id	sid	tid	token	lemma	pos
cord-186927-b8i85vo7	1	1	key	key	ADJ
cord-186927-b8i85vo7	1	2	:	:	PUNCT
cord-186927-b8i85vo7	1	3	cord-186927	cord-186927	PROPN
cord-186927-b8i85vo7	1	4	-	-	PUNCT
cord-186927-b8i85vo7	1	5	b8i85vo7	b8i85vo7	PROPN
cord-186927-b8i85vo7	1	6	authors	author	NOUN
cord-186927-b8i85vo7	1	7	:	:	PUNCT
cord-186927-b8i85vo7	1	8	hubert	hubert	PROPN
cord-186927-b8i85vo7	1	9	,	,	PUNCT
cord-186927-b8i85vo7	1	10	emma	emma	PROPN
cord-186927-b8i85vo7	1	11	;	;	PUNCT
cord-186927-b8i85vo7	1	12	mastrolia	mastrolia	PROPN
cord-186927-b8i85vo7	1	13	,	,	PUNCT
cord-186927-b8i85vo7	1	14	thibaut	thibaut	PROPN
cord-186927-b8i85vo7	1	15	;	;	PUNCT
cord-186927-b8i85vo7	1	16	possamai	possamai	INTJ
cord-186927-b8i85vo7	1	17	,	,	PUNCT
cord-186927-b8i85vo7	1	18	dylan	dylan	PROPN
cord-186927-b8i85vo7	1	19	;	;	PUNCT
cord-186927-b8i85vo7	1	20	warin	warin	PROPN
cord-186927-b8i85vo7	1	21	,	,	PUNCT
cord-186927-b8i85vo7	1	22	xavier	xavi	ADJ
cord-186927-b8i85vo7	1	23	title	title	NOUN
cord-186927-b8i85vo7	1	24	:	:	PUNCT
cord-186927-b8i85vo7	1	25	incentives	incentive	NOUN
cord-186927-b8i85vo7	1	26	,	,	PUNCT
cord-186927-b8i85vo7	1	27	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	1	28	,	,	PUNCT
cord-186927-b8i85vo7	1	29	and	and	CCONJ
cord-186927-b8i85vo7	1	30	testing	testing	NOUN
cord-186927-b8i85vo7	1	31	:	:	PUNCT
cord-186927-b8i85vo7	1	32	from	from	ADP
cord-186927-b8i85vo7	1	33	thucydides	thucydides	PROPN
cord-186927-b8i85vo7	1	34	's	's	PART
cord-186927-b8i85vo7	1	35	analysis	analysis	NOUN
cord-186927-b8i85vo7	1	36	to	to	ADP
cord-186927-b8i85vo7	1	37	the	the	DET
cord-186927-b8i85vo7	1	38	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	1	39	pandemic	pandemic	ADJ
cord-186927-b8i85vo7	1	40	date	date	NOUN
cord-186927-b8i85vo7	1	41	:	:	PUNCT
cord-186927-b8i85vo7	1	42	2020	2020	NUM
cord-186927-b8i85vo7	1	43	-	-	SYM
cord-186927-b8i85vo7	1	44	09	09	NUM
cord-186927-b8i85vo7	1	45	-	-	PUNCT
cord-186927-b8i85vo7	1	46	01	01	NUM
cord-186927-b8i85vo7	1	47	journal	journal	NOUN
cord-186927-b8i85vo7	1	48	:	:	PUNCT
cord-186927-b8i85vo7	1	49	nan	nan	PROPN
cord-186927-b8i85vo7	1	50	doi	doi	PROPN
cord-186927-b8i85vo7	1	51	:	:	PUNCT
cord-186927-b8i85vo7	1	52	nan	nan	PROPN
cord-186927-b8i85vo7	1	53	sha	shall	AUX
cord-186927-b8i85vo7	1	54	:	:	PUNCT
cord-186927-b8i85vo7	2	1	doc_id	doc_id	X
cord-186927-b8i85vo7	2	2	:	:	PUNCT
cord-186927-b8i85vo7	2	3	186927	186927	NUM
cord-186927-b8i85vo7	2	4	cord_uid	cord_uid	PROPN
cord-186927-b8i85vo7	2	5	:	:	PUNCT
cord-186927-b8i85vo7	2	6	b8i85vo7	b8i85vo7	PRON
cord-186927-b8i85vo7	2	7	we	we	PRON
cord-186927-b8i85vo7	2	8	consider	consider	VERB
cord-186927-b8i85vo7	2	9	the	the	DET
cord-186927-b8i85vo7	2	10	control	control	NOUN
cord-186927-b8i85vo7	2	11	of	of	ADP
cord-186927-b8i85vo7	2	12	the	the	DET
cord-186927-b8i85vo7	2	13	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	2	14	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	2	15	via	via	ADP
cord-186927-b8i85vo7	2	16	incentives	incentive	NOUN
cord-186927-b8i85vo7	2	17	,	,	PUNCT
cord-186927-b8i85vo7	2	18	through	through	ADP
cord-186927-b8i85vo7	2	19	either	either	CCONJ
cord-186927-b8i85vo7	2	20	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	2	21	sis	sis	NOUN
cord-186927-b8i85vo7	2	22	or	or	CCONJ
cord-186927-b8i85vo7	2	23	sir	sir	PROPN
cord-186927-b8i85vo7	2	24	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	2	25	models	model	NOUN
cord-186927-b8i85vo7	2	26	.	.	PUNCT
cord-186927-b8i85vo7	3	1	when	when	SCONJ
cord-186927-b8i85vo7	3	2	the	the	DET
cord-186927-b8i85vo7	3	3	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	3	4	is	be	AUX
cord-186927-b8i85vo7	3	5	ongoing	ongoing	ADJ
cord-186927-b8i85vo7	3	6	,	,	PUNCT
cord-186927-b8i85vo7	3	7	the	the	DET
cord-186927-b8i85vo7	3	8	population	population	NOUN
cord-186927-b8i85vo7	3	9	can	can	AUX
cord-186927-b8i85vo7	3	10	reduce	reduce	VERB
cord-186927-b8i85vo7	3	11	interactions	interaction	NOUN
cord-186927-b8i85vo7	3	12	between	between	ADP
cord-186927-b8i85vo7	3	13	individuals	individual	NOUN
cord-186927-b8i85vo7	3	14	in	in	ADP
cord-186927-b8i85vo7	3	15	order	order	NOUN
cord-186927-b8i85vo7	3	16	to	to	PART
cord-186927-b8i85vo7	3	17	decrease	decrease	VERB
cord-186927-b8i85vo7	3	18	the	the	DET
cord-186927-b8i85vo7	3	19	rate	rate	NOUN
cord-186927-b8i85vo7	3	20	of	of	ADP
cord-186927-b8i85vo7	3	21	transmission	transmission	NOUN
cord-186927-b8i85vo7	3	22	of	of	ADP
cord-186927-b8i85vo7	3	23	the	the	DET
cord-186927-b8i85vo7	3	24	disease	disease	NOUN
cord-186927-b8i85vo7	3	25	,	,	PUNCT
cord-186927-b8i85vo7	3	26	and	and	CCONJ
cord-186927-b8i85vo7	3	27	thus	thus	ADV
cord-186927-b8i85vo7	3	28	limit	limit	VERB
cord-186927-b8i85vo7	3	29	the	the	DET
cord-186927-b8i85vo7	3	30	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	3	31	.	.	PUNCT
cord-186927-b8i85vo7	4	1	however	however	ADV
cord-186927-b8i85vo7	4	2	,	,	PUNCT
cord-186927-b8i85vo7	4	3	this	this	DET
cord-186927-b8i85vo7	4	4	effort	effort	NOUN
cord-186927-b8i85vo7	4	5	comes	come	VERB
cord-186927-b8i85vo7	4	6	at	at	ADP
cord-186927-b8i85vo7	4	7	a	a	DET
cord-186927-b8i85vo7	4	8	cost	cost	NOUN
cord-186927-b8i85vo7	4	9	for	for	ADP
cord-186927-b8i85vo7	4	10	the	the	DET
cord-186927-b8i85vo7	4	11	population	population	NOUN
cord-186927-b8i85vo7	4	12	.	.	PUNCT
cord-186927-b8i85vo7	5	1	therefore	therefore	ADV
cord-186927-b8i85vo7	5	2	,	,	PUNCT
cord-186927-b8i85vo7	5	3	the	the	DET
cord-186927-b8i85vo7	5	4	government	government	NOUN
cord-186927-b8i85vo7	5	5	can	can	AUX
cord-186927-b8i85vo7	5	6	put	put	VERB
cord-186927-b8i85vo7	5	7	into	into	ADP
cord-186927-b8i85vo7	5	8	place	place	NOUN
cord-186927-b8i85vo7	5	9	incentive	incentive	NOUN
cord-186927-b8i85vo7	5	10	policies	policy	NOUN
cord-186927-b8i85vo7	5	11	to	to	PART
cord-186927-b8i85vo7	5	12	encourage	encourage	VERB
cord-186927-b8i85vo7	5	13	the	the	DET
cord-186927-b8i85vo7	5	14	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	5	15	of	of	ADP
cord-186927-b8i85vo7	5	16	the	the	DET
cord-186927-b8i85vo7	5	17	population	population	NOUN
cord-186927-b8i85vo7	5	18	.	.	PUNCT
cord-186927-b8i85vo7	6	1	in	in	ADP
cord-186927-b8i85vo7	6	2	addition	addition	NOUN
cord-186927-b8i85vo7	6	3	,	,	PUNCT
cord-186927-b8i85vo7	6	4	the	the	DET
cord-186927-b8i85vo7	6	5	government	government	NOUN
cord-186927-b8i85vo7	6	6	may	may	AUX
cord-186927-b8i85vo7	6	7	also	also	ADV
cord-186927-b8i85vo7	6	8	implement	implement	VERB
cord-186927-b8i85vo7	6	9	a	a	DET
cord-186927-b8i85vo7	6	10	testing	testing	NOUN
cord-186927-b8i85vo7	6	11	policy	policy	NOUN
cord-186927-b8i85vo7	6	12	in	in	ADP
cord-186927-b8i85vo7	6	13	order	order	NOUN
cord-186927-b8i85vo7	6	14	to	to	PART
cord-186927-b8i85vo7	6	15	know	know	VERB
cord-186927-b8i85vo7	6	16	more	more	ADV
cord-186927-b8i85vo7	6	17	precisely	precisely	ADV
cord-186927-b8i85vo7	6	18	the	the	DET
cord-186927-b8i85vo7	6	19	spread	spread	NOUN
cord-186927-b8i85vo7	6	20	of	of	ADP
cord-186927-b8i85vo7	6	21	the	the	DET
cord-186927-b8i85vo7	6	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	6	23	within	within	ADP
cord-186927-b8i85vo7	6	24	the	the	DET
cord-186927-b8i85vo7	6	25	country	country	NOUN
cord-186927-b8i85vo7	6	26	,	,	PUNCT
cord-186927-b8i85vo7	6	27	and	and	CCONJ
cord-186927-b8i85vo7	6	28	to	to	PART
cord-186927-b8i85vo7	6	29	isolate	isolate	VERB
cord-186927-b8i85vo7	6	30	infected	infected	ADJ
cord-186927-b8i85vo7	6	31	individuals	individual	NOUN
cord-186927-b8i85vo7	6	32	.	.	PUNCT
cord-186927-b8i85vo7	7	1	we	we	PRON
cord-186927-b8i85vo7	7	2	provide	provide	VERB
cord-186927-b8i85vo7	7	3	numerical	numerical	ADJ
cord-186927-b8i85vo7	7	4	examples	example	NOUN
cord-186927-b8i85vo7	7	5	,	,	PUNCT
cord-186927-b8i85vo7	7	6	as	as	ADV
cord-186927-b8i85vo7	7	7	well	well	ADV
cord-186927-b8i85vo7	7	8	as	as	ADP
cord-186927-b8i85vo7	7	9	an	an	DET
cord-186927-b8i85vo7	7	10	extension	extension	NOUN
cord-186927-b8i85vo7	7	11	to	to	ADP
cord-186927-b8i85vo7	7	12	a	a	DET
cord-186927-b8i85vo7	7	13	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	7	14	seir	seir	NOUN
cord-186927-b8i85vo7	7	15	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	7	16	model	model	NOUN
cord-186927-b8i85vo7	7	17	to	to	PART
cord-186927-b8i85vo7	7	18	account	account	VERB
cord-186927-b8i85vo7	7	19	for	for	ADP
cord-186927-b8i85vo7	7	20	the	the	DET
cord-186927-b8i85vo7	7	21	relatively	relatively	ADV
cord-186927-b8i85vo7	7	22	long	long	ADJ
cord-186927-b8i85vo7	7	23	latency	latency	NOUN
cord-186927-b8i85vo7	7	24	period	period	NOUN
cord-186927-b8i85vo7	7	25	of	of	ADP
cord-186927-b8i85vo7	7	26	the	the	DET
cord-186927-b8i85vo7	7	27	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	7	28	disease	disease	NOUN
cord-186927-b8i85vo7	7	29	.	.	PUNCT
cord-186927-b8i85vo7	8	1	the	the	DET
cord-186927-b8i85vo7	8	2	numerical	numerical	ADJ
cord-186927-b8i85vo7	8	3	results	result	NOUN
cord-186927-b8i85vo7	8	4	confirm	confirm	VERB
cord-186927-b8i85vo7	8	5	the	the	DET
cord-186927-b8i85vo7	8	6	relevance	relevance	NOUN
cord-186927-b8i85vo7	8	7	of	of	ADP
cord-186927-b8i85vo7	8	8	a	a	DET
cord-186927-b8i85vo7	8	9	tax	tax	NOUN
cord-186927-b8i85vo7	8	10	and	and	CCONJ
cord-186927-b8i85vo7	8	11	testing	testing	NOUN
cord-186927-b8i85vo7	8	12	policy	policy	NOUN
cord-186927-b8i85vo7	8	13	to	to	PART
cord-186927-b8i85vo7	8	14	improve	improve	VERB
cord-186927-b8i85vo7	8	15	the	the	DET
cord-186927-b8i85vo7	8	16	control	control	NOUN
cord-186927-b8i85vo7	8	17	of	of	ADP
cord-186927-b8i85vo7	8	18	an	an	DET
cord-186927-b8i85vo7	8	19	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	8	20	.	.	PUNCT
cord-186927-b8i85vo7	9	1	more	more	ADV
cord-186927-b8i85vo7	9	2	precisely	precisely	ADV
cord-186927-b8i85vo7	9	3	,	,	PUNCT
cord-186927-b8i85vo7	9	4	if	if	SCONJ
cord-186927-b8i85vo7	9	5	a	a	DET
cord-186927-b8i85vo7	9	6	tax	tax	NOUN
cord-186927-b8i85vo7	9	7	policy	policy	NOUN
cord-186927-b8i85vo7	9	8	is	be	AUX
cord-186927-b8i85vo7	9	9	put	put	VERB
cord-186927-b8i85vo7	9	10	into	into	ADP
cord-186927-b8i85vo7	9	11	place	place	NOUN
cord-186927-b8i85vo7	9	12	,	,	PUNCT
cord-186927-b8i85vo7	9	13	even	even	ADV
cord-186927-b8i85vo7	9	14	in	in	ADP
cord-186927-b8i85vo7	9	15	the	the	DET
cord-186927-b8i85vo7	9	16	absence	absence	NOUN
cord-186927-b8i85vo7	9	17	of	of	ADP
cord-186927-b8i85vo7	9	18	a	a	DET
cord-186927-b8i85vo7	9	19	specific	specific	ADJ
cord-186927-b8i85vo7	9	20	testing	testing	NOUN
cord-186927-b8i85vo7	9	21	policy	policy	NOUN
cord-186927-b8i85vo7	9	22	,	,	PUNCT
cord-186927-b8i85vo7	9	23	the	the	DET
cord-186927-b8i85vo7	9	24	population	population	NOUN
cord-186927-b8i85vo7	9	25	is	be	AUX
cord-186927-b8i85vo7	9	26	encouraged	encourage	VERB
cord-186927-b8i85vo7	9	27	to	to	PART
cord-186927-b8i85vo7	9	28	significantly	significantly	ADV
cord-186927-b8i85vo7	9	29	reduce	reduce	VERB
cord-186927-b8i85vo7	9	30	its	its	PRON
cord-186927-b8i85vo7	9	31	interactions	interaction	NOUN
cord-186927-b8i85vo7	9	32	,	,	PUNCT
cord-186927-b8i85vo7	9	33	thus	thus	ADV
cord-186927-b8i85vo7	9	34	limiting	limit	VERB
cord-186927-b8i85vo7	9	35	the	the	DET
cord-186927-b8i85vo7	9	36	spread	spread	NOUN
cord-186927-b8i85vo7	9	37	of	of	ADP
cord-186927-b8i85vo7	9	38	the	the	DET
cord-186927-b8i85vo7	9	39	disease	disease	NOUN
cord-186927-b8i85vo7	9	40	.	.	PUNCT
cord-186927-b8i85vo7	10	1	if	if	SCONJ
cord-186927-b8i85vo7	10	2	the	the	DET
cord-186927-b8i85vo7	10	3	government	government	NOUN
cord-186927-b8i85vo7	10	4	also	also	ADV
cord-186927-b8i85vo7	10	5	adjusts	adjust	VERB
cord-186927-b8i85vo7	10	6	its	its	PRON
cord-186927-b8i85vo7	10	7	testing	testing	NOUN
cord-186927-b8i85vo7	10	8	policy	policy	NOUN
cord-186927-b8i85vo7	10	9	,	,	PUNCT
cord-186927-b8i85vo7	10	10	less	less	ADJ
cord-186927-b8i85vo7	10	11	effort	effort	NOUN
cord-186927-b8i85vo7	10	12	is	be	AUX
cord-186927-b8i85vo7	10	13	required	require	VERB
cord-186927-b8i85vo7	10	14	on	on	ADP
cord-186927-b8i85vo7	10	15	the	the	DET
cord-186927-b8i85vo7	10	16	population	population	NOUN
cord-186927-b8i85vo7	10	17	side	side	NOUN
cord-186927-b8i85vo7	10	18	,	,	PUNCT
cord-186927-b8i85vo7	10	19	so	so	SCONJ
cord-186927-b8i85vo7	10	20	individuals	individual	NOUN
cord-186927-b8i85vo7	10	21	can	can	AUX
cord-186927-b8i85vo7	10	22	interact	interact	VERB
cord-186927-b8i85vo7	10	23	almost	almost	ADV
cord-186927-b8i85vo7	10	24	as	as	ADP
cord-186927-b8i85vo7	10	25	usual	usual	ADJ
cord-186927-b8i85vo7	10	26	,	,	PUNCT
cord-186927-b8i85vo7	10	27	and	and	CCONJ
cord-186927-b8i85vo7	10	28	the	the	DET
cord-186927-b8i85vo7	10	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	10	30	is	be	AUX
cord-186927-b8i85vo7	10	31	largely	largely	ADV
cord-186927-b8i85vo7	10	32	contained	contain	VERB
cord-186927-b8i85vo7	10	33	by	by	ADP
cord-186927-b8i85vo7	10	34	the	the	DET
cord-186927-b8i85vo7	10	35	targeted	target	VERB
cord-186927-b8i85vo7	10	36	isolation	isolation	NOUN
cord-186927-b8i85vo7	10	37	of	of	ADP
cord-186927-b8i85vo7	10	38	positively	positively	ADV
cord-186927-b8i85vo7	10	39	-	-	PUNCT
cord-186927-b8i85vo7	10	40	tested	test	VERB
cord-186927-b8i85vo7	10	41	individuals	individual	NOUN
cord-186927-b8i85vo7	10	42	.	.	PUNCT
cord-186927-b8i85vo7	11	1	starting	start	VERB
cord-186927-b8i85vo7	11	2	around	around	ADP
cord-186927-b8i85vo7	11	3	430	430	NUM
cord-186927-b8i85vo7	11	4	bc	bc	PROPN
cord-186927-b8i85vo7	11	5	,	,	PUNCT
cord-186927-b8i85vo7	11	6	and	and	CCONJ
cord-186927-b8i85vo7	11	7	known	know	VERB
cord-186927-b8i85vo7	11	8	as	as	ADP
cord-186927-b8i85vo7	11	9	the	the	DET
cord-186927-b8i85vo7	11	10	first	first	ADJ
cord-186927-b8i85vo7	11	11	historically	historically	ADV
cord-186927-b8i85vo7	11	12	well	well	ADV
cord-186927-b8i85vo7	11	13	-	-	PUNCT
cord-186927-b8i85vo7	11	14	documented	document	VERB
cord-186927-b8i85vo7	11	15	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	11	16	,	,	PUNCT
cord-186927-b8i85vo7	11	17	the	the	DET
cord-186927-b8i85vo7	11	18	plague	plague	NOUN
cord-186927-b8i85vo7	11	19	of	of	ADP
cord-186927-b8i85vo7	11	20	athens	athens	PROPN
cord-186927-b8i85vo7	11	21	killed	kill	VERB
cord-186927-b8i85vo7	11	22	between	between	ADP
cord-186927-b8i85vo7	11	23	a	a	DET
cord-186927-b8i85vo7	11	24	quarter	quarter	NOUN
cord-186927-b8i85vo7	11	25	and	and	CCONJ
cord-186927-b8i85vo7	11	26	a	a	DET
cord-186927-b8i85vo7	11	27	third	third	NOUN
cord-186927-b8i85vo7	11	28	of	of	ADP
cord-186927-b8i85vo7	11	29	athenians	athenian	NOUN
cord-186927-b8i85vo7	11	30	,	,	PUNCT
cord-186927-b8i85vo7	11	31	as	as	SCONJ
cord-186927-b8i85vo7	11	32	reported	report	VERB
cord-186927-b8i85vo7	11	33	by	by	ADP
cord-186927-b8i85vo7	11	34	thucydides	thucydide	NOUN
cord-186927-b8i85vo7	11	35	.	.	PUNCT
cord-186927-b8i85vo7	12	1	he	he	PRON
cord-186927-b8i85vo7	12	2	described	describe	VERB
cord-186927-b8i85vo7	12	3	the	the	DET
cord-186927-b8i85vo7	12	4	reaction	reaction	NOUN
cord-186927-b8i85vo7	12	5	of	of	ADP
cord-186927-b8i85vo7	12	6	common	common	ADJ
cord-186927-b8i85vo7	12	7	athenians	athenian	NOUN
cord-186927-b8i85vo7	12	8	and	and	CCONJ
cord-186927-b8i85vo7	12	9	physicians	physician	NOUN
cord-186927-b8i85vo7	12	10	of	of	ADP
cord-186927-b8i85vo7	12	11	the	the	DET
cord-186927-b8i85vo7	12	12	time	time	NOUN
cord-186927-b8i85vo7	12	13	alike	alike	ADV
cord-186927-b8i85vo7	12	14	in	in	ADP
cord-186927-b8i85vo7	12	15	these	these	DET
cord-186927-b8i85vo7	12	16	terms	term	NOUN
cord-186927-b8i85vo7	12	17	for	for	ADP
cord-186927-b8i85vo7	12	18	a	a	DET
cord-186927-b8i85vo7	12	19	while	while	NOUN
cord-186927-b8i85vo7	12	20	physicians	physician	NOUN
cord-186927-b8i85vo7	12	21	,	,	PUNCT
cord-186927-b8i85vo7	12	22	in	in	ADP
cord-186927-b8i85vo7	12	23	ignorance	ignorance	NOUN
cord-186927-b8i85vo7	12	24	of	of	ADP
cord-186927-b8i85vo7	12	25	the	the	DET
cord-186927-b8i85vo7	12	26	nature	nature	NOUN
cord-186927-b8i85vo7	12	27	of	of	ADP
cord-186927-b8i85vo7	12	28	the	the	DET
cord-186927-b8i85vo7	12	29	disease	disease	NOUN
cord-186927-b8i85vo7	12	30	,	,	PUNCT
cord-186927-b8i85vo7	12	31	sought	seek	VERB
cord-186927-b8i85vo7	12	32	to	to	PART
cord-186927-b8i85vo7	12	33	apply	apply	VERB
cord-186927-b8i85vo7	12	34	remedies	remedy	NOUN
cord-186927-b8i85vo7	12	35	;	;	PUNCT
cord-186927-b8i85vo7	12	36	but	but	CCONJ
cord-186927-b8i85vo7	12	37	it	it	PRON
cord-186927-b8i85vo7	12	38	was	be	AUX
cord-186927-b8i85vo7	12	39	in	in	ADP
cord-186927-b8i85vo7	12	40	vain	vain	ADJ
cord-186927-b8i85vo7	12	41	,	,	PUNCT
cord-186927-b8i85vo7	12	42	and	and	CCONJ
cord-186927-b8i85vo7	12	43	they	they	PRON
cord-186927-b8i85vo7	12	44	themselves	themselves	PRON
cord-186927-b8i85vo7	12	45	were	be	AUX
cord-186927-b8i85vo7	12	46	among	among	ADP
cord-186927-b8i85vo7	12	47	the	the	DET
cord-186927-b8i85vo7	12	48	first	first	ADJ
cord-186927-b8i85vo7	12	49	victims	victim	NOUN
cord-186927-b8i85vo7	12	50	,	,	PUNCT
cord-186927-b8i85vo7	12	51	because	because	SCONJ
cord-186927-b8i85vo7	12	52	they	they	PRON
cord-186927-b8i85vo7	12	53	oftenest	oftenest	ADV
cord-186927-b8i85vo7	12	54	came	come	VERB
cord-186927-b8i85vo7	12	55	into	into	ADP
cord-186927-b8i85vo7	12	56	contact	contact	NOUN
cord-186927-b8i85vo7	12	57	with	with	ADP
cord-186927-b8i85vo7	12	58	it	it	PRON
cord-186927-b8i85vo7	12	59	.	.	PUNCT
cord-186927-b8i85vo7	13	1	no	no	DET
cord-186927-b8i85vo7	13	2	human	human	ADJ
cord-186927-b8i85vo7	13	3	art	art	NOUN
cord-186927-b8i85vo7	13	4	was	be	AUX
cord-186927-b8i85vo7	13	5	of	of	ADP
cord-186927-b8i85vo7	13	6	any	any	DET
cord-186927-b8i85vo7	13	7	avail	avail	NOUN
cord-186927-b8i85vo7	13	8	,	,	PUNCT
cord-186927-b8i85vo7	13	9	and	and	CCONJ
cord-186927-b8i85vo7	13	10	as	as	ADP
cord-186927-b8i85vo7	13	11	to	to	ADP
cord-186927-b8i85vo7	13	12	supplications	supplication	NOUN
cord-186927-b8i85vo7	13	13	in	in	ADP
cord-186927-b8i85vo7	13	14	temples	temple	NOUN
cord-186927-b8i85vo7	13	15	,	,	PUNCT
cord-186927-b8i85vo7	13	16	inquiries	inquiry	NOUN
cord-186927-b8i85vo7	13	17	of	of	ADP
cord-186927-b8i85vo7	13	18	oracles	oracle	NOUN
cord-186927-b8i85vo7	13	19	,	,	PUNCT
cord-186927-b8i85vo7	13	20	and	and	CCONJ
cord-186927-b8i85vo7	13	21	the	the	DET
cord-186927-b8i85vo7	13	22	like	like	INTJ
cord-186927-b8i85vo7	13	23	,	,	PUNCT
cord-186927-b8i85vo7	13	24	they	they	PRON
cord-186927-b8i85vo7	13	25	were	be	AUX
cord-186927-b8i85vo7	13	26	utterly	utterly	ADV
cord-186927-b8i85vo7	13	27	useless	useless	ADJ
cord-186927-b8i85vo7	13	28	,	,	PUNCT
cord-186927-b8i85vo7	13	29	and	and	CCONJ
cord-186927-b8i85vo7	13	30	at	at	ADP
cord-186927-b8i85vo7	13	31	last	last	ADJ
cord-186927-b8i85vo7	13	32	men	man	NOUN
cord-186927-b8i85vo7	13	33	were	be	AUX
cord-186927-b8i85vo7	13	34	overpowered	overpower	VERB
cord-186927-b8i85vo7	13	35	by	by	ADP
cord-186927-b8i85vo7	13	36	the	the	DET
cord-186927-b8i85vo7	13	37	calamity	calamity	NOUN
cord-186927-b8i85vo7	13	38	and	and	CCONJ
cord-186927-b8i85vo7	13	39	gave	give	VERB
cord-186927-b8i85vo7	13	40	them	they	PRON
cord-186927-b8i85vo7	13	41	all	all	PRON
cord-186927-b8i85vo7	13	42	up	up	ADP
cord-186927-b8i85vo7	13	43	.	.	PUNCT
cord-186927-b8i85vo7	14	1	(	(	PUNCT
cord-186927-b8i85vo7	14	2	jowett	jowett	PROPN
cord-186927-b8i85vo7	14	3	[	[	X
cord-186927-b8i85vo7	14	4	60	60	NUM
cord-186927-b8i85vo7	14	5	,	,	PUNCT
cord-186927-b8i85vo7	14	6	volume	volume	NOUN
cord-186927-b8i85vo7	14	7	i	i	NOUN
cord-186927-b8i85vo7	14	8	,	,	PUNCT
cord-186927-b8i85vo7	14	9	book	book	NOUN
cord-186927-b8i85vo7	14	10	ii	ii	PROPN
cord-186927-b8i85vo7	14	11	,	,	PUNCT
cord-186927-b8i85vo7	14	12	pp	pp	PROPN
cord-186927-b8i85vo7	14	13	.	.	PROPN
cord-186927-b8i85vo7	14	14	135	135	NUM
cord-186927-b8i85vo7	14	15	]	]	PUNCT
cord-186927-b8i85vo7	14	16	)	)	PUNCT
cord-186927-b8i85vo7	14	17	thucydides	thucydide	NOUN
cord-186927-b8i85vo7	14	18	analysed	analyse	VERB
cord-186927-b8i85vo7	14	19	the	the	DET
cord-186927-b8i85vo7	14	20	consequences	consequence	NOUN
cord-186927-b8i85vo7	14	21	of	of	ADP
cord-186927-b8i85vo7	14	22	this	this	DET
cord-186927-b8i85vo7	14	23	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	14	24	,	,	PUNCT
cord-186927-b8i85vo7	14	25	and	and	CCONJ
cord-186927-b8i85vo7	14	26	concluded	conclude	VERB
cord-186927-b8i85vo7	14	27	that	that	SCONJ
cord-186927-b8i85vo7	14	28	it	it	PRON
cord-186927-b8i85vo7	14	29	had	have	AUX
cord-186927-b8i85vo7	14	30	led	lead	VERB
cord-186927-b8i85vo7	14	31	a	a	DET
cord-186927-b8i85vo7	14	32	moral	moral	ADJ
cord-186927-b8i85vo7	14	33	upheaval	upheaval	NOUN
cord-186927-b8i85vo7	14	34	for	for	ADP
cord-186927-b8i85vo7	14	35	the	the	DET
cord-186927-b8i85vo7	14	36	athenians	athenian	NOUN
cord-186927-b8i85vo7	14	37	,	,	PUNCT
cord-186927-b8i85vo7	14	38	faced	face	VERB
cord-186927-b8i85vo7	14	39	with	with	ADP
cord-186927-b8i85vo7	14	40	the	the	DET
cord-186927-b8i85vo7	14	41	complete	complete	ADJ
cord-186927-b8i85vo7	14	42	lack	lack	NOUN
cord-186927-b8i85vo7	14	43	of	of	ADP
cord-186927-b8i85vo7	14	44	any	any	DET
cord-186927-b8i85vo7	14	45	useful	useful	ADJ
cord-186927-b8i85vo7	14	46	cure	cure	NOUN
cord-186927-b8i85vo7	14	47	.	.	PUNCT
cord-186927-b8i85vo7	15	1	indeed	indeed	ADV
cord-186927-b8i85vo7	15	2	,	,	PUNCT
cord-186927-b8i85vo7	15	3	they	they	PRON
cord-186927-b8i85vo7	15	4	realised	realise	VERB
cord-186927-b8i85vo7	15	5	that	that	SCONJ
cord-186927-b8i85vo7	15	6	their	their	PRON
cord-186927-b8i85vo7	15	7	traditionally	traditionally	ADV
cord-186927-b8i85vo7	15	8	used	use	VERB
cord-186927-b8i85vo7	15	9	policies	policy	NOUN
cord-186927-b8i85vo7	15	10	(	(	PUNCT
cord-186927-b8i85vo7	15	11	mostly	mostly	ADV
cord-186927-b8i85vo7	15	12	of	of	ADP
cord-186927-b8i85vo7	15	13	a	a	DET
cord-186927-b8i85vo7	15	14	religious	religious	ADJ
cord-186927-b8i85vo7	15	15	nature	nature	NOUN
cord-186927-b8i85vo7	15	16	)	)	PUNCT
cord-186927-b8i85vo7	15	17	to	to	PART
cord-186927-b8i85vo7	15	18	face	face	VERB
cord-186927-b8i85vo7	15	19	tragedies	tragedy	NOUN
cord-186927-b8i85vo7	15	20	had	have	VERB
cord-186927-b8i85vo7	15	21	no	no	DET
cord-186927-b8i85vo7	15	22	effect	effect	NOUN
cord-186927-b8i85vo7	15	23	on	on	ADP
cord-186927-b8i85vo7	15	24	the	the	DET
cord-186927-b8i85vo7	15	25	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	15	26	,	,	PUNCT
cord-186927-b8i85vo7	15	27	and	and	CCONJ
cord-186927-b8i85vo7	15	28	that	that	SCONJ
cord-186927-b8i85vo7	15	29	in	in	ADP
cord-186927-b8i85vo7	15	30	the	the	DET
cord-186927-b8i85vo7	15	31	end	end	NOUN
cord-186927-b8i85vo7	15	32	,	,	PUNCT
cord-186927-b8i85vo7	15	33	the	the	DET
cord-186927-b8i85vo7	15	34	disease	disease	NOUN
cord-186927-b8i85vo7	15	35	was	be	AUX
cord-186927-b8i85vo7	15	36	only	only	ADV
cord-186927-b8i85vo7	15	37	stopped	stop	VERB
cord-186927-b8i85vo7	15	38	thanks	thank	NOUN
cord-186927-b8i85vo7	15	39	to	to	ADP
cord-186927-b8i85vo7	15	40	the	the	DET
cord-186927-b8i85vo7	15	41	development	development	NOUN
cord-186927-b8i85vo7	15	42	of	of	ADP
cord-186927-b8i85vo7	15	43	a	a	DET
cord-186927-b8i85vo7	15	44	natural	natural	ADJ
cord-186927-b8i85vo7	15	45	immunity	immunity	NOUN
cord-186927-b8i85vo7	15	46	within	within	ADP
cord-186927-b8i85vo7	15	47	the	the	DET
cord-186927-b8i85vo7	15	48	population	population	NOUN
cord-186927-b8i85vo7	15	49	,	,	PUNCT
cord-186927-b8i85vo7	15	50	during	during	ADP
cord-186927-b8i85vo7	15	51	the	the	DET
cord-186927-b8i85vo7	15	52	first	first	ADJ
cord-186927-b8i85vo7	15	53	four	four	NUM
cord-186927-b8i85vo7	15	54	years	year	NOUN
cord-186927-b8i85vo7	15	55	of	of	ADP
cord-186927-b8i85vo7	15	56	the	the	DET
cord-186927-b8i85vo7	15	57	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	15	58	phase	phase	NOUN
cord-186927-b8i85vo7	15	59	.	.	PUNCT
cord-186927-b8i85vo7	16	1	concerning	concern	VERB
cord-186927-b8i85vo7	16	2	now	now	ADV
cord-186927-b8i85vo7	16	3	more	more	ADV
cord-186927-b8i85vo7	16	4	specifically	specifically	ADV
cord-186927-b8i85vo7	16	5	the	the	DET
cord-186927-b8i85vo7	16	6	spread	spread	NOUN
cord-186927-b8i85vo7	16	7	of	of	ADP
cord-186927-b8i85vo7	16	8	the	the	DET
cord-186927-b8i85vo7	16	9	disease	disease	NOUN
cord-186927-b8i85vo7	16	10	itself	itself	PRON
cord-186927-b8i85vo7	16	11	,	,	PUNCT
cord-186927-b8i85vo7	16	12	thucydides	thucydide	NOUN
cord-186927-b8i85vo7	16	13	wrote	write	VERB
cord-186927-b8i85vo7	16	14	the	the	DET
cord-186927-b8i85vo7	16	15	following	follow	VERB
cord-186927-b8i85vo7	16	16	appalling	appalling	ADJ
cord-186927-b8i85vo7	16	17	too	too	ADV
cord-186927-b8i85vo7	16	18	was	be	AUX
cord-186927-b8i85vo7	16	19	the	the	DET
cord-186927-b8i85vo7	16	20	rapidity	rapidity	NOUN
cord-186927-b8i85vo7	16	21	with	with	ADP
cord-186927-b8i85vo7	16	22	which	which	PRON
cord-186927-b8i85vo7	16	23	men	man	NOUN
cord-186927-b8i85vo7	16	24	caught	catch	VERB
cord-186927-b8i85vo7	16	25	the	the	DET
cord-186927-b8i85vo7	16	26	infection	infection	NOUN
cord-186927-b8i85vo7	16	27	;	;	PUNCT
cord-186927-b8i85vo7	16	28	dying	die	VERB
cord-186927-b8i85vo7	16	29	like	like	ADP
cord-186927-b8i85vo7	16	30	sheep	sheep	NOUN
cord-186927-b8i85vo7	16	31	if	if	SCONJ
cord-186927-b8i85vo7	16	32	they	they	PRON
cord-186927-b8i85vo7	16	33	attended	attend	VERB
cord-186927-b8i85vo7	16	34	on	on	ADP
cord-186927-b8i85vo7	16	35	one	one	NUM
cord-186927-b8i85vo7	16	36	another	another	DET
cord-186927-b8i85vo7	16	37	;	;	PUNCT
cord-186927-b8i85vo7	16	38	and	and	CCONJ
cord-186927-b8i85vo7	16	39	this	this	PRON
cord-186927-b8i85vo7	16	40	was	be	AUX
cord-186927-b8i85vo7	16	41	the	the	DET
cord-186927-b8i85vo7	16	42	principal	principal	ADJ
cord-186927-b8i85vo7	16	43	cause	cause	NOUN
cord-186927-b8i85vo7	16	44	of	of	ADP
cord-186927-b8i85vo7	16	45	mortality	mortality	NOUN
cord-186927-b8i85vo7	16	46	.	.	PUNCT
cord-186927-b8i85vo7	17	1	when	when	SCONJ
cord-186927-b8i85vo7	17	2	they	they	PRON
cord-186927-b8i85vo7	17	3	were	be	AUX
cord-186927-b8i85vo7	17	4	afraid	afraid	ADJ
cord-186927-b8i85vo7	17	5	to	to	PART
cord-186927-b8i85vo7	17	6	visit	visit	VERB
cord-186927-b8i85vo7	17	7	one	one	NUM
cord-186927-b8i85vo7	17	8	another	another	DET
cord-186927-b8i85vo7	17	9	,	,	PUNCT
cord-186927-b8i85vo7	17	10	the	the	DET
cord-186927-b8i85vo7	17	11	sufferers	sufferer	NOUN
cord-186927-b8i85vo7	17	12	died	die	VERB
cord-186927-b8i85vo7	17	13	in	in	ADP
cord-186927-b8i85vo7	17	14	their	their	PRON
cord-186927-b8i85vo7	17	15	solitude	solitude	NOUN
cord-186927-b8i85vo7	17	16	,	,	PUNCT
cord-186927-b8i85vo7	17	17	so	so	SCONJ
cord-186927-b8i85vo7	17	18	that	that	SCONJ
cord-186927-b8i85vo7	17	19	many	many	ADJ
cord-186927-b8i85vo7	17	20	houses	house	NOUN
cord-186927-b8i85vo7	17	21	were	be	AUX
cord-186927-b8i85vo7	17	22	empty	empty	ADJ
cord-186927-b8i85vo7	17	23	because	because	SCONJ
cord-186927-b8i85vo7	17	24	there	there	PRON
cord-186927-b8i85vo7	17	25	had	have	AUX
cord-186927-b8i85vo7	17	26	been	be	AUX
cord-186927-b8i85vo7	17	27	no	no	DET
cord-186927-b8i85vo7	17	28	one	one	NOUN
cord-186927-b8i85vo7	17	29	left	leave	VERB
cord-186927-b8i85vo7	17	30	to	to	PART
cord-186927-b8i85vo7	17	31	take	take	VERB
cord-186927-b8i85vo7	17	32	care	care	NOUN
cord-186927-b8i85vo7	17	33	of	of	ADP
cord-186927-b8i85vo7	17	34	the	the	DET
cord-186927-b8i85vo7	17	35	sick	sick	ADJ
cord-186927-b8i85vo7	17	36	;	;	PUNCT
cord-186927-b8i85vo7	17	37	or	or	CCONJ
cord-186927-b8i85vo7	17	38	if	if	SCONJ
cord-186927-b8i85vo7	17	39	they	they	PRON
cord-186927-b8i85vo7	17	40	ventured	venture	VERB
cord-186927-b8i85vo7	17	41	they	they	PRON
cord-186927-b8i85vo7	17	42	perished	perish	VERB
cord-186927-b8i85vo7	17	43	,	,	PUNCT
cord-186927-b8i85vo7	17	44	especially	especially	ADV
cord-186927-b8i85vo7	17	45	those	those	PRON
cord-186927-b8i85vo7	17	46	who	who	PRON
cord-186927-b8i85vo7	17	47	aspired	aspire	VERB
cord-186927-b8i85vo7	17	48	to	to	ADP
cord-186927-b8i85vo7	17	49	heroism	heroism	NOUN
cord-186927-b8i85vo7	17	50	.	.	PUNCT
cord-186927-b8i85vo7	18	1	for	for	SCONJ
cord-186927-b8i85vo7	18	2	they	they	PRON
cord-186927-b8i85vo7	18	3	went	go	VERB
cord-186927-b8i85vo7	18	4	to	to	PART
cord-186927-b8i85vo7	18	5	see	see	VERB
cord-186927-b8i85vo7	18	6	their	their	PRON
cord-186927-b8i85vo7	18	7	friends	friend	NOUN
cord-186927-b8i85vo7	18	8	without	without	ADP
cord-186927-b8i85vo7	18	9	thought	thought	NOUN
cord-186927-b8i85vo7	18	10	of	of	ADP
cord-186927-b8i85vo7	18	11	themselves	themselves	PRON
cord-186927-b8i85vo7	18	12	and	and	CCONJ
cord-186927-b8i85vo7	18	13	were	be	AUX
cord-186927-b8i85vo7	18	14	ashamed	ashamed	ADJ
cord-186927-b8i85vo7	18	15	to	to	PART
cord-186927-b8i85vo7	18	16	leave	leave	VERB
cord-186927-b8i85vo7	18	17	them	they	PRON
cord-186927-b8i85vo7	18	18	,	,	PUNCT
cord-186927-b8i85vo7	18	19	at	at	ADP
cord-186927-b8i85vo7	18	20	a	a	DET
cord-186927-b8i85vo7	18	21	time	time	NOUN
cord-186927-b8i85vo7	18	22	when	when	SCONJ
cord-186927-b8i85vo7	18	23	the	the	DET
cord-186927-b8i85vo7	18	24	very	very	ADJ
cord-186927-b8i85vo7	18	25	relations	relation	NOUN
cord-186927-b8i85vo7	18	26	of	of	ADP
cord-186927-b8i85vo7	18	27	the	the	DET
cord-186927-b8i85vo7	18	28	dying	dying	NOUN
cord-186927-b8i85vo7	18	29	were	be	AUX
cord-186927-b8i85vo7	18	30	at	at	ADP
cord-186927-b8i85vo7	18	31	last	last	ADJ
cord-186927-b8i85vo7	18	32	growing	grow	VERB
cord-186927-b8i85vo7	18	33	weary	weary	ADJ
cord-186927-b8i85vo7	18	34	and	and	CCONJ
cord-186927-b8i85vo7	18	35	ceased	cease	VERB
cord-186927-b8i85vo7	18	36	even	even	ADV
cord-186927-b8i85vo7	18	37	to	to	PART
cord-186927-b8i85vo7	18	38	make	make	VERB
cord-186927-b8i85vo7	18	39	lamentations	lamentation	NOUN
cord-186927-b8i85vo7	18	40	,	,	PUNCT
cord-186927-b8i85vo7	18	41	overwhelmed	overwhelm	VERB
cord-186927-b8i85vo7	18	42	by	by	ADP
cord-186927-b8i85vo7	18	43	the	the	DET
cord-186927-b8i85vo7	18	44	vastness	vastness	NOUN
cord-186927-b8i85vo7	18	45	of	of	ADP
cord-186927-b8i85vo7	18	46	the	the	DET
cord-186927-b8i85vo7	18	47	calamity	calamity	NOUN
cord-186927-b8i85vo7	18	48	.	.	PUNCT
cord-186927-b8i85vo7	19	1	(	(	PUNCT
cord-186927-b8i85vo7	19	2	jowett	jowett	PROPN
cord-186927-b8i85vo7	19	3	[	[	X
cord-186927-b8i85vo7	19	4	60	60	NUM
cord-186927-b8i85vo7	19	5	,	,	PUNCT
cord-186927-b8i85vo7	19	6	volume	volume	NOUN
cord-186927-b8i85vo7	19	7	i	i	NOUN
cord-186927-b8i85vo7	19	8	,	,	PUNCT
cord-186927-b8i85vo7	19	9	book	book	NOUN
cord-186927-b8i85vo7	19	10	ii	ii	PROPN
cord-186927-b8i85vo7	19	11	,	,	PUNCT
cord-186927-b8i85vo7	19	12	pp	pp	PROPN
cord-186927-b8i85vo7	19	13	.	.	PROPN
cord-186927-b8i85vo7	20	1	138	138	NUM
cord-186927-b8i85vo7	20	2	]	]	PUNCT
cord-186927-b8i85vo7	20	3	)	)	PUNCT
cord-186927-b8i85vo7	20	4	in	in	ADP
cord-186927-b8i85vo7	20	5	thucydides	thucydides	PROPN
cord-186927-b8i85vo7	20	6	's	's	PART
cord-186927-b8i85vo7	20	7	analysis	analysis	NOUN
cord-186927-b8i85vo7	20	8	of	of	ADP
cord-186927-b8i85vo7	20	9	the	the	DET
cord-186927-b8i85vo7	20	10	plague	plague	NOUN
cord-186927-b8i85vo7	20	11	of	of	ADP
cord-186927-b8i85vo7	20	12	athens	athens	PROPN
cord-186927-b8i85vo7	20	13	,	,	PUNCT
cord-186927-b8i85vo7	20	14	we	we	PRON
cord-186927-b8i85vo7	20	15	can	can	AUX
cord-186927-b8i85vo7	20	16	isolate	isolate	VERB
cord-186927-b8i85vo7	20	17	three	three	NUM
cord-186927-b8i85vo7	20	18	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	20	19	questions	question	NOUN
cord-186927-b8i85vo7	20	20	that	that	PRON
cord-186927-b8i85vo7	20	21	need	need	VERB
cord-186927-b8i85vo7	20	22	to	to	PART
cord-186927-b8i85vo7	20	23	be	be	AUX
cord-186927-b8i85vo7	20	24	addressed	address	VERB
cord-186927-b8i85vo7	20	25	whenever	whenever	SCONJ
cord-186927-b8i85vo7	20	26	an	an	DET
cord-186927-b8i85vo7	20	27	unknown	unknown	ADJ
cord-186927-b8i85vo7	20	28	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	20	29	occurs	occur	VERB
cord-186927-b8i85vo7	20	30	.	.	PUNCT
cord-186927-b8i85vo7	21	1	(	(	PUNCT
cord-186927-b8i85vo7	21	2	1	1	X
cord-186927-b8i85vo7	21	3	)	)	PUNCT
cord-186927-b8i85vo7	21	4	how	how	SCONJ
cord-186927-b8i85vo7	21	5	can	can	AUX
cord-186927-b8i85vo7	21	6	one	one	NUM
cord-186927-b8i85vo7	21	7	model	model	VERB
cord-186927-b8i85vo7	21	8	a	a	DET
cord-186927-b8i85vo7	21	9	disease	disease	NOUN
cord-186927-b8i85vo7	21	10	when	when	SCONJ
cord-186927-b8i85vo7	21	11	one	one	PRON
cord-186927-b8i85vo7	21	12	has	have	VERB
cord-186927-b8i85vo7	21	13	,	,	PUNCT
cord-186927-b8i85vo7	21	14	at	at	ADP
cord-186927-b8i85vo7	21	15	best	good	ADJ
cord-186927-b8i85vo7	21	16	,	,	PUNCT
cord-186927-b8i85vo7	21	17	parsimonious	parsimonious	ADJ
cord-186927-b8i85vo7	21	18	information	information	NOUN
cord-186927-b8i85vo7	21	19	on	on	ADP
cord-186927-b8i85vo7	21	20	how	how	SCONJ
cord-186927-b8i85vo7	21	21	it	it	PRON
cord-186927-b8i85vo7	21	22	is	be	AUX
cord-186927-b8i85vo7	21	23	spreading	spread	VERB
cord-186927-b8i85vo7	21	24	among	among	ADP
cord-186927-b8i85vo7	21	25	the	the	DET
cord-186927-b8i85vo7	21	26	population	population	NOUN
cord-186927-b8i85vo7	21	27	?	?	PUNCT
cord-186927-b8i85vo7	22	1	(	(	PUNCT
cord-186927-b8i85vo7	22	2	2	2	X
cord-186927-b8i85vo7	22	3	)	)	PUNCT
cord-186927-b8i85vo7	22	4	how	how	SCONJ
cord-186927-b8i85vo7	22	5	can	can	AUX
cord-186927-b8i85vo7	22	6	one	one	PRON
cord-186927-b8i85vo7	22	7	solve	solve	VERB
cord-186927-b8i85vo7	22	8	the	the	DET
cord-186927-b8i85vo7	22	9	gordian	gordian	PROPN
cord-186927-b8i85vo7	22	10	knot	knot	NOUN
cord-186927-b8i85vo7	22	11	associated	associate	VERB
cord-186927-b8i85vo7	22	12	to	to	ADP
cord-186927-b8i85vo7	22	13	interactions	interaction	NOUN
cord-186927-b8i85vo7	22	14	within	within	ADP
cord-186927-b8i85vo7	22	15	the	the	DET
cord-186927-b8i85vo7	22	16	population	population	NOUN
cord-186927-b8i85vo7	22	17	:	:	PUNCT
cord-186927-b8i85vo7	22	18	enjoying	enjoy	VERB
cord-186927-b8i85vo7	22	19	on	on	ADP
cord-186927-b8i85vo7	22	20	the	the	DET
cord-186927-b8i85vo7	22	21	one	one	NUM
cord-186927-b8i85vo7	22	22	hand	hand	NOUN
cord-186927-b8i85vo7	22	23	the	the	DET
cord-186927-b8i85vo7	22	24	presence	presence	NOUN
cord-186927-b8i85vo7	22	25	of	of	ADP
cord-186927-b8i85vo7	22	26	others	other	NOUN
cord-186927-b8i85vo7	22	27	and	and	CCONJ
cord-186927-b8i85vo7	22	28	avoiding	avoid	VERB
cord-186927-b8i85vo7	22	29	isolation	isolation	NOUN
cord-186927-b8i85vo7	22	30	and	and	CCONJ
cord-186927-b8i85vo7	22	31	solitude	solitude	NOUN
cord-186927-b8i85vo7	22	32	,	,	PUNCT
cord-186927-b8i85vo7	22	33	and	and	CCONJ
cord-186927-b8i85vo7	22	34	on	on	ADP
cord-186927-b8i85vo7	22	35	the	the	DET
cord-186927-b8i85vo7	22	36	other	other	ADJ
cord-186927-b8i85vo7	22	37	hand	hand	NOUN
cord-186927-b8i85vo7	22	38	potentially	potentially	ADV
cord-186927-b8i85vo7	22	39	dramatically	dramatically	ADV
cord-186927-b8i85vo7	22	40	spreading	spread	VERB
cord-186927-b8i85vo7	22	41	the	the	DET
cord-186927-b8i85vo7	22	42	disease	disease	NOUN
cord-186927-b8i85vo7	22	43	?	?	PUNCT
cord-186927-b8i85vo7	23	1	(	(	PUNCT
cord-186927-b8i85vo7	23	2	3	3	X
cord-186927-b8i85vo7	23	3	)	)	PUNCT
cord-186927-b8i85vo7	23	4	how	how	SCONJ
cord-186927-b8i85vo7	23	5	can	can	AUX
cord-186927-b8i85vo7	23	6	governments	government	NOUN
cord-186927-b8i85vo7	23	7	and	and	CCONJ
cord-186927-b8i85vo7	23	8	decisions	decision	NOUN
cord-186927-b8i85vo7	23	9	-	-	PUNCT
cord-186927-b8i85vo7	23	10	makers	maker	NOUN
cord-186927-b8i85vo7	23	11	incentivise	incentivise	VERB
cord-186927-b8i85vo7	23	12	people	people	NOUN
cord-186927-b8i85vo7	23	13	in	in	ADP
cord-186927-b8i85vo7	23	14	order	order	NOUN
cord-186927-b8i85vo7	23	15	to	to	PART
cord-186927-b8i85vo7	23	16	better	well	ADV
cord-186927-b8i85vo7	23	17	control	control	VERB
cord-186927-b8i85vo7	23	18	the	the	DET
cord-186927-b8i85vo7	23	19	spread	spread	NOUN
cord-186927-b8i85vo7	23	20	of	of	ADP
cord-186927-b8i85vo7	23	21	the	the	DET
cord-186927-b8i85vo7	23	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	23	23	?	?	PUNCT
cord-186927-b8i85vo7	24	1	the	the	DET
cord-186927-b8i85vo7	24	2	first	first	ADJ
cord-186927-b8i85vo7	24	3	question	question	NOUN
cord-186927-b8i85vo7	24	4	is	be	AUX
cord-186927-b8i85vo7	24	5	naturally	naturally	ADV
cord-186927-b8i85vo7	24	6	linked	link	VERB
cord-186927-b8i85vo7	24	7	to	to	ADP
cord-186927-b8i85vo7	24	8	several	several	ADJ
cord-186927-b8i85vo7	24	9	strands	strand	NOUN
cord-186927-b8i85vo7	24	10	of	of	ADP
cord-186927-b8i85vo7	24	11	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	24	12	research	research	NOUN
cord-186927-b8i85vo7	24	13	,	,	PUNCT
cord-186927-b8i85vo7	24	14	both	both	PRON
cord-186927-b8i85vo7	24	15	for	for	ADP
cord-186927-b8i85vo7	24	16	mathematicians	mathematician	NOUN
cord-186927-b8i85vo7	24	17	and	and	CCONJ
cord-186927-b8i85vo7	24	18	physicians	physician	NOUN
cord-186927-b8i85vo7	24	19	,	,	PUNCT
cord-186927-b8i85vo7	24	20	dealing	deal	VERB
cord-186927-b8i85vo7	24	21	with	with	ADP
cord-186927-b8i85vo7	24	22	the	the	DET
cord-186927-b8i85vo7	24	23	problem	problem	NOUN
cord-186927-b8i85vo7	24	24	of	of	ADP
cord-186927-b8i85vo7	24	25	choosing	choose	VERB
cord-186927-b8i85vo7	24	26	a	a	DET
cord-186927-b8i85vo7	24	27	relevant	relevant	ADJ
cord-186927-b8i85vo7	24	28	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	24	29	model	model	NOUN
cord-186927-b8i85vo7	24	30	.	.	PUNCT
cord-186927-b8i85vo7	25	1	if	if	SCONJ
cord-186927-b8i85vo7	25	2	the	the	DET
cord-186927-b8i85vo7	25	3	paternity	paternity	NOUN
cord-186927-b8i85vo7	25	4	of	of	ADP
cord-186927-b8i85vo7	25	5	the	the	DET
cord-186927-b8i85vo7	25	6	first	first	ADJ
cord-186927-b8i85vo7	25	7	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	25	8	model	model	NOUN
cord-186927-b8i85vo7	25	9	designed	design	VERB
cord-186927-b8i85vo7	25	10	to	to	PART
cord-186927-b8i85vo7	25	11	describe	describe	VERB
cord-186927-b8i85vo7	25	12	the	the	DET
cord-186927-b8i85vo7	25	13	evolution	evolution	NOUN
cord-186927-b8i85vo7	25	14	of	of	ADP
cord-186927-b8i85vo7	25	15	an	an	DET
cord-186927-b8i85vo7	25	16	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	25	17	is	be	AUX
cord-186927-b8i85vo7	25	18	often	often	ADV
cord-186927-b8i85vo7	25	19	attributed	attribute	VERB
cord-186927-b8i85vo7	25	20	to	to	ADP
cord-186927-b8i85vo7	25	21	bernoulli	bernoulli	PROPN
cord-186927-b8i85vo7	25	22	,	,	PUNCT
cord-186927-b8i85vo7	25	23	who	who	PRON
cord-186927-b8i85vo7	25	24	proposed	propose	VERB
cord-186927-b8i85vo7	25	25	one	one	NUM
cord-186927-b8i85vo7	25	26	for	for	ADP
cord-186927-b8i85vo7	25	27	smallpox	smallpox	NOUN
cord-186927-b8i85vo7	25	28	as	as	ADV
cord-186927-b8i85vo7	25	29	early	early	ADV
cord-186927-b8i85vo7	25	30	as	as	ADP
cord-186927-b8i85vo7	25	31	1760	1760	NUM
cord-186927-b8i85vo7	25	32	in	in	ADP
cord-186927-b8i85vo7	25	33	[	[	X
cord-186927-b8i85vo7	25	34	17	17	NUM
cord-186927-b8i85vo7	25	35	]	]	PUNCT
cord-186927-b8i85vo7	25	36	,	,	PUNCT
cord-186927-b8i85vo7	25	37	the	the	DET
cord-186927-b8i85vo7	25	38	real	real	ADJ
cord-186927-b8i85vo7	25	39	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	25	40	development	development	NOUN
cord-186927-b8i85vo7	25	41	of	of	ADP
cord-186927-b8i85vo7	25	42	the	the	DET
cord-186927-b8i85vo7	25	43	theory	theory	NOUN
cord-186927-b8i85vo7	25	44	had	have	VERB
cord-186927-b8i85vo7	25	45	to	to	PART
cord-186927-b8i85vo7	25	46	wait	wait	VERB
cord-186927-b8i85vo7	25	47	for	for	ADP
cord-186927-b8i85vo7	25	48	the	the	DET
cord-186927-b8i85vo7	25	49	20th	20th	ADJ
cord-186927-b8i85vo7	25	50	century	century	NOUN
cord-186927-b8i85vo7	25	51	,	,	PUNCT
cord-186927-b8i85vo7	25	52	with	with	ADP
cord-186927-b8i85vo7	25	53	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	25	54	contributions	contribution	NOUN
cord-186927-b8i85vo7	25	55	for	for	ADP
cord-186927-b8i85vo7	25	56	the	the	DET
cord-186927-b8i85vo7	25	57	development	development	NOUN
cord-186927-b8i85vo7	25	58	of	of	ADP
cord-186927-b8i85vo7	25	59	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	25	60	models	model	NOUN
cord-186927-b8i85vo7	25	61	by	by	ADP
cord-186927-b8i85vo7	25	62	hamer	hamer	ADJ
cord-186927-b8i85vo7	26	1	[	[	PUNCT
cord-186927-b8i85vo7	26	2	52	52	NUM
cord-186927-b8i85vo7	26	3	]	]	PUNCT
cord-186927-b8i85vo7	26	4	,	,	PUNCT
cord-186927-b8i85vo7	26	5	ross	ross	VERB
cord-186927-b8i85vo7	26	6	[	[	X
cord-186927-b8i85vo7	26	7	88	88	NUM
cord-186927-b8i85vo7	26	8	;	;	PUNCT
cord-186927-b8i85vo7	26	9	89	89	NUM
cord-186927-b8i85vo7	26	10	;	;	PUNCT
cord-186927-b8i85vo7	26	11	90	90	NUM
cord-186927-b8i85vo7	26	12	]	]	PUNCT
cord-186927-b8i85vo7	26	13	,	,	PUNCT
cord-186927-b8i85vo7	26	14	soper	soper	NOUN
cord-186927-b8i85vo7	27	1	[	[	X
cord-186927-b8i85vo7	27	2	98	98	NUM
cord-186927-b8i85vo7	27	3	]	]	PUNCT
cord-186927-b8i85vo7	27	4	,	,	PUNCT
cord-186927-b8i85vo7	27	5	and	and	CCONJ
cord-186927-b8i85vo7	27	6	later	later	ADV
cord-186927-b8i85vo7	27	7	kermack	kermack	NOUN
cord-186927-b8i85vo7	27	8	and	and	CCONJ
cord-186927-b8i85vo7	27	9	mckendrick	mckendrick	PROPN
cord-186927-b8i85vo7	27	10	[	[	PUNCT
cord-186927-b8i85vo7	27	11	64	64	NUM
cord-186927-b8i85vo7	27	12	]	]	PUNCT
cord-186927-b8i85vo7	27	13	,	,	PUNCT
cord-186927-b8i85vo7	27	14	mckendrick	mckendrick	PROPN
cord-186927-b8i85vo7	28	1	[	[	X
cord-186927-b8i85vo7	28	2	75	75	NUM
cord-186927-b8i85vo7	28	3	]	]	PUNCT
cord-186927-b8i85vo7	28	4	,	,	PUNCT
cord-186927-b8i85vo7	28	5	and	and	CCONJ
cord-186927-b8i85vo7	28	6	bartlett	bartlett	NOUN
cord-186927-b8i85vo7	29	1	[	[	PUNCT
cord-186927-b8i85vo7	29	2	13	13	NUM
cord-186927-b8i85vo7	29	3	]	]	PUNCT
cord-186927-b8i85vo7	29	4	who	who	PRON
cord-186927-b8i85vo7	29	5	proposed	propose	VERB
cord-186927-b8i85vo7	29	6	one	one	NUM
cord-186927-b8i85vo7	29	7	of	of	ADP
cord-186927-b8i85vo7	29	8	the	the	DET
cord-186927-b8i85vo7	29	9	first	first	ADJ
cord-186927-b8i85vo7	29	10	general	general	ADJ
cord-186927-b8i85vo7	29	11	investigations	investigation	NOUN
cord-186927-b8i85vo7	29	12	of	of	ADP
cord-186927-b8i85vo7	29	13	the	the	DET
cord-186927-b8i85vo7	29	14	evolution	evolution	NOUN
cord-186927-b8i85vo7	29	15	of	of	ADP
cord-186927-b8i85vo7	29	16	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	29	17	interacting	interacting	NOUN
cord-186927-b8i85vo7	29	18	systems	system	NOUN
cord-186927-b8i85vo7	29	19	,	,	PUNCT
cord-186927-b8i85vo7	29	20	which	which	PRON
cord-186927-b8i85vo7	29	21	was	be	AUX
cord-186927-b8i85vo7	29	22	then	then	ADV
cord-186927-b8i85vo7	29	23	applied	apply	VERB
cord-186927-b8i85vo7	29	24	to	to	ADP
cord-186927-b8i85vo7	29	25	epidemiology	epidemiology	NOUN
cord-186927-b8i85vo7	29	26	in	in	ADP
cord-186927-b8i85vo7	29	27	kendall	kendall	PROPN
cord-186927-b8i85vo7	30	1	[	[	X
cord-186927-b8i85vo7	30	2	63	63	NUM
cord-186927-b8i85vo7	30	3	]	]	PUNCT
cord-186927-b8i85vo7	30	4	.	.	PUNCT
cord-186927-b8i85vo7	31	1	the	the	DET
cord-186927-b8i85vo7	31	2	previous	previous	ADJ
cord-186927-b8i85vo7	31	3	list	list	NOUN
cord-186927-b8i85vo7	31	4	is	be	AUX
cord-186927-b8i85vo7	31	5	by	by	ADP
cord-186927-b8i85vo7	31	6	no	no	DET
cord-186927-b8i85vo7	31	7	means	mean	NOUN
cord-186927-b8i85vo7	31	8	comprehensive	comprehensive	ADJ
cord-186927-b8i85vo7	31	9	,	,	PUNCT
cord-186927-b8i85vo7	31	10	and	and	CCONJ
cord-186927-b8i85vo7	31	11	we	we	PRON
cord-186927-b8i85vo7	31	12	refer	refer	VERB
cord-186927-b8i85vo7	31	13	the	the	DET
cord-186927-b8i85vo7	31	14	interested	interested	ADJ
cord-186927-b8i85vo7	31	15	reader	reader	NOUN
cord-186927-b8i85vo7	31	16	to	to	ADP
cord-186927-b8i85vo7	31	17	the	the	DET
cord-186927-b8i85vo7	31	18	monograph	monograph	NOUN
cord-186927-b8i85vo7	31	19	by	by	ADP
cord-186927-b8i85vo7	31	20	bailey	bailey	PROPN
cord-186927-b8i85vo7	32	1	[	[	X
cord-186927-b8i85vo7	32	2	12	12	NUM
cord-186927-b8i85vo7	32	3	]	]	PUNCT
cord-186927-b8i85vo7	32	4	for	for	ADP
cord-186927-b8i85vo7	32	5	more	more	ADV
cord-186927-b8i85vo7	32	6	historical	historical	ADJ
cord-186927-b8i85vo7	32	7	details	detail	NOUN
cord-186927-b8i85vo7	32	8	.	.	PUNCT
cord-186927-b8i85vo7	33	1	it	it	PRON
cord-186927-b8i85vo7	33	2	was	be	AUX
cord-186927-b8i85vo7	33	3	rapidly	rapidly	ADV
cord-186927-b8i85vo7	33	4	noticed	notice	VERB
cord-186927-b8i85vo7	33	5	that	that	SCONJ
cord-186927-b8i85vo7	33	6	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	33	7	models	model	NOUN
cord-186927-b8i85vo7	33	8	were	be	AUX
cord-186927-b8i85vo7	33	9	insufficient	insufficient	ADJ
cord-186927-b8i85vo7	33	10	to	to	PART
cord-186927-b8i85vo7	33	11	account	account	VERB
cord-186927-b8i85vo7	33	12	for	for	ADP
cord-186927-b8i85vo7	33	13	the	the	DET
cord-186927-b8i85vo7	33	14	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	33	15	associated	associate	VERB
cord-186927-b8i85vo7	33	16	the	the	DET
cord-186927-b8i85vo7	33	17	disease	disease	NOUN
cord-186927-b8i85vo7	33	18	spreading	spread	VERB
cord-186927-b8i85vo7	33	19	,	,	PUNCT
cord-186927-b8i85vo7	33	20	and	and	CCONJ
cord-186927-b8i85vo7	33	21	the	the	DET
cord-186927-b8i85vo7	33	22	technical	technical	ADJ
cord-186927-b8i85vo7	33	23	difficulties	difficulty	NOUN
cord-186927-b8i85vo7	33	24	usually	usually	ADV
cord-186927-b8i85vo7	33	25	encountered	encounter	VERB
cord-186927-b8i85vo7	33	26	for	for	ADP
cord-186927-b8i85vo7	33	27	its	its	PRON
cord-186927-b8i85vo7	33	28	detection	detection	NOUN
cord-186927-b8i85vo7	33	29	.	.	PUNCT
cord-186927-b8i85vo7	34	1	this	this	DET
cord-186927-b8i85vo7	34	2	acknowledgement	acknowledgement	NOUN
cord-186927-b8i85vo7	34	3	helped	help	VERB
cord-186927-b8i85vo7	34	4	nurturing	nurture	VERB
cord-186927-b8i85vo7	34	5	the	the	DET
cord-186927-b8i85vo7	34	6	development	development	NOUN
cord-186927-b8i85vo7	34	7	of	of	ADP
cord-186927-b8i85vo7	34	8	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	34	9	models	model	NOUN
cord-186927-b8i85vo7	34	10	,	,	PUNCT
cord-186927-b8i85vo7	34	11	whose	whose	DET
cord-186927-b8i85vo7	34	12	first	first	ADJ
cord-186927-b8i85vo7	34	13	instances	instance	NOUN
cord-186927-b8i85vo7	34	14	seems	seem	VERB
cord-186927-b8i85vo7	34	15	to	to	PART
cord-186927-b8i85vo7	34	16	be	be	AUX
cord-186927-b8i85vo7	34	17	traced	trace	VERB
cord-186927-b8i85vo7	34	18	back	back	ADV
cord-186927-b8i85vo7	34	19	to	to	ADP
cord-186927-b8i85vo7	34	20	mckendrick	mckendrick	PROPN
cord-186927-b8i85vo7	35	1	[	[	X
cord-186927-b8i85vo7	35	2	74	74	NUM
cord-186927-b8i85vo7	35	3	]	]	PUNCT
cord-186927-b8i85vo7	35	4	and	and	CCONJ
cord-186927-b8i85vo7	35	5	greenwood	greenwood	PROPN
cord-186927-b8i85vo7	36	1	[	[	X
cord-186927-b8i85vo7	36	2	48	48	NUM
cord-186927-b8i85vo7	36	3	]	]	PUNCT
cord-186927-b8i85vo7	36	4	.	.	PUNCT
cord-186927-b8i85vo7	37	1	for	for	ADP
cord-186927-b8i85vo7	37	2	a	a	DET
cord-186927-b8i85vo7	37	3	precise	precise	ADJ
cord-186927-b8i85vo7	37	4	comparison	comparison	NOUN
cord-186927-b8i85vo7	37	5	between	between	ADP
cord-186927-b8i85vo7	37	6	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	37	7	and	and	CCONJ
cord-186927-b8i85vo7	37	8	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	37	9	models	model	NOUN
cord-186927-b8i85vo7	37	10	in	in	ADP
cord-186927-b8i85vo7	37	11	discrete	discrete	ADJ
cord-186927-b8i85vo7	37	12	-	-	PUNCT
cord-186927-b8i85vo7	37	13	time	time	NOUN
cord-186927-b8i85vo7	37	14	settings	setting	NOUN
cord-186927-b8i85vo7	37	15	,	,	PUNCT
cord-186927-b8i85vo7	37	16	we	we	PRON
cord-186927-b8i85vo7	37	17	refer	refer	VERB
cord-186927-b8i85vo7	37	18	our	our	PRON
cord-186927-b8i85vo7	37	19	readers	reader	NOUN
cord-186927-b8i85vo7	37	20	to	to	PART
cord-186927-b8i85vo7	37	21	bailey	bailey	VERB
cord-186927-b8i85vo7	38	1	[	[	PUNCT
cord-186927-b8i85vo7	38	2	12	12	NUM
cord-186927-b8i85vo7	38	3	]	]	PUNCT
cord-186927-b8i85vo7	38	4	,	,	PUNCT
cord-186927-b8i85vo7	38	5	bartlett	bartlett	PROPN
cord-186927-b8i85vo7	38	6	[	[	X
cord-186927-b8i85vo7	38	7	14	14	NUM
cord-186927-b8i85vo7	38	8	]	]	PUNCT
cord-186927-b8i85vo7	38	9	,	,	PUNCT
cord-186927-b8i85vo7	38	10	and	and	CCONJ
cord-186927-b8i85vo7	38	11	allen	allen	VERB
cord-186927-b8i85vo7	38	12	and	and	CCONJ
cord-186927-b8i85vo7	38	13	burgin	burgin	VERB
cord-186927-b8i85vo7	38	14	[	[	X
cord-186927-b8i85vo7	38	15	5	5	NUM
cord-186927-b8i85vo7	38	16	]	]	PUNCT
cord-186927-b8i85vo7	38	17	,	,	PUNCT
cord-186927-b8i85vo7	38	18	and	and	CCONJ
cord-186927-b8i85vo7	38	19	to	to	PART
cord-186927-b8i85vo7	38	20	allen	allen	VERB
cord-186927-b8i85vo7	38	21	[	[	X
cord-186927-b8i85vo7	38	22	4	4	NUM
cord-186927-b8i85vo7	38	23	]	]	X
cord-186927-b8i85vo7	38	24	for	for	ADP
cord-186927-b8i85vo7	38	25	more	more	ADJ
cord-186927-b8i85vo7	38	26	up	up	ADP
cord-186927-b8i85vo7	38	27	-	-	PUNCT
cord-186927-b8i85vo7	38	28	to	to	ADP
cord-186927-b8i85vo7	38	29	-	-	PUNCT
cord-186927-b8i85vo7	38	30	date	date	NOUN
cord-186927-b8i85vo7	38	31	references	reference	NOUN
cord-186927-b8i85vo7	38	32	and	and	CCONJ
cord-186927-b8i85vo7	38	33	an	an	DET
cord-186927-b8i85vo7	38	34	overview	overview	NOUN
cord-186927-b8i85vo7	38	35	of	of	ADP
cord-186927-b8i85vo7	38	36	recent	recent	ADJ
cord-186927-b8i85vo7	38	37	epidemiological	epidemiological	ADJ
cord-186927-b8i85vo7	38	38	models	model	NOUN
cord-186927-b8i85vo7	38	39	.	.	PUNCT
cord-186927-b8i85vo7	39	1	we	we	PRON
cord-186927-b8i85vo7	39	2	will	will	AUX
cord-186927-b8i85vo7	39	3	now	now	ADV
cord-186927-b8i85vo7	39	4	describe	describe	VERB
cord-186927-b8i85vo7	39	5	some	some	DET
cord-186927-b8i85vo7	39	6	specific	specific	ADJ
cord-186927-b8i85vo7	39	7	type	type	NOUN
cord-186927-b8i85vo7	39	8	of	of	ADP
cord-186927-b8i85vo7	39	9	epidemiological	epidemiological	ADJ
cord-186927-b8i85vo7	39	10	models	model	NOUN
cord-186927-b8i85vo7	39	11	,	,	PUNCT
cord-186927-b8i85vo7	39	12	belonging	belong	VERB
cord-186927-b8i85vo7	39	13	to	to	ADP
cord-186927-b8i85vo7	39	14	the	the	DET
cord-186927-b8i85vo7	39	15	general	general	ADJ
cord-186927-b8i85vo7	39	16	class	class	NOUN
cord-186927-b8i85vo7	39	17	of	of	ADP
cord-186927-b8i85vo7	39	18	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	39	19	models	model	NOUN
cord-186927-b8i85vo7	39	20	,	,	PUNCT
cord-186927-b8i85vo7	39	21	and	and	CCONJ
cord-186927-b8i85vo7	39	22	which	which	PRON
cord-186927-b8i85vo7	39	23	will	will	AUX
cord-186927-b8i85vo7	39	24	be	be	AUX
cord-186927-b8i85vo7	39	25	at	at	ADP
cord-186927-b8i85vo7	39	26	the	the	DET
cord-186927-b8i85vo7	39	27	heart	heart	NOUN
cord-186927-b8i85vo7	39	28	of	of	ADP
cord-186927-b8i85vo7	39	29	our	our	PRON
cord-186927-b8i85vo7	39	30	work	work	NOUN
cord-186927-b8i85vo7	39	31	.	.	PUNCT
cord-186927-b8i85vo7	40	1	the	the	DET
cord-186927-b8i85vo7	40	2	first	first	ADJ
cord-186927-b8i85vo7	40	3	one	one	NOUN
cord-186927-b8i85vo7	40	4	considers	consider	VERB
cord-186927-b8i85vo7	40	5	a	a	DET
cord-186927-b8i85vo7	40	6	sort	sort	NOUN
cord-186927-b8i85vo7	40	7	of	of	ADP
cord-186927-b8i85vo7	40	8	worst	bad	ADJ
cord-186927-b8i85vo7	40	9	-	-	PUNCT
cord-186927-b8i85vo7	40	10	case	case	NOUN
cord-186927-b8i85vo7	40	11	scenario	scenario	NOUN
cord-186927-b8i85vo7	40	12	,	,	PUNCT
cord-186927-b8i85vo7	40	13	in	in	ADP
cord-186927-b8i85vo7	40	14	which	which	PRON
cord-186927-b8i85vo7	40	15	an	an	DET
cord-186927-b8i85vo7	40	16	immunity	immunity	NOUN
cord-186927-b8i85vo7	40	17	is	be	AUX
cord-186927-b8i85vo7	40	18	not	not	PART
cord-186927-b8i85vo7	40	19	developed	develop	VERB
cord-186927-b8i85vo7	40	20	after	after	ADP
cord-186927-b8i85vo7	40	21	infection	infection	NOUN
cord-186927-b8i85vo7	40	22	.	.	PUNCT
cord-186927-b8i85vo7	41	1	this	this	PRON
cord-186927-b8i85vo7	41	2	is	be	AUX
cord-186927-b8i85vo7	41	3	specially	specially	ADV
cord-186927-b8i85vo7	41	4	relevant	relevant	ADJ
cord-186927-b8i85vo7	41	5	for	for	ADP
cord-186927-b8i85vo7	41	6	instance	instance	NOUN
cord-186927-b8i85vo7	41	7	for	for	ADP
cord-186927-b8i85vo7	41	8	some	some	DET
cord-186927-b8i85vo7	41	9	sexually	sexually	ADV
cord-186927-b8i85vo7	41	10	transmitted	transmit	VERB
cord-186927-b8i85vo7	41	11	infections	infection	NOUN
cord-186927-b8i85vo7	41	12	,	,	PUNCT
cord-186927-b8i85vo7	41	13	or	or	CCONJ
cord-186927-b8i85vo7	41	14	bacterial	bacterial	ADJ
cord-186927-b8i85vo7	41	15	diseases	disease	NOUN
cord-186927-b8i85vo7	41	16	.	.	PUNCT
cord-186927-b8i85vo7	42	1	in	in	ADP
cord-186927-b8i85vo7	42	2	such	such	DET
cord-186927-b8i85vo7	42	3	a	a	DET
cord-186927-b8i85vo7	42	4	case	case	NOUN
cord-186927-b8i85vo7	42	5	,	,	PUNCT
cord-186927-b8i85vo7	42	6	infected	infect	VERB
cord-186927-b8i85vo7	42	7	people	people	NOUN
cord-186927-b8i85vo7	42	8	can	can	AUX
cord-186927-b8i85vo7	42	9	either	either	CCONJ
cord-186927-b8i85vo7	42	10	die	die	VERB
cord-186927-b8i85vo7	42	11	of	of	ADP
cord-186927-b8i85vo7	42	12	the	the	DET
cord-186927-b8i85vo7	42	13	infection	infection	NOUN
cord-186927-b8i85vo7	42	14	,	,	PUNCT
cord-186927-b8i85vo7	42	15	or	or	CCONJ
cord-186927-b8i85vo7	42	16	be	be	AUX
cord-186927-b8i85vo7	42	17	cured	cure	VERB
cord-186927-b8i85vo7	42	18	and	and	CCONJ
cord-186927-b8i85vo7	42	19	therefore	therefore	ADV
cord-186927-b8i85vo7	42	20	become	become	VERB
cord-186927-b8i85vo7	42	21	once	once	ADV
cord-186927-b8i85vo7	42	22	more	more	ADV
cord-186927-b8i85vo7	42	23	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	42	24	to	to	PART
cord-186927-b8i85vo7	42	25	contract	contract	VERB
cord-186927-b8i85vo7	42	26	the	the	DET
cord-186927-b8i85vo7	42	27	disease	disease	NOUN
cord-186927-b8i85vo7	42	28	.	.	PUNCT
cord-186927-b8i85vo7	43	1	such	such	ADJ
cord-186927-b8i85vo7	43	2	models	model	NOUN
cord-186927-b8i85vo7	43	3	have	have	AUX
cord-186927-b8i85vo7	43	4	been	be	AUX
cord-186927-b8i85vo7	43	5	coined	coin	VERB
cord-186927-b8i85vo7	43	6	sis	sis	NOUN
cord-186927-b8i85vo7	43	7	(	(	PUNCT
cord-186927-b8i85vo7	43	8	for	for	ADP
cord-186927-b8i85vo7	43	9	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	43	10	-	-	PUNCT
cord-186927-b8i85vo7	43	11	infected	infect	VERB
cord-186927-b8i85vo7	43	12	-	-	PUNCT
cord-186927-b8i85vo7	43	13	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	43	14	)	)	PUNCT
cord-186927-b8i85vo7	43	15	,	,	PUNCT
cord-186927-b8i85vo7	43	16	and	and	CCONJ
cord-186927-b8i85vo7	43	17	consider	consider	VERB
cord-186927-b8i85vo7	43	18	a	a	DET
cord-186927-b8i85vo7	43	19	population	population	NOUN
cord-186927-b8i85vo7	43	20	divided	divide	VERB
cord-186927-b8i85vo7	43	21	into	into	ADP
cord-186927-b8i85vo7	43	22	two	two	NUM
cord-186927-b8i85vo7	43	23	groups	group	NOUN
cord-186927-b8i85vo7	43	24	.	.	PUNCT
cord-186927-b8i85vo7	44	1	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	44	2	individuals	individual	NOUN
cord-186927-b8i85vo7	44	3	interact	interact	VERB
cord-186927-b8i85vo7	44	4	with	with	ADP
cord-186927-b8i85vo7	44	5	infected	infected	ADJ
cord-186927-b8i85vo7	44	6	ones	one	NOUN
cord-186927-b8i85vo7	44	7	,	,	PUNCT
cord-186927-b8i85vo7	44	8	and	and	CCONJ
cord-186927-b8i85vo7	44	9	therefore	therefore	ADV
cord-186927-b8i85vo7	44	10	move	move	VERB
cord-186927-b8i85vo7	44	11	from	from	ADP
cord-186927-b8i85vo7	44	12	one	one	NUM
cord-186927-b8i85vo7	44	13	class	class	NOUN
cord-186927-b8i85vo7	44	14	to	to	ADP
cord-186927-b8i85vo7	44	15	the	the	DET
cord-186927-b8i85vo7	44	16	other	other	ADJ
cord-186927-b8i85vo7	44	17	repeatedly	repeatedly	ADV
cord-186927-b8i85vo7	44	18	.	.	PUNCT
cord-186927-b8i85vo7	45	1	this	this	DET
cord-186927-b8i85vo7	45	2	model	model	NOUN
cord-186927-b8i85vo7	45	3	was	be	AUX
cord-186927-b8i85vo7	45	4	first	first	ADV
cord-186927-b8i85vo7	45	5	discussed	discuss	VERB
cord-186927-b8i85vo7	45	6	in	in	ADP
cord-186927-b8i85vo7	45	7	weiss	weiss	PROPN
cord-186927-b8i85vo7	45	8	and	and	CCONJ
cord-186927-b8i85vo7	45	9	dishon	dishon	PROPN
cord-186927-b8i85vo7	45	10	[	[	PUNCT
cord-186927-b8i85vo7	45	11	106	106	NUM
cord-186927-b8i85vo7	45	12	]	]	PUNCT
cord-186927-b8i85vo7	45	13	,	,	PUNCT
cord-186927-b8i85vo7	45	14	generalising	generalise	VERB
cord-186927-b8i85vo7	45	15	a	a	DET
cord-186927-b8i85vo7	45	16	simpler	simple	ADJ
cord-186927-b8i85vo7	45	17	version	version	NOUN
cord-186927-b8i85vo7	45	18	by	by	ADP
cord-186927-b8i85vo7	45	19	bailey	bailey	NOUN
cord-186927-b8i85vo7	46	1	[	[	PUNCT
cord-186927-b8i85vo7	46	2	11	11	NUM
cord-186927-b8i85vo7	46	3	]	]	PUNCT
cord-186927-b8i85vo7	46	4	,	,	PUNCT
cord-186927-b8i85vo7	46	5	where	where	SCONJ
cord-186927-b8i85vo7	46	6	it	it	PRON
cord-186927-b8i85vo7	46	7	was	be	AUX
cord-186927-b8i85vo7	46	8	linked	link	VERB
cord-186927-b8i85vo7	46	9	to	to	ADP
cord-186927-b8i85vo7	46	10	birth	birth	NOUN
cord-186927-b8i85vo7	46	11	and	and	CCONJ
cord-186927-b8i85vo7	46	12	death	death	NOUN
cord-186927-b8i85vo7	46	13	interacting	interacting	NOUN
cord-186927-b8i85vo7	46	14	processes	process	NOUN
cord-186927-b8i85vo7	46	15	.	.	PUNCT
cord-186927-b8i85vo7	47	1	it	it	PRON
cord-186927-b8i85vo7	47	2	was	be	AUX
cord-186927-b8i85vo7	47	3	then	then	ADV
cord-186927-b8i85vo7	47	4	further	far	ADV
cord-186927-b8i85vo7	47	5	studied	study	VERB
cord-186927-b8i85vo7	47	6	by	by	ADP
cord-186927-b8i85vo7	47	7	kryscio	kryscio	PROPN
cord-186927-b8i85vo7	47	8	and	and	CCONJ
cord-186927-b8i85vo7	47	9	lefèvre	lefèvre	NOUN
cord-186927-b8i85vo7	47	10	[	[	X
cord-186927-b8i85vo7	47	11	67	67	NUM
cord-186927-b8i85vo7	47	12	]	]	PUNCT
cord-186927-b8i85vo7	47	13	,	,	PUNCT
cord-186927-b8i85vo7	47	14	who	who	PRON
cord-186927-b8i85vo7	47	15	computed	compute	VERB
cord-186927-b8i85vo7	47	16	the	the	DET
cord-186927-b8i85vo7	47	17	mean	mean	ADJ
cord-186927-b8i85vo7	47	18	time	time	NOUN
cord-186927-b8i85vo7	47	19	of	of	ADP
cord-186927-b8i85vo7	47	20	extinction	extinction	NOUN
cord-186927-b8i85vo7	47	21	of	of	ADP
cord-186927-b8i85vo7	47	22	the	the	DET
cord-186927-b8i85vo7	47	23	infection	infection	NOUN
cord-186927-b8i85vo7	47	24	.	.	PUNCT
cord-186927-b8i85vo7	48	1	these	these	DET
cord-186927-b8i85vo7	48	2	discrete	discrete	ADJ
cord-186927-b8i85vo7	48	3	-	-	PUNCT
cord-186927-b8i85vo7	48	4	time	time	NOUN
cord-186927-b8i85vo7	48	5	models	model	NOUN
cord-186927-b8i85vo7	48	6	were	be	AUX
cord-186927-b8i85vo7	48	7	then	then	ADV
cord-186927-b8i85vo7	48	8	extended	extend	VERB
cord-186927-b8i85vo7	48	9	by	by	ADP
cord-186927-b8i85vo7	48	10	nåsell	nåsell	PROPN
cord-186927-b8i85vo7	48	11	[	[	X
cord-186927-b8i85vo7	48	12	78	78	NUM
cord-186927-b8i85vo7	48	13	;	;	PUNCT
cord-186927-b8i85vo7	48	14	79	79	NUM
cord-186927-b8i85vo7	48	15	]	]	PUNCT
cord-186927-b8i85vo7	48	16	,	,	PUNCT
cord-186927-b8i85vo7	48	17	who	who	PRON
cord-186927-b8i85vo7	48	18	found	find	VERB
cord-186927-b8i85vo7	48	19	the	the	DET
cord-186927-b8i85vo7	48	20	quasi	quasi	ADJ
cord-186927-b8i85vo7	48	21	-	-	ADJ
cord-186927-b8i85vo7	48	22	stationary	stationary	ADJ
cord-186927-b8i85vo7	48	23	distribution	distribution	NOUN
cord-186927-b8i85vo7	48	24	of	of	ADP
cord-186927-b8i85vo7	48	25	a	a	DET
cord-186927-b8i85vo7	48	26	continuous	continuous	ADJ
cord-186927-b8i85vo7	48	27	-	-	PUNCT
cord-186927-b8i85vo7	48	28	time	time	NOUN
cord-186927-b8i85vo7	48	29	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	48	30	sis	sis	NOUN
cord-186927-b8i85vo7	48	31	model	model	NOUN
cord-186927-b8i85vo7	48	32	with	with	ADP
cord-186927-b8i85vo7	48	33	no	no	DET
cord-186927-b8i85vo7	48	34	births	birth	NOUN
cord-186927-b8i85vo7	48	35	nor	nor	CCONJ
cord-186927-b8i85vo7	48	36	deaths	death	NOUN
cord-186927-b8i85vo7	48	37	.	.	PUNCT
cord-186927-b8i85vo7	49	1	more	more	ADV
cord-186927-b8i85vo7	49	2	recently	recently	ADV
cord-186927-b8i85vo7	49	3	,	,	PUNCT
cord-186927-b8i85vo7	49	4	gray	gray	ADJ
cord-186927-b8i85vo7	49	5	,	,	PUNCT
cord-186927-b8i85vo7	49	6	greenhalgh	greenhalgh	PROPN
cord-186927-b8i85vo7	49	7	,	,	PUNCT
cord-186927-b8i85vo7	49	8	hu	hu	PROPN
cord-186927-b8i85vo7	49	9	,	,	PUNCT
cord-186927-b8i85vo7	49	10	mao	mao	PROPN
cord-186927-b8i85vo7	49	11	,	,	PUNCT
cord-186927-b8i85vo7	49	12	and	and	CCONJ
cord-186927-b8i85vo7	49	13	pan	pan	VERB
cord-186927-b8i85vo7	49	14	[	[	X
cord-186927-b8i85vo7	49	15	47	47	NUM
cord-186927-b8i85vo7	49	16	]	]	PUNCT
cord-186927-b8i85vo7	49	17	proposed	propose	VERB
cord-186927-b8i85vo7	49	18	to	to	PART
cord-186927-b8i85vo7	49	19	model	model	VERB
cord-186927-b8i85vo7	49	20	a	a	DET
cord-186927-b8i85vo7	49	21	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	49	22	sis	sis	NOUN
cord-186927-b8i85vo7	49	23	process	process	NOUN
cord-186927-b8i85vo7	49	24	in	in	ADP
cord-186927-b8i85vo7	49	25	continuous	continuous	ADJ
cord-186927-b8i85vo7	49	26	-	-	PUNCT
cord-186927-b8i85vo7	49	27	time	time	NOUN
cord-186927-b8i85vo7	49	28	,	,	PUNCT
cord-186927-b8i85vo7	49	29	as	as	ADP
cord-186927-b8i85vo7	49	30	a	a	DET
cord-186927-b8i85vo7	49	31	solution	solution	NOUN
cord-186927-b8i85vo7	49	32	to	to	ADP
cord-186927-b8i85vo7	49	33	a	a	DET
cord-186927-b8i85vo7	49	34	bi	bi	ADJ
cord-186927-b8i85vo7	49	35	-	-	ADJ
cord-186927-b8i85vo7	49	36	dimensional	dimensional	ADJ
cord-186927-b8i85vo7	49	37	sde	sde	NOUN
cord-186927-b8i85vo7	49	38	driven	drive	VERB
cord-186927-b8i85vo7	49	39	by	by	ADP
cord-186927-b8i85vo7	49	40	a	a	DET
cord-186927-b8i85vo7	49	41	brownian	brownian	ADJ
cord-186927-b8i85vo7	49	42	motion	motion	NOUN
cord-186927-b8i85vo7	49	43	.	.	PUNCT
cord-186927-b8i85vo7	50	1	this	this	PRON
cord-186927-b8i85vo7	50	2	is	be	AUX
cord-186927-b8i85vo7	50	3	the	the	DET
cord-186927-b8i85vo7	50	4	model	model	NOUN
cord-186927-b8i85vo7	50	5	we	we	PRON
cord-186927-b8i85vo7	50	6	will	will	AUX
cord-186927-b8i85vo7	50	7	follow	follow	VERB
cord-186927-b8i85vo7	50	8	in	in	ADP
cord-186927-b8i85vo7	50	9	our	our	PRON
cord-186927-b8i85vo7	50	10	sis	sis	NOUN
cord-186927-b8i85vo7	50	11	framework	framework	NOUN
cord-186927-b8i85vo7	50	12	.	.	PUNCT
cord-186927-b8i85vo7	51	1	alternatively	alternatively	ADV
cord-186927-b8i85vo7	51	2	to	to	ADP
cord-186927-b8i85vo7	51	3	this	this	DET
cord-186927-b8i85vo7	51	4	quite	quite	ADV
cord-186927-b8i85vo7	51	5	pessimistic	pessimistic	ADJ
cord-186927-b8i85vo7	51	6	scenario	scenario	NOUN
cord-186927-b8i85vo7	51	7	,	,	PUNCT
cord-186927-b8i85vo7	51	8	one	one	PRON
cord-186927-b8i85vo7	51	9	can	can	AUX
cord-186927-b8i85vo7	51	10	also	also	ADV
cord-186927-b8i85vo7	51	11	assume	assume	VERB
cord-186927-b8i85vo7	51	12	that	that	SCONJ
cord-186927-b8i85vo7	51	13	an	an	DET
cord-186927-b8i85vo7	51	14	immunity	immunity	NOUN
cord-186927-b8i85vo7	51	15	will	will	AUX
cord-186927-b8i85vo7	51	16	appear	appear	VERB
cord-186927-b8i85vo7	51	17	after	after	ADP
cord-186927-b8i85vo7	51	18	infection	infection	NOUN
cord-186927-b8i85vo7	51	19	.	.	PUNCT
cord-186927-b8i85vo7	52	1	in	in	ADP
cord-186927-b8i85vo7	52	2	that	that	DET
cord-186927-b8i85vo7	52	3	case	case	NOUN
cord-186927-b8i85vo7	52	4	,	,	PUNCT
cord-186927-b8i85vo7	52	5	we	we	PRON
cord-186927-b8i85vo7	52	6	can	can	AUX
cord-186927-b8i85vo7	52	7	distinguish	distinguish	VERB
cord-186927-b8i85vo7	52	8	three	three	NUM
cord-186927-b8i85vo7	52	9	classes	class	NOUN
cord-186927-b8i85vo7	52	10	:	:	PUNCT
cord-186927-b8i85vo7	52	11	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	52	12	individuals	individual	NOUN
cord-186927-b8i85vo7	52	13	who	who	PRON
cord-186927-b8i85vo7	52	14	can	can	AUX
cord-186927-b8i85vo7	52	15	contract	contract	VERB
cord-186927-b8i85vo7	52	16	the	the	DET
cord-186927-b8i85vo7	52	17	disease	disease	NOUN
cord-186927-b8i85vo7	52	18	,	,	PUNCT
cord-186927-b8i85vo7	52	19	infected	infect	VERB
cord-186927-b8i85vo7	52	20	people	people	NOUN
cord-186927-b8i85vo7	52	21	who	who	PRON
cord-186927-b8i85vo7	52	22	are	be	AUX
cord-186927-b8i85vo7	52	23	currently	currently	ADV
cord-186927-b8i85vo7	52	24	infected	infect	VERB
cord-186927-b8i85vo7	52	25	by	by	ADP
cord-186927-b8i85vo7	52	26	the	the	DET
cord-186927-b8i85vo7	52	27	disease	disease	NOUN
cord-186927-b8i85vo7	52	28	,	,	PUNCT
cord-186927-b8i85vo7	52	29	and	and	CCONJ
cord-186927-b8i85vo7	52	30	recovered	recover	VERB
cord-186927-b8i85vo7	52	31	people	people	NOUN
cord-186927-b8i85vo7	52	32	who	who	PRON
cord-186927-b8i85vo7	52	33	have	have	AUX
cord-186927-b8i85vo7	52	34	been	be	AUX
cord-186927-b8i85vo7	52	35	cured	cure	VERB
cord-186927-b8i85vo7	52	36	and	and	CCONJ
cord-186927-b8i85vo7	52	37	developed	develop	VERB
cord-186927-b8i85vo7	52	38	antibodies	antibody	NOUN
cord-186927-b8i85vo7	52	39	.	.	PUNCT
cord-186927-b8i85vo7	53	1	introduced	introduce	VERB
cord-186927-b8i85vo7	53	2	originally	originally	ADV
cord-186927-b8i85vo7	53	3	by	by	ADP
cord-186927-b8i85vo7	53	4	kermack	kermack	PROPN
cord-186927-b8i85vo7	53	5	and	and	CCONJ
cord-186927-b8i85vo7	53	6	mckendrick	mckendrick	PROPN
cord-186927-b8i85vo7	54	1	[	[	PUNCT
cord-186927-b8i85vo7	54	2	64	64	NUM
cord-186927-b8i85vo7	54	3	]	]	PUNCT
cord-186927-b8i85vo7	54	4	,	,	PUNCT
cord-186927-b8i85vo7	54	5	this	this	DET
cord-186927-b8i85vo7	54	6	so	so	ADV
cord-186927-b8i85vo7	54	7	-	-	PUNCT
cord-186927-b8i85vo7	54	8	called	call	VERB
cord-186927-b8i85vo7	54	9	sir	sir	PROPN
cord-186927-b8i85vo7	54	10	model	model	NOUN
cord-186927-b8i85vo7	54	11	was	be	AUX
cord-186927-b8i85vo7	54	12	studied	study	VERB
cord-186927-b8i85vo7	54	13	in	in	ADP
cord-186927-b8i85vo7	54	14	depth	depth	NOUN
cord-186927-b8i85vo7	54	15	by	by	ADP
cord-186927-b8i85vo7	54	16	anderson	anderson	PROPN
cord-186927-b8i85vo7	54	17	and	and	CCONJ
cord-186927-b8i85vo7	54	18	may	may	AUX
cord-186927-b8i85vo7	54	19	[	[	X
cord-186927-b8i85vo7	54	20	8	8	NUM
cord-186927-b8i85vo7	54	21	]	]	PUNCT
cord-186927-b8i85vo7	54	22	in	in	ADP
cord-186927-b8i85vo7	54	23	a	a	DET
cord-186927-b8i85vo7	54	24	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	54	25	setting	setting	NOUN
cord-186927-b8i85vo7	54	26	,	,	PUNCT
cord-186927-b8i85vo7	54	27	while	while	SCONJ
cord-186927-b8i85vo7	54	28	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	54	29	perturbations	perturbation	NOUN
cord-186927-b8i85vo7	54	30	were	be	AUX
cord-186927-b8i85vo7	54	31	introduced	introduce	VERB
cord-186927-b8i85vo7	54	32	by	by	ADP
cord-186927-b8i85vo7	54	33	beretta	beretta	PROPN
cord-186927-b8i85vo7	54	34	,	,	PUNCT
cord-186927-b8i85vo7	54	35	kolmanovskii	kolmanovskii	PROPN
cord-186927-b8i85vo7	54	36	,	,	PUNCT
cord-186927-b8i85vo7	54	37	and	and	CCONJ
cord-186927-b8i85vo7	54	38	shaikhet	shaikhet	PROPN
cord-186927-b8i85vo7	55	1	[	[	X
cord-186927-b8i85vo7	55	2	16	16	NUM
cord-186927-b8i85vo7	55	3	]	]	PUNCT
cord-186927-b8i85vo7	55	4	.	.	PUNCT
cord-186927-b8i85vo7	56	1	modelling	model	VERB
cord-186927-b8i85vo7	56	2	a	a	DET
cord-186927-b8i85vo7	56	3	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	56	4	sir	sir	NOUN
cord-186927-b8i85vo7	56	5	process	process	NOUN
cord-186927-b8i85vo7	56	6	as	as	ADP
cord-186927-b8i85vo7	56	7	a	a	DET
cord-186927-b8i85vo7	56	8	solution	solution	NOUN
cord-186927-b8i85vo7	56	9	to	to	ADP
cord-186927-b8i85vo7	56	10	an	an	DET
cord-186927-b8i85vo7	56	11	sde	sde	NOUN
cord-186927-b8i85vo7	56	12	driven	drive	VERB
cord-186927-b8i85vo7	56	13	by	by	ADP
cord-186927-b8i85vo7	56	14	a	a	DET
cord-186927-b8i85vo7	56	15	brownian	brownian	ADJ
cord-186927-b8i85vo7	56	16	motion	motion	NOUN
cord-186927-b8i85vo7	56	17	was	be	AUX
cord-186927-b8i85vo7	56	18	then	then	ADV
cord-186927-b8i85vo7	56	19	proposed	propose	VERB
cord-186927-b8i85vo7	56	20	in	in	ADP
cord-186927-b8i85vo7	56	21	tornatore	tornatore	PROPN
cord-186927-b8i85vo7	56	22	,	,	PUNCT
cord-186927-b8i85vo7	56	23	buccellato	buccellato	PROPN
cord-186927-b8i85vo7	56	24	,	,	PUNCT
cord-186927-b8i85vo7	56	25	and	and	CCONJ
cord-186927-b8i85vo7	56	26	vetro	vetro	PROPN
cord-186927-b8i85vo7	56	27	[	[	X
cord-186927-b8i85vo7	56	28	103	103	NUM
cord-186927-b8i85vo7	56	29	]	]	PUNCT
cord-186927-b8i85vo7	56	30	,	,	PUNCT
cord-186927-b8i85vo7	56	31	and	and	CCONJ
cord-186927-b8i85vo7	56	32	jiang	jiang	PROPN
cord-186927-b8i85vo7	56	33	,	,	PUNCT
cord-186927-b8i85vo7	56	34	yu	yu	PROPN
cord-186927-b8i85vo7	56	35	,	,	PUNCT
cord-186927-b8i85vo7	56	36	ji	ji	PROPN
cord-186927-b8i85vo7	56	37	,	,	PUNCT
cord-186927-b8i85vo7	56	38	and	and	CCONJ
cord-186927-b8i85vo7	56	39	shi	shi	PROPN
cord-186927-b8i85vo7	57	1	[	[	PUNCT
cord-186927-b8i85vo7	57	2	59	59	NUM
cord-186927-b8i85vo7	57	3	]	]	PUNCT
cord-186927-b8i85vo7	57	4	.	.	PUNCT
cord-186927-b8i85vo7	58	1	this	this	PRON
cord-186927-b8i85vo7	58	2	will	will	AUX
cord-186927-b8i85vo7	58	3	be	be	AUX
cord-186927-b8i85vo7	58	4	our	our	PRON
cord-186927-b8i85vo7	58	5	model	model	NOUN
cord-186927-b8i85vo7	58	6	choice	choice	NOUN
cord-186927-b8i85vo7	58	7	in	in	ADP
cord-186927-b8i85vo7	58	8	this	this	DET
cord-186927-b8i85vo7	58	9	case	case	NOUN
cord-186927-b8i85vo7	58	10	.	.	PUNCT
cord-186927-b8i85vo7	59	1	for	for	ADP
cord-186927-b8i85vo7	59	2	a	a	DET
cord-186927-b8i85vo7	59	3	more	more	ADV
cord-186927-b8i85vo7	59	4	realistic	realistic	ADJ
cord-186927-b8i85vo7	59	5	modelling	modelling	NOUN
cord-186927-b8i85vo7	59	6	in	in	ADP
cord-186927-b8i85vo7	59	7	the	the	DET
cord-186927-b8i85vo7	59	8	case	case	NOUN
cord-186927-b8i85vo7	59	9	of	of	ADP
cord-186927-b8i85vo7	59	10	the	the	DET
cord-186927-b8i85vo7	59	11	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	59	12	disease	disease	NOUN
cord-186927-b8i85vo7	59	13	,	,	PUNCT
cord-186927-b8i85vo7	59	14	and	and	CCONJ
cord-186927-b8i85vo7	59	15	especially	especially	ADV
cord-186927-b8i85vo7	59	16	to	to	PART
cord-186927-b8i85vo7	59	17	account	account	VERB
cord-186927-b8i85vo7	59	18	for	for	ADP
cord-186927-b8i85vo7	59	19	the	the	DET
cord-186927-b8i85vo7	59	20	relatively	relatively	ADV
cord-186927-b8i85vo7	59	21	long	long	ADJ
cord-186927-b8i85vo7	59	22	latent	latent	ADJ
cord-186927-b8i85vo7	59	23	phase	phase	NOUN
cord-186927-b8i85vo7	59	24	of	of	ADP
cord-186927-b8i85vo7	59	25	this	this	DET
cord-186927-b8i85vo7	59	26	disease	disease	NOUN
cord-186927-b8i85vo7	59	27	,	,	PUNCT
cord-186927-b8i85vo7	59	28	one	one	PRON
cord-186927-b8i85vo7	59	29	could	could	AUX
cord-186927-b8i85vo7	59	30	also	also	ADV
cord-186927-b8i85vo7	59	31	assume	assume	VERB
cord-186927-b8i85vo7	59	32	that	that	SCONJ
cord-186927-b8i85vo7	59	33	once	once	SCONJ
cord-186927-b8i85vo7	59	34	a	a	DET
cord-186927-b8i85vo7	59	35	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	59	36	individual	individual	ADJ
cord-186927-b8i85vo7	59	37	contracts	contract	NOUN
cord-186927-b8i85vo7	59	38	the	the	DET
cord-186927-b8i85vo7	59	39	disease	disease	NOUN
cord-186927-b8i85vo7	59	40	,	,	PUNCT
cord-186927-b8i85vo7	59	41	he	he	PRON
cord-186927-b8i85vo7	59	42	does	do	AUX
cord-186927-b8i85vo7	59	43	not	not	PART
cord-186927-b8i85vo7	59	44	immediately	immediately	ADV
cord-186927-b8i85vo7	59	45	become	become	VERB
cord-186927-b8i85vo7	59	46	contagious	contagious	ADJ
cord-186927-b8i85vo7	59	47	.	.	PUNCT
cord-186927-b8i85vo7	60	1	this	this	PRON
cord-186927-b8i85vo7	60	2	led	lead	VERB
cord-186927-b8i85vo7	60	3	us	we	PRON
cord-186927-b8i85vo7	60	4	to	to	PART
cord-186927-b8i85vo7	60	5	provide	provide	VERB
cord-186927-b8i85vo7	60	6	some	some	DET
cord-186927-b8i85vo7	60	7	extensions	extension	NOUN
cord-186927-b8i85vo7	60	8	of	of	ADP
cord-186927-b8i85vo7	60	9	our	our	PRON
cord-186927-b8i85vo7	60	10	reasoning	reasoning	NOUN
cord-186927-b8i85vo7	60	11	,	,	PUNCT
cord-186927-b8i85vo7	60	12	in	in	ADP
cord-186927-b8i85vo7	60	13	particular	particular	ADJ
cord-186927-b8i85vo7	60	14	to	to	ADP
cord-186927-b8i85vo7	60	15	a	a	DET
cord-186927-b8i85vo7	60	16	seir	seir	ADJ
cord-186927-b8i85vo7	60	17	model	model	NOUN
cord-186927-b8i85vo7	60	18	,	,	PUNCT
cord-186927-b8i85vo7	60	19	used	use	VERB
cord-186927-b8i85vo7	60	20	by	by	ADP
cord-186927-b8i85vo7	60	21	bacaër	bacaër	PROPN
cord-186927-b8i85vo7	61	1	[	[	PUNCT
cord-186927-b8i85vo7	61	2	10	10	NUM
cord-186927-b8i85vo7	61	3	]	]	PUNCT
cord-186927-b8i85vo7	61	4	,	,	PUNCT
cord-186927-b8i85vo7	61	5	dolbeault	dolbeault	VERB
cord-186927-b8i85vo7	61	6	and	and	CCONJ
cord-186927-b8i85vo7	61	7	turinici	turinici	VERB
cord-186927-b8i85vo7	62	1	[	[	X
cord-186927-b8i85vo7	62	2	32	32	NUM
cord-186927-b8i85vo7	62	3	]	]	PUNCT
cord-186927-b8i85vo7	62	4	and	and	CCONJ
cord-186927-b8i85vo7	62	5	élie	élie	NOUN
cord-186927-b8i85vo7	62	6	,	,	PUNCT
cord-186927-b8i85vo7	62	7	hubert	hubert	PROPN
cord-186927-b8i85vo7	62	8	,	,	PUNCT
cord-186927-b8i85vo7	62	9	and	and	CCONJ
cord-186927-b8i85vo7	62	10	turinici	turinici	PROPN
cord-186927-b8i85vo7	63	1	[	[	X
cord-186927-b8i85vo7	63	2	38	38	NUM
cord-186927-b8i85vo7	63	3	]	]	PUNCT
cord-186927-b8i85vo7	63	4	to	to	PART
cord-186927-b8i85vo7	63	5	model	model	VERB
cord-186927-b8i85vo7	63	6	the	the	DET
cord-186927-b8i85vo7	63	7	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	63	8	disease	disease	NOUN
cord-186927-b8i85vo7	63	9	.	.	PUNCT
cord-186927-b8i85vo7	64	1	in	in	ADP
cord-186927-b8i85vo7	64	2	this	this	DET
cord-186927-b8i85vo7	64	3	type	type	NOUN
cord-186927-b8i85vo7	64	4	of	of	ADP
cord-186927-b8i85vo7	64	5	models	model	NOUN
cord-186927-b8i85vo7	64	6	,	,	PUNCT
cord-186927-b8i85vo7	64	7	an	an	DET
cord-186927-b8i85vo7	64	8	intermediary	intermediary	ADJ
cord-186927-b8i85vo7	64	9	class	class	NOUN
cord-186927-b8i85vo7	64	10	between	between	ADP
cord-186927-b8i85vo7	64	11	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	64	12	and	and	CCONJ
cord-186927-b8i85vo7	64	13	infected	infected	ADJ
cord-186927-b8i85vo7	64	14	is	be	AUX
cord-186927-b8i85vo7	64	15	introduced	introduce	VERB
cord-186927-b8i85vo7	64	16	,	,	PUNCT
cord-186927-b8i85vo7	64	17	usually	usually	ADV
cord-186927-b8i85vo7	64	18	referred	refer	VERB
cord-186927-b8i85vo7	64	19	to	to	ADP
cord-186927-b8i85vo7	64	20	as	as	ADP
cord-186927-b8i85vo7	64	21	the	the	DET
cord-186927-b8i85vo7	64	22	class	class	NOUN
cord-186927-b8i85vo7	64	23	of	of	ADP
cord-186927-b8i85vo7	64	24	exposed	expose	VERB
cord-186927-b8i85vo7	64	25	individuals	individual	NOUN
cord-186927-b8i85vo7	64	26	.	.	PUNCT
cord-186927-b8i85vo7	65	1	this	this	DET
cord-186927-b8i85vo7	65	2	class	class	NOUN
cord-186927-b8i85vo7	65	3	allows	allow	VERB
cord-186927-b8i85vo7	65	4	to	to	PART
cord-186927-b8i85vo7	65	5	model	model	VERB
cord-186927-b8i85vo7	65	6	individual	individual	PROPN
cord-186927-b8i85vo7	65	7	infected	infect	VERB
cord-186927-b8i85vo7	65	8	but	but	CCONJ
cord-186927-b8i85vo7	65	9	not	not	PART
cord-186927-b8i85vo7	65	10	yet	yet	ADV
cord-186927-b8i85vo7	65	11	infectious	infectious	ADJ
cord-186927-b8i85vo7	65	12	.	.	PUNCT
cord-186927-b8i85vo7	66	1	similarly	similarly	ADV
cord-186927-b8i85vo7	66	2	as	as	ADP
cord-186927-b8i85vo7	66	3	for	for	ADP
cord-186927-b8i85vo7	66	4	the	the	DET
cord-186927-b8i85vo7	66	5	sir	sir	NOUN
cord-186927-b8i85vo7	66	6	/	/	SYM
cord-186927-b8i85vo7	66	7	sis	sis	PROPN
cord-186927-b8i85vo7	66	8	models	model	NOUN
cord-186927-b8i85vo7	66	9	,	,	PUNCT
cord-186927-b8i85vo7	66	10	another	another	DET
cord-186927-b8i85vo7	66	11	variation	variation	NOUN
cord-186927-b8i85vo7	66	12	on	on	ADP
cord-186927-b8i85vo7	66	13	this	this	DET
cord-186927-b8i85vo7	66	14	model	model	NOUN
cord-186927-b8i85vo7	66	15	considers	consider	VERB
cord-186927-b8i85vo7	66	16	that	that	SCONJ
cord-186927-b8i85vo7	66	17	there	there	PRON
cord-186927-b8i85vo7	66	18	is	be	VERB
cord-186927-b8i85vo7	66	19	only	only	ADV
cord-186927-b8i85vo7	66	20	a	a	DET
cord-186927-b8i85vo7	66	21	partial	partial	ADJ
cord-186927-b8i85vo7	66	22	immunity	immunity	NOUN
cord-186927-b8i85vo7	66	23	,	,	PUNCT
cord-186927-b8i85vo7	66	24	and	and	CCONJ
cord-186927-b8i85vo7	66	25	individuals	individual	NOUN
cord-186927-b8i85vo7	66	26	having	having	AUX
cord-186927-b8i85vo7	66	27	recovered	recover	VERB
cord-186927-b8i85vo7	66	28	may	may	AUX
cord-186927-b8i85vo7	66	29	revert	revert	VERB
cord-186927-b8i85vo7	66	30	to	to	ADP
cord-186927-b8i85vo7	66	31	the	the	DET
cord-186927-b8i85vo7	66	32	class	class	NOUN
cord-186927-b8i85vo7	66	33	of	of	ADP
cord-186927-b8i85vo7	66	34	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	66	35	:	:	PUNCT
cord-186927-b8i85vo7	66	36	in	in	ADP
cord-186927-b8i85vo7	66	37	this	this	DET
cord-186927-b8i85vo7	66	38	case	case	NOUN
cord-186927-b8i85vo7	66	39	,	,	PUNCT
cord-186927-b8i85vo7	66	40	the	the	DET
cord-186927-b8i85vo7	66	41	model	model	NOUN
cord-186927-b8i85vo7	66	42	is	be	AUX
cord-186927-b8i85vo7	66	43	usually	usually	ADV
cord-186927-b8i85vo7	66	44	coined	coin	VERB
cord-186927-b8i85vo7	66	45	seirs	seir	NOUN
cord-186927-b8i85vo7	66	46	.	.	PUNCT
cord-186927-b8i85vo7	67	1	in	in	ADP
cord-186927-b8i85vo7	67	2	our	our	PRON
cord-186927-b8i85vo7	67	3	framework	framework	NOUN
cord-186927-b8i85vo7	67	4	we	we	PRON
cord-186927-b8i85vo7	67	5	need	need	VERB
cord-186927-b8i85vo7	67	6	to	to	PART
cord-186927-b8i85vo7	67	7	consider	consider	VERB
cord-186927-b8i85vo7	67	8	continuous	continuous	ADJ
cord-186927-b8i85vo7	67	9	-	-	PUNCT
cord-186927-b8i85vo7	67	10	time	time	NOUN
cord-186927-b8i85vo7	67	11	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	67	12	version	version	NOUN
cord-186927-b8i85vo7	67	13	of	of	ADP
cord-186927-b8i85vo7	67	14	these	these	DET
cord-186927-b8i85vo7	67	15	models	model	NOUN
cord-186927-b8i85vo7	67	16	,	,	PUNCT
cord-186927-b8i85vo7	67	17	and	and	CCONJ
cord-186927-b8i85vo7	67	18	will	will	AUX
cord-186927-b8i85vo7	67	19	therefore	therefore	ADV
cord-186927-b8i85vo7	67	20	use	use	VERB
cord-186927-b8i85vo7	67	21	the	the	DET
cord-186927-b8i85vo7	67	22	ones	one	NOUN
cord-186927-b8i85vo7	67	23	introduced	introduce	VERB
cord-186927-b8i85vo7	67	24	in	in	ADP
cord-186927-b8i85vo7	67	25	mummert	mummert	NOUN
cord-186927-b8i85vo7	67	26	and	and	CCONJ
cord-186927-b8i85vo7	67	27	otunuga	otunuga	ADJ
cord-186927-b8i85vo7	67	28	[	[	X
cord-186927-b8i85vo7	67	29	77	77	NUM
cord-186927-b8i85vo7	67	30	]	]	PUNCT
cord-186927-b8i85vo7	67	31	.	.	PUNCT
cord-186927-b8i85vo7	68	1	the	the	DET
cord-186927-b8i85vo7	68	2	question	question	NOUN
cord-186927-b8i85vo7	68	3	of	of	ADP
cord-186927-b8i85vo7	68	4	the	the	DET
cord-186927-b8i85vo7	68	5	model	model	NOUN
cord-186927-b8i85vo7	68	6	being	be	AUX
cord-186927-b8i85vo7	68	7	now	now	ADV
cord-186927-b8i85vo7	68	8	settled	settle	VERB
cord-186927-b8i85vo7	68	9	,	,	PUNCT
cord-186927-b8i85vo7	68	10	we	we	PRON
cord-186927-b8i85vo7	68	11	can	can	AUX
cord-186927-b8i85vo7	68	12	focus	focus	VERB
cord-186927-b8i85vo7	68	13	more	more	ADV
cord-186927-b8i85vo7	68	14	on	on	ADP
cord-186927-b8i85vo7	68	15	the	the	DET
cord-186927-b8i85vo7	68	16	second	second	ADJ
cord-186927-b8i85vo7	68	17	question	question	NOUN
cord-186927-b8i85vo7	68	18	raised	raise	VERB
cord-186927-b8i85vo7	68	19	above	above	ADV
cord-186927-b8i85vo7	68	20	,	,	PUNCT
cord-186927-b8i85vo7	68	21	which	which	PRON
cord-186927-b8i85vo7	68	22	is	be	AUX
cord-186927-b8i85vo7	68	23	linked	link	VERB
cord-186927-b8i85vo7	68	24	to	to	ADP
cord-186927-b8i85vo7	68	25	the	the	DET
cord-186927-b8i85vo7	68	26	spread	spread	NOUN
cord-186927-b8i85vo7	68	27	of	of	ADP
cord-186927-b8i85vo7	68	28	the	the	DET
cord-186927-b8i85vo7	68	29	disease	disease	NOUN
cord-186927-b8i85vo7	68	30	through	through	ADP
cord-186927-b8i85vo7	68	31	interactions	interaction	NOUN
cord-186927-b8i85vo7	68	32	within	within	ADP
cord-186927-b8i85vo7	68	33	the	the	DET
cord-186927-b8i85vo7	68	34	population	population	NOUN
cord-186927-b8i85vo7	68	35	.	.	PUNCT
cord-186927-b8i85vo7	69	1	in	in	ADP
cord-186927-b8i85vo7	69	2	classical	classical	ADJ
cord-186927-b8i85vo7	69	3	sis	sis	NOUN
cord-186927-b8i85vo7	69	4	/	/	SYM
cord-186927-b8i85vo7	69	5	sir	sir	NOUN
cord-186927-b8i85vo7	69	6	models	model	NOUN
cord-186927-b8i85vo7	69	7	,	,	PUNCT
cord-186927-b8i85vo7	69	8	the	the	DET
cord-186927-b8i85vo7	69	9	infection	infection	NOUN
cord-186927-b8i85vo7	69	10	grows	grow	VERB
cord-186927-b8i85vo7	69	11	into	into	ADP
cord-186927-b8i85vo7	69	12	the	the	DET
cord-186927-b8i85vo7	69	13	population	population	NOUN
cord-186927-b8i85vo7	69	14	through	through	ADP
cord-186927-b8i85vo7	69	15	an	an	DET
cord-186927-b8i85vo7	69	16	incidence	incidence	NOUN
cord-186927-b8i85vo7	69	17	rate	rate	NOUN
cord-186927-b8i85vo7	69	18	β	β	NUM
cord-186927-b8i85vo7	69	19	,	,	PUNCT
cord-186927-b8i85vo7	69	20	and	and	CCONJ
cord-186927-b8i85vo7	69	21	proportionally	proportionally	ADV
cord-186927-b8i85vo7	69	22	to	to	ADP
cord-186927-b8i85vo7	69	23	the	the	DET
cord-186927-b8i85vo7	69	24	product	product	NOUN
cord-186927-b8i85vo7	69	25	of	of	ADP
cord-186927-b8i85vo7	69	26	the	the	DET
cord-186927-b8i85vo7	69	27	number	number	NOUN
cord-186927-b8i85vo7	69	28	of	of	ADP
cord-186927-b8i85vo7	69	29	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	69	30	and	and	CCONJ
cord-186927-b8i85vo7	69	31	infected	infected	ADJ
cord-186927-b8i85vo7	69	32	individuals	individual	NOUN
cord-186927-b8i85vo7	69	33	.	.	PUNCT
cord-186927-b8i85vo7	70	1	in	in	ADP
cord-186927-b8i85vo7	70	2	the	the	DET
cord-186927-b8i85vo7	70	3	absence	absence	NOUN
cord-186927-b8i85vo7	70	4	of	of	ADP
cord-186927-b8i85vo7	70	5	a	a	DET
cord-186927-b8i85vo7	70	6	cure	cure	NOUN
cord-186927-b8i85vo7	70	7	or	or	CCONJ
cord-186927-b8i85vo7	70	8	a	a	DET
cord-186927-b8i85vo7	70	9	vaccine	vaccine	NOUN
cord-186927-b8i85vo7	70	10	,	,	PUNCT
cord-186927-b8i85vo7	70	11	this	this	DET
cord-186927-b8i85vo7	70	12	transmission	transmission	NOUN
cord-186927-b8i85vo7	70	13	rate	rate	NOUN
cord-186927-b8i85vo7	70	14	appears	appear	VERB
cord-186927-b8i85vo7	70	15	therefore	therefore	ADV
cord-186927-b8i85vo7	70	16	as	as	ADP
cord-186927-b8i85vo7	70	17	the	the	DET
cord-186927-b8i85vo7	70	18	only	only	ADJ
cord-186927-b8i85vo7	70	19	control	control	NOUN
cord-186927-b8i85vo7	70	20	variable	variable	NOUN
cord-186927-b8i85vo7	70	21	of	of	ADP
cord-186927-b8i85vo7	70	22	individual	individual	ADJ
cord-186927-b8i85vo7	70	23	or	or	CCONJ
cord-186927-b8i85vo7	70	24	public	public	ADJ
cord-186927-b8i85vo7	70	25	institutions	institution	NOUN
cord-186927-b8i85vo7	70	26	,	,	PUNCT
cord-186927-b8i85vo7	70	27	in	in	ADP
cord-186927-b8i85vo7	70	28	order	order	NOUN
cord-186927-b8i85vo7	70	29	to	to	PART
cord-186927-b8i85vo7	70	30	reduce	reduce	VERB
cord-186927-b8i85vo7	70	31	the	the	DET
cord-186927-b8i85vo7	70	32	spread	spread	NOUN
cord-186927-b8i85vo7	70	33	of	of	ADP
cord-186927-b8i85vo7	70	34	an	an	DET
cord-186927-b8i85vo7	70	35	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	70	36	.	.	PUNCT
cord-186927-b8i85vo7	71	1	our	our	PRON
cord-186927-b8i85vo7	71	2	take	take	VERB
cord-186927-b8i85vo7	71	3	on	on	ADP
cord-186927-b8i85vo7	71	4	the	the	DET
cord-186927-b8i85vo7	71	5	second	second	ADJ
cord-186927-b8i85vo7	71	6	question	question	NOUN
cord-186927-b8i85vo7	71	7	will	will	AUX
cord-186927-b8i85vo7	71	8	therefore	therefore	ADV
cord-186927-b8i85vo7	71	9	be	be	AUX
cord-186927-b8i85vo7	71	10	from	from	ADP
cord-186927-b8i85vo7	71	11	a	a	DET
cord-186927-b8i85vo7	71	12	control	control	NOUN
cord-186927-b8i85vo7	71	13	-	-	PUNCT
cord-186927-b8i85vo7	71	14	theoretic	theoretic	ADJ
cord-186927-b8i85vo7	71	15	perspective	perspective	NOUN
cord-186927-b8i85vo7	71	16	.	.	PUNCT
cord-186927-b8i85vo7	72	1	at	at	ADP
cord-186927-b8i85vo7	72	2	the	the	DET
cord-186927-b8i85vo7	72	3	heart	heart	NOUN
cord-186927-b8i85vo7	72	4	of	of	ADP
cord-186927-b8i85vo7	72	5	this	this	DET
cord-186927-b8i85vo7	72	6	approach	approach	NOUN
cord-186927-b8i85vo7	72	7	is	be	AUX
cord-186927-b8i85vo7	72	8	the	the	DET
cord-186927-b8i85vo7	72	9	simple	simple	ADJ
cord-186927-b8i85vo7	72	10	idea	idea	NOUN
cord-186927-b8i85vo7	72	11	that	that	SCONJ
cord-186927-b8i85vo7	72	12	when	when	SCONJ
cord-186927-b8i85vo7	72	13	faced	face	VERB
cord-186927-b8i85vo7	72	14	with	with	ADP
cord-186927-b8i85vo7	72	15	an	an	DET
cord-186927-b8i85vo7	72	16	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	72	17	,	,	PUNCT
cord-186927-b8i85vo7	72	18	a	a	DET
cord-186927-b8i85vo7	72	19	perfectly	perfectly	ADV
cord-186927-b8i85vo7	72	20	rational	rational	ADJ
cord-186927-b8i85vo7	72	21	population	population	NOUN
cord-186927-b8i85vo7	72	22	will	will	AUX
cord-186927-b8i85vo7	72	23	try	try	VERB
cord-186927-b8i85vo7	72	24	to	to	PART
cord-186927-b8i85vo7	72	25	find	find	VERB
cord-186927-b8i85vo7	72	26	an	an	DET
cord-186927-b8i85vo7	72	27	equilibrium	equilibrium	NOUN
cord-186927-b8i85vo7	72	28	interaction	interaction	NOUN
cord-186927-b8i85vo7	72	29	rate	rate	NOUN
cord-186927-b8i85vo7	72	30	,	,	PUNCT
cord-186927-b8i85vo7	72	31	balancing	balance	VERB
cord-186927-b8i85vo7	72	32	the	the	DET
cord-186927-b8i85vo7	72	33	need	need	NOUN
cord-186927-b8i85vo7	72	34	to	to	PART
cord-186927-b8i85vo7	72	35	still	still	ADV
cord-186927-b8i85vo7	72	36	connect	connect	VERB
cord-186927-b8i85vo7	72	37	with	with	ADP
cord-186927-b8i85vo7	72	38	others	other	NOUN
cord-186927-b8i85vo7	72	39	,	,	PUNCT
cord-186927-b8i85vo7	72	40	and	and	CCONJ
cord-186927-b8i85vo7	72	41	the	the	DET
cord-186927-b8i85vo7	72	42	natural	natural	ADJ
cord-186927-b8i85vo7	72	43	fear	fear	NOUN
cord-186927-b8i85vo7	72	44	of	of	ADP
cord-186927-b8i85vo7	72	45	spreading	spread	VERB
cord-186927-b8i85vo7	72	46	the	the	DET
cord-186927-b8i85vo7	72	47	infection	infection	NOUN
cord-186927-b8i85vo7	72	48	itself	itself	PRON
cord-186927-b8i85vo7	72	49	.	.	PUNCT
cord-186927-b8i85vo7	73	1	this	this	PRON
cord-186927-b8i85vo7	73	2	is	be	AUX
cord-186927-b8i85vo7	73	3	by	by	ADP
cord-186927-b8i85vo7	73	4	no	no	DET
cord-186927-b8i85vo7	73	5	means	mean	NOUN
cord-186927-b8i85vo7	73	6	a	a	DET
cord-186927-b8i85vo7	73	7	new	new	ADJ
cord-186927-b8i85vo7	73	8	point	point	NOUN
cord-186927-b8i85vo7	73	9	of	of	ADP
cord-186927-b8i85vo7	73	10	view	view	NOUN
cord-186927-b8i85vo7	73	11	,	,	PUNCT
cord-186927-b8i85vo7	73	12	and	and	CCONJ
cord-186927-b8i85vo7	73	13	papers	paper	NOUN
cord-186927-b8i85vo7	73	14	discussing	discuss	VERB
cord-186927-b8i85vo7	73	15	the	the	DET
cord-186927-b8i85vo7	73	16	use	use	NOUN
cord-186927-b8i85vo7	73	17	of	of	ADP
cord-186927-b8i85vo7	73	18	formal	formal	ADJ
cord-186927-b8i85vo7	73	19	control	control	NOUN
cord-186927-b8i85vo7	73	20	theory	theory	NOUN
cord-186927-b8i85vo7	73	21	in	in	ADP
cord-186927-b8i85vo7	73	22	epidemiology	epidemiology	NOUN
cord-186927-b8i85vo7	73	23	can	can	AUX
cord-186927-b8i85vo7	73	24	be	be	AUX
cord-186927-b8i85vo7	73	25	dated	date	VERB
cord-186927-b8i85vo7	73	26	back	back	ADV
cord-186927-b8i85vo7	73	27	to	to	ADP
cord-186927-b8i85vo7	73	28	the	the	DET
cord-186927-b8i85vo7	73	29	70s	70	NOUN
cord-186927-b8i85vo7	73	30	,	,	PUNCT
cord-186927-b8i85vo7	73	31	see	see	VERB
cord-186927-b8i85vo7	73	32	among	among	ADP
cord-186927-b8i85vo7	73	33	others	other	NOUN
cord-186927-b8i85vo7	73	34	taylor	taylor	PROPN
cord-186927-b8i85vo7	74	1	[	[	PUNCT
cord-186927-b8i85vo7	74	2	100	100	NUM
cord-186927-b8i85vo7	74	3	]	]	PUNCT
cord-186927-b8i85vo7	74	4	,	,	PUNCT
cord-186927-b8i85vo7	74	5	jaquette	jaquette	PROPN
cord-186927-b8i85vo7	74	6	[	[	PUNCT
cord-186927-b8i85vo7	74	7	58	58	NUM
cord-186927-b8i85vo7	74	8	]	]	PUNCT
cord-186927-b8i85vo7	74	9	,	,	PUNCT
cord-186927-b8i85vo7	74	10	sanders	sander	NOUN
cord-186927-b8i85vo7	74	11	[	[	X
cord-186927-b8i85vo7	74	12	92	92	NUM
cord-186927-b8i85vo7	74	13	]	]	PUNCT
cord-186927-b8i85vo7	74	14	,	,	PUNCT
cord-186927-b8i85vo7	74	15	gupta	gupta	NOUN
cord-186927-b8i85vo7	74	16	and	and	CCONJ
cord-186927-b8i85vo7	74	17	rink	rink	NOUN
cord-186927-b8i85vo7	75	1	[	[	X
cord-186927-b8i85vo7	75	2	50	50	NUM
cord-186927-b8i85vo7	75	3	;	;	PUNCT
cord-186927-b8i85vo7	75	4	51	51	NUM
cord-186927-b8i85vo7	75	5	]	]	PUNCT
cord-186927-b8i85vo7	75	6	,	,	PUNCT
cord-186927-b8i85vo7	75	7	abakuks	abakuks	PROPN
cord-186927-b8i85vo7	75	8	[	[	X
cord-186927-b8i85vo7	75	9	1	1	NUM
cord-186927-b8i85vo7	75	10	]	]	PUNCT
cord-186927-b8i85vo7	75	11	,	,	PUNCT
cord-186927-b8i85vo7	75	12	morton	morton	PROPN
cord-186927-b8i85vo7	75	13	and	and	CCONJ
cord-186927-b8i85vo7	75	14	wickwire	wickwire	NOUN
cord-186927-b8i85vo7	75	15	[	[	X
cord-186927-b8i85vo7	75	16	76	76	NUM
cord-186927-b8i85vo7	75	17	]	]	PUNCT
cord-186927-b8i85vo7	75	18	,	,	PUNCT
cord-186927-b8i85vo7	75	19	wickwire	wickwire	NOUN
cord-186927-b8i85vo7	75	20	[	[	X
cord-186927-b8i85vo7	75	21	107	107	NUM
cord-186927-b8i85vo7	75	22	]	]	PUNCT
cord-186927-b8i85vo7	75	23	,	,	PUNCT
cord-186927-b8i85vo7	75	24	or	or	CCONJ
cord-186927-b8i85vo7	75	25	sethi	sethi	NOUN
cord-186927-b8i85vo7	75	26	and	and	CCONJ
cord-186927-b8i85vo7	75	27	staats	staat	NOUN
cord-186927-b8i85vo7	75	28	[	[	X
cord-186927-b8i85vo7	75	29	97	97	NUM
cord-186927-b8i85vo7	75	30	]	]	PUNCT
cord-186927-b8i85vo7	75	31	.	.	PUNCT
cord-186927-b8i85vo7	76	1	more	more	ADV
cord-186927-b8i85vo7	76	2	recently	recently	ADV
cord-186927-b8i85vo7	76	3	and	and	CCONJ
cord-186927-b8i85vo7	76	4	closer	close	ADJ
cord-186927-b8i85vo7	76	5	to	to	ADP
cord-186927-b8i85vo7	76	6	our	our	PRON
cord-186927-b8i85vo7	76	7	purpose	purpose	NOUN
cord-186927-b8i85vo7	76	8	,	,	PUNCT
cord-186927-b8i85vo7	76	9	we	we	PRON
cord-186927-b8i85vo7	76	10	can	can	AUX
cord-186927-b8i85vo7	76	11	also	also	ADV
cord-186927-b8i85vo7	76	12	refer	refer	VERB
cord-186927-b8i85vo7	76	13	to	to	PART
cord-186927-b8i85vo7	76	14	behncke	behncke	VERB
cord-186927-b8i85vo7	76	15	[	[	SYM
cord-186927-b8i85vo7	76	16	15	15	NUM
cord-186927-b8i85vo7	76	17	]	]	PUNCT
cord-186927-b8i85vo7	76	18	,	,	PUNCT
cord-186927-b8i85vo7	76	19	riley	riley	PROPN
cord-186927-b8i85vo7	76	20	et	et	PROPN
cord-186927-b8i85vo7	76	21	al	al	PROPN
cord-186927-b8i85vo7	76	22	.	.	PUNCT
cord-186927-b8i85vo7	77	1	[	[	X
cord-186927-b8i85vo7	77	2	87	87	NUM
cord-186927-b8i85vo7	77	3	]	]	PUNCT
cord-186927-b8i85vo7	77	4	,	,	PUNCT
cord-186927-b8i85vo7	77	5	who	who	PRON
cord-186927-b8i85vo7	77	6	studied	study	VERB
cord-186927-b8i85vo7	77	7	the	the	DET
cord-186927-b8i85vo7	77	8	impact	impact	NOUN
cord-186927-b8i85vo7	77	9	of	of	ADP
cord-186927-b8i85vo7	77	10	the	the	DET
cord-186927-b8i85vo7	77	11	control	control	NOUN
cord-186927-b8i85vo7	77	12	of	of	ADP
cord-186927-b8i85vo7	77	13	transmission	transmission	NOUN
cord-186927-b8i85vo7	77	14	rate	rate	NOUN
cord-186927-b8i85vo7	77	15	on	on	ADP
cord-186927-b8i85vo7	77	16	the	the	DET
cord-186927-b8i85vo7	77	17	2002	2002	NUM
cord-186927-b8i85vo7	77	18	-	-	SYM
cord-186927-b8i85vo7	77	19	2004	2004	NUM
cord-186927-b8i85vo7	77	20	sars	sar	NOUN
cord-186927-b8i85vo7	77	21	outbreak	outbreak	NOUN
cord-186927-b8i85vo7	77	22	in	in	ADP
cord-186927-b8i85vo7	77	23	hong	hong	PROPN
cord-186927-b8i85vo7	77	24	kong	kong	PROPN
cord-186927-b8i85vo7	77	25	and	and	CCONJ
cord-186927-b8i85vo7	77	26	on	on	ADP
cord-186927-b8i85vo7	77	27	the	the	DET
cord-186927-b8i85vo7	77	28	ways	way	NOUN
cord-186927-b8i85vo7	77	29	to	to	PART
cord-186927-b8i85vo7	77	30	interfere	interfere	VERB
cord-186927-b8i85vo7	77	31	with	with	ADP
cord-186927-b8i85vo7	77	32	the	the	DET
cord-186927-b8i85vo7	77	33	disease	disease	NOUN
cord-186927-b8i85vo7	77	34	spreading	spread	VERB
cord-186927-b8i85vo7	77	35	,	,	PUNCT
cord-186927-b8i85vo7	77	36	piunovskiy	piunovskiy	NOUN
cord-186927-b8i85vo7	77	37	and	and	CCONJ
cord-186927-b8i85vo7	77	38	clancy	clancy	NOUN
cord-186927-b8i85vo7	77	39	[	[	PUNCT
cord-186927-b8i85vo7	77	40	84	84	NUM
cord-186927-b8i85vo7	77	41	]	]	PUNCT
cord-186927-b8i85vo7	77	42	,	,	PUNCT
cord-186927-b8i85vo7	77	43	hansen	hansen	PROPN
cord-186927-b8i85vo7	77	44	and	and	CCONJ
cord-186927-b8i85vo7	77	45	day	day	NOUN
cord-186927-b8i85vo7	77	46	[	[	PUNCT
cord-186927-b8i85vo7	77	47	53	53	NUM
cord-186927-b8i85vo7	77	48	]	]	PUNCT
cord-186927-b8i85vo7	77	49	,	,	PUNCT
cord-186927-b8i85vo7	77	50	fenichel	fenichel	PROPN
cord-186927-b8i85vo7	77	51	et	et	PROPN
cord-186927-b8i85vo7	77	52	al	al	PROPN
cord-186927-b8i85vo7	77	53	.	.	PUNCT
cord-186927-b8i85vo7	78	1	[	[	X
cord-186927-b8i85vo7	78	2	39	39	NUM
cord-186927-b8i85vo7	78	3	]	]	PUNCT
cord-186927-b8i85vo7	78	4	,	,	PUNCT
cord-186927-b8i85vo7	78	5	kandhway	kandhway	PROPN
cord-186927-b8i85vo7	78	6	and	and	CCONJ
cord-186927-b8i85vo7	78	7	kuri	kuri	PROPN
cord-186927-b8i85vo7	79	1	[	[	PUNCT
cord-186927-b8i85vo7	79	2	61	61	NUM
cord-186927-b8i85vo7	79	3	]	]	PUNCT
cord-186927-b8i85vo7	79	4	,	,	PUNCT
cord-186927-b8i85vo7	79	5	sélley	sélley	PROPN
cord-186927-b8i85vo7	79	6	,	,	PUNCT
cord-186927-b8i85vo7	79	7	besenyei	besenyei	ADJ
cord-186927-b8i85vo7	79	8	,	,	PUNCT
cord-186927-b8i85vo7	79	9	kiss	kiss	NOUN
cord-186927-b8i85vo7	79	10	,	,	PUNCT
cord-186927-b8i85vo7	79	11	and	and	CCONJ
cord-186927-b8i85vo7	79	12	simon	simon	PROPN
cord-186927-b8i85vo7	80	1	[	[	PUNCT
cord-186927-b8i85vo7	80	2	96	96	NUM
cord-186927-b8i85vo7	80	3	]	]	PUNCT
cord-186927-b8i85vo7	80	4	,	,	PUNCT
cord-186927-b8i85vo7	80	5	and	and	CCONJ
cord-186927-b8i85vo7	80	6	more	more	ADV
cord-186927-b8i85vo7	80	7	broadly	broadly	ADV
cord-186927-b8i85vo7	80	8	to	to	ADP
cord-186927-b8i85vo7	80	9	the	the	DET
cord-186927-b8i85vo7	80	10	monograph	monograph	NOUN
cord-186927-b8i85vo7	80	11	by	by	ADP
cord-186927-b8i85vo7	80	12	lenhart	lenhart	PROPN
cord-186927-b8i85vo7	80	13	and	and	CCONJ
cord-186927-b8i85vo7	80	14	workman	workman	NOUN
cord-186927-b8i85vo7	80	15	[	[	PUNCT
cord-186927-b8i85vo7	80	16	69	69	NUM
cord-186927-b8i85vo7	80	17	]	]	PUNCT
cord-186927-b8i85vo7	80	18	.	.	PUNCT
cord-186927-b8i85vo7	81	1	an	an	DET
cord-186927-b8i85vo7	81	2	important	important	ADJ
cord-186927-b8i85vo7	81	3	,	,	PUNCT
cord-186927-b8i85vo7	81	4	and	and	CCONJ
cord-186927-b8i85vo7	81	5	slightly	slightly	ADV
cord-186927-b8i85vo7	81	6	unrealistic	unrealistic	ADJ
cord-186927-b8i85vo7	81	7	aspect	aspect	NOUN
cord-186927-b8i85vo7	81	8	of	of	ADP
cord-186927-b8i85vo7	81	9	the	the	DET
cord-186927-b8i85vo7	81	10	framework	framework	NOUN
cord-186927-b8i85vo7	81	11	we	we	PRON
cord-186927-b8i85vo7	81	12	just	just	ADV
cord-186927-b8i85vo7	81	13	described	describe	VERB
cord-186927-b8i85vo7	81	14	is	be	AUX
cord-186927-b8i85vo7	81	15	that	that	SCONJ
cord-186927-b8i85vo7	81	16	the	the	DET
cord-186927-b8i85vo7	81	17	population	population	NOUN
cord-186927-b8i85vo7	81	18	is	be	AUX
cord-186927-b8i85vo7	81	19	perfectly	perfectly	ADV
cord-186927-b8i85vo7	81	20	rational	rational	ADJ
cord-186927-b8i85vo7	81	21	.	.	PUNCT
cord-186927-b8i85vo7	82	1	though	though	SCONJ
cord-186927-b8i85vo7	82	2	it	it	PRON
cord-186927-b8i85vo7	82	3	seems	seem	VERB
cord-186927-b8i85vo7	82	4	reasonable	reasonable	ADJ
cord-186927-b8i85vo7	82	5	to	to	PART
cord-186927-b8i85vo7	82	6	assume	assume	VERB
cord-186927-b8i85vo7	82	7	that	that	SCONJ
cord-186927-b8i85vo7	82	8	at	at	ADV
cord-186927-b8i85vo7	82	9	least	least	ADJ
cord-186927-b8i85vo7	82	10	some	some	PRON
cord-186927-b8i85vo7	82	11	individuals	individual	NOUN
cord-186927-b8i85vo7	82	12	,	,	PUNCT
cord-186927-b8i85vo7	82	13	being	be	AUX
cord-186927-b8i85vo7	82	14	afraid	afraid	ADJ
cord-186927-b8i85vo7	82	15	of	of	ADP
cord-186927-b8i85vo7	82	16	getting	get	VERB
cord-186927-b8i85vo7	82	17	sick	sick	ADJ
cord-186927-b8i85vo7	82	18	,	,	PUNCT
cord-186927-b8i85vo7	82	19	will	will	AUX
cord-186927-b8i85vo7	82	20	naturally	naturally	ADV
cord-186927-b8i85vo7	82	21	decrease	decrease	VERB
cord-186927-b8i85vo7	82	22	their	their	PRON
cord-186927-b8i85vo7	82	23	interaction	interaction	NOUN
cord-186927-b8i85vo7	82	24	rates	rate	NOUN
cord-186927-b8i85vo7	82	25	,	,	PUNCT
cord-186927-b8i85vo7	82	26	it	it	PRON
cord-186927-b8i85vo7	82	27	would	would	AUX
cord-186927-b8i85vo7	82	28	however	however	ADV
cord-186927-b8i85vo7	82	29	clearly	clearly	ADV
cord-186927-b8i85vo7	82	30	be	be	AUX
cord-186927-b8i85vo7	82	31	a	a	DET
cord-186927-b8i85vo7	82	32	stretch	stretch	NOUN
cord-186927-b8i85vo7	82	33	to	to	PART
cord-186927-b8i85vo7	82	34	assume	assume	VERB
cord-186927-b8i85vo7	82	35	that	that	SCONJ
cord-186927-b8i85vo7	82	36	all	all	DET
cord-186927-b8i85vo7	82	37	individuals	individual	NOUN
cord-186927-b8i85vo7	82	38	will	will	AUX
cord-186927-b8i85vo7	82	39	have	have	VERB
cord-186927-b8i85vo7	82	40	access	access	NOUN
cord-186927-b8i85vo7	82	41	to	to	ADP
cord-186927-b8i85vo7	82	42	enough	enough	ADJ
cord-186927-b8i85vo7	82	43	information	information	NOUN
cord-186927-b8i85vo7	82	44	,	,	PUNCT
cord-186927-b8i85vo7	82	45	compared	compare	VERB
cord-186927-b8i85vo7	82	46	for	for	ADP
cord-186927-b8i85vo7	82	47	instance	instance	NOUN
cord-186927-b8i85vo7	82	48	to	to	ADP
cord-186927-b8i85vo7	82	49	public	public	ADJ
cord-186927-b8i85vo7	82	50	institutions	institution	NOUN
cord-186927-b8i85vo7	82	51	,	,	PUNCT
cord-186927-b8i85vo7	82	52	for	for	SCONJ
cord-186927-b8i85vo7	82	53	them	they	PRON
cord-186927-b8i85vo7	82	54	to	to	PART
cord-186927-b8i85vo7	82	55	assess	assess	VERB
cord-186927-b8i85vo7	82	56	whether	whether	SCONJ
cord-186927-b8i85vo7	82	57	they	they	PRON
cord-186927-b8i85vo7	82	58	are	be	AUX
cord-186927-b8i85vo7	82	59	really	really	ADV
cord-186927-b8i85vo7	82	60	acting	act	VERB
cord-186927-b8i85vo7	82	61	in	in	ADP
cord-186927-b8i85vo7	82	62	a	a	DET
cord-186927-b8i85vo7	82	63	way	way	NOUN
cord-186927-b8i85vo7	82	64	which	which	PRON
cord-186927-b8i85vo7	82	65	is	be	AUX
cord-186927-b8i85vo7	82	66	truly	truly	ADV
cord-186927-b8i85vo7	82	67	beneficial	beneficial	ADJ
cord-186927-b8i85vo7	82	68	to	to	ADP
cord-186927-b8i85vo7	82	69	the	the	DET
cord-186927-b8i85vo7	82	70	population	population	NOUN
cord-186927-b8i85vo7	82	71	as	as	ADP
cord-186927-b8i85vo7	82	72	a	a	DET
cord-186927-b8i85vo7	82	73	whole	whole	NOUN
cord-186927-b8i85vo7	82	74	.	.	PUNCT
cord-186927-b8i85vo7	83	1	this	this	PRON
cord-186927-b8i85vo7	83	2	is	be	AUX
cord-186927-b8i85vo7	83	3	one	one	NUM
cord-186927-b8i85vo7	83	4	of	of	ADP
cord-186927-b8i85vo7	83	5	the	the	DET
cord-186927-b8i85vo7	83	6	reasons	reason	NOUN
cord-186927-b8i85vo7	83	7	why	why	SCONJ
cord-186927-b8i85vo7	83	8	quarantine	quarantine	NOUN
cord-186927-b8i85vo7	83	9	and	and	CCONJ
cord-186927-b8i85vo7	83	10	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	83	11	measures	measure	NOUN
cord-186927-b8i85vo7	83	12	can	can	AUX
cord-186927-b8i85vo7	83	13	be	be	AUX
cord-186927-b8i85vo7	83	14	in	in	ADP
cord-186927-b8i85vo7	83	15	addition	addition	NOUN
cord-186927-b8i85vo7	83	16	introduced	introduce	VERB
cord-186927-b8i85vo7	83	17	by	by	ADP
cord-186927-b8i85vo7	83	18	governments	government	NOUN
cord-186927-b8i85vo7	83	19	,	,	PUNCT
cord-186927-b8i85vo7	83	20	in	in	ADP
cord-186927-b8i85vo7	83	21	order	order	NOUN
cord-186927-b8i85vo7	83	22	to	to	PART
cord-186927-b8i85vo7	83	23	help	help	VERB
cord-186927-b8i85vo7	83	24	slow	slow	VERB
cord-186927-b8i85vo7	83	25	down	down	ADP
cord-186927-b8i85vo7	83	26	a	a	DET
cord-186927-b8i85vo7	83	27	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	83	28	,	,	PUNCT
cord-186927-b8i85vo7	83	29	when	when	SCONJ
cord-186927-b8i85vo7	83	30	no	no	DET
cord-186927-b8i85vo7	83	31	cure	cure	NOUN
cord-186927-b8i85vo7	83	32	nor	nor	CCONJ
cord-186927-b8i85vo7	83	33	vaccine	vaccine	NOUN
cord-186927-b8i85vo7	83	34	have	have	AUX
cord-186927-b8i85vo7	83	35	been	be	AUX
cord-186927-b8i85vo7	83	36	developed	develop	VERB
cord-186927-b8i85vo7	83	37	,	,	PUNCT
cord-186927-b8i85vo7	83	38	and	and	CCONJ
cord-186927-b8i85vo7	83	39	there	there	PRON
cord-186927-b8i85vo7	83	40	is	be	VERB
cord-186927-b8i85vo7	83	41	a	a	DET
cord-186927-b8i85vo7	83	42	risk	risk	NOUN
cord-186927-b8i85vo7	83	43	for	for	SCONJ
cord-186927-b8i85vo7	83	44	medical	medical	ADJ
cord-186927-b8i85vo7	83	45	facilities	facility	NOUN
cord-186927-b8i85vo7	83	46	to	to	PART
cord-186927-b8i85vo7	83	47	be	be	AUX
cord-186927-b8i85vo7	83	48	overwhelmed	overwhelm	VERB
cord-186927-b8i85vo7	83	49	by	by	ADP
cord-186927-b8i85vo7	83	50	a	a	DET
cord-186927-b8i85vo7	83	51	large	large	ADJ
cord-186927-b8i85vo7	83	52	influx	influx	NOUN
cord-186927-b8i85vo7	83	53	of	of	ADP
cord-186927-b8i85vo7	83	54	patients	patient	NOUN
cord-186927-b8i85vo7	83	55	.	.	PUNCT
cord-186927-b8i85vo7	84	1	as	as	SCONJ
cord-186927-b8i85vo7	84	2	should	should	AUX
cord-186927-b8i85vo7	84	3	be	be	AUX
cord-186927-b8i85vo7	84	4	expected	expect	VERB
cord-186927-b8i85vo7	84	5	,	,	PUNCT
cord-186927-b8i85vo7	84	6	a	a	DET
cord-186927-b8i85vo7	84	7	significant	significant	ADJ
cord-186927-b8i85vo7	84	8	part	part	NOUN
cord-186927-b8i85vo7	84	9	of	of	ADP
cord-186927-b8i85vo7	84	10	the	the	DET
cord-186927-b8i85vo7	84	11	recent	recent	ADJ
cord-186927-b8i85vo7	84	12	literature	literature	NOUN
cord-186927-b8i85vo7	84	13	on	on	ADP
cord-186927-b8i85vo7	84	14	the	the	DET
cord-186927-b8i85vo7	84	15	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	84	16	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	84	17	has	have	AUX
cord-186927-b8i85vo7	84	18	also	also	ADV
cord-186927-b8i85vo7	84	19	adopted	adopt	VERB
cord-186927-b8i85vo7	84	20	this	this	DET
cord-186927-b8i85vo7	84	21	point	point	NOUN
cord-186927-b8i85vo7	84	22	of	of	ADP
cord-186927-b8i85vo7	84	23	view	view	NOUN
cord-186927-b8i85vo7	84	24	,	,	PUNCT
cord-186927-b8i85vo7	84	25	and	and	CCONJ
cord-186927-b8i85vo7	84	26	such	such	ADJ
cord-186927-b8i85vo7	84	27	measures	measure	NOUN
cord-186927-b8i85vo7	84	28	as	as	ADV
cord-186927-b8i85vo7	84	29	well	well	ADV
cord-186927-b8i85vo7	84	30	as	as	ADP
cord-186927-b8i85vo7	84	31	their	their	PRON
cord-186927-b8i85vo7	84	32	medical	medical	ADJ
cord-186927-b8i85vo7	84	33	,	,	PUNCT
cord-186927-b8i85vo7	84	34	societal	societal	ADJ
cord-186927-b8i85vo7	84	35	,	,	PUNCT
cord-186927-b8i85vo7	84	36	and	and	CCONJ
cord-186927-b8i85vo7	84	37	economical	economical	ADJ
cord-186927-b8i85vo7	84	38	impacts	impact	NOUN
cord-186927-b8i85vo7	84	39	are	be	AUX
cord-186927-b8i85vo7	84	40	discussed	discuss	VERB
cord-186927-b8i85vo7	84	41	by	by	ADP
cord-186927-b8i85vo7	84	42	,	,	PUNCT
cord-186927-b8i85vo7	84	43	among	among	ADP
cord-186927-b8i85vo7	84	44	others	other	NOUN
cord-186927-b8i85vo7	84	45	,	,	PUNCT
cord-186927-b8i85vo7	84	46	alvarez	alvarez	PROPN
cord-186927-b8i85vo7	84	47	,	,	PUNCT
cord-186927-b8i85vo7	84	48	argente	argente	PROPN
cord-186927-b8i85vo7	84	49	,	,	PUNCT
cord-186927-b8i85vo7	84	50	and	and	CCONJ
cord-186927-b8i85vo7	84	51	lippi	lippi	PROPN
cord-186927-b8i85vo7	84	52	[	[	PUNCT
cord-186927-b8i85vo7	84	53	6	6	NUM
cord-186927-b8i85vo7	84	54	]	]	PUNCT
cord-186927-b8i85vo7	84	55	,	,	PUNCT
cord-186927-b8i85vo7	84	56	anderson	anderson	PROPN
cord-186927-b8i85vo7	84	57	,	,	PUNCT
cord-186927-b8i85vo7	84	58	heesterbeek	heesterbeek	PROPN
cord-186927-b8i85vo7	84	59	,	,	PUNCT
cord-186927-b8i85vo7	84	60	klinkenberg	klinkenberg	PROPN
cord-186927-b8i85vo7	84	61	,	,	PUNCT
cord-186927-b8i85vo7	84	62	and	and	CCONJ
cord-186927-b8i85vo7	84	63	hollingsworth	hollingsworth	NOUN
cord-186927-b8i85vo7	84	64	[	[	NOUN
cord-186927-b8i85vo7	84	65	9	9	NUM
cord-186927-b8i85vo7	84	66	]	]	PUNCT
cord-186927-b8i85vo7	84	67	,	,	PUNCT
cord-186927-b8i85vo7	84	68	colbourn	colbourn	VERB
cord-186927-b8i85vo7	84	69	[	[	X
cord-186927-b8i85vo7	84	70	24	24	NUM
cord-186927-b8i85vo7	84	71	]	]	PUNCT
cord-186927-b8i85vo7	84	72	,	,	PUNCT
cord-186927-b8i85vo7	84	73	del	del	PROPN
cord-186927-b8i85vo7	84	74	rio	rio	PROPN
cord-186927-b8i85vo7	84	75	and	and	CCONJ
cord-186927-b8i85vo7	84	76	malani	malani	PROPN
cord-186927-b8i85vo7	84	77	[	[	X
cord-186927-b8i85vo7	84	78	30	30	NUM
cord-186927-b8i85vo7	84	79	]	]	PUNCT
cord-186927-b8i85vo7	84	80	,	,	PUNCT
cord-186927-b8i85vo7	84	81	djidjou	djidjou	ADJ
cord-186927-b8i85vo7	84	82	-	-	PUNCT
cord-186927-b8i85vo7	84	83	demasse	demasse	NOUN
cord-186927-b8i85vo7	84	84	,	,	PUNCT
cord-186927-b8i85vo7	84	85	michalakis	michalaki	NOUN
cord-186927-b8i85vo7	84	86	,	,	PUNCT
cord-186927-b8i85vo7	84	87	choisy	choisy	PROPN
cord-186927-b8i85vo7	84	88	,	,	PUNCT
cord-186927-b8i85vo7	84	89	sofonea	sofonea	NOUN
cord-186927-b8i85vo7	84	90	,	,	PUNCT
cord-186927-b8i85vo7	84	91	and	and	CCONJ
cord-186927-b8i85vo7	84	92	alizon	alizon	VERB
cord-186927-b8i85vo7	84	93	[	[	X
cord-186927-b8i85vo7	84	94	31	31	NUM
cord-186927-b8i85vo7	84	95	]	]	PUNCT
cord-186927-b8i85vo7	84	96	,	,	PUNCT
cord-186927-b8i85vo7	84	97	élie	élie	PROPN
cord-186927-b8i85vo7	84	98	,	,	PUNCT
cord-186927-b8i85vo7	84	99	hubert	hubert	PROPN
cord-186927-b8i85vo7	84	100	,	,	PUNCT
cord-186927-b8i85vo7	84	101	and	and	CCONJ
cord-186927-b8i85vo7	84	102	turinici	turinici	PROPN
cord-186927-b8i85vo7	85	1	[	[	X
cord-186927-b8i85vo7	85	2	38	38	NUM
cord-186927-b8i85vo7	85	3	]	]	PUNCT
cord-186927-b8i85vo7	85	4	,	,	PUNCT
cord-186927-b8i85vo7	85	5	ferguson	ferguson	NOUN
cord-186927-b8i85vo7	85	6	et	et	PROPN
cord-186927-b8i85vo7	85	7	al	al	PROPN
cord-186927-b8i85vo7	85	8	.	.	PUNCT
cord-186927-b8i85vo7	86	1	[	[	X
cord-186927-b8i85vo7	86	2	40	40	NUM
cord-186927-b8i85vo7	86	3	]	]	PUNCT
cord-186927-b8i85vo7	86	4	,	,	PUNCT
cord-186927-b8i85vo7	86	5	fowler	fowler	PROPN
cord-186927-b8i85vo7	86	6	,	,	PUNCT
cord-186927-b8i85vo7	86	7	hill	hill	PROPN
cord-186927-b8i85vo7	86	8	,	,	PUNCT
cord-186927-b8i85vo7	86	9	levin	levin	PROPN
cord-186927-b8i85vo7	86	10	,	,	PUNCT
cord-186927-b8i85vo7	86	11	and	and	CCONJ
cord-186927-b8i85vo7	87	1	obradovich	obradovich	ADV
cord-186927-b8i85vo7	88	1	[	[	X
cord-186927-b8i85vo7	88	2	41	41	NUM
cord-186927-b8i85vo7	88	3	]	]	PUNCT
cord-186927-b8i85vo7	88	4	,	,	PUNCT
cord-186927-b8i85vo7	88	5	grigorieva	grigorieva	PROPN
cord-186927-b8i85vo7	88	6	,	,	PUNCT
cord-186927-b8i85vo7	88	7	khailov	khailov	PROPN
cord-186927-b8i85vo7	88	8	,	,	PUNCT
cord-186927-b8i85vo7	88	9	and	and	CCONJ
cord-186927-b8i85vo7	88	10	korobeinikov	korobeinikov	PROPN
cord-186927-b8i85vo7	88	11	[	[	PUNCT
cord-186927-b8i85vo7	88	12	49	49	NUM
cord-186927-b8i85vo7	88	13	]	]	PUNCT
cord-186927-b8i85vo7	88	14	,	,	PUNCT
cord-186927-b8i85vo7	88	15	hatchimonji	hatchimonji	PROPN
cord-186927-b8i85vo7	88	16	,	,	PUNCT
cord-186927-b8i85vo7	88	17	swendiman	swendiman	PROPN
cord-186927-b8i85vo7	88	18	,	,	PUNCT
cord-186927-b8i85vo7	88	19	and	and	CCONJ
cord-186927-b8i85vo7	88	20	seamon	seamon	NOUN
cord-186927-b8i85vo7	88	21	[	[	PUNCT
cord-186927-b8i85vo7	88	22	54	54	NUM
cord-186927-b8i85vo7	88	23	]	]	PUNCT
cord-186927-b8i85vo7	88	24	,	,	PUNCT
cord-186927-b8i85vo7	88	25	kantner	kantner	NOUN
cord-186927-b8i85vo7	89	1	[	[	X
cord-186927-b8i85vo7	89	2	62	62	NUM
cord-186927-b8i85vo7	89	3	]	]	PUNCT
cord-186927-b8i85vo7	89	4	,	,	PUNCT
cord-186927-b8i85vo7	89	5	ketcheson	ketcheson	PROPN
cord-186927-b8i85vo7	90	1	[	[	PUNCT
cord-186927-b8i85vo7	90	2	65	65	NUM
cord-186927-b8i85vo7	90	3	]	]	PUNCT
cord-186927-b8i85vo7	90	4	,	,	PUNCT
cord-186927-b8i85vo7	90	5	piguillem	piguillem	NOUN
cord-186927-b8i85vo7	90	6	and	and	CCONJ
cord-186927-b8i85vo7	90	7	shi	shi	PROPN
cord-186927-b8i85vo7	91	1	[	[	PUNCT
cord-186927-b8i85vo7	91	2	83	83	NUM
cord-186927-b8i85vo7	91	3	]	]	PUNCT
cord-186927-b8i85vo7	91	4	,	,	PUNCT
cord-186927-b8i85vo7	91	5	thunstrom	thunstrom	PROPN
cord-186927-b8i85vo7	91	6	,	,	PUNCT
cord-186927-b8i85vo7	91	7	newbold	newbold	ADJ
cord-186927-b8i85vo7	91	8	,	,	PUNCT
cord-186927-b8i85vo7	91	9	finnoff	finnoff	NOUN
cord-186927-b8i85vo7	91	10	,	,	PUNCT
cord-186927-b8i85vo7	91	11	ashworth	ashworth	PROPN
cord-186927-b8i85vo7	91	12	,	,	PUNCT
cord-186927-b8i85vo7	91	13	and	and	CCONJ
cord-186927-b8i85vo7	91	14	shogren	shogren	PROPN
cord-186927-b8i85vo7	91	15	[	[	X
cord-186927-b8i85vo7	91	16	101	101	NUM
cord-186927-b8i85vo7	91	17	]	]	PUNCT
cord-186927-b8i85vo7	91	18	,	,	PUNCT
cord-186927-b8i85vo7	91	19	toda	toda	NOUN
cord-186927-b8i85vo7	91	20	[	[	X
cord-186927-b8i85vo7	91	21	102	102	NUM
cord-186927-b8i85vo7	91	22	]	]	PUNCT
cord-186927-b8i85vo7	91	23	,	,	PUNCT
cord-186927-b8i85vo7	91	24	or	or	CCONJ
cord-186927-b8i85vo7	91	25	wilder	wilder	NOUN
cord-186927-b8i85vo7	91	26	-	-	PUNCT
cord-186927-b8i85vo7	91	27	smith	smith	PROPN
cord-186927-b8i85vo7	91	28	,	,	PUNCT
cord-186927-b8i85vo7	91	29	chiew	chiew	NOUN
cord-186927-b8i85vo7	91	30	,	,	PUNCT
cord-186927-b8i85vo7	91	31	and	and	CCONJ
cord-186927-b8i85vo7	91	32	lee	lee	PROPN
cord-186927-b8i85vo7	92	1	[	[	PUNCT
cord-186927-b8i85vo7	92	2	108	108	NUM
cord-186927-b8i85vo7	92	3	]	]	PUNCT
cord-186927-b8i85vo7	92	4	.	.	PUNCT
cord-186927-b8i85vo7	93	1	a	a	DET
cord-186927-b8i85vo7	93	2	telling	telling	ADJ
cord-186927-b8i85vo7	93	3	example	example	NOUN
cord-186927-b8i85vo7	93	4	in	in	ADP
cord-186927-b8i85vo7	93	5	the	the	DET
cord-186927-b8i85vo7	93	6	above	above	ADJ
cord-186927-b8i85vo7	93	7	list	list	NOUN
cord-186927-b8i85vo7	93	8	is	be	AUX
cord-186927-b8i85vo7	93	9	the	the	DET
cord-186927-b8i85vo7	93	10	report	report	NOUN
cord-186927-b8i85vo7	93	11	of	of	ADP
cord-186927-b8i85vo7	93	12	the	the	DET
cord-186927-b8i85vo7	93	13	imperial	imperial	PROPN
cord-186927-b8i85vo7	93	14	college	college	PROPN
cord-186927-b8i85vo7	93	15	london	london	PROPN
cord-186927-b8i85vo7	93	16	by	by	ADP
cord-186927-b8i85vo7	93	17	ferguson	ferguson	PROPN
cord-186927-b8i85vo7	93	18	et	et	PROPN
cord-186927-b8i85vo7	93	19	al	al	PROPN
cord-186927-b8i85vo7	93	20	.	.	PUNCT
cord-186927-b8i85vo7	94	1	[	[	X
cord-186927-b8i85vo7	94	2	40	40	NUM
cord-186927-b8i85vo7	94	3	]	]	PUNCT
cord-186927-b8i85vo7	94	4	,	,	PUNCT
cord-186927-b8i85vo7	94	5	which	which	PRON
cord-186927-b8i85vo7	94	6	assesses	assess	VERB
cord-186927-b8i85vo7	94	7	the	the	DET
cord-186927-b8i85vo7	94	8	impact	impact	NOUN
cord-186927-b8i85vo7	94	9	of	of	ADP
cord-186927-b8i85vo7	94	10	non	non	ADJ
cord-186927-b8i85vo7	94	11	-	-	ADJ
cord-186927-b8i85vo7	94	12	pharmaceutical	pharmaceutical	ADJ
cord-186927-b8i85vo7	94	13	interventions	intervention	NOUN
cord-186927-b8i85vo7	94	14	to	to	PART
cord-186927-b8i85vo7	94	15	reduce	reduce	VERB
cord-186927-b8i85vo7	94	16	the	the	DET
cord-186927-b8i85vo7	94	17	contact	contact	NOUN
cord-186927-b8i85vo7	94	18	rate	rate	NOUN
cord-186927-b8i85vo7	94	19	within	within	ADP
cord-186927-b8i85vo7	94	20	a	a	DET
cord-186927-b8i85vo7	94	21	population	population	NOUN
cord-186927-b8i85vo7	94	22	for	for	ADP
cord-186927-b8i85vo7	94	23	the	the	DET
cord-186927-b8i85vo7	94	24	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	94	25	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	94	26	.	.	PUNCT
cord-186927-b8i85vo7	95	1	they	they	PRON
cord-186927-b8i85vo7	95	2	distinguish	distinguish	VERB
cord-186927-b8i85vo7	95	3	between	between	ADP
cord-186927-b8i85vo7	95	4	mitigation	mitigation	NOUN
cord-186927-b8i85vo7	95	5	strategies	strategy	NOUN
cord-186927-b8i85vo7	95	6	(	(	PUNCT
cord-186927-b8i85vo7	95	7	i.e.	i.e.	X
cord-186927-b8i85vo7	95	8	reduction	reduction	NOUN
cord-186927-b8i85vo7	95	9	of	of	ADP
cord-186927-b8i85vo7	95	10	the	the	DET
cord-186927-b8i85vo7	95	11	peak	peak	NOUN
cord-186927-b8i85vo7	95	12	hospitalisation	hospitalisation	NOUN
cord-186927-b8i85vo7	95	13	levels	level	NOUN
cord-186927-b8i85vo7	95	14	by	by	ADP
cord-186927-b8i85vo7	95	15	protecting	protect	VERB
cord-186927-b8i85vo7	95	16	the	the	DET
cord-186927-b8i85vo7	95	17	most	most	ADV
cord-186927-b8i85vo7	95	18	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	95	19	individual	individual	NOUN
cord-186927-b8i85vo7	95	20	from	from	ADP
cord-186927-b8i85vo7	95	21	getting	getting	AUX
cord-186927-b8i85vo7	95	22	infected	infect	VERB
cord-186927-b8i85vo7	95	23	,	,	PUNCT
cord-186927-b8i85vo7	95	24	with	with	ADP
cord-186927-b8i85vo7	95	25	shelter	shelter	NOUN
cord-186927-b8i85vo7	95	26	in	in	ADP
cord-186927-b8i85vo7	95	27	place	place	NOUN
cord-186927-b8i85vo7	95	28	policies	policy	NOUN
cord-186927-b8i85vo7	95	29	or	or	CCONJ
cord-186927-b8i85vo7	95	30	social	social	ADJ
cord-186927-b8i85vo7	95	31	distancing	distancing	NOUN
cord-186927-b8i85vo7	95	32	)	)	PUNCT
cord-186927-b8i85vo7	95	33	,	,	PUNCT
cord-186927-b8i85vo7	95	34	and	and	CCONJ
cord-186927-b8i85vo7	95	35	suppression	suppression	NOUN
cord-186927-b8i85vo7	95	36	strategies	strategy	NOUN
cord-186927-b8i85vo7	95	37	(	(	PUNCT
cord-186927-b8i85vo7	95	38	i.e.	i.e.	X
cord-186927-b8i85vo7	95	39	aiming	aim	VERB
cord-186927-b8i85vo7	95	40	at	at	ADP
cord-186927-b8i85vo7	95	41	reversing	reverse	VERB
cord-186927-b8i85vo7	95	42	the	the	DET
cord-186927-b8i85vo7	95	43	disease	disease	NOUN
cord-186927-b8i85vo7	95	44	growth	growth	NOUN
cord-186927-b8i85vo7	95	45	with	with	ADP
cord-186927-b8i85vo7	95	46	home	home	NOUN
cord-186927-b8i85vo7	95	47	isolation	isolation	NOUN
cord-186927-b8i85vo7	95	48	and	and	CCONJ
cord-186927-b8i85vo7	95	49	social	social	ADJ
cord-186927-b8i85vo7	95	50	distancing	distancing	NOUN
cord-186927-b8i85vo7	95	51	for	for	ADP
cord-186927-b8i85vo7	95	52	the	the	DET
cord-186927-b8i85vo7	95	53	entire	entire	ADJ
cord-186927-b8i85vo7	95	54	population	population	NOUN
cord-186927-b8i85vo7	95	55	)	)	PUNCT
cord-186927-b8i85vo7	95	56	.	.	PUNCT
cord-186927-b8i85vo7	96	1	it	it	PRON
cord-186927-b8i85vo7	96	2	has	have	AUX
cord-186927-b8i85vo7	96	3	been	be	AUX
cord-186927-b8i85vo7	96	4	showed	show	VERB
cord-186927-b8i85vo7	96	5	that	that	SCONJ
cord-186927-b8i85vo7	96	6	mitigation	mitigation	NOUN
cord-186927-b8i85vo7	96	7	policies	policy	NOUN
cord-186927-b8i85vo7	96	8	'	'	PUNCT
cord-186927-b8i85vo7	96	9	might	might	AUX
cord-186927-b8i85vo7	96	10	reduce	reduce	VERB
cord-186927-b8i85vo7	96	11	deaths	death	NOUN
cord-186927-b8i85vo7	96	12	seen	see	VERB
cord-186927-b8i85vo7	96	13	in	in	ADP
cord-186927-b8i85vo7	96	14	the	the	DET
cord-186927-b8i85vo7	96	15	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	96	16	by	by	ADP
cord-186927-b8i85vo7	96	17	up	up	ADP
cord-186927-b8i85vo7	96	18	to	to	PART
cord-186927-b8i85vo7	96	19	half	half	NOUN
cord-186927-b8i85vo7	96	20	,	,	PUNCT
cord-186927-b8i85vo7	96	21	and	and	CCONJ
cord-186927-b8i85vo7	96	22	peak	peak	NOUN
cord-186927-b8i85vo7	96	23	healthcare	healthcare	NOUN
cord-186927-b8i85vo7	96	24	demand	demand	NOUN
cord-186927-b8i85vo7	96	25	by	by	ADP
cord-186927-b8i85vo7	96	26	two	two	NUM
cord-186927-b8i85vo7	96	27	-	-	PUNCT
cord-186927-b8i85vo7	96	28	thirds	third	NOUN
cord-186927-b8i85vo7	96	29	,	,	PUNCT
cord-186927-b8i85vo7	96	30	'	'	PUNCT
cord-186927-b8i85vo7	96	31	(	(	PUNCT
cord-186927-b8i85vo7	96	32	ferguson	ferguson	PROPN
cord-186927-b8i85vo7	96	33	et	et	PROPN
cord-186927-b8i85vo7	96	34	al	al	PROPN
cord-186927-b8i85vo7	96	35	.	.	PUNCT
cord-186927-b8i85vo7	97	1	[	[	X
cord-186927-b8i85vo7	97	2	40	40	NUM
cord-186927-b8i85vo7	97	3	,	,	PUNCT
cord-186927-b8i85vo7	97	4	pp	pp	ADV
cord-186927-b8i85vo7	97	5	.	.	PROPN
cord-186927-b8i85vo7	98	1	15	15	NUM
cord-186927-b8i85vo7	98	2	]	]	PUNCT
cord-186927-b8i85vo7	98	3	)	)	PUNCT
cord-186927-b8i85vo7	98	4	but	but	CCONJ
cord-186927-b8i85vo7	98	5	will	will	AUX
cord-186927-b8i85vo7	98	6	lead	lead	VERB
cord-186927-b8i85vo7	98	7	to	to	ADP
cord-186927-b8i85vo7	98	8	numerous	numerous	ADJ
cord-186927-b8i85vo7	98	9	deaths	death	NOUN
cord-186927-b8i85vo7	98	10	and	and	CCONJ
cord-186927-b8i85vo7	98	11	saturation	saturation	NOUN
cord-186927-b8i85vo7	98	12	of	of	ADP
cord-186927-b8i85vo7	98	13	health	health	NOUN
cord-186927-b8i85vo7	98	14	systems	system	NOUN
cord-186927-b8i85vo7	98	15	.	.	PUNCT
cord-186927-b8i85vo7	99	1	the	the	DET
cord-186927-b8i85vo7	99	2	suppression	suppression	NOUN
cord-186927-b8i85vo7	99	3	strategy	strategy	NOUN
cord-186927-b8i85vo7	99	4	thus	thus	ADV
cord-186927-b8i85vo7	99	5	appears	appear	VERB
cord-186927-b8i85vo7	99	6	in	in	ADP
cord-186927-b8i85vo7	99	7	this	this	DET
cord-186927-b8i85vo7	99	8	report	report	NOUN
cord-186927-b8i85vo7	99	9	as	as	ADP
cord-186927-b8i85vo7	99	10	a	a	DET
cord-186927-b8i85vo7	99	11	preferred	preferred	ADJ
cord-186927-b8i85vo7	99	12	policy	policy	NOUN
cord-186927-b8i85vo7	99	13	.	.	PUNCT
cord-186927-b8i85vo7	100	1	in	in	ADP
cord-186927-b8i85vo7	100	2	light	light	NOUN
cord-186927-b8i85vo7	100	3	of	of	ADP
cord-186927-b8i85vo7	100	4	the	the	DET
cord-186927-b8i85vo7	100	5	issues	issue	NOUN
cord-186927-b8i85vo7	100	6	we	we	PRON
cord-186927-b8i85vo7	100	7	have	have	AUX
cord-186927-b8i85vo7	100	8	raised	raise	VERB
cord-186927-b8i85vo7	100	9	,	,	PUNCT
cord-186927-b8i85vo7	100	10	a	a	DET
cord-186927-b8i85vo7	100	11	natural	natural	ADJ
cord-186927-b8i85vo7	100	12	conclusion	conclusion	NOUN
cord-186927-b8i85vo7	100	13	was	be	AUX
cord-186927-b8i85vo7	100	14	,	,	PUNCT
cord-186927-b8i85vo7	100	15	at	at	ADP
cord-186927-b8i85vo7	100	16	least	least	ADJ
cord-186927-b8i85vo7	100	17	for	for	ADP
cord-186927-b8i85vo7	100	18	us	we	PRON
cord-186927-b8i85vo7	100	19	,	,	PUNCT
cord-186927-b8i85vo7	100	20	that	that	SCONJ
cord-186927-b8i85vo7	100	21	even	even	ADV
cord-186927-b8i85vo7	100	22	if	if	SCONJ
cord-186927-b8i85vo7	100	23	a	a	DET
cord-186927-b8i85vo7	100	24	control	control	NOUN
cord-186927-b8i85vo7	100	25	-	-	PUNCT
cord-186927-b8i85vo7	100	26	theoretic	theoretic	ADJ
cord-186927-b8i85vo7	100	27	approach	approach	NOUN
cord-186927-b8i85vo7	100	28	to	to	PART
cord-186927-b8i85vo7	100	29	mitigate	mitigate	VERB
cord-186927-b8i85vo7	100	30	the	the	DET
cord-186927-b8i85vo7	100	31	impact	impact	NOUN
cord-186927-b8i85vo7	100	32	of	of	ADP
cord-186927-b8i85vo7	100	33	an	an	DET
cord-186927-b8i85vo7	100	34	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	100	35	is	be	AUX
cord-186927-b8i85vo7	100	36	clearly	clearly	ADV
cord-186927-b8i85vo7	100	37	desirable	desirable	ADJ
cord-186927-b8i85vo7	100	38	,	,	PUNCT
cord-186927-b8i85vo7	100	39	there	there	PRON
cord-186927-b8i85vo7	100	40	is	be	VERB
cord-186927-b8i85vo7	100	41	a	a	DET
cord-186927-b8i85vo7	100	42	priori	priori	ADJ
cord-186927-b8i85vo7	100	43	no	no	DET
cord-186927-b8i85vo7	100	44	evidence	evidence	NOUN
cord-186927-b8i85vo7	100	45	that	that	SCONJ
cord-186927-b8i85vo7	100	46	in	in	ADP
cord-186927-b8i85vo7	100	47	face	face	NOUN
cord-186927-b8i85vo7	100	48	of	of	ADP
cord-186927-b8i85vo7	100	49	clear	clear	ADJ
cord-186927-b8i85vo7	100	50	public	public	ADJ
cord-186927-b8i85vo7	100	51	policies	policy	NOUN
cord-186927-b8i85vo7	100	52	,	,	PUNCT
cord-186927-b8i85vo7	100	53	a	a	DET
cord-186927-b8i85vo7	100	54	population	population	NOUN
cord-186927-b8i85vo7	100	55	will	will	AUX
cord-186927-b8i85vo7	100	56	directly	directly	ADV
cord-186927-b8i85vo7	100	57	adopt	adopt	VERB
cord-186927-b8i85vo7	100	58	a	a	DET
cord-186927-b8i85vo7	100	59	social	social	ADJ
cord-186927-b8i85vo7	100	60	distancing	distancing	NOUN
cord-186927-b8i85vo7	100	61	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	100	62	leading	lead	VERB
cord-186927-b8i85vo7	100	63	to	to	ADP
cord-186927-b8i85vo7	100	64	an	an	DET
cord-186927-b8i85vo7	100	65	optimal	optimal	ADJ
cord-186927-b8i85vo7	100	66	transmission	transmission	NOUN
cord-186927-b8i85vo7	100	67	rate	rate	NOUN
cord-186927-b8i85vo7	100	68	for	for	ADP
cord-186927-b8i85vo7	100	69	the	the	DET
cord-186927-b8i85vo7	100	70	welfare	welfare	NOUN
cord-186927-b8i85vo7	100	71	of	of	ADP
cord-186927-b8i85vo7	100	72	the	the	DET
cord-186927-b8i85vo7	100	73	society	society	NOUN
cord-186927-b8i85vo7	100	74	.	.	PUNCT
cord-186927-b8i85vo7	101	1	moreover	moreover	ADV
cord-186927-b8i85vo7	101	2	,	,	PUNCT
cord-186927-b8i85vo7	101	3	in	in	ADP
cord-186927-b8i85vo7	101	4	the	the	DET
cord-186927-b8i85vo7	101	5	absence	absence	NOUN
cord-186927-b8i85vo7	101	6	of	of	ADP
cord-186927-b8i85vo7	101	7	a	a	DET
cord-186927-b8i85vo7	101	8	system	system	NOUN
cord-186927-b8i85vo7	101	9	allowing	allow	VERB
cord-186927-b8i85vo7	101	10	to	to	PART
cord-186927-b8i85vo7	101	11	actually	actually	ADV
cord-186927-b8i85vo7	101	12	keep	keep	VERB
cord-186927-b8i85vo7	101	13	track	track	NOUN
cord-186927-b8i85vo7	101	14	of	of	ADP
cord-186927-b8i85vo7	101	15	the	the	DET
cord-186927-b8i85vo7	101	16	level	level	NOUN
cord-186927-b8i85vo7	101	17	of	of	ADP
cord-186927-b8i85vo7	101	18	interaction	interaction	NOUN
cord-186927-b8i85vo7	101	19	within	within	ADP
cord-186927-b8i85vo7	101	20	the	the	DET
cord-186927-b8i85vo7	101	21	population	population	NOUN
cord-186927-b8i85vo7	101	22	,	,	PUNCT
cord-186927-b8i85vo7	101	23	governments	government	NOUN
cord-186927-b8i85vo7	101	24	are	be	AUX
cord-186927-b8i85vo7	101	25	faced	face	VERB
cord-186927-b8i85vo7	101	26	with	with	ADP
cord-186927-b8i85vo7	101	27	a	a	DET
cord-186927-b8i85vo7	101	28	clear	clear	ADJ
cord-186927-b8i85vo7	101	29	situation	situation	NOUN
cord-186927-b8i85vo7	101	30	of	of	ADP
cord-186927-b8i85vo7	101	31	moral	moral	ADJ
cord-186927-b8i85vo7	101	32	hazard	hazard	NOUN
cord-186927-b8i85vo7	101	33	.	.	PUNCT
cord-186927-b8i85vo7	102	1	1	1	NUM
cord-186927-b8i85vo7	102	2	consequently	consequently	ADV
cord-186927-b8i85vo7	102	3	,	,	PUNCT
cord-186927-b8i85vo7	102	4	an	an	DET
cord-186927-b8i85vo7	102	5	incentive	incentive	NOUN
cord-186927-b8i85vo7	102	6	policy	policy	NOUN
cord-186927-b8i85vo7	102	7	should	should	AUX
cord-186927-b8i85vo7	102	8	also	also	ADV
cord-186927-b8i85vo7	102	9	be	be	AUX
cord-186927-b8i85vo7	102	10	calibrated	calibrate	VERB
cord-186927-b8i85vo7	102	11	by	by	ADP
cord-186927-b8i85vo7	102	12	governments	government	NOUN
cord-186927-b8i85vo7	102	13	in	in	ADP
cord-186927-b8i85vo7	102	14	order	order	NOUN
cord-186927-b8i85vo7	102	15	to	to	PART
cord-186927-b8i85vo7	102	16	get	get	VERB
cord-186927-b8i85vo7	102	17	a	a	DET
cord-186927-b8i85vo7	102	18	better	well	ADJ
cord-186927-b8i85vo7	102	19	control	control	NOUN
cord-186927-b8i85vo7	102	20	on	on	ADP
cord-186927-b8i85vo7	102	21	the	the	DET
cord-186927-b8i85vo7	102	22	spread	spread	NOUN
cord-186927-b8i85vo7	102	23	of	of	ADP
cord-186927-b8i85vo7	102	24	the	the	DET
cord-186927-b8i85vo7	102	25	disease	disease	NOUN
cord-186927-b8i85vo7	102	26	.	.	PUNCT
cord-186927-b8i85vo7	103	1	this	this	PRON
cord-186927-b8i85vo7	103	2	,	,	PUNCT
cord-186927-b8i85vo7	103	3	as	as	SCONJ
cord-186927-b8i85vo7	103	4	expected	expect	VERB
cord-186927-b8i85vo7	103	5	,	,	PUNCT
cord-186927-b8i85vo7	103	6	leads	lead	VERB
cord-186927-b8i85vo7	103	7	us	we	PRON
cord-186927-b8i85vo7	103	8	to	to	ADP
cord-186927-b8i85vo7	103	9	our	our	PRON
cord-186927-b8i85vo7	103	10	third	third	ADJ
cord-186927-b8i85vo7	103	11	question	question	NOUN
cord-186927-b8i85vo7	103	12	,	,	PUNCT
cord-186927-b8i85vo7	103	13	which	which	PRON
cord-186927-b8i85vo7	103	14	is	be	AUX
cord-186927-b8i85vo7	103	15	where	where	SCONJ
cord-186927-b8i85vo7	103	16	our	our	PRON
cord-186927-b8i85vo7	103	17	approach	approach	NOUN
cord-186927-b8i85vo7	103	18	departs	depart	VERB
cord-186927-b8i85vo7	103	19	significantly	significantly	ADV
cord-186927-b8i85vo7	103	20	from	from	ADP
cord-186927-b8i85vo7	103	21	the	the	DET
cord-186927-b8i85vo7	103	22	extant	extant	ADJ
cord-186927-b8i85vo7	103	23	literature	literature	PROPN
cord-186927-b8i85vo7	103	24	.	.	PUNCT
cord-186927-b8i85vo7	104	1	the	the	DET
cord-186927-b8i85vo7	104	2	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	104	3	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	104	4	has	have	AUX
cord-186927-b8i85vo7	104	5	emphasised	emphasise	VERB
cord-186927-b8i85vo7	104	6	that	that	SCONJ
cord-186927-b8i85vo7	104	7	a	a	DET
cord-186927-b8i85vo7	104	8	control	control	NOUN
cord-186927-b8i85vo7	104	9	policy	policy	NOUN
cord-186927-b8i85vo7	104	10	has	have	VERB
cord-186927-b8i85vo7	104	11	to	to	PART
cord-186927-b8i85vo7	104	12	be	be	AUX
cord-186927-b8i85vo7	104	13	established	establish	VERB
cord-186927-b8i85vo7	104	14	with	with	ADP
cord-186927-b8i85vo7	104	15	penalties	penalty	NOUN
cord-186927-b8i85vo7	104	16	,	,	PUNCT
cord-186927-b8i85vo7	104	17	if	if	SCONJ
cord-186927-b8i85vo7	104	18	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	104	19	measures	measure	NOUN
cord-186927-b8i85vo7	104	20	are	be	AUX
cord-186927-b8i85vo7	104	21	not	not	PART
cord-186927-b8i85vo7	104	22	respected	respect	VERB
cord-186927-b8i85vo7	104	23	by	by	ADP
cord-186927-b8i85vo7	104	24	the	the	DET
cord-186927-b8i85vo7	104	25	population	population	NOUN
cord-186927-b8i85vo7	104	26	.	.	PUNCT
cord-186927-b8i85vo7	105	1	however	however	ADV
cord-186927-b8i85vo7	105	2	,	,	PUNCT
cord-186927-b8i85vo7	105	3	such	such	ADJ
cord-186927-b8i85vo7	105	4	policy	policy	NOUN
cord-186927-b8i85vo7	105	5	is	be	AUX
cord-186927-b8i85vo7	105	6	subject	subject	ADJ
cord-186927-b8i85vo7	105	7	to	to	ADP
cord-186927-b8i85vo7	105	8	two	two	NUM
cord-186927-b8i85vo7	105	9	mains	main	NOUN
cord-186927-b8i85vo7	105	10	issues	issue	NOUN
cord-186927-b8i85vo7	105	11	.	.	PUNCT
cord-186927-b8i85vo7	106	1	first	first	ADV
cord-186927-b8i85vo7	106	2	,	,	PUNCT
cord-186927-b8i85vo7	106	3	regardless	regardless	ADV
cord-186927-b8i85vo7	106	4	of	of	ADP
cord-186927-b8i85vo7	106	5	the	the	DET
cord-186927-b8i85vo7	106	6	amount	amount	NOUN
cord-186927-b8i85vo7	106	7	of	of	ADP
cord-186927-b8i85vo7	106	8	police	police	NOUN
cord-186927-b8i85vo7	106	9	checks	check	NOUN
cord-186927-b8i85vo7	106	10	being	be	AUX
cord-186927-b8i85vo7	106	11	put	put	VERB
cord-186927-b8i85vo7	106	12	into	into	ADP
cord-186927-b8i85vo7	106	13	place	place	NOUN
cord-186927-b8i85vo7	106	14	,	,	PUNCT
cord-186927-b8i85vo7	106	15	it	it	PRON
cord-186927-b8i85vo7	106	16	is	be	AUX
cord-186927-b8i85vo7	106	17	impossible	impossible	ADJ
cord-186927-b8i85vo7	106	18	for	for	SCONJ
cord-186927-b8i85vo7	106	19	large	large	ADJ
cord-186927-b8i85vo7	106	20	countries	country	NOUN
cord-186927-b8i85vo7	106	21	to	to	PART
cord-186927-b8i85vo7	106	22	ensure	ensure	VERB
cord-186927-b8i85vo7	106	23	the	the	DET
cord-186927-b8i85vo7	106	24	application	application	NOUN
cord-186927-b8i85vo7	106	25	of	of	ADP
cord-186927-b8i85vo7	106	26	such	such	ADJ
cord-186927-b8i85vo7	106	27	isolation	isolation	NOUN
cord-186927-b8i85vo7	106	28	measures	measure	NOUN
cord-186927-b8i85vo7	106	29	,	,	PUNCT
cord-186927-b8i85vo7	106	30	and	and	CCONJ
cord-186927-b8i85vo7	106	31	therefore	therefore	ADV
cord-186927-b8i85vo7	106	32	it	it	PRON
cord-186927-b8i85vo7	106	33	is	be	AUX
cord-186927-b8i85vo7	106	34	unfeasible	unfeasible	ADJ
cord-186927-b8i85vo7	106	35	to	to	PART
cord-186927-b8i85vo7	106	36	have	have	VERB
cord-186927-b8i85vo7	106	37	an	an	DET
cord-186927-b8i85vo7	106	38	absolute	absolute	ADJ
cord-186927-b8i85vo7	106	39	control	control	NOUN
cord-186927-b8i85vo7	106	40	on	on	ADP
cord-186927-b8i85vo7	106	41	the	the	DET
cord-186927-b8i85vo7	106	42	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	106	43	of	of	ADP
cord-186927-b8i85vo7	106	44	all	all	DET
cord-186927-b8i85vo7	106	45	individuals	individual	NOUN
cord-186927-b8i85vo7	106	46	and	and	CCONJ
cord-186927-b8i85vo7	106	47	their	their	PRON
cord-186927-b8i85vo7	106	48	interactions	interaction	NOUN
cord-186927-b8i85vo7	106	49	.	.	PUNCT
cord-186927-b8i85vo7	107	1	second	second	ADV
cord-186927-b8i85vo7	107	2	,	,	PUNCT
cord-186927-b8i85vo7	107	3	a	a	DET
cord-186927-b8i85vo7	107	4	balance	balance	NOUN
cord-186927-b8i85vo7	107	5	has	have	VERB
cord-186927-b8i85vo7	107	6	to	to	PART
cord-186927-b8i85vo7	107	7	be	be	AUX
cord-186927-b8i85vo7	107	8	stricken	stricken	VERB
cord-186927-b8i85vo7	107	9	between	between	ADP
cord-186927-b8i85vo7	107	10	the	the	DET
cord-186927-b8i85vo7	107	11	severity	severity	NOUN
cord-186927-b8i85vo7	107	12	of	of	ADP
cord-186927-b8i85vo7	107	13	penalties	penalty	NOUN
cord-186927-b8i85vo7	107	14	or	or	CCONJ
cord-186927-b8i85vo7	107	15	other	other	ADJ
cord-186927-b8i85vo7	107	16	type	type	NOUN
cord-186927-b8i85vo7	107	17	of	of	ADP
cord-186927-b8i85vo7	107	18	incentives	incentive	NOUN
cord-186927-b8i85vo7	107	19	to	to	PART
cord-186927-b8i85vo7	107	20	help	help	VERB
cord-186927-b8i85vo7	107	21	reduce	reduce	VERB
cord-186927-b8i85vo7	107	22	the	the	DET
cord-186927-b8i85vo7	107	23	propagation	propagation	NOUN
cord-186927-b8i85vo7	107	24	of	of	ADP
cord-186927-b8i85vo7	107	25	the	the	DET
cord-186927-b8i85vo7	107	26	disease	disease	NOUN
cord-186927-b8i85vo7	107	27	,	,	PUNCT
cord-186927-b8i85vo7	107	28	and	and	CCONJ
cord-186927-b8i85vo7	107	29	the	the	DET
cord-186927-b8i85vo7	107	30	natural	natural	ADJ
cord-186927-b8i85vo7	107	31	yearning	yearning	NOUN
cord-186927-b8i85vo7	107	32	of	of	ADP
cord-186927-b8i85vo7	107	33	citizens	citizen	NOUN
cord-186927-b8i85vo7	107	34	for	for	ADP
cord-186927-b8i85vo7	107	35	interactions	interaction	NOUN
cord-186927-b8i85vo7	107	36	.	.	PUNCT
cord-186927-b8i85vo7	108	1	to	to	ADP
cord-186927-b8i85vo7	108	2	the	the	DET
cord-186927-b8i85vo7	108	3	best	good	ADJ
cord-186927-b8i85vo7	108	4	of	of	ADP
cord-186927-b8i85vo7	108	5	our	our	PRON
cord-186927-b8i85vo7	108	6	knowledge	knowledge	NOUN
cord-186927-b8i85vo7	108	7	,	,	PUNCT
cord-186927-b8i85vo7	108	8	no	no	DET
cord-186927-b8i85vo7	108	9	real	real	ADJ
cord-186927-b8i85vo7	108	10	calibration	calibration	NOUN
cord-186927-b8i85vo7	108	11	,	,	PUNCT
cord-186927-b8i85vo7	108	12	founded	found	VERB
cord-186927-b8i85vo7	108	13	on	on	ADP
cord-186927-b8i85vo7	108	14	quantitative	quantitative	ADJ
cord-186927-b8i85vo7	108	15	criteria	criterion	NOUN
cord-186927-b8i85vo7	108	16	,	,	PUNCT
cord-186927-b8i85vo7	108	17	of	of	ADP
cord-186927-b8i85vo7	108	18	appropriate	appropriate	ADJ
cord-186927-b8i85vo7	108	19	incentive	incentive	NOUN
cord-186927-b8i85vo7	108	20	policies	policy	NOUN
cord-186927-b8i85vo7	108	21	has	have	AUX
cord-186927-b8i85vo7	108	22	been	be	AUX
cord-186927-b8i85vo7	108	23	investigated	investigate	VERB
cord-186927-b8i85vo7	108	24	in	in	ADP
cord-186927-b8i85vo7	108	25	epidemiological	epidemiological	ADJ
cord-186927-b8i85vo7	108	26	models	model	NOUN
cord-186927-b8i85vo7	108	27	.	.	PUNCT
cord-186927-b8i85vo7	109	1	2	2	NUM
cord-186927-b8i85vo7	109	2	the	the	DET
cord-186927-b8i85vo7	109	3	present	present	ADJ
cord-186927-b8i85vo7	109	4	paper	paper	NOUN
cord-186927-b8i85vo7	109	5	proposes	propose	VERB
cord-186927-b8i85vo7	109	6	to	to	PART
cord-186927-b8i85vo7	109	7	fulfil	fulfil	VERB
cord-186927-b8i85vo7	109	8	this	this	DET
cord-186927-b8i85vo7	109	9	gap	gap	NOUN
cord-186927-b8i85vo7	109	10	by	by	ADP
cord-186927-b8i85vo7	109	11	studying	study	VERB
cord-186927-b8i85vo7	109	12	how	how	SCONJ
cord-186927-b8i85vo7	109	13	a	a	DET
cord-186927-b8i85vo7	109	14	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	109	15	policy	policy	NOUN
cord-186927-b8i85vo7	109	16	,	,	PUNCT
cord-186927-b8i85vo7	109	17	seen	see	VERB
cord-186927-b8i85vo7	109	18	as	as	ADP
cord-186927-b8i85vo7	109	19	a	a	DET
cord-186927-b8i85vo7	109	20	suppression	suppression	NOUN
cord-186927-b8i85vo7	109	21	strategy	strategy	NOUN
cord-186927-b8i85vo7	109	22	to	to	PART
cord-186927-b8i85vo7	109	23	echo	echo	VERB
cord-186927-b8i85vo7	109	24	[	[	PUNCT
cord-186927-b8i85vo7	109	25	40	40	NUM
cord-186927-b8i85vo7	109	26	]	]	PUNCT
cord-186927-b8i85vo7	109	27	,	,	PUNCT
cord-186927-b8i85vo7	109	28	can	can	AUX
cord-186927-b8i85vo7	109	29	limit	limit	VERB
cord-186927-b8i85vo7	109	30	the	the	DET
cord-186927-b8i85vo7	109	31	number	number	NOUN
cord-186927-b8i85vo7	109	32	of	of	ADP
cord-186927-b8i85vo7	109	33	infected	infected	ADJ
cord-186927-b8i85vo7	109	34	people	people	NOUN
cord-186927-b8i85vo7	109	35	during	during	ADP
cord-186927-b8i85vo7	109	36	an	an	DET
cord-186927-b8i85vo7	109	37	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	109	38	,	,	PUNCT
cord-186927-b8i85vo7	109	39	with	with	ADP
cord-186927-b8i85vo7	109	40	uncertainties	uncertainty	NOUN
cord-186927-b8i85vo7	109	41	on	on	ADP
cord-186927-b8i85vo7	109	42	the	the	DET
cord-186927-b8i85vo7	109	43	actual	actual	ADJ
cord-186927-b8i85vo7	109	44	number	number	NOUN
cord-186927-b8i85vo7	109	45	of	of	ADP
cord-186927-b8i85vo7	109	46	affected	affected	ADJ
cord-186927-b8i85vo7	109	47	individuals	individual	NOUN
cord-186927-b8i85vo7	109	48	,	,	PUNCT
cord-186927-b8i85vo7	109	49	and	and	CCONJ
cord-186927-b8i85vo7	109	50	on	on	ADP
cord-186927-b8i85vo7	109	51	their	their	PRON
cord-186927-b8i85vo7	109	52	level	level	NOUN
cord-186927-b8i85vo7	109	53	of	of	ADP
cord-186927-b8i85vo7	109	54	adherence	adherence	NOUN
cord-186927-b8i85vo7	109	55	to	to	ADP
cord-186927-b8i85vo7	109	56	such	such	DET
cord-186927-b8i85vo7	109	57	a	a	DET
cord-186927-b8i85vo7	109	58	policy	policy	NOUN
cord-186927-b8i85vo7	109	59	.	.	PUNCT
cord-186927-b8i85vo7	110	1	more	more	ADV
cord-186927-b8i85vo7	110	2	specially	specially	ADV
cord-186927-b8i85vo7	110	3	,	,	PUNCT
cord-186927-b8i85vo7	110	4	we	we	PRON
cord-186927-b8i85vo7	110	5	aim	aim	VERB
cord-186927-b8i85vo7	110	6	at	at	ADP
cord-186927-b8i85vo7	110	7	solving	solve	VERB
cord-186927-b8i85vo7	110	8	this	this	DET
cord-186927-b8i85vo7	110	9	moral	moral	ADJ
cord-186927-b8i85vo7	110	10	hazard	hazard	NOUN
cord-186927-b8i85vo7	110	11	problem	problem	NOUN
cord-186927-b8i85vo7	110	12	by	by	ADP
cord-186927-b8i85vo7	110	13	finding	find	VERB
cord-186927-b8i85vo7	110	14	(	(	PUNCT
cord-186927-b8i85vo7	110	15	i	i	NOUN
cord-186927-b8i85vo7	110	16	)	)	PUNCT
cord-186927-b8i85vo7	110	17	the	the	DET
cord-186927-b8i85vo7	110	18	best	good	ADJ
cord-186927-b8i85vo7	110	19	reaction	reaction	NOUN
cord-186927-b8i85vo7	110	20	effort	effort	NOUN
cord-186927-b8i85vo7	110	21	of	of	ADP
cord-186927-b8i85vo7	110	22	the	the	DET
cord-186927-b8i85vo7	110	23	population	population	NOUN
cord-186927-b8i85vo7	110	24	to	to	PART
cord-186927-b8i85vo7	110	25	reduce	reduce	VERB
cord-186927-b8i85vo7	110	26	the	the	DET
cord-186927-b8i85vo7	110	27	interaction	interaction	NOUN
cord-186927-b8i85vo7	110	28	given	give	VERB
cord-186927-b8i85vo7	110	29	a	a	DET
cord-186927-b8i85vo7	110	30	specific	specific	ADJ
cord-186927-b8i85vo7	110	31	government	government	NOUN
cord-186927-b8i85vo7	110	32	policy	policy	NOUN
cord-186927-b8i85vo7	110	33	;	;	PUNCT
cord-186927-b8i85vo7	110	34	(	(	PUNCT
cord-186927-b8i85vo7	110	35	ii	ii	PROPN
cord-186927-b8i85vo7	110	36	)	)	PUNCT
cord-186927-b8i85vo7	110	37	the	the	DET
cord-186927-b8i85vo7	110	38	optimal	optimal	ADJ
cord-186927-b8i85vo7	110	39	policy	policy	NOUN
cord-186927-b8i85vo7	110	40	composed	compose	VERB
cord-186927-b8i85vo7	110	41	by	by	ADP
cord-186927-b8i85vo7	110	42	an	an	DET
cord-186927-b8i85vo7	110	43	aggregated	aggregated	ADJ
cord-186927-b8i85vo7	110	44	tax	tax	NOUN
cord-186927-b8i85vo7	110	45	paid	pay	VERB
cord-186927-b8i85vo7	110	46	by	by	ADP
cord-186927-b8i85vo7	110	47	the	the	DET
cord-186927-b8i85vo7	110	48	population	population	NOUN
cord-186927-b8i85vo7	110	49	at	at	ADP
cord-186927-b8i85vo7	110	50	some	some	DET
cord-186927-b8i85vo7	110	51	fixed	fix	VERB
cord-186927-b8i85vo7	110	52	maturity	maturity	NOUN
cord-186927-b8i85vo7	110	53	,	,	PUNCT
cord-186927-b8i85vo7	110	54	and	and	CCONJ
cord-186927-b8i85vo7	110	55	a	a	DET
cord-186927-b8i85vo7	110	56	testing	testing	NOUN
cord-186927-b8i85vo7	110	57	policy	policy	NOUN
cord-186927-b8i85vo7	110	58	to	to	PART
cord-186927-b8i85vo7	110	59	reduce	reduce	VERB
cord-186927-b8i85vo7	110	60	the	the	DET
cord-186927-b8i85vo7	110	61	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	110	62	on	on	ADP
cord-186927-b8i85vo7	110	63	the	the	DET
cord-186927-b8i85vo7	110	64	estimated	estimate	VERB
cord-186927-b8i85vo7	110	65	number	number	NOUN
cord-186927-b8i85vo7	110	66	of	of	ADP
cord-186927-b8i85vo7	110	67	infected	infected	ADJ
cord-186927-b8i85vo7	110	68	people	people	NOUN
cord-186927-b8i85vo7	110	69	.	.	PUNCT
cord-186927-b8i85vo7	111	1	as	as	SCONJ
cord-186927-b8i85vo7	111	2	we	we	PRON
cord-186927-b8i85vo7	111	3	already	already	ADV
cord-186927-b8i85vo7	111	4	mentioned	mention	VERB
cord-186927-b8i85vo7	111	5	,	,	PUNCT
cord-186927-b8i85vo7	111	6	this	this	DET
cord-186927-b8i85vo7	111	7	problem	problem	NOUN
cord-186927-b8i85vo7	111	8	perfectly	perfectly	ADV
cord-186927-b8i85vo7	111	9	fits	fit	VERB
cord-186927-b8i85vo7	111	10	with	with	ADP
cord-186927-b8i85vo7	111	11	a	a	DET
cord-186927-b8i85vo7	111	12	classical	classical	ADJ
cord-186927-b8i85vo7	111	13	principal	principal	ADJ
cord-186927-b8i85vo7	111	14	-	-	PUNCT
cord-186927-b8i85vo7	111	15	agent	agent	NOUN
cord-186927-b8i85vo7	111	16	problem	problem	NOUN
cord-186927-b8i85vo7	111	17	with	with	ADP
cord-186927-b8i85vo7	111	18	moral	moral	ADJ
cord-186927-b8i85vo7	111	19	hazard	hazard	NOUN
cord-186927-b8i85vo7	111	20	,	,	PUNCT
cord-186927-b8i85vo7	111	21	and	and	CCONJ
cord-186927-b8i85vo7	111	22	boils	boil	VERB
cord-186927-b8i85vo7	111	23	down	down	ADP
cord-186927-b8i85vo7	111	24	to	to	ADP
cord-186927-b8i85vo7	111	25	finding	find	VERB
cord-186927-b8i85vo7	111	26	a	a	DET
cord-186927-b8i85vo7	111	27	stackelberg	stackelberg	PROPN
cord-186927-b8i85vo7	111	28	equilibrium	equilibrium	NOUN
cord-186927-b8i85vo7	111	29	between	between	ADP
cord-186927-b8i85vo7	111	30	the	the	DET
cord-186927-b8i85vo7	111	31	principal	principal	NOUN
cord-186927-b8i85vo7	111	32	(	(	PUNCT
cord-186927-b8i85vo7	111	33	the	the	DET
cord-186927-b8i85vo7	111	34	leader	leader	NOUN
cord-186927-b8i85vo7	111	35	,	,	PUNCT
cord-186927-b8i85vo7	111	36	here	here	ADV
cord-186927-b8i85vo7	111	37	the	the	DET
cord-186927-b8i85vo7	111	38	government	government	NOUN
cord-186927-b8i85vo7	111	39	)	)	PUNCT
cord-186927-b8i85vo7	111	40	proposing	propose	VERB
cord-186927-b8i85vo7	111	41	a	a	DET
cord-186927-b8i85vo7	111	42	policy	policy	NOUN
cord-186927-b8i85vo7	111	43	to	to	ADP
cord-186927-b8i85vo7	111	44	an	an	DET
cord-186927-b8i85vo7	111	45	agent	agent	NOUN
cord-186927-b8i85vo7	111	46	(	(	PUNCT
cord-186927-b8i85vo7	111	47	the	the	DET
cord-186927-b8i85vo7	111	48	follower	follower	NOUN
cord-186927-b8i85vo7	111	49	,	,	PUNCT
cord-186927-b8i85vo7	111	50	here	here	ADV
cord-186927-b8i85vo7	111	51	the	the	DET
cord-186927-b8i85vo7	111	52	population	population	NOUN
cord-186927-b8i85vo7	111	53	)	)	PUNCT
cord-186927-b8i85vo7	111	54	to	to	PART
cord-186927-b8i85vo7	111	55	interact	interact	VERB
cord-186927-b8i85vo7	111	56	optimally	optimally	ADV
cord-186927-b8i85vo7	111	57	in	in	ADP
cord-186927-b8i85vo7	111	58	order	order	NOUN
cord-186927-b8i85vo7	111	59	to	to	PART
cord-186927-b8i85vo7	111	60	reduce	reduce	VERB
cord-186927-b8i85vo7	111	61	the	the	DET
cord-186927-b8i85vo7	111	62	spread	spread	NOUN
cord-186927-b8i85vo7	111	63	of	of	ADP
cord-186927-b8i85vo7	111	64	the	the	DET
cord-186927-b8i85vo7	111	65	disease	disease	NOUN
cord-186927-b8i85vo7	111	66	.	.	PUNCT
cord-186927-b8i85vo7	112	1	principal	principal	ADJ
cord-186927-b8i85vo7	112	2	-	-	PUNCT
cord-186927-b8i85vo7	112	3	agent	agent	NOUN
cord-186927-b8i85vo7	112	4	problems	problem	NOUN
cord-186927-b8i85vo7	112	5	have	have	VERB
cord-186927-b8i85vo7	112	6	a	a	DET
cord-186927-b8i85vo7	112	7	long	long	ADJ
cord-186927-b8i85vo7	112	8	history	history	NOUN
cord-186927-b8i85vo7	112	9	in	in	ADP
cord-186927-b8i85vo7	112	10	the	the	DET
cord-186927-b8i85vo7	112	11	economics	economic	NOUN
cord-186927-b8i85vo7	112	12	literature	literature	NOUN
cord-186927-b8i85vo7	112	13	,	,	PUNCT
cord-186927-b8i85vo7	112	14	dating	date	VERB
cord-186927-b8i85vo7	112	15	back	back	ADV
cord-186927-b8i85vo7	112	16	from	from	ADP
cord-186927-b8i85vo7	112	17	,	,	PUNCT
cord-186927-b8i85vo7	112	18	at	at	ADP
cord-186927-b8i85vo7	112	19	least	least	ADJ
cord-186927-b8i85vo7	112	20	,	,	PUNCT
cord-186927-b8i85vo7	112	21	the	the	DET
cord-186927-b8i85vo7	112	22	60s	60	NOUN
cord-186927-b8i85vo7	112	23	.	.	PUNCT
cord-186927-b8i85vo7	113	1	it	it	PRON
cord-186927-b8i85vo7	113	2	is	be	AUX
cord-186927-b8i85vo7	113	3	not	not	PART
cord-186927-b8i85vo7	113	4	our	our	PRON
cord-186927-b8i85vo7	113	5	goal	goal	NOUN
cord-186927-b8i85vo7	113	6	here	here	ADV
cord-186927-b8i85vo7	113	7	to	to	PART
cord-186927-b8i85vo7	113	8	review	review	VERB
cord-186927-b8i85vo7	113	9	the	the	DET
cord-186927-b8i85vo7	113	10	whole	whole	ADJ
cord-186927-b8i85vo7	113	11	literature	literature	NOUN
cord-186927-b8i85vo7	113	12	on	on	ADP
cord-186927-b8i85vo7	113	13	the	the	DET
cord-186927-b8i85vo7	113	14	subject	subject	NOUN
cord-186927-b8i85vo7	113	15	,	,	PUNCT
cord-186927-b8i85vo7	113	16	and	and	CCONJ
cord-186927-b8i85vo7	113	17	we	we	PRON
cord-186927-b8i85vo7	113	18	refer	refer	VERB
cord-186927-b8i85vo7	113	19	the	the	DET
cord-186927-b8i85vo7	113	20	interested	interested	ADJ
cord-186927-b8i85vo7	113	21	reader	reader	NOUN
cord-186927-b8i85vo7	113	22	to	to	ADP
cord-186927-b8i85vo7	113	23	the	the	DET
cord-186927-b8i85vo7	113	24	seminal	seminal	ADJ
cord-186927-b8i85vo7	113	25	books	book	NOUN
cord-186927-b8i85vo7	113	26	by	by	ADP
cord-186927-b8i85vo7	113	27	laffont	laffont	PROPN
cord-186927-b8i85vo7	113	28	and	and	CCONJ
cord-186927-b8i85vo7	113	29	martimort	martimort	NOUN
cord-186927-b8i85vo7	114	1	[	[	PUNCT
cord-186927-b8i85vo7	114	2	68	68	NUM
cord-186927-b8i85vo7	114	3	]	]	PUNCT
cord-186927-b8i85vo7	114	4	,	,	PUNCT
cord-186927-b8i85vo7	114	5	bolton	bolton	PROPN
cord-186927-b8i85vo7	114	6	and	and	CCONJ
cord-186927-b8i85vo7	114	7	dewatripont	dewatripont	NOUN
cord-186927-b8i85vo7	114	8	[	[	PUNCT
cord-186927-b8i85vo7	114	9	19	19	NUM
cord-186927-b8i85vo7	114	10	]	]	PUNCT
cord-186927-b8i85vo7	114	11	,	,	PUNCT
cord-186927-b8i85vo7	114	12	or	or	CCONJ
cord-186927-b8i85vo7	114	13	salanié	salanié	NOUN
cord-186927-b8i85vo7	114	14	[	[	PUNCT
cord-186927-b8i85vo7	114	15	91	91	NUM
cord-186927-b8i85vo7	114	16	]	]	PUNCT
cord-186927-b8i85vo7	114	17	.	.	PUNCT
cord-186927-b8i85vo7	115	1	for	for	ADP
cord-186927-b8i85vo7	115	2	our	our	PRON
cord-186927-b8i85vo7	115	3	purpose	purpose	NOUN
cord-186927-b8i85vo7	115	4	here	here	ADV
cord-186927-b8i85vo7	115	5	,	,	PUNCT
cord-186927-b8i85vo7	115	6	we	we	PRON
cord-186927-b8i85vo7	115	7	will	will	AUX
cord-186927-b8i85vo7	115	8	content	content	VERB
cord-186927-b8i85vo7	115	9	ourselves	ourselves	PRON
cord-186927-b8i85vo7	115	10	to	to	PART
cord-186927-b8i85vo7	115	11	mention	mention	VERB
cord-186927-b8i85vo7	115	12	that	that	SCONJ
cord-186927-b8i85vo7	115	13	this	this	DET
cord-186927-b8i85vo7	115	14	literature	literature	NOUN
cord-186927-b8i85vo7	115	15	regained	regain	VERB
cord-186927-b8i85vo7	115	16	a	a	DET
cord-186927-b8i85vo7	115	17	strong	strong	ADJ
cord-186927-b8i85vo7	115	18	momentum	momentum	NOUN
cord-186927-b8i85vo7	115	19	in	in	ADP
cord-186927-b8i85vo7	115	20	the	the	DET
cord-186927-b8i85vo7	115	21	past	past	ADJ
cord-186927-b8i85vo7	115	22	two	two	NUM
cord-186927-b8i85vo7	115	23	decades	decade	NOUN
cord-186927-b8i85vo7	115	24	,	,	PUNCT
cord-186927-b8i85vo7	115	25	where	where	SCONJ
cord-186927-b8i85vo7	115	26	continuoustime	continuoustime	ADJ
cord-186927-b8i85vo7	115	27	models	model	NOUN
cord-186927-b8i85vo7	115	28	where	where	SCONJ
cord-186927-b8i85vo7	115	29	developed	develop	VERB
cord-186927-b8i85vo7	115	30	and	and	CCONJ
cord-186927-b8i85vo7	115	31	showed	show	VERB
cord-186927-b8i85vo7	115	32	to	to	PART
cord-186927-b8i85vo7	115	33	be	be	AUX
cord-186927-b8i85vo7	115	34	more	more	ADV
cord-186927-b8i85vo7	115	35	flexible	flexible	ADJ
cord-186927-b8i85vo7	115	36	and	and	CCONJ
cord-186927-b8i85vo7	115	37	tractable	tractable	ADJ
cord-186927-b8i85vo7	115	38	than	than	ADP
cord-186927-b8i85vo7	115	39	the	the	DET
cord-186927-b8i85vo7	115	40	earlier	early	ADJ
cord-186927-b8i85vo7	115	41	static	static	ADJ
cord-186927-b8i85vo7	115	42	or	or	CCONJ
cord-186927-b8i85vo7	115	43	discrete	discrete	ADJ
cord-186927-b8i85vo7	115	44	-	-	PUNCT
cord-186927-b8i85vo7	115	45	time	time	NOUN
cord-186927-b8i85vo7	115	46	models	model	NOUN
cord-186927-b8i85vo7	115	47	.	.	PUNCT
cord-186927-b8i85vo7	116	1	main	main	ADJ
cord-186927-b8i85vo7	116	2	contributors	contributor	NOUN
cord-186927-b8i85vo7	116	3	in	in	ADP
cord-186927-b8i85vo7	116	4	these	these	DET
cord-186927-b8i85vo7	116	5	regards	regard	NOUN
cord-186927-b8i85vo7	116	6	are	be	AUX
cord-186927-b8i85vo7	116	7	holmström	holmström	ADJ
cord-186927-b8i85vo7	116	8	and	and	CCONJ
cord-186927-b8i85vo7	116	9	milgrom	milgrom	NOUN
cord-186927-b8i85vo7	116	10	,	,	PUNCT
cord-186927-b8i85vo7	116	11	[	[	X
cord-186927-b8i85vo7	116	12	55	55	NUM
cord-186927-b8i85vo7	116	13	]	]	PUNCT
cord-186927-b8i85vo7	116	14	,	,	PUNCT
cord-186927-b8i85vo7	116	15	schättler	schättler	PROPN
cord-186927-b8i85vo7	116	16	and	and	CCONJ
cord-186927-b8i85vo7	116	17	sung	sing	VERB
cord-186927-b8i85vo7	116	18	[	[	X
cord-186927-b8i85vo7	116	19	95	95	NUM
cord-186927-b8i85vo7	116	20	]	]	PUNCT
cord-186927-b8i85vo7	116	21	,	,	PUNCT
cord-186927-b8i85vo7	116	22	sannikov	sannikov	PROPN
cord-186927-b8i85vo7	117	1	[	[	X
cord-186927-b8i85vo7	117	2	93	93	NUM
cord-186927-b8i85vo7	117	3	]	]	PUNCT
cord-186927-b8i85vo7	117	4	,	,	PUNCT
cord-186927-b8i85vo7	117	5	williams	williams	PROPN
cord-186927-b8i85vo7	118	1	[	[	X
cord-186927-b8i85vo7	118	2	109	109	NUM
cord-186927-b8i85vo7	118	3	]	]	PUNCT
cord-186927-b8i85vo7	118	4	,	,	PUNCT
cord-186927-b8i85vo7	118	5	see	see	VERB
cord-186927-b8i85vo7	118	6	also	also	ADV
cord-186927-b8i85vo7	118	7	the	the	DET
cord-186927-b8i85vo7	118	8	monograph	monograph	NOUN
cord-186927-b8i85vo7	118	9	by	by	ADP
cord-186927-b8i85vo7	118	10	cvitanić	cvitanić	PROPN
cord-186927-b8i85vo7	118	11	and	and	CCONJ
cord-186927-b8i85vo7	118	12	zhang	zhang	PROPN
cord-186927-b8i85vo7	119	1	[	[	PUNCT
cord-186927-b8i85vo7	119	2	27	27	NUM
cord-186927-b8i85vo7	119	3	]	]	PUNCT
cord-186927-b8i85vo7	119	4	.	.	PUNCT
cord-186927-b8i85vo7	120	1	more	more	ADV
cord-186927-b8i85vo7	120	2	recently	recently	ADV
cord-186927-b8i85vo7	120	3	,	,	PUNCT
cord-186927-b8i85vo7	120	4	cvitanić	cvitanić	PROPN
cord-186927-b8i85vo7	120	5	,	,	PUNCT
cord-186927-b8i85vo7	120	6	possamaï	possamaï	NOUN
cord-186927-b8i85vo7	120	7	,	,	PUNCT
cord-186927-b8i85vo7	120	8	and	and	CCONJ
cord-186927-b8i85vo7	120	9	touzi	touzi	PROPN
cord-186927-b8i85vo7	121	1	[	[	PUNCT
cord-186927-b8i85vo7	121	2	28	28	NUM
cord-186927-b8i85vo7	121	3	;	;	PUNCT
cord-186927-b8i85vo7	121	4	29	29	NUM
cord-186927-b8i85vo7	121	5	]	]	PUNCT
cord-186927-b8i85vo7	121	6	developed	develop	VERB
cord-186927-b8i85vo7	121	7	a	a	DET
cord-186927-b8i85vo7	121	8	general	general	ADJ
cord-186927-b8i85vo7	121	9	theory	theory	NOUN
cord-186927-b8i85vo7	121	10	allowing	allow	VERB
cord-186927-b8i85vo7	121	11	to	to	PART
cord-186927-b8i85vo7	121	12	tackle	tackle	VERB
cord-186927-b8i85vo7	121	13	a	a	DET
cord-186927-b8i85vo7	121	14	great	great	ADJ
cord-186927-b8i85vo7	121	15	number	number	NOUN
cord-186927-b8i85vo7	121	16	of	of	ADP
cord-186927-b8i85vo7	121	17	contract	contract	NOUN
cord-186927-b8i85vo7	121	18	-	-	PUNCT
cord-186927-b8i85vo7	121	19	theory	theory	NOUN
cord-186927-b8i85vo7	121	20	problem	problem	NOUN
cord-186927-b8i85vo7	121	21	,	,	PUNCT
cord-186927-b8i85vo7	121	22	which	which	PRON
cord-186927-b8i85vo7	121	23	has	have	AUX
cord-186927-b8i85vo7	121	24	been	be	AUX
cord-186927-b8i85vo7	121	25	then	then	ADV
cord-186927-b8i85vo7	121	26	extended	extend	VERB
cord-186927-b8i85vo7	121	27	and	and	CCONJ
cord-186927-b8i85vo7	121	28	applied	apply	VERB
cord-186927-b8i85vo7	121	29	in	in	ADP
cord-186927-b8i85vo7	121	30	many	many	ADJ
cord-186927-b8i85vo7	121	31	different	different	ADJ
cord-186927-b8i85vo7	121	32	situations	situation	NOUN
cord-186927-b8i85vo7	121	33	3	3	NUM
cord-186927-b8i85vo7	121	34	.	.	PUNCT
cord-186927-b8i85vo7	122	1	the	the	DET
cord-186927-b8i85vo7	122	2	basic	basic	ADJ
cord-186927-b8i85vo7	122	3	idea	idea	NOUN
cord-186927-b8i85vo7	122	4	is	be	AUX
cord-186927-b8i85vo7	122	5	to	to	PART
cord-186927-b8i85vo7	122	6	identify	identify	VERB
cord-186927-b8i85vo7	122	7	a	a	DET
cord-186927-b8i85vo7	122	8	sub	sub	NOUN
cord-186927-b8i85vo7	122	9	-	-	NOUN
cord-186927-b8i85vo7	122	10	class	class	NOUN
cord-186927-b8i85vo7	122	11	of	of	ADP
cord-186927-b8i85vo7	122	12	contracts	contract	NOUN
cord-186927-b8i85vo7	122	13	offered	offer	VERB
cord-186927-b8i85vo7	122	14	by	by	ADP
cord-186927-b8i85vo7	122	15	the	the	DET
cord-186927-b8i85vo7	122	16	principal	principal	NOUN
cord-186927-b8i85vo7	122	17	,	,	PUNCT
cord-186927-b8i85vo7	122	18	which	which	PRON
cord-186927-b8i85vo7	122	19	are	be	AUX
cord-186927-b8i85vo7	122	20	revealing	reveal	VERB
cord-186927-b8i85vo7	122	21	in	in	ADP
cord-186927-b8i85vo7	122	22	the	the	DET
cord-186927-b8i85vo7	122	23	sense	sense	NOUN
cord-186927-b8i85vo7	122	24	that	that	SCONJ
cord-186927-b8i85vo7	122	25	the	the	DET
cord-186927-b8i85vo7	122	26	best	good	ADJ
cord-186927-b8i85vo7	122	27	-	-	PUNCT
cord-186927-b8i85vo7	122	28	reaction	reaction	NOUN
cord-186927-b8i85vo7	122	29	function	function	NOUN
cord-186927-b8i85vo7	122	30	of	of	ADP
cord-186927-b8i85vo7	122	31	the	the	DET
cord-186927-b8i85vo7	122	32	agent	agent	NOUN
cord-186927-b8i85vo7	122	33	,	,	PUNCT
cord-186927-b8i85vo7	122	34	and	and	CCONJ
cord-186927-b8i85vo7	122	35	his	his	PRON
cord-186927-b8i85vo7	122	36	optimal	optimal	ADJ
cord-186927-b8i85vo7	122	37	control	control	NOUN
cord-186927-b8i85vo7	122	38	,	,	PUNCT
cord-186927-b8i85vo7	122	39	can	can	AUX
cord-186927-b8i85vo7	122	40	be	be	AUX
cord-186927-b8i85vo7	122	41	computed	compute	VERB
cord-186927-b8i85vo7	122	42	straightforwardly	straightforwardly	ADV
cord-186927-b8i85vo7	122	43	,	,	PUNCT
cord-186927-b8i85vo7	122	44	and	and	CCONJ
cord-186927-b8i85vo7	122	45	then	then	ADV
cord-186927-b8i85vo7	122	46	proving	prove	VERB
cord-186927-b8i85vo7	122	47	that	that	PRON
cord-186927-b8i85vo7	122	48	restricting	restrict	VERB
cord-186927-b8i85vo7	122	49	one	one	PRON
cord-186927-b8i85vo7	122	50	's	's	PART
cord-186927-b8i85vo7	122	51	attention	attention	NOUN
cord-186927-b8i85vo7	122	52	to	to	ADP
cord-186927-b8i85vo7	122	53	this	this	DET
cord-186927-b8i85vo7	122	54	class	class	NOUN
cord-186927-b8i85vo7	122	55	is	be	AUX
cord-186927-b8i85vo7	122	56	without	without	ADP
cord-186927-b8i85vo7	122	57	loss	loss	NOUN
cord-186927-b8i85vo7	122	58	of	of	ADP
cord-186927-b8i85vo7	122	59	generality	generality	NOUN
cord-186927-b8i85vo7	122	60	.	.	PUNCT
cord-186927-b8i85vo7	123	1	with	with	ADP
cord-186927-b8i85vo7	123	2	this	this	DET
cord-186927-b8i85vo7	123	3	approach	approach	NOUN
cord-186927-b8i85vo7	123	4	,	,	PUNCT
cord-186927-b8i85vo7	123	5	the	the	DET
cord-186927-b8i85vo7	123	6	problem	problem	NOUN
cord-186927-b8i85vo7	123	7	faced	face	VERB
cord-186927-b8i85vo7	123	8	by	by	ADP
cord-186927-b8i85vo7	123	9	the	the	DET
cord-186927-b8i85vo7	123	10	principal	principal	NOUN
cord-186927-b8i85vo7	123	11	now	now	ADV
cord-186927-b8i85vo7	123	12	becomes	become	VERB
cord-186927-b8i85vo7	123	13	a	a	DET
cord-186927-b8i85vo7	123	14	standard	standard	ADJ
cord-186927-b8i85vo7	123	15	optimal	optimal	ADJ
cord-186927-b8i85vo7	123	16	control	control	NOUN
cord-186927-b8i85vo7	123	17	problem	problem	NOUN
cord-186927-b8i85vo7	123	18	.	.	PUNCT
cord-186927-b8i85vo7	124	1	there	there	PRON
cord-186927-b8i85vo7	124	2	are	be	VERB
cord-186927-b8i85vo7	124	3	however	however	ADV
cord-186927-b8i85vo7	124	4	two	two	NUM
cord-186927-b8i85vo7	124	5	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	124	6	assumptions	assumption	NOUN
cord-186927-b8i85vo7	124	7	for	for	ADP
cord-186927-b8i85vo7	124	8	this	this	DET
cord-186927-b8i85vo7	124	9	theory	theory	NOUN
cord-186927-b8i85vo7	124	10	to	to	PART
cord-186927-b8i85vo7	124	11	work	work	VERB
cord-186927-b8i85vo7	124	12	,	,	PUNCT
cord-186927-b8i85vo7	124	13	one	one	NUM
cord-186927-b8i85vo7	124	14	of	of	ADP
cord-186927-b8i85vo7	124	15	them	they	PRON
cord-186927-b8i85vo7	124	16	being	be	AUX
cord-186927-b8i85vo7	124	17	a	a	DET
cord-186927-b8i85vo7	124	18	specific	specific	ADJ
cord-186927-b8i85vo7	124	19	structure	structure	NOUN
cord-186927-b8i85vo7	124	20	condition	condition	NOUN
cord-186927-b8i85vo7	124	21	,	,	PUNCT
cord-186927-b8i85vo7	124	22	which	which	PRON
cord-186927-b8i85vo7	124	23	enforces	enforce	VERB
cord-186927-b8i85vo7	124	24	that	that	SCONJ
cord-186927-b8i85vo7	124	25	the	the	DET
cord-186927-b8i85vo7	124	26	drift	drift	NOUN
cord-186927-b8i85vo7	124	27	of	of	ADP
cord-186927-b8i85vo7	124	28	the	the	DET
cord-186927-b8i85vo7	124	29	process	process	NOUN
cord-186927-b8i85vo7	124	30	controlled	control	VERB
cord-186927-b8i85vo7	124	31	by	by	ADP
cord-186927-b8i85vo7	124	32	the	the	DET
cord-186927-b8i85vo7	124	33	agent	agent	NOUN
cord-186927-b8i85vo7	124	34	,	,	PUNCT
cord-186927-b8i85vo7	124	35	meaning	mean	VERB
cord-186927-b8i85vo7	124	36	here	here	ADV
cord-186927-b8i85vo7	124	37	for	for	ADP
cord-186927-b8i85vo7	124	38	us	we	PRON
cord-186927-b8i85vo7	124	39	the	the	DET
cord-186927-b8i85vo7	124	40	pair	pair	NOUN
cord-186927-b8i85vo7	124	41	(	(	PUNCT
cord-186927-b8i85vo7	124	42	s	s	PROPN
cord-186927-b8i85vo7	124	43	,	,	PUNCT
cord-186927-b8i85vo7	124	44	i	i	NOUN
cord-186927-b8i85vo7	124	45	)	)	PUNCT
cord-186927-b8i85vo7	124	46	giving	give	VERB
cord-186927-b8i85vo7	124	47	the	the	DET
cord-186927-b8i85vo7	124	48	number	number	NOUN
cord-186927-b8i85vo7	124	49	of	of	ADP
cord-186927-b8i85vo7	124	50	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	124	51	and	and	CCONJ
cord-186927-b8i85vo7	124	52	infected	infected	ADJ
cord-186927-b8i85vo7	124	53	people	people	NOUN
cord-186927-b8i85vo7	124	54	in	in	ADP
cord-186927-b8i85vo7	124	55	the	the	DET
cord-186927-b8i85vo7	124	56	population	population	NOUN
cord-186927-b8i85vo7	124	57	,	,	PUNCT
cord-186927-b8i85vo7	124	58	must	must	AUX
cord-186927-b8i85vo7	124	59	be	be	AUX
cord-186927-b8i85vo7	124	60	in	in	ADP
cord-186927-b8i85vo7	124	61	the	the	DET
cord-186927-b8i85vo7	124	62	range	range	NOUN
cord-186927-b8i85vo7	124	63	of	of	ADP
cord-186927-b8i85vo7	124	64	the	the	DET
cord-186927-b8i85vo7	124	65	volatility	volatility	NOUN
cord-186927-b8i85vo7	124	66	matrix	matrix	NOUN
cord-186927-b8i85vo7	124	67	of	of	ADP
cord-186927-b8i85vo7	124	68	this	this	DET
cord-186927-b8i85vo7	124	69	process	process	NOUN
cord-186927-b8i85vo7	124	70	.	.	PUNCT
cord-186927-b8i85vo7	125	1	this	this	DET
cord-186927-b8i85vo7	125	2	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	125	3	assumption	assumption	NOUN
cord-186927-b8i85vo7	125	4	is	be	AUX
cord-186927-b8i85vo7	125	5	not	not	PART
cord-186927-b8i85vo7	125	6	satisfied	satisfied	ADJ
cord-186927-b8i85vo7	125	7	in	in	ADP
cord-186927-b8i85vo7	125	8	our	our	PRON
cord-186927-b8i85vo7	125	9	model	model	NOUN
cord-186927-b8i85vo7	125	10	,	,	PUNCT
cord-186927-b8i85vo7	125	11	because	because	SCONJ
cord-186927-b8i85vo7	125	12	roughly	roughly	ADV
cord-186927-b8i85vo7	125	13	speaking	speak	VERB
cord-186927-b8i85vo7	125	14	,	,	PUNCT
cord-186927-b8i85vo7	125	15	there	there	PRON
cord-186927-b8i85vo7	125	16	is	be	VERB
cord-186927-b8i85vo7	125	17	only	only	ADV
cord-186927-b8i85vo7	125	18	one	one	NUM
cord-186927-b8i85vo7	125	19	brownian	brownian	ADJ
cord-186927-b8i85vo7	125	20	motion	motion	NOUN
cord-186927-b8i85vo7	125	21	driving	drive	VERB
cord-186927-b8i85vo7	125	22	the	the	DET
cord-186927-b8i85vo7	125	23	two	two	NUM
cord-186927-b8i85vo7	125	24	processes	process	NOUN
cord-186927-b8i85vo7	125	25	,	,	PUNCT
cord-186927-b8i85vo7	125	26	and	and	CCONJ
cord-186927-b8i85vo7	125	27	we	we	PRON
cord-186927-b8i85vo7	125	28	therefore	therefore	ADV
cord-186927-b8i85vo7	125	29	can	can	AUX
cord-186927-b8i85vo7	125	30	not	not	PART
cord-186927-b8i85vo7	125	31	directly	directly	ADV
cord-186927-b8i85vo7	125	32	rely	rely	VERB
cord-186927-b8i85vo7	125	33	on	on	ADP
cord-186927-b8i85vo7	125	34	existing	exist	VERB
cord-186927-b8i85vo7	125	35	result	result	NOUN
cord-186927-b8i85vo7	125	36	to	to	PART
cord-186927-b8i85vo7	125	37	tackle	tackle	VERB
cord-186927-b8i85vo7	125	38	our	our	PRON
cord-186927-b8i85vo7	125	39	problem	problem	NOUN
cord-186927-b8i85vo7	125	40	.	.	PUNCT
cord-186927-b8i85vo7	126	1	in	in	ADP
cord-186927-b8i85vo7	126	2	these	these	DET
cord-186927-b8i85vo7	126	3	so	so	ADV
cord-186927-b8i85vo7	126	4	-	-	PUNCT
cord-186927-b8i85vo7	126	5	called	call	VERB
cord-186927-b8i85vo7	126	6	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	126	7	problems	problem	NOUN
cord-186927-b8i85vo7	126	8	,	,	PUNCT
cord-186927-b8i85vo7	126	9	the	the	DET
cord-186927-b8i85vo7	126	10	literature	literature	NOUN
cord-186927-b8i85vo7	126	11	has	have	AUX
cord-186927-b8i85vo7	126	12	so	so	ADV
cord-186927-b8i85vo7	126	13	far	far	ADV
cord-186927-b8i85vo7	126	14	relied	rely	VERB
cord-186927-b8i85vo7	126	15	on	on	ADP
cord-186927-b8i85vo7	126	16	the	the	DET
cord-186927-b8i85vo7	126	17	pontryagin	pontryagin	NOUN
cord-186927-b8i85vo7	126	18	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	126	19	maximum	maximum	NOUN
cord-186927-b8i85vo7	126	20	principle	principle	NOUN
cord-186927-b8i85vo7	126	21	,	,	PUNCT
cord-186927-b8i85vo7	126	22	see	see	VERB
cord-186927-b8i85vo7	126	23	for	for	ADP
cord-186927-b8i85vo7	126	24	instance	instance	NOUN
cord-186927-b8i85vo7	127	1	[	[	PUNCT
cord-186927-b8i85vo7	127	2	56	56	NUM
cord-186927-b8i85vo7	127	3	]	]	PUNCT
cord-186927-b8i85vo7	127	4	,	,	PUNCT
cord-186927-b8i85vo7	127	5	but	but	CCONJ
cord-186927-b8i85vo7	127	6	this	this	PRON
cord-186927-b8i85vo7	127	7	requires	require	VERB
cord-186927-b8i85vo7	127	8	extremely	extremely	ADV
cord-186927-b8i85vo7	127	9	stringent	stringent	ADJ
cord-186927-b8i85vo7	127	10	assumptions	assumption	NOUN
cord-186927-b8i85vo7	127	11	,	,	PUNCT
cord-186927-b8i85vo7	127	12	such	such	ADJ
cord-186927-b8i85vo7	127	13	as	as	ADP
cord-186927-b8i85vo7	127	14	linear	linear	ADJ
cord-186927-b8i85vo7	127	15	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	127	16	,	,	PUNCT
cord-186927-b8i85vo7	127	17	which	which	PRON
cord-186927-b8i85vo7	127	18	are	be	AUX
cord-186927-b8i85vo7	127	19	automatically	automatically	ADV
cord-186927-b8i85vo7	127	20	precluded	preclude	VERB
cord-186927-b8i85vo7	127	21	for	for	ADP
cord-186927-b8i85vo7	127	22	sis	sis	PROPN
cord-186927-b8i85vo7	127	23	/	/	SYM
cord-186927-b8i85vo7	127	24	sir	sir	NOUN
cord-186927-b8i85vo7	127	25	models	model	NOUN
cord-186927-b8i85vo7	127	26	.	.	PUNCT
cord-186927-b8i85vo7	128	1	we	we	PRON
cord-186927-b8i85vo7	128	2	however	however	ADV
cord-186927-b8i85vo7	128	3	prove	prove	VERB
cord-186927-b8i85vo7	128	4	that	that	SCONJ
cord-186927-b8i85vo7	128	5	in	in	ADP
cord-186927-b8i85vo7	128	6	our	our	PRON
cord-186927-b8i85vo7	128	7	specific	specific	ADJ
cord-186927-b8i85vo7	128	8	problem	problem	NOUN
cord-186927-b8i85vo7	128	9	,	,	PUNCT
cord-186927-b8i85vo7	128	10	it	it	PRON
cord-186927-b8i85vo7	128	11	is	be	AUX
cord-186927-b8i85vo7	128	12	possible	possible	ADJ
cord-186927-b8i85vo7	128	13	designed	design	VERB
cord-186927-b8i85vo7	128	14	to	to	PART
cord-186927-b8i85vo7	128	15	help	help	VERB
cord-186927-b8i85vo7	128	16	tracking	track	VERB
cord-186927-b8i85vo7	128	17	down	down	ADP
cord-186927-b8i85vo7	128	18	subsequent	subsequent	ADJ
cord-186927-b8i85vo7	128	19	exposures	exposure	NOUN
cord-186927-b8i85vo7	128	20	after	after	SCONJ
cord-186927-b8i85vo7	128	21	an	an	DET
cord-186927-b8i85vo7	128	22	infected	infected	ADJ
cord-186927-b8i85vo7	128	23	individual	individual	NOUN
cord-186927-b8i85vo7	128	24	is	be	AUX
cord-186927-b8i85vo7	128	25	identified	identify	VERB
cord-186927-b8i85vo7	128	26	,	,	PUNCT
cord-186927-b8i85vo7	128	27	see	see	VERB
cord-186927-b8i85vo7	128	28	for	for	ADP
cord-186927-b8i85vo7	128	29	instance	instance	NOUN
cord-186927-b8i85vo7	128	30	cho	cho	PROPN
cord-186927-b8i85vo7	128	31	,	,	PUNCT
cord-186927-b8i85vo7	128	32	ippolito	ippolito	PROPN
cord-186927-b8i85vo7	128	33	,	,	PUNCT
cord-186927-b8i85vo7	128	34	and	and	CCONJ
cord-186927-b8i85vo7	128	35	yu	yu	PROPN
cord-186927-b8i85vo7	129	1	[	[	X
cord-186927-b8i85vo7	129	2	23	23	NUM
cord-186927-b8i85vo7	129	3	]	]	PUNCT
cord-186927-b8i85vo7	129	4	,	,	PUNCT
cord-186927-b8i85vo7	129	5	or	or	CCONJ
cord-186927-b8i85vo7	129	6	reichert	reichert	NOUN
cord-186927-b8i85vo7	129	7	,	,	PUNCT
cord-186927-b8i85vo7	129	8	brack	brack	NOUN
cord-186927-b8i85vo7	129	9	,	,	PUNCT
cord-186927-b8i85vo7	129	10	and	and	CCONJ
cord-186927-b8i85vo7	129	11	scheuermann	scheuermann	PROPN
cord-186927-b8i85vo7	130	1	[	[	PUNCT
cord-186927-b8i85vo7	130	2	86	86	NUM
cord-186927-b8i85vo7	130	3	]	]	PUNCT
cord-186927-b8i85vo7	130	4	.	.	PUNCT
cord-186927-b8i85vo7	131	1	using	use	VERB
cord-186927-b8i85vo7	131	2	these	these	DET
cord-186927-b8i85vo7	131	3	would	would	AUX
cord-186927-b8i85vo7	131	4	in	in	ADP
cord-186927-b8i85vo7	131	5	principle	principle	ADJ
cord-186927-b8i85vo7	131	6	erase	erase	VERB
cord-186927-b8i85vo7	131	7	any	any	DET
cord-186927-b8i85vo7	131	8	possibility	possibility	NOUN
cord-186927-b8i85vo7	131	9	or	or	CCONJ
cord-186927-b8i85vo7	131	10	moral	moral	ADJ
cord-186927-b8i85vo7	131	11	hazard	hazard	NOUN
cord-186927-b8i85vo7	131	12	,	,	PUNCT
cord-186927-b8i85vo7	131	13	provided	provide	VERB
cord-186927-b8i85vo7	131	14	that	that	SCONJ
cord-186927-b8i85vo7	131	15	all	all	DET
cord-186927-b8i85vo7	131	16	the	the	DET
cord-186927-b8i85vo7	131	17	population	population	NOUN
cord-186927-b8i85vo7	131	18	uses	use	VERB
cord-186927-b8i85vo7	131	19	the	the	DET
cord-186927-b8i85vo7	131	20	app	app	NOUN
cord-186927-b8i85vo7	131	21	,	,	PUNCT
cord-186927-b8i85vo7	131	22	and	and	CCONJ
cord-186927-b8i85vo7	131	23	that	that	PRON
cord-186927-b8i85vo7	131	24	testing	testing	NOUN
cord-186927-b8i85vo7	131	25	is	be	AUX
cord-186927-b8i85vo7	131	26	organised	organise	VERB
cord-186927-b8i85vo7	131	27	on	on	ADP
cord-186927-b8i85vo7	131	28	a	a	DET
cord-186927-b8i85vo7	131	29	massive	massive	ADJ
cord-186927-b8i85vo7	131	30	scale	scale	NOUN
cord-186927-b8i85vo7	131	31	.	.	PUNCT
cord-186927-b8i85vo7	132	1	even	even	ADV
cord-186927-b8i85vo7	132	2	admitting	admit	VERB
cord-186927-b8i85vo7	132	3	that	that	SCONJ
cord-186927-b8i85vo7	132	4	this	this	PRON
cord-186927-b8i85vo7	132	5	would	would	AUX
cord-186927-b8i85vo7	132	6	be	be	AUX
cord-186927-b8i85vo7	132	7	the	the	DET
cord-186927-b8i85vo7	132	8	case	case	NOUN
cord-186927-b8i85vo7	132	9	,	,	PUNCT
cord-186927-b8i85vo7	132	10	it	it	PRON
cord-186927-b8i85vo7	132	11	remains	remain	VERB
cord-186927-b8i85vo7	132	12	that	that	SCONJ
cord-186927-b8i85vo7	132	13	these	these	DET
cord-186927-b8i85vo7	132	14	tools	tool	NOUN
cord-186927-b8i85vo7	132	15	have	have	AUX
cord-186927-b8i85vo7	132	16	raised	raise	VERB
cord-186927-b8i85vo7	132	17	complex	complex	ADJ
cord-186927-b8i85vo7	132	18	issues	issue	NOUN
cord-186927-b8i85vo7	132	19	of	of	ADP
cord-186927-b8i85vo7	132	20	privacy	privacy	NOUN
cord-186927-b8i85vo7	132	21	,	,	PUNCT
cord-186927-b8i85vo7	132	22	see	see	VERB
cord-186927-b8i85vo7	132	23	ienca	ienca	PROPN
cord-186927-b8i85vo7	132	24	and	and	CCONJ
cord-186927-b8i85vo7	132	25	vayena	vayena	NOUN
cord-186927-b8i85vo7	132	26	[	[	X
cord-186927-b8i85vo7	132	27	57	57	NUM
cord-186927-b8i85vo7	132	28	]	]	PUNCT
cord-186927-b8i85vo7	132	29	or	or	CCONJ
cord-186927-b8i85vo7	132	30	park	park	NOUN
cord-186927-b8i85vo7	132	31	,	,	PUNCT
cord-186927-b8i85vo7	132	32	choi	choi	NOUN
cord-186927-b8i85vo7	132	33	,	,	PUNCT
cord-186927-b8i85vo7	132	34	and	and	CCONJ
cord-186927-b8i85vo7	132	35	ko	ko	PROPN
cord-186927-b8i85vo7	133	1	[	[	X
cord-186927-b8i85vo7	133	2	82	82	NUM
cord-186927-b8i85vo7	133	3	]	]	PUNCT
cord-186927-b8i85vo7	133	4	,	,	PUNCT
cord-186927-b8i85vo7	133	5	and	and	CCONJ
cord-186927-b8i85vo7	133	6	thus	thus	ADV
cord-186927-b8i85vo7	133	7	are	be	AUX
cord-186927-b8i85vo7	133	8	still	still	ADV
cord-186927-b8i85vo7	133	9	extremely	extremely	ADV
cord-186927-b8i85vo7	133	10	polemical	polemical	ADJ
cord-186927-b8i85vo7	133	11	.	.	PUNCT
cord-186927-b8i85vo7	134	1	in	in	ADP
cord-186927-b8i85vo7	134	2	any	any	DET
cord-186927-b8i85vo7	134	3	case	case	NOUN
cord-186927-b8i85vo7	134	4	,	,	PUNCT
cord-186927-b8i85vo7	134	5	the	the	DET
cord-186927-b8i85vo7	134	6	incentive	incentive	NOUN
cord-186927-b8i85vo7	134	7	-	-	PUNCT
cord-186927-b8i85vo7	134	8	based	base	VERB
cord-186927-b8i85vo7	134	9	approach	approach	NOUN
cord-186927-b8i85vo7	134	10	we	we	PRON
cord-186927-b8i85vo7	134	11	propose	propose	VERB
cord-186927-b8i85vo7	134	12	can	can	AUX
cord-186927-b8i85vo7	134	13	always	always	ADV
cord-186927-b8i85vo7	134	14	be	be	AUX
cord-186927-b8i85vo7	134	15	considered	consider	VERB
cord-186927-b8i85vo7	134	16	as	as	ADP
cord-186927-b8i85vo7	134	17	a	a	DET
cord-186927-b8i85vo7	134	18	useful	useful	ADJ
cord-186927-b8i85vo7	134	19	complement	complement	NOUN
cord-186927-b8i85vo7	134	20	to	to	ADP
cord-186927-b8i85vo7	134	21	any	any	DET
cord-186927-b8i85vo7	134	22	other	other	ADJ
cord-186927-b8i85vo7	134	23	adopted	adopted	ADJ
cord-186927-b8i85vo7	134	24	strategy	strategy	NOUN
cord-186927-b8i85vo7	134	25	.	.	PUNCT
cord-186927-b8i85vo7	135	1	2	2	NUM
cord-186927-b8i85vo7	135	2	there	there	PRON
cord-186927-b8i85vo7	135	3	are	be	VERB
cord-186927-b8i85vo7	135	4	a	a	DET
cord-186927-b8i85vo7	135	5	certain	certain	ADJ
cord-186927-b8i85vo7	135	6	number	number	NOUN
cord-186927-b8i85vo7	135	7	of	of	ADP
cord-186927-b8i85vo7	135	8	papers	paper	NOUN
cord-186927-b8i85vo7	135	9	studying	study	VERB
cord-186927-b8i85vo7	135	10	disease	disease	NOUN
cord-186927-b8i85vo7	135	11	spreading	spread	VERB
cord-186927-b8i85vo7	135	12	through	through	ADP
cord-186927-b8i85vo7	135	13	the	the	DET
cord-186927-b8i85vo7	135	14	lens	lens	NOUN
cord-186927-b8i85vo7	135	15	of	of	ADP
cord-186927-b8i85vo7	135	16	either	either	PRON
cord-186927-b8i85vo7	135	17	moral	moral	ADJ
cord-186927-b8i85vo7	135	18	hazard	hazard	NOUN
cord-186927-b8i85vo7	135	19	or	or	CCONJ
cord-186927-b8i85vo7	135	20	adverse	adverse	ADJ
cord-186927-b8i85vo7	135	21	selection	selection	NOUN
cord-186927-b8i85vo7	135	22	.	.	PUNCT
cord-186927-b8i85vo7	136	1	however	however	ADV
cord-186927-b8i85vo7	136	2	,	,	PUNCT
cord-186927-b8i85vo7	136	3	these	these	DET
cord-186927-b8i85vo7	136	4	papers	paper	NOUN
cord-186927-b8i85vo7	136	5	are	be	AUX
cord-186927-b8i85vo7	136	6	mostly	mostly	ADV
cord-186927-b8i85vo7	136	7	interested	interested	ADJ
cord-186927-b8i85vo7	136	8	in	in	ADP
cord-186927-b8i85vo7	136	9	livestock	livestock	NOUN
cord-186927-b8i85vo7	136	10	related	relate	VERB
cord-186927-b8i85vo7	136	11	diseases	disease	NOUN
cord-186927-b8i85vo7	136	12	,	,	PUNCT
cord-186927-b8i85vo7	136	13	where	where	SCONJ
cord-186927-b8i85vo7	136	14	producers	producer	NOUN
cord-186927-b8i85vo7	136	15	naturally	naturally	ADV
cord-186927-b8i85vo7	136	16	have	have	VERB
cord-186927-b8i85vo7	136	17	private	private	ADJ
cord-186927-b8i85vo7	136	18	information	information	NOUN
cord-186927-b8i85vo7	136	19	on	on	ADP
cord-186927-b8i85vo7	136	20	preventive	preventive	ADJ
cord-186927-b8i85vo7	136	21	measures	measure	NOUN
cord-186927-b8i85vo7	136	22	they	they	PRON
cord-186927-b8i85vo7	136	23	may	may	AUX
cord-186927-b8i85vo7	136	24	have	have	AUX
cord-186927-b8i85vo7	136	25	adopted	adopt	VERB
cord-186927-b8i85vo7	136	26	,	,	PUNCT
cord-186927-b8i85vo7	136	27	prior	prior	ADV
cord-186927-b8i85vo7	136	28	to	to	ADP
cord-186927-b8i85vo7	136	29	contamination	contamination	NOUN
cord-186927-b8i85vo7	136	30	(	(	PUNCT
cord-186927-b8i85vo7	136	31	ex	ex	X
cord-186927-b8i85vo7	136	32	ante	ante	PROPN
cord-186927-b8i85vo7	136	33	moral	moral	ADJ
cord-186927-b8i85vo7	136	34	hazard	hazard	NOUN
cord-186927-b8i85vo7	136	35	)	)	PUNCT
cord-186927-b8i85vo7	136	36	,	,	PUNCT
cord-186927-b8i85vo7	136	37	and	and	CCONJ
cord-186927-b8i85vo7	136	38	may	may	AUX
cord-186927-b8i85vo7	136	39	or	or	CCONJ
cord-186927-b8i85vo7	136	40	may	may	AUX
cord-186927-b8i85vo7	136	41	not	not	PART
cord-186927-b8i85vo7	136	42	declare	declare	VERB
cord-186927-b8i85vo7	136	43	whether	whether	SCONJ
cord-186927-b8i85vo7	136	44	their	their	PRON
cord-186927-b8i85vo7	136	45	herd	herd	NOUN
cord-186927-b8i85vo7	136	46	is	be	AUX
cord-186927-b8i85vo7	136	47	infected	infect	VERB
cord-186927-b8i85vo7	136	48	after	after	ADP
cord-186927-b8i85vo7	136	49	contamination	contamination	NOUN
cord-186927-b8i85vo7	136	50	(	(	PUNCT
cord-186927-b8i85vo7	136	51	ex	ex	X
cord-186927-b8i85vo7	136	52	post	post	ADJ
cord-186927-b8i85vo7	136	53	adverse	adverse	ADJ
cord-186927-b8i85vo7	136	54	selection	selection	NOUN
cord-186927-b8i85vo7	136	55	)	)	PUNCT
cord-186927-b8i85vo7	136	56	.	.	PUNCT
cord-186927-b8i85vo7	137	1	such	such	ADJ
cord-186927-b8i85vo7	137	2	issues	issue	NOUN
cord-186927-b8i85vo7	137	3	and	and	CCONJ
cord-186927-b8i85vo7	137	4	the	the	DET
cord-186927-b8i85vo7	137	5	design	design	NOUN
cord-186927-b8i85vo7	137	6	of	of	ADP
cord-186927-b8i85vo7	137	7	appropriate	appropriate	ADJ
cord-186927-b8i85vo7	137	8	policies	policy	NOUN
cord-186927-b8i85vo7	137	9	are	be	AUX
cord-186927-b8i85vo7	137	10	considered	consider	VERB
cord-186927-b8i85vo7	137	11	for	for	ADP
cord-186927-b8i85vo7	137	12	instance	instance	NOUN
cord-186927-b8i85vo7	137	13	in	in	ADP
cord-186927-b8i85vo7	137	14	valeeva	valeeva	PROPN
cord-186927-b8i85vo7	137	15	and	and	CCONJ
cord-186927-b8i85vo7	137	16	backus	backus	PROPN
cord-186927-b8i85vo7	137	17	[	[	PUNCT
cord-186927-b8i85vo7	137	18	104	104	NUM
cord-186927-b8i85vo7	137	19	]	]	PUNCT
cord-186927-b8i85vo7	137	20	,	,	PUNCT
cord-186927-b8i85vo7	137	21	gramig	gramig	PROPN
cord-186927-b8i85vo7	137	22	,	,	PUNCT
cord-186927-b8i85vo7	137	23	horan	horan	PROPN
cord-186927-b8i85vo7	137	24	,	,	PUNCT
cord-186927-b8i85vo7	137	25	and	and	CCONJ
cord-186927-b8i85vo7	137	26	wolf	wolf	PROPN
cord-186927-b8i85vo7	138	1	[	[	X
cord-186927-b8i85vo7	138	2	45	45	NUM
cord-186927-b8i85vo7	138	3	;	;	PUNCT
cord-186927-b8i85vo7	138	4	46	46	NUM
cord-186927-b8i85vo7	138	5	]	]	PUNCT
cord-186927-b8i85vo7	138	6	,	,	PUNCT
cord-186927-b8i85vo7	138	7	but	but	CCONJ
cord-186927-b8i85vo7	138	8	the	the	DET
cord-186927-b8i85vo7	138	9	problematic	problematic	ADJ
cord-186927-b8i85vo7	138	10	is	be	AUX
cord-186927-b8i85vo7	138	11	completely	completely	ADV
cord-186927-b8i85vo7	138	12	different	different	ADJ
cord-186927-b8i85vo7	138	13	from	from	ADP
cord-186927-b8i85vo7	138	14	the	the	DET
cord-186927-b8i85vo7	138	15	one	one	NOUN
cord-186927-b8i85vo7	138	16	we	we	PRON
cord-186927-b8i85vo7	138	17	are	be	AUX
cord-186927-b8i85vo7	138	18	interested	interested	ADJ
cord-186927-b8i85vo7	138	19	in	in	ADP
cord-186927-b8i85vo7	138	20	.	.	PUNCT
cord-186927-b8i85vo7	139	1	a	a	DET
cord-186927-b8i85vo7	139	2	notable	notable	ADJ
cord-186927-b8i85vo7	139	3	exception	exception	NOUN
cord-186927-b8i85vo7	139	4	can	can	AUX
cord-186927-b8i85vo7	139	5	be	be	AUX
cord-186927-b8i85vo7	139	6	found	find	VERB
cord-186927-b8i85vo7	139	7	in	in	ADP
cord-186927-b8i85vo7	139	8	the	the	DET
cord-186927-b8i85vo7	139	9	work	work	NOUN
cord-186927-b8i85vo7	139	10	of	of	ADP
cord-186927-b8i85vo7	139	11	carmona	carmona	PROPN
cord-186927-b8i85vo7	139	12	and	and	CCONJ
cord-186927-b8i85vo7	139	13	wang	wang	PROPN
cord-186927-b8i85vo7	139	14	[	[	PUNCT
cord-186927-b8i85vo7	139	15	22	22	NUM
cord-186927-b8i85vo7	139	16	,	,	PUNCT
cord-186927-b8i85vo7	139	17	section	section	NOUN
cord-186927-b8i85vo7	139	18	5	5	NUM
cord-186927-b8i85vo7	139	19	]	]	PUNCT
cord-186927-b8i85vo7	139	20	,	,	PUNCT
cord-186927-b8i85vo7	139	21	where	where	SCONJ
cord-186927-b8i85vo7	139	22	the	the	DET
cord-186927-b8i85vo7	139	23	authors	author	NOUN
cord-186927-b8i85vo7	139	24	consider	consider	VERB
cord-186927-b8i85vo7	139	25	an	an	DET
cord-186927-b8i85vo7	139	26	application	application	NOUN
cord-186927-b8i85vo7	139	27	of	of	ADP
cord-186927-b8i85vo7	139	28	their	their	PRON
cord-186927-b8i85vo7	139	29	moral	moral	ADJ
cord-186927-b8i85vo7	139	30	hazard	hazard	NOUN
cord-186927-b8i85vo7	139	31	theory	theory	NOUN
cord-186927-b8i85vo7	139	32	for	for	ADP
cord-186927-b8i85vo7	139	33	agents	agent	NOUN
cord-186927-b8i85vo7	139	34	interacting	interact	VERB
cord-186927-b8i85vo7	139	35	through	through	ADP
cord-186927-b8i85vo7	139	36	a	a	DET
cord-186927-b8i85vo7	139	37	finite	finite	ADJ
cord-186927-b8i85vo7	139	38	state	state	NOUN
cord-186927-b8i85vo7	139	39	mean	mean	ADJ
cord-186927-b8i85vo7	139	40	-	-	PUNCT
cord-186927-b8i85vo7	139	41	field	field	NOUN
cord-186927-b8i85vo7	139	42	game	game	NOUN
cord-186927-b8i85vo7	139	43	to	to	ADP
cord-186927-b8i85vo7	139	44	the	the	DET
cord-186927-b8i85vo7	139	45	containment	containment	NOUN
cord-186927-b8i85vo7	139	46	of	of	ADP
cord-186927-b8i85vo7	139	47	an	an	DET
cord-186927-b8i85vo7	139	48	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	139	49	.	.	PUNCT
cord-186927-b8i85vo7	140	1	3	3	NUM
cord-186927-b8i85vo7	140	2	to	to	PART
cord-186927-b8i85vo7	140	3	identity	identity	VERB
cord-186927-b8i85vo7	140	4	a	a	DET
cord-186927-b8i85vo7	140	5	whole	whole	ADJ
cord-186927-b8i85vo7	140	6	family	family	NOUN
cord-186927-b8i85vo7	140	7	of	of	ADP
cord-186927-b8i85vo7	140	8	contract	contract	NOUN
cord-186927-b8i85vo7	140	9	representations	representation	NOUN
cord-186927-b8i85vo7	140	10	(	(	PUNCT
cord-186927-b8i85vo7	140	11	unlike	unlike	ADP
cord-186927-b8i85vo7	140	12	the	the	DET
cord-186927-b8i85vo7	140	13	unique	unique	ADJ
cord-186927-b8i85vo7	140	14	one	one	NOUN
cord-186927-b8i85vo7	140	15	in	in	ADP
cord-186927-b8i85vo7	140	16	non	non	ADJ
cord-186927-b8i85vo7	140	17	-	-	ADJ
cord-186927-b8i85vo7	140	18	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	140	19	models	model	NOUN
cord-186927-b8i85vo7	140	20	)	)	PUNCT
cord-186927-b8i85vo7	140	21	,	,	PUNCT
cord-186927-b8i85vo7	140	22	which	which	PRON
cord-186927-b8i85vo7	140	23	is	be	AUX
cord-186927-b8i85vo7	140	24	different	different	ADJ
cord-186927-b8i85vo7	140	25	from	from	ADP
cord-186927-b8i85vo7	140	26	the	the	DET
cord-186927-b8i85vo7	140	27	one	one	NOUN
cord-186927-b8i85vo7	140	28	obtained	obtain	VERB
cord-186927-b8i85vo7	140	29	in	in	ADP
cord-186927-b8i85vo7	140	30	[	[	SYM
cord-186927-b8i85vo7	140	31	29	29	NUM
cord-186927-b8i85vo7	140	32	]	]	PUNCT
cord-186927-b8i85vo7	140	33	,	,	PUNCT
cord-186927-b8i85vo7	140	34	but	but	CCONJ
cord-186927-b8i85vo7	140	35	which	which	PRON
cord-186927-b8i85vo7	140	36	still	still	ADV
cord-186927-b8i85vo7	140	37	allows	allow	VERB
cord-186927-b8i85vo7	140	38	us	we	PRON
cord-186927-b8i85vo7	140	39	to	to	PART
cord-186927-b8i85vo7	140	40	re	re	VERB
cord-186927-b8i85vo7	140	41	-	-	VERB
cord-186927-b8i85vo7	140	42	interpret	interpret	VERB
cord-186927-b8i85vo7	140	43	the	the	DET
cord-186927-b8i85vo7	140	44	problem	problem	NOUN
cord-186927-b8i85vo7	140	45	of	of	ADP
cord-186927-b8i85vo7	140	46	the	the	DET
cord-186927-b8i85vo7	140	47	principal	principal	NOUN
cord-186927-b8i85vo7	140	48	as	as	ADP
cord-186927-b8i85vo7	140	49	a	a	DET
cord-186927-b8i85vo7	140	50	standard	standard	ADJ
cord-186927-b8i85vo7	140	51	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	140	52	control	control	NOUN
cord-186927-b8i85vo7	140	53	problem	problem	NOUN
cord-186927-b8i85vo7	140	54	.	.	PUNCT
cord-186927-b8i85vo7	141	1	as	as	ADV
cord-186927-b8i85vo7	141	2	far	far	ADV
cord-186927-b8i85vo7	141	3	as	as	SCONJ
cord-186927-b8i85vo7	141	4	we	we	PRON
cord-186927-b8i85vo7	141	5	know	know	VERB
cord-186927-b8i85vo7	141	6	,	,	PUNCT
cord-186927-b8i85vo7	141	7	ours	ours	PRON
cord-186927-b8i85vo7	141	8	is	be	AUX
cord-186927-b8i85vo7	141	9	the	the	DET
cord-186927-b8i85vo7	141	10	first	first	ADJ
cord-186927-b8i85vo7	141	11	paper	paper	NOUN
cord-186927-b8i85vo7	141	12	in	in	ADP
cord-186927-b8i85vo7	141	13	the	the	DET
cord-186927-b8i85vo7	141	14	literature	literature	NOUN
cord-186927-b8i85vo7	141	15	which	which	PRON
cord-186927-b8i85vo7	141	16	uses	use	VERB
cord-186927-b8i85vo7	141	17	a	a	DET
cord-186927-b8i85vo7	141	18	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	141	19	programming	programming	NOUN
cord-186927-b8i85vo7	141	20	approach	approach	NOUN
cord-186927-b8i85vo7	141	21	to	to	PART
cord-186927-b8i85vo7	141	22	solve	solve	VERB
cord-186927-b8i85vo7	141	23	a	a	DET
cord-186927-b8i85vo7	141	24	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	141	25	principal	principal	ADJ
cord-186927-b8i85vo7	141	26	-	-	PUNCT
cord-186927-b8i85vo7	141	27	agent	agent	NOUN
cord-186927-b8i85vo7	141	28	problem	problem	NOUN
cord-186927-b8i85vo7	141	29	,	,	PUNCT
cord-186927-b8i85vo7	141	30	and	and	CCONJ
cord-186927-b8i85vo7	141	31	this	this	PRON
cord-186927-b8i85vo7	141	32	constitutes	constitute	VERB
cord-186927-b8i85vo7	141	33	our	our	PRON
cord-186927-b8i85vo7	141	34	main	main	ADJ
cord-186927-b8i85vo7	141	35	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	141	36	contribution	contribution	NOUN
cord-186927-b8i85vo7	141	37	.	.	PUNCT
cord-186927-b8i85vo7	142	1	unfortunately	unfortunately	ADV
cord-186927-b8i85vo7	142	2	,	,	PUNCT
cord-186927-b8i85vo7	142	3	but	but	CCONJ
cord-186927-b8i85vo7	142	4	of	of	ADP
cord-186927-b8i85vo7	142	5	course	course	NOUN
cord-186927-b8i85vo7	142	6	expectedly	expectedly	ADV
cord-186927-b8i85vo7	142	7	for	for	ADP
cord-186927-b8i85vo7	142	8	a	a	DET
cord-186927-b8i85vo7	142	9	relatively	relatively	ADV
cord-186927-b8i85vo7	142	10	general	general	ADJ
cord-186927-b8i85vo7	142	11	framework	framework	NOUN
cord-186927-b8i85vo7	142	12	,	,	PUNCT
cord-186927-b8i85vo7	142	13	there	there	PRON
cord-186927-b8i85vo7	142	14	is	be	VERB
cord-186927-b8i85vo7	142	15	no	no	DET
cord-186927-b8i85vo7	142	16	way	way	NOUN
cord-186927-b8i85vo7	142	17	to	to	PART
cord-186927-b8i85vo7	142	18	extract	extract	VERB
cord-186927-b8i85vo7	142	19	from	from	ADP
cord-186927-b8i85vo7	142	20	our	our	PRON
cord-186927-b8i85vo7	142	21	model	model	ADJ
cord-186927-b8i85vo7	142	22	explicit	explicit	ADJ
cord-186927-b8i85vo7	142	23	results	result	NOUN
cord-186927-b8i85vo7	142	24	,	,	PUNCT
cord-186927-b8i85vo7	142	25	especially	especially	ADV
cord-186927-b8i85vo7	142	26	on	on	ADP
cord-186927-b8i85vo7	142	27	the	the	DET
cord-186927-b8i85vo7	142	28	shape	shape	NOUN
cord-186927-b8i85vo7	142	29	of	of	ADP
cord-186927-b8i85vo7	142	30	optimal	optimal	ADJ
cord-186927-b8i85vo7	142	31	controls	control	NOUN
cord-186927-b8i85vo7	142	32	.	.	PUNCT
cord-186927-b8i85vo7	143	1	it	it	PRON
cord-186927-b8i85vo7	143	2	is	be	AUX
cord-186927-b8i85vo7	143	3	therefore	therefore	ADV
cord-186927-b8i85vo7	143	4	necessary	necessary	ADJ
cord-186927-b8i85vo7	143	5	to	to	PART
cord-186927-b8i85vo7	143	6	perform	perform	VERB
cord-186927-b8i85vo7	143	7	numerical	numerical	ADJ
cord-186927-b8i85vo7	143	8	simulations	simulation	NOUN
cord-186927-b8i85vo7	143	9	,	,	PUNCT
cord-186927-b8i85vo7	143	10	by	by	ADP
cord-186927-b8i85vo7	143	11	implementing	implement	VERB
cord-186927-b8i85vo7	143	12	semi	semi	ADJ
cord-186927-b8i85vo7	143	13	-	-	ADJ
cord-186927-b8i85vo7	143	14	lagrangian	lagrangian	ADJ
cord-186927-b8i85vo7	143	15	schemes	scheme	NOUN
cord-186927-b8i85vo7	143	16	,	,	PUNCT
cord-186927-b8i85vo7	143	17	proposed	propose	VERB
cord-186927-b8i85vo7	143	18	for	for	ADP
cord-186927-b8i85vo7	143	19	the	the	DET
cord-186927-b8i85vo7	143	20	first	first	ADJ
cord-186927-b8i85vo7	143	21	time	time	NOUN
cord-186927-b8i85vo7	143	22	by	by	ADP
cord-186927-b8i85vo7	143	23	camilli	camilli	NOUN
cord-186927-b8i85vo7	143	24	and	and	CCONJ
cord-186927-b8i85vo7	143	25	falcone	falcone	NOUN
cord-186927-b8i85vo7	143	26	[	[	X
cord-186927-b8i85vo7	143	27	21	21	NUM
cord-186927-b8i85vo7	143	28	]	]	PUNCT
cord-186927-b8i85vo7	143	29	,	,	PUNCT
cord-186927-b8i85vo7	143	30	using	use	VERB
cord-186927-b8i85vo7	143	31	some	some	DET
cord-186927-b8i85vo7	143	32	truncated	truncate	VERB
cord-186927-b8i85vo7	143	33	high	high	ADJ
cord-186927-b8i85vo7	143	34	-	-	PUNCT
cord-186927-b8i85vo7	143	35	order	order	NOUN
cord-186927-b8i85vo7	143	36	interpolators	interpolator	NOUN
cord-186927-b8i85vo7	143	37	,	,	PUNCT
cord-186927-b8i85vo7	143	38	as	as	SCONJ
cord-186927-b8i85vo7	143	39	proposed	propose	VERB
cord-186927-b8i85vo7	143	40	by	by	ADP
cord-186927-b8i85vo7	143	41	warin	warin	PROPN
cord-186927-b8i85vo7	144	1	[	[	PUNCT
cord-186927-b8i85vo7	144	2	105	105	NUM
cord-186927-b8i85vo7	144	3	]	]	PUNCT
cord-186927-b8i85vo7	144	4	.	.	PUNCT
cord-186927-b8i85vo7	145	1	the	the	DET
cord-186927-b8i85vo7	145	2	numerical	numerical	ADJ
cord-186927-b8i85vo7	145	3	results	result	NOUN
cord-186927-b8i85vo7	145	4	for	for	ADP
cord-186927-b8i85vo7	145	5	both	both	DET
cord-186927-b8i85vo7	145	6	sis	sis	NOUN
cord-186927-b8i85vo7	145	7	and	and	CCONJ
cord-186927-b8i85vo7	145	8	sir	sir	PROPN
cord-186927-b8i85vo7	145	9	models	model	NOUN
cord-186927-b8i85vo7	145	10	are	be	AUX
cord-186927-b8i85vo7	145	11	conclusive	conclusive	ADJ
cord-186927-b8i85vo7	145	12	,	,	PUNCT
cord-186927-b8i85vo7	145	13	and	and	CCONJ
cord-186927-b8i85vo7	145	14	confirm	confirm	VERB
cord-186927-b8i85vo7	145	15	the	the	DET
cord-186927-b8i85vo7	145	16	relevance	relevance	NOUN
cord-186927-b8i85vo7	145	17	of	of	ADP
cord-186927-b8i85vo7	145	18	a	a	DET
cord-186927-b8i85vo7	145	19	tax	tax	NOUN
cord-186927-b8i85vo7	145	20	and	and	CCONJ
cord-186927-b8i85vo7	145	21	testing	testing	NOUN
cord-186927-b8i85vo7	145	22	policy	policy	NOUN
cord-186927-b8i85vo7	145	23	to	to	PART
cord-186927-b8i85vo7	145	24	improve	improve	VERB
cord-186927-b8i85vo7	145	25	the	the	DET
cord-186927-b8i85vo7	145	26	control	control	NOUN
cord-186927-b8i85vo7	145	27	of	of	ADP
cord-186927-b8i85vo7	145	28	an	an	DET
cord-186927-b8i85vo7	145	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	145	30	.	.	PUNCT
cord-186927-b8i85vo7	146	1	first	first	ADV
cord-186927-b8i85vo7	146	2	,	,	PUNCT
cord-186927-b8i85vo7	146	3	in	in	ADP
cord-186927-b8i85vo7	146	4	the	the	DET
cord-186927-b8i85vo7	146	5	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	146	6	case	case	NOUN
cord-186927-b8i85vo7	146	7	,	,	PUNCT
cord-186927-b8i85vo7	146	8	considered	consider	VERB
cord-186927-b8i85vo7	146	9	as	as	ADP
cord-186927-b8i85vo7	146	10	the	the	DET
cord-186927-b8i85vo7	146	11	case	case	NOUN
cord-186927-b8i85vo7	146	12	where	where	SCONJ
cord-186927-b8i85vo7	146	13	the	the	DET
cord-186927-b8i85vo7	146	14	government	government	NOUN
cord-186927-b8i85vo7	146	15	does	do	AUX
cord-186927-b8i85vo7	146	16	not	not	PART
cord-186927-b8i85vo7	146	17	put	put	VERB
cord-186927-b8i85vo7	146	18	into	into	ADP
cord-186927-b8i85vo7	146	19	place	place	NOUN
cord-186927-b8i85vo7	146	20	a	a	DET
cord-186927-b8i85vo7	146	21	specific	specific	ADJ
cord-186927-b8i85vo7	146	22	policy	policy	NOUN
cord-186927-b8i85vo7	146	23	,	,	PUNCT
cord-186927-b8i85vo7	146	24	the	the	DET
cord-186927-b8i85vo7	146	25	efforts	effort	NOUN
cord-186927-b8i85vo7	146	26	of	of	ADP
cord-186927-b8i85vo7	146	27	the	the	DET
cord-186927-b8i85vo7	146	28	population	population	NOUN
cord-186927-b8i85vo7	146	29	are	be	AUX
cord-186927-b8i85vo7	146	30	not	not	PART
cord-186927-b8i85vo7	146	31	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	146	32	to	to	PART
cord-186927-b8i85vo7	146	33	contain	contain	VERB
cord-186927-b8i85vo7	146	34	the	the	DET
cord-186927-b8i85vo7	146	35	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	146	36	.	.	PUNCT
cord-186927-b8i85vo7	147	1	in	in	ADP
cord-186927-b8i85vo7	147	2	our	our	PRON
cord-186927-b8i85vo7	147	3	opinion	opinion	NOUN
cord-186927-b8i85vo7	147	4	,	,	PUNCT
cord-186927-b8i85vo7	147	5	this	this	PRON
cord-186927-b8i85vo7	147	6	supports	support	VERB
cord-186927-b8i85vo7	147	7	the	the	DET
cord-186927-b8i85vo7	147	8	need	need	NOUN
cord-186927-b8i85vo7	147	9	for	for	ADP
cord-186927-b8i85vo7	147	10	incentives	incentive	NOUN
cord-186927-b8i85vo7	147	11	.	.	PUNCT
cord-186927-b8i85vo7	148	1	indeed	indeed	ADV
cord-186927-b8i85vo7	148	2	,	,	PUNCT
cord-186927-b8i85vo7	148	3	if	if	SCONJ
cord-186927-b8i85vo7	148	4	a	a	DET
cord-186927-b8i85vo7	148	5	tax	tax	NOUN
cord-186927-b8i85vo7	148	6	policy	policy	NOUN
cord-186927-b8i85vo7	148	7	is	be	AUX
cord-186927-b8i85vo7	148	8	put	put	VERB
cord-186927-b8i85vo7	148	9	into	into	ADP
cord-186927-b8i85vo7	148	10	place	place	NOUN
cord-186927-b8i85vo7	148	11	,	,	PUNCT
cord-186927-b8i85vo7	148	12	even	even	ADV
cord-186927-b8i85vo7	148	13	in	in	ADP
cord-186927-b8i85vo7	148	14	the	the	DET
cord-186927-b8i85vo7	148	15	absence	absence	NOUN
cord-186927-b8i85vo7	148	16	of	of	ADP
cord-186927-b8i85vo7	148	17	a	a	DET
cord-186927-b8i85vo7	148	18	specific	specific	ADJ
cord-186927-b8i85vo7	148	19	testing	testing	NOUN
cord-186927-b8i85vo7	148	20	policy	policy	NOUN
cord-186927-b8i85vo7	148	21	,	,	PUNCT
cord-186927-b8i85vo7	148	22	the	the	DET
cord-186927-b8i85vo7	148	23	population	population	NOUN
cord-186927-b8i85vo7	148	24	is	be	AUX
cord-186927-b8i85vo7	148	25	then	then	ADV
cord-186927-b8i85vo7	148	26	encouraged	encourage	VERB
cord-186927-b8i85vo7	148	27	to	to	PART
cord-186927-b8i85vo7	148	28	significantly	significantly	ADV
cord-186927-b8i85vo7	148	29	reduce	reduce	VERB
cord-186927-b8i85vo7	148	30	its	its	PRON
cord-186927-b8i85vo7	148	31	interactions	interaction	NOUN
cord-186927-b8i85vo7	148	32	,	,	PUNCT
cord-186927-b8i85vo7	148	33	thus	thus	ADV
cord-186927-b8i85vo7	148	34	containing	contain	VERB
cord-186927-b8i85vo7	148	35	the	the	DET
cord-186927-b8i85vo7	148	36	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	148	37	until	until	ADP
cord-186927-b8i85vo7	148	38	the	the	DET
cord-186927-b8i85vo7	148	39	end	end	NOUN
cord-186927-b8i85vo7	148	40	of	of	ADP
cord-186927-b8i85vo7	148	41	the	the	DET
cord-186927-b8i85vo7	148	42	period	period	NOUN
cord-186927-b8i85vo7	148	43	under	under	ADP
cord-186927-b8i85vo7	148	44	consideration	consideration	NOUN
cord-186927-b8i85vo7	148	45	.	.	PUNCT
cord-186927-b8i85vo7	149	1	however	however	ADV
cord-186927-b8i85vo7	149	2	,	,	PUNCT
cord-186927-b8i85vo7	149	3	for	for	ADP
cord-186927-b8i85vo7	149	4	a	a	DET
cord-186927-b8i85vo7	149	5	fixed	fix	VERB
cord-186927-b8i85vo7	149	6	containment	containment	NOUN
cord-186927-b8i85vo7	149	7	period	period	NOUN
cord-186927-b8i85vo7	149	8	,	,	PUNCT
cord-186927-b8i85vo7	149	9	the	the	DET
cord-186927-b8i85vo7	149	10	population	population	NOUN
cord-186927-b8i85vo7	149	11	relaxes	relax	VERB
cord-186927-b8i85vo7	149	12	its	its	PRON
cord-186927-b8i85vo7	149	13	effort	effort	NOUN
cord-186927-b8i85vo7	149	14	at	at	ADP
cord-186927-b8i85vo7	149	15	the	the	DET
cord-186927-b8i85vo7	149	16	very	very	ADJ
cord-186927-b8i85vo7	149	17	end	end	NOUN
cord-186927-b8i85vo7	149	18	,	,	PUNCT
cord-186927-b8i85vo7	149	19	leading	lead	VERB
cord-186927-b8i85vo7	149	20	to	to	ADP
cord-186927-b8i85vo7	149	21	a	a	DET
cord-186927-b8i85vo7	149	22	resumption	resumption	NOUN
cord-186927-b8i85vo7	149	23	of	of	ADP
cord-186927-b8i85vo7	149	24	the	the	DET
cord-186927-b8i85vo7	149	25	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	149	26	at	at	ADP
cord-186927-b8i85vo7	149	27	that	that	DET
cord-186927-b8i85vo7	149	28	point	point	NOUN
cord-186927-b8i85vo7	149	29	.	.	PUNCT
cord-186927-b8i85vo7	150	1	finally	finally	ADV
cord-186927-b8i85vo7	150	2	,	,	PUNCT
cord-186927-b8i85vo7	150	3	if	if	SCONJ
cord-186927-b8i85vo7	150	4	the	the	DET
cord-186927-b8i85vo7	150	5	government	government	NOUN
cord-186927-b8i85vo7	150	6	also	also	ADV
cord-186927-b8i85vo7	150	7	adjusts	adjust	VERB
cord-186927-b8i85vo7	150	8	its	its	PRON
cord-186927-b8i85vo7	150	9	testing	testing	NOUN
cord-186927-b8i85vo7	150	10	policy	policy	NOUN
cord-186927-b8i85vo7	150	11	,	,	PUNCT
cord-186927-b8i85vo7	150	12	less	less	ADJ
cord-186927-b8i85vo7	150	13	effort	effort	NOUN
cord-186927-b8i85vo7	150	14	is	be	AUX
cord-186927-b8i85vo7	150	15	required	require	VERB
cord-186927-b8i85vo7	150	16	on	on	ADP
cord-186927-b8i85vo7	150	17	the	the	DET
cord-186927-b8i85vo7	150	18	population	population	NOUN
cord-186927-b8i85vo7	150	19	side	side	NOUN
cord-186927-b8i85vo7	150	20	,	,	PUNCT
cord-186927-b8i85vo7	150	21	so	so	SCONJ
cord-186927-b8i85vo7	150	22	individuals	individual	NOUN
cord-186927-b8i85vo7	150	23	can	can	AUX
cord-186927-b8i85vo7	150	24	interact	interact	VERB
cord-186927-b8i85vo7	150	25	almost	almost	ADV
cord-186927-b8i85vo7	150	26	in	in	ADP
cord-186927-b8i85vo7	150	27	a	a	DET
cord-186927-b8i85vo7	150	28	business	business	NOUN
cord-186927-b8i85vo7	150	29	-	-	PUNCT
cord-186927-b8i85vo7	150	30	as	as	ADP
cord-186927-b8i85vo7	150	31	-	-	PUNCT
cord-186927-b8i85vo7	150	32	usual	usual	ADJ
cord-186927-b8i85vo7	150	33	fashion	fashion	NOUN
cord-186927-b8i85vo7	150	34	,	,	PUNCT
cord-186927-b8i85vo7	150	35	and	and	CCONJ
cord-186927-b8i85vo7	150	36	the	the	DET
cord-186927-b8i85vo7	150	37	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	150	38	is	be	AUX
cord-186927-b8i85vo7	150	39	largely	largely	ADV
cord-186927-b8i85vo7	150	40	contained	contain	VERB
cord-186927-b8i85vo7	150	41	by	by	ADP
cord-186927-b8i85vo7	150	42	the	the	DET
cord-186927-b8i85vo7	150	43	targeted	target	VERB
cord-186927-b8i85vo7	150	44	isolation	isolation	NOUN
cord-186927-b8i85vo7	150	45	of	of	ADP
cord-186927-b8i85vo7	150	46	positively	positively	ADV
cord-186927-b8i85vo7	150	47	-	-	PUNCT
cord-186927-b8i85vo7	150	48	tested	test	VERB
cord-186927-b8i85vo7	150	49	individuals	individual	NOUN
cord-186927-b8i85vo7	150	50	.	.	PUNCT
cord-186927-b8i85vo7	151	1	we	we	PRON
cord-186927-b8i85vo7	151	2	let	let	VERB
cord-186927-b8i85vo7	151	3	n	n	ADV
cord-186927-b8i85vo7	151	4	be	be	AUX
cord-186927-b8i85vo7	151	5	the	the	DET
cord-186927-b8i85vo7	151	6	set	set	NOUN
cord-186927-b8i85vo7	151	7	of	of	ADP
cord-186927-b8i85vo7	151	8	positive	positive	ADJ
cord-186927-b8i85vo7	151	9	integers	integer	NOUN
cord-186927-b8i85vo7	151	10	,	,	PUNCT
cord-186927-b8i85vo7	151	11	r	r	NOUN
cord-186927-b8i85vo7	151	12	+	+	PUNCT
cord-186927-b8i85vo7	151	13	:	:	PUNCT
cord-186927-b8i85vo7	152	1	=	=	NOUN
cord-186927-b8i85vo7	152	2	[	[	X
cord-186927-b8i85vo7	152	3	0	0	NUM
cord-186927-b8i85vo7	152	4	,	,	PUNCT
cord-186927-b8i85vo7	152	5	∞	∞	NUM
cord-186927-b8i85vo7	152	6	)	)	PUNCT
cord-186927-b8i85vo7	152	7	and	and	CCONJ
cord-186927-b8i85vo7	152	8	r	r	NOUN
cord-186927-b8i85vo7	152	9	+	+	PUNCT
cord-186927-b8i85vo7	152	10	:	:	PUNCT
cord-186927-b8i85vo7	152	11	=	=	PROPN
cord-186927-b8i85vo7	152	12	(	(	PUNCT
cord-186927-b8i85vo7	152	13	0	0	NUM
cord-186927-b8i85vo7	152	14	,	,	PUNCT
cord-186927-b8i85vo7	152	15	∞	∞	NUM
cord-186927-b8i85vo7	152	16	)	)	PUNCT
cord-186927-b8i85vo7	152	17	.	.	PUNCT
cord-186927-b8i85vo7	153	1	we	we	PRON
cord-186927-b8i85vo7	153	2	fix	fix	VERB
cord-186927-b8i85vo7	153	3	a	a	DET
cord-186927-b8i85vo7	153	4	time	time	NOUN
cord-186927-b8i85vo7	153	5	horizon	horizon	VERB
cord-186927-b8i85vo7	153	6	t	t	PROPN
cord-186927-b8i85vo7	153	7	>	>	X
cord-186927-b8i85vo7	153	8	0	0	PUNCT
cord-186927-b8i85vo7	153	9	corresponding	correspond	VERB
cord-186927-b8i85vo7	153	10	to	to	ADP
cord-186927-b8i85vo7	153	11	the	the	DET
cord-186927-b8i85vo7	153	12	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	153	13	length	length	NOUN
cord-186927-b8i85vo7	153	14	chosen	choose	VERB
cord-186927-b8i85vo7	153	15	,	,	PUNCT
cord-186927-b8i85vo7	153	16	a	a	DET
cord-186927-b8i85vo7	153	17	priori	priori	X
cord-186927-b8i85vo7	153	18	,	,	PUNCT
cord-186927-b8i85vo7	153	19	by	by	ADP
cord-186927-b8i85vo7	153	20	the	the	DET
cord-186927-b8i85vo7	153	21	government	government	NOUN
cord-186927-b8i85vo7	153	22	.	.	PUNCT
cord-186927-b8i85vo7	154	1	for	for	ADP
cord-186927-b8i85vo7	154	2	every	every	DET
cord-186927-b8i85vo7	154	3	n	n	ADV
cord-186927-b8i85vo7	154	4	∈	∈	PROPN
cord-186927-b8i85vo7	154	5	n	n	NOUN
cord-186927-b8i85vo7	154	6	,	,	PUNCT
cord-186927-b8i85vo7	154	7	s	s	PROPN
cord-186927-b8i85vo7	154	8	n	n	CCONJ
cord-186927-b8i85vo7	154	9	represents	represent	VERB
cord-186927-b8i85vo7	154	10	the	the	DET
cord-186927-b8i85vo7	154	11	set	set	NOUN
cord-186927-b8i85vo7	154	12	of	of	ADP
cord-186927-b8i85vo7	154	13	n	n	NOUN
cord-186927-b8i85vo7	154	14	×	×	PROPN
cord-186927-b8i85vo7	154	15	n	n	NOUN
cord-186927-b8i85vo7	154	16	symmetric	symmetric	ADJ
cord-186927-b8i85vo7	154	17	positive	positive	ADJ
cord-186927-b8i85vo7	154	18	matrices	matrix	NOUN
cord-186927-b8i85vo7	154	19	with	with	ADP
cord-186927-b8i85vo7	154	20	real	real	ADJ
cord-186927-b8i85vo7	154	21	entries	entry	NOUN
cord-186927-b8i85vo7	154	22	.	.	PUNCT
cord-186927-b8i85vo7	155	1	we	we	PRON
cord-186927-b8i85vo7	155	2	also	also	ADV
cord-186927-b8i85vo7	155	3	denote	denote	VERB
cord-186927-b8i85vo7	155	4	by	by	ADP
cord-186927-b8i85vo7	155	5	c	c	PROPN
cord-186927-b8i85vo7	155	6	n	n	NOUN
cord-186927-b8i85vo7	155	7	the	the	DET
cord-186927-b8i85vo7	155	8	space	space	NOUN
cord-186927-b8i85vo7	155	9	of	of	ADP
cord-186927-b8i85vo7	155	10	continuous	continuous	ADJ
cord-186927-b8i85vo7	155	11	functions	function	NOUN
cord-186927-b8i85vo7	155	12	from	from	ADP
cord-186927-b8i85vo7	155	13	[	[	X
cord-186927-b8i85vo7	155	14	0	0	NUM
cord-186927-b8i85vo7	155	15	,	,	PUNCT
cord-186927-b8i85vo7	155	16	t	t	NOUN
cord-186927-b8i85vo7	155	17	]	]	PUNCT
cord-186927-b8i85vo7	155	18	into	into	ADP
cord-186927-b8i85vo7	155	19	r	r	PROPN
cord-186927-b8i85vo7	155	20	n	n	NOUN
cord-186927-b8i85vo7	155	21	,	,	PUNCT
cord-186927-b8i85vo7	155	22	and	and	CCONJ
cord-186927-b8i85vo7	155	23	simplify	simplify	VERB
cord-186927-b8i85vo7	155	24	notations	notation	NOUN
cord-186927-b8i85vo7	155	25	when	when	SCONJ
cord-186927-b8i85vo7	155	26	n	n	NOUN
cord-186927-b8i85vo7	155	27	=	=	NOUN
cord-186927-b8i85vo7	155	28	1	1	NUM
cord-186927-b8i85vo7	155	29	by	by	ADP
cord-186927-b8i85vo7	155	30	setting	set	VERB
cord-186927-b8i85vo7	155	31	c	c	NOUN
cord-186927-b8i85vo7	155	32	:	:	PUNCT
cord-186927-b8i85vo7	155	33	=	=	SYM
cord-186927-b8i85vo7	155	34	c	c	NOUN
cord-186927-b8i85vo7	155	35	1	1	NUM
cord-186927-b8i85vo7	155	36	.	.	PUNCT
cord-186927-b8i85vo7	156	1	the	the	DET
cord-186927-b8i85vo7	156	2	set	set	NOUN
cord-186927-b8i85vo7	156	3	c	c	PROPN
cord-186927-b8i85vo7	156	4	n	n	CCONJ
cord-186927-b8i85vo7	156	5	will	will	AUX
cord-186927-b8i85vo7	156	6	always	always	ADV
cord-186927-b8i85vo7	156	7	be	be	AUX
cord-186927-b8i85vo7	156	8	endowed	endow	VERB
cord-186927-b8i85vo7	156	9	with	with	ADP
cord-186927-b8i85vo7	156	10	the	the	DET
cord-186927-b8i85vo7	156	11	topology	topology	NOUN
cord-186927-b8i85vo7	156	12	associated	associate	VERB
cord-186927-b8i85vo7	156	13	to	to	ADP
cord-186927-b8i85vo7	156	14	the	the	DET
cord-186927-b8i85vo7	156	15	uniform	uniform	ADJ
cord-186927-b8i85vo7	156	16	convergence	convergence	NOUN
cord-186927-b8i85vo7	156	17	on	on	ADP
cord-186927-b8i85vo7	156	18	the	the	DET
cord-186927-b8i85vo7	156	19	compact	compact	NOUN
cord-186927-b8i85vo7	156	20	[	[	ADP
cord-186927-b8i85vo7	156	21	0	0	NUM
cord-186927-b8i85vo7	156	22	,	,	PUNCT
cord-186927-b8i85vo7	156	23	t	t	NOUN
cord-186927-b8i85vo7	156	24	]	]	X
cord-186927-b8i85vo7	156	25	.	.	PUNCT
cord-186927-b8i85vo7	157	1	for	for	ADP
cord-186927-b8i85vo7	157	2	every	every	DET
cord-186927-b8i85vo7	157	3	finite	finite	ADJ
cord-186927-b8i85vo7	157	4	dimensional	dimensional	ADJ
cord-186927-b8i85vo7	157	5	euclidean	euclidean	NOUN
cord-186927-b8i85vo7	157	6	space	space	NOUN
cord-186927-b8i85vo7	157	7	e	e	NOUN
cord-186927-b8i85vo7	157	8	,	,	PUNCT
cord-186927-b8i85vo7	157	9	and	and	CCONJ
cord-186927-b8i85vo7	157	10	any	any	DET
cord-186927-b8i85vo7	157	11	n	n	ADV
cord-186927-b8i85vo7	157	12	∈	∈	PROPN
cord-186927-b8i85vo7	157	13	n	n	ADV
cord-186927-b8i85vo7	157	14	,	,	PUNCT
cord-186927-b8i85vo7	157	15	we	we	PRON
cord-186927-b8i85vo7	157	16	let	let	VERB
cord-186927-b8i85vo7	157	17	c	c	NOUN
cord-186927-b8i85vo7	157	18	b	b	X
cord-186927-b8i85vo7	157	19	(	(	PUNCT
cord-186927-b8i85vo7	157	20	e	e	PROPN
cord-186927-b8i85vo7	157	21	,	,	PUNCT
cord-186927-b8i85vo7	157	22	r	r	NOUN
cord-186927-b8i85vo7	157	23	)	)	PUNCT
cord-186927-b8i85vo7	157	24	be	be	AUX
cord-186927-b8i85vo7	157	25	the	the	DET
cord-186927-b8i85vo7	157	26	space	space	NOUN
cord-186927-b8i85vo7	157	27	of	of	ADP
cord-186927-b8i85vo7	157	28	bounded	bound	VERB
cord-186927-b8i85vo7	157	29	,	,	PUNCT
cord-186927-b8i85vo7	157	30	continuous	continuous	ADJ
cord-186927-b8i85vo7	157	31	functions	function	NOUN
cord-186927-b8i85vo7	157	32	from	from	ADP
cord-186927-b8i85vo7	157	33	e	e	PROPN
cord-186927-b8i85vo7	157	34	to	to	ADP
cord-186927-b8i85vo7	157	35	r	r	NOUN
cord-186927-b8i85vo7	157	36	,	,	PUNCT
cord-186927-b8i85vo7	157	37	as	as	ADV
cord-186927-b8i85vo7	157	38	well	well	ADV
cord-186927-b8i85vo7	157	39	as	as	ADP
cord-186927-b8i85vo7	157	40	c	c	PROPN
cord-186927-b8i85vo7	157	41	n	n	NOUN
cord-186927-b8i85vo7	157	42	b	b	PROPN
cord-186927-b8i85vo7	157	43	(	(	PUNCT
cord-186927-b8i85vo7	157	44	e	e	PROPN
cord-186927-b8i85vo7	157	45	,	,	PUNCT
cord-186927-b8i85vo7	157	46	r	r	PROPN
cord-186927-b8i85vo7	157	47	)	)	PUNCT
cord-186927-b8i85vo7	157	48	the	the	DET
cord-186927-b8i85vo7	157	49	subset	subset	NOUN
cord-186927-b8i85vo7	157	50	of	of	ADP
cord-186927-b8i85vo7	157	51	c	c	PROPN
cord-186927-b8i85vo7	157	52	b	b	PROPN
cord-186927-b8i85vo7	157	53	(	(	PUNCT
cord-186927-b8i85vo7	157	54	e	e	PROPN
cord-186927-b8i85vo7	157	55	,	,	PUNCT
cord-186927-b8i85vo7	157	56	r	r	NOUN
cord-186927-b8i85vo7	157	57	)	)	PUNCT
cord-186927-b8i85vo7	157	58	of	of	ADP
cord-186927-b8i85vo7	157	59	all	all	DET
cord-186927-b8i85vo7	157	60	n	n	NOUN
cord-186927-b8i85vo7	157	61	-	-	PUNCT
cord-186927-b8i85vo7	157	62	times	time	NOUN
cord-186927-b8i85vo7	157	63	continuously	continuously	ADV
cord-186927-b8i85vo7	157	64	differentiable	differentiable	ADJ
cord-186927-b8i85vo7	157	65	functions	function	NOUN
cord-186927-b8i85vo7	157	66	on	on	ADP
cord-186927-b8i85vo7	157	67	e	e	PROPN
cord-186927-b8i85vo7	157	68	,	,	PUNCT
cord-186927-b8i85vo7	157	69	with	with	ADP
cord-186927-b8i85vo7	157	70	bounded	bounded	ADJ
cord-186927-b8i85vo7	157	71	derivatives	derivative	NOUN
cord-186927-b8i85vo7	157	72	.	.	PUNCT
cord-186927-b8i85vo7	158	1	for	for	ADP
cord-186927-b8i85vo7	158	2	every	every	PRON
cord-186927-b8i85vo7	158	3	ϕ	ϕ	PROPN
cord-186927-b8i85vo7	158	4	∈	∈	PROPN
cord-186927-b8i85vo7	159	1	c	c	NOUN
cord-186927-b8i85vo7	159	2	2	2	NUM
cord-186927-b8i85vo7	159	3	b	b	NUM
cord-186927-b8i85vo7	159	4	(	(	PUNCT
cord-186927-b8i85vo7	159	5	e	e	NOUN
cord-186927-b8i85vo7	159	6	,	,	PUNCT
cord-186927-b8i85vo7	159	7	r	r	NOUN
cord-186927-b8i85vo7	159	8	)	)	PUNCT
cord-186927-b8i85vo7	159	9	,	,	PUNCT
cord-186927-b8i85vo7	159	10	we	we	PRON
cord-186927-b8i85vo7	159	11	denote	denote	VERB
cord-186927-b8i85vo7	159	12	by	by	ADP
cord-186927-b8i85vo7	159	13	∇ϕ	∇ϕ	PROPN
cord-186927-b8i85vo7	159	14	its	its	PRON
cord-186927-b8i85vo7	159	15	gradient	gradient	ADJ
cord-186927-b8i85vo7	159	16	vector	vector	NOUN
cord-186927-b8i85vo7	159	17	,	,	PUNCT
cord-186927-b8i85vo7	159	18	and	and	CCONJ
cord-186927-b8i85vo7	159	19	by	by	ADP
cord-186927-b8i85vo7	159	20	d	d	PROPN
cord-186927-b8i85vo7	159	21	2	2	NUM
cord-186927-b8i85vo7	159	22	ϕ	ϕ	NUM
cord-186927-b8i85vo7	160	1	its	its	PRON
cord-186927-b8i85vo7	160	2	hessian	hessian	ADJ
cord-186927-b8i85vo7	160	3	matrix	matrix	NOUN
cord-186927-b8i85vo7	160	4	.	.	PUNCT
cord-186927-b8i85vo7	161	1	in	in	ADP
cord-186927-b8i85vo7	161	2	this	this	DET
cord-186927-b8i85vo7	161	3	section	section	NOUN
cord-186927-b8i85vo7	161	4	,	,	PUNCT
cord-186927-b8i85vo7	161	5	in	in	ADP
cord-186927-b8i85vo7	161	6	order	order	NOUN
cord-186927-b8i85vo7	161	7	to	to	PART
cord-186927-b8i85vo7	161	8	highlight	highlight	VERB
cord-186927-b8i85vo7	161	9	the	the	DET
cord-186927-b8i85vo7	161	10	results	result	NOUN
cord-186927-b8i85vo7	161	11	we	we	PRON
cord-186927-b8i85vo7	161	12	obtained	obtain	VERB
cord-186927-b8i85vo7	161	13	throughout	throughout	ADP
cord-186927-b8i85vo7	161	14	this	this	DET
cord-186927-b8i85vo7	161	15	paper	paper	NOUN
cord-186927-b8i85vo7	161	16	,	,	PUNCT
cord-186927-b8i85vo7	161	17	we	we	PRON
cord-186927-b8i85vo7	161	18	present	present	VERB
cord-186927-b8i85vo7	161	19	our	our	PRON
cord-186927-b8i85vo7	161	20	model	model	NOUN
cord-186927-b8i85vo7	161	21	in	in	ADP
cord-186927-b8i85vo7	161	22	an	an	DET
cord-186927-b8i85vo7	161	23	informal	informal	ADJ
cord-186927-b8i85vo7	161	24	way	way	NOUN
cord-186927-b8i85vo7	161	25	.	.	PUNCT
cord-186927-b8i85vo7	162	1	we	we	PRON
cord-186927-b8i85vo7	162	2	thus	thus	ADV
cord-186927-b8i85vo7	162	3	detail	detail	VERB
cord-186927-b8i85vo7	162	4	the	the	DET
cord-186927-b8i85vo7	162	5	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	162	6	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	162	7	models	model	NOUN
cord-186927-b8i85vo7	162	8	we	we	PRON
cord-186927-b8i85vo7	162	9	consider	consider	VERB
cord-186927-b8i85vo7	162	10	to	to	PART
cord-186927-b8i85vo7	162	11	represent	represent	VERB
cord-186927-b8i85vo7	162	12	the	the	DET
cord-186927-b8i85vo7	162	13	spreading	spreading	NOUN
cord-186927-b8i85vo7	162	14	of	of	ADP
cord-186927-b8i85vo7	162	15	the	the	DET
cord-186927-b8i85vo7	162	16	virus	virus	NOUN
cord-186927-b8i85vo7	162	17	,	,	PUNCT
cord-186927-b8i85vo7	162	18	i.e.	i.e.	X
cord-186927-b8i85vo7	162	19	,	,	PUNCT
cord-186927-b8i85vo7	162	20	either	either	CCONJ
cord-186927-b8i85vo7	162	21	a	a	DET
cord-186927-b8i85vo7	162	22	sis	sis	NOUN
cord-186927-b8i85vo7	162	23	or	or	CCONJ
cord-186927-b8i85vo7	162	24	a	a	DET
cord-186927-b8i85vo7	162	25	sir	sir	PROPN
cord-186927-b8i85vo7	162	26	model	model	NOUN
cord-186927-b8i85vo7	162	27	.	.	PUNCT
cord-186927-b8i85vo7	163	1	indeed	indeed	ADV
cord-186927-b8i85vo7	163	2	,	,	PUNCT
cord-186927-b8i85vo7	163	3	at	at	ADP
cord-186927-b8i85vo7	163	4	the	the	DET
cord-186927-b8i85vo7	163	5	beginning	beginning	NOUN
cord-186927-b8i85vo7	163	6	of	of	ADP
cord-186927-b8i85vo7	163	7	an	an	DET
cord-186927-b8i85vo7	163	8	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	163	9	,	,	PUNCT
cord-186927-b8i85vo7	163	10	it	it	PRON
cord-186927-b8i85vo7	163	11	is	be	AUX
cord-186927-b8i85vo7	163	12	unlikely	unlikely	ADJ
cord-186927-b8i85vo7	163	13	that	that	SCONJ
cord-186927-b8i85vo7	163	14	decision	decision	NOUN
cord-186927-b8i85vo7	163	15	-	-	PUNCT
cord-186927-b8i85vo7	163	16	makers	maker	NOUN
cord-186927-b8i85vo7	163	17	,	,	PUNCT
cord-186927-b8i85vo7	163	18	let	let	VERB
cord-186927-b8i85vo7	163	19	alone	alone	ADV
cord-186927-b8i85vo7	163	20	the	the	DET
cord-186927-b8i85vo7	163	21	population	population	NOUN
cord-186927-b8i85vo7	163	22	,	,	PUNCT
cord-186927-b8i85vo7	163	23	will	will	AUX
cord-186927-b8i85vo7	163	24	have	have	VERB
cord-186927-b8i85vo7	163	25	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	163	26	data	datum	NOUN
cord-186927-b8i85vo7	163	27	to	to	PART
cord-186927-b8i85vo7	163	28	conclude	conclude	VERB
cord-186927-b8i85vo7	163	29	that	that	SCONJ
cord-186927-b8i85vo7	163	30	infected	infect	VERB
cord-186927-b8i85vo7	163	31	individuals	individual	NOUN
cord-186927-b8i85vo7	163	32	become	become	VERB
cord-186927-b8i85vo7	163	33	immune	immune	ADJ
cord-186927-b8i85vo7	163	34	to	to	ADP
cord-186927-b8i85vo7	163	35	the	the	DET
cord-186927-b8i85vo7	163	36	virus	virus	NOUN
cord-186927-b8i85vo7	163	37	in	in	ADP
cord-186927-b8i85vo7	163	38	question	question	NOUN
cord-186927-b8i85vo7	163	39	once	once	SCONJ
cord-186927-b8i85vo7	163	40	they	they	PRON
cord-186927-b8i85vo7	163	41	have	have	AUX
cord-186927-b8i85vo7	163	42	recovered	recover	VERB
cord-186927-b8i85vo7	163	43	.	.	PUNCT
cord-186927-b8i85vo7	164	1	this	this	PRON
cord-186927-b8i85vo7	164	2	is	be	AUX
cord-186927-b8i85vo7	164	3	particularly	particularly	ADV
cord-186927-b8i85vo7	164	4	the	the	DET
cord-186927-b8i85vo7	164	5	case	case	NOUN
cord-186927-b8i85vo7	164	6	when	when	SCONJ
cord-186927-b8i85vo7	164	7	the	the	DET
cord-186927-b8i85vo7	164	8	virus	virus	NOUN
cord-186927-b8i85vo7	164	9	is	be	AUX
cord-186927-b8i85vo7	164	10	new	new	ADJ
cord-186927-b8i85vo7	164	11	,	,	PUNCT
cord-186927-b8i85vo7	164	12	as	as	ADP
cord-186927-b8i85vo7	164	13	in	in	ADP
cord-186927-b8i85vo7	164	14	the	the	DET
cord-186927-b8i85vo7	164	15	case	case	NOUN
cord-186927-b8i85vo7	164	16	of	of	ADP
cord-186927-b8i85vo7	164	17	the	the	DET
cord-186927-b8i85vo7	164	18	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	164	19	.	.	PUNCT
cord-186927-b8i85vo7	165	1	with	with	ADP
cord-186927-b8i85vo7	165	2	this	this	PRON
cord-186927-b8i85vo7	165	3	in	in	ADP
cord-186927-b8i85vo7	165	4	mind	mind	NOUN
cord-186927-b8i85vo7	165	5	,	,	PUNCT
cord-186927-b8i85vo7	165	6	we	we	PRON
cord-186927-b8i85vo7	165	7	concentrate	concentrate	VERB
cord-186927-b8i85vo7	165	8	our	our	PRON
cord-186927-b8i85vo7	165	9	attention	attention	NOUN
cord-186927-b8i85vo7	165	10	to	to	ADP
cord-186927-b8i85vo7	165	11	two	two	NUM
cord-186927-b8i85vo7	165	12	classical	classical	ADJ
cord-186927-b8i85vo7	165	13	models	model	NOUN
cord-186927-b8i85vo7	165	14	in	in	ADP
cord-186927-b8i85vo7	165	15	epidemiology	epidemiology	NOUN
cord-186927-b8i85vo7	165	16	:	:	PUNCT
cord-186927-b8i85vo7	165	17	the	the	DET
cord-186927-b8i85vo7	165	18	sis	sis	NOUN
cord-186927-b8i85vo7	165	19	model	model	NOUN
cord-186927-b8i85vo7	165	20	,	,	PUNCT
cord-186927-b8i85vo7	165	21	for	for	ADP
cord-186927-b8i85vo7	165	22	the	the	DET
cord-186927-b8i85vo7	165	23	case	case	NOUN
cord-186927-b8i85vo7	165	24	where	where	SCONJ
cord-186927-b8i85vo7	165	25	infected	infected	ADJ
cord-186927-b8i85vo7	165	26	individuals	individual	NOUN
cord-186927-b8i85vo7	165	27	do	do	AUX
cord-186927-b8i85vo7	165	28	not	not	PART
cord-186927-b8i85vo7	165	29	develop	develop	VERB
cord-186927-b8i85vo7	165	30	an	an	DET
cord-186927-b8i85vo7	165	31	immunity	immunity	NOUN
cord-186927-b8i85vo7	165	32	to	to	ADP
cord-186927-b8i85vo7	165	33	the	the	DET
cord-186927-b8i85vo7	165	34	disease	disease	NOUN
cord-186927-b8i85vo7	165	35	,	,	PUNCT
cord-186927-b8i85vo7	165	36	and	and	CCONJ
cord-186927-b8i85vo7	165	37	can	can	AUX
cord-186927-b8i85vo7	165	38	therefore	therefore	ADV
cord-186927-b8i85vo7	165	39	re	re	VERB
cord-186927-b8i85vo7	165	40	-	-	VERB
cord-186927-b8i85vo7	165	41	contract	contract	VERB
cord-186927-b8i85vo7	165	42	it	it	PRON
cord-186927-b8i85vo7	165	43	,	,	PUNCT
cord-186927-b8i85vo7	165	44	and	and	CCONJ
cord-186927-b8i85vo7	165	45	the	the	DET
cord-186927-b8i85vo7	165	46	sir	sir	PROPN
cord-186927-b8i85vo7	165	47	model	model	NOUN
cord-186927-b8i85vo7	165	48	in	in	ADP
cord-186927-b8i85vo7	165	49	the	the	DET
cord-186927-b8i85vo7	165	50	opposite	opposite	ADJ
cord-186927-b8i85vo7	165	51	case	case	NOUN
cord-186927-b8i85vo7	165	52	.	.	PUNCT
cord-186927-b8i85vo7	166	1	our	our	PRON
cord-186927-b8i85vo7	166	2	study	study	NOUN
cord-186927-b8i85vo7	166	3	is	be	AUX
cord-186927-b8i85vo7	166	4	therefore	therefore	ADV
cord-186927-b8i85vo7	166	5	able	able	ADJ
cord-186927-b8i85vo7	166	6	to	to	PART
cord-186927-b8i85vo7	166	7	deal	deal	VERB
cord-186927-b8i85vo7	166	8	with	with	ADP
cord-186927-b8i85vo7	166	9	both	both	DET
cord-186927-b8i85vo7	166	10	models	model	NOUN
cord-186927-b8i85vo7	166	11	,	,	PUNCT
cord-186927-b8i85vo7	166	12	and	and	CCONJ
cord-186927-b8i85vo7	166	13	one	one	NUM
cord-186927-b8i85vo7	166	14	of	of	ADP
cord-186927-b8i85vo7	166	15	the	the	DET
cord-186927-b8i85vo7	166	16	important	important	ADJ
cord-186927-b8i85vo7	166	17	points	point	NOUN
cord-186927-b8i85vo7	166	18	will	will	AUX
cord-186927-b8i85vo7	166	19	be	be	AUX
cord-186927-b8i85vo7	166	20	to	to	PART
cord-186927-b8i85vo7	166	21	compare	compare	VERB
cord-186927-b8i85vo7	166	22	the	the	DET
cord-186927-b8i85vo7	166	23	results	result	NOUN
cord-186927-b8i85vo7	166	24	obtained	obtain	VERB
cord-186927-b8i85vo7	166	25	for	for	ADP
cord-186927-b8i85vo7	166	26	each	each	PRON
cord-186927-b8i85vo7	166	27	of	of	ADP
cord-186927-b8i85vo7	166	28	them	they	PRON
cord-186927-b8i85vo7	166	29	.	.	PUNCT
cord-186927-b8i85vo7	167	1	we	we	PRON
cord-186927-b8i85vo7	167	2	insist	insist	VERB
cord-186927-b8i85vo7	167	3	on	on	ADP
cord-186927-b8i85vo7	167	4	the	the	DET
cord-186927-b8i85vo7	167	5	fact	fact	NOUN
cord-186927-b8i85vo7	167	6	that	that	SCONJ
cord-186927-b8i85vo7	167	7	this	this	DET
cord-186927-b8i85vo7	167	8	entire	entire	ADJ
cord-186927-b8i85vo7	167	9	section	section	NOUN
cord-186927-b8i85vo7	167	10	is	be	AUX
cord-186927-b8i85vo7	167	11	informal	informal	ADJ
cord-186927-b8i85vo7	167	12	,	,	PUNCT
cord-186927-b8i85vo7	167	13	and	and	CCONJ
cord-186927-b8i85vo7	167	14	the	the	DET
cord-186927-b8i85vo7	167	15	reader	reader	NOUN
cord-186927-b8i85vo7	167	16	is	be	AUX
cord-186927-b8i85vo7	167	17	referred	refer	VERB
cord-186927-b8i85vo7	167	18	to	to	ADP
cord-186927-b8i85vo7	167	19	section	section	NOUN
cord-186927-b8i85vo7	167	20	4	4	NUM
cord-186927-b8i85vo7	167	21	for	for	ADP
cord-186927-b8i85vo7	167	22	the	the	DET
cord-186927-b8i85vo7	167	23	rigorous	rigorous	ADJ
cord-186927-b8i85vo7	167	24	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	167	25	study	study	NOUN
cord-186927-b8i85vo7	167	26	.	.	PUNCT
cord-186927-b8i85vo7	168	1	some	some	DET
cord-186927-b8i85vo7	168	2	parameters	parameter	NOUN
cord-186927-b8i85vo7	168	3	will	will	AUX
cord-186927-b8i85vo7	168	4	be	be	AUX
cord-186927-b8i85vo7	168	5	common	common	ADJ
cord-186927-b8i85vo7	168	6	in	in	ADP
cord-186927-b8i85vo7	168	7	the	the	DET
cord-186927-b8i85vo7	168	8	considered	considered	ADJ
cord-186927-b8i85vo7	168	9	models	model	NOUN
cord-186927-b8i85vo7	168	10	.	.	PUNCT
cord-186927-b8i85vo7	169	1	in	in	ADP
cord-186927-b8i85vo7	169	2	particular	particular	ADJ
cord-186927-b8i85vo7	169	3	,	,	PUNCT
cord-186927-b8i85vo7	169	4	they	they	PRON
cord-186927-b8i85vo7	169	5	both	both	PRON
cord-186927-b8i85vo7	169	6	involve	involve	VERB
cord-186927-b8i85vo7	169	7	four	four	NUM
cord-186927-b8i85vo7	169	8	non	non	ADJ
cord-186927-b8i85vo7	169	9	-	-	ADJ
cord-186927-b8i85vo7	169	10	negative	negative	ADJ
cord-186927-b8i85vo7	169	11	parameters	parameter	NOUN
cord-186927-b8i85vo7	169	12	,	,	PUNCT
cord-186927-b8i85vo7	169	13	λ	λ	PROPN
cord-186927-b8i85vo7	169	14	,	,	PUNCT
cord-186927-b8i85vo7	169	15	µ	µ	PROPN
cord-186927-b8i85vo7	169	16	,	,	PUNCT
cord-186927-b8i85vo7	169	17	β	β	PROPN
cord-186927-b8i85vo7	169	18	and	and	CCONJ
cord-186927-b8i85vo7	169	19	γ	γ	PROPN
cord-186927-b8i85vo7	169	20	.	.	PUNCT
cord-186927-b8i85vo7	170	1	the	the	DET
cord-186927-b8i85vo7	170	2	parameters	parameter	NOUN
cord-186927-b8i85vo7	170	3	λ	λ	PROPN
cord-186927-b8i85vo7	170	4	and	and	CCONJ
cord-186927-b8i85vo7	170	5	µ	µ	NOUN
cord-186927-b8i85vo7	170	6	represent	represent	VERB
cord-186927-b8i85vo7	170	7	respectively	respectively	ADV
cord-186927-b8i85vo7	170	8	the	the	DET
cord-186927-b8i85vo7	170	9	birth	birth	NOUN
cord-186927-b8i85vo7	170	10	and	and	CCONJ
cord-186927-b8i85vo7	170	11	(	(	PUNCT
cord-186927-b8i85vo7	170	12	natural	natural	ADJ
cord-186927-b8i85vo7	170	13	)	)	PUNCT
cord-186927-b8i85vo7	170	14	death	death	NOUN
cord-186927-b8i85vo7	170	15	rates	rate	NOUN
cord-186927-b8i85vo7	170	16	among	among	ADP
cord-186927-b8i85vo7	170	17	the	the	DET
cord-186927-b8i85vo7	170	18	population	population	NOUN
cord-186927-b8i85vo7	170	19	,	,	PUNCT
cord-186927-b8i85vo7	170	20	and	and	CCONJ
cord-186927-b8i85vo7	170	21	therefore	therefore	ADV
cord-186927-b8i85vo7	170	22	reflect	reflect	VERB
cord-186927-b8i85vo7	170	23	the	the	DET
cord-186927-b8i85vo7	170	24	demographic	demographic	ADJ
cord-186927-b8i85vo7	170	25	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	170	26	unrelated	unrelated	ADJ
cord-186927-b8i85vo7	170	27	to	to	ADP
cord-186927-b8i85vo7	170	28	the	the	DET
cord-186927-b8i85vo7	170	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	170	30	4	4	NUM
cord-186927-b8i85vo7	170	31	,	,	PUNCT
cord-186927-b8i85vo7	170	32	while	while	SCONJ
cord-186927-b8i85vo7	170	33	γ	γ	PRON
cord-186927-b8i85vo7	170	34	represents	represent	VERB
cord-186927-b8i85vo7	170	35	the	the	DET
cord-186927-b8i85vo7	170	36	death	death	NOUN
cord-186927-b8i85vo7	170	37	rate	rate	NOUN
cord-186927-b8i85vo7	170	38	associated	associate	VERB
cord-186927-b8i85vo7	170	39	to	to	ADP
cord-186927-b8i85vo7	170	40	the	the	DET
cord-186927-b8i85vo7	170	41	disease	disease	NOUN
cord-186927-b8i85vo7	170	42	.	.	PUNCT
cord-186927-b8i85vo7	171	1	all	all	DET
cord-186927-b8i85vo7	171	2	these	these	DET
cord-186927-b8i85vo7	171	3	parameters	parameter	NOUN
cord-186927-b8i85vo7	171	4	are	be	AUX
cord-186927-b8i85vo7	171	5	assumed	assume	VERB
cord-186927-b8i85vo7	171	6	to	to	PART
cord-186927-b8i85vo7	171	7	be	be	AUX
cord-186927-b8i85vo7	171	8	constant	constant	ADJ
cord-186927-b8i85vo7	171	9	and	and	CCONJ
cord-186927-b8i85vo7	171	10	exogenous	exogenous	ADJ
cord-186927-b8i85vo7	171	11	.	.	PUNCT
cord-186927-b8i85vo7	172	1	in	in	ADP
cord-186927-b8i85vo7	172	2	most	most	ADJ
cord-186927-b8i85vo7	172	3	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	172	4	models	model	NOUN
cord-186927-b8i85vo7	172	5	,	,	PUNCT
cord-186927-b8i85vo7	172	6	the	the	DET
cord-186927-b8i85vo7	172	7	parameter	parameter	NOUN
cord-186927-b8i85vo7	172	8	β	β	NOUN
cord-186927-b8i85vo7	172	9	,	,	PUNCT
cord-186927-b8i85vo7	172	10	representing	represent	VERB
cord-186927-b8i85vo7	172	11	the	the	DET
cord-186927-b8i85vo7	172	12	transmission	transmission	NOUN
cord-186927-b8i85vo7	172	13	rate	rate	NOUN
cord-186927-b8i85vo7	172	14	of	of	ADP
cord-186927-b8i85vo7	172	15	the	the	DET
cord-186927-b8i85vo7	172	16	disease	disease	NOUN
cord-186927-b8i85vo7	172	17	,	,	PUNCT
cord-186927-b8i85vo7	172	18	is	be	AUX
cord-186927-b8i85vo7	172	19	also	also	ADV
cord-186927-b8i85vo7	172	20	assumed	assume	VERB
cord-186927-b8i85vo7	172	21	to	to	PART
cord-186927-b8i85vo7	172	22	be	be	AUX
cord-186927-b8i85vo7	172	23	constant	constant	ADJ
cord-186927-b8i85vo7	172	24	and	and	CCONJ
cord-186927-b8i85vo7	172	25	exogenous	exogenous	ADJ
cord-186927-b8i85vo7	172	26	.	.	PUNCT
cord-186927-b8i85vo7	173	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	173	2	,	,	PUNCT
cord-186927-b8i85vo7	173	3	in	in	ADP
cord-186927-b8i85vo7	173	4	our	our	PRON
cord-186927-b8i85vo7	173	5	framework	framework	NOUN
cord-186927-b8i85vo7	173	6	,	,	PUNCT
cord-186927-b8i85vo7	173	7	we	we	PRON
cord-186927-b8i85vo7	173	8	will	will	AUX
cord-186927-b8i85vo7	173	9	consider	consider	VERB
cord-186927-b8i85vo7	173	10	that	that	SCONJ
cord-186927-b8i85vo7	173	11	β	β	NOUN
cord-186927-b8i85vo7	173	12	is	be	AUX
cord-186927-b8i85vo7	173	13	endogenous	endogenous	ADJ
cord-186927-b8i85vo7	173	14	and	and	CCONJ
cord-186927-b8i85vo7	173	15	time	time	NOUN
cord-186927-b8i85vo7	173	16	-	-	PUNCT
cord-186927-b8i85vo7	173	17	dependent	dependent	ADJ
cord-186927-b8i85vo7	173	18	,	,	PUNCT
cord-186927-b8i85vo7	173	19	in	in	ADP
cord-186927-b8i85vo7	173	20	order	order	NOUN
cord-186927-b8i85vo7	173	21	to	to	PART
cord-186927-b8i85vo7	173	22	model	model	VERB
cord-186927-b8i85vo7	173	23	the	the	DET
cord-186927-b8i85vo7	173	24	influence	influence	NOUN
cord-186927-b8i85vo7	173	25	that	that	SCONJ
cord-186927-b8i85vo7	173	26	the	the	DET
cord-186927-b8i85vo7	173	27	population	population	NOUN
cord-186927-b8i85vo7	173	28	can	can	AUX
cord-186927-b8i85vo7	173	29	have	have	VERB
cord-186927-b8i85vo7	173	30	on	on	ADP
cord-186927-b8i85vo7	173	31	this	this	DET
cord-186927-b8i85vo7	173	32	transmission	transmission	NOUN
cord-186927-b8i85vo7	173	33	rate	rate	NOUN
cord-186927-b8i85vo7	173	34	.	.	PUNCT
cord-186927-b8i85vo7	174	1	more	more	ADV
cord-186927-b8i85vo7	174	2	precisely	precisely	ADV
cord-186927-b8i85vo7	174	3	,	,	PUNCT
cord-186927-b8i85vo7	174	4	the	the	DET
cord-186927-b8i85vo7	174	5	transmission	transmission	NOUN
cord-186927-b8i85vo7	174	6	rate	rate	NOUN
cord-186927-b8i85vo7	174	7	β	β	NOUN
cord-186927-b8i85vo7	174	8	depends	depend	VERB
cord-186927-b8i85vo7	174	9	essentially	essentially	ADV
cord-186927-b8i85vo7	174	10	on	on	ADP
cord-186927-b8i85vo7	174	11	two	two	NUM
cord-186927-b8i85vo7	174	12	factors	factor	NOUN
cord-186927-b8i85vo7	174	13	:	:	PUNCT
cord-186927-b8i85vo7	174	14	the	the	DET
cord-186927-b8i85vo7	174	15	disease	disease	NOUN
cord-186927-b8i85vo7	174	16	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	174	17	and	and	CCONJ
cord-186927-b8i85vo7	174	18	the	the	DET
cord-186927-b8i85vo7	174	19	contact	contact	NOUN
cord-186927-b8i85vo7	174	20	rate	rate	NOUN
cord-186927-b8i85vo7	174	21	within	within	ADP
cord-186927-b8i85vo7	174	22	the	the	DET
cord-186927-b8i85vo7	174	23	population	population	NOUN
cord-186927-b8i85vo7	174	24	.	.	PUNCT
cord-186927-b8i85vo7	175	1	although	although	SCONJ
cord-186927-b8i85vo7	175	2	the	the	DET
cord-186927-b8i85vo7	175	3	population	population	NOUN
cord-186927-b8i85vo7	175	4	can	can	AUX
cord-186927-b8i85vo7	175	5	not	not	PART
cord-186927-b8i85vo7	175	6	modify	modify	VERB
cord-186927-b8i85vo7	175	7	the	the	DET
cord-186927-b8i85vo7	175	8	disease	disease	NOUN
cord-186927-b8i85vo7	175	9	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	175	10	,	,	PUNCT
cord-186927-b8i85vo7	175	11	each	each	DET
cord-186927-b8i85vo7	175	12	individual	individual	NOUN
cord-186927-b8i85vo7	175	13	can	can	AUX
cord-186927-b8i85vo7	175	14	choose	choose	VERB
cord-186927-b8i85vo7	175	15	(	(	PUNCT
cord-186927-b8i85vo7	175	16	or	or	CCONJ
cord-186927-b8i85vo7	175	17	be	be	AUX
cord-186927-b8i85vo7	175	18	incentivised	incentivise	VERB
cord-186927-b8i85vo7	175	19	)	)	PUNCT
cord-186927-b8i85vo7	175	20	to	to	PART
cord-186927-b8i85vo7	175	21	reduce	reduce	VERB
cord-186927-b8i85vo7	175	22	his	his	PRON
cord-186927-b8i85vo7	175	23	/	/	SYM
cord-186927-b8i85vo7	175	24	her	her	PRON
cord-186927-b8i85vo7	175	25	contact	contact	NOUN
cord-186927-b8i85vo7	175	26	rate	rate	NOUN
cord-186927-b8i85vo7	175	27	with	with	ADP
cord-186927-b8i85vo7	175	28	other	other	ADJ
cord-186927-b8i85vo7	175	29	individuals	individual	NOUN
cord-186927-b8i85vo7	175	30	in	in	ADP
cord-186927-b8i85vo7	175	31	the	the	DET
cord-186927-b8i85vo7	175	32	population	population	NOUN
cord-186927-b8i85vo7	175	33	.	.	PUNCT
cord-186927-b8i85vo7	176	1	we	we	PRON
cord-186927-b8i85vo7	176	2	will	will	AUX
cord-186927-b8i85vo7	176	3	thus	thus	ADV
cord-186927-b8i85vo7	176	4	assume	assume	VERB
cord-186927-b8i85vo7	176	5	that	that	SCONJ
cord-186927-b8i85vo7	176	6	the	the	DET
cord-186927-b8i85vo7	176	7	population	population	NOUN
cord-186927-b8i85vo7	176	8	can	can	AUX
cord-186927-b8i85vo7	176	9	control	control	VERB
cord-186927-b8i85vo7	176	10	the	the	DET
cord-186927-b8i85vo7	176	11	transmission	transmission	NOUN
cord-186927-b8i85vo7	176	12	rate	rate	NOUN
cord-186927-b8i85vo7	176	13	β	β	NOUN
cord-186927-b8i85vo7	176	14	of	of	ADP
cord-186927-b8i85vo7	176	15	the	the	DET
cord-186927-b8i85vo7	176	16	disease	disease	NOUN
cord-186927-b8i85vo7	176	17	,	,	PUNCT
cord-186927-b8i85vo7	176	18	by	by	ADP
cord-186927-b8i85vo7	176	19	reducing	reduce	VERB
cord-186927-b8i85vo7	176	20	social	social	ADJ
cord-186927-b8i85vo7	176	21	interactions	interaction	NOUN
cord-186927-b8i85vo7	176	22	.	.	PUNCT
cord-186927-b8i85vo7	177	1	with	with	ADP
cord-186927-b8i85vo7	177	2	this	this	PRON
cord-186927-b8i85vo7	177	3	in	in	ADP
cord-186927-b8i85vo7	177	4	mind	mind	NOUN
cord-186927-b8i85vo7	177	5	,	,	PUNCT
cord-186927-b8i85vo7	177	6	we	we	PRON
cord-186927-b8i85vo7	177	7	will	will	AUX
cord-186927-b8i85vo7	177	8	denote	denote	VERB
cord-186927-b8i85vo7	177	9	by	by	ADP
cord-186927-b8i85vo7	177	10	β	β	PROPN
cord-186927-b8i85vo7	177	11	>	>	PUNCT
cord-186927-b8i85vo7	177	12	0	0	NUM
cord-186927-b8i85vo7	177	13	the	the	DET
cord-186927-b8i85vo7	177	14	constant	constant	ADJ
cord-186927-b8i85vo7	177	15	initial	initial	ADJ
cord-186927-b8i85vo7	177	16	transmission	transmission	NOUN
cord-186927-b8i85vo7	177	17	rate	rate	NOUN
cord-186927-b8i85vo7	177	18	of	of	ADP
cord-186927-b8i85vo7	177	19	the	the	DET
cord-186927-b8i85vo7	177	20	disease	disease	NOUN
cord-186927-b8i85vo7	177	21	,	,	PUNCT
cord-186927-b8i85vo7	177	22	i.e.	i.e.	X
cord-186927-b8i85vo7	177	23	,	,	PUNCT
cord-186927-b8i85vo7	177	24	without	without	ADP
cord-186927-b8i85vo7	177	25	any	any	DET
cord-186927-b8i85vo7	177	26	control	control	NOUN
cord-186927-b8i85vo7	177	27	measures	measure	NOUN
cord-186927-b8i85vo7	177	28	or	or	CCONJ
cord-186927-b8i85vo7	177	29	effort	effort	NOUN
cord-186927-b8i85vo7	177	30	from	from	ADP
cord-186927-b8i85vo7	177	31	the	the	DET
cord-186927-b8i85vo7	177	32	population	population	NOUN
cord-186927-b8i85vo7	177	33	.	.	PUNCT
cord-186927-b8i85vo7	178	1	unfortunately	unfortunately	ADV
cord-186927-b8i85vo7	178	2	,	,	PUNCT
cord-186927-b8i85vo7	178	3	reducing	reduce	VERB
cord-186927-b8i85vo7	178	4	social	social	ADJ
cord-186927-b8i85vo7	178	5	interactions	interaction	NOUN
cord-186927-b8i85vo7	178	6	is	be	AUX
cord-186927-b8i85vo7	178	7	costly	costly	ADJ
cord-186927-b8i85vo7	178	8	for	for	ADP
cord-186927-b8i85vo7	178	9	the	the	DET
cord-186927-b8i85vo7	178	10	population	population	NOUN
cord-186927-b8i85vo7	178	11	.	.	PUNCT
cord-186927-b8i85vo7	179	1	this	this	DET
cord-186927-b8i85vo7	179	2	cost	cost	NOUN
cord-186927-b8i85vo7	179	3	takes	take	VERB
cord-186927-b8i85vo7	179	4	into	into	ADP
cord-186927-b8i85vo7	179	5	account	account	NOUN
cord-186927-b8i85vo7	179	6	both	both	DET
cord-186927-b8i85vo7	179	7	the	the	DET
cord-186927-b8i85vo7	179	8	obvious	obvious	ADJ
cord-186927-b8i85vo7	179	9	social	social	ADJ
cord-186927-b8i85vo7	179	10	cost	cost	NOUN
cord-186927-b8i85vo7	179	11	,	,	PUNCT
cord-186927-b8i85vo7	179	12	due	due	ADJ
cord-186927-b8i85vo7	179	13	to	to	ADP
cord-186927-b8i85vo7	179	14	accrued	accrue	VERB
cord-186927-b8i85vo7	179	15	isolation	isolation	NOUN
cord-186927-b8i85vo7	179	16	during	during	ADP
cord-186927-b8i85vo7	179	17	the	the	DET
cord-186927-b8i85vo7	179	18	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	179	19	period	period	NOUN
cord-186927-b8i85vo7	179	20	,	,	PUNCT
cord-186927-b8i85vo7	179	21	and	and	CCONJ
cord-186927-b8i85vo7	179	22	an	an	DET
cord-186927-b8i85vo7	179	23	economic	economic	ADJ
cord-186927-b8i85vo7	179	24	cost	cost	NOUN
cord-186927-b8i85vo7	179	25	(	(	PUNCT
cord-186927-b8i85vo7	179	26	loss	loss	NOUN
cord-186927-b8i85vo7	179	27	of	of	ADP
cord-186927-b8i85vo7	179	28	employment	employment	NOUN
cord-186927-b8i85vo7	179	29	due	due	ADP
cord-186927-b8i85vo7	179	30	to	to	ADP
cord-186927-b8i85vo7	179	31	the	the	DET
cord-186927-b8i85vo7	179	32	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	179	33	,	,	PUNCT
cord-186927-b8i85vo7	179	34	...	...	PUNCT
cord-186927-b8i85vo7	179	35	)	)	PUNCT
cord-186927-b8i85vo7	179	36	.	.	PUNCT
cord-186927-b8i85vo7	180	1	from	from	ADP
cord-186927-b8i85vo7	180	2	now	now	ADV
cord-186927-b8i85vo7	180	3	on	on	ADV
cord-186927-b8i85vo7	180	4	,	,	PUNCT
cord-186927-b8i85vo7	180	5	β	β	PROPN
cord-186927-b8i85vo7	180	6	will	will	AUX
cord-186927-b8i85vo7	180	7	thus	thus	ADV
cord-186927-b8i85vo7	180	8	denote	denote	VERB
cord-186927-b8i85vo7	180	9	the	the	DET
cord-186927-b8i85vo7	180	10	time	time	NOUN
cord-186927-b8i85vo7	180	11	-	-	PUNCT
cord-186927-b8i85vo7	180	12	dependent	dependent	ADJ
cord-186927-b8i85vo7	180	13	transmission	transmission	NOUN
cord-186927-b8i85vo7	180	14	rate	rate	NOUN
cord-186927-b8i85vo7	180	15	of	of	ADP
cord-186927-b8i85vo7	180	16	the	the	DET
cord-186927-b8i85vo7	180	17	disease	disease	NOUN
cord-186927-b8i85vo7	180	18	,	,	PUNCT
cord-186927-b8i85vo7	180	19	controlled	control	VERB
cord-186927-b8i85vo7	180	20	by	by	ADP
cord-186927-b8i85vo7	180	21	the	the	DET
cord-186927-b8i85vo7	180	22	population	population	NOUN
cord-186927-b8i85vo7	180	23	.	.	PUNCT
cord-186927-b8i85vo7	181	1	more	more	ADV
cord-186927-b8i85vo7	181	2	precisely	precisely	ADV
cord-186927-b8i85vo7	181	3	,	,	PUNCT
cord-186927-b8i85vo7	181	4	we	we	PRON
cord-186927-b8i85vo7	181	5	fix	fix	VERB
cord-186927-b8i85vo7	181	6	some	some	DET
cord-186927-b8i85vo7	181	7	constant	constant	ADJ
cord-186927-b8i85vo7	181	8	β	β	NOUN
cord-186927-b8i85vo7	181	9	max	max	NOUN
cord-186927-b8i85vo7	181	10	≥	≥	NOUN
cord-186927-b8i85vo7	182	1	β	β	NOUN
cord-186927-b8i85vo7	182	2	representing	represent	VERB
cord-186927-b8i85vo7	182	3	the	the	DET
cord-186927-b8i85vo7	182	4	maximum	maximum	ADJ
cord-186927-b8i85vo7	182	5	rate	rate	NOUN
cord-186927-b8i85vo7	182	6	of	of	ADP
cord-186927-b8i85vo7	182	7	interaction	interaction	NOUN
cord-186927-b8i85vo7	182	8	that	that	PRON
cord-186927-b8i85vo7	182	9	can	can	AUX
cord-186927-b8i85vo7	182	10	be	be	AUX
cord-186927-b8i85vo7	182	11	considered	consider	VERB
cord-186927-b8i85vo7	182	12	,	,	PUNCT
cord-186927-b8i85vo7	182	13	and	and	CCONJ
cord-186927-b8i85vo7	182	14	we	we	PRON
cord-186927-b8i85vo7	182	15	define	define	VERB
cord-186927-b8i85vo7	182	16	b	b	X
cord-186927-b8i85vo7	182	17	:	:	PUNCT
cord-186927-b8i85vo7	182	18	=	=	NOUN
cord-186927-b8i85vo7	182	19	[	[	X
cord-186927-b8i85vo7	182	20	0	0	NUM
cord-186927-b8i85vo7	182	21	,	,	PUNCT
cord-186927-b8i85vo7	182	22	β	β	PROPN
cord-186927-b8i85vo7	182	23	max	max	PROPN
cord-186927-b8i85vo7	182	24	]	]	PUNCT
cord-186927-b8i85vo7	182	25	.	.	PUNCT
cord-186927-b8i85vo7	183	1	the	the	DET
cord-186927-b8i85vo7	183	2	process	process	NOUN
cord-186927-b8i85vo7	183	3	β	β	PROPN
cord-186927-b8i85vo7	183	4	will	will	AUX
cord-186927-b8i85vo7	183	5	be	be	AUX
cord-186927-b8i85vo7	183	6	assumed	assume	VERB
cord-186927-b8i85vo7	183	7	to	to	PART
cord-186927-b8i85vo7	183	8	be	be	AUX
cord-186927-b8i85vo7	183	9	b	b	NOUN
cord-186927-b8i85vo7	183	10	-	-	PUNCT
cord-186927-b8i85vo7	183	11	valued	value	VERB
cord-186927-b8i85vo7	183	12	,	,	PUNCT
cord-186927-b8i85vo7	183	13	and	and	CCONJ
cord-186927-b8i85vo7	183	14	we	we	PRON
cord-186927-b8i85vo7	183	15	will	will	AUX
cord-186927-b8i85vo7	183	16	denote	denote	VERB
cord-186927-b8i85vo7	183	17	by	by	ADP
cord-186927-b8i85vo7	183	18	b	b	X
cord-186927-b8i85vo7	183	19	the	the	DET
cord-186927-b8i85vo7	183	20	corresponding	corresponding	ADJ
cord-186927-b8i85vo7	183	21	set	set	NOUN
cord-186927-b8i85vo7	183	22	of	of	ADP
cord-186927-b8i85vo7	183	23	processes	process	NOUN
cord-186927-b8i85vo7	183	24	.	.	PUNCT
cord-186927-b8i85vo7	184	1	5	5	NUM
cord-186927-b8i85vo7	184	2	one	one	NUM
cord-186927-b8i85vo7	184	3	of	of	ADP
cord-186927-b8i85vo7	184	4	the	the	DET
cord-186927-b8i85vo7	184	5	two	two	NUM
cord-186927-b8i85vo7	184	6	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	184	7	models	model	NOUN
cord-186927-b8i85vo7	184	8	we	we	PRON
cord-186927-b8i85vo7	184	9	will	will	AUX
cord-186927-b8i85vo7	184	10	study	study	VERB
cord-186927-b8i85vo7	184	11	is	be	AUX
cord-186927-b8i85vo7	184	12	inspired	inspire	VERB
cord-186927-b8i85vo7	184	13	by	by	ADP
cord-186927-b8i85vo7	184	14	the	the	DET
cord-186927-b8i85vo7	184	15	well	well	ADV
cord-186927-b8i85vo7	184	16	-	-	PUNCT
cord-186927-b8i85vo7	184	17	known	know	VERB
cord-186927-b8i85vo7	184	18	sis	sis	NOUN
cord-186927-b8i85vo7	184	19	(	(	PUNCT
cord-186927-b8i85vo7	184	20	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	184	21	-	-	PUNCT
cord-186927-b8i85vo7	184	22	infected	infect	VERB
cord-186927-b8i85vo7	184	23	-	-	PUNCT
cord-186927-b8i85vo7	184	24	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	184	25	)	)	PUNCT
cord-186927-b8i85vo7	184	26	compartment	compartment	NOUN
cord-186927-b8i85vo7	184	27	model	model	NOUN
cord-186927-b8i85vo7	184	28	,	,	PUNCT
cord-186927-b8i85vo7	184	29	which	which	PRON
cord-186927-b8i85vo7	184	30	mainly	mainly	ADV
cord-186927-b8i85vo7	184	31	considers	consider	VERB
cord-186927-b8i85vo7	184	32	two	two	NUM
cord-186927-b8i85vo7	184	33	classes	class	NOUN
cord-186927-b8i85vo7	184	34	s	s	PROPN
cord-186927-b8i85vo7	184	35	and	and	CCONJ
cord-186927-b8i85vo7	184	36	i	i	PRON
cord-186927-b8i85vo7	184	37	within	within	ADP
cord-186927-b8i85vo7	184	38	the	the	DET
cord-186927-b8i85vo7	184	39	population	population	NOUN
cord-186927-b8i85vo7	184	40	:	:	PUNCT
cord-186927-b8i85vo7	184	41	the	the	DET
cord-186927-b8i85vo7	184	42	class	class	NOUN
cord-186927-b8i85vo7	184	43	s	s	VERB
cord-186927-b8i85vo7	184	44	represents	represent	VERB
cord-186927-b8i85vo7	184	45	the	the	DET
cord-186927-b8i85vo7	184	46	'	'	PUNCT
cord-186927-b8i85vo7	184	47	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	184	48	'	'	PUNCT
cord-186927-b8i85vo7	184	49	,	,	PUNCT
cord-186927-b8i85vo7	184	50	while	while	SCONJ
cord-186927-b8i85vo7	184	51	the	the	DET
cord-186927-b8i85vo7	184	52	class	class	NOUN
cord-186927-b8i85vo7	184	53	i	i	PRON
cord-186927-b8i85vo7	184	54	represents	represent	VERB
cord-186927-b8i85vo7	184	55	the	the	DET
cord-186927-b8i85vo7	184	56	'	'	PUNCT
cord-186927-b8i85vo7	184	57	infected	infect	VERB
cord-186927-b8i85vo7	184	58	'	'	PUNCT
cord-186927-b8i85vo7	184	59	.	.	PUNCT
cord-186927-b8i85vo7	185	1	in	in	ADP
cord-186927-b8i85vo7	185	2	this	this	DET
cord-186927-b8i85vo7	185	3	model	model	NOUN
cord-186927-b8i85vo7	185	4	,	,	PUNCT
cord-186927-b8i85vo7	185	5	during	during	ADP
cord-186927-b8i85vo7	185	6	the	the	DET
cord-186927-b8i85vo7	185	7	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	185	8	,	,	PUNCT
cord-186927-b8i85vo7	185	9	each	each	DET
cord-186927-b8i85vo7	185	10	individual	individual	NOUN
cord-186927-b8i85vo7	185	11	can	can	AUX
cord-186927-b8i85vo7	185	12	be	be	AUX
cord-186927-b8i85vo7	185	13	either	either	CCONJ
cord-186927-b8i85vo7	185	14	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	185	15	or	or	CCONJ
cord-186927-b8i85vo7	185	16	infected	infected	ADJ
cord-186927-b8i85vo7	185	17	,	,	PUNCT
cord-186927-b8i85vo7	185	18	and	and	CCONJ
cord-186927-b8i85vo7	185	19	(	(	PUNCT
cord-186927-b8i85vo7	185	20	s	s	NOUN
cord-186927-b8i85vo7	185	21	t	t	NOUN
cord-186927-b8i85vo7	185	22	,	,	PUNCT
cord-186927-b8i85vo7	185	23	i	i	PRON
cord-186927-b8i85vo7	185	24	t	t	NOUN
cord-186927-b8i85vo7	185	25	)	)	PUNCT
cord-186927-b8i85vo7	185	26	denotes	denote	VERB
cord-186927-b8i85vo7	185	27	the	the	DET
cord-186927-b8i85vo7	185	28	proportion	proportion	NOUN
cord-186927-b8i85vo7	185	29	of	of	ADP
cord-186927-b8i85vo7	185	30	each	each	DET
cord-186927-b8i85vo7	185	31	category	category	NOUN
cord-186927-b8i85vo7	185	32	at	at	ADP
cord-186927-b8i85vo7	185	33	time	time	NOUN
cord-186927-b8i85vo7	185	34	t	t	NOUN
cord-186927-b8i85vo7	185	35	≥	≥	NOUN
cord-186927-b8i85vo7	185	36	0	0	NUM
cord-186927-b8i85vo7	185	37	.	.	PUNCT
cord-186927-b8i85vo7	186	1	more	more	ADV
cord-186927-b8i85vo7	186	2	precisely	precisely	ADV
cord-186927-b8i85vo7	186	3	,	,	PUNCT
cord-186927-b8i85vo7	186	4	as	as	ADP
cord-186927-b8i85vo7	186	5	in	in	ADP
cord-186927-b8i85vo7	186	6	classical	classical	ADJ
cord-186927-b8i85vo7	186	7	sis	sis	NOUN
cord-186927-b8i85vo7	186	8	models	model	NOUN
cord-186927-b8i85vo7	186	9	,	,	PUNCT
cord-186927-b8i85vo7	186	10	we	we	PRON
cord-186927-b8i85vo7	186	11	assume	assume	VERB
cord-186927-b8i85vo7	186	12	that	that	SCONJ
cord-186927-b8i85vo7	186	13	an	an	DET
cord-186927-b8i85vo7	186	14	infected	infected	ADJ
cord-186927-b8i85vo7	186	15	individual	individual	ADJ
cord-186927-b8i85vo7	186	16	returns	return	NOUN
cord-186927-b8i85vo7	186	17	,	,	PUNCT
cord-186927-b8i85vo7	186	18	after	after	ADP
cord-186927-b8i85vo7	186	19	recovery	recovery	NOUN
cord-186927-b8i85vo7	186	20	,	,	PUNCT
cord-186927-b8i85vo7	186	21	to	to	ADP
cord-186927-b8i85vo7	186	22	the	the	DET
cord-186927-b8i85vo7	186	23	class	class	NOUN
cord-186927-b8i85vo7	186	24	of	of	ADP
cord-186927-b8i85vo7	186	25	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	186	26	individuals	individual	NOUN
cord-186927-b8i85vo7	186	27	,	,	PUNCT
cord-186927-b8i85vo7	186	28	and	and	CCONJ
cord-186927-b8i85vo7	186	29	can	can	AUX
cord-186927-b8i85vo7	186	30	therefore	therefore	ADV
cord-186927-b8i85vo7	186	31	re	re	VERB
cord-186927-b8i85vo7	186	32	-	-	VERB
cord-186927-b8i85vo7	186	33	contract	contract	VERB
cord-186927-b8i85vo7	186	34	the	the	DET
cord-186927-b8i85vo7	186	35	disease	disease	NOUN
cord-186927-b8i85vo7	186	36	.	.	PUNCT
cord-186927-b8i85vo7	187	1	we	we	PRON
cord-186927-b8i85vo7	187	2	denote	denote	VERB
cord-186927-b8i85vo7	187	3	by	by	ADP
cord-186927-b8i85vo7	187	4	ν	ν	PROPN
cord-186927-b8i85vo7	187	5	the	the	DET
cord-186927-b8i85vo7	187	6	associated	associated	ADJ
cord-186927-b8i85vo7	187	7	rate	rate	NOUN
cord-186927-b8i85vo7	187	8	,	,	PUNCT
cord-186927-b8i85vo7	187	9	which	which	PRON
cord-186927-b8i85vo7	187	10	is	be	AUX
cord-186927-b8i85vo7	187	11	assumed	assume	VERB
cord-186927-b8i85vo7	187	12	to	to	PART
cord-186927-b8i85vo7	187	13	be	be	AUX
cord-186927-b8i85vo7	187	14	a	a	DET
cord-186927-b8i85vo7	187	15	non	non	ADJ
cord-186927-b8i85vo7	187	16	-	-	ADJ
cord-186927-b8i85vo7	187	17	negative	negative	ADJ
cord-186927-b8i85vo7	187	18	constant	constant	ADJ
cord-186927-b8i85vo7	187	19	.	.	PUNCT
cord-186927-b8i85vo7	188	1	we	we	PRON
cord-186927-b8i85vo7	188	2	also	also	ADV
cord-186927-b8i85vo7	188	3	take	take	VERB
cord-186927-b8i85vo7	188	4	into	into	ADP
cord-186927-b8i85vo7	188	5	account	account	NOUN
cord-186927-b8i85vo7	188	6	the	the	DET
cord-186927-b8i85vo7	188	7	demographic	demographic	ADJ
cord-186927-b8i85vo7	188	8	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	188	9	of	of	ADP
cord-186927-b8i85vo7	188	10	the	the	DET
cord-186927-b8i85vo7	188	11	population	population	NOUN
cord-186927-b8i85vo7	188	12	,	,	PUNCT
cord-186927-b8i85vo7	188	13	i.e.	i.e.	X
cord-186927-b8i85vo7	188	14	,	,	PUNCT
cord-186927-b8i85vo7	188	15	births	birth	NOUN
cord-186927-b8i85vo7	188	16	and	and	CCONJ
cord-186927-b8i85vo7	188	17	deaths	death	NOUN
cord-186927-b8i85vo7	188	18	(	(	PUNCT
cord-186927-b8i85vo7	188	19	related	relate	VERB
cord-186927-b8i85vo7	188	20	to	to	ADP
cord-186927-b8i85vo7	188	21	the	the	DET
cord-186927-b8i85vo7	188	22	considered	considered	ADJ
cord-186927-b8i85vo7	188	23	disease	disease	NOUN
cord-186927-b8i85vo7	188	24	or	or	CCONJ
cord-186927-b8i85vo7	188	25	not	not	PART
cord-186927-b8i85vo7	188	26	)	)	PUNCT
cord-186927-b8i85vo7	188	27	,	,	PUNCT
cord-186927-b8i85vo7	188	28	through	through	ADP
cord-186927-b8i85vo7	188	29	the	the	DET
cord-186927-b8i85vo7	188	30	previously	previously	ADV
cord-186927-b8i85vo7	188	31	mentioned	mention	VERB
cord-186927-b8i85vo7	188	32	parameters	parameter	NOUN
cord-186927-b8i85vo7	188	33	λ	λ	PROPN
cord-186927-b8i85vo7	188	34	,	,	PUNCT
cord-186927-b8i85vo7	188	35	µ	µ	PROPN
cord-186927-b8i85vo7	188	36	and	and	CCONJ
cord-186927-b8i85vo7	188	37	γ	γ	PROPN
cord-186927-b8i85vo7	188	38	.	.	PROPN
cord-186927-b8i85vo7	188	39	to	to	PART
cord-186927-b8i85vo7	188	40	sum	sum	VERB
cord-186927-b8i85vo7	188	41	up	up	ADP
cord-186927-b8i85vo7	188	42	,	,	PUNCT
cord-186927-b8i85vo7	188	43	the	the	DET
cord-186927-b8i85vo7	188	44	model	model	NOUN
cord-186927-b8i85vo7	188	45	is	be	AUX
cord-186927-b8i85vo7	188	46	represented	represent	VERB
cord-186927-b8i85vo7	188	47	in	in	ADP
cord-186927-b8i85vo7	188	48	figure	figure	NOUN
cord-186927-b8i85vo7	188	49	1	1	NUM
cord-186927-b8i85vo7	188	50	below	below	ADV
cord-186927-b8i85vo7	188	51	,	,	PUNCT
cord-186927-b8i85vo7	188	52	and	and	CCONJ
cord-186927-b8i85vo7	188	53	the	the	DET
cord-186927-b8i85vo7	188	54	(	(	PUNCT
cord-186927-b8i85vo7	188	55	continuous	continuous	ADJ
cord-186927-b8i85vo7	188	56	-	-	PUNCT
cord-186927-b8i85vo7	188	57	time	time	NOUN
cord-186927-b8i85vo7	188	58	)	)	PUNCT
cord-186927-b8i85vo7	188	59	evolution	evolution	NOUN
cord-186927-b8i85vo7	188	60	of	of	ADP
cord-186927-b8i85vo7	188	61	the	the	DET
cord-186927-b8i85vo7	188	62	disease	disease	NOUN
cord-186927-b8i85vo7	188	63	is	be	AUX
cord-186927-b8i85vo7	188	64	described	describe	VERB
cord-186927-b8i85vo7	188	65	by	by	ADP
cord-186927-b8i85vo7	188	66	the	the	DET
cord-186927-b8i85vo7	188	67	following	follow	VERB
cord-186927-b8i85vo7	188	68	system	system	NOUN
cord-186927-b8i85vo7	188	69			NUM
cord-186927-b8i85vo7	188	70			VERB
cord-186927-b8i85vo7	188	71	for	for	ADP
cord-186927-b8i85vo7	188	72	an	an	DET
cord-186927-b8i85vo7	188	73	initial	initial	ADJ
cord-186927-b8i85vo7	188	74	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	188	75	distribution	distribution	NOUN
cord-186927-b8i85vo7	188	76	of	of	ADP
cord-186927-b8i85vo7	188	77	individuals	individual	NOUN
cord-186927-b8i85vo7	188	78	at	at	ADP
cord-186927-b8i85vo7	188	79	time	time	NOUN
cord-186927-b8i85vo7	188	80	0	0	NUM
cord-186927-b8i85vo7	188	81	,	,	PUNCT
cord-186927-b8i85vo7	188	82	denoted	denote	VERB
cord-186927-b8i85vo7	188	83	by	by	ADP
cord-186927-b8i85vo7	188	84	(	(	PUNCT
cord-186927-b8i85vo7	188	85	s	s	PROPN
cord-186927-b8i85vo7	188	86	0	0	NUM
cord-186927-b8i85vo7	188	87	,	,	PUNCT
cord-186927-b8i85vo7	188	88	i	i	PRON
cord-186927-b8i85vo7	188	89	0	0	PUNCT
cord-186927-b8i85vo7	188	90	)	)	PUNCT
cord-186927-b8i85vo7	189	1	∈	∈	NOUN
cord-186927-b8i85vo7	189	2	r	r	NOUN
cord-186927-b8i85vo7	189	3	2	2	NUM
cord-186927-b8i85vo7	189	4	+	+	NUM
cord-186927-b8i85vo7	189	5	,	,	PUNCT
cord-186927-b8i85vo7	189	6	supposed	suppose	VERB
cord-186927-b8i85vo7	189	7	to	to	PART
cord-186927-b8i85vo7	189	8	be	be	AUX
cord-186927-b8i85vo7	189	9	known	know	VERB
cord-186927-b8i85vo7	189	10	.	.	PUNCT
cord-186927-b8i85vo7	190	1	death	death	NOUN
cord-186927-b8i85vo7	190	2	the	the	DET
cord-186927-b8i85vo7	190	3	second	second	ADJ
cord-186927-b8i85vo7	190	4	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	190	5	model	model	NOUN
cord-186927-b8i85vo7	190	6	we	we	PRON
cord-186927-b8i85vo7	190	7	will	will	AUX
cord-186927-b8i85vo7	190	8	focus	focus	VERB
cord-186927-b8i85vo7	190	9	on	on	ADP
cord-186927-b8i85vo7	190	10	is	be	AUX
cord-186927-b8i85vo7	190	11	the	the	DET
cord-186927-b8i85vo7	190	12	classical	classical	ADJ
cord-186927-b8i85vo7	190	13	sir	sir	NOUN
cord-186927-b8i85vo7	190	14	(	(	PUNCT
cord-186927-b8i85vo7	190	15	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	190	16	-	-	PUNCT
cord-186927-b8i85vo7	190	17	infected	infect	VERB
cord-186927-b8i85vo7	190	18	-	-	PUNCT
cord-186927-b8i85vo7	190	19	recovered	recover	VERB
cord-186927-b8i85vo7	190	20	)	)	PUNCT
cord-186927-b8i85vo7	190	21	compartment	compartment	NOUN
cord-186927-b8i85vo7	190	22	model	model	NOUN
cord-186927-b8i85vo7	190	23	.	.	PUNCT
cord-186927-b8i85vo7	191	1	as	as	ADP
cord-186927-b8i85vo7	191	2	in	in	ADP
cord-186927-b8i85vo7	191	3	the	the	DET
cord-186927-b8i85vo7	191	4	sis	sis	NOUN
cord-186927-b8i85vo7	191	5	model	model	NOUN
cord-186927-b8i85vo7	191	6	,	,	PUNCT
cord-186927-b8i85vo7	191	7	the	the	DET
cord-186927-b8i85vo7	191	8	class	class	NOUN
cord-186927-b8i85vo7	191	9	s	s	PROPN
cord-186927-b8i85vo7	191	10	represents	represent	VERB
cord-186927-b8i85vo7	191	11	the	the	DET
cord-186927-b8i85vo7	191	12	'	'	PUNCT
cord-186927-b8i85vo7	191	13	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	191	14	'	'	PUNCT
cord-186927-b8i85vo7	191	15	and	and	CCONJ
cord-186927-b8i85vo7	191	16	the	the	DET
cord-186927-b8i85vo7	191	17	class	class	NOUN
cord-186927-b8i85vo7	191	18	i	i	PRON
cord-186927-b8i85vo7	191	19	represents	represent	VERB
cord-186927-b8i85vo7	191	20	the	the	DET
cord-186927-b8i85vo7	191	21	'	'	PUNCT
cord-186927-b8i85vo7	191	22	infected	infect	VERB
cord-186927-b8i85vo7	191	23	'	'	PUNCT
cord-186927-b8i85vo7	191	24	.	.	PUNCT
cord-186927-b8i85vo7	192	1	the	the	DET
cord-186927-b8i85vo7	192	2	sir	sir	PROPN
cord-186927-b8i85vo7	192	3	model	model	NOUN
cord-186927-b8i85vo7	192	4	is	be	AUX
cord-186927-b8i85vo7	192	5	used	use	VERB
cord-186927-b8i85vo7	192	6	to	to	PART
cord-186927-b8i85vo7	192	7	describe	describe	VERB
cord-186927-b8i85vo7	192	8	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	192	9	in	in	ADP
cord-186927-b8i85vo7	192	10	which	which	PRON
cord-186927-b8i85vo7	192	11	infected	infect	VERB
cord-186927-b8i85vo7	192	12	individuals	individual	NOUN
cord-186927-b8i85vo7	192	13	develop	develop	VERB
cord-186927-b8i85vo7	192	14	immunity	immunity	NOUN
cord-186927-b8i85vo7	192	15	to	to	ADP
cord-186927-b8i85vo7	192	16	the	the	DET
cord-186927-b8i85vo7	192	17	virus	virus	NOUN
cord-186927-b8i85vo7	192	18	.	.	PUNCT
cord-186927-b8i85vo7	193	1	this	this	PRON
cord-186927-b8i85vo7	193	2	therefore	therefore	ADV
cord-186927-b8i85vo7	193	3	involves	involve	VERB
cord-186927-b8i85vo7	193	4	a	a	DET
cord-186927-b8i85vo7	193	5	third	third	ADJ
cord-186927-b8i85vo7	193	6	class	class	NOUN
cord-186927-b8i85vo7	193	7	,	,	PUNCT
cord-186927-b8i85vo7	193	8	namely	namely	ADV
cord-186927-b8i85vo7	193	9	r	r	NOUN
cord-186927-b8i85vo7	193	10	,	,	PUNCT
cord-186927-b8i85vo7	193	11	representing	represent	VERB
cord-186927-b8i85vo7	193	12	the	the	DET
cord-186927-b8i85vo7	193	13	'	'	PUNCT
cord-186927-b8i85vo7	193	14	recovered	recovered	ADJ
cord-186927-b8i85vo7	193	15	'	'	PUNCT
cord-186927-b8i85vo7	193	16	,	,	PUNCT
cord-186927-b8i85vo7	193	17	i.e.	i.e.	X
cord-186927-b8i85vo7	193	18	,	,	PUNCT
cord-186927-b8i85vo7	193	19	individuals	individual	NOUN
cord-186927-b8i85vo7	193	20	who	who	PRON
cord-186927-b8i85vo7	193	21	have	have	AUX
cord-186927-b8i85vo7	193	22	contracted	contract	VERB
cord-186927-b8i85vo7	193	23	the	the	DET
cord-186927-b8i85vo7	193	24	disease	disease	NOUN
cord-186927-b8i85vo7	193	25	,	,	PUNCT
cord-186927-b8i85vo7	193	26	are	be	AUX
cord-186927-b8i85vo7	193	27	now	now	ADV
cord-186927-b8i85vo7	193	28	cured	cure	VERB
cord-186927-b8i85vo7	193	29	,	,	PUNCT
cord-186927-b8i85vo7	193	30	and	and	CCONJ
cord-186927-b8i85vo7	193	31	therefore	therefore	ADV
cord-186927-b8i85vo7	193	32	immune	immune	ADJ
cord-186927-b8i85vo7	193	33	to	to	ADP
cord-186927-b8i85vo7	193	34	the	the	DET
cord-186927-b8i85vo7	193	35	virus	virus	NOUN
cord-186927-b8i85vo7	193	36	under	under	ADP
cord-186927-b8i85vo7	193	37	consideration	consideration	NOUN
cord-186927-b8i85vo7	193	38	.	.	PUNCT
cord-186927-b8i85vo7	194	1	we	we	PRON
cord-186927-b8i85vo7	194	2	denote	denote	VERB
cord-186927-b8i85vo7	194	3	by	by	ADP
cord-186927-b8i85vo7	194	4	ρ	ρ	PROPN
cord-186927-b8i85vo7	194	5	the	the	DET
cord-186927-b8i85vo7	194	6	recovery	recovery	NOUN
cord-186927-b8i85vo7	194	7	rate	rate	NOUN
cord-186927-b8i85vo7	194	8	,	,	PUNCT
cord-186927-b8i85vo7	194	9	which	which	PRON
cord-186927-b8i85vo7	194	10	is	be	AUX
cord-186927-b8i85vo7	194	11	assumed	assume	VERB
cord-186927-b8i85vo7	194	12	to	to	PART
cord-186927-b8i85vo7	194	13	be	be	AUX
cord-186927-b8i85vo7	194	14	a	a	DET
cord-186927-b8i85vo7	194	15	fixed	fix	VERB
cord-186927-b8i85vo7	194	16	non	non	ADJ
cord-186927-b8i85vo7	194	17	-	-	ADJ
cord-186927-b8i85vo7	194	18	negative	negative	ADJ
cord-186927-b8i85vo7	194	19	constant	constant	ADJ
cord-186927-b8i85vo7	194	20	.	.	PUNCT
cord-186927-b8i85vo7	195	1	therefore	therefore	ADV
cord-186927-b8i85vo7	195	2	,	,	PUNCT
cord-186927-b8i85vo7	195	3	during	during	ADP
cord-186927-b8i85vo7	195	4	the	the	DET
cord-186927-b8i85vo7	195	5	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	195	6	,	,	PUNCT
cord-186927-b8i85vo7	195	7	each	each	DET
cord-186927-b8i85vo7	195	8	individual	individual	NOUN
cord-186927-b8i85vo7	195	9	can	can	AUX
cord-186927-b8i85vo7	195	10	be	be	AUX
cord-186927-b8i85vo7	195	11	either	either	CCONJ
cord-186927-b8i85vo7	195	12	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	195	13	,	,	PUNCT
cord-186927-b8i85vo7	195	14	infected	infect	VERB
cord-186927-b8i85vo7	195	15	or	or	CCONJ
cord-186927-b8i85vo7	195	16	recovery	recovery	NOUN
cord-186927-b8i85vo7	195	17	,	,	PUNCT
cord-186927-b8i85vo7	195	18	and	and	CCONJ
cord-186927-b8i85vo7	195	19	(	(	PUNCT
cord-186927-b8i85vo7	195	20	s	s	NOUN
cord-186927-b8i85vo7	195	21	t	t	NOUN
cord-186927-b8i85vo7	195	22	,	,	PUNCT
cord-186927-b8i85vo7	195	23	i	i	PRON
cord-186927-b8i85vo7	195	24	t	t	NOUN
cord-186927-b8i85vo7	195	25	,	,	PUNCT
cord-186927-b8i85vo7	195	26	r	r	NOUN
cord-186927-b8i85vo7	195	27	t	t	NOUN
cord-186927-b8i85vo7	195	28	)	)	PUNCT
cord-186927-b8i85vo7	195	29	denotes	denote	VERB
cord-186927-b8i85vo7	195	30	the	the	DET
cord-186927-b8i85vo7	195	31	proportion	proportion	NOUN
cord-186927-b8i85vo7	195	32	of	of	ADP
cord-186927-b8i85vo7	195	33	each	each	DET
cord-186927-b8i85vo7	195	34	category	category	NOUN
cord-186927-b8i85vo7	195	35	at	at	ADP
cord-186927-b8i85vo7	195	36	time	time	NOUN
cord-186927-b8i85vo7	195	37	t	t	NOUN
cord-186927-b8i85vo7	195	38	≥	≥	NOUN
cord-186927-b8i85vo7	195	39	0	0	NUM
cord-186927-b8i85vo7	195	40	.	.	PUNCT
cord-186927-b8i85vo7	196	1	as	as	ADP
cord-186927-b8i85vo7	196	2	in	in	ADP
cord-186927-b8i85vo7	196	3	the	the	DET
cord-186927-b8i85vo7	196	4	previously	previously	ADV
cord-186927-b8i85vo7	196	5	described	describe	VERB
cord-186927-b8i85vo7	196	6	sis	sis	NOUN
cord-186927-b8i85vo7	196	7	model	model	NOUN
cord-186927-b8i85vo7	196	8	,	,	PUNCT
cord-186927-b8i85vo7	196	9	we	we	PRON
cord-186927-b8i85vo7	196	10	also	also	ADV
cord-186927-b8i85vo7	196	11	take	take	VERB
cord-186927-b8i85vo7	196	12	into	into	ADP
cord-186927-b8i85vo7	196	13	account	account	NOUN
cord-186927-b8i85vo7	196	14	the	the	DET
cord-186927-b8i85vo7	196	15	demographic	demographic	ADJ
cord-186927-b8i85vo7	196	16	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	196	17	of	of	ADP
cord-186927-b8i85vo7	196	18	the	the	DET
cord-186927-b8i85vo7	196	19	population	population	NOUN
cord-186927-b8i85vo7	196	20	,	,	PUNCT
cord-186927-b8i85vo7	196	21	through	through	ADP
cord-186927-b8i85vo7	196	22	the	the	DET
cord-186927-b8i85vo7	196	23	parameters	parameter	NOUN
cord-186927-b8i85vo7	196	24	λ	λ	PROPN
cord-186927-b8i85vo7	196	25	,	,	PUNCT
cord-186927-b8i85vo7	196	26	µ	µ	PROPN
cord-186927-b8i85vo7	196	27	and	and	CCONJ
cord-186927-b8i85vo7	196	28	γ	γ	PROPN
cord-186927-b8i85vo7	196	29	.	.	PROPN
cord-186927-b8i85vo7	196	30	to	to	PART
cord-186927-b8i85vo7	196	31	sum	sum	VERB
cord-186927-b8i85vo7	196	32	up	up	ADP
cord-186927-b8i85vo7	196	33	,	,	PUNCT
cord-186927-b8i85vo7	196	34	the	the	DET
cord-186927-b8i85vo7	196	35	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	196	36	scheme	scheme	NOUN
cord-186927-b8i85vo7	196	37	is	be	AUX
cord-186927-b8i85vo7	196	38	represented	represent	VERB
cord-186927-b8i85vo7	196	39	in	in	ADP
cord-186927-b8i85vo7	196	40	figure	figure	NOUN
cord-186927-b8i85vo7	196	41	2	2	NUM
cord-186927-b8i85vo7	196	42	,	,	PUNCT
cord-186927-b8i85vo7	196	43	and	and	CCONJ
cord-186927-b8i85vo7	196	44	the	the	DET
cord-186927-b8i85vo7	196	45	(	(	PUNCT
cord-186927-b8i85vo7	196	46	continuous	continuous	ADJ
cord-186927-b8i85vo7	196	47	-	-	PUNCT
cord-186927-b8i85vo7	196	48	time	time	NOUN
cord-186927-b8i85vo7	196	49	)	)	PUNCT
cord-186927-b8i85vo7	196	50	evolution	evolution	NOUN
cord-186927-b8i85vo7	196	51	of	of	ADP
cord-186927-b8i85vo7	196	52	the	the	DET
cord-186927-b8i85vo7	196	53	disease	disease	NOUN
cord-186927-b8i85vo7	196	54	is	be	AUX
cord-186927-b8i85vo7	196	55	described	describe	VERB
cord-186927-b8i85vo7	196	56	by	by	ADP
cord-186927-b8i85vo7	196	57	the	the	DET
cord-186927-b8i85vo7	196	58	following	follow	VERB
cord-186927-b8i85vo7	196	59	system	system	NOUN
cord-186927-b8i85vo7	196	60	for	for	ADP
cord-186927-b8i85vo7	196	61	a	a	DET
cord-186927-b8i85vo7	196	62	given	give	VERB
cord-186927-b8i85vo7	196	63	initial	initial	ADJ
cord-186927-b8i85vo7	196	64	distribution	distribution	NOUN
cord-186927-b8i85vo7	196	65	of	of	ADP
cord-186927-b8i85vo7	196	66	individuals	individual	NOUN
cord-186927-b8i85vo7	196	67	at	at	ADP
cord-186927-b8i85vo7	196	68	time	time	NOUN
cord-186927-b8i85vo7	196	69	0	0	NUM
cord-186927-b8i85vo7	196	70	,	,	PUNCT
cord-186927-b8i85vo7	196	71	denoted	denote	VERB
cord-186927-b8i85vo7	196	72	by	by	ADP
cord-186927-b8i85vo7	196	73	(	(	PUNCT
cord-186927-b8i85vo7	196	74	s	s	PROPN
cord-186927-b8i85vo7	196	75	0	0	NUM
cord-186927-b8i85vo7	196	76	,	,	PUNCT
cord-186927-b8i85vo7	196	77	i	i	PRON
cord-186927-b8i85vo7	196	78	0	0	PUNCT
cord-186927-b8i85vo7	196	79	,	,	PUNCT
cord-186927-b8i85vo7	196	80	r	r	NOUN
cord-186927-b8i85vo7	196	81	0	0	PUNCT
cord-186927-b8i85vo7	196	82	)	)	PUNCT
cord-186927-b8i85vo7	197	1	∈	∈	NOUN
cord-186927-b8i85vo7	197	2	r	r	NOUN
cord-186927-b8i85vo7	197	3	3	3	NUM
cord-186927-b8i85vo7	197	4	+	+	NUM
cord-186927-b8i85vo7	197	5	and	and	CCONJ
cord-186927-b8i85vo7	197	6	assumed	assume	VERB
cord-186927-b8i85vo7	197	7	to	to	PART
cord-186927-b8i85vo7	197	8	be	be	AUX
cord-186927-b8i85vo7	197	9	known	know	VERB
cord-186927-b8i85vo7	197	10	.	.	PUNCT
cord-186927-b8i85vo7	198	1	recovery	recovery	NOUN
cord-186927-b8i85vo7	198	2	the	the	DET
cord-186927-b8i85vo7	198	3	use	use	NOUN
cord-186927-b8i85vo7	198	4	of	of	ADP
cord-186927-b8i85vo7	198	5	a	a	DET
cord-186927-b8i85vo7	198	6	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	198	7	model	model	NOUN
cord-186927-b8i85vo7	198	8	is	be	AUX
cord-186927-b8i85vo7	198	9	widespread	widespread	ADJ
cord-186927-b8i85vo7	198	10	and	and	CCONJ
cord-186927-b8i85vo7	198	11	generally	generally	ADV
cord-186927-b8i85vo7	198	12	justified	justify	VERB
cord-186927-b8i85vo7	198	13	for	for	ADP
cord-186927-b8i85vo7	198	14	most	most	ADJ
cord-186927-b8i85vo7	198	15	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	198	16	.	.	PUNCT
cord-186927-b8i85vo7	199	1	however	however	ADV
cord-186927-b8i85vo7	199	2	,	,	PUNCT
cord-186927-b8i85vo7	199	3	in	in	ADP
cord-186927-b8i85vo7	199	4	our	our	PRON
cord-186927-b8i85vo7	199	5	case	case	NOUN
cord-186927-b8i85vo7	199	6	study	study	NOUN
cord-186927-b8i85vo7	199	7	,	,	PUNCT
cord-186927-b8i85vo7	199	8	and	and	CCONJ
cord-186927-b8i85vo7	199	9	given	give	VERB
cord-186927-b8i85vo7	199	10	what	what	PRON
cord-186927-b8i85vo7	199	11	is	be	AUX
cord-186927-b8i85vo7	199	12	currently	currently	ADV
cord-186927-b8i85vo7	199	13	happening	happen	VERB
cord-186927-b8i85vo7	199	14	in	in	ADP
cord-186927-b8i85vo7	199	15	many	many	ADJ
cord-186927-b8i85vo7	199	16	countries	country	NOUN
cord-186927-b8i85vo7	199	17	,	,	PUNCT
cord-186927-b8i85vo7	199	18	it	it	PRON
cord-186927-b8i85vo7	199	19	appears	appear	VERB
cord-186927-b8i85vo7	199	20	that	that	SCONJ
cord-186927-b8i85vo7	199	21	the	the	DET
cord-186927-b8i85vo7	199	22	number	number	NOUN
cord-186927-b8i85vo7	199	23	of	of	ADP
cord-186927-b8i85vo7	199	24	infected	infected	ADJ
cord-186927-b8i85vo7	199	25	individuals	individual	NOUN
cord-186927-b8i85vo7	199	26	is	be	AUX
cord-186927-b8i85vo7	199	27	not	not	PART
cord-186927-b8i85vo7	199	28	so	so	ADV
cord-186927-b8i85vo7	199	29	simple	simple	ADJ
cord-186927-b8i85vo7	199	30	to	to	PART
cord-186927-b8i85vo7	199	31	quantify	quantify	VERB
cord-186927-b8i85vo7	199	32	and	and	CCONJ
cord-186927-b8i85vo7	199	33	estimate	estimate	VERB
cord-186927-b8i85vo7	199	34	.	.	PUNCT
cord-186927-b8i85vo7	200	1	indeed	indeed	ADV
cord-186927-b8i85vo7	200	2	,	,	PUNCT
cord-186927-b8i85vo7	200	3	without	without	ADP
cord-186927-b8i85vo7	200	4	a	a	DET
cord-186927-b8i85vo7	200	5	large	large	ADJ
cord-186927-b8i85vo7	200	6	testing	testing	NOUN
cord-186927-b8i85vo7	200	7	campaign	campaign	NOUN
cord-186927-b8i85vo7	200	8	,	,	PUNCT
cord-186927-b8i85vo7	200	9	it	it	PRON
cord-186927-b8i85vo7	200	10	seems	seem	VERB
cord-186927-b8i85vo7	200	11	complicated	complicated	ADJ
cord-186927-b8i85vo7	200	12	to	to	PART
cord-186927-b8i85vo7	200	13	know	know	VERB
cord-186927-b8i85vo7	200	14	precisely	precisely	ADV
cord-186927-b8i85vo7	200	15	the	the	DET
cord-186927-b8i85vo7	200	16	proportion	proportion	NOUN
cord-186927-b8i85vo7	200	17	of	of	ADP
cord-186927-b8i85vo7	200	18	infected	infect	VERB
cord-186927-b8i85vo7	200	19	in	in	ADP
cord-186927-b8i85vo7	200	20	the	the	DET
cord-186927-b8i85vo7	200	21	population	population	NOUN
cord-186927-b8i85vo7	200	22	.	.	PUNCT
cord-186927-b8i85vo7	201	1	this	this	PRON
cord-186927-b8i85vo7	201	2	is	be	AUX
cord-186927-b8i85vo7	201	3	particularly	particularly	ADV
cord-186927-b8i85vo7	201	4	true	true	ADJ
cord-186927-b8i85vo7	201	5	in	in	ADP
cord-186927-b8i85vo7	201	6	the	the	DET
cord-186927-b8i85vo7	201	7	case	case	NOUN
cord-186927-b8i85vo7	201	8	of	of	ADP
cord-186927-b8i85vo7	201	9	the	the	DET
cord-186927-b8i85vo7	201	10	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	201	11	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	201	12	:	:	PUNCT
cord-186927-b8i85vo7	201	13	the	the	DET
cord-186927-b8i85vo7	201	14	absence	absence	NOUN
cord-186927-b8i85vo7	201	15	of	of	ADP
cord-186927-b8i85vo7	201	16	symptoms	symptom	NOUN
cord-186927-b8i85vo7	201	17	for	for	ADP
cord-186927-b8i85vo7	201	18	a	a	DET
cord-186927-b8i85vo7	201	19	significant	significant	ADJ
cord-186927-b8i85vo7	201	20	proportion	proportion	NOUN
cord-186927-b8i85vo7	201	21	of	of	ADP
cord-186927-b8i85vo7	201	22	infected	infected	ADJ
cord-186927-b8i85vo7	201	23	individuals	individual	NOUN
cord-186927-b8i85vo7	201	24	leads	lead	VERB
cord-186927-b8i85vo7	201	25	to	to	ADP
cord-186927-b8i85vo7	201	26	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	201	27	about	about	ADP
cord-186927-b8i85vo7	201	28	the	the	DET
cord-186927-b8i85vo7	201	29	actual	actual	ADJ
cord-186927-b8i85vo7	201	30	number	number	NOUN
cord-186927-b8i85vo7	201	31	of	of	ADP
cord-186927-b8i85vo7	201	32	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	201	33	and	and	CCONJ
cord-186927-b8i85vo7	201	34	infected	infect	VERB
cord-186927-b8i85vo7	201	35	.	.	PUNCT
cord-186927-b8i85vo7	202	1	as	as	ADP
cord-186927-b8i85vo7	202	2	a	a	DET
cord-186927-b8i85vo7	202	3	consequence	consequence	NOUN
cord-186927-b8i85vo7	202	4	,	,	PUNCT
cord-186927-b8i85vo7	202	5	it	it	PRON
cord-186927-b8i85vo7	202	6	seems	seem	VERB
cord-186927-b8i85vo7	202	7	more	more	ADV
cord-186927-b8i85vo7	202	8	realistic	realistic	ADJ
cord-186927-b8i85vo7	202	9	in	in	ADP
cord-186927-b8i85vo7	202	10	our	our	PRON
cord-186927-b8i85vo7	202	11	study	study	NOUN
cord-186927-b8i85vo7	202	12	to	to	PART
cord-186927-b8i85vo7	202	13	turn	turn	VERB
cord-186927-b8i85vo7	202	14	both	both	DET
cord-186927-b8i85vo7	202	15	the	the	DET
cord-186927-b8i85vo7	202	16	sis	sis	NOUN
cord-186927-b8i85vo7	202	17	and	and	CCONJ
cord-186927-b8i85vo7	202	18	sir	sir	PROPN
cord-186927-b8i85vo7	202	19	deterministic	deterministic	PROPN
cord-186927-b8i85vo7	202	20	controlled	control	VERB
cord-186927-b8i85vo7	202	21	models	model	NOUN
cord-186927-b8i85vo7	202	22	previously	previously	ADV
cord-186927-b8i85vo7	202	23	described	describe	VERB
cord-186927-b8i85vo7	202	24	,	,	PUNCT
cord-186927-b8i85vo7	202	25	into	into	ADP
cord-186927-b8i85vo7	202	26	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	202	27	controlled	control	VERB
cord-186927-b8i85vo7	202	28	models	model	NOUN
cord-186927-b8i85vo7	202	29	.	.	PUNCT
cord-186927-b8i85vo7	203	1	concerning	concern	VERB
cord-186927-b8i85vo7	203	2	the	the	DET
cord-186927-b8i85vo7	203	3	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	203	4	part	part	NOUN
cord-186927-b8i85vo7	203	5	,	,	PUNCT
cord-186927-b8i85vo7	203	6	the	the	DET
cord-186927-b8i85vo7	203	7	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	203	8	written	write	VERB
cord-186927-b8i85vo7	203	9	in	in	ADP
cord-186927-b8i85vo7	203	10	the	the	DET
cord-186927-b8i85vo7	203	11	previous	previous	ADJ
cord-186927-b8i85vo7	203	12	systems	system	NOUN
cord-186927-b8i85vo7	203	13	remain	remain	VERB
cord-186927-b8i85vo7	203	14	identical	identical	ADJ
cord-186927-b8i85vo7	203	15	.	.	PUNCT
cord-186927-b8i85vo7	204	1	the	the	DET
cord-186927-b8i85vo7	204	2	volatility	volatility	NOUN
cord-186927-b8i85vo7	204	3	is	be	AUX
cord-186927-b8i85vo7	204	4	partly	partly	ADV
cord-186927-b8i85vo7	204	5	represented	represent	VERB
cord-186927-b8i85vo7	204	6	by	by	ADP
cord-186927-b8i85vo7	204	7	a	a	DET
cord-186927-b8i85vo7	204	8	fixed	fix	VERB
cord-186927-b8i85vo7	204	9	and	and	CCONJ
cord-186927-b8i85vo7	204	10	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	204	11	parameter	parameter	NOUN
cord-186927-b8i85vo7	204	12	σ	σ	PROPN
cord-186927-b8i85vo7	204	13	>	>	PUNCT
cord-186927-b8i85vo7	204	14	0	0	NUM
cord-186927-b8i85vo7	204	15	,	,	PUNCT
cord-186927-b8i85vo7	204	16	and	and	CCONJ
cord-186927-b8i85vo7	204	17	by	by	ADP
cord-186927-b8i85vo7	204	18	a	a	DET
cord-186927-b8i85vo7	204	19	time	time	NOUN
cord-186927-b8i85vo7	204	20	-	-	PUNCT
cord-186927-b8i85vo7	204	21	dependent	dependent	ADJ
cord-186927-b8i85vo7	204	22	process	process	NOUN
cord-186927-b8i85vo7	204	23	α	α	PRON
cord-186927-b8i85vo7	204	24	,	,	PUNCT
cord-186927-b8i85vo7	204	25	representing	represent	VERB
cord-186927-b8i85vo7	204	26	the	the	DET
cord-186927-b8i85vo7	204	27	actions	action	NOUN
cord-186927-b8i85vo7	204	28	of	of	ADP
cord-186927-b8i85vo7	204	29	the	the	DET
cord-186927-b8i85vo7	204	30	government	government	NOUN
cord-186927-b8i85vo7	204	31	in	in	ADP
cord-186927-b8i85vo7	204	32	terms	term	NOUN
cord-186927-b8i85vo7	204	33	of	of	ADP
cord-186927-b8i85vo7	204	34	testing	testing	NOUN
cord-186927-b8i85vo7	204	35	policy	policy	NOUN
cord-186927-b8i85vo7	204	36	.	.	PUNCT
cord-186927-b8i85vo7	205	1	more	more	ADV
cord-186927-b8i85vo7	205	2	precisely	precisely	ADV
cord-186927-b8i85vo7	205	3	,	,	PUNCT
cord-186927-b8i85vo7	205	4	in	in	ADP
cord-186927-b8i85vo7	205	5	our	our	PRON
cord-186927-b8i85vo7	205	6	model	model	NOUN
cord-186927-b8i85vo7	205	7	,	,	PUNCT
cord-186927-b8i85vo7	205	8	an	an	DET
cord-186927-b8i85vo7	205	9	increase	increase	NOUN
cord-186927-b8i85vo7	205	10	of	of	ADP
cord-186927-b8i85vo7	205	11	the	the	DET
cord-186927-b8i85vo7	205	12	number	number	NOUN
cord-186927-b8i85vo7	205	13	of	of	ADP
cord-186927-b8i85vo7	205	14	tests	test	NOUN
cord-186927-b8i85vo7	205	15	in	in	ADP
cord-186927-b8i85vo7	205	16	the	the	DET
cord-186927-b8i85vo7	205	17	population	population	NOUN
cord-186927-b8i85vo7	205	18	,	,	PUNCT
cord-186927-b8i85vo7	205	19	represented	represent	VERB
cord-186927-b8i85vo7	205	20	by	by	ADP
cord-186927-b8i85vo7	205	21	a	a	DET
cord-186927-b8i85vo7	205	22	decrease	decrease	NOUN
cord-186927-b8i85vo7	205	23	of	of	ADP
cord-186927-b8i85vo7	205	24	the	the	DET
cord-186927-b8i85vo7	205	25	parameter	parameter	NOUN
cord-186927-b8i85vo7	205	26	α	α	PROPN
cord-186927-b8i85vo7	205	27	,	,	PUNCT
cord-186927-b8i85vo7	205	28	leads	lead	VERB
cord-186927-b8i85vo7	205	29	to	to	ADP
cord-186927-b8i85vo7	205	30	a	a	DET
cord-186927-b8i85vo7	205	31	decrease	decrease	NOUN
cord-186927-b8i85vo7	205	32	in	in	ADP
cord-186927-b8i85vo7	205	33	the	the	DET
cord-186927-b8i85vo7	205	34	volatility	volatility	NOUN
cord-186927-b8i85vo7	205	35	of	of	ADP
cord-186927-b8i85vo7	205	36	the	the	DET
cord-186927-b8i85vo7	205	37	processes	process	NOUN
cord-186927-b8i85vo7	205	38	s	s	PROPN
cord-186927-b8i85vo7	205	39	and	and	CCONJ
cord-186927-b8i85vo7	205	40	i.	i.	PROPN
cord-186927-b8i85vo7	205	41	hence	hence	ADV
cord-186927-b8i85vo7	205	42	,	,	PUNCT
cord-186927-b8i85vo7	205	43	both	both	CCONJ
cord-186927-b8i85vo7	205	44	the	the	DET
cord-186927-b8i85vo7	205	45	population	population	NOUN
cord-186927-b8i85vo7	205	46	and	and	CCONJ
cord-186927-b8i85vo7	205	47	the	the	DET
cord-186927-b8i85vo7	205	48	government	government	NOUN
cord-186927-b8i85vo7	205	49	have	have	VERB
cord-186927-b8i85vo7	205	50	a	a	DET
cord-186927-b8i85vo7	205	51	clearer	clear	ADJ
cord-186927-b8i85vo7	205	52	view	view	NOUN
cord-186927-b8i85vo7	205	53	of	of	ADP
cord-186927-b8i85vo7	205	54	the	the	DET
cord-186927-b8i85vo7	205	55	number	number	NOUN
cord-186927-b8i85vo7	205	56	of	of	ADP
cord-186927-b8i85vo7	205	57	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	205	58	and	and	CCONJ
cord-186927-b8i85vo7	205	59	infected	infected	ADJ
cord-186927-b8i85vo7	205	60	,	,	PUNCT
cord-186927-b8i85vo7	205	61	and	and	CCONJ
cord-186927-b8i85vo7	205	62	thus	thus	ADV
cord-186927-b8i85vo7	205	63	on	on	ADP
cord-186927-b8i85vo7	205	64	the	the	DET
cord-186927-b8i85vo7	205	65	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	205	66	.	.	PUNCT
cord-186927-b8i85vo7	206	1	however	however	ADV
cord-186927-b8i85vo7	206	2	,	,	PUNCT
cord-186927-b8i85vo7	206	3	this	this	DET
cord-186927-b8i85vo7	206	4	strategy	strategy	NOUN
cord-186927-b8i85vo7	206	5	comes	come	VERB
cord-186927-b8i85vo7	206	6	at	at	ADP
cord-186927-b8i85vo7	206	7	an	an	DET
cord-186927-b8i85vo7	206	8	economic	economic	ADJ
cord-186927-b8i85vo7	206	9	cost	cost	NOUN
cord-186927-b8i85vo7	206	10	for	for	ADP
cord-186927-b8i85vo7	206	11	the	the	DET
cord-186927-b8i85vo7	206	12	government	government	NOUN
cord-186927-b8i85vo7	206	13	.	.	PUNCT
cord-186927-b8i85vo7	207	1	we	we	PRON
cord-186927-b8i85vo7	207	2	then	then	ADV
cord-186927-b8i85vo7	207	3	assume	assume	VERB
cord-186927-b8i85vo7	207	4	that	that	SCONJ
cord-186927-b8i85vo7	207	5	,	,	PUNCT
cord-186927-b8i85vo7	207	6	without	without	ADP
cord-186927-b8i85vo7	207	7	any	any	DET
cord-186927-b8i85vo7	207	8	specific	specific	ADJ
cord-186927-b8i85vo7	207	9	effort	effort	NOUN
cord-186927-b8i85vo7	207	10	of	of	ADP
cord-186927-b8i85vo7	207	11	the	the	DET
cord-186927-b8i85vo7	207	12	government	government	NOUN
cord-186927-b8i85vo7	207	13	,	,	PUNCT
cord-186927-b8i85vo7	207	14	α	α	PRON
cord-186927-b8i85vo7	207	15	is	be	AUX
cord-186927-b8i85vo7	207	16	equal	equal	ADJ
cord-186927-b8i85vo7	207	17	to	to	ADP
cord-186927-b8i85vo7	207	18	1	1	NUM
cord-186927-b8i85vo7	207	19	.	.	PUNCT
cord-186927-b8i85vo7	208	1	we	we	PRON
cord-186927-b8i85vo7	208	2	also	also	ADV
cord-186927-b8i85vo7	208	3	fix	fix	VERB
cord-186927-b8i85vo7	208	4	a	a	DET
cord-186927-b8i85vo7	208	5	small	small	ADJ
cord-186927-b8i85vo7	208	6	parameter	parameter	NOUN
cord-186927-b8i85vo7	208	7	ε	ε	NOUN
cord-186927-b8i85vo7	208	8	∈	∈	NOUN
cord-186927-b8i85vo7	208	9	(	(	PUNCT
cord-186927-b8i85vo7	208	10	0	0	NUM
cord-186927-b8i85vo7	208	11	,	,	PUNCT
cord-186927-b8i85vo7	208	12	1	1	NUM
cord-186927-b8i85vo7	208	13	)	)	PUNCT
cord-186927-b8i85vo7	208	14	to	to	PART
cord-186927-b8i85vo7	208	15	consider	consider	VERB
cord-186927-b8i85vo7	208	16	the	the	DET
cord-186927-b8i85vo7	208	17	subset	subset	NOUN
cord-186927-b8i85vo7	208	18	a	a	DET
cord-186927-b8i85vo7	208	19	:	:	PUNCT
cord-186927-b8i85vo7	208	20	=	=	NOUN
cord-186927-b8i85vo7	208	21	[	[	X
cord-186927-b8i85vo7	208	22	ε	ε	NOUN
cord-186927-b8i85vo7	208	23	,	,	PUNCT
cord-186927-b8i85vo7	208	24	1	1	NUM
cord-186927-b8i85vo7	208	25	]	]	PUNCT
cord-186927-b8i85vo7	208	26	.	.	PUNCT
cord-186927-b8i85vo7	209	1	6	6	NUM
cord-186927-b8i85vo7	209	2	the	the	DET
cord-186927-b8i85vo7	209	3	control	control	NOUN
cord-186927-b8i85vo7	209	4	α	α	NOUN
cord-186927-b8i85vo7	209	5	of	of	ADP
cord-186927-b8i85vo7	209	6	the	the	DET
cord-186927-b8i85vo7	209	7	government	government	NOUN
cord-186927-b8i85vo7	209	8	is	be	AUX
cord-186927-b8i85vo7	209	9	assumed	assume	VERB
cord-186927-b8i85vo7	209	10	to	to	PART
cord-186927-b8i85vo7	209	11	be	be	AUX
cord-186927-b8i85vo7	209	12	a	a	PRON
cord-186927-b8i85vo7	209	13	-	-	PUNCT
cord-186927-b8i85vo7	209	14	valued	value	VERB
cord-186927-b8i85vo7	209	15	,	,	PUNCT
cord-186927-b8i85vo7	209	16	and	and	CCONJ
cord-186927-b8i85vo7	209	17	we	we	PRON
cord-186927-b8i85vo7	209	18	denote	denote	VERB
cord-186927-b8i85vo7	209	19	by	by	ADP
cord-186927-b8i85vo7	209	20	a	a	DET
cord-186927-b8i85vo7	209	21	the	the	DET
cord-186927-b8i85vo7	209	22	corresponding	corresponding	ADJ
cord-186927-b8i85vo7	209	23	set	set	NOUN
cord-186927-b8i85vo7	209	24	of	of	ADP
cord-186927-b8i85vo7	209	25	processes	process	NOUN
cord-186927-b8i85vo7	209	26	.	.	PUNCT
cord-186927-b8i85vo7	210	1	7	7	NUM
cord-186927-b8i85vo7	210	2	in	in	ADP
cord-186927-b8i85vo7	210	3	addition	addition	NOUN
cord-186927-b8i85vo7	210	4	,	,	PUNCT
cord-186927-b8i85vo7	210	5	the	the	DET
cord-186927-b8i85vo7	210	6	testing	testing	NOUN
cord-186927-b8i85vo7	210	7	policy	policy	NOUN
cord-186927-b8i85vo7	210	8	allows	allow	VERB
cord-186927-b8i85vo7	210	9	the	the	DET
cord-186927-b8i85vo7	210	10	government	government	NOUN
cord-186927-b8i85vo7	210	11	to	to	PART
cord-186927-b8i85vo7	210	12	isolate	isolate	VERB
cord-186927-b8i85vo7	210	13	individuals	individual	NOUN
cord-186927-b8i85vo7	210	14	with	with	ADP
cord-186927-b8i85vo7	210	15	positive	positive	ADJ
cord-186927-b8i85vo7	210	16	test	test	NOUN
cord-186927-b8i85vo7	210	17	results	result	NOUN
cord-186927-b8i85vo7	210	18	.	.	PUNCT
cord-186927-b8i85vo7	211	1	therefore	therefore	ADV
cord-186927-b8i85vo7	211	2	,	,	PUNCT
cord-186927-b8i85vo7	211	3	the	the	DET
cord-186927-b8i85vo7	211	4	control	control	NOUN
cord-186927-b8i85vo7	211	5	α	α	PRON
cord-186927-b8i85vo7	211	6	also	also	ADV
cord-186927-b8i85vo7	211	7	has	have	VERB
cord-186927-b8i85vo7	211	8	an	an	DET
cord-186927-b8i85vo7	211	9	impact	impact	NOUN
cord-186927-b8i85vo7	211	10	on	on	ADP
cord-186927-b8i85vo7	211	11	the	the	DET
cord-186927-b8i85vo7	211	12	effective	effective	ADJ
cord-186927-b8i85vo7	211	13	transmission	transmission	NOUN
cord-186927-b8i85vo7	211	14	rate	rate	NOUN
cord-186927-b8i85vo7	211	15	of	of	ADP
cord-186927-b8i85vo7	211	16	the	the	DET
cord-186927-b8i85vo7	211	17	disease	disease	NOUN
cord-186927-b8i85vo7	211	18	.	.	PUNCT
cord-186927-b8i85vo7	212	1	more	more	ADV
cord-186927-b8i85vo7	212	2	precisely	precisely	ADV
cord-186927-b8i85vo7	212	3	,	,	PUNCT
cord-186927-b8i85vo7	212	4	without	without	ADP
cord-186927-b8i85vo7	212	5	any	any	DET
cord-186927-b8i85vo7	212	6	testing	testing	NOUN
cord-186927-b8i85vo7	212	7	policy	policy	NOUN
cord-186927-b8i85vo7	212	8	,	,	PUNCT
cord-186927-b8i85vo7	212	9	i.e.	i.e.	X
cord-186927-b8i85vo7	212	10	α	α	X
cord-186927-b8i85vo7	212	11	=	=	NOUN
cord-186927-b8i85vo7	212	12	1	1	NUM
cord-186927-b8i85vo7	212	13	,	,	PUNCT
cord-186927-b8i85vo7	212	14	the	the	DET
cord-186927-b8i85vo7	212	15	government	government	NOUN
cord-186927-b8i85vo7	212	16	can	can	AUX
cord-186927-b8i85vo7	212	17	not	not	PART
cord-186927-b8i85vo7	212	18	isolate	isolate	VERB
cord-186927-b8i85vo7	212	19	contaminated	contaminate	VERB
cord-186927-b8i85vo7	212	20	individuals	individual	NOUN
cord-186927-b8i85vo7	212	21	efficiently	efficiently	ADV
cord-186927-b8i85vo7	212	22	.	.	PUNCT
cord-186927-b8i85vo7	213	1	in	in	ADP
cord-186927-b8i85vo7	213	2	this	this	DET
cord-186927-b8i85vo7	213	3	case	case	NOUN
cord-186927-b8i85vo7	213	4	,	,	PUNCT
cord-186927-b8i85vo7	213	5	all	all	DET
cord-186927-b8i85vo7	213	6	infected	infect	VERB
cord-186927-b8i85vo7	213	7	people	people	NOUN
cord-186927-b8i85vo7	213	8	spread	spread	VERB
cord-186927-b8i85vo7	213	9	the	the	DET
cord-186927-b8i85vo7	213	10	disease	disease	NOUN
cord-186927-b8i85vo7	213	11	,	,	PUNCT
cord-186927-b8i85vo7	213	12	and	and	CCONJ
cord-186927-b8i85vo7	213	13	the	the	DET
cord-186927-b8i85vo7	213	14	transmission	transmission	NOUN
cord-186927-b8i85vo7	213	15	rate	rate	NOUN
cord-186927-b8i85vo7	213	16	of	of	ADP
cord-186927-b8i85vo7	213	17	the	the	DET
cord-186927-b8i85vo7	213	18	virus	virus	NOUN
cord-186927-b8i85vo7	213	19	is	be	AUX
cord-186927-b8i85vo7	213	20	given	give	VERB
cord-186927-b8i85vo7	213	21	by	by	ADP
cord-186927-b8i85vo7	213	22	β	β	NOUN
cord-186927-b8i85vo7	213	23	.	.	PUNCT
cord-186927-b8i85vo7	214	1	conversely	conversely	ADV
cord-186927-b8i85vo7	214	2	,	,	PUNCT
cord-186927-b8i85vo7	214	3	if	if	SCONJ
cord-186927-b8i85vo7	214	4	a	a	DET
cord-186927-b8i85vo7	214	5	testing	testing	NOUN
cord-186927-b8i85vo7	214	6	policy	policy	NOUN
cord-186927-b8i85vo7	214	7	is	be	AUX
cord-186927-b8i85vo7	214	8	put	put	VERB
cord-186927-b8i85vo7	214	9	into	into	ADP
cord-186927-b8i85vo7	214	10	place	place	NOUN
cord-186927-b8i85vo7	214	11	by	by	ADP
cord-186927-b8i85vo7	214	12	the	the	DET
cord-186927-b8i85vo7	214	13	government	government	NOUN
cord-186927-b8i85vo7	214	14	,	,	PUNCT
cord-186927-b8i85vo7	214	15	i.e.	i.e.	X
cord-186927-b8i85vo7	214	16	when	when	SCONJ
cord-186927-b8i85vo7	214	17	α	α	X
cord-186927-b8i85vo7	214	18	<	<	X
cord-186927-b8i85vo7	214	19	1	1	NUM
cord-186927-b8i85vo7	214	20	,	,	PUNCT
cord-186927-b8i85vo7	214	21	we	we	PRON
cord-186927-b8i85vo7	214	22	consider	consider	VERB
cord-186927-b8i85vo7	214	23	that	that	SCONJ
cord-186927-b8i85vo7	214	24	individuals	individual	NOUN
cord-186927-b8i85vo7	214	25	with	with	ADP
cord-186927-b8i85vo7	214	26	positive	positive	ADJ
cord-186927-b8i85vo7	214	27	test	test	NOUN
cord-186927-b8i85vo7	214	28	results	result	NOUN
cord-186927-b8i85vo7	214	29	can	can	AUX
cord-186927-b8i85vo7	214	30	be	be	AUX
cord-186927-b8i85vo7	214	31	isolated	isolate	VERB
cord-186927-b8i85vo7	214	32	,	,	PUNCT
cord-186927-b8i85vo7	214	33	and	and	CCONJ
cord-186927-b8i85vo7	214	34	as	as	ADP
cord-186927-b8i85vo7	214	35	a	a	DET
cord-186927-b8i85vo7	214	36	consequence	consequence	NOUN
cord-186927-b8i85vo7	214	37	less	less	ADV
cord-186927-b8i85vo7	214	38	infected	infected	ADJ
cord-186927-b8i85vo7	214	39	people	people	NOUN
cord-186927-b8i85vo7	214	40	spread	spread	VERB
cord-186927-b8i85vo7	214	41	the	the	DET
cord-186927-b8i85vo7	214	42	disease	disease	NOUN
cord-186927-b8i85vo7	214	43	.	.	PUNCT
cord-186927-b8i85vo7	215	1	in	in	ADP
cord-186927-b8i85vo7	215	2	this	this	DET
cord-186927-b8i85vo7	215	3	case	case	NOUN
cord-186927-b8i85vo7	215	4	,	,	PUNCT
cord-186927-b8i85vo7	215	5	the	the	DET
cord-186927-b8i85vo7	215	6	effective	effective	ADJ
cord-186927-b8i85vo7	215	7	transmission	transmission	NOUN
cord-186927-b8i85vo7	215	8	rate	rate	NOUN
cord-186927-b8i85vo7	215	9	is	be	AUX
cord-186927-b8i85vo7	215	10	lower	low	ADJ
cord-186927-b8i85vo7	215	11	.	.	PUNCT
cord-186927-b8i85vo7	216	1	we	we	PRON
cord-186927-b8i85vo7	216	2	however	however	ADV
cord-186927-b8i85vo7	216	3	do	do	AUX
cord-186927-b8i85vo7	216	4	not	not	PART
cord-186927-b8i85vo7	216	5	assume	assume	VERB
cord-186927-b8i85vo7	216	6	that	that	SCONJ
cord-186927-b8i85vo7	216	7	the	the	DET
cord-186927-b8i85vo7	216	8	impact	impact	NOUN
cord-186927-b8i85vo7	216	9	of	of	ADP
cord-186927-b8i85vo7	216	10	the	the	DET
cord-186927-b8i85vo7	216	11	testing	testing	NOUN
cord-186927-b8i85vo7	216	12	policy	policy	NOUN
cord-186927-b8i85vo7	216	13	on	on	ADP
cord-186927-b8i85vo7	216	14	the	the	DET
cord-186927-b8i85vo7	216	15	volatility	volatility	NOUN
cord-186927-b8i85vo7	216	16	of	of	ADP
cord-186927-b8i85vo7	216	17	s	s	NOUN
cord-186927-b8i85vo7	216	18	and	and	CCONJ
cord-186927-b8i85vo7	216	19	i	i	NOUN
cord-186927-b8i85vo7	216	20	,	,	PUNCT
cord-186927-b8i85vo7	216	21	and	and	CCONJ
cord-186927-b8i85vo7	216	22	on	on	ADP
cord-186927-b8i85vo7	216	23	the	the	DET
cord-186927-b8i85vo7	216	24	transmission	transmission	NOUN
cord-186927-b8i85vo7	216	25	rate	rate	NOUN
cord-186927-b8i85vo7	216	26	has	have	VERB
cord-186927-b8i85vo7	216	27	the	the	DET
cord-186927-b8i85vo7	216	28	same	same	ADJ
cord-186927-b8i85vo7	216	29	magnitude	magnitude	NOUN
cord-186927-b8i85vo7	216	30	.	.	PUNCT
cord-186927-b8i85vo7	217	1	indeed	indeed	ADV
cord-186927-b8i85vo7	217	2	,	,	PUNCT
cord-186927-b8i85vo7	217	3	we	we	PRON
cord-186927-b8i85vo7	217	4	expect	expect	VERB
cord-186927-b8i85vo7	217	5	a	a	DET
cord-186927-b8i85vo7	217	6	lower	low	ADJ
cord-186927-b8i85vo7	217	7	reduction	reduction	NOUN
cord-186927-b8i85vo7	217	8	of	of	ADP
cord-186927-b8i85vo7	217	9	the	the	DET
cord-186927-b8i85vo7	217	10	effective	effective	ADJ
cord-186927-b8i85vo7	217	11	transmission	transmission	NOUN
cord-186927-b8i85vo7	217	12	rate	rate	NOUN
cord-186927-b8i85vo7	217	13	,	,	PUNCT
cord-186927-b8i85vo7	217	14	compared	compare	VERB
cord-186927-b8i85vo7	217	15	to	to	ADP
cord-186927-b8i85vo7	217	16	the	the	DET
cord-186927-b8i85vo7	217	17	volatility	volatility	NOUN
cord-186927-b8i85vo7	217	18	reduction	reduction	NOUN
cord-186927-b8i85vo7	217	19	for	for	ADP
cord-186927-b8i85vo7	217	20	a	a	DET
cord-186927-b8i85vo7	217	21	given	give	VERB
cord-186927-b8i85vo7	217	22	policy	policy	NOUN
cord-186927-b8i85vo7	217	23	α	α	PROPN
cord-186927-b8i85vo7	217	24	.	.	PUNCT
cord-186927-b8i85vo7	218	1	this	this	PRON
cord-186927-b8i85vo7	218	2	should	should	AUX
cord-186927-b8i85vo7	218	3	be	be	AUX
cord-186927-b8i85vo7	218	4	understood	understand	VERB
cord-186927-b8i85vo7	218	5	as	as	ADP
cord-186927-b8i85vo7	218	6	a	a	DET
cord-186927-b8i85vo7	218	7	manifestation	manifestation	NOUN
cord-186927-b8i85vo7	218	8	of	of	ADP
cord-186927-b8i85vo7	218	9	the	the	DET
cord-186927-b8i85vo7	218	10	fact	fact	NOUN
cord-186927-b8i85vo7	218	11	that	that	SCONJ
cord-186927-b8i85vo7	218	12	it	it	PRON
cord-186927-b8i85vo7	218	13	is	be	AUX
cord-186927-b8i85vo7	218	14	easier	easy	ADJ
cord-186927-b8i85vo7	218	15	to	to	PART
cord-186927-b8i85vo7	218	16	reduce	reduce	VERB
cord-186927-b8i85vo7	218	17	the	the	DET
cord-186927-b8i85vo7	218	18	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	218	19	on	on	ADP
cord-186927-b8i85vo7	218	20	the	the	DET
cord-186927-b8i85vo7	218	21	number	number	NOUN
cord-186927-b8i85vo7	218	22	of	of	ADP
cord-186927-b8i85vo7	218	23	infected	infected	ADJ
cord-186927-b8i85vo7	218	24	people	people	NOUN
cord-186927-b8i85vo7	218	25	,	,	PUNCT
cord-186927-b8i85vo7	218	26	compared	compare	VERB
cord-186927-b8i85vo7	218	27	to	to	AUX
cord-186927-b8i85vo7	218	28	actually	actually	ADV
cord-186927-b8i85vo7	218	29	isolate	isolate	VERB
cord-186927-b8i85vo7	218	30	individuals	individual	NOUN
cord-186927-b8i85vo7	218	31	who	who	PRON
cord-186927-b8i85vo7	218	32	have	have	AUX
cord-186927-b8i85vo7	218	33	been	be	AUX
cord-186927-b8i85vo7	218	34	identified	identify	VERB
cord-186927-b8i85vo7	218	35	as	as	ADP
cord-186927-b8i85vo7	218	36	infected	infect	VERB
cord-186927-b8i85vo7	218	37	.	.	PUNCT
cord-186927-b8i85vo7	219	1	we	we	PRON
cord-186927-b8i85vo7	219	2	thus	thus	ADV
cord-186927-b8i85vo7	219	3	assume	assume	VERB
cord-186927-b8i85vo7	219	4	a	a	DET
cord-186927-b8i85vo7	219	5	linear	linear	ADJ
cord-186927-b8i85vo7	219	6	dependency	dependency	NOUN
cord-186927-b8i85vo7	219	7	with	with	ADP
cord-186927-b8i85vo7	219	8	respect	respect	NOUN
cord-186927-b8i85vo7	219	9	to	to	ADP
cord-186927-b8i85vo7	219	10	α	α	PRON
cord-186927-b8i85vo7	219	11	for	for	ADP
cord-186927-b8i85vo7	219	12	the	the	DET
cord-186927-b8i85vo7	219	13	volatility	volatility	NOUN
cord-186927-b8i85vo7	219	14	of	of	ADP
cord-186927-b8i85vo7	219	15	both	both	DET
cord-186927-b8i85vo7	219	16	s	s	NOUN
cord-186927-b8i85vo7	219	17	and	and	CCONJ
cord-186927-b8i85vo7	219	18	i	i	PRON
cord-186927-b8i85vo7	219	19	,	,	PUNCT
cord-186927-b8i85vo7	219	20	while	while	SCONJ
cord-186927-b8i85vo7	219	21	the	the	DET
cord-186927-b8i85vo7	219	22	effective	effective	ADJ
cord-186927-b8i85vo7	219	23	transmission	transmission	NOUN
cord-186927-b8i85vo7	219	24	rate	rate	NOUN
cord-186927-b8i85vo7	219	25	is	be	AUX
cord-186927-b8i85vo7	219	26	chosen	choose	VERB
cord-186927-b8i85vo7	219	27	equal	equal	ADJ
cord-186927-b8i85vo7	219	28	to	to	ADP
cord-186927-b8i85vo7	219	29	β	β	PROPN
cord-186927-b8i85vo7	219	30	√	√	PROPN
cord-186927-b8i85vo7	219	31	α	α	PROPN
cord-186927-b8i85vo7	219	32	,	,	PUNCT
cord-186927-b8i85vo7	219	33	so	so	SCONJ
cord-186927-b8i85vo7	219	34	that	that	SCONJ
cord-186927-b8i85vo7	219	35	the	the	DET
cord-186927-b8i85vo7	219	36	number	number	NOUN
cord-186927-b8i85vo7	219	37	of	of	ADP
cord-186927-b8i85vo7	219	38	infected	infected	ADJ
cord-186927-b8i85vo7	219	39	people	people	NOUN
cord-186927-b8i85vo7	219	40	spreading	spread	VERB
cord-186927-b8i85vo7	219	41	the	the	DET
cord-186927-b8i85vo7	219	42	disease	disease	NOUN
cord-186927-b8i85vo7	219	43	at	at	ADP
cord-186927-b8i85vo7	219	44	time	time	NOUN
cord-186927-b8i85vo7	219	45	t	t	PRON
cord-186927-b8i85vo7	219	46	is	be	AUX
cord-186927-b8i85vo7	219	47	given	give	VERB
cord-186927-b8i85vo7	219	48	by	by	ADP
cord-186927-b8i85vo7	219	49	we	we	PRON
cord-186927-b8i85vo7	219	50	can	can	AUX
cord-186927-b8i85vo7	219	51	now	now	ADV
cord-186927-b8i85vo7	219	52	consider	consider	VERB
cord-186927-b8i85vo7	219	53	the	the	DET
cord-186927-b8i85vo7	219	54	sis	sis	NOUN
cord-186927-b8i85vo7	219	55	model	model	NOUN
cord-186927-b8i85vo7	219	56	previously	previously	ADV
cord-186927-b8i85vo7	219	57	defined	define	VERB
cord-186927-b8i85vo7	219	58	by	by	ADP
cord-186927-b8i85vo7	219	59	(	(	PUNCT
cord-186927-b8i85vo7	219	60	2.1	2.1	NUM
cord-186927-b8i85vo7	219	61	)	)	PUNCT
cord-186927-b8i85vo7	219	62	,	,	PUNCT
cord-186927-b8i85vo7	219	63	but	but	CCONJ
cord-186927-b8i85vo7	219	64	in	in	ADP
cord-186927-b8i85vo7	219	65	its	its	PRON
cord-186927-b8i85vo7	219	66	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	219	67	version	version	NOUN
cord-186927-b8i85vo7	219	68	:	:	PUNCT
cord-186927-b8i85vo7	219	69	the	the	DET
cord-186927-b8i85vo7	219	70	number	number	NOUN
cord-186927-b8i85vo7	219	71	of	of	ADP
cord-186927-b8i85vo7	219	72	infected	infect	VERB
cord-186927-b8i85vo7	219	73	,	,	PUNCT
cord-186927-b8i85vo7	219	74	and	and	CCONJ
cord-186927-b8i85vo7	219	75	therefore	therefore	ADV
cord-186927-b8i85vo7	219	76	the	the	DET
cord-186927-b8i85vo7	219	77	number	number	NOUN
cord-186927-b8i85vo7	219	78	of	of	ADP
cord-186927-b8i85vo7	219	79	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	219	80	,	,	PUNCT
cord-186927-b8i85vo7	219	81	are	be	AUX
cord-186927-b8i85vo7	219	82	impacted	impact	VERB
cord-186927-b8i85vo7	219	83	at	at	ADP
cord-186927-b8i85vo7	219	84	each	each	DET
cord-186927-b8i85vo7	219	85	time	time	NOUN
cord-186927-b8i85vo7	219	86	t	t	NOUN
cord-186927-b8i85vo7	219	87	by	by	ADP
cord-186927-b8i85vo7	219	88	a	a	DET
cord-186927-b8i85vo7	219	89	brownian	brownian	ADJ
cord-186927-b8i85vo7	219	90	motion	motion	NOUN
cord-186927-b8i85vo7	219	91	w	w	PROPN
cord-186927-b8i85vo7	219	92	t	t	PROPN
cord-186927-b8i85vo7	219	93	.	.	PUNCT
cord-186927-b8i85vo7	220	1	more	more	ADV
cord-186927-b8i85vo7	220	2	precisely	precisely	ADV
cord-186927-b8i85vo7	220	3	,	,	PUNCT
cord-186927-b8i85vo7	220	4	the	the	DET
cord-186927-b8i85vo7	220	5	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	220	6	of	of	ADP
cord-186927-b8i85vo7	220	7	the	the	DET
cord-186927-b8i85vo7	220	8	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	220	9	is	be	AUX
cord-186927-b8i85vo7	220	10	now	now	ADV
cord-186927-b8i85vo7	220	11	given	give	VERB
cord-186927-b8i85vo7	220	12	by	by	ADP
cord-186927-b8i85vo7	220	13	the	the	DET
cord-186927-b8i85vo7	220	14	following	follow	VERB
cord-186927-b8i85vo7	220	15	system	system	NOUN
cord-186927-b8i85vo7	220	16	similarly	similarly	ADV
cord-186927-b8i85vo7	220	17	to	to	ADP
cord-186927-b8i85vo7	220	18	the	the	DET
cord-186927-b8i85vo7	220	19	sis	sis	PROPN
cord-186927-b8i85vo7	220	20	model	model	NOUN
cord-186927-b8i85vo7	220	21	,	,	PUNCT
cord-186927-b8i85vo7	220	22	we	we	PRON
cord-186927-b8i85vo7	220	23	consider	consider	VERB
cord-186927-b8i85vo7	220	24	that	that	SCONJ
cord-186927-b8i85vo7	220	25	the	the	DET
cord-186927-b8i85vo7	220	26	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	220	27	model	model	NOUN
cord-186927-b8i85vo7	220	28	sir	sir	NOUN
cord-186927-b8i85vo7	220	29	described	describe	VERB
cord-186927-b8i85vo7	220	30	by	by	ADP
cord-186927-b8i85vo7	220	31	(	(	PUNCT
cord-186927-b8i85vo7	220	32	2.2	2.2	NUM
cord-186927-b8i85vo7	220	33	)	)	PUNCT
cord-186927-b8i85vo7	220	34	is	be	AUX
cord-186927-b8i85vo7	220	35	also	also	ADV
cord-186927-b8i85vo7	220	36	subject	subject	ADJ
cord-186927-b8i85vo7	220	37	to	to	ADP
cord-186927-b8i85vo7	220	38	a	a	DET
cord-186927-b8i85vo7	220	39	noise	noise	NOUN
cord-186927-b8i85vo7	220	40	in	in	ADP
cord-186927-b8i85vo7	220	41	the	the	DET
cord-186927-b8i85vo7	220	42	estimation	estimation	NOUN
cord-186927-b8i85vo7	220	43	of	of	ADP
cord-186927-b8i85vo7	220	44	the	the	DET
cord-186927-b8i85vo7	220	45	proportion	proportion	NOUN
cord-186927-b8i85vo7	220	46	of	of	ADP
cord-186927-b8i85vo7	220	47	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	220	48	and	and	CCONJ
cord-186927-b8i85vo7	220	49	infected	infected	ADJ
cord-186927-b8i85vo7	220	50	individuals	individual	NOUN
cord-186927-b8i85vo7	220	51	.	.	PUNCT
cord-186927-b8i85vo7	221	1	inspired	inspire	VERB
cord-186927-b8i85vo7	221	2	by	by	ADP
cord-186927-b8i85vo7	221	3	the	the	DET
cord-186927-b8i85vo7	221	4	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	221	5	sir	sir	NOUN
cord-186927-b8i85vo7	221	6	model	model	NOUN
cord-186927-b8i85vo7	221	7	in	in	ADP
cord-186927-b8i85vo7	221	8	tornatore	tornatore	PROPN
cord-186927-b8i85vo7	221	9	,	,	PUNCT
cord-186927-b8i85vo7	221	10	buccellato	buccellato	PROPN
cord-186927-b8i85vo7	221	11	,	,	PUNCT
cord-186927-b8i85vo7	221	12	and	and	CCONJ
cord-186927-b8i85vo7	221	13	vetro	vetro	PROPN
cord-186927-b8i85vo7	221	14	[	[	X
cord-186927-b8i85vo7	221	15	103	103	NUM
cord-186927-b8i85vo7	221	16	]	]	PUNCT
cord-186927-b8i85vo7	221	17	,	,	PUNCT
cord-186927-b8i85vo7	221	18	the	the	DET
cord-186927-b8i85vo7	221	19	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	221	20	of	of	ADP
cord-186927-b8i85vo7	221	21	the	the	DET
cord-186927-b8i85vo7	221	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	221	23	is	be	AUX
cord-186927-b8i85vo7	221	24	now	now	ADV
cord-186927-b8i85vo7	221	25	given	give	VERB
cord-186927-b8i85vo7	221	26	by	by	ADP
cord-186927-b8i85vo7	221	27	the	the	DET
cord-186927-b8i85vo7	221	28	following	follow	VERB
cord-186927-b8i85vo7	221	29	system	system	NOUN
cord-186927-b8i85vo7	221	30	(	(	PUNCT
cord-186927-b8i85vo7	221	31	2.4	2.4	NUM
cord-186927-b8i85vo7	221	32	)	)	PUNCT
cord-186927-b8i85vo7	221	33	note	note	VERB
cord-186927-b8i85vo7	221	34	that	that	SCONJ
cord-186927-b8i85vo7	221	35	the	the	DET
cord-186927-b8i85vo7	221	36	proportion	proportion	NOUN
cord-186927-b8i85vo7	221	37	r	r	NOUN
cord-186927-b8i85vo7	221	38	of	of	ADP
cord-186927-b8i85vo7	221	39	individuals	individual	NOUN
cord-186927-b8i85vo7	221	40	in	in	ADP
cord-186927-b8i85vo7	221	41	recovery	recovery	NOUN
cord-186927-b8i85vo7	221	42	is	be	AUX
cord-186927-b8i85vo7	221	43	also	also	ADV
cord-186927-b8i85vo7	221	44	uncertain	uncertain	ADJ
cord-186927-b8i85vo7	221	45	,	,	PUNCT
cord-186927-b8i85vo7	221	46	but	but	CCONJ
cord-186927-b8i85vo7	221	47	only	only	ADV
cord-186927-b8i85vo7	221	48	through	through	ADP
cord-186927-b8i85vo7	221	49	its	its	PRON
cord-186927-b8i85vo7	221	50	dependency	dependency	NOUN
cord-186927-b8i85vo7	221	51	with	with	ADP
cord-186927-b8i85vo7	221	52	respect	respect	NOUN
cord-186927-b8i85vo7	221	53	to	to	ADP
cord-186927-b8i85vo7	221	54	i.	i.	PROPN
cord-186927-b8i85vo7	221	55	more	more	ADV
cord-186927-b8i85vo7	221	56	precisely	precisely	ADV
cord-186927-b8i85vo7	221	57	,	,	PUNCT
cord-186927-b8i85vo7	221	58	we	we	PRON
cord-186927-b8i85vo7	221	59	assume	assume	VERB
cord-186927-b8i85vo7	221	60	that	that	SCONJ
cord-186927-b8i85vo7	221	61	there	there	PRON
cord-186927-b8i85vo7	221	62	is	be	VERB
cord-186927-b8i85vo7	221	63	no	no	DET
cord-186927-b8i85vo7	221	64	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	221	65	on	on	ADP
cord-186927-b8i85vo7	221	66	the	the	DET
cord-186927-b8i85vo7	221	67	recovery	recovery	NOUN
cord-186927-b8i85vo7	221	68	rate	rate	NOUN
cord-186927-b8i85vo7	221	69	ρ	ρ	NUM
cord-186927-b8i85vo7	221	70	,	,	PUNCT
cord-186927-b8i85vo7	221	71	implying	imply	VERB
cord-186927-b8i85vo7	221	72	that	that	SCONJ
cord-186927-b8i85vo7	221	73	if	if	SCONJ
cord-186927-b8i85vo7	221	74	the	the	DET
cord-186927-b8i85vo7	221	75	proportion	proportion	NOUN
cord-186927-b8i85vo7	221	76	of	of	ADP
cord-186927-b8i85vo7	221	77	infected	infected	ADJ
cord-186927-b8i85vo7	221	78	individual	individual	NOUN
cord-186927-b8i85vo7	221	79	is	be	AUX
cord-186927-b8i85vo7	221	80	perfectly	perfectly	ADV
cord-186927-b8i85vo7	221	81	known	know	VERB
cord-186927-b8i85vo7	221	82	,	,	PUNCT
cord-186927-b8i85vo7	221	83	the	the	DET
cord-186927-b8i85vo7	221	84	proportion	proportion	NOUN
cord-186927-b8i85vo7	221	85	of	of	ADP
cord-186927-b8i85vo7	221	86	recovered	recover	VERB
cord-186927-b8i85vo7	221	87	is	be	AUX
cord-186927-b8i85vo7	221	88	also	also	ADV
cord-186927-b8i85vo7	221	89	known	know	VERB
cord-186927-b8i85vo7	221	90	without	without	ADP
cord-186927-b8i85vo7	221	91	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	221	92	.	.	PUNCT
cord-186927-b8i85vo7	222	1	this	this	DET
cord-186927-b8i85vo7	222	2	modelling	modelling	NOUN
cord-186927-b8i85vo7	222	3	choice	choice	NOUN
cord-186927-b8i85vo7	222	4	is	be	AUX
cord-186927-b8i85vo7	222	5	consistent	consistent	ADJ
cord-186927-b8i85vo7	222	6	with	with	ADP
cord-186927-b8i85vo7	222	7	most	most	ADJ
cord-186927-b8i85vo7	222	8	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	222	9	sir	sir	NOUN
cord-186927-b8i85vo7	222	10	models	model	NOUN
cord-186927-b8i85vo7	222	11	,	,	PUNCT
cord-186927-b8i85vo7	222	12	and	and	CCONJ
cord-186927-b8i85vo7	222	13	emphasises	emphasise	VERB
cord-186927-b8i85vo7	222	14	that	that	SCONJ
cord-186927-b8i85vo7	222	15	the	the	DET
cord-186927-b8i85vo7	222	16	major	major	ADJ
cord-186927-b8i85vo7	222	17	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	222	18	in	in	ADP
cord-186927-b8i85vo7	222	19	the	the	DET
cord-186927-b8i85vo7	222	20	current	current	ADJ
cord-186927-b8i85vo7	222	21	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	222	22	is	be	AUX
cord-186927-b8i85vo7	222	23	related	relate	VERB
cord-186927-b8i85vo7	222	24	to	to	ADP
cord-186927-b8i85vo7	222	25	the	the	DET
cord-186927-b8i85vo7	222	26	non	non	ADJ
cord-186927-b8i85vo7	222	27	-	-	ADJ
cord-186927-b8i85vo7	222	28	negligible	negligible	ADJ
cord-186927-b8i85vo7	222	29	proportion	proportion	NOUN
cord-186927-b8i85vo7	222	30	of	of	ADP
cord-186927-b8i85vo7	222	31	(	(	PUNCT
cord-186927-b8i85vo7	222	32	nearly	nearly	ADV
cord-186927-b8i85vo7	222	33	)	)	PUNCT
cord-186927-b8i85vo7	222	34	asymptomatic	asymptomatic	ADJ
cord-186927-b8i85vo7	222	35	individuals	individual	NOUN
cord-186927-b8i85vo7	222	36	.	.	PUNCT
cord-186927-b8i85vo7	223	1	indeed	indeed	ADV
cord-186927-b8i85vo7	223	2	,	,	PUNCT
cord-186927-b8i85vo7	223	3	an	an	DET
cord-186927-b8i85vo7	223	4	asymptomatic	asymptomatic	ADJ
cord-186927-b8i85vo7	223	5	individual	individual	NOUN
cord-186927-b8i85vo7	223	6	may	may	AUX
cord-186927-b8i85vo7	223	7	be	be	AUX
cord-186927-b8i85vo7	223	8	mis	mis	PROPN
cord-186927-b8i85vo7	223	9	-	-	PUNCT
cord-186927-b8i85vo7	223	10	classified	classified	ADJ
cord-186927-b8i85vo7	223	11	as	as	ADP
cord-186927-b8i85vo7	223	12	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	223	13	.	.	PUNCT
cord-186927-b8i85vo7	224	1	this	this	PRON
cord-186927-b8i85vo7	224	2	is	be	AUX
cord-186927-b8i85vo7	224	3	also	also	ADV
cord-186927-b8i85vo7	224	4	the	the	DET
cord-186927-b8i85vo7	224	5	case	case	NOUN
cord-186927-b8i85vo7	224	6	for	for	ADP
cord-186927-b8i85vo7	224	7	an	an	DET
cord-186927-b8i85vo7	224	8	individual	individual	NOUN
cord-186927-b8i85vo7	224	9	in	in	ADP
cord-186927-b8i85vo7	224	10	recovery	recovery	NOUN
cord-186927-b8i85vo7	224	11	,	,	PUNCT
cord-186927-b8i85vo7	224	12	who	who	PRON
cord-186927-b8i85vo7	224	13	has	have	AUX
cord-186927-b8i85vo7	224	14	been	be	AUX
cord-186927-b8i85vo7	224	15	asymptomatic	asymptomatic	ADJ
cord-186927-b8i85vo7	224	16	,	,	PUNCT
cord-186927-b8i85vo7	224	17	but	but	CCONJ
cord-186927-b8i85vo7	224	18	the	the	DET
cord-186927-b8i85vo7	224	19	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	224	20	is	be	AUX
cord-186927-b8i85vo7	224	21	solely	solely	ADV
cord-186927-b8i85vo7	224	22	related	related	ADJ
cord-186927-b8i85vo7	224	23	to	to	ADP
cord-186927-b8i85vo7	224	24	the	the	DET
cord-186927-b8i85vo7	224	25	fact	fact	NOUN
cord-186927-b8i85vo7	224	26	that	that	SCONJ
cord-186927-b8i85vo7	224	27	he	he	PRON
cord-186927-b8i85vo7	224	28	was	be	AUX
cord-186927-b8i85vo7	224	29	not	not	PART
cord-186927-b8i85vo7	224	30	classified	classify	VERB
cord-186927-b8i85vo7	224	31	as	as	ADP
cord-186927-b8i85vo7	224	32	infected	infect	VERB
cord-186927-b8i85vo7	224	33	when	when	SCONJ
cord-186927-b8i85vo7	224	34	he	he	PRON
cord-186927-b8i85vo7	224	35	actually	actually	ADV
cord-186927-b8i85vo7	224	36	was	be	AUX
cord-186927-b8i85vo7	224	37	.	.	PUNCT
cord-186927-b8i85vo7	225	1	in	in	ADP
cord-186927-b8i85vo7	225	2	order	order	NOUN
cord-186927-b8i85vo7	225	3	to	to	PART
cord-186927-b8i85vo7	225	4	provide	provide	VERB
cord-186927-b8i85vo7	225	5	a	a	DET
cord-186927-b8i85vo7	225	6	unified	unified	ADJ
cord-186927-b8i85vo7	225	7	framework	framework	NOUN
cord-186927-b8i85vo7	225	8	for	for	ADP
cord-186927-b8i85vo7	225	9	both	both	CCONJ
cord-186927-b8i85vo7	225	10	the	the	DET
cord-186927-b8i85vo7	225	11	sis	sis	NOUN
cord-186927-b8i85vo7	225	12	and	and	CCONJ
cord-186927-b8i85vo7	225	13	sir	sir	NOUN
cord-186927-b8i85vo7	225	14	models	model	NOUN
cord-186927-b8i85vo7	225	15	,	,	PUNCT
cord-186927-b8i85vo7	225	16	and	and	CCONJ
cord-186927-b8i85vo7	225	17	simplify	simplify	VERB
cord-186927-b8i85vo7	225	18	the	the	DET
cord-186927-b8i85vo7	225	19	presentation	presentation	NOUN
cord-186927-b8i85vo7	225	20	,	,	PUNCT
cord-186927-b8i85vo7	225	21	we	we	PRON
cord-186927-b8i85vo7	225	22	will	will	AUX
cord-186927-b8i85vo7	225	23	consider	consider	VERB
cord-186927-b8i85vo7	225	24	the	the	DET
cord-186927-b8i85vo7	225	25	following	follow	VERB
cord-186927-b8i85vo7	225	26	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	225	27	for	for	ADP
cord-186927-b8i85vo7	225	28	the	the	DET
cord-186927-b8i85vo7	225	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	225	30	(	(	PUNCT
cord-186927-b8i85vo7	225	31	2.5	2.5	NUM
cord-186927-b8i85vo7	225	32	)	)	PUNCT
cord-186927-b8i85vo7	225	33	notice	notice	VERB
cord-186927-b8i85vo7	225	34	that	that	SCONJ
cord-186927-b8i85vo7	225	35	to	to	PART
cord-186927-b8i85vo7	225	36	recover	recover	VERB
cord-186927-b8i85vo7	225	37	the	the	DET
cord-186927-b8i85vo7	225	38	sis	sis	NOUN
cord-186927-b8i85vo7	225	39	model	model	NOUN
cord-186927-b8i85vo7	225	40	,	,	PUNCT
cord-186927-b8i85vo7	225	41	one	one	PRON
cord-186927-b8i85vo7	225	42	has	have	VERB
cord-186927-b8i85vo7	225	43	to	to	PART
cord-186927-b8i85vo7	225	44	set	set	VERB
cord-186927-b8i85vo7	225	45	ρ	ρ	PROPN
cord-186927-b8i85vo7	225	46	=	=	NOUN
cord-186927-b8i85vo7	225	47	0	0	NUM
cord-186927-b8i85vo7	225	48	,	,	PUNCT
cord-186927-b8i85vo7	225	49	and	and	CCONJ
cord-186927-b8i85vo7	225	50	conversely	conversely	ADV
cord-186927-b8i85vo7	225	51	,	,	PUNCT
cord-186927-b8i85vo7	225	52	ν	ν	PROPN
cord-186927-b8i85vo7	225	53	=	=	NOUN
cord-186927-b8i85vo7	225	54	0	0	NUM
cord-186927-b8i85vo7	225	55	to	to	PART
cord-186927-b8i85vo7	225	56	obtain	obtain	VERB
cord-186927-b8i85vo7	225	57	the	the	DET
cord-186927-b8i85vo7	225	58	sir	sir	PROPN
cord-186927-b8i85vo7	225	59	model	model	NOUN
cord-186927-b8i85vo7	225	60	.	.	PUNCT
cord-186927-b8i85vo7	226	1	in	in	ADP
cord-186927-b8i85vo7	226	2	addition	addition	NOUN
cord-186927-b8i85vo7	226	3	to	to	ADP
cord-186927-b8i85vo7	226	4	the	the	DET
cord-186927-b8i85vo7	226	5	choice	choice	NOUN
cord-186927-b8i85vo7	226	6	of	of	ADP
cord-186927-b8i85vo7	226	7	a	a	DET
cord-186927-b8i85vo7	226	8	testing	testing	NOUN
cord-186927-b8i85vo7	226	9	policy	policy	NOUN
cord-186927-b8i85vo7	226	10	,	,	PUNCT
cord-186927-b8i85vo7	226	11	the	the	DET
cord-186927-b8i85vo7	226	12	government	government	NOUN
cord-186927-b8i85vo7	226	13	can	can	AUX
cord-186927-b8i85vo7	226	14	also	also	ADV
cord-186927-b8i85vo7	226	15	incentivise	incentivise	VERB
cord-186927-b8i85vo7	226	16	the	the	DET
cord-186927-b8i85vo7	226	17	population	population	NOUN
cord-186927-b8i85vo7	226	18	to	to	PART
cord-186927-b8i85vo7	226	19	limit	limit	VERB
cord-186927-b8i85vo7	226	20	their	their	PRON
cord-186927-b8i85vo7	226	21	social	social	ADJ
cord-186927-b8i85vo7	226	22	interactions	interaction	NOUN
cord-186927-b8i85vo7	226	23	,	,	PUNCT
cord-186927-b8i85vo7	226	24	in	in	ADP
cord-186927-b8i85vo7	226	25	order	order	NOUN
cord-186927-b8i85vo7	226	26	to	to	PART
cord-186927-b8i85vo7	226	27	decrease	decrease	VERB
cord-186927-b8i85vo7	226	28	the	the	DET
cord-186927-b8i85vo7	226	29	transmission	transmission	NOUN
cord-186927-b8i85vo7	226	30	rate	rate	NOUN
cord-186927-b8i85vo7	226	31	of	of	ADP
cord-186927-b8i85vo7	226	32	the	the	DET
cord-186927-b8i85vo7	226	33	disease	disease	NOUN
cord-186927-b8i85vo7	226	34	,	,	PUNCT
cord-186927-b8i85vo7	226	35	by	by	ADP
cord-186927-b8i85vo7	226	36	introducing	introduce	VERB
cord-186927-b8i85vo7	226	37	financial	financial	ADJ
cord-186927-b8i85vo7	226	38	penalties	penalty	NOUN
cord-186927-b8i85vo7	226	39	.	.	PUNCT
cord-186927-b8i85vo7	227	1	more	more	ADV
cord-186927-b8i85vo7	227	2	precisely	precisely	ADV
cord-186927-b8i85vo7	227	3	,	,	PUNCT
cord-186927-b8i85vo7	227	4	at	at	ADP
cord-186927-b8i85vo7	227	5	time	time	NOUN
cord-186927-b8i85vo7	227	6	0	0	NUM
cord-186927-b8i85vo7	227	7	,	,	PUNCT
cord-186927-b8i85vo7	227	8	the	the	DET
cord-186927-b8i85vo7	227	9	government	government	NOUN
cord-186927-b8i85vo7	227	10	informs	inform	VERB
cord-186927-b8i85vo7	227	11	the	the	DET
cord-186927-b8i85vo7	227	12	population	population	NOUN
cord-186927-b8i85vo7	227	13	about	about	ADP
cord-186927-b8i85vo7	227	14	its	its	PRON
cord-186927-b8i85vo7	227	15	testing	testing	NOUN
cord-186927-b8i85vo7	227	16	policy	policy	NOUN
cord-186927-b8i85vo7	227	17	α	α	X
cord-186927-b8i85vo7	227	18	∈	∈	PROPN
cord-186927-b8i85vo7	227	19	a	a	PRON
cord-186927-b8i85vo7	227	20	,	,	PUNCT
cord-186927-b8i85vo7	227	21	as	as	ADV
cord-186927-b8i85vo7	227	22	well	well	ADV
cord-186927-b8i85vo7	227	23	as	as	ADP
cord-186927-b8i85vo7	227	24	its	its	PRON
cord-186927-b8i85vo7	227	25	fine	fine	ADJ
cord-186927-b8i85vo7	227	26	policy	policy	NOUN
cord-186927-b8i85vo7	227	27	χ	χ	NOUN
cord-186927-b8i85vo7	227	28	∈	∈	PROPN
cord-186927-b8i85vo7	227	29	c	c	PROPN
cord-186927-b8i85vo7	227	30	8	8	NUM
cord-186927-b8i85vo7	227	31	,	,	PUNCT
cord-186927-b8i85vo7	227	32	for	for	ADP
cord-186927-b8i85vo7	227	33	the	the	DET
cord-186927-b8i85vo7	227	34	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	227	35	period	period	NOUN
cord-186927-b8i85vo7	227	36	[	[	NOUN
cord-186927-b8i85vo7	227	37	0	0	NUM
cord-186927-b8i85vo7	227	38	,	,	PUNCT
cord-186927-b8i85vo7	227	39	t	t	NOUN
cord-186927-b8i85vo7	227	40	]	]	X
cord-186927-b8i85vo7	227	41	.	.	PUNCT
cord-186927-b8i85vo7	227	42	knowing	know	VERB
cord-186927-b8i85vo7	227	43	this	this	PRON
cord-186927-b8i85vo7	227	44	,	,	PUNCT
cord-186927-b8i85vo7	227	45	the	the	DET
cord-186927-b8i85vo7	227	46	population	population	NOUN
cord-186927-b8i85vo7	227	47	will	will	AUX
cord-186927-b8i85vo7	227	48	choose	choose	VERB
cord-186927-b8i85vo7	227	49	an	an	DET
cord-186927-b8i85vo7	227	50	interacting	interact	VERB
cord-186927-b8i85vo7	227	51	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	227	52	according	accord	VERB
cord-186927-b8i85vo7	227	53	to	to	ADP
cord-186927-b8i85vo7	227	54	the	the	DET
cord-186927-b8i85vo7	227	55	following	following	ADJ
cord-186927-b8i85vo7	227	56	rules	rule	NOUN
cord-186927-b8i85vo7	227	57	:	:	PUNCT
cord-186927-b8i85vo7	227	58	(	(	PUNCT
cord-186927-b8i85vo7	227	59	i	i	NOUN
cord-186927-b8i85vo7	227	60	)	)	PUNCT
cord-186927-b8i85vo7	227	61	an	an	DET
cord-186927-b8i85vo7	227	62	increase	increase	NOUN
cord-186927-b8i85vo7	227	63	in	in	ADP
cord-186927-b8i85vo7	227	64	the	the	DET
cord-186927-b8i85vo7	227	65	tax	tax	NOUN
cord-186927-b8i85vo7	227	66	lowers	lower	VERB
cord-186927-b8i85vo7	227	67	its	its	PRON
cord-186927-b8i85vo7	227	68	utility	utility	NOUN
cord-186927-b8i85vo7	227	69	;	;	PUNCT
cord-186927-b8i85vo7	227	70	(	(	PUNCT
cord-186927-b8i85vo7	227	71	ii	ii	PROPN
cord-186927-b8i85vo7	227	72	)	)	PUNCT
cord-186927-b8i85vo7	227	73	an	an	DET
cord-186927-b8i85vo7	227	74	increase	increase	NOUN
cord-186927-b8i85vo7	227	75	in	in	ADP
cord-186927-b8i85vo7	227	76	the	the	DET
cord-186927-b8i85vo7	227	77	level	level	NOUN
cord-186927-b8i85vo7	227	78	of	of	ADP
cord-186927-b8i85vo7	227	79	interaction	interaction	NOUN
cord-186927-b8i85vo7	227	80	(	(	PUNCT
cord-186927-b8i85vo7	227	81	up	up	ADP
cord-186927-b8i85vo7	227	82	to	to	ADP
cord-186927-b8i85vo7	227	83	a	a	DET
cord-186927-b8i85vo7	227	84	specific	specific	ADJ
cord-186927-b8i85vo7	227	85	threshold	threshold	NOUN
cord-186927-b8i85vo7	227	86	,	,	PUNCT
cord-186927-b8i85vo7	227	87	namely	namely	ADV
cord-186927-b8i85vo7	227	88	β	β	PROPN
cord-186927-b8i85vo7	227	89	)	)	PUNCT
cord-186927-b8i85vo7	227	90	improves	improve	VERB
cord-186927-b8i85vo7	227	91	its	its	PRON
cord-186927-b8i85vo7	227	92	well	well	NOUN
cord-186927-b8i85vo7	227	93	-	-	PUNCT
cord-186927-b8i85vo7	227	94	being	being	NOUN
cord-186927-b8i85vo7	227	95	;	;	PUNCT
cord-186927-b8i85vo7	227	96	(	(	PUNCT
cord-186927-b8i85vo7	227	97	iii	iii	X
cord-186927-b8i85vo7	227	98	)	)	PUNCT
cord-186927-b8i85vo7	227	99	the	the	DET
cord-186927-b8i85vo7	227	100	population	population	NOUN
cord-186927-b8i85vo7	227	101	is	be	AUX
cord-186927-b8i85vo7	227	102	scared	scared	ADJ
cord-186927-b8i85vo7	227	103	of	of	ADP
cord-186927-b8i85vo7	227	104	having	have	VERB
cord-186927-b8i85vo7	227	105	a	a	DET
cord-186927-b8i85vo7	227	106	large	large	ADJ
cord-186927-b8i85vo7	227	107	number	number	NOUN
cord-186927-b8i85vo7	227	108	of	of	ADP
cord-186927-b8i85vo7	227	109	infected	infected	ADJ
cord-186927-b8i85vo7	227	110	people	people	NOUN
cord-186927-b8i85vo7	227	111	.	.	PUNCT
cord-186927-b8i85vo7	228	1	8	8	NUM
cord-186927-b8i85vo7	228	2	see	see	VERB
cord-186927-b8i85vo7	228	3	section	section	NOUN
cord-186927-b8i85vo7	228	4	4.1.3	4.1.3	NUM
cord-186927-b8i85vo7	228	5	for	for	ADP
cord-186927-b8i85vo7	228	6	a	a	DET
cord-186927-b8i85vo7	228	7	rigorous	rigorous	ADJ
cord-186927-b8i85vo7	228	8	definition	definition	NOUN
cord-186927-b8i85vo7	228	9	of	of	ADP
cord-186927-b8i85vo7	228	10	the	the	DET
cord-186927-b8i85vo7	228	11	set	set	NOUN
cord-186927-b8i85vo7	228	12	c	c	NOUN
cord-186927-b8i85vo7	228	13	of	of	ADP
cord-186927-b8i85vo7	228	14	admissible	admissible	ADJ
cord-186927-b8i85vo7	228	15	fine	fine	ADJ
cord-186927-b8i85vo7	228	16	policies	policy	NOUN
cord-186927-b8i85vo7	228	17	.	.	PUNCT
cord-186927-b8i85vo7	229	1	we	we	PRON
cord-186927-b8i85vo7	229	2	stylise	stylise	VERB
cord-186927-b8i85vo7	229	3	the	the	DET
cord-186927-b8i85vo7	229	4	previous	previous	ADJ
cord-186927-b8i85vo7	229	5	facts	fact	NOUN
cord-186927-b8i85vo7	229	6	by	by	ADP
cord-186927-b8i85vo7	229	7	considering	consider	VERB
cord-186927-b8i85vo7	229	8	that	that	SCONJ
cord-186927-b8i85vo7	229	9	the	the	DET
cord-186927-b8i85vo7	229	10	population	population	NOUN
cord-186927-b8i85vo7	229	11	solves	solve	VERB
cord-186927-b8i85vo7	229	12	the	the	DET
cord-186927-b8i85vo7	229	13	following	follow	VERB
cord-186927-b8i85vo7	229	14	optimal	optimal	ADJ
cord-186927-b8i85vo7	229	15	control	control	NOUN
cord-186927-b8i85vo7	229	16	problem	problem	NOUN
cord-186927-b8i85vo7	229	17	,	,	PUNCT
cord-186927-b8i85vo7	229	18	for	for	ADP
cord-186927-b8i85vo7	229	19	a	a	DET
cord-186927-b8i85vo7	229	20	given	give	VERB
cord-186927-b8i85vo7	229	21	pair	pair	NOUN
cord-186927-b8i85vo7	229	22	(	(	PUNCT
cord-186927-b8i85vo7	229	23	α	α	PROPN
cord-186927-b8i85vo7	229	24	,	,	PUNCT
cord-186927-b8i85vo7	229	25	where	where	SCONJ
cord-186927-b8i85vo7	229	26	u	u	X
cord-186927-b8i85vo7	229	27	:	:	PUNCT
cord-186927-b8i85vo7	229	28	[	[	X
cord-186927-b8i85vo7	229	29	0	0	NUM
cord-186927-b8i85vo7	229	30	,	,	PUNCT
cord-186927-b8i85vo7	229	31	t	t	NOUN
cord-186927-b8i85vo7	229	32	]	]	X
cord-186927-b8i85vo7	229	33	×	×	X
cord-186927-b8i85vo7	229	34	b	b	X
cord-186927-b8i85vo7	229	35	×	×	X
cord-186927-b8i85vo7	230	1	r	r	NOUN
cord-186927-b8i85vo7	230	2	+	+	CCONJ
cord-186927-b8i85vo7	230	3	−→	−→	NOUN
cord-186927-b8i85vo7	230	4	r	r	NOUN
cord-186927-b8i85vo7	230	5	and	and	CCONJ
cord-186927-b8i85vo7	230	6	u	u	NOUN
cord-186927-b8i85vo7	230	7	:	:	PUNCT
cord-186927-b8i85vo7	231	1	r	r	X
cord-186927-b8i85vo7	231	2	−→	−→	NOUN
cord-186927-b8i85vo7	231	3	r	r	NOUN
cord-186927-b8i85vo7	231	4	are	be	AUX
cord-186927-b8i85vo7	231	5	continuous	continuous	ADJ
cord-186927-b8i85vo7	231	6	functions	function	NOUN
cord-186927-b8i85vo7	231	7	in	in	ADP
cord-186927-b8i85vo7	231	8	all	all	DET
cord-186927-b8i85vo7	231	9	their	their	PRON
cord-186927-b8i85vo7	231	10	arguments	argument	NOUN
cord-186927-b8i85vo7	231	11	,	,	PUNCT
cord-186927-b8i85vo7	231	12	and	and	CCONJ
cord-186927-b8i85vo7	231	13	u	u	PRON
cord-186927-b8i85vo7	231	14	is	be	AUX
cord-186927-b8i85vo7	231	15	a	a	DET
cord-186927-b8i85vo7	231	16	bijection	bijection	NOUN
cord-186927-b8i85vo7	231	17	from	from	ADP
cord-186927-b8i85vo7	231	18	r	r	NOUN
cord-186927-b8i85vo7	231	19	to	to	ADP
cord-186927-b8i85vo7	231	20	r.	r.	PROPN
cord-186927-b8i85vo7	231	21	given	give	VERB
cord-186927-b8i85vo7	231	22	a	a	DET
cord-186927-b8i85vo7	231	23	pair	pair	NOUN
cord-186927-b8i85vo7	231	24	(	(	PUNCT
cord-186927-b8i85vo7	231	25	α	α	NOUN
cord-186927-b8i85vo7	231	26	,	,	PUNCT
cord-186927-b8i85vo7	231	27	χ	χ	NUM
cord-186927-b8i85vo7	231	28	)	)	PUNCT
cord-186927-b8i85vo7	231	29	,	,	PUNCT
cord-186927-b8i85vo7	231	30	the	the	DET
cord-186927-b8i85vo7	231	31	set	set	NOUN
cord-186927-b8i85vo7	231	32	of	of	ADP
cord-186927-b8i85vo7	231	33	optimal	optimal	ADJ
cord-186927-b8i85vo7	231	34	contact	contact	NOUN
cord-186927-b8i85vo7	231	35	rates	rate	NOUN
cord-186927-b8i85vo7	231	36	β	β	NOUN
cord-186927-b8i85vo7	231	37	will	will	AUX
cord-186927-b8i85vo7	231	38	be	be	AUX
cord-186927-b8i85vo7	231	39	denoted	denote	VERB
cord-186927-b8i85vo7	231	40	b	b	PROPN
cord-186927-b8i85vo7	231	41	(	(	PUNCT
cord-186927-b8i85vo7	231	42	α	α	PROPN
cord-186927-b8i85vo7	231	43	,	,	PUNCT
cord-186927-b8i85vo7	231	44	χ	χ	NUM
cord-186927-b8i85vo7	231	45	)	)	PUNCT
cord-186927-b8i85vo7	231	46	.	.	PUNCT
cord-186927-b8i85vo7	232	1	9	9	NUM
cord-186927-b8i85vo7	232	2	the	the	DET
cord-186927-b8i85vo7	232	3	functions	function	NOUN
cord-186927-b8i85vo7	232	4	u	u	PROPN
cord-186927-b8i85vo7	232	5	and	and	CCONJ
cord-186927-b8i85vo7	232	6	u	u	PRON
cord-186927-b8i85vo7	232	7	should	should	AUX
cord-186927-b8i85vo7	232	8	be	be	AUX
cord-186927-b8i85vo7	232	9	interpreted	interpret	VERB
cord-186927-b8i85vo7	232	10	as	as	ADP
cord-186927-b8i85vo7	232	11	functions	function	NOUN
cord-186927-b8i85vo7	232	12	translating	translate	VERB
cord-186927-b8i85vo7	232	13	respectively	respectively	ADV
cord-186927-b8i85vo7	232	14	the	the	DET
cord-186927-b8i85vo7	232	15	actual	actual	ADJ
cord-186927-b8i85vo7	232	16	value	value	NOUN
cord-186927-b8i85vo7	232	17	of	of	ADP
cord-186927-b8i85vo7	232	18	interaction	interaction	NOUN
cord-186927-b8i85vo7	232	19	from	from	ADP
cord-186927-b8i85vo7	232	20	the	the	DET
cord-186927-b8i85vo7	232	21	point	point	NOUN
cord-186927-b8i85vo7	232	22	of	of	ADP
cord-186927-b8i85vo7	232	23	view	view	NOUN
cord-186927-b8i85vo7	232	24	of	of	ADP
cord-186927-b8i85vo7	232	25	the	the	DET
cord-186927-b8i85vo7	232	26	population	population	NOUN
cord-186927-b8i85vo7	232	27	,	,	PUNCT
cord-186927-b8i85vo7	232	28	and	and	CCONJ
cord-186927-b8i85vo7	232	29	the	the	DET
cord-186927-b8i85vo7	232	30	disutility	disutility	NOUN
cord-186927-b8i85vo7	232	31	associated	associate	VERB
cord-186927-b8i85vo7	232	32	to	to	ADP
cord-186927-b8i85vo7	232	33	the	the	DET
cord-186927-b8i85vo7	232	34	fine	fine	NOUN
cord-186927-b8i85vo7	232	35	.	.	PUNCT
cord-186927-b8i85vo7	233	1	more	more	ADV
cord-186927-b8i85vo7	233	2	precisely	precisely	ADV
cord-186927-b8i85vo7	233	3	,	,	PUNCT
cord-186927-b8i85vo7	233	4	the	the	DET
cord-186927-b8i85vo7	233	5	function	function	NOUN
cord-186927-b8i85vo7	233	6	u	u	PROPN
cord-186927-b8i85vo7	233	7	is	be	AUX
cord-186927-b8i85vo7	233	8	assumed	assume	VERB
cord-186927-b8i85vo7	233	9	to	to	PART
cord-186927-b8i85vo7	233	10	be	be	AUX
cord-186927-b8i85vo7	233	11	an	an	DET
cord-186927-b8i85vo7	233	12	increasing	increase	VERB
cord-186927-b8i85vo7	233	13	function	function	NOUN
cord-186927-b8i85vo7	233	14	,	,	PUNCT
cord-186927-b8i85vo7	233	15	according	accord	VERB
cord-186927-b8i85vo7	233	16	to	to	ADP
cord-186927-b8i85vo7	233	17	(	(	PUNCT
cord-186927-b8i85vo7	233	18	i	i	NOUN
cord-186927-b8i85vo7	233	19	)	)	PUNCT
cord-186927-b8i85vo7	233	20	above	above	ADP
cord-186927-b8i85vo7	233	21	.	.	PUNCT
cord-186927-b8i85vo7	234	1	concerning	concern	VERB
cord-186927-b8i85vo7	234	2	the	the	DET
cord-186927-b8i85vo7	234	3	function	function	NOUN
cord-186927-b8i85vo7	234	4	u	u	NOUN
cord-186927-b8i85vo7	234	5	,	,	PUNCT
cord-186927-b8i85vo7	234	6	it	it	PRON
cord-186927-b8i85vo7	234	7	should	should	AUX
cord-186927-b8i85vo7	234	8	be	be	AUX
cord-186927-b8i85vo7	234	9	non	non	ADJ
cord-186927-b8i85vo7	234	10	-	-	ADJ
cord-186927-b8i85vo7	234	11	decreasing	decrease	VERB
cord-186927-b8i85vo7	234	12	in	in	ADP
cord-186927-b8i85vo7	234	13	the	the	DET
cord-186927-b8i85vo7	234	14	second	second	ADJ
cord-186927-b8i85vo7	234	15	variable	variable	NOUN
cord-186927-b8i85vo7	234	16	up	up	ADP
cord-186927-b8i85vo7	234	17	to	to	ADP
cord-186927-b8i85vo7	234	18	β	β	NOUN
cord-186927-b8i85vo7	234	19	,	,	PUNCT
cord-186927-b8i85vo7	234	20	and	and	CCONJ
cord-186927-b8i85vo7	234	21	then	then	ADV
cord-186927-b8i85vo7	234	22	non	non	ADJ
cord-186927-b8i85vo7	234	23	-	-	ADJ
cord-186927-b8i85vo7	234	24	increasing	increase	VERB
cord-186927-b8i85vo7	234	25	,	,	PUNCT
cord-186927-b8i85vo7	234	26	modelling	modelling	NOUN
cord-186927-b8i85vo7	234	27	(	(	PUNCT
cord-186927-b8i85vo7	234	28	ii	ii	PROPN
cord-186927-b8i85vo7	234	29	)	)	PUNCT
cord-186927-b8i85vo7	234	30	above	above	ADP
cord-186927-b8i85vo7	234	31	.	.	PUNCT
cord-186927-b8i85vo7	235	1	on	on	ADP
cord-186927-b8i85vo7	235	2	the	the	DET
cord-186927-b8i85vo7	235	3	other	other	ADJ
cord-186927-b8i85vo7	235	4	hand	hand	NOUN
cord-186927-b8i85vo7	235	5	,	,	PUNCT
cord-186927-b8i85vo7	235	6	the	the	DET
cord-186927-b8i85vo7	235	7	function	function	NOUN
cord-186927-b8i85vo7	235	8	u	u	PROPN
cord-186927-b8i85vo7	235	9	is	be	AUX
cord-186927-b8i85vo7	235	10	assumed	assume	VERB
cord-186927-b8i85vo7	235	11	to	to	PART
cord-186927-b8i85vo7	235	12	be	be	AUX
cord-186927-b8i85vo7	235	13	non	non	ADJ
cord-186927-b8i85vo7	235	14	-	-	ADJ
cord-186927-b8i85vo7	235	15	increasing	increase	VERB
cord-186927-b8i85vo7	235	16	with	with	ADP
cord-186927-b8i85vo7	235	17	respect	respect	NOUN
cord-186927-b8i85vo7	235	18	to	to	ADP
cord-186927-b8i85vo7	235	19	the	the	DET
cord-186927-b8i85vo7	235	20	proportion	proportion	NOUN
cord-186927-b8i85vo7	235	21	of	of	ADP
cord-186927-b8i85vo7	235	22	infected	infected	ADJ
cord-186927-b8i85vo7	235	23	individual	individual	NOUN
cord-186927-b8i85vo7	235	24	in	in	ADP
cord-186927-b8i85vo7	235	25	the	the	DET
cord-186927-b8i85vo7	235	26	population	population	NOUN
cord-186927-b8i85vo7	235	27	.	.	PUNCT
cord-186927-b8i85vo7	236	1	in	in	ADP
cord-186927-b8i85vo7	236	2	particular	particular	ADJ
cord-186927-b8i85vo7	236	3	,	,	PUNCT
cord-186927-b8i85vo7	236	4	this	this	PRON
cord-186927-b8i85vo7	236	5	allows	allow	VERB
cord-186927-b8i85vo7	236	6	to	to	PART
cord-186927-b8i85vo7	236	7	take	take	VERB
cord-186927-b8i85vo7	236	8	into	into	ADP
cord-186927-b8i85vo7	236	9	account	account	NOUN
cord-186927-b8i85vo7	236	10	both	both	DET
cord-186927-b8i85vo7	236	11	the	the	DET
cord-186927-b8i85vo7	236	12	fear	fear	NOUN
cord-186927-b8i85vo7	236	13	of	of	ADP
cord-186927-b8i85vo7	236	14	the	the	DET
cord-186927-b8i85vo7	236	15	infection	infection	NOUN
cord-186927-b8i85vo7	236	16	(	(	PUNCT
cord-186927-b8i85vo7	236	17	as	as	SCONJ
cord-186927-b8i85vo7	236	18	mentioned	mention	VERB
cord-186927-b8i85vo7	236	19	in	in	ADP
cord-186927-b8i85vo7	236	20	(	(	PUNCT
cord-186927-b8i85vo7	236	21	iii	iii	NUM
cord-186927-b8i85vo7	236	22	)	)	PUNCT
cord-186927-b8i85vo7	236	23	above	above	ADP
cord-186927-b8i85vo7	236	24	)	)	PUNCT
cord-186927-b8i85vo7	236	25	and	and	CCONJ
cord-186927-b8i85vo7	236	26	the	the	DET
cord-186927-b8i85vo7	236	27	cost	cost	NOUN
cord-186927-b8i85vo7	236	28	that	that	PRON
cord-186927-b8i85vo7	236	29	is	be	AUX
cord-186927-b8i85vo7	236	30	incurred	incur	VERB
cord-186927-b8i85vo7	236	31	if	if	SCONJ
cord-186927-b8i85vo7	236	32	an	an	DET
cord-186927-b8i85vo7	236	33	individual	individual	NOUN
cord-186927-b8i85vo7	236	34	is	be	AUX
cord-186927-b8i85vo7	236	35	infected	infect	VERB
cord-186927-b8i85vo7	236	36	.	.	PUNCT
cord-186927-b8i85vo7	237	1	from	from	ADP
cord-186927-b8i85vo7	237	2	the	the	DET
cord-186927-b8i85vo7	237	3	population	population	NOUN
cord-186927-b8i85vo7	237	4	's	's	PART
cord-186927-b8i85vo7	237	5	point	point	NOUN
cord-186927-b8i85vo7	237	6	of	of	ADP
cord-186927-b8i85vo7	237	7	view	view	NOUN
cord-186927-b8i85vo7	237	8	,	,	PUNCT
cord-186927-b8i85vo7	237	9	this	this	DET
cord-186927-b8i85vo7	237	10	cost	cost	NOUN
cord-186927-b8i85vo7	237	11	is	be	AUX
cord-186927-b8i85vo7	237	12	not	not	PART
cord-186927-b8i85vo7	237	13	actually	actually	ADV
cord-186927-b8i85vo7	237	14	expressed	express	VERB
cord-186927-b8i85vo7	237	15	in	in	ADP
cord-186927-b8i85vo7	237	16	terms	term	NOUN
cord-186927-b8i85vo7	237	17	of	of	ADP
cord-186927-b8i85vo7	237	18	money	money	NOUN
cord-186927-b8i85vo7	237	19	,	,	PUNCT
cord-186927-b8i85vo7	237	20	but	but	CCONJ
cord-186927-b8i85vo7	237	21	mainly	mainly	ADV
cord-186927-b8i85vo7	237	22	corresponds	correspond	VERB
cord-186927-b8i85vo7	237	23	to	to	ADP
cord-186927-b8i85vo7	237	24	medical	medical	ADJ
cord-186927-b8i85vo7	237	25	side	side	NOUN
cord-186927-b8i85vo7	237	26	effects	effect	NOUN
cord-186927-b8i85vo7	237	27	or	or	CCONJ
cord-186927-b8i85vo7	237	28	general	general	ADJ
cord-186927-b8i85vo7	237	29	morbidity	morbidity	NOUN
cord-186927-b8i85vo7	237	30	.	.	PUNCT
cord-186927-b8i85vo7	238	1	we	we	PRON
cord-186927-b8i85vo7	238	2	refer	refer	VERB
cord-186927-b8i85vo7	238	3	to	to	ADP
cord-186927-b8i85vo7	238	4	anand	anand	NOUN
cord-186927-b8i85vo7	238	5	and	and	CCONJ
cord-186927-b8i85vo7	238	6	hanson	hanson	NOUN
cord-186927-b8i85vo7	238	7	[	[	PUNCT
cord-186927-b8i85vo7	238	8	7	7	NUM
cord-186927-b8i85vo7	238	9	]	]	PUNCT
cord-186927-b8i85vo7	238	10	,	,	PUNCT
cord-186927-b8i85vo7	238	11	zeckhauser	zeckhauser	PROPN
cord-186927-b8i85vo7	238	12	and	and	CCONJ
cord-186927-b8i85vo7	238	13	shepard	shepard	PROPN
cord-186927-b8i85vo7	238	14	[	[	X
cord-186927-b8i85vo7	238	15	110	110	NUM
cord-186927-b8i85vo7	238	16	]	]	PUNCT
cord-186927-b8i85vo7	238	17	and	and	CCONJ
cord-186927-b8i85vo7	238	18	sassi	sassi	NOUN
cord-186927-b8i85vo7	239	1	[	[	X
cord-186927-b8i85vo7	239	2	94	94	NUM
cord-186927-b8i85vo7	239	3	]	]	PUNCT
cord-186927-b8i85vo7	239	4	,	,	PUNCT
cord-186927-b8i85vo7	239	5	for	for	ADP
cord-186927-b8i85vo7	239	6	an	an	DET
cord-186927-b8i85vo7	239	7	introduction	introduction	NOUN
cord-186927-b8i85vo7	239	8	to	to	ADP
cord-186927-b8i85vo7	239	9	qaly	qaly	PROPN
cord-186927-b8i85vo7	239	10	/	/	SYM
cord-186927-b8i85vo7	239	11	daly	daly	PROPN
cord-186927-b8i85vo7	239	12	(	(	PUNCT
cord-186927-b8i85vo7	239	13	quality	quality	NOUN
cord-186927-b8i85vo7	239	14	-	-	PUNCT
cord-186927-b8i85vo7	239	15	and	and	CCONJ
cord-186927-b8i85vo7	239	16	disability	disability	NOUN
cord-186927-b8i85vo7	239	17	-	-	PUNCT
cord-186927-b8i85vo7	239	18	adjusted	adjust	VERB
cord-186927-b8i85vo7	239	19	life	life	NOUN
cord-186927-b8i85vo7	239	20	-	-	PUNCT
cord-186927-b8i85vo7	239	21	year	year	NOUN
cord-186927-b8i85vo7	239	22	)	)	PUNCT
cord-186927-b8i85vo7	239	23	,	,	PUNCT
cord-186927-b8i85vo7	239	24	the	the	DET
cord-186927-b8i85vo7	239	25	generic	generic	ADJ
cord-186927-b8i85vo7	239	26	measures	measure	NOUN
cord-186927-b8i85vo7	239	27	of	of	ADP
cord-186927-b8i85vo7	239	28	disease	disease	NOUN
cord-186927-b8i85vo7	239	29	burden	burden	NOUN
cord-186927-b8i85vo7	239	30	used	use	VERB
cord-186927-b8i85vo7	239	31	in	in	ADP
cord-186927-b8i85vo7	239	32	economic	economic	ADJ
cord-186927-b8i85vo7	239	33	evaluation	evaluation	NOUN
cord-186927-b8i85vo7	239	34	to	to	PART
cord-186927-b8i85vo7	239	35	assess	assess	VERB
cord-186927-b8i85vo7	239	36	the	the	DET
cord-186927-b8i85vo7	239	37	value	value	NOUN
cord-186927-b8i85vo7	239	38	of	of	ADP
cord-186927-b8i85vo7	239	39	medical	medical	ADJ
cord-186927-b8i85vo7	239	40	interventions	intervention	NOUN
cord-186927-b8i85vo7	239	41	.	.	PUNCT
cord-186927-b8i85vo7	240	1	we	we	PRON
cord-186927-b8i85vo7	240	2	choose	choose	VERB
cord-186927-b8i85vo7	240	3	to	to	PART
cord-186927-b8i85vo7	240	4	normalise	normalise	VERB
cord-186927-b8i85vo7	240	5	the	the	DET
cord-186927-b8i85vo7	240	6	utility	utility	NOUN
cord-186927-b8i85vo7	240	7	of	of	ADP
cord-186927-b8i85vo7	240	8	the	the	DET
cord-186927-b8i85vo7	240	9	population	population	NOUN
cord-186927-b8i85vo7	240	10	to	to	ADP
cord-186927-b8i85vo7	240	11	zero	zero	NUM
cord-186927-b8i85vo7	240	12	when	when	SCONJ
cord-186927-b8i85vo7	240	13	there	there	PRON
cord-186927-b8i85vo7	240	14	is	be	VERB
cord-186927-b8i85vo7	240	15	no	no	DET
cord-186927-b8i85vo7	240	16	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	240	17	.	.	PUNCT
cord-186927-b8i85vo7	241	1	in	in	ADP
cord-186927-b8i85vo7	241	2	other	other	ADJ
cord-186927-b8i85vo7	241	3	words	word	NOUN
cord-186927-b8i85vo7	241	4	,	,	PUNCT
cord-186927-b8i85vo7	241	5	if	if	SCONJ
cord-186927-b8i85vo7	241	6	i	i	PRON
cord-186927-b8i85vo7	241	7	0	0	NUM
cord-186927-b8i85vo7	241	8	=	=	SYM
cord-186927-b8i85vo7	241	9	0	0	NUM
cord-186927-b8i85vo7	241	10	,	,	PUNCT
cord-186927-b8i85vo7	241	11	then	then	ADV
cord-186927-b8i85vo7	241	12	i	i	PRON
cord-186927-b8i85vo7	241	13	t	t	NOUN
cord-186927-b8i85vo7	241	14	=	=	NOUN
cord-186927-b8i85vo7	241	15	0	0	NUM
cord-186927-b8i85vo7	241	16	for	for	ADP
cord-186927-b8i85vo7	241	17	all	all	DET
cord-186927-b8i85vo7	241	18	t	t	NOUN
cord-186927-b8i85vo7	241	19	∈	∈	NOUN
cord-186927-b8i85vo7	241	20	[	[	X
cord-186927-b8i85vo7	241	21	0	0	NUM
cord-186927-b8i85vo7	241	22	,	,	PUNCT
cord-186927-b8i85vo7	241	23	t	t	NOUN
cord-186927-b8i85vo7	241	24	]	]	PUNCT
cord-186927-b8i85vo7	241	25	,	,	PUNCT
cord-186927-b8i85vo7	241	26	and	and	CCONJ
cord-186927-b8i85vo7	241	27	thus	thus	ADV
cord-186927-b8i85vo7	241	28	the	the	DET
cord-186927-b8i85vo7	241	29	utility	utility	NOUN
cord-186927-b8i85vo7	241	30	of	of	ADP
cord-186927-b8i85vo7	241	31	the	the	DET
cord-186927-b8i85vo7	241	32	population	population	NOUN
cord-186927-b8i85vo7	241	33	should	should	AUX
cord-186927-b8i85vo7	241	34	be	be	AUX
cord-186927-b8i85vo7	241	35	equal	equal	ADJ
cord-186927-b8i85vo7	241	36	to	to	ADP
cord-186927-b8i85vo7	241	37	0	0	NUM
cord-186927-b8i85vo7	241	38	.	.	PUNCT
cord-186927-b8i85vo7	242	1	with	with	ADP
cord-186927-b8i85vo7	242	2	this	this	PRON
cord-186927-b8i85vo7	242	3	in	in	ADP
cord-186927-b8i85vo7	242	4	mind	mind	NOUN
cord-186927-b8i85vo7	242	5	,	,	PUNCT
cord-186927-b8i85vo7	242	6	we	we	PRON
cord-186927-b8i85vo7	242	7	assume	assume	VERB
cord-186927-b8i85vo7	242	8	that	that	SCONJ
cord-186927-b8i85vo7	242	9	u	u	PROPN
cord-186927-b8i85vo7	242	10	(	(	PUNCT
cord-186927-b8i85vo7	242	11	0	0	NUM
cord-186927-b8i85vo7	242	12	)	)	PUNCT
cord-186927-b8i85vo7	242	13	=	=	NOUN
cord-186927-b8i85vo7	242	14	0	0	NUM
cord-186927-b8i85vo7	242	15	,	,	PUNCT
cord-186927-b8i85vo7	242	16	which	which	PRON
cord-186927-b8i85vo7	242	17	means	mean	VERB
cord-186927-b8i85vo7	242	18	that	that	SCONJ
cord-186927-b8i85vo7	242	19	without	without	ADP
cord-186927-b8i85vo7	242	20	a	a	DET
cord-186927-b8i85vo7	242	21	fine	fine	NOUN
cord-186927-b8i85vo7	242	22	,	,	PUNCT
cord-186927-b8i85vo7	242	23	the	the	DET
cord-186927-b8i85vo7	242	24	population	population	NOUN
cord-186927-b8i85vo7	242	25	does	do	AUX
cord-186927-b8i85vo7	242	26	not	not	PART
cord-186927-b8i85vo7	242	27	suffer	suffer	VERB
cord-186927-b8i85vo7	242	28	any	any	DET
cord-186927-b8i85vo7	242	29	disutility	disutility	NOUN
cord-186927-b8i85vo7	242	30	.	.	PUNCT
cord-186927-b8i85vo7	243	1	moreover	moreover	ADV
cord-186927-b8i85vo7	243	2	,	,	PUNCT
cord-186927-b8i85vo7	243	3	when	when	SCONJ
cord-186927-b8i85vo7	243	4	there	there	PRON
cord-186927-b8i85vo7	243	5	is	be	VERB
cord-186927-b8i85vo7	243	6	no	no	DET
cord-186927-b8i85vo7	243	7	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	243	8	,	,	PUNCT
cord-186927-b8i85vo7	243	9	the	the	DET
cord-186927-b8i85vo7	243	10	population	population	NOUN
cord-186927-b8i85vo7	243	11	should	should	AUX
cord-186927-b8i85vo7	243	12	not	not	PART
cord-186927-b8i85vo7	243	13	reduce	reduce	VERB
cord-186927-b8i85vo7	243	14	its	its	PRON
cord-186927-b8i85vo7	243	15	social	social	ADJ
cord-186927-b8i85vo7	243	16	interaction	interaction	NOUN
cord-186927-b8i85vo7	243	17	,	,	PUNCT
cord-186927-b8i85vo7	243	18	meaning	mean	VERB
cord-186927-b8i85vo7	243	19	that	that	SCONJ
cord-186927-b8i85vo7	243	20	for	for	ADP
cord-186927-b8i85vo7	243	21	all	all	DET
cord-186927-b8i85vo7	243	22	t	t	NOUN
cord-186927-b8i85vo7	243	23	∈	∈	NOUN
cord-186927-b8i85vo7	243	24	[	[	X
cord-186927-b8i85vo7	243	25	0	0	NUM
cord-186927-b8i85vo7	243	26	,	,	PUNCT
cord-186927-b8i85vo7	243	27	t	t	NOUN
cord-186927-b8i85vo7	243	28	]	]	PUNCT
cord-186927-b8i85vo7	243	29	,	,	PUNCT
cord-186927-b8i85vo7	243	30	β	β	PROPN
cord-186927-b8i85vo7	243	31	t	t	PROPN
cord-186927-b8i85vo7	243	32	=	=	PROPN
cord-186927-b8i85vo7	243	33	β	β	PROPN
cord-186927-b8i85vo7	243	34	.	.	PUNCT
cord-186927-b8i85vo7	244	1	this	this	PRON
cord-186927-b8i85vo7	244	2	leads	lead	VERB
cord-186927-b8i85vo7	244	3	us	we	PRON
cord-186927-b8i85vo7	244	4	to	to	PART
cord-186927-b8i85vo7	244	5	assume	assume	VERB
cord-186927-b8i85vo7	244	6	that	that	SCONJ
cord-186927-b8i85vo7	244	7	represents	represent	VERB
cord-186927-b8i85vo7	244	8	the	the	DET
cord-186927-b8i85vo7	244	9	social	social	ADJ
cord-186927-b8i85vo7	244	10	cost	cost	NOUN
cord-186927-b8i85vo7	244	11	of	of	ADP
cord-186927-b8i85vo7	244	12	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	244	13	policy	policy	NOUN
cord-186927-b8i85vo7	244	14	,	,	PUNCT
cord-186927-b8i85vo7	244	15	and	and	CCONJ
cord-186927-b8i85vo7	244	16	thus	thus	ADV
cord-186927-b8i85vo7	244	17	should	should	AUX
cord-186927-b8i85vo7	244	18	capture	capture	VERB
cord-186927-b8i85vo7	244	19	the	the	DET
cord-186927-b8i85vo7	244	20	two	two	NUM
cord-186927-b8i85vo7	244	21	rules	rule	NOUN
cord-186927-b8i85vo7	244	22	(	(	PUNCT
cord-186927-b8i85vo7	244	23	ii	ii	PROPN
cord-186927-b8i85vo7	244	24	)	)	PUNCT
cord-186927-b8i85vo7	244	25	and	and	CCONJ
cord-186927-b8i85vo7	244	26	(	(	PUNCT
cord-186927-b8i85vo7	244	27	iii	iii	NUM
cord-186927-b8i85vo7	244	28	)	)	PUNCT
cord-186927-b8i85vo7	244	29	,	,	PUNCT
cord-186927-b8i85vo7	244	30	as	as	ADV
cord-186927-b8i85vo7	244	31	well	well	ADV
cord-186927-b8i85vo7	244	32	as	as	ADP
cord-186927-b8i85vo7	244	33	satisfy	satisfy	VERB
cord-186927-b8i85vo7	244	34	u(t	u(t	PROPN
cord-186927-b8i85vo7	244	35	,	,	PUNCT
cord-186927-b8i85vo7	244	36	β	β	NOUN
cord-186927-b8i85vo7	244	37	,	,	PUNCT
cord-186927-b8i85vo7	244	38	0	0	NUM
cord-186927-b8i85vo7	244	39	)	)	PUNCT
cord-186927-b8i85vo7	244	40	=	=	NOUN
cord-186927-b8i85vo7	244	41	0	0	NUM
cord-186927-b8i85vo7	244	42	for	for	ADP
cord-186927-b8i85vo7	244	43	all	all	DET
cord-186927-b8i85vo7	244	44	t	t	NOUN
cord-186927-b8i85vo7	244	45	∈	∈	NOUN
cord-186927-b8i85vo7	244	46	[	[	X
cord-186927-b8i85vo7	244	47	0	0	NUM
cord-186927-b8i85vo7	244	48	,	,	PUNCT
cord-186927-b8i85vo7	244	49	t	t	NOUN
cord-186927-b8i85vo7	244	50	]	]	X
cord-186927-b8i85vo7	244	51	.	.	PUNCT
cord-186927-b8i85vo7	245	1	in	in	ADP
cord-186927-b8i85vo7	245	2	particular	particular	ADJ
cord-186927-b8i85vo7	245	3	,	,	PUNCT
cord-186927-b8i85vo7	245	4	we	we	PRON
cord-186927-b8i85vo7	245	5	could	could	AUX
cord-186927-b8i85vo7	245	6	consider	consider	VERB
cord-186927-b8i85vo7	245	7	a	a	DET
cord-186927-b8i85vo7	245	8	separable	separable	ADJ
cord-186927-b8i85vo7	245	9	utility	utility	NOUN
cord-186927-b8i85vo7	245	10	function	function	NOUN
cord-186927-b8i85vo7	245	11	u	u	PROPN
cord-186927-b8i85vo7	245	12	of	of	ADP
cord-186927-b8i85vo7	245	13	the	the	DET
cord-186927-b8i85vo7	245	14	form	form	NOUN
cord-186927-b8i85vo7	245	15	where	where	SCONJ
cord-186927-b8i85vo7	245	16	the	the	DET
cord-186927-b8i85vo7	245	17	function	function	NOUN
cord-186927-b8i85vo7	245	18	u	u	X
cord-186927-b8i85vo7	246	1	i	i	PRON
cord-186927-b8i85vo7	246	2	:	:	PUNCT
cord-186927-b8i85vo7	246	3	r	r	NOUN
cord-186927-b8i85vo7	246	4	+	+	CCONJ
cord-186927-b8i85vo7	246	5	−→	−→	NOUN
cord-186927-b8i85vo7	246	6	r	r	PROPN
cord-186927-b8i85vo7	246	7	represents	represent	VERB
cord-186927-b8i85vo7	246	8	the	the	DET
cord-186927-b8i85vo7	246	9	fear	fear	NOUN
cord-186927-b8i85vo7	246	10	of	of	ADP
cord-186927-b8i85vo7	246	11	the	the	DET
cord-186927-b8i85vo7	246	12	infection	infection	NOUN
cord-186927-b8i85vo7	246	13	for	for	ADP
cord-186927-b8i85vo7	246	14	the	the	DET
cord-186927-b8i85vo7	246	15	population	population	NOUN
cord-186927-b8i85vo7	246	16	.	.	PUNCT
cord-186927-b8i85vo7	247	1	in	in	ADP
cord-186927-b8i85vo7	247	2	order	order	NOUN
cord-186927-b8i85vo7	247	3	to	to	PART
cord-186927-b8i85vo7	247	4	choose	choose	VERB
cord-186927-b8i85vo7	247	5	this	this	DET
cord-186927-b8i85vo7	247	6	function	function	NOUN
cord-186927-b8i85vo7	247	7	,	,	PUNCT
cord-186927-b8i85vo7	247	8	we	we	PRON
cord-186927-b8i85vo7	247	9	would	would	AUX
cord-186927-b8i85vo7	247	10	like	like	INTJ
cord-186927-b8i85vo7	247	11	model	model	VERB
cord-186927-b8i85vo7	247	12	the	the	DET
cord-186927-b8i85vo7	247	13	fact	fact	NOUN
cord-186927-b8i85vo7	247	14	that	that	SCONJ
cord-186927-b8i85vo7	247	15	when	when	SCONJ
cord-186927-b8i85vo7	247	16	the	the	DET
cord-186927-b8i85vo7	247	17	proportion	proportion	NOUN
cord-186927-b8i85vo7	247	18	of	of	ADP
cord-186927-b8i85vo7	247	19	infected	infect	VERB
cord-186927-b8i85vo7	247	20	is	be	AUX
cord-186927-b8i85vo7	247	21	close	close	ADJ
cord-186927-b8i85vo7	247	22	to	to	ADP
cord-186927-b8i85vo7	247	23	0	0	NUM
cord-186927-b8i85vo7	247	24	,	,	PUNCT
cord-186927-b8i85vo7	247	25	the	the	DET
cord-186927-b8i85vo7	247	26	population	population	NOUN
cord-186927-b8i85vo7	247	27	underestimates	underestimate	VERB
cord-186927-b8i85vo7	247	28	the	the	DET
cord-186927-b8i85vo7	247	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	247	30	,	,	PUNCT
cord-186927-b8i85vo7	247	31	while	while	SCONJ
cord-186927-b8i85vo7	247	32	when	when	SCONJ
cord-186927-b8i85vo7	247	33	this	this	DET
cord-186927-b8i85vo7	247	34	proportion	proportion	NOUN
cord-186927-b8i85vo7	247	35	becomes	become	VERB
cord-186927-b8i85vo7	247	36	large	large	ADJ
cord-186927-b8i85vo7	247	37	,	,	PUNCT
cord-186927-b8i85vo7	247	38	the	the	DET
cord-186927-b8i85vo7	247	39	population	population	NOUN
cord-186927-b8i85vo7	247	40	becomes	become	VERB
cord-186927-b8i85vo7	247	41	irrationally	irrationally	ADV
cord-186927-b8i85vo7	247	42	afraid	afraid	ADJ
cord-186927-b8i85vo7	247	43	.	.	PUNCT
cord-186927-b8i85vo7	248	1	therefore	therefore	ADV
cord-186927-b8i85vo7	248	2	,	,	PUNCT
cord-186927-b8i85vo7	248	3	we	we	PRON
cord-186927-b8i85vo7	248	4	can	can	AUX
cord-186927-b8i85vo7	248	5	consider	consider	VERB
cord-186927-b8i85vo7	248	6	a	a	DET
cord-186927-b8i85vo7	248	7	function	function	NOUN
cord-186927-b8i85vo7	248	8	independent	independent	ADJ
cord-186927-b8i85vo7	248	9	of	of	ADP
cord-186927-b8i85vo7	248	10	t	t	PROPN
cord-186927-b8i85vo7	248	11	,	,	PUNCT
cord-186927-b8i85vo7	248	12	and	and	CCONJ
cord-186927-b8i85vo7	248	13	take	take	VERB
cord-186927-b8i85vo7	248	14	next	next	ADV
cord-186927-b8i85vo7	248	15	,	,	PUNCT
cord-186927-b8i85vo7	248	16	the	the	DET
cord-186927-b8i85vo7	248	17	function	function	NOUN
cord-186927-b8i85vo7	248	18	u	u	PROPN
cord-186927-b8i85vo7	248	19	β	β	X
cord-186927-b8i85vo7	248	20	represents	represent	VERB
cord-186927-b8i85vo7	248	21	the	the	DET
cord-186927-b8i85vo7	248	22	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	248	23	of	of	ADP
cord-186927-b8i85vo7	248	24	the	the	DET
cord-186927-b8i85vo7	248	25	population	population	NOUN
cord-186927-b8i85vo7	248	26	with	with	ADP
cord-186927-b8i85vo7	248	27	respect	respect	NOUN
cord-186927-b8i85vo7	248	28	to	to	ADP
cord-186927-b8i85vo7	248	29	the	the	DET
cord-186927-b8i85vo7	248	30	initial	initial	ADJ
cord-186927-b8i85vo7	248	31	transmission	transmission	NOUN
cord-186927-b8i85vo7	248	32	rate	rate	NOUN
cord-186927-b8i85vo7	248	33	β	β	NOUN
cord-186927-b8i85vo7	248	34	of	of	ADP
cord-186927-b8i85vo7	248	35	the	the	DET
cord-186927-b8i85vo7	248	36	disease	disease	NOUN
cord-186927-b8i85vo7	248	37	,	,	PUNCT
cord-186927-b8i85vo7	248	38	i.e.	i.e.	X
cord-186927-b8i85vo7	248	39	,	,	PUNCT
cord-186927-b8i85vo7	248	40	without	without	ADP
cord-186927-b8i85vo7	248	41	any	any	DET
cord-186927-b8i85vo7	248	42	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	248	43	measure	measure	NOUN
cord-186927-b8i85vo7	248	44	.	.	PUNCT
cord-186927-b8i85vo7	249	1	during	during	ADP
cord-186927-b8i85vo7	249	2	the	the	DET
cord-186927-b8i85vo7	249	3	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	249	4	period	period	NOUN
cord-186927-b8i85vo7	249	5	,	,	PUNCT
cord-186927-b8i85vo7	249	6	the	the	DET
cord-186927-b8i85vo7	249	7	social	social	ADJ
cord-186927-b8i85vo7	249	8	cost	cost	NOUN
cord-186927-b8i85vo7	249	9	of	of	ADP
cord-186927-b8i85vo7	249	10	distancing	distancing	NOUN
cord-186927-b8i85vo7	249	11	measures	measure	NOUN
cord-186927-b8i85vo7	249	12	becomes	become	VERB
cord-186927-b8i85vo7	249	13	more	more	ADV
cord-186927-b8i85vo7	249	14	and	and	CCONJ
cord-186927-b8i85vo7	249	15	more	more	ADV
cord-186927-b8i85vo7	249	16	important	important	ADJ
cord-186927-b8i85vo7	249	17	for	for	ADP
cord-186927-b8i85vo7	249	18	the	the	DET
cord-186927-b8i85vo7	249	19	population	population	NOUN
cord-186927-b8i85vo7	249	20	,	,	PUNCT
cord-186927-b8i85vo7	249	21	and	and	CCONJ
cord-186927-b8i85vo7	249	22	we	we	PRON
cord-186927-b8i85vo7	249	23	thus	thus	ADV
cord-186927-b8i85vo7	249	24	expect	expect	VERB
cord-186927-b8i85vo7	249	25	the	the	DET
cord-186927-b8i85vo7	249	26	cost	cost	NOUN
cord-186927-b8i85vo7	249	27	u	u	PRON
cord-186927-b8i85vo7	249	28	β	β	NOUN
cord-186927-b8i85vo7	249	29	to	to	PART
cord-186927-b8i85vo7	249	30	also	also	ADV
cord-186927-b8i85vo7	249	31	reflect	reflect	VERB
cord-186927-b8i85vo7	249	32	this	this	DET
cord-186927-b8i85vo7	249	33	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	249	34	with	with	ADP
cord-186927-b8i85vo7	249	35	respect	respect	NOUN
cord-186927-b8i85vo7	249	36	to	to	ADP
cord-186927-b8i85vo7	249	37	time	time	NOUN
cord-186927-b8i85vo7	249	38	.	.	PUNCT
cord-186927-b8i85vo7	250	1	more	more	ADV
cord-186927-b8i85vo7	250	2	precisely	precisely	ADV
cord-186927-b8i85vo7	250	3	,	,	PUNCT
cord-186927-b8i85vo7	250	4	we	we	PRON
cord-186927-b8i85vo7	250	5	can	can	AUX
cord-186927-b8i85vo7	250	6	consider	consider	VERB
cord-186927-b8i85vo7	250	7	two	two	NUM
cord-186927-b8i85vo7	250	8	particular	particular	ADJ
cord-186927-b8i85vo7	250	9	functions	function	NOUN
cord-186927-b8i85vo7	250	10	to	to	PART
cord-186927-b8i85vo7	250	11	model	model	VERB
cord-186927-b8i85vo7	250	12	these	these	DET
cord-186927-b8i85vo7	250	13	stylised	stylise	VERB
cord-186927-b8i85vo7	250	14	facts	fact	NOUN
cord-186927-b8i85vo7	250	15	for	for	ADP
cord-186927-b8i85vo7	250	16	some	some	DET
cord-186927-b8i85vo7	250	17	η	η	X
cord-186927-b8i85vo7	250	18	p	p	X
cord-186927-b8i85vo7	250	19	>	>	PUNCT
cord-186927-b8i85vo7	250	20	0	0	NUM
cord-186927-b8i85vo7	250	21	,	,	PUNCT
cord-186927-b8i85vo7	250	22	to	to	PART
cord-186927-b8i85vo7	250	23	insist	insist	VERB
cord-186927-b8i85vo7	250	24	on	on	ADP
cord-186927-b8i85vo7	250	25	the	the	DET
cord-186927-b8i85vo7	250	26	fact	fact	NOUN
cord-186927-b8i85vo7	250	27	that	that	SCONJ
cord-186927-b8i85vo7	250	28	it	it	PRON
cord-186927-b8i85vo7	250	29	is	be	AUX
cord-186927-b8i85vo7	250	30	costly	costly	ADJ
cord-186927-b8i85vo7	250	31	for	for	SCONJ
cord-186927-b8i85vo7	250	32	the	the	DET
cord-186927-b8i85vo7	250	33	population	population	NOUN
cord-186927-b8i85vo7	250	34	to	to	PART
cord-186927-b8i85vo7	250	35	deviate	deviate	VERB
cord-186927-b8i85vo7	250	36	from	from	ADP
cord-186927-b8i85vo7	250	37	its	its	PRON
cord-186927-b8i85vo7	250	38	usual	usual	ADJ
cord-186927-b8i85vo7	250	39	contact	contact	NOUN
cord-186927-b8i85vo7	250	40	rate	rate	NOUN
cord-186927-b8i85vo7	250	41	,	,	PUNCT
cord-186927-b8i85vo7	250	42	i.e.	i.e.	X
cord-186927-b8i85vo7	250	43	its	its	PRON
cord-186927-b8i85vo7	250	44	level	level	NOUN
cord-186927-b8i85vo7	250	45	of	of	ADP
cord-186927-b8i85vo7	250	46	interactions	interaction	NOUN
cord-186927-b8i85vo7	250	47	in	in	ADP
cord-186927-b8i85vo7	250	48	an	an	DET
cord-186927-b8i85vo7	250	49	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	250	50	-	-	PUNCT
cord-186927-b8i85vo7	250	51	free	free	ADJ
cord-186927-b8i85vo7	250	52	environment	environment	NOUN
cord-186927-b8i85vo7	250	53	,	,	PUNCT
cord-186927-b8i85vo7	250	54	inducing	induce	VERB
cord-186927-b8i85vo7	250	55	the	the	DET
cord-186927-b8i85vo7	250	56	natural	natural	ADJ
cord-186927-b8i85vo7	250	57	transmission	transmission	NOUN
cord-186927-b8i85vo7	250	58	rate	rate	NOUN
cord-186927-b8i85vo7	250	59	of	of	ADP
cord-186927-b8i85vo7	250	60	the	the	DET
cord-186927-b8i85vo7	250	61	disease	disease	NOUN
cord-186927-b8i85vo7	250	62	β	β	NUM
cord-186927-b8i85vo7	250	63	;	;	PUNCT
cord-186927-b8i85vo7	250	64	finally	finally	ADV
cord-186927-b8i85vo7	250	65	,	,	PUNCT
cord-186927-b8i85vo7	250	66	concerning	concern	VERB
cord-186927-b8i85vo7	250	67	the	the	DET
cord-186927-b8i85vo7	250	68	utility	utility	NOUN
cord-186927-b8i85vo7	250	69	of	of	ADP
cord-186927-b8i85vo7	250	70	the	the	DET
cord-186927-b8i85vo7	250	71	agent	agent	NOUN
cord-186927-b8i85vo7	250	72	with	with	ADP
cord-186927-b8i85vo7	250	73	respect	respect	NOUN
cord-186927-b8i85vo7	250	74	to	to	ADP
cord-186927-b8i85vo7	250	75	the	the	DET
cord-186927-b8i85vo7	250	76	tax	tax	NOUN
cord-186927-b8i85vo7	250	77	χ	χ	X
cord-186927-b8i85vo7	250	78	,	,	PUNCT
cord-186927-b8i85vo7	250	79	we	we	PRON
cord-186927-b8i85vo7	250	80	choose	choose	VERB
cord-186927-b8i85vo7	250	81	a	a	DET
cord-186927-b8i85vo7	250	82	mixed	mixed	ADJ
cord-186927-b8i85vo7	250	83	cara	cara	NOUN
cord-186927-b8i85vo7	250	84	-	-	PUNCT
cord-186927-b8i85vo7	250	85	risk	risk	NOUN
cord-186927-b8i85vo7	250	86	-	-	PUNCT
cord-186927-b8i85vo7	250	87	neutral	neutral	ADJ
cord-186927-b8i85vo7	250	88	utility	utility	NOUN
cord-186927-b8i85vo7	250	89	function	function	NOUN
cord-186927-b8i85vo7	250	90	where	where	SCONJ
cord-186927-b8i85vo7	250	91	θ	θ	X
cord-186927-b8i85vo7	250	92	p	p	X
cord-186927-b8i85vo7	250	93	>	>	X
cord-186927-b8i85vo7	250	94	0	0	NUM
cord-186927-b8i85vo7	250	95	is	be	AUX
cord-186927-b8i85vo7	250	96	the	the	DET
cord-186927-b8i85vo7	250	97	risk	risk	NOUN
cord-186927-b8i85vo7	250	98	-	-	PUNCT
cord-186927-b8i85vo7	250	99	aversion	aversion	NOUN
cord-186927-b8i85vo7	250	100	of	of	ADP
cord-186927-b8i85vo7	250	101	the	the	DET
cord-186927-b8i85vo7	250	102	population	population	NOUN
cord-186927-b8i85vo7	250	103	,	,	PUNCT
cord-186927-b8i85vo7	250	104	and	and	CCONJ
cord-186927-b8i85vo7	250	105	φ	φ	NOUN
cord-186927-b8i85vo7	250	106	p	p	X
cord-186927-b8i85vo7	250	107	>	>	PUNCT
cord-186927-b8i85vo7	250	108	0	0	NUM
cord-186927-b8i85vo7	250	109	,	,	PUNCT
cord-186927-b8i85vo7	250	110	so	so	SCONJ
cord-186927-b8i85vo7	250	111	that	that	SCONJ
cord-186927-b8i85vo7	250	112	u	u	PROPN
cord-186927-b8i85vo7	250	113	(	(	PUNCT
cord-186927-b8i85vo7	250	114	0	0	NUM
cord-186927-b8i85vo7	250	115	)	)	PUNCT
cord-186927-b8i85vo7	250	116	=	=	NOUN
cord-186927-b8i85vo7	250	117	0	0	NUM
cord-186927-b8i85vo7	250	118	,	,	PUNCT
cord-186927-b8i85vo7	250	119	and	and	CCONJ
cord-186927-b8i85vo7	250	120	u	u	PRON
cord-186927-b8i85vo7	250	121	is	be	AUX
cord-186927-b8i85vo7	250	122	an	an	DET
cord-186927-b8i85vo7	250	123	increasing	increase	VERB
cord-186927-b8i85vo7	250	124	and	and	CCONJ
cord-186927-b8i85vo7	250	125	strictly	strictly	ADV
cord-186927-b8i85vo7	250	126	concave	concave	ADJ
cord-186927-b8i85vo7	250	127	bijection	bijection	NOUN
cord-186927-b8i85vo7	250	128	from	from	ADP
cord-186927-b8i85vo7	250	129	r	r	NOUN
cord-186927-b8i85vo7	250	130	to	to	ADP
cord-186927-b8i85vo7	250	131	r.	r.	PROPN
cord-186927-b8i85vo7	250	132	for	for	ADP
cord-186927-b8i85vo7	250	133	later	later	ADJ
cord-186927-b8i85vo7	250	134	use	use	NOUN
cord-186927-b8i85vo7	250	135	,	,	PUNCT
cord-186927-b8i85vo7	250	136	we	we	PRON
cord-186927-b8i85vo7	250	137	record	record	VERB
cord-186927-b8i85vo7	250	138	that	that	SCONJ
cord-186927-b8i85vo7	250	139	the	the	DET
cord-186927-b8i85vo7	250	140	inverse	inverse	NOUN
cord-186927-b8i85vo7	250	141	of	of	ADP
cord-186927-b8i85vo7	250	142	u	u	PROPN
cord-186927-b8i85vo7	250	143	,	,	PUNCT
cord-186927-b8i85vo7	250	144	denoted	denote	VERB
cord-186927-b8i85vo7	250	145	by	by	ADP
cord-186927-b8i85vo7	250	146	u	u	PROPN
cord-186927-b8i85vo7	250	147	(	(	PUNCT
cord-186927-b8i85vo7	250	148	−1	−1	NOUN
cord-186927-b8i85vo7	250	149	)	)	PUNCT
cord-186927-b8i85vo7	250	150	,	,	PUNCT
cord-186927-b8i85vo7	250	151	has	have	VERB
cord-186927-b8i85vo7	250	152	an	an	DET
cord-186927-b8i85vo7	250	153	explicit	explicit	ADJ
cord-186927-b8i85vo7	250	154	form	form	NOUN
cord-186927-b8i85vo7	250	155	(	(	PUNCT
cord-186927-b8i85vo7	250	156	see	see	VERB
cord-186927-b8i85vo7	250	157	corless	corless	NOUN
cord-186927-b8i85vo7	250	158	,	,	PUNCT
cord-186927-b8i85vo7	250	159	gonnet	gonnet	NOUN
cord-186927-b8i85vo7	250	160	,	,	PUNCT
cord-186927-b8i85vo7	250	161	hare	hare	PROPN
cord-186927-b8i85vo7	250	162	,	,	PUNCT
cord-186927-b8i85vo7	250	163	jeffrey	jeffrey	PROPN
cord-186927-b8i85vo7	250	164	,	,	PUNCT
cord-186927-b8i85vo7	250	165	and	and	CCONJ
cord-186927-b8i85vo7	250	166	knuth	knuth	PROPN
cord-186927-b8i85vo7	250	167	[	[	PUNCT
cord-186927-b8i85vo7	250	168	25	25	NUM
cord-186927-b8i85vo7	250	169	]	]	PUNCT
cord-186927-b8i85vo7	250	170	for	for	ADP
cord-186927-b8i85vo7	250	171	more	more	ADJ
cord-186927-b8i85vo7	250	172	details	detail	NOUN
cord-186927-b8i85vo7	250	173	about	about	ADP
cord-186927-b8i85vo7	250	174	the	the	DET
cord-186927-b8i85vo7	250	175	lambertw	lambertw	NOUN
cord-186927-b8i85vo7	250	176	function	function	NOUN
cord-186927-b8i85vo7	250	177	)	)	PUNCT
cord-186927-b8i85vo7	250	178	before	before	ADP
cord-186927-b8i85vo7	250	179	turning	turn	VERB
cord-186927-b8i85vo7	250	180	to	to	ADP
cord-186927-b8i85vo7	250	181	the	the	DET
cord-186927-b8i85vo7	250	182	principal	principal	ADJ
cord-186927-b8i85vo7	250	183	-	-	PUNCT
cord-186927-b8i85vo7	250	184	agent	agent	NOUN
cord-186927-b8i85vo7	250	185	problem	problem	NOUN
cord-186927-b8i85vo7	250	186	itself	itself	PRON
cord-186927-b8i85vo7	250	187	,	,	PUNCT
cord-186927-b8i85vo7	250	188	we	we	PRON
cord-186927-b8i85vo7	250	189	aim	aim	VERB
cord-186927-b8i85vo7	250	190	at	at	ADP
cord-186927-b8i85vo7	250	191	solving	solve	VERB
cord-186927-b8i85vo7	250	192	(	(	PUNCT
cord-186927-b8i85vo7	250	193	4.7	4.7	NUM
cord-186927-b8i85vo7	250	194	)	)	PUNCT
cord-186927-b8i85vo7	250	195	for	for	ADP
cord-186927-b8i85vo7	250	196	α	α	X
cord-186927-b8i85vo7	250	197	=	=	SYM
cord-186927-b8i85vo7	250	198	1	1	NUM
cord-186927-b8i85vo7	250	199	fixed	fix	VERB
cord-186927-b8i85vo7	250	200	,	,	PUNCT
cord-186927-b8i85vo7	250	201	and	and	CCONJ
cord-186927-b8i85vo7	250	202	χ	χ	NUM
cord-186927-b8i85vo7	250	203	=	=	NOUN
cord-186927-b8i85vo7	250	204	0	0	NUM
cord-186927-b8i85vo7	250	205	,	,	PUNCT
cord-186927-b8i85vo7	250	206	i.e.	i.e.	X
cord-186927-b8i85vo7	250	207	without	without	ADP
cord-186927-b8i85vo7	250	208	tax	tax	NOUN
cord-186927-b8i85vo7	250	209	and	and	CCONJ
cord-186927-b8i85vo7	250	210	testing	testing	NOUN
cord-186927-b8i85vo7	250	211	policy	policy	NOUN
cord-186927-b8i85vo7	250	212	.	.	PUNCT
cord-186927-b8i85vo7	251	1	similar	similar	ADJ
cord-186927-b8i85vo7	251	2	problems	problem	NOUN
cord-186927-b8i85vo7	251	3	have	have	AUX
cord-186927-b8i85vo7	251	4	been	be	AUX
cord-186927-b8i85vo7	251	5	studied	study	VERB
cord-186927-b8i85vo7	251	6	in	in	ADP
cord-186927-b8i85vo7	251	7	for	for	ADP
cord-186927-b8i85vo7	251	8	instance	instance	NOUN
cord-186927-b8i85vo7	251	9	kandhway	kandhway	PROPN
cord-186927-b8i85vo7	251	10	and	and	CCONJ
cord-186927-b8i85vo7	251	11	kuri	kuri	PROPN
cord-186927-b8i85vo7	251	12	[	[	PUNCT
cord-186927-b8i85vo7	251	13	61	61	NUM
cord-186927-b8i85vo7	251	14	]	]	PUNCT
cord-186927-b8i85vo7	251	15	.	.	PUNCT
cord-186927-b8i85vo7	252	1	mathematically	mathematically	ADV
cord-186927-b8i85vo7	252	2	speaking	speak	VERB
cord-186927-b8i85vo7	252	3	,	,	PUNCT
cord-186927-b8i85vo7	252	4	the	the	DET
cord-186927-b8i85vo7	252	5	optimisation	optimisation	NOUN
cord-186927-b8i85vo7	252	6	problem	problem	NOUN
cord-186927-b8i85vo7	252	7	faced	face	VERB
cord-186927-b8i85vo7	252	8	by	by	ADP
cord-186927-b8i85vo7	252	9	the	the	DET
cord-186927-b8i85vo7	252	10	population	population	NOUN
cord-186927-b8i85vo7	252	11	without	without	ADP
cord-186927-b8i85vo7	252	12	contract	contract	NOUN
cord-186927-b8i85vo7	252	13	is	be	AUX
cord-186927-b8i85vo7	252	14	informally	informally	ADV
cord-186927-b8i85vo7	252	15	given	give	VERB
cord-186927-b8i85vo7	252	16	by	by	ADP
cord-186927-b8i85vo7	252	17	since	since	SCONJ
cord-186927-b8i85vo7	252	18	we	we	PRON
cord-186927-b8i85vo7	252	19	assumed	assume	VERB
cord-186927-b8i85vo7	252	20	u	u	PROPN
cord-186927-b8i85vo7	252	21	(	(	PUNCT
cord-186927-b8i85vo7	252	22	0	0	NUM
cord-186927-b8i85vo7	252	23	)	)	PUNCT
cord-186927-b8i85vo7	252	24	=	=	SYM
cord-186927-b8i85vo7	252	25	0	0	X
cord-186927-b8i85vo7	252	26	.	.	PUNCT
cord-186927-b8i85vo7	253	1	notice	notice	VERB
cord-186927-b8i85vo7	253	2	that	that	SCONJ
cord-186927-b8i85vo7	253	3	by	by	ADP
cord-186927-b8i85vo7	253	4	assumption	assumption	NOUN
cord-186927-b8i85vo7	253	5	on	on	ADP
cord-186927-b8i85vo7	253	6	the	the	DET
cord-186927-b8i85vo7	253	7	function	function	NOUN
cord-186927-b8i85vo7	253	8	u	u	PROPN
cord-186927-b8i85vo7	253	9	,	,	PUNCT
cord-186927-b8i85vo7	253	10	in	in	ADP
cord-186927-b8i85vo7	253	11	the	the	DET
cord-186927-b8i85vo7	253	12	no	no	DET
cord-186927-b8i85vo7	253	13	-	-	PUNCT
cord-186927-b8i85vo7	253	14	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	253	15	case	case	NOUN
cord-186927-b8i85vo7	253	16	,	,	PUNCT
cord-186927-b8i85vo7	253	17	i.e.	i.e.	X
cord-186927-b8i85vo7	253	18	,	,	PUNCT
cord-186927-b8i85vo7	253	19	if	if	SCONJ
cord-186927-b8i85vo7	253	20	i	i	PRON
cord-186927-b8i85vo7	253	21	0	0	NUM
cord-186927-b8i85vo7	253	22	=	=	SYM
cord-186927-b8i85vo7	253	23	0	0	NUM
cord-186927-b8i85vo7	253	24	,	,	PUNCT
cord-186927-b8i85vo7	253	25	the	the	DET
cord-186927-b8i85vo7	253	26	population	population	NOUN
cord-186927-b8i85vo7	253	27	should	should	AUX
cord-186927-b8i85vo7	253	28	not	not	PART
cord-186927-b8i85vo7	253	29	make	make	VERB
cord-186927-b8i85vo7	253	30	any	any	DET
cord-186927-b8i85vo7	253	31	effort	effort	NOUN
cord-186927-b8i85vo7	253	32	,	,	PUNCT
cord-186927-b8i85vo7	253	33	and	and	CCONJ
cord-186927-b8i85vo7	253	34	therefore	therefore	ADV
cord-186927-b8i85vo7	253	35	the	the	DET
cord-186927-b8i85vo7	253	36	optimal	optimal	ADJ
cord-186927-b8i85vo7	253	37	contact	contact	NOUN
cord-186927-b8i85vo7	253	38	rate	rate	NOUN
cord-186927-b8i85vo7	253	39	β	β	NOUN
cord-186927-b8i85vo7	253	40	over	over	ADP
cord-186927-b8i85vo7	253	41	the	the	DET
cord-186927-b8i85vo7	253	42	period	period	NOUN
cord-186927-b8i85vo7	253	43	[	[	NOUN
cord-186927-b8i85vo7	253	44	0	0	NUM
cord-186927-b8i85vo7	253	45	,	,	PUNCT
cord-186927-b8i85vo7	253	46	t	t	NOUN
cord-186927-b8i85vo7	253	47	]	]	PUNCT
cord-186927-b8i85vo7	253	48	is	be	AUX
cord-186927-b8i85vo7	253	49	equal	equal	ADJ
cord-186927-b8i85vo7	253	50	to	to	ADP
cord-186927-b8i85vo7	253	51	β	β	NOUN
cord-186927-b8i85vo7	253	52	.	.	PUNCT
cord-186927-b8i85vo7	254	1	we	we	PRON
cord-186927-b8i85vo7	254	2	thus	thus	ADV
cord-186927-b8i85vo7	254	3	consider	consider	VERB
cord-186927-b8i85vo7	254	4	in	in	ADP
cord-186927-b8i85vo7	254	5	the	the	DET
cord-186927-b8i85vo7	254	6	following	follow	VERB
cord-186927-b8i85vo7	254	7	a	a	DET
cord-186927-b8i85vo7	254	8	fixed	fix	VERB
cord-186927-b8i85vo7	254	9	initial	initial	ADJ
cord-186927-b8i85vo7	254	10	condition	condition	NOUN
cord-186927-b8i85vo7	254	11	(	(	PUNCT
cord-186927-b8i85vo7	254	12	s	s	PROPN
cord-186927-b8i85vo7	254	13	0	0	NUM
cord-186927-b8i85vo7	254	14	,	,	PUNCT
cord-186927-b8i85vo7	254	15	i	i	PRON
cord-186927-b8i85vo7	254	16	0	0	PUNCT
cord-186927-b8i85vo7	254	17	)	)	PUNCT
cord-186927-b8i85vo7	254	18	∈	∈	NOUN
cord-186927-b8i85vo7	255	1	(	(	PUNCT
cord-186927-b8i85vo7	255	2	r	r	NOUN
cord-186927-b8i85vo7	255	3	+	+	PUNCT
cord-186927-b8i85vo7	255	4	)	)	PUNCT
cord-186927-b8i85vo7	255	5	2	2	NUM
cord-186927-b8i85vo7	255	6	,	,	PUNCT
cord-186927-b8i85vo7	255	7	which	which	PRON
cord-186927-b8i85vo7	255	8	implies	imply	VERB
cord-186927-b8i85vo7	255	9	that	that	SCONJ
cord-186927-b8i85vo7	255	10	for	for	ADP
cord-186927-b8i85vo7	255	11	all	all	DET
cord-186927-b8i85vo7	255	12	t	t	NOUN
cord-186927-b8i85vo7	255	13	∈	∈	NOUN
cord-186927-b8i85vo7	255	14	[	[	X
cord-186927-b8i85vo7	255	15	0	0	NUM
cord-186927-b8i85vo7	255	16	,	,	PUNCT
cord-186927-b8i85vo7	255	17	t	t	NOUN
cord-186927-b8i85vo7	255	18	]	]	PUNCT
cord-186927-b8i85vo7	255	19	,	,	PUNCT
cord-186927-b8i85vo7	255	20	both	both	PRON
cord-186927-b8i85vo7	255	21	s	s	VERB
cord-186927-b8i85vo7	255	22	t	t	PROPN
cord-186927-b8i85vo7	256	1	and	and	CCONJ
cord-186927-b8i85vo7	256	2	i	i	PRON
cord-186927-b8i85vo7	256	3	t	t	NOUN
cord-186927-b8i85vo7	256	4	are	be	AUX
cord-186927-b8i85vo7	256	5	(	(	PUNCT
cord-186927-b8i85vo7	256	6	strictly	strictly	ADV
cord-186927-b8i85vo7	256	7	)	)	PUNCT
cord-186927-b8i85vo7	256	8	positive	positive	ADJ
cord-186927-b8i85vo7	256	9	.	.	PUNCT
cord-186927-b8i85vo7	257	1	without	without	ADP
cord-186927-b8i85vo7	257	2	tax	tax	NOUN
cord-186927-b8i85vo7	257	3	,	,	PUNCT
cord-186927-b8i85vo7	257	4	the	the	DET
cord-186927-b8i85vo7	257	5	population	population	NOUN
cord-186927-b8i85vo7	257	6	's	's	PART
cord-186927-b8i85vo7	257	7	problem	problem	NOUN
cord-186927-b8i85vo7	257	8	boils	boil	VERB
cord-186927-b8i85vo7	257	9	down	down	ADP
cord-186927-b8i85vo7	257	10	to	to	ADP
cord-186927-b8i85vo7	257	11	a	a	DET
cord-186927-b8i85vo7	257	12	standard	standard	ADJ
cord-186927-b8i85vo7	257	13	control	control	NOUN
cord-186927-b8i85vo7	257	14	problem	problem	NOUN
cord-186927-b8i85vo7	257	15	,	,	PUNCT
cord-186927-b8i85vo7	257	16	with	with	ADP
cord-186927-b8i85vo7	257	17	two	two	NUM
cord-186927-b8i85vo7	257	18	state	state	NOUN
cord-186927-b8i85vo7	257	19	variables	variable	NOUN
cord-186927-b8i85vo7	257	20	s	s	PROPN
cord-186927-b8i85vo7	257	21	and	and	CCONJ
cord-186927-b8i85vo7	257	22	i.	i.	PROPN
cord-186927-b8i85vo7	257	23	we	we	PRON
cord-186927-b8i85vo7	257	24	will	will	AUX
cord-186927-b8i85vo7	257	25	give	give	VERB
cord-186927-b8i85vo7	257	26	the	the	DET
cord-186927-b8i85vo7	257	27	associated	associated	ADJ
cord-186927-b8i85vo7	257	28	pde	pde	NOUN
cord-186927-b8i85vo7	257	29	in	in	ADP
cord-186927-b8i85vo7	257	30	section	section	NOUN
cord-186927-b8i85vo7	257	31	2.4.1	2.4.1	NUM
cord-186927-b8i85vo7	257	32	below	below	ADV
cord-186927-b8i85vo7	257	33	.	.	PUNCT
cord-186927-b8i85vo7	258	1	one	one	NUM
cord-186927-b8i85vo7	258	2	of	of	ADP
cord-186927-b8i85vo7	258	3	the	the	DET
cord-186927-b8i85vo7	258	4	main	main	ADJ
cord-186927-b8i85vo7	258	5	theoretical	theoretical	ADJ
cord-186927-b8i85vo7	258	6	result	result	NOUN
cord-186927-b8i85vo7	258	7	of	of	ADP
cord-186927-b8i85vo7	258	8	our	our	PRON
cord-186927-b8i85vo7	258	9	study	study	NOUN
cord-186927-b8i85vo7	258	10	is	be	AUX
cord-186927-b8i85vo7	258	11	given	give	VERB
cord-186927-b8i85vo7	258	12	by	by	ADP
cord-186927-b8i85vo7	258	13	theorem	theorem	NOUN
cord-186927-b8i85vo7	258	14	4.7	4.7	NUM
cord-186927-b8i85vo7	258	15	.	.	PUNCT
cord-186927-b8i85vo7	259	1	informally	informally	ADV
cord-186927-b8i85vo7	259	2	,	,	PUNCT
cord-186927-b8i85vo7	259	3	this	this	DET
cord-186927-b8i85vo7	259	4	theorem	theorem	NOUN
cord-186927-b8i85vo7	259	5	states	state	VERB
cord-186927-b8i85vo7	259	6	that	that	SCONJ
cord-186927-b8i85vo7	259	7	given	give	VERB
cord-186927-b8i85vo7	259	8	an	an	DET
cord-186927-b8i85vo7	259	9	admissible	admissible	ADJ
cord-186927-b8i85vo7	259	10	contract	contract	NOUN
cord-186927-b8i85vo7	259	11	,	,	PUNCT
cord-186927-b8i85vo7	259	12	namely	namely	ADV
cord-186927-b8i85vo7	259	13	a	a	DET
cord-186927-b8i85vo7	259	14	testing	testing	NOUN
cord-186927-b8i85vo7	259	15	policy	policy	NOUN
cord-186927-b8i85vo7	259	16	α	α	X
cord-186927-b8i85vo7	259	17	∈	∈	PROPN
cord-186927-b8i85vo7	259	18	a	a	PRON
cord-186927-b8i85vo7	259	19	and	and	CCONJ
cord-186927-b8i85vo7	259	20	a	a	DET
cord-186927-b8i85vo7	259	21	tax	tax	NOUN
cord-186927-b8i85vo7	259	22	χ	χ	X
cord-186927-b8i85vo7	259	23	∈	∈	PROPN
cord-186927-b8i85vo7	259	24	c	c	NOUN
cord-186927-b8i85vo7	259	25	,	,	PUNCT
cord-186927-b8i85vo7	259	26	there	there	PRON
cord-186927-b8i85vo7	259	27	exist	exist	VERB
cord-186927-b8i85vo7	259	28	a	a	DET
cord-186927-b8i85vo7	259	29	unique	unique	ADJ
cord-186927-b8i85vo7	259	30	y	y	PROPN
cord-186927-b8i85vo7	259	31	0	0	PUNCT
cord-186927-b8i85vo7	259	32	and	and	CCONJ
cord-186927-b8i85vo7	259	33	z	z	NOUN
cord-186927-b8i85vo7	259	34	such	such	ADJ
cord-186927-b8i85vo7	259	35	that	that	SCONJ
cord-186927-b8i85vo7	259	36	the	the	DET
cord-186927-b8i85vo7	259	37	following	follow	VERB
cord-186927-b8i85vo7	259	38	representation	representation	NOUN
cord-186927-b8i85vo7	259	39	holds	hold	VERB
cord-186927-b8i85vo7	259	40	where	where	SCONJ
cord-186927-b8i85vo7	259	41	β	β	NOUN
cord-186927-b8i85vo7	259	42	is	be	AUX
cord-186927-b8i85vo7	259	43	the	the	DET
cord-186927-b8i85vo7	259	44	unique	unique	ADJ
cord-186927-b8i85vo7	259	45	optimal	optimal	ADJ
cord-186927-b8i85vo7	259	46	contact	contact	NOUN
cord-186927-b8i85vo7	259	47	rate	rate	NOUN
cord-186927-b8i85vo7	259	48	for	for	ADP
cord-186927-b8i85vo7	259	49	the	the	DET
cord-186927-b8i85vo7	259	50	population	population	NOUN
cord-186927-b8i85vo7	259	51	.	.	PUNCT
cord-186927-b8i85vo7	260	1	more	more	ADV
cord-186927-b8i85vo7	260	2	precisely	precisely	ADV
cord-186927-b8i85vo7	260	3	,	,	PUNCT
cord-186927-b8i85vo7	260	4	we	we	PRON
cord-186927-b8i85vo7	260	5	can	can	AUX
cord-186927-b8i85vo7	260	6	state	state	VERB
cord-186927-b8i85vo7	260	7	that	that	PRON
cord-186927-b8i85vo7	260	8	for	for	ADP
cord-186927-b8i85vo7	260	9	(	(	PUNCT
cord-186927-b8i85vo7	260	10	lebesgue	lebesgue	NOUN
cord-186927-b8i85vo7	260	11	-	-	PUNCT
cord-186927-b8i85vo7	260	12	almost	almost	ADV
cord-186927-b8i85vo7	260	13	under	under	ADP
cord-186927-b8i85vo7	260	14	some	some	DET
cord-186927-b8i85vo7	260	15	assumptions	assumption	NOUN
cord-186927-b8i85vo7	260	16	for	for	ADP
cord-186927-b8i85vo7	260	17	existence	existence	NOUN
cord-186927-b8i85vo7	260	18	and	and	CCONJ
cord-186927-b8i85vo7	260	19	smoothness	smoothness	NOUN
cord-186927-b8i85vo7	260	20	of	of	ADP
cord-186927-b8i85vo7	260	21	the	the	DET
cord-186927-b8i85vo7	260	22	inverse	inverse	NOUN
cord-186927-b8i85vo7	260	23	of	of	ADP
cord-186927-b8i85vo7	260	24	the	the	DET
cord-186927-b8i85vo7	260	25	function	function	NOUN
cord-186927-b8i85vo7	260	26	u	u	PROPN
cord-186927-b8i85vo7	260	27	,	,	PUNCT
cord-186927-b8i85vo7	260	28	the	the	DET
cord-186927-b8i85vo7	260	29	previous	previous	ADJ
cord-186927-b8i85vo7	260	30	equation	equation	NOUN
cord-186927-b8i85vo7	260	31	gives	give	VERB
cord-186927-b8i85vo7	260	32	a	a	DET
cord-186927-b8i85vo7	260	33	representation	representation	NOUN
cord-186927-b8i85vo7	260	34	for	for	ADP
cord-186927-b8i85vo7	260	35	the	the	DET
cord-186927-b8i85vo7	260	36	tax	tax	NOUN
cord-186927-b8i85vo7	260	37	χ	χ	X
cord-186927-b8i85vo7	260	38	.	.	PUNCT
cord-186927-b8i85vo7	261	1	based	base	VERB
cord-186927-b8i85vo7	261	2	on	on	ADP
cord-186927-b8i85vo7	261	3	(	(	PUNCT
cord-186927-b8i85vo7	261	4	2.10	2.10	NUM
cord-186927-b8i85vo7	261	5	)	)	PUNCT
cord-186927-b8i85vo7	261	6	,	,	PUNCT
cord-186927-b8i85vo7	261	7	the	the	DET
cord-186927-b8i85vo7	261	8	tax	tax	NOUN
cord-186927-b8i85vo7	261	9	χ	χ	PROPN
cord-186927-b8i85vo7	261	10	will	will	AUX
cord-186927-b8i85vo7	261	11	be	be	AUX
cord-186927-b8i85vo7	261	12	indexed	index	VERB
cord-186927-b8i85vo7	261	13	on	on	ADP
cord-186927-b8i85vo7	261	14	the	the	DET
cord-186927-b8i85vo7	261	15	variation	variation	NOUN
cord-186927-b8i85vo7	261	16	of	of	ADP
cord-186927-b8i85vo7	261	17	the	the	DET
cord-186927-b8i85vo7	261	18	proportion	proportion	NOUN
cord-186927-b8i85vo7	261	19	of	of	ADP
cord-186927-b8i85vo7	261	20	infected	infected	PROPN
cord-186927-b8i85vo7	261	21	i	i	PROPN
cord-186927-b8i85vo7	261	22	,	,	PUNCT
cord-186927-b8i85vo7	261	23	through	through	ADP
cord-186927-b8i85vo7	261	24	the	the	DET
cord-186927-b8i85vo7	261	25	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	261	26	integral	integral	ADJ
cord-186927-b8i85vo7	261	27	·	·	PUNCT
cord-186927-b8i85vo7	261	28	0	0	PUNCT
cord-186927-b8i85vo7	261	29	z	z	PROPN
cord-186927-b8i85vo7	261	30	s	s	PROPN
cord-186927-b8i85vo7	261	31	di	di	X
cord-186927-b8i85vo7	261	32	s	s	PROPN
cord-186927-b8i85vo7	261	33	,	,	PUNCT
cord-186927-b8i85vo7	261	34	and	and	CCONJ
cord-186927-b8i85vo7	261	35	not	not	PART
cord-186927-b8i85vo7	261	36	on	on	ADP
cord-186927-b8i85vo7	261	37	the	the	DET
cord-186927-b8i85vo7	261	38	variation	variation	NOUN
cord-186927-b8i85vo7	261	39	of	of	ADP
cord-186927-b8i85vo7	261	40	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	261	41	s	s	NOUN
cord-186927-b8i85vo7	261	42	(	(	PUNCT
cord-186927-b8i85vo7	261	43	though	though	SCONJ
cord-186927-b8i85vo7	261	44	it	it	PRON
cord-186927-b8i85vo7	261	45	is	be	AUX
cord-186927-b8i85vo7	261	46	indexed	index	VERB
cord-186927-b8i85vo7	261	47	on	on	ADP
cord-186927-b8i85vo7	261	48	s	s	NOUN
cord-186927-b8i85vo7	261	49	through	through	ADP
cord-186927-b8i85vo7	261	50	the	the	DET
cord-186927-b8i85vo7	261	51	dt	dt	PROPN
cord-186927-b8i85vo7	261	52	integral	integral	ADJ
cord-186927-b8i85vo7	261	53	)	)	PUNCT
cord-186927-b8i85vo7	261	54	.	.	PUNCT
cord-186927-b8i85vo7	262	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	262	2	,	,	PUNCT
cord-186927-b8i85vo7	262	3	using	use	VERB
cord-186927-b8i85vo7	262	4	the	the	DET
cord-186927-b8i85vo7	262	5	link	link	NOUN
cord-186927-b8i85vo7	262	6	between	between	ADP
cord-186927-b8i85vo7	262	7	the	the	DET
cord-186927-b8i85vo7	262	8	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	262	9	of	of	ADP
cord-186927-b8i85vo7	262	10	i	i	PRON
cord-186927-b8i85vo7	262	11	and	and	CCONJ
cord-186927-b8i85vo7	262	12	s	s	PROPN
cord-186927-b8i85vo7	262	13	,	,	PUNCT
cord-186927-b8i85vo7	262	14	we	we	PRON
cord-186927-b8i85vo7	262	15	can	can	AUX
cord-186927-b8i85vo7	262	16	write	write	VERB
cord-186927-b8i85vo7	262	17	a	a	DET
cord-186927-b8i85vo7	262	18	representation	representation	NOUN
cord-186927-b8i85vo7	262	19	equivalent	equivalent	ADJ
cord-186927-b8i85vo7	262	20	to	to	ADP
cord-186927-b8i85vo7	262	21	(	(	PUNCT
cord-186927-b8i85vo7	262	22	2.10	2.10	NUM
cord-186927-b8i85vo7	262	23	)	)	PUNCT
cord-186927-b8i85vo7	262	24	through	through	ADP
cord-186927-b8i85vo7	262	25	this	this	DET
cord-186927-b8i85vo7	262	26	equation	equation	NOUN
cord-186927-b8i85vo7	262	27	,	,	PUNCT
cord-186927-b8i85vo7	262	28	we	we	PRON
cord-186927-b8i85vo7	262	29	can	can	AUX
cord-186927-b8i85vo7	262	30	state	state	VERB
cord-186927-b8i85vo7	262	31	that	that	SCONJ
cord-186927-b8i85vo7	262	32	the	the	DET
cord-186927-b8i85vo7	262	33	tax	tax	NOUN
cord-186927-b8i85vo7	262	34	can	can	AUX
cord-186927-b8i85vo7	262	35	be	be	AUX
cord-186927-b8i85vo7	262	36	indexed	index	VERB
cord-186927-b8i85vo7	262	37	on	on	ADP
cord-186927-b8i85vo7	262	38	s	s	PROPN
cord-186927-b8i85vo7	262	39	instead	instead	ADV
cord-186927-b8i85vo7	262	40	of	of	ADP
cord-186927-b8i85vo7	262	41	i.	i.	PROPN
cord-186927-b8i85vo7	262	42	therefore	therefore	ADV
cord-186927-b8i85vo7	262	43	,	,	PUNCT
cord-186927-b8i85vo7	262	44	given	give	VERB
cord-186927-b8i85vo7	262	45	the	the	DET
cord-186927-b8i85vo7	262	46	strong	strong	ADJ
cord-186927-b8i85vo7	262	47	link	link	NOUN
cord-186927-b8i85vo7	262	48	between	between	ADP
cord-186927-b8i85vo7	262	49	the	the	DET
cord-186927-b8i85vo7	262	50	number	number	NOUN
cord-186927-b8i85vo7	262	51	of	of	ADP
cord-186927-b8i85vo7	262	52	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	262	53	and	and	CCONJ
cord-186927-b8i85vo7	262	54	the	the	DET
cord-186927-b8i85vo7	262	55	number	number	NOUN
cord-186927-b8i85vo7	262	56	of	of	ADP
cord-186927-b8i85vo7	262	57	infected	infect	VERB
cord-186927-b8i85vo7	262	58	,	,	PUNCT
cord-186927-b8i85vo7	262	59	it	it	PRON
cord-186927-b8i85vo7	262	60	is	be	AUX
cord-186927-b8i85vo7	262	61	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	262	62	to	to	PART
cord-186927-b8i85vo7	262	63	index	index	VERB
cord-186927-b8i85vo7	262	64	the	the	DET
cord-186927-b8i85vo7	262	65	tax	tax	NOUN
cord-186927-b8i85vo7	262	66	on	on	ADP
cord-186927-b8i85vo7	262	67	only	only	ADV
cord-186927-b8i85vo7	262	68	one	one	NUM
cord-186927-b8i85vo7	262	69	of	of	ADP
cord-186927-b8i85vo7	262	70	these	these	DET
cord-186927-b8i85vo7	262	71	two	two	NUM
cord-186927-b8i85vo7	262	72	quantities	quantity	NOUN
cord-186927-b8i85vo7	262	73	,	,	PUNCT
cord-186927-b8i85vo7	262	74	and	and	CCONJ
cord-186927-b8i85vo7	262	75	one	one	PRON
cord-186927-b8i85vo7	262	76	can	can	AUX
cord-186927-b8i85vo7	262	77	therefore	therefore	ADV
cord-186927-b8i85vo7	262	78	choose	choose	VERB
cord-186927-b8i85vo7	262	79	indifferently	indifferently	ADV
cord-186927-b8i85vo7	262	80	to	to	PART
cord-186927-b8i85vo7	262	81	index	index	VERB
cord-186927-b8i85vo7	262	82	the	the	DET
cord-186927-b8i85vo7	262	83	tax	tax	NOUN
cord-186927-b8i85vo7	262	84	χ	χ	X
cord-186927-b8i85vo7	262	85	on	on	ADP
cord-186927-b8i85vo7	262	86	the	the	DET
cord-186927-b8i85vo7	262	87	variations	variation	NOUN
cord-186927-b8i85vo7	262	88	of	of	ADP
cord-186927-b8i85vo7	262	89	i	i	PRON
cord-186927-b8i85vo7	262	90	or	or	CCONJ
cord-186927-b8i85vo7	262	91	s.	s.	PROPN
cord-186927-b8i85vo7	262	92	the	the	DET
cord-186927-b8i85vo7	262	93	reader	reader	NOUN
cord-186927-b8i85vo7	262	94	familiar	familiar	ADJ
cord-186927-b8i85vo7	262	95	with	with	ADP
cord-186927-b8i85vo7	262	96	contract	contract	NOUN
cord-186927-b8i85vo7	262	97	theory	theory	NOUN
cord-186927-b8i85vo7	262	98	in	in	ADP
cord-186927-b8i85vo7	262	99	continuous	continuous	ADJ
cord-186927-b8i85vo7	262	100	-	-	PUNCT
cord-186927-b8i85vo7	262	101	time	time	NOUN
cord-186927-b8i85vo7	262	102	will	will	AUX
cord-186927-b8i85vo7	262	103	have	have	AUX
cord-186927-b8i85vo7	262	104	noticed	notice	VERB
cord-186927-b8i85vo7	262	105	that	that	SCONJ
cord-186927-b8i85vo7	262	106	the	the	DET
cord-186927-b8i85vo7	262	107	previous	previous	ADJ
cord-186927-b8i85vo7	262	108	representation	representation	NOUN
cord-186927-b8i85vo7	262	109	for	for	ADP
cord-186927-b8i85vo7	262	110	the	the	DET
cord-186927-b8i85vo7	262	111	tax	tax	NOUN
cord-186927-b8i85vo7	262	112	χ	χ	PROPN
cord-186927-b8i85vo7	262	113	is	be	AUX
cord-186927-b8i85vo7	262	114	not	not	PART
cord-186927-b8i85vo7	262	115	exactly	exactly	ADV
cord-186927-b8i85vo7	262	116	the	the	DET
cord-186927-b8i85vo7	262	117	expected	expect	VERB
cord-186927-b8i85vo7	262	118	one	one	NUM
cord-186927-b8i85vo7	262	119	.	.	PUNCT
cord-186927-b8i85vo7	263	1	indeed	indeed	ADV
cord-186927-b8i85vo7	263	2	,	,	PUNCT
cord-186927-b8i85vo7	263	3	referring	refer	VERB
cord-186927-b8i85vo7	263	4	for	for	ADP
cord-186927-b8i85vo7	263	5	instance	instance	NOUN
cord-186927-b8i85vo7	263	6	to	to	PART
cord-186927-b8i85vo7	263	7	cvitanić	cvitanić	PROPN
cord-186927-b8i85vo7	263	8	,	,	PUNCT
cord-186927-b8i85vo7	263	9	possamaï	possamaï	NOUN
cord-186927-b8i85vo7	263	10	,	,	PUNCT
cord-186927-b8i85vo7	263	11	and	and	CCONJ
cord-186927-b8i85vo7	263	12	touzi	touzi	PROPN
cord-186927-b8i85vo7	263	13	[	[	PUNCT
cord-186927-b8i85vo7	263	14	29	29	NUM
cord-186927-b8i85vo7	263	15	]	]	PUNCT
cord-186927-b8i85vo7	263	16	the	the	DET
cord-186927-b8i85vo7	263	17	contract	contract	NOUN
cord-186927-b8i85vo7	263	18	is	be	AUX
cord-186927-b8i85vo7	263	19	usually	usually	ADV
cord-186927-b8i85vo7	263	20	the	the	DET
cord-186927-b8i85vo7	263	21	sum	sum	NOUN
cord-186927-b8i85vo7	263	22	of	of	ADP
cord-186927-b8i85vo7	263	23	three	three	NUM
cord-186927-b8i85vo7	263	24	components	component	NOUN
cord-186927-b8i85vo7	263	25	:	:	PUNCT
cord-186927-b8i85vo7	263	26	(	(	PUNCT
cord-186927-b8i85vo7	263	27	i	i	NOUN
cord-186927-b8i85vo7	263	28	)	)	PUNCT
cord-186927-b8i85vo7	263	29	a	a	DET
cord-186927-b8i85vo7	263	30	constant	constant	ADJ
cord-186927-b8i85vo7	263	31	similar	similar	ADJ
cord-186927-b8i85vo7	263	32	to	to	ADP
cord-186927-b8i85vo7	263	33	y	y	PROPN
cord-186927-b8i85vo7	263	34	0	0	PROPN
cord-186927-b8i85vo7	263	35	,	,	PUNCT
cord-186927-b8i85vo7	263	36	chosen	choose	VERB
cord-186927-b8i85vo7	263	37	by	by	ADP
cord-186927-b8i85vo7	263	38	the	the	DET
cord-186927-b8i85vo7	263	39	principal	principal	NOUN
cord-186927-b8i85vo7	263	40	in	in	ADP
cord-186927-b8i85vo7	263	41	order	order	NOUN
cord-186927-b8i85vo7	263	42	to	to	PART
cord-186927-b8i85vo7	263	43	satisfy	satisfy	VERB
cord-186927-b8i85vo7	263	44	the	the	DET
cord-186927-b8i85vo7	263	45	participation	participation	NOUN
cord-186927-b8i85vo7	263	46	constraint	constraint	NOUN
cord-186927-b8i85vo7	263	47	of	of	ADP
cord-186927-b8i85vo7	263	48	the	the	DET
cord-186927-b8i85vo7	263	49	agent	agent	NOUN
cord-186927-b8i85vo7	263	50	;	;	PUNCT
cord-186927-b8i85vo7	263	51	(	(	PUNCT
cord-186927-b8i85vo7	263	52	ii	ii	PROPN
cord-186927-b8i85vo7	263	53	)	)	PUNCT
cord-186927-b8i85vo7	263	54	an	an	DET
cord-186927-b8i85vo7	263	55	integral	integral	ADJ
cord-186927-b8i85vo7	263	56	with	with	ADP
cord-186927-b8i85vo7	263	57	respect	respect	NOUN
cord-186927-b8i85vo7	263	58	to	to	ADP
cord-186927-b8i85vo7	263	59	time	time	NOUN
cord-186927-b8i85vo7	263	60	t	t	NOUN
cord-186927-b8i85vo7	263	61	∈	∈	NOUN
cord-186927-b8i85vo7	264	1	[	[	X
cord-186927-b8i85vo7	264	2	0	0	NUM
cord-186927-b8i85vo7	264	3	,	,	PUNCT
cord-186927-b8i85vo7	264	4	t	t	NOUN
cord-186927-b8i85vo7	264	5	]	]	PUNCT
cord-186927-b8i85vo7	264	6	of	of	ADP
cord-186927-b8i85vo7	264	7	the	the	DET
cord-186927-b8i85vo7	264	8	agent	agent	NOUN
cord-186927-b8i85vo7	264	9	's	's	PART
cord-186927-b8i85vo7	264	10	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	264	11	;	;	PUNCT
cord-186927-b8i85vo7	264	12	(	(	PUNCT
cord-186927-b8i85vo7	264	13	iii	iii	X
cord-186927-b8i85vo7	264	14	)	)	PUNCT
cord-186927-b8i85vo7	264	15	a	a	DET
cord-186927-b8i85vo7	264	16	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	264	17	integral	integral	ADJ
cord-186927-b8i85vo7	264	18	with	with	ADP
cord-186927-b8i85vo7	264	19	respect	respect	NOUN
cord-186927-b8i85vo7	264	20	to	to	ADP
cord-186927-b8i85vo7	264	21	the	the	DET
cord-186927-b8i85vo7	264	22	controlled	control	VERB
cord-186927-b8i85vo7	264	23	process	process	NOUN
cord-186927-b8i85vo7	264	24	,	,	PUNCT
cord-186927-b8i85vo7	264	25	i.e.	i.e.	X
cord-186927-b8i85vo7	264	26	,	,	PUNCT
cord-186927-b8i85vo7	264	27	in	in	ADP
cord-186927-b8i85vo7	264	28	our	our	PRON
cord-186927-b8i85vo7	264	29	framework	framework	NOUN
cord-186927-b8i85vo7	264	30	,	,	PUNCT
cord-186927-b8i85vo7	264	31	(	(	PUNCT
cord-186927-b8i85vo7	264	32	s	s	X
cord-186927-b8i85vo7	264	33	,	,	PUNCT
cord-186927-b8i85vo7	264	34	i	i	NOUN
cord-186927-b8i85vo7	264	35	)	)	PUNCT
cord-186927-b8i85vo7	264	36	.	.	PUNCT
cord-186927-b8i85vo7	265	1	neither	neither	CCONJ
cord-186927-b8i85vo7	265	2	the	the	DET
cord-186927-b8i85vo7	265	3	representation	representation	NOUN
cord-186927-b8i85vo7	265	4	(	(	PUNCT
cord-186927-b8i85vo7	265	5	2.10	2.10	NUM
cord-186927-b8i85vo7	265	6	)	)	PUNCT
cord-186927-b8i85vo7	265	7	nor	nor	CCONJ
cord-186927-b8i85vo7	265	8	(	(	PUNCT
cord-186927-b8i85vo7	265	9	2.11	2.11	NUM
cord-186927-b8i85vo7	265	10	)	)	PUNCT
cord-186927-b8i85vo7	265	11	are	be	AUX
cord-186927-b8i85vo7	265	12	,	,	PUNCT
cord-186927-b8i85vo7	265	13	a	a	DET
cord-186927-b8i85vo7	265	14	priori	priori	NOUN
cord-186927-b8i85vo7	265	15	of	of	ADP
cord-186927-b8i85vo7	265	16	this	this	DET
cord-186927-b8i85vo7	265	17	form	form	NOUN
cord-186927-b8i85vo7	265	18	.	.	PUNCT
cord-186927-b8i85vo7	266	1	this	this	DET
cord-186927-b8i85vo7	266	2	difference	difference	NOUN
cord-186927-b8i85vo7	266	3	is	be	AUX
cord-186927-b8i85vo7	266	4	due	due	ADJ
cord-186927-b8i85vo7	266	5	to	to	ADP
cord-186927-b8i85vo7	266	6	the	the	DET
cord-186927-b8i85vo7	266	7	fact	fact	NOUN
cord-186927-b8i85vo7	266	8	that	that	SCONJ
cord-186927-b8i85vo7	266	9	the	the	DET
cord-186927-b8i85vo7	266	10	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	266	11	of	of	ADP
cord-186927-b8i85vo7	266	12	(	(	PUNCT
cord-186927-b8i85vo7	266	13	s	s	PROPN
cord-186927-b8i85vo7	266	14	,	,	PUNCT
cord-186927-b8i85vo7	266	15	i	i	NOUN
cord-186927-b8i85vo7	266	16	)	)	PUNCT
cord-186927-b8i85vo7	266	17	is	be	AUX
cord-186927-b8i85vo7	266	18	degenerated	degenerate	VERB
cord-186927-b8i85vo7	266	19	.	.	PUNCT
cord-186927-b8i85vo7	267	1	more	more	ADV
cord-186927-b8i85vo7	267	2	precisely	precisely	ADV
cord-186927-b8i85vo7	267	3	,	,	PUNCT
cord-186927-b8i85vo7	267	4	there	there	PRON
cord-186927-b8i85vo7	267	5	is	be	VERB
cord-186927-b8i85vo7	267	6	a	a	DET
cord-186927-b8i85vo7	267	7	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	267	8	structure	structure	NOUN
cord-186927-b8i85vo7	267	9	condition	condition	NOUN
cord-186927-b8i85vo7	267	10	in	in	ADP
cord-186927-b8i85vo7	267	11	[	[	X
cord-186927-b8i85vo7	267	12	29	29	NUM
cord-186927-b8i85vo7	267	13	]	]	X
cord-186927-b8i85vo7	267	14	requiring	require	VERB
cord-186927-b8i85vo7	267	15	that	that	SCONJ
cord-186927-b8i85vo7	267	16	the	the	DET
cord-186927-b8i85vo7	267	17	drift	drift	NOUN
cord-186927-b8i85vo7	267	18	of	of	ADP
cord-186927-b8i85vo7	267	19	the	the	DET
cord-186927-b8i85vo7	267	20	output	output	NOUN
cord-186927-b8i85vo7	267	21	process	process	NOUN
cord-186927-b8i85vo7	267	22	belongs	belong	VERB
cord-186927-b8i85vo7	267	23	to	to	ADP
cord-186927-b8i85vo7	267	24	the	the	DET
cord-186927-b8i85vo7	267	25	range	range	NOUN
cord-186927-b8i85vo7	267	26	of	of	ADP
cord-186927-b8i85vo7	267	27	its	its	PRON
cord-186927-b8i85vo7	267	28	volatility	volatility	NOUN
cord-186927-b8i85vo7	267	29	.	.	PUNCT
cord-186927-b8i85vo7	268	1	in	in	ADP
cord-186927-b8i85vo7	268	2	words	word	NOUN
cord-186927-b8i85vo7	268	3	,	,	PUNCT
cord-186927-b8i85vo7	268	4	defining	define	VERB
cord-186927-b8i85vo7	268	5	for	for	ADP
cord-186927-b8i85vo7	268	6	(	(	PUNCT
cord-186927-b8i85vo7	268	7	s	s	X
cord-186927-b8i85vo7	268	8	,	,	PUNCT
cord-186927-b8i85vo7	268	9	which	which	PRON
cord-186927-b8i85vo7	268	10	is	be	AUX
cord-186927-b8i85vo7	268	11	obviously	obviously	ADV
cord-186927-b8i85vo7	268	12	impossible	impossible	ADJ
cord-186927-b8i85vo7	268	13	here	here	ADV
cord-186927-b8i85vo7	268	14	.	.	PUNCT
cord-186927-b8i85vo7	269	1	therefore	therefore	ADV
cord-186927-b8i85vo7	269	2	,	,	PUNCT
cord-186927-b8i85vo7	269	3	we	we	PRON
cord-186927-b8i85vo7	269	4	can	can	AUX
cord-186927-b8i85vo7	269	5	not	not	PART
cord-186927-b8i85vo7	269	6	use	use	VERB
cord-186927-b8i85vo7	269	7	directly	directly	ADV
cord-186927-b8i85vo7	269	8	any	any	DET
cord-186927-b8i85vo7	269	9	existing	exist	VERB
cord-186927-b8i85vo7	269	10	result	result	NOUN
cord-186927-b8i85vo7	269	11	in	in	ADP
cord-186927-b8i85vo7	269	12	the	the	DET
cord-186927-b8i85vo7	269	13	literature	literature	NOUN
cord-186927-b8i85vo7	269	14	,	,	PUNCT
cord-186927-b8i85vo7	269	15	and	and	CCONJ
cord-186927-b8i85vo7	269	16	we	we	PRON
cord-186927-b8i85vo7	269	17	should	should	AUX
cord-186927-b8i85vo7	269	18	not	not	PART
cord-186927-b8i85vo7	269	19	expect	expect	VERB
cord-186927-b8i85vo7	269	20	,	,	PUNCT
cord-186927-b8i85vo7	269	21	a	a	DET
cord-186927-b8i85vo7	269	22	priori	priori	X
cord-186927-b8i85vo7	269	23	,	,	PUNCT
cord-186927-b8i85vo7	269	24	to	to	PART
cord-186927-b8i85vo7	269	25	be	be	AUX
cord-186927-b8i85vo7	269	26	able	able	ADJ
cord-186927-b8i85vo7	269	27	to	to	PART
cord-186927-b8i85vo7	269	28	obtain	obtain	VERB
cord-186927-b8i85vo7	269	29	a	a	DET
cord-186927-b8i85vo7	269	30	contract	contract	NOUN
cord-186927-b8i85vo7	269	31	representation	representation	NOUN
cord-186927-b8i85vo7	269	32	similar	similar	ADJ
cord-186927-b8i85vo7	269	33	to	to	ADP
cord-186927-b8i85vo7	269	34	the	the	DET
cord-186927-b8i85vo7	269	35	one	one	NOUN
cord-186927-b8i85vo7	269	36	in	in	ADP
cord-186927-b8i85vo7	269	37	[	[	X
cord-186927-b8i85vo7	269	38	29	29	NUM
cord-186927-b8i85vo7	269	39	]	]	PUNCT
cord-186927-b8i85vo7	269	40	,	,	PUNCT
cord-186927-b8i85vo7	269	41	nor	nor	CCONJ
cord-186927-b8i85vo7	269	42	that	that	SCONJ
cord-186927-b8i85vo7	269	43	the	the	DET
cord-186927-b8i85vo7	269	44	so	so	ADV
cord-186927-b8i85vo7	269	45	-	-	PUNCT
cord-186927-b8i85vo7	269	46	called	call	VERB
cord-186927-b8i85vo7	269	47	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	269	48	programming	programming	NOUN
cord-186927-b8i85vo7	269	49	approach	approach	NOUN
cord-186927-b8i85vo7	269	50	will	will	AUX
cord-186927-b8i85vo7	269	51	prove	prove	VERB
cord-186927-b8i85vo7	269	52	effective	effective	ADJ
cord-186927-b8i85vo7	269	53	in	in	ADP
cord-186927-b8i85vo7	269	54	our	our	PRON
cord-186927-b8i85vo7	269	55	case	case	NOUN
cord-186927-b8i85vo7	269	56	.	.	PUNCT
cord-186927-b8i85vo7	270	1	indeed	indeed	ADV
cord-186927-b8i85vo7	270	2	,	,	PUNCT
cord-186927-b8i85vo7	270	3	as	as	ADV
cord-186927-b8i85vo7	270	4	far	far	ADV
cord-186927-b8i85vo7	270	5	as	as	SCONJ
cord-186927-b8i85vo7	270	6	we	we	PRON
cord-186927-b8i85vo7	270	7	know	know	VERB
cord-186927-b8i85vo7	270	8	,	,	PUNCT
cord-186927-b8i85vo7	270	9	such	such	ADJ
cord-186927-b8i85vo7	270	10	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	270	11	models	model	NOUN
cord-186927-b8i85vo7	270	12	have	have	AUX
cord-186927-b8i85vo7	270	13	only	only	ADV
cord-186927-b8i85vo7	270	14	been	be	AUX
cord-186927-b8i85vo7	270	15	tackled	tackle	VERB
cord-186927-b8i85vo7	270	16	using	use	VERB
cord-186927-b8i85vo7	270	17	the	the	DET
cord-186927-b8i85vo7	270	18	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	270	19	maximum	maximum	NOUN
cord-186927-b8i85vo7	270	20	principle	principle	NOUN
cord-186927-b8i85vo7	270	21	,	,	PUNCT
cord-186927-b8i85vo7	270	22	see	see	VERB
cord-186927-b8i85vo7	270	23	hu	hu	PROPN
cord-186927-b8i85vo7	270	24	,	,	PUNCT
cord-186927-b8i85vo7	270	25	ren	ren	PROPN
cord-186927-b8i85vo7	270	26	,	,	PUNCT
cord-186927-b8i85vo7	270	27	and	and	CCONJ
cord-186927-b8i85vo7	270	28	touzi	touzi	PROPN
cord-186927-b8i85vo7	271	1	[	[	PUNCT
cord-186927-b8i85vo7	271	2	56	56	NUM
cord-186927-b8i85vo7	271	3	]	]	PUNCT
cord-186927-b8i85vo7	271	4	.	.	PUNCT
cord-186927-b8i85vo7	272	1	however	however	ADV
cord-186927-b8i85vo7	272	2	,	,	PUNCT
cord-186927-b8i85vo7	272	3	and	and	CCONJ
cord-186927-b8i85vo7	272	4	somewhat	somewhat	ADV
cord-186927-b8i85vo7	272	5	surprisingly	surprisingly	ADV
cord-186927-b8i85vo7	272	6	,	,	PUNCT
cord-186927-b8i85vo7	272	7	the	the	DET
cord-186927-b8i85vo7	272	8	form	form	NOUN
cord-186927-b8i85vo7	272	9	we	we	PRON
cord-186927-b8i85vo7	272	10	exhibit	exhibit	VERB
cord-186927-b8i85vo7	272	11	for	for	ADP
cord-186927-b8i85vo7	272	12	the	the	DET
cord-186927-b8i85vo7	272	13	tax	tax	NOUN
cord-186927-b8i85vo7	272	14	is	be	AUX
cord-186927-b8i85vo7	272	15	actually	actually	ADV
cord-186927-b8i85vo7	272	16	strongly	strongly	ADV
cord-186927-b8i85vo7	272	17	related	relate	VERB
cord-186927-b8i85vo7	272	18	to	to	ADP
cord-186927-b8i85vo7	272	19	the	the	DET
cord-186927-b8i85vo7	272	20	usual	usual	ADJ
cord-186927-b8i85vo7	272	21	representation	representation	NOUN
cord-186927-b8i85vo7	272	22	.	.	PUNCT
cord-186927-b8i85vo7	273	1	the	the	DET
cord-186927-b8i85vo7	273	2	reason	reason	NOUN
cord-186927-b8i85vo7	273	3	for	for	ADP
cord-186927-b8i85vo7	273	4	this	this	PRON
cord-186927-b8i85vo7	273	5	is	be	AUX
cord-186927-b8i85vo7	273	6	twofold	twofold	ADJ
cord-186927-b8i85vo7	273	7	.	.	PUNCT
cord-186927-b8i85vo7	274	1	first	first	ADV
cord-186927-b8i85vo7	274	2	,	,	PUNCT
cord-186927-b8i85vo7	274	3	up	up	ADP
cord-186927-b8i85vo7	274	4	to	to	ADP
cord-186927-b8i85vo7	274	5	the	the	DET
cord-186927-b8i85vo7	274	6	sign	sign	NOUN
cord-186927-b8i85vo7	274	7	,	,	PUNCT
cord-186927-b8i85vo7	274	8	the	the	DET
cord-186927-b8i85vo7	274	9	volatilities	volatility	NOUN
cord-186927-b8i85vo7	274	10	in	in	ADP
cord-186927-b8i85vo7	274	11	the	the	DET
cord-186927-b8i85vo7	274	12	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	274	13	of	of	ADP
cord-186927-b8i85vo7	274	14	both	both	DET
cord-186927-b8i85vo7	274	15	s	s	NOUN
cord-186927-b8i85vo7	274	16	and	and	CCONJ
cord-186927-b8i85vo7	274	17	i	i	PRON
cord-186927-b8i85vo7	274	18	are	be	AUX
cord-186927-b8i85vo7	274	19	exactly	exactly	ADV
cord-186927-b8i85vo7	274	20	the	the	DET
cord-186927-b8i85vo7	274	21	same	same	ADJ
cord-186927-b8i85vo7	274	22	.	.	PUNCT
cord-186927-b8i85vo7	275	1	second	second	ADV
cord-186927-b8i85vo7	275	2	,	,	PUNCT
cord-186927-b8i85vo7	275	3	both	both	PRON
cord-186927-b8i85vo7	275	4	the	the	DET
cord-186927-b8i85vo7	275	5	processes	process	NOUN
cord-186927-b8i85vo7	275	6	s	s	NOUN
cord-186927-b8i85vo7	275	7	and	and	CCONJ
cord-186927-b8i85vo7	275	8	i	i	PRON
cord-186927-b8i85vo7	275	9	are	be	AUX
cord-186927-b8i85vo7	275	10	driven	drive	VERB
cord-186927-b8i85vo7	275	11	by	by	ADP
cord-186927-b8i85vo7	275	12	the	the	DET
cord-186927-b8i85vo7	275	13	same	same	ADJ
cord-186927-b8i85vo7	275	14	brownian	brownian	ADJ
cord-186927-b8i85vo7	275	15	motion	motion	NOUN
cord-186927-b8i85vo7	275	16	w	w	PROPN
cord-186927-b8i85vo7	275	17	.	.	PUNCT
cord-186927-b8i85vo7	276	1	therefore	therefore	ADV
cord-186927-b8i85vo7	276	2	,	,	PUNCT
cord-186927-b8i85vo7	276	3	intuitively	intuitively	ADV
cord-186927-b8i85vo7	276	4	,	,	PUNCT
cord-186927-b8i85vo7	276	5	in	in	ADP
cord-186927-b8i85vo7	276	6	order	order	NOUN
cord-186927-b8i85vo7	276	7	to	to	PART
cord-186927-b8i85vo7	276	8	provide	provide	VERB
cord-186927-b8i85vo7	276	9	incentives	incentive	NOUN
cord-186927-b8i85vo7	276	10	to	to	ADP
cord-186927-b8i85vo7	276	11	the	the	DET
cord-186927-b8i85vo7	276	12	population	population	NOUN
cord-186927-b8i85vo7	276	13	,	,	PUNCT
cord-186927-b8i85vo7	276	14	the	the	DET
cord-186927-b8i85vo7	276	15	government	government	NOUN
cord-186927-b8i85vo7	276	16	can	can	AUX
cord-186927-b8i85vo7	276	17	afford	afford	VERB
cord-186927-b8i85vo7	276	18	to	to	PART
cord-186927-b8i85vo7	276	19	index	index	VERB
cord-186927-b8i85vo7	276	20	the	the	DET
cord-186927-b8i85vo7	276	21	tax	tax	NOUN
cord-186927-b8i85vo7	276	22	on	on	ADP
cord-186927-b8i85vo7	276	23	only	only	ADV
cord-186927-b8i85vo7	276	24	one	one	NUM
cord-186927-b8i85vo7	276	25	of	of	ADP
cord-186927-b8i85vo7	276	26	the	the	DET
cord-186927-b8i85vo7	276	27	two	two	NUM
cord-186927-b8i85vo7	276	28	processes	process	NOUN
cord-186927-b8i85vo7	276	29	.	.	PUNCT
cord-186927-b8i85vo7	277	1	mathematically	mathematically	ADV
cord-186927-b8i85vo7	277	2	,	,	PUNCT
cord-186927-b8i85vo7	277	3	it	it	PRON
cord-186927-b8i85vo7	277	4	is	be	AUX
cord-186927-b8i85vo7	277	5	also	also	ADV
cord-186927-b8i85vo7	277	6	straightforward	straightforward	ADJ
cord-186927-b8i85vo7	277	7	to	to	PART
cord-186927-b8i85vo7	277	8	show	show	VERB
cord-186927-b8i85vo7	277	9	that	that	SCONJ
cord-186927-b8i85vo7	277	10	given	give	VERB
cord-186927-b8i85vo7	277	11	an	an	DET
cord-186927-b8i85vo7	277	12	arbitrary	arbitrary	ADJ
cord-186927-b8i85vo7	277	13	decomposition	decomposition	NOUN
cord-186927-b8i85vo7	277	14	of	of	ADP
cord-186927-b8i85vo7	277	15	the	the	DET
cord-186927-b8i85vo7	277	16	process	process	NOUN
cord-186927-b8i85vo7	277	17	z	z	NOUN
cord-186927-b8i85vo7	277	18	in	in	ADP
cord-186927-b8i85vo7	277	19	equation	equation	NOUN
cord-186927-b8i85vo7	277	20	(	(	PUNCT
cord-186927-b8i85vo7	277	21	2.10	2.10	NUM
cord-186927-b8i85vo7	277	22	)	)	PUNCT
cord-186927-b8i85vo7	277	23	of	of	ADP
cord-186927-b8i85vo7	277	24	the	the	DET
cord-186927-b8i85vo7	277	25	form	form	NOUN
cord-186927-b8i85vo7	277	26	z	z	NOUN
cord-186927-b8i85vo7	277	27	=	=	NOUN
cord-186927-b8i85vo7	277	28	:	:	PUNCT
cord-186927-b8i85vo7	277	29	where	where	SCONJ
cord-186927-b8i85vo7	277	30	h	h	PROPN
cord-186927-b8i85vo7	277	31	is	be	AUX
cord-186927-b8i85vo7	277	32	the	the	DET
cord-186927-b8i85vo7	277	33	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	277	34	of	of	ADP
cord-186927-b8i85vo7	277	35	the	the	DET
cord-186927-b8i85vo7	277	36	population	population	NOUN
cord-186927-b8i85vo7	277	37	,	,	PUNCT
cord-186927-b8i85vo7	277	38	and	and	CCONJ
cord-186927-b8i85vo7	277	39	this	this	PRON
cord-186927-b8i85vo7	277	40	is	be	AUX
cord-186927-b8i85vo7	277	41	exactly	exactly	ADV
cord-186927-b8i85vo7	277	42	the	the	DET
cord-186927-b8i85vo7	277	43	general	general	ADJ
cord-186927-b8i85vo7	277	44	form	form	NOUN
cord-186927-b8i85vo7	277	45	provided	provide	VERB
cord-186927-b8i85vo7	277	46	in	in	ADP
cord-186927-b8i85vo7	277	47	[	[	SYM
cord-186927-b8i85vo7	277	48	29	29	NUM
cord-186927-b8i85vo7	277	49	]	]	PUNCT
cord-186927-b8i85vo7	277	50	.	.	PUNCT
cord-186927-b8i85vo7	278	1	the	the	DET
cord-186927-b8i85vo7	278	2	main	main	ADJ
cord-186927-b8i85vo7	278	3	difference	difference	NOUN
cord-186927-b8i85vo7	278	4	is	be	AUX
cord-186927-b8i85vo7	278	5	that	that	SCONJ
cord-186927-b8i85vo7	278	6	in	in	ADP
cord-186927-b8i85vo7	278	7	[	[	X
cord-186927-b8i85vo7	278	8	29	29	NUM
cord-186927-b8i85vo7	278	9	]	]	PUNCT
cord-186927-b8i85vo7	278	10	,	,	PUNCT
cord-186927-b8i85vo7	278	11	z	z	NOUN
cord-186927-b8i85vo7	278	12	s	s	NOUN
cord-186927-b8i85vo7	278	13	and	and	CCONJ
cord-186927-b8i85vo7	278	14	z	z	NOUN
cord-186927-b8i85vo7	278	15	i	i	PRON
cord-186927-b8i85vo7	278	16	are	be	AUX
cord-186927-b8i85vo7	278	17	both	both	ADV
cord-186927-b8i85vo7	278	18	uniquely	uniquely	ADV
cord-186927-b8i85vo7	278	19	given	give	VERB
cord-186927-b8i85vo7	278	20	,	,	PUNCT
cord-186927-b8i85vo7	278	21	while	while	SCONJ
cord-186927-b8i85vo7	278	22	in	in	ADP
cord-186927-b8i85vo7	278	23	our	our	PRON
cord-186927-b8i85vo7	278	24	representation	representation	NOUN
cord-186927-b8i85vo7	278	25	,	,	PUNCT
cord-186927-b8i85vo7	278	26	only	only	ADV
cord-186927-b8i85vo7	278	27	their	their	PRON
cord-186927-b8i85vo7	278	28	difference	difference	NOUN
cord-186927-b8i85vo7	278	29	actually	actually	ADV
cord-186927-b8i85vo7	278	30	matters	matter	VERB
cord-186927-b8i85vo7	278	31	.	.	PUNCT
cord-186927-b8i85vo7	279	1	hence	hence	ADV
cord-186927-b8i85vo7	279	2	,	,	PUNCT
cord-186927-b8i85vo7	279	3	there	there	PRON
cord-186927-b8i85vo7	279	4	is	be	VERB
cord-186927-b8i85vo7	279	5	an	an	DET
cord-186927-b8i85vo7	279	6	infinite	infinite	ADJ
cord-186927-b8i85vo7	279	7	number	number	NOUN
cord-186927-b8i85vo7	279	8	of	of	ADP
cord-186927-b8i85vo7	279	9	possible	possible	ADJ
cord-186927-b8i85vo7	279	10	representations	representation	NOUN
cord-186927-b8i85vo7	279	11	for	for	ADP
cord-186927-b8i85vo7	279	12	the	the	DET
cord-186927-b8i85vo7	279	13	tax	tax	NOUN
cord-186927-b8i85vo7	279	14	χ	χ	X
cord-186927-b8i85vo7	279	15	in	in	ADP
cord-186927-b8i85vo7	279	16	our	our	PRON
cord-186927-b8i85vo7	279	17	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	279	18	model	model	NOUN
cord-186927-b8i85vo7	279	19	.	.	PUNCT
cord-186927-b8i85vo7	280	1	as	as	SCONJ
cord-186927-b8i85vo7	280	2	already	already	ADV
cord-186927-b8i85vo7	280	3	explained	explain	VERB
cord-186927-b8i85vo7	280	4	,	,	PUNCT
cord-186927-b8i85vo7	280	5	the	the	DET
cord-186927-b8i85vo7	280	6	government	government	NOUN
cord-186927-b8i85vo7	280	7	can	can	AUX
cord-186927-b8i85vo7	280	8	choose	choose	VERB
cord-186927-b8i85vo7	280	9	the	the	DET
cord-186927-b8i85vo7	280	10	tax	tax	NOUN
cord-186927-b8i85vo7	280	11	χ	χ	PROPN
cord-186927-b8i85vo7	280	12	∈	∈	PROPN
cord-186927-b8i85vo7	280	13	c	c	X
cord-186927-b8i85vo7	280	14	paid	pay	VERB
cord-186927-b8i85vo7	280	15	by	by	ADP
cord-186927-b8i85vo7	280	16	the	the	DET
cord-186927-b8i85vo7	280	17	population	population	NOUN
cord-186927-b8i85vo7	280	18	together	together	ADV
cord-186927-b8i85vo7	280	19	with	with	ADP
cord-186927-b8i85vo7	280	20	the	the	DET
cord-186927-b8i85vo7	280	21	testing	testing	NOUN
cord-186927-b8i85vo7	280	22	policy	policy	NOUN
cord-186927-b8i85vo7	280	23	α	α	PROPN
cord-186927-b8i85vo7	280	24	∈	∈	PROPN
cord-186927-b8i85vo7	280	25	a.	a.	NOUN
cord-186927-b8i85vo7	281	1	it	it	PRON
cord-186927-b8i85vo7	281	2	aims	aim	VERB
cord-186927-b8i85vo7	281	3	at	at	ADP
cord-186927-b8i85vo7	281	4	minimising	minimise	VERB
cord-186927-b8i85vo7	281	5	the	the	DET
cord-186927-b8i85vo7	281	6	number	number	NOUN
cord-186927-b8i85vo7	281	7	of	of	ADP
cord-186927-b8i85vo7	281	8	infected	infected	ADJ
cord-186927-b8i85vo7	281	9	people	people	NOUN
cord-186927-b8i85vo7	281	10	until	until	ADP
cord-186927-b8i85vo7	281	11	the	the	DET
cord-186927-b8i85vo7	281	12	end	end	NOUN
cord-186927-b8i85vo7	281	13	of	of	ADP
cord-186927-b8i85vo7	281	14	the	the	DET
cord-186927-b8i85vo7	281	15	quarantine	quarantine	NOUN
cord-186927-b8i85vo7	281	16	period	period	NOUN
cord-186927-b8i85vo7	281	17	,	,	PUNCT
cord-186927-b8i85vo7	281	18	and	and	CCONJ
cord-186927-b8i85vo7	281	19	we	we	PRON
cord-186927-b8i85vo7	281	20	informally	informally	ADV
cord-186927-b8i85vo7	281	21	write	write	VERB
cord-186927-b8i85vo7	281	22	its	its	PRON
cord-186927-b8i85vo7	281	23	minimisation	minimisation	NOUN
cord-186927-b8i85vo7	281	24	problem	problem	NOUN
cord-186927-b8i85vo7	281	25	as	as	ADP
cord-186927-b8i85vo7	281	26	where	where	SCONJ
cord-186927-b8i85vo7	281	27	c	c	X
cord-186927-b8i85vo7	281	28	:	:	PUNCT
cord-186927-b8i85vo7	281	29	the	the	DET
cord-186927-b8i85vo7	281	30	function	function	NOUN
cord-186927-b8i85vo7	281	31	c	c	PROPN
cord-186927-b8i85vo7	281	32	denotes	denote	VERB
cord-186927-b8i85vo7	281	33	the	the	DET
cord-186927-b8i85vo7	281	34	instantaneous	instantaneous	ADJ
cord-186927-b8i85vo7	281	35	cost	cost	NOUN
cord-186927-b8i85vo7	281	36	implied	imply	VERB
cord-186927-b8i85vo7	281	37	by	by	ADP
cord-186927-b8i85vo7	281	38	the	the	DET
cord-186927-b8i85vo7	281	39	proportion	proportion	NOUN
cord-186927-b8i85vo7	281	40	of	of	ADP
cord-186927-b8i85vo7	281	41	infected	infected	ADJ
cord-186927-b8i85vo7	281	42	people	people	NOUN
cord-186927-b8i85vo7	281	43	during	during	ADP
cord-186927-b8i85vo7	281	44	the	the	DET
cord-186927-b8i85vo7	281	45	quarantine	quarantine	NOUN
cord-186927-b8i85vo7	281	46	period	period	NOUN
cord-186927-b8i85vo7	281	47	,	,	PUNCT
cord-186927-b8i85vo7	281	48	and	and	CCONJ
cord-186927-b8i85vo7	281	49	is	be	AUX
cord-186927-b8i85vo7	281	50	thus	thus	ADV
cord-186927-b8i85vo7	281	51	assumed	assume	VERB
cord-186927-b8i85vo7	281	52	to	to	PART
cord-186927-b8i85vo7	281	53	be	be	AUX
cord-186927-b8i85vo7	281	54	non	non	ADJ
cord-186927-b8i85vo7	281	55	-	-	ADJ
cord-186927-b8i85vo7	281	56	decreasing	decrease	VERB
cord-186927-b8i85vo7	281	57	,	,	PUNCT
cord-186927-b8i85vo7	281	58	while	while	SCONJ
cord-186927-b8i85vo7	281	59	the	the	DET
cord-186927-b8i85vo7	281	60	function	function	NOUN
cord-186927-b8i85vo7	281	61	k	k	PROPN
cord-186927-b8i85vo7	281	62	represents	represent	VERB
cord-186927-b8i85vo7	281	63	the	the	DET
cord-186927-b8i85vo7	281	64	cost	cost	NOUN
cord-186927-b8i85vo7	281	65	of	of	ADP
cord-186927-b8i85vo7	281	66	the	the	DET
cord-186927-b8i85vo7	281	67	testing	testing	NOUN
cord-186927-b8i85vo7	281	68	policy	policy	NOUN
cord-186927-b8i85vo7	281	69	.	.	PUNCT
cord-186927-b8i85vo7	282	1	in	in	ADP
cord-186927-b8i85vo7	282	2	addition	addition	NOUN
cord-186927-b8i85vo7	282	3	,	,	PUNCT
cord-186927-b8i85vo7	282	4	the	the	DET
cord-186927-b8i85vo7	282	5	set	set	NOUN
cord-186927-b8i85vo7	282	6	ξ	ξ	PROPN
cord-186927-b8i85vo7	282	7	takes	take	VERB
cord-186927-b8i85vo7	282	8	into	into	ADP
cord-186927-b8i85vo7	282	9	account	account	NOUN
cord-186927-b8i85vo7	282	10	the	the	DET
cord-186927-b8i85vo7	282	11	so	so	ADV
cord-186927-b8i85vo7	282	12	-	-	PUNCT
cord-186927-b8i85vo7	282	13	called	call	VERB
cord-186927-b8i85vo7	282	14	participation	participation	NOUN
cord-186927-b8i85vo7	282	15	constraint	constraint	NOUN
cord-186927-b8i85vo7	282	16	for	for	ADP
cord-186927-b8i85vo7	282	17	the	the	DET
cord-186927-b8i85vo7	282	18	population	population	NOUN
cord-186927-b8i85vo7	282	19	.	.	PUNCT
cord-186927-b8i85vo7	283	1	this	this	PRON
cord-186927-b8i85vo7	283	2	means	mean	VERB
cord-186927-b8i85vo7	283	3	that	that	SCONJ
cord-186927-b8i85vo7	283	4	the	the	DET
cord-186927-b8i85vo7	283	5	government	government	NOUN
cord-186927-b8i85vo7	283	6	is	be	AUX
cord-186927-b8i85vo7	283	7	benevolent	benevolent	ADJ
cord-186927-b8i85vo7	283	8	,	,	PUNCT
cord-186927-b8i85vo7	283	9	which	which	PRON
cord-186927-b8i85vo7	283	10	translates	translate	VERB
cord-186927-b8i85vo7	283	11	into	into	ADP
cord-186927-b8i85vo7	283	12	the	the	DET
cord-186927-b8i85vo7	283	13	fact	fact	NOUN
cord-186927-b8i85vo7	283	14	that	that	SCONJ
cord-186927-b8i85vo7	283	15	it	it	PRON
cord-186927-b8i85vo7	283	16	has	have	AUX
cord-186927-b8i85vo7	283	17	committed	commit	VERB
cord-186927-b8i85vo7	283	18	to	to	PART
cord-186927-b8i85vo7	283	19	ensure	ensure	VERB
cord-186927-b8i85vo7	283	20	that	that	SCONJ
cord-186927-b8i85vo7	283	21	the	the	DET
cord-186927-b8i85vo7	283	22	living	living	NOUN
cord-186927-b8i85vo7	283	23	conditions	condition	NOUN
cord-186927-b8i85vo7	283	24	of	of	ADP
cord-186927-b8i85vo7	283	25	the	the	DET
cord-186927-b8i85vo7	283	26	population	population	NOUN
cord-186927-b8i85vo7	283	27	do	do	AUX
cord-186927-b8i85vo7	283	28	not	not	PART
cord-186927-b8i85vo7	283	29	fall	fall	VERB
cord-186927-b8i85vo7	283	30	below	below	ADP
cord-186927-b8i85vo7	283	31	a	a	DET
cord-186927-b8i85vo7	283	32	minimal	minimal	ADJ
cord-186927-b8i85vo7	283	33	level	level	NOUN
cord-186927-b8i85vo7	283	34	.	.	PUNCT
cord-186927-b8i85vo7	284	1	mathematically	mathematically	ADV
cord-186927-b8i85vo7	284	2	,	,	PUNCT
cord-186927-b8i85vo7	284	3	the	the	DET
cord-186927-b8i85vo7	284	4	government	government	NOUN
cord-186927-b8i85vo7	284	5	can	can	AUX
cord-186927-b8i85vo7	284	6	only	only	ADV
cord-186927-b8i85vo7	284	7	implement	implement	VERB
cord-186927-b8i85vo7	284	8	policies	policy	NOUN
cord-186927-b8i85vo7	284	9	concerning	concern	VERB
cord-186927-b8i85vo7	284	10	the	the	DET
cord-186927-b8i85vo7	284	11	cost	cost	NOUN
cord-186927-b8i85vo7	284	12	function	function	NOUN
cord-186927-b8i85vo7	284	13	k	k	PROPN
cord-186927-b8i85vo7	284	14	associated	associate	VERB
cord-186927-b8i85vo7	284	15	with	with	ADP
cord-186927-b8i85vo7	284	16	the	the	DET
cord-186927-b8i85vo7	284	17	testing	testing	NOUN
cord-186927-b8i85vo7	284	18	policy	policy	NOUN
cord-186927-b8i85vo7	284	19	,	,	PUNCT
cord-186927-b8i85vo7	284	20	we	we	PRON
cord-186927-b8i85vo7	284	21	recall	recall	VERB
cord-186927-b8i85vo7	284	22	that	that	SCONJ
cord-186927-b8i85vo7	284	23	α	α	PROPN
cord-186927-b8i85vo7	284	24	=	=	NOUN
cord-186927-b8i85vo7	284	25	1	1	NUM
cord-186927-b8i85vo7	284	26	means	mean	VERB
cord-186927-b8i85vo7	284	27	no	no	DET
cord-186927-b8i85vo7	284	28	testing	testing	NOUN
cord-186927-b8i85vo7	284	29	policy	policy	NOUN
cord-186927-b8i85vo7	284	30	,	,	PUNCT
cord-186927-b8i85vo7	284	31	so	so	CCONJ
cord-186927-b8i85vo7	284	32	no	no	DET
cord-186927-b8i85vo7	284	33	cost	cost	NOUN
cord-186927-b8i85vo7	284	34	for	for	ADP
cord-186927-b8i85vo7	284	35	the	the	DET
cord-186927-b8i85vo7	284	36	government	government	NOUN
cord-186927-b8i85vo7	284	37	.	.	PUNCT
cord-186927-b8i85vo7	285	1	as	as	ADV
cord-186927-b8i85vo7	285	2	soon	soon	ADV
cord-186927-b8i85vo7	285	3	as	as	SCONJ
cord-186927-b8i85vo7	285	4	α	α	PRON
cord-186927-b8i85vo7	285	5	is	be	AUX
cord-186927-b8i85vo7	285	6	different	different	ADJ
cord-186927-b8i85vo7	285	7	from	from	ADP
cord-186927-b8i85vo7	285	8	1	1	NUM
cord-186927-b8i85vo7	285	9	,	,	PUNCT
cord-186927-b8i85vo7	285	10	the	the	DET
cord-186927-b8i85vo7	285	11	cost	cost	NOUN
cord-186927-b8i85vo7	285	12	has	have	VERB
cord-186927-b8i85vo7	285	13	to	to	PART
cord-186927-b8i85vo7	285	14	be	be	AUX
cord-186927-b8i85vo7	285	15	higher	high	ADJ
cord-186927-b8i85vo7	285	16	.	.	PUNCT
cord-186927-b8i85vo7	286	1	we	we	PRON
cord-186927-b8i85vo7	286	2	may	may	AUX
cord-186927-b8i85vo7	286	3	consider	consider	VERB
cord-186927-b8i85vo7	286	4	the	the	DET
cord-186927-b8i85vo7	286	5	following	follow	VERB
cord-186927-b8i85vo7	286	6	function	function	NOUN
cord-186927-b8i85vo7	286	7	for	for	ADP
cord-186927-b8i85vo7	286	8	the	the	DET
cord-186927-b8i85vo7	286	9	testing	testing	NOUN
cord-186927-b8i85vo7	286	10	policy	policy	NOUN
cord-186927-b8i85vo7	286	11	k	k	PROPN
cord-186927-b8i85vo7	286	12	,	,	PUNCT
cord-186927-b8i85vo7	286	13	for	for	ADP
cord-186927-b8i85vo7	286	14	some	some	DET
cord-186927-b8i85vo7	286	15	η	η	NOUN
cord-186927-b8i85vo7	286	16	g	g	X
cord-186927-b8i85vo7	286	17	>	>	X
cord-186927-b8i85vo7	286	18	0	0	NUM
cord-186927-b8i85vo7	286	19	and	and	CCONJ
cord-186927-b8i85vo7	286	20	κ	κ	NOUN
cord-186927-b8i85vo7	286	21	g	g	X
cord-186927-b8i85vo7	286	22	>	>	PUNCT
cord-186927-b8i85vo7	286	23	0	0	NUM
cord-186927-b8i85vo7	286	24	,	,	PUNCT
cord-186927-b8i85vo7	286	25	this	this	DET
cord-186927-b8i85vo7	286	26	function	function	NOUN
cord-186927-b8i85vo7	286	27	highlights	highlight	VERB
cord-186927-b8i85vo7	286	28	the	the	DET
cord-186927-b8i85vo7	286	29	fact	fact	NOUN
cord-186927-b8i85vo7	286	30	that	that	SCONJ
cord-186927-b8i85vo7	286	31	it	it	PRON
cord-186927-b8i85vo7	286	32	is	be	AUX
cord-186927-b8i85vo7	286	33	very	very	ADV
cord-186927-b8i85vo7	286	34	costly	costly	ADJ
cord-186927-b8i85vo7	286	35	,	,	PUNCT
cord-186927-b8i85vo7	286	36	if	if	SCONJ
cord-186927-b8i85vo7	286	37	not	not	PART
cord-186927-b8i85vo7	286	38	impossible	impossible	ADJ
cord-186927-b8i85vo7	286	39	,	,	PUNCT
cord-186927-b8i85vo7	286	40	to	to	PART
cord-186927-b8i85vo7	286	41	eliminate	eliminate	VERB
cord-186927-b8i85vo7	286	42	the	the	DET
cord-186927-b8i85vo7	286	43	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	286	44	associated	associate	VERB
cord-186927-b8i85vo7	286	45	with	with	ADP
cord-186927-b8i85vo7	286	46	the	the	DET
cord-186927-b8i85vo7	286	47	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	286	48	.	.	PUNCT
cord-186927-b8i85vo7	287	1	indeed	indeed	ADV
cord-186927-b8i85vo7	287	2	,	,	PUNCT
cord-186927-b8i85vo7	287	3	in	in	ADP
cord-186927-b8i85vo7	287	4	a	a	DET
cord-186927-b8i85vo7	287	5	relatively	relatively	ADV
cord-186927-b8i85vo7	287	6	populous	populous	ADJ
cord-186927-b8i85vo7	287	7	country	country	NOUN
cord-186927-b8i85vo7	287	8	,	,	PUNCT
cord-186927-b8i85vo7	287	9	it	it	PRON
cord-186927-b8i85vo7	287	10	seems	seem	VERB
cord-186927-b8i85vo7	287	11	impossible	impossible	ADJ
cord-186927-b8i85vo7	287	12	to	to	PART
cord-186927-b8i85vo7	287	13	develop	develop	VERB
cord-186927-b8i85vo7	287	14	a	a	DET
cord-186927-b8i85vo7	287	15	testing	testing	NOUN
cord-186927-b8i85vo7	287	16	policy	policy	NOUN
cord-186927-b8i85vo7	287	17	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	287	18	to	to	PART
cord-186927-b8i85vo7	287	19	know	know	VERB
cord-186927-b8i85vo7	287	20	exactly	exactly	ADV
cord-186927-b8i85vo7	287	21	the	the	DET
cord-186927-b8i85vo7	287	22	proportion	proportion	NOUN
cord-186927-b8i85vo7	287	23	of	of	ADP
cord-186927-b8i85vo7	287	24	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	287	25	and	and	CCONJ
cord-186927-b8i85vo7	287	26	infected	infected	ADJ
cord-186927-b8i85vo7	287	27	people	people	NOUN
cord-186927-b8i85vo7	287	28	.	.	PUNCT
cord-186927-b8i85vo7	288	1	another	another	DET
cord-186927-b8i85vo7	288	2	interesting	interesting	ADJ
cord-186927-b8i85vo7	288	3	case	case	NOUN
cord-186927-b8i85vo7	288	4	to	to	PART
cord-186927-b8i85vo7	288	5	compare	compare	VERB
cord-186927-b8i85vo7	288	6	our	our	PRON
cord-186927-b8i85vo7	288	7	results	result	NOUN
cord-186927-b8i85vo7	288	8	with	with	ADP
cord-186927-b8i85vo7	288	9	,	,	PUNCT
cord-186927-b8i85vo7	288	10	corresponds	correspond	VERB
cord-186927-b8i85vo7	288	11	to	to	ADP
cord-186927-b8i85vo7	288	12	the	the	DET
cord-186927-b8i85vo7	288	13	so	so	ADV
cord-186927-b8i85vo7	288	14	-	-	PUNCT
cord-186927-b8i85vo7	288	15	called	call	VERB
cord-186927-b8i85vo7	288	16	first	first	ADV
cord-186927-b8i85vo7	288	17	-	-	PUNCT
cord-186927-b8i85vo7	288	18	best	good	ADJ
cord-186927-b8i85vo7	288	19	case	case	NOUN
cord-186927-b8i85vo7	288	20	.	.	PUNCT
cord-186927-b8i85vo7	289	1	this	this	PRON
cord-186927-b8i85vo7	289	2	is	be	AUX
cord-186927-b8i85vo7	289	3	the	the	DET
cord-186927-b8i85vo7	289	4	bestpossible	bestpossible	ADJ
cord-186927-b8i85vo7	289	5	scenario	scenario	NOUN
cord-186927-b8i85vo7	289	6	where	where	SCONJ
cord-186927-b8i85vo7	289	7	the	the	DET
cord-186927-b8i85vo7	289	8	government	government	NOUN
cord-186927-b8i85vo7	289	9	can	can	AUX
cord-186927-b8i85vo7	289	10	enforce	enforce	VERB
cord-186927-b8i85vo7	289	11	whichever	whichever	DET
cord-186927-b8i85vo7	289	12	interaction	interaction	NOUN
cord-186927-b8i85vo7	289	13	rate	rate	NOUN
cord-186927-b8i85vo7	289	14	β	β	NOUN
cord-186927-b8i85vo7	289	15	∈	∈	PROPN
cord-186927-b8i85vo7	289	16	b	b	PROPN
cord-186927-b8i85vo7	289	17	it	it	PRON
cord-186927-b8i85vo7	289	18	desires	desire	VERB
cord-186927-b8i85vo7	289	19	,	,	PUNCT
cord-186927-b8i85vo7	289	20	and	and	CCONJ
cord-186927-b8i85vo7	289	21	simply	simply	ADV
cord-186927-b8i85vo7	289	22	has	have	VERB
cord-186927-b8i85vo7	289	23	to	to	PART
cord-186927-b8i85vo7	289	24	satisfy	satisfy	VERB
cord-186927-b8i85vo7	289	25	the	the	DET
cord-186927-b8i85vo7	289	26	participation	participation	NOUN
cord-186927-b8i85vo7	289	27	constraint	constraint	NOUN
cord-186927-b8i85vo7	289	28	of	of	ADP
cord-186927-b8i85vo7	289	29	the	the	DET
cord-186927-b8i85vo7	289	30	population	population	NOUN
cord-186927-b8i85vo7	289	31	.	.	PUNCT
cord-186927-b8i85vo7	290	1	from	from	ADP
cord-186927-b8i85vo7	290	2	the	the	DET
cord-186927-b8i85vo7	290	3	practical	practical	ADJ
cord-186927-b8i85vo7	290	4	point	point	NOUN
cord-186927-b8i85vo7	290	5	of	of	ADP
cord-186927-b8i85vo7	290	6	view	view	NOUN
cord-186927-b8i85vo7	290	7	,	,	PUNCT
cord-186927-b8i85vo7	290	8	this	this	PRON
cord-186927-b8i85vo7	290	9	could	could	AUX
cord-186927-b8i85vo7	290	10	correspond	correspond	VERB
cord-186927-b8i85vo7	290	11	to	to	ADP
cord-186927-b8i85vo7	290	12	a	a	DET
cord-186927-b8i85vo7	290	13	situation	situation	NOUN
cord-186927-b8i85vo7	290	14	where	where	SCONJ
cord-186927-b8i85vo7	290	15	the	the	DET
cord-186927-b8i85vo7	290	16	government	government	NOUN
cord-186927-b8i85vo7	290	17	would	would	AUX
cord-186927-b8i85vo7	290	18	be	be	AUX
cord-186927-b8i85vo7	290	19	able	able	ADJ
cord-186927-b8i85vo7	290	20	to	to	PART
cord-186927-b8i85vo7	290	21	track	track	VERB
cord-186927-b8i85vo7	290	22	every	every	DET
cord-186927-b8i85vo7	290	23	individual	individual	NOUN
cord-186927-b8i85vo7	290	24	and	and	CCONJ
cord-186927-b8i85vo7	290	25	force	force	VERB
cord-186927-b8i85vo7	290	26	them	they	PRON
cord-186927-b8i85vo7	290	27	to	to	PART
cord-186927-b8i85vo7	290	28	stop	stop	VERB
cord-186927-b8i85vo7	290	29	interacting	interact	VERB
cord-186927-b8i85vo7	290	30	.	.	PUNCT
cord-186927-b8i85vo7	291	1	the	the	DET
cord-186927-b8i85vo7	291	2	problem	problem	NOUN
cord-186927-b8i85vo7	291	3	faced	face	VERB
cord-186927-b8i85vo7	291	4	by	by	ADP
cord-186927-b8i85vo7	291	5	the	the	DET
cord-186927-b8i85vo7	291	6	government	government	NOUN
cord-186927-b8i85vo7	291	7	is	be	AUX
cord-186927-b8i85vo7	291	8	then	then	ADV
cord-186927-b8i85vo7	291	9	in	in	ADP
cord-186927-b8i85vo7	291	10	this	this	DET
cord-186927-b8i85vo7	291	11	section	section	NOUN
cord-186927-b8i85vo7	291	12	,	,	PUNCT
cord-186927-b8i85vo7	291	13	we	we	PRON
cord-186927-b8i85vo7	291	14	present	present	VERB
cord-186927-b8i85vo7	291	15	the	the	DET
cord-186927-b8i85vo7	291	16	main	main	ADJ
cord-186927-b8i85vo7	291	17	theoretical	theoretical	ADJ
cord-186927-b8i85vo7	291	18	results	result	NOUN
cord-186927-b8i85vo7	291	19	obtained	obtain	VERB
cord-186927-b8i85vo7	291	20	when	when	SCONJ
cord-186927-b8i85vo7	291	21	the	the	DET
cord-186927-b8i85vo7	291	22	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	291	23	of	of	ADP
cord-186927-b8i85vo7	291	24	the	the	DET
cord-186927-b8i85vo7	291	25	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	291	26	is	be	AUX
cord-186927-b8i85vo7	291	27	given	give	VERB
cord-186927-b8i85vo7	291	28	by	by	ADP
cord-186927-b8i85vo7	291	29	(	(	PUNCT
cord-186927-b8i85vo7	291	30	2.5	2.5	NUM
cord-186927-b8i85vo7	291	31	)	)	PUNCT
cord-186927-b8i85vo7	291	32	.	.	PUNCT
cord-186927-b8i85vo7	292	1	recall	recall	VERB
cord-186927-b8i85vo7	292	2	that	that	SCONJ
cord-186927-b8i85vo7	292	3	,	,	PUNCT
cord-186927-b8i85vo7	292	4	in	in	ADP
cord-186927-b8i85vo7	292	5	order	order	NOUN
cord-186927-b8i85vo7	292	6	to	to	PART
cord-186927-b8i85vo7	292	7	consider	consider	VERB
cord-186927-b8i85vo7	292	8	the	the	DET
cord-186927-b8i85vo7	292	9	sis	sis	NOUN
cord-186927-b8i85vo7	292	10	or	or	CCONJ
cord-186927-b8i85vo7	292	11	the	the	DET
cord-186927-b8i85vo7	292	12	sir	sir	PROPN
cord-186927-b8i85vo7	292	13	model	model	NOUN
cord-186927-b8i85vo7	292	14	,	,	PUNCT
cord-186927-b8i85vo7	292	15	one	one	PRON
cord-186927-b8i85vo7	292	16	has	have	VERB
cord-186927-b8i85vo7	292	17	to	to	PART
cord-186927-b8i85vo7	292	18	set	set	VERB
cord-186927-b8i85vo7	292	19	respectively	respectively	ADV
cord-186927-b8i85vo7	292	20	ρ	ρ	PROPN
cord-186927-b8i85vo7	292	21	=	=	NOUN
cord-186927-b8i85vo7	292	22	0	0	NUM
cord-186927-b8i85vo7	292	23	or	or	CCONJ
cord-186927-b8i85vo7	292	24	ν	ν	NOUN
cord-186927-b8i85vo7	292	25	=	=	NOUN
cord-186927-b8i85vo7	292	26	0	0	NUM
cord-186927-b8i85vo7	292	27	.	.	PUNCT
cord-186927-b8i85vo7	293	1	as	as	SCONJ
cord-186927-b8i85vo7	293	2	mentioned	mention	VERB
cord-186927-b8i85vo7	293	3	in	in	ADP
cord-186927-b8i85vo7	293	4	section	section	NOUN
cord-186927-b8i85vo7	293	5	2.3.2	2.3.2	NUM
cord-186927-b8i85vo7	293	6	,	,	PUNCT
cord-186927-b8i85vo7	293	7	the	the	DET
cord-186927-b8i85vo7	293	8	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	293	9	problem	problem	NOUN
cord-186927-b8i85vo7	293	10	is	be	AUX
cord-186927-b8i85vo7	293	11	a	a	DET
cord-186927-b8i85vo7	293	12	standard	standard	ADJ
cord-186927-b8i85vo7	293	13	markovian	markovian	ADJ
cord-186927-b8i85vo7	293	14	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	293	15	control	control	NOUN
cord-186927-b8i85vo7	293	16	problem	problem	NOUN
cord-186927-b8i85vo7	293	17	,	,	PUNCT
cord-186927-b8i85vo7	293	18	whose	whose	DET
cord-186927-b8i85vo7	293	19	we	we	PRON
cord-186927-b8i85vo7	293	20	then	then	ADV
cord-186927-b8i85vo7	293	21	have	have	VERB
cord-186927-b8i85vo7	293	22	the	the	DET
cord-186927-b8i85vo7	293	23	natural	natural	ADJ
cord-186927-b8i85vo7	293	24	identification	identification	NOUN
cord-186927-b8i85vo7	293	25	where	where	SCONJ
cord-186927-b8i85vo7	293	26	v	v	NOUN
cord-186927-b8i85vo7	293	27	solves	solve	VERB
cord-186927-b8i85vo7	293	28	the	the	DET
cord-186927-b8i85vo7	293	29	associated	associated	PROPN
cord-186927-b8i85vo7	293	30	hamilton	hamilton	PROPN
cord-186927-b8i85vo7	293	31	-	-	PUNCT
cord-186927-b8i85vo7	293	32	jacobi	jacobi	PROPN
cord-186927-b8i85vo7	293	33	-	-	PUNCT
cord-186927-b8i85vo7	293	34	bellman	bellman	PROPN
cord-186927-b8i85vo7	293	35	(	(	PUNCT
cord-186927-b8i85vo7	293	36	hjb	hjb	PROPN
cord-186927-b8i85vo7	293	37	for	for	ADP
cord-186927-b8i85vo7	293	38	short	short	ADJ
cord-186927-b8i85vo7	293	39	)	)	PUNCT
cord-186927-b8i85vo7	293	40	equation	equation	NOUN
cord-186927-b8i85vo7	293	41	for	for	ADP
cord-186927-b8i85vo7	293	42	a	a	DET
cord-186927-b8i85vo7	293	43	particular	particular	ADJ
cord-186927-b8i85vo7	293	44	function	function	NOUN
cord-186927-b8i85vo7	293	45	f	f	X
cord-186927-b8i85vo7	293	46	defined	define	VERB
cord-186927-b8i85vo7	293	47	by	by	ADP
cord-186927-b8i85vo7	293	48	(	(	PUNCT
cord-186927-b8i85vo7	293	49	4.4	4.4	NUM
cord-186927-b8i85vo7	293	50	)	)	PUNCT
cord-186927-b8i85vo7	293	51	in	in	ADP
cord-186927-b8i85vo7	293	52	section	section	NOUN
cord-186927-b8i85vo7	293	53	4.1	4.1	NUM
cord-186927-b8i85vo7	293	54	.	.	PUNCT
cord-186927-b8i85vo7	294	1	note	note	VERB
cord-186927-b8i85vo7	294	2	that	that	SCONJ
cord-186927-b8i85vo7	294	3	if	if	SCONJ
cord-186927-b8i85vo7	294	4	we	we	PRON
cord-186927-b8i85vo7	294	5	consider	consider	VERB
cord-186927-b8i85vo7	294	6	separable	separable	ADJ
cord-186927-b8i85vo7	294	7	utilities	utility	NOUN
cord-186927-b8i85vo7	294	8	with	with	ADP
cord-186927-b8i85vo7	294	9	the	the	DET
cord-186927-b8i85vo7	294	10	form	form	NOUN
cord-186927-b8i85vo7	294	11	in	in	ADP
cord-186927-b8i85vo7	294	12	particular	particular	ADJ
cord-186927-b8i85vo7	294	13	,	,	PUNCT
cord-186927-b8i85vo7	294	14	the	the	DET
cord-186927-b8i85vo7	294	15	optimal	optimal	ADJ
cord-186927-b8i85vo7	294	16	interaction	interaction	NOUN
cord-186927-b8i85vo7	294	17	rate	rate	NOUN
cord-186927-b8i85vo7	294	18	is	be	AUX
cord-186927-b8i85vo7	294	19	given	give	VERB
cord-186927-b8i85vo7	294	20	by	by	ADP
cord-186927-b8i85vo7	294	21	to	to	PART
cord-186927-b8i85vo7	294	22	find	find	VERB
cord-186927-b8i85vo7	294	23	the	the	DET
cord-186927-b8i85vo7	294	24	optimal	optimal	ADJ
cord-186927-b8i85vo7	294	25	interaction	interaction	NOUN
cord-186927-b8i85vo7	294	26	rate	rate	NOUN
cord-186927-b8i85vo7	294	27	β	β	NOUN
cord-186927-b8i85vo7	294	28	∈	∈	PROPN
cord-186927-b8i85vo7	294	29	b	b	PROPN
cord-186927-b8i85vo7	294	30	,	,	PUNCT
cord-186927-b8i85vo7	294	31	as	as	ADV
cord-186927-b8i85vo7	294	32	well	well	ADV
cord-186927-b8i85vo7	294	33	as	as	ADP
cord-186927-b8i85vo7	294	34	the	the	DET
cord-186927-b8i85vo7	294	35	optimal	optimal	ADJ
cord-186927-b8i85vo7	294	36	contract	contract	NOUN
cord-186927-b8i85vo7	294	37	(	(	PUNCT
cord-186927-b8i85vo7	294	38	α	α	PROPN
cord-186927-b8i85vo7	294	39	,	,	PUNCT
cord-186927-b8i85vo7	294	40	χ	χ	X
cord-186927-b8i85vo7	294	41	)	)	PUNCT
cord-186927-b8i85vo7	294	42	∈	∈	NOUN
cord-186927-b8i85vo7	295	1	a	a	DET
cord-186927-b8i85vo7	295	2	×	×	PROPN
cord-186927-b8i85vo7	295	3	c	c	NOUN
cord-186927-b8i85vo7	295	4	,	,	PUNCT
cord-186927-b8i85vo7	295	5	in	in	ADP
cord-186927-b8i85vo7	295	6	the	the	DET
cord-186927-b8i85vo7	295	7	first	first	ADV
cord-186927-b8i85vo7	295	8	-	-	PUNCT
cord-186927-b8i85vo7	295	9	best	good	ADJ
cord-186927-b8i85vo7	295	10	case	case	NOUN
cord-186927-b8i85vo7	295	11	,	,	PUNCT
cord-186927-b8i85vo7	295	12	one	one	PRON
cord-186927-b8i85vo7	295	13	has	have	VERB
cord-186927-b8i85vo7	295	14	to	to	PART
cord-186927-b8i85vo7	295	15	solve	solve	VERB
cord-186927-b8i85vo7	295	16	the	the	DET
cord-186927-b8i85vo7	295	17	government	government	NOUN
cord-186927-b8i85vo7	295	18	's	's	PART
cord-186927-b8i85vo7	295	19	problem	problem	NOUN
cord-186927-b8i85vo7	295	20	defined	define	VERB
cord-186927-b8i85vo7	295	21	by	by	ADP
cord-186927-b8i85vo7	295	22	(	(	PUNCT
cord-186927-b8i85vo7	295	23	2.14	2.14	NUM
cord-186927-b8i85vo7	295	24	)	)	PUNCT
cord-186927-b8i85vo7	295	25	.	.	PUNCT
cord-186927-b8i85vo7	296	1	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	296	2	details	detail	NOUN
cord-186927-b8i85vo7	296	3	are	be	AUX
cord-186927-b8i85vo7	296	4	postponed	postpone	VERB
cord-186927-b8i85vo7	296	5	to	to	ADP
cord-186927-b8i85vo7	296	6	section	section	NOUN
cord-186927-b8i85vo7	296	7	4.3.3	4.3.3	NUM
cord-186927-b8i85vo7	296	8	,	,	PUNCT
cord-186927-b8i85vo7	296	9	but	but	CCONJ
cord-186927-b8i85vo7	296	10	we	we	PRON
cord-186927-b8i85vo7	296	11	present	present	VERB
cord-186927-b8i85vo7	296	12	here	here	ADV
cord-186927-b8i85vo7	296	13	an	an	DET
cord-186927-b8i85vo7	296	14	overview	overview	NOUN
cord-186927-b8i85vo7	296	15	of	of	ADP
cord-186927-b8i85vo7	296	16	the	the	DET
cord-186927-b8i85vo7	296	17	main	main	ADJ
cord-186927-b8i85vo7	296	18	results	result	NOUN
cord-186927-b8i85vo7	296	19	.	.	PUNCT
cord-186927-b8i85vo7	297	1	to	to	PART
cord-186927-b8i85vo7	297	2	take	take	VERB
cord-186927-b8i85vo7	297	3	into	into	ADP
cord-186927-b8i85vo7	297	4	account	account	NOUN
cord-186927-b8i85vo7	297	5	the	the	DET
cord-186927-b8i85vo7	297	6	inequality	inequality	NOUN
cord-186927-b8i85vo7	297	7	constraint	constraint	NOUN
cord-186927-b8i85vo7	297	8	in	in	ADP
cord-186927-b8i85vo7	297	9	the	the	DET
cord-186927-b8i85vo7	297	10	definition	definition	NOUN
cord-186927-b8i85vo7	297	11	of	of	ADP
cord-186927-b8i85vo7	297	12	v	v	NOUN
cord-186927-b8i85vo7	297	13	p	p	NOUN
cord-186927-b8i85vo7	297	14	,	,	PUNCT
cord-186927-b8i85vo7	297	15	fb	fb	PROPN
cord-186927-b8i85vo7	297	16	0	0	NUM
cord-186927-b8i85vo7	297	17	,	,	PUNCT
cord-186927-b8i85vo7	297	18	one	one	PRON
cord-186927-b8i85vo7	297	19	has	have	VERB
cord-186927-b8i85vo7	297	20	to	to	PART
cord-186927-b8i85vo7	297	21	introduce	introduce	VERB
cord-186927-b8i85vo7	297	22	the	the	DET
cord-186927-b8i85vo7	297	23	associated	associate	VERB
cord-186927-b8i85vo7	297	24	lagrangian	lagrangian	PROPN
cord-186927-b8i85vo7	297	25	.	.	PUNCT
cord-186927-b8i85vo7	298	1	given	give	VERB
cord-186927-b8i85vo7	298	2	a	a	DET
cord-186927-b8i85vo7	298	3	lagrange	lagrange	NOUN
cord-186927-b8i85vo7	298	4	multiplier	multipli	ADJ
cord-186927-b8i85vo7	298	5	>	>	X
cord-186927-b8i85vo7	298	6	0	0	NUM
cord-186927-b8i85vo7	298	7	,	,	PUNCT
cord-186927-b8i85vo7	298	8	we	we	PRON
cord-186927-b8i85vo7	298	9	first	first	ADV
cord-186927-b8i85vo7	298	10	remark	remark	VERB
cord-186927-b8i85vo7	298	11	that	that	SCONJ
cord-186927-b8i85vo7	298	12	the	the	DET
cord-186927-b8i85vo7	298	13	optimal	optimal	ADJ
cord-186927-b8i85vo7	298	14	tax	tax	NOUN
cord-186927-b8i85vo7	298	15	is	be	AUX
cord-186927-b8i85vo7	298	16	constant	constant	ADJ
cord-186927-b8i85vo7	298	17	and	and	CCONJ
cord-186927-b8i85vo7	298	18	given	give	VERB
cord-186927-b8i85vo7	298	19	by	by	ADP
cord-186927-b8i85vo7	298	20	then	then	ADV
cord-186927-b8i85vo7	298	21	,	,	PUNCT
cord-186927-b8i85vo7	298	22	defining	define	VERB
cord-186927-b8i85vo7	298	23	for	for	ADP
cord-186927-b8i85vo7	298	24	any	any	DET
cord-186927-b8i85vo7	298	25	>	>	X
cord-186927-b8i85vo7	298	26	0	0	NUM
cord-186927-b8i85vo7	298	27	we	we	PRON
cord-186927-b8i85vo7	298	28	have	have	AUX
cord-186927-b8i85vo7	298	29	note	note	VERB
cord-186927-b8i85vo7	298	30	that	that	SCONJ
cord-186927-b8i85vo7	298	31	v	v	NOUN
cord-186927-b8i85vo7	298	32	0	0	NUM
cord-186927-b8i85vo7	298	33	(	(	PUNCT
cord-186927-b8i85vo7	298	34	)	)	PUNCT
cord-186927-b8i85vo7	298	35	is	be	AUX
cord-186927-b8i85vo7	298	36	the	the	DET
cord-186927-b8i85vo7	298	37	value	value	NOUN
cord-186927-b8i85vo7	298	38	function	function	NOUN
cord-186927-b8i85vo7	298	39	of	of	ADP
cord-186927-b8i85vo7	298	40	a	a	DET
cord-186927-b8i85vo7	298	41	standard	standard	ADJ
cord-186927-b8i85vo7	298	42	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	298	43	control	control	NOUN
cord-186927-b8i85vo7	298	44	problem	problem	NOUN
cord-186927-b8i85vo7	298	45	,	,	PUNCT
cord-186927-b8i85vo7	298	46	and	and	CCONJ
cord-186927-b8i85vo7	298	47	therefore	therefore	ADV
cord-186927-b8i85vo7	298	48	we	we	PRON
cord-186927-b8i85vo7	298	49	expect	expect	VERB
cord-186927-b8i85vo7	298	50	to	to	PART
cord-186927-b8i85vo7	298	51	have	have	VERB
cord-186927-b8i85vo7	298	52	in	in	ADP
cord-186927-b8i85vo7	298	53	particular	particular	ADJ
cord-186927-b8i85vo7	298	54	,	,	PUNCT
cord-186927-b8i85vo7	298	55	if	if	SCONJ
cord-186927-b8i85vo7	298	56	we	we	PRON
cord-186927-b8i85vo7	298	57	consider	consider	VERB
cord-186927-b8i85vo7	298	58	separable	separable	ADJ
cord-186927-b8i85vo7	298	59	utilities	utility	NOUN
cord-186927-b8i85vo7	298	60	with	with	ADP
cord-186927-b8i85vo7	298	61	the	the	DET
cord-186927-b8i85vo7	298	62	forms	form	NOUN
cord-186927-b8i85vo7	298	63	(	(	PUNCT
cord-186927-b8i85vo7	298	64	2.17	2.17	NUM
cord-186927-b8i85vo7	298	65	)	)	PUNCT
cord-186927-b8i85vo7	298	66	,	,	PUNCT
cord-186927-b8i85vo7	298	67	for	for	ADP
cord-186927-b8i85vo7	298	68	a	a	DET
cord-186927-b8i85vo7	298	69	given	give	VERB
cord-186927-b8i85vo7	298	70	testing	testing	NOUN
cord-186927-b8i85vo7	298	71	policy	policy	NOUN
cord-186927-b8i85vo7	298	72	α	α	X
cord-186927-b8i85vo7	298	73	∈	∈	PROPN
cord-186927-b8i85vo7	298	74	a	a	PRON
cord-186927-b8i85vo7	298	75	and	and	CCONJ
cord-186927-b8i85vo7	298	76	a	a	DET
cord-186927-b8i85vo7	298	77	lagrange	lagrange	NOUN
cord-186927-b8i85vo7	298	78	multiplier	multipli	ADJ
cord-186927-b8i85vo7	298	79	>	>	X
cord-186927-b8i85vo7	298	80	0	0	NUM
cord-186927-b8i85vo7	298	81	,	,	PUNCT
cord-186927-b8i85vo7	298	82	the	the	DET
cord-186927-b8i85vo7	298	83	optimal	optimal	ADJ
cord-186927-b8i85vo7	298	84	interaction	interaction	NOUN
cord-186927-b8i85vo7	298	85	rate	rate	NOUN
cord-186927-b8i85vo7	298	86	is	be	AUX
cord-186927-b8i85vo7	298	87	given	give	VERB
cord-186927-b8i85vo7	298	88	for	for	ADP
cord-186927-b8i85vo7	298	89	all	all	DET
cord-186927-b8i85vo7	298	90	t	t	NOUN
cord-186927-b8i85vo7	298	91	recalling	recall	VERB
cord-186927-b8i85vo7	298	92	that	that	DET
cord-186927-b8i85vo7	298	93	b	b	PROPN
cord-186927-b8i85vo7	298	94	•	•	PUNCT
cord-186927-b8i85vo7	298	95	is	be	AUX
cord-186927-b8i85vo7	298	96	defined	define	VERB
cord-186927-b8i85vo7	298	97	by	by	ADP
cord-186927-b8i85vo7	298	98	(	(	PUNCT
cord-186927-b8i85vo7	298	99	2.18	2.18	NUM
cord-186927-b8i85vo7	298	100	)	)	PUNCT
cord-186927-b8i85vo7	298	101	.	.	PUNCT
cord-186927-b8i85vo7	299	1	thanks	thank	NOUN
cord-186927-b8i85vo7	299	2	to	to	ADP
cord-186927-b8i85vo7	299	3	the	the	DET
cord-186927-b8i85vo7	299	4	reasoning	reasoning	NOUN
cord-186927-b8i85vo7	299	5	developed	develop	VERB
cord-186927-b8i85vo7	299	6	in	in	ADP
cord-186927-b8i85vo7	299	7	section	section	NOUN
cord-186927-b8i85vo7	299	8	4	4	NUM
cord-186927-b8i85vo7	299	9	,	,	PUNCT
cord-186927-b8i85vo7	299	10	we	we	PRON
cord-186927-b8i85vo7	299	11	are	be	AUX
cord-186927-b8i85vo7	299	12	able	able	ADJ
cord-186927-b8i85vo7	299	13	to	to	PART
cord-186927-b8i85vo7	299	14	determine	determine	VERB
cord-186927-b8i85vo7	299	15	the	the	DET
cord-186927-b8i85vo7	299	16	optimal	optimal	ADJ
cord-186927-b8i85vo7	299	17	design	design	NOUN
cord-186927-b8i85vo7	299	18	of	of	ADP
cord-186927-b8i85vo7	299	19	the	the	DET
cord-186927-b8i85vo7	299	20	fine	fine	ADJ
cord-186927-b8i85vo7	299	21	policy	policy	NOUN
cord-186927-b8i85vo7	299	22	,	,	PUNCT
cord-186927-b8i85vo7	299	23	the	the	DET
cord-186927-b8i85vo7	299	24	optimal	optimal	ADJ
cord-186927-b8i85vo7	299	25	testing	testing	NOUN
cord-186927-b8i85vo7	299	26	policy	policy	NOUN
cord-186927-b8i85vo7	299	27	,	,	PUNCT
cord-186927-b8i85vo7	299	28	as	as	ADV
cord-186927-b8i85vo7	299	29	well	well	ADV
cord-186927-b8i85vo7	299	30	as	as	ADP
cord-186927-b8i85vo7	299	31	the	the	DET
cord-186927-b8i85vo7	299	32	optimal	optimal	ADJ
cord-186927-b8i85vo7	299	33	effort	effort	NOUN
cord-186927-b8i85vo7	299	34	of	of	ADP
cord-186927-b8i85vo7	299	35	the	the	DET
cord-186927-b8i85vo7	299	36	population	population	NOUN
cord-186927-b8i85vo7	299	37	.	.	PUNCT
cord-186927-b8i85vo7	300	1	first	first	ADV
cord-186927-b8i85vo7	300	2	,	,	PUNCT
cord-186927-b8i85vo7	300	3	as	as	SCONJ
cord-186927-b8i85vo7	300	4	informally	informally	ADV
cord-186927-b8i85vo7	300	5	explained	explain	VERB
cord-186927-b8i85vo7	300	6	in	in	ADP
cord-186927-b8i85vo7	300	7	section	section	NOUN
cord-186927-b8i85vo7	300	8	2.3.3	2.3.3	NUM
cord-186927-b8i85vo7	300	9	,	,	PUNCT
cord-186927-b8i85vo7	300	10	to	to	PART
cord-186927-b8i85vo7	300	11	implement	implement	VERB
cord-186927-b8i85vo7	300	12	a	a	DET
cord-186927-b8i85vo7	300	13	tax	tax	NOUN
cord-186927-b8i85vo7	300	14	policy	policy	NOUN
cord-186927-b8i85vo7	300	15	χ	χ	PROPN
cord-186927-b8i85vo7	300	16	∈	∈	PROPN
cord-186927-b8i85vo7	300	17	c	c	PROPN
cord-186927-b8i85vo7	300	18	,	,	PUNCT
cord-186927-b8i85vo7	300	19	the	the	DET
cord-186927-b8i85vo7	300	20	government	government	NOUN
cord-186927-b8i85vo7	300	21	only	only	ADV
cord-186927-b8i85vo7	300	22	needs	need	VERB
cord-186927-b8i85vo7	300	23	to	to	PART
cord-186927-b8i85vo7	300	24	choose	choose	VERB
cord-186927-b8i85vo7	300	25	a	a	DET
cord-186927-b8i85vo7	300	26	constant	constant	ADJ
cord-186927-b8i85vo7	300	27	y	y	PROPN
cord-186927-b8i85vo7	300	28	0	0	NUM
cord-186927-b8i85vo7	300	29	and	and	CCONJ
cord-186927-b8i85vo7	300	30	a	a	DET
cord-186927-b8i85vo7	300	31	process	process	NOUN
cord-186927-b8i85vo7	300	32	z.	z.	X
cord-186927-b8i85vo7	300	33	given	give	VERB
cord-186927-b8i85vo7	300	34	these	these	DET
cord-186927-b8i85vo7	300	35	two	two	NUM
cord-186927-b8i85vo7	300	36	parameters	parameter	NOUN
cord-186927-b8i85vo7	300	37	,	,	PUNCT
cord-186927-b8i85vo7	300	38	we	we	PRON
cord-186927-b8i85vo7	300	39	can	can	AUX
cord-186927-b8i85vo7	300	40	state	state	VERB
cord-186927-b8i85vo7	300	41	that	that	SCONJ
cord-186927-b8i85vo7	300	42	the	the	DET
cord-186927-b8i85vo7	300	43	optimal	optimal	ADJ
cord-186927-b8i85vo7	300	44	contact	contact	NOUN
cord-186927-b8i85vo7	300	45	rate	rate	NOUN
cord-186927-b8i85vo7	300	46	for	for	ADP
cord-186927-b8i85vo7	300	47	the	the	DET
cord-186927-b8i85vo7	300	48	population	population	NOUN
cord-186927-b8i85vo7	300	49	is	be	AUX
cord-186927-b8i85vo7	300	50	defined	define	VERB
cord-186927-b8i85vo7	300	51	by	by	ADP
cord-186927-b8i85vo7	300	52	it	it	PRON
cord-186927-b8i85vo7	300	53	thus	thus	ADV
cord-186927-b8i85vo7	300	54	remains	remain	VERB
cord-186927-b8i85vo7	300	55	to	to	PART
cord-186927-b8i85vo7	300	56	solve	solve	VERB
cord-186927-b8i85vo7	300	57	the	the	DET
cord-186927-b8i85vo7	300	58	government	government	NOUN
cord-186927-b8i85vo7	300	59	's	's	PART
cord-186927-b8i85vo7	300	60	problem	problem	NOUN
cord-186927-b8i85vo7	300	61	in	in	ADP
cord-186927-b8i85vo7	300	62	order	order	NOUN
cord-186927-b8i85vo7	300	63	to	to	PART
cord-186927-b8i85vo7	300	64	determine	determine	VERB
cord-186927-b8i85vo7	300	65	the	the	DET
cord-186927-b8i85vo7	300	66	optimal	optimal	ADJ
cord-186927-b8i85vo7	300	67	choice	choice	NOUN
cord-186927-b8i85vo7	300	68	of	of	ADP
cord-186927-b8i85vo7	300	69	y	y	PROPN
cord-186927-b8i85vo7	300	70	0	0	PROPN
cord-186927-b8i85vo7	300	71	and	and	CCONJ
cord-186927-b8i85vo7	300	72	z.	z.	PROPN
cord-186927-b8i85vo7	301	1	the	the	DET
cord-186927-b8i85vo7	301	2	reader	reader	NOUN
cord-186927-b8i85vo7	301	3	is	be	AUX
cord-186927-b8i85vo7	301	4	referred	refer	VERB
cord-186927-b8i85vo7	301	5	to	to	ADP
cord-186927-b8i85vo7	301	6	section	section	NOUN
cord-186927-b8i85vo7	301	7	4.3	4.3	NUM
cord-186927-b8i85vo7	301	8	for	for	ADP
cord-186927-b8i85vo7	301	9	the	the	DET
cord-186927-b8i85vo7	301	10	rigorous	rigorous	ADJ
cord-186927-b8i85vo7	301	11	government	government	NOUN
cord-186927-b8i85vo7	301	12	's	's	PART
cord-186927-b8i85vo7	301	13	problem	problem	NOUN
cord-186927-b8i85vo7	301	14	,	,	PUNCT
cord-186927-b8i85vo7	301	15	but	but	CCONJ
cord-186927-b8i85vo7	301	16	,	,	PUNCT
cord-186927-b8i85vo7	301	17	to	to	PART
cord-186927-b8i85vo7	301	18	summarise	summarise	VERB
cord-186927-b8i85vo7	301	19	the	the	DET
cord-186927-b8i85vo7	301	20	results	result	NOUN
cord-186927-b8i85vo7	301	21	,	,	PUNCT
cord-186927-b8i85vo7	301	22	the	the	DET
cord-186927-b8i85vo7	301	23	optimal	optimal	ADJ
cord-186927-b8i85vo7	301	24	process	process	NOUN
cord-186927-b8i85vo7	301	25	z	z	PROPN
cord-186927-b8i85vo7	301	26	as	as	ADV
cord-186927-b8i85vo7	301	27	well	well	ADV
cord-186927-b8i85vo7	301	28	as	as	ADP
cord-186927-b8i85vo7	301	29	the	the	DET
cord-186927-b8i85vo7	301	30	optimal	optimal	ADJ
cord-186927-b8i85vo7	301	31	testing	testing	NOUN
cord-186927-b8i85vo7	301	32	policy	policy	NOUN
cord-186927-b8i85vo7	301	33	α	α	PRON
cord-186927-b8i85vo7	301	34	are	be	AUX
cord-186927-b8i85vo7	301	35	determined	determine	VERB
cord-186927-b8i85vo7	301	36	so	so	SCONJ
cord-186927-b8i85vo7	301	37	as	as	SCONJ
cord-186927-b8i85vo7	301	38	to	to	PART
cord-186927-b8i85vo7	301	39	maximise	maximise	VERB
cord-186927-b8i85vo7	301	40	the	the	DET
cord-186927-b8i85vo7	301	41	government	government	NOUN
cord-186927-b8i85vo7	301	42	's	's	PART
cord-186927-b8i85vo7	301	43	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	301	44	,	,	PUNCT
cord-186927-b8i85vo7	301	45	given	give	VERB
cord-186927-b8i85vo7	301	46	by	by	ADP
cord-186927-b8i85vo7	301	47	finally	finally	ADV
cord-186927-b8i85vo7	301	48	,	,	PUNCT
cord-186927-b8i85vo7	301	49	it	it	PRON
cord-186927-b8i85vo7	301	50	remains	remain	VERB
cord-186927-b8i85vo7	301	51	to	to	PART
cord-186927-b8i85vo7	301	52	solve	solve	VERB
cord-186927-b8i85vo7	301	53	numerically	numerically	ADV
cord-186927-b8i85vo7	301	54	the	the	DET
cord-186927-b8i85vo7	301	55	following	follow	VERB
cord-186927-b8i85vo7	301	56	hjb	hjb	PROPN
cord-186927-b8i85vo7	301	57	equation	equation	PROPN
cord-186927-b8i85vo7	301	58	,	,	PUNCT
cord-186927-b8i85vo7	301	59	for	for	ADP
cord-186927-b8i85vo7	301	60	all	all	DET
cord-186927-b8i85vo7	301	61	t	t	NOUN
cord-186927-b8i85vo7	301	62	∈	∈	NOUN
cord-186927-b8i85vo7	301	63	[	[	X
cord-186927-b8i85vo7	301	64	0	0	NUM
cord-186927-b8i85vo7	301	65	,	,	PUNCT
cord-186927-b8i85vo7	301	66	t	t	NOUN
cord-186927-b8i85vo7	301	67	]	]	PUNCT
cord-186927-b8i85vo7	301	68	and	and	CCONJ
cord-186927-b8i85vo7	301	69	x	x	X
cord-186927-b8i85vo7	301	70	:	:	PUNCT
cord-186927-b8i85vo7	301	71	where	where	SCONJ
cord-186927-b8i85vo7	301	72	the	the	DET
cord-186927-b8i85vo7	301	73	natural	natural	ADJ
cord-186927-b8i85vo7	301	74	domain	domain	NOUN
cord-186927-b8i85vo7	301	75	over	over	ADP
cord-186927-b8i85vo7	301	76	which	which	PRON
cord-186927-b8i85vo7	301	77	the	the	DET
cord-186927-b8i85vo7	301	78	above	above	ADJ
cord-186927-b8i85vo7	301	79	pde	pde	NOUN
cord-186927-b8i85vo7	301	80	must	must	AUX
cord-186927-b8i85vo7	301	81	be	be	AUX
cord-186927-b8i85vo7	301	82	solved	solve	VERB
cord-186927-b8i85vo7	301	83	is	be	AUX
cord-186927-b8i85vo7	301	84	the	the	DET
cord-186927-b8i85vo7	301	85	results	result	NOUN
cord-186927-b8i85vo7	301	86	presented	present	VERB
cord-186927-b8i85vo7	301	87	in	in	ADP
cord-186927-b8i85vo7	301	88	section	section	NOUN
cord-186927-b8i85vo7	301	89	2.4	2.4	NUM
cord-186927-b8i85vo7	301	90	are	be	AUX
cord-186927-b8i85vo7	301	91	quite	quite	ADV
cord-186927-b8i85vo7	301	92	theoretical	theoretical	ADJ
cord-186927-b8i85vo7	301	93	:	:	PUNCT
cord-186927-b8i85vo7	301	94	except	except	SCONJ
cord-186927-b8i85vo7	301	95	for	for	ADP
cord-186927-b8i85vo7	301	96	the	the	DET
cord-186927-b8i85vo7	301	97	optimal	optimal	ADJ
cord-186927-b8i85vo7	301	98	transmission	transmission	NOUN
cord-186927-b8i85vo7	301	99	rate	rate	NOUN
cord-186927-b8i85vo7	301	100	,	,	PUNCT
cord-186927-b8i85vo7	301	101	it	it	PRON
cord-186927-b8i85vo7	301	102	is	be	AUX
cord-186927-b8i85vo7	301	103	complicated	complicated	ADJ
cord-186927-b8i85vo7	301	104	to	to	PART
cord-186927-b8i85vo7	301	105	obtain	obtain	VERB
cord-186927-b8i85vo7	301	106	explicit	explicit	ADJ
cord-186927-b8i85vo7	301	107	formulae	formulae	NOUN
cord-186927-b8i85vo7	301	108	for	for	ADP
cord-186927-b8i85vo7	301	109	the	the	DET
cord-186927-b8i85vo7	301	110	other	other	ADJ
cord-186927-b8i85vo7	301	111	variables	variable	NOUN
cord-186927-b8i85vo7	301	112	sought	seek	VERB
cord-186927-b8i85vo7	301	113	,	,	PUNCT
cord-186927-b8i85vo7	301	114	in	in	ADP
cord-186927-b8i85vo7	301	115	particular	particular	ADJ
cord-186927-b8i85vo7	301	116	for	for	ADP
cord-186927-b8i85vo7	301	117	the	the	DET
cord-186927-b8i85vo7	301	118	optimal	optimal	ADJ
cord-186927-b8i85vo7	301	119	testing	testing	NOUN
cord-186927-b8i85vo7	301	120	policy	policy	NOUN
cord-186927-b8i85vo7	301	121	α	α	PROPN
cord-186927-b8i85vo7	301	122	,	,	PUNCT
cord-186927-b8i85vo7	301	123	even	even	ADV
cord-186927-b8i85vo7	301	124	if	if	SCONJ
cord-186927-b8i85vo7	301	125	we	we	PRON
cord-186927-b8i85vo7	301	126	consider	consider	VERB
cord-186927-b8i85vo7	301	127	separable	separable	ADJ
cord-186927-b8i85vo7	301	128	utility	utility	NOUN
cord-186927-b8i85vo7	301	129	functions	function	NOUN
cord-186927-b8i85vo7	301	130	as	as	ADP
cord-186927-b8i85vo7	301	131	in	in	ADP
cord-186927-b8i85vo7	301	132	(	(	PUNCT
cord-186927-b8i85vo7	301	133	2.17	2.17	NUM
cord-186927-b8i85vo7	301	134	)	)	PUNCT
cord-186927-b8i85vo7	301	135	.	.	PUNCT
cord-186927-b8i85vo7	302	1	it	it	PRON
cord-186927-b8i85vo7	302	2	is	be	AUX
cord-186927-b8i85vo7	302	3	therefore	therefore	ADV
cord-186927-b8i85vo7	302	4	necessary	necessary	ADJ
cord-186927-b8i85vo7	302	5	to	to	PART
cord-186927-b8i85vo7	302	6	perform	perform	VERB
cord-186927-b8i85vo7	302	7	numerical	numerical	ADJ
cord-186927-b8i85vo7	302	8	simulations	simulation	NOUN
cord-186927-b8i85vo7	302	9	to	to	PART
cord-186927-b8i85vo7	302	10	evaluate	evaluate	VERB
cord-186927-b8i85vo7	302	11	the	the	DET
cord-186927-b8i85vo7	302	12	optimal	optimal	ADJ
cord-186927-b8i85vo7	302	13	efforts	effort	NOUN
cord-186927-b8i85vo7	302	14	of	of	ADP
cord-186927-b8i85vo7	302	15	the	the	DET
cord-186927-b8i85vo7	302	16	population	population	NOUN
cord-186927-b8i85vo7	302	17	and	and	CCONJ
cord-186927-b8i85vo7	302	18	the	the	DET
cord-186927-b8i85vo7	302	19	government	government	NOUN
cord-186927-b8i85vo7	302	20	,	,	PUNCT
cord-186927-b8i85vo7	302	21	as	as	ADV
cord-186927-b8i85vo7	302	22	well	well	ADV
cord-186927-b8i85vo7	302	23	as	as	ADP
cord-186927-b8i85vo7	302	24	the	the	DET
cord-186927-b8i85vo7	302	25	optimal	optimal	ADJ
cord-186927-b8i85vo7	302	26	tax	tax	NOUN
cord-186927-b8i85vo7	302	27	policy	policy	NOUN
cord-186927-b8i85vo7	302	28	.	.	PUNCT
cord-186927-b8i85vo7	303	1	given	give	VERB
cord-186927-b8i85vo7	303	2	the	the	DET
cord-186927-b8i85vo7	303	3	similarities	similarity	NOUN
cord-186927-b8i85vo7	303	4	in	in	ADP
cord-186927-b8i85vo7	303	5	the	the	DET
cord-186927-b8i85vo7	303	6	results	result	NOUN
cord-186927-b8i85vo7	303	7	between	between	ADP
cord-186927-b8i85vo7	303	8	the	the	DET
cord-186927-b8i85vo7	303	9	sis	sis	NOUN
cord-186927-b8i85vo7	303	10	and	and	CCONJ
cord-186927-b8i85vo7	303	11	sir	sir	NOUN
cord-186927-b8i85vo7	303	12	models	model	NOUN
cord-186927-b8i85vo7	303	13	,	,	PUNCT
cord-186927-b8i85vo7	303	14	only	only	ADV
cord-186927-b8i85vo7	303	15	those	those	PRON
cord-186927-b8i85vo7	303	16	related	relate	VERB
cord-186927-b8i85vo7	303	17	to	to	ADP
cord-186927-b8i85vo7	303	18	the	the	DET
cord-186927-b8i85vo7	303	19	sir	sir	PROPN
cord-186927-b8i85vo7	303	20	model	model	NOUN
cord-186927-b8i85vo7	303	21	are	be	AUX
cord-186927-b8i85vo7	303	22	presented	present	VERB
cord-186927-b8i85vo7	303	23	in	in	ADP
cord-186927-b8i85vo7	303	24	this	this	DET
cord-186927-b8i85vo7	303	25	section	section	NOUN
cord-186927-b8i85vo7	303	26	.	.	PUNCT
cord-186927-b8i85vo7	304	1	the	the	DET
cord-186927-b8i85vo7	304	2	reader	reader	NOUN
cord-186927-b8i85vo7	304	3	will	will	AUX
cord-186927-b8i85vo7	304	4	find	find	VERB
cord-186927-b8i85vo7	304	5	in	in	ADP
cord-186927-b8i85vo7	304	6	appendix	appendix	NOUN
cord-186927-b8i85vo7	304	7	a	a	DET
cord-186927-b8i85vo7	304	8	the	the	DET
cord-186927-b8i85vo7	304	9	results	result	NOUN
cord-186927-b8i85vo7	304	10	corresponding	correspond	VERB
cord-186927-b8i85vo7	304	11	to	to	ADP
cord-186927-b8i85vo7	304	12	the	the	DET
cord-186927-b8i85vo7	304	13	sis	sis	NOUN
cord-186927-b8i85vo7	304	14	model	model	NOUN
cord-186927-b8i85vo7	304	15	.	.	PUNCT
cord-186927-b8i85vo7	305	1	the	the	DET
cord-186927-b8i85vo7	305	2	following	follow	VERB
cord-186927-b8i85vo7	305	3	numerical	numerical	ADJ
cord-186927-b8i85vo7	305	4	experiments	experiment	NOUN
cord-186927-b8i85vo7	305	5	are	be	AUX
cord-186927-b8i85vo7	305	6	implemented	implement	VERB
cord-186927-b8i85vo7	305	7	using	use	VERB
cord-186927-b8i85vo7	305	8	the	the	DET
cord-186927-b8i85vo7	305	9	utility	utility	NOUN
cord-186927-b8i85vo7	305	10	and	and	CCONJ
cord-186927-b8i85vo7	305	11	cost	cost	NOUN
cord-186927-b8i85vo7	305	12	functions	function	NOUN
cord-186927-b8i85vo7	305	13	respectively	respectively	ADV
cord-186927-b8i85vo7	305	14	mentioned	mention	VERB
cord-186927-b8i85vo7	305	15	in	in	ADP
cord-186927-b8i85vo7	305	16	example	example	NOUN
cord-186927-b8i85vo7	305	17	2.1	2.1	NUM
cord-186927-b8i85vo7	305	18	for	for	ADP
cord-186927-b8i85vo7	305	19	the	the	DET
cord-186927-b8i85vo7	305	20	population	population	NOUN
cord-186927-b8i85vo7	305	21	and	and	CCONJ
cord-186927-b8i85vo7	305	22	in	in	ADP
cord-186927-b8i85vo7	305	23	example	example	NOUN
cord-186927-b8i85vo7	305	24	2.2	2.2	NUM
cord-186927-b8i85vo7	305	25	for	for	ADP
cord-186927-b8i85vo7	305	26	the	the	DET
cord-186927-b8i85vo7	305	27	government	government	NOUN
cord-186927-b8i85vo7	305	28	.	.	PUNCT
cord-186927-b8i85vo7	306	1	to	to	PART
cord-186927-b8i85vo7	306	2	summarise	summarise	VERB
cord-186927-b8i85vo7	306	3	,	,	PUNCT
cord-186927-b8i85vo7	306	4	we	we	PRON
cord-186927-b8i85vo7	306	5	choose	choose	VERB
cord-186927-b8i85vo7	306	6	for	for	ADP
cord-186927-b8i85vo7	306	7	the	the	DET
cord-186927-b8i85vo7	306	8	population	population	NOUN
cord-186927-b8i85vo7	306	9	:	:	PUNCT
cord-186927-b8i85vo7	306	10	table	table	NOUN
cord-186927-b8i85vo7	306	11	1	1	NUM
cord-186927-b8i85vo7	306	12	.	.	PUNCT
cord-186927-b8i85vo7	307	1	in	in	ADP
cord-186927-b8i85vo7	307	2	addition	addition	NOUN
cord-186927-b8i85vo7	307	3	,	,	PUNCT
cord-186927-b8i85vo7	307	4	the	the	DET
cord-186927-b8i85vo7	307	5	set	set	NOUN
cord-186927-b8i85vo7	307	6	of	of	ADP
cord-186927-b8i85vo7	307	7	parameters	parameter	NOUN
cord-186927-b8i85vo7	307	8	used	use	VERB
cord-186927-b8i85vo7	307	9	for	for	ADP
cord-186927-b8i85vo7	307	10	the	the	DET
cord-186927-b8i85vo7	307	11	simulations	simulation	NOUN
cord-186927-b8i85vo7	307	12	of	of	ADP
cord-186927-b8i85vo7	307	13	the	the	DET
cord-186927-b8i85vo7	307	14	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	307	15	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	307	16	given	give	VERB
cord-186927-b8i85vo7	307	17	by	by	ADP
cord-186927-b8i85vo7	307	18	(	(	PUNCT
cord-186927-b8i85vo7	307	19	2.5	2.5	NUM
cord-186927-b8i85vo7	307	20	)	)	PUNCT
cord-186927-b8i85vo7	307	21	are	be	AUX
cord-186927-b8i85vo7	307	22	provided	provide	VERB
cord-186927-b8i85vo7	307	23	in	in	ADP
cord-186927-b8i85vo7	307	24	table	table	NOUN
cord-186927-b8i85vo7	307	25	2	2	NUM
cord-186927-b8i85vo7	307	26	and	and	CCONJ
cord-186927-b8i85vo7	307	27	are	be	AUX
cord-186927-b8i85vo7	307	28	inspired	inspire	VERB
cord-186927-b8i85vo7	307	29	by	by	ADP
cord-186927-b8i85vo7	307	30	those	those	PRON
cord-186927-b8i85vo7	307	31	chosen	choose	VERB
cord-186927-b8i85vo7	307	32	by	by	ADP
cord-186927-b8i85vo7	307	33	élie	élie	PROPN
cord-186927-b8i85vo7	307	34	,	,	PUNCT
cord-186927-b8i85vo7	307	35	hubert	hubert	PROPN
cord-186927-b8i85vo7	307	36	,	,	PUNCT
cord-186927-b8i85vo7	307	37	and	and	CCONJ
cord-186927-b8i85vo7	307	38	turinici	turinici	PROPN
cord-186927-b8i85vo7	308	1	[	[	X
cord-186927-b8i85vo7	308	2	38	38	NUM
cord-186927-b8i85vo7	308	3	]	]	PUNCT
cord-186927-b8i85vo7	308	4	.	.	PUNCT
cord-186927-b8i85vo7	309	1	recall	recall	VERB
cord-186927-b8i85vo7	309	2	that	that	SCONJ
cord-186927-b8i85vo7	309	3	the	the	DET
cord-186927-b8i85vo7	309	4	parameter	parameter	NOUN
cord-186927-b8i85vo7	309	5	β	β	PROPN
cord-186927-b8i85vo7	309	6	denotes	denote	VERB
cord-186927-b8i85vo7	309	7	the	the	DET
cord-186927-b8i85vo7	309	8	usual	usual	ADJ
cord-186927-b8i85vo7	309	9	contact	contact	NOUN
cord-186927-b8i85vo7	309	10	rate	rate	NOUN
cord-186927-b8i85vo7	309	11	within	within	ADP
cord-186927-b8i85vo7	309	12	the	the	DET
cord-186927-b8i85vo7	309	13	population	population	NOUN
cord-186927-b8i85vo7	309	14	,	,	PUNCT
cord-186927-b8i85vo7	309	15	before	before	ADP
cord-186927-b8i85vo7	309	16	the	the	DET
cord-186927-b8i85vo7	309	17	beginning	beginning	NOUN
cord-186927-b8i85vo7	309	18	of	of	ADP
cord-186927-b8i85vo7	309	19	the	the	DET
cord-186927-b8i85vo7	309	20	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	309	21	.	.	PUNCT
cord-186927-b8i85vo7	310	1	in	in	ADP
cord-186927-b8i85vo7	310	2	other	other	ADJ
cord-186927-b8i85vo7	310	3	words	word	NOUN
cord-186927-b8i85vo7	310	4	,	,	PUNCT
cord-186927-b8i85vo7	310	5	β	β	PROPN
cord-186927-b8i85vo7	310	6	represents	represent	VERB
cord-186927-b8i85vo7	310	7	the	the	DET
cord-186927-b8i85vo7	310	8	initial	initial	ADJ
cord-186927-b8i85vo7	310	9	and	and	CCONJ
cord-186927-b8i85vo7	310	10	effective	effective	ADJ
cord-186927-b8i85vo7	310	11	transmission	transmission	NOUN
cord-186927-b8i85vo7	310	12	rate	rate	NOUN
cord-186927-b8i85vo7	310	13	of	of	ADP
cord-186927-b8i85vo7	310	14	the	the	DET
cord-186927-b8i85vo7	310	15	disease	disease	NOUN
cord-186927-b8i85vo7	310	16	,	,	PUNCT
cord-186927-b8i85vo7	310	17	without	without	ADP
cord-186927-b8i85vo7	310	18	any	any	DET
cord-186927-b8i85vo7	310	19	specific	specific	ADJ
cord-186927-b8i85vo7	310	20	effort	effort	NOUN
cord-186927-b8i85vo7	310	21	of	of	ADP
cord-186927-b8i85vo7	310	22	the	the	DET
cord-186927-b8i85vo7	310	23	population	population	NOUN
cord-186927-b8i85vo7	310	24	.	.	PUNCT
cord-186927-b8i85vo7	311	1	the	the	DET
cord-186927-b8i85vo7	311	2	associated	associated	ADJ
cord-186927-b8i85vo7	311	3	reproduction	reproduction	NOUN
cord-186927-b8i85vo7	311	4	number	number	NOUN
cord-186927-b8i85vo7	311	5	r	r	NOUN
cord-186927-b8i85vo7	311	6	0	0	NUM
cord-186927-b8i85vo7	311	7	,	,	PUNCT
cord-186927-b8i85vo7	311	8	commonly	commonly	ADV
cord-186927-b8i85vo7	311	9	defined	define	VERB
cord-186927-b8i85vo7	311	10	by	by	ADP
cord-186927-b8i85vo7	311	11	r	r	NOUN
cord-186927-b8i85vo7	311	12	0	0	NUM
cord-186927-b8i85vo7	311	13	:	:	PUNCT
cord-186927-b8i85vo7	311	14	=	=	NOUN
cord-186927-b8i85vo7	311	15	β/(ν	β/(ν	X
cord-186927-b8i85vo7	311	16	+	+	X
cord-186927-b8i85vo7	311	17	ρ	ρ	NUM
cord-186927-b8i85vo7	311	18	)	)	PUNCT
cord-186927-b8i85vo7	311	19	in	in	ADP
cord-186927-b8i85vo7	311	20	the	the	DET
cord-186927-b8i85vo7	311	21	literature	literature	NOUN
cord-186927-b8i85vo7	311	22	on	on	ADP
cord-186927-b8i85vo7	311	23	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	311	24	models	model	NOUN
cord-186927-b8i85vo7	311	25	,	,	PUNCT
cord-186927-b8i85vo7	311	26	is	be	AUX
cord-186927-b8i85vo7	311	27	equal	equal	ADJ
cord-186927-b8i85vo7	311	28	to	to	ADP
cord-186927-b8i85vo7	311	29	2.0	2.0	NUM
cord-186927-b8i85vo7	311	30	,	,	PUNCT
cord-186927-b8i85vo7	311	31	and	and	CCONJ
cord-186927-b8i85vo7	311	32	is	be	AUX
cord-186927-b8i85vo7	311	33	thus	thus	ADV
cord-186927-b8i85vo7	311	34	in	in	ADP
cord-186927-b8i85vo7	311	35	the	the	DET
cord-186927-b8i85vo7	311	36	confidence	confidence	NOUN
cord-186927-b8i85vo7	311	37	interval	interval	NOUN
cord-186927-b8i85vo7	311	38	of	of	ADP
cord-186927-b8i85vo7	311	39	available	available	ADJ
cord-186927-b8i85vo7	311	40	data	datum	NOUN
cord-186927-b8i85vo7	311	41	,	,	PUNCT
cord-186927-b8i85vo7	311	42	see	see	VERB
cord-186927-b8i85vo7	311	43	for	for	ADP
cord-186927-b8i85vo7	311	44	example	example	NOUN
cord-186927-b8i85vo7	311	45	li	li	PROPN
cord-186927-b8i85vo7	311	46	et	et	PROPN
cord-186927-b8i85vo7	311	47	al	al	PROPN
cord-186927-b8i85vo7	311	48	.	.	PUNCT
cord-186927-b8i85vo7	312	1	[	[	X
cord-186927-b8i85vo7	312	2	70	70	NUM
cord-186927-b8i85vo7	312	3	]	]	PUNCT
cord-186927-b8i85vo7	312	4	.	.	PUNCT
cord-186927-b8i85vo7	313	1	recall	recall	VERB
cord-186927-b8i85vo7	313	2	that	that	SCONJ
cord-186927-b8i85vo7	313	3	the	the	DET
cord-186927-b8i85vo7	313	4	parameters	parameter	NOUN
cord-186927-b8i85vo7	313	5	λ	λ	PROPN
cord-186927-b8i85vo7	313	6	and	and	CCONJ
cord-186927-b8i85vo7	313	7	µ	µ	NOUN
cord-186927-b8i85vo7	313	8	represent	represent	VERB
cord-186927-b8i85vo7	313	9	respectively	respectively	ADV
cord-186927-b8i85vo7	313	10	the	the	DET
cord-186927-b8i85vo7	313	11	birth	birth	NOUN
cord-186927-b8i85vo7	313	12	and	and	CCONJ
cord-186927-b8i85vo7	313	13	(	(	PUNCT
cord-186927-b8i85vo7	313	14	natural	natural	ADJ
cord-186927-b8i85vo7	313	15	)	)	PUNCT
cord-186927-b8i85vo7	313	16	death	death	NOUN
cord-186927-b8i85vo7	313	17	rates	rate	NOUN
cord-186927-b8i85vo7	313	18	among	among	ADP
cord-186927-b8i85vo7	313	19	the	the	DET
cord-186927-b8i85vo7	313	20	population	population	NOUN
cord-186927-b8i85vo7	313	21	,	,	PUNCT
cord-186927-b8i85vo7	313	22	and	and	CCONJ
cord-186927-b8i85vo7	313	23	therefore	therefore	ADV
cord-186927-b8i85vo7	313	24	reflect	reflect	VERB
cord-186927-b8i85vo7	313	25	the	the	DET
cord-186927-b8i85vo7	313	26	demographic	demographic	ADJ
cord-186927-b8i85vo7	313	27	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	313	28	unrelated	unrelated	ADJ
cord-186927-b8i85vo7	313	29	to	to	ADP
cord-186927-b8i85vo7	313	30	the	the	DET
cord-186927-b8i85vo7	313	31	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	313	32	,	,	PUNCT
cord-186927-b8i85vo7	313	33	while	while	SCONJ
cord-186927-b8i85vo7	313	34	γ	γ	PRON
cord-186927-b8i85vo7	313	35	represents	represent	VERB
cord-186927-b8i85vo7	313	36	the	the	DET
cord-186927-b8i85vo7	313	37	death	death	NOUN
cord-186927-b8i85vo7	313	38	rate	rate	NOUN
cord-186927-b8i85vo7	313	39	associated	associate	VERB
cord-186927-b8i85vo7	313	40	to	to	ADP
cord-186927-b8i85vo7	313	41	the	the	DET
cord-186927-b8i85vo7	313	42	disease	disease	NOUN
cord-186927-b8i85vo7	313	43	.	.	PUNCT
cord-186927-b8i85vo7	314	1	to	to	PART
cord-186927-b8i85vo7	314	2	simplify	simplify	VERB
cord-186927-b8i85vo7	314	3	,	,	PUNCT
cord-186927-b8i85vo7	314	4	and	and	CCONJ
cord-186927-b8i85vo7	314	5	since	since	SCONJ
cord-186927-b8i85vo7	314	6	the	the	DET
cord-186927-b8i85vo7	314	7	duration	duration	NOUN
cord-186927-b8i85vo7	314	8	of	of	ADP
cord-186927-b8i85vo7	314	9	the	the	DET
cord-186927-b8i85vo7	314	10	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	314	11	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	314	12	should	should	AUX
cord-186927-b8i85vo7	314	13	be	be	AUX
cord-186927-b8i85vo7	314	14	relatively	relatively	ADV
cord-186927-b8i85vo7	314	15	short	short	ADJ
cord-186927-b8i85vo7	314	16	in	in	ADP
cord-186927-b8i85vo7	314	17	comparison	comparison	NOUN
cord-186927-b8i85vo7	314	18	to	to	ADP
cord-186927-b8i85vo7	314	19	the	the	DET
cord-186927-b8i85vo7	314	20	life	life	NOUN
cord-186927-b8i85vo7	314	21	expectancy	expectancy	NOUN
cord-186927-b8i85vo7	314	22	at	at	ADP
cord-186927-b8i85vo7	314	23	birth	birth	NOUN
cord-186927-b8i85vo7	314	24	,	,	PUNCT
cord-186927-b8i85vo7	314	25	we	we	PRON
cord-186927-b8i85vo7	314	26	choose	choose	VERB
cord-186927-b8i85vo7	314	27	to	to	PART
cord-186927-b8i85vo7	314	28	disregard	disregard	VERB
cord-186927-b8i85vo7	314	29	the	the	DET
cord-186927-b8i85vo7	314	30	demographic	demographic	ADJ
cord-186927-b8i85vo7	314	31	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	314	32	by	by	ADP
cord-186927-b8i85vo7	314	33	setting	set	VERB
cord-186927-b8i85vo7	314	34	λ	λ	PROPN
cord-186927-b8i85vo7	314	35	=	=	X
cord-186927-b8i85vo7	314	36	µ	µ	NOUN
cord-186927-b8i85vo7	314	37	=	=	X
cord-186927-b8i85vo7	314	38	0	0	NUM
cord-186927-b8i85vo7	314	39	.	.	PUNCT
cord-186927-b8i85vo7	315	1	in	in	ADP
cord-186927-b8i85vo7	315	2	contrast	contrast	NOUN
cord-186927-b8i85vo7	315	3	,	,	PUNCT
cord-186927-b8i85vo7	315	4	we	we	PRON
cord-186927-b8i85vo7	315	5	set	set	VERB
cord-186927-b8i85vo7	315	6	γ	γ	X
cord-186927-b8i85vo7	315	7	=	=	SYM
cord-186927-b8i85vo7	315	8	1	1	NUM
cord-186927-b8i85vo7	315	9	%	%	NOUN
cord-186927-b8i85vo7	315	10	,	,	PUNCT
cord-186927-b8i85vo7	315	11	since	since	SCONJ
cord-186927-b8i85vo7	315	12	the	the	DET
cord-186927-b8i85vo7	315	13	mortality	mortality	NOUN
cord-186927-b8i85vo7	315	14	associated	associate	VERB
cord-186927-b8i85vo7	315	15	with	with	ADP
cord-186927-b8i85vo7	315	16	the	the	DET
cord-186927-b8i85vo7	315	17	disease	disease	NOUN
cord-186927-b8i85vo7	315	18	appears	appear	VERB
cord-186927-b8i85vo7	315	19	to	to	PART
cord-186927-b8i85vo7	315	20	be	be	AUX
cord-186927-b8i85vo7	315	21	significant	significant	ADJ
cord-186927-b8i85vo7	315	22	.	.	PUNCT
cord-186927-b8i85vo7	316	1	finally	finally	ADV
cord-186927-b8i85vo7	316	2	,	,	PUNCT
cord-186927-b8i85vo7	316	3	recall	recall	VERB
cord-186927-b8i85vo7	316	4	that	that	SCONJ
cord-186927-b8i85vo7	316	5	the	the	DET
cord-186927-b8i85vo7	316	6	parameters	parameter	NOUN
cord-186927-b8i85vo7	316	7	ν	ν	NOUN
cord-186927-b8i85vo7	316	8	and	and	CCONJ
cord-186927-b8i85vo7	316	9	ρ	ρ	NOUN
cord-186927-b8i85vo7	316	10	correspond	correspond	VERB
cord-186927-b8i85vo7	316	11	respectively	respectively	ADV
cord-186927-b8i85vo7	316	12	to	to	ADP
cord-186927-b8i85vo7	316	13	the	the	DET
cord-186927-b8i85vo7	316	14	recovery	recovery	NOUN
cord-186927-b8i85vo7	316	15	rates	rate	NOUN
cord-186927-b8i85vo7	316	16	in	in	ADP
cord-186927-b8i85vo7	316	17	the	the	DET
cord-186927-b8i85vo7	316	18	sis	sis	NOUN
cord-186927-b8i85vo7	316	19	and	and	CCONJ
cord-186927-b8i85vo7	316	20	sir	sir	NOUN
cord-186927-b8i85vo7	316	21	models	model	NOUN
cord-186927-b8i85vo7	316	22	,	,	PUNCT
cord-186927-b8i85vo7	316	23	i.e.	i.e.	X
cord-186927-b8i85vo7	316	24	,	,	PUNCT
cord-186927-b8i85vo7	316	25	the	the	DET
cord-186927-b8i85vo7	316	26	inverse	inverse	NOUN
cord-186927-b8i85vo7	316	27	of	of	ADP
cord-186927-b8i85vo7	316	28	the	the	DET
cord-186927-b8i85vo7	316	29	virus	virus	NOUN
cord-186927-b8i85vo7	316	30	contagious	contagious	ADJ
cord-186927-b8i85vo7	316	31	period	period	NOUN
cord-186927-b8i85vo7	316	32	.	.	PUNCT
cord-186927-b8i85vo7	317	1	since	since	SCONJ
cord-186927-b8i85vo7	317	2	we	we	PRON
cord-186927-b8i85vo7	317	3	want	want	VERB
cord-186927-b8i85vo7	317	4	to	to	PART
cord-186927-b8i85vo7	317	5	consider	consider	VERB
cord-186927-b8i85vo7	317	6	here	here	ADV
cord-186927-b8i85vo7	317	7	a	a	DET
cord-186927-b8i85vo7	317	8	sir	sir	PROPN
cord-186927-b8i85vo7	317	9	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	317	10	,	,	PUNCT
cord-186927-b8i85vo7	317	11	we	we	PRON
cord-186927-b8i85vo7	317	12	let	let	VERB
cord-186927-b8i85vo7	317	13	ν	ν	X
cord-186927-b8i85vo7	317	14	=	=	NOUN
cord-186927-b8i85vo7	317	15	0	0	NUM
cord-186927-b8i85vo7	317	16	and	and	CCONJ
cord-186927-b8i85vo7	317	17	ρ	ρ	NUM
cord-186927-b8i85vo7	317	18	=	=	NOUN
cord-186927-b8i85vo7	317	19	0.1	0.1	NUM
cord-186927-b8i85vo7	317	20	,	,	PUNCT
cord-186927-b8i85vo7	317	21	to	to	PART
cord-186927-b8i85vo7	317	22	account	account	VERB
cord-186927-b8i85vo7	317	23	for	for	ADP
cord-186927-b8i85vo7	317	24	the	the	DET
cord-186927-b8i85vo7	317	25	average	average	ADJ
cord-186927-b8i85vo7	317	26	10	10	NUM
cord-186927-b8i85vo7	317	27	-	-	PUNCT
cord-186927-b8i85vo7	317	28	day	day	NOUN
cord-186927-b8i85vo7	317	29	duration	duration	NOUN
cord-186927-b8i85vo7	317	30	of	of	ADP
cord-186927-b8i85vo7	317	31	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	317	32	disease	disease	NOUN
cord-186927-b8i85vo7	317	33	.	.	PUNCT
cord-186927-b8i85vo7	318	1	when	when	SCONJ
cord-186927-b8i85vo7	318	2	not	not	PART
cord-186927-b8i85vo7	318	3	explicitly	explicitly	ADV
cord-186927-b8i85vo7	318	4	specified	specify	VERB
cord-186927-b8i85vo7	318	5	,	,	PUNCT
cord-186927-b8i85vo7	318	6	the	the	DET
cord-186927-b8i85vo7	318	7	simulations	simulation	NOUN
cord-186927-b8i85vo7	318	8	presented	present	VERB
cord-186927-b8i85vo7	318	9	in	in	ADP
cord-186927-b8i85vo7	318	10	this	this	DET
cord-186927-b8i85vo7	318	11	section	section	NOUN
cord-186927-b8i85vo7	318	12	are	be	AUX
cord-186927-b8i85vo7	318	13	performed	perform	VERB
cord-186927-b8i85vo7	318	14	with	with	ADP
cord-186927-b8i85vo7	318	15	the	the	DET
cord-186927-b8i85vo7	318	16	sets	set	NOUN
cord-186927-b8i85vo7	318	17	of	of	ADP
cord-186927-b8i85vo7	318	18	parameters	parameter	NOUN
cord-186927-b8i85vo7	318	19	described	describe	VERB
cord-186927-b8i85vo7	318	20	in	in	ADP
cord-186927-b8i85vo7	318	21	tables	table	NOUN
cord-186927-b8i85vo7	318	22	1	1	NUM
cord-186927-b8i85vo7	318	23	and	and	CCONJ
cord-186927-b8i85vo7	318	24	2	2	NUM
cord-186927-b8i85vo7	318	25	.	.	PUNCT
cord-186927-b8i85vo7	319	1	however	however	ADV
cord-186927-b8i85vo7	319	2	,	,	PUNCT
cord-186927-b8i85vo7	319	3	the	the	DET
cord-186927-b8i85vo7	319	4	parameters	parameter	NOUN
cord-186927-b8i85vo7	319	5	used	use	VERB
cord-186927-b8i85vo7	319	6	to	to	PART
cord-186927-b8i85vo7	319	7	describe	describe	VERB
cord-186927-b8i85vo7	319	8	in	in	ADP
cord-186927-b8i85vo7	319	9	particular	particular	ADJ
cord-186927-b8i85vo7	319	10	the	the	DET
cord-186927-b8i85vo7	319	11	utility	utility	NOUN
cord-186927-b8i85vo7	319	12	and	and	CCONJ
cord-186927-b8i85vo7	319	13	cost	cost	NOUN
cord-186927-b8i85vo7	319	14	functions	function	NOUN
cord-186927-b8i85vo7	319	15	of	of	ADP
cord-186927-b8i85vo7	319	16	the	the	DET
cord-186927-b8i85vo7	319	17	population	population	NOUN
cord-186927-b8i85vo7	319	18	and	and	CCONJ
cord-186927-b8i85vo7	319	19	government	government	NOUN
cord-186927-b8i85vo7	319	20	are	be	AUX
cord-186927-b8i85vo7	319	21	set	set	VERB
cord-186927-b8i85vo7	319	22	in	in	ADP
cord-186927-b8i85vo7	319	23	a	a	DET
cord-186927-b8i85vo7	319	24	relatively	relatively	ADV
cord-186927-b8i85vo7	319	25	arbitrary	arbitrary	ADJ
cord-186927-b8i85vo7	319	26	way	way	NOUN
cord-186927-b8i85vo7	319	27	.	.	PUNCT
cord-186927-b8i85vo7	320	1	to	to	PART
cord-186927-b8i85vo7	320	2	actually	actually	ADV
cord-186927-b8i85vo7	320	3	estimate	estimate	VERB
cord-186927-b8i85vo7	320	4	these	these	DET
cord-186927-b8i85vo7	320	5	parameters	parameter	NOUN
cord-186927-b8i85vo7	320	6	would	would	AUX
cord-186927-b8i85vo7	320	7	require	require	VERB
cord-186927-b8i85vo7	320	8	an	an	DET
cord-186927-b8i85vo7	320	9	extensive	extensive	ADJ
cord-186927-b8i85vo7	320	10	sociological	sociological	ADJ
cord-186927-b8i85vo7	320	11	and	and	CCONJ
cord-186927-b8i85vo7	320	12	economic	economic	ADJ
cord-186927-b8i85vo7	320	13	study	study	NOUN
cord-186927-b8i85vo7	320	14	,	,	PUNCT
cord-186927-b8i85vo7	320	15	that	that	SCONJ
cord-186927-b8i85vo7	320	16	we	we	PRON
cord-186927-b8i85vo7	320	17	do	do	AUX
cord-186927-b8i85vo7	320	18	not	not	PART
cord-186927-b8i85vo7	320	19	presume	presume	VERB
cord-186927-b8i85vo7	320	20	to	to	PART
cord-186927-b8i85vo7	320	21	be	be	AUX
cord-186927-b8i85vo7	320	22	able	able	ADJ
cord-186927-b8i85vo7	320	23	to	to	PART
cord-186927-b8i85vo7	320	24	perform	perform	VERB
cord-186927-b8i85vo7	320	25	at	at	ADP
cord-186927-b8i85vo7	320	26	this	this	DET
cord-186927-b8i85vo7	320	27	stage	stage	NOUN
cord-186927-b8i85vo7	320	28	,	,	PUNCT
cord-186927-b8i85vo7	320	29	and	and	CCONJ
cord-186927-b8i85vo7	320	30	linking	link	VERB
cord-186927-b8i85vo7	320	31	,	,	PUNCT
cord-186927-b8i85vo7	320	32	for	for	ADP
cord-186927-b8i85vo7	320	33	example	example	NOUN
cord-186927-b8i85vo7	320	34	,	,	PUNCT
cord-186927-b8i85vo7	320	35	the	the	DET
cord-186927-b8i85vo7	320	36	population	population	NOUN
cord-186927-b8i85vo7	320	37	's	's	PART
cord-186927-b8i85vo7	320	38	costs	cost	NOUN
cord-186927-b8i85vo7	320	39	to	to	ADP
cord-186927-b8i85vo7	320	40	the	the	DET
cord-186927-b8i85vo7	320	41	daly	daly	PROPN
cord-186927-b8i85vo7	320	42	/	/	SYM
cord-186927-b8i85vo7	320	43	qaly	qaly	PROPN
cord-186927-b8i85vo7	320	44	concepts	concept	NOUN
cord-186927-b8i85vo7	320	45	already	already	ADV
cord-186927-b8i85vo7	320	46	mentioned	mention	VERB
cord-186927-b8i85vo7	320	47	,	,	PUNCT
cord-186927-b8i85vo7	320	48	and	and	CCONJ
cord-186927-b8i85vo7	320	49	the	the	DET
cord-186927-b8i85vo7	320	50	government	government	NOUN
cord-186927-b8i85vo7	320	51	's	's	PART
cord-186927-b8i85vo7	320	52	costs	cost	NOUN
cord-186927-b8i85vo7	320	53	to	to	ADP
cord-186927-b8i85vo7	320	54	those	those	PRON
cord-186927-b8i85vo7	320	55	of	of	ADP
cord-186927-b8i85vo7	320	56	the	the	DET
cord-186927-b8i85vo7	320	57	health	health	NOUN
cord-186927-b8i85vo7	320	58	care	care	NOUN
cord-186927-b8i85vo7	320	59	system	system	NOUN
cord-186927-b8i85vo7	320	60	and	and	CCONJ
cord-186927-b8i85vo7	320	61	its	its	PRON
cord-186927-b8i85vo7	320	62	possible	possible	ADJ
cord-186927-b8i85vo7	320	63	congestion	congestion	NOUN
cord-186927-b8i85vo7	320	64	.	.	PUNCT
cord-186927-b8i85vo7	321	1	moreover	moreover	ADV
cord-186927-b8i85vo7	321	2	,	,	PUNCT
cord-186927-b8i85vo7	321	3	there	there	PRON
cord-186927-b8i85vo7	321	4	is	be	VERB
cord-186927-b8i85vo7	321	5	considerable	considerable	ADJ
cord-186927-b8i85vo7	321	6	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	321	7	in	in	ADP
cord-186927-b8i85vo7	321	8	the	the	DET
cord-186927-b8i85vo7	321	9	medical	medical	ADJ
cord-186927-b8i85vo7	321	10	literature	literature	NOUN
cord-186927-b8i85vo7	321	11	on	on	ADP
cord-186927-b8i85vo7	321	12	the	the	DET
cord-186927-b8i85vo7	321	13	choice	choice	NOUN
cord-186927-b8i85vo7	321	14	of	of	ADP
cord-186927-b8i85vo7	321	15	all	all	DET
cord-186927-b8i85vo7	321	16	parameters	parameter	NOUN
cord-186927-b8i85vo7	321	17	used	use	VERB
cord-186927-b8i85vo7	321	18	to	to	PART
cord-186927-b8i85vo7	321	19	describe	describe	VERB
cord-186927-b8i85vo7	321	20	the	the	DET
cord-186927-b8i85vo7	321	21	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	321	22	of	of	ADP
cord-186927-b8i85vo7	321	23	the	the	DET
cord-186927-b8i85vo7	321	24	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	321	25	,	,	PUNCT
cord-186927-b8i85vo7	321	26	in	in	ADP
cord-186927-b8i85vo7	321	27	particular	particular	ADJ
cord-186927-b8i85vo7	321	28	because	because	SCONJ
cord-186927-b8i85vo7	321	29	the	the	DET
cord-186927-b8i85vo7	321	30	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	321	31	is	be	AUX
cord-186927-b8i85vo7	321	32	a	a	DET
cord-186927-b8i85vo7	321	33	new	new	ADJ
cord-186927-b8i85vo7	321	34	type	type	NOUN
cord-186927-b8i85vo7	321	35	of	of	ADP
cord-186927-b8i85vo7	321	36	virus	virus	NOUN
cord-186927-b8i85vo7	321	37	and	and	CCONJ
cord-186927-b8i85vo7	321	38	therefore	therefore	ADV
cord-186927-b8i85vo7	321	39	we	we	PRON
cord-186927-b8i85vo7	321	40	do	do	AUX
cord-186927-b8i85vo7	321	41	not	not	PART
cord-186927-b8i85vo7	321	42	have	have	VERB
cord-186927-b8i85vo7	321	43	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	321	44	hindsight	hindsight	NOUN
cord-186927-b8i85vo7	321	45	to	to	PART
cord-186927-b8i85vo7	321	46	reliably	reliably	ADV
cord-186927-b8i85vo7	321	47	estimate	estimate	VERB
cord-186927-b8i85vo7	321	48	its	its	PRON
cord-186927-b8i85vo7	321	49	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	321	50	.	.	PUNCT
cord-186927-b8i85vo7	322	1	it	it	PRON
cord-186927-b8i85vo7	322	2	will	will	AUX
cord-186927-b8i85vo7	322	3	therefore	therefore	ADV
cord-186927-b8i85vo7	322	4	be	be	AUX
cord-186927-b8i85vo7	322	5	necessary	necessary	ADJ
cord-186927-b8i85vo7	322	6	to	to	PART
cord-186927-b8i85vo7	322	7	study	study	VERB
cord-186927-b8i85vo7	322	8	the	the	DET
cord-186927-b8i85vo7	322	9	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	322	10	of	of	ADP
cord-186927-b8i85vo7	322	11	the	the	DET
cord-186927-b8i85vo7	322	12	results	result	NOUN
cord-186927-b8i85vo7	322	13	obtained	obtain	VERB
cord-186927-b8i85vo7	322	14	with	with	ADP
cord-186927-b8i85vo7	322	15	respect	respect	NOUN
cord-186927-b8i85vo7	322	16	to	to	ADP
cord-186927-b8i85vo7	322	17	the	the	DET
cord-186927-b8i85vo7	322	18	selected	select	VERB
cord-186927-b8i85vo7	322	19	parameters	parameter	NOUN
cord-186927-b8i85vo7	322	20	.	.	PUNCT
cord-186927-b8i85vo7	323	1	finally	finally	ADV
cord-186927-b8i85vo7	323	2	,	,	PUNCT
cord-186927-b8i85vo7	323	3	it	it	PRON
cord-186927-b8i85vo7	323	4	should	should	AUX
cord-186927-b8i85vo7	323	5	be	be	AUX
cord-186927-b8i85vo7	323	6	remembered	remember	VERB
cord-186927-b8i85vo7	323	7	that	that	SCONJ
cord-186927-b8i85vo7	323	8	,	,	PUNCT
cord-186927-b8i85vo7	323	9	in	in	ADP
cord-186927-b8i85vo7	323	10	contrast	contrast	NOUN
cord-186927-b8i85vo7	323	11	to	to	ADP
cord-186927-b8i85vo7	323	12	usual	usual	ADJ
cord-186927-b8i85vo7	323	13	principal	principal	ADJ
cord-186927-b8i85vo7	323	14	-	-	PUNCT
cord-186927-b8i85vo7	323	15	agent	agent	NOUN
cord-186927-b8i85vo7	323	16	problems	problem	NOUN
cord-186927-b8i85vo7	323	17	,	,	PUNCT
cord-186927-b8i85vo7	323	18	the	the	DET
cord-186927-b8i85vo7	323	19	government	government	NOUN
cord-186927-b8i85vo7	323	20	implements	implement	VERB
cord-186927-b8i85vo7	323	21	a	a	DET
cord-186927-b8i85vo7	323	22	mandatory	mandatory	ADJ
cord-186927-b8i85vo7	323	23	tax	tax	NOUN
cord-186927-b8i85vo7	323	24	,	,	PUNCT
cord-186927-b8i85vo7	323	25	which	which	PRON
cord-186927-b8i85vo7	323	26	the	the	DET
cord-186927-b8i85vo7	323	27	population	population	NOUN
cord-186927-b8i85vo7	323	28	can	can	AUX
cord-186927-b8i85vo7	323	29	not	not	PART
cord-186927-b8i85vo7	323	30	refuse	refuse	VERB
cord-186927-b8i85vo7	323	31	.	.	PUNCT
cord-186927-b8i85vo7	324	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	324	2	,	,	PUNCT
cord-186927-b8i85vo7	324	3	we	we	PRON
cord-186927-b8i85vo7	324	4	consider	consider	VERB
cord-186927-b8i85vo7	324	5	that	that	SCONJ
cord-186927-b8i85vo7	324	6	the	the	DET
cord-186927-b8i85vo7	324	7	government	government	NOUN
cord-186927-b8i85vo7	324	8	is	be	AUX
cord-186927-b8i85vo7	324	9	benevolent	benevolent	ADJ
cord-186927-b8i85vo7	324	10	,	,	PUNCT
cord-186927-b8i85vo7	324	11	in	in	ADP
cord-186927-b8i85vo7	324	12	the	the	DET
cord-186927-b8i85vo7	324	13	sense	sense	NOUN
cord-186927-b8i85vo7	324	14	that	that	SCONJ
cord-186927-b8i85vo7	324	15	it	it	PRON
cord-186927-b8i85vo7	324	16	still	still	ADV
cord-186927-b8i85vo7	324	17	wishes	wish	VERB
cord-186927-b8i85vo7	324	18	to	to	PART
cord-186927-b8i85vo7	324	19	ensure	ensure	VERB
cord-186927-b8i85vo7	324	20	that	that	SCONJ
cord-186927-b8i85vo7	324	21	the	the	DET
cord-186927-b8i85vo7	324	22	utility	utility	NOUN
cord-186927-b8i85vo7	324	23	of	of	ADP
cord-186927-b8i85vo7	324	24	the	the	DET
cord-186927-b8i85vo7	324	25	population	population	NOUN
cord-186927-b8i85vo7	324	26	remains	remain	VERB
cord-186927-b8i85vo7	324	27	above	above	ADP
cord-186927-b8i85vo7	324	28	a	a	DET
cord-186927-b8i85vo7	324	29	certain	certain	ADJ
cord-186927-b8i85vo7	324	30	level	level	NOUN
cord-186927-b8i85vo7	324	31	,	,	PUNCT
cord-186927-b8i85vo7	324	32	denoted	denote	VERB
cord-186927-b8i85vo7	324	33	by	by	ADP
cord-186927-b8i85vo7	324	34	v.	v.	NOUN
cord-186927-b8i85vo7	324	35	to	to	PART
cord-186927-b8i85vo7	324	36	fix	fix	VERB
cord-186927-b8i85vo7	324	37	this	this	DET
cord-186927-b8i85vo7	324	38	level	level	NOUN
cord-186927-b8i85vo7	324	39	,	,	PUNCT
cord-186927-b8i85vo7	324	40	we	we	PRON
cord-186927-b8i85vo7	324	41	assume	assume	VERB
cord-186927-b8i85vo7	324	42	that	that	SCONJ
cord-186927-b8i85vo7	324	43	the	the	DET
cord-186927-b8i85vo7	324	44	government	government	NOUN
cord-186927-b8i85vo7	324	45	wants	want	VERB
cord-186927-b8i85vo7	324	46	to	to	PART
cord-186927-b8i85vo7	324	47	ensure	ensure	VERB
cord-186927-b8i85vo7	324	48	at	at	ADP
cord-186927-b8i85vo7	324	49	the	the	DET
cord-186927-b8i85vo7	324	50	very	very	ADV
cord-186927-b8i85vo7	324	51	least	least	ADJ
cord-186927-b8i85vo7	324	52	to	to	ADP
cord-186927-b8i85vo7	324	53	the	the	DET
cord-186927-b8i85vo7	324	54	population	population	NOUN
cord-186927-b8i85vo7	324	55	the	the	DET
cord-186927-b8i85vo7	324	56	same	same	ADJ
cord-186927-b8i85vo7	324	57	living	living	NOUN
cord-186927-b8i85vo7	324	58	conditions	condition	NOUN
cord-186927-b8i85vo7	324	59	it	it	PRON
cord-186927-b8i85vo7	324	60	would	would	AUX
cord-186927-b8i85vo7	324	61	have	have	AUX
cord-186927-b8i85vo7	324	62	had	have	VERB
cord-186927-b8i85vo7	324	63	in	in	ADP
cord-186927-b8i85vo7	324	64	the	the	DET
cord-186927-b8i85vo7	324	65	event	event	NOUN
cord-186927-b8i85vo7	324	66	of	of	ADP
cord-186927-b8i85vo7	324	67	an	an	DET
cord-186927-b8i85vo7	324	68	uncontrolled	uncontrolled	ADJ
cord-186927-b8i85vo7	324	69	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	324	70	,	,	PUNCT
cord-186927-b8i85vo7	324	71	i.e.	i.e.	X
cord-186927-b8i85vo7	324	72	,	,	PUNCT
cord-186927-b8i85vo7	324	73	without	without	ADP
cord-186927-b8i85vo7	324	74	any	any	DET
cord-186927-b8i85vo7	324	75	effort	effort	NOUN
cord-186927-b8i85vo7	324	76	on	on	ADP
cord-186927-b8i85vo7	324	77	the	the	DET
cord-186927-b8i85vo7	324	78	part	part	NOUN
cord-186927-b8i85vo7	324	79	of	of	ADP
cord-186927-b8i85vo7	324	80	neither	neither	CCONJ
cord-186927-b8i85vo7	324	81	the	the	DET
cord-186927-b8i85vo7	324	82	population	population	NOUN
cord-186927-b8i85vo7	324	83	nor	nor	CCONJ
cord-186927-b8i85vo7	324	84	the	the	DET
cord-186927-b8i85vo7	324	85	government	government	NOUN
cord-186927-b8i85vo7	324	86	,	,	PUNCT
cord-186927-b8i85vo7	324	87	meaning	mean	VERB
cord-186927-b8i85vo7	324	88	β	β	NOUN
cord-186927-b8i85vo7	324	89	=	=	SYM
cord-186927-b8i85vo7	324	90	β	β	NOUN
cord-186927-b8i85vo7	324	91	,	,	PUNCT
cord-186927-b8i85vo7	324	92	α	α	PROPN
cord-186927-b8i85vo7	324	93	=	=	SYM
cord-186927-b8i85vo7	324	94	1	1	NUM
cord-186927-b8i85vo7	324	95	and	and	CCONJ
cord-186927-b8i85vo7	324	96	χ	χ	NUM
cord-186927-b8i85vo7	324	97	=	=	NOUN
cord-186927-b8i85vo7	324	98	0	0	NUM
cord-186927-b8i85vo7	324	99	.	.	PUNCT
cord-186927-b8i85vo7	325	1	mathematically	mathematically	ADV
cord-186927-b8i85vo7	325	2	,	,	PUNCT
cord-186927-b8i85vo7	325	3	this	this	PRON
cord-186927-b8i85vo7	325	4	is	be	AUX
cord-186927-b8i85vo7	325	5	equivalent	equivalent	ADJ
cord-186927-b8i85vo7	325	6	to	to	ADP
cord-186927-b8i85vo7	325	7	the	the	DET
cord-186927-b8i85vo7	325	8	following	following	NOUN
cord-186927-b8i85vo7	325	9	,	,	PUNCT
cord-186927-b8i85vo7	325	10	since	since	SCONJ
cord-186927-b8i85vo7	325	11	u	u	PROPN
cord-186927-b8i85vo7	325	12	is	be	AUX
cord-186927-b8i85vo7	325	13	separable	separable	ADJ
cord-186927-b8i85vo7	325	14	of	of	ADP
cord-186927-b8i85vo7	325	15	the	the	DET
cord-186927-b8i85vo7	325	16	form	form	NOUN
cord-186927-b8i85vo7	325	17	(	(	PUNCT
cord-186927-b8i85vo7	325	18	2.7	2.7	NUM
cord-186927-b8i85vo7	325	19	)	)	PUNCT
cord-186927-b8i85vo7	325	20	,	,	PUNCT
cord-186927-b8i85vo7	325	21	such	such	ADJ
cord-186927-b8i85vo7	325	22	that	that	SCONJ
cord-186927-b8i85vo7	325	23	for	for	ADP
cord-186927-b8i85vo7	325	24	all	all	DET
cord-186927-b8i85vo7	325	25	t	t	NOUN
cord-186927-b8i85vo7	325	26	∈	∈	NOUN
cord-186927-b8i85vo7	326	1	[	[	X
cord-186927-b8i85vo7	326	2	0	0	NUM
cord-186927-b8i85vo7	326	3	,	,	PUNCT
cord-186927-b8i85vo7	326	4	t	t	NOUN
cord-186927-b8i85vo7	326	5	]	]	PUNCT
cord-186927-b8i85vo7	326	6	,	,	PUNCT
cord-186927-b8i85vo7	326	7	u	u	PROPN
cord-186927-b8i85vo7	326	8	β	β	PROPN
cord-186927-b8i85vo7	326	9	(	(	PUNCT
cord-186927-b8i85vo7	326	10	t	t	PROPN
cord-186927-b8i85vo7	326	11	,	,	PUNCT
cord-186927-b8i85vo7	326	12	β	β	PROPN
cord-186927-b8i85vo7	326	13	)	)	PUNCT
cord-186927-b8i85vo7	326	14	=	=	SYM
cord-186927-b8i85vo7	326	15	0	0	PUNCT
cord-186927-b8i85vo7	326	16	and	and	CCONJ
cord-186927-b8i85vo7	326	17	u	u	PRON
cord-186927-b8i85vo7	326	18	i	i	PRON
cord-186927-b8i85vo7	326	19	satisfies	satisfy	VERB
cord-186927-b8i85vo7	326	20	(	(	PUNCT
cord-186927-b8i85vo7	326	21	2.8	2.8	NUM
cord-186927-b8i85vo7	326	22	)	)	PUNCT
cord-186927-b8i85vo7	326	23	notice	notice	NOUN
cord-186927-b8i85vo7	326	24	that	that	SCONJ
cord-186927-b8i85vo7	326	25	the	the	DET
cord-186927-b8i85vo7	326	26	reservation	reservation	NOUN
cord-186927-b8i85vo7	326	27	utility	utility	NOUN
cord-186927-b8i85vo7	326	28	v	v	NOUN
cord-186927-b8i85vo7	326	29	is	be	AUX
cord-186927-b8i85vo7	326	30	given	give	VERB
cord-186927-b8i85vo7	326	31	by	by	ADP
cord-186927-b8i85vo7	326	32	the	the	DET
cord-186927-b8i85vo7	326	33	worst	bad	ADJ
cord-186927-b8i85vo7	326	34	case	case	NOUN
cord-186927-b8i85vo7	326	35	scenario	scenario	NOUN
cord-186927-b8i85vo7	326	36	,	,	PUNCT
cord-186927-b8i85vo7	326	37	without	without	ADP
cord-186927-b8i85vo7	326	38	any	any	DET
cord-186927-b8i85vo7	326	39	sanitary	sanitary	ADJ
cord-186927-b8i85vo7	326	40	precaution	precaution	NOUN
cord-186927-b8i85vo7	326	41	neither	neither	CCONJ
cord-186927-b8i85vo7	326	42	from	from	ADP
cord-186927-b8i85vo7	326	43	the	the	DET
cord-186927-b8i85vo7	326	44	population	population	NOUN
cord-186927-b8i85vo7	326	45	nor	nor	CCONJ
cord-186927-b8i85vo7	326	46	from	from	ADP
cord-186927-b8i85vo7	326	47	the	the	DET
cord-186927-b8i85vo7	326	48	government	government	NOUN
cord-186927-b8i85vo7	326	49	.	.	PUNCT
cord-186927-b8i85vo7	327	1	this	this	DET
cord-186927-b8i85vo7	327	2	level	level	NOUN
cord-186927-b8i85vo7	327	3	may	may	AUX
cord-186927-b8i85vo7	327	4	be	be	AUX
cord-186927-b8i85vo7	327	5	judged	judge	VERB
cord-186927-b8i85vo7	327	6	too	too	ADV
cord-186927-b8i85vo7	327	7	severe	severe	ADJ
cord-186927-b8i85vo7	327	8	,	,	PUNCT
cord-186927-b8i85vo7	327	9	and	and	CCONJ
cord-186927-b8i85vo7	327	10	one	one	PRON
cord-186927-b8i85vo7	327	11	could	could	AUX
cord-186927-b8i85vo7	327	12	consider	consider	VERB
cord-186927-b8i85vo7	327	13	a	a	DET
cord-186927-b8i85vo7	327	14	model	model	NOUN
cord-186927-b8i85vo7	327	15	where	where	SCONJ
cord-186927-b8i85vo7	327	16	the	the	DET
cord-186927-b8i85vo7	327	17	government	government	NOUN
cord-186927-b8i85vo7	327	18	is	be	AUX
cord-186927-b8i85vo7	327	19	more	more	ADV
cord-186927-b8i85vo7	327	20	benevolent	benevolent	ADJ
cord-186927-b8i85vo7	327	21	.	.	PUNCT
cord-186927-b8i85vo7	328	1	in	in	ADP
cord-186927-b8i85vo7	328	2	particular	particular	ADJ
cord-186927-b8i85vo7	328	3	,	,	PUNCT
cord-186927-b8i85vo7	328	4	one	one	PRON
cord-186927-b8i85vo7	328	5	could	could	AUX
cord-186927-b8i85vo7	328	6	set	set	VERB
cord-186927-b8i85vo7	328	7	v	v	NOUN
cord-186927-b8i85vo7	328	8	closer	close	ADJ
cord-186927-b8i85vo7	328	9	to	to	ADP
cord-186927-b8i85vo7	328	10	the	the	DET
cord-186927-b8i85vo7	328	11	value	value	NOUN
cord-186927-b8i85vo7	328	12	that	that	PRON
cord-186927-b8i85vo7	328	13	the	the	DET
cord-186927-b8i85vo7	328	14	population	population	NOUN
cord-186927-b8i85vo7	328	15	achieves	achieve	VERB
cord-186927-b8i85vo7	328	16	in	in	ADP
cord-186927-b8i85vo7	328	17	the	the	DET
cord-186927-b8i85vo7	328	18	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	328	19	case	case	NOUN
cord-186927-b8i85vo7	328	20	,	,	PUNCT
cord-186927-b8i85vo7	328	21	i.e.	i.e.	X
cord-186927-b8i85vo7	328	22	,	,	PUNCT
cord-186927-b8i85vo7	328	23	when	when	SCONJ
cord-186927-b8i85vo7	328	24	it	it	PRON
cord-186927-b8i85vo7	328	25	makes	make	VERB
cord-186927-b8i85vo7	328	26	optimal	optimal	ADJ
cord-186927-b8i85vo7	328	27	efforts	effort	NOUN
cord-186927-b8i85vo7	328	28	in	in	ADP
cord-186927-b8i85vo7	328	29	the	the	DET
cord-186927-b8i85vo7	328	30	absence	absence	NOUN
cord-186927-b8i85vo7	328	31	of	of	ADP
cord-186927-b8i85vo7	328	32	government	government	NOUN
cord-186927-b8i85vo7	328	33	policy	policy	NOUN
cord-186927-b8i85vo7	328	34	.	.	PUNCT
cord-186927-b8i85vo7	329	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	329	2	,	,	PUNCT
cord-186927-b8i85vo7	329	3	the	the	DET
cord-186927-b8i85vo7	329	4	value	value	NOUN
cord-186927-b8i85vo7	329	5	of	of	ADP
cord-186927-b8i85vo7	329	6	v	v	NOUN
cord-186927-b8i85vo7	329	7	should	should	AUX
cord-186927-b8i85vo7	329	8	not	not	PART
cord-186927-b8i85vo7	329	9	be	be	AUX
cord-186927-b8i85vo7	329	10	of	of	ADP
cord-186927-b8i85vo7	329	11	major	major	ADJ
cord-186927-b8i85vo7	329	12	importance	importance	NOUN
cord-186927-b8i85vo7	329	13	,	,	PUNCT
cord-186927-b8i85vo7	329	14	since	since	SCONJ
cord-186927-b8i85vo7	329	15	it	it	PRON
cord-186927-b8i85vo7	329	16	should	should	AUX
cord-186927-b8i85vo7	329	17	only	only	ADV
cord-186927-b8i85vo7	329	18	impact	impact	VERB
cord-186927-b8i85vo7	329	19	the	the	DET
cord-186927-b8i85vo7	329	20	initial	initial	ADJ
cord-186927-b8i85vo7	329	21	value	value	NOUN
cord-186927-b8i85vo7	329	22	y	y	PROPN
cord-186927-b8i85vo7	329	23	0	0	PROPN
cord-186927-b8i85vo7	329	24	.	.	PUNCT
cord-186927-b8i85vo7	330	1	in	in	ADP
cord-186927-b8i85vo7	330	2	order	order	NOUN
cord-186927-b8i85vo7	330	3	to	to	PART
cord-186927-b8i85vo7	330	4	solve	solve	VERB
cord-186927-b8i85vo7	330	5	equation	equation	NOUN
cord-186927-b8i85vo7	330	6	(	(	PUNCT
cord-186927-b8i85vo7	330	7	2.16	2.16	NUM
cord-186927-b8i85vo7	330	8	)	)	PUNCT
cord-186927-b8i85vo7	330	9	corresponding	correspond	VERB
cord-186927-b8i85vo7	330	10	to	to	ADP
cord-186927-b8i85vo7	330	11	the	the	DET
cord-186927-b8i85vo7	330	12	population	population	NOUN
cord-186927-b8i85vo7	330	13	's	's	PART
cord-186927-b8i85vo7	330	14	problem	problem	NOUN
cord-186927-b8i85vo7	330	15	in	in	ADP
cord-186927-b8i85vo7	330	16	the	the	DET
cord-186927-b8i85vo7	330	17	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	330	18	case	case	NOUN
cord-186927-b8i85vo7	330	19	,	,	PUNCT
cord-186927-b8i85vo7	330	20	as	as	ADV
cord-186927-b8i85vo7	330	21	well	well	ADV
cord-186927-b8i85vo7	330	22	as	as	ADP
cord-186927-b8i85vo7	330	23	equation	equation	NOUN
cord-186927-b8i85vo7	330	24	(	(	PUNCT
cord-186927-b8i85vo7	330	25	2.22	2.22	NUM
cord-186927-b8i85vo7	330	26	)	)	PUNCT
cord-186927-b8i85vo7	330	27	for	for	ADP
cord-186927-b8i85vo7	330	28	the	the	DET
cord-186927-b8i85vo7	330	29	government	government	NOUN
cord-186927-b8i85vo7	330	30	's	's	PART
cord-186927-b8i85vo7	330	31	problem	problem	NOUN
cord-186927-b8i85vo7	330	32	,	,	PUNCT
cord-186927-b8i85vo7	330	33	we	we	PRON
cord-186927-b8i85vo7	330	34	need	need	VERB
cord-186927-b8i85vo7	330	35	a	a	DET
cord-186927-b8i85vo7	330	36	method	method	NOUN
cord-186927-b8i85vo7	330	37	permitting	permit	VERB
cord-186927-b8i85vo7	330	38	to	to	PART
cord-186927-b8i85vo7	330	39	deal	deal	VERB
cord-186927-b8i85vo7	330	40	with	with	ADP
cord-186927-b8i85vo7	330	41	degenerate	degenerate	VERB
cord-186927-b8i85vo7	330	42	hjb	hjb	NOUN
cord-186927-b8i85vo7	330	43	equations	equation	NOUN
cord-186927-b8i85vo7	330	44	.	.	PUNCT
cord-186927-b8i85vo7	331	1	we	we	PRON
cord-186927-b8i85vo7	331	2	choose	choose	VERB
cord-186927-b8i85vo7	331	3	to	to	PART
cord-186927-b8i85vo7	331	4	implement	implement	VERB
cord-186927-b8i85vo7	331	5	semi	semi	ADJ
cord-186927-b8i85vo7	331	6	-	-	ADJ
cord-186927-b8i85vo7	331	7	lagrangian	lagrangian	ADJ
cord-186927-b8i85vo7	331	8	schemes	scheme	NOUN
cord-186927-b8i85vo7	331	9	,	,	PUNCT
cord-186927-b8i85vo7	331	10	first	first	ADV
cord-186927-b8i85vo7	331	11	proposed	propose	VERB
cord-186927-b8i85vo7	331	12	in	in	ADP
cord-186927-b8i85vo7	331	13	camilli	camilli	PROPN
cord-186927-b8i85vo7	331	14	and	and	CCONJ
cord-186927-b8i85vo7	331	15	falcone	falcone	NOUN
cord-186927-b8i85vo7	331	16	[	[	X
cord-186927-b8i85vo7	331	17	21	21	NUM
cord-186927-b8i85vo7	331	18	]	]	PUNCT
cord-186927-b8i85vo7	331	19	.	.	PUNCT
cord-186927-b8i85vo7	332	1	these	these	PRON
cord-186927-b8i85vo7	332	2	are	be	AUX
cord-186927-b8i85vo7	332	3	explicit	explicit	ADJ
cord-186927-b8i85vo7	332	4	schemes	scheme	NOUN
cord-186927-b8i85vo7	332	5	using	use	VERB
cord-186927-b8i85vo7	332	6	a	a	DET
cord-186927-b8i85vo7	332	7	given	give	VERB
cord-186927-b8i85vo7	332	8	time	time	NOUN
cord-186927-b8i85vo7	332	9	-	-	PUNCT
cord-186927-b8i85vo7	332	10	step	step	NOUN
cord-186927-b8i85vo7	332	11	∆t	∆t	PROPN
cord-186927-b8i85vo7	332	12	,	,	PUNCT
cord-186927-b8i85vo7	332	13	and	and	CCONJ
cord-186927-b8i85vo7	332	14	requiring	require	VERB
cord-186927-b8i85vo7	332	15	interpolation	interpolation	NOUN
cord-186927-b8i85vo7	332	16	on	on	ADP
cord-186927-b8i85vo7	332	17	the	the	DET
cord-186927-b8i85vo7	332	18	grid	grid	NOUN
cord-186927-b8i85vo7	332	19	of	of	ADP
cord-186927-b8i85vo7	332	20	points	point	NOUN
cord-186927-b8i85vo7	332	21	where	where	SCONJ
cord-186927-b8i85vo7	332	22	the	the	DET
cord-186927-b8i85vo7	332	23	equation	equation	NOUN
cord-186927-b8i85vo7	332	24	is	be	AUX
cord-186927-b8i85vo7	332	25	solved	solve	VERB
cord-186927-b8i85vo7	332	26	.	.	PUNCT
cord-186927-b8i85vo7	333	1	this	this	DET
cord-186927-b8i85vo7	333	2	interpolation	interpolation	NOUN
cord-186927-b8i85vo7	333	3	can	can	AUX
cord-186927-b8i85vo7	333	4	be	be	AUX
cord-186927-b8i85vo7	333	5	either	either	ADV
cord-186927-b8i85vo7	333	6	linear	linear	ADJ
cord-186927-b8i85vo7	333	7	,	,	PUNCT
cord-186927-b8i85vo7	333	8	as	as	SCONJ
cord-186927-b8i85vo7	333	9	proposed	propose	VERB
cord-186927-b8i85vo7	333	10	in	in	ADP
cord-186927-b8i85vo7	333	11	[	[	X
cord-186927-b8i85vo7	333	12	21	21	NUM
cord-186927-b8i85vo7	333	13	]	]	PUNCT
cord-186927-b8i85vo7	333	14	,	,	PUNCT
cord-186927-b8i85vo7	333	15	or	or	CCONJ
cord-186927-b8i85vo7	333	16	using	use	VERB
cord-186927-b8i85vo7	333	17	some	some	DET
cord-186927-b8i85vo7	333	18	truncated	truncate	VERB
cord-186927-b8i85vo7	333	19	higher	high	ADJ
cord-186927-b8i85vo7	333	20	-	-	PUNCT
cord-186927-b8i85vo7	333	21	order	order	NOUN
cord-186927-b8i85vo7	333	22	interpolators	interpolator	NOUN
cord-186927-b8i85vo7	333	23	,	,	PUNCT
cord-186927-b8i85vo7	333	24	as	as	SCONJ
cord-186927-b8i85vo7	333	25	proposed	propose	VERB
cord-186927-b8i85vo7	333	26	by	by	ADP
cord-186927-b8i85vo7	333	27	warin	warin	PROPN
cord-186927-b8i85vo7	334	1	[	[	PUNCT
cord-186927-b8i85vo7	334	2	105	105	NUM
cord-186927-b8i85vo7	334	3	]	]	PUNCT
cord-186927-b8i85vo7	334	4	,	,	PUNCT
cord-186927-b8i85vo7	334	5	leading	lead	VERB
cord-186927-b8i85vo7	334	6	to	to	ADP
cord-186927-b8i85vo7	334	7	convergence	convergence	NOUN
cord-186927-b8i85vo7	334	8	of	of	ADP
cord-186927-b8i85vo7	334	9	the	the	DET
cord-186927-b8i85vo7	334	10	numerical	numerical	ADJ
cord-186927-b8i85vo7	334	11	solution	solution	NOUN
cord-186927-b8i85vo7	334	12	to	to	ADP
cord-186927-b8i85vo7	334	13	the	the	DET
cord-186927-b8i85vo7	334	14	viscosity	viscosity	NOUN
cord-186927-b8i85vo7	334	15	solution	solution	NOUN
cord-186927-b8i85vo7	334	16	of	of	ADP
cord-186927-b8i85vo7	334	17	the	the	DET
cord-186927-b8i85vo7	334	18	problem	problem	NOUN
cord-186927-b8i85vo7	334	19	.	.	PUNCT
cord-186927-b8i85vo7	335	1	a	a	DET
cord-186927-b8i85vo7	335	2	key	key	ADJ
cord-186927-b8i85vo7	335	3	point	point	NOUN
cord-186927-b8i85vo7	335	4	here	here	ADV
cord-186927-b8i85vo7	335	5	,	,	PUNCT
cord-186927-b8i85vo7	335	6	which	which	PRON
cord-186927-b8i85vo7	335	7	makes	make	VERB
cord-186927-b8i85vo7	335	8	the	the	DET
cord-186927-b8i85vo7	335	9	approach	approach	NOUN
cord-186927-b8i85vo7	335	10	delicate	delicate	ADJ
cord-186927-b8i85vo7	335	11	,	,	PUNCT
cord-186927-b8i85vo7	335	12	is	be	AUX
cord-186927-b8i85vo7	335	13	that	that	SCONJ
cord-186927-b8i85vo7	335	14	the	the	DET
cord-186927-b8i85vo7	335	15	domain	domain	NOUN
cord-186927-b8i85vo7	335	16	over	over	ADP
cord-186927-b8i85vo7	335	17	which	which	PRON
cord-186927-b8i85vo7	335	18	the	the	DET
cord-186927-b8i85vo7	335	19	pdes	pde	NOUN
cord-186927-b8i85vo7	335	20	are	be	AUX
cord-186927-b8i85vo7	335	21	solved	solve	VERB
cord-186927-b8i85vo7	335	22	is	be	AUX
cord-186927-b8i85vo7	335	23	unbounded	unbounded	ADJ
cord-186927-b8i85vo7	335	24	.	.	PUNCT
cord-186927-b8i85vo7	336	1	it	it	PRON
cord-186927-b8i85vo7	336	2	is	be	AUX
cord-186927-b8i85vo7	336	3	therefore	therefore	ADV
cord-186927-b8i85vo7	336	4	necessary	necessary	ADJ
cord-186927-b8i85vo7	336	5	to	to	PART
cord-186927-b8i85vo7	336	6	define	define	VERB
cord-186927-b8i85vo7	336	7	a	a	DET
cord-186927-b8i85vo7	336	8	so	so	ADV
cord-186927-b8i85vo7	336	9	-	-	PUNCT
cord-186927-b8i85vo7	336	10	called	call	VERB
cord-186927-b8i85vo7	336	11	resolution	resolution	NOUN
cord-186927-b8i85vo7	336	12	domain	domain	NOUN
cord-186927-b8i85vo7	336	13	,	,	PUNCT
cord-186927-b8i85vo7	336	14	over	over	ADP
cord-186927-b8i85vo7	336	15	which	which	PRON
cord-186927-b8i85vo7	336	16	the	the	DET
cord-186927-b8i85vo7	336	17	numerical	numerical	ADJ
cord-186927-b8i85vo7	336	18	solution	solution	NOUN
cord-186927-b8i85vo7	336	19	will	will	AUX
cord-186927-b8i85vo7	336	20	be	be	AUX
cord-186927-b8i85vo7	336	21	actually	actually	ADV
cord-186927-b8i85vo7	336	22	computed	compute	VERB
cord-186927-b8i85vo7	336	23	,	,	PUNCT
cord-186927-b8i85vo7	336	24	which	which	PRON
cord-186927-b8i85vo7	336	25	on	on	ADP
cord-186927-b8i85vo7	336	26	the	the	DET
cord-186927-b8i85vo7	336	27	one	one	NUM
cord-186927-b8i85vo7	336	28	hand	hand	NOUN
cord-186927-b8i85vo7	336	29	must	must	AUX
cord-186927-b8i85vo7	336	30	be	be	AUX
cord-186927-b8i85vo7	336	31	large	large	ADJ
cord-186927-b8i85vo7	336	32	enough	enough	ADV
cord-186927-b8i85vo7	336	33	,	,	PUNCT
cord-186927-b8i85vo7	336	34	and	and	CCONJ
cord-186927-b8i85vo7	336	35	which	which	PRON
cord-186927-b8i85vo7	336	36	on	on	ADP
cord-186927-b8i85vo7	336	37	the	the	DET
cord-186927-b8i85vo7	336	38	other	other	ADJ
cord-186927-b8i85vo7	336	39	hand	hand	NOUN
cord-186927-b8i85vo7	336	40	creates	create	VERB
cord-186927-b8i85vo7	336	41	additional	additional	ADJ
cord-186927-b8i85vo7	336	42	difficulties	difficulty	NOUN
cord-186927-b8i85vo7	336	43	in	in	ADP
cord-186927-b8i85vo7	336	44	the	the	DET
cord-186927-b8i85vo7	336	45	treatment	treatment	NOUN
cord-186927-b8i85vo7	336	46	of	of	ADP
cord-186927-b8i85vo7	336	47	newly	newly	ADV
cord-186927-b8i85vo7	336	48	introduced	introduce	VERB
cord-186927-b8i85vo7	336	49	boundary	boundary	ADJ
cord-186927-b8i85vo7	336	50	conditions	condition	NOUN
cord-186927-b8i85vo7	336	51	.	.	PUNCT
cord-186927-b8i85vo7	337	1	in	in	ADP
cord-186927-b8i85vo7	337	2	order	order	NOUN
cord-186927-b8i85vo7	337	3	to	to	PART
cord-186927-b8i85vo7	337	4	treat	treat	VERB
cord-186927-b8i85vo7	337	5	these	these	DET
cord-186927-b8i85vo7	337	6	issues	issue	NOUN
cord-186927-b8i85vo7	337	7	,	,	PUNCT
cord-186927-b8i85vo7	337	8	we	we	PRON
cord-186927-b8i85vo7	337	9	use	use	VERB
cord-186927-b8i85vo7	337	10	two	two	NUM
cord-186927-b8i85vo7	337	11	special	special	ADJ
cord-186927-b8i85vo7	337	12	tricks	trick	NOUN
cord-186927-b8i85vo7	337	13	:	:	PUNCT
cord-186927-b8i85vo7	337	14	(	(	PUNCT
cord-186927-b8i85vo7	337	15	i	i	NOUN
cord-186927-b8i85vo7	337	16	)	)	PUNCT
cord-186927-b8i85vo7	337	17	picking	pick	VERB
cord-186927-b8i85vo7	337	18	randomly	randomly	ADV
cord-186927-b8i85vo7	337	19	the	the	DET
cord-186927-b8i85vo7	337	20	control	control	NOUN
cord-186927-b8i85vo7	337	21	in	in	ADP
cord-186927-b8i85vo7	337	22	(	(	PUNCT
cord-186927-b8i85vo7	337	23	2.5	2.5	NUM
cord-186927-b8i85vo7	337	24	)	)	PUNCT
cord-186927-b8i85vo7	337	25	for	for	ADP
cord-186927-b8i85vo7	337	26	the	the	DET
cord-186927-b8i85vo7	337	27	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	337	28	case	case	NOUN
cord-186927-b8i85vo7	337	29	,	,	PUNCT
cord-186927-b8i85vo7	337	30	and	and	CCONJ
cord-186927-b8i85vo7	337	31	in	in	ADP
cord-186927-b8i85vo7	337	32	(	(	PUNCT
cord-186927-b8i85vo7	337	33	4.16	4.16	NUM
cord-186927-b8i85vo7	337	34	)	)	PUNCT
cord-186927-b8i85vo7	337	35	for	for	ADP
cord-186927-b8i85vo7	337	36	the	the	DET
cord-186927-b8i85vo7	337	37	general	general	ADJ
cord-186927-b8i85vo7	337	38	case	case	NOUN
cord-186927-b8i85vo7	337	39	,	,	PUNCT
cord-186927-b8i85vo7	337	40	and	and	CCONJ
cord-186927-b8i85vo7	337	41	using	use	VERB
cord-186927-b8i85vo7	337	42	the	the	DET
cord-186927-b8i85vo7	337	43	forward	forward	ADJ
cord-186927-b8i85vo7	337	44	sde	sde	NOUN
cord-186927-b8i85vo7	337	45	with	with	ADP
cord-186927-b8i85vo7	337	46	an	an	DET
cord-186927-b8i85vo7	337	47	euler	euler	NOUN
cord-186927-b8i85vo7	337	48	scheme	scheme	NOUN
cord-186927-b8i85vo7	337	49	,	,	PUNCT
cord-186927-b8i85vo7	337	50	a	a	DET
cord-186927-b8i85vo7	337	51	monte	monte	PROPN
cord-186927-b8i85vo7	337	52	-	-	PUNCT
cord-186927-b8i85vo7	337	53	carlo	carlo	PROPN
cord-186927-b8i85vo7	337	54	method	method	PROPN
cord-186927-b8i85vo7	337	55	allows	allow	VERB
cord-186927-b8i85vo7	337	56	us	we	PRON
cord-186927-b8i85vo7	337	57	to	to	PART
cord-186927-b8i85vo7	337	58	get	get	VERB
cord-186927-b8i85vo7	337	59	an	an	DET
cord-186927-b8i85vo7	337	60	envelop	envelop	NOUN
cord-186927-b8i85vo7	337	61	of	of	ADP
cord-186927-b8i85vo7	337	62	the	the	DET
cord-186927-b8i85vo7	337	63	reachable	reachable	ADJ
cord-186927-b8i85vo7	337	64	domain	domain	NOUN
cord-186927-b8i85vo7	337	65	with	with	ADP
cord-186927-b8i85vo7	337	66	a	a	DET
cord-186927-b8i85vo7	337	67	high	high	ADJ
cord-186927-b8i85vo7	337	68	probability	probability	NOUN
cord-186927-b8i85vo7	337	69	at	at	ADP
cord-186927-b8i85vo7	337	70	each	each	DET
cord-186927-b8i85vo7	337	71	time	time	NOUN
cord-186927-b8i85vo7	337	72	-	-	PUNCT
cord-186927-b8i85vo7	337	73	step	step	NOUN
cord-186927-b8i85vo7	337	74	.	.	PUNCT
cord-186927-b8i85vo7	338	1	then	then	ADV
cord-186927-b8i85vo7	338	2	,	,	PUNCT
cord-186927-b8i85vo7	338	3	given	give	VERB
cord-186927-b8i85vo7	338	4	a	a	DET
cord-186927-b8i85vo7	338	5	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	338	6	step	step	NOUN
cord-186927-b8i85vo7	338	7	fixed	fix	VERB
cord-186927-b8i85vo7	338	8	once	once	ADV
cord-186927-b8i85vo7	338	9	and	and	CCONJ
cord-186927-b8i85vo7	338	10	for	for	ADP
cord-186927-b8i85vo7	338	11	all	all	PRON
cord-186927-b8i85vo7	338	12	,	,	PUNCT
cord-186927-b8i85vo7	338	13	the	the	DET
cord-186927-b8i85vo7	338	14	grid	grid	NOUN
cord-186927-b8i85vo7	338	15	of	of	ADP
cord-186927-b8i85vo7	338	16	points	point	NOUN
cord-186927-b8i85vo7	338	17	used	use	VERB
cord-186927-b8i85vo7	338	18	by	by	ADP
cord-186927-b8i85vo7	338	19	the	the	DET
cord-186927-b8i85vo7	338	20	semi	semi	ADJ
cord-186927-b8i85vo7	338	21	-	-	ADJ
cord-186927-b8i85vo7	338	22	lagrangian	lagrangian	ADJ
cord-186927-b8i85vo7	338	23	scheme	scheme	NOUN
cord-186927-b8i85vo7	338	24	is	be	AUX
cord-186927-b8i85vo7	338	25	defined	define	VERB
cord-186927-b8i85vo7	338	26	at	at	ADP
cord-186927-b8i85vo7	338	27	each	each	DET
cord-186927-b8i85vo7	338	28	time	time	NOUN
cord-186927-b8i85vo7	338	29	-	-	PUNCT
cord-186927-b8i85vo7	338	30	step	step	NOUN
cord-186927-b8i85vo7	338	31	with	with	ADP
cord-186927-b8i85vo7	338	32	bounds	bound	NOUN
cord-186927-b8i85vo7	338	33	set	set	VERB
cord-186927-b8i85vo7	338	34	by	by	ADP
cord-186927-b8i85vo7	338	35	the	the	DET
cord-186927-b8i85vo7	338	36	reachable	reachable	ADJ
cord-186927-b8i85vo7	338	37	domain	domain	NOUN
cord-186927-b8i85vo7	338	38	estimated	estimate	VERB
cord-186927-b8i85vo7	338	39	by	by	ADP
cord-186927-b8i85vo7	338	40	monte	monte	PROPN
cord-186927-b8i85vo7	338	41	-	-	PUNCT
cord-186927-b8i85vo7	338	42	carlo	carlo	PROPN
cord-186927-b8i85vo7	338	43	.	.	PUNCT
cord-186927-b8i85vo7	339	1	therefore	therefore	ADV
cord-186927-b8i85vo7	339	2	,	,	PUNCT
cord-186927-b8i85vo7	339	3	at	at	ADP
cord-186927-b8i85vo7	339	4	time	time	NOUN
cord-186927-b8i85vo7	339	5	step	step	NOUN
cord-186927-b8i85vo7	339	6	0	0	NUM
cord-186927-b8i85vo7	339	7	,	,	PUNCT
cord-186927-b8i85vo7	339	8	the	the	DET
cord-186927-b8i85vo7	339	9	grid	grid	NOUN
cord-186927-b8i85vo7	339	10	is	be	AUX
cord-186927-b8i85vo7	339	11	only	only	ADV
cord-186927-b8i85vo7	339	12	represented	represent	VERB
cord-186927-b8i85vo7	339	13	by	by	ADP
cord-186927-b8i85vo7	339	14	a	a	DET
cord-186927-b8i85vo7	339	15	single	single	ADJ
cord-186927-b8i85vo7	339	16	mesh	mesh	NOUN
cord-186927-b8i85vo7	339	17	,	,	PUNCT
cord-186927-b8i85vo7	339	18	while	while	SCONJ
cord-186927-b8i85vo7	339	19	the	the	DET
cord-186927-b8i85vo7	339	20	number	number	NOUN
cord-186927-b8i85vo7	339	21	of	of	ADP
cord-186927-b8i85vo7	339	22	meshes	mesh	NOUN
cord-186927-b8i85vo7	339	23	can	can	AUX
cord-186927-b8i85vo7	339	24	reach	reach	VERB
cord-186927-b8i85vo7	339	25	millions	million	NOUN
cord-186927-b8i85vo7	339	26	near	near	ADP
cord-186927-b8i85vo7	339	27	t	t	PROPN
cord-186927-b8i85vo7	339	28	;	;	PUNCT
cord-186927-b8i85vo7	339	29	(	(	PUNCT
cord-186927-b8i85vo7	339	30	ii	ii	PROPN
cord-186927-b8i85vo7	339	31	)	)	PUNCT
cord-186927-b8i85vo7	339	32	since	since	SCONJ
cord-186927-b8i85vo7	339	33	the	the	DET
cord-186927-b8i85vo7	339	34	scheme	scheme	NOUN
cord-186927-b8i85vo7	339	35	is	be	AUX
cord-186927-b8i85vo7	339	36	explicit	explicit	ADJ
cord-186927-b8i85vo7	339	37	,	,	PUNCT
cord-186927-b8i85vo7	339	38	starting	start	VERB
cord-186927-b8i85vo7	339	39	at	at	ADP
cord-186927-b8i85vo7	339	40	a	a	DET
cord-186927-b8i85vo7	339	41	given	give	VERB
cord-186927-b8i85vo7	339	42	point	point	NOUN
cord-186927-b8i85vo7	339	43	at	at	ADP
cord-186927-b8i85vo7	339	44	date	date	NOUN
cord-186927-b8i85vo7	339	45	t	t	PROPN
cord-186927-b8i85vo7	339	46	,	,	PUNCT
cord-186927-b8i85vo7	339	47	it	it	PRON
cord-186927-b8i85vo7	339	48	requires	require	VERB
cord-186927-b8i85vo7	339	49	to	to	PART
cord-186927-b8i85vo7	339	50	use	use	VERB
cord-186927-b8i85vo7	339	51	only	only	ADV
cord-186927-b8i85vo7	339	52	some	some	DET
cord-186927-b8i85vo7	339	53	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	339	54	points	point	NOUN
cord-186927-b8i85vo7	339	55	at	at	ADP
cord-186927-b8i85vo7	339	56	date	date	NOUN
cord-186927-b8i85vo7	339	57	t	t	PROPN
cord-186927-b8i85vo7	339	58	+	+	NOUN
cord-186927-b8i85vo7	339	59	∆t	∆t	PROPN
cord-186927-b8i85vo7	339	60	,	,	PUNCT
cord-186927-b8i85vo7	339	61	and	and	CCONJ
cord-186927-b8i85vo7	339	62	a	a	DET
cord-186927-b8i85vo7	339	63	modification	modification	NOUN
cord-186927-b8i85vo7	339	64	of	of	ADP
cord-186927-b8i85vo7	339	65	the	the	DET
cord-186927-b8i85vo7	339	66	general	general	ADJ
cord-186927-b8i85vo7	339	67	scheme	scheme	NOUN
cord-186927-b8i85vo7	339	68	is	be	AUX
cord-186927-b8i85vo7	339	69	implemented	implement	VERB
cord-186927-b8i85vo7	339	70	to	to	PART
cord-186927-b8i85vo7	339	71	use	use	VERB
cord-186927-b8i85vo7	339	72	only	only	ADJ
cord-186927-b8i85vo7	339	73	points	point	NOUN
cord-186927-b8i85vo7	339	74	inside	inside	ADP
cord-186927-b8i85vo7	339	75	the	the	DET
cord-186927-b8i85vo7	339	76	grid	grid	NOUN
cord-186927-b8i85vo7	339	77	at	at	ADP
cord-186927-b8i85vo7	339	78	date	date	NOUN
cord-186927-b8i85vo7	339	79	t	t	NOUN
cord-186927-b8i85vo7	339	80	+	+	NUM
cord-186927-b8i85vo7	339	81	∆t	∆t	PROPN
cord-186927-b8i85vo7	339	82	,	,	PUNCT
cord-186927-b8i85vo7	339	83	as	as	SCONJ
cord-186927-b8i85vo7	339	84	shown	show	VERB
cord-186927-b8i85vo7	339	85	in	in	ADP
cord-186927-b8i85vo7	339	86	[	[	X
cord-186927-b8i85vo7	339	87	105	105	NUM
cord-186927-b8i85vo7	339	88	]	]	PUNCT
cord-186927-b8i85vo7	339	89	.	.	PUNCT
cord-186927-b8i85vo7	340	1	lastly	lastly	ADV
cord-186927-b8i85vo7	340	2	,	,	PUNCT
cord-186927-b8i85vo7	340	3	in	in	ADP
cord-186927-b8i85vo7	340	4	dimension	dimension	NOUN
cord-186927-b8i85vo7	340	5	3	3	NUM
cord-186927-b8i85vo7	340	6	or	or	CCONJ
cord-186927-b8i85vo7	340	7	above	above	ADV
cord-186927-b8i85vo7	340	8	,	,	PUNCT
cord-186927-b8i85vo7	340	9	parallelisation	parallelisation	NOUN
cord-186927-b8i85vo7	340	10	techniques	technique	NOUN
cord-186927-b8i85vo7	340	11	defined	define	VERB
cord-186927-b8i85vo7	340	12	in	in	ADP
cord-186927-b8i85vo7	340	13	[	[	X
cord-186927-b8i85vo7	340	14	105	105	NUM
cord-186927-b8i85vo7	340	15	]	]	PUNCT
cord-186927-b8i85vo7	340	16	have	have	VERB
cord-186927-b8i85vo7	340	17	to	to	PART
cord-186927-b8i85vo7	340	18	be	be	AUX
cord-186927-b8i85vo7	340	19	used	use	VERB
cord-186927-b8i85vo7	340	20	in	in	ADP
cord-186927-b8i85vo7	340	21	order	order	NOUN
cord-186927-b8i85vo7	340	22	to	to	PART
cord-186927-b8i85vo7	340	23	accelerate	accelerate	VERB
cord-186927-b8i85vo7	340	24	the	the	DET
cord-186927-b8i85vo7	340	25	resolution	resolution	NOUN
cord-186927-b8i85vo7	340	26	of	of	ADP
cord-186927-b8i85vo7	340	27	the	the	DET
cord-186927-b8i85vo7	340	28	problems	problem	NOUN
cord-186927-b8i85vo7	340	29	.	.	PUNCT
cord-186927-b8i85vo7	341	1	the	the	DET
cord-186927-b8i85vo7	341	2	numerical	numerical	ADJ
cord-186927-b8i85vo7	341	3	results	result	NOUN
cord-186927-b8i85vo7	341	4	below	below	ADV
cord-186927-b8i85vo7	341	5	are	be	AUX
cord-186927-b8i85vo7	341	6	obtained	obtain	VERB
cord-186927-b8i85vo7	341	7	using	use	VERB
cord-186927-b8i85vo7	341	8	the	the	DET
cord-186927-b8i85vo7	341	9	stopt	stopt	ADJ
cord-186927-b8i85vo7	341	10	library	library	NOUN
cord-186927-b8i85vo7	341	11	,	,	PUNCT
cord-186927-b8i85vo7	341	12	see	see	VERB
cord-186927-b8i85vo7	341	13	gevret	gevret	NOUN
cord-186927-b8i85vo7	341	14	,	,	PUNCT
cord-186927-b8i85vo7	341	15	langrené	langrené	PROPN
cord-186927-b8i85vo7	341	16	,	,	PUNCT
cord-186927-b8i85vo7	341	17	lelong	lelong	PROPN
cord-186927-b8i85vo7	341	18	,	,	PUNCT
cord-186927-b8i85vo7	341	19	warin	warin	PROPN
cord-186927-b8i85vo7	341	20	,	,	PUNCT
cord-186927-b8i85vo7	341	21	and	and	CCONJ
cord-186927-b8i85vo7	341	22	maheshwari	maheshwari	PROPN
cord-186927-b8i85vo7	342	1	[	[	X
cord-186927-b8i85vo7	342	2	43	43	NUM
cord-186927-b8i85vo7	342	3	]	]	PUNCT
cord-186927-b8i85vo7	342	4	.	.	PUNCT
cord-186927-b8i85vo7	343	1	we	we	PRON
cord-186927-b8i85vo7	343	2	first	first	ADV
cord-186927-b8i85vo7	343	3	focus	focus	VERB
cord-186927-b8i85vo7	343	4	on	on	ADP
cord-186927-b8i85vo7	343	5	the	the	DET
cord-186927-b8i85vo7	343	6	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	343	7	case	case	NOUN
cord-186927-b8i85vo7	343	8	,	,	PUNCT
cord-186927-b8i85vo7	343	9	when	when	SCONJ
cord-186927-b8i85vo7	343	10	the	the	DET
cord-186927-b8i85vo7	343	11	government	government	NOUN
cord-186927-b8i85vo7	343	12	does	do	AUX
cord-186927-b8i85vo7	343	13	not	not	PART
cord-186927-b8i85vo7	343	14	implement	implement	VERB
cord-186927-b8i85vo7	343	15	any	any	DET
cord-186927-b8i85vo7	343	16	particular	particular	ADJ
cord-186927-b8i85vo7	343	17	policy	policy	NOUN
cord-186927-b8i85vo7	343	18	to	to	PART
cord-186927-b8i85vo7	343	19	tackle	tackle	VERB
cord-186927-b8i85vo7	343	20	the	the	DET
cord-186927-b8i85vo7	343	21	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	343	22	,	,	PUNCT
cord-186927-b8i85vo7	343	23	i.e.	i.e.	X
cord-186927-b8i85vo7	343	24	,	,	PUNCT
cord-186927-b8i85vo7	343	25	α	α	PROPN
cord-186927-b8i85vo7	343	26	=	=	SYM
cord-186927-b8i85vo7	343	27	1	1	NUM
cord-186927-b8i85vo7	343	28	and	and	CCONJ
cord-186927-b8i85vo7	343	29	χ	χ	NUM
cord-186927-b8i85vo7	343	30	=	=	NOUN
cord-186927-b8i85vo7	343	31	0	0	NUM
cord-186927-b8i85vo7	343	32	.	.	PUNCT
cord-186927-b8i85vo7	344	1	recall	recall	VERB
cord-186927-b8i85vo7	344	2	that	that	SCONJ
cord-186927-b8i85vo7	344	3	in	in	ADP
cord-186927-b8i85vo7	344	4	this	this	DET
cord-186927-b8i85vo7	344	5	case	case	NOUN
cord-186927-b8i85vo7	344	6	,	,	PUNCT
cord-186927-b8i85vo7	344	7	the	the	DET
cord-186927-b8i85vo7	344	8	population	population	NOUN
cord-186927-b8i85vo7	344	9	's	's	PART
cord-186927-b8i85vo7	344	10	problem	problem	NOUN
cord-186927-b8i85vo7	344	11	is	be	AUX
cord-186927-b8i85vo7	344	12	given	give	VERB
cord-186927-b8i85vo7	344	13	by	by	ADP
cord-186927-b8i85vo7	344	14	(	(	PUNCT
cord-186927-b8i85vo7	344	15	2.9	2.9	NUM
cord-186927-b8i85vo7	344	16	)	)	PUNCT
cord-186927-b8i85vo7	344	17	,	,	PUNCT
cord-186927-b8i85vo7	344	18	and	and	CCONJ
cord-186927-b8i85vo7	344	19	is	be	AUX
cord-186927-b8i85vo7	344	20	then	then	ADV
cord-186927-b8i85vo7	344	21	equivalent	equivalent	ADJ
cord-186927-b8i85vo7	344	22	to	to	ADP
cord-186927-b8i85vo7	344	23	solving	solve	VERB
cord-186927-b8i85vo7	344	24	the	the	DET
cord-186927-b8i85vo7	344	25	hjb	hjb	PROPN
cord-186927-b8i85vo7	344	26	equation	equation	NOUN
cord-186927-b8i85vo7	344	27	(	(	PUNCT
cord-186927-b8i85vo7	344	28	2.16	2.16	NUM
cord-186927-b8i85vo7	344	29	)	)	PUNCT
cord-186927-b8i85vo7	344	30	.	.	PUNCT
cord-186927-b8i85vo7	345	1	for	for	ADP
cord-186927-b8i85vo7	345	2	our	our	PRON
cord-186927-b8i85vo7	345	3	simulations	simulation	NOUN
cord-186927-b8i85vo7	345	4	,	,	PUNCT
cord-186927-b8i85vo7	345	5	we	we	PRON
cord-186927-b8i85vo7	345	6	choose	choose	VERB
cord-186927-b8i85vo7	345	7	a	a	DET
cord-186927-b8i85vo7	345	8	number	number	NOUN
cord-186927-b8i85vo7	345	9	of	of	ADP
cord-186927-b8i85vo7	345	10	time	time	NOUN
cord-186927-b8i85vo7	345	11	-	-	PUNCT
cord-186927-b8i85vo7	345	12	steps	step	NOUN
cord-186927-b8i85vo7	345	13	equal	equal	ADJ
cord-186927-b8i85vo7	345	14	to	to	ADP
cord-186927-b8i85vo7	345	15	200	200	NUM
cord-186927-b8i85vo7	345	16	,	,	PUNCT
cord-186927-b8i85vo7	345	17	and	and	CCONJ
cord-186927-b8i85vo7	345	18	a	a	DET
cord-186927-b8i85vo7	345	19	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	345	20	step	step	NOUN
cord-186927-b8i85vo7	345	21	equal	equal	ADJ
cord-186927-b8i85vo7	345	22	to	to	ADP
cord-186927-b8i85vo7	345	23	0.0025	0.0025	NUM
cord-186927-b8i85vo7	345	24	.	.	PUNCT
cord-186927-b8i85vo7	346	1	the	the	DET
cord-186927-b8i85vo7	346	2	interpolator	interpolator	NOUN
cord-186927-b8i85vo7	346	3	is	be	AUX
cord-186927-b8i85vo7	346	4	chosen	choose	VERB
cord-186927-b8i85vo7	346	5	linear	linear	ADJ
cord-186927-b8i85vo7	346	6	,	,	PUNCT
cord-186927-b8i85vo7	346	7	and	and	CCONJ
cord-186927-b8i85vo7	346	8	the	the	DET
cord-186927-b8i85vo7	346	9	optimal	optimal	ADJ
cord-186927-b8i85vo7	346	10	command	command	PROPN
cord-186927-b8i85vo7	346	11	b	b	PROPN
cord-186927-b8i85vo7	346	12	•	•	PUNCT
cord-186927-b8i85vo7	346	13	used	use	VERB
cord-186927-b8i85vo7	346	14	to	to	PART
cord-186927-b8i85vo7	346	15	maximise	maximise	VERB
cord-186927-b8i85vo7	346	16	the	the	DET
cord-186927-b8i85vo7	346	17	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	346	18	is	be	AUX
cord-186927-b8i85vo7	346	19	discretised	discretise	VERB
cord-186927-b8i85vo7	346	20	with	with	ADP
cord-186927-b8i85vo7	346	21	200	200	NUM
cord-186927-b8i85vo7	346	22	points	point	NOUN
cord-186927-b8i85vo7	346	23	given	give	VERB
cord-186927-b8i85vo7	346	24	a	a	DET
cord-186927-b8i85vo7	346	25	step	step	NOUN
cord-186927-b8i85vo7	346	26	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	346	27	of	of	ADP
cord-186927-b8i85vo7	346	28	0.005	0.005	NUM
cord-186927-b8i85vo7	346	29	.	.	PUNCT
cord-186927-b8i85vo7	347	1	once	once	SCONJ
cord-186927-b8i85vo7	347	2	the	the	DET
cord-186927-b8i85vo7	347	3	pde	pde	NOUN
cord-186927-b8i85vo7	347	4	is	be	AUX
cord-186927-b8i85vo7	347	5	solved	solve	VERB
cord-186927-b8i85vo7	347	6	,	,	PUNCT
cord-186927-b8i85vo7	347	7	a	a	DET
cord-186927-b8i85vo7	347	8	forward	forward	ADV
cord-186927-b8i85vo7	347	9	euler	euler	NOUN
cord-186927-b8i85vo7	347	10	scheme	scheme	NOUN
cord-186927-b8i85vo7	347	11	is	be	AUX
cord-186927-b8i85vo7	347	12	used	use	VERB
cord-186927-b8i85vo7	347	13	to	to	PART
cord-186927-b8i85vo7	347	14	obtain	obtain	VERB
cord-186927-b8i85vo7	347	15	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	347	16	of	of	ADP
cord-186927-b8i85vo7	347	17	the	the	DET
cord-186927-b8i85vo7	347	18	optimally	optimally	ADV
cord-186927-b8i85vo7	347	19	controlled	control	VERB
cord-186927-b8i85vo7	347	20	s	s	PROPN
cord-186927-b8i85vo7	347	21	and	and	CCONJ
cord-186927-b8i85vo7	347	22	i	i	NOUN
cord-186927-b8i85vo7	347	23	,	,	PUNCT
cord-186927-b8i85vo7	347	24	meaning	mean	VERB
cord-186927-b8i85vo7	347	25	with	with	ADP
cord-186927-b8i85vo7	347	26	the	the	DET
cord-186927-b8i85vo7	347	27	optimal	optimal	ADJ
cord-186927-b8i85vo7	347	28	transmission	transmission	NOUN
cord-186927-b8i85vo7	347	29	rate	rate	NOUN
cord-186927-b8i85vo7	347	30	b	b	PROPN
cord-186927-b8i85vo7	347	31	•	•	PUNCT
cord-186927-b8i85vo7	347	32	.	.	PUNCT
cord-186927-b8i85vo7	348	1	in	in	ADP
cord-186927-b8i85vo7	348	2	order	order	NOUN
cord-186927-b8i85vo7	348	3	to	to	PART
cord-186927-b8i85vo7	348	4	check	check	VERB
cord-186927-b8i85vo7	348	5	the	the	DET
cord-186927-b8i85vo7	348	6	accuracy	accuracy	NOUN
cord-186927-b8i85vo7	348	7	of	of	ADP
cord-186927-b8i85vo7	348	8	the	the	DET
cord-186927-b8i85vo7	348	9	method	method	NOUN
cord-186927-b8i85vo7	348	10	described	describe	VERB
cord-186927-b8i85vo7	348	11	in	in	ADP
cord-186927-b8i85vo7	348	12	section	section	NOUN
cord-186927-b8i85vo7	348	13	3.2	3.2	NUM
cord-186927-b8i85vo7	348	14	,	,	PUNCT
cord-186927-b8i85vo7	348	15	we	we	PRON
cord-186927-b8i85vo7	348	16	implement	implement	VERB
cord-186927-b8i85vo7	348	17	two	two	NUM
cord-186927-b8i85vo7	348	18	versions	version	NOUN
cord-186927-b8i85vo7	348	19	of	of	ADP
cord-186927-b8i85vo7	348	20	the	the	DET
cord-186927-b8i85vo7	348	21	resolution	resolution	NOUN
cord-186927-b8i85vo7	348	22	(	(	PUNCT
cord-186927-b8i85vo7	348	23	i	i	NOUN
cord-186927-b8i85vo7	348	24	)	)	PUNCT
cord-186927-b8i85vo7	348	25	the	the	DET
cord-186927-b8i85vo7	348	26	first	first	ADJ
cord-186927-b8i85vo7	348	27	version	version	NOUN
cord-186927-b8i85vo7	348	28	is	be	AUX
cord-186927-b8i85vo7	348	29	a	a	DET
cord-186927-b8i85vo7	348	30	direct	direct	ADJ
cord-186927-b8i85vo7	348	31	resolution	resolution	NOUN
cord-186927-b8i85vo7	348	32	of	of	ADP
cord-186927-b8i85vo7	348	33	(	(	PUNCT
cord-186927-b8i85vo7	348	34	2.16	2.16	NUM
cord-186927-b8i85vo7	348	35	)	)	PUNCT
cord-186927-b8i85vo7	348	36	with	with	ADP
cord-186927-b8i85vo7	348	37	the	the	DET
cord-186927-b8i85vo7	348	38	hamiltonian	hamiltonian	ADJ
cord-186927-b8i85vo7	348	39	(	(	PUNCT
cord-186927-b8i85vo7	348	40	2.15	2.15	NUM
cord-186927-b8i85vo7	348	41	)	)	PUNCT
cord-186927-b8i85vo7	348	42	;	;	PUNCT
cord-186927-b8i85vo7	348	43	(	(	PUNCT
cord-186927-b8i85vo7	348	44	ii	ii	PROPN
cord-186927-b8i85vo7	348	45	)	)	PUNCT
cord-186927-b8i85vo7	348	46	the	the	DET
cord-186927-b8i85vo7	348	47	second	second	ADJ
cord-186927-b8i85vo7	348	48	one	one	NOUN
cord-186927-b8i85vo7	348	49	relies	rely	VERB
cord-186927-b8i85vo7	348	50	on	on	ADP
cord-186927-b8i85vo7	348	51	a	a	DET
cord-186927-b8i85vo7	348	52	change	change	NOUN
cord-186927-b8i85vo7	348	53	of	of	ADP
cord-186927-b8i85vo7	348	54	variable	variable	NOUN
cord-186927-b8i85vo7	348	55	.	.	PUNCT
cord-186927-b8i85vo7	349	1	more	more	ADV
cord-186927-b8i85vo7	349	2	precisely	precisely	ADV
cord-186927-b8i85vo7	349	3	,	,	PUNCT
cord-186927-b8i85vo7	349	4	we	we	PRON
cord-186927-b8i85vo7	349	5	consider	consider	VERB
cord-186927-b8i85vo7	349	6	(	(	PUNCT
cord-186927-b8i85vo7	349	7	s	s	X
cord-186927-b8i85vo7	349	8	,	,	PUNCT
cord-186927-b8i85vo7	349	9	x	x	PUNCT
cord-186927-b8i85vo7	349	10	:	:	PUNCT
cord-186927-b8i85vo7	350	1	=	=	PROPN
cord-186927-b8i85vo7	350	2	(	(	PUNCT
cord-186927-b8i85vo7	350	3	s	s	NOUN
cord-186927-b8i85vo7	350	4	+	+	X
cord-186927-b8i85vo7	350	5	i	i	NOUN
cord-186927-b8i85vo7	350	6	)	)	PUNCT
cord-186927-b8i85vo7	350	7	)	)	PUNCT
cord-186927-b8i85vo7	350	8	as	as	ADP
cord-186927-b8i85vo7	350	9	state	state	NOUN
cord-186927-b8i85vo7	350	10	variables	variable	NOUN
cord-186927-b8i85vo7	350	11	,	,	PUNCT
cord-186927-b8i85vo7	350	12	instead	instead	ADV
cord-186927-b8i85vo7	350	13	of	of	ADP
cord-186927-b8i85vo7	350	14	(	(	PUNCT
cord-186927-b8i85vo7	350	15	s	s	PROPN
cord-186927-b8i85vo7	350	16	,	,	PUNCT
cord-186927-b8i85vo7	350	17	i	i	NOUN
cord-186927-b8i85vo7	350	18	)	)	PUNCT
cord-186927-b8i85vo7	350	19	,	,	PUNCT
cord-186927-b8i85vo7	350	20	and	and	CCONJ
cord-186927-b8i85vo7	350	21	then	then	ADV
cord-186927-b8i85vo7	350	22	solve	solve	VERB
cord-186927-b8i85vo7	350	23	the	the	DET
cord-186927-b8i85vo7	350	24	problem	problem	NOUN
cord-186927-b8i85vo7	350	25	(	(	PUNCT
cord-186927-b8i85vo7	350	26	2.16	2.16	NUM
cord-186927-b8i85vo7	350	27	)	)	PUNCT
cord-186927-b8i85vo7	350	28	,	,	PUNCT
cord-186927-b8i85vo7	350	29	but	but	CCONJ
cord-186927-b8i85vo7	350	30	with	with	ADP
cord-186927-b8i85vo7	350	31	a	a	DET
cord-186927-b8i85vo7	350	32	slightly	slightly	ADV
cord-186927-b8i85vo7	350	33	modified	modify	VERB
cord-186927-b8i85vo7	350	34	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	350	35	to	to	PART
cord-186927-b8i85vo7	350	36	take	take	VERB
cord-186927-b8i85vo7	350	37	into	into	ADP
cord-186927-b8i85vo7	350	38	account	account	NOUN
cord-186927-b8i85vo7	350	39	this	this	DET
cord-186927-b8i85vo7	350	40	change	change	NOUN
cord-186927-b8i85vo7	350	41	of	of	ADP
cord-186927-b8i85vo7	350	42	variable	variable	NOUN
cord-186927-b8i85vo7	350	43	the	the	DET
cord-186927-b8i85vo7	350	44	advantage	advantage	NOUN
cord-186927-b8i85vo7	350	45	of	of	ADP
cord-186927-b8i85vo7	350	46	the	the	DET
cord-186927-b8i85vo7	350	47	second	second	ADJ
cord-186927-b8i85vo7	350	48	representation	representation	NOUN
cord-186927-b8i85vo7	350	49	is	be	AUX
cord-186927-b8i85vo7	350	50	that	that	SCONJ
cord-186927-b8i85vo7	350	51	the	the	DET
cord-186927-b8i85vo7	350	52	dispersion	dispersion	NOUN
cord-186927-b8i85vo7	350	53	of	of	ADP
cord-186927-b8i85vo7	350	54	i	i	PRON
cord-186927-b8i85vo7	350	55	t	t	NOUN
cord-186927-b8i85vo7	350	56	+	+	CCONJ
cord-186927-b8i85vo7	350	57	s	s	PUNCT
cord-186927-b8i85vo7	351	1	t	t	NOUN
cord-186927-b8i85vo7	351	2	is	be	AUX
cord-186927-b8i85vo7	351	3	zero	zero	NUM
cord-186927-b8i85vo7	351	4	and	and	CCONJ
cord-186927-b8i85vo7	351	5	thus	thus	ADV
cord-186927-b8i85vo7	351	6	smaller	small	ADJ
cord-186927-b8i85vo7	351	7	than	than	ADP
cord-186927-b8i85vo7	351	8	the	the	DET
cord-186927-b8i85vo7	351	9	one	one	NUM
cord-186927-b8i85vo7	351	10	of	of	ADP
cord-186927-b8i85vo7	351	11	i	i	PRON
cord-186927-b8i85vo7	351	12	t	t	NOUN
cord-186927-b8i85vo7	351	13	,	,	PUNCT
cord-186927-b8i85vo7	351	14	leading	lead	VERB
cord-186927-b8i85vo7	351	15	to	to	ADP
cord-186927-b8i85vo7	351	16	the	the	DET
cord-186927-b8i85vo7	351	17	use	use	NOUN
cord-186927-b8i85vo7	351	18	of	of	ADP
cord-186927-b8i85vo7	351	19	grids	grid	NOUN
cord-186927-b8i85vo7	351	20	with	with	ADP
cord-186927-b8i85vo7	351	21	a	a	DET
cord-186927-b8i85vo7	351	22	smaller	small	ADJ
cord-186927-b8i85vo7	351	23	number	number	NOUN
cord-186927-b8i85vo7	351	24	of	of	ADP
cord-186927-b8i85vo7	351	25	points	point	NOUN
cord-186927-b8i85vo7	351	26	.	.	PUNCT
cord-186927-b8i85vo7	352	1	first	first	ADV
cord-186927-b8i85vo7	352	2	,	,	PUNCT
cord-186927-b8i85vo7	352	3	to	to	PART
cord-186927-b8i85vo7	352	4	give	give	VERB
cord-186927-b8i85vo7	352	5	an	an	DET
cord-186927-b8i85vo7	352	6	overview	overview	NOUN
cord-186927-b8i85vo7	352	7	of	of	ADP
cord-186927-b8i85vo7	352	8	the	the	DET
cord-186927-b8i85vo7	352	9	overall	overall	ADJ
cord-186927-b8i85vo7	352	10	trend	trend	NOUN
cord-186927-b8i85vo7	352	11	,	,	PUNCT
cord-186927-b8i85vo7	352	12	we	we	PRON
cord-186927-b8i85vo7	352	13	plot	plot	VERB
cord-186927-b8i85vo7	352	14	,	,	PUNCT
cord-186927-b8i85vo7	352	15	on	on	ADP
cord-186927-b8i85vo7	352	16	figure	figure	NOUN
cord-186927-b8i85vo7	352	17	3	3	NUM
cord-186927-b8i85vo7	352	18	,	,	PUNCT
cord-186927-b8i85vo7	352	19	100	100	NUM
cord-186927-b8i85vo7	352	20	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	352	21	of	of	ADP
cord-186927-b8i85vo7	352	22	the	the	DET
cord-186927-b8i85vo7	352	23	optimal	optimal	ADJ
cord-186927-b8i85vo7	352	24	interaction	interaction	NOUN
cord-186927-b8i85vo7	352	25	rate	rate	NOUN
cord-186927-b8i85vo7	352	26	β	β	NOUN
cord-186927-b8i85vo7	352	27	,	,	PUNCT
cord-186927-b8i85vo7	352	28	and	and	CCONJ
cord-186927-b8i85vo7	352	29	the	the	DET
cord-186927-b8i85vo7	352	30	associated	associate	VERB
cord-186927-b8i85vo7	352	31	proportions	proportion	NOUN
cord-186927-b8i85vo7	352	32	s	s	PART
cord-186927-b8i85vo7	352	33	t	t	PROPN
cord-186927-b8i85vo7	352	34	and	and	CCONJ
cord-186927-b8i85vo7	352	35	i	i	PRON
cord-186927-b8i85vo7	352	36	t	t	NOUN
cord-186927-b8i85vo7	352	37	of	of	ADP
cord-186927-b8i85vo7	352	38	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	352	39	and	and	CCONJ
cord-186927-b8i85vo7	352	40	infected	infect	VERB
cord-186927-b8i85vo7	352	41	,	,	PUNCT
cord-186927-b8i85vo7	352	42	using	use	VERB
cord-186927-b8i85vo7	352	43	the	the	DET
cord-186927-b8i85vo7	352	44	resolution	resolution	NOUN
cord-186927-b8i85vo7	352	45	method	method	NOUN
cord-186927-b8i85vo7	352	46	(	(	PUNCT
cord-186927-b8i85vo7	352	47	i	i	NOUN
cord-186927-b8i85vo7	352	48	)	)	PUNCT
cord-186927-b8i85vo7	352	49	mentioned	mention	VERB
cord-186927-b8i85vo7	352	50	above	above	ADV
cord-186927-b8i85vo7	352	51	,	,	PUNCT
cord-186927-b8i85vo7	352	52	i.e.	i.e.	X
cord-186927-b8i85vo7	352	53	,	,	PUNCT
cord-186927-b8i85vo7	352	54	with	with	ADP
cord-186927-b8i85vo7	352	55	state	state	NOUN
cord-186927-b8i85vo7	352	56	variables	variable	NOUN
cord-186927-b8i85vo7	352	57	(	(	PUNCT
cord-186927-b8i85vo7	352	58	s	s	PROPN
cord-186927-b8i85vo7	352	59	,	,	PUNCT
cord-186927-b8i85vo7	352	60	i	i	NOUN
cord-186927-b8i85vo7	352	61	)	)	PUNCT
cord-186927-b8i85vo7	352	62	.	.	PUNCT
cord-186927-b8i85vo7	353	1	for	for	ADP
cord-186927-b8i85vo7	353	2	more	more	ADV
cord-186927-b8i85vo7	353	3	accurate	accurate	ADJ
cord-186927-b8i85vo7	353	4	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	353	5	,	,	PUNCT
cord-186927-b8i85vo7	353	6	we	we	PRON
cord-186927-b8i85vo7	353	7	compare	compare	VERB
cord-186927-b8i85vo7	353	8	on	on	ADP
cord-186927-b8i85vo7	353	9	figure	figure	NOUN
cord-186927-b8i85vo7	353	10	4	4	NUM
cord-186927-b8i85vo7	353	11	two	two	NUM
cord-186927-b8i85vo7	353	12	different	different	ADJ
cord-186927-b8i85vo7	353	13	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	353	14	of	of	ADP
cord-186927-b8i85vo7	353	15	the	the	DET
cord-186927-b8i85vo7	353	16	optimal	optimal	ADJ
cord-186927-b8i85vo7	353	17	interaction	interaction	NOUN
cord-186927-b8i85vo7	353	18	rate	rate	NOUN
cord-186927-b8i85vo7	353	19	β	β	NOUN
cord-186927-b8i85vo7	353	20	,	,	PUNCT
cord-186927-b8i85vo7	353	21	together	together	ADV
cord-186927-b8i85vo7	353	22	with	with	ADP
cord-186927-b8i85vo7	353	23	the	the	DET
cord-186927-b8i85vo7	353	24	corresponding	corresponding	ADJ
cord-186927-b8i85vo7	353	25	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	353	26	of	of	ADP
cord-186927-b8i85vo7	353	27	the	the	DET
cord-186927-b8i85vo7	353	28	proportion	proportion	NOUN
cord-186927-b8i85vo7	353	29	i	i	PRON
cord-186927-b8i85vo7	353	30	of	of	ADP
cord-186927-b8i85vo7	353	31	infected	infected	PROPN
cord-186927-b8i85vo7	353	32	.	.	PUNCT
cord-186927-b8i85vo7	354	1	for	for	ADP
cord-186927-b8i85vo7	354	2	these	these	DET
cord-186927-b8i85vo7	354	3	two	two	NUM
cord-186927-b8i85vo7	354	4	simulations	simulation	NOUN
cord-186927-b8i85vo7	354	5	,	,	PUNCT
cord-186927-b8i85vo7	354	6	we	we	PRON
cord-186927-b8i85vo7	354	7	compare	compare	VERB
cord-186927-b8i85vo7	354	8	the	the	DET
cord-186927-b8i85vo7	354	9	results	result	NOUN
cord-186927-b8i85vo7	354	10	given	give	VERB
cord-186927-b8i85vo7	354	11	by	by	ADP
cord-186927-b8i85vo7	354	12	the	the	DET
cord-186927-b8i85vo7	354	13	two	two	NUM
cord-186927-b8i85vo7	354	14	aforementioned	aforementioned	ADJ
cord-186927-b8i85vo7	354	15	methods	method	NOUN
cord-186927-b8i85vo7	354	16	.	.	PUNCT
cord-186927-b8i85vo7	355	1	more	more	ADV
cord-186927-b8i85vo7	355	2	precisely	precisely	ADV
cord-186927-b8i85vo7	355	3	,	,	PUNCT
cord-186927-b8i85vo7	355	4	while	while	SCONJ
cord-186927-b8i85vo7	355	5	the	the	DET
cord-186927-b8i85vo7	355	6	blue	blue	ADJ
cord-186927-b8i85vo7	355	7	curve	curve	NOUN
cord-186927-b8i85vo7	355	8	is	be	AUX
cord-186927-b8i85vo7	355	9	obtained	obtain	VERB
cord-186927-b8i85vo7	355	10	through	through	ADP
cord-186927-b8i85vo7	355	11	the	the	DET
cord-186927-b8i85vo7	355	12	direct	direct	ADJ
cord-186927-b8i85vo7	355	13	resolution	resolution	NOUN
cord-186927-b8i85vo7	355	14	,	,	PUNCT
cord-186927-b8i85vo7	355	15	the	the	DET
cord-186927-b8i85vo7	355	16	orange	orange	PROPN
cord-186927-b8i85vo7	355	17	one	one	NUM
cord-186927-b8i85vo7	355	18	results	result	VERB
cord-186927-b8i85vo7	355	19	from	from	ADP
cord-186927-b8i85vo7	355	20	the	the	DET
cord-186927-b8i85vo7	355	21	second	second	ADJ
cord-186927-b8i85vo7	355	22	method	method	NOUN
cord-186927-b8i85vo7	355	23	,	,	PUNCT
cord-186927-b8i85vo7	355	24	i.e.	i.e.	X
cord-186927-b8i85vo7	355	25	,	,	PUNCT
cord-186927-b8i85vo7	355	26	with	with	ADP
cord-186927-b8i85vo7	355	27	state	state	NOUN
cord-186927-b8i85vo7	355	28	variables	variable	NOUN
cord-186927-b8i85vo7	355	29	(	(	PUNCT
cord-186927-b8i85vo7	355	30	s	s	PROPN
cord-186927-b8i85vo7	355	31	,	,	PUNCT
cord-186927-b8i85vo7	355	32	s	s	PROPN
cord-186927-b8i85vo7	355	33	−	−	PROPN
cord-186927-b8i85vo7	355	34	i	i	NOUN
cord-186927-b8i85vo7	355	35	)	)	PUNCT
cord-186927-b8i85vo7	355	36	.	.	PUNCT
cord-186927-b8i85vo7	356	1	finally	finally	ADV
cord-186927-b8i85vo7	356	2	,	,	PUNCT
cord-186927-b8i85vo7	356	3	on	on	ADP
cord-186927-b8i85vo7	356	4	figures	figure	NOUN
cord-186927-b8i85vo7	356	5	5	5	NUM
cord-186927-b8i85vo7	356	6	and	and	CCONJ
cord-186927-b8i85vo7	356	7	6	6	NUM
cord-186927-b8i85vo7	356	8	,	,	PUNCT
cord-186927-b8i85vo7	356	9	we	we	PRON
cord-186927-b8i85vo7	356	10	test	test	VERB
cord-186927-b8i85vo7	356	11	the	the	DET
cord-186927-b8i85vo7	356	12	influence	influence	NOUN
cord-186927-b8i85vo7	356	13	of	of	ADP
cord-186927-b8i85vo7	356	14	the	the	DET
cord-186927-b8i85vo7	356	15	parameter	parameter	NOUN
cord-186927-b8i85vo7	356	16	τ	τ	NOUN
cord-186927-b8i85vo7	356	17	p	p	NOUN
cord-186927-b8i85vo7	356	18	by	by	ADP
cord-186927-b8i85vo7	356	19	setting	set	VERB
cord-186927-b8i85vo7	356	20	τ	τ	PROPN
cord-186927-b8i85vo7	356	21	p	p	NOUN
cord-186927-b8i85vo7	356	22	=	=	NOUN
cord-186927-b8i85vo7	356	23	0.01	0.01	NUM
cord-186927-b8i85vo7	356	24	,	,	PUNCT
cord-186927-b8i85vo7	356	25	instead	instead	ADV
cord-186927-b8i85vo7	356	26	of	of	ADP
cord-186927-b8i85vo7	356	27	0	0	X
cord-186927-b8i85vo7	356	28	.	.	PUNCT
cord-186927-b8i85vo7	357	1	proportion	proportion	NOUN
cord-186927-b8i85vo7	357	2	i	i	PRON
cord-186927-b8i85vo7	357	3	of	of	ADP
cord-186927-b8i85vo7	357	4	infected	infected	ADJ
cord-186927-b8i85vo7	357	5	proportion	proportion	NOUN
cord-186927-b8i85vo7	357	6	s	s	NOUN
cord-186927-b8i85vo7	357	7	of	of	ADP
cord-186927-b8i85vo7	357	8	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	357	9	voluntary	voluntary	ADJ
cord-186927-b8i85vo7	357	10	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	357	11	of	of	ADP
cord-186927-b8i85vo7	357	12	the	the	DET
cord-186927-b8i85vo7	357	13	population	population	NOUN
cord-186927-b8i85vo7	357	14	.	.	PUNCT
cord-186927-b8i85vo7	358	1	as	as	SCONJ
cord-186927-b8i85vo7	358	2	expected	expect	VERB
cord-186927-b8i85vo7	358	3	,	,	PUNCT
cord-186927-b8i85vo7	358	4	the	the	DET
cord-186927-b8i85vo7	358	5	optimal	optimal	ADJ
cord-186927-b8i85vo7	358	6	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	358	7	β	β	NOUN
cord-186927-b8i85vo7	358	8	is	be	AUX
cord-186927-b8i85vo7	358	9	to	to	PART
cord-186927-b8i85vo7	358	10	start	start	VERB
cord-186927-b8i85vo7	358	11	close	close	ADV
cord-186927-b8i85vo7	358	12	to	to	ADP
cord-186927-b8i85vo7	358	13	β	β	PROPN
cord-186927-b8i85vo7	358	14	,	,	PUNCT
cord-186927-b8i85vo7	358	15	then	then	ADV
cord-186927-b8i85vo7	358	16	we	we	PRON
cord-186927-b8i85vo7	358	17	note	note	VERB
cord-186927-b8i85vo7	358	18	that	that	SCONJ
cord-186927-b8i85vo7	358	19	β	β	PROPN
cord-186927-b8i85vo7	358	20	decreases	decrease	VERB
cord-186927-b8i85vo7	358	21	as	as	SCONJ
cord-186927-b8i85vo7	358	22	the	the	DET
cord-186927-b8i85vo7	358	23	disease	disease	NOUN
cord-186927-b8i85vo7	358	24	spreads	spread	VERB
cord-186927-b8i85vo7	358	25	in	in	ADP
cord-186927-b8i85vo7	358	26	the	the	DET
cord-186927-b8i85vo7	358	27	population	population	NOUN
cord-186927-b8i85vo7	358	28	.	.	PUNCT
cord-186927-b8i85vo7	359	1	more	more	ADV
cord-186927-b8i85vo7	359	2	specifically	specifically	ADV
cord-186927-b8i85vo7	359	3	,	,	PUNCT
cord-186927-b8i85vo7	359	4	two	two	NUM
cord-186927-b8i85vo7	359	5	waves	wave	NOUN
cord-186927-b8i85vo7	359	6	of	of	ADP
cord-186927-b8i85vo7	359	7	effort	effort	NOUN
cord-186927-b8i85vo7	359	8	can	can	AUX
cord-186927-b8i85vo7	359	9	be	be	AUX
cord-186927-b8i85vo7	359	10	observed	observe	VERB
cord-186927-b8i85vo7	359	11	:	:	PUNCT
cord-186927-b8i85vo7	359	12	the	the	DET
cord-186927-b8i85vo7	359	13	first	first	ADJ
cord-186927-b8i85vo7	359	14	one	one	NUM
cord-186927-b8i85vo7	359	15	delays	delay	VERB
cord-186927-b8i85vo7	359	16	the	the	DET
cord-186927-b8i85vo7	359	17	acceleration	acceleration	NOUN
cord-186927-b8i85vo7	359	18	of	of	ADP
cord-186927-b8i85vo7	359	19	the	the	DET
cord-186927-b8i85vo7	359	20	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	359	21	,	,	PUNCT
cord-186927-b8i85vo7	359	22	and	and	CCONJ
cord-186927-b8i85vo7	359	23	the	the	DET
cord-186927-b8i85vo7	359	24	second	second	ADJ
cord-186927-b8i85vo7	359	25	,	,	PUNCT
cord-186927-b8i85vo7	359	26	generally	generally	ADV
cord-186927-b8i85vo7	359	27	more	more	ADV
cord-186927-b8i85vo7	359	28	significant	significant	ADJ
cord-186927-b8i85vo7	359	29	,	,	PUNCT
cord-186927-b8i85vo7	359	30	takes	take	VERB
cord-186927-b8i85vo7	359	31	place	place	NOUN
cord-186927-b8i85vo7	359	32	during	during	ADP
cord-186927-b8i85vo7	359	33	the	the	DET
cord-186927-b8i85vo7	359	34	peak	peak	NOUN
cord-186927-b8i85vo7	359	35	of	of	ADP
cord-186927-b8i85vo7	359	36	the	the	DET
cord-186927-b8i85vo7	359	37	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	359	38	.	.	PUNCT
cord-186927-b8i85vo7	360	1	approaching	approach	VERB
cord-186927-b8i85vo7	360	2	the	the	DET
cord-186927-b8i85vo7	360	3	fixed	fixed	ADJ
cord-186927-b8i85vo7	360	4	maturity	maturity	NOUN
cord-186927-b8i85vo7	360	5	,	,	PUNCT
cord-186927-b8i85vo7	360	6	individuals	individual	NOUN
cord-186927-b8i85vo7	360	7	come	come	VERB
cord-186927-b8i85vo7	360	8	back	back	ADV
cord-186927-b8i85vo7	360	9	to	to	ADP
cord-186927-b8i85vo7	360	10	their	their	PRON
cord-186927-b8i85vo7	360	11	usual	usual	ADJ
cord-186927-b8i85vo7	360	12	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	360	13	β	β	NOUN
cord-186927-b8i85vo7	360	14	.	.	PUNCT
cord-186927-b8i85vo7	361	1	however	however	ADV
cord-186927-b8i85vo7	361	2	,	,	PUNCT
cord-186927-b8i85vo7	361	3	even	even	ADV
cord-186927-b8i85vo7	361	4	if	if	SCONJ
cord-186927-b8i85vo7	361	5	the	the	DET
cord-186927-b8i85vo7	361	6	population	population	NOUN
cord-186927-b8i85vo7	361	7	chooses	choose	VERB
cord-186927-b8i85vo7	361	8	to	to	PART
cord-186927-b8i85vo7	361	9	decrease	decrease	VERB
cord-186927-b8i85vo7	361	10	the	the	DET
cord-186927-b8i85vo7	361	11	interaction	interaction	NOUN
cord-186927-b8i85vo7	361	12	rate	rate	NOUN
cord-186927-b8i85vo7	361	13	among	among	ADP
cord-186927-b8i85vo7	361	14	individuals	individual	NOUN
cord-186927-b8i85vo7	361	15	,	,	PUNCT
cord-186927-b8i85vo7	361	16	the	the	DET
cord-186927-b8i85vo7	361	17	range	range	NOUN
cord-186927-b8i85vo7	361	18	of	of	ADP
cord-186927-b8i85vo7	361	19	β	β	NOUN
cord-186927-b8i85vo7	361	20	stays	stay	VERB
cord-186927-b8i85vo7	361	21	quite	quite	ADV
cord-186927-b8i85vo7	361	22	small	small	ADJ
cord-186927-b8i85vo7	361	23	with	with	ADP
cord-186927-b8i85vo7	361	24	minimum	minimum	NOUN
cord-186927-b8i85vo7	361	25	0.16	0.16	NUM
cord-186927-b8i85vo7	361	26	and	and	CCONJ
cord-186927-b8i85vo7	361	27	maximum	maximum	ADJ
cord-186927-b8i85vo7	361	28	β	β	NOUN
cord-186927-b8i85vo7	361	29	=	=	NOUN
cord-186927-b8i85vo7	361	30	0.2	0.2	NUM
cord-186927-b8i85vo7	361	31	.	.	PUNCT
cord-186927-b8i85vo7	362	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	362	2	effort	effort	NOUN
cord-186927-b8i85vo7	362	3	%	%	NOUN
cord-186927-b8i85vo7	362	4	of	of	ADP
cord-186927-b8i85vo7	362	5	infected	infect	VERB
cord-186927-b8i85vo7	362	6	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	362	7	with	with	ADP
cord-186927-b8i85vo7	362	8	respect	respect	NOUN
cord-186927-b8i85vo7	362	9	to	to	ADP
cord-186927-b8i85vo7	362	10	the	the	DET
cord-186927-b8i85vo7	362	11	method	method	NOUN
cord-186927-b8i85vo7	362	12	.	.	PUNCT
cord-186927-b8i85vo7	363	1	as	as	SCONJ
cord-186927-b8i85vo7	363	2	we	we	PRON
cord-186927-b8i85vo7	363	3	can	can	AUX
cord-186927-b8i85vo7	363	4	notice	notice	VERB
cord-186927-b8i85vo7	363	5	in	in	ADP
cord-186927-b8i85vo7	363	6	figure	figure	NOUN
cord-186927-b8i85vo7	363	7	4	4	NUM
cord-186927-b8i85vo7	363	8	(	(	PUNCT
cord-186927-b8i85vo7	363	9	top	top	NOUN
cord-186927-b8i85vo7	363	10	)	)	PUNCT
cord-186927-b8i85vo7	363	11	,	,	PUNCT
cord-186927-b8i85vo7	363	12	the	the	DET
cord-186927-b8i85vo7	363	13	optimal	optimal	ADJ
cord-186927-b8i85vo7	363	14	effort	effort	NOUN
cord-186927-b8i85vo7	363	15	obtained	obtain	VERB
cord-186927-b8i85vo7	363	16	for	for	ADP
cord-186927-b8i85vo7	363	17	these	these	DET
cord-186927-b8i85vo7	363	18	two	two	NUM
cord-186927-b8i85vo7	363	19	simulations	simulation	NOUN
cord-186927-b8i85vo7	363	20	exhibits	exhibit	VERB
cord-186927-b8i85vo7	363	21	the	the	DET
cord-186927-b8i85vo7	363	22	same	same	ADJ
cord-186927-b8i85vo7	363	23	features	feature	NOUN
cord-186927-b8i85vo7	363	24	as	as	ADP
cord-186927-b8i85vo7	363	25	those	those	PRON
cord-186927-b8i85vo7	363	26	previously	previously	ADV
cord-186927-b8i85vo7	363	27	described	describe	VERB
cord-186927-b8i85vo7	363	28	.	.	PUNCT
cord-186927-b8i85vo7	364	1	moreover	moreover	ADV
cord-186927-b8i85vo7	364	2	,	,	PUNCT
cord-186927-b8i85vo7	364	3	the	the	DET
cord-186927-b8i85vo7	364	4	blue	blue	ADJ
cord-186927-b8i85vo7	364	5	curve	curve	NOUN
cord-186927-b8i85vo7	364	6	and	and	CCONJ
cord-186927-b8i85vo7	364	7	the	the	DET
cord-186927-b8i85vo7	364	8	orange	orange	PROPN
cord-186927-b8i85vo7	364	9	curve	curve	NOUN
cord-186927-b8i85vo7	364	10	,	,	PUNCT
cord-186927-b8i85vo7	364	11	representing	represent	VERB
cord-186927-b8i85vo7	364	12	respectively	respectively	ADV
cord-186927-b8i85vo7	364	13	the	the	DET
cord-186927-b8i85vo7	364	14	results	result	NOUN
cord-186927-b8i85vo7	364	15	of	of	ADP
cord-186927-b8i85vo7	364	16	the	the	DET
cord-186927-b8i85vo7	364	17	two	two	NUM
cord-186927-b8i85vo7	364	18	aforementioned	aforementioned	ADJ
cord-186927-b8i85vo7	364	19	methods	method	NOUN
cord-186927-b8i85vo7	364	20	,	,	PUNCT
cord-186927-b8i85vo7	364	21	are	be	AUX
cord-186927-b8i85vo7	364	22	very	very	ADV
cord-186927-b8i85vo7	364	23	close	close	ADJ
cord-186927-b8i85vo7	364	24	,	,	PUNCT
cord-186927-b8i85vo7	364	25	except	except	SCONJ
cord-186927-b8i85vo7	364	26	at	at	ADP
cord-186927-b8i85vo7	364	27	the	the	DET
cord-186927-b8i85vo7	364	28	beginning	beginning	NOUN
cord-186927-b8i85vo7	364	29	of	of	ADP
cord-186927-b8i85vo7	364	30	the	the	DET
cord-186927-b8i85vo7	364	31	time	time	NOUN
cord-186927-b8i85vo7	364	32	interval	interval	NOUN
cord-186927-b8i85vo7	364	33	,	,	PUNCT
cord-186927-b8i85vo7	364	34	probably	probably	ADV
cord-186927-b8i85vo7	364	35	because	because	SCONJ
cord-186927-b8i85vo7	364	36	of	of	ADP
cord-186927-b8i85vo7	364	37	the	the	DET
cord-186927-b8i85vo7	364	38	very	very	ADV
cord-186927-b8i85vo7	364	39	small	small	ADJ
cord-186927-b8i85vo7	364	40	initial	initial	ADJ
cord-186927-b8i85vo7	364	41	value	value	NOUN
cord-186927-b8i85vo7	364	42	i	i	NOUN
cord-186927-b8i85vo7	364	43	0	0	X
cord-186927-b8i85vo7	364	44	.	.	PUNCT
cord-186927-b8i85vo7	365	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	365	2	,	,	PUNCT
cord-186927-b8i85vo7	365	3	we	we	PRON
cord-186927-b8i85vo7	365	4	can	can	AUX
cord-186927-b8i85vo7	365	5	see	see	VERB
cord-186927-b8i85vo7	365	6	on	on	ADP
cord-186927-b8i85vo7	365	7	the	the	DET
cord-186927-b8i85vo7	365	8	bottom	bottom	ADJ
cord-186927-b8i85vo7	365	9	graphs	graph	NOUN
cord-186927-b8i85vo7	365	10	that	that	PRON
cord-186927-b8i85vo7	365	11	the	the	DET
cord-186927-b8i85vo7	365	12	two	two	NUM
cord-186927-b8i85vo7	365	13	methods	method	NOUN
cord-186927-b8i85vo7	365	14	lead	lead	VERB
cord-186927-b8i85vo7	365	15	to	to	ADP
cord-186927-b8i85vo7	365	16	the	the	DET
cord-186927-b8i85vo7	365	17	same	same	ADJ
cord-186927-b8i85vo7	365	18	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	365	19	for	for	ADP
cord-186927-b8i85vo7	365	20	the	the	DET
cord-186927-b8i85vo7	365	21	proportion	proportion	NOUN
cord-186927-b8i85vo7	365	22	of	of	ADP
cord-186927-b8i85vo7	365	23	infected	infect	VERB
cord-186927-b8i85vo7	365	24	,	,	PUNCT
cord-186927-b8i85vo7	365	25	since	since	SCONJ
cord-186927-b8i85vo7	365	26	the	the	DET
cord-186927-b8i85vo7	365	27	two	two	NUM
cord-186927-b8i85vo7	365	28	curves	curve	NOUN
cord-186927-b8i85vo7	365	29	,	,	PUNCT
cord-186927-b8i85vo7	365	30	blue	blue	ADJ
cord-186927-b8i85vo7	365	31	and	and	CCONJ
cord-186927-b8i85vo7	365	32	orange	orange	ADJ
cord-186927-b8i85vo7	365	33	,	,	PUNCT
cord-186927-b8i85vo7	365	34	are	be	AUX
cord-186927-b8i85vo7	365	35	almost	almost	ADV
cord-186927-b8i85vo7	365	36	superposed	superpose	VERB
cord-186927-b8i85vo7	365	37	.	.	PUNCT
cord-186927-b8i85vo7	366	1	therefore	therefore	ADV
cord-186927-b8i85vo7	366	2	,	,	PUNCT
cord-186927-b8i85vo7	366	3	a	a	DET
cord-186927-b8i85vo7	366	4	small	small	ADJ
cord-186927-b8i85vo7	366	5	error	error	NOUN
cord-186927-b8i85vo7	366	6	on	on	ADP
cord-186927-b8i85vo7	366	7	the	the	DET
cord-186927-b8i85vo7	366	8	computation	computation	NOUN
cord-186927-b8i85vo7	366	9	of	of	ADP
cord-186927-b8i85vo7	366	10	the	the	DET
cord-186927-b8i85vo7	366	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	366	12	effort	effort	NOUN
cord-186927-b8i85vo7	366	13	at	at	ADP
cord-186927-b8i85vo7	366	14	the	the	DET
cord-186927-b8i85vo7	366	15	beginning	beginning	NOUN
cord-186927-b8i85vo7	366	16	does	do	AUX
cord-186927-b8i85vo7	366	17	not	not	PART
cord-186927-b8i85vo7	366	18	impact	impact	VERB
cord-186927-b8i85vo7	366	19	the	the	DET
cord-186927-b8i85vo7	366	20	optimally	optimally	ADV
cord-186927-b8i85vo7	366	21	controlled	control	VERB
cord-186927-b8i85vo7	366	22	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	366	23	of	of	ADP
cord-186927-b8i85vo7	366	24	i.	i.	PROPN
cord-186927-b8i85vo7	366	25	the	the	DET
cord-186927-b8i85vo7	366	26	resolution	resolution	NOUN
cord-186927-b8i85vo7	366	27	with	with	ADP
cord-186927-b8i85vo7	366	28	respect	respect	NOUN
cord-186927-b8i85vo7	366	29	to	to	ADP
cord-186927-b8i85vo7	366	30	(	(	PUNCT
cord-186927-b8i85vo7	366	31	s	s	PROPN
cord-186927-b8i85vo7	366	32	,	,	PUNCT
cord-186927-b8i85vo7	366	33	s	s	PROPN
cord-186927-b8i85vo7	366	34	+	+	CCONJ
cord-186927-b8i85vo7	366	35	i	i	NOUN
cord-186927-b8i85vo7	366	36	)	)	PUNCT
cord-186927-b8i85vo7	366	37	seems	seem	VERB
cord-186927-b8i85vo7	366	38	to	to	PART
cord-186927-b8i85vo7	366	39	be	be	AUX
cord-186927-b8i85vo7	366	40	more	more	ADV
cord-186927-b8i85vo7	366	41	regular	regular	ADJ
cord-186927-b8i85vo7	366	42	,	,	PUNCT
cord-186927-b8i85vo7	366	43	and	and	CCONJ
cord-186927-b8i85vo7	366	44	may	may	AUX
cord-186927-b8i85vo7	366	45	give	give	VERB
cord-186927-b8i85vo7	366	46	a	a	DET
cord-186927-b8i85vo7	366	47	command	command	NOUN
cord-186927-b8i85vo7	366	48	closer	close	ADJ
cord-186927-b8i85vo7	366	49	to	to	ADP
cord-186927-b8i85vo7	366	50	the	the	DET
cord-186927-b8i85vo7	366	51	analytical	analytical	ADJ
cord-186927-b8i85vo7	366	52	one	one	NUM
cord-186927-b8i85vo7	366	53	.	.	PUNCT
cord-186927-b8i85vo7	367	1	the	the	DET
cord-186927-b8i85vo7	367	2	fear	fear	NOUN
cord-186927-b8i85vo7	367	3	of	of	ADP
cord-186927-b8i85vo7	367	4	the	the	DET
cord-186927-b8i85vo7	367	5	infection	infection	NOUN
cord-186927-b8i85vo7	367	6	is	be	AUX
cord-186927-b8i85vo7	367	7	not	not	PART
cord-186927-b8i85vo7	367	8	enough	enough	ADJ
cord-186927-b8i85vo7	367	9	.	.	PUNCT
cord-186927-b8i85vo7	368	1	without	without	ADP
cord-186927-b8i85vo7	368	2	a	a	DET
cord-186927-b8i85vo7	368	3	proper	proper	ADJ
cord-186927-b8i85vo7	368	4	government	government	NOUN
cord-186927-b8i85vo7	368	5	policy	policy	NOUN
cord-186927-b8i85vo7	368	6	to	to	PART
cord-186927-b8i85vo7	368	7	encourage	encourage	VERB
cord-186927-b8i85vo7	368	8	the	the	DET
cord-186927-b8i85vo7	368	9	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	368	10	,	,	PUNCT
cord-186927-b8i85vo7	368	11	the	the	DET
cord-186927-b8i85vo7	368	12	natural	natural	ADJ
cord-186927-b8i85vo7	368	13	reduction	reduction	NOUN
cord-186927-b8i85vo7	368	14	of	of	ADP
cord-186927-b8i85vo7	368	15	the	the	DET
cord-186927-b8i85vo7	368	16	interaction	interaction	NOUN
cord-186927-b8i85vo7	368	17	rate	rate	NOUN
cord-186927-b8i85vo7	368	18	among	among	ADP
cord-186927-b8i85vo7	368	19	individuals	individual	NOUN
cord-186927-b8i85vo7	368	20	is	be	AUX
cord-186927-b8i85vo7	368	21	not	not	PART
cord-186927-b8i85vo7	368	22	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	368	23	to	to	PART
cord-186927-b8i85vo7	368	24	contain	contain	VERB
cord-186927-b8i85vo7	368	25	the	the	DET
cord-186927-b8i85vo7	368	26	disease	disease	NOUN
cord-186927-b8i85vo7	368	27	,	,	PUNCT
cord-186927-b8i85vo7	368	28	so	so	SCONJ
cord-186927-b8i85vo7	368	29	that	that	SCONJ
cord-186927-b8i85vo7	368	30	it	it	PRON
cord-186927-b8i85vo7	368	31	spreads	spread	VERB
cord-186927-b8i85vo7	368	32	with	with	ADP
cord-186927-b8i85vo7	368	33	a	a	DET
cord-186927-b8i85vo7	368	34	high	high	ADJ
cord-186927-b8i85vo7	368	35	infection	infection	NOUN
cord-186927-b8i85vo7	368	36	peak	peak	NOUN
cord-186927-b8i85vo7	368	37	,	,	PUNCT
cord-186927-b8i85vo7	368	38	up	up	ADP
cord-186927-b8i85vo7	368	39	to	to	ADP
cord-186927-b8i85vo7	368	40	0.175	0.175	NUM
cord-186927-b8i85vo7	368	41	.	.	PUNCT
cord-186927-b8i85vo7	369	1	as	as	ADP
cord-186927-b8i85vo7	369	2	a	a	DET
cord-186927-b8i85vo7	369	3	result	result	NOUN
cord-186927-b8i85vo7	369	4	,	,	PUNCT
cord-186927-b8i85vo7	369	5	even	even	ADV
cord-186927-b8i85vo7	369	6	if	if	SCONJ
cord-186927-b8i85vo7	369	7	at	at	ADP
cord-186927-b8i85vo7	369	8	the	the	DET
cord-186927-b8i85vo7	369	9	end	end	NOUN
cord-186927-b8i85vo7	369	10	of	of	ADP
cord-186927-b8i85vo7	369	11	the	the	DET
cord-186927-b8i85vo7	369	12	time	time	NOUN
cord-186927-b8i85vo7	369	13	interval	interval	NOUN
cord-186927-b8i85vo7	369	14	under	under	ADP
cord-186927-b8i85vo7	369	15	consideration	consideration	NOUN
cord-186927-b8i85vo7	369	16	,	,	PUNCT
cord-186927-b8i85vo7	369	17	the	the	DET
cord-186927-b8i85vo7	369	18	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	369	19	appears	appear	VERB
cord-186927-b8i85vo7	369	20	to	to	PART
cord-186927-b8i85vo7	369	21	be	be	AUX
cord-186927-b8i85vo7	369	22	over	over	ADV
cord-186927-b8i85vo7	369	23	,	,	PUNCT
cord-186927-b8i85vo7	369	24	between	between	ADP
cord-186927-b8i85vo7	369	25	60	60	NUM
cord-186927-b8i85vo7	369	26	and	and	CCONJ
cord-186927-b8i85vo7	369	27	80	80	NUM
cord-186927-b8i85vo7	369	28	%	%	NOUN
cord-186927-b8i85vo7	369	29	of	of	ADP
cord-186927-b8i85vo7	369	30	the	the	DET
cord-186927-b8i85vo7	369	31	population	population	NOUN
cord-186927-b8i85vo7	369	32	has	have	AUX
cord-186927-b8i85vo7	369	33	been	be	AUX
cord-186927-b8i85vo7	369	34	contaminated	contaminate	VERB
cord-186927-b8i85vo7	369	35	by	by	ADP
cord-186927-b8i85vo7	369	36	the	the	DET
cord-186927-b8i85vo7	369	37	virus	virus	NOUN
cord-186927-b8i85vo7	369	38	,	,	PUNCT
cord-186927-b8i85vo7	369	39	since	since	SCONJ
cord-186927-b8i85vo7	369	40	the	the	DET
cord-186927-b8i85vo7	369	41	proportion	proportion	NOUN
cord-186927-b8i85vo7	369	42	s	s	X
cord-186927-b8i85vo7	369	43	at	at	ADP
cord-186927-b8i85vo7	369	44	time	time	NOUN
cord-186927-b8i85vo7	369	45	t	t	PROPN
cord-186927-b8i85vo7	369	46	=	=	NOUN
cord-186927-b8i85vo7	369	47	200	200	NUM
cord-186927-b8i85vo7	369	48	lies	lie	VERB
cord-186927-b8i85vo7	369	49	between	between	ADP
cord-186927-b8i85vo7	369	50	0.2	0.2	NUM
cord-186927-b8i85vo7	369	51	and	and	CCONJ
cord-186927-b8i85vo7	369	52	0.4	0.4	NUM
cord-186927-b8i85vo7	369	53	.	.	PUNCT
cord-186927-b8i85vo7	370	1	in	in	ADP
cord-186927-b8i85vo7	370	2	conclusion	conclusion	NOUN
cord-186927-b8i85vo7	370	3	,	,	PUNCT
cord-186927-b8i85vo7	370	4	without	without	ADP
cord-186927-b8i85vo7	370	5	some	some	DET
cord-186927-b8i85vo7	370	6	governmental	governmental	ADJ
cord-186927-b8i85vo7	370	7	measures	measure	NOUN
cord-186927-b8i85vo7	370	8	,	,	PUNCT
cord-186927-b8i85vo7	370	9	the	the	DET
cord-186927-b8i85vo7	370	10	fear	fear	NOUN
cord-186927-b8i85vo7	370	11	of	of	ADP
cord-186927-b8i85vo7	370	12	the	the	DET
cord-186927-b8i85vo7	370	13	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	370	14	is	be	AUX
cord-186927-b8i85vo7	370	15	not	not	PART
cord-186927-b8i85vo7	370	16	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	370	17	to	to	PART
cord-186927-b8i85vo7	370	18	encourage	encourage	VERB
cord-186927-b8i85vo7	370	19	the	the	DET
cord-186927-b8i85vo7	370	20	population	population	NOUN
cord-186927-b8i85vo7	370	21	to	to	PART
cord-186927-b8i85vo7	370	22	make	make	VERB
cord-186927-b8i85vo7	370	23	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	370	24	effort	effort	NOUN
cord-186927-b8i85vo7	370	25	,	,	PUNCT
cord-186927-b8i85vo7	370	26	in	in	ADP
cord-186927-b8i85vo7	370	27	order	order	NOUN
cord-186927-b8i85vo7	370	28	to	to	PART
cord-186927-b8i85vo7	370	29	significantly	significantly	ADV
cord-186927-b8i85vo7	370	30	reduce	reduce	VERB
cord-186927-b8i85vo7	370	31	the	the	DET
cord-186927-b8i85vo7	370	32	rate	rate	NOUN
cord-186927-b8i85vo7	370	33	of	of	ADP
cord-186927-b8i85vo7	370	34	transmission	transmission	NOUN
cord-186927-b8i85vo7	370	35	of	of	ADP
cord-186927-b8i85vo7	370	36	the	the	DET
cord-186927-b8i85vo7	370	37	disease	disease	NOUN
cord-186927-b8i85vo7	370	38	.	.	PUNCT
cord-186927-b8i85vo7	371	1	the	the	DET
cord-186927-b8i85vo7	371	2	introduction	introduction	NOUN
cord-186927-b8i85vo7	371	3	by	by	ADP
cord-186927-b8i85vo7	371	4	the	the	DET
cord-186927-b8i85vo7	371	5	government	government	NOUN
cord-186927-b8i85vo7	371	6	of	of	ADP
cord-186927-b8i85vo7	371	7	an	an	DET
cord-186927-b8i85vo7	371	8	effective	effective	ADJ
cord-186927-b8i85vo7	371	9	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	371	10	policy	policy	NOUN
cord-186927-b8i85vo7	371	11	together	together	ADV
cord-186927-b8i85vo7	371	12	with	with	ADP
cord-186927-b8i85vo7	371	13	an	an	DET
cord-186927-b8i85vo7	371	14	active	active	ADJ
cord-186927-b8i85vo7	371	15	testing	testing	NOUN
cord-186927-b8i85vo7	371	16	policy	policy	NOUN
cord-186927-b8i85vo7	371	17	should	should	AUX
cord-186927-b8i85vo7	371	18	improve	improve	VERB
cord-186927-b8i85vo7	371	19	the	the	DET
cord-186927-b8i85vo7	371	20	results	result	NOUN
cord-186927-b8i85vo7	371	21	of	of	ADP
cord-186927-b8i85vo7	371	22	the	the	DET
cord-186927-b8i85vo7	371	23	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	371	24	case	case	NOUN
cord-186927-b8i85vo7	371	25	,	,	PUNCT
cord-186927-b8i85vo7	371	26	in	in	ADP
cord-186927-b8i85vo7	371	27	particular	particular	ADJ
cord-186927-b8i85vo7	371	28	by	by	ADP
cord-186927-b8i85vo7	371	29	reducing	reduce	VERB
cord-186927-b8i85vo7	371	30	the	the	DET
cord-186927-b8i85vo7	371	31	peak	peak	NOUN
cord-186927-b8i85vo7	371	32	of	of	ADP
cord-186927-b8i85vo7	371	33	infection	infection	NOUN
cord-186927-b8i85vo7	371	34	and	and	CCONJ
cord-186927-b8i85vo7	371	35	the	the	DET
cord-186927-b8i85vo7	371	36	total	total	ADJ
cord-186927-b8i85vo7	371	37	number	number	NOUN
cord-186927-b8i85vo7	371	38	of	of	ADP
cord-186927-b8i85vo7	371	39	infected	infected	ADJ
cord-186927-b8i85vo7	371	40	people	people	NOUN
cord-186927-b8i85vo7	371	41	over	over	ADP
cord-186927-b8i85vo7	371	42	the	the	DET
cord-186927-b8i85vo7	371	43	considered	considered	ADJ
cord-186927-b8i85vo7	371	44	period	period	NOUN
cord-186927-b8i85vo7	371	45	.	.	PUNCT
cord-186927-b8i85vo7	372	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	372	2	effort	effort	NOUN
cord-186927-b8i85vo7	372	3	%	%	NOUN
cord-186927-b8i85vo7	372	4	of	of	ADP
cord-186927-b8i85vo7	372	5	infected	infected	ADJ
cord-186927-b8i85vo7	372	6	simulation	simulation	NOUN
cord-186927-b8i85vo7	372	7	1	1	NUM
cord-186927-b8i85vo7	372	8	simulation	simulation	NOUN
cord-186927-b8i85vo7	372	9	2	2	NUM
cord-186927-b8i85vo7	372	10	figure	figure	NOUN
cord-186927-b8i85vo7	372	11	5	5	NUM
cord-186927-b8i85vo7	372	12	:	:	PUNCT
cord-186927-b8i85vo7	372	13	the	the	DET
cord-186927-b8i85vo7	372	14	optimal	optimal	ADJ
cord-186927-b8i85vo7	372	15	transmission	transmission	NOUN
cord-186927-b8i85vo7	372	16	rate	rate	NOUN
cord-186927-b8i85vo7	372	17	β	β	NOUN
cord-186927-b8i85vo7	372	18	and	and	CCONJ
cord-186927-b8i85vo7	372	19	the	the	DET
cord-186927-b8i85vo7	372	20	resulting	result	VERB
cord-186927-b8i85vo7	372	21	proportion	proportion	NOUN
cord-186927-b8i85vo7	372	22	i	i	PRON
cord-186927-b8i85vo7	372	23	with	with	ADP
cord-186927-b8i85vo7	372	24	τ	τ	PROPN
cord-186927-b8i85vo7	372	25	p	p	PROPN
cord-186927-b8i85vo7	372	26	=	=	SYM
cord-186927-b8i85vo7	372	27	0.01	0.01	NUM
cord-186927-b8i85vo7	372	28	comparison	comparison	NOUN
cord-186927-b8i85vo7	372	29	between	between	ADP
cord-186927-b8i85vo7	372	30	of	of	ADP
cord-186927-b8i85vo7	372	31	the	the	DET
cord-186927-b8i85vo7	372	32	two	two	NUM
cord-186927-b8i85vo7	372	33	methods	method	NOUN
cord-186927-b8i85vo7	372	34	on	on	ADP
cord-186927-b8i85vo7	372	35	two	two	NUM
cord-186927-b8i85vo7	372	36	simulations	simulation	NOUN
cord-186927-b8i85vo7	372	37	.	.	PUNCT
cord-186927-b8i85vo7	373	1	the	the	DET
cord-186927-b8i85vo7	373	2	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	373	3	fatigue	fatigue	NOUN
cord-186927-b8i85vo7	373	4	.	.	PUNCT
cord-186927-b8i85vo7	374	1	by	by	ADP
cord-186927-b8i85vo7	374	2	setting	set	VERB
cord-186927-b8i85vo7	374	3	τ	τ	PROPN
cord-186927-b8i85vo7	374	4	p	p	PROPN
cord-186927-b8i85vo7	374	5	=	=	SYM
cord-186927-b8i85vo7	374	6	0.01	0.01	NUM
cord-186927-b8i85vo7	374	7	instead	instead	ADV
cord-186927-b8i85vo7	374	8	of	of	ADP
cord-186927-b8i85vo7	374	9	0	0	NUM
cord-186927-b8i85vo7	374	10	,	,	PUNCT
cord-186927-b8i85vo7	374	11	the	the	DET
cord-186927-b8i85vo7	374	12	cost	cost	NOUN
cord-186927-b8i85vo7	374	13	of	of	ADP
cord-186927-b8i85vo7	374	14	the	the	DET
cord-186927-b8i85vo7	374	15	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	374	16	from	from	ADP
cord-186927-b8i85vo7	374	17	the	the	DET
cord-186927-b8i85vo7	374	18	population	population	NOUN
cord-186927-b8i85vo7	374	19	's	's	PART
cord-186927-b8i85vo7	374	20	point	point	NOUN
cord-186927-b8i85vo7	374	21	of	of	ADP
cord-186927-b8i85vo7	374	22	view	view	NOUN
cord-186927-b8i85vo7	374	23	is	be	AUX
cord-186927-b8i85vo7	374	24	now	now	ADV
cord-186927-b8i85vo7	374	25	increasing	increase	VERB
cord-186927-b8i85vo7	374	26	with	with	ADP
cord-186927-b8i85vo7	374	27	time	time	NOUN
cord-186927-b8i85vo7	374	28	.	.	PUNCT
cord-186927-b8i85vo7	375	1	this	this	PRON
cord-186927-b8i85vo7	375	2	allows	allow	VERB
cord-186927-b8i85vo7	375	3	to	to	PART
cord-186927-b8i85vo7	375	4	take	take	VERB
cord-186927-b8i85vo7	375	5	into	into	ADP
cord-186927-b8i85vo7	375	6	account	account	NOUN
cord-186927-b8i85vo7	375	7	the	the	DET
cord-186927-b8i85vo7	375	8	possible	possible	ADJ
cord-186927-b8i85vo7	375	9	fatigue	fatigue	NOUN
cord-186927-b8i85vo7	375	10	the	the	DET
cord-186927-b8i85vo7	375	11	population	population	NOUN
cord-186927-b8i85vo7	375	12	may	may	AUX
cord-186927-b8i85vo7	375	13	suffer	suffer	VERB
cord-186927-b8i85vo7	375	14	if	if	SCONJ
cord-186927-b8i85vo7	375	15	the	the	DET
cord-186927-b8i85vo7	375	16	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	375	17	continues	continue	VERB
cord-186927-b8i85vo7	375	18	for	for	ADP
cord-186927-b8i85vo7	375	19	too	too	ADV
cord-186927-b8i85vo7	375	20	long	long	ADJ
cord-186927-b8i85vo7	375	21	.	.	PUNCT
cord-186927-b8i85vo7	376	1	as	as	SCONJ
cord-186927-b8i85vo7	376	2	expected	expect	VERB
cord-186927-b8i85vo7	376	3	,	,	PUNCT
cord-186927-b8i85vo7	376	4	by	by	ADP
cord-186927-b8i85vo7	376	5	comparing	compare	VERB
cord-186927-b8i85vo7	376	6	figures	figure	NOUN
cord-186927-b8i85vo7	376	7	3	3	NUM
cord-186927-b8i85vo7	376	8	and	and	CCONJ
cord-186927-b8i85vo7	376	9	6	6	NUM
cord-186927-b8i85vo7	376	10	,	,	PUNCT
cord-186927-b8i85vo7	376	11	the	the	DET
cord-186927-b8i85vo7	376	12	impatience	impatience	NOUN
cord-186927-b8i85vo7	376	13	of	of	ADP
cord-186927-b8i85vo7	376	14	the	the	DET
cord-186927-b8i85vo7	376	15	population	population	NOUN
cord-186927-b8i85vo7	376	16	,	,	PUNCT
cord-186927-b8i85vo7	376	17	gives	give	VERB
cord-186927-b8i85vo7	376	18	higher	high	ADJ
cord-186927-b8i85vo7	376	19	values	value	NOUN
cord-186927-b8i85vo7	376	20	of	of	ADP
cord-186927-b8i85vo7	376	21	optimal	optimal	ADJ
cord-186927-b8i85vo7	376	22	interaction	interaction	NOUN
cord-186927-b8i85vo7	376	23	rate	rate	NOUN
cord-186927-b8i85vo7	376	24	β	β	NOUN
cord-186927-b8i85vo7	376	25	.	.	PUNCT
cord-186927-b8i85vo7	377	1	moreover	moreover	ADV
cord-186927-b8i85vo7	377	2	,	,	PUNCT
cord-186927-b8i85vo7	377	3	comparing	compare	VERB
cord-186927-b8i85vo7	377	4	figures	figure	NOUN
cord-186927-b8i85vo7	377	5	4	4	NUM
cord-186927-b8i85vo7	377	6	and	and	CCONJ
cord-186927-b8i85vo7	377	7	5	5	NUM
cord-186927-b8i85vo7	377	8	,	,	PUNCT
cord-186927-b8i85vo7	377	9	we	we	PRON
cord-186927-b8i85vo7	377	10	can	can	AUX
cord-186927-b8i85vo7	377	11	see	see	VERB
cord-186927-b8i85vo7	377	12	that	that	SCONJ
cord-186927-b8i85vo7	377	13	in	in	ADP
cord-186927-b8i85vo7	377	14	both	both	DET
cord-186927-b8i85vo7	377	15	simulations	simulation	NOUN
cord-186927-b8i85vo7	377	16	,	,	PUNCT
cord-186927-b8i85vo7	377	17	the	the	DET
cord-186927-b8i85vo7	377	18	second	second	ADJ
cord-186927-b8i85vo7	377	19	wave	wave	NOUN
cord-186927-b8i85vo7	377	20	of	of	ADP
cord-186927-b8i85vo7	377	21	effort	effort	NOUN
cord-186927-b8i85vo7	377	22	is	be	AUX
cord-186927-b8i85vo7	377	23	of	of	ADP
cord-186927-b8i85vo7	377	24	course	course	NOUN
cord-186927-b8i85vo7	377	25	more	more	ADV
cord-186927-b8i85vo7	377	26	impacted	impact	VERB
cord-186927-b8i85vo7	377	27	(	(	PUNCT
cord-186927-b8i85vo7	377	28	i.e.	i.e.	X
cord-186927-b8i85vo7	377	29	,	,	PUNCT
cord-186927-b8i85vo7	377	30	the	the	DET
cord-186927-b8i85vo7	377	31	contact	contact	NOUN
cord-186927-b8i85vo7	377	32	rate	rate	NOUN
cord-186927-b8i85vo7	377	33	is	be	AUX
cord-186927-b8i85vo7	377	34	less	less	ADV
cord-186927-b8i85vo7	377	35	reduced	reduce	VERB
cord-186927-b8i85vo7	377	36	)	)	PUNCT
cord-186927-b8i85vo7	377	37	by	by	ADP
cord-186927-b8i85vo7	377	38	the	the	DET
cord-186927-b8i85vo7	377	39	impatience	impatience	NOUN
cord-186927-b8i85vo7	377	40	of	of	ADP
cord-186927-b8i85vo7	377	41	the	the	DET
cord-186927-b8i85vo7	377	42	population	population	NOUN
cord-186927-b8i85vo7	377	43	than	than	ADP
cord-186927-b8i85vo7	377	44	the	the	DET
cord-186927-b8i85vo7	377	45	first	first	ADJ
cord-186927-b8i85vo7	377	46	one	one	NUM
cord-186927-b8i85vo7	377	47	.	.	PUNCT
cord-186927-b8i85vo7	378	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	378	2	control	control	NOUN
cord-186927-b8i85vo7	378	3	β	β	PROPN
cord-186927-b8i85vo7	378	4	proportion	proportion	NOUN
cord-186927-b8i85vo7	378	5	i	i	PRON
cord-186927-b8i85vo7	378	6	of	of	ADP
cord-186927-b8i85vo7	378	7	infected	infected	ADJ
cord-186927-b8i85vo7	378	8	%	%	NOUN
cord-186927-b8i85vo7	378	9	s	s	NOUN
cord-186927-b8i85vo7	378	10	of	of	ADP
cord-186927-b8i85vo7	378	11	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	378	12	we	we	PRON
cord-186927-b8i85vo7	378	13	focus	focus	VERB
cord-186927-b8i85vo7	378	14	in	in	ADP
cord-186927-b8i85vo7	378	15	this	this	DET
cord-186927-b8i85vo7	378	16	section	section	NOUN
cord-186927-b8i85vo7	378	17	on	on	ADP
cord-186927-b8i85vo7	378	18	the	the	DET
cord-186927-b8i85vo7	378	19	tax	tax	NOUN
cord-186927-b8i85vo7	378	20	policy	policy	NOUN
cord-186927-b8i85vo7	378	21	,	,	PUNCT
cord-186927-b8i85vo7	378	22	by	by	ADP
cord-186927-b8i85vo7	378	23	assuming	assume	VERB
cord-186927-b8i85vo7	378	24	that	that	SCONJ
cord-186927-b8i85vo7	378	25	a	a	DET
cord-186927-b8i85vo7	378	26	=	=	NOUN
cord-186927-b8i85vo7	378	27	{	{	PUNCT
cord-186927-b8i85vo7	378	28	1	1	NUM
cord-186927-b8i85vo7	378	29	}	}	PUNCT
cord-186927-b8i85vo7	378	30	.	.	PUNCT
cord-186927-b8i85vo7	379	1	in	in	ADP
cord-186927-b8i85vo7	379	2	words	word	NOUN
cord-186927-b8i85vo7	379	3	,	,	PUNCT
cord-186927-b8i85vo7	379	4	we	we	PRON
cord-186927-b8i85vo7	379	5	assume	assume	VERB
cord-186927-b8i85vo7	379	6	that	that	SCONJ
cord-186927-b8i85vo7	379	7	the	the	DET
cord-186927-b8i85vo7	379	8	government	government	NOUN
cord-186927-b8i85vo7	379	9	does	do	AUX
cord-186927-b8i85vo7	379	10	not	not	PART
cord-186927-b8i85vo7	379	11	implement	implement	VERB
cord-186927-b8i85vo7	379	12	a	a	DET
cord-186927-b8i85vo7	379	13	specific	specific	ADJ
cord-186927-b8i85vo7	379	14	testing	testing	NOUN
cord-186927-b8i85vo7	379	15	policy	policy	NOUN
cord-186927-b8i85vo7	379	16	,	,	PUNCT
cord-186927-b8i85vo7	379	17	which	which	PRON
cord-186927-b8i85vo7	379	18	means	mean	VERB
cord-186927-b8i85vo7	379	19	α	α	PROPN
cord-186927-b8i85vo7	379	20	=	=	NOUN
cord-186927-b8i85vo7	379	21	1	1	NUM
cord-186927-b8i85vo7	379	22	as	as	ADP
cord-186927-b8i85vo7	379	23	in	in	ADP
cord-186927-b8i85vo7	379	24	the	the	DET
cord-186927-b8i85vo7	379	25	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	379	26	case	case	NOUN
cord-186927-b8i85vo7	379	27	,	,	PUNCT
cord-186927-b8i85vo7	379	28	but	but	CCONJ
cord-186927-b8i85vo7	379	29	only	only	ADV
cord-186927-b8i85vo7	379	30	encourages	encourage	VERB
cord-186927-b8i85vo7	379	31	the	the	DET
cord-186927-b8i85vo7	379	32	population	population	NOUN
cord-186927-b8i85vo7	379	33	to	to	PART
cord-186927-b8i85vo7	379	34	lockdown	lockdown	VERB
cord-186927-b8i85vo7	379	35	through	through	ADP
cord-186927-b8i85vo7	379	36	the	the	DET
cord-186927-b8i85vo7	379	37	tax	tax	NOUN
cord-186927-b8i85vo7	379	38	policy	policy	NOUN
cord-186927-b8i85vo7	379	39	χ	χ	PROPN
cord-186927-b8i85vo7	379	40	.	.	PUNCT
cord-186927-b8i85vo7	380	1	in	in	ADP
cord-186927-b8i85vo7	380	2	such	such	DET
cord-186927-b8i85vo7	380	3	a	a	DET
cord-186927-b8i85vo7	380	4	situation	situation	NOUN
cord-186927-b8i85vo7	380	5	,	,	PUNCT
cord-186927-b8i85vo7	380	6	i.e.	i.e.	X
cord-186927-b8i85vo7	380	7	,	,	PUNCT
cord-186927-b8i85vo7	380	8	without	without	ADP
cord-186927-b8i85vo7	380	9	a	a	DET
cord-186927-b8i85vo7	380	10	proper	proper	ADJ
cord-186927-b8i85vo7	380	11	testing	testing	NOUN
cord-186927-b8i85vo7	380	12	policy	policy	NOUN
cord-186927-b8i85vo7	380	13	,	,	PUNCT
cord-186927-b8i85vo7	380	14	the	the	DET
cord-186927-b8i85vo7	380	15	detection	detection	NOUN
cord-186927-b8i85vo7	380	16	and	and	CCONJ
cord-186927-b8i85vo7	380	17	hence	hence	ADV
cord-186927-b8i85vo7	380	18	the	the	DET
cord-186927-b8i85vo7	380	19	isolation	isolation	NOUN
cord-186927-b8i85vo7	380	20	of	of	ADP
cord-186927-b8i85vo7	380	21	ill	ill	ADJ
cord-186927-b8i85vo7	380	22	people	people	NOUN
cord-186927-b8i85vo7	380	23	becomes	become	VERB
cord-186927-b8i85vo7	380	24	very	very	ADV
cord-186927-b8i85vo7	380	25	intricate	intricate	ADJ
cord-186927-b8i85vo7	380	26	.	.	PUNCT
cord-186927-b8i85vo7	381	1	the	the	DET
cord-186927-b8i85vo7	381	2	only	only	ADJ
cord-186927-b8i85vo7	381	3	possibility	possibility	NOUN
cord-186927-b8i85vo7	381	4	to	to	PART
cord-186927-b8i85vo7	381	5	regain	regain	VERB
cord-186927-b8i85vo7	381	6	control	control	NOUN
cord-186927-b8i85vo7	381	7	of	of	ADP
cord-186927-b8i85vo7	381	8	the	the	DET
cord-186927-b8i85vo7	381	9	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	381	10	was	be	AUX
cord-186927-b8i85vo7	381	11	to	to	PART
cord-186927-b8i85vo7	381	12	reduce	reduce	VERB
cord-186927-b8i85vo7	381	13	the	the	DET
cord-186927-b8i85vo7	381	14	interaction	interaction	NOUN
cord-186927-b8i85vo7	381	15	rate	rate	NOUN
cord-186927-b8i85vo7	381	16	of	of	ADP
cord-186927-b8i85vo7	381	17	the	the	DET
cord-186927-b8i85vo7	381	18	population	population	NOUN
cord-186927-b8i85vo7	381	19	.	.	PUNCT
cord-186927-b8i85vo7	382	1	this	this	DET
cord-186927-b8i85vo7	382	2	case	case	NOUN
cord-186927-b8i85vo7	382	3	is	be	AUX
cord-186927-b8i85vo7	382	4	interesting	interesting	ADJ
cord-186927-b8i85vo7	382	5	,	,	PUNCT
cord-186927-b8i85vo7	382	6	as	as	SCONJ
cord-186927-b8i85vo7	382	7	it	it	PRON
cord-186927-b8i85vo7	382	8	corresponds	correspond	VERB
cord-186927-b8i85vo7	382	9	to	to	ADP
cord-186927-b8i85vo7	382	10	the	the	DET
cord-186927-b8i85vo7	382	11	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	382	12	policy	policy	NOUN
cord-186927-b8i85vo7	382	13	that	that	PRON
cord-186927-b8i85vo7	382	14	most	most	ADJ
cord-186927-b8i85vo7	382	15	of	of	ADP
cord-186927-b8i85vo7	382	16	western	western	ADJ
cord-186927-b8i85vo7	382	17	countries	country	NOUN
cord-186927-b8i85vo7	382	18	have	have	AUX
cord-186927-b8i85vo7	382	19	implemented	implement	VERB
cord-186927-b8i85vo7	382	20	in	in	ADP
cord-186927-b8i85vo7	382	21	2020	2020	NUM
cord-186927-b8i85vo7	382	22	,	,	PUNCT
cord-186927-b8i85vo7	382	23	when	when	SCONJ
cord-186927-b8i85vo7	382	24	faced	face	VERB
cord-186927-b8i85vo7	382	25	with	with	ADP
cord-186927-b8i85vo7	382	26	the	the	DET
cord-186927-b8i85vo7	382	27	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	382	28	disease	disease	NOUN
cord-186927-b8i85vo7	382	29	,	,	PUNCT
cord-186927-b8i85vo7	382	30	while	while	SCONJ
cord-186927-b8i85vo7	382	31	a	a	DET
cord-186927-b8i85vo7	382	32	very	very	ADV
cord-186927-b8i85vo7	382	33	small	small	ADJ
cord-186927-b8i85vo7	382	34	number	number	NOUN
cord-186927-b8i85vo7	382	35	of	of	ADP
cord-186927-b8i85vo7	382	36	tests	test	NOUN
cord-186927-b8i85vo7	382	37	was	be	AUX
cord-186927-b8i85vo7	382	38	available	available	ADJ
cord-186927-b8i85vo7	382	39	.	.	PUNCT
cord-186927-b8i85vo7	383	1	indeed	indeed	ADV
cord-186927-b8i85vo7	383	2	,	,	PUNCT
cord-186927-b8i85vo7	383	3	most	most	ADJ
cord-186927-b8i85vo7	383	4	countries	country	NOUN
cord-186927-b8i85vo7	383	5	put	put	VERB
cord-186927-b8i85vo7	383	6	in	in	ADP
cord-186927-b8i85vo7	383	7	place	place	NOUN
cord-186927-b8i85vo7	383	8	systems	system	NOUN
cord-186927-b8i85vo7	383	9	of	of	ADP
cord-186927-b8i85vo7	383	10	fines	fine	NOUN
cord-186927-b8i85vo7	383	11	,	,	PUNCT
cord-186927-b8i85vo7	383	12	or	or	CCONJ
cord-186927-b8i85vo7	383	13	even	even	ADV
cord-186927-b8i85vo7	383	14	prison	prison	NOUN
cord-186927-b8i85vo7	383	15	sentences	sentence	NOUN
cord-186927-b8i85vo7	383	16	,	,	PUNCT
cord-186927-b8i85vo7	383	17	to	to	PART
cord-186927-b8i85vo7	383	18	incentivise	incentivise	VERB
cord-186927-b8i85vo7	383	19	people	people	NOUN
cord-186927-b8i85vo7	383	20	to	to	PART
cord-186927-b8i85vo7	383	21	lockdown	lockdown	VERB
cord-186927-b8i85vo7	383	22	.	.	PUNCT
cord-186927-b8i85vo7	384	1	although	although	SCONJ
cord-186927-b8i85vo7	384	2	the	the	DET
cord-186927-b8i85vo7	384	3	penalties	penalty	NOUN
cord-186927-b8i85vo7	384	4	for	for	ADP
cord-186927-b8i85vo7	384	5	non	non	NOUN
cord-186927-b8i85vo7	384	6	-	-	NOUN
cord-186927-b8i85vo7	384	7	compliance	compliance	NOUN
cord-186927-b8i85vo7	384	8	are	be	AUX
cord-186927-b8i85vo7	384	9	not	not	PART
cord-186927-b8i85vo7	384	10	as	as	ADV
cord-186927-b8i85vo7	384	11	sophisticated	sophisticated	ADJ
cord-186927-b8i85vo7	384	12	as	as	ADP
cord-186927-b8i85vo7	384	13	in	in	ADP
cord-186927-b8i85vo7	384	14	our	our	PRON
cord-186927-b8i85vo7	384	15	model	model	NOUN
cord-186927-b8i85vo7	384	16	,	,	PUNCT
cord-186927-b8i85vo7	384	17	most	most	ADJ
cord-186927-b8i85vo7	384	18	governments	government	NOUN
cord-186927-b8i85vo7	384	19	did	do	AUX
cord-186927-b8i85vo7	384	20	adapt	adapt	VERB
cord-186927-b8i85vo7	384	21	the	the	DET
cord-186927-b8i85vo7	384	22	level	level	NOUN
cord-186927-b8i85vo7	384	23	of	of	ADP
cord-186927-b8i85vo7	384	24	penalties	penalty	NOUN
cord-186927-b8i85vo7	384	25	according	accord	VERB
cord-186927-b8i85vo7	384	26	to	to	ADP
cord-186927-b8i85vo7	384	27	the	the	DET
cord-186927-b8i85vo7	384	28	stage	stage	NOUN
cord-186927-b8i85vo7	384	29	of	of	ADP
cord-186927-b8i85vo7	384	30	the	the	DET
cord-186927-b8i85vo7	384	31	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	384	32	:	:	PUNCT
cord-186927-b8i85vo7	384	33	higher	high	ADJ
cord-186927-b8i85vo7	384	34	fines	fine	NOUN
cord-186927-b8i85vo7	384	35	during	during	ADP
cord-186927-b8i85vo7	384	36	periods	period	NOUN
cord-186927-b8i85vo7	384	37	of	of	ADP
cord-186927-b8i85vo7	384	38	strict	strict	ADJ
cord-186927-b8i85vo7	384	39	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	384	40	(	(	PUNCT
cord-186927-b8i85vo7	384	41	hence	hence	ADV
cord-186927-b8i85vo7	384	42	at	at	ADP
cord-186927-b8i85vo7	384	43	the	the	DET
cord-186927-b8i85vo7	384	44	peak	peak	NOUN
cord-186927-b8i85vo7	384	45	of	of	ADP
cord-186927-b8i85vo7	384	46	the	the	DET
cord-186927-b8i85vo7	384	47	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	384	48	)	)	PUNCT
cord-186927-b8i85vo7	384	49	,	,	PUNCT
cord-186927-b8i85vo7	384	50	or	or	CCONJ
cord-186927-b8i85vo7	384	51	in	in	ADP
cord-186927-b8i85vo7	384	52	case	case	NOUN
cord-186927-b8i85vo7	384	53	of	of	ADP
cord-186927-b8i85vo7	384	54	recidivism	recidivism	NOUN
cord-186927-b8i85vo7	384	55	,	,	PUNCT
cord-186927-b8i85vo7	384	56	for	for	ADP
cord-186927-b8i85vo7	384	57	example	example	NOUN
cord-186927-b8i85vo7	384	58	.	.	PUNCT
cord-186927-b8i85vo7	385	1	this	this	PRON
cord-186927-b8i85vo7	385	2	reflects	reflect	VERB
cord-186927-b8i85vo7	385	3	the	the	DET
cord-186927-b8i85vo7	385	4	adjustment	adjustment	NOUN
cord-186927-b8i85vo7	385	5	of	of	ADP
cord-186927-b8i85vo7	385	6	sanctions	sanction	NOUN
cord-186927-b8i85vo7	385	7	in	in	ADP
cord-186927-b8i85vo7	385	8	many	many	ADJ
cord-186927-b8i85vo7	385	9	countries	country	NOUN
cord-186927-b8i85vo7	385	10	according	accord	VERB
cord-186927-b8i85vo7	385	11	to	to	ADP
cord-186927-b8i85vo7	385	12	the	the	DET
cord-186927-b8i85vo7	385	13	health	health	NOUN
cord-186927-b8i85vo7	385	14	situation	situation	NOUN
cord-186927-b8i85vo7	385	15	,	,	PUNCT
cord-186927-b8i85vo7	385	16	and	and	CCONJ
cord-186927-b8i85vo7	385	17	therefore	therefore	ADV
cord-186927-b8i85vo7	385	18	a	a	DET
cord-186927-b8i85vo7	385	19	notion	notion	NOUN
cord-186927-b8i85vo7	385	20	of	of	ADP
cord-186927-b8i85vo7	385	21	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	385	22	adaptation	adaptation	NOUN
cord-186927-b8i85vo7	385	23	to	to	ADP
cord-186927-b8i85vo7	385	24	circumstances	circumstance	NOUN
cord-186927-b8i85vo7	385	25	,	,	PUNCT
cord-186927-b8i85vo7	385	26	which	which	PRON
cord-186927-b8i85vo7	385	27	is	be	AUX
cord-186927-b8i85vo7	385	28	exactly	exactly	ADV
cord-186927-b8i85vo7	385	29	what	what	PRON
cord-186927-b8i85vo7	385	30	is	be	AUX
cord-186927-b8i85vo7	385	31	suggested	suggest	VERB
cord-186927-b8i85vo7	385	32	by	by	ADP
cord-186927-b8i85vo7	385	33	our	our	PRON
cord-186927-b8i85vo7	385	34	tax	tax	NOUN
cord-186927-b8i85vo7	385	35	system	system	NOUN
cord-186927-b8i85vo7	385	36	.	.	PUNCT
cord-186927-b8i85vo7	386	1	though	though	SCONJ
cord-186927-b8i85vo7	386	2	it	it	PRON
cord-186927-b8i85vo7	386	3	is	be	AUX
cord-186927-b8i85vo7	386	4	clear	clear	ADJ
cord-186927-b8i85vo7	386	5	that	that	SCONJ
cord-186927-b8i85vo7	386	6	our	our	PRON
cord-186927-b8i85vo7	386	7	model	model	NOUN
cord-186927-b8i85vo7	386	8	is	be	AUX
cord-186927-b8i85vo7	386	9	different	different	ADJ
cord-186927-b8i85vo7	386	10	from	from	ADP
cord-186927-b8i85vo7	386	11	reality	reality	NOUN
cord-186927-b8i85vo7	386	12	,	,	PUNCT
cord-186927-b8i85vo7	386	13	since	since	SCONJ
cord-186927-b8i85vo7	386	14	we	we	PRON
cord-186927-b8i85vo7	386	15	consider	consider	VERB
cord-186927-b8i85vo7	386	16	a	a	DET
cord-186927-b8i85vo7	386	17	fine	fine	ADJ
cord-186927-b8i85vo7	386	18	/	/	SYM
cord-186927-b8i85vo7	386	19	compensation	compensation	NOUN
cord-186927-b8i85vo7	386	20	,	,	PUNCT
cord-186927-b8i85vo7	386	21	paid	pay	VERB
cord-186927-b8i85vo7	386	22	at	at	ADP
cord-186927-b8i85vo7	386	23	some	some	DET
cord-186927-b8i85vo7	386	24	terminal	terminal	ADJ
cord-186927-b8i85vo7	386	25	time	time	NOUN
cord-186927-b8i85vo7	386	26	t	t	NOUN
cord-186927-b8i85vo7	386	27	,	,	PUNCT
cord-186927-b8i85vo7	386	28	and	and	CCONJ
cord-186927-b8i85vo7	386	29	equal	equal	ADJ
cord-186927-b8i85vo7	386	30	for	for	ADP
cord-186927-b8i85vo7	386	31	each	each	DET
cord-186927-b8i85vo7	386	32	individual	individual	NOUN
cord-186927-b8i85vo7	386	33	,	,	PUNCT
cord-186927-b8i85vo7	386	34	whereas	whereas	SCONJ
cord-186927-b8i85vo7	386	35	in	in	ADP
cord-186927-b8i85vo7	386	36	most	most	ADJ
cord-186927-b8i85vo7	386	37	countries	country	NOUN
cord-186927-b8i85vo7	386	38	,	,	PUNCT
cord-186927-b8i85vo7	386	39	the	the	DET
cord-186927-b8i85vo7	386	40	fine	fine	NOUN
cord-186927-b8i85vo7	386	41	is	be	AUX
cord-186927-b8i85vo7	386	42	paid	pay	VERB
cord-186927-b8i85vo7	386	43	by	by	ADP
cord-186927-b8i85vo7	386	44	a	a	DET
cord-186927-b8i85vo7	386	45	particular	particular	ADJ
cord-186927-b8i85vo7	386	46	individual	individual	NOUN
cord-186927-b8i85vo7	386	47	who	who	PRON
cord-186927-b8i85vo7	386	48	has	have	AUX
cord-186927-b8i85vo7	386	49	not	not	PART
cord-186927-b8i85vo7	386	50	complied	comply	VERB
cord-186927-b8i85vo7	386	51	with	with	ADP
cord-186927-b8i85vo7	386	52	the	the	DET
cord-186927-b8i85vo7	386	53	injunctions	injunction	NOUN
cord-186927-b8i85vo7	386	54	,	,	PUNCT
cord-186927-b8i85vo7	386	55	we	we	PRON
cord-186927-b8i85vo7	386	56	still	still	ADV
cord-186927-b8i85vo7	386	57	believe	believe	VERB
cord-186927-b8i85vo7	386	58	it	it	PRON
cord-186927-b8i85vo7	386	59	allows	allow	VERB
cord-186927-b8i85vo7	386	60	to	to	PART
cord-186927-b8i85vo7	386	61	highlight	highlight	VERB
cord-186927-b8i85vo7	386	62	sensible	sensible	ADJ
cord-186927-b8i85vo7	386	63	guidelines	guideline	NOUN
cord-186927-b8i85vo7	386	64	.	.	PUNCT
cord-186927-b8i85vo7	387	1	the	the	DET
cord-186927-b8i85vo7	387	2	numerical	numerical	ADJ
cord-186927-b8i85vo7	387	3	approach	approach	NOUN
cord-186927-b8i85vo7	387	4	is	be	AUX
cord-186927-b8i85vo7	387	5	highly	highly	ADV
cord-186927-b8i85vo7	387	6	similar	similar	ADJ
cord-186927-b8i85vo7	387	7	to	to	ADP
cord-186927-b8i85vo7	387	8	the	the	DET
cord-186927-b8i85vo7	387	9	method	method	NOUN
cord-186927-b8i85vo7	387	10	used	use	VERB
cord-186927-b8i85vo7	387	11	to	to	PART
cord-186927-b8i85vo7	387	12	solve	solve	VERB
cord-186927-b8i85vo7	387	13	the	the	DET
cord-186927-b8i85vo7	387	14	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	387	15	case	case	NOUN
cord-186927-b8i85vo7	387	16	.	.	PUNCT
cord-186927-b8i85vo7	388	1	one	one	NUM
cord-186927-b8i85vo7	388	2	difference	difference	NOUN
cord-186927-b8i85vo7	388	3	is	be	AUX
cord-186927-b8i85vo7	388	4	that	that	SCONJ
cord-186927-b8i85vo7	388	5	we	we	PRON
cord-186927-b8i85vo7	388	6	have	have	VERB
cord-186927-b8i85vo7	388	7	to	to	PART
cord-186927-b8i85vo7	388	8	estimate	estimate	VERB
cord-186927-b8i85vo7	388	9	the	the	DET
cord-186927-b8i85vo7	388	10	reservation	reservation	NOUN
cord-186927-b8i85vo7	388	11	utility	utility	NOUN
cord-186927-b8i85vo7	388	12	of	of	ADP
cord-186927-b8i85vo7	388	13	the	the	DET
cord-186927-b8i85vo7	388	14	population	population	NOUN
cord-186927-b8i85vo7	388	15	,	,	PUNCT
cord-186927-b8i85vo7	388	16	namely	namely	ADV
cord-186927-b8i85vo7	388	17	v	v	ADJ
cord-186927-b8i85vo7	388	18	,	,	PUNCT
cord-186927-b8i85vo7	388	19	given	give	VERB
cord-186927-b8i85vo7	388	20	by	by	ADP
cord-186927-b8i85vo7	388	21	(	(	PUNCT
cord-186927-b8i85vo7	388	22	3.2	3.2	NUM
cord-186927-b8i85vo7	388	23	)	)	PUNCT
cord-186927-b8i85vo7	388	24	.	.	PUNCT
cord-186927-b8i85vo7	389	1	using	use	VERB
cord-186927-b8i85vo7	389	2	a	a	DET
cord-186927-b8i85vo7	389	3	monte	monte	PROPN
cord-186927-b8i85vo7	389	4	-	-	PUNCT
cord-186927-b8i85vo7	389	5	carlo	carlo	PROPN
cord-186927-b8i85vo7	389	6	method	method	PROPN
cord-186927-b8i85vo7	389	7	and	and	CCONJ
cord-186927-b8i85vo7	389	8	an	an	DET
cord-186927-b8i85vo7	389	9	euler	euler	NOUN
cord-186927-b8i85vo7	389	10	scheme	scheme	NOUN
cord-186927-b8i85vo7	389	11	with	with	ADP
cord-186927-b8i85vo7	389	12	a	a	DET
cord-186927-b8i85vo7	389	13	time	time	NOUN
cord-186927-b8i85vo7	389	14	-	-	PUNCT
cord-186927-b8i85vo7	389	15	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	389	16	of	of	ADP
cord-186927-b8i85vo7	389	17	200	200	NUM
cord-186927-b8i85vo7	389	18	time	time	NOUN
cord-186927-b8i85vo7	389	19	-	-	PUNCT
cord-186927-b8i85vo7	389	20	steps	step	NOUN
cord-186927-b8i85vo7	389	21	and	and	CCONJ
cord-186927-b8i85vo7	389	22	10	10	NUM
cord-186927-b8i85vo7	389	23	6	6	NUM
cord-186927-b8i85vo7	389	24	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	389	25	,	,	PUNCT
cord-186927-b8i85vo7	389	26	we	we	PRON
cord-186927-b8i85vo7	389	27	obtain	obtain	VERB
cord-186927-b8i85vo7	389	28	an	an	DET
cord-186927-b8i85vo7	389	29	approximated	approximated	ADJ
cord-186927-b8i85vo7	389	30	value	value	NOUN
cord-186927-b8i85vo7	389	31	v	v	NOUN
cord-186927-b8i85vo7	389	32	=	=	NOUN
cord-186927-b8i85vo7	389	33	−0.02937	−0.02937	PUNCT
cord-186927-b8i85vo7	389	34	.	.	PUNCT
cord-186927-b8i85vo7	390	1	then	then	ADV
cord-186927-b8i85vo7	390	2	,	,	PUNCT
cord-186927-b8i85vo7	390	3	we	we	PRON
cord-186927-b8i85vo7	390	4	can	can	AUX
cord-186927-b8i85vo7	390	5	solve	solve	VERB
cord-186927-b8i85vo7	390	6	(	(	PUNCT
cord-186927-b8i85vo7	390	7	2.22	2.22	NUM
cord-186927-b8i85vo7	390	8	)	)	PUNCT
cord-186927-b8i85vo7	390	9	through	through	ADP
cord-186927-b8i85vo7	390	10	the	the	DET
cord-186927-b8i85vo7	390	11	aforementioned	aforementioned	ADJ
cord-186927-b8i85vo7	390	12	semi	semi	ADJ
cord-186927-b8i85vo7	390	13	-	-	ADJ
cord-186927-b8i85vo7	390	14	lagrangian	lagrangian	ADJ
cord-186927-b8i85vo7	390	15	scheme	scheme	NOUN
cord-186927-b8i85vo7	390	16	,	,	PUNCT
cord-186927-b8i85vo7	390	17	with	with	ADP
cord-186927-b8i85vo7	390	18	200	200	NUM
cord-186927-b8i85vo7	390	19	time	time	NOUN
cord-186927-b8i85vo7	390	20	steps	step	NOUN
cord-186927-b8i85vo7	390	21	,	,	PUNCT
cord-186927-b8i85vo7	390	22	as	as	ADV
cord-186927-b8i85vo7	390	23	well	well	ADV
cord-186927-b8i85vo7	390	24	as	as	ADP
cord-186927-b8i85vo7	390	25	a	a	DET
cord-186927-b8i85vo7	390	26	step	step	NOUN
cord-186927-b8i85vo7	390	27	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	390	28	for	for	ADP
cord-186927-b8i85vo7	390	29	the	the	DET
cord-186927-b8i85vo7	390	30	grid	grid	NOUN
cord-186927-b8i85vo7	390	31	in	in	ADP
cord-186927-b8i85vo7	390	32	(	(	PUNCT
cord-186927-b8i85vo7	390	33	s	s	PROPN
cord-186927-b8i85vo7	390	34	,	,	PUNCT
cord-186927-b8i85vo7	390	35	i	i	PROPN
cord-186927-b8i85vo7	390	36	,	,	PUNCT
cord-186927-b8i85vo7	390	37	y	y	PROPN
cord-186927-b8i85vo7	390	38	)	)	PUNCT
cord-186927-b8i85vo7	390	39	corresponding	correspond	VERB
cord-186927-b8i85vo7	390	40	to	to	ADP
cord-186927-b8i85vo7	390	41	(	(	PUNCT
cord-186927-b8i85vo7	390	42	0.0025	0.0025	NUM
cord-186927-b8i85vo7	390	43	,	,	PUNCT
cord-186927-b8i85vo7	390	44	0.0025	0.0025	NUM
cord-186927-b8i85vo7	390	45	,	,	PUNCT
cord-186927-b8i85vo7	390	46	0.005	0.005	NUM
cord-186927-b8i85vo7	390	47	)	)	PUNCT
cord-186927-b8i85vo7	390	48	,	,	PUNCT
cord-186927-b8i85vo7	390	49	leading	lead	VERB
cord-186927-b8i85vo7	390	50	to	to	ADP
cord-186927-b8i85vo7	390	51	a	a	DET
cord-186927-b8i85vo7	390	52	number	number	NOUN
cord-186927-b8i85vo7	390	53	of	of	ADP
cord-186927-b8i85vo7	390	54	meshes	mesh	NOUN
cord-186927-b8i85vo7	390	55	at	at	ADP
cord-186927-b8i85vo7	390	56	maturity	maturity	NOUN
cord-186927-b8i85vo7	390	57	equal	equal	ADJ
cord-186927-b8i85vo7	390	58	to	to	ADP
cord-186927-b8i85vo7	390	59	250	250	NUM
cord-186927-b8i85vo7	390	60	×	×	NOUN
cord-186927-b8i85vo7	390	61	70	70	NUM
cord-186927-b8i85vo7	390	62	×	×	NOUN
cord-186927-b8i85vo7	390	63	800	800	NUM
cord-186927-b8i85vo7	390	64	(	(	PUNCT
cord-186927-b8i85vo7	390	65	for	for	ADP
cord-186927-b8i85vo7	390	66	z	z	PROPN
cord-186927-b8i85vo7	390	67	max	max	PROPN
cord-186927-b8i85vo7	390	68	=	=	SYM
cord-186927-b8i85vo7	390	69	30	30	NUM
cord-186927-b8i85vo7	390	70	)	)	PUNCT
cord-186927-b8i85vo7	390	71	.	.	PUNCT
cord-186927-b8i85vo7	391	1	a	a	DET
cord-186927-b8i85vo7	391	2	last	last	ADJ
cord-186927-b8i85vo7	391	3	technical	technical	ADJ
cord-186927-b8i85vo7	391	4	point	point	NOUN
cord-186927-b8i85vo7	391	5	concerning	concern	VERB
cord-186927-b8i85vo7	391	6	the	the	DET
cord-186927-b8i85vo7	391	7	domain	domain	NOUN
cord-186927-b8i85vo7	391	8	of	of	ADP
cord-186927-b8i85vo7	391	9	the	the	DET
cord-186927-b8i85vo7	391	10	control	control	NOUN
cord-186927-b8i85vo7	391	11	z.	z.	PUNCT
cord-186927-b8i85vo7	392	1	although	although	SCONJ
cord-186927-b8i85vo7	392	2	this	this	DET
cord-186927-b8i85vo7	392	3	control	control	NOUN
cord-186927-b8i85vo7	392	4	of	of	ADP
cord-186927-b8i85vo7	392	5	the	the	DET
cord-186927-b8i85vo7	392	6	government	government	NOUN
cord-186927-b8i85vo7	392	7	,	,	PUNCT
cord-186927-b8i85vo7	392	8	used	use	VERB
cord-186927-b8i85vo7	392	9	to	to	PART
cord-186927-b8i85vo7	392	10	index	index	VERB
cord-186927-b8i85vo7	392	11	the	the	DET
cord-186927-b8i85vo7	392	12	tax	tax	NOUN
cord-186927-b8i85vo7	392	13	on	on	ADP
cord-186927-b8i85vo7	392	14	the	the	DET
cord-186927-b8i85vo7	392	15	proportion	proportion	NOUN
cord-186927-b8i85vo7	392	16	of	of	ADP
cord-186927-b8i85vo7	392	17	infected	infect	VERB
cord-186927-b8i85vo7	392	18	,	,	PUNCT
cord-186927-b8i85vo7	392	19	can	can	AUX
cord-186927-b8i85vo7	392	20	take	take	VERB
cord-186927-b8i85vo7	392	21	high	high	ADJ
cord-186927-b8i85vo7	392	22	values	value	NOUN
cord-186927-b8i85vo7	392	23	,	,	PUNCT
cord-186927-b8i85vo7	392	24	we	we	PRON
cord-186927-b8i85vo7	392	25	have	have	VERB
cord-186927-b8i85vo7	392	26	to	to	PART
cord-186927-b8i85vo7	392	27	bound	bind	VERB
cord-186927-b8i85vo7	392	28	its	its	PRON
cord-186927-b8i85vo7	392	29	domain	domain	NOUN
cord-186927-b8i85vo7	392	30	in	in	ADP
cord-186927-b8i85vo7	392	31	order	order	NOUN
cord-186927-b8i85vo7	392	32	to	to	PART
cord-186927-b8i85vo7	392	33	perform	perform	VERB
cord-186927-b8i85vo7	392	34	the	the	DET
cord-186927-b8i85vo7	392	35	numerical	numerical	ADJ
cord-186927-b8i85vo7	392	36	simulations	simulation	NOUN
cord-186927-b8i85vo7	392	37	.	.	PUNCT
cord-186927-b8i85vo7	393	1	we	we	PRON
cord-186927-b8i85vo7	393	2	choose	choose	VERB
cord-186927-b8i85vo7	393	3	to	to	PART
cord-186927-b8i85vo7	393	4	restrict	restrict	VERB
cord-186927-b8i85vo7	393	5	its	its	PRON
cord-186927-b8i85vo7	393	6	domain	domain	NOUN
cord-186927-b8i85vo7	393	7	to	to	ADP
cord-186927-b8i85vo7	393	8	an	an	DET
cord-186927-b8i85vo7	393	9	interval	interval	NOUN
cord-186927-b8i85vo7	393	10	[	[	X
cord-186927-b8i85vo7	393	11	−z	−z	PROPN
cord-186927-b8i85vo7	393	12	max	max	PROPN
cord-186927-b8i85vo7	393	13	,	,	PUNCT
cord-186927-b8i85vo7	393	14	z	z	PROPN
cord-186927-b8i85vo7	393	15	max	max	PROPN
cord-186927-b8i85vo7	393	16	]	]	PUNCT
cord-186927-b8i85vo7	393	17	,	,	PUNCT
cord-186927-b8i85vo7	393	18	and	and	CCONJ
cord-186927-b8i85vo7	393	19	consider	consider	VERB
cord-186927-b8i85vo7	393	20	a	a	DET
cord-186927-b8i85vo7	393	21	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	393	22	step	step	NOUN
cord-186927-b8i85vo7	393	23	equal	equal	ADJ
cord-186927-b8i85vo7	393	24	to	to	ADP
cord-186927-b8i85vo7	393	25	0.5	0.5	NUM
cord-186927-b8i85vo7	393	26	.	.	PUNCT
cord-186927-b8i85vo7	394	1	one	one	PRON
cord-186927-b8i85vo7	394	2	would	would	AUX
cord-186927-b8i85vo7	394	3	naturally	naturally	ADV
cord-186927-b8i85vo7	394	4	expect	expect	VERB
cord-186927-b8i85vo7	394	5	that	that	SCONJ
cord-186927-b8i85vo7	394	6	a	a	DET
cord-186927-b8i85vo7	394	7	larger	large	ADJ
cord-186927-b8i85vo7	394	8	choice	choice	NOUN
cord-186927-b8i85vo7	394	9	would	would	AUX
cord-186927-b8i85vo7	394	10	lead	lead	VERB
cord-186927-b8i85vo7	394	11	to	to	ADP
cord-186927-b8i85vo7	394	12	somewhat	somewhat	ADV
cord-186927-b8i85vo7	394	13	better	well	ADJ
cord-186927-b8i85vo7	394	14	solutions	solution	NOUN
cord-186927-b8i85vo7	394	15	.	.	PUNCT
cord-186927-b8i85vo7	395	1	however	however	ADV
cord-186927-b8i85vo7	395	2	,	,	PUNCT
cord-186927-b8i85vo7	395	3	this	this	PRON
cord-186927-b8i85vo7	395	4	neglects	neglect	VERB
cord-186927-b8i85vo7	395	5	a	a	DET
cord-186927-b8i85vo7	395	6	fundamental	fundamental	ADJ
cord-186927-b8i85vo7	395	7	numerical	numerical	ADJ
cord-186927-b8i85vo7	395	8	issue	issue	NOUN
cord-186927-b8i85vo7	395	9	:	:	PUNCT
cord-186927-b8i85vo7	395	10	large	large	ADJ
cord-186927-b8i85vo7	395	11	values	value	NOUN
cord-186927-b8i85vo7	395	12	of	of	ADP
cord-186927-b8i85vo7	395	13	z	z	NOUN
cord-186927-b8i85vo7	395	14	increase	increase	VERB
cord-186927-b8i85vo7	395	15	the	the	DET
cord-186927-b8i85vo7	395	16	numerical	numerical	ADJ
cord-186927-b8i85vo7	395	17	cost	cost	NOUN
cord-186927-b8i85vo7	395	18	,	,	PUNCT
cord-186927-b8i85vo7	395	19	as	as	SCONJ
cord-186927-b8i85vo7	395	20	they	they	PRON
cord-186927-b8i85vo7	395	21	enlarge	enlarge	VERB
cord-186927-b8i85vo7	395	22	the	the	DET
cord-186927-b8i85vo7	395	23	volatility	volatility	NOUN
cord-186927-b8i85vo7	395	24	of	of	ADP
cord-186927-b8i85vo7	395	25	the	the	DET
cord-186927-b8i85vo7	395	26	process	process	NOUN
cord-186927-b8i85vo7	395	27	y	y	PROPN
cord-186927-b8i85vo7	395	28	(	(	PUNCT
cord-186927-b8i85vo7	395	29	given	give	VERB
cord-186927-b8i85vo7	395	30	by	by	ADP
cord-186927-b8i85vo7	395	31	σzis	σzi	NOUN
cord-186927-b8i85vo7	395	32	)	)	PUNCT
cord-186927-b8i85vo7	395	33	.	.	PUNCT
cord-186927-b8i85vo7	396	1	as	as	ADP
cord-186927-b8i85vo7	396	2	such	such	ADJ
cord-186927-b8i85vo7	396	3	,	,	PUNCT
cord-186927-b8i85vo7	396	4	since	since	SCONJ
cord-186927-b8i85vo7	396	5	the	the	DET
cord-186927-b8i85vo7	396	6	volatility	volatility	NOUN
cord-186927-b8i85vo7	396	7	cone	cone	NOUN
cord-186927-b8i85vo7	396	8	becomes	become	VERB
cord-186927-b8i85vo7	396	9	larger	large	ADJ
cord-186927-b8i85vo7	396	10	,	,	PUNCT
cord-186927-b8i85vo7	396	11	it	it	PRON
cord-186927-b8i85vo7	396	12	is	be	AUX
cord-186927-b8i85vo7	396	13	necessary	necessary	ADJ
cord-186927-b8i85vo7	396	14	to	to	PART
cord-186927-b8i85vo7	396	15	sample	sample	VERB
cord-186927-b8i85vo7	396	16	a	a	DET
cord-186927-b8i85vo7	396	17	much	much	ADV
cord-186927-b8i85vo7	396	18	larger	large	ADJ
cord-186927-b8i85vo7	396	19	grid	grid	NOUN
cord-186927-b8i85vo7	396	20	in	in	ADP
cord-186927-b8i85vo7	396	21	order	order	NOUN
cord-186927-b8i85vo7	396	22	to	to	PART
cord-186927-b8i85vo7	396	23	be	be	AUX
cord-186927-b8i85vo7	396	24	able	able	ADJ
cord-186927-b8i85vo7	396	25	to	to	PART
cord-186927-b8i85vo7	396	26	cover	cover	VERB
cord-186927-b8i85vo7	396	27	the	the	DET
cord-186927-b8i85vo7	396	28	region	region	NOUN
cord-186927-b8i85vo7	396	29	were	be	AUX
cord-186927-b8i85vo7	396	30	y	y	PROPN
cord-186927-b8i85vo7	396	31	will	will	AUX
cord-186927-b8i85vo7	396	32	most	most	ADV
cord-186927-b8i85vo7	396	33	likely	likely	ADV
cord-186927-b8i85vo7	396	34	take	take	VERB
cord-186927-b8i85vo7	396	35	its	its	PRON
cord-186927-b8i85vo7	396	36	values	value	NOUN
cord-186927-b8i85vo7	396	37	.	.	PUNCT
cord-186927-b8i85vo7	397	1	too	too	ADV
cord-186927-b8i85vo7	397	2	large	large	ADJ
cord-186927-b8i85vo7	397	3	values	value	NOUN
cord-186927-b8i85vo7	397	4	of	of	ADP
cord-186927-b8i85vo7	397	5	z	z	PROPN
cord-186927-b8i85vo7	397	6	max	max	PROPN
cord-186927-b8i85vo7	397	7	therefore	therefore	ADV
cord-186927-b8i85vo7	397	8	become	become	VERB
cord-186927-b8i85vo7	397	9	numerically	numerically	ADV
cord-186927-b8i85vo7	397	10	intractable	intractable	ADJ
cord-186927-b8i85vo7	397	11	,	,	PUNCT
cord-186927-b8i85vo7	397	12	unless	unless	SCONJ
cord-186927-b8i85vo7	397	13	one	one	NUM
cord-186927-b8i85vo7	397	14	is	be	AUX
cord-186927-b8i85vo7	397	15	willing	willing	ADJ
cord-186927-b8i85vo7	397	16	to	to	PART
cord-186927-b8i85vo7	397	17	sacrifice	sacrifice	VERB
cord-186927-b8i85vo7	397	18	accuracy	accuracy	NOUN
cord-186927-b8i85vo7	397	19	.	.	PUNCT
cord-186927-b8i85vo7	398	1	a	a	DET
cord-186927-b8i85vo7	398	2	balance	balance	NOUN
cord-186927-b8i85vo7	398	3	need	need	VERB
cord-186927-b8i85vo7	398	4	to	to	PART
cord-186927-b8i85vo7	398	5	be	be	AUX
cord-186927-b8i85vo7	398	6	struck	strike	VERB
cord-186927-b8i85vo7	398	7	,	,	PUNCT
cord-186927-b8i85vo7	398	8	which	which	PRON
cord-186927-b8i85vo7	398	9	is	be	AUX
cord-186927-b8i85vo7	398	10	why	why	SCONJ
cord-186927-b8i85vo7	398	11	we	we	PRON
cord-186927-b8i85vo7	398	12	capped	cap	VERB
cord-186927-b8i85vo7	398	13	z	z	NOUN
cord-186927-b8i85vo7	398	14	maz	maz	NOUN
cord-186927-b8i85vo7	398	15	at	at	ADP
cord-186927-b8i85vo7	398	16	30	30	NUM
cord-186927-b8i85vo7	398	17	.	.	PUNCT
cord-186927-b8i85vo7	399	1	a	a	DET
cord-186927-b8i85vo7	399	2	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	399	3	analysis	analysis	NOUN
cord-186927-b8i85vo7	399	4	with	with	ADP
cord-186927-b8i85vo7	399	5	respect	respect	NOUN
cord-186927-b8i85vo7	399	6	to	to	ADP
cord-186927-b8i85vo7	399	7	variations	variation	NOUN
cord-186927-b8i85vo7	399	8	of	of	ADP
cord-186927-b8i85vo7	399	9	z	z	PROPN
cord-186927-b8i85vo7	399	10	max	max	PROPN
cord-186927-b8i85vo7	399	11	is	be	AUX
cord-186927-b8i85vo7	399	12	provided	provide	VERB
cord-186927-b8i85vo7	399	13	in	in	ADP
cord-186927-b8i85vo7	399	14	figure	figure	NOUN
cord-186927-b8i85vo7	399	15	8	8	NUM
cord-186927-b8i85vo7	399	16	.	.	PUNCT
cord-186927-b8i85vo7	400	1	though	though	SCONJ
cord-186927-b8i85vo7	400	2	the	the	DET
cord-186927-b8i85vo7	400	3	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	400	4	of	of	ADP
cord-186927-b8i85vo7	400	5	the	the	DET
cord-186927-b8i85vo7	400	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	400	7	z	z	PROPN
cord-186927-b8i85vo7	400	8	are	be	AUX
cord-186927-b8i85vo7	400	9	somewhat	somewhat	ADV
cord-186927-b8i85vo7	400	10	impacted	impact	VERB
cord-186927-b8i85vo7	400	11	,	,	PUNCT
cord-186927-b8i85vo7	400	12	figure	figure	VERB
cord-186927-b8i85vo7	400	13	7	7	NUM
cord-186927-b8i85vo7	400	14	confirms	confirm	VERB
cord-186927-b8i85vo7	400	15	that	that	SCONJ
cord-186927-b8i85vo7	400	16	this	this	PRON
cord-186927-b8i85vo7	400	17	is	be	AUX
cord-186927-b8i85vo7	400	18	minimal	minimal	ADJ
cord-186927-b8i85vo7	400	19	impact	impact	NOUN
cord-186927-b8i85vo7	400	20	on	on	ADP
cord-186927-b8i85vo7	400	21	the	the	DET
cord-186927-b8i85vo7	400	22	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	400	23	of	of	ADP
cord-186927-b8i85vo7	400	24	i	i	PRON
cord-186927-b8i85vo7	400	25	itself	itself	PRON
cord-186927-b8i85vo7	400	26	.	.	PUNCT
cord-186927-b8i85vo7	401	1	indeed	indeed	ADV
cord-186927-b8i85vo7	401	2	,	,	PUNCT
cord-186927-b8i85vo7	401	3	for	for	ADP
cord-186927-b8i85vo7	401	4	different	different	ADJ
cord-186927-b8i85vo7	401	5	values	value	NOUN
cord-186927-b8i85vo7	401	6	for	for	ADP
cord-186927-b8i85vo7	401	7	z	z	PROPN
cord-186927-b8i85vo7	401	8	max	max	PROPN
cord-186927-b8i85vo7	401	9	,	,	PUNCT
cord-186927-b8i85vo7	401	10	the	the	DET
cord-186927-b8i85vo7	401	11	shape	shape	NOUN
cord-186927-b8i85vo7	401	12	of	of	ADP
cord-186927-b8i85vo7	401	13	the	the	DET
cord-186927-b8i85vo7	401	14	parameter	parameter	NOUN
cord-186927-b8i85vo7	401	15	z	z	PROPN
cord-186927-b8i85vo7	401	16	remains	remain	VERB
cord-186927-b8i85vo7	401	17	the	the	DET
cord-186927-b8i85vo7	401	18	same	same	ADJ
cord-186927-b8i85vo7	401	19	.	.	PUNCT
cord-186927-b8i85vo7	402	1	more	more	ADV
cord-186927-b8i85vo7	402	2	importantly	importantly	ADV
cord-186927-b8i85vo7	402	3	,	,	PUNCT
cord-186927-b8i85vo7	402	4	we	we	PRON
cord-186927-b8i85vo7	402	5	will	will	AUX
cord-186927-b8i85vo7	402	6	see	see	VERB
cord-186927-b8i85vo7	402	7	that	that	SCONJ
cord-186927-b8i85vo7	402	8	the	the	DET
cord-186927-b8i85vo7	402	9	paths	path	NOUN
cord-186927-b8i85vo7	402	10	of	of	ADP
cord-186927-b8i85vo7	402	11	the	the	DET
cord-186927-b8i85vo7	402	12	optimal	optimal	ADJ
cord-186927-b8i85vo7	402	13	transmission	transmission	NOUN
cord-186927-b8i85vo7	402	14	rate	rate	NOUN
cord-186927-b8i85vo7	402	15	,	,	PUNCT
cord-186927-b8i85vo7	402	16	namely	namely	ADV
cord-186927-b8i85vo7	402	17	β	β	PROPN
cord-186927-b8i85vo7	402	18	,	,	PUNCT
cord-186927-b8i85vo7	402	19	associated	associate	VERB
cord-186927-b8i85vo7	402	20	to	to	ADP
cord-186927-b8i85vo7	402	21	different	different	ADJ
cord-186927-b8i85vo7	402	22	z	z	PROPN
cord-186927-b8i85vo7	402	23	max	max	PROPN
cord-186927-b8i85vo7	402	24	,	,	PUNCT
cord-186927-b8i85vo7	402	25	are	be	AUX
cord-186927-b8i85vo7	402	26	almost	almost	ADV
cord-186927-b8i85vo7	402	27	superposed	superpose	VERB
cord-186927-b8i85vo7	402	28	.	.	PUNCT
cord-186927-b8i85vo7	403	1	as	as	ADP
cord-186927-b8i85vo7	403	2	a	a	DET
cord-186927-b8i85vo7	403	3	consequence	consequence	NOUN
cord-186927-b8i85vo7	403	4	,	,	PUNCT
cord-186927-b8i85vo7	403	5	the	the	DET
cord-186927-b8i85vo7	403	6	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	403	7	of	of	ADP
cord-186927-b8i85vo7	403	8	i	i	PRON
cord-186927-b8i85vo7	403	9	also	also	ADV
cord-186927-b8i85vo7	403	10	follows	follow	VERB
cord-186927-b8i85vo7	403	11	almost	almost	ADV
cord-186927-b8i85vo7	403	12	the	the	DET
cord-186927-b8i85vo7	403	13	same	same	ADJ
cord-186927-b8i85vo7	403	14	paths	path	NOUN
cord-186927-b8i85vo7	403	15	independently	independently	ADV
cord-186927-b8i85vo7	403	16	of	of	ADP
cord-186927-b8i85vo7	403	17	z	z	NOUN
cord-186927-b8i85vo7	403	18	max	max	PROPN
cord-186927-b8i85vo7	403	19	.	.	PUNCT
cord-186927-b8i85vo7	404	1	first	first	ADV
cord-186927-b8i85vo7	404	2	,	,	PUNCT
cord-186927-b8i85vo7	404	3	we	we	PRON
cord-186927-b8i85vo7	404	4	present	present	VERB
cord-186927-b8i85vo7	404	5	in	in	ADP
cord-186927-b8i85vo7	404	6	figure	figure	NOUN
cord-186927-b8i85vo7	404	7	7	7	NUM
cord-186927-b8i85vo7	404	8	different	different	ADJ
cord-186927-b8i85vo7	404	9	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	404	10	of	of	ADP
cord-186927-b8i85vo7	404	11	the	the	DET
cord-186927-b8i85vo7	404	12	proportion	proportion	NOUN
cord-186927-b8i85vo7	404	13	i	i	PRON
cord-186927-b8i85vo7	404	14	of	of	ADP
cord-186927-b8i85vo7	404	15	infected	infected	ADJ
cord-186927-b8i85vo7	404	16	when	when	SCONJ
cord-186927-b8i85vo7	404	17	the	the	DET
cord-186927-b8i85vo7	404	18	government	government	NOUN
cord-186927-b8i85vo7	404	19	implements	implement	VERB
cord-186927-b8i85vo7	404	20	the	the	DET
cord-186927-b8i85vo7	404	21	optimal	optimal	ADJ
cord-186927-b8i85vo7	404	22	tax	tax	NOUN
cord-186927-b8i85vo7	404	23	policy	policy	NOUN
cord-186927-b8i85vo7	404	24	,	,	PUNCT
cord-186927-b8i85vo7	404	25	and	and	CCONJ
cord-186927-b8i85vo7	404	26	compare	compare	VERB
cord-186927-b8i85vo7	404	27	it	it	PRON
cord-186927-b8i85vo7	404	28	to	to	ADP
cord-186927-b8i85vo7	404	29	the	the	DET
cord-186927-b8i85vo7	404	30	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	404	31	obtained	obtain	VERB
cord-186927-b8i85vo7	404	32	in	in	ADP
cord-186927-b8i85vo7	404	33	the	the	DET
cord-186927-b8i85vo7	404	34	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	404	35	case	case	NOUN
cord-186927-b8i85vo7	404	36	.	.	PUNCT
cord-186927-b8i85vo7	405	1	as	as	SCONJ
cord-186927-b8i85vo7	405	2	mentioned	mention	VERB
cord-186927-b8i85vo7	405	3	before	before	ADV
cord-186927-b8i85vo7	405	4	,	,	PUNCT
cord-186927-b8i85vo7	405	5	we	we	PRON
cord-186927-b8i85vo7	405	6	also	also	ADV
cord-186927-b8i85vo7	405	7	want	want	VERB
cord-186927-b8i85vo7	405	8	to	to	PART
cord-186927-b8i85vo7	405	9	study	study	VERB
cord-186927-b8i85vo7	405	10	the	the	DET
cord-186927-b8i85vo7	405	11	sensibility	sensibility	NOUN
cord-186927-b8i85vo7	405	12	with	with	ADP
cord-186927-b8i85vo7	405	13	respect	respect	NOUN
cord-186927-b8i85vo7	405	14	to	to	ADP
cord-186927-b8i85vo7	405	15	the	the	DET
cord-186927-b8i85vo7	405	16	arbitrary	arbitrary	ADJ
cord-186927-b8i85vo7	405	17	bound	bind	VERB
cord-186927-b8i85vo7	405	18	z	z	PROPN
cord-186927-b8i85vo7	405	19	max	max	PROPN
cord-186927-b8i85vo7	405	20	,	,	PUNCT
cord-186927-b8i85vo7	405	21	and	and	CCONJ
cord-186927-b8i85vo7	405	22	we	we	PRON
cord-186927-b8i85vo7	405	23	thus	thus	ADV
cord-186927-b8i85vo7	405	24	represent	represent	VERB
cord-186927-b8i85vo7	405	25	the	the	DET
cord-186927-b8i85vo7	405	26	paths	path	NOUN
cord-186927-b8i85vo7	405	27	of	of	ADP
cord-186927-b8i85vo7	405	28	i	i	PRON
cord-186927-b8i85vo7	405	29	in	in	ADP
cord-186927-b8i85vo7	405	30	three	three	NUM
cord-186927-b8i85vo7	405	31	cases	case	NOUN
cord-186927-b8i85vo7	405	32	,	,	PUNCT
cord-186927-b8i85vo7	405	33	in	in	ADP
cord-186927-b8i85vo7	405	34	addition	addition	NOUN
cord-186927-b8i85vo7	405	35	to	to	ADP
cord-186927-b8i85vo7	405	36	the	the	DET
cord-186927-b8i85vo7	405	37	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	405	38	case	case	NOUN
cord-186927-b8i85vo7	405	39	:	:	PUNCT
cord-186927-b8i85vo7	405	40	for	for	ADP
cord-186927-b8i85vo7	405	41	z	z	PROPN
cord-186927-b8i85vo7	405	42	max	max	PROPN
cord-186927-b8i85vo7	405	43	=	=	PROPN
cord-186927-b8i85vo7	405	44	10	10	NUM
cord-186927-b8i85vo7	405	45	(	(	PUNCT
cord-186927-b8i85vo7	405	46	orange	orange	ADJ
cord-186927-b8i85vo7	405	47	curves	curve	NOUN
cord-186927-b8i85vo7	405	48	)	)	PUNCT
cord-186927-b8i85vo7	405	49	,	,	PUNCT
cord-186927-b8i85vo7	405	50	z	z	PROPN
cord-186927-b8i85vo7	405	51	max	max	PROPN
cord-186927-b8i85vo7	405	52	=	=	NOUN
cord-186927-b8i85vo7	405	53	20	20	NUM
cord-186927-b8i85vo7	405	54	(	(	PUNCT
cord-186927-b8i85vo7	405	55	green	green	ADJ
cord-186927-b8i85vo7	405	56	)	)	PUNCT
cord-186927-b8i85vo7	405	57	,	,	PUNCT
cord-186927-b8i85vo7	405	58	and	and	CCONJ
cord-186927-b8i85vo7	405	59	z	z	PROPN
cord-186927-b8i85vo7	405	60	max	max	PROPN
cord-186927-b8i85vo7	405	61	=	=	NOUN
cord-186927-b8i85vo7	405	62	30	30	NUM
cord-186927-b8i85vo7	405	63	(	(	PUNCT
cord-186927-b8i85vo7	405	64	red	red	NOUN
cord-186927-b8i85vo7	405	65	)	)	PUNCT
cord-186927-b8i85vo7	405	66	.	.	PUNCT
cord-186927-b8i85vo7	406	1	then	then	ADV
cord-186927-b8i85vo7	406	2	,	,	PUNCT
cord-186927-b8i85vo7	406	3	the	the	DET
cord-186927-b8i85vo7	406	4	corresponding	corresponding	ADJ
cord-186927-b8i85vo7	406	5	simulations	simulation	NOUN
cord-186927-b8i85vo7	406	6	of	of	ADP
cord-186927-b8i85vo7	406	7	the	the	DET
cord-186927-b8i85vo7	406	8	optimal	optimal	ADJ
cord-186927-b8i85vo7	406	9	control	control	NOUN
cord-186927-b8i85vo7	406	10	z	z	NOUN
cord-186927-b8i85vo7	406	11	of	of	ADP
cord-186927-b8i85vo7	406	12	the	the	DET
cord-186927-b8i85vo7	406	13	government	government	NOUN
cord-186927-b8i85vo7	406	14	,	,	PUNCT
cord-186927-b8i85vo7	406	15	used	use	VERB
cord-186927-b8i85vo7	406	16	to	to	PART
cord-186927-b8i85vo7	406	17	index	index	VERB
cord-186927-b8i85vo7	406	18	the	the	DET
cord-186927-b8i85vo7	406	19	tax	tax	NOUN
cord-186927-b8i85vo7	406	20	on	on	ADP
cord-186927-b8i85vo7	406	21	the	the	DET
cord-186927-b8i85vo7	406	22	proportion	proportion	NOUN
cord-186927-b8i85vo7	406	23	of	of	ADP
cord-186927-b8i85vo7	406	24	infected	infect	VERB
cord-186927-b8i85vo7	406	25	,	,	PUNCT
cord-186927-b8i85vo7	406	26	is	be	AUX
cord-186927-b8i85vo7	406	27	given	give	VERB
cord-186927-b8i85vo7	406	28	in	in	ADP
cord-186927-b8i85vo7	406	29	figure	figure	NOUN
cord-186927-b8i85vo7	406	30	8	8	NUM
cord-186927-b8i85vo7	406	31	.	.	PUNCT
cord-186927-b8i85vo7	407	1	we	we	PRON
cord-186927-b8i85vo7	407	2	compare	compare	VERB
cord-186927-b8i85vo7	407	3	optimal	optimal	ADJ
cord-186927-b8i85vo7	407	4	controls	control	NOUN
cord-186927-b8i85vo7	407	5	β	β	NOUN
cord-186927-b8i85vo7	407	6	and	and	CCONJ
cord-186927-b8i85vo7	407	7	z	z	NOUN
cord-186927-b8i85vo7	407	8	for	for	ADP
cord-186927-b8i85vo7	407	9	the	the	DET
cord-186927-b8i85vo7	407	10	tax	tax	NOUN
cord-186927-b8i85vo7	407	11	policy	policy	NOUN
cord-186927-b8i85vo7	407	12	with	with	ADP
cord-186927-b8i85vo7	407	13	different	different	ADJ
cord-186927-b8i85vo7	407	14	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	407	15	time	time	NOUN
cord-186927-b8i85vo7	407	16	period	period	NOUN
cord-186927-b8i85vo7	407	17	in	in	ADP
cord-186927-b8i85vo7	407	18	figure	figure	NOUN
cord-186927-b8i85vo7	407	19	9	9	NUM
cord-186927-b8i85vo7	407	20	.	.	PUNCT
cord-186927-b8i85vo7	408	1	finally	finally	ADV
cord-186927-b8i85vo7	408	2	,	,	PUNCT
cord-186927-b8i85vo7	408	3	figure	figure	VERB
cord-186927-b8i85vo7	408	4	10	10	NUM
cord-186927-b8i85vo7	408	5	regroups	regroup	NOUN
cord-186927-b8i85vo7	408	6	the	the	DET
cord-186927-b8i85vo7	408	7	simulations	simulation	NOUN
cord-186927-b8i85vo7	408	8	of	of	ADP
cord-186927-b8i85vo7	408	9	the	the	DET
cord-186927-b8i85vo7	408	10	optimal	optimal	ADJ
cord-186927-b8i85vo7	408	11	transmission	transmission	NOUN
cord-186927-b8i85vo7	408	12	rate	rate	NOUN
cord-186927-b8i85vo7	408	13	β	β	X
cord-186927-b8i85vo7	408	14	obtained	obtain	VERB
cord-186927-b8i85vo7	408	15	with	with	ADP
cord-186927-b8i85vo7	408	16	the	the	DET
cord-186927-b8i85vo7	408	17	tax	tax	NOUN
cord-186927-b8i85vo7	408	18	policy	policy	NOUN
cord-186927-b8i85vo7	408	19	,	,	PUNCT
cord-186927-b8i85vo7	408	20	and	and	CCONJ
cord-186927-b8i85vo7	408	21	compare	compare	VERB
cord-186927-b8i85vo7	408	22	it	it	PRON
cord-186927-b8i85vo7	408	23	to	to	ADP
cord-186927-b8i85vo7	408	24	β	β	NOUN
cord-186927-b8i85vo7	408	25	•	•	PUNCT
cord-186927-b8i85vo7	408	26	obtained	obtain	VERB
cord-186927-b8i85vo7	408	27	in	in	ADP
cord-186927-b8i85vo7	408	28	the	the	DET
cord-186927-b8i85vo7	408	29	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	408	30	case	case	NOUN
cord-186927-b8i85vo7	408	31	.	.	PUNCT
cord-186927-b8i85vo7	409	1	the	the	DET
cord-186927-b8i85vo7	409	2	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	409	3	is	be	AUX
cord-186927-b8i85vo7	409	4	at	at	ADP
cord-186927-b8i85vo7	409	5	best	well	ADV
cord-186927-b8i85vo7	409	6	contained	contain	VERB
cord-186927-b8i85vo7	409	7	,	,	PUNCT
cord-186927-b8i85vo7	409	8	and	and	CCONJ
cord-186927-b8i85vo7	409	9	at	at	ADP
cord-186927-b8i85vo7	409	10	worst	worst	ADV
cord-186927-b8i85vo7	409	11	delayed	delay	VERB
cord-186927-b8i85vo7	409	12	.	.	PUNCT
cord-186927-b8i85vo7	410	1	compared	compare	VERB
cord-186927-b8i85vo7	410	2	to	to	ADP
cord-186927-b8i85vo7	410	3	the	the	DET
cord-186927-b8i85vo7	410	4	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	410	5	case	case	NOUN
cord-186927-b8i85vo7	410	6	,	,	PUNCT
cord-186927-b8i85vo7	410	7	we	we	PRON
cord-186927-b8i85vo7	410	8	observe	observe	VERB
cord-186927-b8i85vo7	410	9	in	in	ADP
cord-186927-b8i85vo7	410	10	figure	figure	NOUN
cord-186927-b8i85vo7	410	11	7	7	NUM
cord-186927-b8i85vo7	410	12	that	that	SCONJ
cord-186927-b8i85vo7	410	13	the	the	DET
cord-186927-b8i85vo7	410	14	optimal	optimal	ADJ
cord-186927-b8i85vo7	410	15	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	410	16	policy	policy	NOUN
cord-186927-b8i85vo7	410	17	prevents	prevent	VERB
cord-186927-b8i85vo7	410	18	the	the	DET
cord-186927-b8i85vo7	410	19	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	410	20	peak	peak	NOUN
cord-186927-b8i85vo7	410	21	in	in	ADP
cord-186927-b8i85vo7	410	22	most	most	ADJ
cord-186927-b8i85vo7	410	23	cases	case	NOUN
cord-186927-b8i85vo7	410	24	by	by	ADP
cord-186927-b8i85vo7	410	25	maintaining	maintain	VERB
cord-186927-b8i85vo7	410	26	the	the	DET
cord-186927-b8i85vo7	410	27	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	410	28	to	to	ADP
cord-186927-b8i85vo7	410	29	low	low	ADJ
cord-186927-b8i85vo7	410	30	levels	level	NOUN
cord-186927-b8i85vo7	410	31	of	of	ADP
cord-186927-b8i85vo7	410	32	infection	infection	NOUN
cord-186927-b8i85vo7	410	33	during	during	ADP
cord-186927-b8i85vo7	410	34	the	the	DET
cord-186927-b8i85vo7	410	35	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	410	36	period	period	NOUN
cord-186927-b8i85vo7	410	37	.	.	PUNCT
cord-186927-b8i85vo7	411	1	therefore	therefore	ADV
cord-186927-b8i85vo7	411	2	,	,	PUNCT
cord-186927-b8i85vo7	411	3	the	the	DET
cord-186927-b8i85vo7	411	4	government	government	NOUN
cord-186927-b8i85vo7	411	5	has	have	VERB
cord-186927-b8i85vo7	411	6	more	more	ADJ
cord-186927-b8i85vo7	411	7	time	time	NOUN
cord-186927-b8i85vo7	411	8	to	to	PART
cord-186927-b8i85vo7	411	9	prepare	prepare	VERB
cord-186927-b8i85vo7	411	10	for	for	ADP
cord-186927-b8i85vo7	411	11	a	a	DET
cord-186927-b8i85vo7	411	12	possible	possible	ADJ
cord-186927-b8i85vo7	411	13	infection	infection	NOUN
cord-186927-b8i85vo7	411	14	peak	peak	NOUN
cord-186927-b8i85vo7	411	15	after	after	ADP
cord-186927-b8i85vo7	411	16	the	the	DET
cord-186927-b8i85vo7	411	17	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	411	18	,	,	PUNCT
cord-186927-b8i85vo7	411	19	specifically	specifically	ADV
cord-186927-b8i85vo7	411	20	to	to	PART
cord-186927-b8i85vo7	411	21	increase	increase	VERB
cord-186927-b8i85vo7	411	22	hospital	hospital	NOUN
cord-186927-b8i85vo7	411	23	capacity	capacity	NOUN
cord-186927-b8i85vo7	411	24	and	and	CCONJ
cord-186927-b8i85vo7	411	25	provide	provide	VERB
cord-186927-b8i85vo7	411	26	safety	safety	NOUN
cord-186927-b8i85vo7	411	27	equipment	equipment	NOUN
cord-186927-b8i85vo7	411	28	(	(	PUNCT
cord-186927-b8i85vo7	411	29	surgical	surgical	ADJ
cord-186927-b8i85vo7	411	30	masks	mask	NOUN
cord-186927-b8i85vo7	411	31	,	,	PUNCT
cord-186927-b8i85vo7	411	32	hydro	hydro	NOUN
cord-186927-b8i85vo7	411	33	-	-	PUNCT
cord-186927-b8i85vo7	411	34	alcoholic	alcoholic	ADJ
cord-186927-b8i85vo7	411	35	gel	gel	NOUN
cord-186927-b8i85vo7	411	36	,	,	PUNCT
cord-186927-b8i85vo7	411	37	respirators	respirator	NOUN
cord-186927-b8i85vo7	411	38	...	...	PUNCT
cord-186927-b8i85vo7	411	39	)	)	PUNCT
cord-186927-b8i85vo7	411	40	.	.	PUNCT
cord-186927-b8i85vo7	412	1	the	the	DET
cord-186927-b8i85vo7	412	2	government	government	NOUN
cord-186927-b8i85vo7	412	3	can	can	AUX
cord-186927-b8i85vo7	412	4	also	also	ADV
cord-186927-b8i85vo7	412	5	use	use	VERB
cord-186927-b8i85vo7	412	6	this	this	DET
cord-186927-b8i85vo7	412	7	time	time	NOUN
cord-186927-b8i85vo7	412	8	to	to	PART
cord-186927-b8i85vo7	412	9	fund	fund	VERB
cord-186927-b8i85vo7	412	10	the	the	DET
cord-186927-b8i85vo7	412	11	development	development	NOUN
cord-186927-b8i85vo7	412	12	of	of	ADP
cord-186927-b8i85vo7	412	13	tests	test	NOUN
cord-186927-b8i85vo7	412	14	to	to	PART
cord-186927-b8i85vo7	412	15	detect	detect	VERB
cord-186927-b8i85vo7	412	16	the	the	DET
cord-186927-b8i85vo7	412	17	virus	virus	NOUN
cord-186927-b8i85vo7	412	18	,	,	PUNCT
cord-186927-b8i85vo7	412	19	as	as	ADV
cord-186927-b8i85vo7	412	20	well	well	ADV
cord-186927-b8i85vo7	412	21	as	as	ADP
cord-186927-b8i85vo7	412	22	the	the	DET
cord-186927-b8i85vo7	412	23	research	research	NOUN
cord-186927-b8i85vo7	412	24	on	on	ADP
cord-186927-b8i85vo7	412	25	a	a	DET
cord-186927-b8i85vo7	412	26	vaccine	vaccine	NOUN
cord-186927-b8i85vo7	412	27	or	or	CCONJ
cord-186927-b8i85vo7	412	28	a	a	DET
cord-186927-b8i85vo7	412	29	remedy	remedy	NOUN
cord-186927-b8i85vo7	412	30	for	for	ADP
cord-186927-b8i85vo7	412	31	the	the	DET
cord-186927-b8i85vo7	412	32	related	related	ADJ
cord-186927-b8i85vo7	412	33	disease	disease	NOUN
cord-186927-b8i85vo7	412	34	.	.	PUNCT
cord-186927-b8i85vo7	413	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	413	2	,	,	PUNCT
cord-186927-b8i85vo7	413	3	we	we	PRON
cord-186927-b8i85vo7	413	4	can	can	AUX
cord-186927-b8i85vo7	413	5	see	see	VERB
cord-186927-b8i85vo7	413	6	that	that	PRON
cord-186927-b8i85vo7	413	7	at	at	ADP
cord-186927-b8i85vo7	413	8	the	the	DET
cord-186927-b8i85vo7	413	9	end	end	NOUN
cord-186927-b8i85vo7	413	10	of	of	ADP
cord-186927-b8i85vo7	413	11	the	the	DET
cord-186927-b8i85vo7	413	12	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	413	13	period	period	NOUN
cord-186927-b8i85vo7	413	14	,	,	PUNCT
cord-186927-b8i85vo7	413	15	in	in	ADP
cord-186927-b8i85vo7	413	16	many	many	ADJ
cord-186927-b8i85vo7	413	17	cases	case	NOUN
cord-186927-b8i85vo7	413	18	the	the	DET
cord-186927-b8i85vo7	413	19	virus	virus	NOUN
cord-186927-b8i85vo7	413	20	is	be	AUX
cord-186927-b8i85vo7	413	21	not	not	PART
cord-186927-b8i85vo7	413	22	exterminated	exterminate	VERB
cord-186927-b8i85vo7	413	23	and	and	CCONJ
cord-186927-b8i85vo7	413	24	the	the	DET
cord-186927-b8i85vo7	413	25	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	413	26	may	may	AUX
cord-186927-b8i85vo7	413	27	even	even	ADV
cord-186927-b8i85vo7	413	28	restart	restart	VERB
cord-186927-b8i85vo7	413	29	.	.	PUNCT
cord-186927-b8i85vo7	414	1	this	this	PRON
cord-186927-b8i85vo7	414	2	is	be	AUX
cord-186927-b8i85vo7	414	3	particularly	particularly	ADV
cord-186927-b8i85vo7	414	4	well	well	ADV
cord-186927-b8i85vo7	414	5	illustrated	illustrate	VERB
cord-186927-b8i85vo7	414	6	by	by	ADP
cord-186927-b8i85vo7	414	7	figure	figure	NOUN
cord-186927-b8i85vo7	414	8	11	11	NUM
cord-186927-b8i85vo7	414	9	,	,	PUNCT
cord-186927-b8i85vo7	414	10	representing	represent	VERB
cord-186927-b8i85vo7	414	11	500	500	NUM
cord-186927-b8i85vo7	414	12	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	414	13	of	of	ADP
cord-186927-b8i85vo7	414	14	i	i	PRON
cord-186927-b8i85vo7	414	15	,	,	PUNCT
cord-186927-b8i85vo7	414	16	obtained	obtain	VERB
cord-186927-b8i85vo7	414	17	with	with	ADP
cord-186927-b8i85vo7	414	18	the	the	DET
cord-186927-b8i85vo7	414	19	optimal	optimal	ADJ
cord-186927-b8i85vo7	414	20	control	control	NOUN
cord-186927-b8i85vo7	414	21	.	.	PUNCT
cord-186927-b8i85vo7	415	1	such	such	DET
cord-186927-b8i85vo7	415	2	a	a	DET
cord-186927-b8i85vo7	415	3	phenomenon	phenomenon	NOUN
cord-186927-b8i85vo7	415	4	can	can	AUX
cord-186927-b8i85vo7	415	5	be	be	AUX
cord-186927-b8i85vo7	415	6	understood	understand	VERB
cord-186927-b8i85vo7	415	7	as	as	SCONJ
cord-186927-b8i85vo7	415	8	follows	follow	VERB
cord-186927-b8i85vo7	415	9	:	:	PUNCT
cord-186927-b8i85vo7	415	10	the	the	DET
cord-186927-b8i85vo7	415	11	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	415	12	slows	slow	VERB
cord-186927-b8i85vo7	415	13	down	down	ADP
cord-186927-b8i85vo7	415	14	the	the	DET
cord-186927-b8i85vo7	415	15	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	415	16	,	,	PUNCT
cord-186927-b8i85vo7	415	17	so	so	SCONJ
cord-186927-b8i85vo7	415	18	that	that	SCONJ
cord-186927-b8i85vo7	415	19	a	a	DET
cord-186927-b8i85vo7	415	20	very	very	ADV
cord-186927-b8i85vo7	415	21	small	small	ADJ
cord-186927-b8i85vo7	415	22	proportion	proportion	NOUN
cord-186927-b8i85vo7	415	23	of	of	ADP
cord-186927-b8i85vo7	415	24	the	the	DET
cord-186927-b8i85vo7	415	25	population	population	NOUN
cord-186927-b8i85vo7	415	26	has	have	AUX
cord-186927-b8i85vo7	415	27	been	be	AUX
cord-186927-b8i85vo7	415	28	infected	infect	VERB
cord-186927-b8i85vo7	415	29	and	and	CCONJ
cord-186927-b8i85vo7	415	30	is	be	AUX
cord-186927-b8i85vo7	415	31	therefore	therefore	ADV
cord-186927-b8i85vo7	415	32	immune	immune	ADJ
cord-186927-b8i85vo7	415	33	.	.	PUNCT
cord-186927-b8i85vo7	416	1	we	we	PRON
cord-186927-b8i85vo7	416	2	thus	thus	ADV
cord-186927-b8i85vo7	416	3	can	can	AUX
cord-186927-b8i85vo7	416	4	not	not	PART
cord-186927-b8i85vo7	416	5	thus	thus	ADV
cord-186927-b8i85vo7	416	6	rely	rely	VERB
cord-186927-b8i85vo7	416	7	on	on	ADP
cord-186927-b8i85vo7	416	8	herd	herd	NOUN
cord-186927-b8i85vo7	416	9	immunity	immunity	NOUN
cord-186927-b8i85vo7	416	10	,	,	PUNCT
cord-186927-b8i85vo7	416	11	which	which	PRON
cord-186927-b8i85vo7	416	12	is	be	AUX
cord-186927-b8i85vo7	416	13	reached	reach	VERB
cord-186927-b8i85vo7	416	14	if	if	SCONJ
cord-186927-b8i85vo7	416	15	at	at	ADV
cord-186927-b8i85vo7	416	16	least	least	ADV
cord-186927-b8i85vo7	416	17	50	50	NUM
cord-186927-b8i85vo7	416	18	%	%	NOUN
cord-186927-b8i85vo7	416	19	of	of	ADP
cord-186927-b8i85vo7	416	20	the	the	DET
cord-186927-b8i85vo7	416	21	population	population	NOUN
cord-186927-b8i85vo7	416	22	has	have	AUX
cord-186927-b8i85vo7	416	23	been	be	AUX
cord-186927-b8i85vo7	416	24	contaminated	contaminate	VERB
cord-186927-b8i85vo7	416	25	,	,	PUNCT
cord-186927-b8i85vo7	416	26	to	to	PART
cord-186927-b8i85vo7	416	27	prevent	prevent	VERB
cord-186927-b8i85vo7	416	28	a	a	DET
cord-186927-b8i85vo7	416	29	resurgence	resurgence	NOUN
cord-186927-b8i85vo7	416	30	of	of	ADP
cord-186927-b8i85vo7	416	31	the	the	DET
cord-186927-b8i85vo7	416	32	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	416	33	.	.	PUNCT
cord-186927-b8i85vo7	417	1	consequently	consequently	ADV
cord-186927-b8i85vo7	417	2	,	,	PUNCT
cord-186927-b8i85vo7	417	3	this	this	DET
cord-186927-b8i85vo7	417	4	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	417	5	policy	policy	NOUN
cord-186927-b8i85vo7	417	6	is	be	AUX
cord-186927-b8i85vo7	417	7	a	a	DET
cord-186927-b8i85vo7	417	8	powerful	powerful	ADJ
cord-186927-b8i85vo7	417	9	leverage	leverage	NOUN
cord-186927-b8i85vo7	417	10	to	to	PART
cord-186927-b8i85vo7	417	11	control	control	VERB
cord-186927-b8i85vo7	417	12	an	an	DET
cord-186927-b8i85vo7	417	13	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	417	14	,	,	PUNCT
cord-186927-b8i85vo7	417	15	but	but	CCONJ
cord-186927-b8i85vo7	417	16	this	this	DET
cord-186927-b8i85vo7	417	17	tool	tool	NOUN
cord-186927-b8i85vo7	417	18	needs	need	VERB
cord-186927-b8i85vo7	417	19	to	to	PART
cord-186927-b8i85vo7	417	20	be	be	AUX
cord-186927-b8i85vo7	417	21	supplemented	supplement	VERB
cord-186927-b8i85vo7	417	22	by	by	ADP
cord-186927-b8i85vo7	417	23	alternative	alternative	ADJ
cord-186927-b8i85vo7	417	24	policies	policy	NOUN
cord-186927-b8i85vo7	417	25	,	,	PUNCT
cord-186927-b8i85vo7	417	26	such	such	ADJ
cord-186927-b8i85vo7	417	27	as	as	ADP
cord-186927-b8i85vo7	417	28	those	those	PRON
cord-186927-b8i85vo7	417	29	mentioned	mention	VERB
cord-186927-b8i85vo7	417	30	above	above	ADV
cord-186927-b8i85vo7	417	31	,	,	PUNCT
cord-186927-b8i85vo7	417	32	in	in	ADP
cord-186927-b8i85vo7	417	33	order	order	NOUN
cord-186927-b8i85vo7	417	34	to	to	PART
cord-186927-b8i85vo7	417	35	be	be	AUX
cord-186927-b8i85vo7	417	36	fully	fully	ADV
cord-186927-b8i85vo7	417	37	effective	effective	ADJ
cord-186927-b8i85vo7	417	38	.	.	PUNCT
cord-186927-b8i85vo7	418	1	if	if	SCONJ
cord-186927-b8i85vo7	418	2	the	the	DET
cord-186927-b8i85vo7	418	3	time	time	NOUN
cord-186927-b8i85vo7	418	4	saved	save	VERB
cord-186927-b8i85vo7	418	5	through	through	ADP
cord-186927-b8i85vo7	418	6	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	418	7	is	be	AUX
cord-186927-b8i85vo7	418	8	not	not	PART
cord-186927-b8i85vo7	418	9	exploited	exploit	VERB
cord-186927-b8i85vo7	418	10	,	,	PUNCT
cord-186927-b8i85vo7	418	11	it	it	PRON
cord-186927-b8i85vo7	418	12	will	will	AUX
cord-186927-b8i85vo7	418	13	have	have	VERB
cord-186927-b8i85vo7	418	14	no	no	DET
cord-186927-b8i85vo7	418	15	impact	impact	NOUN
cord-186927-b8i85vo7	418	16	on	on	ADP
cord-186927-b8i85vo7	418	17	the	the	DET
cord-186927-b8i85vo7	418	18	final	final	ADJ
cord-186927-b8i85vo7	418	19	consequences	consequence	NOUN
cord-186927-b8i85vo7	418	20	of	of	ADP
cord-186927-b8i85vo7	418	21	the	the	DET
cord-186927-b8i85vo7	418	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	418	23	,	,	PUNCT
cord-186927-b8i85vo7	418	24	measured	measure	VERB
cord-186927-b8i85vo7	418	25	by	by	ADP
cord-186927-b8i85vo7	418	26	the	the	DET
cord-186927-b8i85vo7	418	27	economic	economic	ADJ
cord-186927-b8i85vo7	418	28	and	and	CCONJ
cord-186927-b8i85vo7	418	29	social	social	ADJ
cord-186927-b8i85vo7	418	30	cost	cost	NOUN
cord-186927-b8i85vo7	418	31	associated	associate	VERB
cord-186927-b8i85vo7	418	32	with	with	ADP
cord-186927-b8i85vo7	418	33	the	the	DET
cord-186927-b8i85vo7	418	34	total	total	ADJ
cord-186927-b8i85vo7	418	35	number	number	NOUN
cord-186927-b8i85vo7	418	36	of	of	ADP
cord-186927-b8i85vo7	418	37	people	people	NOUN
cord-186927-b8i85vo7	418	38	infected	infect	VERB
cord-186927-b8i85vo7	418	39	and	and	CCONJ
cord-186927-b8i85vo7	418	40	deceased	decease	VERB
cord-186927-b8i85vo7	418	41	during	during	ADP
cord-186927-b8i85vo7	418	42	the	the	DET
cord-186927-b8i85vo7	418	43	total	total	ADJ
cord-186927-b8i85vo7	418	44	duration	duration	NOUN
cord-186927-b8i85vo7	418	45	of	of	ADP
cord-186927-b8i85vo7	418	46	the	the	DET
cord-186927-b8i85vo7	418	47	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	418	48	.	.	PUNCT
cord-186927-b8i85vo7	419	1	policy	policy	NOUN
cord-186927-b8i85vo7	419	2	implications	implication	NOUN
cord-186927-b8i85vo7	419	3	by	by	ADP
cord-186927-b8i85vo7	419	4	comparing	compare	VERB
cord-186927-b8i85vo7	419	5	the	the	DET
cord-186927-b8i85vo7	419	6	graphs	graph	NOUN
cord-186927-b8i85vo7	419	7	in	in	ADP
cord-186927-b8i85vo7	419	8	figure	figure	NOUN
cord-186927-b8i85vo7	419	9	8	8	NUM
cord-186927-b8i85vo7	419	10	,	,	PUNCT
cord-186927-b8i85vo7	419	11	we	we	PRON
cord-186927-b8i85vo7	419	12	first	first	ADV
cord-186927-b8i85vo7	419	13	remark	remark	VERB
cord-186927-b8i85vo7	419	14	that	that	SCONJ
cord-186927-b8i85vo7	419	15	the	the	DET
cord-186927-b8i85vo7	419	16	shape	shape	NOUN
cord-186927-b8i85vo7	419	17	of	of	ADP
cord-186927-b8i85vo7	419	18	the	the	DET
cord-186927-b8i85vo7	419	19	optimal	optimal	ADJ
cord-186927-b8i85vo7	419	20	indexation	indexation	NOUN
cord-186927-b8i85vo7	419	21	parameter	parameter	NOUN
cord-186927-b8i85vo7	419	22	rate	rate	NOUN
cord-186927-b8i85vo7	419	23	z	z	NOUN
cord-186927-b8i85vo7	419	24	remains	remain	VERB
cord-186927-b8i85vo7	419	25	the	the	DET
cord-186927-b8i85vo7	419	26	same	same	ADJ
cord-186927-b8i85vo7	419	27	,	,	PUNCT
cord-186927-b8i85vo7	419	28	regardless	regardless	ADV
cord-186927-b8i85vo7	419	29	of	of	ADP
cord-186927-b8i85vo7	419	30	the	the	DET
cord-186927-b8i85vo7	419	31	simulation	simulation	NOUN
cord-186927-b8i85vo7	419	32	and	and	CCONJ
cord-186927-b8i85vo7	419	33	the	the	DET
cord-186927-b8i85vo7	419	34	value	value	NOUN
cord-186927-b8i85vo7	419	35	of	of	ADP
cord-186927-b8i85vo7	419	36	z	z	NOUN
cord-186927-b8i85vo7	419	37	max	max	PROPN
cord-186927-b8i85vo7	419	38	.	.	PUNCT
cord-186927-b8i85vo7	420	1	the	the	DET
cord-186927-b8i85vo7	420	2	control	control	NOUN
cord-186927-b8i85vo7	420	3	takes	take	VERB
cord-186927-b8i85vo7	420	4	the	the	DET
cord-186927-b8i85vo7	420	5	most	most	ADV
cord-186927-b8i85vo7	420	6	negative	negative	ADJ
cord-186927-b8i85vo7	420	7	value	value	NOUN
cord-186927-b8i85vo7	420	8	possible	possible	ADJ
cord-186927-b8i85vo7	420	9	(	(	PUNCT
cord-186927-b8i85vo7	420	10	−z	−z	PROPN
cord-186927-b8i85vo7	420	11	max	max	PROPN
cord-186927-b8i85vo7	420	12	)	)	PUNCT
cord-186927-b8i85vo7	420	13	for	for	ADP
cord-186927-b8i85vo7	420	14	about	about	ADV
cord-186927-b8i85vo7	420	15	20	20	NUM
cord-186927-b8i85vo7	420	16	days	day	NOUN
cord-186927-b8i85vo7	420	17	,	,	PUNCT
cord-186927-b8i85vo7	420	18	then	then	ADV
cord-186927-b8i85vo7	420	19	increases	increase	VERB
cord-186927-b8i85vo7	420	20	almost	almost	ADV
cord-186927-b8i85vo7	420	21	instantaneously	instantaneously	ADV
cord-186927-b8i85vo7	420	22	to	to	PART
cord-186927-b8i85vo7	420	23	reach	reach	VERB
cord-186927-b8i85vo7	420	24	the	the	DET
cord-186927-b8i85vo7	420	25	maximum	maximum	ADJ
cord-186927-b8i85vo7	420	26	value	value	NOUN
cord-186927-b8i85vo7	420	27	z	z	NOUN
cord-186927-b8i85vo7	420	28	max	max	PROPN
cord-186927-b8i85vo7	420	29	,	,	PUNCT
cord-186927-b8i85vo7	420	30	before	before	ADP
cord-186927-b8i85vo7	420	31	slowly	slowly	ADV
cord-186927-b8i85vo7	420	32	decreasing	decrease	VERB
cord-186927-b8i85vo7	420	33	to	to	ADP
cord-186927-b8i85vo7	420	34	0	0	NUM
cord-186927-b8i85vo7	420	35	.	.	PUNCT
cord-186927-b8i85vo7	421	1	therefore	therefore	ADV
cord-186927-b8i85vo7	421	2	,	,	PUNCT
cord-186927-b8i85vo7	421	3	the	the	DET
cord-186927-b8i85vo7	421	4	optimal	optimal	ADJ
cord-186927-b8i85vo7	421	5	tax	tax	NOUN
cord-186927-b8i85vo7	421	6	scheme	scheme	NOUN
cord-186927-b8i85vo7	421	7	set	set	VERB
cord-186927-b8i85vo7	421	8	by	by	ADP
cord-186927-b8i85vo7	421	9	the	the	DET
cord-186927-b8i85vo7	421	10	government	government	NOUN
cord-186927-b8i85vo7	421	11	is	be	AUX
cord-186927-b8i85vo7	421	12	as	as	SCONJ
cord-186927-b8i85vo7	421	13	follows	follow	VERB
cord-186927-b8i85vo7	421	14	.	.	PUNCT
cord-186927-b8i85vo7	422	1	first	first	ADV
cord-186927-b8i85vo7	422	2	,	,	PUNCT
cord-186927-b8i85vo7	422	3	at	at	ADP
cord-186927-b8i85vo7	422	4	the	the	DET
cord-186927-b8i85vo7	422	5	beginning	beginning	NOUN
cord-186927-b8i85vo7	422	6	of	of	ADP
cord-186927-b8i85vo7	422	7	the	the	DET
cord-186927-b8i85vo7	422	8	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	422	9	,	,	PUNCT
cord-186927-b8i85vo7	422	10	it	it	PRON
cord-186927-b8i85vo7	422	11	seems	seem	VERB
cord-186927-b8i85vo7	422	12	optimal	optimal	ADJ
cord-186927-b8i85vo7	422	13	to	to	PART
cord-186927-b8i85vo7	422	14	give	give	VERB
cord-186927-b8i85vo7	422	15	to	to	ADP
cord-186927-b8i85vo7	422	16	the	the	DET
cord-186927-b8i85vo7	422	17	population	population	NOUN
cord-186927-b8i85vo7	422	18	a	a	DET
cord-186927-b8i85vo7	422	19	compensation	compensation	NOUN
cord-186927-b8i85vo7	422	20	(	(	PUNCT
cord-186927-b8i85vo7	422	21	corresponding	correspond	VERB
cord-186927-b8i85vo7	422	22	to	to	ADP
cord-186927-b8i85vo7	422	23	a	a	DET
cord-186927-b8i85vo7	422	24	negative	negative	ADJ
cord-186927-b8i85vo7	422	25	tax	tax	NOUN
cord-186927-b8i85vo7	422	26	)	)	PUNCT
cord-186927-b8i85vo7	422	27	as	as	ADV
cord-186927-b8i85vo7	422	28	maximal	maximal	ADJ
cord-186927-b8i85vo7	422	29	as	as	ADP
cord-186927-b8i85vo7	422	30	possible	possible	ADJ
cord-186927-b8i85vo7	422	31	,	,	PUNCT
cord-186927-b8i85vo7	422	32	by	by	ADP
cord-186927-b8i85vo7	422	33	setting	set	VERB
cord-186927-b8i85vo7	422	34	z	z	NOUN
cord-186927-b8i85vo7	422	35	=	=	NOUN
cord-186927-b8i85vo7	422	36	−z	−z	X
cord-186927-b8i85vo7	422	37	max	max	PROPN
cord-186927-b8i85vo7	422	38	.	.	PUNCT
cord-186927-b8i85vo7	423	1	though	though	SCONJ
cord-186927-b8i85vo7	423	2	this	this	PRON
cord-186927-b8i85vo7	423	3	may	may	AUX
cord-186927-b8i85vo7	423	4	be	be	AUX
cord-186927-b8i85vo7	423	5	a	a	DET
cord-186927-b8i85vo7	423	6	numerical	numerical	ADJ
cord-186927-b8i85vo7	423	7	artefact	artefact	NOUN
cord-186927-b8i85vo7	423	8	,	,	PUNCT
cord-186927-b8i85vo7	423	9	given	give	VERB
cord-186927-b8i85vo7	423	10	that	that	SCONJ
cord-186927-b8i85vo7	423	11	the	the	DET
cord-186927-b8i85vo7	423	12	initial	initial	ADJ
cord-186927-b8i85vo7	423	13	values	value	NOUN
cord-186927-b8i85vo7	423	14	of	of	ADP
cord-186927-b8i85vo7	423	15	i	i	PRON
cord-186927-b8i85vo7	423	16	and	and	CCONJ
cord-186927-b8i85vo7	423	17	its	its	PRON
cord-186927-b8i85vo7	423	18	variations	variation	NOUN
cord-186927-b8i85vo7	423	19	are	be	AUX
cord-186927-b8i85vo7	423	20	extremely	extremely	ADV
cord-186927-b8i85vo7	423	21	low	low	ADJ
cord-186927-b8i85vo7	423	22	,	,	PUNCT
cord-186927-b8i85vo7	423	23	the	the	DET
cord-186927-b8i85vo7	423	24	fact	fact	NOUN
cord-186927-b8i85vo7	423	25	that	that	SCONJ
cord-186927-b8i85vo7	423	26	the	the	DET
cord-186927-b8i85vo7	423	27	same	same	ADJ
cord-186927-b8i85vo7	423	28	phenomenon	phenomenon	NOUN
cord-186927-b8i85vo7	423	29	appeared	appear	VERB
cord-186927-b8i85vo7	423	30	in	in	ADP
cord-186927-b8i85vo7	423	31	virtually	virtually	ADV
cord-186927-b8i85vo7	423	32	all	all	DET
cord-186927-b8i85vo7	423	33	our	our	PRON
cord-186927-b8i85vo7	423	34	simulations	simulation	NOUN
cord-186927-b8i85vo7	423	35	tends	tend	VERB
cord-186927-b8i85vo7	423	36	to	to	PART
cord-186927-b8i85vo7	423	37	show	show	VERB
cord-186927-b8i85vo7	423	38	that	that	SCONJ
cord-186927-b8i85vo7	423	39	it	it	PRON
cord-186927-b8i85vo7	423	40	is	be	AUX
cord-186927-b8i85vo7	423	41	actually	actually	ADV
cord-186927-b8i85vo7	423	42	significant	significant	ADJ
cord-186927-b8i85vo7	423	43	.	.	PUNCT
cord-186927-b8i85vo7	424	1	we	we	PRON
cord-186927-b8i85vo7	424	2	interpret	interpret	VERB
cord-186927-b8i85vo7	424	3	this	this	PRON
cord-186927-b8i85vo7	424	4	as	as	ADP
cord-186927-b8i85vo7	424	5	a	a	DET
cord-186927-b8i85vo7	424	6	the	the	DET
cord-186927-b8i85vo7	424	7	government	government	NOUN
cord-186927-b8i85vo7	424	8	anticipating	anticipate	VERB
cord-186927-b8i85vo7	424	9	the	the	DET
cord-186927-b8i85vo7	424	10	negative	negative	ADJ
cord-186927-b8i85vo7	424	11	consequences	consequence	NOUN
cord-186927-b8i85vo7	424	12	of	of	ADP
cord-186927-b8i85vo7	424	13	the	the	DET
cord-186927-b8i85vo7	424	14	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	424	15	policy	policy	NOUN
cord-186927-b8i85vo7	424	16	by	by	ADP
cord-186927-b8i85vo7	424	17	immediately	immediately	ADV
cord-186927-b8i85vo7	424	18	providing	provide	VERB
cord-186927-b8i85vo7	424	19	monetary	monetary	ADJ
cord-186927-b8i85vo7	424	20	relief	relief	NOUN
cord-186927-b8i85vo7	424	21	to	to	ADP
cord-186927-b8i85vo7	424	22	the	the	DET
cord-186927-b8i85vo7	424	23	population	population	NOUN
cord-186927-b8i85vo7	424	24	.	.	PUNCT
cord-186927-b8i85vo7	425	1	this	this	PRON
cord-186927-b8i85vo7	425	2	is	be	AUX
cord-186927-b8i85vo7	425	3	exactly	exactly	ADV
cord-186927-b8i85vo7	425	4	what	what	PRON
cord-186927-b8i85vo7	425	5	happened	happen	VERB
cord-186927-b8i85vo7	425	6	in	in	ADP
cord-186927-b8i85vo7	425	7	several	several	ADJ
cord-186927-b8i85vo7	425	8	countries	country	NOUN
cord-186927-b8i85vo7	425	9	,	,	PUNCT
cord-186927-b8i85vo7	425	10	for	for	ADP
cord-186927-b8i85vo7	425	11	instance	instance	NOUN
cord-186927-b8i85vo7	425	12	in	in	ADP
cord-186927-b8i85vo7	425	13	the	the	DET
cord-186927-b8i85vo7	425	14	usa	usa	PROPN
cord-186927-b8i85vo7	425	15	with	with	ADP
cord-186927-b8i85vo7	425	16	stimulus	stimulus	NOUN
cord-186927-b8i85vo7	425	17	checks	check	NOUN
cord-186927-b8i85vo7	425	18	sent	send	VERB
cord-186927-b8i85vo7	425	19	to	to	ADP
cord-186927-b8i85vo7	425	20	every	every	DET
cord-186927-b8i85vo7	425	21	citizen	citizen	NOUN
cord-186927-b8i85vo7	425	22	,	,	PUNCT
cord-186927-b8i85vo7	425	23	and	and	CCONJ
cord-186927-b8i85vo7	425	24	our	our	PRON
cord-186927-b8i85vo7	425	25	model	model	NOUN
cord-186927-b8i85vo7	425	26	endogenously	endogenously	ADV
cord-186927-b8i85vo7	425	27	reproduces	reproduce	VERB
cord-186927-b8i85vo7	425	28	this	this	DET
cord-186927-b8i85vo7	425	29	aspect	aspect	NOUN
cord-186927-b8i85vo7	425	30	.	.	PUNCT
cord-186927-b8i85vo7	426	1	policy	policy	NOUN
cord-186927-b8i85vo7	426	2	-	-	PUNCT
cord-186927-b8i85vo7	426	3	wise	wise	ADV
cord-186927-b8i85vo7	426	4	,	,	PUNCT
cord-186927-b8i85vo7	426	5	it	it	PRON
cord-186927-b8i85vo7	426	6	also	also	ADV
cord-186927-b8i85vo7	426	7	shows	show	VERB
cord-186927-b8i85vo7	426	8	that	that	SCONJ
cord-186927-b8i85vo7	426	9	maximum	maximum	ADJ
cord-186927-b8i85vo7	426	10	efficiency	efficiency	NOUN
cord-186927-b8i85vo7	426	11	for	for	ADP
cord-186927-b8i85vo7	426	12	such	such	ADJ
cord-186927-b8i85vo7	426	13	stimulus	stimulus	NOUN
cord-186927-b8i85vo7	426	14	packages	package	NOUN
cord-186927-b8i85vo7	426	15	is	be	AUX
cord-186927-b8i85vo7	426	16	attained	attain	VERB
cord-186927-b8i85vo7	426	17	when	when	SCONJ
cord-186927-b8i85vo7	426	18	they	they	PRON
cord-186927-b8i85vo7	426	19	are	be	AUX
cord-186927-b8i85vo7	426	20	provided	provide	VERB
cord-186927-b8i85vo7	426	21	to	to	ADP
cord-186927-b8i85vo7	426	22	the	the	DET
cord-186927-b8i85vo7	426	23	population	population	NOUN
cord-186927-b8i85vo7	426	24	as	as	ADV
cord-186927-b8i85vo7	426	25	early	early	ADV
cord-186927-b8i85vo7	426	26	as	as	ADP
cord-186927-b8i85vo7	426	27	possible	possible	ADJ
cord-186927-b8i85vo7	426	28	.	.	PUNCT
cord-186927-b8i85vo7	427	1	after	after	ADP
cord-186927-b8i85vo7	427	2	this	this	DET
cord-186927-b8i85vo7	427	3	initial	initial	ADJ
cord-186927-b8i85vo7	427	4	phase	phase	NOUN
cord-186927-b8i85vo7	427	5	,	,	PUNCT
cord-186927-b8i85vo7	427	6	when	when	SCONJ
cord-186927-b8i85vo7	427	7	the	the	DET
cord-186927-b8i85vo7	427	8	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	427	9	spreads	spread	VERB
cord-186927-b8i85vo7	427	10	among	among	ADP
cord-186927-b8i85vo7	427	11	the	the	DET
cord-186927-b8i85vo7	427	12	population	population	NOUN
cord-186927-b8i85vo7	427	13	,	,	PUNCT
cord-186927-b8i85vo7	427	14	the	the	DET
cord-186927-b8i85vo7	427	15	government	government	NOUN
cord-186927-b8i85vo7	427	16	suddenly	suddenly	ADV
cord-186927-b8i85vo7	427	17	increases	increase	VERB
cord-186927-b8i85vo7	427	18	z	z	NUM
cord-186927-b8i85vo7	427	19	,	,	PUNCT
cord-186927-b8i85vo7	427	20	so	so	SCONJ
cord-186927-b8i85vo7	427	21	that	that	SCONJ
cord-186927-b8i85vo7	427	22	the	the	DET
cord-186927-b8i85vo7	427	23	tax	tax	NOUN
cord-186927-b8i85vo7	427	24	becomes	become	VERB
cord-186927-b8i85vo7	427	25	positive	positive	ADJ
cord-186927-b8i85vo7	427	26	and	and	CCONJ
cord-186927-b8i85vo7	427	27	is	be	AUX
cord-186927-b8i85vo7	427	28	in	in	ADP
cord-186927-b8i85vo7	427	29	fact	fact	NOUN
cord-186927-b8i85vo7	427	30	maximum	maximum	ADJ
cord-186927-b8i85vo7	427	31	,	,	PUNCT
cord-186927-b8i85vo7	427	32	in	in	ADP
cord-186927-b8i85vo7	427	33	order	order	NOUN
cord-186927-b8i85vo7	427	34	to	to	PART
cord-186927-b8i85vo7	427	35	deter	deter	VERB
cord-186927-b8i85vo7	427	36	people	people	NOUN
cord-186927-b8i85vo7	427	37	from	from	ADP
cord-186927-b8i85vo7	427	38	interacting	interact	VERB
cord-186927-b8i85vo7	427	39	.	.	PUNCT
cord-186927-b8i85vo7	428	1	approaching	approach	VERB
cord-186927-b8i85vo7	428	2	the	the	DET
cord-186927-b8i85vo7	428	3	maturity	maturity	NOUN
cord-186927-b8i85vo7	428	4	,	,	PUNCT
cord-186927-b8i85vo7	428	5	the	the	DET
cord-186927-b8i85vo7	428	6	government	government	NOUN
cord-186927-b8i85vo7	428	7	eases	ease	VERB
cord-186927-b8i85vo7	428	8	the	the	DET
cord-186927-b8i85vo7	428	9	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	428	10	little	little	ADJ
cord-186927-b8i85vo7	428	11	by	by	ADP
cord-186927-b8i85vo7	428	12	little	little	ADJ
cord-186927-b8i85vo7	428	13	.	.	PUNCT
cord-186927-b8i85vo7	429	1	however	however	ADV
cord-186927-b8i85vo7	429	2	,	,	PUNCT
cord-186927-b8i85vo7	429	3	this	this	DET
cord-186927-b8i85vo7	429	4	end	end	NOUN
cord-186927-b8i85vo7	429	5	of	of	ADP
cord-186927-b8i85vo7	429	6	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	429	7	may	may	AUX
cord-186927-b8i85vo7	429	8	be	be	AUX
cord-186927-b8i85vo7	429	9	premature	premature	ADJ
cord-186927-b8i85vo7	429	10	,	,	PUNCT
cord-186927-b8i85vo7	429	11	since	since	SCONJ
cord-186927-b8i85vo7	429	12	we	we	PRON
cord-186927-b8i85vo7	429	13	have	have	AUX
cord-186927-b8i85vo7	429	14	observed	observe	VERB
cord-186927-b8i85vo7	429	15	in	in	ADP
cord-186927-b8i85vo7	429	16	the	the	DET
cord-186927-b8i85vo7	429	17	previous	previous	ADJ
cord-186927-b8i85vo7	429	18	figures	figure	NOUN
cord-186927-b8i85vo7	429	19	that	that	SCONJ
cord-186927-b8i85vo7	429	20	the	the	DET
cord-186927-b8i85vo7	429	21	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	429	22	may	may	AUX
cord-186927-b8i85vo7	429	23	restart	restart	VERB
cord-186927-b8i85vo7	429	24	at	at	ADP
cord-186927-b8i85vo7	429	25	the	the	DET
cord-186927-b8i85vo7	429	26	end	end	NOUN
cord-186927-b8i85vo7	429	27	of	of	ADP
cord-186927-b8i85vo7	429	28	the	the	DET
cord-186927-b8i85vo7	429	29	considered	considered	ADJ
cord-186927-b8i85vo7	429	30	period	period	NOUN
cord-186927-b8i85vo7	429	31	.	.	PUNCT
cord-186927-b8i85vo7	430	1	indeed	indeed	ADV
cord-186927-b8i85vo7	430	2	,	,	PUNCT
cord-186927-b8i85vo7	430	3	considering	consider	VERB
cord-186927-b8i85vo7	430	4	a	a	DET
cord-186927-b8i85vo7	430	5	final	final	ADJ
cord-186927-b8i85vo7	430	6	time	time	NOUN
cord-186927-b8i85vo7	430	7	horizon	horizon	NOUN
cord-186927-b8i85vo7	430	8	is	be	AUX
cord-186927-b8i85vo7	430	9	equivalent	equivalent	ADJ
cord-186927-b8i85vo7	430	10	to	to	ADP
cord-186927-b8i85vo7	430	11	assuming	assume	VERB
cord-186927-b8i85vo7	430	12	that	that	SCONJ
cord-186927-b8i85vo7	430	13	'	'	PUNCT
cord-186927-b8i85vo7	430	14	the	the	DET
cord-186927-b8i85vo7	430	15	world	world	NOUN
cord-186927-b8i85vo7	430	16	'	'	PART
cord-186927-b8i85vo7	430	17	stops	stop	NOUN
cord-186927-b8i85vo7	430	18	at	at	ADP
cord-186927-b8i85vo7	430	19	that	that	DET
cord-186927-b8i85vo7	430	20	time	time	NOUN
cord-186927-b8i85vo7	430	21	:	:	PUNCT
cord-186927-b8i85vo7	430	22	all	all	DET
cord-186927-b8i85vo7	430	23	the	the	DET
cord-186927-b8i85vo7	430	24	potential	potential	ADJ
cord-186927-b8i85vo7	430	25	costs	cost	NOUN
cord-186927-b8i85vo7	430	26	generated	generate	VERB
cord-186927-b8i85vo7	430	27	by	by	ADP
cord-186927-b8i85vo7	430	28	the	the	DET
cord-186927-b8i85vo7	430	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	430	30	after	after	SCONJ
cord-186927-b8i85vo7	430	31	t	t	NOUN
cord-186927-b8i85vo7	430	32	are	be	AUX
cord-186927-b8i85vo7	430	33	not	not	PART
cord-186927-b8i85vo7	430	34	taken	take	VERB
cord-186927-b8i85vo7	430	35	into	into	ADP
cord-186927-b8i85vo7	430	36	account	account	NOUN
cord-186927-b8i85vo7	430	37	in	in	ADP
cord-186927-b8i85vo7	430	38	the	the	DET
cord-186927-b8i85vo7	430	39	model	model	NOUN
cord-186927-b8i85vo7	430	40	.	.	PUNCT
cord-186927-b8i85vo7	431	1	the	the	DET
cord-186927-b8i85vo7	431	2	government	government	NOUN
cord-186927-b8i85vo7	431	3	thus	thus	ADV
cord-186927-b8i85vo7	431	4	has	have	VERB
cord-186927-b8i85vo7	431	5	no	no	DET
cord-186927-b8i85vo7	431	6	interest	interest	NOUN
cord-186927-b8i85vo7	431	7	in	in	ADP
cord-186927-b8i85vo7	431	8	implementing	implement	VERB
cord-186927-b8i85vo7	431	9	costly	costly	ADJ
cord-186927-b8i85vo7	431	10	measures	measure	NOUN
cord-186927-b8i85vo7	431	11	,	,	PUNCT
cord-186927-b8i85vo7	431	12	whose	whose	DET
cord-186927-b8i85vo7	431	13	subsequent	subsequent	ADJ
cord-186927-b8i85vo7	431	14	impact	impact	NOUN
cord-186927-b8i85vo7	431	15	on	on	ADP
cord-186927-b8i85vo7	431	16	the	the	DET
cord-186927-b8i85vo7	431	17	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	431	18	will	will	AUX
cord-186927-b8i85vo7	431	19	not	not	PART
cord-186927-b8i85vo7	431	20	be	be	AUX
cord-186927-b8i85vo7	431	21	measured	measure	VERB
cord-186927-b8i85vo7	431	22	.	.	PUNCT
cord-186927-b8i85vo7	432	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	432	2	,	,	PUNCT
cord-186927-b8i85vo7	432	3	this	this	DET
cord-186927-b8i85vo7	432	4	boundary	boundary	ADJ
cord-186927-b8i85vo7	432	5	effect	effect	NOUN
cord-186927-b8i85vo7	432	6	has	have	VERB
cord-186927-b8i85vo7	432	7	no	no	DET
cord-186927-b8i85vo7	432	8	impact	impact	NOUN
cord-186927-b8i85vo7	432	9	on	on	ADP
cord-186927-b8i85vo7	432	10	the	the	DET
cord-186927-b8i85vo7	432	11	previous	previous	ADJ
cord-186927-b8i85vo7	432	12	results	result	NOUN
cord-186927-b8i85vo7	432	13	and	and	CCONJ
cord-186927-b8i85vo7	432	14	interpretations	interpretation	NOUN
cord-186927-b8i85vo7	432	15	.	.	PUNCT
cord-186927-b8i85vo7	433	1	indeed	indeed	ADV
cord-186927-b8i85vo7	433	2	,	,	PUNCT
cord-186927-b8i85vo7	433	3	we	we	PRON
cord-186927-b8i85vo7	433	4	remark	remark	VERB
cord-186927-b8i85vo7	433	5	in	in	ADP
cord-186927-b8i85vo7	433	6	the	the	DET
cord-186927-b8i85vo7	433	7	numerical	numerical	ADJ
cord-186927-b8i85vo7	433	8	results	result	NOUN
cord-186927-b8i85vo7	433	9	that	that	SCONJ
cord-186927-b8i85vo7	433	10	if	if	SCONJ
cord-186927-b8i85vo7	433	11	we	we	PRON
cord-186927-b8i85vo7	433	12	consider	consider	VERB
cord-186927-b8i85vo7	433	13	a	a	DET
cord-186927-b8i85vo7	433	14	more	more	ADV
cord-186927-b8i85vo7	433	15	distant	distant	ADJ
cord-186927-b8i85vo7	433	16	time	time	NOUN
cord-186927-b8i85vo7	433	17	t	t	NOUN
cord-186927-b8i85vo7	433	18	,	,	PUNCT
cord-186927-b8i85vo7	433	19	the	the	DET
cord-186927-b8i85vo7	433	20	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	433	21	certainly	certainly	ADV
cord-186927-b8i85vo7	433	22	lasts	last	VERB
cord-186927-b8i85vo7	433	23	longer	long	ADV
cord-186927-b8i85vo7	433	24	,	,	PUNCT
cord-186927-b8i85vo7	433	25	but	but	CCONJ
cord-186927-b8i85vo7	433	26	follows	follow	VERB
cord-186927-b8i85vo7	433	27	the	the	DET
cord-186927-b8i85vo7	433	28	exact	exact	ADJ
cord-186927-b8i85vo7	433	29	same	same	ADJ
cord-186927-b8i85vo7	433	30	paths	path	NOUN
cord-186927-b8i85vo7	433	31	during	during	ADP
cord-186927-b8i85vo7	433	32	most	most	ADJ
cord-186927-b8i85vo7	433	33	of	of	ADP
cord-186927-b8i85vo7	433	34	the	the	DET
cord-186927-b8i85vo7	433	35	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	433	36	period	period	NOUN
cord-186927-b8i85vo7	433	37	,	,	PUNCT
cord-186927-b8i85vo7	433	38	and	and	CCONJ
cord-186927-b8i85vo7	433	39	its	its	PRON
cord-186927-b8i85vo7	433	40	release	release	NOUN
cord-186927-b8i85vo7	433	41	occurs	occur	VERB
cord-186927-b8i85vo7	433	42	around	around	ADP
cord-186927-b8i85vo7	433	43	the	the	DET
cord-186927-b8i85vo7	433	44	same	same	ADJ
cord-186927-b8i85vo7	433	45	time	time	NOUN
cord-186927-b8i85vo7	433	46	before	before	ADP
cord-186927-b8i85vo7	433	47	maturity	maturity	NOUN
cord-186927-b8i85vo7	433	48	(	(	PUNCT
cord-186927-b8i85vo7	433	49	see	see	VERB
cord-186927-b8i85vo7	433	50	figure	figure	NOUN
cord-186927-b8i85vo7	433	51	9	9	NUM
cord-186927-b8i85vo7	433	52	below	below	ADP
cord-186927-b8i85vo7	433	53	)	)	PUNCT
cord-186927-b8i85vo7	433	54	.	.	PUNCT
cord-186927-b8i85vo7	434	1	moreover	moreover	ADV
cord-186927-b8i85vo7	434	2	,	,	PUNCT
cord-186927-b8i85vo7	434	3	the	the	DET
cord-186927-b8i85vo7	434	4	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	434	5	period	period	NOUN
cord-186927-b8i85vo7	434	6	should	should	AUX
cord-186927-b8i85vo7	434	7	still	still	ADV
cord-186927-b8i85vo7	434	8	end	end	VERB
cord-186927-b8i85vo7	434	9	at	at	ADP
cord-186927-b8i85vo7	434	10	some	some	DET
cord-186927-b8i85vo7	434	11	time	time	NOUN
cord-186927-b8i85vo7	434	12	,	,	PUNCT
cord-186927-b8i85vo7	434	13	which	which	PRON
cord-186927-b8i85vo7	434	14	is	be	AUX
cord-186927-b8i85vo7	434	15	why	why	SCONJ
cord-186927-b8i85vo7	434	16	a	a	DET
cord-186927-b8i85vo7	434	17	finite	finite	ADJ
cord-186927-b8i85vo7	434	18	terminal	terminal	NOUN
cord-186927-b8i85vo7	434	19	time	time	NOUN
cord-186927-b8i85vo7	434	20	is	be	AUX
cord-186927-b8i85vo7	434	21	assumed	assume	VERB
cord-186927-b8i85vo7	434	22	.	.	PUNCT
cord-186927-b8i85vo7	435	1	this	this	DET
cord-186927-b8i85vo7	435	2	time	time	NOUN
cord-186927-b8i85vo7	435	3	may	may	AUX
cord-186927-b8i85vo7	435	4	correspond	correspond	VERB
cord-186927-b8i85vo7	435	5	to	to	ADP
cord-186927-b8i85vo7	435	6	an	an	DET
cord-186927-b8i85vo7	435	7	estimate	estimate	NOUN
cord-186927-b8i85vo7	435	8	of	of	ADP
cord-186927-b8i85vo7	435	9	the	the	DET
cord-186927-b8i85vo7	435	10	time	time	NOUN
cord-186927-b8i85vo7	435	11	needed	need	VERB
cord-186927-b8i85vo7	435	12	to	to	PART
cord-186927-b8i85vo7	435	13	implement	implement	VERB
cord-186927-b8i85vo7	435	14	other	other	ADJ
cord-186927-b8i85vo7	435	15	more	more	ADV
cord-186927-b8i85vo7	435	16	sustainable	sustainable	ADJ
cord-186927-b8i85vo7	435	17	policies	policy	NOUN
cord-186927-b8i85vo7	435	18	than	than	SCONJ
cord-186927-b8i85vo7	435	19	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	435	20	,	,	PUNCT
cord-186927-b8i85vo7	435	21	such	such	ADJ
cord-186927-b8i85vo7	435	22	as	as	ADP
cord-186927-b8i85vo7	435	23	the	the	DET
cord-186927-b8i85vo7	435	24	implementation	implementation	NOUN
cord-186927-b8i85vo7	435	25	of	of	ADP
cord-186927-b8i85vo7	435	26	an	an	DET
cord-186927-b8i85vo7	435	27	active	active	ADJ
cord-186927-b8i85vo7	435	28	testing	testing	NOUN
cord-186927-b8i85vo7	435	29	policy	policy	NOUN
cord-186927-b8i85vo7	435	30	,	,	PUNCT
cord-186927-b8i85vo7	435	31	or	or	CCONJ
cord-186927-b8i85vo7	435	32	to	to	PART
cord-186927-b8i85vo7	435	33	hope	hope	VERB
cord-186927-b8i85vo7	435	34	for	for	ADP
cord-186927-b8i85vo7	435	35	the	the	DET
cord-186927-b8i85vo7	435	36	discovery	discovery	NOUN
cord-186927-b8i85vo7	435	37	of	of	ADP
cord-186927-b8i85vo7	435	38	a	a	DET
cord-186927-b8i85vo7	435	39	vaccine	vaccine	NOUN
cord-186927-b8i85vo7	435	40	or	or	CCONJ
cord-186927-b8i85vo7	435	41	cure	cure	NOUN
cord-186927-b8i85vo7	435	42	,	,	PUNCT
cord-186927-b8i85vo7	435	43	as	as	SCONJ
cord-186927-b8i85vo7	435	44	mentioned	mention	VERB
cord-186927-b8i85vo7	435	45	above	above	ADV
cord-186927-b8i85vo7	435	46	.	.	PUNCT
cord-186927-b8i85vo7	436	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	436	2	control	control	VERB
cord-186927-b8i85vo7	436	3	z	z	X
cord-186927-b8i85vo7	436	4	optimal	optimal	ADJ
cord-186927-b8i85vo7	436	5	tax	tax	NOUN
cord-186927-b8i85vo7	436	6	sensitivity	sensitivity	NOUN
cord-186927-b8i85vo7	436	7	with	with	ADP
cord-186927-b8i85vo7	436	8	respect	respect	NOUN
cord-186927-b8i85vo7	436	9	to	to	ADP
cord-186927-b8i85vo7	436	10	the	the	DET
cord-186927-b8i85vo7	436	11	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	436	12	duration	duration	NOUN
cord-186927-b8i85vo7	436	13	.	.	PUNCT
cord-186927-b8i85vo7	437	1	on	on	ADP
cord-186927-b8i85vo7	437	2	figure	figure	NOUN
cord-186927-b8i85vo7	437	3	9	9	NUM
cord-186927-b8i85vo7	437	4	,	,	PUNCT
cord-186927-b8i85vo7	437	5	we	we	PRON
cord-186927-b8i85vo7	437	6	give	give	VERB
cord-186927-b8i85vo7	437	7	two	two	NUM
cord-186927-b8i85vo7	437	8	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	437	9	of	of	ADP
cord-186927-b8i85vo7	437	10	the	the	DET
cord-186927-b8i85vo7	437	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	437	12	contact	contact	NOUN
cord-186927-b8i85vo7	437	13	rate	rate	NOUN
cord-186927-b8i85vo7	437	14	β	β	NOUN
cord-186927-b8i85vo7	437	15	(	(	PUNCT
cord-186927-b8i85vo7	437	16	on	on	ADP
cord-186927-b8i85vo7	437	17	the	the	DET
cord-186927-b8i85vo7	437	18	left	left	NOUN
cord-186927-b8i85vo7	437	19	)	)	PUNCT
cord-186927-b8i85vo7	437	20	and	and	CCONJ
cord-186927-b8i85vo7	437	21	the	the	DET
cord-186927-b8i85vo7	437	22	optimal	optimal	ADJ
cord-186927-b8i85vo7	437	23	indexation	indexation	NOUN
cord-186927-b8i85vo7	437	24	parameter	parameter	NOUN
cord-186927-b8i85vo7	437	25	z	z	NOUN
cord-186927-b8i85vo7	437	26	(	(	PUNCT
cord-186927-b8i85vo7	437	27	on	on	ADP
cord-186927-b8i85vo7	437	28	the	the	DET
cord-186927-b8i85vo7	437	29	right	right	NOUN
cord-186927-b8i85vo7	437	30	)	)	PUNCT
cord-186927-b8i85vo7	437	31	for	for	ADP
cord-186927-b8i85vo7	437	32	two	two	NUM
cord-186927-b8i85vo7	437	33	different	different	ADJ
cord-186927-b8i85vo7	437	34	maturities	maturity	NOUN
cord-186927-b8i85vo7	437	35	.	.	PUNCT
cord-186927-b8i85vo7	438	1	it	it	PRON
cord-186927-b8i85vo7	438	2	is	be	AUX
cord-186927-b8i85vo7	438	3	clear	clear	ADJ
cord-186927-b8i85vo7	438	4	that	that	SCONJ
cord-186927-b8i85vo7	438	5	both	both	DET
cord-186927-b8i85vo7	438	6	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	438	7	follow	follow	VERB
cord-186927-b8i85vo7	438	8	the	the	DET
cord-186927-b8i85vo7	438	9	same	same	ADJ
cord-186927-b8i85vo7	438	10	paths	path	NOUN
cord-186927-b8i85vo7	438	11	until	until	ADP
cord-186927-b8i85vo7	438	12	some	some	DET
cord-186927-b8i85vo7	438	13	point	point	NOUN
cord-186927-b8i85vo7	438	14	.	.	PUNCT
cord-186927-b8i85vo7	439	1	regardless	regardless	ADV
cord-186927-b8i85vo7	439	2	of	of	ADP
cord-186927-b8i85vo7	439	3	the	the	DET
cord-186927-b8i85vo7	439	4	maturity	maturity	NOUN
cord-186927-b8i85vo7	439	5	,	,	PUNCT
cord-186927-b8i85vo7	439	6	the	the	DET
cord-186927-b8i85vo7	439	7	contact	contact	NOUN
cord-186927-b8i85vo7	439	8	rate	rate	NOUN
cord-186927-b8i85vo7	439	9	β	β	NOUN
cord-186927-b8i85vo7	439	10	and	and	CCONJ
cord-186927-b8i85vo7	439	11	the	the	DET
cord-186927-b8i85vo7	439	12	parameter	parameter	NOUN
cord-186927-b8i85vo7	439	13	z	z	X
cord-186927-b8i85vo7	439	14	have	have	VERB
cord-186927-b8i85vo7	439	15	the	the	DET
cord-186927-b8i85vo7	439	16	same	same	ADJ
cord-186927-b8i85vo7	439	17	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	439	18	as	as	ADP
cord-186927-b8i85vo7	439	19	those	those	PRON
cord-186927-b8i85vo7	439	20	shown	show	VERB
cord-186927-b8i85vo7	439	21	respectively	respectively	ADV
cord-186927-b8i85vo7	439	22	in	in	ADP
cord-186927-b8i85vo7	439	23	figures	figure	NOUN
cord-186927-b8i85vo7	439	24	8	8	NUM
cord-186927-b8i85vo7	439	25	and	and	CCONJ
cord-186927-b8i85vo7	439	26	10	10	NUM
cord-186927-b8i85vo7	439	27	.	.	PUNCT
cord-186927-b8i85vo7	440	1	as	as	SCONJ
cord-186927-b8i85vo7	440	2	one	one	NUM
cord-186927-b8i85vo7	440	3	approaches	approach	VERB
cord-186927-b8i85vo7	440	4	the	the	DET
cord-186927-b8i85vo7	440	5	shortest	short	ADJ
cord-186927-b8i85vo7	440	6	maturity	maturity	NOUN
cord-186927-b8i85vo7	440	7	,	,	PUNCT
cord-186927-b8i85vo7	440	8	i.e.	i.e.	X
cord-186927-b8i85vo7	440	9	t	t	PROPN
cord-186927-b8i85vo7	440	10	=	=	NOUN
cord-186927-b8i85vo7	440	11	200	200	NUM
cord-186927-b8i85vo7	440	12	,	,	PUNCT
cord-186927-b8i85vo7	440	13	the	the	DET
cord-186927-b8i85vo7	440	14	parameter	parameter	NOUN
cord-186927-b8i85vo7	440	15	z	z	X
cord-186927-b8i85vo7	440	16	decreases	decrease	VERB
cord-186927-b8i85vo7	440	17	towards	towards	ADP
cord-186927-b8i85vo7	440	18	0	0	NUM
cord-186927-b8i85vo7	440	19	for	for	ADP
cord-186927-b8i85vo7	440	20	the	the	DET
cord-186927-b8i85vo7	440	21	contract	contract	NOUN
cord-186927-b8i85vo7	440	22	of	of	ADP
cord-186927-b8i85vo7	440	23	this	this	DET
cord-186927-b8i85vo7	440	24	maturity	maturity	NOUN
cord-186927-b8i85vo7	440	25	,	,	PUNCT
cord-186927-b8i85vo7	440	26	while	while	SCONJ
cord-186927-b8i85vo7	440	27	the	the	DET
cord-186927-b8i85vo7	440	28	other	other	ADJ
cord-186927-b8i85vo7	440	29	remains	remain	VERB
cord-186927-b8i85vo7	440	30	at	at	ADP
cord-186927-b8i85vo7	440	31	the	the	DET
cord-186927-b8i85vo7	440	32	maximum	maximum	NOUN
cord-186927-b8i85vo7	440	33	,	,	PUNCT
cord-186927-b8i85vo7	440	34	and	and	CCONJ
cord-186927-b8i85vo7	440	35	decreases	decrease	VERB
cord-186927-b8i85vo7	440	36	later	later	ADV
cord-186927-b8i85vo7	440	37	,	,	PUNCT
cord-186927-b8i85vo7	440	38	as	as	ADP
cord-186927-b8i85vo7	440	39	its	its	PRON
cord-186927-b8i85vo7	440	40	maturity	maturity	NOUN
cord-186927-b8i85vo7	440	41	approaches	approach	NOUN
cord-186927-b8i85vo7	440	42	.	.	PUNCT
cord-186927-b8i85vo7	441	1	therefore	therefore	ADV
cord-186927-b8i85vo7	441	2	,	,	PUNCT
cord-186927-b8i85vo7	441	3	the	the	DET
cord-186927-b8i85vo7	441	4	fact	fact	NOUN
cord-186927-b8i85vo7	441	5	that	that	SCONJ
cord-186927-b8i85vo7	441	6	z	z	NOUN
cord-186927-b8i85vo7	441	7	decreases	decrease	VERB
cord-186927-b8i85vo7	441	8	at	at	ADP
cord-186927-b8i85vo7	441	9	maturity	maturity	NOUN
cord-186927-b8i85vo7	441	10	,	,	PUNCT
cord-186927-b8i85vo7	441	11	as	as	SCONJ
cord-186927-b8i85vo7	441	12	mentioned	mention	VERB
cord-186927-b8i85vo7	441	13	in	in	ADP
cord-186927-b8i85vo7	441	14	the	the	DET
cord-186927-b8i85vo7	441	15	paragraph	paragraph	NOUN
cord-186927-b8i85vo7	441	16	'	'	PUNCT
cord-186927-b8i85vo7	441	17	policy	policy	NOUN
cord-186927-b8i85vo7	441	18	implications	implication	NOUN
cord-186927-b8i85vo7	441	19	'	'	PART
cord-186927-b8i85vo7	441	20	above	above	ADV
cord-186927-b8i85vo7	441	21	appears	appear	VERB
cord-186927-b8i85vo7	441	22	to	to	PART
cord-186927-b8i85vo7	441	23	be	be	AUX
cord-186927-b8i85vo7	441	24	a	a	DET
cord-186927-b8i85vo7	441	25	boundary	boundary	ADJ
cord-186927-b8i85vo7	441	26	effect	effect	NOUN
cord-186927-b8i85vo7	441	27	since	since	SCONJ
cord-186927-b8i85vo7	441	28	it	it	PRON
cord-186927-b8i85vo7	441	29	is	be	AUX
cord-186927-b8i85vo7	441	30	not	not	PART
cord-186927-b8i85vo7	441	31	sensitive	sensitive	ADJ
cord-186927-b8i85vo7	441	32	with	with	ADP
cord-186927-b8i85vo7	441	33	respect	respect	NOUN
cord-186927-b8i85vo7	441	34	to	to	ADP
cord-186927-b8i85vo7	441	35	the	the	DET
cord-186927-b8i85vo7	441	36	maturity	maturity	NOUN
cord-186927-b8i85vo7	441	37	.	.	PUNCT
cord-186927-b8i85vo7	442	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	442	2	interaction	interaction	NOUN
cord-186927-b8i85vo7	442	3	rate	rate	NOUN
cord-186927-b8i85vo7	442	4	and	and	CCONJ
cord-186927-b8i85vo7	442	5	comparison	comparison	NOUN
cord-186927-b8i85vo7	442	6	with	with	ADP
cord-186927-b8i85vo7	442	7	the	the	DET
cord-186927-b8i85vo7	442	8	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	442	9	case	case	NOUN
cord-186927-b8i85vo7	442	10	.	.	PUNCT
cord-186927-b8i85vo7	443	1	we	we	PRON
cord-186927-b8i85vo7	443	2	now	now	ADV
cord-186927-b8i85vo7	443	3	explain	explain	VERB
cord-186927-b8i85vo7	443	4	the	the	DET
cord-186927-b8i85vo7	443	5	general	general	ADJ
cord-186927-b8i85vo7	443	6	trend	trend	NOUN
cord-186927-b8i85vo7	443	7	of	of	ADP
cord-186927-b8i85vo7	443	8	the	the	DET
cord-186927-b8i85vo7	443	9	optimal	optimal	ADJ
cord-186927-b8i85vo7	443	10	interaction	interaction	NOUN
cord-186927-b8i85vo7	443	11	rate	rate	NOUN
cord-186927-b8i85vo7	443	12	.	.	PUNCT
cord-186927-b8i85vo7	444	1	in	in	ADP
cord-186927-b8i85vo7	444	2	the	the	DET
cord-186927-b8i85vo7	444	3	beginning	beginning	NOUN
cord-186927-b8i85vo7	444	4	,	,	PUNCT
cord-186927-b8i85vo7	444	5	recall	recall	VERB
cord-186927-b8i85vo7	444	6	that	that	SCONJ
cord-186927-b8i85vo7	444	7	z	z	NOUN
cord-186927-b8i85vo7	444	8	is	be	AUX
cord-186927-b8i85vo7	444	9	negative	negative	ADJ
cord-186927-b8i85vo7	444	10	,	,	PUNCT
cord-186927-b8i85vo7	444	11	meaning	mean	VERB
cord-186927-b8i85vo7	444	12	that	that	SCONJ
cord-186927-b8i85vo7	444	13	the	the	DET
cord-186927-b8i85vo7	444	14	tax	tax	NOUN
cord-186927-b8i85vo7	444	15	is	be	AUX
cord-186927-b8i85vo7	444	16	negatively	negatively	ADV
cord-186927-b8i85vo7	444	17	indexed	index	VERB
cord-186927-b8i85vo7	444	18	on	on	ADP
cord-186927-b8i85vo7	444	19	the	the	DET
cord-186927-b8i85vo7	444	20	variation	variation	NOUN
cord-186927-b8i85vo7	444	21	of	of	ADP
cord-186927-b8i85vo7	444	22	i.	i.	PROPN
cord-186927-b8i85vo7	444	23	in	in	ADP
cord-186927-b8i85vo7	444	24	other	other	ADJ
cord-186927-b8i85vo7	444	25	words	word	NOUN
cord-186927-b8i85vo7	444	26	,	,	PUNCT
cord-186927-b8i85vo7	444	27	since	since	SCONJ
cord-186927-b8i85vo7	444	28	i	i	PRON
cord-186927-b8i85vo7	444	29	is	be	AUX
cord-186927-b8i85vo7	444	30	globally	globally	ADV
cord-186927-b8i85vo7	444	31	(	(	PUNCT
cord-186927-b8i85vo7	444	32	but	but	CCONJ
cord-186927-b8i85vo7	444	33	very	very	ADV
cord-186927-b8i85vo7	444	34	slightly	slightly	ADV
cord-186927-b8i85vo7	444	35	)	)	PUNCT
cord-186927-b8i85vo7	444	36	increasing	increase	VERB
cord-186927-b8i85vo7	444	37	at	at	ADP
cord-186927-b8i85vo7	444	38	the	the	DET
cord-186927-b8i85vo7	444	39	beginning	beginning	NOUN
cord-186927-b8i85vo7	444	40	of	of	ADP
cord-186927-b8i85vo7	444	41	the	the	DET
cord-186927-b8i85vo7	444	42	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	444	43	,	,	PUNCT
cord-186927-b8i85vo7	444	44	the	the	DET
cord-186927-b8i85vo7	444	45	compensation	compensation	NOUN
cord-186927-b8i85vo7	444	46	increases	increase	VERB
cord-186927-b8i85vo7	444	47	with	with	ADP
cord-186927-b8i85vo7	444	48	i	i	PRON
cord-186927-b8i85vo7	444	49	,	,	PUNCT
cord-186927-b8i85vo7	444	50	which	which	PRON
cord-186927-b8i85vo7	444	51	means	mean	VERB
cord-186927-b8i85vo7	444	52	that	that	SCONJ
cord-186927-b8i85vo7	444	53	the	the	DET
cord-186927-b8i85vo7	444	54	population	population	NOUN
cord-186927-b8i85vo7	444	55	is	be	AUX
cord-186927-b8i85vo7	444	56	not	not	PART
cord-186927-b8i85vo7	444	57	incentivised	incentivise	VERB
cord-186927-b8i85vo7	444	58	at	at	ADV
cord-186927-b8i85vo7	444	59	all	all	ADV
cord-186927-b8i85vo7	444	60	to	to	PART
cord-186927-b8i85vo7	444	61	decrease	decrease	VERB
cord-186927-b8i85vo7	444	62	their	their	PRON
cord-186927-b8i85vo7	444	63	contact	contact	NOUN
cord-186927-b8i85vo7	444	64	rate	rate	NOUN
cord-186927-b8i85vo7	444	65	,	,	PUNCT
cord-186927-b8i85vo7	444	66	and	and	CCONJ
cord-186927-b8i85vo7	444	67	thus	thus	ADV
cord-186927-b8i85vo7	444	68	the	the	DET
cord-186927-b8i85vo7	444	69	transmission	transmission	NOUN
cord-186927-b8i85vo7	444	70	rate	rate	NOUN
cord-186927-b8i85vo7	444	71	of	of	ADP
cord-186927-b8i85vo7	444	72	the	the	DET
cord-186927-b8i85vo7	444	73	virus	virus	NOUN
cord-186927-b8i85vo7	444	74	,	,	PUNCT
cord-186927-b8i85vo7	444	75	which	which	PRON
cord-186927-b8i85vo7	444	76	remains	remain	VERB
cord-186927-b8i85vo7	444	77	equal	equal	ADJ
cord-186927-b8i85vo7	444	78	to	to	ADP
cord-186927-b8i85vo7	444	79	the	the	DET
cord-186927-b8i85vo7	444	80	initial	initial	ADJ
cord-186927-b8i85vo7	444	81	level	level	NOUN
cord-186927-b8i85vo7	444	82	β	β	NOUN
cord-186927-b8i85vo7	444	83	.	.	PUNCT
cord-186927-b8i85vo7	445	1	then	then	ADV
cord-186927-b8i85vo7	445	2	,	,	PUNCT
cord-186927-b8i85vo7	445	3	as	as	SCONJ
cord-186927-b8i85vo7	445	4	the	the	DET
cord-186927-b8i85vo7	445	5	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	445	6	spreads	spread	VERB
cord-186927-b8i85vo7	445	7	,	,	PUNCT
cord-186927-b8i85vo7	445	8	z	z	NOUN
cord-186927-b8i85vo7	445	9	becomes	become	VERB
cord-186927-b8i85vo7	445	10	very	very	ADV
cord-186927-b8i85vo7	445	11	high	high	ADJ
cord-186927-b8i85vo7	445	12	,	,	PUNCT
cord-186927-b8i85vo7	445	13	which	which	PRON
cord-186927-b8i85vo7	445	14	now	now	ADV
cord-186927-b8i85vo7	445	15	incentivises	incentivise	VERB
cord-186927-b8i85vo7	445	16	the	the	DET
cord-186927-b8i85vo7	445	17	population	population	NOUN
cord-186927-b8i85vo7	445	18	to	to	PART
cord-186927-b8i85vo7	445	19	reduce	reduce	VERB
cord-186927-b8i85vo7	445	20	the	the	DET
cord-186927-b8i85vo7	445	21	transmission	transmission	NOUN
cord-186927-b8i85vo7	445	22	rate	rate	NOUN
cord-186927-b8i85vo7	445	23	below	below	ADP
cord-186927-b8i85vo7	445	24	β	β	NOUN
cord-186927-b8i85vo7	445	25	.	.	PUNCT
cord-186927-b8i85vo7	446	1	finally	finally	ADV
cord-186927-b8i85vo7	446	2	,	,	PUNCT
cord-186927-b8i85vo7	446	3	near	near	ADP
cord-186927-b8i85vo7	446	4	the	the	DET
cord-186927-b8i85vo7	446	5	end	end	NOUN
cord-186927-b8i85vo7	446	6	of	of	ADP
cord-186927-b8i85vo7	446	7	the	the	DET
cord-186927-b8i85vo7	446	8	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	446	9	period	period	NOUN
cord-186927-b8i85vo7	446	10	,	,	PUNCT
cord-186927-b8i85vo7	446	11	z	z	NOUN
cord-186927-b8i85vo7	446	12	plunges	plunge	NOUN
cord-186927-b8i85vo7	446	13	to	to	ADP
cord-186927-b8i85vo7	446	14	zero	zero	NUM
cord-186927-b8i85vo7	446	15	,	,	PUNCT
cord-186927-b8i85vo7	446	16	which	which	PRON
cord-186927-b8i85vo7	446	17	naturally	naturally	ADV
cord-186927-b8i85vo7	446	18	implies	imply	VERB
cord-186927-b8i85vo7	446	19	that	that	SCONJ
cord-186927-b8i85vo7	446	20	the	the	DET
cord-186927-b8i85vo7	446	21	optimal	optimal	ADJ
cord-186927-b8i85vo7	446	22	contact	contact	NOUN
cord-186927-b8i85vo7	446	23	rate	rate	NOUN
cord-186927-b8i85vo7	446	24	β	β	NOUN
cord-186927-b8i85vo7	446	25	goes	go	VERB
cord-186927-b8i85vo7	446	26	back	back	ADV
cord-186927-b8i85vo7	446	27	to	to	ADP
cord-186927-b8i85vo7	446	28	its	its	PRON
cord-186927-b8i85vo7	446	29	usual	usual	ADJ
cord-186927-b8i85vo7	446	30	level	level	NOUN
cord-186927-b8i85vo7	446	31	β	β	NOUN
cord-186927-b8i85vo7	446	32	.	.	PUNCT
cord-186927-b8i85vo7	447	1	by	by	ADP
cord-186927-b8i85vo7	447	2	comparing	compare	VERB
cord-186927-b8i85vo7	447	3	with	with	ADP
cord-186927-b8i85vo7	447	4	the	the	DET
cord-186927-b8i85vo7	447	5	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	447	6	case	case	NOUN
cord-186927-b8i85vo7	447	7	,	,	PUNCT
cord-186927-b8i85vo7	447	8	we	we	PRON
cord-186927-b8i85vo7	447	9	see	see	VERB
cord-186927-b8i85vo7	447	10	that	that	SCONJ
cord-186927-b8i85vo7	447	11	the	the	DET
cord-186927-b8i85vo7	447	12	tax	tax	NOUN
cord-186927-b8i85vo7	447	13	policy	policy	NOUN
cord-186927-b8i85vo7	447	14	succeeds	succeed	VERB
cord-186927-b8i85vo7	447	15	in	in	ADP
cord-186927-b8i85vo7	447	16	reducing	reduce	VERB
cord-186927-b8i85vo7	447	17	significantly	significantly	ADV
cord-186927-b8i85vo7	447	18	the	the	DET
cord-186927-b8i85vo7	447	19	interaction	interaction	NOUN
cord-186927-b8i85vo7	447	20	rate	rate	NOUN
cord-186927-b8i85vo7	447	21	.	.	PUNCT
cord-186927-b8i85vo7	448	1	as	as	ADP
cord-186927-b8i85vo7	448	2	a	a	DET
cord-186927-b8i85vo7	448	3	consequence	consequence	NOUN
cord-186927-b8i85vo7	448	4	,	,	PUNCT
cord-186927-b8i85vo7	448	5	and	and	CCONJ
cord-186927-b8i85vo7	448	6	as	as	SCONJ
cord-186927-b8i85vo7	448	7	we	we	PRON
cord-186927-b8i85vo7	448	8	have	have	AUX
cord-186927-b8i85vo7	448	9	seen	see	VERB
cord-186927-b8i85vo7	448	10	in	in	ADP
cord-186927-b8i85vo7	448	11	figure	figure	NOUN
cord-186927-b8i85vo7	448	12	7	7	NUM
cord-186927-b8i85vo7	448	13	,	,	PUNCT
cord-186927-b8i85vo7	448	14	the	the	DET
cord-186927-b8i85vo7	448	15	tax	tax	NOUN
cord-186927-b8i85vo7	448	16	policy	policy	NOUN
cord-186927-b8i85vo7	448	17	contains	contain	VERB
cord-186927-b8i85vo7	448	18	the	the	DET
cord-186927-b8i85vo7	448	19	spread	spread	NOUN
cord-186927-b8i85vo7	448	20	of	of	ADP
cord-186927-b8i85vo7	448	21	the	the	DET
cord-186927-b8i85vo7	448	22	disease	disease	NOUN
cord-186927-b8i85vo7	448	23	during	during	ADP
cord-186927-b8i85vo7	448	24	the	the	DET
cord-186927-b8i85vo7	448	25	considered	consider	VERB
cord-186927-b8i85vo7	448	26	time	time	NOUN
cord-186927-b8i85vo7	448	27	period	period	NOUN
cord-186927-b8i85vo7	448	28	,	,	PUNCT
cord-186927-b8i85vo7	448	29	unlike	unlike	ADP
cord-186927-b8i85vo7	448	30	in	in	ADP
cord-186927-b8i85vo7	448	31	the	the	DET
cord-186927-b8i85vo7	448	32	case	case	NOUN
cord-186927-b8i85vo7	448	33	without	without	ADP
cord-186927-b8i85vo7	448	34	intervention	intervention	NOUN
cord-186927-b8i85vo7	448	35	of	of	ADP
cord-186927-b8i85vo7	448	36	the	the	DET
cord-186927-b8i85vo7	448	37	government	government	NOUN
cord-186927-b8i85vo7	448	38	.	.	PUNCT
cord-186927-b8i85vo7	449	1	contract	contract	NOUN
cord-186927-b8i85vo7	449	2	case	case	NOUN
cord-186927-b8i85vo7	449	3	benchmark	benchmark	PROPN
cord-186927-b8i85vo7	449	4	case	case	NOUN
cord-186927-b8i85vo7	449	5	figure	figure	NOUN
cord-186927-b8i85vo7	449	6	11	11	NUM
cord-186927-b8i85vo7	449	7	:	:	SYM
cord-186927-b8i85vo7	449	8	500	500	NUM
cord-186927-b8i85vo7	449	9	simulations	simulation	NOUN
cord-186927-b8i85vo7	449	10	of	of	ADP
cord-186927-b8i85vo7	449	11	the	the	DET
cord-186927-b8i85vo7	449	12	proportion	proportion	NOUN
cord-186927-b8i85vo7	449	13	i	i	PRON
cord-186927-b8i85vo7	449	14	of	of	ADP
cord-186927-b8i85vo7	449	15	infected	infected	ADJ
cord-186927-b8i85vo7	449	16	in	in	ADP
cord-186927-b8i85vo7	449	17	the	the	DET
cord-186927-b8i85vo7	449	18	sir	sir	PROPN
cord-186927-b8i85vo7	449	19	model	model	NOUN
cord-186927-b8i85vo7	449	20	comparison	comparison	NOUN
cord-186927-b8i85vo7	449	21	between	between	ADP
cord-186927-b8i85vo7	449	22	the	the	DET
cord-186927-b8i85vo7	449	23	case	case	NOUN
cord-186927-b8i85vo7	449	24	with	with	ADP
cord-186927-b8i85vo7	449	25	tax	tax	NOUN
cord-186927-b8i85vo7	449	26	policy	policy	NOUN
cord-186927-b8i85vo7	449	27	(	(	PUNCT
cord-186927-b8i85vo7	449	28	but	but	CCONJ
cord-186927-b8i85vo7	449	29	without	without	ADP
cord-186927-b8i85vo7	449	30	testing	testing	NOUN
cord-186927-b8i85vo7	449	31	)	)	PUNCT
cord-186927-b8i85vo7	449	32	on	on	ADP
cord-186927-b8i85vo7	449	33	the	the	DET
cord-186927-b8i85vo7	449	34	left	left	NOUN
cord-186927-b8i85vo7	449	35	and	and	CCONJ
cord-186927-b8i85vo7	449	36	the	the	DET
cord-186927-b8i85vo7	449	37	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	449	38	case	case	NOUN
cord-186927-b8i85vo7	449	39	on	on	ADP
cord-186927-b8i85vo7	449	40	the	the	DET
cord-186927-b8i85vo7	449	41	right	right	NOUN
cord-186927-b8i85vo7	449	42	.	.	PUNCT
cord-186927-b8i85vo7	450	1	in	in	ADP
cord-186927-b8i85vo7	450	2	this	this	DET
cord-186927-b8i85vo7	450	3	section	section	NOUN
cord-186927-b8i85vo7	450	4	,	,	PUNCT
cord-186927-b8i85vo7	450	5	we	we	PRON
cord-186927-b8i85vo7	450	6	now	now	ADV
cord-186927-b8i85vo7	450	7	study	study	VERB
cord-186927-b8i85vo7	450	8	the	the	DET
cord-186927-b8i85vo7	450	9	case	case	NOUN
cord-186927-b8i85vo7	450	10	where	where	SCONJ
cord-186927-b8i85vo7	450	11	the	the	DET
cord-186927-b8i85vo7	450	12	government	government	NOUN
cord-186927-b8i85vo7	450	13	can	can	AUX
cord-186927-b8i85vo7	450	14	implement	implement	VERB
cord-186927-b8i85vo7	450	15	an	an	DET
cord-186927-b8i85vo7	450	16	active	active	ADJ
cord-186927-b8i85vo7	450	17	testing	testing	NOUN
cord-186927-b8i85vo7	450	18	policy	policy	NOUN
cord-186927-b8i85vo7	450	19	,	,	PUNCT
cord-186927-b8i85vo7	450	20	in	in	ADP
cord-186927-b8i85vo7	450	21	addition	addition	NOUN
cord-186927-b8i85vo7	450	22	to	to	ADP
cord-186927-b8i85vo7	450	23	the	the	DET
cord-186927-b8i85vo7	450	24	incentive	incentive	NOUN
cord-186927-b8i85vo7	450	25	policy	policy	NOUN
cord-186927-b8i85vo7	450	26	for	for	ADP
cord-186927-b8i85vo7	450	27	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	450	28	,	,	PUNCT
cord-186927-b8i85vo7	450	29	to	to	PART
cord-186927-b8i85vo7	450	30	contain	contain	VERB
cord-186927-b8i85vo7	450	31	the	the	DET
cord-186927-b8i85vo7	450	32	spread	spread	NOUN
cord-186927-b8i85vo7	450	33	of	of	ADP
cord-186927-b8i85vo7	450	34	the	the	DET
cord-186927-b8i85vo7	450	35	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	450	36	.	.	PUNCT
cord-186927-b8i85vo7	451	1	this	this	DET
cord-186927-b8i85vo7	451	2	policy	policy	NOUN
cord-186927-b8i85vo7	451	3	is	be	AUX
cord-186927-b8i85vo7	451	4	similar	similar	ADJ
cord-186927-b8i85vo7	451	5	to	to	ADP
cord-186927-b8i85vo7	451	6	the	the	DET
cord-186927-b8i85vo7	451	7	one	one	NOUN
cord-186927-b8i85vo7	451	8	adopted	adopt	VERB
cord-186927-b8i85vo7	451	9	by	by	ADP
cord-186927-b8i85vo7	451	10	most	most	ADJ
cord-186927-b8i85vo7	451	11	european	european	ADJ
cord-186927-b8i85vo7	451	12	governments	government	NOUN
cord-186927-b8i85vo7	451	13	in	in	ADP
cord-186927-b8i85vo7	451	14	june	june	PROPN
cord-186927-b8i85vo7	451	15	2020	2020	NUM
cord-186927-b8i85vo7	451	16	,	,	PUNCT
cord-186927-b8i85vo7	451	17	after	after	ADP
cord-186927-b8i85vo7	451	18	relatively	relatively	ADV
cord-186927-b8i85vo7	451	19	strict	strict	ADJ
cord-186927-b8i85vo7	451	20	containment	containment	NOUN
cord-186927-b8i85vo7	451	21	periods	period	NOUN
cord-186927-b8i85vo7	451	22	and	and	CCONJ
cord-186927-b8i85vo7	451	23	at	at	ADP
cord-186927-b8i85vo7	451	24	a	a	DET
cord-186927-b8i85vo7	451	25	time	time	NOUN
cord-186927-b8i85vo7	451	26	when	when	SCONJ
cord-186927-b8i85vo7	451	27	the	the	DET
cord-186927-b8i85vo7	451	28	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	451	29	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	451	30	seemed	seem	VERB
cord-186927-b8i85vo7	451	31	to	to	PART
cord-186927-b8i85vo7	451	32	be	be	AUX
cord-186927-b8i85vo7	451	33	under	under	ADP
cord-186927-b8i85vo7	451	34	control	control	NOUN
cord-186927-b8i85vo7	451	35	.	.	PUNCT
cord-186927-b8i85vo7	452	1	indeed	indeed	ADV
cord-186927-b8i85vo7	452	2	,	,	PUNCT
cord-186927-b8i85vo7	452	3	the	the	DET
cord-186927-b8i85vo7	452	4	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	452	5	periods	period	NOUN
cord-186927-b8i85vo7	452	6	in	in	ADP
cord-186927-b8i85vo7	452	7	europe	europe	PROPN
cord-186927-b8i85vo7	452	8	have	have	AUX
cord-186927-b8i85vo7	452	9	generally	generally	ADV
cord-186927-b8i85vo7	452	10	made	make	VERB
cord-186927-b8i85vo7	452	11	it	it	PRON
cord-186927-b8i85vo7	452	12	possible	possible	ADJ
cord-186927-b8i85vo7	452	13	to	to	PART
cord-186927-b8i85vo7	452	14	delay	delay	VERB
cord-186927-b8i85vo7	452	15	the	the	DET
cord-186927-b8i85vo7	452	16	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	452	17	,	,	PUNCT
cord-186927-b8i85vo7	452	18	and	and	CCONJ
cord-186927-b8i85vo7	452	19	thus	thus	ADV
cord-186927-b8i85vo7	452	20	to	to	PART
cord-186927-b8i85vo7	452	21	give	give	VERB
cord-186927-b8i85vo7	452	22	public	public	ADJ
cord-186927-b8i85vo7	452	23	authorities	authority	NOUN
cord-186927-b8i85vo7	452	24	time	time	NOUN
cord-186927-b8i85vo7	452	25	to	to	PART
cord-186927-b8i85vo7	452	26	prepare	prepare	VERB
cord-186927-b8i85vo7	452	27	a	a	DET
cord-186927-b8i85vo7	452	28	meaningful	meaningful	ADJ
cord-186927-b8i85vo7	452	29	testing	testing	NOUN
cord-186927-b8i85vo7	452	30	policy	policy	NOUN
cord-186927-b8i85vo7	452	31	by	by	ADP
cord-186927-b8i85vo7	452	32	developing	develop	VERB
cord-186927-b8i85vo7	452	33	and	and	CCONJ
cord-186927-b8i85vo7	452	34	increasing	increase	VERB
cord-186927-b8i85vo7	452	35	the	the	DET
cord-186927-b8i85vo7	452	36	number	number	NOUN
cord-186927-b8i85vo7	452	37	of	of	ADP
cord-186927-b8i85vo7	452	38	available	available	ADJ
cord-186927-b8i85vo7	452	39	tests	test	NOUN
cord-186927-b8i85vo7	452	40	.	.	PUNCT
cord-186927-b8i85vo7	453	1	this	this	DET
cord-186927-b8i85vo7	453	2	testing	testing	NOUN
cord-186927-b8i85vo7	453	3	policy	policy	NOUN
cord-186927-b8i85vo7	453	4	has	have	VERB
cord-186927-b8i85vo7	453	5	two	two	NUM
cord-186927-b8i85vo7	453	6	major	major	ADJ
cord-186927-b8i85vo7	453	7	interests	interest	NOUN
cord-186927-b8i85vo7	453	8	.	.	PUNCT
cord-186927-b8i85vo7	454	1	first	first	ADV
cord-186927-b8i85vo7	454	2	,	,	PUNCT
cord-186927-b8i85vo7	454	3	it	it	PRON
cord-186927-b8i85vo7	454	4	allows	allow	VERB
cord-186927-b8i85vo7	454	5	the	the	DET
cord-186927-b8i85vo7	454	6	identification	identification	NOUN
cord-186927-b8i85vo7	454	7	of	of	ADP
cord-186927-b8i85vo7	454	8	clusters	cluster	NOUN
cord-186927-b8i85vo7	454	9	,	,	PUNCT
cord-186927-b8i85vo7	454	10	and	and	CCONJ
cord-186927-b8i85vo7	454	11	therefore	therefore	ADV
cord-186927-b8i85vo7	454	12	provides	provide	VERB
cord-186927-b8i85vo7	454	13	a	a	DET
cord-186927-b8i85vo7	454	14	more	more	ADV
cord-186927-b8i85vo7	454	15	precise	precise	ADJ
cord-186927-b8i85vo7	454	16	knowledge	knowledge	NOUN
cord-186927-b8i85vo7	454	17	of	of	ADP
cord-186927-b8i85vo7	454	18	the	the	DET
cord-186927-b8i85vo7	454	19	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	454	20	of	of	ADP
cord-186927-b8i85vo7	454	21	the	the	DET
cord-186927-b8i85vo7	454	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	454	23	in	in	ADP
cord-186927-b8i85vo7	454	24	real	real	ADJ
cord-186927-b8i85vo7	454	25	time	time	NOUN
cord-186927-b8i85vo7	454	26	on	on	ADP
cord-186927-b8i85vo7	454	27	the	the	DET
cord-186927-b8i85vo7	454	28	different	different	ADJ
cord-186927-b8i85vo7	454	29	territories	territory	NOUN
cord-186927-b8i85vo7	454	30	.	.	PUNCT
cord-186927-b8i85vo7	455	1	second	second	ADV
cord-186927-b8i85vo7	455	2	,	,	PUNCT
cord-186927-b8i85vo7	455	3	by	by	ADP
cord-186927-b8i85vo7	455	4	identifying	identify	VERB
cord-186927-b8i85vo7	455	5	infected	infect	VERB
cord-186927-b8i85vo7	455	6	people	people	NOUN
cord-186927-b8i85vo7	455	7	,	,	PUNCT
cord-186927-b8i85vo7	455	8	we	we	PRON
cord-186927-b8i85vo7	455	9	can	can	AUX
cord-186927-b8i85vo7	455	10	force	force	VERB
cord-186927-b8i85vo7	455	11	them	they	PRON
cord-186927-b8i85vo7	455	12	to	to	PART
cord-186927-b8i85vo7	455	13	remain	remain	VERB
cord-186927-b8i85vo7	455	14	isolated	isolated	ADJ
cord-186927-b8i85vo7	455	15	,	,	PUNCT
cord-186927-b8i85vo7	455	16	in	in	ADP
cord-186927-b8i85vo7	455	17	order	order	NOUN
cord-186927-b8i85vo7	455	18	to	to	PART
cord-186927-b8i85vo7	455	19	avoid	avoid	VERB
cord-186927-b8i85vo7	455	20	the	the	DET
cord-186927-b8i85vo7	455	21	contamination	contamination	NOUN
cord-186927-b8i85vo7	455	22	of	of	ADP
cord-186927-b8i85vo7	455	23	their	their	PRON
cord-186927-b8i85vo7	455	24	relatives	relative	NOUN
cord-186927-b8i85vo7	455	25	.	.	PUNCT
cord-186927-b8i85vo7	456	1	this	this	DET
cord-186927-b8i85vo7	456	2	policy	policy	NOUN
cord-186927-b8i85vo7	456	3	therefore	therefore	ADV
cord-186927-b8i85vo7	456	4	constitutes	constitute	VERB
cord-186927-b8i85vo7	456	5	another	another	DET
cord-186927-b8i85vo7	456	6	leverage	leverage	NOUN
cord-186927-b8i85vo7	456	7	,	,	PUNCT
cord-186927-b8i85vo7	456	8	in	in	ADP
cord-186927-b8i85vo7	456	9	addition	addition	NOUN
cord-186927-b8i85vo7	456	10	to	to	ADP
cord-186927-b8i85vo7	456	11	containment	containment	NOUN
cord-186927-b8i85vo7	456	12	,	,	PUNCT
cord-186927-b8i85vo7	456	13	to	to	PART
cord-186927-b8i85vo7	456	14	reduce	reduce	VERB
cord-186927-b8i85vo7	456	15	the	the	DET
cord-186927-b8i85vo7	456	16	contact	contact	NOUN
cord-186927-b8i85vo7	456	17	rate	rate	NOUN
cord-186927-b8i85vo7	456	18	within	within	ADP
cord-186927-b8i85vo7	456	19	the	the	DET
cord-186927-b8i85vo7	456	20	population	population	NOUN
cord-186927-b8i85vo7	456	21	.	.	PUNCT
cord-186927-b8i85vo7	457	1	thus	thus	ADV
cord-186927-b8i85vo7	457	2	,	,	PUNCT
cord-186927-b8i85vo7	457	3	by	by	ADP
cord-186927-b8i85vo7	457	4	developing	develop	VERB
cord-186927-b8i85vo7	457	5	a	a	DET
cord-186927-b8i85vo7	457	6	robust	robust	ADJ
cord-186927-b8i85vo7	457	7	testing	testing	NOUN
cord-186927-b8i85vo7	457	8	policy	policy	NOUN
cord-186927-b8i85vo7	457	9	,	,	PUNCT
cord-186927-b8i85vo7	457	10	public	public	ADJ
cord-186927-b8i85vo7	457	11	authorities	authority	NOUN
cord-186927-b8i85vo7	457	12	can	can	AUX
cord-186927-b8i85vo7	457	13	in	in	ADP
cord-186927-b8i85vo7	457	14	fact	fact	NOUN
cord-186927-b8i85vo7	457	15	relax	relax	VERB
cord-186927-b8i85vo7	457	16	the	the	DET
cord-186927-b8i85vo7	457	17	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	457	18	while	while	SCONJ
cord-186927-b8i85vo7	457	19	keeping	keep	VERB
cord-186927-b8i85vo7	457	20	the	the	DET
cord-186927-b8i85vo7	457	21	rate	rate	NOUN
cord-186927-b8i85vo7	457	22	of	of	ADP
cord-186927-b8i85vo7	457	23	disease	disease	NOUN
cord-186927-b8i85vo7	457	24	transmission	transmission	NOUN
cord-186927-b8i85vo7	457	25	at	at	ADP
cord-186927-b8i85vo7	457	26	a	a	DET
cord-186927-b8i85vo7	457	27	sufficiently	sufficiently	ADV
cord-186927-b8i85vo7	457	28	low	low	ADJ
cord-186927-b8i85vo7	457	29	level	level	NOUN
cord-186927-b8i85vo7	457	30	.	.	PUNCT
cord-186927-b8i85vo7	458	1	therefore	therefore	ADV
cord-186927-b8i85vo7	458	2	,	,	PUNCT
cord-186927-b8i85vo7	458	3	comparing	compare	VERB
cord-186927-b8i85vo7	458	4	with	with	ADP
cord-186927-b8i85vo7	458	5	the	the	DET
cord-186927-b8i85vo7	458	6	no	no	DET
cord-186927-b8i85vo7	458	7	-	-	PUNCT
cord-186927-b8i85vo7	458	8	testing	testing	NOUN
cord-186927-b8i85vo7	458	9	policy	policy	NOUN
cord-186927-b8i85vo7	458	10	case	case	NOUN
cord-186927-b8i85vo7	458	11	,	,	PUNCT
cord-186927-b8i85vo7	458	12	we	we	PRON
cord-186927-b8i85vo7	458	13	expect	expect	VERB
cord-186927-b8i85vo7	458	14	that	that	SCONJ
cord-186927-b8i85vo7	458	15	(	(	PUNCT
cord-186927-b8i85vo7	458	16	i	i	NOUN
cord-186927-b8i85vo7	458	17	)	)	PUNCT
cord-186927-b8i85vo7	458	18	the	the	DET
cord-186927-b8i85vo7	458	19	government	government	NOUN
cord-186927-b8i85vo7	458	20	will	will	AUX
cord-186927-b8i85vo7	458	21	be	be	AUX
cord-186927-b8i85vo7	458	22	able	able	ADJ
cord-186927-b8i85vo7	458	23	to	to	PART
cord-186927-b8i85vo7	458	24	control	control	VERB
cord-186927-b8i85vo7	458	25	the	the	DET
cord-186927-b8i85vo7	458	26	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	458	27	at	at	ADP
cord-186927-b8i85vo7	458	28	least	least	ADJ
cord-186927-b8i85vo7	458	29	as	as	ADV
cord-186927-b8i85vo7	458	30	well	well	ADV
cord-186927-b8i85vo7	458	31	as	as	ADP
cord-186927-b8i85vo7	458	32	with	with	ADP
cord-186927-b8i85vo7	458	33	just	just	ADV
cord-186927-b8i85vo7	458	34	the	the	DET
cord-186927-b8i85vo7	458	35	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	458	36	policy	policy	NOUN
cord-186927-b8i85vo7	458	37	;	;	PUNCT
cord-186927-b8i85vo7	458	38	(	(	PUNCT
cord-186927-b8i85vo7	458	39	ii	ii	PROPN
cord-186927-b8i85vo7	458	40	)	)	PUNCT
cord-186927-b8i85vo7	458	41	it	it	PRON
cord-186927-b8i85vo7	458	42	will	will	AUX
cord-186927-b8i85vo7	458	43	allow	allow	VERB
cord-186927-b8i85vo7	458	44	the	the	DET
cord-186927-b8i85vo7	458	45	population	population	NOUN
cord-186927-b8i85vo7	458	46	to	to	PART
cord-186927-b8i85vo7	458	47	regain	regain	VERB
cord-186927-b8i85vo7	458	48	a	a	DET
cord-186927-b8i85vo7	458	49	contact	contact	NOUN
cord-186927-b8i85vo7	458	50	rate	rate	NOUN
cord-186927-b8i85vo7	458	51	closer	close	ADJ
cord-186927-b8i85vo7	458	52	to	to	ADP
cord-186927-b8i85vo7	458	53	the	the	DET
cord-186927-b8i85vo7	458	54	desired	desire	VERB
cord-186927-b8i85vo7	458	55	and	and	CCONJ
cord-186927-b8i85vo7	458	56	initial	initial	ADJ
cord-186927-b8i85vo7	458	57	level	level	NOUN
cord-186927-b8i85vo7	458	58	β	β	NOUN
cord-186927-b8i85vo7	458	59	.	.	PUNCT
cord-186927-b8i85vo7	459	1	to	to	PART
cord-186927-b8i85vo7	459	2	study	study	VERB
cord-186927-b8i85vo7	459	3	the	the	DET
cord-186927-b8i85vo7	459	4	optimal	optimal	ADJ
cord-186927-b8i85vo7	459	5	testing	testing	NOUN
cord-186927-b8i85vo7	459	6	policy	policy	NOUN
cord-186927-b8i85vo7	459	7	α	α	NOUN
cord-186927-b8i85vo7	459	8	,	,	PUNCT
cord-186927-b8i85vo7	459	9	taking	take	VERB
cord-186927-b8i85vo7	459	10	values	value	NOUN
cord-186927-b8i85vo7	459	11	in	in	ADP
cord-186927-b8i85vo7	459	12	a	a	DET
cord-186927-b8i85vo7	459	13	:	:	PUNCT
cord-186927-b8i85vo7	459	14	=	=	NOUN
cord-186927-b8i85vo7	459	15	[	[	X
cord-186927-b8i85vo7	459	16	ε	ε	NOUN
cord-186927-b8i85vo7	459	17	,	,	PUNCT
cord-186927-b8i85vo7	459	18	1	1	NUM
cord-186927-b8i85vo7	459	19	]	]	PUNCT
cord-186927-b8i85vo7	459	20	,	,	PUNCT
cord-186927-b8i85vo7	459	21	we	we	PRON
cord-186927-b8i85vo7	459	22	consider	consider	VERB
cord-186927-b8i85vo7	459	23	the	the	DET
cord-186927-b8i85vo7	459	24	cost	cost	NOUN
cord-186927-b8i85vo7	459	25	of	of	ADP
cord-186927-b8i85vo7	459	26	effort	effort	NOUN
cord-186927-b8i85vo7	459	27	k	k	X
cord-186927-b8i85vo7	459	28	given	give	VERB
cord-186927-b8i85vo7	459	29	by	by	ADP
cord-186927-b8i85vo7	459	30	(	(	PUNCT
cord-186927-b8i85vo7	459	31	3.1b	3.1b	NUM
cord-186927-b8i85vo7	459	32	)	)	PUNCT
cord-186927-b8i85vo7	459	33	.	.	PUNCT
cord-186927-b8i85vo7	460	1	this	this	DET
cord-186927-b8i85vo7	460	2	cost	cost	NOUN
cord-186927-b8i85vo7	460	3	function	function	NOUN
cord-186927-b8i85vo7	460	4	emphasises	emphasise	VERB
cord-186927-b8i85vo7	460	5	the	the	DET
cord-186927-b8i85vo7	460	6	fact	fact	NOUN
cord-186927-b8i85vo7	460	7	that	that	SCONJ
cord-186927-b8i85vo7	460	8	testing	test	VERB
cord-186927-b8i85vo7	460	9	the	the	DET
cord-186927-b8i85vo7	460	10	entire	entire	ADJ
cord-186927-b8i85vo7	460	11	population	population	NOUN
cord-186927-b8i85vo7	460	12	every	every	DET
cord-186927-b8i85vo7	460	13	day	day	NOUN
cord-186927-b8i85vo7	460	14	is	be	AUX
cord-186927-b8i85vo7	460	15	inconceivable	inconceivable	ADJ
cord-186927-b8i85vo7	460	16	,	,	PUNCT
cord-186927-b8i85vo7	460	17	and	and	CCONJ
cord-186927-b8i85vo7	460	18	therefore	therefore	ADV
cord-186927-b8i85vo7	460	19	results	result	VERB
cord-186927-b8i85vo7	460	20	in	in	ADP
cord-186927-b8i85vo7	460	21	an	an	DET
cord-186927-b8i85vo7	460	22	explosion	explosion	NOUN
cord-186927-b8i85vo7	460	23	of	of	ADP
cord-186927-b8i85vo7	460	24	cost	cost	NOUN
cord-186927-b8i85vo7	460	25	when	when	SCONJ
cord-186927-b8i85vo7	460	26	α	α	PRON
cord-186927-b8i85vo7	460	27	takes	take	VERB
cord-186927-b8i85vo7	460	28	values	value	NOUN
cord-186927-b8i85vo7	460	29	close	close	ADJ
cord-186927-b8i85vo7	460	30	to	to	ADP
cord-186927-b8i85vo7	460	31	0	0	NUM
cord-186927-b8i85vo7	460	32	.	.	PUNCT
cord-186927-b8i85vo7	461	1	recall	recall	VERB
cord-186927-b8i85vo7	461	2	that	that	SCONJ
cord-186927-b8i85vo7	461	3	the	the	DET
cord-186927-b8i85vo7	461	4	parameters	parameter	NOUN
cord-186927-b8i85vo7	461	5	for	for	ADP
cord-186927-b8i85vo7	461	6	the	the	DET
cord-186927-b8i85vo7	461	7	function	function	NOUN
cord-186927-b8i85vo7	461	8	k	k	PROPN
cord-186927-b8i85vo7	461	9	,	,	PUNCT
cord-186927-b8i85vo7	461	10	namely	namely	ADV
cord-186927-b8i85vo7	461	11	κ	κ	PROPN
cord-186927-b8i85vo7	461	12	g	g	NOUN
cord-186927-b8i85vo7	461	13	and	and	CCONJ
cord-186927-b8i85vo7	461	14	η	η	NOUN
cord-186927-b8i85vo7	461	15	g	g	NOUN
cord-186927-b8i85vo7	461	16	are	be	AUX
cord-186927-b8i85vo7	461	17	given	give	VERB
cord-186927-b8i85vo7	461	18	in	in	ADP
cord-186927-b8i85vo7	461	19	table	table	NOUN
cord-186927-b8i85vo7	461	20	1b	1b	NUM
cord-186927-b8i85vo7	461	21	.	.	PUNCT
cord-186927-b8i85vo7	462	1	finally	finally	ADV
cord-186927-b8i85vo7	462	2	,	,	PUNCT
cord-186927-b8i85vo7	462	3	a	a	PRON
cord-186927-b8i85vo7	462	4	is	be	AUX
cord-186927-b8i85vo7	462	5	discretised	discretise	VERB
cord-186927-b8i85vo7	462	6	with	with	ADP
cord-186927-b8i85vo7	462	7	a	a	DET
cord-186927-b8i85vo7	462	8	step	step	NOUN
cord-186927-b8i85vo7	462	9	equal	equal	ADJ
cord-186927-b8i85vo7	462	10	to	to	ADP
cord-186927-b8i85vo7	462	11	0.05	0.05	NUM
cord-186927-b8i85vo7	462	12	and	and	CCONJ
cord-186927-b8i85vo7	462	13	we	we	PRON
cord-186927-b8i85vo7	462	14	consider	consider	VERB
cord-186927-b8i85vo7	462	15	z	z	PROPN
cord-186927-b8i85vo7	462	16	max	max	PROPN
cord-186927-b8i85vo7	462	17	=	=	PROPN
cord-186927-b8i85vo7	462	18	30	30	NUM
cord-186927-b8i85vo7	462	19	.	.	PUNCT
cord-186927-b8i85vo7	463	1	as	as	SCONJ
cord-186927-b8i85vo7	463	2	we	we	PRON
cord-186927-b8i85vo7	463	3	can	can	AUX
cord-186927-b8i85vo7	463	4	see	see	VERB
cord-186927-b8i85vo7	463	5	from	from	ADP
cord-186927-b8i85vo7	463	6	the	the	DET
cord-186927-b8i85vo7	463	7	six	six	NUM
cord-186927-b8i85vo7	463	8	selected	select	VERB
cord-186927-b8i85vo7	463	9	simulations	simulation	NOUN
cord-186927-b8i85vo7	463	10	below	below	ADV
cord-186927-b8i85vo7	463	11	,	,	PUNCT
cord-186927-b8i85vo7	463	12	the	the	DET
cord-186927-b8i85vo7	463	13	control	control	NOUN
cord-186927-b8i85vo7	463	14	z	z	PROPN
cord-186927-b8i85vo7	463	15	is	be	AUX
cord-186927-b8i85vo7	463	16	very	very	ADV
cord-186927-b8i85vo7	463	17	regular	regular	ADJ
cord-186927-b8i85vo7	463	18	(	(	PUNCT
cord-186927-b8i85vo7	463	19	see	see	VERB
cord-186927-b8i85vo7	463	20	figure	figure	NOUN
cord-186927-b8i85vo7	463	21	12	12	NUM
cord-186927-b8i85vo7	463	22	)	)	PUNCT
cord-186927-b8i85vo7	463	23	,	,	PUNCT
cord-186927-b8i85vo7	463	24	while	while	SCONJ
cord-186927-b8i85vo7	463	25	the	the	DET
cord-186927-b8i85vo7	463	26	control	control	NOUN
cord-186927-b8i85vo7	463	27	α	α	PROPN
cord-186927-b8i85vo7	463	28	is	be	AUX
cord-186927-b8i85vo7	463	29	less	less	ADV
cord-186927-b8i85vo7	463	30	regular	regular	ADJ
cord-186927-b8i85vo7	463	31	and	and	CCONJ
cord-186927-b8i85vo7	463	32	concentrated	concentrate	VERB
cord-186927-b8i85vo7	463	33	at	at	ADP
cord-186927-b8i85vo7	463	34	the	the	DET
cord-186927-b8i85vo7	463	35	heart	heart	NOUN
cord-186927-b8i85vo7	463	36	of	of	ADP
cord-186927-b8i85vo7	463	37	the	the	DET
cord-186927-b8i85vo7	463	38	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	463	39	(	(	PUNCT
cord-186927-b8i85vo7	463	40	see	see	VERB
cord-186927-b8i85vo7	463	41	figure	figure	NOUN
cord-186927-b8i85vo7	463	42	13	13	NUM
cord-186927-b8i85vo7	463	43	)	)	PUNCT
cord-186927-b8i85vo7	463	44	.	.	PUNCT
cord-186927-b8i85vo7	464	1	figure	figure	NOUN
cord-186927-b8i85vo7	464	2	16	16	NUM
cord-186927-b8i85vo7	464	3	gives	give	VERB
cord-186927-b8i85vo7	464	4	a	a	DET
cord-186927-b8i85vo7	464	5	global	global	ADJ
cord-186927-b8i85vo7	464	6	overview	overview	NOUN
cord-186927-b8i85vo7	464	7	of	of	ADP
cord-186927-b8i85vo7	464	8	the	the	DET
cord-186927-b8i85vo7	464	9	500	500	NUM
cord-186927-b8i85vo7	464	10	simulations	simulation	NOUN
cord-186927-b8i85vo7	464	11	,	,	PUNCT
cord-186927-b8i85vo7	464	12	which	which	PRON
cord-186927-b8i85vo7	464	13	confirms	confirm	VERB
cord-186927-b8i85vo7	464	14	the	the	DET
cord-186927-b8i85vo7	464	15	intuition	intuition	NOUN
cord-186927-b8i85vo7	464	16	given	give	VERB
cord-186927-b8i85vo7	464	17	by	by	ADP
cord-186927-b8i85vo7	464	18	the	the	DET
cord-186927-b8i85vo7	464	19	six	six	NUM
cord-186927-b8i85vo7	464	20	selected	select	VERB
cord-186927-b8i85vo7	464	21	ones	one	NOUN
cord-186927-b8i85vo7	464	22	.	.	PUNCT
cord-186927-b8i85vo7	465	1	comparison	comparison	NOUN
cord-186927-b8i85vo7	465	2	between	between	ADP
cord-186927-b8i85vo7	465	3	the	the	DET
cord-186927-b8i85vo7	465	4	three	three	NUM
cord-186927-b8i85vo7	465	5	cases	case	NOUN
cord-186927-b8i85vo7	465	6	,	,	PUNCT
cord-186927-b8i85vo7	465	7	the	the	DET
cord-186927-b8i85vo7	465	8	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	465	9	,	,	PUNCT
cord-186927-b8i85vo7	465	10	with	with	ADP
cord-186927-b8i85vo7	465	11	,	,	PUNCT
cord-186927-b8i85vo7	465	12	and	and	CCONJ
cord-186927-b8i85vo7	465	13	without	without	ADP
cord-186927-b8i85vo7	465	14	testing	testing	NOUN
cord-186927-b8i85vo7	465	15	.	.	PUNCT
cord-186927-b8i85vo7	466	1	relaxed	relaxed	ADJ
cord-186927-b8i85vo7	466	2	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	466	3	but	but	CCONJ
cord-186927-b8i85vo7	466	4	lower	low	ADJ
cord-186927-b8i85vo7	466	5	effective	effective	ADJ
cord-186927-b8i85vo7	466	6	transmission	transmission	NOUN
cord-186927-b8i85vo7	466	7	rate	rate	NOUN
cord-186927-b8i85vo7	466	8	.	.	PUNCT
cord-186927-b8i85vo7	467	1	first	first	ADV
cord-186927-b8i85vo7	467	2	,	,	PUNCT
cord-186927-b8i85vo7	467	3	comparing	compare	VERB
cord-186927-b8i85vo7	467	4	figures	figure	NOUN
cord-186927-b8i85vo7	467	5	8	8	NUM
cord-186927-b8i85vo7	467	6	and	and	CCONJ
cord-186927-b8i85vo7	467	7	12	12	NUM
cord-186927-b8i85vo7	467	8	,	,	PUNCT
cord-186927-b8i85vo7	467	9	the	the	DET
cord-186927-b8i85vo7	467	10	optimal	optimal	ADJ
cord-186927-b8i85vo7	467	11	control	control	NOUN
cord-186927-b8i85vo7	467	12	z	z	NOUN
cord-186927-b8i85vo7	467	13	presents	present	VERB
cord-186927-b8i85vo7	467	14	the	the	DET
cord-186927-b8i85vo7	467	15	same	same	ADJ
cord-186927-b8i85vo7	467	16	shape	shape	NOUN
cord-186927-b8i85vo7	467	17	in	in	ADP
cord-186927-b8i85vo7	467	18	both	both	DET
cord-186927-b8i85vo7	467	19	cases	case	NOUN
cord-186927-b8i85vo7	467	20	,	,	PUNCT
cord-186927-b8i85vo7	467	21	except	except	SCONJ
cord-186927-b8i85vo7	467	22	at	at	ADP
cord-186927-b8i85vo7	467	23	the	the	DET
cord-186927-b8i85vo7	467	24	beginning	beginning	NOUN
cord-186927-b8i85vo7	467	25	,	,	PUNCT
cord-186927-b8i85vo7	467	26	since	since	SCONJ
cord-186927-b8i85vo7	467	27	now	now	ADV
cord-186927-b8i85vo7	467	28	z	z	NOUN
cord-186927-b8i85vo7	467	29	is	be	AUX
cord-186927-b8i85vo7	467	30	not	not	PART
cord-186927-b8i85vo7	467	31	negative	negative	ADJ
cord-186927-b8i85vo7	467	32	initially	initially	ADV
cord-186927-b8i85vo7	467	33	.	.	PUNCT
cord-186927-b8i85vo7	468	1	in	in	ADP
cord-186927-b8i85vo7	468	2	fact	fact	NOUN
cord-186927-b8i85vo7	468	3	,	,	PUNCT
cord-186927-b8i85vo7	468	4	in	in	ADP
cord-186927-b8i85vo7	468	5	this	this	DET
cord-186927-b8i85vo7	468	6	case	case	NOUN
cord-186927-b8i85vo7	468	7	,	,	PUNCT
cord-186927-b8i85vo7	468	8	we	we	PRON
cord-186927-b8i85vo7	468	9	observe	observe	VERB
cord-186927-b8i85vo7	468	10	that	that	SCONJ
cord-186927-b8i85vo7	468	11	the	the	DET
cord-186927-b8i85vo7	468	12	government	government	NOUN
cord-186927-b8i85vo7	468	13	is	be	AUX
cord-186927-b8i85vo7	468	14	asking	ask	VERB
cord-186927-b8i85vo7	468	15	for	for	ADP
cord-186927-b8i85vo7	468	16	less	less	ADJ
cord-186927-b8i85vo7	468	17	effort	effort	NOUN
cord-186927-b8i85vo7	468	18	from	from	ADP
cord-186927-b8i85vo7	468	19	the	the	DET
cord-186927-b8i85vo7	468	20	population	population	NOUN
cord-186927-b8i85vo7	468	21	,	,	PUNCT
cord-186927-b8i85vo7	468	22	and	and	CCONJ
cord-186927-b8i85vo7	468	23	therefore	therefore	ADV
cord-186927-b8i85vo7	468	24	the	the	DET
cord-186927-b8i85vo7	468	25	initial	initial	ADJ
cord-186927-b8i85vo7	468	26	stimulus	stimulus	NOUN
cord-186927-b8i85vo7	468	27	mentioned	mention	VERB
cord-186927-b8i85vo7	468	28	in	in	ADP
cord-186927-b8i85vo7	468	29	the	the	DET
cord-186927-b8i85vo7	468	30	paragraph	paragraph	NOUN
cord-186927-b8i85vo7	468	31	'	'	PUNCT
cord-186927-b8i85vo7	468	32	policy	policy	NOUN
cord-186927-b8i85vo7	468	33	implications	implication	NOUN
cord-186927-b8i85vo7	468	34	'	'	PART
cord-186927-b8i85vo7	468	35	still	still	ADV
cord-186927-b8i85vo7	468	36	happens	happen	VERB
cord-186927-b8i85vo7	468	37	,	,	PUNCT
cord-186927-b8i85vo7	468	38	but	but	CCONJ
cord-186927-b8i85vo7	468	39	later	later	ADV
cord-186927-b8i85vo7	468	40	and	and	CCONJ
cord-186927-b8i85vo7	468	41	for	for	ADP
cord-186927-b8i85vo7	468	42	a	a	DET
cord-186927-b8i85vo7	468	43	much	much	ADV
cord-186927-b8i85vo7	468	44	shorter	short	ADJ
cord-186927-b8i85vo7	468	45	length	length	NOUN
cord-186927-b8i85vo7	468	46	.	.	PUNCT
cord-186927-b8i85vo7	469	1	figure	figure	NOUN
cord-186927-b8i85vo7	469	2	15	15	NUM
cord-186927-b8i85vo7	469	3	also	also	ADV
cord-186927-b8i85vo7	469	4	shows	show	VERB
cord-186927-b8i85vo7	469	5	that	that	SCONJ
cord-186927-b8i85vo7	469	6	the	the	DET
cord-186927-b8i85vo7	469	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	469	8	contact	contact	NOUN
cord-186927-b8i85vo7	469	9	rate	rate	NOUN
cord-186927-b8i85vo7	469	10	is	be	AUX
cord-186927-b8i85vo7	469	11	closer	close	ADJ
cord-186927-b8i85vo7	469	12	to	to	ADP
cord-186927-b8i85vo7	469	13	the	the	DET
cord-186927-b8i85vo7	469	14	initial	initial	ADJ
cord-186927-b8i85vo7	469	15	level	level	NOUN
cord-186927-b8i85vo7	469	16	β	β	NOUN
cord-186927-b8i85vo7	469	17	,	,	PUNCT
cord-186927-b8i85vo7	469	18	which	which	PRON
cord-186927-b8i85vo7	469	19	should	should	AUX
cord-186927-b8i85vo7	469	20	induce	induce	VERB
cord-186927-b8i85vo7	469	21	a	a	DET
cord-186927-b8i85vo7	469	22	more	more	ADV
cord-186927-b8i85vo7	469	23	violent	violent	ADJ
cord-186927-b8i85vo7	469	24	spread	spread	NOUN
cord-186927-b8i85vo7	469	25	of	of	ADP
cord-186927-b8i85vo7	469	26	the	the	DET
cord-186927-b8i85vo7	469	27	disease	disease	NOUN
cord-186927-b8i85vo7	469	28	.	.	PUNCT
cord-186927-b8i85vo7	470	1	nevertheless	nevertheless	ADV
cord-186927-b8i85vo7	470	2	,	,	PUNCT
cord-186927-b8i85vo7	470	3	the	the	DET
cord-186927-b8i85vo7	470	4	control	control	NOUN
cord-186927-b8i85vo7	470	5	α	α	PRON
cord-186927-b8i85vo7	470	6	,	,	PUNCT
cord-186927-b8i85vo7	470	7	representing	represent	VERB
cord-186927-b8i85vo7	470	8	the	the	DET
cord-186927-b8i85vo7	470	9	testing	testing	NOUN
cord-186927-b8i85vo7	470	10	policy	policy	NOUN
cord-186927-b8i85vo7	470	11	and	and	CCONJ
cord-186927-b8i85vo7	470	12	given	give	VERB
cord-186927-b8i85vo7	470	13	by	by	ADP
cord-186927-b8i85vo7	470	14	figure	figure	NOUN
cord-186927-b8i85vo7	470	15	13	13	NUM
cord-186927-b8i85vo7	470	16	,	,	PUNCT
cord-186927-b8i85vo7	470	17	balances	balance	VERB
cord-186927-b8i85vo7	470	18	this	this	DET
cord-186927-b8i85vo7	470	19	effect	effect	NOUN
cord-186927-b8i85vo7	470	20	.	.	PUNCT
cord-186927-b8i85vo7	471	1	indeed	indeed	ADV
cord-186927-b8i85vo7	471	2	,	,	PUNCT
cord-186927-b8i85vo7	471	3	the	the	DET
cord-186927-b8i85vo7	471	4	testing	testing	NOUN
cord-186927-b8i85vo7	471	5	allows	allow	VERB
cord-186927-b8i85vo7	471	6	an	an	DET
cord-186927-b8i85vo7	471	7	isolation	isolation	NOUN
cord-186927-b8i85vo7	471	8	of	of	ADP
cord-186927-b8i85vo7	471	9	targeted	target	VERB
cord-186927-b8i85vo7	471	10	infected	infect	VERB
cord-186927-b8i85vo7	471	11	individual	individual	NOUN
cord-186927-b8i85vo7	471	12	,	,	PUNCT
cord-186927-b8i85vo7	471	13	and	and	CCONJ
cord-186927-b8i85vo7	471	14	therefore	therefore	ADV
cord-186927-b8i85vo7	471	15	contribute	contribute	VERB
cord-186927-b8i85vo7	471	16	to	to	ADP
cord-186927-b8i85vo7	471	17	the	the	DET
cord-186927-b8i85vo7	471	18	decrease	decrease	NOUN
cord-186927-b8i85vo7	471	19	of	of	ADP
cord-186927-b8i85vo7	471	20	the	the	DET
cord-186927-b8i85vo7	471	21	effective	effective	ADJ
cord-186927-b8i85vo7	471	22	transmission	transmission	NOUN
cord-186927-b8i85vo7	471	23	rate	rate	NOUN
cord-186927-b8i85vo7	471	24	of	of	ADP
cord-186927-b8i85vo7	471	25	the	the	DET
cord-186927-b8i85vo7	471	26	disease	disease	NOUN
cord-186927-b8i85vo7	471	27	,	,	PUNCT
cord-186927-b8i85vo7	471	28	represented	represent	VERB
cord-186927-b8i85vo7	471	29	in	in	ADP
cord-186927-b8i85vo7	471	30	figure	figure	NOUN
cord-186927-b8i85vo7	471	31	14	14	NUM
cord-186927-b8i85vo7	471	32	.	.	PUNCT
cord-186927-b8i85vo7	472	1	therefore	therefore	ADV
cord-186927-b8i85vo7	472	2	,	,	PUNCT
cord-186927-b8i85vo7	472	3	comparing	compare	VERB
cord-186927-b8i85vo7	472	4	figure	figure	NOUN
cord-186927-b8i85vo7	472	5	16	16	NUM
cord-186927-b8i85vo7	472	6	with	with	ADP
cord-186927-b8i85vo7	472	7	figure	figure	NOUN
cord-186927-b8i85vo7	472	8	11	11	NUM
cord-186927-b8i85vo7	472	9	,	,	PUNCT
cord-186927-b8i85vo7	472	10	we	we	PRON
cord-186927-b8i85vo7	472	11	notice	notice	VERB
cord-186927-b8i85vo7	472	12	that	that	SCONJ
cord-186927-b8i85vo7	472	13	the	the	DET
cord-186927-b8i85vo7	472	14	control	control	NOUN
cord-186927-b8i85vo7	472	15	of	of	ADP
cord-186927-b8i85vo7	472	16	the	the	DET
cord-186927-b8i85vo7	472	17	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	472	18	is	be	AUX
cord-186927-b8i85vo7	472	19	more	more	ADV
cord-186927-b8i85vo7	472	20	efficient	efficient	ADJ
cord-186927-b8i85vo7	472	21	than	than	ADP
cord-186927-b8i85vo7	472	22	in	in	ADP
cord-186927-b8i85vo7	472	23	the	the	DET
cord-186927-b8i85vo7	472	24	case	case	NOUN
cord-186927-b8i85vo7	472	25	a	a	DET
cord-186927-b8i85vo7	472	26	=	=	NOUN
cord-186927-b8i85vo7	472	27	{	{	PUNCT
cord-186927-b8i85vo7	472	28	1	1	NUM
cord-186927-b8i85vo7	472	29	}	}	PUNCT
cord-186927-b8i85vo7	472	30	,	,	PUNCT
cord-186927-b8i85vo7	472	31	since	since	SCONJ
cord-186927-b8i85vo7	472	32	the	the	DET
cord-186927-b8i85vo7	472	33	proportion	proportion	NOUN
cord-186927-b8i85vo7	472	34	of	of	ADP
cord-186927-b8i85vo7	472	35	infected	infect	VERB
cord-186927-b8i85vo7	472	36	is	be	AUX
cord-186927-b8i85vo7	472	37	globally	globally	ADV
cord-186927-b8i85vo7	472	38	decreased	decrease	VERB
cord-186927-b8i85vo7	472	39	.	.	PUNCT
cord-186927-b8i85vo7	473	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	473	2	contact	contact	NOUN
cord-186927-b8i85vo7	473	3	rate	rate	NOUN
cord-186927-b8i85vo7	473	4	β	β	NOUN
cord-186927-b8i85vo7	473	5	effective	effective	ADJ
cord-186927-b8i85vo7	473	6	transmission	transmission	NOUN
cord-186927-b8i85vo7	473	7	rate	rate	NOUN
cord-186927-b8i85vo7	473	8	β	β	NOUN
cord-186927-b8i85vo7	473	9	√	√	PUNCT
cord-186927-b8i85vo7	473	10	α	α	PROPN
cord-186927-b8i85vo7	473	11	first	first	ADV
cord-186927-b8i85vo7	473	12	,	,	PUNCT
cord-186927-b8i85vo7	473	13	remark	remark	VERB
cord-186927-b8i85vo7	473	14	that	that	SCONJ
cord-186927-b8i85vo7	473	15	,	,	PUNCT
cord-186927-b8i85vo7	473	16	with	with	ADP
cord-186927-b8i85vo7	473	17	the	the	DET
cord-186927-b8i85vo7	473	18	particular	particular	ADJ
cord-186927-b8i85vo7	473	19	choice	choice	NOUN
cord-186927-b8i85vo7	473	20	of	of	ADP
cord-186927-b8i85vo7	473	21	utility	utility	NOUN
cord-186927-b8i85vo7	473	22	functions	function	NOUN
cord-186927-b8i85vo7	473	23	,	,	PUNCT
cord-186927-b8i85vo7	473	24	we	we	PRON
cord-186927-b8i85vo7	473	25	have	have	AUX
cord-186927-b8i85vo7	473	26	otherwise	otherwise	ADV
cord-186927-b8i85vo7	473	27	,	,	PUNCT
cord-186927-b8i85vo7	473	28	if	if	SCONJ
cord-186927-b8i85vo7	473	29	≥	≥	NOUN
cord-186927-b8i85vo7	473	30	2	2	NUM
cord-186927-b8i85vo7	473	31	,	,	PUNCT
cord-186927-b8i85vo7	473	32	the	the	DET
cord-186927-b8i85vo7	473	33	optimal	optimal	ADJ
cord-186927-b8i85vo7	473	34	tax	tax	NOUN
cord-186927-b8i85vo7	473	35	policy	policy	NOUN
cord-186927-b8i85vo7	473	36	is	be	AUX
cord-186927-b8i85vo7	473	37	equal	equal	ADJ
cord-186927-b8i85vo7	473	38	to	to	ADP
cord-186927-b8i85vo7	473	39	−∞	−∞	PROPN
cord-186927-b8i85vo7	473	40	,	,	PUNCT
cord-186927-b8i85vo7	473	41	which	which	PRON
cord-186927-b8i85vo7	473	42	can	can	AUX
cord-186927-b8i85vo7	473	43	not	not	PART
cord-186927-b8i85vo7	473	44	be	be	AUX
cord-186927-b8i85vo7	473	45	optimal	optimal	ADJ
cord-186927-b8i85vo7	473	46	from	from	ADP
cord-186927-b8i85vo7	473	47	the	the	DET
cord-186927-b8i85vo7	473	48	government	government	NOUN
cord-186927-b8i85vo7	473	49	's	's	PART
cord-186927-b8i85vo7	473	50	point	point	NOUN
cord-186927-b8i85vo7	473	51	of	of	ADP
cord-186927-b8i85vo7	473	52	view	view	NOUN
cord-186927-b8i85vo7	473	53	,	,	PUNCT
cord-186927-b8i85vo7	473	54	since	since	SCONJ
cord-186927-b8i85vo7	473	55	it	it	PRON
cord-186927-b8i85vo7	473	56	leads	lead	VERB
cord-186927-b8i85vo7	473	57	to	to	ADP
cord-186927-b8i85vo7	473	58	an	an	DET
cord-186927-b8i85vo7	473	59	infimum	infimum	NOUN
cord-186927-b8i85vo7	473	60	on	on	ADP
cord-186927-b8i85vo7	473	61	equal	equal	ADJ
cord-186927-b8i85vo7	473	62	to	to	ADP
cord-186927-b8i85vo7	473	63	+	+	SYM
cord-186927-b8i85vo7	473	64	∞	∞	NUM
cord-186927-b8i85vo7	473	65	(	(	PUNCT
cord-186927-b8i85vo7	473	66	see	see	VERB
cord-186927-b8i85vo7	473	67	(	(	PUNCT
cord-186927-b8i85vo7	473	68	2.21	2.21	NUM
cord-186927-b8i85vo7	473	69	)	)	PUNCT
cord-186927-b8i85vo7	473	70	)	)	PUNCT
cord-186927-b8i85vo7	473	71	.	.	PUNCT
cord-186927-b8i85vo7	474	1	for	for	SCONJ
cord-186927-b8i85vo7	474	2	each	each	DET
cord-186927-b8i85vo7	474	3	value	value	NOUN
cord-186927-b8i85vo7	474	4	of	of	ADP
cord-186927-b8i85vo7	474	5	the	the	DET
cord-186927-b8i85vo7	474	6	lagrange	lagrange	NOUN
cord-186927-b8i85vo7	474	7	parameter	parameter	NOUN
cord-186927-b8i85vo7	474	8	,	,	PUNCT
cord-186927-b8i85vo7	474	9	a	a	DET
cord-186927-b8i85vo7	474	10	two	two	NUM
cord-186927-b8i85vo7	474	11	dimensional	dimensional	ADJ
cord-186927-b8i85vo7	474	12	pde	pde	NOUN
cord-186927-b8i85vo7	474	13	with	with	ADP
cord-186927-b8i85vo7	474	14	a	a	DET
cord-186927-b8i85vo7	474	15	two	two	NUM
cord-186927-b8i85vo7	474	16	-	-	PUNCT
cord-186927-b8i85vo7	474	17	dimensional	dimensional	ADJ
cord-186927-b8i85vo7	474	18	control	control	NOUN
cord-186927-b8i85vo7	474	19	(	(	PUNCT
cord-186927-b8i85vo7	474	20	α	α	PROPN
cord-186927-b8i85vo7	474	21	,	,	PUNCT
cord-186927-b8i85vo7	474	22	β	β	NOUN
cord-186927-b8i85vo7	474	23	)	)	PUNCT
cord-186927-b8i85vo7	474	24	is	be	AUX
cord-186927-b8i85vo7	474	25	considered	consider	VERB
cord-186927-b8i85vo7	474	26	.	.	PUNCT
cord-186927-b8i85vo7	475	1	a	a	DET
cord-186927-b8i85vo7	475	2	step	step	NOUN
cord-186927-b8i85vo7	475	3	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	475	4	for	for	ADP
cord-186927-b8i85vo7	475	5	the	the	DET
cord-186927-b8i85vo7	475	6	grid	grid	NOUN
cord-186927-b8i85vo7	475	7	in	in	ADP
cord-186927-b8i85vo7	475	8	(	(	PUNCT
cord-186927-b8i85vo7	475	9	s	s	PROPN
cord-186927-b8i85vo7	475	10	,	,	PUNCT
cord-186927-b8i85vo7	475	11	i	i	NOUN
cord-186927-b8i85vo7	475	12	)	)	PUNCT
cord-186927-b8i85vo7	475	13	is	be	AUX
cord-186927-b8i85vo7	475	14	taken	take	VERB
cord-186927-b8i85vo7	475	15	equal	equal	ADJ
cord-186927-b8i85vo7	475	16	to	to	ADP
cord-186927-b8i85vo7	475	17	(	(	PUNCT
cord-186927-b8i85vo7	475	18	0.001	0.001	NUM
cord-186927-b8i85vo7	475	19	,	,	PUNCT
cord-186927-b8i85vo7	475	20	0.001	0.001	NUM
cord-186927-b8i85vo7	475	21	)	)	PUNCT
cord-186927-b8i85vo7	475	22	.	.	PUNCT
cord-186927-b8i85vo7	476	1	a	a	DET
cord-186927-b8i85vo7	476	2	=	=	NOUN
cord-186927-b8i85vo7	476	3	[	[	PUNCT
cord-186927-b8i85vo7	476	4	ε	ε	NOUN
cord-186927-b8i85vo7	476	5	,	,	PUNCT
cord-186927-b8i85vo7	476	6	1	1	NUM
cord-186927-b8i85vo7	476	7	]	]	PUNCT
cord-186927-b8i85vo7	476	8	is	be	AUX
cord-186927-b8i85vo7	476	9	discretised	discretise	VERB
cord-186927-b8i85vo7	476	10	with	with	ADP
cord-186927-b8i85vo7	476	11	20	20	NUM
cord-186927-b8i85vo7	476	12	values	value	NOUN
cord-186927-b8i85vo7	476	13	and	and	CCONJ
cord-186927-b8i85vo7	476	14	the	the	DET
cord-186927-b8i85vo7	476	15	values	value	NOUN
cord-186927-b8i85vo7	476	16	of	of	ADP
cord-186927-b8i85vo7	476	17	β	β	NOUN
cord-186927-b8i85vo7	476	18	are	be	AUX
cord-186927-b8i85vo7	476	19	discretised	discretise	VERB
cord-186927-b8i85vo7	476	20	with	with	ADP
cord-186927-b8i85vo7	476	21	80	80	NUM
cord-186927-b8i85vo7	476	22	equally	equally	ADV
cord-186927-b8i85vo7	476	23	spaced	space	VERB
cord-186927-b8i85vo7	476	24	values	value	NOUN
cord-186927-b8i85vo7	476	25	(	(	PUNCT
cord-186927-b8i85vo7	476	26	to	to	PART
cord-186927-b8i85vo7	476	27	reduce	reduce	VERB
cord-186927-b8i85vo7	476	28	the	the	DET
cord-186927-b8i85vo7	476	29	cost	cost	NOUN
cord-186927-b8i85vo7	476	30	of	of	ADP
cord-186927-b8i85vo7	476	31	optimisation	optimisation	NOUN
cord-186927-b8i85vo7	476	32	)	)	PUNCT
cord-186927-b8i85vo7	476	33	.	.	PUNCT
cord-186927-b8i85vo7	477	1	we	we	PRON
cord-186927-b8i85vo7	477	2	then	then	ADV
cord-186927-b8i85vo7	477	3	search	search	VERB
cord-186927-b8i85vo7	477	4	for	for	ADP
cord-186927-b8i85vo7	477	5	the	the	DET
cord-186927-b8i85vo7	477	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	477	7	parameter	parameter	NOUN
cord-186927-b8i85vo7	477	8	with	with	ADP
cord-186927-b8i85vo7	477	9	a	a	DET
cord-186927-b8i85vo7	477	10	step	step	NOUN
cord-186927-b8i85vo7	477	11	of	of	ADP
cord-186927-b8i85vo7	477	12	0.01	0.01	NUM
cord-186927-b8i85vo7	477	13	within	within	ADP
cord-186927-b8i85vo7	477	14	the	the	DET
cord-186927-b8i85vo7	477	15	interval	interval	NOUN
cord-186927-b8i85vo7	477	16	(	(	PUNCT
cord-186927-b8i85vo7	477	17	0	0	NUM
cord-186927-b8i85vo7	477	18	,	,	PUNCT
cord-186927-b8i85vo7	477	19	2	2	NUM
cord-186927-b8i85vo7	477	20	)	)	PUNCT
cord-186927-b8i85vo7	477	21	.	.	PUNCT
cord-186927-b8i85vo7	478	1	we	we	PRON
cord-186927-b8i85vo7	478	2	obtain	obtain	VERB
cord-186927-b8i85vo7	478	3	in	in	ADP
cord-186927-b8i85vo7	478	4	this	this	DET
cord-186927-b8i85vo7	478	5	case	case	NOUN
cord-186927-b8i85vo7	478	6	an	an	DET
cord-186927-b8i85vo7	478	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	478	8	value	value	NOUN
cord-186927-b8i85vo7	478	9	equal	equal	ADJ
cord-186927-b8i85vo7	478	10	to	to	ADP
cord-186927-b8i85vo7	478	11	0.64	0.64	NUM
cord-186927-b8i85vo7	478	12	and	and	CCONJ
cord-186927-b8i85vo7	478	13	we	we	PRON
cord-186927-b8i85vo7	478	14	give	give	VERB
cord-186927-b8i85vo7	478	15	on	on	ADP
cord-186927-b8i85vo7	478	16	figure	figure	NOUN
cord-186927-b8i85vo7	478	17	17	17	NUM
cord-186927-b8i85vo7	478	18	the	the	DET
cord-186927-b8i85vo7	478	19	results	result	NOUN
cord-186927-b8i85vo7	478	20	,	,	PUNCT
cord-186927-b8i85vo7	478	21	which	which	PRON
cord-186927-b8i85vo7	478	22	show	show	VERB
cord-186927-b8i85vo7	478	23	in	in	ADP
cord-186927-b8i85vo7	478	24	particular	particular	ADJ
cord-186927-b8i85vo7	478	25	that	that	SCONJ
cord-186927-b8i85vo7	478	26	the	the	DET
cord-186927-b8i85vo7	478	27	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	478	28	is	be	AUX
cord-186927-b8i85vo7	478	29	controlled	control	VERB
cord-186927-b8i85vo7	478	30	in	in	ADP
cord-186927-b8i85vo7	478	31	a	a	DET
cord-186927-b8i85vo7	478	32	similar	similar	ADJ
cord-186927-b8i85vo7	478	33	way	way	NOUN
cord-186927-b8i85vo7	478	34	as	as	ADP
cord-186927-b8i85vo7	478	35	in	in	ADP
cord-186927-b8i85vo7	478	36	the	the	DET
cord-186927-b8i85vo7	478	37	second	second	ADV
cord-186927-b8i85vo7	478	38	-	-	PUNCT
cord-186927-b8i85vo7	478	39	best	good	ADJ
cord-186927-b8i85vo7	478	40	case	case	NOUN
cord-186927-b8i85vo7	478	41	,	,	PUNCT
cord-186927-b8i85vo7	478	42	with	with	ADP
cord-186927-b8i85vo7	478	43	incentives	incentive	NOUN
cord-186927-b8i85vo7	478	44	and	and	CCONJ
cord-186927-b8i85vo7	478	45	testing	testing	NOUN
cord-186927-b8i85vo7	478	46	policy	policy	NOUN
cord-186927-b8i85vo7	478	47	.	.	PUNCT
cord-186927-b8i85vo7	479	1	testing	testing	NOUN
cord-186927-b8i85vo7	479	2	policy	policy	NOUN
cord-186927-b8i85vo7	479	3	α	α	PROPN
cord-186927-b8i85vo7	479	4	proportion	proportion	NOUN
cord-186927-b8i85vo7	479	5	of	of	ADP
cord-186927-b8i85vo7	479	6	infected	infected	PROPN
cord-186927-b8i85vo7	479	7	i	i	PRON
cord-186927-b8i85vo7	479	8	figure	figure	VERB
cord-186927-b8i85vo7	479	9	17	17	NUM
cord-186927-b8i85vo7	479	10	:	:	SYM
cord-186927-b8i85vo7	479	11	500	500	NUM
cord-186927-b8i85vo7	479	12	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	479	13	obtained	obtain	VERB
cord-186927-b8i85vo7	479	14	in	in	ADP
cord-186927-b8i85vo7	479	15	the	the	DET
cord-186927-b8i85vo7	479	16	first	first	ADV
cord-186927-b8i85vo7	479	17	-	-	PUNCT
cord-186927-b8i85vo7	479	18	best	good	ADJ
cord-186927-b8i85vo7	479	19	case	case	NOUN
cord-186927-b8i85vo7	479	20	.	.	PUNCT
cord-186927-b8i85vo7	480	1	the	the	DET
cord-186927-b8i85vo7	480	2	shape	shape	NOUN
cord-186927-b8i85vo7	480	3	of	of	ADP
cord-186927-b8i85vo7	480	4	the	the	DET
cord-186927-b8i85vo7	480	5	optimal	optimal	ADJ
cord-186927-b8i85vo7	480	6	controls	control	NOUN
cord-186927-b8i85vo7	480	7	β	β	NOUN
cord-186927-b8i85vo7	480	8	and	and	CCONJ
cord-186927-b8i85vo7	480	9	α	α	PRON
cord-186927-b8i85vo7	480	10	,	,	PUNCT
cord-186927-b8i85vo7	480	11	as	as	ADV
cord-186927-b8i85vo7	480	12	well	well	ADV
cord-186927-b8i85vo7	480	13	as	as	ADP
cord-186927-b8i85vo7	480	14	the	the	DET
cord-186927-b8i85vo7	480	15	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	480	16	for	for	ADP
cord-186927-b8i85vo7	480	17	the	the	DET
cord-186927-b8i85vo7	480	18	proportion	proportion	NOUN
cord-186927-b8i85vo7	480	19	i	i	PRON
cord-186927-b8i85vo7	480	20	of	of	ADP
cord-186927-b8i85vo7	480	21	infected	infected	PROPN
cord-186927-b8i85vo7	480	22	,	,	PUNCT
cord-186927-b8i85vo7	480	23	are	be	AUX
cord-186927-b8i85vo7	480	24	highly	highly	ADV
cord-186927-b8i85vo7	480	25	similar	similar	ADJ
cord-186927-b8i85vo7	480	26	to	to	ADP
cord-186927-b8i85vo7	480	27	those	those	PRON
cord-186927-b8i85vo7	480	28	obtained	obtain	VERB
cord-186927-b8i85vo7	480	29	in	in	ADP
cord-186927-b8i85vo7	480	30	the	the	DET
cord-186927-b8i85vo7	480	31	previous	previous	ADJ
cord-186927-b8i85vo7	480	32	case	case	NOUN
cord-186927-b8i85vo7	480	33	.	.	PUNCT
cord-186927-b8i85vo7	481	1	the	the	DET
cord-186927-b8i85vo7	481	2	only	only	ADJ
cord-186927-b8i85vo7	481	3	clear	clear	ADJ
cord-186927-b8i85vo7	481	4	difference	difference	NOUN
cord-186927-b8i85vo7	481	5	is	be	AUX
cord-186927-b8i85vo7	481	6	the	the	DET
cord-186927-b8i85vo7	481	7	principal	principal	NOUN
cord-186927-b8i85vo7	481	8	's	's	PART
cord-186927-b8i85vo7	481	9	value	value	NOUN
cord-186927-b8i85vo7	481	10	.	.	PUNCT
cord-186927-b8i85vo7	482	1	indeed	indeed	ADV
cord-186927-b8i85vo7	482	2	,	,	PUNCT
cord-186927-b8i85vo7	482	3	we	we	PRON
cord-186927-b8i85vo7	482	4	can	can	AUX
cord-186927-b8i85vo7	482	5	compare	compare	VERB
cord-186927-b8i85vo7	482	6	the	the	DET
cord-186927-b8i85vo7	482	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	482	8	value	value	NOUN
cord-186927-b8i85vo7	482	9	v	v	NOUN
cord-186927-b8i85vo7	482	10	p	p	NOUN
cord-186927-b8i85vo7	482	11	0	0	NUM
cord-186927-b8i85vo7	482	12	for	for	ADP
cord-186927-b8i85vo7	482	13	the	the	DET
cord-186927-b8i85vo7	482	14	government	government	NOUN
cord-186927-b8i85vo7	482	15	in	in	ADP
cord-186927-b8i85vo7	482	16	the	the	DET
cord-186927-b8i85vo7	482	17	moral	moral	ADJ
cord-186927-b8i85vo7	482	18	hazard	hazard	NOUN
cord-186927-b8i85vo7	482	19	case	case	NOUN
cord-186927-b8i85vo7	482	20	,	,	PUNCT
cord-186927-b8i85vo7	482	21	to	to	ADP
cord-186927-b8i85vo7	482	22	the	the	DET
cord-186927-b8i85vo7	482	23	first	first	ADJ
cord-186927-b8i85vo7	482	24	best	good	ADJ
cord-186927-b8i85vo7	482	25	value	value	NOUN
cord-186927-b8i85vo7	482	26	v	v	ADP
cord-186927-b8i85vo7	482	27	p	p	NOUN
cord-186927-b8i85vo7	482	28	,	,	PUNCT
cord-186927-b8i85vo7	482	29	fb	fb	PROPN
cord-186927-b8i85vo7	482	30	0	0	NUM
cord-186927-b8i85vo7	482	31	.	.	PUNCT
cord-186927-b8i85vo7	483	1	using	use	VERB
cord-186927-b8i85vo7	483	2	10	10	NUM
cord-186927-b8i85vo7	483	3	4	4	NUM
cord-186927-b8i85vo7	483	4	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	483	5	and	and	CCONJ
cord-186927-b8i85vo7	483	6	the	the	DET
cord-186927-b8i85vo7	483	7	previously	previously	ADV
cord-186927-b8i85vo7	483	8	optimal	optimal	ADJ
cord-186927-b8i85vo7	483	9	control	control	NOUN
cord-186927-b8i85vo7	483	10	computed	compute	VERB
cord-186927-b8i85vo7	483	11	,	,	PUNCT
cord-186927-b8i85vo7	483	12	we	we	PRON
cord-186927-b8i85vo7	483	13	estimate	estimate	VERB
cord-186927-b8i85vo7	483	14	v	v	X
cord-186927-b8i85vo7	483	15	p	p	PROPN
cord-186927-b8i85vo7	483	16	,	,	PUNCT
cord-186927-b8i85vo7	483	17	fb	fb	PROPN
cord-186927-b8i85vo7	483	18	0	0	NUM
cord-186927-b8i85vo7	484	1	=	=	X
cord-186927-b8i85vo7	485	1	−0.249	−0.249	PROPN
cord-186927-b8i85vo7	485	2	while	while	SCONJ
cord-186927-b8i85vo7	485	3	v	v	PROPN
cord-186927-b8i85vo7	485	4	p	p	NOUN
cord-186927-b8i85vo7	485	5	0	0	PUNCT
cord-186927-b8i85vo7	485	6	=	=	X
cord-186927-b8i85vo7	485	7	−0.287	−0.287	PROPN
cord-186927-b8i85vo7	485	8	.	.	PUNCT
cord-186927-b8i85vo7	486	1	the	the	DET
cord-186927-b8i85vo7	486	2	difference	difference	NOUN
cord-186927-b8i85vo7	486	3	between	between	ADP
cord-186927-b8i85vo7	486	4	the	the	DET
cord-186927-b8i85vo7	486	5	two	two	NUM
cord-186927-b8i85vo7	486	6	values	value	NOUN
cord-186927-b8i85vo7	486	7	,	,	PUNCT
cord-186927-b8i85vo7	486	8	with	with	ADP
cord-186927-b8i85vo7	486	9	a	a	DET
cord-186927-b8i85vo7	486	10	relative	relative	ADJ
cord-186927-b8i85vo7	486	11	difference	difference	NOUN
cord-186927-b8i85vo7	486	12	of	of	ADP
cord-186927-b8i85vo7	486	13	15	15	NUM
cord-186927-b8i85vo7	486	14	%	%	NOUN
cord-186927-b8i85vo7	486	15	only	only	ADV
cord-186927-b8i85vo7	486	16	pleads	plead	VERB
cord-186927-b8i85vo7	486	17	in	in	ADP
cord-186927-b8i85vo7	486	18	favour	favour	NOUN
cord-186927-b8i85vo7	486	19	of	of	ADP
cord-186927-b8i85vo7	486	20	our	our	PRON
cord-186927-b8i85vo7	486	21	incentive	incentive	NOUN
cord-186927-b8i85vo7	486	22	model	model	NOUN
cord-186927-b8i85vo7	486	23	:	:	PUNCT
cord-186927-b8i85vo7	486	24	even	even	ADV
cord-186927-b8i85vo7	486	25	without	without	ADP
cord-186927-b8i85vo7	486	26	being	be	AUX
cord-186927-b8i85vo7	486	27	able	able	ADJ
cord-186927-b8i85vo7	486	28	to	to	PART
cord-186927-b8i85vo7	486	29	track	track	VERB
cord-186927-b8i85vo7	486	30	all	all	DET
cord-186927-b8i85vo7	486	31	the	the	DET
cord-186927-b8i85vo7	486	32	population	population	NOUN
cord-186927-b8i85vo7	486	33	,	,	PUNCT
cord-186927-b8i85vo7	486	34	governments	government	NOUN
cord-186927-b8i85vo7	486	35	can	can	AUX
cord-186927-b8i85vo7	486	36	achieve	achieve	VERB
cord-186927-b8i85vo7	486	37	containment	containment	NOUN
cord-186927-b8i85vo7	486	38	strategies	strategy	NOUN
cord-186927-b8i85vo7	486	39	with	with	ADP
cord-186927-b8i85vo7	486	40	very	very	ADV
cord-186927-b8i85vo7	486	41	similar	similar	ADJ
cord-186927-b8i85vo7	486	42	levels	level	NOUN
cord-186927-b8i85vo7	486	43	of	of	ADP
cord-186927-b8i85vo7	486	44	efficiency	efficiency	NOUN
cord-186927-b8i85vo7	486	45	,	,	PUNCT
cord-186927-b8i85vo7	486	46	and	and	CCONJ
cord-186927-b8i85vo7	486	47	costs	cost	NOUN
cord-186927-b8i85vo7	486	48	which	which	PRON
cord-186927-b8i85vo7	486	49	are	be	AUX
cord-186927-b8i85vo7	486	50	not	not	PART
cord-186927-b8i85vo7	486	51	significantly	significantly	ADV
cord-186927-b8i85vo7	486	52	higher	high	ADJ
cord-186927-b8i85vo7	486	53	.	.	PUNCT
cord-186927-b8i85vo7	487	1	this	this	PRON
cord-186927-b8i85vo7	487	2	is	be	AUX
cord-186927-b8i85vo7	487	3	of	of	ADP
cord-186927-b8i85vo7	487	4	course	course	NOUN
cord-186927-b8i85vo7	487	5	partly	partly	ADV
cord-186927-b8i85vo7	487	6	explained	explain	VERB
cord-186927-b8i85vo7	487	7	by	by	ADP
cord-186927-b8i85vo7	487	8	the	the	DET
cord-186927-b8i85vo7	487	9	fact	fact	NOUN
cord-186927-b8i85vo7	487	10	that	that	SCONJ
cord-186927-b8i85vo7	487	11	the	the	DET
cord-186927-b8i85vo7	487	12	testing	testing	NOUN
cord-186927-b8i85vo7	487	13	is	be	AUX
cord-186927-b8i85vo7	487	14	profitable	profitable	ADJ
cord-186927-b8i85vo7	487	15	both	both	PRON
cord-186927-b8i85vo7	487	16	for	for	ADP
cord-186927-b8i85vo7	487	17	the	the	DET
cord-186927-b8i85vo7	487	18	government	government	NOUN
cord-186927-b8i85vo7	487	19	and	and	CCONJ
cord-186927-b8i85vo7	487	20	for	for	ADP
cord-186927-b8i85vo7	487	21	the	the	DET
cord-186927-b8i85vo7	487	22	population	population	NOUN
cord-186927-b8i85vo7	487	23	,	,	PUNCT
cord-186927-b8i85vo7	487	24	as	as	SCONJ
cord-186927-b8i85vo7	487	25	it	it	PRON
cord-186927-b8i85vo7	487	26	allows	allow	VERB
cord-186927-b8i85vo7	487	27	for	for	ADP
cord-186927-b8i85vo7	487	28	values	value	NOUN
cord-186927-b8i85vo7	487	29	of	of	ADP
cord-186927-b8i85vo7	487	30	β	β	NOUN
cord-186927-b8i85vo7	487	31	very	very	ADV
cord-186927-b8i85vo7	487	32	close	close	ADJ
cord-186927-b8i85vo7	487	33	to	to	ADP
cord-186927-b8i85vo7	487	34	its	its	PRON
cord-186927-b8i85vo7	487	35	usual	usual	ADJ
cord-186927-b8i85vo7	487	36	value	value	NOUN
cord-186927-b8i85vo7	487	37	β	β	NOUN
cord-186927-b8i85vo7	487	38	,	,	PUNCT
cord-186927-b8i85vo7	487	39	as	as	SCONJ
cord-186927-b8i85vo7	487	40	shown	show	VERB
cord-186927-b8i85vo7	487	41	on	on	ADP
cord-186927-b8i85vo7	487	42	figure	figure	NOUN
cord-186927-b8i85vo7	487	43	17	17	NUM
cord-186927-b8i85vo7	487	44	.	.	PUNCT
cord-186927-b8i85vo7	488	1	we	we	PRON
cord-186927-b8i85vo7	488	2	fix	fix	VERB
cord-186927-b8i85vo7	488	3	a	a	DET
cord-186927-b8i85vo7	488	4	small	small	ADJ
cord-186927-b8i85vo7	488	5	parameter	parameter	NOUN
cord-186927-b8i85vo7	488	6	ε	ε	NOUN
cord-186927-b8i85vo7	488	7	∈	∈	NOUN
cord-186927-b8i85vo7	488	8	(	(	PUNCT
cord-186927-b8i85vo7	488	9	0	0	NUM
cord-186927-b8i85vo7	488	10	,	,	PUNCT
cord-186927-b8i85vo7	488	11	1	1	NUM
cord-186927-b8i85vo7	488	12	)	)	PUNCT
cord-186927-b8i85vo7	488	13	to	to	PART
cord-186927-b8i85vo7	488	14	consider	consider	VERB
cord-186927-b8i85vo7	488	15	the	the	DET
cord-186927-b8i85vo7	488	16	subset	subset	NOUN
cord-186927-b8i85vo7	488	17	a	a	DET
cord-186927-b8i85vo7	488	18	:	:	PUNCT
cord-186927-b8i85vo7	488	19	=	=	NOUN
cord-186927-b8i85vo7	488	20	[	[	X
cord-186927-b8i85vo7	488	21	ε	ε	NOUN
cord-186927-b8i85vo7	488	22	,	,	PUNCT
cord-186927-b8i85vo7	488	23	1	1	NUM
cord-186927-b8i85vo7	488	24	]	]	PUNCT
cord-186927-b8i85vo7	488	25	.	.	PUNCT
cord-186927-b8i85vo7	489	1	we	we	PRON
cord-186927-b8i85vo7	489	2	then	then	ADV
cord-186927-b8i85vo7	489	3	define	define	VERB
cord-186927-b8i85vo7	489	4	by	by	ADP
cord-186927-b8i85vo7	489	5	a	a	DET
cord-186927-b8i85vo7	489	6	the	the	DET
cord-186927-b8i85vo7	489	7	set	set	NOUN
cord-186927-b8i85vo7	489	8	of	of	ADP
cord-186927-b8i85vo7	489	9	all	all	DET
cord-186927-b8i85vo7	489	10	finite	finite	NOUN
cord-186927-b8i85vo7	489	11	and	and	CCONJ
cord-186927-b8i85vo7	489	12	positive	positive	ADJ
cord-186927-b8i85vo7	489	13	borel	borel	PROPN
cord-186927-b8i85vo7	489	14	measures	measure	NOUN
cord-186927-b8i85vo7	489	15	on	on	ADP
cord-186927-b8i85vo7	489	16	[	[	PROPN
cord-186927-b8i85vo7	489	17	0	0	NUM
cord-186927-b8i85vo7	489	18	,	,	PUNCT
cord-186927-b8i85vo7	489	19	t	t	NOUN
cord-186927-b8i85vo7	489	20	]	]	X
cord-186927-b8i85vo7	489	21	×	×	NOUN
cord-186927-b8i85vo7	489	22	a	a	PRON
cord-186927-b8i85vo7	489	23	,	,	PUNCT
cord-186927-b8i85vo7	489	24	whose	whose	DET
cord-186927-b8i85vo7	489	25	projection	projection	NOUN
cord-186927-b8i85vo7	489	26	on	on	ADP
cord-186927-b8i85vo7	489	27	[	[	X
cord-186927-b8i85vo7	489	28	0	0	NUM
cord-186927-b8i85vo7	489	29	,	,	PUNCT
cord-186927-b8i85vo7	489	30	t	t	NOUN
cord-186927-b8i85vo7	489	31	]	]	PUNCT
cord-186927-b8i85vo7	489	32	is	be	AUX
cord-186927-b8i85vo7	489	33	the	the	DET
cord-186927-b8i85vo7	489	34	lebesgue	lebesgue	PROPN
cord-186927-b8i85vo7	489	35	measure	measure	NOUN
cord-186927-b8i85vo7	489	36	.	.	PUNCT
cord-186927-b8i85vo7	490	1	in	in	ADP
cord-186927-b8i85vo7	490	2	other	other	ADJ
cord-186927-b8i85vo7	490	3	words	word	NOUN
cord-186927-b8i85vo7	490	4	,	,	PUNCT
cord-186927-b8i85vo7	490	5	every	every	DET
cord-186927-b8i85vo7	490	6	q	q	NOUN
cord-186927-b8i85vo7	490	7	∈	∈	NOUN
cord-186927-b8i85vo7	490	8	a	a	PRON
cord-186927-b8i85vo7	490	9	can	can	AUX
cord-186927-b8i85vo7	490	10	be	be	AUX
cord-186927-b8i85vo7	490	11	disintegrated	disintegrate	VERB
cord-186927-b8i85vo7	490	12	as	as	ADP
cord-186927-b8i85vo7	490	13	q(ds	q(ds	PROPN
cord-186927-b8i85vo7	490	14	,	,	PUNCT
cord-186927-b8i85vo7	490	15	dv	dv	PROPN
cord-186927-b8i85vo7	490	16	)	)	PUNCT
cord-186927-b8i85vo7	490	17	=	=	SYM
cord-186927-b8i85vo7	490	18	q	q	X
cord-186927-b8i85vo7	490	19	s	s	PROPN
cord-186927-b8i85vo7	490	20	(	(	PUNCT
cord-186927-b8i85vo7	490	21	dv)ds	dv)ds	PROPN
cord-186927-b8i85vo7	490	22	,	,	PUNCT
cord-186927-b8i85vo7	490	23	for	for	ADP
cord-186927-b8i85vo7	490	24	an	an	DET
cord-186927-b8i85vo7	490	25	appropriate	appropriate	ADJ
cord-186927-b8i85vo7	490	26	borel	borel	PROPN
cord-186927-b8i85vo7	490	27	measurable	measurable	NOUN
cord-186927-b8i85vo7	490	28	kernel	kernel	PROPN
cord-186927-b8i85vo7	490	29	(	(	PUNCT
cord-186927-b8i85vo7	490	30	q	q	NOUN
cord-186927-b8i85vo7	490	31	s	s	NOUN
cord-186927-b8i85vo7	490	32	)	)	PUNCT
cord-186927-b8i85vo7	490	33	s∈[0,t	s∈[0,t	VERB
cord-186927-b8i85vo7	490	34	]	]	PUNCT
cord-186927-b8i85vo7	490	35	,	,	PUNCT
cord-186927-b8i85vo7	490	36	meaning	mean	VERB
cord-186927-b8i85vo7	491	1	that	that	SCONJ
cord-186927-b8i85vo7	491	2	for	for	ADP
cord-186927-b8i85vo7	491	3	any	any	DET
cord-186927-b8i85vo7	491	4	s	s	NOUN
cord-186927-b8i85vo7	491	5	∈	∈	NOUN
cord-186927-b8i85vo7	491	6	[	[	X
cord-186927-b8i85vo7	491	7	0	0	NUM
cord-186927-b8i85vo7	491	8	,	,	PUNCT
cord-186927-b8i85vo7	491	9	t	t	NOUN
cord-186927-b8i85vo7	491	10	]	]	PUNCT
cord-186927-b8i85vo7	491	11	,	,	PUNCT
cord-186927-b8i85vo7	491	12	q	q	X
cord-186927-b8i85vo7	491	13	s	s	PROPN
cord-186927-b8i85vo7	491	14	is	be	AUX
cord-186927-b8i85vo7	491	15	a	a	DET
cord-186927-b8i85vo7	491	16	finite	finite	ADJ
cord-186927-b8i85vo7	491	17	positive	positive	PROPN
cord-186927-b8i85vo7	491	18	borel	borel	PROPN
cord-186927-b8i85vo7	491	19	measure	measure	NOUN
cord-186927-b8i85vo7	491	20	on	on	ADP
cord-186927-b8i85vo7	491	21	a	a	PRON
cord-186927-b8i85vo7	491	22	,	,	PUNCT
cord-186927-b8i85vo7	491	23	and	and	CCONJ
cord-186927-b8i85vo7	491	24	the	the	DET
cord-186927-b8i85vo7	491	25	map	map	NOUN
cord-186927-b8i85vo7	491	26	[	[	X
cord-186927-b8i85vo7	491	27	0	0	NUM
cord-186927-b8i85vo7	491	28	,	,	PUNCT
cord-186927-b8i85vo7	491	29	t	t	NOUN
cord-186927-b8i85vo7	491	30	]	]	PUNCT
cord-186927-b8i85vo7	492	1	s	s	X
cord-186927-b8i85vo7	492	2	−→	−→	NOUN
cord-186927-b8i85vo7	492	3	q	q	PROPN
cord-186927-b8i85vo7	492	4	s	s	PROPN
cord-186927-b8i85vo7	492	5	is	be	AUX
cord-186927-b8i85vo7	492	6	borel	borel	PROPN
cord-186927-b8i85vo7	492	7	measurable	measurable	PROPN
cord-186927-b8i85vo7	492	8	,	,	PUNCT
cord-186927-b8i85vo7	492	9	when	when	SCONJ
cord-186927-b8i85vo7	492	10	the	the	DET
cord-186927-b8i85vo7	492	11	space	space	NOUN
cord-186927-b8i85vo7	492	12	of	of	ADP
cord-186927-b8i85vo7	492	13	measures	measure	NOUN
cord-186927-b8i85vo7	492	14	on	on	ADP
cord-186927-b8i85vo7	492	15	a	a	PRON
cord-186927-b8i85vo7	492	16	is	be	AUX
cord-186927-b8i85vo7	492	17	endowed	endow	VERB
cord-186927-b8i85vo7	492	18	with	with	ADP
cord-186927-b8i85vo7	492	19	the	the	DET
cord-186927-b8i85vo7	492	20	topology	topology	NOUN
cord-186927-b8i85vo7	492	21	of	of	ADP
cord-186927-b8i85vo7	492	22	weak	weak	ADJ
cord-186927-b8i85vo7	492	23	convergence	convergence	NOUN
cord-186927-b8i85vo7	492	24	.	.	PUNCT
cord-186927-b8i85vo7	493	1	we	we	PRON
cord-186927-b8i85vo7	493	2	then	then	ADV
cord-186927-b8i85vo7	493	3	define	define	VERB
cord-186927-b8i85vo7	493	4	the	the	DET
cord-186927-b8i85vo7	493	5	following	follow	VERB
cord-186927-b8i85vo7	493	6	canonical	canonical	ADJ
cord-186927-b8i85vo7	493	7	space	space	NOUN
cord-186927-b8i85vo7	493	8	ω	ω	PROPN
cord-186927-b8i85vo7	494	1	:	:	PUNCT
cord-186927-b8i85vo7	494	2	=	=	SYM
cord-186927-b8i85vo7	494	3	c	c	NOUN
cord-186927-b8i85vo7	494	4	2	2	NUM
cord-186927-b8i85vo7	494	5	×	×	NOUN
cord-186927-b8i85vo7	494	6	a	a	PRON
cord-186927-b8i85vo7	494	7	,	,	PUNCT
cord-186927-b8i85vo7	494	8	whose	whose	DET
cord-186927-b8i85vo7	494	9	canonical	canonical	ADJ
cord-186927-b8i85vo7	494	10	process	process	NOUN
cord-186927-b8i85vo7	494	11	is	be	AUX
cord-186927-b8i85vo7	494	12	denoted	denote	VERB
cord-186927-b8i85vo7	494	13	by	by	ADP
cord-186927-b8i85vo7	494	14	(	(	PUNCT
cord-186927-b8i85vo7	494	15	s	s	PROPN
cord-186927-b8i85vo7	494	16	,	,	PUNCT
cord-186927-b8i85vo7	494	17	i	i	PROPN
cord-186927-b8i85vo7	494	18	,	,	PUNCT
cord-186927-b8i85vo7	494	19	λ	λ	PROPN
cord-186927-b8i85vo7	494	20	)	)	PUNCT
cord-186927-b8i85vo7	494	21	,	,	PUNCT
cord-186927-b8i85vo7	494	22	in	in	ADP
cord-186927-b8i85vo7	494	23	the	the	DET
cord-186927-b8i85vo7	494	24	sense	sense	NOUN
cord-186927-b8i85vo7	494	25	that	that	PRON
cord-186927-b8i85vo7	494	26	s	s	VERB
cord-186927-b8i85vo7	494	27	t	t	PROPN
cord-186927-b8i85vo7	494	28	s	s	PROPN
cord-186927-b8i85vo7	494	29	,	,	PUNCT
cord-186927-b8i85vo7	494	30	ι	ι	PROPN
cord-186927-b8i85vo7	494	31	,	,	PUNCT
cord-186927-b8i85vo7	494	32	q	q	NOUN
cord-186927-b8i85vo7	494	33	:	:	PUNCT
cord-186927-b8i85vo7	494	34	=	=	NOUN
cord-186927-b8i85vo7	494	35	s(t	s(t	PROPN
cord-186927-b8i85vo7	494	36	)	)	PUNCT
cord-186927-b8i85vo7	494	37	,	,	PUNCT
cord-186927-b8i85vo7	494	38	i	i	PROPN
cord-186927-b8i85vo7	494	39	t	t	PROPN
cord-186927-b8i85vo7	494	40	s	s	PROPN
cord-186927-b8i85vo7	494	41	,	,	PUNCT
cord-186927-b8i85vo7	494	42	ι	ι	PROPN
cord-186927-b8i85vo7	494	43	,	,	PUNCT
cord-186927-b8i85vo7	494	44	q	q	X
cord-186927-b8i85vo7	494	45	:	:	PUNCT
cord-186927-b8i85vo7	494	46	=	=	NOUN
cord-186927-b8i85vo7	494	47	ι(t	ι(t	X
cord-186927-b8i85vo7	494	48	)	)	PUNCT
cord-186927-b8i85vo7	494	49	,	,	PUNCT
cord-186927-b8i85vo7	494	50	λ	λ	PROPN
cord-186927-b8i85vo7	494	51	s	s	PROPN
cord-186927-b8i85vo7	494	52	,	,	PUNCT
cord-186927-b8i85vo7	494	53	ι	ι	PROPN
cord-186927-b8i85vo7	494	54	,	,	PUNCT
cord-186927-b8i85vo7	494	55	q	q	X
cord-186927-b8i85vo7	494	56	:	:	PUNCT
cord-186927-b8i85vo7	494	57	=	=	NOUN
cord-186927-b8i85vo7	494	58	q	q	NOUN
cord-186927-b8i85vo7	494	59	,	,	PUNCT
cord-186927-b8i85vo7	494	60	∀	∀	PROPN
cord-186927-b8i85vo7	494	61	t	t	PROPN
cord-186927-b8i85vo7	494	62	,	,	PUNCT
cord-186927-b8i85vo7	494	63	s	s	PROPN
cord-186927-b8i85vo7	494	64	,	,	PUNCT
cord-186927-b8i85vo7	494	65	ι	ι	PROPN
cord-186927-b8i85vo7	494	66	,	,	PUNCT
cord-186927-b8i85vo7	494	67	q	q	NOUN
cord-186927-b8i85vo7	494	68	∈	∈	NOUN
cord-186927-b8i85vo7	494	69	[	[	X
cord-186927-b8i85vo7	494	70	0	0	NUM
cord-186927-b8i85vo7	494	71	,	,	PUNCT
cord-186927-b8i85vo7	494	72	t	t	NOUN
cord-186927-b8i85vo7	494	73	]	]	X
cord-186927-b8i85vo7	494	74	×	×	X
cord-186927-b8i85vo7	494	75	ω	ω	INTJ
cord-186927-b8i85vo7	494	76	.	.	PUNCT
cord-186927-b8i85vo7	495	1	we	we	PRON
cord-186927-b8i85vo7	495	2	let	let	VERB
cord-186927-b8i85vo7	495	3	f	f	PROPN
cord-186927-b8i85vo7	495	4	be	be	AUX
cord-186927-b8i85vo7	495	5	the	the	DET
cord-186927-b8i85vo7	495	6	borel	borel	PROPN
cord-186927-b8i85vo7	495	7	σ	σ	PROPN
cord-186927-b8i85vo7	495	8	-	-	PUNCT
cord-186927-b8i85vo7	495	9	algebra	algebra	NOUN
cord-186927-b8i85vo7	495	10	on	on	ADP
cord-186927-b8i85vo7	495	11	ω	ω	PROPN
cord-186927-b8i85vo7	495	12	,	,	PUNCT
cord-186927-b8i85vo7	495	13	and	and	CCONJ
cord-186927-b8i85vo7	495	14	f	f	X
cord-186927-b8i85vo7	495	15	:	:	PUNCT
cord-186927-b8i85vo7	495	16	=	=	PROPN
cord-186927-b8i85vo7	495	17	(	(	PUNCT
cord-186927-b8i85vo7	495	18	f	f	PROPN
cord-186927-b8i85vo7	495	19	t	t	PROPN
cord-186927-b8i85vo7	495	20	)	)	PUNCT
cord-186927-b8i85vo7	496	1	t∈[0,t	t∈[0,t	X
cord-186927-b8i85vo7	496	2	]	]	PUNCT
cord-186927-b8i85vo7	496	3	be	be	AUX
cord-186927-b8i85vo7	496	4	the	the	DET
cord-186927-b8i85vo7	496	5	natural	natural	ADJ
cord-186927-b8i85vo7	496	6	filtration	filtration	NOUN
cord-186927-b8i85vo7	496	7	of	of	ADP
cord-186927-b8i85vo7	496	8	the	the	DET
cord-186927-b8i85vo7	496	9	canonical	canonical	ADJ
cord-186927-b8i85vo7	496	10	process	process	NOUN
cord-186927-b8i85vo7	496	11	where	where	SCONJ
cord-186927-b8i85vo7	496	12	for	for	ADP
cord-186927-b8i85vo7	496	13	any	any	DET
cord-186927-b8i85vo7	496	14	(	(	PUNCT
cord-186927-b8i85vo7	496	15	s	s	PROPN
cord-186927-b8i85vo7	496	16	,	,	PUNCT
cord-186927-b8i85vo7	496	17	υ	υ	NOUN
cord-186927-b8i85vo7	496	18	)	)	PUNCT
cord-186927-b8i85vo7	496	19	recall	recall	VERB
cord-186927-b8i85vo7	496	20	that	that	SCONJ
cord-186927-b8i85vo7	496	21	in	in	ADP
cord-186927-b8i85vo7	496	22	this	this	DET
cord-186927-b8i85vo7	496	23	framework	framework	NOUN
cord-186927-b8i85vo7	496	24	f	f	PROPN
cord-186927-b8i85vo7	496	25	=	=	SYM
cord-186927-b8i85vo7	496	26	f	f	PROPN
cord-186927-b8i85vo7	496	27	t	t	PROPN
cord-186927-b8i85vo7	496	28	.	.	PUNCT
cord-186927-b8i85vo7	497	1	let	let	VERB
cord-186927-b8i85vo7	497	2	m	m	PUNCT
cord-186927-b8i85vo7	497	3	be	be	AUX
cord-186927-b8i85vo7	497	4	the	the	DET
cord-186927-b8i85vo7	497	5	set	set	NOUN
cord-186927-b8i85vo7	497	6	of	of	ADP
cord-186927-b8i85vo7	497	7	probability	probability	NOUN
cord-186927-b8i85vo7	497	8	measures	measure	NOUN
cord-186927-b8i85vo7	497	9	on	on	ADP
cord-186927-b8i85vo7	497	10	(	(	PUNCT
cord-186927-b8i85vo7	497	11	ω	ω	PROPN
cord-186927-b8i85vo7	497	12	,	,	PUNCT
cord-186927-b8i85vo7	497	13	f	f	PROPN
cord-186927-b8i85vo7	497	14	t	t	PROPN
cord-186927-b8i85vo7	497	15	)	)	PUNCT
cord-186927-b8i85vo7	497	16	.	.	PUNCT
cord-186927-b8i85vo7	498	1	for	for	ADP
cord-186927-b8i85vo7	498	2	any	any	DET
cord-186927-b8i85vo7	498	3	p	p	NOUN
cord-186927-b8i85vo7	498	4	∈	∈	PROPN
cord-186927-b8i85vo7	498	5	m	m	PUNCT
cord-186927-b8i85vo7	498	6	,	,	PUNCT
cord-186927-b8i85vo7	498	7	we	we	PRON
cord-186927-b8i85vo7	498	8	let	let	VERB
cord-186927-b8i85vo7	498	9	n	n	NOUN
cord-186927-b8i85vo7	498	10	p	p	NOUN
cord-186927-b8i85vo7	498	11	be	be	AUX
cord-186927-b8i85vo7	498	12	the	the	DET
cord-186927-b8i85vo7	498	13	collection	collection	NOUN
cord-186927-b8i85vo7	498	14	of	of	ADP
cord-186927-b8i85vo7	498	15	all	all	DET
cord-186927-b8i85vo7	498	16	p	p	PROPN
cord-186927-b8i85vo7	498	17	-	-	PUNCT
cord-186927-b8i85vo7	498	18	null	null	ADJ
cord-186927-b8i85vo7	498	19	sets	set	NOUN
cord-186927-b8i85vo7	498	20	,	,	PUNCT
cord-186927-b8i85vo7	498	21	that	that	PRON
cord-186927-b8i85vo7	498	22	is	be	AUX
cord-186927-b8i85vo7	498	23	to	to	PART
cord-186927-b8i85vo7	498	24	say	say	VERB
cord-186927-b8i85vo7	498	25	where	where	SCONJ
cord-186927-b8i85vo7	498	26	we	we	PRON
cord-186927-b8i85vo7	498	27	recall	recall	VERB
cord-186927-b8i85vo7	498	28	that	that	SCONJ
cord-186927-b8i85vo7	498	29	2	2	NUM
cord-186927-b8i85vo7	498	30	ω	ω	NOUN
cord-186927-b8i85vo7	498	31	represents	represent	VERB
cord-186927-b8i85vo7	498	32	the	the	DET
cord-186927-b8i85vo7	498	33	set	set	NOUN
cord-186927-b8i85vo7	498	34	of	of	ADP
cord-186927-b8i85vo7	498	35	all	all	DET
cord-186927-b8i85vo7	498	36	subsets	subset	NOUN
cord-186927-b8i85vo7	498	37	of	of	ADP
cord-186927-b8i85vo7	498	38	ω	ω	PROPN
cord-186927-b8i85vo7	498	39	,	,	PUNCT
cord-186927-b8i85vo7	498	40	and	and	CCONJ
cord-186927-b8i85vo7	498	41	we	we	PRON
cord-186927-b8i85vo7	498	42	let	let	VERB
cord-186927-b8i85vo7	498	43	(	(	PUNCT
cord-186927-b8i85vo7	498	44	ii	ii	PROPN
cord-186927-b8i85vo7	498	45	)	)	PUNCT
cord-186927-b8i85vo7	498	46	p	p	PROPN
cord-186927-b8i85vo7	498	47	(	(	PUNCT
cord-186927-b8i85vo7	498	48	s	s	PROPN
cord-186927-b8i85vo7	498	49	0	0	NUM
cord-186927-b8i85vo7	498	50	,	,	PUNCT
cord-186927-b8i85vo7	498	51	i	i	PRON
cord-186927-b8i85vo7	498	52	0	0	PUNCT
cord-186927-b8i85vo7	498	53	)	)	PUNCT
cord-186927-b8i85vo7	499	1	=	=	PROPN
cord-186927-b8i85vo7	499	2	(	(	PUNCT
cord-186927-b8i85vo7	499	3	s	s	NOUN
cord-186927-b8i85vo7	499	4	0	0	NUM
cord-186927-b8i85vo7	499	5	,	,	PUNCT
cord-186927-b8i85vo7	499	6	i	i	PRON
cord-186927-b8i85vo7	499	7	0	0	PUNCT
cord-186927-b8i85vo7	499	8	)	)	PUNCT
cord-186927-b8i85vo7	500	1	=	=	SYM
cord-186927-b8i85vo7	500	2	1	1	NUM
cord-186927-b8i85vo7	500	3	;	;	PUNCT
cord-186927-b8i85vo7	500	4	(	(	PUNCT
cord-186927-b8i85vo7	500	5	iii	iii	NUM
cord-186927-b8i85vo7	500	6	)	)	PUNCT
cord-186927-b8i85vo7	500	7	with	with	ADP
cord-186927-b8i85vo7	500	8	p	p	PROPN
cord-186927-b8i85vo7	500	9	-	-	PUNCT
cord-186927-b8i85vo7	500	10	probability	probability	NOUN
cord-186927-b8i85vo7	500	11	1	1	NUM
cord-186927-b8i85vo7	500	12	,	,	PUNCT
cord-186927-b8i85vo7	500	13	the	the	DET
cord-186927-b8i85vo7	500	14	canonical	canonical	ADJ
cord-186927-b8i85vo7	500	15	process	process	NOUN
cord-186927-b8i85vo7	500	16	λ	λ	PROPN
cord-186927-b8i85vo7	500	17	is	be	AUX
cord-186927-b8i85vo7	500	18	of	of	ADP
cord-186927-b8i85vo7	500	19	the	the	DET
cord-186927-b8i85vo7	500	20	form	form	NOUN
cord-186927-b8i85vo7	500	21	δ	δ	PROPN
cord-186927-b8i85vo7	500	22	φ	φ	X
cord-186927-b8i85vo7	500	23	·	·	PUNCT
cord-186927-b8i85vo7	500	24	(	(	PUNCT
cord-186927-b8i85vo7	500	25	dv	dv	PROPN
cord-186927-b8i85vo7	500	26	)	)	PUNCT
cord-186927-b8i85vo7	500	27	for	for	ADP
cord-186927-b8i85vo7	500	28	some	some	DET
cord-186927-b8i85vo7	500	29	borel	borel	PROPN
cord-186927-b8i85vo7	500	30	function	function	NOUN
cord-186927-b8i85vo7	500	31	φ	φ	NOUN
cord-186927-b8i85vo7	500	32	:	:	PUNCT
cord-186927-b8i85vo7	501	1	[	[	X
cord-186927-b8i85vo7	501	2	0	0	NUM
cord-186927-b8i85vo7	501	3	,	,	PUNCT
cord-186927-b8i85vo7	501	4	t	t	NOUN
cord-186927-b8i85vo7	501	5	]	]	PUNCT
cord-186927-b8i85vo7	501	6	−→	−→	NOUN
cord-186927-b8i85vo7	501	7	a	a	PRON
cord-186927-b8i85vo7	501	8	,	,	PUNCT
cord-186927-b8i85vo7	501	9	where	where	SCONJ
cord-186927-b8i85vo7	501	10	as	as	ADP
cord-186927-b8i85vo7	501	11	usual	usual	ADJ
cord-186927-b8i85vo7	501	12	,	,	PUNCT
cord-186927-b8i85vo7	501	13	for	for	ADP
cord-186927-b8i85vo7	501	14	any	any	DET
cord-186927-b8i85vo7	501	15	a	a	DET
cord-186927-b8i85vo7	501	16	∈	∈	NOUN
cord-186927-b8i85vo7	501	17	a	a	NOUN
cord-186927-b8i85vo7	501	18	,	,	PUNCT
cord-186927-b8i85vo7	501	19	δ	δ	PROPN
cord-186927-b8i85vo7	501	20	a	a	PRON
cord-186927-b8i85vo7	501	21	is	be	AUX
cord-186927-b8i85vo7	501	22	the	the	DET
cord-186927-b8i85vo7	501	23	dirac	dirac	NOUN
cord-186927-b8i85vo7	501	24	mass	mass	NOUN
cord-186927-b8i85vo7	501	25	at	at	ADP
cord-186927-b8i85vo7	501	26	a.	a.	NOUN
cord-186927-b8i85vo7	501	27	we	we	PRON
cord-186927-b8i85vo7	501	28	can	can	AUX
cord-186927-b8i85vo7	501	29	follow	follow	VERB
cord-186927-b8i85vo7	501	30	bichteler	bichteler	NOUN
cord-186927-b8i85vo7	501	31	[	[	X
cord-186927-b8i85vo7	501	32	18	18	NUM
cord-186927-b8i85vo7	501	33	]	]	PUNCT
cord-186927-b8i85vo7	501	34	,	,	PUNCT
cord-186927-b8i85vo7	501	35	or	or	CCONJ
cord-186927-b8i85vo7	501	36	neufeld	neufeld	NOUN
cord-186927-b8i85vo7	501	37	and	and	CCONJ
cord-186927-b8i85vo7	501	38	nutz	nutz	ADJ
cord-186927-b8i85vo7	501	39	[	[	PUNCT
cord-186927-b8i85vo7	501	40	80	80	NUM
cord-186927-b8i85vo7	501	41	,	,	PUNCT
cord-186927-b8i85vo7	501	42	proposition	proposition	NOUN
cord-186927-b8i85vo7	501	43	6.6	6.6	NUM
cord-186927-b8i85vo7	501	44	]	]	PUNCT
cord-186927-b8i85vo7	501	45	to	to	PART
cord-186927-b8i85vo7	501	46	define	define	VERB
cord-186927-b8i85vo7	501	47	a	a	DET
cord-186927-b8i85vo7	501	48	pathwise	pathwise	ADJ
cord-186927-b8i85vo7	501	49	version	version	NOUN
cord-186927-b8i85vo7	501	50	of	of	ADP
cord-186927-b8i85vo7	501	51	the	the	DET
cord-186927-b8i85vo7	501	52	density	density	NOUN
cord-186927-b8i85vo7	501	53	of	of	ADP
cord-186927-b8i85vo7	501	54	the	the	DET
cord-186927-b8i85vo7	501	55	quadratic	quadratic	ADJ
cord-186927-b8i85vo7	501	56	variation	variation	NOUN
cord-186927-b8i85vo7	501	57	of	of	ADP
cord-186927-b8i85vo7	501	58	s	s	PROPN
cord-186927-b8i85vo7	501	59	,	,	PUNCT
cord-186927-b8i85vo7	501	60	denoted	denote	VERB
cord-186927-b8i85vo7	501	61	by	by	ADP
cord-186927-b8i85vo7	501	62	σ	σ	X
cord-186927-b8i85vo7	501	63	:	:	PUNCT
cord-186927-b8i85vo7	502	1	[	[	X
cord-186927-b8i85vo7	502	2	0	0	NUM
cord-186927-b8i85vo7	502	3	,	,	PUNCT
cord-186927-b8i85vo7	502	4	t	t	NOUN
cord-186927-b8i85vo7	502	5	]	]	X
cord-186927-b8i85vo7	502	6	×	×	X
cord-186927-b8i85vo7	502	7	ω	ω	X
cord-186927-b8i85vo7	503	1	−→	−→	NOUN
cord-186927-b8i85vo7	503	2	r	r	NOUN
cord-186927-b8i85vo7	503	3	,	,	PUNCT
cord-186927-b8i85vo7	503	4	by	by	ADP
cord-186927-b8i85vo7	503	5	10	10	NUM
cord-186927-b8i85vo7	503	6	notice	notice	NOUN
cord-186927-b8i85vo7	503	7	that	that	SCONJ
cord-186927-b8i85vo7	503	8	the	the	DET
cord-186927-b8i85vo7	503	9	initial	initial	ADJ
cord-186927-b8i85vo7	503	10	value	value	NOUN
cord-186927-b8i85vo7	503	11	of	of	ADP
cord-186927-b8i85vo7	503	12	r	r	NOUN
cord-186927-b8i85vo7	503	13	0	0	NUM
cord-186927-b8i85vo7	503	14	of	of	ADP
cord-186927-b8i85vo7	503	15	r	r	NOUN
cord-186927-b8i85vo7	503	16	,	,	PUNCT
cord-186927-b8i85vo7	503	17	which	which	PRON
cord-186927-b8i85vo7	503	18	appears	appear	VERB
cord-186927-b8i85vo7	503	19	in	in	ADP
cord-186927-b8i85vo7	503	20	the	the	DET
cord-186927-b8i85vo7	503	21	sir	sir	PROPN
cord-186927-b8i85vo7	503	22	version	version	NOUN
cord-186927-b8i85vo7	503	23	of	of	ADP
cord-186927-b8i85vo7	503	24	the	the	DET
cord-186927-b8i85vo7	503	25	model	model	NOUN
cord-186927-b8i85vo7	503	26	,	,	PUNCT
cord-186927-b8i85vo7	503	27	is	be	AUX
cord-186927-b8i85vo7	503	28	irrelevant	irrelevant	ADJ
cord-186927-b8i85vo7	503	29	at	at	ADP
cord-186927-b8i85vo7	503	30	this	this	DET
cord-186927-b8i85vo7	503	31	stage	stage	NOUN
cord-186927-b8i85vo7	503	32	.	.	PUNCT
cord-186927-b8i85vo7	504	1	lévy	lévy	PROPN
cord-186927-b8i85vo7	504	2	's	's	PART
cord-186927-b8i85vo7	504	3	characterisation	characterisation	NOUN
cord-186927-b8i85vo7	504	4	of	of	ADP
cord-186927-b8i85vo7	504	5	brownian	brownian	ADJ
cord-186927-b8i85vo7	504	6	motion	motion	NOUN
cord-186927-b8i85vo7	504	7	ensures	ensure	VERB
cord-186927-b8i85vo7	504	8	that	that	SCONJ
cord-186927-b8i85vo7	504	9	the	the	DET
cord-186927-b8i85vo7	504	10	process	process	NOUN
cord-186927-b8i85vo7	504	11	11	11	NUM
cord-186927-b8i85vo7	504	12	is	be	AUX
cord-186927-b8i85vo7	504	13	an	an	DET
cord-186927-b8i85vo7	504	14	(	(	PUNCT
cord-186927-b8i85vo7	504	15	f	f	PROPN
cord-186927-b8i85vo7	504	16	p	p	PROPN
cord-186927-b8i85vo7	504	17	,	,	PUNCT
cord-186927-b8i85vo7	504	18	p)-brownian	p)-brownian	ADJ
cord-186927-b8i85vo7	504	19	motion	motion	NOUN
cord-186927-b8i85vo7	504	20	for	for	ADP
cord-186927-b8i85vo7	504	21	any	any	DET
cord-186927-b8i85vo7	504	22	p	p	NOUN
cord-186927-b8i85vo7	504	23	∈	∈	NOUN
cord-186927-b8i85vo7	504	24	p.	p.	NOUN
cord-186927-b8i85vo7	504	25	for	for	ADP
cord-186927-b8i85vo7	504	26	any	any	DET
cord-186927-b8i85vo7	504	27	p	p	NOUN
cord-186927-b8i85vo7	504	28	∈	∈	NOUN
cord-186927-b8i85vo7	504	29	p	p	NOUN
cord-186927-b8i85vo7	504	30	,	,	PUNCT
cord-186927-b8i85vo7	504	31	we	we	PRON
cord-186927-b8i85vo7	504	32	denote	denote	VERB
cord-186927-b8i85vo7	504	33	by	by	ADP
cord-186927-b8i85vo7	504	34	a	a	DET
cord-186927-b8i85vo7	504	35	o	o	PROPN
cord-186927-b8i85vo7	504	36	(	(	PUNCT
cord-186927-b8i85vo7	504	37	p	p	NOUN
cord-186927-b8i85vo7	504	38	)	)	PUNCT
cord-186927-b8i85vo7	504	39	the	the	DET
cord-186927-b8i85vo7	504	40	set	set	NOUN
cord-186927-b8i85vo7	504	41	of	of	ADP
cord-186927-b8i85vo7	504	42	f	f	NOUN
cord-186927-b8i85vo7	504	43	-	-	PUNCT
cord-186927-b8i85vo7	504	44	predictable	predictable	ADJ
cord-186927-b8i85vo7	504	45	and	and	CCONJ
cord-186927-b8i85vo7	504	46	a	a	PRON
cord-186927-b8i85vo7	504	47	-	-	PUNCT
cord-186927-b8i85vo7	504	48	valued	value	VERB
cord-186927-b8i85vo7	504	49	process	process	NOUN
cord-186927-b8i85vo7	504	50	α	α	PROPN
cord-186927-b8i85vo7	504	51	:	:	PUNCT
cord-186927-b8i85vo7	504	52	=	=	PROPN
cord-186927-b8i85vo7	504	53	(	(	PUNCT
cord-186927-b8i85vo7	504	54	α	α	PROPN
cord-186927-b8i85vo7	504	55	s	s	PROPN
cord-186927-b8i85vo7	504	56	)	)	PUNCT
cord-186927-b8i85vo7	504	57	s∈[0,t	s∈[0,t	VERB
cord-186927-b8i85vo7	504	58	]	]	PUNCT
cord-186927-b8i85vo7	504	59	such	such	ADJ
cord-186927-b8i85vo7	504	60	that	that	PRON
cord-186927-b8i85vo7	504	61	,	,	PUNCT
cord-186927-b8i85vo7	504	62	p	p	PROPN
cord-186927-b8i85vo7	504	63	-	-	PUNCT
cord-186927-b8i85vo7	504	64	a.s	a.s	PROPN
cord-186927-b8i85vo7	504	65	.	.	PUNCT
cord-186927-b8i85vo7	505	1	we	we	PRON
cord-186927-b8i85vo7	505	2	recall	recall	VERB
cord-186927-b8i85vo7	505	3	that	that	SCONJ
cord-186927-b8i85vo7	505	4	the	the	DET
cord-186927-b8i85vo7	505	5	term	term	NOUN
cord-186927-b8i85vo7	505	6	λ	λ	PROPN
cord-186927-b8i85vo7	505	7	≥	≥	PROPN
cord-186927-b8i85vo7	505	8	0	0	PUNCT
cord-186927-b8i85vo7	505	9	denotes	denote	VERB
cord-186927-b8i85vo7	505	10	the	the	DET
cord-186927-b8i85vo7	505	11	birth	birth	NOUN
cord-186927-b8i85vo7	505	12	rate	rate	NOUN
cord-186927-b8i85vo7	505	13	,	,	PUNCT
cord-186927-b8i85vo7	505	14	the	the	DET
cord-186927-b8i85vo7	505	15	parameter	parameter	NOUN
cord-186927-b8i85vo7	505	16	µ	µ	PROPN
cord-186927-b8i85vo7	505	17	≥	≥	NOUN
cord-186927-b8i85vo7	505	18	0	0	NUM
cord-186927-b8i85vo7	505	19	is	be	AUX
cord-186927-b8i85vo7	505	20	the	the	DET
cord-186927-b8i85vo7	505	21	natural	natural	ADJ
cord-186927-b8i85vo7	505	22	death	death	NOUN
cord-186927-b8i85vo7	505	23	rate	rate	NOUN
cord-186927-b8i85vo7	505	24	in	in	ADP
cord-186927-b8i85vo7	505	25	the	the	DET
cord-186927-b8i85vo7	505	26	population	population	NOUN
cord-186927-b8i85vo7	505	27	(	(	PUNCT
cord-186927-b8i85vo7	505	28	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	505	29	and	and	CCONJ
cord-186927-b8i85vo7	505	30	infected	infect	VERB
cord-186927-b8i85vo7	505	31	)	)	PUNCT
cord-186927-b8i85vo7	505	32	,	,	PUNCT
cord-186927-b8i85vo7	505	33	γ	γ	NOUN
cord-186927-b8i85vo7	505	34	≥	≥	NOUN
cord-186927-b8i85vo7	505	35	0	0	NUM
cord-186927-b8i85vo7	505	36	is	be	AUX
cord-186927-b8i85vo7	505	37	the	the	DET
cord-186927-b8i85vo7	505	38	death	death	NOUN
cord-186927-b8i85vo7	505	39	rate	rate	NOUN
cord-186927-b8i85vo7	505	40	inside	inside	ADP
cord-186927-b8i85vo7	505	41	the	the	DET
cord-186927-b8i85vo7	505	42	infected	infected	ADJ
cord-186927-b8i85vo7	505	43	population	population	NOUN
cord-186927-b8i85vo7	505	44	.	.	PUNCT
cord-186927-b8i85vo7	506	1	the	the	DET
cord-186927-b8i85vo7	506	2	parameters	parameter	NOUN
cord-186927-b8i85vo7	506	3	ν	ν	PROPN
cord-186927-b8i85vo7	506	4	and	and	CCONJ
cord-186927-b8i85vo7	506	5	ρ	ρ	NOUN
cord-186927-b8i85vo7	506	6	correspond	correspond	VERB
cord-186927-b8i85vo7	506	7	to	to	ADP
cord-186927-b8i85vo7	506	8	recovery	recovery	NOUN
cord-186927-b8i85vo7	506	9	rates	rate	NOUN
cord-186927-b8i85vo7	506	10	,	,	PUNCT
cord-186927-b8i85vo7	506	11	depending	depend	VERB
cord-186927-b8i85vo7	506	12	on	on	ADP
cord-186927-b8i85vo7	506	13	whether	whether	SCONJ
cord-186927-b8i85vo7	506	14	we	we	PRON
cord-186927-b8i85vo7	506	15	are	be	AUX
cord-186927-b8i85vo7	506	16	considering	consider	VERB
cord-186927-b8i85vo7	506	17	a	a	DET
cord-186927-b8i85vo7	506	18	sis	sis	NOUN
cord-186927-b8i85vo7	506	19	or	or	CCONJ
cord-186927-b8i85vo7	506	20	a	a	DET
cord-186927-b8i85vo7	506	21	sir	sir	PROPN
cord-186927-b8i85vo7	506	22	model	model	NOUN
cord-186927-b8i85vo7	506	23	,	,	PUNCT
cord-186927-b8i85vo7	506	24	see	see	VERB
cord-186927-b8i85vo7	506	25	the	the	DET
cord-186927-b8i85vo7	506	26	remark	remark	NOUN
cord-186927-b8i85vo7	506	27	below	below	ADV
cord-186927-b8i85vo7	506	28	for	for	ADP
cord-186927-b8i85vo7	506	29	more	more	ADJ
cord-186927-b8i85vo7	506	30	details	detail	NOUN
cord-186927-b8i85vo7	506	31	.	.	PUNCT
cord-186927-b8i85vo7	507	1	(	(	PUNCT
cord-186927-b8i85vo7	507	2	i	i	NOUN
cord-186927-b8i85vo7	507	3	)	)	PUNCT
cord-186927-b8i85vo7	507	4	if	if	SCONJ
cord-186927-b8i85vo7	507	5	ρ	ρ	X
cord-186927-b8i85vo7	507	6	=	=	NOUN
cord-186927-b8i85vo7	507	7	0	0	NUM
cord-186927-b8i85vo7	507	8	,	,	PUNCT
cord-186927-b8i85vo7	507	9	the	the	DET
cord-186927-b8i85vo7	507	10	constant	constant	ADJ
cord-186927-b8i85vo7	507	11	ν	ν	NOUN
cord-186927-b8i85vo7	507	12	≥	≥	NOUN
cord-186927-b8i85vo7	507	13	0	0	NUM
cord-186927-b8i85vo7	507	14	is	be	AUX
cord-186927-b8i85vo7	507	15	the	the	DET
cord-186927-b8i85vo7	507	16	rate	rate	NOUN
cord-186927-b8i85vo7	507	17	of	of	ADP
cord-186927-b8i85vo7	507	18	recovery	recovery	NOUN
cord-186927-b8i85vo7	507	19	for	for	ADP
cord-186927-b8i85vo7	507	20	infected	infected	ADJ
cord-186927-b8i85vo7	507	21	people	people	NOUN
cord-186927-b8i85vo7	507	22	,	,	PUNCT
cord-186927-b8i85vo7	507	23	going	go	VERB
cord-186927-b8i85vo7	507	24	back	back	ADV
cord-186927-b8i85vo7	507	25	in	in	ADP
cord-186927-b8i85vo7	507	26	the	the	DET
cord-186927-b8i85vo7	507	27	class	class	NOUN
cord-186927-b8i85vo7	507	28	of	of	ADP
cord-186927-b8i85vo7	507	29	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	507	30	.	.	PUNCT
cord-186927-b8i85vo7	508	1	this	this	DET
cord-186927-b8i85vo7	508	2	case	case	NOUN
cord-186927-b8i85vo7	508	3	corresponds	correspond	VERB
cord-186927-b8i85vo7	508	4	to	to	ADP
cord-186927-b8i85vo7	508	5	the	the	DET
cord-186927-b8i85vo7	508	6	classical	classical	ADJ
cord-186927-b8i85vo7	508	7	sis	sis	NOUN
cord-186927-b8i85vo7	508	8	model	model	NOUN
cord-186927-b8i85vo7	508	9	whose	whose	DET
cord-186927-b8i85vo7	508	10	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	508	11	are	be	AUX
cord-186927-b8i85vo7	508	12	described	describe	VERB
cord-186927-b8i85vo7	508	13	by	by	ADP
cord-186927-b8i85vo7	508	14	the	the	DET
cord-186927-b8i85vo7	508	15	system	system	NOUN
cord-186927-b8i85vo7	508	16	(	(	PUNCT
cord-186927-b8i85vo7	508	17	2.3	2.3	NUM
cord-186927-b8i85vo7	508	18	)	)	PUNCT
cord-186927-b8i85vo7	508	19	;	;	PUNCT
cord-186927-b8i85vo7	508	20	(	(	PUNCT
cord-186927-b8i85vo7	508	21	ii	ii	PROPN
cord-186927-b8i85vo7	508	22	)	)	PUNCT
cord-186927-b8i85vo7	508	23	if	if	SCONJ
cord-186927-b8i85vo7	508	24	ν	ν	PROPN
cord-186927-b8i85vo7	508	25	=	=	NOUN
cord-186927-b8i85vo7	508	26	0	0	NUM
cord-186927-b8i85vo7	508	27	,	,	PUNCT
cord-186927-b8i85vo7	508	28	the	the	DET
cord-186927-b8i85vo7	508	29	constant	constant	ADJ
cord-186927-b8i85vo7	508	30	ρ	ρ	NOUN
cord-186927-b8i85vo7	508	31	≥	≥	NOUN
cord-186927-b8i85vo7	508	32	0	0	NUM
cord-186927-b8i85vo7	508	33	is	be	AUX
cord-186927-b8i85vo7	508	34	the	the	DET
cord-186927-b8i85vo7	508	35	recovery	recovery	NOUN
cord-186927-b8i85vo7	508	36	rate	rate	NOUN
cord-186927-b8i85vo7	508	37	for	for	ADP
cord-186927-b8i85vo7	508	38	infected	infected	ADJ
cord-186927-b8i85vo7	508	39	individual	individual	NOUN
cord-186927-b8i85vo7	508	40	,	,	PUNCT
cord-186927-b8i85vo7	508	41	going	go	VERB
cord-186927-b8i85vo7	508	42	into	into	ADP
cord-186927-b8i85vo7	508	43	a	a	DET
cord-186927-b8i85vo7	508	44	class	class	NOUN
cord-186927-b8i85vo7	508	45	of	of	ADP
cord-186927-b8i85vo7	508	46	recovered	recovered	ADJ
cord-186927-b8i85vo7	508	47	people	people	NOUN
cord-186927-b8i85vo7	508	48	,	,	PUNCT
cord-186927-b8i85vo7	508	49	whose	whose	DET
cord-186927-b8i85vo7	508	50	proportion	proportion	NOUN
cord-186927-b8i85vo7	508	51	is	be	AUX
cord-186927-b8i85vo7	508	52	denoted	denote	VERB
cord-186927-b8i85vo7	508	53	by	by	ADP
cord-186927-b8i85vo7	508	54	r.	r.	PROPN
cord-186927-b8i85vo7	508	55	this	this	DET
cord-186927-b8i85vo7	508	56	case	case	NOUN
cord-186927-b8i85vo7	508	57	corresponds	correspond	VERB
cord-186927-b8i85vo7	508	58	to	to	ADP
cord-186927-b8i85vo7	508	59	the	the	DET
cord-186927-b8i85vo7	508	60	classical	classical	ADJ
cord-186927-b8i85vo7	508	61	sir	sir	NOUN
cord-186927-b8i85vo7	508	62	model	model	NOUN
cord-186927-b8i85vo7	508	63	described	describe	VERB
cord-186927-b8i85vo7	508	64	by	by	ADP
cord-186927-b8i85vo7	508	65	(	(	PUNCT
cord-186927-b8i85vo7	508	66	2.4	2.4	NUM
cord-186927-b8i85vo7	508	67	)	)	PUNCT
cord-186927-b8i85vo7	508	68	.	.	PUNCT
cord-186927-b8i85vo7	509	1	it	it	PRON
cord-186927-b8i85vo7	509	2	can	can	AUX
cord-186927-b8i85vo7	509	3	be	be	AUX
cord-186927-b8i85vo7	509	4	noted	note	VERB
cord-186927-b8i85vo7	509	5	that	that	SCONJ
cord-186927-b8i85vo7	509	6	our	our	PRON
cord-186927-b8i85vo7	509	7	model	model	NOUN
cord-186927-b8i85vo7	509	8	,	,	PUNCT
cord-186927-b8i85vo7	509	9	which	which	PRON
cord-186927-b8i85vo7	509	10	results	result	VERB
cord-186927-b8i85vo7	509	11	from	from	ADP
cord-186927-b8i85vo7	509	12	a	a	DET
cord-186927-b8i85vo7	509	13	mixing	mixing	NOUN
cord-186927-b8i85vo7	509	14	of	of	ADP
cord-186927-b8i85vo7	509	15	the	the	DET
cord-186927-b8i85vo7	509	16	sis	sis	NOUN
cord-186927-b8i85vo7	509	17	and	and	CCONJ
cord-186927-b8i85vo7	509	18	sir	sir	NOUN
cord-186927-b8i85vo7	509	19	models	model	NOUN
cord-186927-b8i85vo7	509	20	,	,	PUNCT
cord-186927-b8i85vo7	509	21	can	can	AUX
cord-186927-b8i85vo7	509	22	be	be	AUX
cord-186927-b8i85vo7	509	23	interpreted	interpret	VERB
cord-186927-b8i85vo7	509	24	as	as	ADP
cord-186927-b8i85vo7	509	25	an	an	DET
cord-186927-b8i85vo7	509	26	sir	sir	NOUN
cord-186927-b8i85vo7	509	27	model	model	NOUN
cord-186927-b8i85vo7	509	28	with	with	ADP
cord-186927-b8i85vo7	509	29	partial	partial	ADJ
cord-186927-b8i85vo7	509	30	immunisation	immunisation	NOUN
cord-186927-b8i85vo7	509	31	,	,	PUNCT
cord-186927-b8i85vo7	509	32	in	in	ADP
cord-186927-b8i85vo7	509	33	the	the	DET
cord-186927-b8i85vo7	509	34	sense	sense	NOUN
cord-186927-b8i85vo7	509	35	that	that	SCONJ
cord-186927-b8i85vo7	509	36	only	only	ADV
cord-186927-b8i85vo7	509	37	a	a	DET
cord-186927-b8i85vo7	509	38	part	part	NOUN
cord-186927-b8i85vo7	509	39	of	of	ADP
cord-186927-b8i85vo7	509	40	the	the	DET
cord-186927-b8i85vo7	509	41	population	population	NOUN
cord-186927-b8i85vo7	509	42	develops	develop	VERB
cord-186927-b8i85vo7	509	43	antibodies	antibody	NOUN
cord-186927-b8i85vo7	509	44	for	for	ADP
cord-186927-b8i85vo7	509	45	the	the	DET
cord-186927-b8i85vo7	509	46	disease	disease	NOUN
cord-186927-b8i85vo7	509	47	after	after	ADP
cord-186927-b8i85vo7	509	48	being	be	AUX
cord-186927-b8i85vo7	509	49	infected	infect	VERB
cord-186927-b8i85vo7	509	50	.	.	PUNCT
cord-186927-b8i85vo7	510	1	thus	thus	ADV
cord-186927-b8i85vo7	510	2	,	,	PUNCT
cord-186927-b8i85vo7	510	3	a	a	DET
cord-186927-b8i85vo7	510	4	proportion	proportion	NOUN
cord-186927-b8i85vo7	510	5	ρ	ρ	NOUN
cord-186927-b8i85vo7	510	6	of	of	ADP
cord-186927-b8i85vo7	510	7	the	the	DET
cord-186927-b8i85vo7	510	8	infected	infect	VERB
cord-186927-b8i85vo7	510	9	moves	move	NOUN
cord-186927-b8i85vo7	510	10	to	to	ADP
cord-186927-b8i85vo7	510	11	the	the	DET
cord-186927-b8i85vo7	510	12	class	class	NOUN
cord-186927-b8i85vo7	510	13	r	r	NOUN
cord-186927-b8i85vo7	510	14	,	,	PUNCT
cord-186927-b8i85vo7	510	15	and	and	CCONJ
cord-186927-b8i85vo7	510	16	can	can	AUX
cord-186927-b8i85vo7	510	17	no	no	ADV
cord-186927-b8i85vo7	510	18	longer	long	ADV
cord-186927-b8i85vo7	510	19	be	be	AUX
cord-186927-b8i85vo7	510	20	infected	infect	VERB
cord-186927-b8i85vo7	510	21	.	.	PUNCT
cord-186927-b8i85vo7	511	1	conversely	conversely	ADV
cord-186927-b8i85vo7	511	2	,	,	PUNCT
cord-186927-b8i85vo7	511	3	the	the	DET
cord-186927-b8i85vo7	511	4	proportion	proportion	NOUN
cord-186927-b8i85vo7	511	5	of	of	ADP
cord-186927-b8i85vo7	511	6	the	the	DET
cord-186927-b8i85vo7	511	7	infected	infect	VERB
cord-186927-b8i85vo7	511	8	who	who	PRON
cord-186927-b8i85vo7	511	9	do	do	AUX
cord-186927-b8i85vo7	511	10	not	not	PART
cord-186927-b8i85vo7	511	11	develop	develop	VERB
cord-186927-b8i85vo7	511	12	antibodies	antibody	NOUN
cord-186927-b8i85vo7	511	13	reverts	revert	NOUN
cord-186927-b8i85vo7	511	14	to	to	ADP
cord-186927-b8i85vo7	511	15	the	the	DET
cord-186927-b8i85vo7	511	16	class	class	NOUN
cord-186927-b8i85vo7	511	17	s	s	PROPN
cord-186927-b8i85vo7	511	18	,	,	PUNCT
cord-186927-b8i85vo7	511	19	and	and	CCONJ
cord-186927-b8i85vo7	511	20	can	can	AUX
cord-186927-b8i85vo7	511	21	therefore	therefore	ADV
cord-186927-b8i85vo7	511	22	contract	contract	VERB
cord-186927-b8i85vo7	511	23	the	the	DET
cord-186927-b8i85vo7	511	24	disease	disease	NOUN
cord-186927-b8i85vo7	511	25	again	again	ADV
cord-186927-b8i85vo7	511	26	.	.	PUNCT
cord-186927-b8i85vo7	512	1	this	this	DET
cord-186927-b8i85vo7	512	2	resulting	result	VERB
cord-186927-b8i85vo7	512	3	model	model	NOUN
cord-186927-b8i85vo7	512	4	is	be	AUX
cord-186927-b8i85vo7	512	5	similar	similar	ADJ
cord-186927-b8i85vo7	512	6	to	to	ADP
cord-186927-b8i85vo7	512	7	the	the	DET
cord-186927-b8i85vo7	512	8	one	one	NOUN
cord-186927-b8i85vo7	512	9	developed	develop	VERB
cord-186927-b8i85vo7	512	10	by	by	ADP
cord-186927-b8i85vo7	512	11	zhang	zhang	PROPN
cord-186927-b8i85vo7	512	12	,	,	PUNCT
cord-186927-b8i85vo7	512	13	wu	wu	PROPN
cord-186927-b8i85vo7	512	14	,	,	PUNCT
cord-186927-b8i85vo7	512	15	zhao	zhao	PROPN
cord-186927-b8i85vo7	512	16	,	,	PUNCT
cord-186927-b8i85vo7	512	17	su	su	PROPN
cord-186927-b8i85vo7	512	18	,	,	PUNCT
cord-186927-b8i85vo7	512	19	and	and	CCONJ
cord-186927-b8i85vo7	512	20	choi	choi	NOUN
cord-186927-b8i85vo7	512	21	[	[	X
cord-186927-b8i85vo7	512	22	111	111	NUM
cord-186927-b8i85vo7	512	23	]	]	PUNCT
cord-186927-b8i85vo7	512	24	and	and	CCONJ
cord-186927-b8i85vo7	512	25	called	call	VERB
cord-186927-b8i85vo7	512	26	sisrs	sisr	NOUN
cord-186927-b8i85vo7	512	27	.	.	PUNCT
cord-186927-b8i85vo7	513	1	this	this	DET
cord-186927-b8i85vo7	513	2	type	type	NOUN
cord-186927-b8i85vo7	513	3	of	of	ADP
cord-186927-b8i85vo7	513	4	model	model	NOUN
cord-186927-b8i85vo7	513	5	seems	seem	VERB
cord-186927-b8i85vo7	513	6	in	in	ADP
cord-186927-b8i85vo7	513	7	fact	fact	NOUN
cord-186927-b8i85vo7	513	8	well	well	ADV
cord-186927-b8i85vo7	513	9	suited	suited	ADJ
cord-186927-b8i85vo7	513	10	to	to	PART
cord-186927-b8i85vo7	513	11	model	model	VERB
cord-186927-b8i85vo7	513	12	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	513	13	related	relate	VERB
cord-186927-b8i85vo7	513	14	to	to	ADP
cord-186927-b8i85vo7	513	15	new	new	ADJ
cord-186927-b8i85vo7	513	16	viruses	virus	NOUN
cord-186927-b8i85vo7	513	17	,	,	PUNCT
cord-186927-b8i85vo7	513	18	such	such	ADJ
cord-186927-b8i85vo7	513	19	as	as	ADP
cord-186927-b8i85vo7	513	20	the	the	DET
cord-186927-b8i85vo7	513	21	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	513	22	,	,	PUNCT
cord-186927-b8i85vo7	513	23	when	when	SCONJ
cord-186927-b8i85vo7	513	24	the	the	DET
cord-186927-b8i85vo7	513	25	immunity	immunity	NOUN
cord-186927-b8i85vo7	513	26	of	of	ADP
cord-186927-b8i85vo7	513	27	infected	infected	ADJ
cord-186927-b8i85vo7	513	28	persons	person	NOUN
cord-186927-b8i85vo7	513	29	has	have	AUX
cord-186927-b8i85vo7	513	30	not	not	PART
cord-186927-b8i85vo7	513	31	yet	yet	ADV
cord-186927-b8i85vo7	513	32	been	be	AUX
cord-186927-b8i85vo7	513	33	proved	prove	VERB
cord-186927-b8i85vo7	513	34	.	.	PUNCT
cord-186927-b8i85vo7	514	1	before	before	ADP
cord-186927-b8i85vo7	514	2	pursuing	pursue	VERB
cord-186927-b8i85vo7	514	3	,	,	PUNCT
cord-186927-b8i85vo7	514	4	we	we	PRON
cord-186927-b8i85vo7	514	5	need	need	VERB
cord-186927-b8i85vo7	514	6	a	a	DET
cord-186927-b8i85vo7	514	7	bit	bit	NOUN
cord-186927-b8i85vo7	514	8	more	more	ADJ
cord-186927-b8i85vo7	514	9	notations	notation	NOUN
cord-186927-b8i85vo7	514	10	,	,	PUNCT
cord-186927-b8i85vo7	514	11	and	and	CCONJ
cord-186927-b8i85vo7	514	12	will	will	AUX
cord-186927-b8i85vo7	514	13	consider	consider	VERB
cord-186927-b8i85vo7	514	14	the	the	DET
cord-186927-b8i85vo7	514	15	following	follow	VERB
cord-186927-b8i85vo7	514	16	sets	set	NOUN
cord-186927-b8i85vo7	514	17	as	as	ADV
cord-186927-b8i85vo7	514	18	well	well	ADV
cord-186927-b8i85vo7	514	19	as	as	ADP
cord-186927-b8i85vo7	514	20	,	,	PUNCT
cord-186927-b8i85vo7	514	21	for	for	ADP
cord-186927-b8i85vo7	514	22	any	any	DET
cord-186927-b8i85vo7	514	23	α	α	PROPN
cord-186927-b8i85vo7	514	24	∈	∈	NOUN
cord-186927-b8i85vo7	514	25	a	a	DET
cord-186927-b8i85vo7	514	26	o	o	PROPN
cord-186927-b8i85vo7	514	27	,	,	PUNCT
cord-186927-b8i85vo7	514	28	p(α	p(α	PROPN
cord-186927-b8i85vo7	514	29	)	)	PUNCT
cord-186927-b8i85vo7	514	30	:	:	PUNCT
cord-186927-b8i85vo7	514	31	=	=	PROPN
cord-186927-b8i85vo7	514	32	p	p	X
cord-186927-b8i85vo7	514	33	∈	∈	NOUN
cord-186927-b8i85vo7	515	1	p	p	NOUN
cord-186927-b8i85vo7	515	2	:	:	PUNCT
cord-186927-b8i85vo7	515	3	α	α	PROPN
cord-186927-b8i85vo7	515	4	∈	∈	NOUN
cord-186927-b8i85vo7	515	5	a	a	DET
cord-186927-b8i85vo7	515	6	o	o	NOUN
cord-186927-b8i85vo7	516	1	(	(	PUNCT
cord-186927-b8i85vo7	516	2	p	p	NOUN
cord-186927-b8i85vo7	516	3	)	)	PUNCT
cord-186927-b8i85vo7	516	4	.	.	PUNCT
cord-186927-b8i85vo7	517	1	we	we	PRON
cord-186927-b8i85vo7	517	2	will	will	AUX
cord-186927-b8i85vo7	517	3	require	require	VERB
cord-186927-b8i85vo7	517	4	that	that	SCONJ
cord-186927-b8i85vo7	517	5	the	the	DET
cord-186927-b8i85vo7	517	6	controls	control	NOUN
cord-186927-b8i85vo7	517	7	chosen	choose	VERB
cord-186927-b8i85vo7	517	8	by	by	ADP
cord-186927-b8i85vo7	517	9	the	the	DET
cord-186927-b8i85vo7	517	10	government	government	NOUN
cord-186927-b8i85vo7	517	11	lead	lead	VERB
cord-186927-b8i85vo7	517	12	to	to	ADP
cord-186927-b8i85vo7	517	13	only	only	ADV
cord-186927-b8i85vo7	517	14	one	one	NUM
cord-186927-b8i85vo7	517	15	weak	weak	ADJ
cord-186927-b8i85vo7	517	16	solution	solution	NOUN
cord-186927-b8i85vo7	517	17	to	to	ADP
cord-186927-b8i85vo7	517	18	equation	equation	NOUN
cord-186927-b8i85vo7	517	19	(	(	PUNCT
cord-186927-b8i85vo7	517	20	4.2	4.2	NUM
cord-186927-b8i85vo7	517	21	)	)	PUNCT
cord-186927-b8i85vo7	517	22	,	,	PUNCT
cord-186927-b8i85vo7	517	23	and	and	CCONJ
cord-186927-b8i85vo7	517	24	are	be	AUX
cord-186927-b8i85vo7	517	25	such	such	ADJ
cord-186927-b8i85vo7	517	26	that	that	SCONJ
cord-186927-b8i85vo7	517	27	the	the	DET
cord-186927-b8i85vo7	517	28	processes	process	NOUN
cord-186927-b8i85vo7	517	29	s	s	NOUN
cord-186927-b8i85vo7	517	30	and	and	CCONJ
cord-186927-b8i85vo7	517	31	i	i	PRON
cord-186927-b8i85vo7	517	32	remain	remain	VERB
cord-186927-b8i85vo7	517	33	non	non	ADJ
cord-186927-b8i85vo7	517	34	-	-	ADJ
cord-186927-b8i85vo7	517	35	negative	negative	ADJ
cord-186927-b8i85vo7	517	36	.	.	PUNCT
cord-186927-b8i85vo7	518	1	we	we	PRON
cord-186927-b8i85vo7	518	2	will	will	AUX
cord-186927-b8i85vo7	518	3	therefore	therefore	ADV
cord-186927-b8i85vo7	518	4	concentrate	concentrate	VERB
cord-186927-b8i85vo7	518	5	our	our	PRON
cord-186927-b8i85vo7	518	6	attention	attention	NOUN
cord-186927-b8i85vo7	518	7	to	to	ADP
cord-186927-b8i85vo7	518	8	the	the	DET
cord-186927-b8i85vo7	518	9	set	set	NOUN
cord-186927-b8i85vo7	518	10	a	a	PRON
cord-186927-b8i85vo7	518	11	of	of	ADP
cord-186927-b8i85vo7	518	12	admissible	admissible	ADJ
cord-186927-b8i85vo7	518	13	controls	control	NOUN
cord-186927-b8i85vo7	518	14	defined	define	VERB
cord-186927-b8i85vo7	518	15	by	by	ADP
cord-186927-b8i85vo7	518	16	notice	notice	NOUN
cord-186927-b8i85vo7	518	17	that	that	SCONJ
cord-186927-b8i85vo7	518	18	for	for	ADP
cord-186927-b8i85vo7	518	19	any	any	DET
cord-186927-b8i85vo7	518	20	α	α	PROPN
cord-186927-b8i85vo7	518	21	∈	∈	PROPN
cord-186927-b8i85vo7	518	22	a	a	PRON
cord-186927-b8i85vo7	518	23	,	,	PUNCT
cord-186927-b8i85vo7	518	24	we	we	PRON
cord-186927-b8i85vo7	518	25	have	have	AUX
cord-186927-b8i85vo7	518	26	σ	σ	PROPN
cord-186927-b8i85vo7	518	27	t	t	PROPN
cord-186927-b8i85vo7	518	28	=	=	PROPN
cord-186927-b8i85vo7	518	29	σs	σs	X
cord-186927-b8i85vo7	518	30	t	t	PROPN
cord-186927-b8i85vo7	519	1	i	i	PRON
cord-186927-b8i85vo7	519	2	t	t	VERB
cord-186927-b8i85vo7	519	3	α	α	PROPN
cord-186927-b8i85vo7	519	4	t	t	PROPN
cord-186927-b8i85vo7	519	5	,	,	PUNCT
cord-186927-b8i85vo7	519	6	dp	dp	PROPN
cord-186927-b8i85vo7	519	7	α	α	PROPN
cord-186927-b8i85vo7	519	8	⊗	⊗	VERB
cord-186927-b8i85vo7	519	9	dt	dt	PROPN
cord-186927-b8i85vo7	519	10	-	-	PUNCT
cord-186927-b8i85vo7	519	11	a.e	a.e	PROPN
cord-186927-b8i85vo7	519	12	.	.	PROPN
cord-186927-b8i85vo7	519	13	11	11	NUM
cord-186927-b8i85vo7	519	14	more	more	ADV
cord-186927-b8i85vo7	519	15	precisely	precisely	ADV
cord-186927-b8i85vo7	519	16	,	,	PUNCT
cord-186927-b8i85vo7	519	17	one	one	PRON
cord-186927-b8i85vo7	519	18	should	should	AUX
cord-186927-b8i85vo7	519	19	first	first	ADV
cord-186927-b8i85vo7	519	20	use	use	VERB
cord-186927-b8i85vo7	519	21	the	the	DET
cord-186927-b8i85vo7	519	22	result	result	NOUN
cord-186927-b8i85vo7	519	23	of	of	ADP
cord-186927-b8i85vo7	519	24	stroock	stroock	PROPN
cord-186927-b8i85vo7	519	25	and	and	CCONJ
cord-186927-b8i85vo7	519	26	varadhan	varadhan	VERB
cord-186927-b8i85vo7	520	1	[	[	PUNCT
cord-186927-b8i85vo7	520	2	99	99	NUM
cord-186927-b8i85vo7	520	3	,	,	PUNCT
cord-186927-b8i85vo7	520	4	theorem	theorem	VERB
cord-186927-b8i85vo7	520	5	4.5.2	4.5.2	NUM
cord-186927-b8i85vo7	520	6	]	]	PUNCT
cord-186927-b8i85vo7	520	7	to	to	PART
cord-186927-b8i85vo7	520	8	obtain	obtain	VERB
cord-186927-b8i85vo7	520	9	that	that	PRON
cord-186927-b8i85vo7	520	10	on	on	ADP
cord-186927-b8i85vo7	520	11	an	an	DET
cord-186927-b8i85vo7	520	12	enlargement	enlargement	NOUN
cord-186927-b8i85vo7	520	13	of	of	ADP
cord-186927-b8i85vo7	520	14	(	(	PUNCT
cord-186927-b8i85vo7	520	15	ω	ω	PROPN
cord-186927-b8i85vo7	520	16	,	,	PUNCT
cord-186927-b8i85vo7	520	17	f	f	PROPN
cord-186927-b8i85vo7	520	18	t	t	PROPN
cord-186927-b8i85vo7	520	19	)	)	PUNCT
cord-186927-b8i85vo7	520	20	,	,	PUNCT
cord-186927-b8i85vo7	520	21	there	there	PRON
cord-186927-b8i85vo7	520	22	is	be	VERB
cord-186927-b8i85vo7	520	23	for	for	ADP
cord-186927-b8i85vo7	520	24	any	any	DET
cord-186927-b8i85vo7	520	25	p	p	NOUN
cord-186927-b8i85vo7	520	26	∈	∈	PROPN
cord-186927-b8i85vo7	520	27	p	p	PROPN
cord-186927-b8i85vo7	520	28	,	,	PUNCT
cord-186927-b8i85vo7	520	29	a	a	DET
cord-186927-b8i85vo7	520	30	brownian	brownian	ADJ
cord-186927-b8i85vo7	520	31	motion	motion	NOUN
cord-186927-b8i85vo7	520	32	w	w	PROPN
cord-186927-b8i85vo7	520	33	p	p	PROPN
cord-186927-b8i85vo7	520	34	,	,	PUNCT
cord-186927-b8i85vo7	520	35	and	and	CCONJ
cord-186927-b8i85vo7	520	36	an	an	DET
cord-186927-b8i85vo7	520	37	f	f	X
cord-186927-b8i85vo7	520	38	-	-	PUNCT
cord-186927-b8i85vo7	520	39	predictable	predictable	ADJ
cord-186927-b8i85vo7	520	40	process	process	NOUN
cord-186927-b8i85vo7	520	41	,	,	PUNCT
cord-186927-b8i85vo7	520	42	a	a	DET
cord-186927-b8i85vo7	520	43	-	-	PUNCT
cord-186927-b8i85vo7	520	44	valued	value	VERB
cord-186927-b8i85vo7	520	45	process	process	NOUN
cord-186927-b8i85vo7	520	46	α	α	PROPN
cord-186927-b8i85vo7	520	47	p	p	NOUN
cord-186927-b8i85vo7	520	48	such	such	ADJ
cord-186927-b8i85vo7	520	49	that	that	SCONJ
cord-186927-b8i85vo7	520	50	the	the	DET
cord-186927-b8i85vo7	520	51	result	result	NOUN
cord-186927-b8i85vo7	520	52	for	for	ADP
cord-186927-b8i85vo7	520	53	w	w	PROPN
cord-186927-b8i85vo7	520	54	is	be	AUX
cord-186927-b8i85vo7	520	55	then	then	ADV
cord-186927-b8i85vo7	520	56	immediate	immediate	ADJ
cord-186927-b8i85vo7	520	57	.	.	PUNCT
cord-186927-b8i85vo7	521	1	notice	notice	VERB
cord-186927-b8i85vo7	521	2	in	in	ADP
cord-186927-b8i85vo7	521	3	addition	addition	NOUN
cord-186927-b8i85vo7	521	4	that	that	SCONJ
cord-186927-b8i85vo7	521	5	since	since	SCONJ
cord-186927-b8i85vo7	521	6	w	w	PROPN
cord-186927-b8i85vo7	521	7	is	be	AUX
cord-186927-b8i85vo7	521	8	defined	define	VERB
cord-186927-b8i85vo7	521	9	as	as	ADP
cord-186927-b8i85vo7	521	10	a	a	DET
cord-186927-b8i85vo7	521	11	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	521	12	integral	integral	ADJ
cord-186927-b8i85vo7	521	13	,	,	PUNCT
cord-186927-b8i85vo7	521	14	it	it	PRON
cord-186927-b8i85vo7	521	15	should	should	AUX
cord-186927-b8i85vo7	521	16	also	also	ADV
cord-186927-b8i85vo7	521	17	depend	depend	VERB
cord-186927-b8i85vo7	521	18	on	on	ADP
cord-186927-b8i85vo7	521	19	explicitly	explicitly	ADV
cord-186927-b8i85vo7	521	20	on	on	ADP
cord-186927-b8i85vo7	521	21	p.	p.	NOUN
cord-186927-b8i85vo7	521	22	we	we	PRON
cord-186927-b8i85vo7	521	23	can	can	AUX
cord-186927-b8i85vo7	521	24	however	however	ADV
cord-186927-b8i85vo7	521	25	use	use	VERB
cord-186927-b8i85vo7	521	26	nutz	nutz	ADJ
cord-186927-b8i85vo7	521	27	[	[	PUNCT
cord-186927-b8i85vo7	521	28	notice	notice	VERB
cord-186927-b8i85vo7	521	29	finally	finally	ADV
cord-186927-b8i85vo7	521	30	that	that	SCONJ
cord-186927-b8i85vo7	521	31	for	for	ADP
cord-186927-b8i85vo7	521	32	any	any	DET
cord-186927-b8i85vo7	521	33	α	α	PROPN
cord-186927-b8i85vo7	521	34	∈	∈	PROPN
cord-186927-b8i85vo7	521	35	a	a	PRON
cord-186927-b8i85vo7	521	36	,	,	PUNCT
cord-186927-b8i85vo7	521	37	we	we	PRON
cord-186927-b8i85vo7	521	38	have	have	VERB
cord-186927-b8i85vo7	521	39	we	we	PRON
cord-186927-b8i85vo7	521	40	thus	thus	ADV
cord-186927-b8i85vo7	521	41	deduce	deduce	VERB
cord-186927-b8i85vo7	521	42	,	,	PUNCT
cord-186927-b8i85vo7	521	43	using	use	VERB
cord-186927-b8i85vo7	521	44	the	the	DET
cord-186927-b8i85vo7	521	45	positivity	positivity	NOUN
cord-186927-b8i85vo7	521	46	of	of	ADP
cord-186927-b8i85vo7	521	47	s	s	PROPN
cord-186927-b8i85vo7	521	48	and	and	CCONJ
cord-186927-b8i85vo7	521	49	i	i	PROPN
cord-186927-b8i85vo7	521	50	,	,	PUNCT
cord-186927-b8i85vo7	521	51	that	that	SCONJ
cord-186927-b8i85vo7	521	52	where	where	SCONJ
cord-186927-b8i85vo7	521	53	for	for	ADP
cord-186927-b8i85vo7	521	54	all	all	PRON
cord-186927-b8i85vo7	521	55	(	(	PUNCT
cord-186927-b8i85vo7	521	56	t	t	PROPN
cord-186927-b8i85vo7	521	57	,	,	PUNCT
cord-186927-b8i85vo7	521	58	s	s	PROPN
cord-186927-b8i85vo7	521	59	,	,	PUNCT
cord-186927-b8i85vo7	521	60	i	i	PROPN
cord-186927-b8i85vo7	521	61	)	)	PUNCT
cord-186927-b8i85vo7	521	62	this	this	DET
cord-186927-b8i85vo7	521	63	result	result	NOUN
cord-186927-b8i85vo7	521	64	proves	prove	VERB
cord-186927-b8i85vo7	521	65	in	in	ADP
cord-186927-b8i85vo7	521	66	particular	particular	ADJ
cord-186927-b8i85vo7	521	67	that	that	PRON
cord-186927-b8i85vo7	521	68	s	s	PRON
cord-186927-b8i85vo7	521	69	and	and	CCONJ
cord-186927-b8i85vo7	521	70	i	i	PRON
cord-186927-b8i85vo7	521	71	are	be	AUX
cord-186927-b8i85vo7	521	72	actually	actually	ADV
cord-186927-b8i85vo7	521	73	p	p	NOUN
cord-186927-b8i85vo7	521	74	α	α	PRON
cord-186927-b8i85vo7	521	75	-almost	-almost	PUNCT
cord-186927-b8i85vo7	521	76	surely	surely	ADV
cord-186927-b8i85vo7	521	77	bounded	bound	VERB
cord-186927-b8i85vo7	521	78	,	,	PUNCT
cord-186927-b8i85vo7	521	79	for	for	ADP
cord-186927-b8i85vo7	521	80	any	any	DET
cord-186927-b8i85vo7	521	81	α	α	PROPN
cord-186927-b8i85vo7	521	82	∈	∈	PROPN
cord-186927-b8i85vo7	521	83	a.	a.	NOUN
cord-186927-b8i85vo7	521	84	moreover	moreover	ADV
cord-186927-b8i85vo7	521	85	,	,	PUNCT
cord-186927-b8i85vo7	521	86	if	if	SCONJ
cord-186927-b8i85vo7	521	87	(	(	PUNCT
cord-186927-b8i85vo7	521	88	s	s	PROPN
cord-186927-b8i85vo7	521	89	0	0	NUM
cord-186927-b8i85vo7	521	90	,	,	PUNCT
cord-186927-b8i85vo7	521	91	i	i	PRON
cord-186927-b8i85vo7	521	92	0	0	PUNCT
cord-186927-b8i85vo7	521	93	)	)	PUNCT
cord-186927-b8i85vo7	522	1	∈	∈	NOUN
cord-186927-b8i85vo7	522	2	(	(	PUNCT
cord-186927-b8i85vo7	522	3	r	r	NOUN
cord-186927-b8i85vo7	522	4	+	+	PUNCT
cord-186927-b8i85vo7	522	5	)	)	PUNCT
cord-186927-b8i85vo7	522	6	2	2	NUM
cord-186927-b8i85vo7	522	7	,	,	PUNCT
cord-186927-b8i85vo7	522	8	then	then	ADV
cord-186927-b8i85vo7	522	9	for	for	ADP
cord-186927-b8i85vo7	522	10	all	all	DET
cord-186927-b8i85vo7	522	11	t	t	NOUN
cord-186927-b8i85vo7	522	12	∈	∈	NOUN
cord-186927-b8i85vo7	523	1	[	[	X
cord-186927-b8i85vo7	523	2	0	0	NUM
cord-186927-b8i85vo7	523	3	,	,	PUNCT
cord-186927-b8i85vo7	523	4	t	t	NOUN
cord-186927-b8i85vo7	523	5	]	]	PUNCT
cord-186927-b8i85vo7	523	6	,	,	PUNCT
cord-186927-b8i85vo7	523	7	both	both	PRON
cord-186927-b8i85vo7	523	8	s	s	VERB
cord-186927-b8i85vo7	523	9	t	t	PROPN
cord-186927-b8i85vo7	524	1	and	and	CCONJ
cord-186927-b8i85vo7	524	2	i	i	PRON
cord-186927-b8i85vo7	524	3	t	t	NOUN
cord-186927-b8i85vo7	524	4	are	be	AUX
cord-186927-b8i85vo7	524	5	(	(	PUNCT
cord-186927-b8i85vo7	524	6	strictly	strictly	ADV
cord-186927-b8i85vo7	524	7	)	)	PUNCT
cord-186927-b8i85vo7	524	8	positive	positive	ADJ
cord-186927-b8i85vo7	524	9	.	.	PUNCT
cord-186927-b8i85vo7	525	1	note	note	VERB
cord-186927-b8i85vo7	525	2	that	that	SCONJ
cord-186927-b8i85vo7	525	3	in	in	ADP
cord-186927-b8i85vo7	525	4	the	the	DET
cord-186927-b8i85vo7	525	5	sir	sir	PROPN
cord-186927-b8i85vo7	525	6	model	model	NOUN
cord-186927-b8i85vo7	525	7	described	describe	VERB
cord-186927-b8i85vo7	525	8	by	by	ADP
cord-186927-b8i85vo7	525	9	the	the	DET
cord-186927-b8i85vo7	525	10	system	system	NOUN
cord-186927-b8i85vo7	525	11	(	(	PUNCT
cord-186927-b8i85vo7	525	12	2.4	2.4	NUM
cord-186927-b8i85vo7	525	13	)	)	PUNCT
cord-186927-b8i85vo7	525	14	,	,	PUNCT
cord-186927-b8i85vo7	525	15	we	we	PRON
cord-186927-b8i85vo7	525	16	have	have	VERB
cord-186927-b8i85vo7	525	17	,	,	PUNCT
cord-186927-b8i85vo7	525	18	for	for	ADP
cord-186927-b8i85vo7	525	19	all	all	DET
cord-186927-b8i85vo7	525	20	t	t	NOUN
cord-186927-b8i85vo7	525	21	∈	∈	NOUN
cord-186927-b8i85vo7	525	22	[	[	X
cord-186927-b8i85vo7	525	23	0	0	NUM
cord-186927-b8i85vo7	525	24	,	,	PUNCT
cord-186927-b8i85vo7	525	25	t	t	NOUN
cord-186927-b8i85vo7	525	26	]	]	PUNCT
cord-186927-b8i85vo7	525	27	,	,	PUNCT
cord-186927-b8i85vo7	525	28	so	so	SCONJ
cord-186927-b8i85vo7	525	29	that	that	SCONJ
cord-186927-b8i85vo7	525	30	r	r	PROPN
cord-186927-b8i85vo7	525	31	t	t	PROPN
cord-186927-b8i85vo7	525	32	depends	depend	VERB
cord-186927-b8i85vo7	525	33	only	only	ADV
cord-186927-b8i85vo7	525	34	on	on	ADP
cord-186927-b8i85vo7	525	35	the	the	DET
cord-186927-b8i85vo7	525	36	observation	observation	NOUN
cord-186927-b8i85vo7	525	37	of	of	ADP
cord-186927-b8i85vo7	525	38	i	i	PRON
cord-186927-b8i85vo7	525	39	s	s	VERB
cord-186927-b8i85vo7	525	40	for	for	ADP
cord-186927-b8i85vo7	525	41	s	s	PROPN
cord-186927-b8i85vo7	525	42	≤	≤	PROPN
cord-186927-b8i85vo7	525	43	t.	t.	PROPN
cord-186927-b8i85vo7	525	44	in	in	ADP
cord-186927-b8i85vo7	525	45	addition	addition	NOUN
cord-186927-b8i85vo7	525	46	to	to	ADP
cord-186927-b8i85vo7	525	47	that	that	PRON
cord-186927-b8i85vo7	525	48	the	the	DET
cord-186927-b8i85vo7	525	49	basic	basic	ADJ
cord-186927-b8i85vo7	525	50	model	model	NOUN
cord-186927-b8i85vo7	525	51	from	from	ADP
cord-186927-b8i85vo7	525	52	(	(	PUNCT
cord-186927-b8i85vo7	525	53	4.2	4.2	NUM
cord-186927-b8i85vo7	525	54	)	)	PUNCT
cord-186927-b8i85vo7	525	55	takes	take	VERB
cord-186927-b8i85vo7	525	56	into	into	ADP
cord-186927-b8i85vo7	525	57	account	account	NOUN
cord-186927-b8i85vo7	525	58	the	the	DET
cord-186927-b8i85vo7	525	59	testing	testing	NOUN
cord-186927-b8i85vo7	525	60	policy	policy	NOUN
cord-186927-b8i85vo7	525	61	put	put	VERB
cord-186927-b8i85vo7	525	62	into	into	ADP
cord-186927-b8i85vo7	525	63	place	place	NOUN
cord-186927-b8i85vo7	525	64	by	by	ADP
cord-186927-b8i85vo7	525	65	the	the	DET
cord-186927-b8i85vo7	525	66	government	government	NOUN
cord-186927-b8i85vo7	525	67	,	,	PUNCT
cord-186927-b8i85vo7	525	68	but	but	CCONJ
cord-186927-b8i85vo7	525	69	ignores	ignore	VERB
cord-186927-b8i85vo7	525	70	so	so	ADV
cord-186927-b8i85vo7	525	71	far	far	ADV
cord-186927-b8i85vo7	525	72	the	the	DET
cord-186927-b8i85vo7	525	73	interacting	interact	VERB
cord-186927-b8i85vo7	525	74	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	525	75	of	of	ADP
cord-186927-b8i85vo7	525	76	the	the	DET
cord-186927-b8i85vo7	525	77	population	population	NOUN
cord-186927-b8i85vo7	525	78	.	.	PUNCT
cord-186927-b8i85vo7	526	1	we	we	PRON
cord-186927-b8i85vo7	526	2	model	model	VERB
cord-186927-b8i85vo7	526	3	this	this	PRON
cord-186927-b8i85vo7	526	4	through	through	ADP
cord-186927-b8i85vo7	526	5	an	an	DET
cord-186927-b8i85vo7	526	6	additional	additional	ADJ
cord-186927-b8i85vo7	526	7	control	control	NOUN
cord-186927-b8i85vo7	526	8	process	process	NOUN
cord-186927-b8i85vo7	526	9	chosen	choose	VERB
cord-186927-b8i85vo7	526	10	by	by	ADP
cord-186927-b8i85vo7	526	11	the	the	DET
cord-186927-b8i85vo7	526	12	population	population	NOUN
cord-186927-b8i85vo7	526	13	.	.	PUNCT
cord-186927-b8i85vo7	527	1	more	more	ADV
cord-186927-b8i85vo7	527	2	precisely	precisely	ADV
cord-186927-b8i85vo7	527	3	,	,	PUNCT
cord-186927-b8i85vo7	527	4	we	we	PRON
cord-186927-b8i85vo7	527	5	fix	fix	VERB
cord-186927-b8i85vo7	527	6	some	some	DET
cord-186927-b8i85vo7	527	7	constant	constant	ADJ
cord-186927-b8i85vo7	527	8	β	β	NOUN
cord-186927-b8i85vo7	527	9	max	max	X
cord-186927-b8i85vo7	527	10	>	>	X
cord-186927-b8i85vo7	527	11	0	0	NUM
cord-186927-b8i85vo7	527	12	representing	represent	VERB
cord-186927-b8i85vo7	527	13	the	the	DET
cord-186927-b8i85vo7	527	14	maximum	maximum	ADJ
cord-186927-b8i85vo7	527	15	rate	rate	NOUN
cord-186927-b8i85vo7	527	16	of	of	ADP
cord-186927-b8i85vo7	527	17	interaction	interaction	NOUN
cord-186927-b8i85vo7	527	18	that	that	PRON
cord-186927-b8i85vo7	527	19	can	can	AUX
cord-186927-b8i85vo7	527	20	be	be	AUX
cord-186927-b8i85vo7	527	21	considered	consider	VERB
cord-186927-b8i85vo7	527	22	,	,	PUNCT
cord-186927-b8i85vo7	527	23	and	and	CCONJ
cord-186927-b8i85vo7	527	24	we	we	PRON
cord-186927-b8i85vo7	527	25	define	define	VERB
cord-186927-b8i85vo7	527	26	b	b	X
cord-186927-b8i85vo7	527	27	:	:	PUNCT
cord-186927-b8i85vo7	527	28	=	=	NOUN
cord-186927-b8i85vo7	527	29	[	[	X
cord-186927-b8i85vo7	527	30	0	0	NUM
cord-186927-b8i85vo7	527	31	,	,	PUNCT
cord-186927-b8i85vo7	527	32	β	β	PROPN
cord-186927-b8i85vo7	527	33	max	max	PROPN
cord-186927-b8i85vo7	527	34	]	]	X
cord-186927-b8i85vo7	527	35	.	.	PUNCT
cord-186927-b8i85vo7	528	1	let	let	VERB
cord-186927-b8i85vo7	528	2	b	b	X
cord-186927-b8i85vo7	528	3	be	be	AUX
cord-186927-b8i85vo7	528	4	the	the	DET
cord-186927-b8i85vo7	528	5	set	set	NOUN
cord-186927-b8i85vo7	528	6	of	of	ADP
cord-186927-b8i85vo7	528	7	all	all	DET
cord-186927-b8i85vo7	528	8	f	f	NOUN
cord-186927-b8i85vo7	528	9	-	-	PUNCT
cord-186927-b8i85vo7	528	10	predictable	predictable	ADJ
cord-186927-b8i85vo7	528	11	and	and	CCONJ
cord-186927-b8i85vo7	528	12	b	b	NOUN
cord-186927-b8i85vo7	528	13	-	-	PUNCT
cord-186927-b8i85vo7	528	14	valued	value	VERB
cord-186927-b8i85vo7	528	15	processes	process	NOUN
cord-186927-b8i85vo7	528	16	.	.	PUNCT
cord-186927-b8i85vo7	529	1	given	give	VERB
cord-186927-b8i85vo7	529	2	a	a	DET
cord-186927-b8i85vo7	529	3	testing	testing	NOUN
cord-186927-b8i85vo7	529	4	policy	policy	NOUN
cord-186927-b8i85vo7	529	5	α	α	PROPN
cord-186927-b8i85vo7	529	6	∈	∈	PROPN
cord-186927-b8i85vo7	529	7	a	a	PRON
cord-186927-b8i85vo7	529	8	implemented	implement	VERB
cord-186927-b8i85vo7	529	9	by	by	ADP
cord-186927-b8i85vo7	529	10	the	the	DET
cord-186927-b8i85vo7	529	11	government	government	NOUN
cord-186927-b8i85vo7	529	12	,	,	PUNCT
cord-186927-b8i85vo7	529	13	notice	notice	VERB
cord-186927-b8i85vo7	529	14	that	that	SCONJ
cord-186927-b8i85vo7	529	15	the	the	DET
cord-186927-b8i85vo7	529	16	following	follow	VERB
cord-186927-b8i85vo7	529	17	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	529	18	exponential	exponential	NOUN
cord-186927-b8i85vo7	529	19	,	,	PUNCT
cord-186927-b8i85vo7	529	20	is	be	AUX
cord-186927-b8i85vo7	529	21	an	an	DET
cord-186927-b8i85vo7	529	22	(	(	PUNCT
cord-186927-b8i85vo7	529	23	f	f	PROPN
cord-186927-b8i85vo7	529	24	,	,	PUNCT
cord-186927-b8i85vo7	529	25	p	p	PROPN
cord-186927-b8i85vo7	529	26	α	α	X
cord-186927-b8i85vo7	529	27	)	)	PUNCT
cord-186927-b8i85vo7	529	28	-martingale	-martingale	PROPN
cord-186927-b8i85vo7	529	29	,	,	PUNCT
cord-186927-b8i85vo7	529	30	given	give	VERB
cord-186927-b8i85vo7	529	31	that	that	SCONJ
cord-186927-b8i85vo7	529	32	the	the	DET
cord-186927-b8i85vo7	529	33	process	process	NOUN
cord-186927-b8i85vo7	529	34	β/(σ	β/(σ	PUNCT
cord-186927-b8i85vo7	529	35	√	√	PUNCT
cord-186927-b8i85vo7	529	36	α	α	X
cord-186927-b8i85vo7	529	37	)	)	PUNCT
cord-186927-b8i85vo7	529	38	takes	take	VERB
cord-186927-b8i85vo7	529	39	values	value	NOUN
cord-186927-b8i85vo7	529	40	in	in	ADP
cord-186927-b8i85vo7	529	41	0	0	NUM
cord-186927-b8i85vo7	529	42	,	,	PUNCT
cord-186927-b8i85vo7	529	43	β	β	PROPN
cord-186927-b8i85vo7	529	44	max	max	PROPN
cord-186927-b8i85vo7	529	45	/(σ	/(σ	PUNCT
cord-186927-b8i85vo7	529	46	√	√	PROPN
cord-186927-b8i85vo7	530	1	ε	ε	NOUN
cord-186927-b8i85vo7	530	2	)	)	PUNCT
cord-186927-b8i85vo7	530	3	,	,	PUNCT
cord-186927-b8i85vo7	531	1	p	p	NOUN
cord-186927-b8i85vo7	531	2	α	α	X
cord-186927-b8i85vo7	531	3	-a.s	-a.s	INTJ
cord-186927-b8i85vo7	531	4	.	.	PUNCT
cord-186927-b8i85vo7	532	1	therefore	therefore	ADV
cord-186927-b8i85vo7	532	2	,	,	PUNCT
cord-186927-b8i85vo7	532	3	for	for	ADP
cord-186927-b8i85vo7	532	4	any	any	DET
cord-186927-b8i85vo7	532	5	(	(	PUNCT
cord-186927-b8i85vo7	532	6	α	α	PROPN
cord-186927-b8i85vo7	532	7	,	,	PUNCT
cord-186927-b8i85vo7	532	8	β	β	NOUN
cord-186927-b8i85vo7	532	9	)	)	PUNCT
cord-186927-b8i85vo7	532	10	∈	∈	NOUN
cord-186927-b8i85vo7	532	11	a	a	DET
cord-186927-b8i85vo7	532	12	×	×	PROPN
cord-186927-b8i85vo7	532	13	b	b	NOUN
cord-186927-b8i85vo7	532	14	,	,	PUNCT
cord-186927-b8i85vo7	532	15	we	we	PRON
cord-186927-b8i85vo7	532	16	can	can	AUX
cord-186927-b8i85vo7	532	17	define	define	VERB
cord-186927-b8i85vo7	532	18	a	a	DET
cord-186927-b8i85vo7	532	19	probability	probability	NOUN
cord-186927-b8i85vo7	532	20	measure	measure	NOUN
cord-186927-b8i85vo7	532	21	p	p	NOUN
cord-186927-b8i85vo7	532	22	α	α	PROPN
cord-186927-b8i85vo7	532	23	,	,	PUNCT
cord-186927-b8i85vo7	532	24	β	β	NOUN
cord-186927-b8i85vo7	532	25	on	on	ADP
cord-186927-b8i85vo7	532	26	(	(	PUNCT
cord-186927-b8i85vo7	532	27	ω	ω	PROPN
cord-186927-b8i85vo7	532	28	,	,	PUNCT
cord-186927-b8i85vo7	532	29	f	f	PROPN
cord-186927-b8i85vo7	532	30	)	)	PUNCT
cord-186927-b8i85vo7	532	31	,	,	PUNCT
cord-186927-b8i85vo7	532	32	equivalent	equivalent	ADJ
cord-186927-b8i85vo7	532	33	to	to	ADP
cord-186927-b8i85vo7	532	34	p	p	PROPN
cord-186927-b8i85vo7	532	35	α	α	PROPN
cord-186927-b8i85vo7	532	36	,	,	PUNCT
cord-186927-b8i85vo7	532	37	by	by	ADP
cord-186927-b8i85vo7	532	38	using	use	VERB
cord-186927-b8i85vo7	532	39	girsanov	girsanov	PROPN
cord-186927-b8i85vo7	532	40	's	's	PART
cord-186927-b8i85vo7	532	41	theorem	theorem	NOUN
cord-186927-b8i85vo7	532	42	,	,	PUNCT
cord-186927-b8i85vo7	532	43	we	we	PRON
cord-186927-b8i85vo7	532	44	know	know	VERB
cord-186927-b8i85vo7	532	45	that	that	SCONJ
cord-186927-b8i85vo7	532	46	the	the	DET
cord-186927-b8i85vo7	532	47	process	process	NOUN
cord-186927-b8i85vo7	532	48	is	be	AUX
cord-186927-b8i85vo7	532	49	an	an	DET
cord-186927-b8i85vo7	532	50	(	(	PUNCT
cord-186927-b8i85vo7	532	51	f	f	PROPN
cord-186927-b8i85vo7	532	52	,	,	PUNCT
cord-186927-b8i85vo7	532	53	p	p	PROPN
cord-186927-b8i85vo7	532	54	α	α	PROPN
cord-186927-b8i85vo7	532	55	,	,	PUNCT
cord-186927-b8i85vo7	532	56	β	β	NOUN
cord-186927-b8i85vo7	532	57	)	)	PUNCT
cord-186927-b8i85vo7	532	58	-brownian	-brownian	ADJ
cord-186927-b8i85vo7	532	59	motion	motion	NOUN
cord-186927-b8i85vo7	532	60	,	,	PUNCT
cord-186927-b8i85vo7	532	61	and	and	CCONJ
cord-186927-b8i85vo7	532	62	we	we	PRON
cord-186927-b8i85vo7	532	63	have	have	VERB
cord-186927-b8i85vo7	532	64	(	(	PUNCT
cord-186927-b8i85vo7	532	65	4.6	4.6	NUM
cord-186927-b8i85vo7	532	66	)	)	PUNCT
cord-186927-b8i85vo7	532	67	at	at	ADP
cord-186927-b8i85vo7	532	68	time	time	NOUN
cord-186927-b8i85vo7	532	69	0	0	NUM
cord-186927-b8i85vo7	532	70	,	,	PUNCT
cord-186927-b8i85vo7	532	71	the	the	DET
cord-186927-b8i85vo7	532	72	government	government	NOUN
cord-186927-b8i85vo7	532	73	informs	inform	VERB
cord-186927-b8i85vo7	532	74	the	the	DET
cord-186927-b8i85vo7	532	75	population	population	NOUN
cord-186927-b8i85vo7	532	76	about	about	ADP
cord-186927-b8i85vo7	532	77	its	its	PRON
cord-186927-b8i85vo7	532	78	testing	testing	NOUN
cord-186927-b8i85vo7	532	79	policy	policy	NOUN
cord-186927-b8i85vo7	532	80	α	α	X
cord-186927-b8i85vo7	532	81	∈	∈	PROPN
cord-186927-b8i85vo7	532	82	a	a	PRON
cord-186927-b8i85vo7	532	83	,	,	PUNCT
cord-186927-b8i85vo7	532	84	as	as	ADV
cord-186927-b8i85vo7	532	85	well	well	ADV
cord-186927-b8i85vo7	532	86	as	as	ADP
cord-186927-b8i85vo7	532	87	its	its	PRON
cord-186927-b8i85vo7	532	88	fine	fine	ADJ
cord-186927-b8i85vo7	532	89	policy	policy	NOUN
cord-186927-b8i85vo7	532	90	χ	χ	NUM
cord-186927-b8i85vo7	532	91	,	,	PUNCT
cord-186927-b8i85vo7	532	92	which	which	PRON
cord-186927-b8i85vo7	532	93	for	for	ADP
cord-186927-b8i85vo7	532	94	now	now	ADV
cord-186927-b8i85vo7	532	95	will	will	AUX
cord-186927-b8i85vo7	532	96	be	be	AUX
cord-186927-b8i85vo7	532	97	an	an	DET
cord-186927-b8i85vo7	532	98	f	f	PROPN
cord-186927-b8i85vo7	532	99	t	t	NOUN
cord-186927-b8i85vo7	532	100	-measurable	-measurable	ADJ
cord-186927-b8i85vo7	532	101	and	and	CCONJ
cord-186927-b8i85vo7	532	102	r	r	NOUN
cord-186927-b8i85vo7	532	103	-	-	PUNCT
cord-186927-b8i85vo7	532	104	valued	value	VERB
cord-186927-b8i85vo7	532	105	random	random	ADJ
cord-186927-b8i85vo7	532	106	variable	variable	NOUN
cord-186927-b8i85vo7	532	107	(	(	PUNCT
cord-186927-b8i85vo7	532	108	a	a	DET
cord-186927-b8i85vo7	532	109	set	set	NOUN
cord-186927-b8i85vo7	532	110	we	we	PRON
cord-186927-b8i85vo7	532	111	denote	denote	VERB
cord-186927-b8i85vo7	532	112	by	by	ADP
cord-186927-b8i85vo7	532	113	c	c	PROPN
cord-186927-b8i85vo7	532	114	)	)	PUNCT
cord-186927-b8i85vo7	532	115	.	.	PUNCT
cord-186927-b8i85vo7	533	1	the	the	DET
cord-186927-b8i85vo7	533	2	population	population	NOUN
cord-186927-b8i85vo7	533	3	solves	solve	VERB
cord-186927-b8i85vo7	533	4	the	the	DET
cord-186927-b8i85vo7	533	5	following	follow	VERB
cord-186927-b8i85vo7	533	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	533	7	control	control	NOUN
cord-186927-b8i85vo7	533	8	problem	problem	NOUN
cord-186927-b8i85vo7	533	9	the	the	DET
cord-186927-b8i85vo7	533	10	interpretation	interpretation	NOUN
cord-186927-b8i85vo7	533	11	of	of	ADP
cord-186927-b8i85vo7	533	12	the	the	DET
cord-186927-b8i85vo7	533	13	functions	function	NOUN
cord-186927-b8i85vo7	533	14	u	u	PROPN
cord-186927-b8i85vo7	533	15	and	and	CCONJ
cord-186927-b8i85vo7	533	16	u	u	PRON
cord-186927-b8i85vo7	533	17	is	be	AUX
cord-186927-b8i85vo7	533	18	detailed	detail	VERB
cord-186927-b8i85vo7	533	19	in	in	ADP
cord-186927-b8i85vo7	533	20	section	section	NOUN
cord-186927-b8i85vo7	533	21	2.3.1	2.3.1	PROPN
cord-186927-b8i85vo7	533	22	,	,	PUNCT
cord-186927-b8i85vo7	533	23	where	where	SCONJ
cord-186927-b8i85vo7	533	24	the	the	DET
cord-186927-b8i85vo7	533	25	population	population	NOUN
cord-186927-b8i85vo7	533	26	's	's	PART
cord-186927-b8i85vo7	533	27	problem	problem	NOUN
cord-186927-b8i85vo7	533	28	was	be	AUX
cord-186927-b8i85vo7	533	29	informally	informally	ADV
cord-186927-b8i85vo7	533	30	defined	define	VERB
cord-186927-b8i85vo7	533	31	.	.	PUNCT
cord-186927-b8i85vo7	534	1	for	for	ADP
cord-186927-b8i85vo7	534	2	any	any	DET
cord-186927-b8i85vo7	534	3	(	(	PUNCT
cord-186927-b8i85vo7	534	4	α	α	PROPN
cord-186927-b8i85vo7	534	5	,	,	PUNCT
cord-186927-b8i85vo7	534	6	χ	χ	X
cord-186927-b8i85vo7	534	7	)	)	PUNCT
cord-186927-b8i85vo7	534	8	∈	∈	NOUN
cord-186927-b8i85vo7	535	1	a	a	DET
cord-186927-b8i85vo7	535	2	×	×	PROPN
cord-186927-b8i85vo7	535	3	c	c	NOUN
cord-186927-b8i85vo7	535	4	,	,	PUNCT
cord-186927-b8i85vo7	535	5	we	we	PRON
cord-186927-b8i85vo7	535	6	recall	recall	VERB
cord-186927-b8i85vo7	535	7	that	that	SCONJ
cord-186927-b8i85vo7	535	8	we	we	PRON
cord-186927-b8i85vo7	535	9	denoted	denote	VERB
cord-186927-b8i85vo7	535	10	by	by	ADP
cord-186927-b8i85vo7	535	11	b	b	PROPN
cord-186927-b8i85vo7	535	12	(	(	PUNCT
cord-186927-b8i85vo7	535	13	α	α	PROPN
cord-186927-b8i85vo7	535	14	,	,	PUNCT
cord-186927-b8i85vo7	535	15	χ	χ	X
cord-186927-b8i85vo7	535	16	)	)	PUNCT
cord-186927-b8i85vo7	535	17	the	the	DET
cord-186927-b8i85vo7	535	18	set	set	NOUN
cord-186927-b8i85vo7	535	19	of	of	ADP
cord-186927-b8i85vo7	535	20	optimal	optimal	ADJ
cord-186927-b8i85vo7	535	21	controls	control	NOUN
cord-186927-b8i85vo7	535	22	for	for	ADP
cord-186927-b8i85vo7	535	23	v	v	NOUN
cord-186927-b8i85vo7	535	24	a	a	PRON
cord-186927-b8i85vo7	535	25	0	0	NUM
cord-186927-b8i85vo7	535	26	(	(	PUNCT
cord-186927-b8i85vo7	535	27	α	α	PROPN
cord-186927-b8i85vo7	535	28	,	,	PUNCT
cord-186927-b8i85vo7	535	29	χ	χ	NUM
cord-186927-b8i85vo7	535	30	)	)	PUNCT
cord-186927-b8i85vo7	535	31	,	,	PUNCT
cord-186927-b8i85vo7	535	32	that	that	PRON
cord-186927-b8i85vo7	535	33	is	be	AUX
cord-186927-b8i85vo7	535	34	to	to	PART
cord-186927-b8i85vo7	535	35	say	say	VERB
cord-186927-b8i85vo7	535	36	we	we	PRON
cord-186927-b8i85vo7	535	37	require	require	VERB
cord-186927-b8i85vo7	535	38	minimal	minimal	ADJ
cord-186927-b8i85vo7	535	39	integrability	integrability	NOUN
cord-186927-b8i85vo7	535	40	assumptions	assumption	NOUN
cord-186927-b8i85vo7	535	41	at	at	ADP
cord-186927-b8i85vo7	535	42	this	this	DET
cord-186927-b8i85vo7	535	43	stage	stage	NOUN
cord-186927-b8i85vo7	535	44	,	,	PUNCT
cord-186927-b8i85vo7	535	45	and	and	CCONJ
cord-186927-b8i85vo7	535	46	insist	insist	VERB
cord-186927-b8i85vo7	535	47	that	that	SCONJ
cord-186927-b8i85vo7	535	48	there	there	PRON
cord-186927-b8i85vo7	535	49	exists	exist	VERB
cord-186927-b8i85vo7	535	50	some	some	DET
cord-186927-b8i85vo7	535	51	p	p	X
cord-186927-b8i85vo7	535	52	>	>	SYM
cord-186927-b8i85vo7	535	53	1	1	NUM
cord-186927-b8i85vo7	535	54	such	such	ADJ
cord-186927-b8i85vo7	535	55	that	that	DET
cord-186927-b8i85vo7	535	56	remark	remark	NOUN
cord-186927-b8i85vo7	535	57	4.4	4.4	NUM
cord-186927-b8i85vo7	535	58	.	.	PUNCT
cord-186927-b8i85vo7	536	1	notice	notice	VERB
cord-186927-b8i85vo7	536	2	that	that	SCONJ
cord-186927-b8i85vo7	536	3	since	since	SCONJ
cord-186927-b8i85vo7	536	4	for	for	ADP
cord-186927-b8i85vo7	536	5	any	any	DET
cord-186927-b8i85vo7	536	6	α	α	PROPN
cord-186927-b8i85vo7	536	7	∈	∈	NOUN
cord-186927-b8i85vo7	536	8	a	a	DET
cord-186927-b8i85vo7	536	9	the	the	DET
cord-186927-b8i85vo7	536	10	radon	radon	NOUN
cord-186927-b8i85vo7	536	11	-	-	PUNCT
cord-186927-b8i85vo7	536	12	nykodým	nykodým	NOUN
cord-186927-b8i85vo7	536	13	density	density	NOUN
cord-186927-b8i85vo7	536	14	dp	dp	NOUN
cord-186927-b8i85vo7	536	15	α	α	PRON
cord-186927-b8i85vo7	536	16	,	,	PUNCT
cord-186927-b8i85vo7	536	17	β	β	NOUN
cord-186927-b8i85vo7	536	18	/dp	/dp	PUNCT
cord-186927-b8i85vo7	537	1	α	α	PRON
cord-186927-b8i85vo7	537	2	has	have	VERB
cord-186927-b8i85vo7	537	3	moments	moment	NOUN
cord-186927-b8i85vo7	537	4	of	of	ADP
cord-186927-b8i85vo7	537	5	any	any	DET
cord-186927-b8i85vo7	537	6	order	order	NOUN
cord-186927-b8i85vo7	537	7	under	under	ADP
cord-186927-b8i85vo7	537	8	p	p	PROPN
cord-186927-b8i85vo7	537	9	α	α	PRON
cord-186927-b8i85vo7	537	10	(	(	PUNCT
cord-186927-b8i85vo7	537	11	since	since	SCONJ
cord-186927-b8i85vo7	537	12	any	any	DET
cord-186927-b8i85vo7	537	13	β	β	PROPN
cord-186927-b8i85vo7	537	14	∈	∈	PROPN
cord-186927-b8i85vo7	537	15	b	b	PROPN
cord-186927-b8i85vo7	537	16	is	be	AUX
cord-186927-b8i85vo7	537	17	bounded	bound	VERB
cord-186927-b8i85vo7	537	18	and	and	CCONJ
cord-186927-b8i85vo7	537	19	any	any	DET
cord-186927-b8i85vo7	537	20	α	α	PROPN
cord-186927-b8i85vo7	537	21	∈	∈	PROPN
cord-186927-b8i85vo7	537	22	a	a	PRON
cord-186927-b8i85vo7	537	23	is	be	AUX
cord-186927-b8i85vo7	537	24	bounded	bound	VERB
cord-186927-b8i85vo7	537	25	and	and	CCONJ
cord-186927-b8i85vo7	537	26	bounded	bound	VERB
cord-186927-b8i85vo7	537	27	away	away	ADV
cord-186927-b8i85vo7	537	28	from	from	ADP
cord-186927-b8i85vo7	537	29	0	0	NUM
cord-186927-b8i85vo7	537	30	)	)	PUNCT
cord-186927-b8i85vo7	537	31	,	,	PUNCT
cord-186927-b8i85vo7	537	32	a	a	DET
cord-186927-b8i85vo7	537	33	simple	simple	ADJ
cord-186927-b8i85vo7	537	34	application	application	NOUN
cord-186927-b8i85vo7	537	35	of	of	ADP
cord-186927-b8i85vo7	537	36	hölder	hölder	PROPN
cord-186927-b8i85vo7	537	37	's	's	PART
cord-186927-b8i85vo7	537	38	inequality	inequality	NOUN
cord-186927-b8i85vo7	537	39	ensures	ensure	VERB
cord-186927-b8i85vo7	537	40	that	that	SCONJ
cord-186927-b8i85vo7	537	41	(	(	PUNCT
cord-186927-b8i85vo7	537	42	4.9	4.9	NUM
cord-186927-b8i85vo7	537	43	)	)	PUNCT
cord-186927-b8i85vo7	537	44	implies	imply	VERB
cord-186927-b8i85vo7	537	45	that	that	SCONJ
cord-186927-b8i85vo7	537	46	for	for	ADP
cord-186927-b8i85vo7	537	47	any	any	DET
cord-186927-b8i85vo7	537	48	p	p	NOUN
cord-186927-b8i85vo7	537	49	∈	∈	PROPN
cord-186927-b8i85vo7	537	50	(	(	PUNCT
cord-186927-b8i85vo7	537	51	1	1	NUM
cord-186927-b8i85vo7	537	52	,	,	PUNCT
cord-186927-b8i85vo7	537	53	p	p	NOUN
cord-186927-b8i85vo7	537	54	)	)	PUNCT
cord-186927-b8i85vo7	537	55	and	and	CCONJ
cord-186927-b8i85vo7	537	56	any	any	DET
cord-186927-b8i85vo7	537	57	β	β	PROPN
cord-186927-b8i85vo7	537	58	∈	∈	PROPN
cord-186927-b8i85vo7	537	59	b	b	PROPN
cord-186927-b8i85vo7	537	60	recall	recall	VERB
cord-186927-b8i85vo7	537	61	that	that	SCONJ
cord-186927-b8i85vo7	537	62	the	the	DET
cord-186927-b8i85vo7	537	63	government	government	NOUN
cord-186927-b8i85vo7	537	64	can	can	AUX
cord-186927-b8i85vo7	537	65	only	only	ADV
cord-186927-b8i85vo7	537	66	implement	implement	VERB
cord-186927-b8i85vo7	537	67	policies	policy	NOUN
cord-186927-b8i85vo7	537	68	(	(	PUNCT
cord-186927-b8i85vo7	537	69	α	α	PROPN
cord-186927-b8i85vo7	537	70	,	,	PUNCT
cord-186927-b8i85vo7	537	71	χ	χ	X
cord-186927-b8i85vo7	537	72	)	)	PUNCT
cord-186927-b8i85vo7	537	73	∈	∈	NOUN
cord-186927-b8i85vo7	538	1	a	a	DET
cord-186927-b8i85vo7	538	2	×	×	NOUN
cord-186927-b8i85vo7	538	3	c	c	NOUN
cord-186927-b8i85vo7	538	4	such	such	ADJ
cord-186927-b8i85vo7	538	5	that	that	DET
cord-186927-b8i85vo7	538	6	v	v	ADP
cord-186927-b8i85vo7	538	7	a	a	PRON
cord-186927-b8i85vo7	538	8	0	0	NUM
cord-186927-b8i85vo7	538	9	(	(	PUNCT
cord-186927-b8i85vo7	538	10	α	α	PROPN
cord-186927-b8i85vo7	538	11	,	,	PUNCT
cord-186927-b8i85vo7	538	12	χ	χ	X
cord-186927-b8i85vo7	538	13	)	)	PUNCT
cord-186927-b8i85vo7	538	14	≥	≥	NOUN
cord-186927-b8i85vo7	538	15	v	v	NOUN
cord-186927-b8i85vo7	538	16	,	,	PUNCT
cord-186927-b8i85vo7	538	17	where	where	SCONJ
cord-186927-b8i85vo7	538	18	the	the	DET
cord-186927-b8i85vo7	538	19	minimal	minimal	ADJ
cord-186927-b8i85vo7	538	20	utility	utility	NOUN
cord-186927-b8i85vo7	538	21	v	v	ADP
cord-186927-b8i85vo7	538	22	∈	∈	NOUN
cord-186927-b8i85vo7	538	23	r	r	NOUN
cord-186927-b8i85vo7	538	24	is	be	AUX
cord-186927-b8i85vo7	538	25	given	give	VERB
cord-186927-b8i85vo7	538	26	.	.	PUNCT
cord-186927-b8i85vo7	539	1	we	we	PRON
cord-186927-b8i85vo7	539	2	denote	denote	VERB
cord-186927-b8i85vo7	539	3	the	the	DET
cord-186927-b8i85vo7	539	4	subset	subset	NOUN
cord-186927-b8i85vo7	539	5	of	of	ADP
cord-186927-b8i85vo7	539	6	a	a	DET
cord-186927-b8i85vo7	539	7	×	×	NOUN
cord-186927-b8i85vo7	539	8	c	c	X
cord-186927-b8i85vo7	539	9	satisfying	satisfy	VERB
cord-186927-b8i85vo7	539	10	this	this	DET
cord-186927-b8i85vo7	539	11	constraint	constraint	NOUN
cord-186927-b8i85vo7	539	12	and	and	CCONJ
cord-186927-b8i85vo7	539	13	equation	equation	NOUN
cord-186927-b8i85vo7	539	14	(	(	PUNCT
cord-186927-b8i85vo7	539	15	4.9	4.9	NUM
cord-186927-b8i85vo7	539	16	)	)	PUNCT
cord-186927-b8i85vo7	539	17	by	by	ADP
cord-186927-b8i85vo7	539	18	ξ	ξ	PROPN
cord-186927-b8i85vo7	539	19	.	.	PROPN
cord-186927-b8i85vo7	539	20	in	in	ADP
cord-186927-b8i85vo7	539	21	line	line	NOUN
cord-186927-b8i85vo7	539	22	with	with	ADP
cord-186927-b8i85vo7	539	23	the	the	DET
cord-186927-b8i85vo7	539	24	informal	informal	ADJ
cord-186927-b8i85vo7	539	25	reasoning	reasoning	NOUN
cord-186927-b8i85vo7	539	26	developed	develop	VERB
cord-186927-b8i85vo7	539	27	in	in	ADP
cord-186927-b8i85vo7	539	28	section	section	NOUN
cord-186927-b8i85vo7	539	29	2.3.4	2.3.4	NUM
cord-186927-b8i85vo7	539	30	,	,	PUNCT
cord-186927-b8i85vo7	539	31	the	the	DET
cord-186927-b8i85vo7	539	32	government	government	NOUN
cord-186927-b8i85vo7	539	33	aims	aim	VERB
cord-186927-b8i85vo7	539	34	at	at	ADP
cord-186927-b8i85vo7	539	35	minimising	minimise	VERB
cord-186927-b8i85vo7	539	36	the	the	DET
cord-186927-b8i85vo7	539	37	number	number	NOUN
cord-186927-b8i85vo7	539	38	of	of	ADP
cord-186927-b8i85vo7	539	39	infected	infected	ADJ
cord-186927-b8i85vo7	539	40	people	people	NOUN
cord-186927-b8i85vo7	539	41	until	until	ADP
cord-186927-b8i85vo7	539	42	the	the	DET
cord-186927-b8i85vo7	539	43	end	end	NOUN
cord-186927-b8i85vo7	539	44	of	of	ADP
cord-186927-b8i85vo7	539	45	the	the	DET
cord-186927-b8i85vo7	539	46	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	539	47	period	period	NOUN
cord-186927-b8i85vo7	539	48	,	,	PUNCT
cord-186927-b8i85vo7	539	49	and	and	CCONJ
cord-186927-b8i85vo7	539	50	we	we	PRON
cord-186927-b8i85vo7	539	51	write	write	VERB
cord-186927-b8i85vo7	539	52	rigorously	rigorously	ADV
cord-186927-b8i85vo7	539	53	its	its	PRON
cord-186927-b8i85vo7	539	54	minimisation	minimisation	NOUN
cord-186927-b8i85vo7	539	55	problem	problem	NOUN
cord-186927-b8i85vo7	539	56	as	as	ADP
cord-186927-b8i85vo7	539	57	since	since	SCONJ
cord-186927-b8i85vo7	539	58	the	the	DET
cord-186927-b8i85vo7	539	59	fine	fine	ADJ
cord-186927-b8i85vo7	539	60	policy	policy	NOUN
cord-186927-b8i85vo7	539	61	χ	χ	PROPN
cord-186927-b8i85vo7	539	62	is	be	AUX
cord-186927-b8i85vo7	539	63	an	an	DET
cord-186927-b8i85vo7	539	64	f	f	PROPN
cord-186927-b8i85vo7	539	65	t	t	NOUN
cord-186927-b8i85vo7	539	66	-measurable	-measurable	ADJ
cord-186927-b8i85vo7	539	67	random	random	ADJ
cord-186927-b8i85vo7	539	68	variable	variable	NOUN
cord-186927-b8i85vo7	539	69	,	,	PUNCT
cord-186927-b8i85vo7	539	70	where	where	SCONJ
cord-186927-b8i85vo7	539	71	f	f	PROPN
cord-186927-b8i85vo7	539	72	is	be	AUX
cord-186927-b8i85vo7	539	73	the	the	DET
cord-186927-b8i85vo7	539	74	filtration	filtration	NOUN
cord-186927-b8i85vo7	539	75	generated	generate	VERB
cord-186927-b8i85vo7	539	76	by	by	ADP
cord-186927-b8i85vo7	539	77	the	the	DET
cord-186927-b8i85vo7	539	78	process	process	NOUN
cord-186927-b8i85vo7	539	79	(	(	PUNCT
cord-186927-b8i85vo7	539	80	s	s	PROPN
cord-186927-b8i85vo7	539	81	,	,	PUNCT
cord-186927-b8i85vo7	539	82	i	i	NOUN
cord-186927-b8i85vo7	539	83	)	)	PUNCT
cord-186927-b8i85vo7	539	84	,	,	PUNCT
cord-186927-b8i85vo7	539	85	we	we	PRON
cord-186927-b8i85vo7	539	86	should	should	AUX
cord-186927-b8i85vo7	539	87	expect	expect	VERB
cord-186927-b8i85vo7	539	88	that	that	SCONJ
cord-186927-b8i85vo7	539	89	in	in	ADP
cord-186927-b8i85vo7	539	90	general	general	ADJ
cord-186927-b8i85vo7	539	91	v	v	ADP
cord-186927-b8i85vo7	539	92	a	a	PRON
cord-186927-b8i85vo7	539	93	0	0	NUM
cord-186927-b8i85vo7	539	94	(	(	PUNCT
cord-186927-b8i85vo7	539	95	α	α	PROPN
cord-186927-b8i85vo7	539	96	,	,	PUNCT
cord-186927-b8i85vo7	539	97	χ	χ	NUM
cord-186927-b8i85vo7	539	98	)	)	PUNCT
cord-186927-b8i85vo7	539	99	=	=	SYM
cord-186927-b8i85vo7	539	100	v(0	v(0	PROPN
cord-186927-b8i85vo7	539	101	,	,	PUNCT
cord-186927-b8i85vo7	539	102	s	s	PROPN
cord-186927-b8i85vo7	539	103	0	0	NUM
cord-186927-b8i85vo7	539	104	,	,	PUNCT
cord-186927-b8i85vo7	539	105	i	i	PRON
cord-186927-b8i85vo7	539	106	0	0	PUNCT
cord-186927-b8i85vo7	539	107	)	)	PUNCT
cord-186927-b8i85vo7	539	108	,	,	PUNCT
cord-186927-b8i85vo7	539	109	where	where	SCONJ
cord-186927-b8i85vo7	539	110	the	the	DET
cord-186927-b8i85vo7	539	111	map	map	NOUN
cord-186927-b8i85vo7	539	112	v	v	X
cord-186927-b8i85vo7	539	113	:	:	PUNCT
cord-186927-b8i85vo7	540	1	[	[	X
cord-186927-b8i85vo7	540	2	0	0	NUM
cord-186927-b8i85vo7	540	3	,	,	PUNCT
cord-186927-b8i85vo7	540	4	t	t	NOUN
cord-186927-b8i85vo7	540	5	]	]	X
cord-186927-b8i85vo7	540	6	×	×	X
cord-186927-b8i85vo7	540	7	c	c	X
cord-186927-b8i85vo7	540	8	2	2	NUM
cord-186927-b8i85vo7	540	9	−→	−→	NOUN
cord-186927-b8i85vo7	540	10	r	r	NOUN
cord-186927-b8i85vo7	540	11	satisfies	satisfy	VERB
cord-186927-b8i85vo7	540	12	an	an	DET
cord-186927-b8i85vo7	540	13	informal	informal	ADJ
cord-186927-b8i85vo7	540	14	hamilton	hamilton	PROPN
cord-186927-b8i85vo7	540	15	jacobi	jacobi	PROPN
cord-186927-b8i85vo7	540	16	bellman	bellman	PROPN
cord-186927-b8i85vo7	540	17	(	(	PUNCT
cord-186927-b8i85vo7	540	18	hjb	hjb	PROPN
cord-186927-b8i85vo7	540	19	for	for	ADP
cord-186927-b8i85vo7	540	20	short	short	ADJ
cord-186927-b8i85vo7	540	21	)	)	PUNCT
cord-186927-b8i85vo7	540	22	equation	equation	NOUN
cord-186927-b8i85vo7	540	23	,	,	PUNCT
cord-186927-b8i85vo7	540	24	and	and	CCONJ
cord-186927-b8i85vo7	540	25	as	as	SCONJ
cord-186927-b8i85vo7	540	26	such	such	ADJ
cord-186927-b8i85vo7	540	27	has	have	VERB
cord-186927-b8i85vo7	540	28	the	the	DET
cord-186927-b8i85vo7	540	29	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	540	30	in	in	ADP
cord-186927-b8i85vo7	540	31	particular	particular	ADJ
cord-186927-b8i85vo7	540	32	,	,	PUNCT
cord-186927-b8i85vo7	540	33	defining	define	VERB
cord-186927-b8i85vo7	540	34	z	z	NOUN
cord-186927-b8i85vo7	540	35	:	:	PUNCT
cord-186927-b8i85vo7	540	36	=	=	X
cord-186927-b8i85vo7	540	37	z	z	X
cord-186927-b8i85vo7	540	38	s	s	PROPN
cord-186927-b8i85vo7	541	1	−	−	X
cord-186927-b8i85vo7	541	2	z	z	NOUN
cord-186927-b8i85vo7	541	3	i	i	PRON
cord-186927-b8i85vo7	541	4	,	,	PUNCT
cord-186927-b8i85vo7	541	5	we	we	PRON
cord-186927-b8i85vo7	541	6	should	should	AUX
cord-186927-b8i85vo7	541	7	have	have	AUX
cord-186927-b8i85vo7	541	8	given	give	VERB
cord-186927-b8i85vo7	541	9	the	the	DET
cord-186927-b8i85vo7	541	10	supremum	supremum	NOUN
cord-186927-b8i85vo7	541	11	appearing	appear	VERB
cord-186927-b8i85vo7	541	12	above	above	ADV
cord-186927-b8i85vo7	541	13	,	,	PUNCT
cord-186927-b8i85vo7	541	14	the	the	DET
cord-186927-b8i85vo7	541	15	following	follow	VERB
cord-186927-b8i85vo7	541	16	assumption	assumption	NOUN
cord-186927-b8i85vo7	541	17	will	will	AUX
cord-186927-b8i85vo7	541	18	be	be	AUX
cord-186927-b8i85vo7	541	19	useful	useful	ADJ
cord-186927-b8i85vo7	541	20	for	for	ADP
cord-186927-b8i85vo7	541	21	us	we	PRON
cord-186927-b8i85vo7	541	22	.	.	PUNCT
cord-186927-b8i85vo7	542	1	where	where	SCONJ
cord-186927-b8i85vo7	542	2	,	,	PUNCT
cord-186927-b8i85vo7	542	3	in	in	ADP
cord-186927-b8i85vo7	542	4	this	this	DET
cord-186927-b8i85vo7	542	5	case	case	NOUN
cord-186927-b8i85vo7	542	6	,	,	PUNCT
cord-186927-b8i85vo7	542	7	the	the	DET
cord-186927-b8i85vo7	542	8	population	population	NOUN
cord-186927-b8i85vo7	542	9	's	's	PART
cord-186927-b8i85vo7	542	10	hamiltonian	hamiltonian	ADJ
cord-186927-b8i85vo7	542	11	h	h	NOUN
cord-186927-b8i85vo7	542	12	:	:	PUNCT
cord-186927-b8i85vo7	542	13	since	since	SCONJ
cord-186927-b8i85vo7	542	14	the	the	DET
cord-186927-b8i85vo7	542	15	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	542	16	of	of	ADP
cord-186927-b8i85vo7	542	17	r	r	NOUN
cord-186927-b8i85vo7	542	18	is	be	AUX
cord-186927-b8i85vo7	542	19	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	542	20	and	and	CCONJ
cord-186927-b8i85vo7	542	21	not	not	PART
cord-186927-b8i85vo7	542	22	controlled	control	VERB
cord-186927-b8i85vo7	542	23	,	,	PUNCT
cord-186927-b8i85vo7	542	24	a	a	DET
cord-186927-b8i85vo7	542	25	simplification	simplification	NOUN
cord-186927-b8i85vo7	542	26	occurs	occur	VERB
cord-186927-b8i85vo7	542	27	between	between	ADP
cord-186927-b8i85vo7	542	28	the	the	DET
cord-186927-b8i85vo7	542	29	additional	additional	ADJ
cord-186927-b8i85vo7	542	30	part	part	NOUN
cord-186927-b8i85vo7	542	31	of	of	ADP
cord-186927-b8i85vo7	542	32	the	the	DET
cord-186927-b8i85vo7	542	33	hamiltonian	hamiltonian	ADJ
cord-186927-b8i85vo7	542	34	(	(	PUNCT
cord-186927-b8i85vo7	542	35	ρi	ρi	PROPN
cord-186927-b8i85vo7	542	36	−	−	PROPN
cord-186927-b8i85vo7	542	37	µr	µr	PROPN
cord-186927-b8i85vo7	542	38	)	)	PUNCT
cord-186927-b8i85vo7	542	39	z	z	PROPN
cord-186927-b8i85vo7	542	40	and	and	CCONJ
cord-186927-b8i85vo7	542	41	the	the	DET
cord-186927-b8i85vo7	542	42	integral	integral	ADJ
cord-186927-b8i85vo7	542	43	with	with	ADP
cord-186927-b8i85vo7	542	44	respect	respect	NOUN
cord-186927-b8i85vo7	542	45	to	to	ADP
cord-186927-b8i85vo7	542	46	dr	dr	PROPN
cord-186927-b8i85vo7	542	47	,	,	PUNCT
cord-186927-b8i85vo7	542	48	which	which	PRON
cord-186927-b8i85vo7	542	49	leads	lead	VERB
cord-186927-b8i85vo7	542	50	to	to	ADP
cord-186927-b8i85vo7	542	51	the	the	DET
cord-186927-b8i85vo7	542	52	same	same	ADJ
cord-186927-b8i85vo7	542	53	form	form	NOUN
cord-186927-b8i85vo7	542	54	for	for	ADP
cord-186927-b8i85vo7	542	55	the	the	DET
cord-186927-b8i85vo7	542	56	utility	utility	NOUN
cord-186927-b8i85vo7	542	57	function	function	NOUN
cord-186927-b8i85vo7	542	58	as	as	SCONJ
cord-186927-b8i85vo7	542	59	previously	previously	ADV
cord-186927-b8i85vo7	542	60	mentioned	mention	VERB
cord-186927-b8i85vo7	542	61	,	,	PUNCT
cord-186927-b8i85vo7	542	62	i.e.	i.e.	X
cord-186927-b8i85vo7	542	63	,	,	PUNCT
cord-186927-b8i85vo7	542	64	equation	equation	NOUN
cord-186927-b8i85vo7	542	65	(	(	PUNCT
cord-186927-b8i85vo7	542	66	4.11	4.11	NUM
cord-186927-b8i85vo7	542	67	)	)	PUNCT
cord-186927-b8i85vo7	542	68	.	.	PUNCT
cord-186927-b8i85vo7	543	1	let	let	VERB
cord-186927-b8i85vo7	543	2	us	we	PRON
cord-186927-b8i85vo7	543	3	start	start	VERB
cord-186927-b8i85vo7	543	4	this	this	DET
cord-186927-b8i85vo7	543	5	section	section	NOUN
cord-186927-b8i85vo7	543	6	by	by	ADP
cord-186927-b8i85vo7	543	7	defining	define	VERB
cord-186927-b8i85vo7	543	8	two	two	NUM
cord-186927-b8i85vo7	543	9	useful	useful	ADJ
cord-186927-b8i85vo7	543	10	spaces	space	NOUN
cord-186927-b8i85vo7	543	11	.	.	PUNCT
cord-186927-b8i85vo7	544	1	for	for	ADP
cord-186927-b8i85vo7	544	2	any	any	DET
cord-186927-b8i85vo7	544	3	α	α	PROPN
cord-186927-b8i85vo7	544	4	∈	∈	PROPN
cord-186927-b8i85vo7	544	5	a	a	PRON
cord-186927-b8i85vo7	544	6	,	,	PUNCT
cord-186927-b8i85vo7	544	7	and	and	CCONJ
cord-186927-b8i85vo7	544	8	any	any	DET
cord-186927-b8i85vo7	544	9	m	m	NOUN
cord-186927-b8i85vo7	544	10	∈	∈	PROPN
cord-186927-b8i85vo7	544	11	n	n	ADV
cord-186927-b8i85vo7	544	12	,	,	PUNCT
cord-186927-b8i85vo7	544	13	we	we	PRON
cord-186927-b8i85vo7	544	14	define	define	VERB
cord-186927-b8i85vo7	544	15	s	s	PROPN
cord-186927-b8i85vo7	544	16	m	m	PROPN
cord-186927-b8i85vo7	544	17	(	(	PUNCT
cord-186927-b8i85vo7	544	18	p	p	NOUN
cord-186927-b8i85vo7	544	19	α	α	PROPN
cord-186927-b8i85vo7	544	20	)	)	PUNCT
cord-186927-b8i85vo7	544	21	and	and	CCONJ
cord-186927-b8i85vo7	544	22	h	h	X
cord-186927-b8i85vo7	544	23	m	m	PROPN
cord-186927-b8i85vo7	544	24	(	(	PUNCT
cord-186927-b8i85vo7	544	25	p	p	NOUN
cord-186927-b8i85vo7	544	26	α	α	PROPN
cord-186927-b8i85vo7	544	27	)	)	PUNCT
cord-186927-b8i85vo7	544	28	as	as	ADP
cord-186927-b8i85vo7	544	29	respectively	respectively	ADV
cord-186927-b8i85vo7	544	30	the	the	DET
cord-186927-b8i85vo7	544	31	sets	set	NOUN
cord-186927-b8i85vo7	544	32	of	of	ADP
cord-186927-b8i85vo7	544	33	r	r	NOUN
cord-186927-b8i85vo7	544	34	-	-	PUNCT
cord-186927-b8i85vo7	544	35	valued	value	VERB
cord-186927-b8i85vo7	544	36	,	,	PUNCT
cord-186927-b8i85vo7	544	37	f	f	PROPN
cord-186927-b8i85vo7	544	38	p	p	PROPN
cord-186927-b8i85vo7	544	39	α	α	PROPN
cord-186927-b8i85vo7	544	40	+	+	CCONJ
cord-186927-b8i85vo7	544	41	-adapted	-adapte	VERB
cord-186927-b8i85vo7	544	42	continuous	continuous	ADJ
cord-186927-b8i85vo7	544	43	processes	process	NOUN
cord-186927-b8i85vo7	544	44	y	y	PROPN
cord-186927-b8i85vo7	544	45	such	such	ADJ
cord-186927-b8i85vo7	544	46	that	that	SCONJ
cord-186927-b8i85vo7	544	47	y	y	PROPN
cord-186927-b8i85vo7	544	48	s	s	PROPN
cord-186927-b8i85vo7	544	49	m	m	PROPN
cord-186927-b8i85vo7	544	50	(	(	PUNCT
cord-186927-b8i85vo7	544	51	p	p	NOUN
cord-186927-b8i85vo7	544	52	α	α	X
cord-186927-b8i85vo7	544	53	)	)	PUNCT
cord-186927-b8i85vo7	544	54	<	<	X
cord-186927-b8i85vo7	544	55	∞	∞	PROPN
cord-186927-b8i85vo7	544	56	,	,	PUNCT
cord-186927-b8i85vo7	544	57	and	and	CCONJ
cord-186927-b8i85vo7	544	58	the	the	DET
cord-186927-b8i85vo7	544	59	set	set	NOUN
cord-186927-b8i85vo7	544	60	of	of	ADP
cord-186927-b8i85vo7	544	61	theorem	theorem	NOUN
cord-186927-b8i85vo7	544	62	4.7	4.7	NUM
cord-186927-b8i85vo7	544	63	.	.	PUNCT
cord-186927-b8i85vo7	545	1	let	let	VERB
cord-186927-b8i85vo7	545	2	(	(	PUNCT
cord-186927-b8i85vo7	545	3	α	α	PROPN
cord-186927-b8i85vo7	545	4	,	,	PUNCT
cord-186927-b8i85vo7	545	5	χ	χ	X
cord-186927-b8i85vo7	545	6	)	)	PUNCT
cord-186927-b8i85vo7	545	7	∈	∈	PROPN
cord-186927-b8i85vo7	545	8	ξ	ξ	X
cord-186927-b8i85vo7	545	9	.	.	PUNCT
cord-186927-b8i85vo7	546	1	there	there	PRON
cord-186927-b8i85vo7	546	2	exists	exist	VERB
cord-186927-b8i85vo7	546	3	a	a	DET
cord-186927-b8i85vo7	546	4	unique	unique	ADJ
cord-186927-b8i85vo7	546	5	f	f	PROPN
cord-186927-b8i85vo7	546	6	p	p	X
cord-186927-b8i85vo7	546	7	α	α	PROPN
cord-186927-b8i85vo7	547	1	+	+	PUNCT
cord-186927-b8i85vo7	547	2	0	0	NUM
cord-186927-b8i85vo7	547	3	-measurable	-measurable	ADJ
cord-186927-b8i85vo7	547	4	random	random	ADJ
cord-186927-b8i85vo7	547	5	variable	variable	PROPN
cord-186927-b8i85vo7	547	6	y	y	PROPN
cord-186927-b8i85vo7	547	7	0	0	PUNCT
cord-186927-b8i85vo7	547	8	and	and	CCONJ
cord-186927-b8i85vo7	547	9	a	a	DET
cord-186927-b8i85vo7	547	10	unique	unique	ADJ
cord-186927-b8i85vo7	547	11	z	z	NOUN
cord-186927-b8i85vo7	547	12	∈	∈	NOUN
cord-186927-b8i85vo7	548	1	h	h	NOUN
cord-186927-b8i85vo7	548	2	p	p	NOUN
cord-186927-b8i85vo7	548	3	(	(	PUNCT
cord-186927-b8i85vo7	548	4	p	p	NOUN
cord-186927-b8i85vo7	548	5	α	α	PROPN
cord-186927-b8i85vo7	548	6	)	)	PUNCT
cord-186927-b8i85vo7	548	7	such	such	ADJ
cord-186927-b8i85vo7	548	8	that	that	DET
cord-186927-b8i85vo7	548	9	proof	proof	NOUN
cord-186927-b8i85vo7	548	10	.	.	PUNCT
cord-186927-b8i85vo7	549	1	fix	fix	NOUN
cord-186927-b8i85vo7	549	2	(	(	PUNCT
cord-186927-b8i85vo7	549	3	α	α	PROPN
cord-186927-b8i85vo7	549	4	,	,	PUNCT
cord-186927-b8i85vo7	549	5	χ	χ	X
cord-186927-b8i85vo7	549	6	)	)	PUNCT
cord-186927-b8i85vo7	549	7	∈	∈	PROPN
cord-186927-b8i85vo7	549	8	ξ	ξ	PROPN
cord-186927-b8i85vo7	550	1	as	as	ADP
cord-186927-b8i85vo7	550	2	in	in	ADP
cord-186927-b8i85vo7	550	3	the	the	DET
cord-186927-b8i85vo7	550	4	statement	statement	NOUN
cord-186927-b8i85vo7	550	5	of	of	ADP
cord-186927-b8i85vo7	550	6	the	the	DET
cord-186927-b8i85vo7	550	7	theorem	theorem	NOUN
cord-186927-b8i85vo7	550	8	.	.	PUNCT
cord-186927-b8i85vo7	551	1	let	let	VERB
cord-186927-b8i85vo7	551	2	us	we	PRON
cord-186927-b8i85vo7	551	3	consider	consider	VERB
cord-186927-b8i85vo7	551	4	the	the	DET
cord-186927-b8i85vo7	551	5	solution	solution	NOUN
cord-186927-b8i85vo7	551	6	(	(	PUNCT
cord-186927-b8i85vo7	551	7	y	y	PROPN
cord-186927-b8i85vo7	551	8	,	,	PUNCT
cord-186927-b8i85vo7	551	9	z	z	PROPN
cord-186927-b8i85vo7	551	10	)	)	PUNCT
cord-186927-b8i85vo7	551	11	of	of	ADP
cord-186927-b8i85vo7	551	12	the	the	DET
cord-186927-b8i85vo7	551	13	following	follow	VERB
cord-186927-b8i85vo7	551	14	bsde	bsde	PROPN
cord-186927-b8i85vo7	551	15	(	(	PUNCT
cord-186927-b8i85vo7	551	16	4.14	4.14	NUM
cord-186927-b8i85vo7	551	17	)	)	PUNCT
cord-186927-b8i85vo7	551	18	since	since	SCONJ
cord-186927-b8i85vo7	551	19	χ	χ	PROPN
cord-186927-b8i85vo7	551	20	∈	∈	PROPN
cord-186927-b8i85vo7	551	21	c	c	PROPN
cord-186927-b8i85vo7	551	22	,	,	PUNCT
cord-186927-b8i85vo7	551	23	u	u	PROPN
cord-186927-b8i85vo7	551	24	is	be	AUX
cord-186927-b8i85vo7	551	25	continuous	continuous	ADJ
cord-186927-b8i85vo7	551	26	,	,	PUNCT
cord-186927-b8i85vo7	551	27	i	i	PRON
cord-186927-b8i85vo7	551	28	and	and	CCONJ
cord-186927-b8i85vo7	551	29	s	s	NOUN
cord-186927-b8i85vo7	551	30	are	be	AUX
cord-186927-b8i85vo7	551	31	bounded	bound	VERB
cord-186927-b8i85vo7	551	32	,	,	PUNCT
cord-186927-b8i85vo7	551	33	and	and	CCONJ
cord-186927-b8i85vo7	551	34	b	b	X
cord-186927-b8i85vo7	551	35	is	be	AUX
cord-186927-b8i85vo7	551	36	a	a	DET
cord-186927-b8i85vo7	551	37	compact	compact	ADJ
cord-186927-b8i85vo7	551	38	set	set	NOUN
cord-186927-b8i85vo7	551	39	,	,	PUNCT
cord-186927-b8i85vo7	551	40	it	it	PRON
cord-186927-b8i85vo7	551	41	is	be	AUX
cord-186927-b8i85vo7	551	42	immediate	immediate	ADJ
cord-186927-b8i85vo7	551	43	this	this	DET
cord-186927-b8i85vo7	551	44	bsde	bsde	PROPN
cord-186927-b8i85vo7	551	45	is	be	AUX
cord-186927-b8i85vo7	551	46	well	well	ADV
cord-186927-b8i85vo7	551	47	-	-	PUNCT
cord-186927-b8i85vo7	551	48	posed	pose	VERB
cord-186927-b8i85vo7	551	49	and	and	CCONJ
cord-186927-b8i85vo7	551	50	admits	admit	VERB
cord-186927-b8i85vo7	551	51	a	a	DET
cord-186927-b8i85vo7	551	52	unique	unique	ADJ
cord-186927-b8i85vo7	551	53	solution	solution	NOUN
cord-186927-b8i85vo7	551	54	(	(	PUNCT
cord-186927-b8i85vo7	551	55	y	y	PROPN
cord-186927-b8i85vo7	551	56	,	,	PUNCT
cord-186927-b8i85vo7	551	57	z	z	PROPN
cord-186927-b8i85vo7	551	58	)	)	PUNCT
cord-186927-b8i85vo7	552	1	∈	∈	PROPN
cord-186927-b8i85vo7	552	2	s	s	NOUN
cord-186927-b8i85vo7	553	1	p	p	NOUN
cord-186927-b8i85vo7	553	2	(	(	PUNCT
cord-186927-b8i85vo7	553	3	p	p	NOUN
cord-186927-b8i85vo7	553	4	α	α	PROPN
cord-186927-b8i85vo7	553	5	)	)	PUNCT
cord-186927-b8i85vo7	553	6	×h	×h	CCONJ
cord-186927-b8i85vo7	554	1	p	p	NOUN
cord-186927-b8i85vo7	554	2	(	(	PUNCT
cord-186927-b8i85vo7	554	3	p	p	NOUN
cord-186927-b8i85vo7	554	4	α	α	PROPN
cord-186927-b8i85vo7	554	5	)	)	PUNCT
cord-186927-b8i85vo7	554	6	(	(	PUNCT
cord-186927-b8i85vo7	554	7	in	in	ADP
cord-186927-b8i85vo7	554	8	a	a	DET
cord-186927-b8i85vo7	554	9	more	more	ADV
cord-186927-b8i85vo7	554	10	general	general	ADJ
cord-186927-b8i85vo7	554	11	context	context	NOUN
cord-186927-b8i85vo7	554	12	,	,	PUNCT
cord-186927-b8i85vo7	554	13	one	one	PRON
cord-186927-b8i85vo7	554	14	may	may	AUX
cord-186927-b8i85vo7	554	15	refer	refer	VERB
cord-186927-b8i85vo7	554	16	for	for	SCONJ
cord-186927-b8i85vo7	554	17	instance	instance	NOUN
cord-186927-b8i85vo7	554	18	to	to	PART
cord-186927-b8i85vo7	554	19	bouchard	bouchard	VERB
cord-186927-b8i85vo7	554	20	,	,	PUNCT
cord-186927-b8i85vo7	554	21	possamaï	possamaï	PROPN
cord-186927-b8i85vo7	554	22	,	,	PUNCT
cord-186927-b8i85vo7	554	23	tan	tan	PROPN
cord-186927-b8i85vo7	554	24	,	,	PUNCT
cord-186927-b8i85vo7	554	25	and	and	CCONJ
cord-186927-b8i85vo7	554	26	zhou	zhou	PROPN
cord-186927-b8i85vo7	555	1	[	[	PUNCT
cord-186927-b8i85vo7	555	2	20	20	NUM
cord-186927-b8i85vo7	555	3	,	,	PUNCT
cord-186927-b8i85vo7	555	4	theorem	theorem	VERB
cord-186927-b8i85vo7	555	5	4.1	4.1	NUM
cord-186927-b8i85vo7	555	6	]	]	PUNCT
cord-186927-b8i85vo7	555	7	)	)	PUNCT
cord-186927-b8i85vo7	555	8	.	.	PUNCT
cord-186927-b8i85vo7	556	1	therefore	therefore	ADV
cord-186927-b8i85vo7	556	2	,	,	PUNCT
cord-186927-b8i85vo7	556	3	using	use	VERB
cord-186927-b8i85vo7	556	4	the	the	DET
cord-186927-b8i85vo7	556	5	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	556	6	of	of	ADP
cord-186927-b8i85vo7	556	7	i	i	PRON
cord-186927-b8i85vo7	556	8	under	under	ADP
cord-186927-b8i85vo7	556	9	p	p	PROPN
cord-186927-b8i85vo7	556	10	α	α	PROPN
cord-186927-b8i85vo7	556	11	,	,	PUNCT
cord-186927-b8i85vo7	556	12	given	give	VERB
cord-186927-b8i85vo7	556	13	by	by	ADP
cord-186927-b8i85vo7	556	14	equation	equation	NOUN
cord-186927-b8i85vo7	556	15	(	(	PUNCT
cord-186927-b8i85vo7	556	16	4.2	4.2	NUM
cord-186927-b8i85vo7	556	17	)	)	PUNCT
cord-186927-b8i85vo7	556	18	,	,	PUNCT
cord-186927-b8i85vo7	556	19	as	as	ADV
cord-186927-b8i85vo7	556	20	well	well	ADV
cord-186927-b8i85vo7	556	21	as	as	ADP
cord-186927-b8i85vo7	556	22	the	the	DET
cord-186927-b8i85vo7	556	23	definition	definition	NOUN
cord-186927-b8i85vo7	556	24	of	of	ADP
cord-186927-b8i85vo7	556	25	β	β	NOUN
cord-186927-b8i85vo7	556	26	,	,	PUNCT
cord-186927-b8i85vo7	556	27	and	and	CCONJ
cord-186927-b8i85vo7	556	28	letting	let	VERB
cord-186927-b8i85vo7	556	29	t	t	NOUN
cord-186927-b8i85vo7	556	30	=	=	NOUN
cord-186927-b8i85vo7	556	31	0	0	NUM
cord-186927-b8i85vo7	556	32	,	,	PUNCT
cord-186927-b8i85vo7	556	33	we	we	PRON
cord-186927-b8i85vo7	556	34	obtain	obtain	VERB
cord-186927-b8i85vo7	556	35	that	that	PRON
cord-186927-b8i85vo7	556	36	(	(	PUNCT
cord-186927-b8i85vo7	556	37	4.13	4.13	NUM
cord-186927-b8i85vo7	556	38	)	)	PUNCT
cord-186927-b8i85vo7	556	39	is	be	AUX
cord-186927-b8i85vo7	556	40	satisfied	satisfied	ADJ
cord-186927-b8i85vo7	556	41	.	.	PUNCT
cord-186927-b8i85vo7	557	1	next	next	ADV
cord-186927-b8i85vo7	557	2	,	,	PUNCT
cord-186927-b8i85vo7	557	3	using	use	VERB
cord-186927-b8i85vo7	557	4	this	this	DET
cord-186927-b8i85vo7	557	5	representation	representation	NOUN
cord-186927-b8i85vo7	557	6	for	for	ADP
cord-186927-b8i85vo7	557	7	u	u	PROPN
cord-186927-b8i85vo7	557	8	(	(	PUNCT
cord-186927-b8i85vo7	557	9	χ	χ	NUM
cord-186927-b8i85vo7	557	10	)	)	PUNCT
cord-186927-b8i85vo7	557	11	,	,	PUNCT
cord-186927-b8i85vo7	557	12	notice	notice	VERB
cord-186927-b8i85vo7	557	13	that	that	SCONJ
cord-186927-b8i85vo7	557	14	for	for	ADP
cord-186927-b8i85vo7	557	15	any	any	DET
cord-186927-b8i85vo7	557	16	β	β	PROPN
cord-186927-b8i85vo7	557	17	∈	∈	PROPN
cord-186927-b8i85vo7	557	18	b	b	PROPN
cord-186927-b8i85vo7	557	19	,	,	PUNCT
cord-186927-b8i85vo7	557	20	we	we	PRON
cord-186927-b8i85vo7	557	21	have	have	VERB
cord-186927-b8i85vo7	557	22	where	where	SCONJ
cord-186927-b8i85vo7	557	23	we	we	PRON
cord-186927-b8i85vo7	557	24	used	use	VERB
cord-186927-b8i85vo7	557	25	the	the	DET
cord-186927-b8i85vo7	557	26	fact	fact	NOUN
cord-186927-b8i85vo7	557	27	that	that	SCONJ
cord-186927-b8i85vo7	557	28	that	that	DET
cord-186927-b8i85vo7	557	29	z	z	NOUN
cord-186927-b8i85vo7	557	30	∈	∈	NOUN
cord-186927-b8i85vo7	557	31	h	h	NOUN
cord-186927-b8i85vo7	558	1	p	p	NOUN
cord-186927-b8i85vo7	559	1	(	(	PUNCT
cord-186927-b8i85vo7	559	2	p	p	NOUN
cord-186927-b8i85vo7	559	3	α	α	PROPN
cord-186927-b8i85vo7	559	4	)	)	PUNCT
cord-186927-b8i85vo7	559	5	,	,	PUNCT
cord-186927-b8i85vo7	559	6	and	and	CCONJ
cord-186927-b8i85vo7	559	7	that	that	SCONJ
cord-186927-b8i85vo7	559	8	the	the	DET
cord-186927-b8i85vo7	559	9	process	process	NOUN
cord-186927-b8i85vo7	559	10	is	be	AUX
cord-186927-b8i85vo7	559	11	continuous	continuous	ADJ
cord-186927-b8i85vo7	559	12	,	,	PUNCT
cord-186927-b8i85vo7	559	13	and	and	CCONJ
cord-186927-b8i85vo7	559	14	both	both	CCONJ
cord-186927-b8i85vo7	559	15	an	an	PRON
cord-186927-b8i85vo7	559	16	(	(	PUNCT
cord-186927-b8i85vo7	559	17	f	f	PROPN
cord-186927-b8i85vo7	559	18	p	p	PROPN
cord-186927-b8i85vo7	559	19	α	α	PROPN
cord-186927-b8i85vo7	559	20	,	,	PUNCT
cord-186927-b8i85vo7	559	21	p	p	NOUN
cord-186927-b8i85vo7	559	22	α	α	PROPN
cord-186927-b8i85vo7	559	23	)	)	PUNCT
cord-186927-b8i85vo7	559	24	-and	-and	PROPN
cord-186927-b8i85vo7	559	25	an	an	DET
cord-186927-b8i85vo7	559	26	(	(	PUNCT
cord-186927-b8i85vo7	559	27	f	f	PROPN
cord-186927-b8i85vo7	559	28	p	p	PROPN
cord-186927-b8i85vo7	559	29	α	α	PROPN
cord-186927-b8i85vo7	560	1	+	+	PRON
cord-186927-b8i85vo7	560	2	,	,	PUNCT
cord-186927-b8i85vo7	560	3	p	p	NOUN
cord-186927-b8i85vo7	560	4	α	α	X
cord-186927-b8i85vo7	560	5	)	)	PUNCT
cord-186927-b8i85vo7	560	6	-martingale	-martingale	PROPN
cord-186927-b8i85vo7	560	7	(	(	PUNCT
cord-186927-b8i85vo7	560	8	see	see	VERB
cord-186927-b8i85vo7	560	9	for	for	ADP
cord-186927-b8i85vo7	560	10	instance	instance	NOUN
cord-186927-b8i85vo7	560	11	neufeld	neufeld	NOUN
cord-186927-b8i85vo7	560	12	and	and	CCONJ
cord-186927-b8i85vo7	560	13	nutz	nutz	ADJ
cord-186927-b8i85vo7	560	14	[	[	PUNCT
cord-186927-b8i85vo7	560	15	80	80	NUM
cord-186927-b8i85vo7	560	16	,	,	PUNCT
cord-186927-b8i85vo7	560	17	proposition	proposition	NOUN
cord-186927-b8i85vo7	560	18	2.2	2.2	NUM
cord-186927-b8i85vo7	560	19	]	]	PUNCT
cord-186927-b8i85vo7	560	20	)	)	PUNCT
cord-186927-b8i85vo7	560	21	,	,	PUNCT
cord-186927-b8i85vo7	560	22	so	so	SCONJ
cord-186927-b8i85vo7	560	23	that	that	SCONJ
cord-186927-b8i85vo7	560	24	for	for	ADP
cord-186927-b8i85vo7	560	25	any	any	DET
cord-186927-b8i85vo7	560	26	β	β	PROPN
cord-186927-b8i85vo7	560	27	∈	∈	PROPN
cord-186927-b8i85vo7	560	28	b	b	PROPN
cord-186927-b8i85vo7	560	29	the	the	DET
cord-186927-b8i85vo7	560	30	previous	previous	ADJ
cord-186927-b8i85vo7	560	31	inequality	inequality	NOUN
cord-186927-b8i85vo7	560	32	implies	imply	VERB
cord-186927-b8i85vo7	560	33	that	that	SCONJ
cord-186927-b8i85vo7	560	34	moreover	moreover	ADV
cord-186927-b8i85vo7	560	35	,	,	PUNCT
cord-186927-b8i85vo7	560	36	thanks	thank	NOUN
cord-186927-b8i85vo7	560	37	to	to	ADP
cord-186927-b8i85vo7	560	38	assumption	assumption	NOUN
cord-186927-b8i85vo7	560	39	4.5	4.5	NUM
cord-186927-b8i85vo7	560	40	,	,	PUNCT
cord-186927-b8i85vo7	560	41	equality	equality	NOUN
cord-186927-b8i85vo7	560	42	is	be	AUX
cord-186927-b8i85vo7	560	43	achieved	achieve	VERB
cord-186927-b8i85vo7	560	44	if	if	SCONJ
cord-186927-b8i85vo7	560	45	and	and	CCONJ
cord-186927-b8i85vo7	560	46	only	only	ADV
cord-186927-b8i85vo7	560	47	if	if	SCONJ
cord-186927-b8i85vo7	560	48	we	we	PRON
cord-186927-b8i85vo7	560	49	choose	choose	VERB
cord-186927-b8i85vo7	560	50	the	the	DET
cord-186927-b8i85vo7	560	51	control	control	NOUN
cord-186927-b8i85vo7	560	52	β	β	NOUN
cord-186927-b8i85vo7	560	53	.	.	PUNCT
cord-186927-b8i85vo7	561	1	this	this	PRON
cord-186927-b8i85vo7	561	2	shows	show	VERB
cord-186927-b8i85vo7	561	3	that	that	SCONJ
cord-186927-b8i85vo7	561	4	in	in	ADP
cord-186927-b8i85vo7	561	5	the	the	DET
cord-186927-b8i85vo7	561	6	previous	previous	ADJ
cord-186927-b8i85vo7	561	7	result	result	NOUN
cord-186927-b8i85vo7	561	8	,	,	PUNCT
cord-186927-b8i85vo7	561	9	the	the	DET
cord-186927-b8i85vo7	561	10	fact	fact	NOUN
cord-186927-b8i85vo7	561	11	that	that	SCONJ
cord-186927-b8i85vo7	561	12	equation	equation	NOUN
cord-186927-b8i85vo7	561	13	(	(	PUNCT
cord-186927-b8i85vo7	561	14	4.13	4.13	NUM
cord-186927-b8i85vo7	561	15	)	)	PUNCT
cord-186927-b8i85vo7	561	16	holds	hold	VERB
cord-186927-b8i85vo7	561	17	with	with	ADP
cord-186927-b8i85vo7	561	18	an	an	DET
cord-186927-b8i85vo7	561	19	f	f	PROPN
cord-186927-b8i85vo7	561	20	p	p	X
cord-186927-b8i85vo7	561	21	α	α	PROPN
cord-186927-b8i85vo7	561	22	+	+	PUNCT
cord-186927-b8i85vo7	561	23	0	0	NUM
cord-186927-b8i85vo7	561	24	-measurable	-measurable	ADJ
cord-186927-b8i85vo7	561	25	random	random	ADJ
cord-186927-b8i85vo7	561	26	variable	variable	NOUN
cord-186927-b8i85vo7	561	27	and	and	CCONJ
cord-186927-b8i85vo7	561	28	not	not	PART
cord-186927-b8i85vo7	561	29	a	a	DET
cord-186927-b8i85vo7	561	30	constant	constant	ADJ
cord-186927-b8i85vo7	561	31	is	be	AUX
cord-186927-b8i85vo7	561	32	somewhat	somewhat	ADV
cord-186927-b8i85vo7	561	33	annoying	annoying	ADJ
cord-186927-b8i85vo7	561	34	.	.	PUNCT
cord-186927-b8i85vo7	562	1	the	the	DET
cord-186927-b8i85vo7	562	2	next	next	ADJ
cord-186927-b8i85vo7	562	3	lemma	lemma	NOUN
cord-186927-b8i85vo7	562	4	shows	show	VERB
cord-186927-b8i85vo7	562	5	that	that	SCONJ
cord-186927-b8i85vo7	562	6	we	we	PRON
cord-186927-b8i85vo7	562	7	can	can	AUX
cord-186927-b8i85vo7	562	8	actually	actually	ADV
cord-186927-b8i85vo7	562	9	have	have	VERB
cord-186927-b8i85vo7	562	10	the	the	DET
cord-186927-b8i85vo7	562	11	representation	representation	NOUN
cord-186927-b8i85vo7	562	12	with	with	ADP
cord-186927-b8i85vo7	562	13	a	a	DET
cord-186927-b8i85vo7	562	14	constant	constant	ADJ
cord-186927-b8i85vo7	562	15	without	without	ADP
cord-186927-b8i85vo7	562	16	loss	loss	NOUN
cord-186927-b8i85vo7	562	17	of	of	ADP
cord-186927-b8i85vo7	562	18	generality	generality	NOUN
cord-186927-b8i85vo7	562	19	.	.	PUNCT
cord-186927-b8i85vo7	563	1	lemma	lemma	NOUN
cord-186927-b8i85vo7	563	2	4.8	4.8	NUM
cord-186927-b8i85vo7	563	3	.	.	PUNCT
cord-186927-b8i85vo7	564	1	let	let	VERB
cord-186927-b8i85vo7	564	2	α	α	PROPN
cord-186927-b8i85vo7	564	3	∈	∈	VERB
cord-186927-b8i85vo7	564	4	a	a	PRON
cord-186927-b8i85vo7	564	5	,	,	PUNCT
cord-186927-b8i85vo7	564	6	and	and	CCONJ
cord-186927-b8i85vo7	564	7	fix	fix	VERB
cord-186927-b8i85vo7	564	8	an	an	DET
cord-186927-b8i85vo7	564	9	f	f	PROPN
cord-186927-b8i85vo7	564	10	p	p	X
cord-186927-b8i85vo7	564	11	α	α	PROPN
cord-186927-b8i85vo7	564	12	+	+	PUNCT
cord-186927-b8i85vo7	564	13	0	0	NUM
cord-186927-b8i85vo7	564	14	-measurable	-measurable	ADJ
cord-186927-b8i85vo7	564	15	random	random	ADJ
cord-186927-b8i85vo7	564	16	variable	variable	PROPN
cord-186927-b8i85vo7	564	17	y	y	PROPN
cord-186927-b8i85vo7	564	18	0	0	PUNCT
cord-186927-b8i85vo7	564	19	and	and	CCONJ
cord-186927-b8i85vo7	564	20	some	some	DET
cord-186927-b8i85vo7	564	21	z	z	NOUN
cord-186927-b8i85vo7	564	22	∈	∈	NOUN
cord-186927-b8i85vo7	565	1	h	h	NOUN
cord-186927-b8i85vo7	566	1	p	p	NOUN
cord-186927-b8i85vo7	567	1	(	(	PUNCT
cord-186927-b8i85vo7	567	2	p	p	NOUN
cord-186927-b8i85vo7	567	3	α	α	PROPN
cord-186927-b8i85vo7	567	4	)	)	PUNCT
cord-186927-b8i85vo7	567	5	.	.	PUNCT
cord-186927-b8i85vo7	568	1	define	define	VERB
cord-186927-b8i85vo7	568	2	the	the	DET
cord-186927-b8i85vo7	568	3	following	follow	VERB
cord-186927-b8i85vo7	568	4	contracts	contract	NOUN
cord-186927-b8i85vo7	568	5	then	then	ADV
cord-186927-b8i85vo7	568	6	proof	proof	NOUN
cord-186927-b8i85vo7	568	7	.	.	PUNCT
cord-186927-b8i85vo7	569	1	the	the	DET
cord-186927-b8i85vo7	569	2	equalities	equality	NOUN
cord-186927-b8i85vo7	569	3	for	for	ADP
cord-186927-b8i85vo7	569	4	(	(	PUNCT
cord-186927-b8i85vo7	569	5	α	α	PROPN
cord-186927-b8i85vo7	569	6	,	,	PUNCT
cord-186927-b8i85vo7	569	7	χ	χ	X
cord-186927-b8i85vo7	569	8	)	)	PUNCT
cord-186927-b8i85vo7	569	9	are	be	AUX
cord-186927-b8i85vo7	569	10	immediate	immediate	ADJ
cord-186927-b8i85vo7	569	11	from	from	ADP
cord-186927-b8i85vo7	569	12	theorem	theorem	PROPN
cord-186927-b8i85vo7	569	13	4.7	4.7	NUM
cord-186927-b8i85vo7	569	14	.	.	PUNCT
cord-186927-b8i85vo7	570	1	for	for	ADP
cord-186927-b8i85vo7	570	2	(	(	PUNCT
cord-186927-b8i85vo7	570	3	α	α	PROPN
cord-186927-b8i85vo7	570	4	,	,	PUNCT
cord-186927-b8i85vo7	570	5	χ	χ	NUM
cord-186927-b8i85vo7	570	6	)	)	PUNCT
cord-186927-b8i85vo7	570	7	,	,	PUNCT
cord-186927-b8i85vo7	570	8	we	we	PRON
cord-186927-b8i85vo7	570	9	have	have	AUX
cord-186927-b8i85vo7	570	10	,	,	PUNCT
cord-186927-b8i85vo7	570	11	using	use	VERB
cord-186927-b8i85vo7	570	12	the	the	DET
cord-186927-b8i85vo7	570	13	fact	fact	NOUN
cord-186927-b8i85vo7	570	14	that	that	SCONJ
cord-186927-b8i85vo7	570	15	z	z	PROPN
cord-186927-b8i85vo7	570	16	∈	∈	PROPN
cord-186927-b8i85vo7	570	17	h	h	NOUN
cord-186927-b8i85vo7	571	1	p	p	NOUN
cord-186927-b8i85vo7	572	1	(	(	PUNCT
cord-186927-b8i85vo7	572	2	p	p	NOUN
cord-186927-b8i85vo7	572	3	α	α	PROPN
cord-186927-b8i85vo7	572	4	)	)	PUNCT
cord-186927-b8i85vo7	572	5	,	,	PUNCT
cord-186927-b8i85vo7	572	6	and	and	CCONJ
cord-186927-b8i85vo7	572	7	thus	thus	ADV
cord-186927-b8i85vo7	572	8	z	z	PROPN
cord-186927-b8i85vo7	572	9	∈	∈	NOUN
cord-186927-b8i85vo7	572	10	h	h	X
cord-186927-b8i85vo7	573	1	q	q	INTJ
cord-186927-b8i85vo7	574	1	(	(	PUNCT
cord-186927-b8i85vo7	574	2	p	p	NOUN
cord-186927-b8i85vo7	574	3	α	α	PROPN
cord-186927-b8i85vo7	574	4	,	,	PUNCT
cord-186927-b8i85vo7	574	5	β	β	NOUN
cord-186927-b8i85vo7	574	6	)	)	PUNCT
cord-186927-b8i85vo7	574	7	for	for	ADP
cord-186927-b8i85vo7	574	8	any	any	DET
cord-186927-b8i85vo7	574	9	β	β	PROPN
cord-186927-b8i85vo7	574	10	∈	∈	PROPN
cord-186927-b8i85vo7	574	11	b	b	PROPN
cord-186927-b8i85vo7	574	12	and	and	CCONJ
cord-186927-b8i85vo7	574	13	any	any	DET
cord-186927-b8i85vo7	574	14	q	q	NOUN
cord-186927-b8i85vo7	574	15	∈	∈	NOUN
cord-186927-b8i85vo7	574	16	(	(	PUNCT
cord-186927-b8i85vo7	574	17	1	1	NUM
cord-186927-b8i85vo7	574	18	,	,	PUNCT
cord-186927-b8i85vo7	574	19	p	p	NOUN
cord-186927-b8i85vo7	574	20	)	)	PUNCT
cord-186927-b8i85vo7	574	21	since	since	SCONJ
cord-186927-b8i85vo7	574	22	the	the	DET
cord-186927-b8i85vo7	574	23	equality	equality	NOUN
cord-186927-b8i85vo7	574	24	is	be	AUX
cord-186927-b8i85vo7	574	25	attained	attain	VERB
cord-186927-b8i85vo7	574	26	if	if	SCONJ
cord-186927-b8i85vo7	574	27	and	and	CCONJ
cord-186927-b8i85vo7	574	28	only	only	ADV
cord-186927-b8i85vo7	574	29	if	if	SCONJ
cord-186927-b8i85vo7	574	30	we	we	PRON
cord-186927-b8i85vo7	574	31	choose	choose	VERB
cord-186927-b8i85vo7	575	1	β	β	NOUN
cord-186927-b8i85vo7	576	1	=	=	SYM
cord-186927-b8i85vo7	576	2	β	β	NOUN
cord-186927-b8i85vo7	576	3	,	,	PUNCT
cord-186927-b8i85vo7	576	4	this	this	PRON
cord-186927-b8i85vo7	576	5	ends	end	VERB
cord-186927-b8i85vo7	576	6	the	the	DET
cord-186927-b8i85vo7	576	7	proof	proof	NOUN
cord-186927-b8i85vo7	576	8	.	.	PUNCT
cord-186927-b8i85vo7	577	1	we	we	PRON
cord-186927-b8i85vo7	577	2	introduce	introduce	VERB
cord-186927-b8i85vo7	577	3	the	the	DET
cord-186927-b8i85vo7	577	4	class	class	NOUN
cord-186927-b8i85vo7	577	5	ξ	ξ	NUM
cord-186927-b8i85vo7	577	6	of	of	ADP
cord-186927-b8i85vo7	577	7	contracts	contract	NOUN
cord-186927-b8i85vo7	577	8	defined	define	VERB
cord-186927-b8i85vo7	577	9	by	by	ADP
cord-186927-b8i85vo7	577	10	all	all	DET
cord-186927-b8i85vo7	577	11	pairs	pair	NOUN
cord-186927-b8i85vo7	577	12	α	α	PROPN
cord-186927-b8i85vo7	577	13	,	,	PUNCT
cord-186927-b8i85vo7	577	14	u	u	PROPN
cord-186927-b8i85vo7	577	15	(	(	PUNCT
cord-186927-b8i85vo7	577	16	−1	−1	NOUN
cord-186927-b8i85vo7	577	17	)	)	PUNCT
cord-186927-b8i85vo7	577	18	(	(	PUNCT
cord-186927-b8i85vo7	577	19	−y	−y	ADV
cord-186927-b8i85vo7	577	20	y0,z	y0,z	PROPN
cord-186927-b8i85vo7	577	21	t	t	PROPN
cord-186927-b8i85vo7	577	22	)	)	PUNCT
cord-186927-b8i85vo7	577	23	with	with	ADP
cord-186927-b8i85vo7	577	24	α	α	PROPN
cord-186927-b8i85vo7	577	25	∈	∈	PROPN
cord-186927-b8i85vo7	577	26	a	a	PRON
cord-186927-b8i85vo7	577	27	,	,	PUNCT
cord-186927-b8i85vo7	577	28	and	and	CCONJ
cord-186927-b8i85vo7	577	29	y	y	PROPN
cord-186927-b8i85vo7	577	30	y0,z	y0,z	PROPN
cord-186927-b8i85vo7	577	31	a	a	DET
cord-186927-b8i85vo7	577	32	process	process	NOUN
cord-186927-b8i85vo7	577	33	given	give	VERB
cord-186927-b8i85vo7	577	34	,	,	PUNCT
cord-186927-b8i85vo7	577	35	p	p	NOUN
cord-186927-b8i85vo7	577	36	α	α	PROPN
cord-186927-b8i85vo7	577	37	-a.s	-a.s	INTJ
cord-186927-b8i85vo7	577	38	.	.	PUNCT
cord-186927-b8i85vo7	577	39	,	,	PUNCT
cord-186927-b8i85vo7	577	40	for	for	ADP
cord-186927-b8i85vo7	577	41	all	all	DET
cord-186927-b8i85vo7	577	42	t	t	NOUN
cord-186927-b8i85vo7	577	43	∈	∈	NOUN
cord-186927-b8i85vo7	577	44	[	[	X
cord-186927-b8i85vo7	577	45	0	0	NUM
cord-186927-b8i85vo7	577	46	,	,	PUNCT
cord-186927-b8i85vo7	577	47	t	t	NOUN
cord-186927-b8i85vo7	577	48	]	]	PUNCT
cord-186927-b8i85vo7	577	49	by	by	ADP
cord-186927-b8i85vo7	577	50	with	with	ADP
cord-186927-b8i85vo7	577	51	z	z	PROPN
cord-186927-b8i85vo7	577	52	∈	∈	PROPN
cord-186927-b8i85vo7	578	1	h	h	X
cord-186927-b8i85vo7	578	2	p	p	NOUN
cord-186927-b8i85vo7	578	3	(	(	PUNCT
cord-186927-b8i85vo7	578	4	p	p	NOUN
cord-186927-b8i85vo7	578	5	α	α	PROPN
cord-186927-b8i85vo7	578	6	)	)	PUNCT
cord-186927-b8i85vo7	578	7	and	and	CCONJ
cord-186927-b8i85vo7	578	8	y	y	PROPN
cord-186927-b8i85vo7	578	9	0	0	PUNCT
cord-186927-b8i85vo7	578	10	∈	∈	NOUN
cord-186927-b8i85vo7	579	1	[	[	X
cord-186927-b8i85vo7	579	2	v	v	NOUN
cord-186927-b8i85vo7	579	3	,	,	PUNCT
cord-186927-b8i85vo7	579	4	∞	∞	NUM
cord-186927-b8i85vo7	579	5	)	)	PUNCT
cord-186927-b8i85vo7	579	6	.	.	PUNCT
cord-186927-b8i85vo7	580	1	we	we	PRON
cord-186927-b8i85vo7	580	2	also	also	ADV
cord-186927-b8i85vo7	580	3	denote	denote	VERB
cord-186927-b8i85vo7	580	4	for	for	ADP
cord-186927-b8i85vo7	580	5	simplicity	simplicity	NOUN
cord-186927-b8i85vo7	580	6	p	p	PROPN
cord-186927-b8i85vo7	580	7	,	,	PUNCT
cord-186927-b8i85vo7	580	8	α	α	PROPN
cord-186927-b8i85vo7	580	9	,	,	PUNCT
cord-186927-b8i85vo7	580	10	z	z	X
cord-186927-b8i85vo7	580	11	:	:	PUNCT
cord-186927-b8i85vo7	580	12	=	=	NOUN
cord-186927-b8i85vo7	580	13	p	p	X
cord-186927-b8i85vo7	580	14	α	α	PROPN
cord-186927-b8i85vo7	580	15	,	,	PUNCT
cord-186927-b8i85vo7	580	16	b	b	PROPN
cord-186927-b8i85vo7	580	17	(	(	PUNCT
cord-186927-b8i85vo7	580	18	s·,i·,z	s·,i·,z	PROPN
cord-186927-b8i85vo7	580	19	·	·	PUNCT
cord-186927-b8i85vo7	580	20	)	)	PUNCT
cord-186927-b8i85vo7	580	21	.	.	PUNCT
cord-186927-b8i85vo7	581	1	lemma	lemma	NOUN
cord-186927-b8i85vo7	581	2	4.9	4.9	NUM
cord-186927-b8i85vo7	581	3	.	.	PUNCT
cord-186927-b8i85vo7	582	1	the	the	DET
cord-186927-b8i85vo7	582	2	problem	problem	NOUN
cord-186927-b8i85vo7	582	3	of	of	ADP
cord-186927-b8i85vo7	582	4	the	the	DET
cord-186927-b8i85vo7	582	5	government	government	NOUN
cord-186927-b8i85vo7	582	6	given	give	VERB
cord-186927-b8i85vo7	582	7	by	by	ADP
cord-186927-b8i85vo7	582	8	(	(	PUNCT
cord-186927-b8i85vo7	582	9	4.10	4.10	NUM
cord-186927-b8i85vo7	582	10	)	)	PUNCT
cord-186927-b8i85vo7	582	11	can	can	AUX
cord-186927-b8i85vo7	582	12	be	be	AUX
cord-186927-b8i85vo7	582	13	rewritten	rewrite	VERB
cord-186927-b8i85vo7	582	14	proof	proof	NOUN
cord-186927-b8i85vo7	582	15	.	.	PUNCT
cord-186927-b8i85vo7	583	1	from	from	ADP
cord-186927-b8i85vo7	583	2	theorem	theorem	PROPN
cord-186927-b8i85vo7	583	3	4.7	4.7	NUM
cord-186927-b8i85vo7	583	4	and	and	CCONJ
cord-186927-b8i85vo7	583	5	lemma	lemma	NOUN
cord-186927-b8i85vo7	583	6	4.8	4.8	NUM
cord-186927-b8i85vo7	583	7	,	,	PUNCT
cord-186927-b8i85vo7	583	8	we	we	PRON
cord-186927-b8i85vo7	583	9	know	know	VERB
cord-186927-b8i85vo7	583	10	that	that	SCONJ
cord-186927-b8i85vo7	583	11	ξ	ξ	X
cord-186927-b8i85vo7	583	12	⊂	⊂	X
cord-186927-b8i85vo7	583	13	ξ	ξ	PROPN
cord-186927-b8i85vo7	583	14	.	.	PROPN
cord-186927-b8i85vo7	583	15	to	to	PART
cord-186927-b8i85vo7	583	16	prover	prover	VERB
cord-186927-b8i85vo7	583	17	the	the	DET
cord-186927-b8i85vo7	583	18	reverse	reverse	ADJ
cord-186927-b8i85vo7	583	19	inclusion	inclusion	NOUN
cord-186927-b8i85vo7	583	20	,	,	PUNCT
cord-186927-b8i85vo7	583	21	let	let	VERB
cord-186927-b8i85vo7	583	22	us	we	PRON
cord-186927-b8i85vo7	583	23	now	now	ADV
cord-186927-b8i85vo7	583	24	consider	consider	VERB
cord-186927-b8i85vo7	583	25	a	a	DET
cord-186927-b8i85vo7	583	26	pair	pair	NOUN
cord-186927-b8i85vo7	583	27	α	α	NOUN
cord-186927-b8i85vo7	583	28	,	,	PUNCT
cord-186927-b8i85vo7	583	29	−u	−u	PROPN
cord-186927-b8i85vo7	583	30	(	(	PUNCT
cord-186927-b8i85vo7	583	31	−1	−1	NOUN
cord-186927-b8i85vo7	583	32	)	)	PUNCT
cord-186927-b8i85vo7	584	1	y	y	PROPN
cord-186927-b8i85vo7	584	2	y0,z	y0,z	PROPN
cord-186927-b8i85vo7	584	3	t	t	PROPN
cord-186927-b8i85vo7	584	4	∈	∈	PROPN
cord-186927-b8i85vo7	584	5	ξ	ξ	PROPN
cord-186927-b8i85vo7	584	6	.	.	PUNCT
cord-186927-b8i85vo7	585	1	we	we	PRON
cord-186927-b8i85vo7	585	2	simply	simply	ADV
cord-186927-b8i85vo7	585	3	need	need	VERB
cord-186927-b8i85vo7	585	4	to	to	PART
cord-186927-b8i85vo7	585	5	ensure	ensure	VERB
cord-186927-b8i85vo7	585	6	that	that	SCONJ
cord-186927-b8i85vo7	585	7	−u	−u	PROPN
cord-186927-b8i85vo7	585	8	(	(	PUNCT
cord-186927-b8i85vo7	585	9	−1	−1	NOUN
cord-186927-b8i85vo7	585	10	)	)	PUNCT
cord-186927-b8i85vo7	586	1	y	y	PROPN
cord-186927-b8i85vo7	586	2	y0,z	y0,z	PROPN
cord-186927-b8i85vo7	586	3	t	t	PROPN
cord-186927-b8i85vo7	586	4	∈	∈	PROPN
cord-186927-b8i85vo7	586	5	c.	c.	PROPN
cord-186927-b8i85vo7	586	6	we	we	PRON
cord-186927-b8i85vo7	586	7	have	have	AUX
cord-186927-b8i85vo7	586	8	,	,	PUNCT
cord-186927-b8i85vo7	586	9	using	use	VERB
cord-186927-b8i85vo7	586	10	the	the	DET
cord-186927-b8i85vo7	586	11	fact	fact	NOUN
cord-186927-b8i85vo7	586	12	that	that	SCONJ
cord-186927-b8i85vo7	586	13	u	u	PRON
cord-186927-b8i85vo7	586	14	is	be	AUX
cord-186927-b8i85vo7	586	15	continuous	continuous	ADJ
cord-186927-b8i85vo7	586	16	,	,	PUNCT
cord-186927-b8i85vo7	586	17	b	b	PROPN
cord-186927-b8i85vo7	586	18	is	be	AUX
cord-186927-b8i85vo7	586	19	compact	compact	ADJ
cord-186927-b8i85vo7	586	20	,	,	PUNCT
cord-186927-b8i85vo7	586	21	α	α	PRON
cord-186927-b8i85vo7	586	22	is	be	AUX
cord-186927-b8i85vo7	586	23	bounded	bound	VERB
cord-186927-b8i85vo7	586	24	below	below	ADV
cord-186927-b8i85vo7	586	25	by	by	ADP
cord-186927-b8i85vo7	586	26	ε	ε	NOUN
cord-186927-b8i85vo7	586	27	,	,	PUNCT
cord-186927-b8i85vo7	586	28	and	and	CCONJ
cord-186927-b8i85vo7	586	29	s	s	X
cord-186927-b8i85vo7	587	1	and	and	CCONJ
cord-186927-b8i85vo7	587	2	i	i	PRON
cord-186927-b8i85vo7	587	3	are	be	AUX
cord-186927-b8i85vo7	587	4	bounded	bound	VERB
cord-186927-b8i85vo7	587	5	,	,	PUNCT
cord-186927-b8i85vo7	587	6	that	that	SCONJ
cord-186927-b8i85vo7	587	7	there	there	PRON
cord-186927-b8i85vo7	587	8	exists	exist	VERB
cord-186927-b8i85vo7	587	9	some	some	DET
cord-186927-b8i85vo7	587	10	constant	constant	ADJ
cord-186927-b8i85vo7	587	11	c	c	NOUN
cord-186927-b8i85vo7	587	12	>	>	PUNCT
cord-186927-b8i85vo7	587	13	0	0	NUM
cord-186927-b8i85vo7	587	14	,	,	PUNCT
cord-186927-b8i85vo7	587	15	which	which	PRON
cord-186927-b8i85vo7	587	16	may	may	AUX
cord-186927-b8i85vo7	587	17	change	change	VERB
cord-186927-b8i85vo7	587	18	value	value	NOUN
cord-186927-b8i85vo7	587	19	from	from	ADP
cord-186927-b8i85vo7	587	20	ligne	ligne	PROPN
cord-186927-b8i85vo7	587	21	to	to	ADP
cord-186927-b8i85vo7	587	22	ligne	ligne	PROPN
cord-186927-b8i85vo7	587	23	,	,	PUNCT
cord-186927-b8i85vo7	587	24	such	such	ADJ
cord-186927-b8i85vo7	587	25	that	that	SCONJ
cord-186927-b8i85vo7	587	26	where	where	SCONJ
cord-186927-b8i85vo7	587	27	we	we	PRON
cord-186927-b8i85vo7	587	28	used	use	VERB
cord-186927-b8i85vo7	587	29	burkholder	burkholder	PROPN
cord-186927-b8i85vo7	587	30	-	-	PUNCT
cord-186927-b8i85vo7	587	31	davis	davis	PROPN
cord-186927-b8i85vo7	587	32	-	-	PUNCT
cord-186927-b8i85vo7	587	33	gundy	gundy	PROPN
cord-186927-b8i85vo7	587	34	's	's	PART
cord-186927-b8i85vo7	587	35	inequality	inequality	NOUN
cord-186927-b8i85vo7	587	36	and	and	CCONJ
cord-186927-b8i85vo7	587	37	cauchy	cauchy	PROPN
cord-186927-b8i85vo7	587	38	-	-	PUNCT
cord-186927-b8i85vo7	587	39	schwarz	schwarz	PROPN
cord-186927-b8i85vo7	587	40	's	's	PART
cord-186927-b8i85vo7	587	41	inequality	inequality	NOUN
cord-186927-b8i85vo7	587	42	.	.	PUNCT
cord-186927-b8i85vo7	588	1	this	this	PRON
cord-186927-b8i85vo7	588	2	proves	prove	VERB
cord-186927-b8i85vo7	588	3	the	the	DET
cord-186927-b8i85vo7	588	4	reverse	reverse	ADJ
cord-186927-b8i85vo7	588	5	inclusion	inclusion	NOUN
cord-186927-b8i85vo7	588	6	and	and	CCONJ
cord-186927-b8i85vo7	588	7	thus	thus	ADV
cord-186927-b8i85vo7	588	8	that	that	SCONJ
cord-186927-b8i85vo7	588	9	ξ	ξ	PROPN
cord-186927-b8i85vo7	588	10	=	=	SYM
cord-186927-b8i85vo7	588	11	ξ	ξ	PROPN
cord-186927-b8i85vo7	588	12	.	.	PROPN
cord-186927-b8i85vo7	589	1	next	next	ADV
cord-186927-b8i85vo7	589	2	,	,	PUNCT
cord-186927-b8i85vo7	589	3	we	we	PRON
cord-186927-b8i85vo7	589	4	use	use	VERB
cord-186927-b8i85vo7	589	5	lemma	lemma	NOUN
cord-186927-b8i85vo7	589	6	4.8	4.8	NUM
cord-186927-b8i85vo7	589	7	to	to	PART
cord-186927-b8i85vo7	589	8	realise	realise	VERB
cord-186927-b8i85vo7	589	9	that	that	SCONJ
cord-186927-b8i85vo7	589	10	b	b	X
cord-186927-b8i85vo7	589	11	α	α	PROPN
cord-186927-b8i85vo7	589	12	,	,	PUNCT
cord-186927-b8i85vo7	589	13	to	to	PART
cord-186927-b8i85vo7	589	14	conclude	conclude	VERB
cord-186927-b8i85vo7	589	15	,	,	PUNCT
cord-186927-b8i85vo7	589	16	it	it	PRON
cord-186927-b8i85vo7	589	17	is	be	AUX
cord-186927-b8i85vo7	589	18	enough	enough	ADJ
cord-186927-b8i85vo7	589	19	to	to	PART
cord-186927-b8i85vo7	589	20	notice	notice	VERB
cord-186927-b8i85vo7	589	21	that	that	SCONJ
cord-186927-b8i85vo7	589	22	the	the	DET
cord-186927-b8i85vo7	589	23	following	follow	VERB
cord-186927-b8i85vo7	589	24	map	map	NOUN
cord-186927-b8i85vo7	589	25	is	be	AUX
cord-186927-b8i85vo7	589	26	non	non	ADJ
cord-186927-b8i85vo7	589	27	-	-	ADJ
cord-186927-b8i85vo7	589	28	increasing	increase	VERB
cord-186927-b8i85vo7	589	29	.	.	PUNCT
cord-186927-b8i85vo7	590	1	lemma	lemma	NOUN
cord-186927-b8i85vo7	590	2	4.9	4.9	NUM
cord-186927-b8i85vo7	590	3	states	state	NOUN
cord-186927-b8i85vo7	590	4	that	that	SCONJ
cord-186927-b8i85vo7	590	5	the	the	DET
cord-186927-b8i85vo7	590	6	problem	problem	NOUN
cord-186927-b8i85vo7	590	7	of	of	ADP
cord-186927-b8i85vo7	590	8	the	the	DET
cord-186927-b8i85vo7	590	9	government	government	NOUN
cord-186927-b8i85vo7	590	10	can	can	AUX
cord-186927-b8i85vo7	590	11	be	be	AUX
cord-186927-b8i85vo7	590	12	can	can	AUX
cord-186927-b8i85vo7	590	13	be	be	AUX
cord-186927-b8i85vo7	590	14	reduced	reduce	VERB
cord-186927-b8i85vo7	590	15	to	to	ADP
cord-186927-b8i85vo7	590	16	a	a	DET
cord-186927-b8i85vo7	590	17	more	more	ADV
cord-186927-b8i85vo7	590	18	standard	standard	ADJ
cord-186927-b8i85vo7	590	19	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	590	20	control	control	NOUN
cord-186927-b8i85vo7	590	21	problem	problem	NOUN
cord-186927-b8i85vo7	590	22	.	.	PUNCT
cord-186927-b8i85vo7	591	1	however	however	ADV
cord-186927-b8i85vo7	591	2	,	,	PUNCT
cord-186927-b8i85vo7	591	3	in	in	ADP
cord-186927-b8i85vo7	591	4	the	the	DET
cord-186927-b8i85vo7	591	5	current	current	ADJ
cord-186927-b8i85vo7	591	6	formulation	formulation	NOUN
cord-186927-b8i85vo7	591	7	,	,	PUNCT
cord-186927-b8i85vo7	591	8	one	one	NUM
cord-186927-b8i85vo7	591	9	of	of	ADP
cord-186927-b8i85vo7	591	10	the	the	DET
cord-186927-b8i85vo7	591	11	three	three	NUM
cord-186927-b8i85vo7	591	12	state	state	NOUN
cord-186927-b8i85vo7	591	13	variables	variable	NOUN
cord-186927-b8i85vo7	591	14	,	,	PUNCT
cord-186927-b8i85vo7	591	15	namely	namely	ADV
cord-186927-b8i85vo7	591	16	y	y	PROPN
cord-186927-b8i85vo7	591	17	,	,	PUNCT
cord-186927-b8i85vo7	591	18	is	be	AUX
cord-186927-b8i85vo7	591	19	considered	consider	VERB
cord-186927-b8i85vo7	591	20	in	in	ADP
cord-186927-b8i85vo7	591	21	the	the	DET
cord-186927-b8i85vo7	591	22	strong	strong	ADJ
cord-186927-b8i85vo7	591	23	formulation	formulation	NOUN
cord-186927-b8i85vo7	591	24	,	,	PUNCT
cord-186927-b8i85vo7	591	25	while	while	SCONJ
cord-186927-b8i85vo7	591	26	the	the	DET
cord-186927-b8i85vo7	591	27	other	other	ADJ
cord-186927-b8i85vo7	591	28	state	state	NOUN
cord-186927-b8i85vo7	591	29	variables	variable	NOUN
cord-186927-b8i85vo7	591	30	s	s	PROPN
cord-186927-b8i85vo7	591	31	and	and	CCONJ
cord-186927-b8i85vo7	591	32	i	i	PRON
cord-186927-b8i85vo7	591	33	are	be	AUX
cord-186927-b8i85vo7	591	34	considered	consider	VERB
cord-186927-b8i85vo7	591	35	in	in	ADP
cord-186927-b8i85vo7	591	36	weak	weak	ADJ
cord-186927-b8i85vo7	591	37	formulation	formulation	NOUN
cord-186927-b8i85vo7	591	38	.	.	PUNCT
cord-186927-b8i85vo7	592	1	indeed	indeed	ADV
cord-186927-b8i85vo7	592	2	,	,	PUNCT
cord-186927-b8i85vo7	592	3	the	the	DET
cord-186927-b8i85vo7	592	4	variable	variable	PROPN
cord-186927-b8i85vo7	592	5	y	y	PROPN
cord-186927-b8i85vo7	592	6	is	be	AUX
cord-186927-b8i85vo7	592	7	indexed	index	VERB
cord-186927-b8i85vo7	592	8	by	by	ADP
cord-186927-b8i85vo7	592	9	the	the	DET
cord-186927-b8i85vo7	592	10	control	control	PROPN
cord-186927-b8i85vo7	592	11	z	z	PROPN
cord-186927-b8i85vo7	592	12	,	,	PUNCT
cord-186927-b8i85vo7	592	13	while	while	SCONJ
cord-186927-b8i85vo7	592	14	the	the	DET
cord-186927-b8i85vo7	592	15	control	control	NOUN
cord-186927-b8i85vo7	592	16	(	(	PUNCT
cord-186927-b8i85vo7	592	17	α	α	PROPN
cord-186927-b8i85vo7	592	18	,	,	PUNCT
cord-186927-b8i85vo7	592	19	z	z	NUM
cord-186927-b8i85vo7	592	20	)	)	PUNCT
cord-186927-b8i85vo7	592	21	only	only	ADV
cord-186927-b8i85vo7	592	22	impacts	impact	VERB
cord-186927-b8i85vo7	592	23	the	the	DET
cord-186927-b8i85vo7	592	24	distribution	distribution	NOUN
cord-186927-b8i85vo7	592	25	of	of	ADP
cord-186927-b8i85vo7	592	26	s	s	PROPN
cord-186927-b8i85vo7	592	27	and	and	CCONJ
cord-186927-b8i85vo7	592	28	i	i	PRON
cord-186927-b8i85vo7	592	29	through	through	ADP
cord-186927-b8i85vo7	592	30	p	p	PROPN
cord-186927-b8i85vo7	592	31	,	,	PUNCT
cord-186927-b8i85vo7	592	32	α	α	PROPN
cord-186927-b8i85vo7	592	33	,	,	PUNCT
cord-186927-b8i85vo7	592	34	z	z	NOUN
cord-186927-b8i85vo7	592	35	.	.	PUNCT
cord-186927-b8i85vo7	593	1	as	as	SCONJ
cord-186927-b8i85vo7	593	2	highlighted	highlight	VERB
cord-186927-b8i85vo7	593	3	by	by	ADP
cord-186927-b8i85vo7	593	4	cvitanić	cvitanić	PROPN
cord-186927-b8i85vo7	593	5	and	and	CCONJ
cord-186927-b8i85vo7	593	6	zhang	zhang	PROPN
cord-186927-b8i85vo7	594	1	[	[	PUNCT
cord-186927-b8i85vo7	594	2	27	27	NUM
cord-186927-b8i85vo7	594	3	,	,	PUNCT
cord-186927-b8i85vo7	594	4	remark	remark	NOUN
cord-186927-b8i85vo7	594	5	5.1.3	5.1.3	NUM
cord-186927-b8i85vo7	594	6	]	]	PUNCT
cord-186927-b8i85vo7	594	7	,	,	PUNCT
cord-186927-b8i85vo7	594	8	it	it	PRON
cord-186927-b8i85vo7	594	9	makes	make	VERB
cord-186927-b8i85vo7	594	10	little	little	ADJ
cord-186927-b8i85vo7	594	11	sense	sense	NOUN
cord-186927-b8i85vo7	594	12	to	to	PART
cord-186927-b8i85vo7	594	13	consider	consider	VERB
cord-186927-b8i85vo7	594	14	a	a	DET
cord-186927-b8i85vo7	594	15	control	control	NOUN
cord-186927-b8i85vo7	594	16	problem	problem	NOUN
cord-186927-b8i85vo7	594	17	of	of	ADP
cord-186927-b8i85vo7	594	18	this	this	DET
cord-186927-b8i85vo7	594	19	form	form	NOUN
cord-186927-b8i85vo7	594	20	directly	directly	ADV
cord-186927-b8i85vo7	594	21	.	.	PUNCT
cord-186927-b8i85vo7	595	1	therefore	therefore	ADV
cord-186927-b8i85vo7	595	2	,	,	PUNCT
cord-186927-b8i85vo7	595	3	contrary	contrary	ADJ
cord-186927-b8i85vo7	595	4	to	to	ADP
cord-186927-b8i85vo7	595	5	what	what	PRON
cord-186927-b8i85vo7	595	6	is	be	AUX
cord-186927-b8i85vo7	595	7	usually	usually	ADV
cord-186927-b8i85vo7	595	8	done	do	VERB
cord-186927-b8i85vo7	595	9	in	in	ADP
cord-186927-b8i85vo7	595	10	principal	principal	ADJ
cord-186927-b8i85vo7	595	11	-	-	PUNCT
cord-186927-b8i85vo7	595	12	agent	agent	NOUN
cord-186927-b8i85vo7	595	13	problems	problem	NOUN
cord-186927-b8i85vo7	595	14	(	(	PUNCT
cord-186927-b8i85vo7	595	15	see	see	VERB
cord-186927-b8i85vo7	595	16	,	,	PUNCT
cord-186927-b8i85vo7	595	17	e.g.	e.g.	ADV
cord-186927-b8i85vo7	595	18	,	,	PUNCT
cord-186927-b8i85vo7	595	19	[	[	X
cord-186927-b8i85vo7	595	20	29	29	NUM
cord-186927-b8i85vo7	595	21	]	]	PUNCT
cord-186927-b8i85vo7	595	22	)	)	PUNCT
cord-186927-b8i85vo7	595	23	,	,	PUNCT
cord-186927-b8i85vo7	595	24	we	we	PRON
cord-186927-b8i85vo7	595	25	decided	decide	VERB
cord-186927-b8i85vo7	595	26	to	to	PART
cord-186927-b8i85vo7	595	27	adopt	adopt	VERB
cord-186927-b8i85vo7	595	28	the	the	DET
cord-186927-b8i85vo7	595	29	weak	weak	ADJ
cord-186927-b8i85vo7	595	30	formulation	formulation	NOUN
cord-186927-b8i85vo7	595	31	to	to	PART
cord-186927-b8i85vo7	595	32	rigorously	rigorously	ADV
cord-186927-b8i85vo7	595	33	write	write	VERB
cord-186927-b8i85vo7	595	34	the	the	DET
cord-186927-b8i85vo7	595	35	problem	problem	NOUN
cord-186927-b8i85vo7	595	36	of	of	ADP
cord-186927-b8i85vo7	595	37	the	the	DET
cord-186927-b8i85vo7	595	38	principal	principal	NOUN
cord-186927-b8i85vo7	595	39	,	,	PUNCT
cord-186927-b8i85vo7	595	40	since	since	SCONJ
cord-186927-b8i85vo7	595	41	this	this	PRON
cord-186927-b8i85vo7	595	42	is	be	AUX
cord-186927-b8i85vo7	595	43	the	the	DET
cord-186927-b8i85vo7	595	44	formulation	formulation	NOUN
cord-186927-b8i85vo7	595	45	which	which	PRON
cord-186927-b8i85vo7	595	46	makes	make	VERB
cord-186927-b8i85vo7	595	47	sense	sense	NOUN
cord-186927-b8i85vo7	595	48	for	for	ADP
cord-186927-b8i85vo7	595	49	the	the	DET
cord-186927-b8i85vo7	595	50	agent	agent	NOUN
cord-186927-b8i85vo7	595	51	's	's	PART
cord-186927-b8i85vo7	595	52	problem	problem	NOUN
cord-186927-b8i85vo7	595	53	.	.	PUNCT
cord-186927-b8i85vo7	596	1	we	we	PRON
cord-186927-b8i85vo7	596	2	will	will	AUX
cord-186927-b8i85vo7	596	3	thus	thus	ADV
cord-186927-b8i85vo7	596	4	formulate	formulate	VERB
cord-186927-b8i85vo7	596	5	it	it	PRON
cord-186927-b8i85vo7	596	6	below	below	ADV
cord-186927-b8i85vo7	596	7	,	,	PUNCT
cord-186927-b8i85vo7	596	8	for	for	ADP
cord-186927-b8i85vo7	596	9	the	the	DET
cord-186927-b8i85vo7	596	10	sake	sake	NOUN
cord-186927-b8i85vo7	596	11	of	of	ADP
cord-186927-b8i85vo7	596	12	thoroughness	thoroughness	NOUN
cord-186927-b8i85vo7	596	13	.	.	PUNCT
cord-186927-b8i85vo7	597	1	12	12	NUM
cord-186927-b8i85vo7	597	2	let	let	VERB
cord-186927-b8i85vo7	597	3	v	v	NOUN
cord-186927-b8i85vo7	597	4	:	:	PUNCT
cord-186927-b8i85vo7	597	5	=	=	NOUN
cord-186927-b8i85vo7	597	6	r	r	NOUN
cord-186927-b8i85vo7	597	7	×	×	NOUN
cord-186927-b8i85vo7	597	8	a	a	PRON
cord-186927-b8i85vo7	597	9	and	and	CCONJ
cord-186927-b8i85vo7	597	10	consider	consider	VERB
cord-186927-b8i85vo7	597	11	the	the	DET
cord-186927-b8i85vo7	597	12	sets	set	NOUN
cord-186927-b8i85vo7	597	13	v	v	X
cord-186927-b8i85vo7	597	14	as	as	SCONJ
cord-186927-b8i85vo7	597	15	we	we	PRON
cord-186927-b8i85vo7	597	16	defined	define	VERB
cord-186927-b8i85vo7	597	17	a	a	PRON
cord-186927-b8i85vo7	597	18	in	in	ADP
cord-186927-b8i85vo7	597	19	section	section	NOUN
cord-186927-b8i85vo7	597	20	4.1.1	4.1.1	NUM
cord-186927-b8i85vo7	597	21	.	.	PUNCT
cord-186927-b8i85vo7	598	1	the	the	DET
cord-186927-b8i85vo7	598	2	intuition	intuition	NOUN
cord-186927-b8i85vo7	598	3	is	be	AUX
cord-186927-b8i85vo7	598	4	that	that	SCONJ
cord-186927-b8i85vo7	598	5	the	the	DET
cord-186927-b8i85vo7	598	6	principal	principal	NOUN
cord-186927-b8i85vo7	598	7	's	's	PART
cord-186927-b8i85vo7	598	8	problem	problem	NOUN
cord-186927-b8i85vo7	598	9	depends	depend	VERB
cord-186927-b8i85vo7	598	10	only	only	ADV
cord-186927-b8i85vo7	598	11	on	on	ADP
cord-186927-b8i85vo7	598	12	time	time	NOUN
cord-186927-b8i85vo7	598	13	and	and	CCONJ
cord-186927-b8i85vo7	598	14	on	on	ADP
cord-186927-b8i85vo7	598	15	the	the	DET
cord-186927-b8i85vo7	598	16	state	state	NOUN
cord-186927-b8i85vo7	598	17	variable	variable	NOUN
cord-186927-b8i85vo7	598	18	x	x	NOUN
cord-186927-b8i85vo7	598	19	=	=	PROPN
cord-186927-b8i85vo7	598	20	(	(	PUNCT
cord-186927-b8i85vo7	598	21	s	s	PROPN
cord-186927-b8i85vo7	598	22	,	,	PUNCT
cord-186927-b8i85vo7	598	23	i	i	PROPN
cord-186927-b8i85vo7	598	24	,	,	PUNCT
cord-186927-b8i85vo7	598	25	y	y	PROPN
cord-186927-b8i85vo7	598	26	)	)	PUNCT
cord-186927-b8i85vo7	598	27	.	.	PUNCT
cord-186927-b8i85vo7	599	1	following	follow	VERB
cord-186927-b8i85vo7	599	2	the	the	DET
cord-186927-b8i85vo7	599	3	same	same	ADJ
cord-186927-b8i85vo7	599	4	methodology	methodology	NOUN
cord-186927-b8i85vo7	599	5	used	use	VERB
cord-186927-b8i85vo7	599	6	for	for	ADP
cord-186927-b8i85vo7	599	7	the	the	DET
cord-186927-b8i85vo7	599	8	agent	agent	NOUN
cord-186927-b8i85vo7	599	9	's	's	PART
cord-186927-b8i85vo7	599	10	problem	problem	NOUN
cord-186927-b8i85vo7	599	11	,	,	PUNCT
cord-186927-b8i85vo7	599	12	to	to	PART
cord-186927-b8i85vo7	599	13	properly	properly	ADV
cord-186927-b8i85vo7	599	14	define	define	VERB
cord-186927-b8i85vo7	599	15	the	the	DET
cord-186927-b8i85vo7	599	16	weak	weak	ADJ
cord-186927-b8i85vo7	599	17	formulation	formulation	NOUN
cord-186927-b8i85vo7	599	18	of	of	ADP
cord-186927-b8i85vo7	599	19	the	the	DET
cord-186927-b8i85vo7	599	20	principal	principal	NOUN
cord-186927-b8i85vo7	599	21	's	's	PART
cord-186927-b8i85vo7	599	22	problem	problem	NOUN
cord-186927-b8i85vo7	599	23	,	,	PUNCT
cord-186927-b8i85vo7	599	24	we	we	PRON
cord-186927-b8i85vo7	599	25	are	be	AUX
cord-186927-b8i85vo7	599	26	led	lead	VERB
cord-186927-b8i85vo7	599	27	to	to	PART
cord-186927-b8i85vo7	599	28	consider	consider	VERB
cord-186927-b8i85vo7	599	29	the	the	DET
cord-186927-b8i85vo7	599	30	following	follow	VERB
cord-186927-b8i85vo7	599	31	canonical	canonical	ADJ
cord-186927-b8i85vo7	599	32	space	space	NOUN
cord-186927-b8i85vo7	599	33	we	we	PRON
cord-186927-b8i85vo7	599	34	let	let	VERB
cord-186927-b8i85vo7	599	35	g	g	NOUN
cord-186927-b8i85vo7	599	36	be	be	AUX
cord-186927-b8i85vo7	599	37	the	the	DET
cord-186927-b8i85vo7	599	38	borel	borel	PROPN
cord-186927-b8i85vo7	599	39	σ	σ	PROPN
cord-186927-b8i85vo7	599	40	-	-	PUNCT
cord-186927-b8i85vo7	599	41	algebra	algebra	NOUN
cord-186927-b8i85vo7	599	42	on	on	ADP
cord-186927-b8i85vo7	599	43	ω	ω	PROPN
cord-186927-b8i85vo7	599	44	p	p	NOUN
cord-186927-b8i85vo7	599	45	,	,	PUNCT
cord-186927-b8i85vo7	599	46	and	and	CCONJ
cord-186927-b8i85vo7	599	47	g	g	NOUN
cord-186927-b8i85vo7	599	48	:	:	PUNCT
cord-186927-b8i85vo7	599	49	=	=	PROPN
cord-186927-b8i85vo7	599	50	(	(	PUNCT
cord-186927-b8i85vo7	599	51	g	g	PROPN
cord-186927-b8i85vo7	599	52	t	t	PROPN
cord-186927-b8i85vo7	599	53	)	)	PUNCT
cord-186927-b8i85vo7	600	1	t∈[0,t	t∈[0,t	X
cord-186927-b8i85vo7	600	2	]	]	PUNCT
cord-186927-b8i85vo7	600	3	the	the	DET
cord-186927-b8i85vo7	600	4	natural	natural	ADJ
cord-186927-b8i85vo7	600	5	filtration	filtration	NOUN
cord-186927-b8i85vo7	600	6	of	of	ADP
cord-186927-b8i85vo7	600	7	(	(	PUNCT
cord-186927-b8i85vo7	600	8	s	s	PROPN
cord-186927-b8i85vo7	600	9	,	,	PUNCT
cord-186927-b8i85vo7	600	10	i	i	PROPN
cord-186927-b8i85vo7	600	11	,	,	PUNCT
cord-186927-b8i85vo7	600	12	y	y	PROPN
cord-186927-b8i85vo7	600	13	,	,	PUNCT
cord-186927-b8i85vo7	600	14	λ	λ	PROPN
cord-186927-b8i85vo7	600	15	p	p	PROPN
cord-186927-b8i85vo7	600	16	)	)	PUNCT
cord-186927-b8i85vo7	600	17	,	,	PUNCT
cord-186927-b8i85vo7	600	18	defined	define	VERB
cord-186927-b8i85vo7	600	19	in	in	ADP
cord-186927-b8i85vo7	600	20	the	the	DET
cord-186927-b8i85vo7	600	21	same	same	ADJ
cord-186927-b8i85vo7	600	22	way	way	NOUN
cord-186927-b8i85vo7	600	23	as	as	ADP
cord-186927-b8i85vo7	600	24	f	f	PROPN
cord-186927-b8i85vo7	600	25	in	in	ADP
cord-186927-b8i85vo7	600	26	the	the	DET
cord-186927-b8i85vo7	600	27	previous	previous	ADJ
cord-186927-b8i85vo7	600	28	canonical	canonical	ADJ
cord-186927-b8i85vo7	600	29	space	space	NOUN
cord-186927-b8i85vo7	600	30	ω	ω	PROPN
cord-186927-b8i85vo7	601	1	(	(	PUNCT
cord-186927-b8i85vo7	601	2	see	see	VERB
cord-186927-b8i85vo7	601	3	section	section	NOUN
cord-186927-b8i85vo7	601	4	4.1	4.1	NUM
cord-186927-b8i85vo7	601	5	)	)	PUNCT
cord-186927-b8i85vo7	601	6	.	.	PUNCT
cord-186927-b8i85vo7	602	1	let	let	VERB
cord-186927-b8i85vo7	602	2	then	then	ADV
cord-186927-b8i85vo7	602	3	m	m	VERB
cord-186927-b8i85vo7	602	4	p	p	PROPN
cord-186927-b8i85vo7	602	5	be	be	AUX
cord-186927-b8i85vo7	602	6	the	the	DET
cord-186927-b8i85vo7	602	7	set	set	NOUN
cord-186927-b8i85vo7	602	8	of	of	ADP
cord-186927-b8i85vo7	602	9	probability	probability	NOUN
cord-186927-b8i85vo7	602	10	measures	measure	NOUN
cord-186927-b8i85vo7	602	11	on	on	ADP
cord-186927-b8i85vo7	602	12	(	(	PUNCT
cord-186927-b8i85vo7	602	13	ω	ω	PROPN
cord-186927-b8i85vo7	602	14	p	p	PROPN
cord-186927-b8i85vo7	602	15	,	,	PUNCT
cord-186927-b8i85vo7	602	16	g	g	PROPN
cord-186927-b8i85vo7	602	17	t	t	PROPN
cord-186927-b8i85vo7	602	18	)	)	PUNCT
cord-186927-b8i85vo7	602	19	.	.	PUNCT
cord-186927-b8i85vo7	603	1	for	for	ADP
cord-186927-b8i85vo7	603	2	any	any	DET
cord-186927-b8i85vo7	603	3	p	p	NOUN
cord-186927-b8i85vo7	603	4	∈	∈	PROPN
cord-186927-b8i85vo7	603	5	m	m	VERB
cord-186927-b8i85vo7	604	1	p	p	NOUN
cord-186927-b8i85vo7	604	2	,	,	PUNCT
cord-186927-b8i85vo7	604	3	we	we	PRON
cord-186927-b8i85vo7	604	4	can	can	AUX
cord-186927-b8i85vo7	604	5	define	define	VERB
cord-186927-b8i85vo7	604	6	g	g	PROPN
cord-186927-b8i85vo7	604	7	p	p	NOUN
cord-186927-b8i85vo7	605	1	the	the	DET
cord-186927-b8i85vo7	605	2	p	p	NOUN
cord-186927-b8i85vo7	605	3	-	-	PUNCT
cord-186927-b8i85vo7	605	4	augmentation	augmentation	NOUN
cord-186927-b8i85vo7	605	5	of	of	ADP
cord-186927-b8i85vo7	605	6	g	g	PROPN
cord-186927-b8i85vo7	605	7	,	,	PUNCT
cord-186927-b8i85vo7	605	8	its	its	PRON
cord-186927-b8i85vo7	605	9	right	right	ADJ
cord-186927-b8i85vo7	605	10	limit	limit	NOUN
cord-186927-b8i85vo7	605	11	g	g	X
cord-186927-b8i85vo7	605	12	p+	p+	NOUN
cord-186927-b8i85vo7	605	13	,	,	PUNCT
cord-186927-b8i85vo7	605	14	as	as	ADV
cord-186927-b8i85vo7	605	15	well	well	ADV
cord-186927-b8i85vo7	605	16	as	as	ADP
cord-186927-b8i85vo7	605	17	f	f	PROPN
cord-186927-b8i85vo7	605	18	π	π	NOUN
cord-186927-b8i85vo7	605	19	:	:	PUNCT
cord-186927-b8i85vo7	605	20	=	=	PROPN
cord-186927-b8i85vo7	605	21	(	(	PUNCT
cord-186927-b8i85vo7	605	22	f	f	PROPN
cord-186927-b8i85vo7	605	23	π	π	PROPN
cord-186927-b8i85vo7	605	24	t	t	NOUN
cord-186927-b8i85vo7	605	25	)	)	PUNCT
cord-186927-b8i85vo7	606	1	t∈[0,t	t∈[0,t	X
cord-186927-b8i85vo7	606	2	]	]	X
cord-186927-b8i85vo7	606	3	the	the	DET
cord-186927-b8i85vo7	606	4	π	π	NOUN
cord-186927-b8i85vo7	606	5	-	-	PUNCT
cord-186927-b8i85vo7	606	6	universal	universal	ADJ
cord-186927-b8i85vo7	606	7	completion	completion	NOUN
cord-186927-b8i85vo7	606	8	of	of	ADP
cord-186927-b8i85vo7	606	9	f	f	PROPN
cord-186927-b8i85vo7	606	10	for	for	ADP
cord-186927-b8i85vo7	606	11	any	any	DET
cord-186927-b8i85vo7	606	12	subset	subset	NOUN
cord-186927-b8i85vo7	606	13	π	π	NOUN
cord-186927-b8i85vo7	606	14	⊂	⊂	X
cord-186927-b8i85vo7	606	15	m	m	PUNCT
cord-186927-b8i85vo7	606	16	p	p	NOUN
cord-186927-b8i85vo7	606	17	.	.	PUNCT
cord-186927-b8i85vo7	607	1	the	the	DET
cord-186927-b8i85vo7	607	2	drift	drift	NOUN
cord-186927-b8i85vo7	607	3	and	and	CCONJ
cord-186927-b8i85vo7	607	4	volatility	volatility	NOUN
cord-186927-b8i85vo7	607	5	functions	function	NOUN
cord-186927-b8i85vo7	607	6	for	for	ADP
cord-186927-b8i85vo7	607	7	the	the	DET
cord-186927-b8i85vo7	607	8	process	process	NOUN
cord-186927-b8i85vo7	607	9	x	x	PUNCT
cord-186927-b8i85vo7	607	10	are	be	AUX
cord-186927-b8i85vo7	607	11	now	now	ADV
cord-186927-b8i85vo7	607	12	defined	define	VERB
cord-186927-b8i85vo7	607	13	for	for	ADP
cord-186927-b8i85vo7	607	14	any	any	DET
cord-186927-b8i85vo7	607	15	(	(	PUNCT
cord-186927-b8i85vo7	607	16	t	t	PROPN
cord-186927-b8i85vo7	607	17	,	,	PUNCT
cord-186927-b8i85vo7	607	18	s	s	PROPN
cord-186927-b8i85vo7	607	19	,	,	PUNCT
cord-186927-b8i85vo7	607	20	i	i	PROPN
cord-186927-b8i85vo7	607	21	,	,	PUNCT
cord-186927-b8i85vo7	607	22	z	z	PROPN
cord-186927-b8i85vo7	607	23	,	,	PUNCT
cord-186927-b8i85vo7	607	24	a	a	PRON
cord-186927-b8i85vo7	607	25	)	)	PUNCT
cord-186927-b8i85vo7	607	26	where	where	SCONJ
cord-186927-b8i85vo7	607	27	u	u	PROPN
cord-186927-b8i85vo7	607	28	(	(	PUNCT
cord-186927-b8i85vo7	607	29	t	t	PROPN
cord-186927-b8i85vo7	607	30	,	,	PUNCT
cord-186927-b8i85vo7	607	31	s	s	PROPN
cord-186927-b8i85vo7	607	32	,	,	PUNCT
cord-186927-b8i85vo7	607	33	i	i	PROPN
cord-186927-b8i85vo7	607	34	,	,	PUNCT
cord-186927-b8i85vo7	607	35	z	z	PROPN
cord-186927-b8i85vo7	607	36	,	,	PUNCT
cord-186927-b8i85vo7	607	37	a	a	PRON
cord-186927-b8i85vo7	607	38	)	)	PUNCT
cord-186927-b8i85vo7	607	39	:	:	PUNCT
cord-186927-b8i85vo7	607	40	=	=	PROPN
cord-186927-b8i85vo7	607	41	u	u	PROPN
cord-186927-b8i85vo7	607	42	(	(	PUNCT
cord-186927-b8i85vo7	607	43	t	t	PROPN
cord-186927-b8i85vo7	607	44	,	,	PUNCT
cord-186927-b8i85vo7	607	45	b	b	PROPN
cord-186927-b8i85vo7	607	46	(	(	PUNCT
cord-186927-b8i85vo7	607	47	t	t	PROPN
cord-186927-b8i85vo7	607	48	,	,	PUNCT
cord-186927-b8i85vo7	607	49	s	s	PROPN
cord-186927-b8i85vo7	607	50	,	,	PUNCT
cord-186927-b8i85vo7	607	51	i	i	PROPN
cord-186927-b8i85vo7	607	52	,	,	PUNCT
cord-186927-b8i85vo7	607	53	z	z	PROPN
cord-186927-b8i85vo7	607	54	,	,	PUNCT
cord-186927-b8i85vo7	607	55	a	a	PRON
cord-186927-b8i85vo7	607	56	)	)	PUNCT
cord-186927-b8i85vo7	607	57	,	,	PUNCT
cord-186927-b8i85vo7	607	58	i	i	NOUN
cord-186927-b8i85vo7	607	59	)	)	PUNCT
cord-186927-b8i85vo7	607	60	,	,	PUNCT
cord-186927-b8i85vo7	607	61	for	for	ADP
cord-186927-b8i85vo7	607	62	all	all	PRON
cord-186927-b8i85vo7	607	63	(	(	PUNCT
cord-186927-b8i85vo7	607	64	t	t	PROPN
cord-186927-b8i85vo7	607	65	,	,	PUNCT
cord-186927-b8i85vo7	607	66	s	s	PROPN
cord-186927-b8i85vo7	607	67	,	,	PUNCT
cord-186927-b8i85vo7	607	68	i	i	PROPN
cord-186927-b8i85vo7	607	69	,	,	PUNCT
cord-186927-b8i85vo7	607	70	z	z	NOUN
cord-186927-b8i85vo7	607	71	)	)	PUNCT
cord-186927-b8i85vo7	607	72	b	b	NOUN
cord-186927-b8i85vo7	607	73	p	p	NOUN
cord-186927-b8i85vo7	608	1	(	(	PUNCT
cord-186927-b8i85vo7	608	2	r	r	NOUN
cord-186927-b8i85vo7	608	3	,	,	PUNCT
cord-186927-b8i85vo7	608	4	s	s	VERB
cord-186927-b8i85vo7	609	1	r	r	NOUN
cord-186927-b8i85vo7	609	2	,	,	PUNCT
cord-186927-b8i85vo7	609	3	i	i	PRON
cord-186927-b8i85vo7	609	4	r	r	NOUN
cord-186927-b8i85vo7	609	5	,	,	PUNCT
cord-186927-b8i85vo7	609	6	v	v	NOUN
cord-186927-b8i85vo7	609	7	)	)	PUNCT
cord-186927-b8i85vo7	609	8	·	·	PUNCT
cord-186927-b8i85vo7	609	9	∇ϕ	∇ϕ	PROPN
cord-186927-b8i85vo7	609	10	p	p	NOUN
cord-186927-b8i85vo7	609	11	(	(	PUNCT
cord-186927-b8i85vo7	609	12	x	x	NOUN
cord-186927-b8i85vo7	609	13	r	r	NOUN
cord-186927-b8i85vo7	609	14	)	)	PUNCT
cord-186927-b8i85vo7	610	1	+	+	NUM
cord-186927-b8i85vo7	610	2	1	1	NUM
cord-186927-b8i85vo7	610	3	2	2	NUM
cord-186927-b8i85vo7	610	4	tr	tr	SYM
cord-186927-b8i85vo7	610	5	d	d	NOUN
cord-186927-b8i85vo7	611	1	2	2	NUM
cord-186927-b8i85vo7	611	2	ϕ	ϕ	X
cord-186927-b8i85vo7	611	3	p	p	NOUN
cord-186927-b8i85vo7	611	4	(	(	PUNCT
cord-186927-b8i85vo7	611	5	x	x	NOUN
cord-186927-b8i85vo7	611	6	r	r	X
cord-186927-b8i85vo7	611	7	)	)	PUNCT
cord-186927-b8i85vo7	612	1	σ	σ	PROPN
cord-186927-b8i85vo7	612	2	p	p	NOUN
cord-186927-b8i85vo7	612	3	(	(	PUNCT
cord-186927-b8i85vo7	612	4	σ	σ	PROPN
cord-186927-b8i85vo7	612	5	p	p	PROPN
cord-186927-b8i85vo7	612	6	)	)	PUNCT
cord-186927-b8i85vo7	613	1	(	(	PUNCT
cord-186927-b8i85vo7	613	2	r	r	NOUN
cord-186927-b8i85vo7	613	3	,	,	PUNCT
cord-186927-b8i85vo7	613	4	s	s	VERB
cord-186927-b8i85vo7	614	1	r	r	NOUN
cord-186927-b8i85vo7	614	2	,	,	PUNCT
cord-186927-b8i85vo7	614	3	i	i	PRON
cord-186927-b8i85vo7	614	4	r	r	NOUN
cord-186927-b8i85vo7	614	5	,	,	PUNCT
cord-186927-b8i85vo7	614	6	v	v	X
cord-186927-b8i85vo7	614	7	)	)	PUNCT
cord-186927-b8i85vo7	615	1	λ	λ	PROPN
cord-186927-b8i85vo7	615	2	p	p	PROPN
cord-186927-b8i85vo7	615	3	(	(	PUNCT
cord-186927-b8i85vo7	615	4	dr	dr	PROPN
cord-186927-b8i85vo7	615	5	,	,	PUNCT
cord-186927-b8i85vo7	615	6	dv	dv	PROPN
cord-186927-b8i85vo7	615	7	)	)	PUNCT
cord-186927-b8i85vo7	615	8	.	.	PUNCT
cord-186927-b8i85vo7	616	1	in	in	ADP
cord-186927-b8i85vo7	616	2	the	the	DET
cord-186927-b8i85vo7	616	3	spirit	spirit	NOUN
cord-186927-b8i85vo7	616	4	of	of	ADP
cord-186927-b8i85vo7	616	5	definition	definition	NOUN
cord-186927-b8i85vo7	616	6	4.1	4.1	NUM
cord-186927-b8i85vo7	616	7	for	for	ADP
cord-186927-b8i85vo7	616	8	p	p	PROPN
cord-186927-b8i85vo7	616	9	⊂	⊂	X
cord-186927-b8i85vo7	616	10	m	m	VERB
cord-186927-b8i85vo7	616	11	,	,	PUNCT
cord-186927-b8i85vo7	616	12	we	we	PRON
cord-186927-b8i85vo7	616	13	define	define	VERB
cord-186927-b8i85vo7	616	14	the	the	DET
cord-186927-b8i85vo7	616	15	subset	subset	NOUN
cord-186927-b8i85vo7	616	16	q	q	NOUN
cord-186927-b8i85vo7	616	17	⊂	⊂	X
cord-186927-b8i85vo7	616	18	m	m	PUNCT
cord-186927-b8i85vo7	616	19	p	p	NOUN
cord-186927-b8i85vo7	616	20	as	as	ADP
cord-186927-b8i85vo7	616	21	the	the	DET
cord-186927-b8i85vo7	616	22	one	one	NOUN
cord-186927-b8i85vo7	616	23	consisting	consist	VERB
cord-186927-b8i85vo7	616	24	of	of	ADP
cord-186927-b8i85vo7	616	25	all	all	DET
cord-186927-b8i85vo7	616	26	p	p	PROPN
cord-186927-b8i85vo7	616	27	∈	∈	NOUN
cord-186927-b8i85vo7	616	28	m	m	VERB
cord-186927-b8i85vo7	617	1	p	p	NOUN
cord-186927-b8i85vo7	617	2	such	such	ADJ
cord-186927-b8i85vo7	617	3	that	that	SCONJ
cord-186927-b8i85vo7	617	4	(	(	PUNCT
cord-186927-b8i85vo7	617	5	iii	iii	NUM
cord-186927-b8i85vo7	617	6	)	)	PUNCT
cord-186927-b8i85vo7	617	7	with	with	ADP
cord-186927-b8i85vo7	617	8	p	p	PROPN
cord-186927-b8i85vo7	617	9	-	-	PUNCT
cord-186927-b8i85vo7	617	10	probability	probability	NOUN
cord-186927-b8i85vo7	617	11	1	1	NUM
cord-186927-b8i85vo7	617	12	,	,	PUNCT
cord-186927-b8i85vo7	617	13	the	the	DET
cord-186927-b8i85vo7	617	14	canonical	canonical	ADJ
cord-186927-b8i85vo7	617	15	process	process	NOUN
cord-186927-b8i85vo7	618	1	λ	λ	PROPN
cord-186927-b8i85vo7	618	2	p	p	PROPN
cord-186927-b8i85vo7	618	3	is	be	AUX
cord-186927-b8i85vo7	618	4	of	of	ADP
cord-186927-b8i85vo7	618	5	the	the	DET
cord-186927-b8i85vo7	618	6	form	form	NOUN
cord-186927-b8i85vo7	618	7	δ	δ	PROPN
cord-186927-b8i85vo7	618	8	φ	φ	X
cord-186927-b8i85vo7	618	9	·	·	PUNCT
cord-186927-b8i85vo7	618	10	(	(	PUNCT
cord-186927-b8i85vo7	618	11	dv	dv	PROPN
cord-186927-b8i85vo7	618	12	)	)	PUNCT
cord-186927-b8i85vo7	618	13	for	for	ADP
cord-186927-b8i85vo7	618	14	some	some	DET
cord-186927-b8i85vo7	618	15	borel	borel	PROPN
cord-186927-b8i85vo7	618	16	function	function	NOUN
cord-186927-b8i85vo7	618	17	φ	φ	NOUN
cord-186927-b8i85vo7	618	18	:	:	PUNCT
cord-186927-b8i85vo7	619	1	[	[	X
cord-186927-b8i85vo7	619	2	0	0	NUM
cord-186927-b8i85vo7	619	3	,	,	PUNCT
cord-186927-b8i85vo7	619	4	t	t	NOUN
cord-186927-b8i85vo7	619	5	]	]	X
cord-186927-b8i85vo7	619	6	−→	−→	PROPN
cord-186927-b8i85vo7	619	7	v	v	PROPN
cord-186927-b8i85vo7	619	8	.	.	PUNCT
cord-186927-b8i85vo7	620	1	still	still	ADV
cord-186927-b8i85vo7	620	2	following	follow	VERB
cord-186927-b8i85vo7	620	3	the	the	DET
cord-186927-b8i85vo7	620	4	line	line	NOUN
cord-186927-b8i85vo7	620	5	of	of	ADP
cord-186927-b8i85vo7	620	6	section	section	NOUN
cord-186927-b8i85vo7	620	7	4.1	4.1	NUM
cord-186927-b8i85vo7	620	8	,	,	PUNCT
cord-186927-b8i85vo7	620	9	we	we	PRON
cord-186927-b8i85vo7	620	10	know	know	VERB
cord-186927-b8i85vo7	620	11	that	that	SCONJ
cord-186927-b8i85vo7	620	12	for	for	ADP
cord-186927-b8i85vo7	620	13	any	any	DET
cord-186927-b8i85vo7	620	14	p	p	NOUN
cord-186927-b8i85vo7	620	15	∈	∈	PROPN
cord-186927-b8i85vo7	620	16	q	q	INTJ
cord-186927-b8i85vo7	620	17	,	,	PUNCT
cord-186927-b8i85vo7	620	18	we	we	PRON
cord-186927-b8i85vo7	620	19	can	can	AUX
cord-186927-b8i85vo7	620	20	define	define	VERB
cord-186927-b8i85vo7	620	21	a	a	PRON
cord-186927-b8i85vo7	620	22	(	(	PUNCT
cord-186927-b8i85vo7	620	23	g	g	X
cord-186927-b8i85vo7	620	24	q	q	NOUN
cord-186927-b8i85vo7	620	25	,	,	PUNCT
cord-186927-b8i85vo7	620	26	p)-brownian	p)-brownian	PROPN
cord-186927-b8i85vo7	620	27	motion	motion	NOUN
cord-186927-b8i85vo7	620	28	w	w	PROPN
cord-186927-b8i85vo7	620	29	p	p	PROPN
cord-186927-b8i85vo7	620	30	.	.	PUNCT
cord-186927-b8i85vo7	621	1	we	we	PRON
cord-186927-b8i85vo7	621	2	then	then	ADV
cord-186927-b8i85vo7	621	3	denote	denote	VERB
cord-186927-b8i85vo7	621	4	by	by	ADP
cord-186927-b8i85vo7	621	5	v	v	NOUN
cord-186927-b8i85vo7	621	6	o	o	X
cord-186927-b8i85vo7	621	7	(	(	PUNCT
cord-186927-b8i85vo7	621	8	p	p	NOUN
cord-186927-b8i85vo7	621	9	)	)	PUNCT
cord-186927-b8i85vo7	621	10	the	the	DET
cord-186927-b8i85vo7	621	11	set	set	NOUN
cord-186927-b8i85vo7	621	12	of	of	ADP
cord-186927-b8i85vo7	621	13	g	g	NOUN
cord-186927-b8i85vo7	621	14	-	-	PUNCT
cord-186927-b8i85vo7	621	15	predictable	predictable	ADJ
cord-186927-b8i85vo7	621	16	and	and	CCONJ
cord-186927-b8i85vo7	621	17	v	v	ADP
cord-186927-b8i85vo7	621	18	-valued	-value	VERB
cord-186927-b8i85vo7	621	19	process	process	NOUN
cord-186927-b8i85vo7	621	20	(	(	PUNCT
cord-186927-b8i85vo7	621	21	z	z	NOUN
cord-186927-b8i85vo7	621	22	,	,	PUNCT
cord-186927-b8i85vo7	621	23	α	α	PROPN
cord-186927-b8i85vo7	621	24	)	)	PUNCT
cord-186927-b8i85vo7	621	25	such	such	ADJ
cord-186927-b8i85vo7	621	26	that	that	PRON
cord-186927-b8i85vo7	621	27	,	,	PUNCT
cord-186927-b8i85vo7	621	28	p	p	PROPN
cord-186927-b8i85vo7	621	29	-	-	PUNCT
cord-186927-b8i85vo7	621	30	a.s	a.s	PROPN
cord-186927-b8i85vo7	621	31	.	.	PROPN
cord-186927-b8i85vo7	621	32	and	and	CCONJ
cord-186927-b8i85vo7	621	33	for	for	ADP
cord-186927-b8i85vo7	621	34	all	all	DET
cord-186927-b8i85vo7	621	35	t	t	NOUN
cord-186927-b8i85vo7	621	36	∈	∈	NOUN
cord-186927-b8i85vo7	622	1	[	[	X
cord-186927-b8i85vo7	622	2	0	0	NUM
cord-186927-b8i85vo7	622	3	,	,	PUNCT
cord-186927-b8i85vo7	622	4	t	t	NOUN
cord-186927-b8i85vo7	622	5	]	]	PUNCT
cord-186927-b8i85vo7	622	6	,	,	PUNCT
cord-186927-b8i85vo7	622	7	(	(	PUNCT
cord-186927-b8i85vo7	622	8	4.17	4.17	NUM
cord-186927-b8i85vo7	622	9	)	)	PUNCT
cord-186927-b8i85vo7	622	10	thank	thank	VERB
cord-186927-b8i85vo7	622	11	to	to	ADP
cord-186927-b8i85vo7	622	12	the	the	DET
cord-186927-b8i85vo7	622	13	analysis	analysis	NOUN
cord-186927-b8i85vo7	622	14	conducted	conduct	VERB
cord-186927-b8i85vo7	622	15	in	in	ADP
cord-186927-b8i85vo7	622	16	the	the	DET
cord-186927-b8i85vo7	622	17	previous	previous	ADJ
cord-186927-b8i85vo7	622	18	subsection	subsection	NOUN
cord-186927-b8i85vo7	622	19	,	,	PUNCT
cord-186927-b8i85vo7	622	20	the	the	DET
cord-186927-b8i85vo7	622	21	problem	problem	NOUN
cord-186927-b8i85vo7	622	22	of	of	ADP
cord-186927-b8i85vo7	622	23	the	the	DET
cord-186927-b8i85vo7	622	24	government	government	NOUN
cord-186927-b8i85vo7	622	25	given	give	VERB
cord-186927-b8i85vo7	622	26	by	by	ADP
cord-186927-b8i85vo7	622	27	(	(	PUNCT
cord-186927-b8i85vo7	622	28	4.10	4.10	NUM
cord-186927-b8i85vo7	622	29	)	)	PUNCT
cord-186927-b8i85vo7	622	30	can	can	AUX
cord-186927-b8i85vo7	622	31	now	now	ADV
cord-186927-b8i85vo7	622	32	be	be	AUX
cord-186927-b8i85vo7	622	33	written	write	VERB
cord-186927-b8i85vo7	622	34	rigorously	rigorously	ADV
cord-186927-b8i85vo7	622	35	in	in	ADP
cord-186927-b8i85vo7	622	36	weak	weak	ADJ
cord-186927-b8i85vo7	622	37	formulation	formulation	NOUN
cord-186927-b8i85vo7	622	38	where	where	SCONJ
cord-186927-b8i85vo7	622	39	s	s	VERB
cord-186927-b8i85vo7	622	40	3	3	NUM
cord-186927-b8i85vo7	622	41	represents	represent	VERB
cord-186927-b8i85vo7	622	42	the	the	DET
cord-186927-b8i85vo7	622	43	set	set	NOUN
cord-186927-b8i85vo7	622	44	of	of	ADP
cord-186927-b8i85vo7	622	45	3	3	NUM
cord-186927-b8i85vo7	622	46	×	×	NOUN
cord-186927-b8i85vo7	622	47	3	3	NUM
cord-186927-b8i85vo7	622	48	symmetric	symmetric	ADJ
cord-186927-b8i85vo7	622	49	positive	positive	ADJ
cord-186927-b8i85vo7	622	50	matrices	matrix	NOUN
cord-186927-b8i85vo7	622	51	with	with	ADP
cord-186927-b8i85vo7	622	52	real	real	ADJ
cord-186927-b8i85vo7	622	53	entries	entry	NOUN
cord-186927-b8i85vo7	622	54	.	.	PUNCT
cord-186927-b8i85vo7	623	1	more	more	ADV
cord-186927-b8i85vo7	623	2	explicitly	explicitly	ADV
cord-186927-b8i85vo7	623	3	,	,	PUNCT
cord-186927-b8i85vo7	623	4	the	the	DET
cord-186927-b8i85vo7	623	5	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	623	6	can	can	AUX
cord-186927-b8i85vo7	623	7	be	be	AUX
cord-186927-b8i85vo7	623	8	written	write	VERB
cord-186927-b8i85vo7	623	9	as	as	SCONJ
cord-186927-b8i85vo7	623	10	follows	follow	VERB
cord-186927-b8i85vo7	623	11	we	we	PRON
cord-186927-b8i85vo7	623	12	are	be	AUX
cord-186927-b8i85vo7	623	13	then	then	ADV
cord-186927-b8i85vo7	623	14	led	lead	VERB
cord-186927-b8i85vo7	623	15	to	to	PART
cord-186927-b8i85vo7	623	16	consider	consider	VERB
cord-186927-b8i85vo7	623	17	the	the	DET
cord-186927-b8i85vo7	623	18	following	follow	VERB
cord-186927-b8i85vo7	623	19	hjb	hjb	PROPN
cord-186927-b8i85vo7	623	20	equation	equation	NOUN
cord-186927-b8i85vo7	623	21	,	,	PUNCT
cord-186927-b8i85vo7	623	22	for	for	ADP
cord-186927-b8i85vo7	623	23	all	all	DET
cord-186927-b8i85vo7	623	24	t	t	NOUN
cord-186927-b8i85vo7	623	25	∈	∈	NOUN
cord-186927-b8i85vo7	624	1	[	[	X
cord-186927-b8i85vo7	624	2	0	0	NUM
cord-186927-b8i85vo7	624	3	,	,	PUNCT
cord-186927-b8i85vo7	624	4	t	t	NOUN
cord-186927-b8i85vo7	624	5	]	]	PUNCT
cord-186927-b8i85vo7	624	6	and	and	CCONJ
cord-186927-b8i85vo7	624	7	x	x	PROPN
cord-186927-b8i85vo7	624	8	=	=	PROPN
cord-186927-b8i85vo7	624	9	(	(	PUNCT
cord-186927-b8i85vo7	624	10	s	s	PROPN
cord-186927-b8i85vo7	624	11	,	,	PUNCT
cord-186927-b8i85vo7	624	12	i	i	PROPN
cord-186927-b8i85vo7	624	13	,	,	PUNCT
cord-186927-b8i85vo7	624	14	y	y	PROPN
cord-186927-b8i85vo7	624	15	)	)	PUNCT
cord-186927-b8i85vo7	624	16	∈	∈	NOUN
cord-186927-b8i85vo7	624	17	r	r	NOUN
cord-186927-b8i85vo7	624	18	3	3	NUM
cord-186927-b8i85vo7	624	19	:	:	PUNCT
cord-186927-b8i85vo7	624	20	with	with	ADP
cord-186927-b8i85vo7	624	21	terminal	terminal	ADJ
cord-186927-b8i85vo7	624	22	condition	condition	NOUN
cord-186927-b8i85vo7	624	23	v(t	v(t	PROPN
cord-186927-b8i85vo7	624	24	,	,	PUNCT
cord-186927-b8i85vo7	624	25	x	x	PROPN
cord-186927-b8i85vo7	624	26	)	)	PUNCT
cord-186927-b8i85vo7	624	27	:	:	PUNCT
cord-186927-b8i85vo7	624	28	=	=	PROPN
cord-186927-b8i85vo7	624	29	−u	−u	PROPN
cord-186927-b8i85vo7	624	30	(	(	PUNCT
cord-186927-b8i85vo7	624	31	−1	−1	NOUN
cord-186927-b8i85vo7	624	32	)	)	PUNCT
cord-186927-b8i85vo7	624	33	(	(	PUNCT
cord-186927-b8i85vo7	624	34	y	y	PROPN
cord-186927-b8i85vo7	624	35	)	)	PUNCT
cord-186927-b8i85vo7	624	36	,	,	PUNCT
cord-186927-b8i85vo7	624	37	and	and	CCONJ
cord-186927-b8i85vo7	624	38	where	where	SCONJ
cord-186927-b8i85vo7	624	39	the	the	DET
cord-186927-b8i85vo7	624	40	natural	natural	ADJ
cord-186927-b8i85vo7	624	41	domain	domain	NOUN
cord-186927-b8i85vo7	624	42	over	over	ADP
cord-186927-b8i85vo7	624	43	which	which	PRON
cord-186927-b8i85vo7	624	44	the	the	DET
cord-186927-b8i85vo7	624	45	above	above	ADJ
cord-186927-b8i85vo7	624	46	pde	pde	NOUN
cord-186927-b8i85vo7	624	47	must	must	AUX
cord-186927-b8i85vo7	624	48	be	be	AUX
cord-186927-b8i85vo7	624	49	solved	solve	VERB
cord-186927-b8i85vo7	624	50	is	be	AUX
cord-186927-b8i85vo7	624	51	13	13	NUM
cord-186927-b8i85vo7	624	52	o	o	NOUN
cord-186927-b8i85vo7	624	53	:	:	PUNCT
cord-186927-b8i85vo7	624	54	=	=	PROPN
cord-186927-b8i85vo7	624	55	(	(	PUNCT
cord-186927-b8i85vo7	624	56	t	t	PROPN
cord-186927-b8i85vo7	624	57	,	,	PUNCT
cord-186927-b8i85vo7	624	58	s	s	PROPN
cord-186927-b8i85vo7	624	59	,	,	PUNCT
cord-186927-b8i85vo7	624	60	i	i	PROPN
cord-186927-b8i85vo7	624	61	,	,	PUNCT
cord-186927-b8i85vo7	624	62	y	y	PROPN
cord-186927-b8i85vo7	624	63	)	)	PUNCT
cord-186927-b8i85vo7	624	64	∈	∈	NOUN
cord-186927-b8i85vo7	625	1	[	[	X
cord-186927-b8i85vo7	625	2	0	0	NUM
cord-186927-b8i85vo7	625	3	,	,	PUNCT
cord-186927-b8i85vo7	625	4	t	t	NOUN
cord-186927-b8i85vo7	625	5	)	)	PUNCT
cord-186927-b8i85vo7	626	1	×	×	X
cord-186927-b8i85vo7	627	1	r	r	NOUN
cord-186927-b8i85vo7	627	2	2	2	NUM
cord-186927-b8i85vo7	627	3	+	+	CCONJ
cord-186927-b8i85vo7	627	4	×	×	NOUN
cord-186927-b8i85vo7	627	5	r	r	NOUN
cord-186927-b8i85vo7	627	6	:	:	PUNCT
cord-186927-b8i85vo7	627	7	0	0	X
cord-186927-b8i85vo7	627	8	<	<	X
cord-186927-b8i85vo7	628	1	s	s	X
cord-186927-b8i85vo7	629	1	+	+	CCONJ
cord-186927-b8i85vo7	629	2	i	i	PRON
cord-186927-b8i85vo7	629	3	<	<	X
cord-186927-b8i85vo7	630	1	f	f	X
cord-186927-b8i85vo7	631	1	(	(	PUNCT
cord-186927-b8i85vo7	631	2	t	t	PROPN
cord-186927-b8i85vo7	631	3	,	,	PUNCT
cord-186927-b8i85vo7	631	4	s	s	PROPN
cord-186927-b8i85vo7	631	5	0	0	NUM
cord-186927-b8i85vo7	631	6	,	,	PUNCT
cord-186927-b8i85vo7	631	7	i	i	PRON
cord-186927-b8i85vo7	631	8	0	0	PUNCT
cord-186927-b8i85vo7	631	9	)	)	PUNCT
cord-186927-b8i85vo7	631	10	,	,	PUNCT
cord-186927-b8i85vo7	631	11	recalling	recall	VERB
cord-186927-b8i85vo7	631	12	that	that	SCONJ
cord-186927-b8i85vo7	631	13	f	f	PROPN
cord-186927-b8i85vo7	631	14	is	be	AUX
cord-186927-b8i85vo7	631	15	defined	define	VERB
cord-186927-b8i85vo7	631	16	by	by	ADP
cord-186927-b8i85vo7	631	17	(	(	PUNCT
cord-186927-b8i85vo7	631	18	4.4	4.4	NUM
cord-186927-b8i85vo7	631	19	)	)	PUNCT
cord-186927-b8i85vo7	631	20	.	.	PUNCT
cord-186927-b8i85vo7	632	1	where	where	SCONJ
cord-186927-b8i85vo7	632	2	v	v	PROPN
cord-186927-b8i85vo7	632	3	p	p	PROPN
cord-186927-b8i85vo7	632	4	should	should	AUX
cord-186927-b8i85vo7	632	5	be	be	AUX
cord-186927-b8i85vo7	632	6	understood	understand	VERB
cord-186927-b8i85vo7	632	7	as	as	ADP
cord-186927-b8i85vo7	632	8	the	the	DET
cord-186927-b8i85vo7	632	9	unique	unique	ADJ
cord-186927-b8i85vo7	632	10	viscosity	viscosity	NOUN
cord-186927-b8i85vo7	632	11	solution	solution	NOUN
cord-186927-b8i85vo7	632	12	,	,	PUNCT
cord-186927-b8i85vo7	632	13	in	in	ADP
cord-186927-b8i85vo7	632	14	an	an	DET
cord-186927-b8i85vo7	632	15	appropriate	appropriate	ADJ
cord-186927-b8i85vo7	632	16	class	class	NOUN
cord-186927-b8i85vo7	632	17	of	of	ADP
cord-186927-b8i85vo7	632	18	functions	function	NOUN
cord-186927-b8i85vo7	632	19	,	,	PUNCT
cord-186927-b8i85vo7	632	20	of	of	ADP
cord-186927-b8i85vo7	632	21	the	the	DET
cord-186927-b8i85vo7	632	22	pde	pde	NOUN
cord-186927-b8i85vo7	632	23	(	(	PUNCT
cord-186927-b8i85vo7	632	24	4.20	4.20	NUM
cord-186927-b8i85vo7	632	25	)	)	PUNCT
cord-186927-b8i85vo7	632	26	.	.	PUNCT
cord-186927-b8i85vo7	633	1	obtaining	obtain	VERB
cord-186927-b8i85vo7	633	2	further	further	ADJ
cord-186927-b8i85vo7	633	3	regularity	regularity	NOUN
cord-186927-b8i85vo7	633	4	results	result	NOUN
cord-186927-b8i85vo7	633	5	is	be	AUX
cord-186927-b8i85vo7	633	6	by	by	ADP
cord-186927-b8i85vo7	633	7	far	far	ADV
cord-186927-b8i85vo7	633	8	more	more	ADV
cord-186927-b8i85vo7	633	9	challenging	challenging	ADJ
cord-186927-b8i85vo7	633	10	.	.	PUNCT
cord-186927-b8i85vo7	634	1	indeed	indeed	ADV
cord-186927-b8i85vo7	634	2	,	,	PUNCT
cord-186927-b8i85vo7	634	3	it	it	PRON
cord-186927-b8i85vo7	634	4	is	be	AUX
cord-186927-b8i85vo7	634	5	a	a	DET
cord-186927-b8i85vo7	634	6	second	second	ADJ
cord-186927-b8i85vo7	634	7	-	-	PUNCT
cord-186927-b8i85vo7	634	8	order	order	NOUN
cord-186927-b8i85vo7	634	9	,	,	PUNCT
cord-186927-b8i85vo7	634	10	fully	fully	ADV
cord-186927-b8i85vo7	634	11	non	non	ADJ
cord-186927-b8i85vo7	634	12	-	-	ADJ
cord-186927-b8i85vo7	634	13	linear	linear	ADJ
cord-186927-b8i85vo7	634	14	,	,	PUNCT
cord-186927-b8i85vo7	634	15	parabolic	parabolic	ADJ
cord-186927-b8i85vo7	634	16	pde	pde	NOUN
cord-186927-b8i85vo7	634	17	,	,	PUNCT
cord-186927-b8i85vo7	634	18	which	which	PRON
cord-186927-b8i85vo7	634	19	is	be	AUX
cord-186927-b8i85vo7	634	20	clearly	clearly	ADV
cord-186927-b8i85vo7	634	21	not	not	PART
cord-186927-b8i85vo7	634	22	uniformly	uniformly	ADV
cord-186927-b8i85vo7	634	23	elliptic	elliptic	ADJ
cord-186927-b8i85vo7	634	24	,	,	PUNCT
cord-186927-b8i85vo7	634	25	the	the	DET
cord-186927-b8i85vo7	634	26	corresponding	corresponding	ADJ
cord-186927-b8i85vo7	634	27	diffusion	diffusion	NOUN
cord-186927-b8i85vo7	634	28	matrix	matrix	NOUN
cord-186927-b8i85vo7	634	29	being	be	AUX
cord-186927-b8i85vo7	634	30	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	634	31	.	.	PUNCT
cord-186927-b8i85vo7	635	1	this	this	PRON
cord-186927-b8i85vo7	635	2	makes	make	VERB
cord-186927-b8i85vo7	635	3	the	the	DET
cord-186927-b8i85vo7	635	4	question	question	NOUN
cord-186927-b8i85vo7	635	5	of	of	ADP
cord-186927-b8i85vo7	635	6	proving	prove	VERB
cord-186927-b8i85vo7	635	7	the	the	DET
cord-186927-b8i85vo7	635	8	existence	existence	NOUN
cord-186927-b8i85vo7	635	9	of	of	ADP
cord-186927-b8i85vo7	635	10	an	an	DET
cord-186927-b8i85vo7	635	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	635	12	contract	contract	NOUN
cord-186927-b8i85vo7	635	13	a	a	DET
cord-186927-b8i85vo7	635	14	very	very	ADV
cord-186927-b8i85vo7	635	15	complicated	complicated	ADJ
cord-186927-b8i85vo7	635	16	one	one	NUM
cord-186927-b8i85vo7	635	17	,	,	PUNCT
cord-186927-b8i85vo7	635	18	which	which	PRON
cord-186927-b8i85vo7	635	19	is	be	AUX
cord-186927-b8i85vo7	635	20	clearly	clearly	ADV
cord-186927-b8i85vo7	635	21	outside	outside	ADP
cord-186927-b8i85vo7	635	22	the	the	DET
cord-186927-b8i85vo7	635	23	scope	scope	NOUN
cord-186927-b8i85vo7	635	24	of	of	ADP
cord-186927-b8i85vo7	635	25	our	our	PRON
cord-186927-b8i85vo7	635	26	study	study	NOUN
cord-186927-b8i85vo7	635	27	.	.	PUNCT
cord-186927-b8i85vo7	636	1	as	as	ADP
cord-186927-b8i85vo7	636	2	a	a	DET
cord-186927-b8i85vo7	636	3	sanity	sanity	NOUN
cord-186927-b8i85vo7	636	4	check	check	NOUN
cord-186927-b8i85vo7	636	5	though	though	ADV
cord-186927-b8i85vo7	636	6	,	,	PUNCT
cord-186927-b8i85vo7	636	7	we	we	PRON
cord-186927-b8i85vo7	636	8	recall	recall	VERB
cord-186927-b8i85vo7	636	9	that	that	SCONJ
cord-186927-b8i85vo7	636	10	ε	ε	NOUN
cord-186927-b8i85vo7	636	11	-	-	PUNCT
cord-186927-b8i85vo7	636	12	optimal	optimal	ADJ
cord-186927-b8i85vo7	636	13	contracts	contract	NOUN
cord-186927-b8i85vo7	636	14	always	always	ADV
cord-186927-b8i85vo7	636	15	exist	exist	VERB
cord-186927-b8i85vo7	636	16	,	,	PUNCT
cord-186927-b8i85vo7	636	17	and	and	CCONJ
cord-186927-b8i85vo7	636	18	can	can	AUX
cord-186927-b8i85vo7	636	19	be	be	AUX
cord-186927-b8i85vo7	636	20	indeed	indeed	ADV
cord-186927-b8i85vo7	636	21	approximated	approximate	VERB
cord-186927-b8i85vo7	636	22	numerically	numerically	ADV
cord-186927-b8i85vo7	636	23	.	.	PUNCT
cord-186927-b8i85vo7	637	1	see	see	VERB
cord-186927-b8i85vo7	637	2	for	for	ADP
cord-186927-b8i85vo7	637	3	instance	instance	NOUN
cord-186927-b8i85vo7	637	4	kharroubi	kharroubi	ADJ
cord-186927-b8i85vo7	637	5	,	,	PUNCT
cord-186927-b8i85vo7	637	6	lim	lim	NOUN
cord-186927-b8i85vo7	637	7	,	,	PUNCT
cord-186927-b8i85vo7	637	8	and	and	CCONJ
cord-186927-b8i85vo7	637	9	mastrolia	mastrolia	PROPN
cord-186927-b8i85vo7	637	10	[	[	PUNCT
cord-186927-b8i85vo7	637	11	66	66	NUM
cord-186927-b8i85vo7	637	12	]	]	PUNCT
cord-186927-b8i85vo7	637	13	for	for	ADP
cord-186927-b8i85vo7	637	14	an	an	DET
cord-186927-b8i85vo7	637	15	explicit	explicit	ADJ
cord-186927-b8i85vo7	637	16	construction	construction	NOUN
cord-186927-b8i85vo7	637	17	of	of	ADP
cord-186927-b8i85vo7	637	18	such	such	ADJ
cord-186927-b8i85vo7	637	19	ε	ε	NOUN
cord-186927-b8i85vo7	637	20	-	-	PUNCT
cord-186927-b8i85vo7	637	21	optimal	optimal	ADJ
cord-186927-b8i85vo7	637	22	contracts	contract	NOUN
cord-186927-b8i85vo7	637	23	in	in	ADP
cord-186927-b8i85vo7	637	24	a	a	DET
cord-186927-b8i85vo7	637	25	particular	particular	ADJ
cord-186927-b8i85vo7	637	26	case	case	NOUN
cord-186927-b8i85vo7	637	27	dealing	deal	VERB
cord-186927-b8i85vo7	637	28	with	with	ADP
cord-186927-b8i85vo7	637	29	the	the	DET
cord-186927-b8i85vo7	637	30	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	637	31	logistic	logistic	ADJ
cord-186927-b8i85vo7	637	32	equation	equation	NOUN
cord-186927-b8i85vo7	637	33	.	.	PUNCT
cord-186927-b8i85vo7	638	1	as	as	SCONJ
cord-186927-b8i85vo7	638	2	already	already	ADV
cord-186927-b8i85vo7	638	3	mentioned	mention	VERB
cord-186927-b8i85vo7	638	4	,	,	PUNCT
cord-186927-b8i85vo7	638	5	the	the	DET
cord-186927-b8i85vo7	638	6	first	first	ADV
cord-186927-b8i85vo7	638	7	-	-	PUNCT
cord-186927-b8i85vo7	638	8	best	good	ADJ
cord-186927-b8i85vo7	638	9	case	case	NOUN
cord-186927-b8i85vo7	638	10	corresponds	correspond	VERB
cord-186927-b8i85vo7	638	11	to	to	ADP
cord-186927-b8i85vo7	638	12	the	the	DET
cord-186927-b8i85vo7	638	13	case	case	NOUN
cord-186927-b8i85vo7	638	14	where	where	SCONJ
cord-186927-b8i85vo7	638	15	the	the	DET
cord-186927-b8i85vo7	638	16	government	government	NOUN
cord-186927-b8i85vo7	638	17	can	can	AUX
cord-186927-b8i85vo7	638	18	enforce	enforce	VERB
cord-186927-b8i85vo7	638	19	whichever	whichever	DET
cord-186927-b8i85vo7	638	20	interaction	interaction	NOUN
cord-186927-b8i85vo7	638	21	rate	rate	NOUN
cord-186927-b8i85vo7	638	22	β	β	NOUN
cord-186927-b8i85vo7	638	23	∈	∈	PROPN
cord-186927-b8i85vo7	638	24	b	b	PROPN
cord-186927-b8i85vo7	638	25	it	it	PRON
cord-186927-b8i85vo7	638	26	desires	desire	VERB
cord-186927-b8i85vo7	638	27	(	(	PUNCT
cord-186927-b8i85vo7	638	28	in	in	ADP
cord-186927-b8i85vo7	638	29	addition	addition	NOUN
cord-186927-b8i85vo7	638	30	to	to	ADP
cord-186927-b8i85vo7	638	31	a	a	DET
cord-186927-b8i85vo7	638	32	contract	contract	NOUN
cord-186927-b8i85vo7	638	33	(	(	PUNCT
cord-186927-b8i85vo7	638	34	α	α	PROPN
cord-186927-b8i85vo7	638	35	,	,	PUNCT
cord-186927-b8i85vo7	638	36	χ	χ	X
cord-186927-b8i85vo7	638	37	)	)	PUNCT
cord-186927-b8i85vo7	638	38	∈	∈	NOUN
cord-186927-b8i85vo7	638	39	a	a	DET
cord-186927-b8i85vo7	638	40	×	×	NOUN
cord-186927-b8i85vo7	638	41	c	c	NOUN
cord-186927-b8i85vo7	638	42	)	)	PUNCT
cord-186927-b8i85vo7	638	43	,	,	PUNCT
cord-186927-b8i85vo7	638	44	and	and	CCONJ
cord-186927-b8i85vo7	638	45	simply	simply	ADV
cord-186927-b8i85vo7	638	46	has	have	VERB
cord-186927-b8i85vo7	638	47	to	to	PART
cord-186927-b8i85vo7	638	48	satisfy	satisfy	VERB
cord-186927-b8i85vo7	638	49	the	the	DET
cord-186927-b8i85vo7	638	50	participation	participation	NOUN
cord-186927-b8i85vo7	638	51	constraint	constraint	NOUN
cord-186927-b8i85vo7	638	52	of	of	ADP
cord-186927-b8i85vo7	638	53	the	the	DET
cord-186927-b8i85vo7	638	54	population	population	NOUN
cord-186927-b8i85vo7	638	55	.	.	PUNCT
cord-186927-b8i85vo7	639	1	in	in	ADP
cord-186927-b8i85vo7	639	2	order	order	NOUN
cord-186927-b8i85vo7	639	3	to	to	PART
cord-186927-b8i85vo7	639	4	find	find	VERB
cord-186927-b8i85vo7	639	5	the	the	DET
cord-186927-b8i85vo7	639	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	639	7	interaction	interaction	NOUN
cord-186927-b8i85vo7	639	8	rate	rate	NOUN
cord-186927-b8i85vo7	639	9	in	in	ADP
cord-186927-b8i85vo7	639	10	this	this	DET
cord-186927-b8i85vo7	639	11	scenario	scenario	NOUN
cord-186927-b8i85vo7	639	12	,	,	PUNCT
cord-186927-b8i85vo7	639	13	as	as	ADV
cord-186927-b8i85vo7	639	14	well	well	ADV
cord-186927-b8i85vo7	639	15	as	as	ADP
cord-186927-b8i85vo7	639	16	the	the	DET
cord-186927-b8i85vo7	639	17	optimal	optimal	ADJ
cord-186927-b8i85vo7	639	18	contract	contract	NOUN
cord-186927-b8i85vo7	639	19	,	,	PUNCT
cord-186927-b8i85vo7	639	20	one	one	PRON
cord-186927-b8i85vo7	639	21	has	have	VERB
cord-186927-b8i85vo7	639	22	to	to	PART
cord-186927-b8i85vo7	639	23	solve	solve	VERB
cord-186927-b8i85vo7	639	24	the	the	DET
cord-186927-b8i85vo7	639	25	government	government	NOUN
cord-186927-b8i85vo7	639	26	's	's	PART
cord-186927-b8i85vo7	639	27	problem	problem	NOUN
cord-186927-b8i85vo7	639	28	defined	define	VERB
cord-186927-b8i85vo7	639	29	by	by	ADP
cord-186927-b8i85vo7	639	30	(	(	PUNCT
cord-186927-b8i85vo7	639	31	2.14	2.14	NUM
cord-186927-b8i85vo7	639	32	)	)	PUNCT
cord-186927-b8i85vo7	639	33	.	.	PUNCT
cord-186927-b8i85vo7	640	1	the	the	DET
cord-186927-b8i85vo7	640	2	simplest	simple	ADJ
cord-186927-b8i85vo7	640	3	way	way	NOUN
cord-186927-b8i85vo7	640	4	to	to	PART
cord-186927-b8i85vo7	640	5	take	take	VERB
cord-186927-b8i85vo7	640	6	into	into	ADP
cord-186927-b8i85vo7	640	7	account	account	NOUN
cord-186927-b8i85vo7	640	8	the	the	DET
cord-186927-b8i85vo7	640	9	inequality	inequality	NOUN
cord-186927-b8i85vo7	640	10	constraint	constraint	NOUN
cord-186927-b8i85vo7	640	11	in	in	ADP
cord-186927-b8i85vo7	640	12	the	the	DET
cord-186927-b8i85vo7	640	13	definition	definition	NOUN
cord-186927-b8i85vo7	640	14	of	of	ADP
cord-186927-b8i85vo7	640	15	v	v	NOUN
cord-186927-b8i85vo7	640	16	p	p	NOUN
cord-186927-b8i85vo7	640	17	,	,	PUNCT
cord-186927-b8i85vo7	640	18	fb	fb	PROPN
cord-186927-b8i85vo7	640	19	0	0	NUM
cord-186927-b8i85vo7	640	20	is	be	AUX
cord-186927-b8i85vo7	640	21	to	to	PART
cord-186927-b8i85vo7	640	22	introduce	introduce	VERB
cord-186927-b8i85vo7	640	23	the	the	DET
cord-186927-b8i85vo7	640	24	associated	associate	VERB
cord-186927-b8i85vo7	640	25	lagrangian	lagrangian	PROPN
cord-186927-b8i85vo7	640	26	.	.	PUNCT
cord-186927-b8i85vo7	641	1	by	by	ADP
cord-186927-b8i85vo7	641	2	strong	strong	ADJ
cord-186927-b8i85vo7	641	3	duality	duality	NOUN
cord-186927-b8i85vo7	641	4	,	,	PUNCT
cord-186927-b8i85vo7	641	5	we	we	PRON
cord-186927-b8i85vo7	641	6	then	then	ADV
cord-186927-b8i85vo7	641	7	have	have	AUX
cord-186927-b8i85vo7	641	8	first	first	ADV
cord-186927-b8i85vo7	641	9	,	,	PUNCT
cord-186927-b8i85vo7	641	10	by	by	ADP
cord-186927-b8i85vo7	641	11	concavity	concavity	NOUN
cord-186927-b8i85vo7	641	12	of	of	ADP
cord-186927-b8i85vo7	641	13	u	u	PRON
cord-186927-b8i85vo7	641	14	,	,	PUNCT
cord-186927-b8i85vo7	641	15	it	it	PRON
cord-186927-b8i85vo7	641	16	is	be	AUX
cord-186927-b8i85vo7	641	17	immediate	immediate	ADJ
cord-186927-b8i85vo7	641	18	that	that	SCONJ
cord-186927-b8i85vo7	641	19	for	for	SCONJ
cord-186927-b8i85vo7	641	20	any	any	DET
cord-186927-b8i85vo7	641	21	given	give	VERB
cord-186927-b8i85vo7	641	22	lagrange	lagrange	NOUN
cord-186927-b8i85vo7	641	23	multiplier	multipli	ADJ
cord-186927-b8i85vo7	641	24	>	>	X
cord-186927-b8i85vo7	641	25	0	0	NUM
cord-186927-b8i85vo7	641	26	,	,	PUNCT
cord-186927-b8i85vo7	641	27	the	the	DET
cord-186927-b8i85vo7	641	28	optimal	optimal	ADJ
cord-186927-b8i85vo7	641	29	tax	tax	NOUN
cord-186927-b8i85vo7	641	30	is	be	AUX
cord-186927-b8i85vo7	641	31	constant	constant	ADJ
cord-186927-b8i85vo7	641	32	and	and	CCONJ
cord-186927-b8i85vo7	641	33	given	give	VERB
cord-186927-b8i85vo7	641	34	by	by	ADP
cord-186927-b8i85vo7	641	35	(	(	PUNCT
cord-186927-b8i85vo7	641	36	2.19	2.19	NUM
cord-186927-b8i85vo7	641	37	)	)	PUNCT
cord-186927-b8i85vo7	641	38	.	.	PUNCT
cord-186927-b8i85vo7	642	1	then	then	ADV
cord-186927-b8i85vo7	642	2	,	,	PUNCT
cord-186927-b8i85vo7	642	3	using	use	VERB
cord-186927-b8i85vo7	642	4	the	the	DET
cord-186927-b8i85vo7	642	5	definition	definition	NOUN
cord-186927-b8i85vo7	642	6	of	of	ADP
cord-186927-b8i85vo7	642	7	v	v	NOUN
cord-186927-b8i85vo7	642	8	0	0	NUM
cord-186927-b8i85vo7	642	9	(	(	PUNCT
cord-186927-b8i85vo7	642	10	)	)	PUNCT
cord-186927-b8i85vo7	642	11	for	for	ADP
cord-186927-b8i85vo7	642	12	any	any	DET
cord-186927-b8i85vo7	642	13	>	>	X
cord-186927-b8i85vo7	642	14	0	0	NUM
cord-186927-b8i85vo7	642	15	in	in	ADP
cord-186927-b8i85vo7	642	16	(	(	PUNCT
cord-186927-b8i85vo7	642	17	2.20	2.20	NUM
cord-186927-b8i85vo7	642	18	)	)	PUNCT
cord-186927-b8i85vo7	642	19	,	,	PUNCT
cord-186927-b8i85vo7	642	20	we	we	PRON
cord-186927-b8i85vo7	642	21	have	have	AUX
cord-186927-b8i85vo7	642	22	:	:	PUNCT
cord-186927-b8i85vo7	642	23	note	note	VERB
cord-186927-b8i85vo7	642	24	that	that	SCONJ
cord-186927-b8i85vo7	642	25	v	v	NOUN
cord-186927-b8i85vo7	642	26	0	0	NUM
cord-186927-b8i85vo7	642	27	(	(	PUNCT
cord-186927-b8i85vo7	642	28	)	)	PUNCT
cord-186927-b8i85vo7	642	29	is	be	AUX
cord-186927-b8i85vo7	642	30	the	the	DET
cord-186927-b8i85vo7	642	31	value	value	NOUN
cord-186927-b8i85vo7	642	32	function	function	NOUN
cord-186927-b8i85vo7	642	33	of	of	ADP
cord-186927-b8i85vo7	642	34	a	a	DET
cord-186927-b8i85vo7	642	35	standard	standard	ADJ
cord-186927-b8i85vo7	642	36	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	642	37	control	control	NOUN
cord-186927-b8i85vo7	642	38	problem	problem	NOUN
cord-186927-b8i85vo7	642	39	.	.	PUNCT
cord-186927-b8i85vo7	643	1	therefore	therefore	ADV
cord-186927-b8i85vo7	643	2	,	,	PUNCT
cord-186927-b8i85vo7	643	3	we	we	PRON
cord-186927-b8i85vo7	643	4	expect	expect	VERB
cord-186927-b8i85vo7	643	5	to	to	PART
cord-186927-b8i85vo7	643	6	have	have	VERB
cord-186927-b8i85vo7	643	7	where	where	SCONJ
cord-186927-b8i85vo7	643	8	the	the	DET
cord-186927-b8i85vo7	643	9	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	643	10	is	be	AUX
cord-186927-b8i85vo7	643	11	defined	define	VERB
cord-186927-b8i85vo7	643	12	,	,	PUNCT
cord-186927-b8i85vo7	643	13	for	for	ADP
cord-186927-b8i85vo7	643	14	t	t	PROPN
cord-186927-b8i85vo7	643	15	∈	∈	NOUN
cord-186927-b8i85vo7	643	16	[	[	X
cord-186927-b8i85vo7	643	17	0	0	NUM
cord-186927-b8i85vo7	643	18	,	,	PUNCT
cord-186927-b8i85vo7	643	19	t	t	NOUN
cord-186927-b8i85vo7	643	20	]	]	PUNCT
cord-186927-b8i85vo7	643	21	,	,	PUNCT
cord-186927-b8i85vo7	643	22	(	(	PUNCT
cord-186927-b8i85vo7	643	23	s	s	X
cord-186927-b8i85vo7	643	24	,	,	PUNCT
cord-186927-b8i85vo7	643	25	i	i	NOUN
cord-186927-b8i85vo7	643	26	)	)	PUNCT
cord-186927-b8i85vo7	643	27	∈	∈	PROPN
cord-186927-b8i85vo7	643	28	(	(	PUNCT
cord-186927-b8i85vo7	643	29	r	r	NOUN
cord-186927-b8i85vo7	643	30	+	+	PUNCT
cord-186927-b8i85vo7	643	31	)	)	PUNCT
cord-186927-b8i85vo7	643	32	2	2	NUM
cord-186927-b8i85vo7	643	33	,	,	PUNCT
cord-186927-b8i85vo7	643	34	p	p	NOUN
cord-186927-b8i85vo7	643	35	:	:	PUNCT
cord-186927-b8i85vo7	643	36	=	=	PROPN
cord-186927-b8i85vo7	643	37	(	(	PUNCT
cord-186927-b8i85vo7	643	38	p	p	NOUN
cord-186927-b8i85vo7	643	39	1	1	NUM
cord-186927-b8i85vo7	643	40	,	,	PUNCT
cord-186927-b8i85vo7	643	41	p	p	NOUN
cord-186927-b8i85vo7	643	42	2	2	NUM
cord-186927-b8i85vo7	643	43	)	)	PUNCT
cord-186927-b8i85vo7	643	44	∈	∈	NOUN
cord-186927-b8i85vo7	643	45	r	r	NOUN
cord-186927-b8i85vo7	643	46	2	2	NUM
cord-186927-b8i85vo7	643	47	and	and	CCONJ
cord-186927-b8i85vo7	643	48	m	m	NOUN
cord-186927-b8i85vo7	643	49	∈	∈	PROPN
cord-186927-b8i85vo7	643	50	s	s	PROPN
cord-186927-b8i85vo7	643	51	2	2	NUM
cord-186927-b8i85vo7	643	52	by	by	ADP
cord-186927-b8i85vo7	643	53	to	to	PART
cord-186927-b8i85vo7	643	54	simplify	simplify	VERB
cord-186927-b8i85vo7	643	55	,	,	PUNCT
cord-186927-b8i85vo7	643	56	let	let	VERB
cord-186927-b8i85vo7	643	57	us	we	PRON
cord-186927-b8i85vo7	643	58	consider	consider	VERB
cord-186927-b8i85vo7	643	59	separable	separable	ADJ
cord-186927-b8i85vo7	643	60	utilities	utility	NOUN
cord-186927-b8i85vo7	643	61	with	with	ADP
cord-186927-b8i85vo7	643	62	the	the	DET
cord-186927-b8i85vo7	643	63	forms	form	NOUN
cord-186927-b8i85vo7	643	64	(	(	PUNCT
cord-186927-b8i85vo7	643	65	2.17	2.17	NUM
cord-186927-b8i85vo7	643	66	)	)	PUNCT
cord-186927-b8i85vo7	643	67	.	.	PUNCT
cord-186927-b8i85vo7	644	1	we	we	PRON
cord-186927-b8i85vo7	644	2	focus	focus	VERB
cord-186927-b8i85vo7	644	3	on	on	ADP
cord-186927-b8i85vo7	644	4	the	the	DET
cord-186927-b8i85vo7	644	5	maximisation	maximisation	NOUN
cord-186927-b8i85vo7	644	6	of	of	ADP
cord-186927-b8i85vo7	644	7	the	the	DET
cord-186927-b8i85vo7	644	8	hamiltonian	hamiltonian	ADJ
cord-186927-b8i85vo7	644	9	h	h	PROPN
cord-186927-b8i85vo7	644	10	with	with	ADP
cord-186927-b8i85vo7	644	11	respect	respect	NOUN
cord-186927-b8i85vo7	644	12	to	to	ADP
cord-186927-b8i85vo7	644	13	b	b	PROPN
cord-186927-b8i85vo7	644	14	∈	∈	PROPN
cord-186927-b8i85vo7	644	15	b	b	PROPN
cord-186927-b8i85vo7	644	16	,	,	PUNCT
cord-186927-b8i85vo7	644	17	to	to	PART
cord-186927-b8i85vo7	644	18	obtain	obtain	VERB
cord-186927-b8i85vo7	644	19	the	the	DET
cord-186927-b8i85vo7	644	20	optimal	optimal	ADJ
cord-186927-b8i85vo7	644	21	interaction	interaction	NOUN
cord-186927-b8i85vo7	644	22	rate	rate	NOUN
cord-186927-b8i85vo7	644	23	β	β	NOUN
cord-186927-b8i85vo7	644	24	.	.	PUNCT
cord-186927-b8i85vo7	645	1	the	the	DET
cord-186927-b8i85vo7	645	2	maximiser	maximiser	PROPN
cord-186927-b8i85vo7	645	3	b	b	PROPN
cord-186927-b8i85vo7	645	4	is	be	AUX
cord-186927-b8i85vo7	645	5	defined	define	VERB
cord-186927-b8i85vo7	645	6	by	by	ADP
cord-186927-b8i85vo7	645	7	recalling	recall	VERB
cord-186927-b8i85vo7	645	8	that	that	DET
cord-186927-b8i85vo7	645	9	b	b	PROPN
cord-186927-b8i85vo7	645	10	•	•	PUNCT
cord-186927-b8i85vo7	645	11	is	be	AUX
cord-186927-b8i85vo7	645	12	defined	define	VERB
cord-186927-b8i85vo7	645	13	by	by	ADP
cord-186927-b8i85vo7	645	14	(	(	PUNCT
cord-186927-b8i85vo7	645	15	2.18	2.18	NUM
cord-186927-b8i85vo7	645	16	)	)	PUNCT
cord-186927-b8i85vo7	645	17	.	.	PUNCT
cord-186927-b8i85vo7	646	1	in	in	ADP
cord-186927-b8i85vo7	646	2	particular	particular	ADJ
cord-186927-b8i85vo7	646	3	,	,	PUNCT
cord-186927-b8i85vo7	646	4	for	for	ADP
cord-186927-b8i85vo7	646	5	a	a	DET
cord-186927-b8i85vo7	646	6	given	give	VERB
cord-186927-b8i85vo7	646	7	testing	testing	NOUN
cord-186927-b8i85vo7	646	8	policy	policy	NOUN
cord-186927-b8i85vo7	646	9	α	α	X
cord-186927-b8i85vo7	646	10	∈	∈	PROPN
cord-186927-b8i85vo7	646	11	a	a	PRON
cord-186927-b8i85vo7	646	12	and	and	CCONJ
cord-186927-b8i85vo7	646	13	a	a	DET
cord-186927-b8i85vo7	646	14	lagrange	lagrange	NOUN
cord-186927-b8i85vo7	646	15	multiplier	multipli	ADJ
cord-186927-b8i85vo7	646	16	>	>	X
cord-186927-b8i85vo7	646	17	0	0	NUM
cord-186927-b8i85vo7	646	18	,	,	PUNCT
cord-186927-b8i85vo7	646	19	the	the	DET
cord-186927-b8i85vo7	646	20	optimal	optimal	ADJ
cord-186927-b8i85vo7	646	21	interaction	interaction	NOUN
cord-186927-b8i85vo7	646	22	rate	rate	NOUN
cord-186927-b8i85vo7	646	23	in	in	ADP
cord-186927-b8i85vo7	646	24	this	this	DET
cord-186927-b8i85vo7	646	25	case	case	NOUN
cord-186927-b8i85vo7	646	26	is	be	AUX
cord-186927-b8i85vo7	646	27	given	give	VERB
cord-186927-b8i85vo7	646	28	for	for	ADP
cord-186927-b8i85vo7	646	29	all	all	DET
cord-186927-b8i85vo7	646	30	t	t	NOUN
cord-186927-b8i85vo7	646	31	∈	∈	NOUN
cord-186927-b8i85vo7	646	32	[	[	X
cord-186927-b8i85vo7	646	33	0	0	NUM
cord-186927-b8i85vo7	646	34	,	,	PUNCT
cord-186927-b8i85vo7	646	35	t	t	NOUN
cord-186927-b8i85vo7	646	36	]	]	PUNCT
cord-186927-b8i85vo7	646	37	by	by	ADP
cord-186927-b8i85vo7	646	38	β	β	PROPN
cord-186927-b8i85vo7	646	39	t	t	PROPN
cord-186927-b8i85vo7	646	40	=	=	SYM
cord-186927-b8i85vo7	646	41	b	b	PROPN
cord-186927-b8i85vo7	646	42	s	s	PROPN
cord-186927-b8i85vo7	646	43	t	t	NOUN
cord-186927-b8i85vo7	646	44	,	,	PUNCT
cord-186927-b8i85vo7	646	45	i	i	PRON
cord-186927-b8i85vo7	646	46	t	t	NOUN
cord-186927-b8i85vo7	646	47	,	,	PUNCT
cord-186927-b8i85vo7	646	48	∂v	∂v	PROPN
cord-186927-b8i85vo7	646	49	(	(	PUNCT
cord-186927-b8i85vo7	646	50	t	t	NOUN
cord-186927-b8i85vo7	646	51	,	,	PUNCT
cord-186927-b8i85vo7	646	52	s	s	NOUN
cord-186927-b8i85vo7	646	53	t	t	NOUN
cord-186927-b8i85vo7	646	54	,	,	PUNCT
cord-186927-b8i85vo7	646	55	i	i	PRON
cord-186927-b8i85vo7	646	56	t	t	NOUN
cord-186927-b8i85vo7	646	57	)	)	PUNCT
cord-186927-b8i85vo7	646	58	,	,	PUNCT
cord-186927-b8i85vo7	646	59	α	α	PROPN
cord-186927-b8i85vo7	646	60	t	t	NOUN
cord-186927-b8i85vo7	646	61	.	.	PUNCT
cord-186927-b8i85vo7	647	1	we	we	PRON
cord-186927-b8i85vo7	647	2	thus	thus	ADV
cord-186927-b8i85vo7	647	3	obtain	obtain	VERB
cord-186927-b8i85vo7	647	4	where	where	SCONJ
cord-186927-b8i85vo7	647	5	in	in	ADP
cord-186927-b8i85vo7	647	6	addition	addition	NOUN
cord-186927-b8i85vo7	647	7	for	for	ADP
cord-186927-b8i85vo7	647	8	a	a	DET
cord-186927-b8i85vo7	647	9	∈	∈	NOUN
cord-186927-b8i85vo7	647	10	a	a	PRON
cord-186927-b8i85vo7	647	11	,	,	PUNCT
cord-186927-b8i85vo7	647	12	u	u	PROPN
cord-186927-b8i85vo7	647	13	(	(	PUNCT
cord-186927-b8i85vo7	647	14	t	t	PROPN
cord-186927-b8i85vo7	647	15	,	,	PUNCT
cord-186927-b8i85vo7	647	16	s	s	PROPN
cord-186927-b8i85vo7	647	17	,	,	PUNCT
cord-186927-b8i85vo7	647	18	i	i	PROPN
cord-186927-b8i85vo7	647	19	,	,	PUNCT
cord-186927-b8i85vo7	647	20	p	p	PROPN
cord-186927-b8i85vo7	647	21	,	,	PUNCT
cord-186927-b8i85vo7	647	22	a	a	PRON
cord-186927-b8i85vo7	647	23	)	)	PUNCT
cord-186927-b8i85vo7	647	24	:	:	PUNCT
cord-186927-b8i85vo7	647	25	=	=	PROPN
cord-186927-b8i85vo7	647	26	u	u	PROPN
cord-186927-b8i85vo7	647	27	(	(	PUNCT
cord-186927-b8i85vo7	647	28	t	t	PROPN
cord-186927-b8i85vo7	647	29	,	,	PUNCT
cord-186927-b8i85vo7	647	30	b	b	PROPN
cord-186927-b8i85vo7	647	31	(	(	PUNCT
cord-186927-b8i85vo7	647	32	s	s	PROPN
cord-186927-b8i85vo7	647	33	,	,	PUNCT
cord-186927-b8i85vo7	647	34	i	i	PROPN
cord-186927-b8i85vo7	647	35	,	,	PUNCT
cord-186927-b8i85vo7	647	36	p	p	PROPN
cord-186927-b8i85vo7	647	37	,	,	PUNCT
cord-186927-b8i85vo7	647	38	a	a	PRON
cord-186927-b8i85vo7	647	39	)	)	PUNCT
cord-186927-b8i85vo7	647	40	,	,	PUNCT
cord-186927-b8i85vo7	647	41	i	i	NOUN
cord-186927-b8i85vo7	647	42	)	)	PUNCT
cord-186927-b8i85vo7	647	43	.	.	PUNCT
cord-186927-b8i85vo7	648	1	then	then	ADV
cord-186927-b8i85vo7	648	2	,	,	PUNCT
cord-186927-b8i85vo7	648	3	the	the	DET
cord-186927-b8i85vo7	648	4	optimal	optimal	ADJ
cord-186927-b8i85vo7	648	5	testing	testing	NOUN
cord-186927-b8i85vo7	648	6	policy	policy	NOUN
cord-186927-b8i85vo7	648	7	is	be	AUX
cord-186927-b8i85vo7	648	8	given	give	VERB
cord-186927-b8i85vo7	648	9	for	for	ADP
cord-186927-b8i85vo7	648	10	all	all	DET
cord-186927-b8i85vo7	648	11	t	t	NOUN
cord-186927-b8i85vo7	648	12	∈	∈	NOUN
cord-186927-b8i85vo7	648	13	[	[	X
cord-186927-b8i85vo7	648	14	0	0	NUM
cord-186927-b8i85vo7	648	15	,	,	PUNCT
cord-186927-b8i85vo7	648	16	t	t	NOUN
cord-186927-b8i85vo7	648	17	]	]	PUNCT
cord-186927-b8i85vo7	648	18	by	by	ADP
cord-186927-b8i85vo7	648	19	α	α	PROPN
cord-186927-b8i85vo7	648	20	t	t	NOUN
cord-186927-b8i85vo7	648	21	:	:	PUNCT
cord-186927-b8i85vo7	648	22	=	=	NOUN
cord-186927-b8i85vo7	648	23	a	a	X
cord-186927-b8i85vo7	648	24	(	(	PUNCT
cord-186927-b8i85vo7	648	25	t	t	PROPN
cord-186927-b8i85vo7	648	26	,	,	PUNCT
cord-186927-b8i85vo7	648	27	s	s	NOUN
cord-186927-b8i85vo7	648	28	t	t	NOUN
cord-186927-b8i85vo7	648	29	,	,	PUNCT
cord-186927-b8i85vo7	648	30	i	i	PRON
cord-186927-b8i85vo7	648	31	t	t	NOUN
cord-186927-b8i85vo7	648	32	,	,	PUNCT
cord-186927-b8i85vo7	648	33	∂v	∂v	PROPN
cord-186927-b8i85vo7	648	34	(	(	PUNCT
cord-186927-b8i85vo7	648	35	t	t	NOUN
cord-186927-b8i85vo7	648	36	,	,	PUNCT
cord-186927-b8i85vo7	648	37	s	s	NOUN
cord-186927-b8i85vo7	648	38	t	t	NOUN
cord-186927-b8i85vo7	648	39	,	,	PUNCT
cord-186927-b8i85vo7	648	40	i	i	PRON
cord-186927-b8i85vo7	648	41	t	t	NOUN
cord-186927-b8i85vo7	648	42	)	)	PUNCT
cord-186927-b8i85vo7	648	43	,	,	PUNCT
cord-186927-b8i85vo7	648	44	d	d	NOUN
cord-186927-b8i85vo7	648	45	2	2	NUM
cord-186927-b8i85vo7	648	46	v	v	NOUN
cord-186927-b8i85vo7	648	47	(	(	PUNCT
cord-186927-b8i85vo7	648	48	t	t	PROPN
cord-186927-b8i85vo7	648	49	,	,	PUNCT
cord-186927-b8i85vo7	648	50	s	s	NOUN
cord-186927-b8i85vo7	648	51	t	t	NOUN
cord-186927-b8i85vo7	648	52	,	,	PUNCT
cord-186927-b8i85vo7	648	53	i	i	PRON
cord-186927-b8i85vo7	648	54	t	t	NOUN
cord-186927-b8i85vo7	648	55	)	)	PUNCT
cord-186927-b8i85vo7	648	56	)	)	PUNCT
cord-186927-b8i85vo7	648	57	,	,	PUNCT
cord-186927-b8i85vo7	648	58	where	where	SCONJ
cord-186927-b8i85vo7	648	59	a	a	DET
cord-186927-b8i85vo7	648	60	:	:	PUNCT
cord-186927-b8i85vo7	648	61	[	[	X
cord-186927-b8i85vo7	648	62	0	0	NUM
cord-186927-b8i85vo7	648	63	,	,	PUNCT
cord-186927-b8i85vo7	648	64	t	t	NOUN
cord-186927-b8i85vo7	648	65	]	]	PUNCT
cord-186927-b8i85vo7	648	66	×	×	PROPN
cord-186927-b8i85vo7	649	1	(	(	PUNCT
cord-186927-b8i85vo7	649	2	r	r	NOUN
cord-186927-b8i85vo7	649	3	+	+	PUNCT
cord-186927-b8i85vo7	649	4	)	)	PUNCT
cord-186927-b8i85vo7	650	1	2	2	NUM
cord-186927-b8i85vo7	650	2	×	×	NOUN
cord-186927-b8i85vo7	650	3	r	r	NOUN
cord-186927-b8i85vo7	650	4	2	2	NUM
cord-186927-b8i85vo7	650	5	×	×	NOUN
cord-186927-b8i85vo7	650	6	s	s	NOUN
cord-186927-b8i85vo7	650	7	2	2	NUM
cord-186927-b8i85vo7	650	8	−→	−→	NOUN
cord-186927-b8i85vo7	650	9	a	a	PRON
cord-186927-b8i85vo7	650	10	is	be	AUX
cord-186927-b8i85vo7	650	11	the	the	DET
cord-186927-b8i85vo7	650	12	maximiser	maximiser	NOUN
cord-186927-b8i85vo7	650	13	of	of	ADP
cord-186927-b8i85vo7	650	14	the	the	DET
cord-186927-b8i85vo7	650	15	previous	previous	ADJ
cord-186927-b8i85vo7	650	16	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	650	17	on	on	ADP
cord-186927-b8i85vo7	650	18	a	a	DET
cord-186927-b8i85vo7	650	19	∈	∈	NOUN
cord-186927-b8i85vo7	650	20	a	a	PRON
cord-186927-b8i85vo7	650	21	,	,	PUNCT
cord-186927-b8i85vo7	650	22	if	if	SCONJ
cord-186927-b8i85vo7	650	23	it	it	PRON
cord-186927-b8i85vo7	650	24	exists	exist	VERB
cord-186927-b8i85vo7	650	25	.	.	PUNCT
cord-186927-b8i85vo7	651	1	13	13	NUM
cord-186927-b8i85vo7	651	2	the	the	DET
cord-186927-b8i85vo7	651	3	boundary	boundary	NOUN
cord-186927-b8i85vo7	651	4	of	of	ADP
cord-186927-b8i85vo7	651	5	the	the	DET
cord-186927-b8i85vo7	651	6	domain	domain	NOUN
cord-186927-b8i85vo7	651	7	can	can	AUX
cord-186927-b8i85vo7	651	8	not	not	PART
cord-186927-b8i85vo7	651	9	be	be	AUX
cord-186927-b8i85vo7	651	10	reached	reach	VERB
cord-186927-b8i85vo7	651	11	by	by	ADP
cord-186927-b8i85vo7	651	12	the	the	DET
cord-186927-b8i85vo7	651	13	processes	process	NOUN
cord-186927-b8i85vo7	651	14	s	s	VERB
cord-186927-b8i85vo7	651	15	an	an	DET
cord-186927-b8i85vo7	651	16	i	i	NOUN
cord-186927-b8i85vo7	651	17	,	,	PUNCT
cord-186927-b8i85vo7	651	18	which	which	PRON
cord-186927-b8i85vo7	651	19	is	be	AUX
cord-186927-b8i85vo7	651	20	why	why	SCONJ
cord-186927-b8i85vo7	651	21	it	it	PRON
cord-186927-b8i85vo7	651	22	not	not	PART
cord-186927-b8i85vo7	651	23	necessary	necessary	ADJ
cord-186927-b8i85vo7	651	24	to	to	PART
cord-186927-b8i85vo7	651	25	specify	specify	VERB
cord-186927-b8i85vo7	651	26	a	a	DET
cord-186927-b8i85vo7	651	27	boundary	boundary	ADJ
cord-186927-b8i85vo7	651	28	condition	condition	NOUN
cord-186927-b8i85vo7	651	29	there	there	ADV
cord-186927-b8i85vo7	651	30	.	.	PUNCT
cord-186927-b8i85vo7	652	1	notice	notice	VERB
cord-186927-b8i85vo7	652	2	though	though	ADV
cord-186927-b8i85vo7	652	3	that	that	SCONJ
cord-186927-b8i85vo7	652	4	the	the	DET
cord-186927-b8i85vo7	652	5	upper	upper	ADJ
cord-186927-b8i85vo7	652	6	bound	bind	VERB
cord-186927-b8i85vo7	652	7	can	can	AUX
cord-186927-b8i85vo7	652	8	formally	formally	ADV
cord-186927-b8i85vo7	652	9	only	only	ADV
cord-186927-b8i85vo7	652	10	be	be	AUX
cord-186927-b8i85vo7	652	11	attained	attain	VERB
cord-186927-b8i85vo7	652	12	when	when	SCONJ
cord-186927-b8i85vo7	652	13	i	i	PRON
cord-186927-b8i85vo7	652	14	is	be	AUX
cord-186927-b8i85vo7	652	15	constantly	constantly	ADV
cord-186927-b8i85vo7	652	16	0	0	NUM
cord-186927-b8i85vo7	652	17	,	,	PUNCT
cord-186927-b8i85vo7	652	18	in	in	ADP
cord-186927-b8i85vo7	652	19	which	which	DET
cord-186927-b8i85vo7	652	20	case	case	NOUN
cord-186927-b8i85vo7	652	21	s	s	VERB
cord-186927-b8i85vo7	652	22	becomes	become	VERB
cord-186927-b8i85vo7	652	23	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	652	24	,	,	PUNCT
cord-186927-b8i85vo7	652	25	and	and	CCONJ
cord-186927-b8i85vo7	652	26	the	the	DET
cord-186927-b8i85vo7	652	27	government	government	NOUN
cord-186927-b8i85vo7	652	28	best	good	ADJ
cord-186927-b8i85vo7	652	29	choice	choice	NOUN
cord-186927-b8i85vo7	652	30	for	for	ADP
cord-186927-b8i85vo7	652	31	α	α	PRON
cord-186927-b8i85vo7	652	32	is	be	AUX
cord-186927-b8i85vo7	652	33	clearly	clearly	ADV
cord-186927-b8i85vo7	652	34	1	1	NUM
cord-186927-b8i85vo7	652	35	,	,	PUNCT
cord-186927-b8i85vo7	652	36	and	and	CCONJ
cord-186927-b8i85vo7	652	37	its	its	PRON
cord-186927-b8i85vo7	652	38	choice	choice	NOUN
cord-186927-b8i85vo7	652	39	of	of	ADP
cord-186927-b8i85vo7	652	40	z	z	NOUN
cord-186927-b8i85vo7	652	41	becomes	become	VERB
cord-186927-b8i85vo7	652	42	irrelevant	irrelevant	ADJ
cord-186927-b8i85vo7	652	43	.	.	PUNCT
cord-186927-b8i85vo7	653	1	in	in	ADP
cord-186927-b8i85vo7	653	2	such	such	DET
cord-186927-b8i85vo7	653	3	a	a	DET
cord-186927-b8i85vo7	653	4	situation	situation	NOUN
cord-186927-b8i85vo7	653	5	,	,	PUNCT
cord-186927-b8i85vo7	653	6	we	we	PRON
cord-186927-b8i85vo7	653	7	would	would	AUX
cord-186927-b8i85vo7	653	8	immediately	immediately	ADV
cord-186927-b8i85vo7	653	9	have	have	VERB
cord-186927-b8i85vo7	653	10	v	v	PROPN
cord-186927-b8i85vo7	653	11	p	p	PROPN
cord-186927-b8i85vo7	653	12	0	0	NUM
cord-186927-b8i85vo7	653	13	=	=	NOUN
cord-186927-b8i85vo7	654	1	v.	v.	X
cord-186927-b8i85vo7	654	2	we	we	PRON
cord-186927-b8i85vo7	654	3	now	now	ADV
cord-186927-b8i85vo7	654	4	focus	focus	VERB
cord-186927-b8i85vo7	654	5	on	on	ADP
cord-186927-b8i85vo7	654	6	the	the	DET
cord-186927-b8i85vo7	654	7	seir	seir	NOUN
cord-186927-b8i85vo7	654	8	/	/	SYM
cord-186927-b8i85vo7	654	9	s	s	X
cord-186927-b8i85vo7	654	10	(	(	PUNCT
cord-186927-b8i85vo7	654	11	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	654	12	-	-	PUNCT
cord-186927-b8i85vo7	654	13	exposed	expose	VERB
cord-186927-b8i85vo7	654	14	-	-	PUNCT
cord-186927-b8i85vo7	654	15	infected	infect	VERB
cord-186927-b8i85vo7	654	16	-	-	PUNCT
cord-186927-b8i85vo7	654	17	recovered	recover	VERB
cord-186927-b8i85vo7	654	18	or	or	CCONJ
cord-186927-b8i85vo7	654	19	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	654	20	)	)	PUNCT
cord-186927-b8i85vo7	654	21	compartment	compartment	NOUN
cord-186927-b8i85vo7	654	22	model	model	NOUN
cord-186927-b8i85vo7	654	23	.	.	PUNCT
cord-186927-b8i85vo7	655	1	again	again	ADV
cord-186927-b8i85vo7	655	2	,	,	PUNCT
cord-186927-b8i85vo7	655	3	the	the	DET
cord-186927-b8i85vo7	655	4	class	class	NOUN
cord-186927-b8i85vo7	655	5	s	s	PROPN
cord-186927-b8i85vo7	655	6	represents	represent	VERB
cord-186927-b8i85vo7	655	7	the	the	DET
cord-186927-b8i85vo7	655	8	'	'	PUNCT
cord-186927-b8i85vo7	655	9	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	655	10	'	'	PUNCT
cord-186927-b8i85vo7	655	11	and	and	CCONJ
cord-186927-b8i85vo7	655	12	the	the	DET
cord-186927-b8i85vo7	655	13	class	class	NOUN
cord-186927-b8i85vo7	655	14	i	i	PRON
cord-186927-b8i85vo7	655	15	represents	represent	VERB
cord-186927-b8i85vo7	655	16	the	the	DET
cord-186927-b8i85vo7	655	17	'	'	PUNCT
cord-186927-b8i85vo7	655	18	infected	infect	VERB
cord-186927-b8i85vo7	655	19	'	'	PUNCT
cord-186927-b8i85vo7	655	20	and	and	CCONJ
cord-186927-b8i85vo7	655	21	infectious	infectious	ADJ
cord-186927-b8i85vo7	655	22	.	.	PUNCT
cord-186927-b8i85vo7	656	1	the	the	DET
cord-186927-b8i85vo7	656	2	seir	seir	NOUN
cord-186927-b8i85vo7	656	3	and	and	CCONJ
cord-186927-b8i85vo7	656	4	seis	sei	NOUN
cord-186927-b8i85vo7	656	5	models	model	NOUN
cord-186927-b8i85vo7	656	6	are	be	AUX
cord-186927-b8i85vo7	656	7	used	use	VERB
cord-186927-b8i85vo7	656	8	to	to	PART
cord-186927-b8i85vo7	656	9	describe	describe	VERB
cord-186927-b8i85vo7	656	10	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	656	11	in	in	ADP
cord-186927-b8i85vo7	656	12	which	which	PRON
cord-186927-b8i85vo7	656	13	individuals	individual	NOUN
cord-186927-b8i85vo7	656	14	are	be	AUX
cord-186927-b8i85vo7	656	15	not	not	PART
cord-186927-b8i85vo7	656	16	directly	directly	ADV
cord-186927-b8i85vo7	656	17	contagious	contagious	ADJ
cord-186927-b8i85vo7	656	18	after	after	ADP
cord-186927-b8i85vo7	656	19	contracting	contract	VERB
cord-186927-b8i85vo7	656	20	the	the	DET
cord-186927-b8i85vo7	656	21	disease	disease	NOUN
cord-186927-b8i85vo7	656	22	.	.	PUNCT
cord-186927-b8i85vo7	657	1	this	this	PRON
cord-186927-b8i85vo7	657	2	therefore	therefore	ADV
cord-186927-b8i85vo7	657	3	involves	involve	VERB
cord-186927-b8i85vo7	657	4	a	a	DET
cord-186927-b8i85vo7	657	5	fourth	fourth	ADJ
cord-186927-b8i85vo7	657	6	class	class	NOUN
cord-186927-b8i85vo7	657	7	,	,	PUNCT
cord-186927-b8i85vo7	657	8	namely	namely	ADV
cord-186927-b8i85vo7	657	9	e	e	NOUN
cord-186927-b8i85vo7	657	10	,	,	PUNCT
cord-186927-b8i85vo7	657	11	representing	represent	VERB
cord-186927-b8i85vo7	657	12	the	the	DET
cord-186927-b8i85vo7	657	13	'	'	PUNCT
cord-186927-b8i85vo7	657	14	exposed	expose	VERB
cord-186927-b8i85vo7	657	15	'	'	PUNCT
cord-186927-b8i85vo7	657	16	,	,	PUNCT
cord-186927-b8i85vo7	657	17	i.e.	i.e.	X
cord-186927-b8i85vo7	657	18	,	,	PUNCT
cord-186927-b8i85vo7	657	19	individuals	individual	NOUN
cord-186927-b8i85vo7	657	20	who	who	PRON
cord-186927-b8i85vo7	657	21	have	have	AUX
cord-186927-b8i85vo7	657	22	contracted	contract	VERB
cord-186927-b8i85vo7	657	23	the	the	DET
cord-186927-b8i85vo7	657	24	disease	disease	NOUN
cord-186927-b8i85vo7	657	25	but	but	CCONJ
cord-186927-b8i85vo7	657	26	are	be	AUX
cord-186927-b8i85vo7	657	27	not	not	PART
cord-186927-b8i85vo7	657	28	yet	yet	ADV
cord-186927-b8i85vo7	657	29	infectious	infectious	ADJ
cord-186927-b8i85vo7	657	30	.	.	PUNCT
cord-186927-b8i85vo7	658	1	with	with	ADP
cord-186927-b8i85vo7	658	2	this	this	PRON
cord-186927-b8i85vo7	658	3	in	in	ADP
cord-186927-b8i85vo7	658	4	mind	mind	NOUN
cord-186927-b8i85vo7	658	5	,	,	PUNCT
cord-186927-b8i85vo7	658	6	we	we	PRON
cord-186927-b8i85vo7	658	7	denote	denote	VERB
cord-186927-b8i85vo7	658	8	by	by	ADP
cord-186927-b8i85vo7	658	9	ι	ι	PROPN
cord-186927-b8i85vo7	658	10	the	the	DET
cord-186927-b8i85vo7	658	11	rate	rate	NOUN
cord-186927-b8i85vo7	658	12	at	at	ADP
cord-186927-b8i85vo7	658	13	which	which	PRON
cord-186927-b8i85vo7	658	14	an	an	DET
cord-186927-b8i85vo7	658	15	exposed	expose	VERB
cord-186927-b8i85vo7	658	16	person	person	NOUN
cord-186927-b8i85vo7	658	17	becomes	become	VERB
cord-186927-b8i85vo7	658	18	infectious	infectious	ADJ
cord-186927-b8i85vo7	658	19	,	,	PUNCT
cord-186927-b8i85vo7	658	20	which	which	PRON
cord-186927-b8i85vo7	658	21	is	be	AUX
cord-186927-b8i85vo7	658	22	assumed	assume	VERB
cord-186927-b8i85vo7	658	23	to	to	PART
cord-186927-b8i85vo7	658	24	be	be	AUX
cord-186927-b8i85vo7	658	25	a	a	DET
cord-186927-b8i85vo7	658	26	fixed	fix	VERB
cord-186927-b8i85vo7	658	27	non	non	ADJ
cord-186927-b8i85vo7	658	28	-	-	ADJ
cord-186927-b8i85vo7	658	29	negative	negative	ADJ
cord-186927-b8i85vo7	658	30	constant	constant	ADJ
cord-186927-b8i85vo7	658	31	.	.	PUNCT
cord-186927-b8i85vo7	659	1	therefore	therefore	ADV
cord-186927-b8i85vo7	659	2	,	,	PUNCT
cord-186927-b8i85vo7	659	3	during	during	ADP
cord-186927-b8i85vo7	659	4	the	the	DET
cord-186927-b8i85vo7	659	5	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	659	6	,	,	PUNCT
cord-186927-b8i85vo7	659	7	each	each	DET
cord-186927-b8i85vo7	659	8	individual	individual	NOUN
cord-186927-b8i85vo7	659	9	can	can	AUX
cord-186927-b8i85vo7	659	10	be	be	AUX
cord-186927-b8i85vo7	659	11	either	either	CCONJ
cord-186927-b8i85vo7	659	12	'	'	PUNCT
cord-186927-b8i85vo7	659	13	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	659	14	'	'	PUNCT
cord-186927-b8i85vo7	659	15	or	or	CCONJ
cord-186927-b8i85vo7	659	16	'	'	PUNCT
cord-186927-b8i85vo7	659	17	exposed	expose	VERB
cord-186927-b8i85vo7	659	18	'	'	PUNCT
cord-186927-b8i85vo7	659	19	or	or	CCONJ
cord-186927-b8i85vo7	659	20	'	'	PUNCT
cord-186927-b8i85vo7	659	21	infected	infect	VERB
cord-186927-b8i85vo7	659	22	'	'	PUNCT
cord-186927-b8i85vo7	659	23	or	or	CCONJ
cord-186927-b8i85vo7	659	24	in	in	ADP
cord-186927-b8i85vo7	659	25	'	'	PUNCT
cord-186927-b8i85vo7	659	26	recovery	recovery	NOUN
cord-186927-b8i85vo7	659	27	'	'	PUNCT
cord-186927-b8i85vo7	659	28	,	,	PUNCT
cord-186927-b8i85vo7	659	29	and	and	CCONJ
cord-186927-b8i85vo7	659	30	(	(	PUNCT
cord-186927-b8i85vo7	659	31	s	s	NOUN
cord-186927-b8i85vo7	659	32	t	t	NOUN
cord-186927-b8i85vo7	659	33	,	,	PUNCT
cord-186927-b8i85vo7	659	34	e	e	PROPN
cord-186927-b8i85vo7	659	35	t	t	PROPN
cord-186927-b8i85vo7	659	36	,	,	PUNCT
cord-186927-b8i85vo7	659	37	i	i	PRON
cord-186927-b8i85vo7	659	38	t	t	NOUN
cord-186927-b8i85vo7	659	39	,	,	PUNCT
cord-186927-b8i85vo7	659	40	r	r	NOUN
cord-186927-b8i85vo7	659	41	t	t	NOUN
cord-186927-b8i85vo7	659	42	)	)	PUNCT
cord-186927-b8i85vo7	659	43	denotes	denote	VERB
cord-186927-b8i85vo7	659	44	the	the	DET
cord-186927-b8i85vo7	659	45	proportion	proportion	NOUN
cord-186927-b8i85vo7	659	46	of	of	ADP
cord-186927-b8i85vo7	659	47	each	each	DET
cord-186927-b8i85vo7	659	48	category	category	NOUN
cord-186927-b8i85vo7	659	49	at	at	ADP
cord-186927-b8i85vo7	659	50	time	time	NOUN
cord-186927-b8i85vo7	659	51	t	t	NOUN
cord-186927-b8i85vo7	659	52	≥	≥	NOUN
cord-186927-b8i85vo7	659	53	0	0	NUM
cord-186927-b8i85vo7	659	54	.	.	PUNCT
cord-186927-b8i85vo7	660	1	the	the	DET
cord-186927-b8i85vo7	660	2	difference	difference	NOUN
cord-186927-b8i85vo7	660	3	between	between	ADP
cord-186927-b8i85vo7	660	4	seis	sei	NOUN
cord-186927-b8i85vo7	660	5	and	and	CCONJ
cord-186927-b8i85vo7	660	6	seir	seir	NOUN
cord-186927-b8i85vo7	660	7	models	model	NOUN
cord-186927-b8i85vo7	660	8	is	be	AUX
cord-186927-b8i85vo7	660	9	embedded	embed	VERB
cord-186927-b8i85vo7	660	10	into	into	ADP
cord-186927-b8i85vo7	660	11	the	the	DET
cord-186927-b8i85vo7	660	12	immunity	immunity	NOUN
cord-186927-b8i85vo7	660	13	toward	toward	ADP
cord-186927-b8i85vo7	660	14	the	the	DET
cord-186927-b8i85vo7	660	15	disease	disease	NOUN
cord-186927-b8i85vo7	660	16	:	:	PUNCT
cord-186927-b8i85vo7	660	17	for	for	ADP
cord-186927-b8i85vo7	660	18	seir	seir	NOUN
cord-186927-b8i85vo7	660	19	models	model	NOUN
cord-186927-b8i85vo7	660	20	,	,	PUNCT
cord-186927-b8i85vo7	660	21	it	it	PRON
cord-186927-b8i85vo7	660	22	is	be	AUX
cord-186927-b8i85vo7	660	23	assumed	assume	VERB
cord-186927-b8i85vo7	660	24	that	that	SCONJ
cord-186927-b8i85vo7	660	25	the	the	DET
cord-186927-b8i85vo7	660	26	immunity	immunity	NOUN
cord-186927-b8i85vo7	660	27	is	be	AUX
cord-186927-b8i85vo7	660	28	permanent	permanent	ADJ
cord-186927-b8i85vo7	660	29	,	,	PUNCT
cord-186927-b8i85vo7	660	30	i.e.	i.e.	X
cord-186927-b8i85vo7	660	31	,	,	PUNCT
cord-186927-b8i85vo7	660	32	after	after	ADP
cord-186927-b8i85vo7	660	33	being	be	AUX
cord-186927-b8i85vo7	660	34	infected	infect	VERB
cord-186927-b8i85vo7	660	35	,	,	PUNCT
cord-186927-b8i85vo7	660	36	an	an	DET
cord-186927-b8i85vo7	660	37	individual	individual	NOUN
cord-186927-b8i85vo7	660	38	goes	go	VERB
cord-186927-b8i85vo7	660	39	and	and	CCONJ
cord-186927-b8i85vo7	660	40	stays	stay	VERB
cord-186927-b8i85vo7	660	41	in	in	ADP
cord-186927-b8i85vo7	660	42	the	the	DET
cord-186927-b8i85vo7	660	43	class	class	NOUN
cord-186927-b8i85vo7	660	44	r	r	NOUN
cord-186927-b8i85vo7	660	45	,	,	PUNCT
cord-186927-b8i85vo7	660	46	whereas	whereas	SCONJ
cord-186927-b8i85vo7	660	47	for	for	ADP
cord-186927-b8i85vo7	660	48	seis	sei	NOUN
cord-186927-b8i85vo7	660	49	models	model	NOUN
cord-186927-b8i85vo7	660	50	,	,	PUNCT
cord-186927-b8i85vo7	660	51	there	there	PRON
cord-186927-b8i85vo7	660	52	is	be	VERB
cord-186927-b8i85vo7	660	53	no	no	DET
cord-186927-b8i85vo7	660	54	immunity	immunity	NOUN
cord-186927-b8i85vo7	660	55	,	,	PUNCT
cord-186927-b8i85vo7	660	56	i.e.	i.e.	ADV
cord-186927-b8i85vo7	660	57	,	,	PUNCT
cord-186927-b8i85vo7	660	58	infected	infected	ADJ
cord-186927-b8i85vo7	660	59	individual	individual	NOUN
cord-186927-b8i85vo7	660	60	come	come	VERB
cord-186927-b8i85vo7	660	61	back	back	ADV
cord-186927-b8i85vo7	660	62	in	in	ADP
cord-186927-b8i85vo7	660	63	the	the	DET
cord-186927-b8i85vo7	660	64	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	660	65	class	class	NOUN
cord-186927-b8i85vo7	660	66	at	at	ADP
cord-186927-b8i85vo7	660	67	rate	rate	NOUN
cord-186927-b8i85vo7	660	68	ν	ν	NOUN
cord-186927-b8i85vo7	660	69	≥	≥	NOUN
cord-186927-b8i85vo7	660	70	0	0	NUM
cord-186927-b8i85vo7	660	71	,	,	PUNCT
cord-186927-b8i85vo7	660	72	similarly	similarly	ADV
cord-186927-b8i85vo7	660	73	to	to	ADP
cord-186927-b8i85vo7	660	74	sis	sis	NOUN
cord-186927-b8i85vo7	660	75	models	model	NOUN
cord-186927-b8i85vo7	660	76	.	.	PUNCT
cord-186927-b8i85vo7	661	1	as	as	ADP
cord-186927-b8i85vo7	661	2	in	in	ADP
cord-186927-b8i85vo7	661	3	the	the	DET
cord-186927-b8i85vo7	661	4	previously	previously	ADV
cord-186927-b8i85vo7	661	5	described	describe	VERB
cord-186927-b8i85vo7	661	6	sir	sir	PROPN
cord-186927-b8i85vo7	661	7	model	model	NOUN
cord-186927-b8i85vo7	661	8	,	,	PUNCT
cord-186927-b8i85vo7	661	9	we	we	PRON
cord-186927-b8i85vo7	661	10	also	also	ADV
cord-186927-b8i85vo7	661	11	take	take	VERB
cord-186927-b8i85vo7	661	12	into	into	ADP
cord-186927-b8i85vo7	661	13	account	account	NOUN
cord-186927-b8i85vo7	661	14	the	the	DET
cord-186927-b8i85vo7	661	15	demographic	demographic	ADJ
cord-186927-b8i85vo7	661	16	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	661	17	of	of	ADP
cord-186927-b8i85vo7	661	18	the	the	DET
cord-186927-b8i85vo7	661	19	population	population	NOUN
cord-186927-b8i85vo7	661	20	,	,	PUNCT
cord-186927-b8i85vo7	661	21	through	through	ADP
cord-186927-b8i85vo7	661	22	the	the	DET
cord-186927-b8i85vo7	661	23	parameters	parameter	NOUN
cord-186927-b8i85vo7	661	24	λ	λ	PROPN
cord-186927-b8i85vo7	661	25	,	,	PUNCT
cord-186927-b8i85vo7	661	26	µ	µ	PROPN
cord-186927-b8i85vo7	661	27	and	and	CCONJ
cord-186927-b8i85vo7	661	28	γ	γ	PROPN
cord-186927-b8i85vo7	661	29	.	.	PROPN
cord-186927-b8i85vo7	661	30	to	to	PART
cord-186927-b8i85vo7	661	31	sum	sum	VERB
cord-186927-b8i85vo7	661	32	up	up	ADP
cord-186927-b8i85vo7	661	33	,	,	PUNCT
cord-186927-b8i85vo7	661	34	the	the	DET
cord-186927-b8i85vo7	661	35	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	661	36	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	661	37	is	be	AUX
cord-186927-b8i85vo7	661	38	represented	represent	VERB
cord-186927-b8i85vo7	661	39	in	in	ADP
cord-186927-b8i85vo7	661	40	figure	figure	NOUN
cord-186927-b8i85vo7	661	41	18	18	NUM
cord-186927-b8i85vo7	661	42	.	.	PUNCT
cord-186927-b8i85vo7	662	1	recovery	recovery	NOUN
cord-186927-b8i85vo7	662	2	similarly	similarly	ADV
cord-186927-b8i85vo7	662	3	to	to	ADP
cord-186927-b8i85vo7	662	4	the	the	DET
cord-186927-b8i85vo7	662	5	previous	previous	ADJ
cord-186927-b8i85vo7	662	6	models	model	NOUN
cord-186927-b8i85vo7	662	7	,	,	PUNCT
cord-186927-b8i85vo7	662	8	we	we	PRON
cord-186927-b8i85vo7	662	9	consider	consider	VERB
cord-186927-b8i85vo7	662	10	that	that	SCONJ
cord-186927-b8i85vo7	662	11	the	the	DET
cord-186927-b8i85vo7	662	12	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	662	13	of	of	ADP
cord-186927-b8i85vo7	662	14	the	the	DET
cord-186927-b8i85vo7	662	15	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	662	16	is	be	AUX
cord-186927-b8i85vo7	662	17	subject	subject	ADJ
cord-186927-b8i85vo7	662	18	to	to	ADP
cord-186927-b8i85vo7	662	19	a	a	DET
cord-186927-b8i85vo7	662	20	noise	noise	NOUN
cord-186927-b8i85vo7	662	21	in	in	ADP
cord-186927-b8i85vo7	662	22	the	the	DET
cord-186927-b8i85vo7	662	23	estimation	estimation	NOUN
cord-186927-b8i85vo7	662	24	of	of	ADP
cord-186927-b8i85vo7	662	25	the	the	DET
cord-186927-b8i85vo7	662	26	proportion	proportion	NOUN
cord-186927-b8i85vo7	662	27	of	of	ADP
cord-186927-b8i85vo7	662	28	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	662	29	and	and	CCONJ
cord-186927-b8i85vo7	662	30	infected	infected	ADJ
cord-186927-b8i85vo7	662	31	individuals	individual	NOUN
cord-186927-b8i85vo7	662	32	.	.	PUNCT
cord-186927-b8i85vo7	663	1	inspired	inspire	VERB
cord-186927-b8i85vo7	663	2	by	by	ADP
cord-186927-b8i85vo7	663	3	the	the	DET
cord-186927-b8i85vo7	663	4	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	663	5	model	model	NOUN
cord-186927-b8i85vo7	663	6	in	in	ADP
cord-186927-b8i85vo7	663	7	mummert	mummert	NOUN
cord-186927-b8i85vo7	663	8	and	and	CCONJ
cord-186927-b8i85vo7	663	9	otunuga	otunuga	ADJ
cord-186927-b8i85vo7	663	10	[	[	X
cord-186927-b8i85vo7	663	11	77	77	NUM
cord-186927-b8i85vo7	663	12	,	,	PUNCT
cord-186927-b8i85vo7	663	13	equation	equation	NOUN
cord-186927-b8i85vo7	663	14	(	(	PUNCT
cord-186927-b8i85vo7	663	15	3	3	NUM
cord-186927-b8i85vo7	663	16	)	)	PUNCT
cord-186927-b8i85vo7	663	17	]	]	PUNCT
cord-186927-b8i85vo7	663	18	,	,	PUNCT
cord-186927-b8i85vo7	663	19	we	we	PRON
cord-186927-b8i85vo7	663	20	therefore	therefore	ADV
cord-186927-b8i85vo7	663	21	consider	consider	VERB
cord-186927-b8i85vo7	663	22	that	that	SCONJ
cord-186927-b8i85vo7	663	23	the	the	DET
cord-186927-b8i85vo7	663	24	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	663	25	of	of	ADP
cord-186927-b8i85vo7	663	26	the	the	DET
cord-186927-b8i85vo7	663	27	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	663	28	is	be	AUX
cord-186927-b8i85vo7	663	29	given	give	VERB
cord-186927-b8i85vo7	663	30	by	by	ADP
cord-186927-b8i85vo7	663	31	the	the	DET
cord-186927-b8i85vo7	663	32	following	follow	VERB
cord-186927-b8i85vo7	663	33	system	system	NOUN
cord-186927-b8i85vo7	663	34	note	note	VERB
cord-186927-b8i85vo7	663	35	that	that	SCONJ
cord-186927-b8i85vo7	663	36	the	the	DET
cord-186927-b8i85vo7	663	37	proportion	proportion	NOUN
cord-186927-b8i85vo7	663	38	i	i	PRON
cord-186927-b8i85vo7	663	39	of	of	ADP
cord-186927-b8i85vo7	663	40	infected	infected	ADJ
cord-186927-b8i85vo7	663	41	and	and	CCONJ
cord-186927-b8i85vo7	663	42	infectious	infectious	ADJ
cord-186927-b8i85vo7	663	43	is	be	AUX
cord-186927-b8i85vo7	663	44	also	also	ADV
cord-186927-b8i85vo7	663	45	uncertain	uncertain	ADJ
cord-186927-b8i85vo7	663	46	,	,	PUNCT
cord-186927-b8i85vo7	663	47	but	but	CCONJ
cord-186927-b8i85vo7	663	48	only	only	ADV
cord-186927-b8i85vo7	663	49	through	through	ADP
cord-186927-b8i85vo7	663	50	its	its	PRON
cord-186927-b8i85vo7	663	51	dependence	dependence	NOUN
cord-186927-b8i85vo7	663	52	on	on	ADP
cord-186927-b8i85vo7	663	53	e	e	PROPN
cord-186927-b8i85vo7	663	54	and	and	CCONJ
cord-186927-b8i85vo7	663	55	the	the	DET
cord-186927-b8i85vo7	663	56	proportion	proportion	NOUN
cord-186927-b8i85vo7	663	57	r	r	NOUN
cord-186927-b8i85vo7	663	58	of	of	ADP
cord-186927-b8i85vo7	663	59	recovery	recovery	NOUN
cord-186927-b8i85vo7	663	60	is	be	AUX
cord-186927-b8i85vo7	663	61	uncertain	uncertain	ADJ
cord-186927-b8i85vo7	663	62	only	only	ADV
cord-186927-b8i85vo7	663	63	through	through	ADP
cord-186927-b8i85vo7	663	64	its	its	PRON
cord-186927-b8i85vo7	663	65	dependence	dependence	NOUN
cord-186927-b8i85vo7	663	66	on	on	ADP
cord-186927-b8i85vo7	663	67	i.	i.	PROPN
cord-186927-b8i85vo7	663	68	more	more	ADV
cord-186927-b8i85vo7	663	69	precisely	precisely	ADV
cord-186927-b8i85vo7	663	70	,	,	PUNCT
cord-186927-b8i85vo7	663	71	we	we	PRON
cord-186927-b8i85vo7	663	72	assume	assume	VERB
cord-186927-b8i85vo7	663	73	that	that	SCONJ
cord-186927-b8i85vo7	663	74	there	there	PRON
cord-186927-b8i85vo7	663	75	is	be	VERB
cord-186927-b8i85vo7	663	76	no	no	DET
cord-186927-b8i85vo7	663	77	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	663	78	on	on	ADP
cord-186927-b8i85vo7	663	79	both	both	CCONJ
cord-186927-b8i85vo7	663	80	the	the	DET
cord-186927-b8i85vo7	663	81	recovery	recovery	NOUN
cord-186927-b8i85vo7	663	82	rate	rate	NOUN
cord-186927-b8i85vo7	663	83	ρ	ρ	PROPN
cord-186927-b8i85vo7	663	84	,	,	PUNCT
cord-186927-b8i85vo7	663	85	the	the	DET
cord-186927-b8i85vo7	663	86	rate	rate	NOUN
cord-186927-b8i85vo7	663	87	ι	ι	PROPN
cord-186927-b8i85vo7	663	88	at	at	ADP
cord-186927-b8i85vo7	663	89	which	which	PRON
cord-186927-b8i85vo7	663	90	infected	infect	VERB
cord-186927-b8i85vo7	663	91	people	people	NOUN
cord-186927-b8i85vo7	663	92	becomes	become	VERB
cord-186927-b8i85vo7	663	93	infectious	infectious	ADJ
cord-186927-b8i85vo7	663	94	and	and	CCONJ
cord-186927-b8i85vo7	663	95	the	the	DET
cord-186927-b8i85vo7	663	96	(	(	PUNCT
cord-186927-b8i85vo7	663	97	potentially	potentially	ADV
cord-186927-b8i85vo7	663	98	)	)	PUNCT
cord-186927-b8i85vo7	663	99	rate	rate	NOUN
cord-186927-b8i85vo7	663	100	ν	ν	NOUN
cord-186927-b8i85vo7	663	101	at	at	ADP
cord-186927-b8i85vo7	663	102	which	which	PRON
cord-186927-b8i85vo7	663	103	an	an	DET
cord-186927-b8i85vo7	663	104	individual	individual	NOUN
cord-186927-b8i85vo7	663	105	loses	lose	VERB
cord-186927-b8i85vo7	663	106	immunity	immunity	NOUN
cord-186927-b8i85vo7	663	107	,	,	PUNCT
cord-186927-b8i85vo7	663	108	implying	imply	VERB
cord-186927-b8i85vo7	663	109	that	that	SCONJ
cord-186927-b8i85vo7	663	110	if	if	SCONJ
cord-186927-b8i85vo7	663	111	the	the	DET
cord-186927-b8i85vo7	663	112	proportion	proportion	NOUN
cord-186927-b8i85vo7	663	113	of	of	ADP
cord-186927-b8i85vo7	663	114	exposed	expose	VERB
cord-186927-b8i85vo7	663	115	individual	individual	NOUN
cord-186927-b8i85vo7	663	116	is	be	AUX
cord-186927-b8i85vo7	663	117	perfectly	perfectly	ADV
cord-186927-b8i85vo7	663	118	known	know	VERB
cord-186927-b8i85vo7	663	119	,	,	PUNCT
cord-186927-b8i85vo7	663	120	the	the	DET
cord-186927-b8i85vo7	663	121	proportion	proportion	NOUN
cord-186927-b8i85vo7	663	122	of	of	ADP
cord-186927-b8i85vo7	663	123	infected	infect	VERB
cord-186927-b8i85vo7	663	124	is	be	AUX
cord-186927-b8i85vo7	663	125	also	also	ADV
cord-186927-b8i85vo7	663	126	known	know	VERB
cord-186927-b8i85vo7	663	127	without	without	ADP
cord-186927-b8i85vo7	663	128	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	663	129	and	and	CCONJ
cord-186927-b8i85vo7	663	130	consequently	consequently	ADV
cord-186927-b8i85vo7	663	131	the	the	DET
cord-186927-b8i85vo7	663	132	proportion	proportion	NOUN
cord-186927-b8i85vo7	663	133	of	of	ADP
cord-186927-b8i85vo7	663	134	recovery	recovery	NOUN
cord-186927-b8i85vo7	663	135	is	be	AUX
cord-186927-b8i85vo7	663	136	also	also	ADV
cord-186927-b8i85vo7	663	137	certainly	certainly	ADV
cord-186927-b8i85vo7	663	138	known	know	VERB
cord-186927-b8i85vo7	663	139	.	.	PUNCT
cord-186927-b8i85vo7	664	1	again	again	ADV
cord-186927-b8i85vo7	664	2	this	this	DET
cord-186927-b8i85vo7	664	3	modelling	modelling	NOUN
cord-186927-b8i85vo7	664	4	choice	choice	NOUN
cord-186927-b8i85vo7	664	5	is	be	AUX
cord-186927-b8i85vo7	664	6	consistent	consistent	ADJ
cord-186927-b8i85vo7	664	7	with	with	ADP
cord-186927-b8i85vo7	664	8	most	most	ADJ
cord-186927-b8i85vo7	664	9	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	664	10	seirs	seir	NOUN
cord-186927-b8i85vo7	664	11	models	model	NOUN
cord-186927-b8i85vo7	664	12	,	,	PUNCT
cord-186927-b8i85vo7	664	13	and	and	CCONJ
cord-186927-b8i85vo7	664	14	emphasises	emphasise	VERB
cord-186927-b8i85vo7	664	15	that	that	SCONJ
cord-186927-b8i85vo7	664	16	the	the	DET
cord-186927-b8i85vo7	664	17	major	major	ADJ
cord-186927-b8i85vo7	664	18	uncertainty	uncertainty	NOUN
cord-186927-b8i85vo7	664	19	in	in	ADP
cord-186927-b8i85vo7	664	20	the	the	DET
cord-186927-b8i85vo7	664	21	current	current	ADJ
cord-186927-b8i85vo7	664	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	664	23	is	be	AUX
cord-186927-b8i85vo7	664	24	related	relate	VERB
cord-186927-b8i85vo7	664	25	to	to	ADP
cord-186927-b8i85vo7	664	26	the	the	DET
cord-186927-b8i85vo7	664	27	non	non	ADJ
cord-186927-b8i85vo7	664	28	-	-	ADJ
cord-186927-b8i85vo7	664	29	negligible	negligible	ADJ
cord-186927-b8i85vo7	664	30	proportion	proportion	NOUN
cord-186927-b8i85vo7	664	31	of	of	ADP
cord-186927-b8i85vo7	664	32	(	(	PUNCT
cord-186927-b8i85vo7	664	33	nearly	nearly	ADV
cord-186927-b8i85vo7	664	34	)	)	PUNCT
cord-186927-b8i85vo7	664	35	asymptomatic	asymptomatic	ADJ
cord-186927-b8i85vo7	664	36	individuals	individual	NOUN
cord-186927-b8i85vo7	664	37	.	.	PUNCT
cord-186927-b8i85vo7	665	1	indeed	indeed	ADV
cord-186927-b8i85vo7	665	2	,	,	PUNCT
cord-186927-b8i85vo7	665	3	an	an	DET
cord-186927-b8i85vo7	665	4	asymptomatic	asymptomatic	ADJ
cord-186927-b8i85vo7	665	5	individual	individual	NOUN
cord-186927-b8i85vo7	665	6	may	may	AUX
cord-186927-b8i85vo7	665	7	be	be	AUX
cord-186927-b8i85vo7	665	8	misclassified	misclassifie	VERB
cord-186927-b8i85vo7	665	9	as	as	ADP
cord-186927-b8i85vo7	665	10	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	665	11	or	or	CCONJ
cord-186927-b8i85vo7	665	12	exposed	expose	VERB
cord-186927-b8i85vo7	665	13	.	.	PUNCT
cord-186927-b8i85vo7	666	1	we	we	PRON
cord-186927-b8i85vo7	666	2	will	will	AUX
cord-186927-b8i85vo7	666	3	now	now	ADV
cord-186927-b8i85vo7	666	4	give	give	VERB
cord-186927-b8i85vo7	666	5	(	(	PUNCT
cord-186927-b8i85vo7	666	6	informally	informally	ADV
cord-186927-b8i85vo7	666	7	)	)	PUNCT
cord-186927-b8i85vo7	666	8	the	the	DET
cord-186927-b8i85vo7	666	9	optimisation	optimisation	NOUN
cord-186927-b8i85vo7	666	10	problems	problem	NOUN
cord-186927-b8i85vo7	666	11	faced	face	VERB
cord-186927-b8i85vo7	666	12	by	by	ADP
cord-186927-b8i85vo7	666	13	both	both	DET
cord-186927-b8i85vo7	666	14	the	the	DET
cord-186927-b8i85vo7	666	15	population	population	NOUN
cord-186927-b8i85vo7	666	16	and	and	CCONJ
cord-186927-b8i85vo7	666	17	the	the	DET
cord-186927-b8i85vo7	666	18	government	government	NOUN
cord-186927-b8i85vo7	666	19	,	,	PUNCT
cord-186927-b8i85vo7	666	20	the	the	DET
cord-186927-b8i85vo7	666	21	rigorous	rigorous	ADJ
cord-186927-b8i85vo7	666	22	treatment	treatment	NOUN
cord-186927-b8i85vo7	666	23	can	can	AUX
cord-186927-b8i85vo7	666	24	be	be	AUX
cord-186927-b8i85vo7	666	25	done	do	VERB
cord-186927-b8i85vo7	666	26	following	follow	VERB
cord-186927-b8i85vo7	666	27	the	the	DET
cord-186927-b8i85vo7	666	28	lines	line	NOUN
cord-186927-b8i85vo7	666	29	of	of	ADP
cord-186927-b8i85vo7	666	30	section	section	NOUN
cord-186927-b8i85vo7	666	31	4	4	NUM
cord-186927-b8i85vo7	666	32	.	.	PUNCT
cord-186927-b8i85vo7	667	1	the	the	DET
cord-186927-b8i85vo7	667	2	most	most	ADV
cord-186927-b8i85vo7	667	3	important	important	ADJ
cord-186927-b8i85vo7	667	4	change	change	NOUN
cord-186927-b8i85vo7	667	5	compared	compare	VERB
cord-186927-b8i85vo7	667	6	to	to	ADP
cord-186927-b8i85vo7	667	7	sis	sis	PROPN
cord-186927-b8i85vo7	667	8	/	/	SYM
cord-186927-b8i85vo7	667	9	sir	sir	PROPN
cord-186927-b8i85vo7	667	10	models	model	NOUN
cord-186927-b8i85vo7	667	11	is	be	AUX
cord-186927-b8i85vo7	667	12	that	that	SCONJ
cord-186927-b8i85vo7	667	13	the	the	DET
cord-186927-b8i85vo7	667	14	criteria	criterion	NOUN
cord-186927-b8i85vo7	667	15	should	should	AUX
cord-186927-b8i85vo7	667	16	now	now	ADV
cord-186927-b8i85vo7	667	17	depend	depend	VERB
cord-186927-b8i85vo7	667	18	on	on	ADP
cord-186927-b8i85vo7	667	19	the	the	DET
cord-186927-b8i85vo7	667	20	sum	sum	NOUN
cord-186927-b8i85vo7	667	21	e	e	NOUN
cord-186927-b8i85vo7	667	22	+	+	CCONJ
cord-186927-b8i85vo7	667	23	i	i	NOUN
cord-186927-b8i85vo7	667	24	,	,	PUNCT
cord-186927-b8i85vo7	667	25	representing	represent	VERB
cord-186927-b8i85vo7	667	26	the	the	DET
cord-186927-b8i85vo7	667	27	proportion	proportion	NOUN
cord-186927-b8i85vo7	667	28	of	of	ADP
cord-186927-b8i85vo7	667	29	the	the	DET
cord-186927-b8i85vo7	667	30	population	population	NOUN
cord-186927-b8i85vo7	667	31	having	having	AUX
cord-186927-b8i85vo7	667	32	contracted	contract	VERB
cord-186927-b8i85vo7	667	33	the	the	DET
cord-186927-b8i85vo7	667	34	disease	disease	NOUN
cord-186927-b8i85vo7	667	35	,	,	PUNCT
cord-186927-b8i85vo7	667	36	rather	rather	ADV
cord-186927-b8i85vo7	667	37	than	than	ADP
cord-186927-b8i85vo7	667	38	just	just	ADV
cord-186927-b8i85vo7	667	39	the	the	DET
cord-186927-b8i85vo7	667	40	proportion	proportion	NOUN
cord-186927-b8i85vo7	667	41	i	i	PRON
cord-186927-b8i85vo7	667	42	of	of	ADP
cord-186927-b8i85vo7	667	43	infectious	infectious	ADJ
cord-186927-b8i85vo7	667	44	people	people	NOUN
cord-186927-b8i85vo7	667	45	.	.	PUNCT
cord-186927-b8i85vo7	668	1	unless	unless	SCONJ
cord-186927-b8i85vo7	668	2	otherwise	otherwise	ADV
cord-186927-b8i85vo7	668	3	stated	state	VERB
cord-186927-b8i85vo7	668	4	,	,	PUNCT
cord-186927-b8i85vo7	668	5	the	the	DET
cord-186927-b8i85vo7	668	6	notations	notation	NOUN
cord-186927-b8i85vo7	668	7	are	be	AUX
cord-186927-b8i85vo7	668	8	those	those	PRON
cord-186927-b8i85vo7	668	9	of	of	ADP
cord-186927-b8i85vo7	668	10	section	section	NOUN
cord-186927-b8i85vo7	668	11	4	4	NUM
cord-186927-b8i85vo7	668	12	.	.	PUNCT
cord-186927-b8i85vo7	669	1	the	the	DET
cord-186927-b8i85vo7	669	2	problem	problem	NOUN
cord-186927-b8i85vo7	669	3	of	of	ADP
cord-186927-b8i85vo7	669	4	the	the	DET
cord-186927-b8i85vo7	669	5	population	population	NOUN
cord-186927-b8i85vo7	669	6	is	be	AUX
cord-186927-b8i85vo7	669	7	now	now	ADV
cord-186927-b8i85vo7	669	8	while	while	SCONJ
cord-186927-b8i85vo7	669	9	that	that	PRON
cord-186927-b8i85vo7	669	10	of	of	ADP
cord-186927-b8i85vo7	669	11	the	the	DET
cord-186927-b8i85vo7	669	12	government	government	NOUN
cord-186927-b8i85vo7	669	13	becomes	become	VERB
cord-186927-b8i85vo7	669	14	notice	notice	NOUN
cord-186927-b8i85vo7	669	15	that	that	SCONJ
cord-186927-b8i85vo7	669	16	in	in	ADP
cord-186927-b8i85vo7	669	17	the	the	DET
cord-186927-b8i85vo7	669	18	cost	cost	NOUN
cord-186927-b8i85vo7	669	19	function	function	NOUN
cord-186927-b8i85vo7	669	20	k	k	PROPN
cord-186927-b8i85vo7	669	21	,	,	PUNCT
cord-186927-b8i85vo7	669	22	we	we	PRON
cord-186927-b8i85vo7	669	23	did	do	AUX
cord-186927-b8i85vo7	669	24	not	not	PART
cord-186927-b8i85vo7	669	25	replace	replace	VERB
cord-186927-b8i85vo7	669	26	i	i	PRON
cord-186927-b8i85vo7	669	27	by	by	ADP
cord-186927-b8i85vo7	669	28	i	i	PRON
cord-186927-b8i85vo7	669	29	+	+	CCONJ
cord-186927-b8i85vo7	669	30	e.	e.	PROPN
cord-186927-b8i85vo7	670	1	this	this	PRON
cord-186927-b8i85vo7	670	2	is	be	AUX
cord-186927-b8i85vo7	670	3	due	due	ADJ
cord-186927-b8i85vo7	670	4	to	to	ADP
cord-186927-b8i85vo7	670	5	the	the	DET
cord-186927-b8i85vo7	670	6	fact	fact	NOUN
cord-186927-b8i85vo7	670	7	that	that	SCONJ
cord-186927-b8i85vo7	670	8	this	this	DET
cord-186927-b8i85vo7	670	9	cost	cost	NOUN
cord-186927-b8i85vo7	670	10	should	should	AUX
cord-186927-b8i85vo7	670	11	scale	scale	VERB
cord-186927-b8i85vo7	670	12	with	with	ADP
cord-186927-b8i85vo7	670	13	the	the	DET
cord-186927-b8i85vo7	670	14	volatility	volatility	NOUN
cord-186927-b8i85vo7	670	15	of	of	ADP
cord-186927-b8i85vo7	670	16	i	i	PRON
cord-186927-b8i85vo7	670	17	+	+	PRON
cord-186927-b8i85vo7	670	18	e	e	PROPN
cord-186927-b8i85vo7	671	1	(	(	PUNCT
cord-186927-b8i85vo7	671	2	see	see	VERB
cord-186927-b8i85vo7	671	3	the	the	DET
cord-186927-b8i85vo7	671	4	discussion	discussion	NOUN
cord-186927-b8i85vo7	671	5	in	in	ADP
cord-186927-b8i85vo7	671	6	example	example	NOUN
cord-186927-b8i85vo7	671	7	2.2	2.2	NUM
cord-186927-b8i85vo7	671	8	)	)	PUNCT
cord-186927-b8i85vo7	671	9	,	,	PUNCT
cord-186927-b8i85vo7	671	10	which	which	PRON
cord-186927-b8i85vo7	671	11	is	be	AUX
cord-186927-b8i85vo7	671	12	still	still	ADV
cord-186927-b8i85vo7	671	13	σ	σ	PROPN
cord-186927-b8i85vo7	671	14	2	2	NUM
cord-186927-b8i85vo7	671	15	α	α	X
cord-186927-b8i85vo7	671	16	·	·	PUNCT
cord-186927-b8i85vo7	671	17	(	(	PUNCT
cord-186927-b8i85vo7	671	18	s	s	X
cord-186927-b8i85vo7	671	19	·	·	PUNCT
cord-186927-b8i85vo7	671	20	i	i	PROPN
cord-186927-b8i85vo7	671	21	·	·	PUNCT
cord-186927-b8i85vo7	671	22	)	)	PUNCT
cord-186927-b8i85vo7	671	23	2	2	NUM
cord-186927-b8i85vo7	671	24	in	in	ADP
cord-186927-b8i85vo7	671	25	the	the	DET
cord-186927-b8i85vo7	671	26	model	model	NOUN
cord-186927-b8i85vo7	671	27	(	(	PUNCT
cord-186927-b8i85vo7	671	28	5.1	5.1	NUM
cord-186927-b8i85vo7	671	29	)	)	PUNCT
cord-186927-b8i85vo7	671	30	.	.	PUNCT
cord-186927-b8i85vo7	672	1	for	for	ADP
cord-186927-b8i85vo7	672	2	b	b	PROPN
cord-186927-b8i85vo7	672	3	∈	∈	PROPN
cord-186927-b8i85vo7	672	4	b.	b.	NOUN
cord-186927-b8i85vo7	673	1	given	give	VERB
cord-186927-b8i85vo7	673	2	the	the	DET
cord-186927-b8i85vo7	673	3	supremum	supremum	NOUN
cord-186927-b8i85vo7	673	4	appearing	appear	VERB
cord-186927-b8i85vo7	673	5	above	above	ADV
cord-186927-b8i85vo7	673	6	,	,	PUNCT
cord-186927-b8i85vo7	673	7	and	and	CCONJ
cord-186927-b8i85vo7	673	8	similarly	similarly	ADV
cord-186927-b8i85vo7	673	9	to	to	ADP
cord-186927-b8i85vo7	673	10	assumption	assumption	NOUN
cord-186927-b8i85vo7	673	11	4.5	4.5	NUM
cord-186927-b8i85vo7	673	12	,	,	PUNCT
cord-186927-b8i85vo7	673	13	we	we	PRON
cord-186927-b8i85vo7	673	14	make	make	VERB
cord-186927-b8i85vo7	673	15	the	the	DET
cord-186927-b8i85vo7	673	16	following	follow	VERB
cord-186927-b8i85vo7	673	17	assumption	assumption	NOUN
cord-186927-b8i85vo7	673	18	.	.	PUNCT
cord-186927-b8i85vo7	674	1	therefore	therefore	ADV
cord-186927-b8i85vo7	674	2	,	,	PUNCT
cord-186927-b8i85vo7	674	3	a	a	DET
cord-186927-b8i85vo7	674	4	straightforward	straightforward	ADJ
cord-186927-b8i85vo7	674	5	adaption	adaption	NOUN
cord-186927-b8i85vo7	674	6	of	of	ADP
cord-186927-b8i85vo7	674	7	our	our	PRON
cord-186927-b8i85vo7	674	8	earlier	early	ADJ
cord-186927-b8i85vo7	674	9	arguments	argument	NOUN
cord-186927-b8i85vo7	674	10	will	will	AUX
cord-186927-b8i85vo7	674	11	show	show	VERB
cord-186927-b8i85vo7	674	12	that	that	SCONJ
cord-186927-b8i85vo7	674	13	every	every	DET
cord-186927-b8i85vo7	674	14	admissible	admissible	ADJ
cord-186927-b8i85vo7	674	15	contract	contract	NOUN
cord-186927-b8i85vo7	674	16	will	will	AUX
cord-186927-b8i85vo7	674	17	take	take	VERB
cord-186927-b8i85vo7	674	18	the	the	DET
cord-186927-b8i85vo7	674	19	form	form	NOUN
cord-186927-b8i85vo7	674	20	χ	χ	X
cord-186927-b8i85vo7	674	21	:	:	PUNCT
cord-186927-b8i85vo7	674	22	=	=	PROPN
cord-186927-b8i85vo7	674	23	−u	−u	PROPN
cord-186927-b8i85vo7	674	24	(	(	PUNCT
cord-186927-b8i85vo7	674	25	−1	−1	NOUN
cord-186927-b8i85vo7	674	26	)	)	PUNCT
cord-186927-b8i85vo7	674	27	(	(	PUNCT
cord-186927-b8i85vo7	674	28	y	y	PROPN
cord-186927-b8i85vo7	674	29	t	t	PROPN
cord-186927-b8i85vo7	674	30	)	)	PUNCT
cord-186927-b8i85vo7	674	31	where	where	SCONJ
cord-186927-b8i85vo7	674	32	where	where	SCONJ
cord-186927-b8i85vo7	674	33	β	β	PROPN
cord-186927-b8i85vo7	674	34	t	t	NOUN
cord-186927-b8i85vo7	674	35	:	:	PUNCT
cord-186927-b8i85vo7	674	36	=	=	PROPN
cord-186927-b8i85vo7	674	37	b	b	PROPN
cord-186927-b8i85vo7	674	38	(	(	PUNCT
cord-186927-b8i85vo7	674	39	t	t	PROPN
cord-186927-b8i85vo7	674	40	,	,	PUNCT
cord-186927-b8i85vo7	674	41	s	s	NOUN
cord-186927-b8i85vo7	674	42	t	t	NOUN
cord-186927-b8i85vo7	674	43	,	,	PUNCT
cord-186927-b8i85vo7	674	44	e	e	PROPN
cord-186927-b8i85vo7	674	45	t	t	PROPN
cord-186927-b8i85vo7	674	46	,	,	PUNCT
cord-186927-b8i85vo7	674	47	i	i	PRON
cord-186927-b8i85vo7	674	48	t	t	NOUN
cord-186927-b8i85vo7	674	49	,	,	PUNCT
cord-186927-b8i85vo7	674	50	z	z	NOUN
cord-186927-b8i85vo7	674	51	t	t	PROPN
cord-186927-b8i85vo7	674	52	,	,	PUNCT
cord-186927-b8i85vo7	674	53	α	α	PROPN
cord-186927-b8i85vo7	674	54	t	t	NOUN
cord-186927-b8i85vo7	674	55	)	)	PUNCT
cord-186927-b8i85vo7	674	56	for	for	ADP
cord-186927-b8i85vo7	674	57	all	all	DET
cord-186927-b8i85vo7	674	58	t	t	NOUN
cord-186927-b8i85vo7	674	59	∈	∈	NOUN
cord-186927-b8i85vo7	674	60	[	[	X
cord-186927-b8i85vo7	674	61	0	0	NUM
cord-186927-b8i85vo7	674	62	,	,	PUNCT
cord-186927-b8i85vo7	674	63	t	t	NOUN
cord-186927-b8i85vo7	674	64	]	]	PUNCT
cord-186927-b8i85vo7	674	65	is	be	AUX
cord-186927-b8i85vo7	674	66	the	the	DET
cord-186927-b8i85vo7	674	67	optimal	optimal	ADJ
cord-186927-b8i85vo7	674	68	control	control	NOUN
cord-186927-b8i85vo7	674	69	of	of	ADP
cord-186927-b8i85vo7	674	70	the	the	DET
cord-186927-b8i85vo7	674	71	population	population	NOUN
cord-186927-b8i85vo7	674	72	.	.	PUNCT
cord-186927-b8i85vo7	675	1	it	it	PRON
cord-186927-b8i85vo7	675	2	thus	thus	ADV
cord-186927-b8i85vo7	675	3	remain	remain	VERB
cord-186927-b8i85vo7	675	4	to	to	PART
cord-186927-b8i85vo7	675	5	solve	solve	VERB
cord-186927-b8i85vo7	675	6	the	the	DET
cord-186927-b8i85vo7	675	7	government	government	NOUN
cord-186927-b8i85vo7	675	8	's	's	PART
cord-186927-b8i85vo7	675	9	problem	problem	NOUN
cord-186927-b8i85vo7	675	10	.	.	PUNCT
cord-186927-b8i85vo7	676	1	unlike	unlike	ADP
cord-186927-b8i85vo7	676	2	in	in	ADP
cord-186927-b8i85vo7	676	3	the	the	DET
cord-186927-b8i85vo7	676	4	previous	previous	ADJ
cord-186927-b8i85vo7	676	5	sis	sis	NOUN
cord-186927-b8i85vo7	676	6	/	/	SYM
cord-186927-b8i85vo7	676	7	sir	sir	NOUN
cord-186927-b8i85vo7	676	8	models	model	NOUN
cord-186927-b8i85vo7	676	9	,	,	PUNCT
cord-186927-b8i85vo7	676	10	there	there	PRON
cord-186927-b8i85vo7	676	11	are	be	VERB
cord-186927-b8i85vo7	676	12	now	now	ADV
cord-186927-b8i85vo7	676	13	four	four	NUM
cord-186927-b8i85vo7	676	14	state	state	NOUN
cord-186927-b8i85vo7	676	15	variables	variable	NOUN
cord-186927-b8i85vo7	676	16	for	for	ADP
cord-186927-b8i85vo7	676	17	the	the	DET
cord-186927-b8i85vo7	676	18	government	government	NOUN
cord-186927-b8i85vo7	676	19	's	's	PART
cord-186927-b8i85vo7	676	20	problem	problem	NOUN
cord-186927-b8i85vo7	676	21	,	,	PUNCT
cord-186927-b8i85vo7	676	22	namely	namely	ADV
cord-186927-b8i85vo7	676	23	(	(	PUNCT
cord-186927-b8i85vo7	676	24	s	s	PROPN
cord-186927-b8i85vo7	676	25	,	,	PUNCT
cord-186927-b8i85vo7	676	26	e	e	PROPN
cord-186927-b8i85vo7	676	27	,	,	PUNCT
cord-186927-b8i85vo7	676	28	i	i	PROPN
cord-186927-b8i85vo7	676	29	,	,	PUNCT
cord-186927-b8i85vo7	676	30	y	y	PROPN
cord-186927-b8i85vo7	676	31	)	)	PUNCT
cord-186927-b8i85vo7	676	32	,	,	PUNCT
cord-186927-b8i85vo7	676	33	whose	whose	DET
cord-186927-b8i85vo7	676	34	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	676	35	under	under	ADP
cord-186927-b8i85vo7	676	36	the	the	DET
cord-186927-b8i85vo7	676	37	optimal	optimal	ADJ
cord-186927-b8i85vo7	676	38	effort	effort	NOUN
cord-186927-b8i85vo7	676	39	of	of	ADP
cord-186927-b8i85vo7	676	40	the	the	DET
cord-186927-b8i85vo7	676	41	population	population	NOUN
cord-186927-b8i85vo7	676	42	is	be	AUX
cord-186927-b8i85vo7	676	43	as	as	SCONJ
cord-186927-b8i85vo7	676	44	follows	follow	VERB
cord-186927-b8i85vo7	676	45	recalling	recall	VERB
cord-186927-b8i85vo7	676	46	that	that	SCONJ
cord-186927-b8i85vo7	676	47	f	f	PROPN
cord-186927-b8i85vo7	676	48	is	be	AUX
cord-186927-b8i85vo7	676	49	defined	define	VERB
cord-186927-b8i85vo7	676	50	by	by	ADP
cord-186927-b8i85vo7	676	51	(	(	PUNCT
cord-186927-b8i85vo7	676	52	4.4	4.4	NUM
cord-186927-b8i85vo7	676	53	)	)	PUNCT
cord-186927-b8i85vo7	676	54	.	.	PUNCT
cord-186927-b8i85vo7	677	1	solving	solve	VERB
cord-186927-b8i85vo7	677	2	numerically	numerically	ADV
cord-186927-b8i85vo7	677	3	(	(	PUNCT
cord-186927-b8i85vo7	677	4	5.8	5.8	NUM
cord-186927-b8i85vo7	677	5	)	)	PUNCT
cord-186927-b8i85vo7	677	6	is	be	AUX
cord-186927-b8i85vo7	677	7	really	really	ADV
cord-186927-b8i85vo7	677	8	more	more	ADV
cord-186927-b8i85vo7	677	9	challenging	challenging	ADJ
cord-186927-b8i85vo7	677	10	since	since	SCONJ
cord-186927-b8i85vo7	677	11	it	it	PRON
cord-186927-b8i85vo7	677	12	increases	increase	VERB
cord-186927-b8i85vo7	677	13	the	the	DET
cord-186927-b8i85vo7	677	14	dimension	dimension	NOUN
cord-186927-b8i85vo7	677	15	of	of	ADP
cord-186927-b8i85vo7	677	16	the	the	DET
cord-186927-b8i85vo7	677	17	problem	problem	NOUN
cord-186927-b8i85vo7	677	18	.	.	PUNCT
cord-186927-b8i85vo7	678	1	a	a	DET
cord-186927-b8i85vo7	678	2	numerical	numerical	ADJ
cord-186927-b8i85vo7	678	3	investigation	investigation	NOUN
cord-186927-b8i85vo7	678	4	seems	seem	VERB
cord-186927-b8i85vo7	678	5	to	to	PART
cord-186927-b8i85vo7	678	6	be	be	AUX
cord-186927-b8i85vo7	678	7	complicated	complicated	ADJ
cord-186927-b8i85vo7	678	8	as	as	ADV
cord-186927-b8i85vo7	678	9	far	far	ADV
cord-186927-b8i85vo7	678	10	as	as	SCONJ
cord-186927-b8i85vo7	678	11	we	we	PRON
cord-186927-b8i85vo7	678	12	now	now	ADV
cord-186927-b8i85vo7	678	13	,	,	PUNCT
cord-186927-b8i85vo7	678	14	and	and	CCONJ
cord-186927-b8i85vo7	678	15	we	we	PRON
cord-186927-b8i85vo7	678	16	left	leave	VERB
cord-186927-b8i85vo7	678	17	these	these	DET
cord-186927-b8i85vo7	678	18	numerical	numerical	ADJ
cord-186927-b8i85vo7	678	19	issues	issue	NOUN
cord-186927-b8i85vo7	678	20	for	for	ADP
cord-186927-b8i85vo7	678	21	future	future	ADJ
cord-186927-b8i85vo7	678	22	researches	research	NOUN
cord-186927-b8i85vo7	678	23	.	.	PUNCT
cord-186927-b8i85vo7	679	1	there	there	PRON
cord-186927-b8i85vo7	679	2	are	be	VERB
cord-186927-b8i85vo7	679	3	of	of	ADP
cord-186927-b8i85vo7	679	4	course	course	NOUN
cord-186927-b8i85vo7	679	5	plethora	plethora	NOUN
cord-186927-b8i85vo7	679	6	of	of	ADP
cord-186927-b8i85vo7	679	7	generalisations	generalisation	NOUN
cord-186927-b8i85vo7	679	8	of	of	ADP
cord-186927-b8i85vo7	679	9	the	the	DET
cord-186927-b8i85vo7	679	10	models	model	NOUN
cord-186927-b8i85vo7	679	11	we	we	PRON
cord-186927-b8i85vo7	679	12	have	have	AUX
cord-186927-b8i85vo7	679	13	considered	consider	VERB
cord-186927-b8i85vo7	679	14	so	so	ADV
cord-186927-b8i85vo7	679	15	far	far	ADV
cord-186927-b8i85vo7	679	16	.	.	PUNCT
cord-186927-b8i85vo7	680	1	for	for	ADP
cord-186927-b8i85vo7	680	2	instance	instance	NOUN
cord-186927-b8i85vo7	680	3	,	,	PUNCT
cord-186927-b8i85vo7	680	4	in	in	ADP
cord-186927-b8i85vo7	680	5	seirs	seirs	PROPN
cord-186927-b8i85vo7	680	6	(	(	PUNCT
cord-186927-b8i85vo7	680	7	or	or	CCONJ
cord-186927-b8i85vo7	680	8	also	also	ADV
cord-186927-b8i85vo7	680	9	sirs	sir	NOUN
cord-186927-b8i85vo7	680	10	)	)	PUNCT
cord-186927-b8i85vo7	680	11	models	model	NOUN
cord-186927-b8i85vo7	680	12	,	,	PUNCT
cord-186927-b8i85vo7	680	13	the	the	DET
cord-186927-b8i85vo7	680	14	immunity	immunity	NOUN
cord-186927-b8i85vo7	680	15	is	be	AUX
cord-186927-b8i85vo7	680	16	temporary	temporary	ADJ
cord-186927-b8i85vo7	680	17	,	,	PUNCT
cord-186927-b8i85vo7	680	18	i.e.	i.e.	X
cord-186927-b8i85vo7	680	19	people	people	NOUN
cord-186927-b8i85vo7	680	20	in	in	ADP
cord-186927-b8i85vo7	680	21	the	the	DET
cord-186927-b8i85vo7	680	22	class	class	NOUN
cord-186927-b8i85vo7	680	23	r	r	NOUN
cord-186927-b8i85vo7	680	24	may	may	AUX
cord-186927-b8i85vo7	680	25	come	come	VERB
cord-186927-b8i85vo7	680	26	back	back	ADV
cord-186927-b8i85vo7	680	27	into	into	ADP
cord-186927-b8i85vo7	680	28	the	the	DET
cord-186927-b8i85vo7	680	29	class	class	NOUN
cord-186927-b8i85vo7	680	30	s	s	PROPN
cord-186927-b8i85vo7	680	31	at	at	ADP
cord-186927-b8i85vo7	680	32	rate	rate	NOUN
cord-186927-b8i85vo7	680	33	ν	ν	PROPN
cord-186927-b8i85vo7	680	34	.	.	PUNCT
cord-186927-b8i85vo7	681	1	using	use	VERB
cord-186927-b8i85vo7	681	2	a	a	DET
cord-186927-b8i85vo7	681	3	similar	similar	ADJ
cord-186927-b8i85vo7	681	4	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	681	5	extension	extension	NOUN
cord-186927-b8i85vo7	681	6	of	of	ADP
cord-186927-b8i85vo7	681	7	this	this	DET
cord-186927-b8i85vo7	681	8	model	model	NOUN
cord-186927-b8i85vo7	681	9	,	,	PUNCT
cord-186927-b8i85vo7	681	10	it	it	PRON
cord-186927-b8i85vo7	681	11	is	be	AUX
cord-186927-b8i85vo7	681	12	straightforward	straightforward	ADJ
cord-186927-b8i85vo7	681	13	that	that	SCONJ
cord-186927-b8i85vo7	681	14	all	all	DET
cord-186927-b8i85vo7	681	15	our	our	PRON
cord-186927-b8i85vo7	681	16	results	result	NOUN
cord-186927-b8i85vo7	681	17	extend	extend	VERB
cord-186927-b8i85vo7	681	18	,	,	PUNCT
cord-186927-b8i85vo7	681	19	mutatis	mutatis	NOUN
cord-186927-b8i85vo7	681	20	mutandis	mutandi	NOUN
cord-186927-b8i85vo7	681	21	,	,	PUNCT
cord-186927-b8i85vo7	681	22	to	to	ADP
cord-186927-b8i85vo7	681	23	this	this	DET
cord-186927-b8i85vo7	681	24	case	case	NOUN
cord-186927-b8i85vo7	681	25	as	as	ADV
cord-186927-b8i85vo7	681	26	well	well	ADV
cord-186927-b8i85vo7	681	27	,	,	PUNCT
cord-186927-b8i85vo7	681	28	albeit	albeit	SCONJ
cord-186927-b8i85vo7	681	29	with	with	ADP
cord-186927-b8i85vo7	681	30	one	one	NUM
cord-186927-b8i85vo7	681	31	important	important	ADJ
cord-186927-b8i85vo7	681	32	difference	difference	NOUN
cord-186927-b8i85vo7	681	33	:	:	PUNCT
cord-186927-b8i85vo7	681	34	the	the	DET
cord-186927-b8i85vo7	681	35	control	control	NOUN
cord-186927-b8i85vo7	681	36	problem	problem	NOUN
cord-186927-b8i85vo7	681	37	faced	face	VERB
cord-186927-b8i85vo7	681	38	by	by	ADP
cord-186927-b8i85vo7	681	39	the	the	DET
cord-186927-b8i85vo7	681	40	government	government	NOUN
cord-186927-b8i85vo7	681	41	now	now	ADV
cord-186927-b8i85vo7	681	42	has	have	VERB
cord-186927-b8i85vo7	681	43	5	5	NUM
cord-186927-b8i85vo7	681	44	states	state	NOUN
cord-186927-b8i85vo7	681	45	variables	variable	NOUN
cord-186927-b8i85vo7	681	46	,	,	PUNCT
cord-186927-b8i85vo7	681	47	namely	namely	ADV
cord-186927-b8i85vo7	681	48	(	(	PUNCT
cord-186927-b8i85vo7	681	49	s	s	PROPN
cord-186927-b8i85vo7	681	50	,	,	PUNCT
cord-186927-b8i85vo7	681	51	e	e	PROPN
cord-186927-b8i85vo7	681	52	,	,	PUNCT
cord-186927-b8i85vo7	681	53	i	i	PROPN
cord-186927-b8i85vo7	681	54	,	,	PUNCT
cord-186927-b8i85vo7	681	55	r	r	PROPN
cord-186927-b8i85vo7	681	56	,	,	PUNCT
cord-186927-b8i85vo7	681	57	y	y	PROPN
cord-186927-b8i85vo7	681	58	)	)	PUNCT
cord-186927-b8i85vo7	681	59	.	.	PUNCT
cord-186927-b8i85vo7	682	1	even	even	ADV
cord-186927-b8i85vo7	682	2	more	more	ADV
cord-186927-b8i85vo7	682	3	generally	generally	ADV
cord-186927-b8i85vo7	682	4	,	,	PUNCT
cord-186927-b8i85vo7	682	5	our	our	PRON
cord-186927-b8i85vo7	682	6	approach	approach	NOUN
cord-186927-b8i85vo7	682	7	can	can	AUX
cord-186927-b8i85vo7	682	8	readily	readily	ADV
cord-186927-b8i85vo7	682	9	be	be	AUX
cord-186927-b8i85vo7	682	10	adapted	adapt	VERB
cord-186927-b8i85vo7	682	11	to	to	ADP
cord-186927-b8i85vo7	682	12	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	682	13	models	model	NOUN
cord-186927-b8i85vo7	682	14	considering	consider	VERB
cord-186927-b8i85vo7	682	15	additional	additional	ADJ
cord-186927-b8i85vo7	682	16	classes	class	NOUN
cord-186927-b8i85vo7	682	17	:	:	PUNCT
cord-186927-b8i85vo7	682	18	for	for	ADP
cord-186927-b8i85vo7	682	19	instance	instance	NOUN
cord-186927-b8i85vo7	682	20	the	the	DET
cord-186927-b8i85vo7	682	21	sidarthe	sidarthe	NOUN
cord-186927-b8i85vo7	682	22	(	(	PUNCT
cord-186927-b8i85vo7	682	23	'	'	PUNCT
cord-186927-b8i85vo7	682	24	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	682	25	'	'	PUNCT
cord-186927-b8i85vo7	682	26	(	(	PUNCT
cord-186927-b8i85vo7	682	27	s	s	X
cord-186927-b8i85vo7	682	28	)	)	PUNCT
cord-186927-b8i85vo7	682	29	,	,	PUNCT
cord-186927-b8i85vo7	682	30	'	'	PUNCT
cord-186927-b8i85vo7	682	31	infected	infect	VERB
cord-186927-b8i85vo7	682	32	'	'	PUNCT
cord-186927-b8i85vo7	682	33	(	(	PUNCT
cord-186927-b8i85vo7	682	34	i	i	NOUN
cord-186927-b8i85vo7	682	35	)	)	PUNCT
cord-186927-b8i85vo7	682	36	,	,	PUNCT
cord-186927-b8i85vo7	682	37	'	'	PUNCT
cord-186927-b8i85vo7	682	38	diagnosed	diagnose	VERB
cord-186927-b8i85vo7	682	39	'	'	PUNCT
cord-186927-b8i85vo7	682	40	(	(	PUNCT
cord-186927-b8i85vo7	682	41	d	d	NOUN
cord-186927-b8i85vo7	682	42	)	)	PUNCT
cord-186927-b8i85vo7	682	43	,	,	PUNCT
cord-186927-b8i85vo7	682	44	'	'	PUNCT
cord-186927-b8i85vo7	682	45	ailing	ail	VERB
cord-186927-b8i85vo7	682	46	'	'	PUNCT
cord-186927-b8i85vo7	682	47	(	(	PUNCT
cord-186927-b8i85vo7	682	48	a	a	X
cord-186927-b8i85vo7	682	49	)	)	PUNCT
cord-186927-b8i85vo7	682	50	,	,	PUNCT
cord-186927-b8i85vo7	682	51	'	'	PUNCT
cord-186927-b8i85vo7	682	52	recognised	recognise	VERB
cord-186927-b8i85vo7	682	53	'	'	PUNCT
cord-186927-b8i85vo7	682	54	(	(	PUNCT
cord-186927-b8i85vo7	682	55	r	r	NOUN
cord-186927-b8i85vo7	682	56	)	)	PUNCT
cord-186927-b8i85vo7	682	57	,	,	PUNCT
cord-186927-b8i85vo7	682	58	'	'	PUNCT
cord-186927-b8i85vo7	682	59	threatened	threaten	VERB
cord-186927-b8i85vo7	682	60	'	'	PUNCT
cord-186927-b8i85vo7	682	61	(	(	PUNCT
cord-186927-b8i85vo7	682	62	t	t	NOUN
cord-186927-b8i85vo7	682	63	)	)	PUNCT
cord-186927-b8i85vo7	682	64	,	,	PUNCT
cord-186927-b8i85vo7	682	65	'	'	PUNCT
cord-186927-b8i85vo7	682	66	healed	heal	VERB
cord-186927-b8i85vo7	682	67	'	'	PUNCT
cord-186927-b8i85vo7	682	68	(	(	PUNCT
cord-186927-b8i85vo7	682	69	h	h	NOUN
cord-186927-b8i85vo7	682	70	)	)	PUNCT
cord-186927-b8i85vo7	682	71	and	and	CCONJ
cord-186927-b8i85vo7	682	72	'	'	PUNCT
cord-186927-b8i85vo7	682	73	extinct	extinct	ADJ
cord-186927-b8i85vo7	682	74	'	'	PUNCT
cord-186927-b8i85vo7	682	75	(	(	PUNCT
cord-186927-b8i85vo7	682	76	e	e	NOUN
cord-186927-b8i85vo7	682	77	)	)	PUNCT
cord-186927-b8i85vo7	682	78	)	)	PUNCT
cord-186927-b8i85vo7	682	79	model	model	NOUN
cord-186927-b8i85vo7	682	80	investigated	investigate	VERB
cord-186927-b8i85vo7	682	81	in	in	ADP
cord-186927-b8i85vo7	682	82	giordano	giordano	PROPN
cord-186927-b8i85vo7	682	83	,	,	PUNCT
cord-186927-b8i85vo7	682	84	blanchini	blanchini	PROPN
cord-186927-b8i85vo7	682	85	,	,	PUNCT
cord-186927-b8i85vo7	682	86	bruno	bruno	PROPN
cord-186927-b8i85vo7	682	87	,	,	PUNCT
cord-186927-b8i85vo7	682	88	colaneri	colaneri	PROPN
cord-186927-b8i85vo7	682	89	,	,	PUNCT
cord-186927-b8i85vo7	682	90	di	di	PROPN
cord-186927-b8i85vo7	682	91	filippo	filippo	PROPN
cord-186927-b8i85vo7	682	92	,	,	PUNCT
cord-186927-b8i85vo7	682	93	di	di	PROPN
cord-186927-b8i85vo7	682	94	matteo	matteo	PROPN
cord-186927-b8i85vo7	682	95	,	,	PUNCT
cord-186927-b8i85vo7	682	96	and	and	CCONJ
cord-186927-b8i85vo7	682	97	colaneri	colaneri	PROPN
cord-186927-b8i85vo7	683	1	[	[	PUNCT
cord-186927-b8i85vo7	683	2	44	44	NUM
cord-186927-b8i85vo7	683	3	]	]	PUNCT
cord-186927-b8i85vo7	683	4	for	for	ADP
cord-186927-b8i85vo7	683	5	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	683	6	.	.	PUNCT
cord-186927-b8i85vo7	684	1	of	of	ADV
cord-186927-b8i85vo7	684	2	course	course	NOUN
cord-186927-b8i85vo7	684	3	the	the	DET
cord-186927-b8i85vo7	684	4	price	price	NOUN
cord-186927-b8i85vo7	684	5	to	to	PART
cord-186927-b8i85vo7	684	6	pay	pay	VERB
cord-186927-b8i85vo7	684	7	is	be	AUX
cord-186927-b8i85vo7	684	8	that	that	SCONJ
cord-186927-b8i85vo7	684	9	the	the	DET
cord-186927-b8i85vo7	684	10	number	number	NOUN
cord-186927-b8i85vo7	684	11	of	of	ADP
cord-186927-b8i85vo7	684	12	state	state	NOUN
cord-186927-b8i85vo7	684	13	variables	variable	NOUN
cord-186927-b8i85vo7	684	14	in	in	ADP
cord-186927-b8i85vo7	684	15	the	the	DET
cord-186927-b8i85vo7	684	16	government	government	NOUN
cord-186927-b8i85vo7	684	17	's	's	PART
cord-186927-b8i85vo7	684	18	problem	problem	NOUN
cord-186927-b8i85vo7	684	19	will	will	AUX
cord-186927-b8i85vo7	684	20	increase	increase	VERB
cord-186927-b8i85vo7	684	21	with	with	ADP
cord-186927-b8i85vo7	684	22	the	the	DET
cord-186927-b8i85vo7	684	23	number	number	NOUN
cord-186927-b8i85vo7	684	24	of	of	ADP
cord-186927-b8i85vo7	684	25	compartments	compartment	NOUN
cord-186927-b8i85vo7	684	26	,	,	PUNCT
cord-186927-b8i85vo7	684	27	and	and	CCONJ
cord-186927-b8i85vo7	684	28	numerical	numerical	ADJ
cord-186927-b8i85vo7	684	29	procedures	procedure	NOUN
cord-186927-b8i85vo7	684	30	to	to	PART
cord-186927-b8i85vo7	684	31	solve	solve	VERB
cord-186927-b8i85vo7	684	32	the	the	DET
cord-186927-b8i85vo7	684	33	hjb	hjb	PROPN
cord-186927-b8i85vo7	684	34	equation	equation	NOUN
cord-186927-b8i85vo7	684	35	will	will	AUX
cord-186927-b8i85vo7	684	36	become	become	VERB
cord-186927-b8i85vo7	684	37	more	more	ADV
cord-186927-b8i85vo7	684	38	delicate	delicate	ADJ
cord-186927-b8i85vo7	684	39	to	to	PART
cord-186927-b8i85vo7	684	40	implement	implement	VERB
cord-186927-b8i85vo7	684	41	,	,	PUNCT
cord-186927-b8i85vo7	684	42	and	and	CCONJ
cord-186927-b8i85vo7	684	43	could	could	AUX
cord-186927-b8i85vo7	684	44	be	be	AUX
cord-186927-b8i85vo7	684	45	based	base	VERB
cord-186927-b8i85vo7	684	46	on	on	ADP
cord-186927-b8i85vo7	684	47	neural	neural	ADJ
cord-186927-b8i85vo7	684	48	networks	network	NOUN
cord-186927-b8i85vo7	684	49	.	.	PUNCT
cord-186927-b8i85vo7	685	1	similar	similar	ADJ
cord-186927-b8i85vo7	685	2	to	to	ADP
cord-186927-b8i85vo7	685	3	section	section	NOUN
cord-186927-b8i85vo7	685	4	3	3	NUM
cord-186927-b8i85vo7	685	5	,	,	PUNCT
cord-186927-b8i85vo7	685	6	we	we	PRON
cord-186927-b8i85vo7	685	7	present	present	VERB
cord-186927-b8i85vo7	685	8	in	in	ADP
cord-186927-b8i85vo7	685	9	this	this	DET
cord-186927-b8i85vo7	685	10	appendix	appendix	NOUN
cord-186927-b8i85vo7	685	11	the	the	DET
cord-186927-b8i85vo7	685	12	numerical	numerical	ADJ
cord-186927-b8i85vo7	685	13	results	result	NOUN
cord-186927-b8i85vo7	685	14	obtained	obtain	VERB
cord-186927-b8i85vo7	685	15	when	when	SCONJ
cord-186927-b8i85vo7	685	16	considering	consider	VERB
cord-186927-b8i85vo7	685	17	a	a	DET
cord-186927-b8i85vo7	685	18	sis	sis	NOUN
cord-186927-b8i85vo7	685	19	compartmental	compartmental	NOUN
cord-186927-b8i85vo7	685	20	model	model	NOUN
cord-186927-b8i85vo7	685	21	,	,	PUNCT
cord-186927-b8i85vo7	685	22	whose	whose	DET
cord-186927-b8i85vo7	685	23	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	685	24	is	be	AUX
cord-186927-b8i85vo7	685	25	given	give	VERB
cord-186927-b8i85vo7	685	26	by	by	ADP
cord-186927-b8i85vo7	685	27	(	(	PUNCT
cord-186927-b8i85vo7	685	28	2.3	2.3	NUM
cord-186927-b8i85vo7	685	29	)	)	PUNCT
cord-186927-b8i85vo7	685	30	,	,	PUNCT
cord-186927-b8i85vo7	685	31	or	or	CCONJ
cord-186927-b8i85vo7	685	32	equivalently	equivalently	ADV
cord-186927-b8i85vo7	685	33	by	by	ADP
cord-186927-b8i85vo7	685	34	(	(	PUNCT
cord-186927-b8i85vo7	685	35	2.5	2.5	NUM
cord-186927-b8i85vo7	685	36	)	)	PUNCT
cord-186927-b8i85vo7	685	37	with	with	ADP
cord-186927-b8i85vo7	685	38	ρ	ρ	PROPN
cord-186927-b8i85vo7	685	39	=	=	NOUN
cord-186927-b8i85vo7	685	40	0	0	NUM
cord-186927-b8i85vo7	685	41	.	.	PUNCT
cord-186927-b8i85vo7	686	1	we	we	PRON
cord-186927-b8i85vo7	686	2	take	take	VERB
cord-186927-b8i85vo7	686	3	the	the	DET
cord-186927-b8i85vo7	686	4	same	same	ADJ
cord-186927-b8i85vo7	686	5	parameters	parameter	NOUN
cord-186927-b8i85vo7	686	6	as	as	ADP
cord-186927-b8i85vo7	686	7	for	for	ADP
cord-186927-b8i85vo7	686	8	the	the	DET
cord-186927-b8i85vo7	686	9	sir	sir	PROPN
cord-186927-b8i85vo7	686	10	case	case	NOUN
cord-186927-b8i85vo7	686	11	to	to	PART
cord-186927-b8i85vo7	686	12	model	model	VERB
cord-186927-b8i85vo7	686	13	the	the	DET
cord-186927-b8i85vo7	686	14	preferences	preference	NOUN
cord-186927-b8i85vo7	686	15	of	of	ADP
cord-186927-b8i85vo7	686	16	the	the	DET
cord-186927-b8i85vo7	686	17	government	government	NOUN
cord-186927-b8i85vo7	686	18	and	and	CCONJ
cord-186927-b8i85vo7	686	19	the	the	DET
cord-186927-b8i85vo7	686	20	population	population	NOUN
cord-186927-b8i85vo7	686	21	,	,	PUNCT
cord-186927-b8i85vo7	686	22	i.e.	i.e.	X
cord-186927-b8i85vo7	686	23	the	the	DET
cord-186927-b8i85vo7	686	24	parameters	parameter	NOUN
cord-186927-b8i85vo7	686	25	given	give	VERB
cord-186927-b8i85vo7	686	26	in	in	ADP
cord-186927-b8i85vo7	686	27	table	table	NOUN
cord-186927-b8i85vo7	686	28	1	1	NUM
cord-186927-b8i85vo7	686	29	,	,	PUNCT
cord-186927-b8i85vo7	686	30	except	except	SCONJ
cord-186927-b8i85vo7	686	31	for	for	ADP
cord-186927-b8i85vo7	686	32	β	β	PROPN
cord-186927-b8i85vo7	686	33	max	max	PROPN
cord-186927-b8i85vo7	686	34	=	=	NOUN
cord-186927-b8i85vo7	686	35	0.5	0.5	NUM
cord-186927-b8i85vo7	686	36	.	.	PUNCT
cord-186927-b8i85vo7	686	37	to	to	PART
cord-186927-b8i85vo7	686	38	model	model	VERB
cord-186927-b8i85vo7	686	39	the	the	DET
cord-186927-b8i85vo7	686	40	sis	sis	NOUN
cord-186927-b8i85vo7	686	41	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	686	42	,	,	PUNCT
cord-186927-b8i85vo7	686	43	we	we	PRON
cord-186927-b8i85vo7	686	44	consider	consider	VERB
cord-186927-b8i85vo7	686	45	a	a	DET
cord-186927-b8i85vo7	686	46	different	different	ADJ
cord-186927-b8i85vo7	686	47	set	set	NOUN
cord-186927-b8i85vo7	686	48	of	of	ADP
cord-186927-b8i85vo7	686	49	parameters	parameter	NOUN
cord-186927-b8i85vo7	686	50	(	(	PUNCT
cord-186927-b8i85vo7	686	51	see	see	VERB
cord-186927-b8i85vo7	686	52	table	table	NOUN
cord-186927-b8i85vo7	686	53	3	3	NUM
cord-186927-b8i85vo7	686	54	)	)	PUNCT
cord-186927-b8i85vo7	686	55	,	,	PUNCT
cord-186927-b8i85vo7	686	56	in	in	ADP
cord-186927-b8i85vo7	686	57	order	order	NOUN
cord-186927-b8i85vo7	686	58	to	to	PART
cord-186927-b8i85vo7	686	59	obtain	obtain	VERB
cord-186927-b8i85vo7	686	60	the	the	DET
cord-186927-b8i85vo7	686	61	same	same	ADJ
cord-186927-b8i85vo7	686	62	shape	shape	NOUN
cord-186927-b8i85vo7	686	63	for	for	ADP
cord-186927-b8i85vo7	686	64	the	the	DET
cord-186927-b8i85vo7	686	65	proportion	proportion	NOUN
cord-186927-b8i85vo7	686	66	of	of	ADP
cord-186927-b8i85vo7	686	67	infected	infect	VERB
cord-186927-b8i85vo7	686	68	at	at	ADP
cord-186927-b8i85vo7	686	69	the	the	DET
cord-186927-b8i85vo7	686	70	beginning	beginning	NOUN
cord-186927-b8i85vo7	686	71	of	of	ADP
cord-186927-b8i85vo7	686	72	the	the	DET
cord-186927-b8i85vo7	686	73	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	686	74	in	in	ADP
cord-186927-b8i85vo7	686	75	both	both	DET
cord-186927-b8i85vo7	686	76	cases	case	NOUN
cord-186927-b8i85vo7	686	77	of	of	ADP
cord-186927-b8i85vo7	686	78	an	an	DET
cord-186927-b8i85vo7	686	79	sir	sir	NOUN
cord-186927-b8i85vo7	686	80	and	and	CCONJ
cord-186927-b8i85vo7	686	81	sis	sis	NOUN
cord-186927-b8i85vo7	686	82	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	686	83	.	.	PUNCT
cord-186927-b8i85vo7	687	1	this	this	DET
cord-186927-b8i85vo7	687	2	choice	choice	NOUN
cord-186927-b8i85vo7	687	3	is	be	AUX
cord-186927-b8i85vo7	687	4	made	make	VERB
cord-186927-b8i85vo7	687	5	to	to	PART
cord-186927-b8i85vo7	687	6	model	model	VERB
cord-186927-b8i85vo7	687	7	the	the	DET
cord-186927-b8i85vo7	687	8	fact	fact	NOUN
cord-186927-b8i85vo7	687	9	that	that	SCONJ
cord-186927-b8i85vo7	687	10	,	,	PUNCT
cord-186927-b8i85vo7	687	11	at	at	ADP
cord-186927-b8i85vo7	687	12	the	the	DET
cord-186927-b8i85vo7	687	13	beginning	beginning	NOUN
cord-186927-b8i85vo7	687	14	of	of	ADP
cord-186927-b8i85vo7	687	15	a	a	DET
cord-186927-b8i85vo7	687	16	relatively	relatively	ADV
cord-186927-b8i85vo7	687	17	unknown	unknown	ADJ
cord-186927-b8i85vo7	687	18	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	687	19	such	such	ADJ
cord-186927-b8i85vo7	687	20	as	as	ADP
cord-186927-b8i85vo7	687	21	that	that	PRON
cord-186927-b8i85vo7	687	22	of	of	ADP
cord-186927-b8i85vo7	687	23	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	687	24	,	,	PUNCT
cord-186927-b8i85vo7	687	25	the	the	DET
cord-186927-b8i85vo7	687	26	proportion	proportion	NOUN
cord-186927-b8i85vo7	687	27	of	of	ADP
cord-186927-b8i85vo7	687	28	infected	infected	ADJ
cord-186927-b8i85vo7	687	29	people	people	NOUN
cord-186927-b8i85vo7	687	30	is	be	AUX
cord-186927-b8i85vo7	687	31	observed	observe	VERB
cord-186927-b8i85vo7	687	32	(	(	PUNCT
cord-186927-b8i85vo7	687	33	with	with	ADP
cord-186927-b8i85vo7	687	34	noise	noise	NOUN
cord-186927-b8i85vo7	687	35	)	)	PUNCT
cord-186927-b8i85vo7	687	36	,	,	PUNCT
cord-186927-b8i85vo7	687	37	but	but	CCONJ
cord-186927-b8i85vo7	687	38	the	the	DET
cord-186927-b8i85vo7	687	39	authorities	authority	NOUN
cord-186927-b8i85vo7	687	40	do	do	AUX
cord-186927-b8i85vo7	687	41	not	not	PART
cord-186927-b8i85vo7	687	42	necessarily	necessarily	ADV
cord-186927-b8i85vo7	687	43	know	know	VERB
cord-186927-b8i85vo7	687	44	whether	whether	SCONJ
cord-186927-b8i85vo7	687	45	this	this	DET
cord-186927-b8i85vo7	687	46	disease	disease	NOUN
cord-186927-b8i85vo7	687	47	allows	allow	VERB
cord-186927-b8i85vo7	687	48	immunity	immunity	NOUN
cord-186927-b8i85vo7	687	49	to	to	PART
cord-186927-b8i85vo7	687	50	be	be	AUX
cord-186927-b8i85vo7	687	51	acquired	acquire	VERB
cord-186927-b8i85vo7	687	52	.	.	PUNCT
cord-186927-b8i85vo7	688	1	table	table	NOUN
cord-186927-b8i85vo7	688	2	3	3	NUM
cord-186927-b8i85vo7	688	3	:	:	PUNCT
cord-186927-b8i85vo7	688	4	set	set	NOUN
cord-186927-b8i85vo7	688	5	of	of	ADP
cord-186927-b8i85vo7	688	6	parameters	parameter	NOUN
cord-186927-b8i85vo7	688	7	for	for	ADP
cord-186927-b8i85vo7	688	8	the	the	DET
cord-186927-b8i85vo7	688	9	simulation	simulation	NOUN
cord-186927-b8i85vo7	688	10	of	of	ADP
cord-186927-b8i85vo7	688	11	sis	sis	NOUN
cord-186927-b8i85vo7	688	12	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	688	13	to	to	PART
cord-186927-b8i85vo7	688	14	solve	solve	VERB
cord-186927-b8i85vo7	688	15	the	the	DET
cord-186927-b8i85vo7	688	16	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	688	17	case	case	NOUN
cord-186927-b8i85vo7	688	18	,	,	PUNCT
cord-186927-b8i85vo7	688	19	we	we	PRON
cord-186927-b8i85vo7	688	20	follow	follow	VERB
cord-186927-b8i85vo7	688	21	the	the	DET
cord-186927-b8i85vo7	688	22	method	method	NOUN
cord-186927-b8i85vo7	688	23	described	describe	VERB
cord-186927-b8i85vo7	688	24	in	in	ADP
cord-186927-b8i85vo7	688	25	section	section	NOUN
cord-186927-b8i85vo7	688	26	3.3	3.3	NUM
cord-186927-b8i85vo7	688	27	,	,	PUNCT
cord-186927-b8i85vo7	688	28	although	although	SCONJ
cord-186927-b8i85vo7	688	29	we	we	PRON
cord-186927-b8i85vo7	688	30	choose	choose	VERB
cord-186927-b8i85vo7	688	31	here	here	ADV
cord-186927-b8i85vo7	688	32	a	a	DET
cord-186927-b8i85vo7	688	33	number	number	NOUN
cord-186927-b8i85vo7	688	34	of	of	ADP
cord-186927-b8i85vo7	688	35	time	time	NOUN
cord-186927-b8i85vo7	688	36	steps	step	NOUN
cord-186927-b8i85vo7	688	37	equal	equal	ADJ
cord-186927-b8i85vo7	688	38	to	to	ADP
cord-186927-b8i85vo7	688	39	600	600	NUM
cord-186927-b8i85vo7	688	40	,	,	PUNCT
cord-186927-b8i85vo7	688	41	a	a	DET
cord-186927-b8i85vo7	688	42	time	time	NOUN
cord-186927-b8i85vo7	688	43	step	step	NOUN
cord-186927-b8i85vo7	688	44	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	688	45	equal	equal	ADJ
cord-186927-b8i85vo7	688	46	to	to	ADP
cord-186927-b8i85vo7	688	47	0.0025	0.0025	NUM
cord-186927-b8i85vo7	688	48	,	,	PUNCT
cord-186927-b8i85vo7	688	49	a	a	DET
cord-186927-b8i85vo7	688	50	linear	linear	ADJ
cord-186927-b8i85vo7	688	51	interpolator	interpolator	NOUN
cord-186927-b8i85vo7	688	52	,	,	PUNCT
cord-186927-b8i85vo7	688	53	and	and	CCONJ
cord-186927-b8i85vo7	688	54	the	the	DET
cord-186927-b8i85vo7	688	55	optimal	optimal	ADJ
cord-186927-b8i85vo7	688	56	command	command	NOUN
cord-186927-b8i85vo7	688	57	β	β	PROPN
cord-186927-b8i85vo7	688	58	used	use	VERB
cord-186927-b8i85vo7	688	59	to	to	PART
cord-186927-b8i85vo7	688	60	maximise	maximise	VERB
cord-186927-b8i85vo7	688	61	the	the	DET
cord-186927-b8i85vo7	688	62	hamiltonian	hamiltonian	NOUN
cord-186927-b8i85vo7	688	63	is	be	AUX
cord-186927-b8i85vo7	688	64	discretised	discretise	VERB
cord-186927-b8i85vo7	688	65	with	with	ADP
cord-186927-b8i85vo7	688	66	200	200	NUM
cord-186927-b8i85vo7	688	67	points	point	NOUN
cord-186927-b8i85vo7	688	68	given	give	VERB
cord-186927-b8i85vo7	688	69	a	a	DET
cord-186927-b8i85vo7	688	70	step	step	NOUN
cord-186927-b8i85vo7	688	71	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	688	72	of	of	ADP
cord-186927-b8i85vo7	688	73	0.005	0.005	NUM
cord-186927-b8i85vo7	688	74	.	.	PUNCT
cord-186927-b8i85vo7	689	1	once	once	SCONJ
cord-186927-b8i85vo7	689	2	the	the	DET
cord-186927-b8i85vo7	689	3	pde	pde	NOUN
cord-186927-b8i85vo7	689	4	is	be	AUX
cord-186927-b8i85vo7	689	5	solved	solve	VERB
cord-186927-b8i85vo7	689	6	,	,	PUNCT
cord-186927-b8i85vo7	689	7	a	a	DET
cord-186927-b8i85vo7	689	8	simulator	simulator	NOUN
cord-186927-b8i85vo7	689	9	is	be	AUX
cord-186927-b8i85vo7	689	10	used	use	VERB
cord-186927-b8i85vo7	689	11	in	in	ADP
cord-186927-b8i85vo7	689	12	forward	forward	ADV
cord-186927-b8i85vo7	689	13	using	use	VERB
cord-186927-b8i85vo7	689	14	the	the	DET
cord-186927-b8i85vo7	689	15	optimal	optimal	ADJ
cord-186927-b8i85vo7	689	16	command	command	NOUN
cord-186927-b8i85vo7	689	17	and	and	CCONJ
cord-186927-b8i85vo7	689	18	giving	give	VERB
cord-186927-b8i85vo7	689	19	the	the	DET
cord-186927-b8i85vo7	689	20	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	689	21	of	of	ADP
cord-186927-b8i85vo7	689	22	the	the	DET
cord-186927-b8i85vo7	689	23	proportion	proportion	NOUN
cord-186927-b8i85vo7	689	24	(	(	PUNCT
cord-186927-b8i85vo7	689	25	s	s	PROPN
cord-186927-b8i85vo7	689	26	,	,	PUNCT
cord-186927-b8i85vo7	689	27	i	i	NOUN
cord-186927-b8i85vo7	689	28	)	)	PUNCT
cord-186927-b8i85vo7	689	29	.	.	PUNCT
cord-186927-b8i85vo7	690	1	as	as	ADP
cord-186927-b8i85vo7	690	2	for	for	ADP
cord-186927-b8i85vo7	690	3	the	the	DET
cord-186927-b8i85vo7	690	4	numerical	numerical	ADJ
cord-186927-b8i85vo7	690	5	resolution	resolution	NOUN
cord-186927-b8i85vo7	690	6	of	of	ADP
cord-186927-b8i85vo7	690	7	the	the	DET
cord-186927-b8i85vo7	690	8	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	690	9	case	case	NOUN
cord-186927-b8i85vo7	690	10	for	for	ADP
cord-186927-b8i85vo7	690	11	the	the	DET
cord-186927-b8i85vo7	690	12	sir	sir	PROPN
cord-186927-b8i85vo7	690	13	model	model	NOUN
cord-186927-b8i85vo7	690	14	,	,	PUNCT
cord-186927-b8i85vo7	690	15	we	we	PRON
cord-186927-b8i85vo7	690	16	implement	implement	VERB
cord-186927-b8i85vo7	690	17	two	two	NUM
cord-186927-b8i85vo7	690	18	versions	version	NOUN
cord-186927-b8i85vo7	690	19	of	of	ADP
cord-186927-b8i85vo7	690	20	the	the	DET
cord-186927-b8i85vo7	690	21	resolution	resolution	NOUN
cord-186927-b8i85vo7	690	22	,	,	PUNCT
cord-186927-b8i85vo7	690	23	with	with	ADP
cord-186927-b8i85vo7	690	24	variables	variable	NOUN
cord-186927-b8i85vo7	690	25	(	(	PUNCT
cord-186927-b8i85vo7	690	26	s	s	PROPN
cord-186927-b8i85vo7	690	27	,	,	PUNCT
cord-186927-b8i85vo7	690	28	i	i	NOUN
cord-186927-b8i85vo7	690	29	)	)	PUNCT
cord-186927-b8i85vo7	690	30	or	or	CCONJ
cord-186927-b8i85vo7	690	31	(	(	PUNCT
cord-186927-b8i85vo7	690	32	s	s	PROPN
cord-186927-b8i85vo7	690	33	,	,	PUNCT
cord-186927-b8i85vo7	690	34	s	s	PROPN
cord-186927-b8i85vo7	690	35	+	+	X
cord-186927-b8i85vo7	690	36	i	i	NOUN
cord-186927-b8i85vo7	690	37	)	)	PUNCT
cord-186927-b8i85vo7	690	38	.	.	PUNCT
cord-186927-b8i85vo7	691	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	691	2	effort	effort	NOUN
cord-186927-b8i85vo7	691	3	%	%	NOUN
cord-186927-b8i85vo7	691	4	of	of	ADP
cord-186927-b8i85vo7	691	5	infected	infected	ADJ
cord-186927-b8i85vo7	691	6	simulation	simulation	NOUN
cord-186927-b8i85vo7	691	7	1	1	NUM
cord-186927-b8i85vo7	691	8	simulation	simulation	NOUN
cord-186927-b8i85vo7	691	9	2	2	NUM
cord-186927-b8i85vo7	691	10	figure	figure	NOUN
cord-186927-b8i85vo7	691	11	19	19	NUM
cord-186927-b8i85vo7	691	12	:	:	PUNCT
cord-186927-b8i85vo7	691	13	two	two	NUM
cord-186927-b8i85vo7	691	14	simulations	simulation	NOUN
cord-186927-b8i85vo7	691	15	of	of	ADP
cord-186927-b8i85vo7	691	16	the	the	DET
cord-186927-b8i85vo7	691	17	sis	sis	NOUN
cord-186927-b8i85vo7	691	18	in	in	ADP
cord-186927-b8i85vo7	691	19	the	the	DET
cord-186927-b8i85vo7	691	20	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	691	21	case	case	NOUN
cord-186927-b8i85vo7	691	22	comparison	comparison	NOUN
cord-186927-b8i85vo7	691	23	between	between	ADP
cord-186927-b8i85vo7	691	24	the	the	DET
cord-186927-b8i85vo7	691	25	two	two	NUM
cord-186927-b8i85vo7	691	26	methods	method	NOUN
cord-186927-b8i85vo7	691	27	.	.	PUNCT
cord-186927-b8i85vo7	692	1	as	as	SCONJ
cord-186927-b8i85vo7	692	2	the	the	DET
cord-186927-b8i85vo7	692	3	numerical	numerical	ADJ
cord-186927-b8i85vo7	692	4	results	result	NOUN
cord-186927-b8i85vo7	692	5	obtained	obtain	VERB
cord-186927-b8i85vo7	692	6	in	in	ADP
cord-186927-b8i85vo7	692	7	the	the	DET
cord-186927-b8i85vo7	692	8	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	692	9	case	case	NOUN
cord-186927-b8i85vo7	692	10	when	when	SCONJ
cord-186927-b8i85vo7	692	11	the	the	DET
cord-186927-b8i85vo7	692	12	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	692	13	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	692	14	is	be	AUX
cord-186927-b8i85vo7	692	15	given	give	VERB
cord-186927-b8i85vo7	692	16	by	by	ADP
cord-186927-b8i85vo7	692	17	a	a	DET
cord-186927-b8i85vo7	692	18	sis	sis	NOUN
cord-186927-b8i85vo7	692	19	model	model	NOUN
cord-186927-b8i85vo7	692	20	have	have	VERB
cord-186927-b8i85vo7	692	21	the	the	DET
cord-186927-b8i85vo7	692	22	same	same	ADJ
cord-186927-b8i85vo7	692	23	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	692	24	as	as	ADP
cord-186927-b8i85vo7	692	25	with	with	ADP
cord-186927-b8i85vo7	692	26	the	the	DET
cord-186927-b8i85vo7	692	27	sir	sir	PROPN
cord-186927-b8i85vo7	692	28	dynamic	dynamic	NOUN
cord-186927-b8i85vo7	692	29	,	,	PUNCT
cord-186927-b8i85vo7	692	30	we	we	PRON
cord-186927-b8i85vo7	692	31	describe	describe	VERB
cord-186927-b8i85vo7	692	32	the	the	DET
cord-186927-b8i85vo7	692	33	graphs	graph	NOUN
cord-186927-b8i85vo7	692	34	only	only	ADV
cord-186927-b8i85vo7	692	35	briefly	briefly	ADV
cord-186927-b8i85vo7	692	36	below	below	ADV
cord-186927-b8i85vo7	692	37	.	.	PUNCT
cord-186927-b8i85vo7	693	1	figure	figure	VERB
cord-186927-b8i85vo7	693	2	19	19	NUM
cord-186927-b8i85vo7	693	3	.	.	PUNCT
cord-186927-b8i85vo7	694	1	as	as	ADP
cord-186927-b8i85vo7	694	2	in	in	ADP
cord-186927-b8i85vo7	694	3	the	the	DET
cord-186927-b8i85vo7	694	4	sir	sir	PROPN
cord-186927-b8i85vo7	694	5	case	case	NOUN
cord-186927-b8i85vo7	694	6	,	,	PUNCT
cord-186927-b8i85vo7	694	7	the	the	DET
cord-186927-b8i85vo7	694	8	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	694	9	of	of	ADP
cord-186927-b8i85vo7	694	10	β	β	NOUN
cord-186927-b8i85vo7	694	11	obtained	obtain	VERB
cord-186927-b8i85vo7	694	12	through	through	ADP
cord-186927-b8i85vo7	694	13	the	the	DET
cord-186927-b8i85vo7	694	14	two	two	NUM
cord-186927-b8i85vo7	694	15	aforementioned	aforementioned	ADJ
cord-186927-b8i85vo7	694	16	resolutions	resolution	NOUN
cord-186927-b8i85vo7	694	17	are	be	AUX
cord-186927-b8i85vo7	694	18	rather	rather	ADV
cord-186927-b8i85vo7	694	19	close	close	ADJ
cord-186927-b8i85vo7	694	20	,	,	PUNCT
cord-186927-b8i85vo7	694	21	and	and	CCONJ
cord-186927-b8i85vo7	694	22	the	the	DET
cord-186927-b8i85vo7	694	23	corresponding	correspond	VERB
cord-186927-b8i85vo7	694	24	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	694	25	for	for	ADP
cord-186927-b8i85vo7	694	26	i	i	PRON
cord-186927-b8i85vo7	694	27	coincide	coincide	NOUN
cord-186927-b8i85vo7	694	28	.	.	PUNCT
cord-186927-b8i85vo7	695	1	we	we	PRON
cord-186927-b8i85vo7	695	2	plot	plot	VERB
cord-186927-b8i85vo7	695	3	100	100	NUM
cord-186927-b8i85vo7	695	4	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	695	5	of	of	ADP
cord-186927-b8i85vo7	695	6	the	the	DET
cord-186927-b8i85vo7	695	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	695	8	interaction	interaction	NOUN
cord-186927-b8i85vo7	695	9	rate	rate	NOUN
cord-186927-b8i85vo7	695	10	β	β	NOUN
cord-186927-b8i85vo7	695	11	,	,	PUNCT
cord-186927-b8i85vo7	695	12	the	the	DET
cord-186927-b8i85vo7	695	13	proportion	proportion	NOUN
cord-186927-b8i85vo7	695	14	of	of	ADP
cord-186927-b8i85vo7	695	15	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	695	16	s	s	NOUN
cord-186927-b8i85vo7	695	17	,	,	PUNCT
cord-186927-b8i85vo7	695	18	as	as	ADV
cord-186927-b8i85vo7	695	19	well	well	ADV
cord-186927-b8i85vo7	695	20	as	as	ADP
cord-186927-b8i85vo7	695	21	the	the	DET
cord-186927-b8i85vo7	695	22	proportion	proportion	NOUN
cord-186927-b8i85vo7	695	23	of	of	ADP
cord-186927-b8i85vo7	695	24	infected	infected	ADJ
cord-186927-b8i85vo7	695	25	i.	i.	PROPN
cord-186927-b8i85vo7	695	26	the	the	DET
cord-186927-b8i85vo7	695	27	population	population	NOUN
cord-186927-b8i85vo7	695	28	's	's	PART
cord-186927-b8i85vo7	695	29	behaviour	behaviour	NOUN
cord-186927-b8i85vo7	695	30	is	be	AUX
cord-186927-b8i85vo7	695	31	similar	similar	ADJ
cord-186927-b8i85vo7	695	32	to	to	ADP
cord-186927-b8i85vo7	695	33	the	the	DET
cord-186927-b8i85vo7	695	34	one	one	NOUN
cord-186927-b8i85vo7	695	35	obtained	obtain	VERB
cord-186927-b8i85vo7	695	36	in	in	ADP
cord-186927-b8i85vo7	695	37	the	the	DET
cord-186927-b8i85vo7	695	38	sir	sir	PROPN
cord-186927-b8i85vo7	695	39	model	model	NOUN
cord-186927-b8i85vo7	695	40	:	:	PUNCT
cord-186927-b8i85vo7	695	41	first	first	ADV
cord-186927-b8i85vo7	695	42	the	the	DET
cord-186927-b8i85vo7	695	43	population	population	NOUN
cord-186927-b8i85vo7	695	44	behaves	behave	VERB
cord-186927-b8i85vo7	695	45	as	as	ADP
cord-186927-b8i85vo7	695	46	usual	usual	ADJ
cord-186927-b8i85vo7	695	47	,	,	PUNCT
cord-186927-b8i85vo7	695	48	then	then	ADV
cord-186927-b8i85vo7	695	49	begins	begin	VERB
cord-186927-b8i85vo7	695	50	to	to	PART
cord-186927-b8i85vo7	695	51	reduce	reduce	VERB
cord-186927-b8i85vo7	695	52	β	β	PROPN
cord-186927-b8i85vo7	695	53	,	,	PUNCT
cord-186927-b8i85vo7	695	54	which	which	PRON
cord-186927-b8i85vo7	695	55	finally	finally	ADV
cord-186927-b8i85vo7	695	56	goes	go	VERB
cord-186927-b8i85vo7	695	57	back	back	ADV
cord-186927-b8i85vo7	695	58	to	to	ADP
cord-186927-b8i85vo7	695	59	its	its	PRON
cord-186927-b8i85vo7	695	60	usual	usual	ADJ
cord-186927-b8i85vo7	695	61	values	value	NOUN
cord-186927-b8i85vo7	695	62	as	as	SCONJ
cord-186927-b8i85vo7	695	63	the	the	DET
cord-186927-b8i85vo7	695	64	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	695	65	disappears	disappear	VERB
cord-186927-b8i85vo7	695	66	.	.	PUNCT
cord-186927-b8i85vo7	696	1	once	once	ADV
cord-186927-b8i85vo7	696	2	again	again	ADV
cord-186927-b8i85vo7	696	3	that	that	SCONJ
cord-186927-b8i85vo7	696	4	the	the	DET
cord-186927-b8i85vo7	696	5	population	population	NOUN
cord-186927-b8i85vo7	696	6	's	's	PART
cord-186927-b8i85vo7	696	7	fear	fear	NOUN
cord-186927-b8i85vo7	696	8	of	of	ADP
cord-186927-b8i85vo7	696	9	infection	infection	NOUN
cord-186927-b8i85vo7	696	10	is	be	AUX
cord-186927-b8i85vo7	696	11	not	not	PART
cord-186927-b8i85vo7	696	12	sufficient	sufficient	ADJ
cord-186927-b8i85vo7	696	13	to	to	PART
cord-186927-b8i85vo7	696	14	prevent	prevent	VERB
cord-186927-b8i85vo7	696	15	the	the	DET
cord-186927-b8i85vo7	696	16	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	696	17	.	.	PUNCT
cord-186927-b8i85vo7	697	1	as	as	ADP
cord-186927-b8i85vo7	697	2	for	for	ADP
cord-186927-b8i85vo7	697	3	the	the	DET
cord-186927-b8i85vo7	697	4	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	697	5	case	case	NOUN
cord-186927-b8i85vo7	697	6	,	,	PUNCT
cord-186927-b8i85vo7	697	7	the	the	DET
cord-186927-b8i85vo7	697	8	numerical	numerical	ADJ
cord-186927-b8i85vo7	697	9	method	method	NOUN
cord-186927-b8i85vo7	697	10	to	to	PART
cord-186927-b8i85vo7	697	11	obtain	obtain	VERB
cord-186927-b8i85vo7	697	12	the	the	DET
cord-186927-b8i85vo7	697	13	optimal	optimal	ADJ
cord-186927-b8i85vo7	697	14	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	697	15	policy	policy	NOUN
cord-186927-b8i85vo7	697	16	is	be	AUX
cord-186927-b8i85vo7	697	17	similar	similar	ADJ
cord-186927-b8i85vo7	697	18	to	to	ADP
cord-186927-b8i85vo7	697	19	the	the	DET
cord-186927-b8i85vo7	697	20	one	one	NOUN
cord-186927-b8i85vo7	697	21	used	use	VERB
cord-186927-b8i85vo7	697	22	in	in	ADP
cord-186927-b8i85vo7	697	23	the	the	DET
cord-186927-b8i85vo7	697	24	case	case	NOUN
cord-186927-b8i85vo7	697	25	of	of	ADP
cord-186927-b8i85vo7	697	26	an	an	DET
cord-186927-b8i85vo7	697	27	sir	sir	NOUN
cord-186927-b8i85vo7	697	28	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	697	29	.	.	PUNCT
cord-186927-b8i85vo7	698	1	we	we	PRON
cord-186927-b8i85vo7	698	2	only	only	ADV
cord-186927-b8i85vo7	698	3	recall	recall	VERB
cord-186927-b8i85vo7	698	4	here	here	ADV
cord-186927-b8i85vo7	698	5	the	the	DET
cord-186927-b8i85vo7	698	6	key	key	ADJ
cord-186927-b8i85vo7	698	7	points	point	NOUN
cord-186927-b8i85vo7	698	8	of	of	ADP
cord-186927-b8i85vo7	698	9	the	the	DET
cord-186927-b8i85vo7	698	10	method	method	NOUN
cord-186927-b8i85vo7	698	11	.	.	PUNCT
cord-186927-b8i85vo7	699	1	we	we	PRON
cord-186927-b8i85vo7	699	2	first	first	ADV
cord-186927-b8i85vo7	699	3	solve	solve	VERB
cord-186927-b8i85vo7	699	4	(	(	PUNCT
cord-186927-b8i85vo7	699	5	2.22	2.22	NUM
cord-186927-b8i85vo7	699	6	)	)	PUNCT
cord-186927-b8i85vo7	699	7	with	with	ADP
cord-186927-b8i85vo7	699	8	the	the	DET
cord-186927-b8i85vo7	699	9	semi	semi	ADJ
cord-186927-b8i85vo7	699	10	-	-	ADJ
cord-186927-b8i85vo7	699	11	lagrangian	lagrangian	ADJ
cord-186927-b8i85vo7	699	12	scheme	scheme	NOUN
cord-186927-b8i85vo7	699	13	,	,	PUNCT
cord-186927-b8i85vo7	699	14	taking	take	VERB
cord-186927-b8i85vo7	699	15	v	v	NOUN
cord-186927-b8i85vo7	699	16	given	give	VERB
cord-186927-b8i85vo7	699	17	by	by	ADP
cord-186927-b8i85vo7	699	18	(	(	PUNCT
cord-186927-b8i85vo7	699	19	3.2	3.2	NUM
cord-186927-b8i85vo7	699	20	)	)	PUNCT
cord-186927-b8i85vo7	699	21	and	and	CCONJ
cord-186927-b8i85vo7	699	22	estimated	estimate	VERB
cord-186927-b8i85vo7	699	23	with	with	ADP
cord-186927-b8i85vo7	699	24	a	a	DET
cord-186927-b8i85vo7	699	25	monte	monte	PROPN
cord-186927-b8i85vo7	699	26	carlo	carlo	PROPN
cord-186927-b8i85vo7	699	27	method	method	PROPN
cord-186927-b8i85vo7	699	28	,	,	PUNCT
cord-186927-b8i85vo7	699	29	and	and	CCONJ
cord-186927-b8i85vo7	699	30	by	by	ADP
cord-186927-b8i85vo7	699	31	using	use	VERB
cord-186927-b8i85vo7	699	32	an	an	DET
cord-186927-b8i85vo7	699	33	euler	euler	NOUN
cord-186927-b8i85vo7	699	34	scheme	scheme	NOUN
cord-186927-b8i85vo7	699	35	with	with	ADP
cord-186927-b8i85vo7	699	36	a	a	DET
cord-186927-b8i85vo7	699	37	time	time	NOUN
cord-186927-b8i85vo7	699	38	-	-	PUNCT
cord-186927-b8i85vo7	699	39	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	699	40	of	of	ADP
cord-186927-b8i85vo7	699	41	600	600	NUM
cord-186927-b8i85vo7	699	42	time	time	NOUN
cord-186927-b8i85vo7	699	43	steps	step	NOUN
cord-186927-b8i85vo7	699	44	and	and	CCONJ
cord-186927-b8i85vo7	699	45	10	10	NUM
cord-186927-b8i85vo7	699	46	6	6	NUM
cord-186927-b8i85vo7	699	47	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	699	48	.	.	PUNCT
cord-186927-b8i85vo7	700	1	the	the	DET
cord-186927-b8i85vo7	700	2	estimated	estimate	VERB
cord-186927-b8i85vo7	700	3	value	value	NOUN
cord-186927-b8i85vo7	700	4	for	for	ADP
cord-186927-b8i85vo7	700	5	v	v	NOUN
cord-186927-b8i85vo7	700	6	is	be	AUX
cord-186927-b8i85vo7	700	7	−0.0878063	−0.0878063	NUM
cord-186927-b8i85vo7	700	8	.	.	PUNCT
cord-186927-b8i85vo7	701	1	we	we	PRON
cord-186927-b8i85vo7	701	2	then	then	ADV
cord-186927-b8i85vo7	701	3	take	take	VERB
cord-186927-b8i85vo7	701	4	a	a	DET
cord-186927-b8i85vo7	701	5	step	step	NOUN
cord-186927-b8i85vo7	701	6	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	701	7	for	for	ADP
cord-186927-b8i85vo7	701	8	the	the	DET
cord-186927-b8i85vo7	701	9	grid	grid	NOUN
cord-186927-b8i85vo7	701	10	in	in	ADP
cord-186927-b8i85vo7	701	11	(	(	PUNCT
cord-186927-b8i85vo7	701	12	s	s	PROPN
cord-186927-b8i85vo7	701	13	,	,	PUNCT
cord-186927-b8i85vo7	701	14	i	i	PROPN
cord-186927-b8i85vo7	701	15	,	,	PUNCT
cord-186927-b8i85vo7	701	16	y	y	PROPN
cord-186927-b8i85vo7	701	17	)	)	PUNCT
cord-186927-b8i85vo7	701	18	corresponding	correspond	VERB
cord-186927-b8i85vo7	701	19	to	to	ADP
cord-186927-b8i85vo7	701	20	(	(	PUNCT
cord-186927-b8i85vo7	701	21	0.0025	0.0025	NUM
cord-186927-b8i85vo7	701	22	,	,	PUNCT
cord-186927-b8i85vo7	701	23	0.0025	0.0025	NUM
cord-186927-b8i85vo7	701	24	,	,	PUNCT
cord-186927-b8i85vo7	701	25	0.005	0.005	NUM
cord-186927-b8i85vo7	701	26	)	)	PUNCT
cord-186927-b8i85vo7	701	27	,	,	PUNCT
cord-186927-b8i85vo7	701	28	leading	lead	VERB
cord-186927-b8i85vo7	701	29	to	to	ADP
cord-186927-b8i85vo7	701	30	a	a	DET
cord-186927-b8i85vo7	701	31	number	number	NOUN
cord-186927-b8i85vo7	701	32	of	of	ADP
cord-186927-b8i85vo7	701	33	meshes	mesh	NOUN
cord-186927-b8i85vo7	701	34	at	at	ADP
cord-186927-b8i85vo7	701	35	maturity	maturity	NOUN
cord-186927-b8i85vo7	701	36	equal	equal	ADJ
cord-186927-b8i85vo7	701	37	to	to	ADP
cord-186927-b8i85vo7	701	38	150	150	NUM
cord-186927-b8i85vo7	701	39	×	×	NOUN
cord-186927-b8i85vo7	701	40	120	120	NUM
cord-186927-b8i85vo7	701	41	×	×	NOUN
cord-186927-b8i85vo7	701	42	1200	1200	NUM
cord-186927-b8i85vo7	701	43	.	.	PUNCT
cord-186927-b8i85vo7	702	1	we	we	PRON
cord-186927-b8i85vo7	702	2	consider	consider	VERB
cord-186927-b8i85vo7	702	3	the	the	DET
cord-186927-b8i85vo7	702	4	bounded	bound	VERB
cord-186927-b8i85vo7	702	5	set	set	NOUN
cord-186927-b8i85vo7	702	6	of	of	ADP
cord-186927-b8i85vo7	702	7	values	value	NOUN
cord-186927-b8i85vo7	703	1	[	[	X
cord-186927-b8i85vo7	703	2	−10	−10	X
cord-186927-b8i85vo7	703	3	,	,	PUNCT
cord-186927-b8i85vo7	703	4	10	10	NUM
cord-186927-b8i85vo7	703	5	]	]	PUNCT
cord-186927-b8i85vo7	703	6	for	for	ADP
cord-186927-b8i85vo7	703	7	the	the	DET
cord-186927-b8i85vo7	703	8	control	control	NOUN
cord-186927-b8i85vo7	703	9	z	z	PROPN
cord-186927-b8i85vo7	703	10	,	,	PUNCT
cord-186927-b8i85vo7	703	11	and	and	CCONJ
cord-186927-b8i85vo7	703	12	a	a	DET
cord-186927-b8i85vo7	703	13	step	step	NOUN
cord-186927-b8i85vo7	703	14	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	703	15	equal	equal	ADJ
cord-186927-b8i85vo7	703	16	to	to	ADP
cord-186927-b8i85vo7	703	17	0.5	0.5	NUM
cord-186927-b8i85vo7	703	18	.	.	PUNCT
cord-186927-b8i85vo7	704	1	the	the	DET
cord-186927-b8i85vo7	704	2	graphs	graph	NOUN
cord-186927-b8i85vo7	704	3	obtained	obtain	VERB
cord-186927-b8i85vo7	704	4	are	be	AUX
cord-186927-b8i85vo7	704	5	briefly	briefly	ADV
cord-186927-b8i85vo7	704	6	described	describe	VERB
cord-186927-b8i85vo7	704	7	below	below	ADP
cord-186927-b8i85vo7	704	8	.	.	PUNCT
cord-186927-b8i85vo7	705	1	we	we	PRON
cord-186927-b8i85vo7	705	2	present	present	VERB
cord-186927-b8i85vo7	705	3	some	some	DET
cord-186927-b8i85vo7	705	4	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	705	5	of	of	ADP
cord-186927-b8i85vo7	705	6	the	the	DET
cord-186927-b8i85vo7	705	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	705	8	controls	control	NOUN
cord-186927-b8i85vo7	705	9	β	β	NOUN
cord-186927-b8i85vo7	705	10	and	and	CCONJ
cord-186927-b8i85vo7	705	11	z	z	NUM
cord-186927-b8i85vo7	705	12	,	,	PUNCT
cord-186927-b8i85vo7	705	13	as	as	ADV
cord-186927-b8i85vo7	705	14	well	well	ADV
cord-186927-b8i85vo7	705	15	as	as	ADP
cord-186927-b8i85vo7	705	16	the	the	DET
cord-186927-b8i85vo7	705	17	resulting	result	VERB
cord-186927-b8i85vo7	705	18	proportion	proportion	NOUN
cord-186927-b8i85vo7	705	19	i	i	PRON
cord-186927-b8i85vo7	705	20	of	of	ADP
cord-186927-b8i85vo7	705	21	infected	infected	ADJ
cord-186927-b8i85vo7	705	22	individuals	individual	NOUN
cord-186927-b8i85vo7	705	23	.	.	PUNCT
cord-186927-b8i85vo7	706	1	figure	figure	VERB
cord-186927-b8i85vo7	706	2	22	22	NUM
cord-186927-b8i85vo7	706	3	.	.	PUNCT
cord-186927-b8i85vo7	707	1	we	we	PRON
cord-186927-b8i85vo7	707	2	compare	compare	VERB
cord-186927-b8i85vo7	707	3	on	on	ADP
cord-186927-b8i85vo7	707	4	some	some	DET
cord-186927-b8i85vo7	707	5	simulations	simulation	NOUN
cord-186927-b8i85vo7	707	6	the	the	DET
cord-186927-b8i85vo7	707	7	optimal	optimal	ADJ
cord-186927-b8i85vo7	707	8	transmission	transmission	NOUN
cord-186927-b8i85vo7	707	9	rate	rate	NOUN
cord-186927-b8i85vo7	707	10	obtained	obtain	VERB
cord-186927-b8i85vo7	707	11	with	with	ADP
cord-186927-b8i85vo7	707	12	the	the	DET
cord-186927-b8i85vo7	707	13	contract	contract	NOUN
cord-186927-b8i85vo7	707	14	to	to	ADP
cord-186927-b8i85vo7	707	15	the	the	DET
cord-186927-b8i85vo7	707	16	one	one	NOUN
cord-186927-b8i85vo7	707	17	obtained	obtain	VERB
cord-186927-b8i85vo7	707	18	in	in	ADP
cord-186927-b8i85vo7	707	19	the	the	DET
cord-186927-b8i85vo7	707	20	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	707	21	case	case	NOUN
cord-186927-b8i85vo7	707	22	.	.	PUNCT
cord-186927-b8i85vo7	708	1	we	we	PRON
cord-186927-b8i85vo7	708	2	see	see	VERB
cord-186927-b8i85vo7	708	3	that	that	SCONJ
cord-186927-b8i85vo7	708	4	the	the	DET
cord-186927-b8i85vo7	708	5	tax	tax	NOUN
cord-186927-b8i85vo7	708	6	succeeds	succeed	VERB
cord-186927-b8i85vo7	708	7	in	in	ADP
cord-186927-b8i85vo7	708	8	reducing	reduce	VERB
cord-186927-b8i85vo7	708	9	significantly	significantly	ADV
cord-186927-b8i85vo7	708	10	the	the	DET
cord-186927-b8i85vo7	708	11	interaction	interaction	NOUN
cord-186927-b8i85vo7	708	12	rate	rate	NOUN
cord-186927-b8i85vo7	708	13	compared	compare	VERB
cord-186927-b8i85vo7	708	14	to	to	ADP
cord-186927-b8i85vo7	708	15	the	the	DET
cord-186927-b8i85vo7	708	16	no	no	DET
cord-186927-b8i85vo7	708	17	-	-	PUNCT
cord-186927-b8i85vo7	708	18	tax	tax	NOUN
cord-186927-b8i85vo7	708	19	policy	policy	NOUN
cord-186927-b8i85vo7	708	20	case	case	NOUN
cord-186927-b8i85vo7	708	21	.	.	PUNCT
cord-186927-b8i85vo7	709	1	comparison	comparison	NOUN
cord-186927-b8i85vo7	709	2	with	with	ADP
cord-186927-b8i85vo7	709	3	the	the	DET
cord-186927-b8i85vo7	709	4	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	709	5	case	case	NOUN
cord-186927-b8i85vo7	709	6	.	.	PUNCT
cord-186927-b8i85vo7	710	1	due	due	ADP
cord-186927-b8i85vo7	710	2	to	to	ADP
cord-186927-b8i85vo7	710	3	the	the	DET
cord-186927-b8i85vo7	710	4	larger	large	ADJ
cord-186927-b8i85vo7	710	5	terminal	terminal	ADJ
cord-186927-b8i85vo7	710	6	time	time	NOUN
cord-186927-b8i85vo7	710	7	horizon	horizon	NOUN
cord-186927-b8i85vo7	710	8	,	,	PUNCT
cord-186927-b8i85vo7	710	9	the	the	DET
cord-186927-b8i85vo7	710	10	computation	computation	NOUN
cord-186927-b8i85vo7	710	11	time	time	NOUN
cord-186927-b8i85vo7	710	12	is	be	AUX
cord-186927-b8i85vo7	710	13	particularly	particularly	ADV
cord-186927-b8i85vo7	710	14	significant	significant	ADJ
cord-186927-b8i85vo7	710	15	.	.	PUNCT
cord-186927-b8i85vo7	711	1	to	to	PART
cord-186927-b8i85vo7	711	2	reduce	reduce	VERB
cord-186927-b8i85vo7	711	3	it	it	PRON
cord-186927-b8i85vo7	711	4	,	,	PUNCT
cord-186927-b8i85vo7	711	5	the	the	DET
cord-186927-b8i85vo7	711	6	discretisation	discretisation	NOUN
cord-186927-b8i85vo7	711	7	used	use	VERB
cord-186927-b8i85vo7	711	8	to	to	PART
cord-186927-b8i85vo7	711	9	find	find	VERB
cord-186927-b8i85vo7	711	10	the	the	DET
cord-186927-b8i85vo7	711	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	711	12	control	control	NOUN
cord-186927-b8i85vo7	711	13	z	z	PROPN
cord-186927-b8i85vo7	711	14	is	be	AUX
cord-186927-b8i85vo7	711	15	reduced	reduce	VERB
cord-186927-b8i85vo7	711	16	to	to	ADP
cord-186927-b8i85vo7	711	17	1	1	NUM
cord-186927-b8i85vo7	711	18	.	.	PUNCT
cord-186927-b8i85vo7	712	1	the	the	DET
cord-186927-b8i85vo7	712	2	resulting	result	VERB
cord-186927-b8i85vo7	712	3	graphs	graph	NOUN
cord-186927-b8i85vo7	712	4	are	be	AUX
cord-186927-b8i85vo7	712	5	briefly	briefly	ADV
cord-186927-b8i85vo7	712	6	described	describe	VERB
cord-186927-b8i85vo7	712	7	below	below	ADP
cord-186927-b8i85vo7	712	8	.	.	PUNCT
cord-186927-b8i85vo7	713	1	we	we	PRON
cord-186927-b8i85vo7	713	2	present	present	VERB
cord-186927-b8i85vo7	713	3	trajectories	trajectory	NOUN
cord-186927-b8i85vo7	713	4	of	of	ADP
cord-186927-b8i85vo7	713	5	the	the	DET
cord-186927-b8i85vo7	713	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	713	7	controls	control	NOUN
cord-186927-b8i85vo7	713	8	β	β	PROPN
cord-186927-b8i85vo7	713	9	,	,	PUNCT
cord-186927-b8i85vo7	713	10	α	α	PROPN
cord-186927-b8i85vo7	713	11	and	and	CCONJ
cord-186927-b8i85vo7	713	12	z	z	NUM
cord-186927-b8i85vo7	713	13	,	,	PUNCT
cord-186927-b8i85vo7	713	14	and	and	CCONJ
cord-186927-b8i85vo7	713	15	the	the	DET
cord-186927-b8i85vo7	713	16	resulting	result	VERB
cord-186927-b8i85vo7	713	17	proportion	proportion	NOUN
cord-186927-b8i85vo7	713	18	i	i	PRON
cord-186927-b8i85vo7	713	19	of	of	ADP
cord-186927-b8i85vo7	713	20	infected	infected	PROPN
cord-186927-b8i85vo7	713	21	.	.	PUNCT
cord-186927-b8i85vo7	714	1	we	we	PRON
cord-186927-b8i85vo7	714	2	compare	compare	VERB
cord-186927-b8i85vo7	714	3	on	on	ADP
cord-186927-b8i85vo7	714	4	simulations	simulation	NOUN
cord-186927-b8i85vo7	714	5	the	the	DET
cord-186927-b8i85vo7	714	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	714	7	proportion	proportion	NOUN
cord-186927-b8i85vo7	714	8	of	of	ADP
cord-186927-b8i85vo7	714	9	infected	infect	VERB
cord-186927-b8i85vo7	714	10	with	with	ADP
cord-186927-b8i85vo7	714	11	the	the	DET
cord-186927-b8i85vo7	714	12	two	two	NUM
cord-186927-b8i85vo7	714	13	previous	previous	ADJ
cord-186927-b8i85vo7	714	14	cases	case	NOUN
cord-186927-b8i85vo7	714	15	(	(	PUNCT
cord-186927-b8i85vo7	714	16	benchmark	benchmark	NOUN
cord-186927-b8i85vo7	714	17	case	case	NOUN
cord-186927-b8i85vo7	714	18	and	and	CCONJ
cord-186927-b8i85vo7	714	19	only	only	ADJ
cord-186927-b8i85vo7	714	20	tax	tax	NOUN
cord-186927-b8i85vo7	714	21	policy	policy	NOUN
cord-186927-b8i85vo7	714	22	):	):	PUNCT
cord-186927-b8i85vo7	714	23	with	with	ADP
cord-186927-b8i85vo7	714	24	testing	testing	NOUN
cord-186927-b8i85vo7	714	25	,	,	PUNCT
cord-186927-b8i85vo7	714	26	the	the	DET
cord-186927-b8i85vo7	714	27	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	714	28	is	be	AUX
cord-186927-b8i85vo7	714	29	now	now	ADV
cord-186927-b8i85vo7	714	30	totally	totally	ADV
cord-186927-b8i85vo7	714	31	under	under	ADP
cord-186927-b8i85vo7	714	32	control	control	NOUN
cord-186927-b8i85vo7	714	33	.	.	PUNCT
cord-186927-b8i85vo7	715	1	we	we	PRON
cord-186927-b8i85vo7	715	2	present	present	VERB
cord-186927-b8i85vo7	715	3	simulations	simulation	NOUN
cord-186927-b8i85vo7	715	4	of	of	ADP
cord-186927-b8i85vo7	715	5	the	the	DET
cord-186927-b8i85vo7	715	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	715	7	effective	effective	ADJ
cord-186927-b8i85vo7	715	8	transmission	transmission	NOUN
cord-186927-b8i85vo7	715	9	rate	rate	NOUN
cord-186927-b8i85vo7	715	10	in	in	ADP
cord-186927-b8i85vo7	715	11	this	this	DET
cord-186927-b8i85vo7	715	12	case	case	NOUN
cord-186927-b8i85vo7	715	13	,	,	PUNCT
cord-186927-b8i85vo7	715	14	and	and	CCONJ
cord-186927-b8i85vo7	715	15	compare	compare	VERB
cord-186927-b8i85vo7	715	16	it	it	PRON
cord-186927-b8i85vo7	715	17	to	to	ADP
cord-186927-b8i85vo7	715	18	the	the	DET
cord-186927-b8i85vo7	715	19	optimal	optimal	ADJ
cord-186927-b8i85vo7	715	20	β	β	NOUN
cord-186927-b8i85vo7	715	21	obtained	obtain	VERB
cord-186927-b8i85vo7	715	22	in	in	ADP
cord-186927-b8i85vo7	715	23	the	the	DET
cord-186927-b8i85vo7	715	24	benchmark	benchmark	ADJ
cord-186927-b8i85vo7	715	25	case	case	NOUN
cord-186927-b8i85vo7	715	26	and	and	CCONJ
cord-186927-b8i85vo7	715	27	without	without	ADP
cord-186927-b8i85vo7	715	28	testing	test	VERB
cord-186927-b8i85vo7	715	29	policy	policy	NOUN
cord-186927-b8i85vo7	715	30	.	.	PUNCT
cord-186927-b8i85vo7	716	1	figure	figure	NOUN
cord-186927-b8i85vo7	716	2	27	27	NUM
cord-186927-b8i85vo7	716	3	.	.	PUNCT
cord-186927-b8i85vo7	717	1	we	we	PRON
cord-186927-b8i85vo7	717	2	present	present	VERB
cord-186927-b8i85vo7	717	3	simulations	simulation	NOUN
cord-186927-b8i85vo7	717	4	of	of	ADP
cord-186927-b8i85vo7	717	5	the	the	DET
cord-186927-b8i85vo7	717	6	optimal	optimal	ADJ
cord-186927-b8i85vo7	717	7	α	α	NOUN
cord-186927-b8i85vo7	717	8	:	:	PUNCT
cord-186927-b8i85vo7	717	9	its	its	PRON
cord-186927-b8i85vo7	717	10	quick	quick	ADJ
cord-186927-b8i85vo7	717	11	variations	variation	NOUN
cord-186927-b8i85vo7	717	12	explain	explain	VERB
cord-186927-b8i85vo7	717	13	the	the	DET
cord-186927-b8i85vo7	717	14	swift	swift	ADJ
cord-186927-b8i85vo7	717	15	changes	change	NOUN
cord-186927-b8i85vo7	717	16	in	in	ADP
cord-186927-b8i85vo7	717	17	the	the	DET
cord-186927-b8i85vo7	717	18	effective	effective	ADJ
cord-186927-b8i85vo7	717	19	β	β	NOUN
cord-186927-b8i85vo7	717	20	.	.	PUNCT
cord-186927-b8i85vo7	718	1	optimal	optimal	ADJ
cord-186927-b8i85vo7	718	2	contact	contact	NOUN
cord-186927-b8i85vo7	718	3	rate	rate	NOUN
cord-186927-b8i85vo7	718	4	β	β	NOUN
cord-186927-b8i85vo7	718	5	optimal	optimal	ADJ
cord-186927-b8i85vo7	718	6	testing	testing	NOUN
cord-186927-b8i85vo7	718	7	policy	policy	NOUN
cord-186927-b8i85vo7	718	8	α	α	X
cord-186927-b8i85vo7	718	9	optimal	optimal	ADJ
cord-186927-b8i85vo7	718	10	control	control	VERB
cord-186927-b8i85vo7	718	11	z	z	PROPN
cord-186927-b8i85vo7	718	12	proportion	proportion	NOUN
cord-186927-b8i85vo7	718	13	i	i	PRON
cord-186927-b8i85vo7	718	14	of	of	ADP
cord-186927-b8i85vo7	718	15	infected	infect	VERB
cord-186927-b8i85vo7	718	16	an	an	DET
cord-186927-b8i85vo7	718	17	optimal	optimal	ADJ
cord-186927-b8i85vo7	718	18	isolation	isolation	NOUN
cord-186927-b8i85vo7	718	19	policy	policy	NOUN
cord-186927-b8i85vo7	718	20	for	for	ADP
cord-186927-b8i85vo7	718	21	an	an	DET
cord-186927-b8i85vo7	718	22	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	718	23	optimal	optimal	ADJ
cord-186927-b8i85vo7	718	24	electricity	electricity	NOUN
cord-186927-b8i85vo7	718	25	demand	demand	NOUN
cord-186927-b8i85vo7	718	26	response	response	NOUN
cord-186927-b8i85vo7	718	27	contracting	contracting	NOUN
cord-186927-b8i85vo7	718	28	with	with	ADP
cord-186927-b8i85vo7	718	29	responsiveness	responsiveness	ADJ
cord-186927-b8i85vo7	718	30	incentives	incentive	NOUN
cord-186927-b8i85vo7	718	31	a	a	DET
cord-186927-b8i85vo7	718	32	principal	principal	ADJ
cord-186927-b8i85vo7	718	33	-	-	PUNCT
cord-186927-b8i85vo7	718	34	agent	agent	NOUN
cord-186927-b8i85vo7	718	35	approach	approach	NOUN
cord-186927-b8i85vo7	718	36	to	to	PART
cord-186927-b8i85vo7	718	37	study	study	VERB
cord-186927-b8i85vo7	718	38	capacity	capacity	NOUN
cord-186927-b8i85vo7	718	39	remuneration	remuneration	NOUN
cord-186927-b8i85vo7	718	40	mechanisms	mechanism	NOUN
cord-186927-b8i85vo7	718	41	an	an	DET
cord-186927-b8i85vo7	718	42	introduction	introduction	NOUN
cord-186927-b8i85vo7	718	43	to	to	ADP
cord-186927-b8i85vo7	718	44	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	718	45	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	718	46	models	model	NOUN
cord-186927-b8i85vo7	718	47	comparison	comparison	NOUN
cord-186927-b8i85vo7	718	48	of	of	ADP
cord-186927-b8i85vo7	718	49	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	718	50	and	and	CCONJ
cord-186927-b8i85vo7	718	51	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	718	52	sis	sis	NOUN
cord-186927-b8i85vo7	718	53	and	and	CCONJ
cord-186927-b8i85vo7	718	54	sir	sir	PROPN
cord-186927-b8i85vo7	718	55	models	model	NOUN
cord-186927-b8i85vo7	718	56	in	in	ADP
cord-186927-b8i85vo7	718	57	discrete	discrete	ADJ
cord-186927-b8i85vo7	718	58	time	time	NOUN
cord-186927-b8i85vo7	718	59	a	a	DET
cord-186927-b8i85vo7	718	60	simple	simple	ADJ
cord-186927-b8i85vo7	718	61	planning	planning	NOUN
cord-186927-b8i85vo7	718	62	problem	problem	NOUN
cord-186927-b8i85vo7	718	63	for	for	SCONJ
cord-186927-b8i85vo7	718	64	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	718	65	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	718	66	disability	disability	NOUN
cord-186927-b8i85vo7	718	67	-	-	PUNCT
cord-186927-b8i85vo7	718	68	adjusted	adjust	VERB
cord-186927-b8i85vo7	718	69	life	life	NOUN
cord-186927-b8i85vo7	718	70	years	year	NOUN
cord-186927-b8i85vo7	718	71	:	:	PUNCT
cord-186927-b8i85vo7	718	72	a	a	DET
cord-186927-b8i85vo7	718	73	critical	critical	ADJ
cord-186927-b8i85vo7	718	74	review	review	NOUN
cord-186927-b8i85vo7	718	75	population	population	NOUN
cord-186927-b8i85vo7	718	76	biology	biology	NOUN
cord-186927-b8i85vo7	718	77	of	of	ADP
cord-186927-b8i85vo7	718	78	infectious	infectious	ADJ
cord-186927-b8i85vo7	718	79	diseases	disease	NOUN
cord-186927-b8i85vo7	718	80	:	:	PUNCT
cord-186927-b8i85vo7	718	81	part	part	NOUN
cord-186927-b8i85vo7	718	82	i	i	PRON
cord-186927-b8i85vo7	718	83	how	how	SCONJ
cord-186927-b8i85vo7	718	84	will	will	AUX
cord-186927-b8i85vo7	718	85	country	country	NOUN
cord-186927-b8i85vo7	718	86	-	-	PUNCT
cord-186927-b8i85vo7	718	87	based	base	VERB
cord-186927-b8i85vo7	718	88	mitigation	mitigation	NOUN
cord-186927-b8i85vo7	718	89	measures	measure	NOUN
cord-186927-b8i85vo7	718	90	influence	influence	VERB
cord-186927-b8i85vo7	718	91	the	the	DET
cord-186927-b8i85vo7	718	92	course	course	NOUN
cord-186927-b8i85vo7	718	93	of	of	ADP
cord-186927-b8i85vo7	718	94	the	the	DET
cord-186927-b8i85vo7	718	95	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	718	96	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	718	97	?	?	PUNCT
cord-186927-b8i85vo7	719	1	the	the	DET
cord-186927-b8i85vo7	719	2	lancet	lancet	PROPN
cord-186927-b8i85vo7	719	3	un	un	PROPN
cord-186927-b8i85vo7	719	4	modèle	modèle	X
cord-186927-b8i85vo7	719	5	mathématique	mathématique	X
cord-186927-b8i85vo7	719	6	des	des	X
cord-186927-b8i85vo7	719	7	débuts	débuts	PROPN
cord-186927-b8i85vo7	719	8	de	de	X
cord-186927-b8i85vo7	719	9	l'épidémie	l'épidémie	X
cord-186927-b8i85vo7	719	10	de	de	X
cord-186927-b8i85vo7	719	11	coronavirus	coronavirus	PROPN
cord-186927-b8i85vo7	719	12	en	en	ADP
cord-186927-b8i85vo7	719	13	france	france	PROPN
cord-186927-b8i85vo7	719	14	a	a	DET
cord-186927-b8i85vo7	719	15	simple	simple	ADJ
cord-186927-b8i85vo7	719	16	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	719	17	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	719	18	the	the	DET
cord-186927-b8i85vo7	719	19	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	719	20	theory	theory	NOUN
cord-186927-b8i85vo7	719	21	of	of	ADP
cord-186927-b8i85vo7	719	22	infectious	infectious	ADJ
cord-186927-b8i85vo7	719	23	diseases	disease	NOUN
cord-186927-b8i85vo7	719	24	and	and	CCONJ
cord-186927-b8i85vo7	719	25	its	its	PRON
cord-186927-b8i85vo7	719	26	applications	application	NOUN
cord-186927-b8i85vo7	719	27	some	some	DET
cord-186927-b8i85vo7	719	28	evolutionary	evolutionary	ADJ
cord-186927-b8i85vo7	719	29	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	719	30	processes	process	NOUN
cord-186927-b8i85vo7	719	31	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	719	32	and	and	CCONJ
cord-186927-b8i85vo7	719	33	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	719	34	models	model	NOUN
cord-186927-b8i85vo7	719	35	for	for	ADP
cord-186927-b8i85vo7	719	36	recurrent	recurrent	ADJ
cord-186927-b8i85vo7	719	37	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	719	38	optimal	optimal	ADJ
cord-186927-b8i85vo7	719	39	control	control	NOUN
cord-186927-b8i85vo7	719	40	of	of	ADP
cord-186927-b8i85vo7	719	41	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	719	42	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	719	43	stability	stability	NOUN
cord-186927-b8i85vo7	719	44	of	of	ADP
cord-186927-b8i85vo7	719	45	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	719	46	model	model	NOUN
cord-186927-b8i85vo7	719	47	with	with	ADP
cord-186927-b8i85vo7	719	48	time	time	NOUN
cord-186927-b8i85vo7	719	49	delays	delay	NOUN
cord-186927-b8i85vo7	719	50	influenced	influence	VERB
cord-186927-b8i85vo7	719	51	by	by	ADP
cord-186927-b8i85vo7	719	52	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	719	53	perturbations	perturbation	NOUN
cord-186927-b8i85vo7	719	54	essai	essai	PROPN
cord-186927-b8i85vo7	719	55	d'une	d'une	X
cord-186927-b8i85vo7	719	56	nouvelle	nouvelle	X
cord-186927-b8i85vo7	719	57	analyse	analyse	PROPN
cord-186927-b8i85vo7	719	58	de	de	PROPN
cord-186927-b8i85vo7	719	59	la	la	PROPN
cord-186927-b8i85vo7	719	60	mortalité	mortalité	PROPN
cord-186927-b8i85vo7	719	61	causée	causée	VERB
cord-186927-b8i85vo7	719	62	par	par	NOUN
cord-186927-b8i85vo7	719	63	la	la	ADJ
cord-186927-b8i85vo7	719	64	petite	petite	ADJ
cord-186927-b8i85vo7	719	65	vérole	vérole	NOUN
cord-186927-b8i85vo7	719	66	,	,	PUNCT
cord-186927-b8i85vo7	719	67	et	et	X
cord-186927-b8i85vo7	719	68	des	des	X
cord-186927-b8i85vo7	719	69	avantages	avantage	NOUN
cord-186927-b8i85vo7	719	70	de	de	X
cord-186927-b8i85vo7	719	71	l'inoculation	l'inoculation	PROPN
cord-186927-b8i85vo7	719	72	pour	pour	PROPN
cord-186927-b8i85vo7	719	73	la	la	X
cord-186927-b8i85vo7	719	74	prévenir	prévenir	X
cord-186927-b8i85vo7	719	75	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	719	76	integration	integration	NOUN
cord-186927-b8i85vo7	719	77	and	and	CCONJ
cord-186927-b8i85vo7	719	78	l	l	PROPN
cord-186927-b8i85vo7	719	79	p	p	PROPN
cord-186927-b8i85vo7	719	80	-theory	-theory	PROPN
cord-186927-b8i85vo7	719	81	of	of	ADP
cord-186927-b8i85vo7	719	82	semimartingales	semimartingale	NOUN
cord-186927-b8i85vo7	719	83	contract	contract	NOUN
cord-186927-b8i85vo7	719	84	theory	theory	NOUN
cord-186927-b8i85vo7	719	85	a	a	DET
cord-186927-b8i85vo7	719	86	unified	unified	ADJ
cord-186927-b8i85vo7	719	87	approach	approach	NOUN
cord-186927-b8i85vo7	719	88	to	to	ADP
cord-186927-b8i85vo7	719	89	a	a	DET
cord-186927-b8i85vo7	719	90	priori	priori	ADJ
cord-186927-b8i85vo7	719	91	estimates	estimate	NOUN
cord-186927-b8i85vo7	719	92	for	for	ADP
cord-186927-b8i85vo7	719	93	supersolutions	supersolution	NOUN
cord-186927-b8i85vo7	719	94	of	of	ADP
cord-186927-b8i85vo7	719	95	bsdes	bsde	NOUN
cord-186927-b8i85vo7	719	96	in	in	ADP
cord-186927-b8i85vo7	719	97	general	general	ADJ
cord-186927-b8i85vo7	719	98	filtrations	filtration	NOUN
cord-186927-b8i85vo7	719	99	.	.	PUNCT
cord-186927-b8i85vo7	720	1	annales	annales	PROPN
cord-186927-b8i85vo7	720	2	de	de	PROPN
cord-186927-b8i85vo7	720	3	l'institut	l'institut	PROPN
cord-186927-b8i85vo7	720	4	henri	henri	PROPN
cord-186927-b8i85vo7	720	5	poincaré	poincaré	PROPN
cord-186927-b8i85vo7	720	6	an	an	DET
cord-186927-b8i85vo7	720	7	approximation	approximation	NOUN
cord-186927-b8i85vo7	720	8	scheme	scheme	NOUN
cord-186927-b8i85vo7	720	9	for	for	ADP
cord-186927-b8i85vo7	720	10	the	the	DET
cord-186927-b8i85vo7	720	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	720	12	control	control	NOUN
cord-186927-b8i85vo7	720	13	of	of	ADP
cord-186927-b8i85vo7	720	14	diffusion	diffusion	NOUN
cord-186927-b8i85vo7	720	15	processes	process	VERB
cord-186927-b8i85vo7	720	16	finite	finite	PROPN
cord-186927-b8i85vo7	720	17	-	-	PUNCT
cord-186927-b8i85vo7	720	18	state	state	NOUN
cord-186927-b8i85vo7	720	19	contract	contract	NOUN
cord-186927-b8i85vo7	720	20	theory	theory	NOUN
cord-186927-b8i85vo7	720	21	with	with	ADP
cord-186927-b8i85vo7	720	22	a	a	DET
cord-186927-b8i85vo7	720	23	principal	principal	NOUN
cord-186927-b8i85vo7	720	24	and	and	CCONJ
cord-186927-b8i85vo7	720	25	a	a	DET
cord-186927-b8i85vo7	720	26	field	field	NOUN
cord-186927-b8i85vo7	720	27	of	of	ADP
cord-186927-b8i85vo7	720	28	agents	agent	NOUN
cord-186927-b8i85vo7	720	29	contact	contact	NOUN
cord-186927-b8i85vo7	720	30	tracing	trace	VERB
cord-186927-b8i85vo7	720	31	mobile	mobile	ADJ
cord-186927-b8i85vo7	720	32	apps	app	NOUN
cord-186927-b8i85vo7	720	33	for	for	ADP
cord-186927-b8i85vo7	720	34	covid-19	covid-19	NUM
cord-186927-b8i85vo7	720	35	:	:	PUNCT
cord-186927-b8i85vo7	720	36	privacy	privacy	NOUN
cord-186927-b8i85vo7	720	37	considerations	consideration	NOUN
cord-186927-b8i85vo7	720	38	and	and	CCONJ
cord-186927-b8i85vo7	720	39	related	related	ADJ
cord-186927-b8i85vo7	720	40	trade	trade	NOUN
cord-186927-b8i85vo7	720	41	-	-	PUNCT
cord-186927-b8i85vo7	720	42	offs	off	NOUN
cord-186927-b8i85vo7	720	43	covid-19	covid-19	PRON
cord-186927-b8i85vo7	720	44	:	:	PUNCT
cord-186927-b8i85vo7	720	45	extending	extend	VERB
cord-186927-b8i85vo7	720	46	or	or	CCONJ
cord-186927-b8i85vo7	720	47	relaxing	relax	VERB
cord-186927-b8i85vo7	720	48	distancing	distancing	NOUN
cord-186927-b8i85vo7	720	49	control	control	NOUN
cord-186927-b8i85vo7	720	50	measures	measure	NOUN
cord-186927-b8i85vo7	720	51	.	.	PUNCT
cord-186927-b8i85vo7	721	1	the	the	DET
cord-186927-b8i85vo7	721	2	lancet	lancet	PROPN
cord-186927-b8i85vo7	721	3	public	public	PROPN
cord-186927-b8i85vo7	721	4	health	health	NOUN
cord-186927-b8i85vo7	721	5	on	on	ADP
cord-186927-b8i85vo7	721	6	the	the	DET
cord-186927-b8i85vo7	721	7	lambertw	lambertw	PROPN
cord-186927-b8i85vo7	721	8	function	function	NOUN
cord-186927-b8i85vo7	721	9	asset	asset	NOUN
cord-186927-b8i85vo7	721	10	pricing	pricing	NOUN
cord-186927-b8i85vo7	721	11	under	under	ADP
cord-186927-b8i85vo7	721	12	optimal	optimal	ADJ
cord-186927-b8i85vo7	721	13	contracts	contract	NOUN
cord-186927-b8i85vo7	721	14	contract	contract	NOUN
cord-186927-b8i85vo7	721	15	theory	theory	NOUN
cord-186927-b8i85vo7	721	16	in	in	ADP
cord-186927-b8i85vo7	721	17	continuous	continuous	ADJ
cord-186927-b8i85vo7	721	18	-	-	PUNCT
cord-186927-b8i85vo7	721	19	time	time	NOUN
cord-186927-b8i85vo7	721	20	models	model	NOUN
cord-186927-b8i85vo7	721	21	moral	moral	ADJ
cord-186927-b8i85vo7	721	22	hazard	hazard	NOUN
cord-186927-b8i85vo7	721	23	in	in	ADP
cord-186927-b8i85vo7	721	24	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	721	25	risk	risk	NOUN
cord-186927-b8i85vo7	721	26	management	management	NOUN
cord-186927-b8i85vo7	721	27	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	721	28	programming	programming	NOUN
cord-186927-b8i85vo7	721	29	approach	approach	NOUN
cord-186927-b8i85vo7	721	30	to	to	ADP
cord-186927-b8i85vo7	721	31	principal	principal	ADJ
cord-186927-b8i85vo7	721	32	-	-	PUNCT
cord-186927-b8i85vo7	721	33	agent	agent	NOUN
cord-186927-b8i85vo7	721	34	problems	problem	NOUN
cord-186927-b8i85vo7	721	35	covid-19	covid-19	PUNCT
cord-186927-b8i85vo7	721	36	-	-	PUNCT
cord-186927-b8i85vo7	721	37	new	new	ADJ
cord-186927-b8i85vo7	721	38	insights	insight	NOUN
cord-186927-b8i85vo7	721	39	on	on	ADP
cord-186927-b8i85vo7	721	40	a	a	DET
cord-186927-b8i85vo7	721	41	rapidly	rapidly	ADV
cord-186927-b8i85vo7	721	42	changing	change	VERB
cord-186927-b8i85vo7	721	43	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	721	44	optimal	optimal	ADJ
cord-186927-b8i85vo7	721	45	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	721	46	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	721	47	control	control	NOUN
cord-186927-b8i85vo7	721	48	until	until	ADP
cord-186927-b8i85vo7	721	49	vaccine	vaccine	NOUN
cord-186927-b8i85vo7	721	50	deployment	deployment	ADJ
cord-186927-b8i85vo7	721	51	heterogeneous	heterogeneous	ADJ
cord-186927-b8i85vo7	721	52	social	social	ADJ
cord-186927-b8i85vo7	721	53	interactions	interaction	NOUN
cord-186927-b8i85vo7	721	54	and	and	CCONJ
cord-186927-b8i85vo7	721	55	the	the	DET
cord-186927-b8i85vo7	721	56	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	721	57	lockdown	lockdown	NOUN
cord-186927-b8i85vo7	721	58	outcome	outcome	NOUN
cord-186927-b8i85vo7	721	59	in	in	ADP
cord-186927-b8i85vo7	721	60	a	a	DET
cord-186927-b8i85vo7	721	61	multi	multi	ADJ
cord-186927-b8i85vo7	721	62	-	-	ADJ
cord-186927-b8i85vo7	721	63	group	group	ADJ
cord-186927-b8i85vo7	721	64	seir	seir	NOUN
cord-186927-b8i85vo7	721	65	model	model	NOUN
cord-186927-b8i85vo7	721	66	optimal	optimal	ADJ
cord-186927-b8i85vo7	721	67	make	make	AUX
cord-186927-b8i85vo7	721	68	-	-	PUNCT
cord-186927-b8i85vo7	721	69	take	take	VERB
cord-186927-b8i85vo7	721	70	fees	fee	NOUN
cord-186927-b8i85vo7	721	71	for	for	ADP
cord-186927-b8i85vo7	721	72	market	market	NOUN
cord-186927-b8i85vo7	721	73	making	make	VERB
cord-186927-b8i85vo7	721	74	regulation	regulation	NOUN
cord-186927-b8i85vo7	721	75	capacities	capacity	NOUN
cord-186927-b8i85vo7	721	76	,	,	PUNCT
cord-186927-b8i85vo7	721	77	measurable	measurable	ADJ
cord-186927-b8i85vo7	721	78	selection	selection	NOUN
cord-186927-b8i85vo7	721	79	and	and	CCONJ
cord-186927-b8i85vo7	721	80	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	721	81	programming	programming	NOUN
cord-186927-b8i85vo7	721	82	part	part	PROPN
cord-186927-b8i85vo7	721	83	ii	ii	PROPN
cord-186927-b8i85vo7	721	84	:	:	PUNCT
cord-186927-b8i85vo7	721	85	application	application	NOUN
cord-186927-b8i85vo7	721	86	in	in	ADP
cord-186927-b8i85vo7	721	87	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	721	88	control	control	NOUN
cord-186927-b8i85vo7	721	89	problems	problem	NOUN
cord-186927-b8i85vo7	721	90	contracting	contracting	NOUN
cord-186927-b8i85vo7	721	91	theory	theory	NOUN
cord-186927-b8i85vo7	721	92	with	with	ADP
cord-186927-b8i85vo7	721	93	competitive	competitive	ADJ
cord-186927-b8i85vo7	721	94	interacting	interact	VERB
cord-186927-b8i85vo7	721	95	agents	agent	NOUN
cord-186927-b8i85vo7	721	96	mean	mean	ADJ
cord-186927-b8i85vo7	721	97	-	-	PUNCT
cord-186927-b8i85vo7	721	98	field	field	NOUN
cord-186927-b8i85vo7	721	99	moral	moral	ADJ
cord-186927-b8i85vo7	721	100	hazard	hazard	NOUN
cord-186927-b8i85vo7	721	101	for	for	ADP
cord-186927-b8i85vo7	721	102	optimal	optimal	ADJ
cord-186927-b8i85vo7	721	103	energy	energy	NOUN
cord-186927-b8i85vo7	721	104	demand	demand	NOUN
cord-186927-b8i85vo7	721	105	response	response	NOUN
cord-186927-b8i85vo7	721	106	management	management	NOUN
cord-186927-b8i85vo7	721	107	a	a	DET
cord-186927-b8i85vo7	721	108	tale	tale	NOUN
cord-186927-b8i85vo7	721	109	of	of	ADP
cord-186927-b8i85vo7	721	110	a	a	DET
cord-186927-b8i85vo7	721	111	principal	principal	NOUN
cord-186927-b8i85vo7	721	112	and	and	CCONJ
cord-186927-b8i85vo7	721	113	many	many	ADJ
cord-186927-b8i85vo7	721	114	many	many	ADJ
cord-186927-b8i85vo7	721	115	agents	agent	NOUN
cord-186927-b8i85vo7	721	116	contact	contact	NOUN
cord-186927-b8i85vo7	721	117	rate	rate	NOUN
cord-186927-b8i85vo7	721	118	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	721	119	control	control	NOUN
cord-186927-b8i85vo7	721	120	of	of	ADP
cord-186927-b8i85vo7	721	121	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	721	122	:	:	PUNCT
cord-186927-b8i85vo7	721	123	an	an	DET
cord-186927-b8i85vo7	721	124	equilibrium	equilibrium	NOUN
cord-186927-b8i85vo7	721	125	view	view	VERB
cord-186927-b8i85vo7	721	126	adaptive	adaptive	ADJ
cord-186927-b8i85vo7	721	127	human	human	ADJ
cord-186927-b8i85vo7	721	128	behavior	behavior	NOUN
cord-186927-b8i85vo7	721	129	in	in	ADP
cord-186927-b8i85vo7	721	130	epidemiological	epidemiological	ADJ
cord-186927-b8i85vo7	721	131	models	model	NOUN
cord-186927-b8i85vo7	721	132	impact	impact	NOUN
cord-186927-b8i85vo7	721	133	of	of	ADP
cord-186927-b8i85vo7	721	134	non	non	ADJ
cord-186927-b8i85vo7	721	135	-	-	ADJ
cord-186927-b8i85vo7	721	136	pharmaceutical	pharmaceutical	ADJ
cord-186927-b8i85vo7	721	137	interventions	intervention	NOUN
cord-186927-b8i85vo7	721	138	(	(	PUNCT
cord-186927-b8i85vo7	721	139	npis	npis	PROPN
cord-186927-b8i85vo7	721	140	)	)	PUNCT
cord-186927-b8i85vo7	721	141	to	to	PART
cord-186927-b8i85vo7	721	142	reduce	reduce	VERB
cord-186927-b8i85vo7	721	143	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	721	144	mortality	mortality	NOUN
cord-186927-b8i85vo7	721	145	and	and	CCONJ
cord-186927-b8i85vo7	721	146	healthcare	healthcare	NOUN
cord-186927-b8i85vo7	721	147	demand	demand	VERB
cord-186927-b8i85vo7	721	148	the	the	DET
cord-186927-b8i85vo7	721	149	effect	effect	NOUN
cord-186927-b8i85vo7	721	150	of	of	ADP
cord-186927-b8i85vo7	721	151	stay	stay	VERB
cord-186927-b8i85vo7	721	152	-	-	PUNCT
cord-186927-b8i85vo7	721	153	at	at	ADP
cord-186927-b8i85vo7	721	154	-	-	PUNCT
cord-186927-b8i85vo7	721	155	home	home	NOUN
cord-186927-b8i85vo7	721	156	orders	order	NOUN
cord-186927-b8i85vo7	721	157	on	on	ADP
cord-186927-b8i85vo7	721	158	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	721	159	infections	infection	NOUN
cord-186927-b8i85vo7	721	160	in	in	ADP
cord-186927-b8i85vo7	721	161	the	the	DET
cord-186927-b8i85vo7	721	162	united	united	PROPN
cord-186927-b8i85vo7	721	163	states	states	PROPN
cord-186927-b8i85vo7	721	164	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	721	165	of	of	ADP
cord-186927-b8i85vo7	721	166	a	a	DET
cord-186927-b8i85vo7	721	167	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	721	168	sis	sis	NOUN
cord-186927-b8i85vo7	721	169	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	721	170	model	model	NOUN
cord-186927-b8i85vo7	721	171	with	with	ADP
cord-186927-b8i85vo7	721	172	nonlinear	nonlinear	ADJ
cord-186927-b8i85vo7	721	173	incidence	incidence	NOUN
cord-186927-b8i85vo7	721	174	rates	rate	NOUN
cord-186927-b8i85vo7	721	175	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	721	176	optimization	optimization	NOUN
cord-186927-b8i85vo7	721	177	library	library	NOUN
cord-186927-b8i85vo7	721	178	in	in	ADP
cord-186927-b8i85vo7	721	179	c++	c++	PROPN
cord-186927-b8i85vo7	721	180	.	.	PUNCT
cord-186927-b8i85vo7	722	1	hal	hal	PROPN
cord-186927-b8i85vo7	722	2	preprint	preprint	VERB
cord-186927-b8i85vo7	722	3	hal-01361291	hal-01361291	NOUN
cord-186927-b8i85vo7	722	4	modelling	model	VERB
cord-186927-b8i85vo7	722	5	the	the	DET
cord-186927-b8i85vo7	722	6	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	722	7	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	722	8	and	and	CCONJ
cord-186927-b8i85vo7	722	9	implementation	implementation	NOUN
cord-186927-b8i85vo7	722	10	of	of	ADP
cord-186927-b8i85vo7	722	11	population	population	NOUN
cord-186927-b8i85vo7	722	12	-	-	PUNCT
cord-186927-b8i85vo7	722	13	wide	wide	ADJ
cord-186927-b8i85vo7	722	14	interventions	intervention	NOUN
cord-186927-b8i85vo7	722	15	in	in	ADP
cord-186927-b8i85vo7	722	16	italy	italy	PROPN
cord-186927-b8i85vo7	722	17	a	a	DET
cord-186927-b8i85vo7	722	18	model	model	NOUN
cord-186927-b8i85vo7	722	19	of	of	ADP
cord-186927-b8i85vo7	722	20	incentive	incentive	NOUN
cord-186927-b8i85vo7	722	21	compatibility	compatibility	NOUN
cord-186927-b8i85vo7	722	22	under	under	ADP
cord-186927-b8i85vo7	722	23	moral	moral	ADJ
cord-186927-b8i85vo7	722	24	hazard	hazard	NOUN
cord-186927-b8i85vo7	722	25	in	in	ADP
cord-186927-b8i85vo7	722	26	livestock	livestock	NOUN
cord-186927-b8i85vo7	722	27	disease	disease	NOUN
cord-186927-b8i85vo7	722	28	outbreak	outbreak	NOUN
cord-186927-b8i85vo7	722	29	response	response	NOUN
cord-186927-b8i85vo7	722	30	livestock	livestock	NOUN
cord-186927-b8i85vo7	722	31	disease	disease	NOUN
cord-186927-b8i85vo7	722	32	indemnity	indemnity	NOUN
cord-186927-b8i85vo7	722	33	design	design	NOUN
cord-186927-b8i85vo7	722	34	when	when	SCONJ
cord-186927-b8i85vo7	722	35	moral	moral	ADJ
cord-186927-b8i85vo7	722	36	hazard	hazard	NOUN
cord-186927-b8i85vo7	722	37	is	be	AUX
cord-186927-b8i85vo7	722	38	followed	follow	VERB
cord-186927-b8i85vo7	722	39	by	by	ADP
cord-186927-b8i85vo7	722	40	adverse	adverse	ADJ
cord-186927-b8i85vo7	722	41	selection	selection	NOUN
cord-186927-b8i85vo7	722	42	a	a	DET
cord-186927-b8i85vo7	722	43	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	722	44	differential	differential	ADJ
cord-186927-b8i85vo7	722	45	equation	equation	NOUN
cord-186927-b8i85vo7	722	46	sis	sis	NOUN
cord-186927-b8i85vo7	722	47	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	722	48	model	model	NOUN
cord-186927-b8i85vo7	722	49	on	on	ADP
cord-186927-b8i85vo7	722	50	the	the	DET
cord-186927-b8i85vo7	722	51	statistical	statistical	ADJ
cord-186927-b8i85vo7	722	52	measure	measure	NOUN
cord-186927-b8i85vo7	722	53	of	of	ADP
cord-186927-b8i85vo7	722	54	infectiousness	infectiousness	ADJ
cord-186927-b8i85vo7	722	55	optimal	optimal	ADJ
cord-186927-b8i85vo7	722	56	quarantine	quarantine	NOUN
cord-186927-b8i85vo7	722	57	strategies	strategy	NOUN
cord-186927-b8i85vo7	722	58	for	for	ADP
cord-186927-b8i85vo7	722	59	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	722	60	control	control	NOUN
cord-186927-b8i85vo7	722	61	models	model	NOUN
cord-186927-b8i85vo7	722	62	a	a	DET
cord-186927-b8i85vo7	722	63	model	model	NOUN
cord-186927-b8i85vo7	722	64	for	for	ADP
cord-186927-b8i85vo7	722	65	communicable	communicable	ADJ
cord-186927-b8i85vo7	722	66	disease	disease	NOUN
cord-186927-b8i85vo7	722	67	control	control	VERB
cord-186927-b8i85vo7	722	68	optimum	optimum	ADJ
cord-186927-b8i85vo7	722	69	control	control	NOUN
cord-186927-b8i85vo7	722	70	of	of	ADP
cord-186927-b8i85vo7	722	71	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	722	72	the	the	DET
cord-186927-b8i85vo7	722	73	milroy	milroy	PROPN
cord-186927-b8i85vo7	722	74	lectures	lecture	NOUN
cord-186927-b8i85vo7	722	75	on	on	ADP
cord-186927-b8i85vo7	722	76	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	722	77	disease	disease	NOUN
cord-186927-b8i85vo7	722	78	in	in	ADP
cord-186927-b8i85vo7	722	79	england	england	PROPN
cord-186927-b8i85vo7	723	1	-the	-the	DET
cord-186927-b8i85vo7	723	2	evidence	evidence	NOUN
cord-186927-b8i85vo7	723	3	of	of	ADP
cord-186927-b8i85vo7	723	4	variability	variability	NOUN
cord-186927-b8i85vo7	723	5	and	and	CCONJ
cord-186927-b8i85vo7	723	6	of	of	ADP
cord-186927-b8i85vo7	723	7	persistency	persistency	NOUN
cord-186927-b8i85vo7	723	8	of	of	ADP
cord-186927-b8i85vo7	723	9	type	type	NOUN
cord-186927-b8i85vo7	723	10	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	11	control	control	NOUN
cord-186927-b8i85vo7	723	12	of	of	ADP
cord-186927-b8i85vo7	723	13	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	14	with	with	ADP
cord-186927-b8i85vo7	723	15	limited	limited	ADJ
cord-186927-b8i85vo7	723	16	resources	resource	NOUN
cord-186927-b8i85vo7	723	17	trauma	trauma	NOUN
cord-186927-b8i85vo7	723	18	does	do	AUX
cord-186927-b8i85vo7	723	19	not	not	PART
cord-186927-b8i85vo7	723	20	quarantine	quarantine	VERB
cord-186927-b8i85vo7	723	21	:	:	PUNCT
cord-186927-b8i85vo7	723	22	violence	violence	NOUN
cord-186927-b8i85vo7	723	23	during	during	ADP
cord-186927-b8i85vo7	723	24	the	the	DET
cord-186927-b8i85vo7	723	25	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	723	26	pandemic	pandemic	ADJ
cord-186927-b8i85vo7	723	27	aggregation	aggregation	NOUN
cord-186927-b8i85vo7	723	28	and	and	CCONJ
cord-186927-b8i85vo7	723	29	linearity	linearity	NOUN
cord-186927-b8i85vo7	723	30	in	in	ADP
cord-186927-b8i85vo7	723	31	the	the	DET
cord-186927-b8i85vo7	723	32	provision	provision	NOUN
cord-186927-b8i85vo7	723	33	of	of	ADP
cord-186927-b8i85vo7	723	34	intertemporal	intertemporal	ADJ
cord-186927-b8i85vo7	723	35	incentives	incentive	NOUN
cord-186927-b8i85vo7	723	36	continuous	continuous	ADJ
cord-186927-b8i85vo7	723	37	-	-	PUNCT
cord-186927-b8i85vo7	723	38	time	time	NOUN
cord-186927-b8i85vo7	723	39	principal	principal	ADJ
cord-186927-b8i85vo7	723	40	-	-	PUNCT
cord-186927-b8i85vo7	723	41	agent	agent	NOUN
cord-186927-b8i85vo7	723	42	problem	problem	NOUN
cord-186927-b8i85vo7	723	43	in	in	ADP
cord-186927-b8i85vo7	723	44	degenerate	degenerate	ADJ
cord-186927-b8i85vo7	723	45	systems	system	NOUN
cord-186927-b8i85vo7	723	46	on	on	ADP
cord-186927-b8i85vo7	723	47	the	the	DET
cord-186927-b8i85vo7	723	48	responsible	responsible	ADJ
cord-186927-b8i85vo7	723	49	use	use	NOUN
cord-186927-b8i85vo7	723	50	of	of	ADP
cord-186927-b8i85vo7	723	51	digital	digital	ADJ
cord-186927-b8i85vo7	723	52	data	datum	NOUN
cord-186927-b8i85vo7	723	53	to	to	PART
cord-186927-b8i85vo7	723	54	tackle	tackle	VERB
cord-186927-b8i85vo7	723	55	the	the	DET
cord-186927-b8i85vo7	723	56	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	723	57	pandemic	pandemic	NOUN
cord-186927-b8i85vo7	723	58	a	a	DET
cord-186927-b8i85vo7	723	59	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	723	60	model	model	NOUN
cord-186927-b8i85vo7	723	61	for	for	ADP
cord-186927-b8i85vo7	723	62	the	the	DET
cord-186927-b8i85vo7	723	63	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	64	control	control	NOUN
cord-186927-b8i85vo7	723	65	of	of	ADP
cord-186927-b8i85vo7	723	66	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	67	and	and	CCONJ
cord-186927-b8i85vo7	723	68	pest	pest	NOUN
cord-186927-b8i85vo7	723	69	populations	population	NOUN
cord-186927-b8i85vo7	723	70	asymptotic	asymptotic	ADJ
cord-186927-b8i85vo7	723	71	behavior	behavior	NOUN
cord-186927-b8i85vo7	723	72	of	of	ADP
cord-186927-b8i85vo7	723	73	global	global	ADJ
cord-186927-b8i85vo7	723	74	positive	positive	ADJ
cord-186927-b8i85vo7	723	75	solution	solution	NOUN
cord-186927-b8i85vo7	723	76	to	to	ADP
cord-186927-b8i85vo7	723	77	a	a	DET
cord-186927-b8i85vo7	723	78	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	723	79	sir	sir	NOUN
cord-186927-b8i85vo7	723	80	model	model	NOUN
cord-186927-b8i85vo7	723	81	thucydes	thucyde	NOUN
cord-186927-b8i85vo7	723	82	translated	translate	VERB
cord-186927-b8i85vo7	723	83	into	into	ADP
cord-186927-b8i85vo7	723	84	english	english	PROPN
cord-186927-b8i85vo7	723	85	,	,	PUNCT
cord-186927-b8i85vo7	723	86	to	to	PART
cord-186927-b8i85vo7	723	87	which	which	PRON
cord-186927-b8i85vo7	723	88	is	be	AUX
cord-186927-b8i85vo7	723	89	prefixed	prefix	VERB
cord-186927-b8i85vo7	723	90	an	an	DET
cord-186927-b8i85vo7	723	91	essay	essay	NOUN
cord-186927-b8i85vo7	723	92	on	on	ADP
cord-186927-b8i85vo7	723	93	inscriptions	inscription	NOUN
cord-186927-b8i85vo7	723	94	and	and	CCONJ
cord-186927-b8i85vo7	723	95	a	a	DET
cord-186927-b8i85vo7	723	96	note	note	NOUN
cord-186927-b8i85vo7	723	97	on	on	ADP
cord-186927-b8i85vo7	723	98	the	the	DET
cord-186927-b8i85vo7	723	99	geography	geography	NOUN
cord-186927-b8i85vo7	723	100	of	of	ADP
cord-186927-b8i85vo7	723	101	thucydides	thucydide	NOUN
cord-186927-b8i85vo7	723	102	,	,	PUNCT
cord-186927-b8i85vo7	723	103	volume	volume	NOUN
cord-186927-b8i85vo7	723	104	i	i	PRON
cord-186927-b8i85vo7	723	105	how	how	SCONJ
cord-186927-b8i85vo7	723	106	to	to	PART
cord-186927-b8i85vo7	723	107	run	run	VERB
cord-186927-b8i85vo7	723	108	a	a	DET
cord-186927-b8i85vo7	723	109	campaign	campaign	NOUN
cord-186927-b8i85vo7	723	110	:	:	PUNCT
cord-186927-b8i85vo7	723	111	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	112	control	control	NOUN
cord-186927-b8i85vo7	723	113	of	of	ADP
cord-186927-b8i85vo7	723	114	sis	sis	NOUN
cord-186927-b8i85vo7	723	115	and	and	CCONJ
cord-186927-b8i85vo7	723	116	sir	sir	PROPN
cord-186927-b8i85vo7	723	117	information	information	NOUN
cord-186927-b8i85vo7	723	118	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	119	beyond	beyond	ADP
cord-186927-b8i85vo7	723	120	just	just	ADV
cord-186927-b8i85vo7	723	121	"	"	PUNCT
cord-186927-b8i85vo7	723	122	flattening	flatten	VERB
cord-186927-b8i85vo7	723	123	the	the	DET
cord-186927-b8i85vo7	723	124	curve	curve	NOUN
cord-186927-b8i85vo7	723	125	"	"	PUNCT
cord-186927-b8i85vo7	723	126	:	:	PUNCT
cord-186927-b8i85vo7	723	127	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	128	control	control	NOUN
cord-186927-b8i85vo7	723	129	of	of	ADP
cord-186927-b8i85vo7	723	130	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	131	with	with	ADP
cord-186927-b8i85vo7	723	132	purely	purely	ADV
cord-186927-b8i85vo7	723	133	non	non	ADJ
cord-186927-b8i85vo7	723	134	-	-	ADJ
cord-186927-b8i85vo7	723	135	pharmaceutical	pharmaceutical	ADJ
cord-186927-b8i85vo7	723	136	interventions	intervention	NOUN
cord-186927-b8i85vo7	723	137	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	723	138	and	and	CCONJ
cord-186927-b8i85vo7	723	139	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	723	140	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	141	in	in	ADP
cord-186927-b8i85vo7	723	142	closed	closed	ADJ
cord-186927-b8i85vo7	723	143	populations	population	NOUN
cord-186927-b8i85vo7	723	144	a	a	DET
cord-186927-b8i85vo7	723	145	contribution	contribution	NOUN
cord-186927-b8i85vo7	723	146	to	to	ADP
cord-186927-b8i85vo7	723	147	the	the	DET
cord-186927-b8i85vo7	723	148	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	723	149	theory	theory	NOUN
cord-186927-b8i85vo7	723	150	of	of	ADP
cord-186927-b8i85vo7	723	151	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	723	152	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	153	control	control	NOUN
cord-186927-b8i85vo7	723	154	of	of	ADP
cord-186927-b8i85vo7	723	155	an	an	DET
cord-186927-b8i85vo7	723	156	sir	sir	NOUN
cord-186927-b8i85vo7	723	157	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	723	158	through	through	ADP
cord-186927-b8i85vo7	723	159	finite	finite	PROPN
cord-186927-b8i85vo7	723	160	-	-	PUNCT
cord-186927-b8i85vo7	723	161	time	time	NOUN
cord-186927-b8i85vo7	723	162	non	non	ADJ
cord-186927-b8i85vo7	723	163	-	-	ADJ
cord-186927-b8i85vo7	723	164	pharmaceutical	pharmaceutical	ADJ
cord-186927-b8i85vo7	723	165	intervention	intervention	NOUN
cord-186927-b8i85vo7	723	166	regulation	regulation	NOUN
cord-186927-b8i85vo7	723	167	of	of	ADP
cord-186927-b8i85vo7	723	168	renewable	renewable	ADJ
cord-186927-b8i85vo7	723	169	resource	resource	NOUN
cord-186927-b8i85vo7	723	170	exploitation	exploitation	NOUN
cord-186927-b8i85vo7	723	171	on	on	ADP
cord-186927-b8i85vo7	723	172	the	the	DET
cord-186927-b8i85vo7	723	173	extinction	extinction	NOUN
cord-186927-b8i85vo7	723	174	of	of	ADP
cord-186927-b8i85vo7	723	175	the	the	DET
cord-186927-b8i85vo7	723	176	s	s	PROPN
cord-186927-b8i85vo7	723	177	-	-	PUNCT
cord-186927-b8i85vo7	723	178	i	i	NOUN
cord-186927-b8i85vo7	723	179	-	-	PUNCT
cord-186927-b8i85vo7	723	180	s	s	PART
cord-186927-b8i85vo7	723	181	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	723	182	logistic	logistic	ADJ
cord-186927-b8i85vo7	723	183	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	723	184	the	the	DET
cord-186927-b8i85vo7	723	185	theory	theory	NOUN
cord-186927-b8i85vo7	723	186	of	of	ADP
cord-186927-b8i85vo7	723	187	incentives	incentive	NOUN
cord-186927-b8i85vo7	723	188	:	:	PUNCT
cord-186927-b8i85vo7	723	189	the	the	DET
cord-186927-b8i85vo7	723	190	principal	principal	ADJ
cord-186927-b8i85vo7	723	191	-	-	PUNCT
cord-186927-b8i85vo7	723	192	agent	agent	NOUN
cord-186927-b8i85vo7	723	193	model	model	NOUN
cord-186927-b8i85vo7	723	194	optimal	optimal	ADJ
cord-186927-b8i85vo7	723	195	control	control	NOUN
cord-186927-b8i85vo7	723	196	applied	apply	VERB
cord-186927-b8i85vo7	723	197	to	to	ADP
cord-186927-b8i85vo7	723	198	biological	biological	ADJ
cord-186927-b8i85vo7	723	199	models	model	NOUN
cord-186927-b8i85vo7	723	200	.	.	PUNCT
cord-186927-b8i85vo7	724	1	mathematical	mathematical	ADJ
cord-186927-b8i85vo7	724	2	and	and	CCONJ
cord-186927-b8i85vo7	724	3	computational	computational	ADJ
cord-186927-b8i85vo7	724	4	biology	biology	NOUN
cord-186927-b8i85vo7	724	5	series	series	NOUN
cord-186927-b8i85vo7	724	6	early	early	ADJ
cord-186927-b8i85vo7	724	7	transmission	transmission	NOUN
cord-186927-b8i85vo7	724	8	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	724	9	in	in	ADP
cord-186927-b8i85vo7	724	10	wuhan	wuhan	PROPN
cord-186927-b8i85vo7	724	11	,	,	PUNCT
cord-186927-b8i85vo7	724	12	china	china	PROPN
cord-186927-b8i85vo7	724	13	,	,	PUNCT
cord-186927-b8i85vo7	724	14	of	of	ADP
cord-186927-b8i85vo7	724	15	novel	novel	ADJ
cord-186927-b8i85vo7	724	16	coronavirus	coronavirus	NOUN
cord-186927-b8i85vo7	724	17	-	-	PUNCT
cord-186927-b8i85vo7	724	18	infected	infect	VERB
cord-186927-b8i85vo7	724	19	pneumonia	pneumonia	NOUN
cord-186927-b8i85vo7	724	20	second	second	ADJ
cord-186927-b8i85vo7	724	21	order	order	NOUN
cord-186927-b8i85vo7	724	22	backward	backward	ADV
cord-186927-b8i85vo7	724	23	sde	sde	PROPN
cord-186927-b8i85vo7	724	24	with	with	ADP
cord-186927-b8i85vo7	724	25	random	random	ADJ
cord-186927-b8i85vo7	724	26	terminal	terminal	ADJ
cord-186927-b8i85vo7	724	27	time	time	NOUN
cord-186927-b8i85vo7	724	28	random	random	ADJ
cord-186927-b8i85vo7	724	29	horizon	horizon	NOUN
cord-186927-b8i85vo7	724	30	principal	principal	ADJ
cord-186927-b8i85vo7	724	31	-	-	PUNCT
cord-186927-b8i85vo7	724	32	agent	agent	NOUN
cord-186927-b8i85vo7	724	33	problem	problem	NOUN
cord-186927-b8i85vo7	724	34	principal	principal	ADJ
cord-186927-b8i85vo7	724	35	-	-	PUNCT
cord-186927-b8i85vo7	724	36	agent	agent	NOUN
cord-186927-b8i85vo7	724	37	problem	problem	NOUN
cord-186927-b8i85vo7	724	38	with	with	ADP
cord-186927-b8i85vo7	724	39	common	common	ADJ
cord-186927-b8i85vo7	724	40	agency	agency	NOUN
cord-186927-b8i85vo7	724	41	without	without	ADP
cord-186927-b8i85vo7	724	42	communication	communication	NOUN
cord-186927-b8i85vo7	724	43	applications	application	NOUN
cord-186927-b8i85vo7	724	44	of	of	ADP
cord-186927-b8i85vo7	724	45	mathematics	mathematic	NOUN
cord-186927-b8i85vo7	724	46	to	to	ADP
cord-186927-b8i85vo7	724	47	medical	medical	ADJ
cord-186927-b8i85vo7	724	48	problems	problem	NOUN
cord-186927-b8i85vo7	724	49	the	the	DET
cord-186927-b8i85vo7	724	50	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	724	51	of	of	ADP
cord-186927-b8i85vo7	724	52	crowd	crowd	NOUN
cord-186927-b8i85vo7	724	53	infection	infection	NOUN
cord-186927-b8i85vo7	724	54	on	on	ADP
cord-186927-b8i85vo7	724	55	the	the	DET
cord-186927-b8i85vo7	724	56	optimal	optimal	ADJ
cord-186927-b8i85vo7	724	57	control	control	NOUN
cord-186927-b8i85vo7	724	58	of	of	ADP
cord-186927-b8i85vo7	724	59	a	a	DET
cord-186927-b8i85vo7	724	60	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	724	61	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	724	62	parameter	parameter	NOUN
cord-186927-b8i85vo7	724	63	identification	identification	NOUN
cord-186927-b8i85vo7	724	64	for	for	ADP
cord-186927-b8i85vo7	724	65	a	a	DET
cord-186927-b8i85vo7	724	66	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	724	67	seirs	seirs	ADJ
cord-186927-b8i85vo7	724	68	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	724	69	model	model	NOUN
cord-186927-b8i85vo7	724	70	:	:	PUNCT
cord-186927-b8i85vo7	724	71	case	case	NOUN
cord-186927-b8i85vo7	724	72	study	study	NOUN
cord-186927-b8i85vo7	724	73	influenza	influenza	NOUN
cord-186927-b8i85vo7	724	74	the	the	DET
cord-186927-b8i85vo7	724	75	quasi	quasi	ADJ
cord-186927-b8i85vo7	724	76	-	-	ADJ
cord-186927-b8i85vo7	724	77	stationary	stationary	ADJ
cord-186927-b8i85vo7	724	78	distribution	distribution	NOUN
cord-186927-b8i85vo7	724	79	of	of	ADP
cord-186927-b8i85vo7	724	80	the	the	DET
cord-186927-b8i85vo7	724	81	closed	closed	ADJ
cord-186927-b8i85vo7	724	82	endemic	endemic	ADJ
cord-186927-b8i85vo7	724	83	sis	sis	NOUN
cord-186927-b8i85vo7	724	84	model	model	NOUN
cord-186927-b8i85vo7	724	85	on	on	ADP
cord-186927-b8i85vo7	724	86	the	the	DET
cord-186927-b8i85vo7	724	87	quasi	quasi	ADJ
cord-186927-b8i85vo7	724	88	-	-	ADJ
cord-186927-b8i85vo7	724	89	stationary	stationary	ADJ
cord-186927-b8i85vo7	724	90	distribution	distribution	NOUN
cord-186927-b8i85vo7	724	91	of	of	ADP
cord-186927-b8i85vo7	724	92	the	the	DET
cord-186927-b8i85vo7	724	93	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	724	94	logistic	logistic	ADJ
cord-186927-b8i85vo7	724	95	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	724	96	measurability	measurability	NOUN
cord-186927-b8i85vo7	724	97	of	of	ADP
cord-186927-b8i85vo7	724	98	semimartingale	semimartingale	ADJ
cord-186927-b8i85vo7	724	99	characteristics	characteristic	NOUN
cord-186927-b8i85vo7	724	100	with	with	ADP
cord-186927-b8i85vo7	724	101	respect	respect	NOUN
cord-186927-b8i85vo7	724	102	to	to	ADP
cord-186927-b8i85vo7	724	103	the	the	DET
cord-186927-b8i85vo7	724	104	probability	probability	NOUN
cord-186927-b8i85vo7	724	105	law	law	NOUN
cord-186927-b8i85vo7	724	106	pathwise	pathwise	NOUN
cord-186927-b8i85vo7	724	107	construction	construction	NOUN
cord-186927-b8i85vo7	724	108	of	of	ADP
cord-186927-b8i85vo7	724	109	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	724	110	integrals	integral	VERB
cord-186927-b8i85vo7	724	111	information	information	NOUN
cord-186927-b8i85vo7	724	112	technology	technology	NOUN
cord-186927-b8i85vo7	724	113	-	-	PUNCT
cord-186927-b8i85vo7	724	114	based	base	VERB
cord-186927-b8i85vo7	724	115	tracing	trace	VERB
cord-186927-b8i85vo7	724	116	strategy	strategy	NOUN
cord-186927-b8i85vo7	724	117	in	in	ADP
cord-186927-b8i85vo7	724	118	response	response	NOUN
cord-186927-b8i85vo7	724	119	to	to	ADP
cord-186927-b8i85vo7	724	120	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	724	121	in	in	ADP
cord-186927-b8i85vo7	724	122	south	south	PROPN
cord-186927-b8i85vo7	724	123	korea	korea	PROPN
cord-186927-b8i85vo7	724	124	-privacy	-privacy	PROPN
cord-186927-b8i85vo7	725	1	controversies	controversy	NOUN
cord-186927-b8i85vo7	725	2	the	the	DET
cord-186927-b8i85vo7	725	3	optimal	optimal	ADJ
cord-186927-b8i85vo7	725	4	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	725	5	quarantine	quarantine	NOUN
cord-186927-b8i85vo7	725	6	and	and	CCONJ
cord-186927-b8i85vo7	725	7	testing	testing	NOUN
cord-186927-b8i85vo7	725	8	policies	policy	NOUN
cord-186927-b8i85vo7	725	9	an	an	DET
cord-186927-b8i85vo7	725	10	explicit	explicit	ADJ
cord-186927-b8i85vo7	725	11	optimal	optimal	ADJ
cord-186927-b8i85vo7	725	12	intervention	intervention	NOUN
cord-186927-b8i85vo7	725	13	policy	policy	NOUN
cord-186927-b8i85vo7	725	14	for	for	ADP
cord-186927-b8i85vo7	725	15	a	a	DET
cord-186927-b8i85vo7	725	16	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	725	17	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	725	18	model	model	NOUN
cord-186927-b8i85vo7	725	19	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	725	20	control	control	NOUN
cord-186927-b8i85vo7	725	21	for	for	ADP
cord-186927-b8i85vo7	725	22	a	a	DET
cord-186927-b8i85vo7	725	23	class	class	NOUN
cord-186927-b8i85vo7	725	24	of	of	ADP
cord-186927-b8i85vo7	725	25	nonlinear	nonlinear	ADJ
cord-186927-b8i85vo7	725	26	kernels	kernel	NOUN
cord-186927-b8i85vo7	725	27	and	and	CCONJ
cord-186927-b8i85vo7	725	28	applications	application	NOUN
cord-186927-b8i85vo7	725	29	.	.	PUNCT
cord-186927-b8i85vo7	726	1	the	the	DET
cord-186927-b8i85vo7	726	2	annals	annal	NOUN
cord-186927-b8i85vo7	726	3	of	of	ADP
cord-186927-b8i85vo7	726	4	probability	probability	NOUN
cord-186927-b8i85vo7	726	5	privacy	privacy	NOUN
cord-186927-b8i85vo7	726	6	-	-	PUNCT
cord-186927-b8i85vo7	726	7	preserving	preserve	VERB
cord-186927-b8i85vo7	726	8	contact	contact	NOUN
cord-186927-b8i85vo7	726	9	tracing	trace	VERB
cord-186927-b8i85vo7	726	10	of	of	ADP
cord-186927-b8i85vo7	726	11	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	726	12	patients	patient	NOUN
cord-186927-b8i85vo7	726	13	transmission	transmission	NOUN
cord-186927-b8i85vo7	726	14	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	726	15	of	of	ADP
cord-186927-b8i85vo7	726	16	the	the	DET
cord-186927-b8i85vo7	726	17	etiological	etiological	ADJ
cord-186927-b8i85vo7	726	18	agent	agent	NOUN
cord-186927-b8i85vo7	726	19	of	of	ADP
cord-186927-b8i85vo7	726	20	sars	sar	NOUN
cord-186927-b8i85vo7	726	21	in	in	ADP
cord-186927-b8i85vo7	726	22	hong	hong	PROPN
cord-186927-b8i85vo7	726	23	kong	kong	PROPN
cord-186927-b8i85vo7	726	24	:	:	PUNCT
cord-186927-b8i85vo7	726	25	impact	impact	NOUN
cord-186927-b8i85vo7	726	26	of	of	ADP
cord-186927-b8i85vo7	726	27	public	public	ADJ
cord-186927-b8i85vo7	726	28	health	health	NOUN
cord-186927-b8i85vo7	726	29	interventions	intervention	NOUN
cord-186927-b8i85vo7	726	30	the	the	DET
cord-186927-b8i85vo7	726	31	prevention	prevention	NOUN
cord-186927-b8i85vo7	726	32	of	of	ADP
cord-186927-b8i85vo7	726	33	malaria	malaria	NOUN
cord-186927-b8i85vo7	726	34	some	some	PRON
cord-186927-b8i85vo7	726	35	a	a	DET
cord-186927-b8i85vo7	726	36	priori	priori	ADJ
cord-186927-b8i85vo7	726	37	pathometric	pathometric	ADJ
cord-186927-b8i85vo7	726	38	equations	equation	NOUN
cord-186927-b8i85vo7	726	39	an	an	DET
cord-186927-b8i85vo7	726	40	application	application	NOUN
cord-186927-b8i85vo7	726	41	of	of	ADP
cord-186927-b8i85vo7	726	42	the	the	DET
cord-186927-b8i85vo7	726	43	theory	theory	NOUN
cord-186927-b8i85vo7	726	44	of	of	ADP
cord-186927-b8i85vo7	726	45	probabilities	probability	NOUN
cord-186927-b8i85vo7	726	46	to	to	ADP
cord-186927-b8i85vo7	726	47	the	the	DET
cord-186927-b8i85vo7	726	48	study	study	NOUN
cord-186927-b8i85vo7	726	49	of	of	ADP
cord-186927-b8i85vo7	726	50	a	a	DET
cord-186927-b8i85vo7	726	51	priori	priori	ADJ
cord-186927-b8i85vo7	726	52	pathometry	pathometry	NOUN
cord-186927-b8i85vo7	726	53	-part	-part	PROPN
cord-186927-b8i85vo7	727	1	i	i	PRON
cord-186927-b8i85vo7	727	2	the	the	DET
cord-186927-b8i85vo7	727	3	economics	economic	NOUN
cord-186927-b8i85vo7	727	4	of	of	ADP
cord-186927-b8i85vo7	727	5	contracts	contract	NOUN
cord-186927-b8i85vo7	727	6	:	:	PUNCT
cord-186927-b8i85vo7	727	7	a	a	DET
cord-186927-b8i85vo7	727	8	primer	primer	NOUN
cord-186927-b8i85vo7	727	9	quantitative	quantitative	ADJ
cord-186927-b8i85vo7	727	10	guidelines	guideline	NOUN
cord-186927-b8i85vo7	727	11	for	for	ADP
cord-186927-b8i85vo7	727	12	communicable	communicable	ADJ
cord-186927-b8i85vo7	727	13	disease	disease	NOUN
cord-186927-b8i85vo7	727	14	control	control	NOUN
cord-186927-b8i85vo7	727	15	programs	program	NOUN
cord-186927-b8i85vo7	727	16	a	a	DET
cord-186927-b8i85vo7	727	17	continuous	continuous	ADJ
cord-186927-b8i85vo7	727	18	-	-	PUNCT
cord-186927-b8i85vo7	727	19	time	time	NOUN
cord-186927-b8i85vo7	727	20	version	version	NOUN
cord-186927-b8i85vo7	727	21	of	of	ADP
cord-186927-b8i85vo7	727	22	the	the	DET
cord-186927-b8i85vo7	727	23	principal	principal	ADJ
cord-186927-b8i85vo7	727	24	-	-	PUNCT
cord-186927-b8i85vo7	727	25	agent	agent	NOUN
cord-186927-b8i85vo7	727	26	problem	problem	NOUN
cord-186927-b8i85vo7	727	27	calculating	calculate	VERB
cord-186927-b8i85vo7	727	28	qalys	qalys	ADV
cord-186927-b8i85vo7	727	29	,	,	PUNCT
cord-186927-b8i85vo7	727	30	comparing	compare	VERB
cord-186927-b8i85vo7	727	31	qaly	qaly	PROPN
cord-186927-b8i85vo7	727	32	and	and	CCONJ
cord-186927-b8i85vo7	727	33	daly	daly	PROPN
cord-186927-b8i85vo7	727	34	calculations	calculation	NOUN
cord-186927-b8i85vo7	727	35	the	the	DET
cord-186927-b8i85vo7	727	36	first	first	ADJ
cord-186927-b8i85vo7	727	37	-	-	PUNCT
cord-186927-b8i85vo7	727	38	order	order	NOUN
cord-186927-b8i85vo7	727	39	approach	approach	NOUN
cord-186927-b8i85vo7	727	40	to	to	ADP
cord-186927-b8i85vo7	727	41	the	the	DET
cord-186927-b8i85vo7	727	42	continuous	continuous	ADJ
cord-186927-b8i85vo7	727	43	-	-	PUNCT
cord-186927-b8i85vo7	727	44	time	time	NOUN
cord-186927-b8i85vo7	727	45	principal	principal	ADJ
cord-186927-b8i85vo7	727	46	-	-	PUNCT
cord-186927-b8i85vo7	727	47	agent	agent	NOUN
cord-186927-b8i85vo7	727	48	problem	problem	NOUN
cord-186927-b8i85vo7	727	49	with	with	ADP
cord-186927-b8i85vo7	727	50	exponential	exponential	ADJ
cord-186927-b8i85vo7	727	51	utility	utility	NOUN
cord-186927-b8i85vo7	727	52	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	727	53	control	control	NOUN
cord-186927-b8i85vo7	727	54	of	of	ADP
cord-186927-b8i85vo7	727	55	modern	modern	ADJ
cord-186927-b8i85vo7	727	56	,	,	PUNCT
cord-186927-b8i85vo7	727	57	network	network	NOUN
cord-186927-b8i85vo7	727	58	-	-	PUNCT
cord-186927-b8i85vo7	727	59	based	base	VERB
cord-186927-b8i85vo7	727	60	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	727	61	models	model	NOUN
cord-186927-b8i85vo7	727	62	optimal	optimal	ADJ
cord-186927-b8i85vo7	727	63	control	control	NOUN
cord-186927-b8i85vo7	727	64	of	of	ADP
cord-186927-b8i85vo7	727	65	some	some	DET
cord-186927-b8i85vo7	727	66	simple	simple	ADJ
cord-186927-b8i85vo7	727	67	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	727	68	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	727	69	models	model	NOUN
cord-186927-b8i85vo7	727	70	the	the	DET
cord-186927-b8i85vo7	727	71	interpretation	interpretation	NOUN
cord-186927-b8i85vo7	727	72	of	of	ADP
cord-186927-b8i85vo7	727	73	periodicity	periodicity	NOUN
cord-186927-b8i85vo7	727	74	in	in	ADP
cord-186927-b8i85vo7	727	75	disease	disease	NOUN
cord-186927-b8i85vo7	727	76	prevalence	prevalence	NOUN
cord-186927-b8i85vo7	727	77	multidimensional	multidimensional	ADJ
cord-186927-b8i85vo7	727	78	diffusion	diffusion	NOUN
cord-186927-b8i85vo7	727	79	processes	process	VERB
cord-186927-b8i85vo7	727	80	some	some	DET
cord-186927-b8i85vo7	727	81	models	model	NOUN
cord-186927-b8i85vo7	727	82	in	in	ADP
cord-186927-b8i85vo7	727	83	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	727	84	control	control	NOUN
cord-186927-b8i85vo7	727	85	the	the	DET
cord-186927-b8i85vo7	727	86	benefits	benefit	NOUN
cord-186927-b8i85vo7	727	87	and	and	CCONJ
cord-186927-b8i85vo7	727	88	costs	cost	NOUN
cord-186927-b8i85vo7	727	89	of	of	ADP
cord-186927-b8i85vo7	727	90	using	use	VERB
cord-186927-b8i85vo7	727	91	social	social	ADJ
cord-186927-b8i85vo7	727	92	distancing	distancing	NOUN
cord-186927-b8i85vo7	727	93	to	to	PART
cord-186927-b8i85vo7	727	94	flatten	flatten	VERB
cord-186927-b8i85vo7	727	95	the	the	DET
cord-186927-b8i85vo7	727	96	curve	curve	NOUN
cord-186927-b8i85vo7	727	97	for	for	ADP
cord-186927-b8i85vo7	727	98	covid-19	covid-19	PUNCT
cord-186927-b8i85vo7	727	99	susceptible	susceptible	ADJ
cord-186927-b8i85vo7	727	100	-	-	PUNCT
cord-186927-b8i85vo7	727	101	infected	infect	VERB
cord-186927-b8i85vo7	727	102	-	-	PUNCT
cord-186927-b8i85vo7	727	103	recovered	recover	VERB
cord-186927-b8i85vo7	727	104	(	(	PUNCT
cord-186927-b8i85vo7	727	105	sir	sir	PROPN
cord-186927-b8i85vo7	727	106	)	)	PUNCT
cord-186927-b8i85vo7	727	107	dynamics	dynamic	NOUN
cord-186927-b8i85vo7	727	108	of	of	ADP
cord-186927-b8i85vo7	727	109	covid-19	covid-19	NUM
cord-186927-b8i85vo7	727	110	and	and	CCONJ
cord-186927-b8i85vo7	727	111	economic	economic	ADJ
cord-186927-b8i85vo7	727	112	impact	impact	NOUN
cord-186927-b8i85vo7	727	113	stability	stability	NOUN
cord-186927-b8i85vo7	727	114	of	of	ADP
cord-186927-b8i85vo7	727	115	a	a	DET
cord-186927-b8i85vo7	727	116	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	727	117	sir	sir	NOUN
cord-186927-b8i85vo7	727	118	system	system	NOUN
cord-186927-b8i85vo7	727	119	incentive	incentive	NOUN
cord-186927-b8i85vo7	727	120	systems	system	NOUN
cord-186927-b8i85vo7	727	121	under	under	ADP
cord-186927-b8i85vo7	727	122	ex	ex	NOUN
cord-186927-b8i85vo7	727	123	post	post	X
cord-186927-b8i85vo7	727	124	moral	moral	ADJ
cord-186927-b8i85vo7	727	125	hazard	hazard	NOUN
cord-186927-b8i85vo7	727	126	to	to	PART
cord-186927-b8i85vo7	727	127	control	control	VERB
cord-186927-b8i85vo7	727	128	outbreaks	outbreak	NOUN
cord-186927-b8i85vo7	727	129	of	of	ADP
cord-186927-b8i85vo7	727	130	classical	classical	ADJ
cord-186927-b8i85vo7	727	131	swine	swine	NOUN
cord-186927-b8i85vo7	727	132	fever	fever	NOUN
cord-186927-b8i85vo7	727	133	in	in	ADP
cord-186927-b8i85vo7	727	134	the	the	DET
cord-186927-b8i85vo7	727	135	netherlands	netherlands	PROPN
cord-186927-b8i85vo7	727	136	some	some	DET
cord-186927-b8i85vo7	727	137	non	non	ADJ
cord-186927-b8i85vo7	727	138	-	-	ADJ
cord-186927-b8i85vo7	727	139	monotone	monotone	ADJ
cord-186927-b8i85vo7	727	140	schemes	scheme	NOUN
cord-186927-b8i85vo7	727	141	for	for	ADP
cord-186927-b8i85vo7	727	142	time	time	NOUN
cord-186927-b8i85vo7	727	143	dependent	dependent	ADJ
cord-186927-b8i85vo7	727	144	hamilton	hamilton	PROPN
cord-186927-b8i85vo7	727	145	-	-	PUNCT
cord-186927-b8i85vo7	727	146	jacobi	jacobi	PROPN
cord-186927-b8i85vo7	727	147	-	-	PUNCT
cord-186927-b8i85vo7	727	148	bellman	bellman	PROPN
cord-186927-b8i85vo7	727	149	equations	equation	NOUN
cord-186927-b8i85vo7	727	150	in	in	ADP
cord-186927-b8i85vo7	727	151	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	727	152	control	control	NOUN
cord-186927-b8i85vo7	727	153	on	on	ADP
cord-186927-b8i85vo7	727	154	the	the	DET
cord-186927-b8i85vo7	727	155	asymptotic	asymptotic	ADJ
cord-186927-b8i85vo7	727	156	behavior	behavior	NOUN
cord-186927-b8i85vo7	727	157	of	of	ADP
cord-186927-b8i85vo7	727	158	the	the	DET
cord-186927-b8i85vo7	727	159	stochastic	stochastic	NOUN
cord-186927-b8i85vo7	727	160	and	and	CCONJ
cord-186927-b8i85vo7	727	161	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	727	162	models	model	NOUN
cord-186927-b8i85vo7	727	163	of	of	ADP
cord-186927-b8i85vo7	727	164	an	an	DET
cord-186927-b8i85vo7	727	165	epidemic	epidemic	ADJ
cord-186927-b8i85vo7	727	166	optimal	optimal	ADJ
cord-186927-b8i85vo7	727	167	isolation	isolation	NOUN
cord-186927-b8i85vo7	727	168	policies	policy	NOUN
cord-186927-b8i85vo7	727	169	for	for	ADP
cord-186927-b8i85vo7	727	170	deterministic	deterministic	ADJ
cord-186927-b8i85vo7	727	171	and	and	CCONJ
cord-186927-b8i85vo7	727	172	stochastic	stochastic	ADJ
cord-186927-b8i85vo7	727	173	epidemics	epidemic	NOUN
cord-186927-b8i85vo7	727	174	can	can	AUX
cord-186927-b8i85vo7	727	175	we	we	PRON
cord-186927-b8i85vo7	727	176	contain	contain	VERB
cord-186927-b8i85vo7	727	177	the	the	DET
cord-186927-b8i85vo7	727	178	covid-19	covid-19	PROPN
cord-186927-b8i85vo7	727	179	outbreak	outbreak	NOUN
cord-186927-b8i85vo7	727	180	with	with	ADP
cord-186927-b8i85vo7	727	181	the	the	DET
cord-186927-b8i85vo7	727	182	same	same	ADJ
cord-186927-b8i85vo7	727	183	measures	measure	NOUN
cord-186927-b8i85vo7	727	184	as	as	ADP
cord-186927-b8i85vo7	727	185	for	for	ADP
cord-186927-b8i85vo7	727	186	sars	sar	NOUN
cord-186927-b8i85vo7	727	187	?	?	PUNCT
cord-186927-b8i85vo7	728	1	on	on	ADP
cord-186927-b8i85vo7	728	2	dynamic	dynamic	ADJ
cord-186927-b8i85vo7	728	3	principal	principal	ADJ
cord-186927-b8i85vo7	728	4	-	-	PUNCT
cord-186927-b8i85vo7	728	5	agent	agent	NOUN
cord-186927-b8i85vo7	728	6	problems	problem	NOUN
cord-186927-b8i85vo7	728	7	in	in	ADP
cord-186927-b8i85vo7	728	8	continuous	continuous	ADJ
cord-186927-b8i85vo7	728	9	time	time	NOUN
cord-186927-b8i85vo7	728	10	where	where	SCONJ
cord-186927-b8i85vo7	728	11	now	now	ADV
cord-186927-b8i85vo7	728	12	for	for	ADP
cord-186927-b8i85vo7	728	13	saving	save	VERB
cord-186927-b8i85vo7	728	14	lives	life	NOUN
cord-186927-b8i85vo7	728	15	?	?	PUNCT
cord-186927-b8i85vo7	729	1	law	law	NOUN
cord-186927-b8i85vo7	729	2	and	and	CCONJ
cord-186927-b8i85vo7	729	3	contemporary	contemporary	ADJ
cord-186927-b8i85vo7	729	4	problems	problem	NOUN
cord-186927-b8i85vo7	729	5	epidemic	epidemic	NOUN
cord-186927-b8i85vo7	729	6	spreading	spread	VERB
cord-186927-b8i85vo7	729	7	on	on	ADP
cord-186927-b8i85vo7	729	8	a	a	DET
cord-186927-b8i85vo7	729	9	complex	complex	ADJ
cord-186927-b8i85vo7	729	10	network	network	NOUN
cord-186927-b8i85vo7	729	11	with	with	ADP
cord-186927-b8i85vo7	729	12	partial	partial	ADJ
cord-186927-b8i85vo7	729	13	immunization	immunization	NOUN
