id	sid	tid	token	lemma	pos
cord-121428-79wyxedn	1	1	key	key	ADJ
cord-121428-79wyxedn	1	2	:	:	PUNCT
cord-121428-79wyxedn	1	3	cord-121428	cord-121428	NOUN
cord-121428-79wyxedn	1	4	-	-	PUNCT
cord-121428-79wyxedn	1	5	79wyxedn	79wyxedn	NUM
cord-121428-79wyxedn	1	6	authors	author	NOUN
cord-121428-79wyxedn	1	7	:	:	PUNCT
cord-121428-79wyxedn	1	8	dimarco	dimarco	PROPN
cord-121428-79wyxedn	1	9	,	,	PUNCT
cord-121428-79wyxedn	1	10	g.	g.	PROPN
cord-121428-79wyxedn	1	11	;	;	PUNCT
cord-121428-79wyxedn	1	12	perthame	perthame	PROPN
cord-121428-79wyxedn	1	13	,	,	PUNCT
cord-121428-79wyxedn	1	14	b.	b.	PROPN
cord-121428-79wyxedn	1	15	;	;	PUNCT
cord-121428-79wyxedn	1	16	toscani	toscani	PROPN
cord-121428-79wyxedn	1	17	,	,	PUNCT
cord-121428-79wyxedn	1	18	g.	g.	PROPN
cord-121428-79wyxedn	1	19	;	;	PUNCT
cord-121428-79wyxedn	1	20	zanella	zanella	PROPN
cord-121428-79wyxedn	1	21	,	,	PUNCT
cord-121428-79wyxedn	1	22	m.	m.	NOUN
cord-121428-79wyxedn	1	23	title	title	PROPN
cord-121428-79wyxedn	1	24	:	:	PUNCT
cord-121428-79wyxedn	1	25	social	social	ADJ
cord-121428-79wyxedn	1	26	contacts	contact	NOUN
cord-121428-79wyxedn	1	27	and	and	CCONJ
cord-121428-79wyxedn	1	28	the	the	DET
cord-121428-79wyxedn	1	29	spread	spread	NOUN
cord-121428-79wyxedn	1	30	of	of	ADP
cord-121428-79wyxedn	1	31	infectious	infectious	ADJ
cord-121428-79wyxedn	1	32	diseases	disease	NOUN
cord-121428-79wyxedn	1	33	date	date	NOUN
cord-121428-79wyxedn	1	34	:	:	PUNCT
cord-121428-79wyxedn	1	35	2020	2020	NUM
cord-121428-79wyxedn	1	36	-	-	SYM
cord-121428-79wyxedn	1	37	09	09	NUM
cord-121428-79wyxedn	1	38	-	-	PUNCT
cord-121428-79wyxedn	1	39	02	02	NUM
cord-121428-79wyxedn	1	40	journal	journal	NOUN
cord-121428-79wyxedn	1	41	:	:	PUNCT
cord-121428-79wyxedn	1	42	nan	nan	PROPN
cord-121428-79wyxedn	1	43	doi	doi	PROPN
cord-121428-79wyxedn	1	44	:	:	PUNCT
cord-121428-79wyxedn	1	45	nan	nan	PROPN
cord-121428-79wyxedn	1	46	sha	shall	AUX
cord-121428-79wyxedn	1	47	:	:	PUNCT
cord-121428-79wyxedn	2	1	doc_id	doc_id	X
cord-121428-79wyxedn	2	2	:	:	PUNCT
cord-121428-79wyxedn	2	3	121428	121428	NUM
cord-121428-79wyxedn	2	4	cord_uid	cord_uid	PROPN
cord-121428-79wyxedn	2	5	:	:	PUNCT
cord-121428-79wyxedn	3	1	79wyxedn	79wyxedn	PROPN
cord-121428-79wyxedn	3	2	motivated	motivate	VERB
cord-121428-79wyxedn	3	3	by	by	ADP
cord-121428-79wyxedn	3	4	the	the	DET
cord-121428-79wyxedn	3	5	covid-19	covid-19	PROPN
cord-121428-79wyxedn	3	6	pandemic	pandemic	NOUN
cord-121428-79wyxedn	3	7	,	,	PUNCT
cord-121428-79wyxedn	3	8	we	we	PRON
cord-121428-79wyxedn	3	9	introduce	introduce	VERB
cord-121428-79wyxedn	3	10	a	a	DET
cord-121428-79wyxedn	3	11	mathematical	mathematical	ADJ
cord-121428-79wyxedn	3	12	description	description	NOUN
cord-121428-79wyxedn	3	13	of	of	ADP
cord-121428-79wyxedn	3	14	the	the	DET
cord-121428-79wyxedn	3	15	impact	impact	NOUN
cord-121428-79wyxedn	3	16	of	of	ADP
cord-121428-79wyxedn	3	17	sociality	sociality	NOUN
cord-121428-79wyxedn	3	18	in	in	ADP
cord-121428-79wyxedn	3	19	the	the	DET
cord-121428-79wyxedn	3	20	spread	spread	NOUN
cord-121428-79wyxedn	3	21	of	of	ADP
cord-121428-79wyxedn	3	22	infectious	infectious	ADJ
cord-121428-79wyxedn	3	23	diseases	disease	NOUN
cord-121428-79wyxedn	3	24	by	by	ADP
cord-121428-79wyxedn	3	25	integrating	integrate	VERB
cord-121428-79wyxedn	3	26	an	an	DET
cord-121428-79wyxedn	3	27	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	3	28	dynamic	dynamic	NOUN
cord-121428-79wyxedn	3	29	with	with	ADP
cord-121428-79wyxedn	3	30	a	a	DET
cord-121428-79wyxedn	3	31	kinetic	kinetic	ADJ
cord-121428-79wyxedn	3	32	modeling	modeling	NOUN
cord-121428-79wyxedn	3	33	of	of	ADP
cord-121428-79wyxedn	3	34	population	population	NOUN
cord-121428-79wyxedn	3	35	-	-	PUNCT
cord-121428-79wyxedn	3	36	based	base	VERB
cord-121428-79wyxedn	3	37	contacts	contact	NOUN
cord-121428-79wyxedn	3	38	.	.	PUNCT
cord-121428-79wyxedn	4	1	the	the	DET
cord-121428-79wyxedn	4	2	kinetic	kinetic	ADJ
cord-121428-79wyxedn	4	3	description	description	NOUN
cord-121428-79wyxedn	4	4	leads	lead	VERB
cord-121428-79wyxedn	4	5	to	to	PART
cord-121428-79wyxedn	4	6	study	study	VERB
cord-121428-79wyxedn	4	7	the	the	DET
cord-121428-79wyxedn	4	8	evolution	evolution	NOUN
cord-121428-79wyxedn	4	9	over	over	ADP
cord-121428-79wyxedn	4	10	time	time	NOUN
cord-121428-79wyxedn	4	11	of	of	ADP
cord-121428-79wyxedn	4	12	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	4	13	type	type	NOUN
cord-121428-79wyxedn	4	14	equations	equation	NOUN
cord-121428-79wyxedn	4	15	describing	describe	VERB
cord-121428-79wyxedn	4	16	the	the	DET
cord-121428-79wyxedn	4	17	number	number	NOUN
cord-121428-79wyxedn	4	18	densities	density	NOUN
cord-121428-79wyxedn	4	19	of	of	ADP
cord-121428-79wyxedn	4	20	social	social	ADJ
cord-121428-79wyxedn	4	21	contacts	contact	NOUN
cord-121428-79wyxedn	4	22	of	of	ADP
cord-121428-79wyxedn	4	23	susceptible	susceptible	ADJ
cord-121428-79wyxedn	4	24	,	,	PUNCT
cord-121428-79wyxedn	4	25	infected	infect	VERB
cord-121428-79wyxedn	4	26	and	and	CCONJ
cord-121428-79wyxedn	4	27	recovered	recover	VERB
cord-121428-79wyxedn	4	28	individuals	individual	NOUN
cord-121428-79wyxedn	4	29	,	,	PUNCT
cord-121428-79wyxedn	4	30	whose	whose	DET
cord-121428-79wyxedn	4	31	proportions	proportion	NOUN
cord-121428-79wyxedn	4	32	are	be	AUX
cord-121428-79wyxedn	4	33	driven	drive	VERB
cord-121428-79wyxedn	4	34	by	by	ADP
cord-121428-79wyxedn	4	35	a	a	DET
cord-121428-79wyxedn	4	36	classical	classical	ADJ
cord-121428-79wyxedn	4	37	compartmental	compartmental	NOUN
cord-121428-79wyxedn	4	38	model	model	NOUN
cord-121428-79wyxedn	4	39	in	in	ADP
cord-121428-79wyxedn	4	40	epidemiology	epidemiology	NOUN
cord-121428-79wyxedn	4	41	.	.	PUNCT
cord-121428-79wyxedn	5	1	explicit	explicit	ADJ
cord-121428-79wyxedn	5	2	calculations	calculation	NOUN
cord-121428-79wyxedn	5	3	show	show	VERB
cord-121428-79wyxedn	5	4	that	that	SCONJ
cord-121428-79wyxedn	5	5	the	the	DET
cord-121428-79wyxedn	5	6	spread	spread	NOUN
cord-121428-79wyxedn	5	7	of	of	ADP
cord-121428-79wyxedn	5	8	the	the	DET
cord-121428-79wyxedn	5	9	disease	disease	NOUN
cord-121428-79wyxedn	5	10	is	be	AUX
cord-121428-79wyxedn	5	11	closely	closely	ADV
cord-121428-79wyxedn	5	12	related	relate	VERB
cord-121428-79wyxedn	5	13	to	to	ADP
cord-121428-79wyxedn	5	14	the	the	DET
cord-121428-79wyxedn	5	15	mean	mean	ADJ
cord-121428-79wyxedn	5	16	number	number	NOUN
cord-121428-79wyxedn	5	17	of	of	ADP
cord-121428-79wyxedn	5	18	contacts	contact	NOUN
cord-121428-79wyxedn	5	19	,	,	PUNCT
cord-121428-79wyxedn	5	20	thus	thus	ADV
cord-121428-79wyxedn	5	21	justifying	justify	VERB
cord-121428-79wyxedn	5	22	the	the	DET
cord-121428-79wyxedn	5	23	lockdown	lockdown	NOUN
cord-121428-79wyxedn	5	24	strategies	strategy	NOUN
cord-121428-79wyxedn	5	25	assumed	assume	VERB
cord-121428-79wyxedn	5	26	by	by	ADP
cord-121428-79wyxedn	5	27	governments	government	NOUN
cord-121428-79wyxedn	5	28	to	to	PART
cord-121428-79wyxedn	5	29	prevent	prevent	VERB
cord-121428-79wyxedn	5	30	them	they	PRON
cord-121428-79wyxedn	5	31	.	.	PUNCT
cord-121428-79wyxedn	6	1	furthermore	furthermore	ADV
cord-121428-79wyxedn	6	2	,	,	PUNCT
cord-121428-79wyxedn	6	3	the	the	DET
cord-121428-79wyxedn	6	4	kinetic	kinetic	ADJ
cord-121428-79wyxedn	6	5	model	model	NOUN
cord-121428-79wyxedn	6	6	allows	allow	VERB
cord-121428-79wyxedn	6	7	to	to	PART
cord-121428-79wyxedn	6	8	clarify	clarify	VERB
cord-121428-79wyxedn	6	9	how	how	SCONJ
cord-121428-79wyxedn	6	10	a	a	DET
cord-121428-79wyxedn	6	11	selective	selective	ADJ
cord-121428-79wyxedn	6	12	control	control	NOUN
cord-121428-79wyxedn	6	13	can	can	AUX
cord-121428-79wyxedn	6	14	be	be	AUX
cord-121428-79wyxedn	6	15	assumed	assume	VERB
cord-121428-79wyxedn	6	16	to	to	PART
cord-121428-79wyxedn	6	17	achieve	achieve	VERB
cord-121428-79wyxedn	6	18	a	a	DET
cord-121428-79wyxedn	6	19	minimal	minimal	ADJ
cord-121428-79wyxedn	6	20	lockdown	lockdown	NOUN
cord-121428-79wyxedn	6	21	strategy	strategy	NOUN
cord-121428-79wyxedn	6	22	by	by	ADP
cord-121428-79wyxedn	6	23	only	only	ADV
cord-121428-79wyxedn	6	24	reducing	reduce	VERB
cord-121428-79wyxedn	6	25	individuals	individual	NOUN
cord-121428-79wyxedn	6	26	undergoing	undergo	VERB
cord-121428-79wyxedn	6	27	a	a	DET
cord-121428-79wyxedn	6	28	very	very	ADV
cord-121428-79wyxedn	6	29	large	large	ADJ
cord-121428-79wyxedn	6	30	number	number	NOUN
cord-121428-79wyxedn	6	31	of	of	ADP
cord-121428-79wyxedn	6	32	daily	daily	ADJ
cord-121428-79wyxedn	6	33	contacts	contact	NOUN
cord-121428-79wyxedn	6	34	.	.	PUNCT
cord-121428-79wyxedn	7	1	this	this	PRON
cord-121428-79wyxedn	7	2	,	,	PUNCT
cord-121428-79wyxedn	7	3	in	in	ADP
cord-121428-79wyxedn	7	4	turns	turn	NOUN
cord-121428-79wyxedn	7	5	,	,	PUNCT
cord-121428-79wyxedn	7	6	could	could	AUX
cord-121428-79wyxedn	7	7	permit	permit	VERB
cord-121428-79wyxedn	7	8	to	to	PART
cord-121428-79wyxedn	7	9	maintain	maintain	VERB
cord-121428-79wyxedn	7	10	at	at	ADP
cord-121428-79wyxedn	7	11	best	good	ADJ
cord-121428-79wyxedn	7	12	the	the	DET
cord-121428-79wyxedn	7	13	economic	economic	ADJ
cord-121428-79wyxedn	7	14	activities	activity	NOUN
cord-121428-79wyxedn	7	15	which	which	PRON
cord-121428-79wyxedn	7	16	would	would	AUX
cord-121428-79wyxedn	7	17	seriously	seriously	ADV
cord-121428-79wyxedn	7	18	suffer	suffer	VERB
cord-121428-79wyxedn	7	19	from	from	ADP
cord-121428-79wyxedn	7	20	a	a	DET
cord-121428-79wyxedn	7	21	total	total	ADJ
cord-121428-79wyxedn	7	22	closure	closure	NOUN
cord-121428-79wyxedn	7	23	policy	policy	NOUN
cord-121428-79wyxedn	7	24	.	.	PUNCT
cord-121428-79wyxedn	8	1	numerical	numerical	ADJ
cord-121428-79wyxedn	8	2	simulations	simulation	NOUN
cord-121428-79wyxedn	8	3	confirm	confirm	VERB
cord-121428-79wyxedn	8	4	the	the	DET
cord-121428-79wyxedn	8	5	ability	ability	NOUN
cord-121428-79wyxedn	8	6	of	of	ADP
cord-121428-79wyxedn	8	7	the	the	DET
cord-121428-79wyxedn	8	8	model	model	NOUN
cord-121428-79wyxedn	8	9	to	to	PART
cord-121428-79wyxedn	8	10	describe	describe	VERB
cord-121428-79wyxedn	8	11	different	different	ADJ
cord-121428-79wyxedn	8	12	phenomena	phenomena	NOUN
cord-121428-79wyxedn	8	13	characteristic	characteristic	ADJ
cord-121428-79wyxedn	8	14	of	of	ADP
cord-121428-79wyxedn	8	15	the	the	DET
cord-121428-79wyxedn	8	16	rapid	rapid	ADJ
cord-121428-79wyxedn	8	17	spread	spread	NOUN
cord-121428-79wyxedn	8	18	of	of	ADP
cord-121428-79wyxedn	8	19	an	an	DET
cord-121428-79wyxedn	8	20	epidemic	epidemic	NOUN
cord-121428-79wyxedn	8	21	.	.	PUNCT
cord-121428-79wyxedn	9	1	a	a	DET
cord-121428-79wyxedn	9	2	last	last	ADJ
cord-121428-79wyxedn	9	3	part	part	NOUN
cord-121428-79wyxedn	9	4	is	be	AUX
cord-121428-79wyxedn	9	5	dedicated	dedicate	VERB
cord-121428-79wyxedn	9	6	to	to	PART
cord-121428-79wyxedn	9	7	fit	fit	VERB
cord-121428-79wyxedn	9	8	numerical	numerical	ADJ
cord-121428-79wyxedn	9	9	solutions	solution	NOUN
cord-121428-79wyxedn	9	10	of	of	ADP
cord-121428-79wyxedn	9	11	the	the	DET
cord-121428-79wyxedn	9	12	proposed	propose	VERB
cord-121428-79wyxedn	9	13	model	model	NOUN
cord-121428-79wyxedn	9	14	with	with	ADP
cord-121428-79wyxedn	9	15	experimental	experimental	ADJ
cord-121428-79wyxedn	9	16	data	datum	NOUN
cord-121428-79wyxedn	9	17	coming	come	VERB
cord-121428-79wyxedn	9	18	from	from	ADP
cord-121428-79wyxedn	9	19	different	different	ADJ
cord-121428-79wyxedn	9	20	european	european	ADJ
cord-121428-79wyxedn	9	21	countries	country	NOUN
cord-121428-79wyxedn	9	22	.	.	PUNCT
cord-121428-79wyxedn	10	1	1	1	NUM
cord-121428-79wyxedn	10	2	introduction	introduction	NOUN
cord-121428-79wyxedn	10	3	a	a	DET
cord-121428-79wyxedn	10	4	model	model	NOUN
cord-121428-79wyxedn	10	5	which	which	PRON
cord-121428-79wyxedn	10	6	well	well	ADV
cord-121428-79wyxedn	10	7	fits	fit	VERB
cord-121428-79wyxedn	10	8	with	with	ADP
cord-121428-79wyxedn	10	9	the	the	DET
cord-121428-79wyxedn	10	10	experimental	experimental	ADJ
cord-121428-79wyxedn	10	11	data	datum	NOUN
cord-121428-79wyxedn	10	12	.	.	PUNCT
cord-121428-79wyxedn	11	1	an	an	DET
cord-121428-79wyxedn	11	2	easy	easy	ADJ
cord-121428-79wyxedn	11	3	way	way	NOUN
cord-121428-79wyxedn	11	4	to	to	PART
cord-121428-79wyxedn	11	5	understand	understand	VERB
cord-121428-79wyxedn	11	6	epidemiology	epidemiology	NOUN
cord-121428-79wyxedn	11	7	models	model	NOUN
cord-121428-79wyxedn	11	8	is	be	AUX
cord-121428-79wyxedn	11	9	that	that	SCONJ
cord-121428-79wyxedn	11	10	,	,	PUNCT
cord-121428-79wyxedn	11	11	given	give	VERB
cord-121428-79wyxedn	11	12	a	a	DET
cord-121428-79wyxedn	11	13	population	population	NOUN
cord-121428-79wyxedn	11	14	composed	compose	VERB
cord-121428-79wyxedn	11	15	of	of	ADP
cord-121428-79wyxedn	11	16	agents	agent	NOUN
cord-121428-79wyxedn	11	17	,	,	PUNCT
cord-121428-79wyxedn	11	18	they	they	PRON
cord-121428-79wyxedn	11	19	prescribe	prescribe	VERB
cord-121428-79wyxedn	11	20	movements	movement	NOUN
cord-121428-79wyxedn	11	21	of	of	ADP
cord-121428-79wyxedn	11	22	individuals	individual	NOUN
cord-121428-79wyxedn	11	23	between	between	ADP
cord-121428-79wyxedn	11	24	different	different	ADJ
cord-121428-79wyxedn	11	25	states	state	NOUN
cord-121428-79wyxedn	11	26	based	base	VERB
cord-121428-79wyxedn	11	27	on	on	ADP
cord-121428-79wyxedn	11	28	some	some	DET
cord-121428-79wyxedn	11	29	matching	matching	NOUN
cord-121428-79wyxedn	11	30	functions	function	NOUN
cord-121428-79wyxedn	11	31	or	or	CCONJ
cord-121428-79wyxedn	11	32	laws	law	NOUN
cord-121428-79wyxedn	11	33	of	of	ADP
cord-121428-79wyxedn	11	34	motion	motion	NOUN
cord-121428-79wyxedn	11	35	.	.	PUNCT
cord-121428-79wyxedn	12	1	according	accord	VERB
cord-121428-79wyxedn	12	2	to	to	ADP
cord-121428-79wyxedn	12	3	the	the	DET
cord-121428-79wyxedn	12	4	classical	classical	ADJ
cord-121428-79wyxedn	12	5	sir	sir	NOUN
cord-121428-79wyxedn	12	6	models	model	NOUN
cord-121428-79wyxedn	12	7	[	[	X
cord-121428-79wyxedn	12	8	29	29	NUM
cord-121428-79wyxedn	12	9	]	]	PUNCT
cord-121428-79wyxedn	12	10	,	,	PUNCT
cord-121428-79wyxedn	12	11	agents	agent	NOUN
cord-121428-79wyxedn	12	12	in	in	ADP
cord-121428-79wyxedn	12	13	the	the	DET
cord-121428-79wyxedn	12	14	system	system	NOUN
cord-121428-79wyxedn	12	15	are	be	AUX
cord-121428-79wyxedn	12	16	split	split	VERB
cord-121428-79wyxedn	12	17	into	into	ADP
cord-121428-79wyxedn	12	18	three	three	NUM
cord-121428-79wyxedn	12	19	classes	class	NOUN
cord-121428-79wyxedn	12	20	,	,	PUNCT
cord-121428-79wyxedn	12	21	the	the	DET
cord-121428-79wyxedn	12	22	susceptible	susceptible	ADJ
cord-121428-79wyxedn	12	23	,	,	PUNCT
cord-121428-79wyxedn	12	24	who	who	PRON
cord-121428-79wyxedn	12	25	can	can	AUX
cord-121428-79wyxedn	12	26	contract	contract	VERB
cord-121428-79wyxedn	12	27	the	the	DET
cord-121428-79wyxedn	12	28	disease	disease	NOUN
cord-121428-79wyxedn	12	29	,	,	PUNCT
cord-121428-79wyxedn	12	30	the	the	DET
cord-121428-79wyxedn	12	31	infected	infected	PROPN
cord-121428-79wyxedn	12	32	,	,	PUNCT
cord-121428-79wyxedn	12	33	who	who	PRON
cord-121428-79wyxedn	12	34	have	have	AUX
cord-121428-79wyxedn	12	35	already	already	ADV
cord-121428-79wyxedn	12	36	contracted	contract	VERB
cord-121428-79wyxedn	12	37	the	the	DET
cord-121428-79wyxedn	12	38	disease	disease	NOUN
cord-121428-79wyxedn	12	39	and	and	CCONJ
cord-121428-79wyxedn	12	40	can	can	AUX
cord-121428-79wyxedn	12	41	transmit	transmit	VERB
cord-121428-79wyxedn	12	42	it	it	PRON
cord-121428-79wyxedn	12	43	,	,	PUNCT
cord-121428-79wyxedn	12	44	and	and	CCONJ
cord-121428-79wyxedn	12	45	the	the	DET
cord-121428-79wyxedn	12	46	recovered	recovered	ADJ
cord-121428-79wyxedn	12	47	who	who	PRON
cord-121428-79wyxedn	12	48	are	be	AUX
cord-121428-79wyxedn	12	49	healed	heal	VERB
cord-121428-79wyxedn	12	50	,	,	PUNCT
cord-121428-79wyxedn	12	51	immune	immune	ADJ
cord-121428-79wyxedn	12	52	or	or	CCONJ
cord-121428-79wyxedn	12	53	isolated	isolate	VERB
cord-121428-79wyxedn	12	54	.	.	PUNCT
cord-121428-79wyxedn	13	1	inspired	inspire	VERB
cord-121428-79wyxedn	13	2	by	by	ADP
cord-121428-79wyxedn	13	3	the	the	DET
cord-121428-79wyxedn	13	4	model	model	NOUN
cord-121428-79wyxedn	13	5	considered	consider	VERB
cord-121428-79wyxedn	13	6	in	in	ADP
cord-121428-79wyxedn	13	7	[	[	X
cord-121428-79wyxedn	13	8	14	14	NUM
cord-121428-79wyxedn	13	9	]	]	PUNCT
cord-121428-79wyxedn	13	10	for	for	ADP
cord-121428-79wyxedn	13	11	describing	describe	VERB
cord-121428-79wyxedn	13	12	a	a	DET
cord-121428-79wyxedn	13	13	social	social	ADJ
cord-121428-79wyxedn	13	14	attitude	attitude	NOUN
cord-121428-79wyxedn	13	15	and	and	CCONJ
cord-121428-79wyxedn	13	16	making	make	VERB
cord-121428-79wyxedn	13	17	use	use	NOUN
cord-121428-79wyxedn	13	18	of	of	ADP
cord-121428-79wyxedn	13	19	the	the	DET
cord-121428-79wyxedn	13	20	sir	sir	PROPN
cord-121428-79wyxedn	13	21	dynamics	dynamic	NOUN
cord-121428-79wyxedn	13	22	,	,	PUNCT
cord-121428-79wyxedn	13	23	we	we	PRON
cord-121428-79wyxedn	13	24	present	present	VERB
cord-121428-79wyxedn	13	25	here	here	ADV
cord-121428-79wyxedn	13	26	a	a	DET
cord-121428-79wyxedn	13	27	model	model	NOUN
cord-121428-79wyxedn	13	28	composed	compose	VERB
cord-121428-79wyxedn	13	29	by	by	ADP
cord-121428-79wyxedn	13	30	a	a	DET
cord-121428-79wyxedn	13	31	system	system	NOUN
cord-121428-79wyxedn	13	32	of	of	ADP
cord-121428-79wyxedn	13	33	three	three	NUM
cord-121428-79wyxedn	13	34	kinetic	kinetic	ADJ
cord-121428-79wyxedn	13	35	equations	equation	NOUN
cord-121428-79wyxedn	13	36	,	,	PUNCT
cord-121428-79wyxedn	13	37	each	each	DET
cord-121428-79wyxedn	13	38	one	one	NOUN
cord-121428-79wyxedn	13	39	describing	describe	VERB
cord-121428-79wyxedn	13	40	the	the	DET
cord-121428-79wyxedn	13	41	time	time	NOUN
cord-121428-79wyxedn	13	42	evolution	evolution	NOUN
cord-121428-79wyxedn	13	43	of	of	ADP
cord-121428-79wyxedn	13	44	the	the	DET
cord-121428-79wyxedn	13	45	distribution	distribution	NOUN
cord-121428-79wyxedn	13	46	of	of	ADP
cord-121428-79wyxedn	13	47	the	the	DET
cord-121428-79wyxedn	13	48	number	number	NOUN
cord-121428-79wyxedn	13	49	of	of	ADP
cord-121428-79wyxedn	13	50	contacts	contact	NOUN
cord-121428-79wyxedn	13	51	for	for	ADP
cord-121428-79wyxedn	13	52	the	the	DET
cord-121428-79wyxedn	13	53	subpopulation	subpopulation	NOUN
cord-121428-79wyxedn	13	54	belonging	belong	VERB
cord-121428-79wyxedn	13	55	to	to	ADP
cord-121428-79wyxedn	13	56	a	a	DET
cord-121428-79wyxedn	13	57	given	give	VERB
cord-121428-79wyxedn	13	58	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	13	59	class	class	NOUN
cord-121428-79wyxedn	13	60	.	.	PUNCT
cord-121428-79wyxedn	14	1	these	these	DET
cord-121428-79wyxedn	14	2	three	three	NUM
cord-121428-79wyxedn	14	3	equations	equation	NOUN
cord-121428-79wyxedn	14	4	are	be	AUX
cord-121428-79wyxedn	14	5	further	far	ADV
cord-121428-79wyxedn	14	6	coupled	couple	VERB
cord-121428-79wyxedn	14	7	by	by	ADP
cord-121428-79wyxedn	14	8	taking	take	VERB
cord-121428-79wyxedn	14	9	into	into	ADP
cord-121428-79wyxedn	14	10	account	account	NOUN
cord-121428-79wyxedn	14	11	the	the	DET
cord-121428-79wyxedn	14	12	movements	movement	NOUN
cord-121428-79wyxedn	14	13	of	of	ADP
cord-121428-79wyxedn	14	14	agents	agent	NOUN
cord-121428-79wyxedn	14	15	from	from	ADP
cord-121428-79wyxedn	14	16	one	one	NUM
cord-121428-79wyxedn	14	17	class	class	NOUN
cord-121428-79wyxedn	14	18	to	to	ADP
cord-121428-79wyxedn	14	19	the	the	DET
cord-121428-79wyxedn	14	20	other	other	ADJ
cord-121428-79wyxedn	14	21	as	as	ADP
cord-121428-79wyxedn	14	22	a	a	DET
cord-121428-79wyxedn	14	23	consequence	consequence	NOUN
cord-121428-79wyxedn	14	24	of	of	ADP
cord-121428-79wyxedn	14	25	the	the	DET
cord-121428-79wyxedn	14	26	infection	infection	NOUN
cord-121428-79wyxedn	14	27	.	.	PUNCT
cord-121428-79wyxedn	15	1	the	the	DET
cord-121428-79wyxedn	15	2	interactions	interaction	NOUN
cord-121428-79wyxedn	15	3	which	which	PRON
cord-121428-79wyxedn	15	4	describe	describe	VERB
cord-121428-79wyxedn	15	5	the	the	DET
cord-121428-79wyxedn	15	6	social	social	ADJ
cord-121428-79wyxedn	15	7	contacts	contact	NOUN
cord-121428-79wyxedn	15	8	of	of	ADP
cord-121428-79wyxedn	15	9	individuals	individual	NOUN
cord-121428-79wyxedn	15	10	are	be	AUX
cord-121428-79wyxedn	15	11	based	base	VERB
cord-121428-79wyxedn	15	12	on	on	ADP
cord-121428-79wyxedn	15	13	few	few	ADJ
cord-121428-79wyxedn	15	14	rules	rule	NOUN
cord-121428-79wyxedn	15	15	and	and	CCONJ
cord-121428-79wyxedn	15	16	can	can	AUX
cord-121428-79wyxedn	15	17	be	be	AUX
cord-121428-79wyxedn	15	18	easily	easily	ADV
cord-121428-79wyxedn	15	19	adapted	adapt	VERB
cord-121428-79wyxedn	15	20	to	to	PART
cord-121428-79wyxedn	15	21	take	take	VERB
cord-121428-79wyxedn	15	22	into	into	ADP
cord-121428-79wyxedn	15	23	account	account	NOUN
cord-121428-79wyxedn	15	24	the	the	DET
cord-121428-79wyxedn	15	25	behavior	behavior	NOUN
cord-121428-79wyxedn	15	26	of	of	ADP
cord-121428-79wyxedn	15	27	agents	agent	NOUN
cord-121428-79wyxedn	15	28	in	in	ADP
cord-121428-79wyxedn	15	29	the	the	DET
cord-121428-79wyxedn	15	30	different	different	ADJ
cord-121428-79wyxedn	15	31	classes	class	NOUN
cord-121428-79wyxedn	15	32	in	in	ADP
cord-121428-79wyxedn	15	33	presence	presence	NOUN
cord-121428-79wyxedn	15	34	of	of	ADP
cord-121428-79wyxedn	15	35	the	the	DET
cord-121428-79wyxedn	15	36	infectious	infectious	ADJ
cord-121428-79wyxedn	15	37	disease	disease	NOUN
cord-121428-79wyxedn	15	38	.	.	PUNCT
cord-121428-79wyxedn	16	1	our	our	PRON
cord-121428-79wyxedn	16	2	joint	joint	ADJ
cord-121428-79wyxedn	16	3	framework	framework	NOUN
cord-121428-79wyxedn	16	4	is	be	AUX
cord-121428-79wyxedn	16	5	consequently	consequently	ADV
cord-121428-79wyxedn	16	6	based	base	VERB
cord-121428-79wyxedn	16	7	on	on	ADP
cord-121428-79wyxedn	16	8	two	two	NUM
cord-121428-79wyxedn	16	9	models	model	NOUN
cord-121428-79wyxedn	16	10	which	which	PRON
cord-121428-79wyxedn	16	11	can	can	AUX
cord-121428-79wyxedn	16	12	be	be	AUX
cord-121428-79wyxedn	16	13	considered	consider	VERB
cord-121428-79wyxedn	16	14	classical	classical	ADJ
cord-121428-79wyxedn	16	15	in	in	ADP
cord-121428-79wyxedn	16	16	the	the	DET
cord-121428-79wyxedn	16	17	respective	respective	ADJ
cord-121428-79wyxedn	16	18	fields	field	NOUN
cord-121428-79wyxedn	16	19	.	.	PUNCT
cord-121428-79wyxedn	17	1	from	from	ADP
cord-121428-79wyxedn	17	2	the	the	DET
cord-121428-79wyxedn	17	3	epidemic	epidemic	NOUN
cord-121428-79wyxedn	17	4	side	side	NOUN
cord-121428-79wyxedn	17	5	,	,	PUNCT
cord-121428-79wyxedn	17	6	the	the	DET
cord-121428-79wyxedn	17	7	sir	sir	NOUN
cord-121428-79wyxedn	17	8	and	and	CCONJ
cord-121428-79wyxedn	17	9	its	its	PRON
cord-121428-79wyxedn	17	10	related	relate	VERB
cord-121428-79wyxedn	17	11	models	model	NOUN
cord-121428-79wyxedn	17	12	are	be	AUX
cord-121428-79wyxedn	17	13	widely	widely	ADV
cord-121428-79wyxedn	17	14	used	use	VERB
cord-121428-79wyxedn	17	15	in	in	ADP
cord-121428-79wyxedn	17	16	most	most	ADJ
cord-121428-79wyxedn	17	17	applications	application	NOUN
cord-121428-79wyxedn	17	18	(	(	PUNCT
cord-121428-79wyxedn	17	19	cf	cf	INTJ
cord-121428-79wyxedn	17	20	.	.	PUNCT
cord-121428-79wyxedn	18	1	[	[	X
cord-121428-79wyxedn	18	2	29	29	NUM
cord-121428-79wyxedn	18	3	]	]	PUNCT
cord-121428-79wyxedn	18	4	and	and	CCONJ
cord-121428-79wyxedn	18	5	the	the	DET
cord-121428-79wyxedn	18	6	references	reference	NOUN
cord-121428-79wyxedn	18	7	therein	therein	ADV
cord-121428-79wyxedn	18	8	)	)	PUNCT
cord-121428-79wyxedn	18	9	.	.	PUNCT
cord-121428-79wyxedn	19	1	from	from	ADP
cord-121428-79wyxedn	19	2	the	the	DET
cord-121428-79wyxedn	19	3	side	side	NOUN
cord-121428-79wyxedn	19	4	of	of	ADP
cord-121428-79wyxedn	19	5	multi	multi	ADJ
cord-121428-79wyxedn	19	6	-	-	ADJ
cord-121428-79wyxedn	19	7	agent	agent	ADJ
cord-121428-79wyxedn	19	8	systems	system	NOUN
cord-121428-79wyxedn	19	9	in	in	ADP
cord-121428-79wyxedn	19	10	statistical	statistical	ADJ
cord-121428-79wyxedn	19	11	mechanics	mechanic	NOUN
cord-121428-79wyxedn	19	12	,	,	PUNCT
cord-121428-79wyxedn	19	13	the	the	DET
cord-121428-79wyxedn	19	14	linear	linear	PROPN
cord-121428-79wyxedn	19	15	kinetic	kinetic	NOUN
cord-121428-79wyxedn	19	16	model	model	NOUN
cord-121428-79wyxedn	19	17	introduced	introduce	VERB
cord-121428-79wyxedn	19	18	in	in	ADP
cord-121428-79wyxedn	19	19	[	[	SYM
cord-121428-79wyxedn	19	20	14	14	NUM
cord-121428-79wyxedn	19	21	,	,	PUNCT
cord-121428-79wyxedn	19	22	46	46	NUM
cord-121428-79wyxedn	19	23	]	]	PUNCT
cord-121428-79wyxedn	19	24	has	have	AUX
cord-121428-79wyxedn	19	25	been	be	AUX
cord-121428-79wyxedn	19	26	shown	show	VERB
cord-121428-79wyxedn	19	27	to	to	PART
cord-121428-79wyxedn	19	28	be	be	AUX
cord-121428-79wyxedn	19	29	flexible	flexible	ADJ
cord-121428-79wyxedn	19	30	and	and	CCONJ
cord-121428-79wyxedn	19	31	able	able	ADJ
cord-121428-79wyxedn	19	32	to	to	PART
cord-121428-79wyxedn	19	33	describe	describe	VERB
cord-121428-79wyxedn	19	34	,	,	PUNCT
cord-121428-79wyxedn	19	35	with	with	ADP
cord-121428-79wyxedn	19	36	opportune	opportune	ADJ
cord-121428-79wyxedn	19	37	modifications	modification	NOUN
cord-121428-79wyxedn	19	38	,	,	PUNCT
cord-121428-79wyxedn	19	39	different	different	ADJ
cord-121428-79wyxedn	19	40	problems	problem	NOUN
cord-121428-79wyxedn	19	41	in	in	ADP
cord-121428-79wyxedn	19	42	which	which	PRON
cord-121428-79wyxedn	19	43	human	human	ADJ
cord-121428-79wyxedn	19	44	behavior	behavior	NOUN
cord-121428-79wyxedn	19	45	plays	play	VERB
cord-121428-79wyxedn	19	46	an	an	DET
cord-121428-79wyxedn	19	47	essential	essential	ADJ
cord-121428-79wyxedn	19	48	role	role	NOUN
cord-121428-79wyxedn	19	49	,	,	PUNCT
cord-121428-79wyxedn	19	50	like	like	ADP
cord-121428-79wyxedn	19	51	the	the	DET
cord-121428-79wyxedn	19	52	formation	formation	NOUN
cord-121428-79wyxedn	19	53	of	of	ADP
cord-121428-79wyxedn	19	54	social	social	ADJ
cord-121428-79wyxedn	19	55	contacts	contact	NOUN
cord-121428-79wyxedn	19	56	.	.	PUNCT
cord-121428-79wyxedn	20	1	the	the	DET
cord-121428-79wyxedn	20	2	study	study	NOUN
cord-121428-79wyxedn	20	3	of	of	ADP
cord-121428-79wyxedn	20	4	the	the	DET
cord-121428-79wyxedn	20	5	effects	effect	NOUN
cord-121428-79wyxedn	20	6	of	of	ADP
cord-121428-79wyxedn	20	7	the	the	DET
cord-121428-79wyxedn	20	8	intensity	intensity	NOUN
cord-121428-79wyxedn	20	9	of	of	ADP
cord-121428-79wyxedn	20	10	social	social	ADJ
cord-121428-79wyxedn	20	11	contacts	contact	NOUN
cord-121428-79wyxedn	20	12	in	in	ADP
cord-121428-79wyxedn	20	13	the	the	DET
cord-121428-79wyxedn	20	14	epidemic	epidemic	NOUN
cord-121428-79wyxedn	20	15	diffusion	diffusion	NOUN
cord-121428-79wyxedn	20	16	,	,	PUNCT
cord-121428-79wyxedn	20	17	among	among	ADP
cord-121428-79wyxedn	20	18	other	other	ADJ
cord-121428-79wyxedn	20	19	consequences	consequence	NOUN
cord-121428-79wyxedn	20	20	,	,	PUNCT
cord-121428-79wyxedn	20	21	allows	allow	VERB
cord-121428-79wyxedn	20	22	to	to	PART
cord-121428-79wyxedn	20	23	obtain	obtain	VERB
cord-121428-79wyxedn	20	24	in	in	ADP
cord-121428-79wyxedn	20	25	a	a	DET
cord-121428-79wyxedn	20	26	rigorous	rigorous	ADJ
cord-121428-79wyxedn	20	27	way	way	NOUN
cord-121428-79wyxedn	20	28	a	a	DET
cord-121428-79wyxedn	20	29	variety	variety	NOUN
cord-121428-79wyxedn	20	30	of	of	ADP
cord-121428-79wyxedn	20	31	non	non	ADJ
cord-121428-79wyxedn	20	32	-	-	ADJ
cord-121428-79wyxedn	20	33	linear	linear	ADJ
cord-121428-79wyxedn	20	34	incidence	incidence	NOUN
cord-121428-79wyxedn	20	35	rates	rate	NOUN
cord-121428-79wyxedn	20	36	of	of	ADP
cord-121428-79wyxedn	20	37	the	the	DET
cord-121428-79wyxedn	20	38	infectious	infectious	ADJ
cord-121428-79wyxedn	20	39	disease	disease	NOUN
cord-121428-79wyxedn	20	40	as	as	ADP
cord-121428-79wyxedn	20	41	for	for	ADP
cord-121428-79wyxedn	20	42	instance	instance	NOUN
cord-121428-79wyxedn	20	43	recently	recently	ADV
cord-121428-79wyxedn	20	44	considered	consider	VERB
cord-121428-79wyxedn	20	45	in	in	ADP
cord-121428-79wyxedn	20	46	[	[	X
cord-121428-79wyxedn	20	47	33	33	NUM
cord-121428-79wyxedn	20	48	]	]	PUNCT
cord-121428-79wyxedn	20	49	.	.	PUNCT
cord-121428-79wyxedn	21	1	it	it	PRON
cord-121428-79wyxedn	21	2	is	be	AUX
cord-121428-79wyxedn	21	3	also	also	ADV
cord-121428-79wyxedn	21	4	interesting	interesting	ADJ
cord-121428-79wyxedn	21	5	to	to	PART
cord-121428-79wyxedn	21	6	remark	remark	VERB
cord-121428-79wyxedn	21	7	that	that	SCONJ
cord-121428-79wyxedn	21	8	the	the	DET
cord-121428-79wyxedn	21	9	presence	presence	NOUN
cord-121428-79wyxedn	21	10	of	of	ADP
cord-121428-79wyxedn	21	11	non	non	NOUN
cord-121428-79wyxedn	21	12	-	-	ADJ
cord-121428-79wyxedn	21	13	linearity	linearity	ADJ
cord-121428-79wyxedn	21	14	in	in	ADP
cord-121428-79wyxedn	21	15	the	the	DET
cord-121428-79wyxedn	21	16	incidence	incidence	NOUN
cord-121428-79wyxedn	21	17	rate	rate	NOUN
cord-121428-79wyxedn	21	18	function	function	NOUN
cord-121428-79wyxedn	21	19	,	,	PUNCT
cord-121428-79wyxedn	21	20	and	and	CCONJ
cord-121428-79wyxedn	21	21	in	in	ADP
cord-121428-79wyxedn	21	22	particular	particular	ADJ
cord-121428-79wyxedn	21	23	,	,	PUNCT
cord-121428-79wyxedn	21	24	the	the	DET
cord-121428-79wyxedn	21	25	concavity	concavity	NOUN
cord-121428-79wyxedn	21	26	condition	condition	NOUN
cord-121428-79wyxedn	21	27	with	with	ADP
cord-121428-79wyxedn	21	28	respect	respect	NOUN
cord-121428-79wyxedn	21	29	to	to	ADP
cord-121428-79wyxedn	21	30	the	the	DET
cord-121428-79wyxedn	21	31	number	number	NOUN
cord-121428-79wyxedn	21	32	of	of	ADP
cord-121428-79wyxedn	21	33	infected	infect	VERB
cord-121428-79wyxedn	21	34	has	have	AUX
cord-121428-79wyxedn	21	35	been	be	AUX
cord-121428-79wyxedn	21	36	considered	consider	VERB
cord-121428-79wyxedn	21	37	in	in	ADP
cord-121428-79wyxedn	21	38	[	[	X
cord-121428-79wyxedn	21	39	33	33	NUM
cord-121428-79wyxedn	21	40	]	]	PUNCT
cord-121428-79wyxedn	21	41	as	as	ADP
cord-121428-79wyxedn	21	42	a	a	DET
cord-121428-79wyxedn	21	43	consequence	consequence	NOUN
cord-121428-79wyxedn	21	44	of	of	ADP
cord-121428-79wyxedn	21	45	psychological	psychological	ADJ
cord-121428-79wyxedn	21	46	effects	effect	NOUN
cord-121428-79wyxedn	21	47	.	.	PUNCT
cord-121428-79wyxedn	22	1	namely	namely	ADV
cord-121428-79wyxedn	22	2	,	,	PUNCT
cord-121428-79wyxedn	22	3	the	the	DET
cord-121428-79wyxedn	22	4	authors	author	NOUN
cord-121428-79wyxedn	22	5	observed	observe	VERB
cord-121428-79wyxedn	22	6	that	that	SCONJ
cord-121428-79wyxedn	22	7	in	in	ADP
cord-121428-79wyxedn	22	8	the	the	DET
cord-121428-79wyxedn	22	9	presence	presence	NOUN
cord-121428-79wyxedn	22	10	of	of	ADP
cord-121428-79wyxedn	22	11	a	a	DET
cord-121428-79wyxedn	22	12	very	very	ADV
cord-121428-79wyxedn	22	13	large	large	ADJ
cord-121428-79wyxedn	22	14	number	number	NOUN
cord-121428-79wyxedn	22	15	of	of	ADP
cord-121428-79wyxedn	22	16	infected	infect	VERB
cord-121428-79wyxedn	22	17	,	,	PUNCT
cord-121428-79wyxedn	22	18	the	the	DET
cord-121428-79wyxedn	22	19	probability	probability	NOUN
cord-121428-79wyxedn	22	20	for	for	ADP
cord-121428-79wyxedn	22	21	an	an	DET
cord-121428-79wyxedn	22	22	infective	infective	NOUN
cord-121428-79wyxedn	22	23	to	to	PART
cord-121428-79wyxedn	22	24	transmit	transmit	VERB
cord-121428-79wyxedn	22	25	the	the	DET
cord-121428-79wyxedn	22	26	virus	virus	NOUN
cord-121428-79wyxedn	22	27	further	far	ADV
cord-121428-79wyxedn	22	28	may	may	AUX
cord-121428-79wyxedn	22	29	decrease	decrease	VERB
cord-121428-79wyxedn	22	30	because	because	SCONJ
cord-121428-79wyxedn	22	31	the	the	DET
cord-121428-79wyxedn	22	32	population	population	NOUN
cord-121428-79wyxedn	22	33	tend	tend	VERB
cord-121428-79wyxedn	22	34	to	to	PART
cord-121428-79wyxedn	22	35	naturally	naturally	ADV
cord-121428-79wyxedn	22	36	reduce	reduce	VERB
cord-121428-79wyxedn	22	37	the	the	DET
cord-121428-79wyxedn	22	38	number	number	NOUN
cord-121428-79wyxedn	22	39	of	of	ADP
cord-121428-79wyxedn	22	40	contacts	contact	NOUN
cord-121428-79wyxedn	22	41	.	.	PUNCT
cord-121428-79wyxedn	23	1	this	this	DET
cord-121428-79wyxedn	23	2	fact	fact	NOUN
cord-121428-79wyxedn	23	3	will	will	AUX
cord-121428-79wyxedn	23	4	be	be	AUX
cord-121428-79wyxedn	23	5	embedded	embed	VERB
cord-121428-79wyxedn	23	6	in	in	ADP
cord-121428-79wyxedn	23	7	the	the	DET
cord-121428-79wyxedn	23	8	kinetic	kinetic	ADJ
cord-121428-79wyxedn	23	9	model	model	NOUN
cord-121428-79wyxedn	23	10	producing	produce	VERB
cord-121428-79wyxedn	23	11	a	a	DET
cord-121428-79wyxedn	23	12	change	change	NOUN
cord-121428-79wyxedn	23	13	in	in	ADP
cord-121428-79wyxedn	23	14	the	the	DET
cord-121428-79wyxedn	23	15	mean	mean	ADJ
cord-121428-79wyxedn	23	16	value	value	NOUN
cord-121428-79wyxedn	23	17	of	of	ADP
cord-121428-79wyxedn	23	18	the	the	DET
cord-121428-79wyxedn	23	19	number	number	NOUN
cord-121428-79wyxedn	23	20	of	of	ADP
cord-121428-79wyxedn	23	21	daily	daily	ADJ
cord-121428-79wyxedn	23	22	contacts	contact	NOUN
cord-121428-79wyxedn	23	23	.	.	PUNCT
cord-121428-79wyxedn	24	1	the	the	DET
cord-121428-79wyxedn	24	2	importance	importance	NOUN
cord-121428-79wyxedn	24	3	of	of	ADP
cord-121428-79wyxedn	24	4	reducing	reduce	VERB
cord-121428-79wyxedn	24	5	at	at	ADP
cord-121428-79wyxedn	24	6	best	good	ADJ
cord-121428-79wyxedn	24	7	the	the	DET
cord-121428-79wyxedn	24	8	social	social	ADJ
cord-121428-79wyxedn	24	9	contacts	contact	NOUN
cord-121428-79wyxedn	24	10	to	to	ADP
cord-121428-79wyxedn	24	11	countering	counter	VERB
cord-121428-79wyxedn	24	12	the	the	DET
cord-121428-79wyxedn	24	13	advance	advance	NOUN
cord-121428-79wyxedn	24	14	of	of	ADP
cord-121428-79wyxedn	24	15	a	a	DET
cord-121428-79wyxedn	24	16	pandemic	pandemic	NOUN
cord-121428-79wyxedn	24	17	is	be	AUX
cord-121428-79wyxedn	24	18	a	a	DET
cord-121428-79wyxedn	24	19	well	well	ADV
cord-121428-79wyxedn	24	20	-	-	PUNCT
cord-121428-79wyxedn	24	21	known	know	VERB
cord-121428-79wyxedn	24	22	and	and	CCONJ
cord-121428-79wyxedn	24	23	studied	study	VERB
cord-121428-79wyxedn	24	24	phenomenon	phenomenon	NOUN
cord-121428-79wyxedn	24	25	[	[	X
cord-121428-79wyxedn	24	26	17	17	NUM
cord-121428-79wyxedn	24	27	]	]	PUNCT
cord-121428-79wyxedn	24	28	.	.	PUNCT
cord-121428-79wyxedn	25	1	while	while	SCONJ
cord-121428-79wyxedn	25	2	in	in	ADP
cord-121428-79wyxedn	25	3	normal	normal	ADJ
cord-121428-79wyxedn	25	4	life	life	NOUN
cord-121428-79wyxedn	25	5	activity	activity	NOUN
cord-121428-79wyxedn	25	6	,	,	PUNCT
cord-121428-79wyxedn	25	7	it	it	PRON
cord-121428-79wyxedn	25	8	is	be	AUX
cord-121428-79wyxedn	25	9	commonly	commonly	ADV
cord-121428-79wyxedn	25	10	assumed	assume	VERB
cord-121428-79wyxedn	25	11	that	that	SCONJ
cord-121428-79wyxedn	25	12	a	a	DET
cord-121428-79wyxedn	25	13	large	large	ADJ
cord-121428-79wyxedn	25	14	part	part	NOUN
cord-121428-79wyxedn	25	15	of	of	ADP
cord-121428-79wyxedn	25	16	agents	agent	NOUN
cord-121428-79wyxedn	25	17	behaves	behave	VERB
cord-121428-79wyxedn	25	18	in	in	ADP
cord-121428-79wyxedn	25	19	a	a	DET
cord-121428-79wyxedn	25	20	similar	similar	ADJ
cord-121428-79wyxedn	25	21	way	way	NOUN
cord-121428-79wyxedn	25	22	,	,	PUNCT
cord-121428-79wyxedn	25	23	in	in	ADP
cord-121428-79wyxedn	25	24	presence	presence	NOUN
cord-121428-79wyxedn	25	25	of	of	ADP
cord-121428-79wyxedn	25	26	an	an	DET
cord-121428-79wyxedn	25	27	extraordinary	extraordinary	ADJ
cord-121428-79wyxedn	25	28	situation	situation	NOUN
cord-121428-79wyxedn	25	29	like	like	ADP
cord-121428-79wyxedn	25	30	the	the	DET
cord-121428-79wyxedn	25	31	one	one	NUM
cord-121428-79wyxedn	25	32	due	due	ADP
cord-121428-79wyxedn	25	33	to	to	ADP
cord-121428-79wyxedn	25	34	a	a	DET
cord-121428-79wyxedn	25	35	pandemic	pandemic	NOUN
cord-121428-79wyxedn	25	36	,	,	PUNCT
cord-121428-79wyxedn	25	37	it	it	PRON
cord-121428-79wyxedn	25	38	is	be	AUX
cord-121428-79wyxedn	25	39	highly	highly	ADV
cord-121428-79wyxedn	25	40	reasonable	reasonable	ADJ
cord-121428-79wyxedn	25	41	to	to	PART
cord-121428-79wyxedn	25	42	conjecture	conjecture	VERB
cord-121428-79wyxedn	25	43	that	that	SCONJ
cord-121428-79wyxedn	25	44	the	the	DET
cord-121428-79wyxedn	25	45	social	social	ADJ
cord-121428-79wyxedn	25	46	behavior	behavior	NOUN
cord-121428-79wyxedn	25	47	of	of	ADP
cord-121428-79wyxedn	25	48	individuals	individual	NOUN
cord-121428-79wyxedn	25	49	is	be	AUX
cord-121428-79wyxedn	25	50	strictly	strictly	ADV
cord-121428-79wyxedn	25	51	affected	affect	VERB
cord-121428-79wyxedn	25	52	by	by	ADP
cord-121428-79wyxedn	25	53	their	their	PRON
cord-121428-79wyxedn	25	54	personal	personal	ADJ
cord-121428-79wyxedn	25	55	feeling	feeling	NOUN
cord-121428-79wyxedn	25	56	in	in	ADP
cord-121428-79wyxedn	25	57	terms	term	NOUN
cord-121428-79wyxedn	25	58	of	of	ADP
cord-121428-79wyxedn	25	59	safeness	safeness	NOUN
cord-121428-79wyxedn	25	60	.	.	PUNCT
cord-121428-79wyxedn	26	1	in	in	ADP
cord-121428-79wyxedn	26	2	this	this	DET
cord-121428-79wyxedn	26	3	work	work	NOUN
cord-121428-79wyxedn	26	4	,	,	PUNCT
cord-121428-79wyxedn	26	5	we	we	PRON
cord-121428-79wyxedn	26	6	focus	focus	VERB
cord-121428-79wyxedn	26	7	on	on	ADP
cord-121428-79wyxedn	26	8	the	the	DET
cord-121428-79wyxedn	26	9	assumption	assumption	NOUN
cord-121428-79wyxedn	26	10	that	that	SCONJ
cord-121428-79wyxedn	26	11	it	it	PRON
cord-121428-79wyxedn	26	12	is	be	AUX
cord-121428-79wyxedn	26	13	the	the	DET
cord-121428-79wyxedn	26	14	degree	degree	NOUN
cord-121428-79wyxedn	26	15	of	of	ADP
cord-121428-79wyxedn	26	16	diffusion	diffusion	NOUN
cord-121428-79wyxedn	26	17	of	of	ADP
cord-121428-79wyxedn	26	18	the	the	DET
cord-121428-79wyxedn	26	19	disease	disease	NOUN
cord-121428-79wyxedn	26	20	that	that	PRON
cord-121428-79wyxedn	26	21	changes	change	VERB
cord-121428-79wyxedn	26	22	people	people	NOUN
cord-121428-79wyxedn	26	23	's	's	PART
cord-121428-79wyxedn	26	24	behavior	behavior	NOUN
cord-121428-79wyxedn	26	25	in	in	ADP
cord-121428-79wyxedn	26	26	terms	term	NOUN
cord-121428-79wyxedn	26	27	of	of	ADP
cord-121428-79wyxedn	26	28	social	social	ADJ
cord-121428-79wyxedn	26	29	contacts	contact	NOUN
cord-121428-79wyxedn	26	30	,	,	PUNCT
cord-121428-79wyxedn	26	31	in	in	ADP
cord-121428-79wyxedn	26	32	view	view	NOUN
cord-121428-79wyxedn	26	33	both	both	PRON
cord-121428-79wyxedn	26	34	of	of	ADP
cord-121428-79wyxedn	26	35	the	the	DET
cord-121428-79wyxedn	26	36	personal	personal	ADJ
cord-121428-79wyxedn	26	37	perception	perception	NOUN
cord-121428-79wyxedn	26	38	and/or	and/or	CCONJ
cord-121428-79wyxedn	26	39	of	of	ADP
cord-121428-79wyxedn	26	40	the	the	DET
cord-121428-79wyxedn	26	41	external	external	ADJ
cord-121428-79wyxedn	26	42	government	government	NOUN
cord-121428-79wyxedn	26	43	intervention	intervention	NOUN
cord-121428-79wyxedn	26	44	.	.	PUNCT
cord-121428-79wyxedn	27	1	more	more	ADV
cord-121428-79wyxedn	27	2	generally	generally	ADV
cord-121428-79wyxedn	27	3	,	,	PUNCT
cord-121428-79wyxedn	27	4	the	the	DET
cord-121428-79wyxedn	27	5	model	model	NOUN
cord-121428-79wyxedn	27	6	can	can	AUX
cord-121428-79wyxedn	27	7	be	be	AUX
cord-121428-79wyxedn	27	8	clearly	clearly	ADV
cord-121428-79wyxedn	27	9	extended	extend	VERB
cord-121428-79wyxedn	27	10	to	to	PART
cord-121428-79wyxedn	27	11	consider	consider	VERB
cord-121428-79wyxedn	27	12	more	more	ADV
cord-121428-79wyxedn	27	13	realistic	realistic	ADJ
cord-121428-79wyxedn	27	14	dependencies	dependency	NOUN
cord-121428-79wyxedn	27	15	between	between	ADP
cord-121428-79wyxedn	27	16	an	an	DET
cord-121428-79wyxedn	27	17	epidemic	epidemic	NOUN
cord-121428-79wyxedn	27	18	disease	disease	NOUN
cord-121428-79wyxedn	27	19	and	and	CCONJ
cord-121428-79wyxedn	27	20	the	the	DET
cord-121428-79wyxedn	27	21	social	social	ADJ
cord-121428-79wyxedn	27	22	contacts	contact	NOUN
cord-121428-79wyxedn	27	23	of	of	ADP
cord-121428-79wyxedn	27	24	individuals	individual	NOUN
cord-121428-79wyxedn	27	25	.	.	PUNCT
cord-121428-79wyxedn	28	1	however	however	ADV
cord-121428-79wyxedn	28	2	,	,	PUNCT
cord-121428-79wyxedn	28	3	this	this	PRON
cord-121428-79wyxedn	28	4	does	do	AUX
cord-121428-79wyxedn	28	5	not	not	PART
cord-121428-79wyxedn	28	6	change	change	VERB
cord-121428-79wyxedn	28	7	the	the	DET
cord-121428-79wyxedn	28	8	essential	essential	ADJ
cord-121428-79wyxedn	28	9	conclusions	conclusion	NOUN
cord-121428-79wyxedn	28	10	of	of	ADP
cord-121428-79wyxedn	28	11	our	our	PRON
cord-121428-79wyxedn	28	12	analysis	analysis	NOUN
cord-121428-79wyxedn	28	13	,	,	PUNCT
cord-121428-79wyxedn	28	14	namely	namely	ADV
cord-121428-79wyxedn	28	15	that	that	SCONJ
cord-121428-79wyxedn	28	16	there	there	PRON
cord-121428-79wyxedn	28	17	is	be	VERB
cord-121428-79wyxedn	28	18	a	a	DET
cord-121428-79wyxedn	28	19	close	close	ADJ
cord-121428-79wyxedn	28	20	interplay	interplay	NOUN
cord-121428-79wyxedn	28	21	between	between	ADP
cord-121428-79wyxedn	28	22	the	the	DET
cord-121428-79wyxedn	28	23	spread	spread	NOUN
cord-121428-79wyxedn	28	24	of	of	ADP
cord-121428-79wyxedn	28	25	the	the	DET
cord-121428-79wyxedn	28	26	disease	disease	NOUN
cord-121428-79wyxedn	28	27	and	and	CCONJ
cord-121428-79wyxedn	28	28	the	the	DET
cord-121428-79wyxedn	28	29	distribution	distribution	NOUN
cord-121428-79wyxedn	28	30	of	of	ADP
cord-121428-79wyxedn	28	31	contacts	contact	NOUN
cord-121428-79wyxedn	28	32	,	,	PUNCT
cord-121428-79wyxedn	28	33	that	that	SCONJ
cord-121428-79wyxedn	28	34	the	the	DET
cord-121428-79wyxedn	28	35	kinetic	kinetic	ADJ
cord-121428-79wyxedn	28	36	description	description	NOUN
cord-121428-79wyxedn	28	37	is	be	AUX
cord-121428-79wyxedn	28	38	able	able	ADJ
cord-121428-79wyxedn	28	39	to	to	PART
cord-121428-79wyxedn	28	40	quantify	quantify	VERB
cord-121428-79wyxedn	28	41	.	.	PUNCT
cord-121428-79wyxedn	29	1	the	the	DET
cord-121428-79wyxedn	29	2	encouraging	encouraging	ADJ
cord-121428-79wyxedn	29	3	results	result	NOUN
cord-121428-79wyxedn	29	4	described	describe	VERB
cord-121428-79wyxedn	29	5	in	in	ADP
cord-121428-79wyxedn	29	6	the	the	DET
cord-121428-79wyxedn	29	7	rest	rest	NOUN
cord-121428-79wyxedn	29	8	of	of	ADP
cord-121428-79wyxedn	29	9	the	the	DET
cord-121428-79wyxedn	29	10	article	article	NOUN
cord-121428-79wyxedn	29	11	,	,	PUNCT
cord-121428-79wyxedn	29	12	finally	finally	ADV
cord-121428-79wyxedn	29	13	suggest	suggest	VERB
cord-121428-79wyxedn	29	14	that	that	SCONJ
cord-121428-79wyxedn	29	15	a	a	DET
cord-121428-79wyxedn	29	16	similar	similar	ADJ
cord-121428-79wyxedn	29	17	analysis	analysis	NOUN
cord-121428-79wyxedn	29	18	can	can	AUX
cord-121428-79wyxedn	29	19	be	be	AUX
cord-121428-79wyxedn	29	20	carried	carry	VERB
cord-121428-79wyxedn	29	21	out	out	ADP
cord-121428-79wyxedn	29	22	,	,	PUNCT
cord-121428-79wyxedn	29	23	at	at	ADP
cord-121428-79wyxedn	29	24	the	the	DET
cord-121428-79wyxedn	29	25	price	price	NOUN
cord-121428-79wyxedn	29	26	of	of	ADP
cord-121428-79wyxedn	29	27	an	an	DET
cord-121428-79wyxedn	29	28	increasing	increase	VERB
cord-121428-79wyxedn	29	29	difficulty	difficulty	NOUN
cord-121428-79wyxedn	29	30	in	in	ADP
cord-121428-79wyxedn	29	31	computations	computation	NOUN
cord-121428-79wyxedn	29	32	,	,	PUNCT
cord-121428-79wyxedn	29	33	in	in	ADP
cord-121428-79wyxedn	29	34	more	more	ADV
cord-121428-79wyxedn	29	35	complex	complex	ADJ
cord-121428-79wyxedn	29	36	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	29	37	models	model	NOUN
cord-121428-79wyxedn	29	38	like	like	ADP
cord-121428-79wyxedn	29	39	the	the	DET
cord-121428-79wyxedn	29	40	sidarthe	sidarthe	ADJ
cord-121428-79wyxedn	29	41	model	model	NOUN
cord-121428-79wyxedn	30	1	[	[	PUNCT
cord-121428-79wyxedn	30	2	25	25	NUM
cord-121428-79wyxedn	30	3	,	,	PUNCT
cord-121428-79wyxedn	30	4	26	26	NUM
cord-121428-79wyxedn	30	5	]	]	PUNCT
cord-121428-79wyxedn	30	6	,	,	PUNCT
cord-121428-79wyxedn	30	7	recently	recently	ADV
cord-121428-79wyxedn	30	8	used	use	VERB
cord-121428-79wyxedn	30	9	to	to	PART
cord-121428-79wyxedn	30	10	simulate	simulate	VERB
cord-121428-79wyxedn	30	11	the	the	DET
cord-121428-79wyxedn	30	12	covid-19	covid-19	PROPN
cord-121428-79wyxedn	30	13	epidemic	epidemic	NOUN
cord-121428-79wyxedn	30	14	in	in	ADP
cord-121428-79wyxedn	30	15	italy	italy	PROPN
cord-121428-79wyxedn	30	16	to	to	PART
cord-121428-79wyxedn	30	17	validate	validate	VERB
cord-121428-79wyxedn	30	18	and	and	CCONJ
cord-121428-79wyxedn	30	19	improve	improve	VERB
cord-121428-79wyxedn	30	20	the	the	DET
cord-121428-79wyxedn	30	21	eventual	eventual	ADJ
cord-121428-79wyxedn	30	22	partial	partial	ADJ
cord-121428-79wyxedn	30	23	lockdown	lockdown	NOUN
cord-121428-79wyxedn	30	24	strategies	strategy	NOUN
cord-121428-79wyxedn	30	25	of	of	ADP
cord-121428-79wyxedn	30	26	the	the	DET
cord-121428-79wyxedn	30	27	government	government	NOUN
cord-121428-79wyxedn	30	28	and	and	CCONJ
cord-121428-79wyxedn	30	29	to	to	PART
cord-121428-79wyxedn	30	30	suggest	suggest	VERB
cord-121428-79wyxedn	30	31	future	future	ADJ
cord-121428-79wyxedn	30	32	measures	measure	NOUN
cord-121428-79wyxedn	30	33	.	.	PUNCT
cord-121428-79wyxedn	31	1	the	the	DET
cord-121428-79wyxedn	31	2	rest	rest	NOUN
cord-121428-79wyxedn	31	3	of	of	ADP
cord-121428-79wyxedn	31	4	the	the	DET
cord-121428-79wyxedn	31	5	paper	paper	NOUN
cord-121428-79wyxedn	31	6	is	be	AUX
cord-121428-79wyxedn	31	7	organized	organize	VERB
cord-121428-79wyxedn	31	8	as	as	SCONJ
cord-121428-79wyxedn	31	9	follows	follow	VERB
cord-121428-79wyxedn	31	10	.	.	PUNCT
cord-121428-79wyxedn	32	1	section	section	NOUN
cord-121428-79wyxedn	32	2	2	2	NUM
cord-121428-79wyxedn	32	3	introduces	introduce	VERB
cord-121428-79wyxedn	32	4	the	the	DET
cord-121428-79wyxedn	32	5	system	system	NOUN
cord-121428-79wyxedn	32	6	of	of	ADP
cord-121428-79wyxedn	32	7	three	three	NUM
cord-121428-79wyxedn	32	8	sirtype	sirtype	NOUN
cord-121428-79wyxedn	32	9	kinetic	kinetic	NOUN
cord-121428-79wyxedn	32	10	equations	equation	NOUN
cord-121428-79wyxedn	32	11	combining	combine	VERB
cord-121428-79wyxedn	32	12	the	the	DET
cord-121428-79wyxedn	32	13	dynamics	dynamic	NOUN
cord-121428-79wyxedn	32	14	of	of	ADP
cord-121428-79wyxedn	32	15	social	social	ADJ
cord-121428-79wyxedn	32	16	contacts	contact	NOUN
cord-121428-79wyxedn	32	17	with	with	ADP
cord-121428-79wyxedn	32	18	the	the	DET
cord-121428-79wyxedn	32	19	spread	spread	NOUN
cord-121428-79wyxedn	32	20	of	of	ADP
cord-121428-79wyxedn	32	21	infectious	infectious	ADJ
cord-121428-79wyxedn	32	22	disease	disease	NOUN
cord-121428-79wyxedn	32	23	in	in	ADP
cord-121428-79wyxedn	32	24	a	a	DET
cord-121428-79wyxedn	32	25	system	system	NOUN
cord-121428-79wyxedn	32	26	of	of	ADP
cord-121428-79wyxedn	32	27	interacting	interact	VERB
cord-121428-79wyxedn	32	28	individuals	individual	NOUN
cord-121428-79wyxedn	32	29	.	.	PUNCT
cord-121428-79wyxedn	33	1	then	then	ADV
cord-121428-79wyxedn	33	2	,	,	PUNCT
cord-121428-79wyxedn	33	3	in	in	ADP
cord-121428-79wyxedn	33	4	section	section	NOUN
cord-121428-79wyxedn	33	5	3	3	NUM
cord-121428-79wyxedn	33	6	we	we	PRON
cord-121428-79wyxedn	33	7	show	show	VERB
cord-121428-79wyxedn	33	8	that	that	SCONJ
cord-121428-79wyxedn	33	9	in	in	ADP
cord-121428-79wyxedn	33	10	a	a	DET
cord-121428-79wyxedn	33	11	suitable	suitable	ADJ
cord-121428-79wyxedn	33	12	asymptotic	asymptotic	ADJ
cord-121428-79wyxedn	33	13	procedure	procedure	NOUN
cord-121428-79wyxedn	33	14	the	the	DET
cord-121428-79wyxedn	33	15	solution	solution	NOUN
cord-121428-79wyxedn	33	16	to	to	ADP
cord-121428-79wyxedn	33	17	the	the	DET
cord-121428-79wyxedn	33	18	kinetic	kinetic	NOUN
cord-121428-79wyxedn	33	19	system	system	NOUN
cord-121428-79wyxedn	33	20	tends	tend	VERB
cord-121428-79wyxedn	33	21	towards	towards	ADP
cord-121428-79wyxedn	33	22	the	the	DET
cord-121428-79wyxedn	33	23	solution	solution	NOUN
cord-121428-79wyxedn	33	24	of	of	ADP
cord-121428-79wyxedn	33	25	a	a	DET
cord-121428-79wyxedn	33	26	system	system	NOUN
cord-121428-79wyxedn	33	27	of	of	ADP
cord-121428-79wyxedn	33	28	three	three	NUM
cord-121428-79wyxedn	33	29	sir	sir	NOUN
cord-121428-79wyxedn	33	30	-	-	PUNCT
cord-121428-79wyxedn	33	31	type	type	NOUN
cord-121428-79wyxedn	33	32	fokker	fokker	NOUN
cord-121428-79wyxedn	33	33	-	-	PUNCT
cord-121428-79wyxedn	33	34	planck	planck	NOUN
cord-121428-79wyxedn	33	35	type	type	NOUN
cord-121428-79wyxedn	33	36	equations	equation	NOUN
cord-121428-79wyxedn	33	37	with	with	ADP
cord-121428-79wyxedn	33	38	local	local	ADJ
cord-121428-79wyxedn	33	39	equilibria	equilibrium	NOUN
cord-121428-79wyxedn	33	40	of	of	ADP
cord-121428-79wyxedn	33	41	gamma	gamma	NOUN
cord-121428-79wyxedn	33	42	-	-	PUNCT
cord-121428-79wyxedn	33	43	type	type	NOUN
cord-121428-79wyxedn	33	44	[	[	X
cord-121428-79wyxedn	33	45	3	3	NUM
cord-121428-79wyxedn	33	46	]	]	PUNCT
cord-121428-79wyxedn	33	47	.	.	PUNCT
cord-121428-79wyxedn	34	1	once	once	SCONJ
cord-121428-79wyxedn	34	2	the	the	DET
cord-121428-79wyxedn	34	3	system	system	NOUN
cord-121428-79wyxedn	34	4	of	of	ADP
cord-121428-79wyxedn	34	5	fokker	fokker	NOUN
cord-121428-79wyxedn	34	6	-	-	PUNCT
cord-121428-79wyxedn	34	7	planck	planck	NOUN
cord-121428-79wyxedn	34	8	type	type	NOUN
cord-121428-79wyxedn	34	9	equations	equation	NOUN
cord-121428-79wyxedn	34	10	has	have	AUX
cord-121428-79wyxedn	34	11	been	be	AUX
cord-121428-79wyxedn	34	12	derived	derive	VERB
cord-121428-79wyxedn	34	13	,	,	PUNCT
cord-121428-79wyxedn	34	14	in	in	ADP
cord-121428-79wyxedn	34	15	section	section	NOUN
cord-121428-79wyxedn	34	16	4	4	NUM
cord-121428-79wyxedn	34	17	we	we	PRON
cord-121428-79wyxedn	34	18	close	close	VERB
cord-121428-79wyxedn	34	19	the	the	DET
cord-121428-79wyxedn	34	20	sir	sir	NOUN
cord-121428-79wyxedn	34	21	-	-	PUNCT
cord-121428-79wyxedn	34	22	type	type	NOUN
cord-121428-79wyxedn	34	23	system	system	NOUN
cord-121428-79wyxedn	34	24	of	of	ADP
cord-121428-79wyxedn	34	25	kinetic	kinetic	ADJ
cord-121428-79wyxedn	34	26	equations	equation	NOUN
cord-121428-79wyxedn	34	27	around	around	ADP
cord-121428-79wyxedn	34	28	the	the	DET
cord-121428-79wyxedn	34	29	gamma	gamma	NOUN
cord-121428-79wyxedn	34	30	-	-	PUNCT
cord-121428-79wyxedn	34	31	type	type	NOUN
cord-121428-79wyxedn	34	32	equilibria	equilibrium	NOUN
cord-121428-79wyxedn	34	33	to	to	PART
cord-121428-79wyxedn	34	34	obtain	obtain	VERB
cord-121428-79wyxedn	34	35	a	a	DET
cord-121428-79wyxedn	34	36	sir	sir	NOUN
cord-121428-79wyxedn	34	37	model	model	NOUN
cord-121428-79wyxedn	34	38	in	in	ADP
cord-121428-79wyxedn	34	39	which	which	PRON
cord-121428-79wyxedn	34	40	the	the	DET
cord-121428-79wyxedn	34	41	presence	presence	NOUN
cord-121428-79wyxedn	34	42	and	and	CCONJ
cord-121428-79wyxedn	34	43	consequently	consequently	ADV
cord-121428-79wyxedn	34	44	the	the	DET
cord-121428-79wyxedn	34	45	evolution	evolution	NOUN
cord-121428-79wyxedn	34	46	of	of	ADP
cord-121428-79wyxedn	34	47	the	the	DET
cord-121428-79wyxedn	34	48	social	social	ADJ
cord-121428-79wyxedn	34	49	contacts	contact	NOUN
cord-121428-79wyxedn	34	50	leads	lead	VERB
cord-121428-79wyxedn	34	51	to	to	ADP
cord-121428-79wyxedn	34	52	a	a	DET
cord-121428-79wyxedn	34	53	non	non	ADJ
cord-121428-79wyxedn	34	54	-	-	ADJ
cord-121428-79wyxedn	34	55	linear	linear	ADJ
cord-121428-79wyxedn	34	56	incidence	incidence	NOUN
cord-121428-79wyxedn	34	57	rate	rate	NOUN
cord-121428-79wyxedn	34	58	of	of	ADP
cord-121428-79wyxedn	34	59	the	the	DET
cord-121428-79wyxedn	34	60	infectious	infectious	ADJ
cord-121428-79wyxedn	34	61	disease	disease	NOUN
cord-121428-79wyxedn	34	62	satisfying	satisfy	VERB
cord-121428-79wyxedn	34	63	the	the	DET
cord-121428-79wyxedn	34	64	compatibility	compatibility	NOUN
cord-121428-79wyxedn	34	65	conditions	condition	NOUN
cord-121428-79wyxedn	34	66	introduced	introduce	VERB
cord-121428-79wyxedn	34	67	in	in	ADP
cord-121428-79wyxedn	34	68	[	[	X
cord-121428-79wyxedn	34	69	33	33	NUM
cord-121428-79wyxedn	34	70	]	]	PUNCT
cord-121428-79wyxedn	34	71	.	.	PUNCT
cord-121428-79wyxedn	35	1	last	last	ADJ
cord-121428-79wyxedn	35	2	,	,	PUNCT
cord-121428-79wyxedn	35	3	in	in	ADP
cord-121428-79wyxedn	35	4	section	section	NOUN
cord-121428-79wyxedn	35	5	5	5	NUM
cord-121428-79wyxedn	35	6	,	,	PUNCT
cord-121428-79wyxedn	35	7	we	we	PRON
cord-121428-79wyxedn	35	8	investigate	investigate	VERB
cord-121428-79wyxedn	35	9	at	at	ADP
cord-121428-79wyxedn	35	10	a	a	DET
cord-121428-79wyxedn	35	11	numerical	numerical	ADJ
cord-121428-79wyxedn	35	12	level	level	NOUN
cord-121428-79wyxedn	35	13	the	the	DET
cord-121428-79wyxedn	35	14	relationships	relationship	NOUN
cord-121428-79wyxedn	35	15	between	between	ADP
cord-121428-79wyxedn	35	16	the	the	DET
cord-121428-79wyxedn	35	17	solutions	solution	NOUN
cord-121428-79wyxedn	35	18	of	of	ADP
cord-121428-79wyxedn	35	19	the	the	DET
cord-121428-79wyxedn	35	20	kinetic	kinetic	NOUN
cord-121428-79wyxedn	35	21	system	system	NOUN
cord-121428-79wyxedn	35	22	of	of	ADP
cord-121428-79wyxedn	35	23	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	35	24	type	type	PROPN
cord-121428-79wyxedn	35	25	,	,	PUNCT
cord-121428-79wyxedn	35	26	its	its	PRON
cord-121428-79wyxedn	35	27	fokker	fokker	NOUN
cord-121428-79wyxedn	35	28	-	-	PUNCT
cord-121428-79wyxedn	35	29	planck	planck	NOUN
cord-121428-79wyxedn	35	30	asymptotics	asymptotic	NOUN
cord-121428-79wyxedn	35	31	and	and	CCONJ
cord-121428-79wyxedn	35	32	the	the	DET
cord-121428-79wyxedn	35	33	sir	sir	PROPN
cord-121428-79wyxedn	35	34	model	model	NOUN
cord-121428-79wyxedn	35	35	.	.	PUNCT
cord-121428-79wyxedn	36	1	these	these	DET
cord-121428-79wyxedn	36	2	simulations	simulation	NOUN
cord-121428-79wyxedn	36	3	confirm	confirm	VERB
cord-121428-79wyxedn	36	4	the	the	DET
cord-121428-79wyxedn	36	5	ability	ability	NOUN
cord-121428-79wyxedn	36	6	of	of	ADP
cord-121428-79wyxedn	36	7	the	the	DET
cord-121428-79wyxedn	36	8	model	model	NOUN
cord-121428-79wyxedn	36	9	to	to	PART
cord-121428-79wyxedn	36	10	describe	describe	VERB
cord-121428-79wyxedn	36	11	different	different	ADJ
cord-121428-79wyxedn	36	12	phenomena	phenomena	NOUN
cord-121428-79wyxedn	36	13	characteristic	characteristic	ADJ
cord-121428-79wyxedn	36	14	of	of	ADP
cord-121428-79wyxedn	36	15	the	the	DET
cord-121428-79wyxedn	36	16	trend	trend	NOUN
cord-121428-79wyxedn	36	17	of	of	ADP
cord-121428-79wyxedn	36	18	social	social	ADJ
cord-121428-79wyxedn	36	19	contacts	contact	NOUN
cord-121428-79wyxedn	36	20	in	in	ADP
cord-121428-79wyxedn	36	21	situations	situation	NOUN
cord-121428-79wyxedn	36	22	compromised	compromise	VERB
cord-121428-79wyxedn	36	23	by	by	ADP
cord-121428-79wyxedn	36	24	the	the	DET
cord-121428-79wyxedn	36	25	rapid	rapid	ADJ
cord-121428-79wyxedn	36	26	spread	spread	NOUN
cord-121428-79wyxedn	36	27	of	of	ADP
cord-121428-79wyxedn	36	28	an	an	DET
cord-121428-79wyxedn	36	29	epidemic	epidemic	NOUN
cord-121428-79wyxedn	36	30	,	,	PUNCT
cord-121428-79wyxedn	36	31	and	and	CCONJ
cord-121428-79wyxedn	36	32	the	the	DET
cord-121428-79wyxedn	36	33	consequences	consequence	NOUN
cord-121428-79wyxedn	36	34	of	of	ADP
cord-121428-79wyxedn	36	35	various	various	ADJ
cord-121428-79wyxedn	36	36	lockdown	lockdown	NOUN
cord-121428-79wyxedn	36	37	action	action	NOUN
cord-121428-79wyxedn	36	38	in	in	ADP
cord-121428-79wyxedn	36	39	its	its	PRON
cord-121428-79wyxedn	36	40	evolution	evolution	NOUN
cord-121428-79wyxedn	36	41	.	.	PUNCT
cord-121428-79wyxedn	37	1	a	a	DET
cord-121428-79wyxedn	37	2	last	last	ADJ
cord-121428-79wyxedn	37	3	part	part	NOUN
cord-121428-79wyxedn	37	4	is	be	AUX
cord-121428-79wyxedn	37	5	sacred	sacred	ADJ
cord-121428-79wyxedn	37	6	to	to	ADP
cord-121428-79wyxedn	37	7	a	a	DET
cord-121428-79wyxedn	37	8	fitting	fitting	NOUN
cord-121428-79wyxedn	37	9	of	of	ADP
cord-121428-79wyxedn	37	10	the	the	DET
cord-121428-79wyxedn	37	11	model	model	NOUN
cord-121428-79wyxedn	37	12	with	with	ADP
cord-121428-79wyxedn	37	13	the	the	DET
cord-121428-79wyxedn	37	14	experimental	experimental	ADJ
cord-121428-79wyxedn	37	15	data	datum	NOUN
cord-121428-79wyxedn	37	16	by	by	ADP
cord-121428-79wyxedn	37	17	first	first	ADV
cord-121428-79wyxedn	37	18	estimating	estimate	VERB
cord-121428-79wyxedn	37	19	the	the	DET
cord-121428-79wyxedn	37	20	parameters	parameter	NOUN
cord-121428-79wyxedn	37	21	of	of	ADP
cord-121428-79wyxedn	37	22	the	the	DET
cord-121428-79wyxedn	37	23	epidemic	epidemic	NOUN
cord-121428-79wyxedn	37	24	through	through	ADP
cord-121428-79wyxedn	37	25	data	datum	NOUN
cord-121428-79wyxedn	37	26	and	and	CCONJ
cord-121428-79wyxedn	37	27	successively	successively	ADV
cord-121428-79wyxedn	37	28	by	by	ADP
cord-121428-79wyxedn	37	29	using	use	VERB
cord-121428-79wyxedn	37	30	these	these	DET
cord-121428-79wyxedn	37	31	parameters	parameter	NOUN
cord-121428-79wyxedn	37	32	in	in	ADP
cord-121428-79wyxedn	37	33	the	the	DET
cord-121428-79wyxedn	37	34	kinetic	kinetic	ADJ
cord-121428-79wyxedn	37	35	model	model	NOUN
cord-121428-79wyxedn	37	36	.	.	PUNCT
cord-121428-79wyxedn	38	1	our	our	PRON
cord-121428-79wyxedn	38	2	first	first	ADJ
cord-121428-79wyxedn	38	3	goal	goal	NOUN
cord-121428-79wyxedn	38	4	is	be	AUX
cord-121428-79wyxedn	38	5	to	to	PART
cord-121428-79wyxedn	38	6	build	build	VERB
cord-121428-79wyxedn	38	7	a	a	DET
cord-121428-79wyxedn	38	8	kinetic	kinetic	NOUN
cord-121428-79wyxedn	38	9	system	system	NOUN
cord-121428-79wyxedn	38	10	which	which	PRON
cord-121428-79wyxedn	38	11	suitably	suitably	ADV
cord-121428-79wyxedn	38	12	describes	describe	VERB
cord-121428-79wyxedn	38	13	the	the	DET
cord-121428-79wyxedn	38	14	spreading	spreading	NOUN
cord-121428-79wyxedn	38	15	of	of	ADP
cord-121428-79wyxedn	38	16	an	an	DET
cord-121428-79wyxedn	38	17	infectious	infectious	ADJ
cord-121428-79wyxedn	38	18	disease	disease	NOUN
cord-121428-79wyxedn	38	19	under	under	ADP
cord-121428-79wyxedn	38	20	a	a	DET
cord-121428-79wyxedn	38	21	dependence	dependence	NOUN
cord-121428-79wyxedn	38	22	of	of	ADP
cord-121428-79wyxedn	38	23	the	the	DET
cord-121428-79wyxedn	38	24	contagiousness	contagiousness	ADJ
cord-121428-79wyxedn	38	25	parameters	parameter	NOUN
cord-121428-79wyxedn	38	26	on	on	ADP
cord-121428-79wyxedn	38	27	the	the	DET
cord-121428-79wyxedn	38	28	individual	individual	ADJ
cord-121428-79wyxedn	38	29	number	number	NOUN
cord-121428-79wyxedn	38	30	of	of	ADP
cord-121428-79wyxedn	38	31	social	social	ADJ
cord-121428-79wyxedn	38	32	contacts	contact	NOUN
cord-121428-79wyxedn	38	33	of	of	ADP
cord-121428-79wyxedn	38	34	the	the	DET
cord-121428-79wyxedn	38	35	agents	agent	NOUN
cord-121428-79wyxedn	38	36	.	.	PUNCT
cord-121428-79wyxedn	39	1	as	as	ADP
cord-121428-79wyxedn	39	2	in	in	ADP
cord-121428-79wyxedn	39	3	classical	classical	ADJ
cord-121428-79wyxedn	39	4	sir	sir	NOUN
cord-121428-79wyxedn	39	5	models	model	NOUN
cord-121428-79wyxedn	39	6	[	[	X
cord-121428-79wyxedn	39	7	29	29	NUM
cord-121428-79wyxedn	39	8	]	]	PUNCT
cord-121428-79wyxedn	39	9	,	,	PUNCT
cord-121428-79wyxedn	39	10	the	the	DET
cord-121428-79wyxedn	39	11	entire	entire	ADJ
cord-121428-79wyxedn	39	12	population	population	NOUN
cord-121428-79wyxedn	39	13	is	be	AUX
cord-121428-79wyxedn	39	14	divided	divide	VERB
cord-121428-79wyxedn	39	15	into	into	ADP
cord-121428-79wyxedn	39	16	three	three	NUM
cord-121428-79wyxedn	39	17	classes	class	NOUN
cord-121428-79wyxedn	39	18	:	:	PUNCT
cord-121428-79wyxedn	39	19	susceptible	susceptible	ADJ
cord-121428-79wyxedn	39	20	,	,	PUNCT
cord-121428-79wyxedn	39	21	infected	infect	VERB
cord-121428-79wyxedn	39	22	and	and	CCONJ
cord-121428-79wyxedn	39	23	recovered	recover	VERB
cord-121428-79wyxedn	39	24	individuals	individual	NOUN
cord-121428-79wyxedn	39	25	.	.	PUNCT
cord-121428-79wyxedn	40	1	aiming	aim	VERB
cord-121428-79wyxedn	40	2	to	to	PART
cord-121428-79wyxedn	40	3	understand	understand	VERB
cord-121428-79wyxedn	40	4	social	social	ADJ
cord-121428-79wyxedn	40	5	contacts	contact	NOUN
cord-121428-79wyxedn	40	6	effects	effect	NOUN
cord-121428-79wyxedn	40	7	on	on	ADP
cord-121428-79wyxedn	40	8	the	the	DET
cord-121428-79wyxedn	40	9	dynamics	dynamic	NOUN
cord-121428-79wyxedn	40	10	,	,	PUNCT
cord-121428-79wyxedn	40	11	we	we	PRON
cord-121428-79wyxedn	40	12	will	will	AUX
cord-121428-79wyxedn	40	13	not	not	PART
cord-121428-79wyxedn	40	14	consider	consider	VERB
cord-121428-79wyxedn	40	15	in	in	ADP
cord-121428-79wyxedn	40	16	the	the	DET
cord-121428-79wyxedn	40	17	sequel	sequel	NOUN
cord-121428-79wyxedn	40	18	the	the	DET
cord-121428-79wyxedn	40	19	role	role	NOUN
cord-121428-79wyxedn	40	20	of	of	ADP
cord-121428-79wyxedn	40	21	heterogeneity	heterogeneity	NOUN
cord-121428-79wyxedn	40	22	in	in	ADP
cord-121428-79wyxedn	40	23	the	the	DET
cord-121428-79wyxedn	40	24	disease	disease	NOUN
cord-121428-79wyxedn	40	25	parameters	parameter	NOUN
cord-121428-79wyxedn	40	26	(	(	PUNCT
cord-121428-79wyxedn	40	27	such	such	ADJ
cord-121428-79wyxedn	40	28	as	as	ADP
cord-121428-79wyxedn	40	29	the	the	DET
cord-121428-79wyxedn	40	30	personal	personal	ADJ
cord-121428-79wyxedn	40	31	susceptibility	susceptibility	NOUN
cord-121428-79wyxedn	40	32	to	to	ADP
cord-121428-79wyxedn	40	33	a	a	DET
cord-121428-79wyxedn	40	34	given	give	VERB
cord-121428-79wyxedn	40	35	disease	disease	NOUN
cord-121428-79wyxedn	40	36	)	)	PUNCT
cord-121428-79wyxedn	40	37	,	,	PUNCT
cord-121428-79wyxedn	40	38	which	which	PRON
cord-121428-79wyxedn	40	39	could	could	AUX
cord-121428-79wyxedn	40	40	be	be	AUX
cord-121428-79wyxedn	40	41	derived	derive	VERB
cord-121428-79wyxedn	40	42	from	from	ADP
cord-121428-79wyxedn	40	43	the	the	DET
cord-121428-79wyxedn	40	44	classical	classical	ADJ
cord-121428-79wyxedn	40	45	sir	sir	NOUN
cord-121428-79wyxedn	40	46	model	model	NOUN
cord-121428-79wyxedn	40	47	,	,	PUNCT
cord-121428-79wyxedn	40	48	suitably	suitably	ADV
cord-121428-79wyxedn	40	49	adjusted	adjust	VERB
cord-121428-79wyxedn	40	50	to	to	PART
cord-121428-79wyxedn	40	51	account	account	VERB
cord-121428-79wyxedn	40	52	for	for	ADP
cord-121428-79wyxedn	40	53	new	new	ADJ
cord-121428-79wyxedn	40	54	information	information	NOUN
cord-121428-79wyxedn	40	55	[	[	PUNCT
cord-121428-79wyxedn	40	56	12	12	NUM
cord-121428-79wyxedn	40	57	,	,	PUNCT
cord-121428-79wyxedn	40	58	38	38	NUM
cord-121428-79wyxedn	40	59	,	,	PUNCT
cord-121428-79wyxedn	40	60	48	48	NUM
cord-121428-79wyxedn	40	61	]	]	PUNCT
cord-121428-79wyxedn	40	62	.	.	PUNCT
cord-121428-79wyxedn	41	1	consequently	consequently	ADV
cord-121428-79wyxedn	41	2	,	,	PUNCT
cord-121428-79wyxedn	41	3	agents	agent	NOUN
cord-121428-79wyxedn	41	4	in	in	ADP
cord-121428-79wyxedn	41	5	the	the	DET
cord-121428-79wyxedn	41	6	system	system	NOUN
cord-121428-79wyxedn	41	7	are	be	AUX
cord-121428-79wyxedn	41	8	considered	consider	VERB
cord-121428-79wyxedn	41	9	indistinguishable	indistinguishable	ADJ
cord-121428-79wyxedn	41	10	[	[	X
cord-121428-79wyxedn	41	11	40	40	NUM
cord-121428-79wyxedn	41	12	]	]	PUNCT
cord-121428-79wyxedn	41	13	.	.	PUNCT
cord-121428-79wyxedn	42	1	this	this	PRON
cord-121428-79wyxedn	42	2	means	mean	VERB
cord-121428-79wyxedn	42	3	that	that	SCONJ
cord-121428-79wyxedn	42	4	the	the	DET
cord-121428-79wyxedn	42	5	state	state	NOUN
cord-121428-79wyxedn	42	6	of	of	ADP
cord-121428-79wyxedn	42	7	a	a	DET
cord-121428-79wyxedn	42	8	person	person	NOUN
cord-121428-79wyxedn	42	9	in	in	ADP
cord-121428-79wyxedn	42	10	each	each	DET
cord-121428-79wyxedn	42	11	class	class	NOUN
cord-121428-79wyxedn	42	12	at	at	ADP
cord-121428-79wyxedn	42	13	any	any	DET
cord-121428-79wyxedn	42	14	instant	instant	NOUN
cord-121428-79wyxedn	42	15	of	of	ADP
cord-121428-79wyxedn	42	16	time	time	NOUN
cord-121428-79wyxedn	42	17	t	t	NOUN
cord-121428-79wyxedn	42	18	≥	≥	NOUN
cord-121428-79wyxedn	42	19	0	0	PUNCT
cord-121428-79wyxedn	42	20	is	be	AUX
cord-121428-79wyxedn	42	21	completely	completely	ADV
cord-121428-79wyxedn	42	22	characterized	characterize	VERB
cord-121428-79wyxedn	42	23	by	by	ADP
cord-121428-79wyxedn	42	24	the	the	DET
cord-121428-79wyxedn	42	25	number	number	NOUN
cord-121428-79wyxedn	42	26	of	of	ADP
cord-121428-79wyxedn	42	27	contacts	contact	NOUN
cord-121428-79wyxedn	42	28	x	x	NOUN
cord-121428-79wyxedn	42	29	≥	≥	NOUN
cord-121428-79wyxedn	42	30	0	0	NUM
cord-121428-79wyxedn	42	31	,	,	PUNCT
cord-121428-79wyxedn	42	32	measured	measure	VERB
cord-121428-79wyxedn	42	33	in	in	ADP
cord-121428-79wyxedn	42	34	some	some	DET
cord-121428-79wyxedn	42	35	unit	unit	NOUN
cord-121428-79wyxedn	42	36	.	.	PUNCT
cord-121428-79wyxedn	43	1	while	while	SCONJ
cord-121428-79wyxedn	43	2	x	x	NUM
cord-121428-79wyxedn	43	3	is	be	VERB
cord-121428-79wyxedn	43	4	a	a	DET
cord-121428-79wyxedn	43	5	natural	natural	ADJ
cord-121428-79wyxedn	43	6	positive	positive	ADJ
cord-121428-79wyxedn	43	7	number	number	NOUN
cord-121428-79wyxedn	43	8	at	at	ADP
cord-121428-79wyxedn	43	9	the	the	DET
cord-121428-79wyxedn	43	10	individual	individual	ADJ
cord-121428-79wyxedn	43	11	level	level	NOUN
cord-121428-79wyxedn	43	12	,	,	PUNCT
cord-121428-79wyxedn	43	13	without	without	ADP
cord-121428-79wyxedn	43	14	loss	loss	NOUN
cord-121428-79wyxedn	43	15	of	of	ADP
cord-121428-79wyxedn	43	16	generality	generality	NOUN
cord-121428-79wyxedn	43	17	we	we	PRON
cord-121428-79wyxedn	43	18	will	will	AUX
cord-121428-79wyxedn	43	19	consider	consider	VERB
cord-121428-79wyxedn	43	20	x	x	PUNCT
cord-121428-79wyxedn	43	21	in	in	ADP
cord-121428-79wyxedn	43	22	the	the	DET
cord-121428-79wyxedn	43	23	rest	rest	NOUN
cord-121428-79wyxedn	43	24	of	of	ADP
cord-121428-79wyxedn	43	25	the	the	DET
cord-121428-79wyxedn	43	26	paper	paper	NOUN
cord-121428-79wyxedn	43	27	to	to	PART
cord-121428-79wyxedn	43	28	be	be	AUX
cord-121428-79wyxedn	43	29	a	a	DET
cord-121428-79wyxedn	43	30	nonnegative	nonnegative	ADJ
cord-121428-79wyxedn	43	31	real	real	ADJ
cord-121428-79wyxedn	43	32	number	number	NOUN
cord-121428-79wyxedn	43	33	,	,	PUNCT
cord-121428-79wyxedn	43	34	x	x	NOUN
cord-121428-79wyxedn	43	35	∈	∈	NOUN
cord-121428-79wyxedn	43	36	r	r	NOUN
cord-121428-79wyxedn	43	37	+	+	CCONJ
cord-121428-79wyxedn	43	38	,	,	PUNCT
cord-121428-79wyxedn	43	39	at	at	ADP
cord-121428-79wyxedn	43	40	the	the	DET
cord-121428-79wyxedn	43	41	population	population	NOUN
cord-121428-79wyxedn	43	42	level	level	NOUN
cord-121428-79wyxedn	43	43	.	.	PUNCT
cord-121428-79wyxedn	44	1	we	we	PRON
cord-121428-79wyxedn	44	2	denote	denote	VERB
cord-121428-79wyxedn	44	3	then	then	ADV
cord-121428-79wyxedn	44	4	by	by	ADP
cord-121428-79wyxedn	44	5	f	f	PROPN
cord-121428-79wyxedn	44	6	s	s	PROPN
cord-121428-79wyxedn	44	7	(	(	PUNCT
cord-121428-79wyxedn	44	8	x	x	PROPN
cord-121428-79wyxedn	44	9	,	,	PUNCT
cord-121428-79wyxedn	44	10	t	t	NOUN
cord-121428-79wyxedn	44	11	)	)	PUNCT
cord-121428-79wyxedn	44	12	,	,	PUNCT
cord-121428-79wyxedn	44	13	f	f	PROPN
cord-121428-79wyxedn	44	14	i	i	PROPN
cord-121428-79wyxedn	44	15	(	(	PUNCT
cord-121428-79wyxedn	44	16	x	x	PROPN
cord-121428-79wyxedn	44	17	,	,	PUNCT
cord-121428-79wyxedn	44	18	t	t	NOUN
cord-121428-79wyxedn	44	19	)	)	PUNCT
cord-121428-79wyxedn	44	20	and	and	CCONJ
cord-121428-79wyxedn	44	21	f	f	PROPN
cord-121428-79wyxedn	44	22	r	r	NOUN
cord-121428-79wyxedn	44	23	(	(	PUNCT
cord-121428-79wyxedn	44	24	x	x	PROPN
cord-121428-79wyxedn	44	25	,	,	PUNCT
cord-121428-79wyxedn	44	26	t	t	NOUN
cord-121428-79wyxedn	44	27	)	)	PUNCT
cord-121428-79wyxedn	44	28	,	,	PUNCT
cord-121428-79wyxedn	44	29	the	the	DET
cord-121428-79wyxedn	44	30	distributions	distribution	NOUN
cord-121428-79wyxedn	44	31	at	at	ADP
cord-121428-79wyxedn	44	32	time	time	NOUN
cord-121428-79wyxedn	44	33	t	t	PROPN
cord-121428-79wyxedn	44	34	>	>	X
cord-121428-79wyxedn	44	35	0	0	NUM
cord-121428-79wyxedn	44	36	of	of	ADP
cord-121428-79wyxedn	44	37	the	the	DET
cord-121428-79wyxedn	44	38	number	number	NOUN
cord-121428-79wyxedn	44	39	of	of	ADP
cord-121428-79wyxedn	44	40	social	social	ADJ
cord-121428-79wyxedn	44	41	contacts	contact	NOUN
cord-121428-79wyxedn	44	42	of	of	ADP
cord-121428-79wyxedn	44	43	the	the	DET
cord-121428-79wyxedn	44	44	population	population	NOUN
cord-121428-79wyxedn	44	45	of	of	ADP
cord-121428-79wyxedn	44	46	susceptible	susceptible	ADJ
cord-121428-79wyxedn	44	47	,	,	PUNCT
cord-121428-79wyxedn	44	48	infected	infect	VERB
cord-121428-79wyxedn	44	49	and	and	CCONJ
cord-121428-79wyxedn	44	50	recovered	recover	VERB
cord-121428-79wyxedn	44	51	individuals	individual	NOUN
cord-121428-79wyxedn	44	52	,	,	PUNCT
cord-121428-79wyxedn	44	53	respectively	respectively	ADV
cord-121428-79wyxedn	44	54	.	.	PUNCT
cord-121428-79wyxedn	45	1	the	the	DET
cord-121428-79wyxedn	45	2	distribution	distribution	NOUN
cord-121428-79wyxedn	45	3	of	of	ADP
cord-121428-79wyxedn	45	4	contacts	contact	NOUN
cord-121428-79wyxedn	45	5	of	of	ADP
cord-121428-79wyxedn	45	6	the	the	DET
cord-121428-79wyxedn	45	7	whole	whole	ADJ
cord-121428-79wyxedn	45	8	population	population	NOUN
cord-121428-79wyxedn	45	9	is	be	AUX
cord-121428-79wyxedn	45	10	then	then	ADV
cord-121428-79wyxedn	45	11	recovered	recover	VERB
cord-121428-79wyxedn	45	12	as	as	ADP
cord-121428-79wyxedn	45	13	the	the	DET
cord-121428-79wyxedn	45	14	sum	sum	NOUN
cord-121428-79wyxedn	45	15	of	of	ADP
cord-121428-79wyxedn	45	16	the	the	DET
cord-121428-79wyxedn	45	17	three	three	NUM
cord-121428-79wyxedn	45	18	distributions	distribution	NOUN
cord-121428-79wyxedn	45	19	as	as	SCONJ
cord-121428-79wyxedn	45	20	outlined	outline	VERB
cord-121428-79wyxedn	45	21	in	in	ADP
cord-121428-79wyxedn	45	22	the	the	DET
cord-121428-79wyxedn	45	23	introduction	introduction	NOUN
cord-121428-79wyxedn	45	24	,	,	PUNCT
cord-121428-79wyxedn	45	25	we	we	PRON
cord-121428-79wyxedn	45	26	do	do	AUX
cord-121428-79wyxedn	45	27	not	not	PART
cord-121428-79wyxedn	45	28	consider	consider	VERB
cord-121428-79wyxedn	45	29	for	for	ADP
cord-121428-79wyxedn	45	30	simplicity	simplicity	NOUN
cord-121428-79wyxedn	45	31	of	of	ADP
cord-121428-79wyxedn	45	32	presentation	presentation	NOUN
cord-121428-79wyxedn	45	33	disease	disease	NOUN
cord-121428-79wyxedn	45	34	related	relate	VERB
cord-121428-79wyxedn	45	35	mortality	mortality	NOUN
cord-121428-79wyxedn	45	36	as	as	ADV
cord-121428-79wyxedn	45	37	well	well	ADV
cord-121428-79wyxedn	45	38	as	as	ADP
cord-121428-79wyxedn	45	39	the	the	DET
cord-121428-79wyxedn	45	40	presence	presence	NOUN
cord-121428-79wyxedn	45	41	of	of	ADP
cord-121428-79wyxedn	45	42	asymptomatic	asymptomatic	ADJ
cord-121428-79wyxedn	45	43	individuals	individual	NOUN
cord-121428-79wyxedn	45	44	.	.	PUNCT
cord-121428-79wyxedn	46	1	therefore	therefore	ADV
cord-121428-79wyxedn	46	2	,	,	PUNCT
cord-121428-79wyxedn	46	3	we	we	PRON
cord-121428-79wyxedn	46	4	can	can	AUX
cord-121428-79wyxedn	46	5	fix	fix	VERB
cord-121428-79wyxedn	46	6	the	the	DET
cord-121428-79wyxedn	46	7	total	total	ADJ
cord-121428-79wyxedn	46	8	distribution	distribution	NOUN
cord-121428-79wyxedn	46	9	of	of	ADP
cord-121428-79wyxedn	46	10	social	social	ADJ
cord-121428-79wyxedn	46	11	contacts	contact	NOUN
cord-121428-79wyxedn	46	12	to	to	PART
cord-121428-79wyxedn	46	13	be	be	AUX
cord-121428-79wyxedn	46	14	a	a	DET
cord-121428-79wyxedn	46	15	probability	probability	NOUN
cord-121428-79wyxedn	46	16	density	density	NOUN
cord-121428-79wyxedn	46	17	for	for	ADP
cord-121428-79wyxedn	46	18	all	all	DET
cord-121428-79wyxedn	46	19	times	time	NOUN
cord-121428-79wyxedn	46	20	t	t	NOUN
cord-121428-79wyxedn	46	21	≥	≥	NOUN
cord-121428-79wyxedn	46	22	0	0	NUM
cord-121428-79wyxedn	46	23	as	as	ADP
cord-121428-79wyxedn	46	24	a	a	DET
cord-121428-79wyxedn	46	25	consequence	consequence	NOUN
cord-121428-79wyxedn	46	26	,	,	PUNCT
cord-121428-79wyxedn	46	27	the	the	DET
cord-121428-79wyxedn	46	28	quantities	quantity	NOUN
cord-121428-79wyxedn	46	29	denote	denote	VERB
cord-121428-79wyxedn	46	30	the	the	DET
cord-121428-79wyxedn	46	31	fractions	fraction	NOUN
cord-121428-79wyxedn	46	32	of	of	ADP
cord-121428-79wyxedn	46	33	susceptible	susceptible	ADJ
cord-121428-79wyxedn	46	34	,	,	PUNCT
cord-121428-79wyxedn	46	35	infected	infect	VERB
cord-121428-79wyxedn	46	36	and	and	CCONJ
cord-121428-79wyxedn	46	37	recovered	recover	VERB
cord-121428-79wyxedn	46	38	respectively	respectively	ADV
cord-121428-79wyxedn	46	39	.	.	PUNCT
cord-121428-79wyxedn	47	1	for	for	ADP
cord-121428-79wyxedn	47	2	a	a	DET
cord-121428-79wyxedn	47	3	given	give	VERB
cord-121428-79wyxedn	47	4	constant	constant	ADJ
cord-121428-79wyxedn	47	5	α	α	X
cord-121428-79wyxedn	47	6	>	>	X
cord-121428-79wyxedn	47	7	0	0	NUM
cord-121428-79wyxedn	47	8	,	,	PUNCT
cord-121428-79wyxedn	47	9	we	we	PRON
cord-121428-79wyxedn	47	10	also	also	ADV
cord-121428-79wyxedn	47	11	denote	denote	VERB
cord-121428-79wyxedn	47	12	with	with	ADP
cord-121428-79wyxedn	47	13	m	m	PRON
cord-121428-79wyxedn	47	14	α	α	PROPN
cord-121428-79wyxedn	47	15	(	(	PUNCT
cord-121428-79wyxedn	47	16	t	t	NOUN
cord-121428-79wyxedn	47	17	)	)	PUNCT
cord-121428-79wyxedn	47	18	the	the	DET
cord-121428-79wyxedn	47	19	moment	moment	NOUN
cord-121428-79wyxedn	47	20	of	of	ADP
cord-121428-79wyxedn	47	21	order	order	NOUN
cord-121428-79wyxedn	47	22	α	α	PRON
cord-121428-79wyxedn	47	23	of	of	ADP
cord-121428-79wyxedn	47	24	the	the	DET
cord-121428-79wyxedn	47	25	distribution	distribution	NOUN
cord-121428-79wyxedn	47	26	of	of	ADP
cord-121428-79wyxedn	47	27	the	the	DET
cord-121428-79wyxedn	47	28	number	number	NOUN
cord-121428-79wyxedn	47	29	of	of	ADP
cord-121428-79wyxedn	47	30	contacts	contact	NOUN
cord-121428-79wyxedn	47	31	and	and	CCONJ
cord-121428-79wyxedn	47	32	the	the	DET
cord-121428-79wyxedn	47	33	moments	moment	NOUN
cord-121428-79wyxedn	47	34	of	of	ADP
cord-121428-79wyxedn	47	35	order	order	NOUN
cord-121428-79wyxedn	47	36	α	α	NOUN
cord-121428-79wyxedn	47	37	for	for	ADP
cord-121428-79wyxedn	47	38	the	the	DET
cord-121428-79wyxedn	47	39	distributions	distribution	NOUN
cord-121428-79wyxedn	47	40	of	of	ADP
cord-121428-79wyxedn	47	41	the	the	DET
cord-121428-79wyxedn	47	42	number	number	NOUN
cord-121428-79wyxedn	47	43	of	of	ADP
cord-121428-79wyxedn	47	44	contacts	contact	NOUN
cord-121428-79wyxedn	47	45	for	for	ADP
cord-121428-79wyxedn	47	46	each	each	DET
cord-121428-79wyxedn	47	47	class	class	NOUN
cord-121428-79wyxedn	47	48	unambiguously	unambiguously	ADV
cord-121428-79wyxedn	47	49	,	,	PUNCT
cord-121428-79wyxedn	47	50	we	we	PRON
cord-121428-79wyxedn	47	51	will	will	AUX
cord-121428-79wyxedn	47	52	indicate	indicate	VERB
cord-121428-79wyxedn	47	53	the	the	DET
cord-121428-79wyxedn	47	54	mean	mean	ADJ
cord-121428-79wyxedn	47	55	values	value	NOUN
cord-121428-79wyxedn	47	56	,	,	PUNCT
cord-121428-79wyxedn	47	57	corresponding	correspond	VERB
cord-121428-79wyxedn	47	58	to	to	ADP
cord-121428-79wyxedn	47	59	α	α	PROPN
cord-121428-79wyxedn	47	60	=	=	NOUN
cord-121428-79wyxedn	47	61	1	1	NUM
cord-121428-79wyxedn	47	62	,	,	PUNCT
cord-121428-79wyxedn	47	63	by	by	ADP
cord-121428-79wyxedn	47	64	m(t	m(t	NOUN
cord-121428-79wyxedn	47	65	)	)	PUNCT
cord-121428-79wyxedn	47	66	and	and	CCONJ
cord-121428-79wyxedn	47	67	,	,	PUNCT
cord-121428-79wyxedn	47	68	respectively	respectively	ADV
cord-121428-79wyxedn	47	69	,	,	PUNCT
cord-121428-79wyxedn	47	70	in	in	ADP
cord-121428-79wyxedn	47	71	what	what	PRON
cord-121428-79wyxedn	47	72	follows	follow	VERB
cord-121428-79wyxedn	47	73	,	,	PUNCT
cord-121428-79wyxedn	47	74	we	we	PRON
cord-121428-79wyxedn	47	75	assume	assume	VERB
cord-121428-79wyxedn	47	76	that	that	SCONJ
cord-121428-79wyxedn	47	77	the	the	DET
cord-121428-79wyxedn	47	78	evolution	evolution	NOUN
cord-121428-79wyxedn	47	79	of	of	ADP
cord-121428-79wyxedn	47	80	the	the	DET
cord-121428-79wyxedn	47	81	densities	density	NOUN
cord-121428-79wyxedn	47	82	is	be	AUX
cord-121428-79wyxedn	47	83	built	build	VERB
cord-121428-79wyxedn	47	84	according	accord	VERB
cord-121428-79wyxedn	47	85	to	to	ADP
cord-121428-79wyxedn	47	86	the	the	DET
cord-121428-79wyxedn	47	87	classical	classical	ADJ
cord-121428-79wyxedn	47	88	sir	sir	NOUN
cord-121428-79wyxedn	47	89	model	model	NOUN
cord-121428-79wyxedn	48	1	[	[	X
cord-121428-79wyxedn	48	2	29	29	NUM
cord-121428-79wyxedn	48	3	]	]	PUNCT
cord-121428-79wyxedn	48	4	,	,	PUNCT
cord-121428-79wyxedn	48	5	and	and	CCONJ
cord-121428-79wyxedn	48	6	that	that	SCONJ
cord-121428-79wyxedn	48	7	the	the	DET
cord-121428-79wyxedn	48	8	various	various	ADJ
cord-121428-79wyxedn	48	9	classes	class	NOUN
cord-121428-79wyxedn	48	10	in	in	ADP
cord-121428-79wyxedn	48	11	the	the	DET
cord-121428-79wyxedn	48	12	model	model	NOUN
cord-121428-79wyxedn	48	13	could	could	AUX
cord-121428-79wyxedn	48	14	act	act	VERB
cord-121428-79wyxedn	48	15	differently	differently	ADV
cord-121428-79wyxedn	48	16	in	in	ADP
cord-121428-79wyxedn	48	17	the	the	DET
cord-121428-79wyxedn	48	18	social	social	ADJ
cord-121428-79wyxedn	48	19	process	process	NOUN
cord-121428-79wyxedn	48	20	constituting	constitute	VERB
cord-121428-79wyxedn	48	21	the	the	DET
cord-121428-79wyxedn	48	22	contact	contact	NOUN
cord-121428-79wyxedn	48	23	dynamics	dynamic	NOUN
cord-121428-79wyxedn	48	24	.	.	PUNCT
cord-121428-79wyxedn	49	1	the	the	DET
cord-121428-79wyxedn	49	2	kinetic	kinetic	ADJ
cord-121428-79wyxedn	49	3	model	model	NOUN
cord-121428-79wyxedn	49	4	then	then	ADV
cord-121428-79wyxedn	49	5	follows	follow	VERB
cord-121428-79wyxedn	49	6	combining	combine	VERB
cord-121428-79wyxedn	49	7	the	the	DET
cord-121428-79wyxedn	49	8	epidemic	epidemic	NOUN
cord-121428-79wyxedn	49	9	process	process	NOUN
cord-121428-79wyxedn	49	10	with	with	ADP
cord-121428-79wyxedn	49	11	the	the	DET
cord-121428-79wyxedn	49	12	contact	contact	NOUN
cord-121428-79wyxedn	49	13	dynamics	dynamic	NOUN
cord-121428-79wyxedn	49	14	,	,	PUNCT
cord-121428-79wyxedn	49	15	as	as	SCONJ
cord-121428-79wyxedn	49	16	modeled	model	VERB
cord-121428-79wyxedn	49	17	in	in	ADP
cord-121428-79wyxedn	49	18	[	[	SYM
cord-121428-79wyxedn	49	19	14	14	NUM
cord-121428-79wyxedn	49	20	,	,	PUNCT
cord-121428-79wyxedn	49	21	46	46	NUM
cord-121428-79wyxedn	49	22	]	]	PUNCT
cord-121428-79wyxedn	49	23	.	.	PUNCT
cord-121428-79wyxedn	50	1	this	this	PRON
cord-121428-79wyxedn	50	2	gives	give	VERB
cord-121428-79wyxedn	50	3	the	the	DET
cord-121428-79wyxedn	50	4	system	system	NOUN
cord-121428-79wyxedn	50	5	where	where	SCONJ
cord-121428-79wyxedn	50	6	γ	γ	PROPN
cord-121428-79wyxedn	50	7	is	be	AUX
cord-121428-79wyxedn	50	8	the	the	DET
cord-121428-79wyxedn	50	9	constant	constant	ADJ
cord-121428-79wyxedn	50	10	recovery	recovery	NOUN
cord-121428-79wyxedn	50	11	rate	rate	NOUN
cord-121428-79wyxedn	50	12	while	while	SCONJ
cord-121428-79wyxedn	50	13	the	the	DET
cord-121428-79wyxedn	50	14	transmission	transmission	NOUN
cord-121428-79wyxedn	50	15	of	of	ADP
cord-121428-79wyxedn	50	16	the	the	DET
cord-121428-79wyxedn	50	17	infection	infection	NOUN
cord-121428-79wyxedn	50	18	is	be	AUX
cord-121428-79wyxedn	50	19	governed	govern	VERB
cord-121428-79wyxedn	50	20	by	by	ADP
cord-121428-79wyxedn	50	21	the	the	DET
cord-121428-79wyxedn	50	22	function	function	NOUN
cord-121428-79wyxedn	50	23	k(f	k(f	PROPN
cord-121428-79wyxedn	50	24	s	s	PROPN
cord-121428-79wyxedn	50	25	,	,	PUNCT
cord-121428-79wyxedn	50	26	f	f	PROPN
cord-121428-79wyxedn	50	27	i	i	NOUN
cord-121428-79wyxedn	50	28	)	)	PUNCT
cord-121428-79wyxedn	50	29	,	,	PUNCT
cord-121428-79wyxedn	50	30	the	the	DET
cord-121428-79wyxedn	50	31	local	local	ADJ
cord-121428-79wyxedn	50	32	incidence	incidence	NOUN
cord-121428-79wyxedn	50	33	rate	rate	NOUN
cord-121428-79wyxedn	50	34	,	,	PUNCT
cord-121428-79wyxedn	50	35	expressed	express	VERB
cord-121428-79wyxedn	50	36	by	by	ADP
cord-121428-79wyxedn	50	37	in	in	ADP
cord-121428-79wyxedn	50	38	(	(	PUNCT
cord-121428-79wyxedn	50	39	3	3	X
cord-121428-79wyxedn	50	40	)	)	PUNCT
cord-121428-79wyxedn	50	41	the	the	DET
cord-121428-79wyxedn	50	42	contact	contact	NOUN
cord-121428-79wyxedn	50	43	function	function	NOUN
cord-121428-79wyxedn	50	44	κ(x	κ(x	PROPN
cord-121428-79wyxedn	50	45	,	,	PUNCT
cord-121428-79wyxedn	50	46	y	y	PROPN
cord-121428-79wyxedn	50	47	)	)	PUNCT
cord-121428-79wyxedn	50	48	is	be	AUX
cord-121428-79wyxedn	50	49	a	a	DET
cord-121428-79wyxedn	50	50	nonnegative	nonnegative	ADJ
cord-121428-79wyxedn	50	51	function	function	NOUN
cord-121428-79wyxedn	50	52	growing	grow	VERB
cord-121428-79wyxedn	50	53	with	with	ADP
cord-121428-79wyxedn	50	54	respect	respect	NOUN
cord-121428-79wyxedn	50	55	to	to	ADP
cord-121428-79wyxedn	50	56	the	the	DET
cord-121428-79wyxedn	50	57	number	number	NOUN
cord-121428-79wyxedn	50	58	of	of	ADP
cord-121428-79wyxedn	50	59	contacts	contact	NOUN
cord-121428-79wyxedn	50	60	y	y	PROPN
cord-121428-79wyxedn	50	61	of	of	ADP
cord-121428-79wyxedn	50	62	the	the	DET
cord-121428-79wyxedn	50	63	population	population	NOUN
cord-121428-79wyxedn	50	64	of	of	ADP
cord-121428-79wyxedn	50	65	infected	infect	VERB
cord-121428-79wyxedn	50	66	,	,	PUNCT
cord-121428-79wyxedn	50	67	such	such	ADJ
cord-121428-79wyxedn	50	68	that	that	SCONJ
cord-121428-79wyxedn	50	69	κ(x	κ(x	PROPN
cord-121428-79wyxedn	50	70	,	,	PUNCT
cord-121428-79wyxedn	50	71	0	0	NUM
cord-121428-79wyxedn	50	72	)	)	PUNCT
cord-121428-79wyxedn	50	73	=	=	SYM
cord-121428-79wyxedn	50	74	0	0	X
cord-121428-79wyxedn	50	75	.	.	PUNCT
cord-121428-79wyxedn	51	1	then	then	ADV
cord-121428-79wyxedn	51	2	,	,	PUNCT
cord-121428-79wyxedn	51	3	the	the	DET
cord-121428-79wyxedn	51	4	spreading	spreading	NOUN
cord-121428-79wyxedn	51	5	of	of	ADP
cord-121428-79wyxedn	51	6	the	the	DET
cord-121428-79wyxedn	51	7	epidemic	epidemic	NOUN
cord-121428-79wyxedn	51	8	depends	depend	VERB
cord-121428-79wyxedn	51	9	heavily	heavily	ADV
cord-121428-79wyxedn	51	10	on	on	ADP
cord-121428-79wyxedn	51	11	the	the	DET
cord-121428-79wyxedn	51	12	function	function	NOUN
cord-121428-79wyxedn	51	13	κ	κ	PROPN
cord-121428-79wyxedn	51	14	(	(	PUNCT
cord-121428-79wyxedn	51	15	·	·	SYM
cord-121428-79wyxedn	51	16	,	,	PUNCT
cord-121428-79wyxedn	51	17	·	·	PUNCT
cord-121428-79wyxedn	51	18	)	)	PUNCT
cord-121428-79wyxedn	51	19	used	use	VERB
cord-121428-79wyxedn	51	20	to	to	PART
cord-121428-79wyxedn	51	21	quantify	quantify	VERB
cord-121428-79wyxedn	51	22	the	the	DET
cord-121428-79wyxedn	51	23	rate	rate	NOUN
cord-121428-79wyxedn	51	24	of	of	ADP
cord-121428-79wyxedn	51	25	possible	possible	ADJ
cord-121428-79wyxedn	51	26	contagion	contagion	NOUN
cord-121428-79wyxedn	51	27	in	in	ADP
cord-121428-79wyxedn	51	28	terms	term	NOUN
cord-121428-79wyxedn	51	29	of	of	ADP
cord-121428-79wyxedn	51	30	the	the	DET
cord-121428-79wyxedn	51	31	number	number	NOUN
cord-121428-79wyxedn	51	32	of	of	ADP
cord-121428-79wyxedn	51	33	social	social	ADJ
cord-121428-79wyxedn	51	34	contacts	contact	NOUN
cord-121428-79wyxedn	51	35	between	between	ADP
cord-121428-79wyxedn	51	36	the	the	DET
cord-121428-79wyxedn	51	37	classes	class	NOUN
cord-121428-79wyxedn	51	38	of	of	ADP
cord-121428-79wyxedn	51	39	susceptible	susceptible	ADJ
cord-121428-79wyxedn	51	40	and	and	CCONJ
cord-121428-79wyxedn	51	41	infected	infect	VERB
cord-121428-79wyxedn	51	42	.	.	PUNCT
cord-121428-79wyxedn	52	1	the	the	DET
cord-121428-79wyxedn	52	2	evolution	evolution	NOUN
cord-121428-79wyxedn	52	3	of	of	ADP
cord-121428-79wyxedn	52	4	the	the	DET
cord-121428-79wyxedn	52	5	mass	mass	ADJ
cord-121428-79wyxedn	52	6	fractions	fraction	NOUN
cord-121428-79wyxedn	52	7	j(t	j(t	PROPN
cord-121428-79wyxedn	52	8	)	)	PUNCT
cord-121428-79wyxedn	52	9	,	,	PUNCT
cord-121428-79wyxedn	52	10	j	j	PROPN
cord-121428-79wyxedn	52	11	∈	∈	PROPN
cord-121428-79wyxedn	52	12	{	{	PUNCT
cord-121428-79wyxedn	52	13	s	s	PROPN
cord-121428-79wyxedn	52	14	,	,	PUNCT
cord-121428-79wyxedn	52	15	i	i	INTJ
cord-121428-79wyxedn	52	16	,	,	PUNCT
cord-121428-79wyxedn	52	17	r	r	NOUN
cord-121428-79wyxedn	52	18	}	}	PUNCT
cord-121428-79wyxedn	52	19	then	then	ADV
cord-121428-79wyxedn	52	20	obeys	obey	VERB
cord-121428-79wyxedn	52	21	to	to	ADP
cord-121428-79wyxedn	52	22	the	the	DET
cord-121428-79wyxedn	52	23	classical	classical	ADJ
cord-121428-79wyxedn	52	24	sir	sir	NOUN
cord-121428-79wyxedn	52	25	model	model	NOUN
cord-121428-79wyxedn	52	26	by	by	ADP
cord-121428-79wyxedn	52	27	choosing	choose	VERB
cord-121428-79wyxedn	52	28	κ(x	κ(x	PROPN
cord-121428-79wyxedn	52	29	,	,	PUNCT
cord-121428-79wyxedn	52	30	y	y	PROPN
cord-121428-79wyxedn	52	31	)	)	PUNCT
cord-121428-79wyxedn	52	32	≡	≡	X
cord-121428-79wyxedn	52	33	β	β	X
cord-121428-79wyxedn	52	34	>	>	PUNCT
cord-121428-79wyxedn	52	35	0	0	NUM
cord-121428-79wyxedn	53	1	[	[	PUNCT
cord-121428-79wyxedn	53	2	29	29	NUM
cord-121428-79wyxedn	53	3	]	]	PUNCT
cord-121428-79wyxedn	53	4	,	,	PUNCT
cord-121428-79wyxedn	53	5	thus	thus	ADV
cord-121428-79wyxedn	53	6	considering	consider	VERB
cord-121428-79wyxedn	53	7	the	the	DET
cord-121428-79wyxedn	53	8	spreading	spreading	NOUN
cord-121428-79wyxedn	53	9	of	of	ADP
cord-121428-79wyxedn	53	10	the	the	DET
cord-121428-79wyxedn	53	11	disease	disease	NOUN
cord-121428-79wyxedn	53	12	independent	independent	ADJ
cord-121428-79wyxedn	53	13	of	of	ADP
cord-121428-79wyxedn	53	14	the	the	DET
cord-121428-79wyxedn	53	15	intensity	intensity	NOUN
cord-121428-79wyxedn	53	16	of	of	ADP
cord-121428-79wyxedn	53	17	social	social	ADJ
cord-121428-79wyxedn	53	18	contacts	contact	NOUN
cord-121428-79wyxedn	53	19	.	.	PUNCT
cord-121428-79wyxedn	54	1	a	a	DET
cord-121428-79wyxedn	54	2	leading	lead	VERB
cord-121428-79wyxedn	54	3	example	example	NOUN
cord-121428-79wyxedn	54	4	is	be	AUX
cord-121428-79wyxedn	54	5	obtained	obtain	VERB
cord-121428-79wyxedn	54	6	by	by	ADP
cord-121428-79wyxedn	54	7	choosing	choose	VERB
cord-121428-79wyxedn	54	8	a	a	DET
cord-121428-79wyxedn	54	9	rank	rank	NOUN
cord-121428-79wyxedn	54	10	1	1	NUM
cord-121428-79wyxedn	54	11	matrix	matrix	NOUN
cord-121428-79wyxedn	54	12	where	where	SCONJ
cord-121428-79wyxedn	54	13	α	α	PROPN
cord-121428-79wyxedn	54	14	,	,	PUNCT
cord-121428-79wyxedn	54	15	β	β	PROPN
cord-121428-79wyxedn	54	16	are	be	AUX
cord-121428-79wyxedn	54	17	positive	positive	ADJ
cord-121428-79wyxedn	54	18	constants	constant	NOUN
cord-121428-79wyxedn	54	19	,	,	PUNCT
cord-121428-79wyxedn	54	20	that	that	PRON
cord-121428-79wyxedn	54	21	is	be	AUX
cord-121428-79wyxedn	54	22	by	by	ADP
cord-121428-79wyxedn	54	23	taking	take	VERB
cord-121428-79wyxedn	54	24	the	the	DET
cord-121428-79wyxedn	54	25	incidence	incidence	NOUN
cord-121428-79wyxedn	54	26	rate	rate	NOUN
cord-121428-79wyxedn	54	27	directly	directly	ADV
cord-121428-79wyxedn	54	28	proportional	proportional	ADJ
cord-121428-79wyxedn	54	29	to	to	ADP
cord-121428-79wyxedn	54	30	the	the	DET
cord-121428-79wyxedn	54	31	product	product	NOUN
cord-121428-79wyxedn	54	32	of	of	ADP
cord-121428-79wyxedn	54	33	the	the	DET
cord-121428-79wyxedn	54	34	number	number	NOUN
cord-121428-79wyxedn	54	35	of	of	ADP
cord-121428-79wyxedn	54	36	contacts	contact	NOUN
cord-121428-79wyxedn	54	37	of	of	ADP
cord-121428-79wyxedn	54	38	susceptible	susceptible	ADJ
cord-121428-79wyxedn	54	39	and	and	CCONJ
cord-121428-79wyxedn	54	40	infected	infected	ADJ
cord-121428-79wyxedn	54	41	people	people	NOUN
cord-121428-79wyxedn	54	42	.	.	PUNCT
cord-121428-79wyxedn	55	1	when	when	SCONJ
cord-121428-79wyxedn	55	2	α	α	PROPN
cord-121428-79wyxedn	55	3	=	=	NOUN
cord-121428-79wyxedn	55	4	1	1	NUM
cord-121428-79wyxedn	55	5	,	,	PUNCT
cord-121428-79wyxedn	55	6	for	for	ADP
cord-121428-79wyxedn	55	7	example	example	NOUN
cord-121428-79wyxedn	55	8	,	,	PUNCT
cord-121428-79wyxedn	55	9	the	the	DET
cord-121428-79wyxedn	55	10	incidence	incidence	NOUN
cord-121428-79wyxedn	55	11	rate	rate	NOUN
cord-121428-79wyxedn	55	12	takes	take	VERB
cord-121428-79wyxedn	55	13	the	the	DET
cord-121428-79wyxedn	55	14	simpler	simple	ADJ
cord-121428-79wyxedn	55	15	form	form	NOUN
cord-121428-79wyxedn	55	16	in	in	ADP
cord-121428-79wyxedn	55	17	equations	equation	NOUN
cord-121428-79wyxedn	55	18	(	(	PUNCT
cord-121428-79wyxedn	55	19	2	2	X
cord-121428-79wyxedn	55	20	)	)	PUNCT
cord-121428-79wyxedn	55	21	the	the	DET
cord-121428-79wyxedn	55	22	operators	operator	NOUN
cord-121428-79wyxedn	55	23	q	q	PROPN
cord-121428-79wyxedn	55	24	j	j	PROPN
cord-121428-79wyxedn	55	25	,	,	PUNCT
cord-121428-79wyxedn	55	26	j	j	PROPN
cord-121428-79wyxedn	55	27	∈	∈	PROPN
cord-121428-79wyxedn	55	28	{	{	PUNCT
cord-121428-79wyxedn	55	29	s	s	PROPN
cord-121428-79wyxedn	55	30	,	,	PUNCT
cord-121428-79wyxedn	55	31	i	i	INTJ
cord-121428-79wyxedn	55	32	,	,	PUNCT
cord-121428-79wyxedn	55	33	r	r	NOUN
cord-121428-79wyxedn	55	34	}	}	PUNCT
cord-121428-79wyxedn	55	35	characterize	characterize	VERB
cord-121428-79wyxedn	55	36	the	the	DET
cord-121428-79wyxedn	55	37	thermalization	thermalization	NOUN
cord-121428-79wyxedn	55	38	of	of	ADP
cord-121428-79wyxedn	55	39	the	the	DET
cord-121428-79wyxedn	55	40	distribution	distribution	NOUN
cord-121428-79wyxedn	55	41	of	of	ADP
cord-121428-79wyxedn	55	42	social	social	ADJ
cord-121428-79wyxedn	55	43	contacts	contact	NOUN
cord-121428-79wyxedn	55	44	in	in	ADP
cord-121428-79wyxedn	55	45	the	the	DET
cord-121428-79wyxedn	55	46	various	various	ADJ
cord-121428-79wyxedn	55	47	classes	class	NOUN
cord-121428-79wyxedn	55	48	in	in	ADP
cord-121428-79wyxedn	55	49	terms	term	NOUN
cord-121428-79wyxedn	55	50	of	of	ADP
cord-121428-79wyxedn	55	51	repeated	repeat	VERB
cord-121428-79wyxedn	55	52	interactions	interaction	NOUN
cord-121428-79wyxedn	55	53	[	[	PUNCT
cord-121428-79wyxedn	55	54	14	14	NUM
cord-121428-79wyxedn	55	55	,	,	PUNCT
cord-121428-79wyxedn	55	56	46	46	NUM
cord-121428-79wyxedn	55	57	]	]	PUNCT
cord-121428-79wyxedn	55	58	.	.	PUNCT
cord-121428-79wyxedn	56	1	the	the	DET
cord-121428-79wyxedn	56	2	q	q	PROPN
cord-121428-79wyxedn	56	3	j	j	PROPN
cord-121428-79wyxedn	56	4	,	,	PUNCT
cord-121428-79wyxedn	56	5	j	j	PROPN
cord-121428-79wyxedn	56	6	∈	∈	PROPN
cord-121428-79wyxedn	56	7	{	{	PUNCT
cord-121428-79wyxedn	56	8	s	s	PROPN
cord-121428-79wyxedn	56	9	,	,	PUNCT
cord-121428-79wyxedn	56	10	i	i	NOUN
cord-121428-79wyxedn	56	11	,	,	PUNCT
cord-121428-79wyxedn	56	12	r	r	NOUN
cord-121428-79wyxedn	56	13	}	}	PUNCT
cord-121428-79wyxedn	56	14	are	be	AUX
cord-121428-79wyxedn	56	15	integral	integral	ADJ
cord-121428-79wyxedn	56	16	operators	operator	NOUN
cord-121428-79wyxedn	56	17	that	that	PRON
cord-121428-79wyxedn	56	18	modify	modify	VERB
cord-121428-79wyxedn	56	19	the	the	DET
cord-121428-79wyxedn	56	20	distribution	distribution	NOUN
cord-121428-79wyxedn	56	21	of	of	ADP
cord-121428-79wyxedn	56	22	contacts	contact	NOUN
cord-121428-79wyxedn	56	23	f	f	PROPN
cord-121428-79wyxedn	56	24	j	j	PROPN
cord-121428-79wyxedn	56	25	(	(	PUNCT
cord-121428-79wyxedn	56	26	x	x	PROPN
cord-121428-79wyxedn	56	27	,	,	PROPN
cord-121428-79wyxedn	56	28	t	t	PROPN
cord-121428-79wyxedn	56	29	)	)	PUNCT
cord-121428-79wyxedn	56	30	,	,	PUNCT
cord-121428-79wyxedn	56	31	j	j	PROPN
cord-121428-79wyxedn	56	32	∈	∈	PROPN
cord-121428-79wyxedn	56	33	{	{	PUNCT
cord-121428-79wyxedn	56	34	s	s	PROPN
cord-121428-79wyxedn	56	35	,	,	PUNCT
cord-121428-79wyxedn	56	36	i	i	INTJ
cord-121428-79wyxedn	56	37	,	,	PUNCT
cord-121428-79wyxedn	56	38	r	r	NOUN
cord-121428-79wyxedn	56	39	}	}	PUNCT
cord-121428-79wyxedn	56	40	.	.	PUNCT
cord-121428-79wyxedn	57	1	their	their	PRON
cord-121428-79wyxedn	57	2	action	action	NOUN
cord-121428-79wyxedn	57	3	on	on	ADP
cord-121428-79wyxedn	57	4	observable	observable	ADJ
cord-121428-79wyxedn	57	5	quantities	quantity	NOUN
cord-121428-79wyxedn	57	6	is	be	AUX
cord-121428-79wyxedn	57	7	given	give	VERB
cord-121428-79wyxedn	57	8	by	by	ADP
cord-121428-79wyxedn	57	9	where	where	SCONJ
cord-121428-79wyxedn	57	10	b(x	b(x	VERB
cord-121428-79wyxedn	57	11	)	)	PUNCT
cord-121428-79wyxedn	57	12	measures	measure	VERB
cord-121428-79wyxedn	57	13	the	the	DET
cord-121428-79wyxedn	57	14	interaction	interaction	NOUN
cord-121428-79wyxedn	57	15	frequency	frequency	NOUN
cord-121428-79wyxedn	57	16	,	,	PUNCT
cord-121428-79wyxedn	57	17	·	·	PUNCT
cord-121428-79wyxedn	57	18	denotes	denote	VERB
cord-121428-79wyxedn	57	19	mathematical	mathematical	ADJ
cord-121428-79wyxedn	57	20	expectation	expectation	NOUN
cord-121428-79wyxedn	57	21	with	with	ADP
cord-121428-79wyxedn	57	22	respect	respect	NOUN
cord-121428-79wyxedn	57	23	to	to	ADP
cord-121428-79wyxedn	57	24	a	a	DET
cord-121428-79wyxedn	57	25	random	random	ADJ
cord-121428-79wyxedn	57	26	quantity	quantity	NOUN
cord-121428-79wyxedn	57	27	,	,	PUNCT
cord-121428-79wyxedn	57	28	and	and	CCONJ
cord-121428-79wyxedn	57	29	x	x	X
cord-121428-79wyxedn	57	30	*	*	PUNCT
cord-121428-79wyxedn	57	31	j	j	X
cord-121428-79wyxedn	57	32	denote	denote	VERB
cord-121428-79wyxedn	57	33	the	the	DET
cord-121428-79wyxedn	57	34	post	post	ADJ
cord-121428-79wyxedn	57	35	-	-	ADJ
cord-121428-79wyxedn	57	36	interaction	interaction	ADJ
cord-121428-79wyxedn	57	37	value	value	NOUN
cord-121428-79wyxedn	57	38	of	of	ADP
cord-121428-79wyxedn	57	39	the	the	DET
cord-121428-79wyxedn	57	40	number	number	NOUN
cord-121428-79wyxedn	57	41	x	x	NOUN
cord-121428-79wyxedn	57	42	of	of	ADP
cord-121428-79wyxedn	57	43	social	social	ADJ
cord-121428-79wyxedn	57	44	contacts	contact	NOUN
cord-121428-79wyxedn	57	45	of	of	ADP
cord-121428-79wyxedn	57	46	the	the	DET
cord-121428-79wyxedn	57	47	j	j	ADJ
cord-121428-79wyxedn	57	48	-	-	PUNCT
cord-121428-79wyxedn	57	49	th	th	X
cord-121428-79wyxedn	57	50	population	population	NOUN
cord-121428-79wyxedn	57	51	.	.	PUNCT
cord-121428-79wyxedn	58	1	last	last	ADJ
cord-121428-79wyxedn	58	2	,	,	PUNCT
cord-121428-79wyxedn	58	3	the	the	DET
cord-121428-79wyxedn	58	4	constant	constant	ADJ
cord-121428-79wyxedn	58	5	τ	τ	NOUN
cord-121428-79wyxedn	58	6	in	in	ADP
cord-121428-79wyxedn	58	7	front	front	NOUN
cord-121428-79wyxedn	58	8	of	of	ADP
cord-121428-79wyxedn	58	9	the	the	DET
cord-121428-79wyxedn	58	10	interaction	interaction	NOUN
cord-121428-79wyxedn	58	11	integral	integral	ADJ
cord-121428-79wyxedn	58	12	measures	measure	NOUN
cord-121428-79wyxedn	58	13	the	the	DET
cord-121428-79wyxedn	58	14	time	time	NOUN
cord-121428-79wyxedn	58	15	scale	scale	NOUN
cord-121428-79wyxedn	58	16	of	of	ADP
cord-121428-79wyxedn	58	17	the	the	DET
cord-121428-79wyxedn	58	18	thermalization	thermalization	NOUN
cord-121428-79wyxedn	58	19	of	of	ADP
cord-121428-79wyxedn	58	20	the	the	DET
cord-121428-79wyxedn	58	21	distribution	distribution	NOUN
cord-121428-79wyxedn	58	22	of	of	ADP
cord-121428-79wyxedn	58	23	social	social	ADJ
cord-121428-79wyxedn	58	24	contacts	contact	NOUN
cord-121428-79wyxedn	58	25	.	.	PUNCT
cord-121428-79wyxedn	59	1	remark	remark	PROPN
cord-121428-79wyxedn	59	2	1	1	NUM
cord-121428-79wyxedn	59	3	.	.	PUNCT
cord-121428-79wyxedn	60	1	the	the	DET
cord-121428-79wyxedn	60	2	relaxation	relaxation	NOUN
cord-121428-79wyxedn	60	3	constant	constant	ADJ
cord-121428-79wyxedn	60	4	τ	τ	PROPN
cord-121428-79wyxedn	60	5	plays	play	VERB
cord-121428-79wyxedn	60	6	an	an	DET
cord-121428-79wyxedn	60	7	important	important	ADJ
cord-121428-79wyxedn	60	8	role	role	NOUN
cord-121428-79wyxedn	60	9	in	in	ADP
cord-121428-79wyxedn	60	10	the	the	DET
cord-121428-79wyxedn	60	11	time	time	NOUN
cord-121428-79wyxedn	60	12	evolution	evolution	NOUN
cord-121428-79wyxedn	60	13	of	of	ADP
cord-121428-79wyxedn	60	14	the	the	DET
cord-121428-79wyxedn	60	15	model	model	NOUN
cord-121428-79wyxedn	60	16	(	(	PUNCT
cord-121428-79wyxedn	60	17	2	2	NUM
cord-121428-79wyxedn	60	18	)	)	PUNCT
cord-121428-79wyxedn	60	19	,	,	PUNCT
cord-121428-79wyxedn	60	20	since	since	SCONJ
cord-121428-79wyxedn	60	21	it	it	PRON
cord-121428-79wyxedn	60	22	relates	relate	VERB
cord-121428-79wyxedn	60	23	the	the	DET
cord-121428-79wyxedn	60	24	time	time	NOUN
cord-121428-79wyxedn	60	25	scale	scale	NOUN
cord-121428-79wyxedn	60	26	of	of	ADP
cord-121428-79wyxedn	60	27	the	the	DET
cord-121428-79wyxedn	60	28	epidemic	epidemic	ADJ
cord-121428-79wyxedn	60	29	evolution	evolution	NOUN
cord-121428-79wyxedn	60	30	with	with	ADP
cord-121428-79wyxedn	60	31	that	that	PRON
cord-121428-79wyxedn	60	32	of	of	ADP
cord-121428-79wyxedn	60	33	the	the	DET
cord-121428-79wyxedn	60	34	statistical	statistical	ADJ
cord-121428-79wyxedn	60	35	formation	formation	NOUN
cord-121428-79wyxedn	60	36	of	of	ADP
cord-121428-79wyxedn	60	37	social	social	ADJ
cord-121428-79wyxedn	60	38	contacts	contact	NOUN
cord-121428-79wyxedn	60	39	.	.	PUNCT
cord-121428-79wyxedn	61	1	small	small	ADJ
cord-121428-79wyxedn	61	2	values	value	NOUN
cord-121428-79wyxedn	61	3	of	of	ADP
cord-121428-79wyxedn	61	4	the	the	DET
cord-121428-79wyxedn	61	5	constant	constant	ADJ
cord-121428-79wyxedn	61	6	τ	τ	NOUN
cord-121428-79wyxedn	61	7	will	will	AUX
cord-121428-79wyxedn	61	8	correspond	correspond	VERB
cord-121428-79wyxedn	61	9	to	to	ADP
cord-121428-79wyxedn	61	10	a	a	DET
cord-121428-79wyxedn	61	11	fast	fast	ADJ
cord-121428-79wyxedn	61	12	adaptation	adaptation	NOUN
cord-121428-79wyxedn	61	13	of	of	ADP
cord-121428-79wyxedn	61	14	people	people	NOUN
cord-121428-79wyxedn	61	15	to	to	ADP
cord-121428-79wyxedn	61	16	a	a	DET
cord-121428-79wyxedn	61	17	steady	steady	ADJ
cord-121428-79wyxedn	61	18	situation	situation	NOUN
cord-121428-79wyxedn	61	19	.	.	PUNCT
cord-121428-79wyxedn	62	1	hence	hence	ADV
cord-121428-79wyxedn	62	2	,	,	PUNCT
cord-121428-79wyxedn	62	3	since	since	SCONJ
cord-121428-79wyxedn	62	4	it	it	PRON
cord-121428-79wyxedn	62	5	is	be	AUX
cord-121428-79wyxedn	62	6	reasonable	reasonable	ADJ
cord-121428-79wyxedn	62	7	to	to	PART
cord-121428-79wyxedn	62	8	assume	assume	VERB
cord-121428-79wyxedn	62	9	that	that	SCONJ
cord-121428-79wyxedn	62	10	adaptation	adaptation	NOUN
cord-121428-79wyxedn	62	11	of	of	ADP
cord-121428-79wyxedn	62	12	people	people	NOUN
cord-121428-79wyxedn	62	13	is	be	AUX
cord-121428-79wyxedn	62	14	faster	fast	ADJ
cord-121428-79wyxedn	62	15	that	that	SCONJ
cord-121428-79wyxedn	62	16	the	the	DET
cord-121428-79wyxedn	62	17	dynamics	dynamic	NOUN
cord-121428-79wyxedn	62	18	of	of	ADP
cord-121428-79wyxedn	62	19	epidemic	epidemic	NOUN
cord-121428-79wyxedn	62	20	,	,	PUNCT
cord-121428-79wyxedn	62	21	in	in	ADP
cord-121428-79wyxedn	62	22	what	what	PRON
cord-121428-79wyxedn	62	23	follows	follow	VERB
cord-121428-79wyxedn	62	24	we	we	PRON
cord-121428-79wyxedn	62	25	will	will	AUX
cord-121428-79wyxedn	62	26	assume	assume	VERB
cord-121428-79wyxedn	62	27	τ	τ	PROPN
cord-121428-79wyxedn	62	28	1	1	NUM
cord-121428-79wyxedn	62	29	.	.	PUNCT
cord-121428-79wyxedn	63	1	the	the	DET
cord-121428-79wyxedn	63	2	process	process	NOUN
cord-121428-79wyxedn	63	3	of	of	ADP
cord-121428-79wyxedn	63	4	formation	formation	NOUN
cord-121428-79wyxedn	63	5	of	of	ADP
cord-121428-79wyxedn	63	6	the	the	DET
cord-121428-79wyxedn	63	7	social	social	ADJ
cord-121428-79wyxedn	63	8	contacts	contact	NOUN
cord-121428-79wyxedn	63	9	distribution	distribution	NOUN
cord-121428-79wyxedn	63	10	is	be	AUX
cord-121428-79wyxedn	63	11	obtained	obtain	VERB
cord-121428-79wyxedn	63	12	by	by	ADP
cord-121428-79wyxedn	63	13	taking	take	VERB
cord-121428-79wyxedn	63	14	into	into	ADP
cord-121428-79wyxedn	63	15	account	account	NOUN
cord-121428-79wyxedn	63	16	the	the	DET
cord-121428-79wyxedn	63	17	typical	typical	ADJ
cord-121428-79wyxedn	63	18	aspects	aspect	NOUN
cord-121428-79wyxedn	63	19	of	of	ADP
cord-121428-79wyxedn	63	20	human	human	ADJ
cord-121428-79wyxedn	63	21	being	being	NOUN
cord-121428-79wyxedn	63	22	,	,	PUNCT
cord-121428-79wyxedn	63	23	in	in	ADP
cord-121428-79wyxedn	63	24	particular	particular	ADJ
cord-121428-79wyxedn	63	25	the	the	DET
cord-121428-79wyxedn	63	26	search	search	NOUN
cord-121428-79wyxedn	63	27	,	,	PUNCT
cord-121428-79wyxedn	63	28	in	in	ADP
cord-121428-79wyxedn	63	29	absence	absence	NOUN
cord-121428-79wyxedn	63	30	of	of	ADP
cord-121428-79wyxedn	63	31	epidemics	epidemic	NOUN
cord-121428-79wyxedn	63	32	,	,	PUNCT
cord-121428-79wyxedn	63	33	of	of	ADP
cord-121428-79wyxedn	63	34	opportunities	opportunity	NOUN
cord-121428-79wyxedn	63	35	for	for	ADP
cord-121428-79wyxedn	63	36	socialization	socialization	NOUN
cord-121428-79wyxedn	63	37	.	.	PUNCT
cord-121428-79wyxedn	64	1	in	in	ADP
cord-121428-79wyxedn	64	2	addition	addition	NOUN
cord-121428-79wyxedn	64	3	to	to	ADP
cord-121428-79wyxedn	64	4	that	that	PRON
cord-121428-79wyxedn	64	5	,	,	PUNCT
cord-121428-79wyxedn	64	6	social	social	ADJ
cord-121428-79wyxedn	64	7	contacts	contact	NOUN
cord-121428-79wyxedn	64	8	are	be	AUX
cord-121428-79wyxedn	64	9	due	due	ADJ
cord-121428-79wyxedn	64	10	to	to	ADP
cord-121428-79wyxedn	64	11	the	the	DET
cord-121428-79wyxedn	64	12	common	common	ADJ
cord-121428-79wyxedn	64	13	use	use	NOUN
cord-121428-79wyxedn	64	14	of	of	ADP
cord-121428-79wyxedn	64	15	public	public	ADJ
cord-121428-79wyxedn	64	16	transportations	transportation	NOUN
cord-121428-79wyxedn	64	17	to	to	PART
cord-121428-79wyxedn	64	18	reach	reach	VERB
cord-121428-79wyxedn	64	19	schools	school	NOUN
cord-121428-79wyxedn	64	20	,	,	PUNCT
cord-121428-79wyxedn	64	21	offices	office	NOUN
cord-121428-79wyxedn	64	22	and	and	CCONJ
cord-121428-79wyxedn	64	23	,	,	PUNCT
cord-121428-79wyxedn	64	24	in	in	ADP
cord-121428-79wyxedn	64	25	general	general	ADJ
cord-121428-79wyxedn	64	26	,	,	PUNCT
cord-121428-79wyxedn	64	27	places	place	NOUN
cord-121428-79wyxedn	64	28	of	of	ADP
cord-121428-79wyxedn	64	29	work	work	NOUN
cord-121428-79wyxedn	64	30	and	and	CCONJ
cord-121428-79wyxedn	64	31	to	to	ADP
cord-121428-79wyxedn	64	32	basic	basic	ADJ
cord-121428-79wyxedn	64	33	needs	need	NOUN
cord-121428-79wyxedn	64	34	of	of	ADP
cord-121428-79wyxedn	64	35	interactions	interaction	NOUN
cord-121428-79wyxedn	64	36	due	due	ADP
cord-121428-79wyxedn	64	37	to	to	ADP
cord-121428-79wyxedn	64	38	work	work	NOUN
cord-121428-79wyxedn	64	39	duties	duty	NOUN
cord-121428-79wyxedn	64	40	.	.	PUNCT
cord-121428-79wyxedn	65	1	as	as	SCONJ
cord-121428-79wyxedn	65	2	shown	show	VERB
cord-121428-79wyxedn	65	3	in	in	ADP
cord-121428-79wyxedn	65	4	[	[	X
cord-121428-79wyxedn	65	5	3	3	NUM
cord-121428-79wyxedn	65	6	]	]	PUNCT
cord-121428-79wyxedn	65	7	,	,	PUNCT
cord-121428-79wyxedn	65	8	this	this	PRON
cord-121428-79wyxedn	65	9	leads	lead	VERB
cord-121428-79wyxedn	65	10	individuals	individual	NOUN
cord-121428-79wyxedn	65	11	to	to	PART
cord-121428-79wyxedn	65	12	stabilize	stabilize	VERB
cord-121428-79wyxedn	65	13	on	on	ADP
cord-121428-79wyxedn	65	14	a	a	DET
cord-121428-79wyxedn	65	15	characteristic	characteristic	ADJ
cord-121428-79wyxedn	65	16	number	number	NOUN
cord-121428-79wyxedn	65	17	of	of	ADP
cord-121428-79wyxedn	65	18	daily	daily	ADJ
cord-121428-79wyxedn	65	19	contacts	contact	NOUN
cord-121428-79wyxedn	65	20	depending	depend	VERB
cord-121428-79wyxedn	65	21	on	on	ADP
cord-121428-79wyxedn	65	22	the	the	DET
cord-121428-79wyxedn	65	23	social	social	ADJ
cord-121428-79wyxedn	65	24	habits	habit	NOUN
cord-121428-79wyxedn	65	25	of	of	ADP
cord-121428-79wyxedn	65	26	the	the	DET
cord-121428-79wyxedn	65	27	different	different	ADJ
cord-121428-79wyxedn	65	28	countries	country	NOUN
cord-121428-79wyxedn	65	29	,	,	PUNCT
cord-121428-79wyxedn	65	30	(	(	PUNCT
cord-121428-79wyxedn	65	31	represented	represent	VERB
cord-121428-79wyxedn	65	32	by	by	ADP
cord-121428-79wyxedn	65	33	a	a	DET
cord-121428-79wyxedn	65	34	suitable	suitable	ADJ
cord-121428-79wyxedn	65	35	valuex	valuex	NOUN
cord-121428-79wyxedn	65	36	m	m	NOUN
cord-121428-79wyxedn	65	37	of	of	ADP
cord-121428-79wyxedn	65	38	the	the	DET
cord-121428-79wyxedn	65	39	variable	variable	NOUN
cord-121428-79wyxedn	65	40	x	x	PROPN
cord-121428-79wyxedn	65	41	,	,	PUNCT
cord-121428-79wyxedn	65	42	which	which	PRON
cord-121428-79wyxedn	65	43	can	can	AUX
cord-121428-79wyxedn	65	44	be	be	AUX
cord-121428-79wyxedn	65	45	considered	consider	VERB
cord-121428-79wyxedn	65	46	as	as	ADP
cord-121428-79wyxedn	65	47	the	the	DET
cord-121428-79wyxedn	65	48	mean	mean	ADJ
cord-121428-79wyxedn	65	49	number	number	NOUN
cord-121428-79wyxedn	65	50	of	of	ADP
cord-121428-79wyxedn	65	51	contacts	contact	NOUN
cord-121428-79wyxedn	65	52	relative	relative	ADJ
cord-121428-79wyxedn	65	53	to	to	ADP
cord-121428-79wyxedn	65	54	the	the	DET
cord-121428-79wyxedn	65	55	population	population	NOUN
cord-121428-79wyxedn	65	56	under	under	ADP
cord-121428-79wyxedn	65	57	investigation	investigation	NOUN
cord-121428-79wyxedn	65	58	)	)	PUNCT
cord-121428-79wyxedn	65	59	.	.	PUNCT
cord-121428-79wyxedn	66	1	then	then	ADV
cord-121428-79wyxedn	66	2	,	,	PUNCT
cord-121428-79wyxedn	66	3	following	follow	VERB
cord-121428-79wyxedn	66	4	a	a	DET
cord-121428-79wyxedn	66	5	consolidated	consolidated	ADJ
cord-121428-79wyxedn	66	6	path	path	NOUN
cord-121428-79wyxedn	66	7	in	in	ADP
cord-121428-79wyxedn	66	8	the	the	DET
cord-121428-79wyxedn	66	9	kinetic	kinetic	NOUN
cord-121428-79wyxedn	66	10	theory	theory	NOUN
cord-121428-79wyxedn	66	11	of	of	ADP
cord-121428-79wyxedn	66	12	social	social	ADJ
cord-121428-79wyxedn	66	13	phenomena	phenomena	NOUN
cord-121428-79wyxedn	66	14	,	,	PUNCT
cord-121428-79wyxedn	66	15	one	one	NUM
cord-121428-79wyxedn	66	16	aims	aim	VERB
cord-121428-79wyxedn	66	17	in	in	ADP
cord-121428-79wyxedn	66	18	obtaining	obtain	VERB
cord-121428-79wyxedn	66	19	the	the	DET
cord-121428-79wyxedn	66	20	characterization	characterization	NOUN
cord-121428-79wyxedn	66	21	of	of	ADP
cord-121428-79wyxedn	66	22	the	the	DET
cord-121428-79wyxedn	66	23	distribution	distribution	NOUN
cord-121428-79wyxedn	66	24	of	of	ADP
cord-121428-79wyxedn	66	25	social	social	ADJ
cord-121428-79wyxedn	66	26	contacts	contact	NOUN
cord-121428-79wyxedn	66	27	in	in	ADP
cord-121428-79wyxedn	66	28	a	a	DET
cord-121428-79wyxedn	66	29	multi	multi	ADJ
cord-121428-79wyxedn	66	30	-	-	ADJ
cord-121428-79wyxedn	66	31	agent	agent	ADJ
cord-121428-79wyxedn	66	32	system	system	NOUN
cord-121428-79wyxedn	66	33	(	(	PUNCT
cord-121428-79wyxedn	66	34	the	the	DET
cord-121428-79wyxedn	66	35	macroscopic	macroscopic	ADJ
cord-121428-79wyxedn	66	36	behavior	behavior	NOUN
cord-121428-79wyxedn	66	37	)	)	PUNCT
cord-121428-79wyxedn	66	38	,	,	PUNCT
cord-121428-79wyxedn	66	39	starting	start	VERB
cord-121428-79wyxedn	66	40	from	from	ADP
cord-121428-79wyxedn	66	41	some	some	DET
cord-121428-79wyxedn	66	42	universal	universal	ADJ
cord-121428-79wyxedn	66	43	assumption	assumption	NOUN
cord-121428-79wyxedn	66	44	about	about	ADP
cord-121428-79wyxedn	66	45	the	the	DET
cord-121428-79wyxedn	66	46	personal	personal	ADJ
cord-121428-79wyxedn	66	47	behavior	behavior	NOUN
cord-121428-79wyxedn	66	48	of	of	ADP
cord-121428-79wyxedn	66	49	agents	agent	NOUN
cord-121428-79wyxedn	66	50	(	(	PUNCT
cord-121428-79wyxedn	66	51	the	the	DET
cord-121428-79wyxedn	66	52	microscopic	microscopic	ADJ
cord-121428-79wyxedn	66	53	behavior	behavior	NOUN
cord-121428-79wyxedn	66	54	)	)	PUNCT
cord-121428-79wyxedn	66	55	.	.	PUNCT
cord-121428-79wyxedn	67	1	indeed	indeed	ADV
cord-121428-79wyxedn	67	2	,	,	PUNCT
cord-121428-79wyxedn	67	3	as	as	ADP
cord-121428-79wyxedn	67	4	in	in	ADP
cord-121428-79wyxedn	67	5	many	many	ADJ
cord-121428-79wyxedn	67	6	other	other	ADJ
cord-121428-79wyxedn	67	7	human	human	ADJ
cord-121428-79wyxedn	67	8	activities	activity	NOUN
cord-121428-79wyxedn	67	9	,	,	PUNCT
cord-121428-79wyxedn	67	10	the	the	DET
cord-121428-79wyxedn	67	11	daily	daily	ADJ
cord-121428-79wyxedn	67	12	amount	amount	NOUN
cord-121428-79wyxedn	67	13	of	of	ADP
cord-121428-79wyxedn	67	14	social	social	ADJ
cord-121428-79wyxedn	67	15	contacts	contact	NOUN
cord-121428-79wyxedn	67	16	is	be	AUX
cord-121428-79wyxedn	67	17	the	the	DET
cord-121428-79wyxedn	67	18	result	result	NOUN
cord-121428-79wyxedn	67	19	of	of	ADP
cord-121428-79wyxedn	67	20	a	a	DET
cord-121428-79wyxedn	67	21	repeated	repeat	VERB
cord-121428-79wyxedn	67	22	upgrading	upgrading	NOUN
cord-121428-79wyxedn	67	23	based	base	VERB
cord-121428-79wyxedn	67	24	on	on	ADP
cord-121428-79wyxedn	67	25	well	well	ADV
cord-121428-79wyxedn	67	26	-	-	PUNCT
cord-121428-79wyxedn	67	27	established	establish	VERB
cord-121428-79wyxedn	67	28	rules	rule	NOUN
cord-121428-79wyxedn	67	29	.	.	PUNCT
cord-121428-79wyxedn	68	1	to	to	ADP
cord-121428-79wyxedn	68	2	this	this	DET
cord-121428-79wyxedn	68	3	extent	extent	NOUN
cord-121428-79wyxedn	68	4	,	,	PUNCT
cord-121428-79wyxedn	68	5	it	it	PRON
cord-121428-79wyxedn	68	6	is	be	AUX
cord-121428-79wyxedn	68	7	enough	enough	ADJ
cord-121428-79wyxedn	68	8	to	to	PART
cord-121428-79wyxedn	68	9	recall	recall	VERB
cord-121428-79wyxedn	68	10	that	that	SCONJ
cord-121428-79wyxedn	68	11	the	the	DET
cord-121428-79wyxedn	68	12	daily	daily	ADJ
cord-121428-79wyxedn	68	13	life	life	NOUN
cord-121428-79wyxedn	68	14	of	of	ADP
cord-121428-79wyxedn	68	15	each	each	DET
cord-121428-79wyxedn	68	16	person	person	NOUN
cord-121428-79wyxedn	68	17	is	be	AUX
cord-121428-79wyxedn	68	18	based	base	VERB
cord-121428-79wyxedn	68	19	on	on	ADP
cord-121428-79wyxedn	68	20	a	a	DET
cord-121428-79wyxedn	68	21	certain	certain	ADJ
cord-121428-79wyxedn	68	22	number	number	NOUN
cord-121428-79wyxedn	68	23	of	of	ADP
cord-121428-79wyxedn	68	24	activities	activity	NOUN
cord-121428-79wyxedn	68	25	,	,	PUNCT
cord-121428-79wyxedn	68	26	and	and	CCONJ
cord-121428-79wyxedn	68	27	each	each	DET
cord-121428-79wyxedn	68	28	activity	activity	NOUN
cord-121428-79wyxedn	68	29	carries	carry	VERB
cord-121428-79wyxedn	68	30	a	a	DET
cord-121428-79wyxedn	68	31	certain	certain	ADJ
cord-121428-79wyxedn	68	32	number	number	NOUN
cord-121428-79wyxedn	68	33	of	of	ADP
cord-121428-79wyxedn	68	34	contacts	contact	NOUN
cord-121428-79wyxedn	68	35	.	.	PUNCT
cord-121428-79wyxedn	69	1	moreover	moreover	ADV
cord-121428-79wyxedn	69	2	,	,	PUNCT
cord-121428-79wyxedn	69	3	for	for	ADP
cord-121428-79wyxedn	69	4	any	any	DET
cord-121428-79wyxedn	69	5	given	give	VERB
cord-121428-79wyxedn	69	6	activity	activity	NOUN
cord-121428-79wyxedn	69	7	,	,	PUNCT
cord-121428-79wyxedn	69	8	the	the	DET
cord-121428-79wyxedn	69	9	number	number	NOUN
cord-121428-79wyxedn	69	10	of	of	ADP
cord-121428-79wyxedn	69	11	social	social	ADJ
cord-121428-79wyxedn	69	12	contacts	contact	NOUN
cord-121428-79wyxedn	69	13	varies	vary	VERB
cord-121428-79wyxedn	69	14	in	in	ADP
cord-121428-79wyxedn	69	15	consequence	consequence	NOUN
cord-121428-79wyxedn	69	16	of	of	ADP
cord-121428-79wyxedn	69	17	the	the	DET
cord-121428-79wyxedn	69	18	personal	personal	ADJ
cord-121428-79wyxedn	69	19	choice	choice	NOUN
cord-121428-79wyxedn	69	20	.	.	PUNCT
cord-121428-79wyxedn	70	1	the	the	DET
cord-121428-79wyxedn	70	2	typical	typical	ADJ
cord-121428-79wyxedn	70	3	example	example	NOUN
cord-121428-79wyxedn	70	4	is	be	AUX
cord-121428-79wyxedn	70	5	the	the	DET
cord-121428-79wyxedn	70	6	use	use	NOUN
cord-121428-79wyxedn	70	7	or	or	CCONJ
cord-121428-79wyxedn	70	8	not	not	PART
cord-121428-79wyxedn	70	9	of	of	ADP
cord-121428-79wyxedn	70	10	public	public	ADJ
cord-121428-79wyxedn	70	11	transportations	transportation	NOUN
cord-121428-79wyxedn	70	12	to	to	PART
cord-121428-79wyxedn	70	13	reach	reach	VERB
cord-121428-79wyxedn	70	14	the	the	DET
cord-121428-79wyxedn	70	15	place	place	NOUN
cord-121428-79wyxedn	70	16	of	of	ADP
cord-121428-79wyxedn	70	17	work	work	NOUN
cord-121428-79wyxedn	70	18	or	or	CCONJ
cord-121428-79wyxedn	70	19	the	the	DET
cord-121428-79wyxedn	70	20	social	social	ADJ
cord-121428-79wyxedn	70	21	attitudes	attitude	NOUN
cord-121428-79wyxedn	70	22	which	which	PRON
cord-121428-79wyxedn	70	23	scales	scale	VERB
cord-121428-79wyxedn	70	24	with	with	ADP
cord-121428-79wyxedn	70	25	the	the	DET
cord-121428-79wyxedn	70	26	age	age	NOUN
cord-121428-79wyxedn	70	27	.	.	PUNCT
cord-121428-79wyxedn	71	1	clearly	clearly	ADV
cord-121428-79wyxedn	71	2	,	,	PUNCT
cord-121428-79wyxedn	71	3	independently	independently	ADV
cord-121428-79wyxedn	71	4	of	of	ADP
cord-121428-79wyxedn	71	5	the	the	DET
cord-121428-79wyxedn	71	6	personal	personal	ADJ
cord-121428-79wyxedn	71	7	choices	choice	NOUN
cord-121428-79wyxedn	71	8	or	or	CCONJ
cord-121428-79wyxedn	71	9	needs	need	NOUN
cord-121428-79wyxedn	71	10	,	,	PUNCT
cord-121428-79wyxedn	71	11	the	the	DET
cord-121428-79wyxedn	71	12	number	number	NOUN
cord-121428-79wyxedn	71	13	of	of	ADP
cord-121428-79wyxedn	71	14	daily	daily	ADJ
cord-121428-79wyxedn	71	15	social	social	ADJ
cord-121428-79wyxedn	71	16	contacts	contact	NOUN
cord-121428-79wyxedn	71	17	contains	contain	VERB
cord-121428-79wyxedn	71	18	a	a	DET
cord-121428-79wyxedn	71	19	certain	certain	ADJ
cord-121428-79wyxedn	71	20	amount	amount	NOUN
cord-121428-79wyxedn	71	21	of	of	ADP
cord-121428-79wyxedn	71	22	randomness	randomness	NOUN
cord-121428-79wyxedn	71	23	,	,	PUNCT
cord-121428-79wyxedn	71	24	that	that	PRON
cord-121428-79wyxedn	71	25	has	have	VERB
cord-121428-79wyxedn	71	26	to	to	PART
cord-121428-79wyxedn	71	27	be	be	AUX
cord-121428-79wyxedn	71	28	taken	take	VERB
cord-121428-79wyxedn	71	29	into	into	ADP
cord-121428-79wyxedn	71	30	account	account	NOUN
cord-121428-79wyxedn	71	31	.	.	PUNCT
cord-121428-79wyxedn	72	1	also	also	ADV
cord-121428-79wyxedn	72	2	,	,	PUNCT
cord-121428-79wyxedn	72	3	while	while	SCONJ
cord-121428-79wyxedn	72	4	it	it	PRON
cord-121428-79wyxedn	72	5	is	be	AUX
cord-121428-79wyxedn	72	6	very	very	ADV
cord-121428-79wyxedn	72	7	easy	easy	ADJ
cord-121428-79wyxedn	72	8	to	to	PART
cord-121428-79wyxedn	72	9	reach	reach	VERB
cord-121428-79wyxedn	72	10	a	a	DET
cord-121428-79wyxedn	72	11	high	high	ADJ
cord-121428-79wyxedn	72	12	number	number	NOUN
cord-121428-79wyxedn	72	13	of	of	ADP
cord-121428-79wyxedn	72	14	social	social	ADJ
cord-121428-79wyxedn	72	15	contacts	contact	NOUN
cord-121428-79wyxedn	72	16	attending	attend	VERB
cord-121428-79wyxedn	72	17	crowded	crowded	ADJ
cord-121428-79wyxedn	72	18	places	place	NOUN
cord-121428-79wyxedn	72	19	for	for	ADP
cord-121428-79wyxedn	72	20	need	need	NOUN
cord-121428-79wyxedn	72	21	or	or	CCONJ
cord-121428-79wyxedn	72	22	will	will	NOUN
cord-121428-79wyxedn	72	23	,	,	PUNCT
cord-121428-79wyxedn	72	24	going	go	VERB
cord-121428-79wyxedn	72	25	below	below	ADP
cord-121428-79wyxedn	72	26	a	a	DET
cord-121428-79wyxedn	72	27	given	give	VERB
cord-121428-79wyxedn	72	28	threshold	threshold	NOUN
cord-121428-79wyxedn	72	29	is	be	AUX
cord-121428-79wyxedn	72	30	very	very	ADV
cord-121428-79wyxedn	72	31	difficult	difficult	ADJ
cord-121428-79wyxedn	72	32	,	,	PUNCT
cord-121428-79wyxedn	72	33	since	since	SCONJ
cord-121428-79wyxedn	72	34	various	various	ADJ
cord-121428-79wyxedn	72	35	contacts	contact	NOUN
cord-121428-79wyxedn	72	36	are	be	AUX
cord-121428-79wyxedn	72	37	forced	force	VERB
cord-121428-79wyxedn	72	38	by	by	ADP
cord-121428-79wyxedn	72	39	working	working	NOUN
cord-121428-79wyxedn	72	40	or	or	CCONJ
cord-121428-79wyxedn	72	41	school	school	NOUN
cord-121428-79wyxedn	72	42	activities	activity	NOUN
cord-121428-79wyxedn	72	43	,	,	PUNCT
cord-121428-79wyxedn	72	44	among	among	ADP
cord-121428-79wyxedn	72	45	others	other	NOUN
cord-121428-79wyxedn	72	46	causes	cause	NOUN
cord-121428-79wyxedn	72	47	.	.	PUNCT
cord-121428-79wyxedn	73	1	this	this	DET
cord-121428-79wyxedn	73	2	asymmetry	asymmetry	NOUN
cord-121428-79wyxedn	73	3	between	between	ADP
cord-121428-79wyxedn	73	4	growth	growth	NOUN
cord-121428-79wyxedn	73	5	and	and	CCONJ
cord-121428-79wyxedn	73	6	decrease	decrease	NOUN
cord-121428-79wyxedn	73	7	,	,	PUNCT
cord-121428-79wyxedn	73	8	as	as	ADV
cord-121428-79wyxedn	73	9	exhaustively	exhaustively	ADV
cord-121428-79wyxedn	73	10	discussed	discuss	VERB
cord-121428-79wyxedn	73	11	in	in	ADP
cord-121428-79wyxedn	73	12	[	[	SYM
cord-121428-79wyxedn	73	13	14	14	NUM
cord-121428-79wyxedn	73	14	,	,	PUNCT
cord-121428-79wyxedn	73	15	27	27	NUM
cord-121428-79wyxedn	73	16	,	,	PUNCT
cord-121428-79wyxedn	73	17	28	28	NUM
cord-121428-79wyxedn	73	18	]	]	PUNCT
cord-121428-79wyxedn	73	19	,	,	PUNCT
cord-121428-79wyxedn	73	20	can	can	AUX
cord-121428-79wyxedn	73	21	be	be	AUX
cord-121428-79wyxedn	73	22	suitably	suitably	ADV
cord-121428-79wyxedn	73	23	modeled	model	VERB
cord-121428-79wyxedn	73	24	by	by	ADP
cord-121428-79wyxedn	73	25	resorting	resort	VERB
cord-121428-79wyxedn	73	26	to	to	ADP
cord-121428-79wyxedn	73	27	the	the	DET
cord-121428-79wyxedn	73	28	value	value	NOUN
cord-121428-79wyxedn	73	29	function	function	NOUN
cord-121428-79wyxedn	73	30	description	description	NOUN
cord-121428-79wyxedn	73	31	of	of	ADP
cord-121428-79wyxedn	73	32	the	the	DET
cord-121428-79wyxedn	73	33	elementary	elementary	ADJ
cord-121428-79wyxedn	73	34	variation	variation	NOUN
cord-121428-79wyxedn	73	35	of	of	ADP
cord-121428-79wyxedn	73	36	the	the	DET
cord-121428-79wyxedn	73	37	x	x	SYM
cord-121428-79wyxedn	73	38	variable	variable	NOUN
cord-121428-79wyxedn	73	39	.	.	PUNCT
cord-121428-79wyxedn	74	1	it	it	PRON
cord-121428-79wyxedn	74	2	is	be	AUX
cord-121428-79wyxedn	74	3	important	important	ADJ
cord-121428-79wyxedn	74	4	to	to	PART
cord-121428-79wyxedn	74	5	outline	outline	VERB
cord-121428-79wyxedn	74	6	that	that	SCONJ
cord-121428-79wyxedn	74	7	,	,	PUNCT
cord-121428-79wyxedn	74	8	in	in	ADP
cord-121428-79wyxedn	74	9	the	the	DET
cord-121428-79wyxedn	74	10	presence	presence	NOUN
cord-121428-79wyxedn	74	11	of	of	ADP
cord-121428-79wyxedn	74	12	an	an	DET
cord-121428-79wyxedn	74	13	epidemic	epidemic	NOUN
cord-121428-79wyxedn	74	14	,	,	PUNCT
cord-121428-79wyxedn	74	15	the	the	DET
cord-121428-79wyxedn	74	16	characteristic	characteristic	ADJ
cord-121428-79wyxedn	74	17	mean	mean	ADJ
cord-121428-79wyxedn	74	18	number	number	NOUN
cord-121428-79wyxedn	74	19	of	of	ADP
cord-121428-79wyxedn	74	20	daily	daily	ADJ
cord-121428-79wyxedn	74	21	contactsx	contactsx	PROPN
cord-121428-79wyxedn	74	22	m	m	VERB
cord-121428-79wyxedn	74	23	reasonably	reasonably	ADV
cord-121428-79wyxedn	74	24	changes	change	NOUN
cord-121428-79wyxedn	74	25	in	in	ADP
cord-121428-79wyxedn	74	26	time	time	NOUN
cord-121428-79wyxedn	74	27	,	,	PUNCT
cord-121428-79wyxedn	74	28	even	even	ADV
cord-121428-79wyxedn	74	29	in	in	ADP
cord-121428-79wyxedn	74	30	absence	absence	NOUN
cord-121428-79wyxedn	74	31	of	of	ADP
cord-121428-79wyxedn	74	32	an	an	DET
cord-121428-79wyxedn	74	33	external	external	ADJ
cord-121428-79wyxedn	74	34	lockdown	lockdown	NOUN
cord-121428-79wyxedn	74	35	intervention	intervention	NOUN
cord-121428-79wyxedn	74	36	,	,	PUNCT
cord-121428-79wyxedn	74	37	in	in	ADP
cord-121428-79wyxedn	74	38	reason	reason	NOUN
cord-121428-79wyxedn	74	39	of	of	ADP
cord-121428-79wyxedn	74	40	the	the	DET
cord-121428-79wyxedn	74	41	perception	perception	NOUN
cord-121428-79wyxedn	74	42	of	of	ADP
cord-121428-79wyxedn	74	43	danger	danger	NOUN
cord-121428-79wyxedn	74	44	linked	link	VERB
cord-121428-79wyxedn	74	45	to	to	ADP
cord-121428-79wyxedn	74	46	social	social	ADJ
cord-121428-79wyxedn	74	47	contacts	contact	NOUN
cord-121428-79wyxedn	74	48	that	that	PRON
cord-121428-79wyxedn	74	49	people	people	NOUN
cord-121428-79wyxedn	74	50	manifest	manifest	VERB
cord-121428-79wyxedn	74	51	.	.	PUNCT
cord-121428-79wyxedn	75	1	consequently	consequently	ADV
cord-121428-79wyxedn	75	2	,	,	PUNCT
cord-121428-79wyxedn	75	3	even	even	ADV
cord-121428-79wyxedn	75	4	if	if	SCONJ
cord-121428-79wyxedn	75	5	not	not	PART
cord-121428-79wyxedn	75	6	always	always	ADV
cord-121428-79wyxedn	75	7	explicitly	explicitly	ADV
cord-121428-79wyxedn	75	8	indicated	indicate	VERB
cord-121428-79wyxedn	75	9	,	,	PUNCT
cord-121428-79wyxedn	75	10	we	we	PRON
cord-121428-79wyxedn	75	11	will	will	AUX
cord-121428-79wyxedn	75	12	assumex	assumex	PROPN
cord-121428-79wyxedn	75	13	m	m	VERB
cord-121428-79wyxedn	75	14	=	=	PROPN
cord-121428-79wyxedn	75	15	x	x	X
cord-121428-79wyxedn	75	16	m	m	PROPN
cord-121428-79wyxedn	75	17	(	(	PUNCT
cord-121428-79wyxedn	75	18	t	t	NOUN
cord-121428-79wyxedn	75	19	)	)	PUNCT
cord-121428-79wyxedn	75	20	.	.	PUNCT
cord-121428-79wyxedn	76	1	also	also	ADV
cord-121428-79wyxedn	76	2	,	,	PUNCT
cord-121428-79wyxedn	76	3	this	this	DET
cord-121428-79wyxedn	76	4	time	time	NOUN
cord-121428-79wyxedn	76	5	dependent	dependent	ADJ
cord-121428-79wyxedn	76	6	value	value	NOUN
cord-121428-79wyxedn	76	7	can	can	AUX
cord-121428-79wyxedn	76	8	be	be	AUX
cord-121428-79wyxedn	76	9	different	different	ADJ
cord-121428-79wyxedn	76	10	depending	depend	VERB
cord-121428-79wyxedn	76	11	on	on	ADP
cord-121428-79wyxedn	76	12	the	the	DET
cord-121428-79wyxedn	76	13	class	class	NOUN
cord-121428-79wyxedn	76	14	to	to	PART
cord-121428-79wyxedn	76	15	which	which	PRON
cord-121428-79wyxedn	76	16	agents	agent	NOUN
cord-121428-79wyxedn	76	17	belong	belong	VERB
cord-121428-79wyxedn	76	18	.	.	PUNCT
cord-121428-79wyxedn	77	1	a	a	DET
cord-121428-79wyxedn	77	2	further	further	ADJ
cord-121428-79wyxedn	77	3	non	non	ADJ
cord-121428-79wyxedn	77	4	secondary	secondary	ADJ
cord-121428-79wyxedn	77	5	aspect	aspect	NOUN
cord-121428-79wyxedn	77	6	of	of	ADP
cord-121428-79wyxedn	77	7	the	the	DET
cord-121428-79wyxedn	77	8	formation	formation	NOUN
cord-121428-79wyxedn	77	9	of	of	ADP
cord-121428-79wyxedn	77	10	the	the	DET
cord-121428-79wyxedn	77	11	number	number	NOUN
cord-121428-79wyxedn	77	12	of	of	ADP
cord-121428-79wyxedn	77	13	social	social	ADJ
cord-121428-79wyxedn	77	14	contacts	contact	NOUN
cord-121428-79wyxedn	77	15	is	be	AUX
cord-121428-79wyxedn	77	16	that	that	SCONJ
cord-121428-79wyxedn	77	17	their	their	PRON
cord-121428-79wyxedn	77	18	frequency	frequency	NOUN
cord-121428-79wyxedn	77	19	is	be	AUX
cord-121428-79wyxedn	77	20	not	not	PART
cord-121428-79wyxedn	77	21	uniform	uniform	ADJ
cord-121428-79wyxedn	77	22	with	with	ADP
cord-121428-79wyxedn	77	23	respect	respect	NOUN
cord-121428-79wyxedn	77	24	to	to	ADP
cord-121428-79wyxedn	77	25	the	the	DET
cord-121428-79wyxedn	77	26	values	value	NOUN
cord-121428-79wyxedn	77	27	of	of	ADP
cord-121428-79wyxedn	77	28	x.	x.	PROPN
cord-121428-79wyxedn	77	29	indeed	indeed	ADV
cord-121428-79wyxedn	77	30	,	,	PUNCT
cord-121428-79wyxedn	77	31	it	it	PRON
cord-121428-79wyxedn	77	32	is	be	AUX
cord-121428-79wyxedn	77	33	reasonable	reasonable	ADJ
cord-121428-79wyxedn	77	34	to	to	PART
cord-121428-79wyxedn	77	35	assume	assume	VERB
cord-121428-79wyxedn	77	36	that	that	SCONJ
cord-121428-79wyxedn	77	37	the	the	DET
cord-121428-79wyxedn	77	38	frequency	frequency	NOUN
cord-121428-79wyxedn	77	39	of	of	ADP
cord-121428-79wyxedn	77	40	interactions	interaction	NOUN
cord-121428-79wyxedn	77	41	is	be	AUX
cord-121428-79wyxedn	77	42	inversely	inversely	ADV
cord-121428-79wyxedn	77	43	proportional	proportional	ADJ
cord-121428-79wyxedn	77	44	to	to	ADP
cord-121428-79wyxedn	77	45	the	the	DET
cord-121428-79wyxedn	77	46	number	number	NOUN
cord-121428-79wyxedn	77	47	of	of	ADP
cord-121428-79wyxedn	77	48	contacts	contact	NOUN
cord-121428-79wyxedn	77	49	x.	x.	PUNCT
cord-121428-79wyxedn	78	1	this	this	DET
cord-121428-79wyxedn	78	2	relationship	relationship	NOUN
cord-121428-79wyxedn	78	3	takes	take	VERB
cord-121428-79wyxedn	78	4	into	into	ADP
cord-121428-79wyxedn	78	5	account	account	NOUN
cord-121428-79wyxedn	78	6	that	that	SCONJ
cord-121428-79wyxedn	78	7	it	it	PRON
cord-121428-79wyxedn	78	8	is	be	AUX
cord-121428-79wyxedn	78	9	highly	highly	ADV
cord-121428-79wyxedn	78	10	probable	probable	ADJ
cord-121428-79wyxedn	78	11	to	to	PART
cord-121428-79wyxedn	78	12	have	have	VERB
cord-121428-79wyxedn	78	13	at	at	ADP
cord-121428-79wyxedn	78	14	least	least	ADJ
cord-121428-79wyxedn	78	15	some	some	PRON
cord-121428-79wyxedn	78	16	contacts	contact	NOUN
cord-121428-79wyxedn	78	17	,	,	PUNCT
cord-121428-79wyxedn	78	18	and	and	CCONJ
cord-121428-79wyxedn	78	19	the	the	DET
cord-121428-79wyxedn	78	20	rare	rare	ADJ
cord-121428-79wyxedn	78	21	situation	situation	NOUN
cord-121428-79wyxedn	78	22	in	in	ADP
cord-121428-79wyxedn	78	23	which	which	PRON
cord-121428-79wyxedn	78	24	one	one	NOUN
cord-121428-79wyxedn	78	25	reaches	reach	VERB
cord-121428-79wyxedn	78	26	a	a	DET
cord-121428-79wyxedn	78	27	very	very	ADV
cord-121428-79wyxedn	78	28	high	high	ADJ
cord-121428-79wyxedn	78	29	values	value	NOUN
cord-121428-79wyxedn	78	30	of	of	ADP
cord-121428-79wyxedn	78	31	contacts	contact	NOUN
cord-121428-79wyxedn	78	32	x.	x.	PUNCT
cord-121428-79wyxedn	79	1	the	the	DET
cord-121428-79wyxedn	79	2	choice	choice	NOUN
cord-121428-79wyxedn	79	3	of	of	ADP
cord-121428-79wyxedn	79	4	a	a	DET
cord-121428-79wyxedn	79	5	variable	variable	ADJ
cord-121428-79wyxedn	79	6	interaction	interaction	NOUN
cord-121428-79wyxedn	79	7	frequency	frequency	NOUN
cord-121428-79wyxedn	79	8	has	have	AUX
cord-121428-79wyxedn	79	9	been	be	AUX
cord-121428-79wyxedn	79	10	fruitfully	fruitfully	ADV
cord-121428-79wyxedn	79	11	applied	apply	VERB
cord-121428-79wyxedn	79	12	in	in	ADP
cord-121428-79wyxedn	79	13	a	a	DET
cord-121428-79wyxedn	79	14	different	different	ADJ
cord-121428-79wyxedn	79	15	context	context	NOUN
cord-121428-79wyxedn	79	16	in	in	ADP
cord-121428-79wyxedn	79	17	a	a	DET
cord-121428-79wyxedn	79	18	different	different	ADJ
cord-121428-79wyxedn	79	19	situation	situation	NOUN
cord-121428-79wyxedn	79	20	[	[	PUNCT
cord-121428-79wyxedn	79	21	22	22	NUM
cord-121428-79wyxedn	79	22	]	]	PUNCT
cord-121428-79wyxedn	79	23	.	.	PUNCT
cord-121428-79wyxedn	80	1	this	this	PRON
cord-121428-79wyxedn	80	2	was	be	AUX
cord-121428-79wyxedn	80	3	done	do	VERB
cord-121428-79wyxedn	80	4	to	to	PART
cord-121428-79wyxedn	80	5	better	well	ADV
cord-121428-79wyxedn	80	6	describe	describe	VERB
cord-121428-79wyxedn	80	7	the	the	DET
cord-121428-79wyxedn	80	8	evolution	evolution	NOUN
cord-121428-79wyxedn	80	9	in	in	ADP
cord-121428-79wyxedn	80	10	time	time	NOUN
cord-121428-79wyxedn	80	11	of	of	ADP
cord-121428-79wyxedn	80	12	the	the	DET
cord-121428-79wyxedn	80	13	wealth	wealth	NOUN
cord-121428-79wyxedn	80	14	distribution	distribution	NOUN
cord-121428-79wyxedn	80	15	in	in	ADP
cord-121428-79wyxedn	80	16	a	a	DET
cord-121428-79wyxedn	80	17	western	western	ADJ
cord-121428-79wyxedn	80	18	society	society	NOUN
cord-121428-79wyxedn	80	19	.	.	PUNCT
cord-121428-79wyxedn	81	1	there	there	ADV
cord-121428-79wyxedn	81	2	,	,	PUNCT
cord-121428-79wyxedn	81	3	the	the	DET
cord-121428-79wyxedn	81	4	frequency	frequency	NOUN
cord-121428-79wyxedn	81	5	of	of	ADP
cord-121428-79wyxedn	81	6	the	the	DET
cord-121428-79wyxedn	81	7	economic	economic	ADJ
cord-121428-79wyxedn	81	8	transactions	transaction	NOUN
cord-121428-79wyxedn	81	9	has	have	AUX
cord-121428-79wyxedn	81	10	been	be	AUX
cord-121428-79wyxedn	81	11	proportionally	proportionally	ADV
cord-121428-79wyxedn	81	12	related	relate	VERB
cord-121428-79wyxedn	81	13	to	to	ADP
cord-121428-79wyxedn	81	14	the	the	DET
cord-121428-79wyxedn	81	15	values	value	NOUN
cord-121428-79wyxedn	81	16	of	of	ADP
cord-121428-79wyxedn	81	17	the	the	DET
cord-121428-79wyxedn	81	18	wealth	wealth	NOUN
cord-121428-79wyxedn	81	19	involved	involve	VERB
cord-121428-79wyxedn	81	20	,	,	PUNCT
cord-121428-79wyxedn	81	21	to	to	PART
cord-121428-79wyxedn	81	22	take	take	VERB
cord-121428-79wyxedn	81	23	into	into	ADP
cord-121428-79wyxedn	81	24	account	account	NOUN
cord-121428-79wyxedn	81	25	the	the	DET
cord-121428-79wyxedn	81	26	low	low	ADJ
cord-121428-79wyxedn	81	27	interest	interest	NOUN
cord-121428-79wyxedn	81	28	of	of	ADP
cord-121428-79wyxedn	81	29	trading	trading	NOUN
cord-121428-79wyxedn	81	30	agents	agent	NOUN
cord-121428-79wyxedn	81	31	in	in	ADP
cord-121428-79wyxedn	81	32	transactions	transaction	NOUN
cord-121428-79wyxedn	81	33	with	with	ADP
cord-121428-79wyxedn	81	34	small	small	ADJ
cord-121428-79wyxedn	81	35	values	value	NOUN
cord-121428-79wyxedn	81	36	of	of	ADP
cord-121428-79wyxedn	81	37	the	the	DET
cord-121428-79wyxedn	81	38	traded	trade	VERB
cord-121428-79wyxedn	81	39	wealth	wealth	NOUN
cord-121428-79wyxedn	81	40	.	.	PUNCT
cord-121428-79wyxedn	82	1	as	as	SCONJ
cord-121428-79wyxedn	82	2	discussed	discuss	VERB
cord-121428-79wyxedn	82	3	in	in	ADP
cord-121428-79wyxedn	82	4	[	[	X
cord-121428-79wyxedn	82	5	22	22	NUM
cord-121428-79wyxedn	82	6	]	]	PUNCT
cord-121428-79wyxedn	82	7	,	,	PUNCT
cord-121428-79wyxedn	82	8	the	the	DET
cord-121428-79wyxedn	82	9	introduction	introduction	NOUN
cord-121428-79wyxedn	82	10	of	of	ADP
cord-121428-79wyxedn	82	11	a	a	DET
cord-121428-79wyxedn	82	12	variable	variable	ADJ
cord-121428-79wyxedn	82	13	kernel	kernel	NOUN
cord-121428-79wyxedn	82	14	into	into	ADP
cord-121428-79wyxedn	82	15	the	the	DET
cord-121428-79wyxedn	82	16	kinetic	kinetic	ADJ
cord-121428-79wyxedn	82	17	equation	equation	NOUN
cord-121428-79wyxedn	82	18	does	do	AUX
cord-121428-79wyxedn	82	19	not	not	PART
cord-121428-79wyxedn	82	20	modify	modify	VERB
cord-121428-79wyxedn	82	21	the	the	DET
cord-121428-79wyxedn	82	22	shape	shape	NOUN
cord-121428-79wyxedn	82	23	of	of	ADP
cord-121428-79wyxedn	82	24	the	the	DET
cord-121428-79wyxedn	82	25	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	82	26	density	density	NOUN
cord-121428-79wyxedn	82	27	,	,	PUNCT
cord-121428-79wyxedn	82	28	but	but	CCONJ
cord-121428-79wyxedn	82	29	it	it	PRON
cord-121428-79wyxedn	82	30	allows	allow	VERB
cord-121428-79wyxedn	82	31	a	a	DET
cord-121428-79wyxedn	82	32	better	well	ADJ
cord-121428-79wyxedn	82	33	physical	physical	ADJ
cord-121428-79wyxedn	82	34	description	description	NOUN
cord-121428-79wyxedn	82	35	of	of	ADP
cord-121428-79wyxedn	82	36	the	the	DET
cord-121428-79wyxedn	82	37	phenomenon	phenomenon	NOUN
cord-121428-79wyxedn	82	38	under	under	ADP
cord-121428-79wyxedn	82	39	study	study	NOUN
cord-121428-79wyxedn	82	40	,	,	PUNCT
cord-121428-79wyxedn	82	41	including	include	VERB
cord-121428-79wyxedn	82	42	an	an	DET
cord-121428-79wyxedn	82	43	exponential	exponential	ADJ
cord-121428-79wyxedn	82	44	rate	rate	NOUN
cord-121428-79wyxedn	82	45	of	of	ADP
cord-121428-79wyxedn	82	46	relaxation	relaxation	NOUN
cord-121428-79wyxedn	82	47	to	to	ADP
cord-121428-79wyxedn	82	48	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	82	49	for	for	ADP
cord-121428-79wyxedn	82	50	the	the	DET
cord-121428-79wyxedn	82	51	underlying	underlie	VERB
cord-121428-79wyxedn	82	52	fokker	fokker	ADJ
cord-121428-79wyxedn	82	53	-	-	PUNCT
cord-121428-79wyxedn	82	54	planck	planck	NOUN
cord-121428-79wyxedn	82	55	type	type	NOUN
cord-121428-79wyxedn	82	56	equation	equation	NOUN
cord-121428-79wyxedn	82	57	.	.	PUNCT
cord-121428-79wyxedn	83	1	following	follow	VERB
cord-121428-79wyxedn	83	2	[	[	PROPN
cord-121428-79wyxedn	83	3	14	14	NUM
cord-121428-79wyxedn	83	4	,	,	PUNCT
cord-121428-79wyxedn	83	5	27	27	NUM
cord-121428-79wyxedn	83	6	,	,	PUNCT
cord-121428-79wyxedn	83	7	28	28	NUM
cord-121428-79wyxedn	83	8	,	,	PUNCT
cord-121428-79wyxedn	83	9	46	46	NUM
cord-121428-79wyxedn	83	10	]	]	PUNCT
cord-121428-79wyxedn	83	11	,	,	PUNCT
cord-121428-79wyxedn	83	12	we	we	PRON
cord-121428-79wyxedn	83	13	will	will	AUX
cord-121428-79wyxedn	83	14	now	now	ADV
cord-121428-79wyxedn	83	15	illustrate	illustrate	VERB
cord-121428-79wyxedn	83	16	the	the	DET
cord-121428-79wyxedn	83	17	mathematical	mathematical	ADJ
cord-121428-79wyxedn	83	18	formulation	formulation	NOUN
cord-121428-79wyxedn	83	19	of	of	ADP
cord-121428-79wyxedn	83	20	the	the	DET
cord-121428-79wyxedn	83	21	previously	previously	ADV
cord-121428-79wyxedn	83	22	discussed	discuss	VERB
cord-121428-79wyxedn	83	23	behavior	behavior	NOUN
cord-121428-79wyxedn	83	24	.	.	PUNCT
cord-121428-79wyxedn	84	1	in	in	ADP
cord-121428-79wyxedn	84	2	full	full	ADJ
cord-121428-79wyxedn	84	3	generality	generality	NOUN
cord-121428-79wyxedn	84	4	,	,	PUNCT
cord-121428-79wyxedn	84	5	we	we	PRON
cord-121428-79wyxedn	84	6	assume	assume	VERB
cord-121428-79wyxedn	84	7	for	for	ADP
cord-121428-79wyxedn	84	8	the	the	DET
cord-121428-79wyxedn	84	9	moment	moment	NOUN
cord-121428-79wyxedn	84	10	that	that	SCONJ
cord-121428-79wyxedn	84	11	individuals	individual	NOUN
cord-121428-79wyxedn	84	12	in	in	ADP
cord-121428-79wyxedn	84	13	different	different	ADJ
cord-121428-79wyxedn	84	14	classes	class	NOUN
cord-121428-79wyxedn	84	15	can	can	AUX
cord-121428-79wyxedn	84	16	have	have	VERB
cord-121428-79wyxedn	84	17	a	a	DET
cord-121428-79wyxedn	84	18	different	different	ADJ
cord-121428-79wyxedn	84	19	mean	mean	ADJ
cord-121428-79wyxedn	84	20	number	number	NOUN
cord-121428-79wyxedn	84	21	of	of	ADP
cord-121428-79wyxedn	84	22	contacts	contact	NOUN
cord-121428-79wyxedn	84	23	.	.	PUNCT
cord-121428-79wyxedn	85	1	the	the	DET
cord-121428-79wyxedn	85	2	microscopic	microscopic	ADJ
cord-121428-79wyxedn	85	3	updates	update	NOUN
cord-121428-79wyxedn	85	4	of	of	ADP
cord-121428-79wyxedn	85	5	social	social	ADJ
cord-121428-79wyxedn	85	6	contacts	contact	NOUN
cord-121428-79wyxedn	85	7	of	of	ADP
cord-121428-79wyxedn	85	8	individuals	individual	NOUN
cord-121428-79wyxedn	85	9	in	in	ADP
cord-121428-79wyxedn	85	10	the	the	DET
cord-121428-79wyxedn	85	11	class	class	NOUN
cord-121428-79wyxedn	85	12	j	j	PROPN
cord-121428-79wyxedn	85	13	,	,	PUNCT
cord-121428-79wyxedn	85	14	j	j	PROPN
cord-121428-79wyxedn	85	15	∈	∈	PROPN
cord-121428-79wyxedn	85	16	{	{	PUNCT
cord-121428-79wyxedn	85	17	s	s	PROPN
cord-121428-79wyxedn	85	18	,	,	PUNCT
cord-121428-79wyxedn	85	19	i	i	NOUN
cord-121428-79wyxedn	85	20	,	,	PUNCT
cord-121428-79wyxedn	85	21	r	r	NOUN
cord-121428-79wyxedn	85	22	}	}	PUNCT
cord-121428-79wyxedn	85	23	will	will	AUX
cord-121428-79wyxedn	85	24	be	be	AUX
cord-121428-79wyxedn	85	25	taken	take	VERB
cord-121428-79wyxedn	85	26	of	of	ADP
cord-121428-79wyxedn	85	27	the	the	DET
cord-121428-79wyxedn	85	28	form	form	NOUN
cord-121428-79wyxedn	85	29	in	in	ADP
cord-121428-79wyxedn	85	30	a	a	DET
cord-121428-79wyxedn	85	31	single	single	ADJ
cord-121428-79wyxedn	85	32	update	update	NOUN
cord-121428-79wyxedn	85	33	(	(	PUNCT
cord-121428-79wyxedn	85	34	interaction	interaction	NOUN
cord-121428-79wyxedn	85	35	)	)	PUNCT
cord-121428-79wyxedn	85	36	,	,	PUNCT
cord-121428-79wyxedn	85	37	the	the	DET
cord-121428-79wyxedn	85	38	number	number	NOUN
cord-121428-79wyxedn	85	39	x	x	X
cord-121428-79wyxedn	85	40	of	of	ADP
cord-121428-79wyxedn	85	41	contacts	contact	NOUN
cord-121428-79wyxedn	85	42	can	can	AUX
cord-121428-79wyxedn	85	43	be	be	AUX
cord-121428-79wyxedn	85	44	modified	modify	VERB
cord-121428-79wyxedn	85	45	for	for	ADP
cord-121428-79wyxedn	85	46	two	two	NUM
cord-121428-79wyxedn	85	47	reasons	reason	NOUN
cord-121428-79wyxedn	85	48	,	,	PUNCT
cord-121428-79wyxedn	85	49	expressed	express	VERB
cord-121428-79wyxedn	85	50	by	by	ADP
cord-121428-79wyxedn	85	51	two	two	NUM
cord-121428-79wyxedn	85	52	terms	term	NOUN
cord-121428-79wyxedn	85	53	,	,	PUNCT
cord-121428-79wyxedn	85	54	both	both	PRON
cord-121428-79wyxedn	85	55	proportional	proportional	ADJ
cord-121428-79wyxedn	85	56	to	to	ADP
cord-121428-79wyxedn	85	57	the	the	DET
cord-121428-79wyxedn	85	58	value	value	NOUN
cord-121428-79wyxedn	85	59	x.	x.	NOUN
cord-121428-79wyxedn	85	60	in	in	ADP
cord-121428-79wyxedn	85	61	the	the	DET
cord-121428-79wyxedn	85	62	first	first	ADJ
cord-121428-79wyxedn	85	63	one	one	NUM
cord-121428-79wyxedn	85	64	,	,	PUNCT
cord-121428-79wyxedn	85	65	the	the	DET
cord-121428-79wyxedn	85	66	coefficient	coefficient	NOUN
cord-121428-79wyxedn	85	67	φ	φ	NOUN
cord-121428-79wyxedn	85	68	(	(	PUNCT
cord-121428-79wyxedn	85	69	·	·	PUNCT
cord-121428-79wyxedn	85	70	)	)	PUNCT
cord-121428-79wyxedn	85	71	,	,	PUNCT
cord-121428-79wyxedn	85	72	which	which	PRON
cord-121428-79wyxedn	85	73	can	can	AUX
cord-121428-79wyxedn	85	74	assume	assume	VERB
cord-121428-79wyxedn	85	75	both	both	CCONJ
cord-121428-79wyxedn	85	76	positive	positive	ADJ
cord-121428-79wyxedn	85	77	and	and	CCONJ
cord-121428-79wyxedn	85	78	negative	negative	ADJ
cord-121428-79wyxedn	85	79	values	value	NOUN
cord-121428-79wyxedn	85	80	,	,	PUNCT
cord-121428-79wyxedn	85	81	characterizes	characterize	VERB
cord-121428-79wyxedn	85	82	the	the	DET
cord-121428-79wyxedn	85	83	typical	typical	ADJ
cord-121428-79wyxedn	85	84	and	and	CCONJ
cord-121428-79wyxedn	85	85	predictable	predictable	ADJ
cord-121428-79wyxedn	85	86	variation	variation	NOUN
cord-121428-79wyxedn	85	87	of	of	ADP
cord-121428-79wyxedn	85	88	the	the	DET
cord-121428-79wyxedn	85	89	social	social	ADJ
cord-121428-79wyxedn	85	90	contacts	contact	NOUN
cord-121428-79wyxedn	85	91	of	of	ADP
cord-121428-79wyxedn	85	92	agents	agent	NOUN
cord-121428-79wyxedn	85	93	,	,	PUNCT
cord-121428-79wyxedn	85	94	namely	namely	ADV
cord-121428-79wyxedn	85	95	the	the	DET
cord-121428-79wyxedn	85	96	personal	personal	ADJ
cord-121428-79wyxedn	85	97	social	social	ADJ
cord-121428-79wyxedn	85	98	behavior	behavior	NOUN
cord-121428-79wyxedn	85	99	of	of	ADP
cord-121428-79wyxedn	85	100	agents	agent	NOUN
cord-121428-79wyxedn	85	101	.	.	PUNCT
cord-121428-79wyxedn	86	1	the	the	DET
cord-121428-79wyxedn	86	2	second	second	ADJ
cord-121428-79wyxedn	86	3	term	term	NOUN
cord-121428-79wyxedn	86	4	takes	take	VERB
cord-121428-79wyxedn	86	5	into	into	ADP
cord-121428-79wyxedn	86	6	account	account	NOUN
cord-121428-79wyxedn	86	7	a	a	DET
cord-121428-79wyxedn	86	8	certain	certain	ADJ
cord-121428-79wyxedn	86	9	amount	amount	NOUN
cord-121428-79wyxedn	86	10	of	of	ADP
cord-121428-79wyxedn	86	11	unpredictability	unpredictability	NOUN
cord-121428-79wyxedn	86	12	in	in	ADP
cord-121428-79wyxedn	86	13	the	the	DET
cord-121428-79wyxedn	86	14	process	process	NOUN
cord-121428-79wyxedn	86	15	.	.	PUNCT
cord-121428-79wyxedn	87	1	the	the	DET
cord-121428-79wyxedn	87	2	usual	usual	ADJ
cord-121428-79wyxedn	87	3	choice	choice	NOUN
cord-121428-79wyxedn	87	4	is	be	AUX
cord-121428-79wyxedn	87	5	to	to	PART
cord-121428-79wyxedn	87	6	assume	assume	VERB
cord-121428-79wyxedn	87	7	that	that	SCONJ
cord-121428-79wyxedn	87	8	the	the	DET
cord-121428-79wyxedn	87	9	random	random	ADJ
cord-121428-79wyxedn	87	10	variable	variable	NOUN
cord-121428-79wyxedn	87	11	η	η	NOUN
cord-121428-79wyxedn	87	12	is	be	AUX
cord-121428-79wyxedn	87	13	of	of	ADP
cord-121428-79wyxedn	87	14	zero	zero	NUM
cord-121428-79wyxedn	87	15	mean	mean	NOUN
cord-121428-79wyxedn	87	16	and	and	CCONJ
cord-121428-79wyxedn	87	17	bounded	bound	VERB
cord-121428-79wyxedn	87	18	variance	variance	NOUN
cord-121428-79wyxedn	87	19	,	,	PUNCT
cord-121428-79wyxedn	87	20	expressed	express	VERB
cord-121428-79wyxedn	87	21	by	by	ADP
cord-121428-79wyxedn	87	22	η	η	PROPN
cord-121428-79wyxedn	87	23	=	=	NOUN
cord-121428-79wyxedn	87	24	0	0	NUM
cord-121428-79wyxedn	87	25	,	,	PUNCT
cord-121428-79wyxedn	87	26	η	η	NOUN
cord-121428-79wyxedn	87	27	2	2	NUM
cord-121428-79wyxedn	87	28	=	=	X
cord-121428-79wyxedn	87	29	λ	λ	PROPN
cord-121428-79wyxedn	87	30	,	,	PUNCT
cord-121428-79wyxedn	87	31	with	with	ADP
cord-121428-79wyxedn	87	32	λ	λ	PROPN
cord-121428-79wyxedn	87	33	>	>	X
cord-121428-79wyxedn	87	34	0	0	NUM
cord-121428-79wyxedn	87	35	.	.	PUNCT
cord-121428-79wyxedn	88	1	small	small	ADJ
cord-121428-79wyxedn	88	2	random	random	ADJ
cord-121428-79wyxedn	88	3	variations	variation	NOUN
cord-121428-79wyxedn	88	4	of	of	ADP
cord-121428-79wyxedn	88	5	the	the	DET
cord-121428-79wyxedn	88	6	interaction	interaction	NOUN
cord-121428-79wyxedn	88	7	(	(	PUNCT
cord-121428-79wyxedn	88	8	5	5	NUM
cord-121428-79wyxedn	88	9	)	)	PUNCT
cord-121428-79wyxedn	88	10	will	will	AUX
cord-121428-79wyxedn	88	11	be	be	AUX
cord-121428-79wyxedn	88	12	expressed	express	VERB
cord-121428-79wyxedn	88	13	simply	simply	ADV
cord-121428-79wyxedn	88	14	by	by	ADP
cord-121428-79wyxedn	88	15	multiplying	multiply	VERB
cord-121428-79wyxedn	88	16	η	η	NOUN
cord-121428-79wyxedn	88	17	by	by	ADP
cord-121428-79wyxedn	88	18	a	a	DET
cord-121428-79wyxedn	88	19	small	small	ADJ
cord-121428-79wyxedn	88	20	positive	positive	ADJ
cord-121428-79wyxedn	88	21	constant	constant	NOUN
cord-121428-79wyxedn	88	22	√	√	PROPN
cord-121428-79wyxedn	88	23	,	,	PUNCT
cord-121428-79wyxedn	88	24	with	with	ADP
cord-121428-79wyxedn	88	25	1	1	NUM
cord-121428-79wyxedn	88	26	,	,	PUNCT
cord-121428-79wyxedn	88	27	which	which	PRON
cord-121428-79wyxedn	88	28	produces	produce	VERB
cord-121428-79wyxedn	88	29	the	the	DET
cord-121428-79wyxedn	88	30	new	new	ADJ
cord-121428-79wyxedn	88	31	(	(	PUNCT
cord-121428-79wyxedn	88	32	small	small	ADJ
cord-121428-79wyxedn	88	33	)	)	PUNCT
cord-121428-79wyxedn	88	34	variance	variance	NOUN
cord-121428-79wyxedn	88	35	λ	λ	PROPN
cord-121428-79wyxedn	88	36	.	.	PUNCT
cord-121428-79wyxedn	89	1	notice	notice	VERB
cord-121428-79wyxedn	89	2	that	that	SCONJ
cord-121428-79wyxedn	89	3	this	this	DET
cord-121428-79wyxedn	89	4	formulation	formulation	NOUN
cord-121428-79wyxedn	89	5	makes	make	VERB
cord-121428-79wyxedn	89	6	an	an	DET
cord-121428-79wyxedn	89	7	essential	essential	ADJ
cord-121428-79wyxedn	89	8	use	use	NOUN
cord-121428-79wyxedn	89	9	of	of	ADP
cord-121428-79wyxedn	89	10	the	the	DET
cord-121428-79wyxedn	89	11	choice	choice	NOUN
cord-121428-79wyxedn	89	12	x	x	X
cord-121428-79wyxedn	89	13	∈	∈	NOUN
cord-121428-79wyxedn	89	14	r	r	NOUN
cord-121428-79wyxedn	89	15	+	+	PUNCT
cord-121428-79wyxedn	89	16	.	.	PUNCT
cord-121428-79wyxedn	90	1	this	this	DET
cord-121428-79wyxedn	90	2	scaled	scale	VERB
cord-121428-79wyxedn	90	3	variable	variable	NOUN
cord-121428-79wyxedn	90	4	is	be	AUX
cord-121428-79wyxedn	90	5	the	the	DET
cord-121428-79wyxedn	90	6	variable	variable	ADJ
cord-121428-79wyxedn	90	7	η	η	NOUN
cord-121428-79wyxedn	90	8	appearing	appear	VERB
cord-121428-79wyxedn	90	9	in	in	ADP
cord-121428-79wyxedn	90	10	(	(	PUNCT
cord-121428-79wyxedn	90	11	5	5	NUM
cord-121428-79wyxedn	90	12	)	)	PUNCT
cord-121428-79wyxedn	90	13	.	.	PUNCT
cord-121428-79wyxedn	91	1	the	the	DET
cord-121428-79wyxedn	91	2	function	function	NOUN
cord-121428-79wyxedn	91	3	φ	φ	NOUN
cord-121428-79wyxedn	91	4	plays	play	VERB
cord-121428-79wyxedn	91	5	the	the	DET
cord-121428-79wyxedn	91	6	role	role	NOUN
cord-121428-79wyxedn	91	7	of	of	ADP
cord-121428-79wyxedn	91	8	the	the	DET
cord-121428-79wyxedn	91	9	value	value	NOUN
cord-121428-79wyxedn	91	10	function	function	NOUN
cord-121428-79wyxedn	91	11	in	in	ADP
cord-121428-79wyxedn	91	12	the	the	DET
cord-121428-79wyxedn	91	13	prospect	prospect	NOUN
cord-121428-79wyxedn	91	14	theory	theory	NOUN
cord-121428-79wyxedn	91	15	of	of	ADP
cord-121428-79wyxedn	91	16	kahneman	kahneman	PROPN
cord-121428-79wyxedn	91	17	and	and	CCONJ
cord-121428-79wyxedn	91	18	twersky	twersky	NOUN
cord-121428-79wyxedn	91	19	[	[	PUNCT
cord-121428-79wyxedn	91	20	30	30	NUM
cord-121428-79wyxedn	91	21	,	,	PUNCT
cord-121428-79wyxedn	91	22	31	31	NUM
cord-121428-79wyxedn	91	23	]	]	PUNCT
cord-121428-79wyxedn	91	24	,	,	PUNCT
cord-121428-79wyxedn	91	25	and	and	CCONJ
cord-121428-79wyxedn	91	26	contains	contain	VERB
cord-121428-79wyxedn	91	27	the	the	DET
cord-121428-79wyxedn	91	28	mathematical	mathematical	ADJ
cord-121428-79wyxedn	91	29	details	detail	NOUN
cord-121428-79wyxedn	91	30	of	of	ADP
cord-121428-79wyxedn	91	31	the	the	DET
cord-121428-79wyxedn	91	32	expected	expected	ADJ
cord-121428-79wyxedn	91	33	human	human	ADJ
cord-121428-79wyxedn	91	34	behavior	behavior	NOUN
cord-121428-79wyxedn	91	35	in	in	ADP
cord-121428-79wyxedn	91	36	the	the	DET
cord-121428-79wyxedn	91	37	phenomenon	phenomenon	NOUN
cord-121428-79wyxedn	91	38	under	under	ADP
cord-121428-79wyxedn	91	39	consideration	consideration	NOUN
cord-121428-79wyxedn	91	40	.	.	PUNCT
cord-121428-79wyxedn	92	1	in	in	ADP
cord-121428-79wyxedn	92	2	particular	particular	ADJ
cord-121428-79wyxedn	92	3	,	,	PUNCT
cord-121428-79wyxedn	92	4	the	the	DET
cord-121428-79wyxedn	92	5	hypothesis	hypothesis	NOUN
cord-121428-79wyxedn	92	6	on	on	ADP
cord-121428-79wyxedn	92	7	which	which	PRON
cord-121428-79wyxedn	92	8	it	it	PRON
cord-121428-79wyxedn	92	9	is	be	AUX
cord-121428-79wyxedn	92	10	built	build	VERB
cord-121428-79wyxedn	92	11	is	be	AUX
cord-121428-79wyxedn	92	12	that	that	SCONJ
cord-121428-79wyxedn	92	13	it	it	PRON
cord-121428-79wyxedn	92	14	is	be	AUX
cord-121428-79wyxedn	92	15	normally	normally	ADV
cord-121428-79wyxedn	92	16	easier	easy	ADJ
cord-121428-79wyxedn	92	17	to	to	PART
cord-121428-79wyxedn	92	18	increase	increase	VERB
cord-121428-79wyxedn	92	19	the	the	DET
cord-121428-79wyxedn	92	20	value	value	NOUN
cord-121428-79wyxedn	92	21	of	of	ADP
cord-121428-79wyxedn	92	22	x	x	X
cord-121428-79wyxedn	92	23	than	than	SCONJ
cord-121428-79wyxedn	92	24	to	to	PART
cord-121428-79wyxedn	92	25	decrease	decrease	VERB
cord-121428-79wyxedn	92	26	it	it	PRON
cord-121428-79wyxedn	92	27	,	,	PUNCT
cord-121428-79wyxedn	92	28	in	in	ADP
cord-121428-79wyxedn	92	29	relationship	relationship	NOUN
cord-121428-79wyxedn	92	30	with	with	ADP
cord-121428-79wyxedn	92	31	the	the	DET
cord-121428-79wyxedn	92	32	mean	mean	NOUN
cord-121428-79wyxedn	92	33	valuē	valuē	PROPN
cord-121428-79wyxedn	92	34	x	x	X
cord-121428-79wyxedn	92	35	j	j	PROPN
cord-121428-79wyxedn	92	36	,	,	PUNCT
cord-121428-79wyxedn	92	37	j	j	PROPN
cord-121428-79wyxedn	92	38	∈	∈	PROPN
cord-121428-79wyxedn	92	39	{	{	PUNCT
cord-121428-79wyxedn	92	40	s	s	PROPN
cord-121428-79wyxedn	92	41	,	,	PUNCT
cord-121428-79wyxedn	92	42	i	i	INTJ
cord-121428-79wyxedn	92	43	,	,	PUNCT
cord-121428-79wyxedn	92	44	r	r	NOUN
cord-121428-79wyxedn	92	45	}	}	PUNCT
cord-121428-79wyxedn	92	46	.	.	PUNCT
cord-121428-79wyxedn	93	1	in	in	ADP
cord-121428-79wyxedn	93	2	terms	term	NOUN
cord-121428-79wyxedn	93	3	of	of	ADP
cord-121428-79wyxedn	93	4	the	the	DET
cord-121428-79wyxedn	93	5	variable	variable	NOUN
cord-121428-79wyxedn	93	6	s	s	PROPN
cord-121428-79wyxedn	93	7	=	=	X
cord-121428-79wyxedn	93	8	x	x	X
cord-121428-79wyxedn	93	9	/	/	NOUN
cord-121428-79wyxedn	93	10	x	x	PUNCT
cord-121428-79wyxedn	93	11	j	j	PROPN
cord-121428-79wyxedn	93	12	we	we	PRON
cord-121428-79wyxedn	93	13	consider	consider	VERB
cord-121428-79wyxedn	93	14	as	as	ADP
cord-121428-79wyxedn	93	15	in	in	ADP
cord-121428-79wyxedn	93	16	[	[	X
cord-121428-79wyxedn	93	17	14	14	NUM
cord-121428-79wyxedn	93	18	]	]	PUNCT
cord-121428-79wyxedn	93	19	the	the	DET
cord-121428-79wyxedn	93	20	class	class	NOUN
cord-121428-79wyxedn	93	21	of	of	ADP
cord-121428-79wyxedn	93	22	value	value	NOUN
cord-121428-79wyxedn	93	23	functions	function	NOUN
cord-121428-79wyxedn	93	24	given	give	VERB
cord-121428-79wyxedn	93	25	by	by	ADP
cord-121428-79wyxedn	93	26	where	where	SCONJ
cord-121428-79wyxedn	93	27	0	0	NUM
cord-121428-79wyxedn	93	28	<	<	X
cord-121428-79wyxedn	93	29	δ	δ	PROPN
cord-121428-79wyxedn	93	30	≤	≤	PROPN
cord-121428-79wyxedn	93	31	1	1	NUM
cord-121428-79wyxedn	93	32	and	and	CCONJ
cord-121428-79wyxedn	93	33	0	0	NUM
cord-121428-79wyxedn	93	34	<	<	X
cord-121428-79wyxedn	93	35	µ	µ	X
cord-121428-79wyxedn	93	36	<	<	X
cord-121428-79wyxedn	93	37	1	1	NUM
cord-121428-79wyxedn	93	38	are	be	AUX
cord-121428-79wyxedn	93	39	suitable	suitable	ADJ
cord-121428-79wyxedn	93	40	constants	constant	NOUN
cord-121428-79wyxedn	93	41	characterizing	characterize	VERB
cord-121428-79wyxedn	93	42	the	the	DET
cord-121428-79wyxedn	93	43	intensity	intensity	NOUN
cord-121428-79wyxedn	93	44	of	of	ADP
cord-121428-79wyxedn	93	45	the	the	DET
cord-121428-79wyxedn	93	46	individual	individual	ADJ
cord-121428-79wyxedn	93	47	behavior	behavior	NOUN
cord-121428-79wyxedn	93	48	,	,	PUNCT
cord-121428-79wyxedn	93	49	while	while	SCONJ
cord-121428-79wyxedn	93	50	the	the	DET
cord-121428-79wyxedn	93	51	constant	constant	ADJ
cord-121428-79wyxedn	93	52	>	>	X
cord-121428-79wyxedn	93	53	0	0	NUM
cord-121428-79wyxedn	93	54	is	be	AUX
cord-121428-79wyxedn	93	55	related	relate	VERB
cord-121428-79wyxedn	93	56	to	to	ADP
cord-121428-79wyxedn	93	57	the	the	DET
cord-121428-79wyxedn	93	58	intensity	intensity	NOUN
cord-121428-79wyxedn	93	59	of	of	ADP
cord-121428-79wyxedn	93	60	the	the	DET
cord-121428-79wyxedn	93	61	interaction	interaction	NOUN
cord-121428-79wyxedn	93	62	.	.	PUNCT
cord-121428-79wyxedn	94	1	hence	hence	ADV
cord-121428-79wyxedn	94	2	,	,	PUNCT
cord-121428-79wyxedn	94	3	the	the	DET
cord-121428-79wyxedn	94	4	choice	choice	NOUN
cord-121428-79wyxedn	94	5	1	1	NUM
cord-121428-79wyxedn	94	6	corresponds	correspond	VERB
cord-121428-79wyxedn	94	7	to	to	ADP
cord-121428-79wyxedn	94	8	small	small	ADJ
cord-121428-79wyxedn	94	9	variations	variation	NOUN
cord-121428-79wyxedn	94	10	of	of	ADP
cord-121428-79wyxedn	94	11	the	the	DET
cord-121428-79wyxedn	94	12	mean	mean	NOUN
cord-121428-79wyxedn	94	13	difference	difference	NOUN
cord-121428-79wyxedn	94	14	x	x	NOUN
cord-121428-79wyxedn	94	15	*	*	PUNCT
cord-121428-79wyxedn	94	16	j	j	NOUN
cord-121428-79wyxedn	94	17	−	−	PUNCT
cord-121428-79wyxedn	94	18	x	x	PROPN
cord-121428-79wyxedn	94	19	and	and	CCONJ
cord-121428-79wyxedn	94	20	making	make	VERB
cord-121428-79wyxedn	94	21	it	it	PRON
cord-121428-79wyxedn	94	22	common	common	ADJ
cord-121428-79wyxedn	94	23	to	to	ADP
cord-121428-79wyxedn	94	24	both	both	DET
cord-121428-79wyxedn	94	25	effects	effect	NOUN
cord-121428-79wyxedn	94	26	,	,	PUNCT
cord-121428-79wyxedn	94	27	randomness	randomness	NOUN
cord-121428-79wyxedn	94	28	and	and	CCONJ
cord-121428-79wyxedn	94	29	adaptation	adaptation	NOUN
cord-121428-79wyxedn	94	30	,	,	PUNCT
cord-121428-79wyxedn	94	31	permits	permit	VERB
cord-121428-79wyxedn	94	32	to	to	PART
cord-121428-79wyxedn	94	33	equilibriate	equilibriate	VERB
cord-121428-79wyxedn	94	34	their	their	PRON
cord-121428-79wyxedn	94	35	effects	effect	NOUN
cord-121428-79wyxedn	94	36	as	as	SCONJ
cord-121428-79wyxedn	94	37	can	can	AUX
cord-121428-79wyxedn	94	38	be	be	AUX
cord-121428-79wyxedn	94	39	seen	see	VERB
cord-121428-79wyxedn	94	40	in	in	ADP
cord-121428-79wyxedn	94	41	section	section	NOUN
cord-121428-79wyxedn	94	42	3	3	NUM
cord-121428-79wyxedn	94	43	.	.	PUNCT
cord-121428-79wyxedn	95	1	in	in	ADP
cord-121428-79wyxedn	95	2	(	(	PUNCT
cord-121428-79wyxedn	95	3	7	7	NUM
cord-121428-79wyxedn	95	4	)	)	PUNCT
cord-121428-79wyxedn	95	5	,	,	PUNCT
cord-121428-79wyxedn	95	6	the	the	DET
cord-121428-79wyxedn	95	7	value	value	NOUN
cord-121428-79wyxedn	95	8	µ	µ	PROPN
cord-121428-79wyxedn	95	9	denotes	denote	VERB
cord-121428-79wyxedn	95	10	the	the	DET
cord-121428-79wyxedn	95	11	maximal	maximal	ADJ
cord-121428-79wyxedn	95	12	amount	amount	NOUN
cord-121428-79wyxedn	95	13	of	of	ADP
cord-121428-79wyxedn	95	14	variation	variation	NOUN
cord-121428-79wyxedn	95	15	of	of	ADP
cord-121428-79wyxedn	95	16	x	x	PROPN
cord-121428-79wyxedn	95	17	that	that	SCONJ
cord-121428-79wyxedn	95	18	agents	agent	NOUN
cord-121428-79wyxedn	95	19	will	will	AUX
cord-121428-79wyxedn	95	20	be	be	AUX
cord-121428-79wyxedn	95	21	able	able	ADJ
cord-121428-79wyxedn	95	22	to	to	PART
cord-121428-79wyxedn	95	23	obtain	obtain	VERB
cord-121428-79wyxedn	95	24	in	in	ADP
cord-121428-79wyxedn	95	25	a	a	DET
cord-121428-79wyxedn	95	26	single	single	ADJ
cord-121428-79wyxedn	95	27	interaction	interaction	NOUN
cord-121428-79wyxedn	95	28	.	.	PUNCT
cord-121428-79wyxedn	96	1	note	note	VERB
cord-121428-79wyxedn	96	2	indeed	indeed	ADV
cord-121428-79wyxedn	96	3	that	that	SCONJ
cord-121428-79wyxedn	96	4	the	the	DET
cord-121428-79wyxedn	96	5	value	value	NOUN
cord-121428-79wyxedn	96	6	function	function	VERB
cord-121428-79wyxedn	96	7	φ	φ	NOUN
cord-121428-79wyxedn	96	8	δ	δ	PROPN
cord-121428-79wyxedn	96	9	(	(	PUNCT
cord-121428-79wyxedn	96	10	s	s	X
cord-121428-79wyxedn	96	11	)	)	PUNCT
cord-121428-79wyxedn	96	12	is	be	AUX
cord-121428-79wyxedn	96	13	such	such	ADJ
cord-121428-79wyxedn	96	14	that	that	SCONJ
cord-121428-79wyxedn	96	15	clearly	clearly	ADV
cord-121428-79wyxedn	96	16	,	,	PUNCT
cord-121428-79wyxedn	96	17	the	the	DET
cord-121428-79wyxedn	96	18	choice	choice	NOUN
cord-121428-79wyxedn	96	19	µ	µ	X
cord-121428-79wyxedn	96	20	<	<	X
cord-121428-79wyxedn	96	21	1	1	NUM
cord-121428-79wyxedn	96	22	implies	imply	VERB
cord-121428-79wyxedn	96	23	that	that	SCONJ
cord-121428-79wyxedn	96	24	,	,	PUNCT
cord-121428-79wyxedn	96	25	in	in	ADP
cord-121428-79wyxedn	96	26	absence	absence	NOUN
cord-121428-79wyxedn	96	27	of	of	ADP
cord-121428-79wyxedn	96	28	randomness	randomness	NOUN
cord-121428-79wyxedn	96	29	,	,	PUNCT
cord-121428-79wyxedn	96	30	the	the	DET
cord-121428-79wyxedn	96	31	value	value	NOUN
cord-121428-79wyxedn	96	32	of	of	ADP
cord-121428-79wyxedn	96	33	x	x	X
cord-121428-79wyxedn	96	34	*	*	PUNCT
cord-121428-79wyxedn	96	35	j	j	PROPN
cord-121428-79wyxedn	96	36	remains	remain	VERB
cord-121428-79wyxedn	96	37	positive	positive	ADJ
cord-121428-79wyxedn	96	38	if	if	SCONJ
cord-121428-79wyxedn	96	39	x	x	PROPN
cord-121428-79wyxedn	96	40	is	be	AUX
cord-121428-79wyxedn	96	41	positive	positive	ADJ
cord-121428-79wyxedn	96	42	.	.	PUNCT
cord-121428-79wyxedn	97	1	as	as	SCONJ
cord-121428-79wyxedn	97	2	proven	prove	VERB
cord-121428-79wyxedn	97	3	in	in	ADP
cord-121428-79wyxedn	97	4	[	[	X
cord-121428-79wyxedn	97	5	14	14	NUM
cord-121428-79wyxedn	97	6	]	]	PUNCT
cord-121428-79wyxedn	97	7	,	,	PUNCT
cord-121428-79wyxedn	97	8	the	the	DET
cord-121428-79wyxedn	97	9	value	value	NOUN
cord-121428-79wyxedn	97	10	function	function	NOUN
cord-121428-79wyxedn	97	11	(	(	PUNCT
cord-121428-79wyxedn	97	12	6	6	NUM
cord-121428-79wyxedn	97	13	)	)	PUNCT
cord-121428-79wyxedn	97	14	satisfies	satisfy	VERB
cord-121428-79wyxedn	97	15	these	these	DET
cord-121428-79wyxedn	97	16	properties	property	NOUN
cord-121428-79wyxedn	97	17	are	be	AUX
cord-121428-79wyxedn	97	18	in	in	ADP
cord-121428-79wyxedn	97	19	agreement	agreement	NOUN
cord-121428-79wyxedn	97	20	with	with	ADP
cord-121428-79wyxedn	97	21	the	the	DET
cord-121428-79wyxedn	97	22	expected	expect	VERB
cord-121428-79wyxedn	97	23	behavior	behavior	NOUN
cord-121428-79wyxedn	97	24	of	of	ADP
cord-121428-79wyxedn	97	25	agents	agent	NOUN
cord-121428-79wyxedn	97	26	,	,	PUNCT
cord-121428-79wyxedn	97	27	since	since	SCONJ
cord-121428-79wyxedn	97	28	deviations	deviation	NOUN
cord-121428-79wyxedn	97	29	from	from	ADP
cord-121428-79wyxedn	97	30	the	the	DET
cord-121428-79wyxedn	97	31	reference	reference	NOUN
cord-121428-79wyxedn	97	32	point	point	NOUN
cord-121428-79wyxedn	97	33	(	(	PUNCT
cord-121428-79wyxedn	97	34	s	s	PROPN
cord-121428-79wyxedn	97	35	=	=	NOUN
cord-121428-79wyxedn	97	36	1	1	NUM
cord-121428-79wyxedn	97	37	in	in	ADP
cord-121428-79wyxedn	97	38	our	our	PRON
cord-121428-79wyxedn	97	39	case	case	NOUN
cord-121428-79wyxedn	97	40	)	)	PUNCT
cord-121428-79wyxedn	97	41	,	,	PUNCT
cord-121428-79wyxedn	97	42	are	be	AUX
cord-121428-79wyxedn	97	43	bigger	big	ADJ
cord-121428-79wyxedn	97	44	below	below	ADP
cord-121428-79wyxedn	97	45	it	it	PRON
cord-121428-79wyxedn	97	46	than	than	ADP
cord-121428-79wyxedn	97	47	above	above	ADV
cord-121428-79wyxedn	97	48	.	.	PUNCT
cord-121428-79wyxedn	98	1	letting	let	VERB
cord-121428-79wyxedn	98	2	δ	δ	PROPN
cord-121428-79wyxedn	98	3	→	→	PUNCT
cord-121428-79wyxedn	98	4	0	0	NUM
cord-121428-79wyxedn	98	5	in	in	ADP
cord-121428-79wyxedn	98	6	(	(	PUNCT
cord-121428-79wyxedn	98	7	6	6	NUM
cord-121428-79wyxedn	98	8	)	)	PUNCT
cord-121428-79wyxedn	98	9	allows	allow	VERB
cord-121428-79wyxedn	98	10	to	to	PART
cord-121428-79wyxedn	98	11	recover	recover	VERB
cord-121428-79wyxedn	98	12	the	the	DET
cord-121428-79wyxedn	98	13	value	value	NOUN
cord-121428-79wyxedn	98	14	function	function	NOUN
cord-121428-79wyxedn	98	15	φ	φ	NOUN
cord-121428-79wyxedn	98	16	0	0	NUM
cord-121428-79wyxedn	98	17	(	(	PUNCT
cord-121428-79wyxedn	98	18	s	s	NOUN
cord-121428-79wyxedn	98	19	)	)	PUNCT
cord-121428-79wyxedn	98	20	=	=	NOUN
cord-121428-79wyxedn	98	21	µ	µ	PROPN
cord-121428-79wyxedn	98	22	s	s	PROPN
cord-121428-79wyxedn	99	1	−	−	SYM
cord-121428-79wyxedn	99	2	1	1	NUM
cord-121428-79wyxedn	99	3	s	s	NOUN
cord-121428-79wyxedn	100	1	+	+	NOUN
cord-121428-79wyxedn	100	2	1	1	NUM
cord-121428-79wyxedn	100	3	,	,	PUNCT
cord-121428-79wyxedn	100	4	s	s	VERB
cord-121428-79wyxedn	100	5	≥	≥	NOUN
cord-121428-79wyxedn	100	6	0	0	NUM
cord-121428-79wyxedn	100	7	.	.	PUNCT
cord-121428-79wyxedn	101	1	introduced	introduce	VERB
cord-121428-79wyxedn	101	2	in	in	ADP
cord-121428-79wyxedn	101	3	[	[	SYM
cord-121428-79wyxedn	101	4	27	27	NUM
cord-121428-79wyxedn	101	5	,	,	PUNCT
cord-121428-79wyxedn	101	6	28	28	NUM
cord-121428-79wyxedn	101	7	]	]	PUNCT
cord-121428-79wyxedn	101	8	to	to	PART
cord-121428-79wyxedn	101	9	describe	describe	VERB
cord-121428-79wyxedn	101	10	phenomena	phenomenon	NOUN
cord-121428-79wyxedn	101	11	characterized	characterize	VERB
cord-121428-79wyxedn	101	12	by	by	ADP
cord-121428-79wyxedn	101	13	the	the	DET
cord-121428-79wyxedn	101	14	lognormal	lognormal	ADJ
cord-121428-79wyxedn	101	15	distribution	distribution	NOUN
cord-121428-79wyxedn	101	16	[	[	X
cord-121428-79wyxedn	101	17	2	2	NUM
cord-121428-79wyxedn	101	18	,	,	PUNCT
cord-121428-79wyxedn	101	19	35	35	NUM
cord-121428-79wyxedn	101	20	]	]	PUNCT
cord-121428-79wyxedn	101	21	.	.	PUNCT
cord-121428-79wyxedn	102	1	once	once	SCONJ
cord-121428-79wyxedn	102	2	the	the	DET
cord-121428-79wyxedn	102	3	elementary	elementary	ADJ
cord-121428-79wyxedn	102	4	interaction	interaction	NOUN
cord-121428-79wyxedn	102	5	(	(	PUNCT
cord-121428-79wyxedn	102	6	5	5	NUM
cord-121428-79wyxedn	102	7	)	)	PUNCT
cord-121428-79wyxedn	102	8	is	be	AUX
cord-121428-79wyxedn	102	9	given	give	VERB
cord-121428-79wyxedn	102	10	,	,	PUNCT
cord-121428-79wyxedn	102	11	for	for	ADP
cord-121428-79wyxedn	102	12	any	any	DET
cord-121428-79wyxedn	102	13	choice	choice	NOUN
cord-121428-79wyxedn	102	14	of	of	ADP
cord-121428-79wyxedn	102	15	the	the	DET
cord-121428-79wyxedn	102	16	value	value	NOUN
cord-121428-79wyxedn	102	17	function	function	NOUN
cord-121428-79wyxedn	102	18	,	,	PUNCT
cord-121428-79wyxedn	102	19	the	the	DET
cord-121428-79wyxedn	102	20	study	study	NOUN
cord-121428-79wyxedn	102	21	of	of	ADP
cord-121428-79wyxedn	102	22	the	the	DET
cord-121428-79wyxedn	102	23	time	time	NOUN
cord-121428-79wyxedn	102	24	-	-	PUNCT
cord-121428-79wyxedn	102	25	evolution	evolution	NOUN
cord-121428-79wyxedn	102	26	of	of	ADP
cord-121428-79wyxedn	102	27	the	the	DET
cord-121428-79wyxedn	102	28	distribution	distribution	NOUN
cord-121428-79wyxedn	102	29	of	of	ADP
cord-121428-79wyxedn	102	30	the	the	DET
cord-121428-79wyxedn	102	31	number	number	NOUN
cord-121428-79wyxedn	102	32	x	x	NOUN
cord-121428-79wyxedn	102	33	of	of	ADP
cord-121428-79wyxedn	102	34	social	social	ADJ
cord-121428-79wyxedn	102	35	contacts	contact	NOUN
cord-121428-79wyxedn	102	36	follows	follow	VERB
cord-121428-79wyxedn	102	37	by	by	ADP
cord-121428-79wyxedn	102	38	resorting	resort	VERB
cord-121428-79wyxedn	102	39	to	to	ADP
cord-121428-79wyxedn	102	40	kinetic	kinetic	VERB
cord-121428-79wyxedn	102	41	collision	collision	NOUN
cord-121428-79wyxedn	102	42	-	-	PUNCT
cord-121428-79wyxedn	102	43	like	like	ADJ
cord-121428-79wyxedn	102	44	models	model	NOUN
cord-121428-79wyxedn	102	45	[	[	NOUN
cord-121428-79wyxedn	102	46	8	8	NUM
cord-121428-79wyxedn	102	47	,	,	PUNCT
cord-121428-79wyxedn	102	48	40	40	NUM
cord-121428-79wyxedn	102	49	]	]	PUNCT
cord-121428-79wyxedn	102	50	,	,	PUNCT
cord-121428-79wyxedn	102	51	that	that	PRON
cord-121428-79wyxedn	102	52	quantify	quantify	VERB
cord-121428-79wyxedn	102	53	at	at	ADP
cord-121428-79wyxedn	102	54	any	any	DET
cord-121428-79wyxedn	102	55	given	give	VERB
cord-121428-79wyxedn	102	56	time	time	NOUN
cord-121428-79wyxedn	102	57	the	the	DET
cord-121428-79wyxedn	102	58	variation	variation	NOUN
cord-121428-79wyxedn	102	59	of	of	ADP
cord-121428-79wyxedn	102	60	the	the	DET
cord-121428-79wyxedn	102	61	density	density	NOUN
cord-121428-79wyxedn	102	62	of	of	ADP
cord-121428-79wyxedn	102	63	the	the	DET
cord-121428-79wyxedn	102	64	contact	contact	NOUN
cord-121428-79wyxedn	102	65	variable	variable	ADJ
cord-121428-79wyxedn	102	66	x	x	X
cord-121428-79wyxedn	102	67	in	in	ADP
cord-121428-79wyxedn	102	68	terms	term	NOUN
cord-121428-79wyxedn	102	69	of	of	ADP
cord-121428-79wyxedn	102	70	the	the	DET
cord-121428-79wyxedn	102	71	interaction	interaction	NOUN
cord-121428-79wyxedn	102	72	operators	operator	NOUN
cord-121428-79wyxedn	102	73	.	.	PUNCT
cord-121428-79wyxedn	103	1	for	for	ADP
cord-121428-79wyxedn	103	2	a	a	DET
cord-121428-79wyxedn	103	3	given	give	VERB
cord-121428-79wyxedn	103	4	density	density	NOUN
cord-121428-79wyxedn	103	5	f	f	PROPN
cord-121428-79wyxedn	103	6	j	j	PROPN
cord-121428-79wyxedn	103	7	(	(	PUNCT
cord-121428-79wyxedn	103	8	x	x	PROPN
cord-121428-79wyxedn	103	9	,	,	PROPN
cord-121428-79wyxedn	103	10	t	t	PROPN
cord-121428-79wyxedn	103	11	)	)	PUNCT
cord-121428-79wyxedn	103	12	,	,	PUNCT
cord-121428-79wyxedn	103	13	j	j	PROPN
cord-121428-79wyxedn	103	14	∈	∈	PROPN
cord-121428-79wyxedn	103	15	{	{	PUNCT
cord-121428-79wyxedn	103	16	s	s	PROPN
cord-121428-79wyxedn	103	17	,	,	PUNCT
cord-121428-79wyxedn	103	18	i	i	INTJ
cord-121428-79wyxedn	103	19	,	,	PUNCT
cord-121428-79wyxedn	103	20	r	r	NOUN
cord-121428-79wyxedn	103	21	}	}	PUNCT
cord-121428-79wyxedn	103	22	,	,	PUNCT
cord-121428-79wyxedn	103	23	the	the	DET
cord-121428-79wyxedn	103	24	action	action	NOUN
cord-121428-79wyxedn	103	25	on	on	ADP
cord-121428-79wyxedn	103	26	the	the	DET
cord-121428-79wyxedn	103	27	density	density	NOUN
cord-121428-79wyxedn	103	28	of	of	ADP
cord-121428-79wyxedn	103	29	the	the	DET
cord-121428-79wyxedn	103	30	interaction	interaction	NOUN
cord-121428-79wyxedn	103	31	operators	operator	NOUN
cord-121428-79wyxedn	103	32	q	q	X
cord-121428-79wyxedn	103	33	j	j	PROPN
cord-121428-79wyxedn	103	34	(	(	PUNCT
cord-121428-79wyxedn	103	35	f	f	PROPN
cord-121428-79wyxedn	103	36	)	)	PUNCT
cord-121428-79wyxedn	103	37	(	(	PUNCT
cord-121428-79wyxedn	103	38	x	x	PROPN
cord-121428-79wyxedn	103	39	,	,	PUNCT
cord-121428-79wyxedn	103	40	t	t	NOUN
cord-121428-79wyxedn	103	41	)	)	PUNCT
cord-121428-79wyxedn	103	42	in	in	ADP
cord-121428-79wyxedn	103	43	equations	equation	NOUN
cord-121428-79wyxedn	103	44	(	(	PUNCT
cord-121428-79wyxedn	103	45	2	2	NUM
cord-121428-79wyxedn	103	46	)	)	PUNCT
cord-121428-79wyxedn	103	47	is	be	AUX
cord-121428-79wyxedn	103	48	fruitfully	fruitfully	ADV
cord-121428-79wyxedn	103	49	written	write	VERB
cord-121428-79wyxedn	103	50	in	in	ADP
cord-121428-79wyxedn	103	51	weak	weak	ADJ
cord-121428-79wyxedn	103	52	form	form	NOUN
cord-121428-79wyxedn	103	53	.	.	PUNCT
cord-121428-79wyxedn	104	1	the	the	DET
cord-121428-79wyxedn	104	2	weak	weak	ADJ
cord-121428-79wyxedn	104	3	form	form	NOUN
cord-121428-79wyxedn	104	4	corresponds	correspond	VERB
cord-121428-79wyxedn	104	5	to	to	PART
cord-121428-79wyxedn	104	6	say	say	VERB
cord-121428-79wyxedn	104	7	that	that	SCONJ
cord-121428-79wyxedn	104	8	for	for	ADP
cord-121428-79wyxedn	104	9	all	all	DET
cord-121428-79wyxedn	104	10	smooth	smooth	ADJ
cord-121428-79wyxedn	104	11	functions	function	NOUN
cord-121428-79wyxedn	104	12	ϕ(x	ϕ(x	PROPN
cord-121428-79wyxedn	104	13	)	)	PUNCT
cord-121428-79wyxedn	105	1	(	(	PUNCT
cord-121428-79wyxedn	105	2	the	the	DET
cord-121428-79wyxedn	105	3	observable	observable	ADJ
cord-121428-79wyxedn	105	4	quantities	quantity	NOUN
cord-121428-79wyxedn	105	5	)	)	PUNCT
cord-121428-79wyxedn	106	1	the	the	DET
cord-121428-79wyxedn	106	2	action	action	NOUN
cord-121428-79wyxedn	106	3	of	of	ADP
cord-121428-79wyxedn	106	4	the	the	DET
cord-121428-79wyxedn	106	5	operator	operator	NOUN
cord-121428-79wyxedn	106	6	q	q	PROPN
cord-121428-79wyxedn	106	7	j	j	PROPN
cord-121428-79wyxedn	106	8	on	on	ADP
cord-121428-79wyxedn	106	9	ϕ	ϕ	PROPN
cord-121428-79wyxedn	106	10	is	be	AUX
cord-121428-79wyxedn	106	11	given	give	VERB
cord-121428-79wyxedn	106	12	by	by	ADP
cord-121428-79wyxedn	106	13	here	here	ADV
cord-121428-79wyxedn	106	14	expectation	expectation	NOUN
cord-121428-79wyxedn	106	15	·	·	PUNCT
cord-121428-79wyxedn	106	16	takes	take	VERB
cord-121428-79wyxedn	106	17	into	into	ADP
cord-121428-79wyxedn	106	18	account	account	NOUN
cord-121428-79wyxedn	106	19	the	the	DET
cord-121428-79wyxedn	106	20	presence	presence	NOUN
cord-121428-79wyxedn	106	21	of	of	ADP
cord-121428-79wyxedn	106	22	the	the	DET
cord-121428-79wyxedn	106	23	random	random	ADJ
cord-121428-79wyxedn	106	24	parameter	parameter	NOUN
cord-121428-79wyxedn	106	25	η	η	NOUN
cord-121428-79wyxedn	106	26	in	in	ADP
cord-121428-79wyxedn	106	27	the	the	DET
cord-121428-79wyxedn	106	28	microscopic	microscopic	ADJ
cord-121428-79wyxedn	106	29	interaction	interaction	NOUN
cord-121428-79wyxedn	106	30	(	(	PUNCT
cord-121428-79wyxedn	106	31	5	5	NUM
cord-121428-79wyxedn	106	32	)	)	PUNCT
cord-121428-79wyxedn	106	33	.	.	PUNCT
cord-121428-79wyxedn	107	1	the	the	DET
cord-121428-79wyxedn	107	2	function	function	NOUN
cord-121428-79wyxedn	107	3	b(x	b(x	VERB
cord-121428-79wyxedn	107	4	)	)	PUNCT
cord-121428-79wyxedn	107	5	measures	measure	VERB
cord-121428-79wyxedn	107	6	the	the	DET
cord-121428-79wyxedn	107	7	interaction	interaction	NOUN
cord-121428-79wyxedn	107	8	frequency	frequency	NOUN
cord-121428-79wyxedn	107	9	.	.	PUNCT
cord-121428-79wyxedn	108	1	the	the	DET
cord-121428-79wyxedn	108	2	right	right	ADJ
cord-121428-79wyxedn	108	3	-	-	PUNCT
cord-121428-79wyxedn	108	4	hand	hand	NOUN
cord-121428-79wyxedn	108	5	side	side	NOUN
cord-121428-79wyxedn	108	6	of	of	ADP
cord-121428-79wyxedn	108	7	equation	equation	NOUN
cord-121428-79wyxedn	108	8	(	(	PUNCT
cord-121428-79wyxedn	108	9	8)	8)	NUM
cord-121428-79wyxedn	108	10	quantifies	quantifie	NOUN
cord-121428-79wyxedn	108	11	the	the	DET
cord-121428-79wyxedn	108	12	variation	variation	NOUN
cord-121428-79wyxedn	108	13	in	in	ADP
cord-121428-79wyxedn	108	14	density	density	NOUN
cord-121428-79wyxedn	108	15	,	,	PUNCT
cord-121428-79wyxedn	108	16	at	at	ADP
cord-121428-79wyxedn	108	17	a	a	DET
cord-121428-79wyxedn	108	18	given	give	VERB
cord-121428-79wyxedn	108	19	time	time	NOUN
cord-121428-79wyxedn	108	20	t	t	PROPN
cord-121428-79wyxedn	108	21	>	>	X
cord-121428-79wyxedn	108	22	0	0	NUM
cord-121428-79wyxedn	108	23	,	,	PUNCT
cord-121428-79wyxedn	108	24	of	of	ADP
cord-121428-79wyxedn	108	25	individuals	individual	NOUN
cord-121428-79wyxedn	108	26	in	in	ADP
cord-121428-79wyxedn	108	27	the	the	DET
cord-121428-79wyxedn	108	28	class	class	NOUN
cord-121428-79wyxedn	108	29	j	j	PROPN
cord-121428-79wyxedn	108	30	∈	∈	PROPN
cord-121428-79wyxedn	108	31	{	{	PUNCT
cord-121428-79wyxedn	108	32	s	s	PROPN
cord-121428-79wyxedn	108	33	,	,	PUNCT
cord-121428-79wyxedn	108	34	i	i	INTJ
cord-121428-79wyxedn	108	35	,	,	PUNCT
cord-121428-79wyxedn	108	36	r	r	NOUN
cord-121428-79wyxedn	108	37	}	}	PUNCT
cord-121428-79wyxedn	108	38	that	that	PRON
cord-121428-79wyxedn	108	39	modify	modify	VERB
cord-121428-79wyxedn	108	40	their	their	PRON
cord-121428-79wyxedn	108	41	value	value	NOUN
cord-121428-79wyxedn	108	42	from	from	ADP
cord-121428-79wyxedn	108	43	x	x	NOUN
cord-121428-79wyxedn	108	44	to	to	ADP
cord-121428-79wyxedn	108	45	x	x	X
cord-121428-79wyxedn	108	46	*	*	PUNCT
cord-121428-79wyxedn	108	47	j	j	NOUN
cord-121428-79wyxedn	108	48	(	(	PUNCT
cord-121428-79wyxedn	108	49	loss	loss	NOUN
cord-121428-79wyxedn	108	50	term	term	NOUN
cord-121428-79wyxedn	108	51	with	with	ADP
cord-121428-79wyxedn	108	52	negative	negative	ADJ
cord-121428-79wyxedn	108	53	sign	sign	NOUN
cord-121428-79wyxedn	108	54	)	)	PUNCT
cord-121428-79wyxedn	108	55	and	and	CCONJ
cord-121428-79wyxedn	108	56	agents	agent	NOUN
cord-121428-79wyxedn	108	57	that	that	PRON
cord-121428-79wyxedn	108	58	change	change	VERB
cord-121428-79wyxedn	108	59	their	their	PRON
cord-121428-79wyxedn	108	60	value	value	NOUN
cord-121428-79wyxedn	108	61	from	from	ADP
cord-121428-79wyxedn	108	62	x	x	PUNCT
cord-121428-79wyxedn	108	63	*	*	PUNCT
cord-121428-79wyxedn	108	64	j	j	NOUN
cord-121428-79wyxedn	108	65	to	to	PART
cord-121428-79wyxedn	108	66	x	x	X
cord-121428-79wyxedn	108	67	(	(	PUNCT
cord-121428-79wyxedn	108	68	gain	gain	VERB
cord-121428-79wyxedn	108	69	term	term	NOUN
cord-121428-79wyxedn	108	70	with	with	ADP
cord-121428-79wyxedn	108	71	positive	positive	ADJ
cord-121428-79wyxedn	108	72	sign	sign	NOUN
cord-121428-79wyxedn	108	73	)	)	PUNCT
cord-121428-79wyxedn	108	74	.	.	PUNCT
cord-121428-79wyxedn	109	1	in	in	ADP
cord-121428-79wyxedn	109	2	[	[	X
cord-121428-79wyxedn	109	3	14	14	NUM
cord-121428-79wyxedn	109	4	]	]	PUNCT
cord-121428-79wyxedn	109	5	,	,	PUNCT
cord-121428-79wyxedn	109	6	the	the	DET
cord-121428-79wyxedn	109	7	interaction	interaction	NOUN
cord-121428-79wyxedn	109	8	kernel	kernel	NOUN
cord-121428-79wyxedn	109	9	b(x	b(x	VERB
cord-121428-79wyxedn	109	10	)	)	PUNCT
cord-121428-79wyxedn	109	11	has	have	AUX
cord-121428-79wyxedn	109	12	been	be	AUX
cord-121428-79wyxedn	109	13	assumed	assume	VERB
cord-121428-79wyxedn	109	14	constant	constant	ADJ
cord-121428-79wyxedn	109	15	.	.	PUNCT
cord-121428-79wyxedn	110	1	this	this	DET
cord-121428-79wyxedn	110	2	simplifying	simplify	VERB
cord-121428-79wyxedn	110	3	hypothesis	hypothesis	NOUN
cord-121428-79wyxedn	110	4	,	,	PUNCT
cord-121428-79wyxedn	110	5	which	which	PRON
cord-121428-79wyxedn	110	6	is	be	AUX
cord-121428-79wyxedn	110	7	not	not	PART
cord-121428-79wyxedn	110	8	always	always	ADV
cord-121428-79wyxedn	110	9	well	well	ADV
cord-121428-79wyxedn	110	10	justified	justified	ADJ
cord-121428-79wyxedn	110	11	from	from	ADP
cord-121428-79wyxedn	110	12	a	a	DET
cord-121428-79wyxedn	110	13	modeling	modeling	NOUN
cord-121428-79wyxedn	110	14	point	point	NOUN
cord-121428-79wyxedn	110	15	of	of	ADP
cord-121428-79wyxedn	110	16	view	view	NOUN
cord-121428-79wyxedn	110	17	,	,	PUNCT
cord-121428-79wyxedn	110	18	is	be	AUX
cord-121428-79wyxedn	110	19	the	the	DET
cord-121428-79wyxedn	110	20	common	common	ADJ
cord-121428-79wyxedn	110	21	assumption	assumption	NOUN
cord-121428-79wyxedn	110	22	in	in	ADP
cord-121428-79wyxedn	110	23	the	the	DET
cord-121428-79wyxedn	110	24	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	110	25	-	-	PUNCT
cord-121428-79wyxedn	110	26	type	type	NOUN
cord-121428-79wyxedn	110	27	description	description	NOUN
cord-121428-79wyxedn	110	28	of	of	ADP
cord-121428-79wyxedn	110	29	socio	socio	NOUN
cord-121428-79wyxedn	110	30	-	-	ADJ
cord-121428-79wyxedn	110	31	economic	economic	ADJ
cord-121428-79wyxedn	110	32	phenomena	phenomenon	NOUN
cord-121428-79wyxedn	110	33	[	[	PUNCT
cord-121428-79wyxedn	110	34	21	21	NUM
cord-121428-79wyxedn	110	35	,	,	PUNCT
cord-121428-79wyxedn	110	36	40	40	NUM
cord-121428-79wyxedn	110	37	]	]	PUNCT
cord-121428-79wyxedn	110	38	.	.	PUNCT
cord-121428-79wyxedn	111	1	in	in	ADP
cord-121428-79wyxedn	111	2	particular	particular	ADJ
cord-121428-79wyxedn	111	3	,	,	PUNCT
cord-121428-79wyxedn	111	4	the	the	DET
cord-121428-79wyxedn	111	5	role	role	NOUN
cord-121428-79wyxedn	111	6	of	of	ADP
cord-121428-79wyxedn	111	7	a	a	DET
cord-121428-79wyxedn	111	8	non	non	ADJ
cord-121428-79wyxedn	111	9	constant	constant	ADJ
cord-121428-79wyxedn	111	10	collision	collision	NOUN
cord-121428-79wyxedn	111	11	kernel	kernel	NOUN
cord-121428-79wyxedn	111	12	b(x	b(x	VERB
cord-121428-79wyxedn	111	13	)	)	PUNCT
cord-121428-79wyxedn	111	14	has	have	AUX
cord-121428-79wyxedn	111	15	been	be	AUX
cord-121428-79wyxedn	111	16	analyzed	analyze	VERB
cord-121428-79wyxedn	111	17	in	in	ADP
cord-121428-79wyxedn	111	18	its	its	PRON
cord-121428-79wyxedn	111	19	critical	critical	ADJ
cord-121428-79wyxedn	111	20	aspects	aspect	NOUN
cord-121428-79wyxedn	111	21	in	in	ADP
cord-121428-79wyxedn	111	22	[	[	X
cord-121428-79wyxedn	111	23	22	22	NUM
cord-121428-79wyxedn	111	24	]	]	PUNCT
cord-121428-79wyxedn	111	25	.	.	PUNCT
cord-121428-79wyxedn	112	1	following	follow	VERB
cord-121428-79wyxedn	112	2	the	the	DET
cord-121428-79wyxedn	112	3	approach	approach	NOUN
cord-121428-79wyxedn	112	4	in	in	ADP
cord-121428-79wyxedn	112	5	[	[	X
cord-121428-79wyxedn	112	6	22	22	NUM
cord-121428-79wyxedn	112	7	,	,	PUNCT
cord-121428-79wyxedn	112	8	46	46	NUM
cord-121428-79wyxedn	112	9	]	]	PUNCT
cord-121428-79wyxedn	112	10	,	,	PUNCT
cord-121428-79wyxedn	112	11	we	we	PRON
cord-121428-79wyxedn	112	12	express	express	VERB
cord-121428-79wyxedn	112	13	the	the	DET
cord-121428-79wyxedn	112	14	mathematical	mathematical	ADJ
cord-121428-79wyxedn	112	15	form	form	NOUN
cord-121428-79wyxedn	112	16	of	of	ADP
cord-121428-79wyxedn	112	17	the	the	DET
cord-121428-79wyxedn	112	18	kernel	kernel	NOUN
cord-121428-79wyxedn	112	19	b(x	b(x	VERB
cord-121428-79wyxedn	112	20	)	)	PUNCT
cord-121428-79wyxedn	112	21	by	by	ADP
cord-121428-79wyxedn	112	22	assuming	assume	VERB
cord-121428-79wyxedn	112	23	that	that	SCONJ
cord-121428-79wyxedn	112	24	the	the	DET
cord-121428-79wyxedn	112	25	frequency	frequency	NOUN
cord-121428-79wyxedn	112	26	of	of	ADP
cord-121428-79wyxedn	112	27	changes	change	NOUN
cord-121428-79wyxedn	112	28	which	which	PRON
cord-121428-79wyxedn	112	29	leads	lead	VERB
cord-121428-79wyxedn	112	30	to	to	PART
cord-121428-79wyxedn	112	31	increase	increase	VERB
cord-121428-79wyxedn	112	32	the	the	DET
cord-121428-79wyxedn	112	33	number	number	NOUN
cord-121428-79wyxedn	112	34	x	x	NOUN
cord-121428-79wyxedn	112	35	of	of	ADP
cord-121428-79wyxedn	112	36	social	social	ADJ
cord-121428-79wyxedn	112	37	contacts	contact	NOUN
cord-121428-79wyxedn	112	38	is	be	AUX
cord-121428-79wyxedn	112	39	inversely	inversely	ADV
cord-121428-79wyxedn	112	40	proportional	proportional	ADJ
cord-121428-79wyxedn	112	41	to	to	ADP
cord-121428-79wyxedn	112	42	x.	x.	PROPN
cord-121428-79wyxedn	112	43	hence	hence	ADV
cord-121428-79wyxedn	112	44	,	,	PUNCT
cord-121428-79wyxedn	112	45	we	we	PRON
cord-121428-79wyxedn	112	46	consider	consider	VERB
cord-121428-79wyxedn	112	47	collision	collision	NOUN
cord-121428-79wyxedn	112	48	kernels	kernel	NOUN
cord-121428-79wyxedn	112	49	in	in	ADP
cord-121428-79wyxedn	112	50	the	the	DET
cord-121428-79wyxedn	112	51	form	form	NOUN
cord-121428-79wyxedn	112	52	for	for	ADP
cord-121428-79wyxedn	112	53	some	some	DET
cord-121428-79wyxedn	112	54	constants	constant	NOUN
cord-121428-79wyxedn	112	55	a	a	DET
cord-121428-79wyxedn	112	56	>	>	X
cord-121428-79wyxedn	112	57	0	0	NUM
cord-121428-79wyxedn	112	58	and	and	CCONJ
cord-121428-79wyxedn	112	59	b	b	X
cord-121428-79wyxedn	112	60	>	>	PUNCT
cord-121428-79wyxedn	112	61	0	0	NUM
cord-121428-79wyxedn	112	62	.	.	PUNCT
cord-121428-79wyxedn	113	1	this	this	DET
cord-121428-79wyxedn	113	2	kernel	kernel	NOUN
cord-121428-79wyxedn	113	3	assigns	assign	VERB
cord-121428-79wyxedn	113	4	a	a	DET
cord-121428-79wyxedn	113	5	low	low	ADJ
cord-121428-79wyxedn	113	6	probability	probability	NOUN
cord-121428-79wyxedn	113	7	to	to	ADP
cord-121428-79wyxedn	113	8	interactions	interaction	NOUN
cord-121428-79wyxedn	113	9	in	in	ADP
cord-121428-79wyxedn	113	10	which	which	PRON
cord-121428-79wyxedn	113	11	individuals	individual	NOUN
cord-121428-79wyxedn	113	12	have	have	VERB
cord-121428-79wyxedn	113	13	already	already	ADV
cord-121428-79wyxedn	113	14	a	a	DET
cord-121428-79wyxedn	113	15	large	large	ADJ
cord-121428-79wyxedn	113	16	number	number	NOUN
cord-121428-79wyxedn	113	17	of	of	ADP
cord-121428-79wyxedn	113	18	contacts	contact	NOUN
cord-121428-79wyxedn	113	19	and	and	CCONJ
cord-121428-79wyxedn	113	20	assigns	assign	VERB
cord-121428-79wyxedn	113	21	a	a	DET
cord-121428-79wyxedn	113	22	high	high	ADJ
cord-121428-79wyxedn	113	23	probability	probability	NOUN
cord-121428-79wyxedn	113	24	to	to	ADP
cord-121428-79wyxedn	113	25	interactions	interaction	NOUN
cord-121428-79wyxedn	113	26	in	in	ADP
cord-121428-79wyxedn	113	27	which	which	PRON
cord-121428-79wyxedn	113	28	the	the	DET
cord-121428-79wyxedn	113	29	value	value	NOUN
cord-121428-79wyxedn	113	30	of	of	ADP
cord-121428-79wyxedn	113	31	the	the	DET
cord-121428-79wyxedn	113	32	variable	variable	NOUN
cord-121428-79wyxedn	113	33	x	x	PROPN
cord-121428-79wyxedn	113	34	is	be	AUX
cord-121428-79wyxedn	113	35	small	small	ADJ
cord-121428-79wyxedn	113	36	.	.	PUNCT
cord-121428-79wyxedn	114	1	the	the	DET
cord-121428-79wyxedn	114	2	constants	constant	NOUN
cord-121428-79wyxedn	114	3	a	a	PRON
cord-121428-79wyxedn	114	4	and	and	CCONJ
cord-121428-79wyxedn	114	5	b	b	PROPN
cord-121428-79wyxedn	114	6	can	can	AUX
cord-121428-79wyxedn	114	7	be	be	AUX
cord-121428-79wyxedn	114	8	suitably	suitably	ADV
cord-121428-79wyxedn	114	9	chosen	choose	VERB
cord-121428-79wyxedn	114	10	by	by	ADP
cord-121428-79wyxedn	114	11	resorting	resort	VERB
cord-121428-79wyxedn	114	12	to	to	ADP
cord-121428-79wyxedn	114	13	the	the	DET
cord-121428-79wyxedn	114	14	following	follow	VERB
cord-121428-79wyxedn	114	15	argument	argument	NOUN
cord-121428-79wyxedn	114	16	[	[	X
cord-121428-79wyxedn	114	17	46	46	NUM
cord-121428-79wyxedn	114	18	]	]	PUNCT
cord-121428-79wyxedn	114	19	.	.	PUNCT
cord-121428-79wyxedn	115	1	for	for	ADP
cord-121428-79wyxedn	115	2	small	small	ADJ
cord-121428-79wyxedn	115	3	values	value	NOUN
cord-121428-79wyxedn	115	4	of	of	ADP
cord-121428-79wyxedn	115	5	the	the	DET
cord-121428-79wyxedn	115	6	x	x	SYM
cord-121428-79wyxedn	115	7	variable	variable	NOUN
cord-121428-79wyxedn	115	8	,	,	PUNCT
cord-121428-79wyxedn	115	9	the	the	DET
cord-121428-79wyxedn	115	10	rate	rate	NOUN
cord-121428-79wyxedn	115	11	of	of	ADP
cord-121428-79wyxedn	115	12	variation	variation	NOUN
cord-121428-79wyxedn	115	13	of	of	ADP
cord-121428-79wyxedn	115	14	the	the	DET
cord-121428-79wyxedn	115	15	value	value	NOUN
cord-121428-79wyxedn	115	16	function	function	NOUN
cord-121428-79wyxedn	115	17	(	(	PUNCT
cord-121428-79wyxedn	115	18	6	6	NUM
cord-121428-79wyxedn	115	19	)	)	PUNCT
cord-121428-79wyxedn	115	20	is	be	AUX
cord-121428-79wyxedn	115	21	given	give	VERB
cord-121428-79wyxedn	115	22	by	by	ADP
cord-121428-79wyxedn	115	23	hence	hence	ADV
cord-121428-79wyxedn	115	24	,	,	PUNCT
cord-121428-79wyxedn	115	25	for	for	ADP
cord-121428-79wyxedn	115	26	small	small	ADJ
cord-121428-79wyxedn	115	27	values	value	NOUN
cord-121428-79wyxedn	115	28	of	of	ADP
cord-121428-79wyxedn	115	29	x	x	INTJ
cord-121428-79wyxedn	115	30	,	,	PUNCT
cord-121428-79wyxedn	115	31	the	the	DET
cord-121428-79wyxedn	115	32	mean	mean	ADJ
cord-121428-79wyxedn	115	33	individual	individual	ADJ
cord-121428-79wyxedn	115	34	rate	rate	NOUN
cord-121428-79wyxedn	115	35	predicted	predict	VERB
cord-121428-79wyxedn	115	36	by	by	ADP
cord-121428-79wyxedn	115	37	the	the	DET
cord-121428-79wyxedn	115	38	value	value	NOUN
cord-121428-79wyxedn	115	39	function	function	NOUN
cord-121428-79wyxedn	115	40	is	be	AUX
cord-121428-79wyxedn	115	41	proportional	proportional	ADJ
cord-121428-79wyxedn	115	42	to	to	ADP
cord-121428-79wyxedn	115	43	x	x	SYM
cord-121428-79wyxedn	115	44	δ−1	δ−1	PROPN
cord-121428-79wyxedn	115	45	.	.	PUNCT
cord-121428-79wyxedn	116	1	then	then	ADV
cord-121428-79wyxedn	116	2	,	,	PUNCT
cord-121428-79wyxedn	116	3	the	the	DET
cord-121428-79wyxedn	116	4	choice	choice	NOUN
cord-121428-79wyxedn	116	5	b	b	PROPN
cord-121428-79wyxedn	116	6	=	=	PRON
cord-121428-79wyxedn	116	7	δ	δ	PROPN
cord-121428-79wyxedn	116	8	would	would	AUX
cord-121428-79wyxedn	116	9	correspond	correspond	VERB
cord-121428-79wyxedn	116	10	to	to	ADP
cord-121428-79wyxedn	116	11	a	a	DET
cord-121428-79wyxedn	116	12	collective	collective	ADJ
cord-121428-79wyxedn	116	13	rate	rate	NOUN
cord-121428-79wyxedn	116	14	of	of	ADP
cord-121428-79wyxedn	116	15	variation	variation	NOUN
cord-121428-79wyxedn	116	16	of	of	ADP
cord-121428-79wyxedn	116	17	the	the	DET
cord-121428-79wyxedn	116	18	system	system	NOUN
cord-121428-79wyxedn	116	19	independent	independent	ADJ
cord-121428-79wyxedn	116	20	of	of	ADP
cord-121428-79wyxedn	116	21	the	the	DET
cord-121428-79wyxedn	116	22	parameter	parameter	NOUN
cord-121428-79wyxedn	116	23	δ	δ	PROPN
cord-121428-79wyxedn	116	24	which	which	PRON
cord-121428-79wyxedn	116	25	instead	instead	ADV
cord-121428-79wyxedn	116	26	characterizes	characterize	VERB
cord-121428-79wyxedn	116	27	the	the	DET
cord-121428-79wyxedn	116	28	individual	individual	ADJ
cord-121428-79wyxedn	116	29	rate	rate	NOUN
cord-121428-79wyxedn	116	30	of	of	ADP
cord-121428-79wyxedn	116	31	variation	variation	NOUN
cord-121428-79wyxedn	116	32	of	of	ADP
cord-121428-79wyxedn	116	33	the	the	DET
cord-121428-79wyxedn	116	34	value	value	NOUN
cord-121428-79wyxedn	116	35	function	function	NOUN
cord-121428-79wyxedn	116	36	.	.	PUNCT
cord-121428-79wyxedn	117	1	a	a	DET
cord-121428-79wyxedn	117	2	second	second	ADJ
cord-121428-79wyxedn	117	3	important	important	ADJ
cord-121428-79wyxedn	117	4	fact	fact	NOUN
cord-121428-79wyxedn	117	5	is	be	AUX
cord-121428-79wyxedn	117	6	that	that	SCONJ
cord-121428-79wyxedn	117	7	the	the	DET
cord-121428-79wyxedn	117	8	individual	individual	ADJ
cord-121428-79wyxedn	117	9	rate	rate	NOUN
cord-121428-79wyxedn	117	10	of	of	ADP
cord-121428-79wyxedn	117	11	variation	variation	NOUN
cord-121428-79wyxedn	117	12	(	(	PUNCT
cord-121428-79wyxedn	117	13	9	9	NUM
cord-121428-79wyxedn	117	14	)	)	PUNCT
cord-121428-79wyxedn	117	15	depends	depend	VERB
cord-121428-79wyxedn	117	16	linearly	linearly	ADV
cord-121428-79wyxedn	117	17	on	on	ADP
cord-121428-79wyxedn	117	18	the	the	DET
cord-121428-79wyxedn	117	19	positive	positive	ADJ
cord-121428-79wyxedn	117	20	constant	constant	NOUN
cord-121428-79wyxedn	117	21	,	,	PUNCT
cord-121428-79wyxedn	117	22	and	and	CCONJ
cord-121428-79wyxedn	117	23	it	it	PRON
cord-121428-79wyxedn	117	24	is	be	AUX
cord-121428-79wyxedn	117	25	such	such	ADJ
cord-121428-79wyxedn	117	26	that	that	SCONJ
cord-121428-79wyxedn	117	27	the	the	DET
cord-121428-79wyxedn	117	28	intensity	intensity	NOUN
cord-121428-79wyxedn	117	29	of	of	ADP
cord-121428-79wyxedn	117	30	the	the	DET
cord-121428-79wyxedn	117	31	variation	variation	NOUN
cord-121428-79wyxedn	117	32	decreases	decrease	VERB
cord-121428-79wyxedn	117	33	as	as	ADP
cord-121428-79wyxedn	117	34	decreases	decrease	NOUN
cord-121428-79wyxedn	117	35	.	.	PUNCT
cord-121428-79wyxedn	118	1	then	then	ADV
cord-121428-79wyxedn	118	2	,	,	PUNCT
cord-121428-79wyxedn	118	3	the	the	DET
cord-121428-79wyxedn	118	4	choice	choice	NOUN
cord-121428-79wyxedn	118	5	a	a	DET
cord-121428-79wyxedn	118	6	=	=	NOUN
cord-121428-79wyxedn	118	7	1	1	NUM
cord-121428-79wyxedn	118	8	,	,	PUNCT
cord-121428-79wyxedn	118	9	is	be	AUX
cord-121428-79wyxedn	118	10	such	such	ADJ
cord-121428-79wyxedn	118	11	that	that	SCONJ
cord-121428-79wyxedn	118	12	the	the	DET
cord-121428-79wyxedn	118	13	collective	collective	ADJ
cord-121428-79wyxedn	118	14	rate	rate	NOUN
cord-121428-79wyxedn	118	15	of	of	ADP
cord-121428-79wyxedn	118	16	variation	variation	NOUN
cord-121428-79wyxedn	118	17	remains	remains	AUX
cord-121428-79wyxedn	118	18	bounded	bound	VERB
cord-121428-79wyxedn	118	19	even	even	ADV
cord-121428-79wyxedn	118	20	in	in	ADP
cord-121428-79wyxedn	118	21	presence	presence	NOUN
cord-121428-79wyxedn	118	22	of	of	ADP
cord-121428-79wyxedn	118	23	very	very	ADV
cord-121428-79wyxedn	118	24	small	small	ADJ
cord-121428-79wyxedn	118	25	values	value	NOUN
cord-121428-79wyxedn	118	26	of	of	ADP
cord-121428-79wyxedn	118	27	the	the	DET
cord-121428-79wyxedn	118	28	constant	constant	ADJ
cord-121428-79wyxedn	118	29	.	.	PUNCT
cord-121428-79wyxedn	119	1	with	with	ADP
cord-121428-79wyxedn	119	2	these	these	DET
cord-121428-79wyxedn	119	3	assumptions	assumption	NOUN
cord-121428-79wyxedn	119	4	,	,	PUNCT
cord-121428-79wyxedn	119	5	the	the	DET
cord-121428-79wyxedn	119	6	weak	weak	ADJ
cord-121428-79wyxedn	119	7	form	form	NOUN
cord-121428-79wyxedn	119	8	of	of	ADP
cord-121428-79wyxedn	119	9	the	the	DET
cord-121428-79wyxedn	119	10	interaction	interaction	NOUN
cord-121428-79wyxedn	119	11	integrals	integral	NOUN
cord-121428-79wyxedn	119	12	in	in	ADP
cord-121428-79wyxedn	119	13	(	(	PUNCT
cord-121428-79wyxedn	119	14	8)	8)	NUM
cord-121428-79wyxedn	119	15	,	,	PUNCT
cord-121428-79wyxedn	119	16	is	be	AUX
cord-121428-79wyxedn	119	17	given	give	VERB
cord-121428-79wyxedn	119	18	by	by	ADP
cord-121428-79wyxedn	119	19	note	note	NOUN
cord-121428-79wyxedn	119	20	that	that	SCONJ
cord-121428-79wyxedn	119	21	,	,	PUNCT
cord-121428-79wyxedn	119	22	in	in	ADP
cord-121428-79wyxedn	119	23	consequence	consequence	NOUN
cord-121428-79wyxedn	119	24	of	of	ADP
cord-121428-79wyxedn	119	25	the	the	DET
cord-121428-79wyxedn	119	26	choice	choice	NOUN
cord-121428-79wyxedn	119	27	made	make	VERB
cord-121428-79wyxedn	119	28	on	on	ADP
cord-121428-79wyxedn	119	29	the	the	DET
cord-121428-79wyxedn	119	30	interaction	interaction	NOUN
cord-121428-79wyxedn	119	31	kernel	kernel	PROPN
cord-121428-79wyxedn	119	32	b	b	PROPN
cord-121428-79wyxedn	119	33	(	(	PUNCT
cord-121428-79wyxedn	119	34	·	·	PUNCT
cord-121428-79wyxedn	119	35	)	)	PUNCT
cord-121428-79wyxedn	119	36	,	,	PUNCT
cord-121428-79wyxedn	119	37	the	the	DET
cord-121428-79wyxedn	119	38	evolution	evolution	NOUN
cord-121428-79wyxedn	119	39	of	of	ADP
cord-121428-79wyxedn	119	40	the	the	DET
cord-121428-79wyxedn	119	41	density	density	NOUN
cord-121428-79wyxedn	119	42	f	f	PROPN
cord-121428-79wyxedn	119	43	(	(	PUNCT
cord-121428-79wyxedn	119	44	x	x	PROPN
cord-121428-79wyxedn	119	45	,	,	PUNCT
cord-121428-79wyxedn	119	46	t	t	NOUN
cord-121428-79wyxedn	119	47	)	)	PUNCT
cord-121428-79wyxedn	119	48	is	be	AUX
cord-121428-79wyxedn	119	49	tuned	tune	VERB
cord-121428-79wyxedn	119	50	by	by	ADP
cord-121428-79wyxedn	119	51	the	the	DET
cord-121428-79wyxedn	119	52	parameter	parameter	NOUN
cord-121428-79wyxedn	119	53	,	,	PUNCT
cord-121428-79wyxedn	119	54	which	which	PRON
cord-121428-79wyxedn	119	55	characterizes	characterize	VERB
cord-121428-79wyxedn	119	56	both	both	DET
cord-121428-79wyxedn	119	57	the	the	DET
cord-121428-79wyxedn	119	58	intensity	intensity	NOUN
cord-121428-79wyxedn	119	59	of	of	ADP
cord-121428-79wyxedn	119	60	interactions	interaction	NOUN
cord-121428-79wyxedn	119	61	and	and	CCONJ
cord-121428-79wyxedn	119	62	the	the	DET
cord-121428-79wyxedn	119	63	interaction	interaction	NOUN
cord-121428-79wyxedn	119	64	frequency	frequency	NOUN
cord-121428-79wyxedn	119	65	.	.	PUNCT
cord-121428-79wyxedn	120	1	this	this	DET
cord-121428-79wyxedn	120	2	choice	choice	NOUN
cord-121428-79wyxedn	120	3	implies	imply	VERB
cord-121428-79wyxedn	120	4	consequently	consequently	ADV
cord-121428-79wyxedn	120	5	,	,	PUNCT
cord-121428-79wyxedn	120	6	the	the	DET
cord-121428-79wyxedn	120	7	actions	action	NOUN
cord-121428-79wyxedn	120	8	of	of	ADP
cord-121428-79wyxedn	120	9	both	both	CCONJ
cord-121428-79wyxedn	120	10	the	the	DET
cord-121428-79wyxedn	120	11	value	value	NOUN
cord-121428-79wyxedn	120	12	function	function	NOUN
cord-121428-79wyxedn	120	13	and	and	CCONJ
cord-121428-79wyxedn	120	14	the	the	DET
cord-121428-79wyxedn	120	15	random	random	ADJ
cord-121428-79wyxedn	120	16	part	part	NOUN
cord-121428-79wyxedn	120	17	of	of	ADP
cord-121428-79wyxedn	120	18	the	the	DET
cord-121428-79wyxedn	120	19	elementary	elementary	ADJ
cord-121428-79wyxedn	120	20	interaction	interaction	NOUN
cord-121428-79wyxedn	120	21	in	in	ADP
cord-121428-79wyxedn	120	22	(	(	PUNCT
cord-121428-79wyxedn	120	23	5	5	NUM
cord-121428-79wyxedn	120	24	)	)	PUNCT
cord-121428-79wyxedn	120	25	survive	survive	VERB
cord-121428-79wyxedn	120	26	in	in	ADP
cord-121428-79wyxedn	120	27	the	the	DET
cord-121428-79wyxedn	120	28	limit	limit	NOUN
cord-121428-79wyxedn	120	29	→	→	SYM
cord-121428-79wyxedn	120	30	0	0	PUNCT
cord-121428-79wyxedn	120	31	.	.	PUNCT
cord-121428-79wyxedn	121	1	remark	remark	PROPN
cord-121428-79wyxedn	121	2	3	3	NUM
cord-121428-79wyxedn	121	3	.	.	PUNCT
cord-121428-79wyxedn	122	1	the	the	DET
cord-121428-79wyxedn	122	2	approach	approach	NOUN
cord-121428-79wyxedn	122	3	just	just	ADV
cord-121428-79wyxedn	122	4	described	describe	VERB
cord-121428-79wyxedn	122	5	can	can	AUX
cord-121428-79wyxedn	122	6	be	be	AUX
cord-121428-79wyxedn	122	7	easily	easily	ADV
cord-121428-79wyxedn	122	8	adapted	adapt	VERB
cord-121428-79wyxedn	122	9	to	to	ADP
cord-121428-79wyxedn	122	10	other	other	ADJ
cord-121428-79wyxedn	122	11	compartmental	compartmental	NOUN
cord-121428-79wyxedn	122	12	models	model	NOUN
cord-121428-79wyxedn	122	13	in	in	ADP
cord-121428-79wyxedn	122	14	epidemiology	epidemiology	NOUN
cord-121428-79wyxedn	122	15	like	like	ADP
cord-121428-79wyxedn	122	16	seir	seir	NOUN
cord-121428-79wyxedn	122	17	,	,	PUNCT
cord-121428-79wyxedn	122	18	mseir	mseir	PROPN
cord-121428-79wyxedn	123	1	[	[	PUNCT
cord-121428-79wyxedn	123	2	6	6	NUM
cord-121428-79wyxedn	123	3	,	,	PUNCT
cord-121428-79wyxedn	123	4	13	13	NUM
cord-121428-79wyxedn	123	5	,	,	PUNCT
cord-121428-79wyxedn	123	6	29	29	NUM
cord-121428-79wyxedn	123	7	]	]	PUNCT
cord-121428-79wyxedn	123	8	and/or	and/or	CCONJ
cord-121428-79wyxedn	123	9	sidharte	sidharte	PROPN
cord-121428-79wyxedn	124	1	[	[	PUNCT
cord-121428-79wyxedn	124	2	25	25	NUM
cord-121428-79wyxedn	124	3	,	,	PUNCT
cord-121428-79wyxedn	124	4	26	26	NUM
cord-121428-79wyxedn	124	5	]	]	PUNCT
cord-121428-79wyxedn	124	6	.	.	PUNCT
cord-121428-79wyxedn	125	1	for	for	ADP
cord-121428-79wyxedn	125	2	all	all	DET
cord-121428-79wyxedn	125	3	these	these	DET
cord-121428-79wyxedn	125	4	cited	cite	VERB
cord-121428-79wyxedn	125	5	models	model	NOUN
cord-121428-79wyxedn	125	6	,	,	PUNCT
cord-121428-79wyxedn	125	7	the	the	DET
cord-121428-79wyxedn	125	8	fundamental	fundamental	ADJ
cord-121428-79wyxedn	125	9	aspects	aspect	NOUN
cord-121428-79wyxedn	125	10	of	of	ADP
cord-121428-79wyxedn	125	11	the	the	DET
cord-121428-79wyxedn	125	12	interaction	interaction	NOUN
cord-121428-79wyxedn	125	13	between	between	ADP
cord-121428-79wyxedn	125	14	social	social	ADJ
cord-121428-79wyxedn	125	15	contacts	contact	NOUN
cord-121428-79wyxedn	125	16	and	and	CCONJ
cord-121428-79wyxedn	125	17	the	the	DET
cord-121428-79wyxedn	125	18	spread	spread	NOUN
cord-121428-79wyxedn	125	19	of	of	ADP
cord-121428-79wyxedn	125	20	the	the	DET
cord-121428-79wyxedn	125	21	infectious	infectious	ADJ
cord-121428-79wyxedn	125	22	disease	disease	NOUN
cord-121428-79wyxedn	125	23	we	we	PRON
cord-121428-79wyxedn	125	24	expect	expect	VERB
cord-121428-79wyxedn	125	25	not	not	PART
cord-121428-79wyxedn	125	26	to	to	PART
cord-121428-79wyxedn	125	27	change	change	VERB
cord-121428-79wyxedn	125	28	in	in	ADP
cord-121428-79wyxedn	125	29	a	a	DET
cord-121428-79wyxedn	125	30	substantial	substantial	ADJ
cord-121428-79wyxedn	125	31	way	way	NOUN
cord-121428-79wyxedn	125	32	.	.	PUNCT
cord-121428-79wyxedn	126	1	the	the	DET
cord-121428-79wyxedn	126	2	limit	limit	NOUN
cord-121428-79wyxedn	126	3	procedure	procedure	NOUN
cord-121428-79wyxedn	126	4	induced	induce	VERB
cord-121428-79wyxedn	126	5	by	by	ADP
cord-121428-79wyxedn	126	6	(	(	PUNCT
cord-121428-79wyxedn	126	7	11	11	NUM
cord-121428-79wyxedn	126	8	)	)	PUNCT
cord-121428-79wyxedn	126	9	corresponds	correspond	VERB
cord-121428-79wyxedn	126	10	to	to	ADP
cord-121428-79wyxedn	126	11	the	the	DET
cord-121428-79wyxedn	126	12	situation	situation	NOUN
cord-121428-79wyxedn	126	13	in	in	ADP
cord-121428-79wyxedn	126	14	which	which	PRON
cord-121428-79wyxedn	126	15	elementary	elementary	ADJ
cord-121428-79wyxedn	126	16	interactions	interaction	NOUN
cord-121428-79wyxedn	126	17	(	(	PUNCT
cord-121428-79wyxedn	126	18	5	5	NUM
cord-121428-79wyxedn	126	19	)	)	PUNCT
cord-121428-79wyxedn	126	20	which	which	PRON
cord-121428-79wyxedn	126	21	produce	produce	VERB
cord-121428-79wyxedn	126	22	an	an	DET
cord-121428-79wyxedn	126	23	extremely	extremely	ADV
cord-121428-79wyxedn	126	24	small	small	ADJ
cord-121428-79wyxedn	126	25	modification	modification	NOUN
cord-121428-79wyxedn	126	26	of	of	ADP
cord-121428-79wyxedn	126	27	the	the	DET
cord-121428-79wyxedn	126	28	number	number	NOUN
cord-121428-79wyxedn	126	29	of	of	ADP
cord-121428-79wyxedn	126	30	social	social	ADJ
cord-121428-79wyxedn	126	31	contacts	contact	NOUN
cord-121428-79wyxedn	126	32	(	(	PUNCT
cord-121428-79wyxedn	126	33	quasi	quasi	ADJ
cord-121428-79wyxedn	126	34	-	-	ADJ
cord-121428-79wyxedn	126	35	invariant	invariant	ADJ
cord-121428-79wyxedn	126	36	interactions	interaction	NOUN
cord-121428-79wyxedn	126	37	)	)	PUNCT
cord-121428-79wyxedn	126	38	are	be	AUX
cord-121428-79wyxedn	126	39	prevalent	prevalent	ADJ
cord-121428-79wyxedn	126	40	in	in	ADP
cord-121428-79wyxedn	126	41	the	the	DET
cord-121428-79wyxedn	126	42	dynamics	dynamic	NOUN
cord-121428-79wyxedn	126	43	.	.	PUNCT
cord-121428-79wyxedn	127	1	at	at	ADP
cord-121428-79wyxedn	127	2	the	the	DET
cord-121428-79wyxedn	127	3	same	same	ADJ
cord-121428-79wyxedn	127	4	time	time	NOUN
cord-121428-79wyxedn	127	5	,	,	PUNCT
cord-121428-79wyxedn	127	6	the	the	DET
cord-121428-79wyxedn	127	7	frequency	frequency	NOUN
cord-121428-79wyxedn	127	8	of	of	ADP
cord-121428-79wyxedn	127	9	these	these	DET
cord-121428-79wyxedn	127	10	interactions	interaction	NOUN
cord-121428-79wyxedn	127	11	is	be	AUX
cord-121428-79wyxedn	127	12	suitably	suitably	ADV
cord-121428-79wyxedn	127	13	increased	increase	VERB
cord-121428-79wyxedn	127	14	to	to	PART
cord-121428-79wyxedn	127	15	still	still	ADV
cord-121428-79wyxedn	127	16	permitting	permit	VERB
cord-121428-79wyxedn	127	17	to	to	PART
cord-121428-79wyxedn	127	18	see	see	VERB
cord-121428-79wyxedn	127	19	their	their	PRON
cord-121428-79wyxedn	127	20	effect	effect	NOUN
cord-121428-79wyxedn	127	21	.	.	PUNCT
cord-121428-79wyxedn	128	1	in	in	ADP
cord-121428-79wyxedn	128	2	kinetic	kinetic	NOUN
cord-121428-79wyxedn	128	3	theory	theory	NOUN
cord-121428-79wyxedn	128	4	,	,	PUNCT
cord-121428-79wyxedn	128	5	this	this	PRON
cord-121428-79wyxedn	128	6	is	be	AUX
cord-121428-79wyxedn	128	7	a	a	DET
cord-121428-79wyxedn	128	8	well	well	ADV
cord-121428-79wyxedn	128	9	-	-	PUNCT
cord-121428-79wyxedn	128	10	known	know	VERB
cord-121428-79wyxedn	128	11	procedure	procedure	NOUN
cord-121428-79wyxedn	128	12	with	with	ADP
cord-121428-79wyxedn	128	13	the	the	DET
cord-121428-79wyxedn	128	14	name	name	NOUN
cord-121428-79wyxedn	128	15	of	of	ADP
cord-121428-79wyxedn	128	16	grazing	grazing	NOUN
cord-121428-79wyxedn	128	17	limit	limit	NOUN
cord-121428-79wyxedn	128	18	.	.	PUNCT
cord-121428-79wyxedn	129	1	we	we	PRON
cord-121428-79wyxedn	129	2	point	point	VERB
cord-121428-79wyxedn	129	3	the	the	DET
cord-121428-79wyxedn	129	4	interested	interested	ADJ
cord-121428-79wyxedn	129	5	reader	reader	NOUN
cord-121428-79wyxedn	129	6	to	to	ADP
cord-121428-79wyxedn	129	7	[	[	SYM
cord-121428-79wyxedn	129	8	11	11	NUM
cord-121428-79wyxedn	129	9	,	,	PUNCT
cord-121428-79wyxedn	129	10	20	20	NUM
cord-121428-79wyxedn	129	11	,	,	PUNCT
cord-121428-79wyxedn	129	12	40	40	NUM
cord-121428-79wyxedn	129	13	]	]	PUNCT
cord-121428-79wyxedn	129	14	for	for	ADP
cord-121428-79wyxedn	129	15	further	further	ADJ
cord-121428-79wyxedn	129	16	details	detail	NOUN
cord-121428-79wyxedn	129	17	.	.	PUNCT
cord-121428-79wyxedn	130	1	expanding	expand	VERB
cord-121428-79wyxedn	130	2	the	the	DET
cord-121428-79wyxedn	130	3	difference	difference	NOUN
cord-121428-79wyxedn	130	4	ϕ(x	ϕ(x	NOUN
cord-121428-79wyxedn	130	5	*	*	PUNCT
cord-121428-79wyxedn	130	6	j	j	NOUN
cord-121428-79wyxedn	130	7	)	)	PUNCT
cord-121428-79wyxedn	131	1	−	−	PROPN
cord-121428-79wyxedn	131	2	ϕ(x	ϕ(x	PROPN
cord-121428-79wyxedn	131	3	)	)	PUNCT
cord-121428-79wyxedn	131	4	in	in	ADP
cord-121428-79wyxedn	131	5	taylor	taylor	PROPN
cord-121428-79wyxedn	131	6	series	series	PROPN
cord-121428-79wyxedn	131	7	,	,	PUNCT
cord-121428-79wyxedn	131	8	and	and	CCONJ
cord-121428-79wyxedn	131	9	then	then	ADV
cord-121428-79wyxedn	131	10	passing	pass	VERB
cord-121428-79wyxedn	131	11	to	to	ADP
cord-121428-79wyxedn	131	12	the	the	DET
cord-121428-79wyxedn	131	13	limit	limit	NOUN
cord-121428-79wyxedn	131	14	into	into	ADP
cord-121428-79wyxedn	131	15	the	the	DET
cord-121428-79wyxedn	131	16	right	right	ADJ
cord-121428-79wyxedn	131	17	-	-	PUNCT
cord-121428-79wyxedn	131	18	hand	hand	NOUN
cord-121428-79wyxedn	131	19	side	side	NOUN
cord-121428-79wyxedn	131	20	of	of	ADP
cord-121428-79wyxedn	131	21	(	(	PUNCT
cord-121428-79wyxedn	131	22	10	10	NUM
cord-121428-79wyxedn	131	23	)	)	PUNCT
cord-121428-79wyxedn	131	24	,	,	PUNCT
cord-121428-79wyxedn	131	25	one	one	NOUN
cord-121428-79wyxedn	131	26	obtains	obtain	VERB
cord-121428-79wyxedn	131	27	,	,	PUNCT
cord-121428-79wyxedn	131	28	for	for	ADP
cord-121428-79wyxedn	131	29	j	j	PROPN
cord-121428-79wyxedn	131	30	∈	∈	PROPN
cord-121428-79wyxedn	131	31	{	{	PUNCT
cord-121428-79wyxedn	131	32	s	s	PROPN
cord-121428-79wyxedn	131	33	,	,	PUNCT
cord-121428-79wyxedn	131	34	i	i	INTJ
cord-121428-79wyxedn	131	35	,	,	PUNCT
cord-121428-79wyxedn	131	36	r	r	NOUN
cord-121428-79wyxedn	131	37	}	}	PUNCT
cord-121428-79wyxedn	131	38	if	if	SCONJ
cord-121428-79wyxedn	131	39	we	we	PRON
cord-121428-79wyxedn	131	40	impose	impose	VERB
cord-121428-79wyxedn	131	41	at	at	ADP
cord-121428-79wyxedn	131	42	x	x	SYM
cord-121428-79wyxedn	131	43	=	=	X
cord-121428-79wyxedn	131	44	0	0	NUM
cord-121428-79wyxedn	131	45	the	the	DET
cord-121428-79wyxedn	131	46	boundary	boundary	ADJ
cord-121428-79wyxedn	131	47	conditions	condition	NOUN
cord-121428-79wyxedn	131	48	and	and	CCONJ
cord-121428-79wyxedn	131	49	a	a	DET
cord-121428-79wyxedn	131	50	suitable	suitable	ADJ
cord-121428-79wyxedn	131	51	rapid	rapid	ADJ
cord-121428-79wyxedn	131	52	decay	decay	NOUN
cord-121428-79wyxedn	131	53	of	of	ADP
cord-121428-79wyxedn	131	54	the	the	DET
cord-121428-79wyxedn	131	55	densities	density	NOUN
cord-121428-79wyxedn	131	56	f	f	PROPN
cord-121428-79wyxedn	131	57	j	j	PROPN
cord-121428-79wyxedn	131	58	(	(	PUNCT
cord-121428-79wyxedn	131	59	x	x	PROPN
cord-121428-79wyxedn	131	60	,	,	PROPN
cord-121428-79wyxedn	131	61	t	t	NOUN
cord-121428-79wyxedn	131	62	)	)	PUNCT
cord-121428-79wyxedn	131	63	at	at	ADP
cord-121428-79wyxedn	131	64	x	x	X
cord-121428-79wyxedn	131	65	=	=	X
cord-121428-79wyxedn	131	66	+	+	NOUN
cord-121428-79wyxedn	131	67	∞	∞	NUM
cord-121428-79wyxedn	131	68	[	[	PUNCT
cord-121428-79wyxedn	131	69	21	21	NUM
cord-121428-79wyxedn	131	70	]	]	PUNCT
cord-121428-79wyxedn	131	71	,	,	PUNCT
cord-121428-79wyxedn	131	72	the	the	DET
cord-121428-79wyxedn	131	73	limit	limit	NOUN
cord-121428-79wyxedn	131	74	operators	operator	NOUN
cord-121428-79wyxedn	131	75	q	q	NOUN
cord-121428-79wyxedn	131	76	δ	δ	PROPN
cord-121428-79wyxedn	131	77	j	j	PROPN
cord-121428-79wyxedn	131	78	,	,	PUNCT
cord-121428-79wyxedn	131	79	j	j	PROPN
cord-121428-79wyxedn	131	80	∈	∈	PROPN
cord-121428-79wyxedn	131	81	{	{	PUNCT
cord-121428-79wyxedn	131	82	s	s	PROPN
cord-121428-79wyxedn	131	83	,	,	PUNCT
cord-121428-79wyxedn	131	84	i	i	INTJ
cord-121428-79wyxedn	131	85	,	,	PUNCT
cord-121428-79wyxedn	131	86	r	r	NOUN
cord-121428-79wyxedn	131	87	}	}	PUNCT
cord-121428-79wyxedn	131	88	,	,	PUNCT
cord-121428-79wyxedn	131	89	coincide	coincide	VERB
cord-121428-79wyxedn	131	90	with	with	ADP
cord-121428-79wyxedn	131	91	the	the	DET
cord-121428-79wyxedn	131	92	fokker	fokker	NOUN
cord-121428-79wyxedn	131	93	-	-	PUNCT
cord-121428-79wyxedn	131	94	planck	planck	NOUN
cord-121428-79wyxedn	131	95	type	type	NOUN
cord-121428-79wyxedn	131	96	operators	operator	NOUN
cord-121428-79wyxedn	131	97	characterized	characterize	VERB
cord-121428-79wyxedn	131	98	by	by	ADP
cord-121428-79wyxedn	131	99	a	a	DET
cord-121428-79wyxedn	131	100	variable	variable	ADJ
cord-121428-79wyxedn	131	101	diffusion	diffusion	NOUN
cord-121428-79wyxedn	131	102	coefficient	coefficient	NOUN
cord-121428-79wyxedn	131	103	and	and	CCONJ
cord-121428-79wyxedn	131	104	a	a	DET
cord-121428-79wyxedn	131	105	time	time	NOUN
cord-121428-79wyxedn	131	106	-	-	PUNCT
cord-121428-79wyxedn	131	107	dependent	dependent	ADJ
cord-121428-79wyxedn	131	108	drift	drift	NOUN
cord-121428-79wyxedn	131	109	term	term	NOUN
cord-121428-79wyxedn	131	110	.	.	PUNCT
cord-121428-79wyxedn	132	1	indeed	indeed	ADV
cord-121428-79wyxedn	132	2	,	,	PUNCT
cord-121428-79wyxedn	132	3	in	in	ADP
cord-121428-79wyxedn	132	4	view	view	NOUN
cord-121428-79wyxedn	132	5	of	of	ADP
cord-121428-79wyxedn	132	6	remark	remark	NOUN
cord-121428-79wyxedn	132	7	2	2	NUM
cord-121428-79wyxedn	132	8	we	we	PRON
cord-121428-79wyxedn	132	9	havex	havex	PROPN
cord-121428-79wyxedn	132	10	j	j	PROPN
cord-121428-79wyxedn	132	11	=	=	PROPN
cord-121428-79wyxedn	132	12	x	x	X
cord-121428-79wyxedn	132	13	j	j	PROPN
cord-121428-79wyxedn	132	14	(	(	PUNCT
cord-121428-79wyxedn	132	15	t	t	PROPN
cord-121428-79wyxedn	132	16	)	)	PUNCT
cord-121428-79wyxedn	132	17	.	.	PUNCT
cord-121428-79wyxedn	133	1	thus	thus	ADV
cord-121428-79wyxedn	133	2	,	,	PUNCT
cord-121428-79wyxedn	133	3	system	system	NOUN
cord-121428-79wyxedn	133	4	(	(	PUNCT
cord-121428-79wyxedn	133	5	2	2	NUM
cord-121428-79wyxedn	133	6	)	)	PUNCT
cord-121428-79wyxedn	133	7	,	,	PUNCT
cord-121428-79wyxedn	133	8	in	in	ADP
cord-121428-79wyxedn	133	9	the	the	DET
cord-121428-79wyxedn	133	10	limit	limit	NOUN
cord-121428-79wyxedn	133	11	→	→	SYM
cord-121428-79wyxedn	133	12	0	0	PUNCT
cord-121428-79wyxedn	133	13	corresponds	correspond	VERB
cord-121428-79wyxedn	133	14	to	to	ADP
cord-121428-79wyxedn	133	15	the	the	DET
cord-121428-79wyxedn	133	16	following	follow	VERB
cord-121428-79wyxedn	133	17	fokker	fokker	NOUN
cord-121428-79wyxedn	133	18	-	-	PUNCT
cord-121428-79wyxedn	133	19	planck	planck	NOUN
cord-121428-79wyxedn	133	20	system	system	NOUN
cord-121428-79wyxedn	133	21	in	in	ADP
cord-121428-79wyxedn	133	22	strong	strong	ADJ
cord-121428-79wyxedn	133	23	form	form	NOUN
cord-121428-79wyxedn	133	24	the	the	DET
cord-121428-79wyxedn	133	25	fokker	fokker	NOUN
cord-121428-79wyxedn	133	26	-	-	PUNCT
cord-121428-79wyxedn	133	27	planck	planck	NOUN
cord-121428-79wyxedn	133	28	system	system	NOUN
cord-121428-79wyxedn	133	29	(	(	PUNCT
cord-121428-79wyxedn	133	30	14	14	NUM
cord-121428-79wyxedn	133	31	)	)	PUNCT
cord-121428-79wyxedn	133	32	is	be	AUX
cord-121428-79wyxedn	133	33	complemented	complement	VERB
cord-121428-79wyxedn	133	34	with	with	ADP
cord-121428-79wyxedn	133	35	the	the	DET
cord-121428-79wyxedn	133	36	boundary	boundary	ADJ
cord-121428-79wyxedn	133	37	conditions	condition	NOUN
cord-121428-79wyxedn	133	38	(	(	PUNCT
cord-121428-79wyxedn	133	39	12	12	NUM
cord-121428-79wyxedn	133	40	)	)	PUNCT
cord-121428-79wyxedn	133	41	at	at	ADP
cord-121428-79wyxedn	133	42	x	x	X
cord-121428-79wyxedn	133	43	=	=	X
cord-121428-79wyxedn	133	44	0	0	NUM
cord-121428-79wyxedn	133	45	.	.	PUNCT
cord-121428-79wyxedn	134	1	clearly	clearly	ADV
cord-121428-79wyxedn	134	2	,	,	PUNCT
cord-121428-79wyxedn	134	3	the	the	DET
cord-121428-79wyxedn	134	4	steady	steady	ADJ
cord-121428-79wyxedn	134	5	distributions	distribution	NOUN
cord-121428-79wyxedn	134	6	satisfy	satisfy	VERB
cord-121428-79wyxedn	134	7	the	the	DET
cord-121428-79wyxedn	134	8	ordinary	ordinary	ADJ
cord-121428-79wyxedn	134	9	differential	differential	ADJ
cord-121428-79wyxedn	134	10	equations	equation	NOUN
cord-121428-79wyxedn	134	11	corresponding	correspond	VERB
cord-121428-79wyxedn	134	12	to	to	ADP
cord-121428-79wyxedn	134	13	equations	equation	NOUN
cord-121428-79wyxedn	134	14	(	(	PUNCT
cord-121428-79wyxedn	134	15	14	14	NUM
cord-121428-79wyxedn	134	16	)	)	PUNCT
cord-121428-79wyxedn	134	17	with	with	ADP
cord-121428-79wyxedn	134	18	time	time	NOUN
cord-121428-79wyxedn	134	19	derivatives	derivative	NOUN
cord-121428-79wyxedn	134	20	set	set	VERB
cord-121428-79wyxedn	134	21	equal	equal	ADJ
cord-121428-79wyxedn	134	22	to	to	ADP
cord-121428-79wyxedn	134	23	zero	zero	NUM
cord-121428-79wyxedn	134	24	.	.	PUNCT
cord-121428-79wyxedn	135	1	it	it	PRON
cord-121428-79wyxedn	135	2	is	be	AUX
cord-121428-79wyxedn	135	3	interesting	interesting	ADJ
cord-121428-79wyxedn	135	4	to	to	PART
cord-121428-79wyxedn	135	5	remark	remark	VERB
cord-121428-79wyxedn	135	6	that	that	SCONJ
cord-121428-79wyxedn	135	7	the	the	DET
cord-121428-79wyxedn	135	8	explicit	explicit	ADJ
cord-121428-79wyxedn	135	9	form	form	NOUN
cord-121428-79wyxedn	135	10	of	of	ADP
cord-121428-79wyxedn	135	11	the	the	DET
cord-121428-79wyxedn	135	12	equilibria	equilibria	NOUN
cord-121428-79wyxedn	135	13	is	be	AUX
cord-121428-79wyxedn	135	14	easily	easily	ADV
cord-121428-79wyxedn	135	15	obtained	obtain	VERB
cord-121428-79wyxedn	135	16	when	when	SCONJ
cord-121428-79wyxedn	135	17	both	both	DET
cord-121428-79wyxedn	135	18	β	β	PROPN
cord-121428-79wyxedn	135	19	and	and	CCONJ
cord-121428-79wyxedn	135	20	γ	γ	NOUN
cord-121428-79wyxedn	135	21	are	be	AUX
cord-121428-79wyxedn	135	22	set	set	VERB
cord-121428-79wyxedn	135	23	equal	equal	ADJ
cord-121428-79wyxedn	135	24	to	to	ADP
cord-121428-79wyxedn	135	25	zero	zero	NUM
cord-121428-79wyxedn	135	26	,	,	PUNCT
cord-121428-79wyxedn	135	27	and	and	CCONJ
cord-121428-79wyxedn	135	28	the	the	DET
cord-121428-79wyxedn	135	29	contact	contact	NOUN
cord-121428-79wyxedn	135	30	function	function	NOUN
cord-121428-79wyxedn	135	31	κ(x	κ(x	PROPN
cord-121428-79wyxedn	135	32	,	,	PUNCT
cord-121428-79wyxedn	135	33	y	y	PROPN
cord-121428-79wyxedn	135	34	)	)	PUNCT
cord-121428-79wyxedn	135	35	=	=	NOUN
cord-121428-79wyxedn	135	36	0	0	NUM
cord-121428-79wyxedn	135	37	,	,	PUNCT
cord-121428-79wyxedn	135	38	so	so	SCONJ
cord-121428-79wyxedn	135	39	that	that	SCONJ
cord-121428-79wyxedn	135	40	the	the	DET
cord-121428-79wyxedn	135	41	incidence	incidence	NOUN
cord-121428-79wyxedn	135	42	rate	rate	NOUN
cord-121428-79wyxedn	135	43	k(f	k(f	PROPN
cord-121428-79wyxedn	135	44	s	s	PROPN
cord-121428-79wyxedn	135	45	,	,	PUNCT
cord-121428-79wyxedn	135	46	f	f	PROPN
cord-121428-79wyxedn	135	47	i	i	PROPN
cord-121428-79wyxedn	135	48	)	)	PUNCT
cord-121428-79wyxedn	135	49	vanishes	vanish	VERB
cord-121428-79wyxedn	135	50	.	.	PUNCT
cord-121428-79wyxedn	136	1	in	in	ADP
cord-121428-79wyxedn	136	2	this	this	DET
cord-121428-79wyxedn	136	3	simple	simple	ADJ
cord-121428-79wyxedn	136	4	case	case	NOUN
cord-121428-79wyxedn	136	5	,	,	PUNCT
cord-121428-79wyxedn	136	6	by	by	ADP
cord-121428-79wyxedn	136	7	assuming	assume	VERB
cord-121428-79wyxedn	136	8	that	that	SCONJ
cord-121428-79wyxedn	136	9	the	the	DET
cord-121428-79wyxedn	136	10	mean	mean	ADJ
cord-121428-79wyxedn	136	11	valuesx	valuesx	PROPN
cord-121428-79wyxedn	136	12	j	j	PROPN
cord-121428-79wyxedn	136	13	,	,	PUNCT
cord-121428-79wyxedn	136	14	j	j	PROPN
cord-121428-79wyxedn	136	15	∈	∈	PROPN
cord-121428-79wyxedn	136	16	{	{	PUNCT
cord-121428-79wyxedn	136	17	s	s	PROPN
cord-121428-79wyxedn	136	18	,	,	PUNCT
cord-121428-79wyxedn	136	19	i	i	NOUN
cord-121428-79wyxedn	136	20	,	,	PUNCT
cord-121428-79wyxedn	136	21	r	r	NOUN
cord-121428-79wyxedn	136	22	}	}	PUNCT
cord-121428-79wyxedn	136	23	are	be	AUX
cord-121428-79wyxedn	136	24	constant	constant	ADJ
cord-121428-79wyxedn	136	25	,	,	PUNCT
cord-121428-79wyxedn	136	26	and	and	CCONJ
cord-121428-79wyxedn	136	27	by	by	ADP
cord-121428-79wyxedn	136	28	setting	set	VERB
cord-121428-79wyxedn	136	29	ν	ν	PROPN
cord-121428-79wyxedn	136	30	=	=	NOUN
cord-121428-79wyxedn	136	31	µ/λ	µ/λ	PROPN
cord-121428-79wyxedn	136	32	,	,	PUNCT
cord-121428-79wyxedn	136	33	the	the	DET
cord-121428-79wyxedn	136	34	equilibria	equilibrium	NOUN
cord-121428-79wyxedn	136	35	are	be	AUX
cord-121428-79wyxedn	136	36	given	give	VERB
cord-121428-79wyxedn	136	37	by	by	ADP
cord-121428-79wyxedn	136	38	the	the	DET
cord-121428-79wyxedn	136	39	functions	function	NOUN
cord-121428-79wyxedn	136	40	j	j	PROPN
cord-121428-79wyxedn	136	41	∈	∈	PROPN
cord-121428-79wyxedn	136	42	{	{	PUNCT
cord-121428-79wyxedn	136	43	s	s	PROPN
cord-121428-79wyxedn	136	44	,	,	PUNCT
cord-121428-79wyxedn	136	45	i	i	INTJ
cord-121428-79wyxedn	136	46	,	,	PUNCT
cord-121428-79wyxedn	136	47	r	r	NOUN
cord-121428-79wyxedn	136	48	}	}	PUNCT
cord-121428-79wyxedn	136	49	.	.	PUNCT
cord-121428-79wyxedn	137	1	by	by	ADP
cord-121428-79wyxedn	137	2	fixing	fix	VERB
cord-121428-79wyxedn	137	3	the	the	DET
cord-121428-79wyxedn	137	4	mass	mass	NOUN
cord-121428-79wyxedn	137	5	of	of	ADP
cord-121428-79wyxedn	137	6	the	the	DET
cord-121428-79wyxedn	137	7	steady	steady	ADJ
cord-121428-79wyxedn	137	8	state	state	NOUN
cord-121428-79wyxedn	137	9	(	(	PUNCT
cord-121428-79wyxedn	137	10	15	15	NUM
cord-121428-79wyxedn	137	11	)	)	PUNCT
cord-121428-79wyxedn	137	12	equal	equal	ADJ
cord-121428-79wyxedn	137	13	to	to	ADP
cord-121428-79wyxedn	137	14	one	one	NUM
cord-121428-79wyxedn	137	15	,	,	PUNCT
cord-121428-79wyxedn	137	16	in	in	ADP
cord-121428-79wyxedn	137	17	agreement	agreement	NOUN
cord-121428-79wyxedn	137	18	with	with	ADP
cord-121428-79wyxedn	137	19	[	[	X
cord-121428-79wyxedn	137	20	3	3	NUM
cord-121428-79wyxedn	137	21	]	]	PUNCT
cord-121428-79wyxedn	137	22	,	,	PUNCT
cord-121428-79wyxedn	137	23	the	the	DET
cord-121428-79wyxedn	137	24	consequent	consequent	ADJ
cord-121428-79wyxedn	137	25	probability	probability	NOUN
cord-121428-79wyxedn	137	26	densities	density	NOUN
cord-121428-79wyxedn	137	27	are	be	AUX
cord-121428-79wyxedn	137	28	generalized	generalize	VERB
cord-121428-79wyxedn	137	29	gamma	gamma	PROPN
cord-121428-79wyxedn	137	30	f	f	PROPN
cord-121428-79wyxedn	137	31	∞	∞	PROPN
cord-121428-79wyxedn	137	32	(	(	PUNCT
cord-121428-79wyxedn	137	33	x	x	X
cord-121428-79wyxedn	137	34	;	;	PUNCT
cord-121428-79wyxedn	137	35	θ	θ	X
cord-121428-79wyxedn	137	36	,	,	PUNCT
cord-121428-79wyxedn	137	37	χ	χ	PROPN
cord-121428-79wyxedn	137	38	,	,	PUNCT
cord-121428-79wyxedn	137	39	δ	δ	PROPN
cord-121428-79wyxedn	137	40	)	)	PUNCT
cord-121428-79wyxedn	137	41	defined	define	VERB
cord-121428-79wyxedn	137	42	by	by	ADP
cord-121428-79wyxedn	137	43	[	[	SYM
cord-121428-79wyxedn	137	44	34	34	NUM
cord-121428-79wyxedn	137	45	,	,	PUNCT
cord-121428-79wyxedn	137	46	45	45	NUM
cord-121428-79wyxedn	137	47	]	]	PUNCT
cord-121428-79wyxedn	137	48	characterized	characterize	VERB
cord-121428-79wyxedn	137	49	in	in	ADP
cord-121428-79wyxedn	137	50	terms	term	NOUN
cord-121428-79wyxedn	137	51	of	of	ADP
cord-121428-79wyxedn	137	52	the	the	DET
cord-121428-79wyxedn	137	53	shape	shape	NOUN
cord-121428-79wyxedn	137	54	χ	χ	PROPN
cord-121428-79wyxedn	137	55	>	>	PUNCT
cord-121428-79wyxedn	137	56	0	0	NUM
cord-121428-79wyxedn	137	57	,	,	PUNCT
cord-121428-79wyxedn	137	58	the	the	DET
cord-121428-79wyxedn	137	59	scale	scale	NOUN
cord-121428-79wyxedn	137	60	parameter	parameter	NOUN
cord-121428-79wyxedn	137	61	θ	θ	NOUN
cord-121428-79wyxedn	137	62	>	>	PUNCT
cord-121428-79wyxedn	137	63	0	0	NUM
cord-121428-79wyxedn	137	64	,	,	PUNCT
cord-121428-79wyxedn	137	65	and	and	CCONJ
cord-121428-79wyxedn	137	66	the	the	DET
cord-121428-79wyxedn	137	67	exponent	exponent	NOUN
cord-121428-79wyxedn	137	68	δ	δ	PROPN
cord-121428-79wyxedn	137	69	>	>	PUNCT
cord-121428-79wyxedn	137	70	0	0	NUM
cord-121428-79wyxedn	138	1	that	that	SCONJ
cord-121428-79wyxedn	138	2	in	in	ADP
cord-121428-79wyxedn	138	3	the	the	DET
cord-121428-79wyxedn	138	4	present	present	ADJ
cord-121428-79wyxedn	138	5	situation	situation	NOUN
cord-121428-79wyxedn	138	6	are	be	AUX
cord-121428-79wyxedn	138	7	given	give	VERB
cord-121428-79wyxedn	138	8	by	by	ADP
cord-121428-79wyxedn	138	9	it	it	PRON
cord-121428-79wyxedn	138	10	has	have	AUX
cord-121428-79wyxedn	138	11	to	to	PART
cord-121428-79wyxedn	138	12	be	be	AUX
cord-121428-79wyxedn	138	13	remarked	remark	VERB
cord-121428-79wyxedn	138	14	that	that	SCONJ
cord-121428-79wyxedn	138	15	the	the	DET
cord-121428-79wyxedn	138	16	shape	shape	NOUN
cord-121428-79wyxedn	138	17	χ	χ	PROPN
cord-121428-79wyxedn	138	18	is	be	AUX
cord-121428-79wyxedn	138	19	positive	positive	ADJ
cord-121428-79wyxedn	138	20	,	,	PUNCT
cord-121428-79wyxedn	138	21	only	only	ADV
cord-121428-79wyxedn	138	22	if	if	SCONJ
cord-121428-79wyxedn	138	23	the	the	DET
cord-121428-79wyxedn	138	24	constant	constant	ADJ
cord-121428-79wyxedn	138	25	ν	ν	NOUN
cord-121428-79wyxedn	138	26	=	=	NOUN
cord-121428-79wyxedn	138	27	µ/λ	µ/λ	PROPN
cord-121428-79wyxedn	138	28	satisfies	satisfy	VERB
cord-121428-79wyxedn	138	29	the	the	DET
cord-121428-79wyxedn	138	30	bound	bind	VERB
cord-121428-79wyxedn	138	31	note	note	NOUN
cord-121428-79wyxedn	138	32	that	that	SCONJ
cord-121428-79wyxedn	138	33	condition	condition	NOUN
cord-121428-79wyxedn	138	34	(	(	PUNCT
cord-121428-79wyxedn	138	35	18	18	NUM
cord-121428-79wyxedn	138	36	)	)	PUNCT
cord-121428-79wyxedn	138	37	holds	hold	VERB
cord-121428-79wyxedn	138	38	,	,	PUNCT
cord-121428-79wyxedn	138	39	independently	independently	ADV
cord-121428-79wyxedn	138	40	of	of	ADP
cord-121428-79wyxedn	138	41	δ	δ	PROPN
cord-121428-79wyxedn	138	42	,	,	PUNCT
cord-121428-79wyxedn	138	43	when	when	SCONJ
cord-121428-79wyxedn	138	44	µ	µ	PROPN
cord-121428-79wyxedn	138	45	≥	≥	X
cord-121428-79wyxedn	138	46	4λ	4λ	NOUN
cord-121428-79wyxedn	138	47	,	,	PUNCT
cord-121428-79wyxedn	138	48	namely	namely	ADV
cord-121428-79wyxedn	138	49	when	when	SCONJ
cord-121428-79wyxedn	138	50	the	the	DET
cord-121428-79wyxedn	138	51	variance	variance	NOUN
cord-121428-79wyxedn	138	52	of	of	ADP
cord-121428-79wyxedn	138	53	the	the	DET
cord-121428-79wyxedn	138	54	random	random	ADJ
cord-121428-79wyxedn	138	55	variation	variation	NOUN
cord-121428-79wyxedn	138	56	in	in	ADP
cord-121428-79wyxedn	138	57	(	(	PUNCT
cord-121428-79wyxedn	138	58	5	5	NUM
cord-121428-79wyxedn	138	59	)	)	PUNCT
cord-121428-79wyxedn	138	60	is	be	AUX
cord-121428-79wyxedn	138	61	small	small	ADJ
cord-121428-79wyxedn	138	62	with	with	ADP
cord-121428-79wyxedn	138	63	respect	respect	NOUN
cord-121428-79wyxedn	138	64	to	to	ADP
cord-121428-79wyxedn	138	65	the	the	DET
cord-121428-79wyxedn	138	66	maximal	maximal	ADJ
cord-121428-79wyxedn	138	67	variation	variation	NOUN
cord-121428-79wyxedn	138	68	of	of	ADP
cord-121428-79wyxedn	138	69	the	the	DET
cord-121428-79wyxedn	138	70	value	value	NOUN
cord-121428-79wyxedn	138	71	function	function	NOUN
cord-121428-79wyxedn	138	72	.	.	PUNCT
cord-121428-79wyxedn	139	1	note	note	VERB
cord-121428-79wyxedn	139	2	moreover	moreover	ADV
cord-121428-79wyxedn	139	3	that	that	SCONJ
cord-121428-79wyxedn	139	4	for	for	ADP
cord-121428-79wyxedn	139	5	all	all	DET
cord-121428-79wyxedn	139	6	values	value	NOUN
cord-121428-79wyxedn	139	7	δ	δ	PROPN
cord-121428-79wyxedn	139	8	>	>	PUNCT
cord-121428-79wyxedn	139	9	0	0	NUM
cord-121428-79wyxedn	140	1	the	the	DET
cord-121428-79wyxedn	140	2	moments	moment	NOUN
cord-121428-79wyxedn	140	3	are	be	AUX
cord-121428-79wyxedn	140	4	expressed	express	VERB
cord-121428-79wyxedn	140	5	in	in	ADP
cord-121428-79wyxedn	140	6	terms	term	NOUN
cord-121428-79wyxedn	140	7	of	of	ADP
cord-121428-79wyxedn	140	8	the	the	DET
cord-121428-79wyxedn	140	9	parameters	parameter	NOUN
cord-121428-79wyxedn	140	10	denoting	denote	VERB
cord-121428-79wyxedn	140	11	respectively	respectively	ADV
cord-121428-79wyxedn	140	12	the	the	DET
cord-121428-79wyxedn	140	13	meanx	meanx	NOUN
cord-121428-79wyxedn	140	14	j	j	PROPN
cord-121428-79wyxedn	140	15	,	,	PUNCT
cord-121428-79wyxedn	140	16	j	j	PROPN
cord-121428-79wyxedn	140	17	∈	∈	PROPN
cord-121428-79wyxedn	140	18	{	{	PUNCT
cord-121428-79wyxedn	140	19	s	s	PROPN
cord-121428-79wyxedn	140	20	,	,	PUNCT
cord-121428-79wyxedn	140	21	i	i	INTJ
cord-121428-79wyxedn	140	22	,	,	PUNCT
cord-121428-79wyxedn	140	23	r	r	NOUN
cord-121428-79wyxedn	140	24	}	}	PUNCT
cord-121428-79wyxedn	140	25	,	,	PUNCT
cord-121428-79wyxedn	140	26	the	the	DET
cord-121428-79wyxedn	140	27	variance	variance	NOUN
cord-121428-79wyxedn	140	28	λ	λ	PROPN
cord-121428-79wyxedn	140	29	of	of	ADP
cord-121428-79wyxedn	140	30	the	the	DET
cord-121428-79wyxedn	140	31	random	random	ADJ
cord-121428-79wyxedn	140	32	effects	effect	NOUN
cord-121428-79wyxedn	140	33	and	and	CCONJ
cord-121428-79wyxedn	140	34	the	the	DET
cord-121428-79wyxedn	140	35	values	value	NOUN
cord-121428-79wyxedn	140	36	δ	δ	NOUN
cord-121428-79wyxedn	140	37	and	and	CCONJ
cord-121428-79wyxedn	140	38	µ	µ	NOUN
cord-121428-79wyxedn	140	39	characterizing	characterize	VERB
cord-121428-79wyxedn	140	40	the	the	DET
cord-121428-79wyxedn	140	41	value	value	NOUN
cord-121428-79wyxedn	140	42	function	function	NOUN
cord-121428-79wyxedn	140	43	φ	φ	NOUN
cord-121428-79wyxedn	140	44	δ	δ	PROPN
cord-121428-79wyxedn	140	45	defined	define	VERB
cord-121428-79wyxedn	140	46	in	in	ADP
cord-121428-79wyxedn	140	47	(	(	PUNCT
cord-121428-79wyxedn	140	48	6	6	NUM
cord-121428-79wyxedn	140	49	)	)	PUNCT
cord-121428-79wyxedn	140	50	.	.	PUNCT
cord-121428-79wyxedn	141	1	the	the	DET
cord-121428-79wyxedn	141	2	standard	standard	ADJ
cord-121428-79wyxedn	141	3	gamma	gamma	PROPN
cord-121428-79wyxedn	141	4	and	and	CCONJ
cord-121428-79wyxedn	141	5	weibull	weibull	NOUN
cord-121428-79wyxedn	141	6	distributions	distribution	NOUN
cord-121428-79wyxedn	141	7	are	be	AUX
cord-121428-79wyxedn	141	8	included	include	VERB
cord-121428-79wyxedn	141	9	in	in	ADP
cord-121428-79wyxedn	141	10	(	(	PUNCT
cord-121428-79wyxedn	141	11	15	15	NUM
cord-121428-79wyxedn	141	12	)	)	PUNCT
cord-121428-79wyxedn	141	13	,	,	PUNCT
cord-121428-79wyxedn	141	14	and	and	CCONJ
cord-121428-79wyxedn	141	15	are	be	AUX
cord-121428-79wyxedn	141	16	obtained	obtain	VERB
cord-121428-79wyxedn	141	17	by	by	ADP
cord-121428-79wyxedn	141	18	choosing	choose	VERB
cord-121428-79wyxedn	141	19	δ	δ	PROPN
cord-121428-79wyxedn	141	20	=	=	SYM
cord-121428-79wyxedn	141	21	1	1	NUM
cord-121428-79wyxedn	141	22	and	and	CCONJ
cord-121428-79wyxedn	141	23	,	,	PUNCT
cord-121428-79wyxedn	141	24	respectively	respectively	ADV
cord-121428-79wyxedn	141	25	δ	δ	PROPN
cord-121428-79wyxedn	141	26	=	=	PROPN
cord-121428-79wyxedn	141	27	χ	χ	X
cord-121428-79wyxedn	141	28	.	.	PUNCT
cord-121428-79wyxedn	142	1	in	in	ADP
cord-121428-79wyxedn	142	2	both	both	DET
cord-121428-79wyxedn	142	3	cases	case	NOUN
cord-121428-79wyxedn	142	4	,	,	PUNCT
cord-121428-79wyxedn	142	5	the	the	DET
cord-121428-79wyxedn	142	6	shape	shape	NOUN
cord-121428-79wyxedn	142	7	χ	χ	PROPN
cord-121428-79wyxedn	142	8	=	=	SYM
cord-121428-79wyxedn	142	9	ν	ν	NOUN
cord-121428-79wyxedn	142	10	,	,	PUNCT
cord-121428-79wyxedn	142	11	and	and	CCONJ
cord-121428-79wyxedn	142	12	no	no	DET
cord-121428-79wyxedn	142	13	conditions	condition	NOUN
cord-121428-79wyxedn	142	14	are	be	AUX
cord-121428-79wyxedn	142	15	required	require	VERB
cord-121428-79wyxedn	142	16	for	for	ADP
cord-121428-79wyxedn	142	17	its	its	PRON
cord-121428-79wyxedn	142	18	positivity	positivity	NOUN
cord-121428-79wyxedn	142	19	.	.	PUNCT
cord-121428-79wyxedn	143	1	the	the	DET
cord-121428-79wyxedn	143	2	fokker	fokker	NOUN
cord-121428-79wyxedn	143	3	-	-	PUNCT
cord-121428-79wyxedn	143	4	planck	planck	NOUN
cord-121428-79wyxedn	143	5	system	system	NOUN
cord-121428-79wyxedn	143	6	(	(	PUNCT
cord-121428-79wyxedn	143	7	14	14	NUM
cord-121428-79wyxedn	143	8	)	)	PUNCT
cord-121428-79wyxedn	143	9	contains	contain	VERB
cord-121428-79wyxedn	143	10	all	all	DET
cord-121428-79wyxedn	143	11	the	the	DET
cord-121428-79wyxedn	143	12	information	information	NOUN
cord-121428-79wyxedn	143	13	on	on	ADP
cord-121428-79wyxedn	143	14	the	the	DET
cord-121428-79wyxedn	143	15	spreading	spreading	NOUN
cord-121428-79wyxedn	143	16	of	of	ADP
cord-121428-79wyxedn	143	17	the	the	DET
cord-121428-79wyxedn	143	18	epidemic	epidemic	NOUN
cord-121428-79wyxedn	143	19	in	in	ADP
cord-121428-79wyxedn	143	20	terms	term	NOUN
cord-121428-79wyxedn	143	21	of	of	ADP
cord-121428-79wyxedn	143	22	the	the	DET
cord-121428-79wyxedn	143	23	distribution	distribution	NOUN
cord-121428-79wyxedn	143	24	of	of	ADP
cord-121428-79wyxedn	143	25	social	social	ADJ
cord-121428-79wyxedn	143	26	contacts	contact	NOUN
cord-121428-79wyxedn	143	27	.	.	PUNCT
cord-121428-79wyxedn	144	1	indeed	indeed	ADV
cord-121428-79wyxedn	144	2	,	,	PUNCT
cord-121428-79wyxedn	144	3	the	the	DET
cord-121428-79wyxedn	144	4	knowledge	knowledge	NOUN
cord-121428-79wyxedn	144	5	of	of	ADP
cord-121428-79wyxedn	144	6	the	the	DET
cord-121428-79wyxedn	144	7	densities	density	NOUN
cord-121428-79wyxedn	144	8	f	f	PROPN
cord-121428-79wyxedn	144	9	j	j	PROPN
cord-121428-79wyxedn	144	10	(	(	PUNCT
cord-121428-79wyxedn	144	11	x	x	PROPN
cord-121428-79wyxedn	144	12	,	,	PROPN
cord-121428-79wyxedn	144	13	t	t	PROPN
cord-121428-79wyxedn	144	14	)	)	PUNCT
cord-121428-79wyxedn	144	15	,	,	PUNCT
cord-121428-79wyxedn	144	16	j	j	PROPN
cord-121428-79wyxedn	144	17	∈	∈	PROPN
cord-121428-79wyxedn	144	18	{	{	PUNCT
cord-121428-79wyxedn	144	19	s	s	PROPN
cord-121428-79wyxedn	144	20	,	,	PUNCT
cord-121428-79wyxedn	144	21	i	i	INTJ
cord-121428-79wyxedn	144	22	,	,	PUNCT
cord-121428-79wyxedn	144	23	r	r	NOUN
cord-121428-79wyxedn	144	24	}	}	PUNCT
cord-121428-79wyxedn	144	25	,	,	PUNCT
cord-121428-79wyxedn	144	26	allows	allow	VERB
cord-121428-79wyxedn	144	27	to	to	PART
cord-121428-79wyxedn	144	28	evaluate	evaluate	VERB
cord-121428-79wyxedn	144	29	by	by	ADP
cord-121428-79wyxedn	144	30	integrations	integration	NOUN
cord-121428-79wyxedn	144	31	all	all	DET
cord-121428-79wyxedn	144	32	moments	moment	NOUN
cord-121428-79wyxedn	144	33	of	of	ADP
cord-121428-79wyxedn	144	34	interest	interest	NOUN
cord-121428-79wyxedn	144	35	.	.	PUNCT
cord-121428-79wyxedn	145	1	however	however	ADV
cord-121428-79wyxedn	145	2	,	,	PUNCT
cord-121428-79wyxedn	145	3	in	in	ADP
cord-121428-79wyxedn	145	4	reason	reason	NOUN
cord-121428-79wyxedn	145	5	of	of	ADP
cord-121428-79wyxedn	145	6	the	the	DET
cord-121428-79wyxedn	145	7	presence	presence	NOUN
cord-121428-79wyxedn	145	8	of	of	ADP
cord-121428-79wyxedn	145	9	the	the	DET
cord-121428-79wyxedn	145	10	incidence	incidence	NOUN
cord-121428-79wyxedn	145	11	rate	rate	NOUN
cord-121428-79wyxedn	145	12	k(f	k(f	PROPN
cord-121428-79wyxedn	145	13	s	s	PROPN
cord-121428-79wyxedn	145	14	,	,	PUNCT
cord-121428-79wyxedn	145	15	f	f	PROPN
cord-121428-79wyxedn	145	16	i	i	NOUN
cord-121428-79wyxedn	145	17	)	)	PUNCT
cord-121428-79wyxedn	145	18	,	,	PUNCT
cord-121428-79wyxedn	145	19	as	as	SCONJ
cord-121428-79wyxedn	145	20	given	give	VERB
cord-121428-79wyxedn	145	21	by	by	ADP
cord-121428-79wyxedn	145	22	(	(	PUNCT
cord-121428-79wyxedn	145	23	3	3	NUM
cord-121428-79wyxedn	145	24	)	)	PUNCT
cord-121428-79wyxedn	145	25	,	,	PUNCT
cord-121428-79wyxedn	145	26	the	the	DET
cord-121428-79wyxedn	145	27	time	time	NOUN
cord-121428-79wyxedn	145	28	evolution	evolution	NOUN
cord-121428-79wyxedn	145	29	of	of	ADP
cord-121428-79wyxedn	145	30	the	the	DET
cord-121428-79wyxedn	145	31	moments	moment	NOUN
cord-121428-79wyxedn	145	32	of	of	ADP
cord-121428-79wyxedn	145	33	the	the	DET
cord-121428-79wyxedn	145	34	distribution	distribution	NOUN
cord-121428-79wyxedn	145	35	functions	function	NOUN
cord-121428-79wyxedn	145	36	is	be	AUX
cord-121428-79wyxedn	145	37	not	not	PART
cord-121428-79wyxedn	145	38	explicitly	explicitly	ADV
cord-121428-79wyxedn	145	39	computable	computable	ADJ
cord-121428-79wyxedn	145	40	,	,	PUNCT
cord-121428-79wyxedn	145	41	since	since	SCONJ
cord-121428-79wyxedn	145	42	the	the	DET
cord-121428-79wyxedn	145	43	evolution	evolution	NOUN
cord-121428-79wyxedn	145	44	of	of	ADP
cord-121428-79wyxedn	145	45	a	a	DET
cord-121428-79wyxedn	145	46	moment	moment	NOUN
cord-121428-79wyxedn	145	47	of	of	ADP
cord-121428-79wyxedn	145	48	a	a	DET
cord-121428-79wyxedn	145	49	certain	certain	ADJ
cord-121428-79wyxedn	145	50	order	order	NOUN
cord-121428-79wyxedn	145	51	depends	depend	VERB
cord-121428-79wyxedn	145	52	on	on	ADP
cord-121428-79wyxedn	145	53	the	the	DET
cord-121428-79wyxedn	145	54	knowledge	knowledge	NOUN
cord-121428-79wyxedn	145	55	of	of	ADP
cord-121428-79wyxedn	145	56	higher	high	ADJ
cord-121428-79wyxedn	145	57	order	order	NOUN
cord-121428-79wyxedn	145	58	moments	moment	NOUN
cord-121428-79wyxedn	145	59	,	,	PUNCT
cord-121428-79wyxedn	145	60	thus	thus	ADV
cord-121428-79wyxedn	145	61	producing	produce	VERB
cord-121428-79wyxedn	145	62	a	a	DET
cord-121428-79wyxedn	145	63	hierarchy	hierarchy	NOUN
cord-121428-79wyxedn	145	64	of	of	ADP
cord-121428-79wyxedn	145	65	equations	equation	NOUN
cord-121428-79wyxedn	145	66	,	,	PUNCT
cord-121428-79wyxedn	145	67	like	like	ADP
cord-121428-79wyxedn	145	68	in	in	ADP
cord-121428-79wyxedn	145	69	classical	classical	ADJ
cord-121428-79wyxedn	145	70	kinetic	kinetic	NOUN
cord-121428-79wyxedn	145	71	theory	theory	NOUN
cord-121428-79wyxedn	145	72	of	of	ADP
cord-121428-79wyxedn	145	73	rarefied	rarefied	ADJ
cord-121428-79wyxedn	145	74	gases	gas	NOUN
cord-121428-79wyxedn	145	75	[	[	PUNCT
cord-121428-79wyxedn	145	76	8	8	NUM
cord-121428-79wyxedn	145	77	]	]	PUNCT
cord-121428-79wyxedn	145	78	.	.	PUNCT
cord-121428-79wyxedn	146	1	we	we	PRON
cord-121428-79wyxedn	146	2	will	will	AUX
cord-121428-79wyxedn	146	3	come	come	VERB
cord-121428-79wyxedn	146	4	back	back	ADV
cord-121428-79wyxedn	146	5	to	to	ADP
cord-121428-79wyxedn	146	6	this	this	DET
cord-121428-79wyxedn	146	7	question	question	NOUN
cord-121428-79wyxedn	146	8	later	later	ADV
cord-121428-79wyxedn	146	9	on	on	ADV
cord-121428-79wyxedn	146	10	.	.	PUNCT
cord-121428-79wyxedn	147	1	before	before	ADP
cord-121428-79wyxedn	147	2	discussing	discuss	VERB
cord-121428-79wyxedn	147	3	the	the	DET
cord-121428-79wyxedn	147	4	closure	closure	NOUN
cord-121428-79wyxedn	147	5	,	,	PUNCT
cord-121428-79wyxedn	147	6	we	we	PRON
cord-121428-79wyxedn	147	7	establish	establish	VERB
cord-121428-79wyxedn	147	8	some	some	DET
cord-121428-79wyxedn	147	9	choices	choice	NOUN
cord-121428-79wyxedn	147	10	in	in	ADP
cord-121428-79wyxedn	147	11	the	the	DET
cord-121428-79wyxedn	147	12	model	model	NOUN
cord-121428-79wyxedn	147	13	in	in	ADP
cord-121428-79wyxedn	147	14	order	order	NOUN
cord-121428-79wyxedn	147	15	to	to	PART
cord-121428-79wyxedn	147	16	obtain	obtain	VERB
cord-121428-79wyxedn	147	17	results	result	NOUN
cord-121428-79wyxedn	147	18	which	which	PRON
cord-121428-79wyxedn	147	19	are	be	AUX
cord-121428-79wyxedn	147	20	in	in	ADP
cord-121428-79wyxedn	147	21	agreement	agreement	NOUN
cord-121428-79wyxedn	147	22	with	with	ADP
cord-121428-79wyxedn	147	23	the	the	DET
cord-121428-79wyxedn	147	24	ones	one	NOUN
cord-121428-79wyxedn	147	25	reported	report	VERB
cord-121428-79wyxedn	147	26	in	in	ADP
cord-121428-79wyxedn	147	27	[	[	X
cord-121428-79wyxedn	147	28	3	3	NUM
cord-121428-79wyxedn	147	29	]	]	PUNCT
cord-121428-79wyxedn	147	30	.	.	PUNCT
cord-121428-79wyxedn	148	1	we	we	PRON
cord-121428-79wyxedn	148	2	fix	fix	VERB
cord-121428-79wyxedn	148	3	the	the	DET
cord-121428-79wyxedn	148	4	value	value	NOUN
cord-121428-79wyxedn	148	5	δ	δ	PROPN
cord-121428-79wyxedn	148	6	=	=	SYM
cord-121428-79wyxedn	148	7	1	1	NUM
cord-121428-79wyxedn	148	8	,	,	PUNCT
cord-121428-79wyxedn	148	9	and	and	CCONJ
cord-121428-79wyxedn	148	10	the	the	DET
cord-121428-79wyxedn	148	11	incidence	incidence	NOUN
cord-121428-79wyxedn	148	12	rate	rate	NOUN
cord-121428-79wyxedn	148	13	as	as	ADP
cord-121428-79wyxedn	148	14	in	in	ADP
cord-121428-79wyxedn	148	15	(	(	PUNCT
cord-121428-79wyxedn	148	16	4	4	NUM
cord-121428-79wyxedn	148	17	)	)	PUNCT
cord-121428-79wyxedn	148	18	.	.	PUNCT
cord-121428-79wyxedn	149	1	in	in	ADP
cord-121428-79wyxedn	149	2	particular	particular	ADJ
cord-121428-79wyxedn	149	3	,	,	PUNCT
cord-121428-79wyxedn	149	4	the	the	DET
cord-121428-79wyxedn	149	5	choice	choice	NOUN
cord-121428-79wyxedn	149	6	δ	δ	NOUN
cord-121428-79wyxedn	149	7	=	=	SYM
cord-121428-79wyxedn	149	8	1	1	NUM
cord-121428-79wyxedn	149	9	gives	give	VERB
cord-121428-79wyxedn	149	10	,	,	PUNCT
cord-121428-79wyxedn	149	11	for	for	ADP
cord-121428-79wyxedn	149	12	j	j	PROPN
cord-121428-79wyxedn	149	13	∈	∈	PROPN
cord-121428-79wyxedn	149	14	{	{	PUNCT
cord-121428-79wyxedn	149	15	s	s	PROPN
cord-121428-79wyxedn	149	16	,	,	PUNCT
cord-121428-79wyxedn	149	17	i	i	INTJ
cord-121428-79wyxedn	149	18	,	,	PUNCT
cord-121428-79wyxedn	149	19	r	r	NOUN
cord-121428-79wyxedn	149	20	}	}	PUNCT
cord-121428-79wyxedn	149	21	in	in	ADP
cord-121428-79wyxedn	149	22	this	this	DET
cord-121428-79wyxedn	149	23	case	case	NOUN
cord-121428-79wyxedn	149	24	(	(	PUNCT
cord-121428-79wyxedn	149	25	17	17	NUM
cord-121428-79wyxedn	149	26	)	)	PUNCT
cord-121428-79wyxedn	149	27	imply	imply	VERB
cord-121428-79wyxedn	149	28	χ	χ	X
cord-121428-79wyxedn	149	29	=	=	X
cord-121428-79wyxedn	149	30	ν	ν	NOUN
cord-121428-79wyxedn	149	31	and	and	CCONJ
cord-121428-79wyxedn	149	32	θ	θ	NOUN
cord-121428-79wyxedn	149	33	=	=	NOUN
cord-121428-79wyxedn	149	34	x	x	NOUN
cord-121428-79wyxedn	149	35	j	j	PROPN
cord-121428-79wyxedn	149	36	/ν	/ν	PUNCT
cord-121428-79wyxedn	149	37	,	,	PUNCT
cord-121428-79wyxedn	149	38	and	and	CCONJ
cord-121428-79wyxedn	149	39	the	the	DET
cord-121428-79wyxedn	149	40	steady	steady	ADJ
cord-121428-79wyxedn	149	41	states	state	NOUN
cord-121428-79wyxedn	149	42	of	of	ADP
cord-121428-79wyxedn	149	43	unit	unit	NOUN
cord-121428-79wyxedn	149	44	mass	mass	PROPN
cord-121428-79wyxedn	149	45	,	,	PUNCT
cord-121428-79wyxedn	149	46	for	for	ADP
cord-121428-79wyxedn	149	47	j	j	PROPN
cord-121428-79wyxedn	149	48	∈	∈	PROPN
cord-121428-79wyxedn	149	49	{	{	PUNCT
cord-121428-79wyxedn	149	50	s	s	PROPN
cord-121428-79wyxedn	149	51	,	,	PUNCT
cord-121428-79wyxedn	149	52	i	i	INTJ
cord-121428-79wyxedn	149	53	,	,	PUNCT
cord-121428-79wyxedn	149	54	r	r	NOUN
cord-121428-79wyxedn	149	55	}	}	PUNCT
cord-121428-79wyxedn	149	56	,	,	PUNCT
cord-121428-79wyxedn	149	57	are	be	AUX
cord-121428-79wyxedn	149	58	the	the	DET
cord-121428-79wyxedn	149	59	gamma	gamma	NOUN
cord-121428-79wyxedn	149	60	densities	density	NOUN
cord-121428-79wyxedn	149	61	with	with	ADP
cord-121428-79wyxedn	149	62	this	this	DET
cord-121428-79wyxedn	149	63	particular	particular	ADJ
cord-121428-79wyxedn	149	64	choice	choice	NOUN
cord-121428-79wyxedn	149	65	,	,	PUNCT
cord-121428-79wyxedn	149	66	the	the	DET
cord-121428-79wyxedn	149	67	mean	mean	ADJ
cord-121428-79wyxedn	149	68	value	value	NOUN
cord-121428-79wyxedn	149	69	and	and	CCONJ
cord-121428-79wyxedn	149	70	the	the	DET
cord-121428-79wyxedn	149	71	variance	variance	NOUN
cord-121428-79wyxedn	149	72	of	of	ADP
cord-121428-79wyxedn	149	73	the	the	DET
cord-121428-79wyxedn	149	74	densities	density	NOUN
cord-121428-79wyxedn	149	75	(	(	PUNCT
cord-121428-79wyxedn	149	76	19	19	NUM
cord-121428-79wyxedn	149	77	)	)	PUNCT
cord-121428-79wyxedn	149	78	,	,	PUNCT
cord-121428-79wyxedn	149	79	j	j	PROPN
cord-121428-79wyxedn	149	80	∈	∈	PROPN
cord-121428-79wyxedn	149	81	{	{	PUNCT
cord-121428-79wyxedn	149	82	s	s	PROPN
cord-121428-79wyxedn	149	83	,	,	PUNCT
cord-121428-79wyxedn	149	84	i	i	INTJ
cord-121428-79wyxedn	149	85	,	,	PUNCT
cord-121428-79wyxedn	149	86	r	r	NOUN
cord-121428-79wyxedn	149	87	}	}	PUNCT
cord-121428-79wyxedn	149	88	,	,	PUNCT
cord-121428-79wyxedn	149	89	are	be	AUX
cord-121428-79wyxedn	149	90	given	give	VERB
cord-121428-79wyxedn	149	91	by	by	ADP
cord-121428-79wyxedn	149	92	we	we	PRON
cord-121428-79wyxedn	149	93	now	now	ADV
cord-121428-79wyxedn	149	94	go	go	VERB
cord-121428-79wyxedn	149	95	back	back	ADV
cord-121428-79wyxedn	149	96	to	to	ADP
cord-121428-79wyxedn	149	97	the	the	DET
cord-121428-79wyxedn	149	98	problem	problem	NOUN
cord-121428-79wyxedn	149	99	of	of	ADP
cord-121428-79wyxedn	149	100	modeling	model	VERB
cord-121428-79wyxedn	149	101	the	the	DET
cord-121428-79wyxedn	149	102	time	time	NOUN
cord-121428-79wyxedn	149	103	evolution	evolution	NOUN
cord-121428-79wyxedn	149	104	of	of	ADP
cord-121428-79wyxedn	149	105	the	the	DET
cord-121428-79wyxedn	149	106	densities	density	NOUN
cord-121428-79wyxedn	149	107	f	f	PROPN
cord-121428-79wyxedn	149	108	j	j	PROPN
cord-121428-79wyxedn	149	109	(	(	PUNCT
cord-121428-79wyxedn	149	110	x	x	PROPN
cord-121428-79wyxedn	149	111	,	,	PUNCT
cord-121428-79wyxedn	149	112	t	t	NOUN
cord-121428-79wyxedn	149	113	)	)	PUNCT
cord-121428-79wyxedn	149	114	.	.	PUNCT
cord-121428-79wyxedn	150	1	we	we	PRON
cord-121428-79wyxedn	150	2	assume	assume	VERB
cord-121428-79wyxedn	150	3	that	that	SCONJ
cord-121428-79wyxedn	150	4	due	due	ADP
cord-121428-79wyxedn	150	5	to	to	ADP
cord-121428-79wyxedn	150	6	the	the	DET
cord-121428-79wyxedn	150	7	presence	presence	NOUN
cord-121428-79wyxedn	150	8	of	of	ADP
cord-121428-79wyxedn	150	9	the	the	DET
cord-121428-79wyxedn	150	10	epidemic	epidemic	NOUN
cord-121428-79wyxedn	150	11	,	,	PUNCT
cord-121428-79wyxedn	150	12	the	the	DET
cord-121428-79wyxedn	150	13	population	population	NOUN
cord-121428-79wyxedn	150	14	tends	tend	VERB
cord-121428-79wyxedn	150	15	to	to	PART
cord-121428-79wyxedn	150	16	reduce	reduce	VERB
cord-121428-79wyxedn	150	17	the	the	DET
cord-121428-79wyxedn	150	18	typical	typical	ADJ
cord-121428-79wyxedn	150	19	average	average	ADJ
cord-121428-79wyxedn	150	20	number	number	NOUN
cord-121428-79wyxedn	150	21	of	of	ADP
cord-121428-79wyxedn	150	22	contacts	contact	NOUN
cord-121428-79wyxedn	150	23	which	which	PRON
cord-121428-79wyxedn	150	24	exhibits	exhibit	VERB
cord-121428-79wyxedn	150	25	in	in	ADP
cord-121428-79wyxedn	150	26	standard	standard	ADJ
cord-121428-79wyxedn	150	27	situations	situation	NOUN
cord-121428-79wyxedn	150	28	.	.	PUNCT
cord-121428-79wyxedn	151	1	this	this	PRON
cord-121428-79wyxedn	151	2	can	can	AUX
cord-121428-79wyxedn	151	3	happen	happen	VERB
cord-121428-79wyxedn	151	4	due	due	ADP
cord-121428-79wyxedn	151	5	to	to	ADP
cord-121428-79wyxedn	151	6	two	two	NUM
cord-121428-79wyxedn	151	7	main	main	ADJ
cord-121428-79wyxedn	151	8	reasons	reason	NOUN
cord-121428-79wyxedn	151	9	:	:	PUNCT
cord-121428-79wyxedn	151	10	on	on	ADP
cord-121428-79wyxedn	151	11	voluntary	voluntary	ADJ
cord-121428-79wyxedn	151	12	basis	basis	NOUN
cord-121428-79wyxedn	151	13	for	for	ADP
cord-121428-79wyxedn	151	14	preventing	prevent	VERB
cord-121428-79wyxedn	151	15	contagion	contagion	NOUN
cord-121428-79wyxedn	151	16	or	or	CCONJ
cord-121428-79wyxedn	151	17	by	by	ADP
cord-121428-79wyxedn	151	18	authorities	authority	NOUN
cord-121428-79wyxedn	151	19	decision	decision	VERB
cord-121428-79wyxedn	151	20	through	through	ADP
cord-121428-79wyxedn	151	21	lockdown	lockdown	NOUN
cord-121428-79wyxedn	151	22	measures	measure	NOUN
cord-121428-79wyxedn	151	23	.	.	PUNCT
cord-121428-79wyxedn	152	1	this	this	DET
cord-121428-79wyxedn	152	2	average	average	ADJ
cord-121428-79wyxedn	152	3	reduction	reduction	NOUN
cord-121428-79wyxedn	152	4	effect	effect	NOUN
cord-121428-79wyxedn	152	5	can	can	AUX
cord-121428-79wyxedn	152	6	be	be	AUX
cord-121428-79wyxedn	152	7	introduced	introduce	VERB
cord-121428-79wyxedn	152	8	by	by	ADP
cord-121428-79wyxedn	152	9	assuming	assume	VERB
cord-121428-79wyxedn	152	10	that	that	SCONJ
cord-121428-79wyxedn	152	11	the	the	DET
cord-121428-79wyxedn	152	12	mean	mean	ADJ
cord-121428-79wyxedn	152	13	number	number	NOUN
cord-121428-79wyxedn	152	14	of	of	ADP
cord-121428-79wyxedn	152	15	daily	daily	ADJ
cord-121428-79wyxedn	152	16	contacts	contact	NOUN
cord-121428-79wyxedn	152	17	x	x	X
cord-121428-79wyxedn	152	18	j	j	PROPN
cord-121428-79wyxedn	152	19	(	(	PUNCT
cord-121428-79wyxedn	152	20	t	t	PROPN
cord-121428-79wyxedn	152	21	)	)	PUNCT
cord-121428-79wyxedn	152	22	,	,	PUNCT
cord-121428-79wyxedn	152	23	j	j	PROPN
cord-121428-79wyxedn	152	24	∈	∈	PROPN
cord-121428-79wyxedn	152	25	{	{	PUNCT
cord-121428-79wyxedn	152	26	s	s	PROPN
cord-121428-79wyxedn	152	27	,	,	PUNCT
cord-121428-79wyxedn	152	28	i	i	PRON
cord-121428-79wyxedn	152	29	}	}	PUNCT
cord-121428-79wyxedn	152	30	depends	depend	VERB
cord-121428-79wyxedn	152	31	on	on	ADP
cord-121428-79wyxedn	152	32	the	the	DET
cord-121428-79wyxedn	152	33	proportion	proportion	NOUN
cord-121428-79wyxedn	152	34	of	of	ADP
cord-121428-79wyxedn	152	35	infected	infect	VERB
cord-121428-79wyxedn	152	36	where	where	SCONJ
cord-121428-79wyxedn	152	37	the	the	DET
cord-121428-79wyxedn	152	38	function	function	NOUN
cord-121428-79wyxedn	152	39	h(r	h(r	PROPN
cord-121428-79wyxedn	152	40	)	)	PUNCT
cord-121428-79wyxedn	152	41	is	be	AUX
cord-121428-79wyxedn	152	42	decreasing	decrease	VERB
cord-121428-79wyxedn	152	43	with	with	ADP
cord-121428-79wyxedn	152	44	respect	respect	NOUN
cord-121428-79wyxedn	152	45	to	to	ADP
cord-121428-79wyxedn	152	46	r	r	NOUN
cord-121428-79wyxedn	152	47	,	,	PUNCT
cord-121428-79wyxedn	152	48	0	0	NUM
cord-121428-79wyxedn	153	1	≤	≤	NOUN
cord-121428-79wyxedn	153	2	r	r	NOUN
cord-121428-79wyxedn	153	3	≤	≤	PROPN
cord-121428-79wyxedn	153	4	1	1	NUM
cord-121428-79wyxedn	153	5	,	,	PUNCT
cord-121428-79wyxedn	153	6	starting	start	VERB
cord-121428-79wyxedn	153	7	from	from	ADP
cord-121428-79wyxedn	153	8	h(0	h(0	PROPN
cord-121428-79wyxedn	153	9	)	)	PUNCT
cord-121428-79wyxedn	153	10	=	=	SYM
cord-121428-79wyxedn	153	11	1	1	X
cord-121428-79wyxedn	153	12	.	.	X
cord-121428-79wyxedn	154	1	in	in	ADP
cord-121428-79wyxedn	154	2	particular	particular	ADJ
cord-121428-79wyxedn	154	3	,	,	PUNCT
cord-121428-79wyxedn	154	4	in	in	ADP
cord-121428-79wyxedn	154	5	our	our	PRON
cord-121428-79wyxedn	154	6	model	model	NOUN
cord-121428-79wyxedn	154	7	,	,	PUNCT
cord-121428-79wyxedn	154	8	we	we	PRON
cord-121428-79wyxedn	154	9	do	do	AUX
cord-121428-79wyxedn	154	10	not	not	PART
cord-121428-79wyxedn	154	11	consider	consider	VERB
cord-121428-79wyxedn	154	12	a	a	DET
cord-121428-79wyxedn	154	13	time	time	NOUN
cord-121428-79wyxedn	154	14	-	-	PUNCT
cord-121428-79wyxedn	154	15	dependent	dependent	ADJ
cord-121428-79wyxedn	154	16	mean	mean	ADJ
cord-121428-79wyxedn	154	17	number	number	NOUN
cord-121428-79wyxedn	154	18	of	of	ADP
cord-121428-79wyxedn	154	19	social	social	ADJ
cord-121428-79wyxedn	154	20	contacts	contact	NOUN
cord-121428-79wyxedn	154	21	for	for	ADP
cord-121428-79wyxedn	154	22	the	the	DET
cord-121428-79wyxedn	154	23	class	class	NOUN
cord-121428-79wyxedn	154	24	of	of	ADP
cord-121428-79wyxedn	154	25	recovered	recover	VERB
cord-121428-79wyxedn	154	26	.	.	PUNCT
cord-121428-79wyxedn	155	1	this	this	PRON
cord-121428-79wyxedn	155	2	is	be	AUX
cord-121428-79wyxedn	155	3	due	due	ADJ
cord-121428-79wyxedn	155	4	to	to	ADP
cord-121428-79wyxedn	155	5	the	the	DET
cord-121428-79wyxedn	155	6	fact	fact	NOUN
cord-121428-79wyxedn	155	7	that	that	SCONJ
cord-121428-79wyxedn	155	8	the	the	DET
cord-121428-79wyxedn	155	9	behavior	behavior	NOUN
cord-121428-79wyxedn	155	10	of	of	ADP
cord-121428-79wyxedn	155	11	epidemic	epidemic	NOUN
cord-121428-79wyxedn	155	12	does	do	AUX
cord-121428-79wyxedn	155	13	not	not	PART
cord-121428-79wyxedn	155	14	depend	depend	VERB
cord-121428-79wyxedn	155	15	on	on	ADP
cord-121428-79wyxedn	155	16	it	it	PRON
cord-121428-79wyxedn	155	17	.	.	PUNCT
cord-121428-79wyxedn	156	1	for	for	ADP
cord-121428-79wyxedn	156	2	j	j	PROPN
cord-121428-79wyxedn	156	3	∈	∈	PROPN
cord-121428-79wyxedn	156	4	{	{	PUNCT
cord-121428-79wyxedn	156	5	s	s	PROPN
cord-121428-79wyxedn	156	6	,	,	PUNCT
cord-121428-79wyxedn	156	7	i	i	INTJ
cord-121428-79wyxedn	156	8	,	,	PUNCT
cord-121428-79wyxedn	156	9	r	r	NOUN
cord-121428-79wyxedn	156	10	}	}	PUNCT
cord-121428-79wyxedn	156	11	,	,	PUNCT
cord-121428-79wyxedn	156	12	andx	andx	PROPN
cord-121428-79wyxedn	156	13	j	j	PROPN
cord-121428-79wyxedn	156	14	(	(	PUNCT
cord-121428-79wyxedn	156	15	t	t	NOUN
cord-121428-79wyxedn	156	16	)	)	PUNCT
cord-121428-79wyxedn	156	17	as	as	ADP
cord-121428-79wyxedn	156	18	in	in	ADP
cord-121428-79wyxedn	156	19	(	(	PUNCT
cord-121428-79wyxedn	156	20	20	20	NUM
cord-121428-79wyxedn	156	21	)	)	PUNCT
cord-121428-79wyxedn	156	22	,	,	PUNCT
cord-121428-79wyxedn	156	23	we	we	PRON
cord-121428-79wyxedn	156	24	now	now	ADV
cord-121428-79wyxedn	156	25	definē	definē	VERB
cord-121428-79wyxedn	156	26	with	with	ADP
cord-121428-79wyxedn	156	27	these	these	DET
cord-121428-79wyxedn	156	28	notations	notation	NOUN
cord-121428-79wyxedn	156	29	,	,	PUNCT
cord-121428-79wyxedn	156	30	system	system	NOUN
cord-121428-79wyxedn	156	31	(	(	PUNCT
cord-121428-79wyxedn	156	32	14	14	NUM
cord-121428-79wyxedn	156	33	)	)	PUNCT
cord-121428-79wyxedn	156	34	with	with	ADP
cord-121428-79wyxedn	156	35	δ	δ	PROPN
cord-121428-79wyxedn	156	36	=	=	SYM
cord-121428-79wyxedn	156	37	1	1	NUM
cord-121428-79wyxedn	156	38	reads	read	VERB
cord-121428-79wyxedn	156	39	integrating	integrate	VERB
cord-121428-79wyxedn	156	40	both	both	DET
cord-121428-79wyxedn	156	41	sides	side	NOUN
cord-121428-79wyxedn	156	42	of	of	ADP
cord-121428-79wyxedn	156	43	equations	equation	NOUN
cord-121428-79wyxedn	156	44	in	in	ADP
cord-121428-79wyxedn	156	45	(	(	PUNCT
cord-121428-79wyxedn	156	46	21	21	NUM
cord-121428-79wyxedn	156	47	)	)	PUNCT
cord-121428-79wyxedn	156	48	with	with	ADP
cord-121428-79wyxedn	156	49	respect	respect	NOUN
cord-121428-79wyxedn	156	50	to	to	ADP
cord-121428-79wyxedn	156	51	x	x	INTJ
cord-121428-79wyxedn	156	52	,	,	PUNCT
cord-121428-79wyxedn	156	53	and	and	CCONJ
cord-121428-79wyxedn	156	54	recalling	recall	VERB
cord-121428-79wyxedn	156	55	that	that	SCONJ
cord-121428-79wyxedn	156	56	the	the	DET
cord-121428-79wyxedn	156	57	fokker	fokker	NOUN
cord-121428-79wyxedn	156	58	-	-	PUNCT
cord-121428-79wyxedn	156	59	planck	planck	NOUN
cord-121428-79wyxedn	156	60	type	type	NOUN
cord-121428-79wyxedn	156	61	operators	operator	NOUN
cord-121428-79wyxedn	156	62	are	be	AUX
cord-121428-79wyxedn	156	63	mass	mass	NOUN
cord-121428-79wyxedn	156	64	-	-	PUNCT
cord-121428-79wyxedn	156	65	preserving	preserving	NOUN
cord-121428-79wyxedn	156	66	,	,	PUNCT
cord-121428-79wyxedn	156	67	we	we	PRON
cord-121428-79wyxedn	156	68	obtain	obtain	VERB
cord-121428-79wyxedn	156	69	the	the	DET
cord-121428-79wyxedn	156	70	system	system	NOUN
cord-121428-79wyxedn	156	71	for	for	ADP
cord-121428-79wyxedn	156	72	the	the	DET
cord-121428-79wyxedn	156	73	evolution	evolution	NOUN
cord-121428-79wyxedn	156	74	of	of	ADP
cord-121428-79wyxedn	156	75	the	the	DET
cord-121428-79wyxedn	156	76	proportions	proportion	NOUN
cord-121428-79wyxedn	156	77	j(t	j(t	PROPN
cord-121428-79wyxedn	156	78	)	)	PUNCT
cord-121428-79wyxedn	156	79	defined	define	VERB
cord-121428-79wyxedn	156	80	in	in	ADP
cord-121428-79wyxedn	156	81	(	(	PUNCT
cord-121428-79wyxedn	156	82	1	1	NUM
cord-121428-79wyxedn	156	83	)	)	PUNCT
cord-121428-79wyxedn	156	84	,	,	PUNCT
cord-121428-79wyxedn	156	85	j	j	PROPN
cord-121428-79wyxedn	156	86	∈	∈	PROPN
cord-121428-79wyxedn	156	87	{	{	PUNCT
cord-121428-79wyxedn	156	88	s	s	PROPN
cord-121428-79wyxedn	156	89	,	,	PUNCT
cord-121428-79wyxedn	156	90	i	i	INTJ
cord-121428-79wyxedn	156	91	,	,	PUNCT
cord-121428-79wyxedn	156	92	r	r	NOUN
cord-121428-79wyxedn	156	93	}	}	PUNCT
cord-121428-79wyxedn	156	94	as	as	SCONJ
cord-121428-79wyxedn	156	95	anticipated	anticipate	VERB
cord-121428-79wyxedn	156	96	,	,	PUNCT
cord-121428-79wyxedn	156	97	unlike	unlike	ADP
cord-121428-79wyxedn	156	98	the	the	DET
cord-121428-79wyxedn	156	99	classical	classical	ADJ
cord-121428-79wyxedn	156	100	sir	sir	NOUN
cord-121428-79wyxedn	156	101	model	model	NOUN
cord-121428-79wyxedn	156	102	,	,	PUNCT
cord-121428-79wyxedn	156	103	system	system	NOUN
cord-121428-79wyxedn	156	104	(	(	PUNCT
cord-121428-79wyxedn	156	105	22	22	NUM
cord-121428-79wyxedn	156	106	)	)	PUNCT
cord-121428-79wyxedn	156	107	is	be	AUX
cord-121428-79wyxedn	156	108	not	not	PART
cord-121428-79wyxedn	156	109	closed	closed	ADJ
cord-121428-79wyxedn	156	110	,	,	PUNCT
cord-121428-79wyxedn	156	111	since	since	SCONJ
cord-121428-79wyxedn	156	112	the	the	DET
cord-121428-79wyxedn	156	113	evolution	evolution	NOUN
cord-121428-79wyxedn	156	114	of	of	ADP
cord-121428-79wyxedn	156	115	the	the	DET
cord-121428-79wyxedn	156	116	mass	mass	ADJ
cord-121428-79wyxedn	156	117	fractions	fraction	NOUN
cord-121428-79wyxedn	156	118	j(t	j(t	PROPN
cord-121428-79wyxedn	156	119	)	)	PUNCT
cord-121428-79wyxedn	156	120	,	,	PUNCT
cord-121428-79wyxedn	156	121	j	j	PROPN
cord-121428-79wyxedn	156	122	∈	∈	PROPN
cord-121428-79wyxedn	156	123	{	{	PUNCT
cord-121428-79wyxedn	156	124	s	s	PROPN
cord-121428-79wyxedn	156	125	,	,	PUNCT
cord-121428-79wyxedn	156	126	i	i	PROPN
cord-121428-79wyxedn	156	127	,	,	PUNCT
cord-121428-79wyxedn	156	128	r	r	NOUN
cord-121428-79wyxedn	156	129	}	}	PUNCT
cord-121428-79wyxedn	156	130	depends	depend	VERB
cord-121428-79wyxedn	156	131	on	on	ADP
cord-121428-79wyxedn	156	132	the	the	DET
cord-121428-79wyxedn	156	133	mean	mean	ADJ
cord-121428-79wyxedn	156	134	values	value	NOUN
cord-121428-79wyxedn	156	135	m	m	VERB
cord-121428-79wyxedn	156	136	j	j	PROPN
cord-121428-79wyxedn	156	137	(	(	PUNCT
cord-121428-79wyxedn	156	138	t	t	PROPN
cord-121428-79wyxedn	156	139	)	)	PUNCT
cord-121428-79wyxedn	156	140	.	.	PUNCT
cord-121428-79wyxedn	157	1	similarly	similarly	ADV
cord-121428-79wyxedn	157	2	to	to	ADP
cord-121428-79wyxedn	157	3	the	the	DET
cord-121428-79wyxedn	157	4	derivation	derivation	NOUN
cord-121428-79wyxedn	157	5	of	of	ADP
cord-121428-79wyxedn	157	6	macroscopic	macroscopic	ADJ
cord-121428-79wyxedn	157	7	equations	equation	NOUN
cord-121428-79wyxedn	157	8	in	in	ADP
cord-121428-79wyxedn	157	9	kinetic	kinetic	NOUN
cord-121428-79wyxedn	157	10	theory	theory	NOUN
cord-121428-79wyxedn	157	11	,	,	PUNCT
cord-121428-79wyxedn	157	12	the	the	DET
cord-121428-79wyxedn	157	13	closure	closure	NOUN
cord-121428-79wyxedn	157	14	of	of	ADP
cord-121428-79wyxedn	157	15	system	system	NOUN
cord-121428-79wyxedn	157	16	(	(	PUNCT
cord-121428-79wyxedn	157	17	22	22	NUM
cord-121428-79wyxedn	157	18	)	)	PUNCT
cord-121428-79wyxedn	157	19	can	can	AUX
cord-121428-79wyxedn	157	20	be	be	AUX
cord-121428-79wyxedn	157	21	obtained	obtain	VERB
cord-121428-79wyxedn	157	22	by	by	ADP
cord-121428-79wyxedn	157	23	resorting	resort	VERB
cord-121428-79wyxedn	157	24	,	,	PUNCT
cord-121428-79wyxedn	157	25	at	at	ADP
cord-121428-79wyxedn	157	26	least	least	ADJ
cord-121428-79wyxedn	157	27	formally	formally	ADV
cord-121428-79wyxedn	157	28	,	,	PUNCT
cord-121428-79wyxedn	157	29	on	on	ADP
cord-121428-79wyxedn	157	30	a	a	DET
cord-121428-79wyxedn	157	31	limit	limit	NOUN
cord-121428-79wyxedn	157	32	procedure	procedure	NOUN
cord-121428-79wyxedn	157	33	.	.	PUNCT
cord-121428-79wyxedn	158	1	in	in	ADP
cord-121428-79wyxedn	158	2	fact	fact	NOUN
cord-121428-79wyxedn	158	3	,	,	PUNCT
cord-121428-79wyxedn	158	4	as	as	SCONJ
cord-121428-79wyxedn	158	5	outlined	outline	VERB
cord-121428-79wyxedn	158	6	in	in	ADP
cord-121428-79wyxedn	158	7	the	the	DET
cord-121428-79wyxedn	158	8	introduction	introduction	NOUN
cord-121428-79wyxedn	158	9	,	,	PUNCT
cord-121428-79wyxedn	158	10	the	the	DET
cord-121428-79wyxedn	158	11	typical	typical	ADJ
cord-121428-79wyxedn	158	12	time	time	NOUN
cord-121428-79wyxedn	158	13	scale	scale	NOUN
cord-121428-79wyxedn	158	14	involved	involve	VERB
cord-121428-79wyxedn	158	15	in	in	ADP
cord-121428-79wyxedn	158	16	the	the	DET
cord-121428-79wyxedn	158	17	social	social	ADJ
cord-121428-79wyxedn	158	18	contact	contact	NOUN
cord-121428-79wyxedn	158	19	dynamic	dynamic	ADJ
cord-121428-79wyxedn	158	20	is	be	AUX
cord-121428-79wyxedn	158	21	τ	τ	NOUN
cord-121428-79wyxedn	158	22	1	1	NUM
cord-121428-79wyxedn	158	23	which	which	PRON
cord-121428-79wyxedn	158	24	identifies	identify	VERB
cord-121428-79wyxedn	158	25	a	a	DET
cord-121428-79wyxedn	158	26	faster	fast	ADJ
cord-121428-79wyxedn	158	27	adaptation	adaptation	NOUN
cord-121428-79wyxedn	158	28	of	of	ADP
cord-121428-79wyxedn	158	29	individuals	individual	NOUN
cord-121428-79wyxedn	158	30	to	to	ADP
cord-121428-79wyxedn	158	31	social	social	ADJ
cord-121428-79wyxedn	158	32	contacts	contact	NOUN
cord-121428-79wyxedn	158	33	with	with	ADP
cord-121428-79wyxedn	158	34	respect	respect	NOUN
cord-121428-79wyxedn	158	35	to	to	ADP
cord-121428-79wyxedn	158	36	the	the	DET
cord-121428-79wyxedn	158	37	evolution	evolution	NOUN
cord-121428-79wyxedn	158	38	time	time	NOUN
cord-121428-79wyxedn	158	39	of	of	ADP
cord-121428-79wyxedn	158	40	the	the	DET
cord-121428-79wyxedn	158	41	epidemic	epidemic	NOUN
cord-121428-79wyxedn	158	42	disease	disease	NOUN
cord-121428-79wyxedn	158	43	.	.	PUNCT
cord-121428-79wyxedn	159	1	the	the	DET
cord-121428-79wyxedn	159	2	choice	choice	NOUN
cord-121428-79wyxedn	159	3	of	of	ADP
cord-121428-79wyxedn	159	4	the	the	DET
cord-121428-79wyxedn	159	5	value	value	NOUN
cord-121428-79wyxedn	159	6	τ	τ	NOUN
cord-121428-79wyxedn	159	7	1	1	NUM
cord-121428-79wyxedn	159	8	pushes	push	VERB
cord-121428-79wyxedn	159	9	the	the	DET
cord-121428-79wyxedn	159	10	distribution	distribution	NOUN
cord-121428-79wyxedn	159	11	function	function	NOUN
cord-121428-79wyxedn	159	12	f	f	PROPN
cord-121428-79wyxedn	159	13	s	s	PROPN
cord-121428-79wyxedn	159	14	(	(	PUNCT
cord-121428-79wyxedn	159	15	x	x	PROPN
cord-121428-79wyxedn	159	16	,	,	PUNCT
cord-121428-79wyxedn	159	17	t	t	NOUN
cord-121428-79wyxedn	159	18	)	)	PUNCT
cord-121428-79wyxedn	159	19	towards	towards	ADP
cord-121428-79wyxedn	159	20	the	the	DET
cord-121428-79wyxedn	159	21	gamma	gamma	PROPN
cord-121428-79wyxedn	159	22	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	159	23	density	density	NOUN
cord-121428-79wyxedn	159	24	with	with	ADP
cord-121428-79wyxedn	159	25	a	a	DET
cord-121428-79wyxedn	159	26	mass	mass	ADJ
cord-121428-79wyxedn	159	27	fraction	fraction	NOUN
cord-121428-79wyxedn	159	28	s(t	s(t	PROPN
cord-121428-79wyxedn	159	29	)	)	PUNCT
cord-121428-79wyxedn	159	30	and	and	CCONJ
cord-121428-79wyxedn	159	31	momentum	momentum	NOUN
cord-121428-79wyxedn	159	32	as	as	SCONJ
cord-121428-79wyxedn	159	33	it	it	PRON
cord-121428-79wyxedn	159	34	can	can	AUX
cord-121428-79wyxedn	159	35	be	be	AUX
cord-121428-79wyxedn	159	36	easily	easily	ADV
cord-121428-79wyxedn	159	37	verified	verify	VERB
cord-121428-79wyxedn	159	38	from	from	ADP
cord-121428-79wyxedn	159	39	the	the	DET
cord-121428-79wyxedn	159	40	differential	differential	ADJ
cord-121428-79wyxedn	159	41	expression	expression	NOUN
cord-121428-79wyxedn	159	42	of	of	ADP
cord-121428-79wyxedn	159	43	the	the	DET
cord-121428-79wyxedn	159	44	interaction	interaction	NOUN
cord-121428-79wyxedn	159	45	operatorq	operatorq	PROPN
cord-121428-79wyxedn	159	46	s	s	PROPN
cord-121428-79wyxedn	159	47	.	.	PUNCT
cord-121428-79wyxedn	160	1	indeed	indeed	ADV
cord-121428-79wyxedn	160	2	,	,	PUNCT
cord-121428-79wyxedn	160	3	if	if	SCONJ
cord-121428-79wyxedn	160	4	τ	τ	PROPN
cord-121428-79wyxedn	160	5	1	1	NUM
cord-121428-79wyxedn	160	6	is	be	AUX
cord-121428-79wyxedn	160	7	sufficiently	sufficiently	ADV
cord-121428-79wyxedn	160	8	small	small	ADJ
cord-121428-79wyxedn	160	9	,	,	PUNCT
cord-121428-79wyxedn	160	10	one	one	PRON
cord-121428-79wyxedn	160	11	can	can	AUX
cord-121428-79wyxedn	160	12	easily	easily	ADV
cord-121428-79wyxedn	160	13	argue	argue	VERB
cord-121428-79wyxedn	160	14	from	from	ADP
cord-121428-79wyxedn	160	15	the	the	DET
cord-121428-79wyxedn	160	16	exponential	exponential	ADJ
cord-121428-79wyxedn	160	17	convergence	convergence	NOUN
cord-121428-79wyxedn	160	18	of	of	ADP
cord-121428-79wyxedn	160	19	the	the	DET
cord-121428-79wyxedn	160	20	solution	solution	NOUN
cord-121428-79wyxedn	160	21	of	of	ADP
cord-121428-79wyxedn	160	22	the	the	DET
cord-121428-79wyxedn	160	23	following	follow	VERB
cord-121428-79wyxedn	160	24	expression	expression	NOUN
cord-121428-79wyxedn	160	25	towards	towards	ADP
cord-121428-79wyxedn	160	26	the	the	DET
cord-121428-79wyxedn	160	27	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	160	28	f	f	PROPN
cord-121428-79wyxedn	160	29	∞	∞	PROPN
cord-121428-79wyxedn	160	30	s	s	PROPN
cord-121428-79wyxedn	160	31	(	(	PUNCT
cord-121428-79wyxedn	160	32	x	x	X
cord-121428-79wyxedn	160	33	;	;	PUNCT
cord-121428-79wyxedn	160	34	θ	θ	X
cord-121428-79wyxedn	160	35	,	,	PUNCT
cord-121428-79wyxedn	160	36	ν	ν	NOUN
cord-121428-79wyxedn	160	37	)	)	PUNCT
cord-121428-79wyxedn	160	38	(	(	PUNCT
cord-121428-79wyxedn	160	39	see	see	VERB
cord-121428-79wyxedn	160	40	[	[	X
cord-121428-79wyxedn	160	41	47	47	NUM
cord-121428-79wyxedn	160	42	]	]	PUNCT
cord-121428-79wyxedn	160	43	for	for	ADP
cord-121428-79wyxedn	160	44	details	detail	NOUN
cord-121428-79wyxedn	160	45	)	)	PUNCT
cord-121428-79wyxedn	160	46	,	,	PUNCT
cord-121428-79wyxedn	160	47	that	that	SCONJ
cord-121428-79wyxedn	160	48	the	the	DET
cord-121428-79wyxedn	160	49	solution	solution	NOUN
cord-121428-79wyxedn	160	50	f	f	PROPN
cord-121428-79wyxedn	160	51	s	s	PROPN
cord-121428-79wyxedn	160	52	(	(	PUNCT
cord-121428-79wyxedn	160	53	x	x	PROPN
cord-121428-79wyxedn	160	54	,	,	PUNCT
cord-121428-79wyxedn	160	55	t	t	PROPN
cord-121428-79wyxedn	160	56	)	)	PUNCT
cord-121428-79wyxedn	160	57	remains	remain	VERB
cord-121428-79wyxedn	160	58	sufficiently	sufficiently	ADV
cord-121428-79wyxedn	160	59	close	close	ADJ
cord-121428-79wyxedn	160	60	to	to	ADP
cord-121428-79wyxedn	160	61	the	the	DET
cord-121428-79wyxedn	160	62	gamma	gamma	NOUN
cord-121428-79wyxedn	160	63	density	density	NOUN
cord-121428-79wyxedn	160	64	with	with	ADP
cord-121428-79wyxedn	160	65	mass	mass	PROPN
cord-121428-79wyxedn	160	66	s(t	s(t	PROPN
cord-121428-79wyxedn	160	67	)	)	PUNCT
cord-121428-79wyxedn	160	68	and	and	CCONJ
cord-121428-79wyxedn	160	69	momentum	momentum	NOUN
cord-121428-79wyxedn	160	70	given	give	VERB
cord-121428-79wyxedn	160	71	by	by	ADP
cord-121428-79wyxedn	160	72	(	(	PUNCT
cord-121428-79wyxedn	160	73	23	23	NUM
cord-121428-79wyxedn	160	74	)	)	PUNCT
cord-121428-79wyxedn	160	75	for	for	ADP
cord-121428-79wyxedn	160	76	all	all	DET
cord-121428-79wyxedn	160	77	times	time	NOUN
cord-121428-79wyxedn	160	78	.	.	PUNCT
cord-121428-79wyxedn	161	1	this	this	DET
cord-121428-79wyxedn	161	2	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	161	3	distribution	distribution	NOUN
cord-121428-79wyxedn	161	4	f	f	PROPN
cord-121428-79wyxedn	161	5	∞	∞	X
cord-121428-79wyxedn	161	6	s	s	PROPN
cord-121428-79wyxedn	161	7	(	(	PUNCT
cord-121428-79wyxedn	161	8	x	x	X
cord-121428-79wyxedn	161	9	;	;	PUNCT
cord-121428-79wyxedn	161	10	θ	θ	X
cord-121428-79wyxedn	161	11	,	,	PUNCT
cord-121428-79wyxedn	161	12	ν	ν	NOUN
cord-121428-79wyxedn	161	13	)	)	PUNCT
cord-121428-79wyxedn	161	14	can	can	AUX
cord-121428-79wyxedn	161	15	be	be	AUX
cord-121428-79wyxedn	161	16	plugged	plug	VERB
cord-121428-79wyxedn	161	17	into	into	ADP
cord-121428-79wyxedn	161	18	the	the	DET
cord-121428-79wyxedn	161	19	first	first	ADJ
cord-121428-79wyxedn	161	20	equation	equation	NOUN
cord-121428-79wyxedn	161	21	of	of	ADP
cord-121428-79wyxedn	161	22	(	(	PUNCT
cord-121428-79wyxedn	161	23	21	21	NUM
cord-121428-79wyxedn	161	24	)	)	PUNCT
cord-121428-79wyxedn	161	25	and	and	CCONJ
cord-121428-79wyxedn	161	26	then	then	ADV
cord-121428-79wyxedn	161	27	one	one	PRON
cord-121428-79wyxedn	161	28	can	can	AUX
cord-121428-79wyxedn	161	29	integrate	integrate	VERB
cord-121428-79wyxedn	161	30	it	it	PRON
cord-121428-79wyxedn	161	31	with	with	ADP
cord-121428-79wyxedn	161	32	respect	respect	NOUN
cord-121428-79wyxedn	161	33	to	to	ADP
cord-121428-79wyxedn	161	34	the	the	DET
cord-121428-79wyxedn	161	35	variable	variable	ADJ
cord-121428-79wyxedn	161	36	x.	x.	NOUN
cord-121428-79wyxedn	162	1	this	this	DET
cord-121428-79wyxedn	162	2	procedure	procedure	NOUN
cord-121428-79wyxedn	162	3	gives	give	VERB
cord-121428-79wyxedn	162	4	formally	formally	ADV
cord-121428-79wyxedn	162	5	the	the	DET
cord-121428-79wyxedn	162	6	first	first	ADJ
cord-121428-79wyxedn	162	7	equation	equation	NOUN
cord-121428-79wyxedn	162	8	of	of	ADP
cord-121428-79wyxedn	162	9	(	(	PUNCT
cord-121428-79wyxedn	162	10	22	22	NUM
cord-121428-79wyxedn	162	11	)	)	PUNCT
cord-121428-79wyxedn	162	12	.	.	PUNCT
cord-121428-79wyxedn	163	1	analogous	analogous	ADJ
cord-121428-79wyxedn	163	2	analysis	analysis	NOUN
cord-121428-79wyxedn	163	3	and	and	CCONJ
cord-121428-79wyxedn	163	4	formal	formal	ADJ
cord-121428-79wyxedn	163	5	limit	limit	NOUN
cord-121428-79wyxedn	163	6	procedure	procedure	NOUN
cord-121428-79wyxedn	163	7	can	can	AUX
cord-121428-79wyxedn	163	8	be	be	AUX
cord-121428-79wyxedn	163	9	done	do	VERB
cord-121428-79wyxedn	163	10	with	with	ADP
cord-121428-79wyxedn	163	11	the	the	DET
cord-121428-79wyxedn	163	12	second	second	ADJ
cord-121428-79wyxedn	163	13	equation	equation	NOUN
cord-121428-79wyxedn	163	14	in	in	ADP
cord-121428-79wyxedn	163	15	system	system	NOUN
cord-121428-79wyxedn	163	16	(	(	PUNCT
cord-121428-79wyxedn	163	17	21	21	NUM
cord-121428-79wyxedn	163	18	)	)	PUNCT
cord-121428-79wyxedn	163	19	,	,	PUNCT
cord-121428-79wyxedn	163	20	which	which	PRON
cord-121428-79wyxedn	163	21	leads	lead	VERB
cord-121428-79wyxedn	163	22	to	to	ADP
cord-121428-79wyxedn	163	23	relaxation	relaxation	NOUN
cord-121428-79wyxedn	163	24	towards	towards	ADP
cord-121428-79wyxedn	163	25	a	a	DET
cord-121428-79wyxedn	163	26	gamma	gamma	NOUN
cord-121428-79wyxedn	163	27	density	density	NOUN
cord-121428-79wyxedn	163	28	with	with	ADP
cord-121428-79wyxedn	163	29	mass	mass	ADJ
cord-121428-79wyxedn	163	30	fraction	fraction	NOUN
cord-121428-79wyxedn	163	31	i(t	i(t	PROPN
cord-121428-79wyxedn	163	32	)	)	PUNCT
cord-121428-79wyxedn	163	33	and	and	CCONJ
cord-121428-79wyxedn	163	34	momentum	momentum	NOUN
cord-121428-79wyxedn	163	35	given	give	VERB
cord-121428-79wyxedn	163	36	by	by	ADP
cord-121428-79wyxedn	163	37	m	m	PRON
cord-121428-79wyxedn	163	38	i	i	PROPN
cord-121428-79wyxedn	163	39	(	(	PUNCT
cord-121428-79wyxedn	163	40	t	t	NOUN
cord-121428-79wyxedn	163	41	)	)	PUNCT
cord-121428-79wyxedn	164	1	=	=	NOUN
cord-121428-79wyxedn	164	2	x	x	X
cord-121428-79wyxedn	164	3	i	i	PRON
cord-121428-79wyxedn	164	4	i(t)h(i(t	i(t)h(i(t	X
cord-121428-79wyxedn	164	5	)	)	PUNCT
cord-121428-79wyxedn	164	6	)	)	PUNCT
cord-121428-79wyxedn	164	7	.	.	PUNCT
cord-121428-79wyxedn	165	1	consequently	consequently	ADV
cord-121428-79wyxedn	165	2	,	,	PUNCT
cord-121428-79wyxedn	165	3	we	we	PRON
cord-121428-79wyxedn	165	4	obtain	obtain	VERB
cord-121428-79wyxedn	165	5	the	the	DET
cord-121428-79wyxedn	165	6	closure	closure	NOUN
cord-121428-79wyxedn	165	7	∂s(t	∂s(t	NOUN
cord-121428-79wyxedn	165	8	)	)	PUNCT
cord-121428-79wyxedn	166	1	∂t	∂t	X
cord-121428-79wyxedn	166	2	=	=	X
cord-121428-79wyxedn	166	3	−β	−β	X
cord-121428-79wyxedn	166	4	s(t	s(t	PROPN
cord-121428-79wyxedn	166	5	)	)	PUNCT
cord-121428-79wyxedn	166	6	i(t	i(t	PROPN
cord-121428-79wyxedn	166	7	)	)	PUNCT
cord-121428-79wyxedn	166	8	h	h	PROPN
cord-121428-79wyxedn	166	9	2	2	NUM
cord-121428-79wyxedn	166	10	(	(	PUNCT
cord-121428-79wyxedn	166	11	i(t	i(t	PROPN
cord-121428-79wyxedn	166	12	)	)	PUNCT
cord-121428-79wyxedn	166	13	)	)	PUNCT
cord-121428-79wyxedn	166	14	,	,	PUNCT
cord-121428-79wyxedn	167	1	in	in	ADP
cord-121428-79wyxedn	167	2	system	system	NOUN
cord-121428-79wyxedn	167	3	(	(	PUNCT
cord-121428-79wyxedn	167	4	26	26	NUM
cord-121428-79wyxedn	167	5	)	)	PUNCT
cord-121428-79wyxedn	167	6	we	we	PRON
cord-121428-79wyxedn	167	7	definedβ	definedβ	VERB
cord-121428-79wyxedn	167	8	=	=	PROPN
cord-121428-79wyxedn	167	9	βx	βx	PROPN
cord-121428-79wyxedn	167	10	ixs	ixs	PROPN
cord-121428-79wyxedn	167	11	.	.	PUNCT
cord-121428-79wyxedn	168	1	this	this	PRON
cord-121428-79wyxedn	168	2	identifies	identify	VERB
cord-121428-79wyxedn	168	3	the	the	DET
cord-121428-79wyxedn	168	4	classical	classical	ADJ
cord-121428-79wyxedn	168	5	transmission	transmission	NOUN
cord-121428-79wyxedn	168	6	parameter	parameter	NOUN
cord-121428-79wyxedn	168	7	of	of	ADP
cord-121428-79wyxedn	168	8	the	the	DET
cord-121428-79wyxedn	168	9	sir	sir	PROPN
cord-121428-79wyxedn	168	10	model	model	NOUN
cord-121428-79wyxedn	168	11	,	,	PUNCT
cord-121428-79wyxedn	168	12	where	where	SCONJ
cord-121428-79wyxedn	168	13	however	however	ADV
cord-121428-79wyxedn	168	14	now	now	ADV
cord-121428-79wyxedn	168	15	the	the	DET
cord-121428-79wyxedn	168	16	difference	difference	NOUN
cord-121428-79wyxedn	168	17	is	be	AUX
cord-121428-79wyxedn	168	18	that	that	SCONJ
cord-121428-79wyxedn	168	19	this	this	DET
cord-121428-79wyxedn	168	20	quantities	quantity	NOUN
cord-121428-79wyxedn	168	21	are	be	AUX
cord-121428-79wyxedn	168	22	not	not	PART
cord-121428-79wyxedn	168	23	postulated	postulate	VERB
cord-121428-79wyxedn	168	24	but	but	CCONJ
cord-121428-79wyxedn	168	25	instead	instead	ADV
cord-121428-79wyxedn	168	26	derived	derive	VERB
cord-121428-79wyxedn	168	27	starting	start	VERB
cord-121428-79wyxedn	168	28	from	from	ADP
cord-121428-79wyxedn	168	29	microscopic	microscopic	ADJ
cord-121428-79wyxedn	168	30	considerations	consideration	NOUN
cord-121428-79wyxedn	168	31	.	.	PUNCT
cord-121428-79wyxedn	169	1	in	in	ADP
cord-121428-79wyxedn	169	2	the	the	DET
cord-121428-79wyxedn	169	3	following	following	NOUN
cord-121428-79wyxedn	169	4	,	,	PUNCT
cord-121428-79wyxedn	169	5	we	we	PRON
cord-121428-79wyxedn	169	6	refer	refer	VERB
cord-121428-79wyxedn	169	7	to	to	ADP
cord-121428-79wyxedn	169	8	this	this	DET
cord-121428-79wyxedn	169	9	model	model	NOUN
cord-121428-79wyxedn	169	10	as	as	ADP
cord-121428-79wyxedn	169	11	the	the	DET
cord-121428-79wyxedn	169	12	social	social	ADJ
cord-121428-79wyxedn	169	13	contact	contact	NOUN
cord-121428-79wyxedn	169	14	-	-	PUNCT
cord-121428-79wyxedn	169	15	sir	sir	PROPN
cord-121428-79wyxedn	169	16	model	model	NOUN
cord-121428-79wyxedn	169	17	(	(	PUNCT
cord-121428-79wyxedn	169	18	s	s	PROPN
cord-121428-79wyxedn	169	19	-	-	NOUN
cord-121428-79wyxedn	169	20	sir	sir	PROPN
cord-121428-79wyxedn	169	21	)	)	PUNCT
cord-121428-79wyxedn	169	22	.	.	PUNCT
cord-121428-79wyxedn	170	1	remark	remark	PROPN
cord-121428-79wyxedn	170	2	4	4	NUM
cord-121428-79wyxedn	170	3	.	.	PUNCT
cord-121428-79wyxedn	171	1	the	the	DET
cord-121428-79wyxedn	171	2	outlined	outline	VERB
cord-121428-79wyxedn	171	3	closure	closure	NOUN
cord-121428-79wyxedn	171	4	strategy	strategy	NOUN
cord-121428-79wyxedn	171	5	can	can	AUX
cord-121428-79wyxedn	171	6	be	be	AUX
cord-121428-79wyxedn	171	7	obtained	obtain	VERB
cord-121428-79wyxedn	171	8	also	also	ADV
cord-121428-79wyxedn	171	9	by	by	ADP
cord-121428-79wyxedn	171	10	resorting	resort	VERB
cord-121428-79wyxedn	171	11	to	to	ADP
cord-121428-79wyxedn	171	12	the	the	DET
cord-121428-79wyxedn	171	13	splitting	splitting	NOUN
cord-121428-79wyxedn	171	14	method	method	NOUN
cord-121428-79wyxedn	171	15	,	,	PUNCT
cord-121428-79wyxedn	171	16	a	a	DET
cord-121428-79wyxedn	171	17	very	very	ADV
cord-121428-79wyxedn	171	18	popular	popular	ADJ
cord-121428-79wyxedn	171	19	numerical	numerical	ADJ
cord-121428-79wyxedn	171	20	approach	approach	NOUN
cord-121428-79wyxedn	171	21	for	for	ADP
cord-121428-79wyxedn	171	22	the	the	DET
cord-121428-79wyxedn	171	23	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	171	24	equation	equation	PROPN
cord-121428-79wyxedn	171	25	[	[	PUNCT
cord-121428-79wyxedn	171	26	23	23	NUM
cord-121428-79wyxedn	171	27	,	,	PUNCT
cord-121428-79wyxedn	171	28	39	39	NUM
cord-121428-79wyxedn	171	29	]	]	PUNCT
cord-121428-79wyxedn	171	30	.	.	PUNCT
cord-121428-79wyxedn	172	1	if	if	SCONJ
cord-121428-79wyxedn	172	2	at	at	ADP
cord-121428-79wyxedn	172	3	each	each	DET
cord-121428-79wyxedn	172	4	time	time	NOUN
cord-121428-79wyxedn	172	5	step	step	NOUN
cord-121428-79wyxedn	172	6	(	(	PUNCT
cord-121428-79wyxedn	172	7	t	t	NOUN
cord-121428-79wyxedn	172	8	,	,	PUNCT
cord-121428-79wyxedn	172	9	t	t	NOUN
cord-121428-79wyxedn	172	10	+	+	X
cord-121428-79wyxedn	172	11	∆t	∆t	PUNCT
cord-121428-79wyxedn	172	12	)	)	PUNCT
cord-121428-79wyxedn	172	13	we	we	PRON
cord-121428-79wyxedn	172	14	consider	consider	VERB
cord-121428-79wyxedn	172	15	sequentially	sequentially	ADV
cord-121428-79wyxedn	172	16	the	the	DET
cord-121428-79wyxedn	172	17	population	population	NOUN
cord-121428-79wyxedn	172	18	-	-	PUNCT
cord-121428-79wyxedn	172	19	based	base	VERB
cord-121428-79wyxedn	172	20	interaction	interaction	NOUN
cord-121428-79wyxedn	172	21	and	and	CCONJ
cord-121428-79wyxedn	172	22	relaxation	relaxation	NOUN
cord-121428-79wyxedn	172	23	operators	operator	NOUN
cord-121428-79wyxedn	172	24	in	in	ADP
cord-121428-79wyxedn	172	25	the	the	DET
cord-121428-79wyxedn	172	26	first	first	ADJ
cord-121428-79wyxedn	172	27	equation	equation	NOUN
cord-121428-79wyxedn	172	28	in	in	ADP
cord-121428-79wyxedn	172	29	(	(	PUNCT
cord-121428-79wyxedn	172	30	14	14	NUM
cord-121428-79wyxedn	172	31	)	)	PUNCT
cord-121428-79wyxedn	172	32	,	,	PUNCT
cord-121428-79wyxedn	172	33	during	during	ADP
cord-121428-79wyxedn	172	34	this	this	DET
cord-121428-79wyxedn	172	35	short	short	ADJ
cord-121428-79wyxedn	172	36	time	time	NOUN
cord-121428-79wyxedn	172	37	interval	interval	NOUN
cord-121428-79wyxedn	172	38	we	we	PRON
cord-121428-79wyxedn	172	39	recover	recover	VERB
cord-121428-79wyxedn	172	40	the	the	DET
cord-121428-79wyxedn	172	41	evolution	evolution	NOUN
cord-121428-79wyxedn	172	42	of	of	ADP
cord-121428-79wyxedn	172	43	the	the	DET
cord-121428-79wyxedn	172	44	density	density	NOUN
cord-121428-79wyxedn	172	45	from	from	ADP
cord-121428-79wyxedn	172	46	the	the	DET
cord-121428-79wyxedn	172	47	joint	joint	ADJ
cord-121428-79wyxedn	172	48	action	action	NOUN
cord-121428-79wyxedn	172	49	of	of	ADP
cord-121428-79wyxedn	172	50	relaxation	relaxation	NOUN
cord-121428-79wyxedn	172	51	∂f	∂f	PROPN
cord-121428-79wyxedn	172	52	s	s	PROPN
cord-121428-79wyxedn	172	53	(	(	PUNCT
cord-121428-79wyxedn	172	54	x	x	PROPN
cord-121428-79wyxedn	172	55	,	,	PUNCT
cord-121428-79wyxedn	172	56	t	t	NOUN
cord-121428-79wyxedn	172	57	)	)	PUNCT
cord-121428-79wyxedn	173	1	∂t	∂t	PROPN
cord-121428-79wyxedn	173	2	and	and	CCONJ
cord-121428-79wyxedn	173	3	sir	sir	PROPN
cord-121428-79wyxedn	173	4	interaction	interaction	NOUN
cord-121428-79wyxedn	173	5	we	we	PRON
cord-121428-79wyxedn	173	6	recall	recall	VERB
cord-121428-79wyxedn	173	7	once	once	ADV
cord-121428-79wyxedn	173	8	again	again	ADV
cord-121428-79wyxedn	173	9	that	that	SCONJ
cord-121428-79wyxedn	173	10	the	the	DET
cord-121428-79wyxedn	173	11	typical	typical	ADJ
cord-121428-79wyxedn	173	12	time	time	NOUN
cord-121428-79wyxedn	173	13	to	to	PART
cord-121428-79wyxedn	173	14	consider	consider	VERB
cord-121428-79wyxedn	173	15	is	be	AUX
cord-121428-79wyxedn	173	16	τ	τ	NOUN
cord-121428-79wyxedn	173	17	1	1	NUM
cord-121428-79wyxedn	173	18	,	,	PUNCT
cord-121428-79wyxedn	173	19	which	which	PRON
cord-121428-79wyxedn	173	20	identifies	identify	VERB
cord-121428-79wyxedn	173	21	a	a	DET
cord-121428-79wyxedn	173	22	faster	fast	ADJ
cord-121428-79wyxedn	173	23	adaptation	adaptation	NOUN
cord-121428-79wyxedn	173	24	of	of	ADP
cord-121428-79wyxedn	173	25	individuals	individual	NOUN
cord-121428-79wyxedn	173	26	to	to	ADP
cord-121428-79wyxedn	173	27	social	social	ADJ
cord-121428-79wyxedn	173	28	contacts	contact	NOUN
cord-121428-79wyxedn	173	29	with	with	ADP
cord-121428-79wyxedn	173	30	respect	respect	NOUN
cord-121428-79wyxedn	173	31	to	to	ADP
cord-121428-79wyxedn	173	32	the	the	DET
cord-121428-79wyxedn	173	33	evolution	evolution	NOUN
cord-121428-79wyxedn	173	34	time	time	NOUN
cord-121428-79wyxedn	173	35	of	of	ADP
cord-121428-79wyxedn	173	36	the	the	DET
cord-121428-79wyxedn	173	37	epidemic	epidemic	NOUN
cord-121428-79wyxedn	173	38	disease	disease	NOUN
cord-121428-79wyxedn	173	39	.	.	PUNCT
cord-121428-79wyxedn	174	1	since	since	SCONJ
cord-121428-79wyxedn	174	2	the	the	DET
cord-121428-79wyxedn	174	3	operatorq	operatorq	PROPN
cord-121428-79wyxedn	174	4	s	s	PROPN
cord-121428-79wyxedn	174	5	is	be	AUX
cord-121428-79wyxedn	174	6	mass	mass	NOUN
cord-121428-79wyxedn	174	7	preserving	preserving	NOUN
cord-121428-79wyxedn	174	8	,	,	PUNCT
cord-121428-79wyxedn	174	9	in	in	ADP
cord-121428-79wyxedn	174	10	the	the	DET
cord-121428-79wyxedn	174	11	considered	consider	VERB
cord-121428-79wyxedn	174	12	time	time	NOUN
cord-121428-79wyxedn	174	13	interval	interval	NOUN
cord-121428-79wyxedn	174	14	the	the	DET
cord-121428-79wyxedn	174	15	relaxation	relaxation	NOUN
cord-121428-79wyxedn	174	16	(	(	PUNCT
cord-121428-79wyxedn	174	17	27	27	NUM
cord-121428-79wyxedn	174	18	)	)	PUNCT
cord-121428-79wyxedn	174	19	with	with	ADP
cord-121428-79wyxedn	174	20	a	a	DET
cord-121428-79wyxedn	174	21	value	value	NOUN
cord-121428-79wyxedn	174	22	τ	τ	NOUN
cord-121428-79wyxedn	174	23	1	1	NUM
cord-121428-79wyxedn	174	24	pushes	push	VERB
cord-121428-79wyxedn	174	25	the	the	DET
cord-121428-79wyxedn	174	26	solution	solution	NOUN
cord-121428-79wyxedn	174	27	of	of	ADP
cord-121428-79wyxedn	174	28	equation	equation	NOUN
cord-121428-79wyxedn	174	29	(	(	PUNCT
cord-121428-79wyxedn	174	30	24	24	NUM
cord-121428-79wyxedn	174	31	)	)	PUNCT
cord-121428-79wyxedn	174	32	towards	towards	ADP
cord-121428-79wyxedn	174	33	the	the	DET
cord-121428-79wyxedn	174	34	gamma	gamma	PROPN
cord-121428-79wyxedn	174	35	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	174	36	density	density	NOUN
cord-121428-79wyxedn	174	37	with	with	ADP
cord-121428-79wyxedn	174	38	the	the	DET
cord-121428-79wyxedn	174	39	same	same	ADJ
cord-121428-79wyxedn	174	40	mass	mass	NOUN
cord-121428-79wyxedn	174	41	fraction	fraction	NOUN
cord-121428-79wyxedn	174	42	s(t	s(t	PROPN
cord-121428-79wyxedn	174	43	)	)	PUNCT
cord-121428-79wyxedn	174	44	of	of	ADP
cord-121428-79wyxedn	174	45	the	the	DET
cord-121428-79wyxedn	174	46	initial	initial	ADJ
cord-121428-79wyxedn	174	47	datum	datum	NOUN
cord-121428-79wyxedn	174	48	,	,	PUNCT
cord-121428-79wyxedn	174	49	and	and	CCONJ
cord-121428-79wyxedn	174	50	momentum	momentum	NOUN
cord-121428-79wyxedn	174	51	m	m	PROPN
cord-121428-79wyxedn	174	52	s	s	PROPN
cord-121428-79wyxedn	174	53	(	(	PUNCT
cord-121428-79wyxedn	174	54	t	t	NOUN
cord-121428-79wyxedn	174	55	+	+	X
cord-121428-79wyxedn	174	56	∆t	∆t	PUNCT
cord-121428-79wyxedn	174	57	)	)	PUNCT
cord-121428-79wyxedn	174	58	=	=	NOUN
cord-121428-79wyxedn	174	59	x	x	X
cord-121428-79wyxedn	174	60	s	s	X
cord-121428-79wyxedn	174	61	s(t)h(i(t	s(t)h(i(t	X
cord-121428-79wyxedn	174	62	)	)	PUNCT
cord-121428-79wyxedn	174	63	)	)	PUNCT
cord-121428-79wyxedn	174	64	,	,	PUNCT
cord-121428-79wyxedn	174	65	(	(	PUNCT
cord-121428-79wyxedn	174	66	29	29	NUM
cord-121428-79wyxedn	174	67	)	)	PUNCT
cord-121428-79wyxedn	174	68	as	as	SCONJ
cord-121428-79wyxedn	174	69	it	it	PRON
cord-121428-79wyxedn	174	70	can	can	AUX
cord-121428-79wyxedn	174	71	be	be	AUX
cord-121428-79wyxedn	174	72	easily	easily	ADV
cord-121428-79wyxedn	174	73	verified	verify	VERB
cord-121428-79wyxedn	174	74	from	from	ADP
cord-121428-79wyxedn	174	75	the	the	DET
cord-121428-79wyxedn	174	76	differential	differential	ADJ
cord-121428-79wyxedn	174	77	expression	expression	NOUN
cord-121428-79wyxedn	174	78	of	of	ADP
cord-121428-79wyxedn	174	79	the	the	DET
cord-121428-79wyxedn	174	80	interaction	interaction	NOUN
cord-121428-79wyxedn	174	81	operatorq	operatorq	PROPN
cord-121428-79wyxedn	174	82	s	s	PROPN
cord-121428-79wyxedn	174	83	.	.	PUNCT
cord-121428-79wyxedn	175	1	indeed	indeed	ADV
cord-121428-79wyxedn	175	2	,	,	PUNCT
cord-121428-79wyxedn	175	3	if	if	SCONJ
cord-121428-79wyxedn	175	4	τ	τ	PROPN
cord-121428-79wyxedn	175	5	1	1	NUM
cord-121428-79wyxedn	175	6	is	be	AUX
cord-121428-79wyxedn	175	7	sufficiently	sufficiently	ADV
cord-121428-79wyxedn	175	8	small	small	ADJ
cord-121428-79wyxedn	175	9	,	,	PUNCT
cord-121428-79wyxedn	175	10	one	one	PRON
cord-121428-79wyxedn	175	11	can	can	AUX
cord-121428-79wyxedn	175	12	easily	easily	ADV
cord-121428-79wyxedn	175	13	argue	argue	VERB
cord-121428-79wyxedn	175	14	from	from	ADP
cord-121428-79wyxedn	175	15	the	the	DET
cord-121428-79wyxedn	175	16	exponential	exponential	ADJ
cord-121428-79wyxedn	175	17	convergence	convergence	NOUN
cord-121428-79wyxedn	175	18	of	of	ADP
cord-121428-79wyxedn	175	19	the	the	DET
cord-121428-79wyxedn	175	20	solution	solution	NOUN
cord-121428-79wyxedn	175	21	to	to	ADP
cord-121428-79wyxedn	175	22	(	(	PUNCT
cord-121428-79wyxedn	175	23	24	24	NUM
cord-121428-79wyxedn	175	24	)	)	PUNCT
cord-121428-79wyxedn	175	25	towards	towards	ADP
cord-121428-79wyxedn	175	26	the	the	DET
cord-121428-79wyxedn	175	27	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	175	28	[	[	PUNCT
cord-121428-79wyxedn	175	29	47	47	NUM
cord-121428-79wyxedn	175	30	]	]	PUNCT
cord-121428-79wyxedn	175	31	,	,	PUNCT
cord-121428-79wyxedn	175	32	that	that	SCONJ
cord-121428-79wyxedn	175	33	the	the	DET
cord-121428-79wyxedn	175	34	solution	solution	NOUN
cord-121428-79wyxedn	175	35	f	f	PROPN
cord-121428-79wyxedn	175	36	s	s	PROPN
cord-121428-79wyxedn	175	37	(	(	PUNCT
cord-121428-79wyxedn	175	38	x	x	INTJ
cord-121428-79wyxedn	175	39	,	,	PUNCT
cord-121428-79wyxedn	175	40	t	t	NOUN
cord-121428-79wyxedn	175	41	+	+	NOUN
cord-121428-79wyxedn	175	42	∆t	∆t	PROPN
cord-121428-79wyxedn	175	43	)	)	PUNCT
cord-121428-79wyxedn	175	44	is	be	AUX
cord-121428-79wyxedn	175	45	sufficiently	sufficiently	ADV
cord-121428-79wyxedn	175	46	close	close	ADJ
cord-121428-79wyxedn	175	47	to	to	ADP
cord-121428-79wyxedn	175	48	the	the	DET
cord-121428-79wyxedn	175	49	gamma	gamma	NOUN
cord-121428-79wyxedn	175	50	density	density	NOUN
cord-121428-79wyxedn	175	51	with	with	ADP
cord-121428-79wyxedn	175	52	mass	mass	PROPN
cord-121428-79wyxedn	175	53	s(t	s(t	PROPN
cord-121428-79wyxedn	175	54	)	)	PUNCT
cord-121428-79wyxedn	175	55	and	and	CCONJ
cord-121428-79wyxedn	175	56	momentum	momentum	NOUN
cord-121428-79wyxedn	175	57	given	give	VERB
cord-121428-79wyxedn	175	58	by	by	ADP
cord-121428-79wyxedn	175	59	(	(	PUNCT
cord-121428-79wyxedn	175	60	29	29	NUM
cord-121428-79wyxedn	175	61	)	)	PUNCT
cord-121428-79wyxedn	175	62	,	,	PUNCT
cord-121428-79wyxedn	175	63	and	and	CCONJ
cord-121428-79wyxedn	175	64	this	this	DET
cord-121428-79wyxedn	175	65	density	density	NOUN
cord-121428-79wyxedn	175	66	can	can	AUX
cord-121428-79wyxedn	175	67	be	be	AUX
cord-121428-79wyxedn	175	68	used	use	VERB
cord-121428-79wyxedn	175	69	into	into	ADP
cord-121428-79wyxedn	175	70	the	the	DET
cord-121428-79wyxedn	175	71	sir	sir	NOUN
cord-121428-79wyxedn	175	72	step	step	NOUN
cord-121428-79wyxedn	175	73	(	(	PUNCT
cord-121428-79wyxedn	175	74	28	28	NUM
cord-121428-79wyxedn	175	75	)	)	PUNCT
cord-121428-79wyxedn	175	76	to	to	PART
cord-121428-79wyxedn	175	77	close	close	VERB
cord-121428-79wyxedn	175	78	the	the	DET
cord-121428-79wyxedn	175	79	splitted	splitte	VERB
cord-121428-79wyxedn	175	80	system	system	NOUN
cord-121428-79wyxedn	175	81	(	(	PUNCT
cord-121428-79wyxedn	175	82	24)(28	24)(28	NUM
cord-121428-79wyxedn	175	83	)	)	PUNCT
cord-121428-79wyxedn	175	84	.	.	PUNCT
cord-121428-79wyxedn	176	1	analogous	analogous	ADJ
cord-121428-79wyxedn	176	2	procedure	procedure	NOUN
cord-121428-79wyxedn	176	3	can	can	AUX
cord-121428-79wyxedn	176	4	be	be	AUX
cord-121428-79wyxedn	176	5	done	do	VERB
cord-121428-79wyxedn	176	6	with	with	ADP
cord-121428-79wyxedn	176	7	the	the	DET
cord-121428-79wyxedn	176	8	second	second	ADJ
cord-121428-79wyxedn	176	9	equation	equation	NOUN
cord-121428-79wyxedn	176	10	in	in	ADP
cord-121428-79wyxedn	176	11	system	system	NOUN
cord-121428-79wyxedn	176	12	(	(	PUNCT
cord-121428-79wyxedn	176	13	21	21	NUM
cord-121428-79wyxedn	176	14	)	)	PUNCT
cord-121428-79wyxedn	176	15	,	,	PUNCT
cord-121428-79wyxedn	176	16	which	which	PRON
cord-121428-79wyxedn	176	17	leads	lead	VERB
cord-121428-79wyxedn	176	18	to	to	ADP
cord-121428-79wyxedn	176	19	relaxation	relaxation	NOUN
cord-121428-79wyxedn	176	20	towards	towards	ADP
cord-121428-79wyxedn	176	21	a	a	DET
cord-121428-79wyxedn	176	22	gamma	gamma	NOUN
cord-121428-79wyxedn	176	23	density	density	NOUN
cord-121428-79wyxedn	176	24	with	with	ADP
cord-121428-79wyxedn	176	25	mass	mass	ADJ
cord-121428-79wyxedn	176	26	fraction	fraction	NOUN
cord-121428-79wyxedn	176	27	i(t	i(t	PROPN
cord-121428-79wyxedn	176	28	)	)	PUNCT
cord-121428-79wyxedn	176	29	and	and	CCONJ
cord-121428-79wyxedn	176	30	momentum	momentum	NOUN
cord-121428-79wyxedn	176	31	given	give	VERB
cord-121428-79wyxedn	176	32	by	by	ADP
cord-121428-79wyxedn	176	33	consequently	consequently	ADV
cord-121428-79wyxedn	176	34	,	,	PUNCT
cord-121428-79wyxedn	176	35	substituting	substitute	VERB
cord-121428-79wyxedn	176	36	into	into	ADP
cord-121428-79wyxedn	176	37	system	system	NOUN
cord-121428-79wyxedn	176	38	(	(	PUNCT
cord-121428-79wyxedn	176	39	22	22	NUM
cord-121428-79wyxedn	176	40	)	)	PUNCT
cord-121428-79wyxedn	176	41	we	we	PRON
cord-121428-79wyxedn	176	42	obtain	obtain	VERB
cord-121428-79wyxedn	176	43	the	the	DET
cord-121428-79wyxedn	176	44	closed	closed	ADJ
cord-121428-79wyxedn	176	45	system	system	NOUN
cord-121428-79wyxedn	176	46	(	(	PUNCT
cord-121428-79wyxedn	176	47	26	26	NUM
cord-121428-79wyxedn	176	48	)	)	PUNCT
cord-121428-79wyxedn	176	49	.	.	PUNCT
cord-121428-79wyxedn	177	1	it	it	PRON
cord-121428-79wyxedn	177	2	remains	remain	VERB
cord-121428-79wyxedn	177	3	to	to	PART
cord-121428-79wyxedn	177	4	quantify	quantify	VERB
cord-121428-79wyxedn	177	5	the	the	DET
cord-121428-79wyxedn	177	6	action	action	NOUN
cord-121428-79wyxedn	177	7	of	of	ADP
cord-121428-79wyxedn	177	8	the	the	DET
cord-121428-79wyxedn	177	9	social	social	ADJ
cord-121428-79wyxedn	177	10	contacts	contact	NOUN
cord-121428-79wyxedn	177	11	on	on	ADP
cord-121428-79wyxedn	177	12	the	the	DET
cord-121428-79wyxedn	177	13	evolution	evolution	NOUN
cord-121428-79wyxedn	177	14	of	of	ADP
cord-121428-79wyxedn	177	15	the	the	DET
cord-121428-79wyxedn	177	16	epidemic	epidemic	NOUN
cord-121428-79wyxedn	177	17	.	.	PUNCT
cord-121428-79wyxedn	178	1	for	for	ADP
cord-121428-79wyxedn	178	2	this	this	DET
cord-121428-79wyxedn	178	3	reason	reason	NOUN
cord-121428-79wyxedn	178	4	,	,	PUNCT
cord-121428-79wyxedn	178	5	let	let	VERB
cord-121428-79wyxedn	178	6	us	we	PRON
cord-121428-79wyxedn	178	7	introduce	introduce	VERB
cord-121428-79wyxedn	178	8	for	for	ADP
cord-121428-79wyxedn	178	9	a	a	DET
cord-121428-79wyxedn	178	10	given	give	VERB
cord-121428-79wyxedn	178	11	constant	constant	ADJ
cord-121428-79wyxedn	178	12	n	n	ADV
cord-121428-79wyxedn	178	13	1	1	NUM
cord-121428-79wyxedn	178	14	the	the	DET
cord-121428-79wyxedn	178	15	decreasing	decrease	VERB
cord-121428-79wyxedn	178	16	function	function	NOUN
cord-121428-79wyxedn	178	17	[	[	PUNCT
cord-121428-79wyxedn	178	18	33	33	NUM
cord-121428-79wyxedn	178	19	]	]	PUNCT
cord-121428-79wyxedn	178	20	which	which	PRON
cord-121428-79wyxedn	178	21	describes	describe	VERB
cord-121428-79wyxedn	178	22	a	a	DET
cord-121428-79wyxedn	178	23	possible	possible	ADJ
cord-121428-79wyxedn	178	24	way	way	NOUN
cord-121428-79wyxedn	178	25	in	in	ADP
cord-121428-79wyxedn	178	26	which	which	PRON
cord-121428-79wyxedn	178	27	,	,	PUNCT
cord-121428-79wyxedn	178	28	in	in	ADP
cord-121428-79wyxedn	178	29	presence	presence	NOUN
cord-121428-79wyxedn	178	30	of	of	ADP
cord-121428-79wyxedn	178	31	the	the	DET
cord-121428-79wyxedn	178	32	spread	spread	NOUN
cord-121428-79wyxedn	178	33	of	of	ADP
cord-121428-79wyxedn	178	34	the	the	DET
cord-121428-79wyxedn	178	35	disease	disease	NOUN
cord-121428-79wyxedn	178	36	,	,	PUNCT
cord-121428-79wyxedn	178	37	the	the	DET
cord-121428-79wyxedn	178	38	susceptible	susceptible	ADJ
cord-121428-79wyxedn	178	39	and	and	CCONJ
cord-121428-79wyxedn	178	40	the	the	DET
cord-121428-79wyxedn	178	41	infected	infect	VERB
cord-121428-79wyxedn	178	42	population	population	NOUN
cord-121428-79wyxedn	178	43	tend	tend	VERB
cord-121428-79wyxedn	178	44	to	to	PART
cord-121428-79wyxedn	178	45	reduce	reduce	VERB
cord-121428-79wyxedn	178	46	the	the	DET
cord-121428-79wyxedn	178	47	mean	mean	ADJ
cord-121428-79wyxedn	178	48	number	number	NOUN
cord-121428-79wyxedn	178	49	of	of	ADP
cord-121428-79wyxedn	178	50	daily	daily	ADJ
cord-121428-79wyxedn	178	51	social	social	ADJ
cord-121428-79wyxedn	178	52	contactsx	contactsx	PROPN
cord-121428-79wyxedn	178	53	j	j	PROPN
cord-121428-79wyxedn	178	54	,	,	PUNCT
cord-121428-79wyxedn	178	55	j	j	PROPN
cord-121428-79wyxedn	178	56	∈	∈	PROPN
cord-121428-79wyxedn	178	57	{	{	PUNCT
cord-121428-79wyxedn	178	58	s	s	PROPN
cord-121428-79wyxedn	178	59	,	,	PUNCT
cord-121428-79wyxedn	178	60	i	i	PRON
cord-121428-79wyxedn	178	61	}	}	PUNCT
cord-121428-79wyxedn	178	62	.	.	PUNCT
cord-121428-79wyxedn	179	1	this	this	DET
cord-121428-79wyxedn	179	2	choice	choice	NOUN
cord-121428-79wyxedn	179	3	produces	produce	VERB
cord-121428-79wyxedn	179	4	a	a	DET
cord-121428-79wyxedn	179	5	sir	sir	NOUN
cord-121428-79wyxedn	179	6	model	model	NOUN
cord-121428-79wyxedn	179	7	with	with	ADP
cord-121428-79wyxedn	179	8	global	global	ADJ
cord-121428-79wyxedn	179	9	incidence	incidence	NOUN
cord-121428-79wyxedn	179	10	rate	rate	NOUN
cord-121428-79wyxedn	179	11	that	that	PRON
cord-121428-79wyxedn	179	12	fulfils	fulfil	VERB
cord-121428-79wyxedn	179	13	all	all	DET
cord-121428-79wyxedn	179	14	the	the	DET
cord-121428-79wyxedn	179	15	properties	property	NOUN
cord-121428-79wyxedn	179	16	required	require	VERB
cord-121428-79wyxedn	179	17	by	by	ADP
cord-121428-79wyxedn	179	18	the	the	DET
cord-121428-79wyxedn	179	19	non	non	ADJ
cord-121428-79wyxedn	179	20	-	-	ADJ
cord-121428-79wyxedn	179	21	linear	linear	ADJ
cord-121428-79wyxedn	179	22	incidence	incidence	NOUN
cord-121428-79wyxedn	179	23	rates	rate	NOUN
cord-121428-79wyxedn	179	24	considered	consider	VERB
cord-121428-79wyxedn	179	25	in	in	ADP
cord-121428-79wyxedn	179	26	[	[	X
cord-121428-79wyxedn	179	27	33	33	NUM
cord-121428-79wyxedn	179	28	]	]	PUNCT
cord-121428-79wyxedn	179	29	.	.	PUNCT
cord-121428-79wyxedn	180	1	for	for	ADP
cord-121428-79wyxedn	180	2	all	all	DET
cord-121428-79wyxedn	180	3	s	s	NOUN
cord-121428-79wyxedn	180	4	,	,	PUNCT
cord-121428-79wyxedn	180	5	i	i	NOUN
cord-121428-79wyxedn	180	6	>	>	X
cord-121428-79wyxedn	180	7	0	0	NUM
cord-121428-79wyxedn	180	8	.	.	PUNCT
cord-121428-79wyxedn	181	1	in	in	ADP
cord-121428-79wyxedn	181	2	addition	addition	NOUN
cord-121428-79wyxedn	181	3	to	to	ADP
cord-121428-79wyxedn	181	4	the	the	DET
cord-121428-79wyxedn	181	5	form	form	NOUN
cord-121428-79wyxedn	181	6	(	(	PUNCT
cord-121428-79wyxedn	181	7	31	31	NUM
cord-121428-79wyxedn	181	8	)	)	PUNCT
cord-121428-79wyxedn	181	9	,	,	PUNCT
cord-121428-79wyxedn	181	10	we	we	PRON
cord-121428-79wyxedn	181	11	can	can	AUX
cord-121428-79wyxedn	181	12	also	also	ADV
cord-121428-79wyxedn	181	13	consider	consider	VERB
cord-121428-79wyxedn	181	14	the	the	DET
cord-121428-79wyxedn	181	15	following	follow	VERB
cord-121428-79wyxedn	181	16	function	function	NOUN
cord-121428-79wyxedn	181	17	this	this	DET
cord-121428-79wyxedn	181	18	function	function	NOUN
cord-121428-79wyxedn	181	19	satisfies	satisfy	VERB
cord-121428-79wyxedn	181	20	the	the	DET
cord-121428-79wyxedn	181	21	same	same	ADJ
cord-121428-79wyxedn	181	22	properties	property	NOUN
cord-121428-79wyxedn	181	23	than	than	ADP
cord-121428-79wyxedn	181	24	(	(	PUNCT
cord-121428-79wyxedn	181	25	31	31	NUM
cord-121428-79wyxedn	181	26	)	)	PUNCT
cord-121428-79wyxedn	181	27	in	in	ADP
cord-121428-79wyxedn	181	28	terms	term	NOUN
cord-121428-79wyxedn	181	29	of	of	ADP
cord-121428-79wyxedn	181	30	the	the	DET
cord-121428-79wyxedn	181	31	incidence	incidence	NOUN
cord-121428-79wyxedn	181	32	rate	rate	NOUN
cord-121428-79wyxedn	181	33	requests	request	NOUN
cord-121428-79wyxedn	181	34	detailed	detail	VERB
cord-121428-79wyxedn	181	35	in	in	ADP
cord-121428-79wyxedn	181	36	[	[	X
cord-121428-79wyxedn	181	37	33	33	NUM
cord-121428-79wyxedn	181	38	]	]	PUNCT
cord-121428-79wyxedn	181	39	and	and	CCONJ
cord-121428-79wyxedn	181	40	takes	take	VERB
cord-121428-79wyxedn	181	41	into	into	ADP
cord-121428-79wyxedn	181	42	account	account	NOUN
cord-121428-79wyxedn	181	43	memory	memory	NOUN
cord-121428-79wyxedn	181	44	effects	effect	NOUN
cord-121428-79wyxedn	181	45	on	on	ADP
cord-121428-79wyxedn	181	46	the	the	DET
cord-121428-79wyxedn	181	47	population	population	NOUN
cord-121428-79wyxedn	181	48	's	's	PART
cord-121428-79wyxedn	181	49	behavior	behavior	NOUN
cord-121428-79wyxedn	181	50	.	.	PUNCT
cord-121428-79wyxedn	182	1	in	in	ADP
cord-121428-79wyxedn	182	2	fact	fact	NOUN
cord-121428-79wyxedn	182	3	,	,	PUNCT
cord-121428-79wyxedn	182	4	people	people	NOUN
cord-121428-79wyxedn	182	5	may	may	AUX
cord-121428-79wyxedn	182	6	adapt	adapt	VERB
cord-121428-79wyxedn	182	7	their	their	PRON
cord-121428-79wyxedn	182	8	life	life	NOUN
cord-121428-79wyxedn	182	9	style	style	NOUN
cord-121428-79wyxedn	182	10	in	in	ADP
cord-121428-79wyxedn	182	11	terms	term	NOUN
cord-121428-79wyxedn	182	12	of	of	ADP
cord-121428-79wyxedn	182	13	possible	possible	ADJ
cord-121428-79wyxedn	182	14	daily	daily	ADJ
cord-121428-79wyxedn	182	15	contacts	contact	NOUN
cord-121428-79wyxedn	182	16	to	to	PART
cord-121428-79wyxedn	182	17	answer	answer	VERB
cord-121428-79wyxedn	182	18	to	to	ADP
cord-121428-79wyxedn	182	19	the	the	DET
cord-121428-79wyxedn	182	20	actual	actual	ADJ
cord-121428-79wyxedn	182	21	pandemic	pandemic	ADJ
cord-121428-79wyxedn	182	22	situation	situation	NOUN
cord-121428-79wyxedn	182	23	as	as	SCONJ
cord-121428-79wyxedn	182	24	to	to	PART
cord-121428-79wyxedn	182	25	conclude	conclude	VERB
cord-121428-79wyxedn	182	26	,	,	PUNCT
cord-121428-79wyxedn	182	27	let	let	VERB
cord-121428-79wyxedn	182	28	us	we	PRON
cord-121428-79wyxedn	182	29	introduce	introduce	VERB
cord-121428-79wyxedn	182	30	the	the	DET
cord-121428-79wyxedn	182	31	basic	basic	ADJ
cord-121428-79wyxedn	182	32	reproduction	reproduction	NOUN
cord-121428-79wyxedn	182	33	number	number	NOUN
cord-121428-79wyxedn	182	34	r	r	NOUN
cord-121428-79wyxedn	182	35	0	0	NUM
cord-121428-79wyxedn	182	36	of	of	ADP
cord-121428-79wyxedn	182	37	this	this	DET
cord-121428-79wyxedn	182	38	model	model	NOUN
cord-121428-79wyxedn	182	39	,	,	PUNCT
cord-121428-79wyxedn	182	40	i.e.	i.e.	X
cord-121428-79wyxedn	182	41	the	the	DET
cord-121428-79wyxedn	182	42	average	average	ADJ
cord-121428-79wyxedn	182	43	number	number	NOUN
cord-121428-79wyxedn	182	44	of	of	ADP
cord-121428-79wyxedn	182	45	secondary	secondary	ADJ
cord-121428-79wyxedn	182	46	cases	case	NOUN
cord-121428-79wyxedn	182	47	produced	produce	VERB
cord-121428-79wyxedn	182	48	by	by	ADP
cord-121428-79wyxedn	182	49	a	a	DET
cord-121428-79wyxedn	182	50	single	single	ADJ
cord-121428-79wyxedn	182	51	infected	infect	VERB
cord-121428-79wyxedn	182	52	agent	agent	NOUN
cord-121428-79wyxedn	182	53	introduced	introduce	VERB
cord-121428-79wyxedn	182	54	into	into	ADP
cord-121428-79wyxedn	182	55	an	an	DET
cord-121428-79wyxedn	182	56	entirely	entirely	ADV
cord-121428-79wyxedn	182	57	susceptible	susceptible	ADJ
cord-121428-79wyxedn	182	58	population	population	NOUN
cord-121428-79wyxedn	182	59	.	.	PUNCT
cord-121428-79wyxedn	183	1	this	this	PRON
cord-121428-79wyxedn	183	2	is	be	AUX
cord-121428-79wyxedn	183	3	given	give	VERB
cord-121428-79wyxedn	183	4	by	by	ADP
cord-121428-79wyxedn	183	5	where	where	SCONJ
cord-121428-79wyxedn	183	6	γ	γ	PROPN
cord-121428-79wyxedn	183	7	is	be	AUX
cord-121428-79wyxedn	183	8	the	the	DET
cord-121428-79wyxedn	183	9	recovery	recovery	NOUN
cord-121428-79wyxedn	183	10	rate	rate	NOUN
cord-121428-79wyxedn	183	11	of	of	ADP
cord-121428-79wyxedn	183	12	infected	infect	VERB
cord-121428-79wyxedn	183	13	.	.	PUNCT
cord-121428-79wyxedn	184	1	according	accord	VERB
cord-121428-79wyxedn	184	2	to	to	ADP
cord-121428-79wyxedn	184	3	the	the	DET
cord-121428-79wyxedn	184	4	analysis	analysis	NOUN
cord-121428-79wyxedn	184	5	of	of	ADP
cord-121428-79wyxedn	184	6	[	[	X
cord-121428-79wyxedn	184	7	33	33	NUM
cord-121428-79wyxedn	184	8	]	]	PUNCT
cord-121428-79wyxedn	184	9	,	,	PUNCT
cord-121428-79wyxedn	184	10	an	an	DET
cord-121428-79wyxedn	184	11	autonomous	autonomous	ADJ
cord-121428-79wyxedn	184	12	compartmental	compartmental	NOUN
cord-121428-79wyxedn	184	13	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	184	14	model	model	NOUN
cord-121428-79wyxedn	184	15	with	with	ADP
cord-121428-79wyxedn	184	16	the	the	DET
cord-121428-79wyxedn	184	17	non	non	ADJ
cord-121428-79wyxedn	184	18	-	-	ADJ
cord-121428-79wyxedn	184	19	linear	linear	ADJ
cord-121428-79wyxedn	184	20	incidence	incidence	NOUN
cord-121428-79wyxedn	184	21	rate	rate	NOUN
cord-121428-79wyxedn	184	22	(	(	PUNCT
cord-121428-79wyxedn	184	23	32	32	NUM
cord-121428-79wyxedn	184	24	)	)	PUNCT
cord-121428-79wyxedn	184	25	under	under	ADP
cord-121428-79wyxedn	184	26	the	the	DET
cord-121428-79wyxedn	184	27	constant	constant	ADJ
cord-121428-79wyxedn	184	28	population	population	NOUN
cord-121428-79wyxedn	184	29	size	size	NOUN
cord-121428-79wyxedn	184	30	assumption	assumption	NOUN
cord-121428-79wyxedn	184	31	is	be	AUX
cord-121428-79wyxedn	184	32	stable	stable	ADJ
cord-121428-79wyxedn	184	33	.	.	PUNCT
cord-121428-79wyxedn	185	1	such	such	ADJ
cord-121428-79wyxedn	185	2	system	system	NOUN
cord-121428-79wyxedn	185	3	has	have	VERB
cord-121428-79wyxedn	185	4	either	either	CCONJ
cord-121428-79wyxedn	185	5	a	a	DET
cord-121428-79wyxedn	185	6	unique	unique	ADJ
cord-121428-79wyxedn	185	7	and	and	CCONJ
cord-121428-79wyxedn	185	8	stable	stable	ADJ
cord-121428-79wyxedn	185	9	endemic	endemic	ADJ
cord-121428-79wyxedn	185	10	equilibrium	equilibrium	PROPN
cord-121428-79wyxedn	185	11	state	state	NOUN
cord-121428-79wyxedn	185	12	or	or	CCONJ
cord-121428-79wyxedn	185	13	no	no	DET
cord-121428-79wyxedn	185	14	endemic	endemic	ADJ
cord-121428-79wyxedn	185	15	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	185	16	state	state	NOUN
cord-121428-79wyxedn	185	17	at	at	ADV
cord-121428-79wyxedn	185	18	all	all	ADV
cord-121428-79wyxedn	185	19	.	.	PUNCT
cord-121428-79wyxedn	186	1	since	since	SCONJ
cord-121428-79wyxedn	186	2	the	the	DET
cord-121428-79wyxedn	186	3	incidence	incidence	NOUN
cord-121428-79wyxedn	186	4	rate	rate	NOUN
cord-121428-79wyxedn	186	5	d(s	d(s	PROPN
cord-121428-79wyxedn	186	6	,	,	PUNCT
cord-121428-79wyxedn	186	7	i	i	NOUN
cord-121428-79wyxedn	186	8	)	)	PUNCT
cord-121428-79wyxedn	186	9	satisfies	satisfy	VERB
cord-121428-79wyxedn	186	10	the	the	DET
cord-121428-79wyxedn	186	11	conditions	condition	NOUN
cord-121428-79wyxedn	186	12	(	(	PUNCT
cord-121428-79wyxedn	186	13	33)(34	33)(34	NUM
cord-121428-79wyxedn	186	14	)	)	PUNCT
cord-121428-79wyxedn	186	15	,	,	PUNCT
cord-121428-79wyxedn	186	16	if	if	SCONJ
cord-121428-79wyxedn	186	17	r	r	NOUN
cord-121428-79wyxedn	186	18	0	0	PUNCT
cord-121428-79wyxedn	186	19	>	>	SYM
cord-121428-79wyxedn	186	20	1	1	NUM
cord-121428-79wyxedn	186	21	,	,	PUNCT
cord-121428-79wyxedn	186	22	then	then	ADV
cord-121428-79wyxedn	186	23	the	the	DET
cord-121428-79wyxedn	186	24	endemic	endemic	ADJ
cord-121428-79wyxedn	186	25	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	186	26	state	state	NOUN
cord-121428-79wyxedn	186	27	q	q	NOUN
cord-121428-79wyxedn	186	28	*	*	PUNCT
cord-121428-79wyxedn	186	29	=	=	NOUN
cord-121428-79wyxedn	186	30	(	(	PUNCT
cord-121428-79wyxedn	186	31	s	s	NOUN
cord-121428-79wyxedn	186	32	*	*	PUNCT
cord-121428-79wyxedn	186	33	,	,	PUNCT
cord-121428-79wyxedn	186	34	i	i	PRON
cord-121428-79wyxedn	186	35	*	*	PUNCT
cord-121428-79wyxedn	186	36	)	)	PUNCT
cord-121428-79wyxedn	186	37	of	of	ADP
cord-121428-79wyxedn	186	38	system	system	NOUN
cord-121428-79wyxedn	186	39	(	(	PUNCT
cord-121428-79wyxedn	186	40	26	26	NUM
cord-121428-79wyxedn	186	41	)	)	PUNCT
cord-121428-79wyxedn	186	42	is	be	AUX
cord-121428-79wyxedn	186	43	asymptotically	asymptotically	ADV
cord-121428-79wyxedn	186	44	stable	stable	ADJ
cord-121428-79wyxedn	186	45	.	.	PUNCT
cord-121428-79wyxedn	187	1	if	if	SCONJ
cord-121428-79wyxedn	187	2	r	r	NOUN
cord-121428-79wyxedn	187	3	0	0	NUM
cord-121428-79wyxedn	187	4	≤	≤	NOUN
cord-121428-79wyxedn	187	5	1	1	NUM
cord-121428-79wyxedn	187	6	,	,	PUNCT
cord-121428-79wyxedn	187	7	then	then	ADV
cord-121428-79wyxedn	187	8	there	there	PRON
cord-121428-79wyxedn	187	9	is	be	VERB
cord-121428-79wyxedn	187	10	no	no	DET
cord-121428-79wyxedn	187	11	endemic	endemic	ADJ
cord-121428-79wyxedn	187	12	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	187	13	state	state	NOUN
cord-121428-79wyxedn	187	14	,	,	PUNCT
cord-121428-79wyxedn	187	15	and	and	CCONJ
cord-121428-79wyxedn	187	16	the	the	DET
cord-121428-79wyxedn	187	17	infection	infection	NOUN
cord-121428-79wyxedn	187	18	-	-	PUNCT
cord-121428-79wyxedn	187	19	free	free	ADJ
cord-121428-79wyxedn	187	20	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	187	21	state	state	NOUN
cord-121428-79wyxedn	187	22	is	be	AUX
cord-121428-79wyxedn	187	23	asymptotically	asymptotically	ADV
cord-121428-79wyxedn	187	24	stable	stable	ADJ
cord-121428-79wyxedn	187	25	.	.	PUNCT
cord-121428-79wyxedn	188	1	in	in	ADP
cord-121428-79wyxedn	188	2	addition	addition	NOUN
cord-121428-79wyxedn	188	3	to	to	ADP
cord-121428-79wyxedn	188	4	analytic	analytic	ADJ
cord-121428-79wyxedn	188	5	expressions	expression	NOUN
cord-121428-79wyxedn	188	6	,	,	PUNCT
cord-121428-79wyxedn	188	7	numerical	numerical	ADJ
cord-121428-79wyxedn	188	8	experiments	experiment	NOUN
cord-121428-79wyxedn	188	9	allow	allow	VERB
cord-121428-79wyxedn	188	10	us	we	PRON
cord-121428-79wyxedn	188	11	to	to	PART
cord-121428-79wyxedn	188	12	visualize	visualize	VERB
cord-121428-79wyxedn	188	13	and	and	CCONJ
cord-121428-79wyxedn	188	14	quantify	quantify	VERB
cord-121428-79wyxedn	188	15	the	the	DET
cord-121428-79wyxedn	188	16	effects	effect	NOUN
cord-121428-79wyxedn	188	17	of	of	ADP
cord-121428-79wyxedn	188	18	social	social	ADJ
cord-121428-79wyxedn	188	19	contacts	contact	NOUN
cord-121428-79wyxedn	188	20	on	on	ADP
cord-121428-79wyxedn	188	21	the	the	DET
cord-121428-79wyxedn	188	22	sir	sir	PROPN
cord-121428-79wyxedn	188	23	dynamics	dynamic	NOUN
cord-121428-79wyxedn	188	24	used	use	VERB
cord-121428-79wyxedn	188	25	to	to	PART
cord-121428-79wyxedn	188	26	describe	describe	VERB
cord-121428-79wyxedn	188	27	the	the	DET
cord-121428-79wyxedn	188	28	time	time	NOUN
cord-121428-79wyxedn	188	29	evolution	evolution	NOUN
cord-121428-79wyxedn	188	30	of	of	ADP
cord-121428-79wyxedn	188	31	the	the	DET
cord-121428-79wyxedn	188	32	epidemic	epidemic	NOUN
cord-121428-79wyxedn	188	33	.	.	PUNCT
cord-121428-79wyxedn	189	1	more	more	ADV
cord-121428-79wyxedn	189	2	precisely	precisely	ADV
cord-121428-79wyxedn	189	3	,	,	PUNCT
cord-121428-79wyxedn	189	4	starting	start	VERB
cord-121428-79wyxedn	189	5	from	from	ADP
cord-121428-79wyxedn	189	6	a	a	DET
cord-121428-79wyxedn	189	7	given	give	VERB
cord-121428-79wyxedn	189	8	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	189	9	distribution	distribution	NOUN
cord-121428-79wyxedn	189	10	detailing	detail	VERB
cord-121428-79wyxedn	189	11	in	in	ADP
cord-121428-79wyxedn	189	12	a	a	DET
cord-121428-79wyxedn	189	13	probability	probability	NOUN
cord-121428-79wyxedn	189	14	setting	set	VERB
cord-121428-79wyxedn	189	15	the	the	DET
cord-121428-79wyxedn	189	16	daily	daily	ADJ
cord-121428-79wyxedn	189	17	number	number	NOUN
cord-121428-79wyxedn	189	18	of	of	ADP
cord-121428-79wyxedn	189	19	contacts	contact	NOUN
cord-121428-79wyxedn	189	20	of	of	ADP
cord-121428-79wyxedn	189	21	the	the	DET
cord-121428-79wyxedn	189	22	population	population	NOUN
cord-121428-79wyxedn	189	23	,	,	PUNCT
cord-121428-79wyxedn	189	24	we	we	PRON
cord-121428-79wyxedn	189	25	show	show	VERB
cord-121428-79wyxedn	189	26	how	how	SCONJ
cord-121428-79wyxedn	189	27	the	the	DET
cord-121428-79wyxedn	189	28	coupling	coupling	NOUN
cord-121428-79wyxedn	189	29	between	between	ADP
cord-121428-79wyxedn	189	30	social	social	ADJ
cord-121428-79wyxedn	189	31	behaviors	behavior	NOUN
cord-121428-79wyxedn	189	32	and	and	CCONJ
cord-121428-79wyxedn	189	33	number	number	NOUN
cord-121428-79wyxedn	189	34	of	of	ADP
cord-121428-79wyxedn	189	35	infected	infected	ADJ
cord-121428-79wyxedn	189	36	people	people	NOUN
cord-121428-79wyxedn	189	37	may	may	AUX
cord-121428-79wyxedn	189	38	modify	modify	VERB
cord-121428-79wyxedn	189	39	the	the	DET
cord-121428-79wyxedn	189	40	epidemic	epidemic	NOUN
cord-121428-79wyxedn	189	41	by	by	ADP
cord-121428-79wyxedn	189	42	slowing	slow	VERB
cord-121428-79wyxedn	189	43	down	down	ADP
cord-121428-79wyxedn	189	44	the	the	DET
cord-121428-79wyxedn	189	45	number	number	NOUN
cord-121428-79wyxedn	189	46	of	of	ADP
cord-121428-79wyxedn	189	47	encounters	encounter	NOUN
cord-121428-79wyxedn	189	48	leading	lead	VERB
cord-121428-79wyxedn	189	49	to	to	ADP
cord-121428-79wyxedn	189	50	infection	infection	NOUN
cord-121428-79wyxedn	189	51	.	.	PUNCT
cord-121428-79wyxedn	190	1	in	in	ADP
cord-121428-79wyxedn	190	2	a	a	DET
cord-121428-79wyxedn	190	3	second	second	ADJ
cord-121428-79wyxedn	190	4	part	part	NOUN
cord-121428-79wyxedn	190	5	,	,	PUNCT
cord-121428-79wyxedn	190	6	we	we	PRON
cord-121428-79wyxedn	190	7	discuss	discuss	VERB
cord-121428-79wyxedn	190	8	how	how	SCONJ
cord-121428-79wyxedn	190	9	some	some	DET
cord-121428-79wyxedn	190	10	external	external	ADJ
cord-121428-79wyxedn	190	11	forcing	forcing	NOUN
cord-121428-79wyxedn	190	12	,	,	PUNCT
cord-121428-79wyxedn	190	13	mimicking	mimic	VERB
cord-121428-79wyxedn	190	14	political	political	ADJ
cord-121428-79wyxedn	190	15	choices	choice	NOUN
cord-121428-79wyxedn	190	16	and	and	CCONJ
cord-121428-79wyxedn	190	17	acting	act	VERB
cord-121428-79wyxedn	190	18	on	on	ADP
cord-121428-79wyxedn	190	19	restrictions	restriction	NOUN
cord-121428-79wyxedn	190	20	on	on	ADP
cord-121428-79wyxedn	190	21	the	the	DET
cord-121428-79wyxedn	190	22	mobility	mobility	NOUN
cord-121428-79wyxedn	190	23	,	,	PUNCT
cord-121428-79wyxedn	190	24	may	may	AUX
cord-121428-79wyxedn	190	25	additionally	additionally	ADV
cord-121428-79wyxedn	190	26	improve	improve	VERB
cord-121428-79wyxedn	190	27	the	the	DET
cord-121428-79wyxedn	190	28	reduction	reduction	NOUN
cord-121428-79wyxedn	190	29	of	of	ADP
cord-121428-79wyxedn	190	30	the	the	DET
cord-121428-79wyxedn	190	31	epidemic	epidemic	NOUN
cord-121428-79wyxedn	190	32	trend	trend	NOUN
cord-121428-79wyxedn	190	33	avoiding	avoid	VERB
cord-121428-79wyxedn	190	34	concentration	concentration	NOUN
cord-121428-79wyxedn	190	35	in	in	ADP
cord-121428-79wyxedn	190	36	time	time	NOUN
cord-121428-79wyxedn	190	37	of	of	ADP
cord-121428-79wyxedn	190	38	people	people	NOUN
cord-121428-79wyxedn	190	39	affected	affect	VERB
cord-121428-79wyxedn	190	40	by	by	ADP
cord-121428-79wyxedn	190	41	the	the	DET
cord-121428-79wyxedn	190	42	disease	disease	NOUN
cord-121428-79wyxedn	190	43	and	and	CCONJ
cord-121428-79wyxedn	190	44	then	then	ADV
cord-121428-79wyxedn	190	45	decreasing	decrease	VERB
cord-121428-79wyxedn	190	46	the	the	DET
cord-121428-79wyxedn	190	47	probability	probability	NOUN
cord-121428-79wyxedn	190	48	of	of	ADP
cord-121428-79wyxedn	190	49	hospitalization	hospitalization	NOUN
cord-121428-79wyxedn	190	50	peaks	peak	NOUN
cord-121428-79wyxedn	190	51	.	.	PUNCT
cord-121428-79wyxedn	191	1	in	in	ADP
cord-121428-79wyxedn	191	2	a	a	DET
cord-121428-79wyxedn	191	3	third	third	ADJ
cord-121428-79wyxedn	191	4	part	part	NOUN
cord-121428-79wyxedn	191	5	,	,	PUNCT
cord-121428-79wyxedn	191	6	we	we	PRON
cord-121428-79wyxedn	191	7	focus	focus	VERB
cord-121428-79wyxedn	191	8	on	on	ADP
cord-121428-79wyxedn	191	9	experimental	experimental	ADJ
cord-121428-79wyxedn	191	10	data	datum	NOUN
cord-121428-79wyxedn	191	11	for	for	ADP
cord-121428-79wyxedn	191	12	the	the	DET
cord-121428-79wyxedn	191	13	specific	specific	ADJ
cord-121428-79wyxedn	191	14	case	case	NOUN
cord-121428-79wyxedn	191	15	of	of	ADP
cord-121428-79wyxedn	191	16	covid-19	covid-19	PROPN
cord-121428-79wyxedn	191	17	in	in	ADP
cord-121428-79wyxedn	191	18	different	different	ADJ
cord-121428-79wyxedn	191	19	european	european	ADJ
cord-121428-79wyxedn	191	20	countries	country	NOUN
cord-121428-79wyxedn	191	21	and	and	CCONJ
cord-121428-79wyxedn	191	22	we	we	PRON
cord-121428-79wyxedn	191	23	extrapolate	extrapolate	VERB
cord-121428-79wyxedn	191	24	from	from	ADP
cord-121428-79wyxedn	191	25	them	they	PRON
cord-121428-79wyxedn	191	26	the	the	DET
cord-121428-79wyxedn	191	27	main	main	ADJ
cord-121428-79wyxedn	191	28	features	feature	NOUN
cord-121428-79wyxedn	191	29	characterizing	characterize	VERB
cord-121428-79wyxedn	191	30	the	the	DET
cord-121428-79wyxedn	191	31	contact	contact	NOUN
cord-121428-79wyxedn	191	32	function	function	NOUN
cord-121428-79wyxedn	191	33	h	h	PROPN
cord-121428-79wyxedn	191	34	(	(	PUNCT
cord-121428-79wyxedn	191	35	·	·	PUNCT
cord-121428-79wyxedn	191	36	)	)	PUNCT
cord-121428-79wyxedn	191	37	.	.	PUNCT
cord-121428-79wyxedn	192	1	the	the	DET
cord-121428-79wyxedn	192	2	starting	starting	NOUN
cord-121428-79wyxedn	192	3	point	point	NOUN
cord-121428-79wyxedn	192	4	is	be	AUX
cord-121428-79wyxedn	192	5	represented	represent	VERB
cord-121428-79wyxedn	192	6	by	by	ADP
cord-121428-79wyxedn	192	7	a	a	DET
cord-121428-79wyxedn	192	8	population	population	NOUN
cord-121428-79wyxedn	192	9	composed	compose	VERB
cord-121428-79wyxedn	192	10	of	of	ADP
cord-121428-79wyxedn	192	11	99	99	NUM
cord-121428-79wyxedn	192	12	%	%	NOUN
cord-121428-79wyxedn	192	13	of	of	ADP
cord-121428-79wyxedn	192	14	susceptibles	susceptible	NOUN
cord-121428-79wyxedn	192	15	and	and	CCONJ
cord-121428-79wyxedn	192	16	0.01	0.01	NUM
cord-121428-79wyxedn	192	17	%	%	NOUN
cord-121428-79wyxedn	192	18	of	of	ADP
cord-121428-79wyxedn	192	19	infected	infected	PROPN
cord-121428-79wyxedn	192	20	.	.	PUNCT
cord-121428-79wyxedn	193	1	the	the	DET
cord-121428-79wyxedn	193	2	distribution	distribution	NOUN
cord-121428-79wyxedn	193	3	of	of	ADP
cord-121428-79wyxedn	193	4	the	the	DET
cord-121428-79wyxedn	193	5	number	number	NOUN
cord-121428-79wyxedn	193	6	of	of	ADP
cord-121428-79wyxedn	193	7	contact	contact	NOUN
cord-121428-79wyxedn	193	8	is	be	AUX
cord-121428-79wyxedn	193	9	described	describe	VERB
cord-121428-79wyxedn	193	10	by	by	ADP
cord-121428-79wyxedn	193	11	(	(	PUNCT
cord-121428-79wyxedn	193	12	15	15	NUM
cord-121428-79wyxedn	193	13	)	)	PUNCT
cord-121428-79wyxedn	193	14	with	with	ADP
cord-121428-79wyxedn	193	15	ν	ν	PROPN
cord-121428-79wyxedn	193	16	=	=	NOUN
cord-121428-79wyxedn	193	17	4	4	NUM
cord-121428-79wyxedn	193	18	,	,	PUNCT
cord-121428-79wyxedn	193	19	δ	δ	NOUN
cord-121428-79wyxedn	193	20	=	=	SYM
cord-121428-79wyxedn	193	21	8	8	NUM
cord-121428-79wyxedn	193	22	and	and	CCONJ
cord-121428-79wyxedn	193	23	x	x	NOUN
cord-121428-79wyxedn	193	24	j	j	PROPN
cord-121428-79wyxedn	193	25	=	=	SYM
cord-121428-79wyxedn	193	26	15	15	NUM
cord-121428-79wyxedn	193	27	while	while	SCONJ
cord-121428-79wyxedn	193	28	the	the	DET
cord-121428-79wyxedn	193	29	epidemic	epidemic	NOUN
cord-121428-79wyxedn	193	30	parameters	parameter	NOUN
cord-121428-79wyxedn	193	31	are	be	AUX
cord-121428-79wyxedn	193	32	k(x	k(x	PROPN
cord-121428-79wyxedn	193	33	)	)	PUNCT
cord-121428-79wyxedn	193	34	=	=	SYM
cord-121428-79wyxedn	193	35	0.8	0.8	NUM
cord-121428-79wyxedn	193	36	x	x	SYM
cord-121428-79wyxedn	193	37	j	j	NOUN
cord-121428-79wyxedn	193	38	x	x	PROPN
cord-121428-79wyxedn	193	39	and	and	CCONJ
cord-121428-79wyxedn	193	40	γ	γ	PROPN
cord-121428-79wyxedn	193	41	=	=	NOUN
cord-121428-79wyxedn	193	42	0.8	0.8	NUM
cord-121428-79wyxedn	193	43	.	.	PUNCT
cord-121428-79wyxedn	194	1	the	the	DET
cord-121428-79wyxedn	194	2	kinetic	kinetic	PROPN
cord-121428-79wyxedn	194	3	model	model	NOUN
cord-121428-79wyxedn	194	4	(	(	PUNCT
cord-121428-79wyxedn	194	5	14	14	NUM
cord-121428-79wyxedn	194	6	)	)	PUNCT
cord-121428-79wyxedn	194	7	is	be	AUX
cord-121428-79wyxedn	194	8	solved	solve	VERB
cord-121428-79wyxedn	194	9	by	by	ADP
cord-121428-79wyxedn	194	10	a	a	DET
cord-121428-79wyxedn	194	11	splitting	splitting	NOUN
cord-121428-79wyxedn	194	12	strategy	strategy	NOUN
cord-121428-79wyxedn	194	13	together	together	ADV
cord-121428-79wyxedn	194	14	with	with	ADP
cord-121428-79wyxedn	194	15	a	a	DET
cord-121428-79wyxedn	194	16	monte	monte	PROPN
cord-121428-79wyxedn	194	17	carlo	carlo	PROPN
cord-121428-79wyxedn	194	18	approach	approach	NOUN
cord-121428-79wyxedn	194	19	where	where	SCONJ
cord-121428-79wyxedn	194	20	the	the	DET
cord-121428-79wyxedn	194	21	number	number	NOUN
cord-121428-79wyxedn	194	22	of	of	ADP
cord-121428-79wyxedn	194	23	samples	sample	NOUN
cord-121428-79wyxedn	194	24	used	use	VERB
cord-121428-79wyxedn	194	25	to	to	PART
cord-121428-79wyxedn	194	26	described	describe	VERB
cord-121428-79wyxedn	194	27	the	the	DET
cord-121428-79wyxedn	194	28	population	population	NOUN
cord-121428-79wyxedn	194	29	is	be	AUX
cord-121428-79wyxedn	194	30	fixed	fix	VERB
cord-121428-79wyxedn	194	31	to	to	PART
cord-121428-79wyxedn	194	32	m	m	VERB
cord-121428-79wyxedn	194	33	=	=	NOUN
cord-121428-79wyxedn	194	34	10	10	NUM
cord-121428-79wyxedn	194	35	6	6	NUM
cord-121428-79wyxedn	194	36	.	.	PUNCT
cord-121428-79wyxedn	195	1	the	the	DET
cord-121428-79wyxedn	195	2	time	time	NOUN
cord-121428-79wyxedn	195	3	step	step	NOUN
cord-121428-79wyxedn	195	4	is	be	AUX
cord-121428-79wyxedn	195	5	fixed	fix	VERB
cord-121428-79wyxedn	195	6	to	to	ADP
cord-121428-79wyxedn	195	7	∆t	∆t	PROPN
cord-121428-79wyxedn	195	8	=	=	NOUN
cord-121428-79wyxedn	195	9	10	10	NUM
cord-121428-79wyxedn	195	10	−2	−2	NUM
cord-121428-79wyxedn	195	11	and	and	CCONJ
cord-121428-79wyxedn	195	12	the	the	DET
cord-121428-79wyxedn	195	13	scaling	scaling	NOUN
cord-121428-79wyxedn	195	14	parameter	parameter	NOUN
cord-121428-79wyxedn	195	15	is	be	AUX
cord-121428-79wyxedn	195	16	τ	τ	PROPN
cord-121428-79wyxedn	195	17	=	=	NOUN
cord-121428-79wyxedn	195	18	10	10	NUM
cord-121428-79wyxedn	195	19	−2	−2	NUM
cord-121428-79wyxedn	195	20	.	.	PUNCT
cord-121428-79wyxedn	196	1	these	these	DET
cord-121428-79wyxedn	196	2	choices	choice	NOUN
cord-121428-79wyxedn	196	3	are	be	AUX
cord-121428-79wyxedn	196	4	enough	enough	ADJ
cord-121428-79wyxedn	196	5	to	to	PART
cord-121428-79wyxedn	196	6	observe	observe	VERB
cord-121428-79wyxedn	196	7	the	the	DET
cord-121428-79wyxedn	196	8	convergence	convergence	NOUN
cord-121428-79wyxedn	196	9	of	of	ADP
cord-121428-79wyxedn	196	10	the	the	DET
cord-121428-79wyxedn	196	11	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	196	12	dynamics	dynamic	NOUN
cord-121428-79wyxedn	196	13	to	to	ADP
cord-121428-79wyxedn	196	14	the	the	DET
cord-121428-79wyxedn	196	15	fokker	fokker	NOUN
cord-121428-79wyxedn	196	16	-	-	PUNCT
cord-121428-79wyxedn	196	17	planck	planck	NOUN
cord-121428-79wyxedn	196	18	one	one	NOUN
cord-121428-79wyxedn	196	19	as	as	SCONJ
cord-121428-79wyxedn	196	20	shown	show	VERB
cord-121428-79wyxedn	196	21	in	in	ADP
cord-121428-79wyxedn	196	22	figure	figure	NOUN
cord-121428-79wyxedn	196	23	1	1	NUM
cord-121428-79wyxedn	196	24	where	where	SCONJ
cord-121428-79wyxedn	196	25	the	the	DET
cord-121428-79wyxedn	196	26	analytical	analytical	ADJ
cord-121428-79wyxedn	196	27	equilibrium	equilibrium	NOUN
cord-121428-79wyxedn	196	28	distribution	distribution	NOUN
cord-121428-79wyxedn	196	29	is	be	AUX
cord-121428-79wyxedn	196	30	plotted	plot	VERB
cord-121428-79wyxedn	196	31	together	together	ADV
cord-121428-79wyxedn	196	32	with	with	ADP
cord-121428-79wyxedn	196	33	the	the	DET
cord-121428-79wyxedn	196	34	results	result	NOUN
cord-121428-79wyxedn	196	35	of	of	ADP
cord-121428-79wyxedn	196	36	the	the	DET
cord-121428-79wyxedn	196	37	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	196	38	dynamics	dynamic	NOUN
cord-121428-79wyxedn	196	39	.	.	PUNCT
cord-121428-79wyxedn	197	1	we	we	PRON
cord-121428-79wyxedn	197	2	considered	consider	VERB
cord-121428-79wyxedn	197	3	also	also	ADV
cord-121428-79wyxedn	197	4	uniform	uniform	ADJ
cord-121428-79wyxedn	197	5	initial	initial	ADJ
cord-121428-79wyxedn	197	6	distribution	distribution	NOUN
cord-121428-79wyxedn	197	7	being	be	AUX
cord-121428-79wyxedn	197	8	χ	χ	NUM
cord-121428-79wyxedn	197	9	(	(	PUNCT
cord-121428-79wyxedn	197	10	·	·	PUNCT
cord-121428-79wyxedn	197	11	)	)	PUNCT
cord-121428-79wyxedn	197	12	the	the	DET
cord-121428-79wyxedn	197	13	indicator	indicator	NOUN
cord-121428-79wyxedn	197	14	function	function	NOUN
cord-121428-79wyxedn	197	15	.	.	PUNCT
cord-121428-79wyxedn	198	1	in	in	ADP
cord-121428-79wyxedn	198	2	the	the	DET
cord-121428-79wyxedn	198	3	introduced	introduce	VERB
cord-121428-79wyxedn	198	4	setting	setting	NOUN
cord-121428-79wyxedn	198	5	,	,	PUNCT
cord-121428-79wyxedn	198	6	we	we	PRON
cord-121428-79wyxedn	198	7	then	then	ADV
cord-121428-79wyxedn	198	8	compare	compare	VERB
cord-121428-79wyxedn	198	9	two	two	NUM
cord-121428-79wyxedn	198	10	distinct	distinct	ADJ
cord-121428-79wyxedn	198	11	cases	case	NOUN
cord-121428-79wyxedn	198	12	:	:	PUNCT
cord-121428-79wyxedn	198	13	in	in	ADP
cord-121428-79wyxedn	198	14	the	the	DET
cord-121428-79wyxedn	198	15	first	first	ADJ
cord-121428-79wyxedn	198	16	one	one	NOUN
cord-121428-79wyxedn	198	17	we	we	PRON
cord-121428-79wyxedn	198	18	suppose	suppose	VERB
cord-121428-79wyxedn	198	19	that	that	SCONJ
cord-121428-79wyxedn	198	20	the	the	DET
cord-121428-79wyxedn	198	21	social	social	ADJ
cord-121428-79wyxedn	198	22	contacts	contact	NOUN
cord-121428-79wyxedn	198	23	do	do	AUX
cord-121428-79wyxedn	198	24	not	not	PART
cord-121428-79wyxedn	198	25	affect	affect	VERB
cord-121428-79wyxedn	198	26	the	the	DET
cord-121428-79wyxedn	198	27	solution	solution	NOUN
cord-121428-79wyxedn	198	28	,	,	PUNCT
cord-121428-79wyxedn	198	29	meaning	mean	VERB
cord-121428-79wyxedn	198	30	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	198	31	)	)	PUNCT
cord-121428-79wyxedn	198	32	)	)	PUNCT
cord-121428-79wyxedn	198	33	=	=	SYM
cord-121428-79wyxedn	198	34	1	1	X
cord-121428-79wyxedn	198	35	,	,	PUNCT
cord-121428-79wyxedn	198	36	while	while	SCONJ
cord-121428-79wyxedn	198	37	the	the	DET
cord-121428-79wyxedn	198	38	second	second	NOUN
cord-121428-79wyxedn	198	39	includes	include	VERB
cord-121428-79wyxedn	198	40	the	the	DET
cord-121428-79wyxedn	198	41	effects	effect	NOUN
cord-121428-79wyxedn	198	42	of	of	ADP
cord-121428-79wyxedn	198	43	the	the	DET
cord-121428-79wyxedn	198	44	function	function	NOUN
cord-121428-79wyxedn	198	45	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	198	46	)	)	PUNCT
cord-121428-79wyxedn	198	47	)	)	PUNCT
cord-121428-79wyxedn	198	48	given	give	VERB
cord-121428-79wyxedn	198	49	in	in	ADP
cord-121428-79wyxedn	198	50	(	(	PUNCT
cord-121428-79wyxedn	198	51	31	31	NUM
cord-121428-79wyxedn	198	52	)	)	PUNCT
cord-121428-79wyxedn	198	53	with	with	ADP
cord-121428-79wyxedn	198	54	n	n	SYM
cord-121428-79wyxedn	198	55	=	=	NOUN
cord-121428-79wyxedn	198	56	10	10	NUM
cord-121428-79wyxedn	198	57	.	.	PUNCT
cord-121428-79wyxedn	199	1	the	the	DET
cord-121428-79wyxedn	199	2	results	result	NOUN
cord-121428-79wyxedn	199	3	are	be	AUX
cord-121428-79wyxedn	199	4	depicted	depict	VERB
cord-121428-79wyxedn	199	5	in	in	ADP
cord-121428-79wyxedn	199	6	figure	figure	NOUN
cord-121428-79wyxedn	199	7	2	2	NUM
cord-121428-79wyxedn	199	8	.	.	PUNCT
cord-121428-79wyxedn	200	1	the	the	DET
cord-121428-79wyxedn	200	2	top	top	ADJ
cord-121428-79wyxedn	200	3	right	right	ADJ
cord-121428-79wyxedn	200	4	images	image	NOUN
cord-121428-79wyxedn	200	5	show	show	VERB
cord-121428-79wyxedn	200	6	the	the	DET
cord-121428-79wyxedn	200	7	time	time	NOUN
cord-121428-79wyxedn	200	8	evolution	evolution	NOUN
cord-121428-79wyxedn	200	9	of	of	ADP
cord-121428-79wyxedn	200	10	the	the	DET
cord-121428-79wyxedn	200	11	distribution	distribution	NOUN
cord-121428-79wyxedn	200	12	of	of	ADP
cord-121428-79wyxedn	200	13	the	the	DET
cord-121428-79wyxedn	200	14	number	number	NOUN
cord-121428-79wyxedn	200	15	of	of	ADP
cord-121428-79wyxedn	200	16	contacts	contact	NOUN
cord-121428-79wyxedn	200	17	for	for	ADP
cord-121428-79wyxedn	200	18	the	the	DET
cord-121428-79wyxedn	200	19	two	two	NUM
cord-121428-79wyxedn	200	20	distinct	distinct	ADJ
cord-121428-79wyxedn	200	21	cases	case	NOUN
cord-121428-79wyxedn	200	22	,	,	PUNCT
cord-121428-79wyxedn	200	23	while	while	SCONJ
cord-121428-79wyxedn	200	24	the	the	DET
cord-121428-79wyxedn	200	25	middle	middle	ADJ
cord-121428-79wyxedn	200	26	images	image	NOUN
cord-121428-79wyxedn	200	27	report	report	VERB
cord-121428-79wyxedn	200	28	the	the	DET
cord-121428-79wyxedn	200	29	corresponding	correspond	VERB
cord-121428-79wyxedn	200	30	evolution	evolution	NOUN
cord-121428-79wyxedn	200	31	of	of	ADP
cord-121428-79wyxedn	200	32	the	the	DET
cord-121428-79wyxedn	200	33	epidemic	epidemic	NOUN
cord-121428-79wyxedn	200	34	.	.	PUNCT
cord-121428-79wyxedn	201	1	for	for	ADP
cord-121428-79wyxedn	201	2	this	this	PRON
cord-121428-79wyxedn	201	3	the	the	DET
cord-121428-79wyxedn	201	4	second	second	ADJ
cord-121428-79wyxedn	201	5	case	case	NOUN
cord-121428-79wyxedn	201	6	,	,	PUNCT
cord-121428-79wyxedn	201	7	the	the	DET
cord-121428-79wyxedn	201	8	function	function	NOUN
cord-121428-79wyxedn	201	9	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	201	10	)	)	PUNCT
cord-121428-79wyxedn	201	11	)	)	PUNCT
cord-121428-79wyxedn	201	12	as	as	ADV
cord-121428-79wyxedn	201	13	well	well	ADV
cord-121428-79wyxedn	201	14	as	as	ADP
cord-121428-79wyxedn	201	15	the	the	DET
cord-121428-79wyxedn	201	16	distribution	distribution	NOUN
cord-121428-79wyxedn	201	17	of	of	ADP
cord-121428-79wyxedn	201	18	contacts	contact	NOUN
cord-121428-79wyxedn	201	19	for	for	ADP
cord-121428-79wyxedn	201	20	respectively	respectively	ADV
cord-121428-79wyxedn	201	21	the	the	DET
cord-121428-79wyxedn	201	22	susceptible	susceptible	ADJ
cord-121428-79wyxedn	201	23	and	and	CCONJ
cord-121428-79wyxedn	201	24	the	the	DET
cord-121428-79wyxedn	201	25	recovered	recover	VERB
cord-121428-79wyxedn	201	26	are	be	AUX
cord-121428-79wyxedn	201	27	shown	show	VERB
cord-121428-79wyxedn	201	28	at	at	ADP
cord-121428-79wyxedn	201	29	the	the	DET
cord-121428-79wyxedn	201	30	bottom	bottom	NOUN
cord-121428-79wyxedn	201	31	of	of	ADP
cord-121428-79wyxedn	201	32	the	the	DET
cord-121428-79wyxedn	201	33	same	same	ADJ
cord-121428-79wyxedn	201	34	figure	figure	NOUN
cord-121428-79wyxedn	201	35	.	.	PUNCT
cord-121428-79wyxedn	202	1	we	we	PRON
cord-121428-79wyxedn	202	2	clearly	clearly	ADV
cord-121428-79wyxedn	202	3	observe	observe	VERB
cord-121428-79wyxedn	202	4	a	a	DET
cord-121428-79wyxedn	202	5	reduction	reduction	NOUN
cord-121428-79wyxedn	202	6	of	of	ADP
cord-121428-79wyxedn	202	7	the	the	DET
cord-121428-79wyxedn	202	8	peak	peak	NOUN
cord-121428-79wyxedn	202	9	of	of	ADP
cord-121428-79wyxedn	202	10	infected	infect	VERB
cord-121428-79wyxedn	202	11	in	in	ADP
cord-121428-79wyxedn	202	12	the	the	DET
cord-121428-79wyxedn	202	13	case	case	NOUN
cord-121428-79wyxedn	202	14	in	in	ADP
cord-121428-79wyxedn	202	15	which	which	PRON
cord-121428-79wyxedn	202	16	the	the	DET
cord-121428-79wyxedn	202	17	dynamics	dynamic	NOUN
cord-121428-79wyxedn	202	18	depends	depend	VERB
cord-121428-79wyxedn	202	19	on	on	ADP
cord-121428-79wyxedn	202	20	the	the	DET
cord-121428-79wyxedn	202	21	number	number	NOUN
cord-121428-79wyxedn	202	22	of	of	ADP
cord-121428-79wyxedn	202	23	contacts	contact	NOUN
cord-121428-79wyxedn	202	24	with	with	ADP
cord-121428-79wyxedn	202	25	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	202	26	)	)	PUNCT
cord-121428-79wyxedn	202	27	)	)	PUNCT
cord-121428-79wyxedn	202	28	given	give	VERB
cord-121428-79wyxedn	202	29	by	by	ADP
cord-121428-79wyxedn	202	30	(	(	PUNCT
cord-121428-79wyxedn	202	31	31	31	NUM
cord-121428-79wyxedn	202	32	)	)	PUNCT
cord-121428-79wyxedn	202	33	.	.	PUNCT
cord-121428-79wyxedn	203	1	we	we	PRON
cord-121428-79wyxedn	203	2	now	now	ADV
cord-121428-79wyxedn	203	3	repeat	repeat	VERB
cord-121428-79wyxedn	203	4	the	the	DET
cord-121428-79wyxedn	203	5	same	same	ADJ
cord-121428-79wyxedn	203	6	simulation	simulation	NOUN
cord-121428-79wyxedn	203	7	by	by	ADP
cord-121428-79wyxedn	203	8	only	only	ADV
cord-121428-79wyxedn	203	9	changing	change	VERB
cord-121428-79wyxedn	203	10	the	the	DET
cord-121428-79wyxedn	203	11	considered	considered	ADJ
cord-121428-79wyxedn	203	12	epidemic	epidemic	NOUN
cord-121428-79wyxedn	203	13	parameters	parameter	NOUN
cord-121428-79wyxedn	203	14	.	.	PUNCT
cord-121428-79wyxedn	204	1	in	in	ADP
cord-121428-79wyxedn	204	2	particular	particular	ADJ
cord-121428-79wyxedn	204	3	,	,	PUNCT
cord-121428-79wyxedn	204	4	we	we	PRON
cord-121428-79wyxedn	204	5	consider	consider	VERB
cord-121428-79wyxedn	204	6	a	a	DET
cord-121428-79wyxedn	204	7	lower	low	ADJ
cord-121428-79wyxedn	204	8	infection	infection	NOUN
cord-121428-79wyxedn	204	9	and	and	CCONJ
cord-121428-79wyxedn	204	10	recovery	recovery	NOUN
cord-121428-79wyxedn	204	11	rate	rate	NOUN
cord-121428-79wyxedn	204	12	given	give	VERB
cord-121428-79wyxedn	204	13	by	by	ADP
cord-121428-79wyxedn	204	14	k(x	k(x	PROPN
cord-121428-79wyxedn	204	15	)	)	PUNCT
cord-121428-79wyxedn	204	16	=	=	PROPN
cord-121428-79wyxedn	204	17	0.2	0.2	NUM
cord-121428-79wyxedn	204	18	/	/	SYM
cord-121428-79wyxedn	204	19	x	x	PUNCT
cord-121428-79wyxedn	204	20	j	j	PROPN
cord-121428-79wyxedn	204	21	x	x	PROPN
cord-121428-79wyxedn	205	1	and	and	CCONJ
cord-121428-79wyxedn	205	2	γ	γ	PROPN
cord-121428-79wyxedn	205	3	=	=	SYM
cord-121428-79wyxedn	205	4	1	1	NUM
cord-121428-79wyxedn	205	5	,	,	PUNCT
cord-121428-79wyxedn	205	6	respectively	respectively	ADV
cord-121428-79wyxedn	205	7	.	.	PUNCT
cord-121428-79wyxedn	206	1	in	in	ADP
cord-121428-79wyxedn	206	2	figure	figure	NOUN
cord-121428-79wyxedn	206	3	3	3	NUM
cord-121428-79wyxedn	206	4	,	,	PUNCT
cord-121428-79wyxedn	206	5	we	we	PRON
cord-121428-79wyxedn	206	6	show	show	VERB
cord-121428-79wyxedn	206	7	the	the	DET
cord-121428-79wyxedn	206	8	evolution	evolution	NOUN
cord-121428-79wyxedn	206	9	of	of	ADP
cord-121428-79wyxedn	206	10	two	two	NUM
cord-121428-79wyxedn	206	11	epidemic	epidemic	ADJ
cord-121428-79wyxedn	206	12	profiles	profile	NOUN
cord-121428-79wyxedn	206	13	in	in	ADP
cord-121428-79wyxedn	206	14	time	time	NOUN
cord-121428-79wyxedn	206	15	for	for	ADP
cord-121428-79wyxedn	206	16	the	the	DET
cord-121428-79wyxedn	206	17	case	case	NOUN
cord-121428-79wyxedn	206	18	in	in	ADP
cord-121428-79wyxedn	206	19	which	which	PRON
cord-121428-79wyxedn	206	20	social	social	ADJ
cord-121428-79wyxedn	206	21	contacts	contact	NOUN
cord-121428-79wyxedn	206	22	do	do	AUX
cord-121428-79wyxedn	206	23	not	not	PART
cord-121428-79wyxedn	206	24	affect	affect	VERB
cord-121428-79wyxedn	206	25	the	the	DET
cord-121428-79wyxedn	206	26	solution	solution	NOUN
cord-121428-79wyxedn	206	27	and	and	CCONJ
cord-121428-79wyxedn	206	28	for	for	ADP
cord-121428-79wyxedn	206	29	the	the	DET
cord-121428-79wyxedn	206	30	case	case	NOUN
cord-121428-79wyxedn	206	31	in	in	ADP
cord-121428-79wyxedn	206	32	which	which	PRON
cord-121428-79wyxedn	206	33	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	206	34	)	)	PUNCT
cord-121428-79wyxedn	206	35	)	)	PUNCT
cord-121428-79wyxedn	206	36	is	be	AUX
cord-121428-79wyxedn	206	37	a	a	DET
cord-121428-79wyxedn	206	38	function	function	NOUN
cord-121428-79wyxedn	206	39	of	of	ADP
cord-121428-79wyxedn	206	40	the	the	DET
cord-121428-79wyxedn	206	41	number	number	NOUN
cord-121428-79wyxedn	206	42	of	of	ADP
cord-121428-79wyxedn	206	43	infected	infect	VERB
cord-121428-79wyxedn	206	44	as	as	ADP
cord-121428-79wyxedn	206	45	for	for	ADP
cord-121428-79wyxedn	206	46	the	the	DET
cord-121428-79wyxedn	206	47	previous	previous	ADJ
cord-121428-79wyxedn	206	48	situation	situation	NOUN
cord-121428-79wyxedn	206	49	.	.	PUNCT
cord-121428-79wyxedn	207	1	results	result	NOUN
cord-121428-79wyxedn	207	2	show	show	VERB
cord-121428-79wyxedn	207	3	the	the	DET
cord-121428-79wyxedn	207	4	same	same	ADJ
cord-121428-79wyxedn	207	5	qualitative	qualitative	ADJ
cord-121428-79wyxedn	207	6	behavior	behavior	NOUN
cord-121428-79wyxedn	207	7	:	:	PUNCT
cord-121428-79wyxedn	207	8	peak	peak	NOUN
cord-121428-79wyxedn	207	9	reduction	reduction	NOUN
cord-121428-79wyxedn	207	10	and	and	CCONJ
cord-121428-79wyxedn	207	11	spread	spread	NOUN
cord-121428-79wyxedn	207	12	of	of	ADP
cord-121428-79wyxedn	207	13	the	the	DET
cord-121428-79wyxedn	207	14	number	number	NOUN
cord-121428-79wyxedn	207	15	of	of	ADP
cord-121428-79wyxedn	207	16	infected	infect	VERB
cord-121428-79wyxedn	207	17	over	over	ADP
cord-121428-79wyxedn	207	18	time	time	NOUN
cord-121428-79wyxedn	207	19	is	be	AUX
cord-121428-79wyxedn	207	20	observed	observe	VERB
cord-121428-79wyxedn	207	21	when	when	SCONJ
cord-121428-79wyxedn	207	22	sociality	sociality	NOUN
cord-121428-79wyxedn	207	23	is	be	AUX
cord-121428-79wyxedn	207	24	taken	take	VERB
cord-121428-79wyxedn	207	25	into	into	ADP
cord-121428-79wyxedn	207	26	account	account	NOUN
cord-121428-79wyxedn	207	27	.	.	PUNCT
cord-121428-79wyxedn	208	1	the	the	DET
cord-121428-79wyxedn	208	2	total	total	ADJ
cord-121428-79wyxedn	208	3	number	number	NOUN
cord-121428-79wyxedn	208	4	of	of	ADP
cord-121428-79wyxedn	208	5	infected	infect	VERB
cord-121428-79wyxedn	208	6	is	be	AUX
cord-121428-79wyxedn	208	7	also	also	ADV
cord-121428-79wyxedn	208	8	reduced	reduce	VERB
cord-121428-79wyxedn	208	9	in	in	ADP
cord-121428-79wyxedn	208	10	the	the	DET
cord-121428-79wyxedn	208	11	second	second	ADJ
cord-121428-79wyxedn	208	12	case	case	NOUN
cord-121428-79wyxedn	208	13	.	.	PUNCT
cord-121428-79wyxedn	209	1	next	next	ADV
cord-121428-79wyxedn	209	2	,	,	PUNCT
cord-121428-79wyxedn	209	3	we	we	PRON
cord-121428-79wyxedn	209	4	compare	compare	VERB
cord-121428-79wyxedn	209	5	the	the	DET
cord-121428-79wyxedn	209	6	effects	effect	NOUN
cord-121428-79wyxedn	209	7	on	on	ADP
cord-121428-79wyxedn	209	8	the	the	DET
cord-121428-79wyxedn	209	9	spread	spread	NOUN
cord-121428-79wyxedn	209	10	of	of	ADP
cord-121428-79wyxedn	209	11	the	the	DET
cord-121428-79wyxedn	209	12	disease	disease	NOUN
cord-121428-79wyxedn	209	13	when	when	SCONJ
cord-121428-79wyxedn	209	14	the	the	DET
cord-121428-79wyxedn	209	15	population	population	NOUN
cord-121428-79wyxedn	209	16	adapts	adapt	VERB
cord-121428-79wyxedn	209	17	its	its	PRON
cord-121428-79wyxedn	209	18	habits	habit	NOUN
cord-121428-79wyxedn	209	19	with	with	ADP
cord-121428-79wyxedn	209	20	a	a	DET
cord-121428-79wyxedn	209	21	time	time	NOUN
cord-121428-79wyxedn	209	22	delay	delay	NOUN
cord-121428-79wyxedn	209	23	with	with	ADP
cord-121428-79wyxedn	209	24	respect	respect	NOUN
cord-121428-79wyxedn	209	25	to	to	ADP
cord-121428-79wyxedn	209	26	the	the	DET
cord-121428-79wyxedn	209	27	onset	onset	NOUN
cord-121428-79wyxedn	209	28	of	of	ADP
cord-121428-79wyxedn	209	29	the	the	DET
cord-121428-79wyxedn	209	30	epidemic	epidemic	NOUN
cord-121428-79wyxedn	209	31	.	.	PUNCT
cord-121428-79wyxedn	210	1	this	this	DET
cord-121428-79wyxedn	210	2	kind	kind	NOUN
cord-121428-79wyxedn	210	3	of	of	ADP
cord-121428-79wyxedn	210	4	dynamics	dynamic	NOUN
cord-121428-79wyxedn	210	5	corresponds	correspond	VERB
cord-121428-79wyxedn	210	6	to	to	ADP
cord-121428-79wyxedn	210	7	a	a	DET
cord-121428-79wyxedn	210	8	modeling	modeling	NOUN
cord-121428-79wyxedn	210	9	of	of	ADP
cord-121428-79wyxedn	210	10	a	a	DET
cord-121428-79wyxedn	210	11	possible	possible	ADJ
cord-121428-79wyxedn	210	12	lockdown	lockdown	NOUN
cord-121428-79wyxedn	210	13	strategy	strategy	NOUN
cord-121428-79wyxedn	210	14	whose	whose	DET
cord-121428-79wyxedn	210	15	effects	effect	NOUN
cord-121428-79wyxedn	210	16	are	be	AUX
cord-121428-79wyxedn	210	17	to	to	PART
cord-121428-79wyxedn	210	18	reduce	reduce	VERB
cord-121428-79wyxedn	210	19	the	the	DET
cord-121428-79wyxedn	210	20	mobility	mobility	NOUN
cord-121428-79wyxedn	210	21	of	of	ADP
cord-121428-79wyxedn	210	22	the	the	DET
cord-121428-79wyxedn	210	23	population	population	NOUN
cord-121428-79wyxedn	210	24	and	and	CCONJ
cord-121428-79wyxedn	210	25	,	,	PUNCT
cord-121428-79wyxedn	210	26	correspondingly	correspondingly	ADV
cord-121428-79wyxedn	210	27	,	,	PUNCT
cord-121428-79wyxedn	210	28	to	to	PART
cord-121428-79wyxedn	210	29	reduce	reduce	VERB
cord-121428-79wyxedn	210	30	the	the	DET
cord-121428-79wyxedn	210	31	number	number	NOUN
cord-121428-79wyxedn	210	32	of	of	ADP
cord-121428-79wyxedn	210	33	daily	daily	ADJ
cord-121428-79wyxedn	210	34	contacts	contact	NOUN
cord-121428-79wyxedn	210	35	in	in	ADP
cord-121428-79wyxedn	210	36	the	the	DET
cord-121428-79wyxedn	210	37	population	population	NOUN
cord-121428-79wyxedn	210	38	.	.	PUNCT
cord-121428-79wyxedn	211	1	the	the	DET
cord-121428-79wyxedn	211	2	setting	setting	NOUN
cord-121428-79wyxedn	211	3	is	be	AUX
cord-121428-79wyxedn	211	4	similar	similar	ADJ
cord-121428-79wyxedn	211	5	to	to	ADP
cord-121428-79wyxedn	211	6	the	the	DET
cord-121428-79wyxedn	211	7	one	one	NOUN
cord-121428-79wyxedn	211	8	introduced	introduce	VERB
cord-121428-79wyxedn	211	9	in	in	ADP
cord-121428-79wyxedn	211	10	section	section	NOUN
cord-121428-79wyxedn	211	11	5.1	5.1	NUM
cord-121428-79wyxedn	211	12	and	and	CCONJ
cord-121428-79wyxedn	211	13	we	we	PRON
cord-121428-79wyxedn	211	14	consider	consider	VERB
cord-121428-79wyxedn	211	15	a	a	DET
cord-121428-79wyxedn	211	16	switch	switch	NOUN
cord-121428-79wyxedn	211	17	between	between	ADP
cord-121428-79wyxedn	211	18	h	h	X
cord-121428-79wyxedn	211	19	=	=	NOUN
cord-121428-79wyxedn	211	20	1	1	NUM
cord-121428-79wyxedn	211	21	to	to	ADP
cord-121428-79wyxedn	211	22	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	211	23	)	)	PUNCT
cord-121428-79wyxedn	211	24	)	)	PUNCT
cord-121428-79wyxedn	212	1	=	=	NOUN
cord-121428-79wyxedn	212	2	1/	1/	NUM
cord-121428-79wyxedn	212	3	1	1	NUM
cord-121428-79wyxedn	212	4	+	+	NUM
cord-121428-79wyxedn	212	5	n	n	CCONJ
cord-121428-79wyxedn	212	6	i(t	i(t	PROPN
cord-121428-79wyxedn	212	7	)	)	PUNCT
cord-121428-79wyxedn	213	1	when	when	SCONJ
cord-121428-79wyxedn	213	2	the	the	DET
cord-121428-79wyxedn	213	3	number	number	NOUN
cord-121428-79wyxedn	213	4	of	of	ADP
cord-121428-79wyxedn	213	5	infected	infected	ADJ
cord-121428-79wyxedn	213	6	increases	increase	NOUN
cord-121428-79wyxedn	214	1	.	.	PUNCT
cord-121428-79wyxedn	215	1	the	the	DET
cord-121428-79wyxedn	215	2	social	social	ADJ
cord-121428-79wyxedn	215	3	parameters	parameter	NOUN
cord-121428-79wyxedn	215	4	are	be	AUX
cord-121428-79wyxedn	215	5	ν	ν	PROPN
cord-121428-79wyxedn	215	6	=	=	NOUN
cord-121428-79wyxedn	215	7	4	4	NUM
cord-121428-79wyxedn	215	8	,	,	PUNCT
cord-121428-79wyxedn	215	9	δ	δ	NOUN
cord-121428-79wyxedn	215	10	=	=	SYM
cord-121428-79wyxedn	215	11	8	8	NUM
cord-121428-79wyxedn	215	12	and	and	CCONJ
cord-121428-79wyxedn	215	13	x	x	NOUN
cord-121428-79wyxedn	215	14	j	j	PROPN
cord-121428-79wyxedn	215	15	=	=	PROPN
cord-121428-79wyxedn	215	16	15	15	NUM
cord-121428-79wyxedn	215	17	,	,	PUNCT
cord-121428-79wyxedn	215	18	as	as	ADP
cord-121428-79wyxedn	215	19	before	before	ADV
cord-121428-79wyxedn	215	20	,	,	PUNCT
cord-121428-79wyxedn	215	21	while	while	SCONJ
cord-121428-79wyxedn	215	22	the	the	DET
cord-121428-79wyxedn	215	23	epidemic	epidemic	NOUN
cord-121428-79wyxedn	215	24	parameters	parameter	NOUN
cord-121428-79wyxedn	215	25	are	be	AUX
cord-121428-79wyxedn	215	26	k(x	k(x	PROPN
cord-121428-79wyxedn	215	27	)	)	PUNCT
cord-121428-79wyxedn	215	28	=	=	PROPN
cord-121428-79wyxedn	215	29	0.4	0.4	NUM
cord-121428-79wyxedn	215	30	/	/	SYM
cord-121428-79wyxedn	215	31	x	x	PUNCT
cord-121428-79wyxedn	215	32	j	j	PROPN
cord-121428-79wyxedn	215	33	x	x	PROPN
cord-121428-79wyxedn	215	34	and	and	CCONJ
cord-121428-79wyxedn	215	35	γ	γ	PROPN
cord-121428-79wyxedn	215	36	=	=	SYM
cord-121428-79wyxedn	215	37	0.6	0.6	NUM
cord-121428-79wyxedn	215	38	,	,	PUNCT
cord-121428-79wyxedn	215	39	the	the	DET
cord-121428-79wyxedn	215	40	final	final	ADJ
cord-121428-79wyxedn	215	41	time	time	NOUN
cord-121428-79wyxedn	215	42	is	be	AUX
cord-121428-79wyxedn	215	43	fixed	fix	VERB
cord-121428-79wyxedn	215	44	to	to	ADP
cord-121428-79wyxedn	215	45	t	t	PROPN
cord-121428-79wyxedn	215	46	=	=	PROPN
cord-121428-79wyxedn	215	47	15	15	NUM
cord-121428-79wyxedn	215	48	.	.	PUNCT
cord-121428-79wyxedn	216	1	the	the	DET
cord-121428-79wyxedn	216	2	initial	initial	ADJ
cord-121428-79wyxedn	216	3	distribution	distribution	NOUN
cord-121428-79wyxedn	216	4	of	of	ADP
cord-121428-79wyxedn	216	5	contacts	contact	NOUN
cord-121428-79wyxedn	216	6	is	be	AUX
cord-121428-79wyxedn	216	7	also	also	ADV
cord-121428-79wyxedn	216	8	assumed	assume	VERB
cord-121428-79wyxedn	216	9	to	to	PART
cord-121428-79wyxedn	216	10	be	be	AUX
cord-121428-79wyxedn	216	11	of	of	ADP
cord-121428-79wyxedn	216	12	the	the	DET
cord-121428-79wyxedn	216	13	form	form	NOUN
cord-121428-79wyxedn	216	14	(	(	PUNCT
cord-121428-79wyxedn	216	15	37	37	NUM
cord-121428-79wyxedn	216	16	)	)	PUNCT
cord-121428-79wyxedn	216	17	.	.	PUNCT
cord-121428-79wyxedn	217	1	we	we	PRON
cord-121428-79wyxedn	217	2	consider	consider	VERB
cord-121428-79wyxedn	217	3	three	three	NUM
cord-121428-79wyxedn	217	4	different	different	ADJ
cord-121428-79wyxedn	217	5	settings	setting	NOUN
cord-121428-79wyxedn	217	6	,	,	PUNCT
cord-121428-79wyxedn	217	7	in	in	ADP
cord-121428-79wyxedn	217	8	the	the	DET
cord-121428-79wyxedn	217	9	first	first	ADJ
cord-121428-79wyxedn	217	10	one	one	NUM
cord-121428-79wyxedn	217	11	h	h	NOUN
cord-121428-79wyxedn	217	12	=	=	SYM
cord-121428-79wyxedn	217	13	1	1	NUM
cord-121428-79wyxedn	217	14	up	up	ADP
cord-121428-79wyxedn	217	15	to	to	ADP
cord-121428-79wyxedn	217	16	t	t	NOUN
cord-121428-79wyxedn	217	17	<	<	X
cord-121428-79wyxedn	217	18	t	t	PROPN
cord-121428-79wyxedn	217	19	/4	/4	NOUN
cord-121428-79wyxedn	217	20	,	,	PUNCT
cord-121428-79wyxedn	217	21	in	in	ADP
cord-121428-79wyxedn	217	22	the	the	DET
cord-121428-79wyxedn	217	23	second	second	ADJ
cord-121428-79wyxedn	217	24	one	one	NUM
cord-121428-79wyxedn	217	25	up	up	ADP
cord-121428-79wyxedn	217	26	to	to	ADP
cord-121428-79wyxedn	217	27	t	t	NOUN
cord-121428-79wyxedn	217	28	<	<	X
cord-121428-79wyxedn	217	29	t	t	PROPN
cord-121428-79wyxedn	217	30	/2	/2	NOUN
cord-121428-79wyxedn	218	1	while	while	SCONJ
cord-121428-79wyxedn	218	2	in	in	ADP
cord-121428-79wyxedn	218	3	the	the	DET
cord-121428-79wyxedn	218	4	third	third	ADJ
cord-121428-79wyxedn	218	5	one	one	NOUN
cord-121428-79wyxedn	218	6	we	we	PRON
cord-121428-79wyxedn	218	7	prescribe	prescribe	VERB
cord-121428-79wyxedn	218	8	a	a	DET
cord-121428-79wyxedn	218	9	lockdown	lockdown	NOUN
cord-121428-79wyxedn	218	10	for	for	ADP
cord-121428-79wyxedn	218	11	a	a	DET
cord-121428-79wyxedn	218	12	limited	limited	ADJ
cord-121428-79wyxedn	218	13	amount	amount	NOUN
cord-121428-79wyxedn	218	14	of	of	ADP
cord-121428-79wyxedn	218	15	time	time	NOUN
cord-121428-79wyxedn	218	16	(	(	PUNCT
cord-121428-79wyxedn	218	17	1	1	NUM
cord-121428-79wyxedn	218	18	<	<	X
cord-121428-79wyxedn	218	19	t	t	X
cord-121428-79wyxedn	218	20	<	<	X
cord-121428-79wyxedn	218	21	2	2	NUM
cord-121428-79wyxedn	218	22	)	)	PUNCT
cord-121428-79wyxedn	218	23	and	and	CCONJ
cord-121428-79wyxedn	218	24	then	then	ADV
cord-121428-79wyxedn	218	25	we	we	PRON
cord-121428-79wyxedn	218	26	relax	relax	VERB
cord-121428-79wyxedn	218	27	back	back	ADV
cord-121428-79wyxedn	218	28	to	to	ADP
cord-121428-79wyxedn	218	29	h	h	PROPN
cord-121428-79wyxedn	218	30	=	=	SYM
cord-121428-79wyxedn	218	31	1	1	NUM
cord-121428-79wyxedn	218	32	.	.	PUNCT
cord-121428-79wyxedn	219	1	the	the	DET
cord-121428-79wyxedn	219	2	results	result	NOUN
cord-121428-79wyxedn	219	3	are	be	AUX
cord-121428-79wyxedn	219	4	shown	show	VERB
cord-121428-79wyxedn	219	5	in	in	ADP
cord-121428-79wyxedn	219	6	figure	figure	NOUN
cord-121428-79wyxedn	219	7	4	4	NUM
cord-121428-79wyxedn	219	8	for	for	ADP
cord-121428-79wyxedn	219	9	both	both	CCONJ
cord-121428-79wyxedn	219	10	the	the	DET
cord-121428-79wyxedn	219	11	distribution	distribution	NOUN
cord-121428-79wyxedn	219	12	of	of	ADP
cord-121428-79wyxedn	219	13	daily	daily	ADJ
cord-121428-79wyxedn	219	14	contacts	contact	NOUN
cord-121428-79wyxedn	219	15	over	over	ADP
cord-121428-79wyxedn	219	16	time	time	NOUN
cord-121428-79wyxedn	219	17	and	and	CCONJ
cord-121428-79wyxedn	219	18	the	the	DET
cord-121428-79wyxedn	219	19	sir	sir	PROPN
cord-121428-79wyxedn	219	20	evolution	evolution	NOUN
cord-121428-79wyxedn	219	21	.	.	PUNCT
cord-121428-79wyxedn	220	1	we	we	PRON
cord-121428-79wyxedn	220	2	can	can	AUX
cord-121428-79wyxedn	220	3	identify	identify	VERB
cord-121428-79wyxedn	220	4	three	three	NUM
cord-121428-79wyxedn	220	5	scenarios	scenario	NOUN
cord-121428-79wyxedn	220	6	.	.	PUNCT
cord-121428-79wyxedn	221	1	the	the	DET
cord-121428-79wyxedn	221	2	first	first	ADJ
cord-121428-79wyxedn	221	3	on	on	ADP
cord-121428-79wyxedn	221	4	the	the	DET
cord-121428-79wyxedn	221	5	top	top	NOUN
cord-121428-79wyxedn	221	6	gives	give	VERB
cord-121428-79wyxedn	221	7	a	a	DET
cord-121428-79wyxedn	221	8	slightly	slightly	ADV
cord-121428-79wyxedn	221	9	change	change	NOUN
cord-121428-79wyxedn	221	10	to	to	ADP
cord-121428-79wyxedn	221	11	the	the	DET
cord-121428-79wyxedn	221	12	standard	standard	ADJ
cord-121428-79wyxedn	221	13	epidemic	epidemic	NOUN
cord-121428-79wyxedn	221	14	dynamics	dynamic	NOUN
cord-121428-79wyxedn	221	15	.	.	PUNCT
cord-121428-79wyxedn	222	1	indeed	indeed	ADV
cord-121428-79wyxedn	222	2	,	,	PUNCT
cord-121428-79wyxedn	222	3	we	we	PRON
cord-121428-79wyxedn	222	4	can	can	AUX
cord-121428-79wyxedn	222	5	observe	observe	VERB
cord-121428-79wyxedn	222	6	around	around	ADP
cord-121428-79wyxedn	222	7	t	t	PROPN
cord-121428-79wyxedn	222	8	=	=	SYM
cord-121428-79wyxedn	222	9	7.5	7.5	NUM
cord-121428-79wyxedn	222	10	a	a	DET
cord-121428-79wyxedn	222	11	reduction	reduction	NOUN
cord-121428-79wyxedn	222	12	of	of	ADP
cord-121428-79wyxedn	222	13	the	the	DET
cord-121428-79wyxedn	222	14	speed	speed	NOUN
cord-121428-79wyxedn	222	15	of	of	ADP
cord-121428-79wyxedn	222	16	the	the	DET
cord-121428-79wyxedn	222	17	infection	infection	NOUN
cord-121428-79wyxedn	222	18	.	.	PUNCT
cord-121428-79wyxedn	223	1	for	for	ADP
cord-121428-79wyxedn	223	2	the	the	DET
cord-121428-79wyxedn	223	3	second	second	ADJ
cord-121428-79wyxedn	223	4	,	,	PUNCT
cord-121428-79wyxedn	223	5	we	we	PRON
cord-121428-79wyxedn	223	6	observe	observe	VERB
cord-121428-79wyxedn	223	7	an	an	DET
cord-121428-79wyxedn	223	8	inversion	inversion	NOUN
cord-121428-79wyxedn	223	9	in	in	ADP
cord-121428-79wyxedn	223	10	the	the	DET
cord-121428-79wyxedn	223	11	trend	trend	NOUN
cord-121428-79wyxedn	223	12	of	of	ADP
cord-121428-79wyxedn	223	13	the	the	DET
cord-121428-79wyxedn	223	14	epidemic	epidemic	NOUN
cord-121428-79wyxedn	223	15	around	around	ADP
cord-121428-79wyxedn	223	16	t	t	PROPN
cord-121428-79wyxedn	223	17	=	=	NOUN
cord-121428-79wyxedn	223	18	4	4	NUM
cord-121428-79wyxedn	223	19	,	,	PUNCT
cord-121428-79wyxedn	223	20	while	while	SCONJ
cord-121428-79wyxedn	223	21	for	for	ADP
cord-121428-79wyxedn	223	22	the	the	DET
cord-121428-79wyxedn	223	23	third	third	ADJ
cord-121428-79wyxedn	223	24	case	case	NOUN
cord-121428-79wyxedn	223	25	we	we	PRON
cord-121428-79wyxedn	223	26	first	first	ADV
cord-121428-79wyxedn	223	27	observe	observe	VERB
cord-121428-79wyxedn	223	28	inversion	inversion	NOUN
cord-121428-79wyxedn	223	29	and	and	CCONJ
cord-121428-79wyxedn	223	30	then	then	ADV
cord-121428-79wyxedn	223	31	the	the	DET
cord-121428-79wyxedn	223	32	resurgence	resurgence	NOUN
cord-121428-79wyxedn	223	33	of	of	ADP
cord-121428-79wyxedn	223	34	the	the	DET
cord-121428-79wyxedn	223	35	number	number	NOUN
cord-121428-79wyxedn	223	36	of	of	ADP
cord-121428-79wyxedn	223	37	infected	infect	VERB
cord-121428-79wyxedn	223	38	when	when	SCONJ
cord-121428-79wyxedn	223	39	the	the	DET
cord-121428-79wyxedn	223	40	lockdown	lockdown	NOUN
cord-121428-79wyxedn	223	41	measures	measure	NOUN
cord-121428-79wyxedn	223	42	are	be	AUX
cord-121428-79wyxedn	223	43	relaxed	relax	VERB
cord-121428-79wyxedn	223	44	.	.	PUNCT
cord-121428-79wyxedn	224	1	in	in	ADP
cord-121428-79wyxedn	224	2	this	this	DET
cord-121428-79wyxedn	224	3	part	part	NOUN
cord-121428-79wyxedn	224	4	,	,	PUNCT
cord-121428-79wyxedn	224	5	we	we	PRON
cord-121428-79wyxedn	224	6	consider	consider	VERB
cord-121428-79wyxedn	224	7	data	datum	NOUN
cord-121428-79wyxedn	224	8	about	about	ADP
cord-121428-79wyxedn	224	9	the	the	DET
cord-121428-79wyxedn	224	10	dynamics	dynamic	NOUN
cord-121428-79wyxedn	224	11	of	of	ADP
cord-121428-79wyxedn	224	12	covid-19	covid-19	NUM
cord-121428-79wyxedn	224	13	in	in	ADP
cord-121428-79wyxedn	224	14	three	three	NUM
cord-121428-79wyxedn	224	15	european	european	ADJ
cord-121428-79wyxedn	224	16	countries	country	NOUN
cord-121428-79wyxedn	224	17	:	:	PUNCT
cord-121428-79wyxedn	224	18	france	france	PROPN
cord-121428-79wyxedn	224	19	,	,	PUNCT
cord-121428-79wyxedn	224	20	italy	italy	PROPN
cord-121428-79wyxedn	224	21	and	and	CCONJ
cord-121428-79wyxedn	224	22	spain	spain	PROPN
cord-121428-79wyxedn	224	23	.	.	PUNCT
cord-121428-79wyxedn	225	1	for	for	ADP
cord-121428-79wyxedn	225	2	these	these	DET
cord-121428-79wyxedn	225	3	three	three	NUM
cord-121428-79wyxedn	225	4	countries	country	NOUN
cord-121428-79wyxedn	225	5	,	,	PUNCT
cord-121428-79wyxedn	225	6	the	the	DET
cord-121428-79wyxedn	225	7	evolution	evolution	NOUN
cord-121428-79wyxedn	225	8	of	of	ADP
cord-121428-79wyxedn	225	9	the	the	DET
cord-121428-79wyxedn	225	10	disease	disease	NOUN
cord-121428-79wyxedn	225	11	,	,	PUNCT
cord-121428-79wyxedn	225	12	in	in	ADP
cord-121428-79wyxedn	225	13	terms	term	NOUN
cord-121428-79wyxedn	225	14	of	of	ADP
cord-121428-79wyxedn	225	15	reported	reported	ADJ
cord-121428-79wyxedn	225	16	cases	case	NOUN
cord-121428-79wyxedn	225	17	,	,	PUNCT
cord-121428-79wyxedn	225	18	evolved	evolve	VERB
cord-121428-79wyxedn	225	19	in	in	ADP
cord-121428-79wyxedn	225	20	rather	rather	ADV
cord-121428-79wyxedn	225	21	different	different	ADJ
cord-121428-79wyxedn	225	22	ways	way	NOUN
cord-121428-79wyxedn	225	23	.	.	PUNCT
cord-121428-79wyxedn	226	1	the	the	DET
cord-121428-79wyxedn	226	2	estimation	estimation	NOUN
cord-121428-79wyxedn	226	3	of	of	ADP
cord-121428-79wyxedn	226	4	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	226	5	parameters	parameter	NOUN
cord-121428-79wyxedn	226	6	of	of	ADP
cord-121428-79wyxedn	226	7	compartmental	compartmental	NOUN
cord-121428-79wyxedn	226	8	models	model	NOUN
cord-121428-79wyxedn	226	9	is	be	AUX
cord-121428-79wyxedn	226	10	an	an	DET
cord-121428-79wyxedn	226	11	inverse	inverse	ADJ
cord-121428-79wyxedn	226	12	problem	problem	NOUN
cord-121428-79wyxedn	226	13	of	of	ADP
cord-121428-79wyxedn	226	14	generally	generally	ADV
cord-121428-79wyxedn	226	15	difficult	difficult	ADJ
cord-121428-79wyxedn	226	16	solution	solution	NOUN
cord-121428-79wyxedn	226	17	for	for	ADP
cord-121428-79wyxedn	226	18	which	which	PRON
cord-121428-79wyxedn	226	19	different	different	ADJ
cord-121428-79wyxedn	226	20	approaches	approach	NOUN
cord-121428-79wyxedn	226	21	can	can	AUX
cord-121428-79wyxedn	226	22	be	be	AUX
cord-121428-79wyxedn	226	23	considered	consider	VERB
cord-121428-79wyxedn	226	24	.	.	PUNCT
cord-121428-79wyxedn	227	1	we	we	PRON
cord-121428-79wyxedn	227	2	mention	mention	VERB
cord-121428-79wyxedn	227	3	in	in	ADP
cord-121428-79wyxedn	227	4	this	this	DET
cord-121428-79wyxedn	227	5	direction	direction	NOUN
cord-121428-79wyxedn	227	6	a	a	DET
cord-121428-79wyxedn	227	7	very	very	ADV
cord-121428-79wyxedn	227	8	recent	recent	ADJ
cord-121428-79wyxedn	227	9	comparison	comparison	NOUN
cord-121428-79wyxedn	227	10	study	study	NOUN
cord-121428-79wyxedn	227	11	[	[	PUNCT
cord-121428-79wyxedn	227	12	36	36	NUM
cord-121428-79wyxedn	227	13	]	]	PUNCT
cord-121428-79wyxedn	227	14	.	.	PUNCT
cord-121428-79wyxedn	228	1	it	it	PRON
cord-121428-79wyxedn	228	2	is	be	AUX
cord-121428-79wyxedn	228	3	also	also	ADV
cord-121428-79wyxedn	228	4	worth	worth	ADJ
cord-121428-79wyxedn	228	5	to	to	PART
cord-121428-79wyxedn	228	6	mention	mention	VERB
cord-121428-79wyxedn	228	7	that	that	SCONJ
cord-121428-79wyxedn	228	8	often	often	ADV
cord-121428-79wyxedn	228	9	the	the	DET
cord-121428-79wyxedn	228	10	data	datum	NOUN
cord-121428-79wyxedn	228	11	are	be	AUX
cord-121428-79wyxedn	228	12	partial	partial	ADJ
cord-121428-79wyxedn	228	13	and	and	CCONJ
cord-121428-79wyxedn	228	14	heterogeneous	heterogeneous	ADJ
cord-121428-79wyxedn	228	15	with	with	ADP
cord-121428-79wyxedn	228	16	respect	respect	NOUN
cord-121428-79wyxedn	228	17	to	to	ADP
cord-121428-79wyxedn	228	18	their	their	PRON
cord-121428-79wyxedn	228	19	assimilation	assimilation	NOUN
cord-121428-79wyxedn	228	20	,	,	PUNCT
cord-121428-79wyxedn	228	21	see	see	VERB
cord-121428-79wyxedn	228	22	for	for	ADP
cord-121428-79wyxedn	228	23	instance	instance	NOUN
cord-121428-79wyxedn	228	24	discussions	discussion	NOUN
cord-121428-79wyxedn	228	25	in	in	ADP
cord-121428-79wyxedn	228	26	[	[	X
cord-121428-79wyxedn	228	27	1	1	NUM
cord-121428-79wyxedn	228	28	,	,	PUNCT
cord-121428-79wyxedn	228	29	7	7	NUM
cord-121428-79wyxedn	228	30	,	,	PUNCT
cord-121428-79wyxedn	228	31	9	9	NUM
cord-121428-79wyxedn	228	32	,	,	PUNCT
cord-121428-79wyxedn	228	33	44	44	NUM
cord-121428-79wyxedn	228	34	]	]	PUNCT
cord-121428-79wyxedn	228	35	.	.	PUNCT
cord-121428-79wyxedn	229	1	this	this	PRON
cord-121428-79wyxedn	229	2	makes	make	VERB
cord-121428-79wyxedn	229	3	the	the	DET
cord-121428-79wyxedn	229	4	fitting	fitting	ADJ
cord-121428-79wyxedn	229	5	problem	problem	NOUN
cord-121428-79wyxedn	229	6	challenging	challenge	VERB
cord-121428-79wyxedn	229	7	and	and	CCONJ
cord-121428-79wyxedn	229	8	the	the	DET
cord-121428-79wyxedn	229	9	results	result	NOUN
cord-121428-79wyxedn	229	10	naturally	naturally	ADV
cord-121428-79wyxedn	229	11	affected	affect	VERB
cord-121428-79wyxedn	229	12	by	by	ADP
cord-121428-79wyxedn	229	13	uncertainty	uncertainty	NOUN
cord-121428-79wyxedn	229	14	.	.	PUNCT
cord-121428-79wyxedn	230	1	the	the	DET
cord-121428-79wyxedn	230	2	data	datum	NOUN
cord-121428-79wyxedn	230	3	concerning	concern	VERB
cord-121428-79wyxedn	230	4	the	the	DET
cord-121428-79wyxedn	230	5	actual	actual	ADJ
cord-121428-79wyxedn	230	6	number	number	NOUN
cord-121428-79wyxedn	230	7	of	of	ADP
cord-121428-79wyxedn	230	8	infected	infect	VERB
cord-121428-79wyxedn	230	9	,	,	PUNCT
cord-121428-79wyxedn	230	10	recovered	recover	VERB
cord-121428-79wyxedn	230	11	and	and	CCONJ
cord-121428-79wyxedn	230	12	deaths	death	NOUN
cord-121428-79wyxedn	230	13	of	of	ADP
cord-121428-79wyxedn	230	14	covid-19	covid-19	PROPN
cord-121428-79wyxedn	230	15	are	be	AUX
cord-121428-79wyxedn	230	16	publicly	publicly	ADV
cord-121428-79wyxedn	230	17	available	available	ADJ
cord-121428-79wyxedn	230	18	from	from	ADP
cord-121428-79wyxedn	230	19	the	the	DET
cord-121428-79wyxedn	230	20	john	john	PROPN
cord-121428-79wyxedn	230	21	hopkins	hopkins	PROPN
cord-121428-79wyxedn	230	22	university	university	PROPN
cord-121428-79wyxedn	230	23	github	github	PROPN
cord-121428-79wyxedn	230	24	repository	repository	PROPN
cord-121428-79wyxedn	230	25	[	[	X
cord-121428-79wyxedn	230	26	16	16	NUM
cord-121428-79wyxedn	230	27	]	]	PUNCT
cord-121428-79wyxedn	230	28	.	.	PUNCT
cord-121428-79wyxedn	231	1	for	for	ADP
cord-121428-79wyxedn	231	2	the	the	DET
cord-121428-79wyxedn	231	3	specific	specific	ADJ
cord-121428-79wyxedn	231	4	case	case	NOUN
cord-121428-79wyxedn	231	5	of	of	ADP
cord-121428-79wyxedn	231	6	italy	italy	PROPN
cord-121428-79wyxedn	231	7	,	,	PUNCT
cord-121428-79wyxedn	231	8	we	we	PRON
cord-121428-79wyxedn	231	9	considered	consider	VERB
cord-121428-79wyxedn	231	10	instead	instead	ADV
cord-121428-79wyxedn	231	11	the	the	DET
cord-121428-79wyxedn	231	12	github	github	PROPN
cord-121428-79wyxedn	231	13	repository	repository	NOUN
cord-121428-79wyxedn	231	14	of	of	ADP
cord-121428-79wyxedn	231	15	the	the	DET
cord-121428-79wyxedn	231	16	italian	italian	ADJ
cord-121428-79wyxedn	231	17	civil	civil	ADJ
cord-121428-79wyxedn	231	18	protection	protection	NOUN
cord-121428-79wyxedn	231	19	department	department	PROPN
cord-121428-79wyxedn	232	1	[	[	PUNCT
cord-121428-79wyxedn	232	2	41	41	NUM
cord-121428-79wyxedn	232	3	]	]	PUNCT
cord-121428-79wyxedn	232	4	.	.	PUNCT
cord-121428-79wyxedn	233	1	in	in	ADP
cord-121428-79wyxedn	233	2	the	the	DET
cord-121428-79wyxedn	233	3	following	following	NOUN
cord-121428-79wyxedn	233	4	,	,	PUNCT
cord-121428-79wyxedn	233	5	we	we	PRON
cord-121428-79wyxedn	233	6	present	present	VERB
cord-121428-79wyxedn	233	7	the	the	DET
cord-121428-79wyxedn	233	8	adopted	adopt	VERB
cord-121428-79wyxedn	233	9	approach	approach	NOUN
cord-121428-79wyxedn	233	10	which	which	PRON
cord-121428-79wyxedn	233	11	is	be	AUX
cord-121428-79wyxedn	233	12	based	base	VERB
cord-121428-79wyxedn	233	13	on	on	ADP
cord-121428-79wyxedn	233	14	a	a	DET
cord-121428-79wyxedn	233	15	strategy	strategy	NOUN
cord-121428-79wyxedn	233	16	with	with	ADP
cord-121428-79wyxedn	233	17	two	two	NUM
cord-121428-79wyxedn	233	18	optimisation	optimisation	NOUN
cord-121428-79wyxedn	233	19	horizons	horizon	NOUN
cord-121428-79wyxedn	233	20	(	(	PUNCT
cord-121428-79wyxedn	233	21	pre	pre	ADJ
cord-121428-79wyxedn	233	22	-	-	ADJ
cord-121428-79wyxedn	233	23	lockdown	lockdown	ADJ
cord-121428-79wyxedn	233	24	and	and	CCONJ
cord-121428-79wyxedn	233	25	lockdown	lockdown	NOUN
cord-121428-79wyxedn	233	26	time	time	NOUN
cord-121428-79wyxedn	233	27	spans	span	VERB
cord-121428-79wyxedn	233	28	)	)	PUNCT
cord-121428-79wyxedn	233	29	depending	depend	VERB
cord-121428-79wyxedn	233	30	on	on	ADP
cord-121428-79wyxedn	233	31	the	the	DET
cord-121428-79wyxedn	233	32	different	different	ADJ
cord-121428-79wyxedn	233	33	strategies	strategy	NOUN
cord-121428-79wyxedn	233	34	enacted	enact	VERB
cord-121428-79wyxedn	233	35	by	by	ADP
cord-121428-79wyxedn	233	36	the	the	DET
cord-121428-79wyxedn	233	37	governments	government	NOUN
cord-121428-79wyxedn	233	38	of	of	ADP
cord-121428-79wyxedn	233	39	the	the	DET
cord-121428-79wyxedn	233	40	considered	considered	ADJ
cord-121428-79wyxedn	233	41	european	european	ADJ
cord-121428-79wyxedn	233	42	countries	country	NOUN
cord-121428-79wyxedn	233	43	.	.	PUNCT
cord-121428-79wyxedn	234	1	in	in	ADP
cord-121428-79wyxedn	234	2	details	detail	NOUN
cord-121428-79wyxedn	234	3	,	,	PUNCT
cord-121428-79wyxedn	234	4	we	we	PRON
cord-121428-79wyxedn	234	5	considered	consider	VERB
cord-121428-79wyxedn	234	6	first	first	ADV
cord-121428-79wyxedn	234	7	the	the	DET
cord-121428-79wyxedn	234	8	time	time	NOUN
cord-121428-79wyxedn	234	9	interval	interval	NOUN
cord-121428-79wyxedn	234	10	t	t	NOUN
cord-121428-79wyxedn	234	11	∈	∈	NOUN
cord-121428-79wyxedn	235	1	[	[	X
cord-121428-79wyxedn	235	2	t	t	NOUN
cord-121428-79wyxedn	235	3	0	0	NUM
cord-121428-79wyxedn	235	4	,	,	PUNCT
cord-121428-79wyxedn	235	5	t	t	NOUN
cord-121428-79wyxedn	235	6	]	]	PUNCT
cord-121428-79wyxedn	235	7	,	,	PUNCT
cord-121428-79wyxedn	235	8	being	be	AUX
cord-121428-79wyxedn	235	9	t	t	NOUN
cord-121428-79wyxedn	235	10	the	the	DET
cord-121428-79wyxedn	235	11	day	day	NOUN
cord-121428-79wyxedn	235	12	in	in	ADP
cord-121428-79wyxedn	235	13	which	which	PRON
cord-121428-79wyxedn	235	14	lockdown	lockdown	NOUN
cord-121428-79wyxedn	235	15	started	start	VERB
cord-121428-79wyxedn	235	16	in	in	ADP
cord-121428-79wyxedn	235	17	each	each	DET
cord-121428-79wyxedn	235	18	country	country	NOUN
cord-121428-79wyxedn	235	19	(	(	PUNCT
cord-121428-79wyxedn	235	20	spain	spain	PROPN
cord-121428-79wyxedn	235	21	,	,	PUNCT
cord-121428-79wyxedn	235	22	italy	italy	PROPN
cord-121428-79wyxedn	235	23	and	and	CCONJ
cord-121428-79wyxedn	235	24	france	france	PROPN
cord-121428-79wyxedn	235	25	)	)	PUNCT
cord-121428-79wyxedn	235	26	and	and	CCONJ
cord-121428-79wyxedn	235	27	t	t	PROPN
cord-121428-79wyxedn	235	28	0	0	NUM
cord-121428-79wyxedn	235	29	the	the	DET
cord-121428-79wyxedn	235	30	day	day	NOUN
cord-121428-79wyxedn	235	31	in	in	ADP
cord-121428-79wyxedn	235	32	which	which	PRON
cord-121428-79wyxedn	235	33	the	the	DET
cord-121428-79wyxedn	235	34	reported	report	VERB
cord-121428-79wyxedn	235	35	cases	case	NOUN
cord-121428-79wyxedn	235	36	hit	hit	VERB
cord-121428-79wyxedn	235	37	200	200	NUM
cord-121428-79wyxedn	235	38	units	unit	NOUN
cord-121428-79wyxedn	235	39	.	.	PUNCT
cord-121428-79wyxedn	236	1	the	the	DET
cord-121428-79wyxedn	236	2	lower	lower	ADV
cord-121428-79wyxedn	236	3	bound	bind	VERB
cord-121428-79wyxedn	236	4	t	t	NOUN
cord-121428-79wyxedn	236	5	0	0	PUNCT
cord-121428-79wyxedn	236	6	has	have	AUX
cord-121428-79wyxedn	236	7	been	be	AUX
cord-121428-79wyxedn	236	8	imposed	impose	VERB
cord-121428-79wyxedn	236	9	to	to	PART
cord-121428-79wyxedn	236	10	reduce	reduce	VERB
cord-121428-79wyxedn	236	11	the	the	DET
cord-121428-79wyxedn	236	12	effects	effect	NOUN
cord-121428-79wyxedn	236	13	of	of	ADP
cord-121428-79wyxedn	236	14	fluctuations	fluctuation	NOUN
cord-121428-79wyxedn	236	15	caused	cause	VERB
cord-121428-79wyxedn	236	16	by	by	ADP
cord-121428-79wyxedn	236	17	the	the	DET
cord-121428-79wyxedn	236	18	way	way	NOUN
cord-121428-79wyxedn	236	19	in	in	ADP
cord-121428-79wyxedn	236	20	which	which	PRON
cord-121428-79wyxedn	236	21	data	datum	NOUN
cord-121428-79wyxedn	236	22	are	be	AUX
cord-121428-79wyxedn	236	23	measured	measure	VERB
cord-121428-79wyxedn	236	24	which	which	PRON
cord-121428-79wyxedn	236	25	have	have	VERB
cord-121428-79wyxedn	236	26	a	a	DET
cord-121428-79wyxedn	236	27	stronger	strong	ADJ
cord-121428-79wyxedn	236	28	impact	impact	NOUN
cord-121428-79wyxedn	236	29	when	when	SCONJ
cord-121428-79wyxedn	236	30	the	the	DET
cord-121428-79wyxedn	236	31	number	number	NOUN
cord-121428-79wyxedn	236	32	of	of	ADP
cord-121428-79wyxedn	236	33	infected	infect	VERB
cord-121428-79wyxedn	236	34	is	be	AUX
cord-121428-79wyxedn	236	35	low	low	ADJ
cord-121428-79wyxedn	236	36	.	.	PUNCT
cord-121428-79wyxedn	237	1	once	once	SCONJ
cord-121428-79wyxedn	237	2	the	the	DET
cord-121428-79wyxedn	237	3	time	time	NOUN
cord-121428-79wyxedn	237	4	span	span	NOUN
cord-121428-79wyxedn	237	5	has	have	AUX
cord-121428-79wyxedn	237	6	been	be	AUX
cord-121428-79wyxedn	237	7	fixed	fix	VERB
cord-121428-79wyxedn	237	8	,	,	PUNCT
cord-121428-79wyxedn	237	9	we	we	PRON
cord-121428-79wyxedn	237	10	then	then	ADV
cord-121428-79wyxedn	237	11	considered	consider	VERB
cord-121428-79wyxedn	237	12	a	a	DET
cord-121428-79wyxedn	237	13	least	least	ADV
cord-121428-79wyxedn	237	14	square	square	ADJ
cord-121428-79wyxedn	237	15	problem	problem	NOUN
cord-121428-79wyxedn	237	16	based	base	VERB
cord-121428-79wyxedn	237	17	on	on	ADP
cord-121428-79wyxedn	237	18	the	the	DET
cord-121428-79wyxedn	237	19	minimization	minimization	NOUN
cord-121428-79wyxedn	237	20	of	of	ADP
cord-121428-79wyxedn	237	21	a	a	DET
cord-121428-79wyxedn	237	22	cost	cost	NOUN
cord-121428-79wyxedn	237	23	functional	functional	NOUN
cord-121428-79wyxedn	237	24	j	j	NOUN
cord-121428-79wyxedn	237	25	which	which	PRON
cord-121428-79wyxedn	237	26	takes	take	VERB
cord-121428-79wyxedn	237	27	into	into	ADP
cord-121428-79wyxedn	237	28	account	account	NOUN
cord-121428-79wyxedn	237	29	the	the	DET
cord-121428-79wyxedn	237	30	relative	relative	NOUN
cord-121428-79wyxedn	237	31	l	l	NOUN
cord-121428-79wyxedn	237	32	2	2	NUM
cord-121428-79wyxedn	237	33	norm	norm	NOUN
cord-121428-79wyxedn	237	34	of	of	ADP
cord-121428-79wyxedn	237	35	the	the	DET
cord-121428-79wyxedn	237	36	difference	difference	NOUN
cord-121428-79wyxedn	237	37	between	between	ADP
cord-121428-79wyxedn	237	38	the	the	DET
cord-121428-79wyxedn	237	39	reported	reported	ADJ
cord-121428-79wyxedn	237	40	number	number	NOUN
cord-121428-79wyxedn	237	41	of	of	ADP
cord-121428-79wyxedn	237	42	infected	infect	VERB
cord-121428-79wyxedn	237	43	and	and	CCONJ
cord-121428-79wyxedn	237	44	the	the	DET
cord-121428-79wyxedn	237	45	reported	reported	ADJ
cord-121428-79wyxedn	237	46	total	total	PROPN
cord-121428-79wyxedn	237	47	casesî(t),î(t	casesî(t),î(t	PROPN
cord-121428-79wyxedn	237	48	)	)	PUNCT
cord-121428-79wyxedn	237	49	+	+	VERB
cord-121428-79wyxedn	237	50	r(t	r(t	NOUN
cord-121428-79wyxedn	237	51	)	)	PUNCT
cord-121428-79wyxedn	237	52	and	and	CCONJ
cord-121428-79wyxedn	237	53	the	the	DET
cord-121428-79wyxedn	237	54	evolution	evolution	NOUN
cord-121428-79wyxedn	237	55	of	of	ADP
cord-121428-79wyxedn	237	56	i(t	i(t	PROPN
cord-121428-79wyxedn	237	57	)	)	PUNCT
cord-121428-79wyxedn	237	58	and	and	CCONJ
cord-121428-79wyxedn	237	59	i(t	i(t	PROPN
cord-121428-79wyxedn	237	60	)	)	PUNCT
cord-121428-79wyxedn	237	61	+	+	SYM
cord-121428-79wyxedn	237	62	r(t	r(t	NOUN
cord-121428-79wyxedn	237	63	)	)	PUNCT
cord-121428-79wyxedn	237	64	prescribed	prescribe	VERB
cord-121428-79wyxedn	237	65	by	by	ADP
cord-121428-79wyxedn	237	66	system	system	NOUN
cord-121428-79wyxedn	237	67	(	(	PUNCT
cord-121428-79wyxedn	237	68	26	26	NUM
cord-121428-79wyxedn	237	69	)	)	PUNCT
cord-121428-79wyxedn	237	70	with	with	ADP
cord-121428-79wyxedn	237	71	h	h	PROPN
cord-121428-79wyxedn	237	72	≡	≡	PROPN
cord-121428-79wyxedn	237	73	1	1	NUM
cord-121428-79wyxedn	237	74	.	.	PUNCT
cord-121428-79wyxedn	238	1	in	in	ADP
cord-121428-79wyxedn	238	2	practice	practice	NOUN
cord-121428-79wyxedn	238	3	,	,	PUNCT
cord-121428-79wyxedn	238	4	we	we	PRON
cord-121428-79wyxedn	238	5	solved	solve	VERB
cord-121428-79wyxedn	238	6	the	the	DET
cord-121428-79wyxedn	238	7	following	follow	VERB
cord-121428-79wyxedn	238	8	constrained	constrain	VERB
cord-121428-79wyxedn	238	9	optimisation	optimisation	NOUN
cord-121428-79wyxedn	238	10	problem	problem	NOUN
cord-121428-79wyxedn	238	11	min	min	PROPN
cord-121428-79wyxedn	238	12	β	β	PROPN
cord-121428-79wyxedn	238	13	,	,	PUNCT
cord-121428-79wyxedn	238	14	γ	γ	PROPN
cord-121428-79wyxedn	238	15	j	j	PROPN
cord-121428-79wyxedn	238	16	(	(	PUNCT
cord-121428-79wyxedn	238	17	î	î	PROPN
cord-121428-79wyxedn	238	18	,	,	PUNCT
cord-121428-79wyxedn	238	19	r	r	PROPN
cord-121428-79wyxedn	238	20	,	,	PUNCT
cord-121428-79wyxedn	238	21	i	i	PROPN
cord-121428-79wyxedn	238	22	,	,	PUNCT
cord-121428-79wyxedn	238	23	r	r	NOUN
cord-121428-79wyxedn	238	24	)	)	PUNCT
cord-121428-79wyxedn	238	25	(	(	PUNCT
cord-121428-79wyxedn	238	26	38	38	NUM
cord-121428-79wyxedn	238	27	)	)	PUNCT
cord-121428-79wyxedn	238	28	where	where	SCONJ
cord-121428-79wyxedn	238	29	the	the	DET
cord-121428-79wyxedn	238	30	cost	cost	NOUN
cord-121428-79wyxedn	238	31	functional	functional	NOUN
cord-121428-79wyxedn	238	32	j	j	PROPN
cord-121428-79wyxedn	238	33	is	be	AUX
cord-121428-79wyxedn	238	34	a	a	DET
cord-121428-79wyxedn	238	35	convex	convex	ADJ
cord-121428-79wyxedn	238	36	combination	combination	NOUN
cord-121428-79wyxedn	238	37	of	of	ADP
cord-121428-79wyxedn	238	38	the	the	DET
cord-121428-79wyxedn	238	39	mentioned	mention	VERB
cord-121428-79wyxedn	238	40	norms	norm	NOUN
cord-121428-79wyxedn	238	41	and	and	CCONJ
cord-121428-79wyxedn	238	42	assumes	assume	VERB
cord-121428-79wyxedn	238	43	the	the	DET
cord-121428-79wyxedn	238	44	following	follow	VERB
cord-121428-79wyxedn	238	45	form	form	NOUN
cord-121428-79wyxedn	238	46	we	we	PRON
cord-121428-79wyxedn	238	47	choose	choose	VERB
cord-121428-79wyxedn	238	48	p	p	NOUN
cord-121428-79wyxedn	238	49	=	=	SYM
cord-121428-79wyxedn	238	50	0.1	0.1	NUM
cord-121428-79wyxedn	238	51	and	and	CCONJ
cord-121428-79wyxedn	238	52	we	we	PRON
cord-121428-79wyxedn	238	53	look	look	VERB
cord-121428-79wyxedn	238	54	for	for	ADP
cord-121428-79wyxedn	238	55	a	a	DET
cord-121428-79wyxedn	238	56	minimum	minimum	NOUN
cord-121428-79wyxedn	238	57	under	under	ADP
cord-121428-79wyxedn	238	58	the	the	DET
cord-121428-79wyxedn	238	59	constraints	constraint	NOUN
cord-121428-79wyxedn	239	1	0	0	NUM
cord-121428-79wyxedn	239	2	≤	≤	X
cord-121428-79wyxedn	239	3	β	β	PROPN
cord-121428-79wyxedn	239	4	≤	≤	PROPN
cord-121428-79wyxedn	239	5	0.6	0.6	NUM
cord-121428-79wyxedn	239	6	,	,	PUNCT
cord-121428-79wyxedn	239	7	0.04	0.04	NUM
cord-121428-79wyxedn	239	8	≤	≤	PROPN
cord-121428-79wyxedn	240	1	γ	γ	PROPN
cord-121428-79wyxedn	240	2	≤	≤	PROPN
cord-121428-79wyxedn	240	3	0.06	0.06	NUM
cord-121428-79wyxedn	240	4	.	.	PUNCT
cord-121428-79wyxedn	241	1	in	in	ADP
cord-121428-79wyxedn	241	2	table	table	NOUN
cord-121428-79wyxedn	241	3	1	1	NUM
cord-121428-79wyxedn	241	4	we	we	PRON
cord-121428-79wyxedn	241	5	report	report	VERB
cord-121428-79wyxedn	241	6	the	the	DET
cord-121428-79wyxedn	241	7	results	result	NOUN
cord-121428-79wyxedn	241	8	of	of	ADP
cord-121428-79wyxedn	241	9	the	the	DET
cord-121428-79wyxedn	241	10	performed	perform	VERB
cord-121428-79wyxedn	241	11	parameter	parameter	NOUN
cord-121428-79wyxedn	241	12	estimation	estimation	NOUN
cord-121428-79wyxedn	241	13	together	together	ADV
cord-121428-79wyxedn	241	14	with	with	ADP
cord-121428-79wyxedn	241	15	the	the	DET
cord-121428-79wyxedn	241	16	resulting	result	VERB
cord-121428-79wyxedn	241	17	attach	attach	NOUN
cord-121428-79wyxedn	241	18	rate	rate	NOUN
cord-121428-79wyxedn	241	19	r	r	NOUN
cord-121428-79wyxedn	241	20	0	0	X
cord-121428-79wyxedn	241	21	defined	define	VERB
cord-121428-79wyxedn	241	22	in	in	ADP
cord-121428-79wyxedn	241	23	(	(	PUNCT
cord-121428-79wyxedn	241	24	36	36	NUM
cord-121428-79wyxedn	241	25	)	)	PUNCT
cord-121428-79wyxedn	241	26	.	.	PUNCT
cord-121428-79wyxedn	242	1	once	once	ADV
cord-121428-79wyxedn	242	2	that	that	SCONJ
cord-121428-79wyxedn	242	3	the	the	DET
cord-121428-79wyxedn	242	4	contagion	contagion	ADJ
cord-121428-79wyxedn	242	5	parameters	parameter	NOUN
cord-121428-79wyxedn	242	6	have	have	AUX
cord-121428-79wyxedn	242	7	been	be	AUX
cord-121428-79wyxedn	242	8	estimated	estimate	VERB
cord-121428-79wyxedn	242	9	in	in	ADP
cord-121428-79wyxedn	242	10	the	the	DET
cord-121428-79wyxedn	242	11	pre	pre	ADJ
cord-121428-79wyxedn	242	12	-	-	ADJ
cord-121428-79wyxedn	242	13	lockdown	lockdown	ADJ
cord-121428-79wyxedn	242	14	time	time	NOUN
cord-121428-79wyxedn	242	15	span	span	NOUN
cord-121428-79wyxedn	242	16	,	,	PUNCT
cord-121428-79wyxedn	242	17	we	we	PRON
cord-121428-79wyxedn	242	18	successively	successively	ADV
cord-121428-79wyxedn	242	19	proceeded	proceed	VERB
cord-121428-79wyxedn	242	20	with	with	ADP
cord-121428-79wyxedn	242	21	the	the	DET
cord-121428-79wyxedn	242	22	estimation	estimation	NOUN
cord-121428-79wyxedn	242	23	of	of	ADP
cord-121428-79wyxedn	242	24	the	the	DET
cord-121428-79wyxedn	242	25	shape	shape	NOUN
cord-121428-79wyxedn	242	26	of	of	ADP
cord-121428-79wyxedn	242	27	the	the	DET
cord-121428-79wyxedn	242	28	function	function	NOUN
cord-121428-79wyxedn	242	29	h	h	NOUN
cord-121428-79wyxedn	242	30	from	from	ADP
cord-121428-79wyxedn	242	31	the	the	DET
cord-121428-79wyxedn	242	32	data.to	data.to	X
cord-121428-79wyxedn	242	33	estimate	estimate	NOUN
cord-121428-79wyxedn	242	34	the	the	DET
cord-121428-79wyxedn	242	35	second	second	ADJ
cord-121428-79wyxedn	242	36	optimisation	optimisation	NOUN
cord-121428-79wyxedn	242	37	problem	problem	NOUN
cord-121428-79wyxedn	242	38	has	have	AUX
cord-121428-79wyxedn	242	39	been	be	AUX
cord-121428-79wyxedn	242	40	solved	solve	VERB
cord-121428-79wyxedn	242	41	up	up	ADP
cord-121428-79wyxedn	242	42	to	to	ADP
cord-121428-79wyxedn	242	43	last	last	VERB
cord-121428-79wyxedn	242	44	available	available	ADJ
cord-121428-79wyxedn	242	45	data	datum	NOUN
cord-121428-79wyxedn	242	46	for	for	ADP
cord-121428-79wyxedn	242	47	each	each	DET
cord-121428-79wyxedn	242	48	country	country	NOUN
cord-121428-79wyxedn	242	49	with	with	ADP
cord-121428-79wyxedn	242	50	daily	daily	ADJ
cord-121428-79wyxedn	242	51	time	time	NOUN
cord-121428-79wyxedn	242	52	stepping	step	VERB
cord-121428-79wyxedn	242	53	h	h	PROPN
cord-121428-79wyxedn	242	54	=	=	SYM
cord-121428-79wyxedn	242	55	1	1	NUM
cord-121428-79wyxedn	242	56	and	and	CCONJ
cord-121428-79wyxedn	242	57	over	over	ADP
cord-121428-79wyxedn	242	58	a	a	DET
cord-121428-79wyxedn	242	59	time	time	NOUN
cord-121428-79wyxedn	242	60	window	window	NOUN
cord-121428-79wyxedn	242	61	of	of	ADP
cord-121428-79wyxedn	242	62	three	three	NUM
cord-121428-79wyxedn	242	63	days	day	NOUN
cord-121428-79wyxedn	242	64	.	.	PUNCT
cord-121428-79wyxedn	243	1	this	this	PRON
cord-121428-79wyxedn	243	2	has	have	AUX
cord-121428-79wyxedn	243	3	been	be	AUX
cord-121428-79wyxedn	243	4	done	do	VERB
cord-121428-79wyxedn	243	5	with	with	ADP
cord-121428-79wyxedn	243	6	the	the	DET
cord-121428-79wyxedn	243	7	scope	scope	NOUN
cord-121428-79wyxedn	243	8	of	of	ADP
cord-121428-79wyxedn	243	9	regularizing	regularize	VERB
cord-121428-79wyxedn	243	10	possible	possible	ADJ
cord-121428-79wyxedn	243	11	errors	error	NOUN
cord-121428-79wyxedn	243	12	due	due	ADP
cord-121428-79wyxedn	243	13	to	to	ADP
cord-121428-79wyxedn	243	14	late	late	ADV
cord-121428-79wyxedn	243	15	reported	report	VERB
cord-121428-79wyxedn	243	16	infected	infected	ADJ
cord-121428-79wyxedn	243	17	and	and	CCONJ
cord-121428-79wyxedn	243	18	smoothing	smooth	VERB
cord-121428-79wyxedn	243	19	the	the	DET
cord-121428-79wyxedn	243	20	shape	shape	NOUN
cord-121428-79wyxedn	243	21	of	of	ADP
cord-121428-79wyxedn	243	22	h.	h.	NOUN
cord-121428-79wyxedn	243	23	both	both	DET
cord-121428-79wyxedn	243	24	optimisation	optimisation	NOUN
cord-121428-79wyxedn	243	25	problems	problem	NOUN
cord-121428-79wyxedn	243	26	(	(	PUNCT
cord-121428-79wyxedn	243	27	38)(39	38)(39	NUM
cord-121428-79wyxedn	243	28	)	)	PUNCT
cord-121428-79wyxedn	243	29	have	have	AUX
cord-121428-79wyxedn	243	30	been	be	AUX
cord-121428-79wyxedn	243	31	tackled	tackle	VERB
cord-121428-79wyxedn	243	32	using	use	VERB
cord-121428-79wyxedn	243	33	the	the	DET
cord-121428-79wyxedn	243	34	matlab	matlab	PROPN
cord-121428-79wyxedn	243	35	functions	function	NOUN
cord-121428-79wyxedn	243	36	fmincon	fmincon	VERB
cord-121428-79wyxedn	243	37	in	in	ADP
cord-121428-79wyxedn	243	38	combination	combination	NOUN
cord-121428-79wyxedn	243	39	with	with	ADP
cord-121428-79wyxedn	243	40	a	a	DET
cord-121428-79wyxedn	243	41	rk4	rk4	ADJ
cord-121428-79wyxedn	243	42	integration	integration	NOUN
cord-121428-79wyxedn	243	43	method	method	NOUN
cord-121428-79wyxedn	243	44	of	of	ADP
cord-121428-79wyxedn	243	45	the	the	DET
cord-121428-79wyxedn	243	46	system	system	NOUN
cord-121428-79wyxedn	243	47	of	of	ADP
cord-121428-79wyxedn	243	48	odes	ode	NOUN
cord-121428-79wyxedn	243	49	.	.	PUNCT
cord-121428-79wyxedn	244	1	in	in	ADP
cord-121428-79wyxedn	244	2	figure	figure	NOUN
cord-121428-79wyxedn	244	3	5	5	NUM
cord-121428-79wyxedn	244	4	,	,	PUNCT
cord-121428-79wyxedn	244	5	we	we	PRON
cord-121428-79wyxedn	244	6	present	present	VERB
cord-121428-79wyxedn	244	7	the	the	DET
cord-121428-79wyxedn	244	8	result	result	NOUN
cord-121428-79wyxedn	244	9	of	of	ADP
cord-121428-79wyxedn	244	10	such	such	ADJ
cord-121428-79wyxedn	244	11	fitting	fitting	ADJ
cord-121428-79wyxedn	244	12	procedure	procedure	NOUN
cord-121428-79wyxedn	244	13	between	between	ADP
cord-121428-79wyxedn	244	14	the	the	DET
cord-121428-79wyxedn	244	15	model	model	NOUN
cord-121428-79wyxedn	244	16	(	(	PUNCT
cord-121428-79wyxedn	244	17	26	26	NUM
cord-121428-79wyxedn	244	18	)	)	PUNCT
cord-121428-79wyxedn	244	19	and	and	CCONJ
cord-121428-79wyxedn	244	20	the	the	DET
cord-121428-79wyxedn	244	21	experimental	experimental	ADJ
cord-121428-79wyxedn	244	22	data	datum	NOUN
cord-121428-79wyxedn	244	23	.	.	PUNCT
cord-121428-79wyxedn	245	1	the	the	DET
cord-121428-79wyxedn	245	2	evolution	evolution	NOUN
cord-121428-79wyxedn	245	3	of	of	ADP
cord-121428-79wyxedn	245	4	the	the	DET
cord-121428-79wyxedn	245	5	estimated	estimate	VERB
cord-121428-79wyxedn	245	6	h(t	h(t	PROPN
cord-121428-79wyxedn	245	7	)	)	PUNCT
cord-121428-79wyxedn	245	8	,	,	PUNCT
cord-121428-79wyxedn	245	9	t	t	NOUN
cord-121428-79wyxedn	245	10	∈	∈	NOUN
cord-121428-79wyxedn	246	1	[	[	X
cord-121428-79wyxedn	246	2	t	t	NOUN
cord-121428-79wyxedn	246	3	,	,	PUNCT
cord-121428-79wyxedn	246	4	t	t	NOUN
cord-121428-79wyxedn	246	5	]	]	PUNCT
cord-121428-79wyxedn	246	6	,	,	PUNCT
cord-121428-79wyxedn	246	7	is	be	AUX
cord-121428-79wyxedn	246	8	instead	instead	ADV
cord-121428-79wyxedn	246	9	presented	present	VERB
cord-121428-79wyxedn	246	10	in	in	ADP
cord-121428-79wyxedn	246	11	the	the	DET
cord-121428-79wyxedn	246	12	left	left	ADJ
cord-121428-79wyxedn	246	13	column	column	NOUN
cord-121428-79wyxedn	246	14	of	of	ADP
cord-121428-79wyxedn	246	15	figure	figure	NOUN
cord-121428-79wyxedn	246	16	6	6	NUM
cord-121428-79wyxedn	246	17	.	.	PUNCT
cord-121428-79wyxedn	247	1	from	from	ADP
cord-121428-79wyxedn	247	2	this	this	DET
cord-121428-79wyxedn	247	3	figure	figure	NOUN
cord-121428-79wyxedn	247	4	,	,	PUNCT
cord-121428-79wyxedn	247	5	it	it	PRON
cord-121428-79wyxedn	247	6	can	can	AUX
cord-121428-79wyxedn	247	7	be	be	AUX
cord-121428-79wyxedn	247	8	observed	observe	VERB
cord-121428-79wyxedn	247	9	in	in	ADP
cord-121428-79wyxedn	247	10	the	the	DET
cord-121428-79wyxedn	247	11	case	case	NOUN
cord-121428-79wyxedn	247	12	of	of	ADP
cord-121428-79wyxedn	247	13	italy	italy	PROPN
cord-121428-79wyxedn	248	1	how	how	SCONJ
cord-121428-79wyxedn	248	2	,	,	PUNCT
cord-121428-79wyxedn	248	3	even	even	ADV
cord-121428-79wyxedn	248	4	if	if	SCONJ
cord-121428-79wyxedn	248	5	the	the	DET
cord-121428-79wyxedn	248	6	daily	daily	ADJ
cord-121428-79wyxedn	248	7	number	number	NOUN
cord-121428-79wyxedn	248	8	of	of	ADP
cord-121428-79wyxedn	248	9	infected	infected	ADJ
cord-121428-79wyxedn	248	10	decreases	decrease	NOUN
cord-121428-79wyxedn	248	11	after	after	ADP
cord-121428-79wyxedn	248	12	may	may	AUX
cord-121428-79wyxedn	248	13	1st	1st	NOUN
cord-121428-79wyxedn	248	14	,	,	PUNCT
cord-121428-79wyxedn	248	15	the	the	DET
cord-121428-79wyxedn	248	16	estimated	estimate	VERB
cord-121428-79wyxedn	248	17	h	h	NOUN
cord-121428-79wyxedn	248	18	remains	remain	VERB
cord-121428-79wyxedn	248	19	quite	quite	ADV
cord-121428-79wyxedn	248	20	stable	stable	ADJ
cord-121428-79wyxedn	248	21	after	after	ADP
cord-121428-79wyxedn	248	22	this	this	DET
cord-121428-79wyxedn	248	23	day	day	NOUN
cord-121428-79wyxedn	248	24	.	.	PUNCT
cord-121428-79wyxedn	249	1	this	this	DET
cord-121428-79wyxedn	249	2	behavior	behavior	NOUN
cord-121428-79wyxedn	249	3	can	can	AUX
cord-121428-79wyxedn	249	4	not	not	PART
cord-121428-79wyxedn	249	5	be	be	AUX
cord-121428-79wyxedn	249	6	reproduced	reproduce	VERB
cord-121428-79wyxedn	249	7	by	by	ADP
cord-121428-79wyxedn	249	8	using	use	VERB
cord-121428-79wyxedn	249	9	a	a	DET
cord-121428-79wyxedn	249	10	function	function	NOUN
cord-121428-79wyxedn	249	11	h(i(t	h(i(t	PROPN
cord-121428-79wyxedn	249	12	)	)	PUNCT
cord-121428-79wyxedn	249	13	)	)	PUNCT
cord-121428-79wyxedn	249	14	as	as	ADP
cord-121428-79wyxedn	249	15	the	the	DET
cord-121428-79wyxedn	249	16	one	one	NUM
cord-121428-79wyxedn	249	17	given	give	VERB
cord-121428-79wyxedn	249	18	in	in	ADP
cord-121428-79wyxedn	249	19	(	(	PUNCT
cord-121428-79wyxedn	249	20	31	31	NUM
cord-121428-79wyxedn	249	21	)	)	PUNCT
cord-121428-79wyxedn	249	22	.	.	PUNCT
cord-121428-79wyxedn	250	1	instead	instead	ADV
cord-121428-79wyxedn	250	2	,	,	PUNCT
cord-121428-79wyxedn	250	3	a	a	DET
cord-121428-79wyxedn	250	4	function	function	NOUN
cord-121428-79wyxedn	250	5	h(t	h(t	PROPN
cord-121428-79wyxedn	250	6	,	,	PUNCT
cord-121428-79wyxedn	250	7	i(t	i(t	PROPN
cord-121428-79wyxedn	250	8	)	)	PUNCT
cord-121428-79wyxedn	250	9	)	)	PUNCT
cord-121428-79wyxedn	250	10	of	of	ADP
cord-121428-79wyxedn	250	11	the	the	DET
cord-121428-79wyxedn	250	12	form	form	NOUN
cord-121428-79wyxedn	250	13	(	(	PUNCT
cord-121428-79wyxedn	250	14	35	35	NUM
cord-121428-79wyxedn	250	15	)	)	PUNCT
cord-121428-79wyxedn	250	16	,	,	PUNCT
cord-121428-79wyxedn	250	17	which	which	PRON
cord-121428-79wyxedn	250	18	takes	take	VERB
cord-121428-79wyxedn	250	19	into	into	ADP
cord-121428-79wyxedn	250	20	account	account	NOUN
cord-121428-79wyxedn	250	21	both	both	DET
cord-121428-79wyxedn	250	22	the	the	DET
cord-121428-79wyxedn	250	23	instantaneous	instantaneous	ADJ
cord-121428-79wyxedn	250	24	number	number	NOUN
cord-121428-79wyxedn	250	25	of	of	ADP
cord-121428-79wyxedn	250	26	confirmed	confirm	VERB
cord-121428-79wyxedn	250	27	infections	infection	NOUN
cord-121428-79wyxedn	250	28	n	n	PROPN
cord-121428-79wyxedn	250	29	i(t	i(t	PROPN
cord-121428-79wyxedn	250	30	)	)	PUNCT
cord-121428-79wyxedn	250	31	and	and	CCONJ
cord-121428-79wyxedn	250	32	the	the	DET
cord-121428-79wyxedn	250	33	total	total	ADJ
cord-121428-79wyxedn	250	34	number	number	NOUN
cord-121428-79wyxedn	250	35	of	of	ADP
cord-121428-79wyxedn	250	36	infected	infect	VERB
cord-121428-79wyxedn	250	37	in	in	ADP
cord-121428-79wyxedn	250	38	the	the	DET
cord-121428-79wyxedn	250	39	population	population	NOUN
cord-121428-79wyxedn	250	40	n	n	NOUN
cord-121428-79wyxedn	250	41	s	s	X
cord-121428-79wyxedn	250	42	<	<	X
cord-121428-79wyxedn	250	43	t	t	X
cord-121428-79wyxedn	250	44	i(s	i(s	NOUN
cord-121428-79wyxedn	250	45	)	)	PUNCT
cord-121428-79wyxedn	250	46	up	up	ADP
cord-121428-79wyxedn	250	47	to	to	ADP
cord-121428-79wyxedn	250	48	time	time	NOUN
cord-121428-79wyxedn	250	49	t	t	NOUN
cord-121428-79wyxedn	250	50	,	,	PUNCT
cord-121428-79wyxedn	250	51	is	be	AUX
cord-121428-79wyxedn	250	52	able	able	ADJ
cord-121428-79wyxedn	250	53	to	to	PART
cord-121428-79wyxedn	250	54	better	better	VERB
cord-121428-79wyxedn	250	55	better	well	ADV
cord-121428-79wyxedn	250	56	fit	fit	VERB
cord-121428-79wyxedn	250	57	the	the	DET
cord-121428-79wyxedn	250	58	observed	observe	VERB
cord-121428-79wyxedn	250	59	results	result	NOUN
cord-121428-79wyxedn	250	60	.	.	PUNCT
cord-121428-79wyxedn	251	1	in	in	ADP
cord-121428-79wyxedn	251	2	fact	fact	NOUN
cord-121428-79wyxedn	251	3	,	,	PUNCT
cord-121428-79wyxedn	251	4	it	it	PRON
cord-121428-79wyxedn	251	5	appears	appear	VERB
cord-121428-79wyxedn	251	6	that	that	SCONJ
cord-121428-79wyxedn	251	7	taking	take	VERB
cord-121428-79wyxedn	251	8	into	into	ADP
cord-121428-79wyxedn	251	9	account	account	NOUN
cord-121428-79wyxedn	251	10	possible	possible	ADJ
cord-121428-79wyxedn	251	11	memory	memory	NOUN
cord-121428-79wyxedn	251	12	effects	effect	NOUN
cord-121428-79wyxedn	251	13	on	on	ADP
cord-121428-79wyxedn	251	14	the	the	DET
cord-121428-79wyxedn	251	15	contact	contact	NOUN
cord-121428-79wyxedn	251	16	function	function	NOUN
cord-121428-79wyxedn	251	17	is	be	AUX
cord-121428-79wyxedn	251	18	a	a	DET
cord-121428-79wyxedn	251	19	good	good	ADJ
cord-121428-79wyxedn	251	20	path	path	NOUN
cord-121428-79wyxedn	251	21	to	to	PART
cord-121428-79wyxedn	251	22	follow	follow	VERB
cord-121428-79wyxedn	251	23	.	.	PUNCT
cord-121428-79wyxedn	252	1	in	in	ADP
cord-121428-79wyxedn	252	2	the	the	DET
cord-121428-79wyxedn	252	3	right	right	ADJ
cord-121428-79wyxedn	252	4	column	column	NOUN
cord-121428-79wyxedn	252	5	of	of	ADP
cord-121428-79wyxedn	252	6	figure	figure	NOUN
cord-121428-79wyxedn	252	7	5	5	NUM
cord-121428-79wyxedn	252	8	,	,	PUNCT
cord-121428-79wyxedn	252	9	the	the	DET
cord-121428-79wyxedn	252	10	two	two	NUM
cord-121428-79wyxedn	252	11	discussed	discuss	VERB
cord-121428-79wyxedn	252	12	contact	contact	NOUN
cord-121428-79wyxedn	252	13	functions	function	NOUN
cord-121428-79wyxedn	252	14	have	have	AUX
cord-121428-79wyxedn	252	15	been	be	AUX
cord-121428-79wyxedn	252	16	denoted	denote	VERB
cord-121428-79wyxedn	252	17	with	with	ADP
cord-121428-79wyxedn	252	18	h	h	PROPN
cord-121428-79wyxedn	252	19	1	1	NUM
cord-121428-79wyxedn	252	20	=	=	SYM
cord-121428-79wyxedn	252	21	h	h	NOUN
cord-121428-79wyxedn	252	22	1	1	NUM
cord-121428-79wyxedn	252	23	(	(	PUNCT
cord-121428-79wyxedn	252	24	n	n	NOUN
cord-121428-79wyxedn	252	25	i(t	i(t	PROPN
cord-121428-79wyxedn	252	26	)	)	PUNCT
cord-121428-79wyxedn	252	27	)	)	PUNCT
cord-121428-79wyxedn	252	28	and	and	CCONJ
cord-121428-79wyxedn	252	29	(	(	PUNCT
cord-121428-79wyxedn	252	30	39	39	NUM
cord-121428-79wyxedn	252	31	)	)	PUNCT
cord-121428-79wyxedn	252	32	.	.	PUNCT
cord-121428-79wyxedn	253	1	the	the	DET
cord-121428-79wyxedn	253	2	corresponding	correspond	VERB
cord-121428-79wyxedn	253	3	r	r	NOUN
cord-121428-79wyxedn	253	4	2	2	NUM
cord-121428-79wyxedn	253	5	coefficient	coefficient	NOUN
cord-121428-79wyxedn	253	6	is	be	AUX
cord-121428-79wyxedn	253	7	also	also	ADV
cord-121428-79wyxedn	253	8	reported	report	VERB
cord-121428-79wyxedn	253	9	.	.	PUNCT
cord-121428-79wyxedn	253	10	.	.	PUNCT
cord-121428-79wyxedn	254	1	both	both	PRON
cord-121428-79wyxedn	254	2	are	be	AUX
cord-121428-79wyxedn	254	3	assumed	assume	VERB
cord-121428-79wyxedn	254	4	of	of	ADP
cord-121428-79wyxedn	254	5	the	the	DET
cord-121428-79wyxedn	254	6	form	form	NOUN
cord-121428-79wyxedn	254	7	a	a	DET
cord-121428-79wyxedn	254	8	least	least	ADJ
cord-121428-79wyxedn	254	9	square	square	ADJ
cord-121428-79wyxedn	254	10	minimization	minimization	NOUN
cord-121428-79wyxedn	254	11	approach	approach	NOUN
cord-121428-79wyxedn	254	12	has	have	AUX
cord-121428-79wyxedn	254	13	been	be	AUX
cord-121428-79wyxedn	254	14	finally	finally	ADV
cord-121428-79wyxedn	254	15	developed	develop	VERB
cord-121428-79wyxedn	254	16	to	to	PART
cord-121428-79wyxedn	254	17	determine	determine	VERB
cord-121428-79wyxedn	254	18	a	a	DET
cord-121428-79wyxedn	254	19	>	>	X
cord-121428-79wyxedn	254	20	0	0	NUM
cord-121428-79wyxedn	254	21	,	,	PUNCT
cord-121428-79wyxedn	254	22	b	b	NOUN
cord-121428-79wyxedn	254	23	∈	∈	NOUN
cord-121428-79wyxedn	254	24	r	r	NOUN
cord-121428-79wyxedn	254	25	that	that	PRON
cord-121428-79wyxedn	254	26	best	well	ADV
cord-121428-79wyxedn	254	27	fit	fit	VERB
cord-121428-79wyxedn	254	28	the	the	DET
cord-121428-79wyxedn	254	29	estimated	estimate	VERB
cord-121428-79wyxedn	254	30	curve	curve	NOUN
cord-121428-79wyxedn	254	31	whose	whose	DET
cord-121428-79wyxedn	254	32	results	result	NOUN
cord-121428-79wyxedn	254	33	are	be	AUX
cord-121428-79wyxedn	254	34	presented	present	VERB
cord-121428-79wyxedn	254	35	in	in	ADP
cord-121428-79wyxedn	254	36	table	table	NOUN
cord-121428-79wyxedn	254	37	2	2	NUM
cord-121428-79wyxedn	254	38	.	.	PUNCT
cord-121428-79wyxedn	255	1	we	we	PRON
cord-121428-79wyxedn	255	2	can	can	AUX
cord-121428-79wyxedn	255	3	easily	easily	ADV
cord-121428-79wyxedn	255	4	observe	observe	VERB
cord-121428-79wyxedn	255	5	in	in	ADP
cord-121428-79wyxedn	255	6	the	the	DET
cord-121428-79wyxedn	255	7	right	right	ADJ
cord-121428-79wyxedn	255	8	column	column	NOUN
cord-121428-79wyxedn	255	9	of	of	ADP
cord-121428-79wyxedn	255	10	figure	figure	NOUN
cord-121428-79wyxedn	255	11	6	6	NUM
cord-121428-79wyxedn	255	12	how	how	SCONJ
cord-121428-79wyxedn	255	13	the	the	DET
cord-121428-79wyxedn	255	14	function	function	NOUN
cord-121428-79wyxedn	255	15	h	h	PROPN
cord-121428-79wyxedn	255	16	2	2	NUM
cord-121428-79wyxedn	255	17	is	be	AUX
cord-121428-79wyxedn	255	18	capable	capable	ADJ
cord-121428-79wyxedn	255	19	to	to	PART
cord-121428-79wyxedn	255	20	better	well	ADV
cord-121428-79wyxedn	255	21	explain	explain	VERB
cord-121428-79wyxedn	255	22	the	the	DET
cord-121428-79wyxedn	255	23	estimated	estimate	VERB
cord-121428-79wyxedn	255	24	values	value	NOUN
cord-121428-79wyxedn	255	25	of	of	ADP
cord-121428-79wyxedn	255	26	h	h	NOUN
cord-121428-79wyxedn	255	27	especially	especially	ADV
cord-121428-79wyxedn	255	28	after	after	ADP
cord-121428-79wyxedn	255	29	the	the	DET
cord-121428-79wyxedn	255	30	epidemic	epidemic	NOUN
cord-121428-79wyxedn	255	31	peak	peak	NOUN
cord-121428-79wyxedn	255	32	.	.	PUNCT
cord-121428-79wyxedn	256	1	to	to	PART
cord-121428-79wyxedn	256	2	evaluate	evaluate	VERB
cord-121428-79wyxedn	256	3	the	the	DET
cord-121428-79wyxedn	256	4	goodness	goodness	NOUN
cord-121428-79wyxedn	256	5	of	of	ADP
cord-121428-79wyxedn	256	6	fit	fit	NOUN
cord-121428-79wyxedn	256	7	we	we	PRON
cord-121428-79wyxedn	256	8	can	can	AUX
cord-121428-79wyxedn	256	9	finally	finally	ADV
cord-121428-79wyxedn	256	10	use	use	VERB
cord-121428-79wyxedn	256	11	the	the	DET
cord-121428-79wyxedn	256	12	so	so	ADV
cord-121428-79wyxedn	256	13	-	-	PUNCT
cord-121428-79wyxedn	256	14	called	call	VERB
cord-121428-79wyxedn	256	15	coefficient	coefficient	NOUN
cord-121428-79wyxedn	256	16	r	r	PROPN
cord-121428-79wyxedn	256	17	2	2	NUM
cord-121428-79wyxedn	256	18	,	,	PUNCT
cord-121428-79wyxedn	256	19	as	as	SCONJ
cord-121428-79wyxedn	256	20	reported	report	VERB
cord-121428-79wyxedn	256	21	in	in	ADP
cord-121428-79wyxedn	256	22	table	table	NOUN
cord-121428-79wyxedn	256	23	2	2	NUM
cord-121428-79wyxedn	256	24	.	.	PUNCT
cord-121428-79wyxedn	257	1	results	result	NOUN
cord-121428-79wyxedn	257	2	show	show	VERB
cord-121428-79wyxedn	257	3	that	that	SCONJ
cord-121428-79wyxedn	257	4	the	the	DET
cord-121428-79wyxedn	257	5	function	function	NOUN
cord-121428-79wyxedn	257	6	h	h	PROPN
cord-121428-79wyxedn	257	7	2	2	NUM
cord-121428-79wyxedn	257	8	appears	appear	VERB
cord-121428-79wyxedn	257	9	more	more	ADV
cord-121428-79wyxedn	257	10	suitable	suitable	ADJ
cord-121428-79wyxedn	257	11	in	in	ADP
cord-121428-79wyxedn	257	12	terms	term	NOUN
cord-121428-79wyxedn	257	13	of	of	ADP
cord-121428-79wyxedn	257	14	the	the	DET
cord-121428-79wyxedn	257	15	fitting	fitting	ADJ
cord-121428-79wyxedn	257	16	results	result	NOUN
cord-121428-79wyxedn	257	17	for	for	ADP
cord-121428-79wyxedn	257	18	all	all	DET
cord-121428-79wyxedn	257	19	tested	test	VERB
cord-121428-79wyxedn	257	20	situations	situation	NOUN
cord-121428-79wyxedn	257	21	.	.	PUNCT
cord-121428-79wyxedn	258	1	this	this	DET
cord-121428-79wyxedn	258	2	fact	fact	NOUN
cord-121428-79wyxedn	258	3	may	may	AUX
cord-121428-79wyxedn	258	4	indicate	indicate	VERB
cord-121428-79wyxedn	258	5	that	that	SCONJ
cord-121428-79wyxedn	258	6	people	people	NOUN
cord-121428-79wyxedn	258	7	are	be	AUX
cord-121428-79wyxedn	258	8	rather	rather	ADV
cord-121428-79wyxedn	258	9	fast	fast	ADJ
cord-121428-79wyxedn	258	10	to	to	PART
cord-121428-79wyxedn	258	11	apply	apply	VERB
cord-121428-79wyxedn	258	12	social	social	ADJ
cord-121428-79wyxedn	258	13	distancing	distancing	NOUN
cord-121428-79wyxedn	258	14	,	,	PUNCT
cord-121428-79wyxedn	258	15	and	and	CCONJ
cord-121428-79wyxedn	258	16	therefore	therefore	ADV
cord-121428-79wyxedn	258	17	to	to	PART
cord-121428-79wyxedn	258	18	reduce	reduce	VERB
cord-121428-79wyxedn	258	19	their	their	PRON
cord-121428-79wyxedn	258	20	average	average	ADJ
cord-121428-79wyxedn	258	21	number	number	NOUN
cord-121428-79wyxedn	258	22	of	of	ADP
cord-121428-79wyxedn	258	23	contacts	contact	NOUN
cord-121428-79wyxedn	258	24	,	,	PUNCT
cord-121428-79wyxedn	258	25	whereas	whereas	SCONJ
cord-121428-79wyxedn	258	26	they	they	PRON
cord-121428-79wyxedn	258	27	tend	tend	VERB
cord-121428-79wyxedn	258	28	to	to	PART
cord-121428-79wyxedn	258	29	restore	restore	VERB
cord-121428-79wyxedn	258	30	the	the	DET
cord-121428-79wyxedn	258	31	pre	pre	ADJ
cord-121428-79wyxedn	258	32	-	-	ADJ
cord-121428-79wyxedn	258	33	pandemic	pandemic	ADJ
cord-121428-79wyxedn	258	34	average	average	ADJ
cord-121428-79wyxedn	258	35	contact	contact	NOUN
cord-121428-79wyxedn	258	36	rate	rate	NOUN
cord-121428-79wyxedn	258	37	more	more	ADV
cord-121428-79wyxedn	258	38	slowly	slowly	ADV
cord-121428-79wyxedn	258	39	,	,	PUNCT
cord-121428-79wyxedn	258	40	possibly	possibly	ADV
cord-121428-79wyxedn	258	41	due	due	ADP
cord-121428-79wyxedn	258	42	to	to	ADP
cord-121428-79wyxedn	258	43	further	further	ADJ
cord-121428-79wyxedn	258	44	memory	memory	NOUN
cord-121428-79wyxedn	258	45	effects	effect	NOUN
cord-121428-79wyxedn	258	46	.	.	PUNCT
cord-121428-79wyxedn	259	1	in	in	ADP
cord-121428-79wyxedn	259	2	this	this	DET
cord-121428-79wyxedn	259	3	last	last	ADJ
cord-121428-79wyxedn	259	4	part	part	NOUN
cord-121428-79wyxedn	259	5	,	,	PUNCT
cord-121428-79wyxedn	259	6	we	we	PRON
cord-121428-79wyxedn	259	7	discuss	discuss	VERB
cord-121428-79wyxedn	259	8	the	the	DET
cord-121428-79wyxedn	259	9	results	result	NOUN
cord-121428-79wyxedn	259	10	of	of	ADP
cord-121428-79wyxedn	259	11	the	the	DET
cord-121428-79wyxedn	259	12	s	s	PROPN
cord-121428-79wyxedn	259	13	-	-	PROPN
cord-121428-79wyxedn	259	14	sir	sir	PROPN
cord-121428-79wyxedn	259	15	model	model	NOUN
cord-121428-79wyxedn	259	16	when	when	SCONJ
cord-121428-79wyxedn	259	17	the	the	DET
cord-121428-79wyxedn	259	18	contact	contact	NOUN
cord-121428-79wyxedn	259	19	function	function	NOUN
cord-121428-79wyxedn	259	20	has	have	VERB
cord-121428-79wyxedn	259	21	the	the	DET
cord-121428-79wyxedn	259	22	shape	shape	NOUN
cord-121428-79wyxedn	259	23	extrapolated	extrapolate	VERB
cord-121428-79wyxedn	259	24	in	in	ADP
cord-121428-79wyxedn	259	25	the	the	DET
cord-121428-79wyxedn	259	26	previous	previous	ADJ
cord-121428-79wyxedn	259	27	paragraph	paragraph	NOUN
cord-121428-79wyxedn	259	28	.	.	PUNCT
cord-121428-79wyxedn	260	1	in	in	ADP
cord-121428-79wyxedn	260	2	particular	particular	ADJ
cord-121428-79wyxedn	260	3	,	,	PUNCT
cord-121428-79wyxedn	260	4	we	we	PRON
cord-121428-79wyxedn	260	5	devoted	devote	VERB
cord-121428-79wyxedn	260	6	it	it	PRON
cord-121428-79wyxedn	260	7	to	to	PART
cord-121428-79wyxedn	260	8	show	show	VERB
cord-121428-79wyxedn	260	9	whether	whether	SCONJ
cord-121428-79wyxedn	260	10	the	the	DET
cord-121428-79wyxedn	260	11	obtained	obtain	VERB
cord-121428-79wyxedn	260	12	extrapolated	extrapolate	VERB
cord-121428-79wyxedn	260	13	function	function	NOUN
cord-121428-79wyxedn	260	14	h	h	PROPN
cord-121428-79wyxedn	260	15	,	,	PUNCT
cord-121428-79wyxedn	260	16	which	which	PRON
cord-121428-79wyxedn	260	17	depends	depend	VERB
cord-121428-79wyxedn	260	18	on	on	ADP
cord-121428-79wyxedn	260	19	the	the	DET
cord-121428-79wyxedn	260	20	product	product	NOUN
cord-121428-79wyxedn	260	21	between	between	ADP
cord-121428-79wyxedn	260	22	the	the	DET
cord-121428-79wyxedn	260	23	current	current	ADJ
cord-121428-79wyxedn	260	24	number	number	NOUN
cord-121428-79wyxedn	260	25	of	of	ADP
cord-121428-79wyxedn	260	26	infected	infect	VERB
cord-121428-79wyxedn	260	27	and	and	CCONJ
cord-121428-79wyxedn	260	28	the	the	DET
cord-121428-79wyxedn	260	29	total	total	ADJ
cord-121428-79wyxedn	260	30	number	number	NOUN
cord-121428-79wyxedn	260	31	of	of	ADP
cord-121428-79wyxedn	260	32	infected	infect	VERB
cord-121428-79wyxedn	260	33	,	,	PUNCT
cord-121428-79wyxedn	260	34	produces	produce	VERB
cord-121428-79wyxedn	260	35	qualitative	qualitative	ADJ
cord-121428-79wyxedn	260	36	trends	trend	NOUN
cord-121428-79wyxedn	260	37	that	that	PRON
cord-121428-79wyxedn	260	38	are	be	AUX
cord-121428-79wyxedn	260	39	in	in	ADP
cord-121428-79wyxedn	260	40	agreement	agreement	NOUN
cord-121428-79wyxedn	260	41	with	with	ADP
cord-121428-79wyxedn	260	42	the	the	DET
cord-121428-79wyxedn	260	43	data	datum	NOUN
cord-121428-79wyxedn	260	44	.	.	PUNCT
cord-121428-79wyxedn	261	1	as	as	SCONJ
cord-121428-79wyxedn	261	2	discussed	discuss	VERB
cord-121428-79wyxedn	261	3	in	in	ADP
cord-121428-79wyxedn	261	4	section	section	NOUN
cord-121428-79wyxedn	261	5	5.3	5.3	NUM
cord-121428-79wyxedn	261	6	,	,	PUNCT
cord-121428-79wyxedn	261	7	it	it	PRON
cord-121428-79wyxedn	261	8	appears	appear	VERB
cord-121428-79wyxedn	261	9	that	that	SCONJ
cord-121428-79wyxedn	261	10	the	the	DET
cord-121428-79wyxedn	261	11	curve	curve	NOUN
cord-121428-79wyxedn	261	12	of	of	ADP
cord-121428-79wyxedn	261	13	infection	infection	NOUN
cord-121428-79wyxedn	261	14	may	may	AUX
cord-121428-79wyxedn	261	15	be	be	AUX
cord-121428-79wyxedn	261	16	better	well	ADV
cord-121428-79wyxedn	261	17	explained	explain	VERB
cord-121428-79wyxedn	261	18	in	in	ADP
cord-121428-79wyxedn	261	19	the	the	DET
cord-121428-79wyxedn	261	20	case	case	NOUN
cord-121428-79wyxedn	261	21	in	in	ADP
cord-121428-79wyxedn	261	22	which	which	PRON
cord-121428-79wyxedn	261	23	the	the	DET
cord-121428-79wyxedn	261	24	contact	contact	NOUN
cord-121428-79wyxedn	261	25	function	function	NOUN
cord-121428-79wyxedn	261	26	is	be	AUX
cord-121428-79wyxedn	261	27	both	both	CCONJ
cord-121428-79wyxedn	261	28	a	a	DET
cord-121428-79wyxedn	261	29	function	function	NOUN
cord-121428-79wyxedn	261	30	of	of	ADP
cord-121428-79wyxedn	261	31	the	the	DET
cord-121428-79wyxedn	261	32	instantaneous	instantaneous	ADJ
cord-121428-79wyxedn	261	33	number	number	NOUN
cord-121428-79wyxedn	261	34	of	of	ADP
cord-121428-79wyxedn	261	35	infected	infected	ADJ
cord-121428-79wyxedn	261	36	and	and	CCONJ
cord-121428-79wyxedn	261	37	of	of	ADP
cord-121428-79wyxedn	261	38	the	the	DET
cord-121428-79wyxedn	261	39	total	total	ADJ
cord-121428-79wyxedn	261	40	number	number	NOUN
cord-121428-79wyxedn	261	41	of	of	ADP
cord-121428-79wyxedn	261	42	people	people	NOUN
cord-121428-79wyxedn	261	43	that	that	PRON
cord-121428-79wyxedn	261	44	contracted	contract	VERB
cord-121428-79wyxedn	261	45	the	the	DET
cord-121428-79wyxedn	261	46	disease	disease	NOUN
cord-121428-79wyxedn	261	47	up	up	ADP
cord-121428-79wyxedn	261	48	to	to	ADP
cord-121428-79wyxedn	261	49	time	time	NOUN
cord-121428-79wyxedn	261	50	t.	t.	NOUN
cord-121428-79wyxedn	261	51	in	in	ADP
cord-121428-79wyxedn	261	52	order	order	NOUN
cord-121428-79wyxedn	261	53	to	to	PART
cord-121428-79wyxedn	261	54	compare	compare	VERB
cord-121428-79wyxedn	261	55	qualitatively	qualitatively	ADV
cord-121428-79wyxedn	261	56	the	the	DET
cord-121428-79wyxedn	261	57	observed	observe	VERB
cord-121428-79wyxedn	261	58	curve	curve	NOUN
cord-121428-79wyxedn	261	59	of	of	ADP
cord-121428-79wyxedn	261	60	infected	infect	VERB
cord-121428-79wyxedn	261	61	and	and	CCONJ
cord-121428-79wyxedn	261	62	the	the	DET
cord-121428-79wyxedn	261	63	theoretical	theoretical	ADJ
cord-121428-79wyxedn	261	64	one	one	NOUN
cord-121428-79wyxedn	261	65	,	,	PUNCT
cord-121428-79wyxedn	261	66	we	we	PRON
cord-121428-79wyxedn	261	67	consider	consider	VERB
cord-121428-79wyxedn	261	68	the	the	DET
cord-121428-79wyxedn	261	69	following	follow	VERB
cord-121428-79wyxedn	261	70	setting	set	VERB
cord-121428-79wyxedn	261	71	for	for	ADP
cord-121428-79wyxedn	261	72	the	the	DET
cord-121428-79wyxedn	261	73	three	three	NUM
cord-121428-79wyxedn	261	74	countries	country	NOUN
cord-121428-79wyxedn	261	75	under	under	ADP
cord-121428-79wyxedn	261	76	study	study	NOUN
cord-121428-79wyxedn	261	77	:	:	PUNCT
cord-121428-79wyxedn	261	78	ν	ν	PROPN
cord-121428-79wyxedn	261	79	=	=	NOUN
cord-121428-79wyxedn	261	80	4	4	NUM
cord-121428-79wyxedn	261	81	,	,	PUNCT
cord-121428-79wyxedn	261	82	δ	δ	NOUN
cord-121428-79wyxedn	261	83	=	=	SYM
cord-121428-79wyxedn	261	84	8	8	NUM
cord-121428-79wyxedn	261	85	and	and	CCONJ
cord-121428-79wyxedn	261	86	x	x	NOUN
cord-121428-79wyxedn	261	87	j	j	PROPN
cord-121428-79wyxedn	261	88	=	=	PROPN
cord-121428-79wyxedn	261	89	15	15	NUM
cord-121428-79wyxedn	261	90	,	,	PUNCT
cord-121428-79wyxedn	261	91	∆t	∆t	NOUN
cord-121428-79wyxedn	261	92	=	=	NOUN
cord-121428-79wyxedn	261	93	0.01	0.01	NUM
cord-121428-79wyxedn	261	94	,	,	PUNCT
cord-121428-79wyxedn	261	95	τ	τ	NOUN
cord-121428-79wyxedn	261	96	=	=	NOUN
cord-121428-79wyxedn	261	97	0.01	0.01	NUM
cord-121428-79wyxedn	261	98	,	,	PUNCT
cord-121428-79wyxedn	261	99	m	m	NOUN
cord-121428-79wyxedn	261	100	=	=	SYM
cord-121428-79wyxedn	261	101	10	10	NUM
cord-121428-79wyxedn	261	102	5	5	NUM
cord-121428-79wyxedn	261	103	.	.	PUNCT
cord-121428-79wyxedn	262	1	moreover	moreover	ADV
cord-121428-79wyxedn	262	2	,	,	PUNCT
cord-121428-79wyxedn	262	3	we	we	PRON
cord-121428-79wyxedn	262	4	suppose	suppose	VERB
cord-121428-79wyxedn	262	5	s(t	s(t	PROPN
cord-121428-79wyxedn	262	6	=	=	PROPN
cord-121428-79wyxedn	262	7	0	0	NUM
cord-121428-79wyxedn	262	8	)	)	PUNCT
cord-121428-79wyxedn	262	9	and	and	CCONJ
cord-121428-79wyxedn	262	10	i(t	i(t	PROPN
cord-121428-79wyxedn	262	11	=	=	NOUN
cord-121428-79wyxedn	262	12	0	0	NUM
cord-121428-79wyxedn	262	13	)	)	PUNCT
cord-121428-79wyxedn	262	14	to	to	PART
cord-121428-79wyxedn	262	15	match	match	VERB
cord-121428-79wyxedn	262	16	the	the	DET
cord-121428-79wyxedn	262	17	relative	relative	ADJ
cord-121428-79wyxedn	262	18	number	number	NOUN
cord-121428-79wyxedn	262	19	of	of	ADP
cord-121428-79wyxedn	262	20	susceptible	susceptible	ADJ
cord-121428-79wyxedn	262	21	and	and	CCONJ
cord-121428-79wyxedn	262	22	infected	infect	VERB
cord-121428-79wyxedn	262	23	of	of	ADP
cord-121428-79wyxedn	262	24	each	each	DET
cord-121428-79wyxedn	262	25	country	country	NOUN
cord-121428-79wyxedn	262	26	at	at	ADP
cord-121428-79wyxedn	262	27	the	the	DET
cord-121428-79wyxedn	262	28	time	time	NOUN
cord-121428-79wyxedn	262	29	in	in	ADP
cord-121428-79wyxedn	262	30	which	which	PRON
cord-121428-79wyxedn	262	31	we	we	PRON
cord-121428-79wyxedn	262	32	start	start	VERB
cord-121428-79wyxedn	262	33	our	our	PRON
cord-121428-79wyxedn	262	34	comparison	comparison	NOUN
cord-121428-79wyxedn	262	35	.	.	PUNCT
cord-121428-79wyxedn	263	1	finally	finally	ADV
cord-121428-79wyxedn	263	2	,	,	PUNCT
cord-121428-79wyxedn	263	3	we	we	PRON
cord-121428-79wyxedn	263	4	consider	consider	VERB
cord-121428-79wyxedn	263	5	where	where	SCONJ
cord-121428-79wyxedn	263	6	we	we	PRON
cord-121428-79wyxedn	263	7	use	use	VERB
cord-121428-79wyxedn	263	8	the	the	DET
cord-121428-79wyxedn	263	9	parameters	parameter	NOUN
cord-121428-79wyxedn	263	10	of	of	ADP
cord-121428-79wyxedn	263	11	table	table	NOUN
cord-121428-79wyxedn	263	12	2	2	NUM
cord-121428-79wyxedn	263	13	that	that	PRON
cord-121428-79wyxedn	263	14	we	we	PRON
cord-121428-79wyxedn	263	15	recall	recall	VERB
cord-121428-79wyxedn	263	16	here	here	ADV
cord-121428-79wyxedn	263	17	for	for	ADP
cord-121428-79wyxedn	263	18	the	the	DET
cord-121428-79wyxedn	263	19	seek	seek	NOUN
cord-121428-79wyxedn	263	20	of	of	ADP
cord-121428-79wyxedn	263	21	clarity	clarity	NOUN
cord-121428-79wyxedn	263	22	:	:	PUNCT
cord-121428-79wyxedn	263	23	(	(	PUNCT
cord-121428-79wyxedn	263	24	a	a	DET
cord-121428-79wyxedn	263	25	,	,	PUNCT
cord-121428-79wyxedn	263	26	b	b	NOUN
cord-121428-79wyxedn	263	27	)	)	PUNCT
cord-121428-79wyxedn	263	28	=	=	NOUN
cord-121428-79wyxedn	263	29	(	(	PUNCT
cord-121428-79wyxedn	263	30	1.41	1.41	NUM
cord-121428-79wyxedn	263	31	,	,	PUNCT
cord-121428-79wyxedn	263	32	0.15	0.15	NUM
cord-121428-79wyxedn	263	33	)	)	PUNCT
cord-121428-79wyxedn	263	34	in	in	ADP
cord-121428-79wyxedn	263	35	the	the	DET
cord-121428-79wyxedn	263	36	case	case	NOUN
cord-121428-79wyxedn	263	37	of	of	ADP
cord-121428-79wyxedn	263	38	france	france	PROPN
cord-121428-79wyxedn	263	39	,	,	PUNCT
cord-121428-79wyxedn	263	40	and	and	CCONJ
cord-121428-79wyxedn	263	41	(	(	PUNCT
cord-121428-79wyxedn	263	42	a	a	DET
cord-121428-79wyxedn	263	43	,	,	PUNCT
cord-121428-79wyxedn	263	44	b	b	NOUN
cord-121428-79wyxedn	263	45	)	)	PUNCT
cord-121428-79wyxedn	263	46	=	=	NOUN
cord-121428-79wyxedn	263	47	(	(	PUNCT
cord-121428-79wyxedn	263	48	0.017	0.017	NUM
cord-121428-79wyxedn	263	49	,	,	PUNCT
cord-121428-79wyxedn	263	50	0.25	0.25	NUM
cord-121428-79wyxedn	263	51	)	)	PUNCT
cord-121428-79wyxedn	263	52	in	in	ADP
cord-121428-79wyxedn	263	53	the	the	DET
cord-121428-79wyxedn	263	54	case	case	NOUN
cord-121428-79wyxedn	263	55	of	of	ADP
cord-121428-79wyxedn	263	56	italy	italy	PROPN
cord-121428-79wyxedn	263	57	.	.	PUNCT
cord-121428-79wyxedn	264	1	the	the	DET
cord-121428-79wyxedn	264	2	case	case	NOUN
cord-121428-79wyxedn	264	3	of	of	ADP
cord-121428-79wyxedn	264	4	spain	spain	PROPN
cord-121428-79wyxedn	264	5	will	will	AUX
cord-121428-79wyxedn	264	6	be	be	AUX
cord-121428-79wyxedn	264	7	discussed	discuss	VERB
cord-121428-79wyxedn	264	8	later	later	ADV
cord-121428-79wyxedn	264	9	.	.	PUNCT
cord-121428-79wyxedn	265	1	in	in	ADP
cord-121428-79wyxedn	265	2	figure	figure	NOUN
cord-121428-79wyxedn	265	3	7	7	NUM
cord-121428-79wyxedn	265	4	we	we	PRON
cord-121428-79wyxedn	265	5	show	show	VERB
cord-121428-79wyxedn	265	6	the	the	DET
cord-121428-79wyxedn	265	7	profiles	profile	NOUN
cord-121428-79wyxedn	265	8	of	of	ADP
cord-121428-79wyxedn	265	9	the	the	DET
cord-121428-79wyxedn	265	10	infected	infect	VERB
cord-121428-79wyxedn	265	11	over	over	ADP
cord-121428-79wyxedn	265	12	time	time	NOUN
cord-121428-79wyxedn	265	13	together	together	ADV
cord-121428-79wyxedn	265	14	with	with	ADP
cord-121428-79wyxedn	265	15	the	the	DET
cord-121428-79wyxedn	265	16	shape	shape	NOUN
cord-121428-79wyxedn	265	17	of	of	ADP
cord-121428-79wyxedn	265	18	the	the	DET
cord-121428-79wyxedn	265	19	function	function	NOUN
cord-121428-79wyxedn	265	20	h	h	NOUN
cord-121428-79wyxedn	265	21	again	again	ADV
cord-121428-79wyxedn	265	22	over	over	ADP
cord-121428-79wyxedn	265	23	time	time	NOUN
cord-121428-79wyxedn	265	24	.	.	PUNCT
cord-121428-79wyxedn	266	1	the	the	DET
cord-121428-79wyxedn	266	2	results	result	NOUN
cord-121428-79wyxedn	266	3	show	show	VERB
cord-121428-79wyxedn	266	4	that	that	SCONJ
cord-121428-79wyxedn	266	5	with	with	ADP
cord-121428-79wyxedn	266	6	the	the	DET
cord-121428-79wyxedn	266	7	choices	choice	NOUN
cord-121428-79wyxedn	266	8	done	do	VERB
cord-121428-79wyxedn	266	9	for	for	ADP
cord-121428-79wyxedn	266	10	the	the	DET
cord-121428-79wyxedn	266	11	contact	contact	NOUN
cord-121428-79wyxedn	266	12	function	function	NOUN
cord-121428-79wyxedn	266	13	,	,	PUNCT
cord-121428-79wyxedn	266	14	it	it	PRON
cord-121428-79wyxedn	266	15	is	be	AUX
cord-121428-79wyxedn	266	16	possible	possible	ADJ
cord-121428-79wyxedn	266	17	to	to	PART
cord-121428-79wyxedn	266	18	reproduce	reproduce	VERB
cord-121428-79wyxedn	266	19	at	at	ADP
cord-121428-79wyxedn	266	20	least	least	ADJ
cord-121428-79wyxedn	266	21	qualitatively	qualitatively	ADV
cord-121428-79wyxedn	266	22	the	the	DET
cord-121428-79wyxedn	266	23	shape	shape	NOUN
cord-121428-79wyxedn	266	24	of	of	ADP
cord-121428-79wyxedn	266	25	the	the	DET
cord-121428-79wyxedn	266	26	trend	trend	NOUN
cord-121428-79wyxedn	266	27	of	of	ADP
cord-121428-79wyxedn	266	28	infected	infect	VERB
cord-121428-79wyxedn	266	29	during	during	ADP
cord-121428-79wyxedn	266	30	the	the	DET
cord-121428-79wyxedn	266	31	pandemic	pandemic	NOUN
cord-121428-79wyxedn	266	32	observed	observe	VERB
cord-121428-79wyxedn	266	33	in	in	ADP
cord-121428-79wyxedn	266	34	italy	italy	PROPN
cord-121428-79wyxedn	266	35	and	and	CCONJ
cord-121428-79wyxedn	266	36	in	in	ADP
cord-121428-79wyxedn	266	37	france	france	PROPN
cord-121428-79wyxedn	266	38	.	.	PUNCT
cord-121428-79wyxedn	267	1	it	it	PRON
cord-121428-79wyxedn	267	2	is	be	AUX
cord-121428-79wyxedn	267	3	worth	worth	ADJ
cord-121428-79wyxedn	267	4	to	to	PART
cord-121428-79wyxedn	267	5	remark	remark	VERB
cord-121428-79wyxedn	267	6	that	that	SCONJ
cord-121428-79wyxedn	267	7	the	the	DET
cord-121428-79wyxedn	267	8	considered	considered	ADJ
cord-121428-79wyxedn	267	9	social	social	ADJ
cord-121428-79wyxedn	267	10	parameters	parameter	NOUN
cord-121428-79wyxedn	267	11	have	have	AUX
cord-121428-79wyxedn	267	12	been	be	AUX
cord-121428-79wyxedn	267	13	estimated	estimate	VERB
cord-121428-79wyxedn	267	14	only	only	ADV
cord-121428-79wyxedn	267	15	the	the	PRON
cord-121428-79wyxedn	267	16	in	in	ADP
cord-121428-79wyxedn	267	17	the	the	DET
cord-121428-79wyxedn	267	18	case	case	NOUN
cord-121428-79wyxedn	267	19	of	of	ADP
cord-121428-79wyxedn	267	20	france	france	PROPN
cord-121428-79wyxedn	267	21	,	,	PUNCT
cord-121428-79wyxedn	267	22	see	see	VERB
cord-121428-79wyxedn	267	23	[	[	X
cord-121428-79wyxedn	267	24	3	3	NUM
cord-121428-79wyxedn	267	25	]	]	PUNCT
cord-121428-79wyxedn	267	26	,	,	PUNCT
cord-121428-79wyxedn	267	27	and	and	CCONJ
cord-121428-79wyxedn	267	28	we	we	PRON
cord-121428-79wyxedn	267	29	assumed	assume	VERB
cord-121428-79wyxedn	267	30	that	that	SCONJ
cord-121428-79wyxedn	267	31	the	the	DET
cord-121428-79wyxedn	267	32	initial	initial	ADJ
cord-121428-79wyxedn	267	33	contact	contact	NOUN
cord-121428-79wyxedn	267	34	distribution	distribution	NOUN
cord-121428-79wyxedn	267	35	is	be	AUX
cord-121428-79wyxedn	267	36	the	the	DET
cord-121428-79wyxedn	267	37	same	same	ADJ
cord-121428-79wyxedn	267	38	for	for	ADP
cord-121428-79wyxedn	267	39	the	the	DET
cord-121428-79wyxedn	267	40	italian	italian	ADJ
cord-121428-79wyxedn	267	41	case	case	NOUN
cord-121428-79wyxedn	267	42	.	.	PUNCT
cord-121428-79wyxedn	268	1	we	we	PRON
cord-121428-79wyxedn	268	2	now	now	ADV
cord-121428-79wyxedn	268	3	consider	consider	VERB
cord-121428-79wyxedn	268	4	the	the	DET
cord-121428-79wyxedn	268	5	case	case	NOUN
cord-121428-79wyxedn	268	6	of	of	ADP
cord-121428-79wyxedn	268	7	spain	spain	PROPN
cord-121428-79wyxedn	268	8	.	.	PUNCT
cord-121428-79wyxedn	269	1	for	for	ADP
cord-121428-79wyxedn	269	2	this	this	DET
cord-121428-79wyxedn	269	3	country	country	NOUN
cord-121428-79wyxedn	269	4	,	,	PUNCT
cord-121428-79wyxedn	269	5	according	accord	VERB
cord-121428-79wyxedn	269	6	to	to	AUX
cord-121428-79wyxedn	269	7	figure	figure	NOUN
cord-121428-79wyxedn	269	8	5	5	NUM
cord-121428-79wyxedn	269	9	,	,	PUNCT
cord-121428-79wyxedn	269	10	the	the	DET
cord-121428-79wyxedn	269	11	trend	trend	NOUN
cord-121428-79wyxedn	269	12	of	of	ADP
cord-121428-79wyxedn	269	13	infected	infected	PROPN
cord-121428-79wyxedn	269	14	undergoes	undergo	VERB
cord-121428-79wyxedn	269	15	a	a	DET
cord-121428-79wyxedn	269	16	deceleration	deceleration	NOUN
cord-121428-79wyxedn	269	17	during	during	ADP
cord-121428-79wyxedn	269	18	the	the	DET
cord-121428-79wyxedn	269	19	lockdown	lockdown	NOUN
cord-121428-79wyxedn	269	20	period	period	NOUN
cord-121428-79wyxedn	269	21	.	.	PUNCT
cord-121428-79wyxedn	270	1	this	this	PRON
cord-121428-79wyxedn	270	2	can	can	AUX
cord-121428-79wyxedn	270	3	be	be	AUX
cord-121428-79wyxedn	270	4	also	also	ADV
cord-121428-79wyxedn	270	5	clearly	clearly	ADV
cord-121428-79wyxedn	270	6	observed	observe	VERB
cord-121428-79wyxedn	270	7	in	in	ADP
cord-121428-79wyxedn	270	8	figure	figure	NOUN
cord-121428-79wyxedn	270	9	6	6	NUM
cord-121428-79wyxedn	270	10	where	where	SCONJ
cord-121428-79wyxedn	270	11	the	the	DET
cord-121428-79wyxedn	270	12	extrapolated	extrapolate	VERB
cord-121428-79wyxedn	270	13	shape	shape	NOUN
cord-121428-79wyxedn	270	14	of	of	ADP
cord-121428-79wyxedn	270	15	the	the	DET
cord-121428-79wyxedn	270	16	contact	contact	NOUN
cord-121428-79wyxedn	270	17	function	function	NOUN
cord-121428-79wyxedn	270	18	h	h	PROPN
cord-121428-79wyxedn	270	19	is	be	AUX
cord-121428-79wyxedn	270	20	shown	show	VERB
cord-121428-79wyxedn	270	21	.	.	PUNCT
cord-121428-79wyxedn	271	1	let	let	AUX
cord-121428-79wyxedn	271	2	also	also	ADV
cord-121428-79wyxedn	271	3	observe	observe	VERB
cord-121428-79wyxedn	271	4	that	that	SCONJ
cord-121428-79wyxedn	271	5	while	while	SCONJ
cord-121428-79wyxedn	271	6	the	the	DET
cord-121428-79wyxedn	271	7	global	global	ADJ
cord-121428-79wyxedn	271	8	behavior	behavior	NOUN
cord-121428-79wyxedn	271	9	of	of	ADP
cord-121428-79wyxedn	271	10	this	this	DET
cord-121428-79wyxedn	271	11	function	function	NOUN
cord-121428-79wyxedn	271	12	is	be	AUX
cord-121428-79wyxedn	271	13	captured	capture	VERB
cord-121428-79wyxedn	271	14	by	by	ADP
cord-121428-79wyxedn	271	15	the	the	DET
cord-121428-79wyxedn	271	16	fitting	fitting	ADJ
cord-121428-79wyxedn	271	17	procedure	procedure	NOUN
cord-121428-79wyxedn	271	18	,	,	PUNCT
cord-121428-79wyxedn	271	19	we	we	PRON
cord-121428-79wyxedn	271	20	however	however	ADV
cord-121428-79wyxedn	271	21	lose	lose	VERB
cord-121428-79wyxedn	271	22	the	the	DET
cord-121428-79wyxedn	271	23	minimum	minimum	NOUN
cord-121428-79wyxedn	271	24	which	which	PRON
cord-121428-79wyxedn	271	25	takes	take	VERB
cord-121428-79wyxedn	271	26	place	place	NOUN
cord-121428-79wyxedn	271	27	around	around	ADP
cord-121428-79wyxedn	271	28	end	end	NOUN
cord-121428-79wyxedn	271	29	of	of	ADP
cord-121428-79wyxedn	271	30	april	april	PROPN
cord-121428-79wyxedn	271	31	.	.	PUNCT
cord-121428-79wyxedn	272	1	this	this	DET
cord-121428-79wyxedn	272	2	minimum	minimum	NOUN
cord-121428-79wyxedn	272	3	is	be	AUX
cord-121428-79wyxedn	272	4	responsible	responsible	ADJ
cord-121428-79wyxedn	272	5	of	of	ADP
cord-121428-79wyxedn	272	6	the	the	DET
cord-121428-79wyxedn	272	7	deceleration	deceleration	NOUN
cord-121428-79wyxedn	272	8	in	in	ADP
cord-121428-79wyxedn	272	9	the	the	DET
cord-121428-79wyxedn	272	10	number	number	NOUN
cord-121428-79wyxedn	272	11	of	of	ADP
cord-121428-79wyxedn	272	12	infected	infected	ADJ
cord-121428-79wyxedn	272	13	and	and	CCONJ
cord-121428-79wyxedn	272	14	can	can	AUX
cord-121428-79wyxedn	272	15	be	be	AUX
cord-121428-79wyxedn	272	16	brought	bring	VERB
cord-121428-79wyxedn	272	17	back	back	ADV
cord-121428-79wyxedn	272	18	to	to	ADP
cord-121428-79wyxedn	272	19	a	a	DET
cord-121428-79wyxedn	272	20	strong	strong	ADJ
cord-121428-79wyxedn	272	21	external	external	ADJ
cord-121428-79wyxedn	272	22	intervention	intervention	NOUN
cord-121428-79wyxedn	272	23	in	in	ADP
cord-121428-79wyxedn	272	24	the	the	DET
cord-121428-79wyxedn	272	25	lifestyle	lifestyle	NOUN
cord-121428-79wyxedn	272	26	of	of	ADP
cord-121428-79wyxedn	272	27	spain	spain	PROPN
cord-121428-79wyxedn	272	28	country	country	NOUN
cord-121428-79wyxedn	272	29	with	with	ADP
cord-121428-79wyxedn	272	30	the	the	DET
cord-121428-79wyxedn	272	31	scope	scope	NOUN
cord-121428-79wyxedn	272	32	of	of	ADP
cord-121428-79wyxedn	272	33	reducing	reduce	VERB
cord-121428-79wyxedn	272	34	the	the	DET
cord-121428-79wyxedn	272	35	hospitalizations	hospitalization	NOUN
cord-121428-79wyxedn	272	36	.	.	PUNCT
cord-121428-79wyxedn	273	1	this	this	DET
cord-121428-79wyxedn	273	2	effect	effect	NOUN
cord-121428-79wyxedn	273	3	can	can	AUX
cord-121428-79wyxedn	273	4	be	be	AUX
cord-121428-79wyxedn	273	5	reproduced	reproduce	VERB
cord-121428-79wyxedn	273	6	by	by	ADP
cord-121428-79wyxedn	273	7	our	our	PRON
cord-121428-79wyxedn	273	8	model	model	NOUN
cord-121428-79wyxedn	273	9	by	by	ADP
cord-121428-79wyxedn	273	10	imposing	impose	VERB
cord-121428-79wyxedn	273	11	the	the	DET
cord-121428-79wyxedn	273	12	same	same	ADJ
cord-121428-79wyxedn	273	13	behavior	behavior	NOUN
cord-121428-79wyxedn	273	14	in	in	ADP
cord-121428-79wyxedn	273	15	the	the	DET
cord-121428-79wyxedn	273	16	function	function	NOUN
cord-121428-79wyxedn	273	17	h.	h.	NOUN
cord-121428-79wyxedn	273	18	to	to	ADP
cord-121428-79wyxedn	273	19	that	that	DET
cord-121428-79wyxedn	273	20	aim	aim	NOUN
cord-121428-79wyxedn	273	21	,	,	PUNCT
cord-121428-79wyxedn	273	22	the	the	DET
cord-121428-79wyxedn	273	23	figure	figure	NOUN
cord-121428-79wyxedn	273	24	8	8	NUM
cord-121428-79wyxedn	273	25	reports	report	NOUN
cord-121428-79wyxedn	273	26	finally	finally	ADV
cord-121428-79wyxedn	273	27	the	the	DET
cord-121428-79wyxedn	273	28	profile	profile	NOUN
cord-121428-79wyxedn	273	29	of	of	ADP
cord-121428-79wyxedn	273	30	the	the	DET
cord-121428-79wyxedn	273	31	infected	infect	VERB
cord-121428-79wyxedn	273	32	over	over	ADP
cord-121428-79wyxedn	273	33	time	time	NOUN
cord-121428-79wyxedn	273	34	together	together	ADV
cord-121428-79wyxedn	273	35	with	with	ADP
cord-121428-79wyxedn	273	36	the	the	DET
cord-121428-79wyxedn	273	37	shape	shape	NOUN
cord-121428-79wyxedn	273	38	of	of	ADP
cord-121428-79wyxedn	273	39	the	the	DET
cord-121428-79wyxedn	273	40	function	function	NOUN
cord-121428-79wyxedn	273	41	h	h	NOUN
cord-121428-79wyxedn	273	42	again	again	ADV
cord-121428-79wyxedn	273	43	over	over	ADP
cord-121428-79wyxedn	273	44	time	time	NOUN
cord-121428-79wyxedn	273	45	for	for	ADP
cord-121428-79wyxedn	273	46	this	this	DET
cord-121428-79wyxedn	273	47	last	last	ADJ
cord-121428-79wyxedn	273	48	case	case	NOUN
cord-121428-79wyxedn	273	49	.	.	PUNCT
cord-121428-79wyxedn	274	1	the	the	DET
cord-121428-79wyxedn	274	2	results	result	NOUN
cord-121428-79wyxedn	274	3	show	show	VERB
cord-121428-79wyxedn	274	4	that	that	SCONJ
cord-121428-79wyxedn	274	5	also	also	ADV
cord-121428-79wyxedn	274	6	in	in	ADP
cord-121428-79wyxedn	274	7	this	this	DET
cord-121428-79wyxedn	274	8	case	case	NOUN
cord-121428-79wyxedn	274	9	,	,	PUNCT
cord-121428-79wyxedn	274	10	the	the	DET
cord-121428-79wyxedn	274	11	s	s	PROPN
cord-121428-79wyxedn	274	12	-	-	PROPN
cord-121428-79wyxedn	274	13	sir	sir	PROPN
cord-121428-79wyxedn	274	14	model	model	NOUN
cord-121428-79wyxedn	274	15	is	be	AUX
cord-121428-79wyxedn	274	16	capable	capable	ADJ
cord-121428-79wyxedn	274	17	to	to	PART
cord-121428-79wyxedn	274	18	qualitatively	qualitatively	ADV
cord-121428-79wyxedn	274	19	reproduce	reproduce	VERB
cord-121428-79wyxedn	274	20	the	the	DET
cord-121428-79wyxedn	274	21	data	datum	NOUN
cord-121428-79wyxedn	274	22	.	.	PUNCT
cord-121428-79wyxedn	275	1	the	the	DET
cord-121428-79wyxedn	275	2	development	development	NOUN
cord-121428-79wyxedn	275	3	of	of	ADP
cord-121428-79wyxedn	275	4	strategies	strategy	NOUN
cord-121428-79wyxedn	275	5	for	for	ADP
cord-121428-79wyxedn	275	6	mitigating	mitigate	VERB
cord-121428-79wyxedn	275	7	the	the	DET
cord-121428-79wyxedn	275	8	spreading	spreading	NOUN
cord-121428-79wyxedn	275	9	of	of	ADP
cord-121428-79wyxedn	275	10	a	a	DET
cord-121428-79wyxedn	275	11	pandemic	pandemic	NOUN
cord-121428-79wyxedn	275	12	is	be	AUX
cord-121428-79wyxedn	275	13	an	an	DET
cord-121428-79wyxedn	275	14	important	important	ADJ
cord-121428-79wyxedn	275	15	public	public	ADJ
cord-121428-79wyxedn	275	16	health	health	NOUN
cord-121428-79wyxedn	275	17	priority	priority	NOUN
cord-121428-79wyxedn	275	18	.	.	PUNCT
cord-121428-79wyxedn	276	1	the	the	DET
cord-121428-79wyxedn	276	2	recent	recent	ADJ
cord-121428-79wyxedn	276	3	case	case	NOUN
cord-121428-79wyxedn	276	4	of	of	ADP
cord-121428-79wyxedn	276	5	covid-19	covid-19	PROPN
cord-121428-79wyxedn	276	6	pandemic	pandemic	NOUN
cord-121428-79wyxedn	276	7	has	have	AUX
cord-121428-79wyxedn	276	8	seen	see	VERB
cord-121428-79wyxedn	276	9	as	as	ADP
cord-121428-79wyxedn	276	10	main	main	ADJ
cord-121428-79wyxedn	276	11	strategy	strategy	NOUN
cord-121428-79wyxedn	276	12	restrictive	restrictive	ADJ
cord-121428-79wyxedn	276	13	measures	measure	NOUN
cord-121428-79wyxedn	276	14	on	on	ADP
cord-121428-79wyxedn	276	15	the	the	DET
cord-121428-79wyxedn	276	16	social	social	ADJ
cord-121428-79wyxedn	276	17	contacts	contact	NOUN
cord-121428-79wyxedn	276	18	of	of	ADP
cord-121428-79wyxedn	276	19	the	the	DET
cord-121428-79wyxedn	276	20	population	population	NOUN
cord-121428-79wyxedn	276	21	,	,	PUNCT
cord-121428-79wyxedn	276	22	obtained	obtain	VERB
cord-121428-79wyxedn	276	23	by	by	ADP
cord-121428-79wyxedn	276	24	household	household	NOUN
cord-121428-79wyxedn	276	25	quarantine	quarantine	NOUN
cord-121428-79wyxedn	276	26	,	,	PUNCT
cord-121428-79wyxedn	276	27	school	school	NOUN
cord-121428-79wyxedn	276	28	or	or	CCONJ
cord-121428-79wyxedn	276	29	workplace	workplace	NOUN
cord-121428-79wyxedn	276	30	closure	closure	NOUN
cord-121428-79wyxedn	276	31	,	,	PUNCT
cord-121428-79wyxedn	276	32	restrictions	restriction	NOUN
cord-121428-79wyxedn	276	33	on	on	ADP
cord-121428-79wyxedn	276	34	travels	travel	NOUN
cord-121428-79wyxedn	276	35	,	,	PUNCT
cord-121428-79wyxedn	276	36	and	and	CCONJ
cord-121428-79wyxedn	276	37	,	,	PUNCT
cord-121428-79wyxedn	276	38	ultimately	ultimately	ADV
cord-121428-79wyxedn	276	39	,	,	PUNCT
cord-121428-79wyxedn	276	40	a	a	DET
cord-121428-79wyxedn	276	41	total	total	ADJ
cord-121428-79wyxedn	276	42	lockdown	lockdown	NOUN
cord-121428-79wyxedn	276	43	.	.	PUNCT
cord-121428-79wyxedn	277	1	mathematical	mathematical	ADJ
cord-121428-79wyxedn	277	2	models	model	NOUN
cord-121428-79wyxedn	277	3	represent	represent	VERB
cord-121428-79wyxedn	277	4	powerful	powerful	ADJ
cord-121428-79wyxedn	277	5	tools	tool	NOUN
cord-121428-79wyxedn	277	6	for	for	ADP
cord-121428-79wyxedn	277	7	a	a	DET
cord-121428-79wyxedn	277	8	better	well	ADJ
cord-121428-79wyxedn	277	9	understanding	understanding	NOUN
cord-121428-79wyxedn	277	10	of	of	ADP
cord-121428-79wyxedn	277	11	this	this	DET
cord-121428-79wyxedn	277	12	complex	complex	ADJ
cord-121428-79wyxedn	277	13	landscape	landscape	NOUN
cord-121428-79wyxedn	277	14	of	of	ADP
cord-121428-79wyxedn	277	15	intervention	intervention	NOUN
cord-121428-79wyxedn	277	16	strategies	strategy	NOUN
cord-121428-79wyxedn	277	17	and	and	CCONJ
cord-121428-79wyxedn	277	18	for	for	ADP
cord-121428-79wyxedn	277	19	a	a	DET
cord-121428-79wyxedn	277	20	precise	precise	ADJ
cord-121428-79wyxedn	277	21	quantification	quantification	NOUN
cord-121428-79wyxedn	277	22	of	of	ADP
cord-121428-79wyxedn	277	23	the	the	DET
cord-121428-79wyxedn	277	24	relationships	relationship	NOUN
cord-121428-79wyxedn	277	25	among	among	ADP
cord-121428-79wyxedn	277	26	potential	potential	ADJ
cord-121428-79wyxedn	277	27	costs	cost	NOUN
cord-121428-79wyxedn	277	28	and	and	CCONJ
cord-121428-79wyxedn	277	29	benefits	benefit	NOUN
cord-121428-79wyxedn	277	30	of	of	ADP
cord-121428-79wyxedn	277	31	different	different	ADJ
cord-121428-79wyxedn	277	32	options	option	NOUN
cord-121428-79wyxedn	277	33	[	[	X
cord-121428-79wyxedn	277	34	17	17	NUM
cord-121428-79wyxedn	277	35	]	]	PUNCT
cord-121428-79wyxedn	277	36	.	.	PUNCT
cord-121428-79wyxedn	278	1	in	in	ADP
cord-121428-79wyxedn	278	2	this	this	DET
cord-121428-79wyxedn	278	3	direction	direction	NOUN
cord-121428-79wyxedn	278	4	,	,	PUNCT
cord-121428-79wyxedn	278	5	we	we	PRON
cord-121428-79wyxedn	278	6	introduced	introduce	VERB
cord-121428-79wyxedn	278	7	a	a	DET
cord-121428-79wyxedn	278	8	system	system	NOUN
cord-121428-79wyxedn	278	9	of	of	ADP
cord-121428-79wyxedn	278	10	kinetic	kinetic	ADJ
cord-121428-79wyxedn	278	11	equations	equation	NOUN
cord-121428-79wyxedn	278	12	coupling	couple	VERB
cord-121428-79wyxedn	278	13	the	the	DET
cord-121428-79wyxedn	278	14	distribution	distribution	NOUN
cord-121428-79wyxedn	278	15	of	of	ADP
cord-121428-79wyxedn	278	16	social	social	ADJ
cord-121428-79wyxedn	278	17	contacts	contact	NOUN
cord-121428-79wyxedn	278	18	with	with	ADP
cord-121428-79wyxedn	278	19	the	the	DET
cord-121428-79wyxedn	278	20	spreading	spreading	NOUN
cord-121428-79wyxedn	278	21	of	of	ADP
cord-121428-79wyxedn	278	22	a	a	DET
cord-121428-79wyxedn	278	23	pandemic	pandemic	NOUN
cord-121428-79wyxedn	278	24	driven	drive	VERB
cord-121428-79wyxedn	278	25	by	by	ADP
cord-121428-79wyxedn	278	26	the	the	DET
cord-121428-79wyxedn	278	27	rules	rule	NOUN
cord-121428-79wyxedn	278	28	of	of	ADP
cord-121428-79wyxedn	278	29	the	the	DET
cord-121428-79wyxedn	278	30	sir	sir	PROPN
cord-121428-79wyxedn	278	31	model	model	NOUN
cord-121428-79wyxedn	278	32	,	,	PUNCT
cord-121428-79wyxedn	278	33	aiming	aim	VERB
cord-121428-79wyxedn	278	34	to	to	PART
cord-121428-79wyxedn	278	35	explicitly	explicitly	ADV
cord-121428-79wyxedn	278	36	quantify	quantify	VERB
cord-121428-79wyxedn	278	37	the	the	DET
cord-121428-79wyxedn	278	38	mitigation	mitigation	NOUN
cord-121428-79wyxedn	278	39	of	of	ADP
cord-121428-79wyxedn	278	40	the	the	DET
cord-121428-79wyxedn	278	41	pandemic	pandemic	NOUN
cord-121428-79wyxedn	278	42	in	in	ADP
cord-121428-79wyxedn	278	43	terms	term	NOUN
cord-121428-79wyxedn	278	44	of	of	ADP
cord-121428-79wyxedn	278	45	the	the	DET
cord-121428-79wyxedn	278	46	reduction	reduction	NOUN
cord-121428-79wyxedn	278	47	of	of	ADP
cord-121428-79wyxedn	278	48	the	the	DET
cord-121428-79wyxedn	278	49	number	number	NOUN
cord-121428-79wyxedn	278	50	of	of	ADP
cord-121428-79wyxedn	278	51	social	social	ADJ
cord-121428-79wyxedn	278	52	contacts	contact	NOUN
cord-121428-79wyxedn	278	53	of	of	ADP
cord-121428-79wyxedn	278	54	individuals	individual	NOUN
cord-121428-79wyxedn	278	55	.	.	PUNCT
cord-121428-79wyxedn	279	1	the	the	DET
cord-121428-79wyxedn	279	2	kinetic	kinetic	NOUN
cord-121428-79wyxedn	279	3	modeling	modeling	NOUN
cord-121428-79wyxedn	279	4	of	of	ADP
cord-121428-79wyxedn	279	5	the	the	DET
cord-121428-79wyxedn	279	6	statistical	statistical	ADJ
cord-121428-79wyxedn	279	7	distribution	distribution	NOUN
cord-121428-79wyxedn	279	8	of	of	ADP
cord-121428-79wyxedn	279	9	social	social	ADJ
cord-121428-79wyxedn	279	10	contacts	contact	NOUN
cord-121428-79wyxedn	279	11	has	have	AUX
cord-121428-79wyxedn	279	12	been	be	AUX
cord-121428-79wyxedn	279	13	developed	develop	VERB
cord-121428-79wyxedn	279	14	according	accord	VERB
cord-121428-79wyxedn	279	15	to	to	ADP
cord-121428-79wyxedn	279	16	the	the	DET
cord-121428-79wyxedn	279	17	recent	recent	ADJ
cord-121428-79wyxedn	279	18	results	result	NOUN
cord-121428-79wyxedn	279	19	in	in	ADP
cord-121428-79wyxedn	279	20	[	[	X
cord-121428-79wyxedn	279	21	3	3	NUM
cord-121428-79wyxedn	279	22	]	]	PUNCT
cord-121428-79wyxedn	279	23	,	,	PUNCT
cord-121428-79wyxedn	279	24	which	which	PRON
cord-121428-79wyxedn	279	25	present	present	VERB
cord-121428-79wyxedn	279	26	an	an	DET
cord-121428-79wyxedn	279	27	exhaustive	exhaustive	ADJ
cord-121428-79wyxedn	279	28	description	description	NOUN
cord-121428-79wyxedn	279	29	of	of	ADP
cord-121428-79wyxedn	279	30	contacts	contact	NOUN
cord-121428-79wyxedn	279	31	in	in	ADP
cord-121428-79wyxedn	279	32	the	the	DET
cord-121428-79wyxedn	279	33	france	france	PROPN
cord-121428-79wyxedn	279	34	population	population	NOUN
cord-121428-79wyxedn	279	35	,	,	PUNCT
cord-121428-79wyxedn	279	36	divided	divide	VERB
cord-121428-79wyxedn	279	37	by	by	ADP
cord-121428-79wyxedn	279	38	categories	category	NOUN
cord-121428-79wyxedn	279	39	.	.	PUNCT
cord-121428-79wyxedn	280	1	the	the	DET
cord-121428-79wyxedn	280	2	numerical	numerical	ADJ
cord-121428-79wyxedn	280	3	experiments	experiment	NOUN
cord-121428-79wyxedn	280	4	then	then	ADV
cord-121428-79wyxedn	280	5	show	show	VERB
cord-121428-79wyxedn	280	6	that	that	SCONJ
cord-121428-79wyxedn	280	7	the	the	DET
cord-121428-79wyxedn	280	8	kinetic	kinetic	NOUN
cord-121428-79wyxedn	280	9	system	system	NOUN
cord-121428-79wyxedn	280	10	is	be	AUX
cord-121428-79wyxedn	280	11	able	able	ADJ
cord-121428-79wyxedn	280	12	to	to	PART
cord-121428-79wyxedn	280	13	capture	capture	VERB
cord-121428-79wyxedn	280	14	most	most	ADJ
cord-121428-79wyxedn	280	15	of	of	ADP
cord-121428-79wyxedn	280	16	the	the	DET
cord-121428-79wyxedn	280	17	phenomena	phenomena	NOUN
cord-121428-79wyxedn	280	18	related	relate	VERB
cord-121428-79wyxedn	280	19	to	to	ADP
cord-121428-79wyxedn	280	20	the	the	DET
cord-121428-79wyxedn	280	21	effects	effect	NOUN
cord-121428-79wyxedn	280	22	of	of	ADP
cord-121428-79wyxedn	280	23	partial	partial	ADJ
cord-121428-79wyxedn	280	24	lockdown	lockdown	NOUN
cord-121428-79wyxedn	280	25	strategies	strategy	NOUN
cord-121428-79wyxedn	280	26	,	,	PUNCT
cord-121428-79wyxedn	280	27	and	and	CCONJ
cord-121428-79wyxedn	280	28	,	,	PUNCT
cord-121428-79wyxedn	280	29	eventually	eventually	ADV
cord-121428-79wyxedn	280	30	to	to	PART
cord-121428-79wyxedn	280	31	maintain	maintain	VERB
cord-121428-79wyxedn	280	32	pandemic	pandemic	ADJ
cord-121428-79wyxedn	280	33	under	under	ADP
cord-121428-79wyxedn	280	34	control	control	NOUN
cord-121428-79wyxedn	280	35	.	.	PUNCT
cord-121428-79wyxedn	281	1	control	control	NOUN
cord-121428-79wyxedn	281	2	with	with	ADP
cord-121428-79wyxedn	281	3	uncertain	uncertain	ADJ
cord-121428-79wyxedn	281	4	data	datum	NOUN
cord-121428-79wyxedn	281	5	of	of	ADP
cord-121428-79wyxedn	281	6	socially	socially	ADV
cord-121428-79wyxedn	281	7	structured	structured	ADJ
cord-121428-79wyxedn	281	8	compartmental	compartmental	NOUN
cord-121428-79wyxedn	281	9	models	model	NOUN
cord-121428-79wyxedn	281	10	the	the	DET
cord-121428-79wyxedn	281	11	log	log	NOUN
cord-121428-79wyxedn	281	12	-	-	PUNCT
cord-121428-79wyxedn	281	13	normal	normal	ADJ
cord-121428-79wyxedn	281	14	distribution	distribution	NOUN
cord-121428-79wyxedn	281	15	the	the	DET
cord-121428-79wyxedn	281	16	french	french	ADJ
cord-121428-79wyxedn	281	17	connection	connection	NOUN
cord-121428-79wyxedn	281	18	:	:	PUNCT
cord-121428-79wyxedn	281	19	the	the	DET
cord-121428-79wyxedn	281	20	first	first	ADJ
cord-121428-79wyxedn	281	21	large	large	ADJ
cord-121428-79wyxedn	281	22	population	population	NOUN
cord-121428-79wyxedn	281	23	-	-	PUNCT
cord-121428-79wyxedn	281	24	based	base	VERB
cord-121428-79wyxedn	281	25	contact	contact	NOUN
cord-121428-79wyxedn	281	26	survey	survey	NOUN
cord-121428-79wyxedn	281	27	in	in	ADP
cord-121428-79wyxedn	281	28	france	france	PROPN
cord-121428-79wyxedn	281	29	relevant	relevant	ADJ
cord-121428-79wyxedn	281	30	for	for	ADP
cord-121428-79wyxedn	281	31	the	the	DET
cord-121428-79wyxedn	281	32	spread	spread	NOUN
cord-121428-79wyxedn	281	33	of	of	ADP
cord-121428-79wyxedn	281	34	infectious	infectious	ADJ
cord-121428-79wyxedn	281	35	diseases	disease	NOUN
cord-121428-79wyxedn	281	36	the	the	DET
cord-121428-79wyxedn	281	37	theory	theory	NOUN
cord-121428-79wyxedn	281	38	of	of	ADP
cord-121428-79wyxedn	281	39	the	the	DET
cord-121428-79wyxedn	281	40	nonlinear	nonlinear	ADJ
cord-121428-79wyxedn	281	41	,	,	PUNCT
cord-121428-79wyxedn	281	42	spatially	spatially	ADV
cord-121428-79wyxedn	281	43	uniform	uniform	PROPN
cord-121428-79wyxedn	281	44	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	281	45	equation	equation	PROPN
cord-121428-79wyxedn	281	46	for	for	ADP
cord-121428-79wyxedn	281	47	maxwellian	maxwellian	ADJ
cord-121428-79wyxedn	281	48	molecules	molecule	NOUN
cord-121428-79wyxedn	281	49	economic	economic	ADJ
cord-121428-79wyxedn	281	50	and	and	CCONJ
cord-121428-79wyxedn	281	51	social	social	ADJ
cord-121428-79wyxedn	281	52	consequences	consequence	NOUN
cord-121428-79wyxedn	281	53	of	of	ADP
cord-121428-79wyxedn	281	54	human	human	ADJ
cord-121428-79wyxedn	281	55	mobility	mobility	NOUN
cord-121428-79wyxedn	281	56	restrictions	restriction	NOUN
cord-121428-79wyxedn	281	57	under	under	ADP
cord-121428-79wyxedn	281	58	covid-19	covid-19	PROPN
cord-121428-79wyxedn	281	59	mathematical	mathematical	ADJ
cord-121428-79wyxedn	281	60	models	model	NOUN
cord-121428-79wyxedn	281	61	in	in	ADP
cord-121428-79wyxedn	281	62	epidemiology	epidemiology	NOUN
cord-121428-79wyxedn	281	63	.	.	PUNCT
cord-121428-79wyxedn	282	1	with	with	ADP
cord-121428-79wyxedn	282	2	a	a	DET
cord-121428-79wyxedn	282	3	foreword	foreword	NOUN
cord-121428-79wyxedn	282	4	by	by	ADP
cord-121428-79wyxedn	282	5	simon	simon	PROPN
cord-121428-79wyxedn	282	6	levin	levin	PROPN
cord-121428-79wyxedn	282	7	parameter	parameter	PROPN
cord-121428-79wyxedn	282	8	estimation	estimation	PROPN
cord-121428-79wyxedn	282	9	and	and	CCONJ
cord-121428-79wyxedn	282	10	uncertainty	uncertainty	NOUN
cord-121428-79wyxedn	282	11	quantification	quantification	NOUN
cord-121428-79wyxedn	282	12	for	for	ADP
cord-121428-79wyxedn	282	13	an	an	DET
cord-121428-79wyxedn	282	14	epidemic	epidemic	NOUN
cord-121428-79wyxedn	282	15	model	model	NOUN
cord-121428-79wyxedn	282	16	the	the	DET
cord-121428-79wyxedn	282	17	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	282	18	equation	equation	PROPN
cord-121428-79wyxedn	282	19	and	and	CCONJ
cord-121428-79wyxedn	282	20	its	its	PRON
cord-121428-79wyxedn	282	21	applications	application	NOUN
cord-121428-79wyxedn	282	22	fitting	fit	VERB
cord-121428-79wyxedn	282	23	dynamic	dynamic	ADJ
cord-121428-79wyxedn	282	24	models	model	NOUN
cord-121428-79wyxedn	282	25	to	to	ADP
cord-121428-79wyxedn	282	26	epidemic	epidemic	NOUN
cord-121428-79wyxedn	282	27	outbreaks	outbreak	NOUN
cord-121428-79wyxedn	282	28	with	with	ADP
cord-121428-79wyxedn	282	29	quantified	quantify	VERB
cord-121428-79wyxedn	282	30	uncertainty	uncertainty	NOUN
cord-121428-79wyxedn	282	31	:	:	PUNCT
cord-121428-79wyxedn	282	32	a	a	DET
cord-121428-79wyxedn	282	33	primer	primer	NOUN
cord-121428-79wyxedn	282	34	for	for	ADP
cord-121428-79wyxedn	282	35	parameter	parameter	NOUN
cord-121428-79wyxedn	282	36	uncertainty	uncertainty	NOUN
cord-121428-79wyxedn	282	37	,	,	PUNCT
cord-121428-79wyxedn	282	38	identifiability	identifiability	NOUN
cord-121428-79wyxedn	282	39	,	,	PUNCT
cord-121428-79wyxedn	282	40	and	and	CCONJ
cord-121428-79wyxedn	282	41	forecast	forecast	NOUN
cord-121428-79wyxedn	282	42	x	x	X
cord-121428-79wyxedn	282	43	:	:	PUNCT
cord-121428-79wyxedn	282	44	interaction	interaction	NOUN
cord-121428-79wyxedn	282	45	of	of	ADP
cord-121428-79wyxedn	282	46	maturation	maturation	NOUN
cord-121428-79wyxedn	282	47	delay	delay	NOUN
cord-121428-79wyxedn	282	48	and	and	CCONJ
cord-121428-79wyxedn	282	49	nonlinear	nonlinear	ADJ
cord-121428-79wyxedn	282	50	birth	birth	NOUN
cord-121428-79wyxedn	282	51	in	in	ADP
cord-121428-79wyxedn	282	52	population	population	NOUN
cord-121428-79wyxedn	282	53	and	and	CCONJ
cord-121428-79wyxedn	282	54	epidemic	epidemic	NOUN
cord-121428-79wyxedn	282	55	models	model	NOUN
cord-121428-79wyxedn	282	56	on	on	ADP
cord-121428-79wyxedn	282	57	a	a	DET
cord-121428-79wyxedn	282	58	kinetic	kinetic	ADJ
cord-121428-79wyxedn	282	59	model	model	NOUN
cord-121428-79wyxedn	282	60	for	for	ADP
cord-121428-79wyxedn	282	61	a	a	DET
cord-121428-79wyxedn	282	62	simple	simple	ADJ
cord-121428-79wyxedn	282	63	market	market	NOUN
cord-121428-79wyxedn	282	64	economy	economy	NOUN
cord-121428-79wyxedn	282	65	on	on	ADP
cord-121428-79wyxedn	282	66	the	the	DET
cord-121428-79wyxedn	282	67	definition	definition	NOUN
cord-121428-79wyxedn	282	68	and	and	CCONJ
cord-121428-79wyxedn	282	69	the	the	DET
cord-121428-79wyxedn	282	70	computation	computation	NOUN
cord-121428-79wyxedn	282	71	of	of	ADP
cord-121428-79wyxedn	282	72	the	the	DET
cord-121428-79wyxedn	282	73	basic	basic	ADJ
cord-121428-79wyxedn	282	74	reproduction	reproduction	NOUN
cord-121428-79wyxedn	282	75	ratio	ratio	NOUN
cord-121428-79wyxedn	282	76	r	r	NOUN
cord-121428-79wyxedn	282	77	0	0	NUM
cord-121428-79wyxedn	282	78	in	in	ADP
cord-121428-79wyxedn	282	79	models	model	NOUN
cord-121428-79wyxedn	282	80	for	for	ADP
cord-121428-79wyxedn	282	81	infectious	infectious	ADJ
cord-121428-79wyxedn	282	82	diseases	disease	NOUN
cord-121428-79wyxedn	282	83	in	in	ADP
cord-121428-79wyxedn	282	84	heterogeneous	heterogeneous	ADJ
cord-121428-79wyxedn	282	85	populations	population	NOUN
cord-121428-79wyxedn	282	86	mathematical	mathematical	ADJ
cord-121428-79wyxedn	282	87	epidemiology	epidemiology	NOUN
cord-121428-79wyxedn	282	88	of	of	ADP
cord-121428-79wyxedn	282	89	infectious	infectious	ADJ
cord-121428-79wyxedn	282	90	diseases	disease	NOUN
cord-121428-79wyxedn	282	91	:	:	PUNCT
cord-121428-79wyxedn	282	92	model	model	NOUN
cord-121428-79wyxedn	282	93	building	building	NOUN
cord-121428-79wyxedn	282	94	,	,	PUNCT
cord-121428-79wyxedn	282	95	analysis	analysis	NOUN
cord-121428-79wyxedn	282	96	and	and	CCONJ
cord-121428-79wyxedn	282	97	interpretation	interpretation	NOUN
cord-121428-79wyxedn	282	98	kinetic	kinetic	NOUN
cord-121428-79wyxedn	282	99	modeling	modeling	NOUN
cord-121428-79wyxedn	282	100	of	of	ADP
cord-121428-79wyxedn	282	101	alcohol	alcohol	NOUN
cord-121428-79wyxedn	282	102	consumption	consumption	NOUN
cord-121428-79wyxedn	282	103	wealth	wealth	NOUN
cord-121428-79wyxedn	282	104	distribution	distribution	NOUN
cord-121428-79wyxedn	282	105	under	under	ADP
cord-121428-79wyxedn	282	106	the	the	DET
cord-121428-79wyxedn	282	107	spread	spread	NOUN
cord-121428-79wyxedn	282	108	of	of	ADP
cord-121428-79wyxedn	282	109	infectious	infectious	ADJ
cord-121428-79wyxedn	282	110	diseases	disease	NOUN
cord-121428-79wyxedn	282	111	an	an	DET
cord-121428-79wyxedn	282	112	interactive	interactive	ADJ
cord-121428-79wyxedn	282	113	web	web	NOUN
cord-121428-79wyxedn	282	114	-	-	PUNCT
cord-121428-79wyxedn	282	115	based	base	VERB
cord-121428-79wyxedn	282	116	dashboard	dashboard	NOUN
cord-121428-79wyxedn	282	117	to	to	PART
cord-121428-79wyxedn	282	118	track	track	VERB
cord-121428-79wyxedn	282	119	covid-19	covid-19	PROPN
cord-121428-79wyxedn	282	120	in	in	ADP
cord-121428-79wyxedn	282	121	real	real	ADJ
cord-121428-79wyxedn	282	122	time	time	NOUN
cord-121428-79wyxedn	282	123	.	.	PUNCT
cord-121428-79wyxedn	283	1	the	the	DET
cord-121428-79wyxedn	283	2	lancet	lancet	PROPN
cord-121428-79wyxedn	283	3	infectious	infectious	ADJ
cord-121428-79wyxedn	283	4	diseases	disease	NOUN
cord-121428-79wyxedn	283	5	strategies	strategy	NOUN
cord-121428-79wyxedn	283	6	for	for	ADP
cord-121428-79wyxedn	283	7	mitigating	mitigate	VERB
cord-121428-79wyxedn	283	8	an	an	DET
cord-121428-79wyxedn	283	9	influenza	influenza	NOUN
cord-121428-79wyxedn	283	10	pandemic	pandemic	NOUN
cord-121428-79wyxedn	283	11	estimating	estimate	VERB
cord-121428-79wyxedn	283	12	the	the	DET
cord-121428-79wyxedn	283	13	number	number	NOUN
cord-121428-79wyxedn	283	14	of	of	ADP
cord-121428-79wyxedn	283	15	infections	infection	NOUN
cord-121428-79wyxedn	283	16	and	and	CCONJ
cord-121428-79wyxedn	283	17	the	the	DET
cord-121428-79wyxedn	283	18	impact	impact	NOUN
cord-121428-79wyxedn	283	19	of	of	ADP
cord-121428-79wyxedn	283	20	non	non	ADJ
cord-121428-79wyxedn	283	21	-	-	ADJ
cord-121428-79wyxedn	283	22	pharmaceutical	pharmaceutical	ADJ
cord-121428-79wyxedn	283	23	interventions	intervention	NOUN
cord-121428-79wyxedn	283	24	on	on	ADP
cord-121428-79wyxedn	283	25	covid-19	covid-19	NUM
cord-121428-79wyxedn	283	26	in	in	ADP
cord-121428-79wyxedn	283	27	11	11	NUM
cord-121428-79wyxedn	283	28	european	european	ADJ
cord-121428-79wyxedn	283	29	countries	country	NOUN
cord-121428-79wyxedn	283	30	inferring	infer	VERB
cord-121428-79wyxedn	283	31	the	the	DET
cord-121428-79wyxedn	283	32	structure	structure	NOUN
cord-121428-79wyxedn	283	33	of	of	ADP
cord-121428-79wyxedn	283	34	social	social	ADJ
cord-121428-79wyxedn	283	35	contacts	contact	NOUN
cord-121428-79wyxedn	283	36	from	from	ADP
cord-121428-79wyxedn	283	37	demographic	demographic	ADJ
cord-121428-79wyxedn	283	38	data	datum	NOUN
cord-121428-79wyxedn	283	39	in	in	ADP
cord-121428-79wyxedn	283	40	the	the	DET
cord-121428-79wyxedn	283	41	analysis	analysis	NOUN
cord-121428-79wyxedn	283	42	of	of	ADP
cord-121428-79wyxedn	283	43	infectious	infectious	ADJ
cord-121428-79wyxedn	283	44	diseases	disease	NOUN
cord-121428-79wyxedn	283	45	spread	spread	VERB
cord-121428-79wyxedn	283	46	fokker	fokker	NOUN
cord-121428-79wyxedn	283	47	-	-	PUNCT
cord-121428-79wyxedn	283	48	planck	planck	NOUN
cord-121428-79wyxedn	283	49	equations	equation	NOUN
cord-121428-79wyxedn	283	50	in	in	ADP
cord-121428-79wyxedn	283	51	the	the	DET
cord-121428-79wyxedn	283	52	modelling	modelling	NOUN
cord-121428-79wyxedn	283	53	of	of	ADP
cord-121428-79wyxedn	283	54	socio	socio	NOUN
cord-121428-79wyxedn	283	55	-	-	ADJ
cord-121428-79wyxedn	283	56	economic	economic	ADJ
cord-121428-79wyxedn	283	57	phenomena	phenomenon	NOUN
cord-121428-79wyxedn	283	58	fokker	fokker	NOUN
cord-121428-79wyxedn	283	59	-	-	PUNCT
cord-121428-79wyxedn	283	60	planck	planck	NOUN
cord-121428-79wyxedn	283	61	equations	equation	NOUN
cord-121428-79wyxedn	283	62	in	in	ADP
cord-121428-79wyxedn	283	63	the	the	DET
cord-121428-79wyxedn	283	64	modelling	modelling	NOUN
cord-121428-79wyxedn	283	65	of	of	ADP
cord-121428-79wyxedn	283	66	socio	socio	NOUN
cord-121428-79wyxedn	283	67	-	-	ADJ
cord-121428-79wyxedn	283	68	economic	economic	ADJ
cord-121428-79wyxedn	283	69	phenomena	phenomena	NOUN
cord-121428-79wyxedn	283	70	non	non	ADJ
cord-121428-79wyxedn	283	71	-	-	ADJ
cord-121428-79wyxedn	283	72	maxwellian	maxwellian	ADJ
cord-121428-79wyxedn	283	73	kinetic	kinetic	ADJ
cord-121428-79wyxedn	283	74	equations	equation	NOUN
cord-121428-79wyxedn	283	75	modeling	model	VERB
cord-121428-79wyxedn	283	76	the	the	DET
cord-121428-79wyxedn	283	77	evolution	evolution	NOUN
cord-121428-79wyxedn	283	78	of	of	ADP
cord-121428-79wyxedn	283	79	wealth	wealth	NOUN
cord-121428-79wyxedn	283	80	distribution	distribution	NOUN
cord-121428-79wyxedn	283	81	relaxation	relaxation	NOUN
cord-121428-79wyxedn	283	82	schemes	scheme	NOUN
cord-121428-79wyxedn	283	83	for	for	ADP
cord-121428-79wyxedn	283	84	nonlinear	nonlinear	ADJ
cord-121428-79wyxedn	283	85	kinetic	kinetic	ADJ
cord-121428-79wyxedn	283	86	equations	equation	NOUN
cord-121428-79wyxedn	283	87	a	a	DET
cord-121428-79wyxedn	283	88	simple	simple	ADJ
cord-121428-79wyxedn	283	89	sir	sir	NOUN
cord-121428-79wyxedn	283	90	model	model	NOUN
cord-121428-79wyxedn	283	91	with	with	ADP
cord-121428-79wyxedn	283	92	a	a	DET
cord-121428-79wyxedn	283	93	large	large	ADJ
cord-121428-79wyxedn	283	94	set	set	NOUN
cord-121428-79wyxedn	283	95	of	of	ADP
cord-121428-79wyxedn	283	96	asymptomatic	asymptomatic	ADJ
cord-121428-79wyxedn	283	97	infectives	infective	NOUN
cord-121428-79wyxedn	283	98	spread	spread	VERB
cord-121428-79wyxedn	283	99	and	and	CCONJ
cord-121428-79wyxedn	283	100	dynamics	dynamic	NOUN
cord-121428-79wyxedn	283	101	of	of	ADP
cord-121428-79wyxedn	283	102	the	the	DET
cord-121428-79wyxedn	283	103	covid-19	covid-19	PROPN
cord-121428-79wyxedn	283	104	epidemic	epidemic	NOUN
cord-121428-79wyxedn	283	105	in	in	ADP
cord-121428-79wyxedn	283	106	italy	italy	PROPN
cord-121428-79wyxedn	283	107	:	:	PUNCT
cord-121428-79wyxedn	283	108	effects	effect	NOUN
cord-121428-79wyxedn	283	109	of	of	ADP
cord-121428-79wyxedn	283	110	emergency	emergency	NOUN
cord-121428-79wyxedn	283	111	containment	containment	NOUN
cord-121428-79wyxedn	283	112	measures	measure	NOUN
cord-121428-79wyxedn	283	113	modelling	model	VERB
cord-121428-79wyxedn	283	114	the	the	DET
cord-121428-79wyxedn	283	115	covid-19	covid-19	PROPN
cord-121428-79wyxedn	283	116	epidemic	epidemic	NOUN
cord-121428-79wyxedn	283	117	and	and	CCONJ
cord-121428-79wyxedn	283	118	implementation	implementation	NOUN
cord-121428-79wyxedn	283	119	of	of	ADP
cord-121428-79wyxedn	283	120	population	population	NOUN
cord-121428-79wyxedn	283	121	-	-	PUNCT
cord-121428-79wyxedn	283	122	wide	wide	ADJ
cord-121428-79wyxedn	283	123	interventions	intervention	NOUN
cord-121428-79wyxedn	283	124	in	in	ADP
cord-121428-79wyxedn	283	125	italy	italy	PROPN
cord-121428-79wyxedn	283	126	call	call	NOUN
cord-121428-79wyxedn	283	127	center	center	PROPN
cord-121428-79wyxedn	283	128	service	service	NOUN
cord-121428-79wyxedn	283	129	times	time	NOUN
cord-121428-79wyxedn	283	130	are	be	AUX
cord-121428-79wyxedn	283	131	lognormal	lognormal	ADJ
cord-121428-79wyxedn	283	132	.	.	PUNCT
cord-121428-79wyxedn	284	1	a	a	DET
cord-121428-79wyxedn	284	2	fokker	fokker	NOUN
cord-121428-79wyxedn	284	3	-	-	PUNCT
cord-121428-79wyxedn	284	4	planck	planck	NOUN
cord-121428-79wyxedn	284	5	description	description	NOUN
cord-121428-79wyxedn	284	6	human	human	ADJ
cord-121428-79wyxedn	284	7	behavior	behavior	NOUN
cord-121428-79wyxedn	284	8	and	and	CCONJ
cord-121428-79wyxedn	284	9	lognormal	lognormal	ADJ
cord-121428-79wyxedn	284	10	distribution	distribution	NOUN
cord-121428-79wyxedn	284	11	.	.	PUNCT
cord-121428-79wyxedn	285	1	a	a	DET
cord-121428-79wyxedn	285	2	kinetic	kinetic	NOUN
cord-121428-79wyxedn	285	3	description	description	NOUN
cord-121428-79wyxedn	285	4	the	the	DET
cord-121428-79wyxedn	285	5	mathematics	mathematic	NOUN
cord-121428-79wyxedn	285	6	of	of	ADP
cord-121428-79wyxedn	285	7	infectious	infectious	ADJ
cord-121428-79wyxedn	285	8	diseases	disease	NOUN
cord-121428-79wyxedn	285	9	prospect	prospect	NOUN
cord-121428-79wyxedn	285	10	theory	theory	NOUN
cord-121428-79wyxedn	285	11	:	:	PUNCT
cord-121428-79wyxedn	285	12	an	an	DET
cord-121428-79wyxedn	285	13	analysis	analysis	NOUN
cord-121428-79wyxedn	285	14	of	of	ADP
cord-121428-79wyxedn	285	15	decision	decision	NOUN
cord-121428-79wyxedn	285	16	under	under	ADP
cord-121428-79wyxedn	285	17	risk	risk	NOUN
cord-121428-79wyxedn	285	18	choices	choice	NOUN
cord-121428-79wyxedn	285	19	,	,	PUNCT
cord-121428-79wyxedn	285	20	values	value	NOUN
cord-121428-79wyxedn	285	21	,	,	PUNCT
cord-121428-79wyxedn	285	22	and	and	CCONJ
cord-121428-79wyxedn	285	23	frames	frame	NOUN
cord-121428-79wyxedn	285	24	determining	determine	VERB
cord-121428-79wyxedn	285	25	the	the	DET
cord-121428-79wyxedn	285	26	best	good	ADJ
cord-121428-79wyxedn	285	27	population	population	NOUN
cord-121428-79wyxedn	285	28	-	-	PUNCT
cord-121428-79wyxedn	285	29	level	level	NOUN
cord-121428-79wyxedn	285	30	alcohol	alcohol	NOUN
cord-121428-79wyxedn	285	31	consumption	consumption	NOUN
cord-121428-79wyxedn	285	32	model	model	NOUN
cord-121428-79wyxedn	285	33	and	and	CCONJ
cord-121428-79wyxedn	285	34	its	its	PRON
cord-121428-79wyxedn	285	35	impact	impact	NOUN
cord-121428-79wyxedn	285	36	on	on	ADP
cord-121428-79wyxedn	285	37	estimates	estimate	NOUN
cord-121428-79wyxedn	285	38	of	of	ADP
cord-121428-79wyxedn	285	39	alcoholattributable	alcoholattributable	ADJ
cord-121428-79wyxedn	285	40	harms	harm	NOUN
cord-121428-79wyxedn	285	41	non	non	ADJ
cord-121428-79wyxedn	285	42	-	-	ADJ
cord-121428-79wyxedn	285	43	linear	linear	ADJ
cord-121428-79wyxedn	285	44	incidence	incidence	NOUN
cord-121428-79wyxedn	285	45	and	and	CCONJ
cord-121428-79wyxedn	285	46	stability	stability	NOUN
cord-121428-79wyxedn	285	47	of	of	ADP
cord-121428-79wyxedn	285	48	infectious	infectious	ADJ
cord-121428-79wyxedn	285	49	disease	disease	NOUN
cord-121428-79wyxedn	285	50	models	model	NOUN
cord-121428-79wyxedn	285	51	a	a	DET
cord-121428-79wyxedn	285	52	physical	physical	ADJ
cord-121428-79wyxedn	285	53	basis	basis	NOUN
cord-121428-79wyxedn	285	54	for	for	ADP
cord-121428-79wyxedn	285	55	the	the	DET
cord-121428-79wyxedn	285	56	generalized	generalized	ADJ
cord-121428-79wyxedn	285	57	gamma	gamma	PROPN
cord-121428-79wyxedn	285	58	distribution	distribution	NOUN
cord-121428-79wyxedn	285	59	log	log	PROPN
cord-121428-79wyxedn	285	60	-	-	PUNCT
cord-121428-79wyxedn	285	61	normal	normal	ADJ
cord-121428-79wyxedn	285	62	distributions	distribution	NOUN
cord-121428-79wyxedn	285	63	across	across	ADP
cord-121428-79wyxedn	285	64	the	the	DET
cord-121428-79wyxedn	285	65	sciences	science	NOUN
cord-121428-79wyxedn	285	66	:	:	PUNCT
cord-121428-79wyxedn	285	67	keys	key	NOUN
cord-121428-79wyxedn	285	68	and	and	CCONJ
cord-121428-79wyxedn	285	69	clues	clue	VERB
cord-121428-79wyxedn	285	70	the	the	DET
cord-121428-79wyxedn	285	71	reproductive	reproductive	ADJ
cord-121428-79wyxedn	285	72	number	number	NOUN
cord-121428-79wyxedn	285	73	of	of	ADP
cord-121428-79wyxedn	285	74	covid-19	covid-19	PROPN
cord-121428-79wyxedn	285	75	is	be	AUX
cord-121428-79wyxedn	285	76	higher	high	ADJ
cord-121428-79wyxedn	285	77	compared	compare	VERB
cord-121428-79wyxedn	285	78	to	to	ADP
cord-121428-79wyxedn	285	79	sars	sar	NOUN
cord-121428-79wyxedn	285	80	coronavirus	coronavirus	PROPN
cord-121428-79wyxedn	285	81	social	social	ADJ
cord-121428-79wyxedn	285	82	contacts	contact	NOUN
cord-121428-79wyxedn	285	83	and	and	CCONJ
cord-121428-79wyxedn	285	84	mixing	mix	VERB
cord-121428-79wyxedn	285	85	pat	pat	NOUN
cord-121428-79wyxedn	285	86	-	-	PUNCT
cord-121428-79wyxedn	285	87	terns	tern	NOUN
cord-121428-79wyxedn	285	88	relevant	relevant	ADJ
cord-121428-79wyxedn	285	89	to	to	ADP
cord-121428-79wyxedn	285	90	the	the	DET
cord-121428-79wyxedn	285	91	spread	spread	NOUN
cord-121428-79wyxedn	285	92	of	of	ADP
cord-121428-79wyxedn	285	93	infectious	infectious	ADJ
cord-121428-79wyxedn	285	94	diseases	disease	NOUN
cord-121428-79wyxedn	285	95	on	on	ADP
cord-121428-79wyxedn	285	96	the	the	DET
cord-121428-79wyxedn	285	97	spread	spread	NOUN
cord-121428-79wyxedn	285	98	of	of	ADP
cord-121428-79wyxedn	285	99	epidemics	epidemic	NOUN
cord-121428-79wyxedn	285	100	in	in	ADP
cord-121428-79wyxedn	285	101	a	a	DET
cord-121428-79wyxedn	285	102	closed	closed	ADJ
cord-121428-79wyxedn	285	103	heterogeneous	heterogeneous	ADJ
cord-121428-79wyxedn	285	104	population	population	NOUN
cord-121428-79wyxedn	285	105	time	time	NOUN
cord-121428-79wyxedn	285	106	relaxed	relaxed	PROPN
cord-121428-79wyxedn	285	107	monte	monte	PROPN
cord-121428-79wyxedn	285	108	carlo	carlo	PROPN
cord-121428-79wyxedn	285	109	methods	method	NOUN
cord-121428-79wyxedn	285	110	for	for	ADP
cord-121428-79wyxedn	285	111	the	the	DET
cord-121428-79wyxedn	285	112	boltzmann	boltzmann	PROPN
cord-121428-79wyxedn	285	113	equation	equation	PROPN
cord-121428-79wyxedn	285	114	interacting	interact	VERB
cord-121428-79wyxedn	285	115	multiagent	multiagent	ADJ
cord-121428-79wyxedn	285	116	systems	system	NOUN
cord-121428-79wyxedn	285	117	:	:	PUNCT
cord-121428-79wyxedn	285	118	kinetic	kinetic	ADJ
cord-121428-79wyxedn	285	119	equations	equation	NOUN
cord-121428-79wyxedn	285	120	and	and	CCONJ
cord-121428-79wyxedn	285	121	monte	monte	PROPN
cord-121428-79wyxedn	285	122	carlo	carlo	PROPN
cord-121428-79wyxedn	285	123	methods	methods	PROPN
cord-121428-79wyxedn	285	124	dipartimento	dipartimento	PROPN
cord-121428-79wyxedn	285	125	della	della	PROPN
cord-121428-79wyxedn	285	126	protezione	protezione	PROPN
cord-121428-79wyxedn	285	127	civile	civile	PROPN
cord-121428-79wyxedn	285	128	.	.	PUNCT
cord-121428-79wyxedn	286	1	github	github	PROPN
cord-121428-79wyxedn	286	2	:	:	PUNCT
cord-121428-79wyxedn	286	3	covid-19	covid-19	PROPN
cord-121428-79wyxedn	286	4	italia	italia	PROPN
cord-121428-79wyxedn	286	5	-monitoraggio	-monitoraggio	VERB
cord-121428-79wyxedn	286	6	situazione	situazione	PROPN
cord-121428-79wyxedn	286	7	gmel	gmel	PROPN
cord-121428-79wyxedn	286	8	,	,	PUNCT
cord-121428-79wyxedn	286	9	gerhard	gerhard	ADJ
cord-121428-79wyxedn	286	10	;	;	PUNCT
cord-121428-79wyxedn	286	11	statistical	statistical	ADJ
cord-121428-79wyxedn	286	12	modeling	modeling	NOUN
cord-121428-79wyxedn	286	13	of	of	ADP
cord-121428-79wyxedn	286	14	volume	volume	NOUN
cord-121428-79wyxedn	286	15	of	of	ADP
cord-121428-79wyxedn	286	16	alcohol	alcohol	NOUN
cord-121428-79wyxedn	286	17	exposure	exposure	NOUN
cord-121428-79wyxedn	286	18	for	for	ADP
cord-121428-79wyxedn	286	19	epidemiological	epidemiological	ADJ
cord-121428-79wyxedn	286	20	studies	study	NOUN
cord-121428-79wyxedn	286	21	of	of	ADP
cord-121428-79wyxedn	286	22	population	population	NOUN
cord-121428-79wyxedn	286	23	health	health	NOUN
cord-121428-79wyxedn	286	24	:	:	PUNCT
cord-121428-79wyxedn	286	25	the	the	DET
cord-121428-79wyxedn	286	26	us	us	PROPN
cord-121428-79wyxedn	286	27	example	example	NOUN
cord-121428-79wyxedn	286	28	transmission	transmission	NOUN
cord-121428-79wyxedn	286	29	dynamics	dynamic	NOUN
cord-121428-79wyxedn	286	30	of	of	ADP
cord-121428-79wyxedn	286	31	the	the	DET
cord-121428-79wyxedn	286	32	etiological	etiological	ADJ
cord-121428-79wyxedn	286	33	agent	agent	NOUN
cord-121428-79wyxedn	286	34	of	of	ADP
cord-121428-79wyxedn	286	35	sars	sar	NOUN
cord-121428-79wyxedn	286	36	in	in	ADP
cord-121428-79wyxedn	286	37	hong	hong	PROPN
cord-121428-79wyxedn	286	38	kong	kong	PROPN
cord-121428-79wyxedn	286	39	:	:	PUNCT
cord-121428-79wyxedn	286	40	impact	impact	NOUN
cord-121428-79wyxedn	286	41	of	of	ADP
cord-121428-79wyxedn	286	42	public	public	ADJ
cord-121428-79wyxedn	286	43	health	health	NOUN
cord-121428-79wyxedn	286	44	interventions	intervention	NOUN
cord-121428-79wyxedn	286	45	epidemic	epidemic	NOUN
cord-121428-79wyxedn	286	46	models	model	NOUN
cord-121428-79wyxedn	286	47	with	with	ADP
cord-121428-79wyxedn	286	48	uncertainty	uncertainty	NOUN
cord-121428-79wyxedn	286	49	in	in	ADP
cord-121428-79wyxedn	286	50	the	the	DET
cord-121428-79wyxedn	286	51	reproduction	reproduction	NOUN
cord-121428-79wyxedn	286	52	a	a	DET
cord-121428-79wyxedn	286	53	generalization	generalization	NOUN
cord-121428-79wyxedn	286	54	of	of	ADP
cord-121428-79wyxedn	286	55	the	the	DET
cord-121428-79wyxedn	286	56	gamma	gamma	NOUN
cord-121428-79wyxedn	286	57	distribution	distribution	NOUN
cord-121428-79wyxedn	286	58	trails	trail	NOUN
cord-121428-79wyxedn	286	59	in	in	ADP
cord-121428-79wyxedn	286	60	kinetic	kinetic	NOUN
cord-121428-79wyxedn	286	61	theory	theory	NOUN
cord-121428-79wyxedn	286	62	:	:	PUNCT
cord-121428-79wyxedn	286	63	foundational	foundational	ADJ
cord-121428-79wyxedn	286	64	aspects	aspect	NOUN
cord-121428-79wyxedn	286	65	and	and	CCONJ
cord-121428-79wyxedn	286	66	numerical	numerical	ADJ
cord-121428-79wyxedn	286	67	methods	method	NOUN
cord-121428-79wyxedn	286	68	entropy	entropy	PROPN
cord-121428-79wyxedn	286	69	-	-	PUNCT
cord-121428-79wyxedn	286	70	type	type	NOUN
cord-121428-79wyxedn	286	71	inequalities	inequality	NOUN
cord-121428-79wyxedn	286	72	for	for	ADP
cord-121428-79wyxedn	286	73	generalized	generalized	ADJ
cord-121428-79wyxedn	286	74	gamma	gamma	PROPN
cord-121428-79wyxedn	286	75	densities	densitie	VERB
cord-121428-79wyxedn	286	76	reproduction	reproduction	NOUN
cord-121428-79wyxedn	286	77	numbers	number	NOUN
cord-121428-79wyxedn	286	78	and	and	CCONJ
cord-121428-79wyxedn	286	79	sub	sub	ADJ
cord-121428-79wyxedn	286	80	-	-	ADJ
cord-121428-79wyxedn	286	81	threshold	threshold	ADJ
cord-121428-79wyxedn	286	82	endemic	endemic	ADJ
cord-121428-79wyxedn	286	83	equilibria	equilibrium	NOUN
cord-121428-79wyxedn	286	84	for	for	ADP
cord-121428-79wyxedn	286	85	compartmental	compartmental	NOUN
cord-121428-79wyxedn	286	86	models	model	NOUN
cord-121428-79wyxedn	286	87	of	of	ADP
cord-121428-79wyxedn	286	88	disease	disease	NOUN
cord-121428-79wyxedn	286	89	transmission	transmission	NOUN
