id	sid	tid	token	lemma	pos
cord-189434-nrkvbdu4	1	1	key	key	ADJ
cord-189434-nrkvbdu4	1	2	:	:	PUNCT
cord-189434-nrkvbdu4	1	3	cord-189434	cord-189434	NOUN
cord-189434-nrkvbdu4	1	4	-	-	PUNCT
cord-189434-nrkvbdu4	1	5	nrkvbdu4	nrkvbdu4	NOUN
cord-189434-nrkvbdu4	1	6	authors	author	NOUN
cord-189434-nrkvbdu4	1	7	:	:	PUNCT
cord-189434-nrkvbdu4	1	8	steinmann	steinmann	PROPN
cord-189434-nrkvbdu4	1	9	,	,	PUNCT
cord-189434-nrkvbdu4	1	10	paul	paul	PROPN
cord-189434-nrkvbdu4	1	11	title	title	PROPN
cord-189434-nrkvbdu4	1	12	:	:	PUNCT
cord-189434-nrkvbdu4	1	13	analytical	analytical	ADJ
cord-189434-nrkvbdu4	1	14	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	1	15	allows	allow	VERB
cord-189434-nrkvbdu4	1	16	novel	novel	ADJ
cord-189434-nrkvbdu4	1	17	vistas	vista	NOUN
cord-189434-nrkvbdu4	1	18	on	on	ADP
cord-189434-nrkvbdu4	1	19	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	1	20	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	1	21	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	1	22	modelling	modelling	NOUN
cord-189434-nrkvbdu4	1	23	date	date	NOUN
cord-189434-nrkvbdu4	1	24	:	:	PUNCT
cord-189434-nrkvbdu4	1	25	2020	2020	NUM
cord-189434-nrkvbdu4	1	26	-	-	SYM
cord-189434-nrkvbdu4	1	27	06	06	NUM
cord-189434-nrkvbdu4	1	28	-	-	PUNCT
cord-189434-nrkvbdu4	1	29	06	06	NUM
cord-189434-nrkvbdu4	1	30	journal	journal	NOUN
cord-189434-nrkvbdu4	1	31	:	:	PUNCT
cord-189434-nrkvbdu4	1	32	nan	nan	PROPN
cord-189434-nrkvbdu4	1	33	doi	doi	PROPN
cord-189434-nrkvbdu4	1	34	:	:	PUNCT
cord-189434-nrkvbdu4	1	35	nan	nan	PROPN
cord-189434-nrkvbdu4	1	36	sha	shall	AUX
cord-189434-nrkvbdu4	1	37	:	:	PUNCT
cord-189434-nrkvbdu4	2	1	doc_id	doc_id	X
cord-189434-nrkvbdu4	2	2	:	:	PUNCT
cord-189434-nrkvbdu4	2	3	189434	189434	NUM
cord-189434-nrkvbdu4	3	1	cord_uid	cord_uid	PROPN
cord-189434-nrkvbdu4	3	2	:	:	PUNCT
cord-189434-nrkvbdu4	3	3	nrkvbdu4	nrkvbdu4	NOUN
cord-189434-nrkvbdu4	3	4	this	this	DET
cord-189434-nrkvbdu4	3	5	contribution	contribution	NOUN
cord-189434-nrkvbdu4	3	6	aims	aim	VERB
cord-189434-nrkvbdu4	3	7	to	to	PART
cord-189434-nrkvbdu4	3	8	shed	shed	VERB
cord-189434-nrkvbdu4	3	9	light	light	NOUN
cord-189434-nrkvbdu4	3	10	on	on	ADP
cord-189434-nrkvbdu4	3	11	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	3	12	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	3	13	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	3	14	modelling	model	VERB
cord-189434-nrkvbdu4	3	15	from	from	ADP
cord-189434-nrkvbdu4	3	16	the	the	DET
cord-189434-nrkvbdu4	3	17	viewpoint	viewpoint	NOUN
cord-189434-nrkvbdu4	3	18	of	of	ADP
cord-189434-nrkvbdu4	3	19	analytical	analytical	ADJ
cord-189434-nrkvbdu4	3	20	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	3	21	.	.	PUNCT
cord-189434-nrkvbdu4	4	1	to	to	PART
cord-189434-nrkvbdu4	4	2	set	set	VERB
cord-189434-nrkvbdu4	4	3	the	the	DET
cord-189434-nrkvbdu4	4	4	stage	stage	NOUN
cord-189434-nrkvbdu4	4	5	,	,	PUNCT
cord-189434-nrkvbdu4	4	6	it	it	PRON
cord-189434-nrkvbdu4	4	7	recasts	recast	VERB
cord-189434-nrkvbdu4	4	8	the	the	DET
cord-189434-nrkvbdu4	4	9	basic	basic	ADJ
cord-189434-nrkvbdu4	4	10	sir	sir	NOUN
cord-189434-nrkvbdu4	4	11	model	model	NOUN
cord-189434-nrkvbdu4	4	12	of	of	ADP
cord-189434-nrkvbdu4	4	13	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	4	14	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	4	15	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	4	16	in	in	ADP
cord-189434-nrkvbdu4	4	17	an	an	DET
cord-189434-nrkvbdu4	4	18	analytical	analytical	ADJ
cord-189434-nrkvbdu4	4	19	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	4	20	setting	setting	NOUN
cord-189434-nrkvbdu4	4	21	.	.	PUNCT
cord-189434-nrkvbdu4	5	1	thereby	thereby	ADV
cord-189434-nrkvbdu4	5	2	,	,	PUNCT
cord-189434-nrkvbdu4	5	3	it	it	PRON
cord-189434-nrkvbdu4	5	4	considers	consider	VERB
cord-189434-nrkvbdu4	5	5	two	two	NUM
cord-189434-nrkvbdu4	5	6	possible	possible	ADJ
cord-189434-nrkvbdu4	5	7	re	re	NOUN
cord-189434-nrkvbdu4	5	8	-	-	NOUN
cord-189434-nrkvbdu4	5	9	parameterizations	parameterization	NOUN
cord-189434-nrkvbdu4	5	10	of	of	ADP
cord-189434-nrkvbdu4	5	11	the	the	DET
cord-189434-nrkvbdu4	5	12	basic	basic	ADJ
cord-189434-nrkvbdu4	5	13	sir	sir	PROPN
cord-189434-nrkvbdu4	5	14	model	model	NOUN
cord-189434-nrkvbdu4	5	15	.	.	PUNCT
cord-189434-nrkvbdu4	6	1	on	on	ADP
cord-189434-nrkvbdu4	6	2	the	the	DET
cord-189434-nrkvbdu4	6	3	one	one	NUM
cord-189434-nrkvbdu4	6	4	hand	hand	NOUN
cord-189434-nrkvbdu4	6	5	,	,	PUNCT
cord-189434-nrkvbdu4	6	6	it	it	PRON
cord-189434-nrkvbdu4	6	7	is	be	AUX
cord-189434-nrkvbdu4	6	8	proposed	propose	VERB
cord-189434-nrkvbdu4	6	9	to	to	PART
cord-189434-nrkvbdu4	6	10	re	re	VERB
cord-189434-nrkvbdu4	6	11	-	-	VERB
cord-189434-nrkvbdu4	6	12	scale	scale	ADJ
cord-189434-nrkvbdu4	6	13	time	time	NOUN
cord-189434-nrkvbdu4	6	14	,	,	PUNCT
cord-189434-nrkvbdu4	6	15	while	while	SCONJ
cord-189434-nrkvbdu4	6	16	on	on	ADP
cord-189434-nrkvbdu4	6	17	the	the	DET
cord-189434-nrkvbdu4	6	18	other	other	ADJ
cord-189434-nrkvbdu4	6	19	hand	hand	NOUN
cord-189434-nrkvbdu4	6	20	,	,	PUNCT
cord-189434-nrkvbdu4	6	21	to	to	PART
cord-189434-nrkvbdu4	6	22	transform	transform	VERB
cord-189434-nrkvbdu4	6	23	the	the	DET
cord-189434-nrkvbdu4	6	24	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	6	25	,	,	PUNCT
cord-189434-nrkvbdu4	6	26	i.e.	i.e.	X
cord-189434-nrkvbdu4	6	27	the	the	DET
cord-189434-nrkvbdu4	6	28	independent	independent	ADJ
cord-189434-nrkvbdu4	6	29	variables	variable	NOUN
cord-189434-nrkvbdu4	6	30	.	.	PUNCT
cord-189434-nrkvbdu4	7	1	in	in	ADP
cord-189434-nrkvbdu4	7	2	both	both	DET
cord-189434-nrkvbdu4	7	3	cases	case	NOUN
cord-189434-nrkvbdu4	7	4	,	,	PUNCT
cord-189434-nrkvbdu4	7	5	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	7	6	's	's	PART
cord-189434-nrkvbdu4	7	7	equations	equation	NOUN
cord-189434-nrkvbdu4	7	8	in	in	ADP
cord-189434-nrkvbdu4	7	9	terms	term	NOUN
cord-189434-nrkvbdu4	7	10	of	of	ADP
cord-189434-nrkvbdu4	7	11	a	a	DET
cord-189434-nrkvbdu4	7	12	suited	suited	ADJ
cord-189434-nrkvbdu4	7	13	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	7	14	as	as	ADV
cord-189434-nrkvbdu4	7	15	well	well	ADV
cord-189434-nrkvbdu4	7	16	as	as	ADP
cord-189434-nrkvbdu4	7	17	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	7	18	's	's	PART
cord-189434-nrkvbdu4	7	19	principle	principle	NOUN
cord-189434-nrkvbdu4	7	20	in	in	ADP
cord-189434-nrkvbdu4	7	21	terms	term	NOUN
cord-189434-nrkvbdu4	7	22	of	of	ADP
cord-189434-nrkvbdu4	7	23	a	a	DET
cord-189434-nrkvbdu4	7	24	suited	suited	ADJ
cord-189434-nrkvbdu4	7	25	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	7	26	are	be	AUX
cord-189434-nrkvbdu4	7	27	considered	consider	VERB
cord-189434-nrkvbdu4	7	28	in	in	ADP
cord-189434-nrkvbdu4	7	29	minimal	minimal	ADJ
cord-189434-nrkvbdu4	7	30	and	and	CCONJ
cord-189434-nrkvbdu4	7	31	extended	extended	ADJ
cord-189434-nrkvbdu4	7	32	phase	phase	NOUN
cord-189434-nrkvbdu4	7	33	and	and	CCONJ
cord-189434-nrkvbdu4	7	34	state	state	NOUN
cord-189434-nrkvbdu4	7	35	space	space	NOUN
cord-189434-nrkvbdu4	7	36	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	7	37	,	,	PUNCT
cord-189434-nrkvbdu4	7	38	respectively	respectively	ADV
cord-189434-nrkvbdu4	7	39	.	.	PUNCT
cord-189434-nrkvbdu4	8	1	the	the	DET
cord-189434-nrkvbdu4	8	2	corresponding	corresponding	ADJ
cord-189434-nrkvbdu4	8	3	legendre	legendre	NOUN
cord-189434-nrkvbdu4	8	4	transformations	transformation	NOUN
cord-189434-nrkvbdu4	8	5	relating	relate	VERB
cord-189434-nrkvbdu4	8	6	the	the	DET
cord-189434-nrkvbdu4	8	7	various	various	ADJ
cord-189434-nrkvbdu4	8	8	options	option	NOUN
cord-189434-nrkvbdu4	8	9	for	for	ADP
cord-189434-nrkvbdu4	8	10	the	the	DET
cord-189434-nrkvbdu4	8	11	hamiltonians	hamiltonian	NOUN
cord-189434-nrkvbdu4	8	12	and	and	CCONJ
cord-189434-nrkvbdu4	8	13	lagrangians	lagrangians	PROPN
cord-189434-nrkvbdu4	8	14	are	be	AUX
cord-189434-nrkvbdu4	8	15	detailed	detail	VERB
cord-189434-nrkvbdu4	8	16	.	.	PUNCT
cord-189434-nrkvbdu4	9	1	ultimately	ultimately	ADV
cord-189434-nrkvbdu4	9	2	,	,	PUNCT
cord-189434-nrkvbdu4	9	3	this	this	DET
cord-189434-nrkvbdu4	9	4	contribution	contribution	NOUN
cord-189434-nrkvbdu4	9	5	expands	expand	VERB
cord-189434-nrkvbdu4	9	6	on	on	ADP
cord-189434-nrkvbdu4	9	7	a	a	DET
cord-189434-nrkvbdu4	9	8	multitude	multitude	NOUN
cord-189434-nrkvbdu4	9	9	of	of	ADP
cord-189434-nrkvbdu4	9	10	novel	novel	ADJ
cord-189434-nrkvbdu4	9	11	vistas	vista	NOUN
cord-189434-nrkvbdu4	9	12	on	on	ADP
cord-189434-nrkvbdu4	9	13	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	9	14	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	9	15	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	9	16	modelling	modelling	NOUN
cord-189434-nrkvbdu4	9	17	that	that	PRON
cord-189434-nrkvbdu4	9	18	emerge	emerge	VERB
cord-189434-nrkvbdu4	9	19	from	from	ADP
cord-189434-nrkvbdu4	9	20	the	the	DET
cord-189434-nrkvbdu4	9	21	analytical	analytical	ADJ
cord-189434-nrkvbdu4	9	22	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	9	23	viewpoint	viewpoint	NOUN
cord-189434-nrkvbdu4	9	24	.	.	PUNCT
cord-189434-nrkvbdu4	10	1	as	as	ADP
cord-189434-nrkvbdu4	10	2	result	result	NOUN
cord-189434-nrkvbdu4	10	3	,	,	PUNCT
cord-189434-nrkvbdu4	10	4	it	it	PRON
cord-189434-nrkvbdu4	10	5	is	be	AUX
cord-189434-nrkvbdu4	10	6	believed	believe	VERB
cord-189434-nrkvbdu4	10	7	that	that	SCONJ
cord-189434-nrkvbdu4	10	8	interesting	interesting	ADJ
cord-189434-nrkvbdu4	10	9	and	and	CCONJ
cord-189434-nrkvbdu4	10	10	relevant	relevant	ADJ
cord-189434-nrkvbdu4	10	11	new	new	ADJ
cord-189434-nrkvbdu4	10	12	research	research	NOUN
cord-189434-nrkvbdu4	10	13	avenues	avenue	NOUN
cord-189434-nrkvbdu4	10	14	open	open	VERB
cord-189434-nrkvbdu4	10	15	up	up	ADP
cord-189434-nrkvbdu4	10	16	when	when	SCONJ
cord-189434-nrkvbdu4	10	17	exploiting	exploit	VERB
cord-189434-nrkvbdu4	10	18	in	in	ADP
cord-189434-nrkvbdu4	10	19	depth	depth	NOUN
cord-189434-nrkvbdu4	10	20	the	the	DET
cord-189434-nrkvbdu4	10	21	analogies	analogy	NOUN
cord-189434-nrkvbdu4	10	22	between	between	ADP
cord-189434-nrkvbdu4	10	23	analytical	analytical	ADJ
cord-189434-nrkvbdu4	10	24	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	10	25	and	and	CCONJ
cord-189434-nrkvbdu4	10	26	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	10	27	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	10	28	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	10	29	modelling	modelling	NOUN
cord-189434-nrkvbdu4	10	30	.	.	PUNCT
cord-189434-nrkvbdu4	11	1	the	the	DET
cord-189434-nrkvbdu4	11	2	global	global	ADJ
cord-189434-nrkvbdu4	11	3	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	11	4	pandemic	pandemic	NOUN
cord-189434-nrkvbdu4	11	5	,	,	PUNCT
cord-189434-nrkvbdu4	11	6	with	with	ADP
cord-189434-nrkvbdu4	11	7	alleged	allege	VERB
cord-189434-nrkvbdu4	11	8	outbreak	outbreak	NOUN
cord-189434-nrkvbdu4	11	9	by	by	ADP
cord-189434-nrkvbdu4	11	10	the	the	DET
cord-189434-nrkvbdu4	11	11	end	end	NOUN
cord-189434-nrkvbdu4	11	12	of	of	ADP
cord-189434-nrkvbdu4	11	13	2019	2019	NUM
cord-189434-nrkvbdu4	11	14	in	in	ADP
cord-189434-nrkvbdu4	11	15	wuhan	wuhan	PROPN
cord-189434-nrkvbdu4	11	16	,	,	PUNCT
cord-189434-nrkvbdu4	11	17	china	china	PROPN
cord-189434-nrkvbdu4	11	18	[	[	PUNCT
cord-189434-nrkvbdu4	11	19	17	17	NUM
cord-189434-nrkvbdu4	11	20	]	]	PUNCT
cord-189434-nrkvbdu4	11	21	,	,	PUNCT
cord-189434-nrkvbdu4	11	22	despite	despite	SCONJ
cord-189434-nrkvbdu4	11	23	its	its	PRON
cord-189434-nrkvbdu4	11	24	devastating	devastating	ADJ
cord-189434-nrkvbdu4	11	25	implications	implication	NOUN
cord-189434-nrkvbdu4	11	26	for	for	ADP
cord-189434-nrkvbdu4	11	27	health	health	NOUN
cord-189434-nrkvbdu4	11	28	,	,	PUNCT
cord-189434-nrkvbdu4	11	29	economy	economy	NOUN
cord-189434-nrkvbdu4	11	30	,	,	PUNCT
cord-189434-nrkvbdu4	11	31	and	and	CCONJ
cord-189434-nrkvbdu4	11	32	society	society	NOUN
cord-189434-nrkvbdu4	11	33	-has	-has	PROPN
cord-189434-nrkvbdu4	11	34	in	in	ADP
cord-189434-nrkvbdu4	11	35	particular	particular	ADJ
cord-189434-nrkvbdu4	11	36	challenged	challenge	VERB
cord-189434-nrkvbdu4	11	37	modelling	modelling	NOUN
cord-189434-nrkvbdu4	11	38	and	and	CCONJ
cord-189434-nrkvbdu4	11	39	simulation	simulation	NOUN
cord-189434-nrkvbdu4	11	40	of	of	ADP
cord-189434-nrkvbdu4	11	41	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	11	42	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	11	43	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	11	44	.	.	PUNCT
cord-189434-nrkvbdu4	12	1	political	political	ADJ
cord-189434-nrkvbdu4	12	2	decision	decision	NOUN
cord-189434-nrkvbdu4	12	3	makers	maker	NOUN
cord-189434-nrkvbdu4	12	4	around	around	ADP
cord-189434-nrkvbdu4	12	5	the	the	DET
cord-189434-nrkvbdu4	12	6	globe	globe	NOUN
cord-189434-nrkvbdu4	12	7	seek	seek	VERB
cord-189434-nrkvbdu4	12	8	(	(	PUNCT
cord-189434-nrkvbdu4	12	9	or	or	CCONJ
cord-189434-nrkvbdu4	12	10	should	should	AUX
cord-189434-nrkvbdu4	12	11	seek	seek	VERB
cord-189434-nrkvbdu4	12	12	)	)	PUNCT
cord-189434-nrkvbdu4	12	13	advise	advise	VERB
cord-189434-nrkvbdu4	12	14	from	from	ADP
cord-189434-nrkvbdu4	12	15	scientist	scientist	NOUN
cord-189434-nrkvbdu4	12	16	such	such	ADJ
cord-189434-nrkvbdu4	12	17	as	as	ADP
cord-189434-nrkvbdu4	12	18	virologists	virologist	NOUN
cord-189434-nrkvbdu4	12	19	,	,	PUNCT
cord-189434-nrkvbdu4	12	20	biologists	biologist	NOUN
cord-189434-nrkvbdu4	12	21	,	,	PUNCT
cord-189434-nrkvbdu4	12	22	clinicians	clinician	NOUN
cord-189434-nrkvbdu4	12	23	,	,	PUNCT
cord-189434-nrkvbdu4	12	24	economists	economist	NOUN
cord-189434-nrkvbdu4	12	25	,	,	PUNCT
cord-189434-nrkvbdu4	12	26	sociologist	sociologist	NOUN
cord-189434-nrkvbdu4	12	27	as	as	ADV
cord-189434-nrkvbdu4	12	28	well	well	ADV
cord-189434-nrkvbdu4	12	29	as	as	ADP
cord-189434-nrkvbdu4	12	30	modelers	modeler	NOUN
cord-189434-nrkvbdu4	12	31	from	from	ADP
cord-189434-nrkvbdu4	12	32	different	different	ADJ
cord-189434-nrkvbdu4	12	33	fields	field	NOUN
cord-189434-nrkvbdu4	12	34	.	.	PUNCT
cord-189434-nrkvbdu4	13	1	especially	especially	ADV
cord-189434-nrkvbdu4	13	2	the	the	DET
cord-189434-nrkvbdu4	13	3	latter	latter	ADJ
cord-189434-nrkvbdu4	13	4	are	be	AUX
cord-189434-nrkvbdu4	13	5	in	in	ADP
cord-189434-nrkvbdu4	13	6	the	the	DET
cord-189434-nrkvbdu4	13	7	position	position	NOUN
cord-189434-nrkvbdu4	13	8	to	to	PART
cord-189434-nrkvbdu4	13	9	virtually	virtually	ADV
cord-189434-nrkvbdu4	13	10	simulate	simulate	VERB
cord-189434-nrkvbdu4	13	11	various	various	ADJ
cord-189434-nrkvbdu4	13	12	scenarios	scenario	NOUN
cord-189434-nrkvbdu4	13	13	based	base	VERB
cord-189434-nrkvbdu4	13	14	on	on	ADP
cord-189434-nrkvbdu4	13	15	well	well	ADV
cord-189434-nrkvbdu4	13	16	-	-	PUNCT
cord-189434-nrkvbdu4	13	17	founded	found	VERB
cord-189434-nrkvbdu4	13	18	assumptions	assumption	NOUN
cord-189434-nrkvbdu4	13	19	in	in	ADP
cord-189434-nrkvbdu4	13	20	order	order	NOUN
cord-189434-nrkvbdu4	13	21	to	to	PART
cord-189434-nrkvbdu4	13	22	provide	provide	VERB
cord-189434-nrkvbdu4	13	23	support	support	NOUN
cord-189434-nrkvbdu4	13	24	and	and	CCONJ
cord-189434-nrkvbdu4	13	25	guidance	guidance	NOUN
cord-189434-nrkvbdu4	13	26	for	for	ADP
cord-189434-nrkvbdu4	13	27	the	the	DET
cord-189434-nrkvbdu4	13	28	difficult	difficult	ADJ
cord-189434-nrkvbdu4	13	29	and	and	CCONJ
cord-189434-nrkvbdu4	13	30	momentous	momentous	ADJ
cord-189434-nrkvbdu4	13	31	decisions	decision	NOUN
cord-189434-nrkvbdu4	13	32	of	of	ADP
cord-189434-nrkvbdu4	13	33	politicians	politician	NOUN
cord-189434-nrkvbdu4	13	34	,	,	PUNCT
cord-189434-nrkvbdu4	13	35	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	13	36	on	on	ADP
cord-189434-nrkvbdu4	13	37	lockdown	lockdown	NOUN
cord-189434-nrkvbdu4	13	38	measures	measure	NOUN
cord-189434-nrkvbdu4	13	39	and	and	CCONJ
cord-189434-nrkvbdu4	13	40	step	step	NOUN
cord-189434-nrkvbdu4	13	41	-	-	PUNCT
cord-189434-nrkvbdu4	13	42	wise	wise	ADJ
cord-189434-nrkvbdu4	13	43	exit	exit	NOUN
cord-189434-nrkvbdu4	13	44	strategies	strategy	NOUN
cord-189434-nrkvbdu4	13	45	thereof	thereof	ADV
cord-189434-nrkvbdu4	13	46	.	.	PUNCT
cord-189434-nrkvbdu4	14	1	thus	thus	ADV
cord-189434-nrkvbdu4	14	2	,	,	PUNCT
cord-189434-nrkvbdu4	14	3	the	the	DET
cord-189434-nrkvbdu4	14	4	critical	critical	ADJ
cord-189434-nrkvbdu4	14	5	importance	importance	NOUN
cord-189434-nrkvbdu4	14	6	of	of	ADP
cord-189434-nrkvbdu4	14	7	modelling	modelling	NOUN
cord-189434-nrkvbdu4	14	8	is	be	AUX
cord-189434-nrkvbdu4	14	9	clearly	clearly	ADV
cord-189434-nrkvbdu4	14	10	appreciated	appreciate	VERB
cord-189434-nrkvbdu4	14	11	,	,	PUNCT
cord-189434-nrkvbdu4	14	12	and	and	CCONJ
cord-189434-nrkvbdu4	14	13	indeed	indeed	ADV
cord-189434-nrkvbdu4	14	14	,	,	PUNCT
cord-189434-nrkvbdu4	14	15	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	14	16	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	14	17	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	14	18	modelling	modelling	NOUN
cord-189434-nrkvbdu4	14	19	is	be	AUX
cord-189434-nrkvbdu4	14	20	a	a	DET
cord-189434-nrkvbdu4	14	21	well	well	ADV
cord-189434-nrkvbdu4	14	22	-	-	PUNCT
cord-189434-nrkvbdu4	14	23	established	establish	VERB
cord-189434-nrkvbdu4	14	24	and	and	CCONJ
cord-189434-nrkvbdu4	14	25	mature	mature	ADJ
cord-189434-nrkvbdu4	14	26	field	field	NOUN
cord-189434-nrkvbdu4	14	27	:	:	PUNCT
cord-189434-nrkvbdu4	14	28	traditional	traditional	ADJ
cord-189434-nrkvbdu4	14	29	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	14	30	modelling	modelling	NOUN
cord-189434-nrkvbdu4	14	31	of	of	ADP
cord-189434-nrkvbdu4	14	32	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	14	33	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	14	34	roots	root	NOUN
cord-189434-nrkvbdu4	14	35	in	in	ADP
cord-189434-nrkvbdu4	14	36	the	the	DET
cord-189434-nrkvbdu4	14	37	concept	concept	NOUN
cord-189434-nrkvbdu4	14	38	of	of	ADP
cord-189434-nrkvbdu4	14	39	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	14	40	,	,	PUNCT
cord-189434-nrkvbdu4	14	41	infected	infect	VERB
cord-189434-nrkvbdu4	14	42	,	,	PUNCT
cord-189434-nrkvbdu4	14	43	and	and	CCONJ
cord-189434-nrkvbdu4	14	44	recovered	recover	VERB
cord-189434-nrkvbdu4	14	45	(	(	PUNCT
cord-189434-nrkvbdu4	14	46	sir	sir	PROPN
cord-189434-nrkvbdu4	14	47	)	)	PUNCT
cord-189434-nrkvbdu4	14	48	compartments	compartment	NOUN
cord-189434-nrkvbdu4	14	49	as	as	ADV
cord-189434-nrkvbdu4	14	50	originally	originally	ADV
cord-189434-nrkvbdu4	14	51	proposed	propose	VERB
cord-189434-nrkvbdu4	14	52	in	in	ADP
cord-189434-nrkvbdu4	14	53	[	[	SYM
cord-189434-nrkvbdu4	14	54	13	13	NUM
cord-189434-nrkvbdu4	14	55	]	]	PUNCT
cord-189434-nrkvbdu4	14	56	.	.	PUNCT
cord-189434-nrkvbdu4	15	1	various	various	ADJ
cord-189434-nrkvbdu4	15	2	modifications	modification	NOUN
cord-189434-nrkvbdu4	15	3	extend	extend	VERB
cord-189434-nrkvbdu4	15	4	the	the	DET
cord-189434-nrkvbdu4	15	5	classical	classical	ADJ
cord-189434-nrkvbdu4	15	6	sir	sir	NOUN
cord-189434-nrkvbdu4	15	7	model	model	NOUN
cord-189434-nrkvbdu4	15	8	to	to	PART
cord-189434-nrkvbdu4	15	9	account	account	VERB
cord-189434-nrkvbdu4	15	10	for	for	ADP
cord-189434-nrkvbdu4	15	11	further	further	ADJ
cord-189434-nrkvbdu4	15	12	compartments	compartment	NOUN
cord-189434-nrkvbdu4	15	13	such	such	ADJ
cord-189434-nrkvbdu4	15	14	as	as	ADP
cord-189434-nrkvbdu4	15	15	,	,	PUNCT
cord-189434-nrkvbdu4	15	16	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	15	17	,	,	PUNCT
cord-189434-nrkvbdu4	15	18	deceased	deceased	ADJ
cord-189434-nrkvbdu4	15	19	(	(	PUNCT
cord-189434-nrkvbdu4	15	20	sird	sird	PROPN
cord-189434-nrkvbdu4	15	21	model	model	PROPN
cord-189434-nrkvbdu4	15	22	)	)	PUNCT
cord-189434-nrkvbdu4	15	23	,	,	PUNCT
cord-189434-nrkvbdu4	15	24	exposed	expose	VERB
cord-189434-nrkvbdu4	15	25	(	(	PUNCT
cord-189434-nrkvbdu4	15	26	seir	seir	NOUN
cord-189434-nrkvbdu4	15	27	model	model	NOUN
cord-189434-nrkvbdu4	15	28	)	)	PUNCT
cord-189434-nrkvbdu4	15	29	,	,	PUNCT
cord-189434-nrkvbdu4	15	30	and	and	CCONJ
cord-189434-nrkvbdu4	15	31	quarantined	quarantine	VERB
cord-189434-nrkvbdu4	15	32	(	(	PUNCT
cord-189434-nrkvbdu4	15	33	siqrd	siqrd	PROPN
cord-189434-nrkvbdu4	15	34	model	model	NOUN
cord-189434-nrkvbdu4	15	35	)	)	PUNCT
cord-189434-nrkvbdu4	15	36	,	,	PUNCT
cord-189434-nrkvbdu4	15	37	among	among	ADP
cord-189434-nrkvbdu4	15	38	many	many	ADJ
cord-189434-nrkvbdu4	15	39	other	other	ADJ
cord-189434-nrkvbdu4	15	40	sophisticated	sophisticated	ADJ
cord-189434-nrkvbdu4	15	41	options	option	NOUN
cord-189434-nrkvbdu4	15	42	,	,	PUNCT
cord-189434-nrkvbdu4	15	43	see	see	VERB
cord-189434-nrkvbdu4	15	44	[	[	X
cord-189434-nrkvbdu4	15	45	8	8	NUM
cord-189434-nrkvbdu4	15	46	,	,	PUNCT
cord-189434-nrkvbdu4	15	47	5	5	NUM
cord-189434-nrkvbdu4	15	48	]	]	PUNCT
cord-189434-nrkvbdu4	15	49	.	.	PUNCT
cord-189434-nrkvbdu4	16	1	classical	classical	ADJ
cord-189434-nrkvbdu4	16	2	sir	sir	NOUN
cord-189434-nrkvbdu4	16	3	-	-	PUNCT
cord-189434-nrkvbdu4	16	4	type	type	NOUN
cord-189434-nrkvbdu4	16	5	compartment	compartment	NOUN
cord-189434-nrkvbdu4	16	6	-	-	PUNCT
cord-189434-nrkvbdu4	16	7	based	base	VERB
cord-189434-nrkvbdu4	16	8	models	model	NOUN
cord-189434-nrkvbdu4	16	9	are	be	AUX
cord-189434-nrkvbdu4	16	10	coupled	couple	VERB
cord-189434-nrkvbdu4	16	11	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	16	12	-	-	PUNCT
cord-189434-nrkvbdu4	16	13	differentialequations	differentialequation	NOUN
cord-189434-nrkvbdu4	16	14	(	(	PUNCT
cord-189434-nrkvbdu4	16	15	odes	ode	NOUN
cord-189434-nrkvbdu4	16	16	)	)	PUNCT
cord-189434-nrkvbdu4	16	17	.	.	PUNCT
cord-189434-nrkvbdu4	17	1	extending	extend	VERB
cord-189434-nrkvbdu4	17	2	the	the	DET
cord-189434-nrkvbdu4	17	3	ode	ode	NOUN
cord-189434-nrkvbdu4	17	4	-	-	PUNCT
cord-189434-nrkvbdu4	17	5	based	base	VERB
cord-189434-nrkvbdu4	17	6	sir	sir	NOUN
cord-189434-nrkvbdu4	17	7	-	-	PUNCT
cord-189434-nrkvbdu4	17	8	type	type	NOUN
cord-189434-nrkvbdu4	17	9	modelling	modelling	NOUN
cord-189434-nrkvbdu4	17	10	approach	approach	NOUN
cord-189434-nrkvbdu4	17	11	to	to	ADP
cord-189434-nrkvbdu4	17	12	integro	integro	NOUN
cord-189434-nrkvbdu4	17	13	-	-	PUNCT
cord-189434-nrkvbdu4	17	14	differentialequations	differentialequation	NOUN
cord-189434-nrkvbdu4	17	15	(	(	PUNCT
cord-189434-nrkvbdu4	17	16	ides	ide	NOUN
cord-189434-nrkvbdu4	17	17	)	)	PUNCT
cord-189434-nrkvbdu4	17	18	allows	allow	VERB
cord-189434-nrkvbdu4	17	19	to	to	PART
cord-189434-nrkvbdu4	17	20	also	also	ADV
cord-189434-nrkvbdu4	17	21	consider	consider	VERB
cord-189434-nrkvbdu4	17	22	the	the	DET
cord-189434-nrkvbdu4	17	23	detailed	detailed	ADJ
cord-189434-nrkvbdu4	17	24	course	course	NOUN
cord-189434-nrkvbdu4	17	25	of	of	ADP
cord-189434-nrkvbdu4	17	26	the	the	DET
cord-189434-nrkvbdu4	17	27	disease	disease	NOUN
cord-189434-nrkvbdu4	17	28	,	,	PUNCT
cord-189434-nrkvbdu4	17	29	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	17	30	,	,	PUNCT
cord-189434-nrkvbdu4	17	31	delay	delay	NOUN
cord-189434-nrkvbdu4	17	32	due	due	ADP
cord-189434-nrkvbdu4	17	33	to	to	ADP
cord-189434-nrkvbdu4	17	34	incubation	incubation	NOUN
cord-189434-nrkvbdu4	17	35	time	time	NOUN
cord-189434-nrkvbdu4	17	36	and	and	CCONJ
cord-189434-nrkvbdu4	17	37	the	the	DET
cord-189434-nrkvbdu4	17	38	infectious	infectious	ADJ
cord-189434-nrkvbdu4	17	39	period	period	NOUN
cord-189434-nrkvbdu4	17	40	,	,	PUNCT
cord-189434-nrkvbdu4	17	41	see	see	VERB
cord-189434-nrkvbdu4	17	42	[	[	X
cord-189434-nrkvbdu4	17	43	11	11	NUM
cord-189434-nrkvbdu4	17	44	]	]	PUNCT
cord-189434-nrkvbdu4	17	45	.	.	PUNCT
cord-189434-nrkvbdu4	18	1	sir	sir	NOUN
cord-189434-nrkvbdu4	18	2	-	-	PUNCT
cord-189434-nrkvbdu4	18	3	type	type	NOUN
cord-189434-nrkvbdu4	18	4	models	model	NOUN
cord-189434-nrkvbdu4	18	5	describe	describe	VERB
cord-189434-nrkvbdu4	18	6	the	the	DET
cord-189434-nrkvbdu4	18	7	temporal	temporal	ADJ
cord-189434-nrkvbdu4	18	8	spread	spread	NOUN
cord-189434-nrkvbdu4	18	9	of	of	ADP
cord-189434-nrkvbdu4	18	10	infectious	infectious	ADJ
cord-189434-nrkvbdu4	18	11	diseases	disease	NOUN
cord-189434-nrkvbdu4	18	12	for	for	ADP
cord-189434-nrkvbdu4	18	13	integral	integral	ADJ
cord-189434-nrkvbdu4	18	14	populations	population	NOUN
cord-189434-nrkvbdu4	18	15	,	,	PUNCT
cord-189434-nrkvbdu4	18	16	thereby	thereby	ADV
cord-189434-nrkvbdu4	18	17	,	,	PUNCT
cord-189434-nrkvbdu4	18	18	however	however	ADV
cord-189434-nrkvbdu4	18	19	,	,	PUNCT
cord-189434-nrkvbdu4	18	20	neglecting	neglect	VERB
cord-189434-nrkvbdu4	18	21	the	the	DET
cord-189434-nrkvbdu4	18	22	interconnectedness	interconnectedness	NOUN
cord-189434-nrkvbdu4	18	23	of	of	ADP
cord-189434-nrkvbdu4	18	24	spatially	spatially	ADV
cord-189434-nrkvbdu4	18	25	distributed	distribute	VERB
cord-189434-nrkvbdu4	18	26	geographic	geographic	ADJ
cord-189434-nrkvbdu4	18	27	areas	area	NOUN
cord-189434-nrkvbdu4	18	28	.	.	PUNCT
cord-189434-nrkvbdu4	19	1	recently	recently	ADV
cord-189434-nrkvbdu4	19	2	proposed	propose	VERB
cord-189434-nrkvbdu4	19	3	multiple	multiple	ADJ
cord-189434-nrkvbdu4	19	4	compartment	compartment	NOUN
cord-189434-nrkvbdu4	19	5	models	model	NOUN
cord-189434-nrkvbdu4	19	6	,	,	PUNCT
cord-189434-nrkvbdu4	19	7	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	19	8	the	the	DET
cord-189434-nrkvbdu4	19	9	mcsir	mcsir	PROPN
cord-189434-nrkvbdu4	19	10	model	model	NOUN
cord-189434-nrkvbdu4	19	11	in	in	ADP
cord-189434-nrkvbdu4	19	12	[	[	X
cord-189434-nrkvbdu4	19	13	26	26	NUM
cord-189434-nrkvbdu4	19	14	]	]	PUNCT
cord-189434-nrkvbdu4	19	15	,	,	PUNCT
cord-189434-nrkvbdu4	19	16	also	also	ADV
cord-189434-nrkvbdu4	19	17	allow	allow	VERB
cord-189434-nrkvbdu4	19	18	consideration	consideration	NOUN
cord-189434-nrkvbdu4	19	19	of	of	ADP
cord-189434-nrkvbdu4	19	20	the	the	DET
cord-189434-nrkvbdu4	19	21	geographical	geographical	ADJ
cord-189434-nrkvbdu4	19	22	spread	spread	NOUN
cord-189434-nrkvbdu4	19	23	of	of	ADP
cord-189434-nrkvbdu4	19	24	potentially	potentially	ADV
cord-189434-nrkvbdu4	19	25	multiple	multiple	ADJ
cord-189434-nrkvbdu4	19	26	infectious	infectious	ADJ
cord-189434-nrkvbdu4	19	27	virus	virus	NOUN
cord-189434-nrkvbdu4	19	28	strains	strain	VERB
cord-189434-nrkvbdu4	19	29	within	within	ADP
cord-189434-nrkvbdu4	19	30	the	the	DET
cord-189434-nrkvbdu4	19	31	population	population	NOUN
cord-189434-nrkvbdu4	19	32	and	and	CCONJ
cord-189434-nrkvbdu4	19	33	its	its	PRON
cord-189434-nrkvbdu4	19	34	potentially	potentially	ADV
cord-189434-nrkvbdu4	19	35	multiple	multiple	ADJ
cord-189434-nrkvbdu4	19	36	subgroups	subgroup	NOUN
cord-189434-nrkvbdu4	19	37	(	(	PUNCT
cord-189434-nrkvbdu4	19	38	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	19	39	age	age	NOUN
cord-189434-nrkvbdu4	19	40	groups	group	NOUN
cord-189434-nrkvbdu4	19	41	)	)	PUNCT
cord-189434-nrkvbdu4	19	42	.	.	PUNCT
cord-189434-nrkvbdu4	20	1	spatial	spatial	ADJ
cord-189434-nrkvbdu4	20	2	network	network	NOUN
cord-189434-nrkvbdu4	20	3	models	model	NOUN
cord-189434-nrkvbdu4	20	4	,	,	PUNCT
cord-189434-nrkvbdu4	20	5	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	20	6	[	[	PUNCT
cord-189434-nrkvbdu4	20	7	1	1	NUM
cord-189434-nrkvbdu4	20	8	,	,	PUNCT
cord-189434-nrkvbdu4	20	9	2	2	NUM
cord-189434-nrkvbdu4	20	10	,	,	PUNCT
cord-189434-nrkvbdu4	20	11	20	20	NUM
cord-189434-nrkvbdu4	20	12	]	]	PUNCT
cord-189434-nrkvbdu4	20	13	,	,	PUNCT
cord-189434-nrkvbdu4	20	14	for	for	ADP
cord-189434-nrkvbdu4	20	15	example	example	NOUN
cord-189434-nrkvbdu4	20	16	based	base	VERB
cord-189434-nrkvbdu4	20	17	on	on	ADP
cord-189434-nrkvbdu4	20	18	the	the	DET
cord-189434-nrkvbdu4	20	19	seir	seir	NOUN
cord-189434-nrkvbdu4	20	20	model	model	NOUN
cord-189434-nrkvbdu4	20	21	at	at	ADP
cord-189434-nrkvbdu4	20	22	each	each	DET
cord-189434-nrkvbdu4	20	23	network	network	NOUN
cord-189434-nrkvbdu4	20	24	node	node	NOUN
cord-189434-nrkvbdu4	20	25	can	can	AUX
cord-189434-nrkvbdu4	20	26	qualitatively	qualitatively	ADV
cord-189434-nrkvbdu4	20	27	simulate	simulate	VERB
cord-189434-nrkvbdu4	20	28	the	the	DET
cord-189434-nrkvbdu4	20	29	outbreak	outbreak	NOUN
cord-189434-nrkvbdu4	20	30	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	20	31	of	of	ADP
cord-189434-nrkvbdu4	20	32	infectious	infectious	ADJ
cord-189434-nrkvbdu4	20	33	diseases	disease	NOUN
cord-189434-nrkvbdu4	20	34	and	and	CCONJ
cord-189434-nrkvbdu4	20	35	the	the	DET
cord-189434-nrkvbdu4	20	36	impact	impact	NOUN
cord-189434-nrkvbdu4	20	37	of	of	ADP
cord-189434-nrkvbdu4	20	38	travel	travel	NOUN
cord-189434-nrkvbdu4	20	39	restrictions	restriction	NOUN
cord-189434-nrkvbdu4	20	40	in	in	ADP
cord-189434-nrkvbdu4	20	41	geographical	geographical	ADJ
cord-189434-nrkvbdu4	20	42	areas	area	NOUN
cord-189434-nrkvbdu4	20	43	at	at	ADP
cord-189434-nrkvbdu4	20	44	the	the	DET
cord-189434-nrkvbdu4	20	45	global	global	ADJ
cord-189434-nrkvbdu4	20	46	(	(	PUNCT
cord-189434-nrkvbdu4	20	47	macro	macro	NOUN
cord-189434-nrkvbdu4	20	48	)	)	PUNCT
cord-189434-nrkvbdu4	20	49	scale	scale	NOUN
cord-189434-nrkvbdu4	20	50	such	such	ADJ
cord-189434-nrkvbdu4	20	51	as	as	ADP
cord-189434-nrkvbdu4	20	52	china	china	PROPN
cord-189434-nrkvbdu4	20	53	and	and	CCONJ
cord-189434-nrkvbdu4	20	54	the	the	DET
cord-189434-nrkvbdu4	20	55	usa	usa	PROPN
cord-189434-nrkvbdu4	20	56	[	[	PUNCT
cord-189434-nrkvbdu4	20	57	21	21	NUM
cord-189434-nrkvbdu4	20	58	]	]	PUNCT
cord-189434-nrkvbdu4	20	59	or	or	CCONJ
cord-189434-nrkvbdu4	20	60	europe	europe	PROPN
cord-189434-nrkvbdu4	21	1	[	[	PUNCT
cord-189434-nrkvbdu4	21	2	16	16	NUM
cord-189434-nrkvbdu4	21	3	]	]	PUNCT
cord-189434-nrkvbdu4	21	4	.	.	PUNCT
cord-189434-nrkvbdu4	22	1	however	however	ADV
cord-189434-nrkvbdu4	22	2	,	,	PUNCT
cord-189434-nrkvbdu4	22	3	due	due	ADP
cord-189434-nrkvbdu4	22	4	to	to	ADP
cord-189434-nrkvbdu4	22	5	its	its	PRON
cord-189434-nrkvbdu4	22	6	stochastic	stochastic	ADJ
cord-189434-nrkvbdu4	22	7	nature	nature	NOUN
cord-189434-nrkvbdu4	22	8	and	and	CCONJ
cord-189434-nrkvbdu4	22	9	strong	strong	ADJ
cord-189434-nrkvbdu4	22	10	impact	impact	NOUN
cord-189434-nrkvbdu4	22	11	of	of	ADP
cord-189434-nrkvbdu4	22	12	socio	socio	ADJ
cord-189434-nrkvbdu4	22	13	-	-	ADJ
cord-189434-nrkvbdu4	22	14	economic	economic	ADJ
cord-189434-nrkvbdu4	22	15	factors	factor	NOUN
cord-189434-nrkvbdu4	22	16	,	,	PUNCT
cord-189434-nrkvbdu4	22	17	modelling	model	VERB
cord-189434-nrkvbdu4	22	18	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	22	19	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	22	20	within	within	ADP
cord-189434-nrkvbdu4	22	21	geographical	geographical	ADJ
cord-189434-nrkvbdu4	22	22	areas	area	NOUN
cord-189434-nrkvbdu4	22	23	at	at	ADP
cord-189434-nrkvbdu4	22	24	the	the	DET
cord-189434-nrkvbdu4	22	25	local	local	ADJ
cord-189434-nrkvbdu4	22	26	(	(	PUNCT
cord-189434-nrkvbdu4	22	27	micro	micro	ADJ
cord-189434-nrkvbdu4	22	28	)	)	PUNCT
cord-189434-nrkvbdu4	22	29	scale	scale	NOUN
cord-189434-nrkvbdu4	22	30	requires	require	VERB
cord-189434-nrkvbdu4	22	31	the	the	DET
cord-189434-nrkvbdu4	22	32	use	use	NOUN
cord-189434-nrkvbdu4	22	33	of	of	ADP
cord-189434-nrkvbdu4	22	34	another	another	DET
cord-189434-nrkvbdu4	22	35	modelling	modelling	NOUN
cord-189434-nrkvbdu4	22	36	paradigm	paradigm	NOUN
cord-189434-nrkvbdu4	22	37	,	,	PUNCT
cord-189434-nrkvbdu4	22	38	i.e.	i.e.	X
cord-189434-nrkvbdu4	22	39	rule	rule	NOUN
cord-189434-nrkvbdu4	22	40	-	-	PUNCT
cord-189434-nrkvbdu4	22	41	driven	drive	VERB
cord-189434-nrkvbdu4	22	42	,	,	PUNCT
cord-189434-nrkvbdu4	22	43	agent	agent	NOUN
cord-189434-nrkvbdu4	22	44	-	-	PUNCT
cord-189434-nrkvbdu4	22	45	based	base	VERB
cord-189434-nrkvbdu4	22	46	models	model	NOUN
cord-189434-nrkvbdu4	22	47	[	[	PUNCT
cord-189434-nrkvbdu4	22	48	24	24	NUM
cord-189434-nrkvbdu4	22	49	]	]	PUNCT
cord-189434-nrkvbdu4	22	50	.	.	PUNCT
cord-189434-nrkvbdu4	23	1	agent	agent	NOUN
cord-189434-nrkvbdu4	23	2	-	-	PUNCT
cord-189434-nrkvbdu4	23	3	based	base	VERB
cord-189434-nrkvbdu4	23	4	models	model	NOUN
cord-189434-nrkvbdu4	23	5	allow	allow	VERB
cord-189434-nrkvbdu4	23	6	for	for	ADP
cord-189434-nrkvbdu4	23	7	example	example	NOUN
cord-189434-nrkvbdu4	23	8	studying	study	VERB
cord-189434-nrkvbdu4	23	9	the	the	DET
cord-189434-nrkvbdu4	23	10	effect	effect	NOUN
cord-189434-nrkvbdu4	23	11	of	of	ADP
cord-189434-nrkvbdu4	23	12	various	various	ADJ
cord-189434-nrkvbdu4	23	13	lockdown	lockdown	NOUN
cord-189434-nrkvbdu4	23	14	exit	exit	NOUN
cord-189434-nrkvbdu4	23	15	strategies	strategy	NOUN
cord-189434-nrkvbdu4	23	16	on	on	ADP
cord-189434-nrkvbdu4	23	17	local	local	ADJ
cord-189434-nrkvbdu4	23	18	geographical	geographical	ADJ
cord-189434-nrkvbdu4	23	19	entities	entity	NOUN
cord-189434-nrkvbdu4	23	20	with	with	ADP
cord-189434-nrkvbdu4	23	21	only	only	ADV
cord-189434-nrkvbdu4	23	22	a	a	DET
cord-189434-nrkvbdu4	23	23	comparatively	comparatively	ADV
cord-189434-nrkvbdu4	23	24	small	small	ADJ
cord-189434-nrkvbdu4	23	25	number	number	NOUN
cord-189434-nrkvbdu4	23	26	of	of	ADP
cord-189434-nrkvbdu4	23	27	individuals	individual	NOUN
cord-189434-nrkvbdu4	23	28	(	(	PUNCT
cord-189434-nrkvbdu4	23	29	agents	agent	NOUN
cord-189434-nrkvbdu4	23	30	)	)	PUNCT
cord-189434-nrkvbdu4	23	31	,	,	PUNCT
cord-189434-nrkvbdu4	23	32	see	see	VERB
cord-189434-nrkvbdu4	23	33	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	23	34	[	[	X
cord-189434-nrkvbdu4	23	35	7	7	NUM
cord-189434-nrkvbdu4	23	36	]	]	PUNCT
cord-189434-nrkvbdu4	23	37	.	.	PUNCT
cord-189434-nrkvbdu4	24	1	regardless	regardless	ADV
cord-189434-nrkvbdu4	24	2	of	of	ADP
cord-189434-nrkvbdu4	24	3	the	the	DET
cord-189434-nrkvbdu4	24	4	modelling	modelling	NOUN
cord-189434-nrkvbdu4	24	5	approach	approach	NOUN
cord-189434-nrkvbdu4	24	6	taken	take	VERB
cord-189434-nrkvbdu4	24	7	,	,	PUNCT
cord-189434-nrkvbdu4	24	8	quantitative	quantitative	ADJ
cord-189434-nrkvbdu4	24	9	predictions	prediction	NOUN
cord-189434-nrkvbdu4	24	10	of	of	ADP
cord-189434-nrkvbdu4	24	11	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	24	12	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	24	13	remain	remain	VERB
cord-189434-nrkvbdu4	24	14	challenging	challenging	ADJ
cord-189434-nrkvbdu4	24	15	and	and	CCONJ
cord-189434-nrkvbdu4	24	16	critically	critically	ADV
cord-189434-nrkvbdu4	24	17	require	require	VERB
cord-189434-nrkvbdu4	24	18	careful	careful	ADJ
cord-189434-nrkvbdu4	24	19	identification	identification	NOUN
cord-189434-nrkvbdu4	24	20	of	of	ADP
cord-189434-nrkvbdu4	24	21	model	model	NOUN
cord-189434-nrkvbdu4	24	22	parameters	parameter	NOUN
cord-189434-nrkvbdu4	24	23	from	from	ADP
cord-189434-nrkvbdu4	24	24	reliable	reliable	ADJ
cord-189434-nrkvbdu4	24	25	databases	database	NOUN
cord-189434-nrkvbdu4	24	26	,	,	PUNCT
cord-189434-nrkvbdu4	24	27	see	see	VERB
cord-189434-nrkvbdu4	24	28	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	24	29	[	[	X
cord-189434-nrkvbdu4	24	30	12	12	NUM
cord-189434-nrkvbdu4	24	31	]	]	PUNCT
cord-189434-nrkvbdu4	24	32	.	.	PUNCT
cord-189434-nrkvbdu4	25	1	given	give	VERB
cord-189434-nrkvbdu4	25	2	this	this	DET
cord-189434-nrkvbdu4	25	3	mature	mature	ADJ
cord-189434-nrkvbdu4	25	4	state	state	NOUN
cord-189434-nrkvbdu4	25	5	of	of	ADP
cord-189434-nrkvbdu4	25	6	affairs	affair	NOUN
cord-189434-nrkvbdu4	25	7	,	,	PUNCT
cord-189434-nrkvbdu4	25	8	why	why	SCONJ
cord-189434-nrkvbdu4	25	9	is	be	AUX
cord-189434-nrkvbdu4	25	10	a	a	DET
cord-189434-nrkvbdu4	25	11	novel	novel	NOUN
cord-189434-nrkvbdu4	25	12	,	,	PUNCT
cord-189434-nrkvbdu4	25	13	alternative	alternative	ADJ
cord-189434-nrkvbdu4	25	14	view	view	NOUN
cord-189434-nrkvbdu4	25	15	on	on	ADP
cord-189434-nrkvbdu4	25	16	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	25	17	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	25	18	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	25	19	modelling	modelling	NOUN
cord-189434-nrkvbdu4	25	20	justified	justify	VERB
cord-189434-nrkvbdu4	25	21	at	at	ADV
cord-189434-nrkvbdu4	25	22	all	all	ADV
cord-189434-nrkvbdu4	25	23	?	?	PUNCT
cord-189434-nrkvbdu4	26	1	the	the	DET
cord-189434-nrkvbdu4	26	2	answer	answer	NOUN
cord-189434-nrkvbdu4	26	3	is	be	AUX
cord-189434-nrkvbdu4	26	4	as	as	SCONJ
cord-189434-nrkvbdu4	26	5	follows	follow	VERB
cord-189434-nrkvbdu4	26	6	:	:	PUNCT
cord-189434-nrkvbdu4	26	7	to	to	ADP
cord-189434-nrkvbdu4	26	8	date	date	NOUN
cord-189434-nrkvbdu4	26	9	,	,	PUNCT
cord-189434-nrkvbdu4	26	10	modelers	modeler	NOUN
cord-189434-nrkvbdu4	26	11	of	of	ADP
cord-189434-nrkvbdu4	26	12	complex	complex	ADJ
cord-189434-nrkvbdu4	26	13	mechanical	mechanical	ADJ
cord-189434-nrkvbdu4	26	14	systems	system	NOUN
cord-189434-nrkvbdu4	26	15	and	and	CCONJ
cord-189434-nrkvbdu4	26	16	behavior	behavior	NOUN
cord-189434-nrkvbdu4	26	17	have	have	AUX
cord-189434-nrkvbdu4	26	18	developed	develop	VERB
cord-189434-nrkvbdu4	26	19	a	a	DET
cord-189434-nrkvbdu4	26	20	versatile	versatile	ADJ
cord-189434-nrkvbdu4	26	21	and	and	CCONJ
cord-189434-nrkvbdu4	26	22	extremely	extremely	ADV
cord-189434-nrkvbdu4	26	23	successful	successful	ADJ
cord-189434-nrkvbdu4	26	24	tool	tool	NOUN
cord-189434-nrkvbdu4	26	25	-	-	PUNCT
cord-189434-nrkvbdu4	26	26	set	set	NOUN
cord-189434-nrkvbdu4	26	27	,	,	PUNCT
cord-189434-nrkvbdu4	26	28	including	include	VERB
cord-189434-nrkvbdu4	26	29	sophisticated	sophisticated	ADJ
cord-189434-nrkvbdu4	26	30	analytical	analytical	NOUN
cord-189434-nrkvbdu4	26	31	and	and	CCONJ
cord-189434-nrkvbdu4	26	32	in	in	ADP
cord-189434-nrkvbdu4	26	33	particular	particular	ADJ
cord-189434-nrkvbdu4	26	34	efficient	efficient	ADJ
cord-189434-nrkvbdu4	26	35	and	and	CCONJ
cord-189434-nrkvbdu4	26	36	accurate	accurate	ADJ
cord-189434-nrkvbdu4	26	37	computational	computational	ADJ
cord-189434-nrkvbdu4	26	38	methods	method	NOUN
cord-189434-nrkvbdu4	26	39	.	.	PUNCT
cord-189434-nrkvbdu4	27	1	examples	example	NOUN
cord-189434-nrkvbdu4	27	2	are	be	AUX
cord-189434-nrkvbdu4	27	3	techniques	technique	NOUN
cord-189434-nrkvbdu4	27	4	to	to	PART
cord-189434-nrkvbdu4	27	5	master	master	VERB
cord-189434-nrkvbdu4	27	6	severe	severe	ADJ
cord-189434-nrkvbdu4	27	7	non	non	NOUN
cord-189434-nrkvbdu4	27	8	-	-	NOUN
cord-189434-nrkvbdu4	27	9	linearities	linearity	NOUN
cord-189434-nrkvbdu4	27	10	and	and	CCONJ
cord-189434-nrkvbdu4	27	11	couplings	coupling	NOUN
cord-189434-nrkvbdu4	27	12	with	with	ADP
cord-189434-nrkvbdu4	27	13	non	non	ADJ
cord-189434-nrkvbdu4	27	14	-	-	ADJ
cord-189434-nrkvbdu4	27	15	mechanical	mechanical	ADJ
cord-189434-nrkvbdu4	27	16	fields	field	NOUN
cord-189434-nrkvbdu4	27	17	,	,	PUNCT
cord-189434-nrkvbdu4	27	18	a	a	DET
cord-189434-nrkvbdu4	27	19	multitude	multitude	NOUN
cord-189434-nrkvbdu4	27	20	of	of	ADP
cord-189434-nrkvbdu4	27	21	multi	multi	ADJ
cord-189434-nrkvbdu4	27	22	-	-	ADJ
cord-189434-nrkvbdu4	27	23	scale	scale	ADJ
cord-189434-nrkvbdu4	27	24	and	and	CCONJ
cord-189434-nrkvbdu4	27	25	homogenization	homogenization	NOUN
cord-189434-nrkvbdu4	27	26	modelling	modelling	NOUN
cord-189434-nrkvbdu4	27	27	approaches	approach	VERB
cord-189434-nrkvbdu4	27	28	as	as	ADV
cord-189434-nrkvbdu4	27	29	well	well	ADV
cord-189434-nrkvbdu4	27	30	as	as	ADP
cord-189434-nrkvbdu4	27	31	incorporating	incorporate	VERB
cord-189434-nrkvbdu4	27	32	uncertainty	uncertainty	NOUN
cord-189434-nrkvbdu4	27	33	quantification	quantification	NOUN
cord-189434-nrkvbdu4	27	34	into	into	ADP
cord-189434-nrkvbdu4	27	35	modelling	modelling	NOUN
cord-189434-nrkvbdu4	27	36	and	and	CCONJ
cord-189434-nrkvbdu4	27	37	simulation	simulation	NOUN
cord-189434-nrkvbdu4	27	38	.	.	PUNCT
cord-189434-nrkvbdu4	28	1	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	28	2	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	28	3	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	28	4	modelling	modelling	NOUN
cord-189434-nrkvbdu4	28	5	can	can	AUX
cord-189434-nrkvbdu4	28	6	undoubtedly	undoubtedly	ADV
cord-189434-nrkvbdu4	28	7	benefit	benefit	VERB
cord-189434-nrkvbdu4	28	8	largely	largely	ADV
cord-189434-nrkvbdu4	28	9	from	from	ADP
cord-189434-nrkvbdu4	28	10	this	this	DET
cord-189434-nrkvbdu4	28	11	accumulated	accumulate	VERB
cord-189434-nrkvbdu4	28	12	expertise	expertise	NOUN
cord-189434-nrkvbdu4	28	13	!	!	PUNCT
cord-189434-nrkvbdu4	29	1	in	in	ADP
cord-189434-nrkvbdu4	29	2	summary	summary	NOUN
cord-189434-nrkvbdu4	29	3	,	,	PUNCT
cord-189434-nrkvbdu4	29	4	it	it	PRON
cord-189434-nrkvbdu4	29	5	is	be	AUX
cord-189434-nrkvbdu4	29	6	therefore	therefore	ADV
cord-189434-nrkvbdu4	29	7	believed	believe	VERB
cord-189434-nrkvbdu4	29	8	that	that	SCONJ
cord-189434-nrkvbdu4	29	9	first	first	ADV
cord-189434-nrkvbdu4	29	10	translating	translate	VERB
cord-189434-nrkvbdu4	29	11	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	29	12	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	29	13	models	model	NOUN
cord-189434-nrkvbdu4	29	14	into	into	ADP
cord-189434-nrkvbdu4	29	15	an	an	DET
cord-189434-nrkvbdu4	29	16	analytical	analytical	ADJ
cord-189434-nrkvbdu4	29	17	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	29	18	setting	set	VERB
cord-189434-nrkvbdu4	29	19	(	(	PUNCT
cord-189434-nrkvbdu4	29	20	related	relate	VERB
cord-189434-nrkvbdu4	29	21	steps	step	NOUN
cord-189434-nrkvbdu4	29	22	towards	towards	ADP
cord-189434-nrkvbdu4	29	23	this	this	DET
cord-189434-nrkvbdu4	29	24	aim	aim	NOUN
cord-189434-nrkvbdu4	29	25	may	may	AUX
cord-189434-nrkvbdu4	29	26	be	be	AUX
cord-189434-nrkvbdu4	29	27	found	find	VERB
cord-189434-nrkvbdu4	29	28	,	,	PUNCT
cord-189434-nrkvbdu4	29	29	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	29	30	,	,	PUNCT
cord-189434-nrkvbdu4	29	31	in	in	ADP
cord-189434-nrkvbdu4	29	32	[	[	X
cord-189434-nrkvbdu4	29	33	18	18	NUM
cord-189434-nrkvbdu4	29	34	,	,	PUNCT
cord-189434-nrkvbdu4	29	35	9	9	NUM
cord-189434-nrkvbdu4	29	36	,	,	PUNCT
cord-189434-nrkvbdu4	29	37	26	26	NUM
cord-189434-nrkvbdu4	29	38	]	]	PUNCT
cord-189434-nrkvbdu4	29	39	)	)	PUNCT
cord-189434-nrkvbdu4	29	40	and	and	CCONJ
cord-189434-nrkvbdu4	29	41	then	then	ADV
cord-189434-nrkvbdu4	29	42	,	,	PUNCT
cord-189434-nrkvbdu4	29	43	secondly	secondly	ADV
cord-189434-nrkvbdu4	29	44	,	,	PUNCT
cord-189434-nrkvbdu4	29	45	exploiting	exploit	VERB
cord-189434-nrkvbdu4	29	46	the	the	DET
cord-189434-nrkvbdu4	29	47	analogy	analogy	NOUN
cord-189434-nrkvbdu4	29	48	between	between	ADP
cord-189434-nrkvbdu4	29	49	the	the	DET
cord-189434-nrkvbdu4	29	50	two	two	NUM
cord-189434-nrkvbdu4	29	51	approaches	approach	NOUN
cord-189434-nrkvbdu4	29	52	while	while	SCONJ
cord-189434-nrkvbdu4	29	53	utilizing	utilize	VERB
cord-189434-nrkvbdu4	29	54	the	the	DET
cord-189434-nrkvbdu4	29	55	full	full	ADJ
cord-189434-nrkvbdu4	29	56	tool	tool	NOUN
cord-189434-nrkvbdu4	29	57	-	-	PUNCT
cord-189434-nrkvbdu4	29	58	set	set	NOUN
cord-189434-nrkvbdu4	29	59	of	of	ADP
cord-189434-nrkvbdu4	29	60	mechanical	mechanical	ADJ
cord-189434-nrkvbdu4	29	61	modelling	modelling	NOUN
cord-189434-nrkvbdu4	29	62	,	,	PUNCT
cord-189434-nrkvbdu4	29	63	can	can	AUX
cord-189434-nrkvbdu4	29	64	provide	provide	VERB
cord-189434-nrkvbdu4	29	65	novel	novel	ADJ
cord-189434-nrkvbdu4	29	66	vistas	vista	NOUN
cord-189434-nrkvbdu4	29	67	and	and	CCONJ
cord-189434-nrkvbdu4	29	68	unprecedented	unprecedented	ADJ
cord-189434-nrkvbdu4	29	69	opportunities	opportunity	NOUN
cord-189434-nrkvbdu4	29	70	.	.	PUNCT
cord-189434-nrkvbdu4	30	1	the	the	DET
cord-189434-nrkvbdu4	30	2	present	present	ADJ
cord-189434-nrkvbdu4	30	3	contribution	contribution	NOUN
cord-189434-nrkvbdu4	30	4	aims	aim	VERB
cord-189434-nrkvbdu4	30	5	to	to	PART
cord-189434-nrkvbdu4	30	6	sketch	sketch	VERB
cord-189434-nrkvbdu4	30	7	out	out	ADP
cord-189434-nrkvbdu4	30	8	a	a	DET
cord-189434-nrkvbdu4	30	9	few	few	ADJ
cord-189434-nrkvbdu4	30	10	of	of	ADP
cord-189434-nrkvbdu4	30	11	these	these	DET
cord-189434-nrkvbdu4	30	12	perspectives	perspective	NOUN
cord-189434-nrkvbdu4	30	13	and	and	CCONJ
cord-189434-nrkvbdu4	30	14	to	to	PART
cord-189434-nrkvbdu4	30	15	encourage	encourage	VERB
cord-189434-nrkvbdu4	30	16	the	the	DET
cord-189434-nrkvbdu4	30	17	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	30	18	community	community	NOUN
cord-189434-nrkvbdu4	30	19	to	to	PART
cord-189434-nrkvbdu4	30	20	offer	offer	VERB
cord-189434-nrkvbdu4	30	21	its	its	PRON
cord-189434-nrkvbdu4	30	22	strong	strong	ADJ
cord-189434-nrkvbdu4	30	23	modelling	modelling	NOUN
cord-189434-nrkvbdu4	30	24	expertise	expertise	NOUN
cord-189434-nrkvbdu4	30	25	to	to	PART
cord-189434-nrkvbdu4	30	26	possibly	possibly	ADV
cord-189434-nrkvbdu4	30	27	and	and	CCONJ
cord-189434-nrkvbdu4	30	28	hopefully	hopefully	ADV
cord-189434-nrkvbdu4	30	29	help	help	VERB
cord-189434-nrkvbdu4	30	30	further	far	ADV
cord-189434-nrkvbdu4	30	31	improve	improve	VERB
cord-189434-nrkvbdu4	30	32	epidemic	epidemic	ADJ
cord-189434-nrkvbdu4	30	33	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	30	34	modelling	modelling	NOUN
cord-189434-nrkvbdu4	30	35	.	.	PUNCT
cord-189434-nrkvbdu4	31	1	classical	classical	ADJ
cord-189434-nrkvbdu4	31	2	modelling	modelling	NOUN
cord-189434-nrkvbdu4	31	3	of	of	ADP
cord-189434-nrkvbdu4	31	4	epidemics	epidemic	NOUN
cord-189434-nrkvbdu4	31	5	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	31	6	roots	root	NOUN
cord-189434-nrkvbdu4	31	7	in	in	ADP
cord-189434-nrkvbdu4	31	8	the	the	DET
cord-189434-nrkvbdu4	31	9	concept	concept	NOUN
cord-189434-nrkvbdu4	31	10	of	of	ADP
cord-189434-nrkvbdu4	31	11	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	31	12	,	,	PUNCT
cord-189434-nrkvbdu4	31	13	infected	infect	VERB
cord-189434-nrkvbdu4	31	14	and	and	CCONJ
cord-189434-nrkvbdu4	31	15	recovered	recover	VERB
cord-189434-nrkvbdu4	31	16	(	(	PUNCT
cord-189434-nrkvbdu4	31	17	sir	sir	PROPN
cord-189434-nrkvbdu4	31	18	)	)	PUNCT
cord-189434-nrkvbdu4	31	19	compartments	compartment	NOUN
cord-189434-nrkvbdu4	31	20	as	as	ADV
cord-189434-nrkvbdu4	31	21	originally	originally	ADV
cord-189434-nrkvbdu4	31	22	proposed	propose	VERB
cord-189434-nrkvbdu4	31	23	in	in	ADP
cord-189434-nrkvbdu4	31	24	[	[	SYM
cord-189434-nrkvbdu4	31	25	13	13	NUM
cord-189434-nrkvbdu4	31	26	]	]	PUNCT
cord-189434-nrkvbdu4	31	27	.	.	PUNCT
cord-189434-nrkvbdu4	32	1	the	the	DET
cord-189434-nrkvbdu4	32	2	basic	basic	ADJ
cord-189434-nrkvbdu4	32	3	compartment	compartment	NOUN
cord-189434-nrkvbdu4	32	4	-	-	PUNCT
cord-189434-nrkvbdu4	32	5	based	base	VERB
cord-189434-nrkvbdu4	32	6	sir	sir	NOUN
cord-189434-nrkvbdu4	32	7	model	model	NOUN
cord-189434-nrkvbdu4	32	8	is	be	AUX
cord-189434-nrkvbdu4	32	9	the	the	DET
cord-189434-nrkvbdu4	32	10	following	follow	VERB
cord-189434-nrkvbdu4	32	11	set	set	NOUN
cord-189434-nrkvbdu4	32	12	of	of	ADP
cord-189434-nrkvbdu4	32	13	two	two	NUM
cord-189434-nrkvbdu4	32	14	coupled	couple	VERB
cord-189434-nrkvbdu4	32	15	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	32	16	differential	differential	ADJ
cord-189434-nrkvbdu4	32	17	equations	equation	NOUN
cord-189434-nrkvbdu4	32	18	(	(	PUNCT
cord-189434-nrkvbdu4	32	19	odes	ode	NOUN
cord-189434-nrkvbdu4	32	20	)	)	PUNCT
cord-189434-nrkvbdu4	32	21	here	here	ADV
cord-189434-nrkvbdu4	32	22	,	,	PUNCT
cord-189434-nrkvbdu4	32	23	i	i	PRON
cord-189434-nrkvbdu4	32	24	and	and	CCONJ
cord-189434-nrkvbdu4	32	25	s	s	PROPN
cord-189434-nrkvbdu4	32	26	denote	denote	NOUN
cord-189434-nrkvbdu4	32	27	the	the	DET
cord-189434-nrkvbdu4	32	28	stock	stock	NOUN
cord-189434-nrkvbdu4	32	29	of	of	ADP
cord-189434-nrkvbdu4	32	30	individuals	individual	NOUN
cord-189434-nrkvbdu4	32	31	in	in	ADP
cord-189434-nrkvbdu4	32	32	the	the	DET
cord-189434-nrkvbdu4	32	33	infected	infected	ADJ
cord-189434-nrkvbdu4	32	34	and	and	CCONJ
cord-189434-nrkvbdu4	32	35	the	the	DET
cord-189434-nrkvbdu4	32	36	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	32	37	compartments	compartment	NOUN
cord-189434-nrkvbdu4	32	38	,	,	PUNCT
cord-189434-nrkvbdu4	32	39	respectively	respectively	ADV
cord-189434-nrkvbdu4	32	40	,	,	PUNCT
cord-189434-nrkvbdu4	32	41	normalized	normalize	VERB
cord-189434-nrkvbdu4	32	42	by	by	ADP
cord-189434-nrkvbdu4	32	43	the	the	DET
cord-189434-nrkvbdu4	32	44	size	size	NOUN
cord-189434-nrkvbdu4	32	45	of	of	ADP
cord-189434-nrkvbdu4	32	46	the	the	DET
cord-189434-nrkvbdu4	32	47	entire	entire	ADJ
cord-189434-nrkvbdu4	32	48	population	population	NOUN
cord-189434-nrkvbdu4	32	49	.	.	PUNCT
cord-189434-nrkvbdu4	33	1	the	the	DET
cord-189434-nrkvbdu4	33	2	notation	notation	NOUN
cord-189434-nrkvbdu4	33	3	for	for	ADP
cord-189434-nrkvbdu4	33	4	the	the	DET
cord-189434-nrkvbdu4	33	5	derivative	derivative	NOUN
cord-189434-nrkvbdu4	33	6	of	of	ADP
cord-189434-nrkvbdu4	33	7	a	a	DET
cord-189434-nrkvbdu4	33	8	quantity	quantity	NOUN
cord-189434-nrkvbdu4	33	9	with	with	ADP
cord-189434-nrkvbdu4	33	10	respect	respect	NOUN
cord-189434-nrkvbdu4	33	11	to	to	ADP
cord-189434-nrkvbdu4	33	12	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	33	13	time	time	NOUN
cord-189434-nrkvbdu4	33	14	t	t	PROPN
cord-189434-nrkvbdu4	33	15	is	be	AUX
cord-189434-nrkvbdu4	33	16	the	the	DET
cord-189434-nrkvbdu4	33	17	parameters	parameter	NOUN
cord-189434-nrkvbdu4	33	18	β	β	NOUN
cord-189434-nrkvbdu4	33	19	and	and	CCONJ
cord-189434-nrkvbdu4	33	20	γ	γ	NOUN
cord-189434-nrkvbdu4	33	21	are	be	AUX
cord-189434-nrkvbdu4	33	22	the	the	DET
cord-189434-nrkvbdu4	33	23	infection	infection	NOUN
cord-189434-nrkvbdu4	33	24	and	and	CCONJ
cord-189434-nrkvbdu4	33	25	the	the	DET
cord-189434-nrkvbdu4	33	26	recovery	recovery	NOUN
cord-189434-nrkvbdu4	33	27	rate	rate	NOUN
cord-189434-nrkvbdu4	33	28	,	,	PUNCT
cord-189434-nrkvbdu4	33	29	respectively	respectively	ADV
cord-189434-nrkvbdu4	33	30	,	,	PUNCT
cord-189434-nrkvbdu4	33	31	with	with	ADP
cord-189434-nrkvbdu4	33	32	their	their	PRON
cord-189434-nrkvbdu4	33	33	ratio	ratio	NOUN
cord-189434-nrkvbdu4	33	34	defining	define	VERB
cord-189434-nrkvbdu4	33	35	the	the	DET
cord-189434-nrkvbdu4	33	36	basic	basic	ADJ
cord-189434-nrkvbdu4	33	37	reproduction	reproduction	NOUN
cord-189434-nrkvbdu4	33	38	number	number	NOUN
cord-189434-nrkvbdu4	33	39	r	r	NOUN
cord-189434-nrkvbdu4	33	40	0	0	NUM
cord-189434-nrkvbdu4	33	41	:	:	PUNCT
cord-189434-nrkvbdu4	33	42	=	=	NOUN
cord-189434-nrkvbdu4	33	43	β	β	NOUN
cord-189434-nrkvbdu4	33	44	/	/	SYM
cord-189434-nrkvbdu4	33	45	γ	γ	SYM
cord-189434-nrkvbdu4	33	46	.	.	PROPN
cord-189434-nrkvbdu4	33	47	note	note	VERB
cord-189434-nrkvbdu4	33	48	finally	finally	ADV
cord-189434-nrkvbdu4	33	49	that	that	SCONJ
cord-189434-nrkvbdu4	33	50	the	the	DET
cord-189434-nrkvbdu4	33	51	stock	stock	NOUN
cord-189434-nrkvbdu4	33	52	of	of	ADP
cord-189434-nrkvbdu4	33	53	individuals	individual	NOUN
cord-189434-nrkvbdu4	33	54	in	in	ADP
cord-189434-nrkvbdu4	33	55	the	the	DET
cord-189434-nrkvbdu4	33	56	recovered	recover	VERB
cord-189434-nrkvbdu4	33	57	compartment	compartment	NOUN
cord-189434-nrkvbdu4	33	58	follows	follow	VERB
cord-189434-nrkvbdu4	33	59	from	from	ADP
cord-189434-nrkvbdu4	33	60	the	the	DET
cord-189434-nrkvbdu4	33	61	constraint	constraint	NOUN
cord-189434-nrkvbdu4	33	62	s	s	PROPN
cord-189434-nrkvbdu4	34	1	+	+	CCONJ
cord-189434-nrkvbdu4	34	2	i	i	PRON
cord-189434-nrkvbdu4	34	3	+	+	CCONJ
cord-189434-nrkvbdu4	35	1	r	r	NOUN
cord-189434-nrkvbdu4	35	2	=	=	SYM
cord-189434-nrkvbdu4	35	3	1	1	NUM
cord-189434-nrkvbdu4	35	4	,	,	PUNCT
cord-189434-nrkvbdu4	35	5	thus	thus	ADV
cord-189434-nrkvbdu4	35	6	the	the	DET
cord-189434-nrkvbdu4	35	7	evolution	evolution	NOUN
cord-189434-nrkvbdu4	35	8	equation	equation	NOUN
cord-189434-nrkvbdu4	35	9	is	be	AUX
cord-189434-nrkvbdu4	35	10	tacitly	tacitly	ADV
cord-189434-nrkvbdu4	35	11	suppressed	suppress	VERB
cord-189434-nrkvbdu4	35	12	in	in	ADP
cord-189434-nrkvbdu4	35	13	our	our	PRON
cord-189434-nrkvbdu4	35	14	presentation	presentation	NOUN
cord-189434-nrkvbdu4	35	15	.	.	PUNCT
cord-189434-nrkvbdu4	36	1	in	in	ADP
cord-189434-nrkvbdu4	36	2	order	order	NOUN
cord-189434-nrkvbdu4	36	3	to	to	PART
cord-189434-nrkvbdu4	36	4	recast	recast	VERB
cord-189434-nrkvbdu4	36	5	the	the	DET
cord-189434-nrkvbdu4	36	6	basic	basic	ADJ
cord-189434-nrkvbdu4	36	7	sir	sir	NOUN
cord-189434-nrkvbdu4	36	8	model	model	NOUN
cord-189434-nrkvbdu4	36	9	into	into	ADP
cord-189434-nrkvbdu4	36	10	a	a	DET
cord-189434-nrkvbdu4	36	11	format	format	NOUN
cord-189434-nrkvbdu4	36	12	more	more	ADV
cord-189434-nrkvbdu4	36	13	amenable	amenable	ADJ
cord-189434-nrkvbdu4	36	14	to	to	ADP
cord-189434-nrkvbdu4	36	15	the	the	DET
cord-189434-nrkvbdu4	36	16	analytical	analytical	ADJ
cord-189434-nrkvbdu4	36	17	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	36	18	setting	setting	NOUN
cord-189434-nrkvbdu4	36	19	,	,	PUNCT
cord-189434-nrkvbdu4	36	20	it	it	PRON
cord-189434-nrkvbdu4	36	21	is	be	AUX
cord-189434-nrkvbdu4	36	22	proposed	propose	VERB
cord-189434-nrkvbdu4	36	23	,	,	PUNCT
cord-189434-nrkvbdu4	36	24	as	as	ADP
cord-189434-nrkvbdu4	36	25	a	a	DET
cord-189434-nrkvbdu4	36	26	first	first	ADJ
cord-189434-nrkvbdu4	36	27	option	option	NOUN
cord-189434-nrkvbdu4	36	28	,	,	PUNCT
cord-189434-nrkvbdu4	36	29	to	to	PART
cord-189434-nrkvbdu4	36	30	re	re	VERB
cord-189434-nrkvbdu4	36	31	-	-	VERB
cord-189434-nrkvbdu4	36	32	scale	scale	ADJ
cord-189434-nrkvbdu4	36	33	time	time	NOUN
cord-189434-nrkvbdu4	36	34	as	as	ADP
cord-189434-nrkvbdu4	36	35	the	the	DET
cord-189434-nrkvbdu4	36	36	notation	notation	NOUN
cord-189434-nrkvbdu4	36	37	for	for	ADP
cord-189434-nrkvbdu4	36	38	the	the	DET
cord-189434-nrkvbdu4	36	39	derivative	derivative	NOUN
cord-189434-nrkvbdu4	36	40	of	of	ADP
cord-189434-nrkvbdu4	36	41	a	a	DET
cord-189434-nrkvbdu4	36	42	quantity	quantity	NOUN
cord-189434-nrkvbdu4	36	43	with	with	ADP
cord-189434-nrkvbdu4	36	44	respect	respect	NOUN
cord-189434-nrkvbdu4	36	45	to	to	AUX
cord-189434-nrkvbdu4	36	46	re	re	VERB
cord-189434-nrkvbdu4	36	47	-	-	ADJ
cord-189434-nrkvbdu4	36	48	scaled	scale	VERB
cord-189434-nrkvbdu4	36	49	time	time	NOUN
cord-189434-nrkvbdu4	36	50	τ	τ	NOUN
cord-189434-nrkvbdu4	36	51	is	be	AUX
cord-189434-nrkvbdu4	36	52	consequently	consequently	ADV
cord-189434-nrkvbdu4	36	53	,	,	PUNCT
cord-189434-nrkvbdu4	36	54	the	the	DET
cord-189434-nrkvbdu4	36	55	derivatives	derivative	NOUN
cord-189434-nrkvbdu4	36	56	with	with	ADP
cord-189434-nrkvbdu4	36	57	respect	respect	NOUN
cord-189434-nrkvbdu4	36	58	to	to	AUX
cord-189434-nrkvbdu4	36	59	re	re	VERB
cord-189434-nrkvbdu4	36	60	-	-	VERB
cord-189434-nrkvbdu4	36	61	scaled	scale	VERB
cord-189434-nrkvbdu4	36	62	and	and	CCONJ
cord-189434-nrkvbdu4	36	63	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	36	64	time	time	NOUN
cord-189434-nrkvbdu4	36	65	are	be	AUX
cord-189434-nrkvbdu4	36	66	related	relate	VERB
cord-189434-nrkvbdu4	36	67	via	via	ADP
cord-189434-nrkvbdu4	36	68	as	as	ADP
cord-189434-nrkvbdu4	36	69	a	a	DET
cord-189434-nrkvbdu4	36	70	result	result	NOUN
cord-189434-nrkvbdu4	36	71	,	,	PUNCT
cord-189434-nrkvbdu4	36	72	the	the	DET
cord-189434-nrkvbdu4	36	73	basic	basic	ADJ
cord-189434-nrkvbdu4	36	74	sir	sir	NOUN
cord-189434-nrkvbdu4	36	75	model	model	NOUN
cord-189434-nrkvbdu4	36	76	is	be	AUX
cord-189434-nrkvbdu4	36	77	eventually	eventually	ADV
cord-189434-nrkvbdu4	36	78	re	re	VERB
cord-189434-nrkvbdu4	36	79	-	-	VERB
cord-189434-nrkvbdu4	36	80	parameterized	parameterize	VERB
cord-189434-nrkvbdu4	36	81	in	in	ADP
cord-189434-nrkvbdu4	36	82	terms	term	NOUN
cord-189434-nrkvbdu4	36	83	of	of	ADP
cord-189434-nrkvbdu4	36	84	re	re	VERB
cord-189434-nrkvbdu4	36	85	-	-	ADJ
cord-189434-nrkvbdu4	36	86	scaled	scale	VERB
cord-189434-nrkvbdu4	36	87	time	time	NOUN
cord-189434-nrkvbdu4	36	88	as	as	SCONJ
cord-189434-nrkvbdu4	36	89	in	in	ADP
cord-189434-nrkvbdu4	36	90	the	the	DET
cord-189434-nrkvbdu4	36	91	time	time	NOUN
cord-189434-nrkvbdu4	36	92	re	re	ADJ
cord-189434-nrkvbdu4	36	93	-	-	ADJ
cord-189434-nrkvbdu4	36	94	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	36	95	sir	sir	PROPN
cord-189434-nrkvbdu4	36	96	model	model	NOUN
cord-189434-nrkvbdu4	36	97	the	the	DET
cord-189434-nrkvbdu4	36	98	right	right	ADJ
cord-189434-nrkvbdu4	36	99	-	-	PUNCT
cord-189434-nrkvbdu4	36	100	hand	hand	NOUN
cord-189434-nrkvbdu4	36	101	-	-	PUNCT
cord-189434-nrkvbdu4	36	102	side	side	NOUN
cord-189434-nrkvbdu4	36	103	is	be	AUX
cord-189434-nrkvbdu4	36	104	abbreviated	abbreviate	VERB
cord-189434-nrkvbdu4	36	105	as	as	ADP
cord-189434-nrkvbdu4	36	106	the	the	DET
cord-189434-nrkvbdu4	36	107	forcing	force	VERB
cord-189434-nrkvbdu4	36	108	term	term	NOUN
cord-189434-nrkvbdu4	36	109	f	f	X
cord-189434-nrkvbdu4	36	110	,	,	PUNCT
cord-189434-nrkvbdu4	36	111	i.e.	i.e.	X
cord-189434-nrkvbdu4	36	112	as	as	ADP
cord-189434-nrkvbdu4	36	113	the	the	DET
cord-189434-nrkvbdu4	36	114	column	column	NOUN
cord-189434-nrkvbdu4	36	115	matrix	matrix	NOUN
cord-189434-nrkvbdu4	36	116	consisting	consist	VERB
cord-189434-nrkvbdu4	36	117	of	of	ADP
cord-189434-nrkvbdu4	36	118	the	the	DET
cord-189434-nrkvbdu4	36	119	time	time	NOUN
cord-189434-nrkvbdu4	36	120	re	re	ADJ
cord-189434-nrkvbdu4	36	121	-	-	ADJ
cord-189434-nrkvbdu4	36	122	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	36	123	rate	rate	NOUN
cord-189434-nrkvbdu4	36	124	of	of	ADP
cord-189434-nrkvbdu4	36	125	infection	infection	NOUN
cord-189434-nrkvbdu4	36	126	v	v	NOUN
cord-189434-nrkvbdu4	36	127	and	and	CCONJ
cord-189434-nrkvbdu4	36	128	force	force	NOUN
cord-189434-nrkvbdu4	36	129	of	of	ADP
cord-189434-nrkvbdu4	36	130	infection	infection	NOUN
cord-189434-nrkvbdu4	36	131	f	f	PROPN
cord-189434-nrkvbdu4	37	1	(	(	PUNCT
cord-189434-nrkvbdu4	37	2	a	a	DET
cord-189434-nrkvbdu4	37	3	common	common	ADJ
cord-189434-nrkvbdu4	37	4	terminology	terminology	NOUN
cord-189434-nrkvbdu4	37	5	from	from	ADP
cord-189434-nrkvbdu4	37	6	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	37	7	epidemiology	epidemiology	NOUN
cord-189434-nrkvbdu4	37	8	already	already	ADV
cord-189434-nrkvbdu4	37	9	establishing	establish	VERB
cord-189434-nrkvbdu4	37	10	a	a	DET
cord-189434-nrkvbdu4	37	11	semantic	semantic	ADJ
cord-189434-nrkvbdu4	37	12	analogy	analogy	NOUN
cord-189434-nrkvbdu4	37	13	to	to	ADP
cord-189434-nrkvbdu4	37	14	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	37	15	exclusively	exclusively	ADV
cord-189434-nrkvbdu4	37	16	in	in	ADP
cord-189434-nrkvbdu4	37	17	the	the	DET
cord-189434-nrkvbdu4	37	18	stock	stock	NOUN
cord-189434-nrkvbdu4	37	19	of	of	ADP
cord-189434-nrkvbdu4	37	20	individuals	individual	NOUN
cord-189434-nrkvbdu4	37	21	in	in	ADP
cord-189434-nrkvbdu4	37	22	the	the	DET
cord-189434-nrkvbdu4	37	23	infected	infected	ADJ
cord-189434-nrkvbdu4	37	24	compartment	compartment	NOUN
cord-189434-nrkvbdu4	37	25	and	and	CCONJ
cord-189434-nrkvbdu4	37	26	with	with	ADP
cord-189434-nrkvbdu4	37	27	the	the	DET
cord-189434-nrkvbdu4	37	28	basic	basic	ADJ
cord-189434-nrkvbdu4	37	29	reproduction	reproduction	NOUN
cord-189434-nrkvbdu4	37	30	number	number	NOUN
cord-189434-nrkvbdu4	37	31	and	and	CCONJ
cord-189434-nrkvbdu4	37	32	the	the	DET
cord-189434-nrkvbdu4	37	33	infection	infection	NOUN
cord-189434-nrkvbdu4	37	34	rate	rate	NOUN
cord-189434-nrkvbdu4	37	35	as	as	ADP
cord-189434-nrkvbdu4	37	36	parameters	parameter	NOUN
cord-189434-nrkvbdu4	37	37	.	.	PUNCT
cord-189434-nrkvbdu4	38	1	the	the	DET
cord-189434-nrkvbdu4	38	2	minimal	minimal	ADJ
cord-189434-nrkvbdu4	38	3	phase	phase	NOUN
cord-189434-nrkvbdu4	38	4	space	space	NOUN
cord-189434-nrkvbdu4	38	5	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	38	6	collectively	collectively	ADV
cord-189434-nrkvbdu4	38	7	assembled	assemble	VERB
cord-189434-nrkvbdu4	38	8	in	in	ADP
cord-189434-nrkvbdu4	38	9	the	the	DET
cord-189434-nrkvbdu4	38	10	column	column	NOUN
cord-189434-nrkvbdu4	38	11	matrix	matrix	NOUN
cord-189434-nrkvbdu4	38	12	z	z	NOUN
cord-189434-nrkvbdu4	38	13	∈	∈	NOUN
cord-189434-nrkvbdu4	38	14	r	r	NOUN
cord-189434-nrkvbdu4	38	15	2	2	NUM
cord-189434-nrkvbdu4	38	16	,	,	PUNCT
cord-189434-nrkvbdu4	38	17	i.e.	i.e.	X
cord-189434-nrkvbdu4	38	18	the	the	DET
cord-189434-nrkvbdu4	38	19	generalized	generalized	ADJ
cord-189434-nrkvbdu4	38	20	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	38	21	q	q	NOUN
cord-189434-nrkvbdu4	38	22	defined	define	VERB
cord-189434-nrkvbdu4	38	23	as	as	ADP
cord-189434-nrkvbdu4	38	24	the	the	DET
cord-189434-nrkvbdu4	38	25	stock	stock	NOUN
cord-189434-nrkvbdu4	38	26	of	of	ADP
cord-189434-nrkvbdu4	38	27	individuals	individual	NOUN
cord-189434-nrkvbdu4	38	28	in	in	ADP
cord-189434-nrkvbdu4	38	29	the	the	DET
cord-189434-nrkvbdu4	38	30	infected	infected	ADJ
cord-189434-nrkvbdu4	38	31	compartment	compartment	NOUN
cord-189434-nrkvbdu4	38	32	and	and	CCONJ
cord-189434-nrkvbdu4	38	33	the	the	DET
cord-189434-nrkvbdu4	38	34	generalized	generalized	ADJ
cord-189434-nrkvbdu4	38	35	momentum	momentum	NOUN
cord-189434-nrkvbdu4	38	36	p	p	PROPN
cord-189434-nrkvbdu4	38	37	defined	define	VERB
cord-189434-nrkvbdu4	38	38	as	as	ADP
cord-189434-nrkvbdu4	38	39	the	the	DET
cord-189434-nrkvbdu4	38	40	stock	stock	NOUN
cord-189434-nrkvbdu4	38	41	of	of	ADP
cord-189434-nrkvbdu4	38	42	individuals	individual	NOUN
cord-189434-nrkvbdu4	38	43	in	in	ADP
cord-189434-nrkvbdu4	38	44	the	the	DET
cord-189434-nrkvbdu4	38	45	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	38	46	compartment	compartment	NOUN
cord-189434-nrkvbdu4	38	47	,	,	PUNCT
cord-189434-nrkvbdu4	38	48	span	span	NOUN
cord-189434-nrkvbdu4	38	49	the	the	DET
cord-189434-nrkvbdu4	38	50	two	two	NUM
cord-189434-nrkvbdu4	38	51	-	-	PUNCT
cord-189434-nrkvbdu4	38	52	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	38	53	phase	phase	NOUN
cord-189434-nrkvbdu4	38	54	space	space	NOUN
cord-189434-nrkvbdu4	38	55	è	è	PROPN
cord-189434-nrkvbdu4	38	56	,	,	PUNCT
cord-189434-nrkvbdu4	38	57	thus	thus	ADV
cord-189434-nrkvbdu4	38	58	è	è	PROPN
cord-189434-nrkvbdu4	38	59	:	:	PUNCT
cord-189434-nrkvbdu4	38	60	=	=	X
cord-189434-nrkvbdu4	38	61	z	z	X
cord-189434-nrkvbdu4	38	62	:	:	PUNCT
cord-189434-nrkvbdu4	38	63	=	=	X
cord-189434-nrkvbdu4	38	64	q	q	NOUN
cord-189434-nrkvbdu4	38	65	p	p	NOUN
cord-189434-nrkvbdu4	38	66	:	:	PUNCT
cord-189434-nrkvbdu4	39	1	=	=	NOUN
cord-189434-nrkvbdu4	39	2	i	i	NOUN
cord-189434-nrkvbdu4	39	3	s	s	VERB
cord-189434-nrkvbdu4	39	4	.	.	PUNCT
cord-189434-nrkvbdu4	40	1	the	the	DET
cord-189434-nrkvbdu4	40	2	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	40	3	h(z	h(z	PROPN
cord-189434-nrkvbdu4	40	4	)	)	PUNCT
cord-189434-nrkvbdu4	40	5	in	in	ADP
cord-189434-nrkvbdu4	40	6	minimal	minimal	ADJ
cord-189434-nrkvbdu4	40	7	phase	phase	NOUN
cord-189434-nrkvbdu4	40	8	space	space	NOUN
cord-189434-nrkvbdu4	40	9	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	40	10	,	,	PUNCT
cord-189434-nrkvbdu4	40	11	which	which	PRON
cord-189434-nrkvbdu4	40	12	eventually	eventually	ADV
cord-189434-nrkvbdu4	40	13	results	result	VERB
cord-189434-nrkvbdu4	40	14	in	in	ADP
cord-189434-nrkvbdu4	40	15	the	the	DET
cord-189434-nrkvbdu4	40	16	time	time	NOUN
cord-189434-nrkvbdu4	40	17	re	re	ADJ
cord-189434-nrkvbdu4	40	18	-	-	ADJ
cord-189434-nrkvbdu4	40	19	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	40	20	sir	sir	PROPN
cord-189434-nrkvbdu4	40	21	model	model	NOUN
cord-189434-nrkvbdu4	40	22	from	from	ADP
cord-189434-nrkvbdu4	40	23	eq	eq	PROPN
cord-189434-nrkvbdu4	40	24	.	.	PROPN
cord-189434-nrkvbdu4	40	25	6	6	NUM
cord-189434-nrkvbdu4	40	26	,	,	PUNCT
cord-189434-nrkvbdu4	40	27	is	be	AUX
cord-189434-nrkvbdu4	40	28	then	then	ADV
cord-189434-nrkvbdu4	40	29	identified	identify	VERB
cord-189434-nrkvbdu4	40	30	as	as	ADP
cord-189434-nrkvbdu4	40	31	indeed	indeed	ADV
cord-189434-nrkvbdu4	40	32	,	,	PUNCT
cord-189434-nrkvbdu4	40	33	the	the	DET
cord-189434-nrkvbdu4	40	34	corresponding	correspond	VERB
cord-189434-nrkvbdu4	40	35	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	40	36	equations	equation	NOUN
cord-189434-nrkvbdu4	40	37	deliver	deliver	VERB
cord-189434-nrkvbdu4	40	38	a	a	DET
cord-189434-nrkvbdu4	40	39	re	re	NOUN
cord-189434-nrkvbdu4	40	40	-	-	NOUN
cord-189434-nrkvbdu4	40	41	formulation	formulation	NOUN
cord-189434-nrkvbdu4	40	42	of	of	ADP
cord-189434-nrkvbdu4	40	43	the	the	DET
cord-189434-nrkvbdu4	40	44	result	result	NOUN
cord-189434-nrkvbdu4	40	45	in	in	ADP
cord-189434-nrkvbdu4	40	46	eq	eq	PROPN
cord-189434-nrkvbdu4	40	47	.	.	PROPN
cord-189434-nrkvbdu4	40	48	6	6	NUM
cord-189434-nrkvbdu4	40	49	,	,	PUNCT
cord-189434-nrkvbdu4	40	50	i.e.	i.e.	X
cord-189434-nrkvbdu4	40	51	symbolic	symbolic	ADJ
cord-189434-nrkvbdu4	40	52	notation	notation	NOUN
cord-189434-nrkvbdu4	40	53	clearly	clearly	ADV
cord-189434-nrkvbdu4	40	54	reveals	reveal	VERB
cord-189434-nrkvbdu4	40	55	the	the	DET
cord-189434-nrkvbdu4	40	56	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	40	57	structure	structure	NOUN
cord-189434-nrkvbdu4	40	58	of	of	ADP
cord-189434-nrkvbdu4	40	59	the	the	DET
cord-189434-nrkvbdu4	40	60	time	time	NOUN
cord-189434-nrkvbdu4	40	61	re	re	ADJ
cord-189434-nrkvbdu4	40	62	-	-	ADJ
cord-189434-nrkvbdu4	40	63	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	40	64	sir	sir	PROPN
cord-189434-nrkvbdu4	40	65	model	model	NOUN
cord-189434-nrkvbdu4	40	66	thereby	thereby	ADV
cord-189434-nrkvbdu4	40	67	,	,	PUNCT
cord-189434-nrkvbdu4	40	68	the	the	DET
cord-189434-nrkvbdu4	40	69	skew	skew	ADJ
cord-189434-nrkvbdu4	40	70	-	-	PUNCT
cord-189434-nrkvbdu4	40	71	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	40	72	j	j	PROPN
cord-189434-nrkvbdu4	40	73	∈	∈	PROPN
cord-189434-nrkvbdu4	40	74	r	r	NOUN
cord-189434-nrkvbdu4	40	75	2	2	NUM
cord-189434-nrkvbdu4	40	76	×	×	NOUN
cord-189434-nrkvbdu4	40	77	r	r	NOUN
cord-189434-nrkvbdu4	40	78	2	2	NUM
cord-189434-nrkvbdu4	40	79	denotes	denote	VERB
cord-189434-nrkvbdu4	40	80	the	the	DET
cord-189434-nrkvbdu4	40	81	so	so	ADV
cord-189434-nrkvbdu4	40	82	-	-	PUNCT
cord-189434-nrkvbdu4	40	83	called	call	VERB
cord-189434-nrkvbdu4	40	84	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	40	85	matrix	matrix	NOUN
cord-189434-nrkvbdu4	40	86	in	in	ADP
cord-189434-nrkvbdu4	40	87	è	è	PROPN
cord-189434-nrkvbdu4	40	88	with	with	ADP
cord-189434-nrkvbdu4	40	89	j	j	PROPN
cord-189434-nrkvbdu4	40	90	t	t	PROPN
cord-189434-nrkvbdu4	40	91	=	=	SYM
cord-189434-nrkvbdu4	40	92	−j	−j	PROPN
cord-189434-nrkvbdu4	40	93	and	and	CCONJ
cord-189434-nrkvbdu4	40	94	j	j	PROPN
cord-189434-nrkvbdu4	40	95	2	2	NUM
cord-189434-nrkvbdu4	40	96	=	=	X
cord-189434-nrkvbdu4	40	97	−i	−i	PROPN
cord-189434-nrkvbdu4	40	98	,	,	PUNCT
cord-189434-nrkvbdu4	40	99	whereby	whereby	SCONJ
cord-189434-nrkvbdu4	40	100	i	i	PRON
cord-189434-nrkvbdu4	40	101	∈	∈	VERB
cord-189434-nrkvbdu4	40	102	r	r	NOUN
cord-189434-nrkvbdu4	41	1	2	2	NUM
cord-189434-nrkvbdu4	41	2	×	×	NOUN
cord-189434-nrkvbdu4	41	3	r	r	NOUN
cord-189434-nrkvbdu4	41	4	2	2	NUM
cord-189434-nrkvbdu4	41	5	is	be	AUX
cord-189434-nrkvbdu4	41	6	the	the	DET
cord-189434-nrkvbdu4	41	7	common	common	ADJ
cord-189434-nrkvbdu4	41	8	unit	unit	NOUN
cord-189434-nrkvbdu4	41	9	matrix	matrix	NOUN
cord-189434-nrkvbdu4	41	10	in	in	ADP
cord-189434-nrkvbdu4	41	11	è	è	PROPN
cord-189434-nrkvbdu4	41	12	.	.	PUNCT
cord-189434-nrkvbdu4	42	1	the	the	DET
cord-189434-nrkvbdu4	42	2	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	3	structure	structure	NOUN
cord-189434-nrkvbdu4	42	4	in	in	ADP
cord-189434-nrkvbdu4	42	5	terms	term	NOUN
cord-189434-nrkvbdu4	42	6	of	of	ADP
cord-189434-nrkvbdu4	42	7	the	the	DET
cord-189434-nrkvbdu4	42	8	skew	skew	ADJ
cord-189434-nrkvbdu4	42	9	-	-	PUNCT
cord-189434-nrkvbdu4	42	10	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	42	11	j	j	PROPN
cord-189434-nrkvbdu4	42	12	clearly	clearly	ADV
cord-189434-nrkvbdu4	42	13	identifies	identify	VERB
cord-189434-nrkvbdu4	42	14	the	the	DET
cord-189434-nrkvbdu4	42	15	(	(	PUNCT
cord-189434-nrkvbdu4	42	16	autonomous	autonomous	ADJ
cord-189434-nrkvbdu4	42	17	)	)	PUNCT
cord-189434-nrkvbdu4	42	18	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	19	h(z	h(z	PROPN
cord-189434-nrkvbdu4	42	20	)	)	PUNCT
cord-189434-nrkvbdu4	42	21	in	in	ADP
cord-189434-nrkvbdu4	42	22	minimal	minimal	ADJ
cord-189434-nrkvbdu4	42	23	phase	phase	NOUN
cord-189434-nrkvbdu4	42	24	space	space	NOUN
cord-189434-nrkvbdu4	42	25	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	42	26	as	as	ADP
cord-189434-nrkvbdu4	42	27	first	first	ADV
cord-189434-nrkvbdu4	42	28	integral	integral	ADJ
cord-189434-nrkvbdu4	42	29	,	,	PUNCT
cord-189434-nrkvbdu4	42	30	i.e.	i.e.	X
cord-189434-nrkvbdu4	42	31	as	as	ADP
cord-189434-nrkvbdu4	42	32	a	a	DET
cord-189434-nrkvbdu4	42	33	conserved	conserved	ADJ
cord-189434-nrkvbdu4	42	34	quantity	quantity	NOUN
cord-189434-nrkvbdu4	42	35	under	under	ADP
cord-189434-nrkvbdu4	42	36	the	the	DET
cord-189434-nrkvbdu4	42	37	flow	flow	NOUN
cord-189434-nrkvbdu4	42	38	implied	imply	VERB
cord-189434-nrkvbdu4	42	39	by	by	ADP
cord-189434-nrkvbdu4	42	40	the	the	DET
cord-189434-nrkvbdu4	42	41	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	42	42	equations	equation	NOUN
cord-189434-nrkvbdu4	42	43	,	,	PUNCT
cord-189434-nrkvbdu4	42	44	since	since	SCONJ
cord-189434-nrkvbdu4	42	45	the	the	DET
cord-189434-nrkvbdu4	42	46	gradient	gradient	NOUN
cord-189434-nrkvbdu4	42	47	of	of	ADP
cord-189434-nrkvbdu4	42	48	the	the	DET
cord-189434-nrkvbdu4	42	49	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	50	h(z	h(z	PROPN
cord-189434-nrkvbdu4	42	51	)	)	PUNCT
cord-189434-nrkvbdu4	42	52	with	with	ADP
cord-189434-nrkvbdu4	42	53	respect	respect	NOUN
cord-189434-nrkvbdu4	42	54	to	to	ADP
cord-189434-nrkvbdu4	42	55	the	the	DET
cord-189434-nrkvbdu4	42	56	minimal	minimal	ADJ
cord-189434-nrkvbdu4	42	57	phase	phase	NOUN
cord-189434-nrkvbdu4	42	58	space	space	NOUN
cord-189434-nrkvbdu4	42	59	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	42	60	,	,	PUNCT
cord-189434-nrkvbdu4	42	61	abbreviated	abbreviate	VERB
cord-189434-nrkvbdu4	42	62	in	in	ADP
cord-189434-nrkvbdu4	42	63	the	the	DET
cord-189434-nrkvbdu4	42	64	sequel	sequel	NOUN
cord-189434-nrkvbdu4	42	65	as	as	ADP
cord-189434-nrkvbdu4	42	66	g(z	g(z	PROPN
cord-189434-nrkvbdu4	42	67	)	)	PUNCT
cord-189434-nrkvbdu4	42	68	∈	∈	NOUN
cord-189434-nrkvbdu4	42	69	r	r	NOUN
cord-189434-nrkvbdu4	42	70	2	2	NUM
cord-189434-nrkvbdu4	42	71	,	,	PUNCT
cord-189434-nrkvbdu4	42	72	computes	compute	NOUN
cord-189434-nrkvbdu4	42	73	as	as	SCONJ
cord-189434-nrkvbdu4	42	74	taken	take	VERB
cord-189434-nrkvbdu4	42	75	together	together	ADV
cord-189434-nrkvbdu4	42	76	,	,	PUNCT
cord-189434-nrkvbdu4	42	77	the	the	DET
cord-189434-nrkvbdu4	42	78	time	time	NOUN
cord-189434-nrkvbdu4	42	79	re	re	VERB
cord-189434-nrkvbdu4	42	80	-	-	ADJ
cord-189434-nrkvbdu4	42	81	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	42	82	sir	sir	PROPN
cord-189434-nrkvbdu4	42	83	model	model	PROPN
cord-189434-nrkvbdu4	42	84	obeys	obey	VERB
cord-189434-nrkvbdu4	42	85	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	86	structure	structure	NOUN
cord-189434-nrkvbdu4	42	87	and	and	CCONJ
cord-189434-nrkvbdu4	42	88	identifies	identify	VERB
cord-189434-nrkvbdu4	42	89	the	the	DET
cord-189434-nrkvbdu4	42	90	relation	relation	NOUN
cord-189434-nrkvbdu4	42	91	between	between	ADP
cord-189434-nrkvbdu4	42	92	the	the	DET
cord-189434-nrkvbdu4	42	93	gradient	gradient	ADJ
cord-189434-nrkvbdu4	42	94	g(z	g(z	PROPN
cord-189434-nrkvbdu4	42	95	)	)	PUNCT
cord-189434-nrkvbdu4	42	96	∈	∈	NOUN
cord-189434-nrkvbdu4	42	97	r	r	NOUN
cord-189434-nrkvbdu4	42	98	2	2	NUM
cord-189434-nrkvbdu4	42	99	of	of	ADP
cord-189434-nrkvbdu4	42	100	the	the	DET
cord-189434-nrkvbdu4	42	101	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	102	h(z	h(z	PROPN
cord-189434-nrkvbdu4	42	103	)	)	PUNCT
cord-189434-nrkvbdu4	42	104	in	in	ADP
cord-189434-nrkvbdu4	42	105	minimal	minimal	ADJ
cord-189434-nrkvbdu4	42	106	phase	phase	NOUN
cord-189434-nrkvbdu4	42	107	space	space	NOUN
cord-189434-nrkvbdu4	42	108	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	42	109	and	and	CCONJ
cord-189434-nrkvbdu4	42	110	the	the	DET
cord-189434-nrkvbdu4	42	111	forcing	force	VERB
cord-189434-nrkvbdu4	42	112	term	term	NOUN
cord-189434-nrkvbdu4	42	113	f	f	PROPN
cord-189434-nrkvbdu4	42	114	(	(	PUNCT
cord-189434-nrkvbdu4	42	115	z	z	NOUN
cord-189434-nrkvbdu4	42	116	)	)	PUNCT
cord-189434-nrkvbdu4	42	117	∈	∈	NOUN
cord-189434-nrkvbdu4	42	118	r	r	NOUN
cord-189434-nrkvbdu4	42	119	2	2	NUM
cord-189434-nrkvbdu4	42	120	as	as	ADP
cord-189434-nrkvbdu4	42	121	exchanging	exchange	VERB
cord-189434-nrkvbdu4	42	122	the	the	DET
cord-189434-nrkvbdu4	42	123	time	time	NOUN
cord-189434-nrkvbdu4	42	124	derivative	derivative	ADJ
cord-189434-nrkvbdu4	42	125	to	to	ADP
cord-189434-nrkvbdu4	42	126	the	the	DET
cord-189434-nrkvbdu4	42	127	one	one	NOUN
cord-189434-nrkvbdu4	42	128	with	with	ADP
cord-189434-nrkvbdu4	42	129	respect	respect	NOUN
cord-189434-nrkvbdu4	42	130	to	to	ADP
cord-189434-nrkvbdu4	42	131	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	42	132	time	time	NOUN
cord-189434-nrkvbdu4	42	133	t	t	PRON
cord-189434-nrkvbdu4	42	134	destroys	destroy	VERB
cord-189434-nrkvbdu4	42	135	the	the	DET
cord-189434-nrkvbdu4	42	136	clean	clean	ADJ
cord-189434-nrkvbdu4	42	137	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	138	structure	structure	NOUN
cord-189434-nrkvbdu4	42	139	in	in	ADP
cord-189434-nrkvbdu4	42	140	terms	term	NOUN
cord-189434-nrkvbdu4	42	141	of	of	ADP
cord-189434-nrkvbdu4	42	142	a	a	DET
cord-189434-nrkvbdu4	42	143	constant	constant	ADJ
cord-189434-nrkvbdu4	42	144	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	42	145	matrix	matrix	NOUN
cord-189434-nrkvbdu4	42	146	,	,	PUNCT
cord-189434-nrkvbdu4	42	147	i.e.	i.e.	X
cord-189434-nrkvbdu4	42	148	one	one	NUM
cord-189434-nrkvbdu4	42	149	may	may	AUX
cord-189434-nrkvbdu4	42	150	,	,	PUNCT
cord-189434-nrkvbdu4	42	151	of	of	ADP
cord-189434-nrkvbdu4	42	152	course	course	NOUN
cord-189434-nrkvbdu4	42	153	,	,	PUNCT
cord-189434-nrkvbdu4	42	154	re	re	VERB
cord-189434-nrkvbdu4	42	155	-	-	VERB
cord-189434-nrkvbdu4	42	156	interpret	interpret	VERB
cord-189434-nrkvbdu4	42	157	this	this	DET
cord-189434-nrkvbdu4	42	158	result	result	NOUN
cord-189434-nrkvbdu4	42	159	as	as	ADP
cord-189434-nrkvbdu4	42	160	a	a	DET
cord-189434-nrkvbdu4	42	161	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	42	162	structure	structure	NOUN
cord-189434-nrkvbdu4	42	163	with	with	ADP
cord-189434-nrkvbdu4	42	164	non	non	ADJ
cord-189434-nrkvbdu4	42	165	-	-	ADJ
cord-189434-nrkvbdu4	42	166	constant	constant	ADJ
cord-189434-nrkvbdu4	42	167	,	,	PUNCT
cord-189434-nrkvbdu4	42	168	coordinatedependent	coordinatedependent	ADJ
cord-189434-nrkvbdu4	42	169	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	42	170	matrix	matrix	NOUN
cord-189434-nrkvbdu4	43	1	[	[	X
cord-189434-nrkvbdu4	43	2	si	si	X
cord-189434-nrkvbdu4	43	3	]	]	X
cord-189434-nrkvbdu4	43	4	j	j	X
cord-189434-nrkvbdu4	43	5	on	on	ADP
cord-189434-nrkvbdu4	43	6	a	a	DET
cord-189434-nrkvbdu4	43	7	non	non	ADJ
cord-189434-nrkvbdu4	43	8	-	-	ADJ
cord-189434-nrkvbdu4	43	9	flat	flat	ADJ
cord-189434-nrkvbdu4	43	10	manifold	manifold	ADJ
cord-189434-nrkvbdu4	43	11	.	.	PUNCT
cord-189434-nrkvbdu4	44	1	the	the	DET
cord-189434-nrkvbdu4	44	2	minimal	minimal	ADJ
cord-189434-nrkvbdu4	44	3	state	state	NOUN
cord-189434-nrkvbdu4	44	4	space	space	NOUN
cord-189434-nrkvbdu4	44	5	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	44	6	,	,	PUNCT
cord-189434-nrkvbdu4	44	7	i.e.	i.e.	X
cord-189434-nrkvbdu4	44	8	the	the	DET
cord-189434-nrkvbdu4	44	9	generalized	generalized	ADJ
cord-189434-nrkvbdu4	44	10	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	44	11	q	q	NOUN
cord-189434-nrkvbdu4	44	12	defined	define	VERB
cord-189434-nrkvbdu4	44	13	as	as	ADP
cord-189434-nrkvbdu4	44	14	the	the	DET
cord-189434-nrkvbdu4	44	15	stock	stock	NOUN
cord-189434-nrkvbdu4	44	16	of	of	ADP
cord-189434-nrkvbdu4	44	17	individuals	individual	NOUN
cord-189434-nrkvbdu4	44	18	in	in	ADP
cord-189434-nrkvbdu4	44	19	the	the	DET
cord-189434-nrkvbdu4	44	20	infected	infect	VERB
cord-189434-nrkvbdu4	44	21	compartment	compartment	NOUN
cord-189434-nrkvbdu4	44	22	,	,	PUNCT
cord-189434-nrkvbdu4	44	23	spans	span	VERB
cord-189434-nrkvbdu4	44	24	the	the	DET
cord-189434-nrkvbdu4	44	25	one	one	NUM
cord-189434-nrkvbdu4	44	26	-	-	PUNCT
cord-189434-nrkvbdu4	44	27	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	44	28	state	state	NOUN
cord-189434-nrkvbdu4	44	29	space	space	NOUN
cord-189434-nrkvbdu4	44	30	ë	ë	ADV
cord-189434-nrkvbdu4	44	31	,	,	PUNCT
cord-189434-nrkvbdu4	44	32	thus	thus	ADV
cord-189434-nrkvbdu4	44	33	ë	ë	X
cord-189434-nrkvbdu4	44	34	:	:	PUNCT
cord-189434-nrkvbdu4	44	35	=	=	NOUN
cord-189434-nrkvbdu4	44	36	{	{	PUNCT
cord-189434-nrkvbdu4	44	37	q	q	NOUN
cord-189434-nrkvbdu4	44	38	:	:	PUNCT
cord-189434-nrkvbdu4	44	39	=	=	NOUN
cord-189434-nrkvbdu4	44	40	i	i	NOUN
cord-189434-nrkvbdu4	44	41	}	}	PUNCT
cord-189434-nrkvbdu4	44	42	.	.	PUNCT
cord-189434-nrkvbdu4	45	1	the	the	DET
cord-189434-nrkvbdu4	45	2	supremum	supremum	ADJ
cord-189434-nrkvbdu4	45	3	condition	condition	NOUN
cord-189434-nrkvbdu4	45	4	identifies	identify	VERB
cord-189434-nrkvbdu4	45	5	i	i	PRON
cord-189434-nrkvbdu4	45	6	•	•	PUNCT
cord-189434-nrkvbdu4	45	7	with	with	ADP
cord-189434-nrkvbdu4	45	8	the	the	DET
cord-189434-nrkvbdu4	45	9	derivative	derivative	ADJ
cord-189434-nrkvbdu4	45	10	∂	∂	PROPN
cord-189434-nrkvbdu4	45	11	s	s	PART
cord-189434-nrkvbdu4	45	12	h(z	h(z	PROPN
cord-189434-nrkvbdu4	45	13	)	)	PUNCT
cord-189434-nrkvbdu4	45	14	of	of	ADP
cord-189434-nrkvbdu4	45	15	the	the	DET
cord-189434-nrkvbdu4	45	16	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	45	17	in	in	ADP
cord-189434-nrkvbdu4	45	18	minimal	minimal	ADJ
cord-189434-nrkvbdu4	45	19	phase	phase	NOUN
cord-189434-nrkvbdu4	45	20	space	space	NOUN
cord-189434-nrkvbdu4	45	21	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	45	22	from	from	ADP
cord-189434-nrkvbdu4	45	23	eq	eq	PROPN
cord-189434-nrkvbdu4	45	24	.	.	PROPN
cord-189434-nrkvbdu4	45	25	9	9	NUM
cord-189434-nrkvbdu4	45	26	with	with	ADP
cord-189434-nrkvbdu4	45	27	respect	respect	NOUN
cord-189434-nrkvbdu4	45	28	to	to	ADP
cord-189434-nrkvbdu4	45	29	the	the	DET
cord-189434-nrkvbdu4	45	30	generalized	generalized	ADJ
cord-189434-nrkvbdu4	45	31	momentum	momentum	NOUN
cord-189434-nrkvbdu4	45	32	,	,	PUNCT
cord-189434-nrkvbdu4	45	33	and	and	CCONJ
cord-189434-nrkvbdu4	45	34	renders	render	VERB
cord-189434-nrkvbdu4	45	35	re	re	VERB
cord-189434-nrkvbdu4	45	36	-	-	VERB
cord-189434-nrkvbdu4	45	37	solving	solve	VERB
cord-189434-nrkvbdu4	45	38	the	the	DET
cord-189434-nrkvbdu4	45	39	above	above	ADJ
cord-189434-nrkvbdu4	45	40	supremum	supremum	ADJ
cord-189434-nrkvbdu4	45	41	condition	condition	NOUN
cord-189434-nrkvbdu4	45	42	for	for	ADP
cord-189434-nrkvbdu4	45	43	s	s	NOUN
cord-189434-nrkvbdu4	45	44	in	in	ADP
cord-189434-nrkvbdu4	45	45	terms	term	NOUN
cord-189434-nrkvbdu4	45	46	of	of	ADP
cord-189434-nrkvbdu4	45	47	i	i	PRON
cord-189434-nrkvbdu4	45	48	•	•	PUNCT
cord-189434-nrkvbdu4	45	49	delivers	deliver	VERB
cord-189434-nrkvbdu4	45	50	based	base	VERB
cord-189434-nrkvbdu4	45	51	on	on	ADP
cord-189434-nrkvbdu4	45	52	the	the	DET
cord-189434-nrkvbdu4	45	53	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	45	54	in	in	ADP
cord-189434-nrkvbdu4	45	55	minimal	minimal	ADJ
cord-189434-nrkvbdu4	45	56	state	state	NOUN
cord-189434-nrkvbdu4	45	57	space	space	NOUN
cord-189434-nrkvbdu4	45	58	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	45	59	,	,	PUNCT
cord-189434-nrkvbdu4	45	60	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	45	61	's	's	PART
cord-189434-nrkvbdu4	45	62	principle	principle	ADJ
cord-189434-nrkvbdu4	45	63	results	result	NOUN
cord-189434-nrkvbdu4	45	64	in	in	ADP
cord-189434-nrkvbdu4	45	65	the	the	DET
cord-189434-nrkvbdu4	45	66	stationarity	stationarity	NOUN
cord-189434-nrkvbdu4	45	67	condition	condition	NOUN
cord-189434-nrkvbdu4	45	68	clearly	clearly	ADV
cord-189434-nrkvbdu4	45	69	,	,	PUNCT
cord-189434-nrkvbdu4	45	70	the	the	DET
cord-189434-nrkvbdu4	45	71	euler	euler	ADJ
cord-189434-nrkvbdu4	45	72	-	-	PUNCT
cord-189434-nrkvbdu4	45	73	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	45	74	equation	equation	NOUN
cord-189434-nrkvbdu4	45	75	in	in	ADP
cord-189434-nrkvbdu4	45	76	minimal	minimal	ADJ
cord-189434-nrkvbdu4	45	77	state	state	NOUN
cord-189434-nrkvbdu4	45	78	space	space	NOUN
cord-189434-nrkvbdu4	45	79	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	45	80	coincides	coincide	VERB
cord-189434-nrkvbdu4	45	81	with	with	ADP
cord-189434-nrkvbdu4	45	82	the	the	DET
cord-189434-nrkvbdu4	45	83	single	single	ADJ
cord-189434-nrkvbdu4	45	84	,	,	PUNCT
cord-189434-nrkvbdu4	45	85	non	non	ADJ
cord-189434-nrkvbdu4	45	86	-	-	ADJ
cord-189434-nrkvbdu4	45	87	linear	linear	ADJ
cord-189434-nrkvbdu4	45	88	ode	ode	ADJ
cord-189434-nrkvbdu4	45	89	formulation	formulation	NOUN
cord-189434-nrkvbdu4	45	90	of	of	ADP
cord-189434-nrkvbdu4	45	91	the	the	DET
cord-189434-nrkvbdu4	45	92	time	time	NOUN
cord-189434-nrkvbdu4	45	93	re	re	ADJ
cord-189434-nrkvbdu4	45	94	-	-	ADJ
cord-189434-nrkvbdu4	45	95	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	45	96	sir	sir	PROPN
cord-189434-nrkvbdu4	45	97	model	model	NOUN
cord-189434-nrkvbdu4	45	98	in	in	ADP
cord-189434-nrkvbdu4	45	99	eq	eq	PROPN
cord-189434-nrkvbdu4	45	100	.	.	PROPN
cord-189434-nrkvbdu4	45	101	7	7	NUM
cord-189434-nrkvbdu4	45	102	.	.	PUNCT
cord-189434-nrkvbdu4	46	1	alternatively	alternatively	ADV
cord-189434-nrkvbdu4	46	2	,	,	PUNCT
cord-189434-nrkvbdu4	46	3	extended	extended	ADJ
cord-189434-nrkvbdu4	46	4	state	state	NOUN
cord-189434-nrkvbdu4	46	5	space	space	NOUN
cord-189434-nrkvbdu4	46	6	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	7	collectively	collectively	ADV
cord-189434-nrkvbdu4	46	8	assembled	assemble	VERB
cord-189434-nrkvbdu4	46	9	in	in	ADP
cord-189434-nrkvbdu4	46	10	the	the	DET
cord-189434-nrkvbdu4	46	11	column	column	NOUN
cord-189434-nrkvbdu4	46	12	matrix	matrix	NOUN
cord-189434-nrkvbdu4	46	13	q	q	NOUN
cord-189434-nrkvbdu4	46	14	∈	∈	NOUN
cord-189434-nrkvbdu4	46	15	r	r	NOUN
cord-189434-nrkvbdu4	46	16	2	2	NUM
cord-189434-nrkvbdu4	46	17	,	,	PUNCT
cord-189434-nrkvbdu4	46	18	i.e.	i.e.	X
cord-189434-nrkvbdu4	46	19	the	the	DET
cord-189434-nrkvbdu4	46	20	generalized	generalized	ADJ
cord-189434-nrkvbdu4	46	21	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	22	jointly	jointly	ADV
cord-189434-nrkvbdu4	46	23	defined	define	VERB
cord-189434-nrkvbdu4	46	24	as	as	ADP
cord-189434-nrkvbdu4	46	25	the	the	DET
cord-189434-nrkvbdu4	46	26	stock	stock	NOUN
cord-189434-nrkvbdu4	46	27	of	of	ADP
cord-189434-nrkvbdu4	46	28	individuals	individual	NOUN
cord-189434-nrkvbdu4	46	29	in	in	ADP
cord-189434-nrkvbdu4	46	30	the	the	DET
cord-189434-nrkvbdu4	46	31	infected	infected	ADJ
cord-189434-nrkvbdu4	46	32	and	and	CCONJ
cord-189434-nrkvbdu4	46	33	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	46	34	compartments	compartment	NOUN
cord-189434-nrkvbdu4	46	35	,	,	PUNCT
cord-189434-nrkvbdu4	46	36	span	span	VERB
cord-189434-nrkvbdu4	46	37	the	the	DET
cord-189434-nrkvbdu4	46	38	two	two	NUM
cord-189434-nrkvbdu4	46	39	-	-	PUNCT
cord-189434-nrkvbdu4	46	40	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	46	41	state	state	NOUN
cord-189434-nrkvbdu4	46	42	space	space	NOUN
cord-189434-nrkvbdu4	46	43	ë	ë	ADV
cord-189434-nrkvbdu4	46	44	,	,	PUNCT
cord-189434-nrkvbdu4	46	45	thus	thus	ADV
cord-189434-nrkvbdu4	46	46	then	then	ADV
cord-189434-nrkvbdu4	46	47	the	the	DET
cord-189434-nrkvbdu4	46	48	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	46	49	l(q	l(q	PROPN
cord-189434-nrkvbdu4	46	50	,	,	PUNCT
cord-189434-nrkvbdu4	46	51	q	q	NOUN
cord-189434-nrkvbdu4	46	52	•	•	PUNCT
cord-189434-nrkvbdu4	46	53	)	)	PUNCT
cord-189434-nrkvbdu4	46	54	in	in	ADP
cord-189434-nrkvbdu4	46	55	extended	extend	VERB
cord-189434-nrkvbdu4	46	56	state	state	NOUN
cord-189434-nrkvbdu4	46	57	space	space	NOUN
cord-189434-nrkvbdu4	46	58	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	59	,	,	PUNCT
cord-189434-nrkvbdu4	46	60	which	which	PRON
cord-189434-nrkvbdu4	46	61	eventually	eventually	ADV
cord-189434-nrkvbdu4	46	62	results	result	VERB
cord-189434-nrkvbdu4	46	63	in	in	ADP
cord-189434-nrkvbdu4	46	64	the	the	DET
cord-189434-nrkvbdu4	46	65	time	time	NOUN
cord-189434-nrkvbdu4	46	66	re	re	ADJ
cord-189434-nrkvbdu4	46	67	-	-	ADJ
cord-189434-nrkvbdu4	46	68	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	46	69	sir	sir	PROPN
cord-189434-nrkvbdu4	46	70	model	model	NOUN
cord-189434-nrkvbdu4	46	71	from	from	ADP
cord-189434-nrkvbdu4	46	72	eq	eq	PROPN
cord-189434-nrkvbdu4	46	73	.	.	PROPN
cord-189434-nrkvbdu4	46	74	6	6	NUM
cord-189434-nrkvbdu4	46	75	,	,	PUNCT
cord-189434-nrkvbdu4	46	76	is	be	AUX
cord-189434-nrkvbdu4	46	77	determined	determine	VERB
cord-189434-nrkvbdu4	46	78	as	as	ADP
cord-189434-nrkvbdu4	46	79	here	here	ADV
cord-189434-nrkvbdu4	46	80	,	,	PUNCT
cord-189434-nrkvbdu4	46	81	the	the	DET
cord-189434-nrkvbdu4	46	82	legendre	legendre	NOUN
cord-189434-nrkvbdu4	46	83	transformation	transformation	NOUN
cord-189434-nrkvbdu4	46	84	term	term	NOUN
cord-189434-nrkvbdu4	46	85	q	q	NOUN
cord-189434-nrkvbdu4	46	86	·	·	PUNCT
cord-189434-nrkvbdu4	46	87	j	j	PROPN
cord-189434-nrkvbdu4	46	88	t	t	PROPN
cord-189434-nrkvbdu4	46	89	·	·	PUNCT
cord-189434-nrkvbdu4	46	90	q	q	X
cord-189434-nrkvbdu4	46	91	•	•	PUNCT
cord-189434-nrkvbdu4	46	92	=	=	NOUN
cord-189434-nrkvbdu4	46	93	q	q	NOUN
cord-189434-nrkvbdu4	46	94	•	•	PUNCT
cord-189434-nrkvbdu4	46	95	·	·	PUNCT
cord-189434-nrkvbdu4	46	96	j	j	X
cord-189434-nrkvbdu4	46	97	·	·	PUNCT
cord-189434-nrkvbdu4	46	98	q	q	PROPN
cord-189434-nrkvbdu4	46	99	expands	expand	VERB
cord-189434-nrkvbdu4	46	100	as	as	ADP
cord-189434-nrkvbdu4	46	101	the	the	DET
cord-189434-nrkvbdu4	46	102	skew	skew	ADJ
cord-189434-nrkvbdu4	46	103	-	-	PUNCT
cord-189434-nrkvbdu4	46	104	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	46	105	form	form	NOUN
cord-189434-nrkvbdu4	46	106	whereas	whereas	SCONJ
cord-189434-nrkvbdu4	46	107	the	the	DET
cord-189434-nrkvbdu4	46	108	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	46	109	h(q	h(q	ADV
cord-189434-nrkvbdu4	46	110	)	)	PUNCT
cord-189434-nrkvbdu4	46	111	,	,	PUNCT
cord-189434-nrkvbdu4	46	112	corresponding	correspond	VERB
cord-189434-nrkvbdu4	46	113	to	to	ADP
cord-189434-nrkvbdu4	46	114	eq	eq	PROPN
cord-189434-nrkvbdu4	46	115	.	.	PROPN
cord-189434-nrkvbdu4	46	116	9	9	NUM
cord-189434-nrkvbdu4	46	117	,	,	PUNCT
cord-189434-nrkvbdu4	46	118	is	be	AUX
cord-189434-nrkvbdu4	46	119	now	now	ADV
cord-189434-nrkvbdu4	46	120	parameterized	parameterize	VERB
cord-189434-nrkvbdu4	46	121	in	in	ADP
cord-189434-nrkvbdu4	46	122	terms	term	NOUN
cord-189434-nrkvbdu4	46	123	of	of	ADP
cord-189434-nrkvbdu4	46	124	the	the	DET
cord-189434-nrkvbdu4	46	125	extended	extended	ADJ
cord-189434-nrkvbdu4	46	126	state	state	NOUN
cord-189434-nrkvbdu4	46	127	space	space	NOUN
cord-189434-nrkvbdu4	46	128	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	129	q	q	ADV
cord-189434-nrkvbdu4	46	130	with	with	ADP
cord-189434-nrkvbdu4	46	131	as	as	ADP
cord-189434-nrkvbdu4	46	132	a	a	DET
cord-189434-nrkvbdu4	46	133	result	result	NOUN
cord-189434-nrkvbdu4	46	134	,	,	PUNCT
cord-189434-nrkvbdu4	46	135	the	the	DET
cord-189434-nrkvbdu4	46	136	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	46	137	in	in	ADP
cord-189434-nrkvbdu4	46	138	extended	extended	ADJ
cord-189434-nrkvbdu4	46	139	state	state	NOUN
cord-189434-nrkvbdu4	46	140	space	space	NOUN
cord-189434-nrkvbdu4	46	141	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	142	then	then	ADV
cord-189434-nrkvbdu4	46	143	renders	render	VERB
cord-189434-nrkvbdu4	46	144	the	the	DET
cord-189434-nrkvbdu4	46	145	stationarity	stationarity	NOUN
cord-189434-nrkvbdu4	46	146	conditions	condition	NOUN
cord-189434-nrkvbdu4	46	147	of	of	ADP
cord-189434-nrkvbdu4	46	148	the	the	DET
cord-189434-nrkvbdu4	46	149	corresponding	corresponding	ADJ
cord-189434-nrkvbdu4	46	150	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	46	151	's	's	PART
cord-189434-nrkvbdu4	46	152	principle	principle	NOUN
cord-189434-nrkvbdu4	46	153	as	as	ADP
cord-189434-nrkvbdu4	46	154	,	,	PUNCT
cord-189434-nrkvbdu4	46	155	the	the	DET
cord-189434-nrkvbdu4	46	156	euler	euler	ADJ
cord-189434-nrkvbdu4	46	157	-	-	PUNCT
cord-189434-nrkvbdu4	46	158	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	46	159	equations	equation	NOUN
cord-189434-nrkvbdu4	46	160	thus	thus	ADV
cord-189434-nrkvbdu4	46	161	follow	follow	VERB
cord-189434-nrkvbdu4	46	162	as	as	ADP
cord-189434-nrkvbdu4	46	163	unfolding	unfold	VERB
cord-189434-nrkvbdu4	46	164	the	the	DET
cord-189434-nrkvbdu4	46	165	compact	compact	ADJ
cord-189434-nrkvbdu4	46	166	symbolic	symbolic	ADJ
cord-189434-nrkvbdu4	46	167	notation	notation	NOUN
cord-189434-nrkvbdu4	46	168	,	,	PUNCT
cord-189434-nrkvbdu4	46	169	these	these	PRON
cord-189434-nrkvbdu4	46	170	expand	expand	VERB
cord-189434-nrkvbdu4	46	171	concretely	concretely	ADV
cord-189434-nrkvbdu4	46	172	into	into	ADP
cord-189434-nrkvbdu4	46	173	the	the	DET
cord-189434-nrkvbdu4	46	174	euler	euler	VERB
cord-189434-nrkvbdu4	46	175	-	-	PUNCT
cord-189434-nrkvbdu4	46	176	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	46	177	equations	equation	NOUN
cord-189434-nrkvbdu4	46	178	in	in	ADP
cord-189434-nrkvbdu4	46	179	eq	eq	PROPN
cord-189434-nrkvbdu4	46	180	.	.	PROPN
cord-189434-nrkvbdu4	46	181	29	29	NUM
cord-189434-nrkvbdu4	46	182	are	be	AUX
cord-189434-nrkvbdu4	46	183	next	next	ADJ
cord-189434-nrkvbdu4	46	184	re	re	ADJ
cord-189434-nrkvbdu4	46	185	-	-	VERB
cord-189434-nrkvbdu4	46	186	formulated	formulate	VERB
cord-189434-nrkvbdu4	46	187	by	by	ADP
cord-189434-nrkvbdu4	46	188	recalling	recall	VERB
cord-189434-nrkvbdu4	46	189	that	that	SCONJ
cord-189434-nrkvbdu4	46	190	due	due	ADP
cord-189434-nrkvbdu4	46	191	to	to	ADP
cord-189434-nrkvbdu4	46	192	the	the	DET
cord-189434-nrkvbdu4	46	193	skewsymmetry	skewsymmetry	NOUN
cord-189434-nrkvbdu4	46	194	of	of	ADP
cord-189434-nrkvbdu4	46	195	the	the	DET
cord-189434-nrkvbdu4	46	196	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	46	197	matrix	matrix	NOUN
cord-189434-nrkvbdu4	46	198	,	,	PUNCT
cord-189434-nrkvbdu4	46	199	finally	finally	ADV
cord-189434-nrkvbdu4	46	200	,	,	PUNCT
cord-189434-nrkvbdu4	46	201	with	with	SCONJ
cord-189434-nrkvbdu4	46	202	j	j	PROPN
cord-189434-nrkvbdu4	46	203	2	2	NUM
cord-189434-nrkvbdu4	46	204	=	=	SYM
cord-189434-nrkvbdu4	46	205	−i	−i	PROPN
cord-189434-nrkvbdu4	46	206	,	,	PUNCT
cord-189434-nrkvbdu4	46	207	the	the	DET
cord-189434-nrkvbdu4	46	208	re	re	VERB
cord-189434-nrkvbdu4	46	209	-	-	ADJ
cord-189434-nrkvbdu4	46	210	formulated	formulate	VERB
cord-189434-nrkvbdu4	46	211	euler	euler	NOUN
cord-189434-nrkvbdu4	46	212	-	-	PUNCT
cord-189434-nrkvbdu4	46	213	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	46	214	equations	equation	NOUN
cord-189434-nrkvbdu4	46	215	in	in	ADP
cord-189434-nrkvbdu4	46	216	eq	eq	PROPN
cord-189434-nrkvbdu4	46	217	.	.	PROPN
cord-189434-nrkvbdu4	46	218	31	31	NUM
cord-189434-nrkvbdu4	46	219	are	be	AUX
cord-189434-nrkvbdu4	46	220	modified	modify	VERB
cord-189434-nrkvbdu4	46	221	into	into	ADP
cord-189434-nrkvbdu4	46	222	obviously	obviously	ADV
cord-189434-nrkvbdu4	46	223	,	,	PUNCT
cord-189434-nrkvbdu4	46	224	this	this	DET
cord-189434-nrkvbdu4	46	225	format	format	NOUN
cord-189434-nrkvbdu4	46	226	recovers	recover	VERB
cord-189434-nrkvbdu4	46	227	the	the	DET
cord-189434-nrkvbdu4	46	228	relation	relation	NOUN
cord-189434-nrkvbdu4	46	229	between	between	ADP
cord-189434-nrkvbdu4	46	230	the	the	DET
cord-189434-nrkvbdu4	46	231	gradient	gradient	ADJ
cord-189434-nrkvbdu4	46	232	g(q	g(q	PROPN
cord-189434-nrkvbdu4	46	233	)	)	PUNCT
cord-189434-nrkvbdu4	46	234	∈	∈	NOUN
cord-189434-nrkvbdu4	46	235	r	r	NOUN
cord-189434-nrkvbdu4	46	236	2	2	NUM
cord-189434-nrkvbdu4	46	237	of	of	ADP
cord-189434-nrkvbdu4	46	238	the	the	DET
cord-189434-nrkvbdu4	46	239	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	46	240	h(q	h(q	ADV
cord-189434-nrkvbdu4	46	241	)	)	PUNCT
cord-189434-nrkvbdu4	46	242	(	(	PUNCT
cord-189434-nrkvbdu4	46	243	in	in	ADP
cord-189434-nrkvbdu4	46	244	extended	extend	VERB
cord-189434-nrkvbdu4	46	245	state	state	NOUN
cord-189434-nrkvbdu4	46	246	space	space	NOUN
cord-189434-nrkvbdu4	46	247	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	46	248	)	)	PUNCT
cord-189434-nrkvbdu4	46	249	and	and	CCONJ
cord-189434-nrkvbdu4	46	250	the	the	DET
cord-189434-nrkvbdu4	46	251	forcing	force	VERB
cord-189434-nrkvbdu4	46	252	term	term	NOUN
cord-189434-nrkvbdu4	46	253	f	f	X
cord-189434-nrkvbdu4	46	254	(	(	PUNCT
cord-189434-nrkvbdu4	46	255	q	q	NOUN
cord-189434-nrkvbdu4	46	256	)	)	PUNCT
cord-189434-nrkvbdu4	46	257	∈	∈	NOUN
cord-189434-nrkvbdu4	46	258	r	r	NOUN
cord-189434-nrkvbdu4	46	259	2	2	NUM
cord-189434-nrkvbdu4	46	260	already	already	ADV
cord-189434-nrkvbdu4	46	261	established	establish	VERB
cord-189434-nrkvbdu4	46	262	previously	previously	ADV
cord-189434-nrkvbdu4	46	263	in	in	ADP
cord-189434-nrkvbdu4	46	264	eq	eq	PROPN
cord-189434-nrkvbdu4	46	265	.	.	PROPN
cord-189434-nrkvbdu4	46	266	15	15	NUM
cord-189434-nrkvbdu4	46	267	.	.	PUNCT
cord-189434-nrkvbdu4	47	1	likewise	likewise	ADV
cord-189434-nrkvbdu4	47	2	,	,	PUNCT
cord-189434-nrkvbdu4	47	3	exchanging	exchange	VERB
cord-189434-nrkvbdu4	47	4	the	the	DET
cord-189434-nrkvbdu4	47	5	time	time	NOUN
cord-189434-nrkvbdu4	47	6	derivative	derivative	ADJ
cord-189434-nrkvbdu4	47	7	to	to	ADP
cord-189434-nrkvbdu4	47	8	the	the	DET
cord-189434-nrkvbdu4	47	9	one	one	NOUN
cord-189434-nrkvbdu4	47	10	with	with	ADP
cord-189434-nrkvbdu4	47	11	respect	respect	NOUN
cord-189434-nrkvbdu4	47	12	to	to	ADP
cord-189434-nrkvbdu4	47	13	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	47	14	time	time	NOUN
cord-189434-nrkvbdu4	47	15	t	t	PRON
cord-189434-nrkvbdu4	47	16	results	result	VERB
cord-189434-nrkvbdu4	47	17	again	again	ADV
cord-189434-nrkvbdu4	47	18	in	in	ADP
cord-189434-nrkvbdu4	47	19	a	a	DET
cord-189434-nrkvbdu4	47	20	formulation	formulation	NOUN
cord-189434-nrkvbdu4	47	21	with	with	ADP
cord-189434-nrkvbdu4	47	22	non	non	ADJ
cord-189434-nrkvbdu4	47	23	-	-	ADJ
cord-189434-nrkvbdu4	47	24	constant	constant	ADJ
cord-189434-nrkvbdu4	47	25	,	,	PUNCT
cord-189434-nrkvbdu4	47	26	coordinate	coordinate	VERB
cord-189434-nrkvbdu4	47	27	dependent	dependent	ADJ
cord-189434-nrkvbdu4	47	28	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	47	29	matrix	matrix	NOUN
cord-189434-nrkvbdu4	47	30	[	[	X
cord-189434-nrkvbdu4	47	31	si	si	X
cord-189434-nrkvbdu4	47	32	]	]	X
cord-189434-nrkvbdu4	47	33	j	j	X
cord-189434-nrkvbdu4	47	34	on	on	ADP
cord-189434-nrkvbdu4	47	35	a	a	DET
cord-189434-nrkvbdu4	47	36	non	non	ADJ
cord-189434-nrkvbdu4	47	37	-	-	ADJ
cord-189434-nrkvbdu4	47	38	flat	flat	ADJ
cord-189434-nrkvbdu4	47	39	manifold	manifold	ADJ
cord-189434-nrkvbdu4	47	40	.	.	PUNCT
cord-189434-nrkvbdu4	48	1	for	for	ADP
cord-189434-nrkvbdu4	48	2	academic	academic	ADJ
cord-189434-nrkvbdu4	48	3	curiosity	curiosity	NOUN
cord-189434-nrkvbdu4	48	4	it	it	PRON
cord-189434-nrkvbdu4	48	5	is	be	AUX
cord-189434-nrkvbdu4	48	6	also	also	ADV
cord-189434-nrkvbdu4	48	7	interesting	interesting	ADJ
cord-189434-nrkvbdu4	48	8	to	to	PART
cord-189434-nrkvbdu4	48	9	consider	consider	VERB
cord-189434-nrkvbdu4	48	10	extended	extended	ADJ
cord-189434-nrkvbdu4	48	11	phase	phase	NOUN
cord-189434-nrkvbdu4	48	12	space	space	NOUN
cord-189434-nrkvbdu4	48	13	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	48	14	q	q	INTJ
cord-189434-nrkvbdu4	48	15	,	,	PUNCT
cord-189434-nrkvbdu4	48	16	i.e.	i.e.	X
cord-189434-nrkvbdu4	48	17	the	the	DET
cord-189434-nrkvbdu4	48	18	generalized	generalized	ADJ
cord-189434-nrkvbdu4	48	19	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	48	20	jointly	jointly	ADV
cord-189434-nrkvbdu4	48	21	defined	define	VERB
cord-189434-nrkvbdu4	48	22	as	as	ADP
cord-189434-nrkvbdu4	48	23	the	the	DET
cord-189434-nrkvbdu4	48	24	stock	stock	NOUN
cord-189434-nrkvbdu4	48	25	of	of	ADP
cord-189434-nrkvbdu4	48	26	individuals	individual	NOUN
cord-189434-nrkvbdu4	48	27	in	in	ADP
cord-189434-nrkvbdu4	48	28	the	the	DET
cord-189434-nrkvbdu4	48	29	infected	infected	ADJ
cord-189434-nrkvbdu4	48	30	and	and	CCONJ
cord-189434-nrkvbdu4	48	31	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	48	32	compartments	compartment	NOUN
cord-189434-nrkvbdu4	48	33	,	,	PUNCT
cord-189434-nrkvbdu4	48	34	and	and	CCONJ
cord-189434-nrkvbdu4	48	35	p	p	NOUN
cord-189434-nrkvbdu4	48	36	,	,	PUNCT
cord-189434-nrkvbdu4	48	37	i.e.	i.e.	X
cord-189434-nrkvbdu4	48	38	heretofore	heretofore	ADP
cord-189434-nrkvbdu4	48	39	undefined	undefined	ADJ
cord-189434-nrkvbdu4	48	40	generalized	generalized	ADJ
cord-189434-nrkvbdu4	48	41	momenta	momenta	NOUN
cord-189434-nrkvbdu4	48	42	,	,	PUNCT
cord-189434-nrkvbdu4	48	43	collectively	collectively	ADV
cord-189434-nrkvbdu4	48	44	assembled	assemble	VERB
cord-189434-nrkvbdu4	48	45	in	in	ADP
cord-189434-nrkvbdu4	48	46	the	the	DET
cord-189434-nrkvbdu4	48	47	column	column	NOUN
cord-189434-nrkvbdu4	48	48	matrix	matrix	NOUN
cord-189434-nrkvbdu4	48	49	z	z	NOUN
cord-189434-nrkvbdu4	48	50	∈	∈	NOUN
cord-189434-nrkvbdu4	48	51	r	r	NOUN
cord-189434-nrkvbdu4	48	52	4	4	NUM
cord-189434-nrkvbdu4	48	53	,	,	PUNCT
cord-189434-nrkvbdu4	48	54	to	to	PART
cord-189434-nrkvbdu4	48	55	span	span	VERB
cord-189434-nrkvbdu4	48	56	the	the	DET
cord-189434-nrkvbdu4	48	57	four	four	NUM
cord-189434-nrkvbdu4	48	58	-	-	PUNCT
cord-189434-nrkvbdu4	48	59	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	48	60	state	state	NOUN
cord-189434-nrkvbdu4	48	61	space	space	NOUN
cord-189434-nrkvbdu4	48	62	è	è	PROPN
cord-189434-nrkvbdu4	48	63	,	,	PUNCT
cord-189434-nrkvbdu4	48	64	thus	thus	ADV
cord-189434-nrkvbdu4	48	65	a	a	DET
cord-189434-nrkvbdu4	48	66	legendre	legendre	NOUN
cord-189434-nrkvbdu4	48	67	transformation	transformation	NOUN
cord-189434-nrkvbdu4	48	68	of	of	ADP
cord-189434-nrkvbdu4	48	69	the	the	DET
cord-189434-nrkvbdu4	48	70	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	48	71	in	in	ADP
cord-189434-nrkvbdu4	48	72	extended	extended	ADJ
cord-189434-nrkvbdu4	48	73	state	state	NOUN
cord-189434-nrkvbdu4	48	74	space	space	NOUN
cord-189434-nrkvbdu4	48	75	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	48	76	from	from	ADP
cord-189434-nrkvbdu4	48	77	eq	eq	PROPN
cord-189434-nrkvbdu4	48	78	.	.	PROPN
cord-189434-nrkvbdu4	48	79	25	25	NUM
cord-189434-nrkvbdu4	48	80	defines	define	VERB
cord-189434-nrkvbdu4	48	81	the	the	DET
cord-189434-nrkvbdu4	48	82	associated	associated	ADJ
cord-189434-nrkvbdu4	48	83	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	48	84	the	the	DET
cord-189434-nrkvbdu4	48	85	corresponding	corresponding	ADJ
cord-189434-nrkvbdu4	48	86	supremum	supremum	ADJ
cord-189434-nrkvbdu4	48	87	condition	condition	NOUN
cord-189434-nrkvbdu4	48	88	identifies	identify	VERB
cord-189434-nrkvbdu4	48	89	p	p	NOUN
cord-189434-nrkvbdu4	48	90	with	with	ADP
cord-189434-nrkvbdu4	48	91	the	the	DET
cord-189434-nrkvbdu4	48	92	derivative	derivative	ADJ
cord-189434-nrkvbdu4	48	93	∂	∂	PROPN
cord-189434-nrkvbdu4	48	94	q	q	NOUN
cord-189434-nrkvbdu4	48	95	•	•	PUNCT
cord-189434-nrkvbdu4	48	96	l(q	l(q	PROPN
cord-189434-nrkvbdu4	48	97	,	,	PUNCT
cord-189434-nrkvbdu4	48	98	q	q	NOUN
cord-189434-nrkvbdu4	48	99	•	•	PUNCT
cord-189434-nrkvbdu4	48	100	)	)	PUNCT
cord-189434-nrkvbdu4	48	101	of	of	ADP
cord-189434-nrkvbdu4	48	102	the	the	DET
cord-189434-nrkvbdu4	48	103	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	48	104	l(q	l(q	PROPN
cord-189434-nrkvbdu4	48	105	,	,	PUNCT
cord-189434-nrkvbdu4	48	106	q	q	NOUN
cord-189434-nrkvbdu4	48	107	•	•	PUNCT
cord-189434-nrkvbdu4	48	108	)	)	PUNCT
cord-189434-nrkvbdu4	48	109	in	in	ADP
cord-189434-nrkvbdu4	48	110	extended	extend	VERB
cord-189434-nrkvbdu4	48	111	state	state	NOUN
cord-189434-nrkvbdu4	48	112	space	space	NOUN
cord-189434-nrkvbdu4	48	113	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	48	114	from	from	ADP
cord-189434-nrkvbdu4	48	115	eq	eq	PROPN
cord-189434-nrkvbdu4	48	116	.	.	PROPN
cord-189434-nrkvbdu4	48	117	25	25	NUM
cord-189434-nrkvbdu4	48	118	with	with	ADP
cord-189434-nrkvbdu4	48	119	respect	respect	NOUN
cord-189434-nrkvbdu4	48	120	to	to	ADP
cord-189434-nrkvbdu4	48	121	the	the	DET
cord-189434-nrkvbdu4	48	122	time	time	NOUN
cord-189434-nrkvbdu4	48	123	reparameterized	reparameterize	VERB
cord-189434-nrkvbdu4	48	124	rate	rate	NOUN
cord-189434-nrkvbdu4	48	125	of	of	ADP
cord-189434-nrkvbdu4	48	126	the	the	DET
cord-189434-nrkvbdu4	48	127	generalized	generalized	ADJ
cord-189434-nrkvbdu4	48	128	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	48	129	q	q	NOUN
cord-189434-nrkvbdu4	48	130	•	•	PUNCT
cord-189434-nrkvbdu4	48	131	,	,	PUNCT
cord-189434-nrkvbdu4	48	132	and	and	CCONJ
cord-189434-nrkvbdu4	48	133	renders	render	NOUN
cord-189434-nrkvbdu4	48	134	as	as	ADP
cord-189434-nrkvbdu4	48	135	a	a	DET
cord-189434-nrkvbdu4	48	136	result	result	NOUN
cord-189434-nrkvbdu4	48	137	,	,	PUNCT
cord-189434-nrkvbdu4	48	138	p	p	NOUN
cord-189434-nrkvbdu4	48	139	does	do	AUX
cord-189434-nrkvbdu4	48	140	not	not	PART
cord-189434-nrkvbdu4	48	141	depend	depend	VERB
cord-189434-nrkvbdu4	48	142	on	on	ADP
cord-189434-nrkvbdu4	48	143	q	q	NOUN
cord-189434-nrkvbdu4	48	144	•	•	X
cord-189434-nrkvbdu4	48	145	,	,	PUNCT
cord-189434-nrkvbdu4	48	146	thus	thus	ADV
cord-189434-nrkvbdu4	48	147	identifying	identify	VERB
cord-189434-nrkvbdu4	48	148	the	the	DET
cord-189434-nrkvbdu4	48	149	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	48	150	l(q	l(q	PROPN
cord-189434-nrkvbdu4	48	151	,	,	PUNCT
cord-189434-nrkvbdu4	48	152	q	q	NOUN
cord-189434-nrkvbdu4	48	153	•	•	PUNCT
cord-189434-nrkvbdu4	48	154	)	)	PUNCT
cord-189434-nrkvbdu4	48	155	in	in	ADP
cord-189434-nrkvbdu4	48	156	eq	eq	PROPN
cord-189434-nrkvbdu4	48	157	.	.	PROPN
cord-189434-nrkvbdu4	48	158	25	25	NUM
cord-189434-nrkvbdu4	48	159	as	as	ADV
cord-189434-nrkvbdu4	48	160	degenerate	degenerate	ADJ
cord-189434-nrkvbdu4	48	161	in	in	ADP
cord-189434-nrkvbdu4	48	162	the	the	DET
cord-189434-nrkvbdu4	48	163	sense	sense	NOUN
cord-189434-nrkvbdu4	48	164	of	of	ADP
cord-189434-nrkvbdu4	48	165	the	the	DET
cord-189434-nrkvbdu4	48	166	dirac	dirac	PROPN
cord-189434-nrkvbdu4	48	167	's	's	PART
cord-189434-nrkvbdu4	48	168	generalized	generalized	ADJ
cord-189434-nrkvbdu4	48	169	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	48	170	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	48	171	[	[	PUNCT
cord-189434-nrkvbdu4	48	172	6	6	NUM
cord-189434-nrkvbdu4	48	173	]	]	PUNCT
cord-189434-nrkvbdu4	48	174	.	.	PUNCT
cord-189434-nrkvbdu4	49	1	consequently	consequently	ADV
cord-189434-nrkvbdu4	49	2	,	,	PUNCT
cord-189434-nrkvbdu4	49	3	with	with	ADP
cord-189434-nrkvbdu4	49	4	q	q	X
cord-189434-nrkvbdu4	49	5	·	·	PUNCT
cord-189434-nrkvbdu4	49	6	j	j	PROPN
cord-189434-nrkvbdu4	49	7	t	t	PROPN
cord-189434-nrkvbdu4	49	8	=	=	SYM
cord-189434-nrkvbdu4	49	9	j	j	X
cord-189434-nrkvbdu4	49	10	·	·	PUNCT
cord-189434-nrkvbdu4	49	11	q	q	PROPN
cord-189434-nrkvbdu4	49	12	and	and	CCONJ
cord-189434-nrkvbdu4	49	13	j	j	NOUN
cord-189434-nrkvbdu4	49	14	2	2	NUM
cord-189434-nrkvbdu4	49	15	=	=	PROPN
cord-189434-nrkvbdu4	49	16	−i	−i	PROPN
cord-189434-nrkvbdu4	49	17	,	,	PUNCT
cord-189434-nrkvbdu4	49	18	an	an	DET
cord-189434-nrkvbdu4	49	19	additional	additional	ADJ
cord-189434-nrkvbdu4	49	20	constraint	constraint	NOUN
cord-189434-nrkvbdu4	49	21	for	for	ADP
cord-189434-nrkvbdu4	49	22	the	the	DET
cord-189434-nrkvbdu4	49	23	extended	extended	ADJ
cord-189434-nrkvbdu4	49	24	phase	phase	NOUN
cord-189434-nrkvbdu4	49	25	space	space	NOUN
cord-189434-nrkvbdu4	49	26	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	49	27	emerges	emerge	VERB
cord-189434-nrkvbdu4	49	28	the	the	DET
cord-189434-nrkvbdu4	49	29	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	49	30	h(q	h(q	ADV
cord-189434-nrkvbdu4	49	31	,	,	PUNCT
cord-189434-nrkvbdu4	49	32	p	p	NOUN
cord-189434-nrkvbdu4	49	33	)	)	PUNCT
cord-189434-nrkvbdu4	49	34	in	in	ADP
cord-189434-nrkvbdu4	49	35	extended	extended	ADJ
cord-189434-nrkvbdu4	49	36	phase	phase	NOUN
cord-189434-nrkvbdu4	49	37	space	space	NOUN
cord-189434-nrkvbdu4	49	38	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	49	39	thus	thus	ADV
cord-189434-nrkvbdu4	49	40	follows	follow	VERB
cord-189434-nrkvbdu4	49	41	from	from	ADP
cord-189434-nrkvbdu4	49	42	legendre	legendre	PROPN
cord-189434-nrkvbdu4	49	43	transformation	transformation	NOUN
cord-189434-nrkvbdu4	49	44	by	by	ADP
cord-189434-nrkvbdu4	49	45	incorporating	incorporate	VERB
cord-189434-nrkvbdu4	49	46	the	the	DET
cord-189434-nrkvbdu4	49	47	constraint	constraint	NOUN
cord-189434-nrkvbdu4	49	48	via	via	ADP
cord-189434-nrkvbdu4	49	49	the	the	DET
cord-189434-nrkvbdu4	49	50	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	49	51	multiplier	multipli	ADJ
cord-189434-nrkvbdu4	49	52	λ	λ	PROPN
cord-189434-nrkvbdu4	49	53	,	,	PUNCT
cord-189434-nrkvbdu4	49	54	i.e.	i.e.	X
cord-189434-nrkvbdu4	49	55	taking	take	VERB
cord-189434-nrkvbdu4	49	56	into	into	ADP
cord-189434-nrkvbdu4	49	57	account	account	NOUN
cord-189434-nrkvbdu4	49	58	the	the	DET
cord-189434-nrkvbdu4	49	59	explicit	explicit	ADJ
cord-189434-nrkvbdu4	49	60	form	form	NOUN
cord-189434-nrkvbdu4	49	61	of	of	ADP
cord-189434-nrkvbdu4	49	62	the	the	DET
cord-189434-nrkvbdu4	49	63	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	49	64	l(q	l(q	PROPN
cord-189434-nrkvbdu4	49	65	,	,	PUNCT
cord-189434-nrkvbdu4	49	66	q	q	NOUN
cord-189434-nrkvbdu4	49	67	•	•	PUNCT
cord-189434-nrkvbdu4	49	68	)	)	PUNCT
cord-189434-nrkvbdu4	49	69	in	in	ADP
cord-189434-nrkvbdu4	49	70	extended	extend	VERB
cord-189434-nrkvbdu4	49	71	state	state	NOUN
cord-189434-nrkvbdu4	49	72	space	space	NOUN
cord-189434-nrkvbdu4	49	73	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	49	74	from	from	ADP
cord-189434-nrkvbdu4	49	75	eq	eq	PROPN
cord-189434-nrkvbdu4	49	76	.	.	PROPN
cord-189434-nrkvbdu4	49	77	25	25	NUM
cord-189434-nrkvbdu4	49	78	then	then	ADV
cord-189434-nrkvbdu4	49	79	renders	render	VERB
cord-189434-nrkvbdu4	49	80	the	the	DET
cord-189434-nrkvbdu4	49	81	explicit	explicit	ADJ
cord-189434-nrkvbdu4	49	82	representation	representation	NOUN
cord-189434-nrkvbdu4	49	83	of	of	ADP
cord-189434-nrkvbdu4	49	84	the	the	DET
cord-189434-nrkvbdu4	49	85	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	49	86	h(q	h(q	ADV
cord-189434-nrkvbdu4	49	87	,	,	PUNCT
cord-189434-nrkvbdu4	49	88	p	p	NOUN
cord-189434-nrkvbdu4	49	89	)	)	PUNCT
cord-189434-nrkvbdu4	49	90	in	in	ADP
cord-189434-nrkvbdu4	49	91	extended	extended	ADJ
cord-189434-nrkvbdu4	49	92	phase	phase	NOUN
cord-189434-nrkvbdu4	49	93	space	space	NOUN
cord-189434-nrkvbdu4	49	94	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	49	95	invoking	invoke	VERB
cord-189434-nrkvbdu4	49	96	∂	∂	PROPN
cord-189434-nrkvbdu4	49	97	q	q	NOUN
cord-189434-nrkvbdu4	49	98	c(q	c(q	PROPN
cord-189434-nrkvbdu4	49	99	,	,	PUNCT
cord-189434-nrkvbdu4	49	100	p	p	PROPN
cord-189434-nrkvbdu4	49	101	)	)	PUNCT
cord-189434-nrkvbdu4	50	1	=	=	NOUN
cord-189434-nrkvbdu4	51	1	i	i	PRON
cord-189434-nrkvbdu4	51	2	and	and	CCONJ
cord-189434-nrkvbdu4	51	3	∂	∂	PROPN
cord-189434-nrkvbdu4	51	4	p	p	PROPN
cord-189434-nrkvbdu4	51	5	c(q	c(q	PROPN
cord-189434-nrkvbdu4	51	6	,	,	PUNCT
cord-189434-nrkvbdu4	51	7	p	p	PROPN
cord-189434-nrkvbdu4	51	8	)	)	PUNCT
cord-189434-nrkvbdu4	52	1	=	=	NOUN
cord-189434-nrkvbdu4	52	2	2j	2j	NUM
cord-189434-nrkvbdu4	52	3	,	,	PUNCT
cord-189434-nrkvbdu4	52	4	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	52	5	's	's	PART
cord-189434-nrkvbdu4	52	6	equations	equation	NOUN
cord-189434-nrkvbdu4	52	7	based	base	VERB
cord-189434-nrkvbdu4	52	8	on	on	ADP
cord-189434-nrkvbdu4	52	9	the	the	DET
cord-189434-nrkvbdu4	52	10	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	52	11	h(q	h(q	ADV
cord-189434-nrkvbdu4	52	12	,	,	PUNCT
cord-189434-nrkvbdu4	52	13	p	p	NOUN
cord-189434-nrkvbdu4	52	14	)	)	PUNCT
cord-189434-nrkvbdu4	52	15	in	in	ADP
cord-189434-nrkvbdu4	52	16	extended	extended	ADJ
cord-189434-nrkvbdu4	52	17	phase	phase	NOUN
cord-189434-nrkvbdu4	52	18	space	space	NOUN
cord-189434-nrkvbdu4	52	19	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	52	20	from	from	ADP
cord-189434-nrkvbdu4	52	21	eq	eq	PROPN
cord-189434-nrkvbdu4	52	22	.	.	PROPN
cord-189434-nrkvbdu4	52	23	39	39	NUM
cord-189434-nrkvbdu4	52	24	result	result	NOUN
cord-189434-nrkvbdu4	52	25	in	in	ADP
cord-189434-nrkvbdu4	52	26	the	the	DET
cord-189434-nrkvbdu4	52	27	unknown	unknown	ADJ
cord-189434-nrkvbdu4	52	28	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	52	29	multiplier	multipli	ADJ
cord-189434-nrkvbdu4	52	30	λ	λ	PROPN
cord-189434-nrkvbdu4	52	31	is	be	AUX
cord-189434-nrkvbdu4	52	32	determined	determine	VERB
cord-189434-nrkvbdu4	52	33	from	from	ADP
cord-189434-nrkvbdu4	52	34	the	the	DET
cord-189434-nrkvbdu4	52	35	consistency	consistency	NOUN
cord-189434-nrkvbdu4	52	36	condition	condition	NOUN
cord-189434-nrkvbdu4	52	37	for	for	ADP
cord-189434-nrkvbdu4	52	38	the	the	DET
cord-189434-nrkvbdu4	52	39	constraint	constraint	NOUN
cord-189434-nrkvbdu4	52	40	which	which	PRON
cord-189434-nrkvbdu4	52	41	,	,	PUNCT
cord-189434-nrkvbdu4	52	42	upon	upon	SCONJ
cord-189434-nrkvbdu4	52	43	introducing	introduce	VERB
cord-189434-nrkvbdu4	52	44	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	52	45	's	's	PART
cord-189434-nrkvbdu4	52	46	equations	equation	NOUN
cord-189434-nrkvbdu4	52	47	the	the	DET
cord-189434-nrkvbdu4	52	48	solution	solution	NOUN
cord-189434-nrkvbdu4	52	49	of	of	ADP
cord-189434-nrkvbdu4	52	50	the	the	DET
cord-189434-nrkvbdu4	52	51	consistency	consistency	NOUN
cord-189434-nrkvbdu4	52	52	condition	condition	NOUN
cord-189434-nrkvbdu4	52	53	then	then	ADV
cord-189434-nrkvbdu4	52	54	renders	render	VERB
cord-189434-nrkvbdu4	52	55	the	the	DET
cord-189434-nrkvbdu4	52	56	explicit	explicit	ADJ
cord-189434-nrkvbdu4	52	57	representation	representation	NOUN
cord-189434-nrkvbdu4	52	58	for	for	ADP
cord-189434-nrkvbdu4	52	59	the	the	DET
cord-189434-nrkvbdu4	52	60	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	52	61	multiplier	multiplier	ADV
cord-189434-nrkvbdu4	52	62	using	use	VERB
cord-189434-nrkvbdu4	52	63	again	again	ADV
cord-189434-nrkvbdu4	52	64	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	52	65	's	's	PART
cord-189434-nrkvbdu4	52	66	equation	equation	NOUN
cord-189434-nrkvbdu4	52	67	q	q	NOUN
cord-189434-nrkvbdu4	52	68	•	•	PUNCT
cord-189434-nrkvbdu4	52	69	=	=	SYM
cord-189434-nrkvbdu4	52	70	2λ	2λ	NUM
cord-189434-nrkvbdu4	52	71	·	·	PUNCT
cord-189434-nrkvbdu4	52	72	j	j	NOUN
cord-189434-nrkvbdu4	52	73	and	and	CCONJ
cord-189434-nrkvbdu4	52	74	exploiting	exploit	VERB
cord-189434-nrkvbdu4	52	75	the	the	DET
cord-189434-nrkvbdu4	52	76	skew	skew	PROPN
cord-189434-nrkvbdu4	52	77	-	-	PUNCT
cord-189434-nrkvbdu4	52	78	symmetry	symmetry	NOUN
cord-189434-nrkvbdu4	52	79	of	of	ADP
cord-189434-nrkvbdu4	52	80	the	the	DET
cord-189434-nrkvbdu4	52	81	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	52	82	matrix	matrix	NOUN
cord-189434-nrkvbdu4	52	83	,	,	PUNCT
cord-189434-nrkvbdu4	52	84	i.e.	i.e.	X
cord-189434-nrkvbdu4	52	85	λ	λ	PROPN
cord-189434-nrkvbdu4	52	86	·	·	PUNCT
cord-189434-nrkvbdu4	52	87	j	j	PROPN
cord-189434-nrkvbdu4	52	88	=	=	SYM
cord-189434-nrkvbdu4	52	89	−j	−j	X
cord-189434-nrkvbdu4	52	90	·	·	PUNCT
cord-189434-nrkvbdu4	52	91	λ	λ	PROPN
cord-189434-nrkvbdu4	52	92	,	,	PUNCT
cord-189434-nrkvbdu4	52	93	recovers	recover	VERB
cord-189434-nrkvbdu4	52	94	once	once	ADV
cord-189434-nrkvbdu4	52	95	more	more	ADV
cord-189434-nrkvbdu4	52	96	the	the	DET
cord-189434-nrkvbdu4	52	97	already	already	ADV
cord-189434-nrkvbdu4	52	98	previously	previously	ADV
cord-189434-nrkvbdu4	52	99	established	establish	VERB
cord-189434-nrkvbdu4	52	100	relation	relation	NOUN
cord-189434-nrkvbdu4	52	101	between	between	ADP
cord-189434-nrkvbdu4	52	102	the	the	DET
cord-189434-nrkvbdu4	52	103	gradient	gradient	ADJ
cord-189434-nrkvbdu4	52	104	g(q	g(q	PROPN
cord-189434-nrkvbdu4	52	105	)	)	PUNCT
cord-189434-nrkvbdu4	52	106	∈	∈	NOUN
cord-189434-nrkvbdu4	52	107	r	r	NOUN
cord-189434-nrkvbdu4	52	108	2	2	NUM
cord-189434-nrkvbdu4	52	109	of	of	ADP
cord-189434-nrkvbdu4	52	110	the	the	DET
cord-189434-nrkvbdu4	52	111	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	52	112	h(q	h(q	ADV
cord-189434-nrkvbdu4	52	113	)	)	PUNCT
cord-189434-nrkvbdu4	52	114	(	(	PUNCT
cord-189434-nrkvbdu4	52	115	in	in	ADP
cord-189434-nrkvbdu4	52	116	extended	extend	VERB
cord-189434-nrkvbdu4	52	117	state	state	NOUN
cord-189434-nrkvbdu4	52	118	space	space	NOUN
cord-189434-nrkvbdu4	52	119	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	52	120	)	)	PUNCT
cord-189434-nrkvbdu4	52	121	and	and	CCONJ
cord-189434-nrkvbdu4	52	122	the	the	DET
cord-189434-nrkvbdu4	52	123	forcing	force	VERB
cord-189434-nrkvbdu4	52	124	term	term	NOUN
cord-189434-nrkvbdu4	52	125	finally	finally	ADV
cord-189434-nrkvbdu4	52	126	,	,	PUNCT
cord-189434-nrkvbdu4	52	127	using	use	VERB
cord-189434-nrkvbdu4	52	128	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	52	129	's	's	PART
cord-189434-nrkvbdu4	52	130	equation	equation	NOUN
cord-189434-nrkvbdu4	52	131	p	p	PROPN
cord-189434-nrkvbdu4	52	132	•	•	PUNCT
cord-189434-nrkvbdu4	52	133	=	=	SYM
cord-189434-nrkvbdu4	52	134	−[g(q)+λ	−[g(q)+λ	X
cord-189434-nrkvbdu4	52	135	]	]	PUNCT
cord-189434-nrkvbdu4	52	136	identifies	identify	VERB
cord-189434-nrkvbdu4	52	137	eventually	eventually	ADV
cord-189434-nrkvbdu4	52	138	the	the	DET
cord-189434-nrkvbdu4	52	139	time	time	NOUN
cord-189434-nrkvbdu4	52	140	re	re	ADJ
cord-189434-nrkvbdu4	52	141	-	-	ADJ
cord-189434-nrkvbdu4	52	142	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	52	143	rate	rate	NOUN
cord-189434-nrkvbdu4	52	144	of	of	ADP
cord-189434-nrkvbdu4	52	145	the	the	DET
cord-189434-nrkvbdu4	52	146	heretofore	heretofore	ADJ
cord-189434-nrkvbdu4	52	147	unknown	unknown	ADJ
cord-189434-nrkvbdu4	52	148	generalized	generalized	ADJ
cord-189434-nrkvbdu4	52	149	momenta	momenta	NOUN
cord-189434-nrkvbdu4	52	150	as	as	ADP
cord-189434-nrkvbdu4	52	151	thereby	thereby	ADV
cord-189434-nrkvbdu4	52	152	,	,	PUNCT
cord-189434-nrkvbdu4	52	153	the	the	DET
cord-189434-nrkvbdu4	52	154	last	last	ADJ
cord-189434-nrkvbdu4	52	155	equality	equality	NOUN
cord-189434-nrkvbdu4	52	156	follows	follow	VERB
cord-189434-nrkvbdu4	52	157	from	from	ADP
cord-189434-nrkvbdu4	52	158	j	j	PROPN
cord-189434-nrkvbdu4	52	159	2	2	NUM
cord-189434-nrkvbdu4	52	160	=	=	NOUN
cord-189434-nrkvbdu4	52	161	−i	−i	NOUN
cord-189434-nrkvbdu4	52	162	and	and	CCONJ
cord-189434-nrkvbdu4	52	163	the	the	DET
cord-189434-nrkvbdu4	52	164	previous	previous	ADJ
cord-189434-nrkvbdu4	52	165	relation	relation	NOUN
cord-189434-nrkvbdu4	52	166	j	j	X
cord-189434-nrkvbdu4	52	167	·	·	PUNCT
cord-189434-nrkvbdu4	52	168	g(q	g(q	PROPN
cord-189434-nrkvbdu4	52	169	)	)	PUNCT
cord-189434-nrkvbdu4	52	170	=	=	NOUN
cord-189434-nrkvbdu4	52	171	f	f	PROPN
cord-189434-nrkvbdu4	52	172	(	(	PUNCT
cord-189434-nrkvbdu4	52	173	q	q	NOUN
cord-189434-nrkvbdu4	52	174	)	)	PUNCT
cord-189434-nrkvbdu4	52	175	.	.	PUNCT
cord-189434-nrkvbdu4	53	1	alternatively	alternatively	ADV
cord-189434-nrkvbdu4	53	2	,	,	PUNCT
cord-189434-nrkvbdu4	53	3	and	and	CCONJ
cord-189434-nrkvbdu4	53	4	again	again	ADV
cord-189434-nrkvbdu4	53	5	aiming	aim	VERB
cord-189434-nrkvbdu4	53	6	to	to	PART
cord-189434-nrkvbdu4	53	7	recast	recast	VERB
cord-189434-nrkvbdu4	53	8	the	the	DET
cord-189434-nrkvbdu4	53	9	basic	basic	ADJ
cord-189434-nrkvbdu4	53	10	sir	sir	NOUN
cord-189434-nrkvbdu4	53	11	model	model	NOUN
cord-189434-nrkvbdu4	53	12	into	into	ADP
cord-189434-nrkvbdu4	53	13	an	an	DET
cord-189434-nrkvbdu4	53	14	analytical	analytical	ADJ
cord-189434-nrkvbdu4	53	15	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	53	16	format	format	NOUN
cord-189434-nrkvbdu4	53	17	,	,	PUNCT
cord-189434-nrkvbdu4	53	18	it	it	PRON
cord-189434-nrkvbdu4	53	19	is	be	AUX
cord-189434-nrkvbdu4	53	20	proposed	propose	VERB
cord-189434-nrkvbdu4	53	21	,	,	PUNCT
cord-189434-nrkvbdu4	53	22	as	as	ADP
cord-189434-nrkvbdu4	53	23	a	a	DET
cord-189434-nrkvbdu4	53	24	second	second	ADJ
cord-189434-nrkvbdu4	53	25	option	option	NOUN
cord-189434-nrkvbdu4	53	26	,	,	PUNCT
cord-189434-nrkvbdu4	53	27	to	to	PART
cord-189434-nrkvbdu4	53	28	logarithmically	logarithmically	ADV
cord-189434-nrkvbdu4	53	29	transform	transform	VERB
cord-189434-nrkvbdu4	53	30	the	the	DET
cord-189434-nrkvbdu4	53	31	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	53	32	(	(	PUNCT
cord-189434-nrkvbdu4	53	33	or	or	CCONJ
cord-189434-nrkvbdu4	53	34	rather	rather	ADV
cord-189434-nrkvbdu4	53	35	the	the	DET
cord-189434-nrkvbdu4	53	36	independent	independent	ADJ
cord-189434-nrkvbdu4	53	37	variables	variable	NOUN
cord-189434-nrkvbdu4	53	38	)	)	PUNCT
cord-189434-nrkvbdu4	53	39	as	as	ADP
cord-189434-nrkvbdu4	53	40	i	i	PRON
cord-189434-nrkvbdu4	53	41	→	→	PUNCT
cord-189434-nrkvbdu4	53	42	i	i	PRON
cord-189434-nrkvbdu4	53	43	:	:	PUNCT
cord-189434-nrkvbdu4	53	44	=	=	PROPN
cord-189434-nrkvbdu4	54	1	ln	ln	VERB
cord-189434-nrkvbdu4	54	2	i	i	PRON
cord-189434-nrkvbdu4	54	3	and	and	CCONJ
cord-189434-nrkvbdu4	54	4	s	s	X
cord-189434-nrkvbdu4	54	5	→	→	PUNCT
cord-189434-nrkvbdu4	54	6	s	s	X
cord-189434-nrkvbdu4	54	7	:	:	PUNCT
cord-189434-nrkvbdu4	54	8	=	=	PROPN
cord-189434-nrkvbdu4	54	9	ln	ln	PROPN
cord-189434-nrkvbdu4	54	10	s.	s.	PROPN
cord-189434-nrkvbdu4	54	11	as	as	ADP
cord-189434-nrkvbdu4	54	12	a	a	DET
cord-189434-nrkvbdu4	54	13	result	result	NOUN
cord-189434-nrkvbdu4	54	14	,	,	PUNCT
cord-189434-nrkvbdu4	54	15	the	the	DET
cord-189434-nrkvbdu4	54	16	basic	basic	ADJ
cord-189434-nrkvbdu4	54	17	sir	sir	NOUN
cord-189434-nrkvbdu4	54	18	model	model	NOUN
cord-189434-nrkvbdu4	54	19	,	,	PUNCT
cord-189434-nrkvbdu4	54	20	re	re	NOUN
cord-189434-nrkvbdu4	54	21	-	-	NOUN
cord-189434-nrkvbdu4	54	22	parameterized	parameterize	VERB
cord-189434-nrkvbdu4	54	23	in	in	ADP
cord-189434-nrkvbdu4	54	24	terms	term	NOUN
cord-189434-nrkvbdu4	54	25	of	of	ADP
cord-189434-nrkvbdu4	54	26	logarithmically	logarithmically	ADV
cord-189434-nrkvbdu4	54	27	transformed	transform	VERB
cord-189434-nrkvbdu4	54	28	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	54	29	,	,	PUNCT
cord-189434-nrkvbdu4	54	30	however	however	ADV
cord-189434-nrkvbdu4	54	31	still	still	ADV
cord-189434-nrkvbdu4	54	32	in	in	ADP
cord-189434-nrkvbdu4	54	33	terms	term	NOUN
cord-189434-nrkvbdu4	54	34	of	of	ADP
cord-189434-nrkvbdu4	54	35	derivatives	derivative	NOUN
cord-189434-nrkvbdu4	54	36	with	with	ADP
cord-189434-nrkvbdu4	54	37	respect	respect	NOUN
cord-189434-nrkvbdu4	54	38	to	to	ADP
cord-189434-nrkvbdu4	54	39	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	54	40	time	time	NOUN
cord-189434-nrkvbdu4	54	41	t	t	PROPN
cord-189434-nrkvbdu4	54	42	,	,	PUNCT
cord-189434-nrkvbdu4	54	43	now	now	ADV
cord-189434-nrkvbdu4	54	44	reads	read	VERB
cord-189434-nrkvbdu4	54	45	exclusively	exclusively	ADV
cord-189434-nrkvbdu4	54	46	in	in	ADP
cord-189434-nrkvbdu4	54	47	the	the	DET
cord-189434-nrkvbdu4	54	48	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	54	49	stock	stock	NOUN
cord-189434-nrkvbdu4	54	50	of	of	ADP
cord-189434-nrkvbdu4	54	51	individuals	individual	NOUN
cord-189434-nrkvbdu4	54	52	in	in	ADP
cord-189434-nrkvbdu4	54	53	the	the	DET
cord-189434-nrkvbdu4	54	54	infected	infect	VERB
cord-189434-nrkvbdu4	54	55	compartment	compartment	NOUN
cord-189434-nrkvbdu4	54	56	.	.	PUNCT
cord-189434-nrkvbdu4	55	1	the	the	DET
cord-189434-nrkvbdu4	55	2	minimal	minimal	ADJ
cord-189434-nrkvbdu4	55	3	(	(	PUNCT
cord-189434-nrkvbdu4	55	4	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	55	5	)	)	PUNCT
cord-189434-nrkvbdu4	55	6	phase	phase	NOUN
cord-189434-nrkvbdu4	55	7	space	space	NOUN
cord-189434-nrkvbdu4	55	8	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	55	9	collectively	collectively	ADV
cord-189434-nrkvbdu4	55	10	assembled	assemble	VERB
cord-189434-nrkvbdu4	55	11	in	in	ADP
cord-189434-nrkvbdu4	55	12	the	the	DET
cord-189434-nrkvbdu4	55	13	column	column	NOUN
cord-189434-nrkvbdu4	55	14	matrix	matrix	NOUN
cord-189434-nrkvbdu4	55	15	z	z	NOUN
cord-189434-nrkvbdu4	55	16	∈	∈	NOUN
cord-189434-nrkvbdu4	55	17	r	r	NOUN
cord-189434-nrkvbdu4	55	18	2	2	NUM
cord-189434-nrkvbdu4	55	19	,	,	PUNCT
cord-189434-nrkvbdu4	55	20	i.e.	i.e.	X
cord-189434-nrkvbdu4	55	21	the	the	DET
cord-189434-nrkvbdu4	55	22	generalized	generalized	ADJ
cord-189434-nrkvbdu4	55	23	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	55	24	q	q	NOUN
cord-189434-nrkvbdu4	55	25	defined	define	VERB
cord-189434-nrkvbdu4	55	26	as	as	ADP
cord-189434-nrkvbdu4	55	27	the	the	DET
cord-189434-nrkvbdu4	55	28	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	55	29	stock	stock	NOUN
cord-189434-nrkvbdu4	55	30	of	of	ADP
cord-189434-nrkvbdu4	55	31	individuals	individual	NOUN
cord-189434-nrkvbdu4	55	32	in	in	ADP
cord-189434-nrkvbdu4	55	33	the	the	DET
cord-189434-nrkvbdu4	55	34	infected	infected	ADJ
cord-189434-nrkvbdu4	55	35	compartment	compartment	NOUN
cord-189434-nrkvbdu4	55	36	and	and	CCONJ
cord-189434-nrkvbdu4	55	37	the	the	DET
cord-189434-nrkvbdu4	55	38	generalized	generalized	ADJ
cord-189434-nrkvbdu4	55	39	momentum	momentum	NOUN
cord-189434-nrkvbdu4	55	40	p	p	PROPN
cord-189434-nrkvbdu4	55	41	defined	define	VERB
cord-189434-nrkvbdu4	55	42	as	as	ADP
cord-189434-nrkvbdu4	55	43	the	the	DET
cord-189434-nrkvbdu4	55	44	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	55	45	stock	stock	NOUN
cord-189434-nrkvbdu4	55	46	of	of	ADP
cord-189434-nrkvbdu4	55	47	individuals	individual	NOUN
cord-189434-nrkvbdu4	55	48	in	in	ADP
cord-189434-nrkvbdu4	55	49	the	the	DET
cord-189434-nrkvbdu4	55	50	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	55	51	compartment	compartment	NOUN
cord-189434-nrkvbdu4	55	52	,	,	PUNCT
cord-189434-nrkvbdu4	55	53	span	span	NOUN
cord-189434-nrkvbdu4	55	54	the	the	DET
cord-189434-nrkvbdu4	55	55	two	two	NUM
cord-189434-nrkvbdu4	55	56	-	-	PUNCT
cord-189434-nrkvbdu4	55	57	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	55	58	phase	phase	NOUN
cord-189434-nrkvbdu4	55	59	space	space	NOUN
cord-189434-nrkvbdu4	55	60	ô	ô	PROPN
cord-189434-nrkvbdu4	55	61	,	,	PUNCT
cord-189434-nrkvbdu4	55	62	thus	thus	ADV
cord-189434-nrkvbdu4	55	63	ô	ô	PROPN
cord-189434-nrkvbdu4	55	64	:	:	PUNCT
cord-189434-nrkvbdu4	55	65	=	=	X
cord-189434-nrkvbdu4	55	66	z	z	X
cord-189434-nrkvbdu4	55	67	:	:	PUNCT
cord-189434-nrkvbdu4	55	68	=	=	X
cord-189434-nrkvbdu4	55	69	q	q	NOUN
cord-189434-nrkvbdu4	55	70	p	p	NOUN
cord-189434-nrkvbdu4	55	71	:	:	PUNCT
cord-189434-nrkvbdu4	55	72	=	=	NOUN
cord-189434-nrkvbdu4	55	73	i	i	NOUN
cord-189434-nrkvbdu4	55	74	s	s	VERB
cord-189434-nrkvbdu4	55	75	.	.	PUNCT
cord-189434-nrkvbdu4	56	1	next	next	ADV
cord-189434-nrkvbdu4	56	2	,	,	PUNCT
cord-189434-nrkvbdu4	56	3	the	the	DET
cord-189434-nrkvbdu4	56	4	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	56	5	h(z	h(z	PROPN
cord-189434-nrkvbdu4	56	6	)	)	PUNCT
cord-189434-nrkvbdu4	56	7	in	in	ADP
cord-189434-nrkvbdu4	56	8	minimal	minimal	ADJ
cord-189434-nrkvbdu4	56	9	(	(	PUNCT
cord-189434-nrkvbdu4	56	10	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	56	11	)	)	PUNCT
cord-189434-nrkvbdu4	56	12	phase	phase	NOUN
cord-189434-nrkvbdu4	56	13	space	space	NOUN
cord-189434-nrkvbdu4	56	14	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	56	15	,	,	PUNCT
cord-189434-nrkvbdu4	56	16	which	which	PRON
cord-189434-nrkvbdu4	56	17	eventually	eventually	ADV
cord-189434-nrkvbdu4	56	18	results	result	VERB
cord-189434-nrkvbdu4	56	19	in	in	ADP
cord-189434-nrkvbdu4	56	20	the	the	DET
cord-189434-nrkvbdu4	56	21	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	56	22	re	re	ADJ
cord-189434-nrkvbdu4	56	23	-	-	ADJ
cord-189434-nrkvbdu4	56	24	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	56	25	sir	sir	PROPN
cord-189434-nrkvbdu4	56	26	model	model	NOUN
cord-189434-nrkvbdu4	56	27	from	from	ADP
cord-189434-nrkvbdu4	56	28	eq	eq	PROPN
cord-189434-nrkvbdu4	56	29	.	.	PROPN
cord-189434-nrkvbdu4	56	30	47	47	NUM
cord-189434-nrkvbdu4	56	31	,	,	PUNCT
cord-189434-nrkvbdu4	56	32	is	be	AUX
cord-189434-nrkvbdu4	56	33	identified	identify	VERB
cord-189434-nrkvbdu4	56	34	as	as	ADP
cord-189434-nrkvbdu4	56	35	as	as	ADP
cord-189434-nrkvbdu4	56	36	a	a	DET
cord-189434-nrkvbdu4	56	37	result	result	NOUN
cord-189434-nrkvbdu4	56	38	,	,	PUNCT
cord-189434-nrkvbdu4	56	39	the	the	DET
cord-189434-nrkvbdu4	56	40	corresponding	correspond	VERB
cord-189434-nrkvbdu4	56	41	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	56	42	equations	equation	NOUN
cord-189434-nrkvbdu4	56	43	deliver	deliver	VERB
cord-189434-nrkvbdu4	56	44	a	a	DET
cord-189434-nrkvbdu4	56	45	re	re	NOUN
cord-189434-nrkvbdu4	56	46	-	-	NOUN
cord-189434-nrkvbdu4	56	47	formulation	formulation	NOUN
cord-189434-nrkvbdu4	56	48	of	of	ADP
cord-189434-nrkvbdu4	56	49	eq	eq	PROPN
cord-189434-nrkvbdu4	56	50	.	.	PROPN
cord-189434-nrkvbdu4	56	51	47	47	NUM
cord-189434-nrkvbdu4	56	52	,	,	PUNCT
cord-189434-nrkvbdu4	56	53	i.e.	i.e.	X
cord-189434-nrkvbdu4	56	54	symbolic	symbolic	ADJ
cord-189434-nrkvbdu4	56	55	notation	notation	NOUN
cord-189434-nrkvbdu4	56	56	showcases	showcase	VERB
cord-189434-nrkvbdu4	56	57	clearly	clearly	ADV
cord-189434-nrkvbdu4	56	58	the	the	DET
cord-189434-nrkvbdu4	56	59	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	56	60	structure	structure	NOUN
cord-189434-nrkvbdu4	56	61	of	of	ADP
cord-189434-nrkvbdu4	56	62	the	the	DET
cord-189434-nrkvbdu4	56	63	(	(	PUNCT
cord-189434-nrkvbdu4	56	64	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	56	65	)	)	PUNCT
cord-189434-nrkvbdu4	56	66	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	56	67	reparameterized	reparameterize	VERB
cord-189434-nrkvbdu4	56	68	sir	sir	PROPN
cord-189434-nrkvbdu4	56	69	model	model	NOUN
cord-189434-nrkvbdu4	56	70	thereby	thereby	ADV
cord-189434-nrkvbdu4	56	71	,	,	PUNCT
cord-189434-nrkvbdu4	56	72	the	the	DET
cord-189434-nrkvbdu4	56	73	skew	skew	ADJ
cord-189434-nrkvbdu4	56	74	-	-	PUNCT
cord-189434-nrkvbdu4	56	75	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	56	76	j	j	PROPN
cord-189434-nrkvbdu4	56	77	∈	∈	PROPN
cord-189434-nrkvbdu4	56	78	r	r	NOUN
cord-189434-nrkvbdu4	57	1	2	2	NUM
cord-189434-nrkvbdu4	57	2	×	×	NOUN
cord-189434-nrkvbdu4	57	3	r	r	NOUN
cord-189434-nrkvbdu4	57	4	2	2	NUM
cord-189434-nrkvbdu4	57	5	denotes	denote	VERB
cord-189434-nrkvbdu4	57	6	the	the	DET
cord-189434-nrkvbdu4	57	7	appropriate	appropriate	ADJ
cord-189434-nrkvbdu4	57	8	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	57	9	matrix	matrix	NOUN
cord-189434-nrkvbdu4	57	10	in	in	ADP
cord-189434-nrkvbdu4	57	11	ô	ô	PROPN
cord-189434-nrkvbdu4	57	12	j	j	PROPN
cord-189434-nrkvbdu4	57	13	:	:	PUNCT
cord-189434-nrkvbdu4	57	14	=	=	NOUN
cord-189434-nrkvbdu4	57	15	0	0	NUM
cord-189434-nrkvbdu4	57	16	1	1	NUM
cord-189434-nrkvbdu4	57	17	−1	−1	NOUN
cord-189434-nrkvbdu4	57	18	0	0	NUM
cord-189434-nrkvbdu4	57	19	(	(	PUNCT
cord-189434-nrkvbdu4	57	20	54	54	NUM
cord-189434-nrkvbdu4	57	21	)	)	PUNCT
cord-189434-nrkvbdu4	57	22	with	with	ADP
cord-189434-nrkvbdu4	57	23	j	j	PROPN
cord-189434-nrkvbdu4	57	24	t	t	PROPN
cord-189434-nrkvbdu4	57	25	=	=	SYM
cord-189434-nrkvbdu4	57	26	−j	−j	PROPN
cord-189434-nrkvbdu4	57	27	and	and	CCONJ
cord-189434-nrkvbdu4	57	28	j	j	PROPN
cord-189434-nrkvbdu4	57	29	2	2	NUM
cord-189434-nrkvbdu4	57	30	=	=	X
cord-189434-nrkvbdu4	57	31	−i	−i	PROPN
cord-189434-nrkvbdu4	57	32	,	,	PUNCT
cord-189434-nrkvbdu4	57	33	whereby	whereby	SCONJ
cord-189434-nrkvbdu4	57	34	i	i	PRON
cord-189434-nrkvbdu4	57	35	∈	∈	VERB
cord-189434-nrkvbdu4	57	36	r	r	NOUN
cord-189434-nrkvbdu4	58	1	2	2	NUM
cord-189434-nrkvbdu4	59	1	×	×	NOUN
cord-189434-nrkvbdu4	59	2	r	r	NOUN
cord-189434-nrkvbdu4	59	3	2	2	NUM
cord-189434-nrkvbdu4	59	4	is	be	AUX
cord-189434-nrkvbdu4	59	5	the	the	DET
cord-189434-nrkvbdu4	59	6	common	common	ADJ
cord-189434-nrkvbdu4	59	7	unit	unit	NOUN
cord-189434-nrkvbdu4	59	8	matrix	matrix	NOUN
cord-189434-nrkvbdu4	59	9	in	in	ADP
cord-189434-nrkvbdu4	59	10	ô	ô	PROPN
cord-189434-nrkvbdu4	59	11	.	.	PUNCT
cord-189434-nrkvbdu4	60	1	the	the	DET
cord-189434-nrkvbdu4	60	2	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	3	structure	structure	NOUN
cord-189434-nrkvbdu4	60	4	in	in	ADP
cord-189434-nrkvbdu4	60	5	terms	term	NOUN
cord-189434-nrkvbdu4	60	6	of	of	ADP
cord-189434-nrkvbdu4	60	7	the	the	DET
cord-189434-nrkvbdu4	60	8	skew	skew	ADJ
cord-189434-nrkvbdu4	60	9	-	-	PUNCT
cord-189434-nrkvbdu4	60	10	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	60	11	j	j	PROPN
cord-189434-nrkvbdu4	60	12	clearly	clearly	ADV
cord-189434-nrkvbdu4	60	13	identifies	identify	VERB
cord-189434-nrkvbdu4	60	14	the	the	DET
cord-189434-nrkvbdu4	60	15	(	(	PUNCT
cord-189434-nrkvbdu4	60	16	autonomous	autonomous	ADJ
cord-189434-nrkvbdu4	60	17	)	)	PUNCT
cord-189434-nrkvbdu4	60	18	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	19	h(z	h(z	PROPN
cord-189434-nrkvbdu4	60	20	)	)	PUNCT
cord-189434-nrkvbdu4	60	21	in	in	ADP
cord-189434-nrkvbdu4	60	22	minimal	minimal	ADJ
cord-189434-nrkvbdu4	60	23	(	(	PUNCT
cord-189434-nrkvbdu4	60	24	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	60	25	)	)	PUNCT
cord-189434-nrkvbdu4	60	26	phase	phase	NOUN
cord-189434-nrkvbdu4	60	27	space	space	NOUN
cord-189434-nrkvbdu4	60	28	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	60	29	as	as	SCONJ
cord-189434-nrkvbdu4	60	30	first	first	ADV
cord-189434-nrkvbdu4	60	31	integral	integral	ADJ
cord-189434-nrkvbdu4	60	32	the	the	DET
cord-189434-nrkvbdu4	60	33	gradient	gradient	NOUN
cord-189434-nrkvbdu4	60	34	of	of	ADP
cord-189434-nrkvbdu4	60	35	the	the	DET
cord-189434-nrkvbdu4	60	36	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	37	h(z	h(z	PROPN
cord-189434-nrkvbdu4	60	38	)	)	PUNCT
cord-189434-nrkvbdu4	60	39	with	with	ADP
cord-189434-nrkvbdu4	60	40	respect	respect	NOUN
cord-189434-nrkvbdu4	60	41	to	to	ADP
cord-189434-nrkvbdu4	60	42	the	the	DET
cord-189434-nrkvbdu4	60	43	minimal	minimal	ADJ
cord-189434-nrkvbdu4	60	44	(	(	PUNCT
cord-189434-nrkvbdu4	60	45	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	60	46	)	)	PUNCT
cord-189434-nrkvbdu4	60	47	phase	phase	NOUN
cord-189434-nrkvbdu4	60	48	space	space	NOUN
cord-189434-nrkvbdu4	60	49	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	60	50	,	,	PUNCT
cord-189434-nrkvbdu4	60	51	abbreviated	abbreviate	VERB
cord-189434-nrkvbdu4	60	52	in	in	ADP
cord-189434-nrkvbdu4	60	53	the	the	DET
cord-189434-nrkvbdu4	60	54	sequel	sequel	NOUN
cord-189434-nrkvbdu4	60	55	as	as	ADP
cord-189434-nrkvbdu4	60	56	g(z	g(z	PROPN
cord-189434-nrkvbdu4	60	57	)	)	PUNCT
cord-189434-nrkvbdu4	60	58	∈	∈	NOUN
cord-189434-nrkvbdu4	60	59	r	r	NOUN
cord-189434-nrkvbdu4	60	60	2	2	NUM
cord-189434-nrkvbdu4	60	61	,	,	PUNCT
cord-189434-nrkvbdu4	60	62	computes	compute	NOUN
cord-189434-nrkvbdu4	60	63	as	as	ADP
cord-189434-nrkvbdu4	60	64	summarizing	summarize	VERB
cord-189434-nrkvbdu4	60	65	,	,	PUNCT
cord-189434-nrkvbdu4	60	66	the	the	DET
cord-189434-nrkvbdu4	60	67	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	60	68	re	re	NOUN
cord-189434-nrkvbdu4	60	69	-	-	ADJ
cord-189434-nrkvbdu4	60	70	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	60	71	sir	sir	PROPN
cord-189434-nrkvbdu4	60	72	model	model	PROPN
cord-189434-nrkvbdu4	60	73	obeys	obey	VERB
cord-189434-nrkvbdu4	60	74	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	75	structure	structure	NOUN
cord-189434-nrkvbdu4	60	76	and	and	CCONJ
cord-189434-nrkvbdu4	60	77	identifies	identify	VERB
cord-189434-nrkvbdu4	60	78	the	the	DET
cord-189434-nrkvbdu4	60	79	relation	relation	NOUN
cord-189434-nrkvbdu4	60	80	between	between	ADP
cord-189434-nrkvbdu4	60	81	the	the	DET
cord-189434-nrkvbdu4	60	82	gradient	gradient	ADJ
cord-189434-nrkvbdu4	60	83	g(z	g(z	PROPN
cord-189434-nrkvbdu4	60	84	)	)	PUNCT
cord-189434-nrkvbdu4	60	85	∈	∈	NOUN
cord-189434-nrkvbdu4	60	86	r	r	NOUN
cord-189434-nrkvbdu4	60	87	2	2	NUM
cord-189434-nrkvbdu4	60	88	of	of	ADP
cord-189434-nrkvbdu4	60	89	the	the	DET
cord-189434-nrkvbdu4	60	90	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	91	h(z	h(z	PROPN
cord-189434-nrkvbdu4	60	92	)	)	PUNCT
cord-189434-nrkvbdu4	60	93	in	in	ADP
cord-189434-nrkvbdu4	60	94	minimal	minimal	ADJ
cord-189434-nrkvbdu4	60	95	(	(	PUNCT
cord-189434-nrkvbdu4	60	96	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	60	97	)	)	PUNCT
cord-189434-nrkvbdu4	60	98	phase	phase	NOUN
cord-189434-nrkvbdu4	60	99	space	space	NOUN
cord-189434-nrkvbdu4	60	100	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	60	101	and	and	CCONJ
cord-189434-nrkvbdu4	60	102	the	the	DET
cord-189434-nrkvbdu4	60	103	forcing	force	VERB
cord-189434-nrkvbdu4	60	104	term	term	NOUN
cord-189434-nrkvbdu4	60	105	f	f	PROPN
cord-189434-nrkvbdu4	60	106	(	(	PUNCT
cord-189434-nrkvbdu4	60	107	z	z	NOUN
cord-189434-nrkvbdu4	60	108	)	)	PUNCT
cord-189434-nrkvbdu4	60	109	∈	∈	NOUN
cord-189434-nrkvbdu4	60	110	r	r	NOUN
cord-189434-nrkvbdu4	60	111	2	2	NUM
cord-189434-nrkvbdu4	60	112	as	as	SCONJ
cord-189434-nrkvbdu4	60	113	it	it	PRON
cord-189434-nrkvbdu4	60	114	is	be	AUX
cord-189434-nrkvbdu4	60	115	emphasized	emphasize	VERB
cord-189434-nrkvbdu4	60	116	that	that	SCONJ
cord-189434-nrkvbdu4	60	117	despite	despite	SCONJ
cord-189434-nrkvbdu4	60	118	the	the	DET
cord-189434-nrkvbdu4	60	119	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	60	120	nature	nature	NOUN
cord-189434-nrkvbdu4	60	121	of	of	ADP
cord-189434-nrkvbdu4	60	122	the	the	DET
cord-189434-nrkvbdu4	60	123	re	re	ADJ
cord-189434-nrkvbdu4	60	124	-	-	ADJ
cord-189434-nrkvbdu4	60	125	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	60	126	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	60	127	,	,	PUNCT
cord-189434-nrkvbdu4	60	128	here	here	ADV
cord-189434-nrkvbdu4	60	129	,	,	PUNCT
cord-189434-nrkvbdu4	60	130	as	as	ADP
cord-189434-nrkvbdu4	60	131	a	a	DET
cord-189434-nrkvbdu4	60	132	benefit	benefit	NOUN
cord-189434-nrkvbdu4	60	133	,	,	PUNCT
cord-189434-nrkvbdu4	60	134	the	the	DET
cord-189434-nrkvbdu4	60	135	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	60	136	structure	structure	NOUN
cord-189434-nrkvbdu4	60	137	involves	involve	VERB
cord-189434-nrkvbdu4	60	138	the	the	DET
cord-189434-nrkvbdu4	60	139	constant	constant	ADJ
cord-189434-nrkvbdu4	60	140	,	,	PUNCT
cord-189434-nrkvbdu4	60	141	coordinate	coordinate	ADJ
cord-189434-nrkvbdu4	60	142	-	-	PUNCT
cord-189434-nrkvbdu4	60	143	independent	independent	ADJ
cord-189434-nrkvbdu4	60	144	symplectic	symplectic	ADJ
cord-189434-nrkvbdu4	60	145	matrix	matrix	PROPN
cord-189434-nrkvbdu4	60	146	j	j	PROPN
cord-189434-nrkvbdu4	60	147	of	of	ADP
cord-189434-nrkvbdu4	60	148	a	a	DET
cord-189434-nrkvbdu4	60	149	flat	flat	ADJ
cord-189434-nrkvbdu4	60	150	manifold	manifold	ADJ
cord-189434-nrkvbdu4	60	151	as	as	ADV
cord-189434-nrkvbdu4	60	152	well	well	ADV
cord-189434-nrkvbdu4	60	153	as	as	ADP
cord-189434-nrkvbdu4	60	154	derivatives	derivative	NOUN
cord-189434-nrkvbdu4	60	155	with	with	ADP
cord-189434-nrkvbdu4	60	156	respect	respect	NOUN
cord-189434-nrkvbdu4	60	157	to	to	ADP
cord-189434-nrkvbdu4	60	158	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	60	159	time	time	NOUN
cord-189434-nrkvbdu4	60	160	t.	t.	PROPN
cord-189434-nrkvbdu4	60	161	the	the	DET
cord-189434-nrkvbdu4	60	162	minimal	minimal	ADJ
cord-189434-nrkvbdu4	60	163	(	(	PUNCT
cord-189434-nrkvbdu4	60	164	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	60	165	)	)	PUNCT
cord-189434-nrkvbdu4	60	166	state	state	NOUN
cord-189434-nrkvbdu4	60	167	space	space	NOUN
cord-189434-nrkvbdu4	60	168	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	60	169	,	,	PUNCT
cord-189434-nrkvbdu4	60	170	i.e.	i.e.	X
cord-189434-nrkvbdu4	60	171	the	the	DET
cord-189434-nrkvbdu4	60	172	generalized	generalized	ADJ
cord-189434-nrkvbdu4	60	173	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	60	174	q	q	NOUN
cord-189434-nrkvbdu4	60	175	defined	define	VERB
cord-189434-nrkvbdu4	60	176	as	as	ADP
cord-189434-nrkvbdu4	60	177	the	the	DET
cord-189434-nrkvbdu4	60	178	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	60	179	stock	stock	NOUN
cord-189434-nrkvbdu4	60	180	of	of	ADP
cord-189434-nrkvbdu4	60	181	individuals	individual	NOUN
cord-189434-nrkvbdu4	60	182	in	in	ADP
cord-189434-nrkvbdu4	60	183	the	the	DET
cord-189434-nrkvbdu4	60	184	infected	infect	VERB
cord-189434-nrkvbdu4	60	185	compartment	compartment	NOUN
cord-189434-nrkvbdu4	60	186	,	,	PUNCT
cord-189434-nrkvbdu4	60	187	span	span	NOUN
cord-189434-nrkvbdu4	60	188	the	the	DET
cord-189434-nrkvbdu4	60	189	one	one	NUM
cord-189434-nrkvbdu4	60	190	-	-	PUNCT
cord-189434-nrkvbdu4	60	191	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	60	192	state	state	NOUN
cord-189434-nrkvbdu4	60	193	space	space	NOUN
cord-189434-nrkvbdu4	60	194	×	×	PROPN
cord-189434-nrkvbdu4	60	195	,	,	PUNCT
cord-189434-nrkvbdu4	60	196	thus	thus	ADV
cord-189434-nrkvbdu4	60	197	×	×	PROPN
cord-189434-nrkvbdu4	60	198	:	:	PUNCT
cord-189434-nrkvbdu4	60	199	=	=	X
cord-189434-nrkvbdu4	60	200	{	{	PUNCT
cord-189434-nrkvbdu4	60	201	q	q	NOUN
cord-189434-nrkvbdu4	60	202	:	:	PUNCT
cord-189434-nrkvbdu4	60	203	=	=	NOUN
cord-189434-nrkvbdu4	60	204	i	i	NOUN
cord-189434-nrkvbdu4	60	205	}	}	PUNCT
cord-189434-nrkvbdu4	60	206	.	.	PUNCT
cord-189434-nrkvbdu4	61	1	legendre	legendre	PROPN
cord-189434-nrkvbdu4	61	2	transformation	transformation	NOUN
cord-189434-nrkvbdu4	61	3	of	of	ADP
cord-189434-nrkvbdu4	61	4	the	the	DET
cord-189434-nrkvbdu4	61	5	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	61	6	in	in	ADP
cord-189434-nrkvbdu4	61	7	minimal	minimal	ADJ
cord-189434-nrkvbdu4	61	8	(	(	PUNCT
cord-189434-nrkvbdu4	61	9	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	61	10	)	)	PUNCT
cord-189434-nrkvbdu4	61	11	phase	phase	NOUN
cord-189434-nrkvbdu4	61	12	space	space	NOUN
cord-189434-nrkvbdu4	61	13	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	61	14	defines	define	VERB
cord-189434-nrkvbdu4	61	15	the	the	DET
cord-189434-nrkvbdu4	61	16	corresponding	corresponding	ADJ
cord-189434-nrkvbdu4	61	17	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	61	18	then	then	ADV
cord-189434-nrkvbdu4	61	19	the	the	DET
cord-189434-nrkvbdu4	61	20	supremum	supremum	ADJ
cord-189434-nrkvbdu4	61	21	condition	condition	NOUN
cord-189434-nrkvbdu4	61	22	identifies	identify	VERB
cord-189434-nrkvbdu4	61	23	i	i	PRON
cord-189434-nrkvbdu4	61	24	•	•	PUNCT
cord-189434-nrkvbdu4	61	25	with	with	ADP
cord-189434-nrkvbdu4	61	26	the	the	DET
cord-189434-nrkvbdu4	61	27	derivative	derivative	ADJ
cord-189434-nrkvbdu4	61	28	∂	∂	PROPN
cord-189434-nrkvbdu4	61	29	s	s	PART
cord-189434-nrkvbdu4	61	30	h(z	h(z	PROPN
cord-189434-nrkvbdu4	61	31	)	)	PUNCT
cord-189434-nrkvbdu4	61	32	of	of	ADP
cord-189434-nrkvbdu4	61	33	the	the	DET
cord-189434-nrkvbdu4	61	34	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	61	35	in	in	ADP
cord-189434-nrkvbdu4	61	36	minimal	minimal	ADJ
cord-189434-nrkvbdu4	61	37	(	(	PUNCT
cord-189434-nrkvbdu4	61	38	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	61	39	)	)	PUNCT
cord-189434-nrkvbdu4	61	40	phase	phase	NOUN
cord-189434-nrkvbdu4	61	41	space	space	NOUN
cord-189434-nrkvbdu4	61	42	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	61	43	from	from	ADP
cord-189434-nrkvbdu4	61	44	eq	eq	PROPN
cord-189434-nrkvbdu4	61	45	.	.	PROPN
cord-189434-nrkvbdu4	61	46	51	51	NUM
cord-189434-nrkvbdu4	61	47	with	with	ADP
cord-189434-nrkvbdu4	61	48	respect	respect	NOUN
cord-189434-nrkvbdu4	61	49	to	to	ADP
cord-189434-nrkvbdu4	61	50	the	the	DET
cord-189434-nrkvbdu4	61	51	generalized	generalized	ADJ
cord-189434-nrkvbdu4	61	52	momentum	momentum	NOUN
cord-189434-nrkvbdu4	61	53	,	,	PUNCT
cord-189434-nrkvbdu4	61	54	and	and	CCONJ
cord-189434-nrkvbdu4	61	55	renders	render	VERB
cord-189434-nrkvbdu4	61	56	re	re	VERB
cord-189434-nrkvbdu4	61	57	-	-	VERB
cord-189434-nrkvbdu4	61	58	solving	solve	VERB
cord-189434-nrkvbdu4	61	59	the	the	DET
cord-189434-nrkvbdu4	61	60	above	above	ADJ
cord-189434-nrkvbdu4	61	61	supremum	supremum	ADJ
cord-189434-nrkvbdu4	61	62	condition	condition	NOUN
cord-189434-nrkvbdu4	61	63	for	for	ADP
cord-189434-nrkvbdu4	61	64	s	s	NOUN
cord-189434-nrkvbdu4	61	65	in	in	ADP
cord-189434-nrkvbdu4	61	66	terms	term	NOUN
cord-189434-nrkvbdu4	61	67	of	of	ADP
cord-189434-nrkvbdu4	61	68	i	i	PRON
cord-189434-nrkvbdu4	61	69	•	•	PUNCT
cord-189434-nrkvbdu4	61	70	delivers	deliver	VERB
cord-189434-nrkvbdu4	61	71	based	base	VERB
cord-189434-nrkvbdu4	61	72	on	on	ADP
cord-189434-nrkvbdu4	61	73	the	the	DET
cord-189434-nrkvbdu4	61	74	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	61	75	in	in	ADP
cord-189434-nrkvbdu4	61	76	minimal	minimal	ADJ
cord-189434-nrkvbdu4	61	77	(	(	PUNCT
cord-189434-nrkvbdu4	61	78	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	61	79	)	)	PUNCT
cord-189434-nrkvbdu4	61	80	state	state	NOUN
cord-189434-nrkvbdu4	61	81	space	space	NOUN
cord-189434-nrkvbdu4	61	82	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	61	83	,	,	PUNCT
cord-189434-nrkvbdu4	61	84	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	61	85	's	's	PART
cord-189434-nrkvbdu4	61	86	principle	principle	ADJ
cord-189434-nrkvbdu4	61	87	results	result	NOUN
cord-189434-nrkvbdu4	61	88	in	in	ADP
cord-189434-nrkvbdu4	61	89	the	the	DET
cord-189434-nrkvbdu4	61	90	stationarity	stationarity	NOUN
cord-189434-nrkvbdu4	61	91	condition	condition	NOUN
cord-189434-nrkvbdu4	61	92	alternatively	alternatively	ADV
cord-189434-nrkvbdu4	61	93	,	,	PUNCT
cord-189434-nrkvbdu4	61	94	extended	extended	ADJ
cord-189434-nrkvbdu4	61	95	(	(	PUNCT
cord-189434-nrkvbdu4	61	96	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	61	97	)	)	PUNCT
cord-189434-nrkvbdu4	61	98	state	state	NOUN
cord-189434-nrkvbdu4	61	99	space	space	NOUN
cord-189434-nrkvbdu4	61	100	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	61	101	collectively	collectively	ADV
cord-189434-nrkvbdu4	61	102	assembled	assemble	VERB
cord-189434-nrkvbdu4	61	103	in	in	ADP
cord-189434-nrkvbdu4	61	104	the	the	DET
cord-189434-nrkvbdu4	61	105	column	column	NOUN
cord-189434-nrkvbdu4	61	106	matrix	matrix	NOUN
cord-189434-nrkvbdu4	61	107	q	q	NOUN
cord-189434-nrkvbdu4	61	108	∈	∈	NOUN
cord-189434-nrkvbdu4	61	109	r	r	NOUN
cord-189434-nrkvbdu4	61	110	2	2	NUM
cord-189434-nrkvbdu4	61	111	,	,	PUNCT
cord-189434-nrkvbdu4	61	112	i.e.	i.e.	X
cord-189434-nrkvbdu4	61	113	the	the	DET
cord-189434-nrkvbdu4	61	114	generalized	generalized	ADJ
cord-189434-nrkvbdu4	61	115	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	61	116	jointly	jointly	ADV
cord-189434-nrkvbdu4	61	117	defined	define	VERB
cord-189434-nrkvbdu4	61	118	as	as	ADP
cord-189434-nrkvbdu4	61	119	the	the	DET
cord-189434-nrkvbdu4	61	120	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	61	121	stock	stock	NOUN
cord-189434-nrkvbdu4	61	122	of	of	ADP
cord-189434-nrkvbdu4	61	123	individuals	individual	NOUN
cord-189434-nrkvbdu4	61	124	in	in	ADP
cord-189434-nrkvbdu4	61	125	the	the	DET
cord-189434-nrkvbdu4	61	126	infected	infected	ADJ
cord-189434-nrkvbdu4	61	127	and	and	CCONJ
cord-189434-nrkvbdu4	61	128	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	61	129	compartments	compartment	NOUN
cord-189434-nrkvbdu4	61	130	,	,	PUNCT
cord-189434-nrkvbdu4	61	131	span	span	VERB
cord-189434-nrkvbdu4	61	132	the	the	DET
cord-189434-nrkvbdu4	61	133	two	two	NUM
cord-189434-nrkvbdu4	61	134	-	-	PUNCT
cord-189434-nrkvbdu4	61	135	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	61	136	state	state	NOUN
cord-189434-nrkvbdu4	61	137	space	space	NOUN
cord-189434-nrkvbdu4	61	138	×	×	PROPN
cord-189434-nrkvbdu4	61	139	,	,	PUNCT
cord-189434-nrkvbdu4	61	140	thus	thus	ADV
cord-189434-nrkvbdu4	61	141	×	×	PROPN
cord-189434-nrkvbdu4	61	142	:	:	PUNCT
cord-189434-nrkvbdu4	61	143	=	=	X
cord-189434-nrkvbdu4	61	144	q	q	X
cord-189434-nrkvbdu4	61	145	:	:	PUNCT
cord-189434-nrkvbdu4	61	146	=	=	NOUN
cord-189434-nrkvbdu4	61	147	i	i	NOUN
cord-189434-nrkvbdu4	61	148	s	s	VERB
cord-189434-nrkvbdu4	61	149	.	.	PUNCT
cord-189434-nrkvbdu4	62	1	the	the	DET
cord-189434-nrkvbdu4	62	2	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	62	3	l(q	l(q	PROPN
cord-189434-nrkvbdu4	62	4	,	,	PUNCT
cord-189434-nrkvbdu4	62	5	q	q	NOUN
cord-189434-nrkvbdu4	62	6	•	•	PUNCT
cord-189434-nrkvbdu4	62	7	)	)	PUNCT
cord-189434-nrkvbdu4	62	8	in	in	ADP
cord-189434-nrkvbdu4	62	9	extended	extend	VERB
cord-189434-nrkvbdu4	62	10	(	(	PUNCT
cord-189434-nrkvbdu4	62	11	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	62	12	)	)	PUNCT
cord-189434-nrkvbdu4	62	13	state	state	NOUN
cord-189434-nrkvbdu4	62	14	space	space	NOUN
cord-189434-nrkvbdu4	62	15	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	62	16	,	,	PUNCT
cord-189434-nrkvbdu4	62	17	which	which	PRON
cord-189434-nrkvbdu4	62	18	eventually	eventually	ADV
cord-189434-nrkvbdu4	62	19	results	result	VERB
cord-189434-nrkvbdu4	62	20	in	in	ADP
cord-189434-nrkvbdu4	62	21	the	the	DET
cord-189434-nrkvbdu4	62	22	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	62	23	re	re	ADJ
cord-189434-nrkvbdu4	62	24	-	-	ADJ
cord-189434-nrkvbdu4	62	25	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	62	26	sir	sir	PROPN
cord-189434-nrkvbdu4	62	27	model	model	NOUN
cord-189434-nrkvbdu4	62	28	from	from	ADP
cord-189434-nrkvbdu4	62	29	eq	eq	PROPN
cord-189434-nrkvbdu4	62	30	.	.	PROPN
cord-189434-nrkvbdu4	62	31	47	47	NUM
cord-189434-nrkvbdu4	62	32	,	,	PUNCT
cord-189434-nrkvbdu4	62	33	reads	read	VERB
cord-189434-nrkvbdu4	62	34	here	here	ADV
cord-189434-nrkvbdu4	62	35	,	,	PUNCT
cord-189434-nrkvbdu4	62	36	the	the	DET
cord-189434-nrkvbdu4	62	37	legendre	legendre	NOUN
cord-189434-nrkvbdu4	62	38	transformation	transformation	NOUN
cord-189434-nrkvbdu4	62	39	term	term	NOUN
cord-189434-nrkvbdu4	62	40	q	q	NOUN
cord-189434-nrkvbdu4	62	41	·	·	PUNCT
cord-189434-nrkvbdu4	62	42	j	j	PROPN
cord-189434-nrkvbdu4	62	43	t	t	PROPN
cord-189434-nrkvbdu4	62	44	·	·	PUNCT
cord-189434-nrkvbdu4	62	45	q	q	X
cord-189434-nrkvbdu4	62	46	•	•	PUNCT
cord-189434-nrkvbdu4	62	47	=	=	NOUN
cord-189434-nrkvbdu4	62	48	q	q	NOUN
cord-189434-nrkvbdu4	62	49	•	•	PUNCT
cord-189434-nrkvbdu4	62	50	·	·	PUNCT
cord-189434-nrkvbdu4	62	51	j	j	X
cord-189434-nrkvbdu4	62	52	·	·	PUNCT
cord-189434-nrkvbdu4	62	53	q	q	PROPN
cord-189434-nrkvbdu4	62	54	expands	expand	VERB
cord-189434-nrkvbdu4	62	55	as	as	ADP
cord-189434-nrkvbdu4	62	56	the	the	DET
cord-189434-nrkvbdu4	62	57	skew	skew	ADJ
cord-189434-nrkvbdu4	62	58	-	-	PUNCT
cord-189434-nrkvbdu4	62	59	symmetric	symmetric	ADJ
cord-189434-nrkvbdu4	62	60	form	form	NOUN
cord-189434-nrkvbdu4	62	61	the	the	DET
cord-189434-nrkvbdu4	62	62	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	62	63	h(q	h(q	ADV
cord-189434-nrkvbdu4	62	64	)	)	PUNCT
cord-189434-nrkvbdu4	62	65	,	,	PUNCT
cord-189434-nrkvbdu4	62	66	corresponding	correspond	VERB
cord-189434-nrkvbdu4	62	67	to	to	ADP
cord-189434-nrkvbdu4	62	68	eq	eq	PROPN
cord-189434-nrkvbdu4	62	69	.	.	PROPN
cord-189434-nrkvbdu4	62	70	51	51	NUM
cord-189434-nrkvbdu4	62	71	,	,	PUNCT
cord-189434-nrkvbdu4	62	72	is	be	AUX
cord-189434-nrkvbdu4	62	73	now	now	ADV
cord-189434-nrkvbdu4	62	74	parameterized	parameterize	VERB
cord-189434-nrkvbdu4	62	75	in	in	ADP
cord-189434-nrkvbdu4	62	76	terms	term	NOUN
cord-189434-nrkvbdu4	62	77	of	of	ADP
cord-189434-nrkvbdu4	62	78	the	the	DET
cord-189434-nrkvbdu4	62	79	extended	extended	ADJ
cord-189434-nrkvbdu4	62	80	(	(	PUNCT
cord-189434-nrkvbdu4	62	81	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	62	82	)	)	PUNCT
cord-189434-nrkvbdu4	62	83	state	state	NOUN
cord-189434-nrkvbdu4	62	84	space	space	NOUN
cord-189434-nrkvbdu4	62	85	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	62	86	q	q	NOUN
cord-189434-nrkvbdu4	63	1	as	as	ADV
cord-189434-nrkvbdu4	63	2	h(q	h(q	ADV
cord-189434-nrkvbdu4	63	3	)	)	PUNCT
cord-189434-nrkvbdu4	64	1	:	:	PUNCT
cord-189434-nrkvbdu4	64	2	=	=	PROPN
cord-189434-nrkvbdu4	64	3	β[i(i	β[i(i	PUNCT
cord-189434-nrkvbdu4	64	4	)	)	PUNCT
cord-189434-nrkvbdu4	64	5	+	+	CCONJ
cord-189434-nrkvbdu4	64	6	s(s	s(s	ADJ
cord-189434-nrkvbdu4	64	7	)	)	PUNCT
cord-189434-nrkvbdu4	64	8	]	]	PUNCT
cord-189434-nrkvbdu4	64	9	−	−	PROPN
cord-189434-nrkvbdu4	64	10	γs	γs	PROPN
cord-189434-nrkvbdu4	64	11	.	.	PROPN
cord-189434-nrkvbdu4	65	1	in	in	ADP
cord-189434-nrkvbdu4	65	2	extended	extended	ADJ
cord-189434-nrkvbdu4	65	3	(	(	PUNCT
cord-189434-nrkvbdu4	65	4	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	65	5	)	)	PUNCT
cord-189434-nrkvbdu4	65	6	state	state	NOUN
cord-189434-nrkvbdu4	65	7	space	space	NOUN
cord-189434-nrkvbdu4	65	8	coordinates	coordinate	VERB
cord-189434-nrkvbdu4	65	9	the	the	DET
cord-189434-nrkvbdu4	65	10	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	65	11	then	then	ADV
cord-189434-nrkvbdu4	65	12	renders	render	VERB
cord-189434-nrkvbdu4	65	13	the	the	DET
cord-189434-nrkvbdu4	65	14	stationarity	stationarity	NOUN
cord-189434-nrkvbdu4	65	15	conditions	condition	NOUN
cord-189434-nrkvbdu4	65	16	of	of	ADP
cord-189434-nrkvbdu4	65	17	the	the	DET
cord-189434-nrkvbdu4	65	18	corresponding	corresponding	ADJ
cord-189434-nrkvbdu4	65	19	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	65	20	's	's	PART
cord-189434-nrkvbdu4	65	21	principle	principle	NOUN
cord-189434-nrkvbdu4	65	22	with	with	ADP
cord-189434-nrkvbdu4	65	23	∂	∂	PROPN
cord-189434-nrkvbdu4	65	24	q	q	NOUN
cord-189434-nrkvbdu4	65	25	•	•	PUNCT
cord-189434-nrkvbdu4	66	1	l	l	NOUN
cord-189434-nrkvbdu4	66	2	=	=	X
cord-189434-nrkvbdu4	66	3	q	q	X
cord-189434-nrkvbdu4	66	4	·	·	PUNCT
cord-189434-nrkvbdu4	66	5	j	j	PROPN
cord-189434-nrkvbdu4	66	6	t	t	PROPN
cord-189434-nrkvbdu4	66	7	/2	/2	PROPN
cord-189434-nrkvbdu4	66	8	and	and	CCONJ
cord-189434-nrkvbdu4	66	9	∂	∂	NOUN
cord-189434-nrkvbdu4	67	1	q	q	NOUN
cord-189434-nrkvbdu4	67	2	l	l	NOUN
cord-189434-nrkvbdu4	67	3	=	=	X
cord-189434-nrkvbdu4	67	4	q	q	NOUN
cord-189434-nrkvbdu4	67	5	•	•	X
cord-189434-nrkvbdu4	67	6	·	·	PUNCT
cord-189434-nrkvbdu4	67	7	j/2	j/2	NOUN
cord-189434-nrkvbdu4	67	8	−	−	PROPN
cord-189434-nrkvbdu4	67	9	g(q	g(q	PROPN
cord-189434-nrkvbdu4	67	10	)	)	PUNCT
cord-189434-nrkvbdu4	67	11	,	,	PUNCT
cord-189434-nrkvbdu4	67	12	the	the	DET
cord-189434-nrkvbdu4	67	13	euler	euler	ADJ
cord-189434-nrkvbdu4	67	14	-	-	PUNCT
cord-189434-nrkvbdu4	67	15	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	67	16	equations	equation	NOUN
cord-189434-nrkvbdu4	67	17	thus	thus	ADV
cord-189434-nrkvbdu4	67	18	follow	follow	VERB
cord-189434-nrkvbdu4	67	19	as	as	ADP
cord-189434-nrkvbdu4	67	20	and	and	CCONJ
cord-189434-nrkvbdu4	67	21	concretely	concretely	ADV
cord-189434-nrkvbdu4	67	22	unfold	unfold	VERB
cord-189434-nrkvbdu4	67	23	into	into	ADP
cord-189434-nrkvbdu4	67	24	subsequently	subsequently	ADV
cord-189434-nrkvbdu4	67	25	,	,	PUNCT
cord-189434-nrkvbdu4	67	26	the	the	DET
cord-189434-nrkvbdu4	67	27	euler	euler	ADJ
cord-189434-nrkvbdu4	67	28	-	-	PUNCT
cord-189434-nrkvbdu4	67	29	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	67	30	equations	equation	NOUN
cord-189434-nrkvbdu4	67	31	in	in	ADP
cord-189434-nrkvbdu4	67	32	eq	eq	PROPN
cord-189434-nrkvbdu4	67	33	.	.	PROPN
cord-189434-nrkvbdu4	67	34	70	70	NUM
cord-189434-nrkvbdu4	67	35	are	be	AUX
cord-189434-nrkvbdu4	67	36	re	re	VERB
cord-189434-nrkvbdu4	67	37	-	-	VERB
cord-189434-nrkvbdu4	67	38	formulated	formulate	VERB
cord-189434-nrkvbdu4	67	39	by	by	ADP
cord-189434-nrkvbdu4	67	40	noting	note	VERB
cord-189434-nrkvbdu4	67	41	that	that	SCONJ
cord-189434-nrkvbdu4	67	42	q	q	X
cord-189434-nrkvbdu4	67	43	•	•	PUNCT
cord-189434-nrkvbdu4	67	44	·	·	PUNCT
cord-189434-nrkvbdu4	67	45	j	j	PROPN
cord-189434-nrkvbdu4	67	46	=	=	PROPN
cord-189434-nrkvbdu4	67	47	−q	−q	PROPN
cord-189434-nrkvbdu4	67	48	•	•	X
cord-189434-nrkvbdu4	67	49	·	·	PUNCT
cord-189434-nrkvbdu4	67	50	j	j	PROPN
cord-189434-nrkvbdu4	67	51	t	t	PROPN
cord-189434-nrkvbdu4	67	52	and	and	CCONJ
cord-189434-nrkvbdu4	67	53	q	q	NOUN
cord-189434-nrkvbdu4	67	54	•	•	PUNCT
cord-189434-nrkvbdu4	67	55	·	·	PUNCT
cord-189434-nrkvbdu4	67	56	j	j	PROPN
cord-189434-nrkvbdu4	67	57	t	t	PROPN
cord-189434-nrkvbdu4	67	58	=	=	SYM
cord-189434-nrkvbdu4	67	59	j	j	X
cord-189434-nrkvbdu4	67	60	·	·	PUNCT
cord-189434-nrkvbdu4	67	61	q	q	NOUN
cord-189434-nrkvbdu4	67	62	•	•	PUNCT
cord-189434-nrkvbdu4	67	63	,	,	PUNCT
cord-189434-nrkvbdu4	67	64	thus	thus	ADV
cord-189434-nrkvbdu4	67	65	j	j	PROPN
cord-189434-nrkvbdu4	67	66	·	·	PUNCT
cord-189434-nrkvbdu4	67	67	q	q	X
cord-189434-nrkvbdu4	67	68	•	•	X
cord-189434-nrkvbdu4	67	69	=	=	NOUN
cord-189434-nrkvbdu4	67	70	−g(q	−g(q	NOUN
cord-189434-nrkvbdu4	67	71	)	)	PUNCT
cord-189434-nrkvbdu4	67	72	.	.	PUNCT
cord-189434-nrkvbdu4	68	1	finally	finally	ADV
cord-189434-nrkvbdu4	68	2	,	,	PUNCT
cord-189434-nrkvbdu4	68	3	with	with	ADP
cord-189434-nrkvbdu4	68	4	j	j	PROPN
cord-189434-nrkvbdu4	68	5	2	2	NUM
cord-189434-nrkvbdu4	68	6	=	=	SYM
cord-189434-nrkvbdu4	68	7	−i	−i	PROPN
cord-189434-nrkvbdu4	68	8	,	,	PUNCT
cord-189434-nrkvbdu4	68	9	the	the	DET
cord-189434-nrkvbdu4	68	10	euler	euler	ADJ
cord-189434-nrkvbdu4	68	11	-	-	PUNCT
cord-189434-nrkvbdu4	68	12	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	68	13	equations	equation	NOUN
cord-189434-nrkvbdu4	68	14	from	from	ADP
cord-189434-nrkvbdu4	68	15	eq	eq	PROPN
cord-189434-nrkvbdu4	68	16	.	.	PROPN
cord-189434-nrkvbdu4	68	17	72	72	NUM
cord-189434-nrkvbdu4	68	18	re	re	NOUN
cord-189434-nrkvbdu4	68	19	-	-	NOUN
cord-189434-nrkvbdu4	68	20	formulate	formulate	VERB
cord-189434-nrkvbdu4	68	21	as	as	SCONJ
cord-189434-nrkvbdu4	68	22	this	this	DET
cord-189434-nrkvbdu4	68	23	format	format	NOUN
cord-189434-nrkvbdu4	68	24	recovers	recover	VERB
cord-189434-nrkvbdu4	68	25	the	the	DET
cord-189434-nrkvbdu4	68	26	relation	relation	NOUN
cord-189434-nrkvbdu4	68	27	between	between	ADP
cord-189434-nrkvbdu4	68	28	the	the	DET
cord-189434-nrkvbdu4	68	29	gradient	gradient	ADJ
cord-189434-nrkvbdu4	68	30	g(q	g(q	PROPN
cord-189434-nrkvbdu4	68	31	)	)	PUNCT
cord-189434-nrkvbdu4	68	32	∈	∈	NOUN
cord-189434-nrkvbdu4	68	33	r	r	NOUN
cord-189434-nrkvbdu4	68	34	2	2	NUM
cord-189434-nrkvbdu4	68	35	of	of	ADP
cord-189434-nrkvbdu4	68	36	the	the	DET
cord-189434-nrkvbdu4	68	37	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	68	38	h(q	h(q	ADV
cord-189434-nrkvbdu4	68	39	)	)	PUNCT
cord-189434-nrkvbdu4	68	40	(	(	PUNCT
cord-189434-nrkvbdu4	68	41	in	in	ADP
cord-189434-nrkvbdu4	68	42	extended	extended	ADJ
cord-189434-nrkvbdu4	68	43	(	(	PUNCT
cord-189434-nrkvbdu4	68	44	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	68	45	)	)	PUNCT
cord-189434-nrkvbdu4	68	46	state	state	NOUN
cord-189434-nrkvbdu4	68	47	space	space	NOUN
cord-189434-nrkvbdu4	68	48	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	68	49	)	)	PUNCT
cord-189434-nrkvbdu4	68	50	and	and	CCONJ
cord-189434-nrkvbdu4	68	51	the	the	DET
cord-189434-nrkvbdu4	68	52	forcing	force	VERB
cord-189434-nrkvbdu4	68	53	term	term	NOUN
cord-189434-nrkvbdu4	68	54	f	f	X
cord-189434-nrkvbdu4	68	55	(	(	PUNCT
cord-189434-nrkvbdu4	68	56	q	q	NOUN
cord-189434-nrkvbdu4	68	57	)	)	PUNCT
cord-189434-nrkvbdu4	68	58	∈	∈	NOUN
cord-189434-nrkvbdu4	68	59	r	r	NOUN
cord-189434-nrkvbdu4	68	60	2	2	NUM
cord-189434-nrkvbdu4	68	61	already	already	ADV
cord-189434-nrkvbdu4	68	62	established	establish	VERB
cord-189434-nrkvbdu4	68	63	previously	previously	ADV
cord-189434-nrkvbdu4	68	64	in	in	ADP
cord-189434-nrkvbdu4	68	65	eq	eq	PROPN
cord-189434-nrkvbdu4	68	66	.	.	PROPN
cord-189434-nrkvbdu4	68	67	57	57	NUM
cord-189434-nrkvbdu4	68	68	.	.	PUNCT
cord-189434-nrkvbdu4	69	1	for	for	ADP
cord-189434-nrkvbdu4	69	2	completeness	completeness	NOUN
cord-189434-nrkvbdu4	69	3	we	we	PRON
cord-189434-nrkvbdu4	69	4	also	also	ADV
cord-189434-nrkvbdu4	69	5	consider	consider	VERB
cord-189434-nrkvbdu4	69	6	extended	extend	VERB
cord-189434-nrkvbdu4	69	7	(	(	PUNCT
cord-189434-nrkvbdu4	69	8	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	69	9	)	)	PUNCT
cord-189434-nrkvbdu4	69	10	phase	phase	NOUN
cord-189434-nrkvbdu4	69	11	space	space	NOUN
cord-189434-nrkvbdu4	69	12	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	69	13	q	q	INTJ
cord-189434-nrkvbdu4	69	14	,	,	PUNCT
cord-189434-nrkvbdu4	69	15	i.e.	i.e.	X
cord-189434-nrkvbdu4	69	16	the	the	DET
cord-189434-nrkvbdu4	69	17	generalized	generalized	ADJ
cord-189434-nrkvbdu4	69	18	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	69	19	jointly	jointly	ADV
cord-189434-nrkvbdu4	69	20	defined	define	VERB
cord-189434-nrkvbdu4	69	21	as	as	ADP
cord-189434-nrkvbdu4	69	22	the	the	DET
cord-189434-nrkvbdu4	69	23	logarithmic	logarithmic	PROPN
cord-189434-nrkvbdu4	69	24	stock	stock	NOUN
cord-189434-nrkvbdu4	69	25	of	of	ADP
cord-189434-nrkvbdu4	69	26	individuals	individual	NOUN
cord-189434-nrkvbdu4	69	27	in	in	ADP
cord-189434-nrkvbdu4	69	28	the	the	DET
cord-189434-nrkvbdu4	69	29	infected	infected	ADJ
cord-189434-nrkvbdu4	69	30	and	and	CCONJ
cord-189434-nrkvbdu4	69	31	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	69	32	compartments	compartment	NOUN
cord-189434-nrkvbdu4	69	33	,	,	PUNCT
cord-189434-nrkvbdu4	69	34	and	and	CCONJ
cord-189434-nrkvbdu4	69	35	p	p	X
cord-189434-nrkvbdu4	69	36	,	,	PUNCT
cord-189434-nrkvbdu4	69	37	i.e.	i.e.	X
cord-189434-nrkvbdu4	69	38	heretofore	heretofore	ADP
cord-189434-nrkvbdu4	69	39	undefined	undefined	ADJ
cord-189434-nrkvbdu4	69	40	generalized	generalized	ADJ
cord-189434-nrkvbdu4	69	41	momenta	momenta	NOUN
cord-189434-nrkvbdu4	69	42	,	,	PUNCT
cord-189434-nrkvbdu4	69	43	collectively	collectively	ADV
cord-189434-nrkvbdu4	69	44	assembled	assemble	VERB
cord-189434-nrkvbdu4	69	45	in	in	ADP
cord-189434-nrkvbdu4	69	46	the	the	DET
cord-189434-nrkvbdu4	69	47	column	column	NOUN
cord-189434-nrkvbdu4	69	48	matrix	matrix	NOUN
cord-189434-nrkvbdu4	69	49	z	z	NOUN
cord-189434-nrkvbdu4	69	50	∈	∈	NOUN
cord-189434-nrkvbdu4	69	51	r	r	NOUN
cord-189434-nrkvbdu4	69	52	4	4	NUM
cord-189434-nrkvbdu4	69	53	,	,	PUNCT
cord-189434-nrkvbdu4	69	54	to	to	PART
cord-189434-nrkvbdu4	69	55	span	span	VERB
cord-189434-nrkvbdu4	69	56	the	the	DET
cord-189434-nrkvbdu4	69	57	four	four	NUM
cord-189434-nrkvbdu4	69	58	-	-	PUNCT
cord-189434-nrkvbdu4	69	59	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	69	60	state	state	NOUN
cord-189434-nrkvbdu4	69	61	space	space	NOUN
cord-189434-nrkvbdu4	69	62	ô	ô	PROPN
cord-189434-nrkvbdu4	69	63	,	,	PUNCT
cord-189434-nrkvbdu4	69	64	thus	thus	ADV
cord-189434-nrkvbdu4	69	65	ô	ô	PROPN
cord-189434-nrkvbdu4	69	66	:	:	PUNCT
cord-189434-nrkvbdu4	69	67	=	=	X
cord-189434-nrkvbdu4	69	68	z	z	X
cord-189434-nrkvbdu4	69	69	:	:	PUNCT
cord-189434-nrkvbdu4	69	70	=	=	NOUN
cord-189434-nrkvbdu4	69	71	q	q	NOUN
cord-189434-nrkvbdu4	69	72	p	p	NOUN
cord-189434-nrkvbdu4	69	73	with	with	ADP
cord-189434-nrkvbdu4	69	74	q	q	NOUN
cord-189434-nrkvbdu4	69	75	:	:	PUNCT
cord-189434-nrkvbdu4	69	76	=	=	PROPN
cord-189434-nrkvbdu4	69	77	i	i	NOUN
cord-189434-nrkvbdu4	69	78	s	s	PART
cord-189434-nrkvbdu4	69	79	and	and	CCONJ
cord-189434-nrkvbdu4	69	80	p	p	NOUN
cord-189434-nrkvbdu4	69	81	:	:	PUNCT
cord-189434-nrkvbdu4	69	82	=	=	NOUN
cord-189434-nrkvbdu4	69	83	υ	υ	NOUN
cord-189434-nrkvbdu4	69	84	σ	σ	INTJ
cord-189434-nrkvbdu4	69	85	.	.	PUNCT
cord-189434-nrkvbdu4	70	1	(	(	PUNCT
cord-189434-nrkvbdu4	70	2	74	74	NUM
cord-189434-nrkvbdu4	70	3	)	)	PUNCT
cord-189434-nrkvbdu4	70	4	a	a	DET
cord-189434-nrkvbdu4	70	5	legendre	legendre	NOUN
cord-189434-nrkvbdu4	70	6	transformation	transformation	NOUN
cord-189434-nrkvbdu4	70	7	of	of	ADP
cord-189434-nrkvbdu4	70	8	the	the	DET
cord-189434-nrkvbdu4	70	9	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	70	10	in	in	ADP
cord-189434-nrkvbdu4	70	11	extended	extended	ADJ
cord-189434-nrkvbdu4	70	12	(	(	PUNCT
cord-189434-nrkvbdu4	70	13	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	70	14	)	)	PUNCT
cord-189434-nrkvbdu4	70	15	state	state	NOUN
cord-189434-nrkvbdu4	70	16	space	space	NOUN
cord-189434-nrkvbdu4	70	17	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	70	18	from	from	ADP
cord-189434-nrkvbdu4	70	19	eq	eq	PROPN
cord-189434-nrkvbdu4	70	20	.	.	PROPN
cord-189434-nrkvbdu4	70	21	66	66	NUM
cord-189434-nrkvbdu4	70	22	defines	define	VERB
cord-189434-nrkvbdu4	70	23	the	the	DET
cord-189434-nrkvbdu4	70	24	associated	associated	ADJ
cord-189434-nrkvbdu4	70	25	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	70	26	the	the	DET
cord-189434-nrkvbdu4	70	27	legendre	legendre	PROPN
cord-189434-nrkvbdu4	70	28	transformation	transformation	PROPN
cord-189434-nrkvbdu4	70	29	identifies	identify	VERB
cord-189434-nrkvbdu4	70	30	p	p	NOUN
cord-189434-nrkvbdu4	70	31	with	with	ADP
cord-189434-nrkvbdu4	70	32	the	the	DET
cord-189434-nrkvbdu4	70	33	derivative	derivative	ADJ
cord-189434-nrkvbdu4	70	34	∂	∂	PROPN
cord-189434-nrkvbdu4	70	35	q	q	NOUN
cord-189434-nrkvbdu4	70	36	•	•	PUNCT
cord-189434-nrkvbdu4	70	37	l(q	l(q	PROPN
cord-189434-nrkvbdu4	70	38	,	,	PUNCT
cord-189434-nrkvbdu4	70	39	q	q	NOUN
cord-189434-nrkvbdu4	70	40	•	•	PUNCT
cord-189434-nrkvbdu4	70	41	)	)	PUNCT
cord-189434-nrkvbdu4	70	42	of	of	ADP
cord-189434-nrkvbdu4	70	43	the	the	DET
cord-189434-nrkvbdu4	70	44	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	70	45	l(q	l(q	PROPN
cord-189434-nrkvbdu4	70	46	,	,	PUNCT
cord-189434-nrkvbdu4	70	47	q	q	NOUN
cord-189434-nrkvbdu4	70	48	•	•	PUNCT
cord-189434-nrkvbdu4	70	49	)	)	PUNCT
cord-189434-nrkvbdu4	70	50	in	in	ADP
cord-189434-nrkvbdu4	70	51	extended	extend	VERB
cord-189434-nrkvbdu4	70	52	(	(	PUNCT
cord-189434-nrkvbdu4	70	53	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	70	54	)	)	PUNCT
cord-189434-nrkvbdu4	70	55	state	state	NOUN
cord-189434-nrkvbdu4	70	56	space	space	NOUN
cord-189434-nrkvbdu4	70	57	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	70	58	from	from	ADP
cord-189434-nrkvbdu4	70	59	eq	eq	PROPN
cord-189434-nrkvbdu4	70	60	.	.	PROPN
cord-189434-nrkvbdu4	70	61	66	66	NUM
cord-189434-nrkvbdu4	70	62	with	with	ADP
cord-189434-nrkvbdu4	70	63	respect	respect	NOUN
cord-189434-nrkvbdu4	70	64	to	to	ADP
cord-189434-nrkvbdu4	70	65	the	the	DET
cord-189434-nrkvbdu4	70	66	rate	rate	NOUN
cord-189434-nrkvbdu4	70	67	of	of	ADP
cord-189434-nrkvbdu4	70	68	the	the	DET
cord-189434-nrkvbdu4	70	69	generalized	generalized	ADJ
cord-189434-nrkvbdu4	70	70	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	70	71	q	q	NOUN
cord-189434-nrkvbdu4	70	72	•	•	PUNCT
cord-189434-nrkvbdu4	70	73	,	,	PUNCT
cord-189434-nrkvbdu4	70	74	and	and	CCONJ
cord-189434-nrkvbdu4	70	75	renders	render	VERB
cord-189434-nrkvbdu4	70	76	∂l	∂l	PROPN
cord-189434-nrkvbdu4	70	77	∂q	∂q	PROPN
cord-189434-nrkvbdu4	70	78	•	•	PUNCT
cord-189434-nrkvbdu4	70	79	=	=	SYM
cord-189434-nrkvbdu4	70	80	1	1	NUM
cord-189434-nrkvbdu4	70	81	2	2	NUM
cord-189434-nrkvbdu4	70	82	q	q	NOUN
cord-189434-nrkvbdu4	70	83	·	·	PUNCT
cord-189434-nrkvbdu4	70	84	j	j	PROPN
cord-189434-nrkvbdu4	70	85	t	t	PROPN
cord-189434-nrkvbdu4	70	86	=	=	NOUN
cord-189434-nrkvbdu4	70	87	:	:	PUNCT
cord-189434-nrkvbdu4	71	1	p.	p.	NOUN
cord-189434-nrkvbdu4	71	2	thus	thus	ADV
cord-189434-nrkvbdu4	71	3	p	p	PROPN
cord-189434-nrkvbdu4	71	4	does	do	AUX
cord-189434-nrkvbdu4	71	5	not	not	PART
cord-189434-nrkvbdu4	71	6	depend	depend	VERB
cord-189434-nrkvbdu4	71	7	on	on	ADP
cord-189434-nrkvbdu4	71	8	q	q	NOUN
cord-189434-nrkvbdu4	71	9	•	•	X
cord-189434-nrkvbdu4	71	10	,	,	PUNCT
cord-189434-nrkvbdu4	71	11	consequently	consequently	ADV
cord-189434-nrkvbdu4	71	12	identifying	identify	VERB
cord-189434-nrkvbdu4	71	13	the	the	DET
cord-189434-nrkvbdu4	71	14	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	71	15	l(q	l(q	PROPN
cord-189434-nrkvbdu4	71	16	,	,	PUNCT
cord-189434-nrkvbdu4	71	17	q	q	NOUN
cord-189434-nrkvbdu4	71	18	•	•	PUNCT
cord-189434-nrkvbdu4	71	19	)	)	PUNCT
cord-189434-nrkvbdu4	71	20	in	in	ADP
cord-189434-nrkvbdu4	71	21	eq	eq	PROPN
cord-189434-nrkvbdu4	71	22	.	.	PROPN
cord-189434-nrkvbdu4	71	23	66	66	NUM
cord-189434-nrkvbdu4	71	24	as	as	ADP
cord-189434-nrkvbdu4	71	25	degenerate	degenerate	ADJ
cord-189434-nrkvbdu4	71	26	,	,	PUNCT
cord-189434-nrkvbdu4	71	27	[	[	X
cord-189434-nrkvbdu4	71	28	6	6	NUM
cord-189434-nrkvbdu4	71	29	]	]	PUNCT
cord-189434-nrkvbdu4	71	30	.	.	PUNCT
cord-189434-nrkvbdu4	72	1	consequently	consequently	ADV
cord-189434-nrkvbdu4	72	2	,	,	PUNCT
cord-189434-nrkvbdu4	72	3	with	with	ADP
cord-189434-nrkvbdu4	72	4	q	q	X
cord-189434-nrkvbdu4	72	5	·	·	PUNCT
cord-189434-nrkvbdu4	72	6	j	j	PROPN
cord-189434-nrkvbdu4	72	7	t	t	PROPN
cord-189434-nrkvbdu4	72	8	=	=	SYM
cord-189434-nrkvbdu4	72	9	j	j	X
cord-189434-nrkvbdu4	72	10	·	·	PUNCT
cord-189434-nrkvbdu4	72	11	q	q	PROPN
cord-189434-nrkvbdu4	72	12	and	and	CCONJ
cord-189434-nrkvbdu4	72	13	j	j	NOUN
cord-189434-nrkvbdu4	72	14	2	2	NUM
cord-189434-nrkvbdu4	72	15	=	=	PROPN
cord-189434-nrkvbdu4	72	16	−i	−i	PROPN
cord-189434-nrkvbdu4	72	17	,	,	PUNCT
cord-189434-nrkvbdu4	72	18	an	an	DET
cord-189434-nrkvbdu4	72	19	additional	additional	ADJ
cord-189434-nrkvbdu4	72	20	constraint	constraint	NOUN
cord-189434-nrkvbdu4	72	21	for	for	ADP
cord-189434-nrkvbdu4	72	22	the	the	DET
cord-189434-nrkvbdu4	72	23	extended	extended	ADJ
cord-189434-nrkvbdu4	72	24	(	(	PUNCT
cord-189434-nrkvbdu4	72	25	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	72	26	)	)	PUNCT
cord-189434-nrkvbdu4	72	27	phase	phase	NOUN
cord-189434-nrkvbdu4	72	28	space	space	NOUN
cord-189434-nrkvbdu4	72	29	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	72	30	results	result	VERB
cord-189434-nrkvbdu4	72	31	the	the	DET
cord-189434-nrkvbdu4	72	32	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	72	33	h(q	h(q	ADV
cord-189434-nrkvbdu4	72	34	,	,	PUNCT
cord-189434-nrkvbdu4	72	35	p	p	NOUN
cord-189434-nrkvbdu4	72	36	)	)	PUNCT
cord-189434-nrkvbdu4	72	37	in	in	ADP
cord-189434-nrkvbdu4	72	38	extended	extend	VERB
cord-189434-nrkvbdu4	72	39	(	(	PUNCT
cord-189434-nrkvbdu4	72	40	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	72	41	)	)	PUNCT
cord-189434-nrkvbdu4	72	42	phase	phase	NOUN
cord-189434-nrkvbdu4	72	43	space	space	NOUN
cord-189434-nrkvbdu4	72	44	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	72	45	thus	thus	ADV
cord-189434-nrkvbdu4	72	46	follows	follow	VERB
cord-189434-nrkvbdu4	72	47	from	from	ADP
cord-189434-nrkvbdu4	72	48	legendre	legendre	PROPN
cord-189434-nrkvbdu4	72	49	transformation	transformation	NOUN
cord-189434-nrkvbdu4	72	50	by	by	ADP
cord-189434-nrkvbdu4	72	51	incorporating	incorporate	VERB
cord-189434-nrkvbdu4	72	52	the	the	DET
cord-189434-nrkvbdu4	72	53	constraint	constraint	NOUN
cord-189434-nrkvbdu4	72	54	via	via	ADP
cord-189434-nrkvbdu4	72	55	the	the	DET
cord-189434-nrkvbdu4	72	56	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	72	57	multiplier	multipli	ADJ
cord-189434-nrkvbdu4	72	58	λ	λ	PROPN
cord-189434-nrkvbdu4	72	59	,	,	PUNCT
cord-189434-nrkvbdu4	72	60	i.e.	i.e.	X
cord-189434-nrkvbdu4	72	61	taking	take	VERB
cord-189434-nrkvbdu4	72	62	into	into	ADP
cord-189434-nrkvbdu4	72	63	account	account	NOUN
cord-189434-nrkvbdu4	72	64	the	the	DET
cord-189434-nrkvbdu4	72	65	explicit	explicit	ADJ
cord-189434-nrkvbdu4	72	66	form	form	NOUN
cord-189434-nrkvbdu4	72	67	of	of	ADP
cord-189434-nrkvbdu4	72	68	the	the	DET
cord-189434-nrkvbdu4	72	69	lagrangian	lagrangian	PROPN
cord-189434-nrkvbdu4	72	70	l(q	l(q	PROPN
cord-189434-nrkvbdu4	72	71	,	,	PUNCT
cord-189434-nrkvbdu4	72	72	q	q	NOUN
cord-189434-nrkvbdu4	72	73	•	•	PUNCT
cord-189434-nrkvbdu4	72	74	)	)	PUNCT
cord-189434-nrkvbdu4	72	75	in	in	ADP
cord-189434-nrkvbdu4	72	76	extended	extend	VERB
cord-189434-nrkvbdu4	72	77	(	(	PUNCT
cord-189434-nrkvbdu4	72	78	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	72	79	)	)	PUNCT
cord-189434-nrkvbdu4	72	80	state	state	NOUN
cord-189434-nrkvbdu4	72	81	space	space	NOUN
cord-189434-nrkvbdu4	72	82	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	72	83	from	from	ADP
cord-189434-nrkvbdu4	72	84	eq	eq	PROPN
cord-189434-nrkvbdu4	72	85	.	.	PROPN
cord-189434-nrkvbdu4	72	86	66	66	NUM
cord-189434-nrkvbdu4	72	87	results	result	NOUN
cord-189434-nrkvbdu4	72	88	in	in	ADP
cord-189434-nrkvbdu4	72	89	the	the	DET
cord-189434-nrkvbdu4	72	90	explicit	explicit	ADJ
cord-189434-nrkvbdu4	72	91	representation	representation	NOUN
cord-189434-nrkvbdu4	72	92	of	of	ADP
cord-189434-nrkvbdu4	72	93	the	the	DET
cord-189434-nrkvbdu4	72	94	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	72	95	h(q	h(q	ADV
cord-189434-nrkvbdu4	72	96	,	,	PUNCT
cord-189434-nrkvbdu4	72	97	p	p	NOUN
cord-189434-nrkvbdu4	72	98	)	)	PUNCT
cord-189434-nrkvbdu4	72	99	in	in	ADP
cord-189434-nrkvbdu4	72	100	extended	extend	VERB
cord-189434-nrkvbdu4	72	101	(	(	PUNCT
cord-189434-nrkvbdu4	72	102	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	72	103	)	)	PUNCT
cord-189434-nrkvbdu4	72	104	phase	phase	NOUN
cord-189434-nrkvbdu4	72	105	space	space	NOUN
cord-189434-nrkvbdu4	72	106	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	72	107	h(q	h(q	ADV
cord-189434-nrkvbdu4	72	108	,	,	PUNCT
cord-189434-nrkvbdu4	72	109	p	p	NOUN
cord-189434-nrkvbdu4	72	110	)	)	PUNCT
cord-189434-nrkvbdu4	72	111	=	=	NOUN
cord-189434-nrkvbdu4	72	112	h(q	h(q	ADV
cord-189434-nrkvbdu4	72	113	)	)	PUNCT
cord-189434-nrkvbdu4	72	114	+	+	CCONJ
cord-189434-nrkvbdu4	72	115	λ	λ	X
cord-189434-nrkvbdu4	72	116	·	·	PUNCT
cord-189434-nrkvbdu4	72	117	c(q	c(q	PROPN
cord-189434-nrkvbdu4	72	118	,	,	PUNCT
cord-189434-nrkvbdu4	72	119	p	p	PROPN
cord-189434-nrkvbdu4	72	120	)	)	PUNCT
cord-189434-nrkvbdu4	72	121	.	.	PUNCT
cord-189434-nrkvbdu4	73	1	invoking	invoke	VERB
cord-189434-nrkvbdu4	73	2	∂	∂	PROPN
cord-189434-nrkvbdu4	73	3	q	q	NOUN
cord-189434-nrkvbdu4	73	4	c(q	c(q	PROPN
cord-189434-nrkvbdu4	73	5	,	,	PUNCT
cord-189434-nrkvbdu4	73	6	p	p	PROPN
cord-189434-nrkvbdu4	73	7	)	)	PUNCT
cord-189434-nrkvbdu4	74	1	=	=	SYM
cord-189434-nrkvbdu4	74	2	i	i	NOUN
cord-189434-nrkvbdu4	74	3	and	and	CCONJ
cord-189434-nrkvbdu4	74	4	∂	∂	PROPN
cord-189434-nrkvbdu4	74	5	p	p	PROPN
cord-189434-nrkvbdu4	74	6	c(q	c(q	PROPN
cord-189434-nrkvbdu4	74	7	,	,	PUNCT
cord-189434-nrkvbdu4	74	8	p	p	PROPN
cord-189434-nrkvbdu4	74	9	)	)	PUNCT
cord-189434-nrkvbdu4	74	10	=	=	NOUN
cord-189434-nrkvbdu4	74	11	2j	2j	NUM
cord-189434-nrkvbdu4	74	12	,	,	PUNCT
cord-189434-nrkvbdu4	74	13	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	74	14	's	's	PART
cord-189434-nrkvbdu4	74	15	equations	equation	NOUN
cord-189434-nrkvbdu4	74	16	based	base	VERB
cord-189434-nrkvbdu4	74	17	on	on	ADP
cord-189434-nrkvbdu4	74	18	the	the	DET
cord-189434-nrkvbdu4	74	19	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	74	20	h(q	h(q	ADV
cord-189434-nrkvbdu4	74	21	,	,	PUNCT
cord-189434-nrkvbdu4	74	22	p	p	NOUN
cord-189434-nrkvbdu4	74	23	)	)	PUNCT
cord-189434-nrkvbdu4	74	24	in	in	ADP
cord-189434-nrkvbdu4	74	25	extended	extend	VERB
cord-189434-nrkvbdu4	74	26	(	(	PUNCT
cord-189434-nrkvbdu4	74	27	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	74	28	)	)	PUNCT
cord-189434-nrkvbdu4	74	29	phase	phase	NOUN
cord-189434-nrkvbdu4	74	30	space	space	NOUN
cord-189434-nrkvbdu4	74	31	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	74	32	from	from	ADP
cord-189434-nrkvbdu4	74	33	eq	eq	PROPN
cord-189434-nrkvbdu4	74	34	.	.	PROPN
cord-189434-nrkvbdu4	74	35	79	79	NUM
cord-189434-nrkvbdu4	74	36	result	result	NOUN
cord-189434-nrkvbdu4	74	37	in	in	ADP
cord-189434-nrkvbdu4	74	38	the	the	DET
cord-189434-nrkvbdu4	74	39	unknown	unknown	ADJ
cord-189434-nrkvbdu4	74	40	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	74	41	multiplier	multipli	ADJ
cord-189434-nrkvbdu4	74	42	λ	λ	PROPN
cord-189434-nrkvbdu4	74	43	is	be	AUX
cord-189434-nrkvbdu4	74	44	determined	determine	VERB
cord-189434-nrkvbdu4	74	45	from	from	ADP
cord-189434-nrkvbdu4	74	46	the	the	DET
cord-189434-nrkvbdu4	74	47	consistency	consistency	NOUN
cord-189434-nrkvbdu4	74	48	condition	condition	NOUN
cord-189434-nrkvbdu4	74	49	for	for	ADP
cord-189434-nrkvbdu4	74	50	the	the	DET
cord-189434-nrkvbdu4	74	51	constraint	constraint	NOUN
cord-189434-nrkvbdu4	74	52	which	which	PRON
cord-189434-nrkvbdu4	74	53	,	,	PUNCT
cord-189434-nrkvbdu4	74	54	with	with	ADP
cord-189434-nrkvbdu4	74	55	q	q	NOUN
cord-189434-nrkvbdu4	74	56	•	•	PUNCT
cord-189434-nrkvbdu4	74	57	=	=	SYM
cord-189434-nrkvbdu4	74	58	2λ	2λ	NUM
cord-189434-nrkvbdu4	74	59	·	·	PUNCT
cord-189434-nrkvbdu4	74	60	j	j	PROPN
cord-189434-nrkvbdu4	74	61	and	and	CCONJ
cord-189434-nrkvbdu4	74	62	p	p	X
cord-189434-nrkvbdu4	74	63	•	•	SYM
cord-189434-nrkvbdu4	74	64	=	=	X
cord-189434-nrkvbdu4	74	65	−[g(q	−[g(q	PROPN
cord-189434-nrkvbdu4	74	66	)	)	PUNCT
cord-189434-nrkvbdu4	74	67	+	+	CCONJ
cord-189434-nrkvbdu4	74	68	λ	λ	X
cord-189434-nrkvbdu4	74	69	]	]	X
cord-189434-nrkvbdu4	74	70	,	,	PUNCT
cord-189434-nrkvbdu4	74	71	results	result	NOUN
cord-189434-nrkvbdu4	74	72	in	in	ADP
cord-189434-nrkvbdu4	74	73	the	the	DET
cord-189434-nrkvbdu4	74	74	solution	solution	NOUN
cord-189434-nrkvbdu4	74	75	of	of	ADP
cord-189434-nrkvbdu4	74	76	the	the	DET
cord-189434-nrkvbdu4	74	77	consistency	consistency	NOUN
cord-189434-nrkvbdu4	74	78	condition	condition	NOUN
cord-189434-nrkvbdu4	74	79	then	then	ADV
cord-189434-nrkvbdu4	74	80	renders	render	VERB
cord-189434-nrkvbdu4	74	81	the	the	DET
cord-189434-nrkvbdu4	74	82	explicit	explicit	ADJ
cord-189434-nrkvbdu4	74	83	representation	representation	NOUN
cord-189434-nrkvbdu4	74	84	for	for	ADP
cord-189434-nrkvbdu4	74	85	the	the	DET
cord-189434-nrkvbdu4	74	86	lagrange	lagrange	NOUN
cord-189434-nrkvbdu4	74	87	multiplier	multiplier	ADV
cord-189434-nrkvbdu4	74	88	using	use	VERB
cord-189434-nrkvbdu4	74	89	again	again	ADV
cord-189434-nrkvbdu4	74	90	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	74	91	's	's	PART
cord-189434-nrkvbdu4	74	92	equation	equation	NOUN
cord-189434-nrkvbdu4	74	93	q	q	NOUN
cord-189434-nrkvbdu4	74	94	•	•	PUNCT
cord-189434-nrkvbdu4	74	95	=	=	SYM
cord-189434-nrkvbdu4	74	96	2λ	2λ	NUM
cord-189434-nrkvbdu4	74	97	·	·	PUNCT
cord-189434-nrkvbdu4	74	98	j	j	NOUN
cord-189434-nrkvbdu4	74	99	and	and	CCONJ
cord-189434-nrkvbdu4	74	100	exploiting	exploit	VERB
cord-189434-nrkvbdu4	74	101	λ	λ	PROPN
cord-189434-nrkvbdu4	74	102	·	·	PUNCT
cord-189434-nrkvbdu4	74	103	j	j	PROPN
cord-189434-nrkvbdu4	74	104	=	=	SYM
cord-189434-nrkvbdu4	74	105	−j	−j	X
cord-189434-nrkvbdu4	74	106	·	·	PUNCT
cord-189434-nrkvbdu4	74	107	λ	λ	PROPN
cord-189434-nrkvbdu4	74	108	,	,	PUNCT
cord-189434-nrkvbdu4	74	109	recovers	recover	VERB
cord-189434-nrkvbdu4	74	110	once	once	ADV
cord-189434-nrkvbdu4	74	111	more	more	ADV
cord-189434-nrkvbdu4	74	112	the	the	DET
cord-189434-nrkvbdu4	74	113	already	already	ADV
cord-189434-nrkvbdu4	74	114	previously	previously	ADV
cord-189434-nrkvbdu4	74	115	established	establish	VERB
cord-189434-nrkvbdu4	74	116	relation	relation	NOUN
cord-189434-nrkvbdu4	74	117	between	between	ADP
cord-189434-nrkvbdu4	74	118	the	the	DET
cord-189434-nrkvbdu4	74	119	gradient	gradient	ADJ
cord-189434-nrkvbdu4	74	120	g(q	g(q	PROPN
cord-189434-nrkvbdu4	74	121	)	)	PUNCT
cord-189434-nrkvbdu4	74	122	∈	∈	NOUN
cord-189434-nrkvbdu4	74	123	r	r	NOUN
cord-189434-nrkvbdu4	74	124	2	2	NUM
cord-189434-nrkvbdu4	74	125	of	of	ADP
cord-189434-nrkvbdu4	74	126	the	the	DET
cord-189434-nrkvbdu4	74	127	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	74	128	h(q	h(q	ADV
cord-189434-nrkvbdu4	74	129	)	)	PUNCT
cord-189434-nrkvbdu4	74	130	(	(	PUNCT
cord-189434-nrkvbdu4	74	131	in	in	ADP
cord-189434-nrkvbdu4	74	132	extended	extended	ADJ
cord-189434-nrkvbdu4	74	133	(	(	PUNCT
cord-189434-nrkvbdu4	74	134	logarithmic	logarithmic	ADJ
cord-189434-nrkvbdu4	74	135	)	)	PUNCT
cord-189434-nrkvbdu4	74	136	state	state	NOUN
cord-189434-nrkvbdu4	74	137	space	space	NOUN
cord-189434-nrkvbdu4	74	138	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	74	139	)	)	PUNCT
cord-189434-nrkvbdu4	74	140	and	and	CCONJ
cord-189434-nrkvbdu4	74	141	the	the	DET
cord-189434-nrkvbdu4	74	142	forcing	force	VERB
cord-189434-nrkvbdu4	74	143	term	term	NOUN
cord-189434-nrkvbdu4	74	144	f	f	X
cord-189434-nrkvbdu4	74	145	(	(	PUNCT
cord-189434-nrkvbdu4	74	146	q	q	NOUN
cord-189434-nrkvbdu4	74	147	)	)	PUNCT
cord-189434-nrkvbdu4	74	148	∈	∈	NOUN
cord-189434-nrkvbdu4	74	149	r	r	NOUN
cord-189434-nrkvbdu4	74	150	2	2	NUM
cord-189434-nrkvbdu4	74	151	moreover	moreover	ADV
cord-189434-nrkvbdu4	74	152	,	,	PUNCT
cord-189434-nrkvbdu4	74	153	using	use	VERB
cord-189434-nrkvbdu4	74	154	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	74	155	's	's	PART
cord-189434-nrkvbdu4	74	156	equation	equation	NOUN
cord-189434-nrkvbdu4	74	157	p	p	PROPN
cord-189434-nrkvbdu4	74	158	•	•	X
cord-189434-nrkvbdu4	74	159	=	=	X
cord-189434-nrkvbdu4	74	160	−[g(q	−[g(q	PROPN
cord-189434-nrkvbdu4	74	161	)	)	PUNCT
cord-189434-nrkvbdu4	74	162	+	+	CCONJ
cord-189434-nrkvbdu4	74	163	λ	λ	X
cord-189434-nrkvbdu4	74	164	]	]	PUNCT
cord-189434-nrkvbdu4	74	165	identifies	identify	VERB
cord-189434-nrkvbdu4	74	166	finally	finally	ADV
cord-189434-nrkvbdu4	74	167	the	the	DET
cord-189434-nrkvbdu4	74	168	rate	rate	NOUN
cord-189434-nrkvbdu4	74	169	of	of	ADP
cord-189434-nrkvbdu4	74	170	the	the	DET
cord-189434-nrkvbdu4	74	171	heretofore	heretofore	ADJ
cord-189434-nrkvbdu4	74	172	unknown	unknown	ADJ
cord-189434-nrkvbdu4	74	173	generalized	generalized	ADJ
cord-189434-nrkvbdu4	74	174	momenta	momenta	NOUN
cord-189434-nrkvbdu4	74	175	as	as	SCONJ
cord-189434-nrkvbdu4	74	176	the	the	DET
cord-189434-nrkvbdu4	74	177	last	last	ADJ
cord-189434-nrkvbdu4	74	178	equality	equality	NOUN
cord-189434-nrkvbdu4	74	179	follows	follow	VERB
cord-189434-nrkvbdu4	74	180	from	from	ADP
cord-189434-nrkvbdu4	74	181	j	j	PROPN
cord-189434-nrkvbdu4	74	182	2	2	NUM
cord-189434-nrkvbdu4	74	183	=	=	NOUN
cord-189434-nrkvbdu4	74	184	−i	−i	NOUN
cord-189434-nrkvbdu4	74	185	and	and	CCONJ
cord-189434-nrkvbdu4	74	186	the	the	DET
cord-189434-nrkvbdu4	74	187	previous	previous	ADJ
cord-189434-nrkvbdu4	74	188	relation	relation	NOUN
cord-189434-nrkvbdu4	74	189	j	j	X
cord-189434-nrkvbdu4	74	190	·	·	PUNCT
cord-189434-nrkvbdu4	74	191	g(q	g(q	PROPN
cord-189434-nrkvbdu4	74	192	)	)	PUNCT
cord-189434-nrkvbdu4	74	193	=	=	NOUN
cord-189434-nrkvbdu4	74	194	f	f	PROPN
cord-189434-nrkvbdu4	74	195	(	(	PUNCT
cord-189434-nrkvbdu4	74	196	q	q	NOUN
cord-189434-nrkvbdu4	74	197	)	)	PUNCT
cord-189434-nrkvbdu4	74	198	.	.	PUNCT
cord-189434-nrkvbdu4	75	1	in	in	ADP
cord-189434-nrkvbdu4	75	2	order	order	NOUN
cord-189434-nrkvbdu4	75	3	to	to	PART
cord-189434-nrkvbdu4	75	4	systematically	systematically	ADV
cord-189434-nrkvbdu4	75	5	explore	explore	VERB
cord-189434-nrkvbdu4	75	6	lessons	lesson	NOUN
cord-189434-nrkvbdu4	75	7	that	that	PRON
cord-189434-nrkvbdu4	75	8	can	can	AUX
cord-189434-nrkvbdu4	75	9	be	be	AUX
cord-189434-nrkvbdu4	75	10	learned	learn	VERB
cord-189434-nrkvbdu4	75	11	from	from	ADP
cord-189434-nrkvbdu4	75	12	an	an	DET
cord-189434-nrkvbdu4	75	13	analytical	analytical	ADJ
cord-189434-nrkvbdu4	75	14	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	75	15	viewpoint	viewpoint	NOUN
cord-189434-nrkvbdu4	75	16	on	on	ADP
cord-189434-nrkvbdu4	75	17	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	75	18	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	75	19	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	75	20	modelling	modelling	NOUN
cord-189434-nrkvbdu4	75	21	,	,	PUNCT
cord-189434-nrkvbdu4	75	22	the	the	DET
cord-189434-nrkvbdu4	75	23	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	75	24	re	re	ADJ
cord-189434-nrkvbdu4	75	25	-	-	ADJ
cord-189434-nrkvbdu4	75	26	parameterized	parameterized	ADJ
cord-189434-nrkvbdu4	75	27	version	version	NOUN
cord-189434-nrkvbdu4	75	28	of	of	ADP
cord-189434-nrkvbdu4	75	29	the	the	DET
cord-189434-nrkvbdu4	75	30	sir	sir	PROPN
cord-189434-nrkvbdu4	75	31	model	model	NOUN
cord-189434-nrkvbdu4	75	32	,	,	PUNCT
cord-189434-nrkvbdu4	75	33	based	base	VERB
cord-189434-nrkvbdu4	75	34	on	on	ADP
cord-189434-nrkvbdu4	75	35	the	the	DET
cord-189434-nrkvbdu4	75	36	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	75	37	in	in	ADP
cord-189434-nrkvbdu4	75	38	phase	phase	NOUN
cord-189434-nrkvbdu4	75	39	space	space	NOUN
cord-189434-nrkvbdu4	75	40	,	,	PUNCT
cord-189434-nrkvbdu4	75	41	is	be	AUX
cord-189434-nrkvbdu4	75	42	taken	take	VERB
cord-189434-nrkvbdu4	75	43	as	as	ADP
cord-189434-nrkvbdu4	75	44	the	the	DET
cord-189434-nrkvbdu4	75	45	point	point	NOUN
cord-189434-nrkvbdu4	75	46	of	of	ADP
cord-189434-nrkvbdu4	75	47	departure	departure	NOUN
cord-189434-nrkvbdu4	75	48	:	:	PUNCT
cord-189434-nrkvbdu4	75	49	building	build	VERB
cord-189434-nrkvbdu4	75	50	on	on	ADP
cord-189434-nrkvbdu4	75	51	this	this	DET
cord-189434-nrkvbdu4	75	52	compact	compact	ADJ
cord-189434-nrkvbdu4	75	53	representation	representation	NOUN
cord-189434-nrkvbdu4	75	54	,	,	PUNCT
cord-189434-nrkvbdu4	75	55	several	several	ADJ
cord-189434-nrkvbdu4	75	56	-analytical	-analytical	ADJ
cord-189434-nrkvbdu4	75	57	-	-	PUNCT
cord-189434-nrkvbdu4	75	58	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	75	59	-	-	PUNCT
cord-189434-nrkvbdu4	75	60	inspired	inspire	VERB
cord-189434-nrkvbdu4	75	61	-novel	-novel	ADJ
cord-189434-nrkvbdu4	75	62	vistas	vista	NOUN
cord-189434-nrkvbdu4	75	63	on	on	ADP
cord-189434-nrkvbdu4	75	64	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	75	65	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	75	66	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	75	67	that	that	PRON
cord-189434-nrkvbdu4	75	68	promise	promise	VERB
cord-189434-nrkvbdu4	75	69	fruitful	fruitful	ADJ
cord-189434-nrkvbdu4	75	70	research	research	NOUN
cord-189434-nrkvbdu4	75	71	avenues	avenue	NOUN
cord-189434-nrkvbdu4	75	72	for	for	ADP
cord-189434-nrkvbdu4	75	73	its	its	PRON
cord-189434-nrkvbdu4	75	74	modelling	modelling	NOUN
cord-189434-nrkvbdu4	75	75	are	be	AUX
cord-189434-nrkvbdu4	75	76	identified	identify	VERB
cord-189434-nrkvbdu4	75	77	in	in	ADP
cord-189434-nrkvbdu4	75	78	the	the	DET
cord-189434-nrkvbdu4	75	79	sequel	sequel	NOUN
cord-189434-nrkvbdu4	75	80	.	.	PUNCT
cord-189434-nrkvbdu4	76	1	vista	vista	PROPN
cord-189434-nrkvbdu4	76	2	1	1	NUM
cord-189434-nrkvbdu4	76	3	:	:	PUNCT
cord-189434-nrkvbdu4	76	4	allowing	allow	VERB
cord-189434-nrkvbdu4	76	5	for	for	ADP
cord-189434-nrkvbdu4	76	6	non	non	ADJ
cord-189434-nrkvbdu4	76	7	-	-	ADJ
cord-189434-nrkvbdu4	76	8	autonomous	autonomous	ADJ
cord-189434-nrkvbdu4	76	9	,	,	PUNCT
cord-189434-nrkvbdu4	76	10	i.e.	i.e.	X
cord-189434-nrkvbdu4	76	11	time	time	NOUN
cord-189434-nrkvbdu4	76	12	-	-	PUNCT
cord-189434-nrkvbdu4	76	13	dependent	dependent	ADJ
cord-189434-nrkvbdu4	76	14	generalized	generalize	VERB
cord-189434-nrkvbdu4	76	15	hamiltonians	hamiltonian	NOUN
cord-189434-nrkvbdu4	76	16	results	result	NOUN
cord-189434-nrkvbdu4	76	17	in	in	ADP
cord-189434-nrkvbdu4	76	18	the	the	DET
cord-189434-nrkvbdu4	76	19	generalized	generalized	ADJ
cord-189434-nrkvbdu4	76	20	representation	representation	NOUN
cord-189434-nrkvbdu4	76	21	z	z	PROPN
cord-189434-nrkvbdu4	76	22	•	•	PUNCT
cord-189434-nrkvbdu4	76	23	=	=	X
cord-189434-nrkvbdu4	76	24	j	j	X
cord-189434-nrkvbdu4	76	25	·	·	PUNCT
cord-189434-nrkvbdu4	76	26	g(z	g(z	PROPN
cord-189434-nrkvbdu4	76	27	,	,	PUNCT
cord-189434-nrkvbdu4	76	28	t	t	NOUN
cord-189434-nrkvbdu4	76	29	)	)	PUNCT
cord-189434-nrkvbdu4	76	30	.	.	PUNCT
cord-189434-nrkvbdu4	77	1	possible	possible	ADJ
cord-189434-nrkvbdu4	77	2	options	option	NOUN
cord-189434-nrkvbdu4	77	3	justifying	justify	VERB
cord-189434-nrkvbdu4	77	4	a	a	DET
cord-189434-nrkvbdu4	77	5	non	non	ADJ
cord-189434-nrkvbdu4	77	6	-	-	ADJ
cord-189434-nrkvbdu4	77	7	autonomous	autonomous	ADJ
cord-189434-nrkvbdu4	77	8	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	77	9	are	be	AUX
cord-189434-nrkvbdu4	77	10	for	for	ADP
cord-189434-nrkvbdu4	77	11	example	example	NOUN
cord-189434-nrkvbdu4	77	12	:	:	PUNCT
cord-189434-nrkvbdu4	77	13	option	option	NOUN
cord-189434-nrkvbdu4	77	14	a	a	PRON
cord-189434-nrkvbdu4	77	15	)	)	PUNCT
cord-189434-nrkvbdu4	77	16	various	various	ADJ
cord-189434-nrkvbdu4	77	17	lockdown	lockdown	NOUN
cord-189434-nrkvbdu4	77	18	measures	measure	NOUN
cord-189434-nrkvbdu4	77	19	(	(	PUNCT
cord-189434-nrkvbdu4	77	20	cancellation	cancellation	NOUN
cord-189434-nrkvbdu4	77	21	of	of	ADP
cord-189434-nrkvbdu4	77	22	large	large	ADJ
cord-189434-nrkvbdu4	77	23	events	event	NOUN
cord-189434-nrkvbdu4	77	24	,	,	PUNCT
cord-189434-nrkvbdu4	77	25	school	school	NOUN
cord-189434-nrkvbdu4	77	26	closing	closing	NOUN
cord-189434-nrkvbdu4	77	27	,	,	PUNCT
cord-189434-nrkvbdu4	77	28	contact	contact	NOUN
cord-189434-nrkvbdu4	77	29	limitations	limitation	NOUN
cord-189434-nrkvbdu4	77	30	,	,	PUNCT
cord-189434-nrkvbdu4	77	31	etc	etc	X
cord-189434-nrkvbdu4	77	32	)	)	PUNCT
cord-189434-nrkvbdu4	77	33	as	as	ADV
cord-189434-nrkvbdu4	77	34	well	well	ADV
cord-189434-nrkvbdu4	77	35	as	as	ADP
cord-189434-nrkvbdu4	77	36	their	their	PRON
cord-189434-nrkvbdu4	77	37	reversal	reversal	NOUN
cord-189434-nrkvbdu4	77	38	(	(	PUNCT
cord-189434-nrkvbdu4	77	39	exit	exit	NOUN
cord-189434-nrkvbdu4	77	40	strategies	strategy	NOUN
cord-189434-nrkvbdu4	77	41	)	)	PUNCT
cord-189434-nrkvbdu4	77	42	at	at	ADP
cord-189434-nrkvbdu4	77	43	discrete	discrete	ADJ
cord-189434-nrkvbdu4	77	44	points	point	NOUN
cord-189434-nrkvbdu4	77	45	in	in	ADP
cord-189434-nrkvbdu4	77	46	time	time	NOUN
cord-189434-nrkvbdu4	77	47	are	be	AUX
cord-189434-nrkvbdu4	77	48	modelled	model	VERB
cord-189434-nrkvbdu4	77	49	by	by	ADP
cord-189434-nrkvbdu4	77	50	time	time	NOUN
cord-189434-nrkvbdu4	77	51	-	-	PUNCT
cord-189434-nrkvbdu4	77	52	dependent	dependent	ADJ
cord-189434-nrkvbdu4	77	53	parameters	parameter	NOUN
cord-189434-nrkvbdu4	77	54	such	such	ADJ
cord-189434-nrkvbdu4	77	55	as	as	ADP
cord-189434-nrkvbdu4	77	56	for	for	ADP
cord-189434-nrkvbdu4	77	57	example	example	NOUN
cord-189434-nrkvbdu4	77	58	the	the	DET
cord-189434-nrkvbdu4	77	59	infection	infection	NOUN
cord-189434-nrkvbdu4	77	60	and	and	CCONJ
cord-189434-nrkvbdu4	77	61	the	the	DET
cord-189434-nrkvbdu4	77	62	recovery	recovery	NOUN
cord-189434-nrkvbdu4	77	63	rates	rate	NOUN
cord-189434-nrkvbdu4	77	64	β	β	PROPN
cord-189434-nrkvbdu4	77	65	=	=	NOUN
cord-189434-nrkvbdu4	77	66	β(t	β(t	PUNCT
cord-189434-nrkvbdu4	77	67	)	)	PUNCT
cord-189434-nrkvbdu4	77	68	and	and	CCONJ
cord-189434-nrkvbdu4	77	69	γ	γ	PROPN
cord-189434-nrkvbdu4	77	70	=	=	NOUN
cord-189434-nrkvbdu4	77	71	γ(t	γ(t	PROPN
cord-189434-nrkvbdu4	77	72	)	)	PUNCT
cord-189434-nrkvbdu4	77	73	,	,	PUNCT
cord-189434-nrkvbdu4	77	74	thus	thus	ADV
cord-189434-nrkvbdu4	77	75	making	make	VERB
cord-189434-nrkvbdu4	77	76	the	the	DET
cord-189434-nrkvbdu4	77	77	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	77	78	time	time	NOUN
cord-189434-nrkvbdu4	77	79	-	-	PUNCT
cord-189434-nrkvbdu4	77	80	dependent	dependent	ADJ
cord-189434-nrkvbdu4	77	81	.	.	PUNCT
cord-189434-nrkvbdu4	77	82	option	option	NOUN
cord-189434-nrkvbdu4	77	83	b	b	PROPN
cord-189434-nrkvbdu4	77	84	)	)	PUNCT
cord-189434-nrkvbdu4	77	85	various	various	ADJ
cord-189434-nrkvbdu4	77	86	modifications	modification	NOUN
cord-189434-nrkvbdu4	77	87	extend	extend	VERB
cord-189434-nrkvbdu4	77	88	the	the	DET
cord-189434-nrkvbdu4	77	89	classical	classical	ADJ
cord-189434-nrkvbdu4	77	90	sir	sir	NOUN
cord-189434-nrkvbdu4	77	91	model	model	NOUN
cord-189434-nrkvbdu4	77	92	to	to	PART
cord-189434-nrkvbdu4	77	93	account	account	VERB
cord-189434-nrkvbdu4	77	94	for	for	ADP
cord-189434-nrkvbdu4	77	95	further	further	ADJ
cord-189434-nrkvbdu4	77	96	compartments	compartment	NOUN
cord-189434-nrkvbdu4	77	97	such	such	ADJ
cord-189434-nrkvbdu4	77	98	as	as	ADP
cord-189434-nrkvbdu4	77	99	,	,	PUNCT
cord-189434-nrkvbdu4	77	100	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	77	101	,	,	PUNCT
cord-189434-nrkvbdu4	77	102	deceased	deceased	ADJ
cord-189434-nrkvbdu4	77	103	(	(	PUNCT
cord-189434-nrkvbdu4	77	104	sird	sird	PROPN
cord-189434-nrkvbdu4	77	105	model	model	PROPN
cord-189434-nrkvbdu4	77	106	)	)	PUNCT
cord-189434-nrkvbdu4	77	107	,	,	PUNCT
cord-189434-nrkvbdu4	77	108	exposed	expose	VERB
cord-189434-nrkvbdu4	77	109	(	(	PUNCT
cord-189434-nrkvbdu4	77	110	seir	seir	NOUN
cord-189434-nrkvbdu4	77	111	model	model	NOUN
cord-189434-nrkvbdu4	77	112	)	)	PUNCT
cord-189434-nrkvbdu4	77	113	,	,	PUNCT
cord-189434-nrkvbdu4	77	114	quarantined	quarantine	VERB
cord-189434-nrkvbdu4	77	115	(	(	PUNCT
cord-189434-nrkvbdu4	77	116	siqrd	siqrd	PROPN
cord-189434-nrkvbdu4	77	117	model	model	NOUN
cord-189434-nrkvbdu4	77	118	)	)	PUNCT
cord-189434-nrkvbdu4	77	119	,	,	PUNCT
cord-189434-nrkvbdu4	77	120	among	among	ADP
cord-189434-nrkvbdu4	77	121	many	many	ADJ
cord-189434-nrkvbdu4	77	122	other	other	ADJ
cord-189434-nrkvbdu4	77	123	,	,	PUNCT
cord-189434-nrkvbdu4	77	124	more	more	ADV
cord-189434-nrkvbdu4	77	125	sophisticated	sophisticated	ADJ
cord-189434-nrkvbdu4	77	126	options	option	NOUN
cord-189434-nrkvbdu4	77	127	,	,	PUNCT
cord-189434-nrkvbdu4	77	128	see	see	VERB
cord-189434-nrkvbdu4	77	129	[	[	X
cord-189434-nrkvbdu4	77	130	8	8	NUM
cord-189434-nrkvbdu4	77	131	,	,	PUNCT
cord-189434-nrkvbdu4	77	132	5	5	NUM
cord-189434-nrkvbdu4	77	133	]	]	PUNCT
cord-189434-nrkvbdu4	77	134	.	.	PUNCT
cord-189434-nrkvbdu4	78	1	sir+	sir+	PROPN
cord-189434-nrkvbdu4	78	2	models	model	NOUN
cord-189434-nrkvbdu4	78	3	of	of	ADP
cord-189434-nrkvbdu4	78	4	these	these	DET
cord-189434-nrkvbdu4	78	5	types	type	NOUN
cord-189434-nrkvbdu4	78	6	are	be	AUX
cord-189434-nrkvbdu4	78	7	then	then	ADV
cord-189434-nrkvbdu4	78	8	captured	capture	VERB
cord-189434-nrkvbdu4	78	9	by	by	ADP
cord-189434-nrkvbdu4	78	10	appropriately	appropriately	ADV
cord-189434-nrkvbdu4	78	11	extending	extend	VERB
cord-189434-nrkvbdu4	78	12	the	the	DET
cord-189434-nrkvbdu4	78	13	phase	phase	NOUN
cord-189434-nrkvbdu4	78	14	space	space	NOUN
cord-189434-nrkvbdu4	78	15	variables	variable	NOUN
cord-189434-nrkvbdu4	78	16	contribution	contribution	VERB
cord-189434-nrkvbdu4	78	17	to	to	ADP
cord-189434-nrkvbdu4	78	18	the	the	DET
cord-189434-nrkvbdu4	78	19	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	78	20	and	and	CCONJ
cord-189434-nrkvbdu4	78	21	its	its	PRON
cord-189434-nrkvbdu4	78	22	gradient	gradient	NOUN
cord-189434-nrkvbdu4	78	23	.	.	PUNCT
cord-189434-nrkvbdu4	79	1	option	option	NOUN
cord-189434-nrkvbdu4	79	2	c	c	PROPN
cord-189434-nrkvbdu4	79	3	)	)	PUNCT
cord-189434-nrkvbdu4	79	4	classical	classical	ADJ
cord-189434-nrkvbdu4	79	5	sir	sir	NOUN
cord-189434-nrkvbdu4	79	6	-	-	PUNCT
cord-189434-nrkvbdu4	79	7	type	type	NOUN
cord-189434-nrkvbdu4	79	8	compartment	compartment	NOUN
cord-189434-nrkvbdu4	79	9	based	base	VERB
cord-189434-nrkvbdu4	79	10	models	model	NOUN
cord-189434-nrkvbdu4	79	11	are	be	AUX
cord-189434-nrkvbdu4	79	12	coupled	couple	VERB
cord-189434-nrkvbdu4	79	13	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	79	14	differential	differential	ADJ
cord-189434-nrkvbdu4	79	15	equations	equation	NOUN
cord-189434-nrkvbdu4	79	16	(	(	PUNCT
cord-189434-nrkvbdu4	79	17	odes	ode	NOUN
cord-189434-nrkvbdu4	79	18	)	)	PUNCT
cord-189434-nrkvbdu4	79	19	.	.	PUNCT
cord-189434-nrkvbdu4	80	1	extending	extend	VERB
cord-189434-nrkvbdu4	80	2	the	the	DET
cord-189434-nrkvbdu4	80	3	ode	ode	NOUN
cord-189434-nrkvbdu4	80	4	-	-	PUNCT
cord-189434-nrkvbdu4	80	5	based	base	VERB
cord-189434-nrkvbdu4	80	6	sir	sir	NOUN
cord-189434-nrkvbdu4	80	7	-	-	PUNCT
cord-189434-nrkvbdu4	80	8	type	type	NOUN
cord-189434-nrkvbdu4	80	9	modelling	modelling	NOUN
cord-189434-nrkvbdu4	80	10	approach	approach	NOUN
cord-189434-nrkvbdu4	80	11	to	to	PART
cord-189434-nrkvbdu4	80	12	integro	integro	VERB
cord-189434-nrkvbdu4	80	13	differential	differential	ADJ
cord-189434-nrkvbdu4	80	14	equations	equation	NOUN
cord-189434-nrkvbdu4	80	15	allows	allow	VERB
cord-189434-nrkvbdu4	80	16	also	also	ADV
cord-189434-nrkvbdu4	80	17	considering	consider	VERB
cord-189434-nrkvbdu4	80	18	,	,	PUNCT
cord-189434-nrkvbdu4	80	19	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	80	20	,	,	PUNCT
cord-189434-nrkvbdu4	80	21	delay	delay	NOUN
cord-189434-nrkvbdu4	80	22	due	due	ADP
cord-189434-nrkvbdu4	80	23	to	to	ADP
cord-189434-nrkvbdu4	80	24	incubation	incubation	NOUN
cord-189434-nrkvbdu4	80	25	time	time	NOUN
cord-189434-nrkvbdu4	80	26	and	and	CCONJ
cord-189434-nrkvbdu4	80	27	infectious	infectious	ADJ
cord-189434-nrkvbdu4	80	28	period	period	NOUN
cord-189434-nrkvbdu4	80	29	,	,	PUNCT
cord-189434-nrkvbdu4	80	30	see	see	VERB
cord-189434-nrkvbdu4	80	31	[	[	X
cord-189434-nrkvbdu4	80	32	11	11	NUM
cord-189434-nrkvbdu4	80	33	]	]	PUNCT
cord-189434-nrkvbdu4	80	34	.	.	PUNCT
cord-189434-nrkvbdu4	81	1	for	for	ADP
cord-189434-nrkvbdu4	81	2	p	p	NOUN
cord-189434-nrkvbdu4	81	3	representing	represent	VERB
cord-189434-nrkvbdu4	81	4	relevant	relevant	ADJ
cord-189434-nrkvbdu4	81	5	parameters	parameter	NOUN
cord-189434-nrkvbdu4	81	6	,	,	PUNCT
cord-189434-nrkvbdu4	81	7	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	81	8	continuously	continuously	ADV
cord-189434-nrkvbdu4	81	9	distributed	distribute	VERB
cord-189434-nrkvbdu4	81	10	risk	risk	NOUN
cord-189434-nrkvbdu4	81	11	groups	group	NOUN
cord-189434-nrkvbdu4	81	12	and/or	and/or	CCONJ
cord-189434-nrkvbdu4	81	13	past	past	ADJ
cord-189434-nrkvbdu4	81	14	time	time	NOUN
cord-189434-nrkvbdu4	81	15	,	,	PUNCT
cord-189434-nrkvbdu4	81	16	from	from	ADP
cord-189434-nrkvbdu4	81	17	space	space	NOUN
cord-189434-nrkvbdu4	81	18	p	p	NOUN
cord-189434-nrkvbdu4	81	19	,	,	PUNCT
cord-189434-nrkvbdu4	81	20	the	the	DET
cord-189434-nrkvbdu4	81	21	right	right	ADJ
cord-189434-nrkvbdu4	81	22	-	-	PUNCT
cord-189434-nrkvbdu4	81	23	hand	hand	NOUN
cord-189434-nrkvbdu4	81	24	-	-	PUNCT
cord-189434-nrkvbdu4	81	25	side	side	NOUN
cord-189434-nrkvbdu4	81	26	of	of	ADP
cord-189434-nrkvbdu4	81	27	these	these	DET
cord-189434-nrkvbdu4	81	28	read	read	NOUN
cord-189434-nrkvbdu4	81	29	as	as	ADP
cord-189434-nrkvbdu4	81	30	g(z	g(z	PROPN
cord-189434-nrkvbdu4	81	31	,	,	PUNCT
cord-189434-nrkvbdu4	81	32	t	t	PROPN
cord-189434-nrkvbdu4	81	33	)	)	PUNCT
cord-189434-nrkvbdu4	81	34	=	=	NOUN
cord-189434-nrkvbdu4	81	35	p	p	X
cord-189434-nrkvbdu4	81	36	j	j	PROPN
cord-189434-nrkvbdu4	81	37	·	·	PUNCT
cord-189434-nrkvbdu4	81	38	γ(z	γ(z	PROPN
cord-189434-nrkvbdu4	81	39	,	,	PUNCT
cord-189434-nrkvbdu4	81	40	p	p	PROPN
cord-189434-nrkvbdu4	81	41	,	,	PUNCT
cord-189434-nrkvbdu4	81	42	t	t	PROPN
cord-189434-nrkvbdu4	81	43	)	)	PUNCT
cord-189434-nrkvbdu4	81	44	dp	dp	PROPN
cord-189434-nrkvbdu4	81	45	with	with	ADP
cord-189434-nrkvbdu4	81	46	γ(z	γ(z	PROPN
cord-189434-nrkvbdu4	81	47	,	,	PUNCT
cord-189434-nrkvbdu4	81	48	p	p	PROPN
cord-189434-nrkvbdu4	81	49	,	,	PUNCT
cord-189434-nrkvbdu4	81	50	t	t	PROPN
cord-189434-nrkvbdu4	81	51	)	)	PUNCT
cord-189434-nrkvbdu4	81	52	the	the	DET
cord-189434-nrkvbdu4	81	53	appropriate	appropriate	ADJ
cord-189434-nrkvbdu4	81	54	p	p	NOUN
cord-189434-nrkvbdu4	81	55	-	-	PUNCT
cord-189434-nrkvbdu4	81	56	density	density	NOUN
cord-189434-nrkvbdu4	81	57	of	of	ADP
cord-189434-nrkvbdu4	81	58	g(z	g(z	PROPN
cord-189434-nrkvbdu4	81	59	,	,	PUNCT
cord-189434-nrkvbdu4	81	60	t	t	NOUN
cord-189434-nrkvbdu4	81	61	)	)	PUNCT
cord-189434-nrkvbdu4	81	62	.	.	PUNCT
cord-189434-nrkvbdu4	82	1	allowing	allow	VERB
cord-189434-nrkvbdu4	82	2	for	for	ADP
cord-189434-nrkvbdu4	82	3	an	an	DET
cord-189434-nrkvbdu4	82	4	infinite	infinite	ADJ
cord-189434-nrkvbdu4	82	5	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	82	6	phase	phase	NOUN
cord-189434-nrkvbdu4	82	7	space	space	NOUN
cord-189434-nrkvbdu4	82	8	with	with	ADP
cord-189434-nrkvbdu4	82	9	its	its	PRON
cord-189434-nrkvbdu4	82	10	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	82	11	z	z	NOUN
cord-189434-nrkvbdu4	82	12	=	=	NOUN
cord-189434-nrkvbdu4	82	13	z(x	z(x	PROPN
cord-189434-nrkvbdu4	82	14	,	,	PUNCT
cord-189434-nrkvbdu4	82	15	t	t	NOUN
cord-189434-nrkvbdu4	82	16	)	)	PUNCT
cord-189434-nrkvbdu4	82	17	∈	∈	NOUN
cord-189434-nrkvbdu4	82	18	r	r	NOUN
cord-189434-nrkvbdu4	82	19	2	2	NUM
cord-189434-nrkvbdu4	82	20	+	+	NUM
cord-189434-nrkvbdu4	82	21	·	·	PUNCT
cord-189434-nrkvbdu4	82	22	·	·	PUNCT
cord-189434-nrkvbdu4	82	23	·	·	PUNCT
cord-189434-nrkvbdu4	82	24	defined	define	VERB
cord-189434-nrkvbdu4	82	25	as	as	ADP
cord-189434-nrkvbdu4	82	26	fields	field	NOUN
cord-189434-nrkvbdu4	82	27	in	in	ADP
cord-189434-nrkvbdu4	82	28	four	four	NUM
cord-189434-nrkvbdu4	82	29	-	-	PUNCT
cord-189434-nrkvbdu4	82	30	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	82	31	space	space	NOUN
cord-189434-nrkvbdu4	82	32	-	-	PUNCT
cord-189434-nrkvbdu4	82	33	time	time	NOUN
cord-189434-nrkvbdu4	82	34	,	,	PUNCT
cord-189434-nrkvbdu4	82	35	results	result	NOUN
cord-189434-nrkvbdu4	82	36	in	in	ADP
cord-189434-nrkvbdu4	82	37	the	the	DET
cord-189434-nrkvbdu4	82	38	generalized	generalized	ADJ
cord-189434-nrkvbdu4	82	39	representation	representation	NOUN
cord-189434-nrkvbdu4	82	40	here	here	ADV
cord-189434-nrkvbdu4	82	41	,	,	PUNCT
cord-189434-nrkvbdu4	82	42	the	the	DET
cord-189434-nrkvbdu4	82	43	right	right	ADJ
cord-189434-nrkvbdu4	82	44	-	-	PUNCT
cord-189434-nrkvbdu4	82	45	hand	hand	NOUN
cord-189434-nrkvbdu4	82	46	-	-	PUNCT
cord-189434-nrkvbdu4	82	47	side	side	NOUN
cord-189434-nrkvbdu4	82	48	is	be	AUX
cord-189434-nrkvbdu4	82	49	a	a	DET
cord-189434-nrkvbdu4	82	50	functional	functional	NOUN
cord-189434-nrkvbdu4	82	51	of	of	ADP
cord-189434-nrkvbdu4	82	52	the	the	DET
cord-189434-nrkvbdu4	82	53	phase	phase	NOUN
cord-189434-nrkvbdu4	82	54	space	space	NOUN
cord-189434-nrkvbdu4	82	55	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	82	56	rather	rather	ADV
cord-189434-nrkvbdu4	82	57	than	than	ADP
cord-189434-nrkvbdu4	82	58	a	a	DET
cord-189434-nrkvbdu4	82	59	function	function	NOUN
cord-189434-nrkvbdu4	82	60	.	.	PUNCT
cord-189434-nrkvbdu4	83	1	possible	possible	ADJ
cord-189434-nrkvbdu4	83	2	options	option	NOUN
cord-189434-nrkvbdu4	83	3	for	for	ADP
cord-189434-nrkvbdu4	83	4	an	an	DET
cord-189434-nrkvbdu4	83	5	infinite	infinite	ADJ
cord-189434-nrkvbdu4	83	6	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	83	7	phase	phase	NOUN
cord-189434-nrkvbdu4	83	8	space	space	NOUN
cord-189434-nrkvbdu4	83	9	are	be	AUX
cord-189434-nrkvbdu4	83	10	for	for	ADP
cord-189434-nrkvbdu4	83	11	example	example	NOUN
cord-189434-nrkvbdu4	83	12	:	:	PUNCT
cord-189434-nrkvbdu4	83	13	option	option	NOUN
cord-189434-nrkvbdu4	83	14	a	a	PRON
cord-189434-nrkvbdu4	83	15	)	)	PUNCT
cord-189434-nrkvbdu4	83	16	gradient	gradient	ADJ
cord-189434-nrkvbdu4	83	17	-	-	PUNCT
cord-189434-nrkvbdu4	83	18	type	type	NOUN
cord-189434-nrkvbdu4	83	19	models	model	NOUN
cord-189434-nrkvbdu4	83	20	,	,	PUNCT
cord-189434-nrkvbdu4	83	21	whereby	whereby	SCONJ
cord-189434-nrkvbdu4	83	22	the	the	DET
cord-189434-nrkvbdu4	83	23	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	83	24	depends	depend	VERB
cord-189434-nrkvbdu4	83	25	on	on	ADP
cord-189434-nrkvbdu4	83	26	the	the	DET
cord-189434-nrkvbdu4	83	27	phase	phase	NOUN
cord-189434-nrkvbdu4	83	28	space	space	NOUN
cord-189434-nrkvbdu4	83	29	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	83	30	z	z	NOUN
cord-189434-nrkvbdu4	83	31	=	=	X
cord-189434-nrkvbdu4	83	32	z(x	z(x	PROPN
cord-189434-nrkvbdu4	83	33	,	,	PUNCT
cord-189434-nrkvbdu4	83	34	t	t	NOUN
cord-189434-nrkvbdu4	83	35	)	)	PUNCT
cord-189434-nrkvbdu4	83	36	and	and	CCONJ
cord-189434-nrkvbdu4	83	37	their	their	PRON
cord-189434-nrkvbdu4	83	38	higher	high	ADJ
cord-189434-nrkvbdu4	83	39	spatial	spatial	ADJ
cord-189434-nrkvbdu4	83	40	gradients	gradient	NOUN
cord-189434-nrkvbdu4	83	41	consequently	consequently	ADV
cord-189434-nrkvbdu4	83	42	,	,	PUNCT
cord-189434-nrkvbdu4	83	43	the	the	DET
cord-189434-nrkvbdu4	83	44	right	right	ADJ
cord-189434-nrkvbdu4	83	45	-	-	PUNCT
cord-189434-nrkvbdu4	83	46	hand	hand	NOUN
cord-189434-nrkvbdu4	83	47	-	-	PUNCT
cord-189434-nrkvbdu4	83	48	side	side	NOUN
cord-189434-nrkvbdu4	83	49	follows	follow	VERB
cord-189434-nrkvbdu4	83	50	from	from	ADP
cord-189434-nrkvbdu4	83	51	the	the	DET
cord-189434-nrkvbdu4	83	52	variational	variational	ADJ
cord-189434-nrkvbdu4	83	53	derivative	derivative	NOUN
cord-189434-nrkvbdu4	83	54	of	of	ADP
cord-189434-nrkvbdu4	83	55	the	the	DET
cord-189434-nrkvbdu4	83	56	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	83	57	,	,	PUNCT
cord-189434-nrkvbdu4	83	58	rather	rather	ADV
cord-189434-nrkvbdu4	83	59	than	than	ADP
cord-189434-nrkvbdu4	83	60	from	from	ADP
cord-189434-nrkvbdu4	83	61	its	its	PRON
cord-189434-nrkvbdu4	83	62	gradient	gradient	NOUN
cord-189434-nrkvbdu4	83	63	.	.	PUNCT
cord-189434-nrkvbdu4	84	1	partial	partial	ADJ
cord-189434-nrkvbdu4	84	2	differential	differential	ADJ
cord-189434-nrkvbdu4	84	3	equations	equation	NOUN
cord-189434-nrkvbdu4	84	4	of	of	ADP
cord-189434-nrkvbdu4	84	5	reaction	reaction	NOUN
cord-189434-nrkvbdu4	84	6	-	-	PUNCT
cord-189434-nrkvbdu4	84	7	convectiondiffusion	convectiondiffusion	NOUN
cord-189434-nrkvbdu4	84	8	-	-	PUNCT
cord-189434-nrkvbdu4	84	9	type	type	NOUN
cord-189434-nrkvbdu4	84	10	describing	describe	VERB
cord-189434-nrkvbdu4	84	11	the	the	DET
cord-189434-nrkvbdu4	84	12	spatio	spatio	ADJ
cord-189434-nrkvbdu4	84	13	-	-	ADJ
cord-189434-nrkvbdu4	84	14	temporal	temporal	ADJ
cord-189434-nrkvbdu4	84	15	spread	spread	NOUN
cord-189434-nrkvbdu4	84	16	of	of	ADP
cord-189434-nrkvbdu4	84	17	infectious	infectious	ADJ
cord-189434-nrkvbdu4	84	18	diseases	disease	NOUN
cord-189434-nrkvbdu4	84	19	are	be	AUX
cord-189434-nrkvbdu4	84	20	thus	thus	ADV
cord-189434-nrkvbdu4	84	21	a	a	DET
cord-189434-nrkvbdu4	84	22	modelling	modelling	NOUN
cord-189434-nrkvbdu4	84	23	option	option	NOUN
cord-189434-nrkvbdu4	84	24	[	[	X
cord-189434-nrkvbdu4	84	25	27	27	NUM
cord-189434-nrkvbdu4	84	26	]	]	PUNCT
cord-189434-nrkvbdu4	84	27	.	.	PUNCT
cord-189434-nrkvbdu4	85	1	option	option	NOUN
cord-189434-nrkvbdu4	85	2	b	b	PROPN
cord-189434-nrkvbdu4	85	3	)	)	PUNCT
cord-189434-nrkvbdu4	85	4	integral	integral	ADJ
cord-189434-nrkvbdu4	85	5	-	-	PUNCT
cord-189434-nrkvbdu4	85	6	type	type	NOUN
cord-189434-nrkvbdu4	85	7	models	model	NOUN
cord-189434-nrkvbdu4	85	8	,	,	PUNCT
cord-189434-nrkvbdu4	85	9	whereby	whereby	ADV
cord-189434-nrkvbdu4	85	10	,	,	PUNCT
cord-189434-nrkvbdu4	85	11	similar	similar	ADJ
cord-189434-nrkvbdu4	85	12	to	to	ADP
cord-189434-nrkvbdu4	85	13	peridynamics	peridynamics	VERB
cord-189434-nrkvbdu4	85	14	formulations	formulation	NOUN
cord-189434-nrkvbdu4	85	15	[	[	PUNCT
cord-189434-nrkvbdu4	85	16	10	10	NUM
cord-189434-nrkvbdu4	85	17	]	]	PUNCT
cord-189434-nrkvbdu4	85	18	,	,	PUNCT
cord-189434-nrkvbdu4	85	19	the	the	DET
cord-189434-nrkvbdu4	85	20	righthand	righthand	NOUN
cord-189434-nrkvbdu4	85	21	-	-	PUNCT
cord-189434-nrkvbdu4	85	22	side	side	NOUN
cord-189434-nrkvbdu4	85	23	follows	follow	VERB
cord-189434-nrkvbdu4	85	24	from	from	ADP
cord-189434-nrkvbdu4	85	25	a	a	DET
cord-189434-nrkvbdu4	85	26	spatial	spatial	ADJ
cord-189434-nrkvbdu4	85	27	integration	integration	NOUN
cord-189434-nrkvbdu4	85	28	g	g	NOUN
cord-189434-nrkvbdu4	85	29	z(x	z(x	PROPN
cord-189434-nrkvbdu4	85	30	)	)	PUNCT
cord-189434-nrkvbdu4	85	31	,	,	PUNCT
cord-189434-nrkvbdu4	85	32	t	t	PROPN
cord-189434-nrkvbdu4	85	33	=	=	X
cord-189434-nrkvbdu4	85	34	x	x	X
cord-189434-nrkvbdu4	85	35	γ	γ	X
cord-189434-nrkvbdu4	85	36	z(x	z(x	NOUN
cord-189434-nrkvbdu4	85	37	)	)	PUNCT
cord-189434-nrkvbdu4	85	38	,	,	PUNCT
cord-189434-nrkvbdu4	85	39	x	x	PROPN
cord-189434-nrkvbdu4	85	40	,	,	PUNCT
cord-189434-nrkvbdu4	85	41	t	t	PROPN
cord-189434-nrkvbdu4	85	42	dx	dx	PROPN
cord-189434-nrkvbdu4	85	43	over	over	ADP
cord-189434-nrkvbdu4	85	44	a	a	DET
cord-189434-nrkvbdu4	85	45	cut	cut	VERB
cord-189434-nrkvbdu4	85	46	-	-	PUNCT
cord-189434-nrkvbdu4	85	47	off	off	ADP
cord-189434-nrkvbdu4	85	48	domain	domain	NOUN
cord-189434-nrkvbdu4	85	49	x	x	X
cord-189434-nrkvbdu4	85	50	(	(	PUNCT
cord-189434-nrkvbdu4	85	51	horizon	horizon	NOUN
cord-189434-nrkvbdu4	85	52	)	)	PUNCT
cord-189434-nrkvbdu4	85	53	that	that	PRON
cord-189434-nrkvbdu4	85	54	covers	cover	VERB
cord-189434-nrkvbdu4	85	55	spatial	spatial	ADJ
cord-189434-nrkvbdu4	85	56	interaction	interaction	NOUN
cord-189434-nrkvbdu4	85	57	.	.	PUNCT
cord-189434-nrkvbdu4	86	1	vista	vista	PROPN
cord-189434-nrkvbdu4	86	2	3	3	NUM
cord-189434-nrkvbdu4	86	3	:	:	PUNCT
cord-189434-nrkvbdu4	86	4	allowing	allow	VERB
cord-189434-nrkvbdu4	86	5	for	for	ADP
cord-189434-nrkvbdu4	86	6	an	an	DET
cord-189434-nrkvbdu4	86	7	finite	finite	ADJ
cord-189434-nrkvbdu4	86	8	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	86	9	phase	phase	NOUN
cord-189434-nrkvbdu4	86	10	space	space	NOUN
cord-189434-nrkvbdu4	86	11	with	with	ADP
cord-189434-nrkvbdu4	86	12	its	its	PRON
cord-189434-nrkvbdu4	86	13	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	86	14	z	z	NOUN
cord-189434-nrkvbdu4	86	15	∈	∈	NOUN
cord-189434-nrkvbdu4	86	16	r	r	NOUN
cord-189434-nrkvbdu4	87	1	[	[	X
cord-189434-nrkvbdu4	87	2	2	2	NUM
cord-189434-nrkvbdu4	87	3	+	+	SYM
cord-189434-nrkvbdu4	87	4	·	·	PUNCT
cord-189434-nrkvbdu4	87	5	·	·	PUNCT
cord-189434-nrkvbdu4	87	6	·	·	PUNCT
cord-189434-nrkvbdu4	87	7	]	]	X
cord-189434-nrkvbdu4	87	8	n	n	CCONJ
cord-189434-nrkvbdu4	87	9	defined	define	VERB
cord-189434-nrkvbdu4	87	10	as	as	ADP
cord-189434-nrkvbdu4	87	11	column	column	NOUN
cord-189434-nrkvbdu4	87	12	matrices	matrix	NOUN
cord-189434-nrkvbdu4	87	13	,	,	PUNCT
cord-189434-nrkvbdu4	87	14	results	result	NOUN
cord-189434-nrkvbdu4	87	15	in	in	ADP
cord-189434-nrkvbdu4	87	16	the	the	DET
cord-189434-nrkvbdu4	87	17	generalized	generalized	ADJ
cord-189434-nrkvbdu4	87	18	representation	representation	NOUN
cord-189434-nrkvbdu4	87	19	possible	possible	ADJ
cord-189434-nrkvbdu4	87	20	options	option	NOUN
cord-189434-nrkvbdu4	87	21	for	for	ADP
cord-189434-nrkvbdu4	87	22	an	an	DET
cord-189434-nrkvbdu4	87	23	finite	finite	ADJ
cord-189434-nrkvbdu4	87	24	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	87	25	phase	phase	NOUN
cord-189434-nrkvbdu4	87	26	space	space	NOUN
cord-189434-nrkvbdu4	87	27	are	be	AUX
cord-189434-nrkvbdu4	87	28	for	for	ADP
cord-189434-nrkvbdu4	87	29	example	example	NOUN
cord-189434-nrkvbdu4	87	30	:	:	PUNCT
cord-189434-nrkvbdu4	87	31	option	option	NOUN
cord-189434-nrkvbdu4	87	32	a	a	DET
cord-189434-nrkvbdu4	87	33	)	)	PUNCT
cord-189434-nrkvbdu4	87	34	partition	partition	NOUN
cord-189434-nrkvbdu4	87	35	of	of	ADP
cord-189434-nrkvbdu4	87	36	the	the	DET
cord-189434-nrkvbdu4	87	37	entire	entire	ADJ
cord-189434-nrkvbdu4	87	38	population	population	NOUN
cord-189434-nrkvbdu4	87	39	into	into	ADP
cord-189434-nrkvbdu4	87	40	sub	sub	NOUN
cord-189434-nrkvbdu4	87	41	-	-	NOUN
cord-189434-nrkvbdu4	87	42	populations	population	NOUN
cord-189434-nrkvbdu4	87	43	,	,	PUNCT
cord-189434-nrkvbdu4	87	44	thereby	thereby	ADV
cord-189434-nrkvbdu4	87	45	separately	separately	ADV
cord-189434-nrkvbdu4	87	46	considering	consider	VERB
cord-189434-nrkvbdu4	87	47	different	different	ADJ
cord-189434-nrkvbdu4	87	48	age	age	NOUN
cord-189434-nrkvbdu4	87	49	/	/	SYM
cord-189434-nrkvbdu4	87	50	gender	gender	NOUN
cord-189434-nrkvbdu4	87	51	/	/	SYM
cord-189434-nrkvbdu4	87	52	risk	risk	NOUN
cord-189434-nrkvbdu4	87	53	groups	group	NOUN
cord-189434-nrkvbdu4	87	54	,	,	PUNCT
cord-189434-nrkvbdu4	87	55	see	see	VERB
cord-189434-nrkvbdu4	87	56	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	87	57	[	[	X
cord-189434-nrkvbdu4	87	58	20	20	NUM
cord-189434-nrkvbdu4	87	59	]	]	X
cord-189434-nrkvbdu4	87	60	z	z	X
cord-189434-nrkvbdu4	87	61	=	=	NOUN
cord-189434-nrkvbdu4	87	62	[	[	X
cord-189434-nrkvbdu4	87	63	z	z	NOUN
cord-189434-nrkvbdu4	87	64	pop	pop	NOUN
cord-189434-nrkvbdu4	87	65	1	1	NUM
cord-189434-nrkvbdu4	87	66	,	,	PUNCT
cord-189434-nrkvbdu4	87	67	·	·	PUNCT
cord-189434-nrkvbdu4	87	68	·	·	PUNCT
cord-189434-nrkvbdu4	87	69	·	·	PUNCT
cord-189434-nrkvbdu4	87	70	,	,	PUNCT
cord-189434-nrkvbdu4	87	71	z	z	NOUN
cord-189434-nrkvbdu4	87	72	pop	pop	NOUN
cord-189434-nrkvbdu4	87	73	max	max	PROPN
cord-189434-nrkvbdu4	87	74	]	]	PUNCT
cord-189434-nrkvbdu4	87	75	.	.	PUNCT
cord-189434-nrkvbdu4	87	76	option	option	PROPN
cord-189434-nrkvbdu4	87	77	b	b	PROPN
cord-189434-nrkvbdu4	87	78	)	)	PUNCT
cord-189434-nrkvbdu4	87	79	partition	partition	NOUN
cord-189434-nrkvbdu4	87	80	into	into	ADP
cord-189434-nrkvbdu4	87	81	various	various	ADJ
cord-189434-nrkvbdu4	87	82	geographical	geographical	ADJ
cord-189434-nrkvbdu4	87	83	locations	location	NOUN
cord-189434-nrkvbdu4	87	84	in	in	ADP
cord-189434-nrkvbdu4	87	85	general	general	ADJ
cord-189434-nrkvbdu4	87	86	network	network	NOUN
cord-189434-nrkvbdu4	87	87	models	model	NOUN
cord-189434-nrkvbdu4	87	88	accounting	account	VERB
cord-189434-nrkvbdu4	87	89	for	for	ADP
cord-189434-nrkvbdu4	87	90	the	the	DET
cord-189434-nrkvbdu4	87	91	spatio	spatio	ADJ
cord-189434-nrkvbdu4	87	92	-	-	ADJ
cord-189434-nrkvbdu4	87	93	temporal	temporal	ADJ
cord-189434-nrkvbdu4	87	94	spread	spread	NOUN
cord-189434-nrkvbdu4	87	95	of	of	ADP
cord-189434-nrkvbdu4	87	96	infectious	infectious	ADJ
cord-189434-nrkvbdu4	87	97	diseases	disease	NOUN
cord-189434-nrkvbdu4	87	98	,	,	PUNCT
cord-189434-nrkvbdu4	87	99	see	see	VERB
cord-189434-nrkvbdu4	87	100	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	87	101	[	[	X
cord-189434-nrkvbdu4	87	102	26	26	NUM
cord-189434-nrkvbdu4	87	103	]	]	X
cord-189434-nrkvbdu4	87	104	z	z	X
cord-189434-nrkvbdu4	87	105	=	=	NOUN
cord-189434-nrkvbdu4	87	106	[	[	X
cord-189434-nrkvbdu4	87	107	z	z	PROPN
cord-189434-nrkvbdu4	87	108	loc	loc	PROPN
cord-189434-nrkvbdu4	87	109	1	1	NUM
cord-189434-nrkvbdu4	87	110	,	,	PUNCT
cord-189434-nrkvbdu4	87	111	·	·	PUNCT
cord-189434-nrkvbdu4	87	112	·	·	PUNCT
cord-189434-nrkvbdu4	87	113	·	·	PUNCT
cord-189434-nrkvbdu4	87	114	,	,	PUNCT
cord-189434-nrkvbdu4	87	115	z	z	NOUN
cord-189434-nrkvbdu4	87	116	locmax	locmax	NOUN
cord-189434-nrkvbdu4	87	117	]	]	PUNCT
cord-189434-nrkvbdu4	87	118	.	.	PUNCT
cord-189434-nrkvbdu4	88	1	option	option	NOUN
cord-189434-nrkvbdu4	88	2	c	c	PROPN
cord-189434-nrkvbdu4	88	3	)	)	PUNCT
cord-189434-nrkvbdu4	88	4	partition	partition	NOUN
cord-189434-nrkvbdu4	88	5	into	into	ADP
cord-189434-nrkvbdu4	88	6	multiple	multiple	ADJ
cord-189434-nrkvbdu4	88	7	virus	virus	NOUN
cord-189434-nrkvbdu4	88	8	strains	strain	VERB
cord-189434-nrkvbdu4	88	9	providing	provide	VERB
cord-189434-nrkvbdu4	88	10	for	for	ADP
cord-189434-nrkvbdu4	88	11	generic	generic	ADJ
cord-189434-nrkvbdu4	88	12	infectious	infectious	ADJ
cord-189434-nrkvbdu4	88	13	diseases	disease	NOUN
cord-189434-nrkvbdu4	88	14	,	,	PUNCT
cord-189434-nrkvbdu4	88	15	see	see	VERB
cord-189434-nrkvbdu4	88	16	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	88	17	[	[	X
cord-189434-nrkvbdu4	88	18	14	14	NUM
cord-189434-nrkvbdu4	88	19	]	]	X
cord-189434-nrkvbdu4	88	20	z	z	X
cord-189434-nrkvbdu4	88	21	=	=	NOUN
cord-189434-nrkvbdu4	89	1	[	[	X
cord-189434-nrkvbdu4	89	2	z	z	X
cord-189434-nrkvbdu4	89	3	vir	vir	PROPN
cord-189434-nrkvbdu4	89	4	1	1	NUM
cord-189434-nrkvbdu4	89	5	,	,	PUNCT
cord-189434-nrkvbdu4	89	6	·	·	PUNCT
cord-189434-nrkvbdu4	89	7	·	·	PUNCT
cord-189434-nrkvbdu4	89	8	·	·	PUNCT
cord-189434-nrkvbdu4	89	9	,	,	PUNCT
cord-189434-nrkvbdu4	89	10	z	z	NOUN
cord-189434-nrkvbdu4	89	11	virmax	virmax	NOUN
cord-189434-nrkvbdu4	89	12	]	]	PUNCT
cord-189434-nrkvbdu4	89	13	.	.	PUNCT
cord-189434-nrkvbdu4	90	1	capturing	capture	VERB
cord-189434-nrkvbdu4	90	2	the	the	DET
cord-189434-nrkvbdu4	90	3	interactions	interaction	NOUN
cord-189434-nrkvbdu4	90	4	among	among	ADP
cord-189434-nrkvbdu4	90	5	the	the	DET
cord-189434-nrkvbdu4	90	6	various	various	ADJ
cord-189434-nrkvbdu4	90	7	partitions	partition	NOUN
cord-189434-nrkvbdu4	90	8	in	in	ADP
cord-189434-nrkvbdu4	90	9	a	a	DET
cord-189434-nrkvbdu4	90	10	network	network	NOUN
cord-189434-nrkvbdu4	90	11	is	be	AUX
cord-189434-nrkvbdu4	90	12	then	then	ADV
cord-189434-nrkvbdu4	90	13	reflected	reflect	VERB
cord-189434-nrkvbdu4	90	14	by	by	ADP
cord-189434-nrkvbdu4	90	15	the	the	DET
cord-189434-nrkvbdu4	90	16	off	off	ADV
cord-189434-nrkvbdu4	90	17	-	-	PUNCT
cord-189434-nrkvbdu4	90	18	diagonal	diagonal	ADJ
cord-189434-nrkvbdu4	90	19	terms	term	NOUN
cord-189434-nrkvbdu4	90	20	in	in	ADP
cord-189434-nrkvbdu4	90	21	the	the	DET
cord-189434-nrkvbdu4	90	22	hessian	hessian	ADJ
cord-189434-nrkvbdu4	90	23	h	h	NOUN
cord-189434-nrkvbdu4	90	24	:	:	PUNCT
cord-189434-nrkvbdu4	90	25	=	=	PROPN
cord-189434-nrkvbdu4	90	26	∂	∂	NOUN
cord-189434-nrkvbdu4	90	27	2	2	NUM
cord-189434-nrkvbdu4	90	28	zz	zz	PROPN
cord-189434-nrkvbdu4	90	29	h	h	NOUN
cord-189434-nrkvbdu4	90	30	of	of	ADP
cord-189434-nrkvbdu4	90	31	the	the	DET
cord-189434-nrkvbdu4	90	32	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	90	33	.	.	PUNCT
cord-189434-nrkvbdu4	91	1	vista	vista	PROPN
cord-189434-nrkvbdu4	91	2	4	4	NUM
cord-189434-nrkvbdu4	91	3	:	:	PUNCT
cord-189434-nrkvbdu4	91	4	for	for	ADP
cord-189434-nrkvbdu4	91	5	a	a	DET
cord-189434-nrkvbdu4	91	6	pandemic	pandemic	ADJ
cord-189434-nrkvbdu4	91	7	such	such	ADJ
cord-189434-nrkvbdu4	91	8	as	as	ADP
cord-189434-nrkvbdu4	91	9	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	91	10	,	,	PUNCT
cord-189434-nrkvbdu4	91	11	spatial	spatial	ADJ
cord-189434-nrkvbdu4	91	12	(	(	PUNCT
cord-189434-nrkvbdu4	91	13	geographical	geographical	ADJ
cord-189434-nrkvbdu4	91	14	)	)	PUNCT
cord-189434-nrkvbdu4	91	15	resolution	resolution	NOUN
cord-189434-nrkvbdu4	91	16	,	,	PUNCT
cord-189434-nrkvbdu4	91	17	i.e.	i.e.	X
cord-189434-nrkvbdu4	91	18	resolution	resolution	NOUN
cord-189434-nrkvbdu4	91	19	of	of	ADP
cord-189434-nrkvbdu4	91	20	a	a	DET
cord-189434-nrkvbdu4	91	21	network	network	NOUN
cord-189434-nrkvbdu4	91	22	is	be	AUX
cord-189434-nrkvbdu4	91	23	required	require	VERB
cord-189434-nrkvbdu4	91	24	at	at	ADP
cord-189434-nrkvbdu4	91	25	multiple	multiple	ADJ
cord-189434-nrkvbdu4	91	26	scales	scale	NOUN
cord-189434-nrkvbdu4	91	27	:	:	PUNCT
cord-189434-nrkvbdu4	91	28	at	at	ADP
cord-189434-nrkvbdu4	91	29	the	the	DET
cord-189434-nrkvbdu4	91	30	global	global	ADJ
cord-189434-nrkvbdu4	91	31	(	(	PUNCT
cord-189434-nrkvbdu4	91	32	macro	macro	ADJ
cord-189434-nrkvbdu4	91	33	)	)	PUNCT
cord-189434-nrkvbdu4	91	34	scale	scale	NOUN
cord-189434-nrkvbdu4	91	35	,	,	PUNCT
cord-189434-nrkvbdu4	91	36	i.e.	i.e.	X
cord-189434-nrkvbdu4	91	37	for	for	ADP
cord-189434-nrkvbdu4	91	38	the	the	DET
cord-189434-nrkvbdu4	91	39	entire	entire	ADJ
cord-189434-nrkvbdu4	91	40	globe	globe	NOUN
cord-189434-nrkvbdu4	91	41	;	;	PUNCT
cord-189434-nrkvbdu4	91	42	at	at	ADP
cord-189434-nrkvbdu4	91	43	the	the	DET
cord-189434-nrkvbdu4	91	44	medium	medium	ADJ
cord-189434-nrkvbdu4	91	45	(	(	PUNCT
cord-189434-nrkvbdu4	91	46	meso	meso	PROPN
cord-189434-nrkvbdu4	91	47	)	)	PUNCT
cord-189434-nrkvbdu4	91	48	scale	scale	NOUN
cord-189434-nrkvbdu4	91	49	,	,	PUNCT
cord-189434-nrkvbdu4	91	50	i.e.	i.e.	X
cord-189434-nrkvbdu4	91	51	for	for	ADP
cord-189434-nrkvbdu4	91	52	individual	individual	ADJ
cord-189434-nrkvbdu4	91	53	countries	country	NOUN
cord-189434-nrkvbdu4	91	54	;	;	PUNCT
cord-189434-nrkvbdu4	91	55	and	and	CCONJ
cord-189434-nrkvbdu4	91	56	at	at	ADP
cord-189434-nrkvbdu4	91	57	the	the	DET
cord-189434-nrkvbdu4	91	58	local	local	ADJ
cord-189434-nrkvbdu4	91	59	(	(	PUNCT
cord-189434-nrkvbdu4	91	60	micro	micro	ADJ
cord-189434-nrkvbdu4	91	61	)	)	PUNCT
cord-189434-nrkvbdu4	91	62	scale	scale	NOUN
cord-189434-nrkvbdu4	91	63	,	,	PUNCT
cord-189434-nrkvbdu4	91	64	i.e.	i.e.	X
cord-189434-nrkvbdu4	91	65	for	for	ADP
cord-189434-nrkvbdu4	91	66	individual	individual	ADJ
cord-189434-nrkvbdu4	91	67	cities	city	NOUN
cord-189434-nrkvbdu4	91	68	/	/	SYM
cord-189434-nrkvbdu4	91	69	communities	community	NOUN
cord-189434-nrkvbdu4	91	70	.	.	PUNCT
cord-189434-nrkvbdu4	92	1	a	a	DET
cord-189434-nrkvbdu4	92	2	fully	fully	ADV
cord-189434-nrkvbdu4	92	3	detailed	detailed	ADJ
cord-189434-nrkvbdu4	92	4	spatial	spatial	ADJ
cord-189434-nrkvbdu4	92	5	resolution	resolution	NOUN
cord-189434-nrkvbdu4	92	6	at	at	ADP
cord-189434-nrkvbdu4	92	7	the	the	DET
cord-189434-nrkvbdu4	92	8	local	local	ADJ
cord-189434-nrkvbdu4	92	9	(	(	PUNCT
cord-189434-nrkvbdu4	92	10	micro	micro	ADJ
cord-189434-nrkvbdu4	92	11	)	)	PUNCT
cord-189434-nrkvbdu4	92	12	scale	scale	NOUN
cord-189434-nrkvbdu4	92	13	for	for	ADP
cord-189434-nrkvbdu4	92	14	the	the	DET
cord-189434-nrkvbdu4	92	15	entire	entire	ADJ
cord-189434-nrkvbdu4	92	16	globe	globe	NOUN
cord-189434-nrkvbdu4	92	17	is	be	AUX
cord-189434-nrkvbdu4	92	18	computationally	computationally	ADV
cord-189434-nrkvbdu4	92	19	prohibitive	prohibitive	ADJ
cord-189434-nrkvbdu4	92	20	,	,	PUNCT
cord-189434-nrkvbdu4	92	21	moreover	moreover	ADV
cord-189434-nrkvbdu4	92	22	,	,	PUNCT
cord-189434-nrkvbdu4	92	23	most	most	ADV
cord-189434-nrkvbdu4	92	24	often	often	ADV
cord-189434-nrkvbdu4	92	25	an	an	DET
cord-189434-nrkvbdu4	92	26	overkill	overkill	ADJ
cord-189434-nrkvbdu4	92	27	degree	degree	NOUN
cord-189434-nrkvbdu4	92	28	of	of	ADP
cord-189434-nrkvbdu4	92	29	detail	detail	NOUN
cord-189434-nrkvbdu4	92	30	is	be	AUX
cord-189434-nrkvbdu4	92	31	also	also	ADV
cord-189434-nrkvbdu4	92	32	not	not	PART
cord-189434-nrkvbdu4	92	33	needed	need	VERB
cord-189434-nrkvbdu4	92	34	and/or	and/or	CCONJ
cord-189434-nrkvbdu4	92	35	not	not	PART
cord-189434-nrkvbdu4	92	36	possible	possible	ADJ
cord-189434-nrkvbdu4	92	37	due	due	ADP
cord-189434-nrkvbdu4	92	38	to	to	ADP
cord-189434-nrkvbdu4	92	39	the	the	DET
cord-189434-nrkvbdu4	92	40	lack	lack	NOUN
cord-189434-nrkvbdu4	92	41	of	of	ADP
cord-189434-nrkvbdu4	92	42	data	datum	NOUN
cord-189434-nrkvbdu4	92	43	.	.	PUNCT
cord-189434-nrkvbdu4	93	1	however	however	ADV
cord-189434-nrkvbdu4	93	2	,	,	PUNCT
cord-189434-nrkvbdu4	93	3	the	the	DET
cord-189434-nrkvbdu4	93	4	spatial	spatial	ADJ
cord-189434-nrkvbdu4	93	5	resolution	resolution	NOUN
cord-189434-nrkvbdu4	93	6	shall	shall	AUX
cord-189434-nrkvbdu4	93	7	be	be	AUX
cord-189434-nrkvbdu4	93	8	adaptive	adaptive	ADJ
cord-189434-nrkvbdu4	93	9	to	to	ADP
cord-189434-nrkvbdu4	93	10	the	the	DET
cord-189434-nrkvbdu4	93	11	quantity	quantity	NOUN
cord-189434-nrkvbdu4	93	12	of	of	ADP
cord-189434-nrkvbdu4	93	13	interest	interest	NOUN
cord-189434-nrkvbdu4	93	14	,	,	PUNCT
cord-189434-nrkvbdu4	93	15	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	93	16	to	to	PART
cord-189434-nrkvbdu4	93	17	study	study	VERB
cord-189434-nrkvbdu4	93	18	the	the	DET
cord-189434-nrkvbdu4	93	19	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	93	20	of	of	ADP
cord-189434-nrkvbdu4	93	21	infectious	infectious	ADJ
cord-189434-nrkvbdu4	93	22	disease	disease	NOUN
cord-189434-nrkvbdu4	93	23	spread	spread	VERB
cord-189434-nrkvbdu4	93	24	in	in	ADP
cord-189434-nrkvbdu4	93	25	a	a	DET
cord-189434-nrkvbdu4	93	26	particular	particular	ADJ
cord-189434-nrkvbdu4	93	27	city	city	NOUN
cord-189434-nrkvbdu4	93	28	/	/	SYM
cord-189434-nrkvbdu4	93	29	community	community	NOUN
cord-189434-nrkvbdu4	93	30	,	,	PUNCT
cord-189434-nrkvbdu4	93	31	only	only	ADV
cord-189434-nrkvbdu4	93	32	the	the	DET
cord-189434-nrkvbdu4	93	33	integral	integral	ADJ
cord-189434-nrkvbdu4	93	34	results	result	NOUN
cord-189434-nrkvbdu4	93	35	of	of	ADP
cord-189434-nrkvbdu4	93	36	more	more	ADJ
cord-189434-nrkvbdu4	93	37	remote	remote	ADJ
cord-189434-nrkvbdu4	93	38	locations	location	NOUN
cord-189434-nrkvbdu4	93	39	on	on	ADP
cord-189434-nrkvbdu4	93	40	the	the	DET
cord-189434-nrkvbdu4	93	41	globe	globe	NOUN
cord-189434-nrkvbdu4	93	42	matter	matter	NOUN
cord-189434-nrkvbdu4	93	43	.	.	PUNCT
cord-189434-nrkvbdu4	94	1	these	these	PRON
cord-189434-nrkvbdu4	94	2	can	can	AUX
cord-189434-nrkvbdu4	94	3	be	be	AUX
cord-189434-nrkvbdu4	94	4	captured	capture	VERB
cord-189434-nrkvbdu4	94	5	by	by	ADP
cord-189434-nrkvbdu4	94	6	a	a	DET
cord-189434-nrkvbdu4	94	7	reduced	reduce	VERB
cord-189434-nrkvbdu4	94	8	resolution	resolution	NOUN
cord-189434-nrkvbdu4	94	9	of	of	ADP
cord-189434-nrkvbdu4	94	10	the	the	DET
cord-189434-nrkvbdu4	94	11	network	network	NOUN
cord-189434-nrkvbdu4	94	12	in	in	ADP
cord-189434-nrkvbdu4	94	13	that	that	DET
cord-189434-nrkvbdu4	94	14	geographical	geographical	ADJ
cord-189434-nrkvbdu4	94	15	remote	remote	ADJ
cord-189434-nrkvbdu4	94	16	locations	location	NOUN
cord-189434-nrkvbdu4	94	17	.	.	PUNCT
cord-189434-nrkvbdu4	95	1	this	this	PRON
cord-189434-nrkvbdu4	95	2	asks	ask	VERB
cord-189434-nrkvbdu4	95	3	for	for	ADP
cord-189434-nrkvbdu4	95	4	a	a	DET
cord-189434-nrkvbdu4	95	5	true	true	ADJ
cord-189434-nrkvbdu4	95	6	multi	multi	ADJ
cord-189434-nrkvbdu4	95	7	-	-	ADJ
cord-189434-nrkvbdu4	95	8	scale	scale	ADJ
cord-189434-nrkvbdu4	95	9	approach	approach	NOUN
cord-189434-nrkvbdu4	95	10	that	that	SCONJ
cord-189434-nrkvbdu4	95	11	adaptively	adaptively	ADV
cord-189434-nrkvbdu4	95	12	zooms	zoom	VERB
cord-189434-nrkvbdu4	95	13	in	in	ADP
cord-189434-nrkvbdu4	95	14	only	only	ADV
cord-189434-nrkvbdu4	95	15	where	where	SCONJ
cord-189434-nrkvbdu4	95	16	needed	need	VERB
cord-189434-nrkvbdu4	95	17	.	.	PUNCT
cord-189434-nrkvbdu4	96	1	possible	possible	ADJ
cord-189434-nrkvbdu4	96	2	options	option	NOUN
cord-189434-nrkvbdu4	96	3	for	for	ADP
cord-189434-nrkvbdu4	96	4	multi	multi	NOUN
cord-189434-nrkvbdu4	96	5	-	-	ADJ
cord-189434-nrkvbdu4	96	6	scaling	scale	VERB
cord-189434-nrkvbdu4	96	7	are	be	AUX
cord-189434-nrkvbdu4	96	8	for	for	ADP
cord-189434-nrkvbdu4	96	9	example	example	NOUN
cord-189434-nrkvbdu4	96	10	:	:	PUNCT
cord-189434-nrkvbdu4	96	11	option	option	NOUN
cord-189434-nrkvbdu4	96	12	a	a	DET
cord-189434-nrkvbdu4	96	13	)	)	PUNCT
cord-189434-nrkvbdu4	96	14	vertical	vertical	ADJ
cord-189434-nrkvbdu4	96	15	coupling	coupling	NOUN
cord-189434-nrkvbdu4	96	16	of	of	ADP
cord-189434-nrkvbdu4	96	17	scales	scale	NOUN
cord-189434-nrkvbdu4	96	18	relies	rely	VERB
cord-189434-nrkvbdu4	96	19	on	on	ADP
cord-189434-nrkvbdu4	96	20	the	the	DET
cord-189434-nrkvbdu4	96	21	assumption	assumption	NOUN
cord-189434-nrkvbdu4	96	22	that	that	SCONJ
cord-189434-nrkvbdu4	96	23	the	the	DET
cord-189434-nrkvbdu4	96	24	two	two	NUM
cord-189434-nrkvbdu4	96	25	scales	scale	NOUN
cord-189434-nrkvbdu4	96	26	considered	consider	VERB
cord-189434-nrkvbdu4	96	27	are	be	AUX
cord-189434-nrkvbdu4	96	28	sufficiently	sufficiently	ADV
cord-189434-nrkvbdu4	96	29	separated	separate	VERB
cord-189434-nrkvbdu4	96	30	,	,	PUNCT
cord-189434-nrkvbdu4	96	31	see	see	VERB
cord-189434-nrkvbdu4	96	32	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	96	33	[	[	X
cord-189434-nrkvbdu4	96	34	25	25	NUM
cord-189434-nrkvbdu4	96	35	]	]	PUNCT
cord-189434-nrkvbdu4	96	36	.	.	PUNCT
cord-189434-nrkvbdu4	97	1	then	then	ADV
cord-189434-nrkvbdu4	97	2	the	the	DET
cord-189434-nrkvbdu4	97	3	'	'	PUNCT
cord-189434-nrkvbdu4	97	4	force	force	NOUN
cord-189434-nrkvbdu4	97	5	'	'	PUNCT
cord-189434-nrkvbdu4	97	6	term	term	NOUN
cord-189434-nrkvbdu4	97	7	on	on	ADP
cord-189434-nrkvbdu4	97	8	the	the	DET
cord-189434-nrkvbdu4	97	9	right	right	ADJ
cord-189434-nrkvbdu4	97	10	-	-	PUNCT
cord-189434-nrkvbdu4	97	11	hand	hand	NOUN
cord-189434-nrkvbdu4	97	12	-	-	PUNCT
cord-189434-nrkvbdu4	97	13	side	side	NOUN
cord-189434-nrkvbdu4	97	14	can	can	AUX
cord-189434-nrkvbdu4	97	15	be	be	AUX
cord-189434-nrkvbdu4	97	16	up	up	ADV
cord-189434-nrkvbdu4	97	17	-	-	PUNCT
cord-189434-nrkvbdu4	97	18	scaled	scale	VERB
cord-189434-nrkvbdu4	97	19	from	from	ADP
cord-189434-nrkvbdu4	97	20	a	a	DET
cord-189434-nrkvbdu4	97	21	sub	sub	ADJ
cord-189434-nrkvbdu4	97	22	-	-	ADJ
cord-189434-nrkvbdu4	97	23	scale	scale	ADJ
cord-189434-nrkvbdu4	97	24	model	model	NOUN
cord-189434-nrkvbdu4	97	25	by	by	ADP
cord-189434-nrkvbdu4	97	26	averaging	average	VERB
cord-189434-nrkvbdu4	97	27	in	in	ADP
cord-189434-nrkvbdu4	97	28	the	the	DET
cord-189434-nrkvbdu4	97	29	sense	sense	NOUN
cord-189434-nrkvbdu4	97	30	of	of	ADP
cord-189434-nrkvbdu4	97	31	computational	computational	ADJ
cord-189434-nrkvbdu4	97	32	homogenisation	homogenisation	NOUN
cord-189434-nrkvbdu4	97	33	z	z	PROPN
cord-189434-nrkvbdu4	97	34	•	•	PUNCT
cord-189434-nrkvbdu4	97	35	=	=	NOUN
cord-189434-nrkvbdu4	97	36	<	<	X
cord-189434-nrkvbdu4	97	37	j	j	X
cord-189434-nrkvbdu4	97	38	·	·	PUNCT
cord-189434-nrkvbdu4	97	39	g(z	g(z	PROPN
cord-189434-nrkvbdu4	97	40	,	,	PUNCT
cord-189434-nrkvbdu4	97	41	t	t	NOUN
cord-189434-nrkvbdu4	97	42	;	;	PUNCT
cord-189434-nrkvbdu4	97	43	z	z	X
cord-189434-nrkvbdu4	97	44	)	)	PUNCT
cord-189434-nrkvbdu4	97	45	>	>	X
cord-189434-nrkvbdu4	97	46	.	.	PUNCT
cord-189434-nrkvbdu4	98	1	here	here	ADV
cord-189434-nrkvbdu4	98	2	,	,	PUNCT
cord-189434-nrkvbdu4	98	3	the	the	DET
cord-189434-nrkvbdu4	98	4	sup	sup	NOUN
cord-189434-nrkvbdu4	98	5	-	-	PUNCT
cord-189434-nrkvbdu4	98	6	scale	scale	NOUN
cord-189434-nrkvbdu4	98	7	(	(	PUNCT
cord-189434-nrkvbdu4	98	8	indicated	indicate	VERB
cord-189434-nrkvbdu4	98	9	by	by	ADP
cord-189434-nrkvbdu4	98	10	an	an	DET
cord-189434-nrkvbdu4	98	11	over	over	ADP
cord-189434-nrkvbdu4	98	12	-	-	PUNCT
cord-189434-nrkvbdu4	98	13	bar	bar	NOUN
cord-189434-nrkvbdu4	98	14	)	)	PUNCT
cord-189434-nrkvbdu4	98	15	at	at	ADP
cord-189434-nrkvbdu4	98	16	the	the	DET
cord-189434-nrkvbdu4	98	17	left	left	ADJ
cord-189434-nrkvbdu4	98	18	-	-	PUNCT
cord-189434-nrkvbdu4	98	19	hand	hand	NOUN
cord-189434-nrkvbdu4	98	20	-	-	PUNCT
cord-189434-nrkvbdu4	98	21	side	side	NOUN
cord-189434-nrkvbdu4	98	22	behaves	behave	VERB
cord-189434-nrkvbdu4	98	23	like	like	ADP
cord-189434-nrkvbdu4	98	24	a	a	DET
cord-189434-nrkvbdu4	98	25	sirtype	sirtype	NOUN
cord-189434-nrkvbdu4	98	26	model	model	NOUN
cord-189434-nrkvbdu4	98	27	whereas	whereas	SCONJ
cord-189434-nrkvbdu4	98	28	the	the	DET
cord-189434-nrkvbdu4	98	29	sub	sub	ADJ
cord-189434-nrkvbdu4	98	30	-	-	ADJ
cord-189434-nrkvbdu4	98	31	scale	scale	ADJ
cord-189434-nrkvbdu4	98	32	model	model	NOUN
cord-189434-nrkvbdu4	98	33	at	at	ADP
cord-189434-nrkvbdu4	98	34	the	the	DET
cord-189434-nrkvbdu4	98	35	right	right	ADJ
cord-189434-nrkvbdu4	98	36	-	-	PUNCT
cord-189434-nrkvbdu4	98	37	hand	hand	NOUN
cord-189434-nrkvbdu4	98	38	-	-	PUNCT
cord-189434-nrkvbdu4	98	39	side	side	NOUN
cord-189434-nrkvbdu4	98	40	lives	life	NOUN
cord-189434-nrkvbdu4	98	41	either	either	CCONJ
cord-189434-nrkvbdu4	98	42	on	on	ADP
cord-189434-nrkvbdu4	98	43	a	a	DET
cord-189434-nrkvbdu4	98	44	finite	finite	ADJ
cord-189434-nrkvbdu4	98	45	dimensional	dimensional	ADJ
cord-189434-nrkvbdu4	98	46	phase	phase	NOUN
cord-189434-nrkvbdu4	98	47	space	space	NOUN
cord-189434-nrkvbdu4	98	48	or	or	CCONJ
cord-189434-nrkvbdu4	98	49	is	be	AUX
cord-189434-nrkvbdu4	98	50	represented	represent	VERB
cord-189434-nrkvbdu4	98	51	by	by	ADP
cord-189434-nrkvbdu4	98	52	a	a	DET
cord-189434-nrkvbdu4	98	53	rule	rule	NOUN
cord-189434-nrkvbdu4	98	54	-	-	PUNCT
cord-189434-nrkvbdu4	98	55	driven	drive	VERB
cord-189434-nrkvbdu4	98	56	,	,	PUNCT
cord-189434-nrkvbdu4	98	57	so	so	ADV
cord-189434-nrkvbdu4	98	58	-	-	PUNCT
cord-189434-nrkvbdu4	98	59	called	call	VERB
cord-189434-nrkvbdu4	98	60	agent	agent	NOUN
cord-189434-nrkvbdu4	98	61	-	-	PUNCT
cord-189434-nrkvbdu4	98	62	based	base	VERB
cord-189434-nrkvbdu4	98	63	model	model	NOUN
cord-189434-nrkvbdu4	98	64	.	.	PUNCT
cord-189434-nrkvbdu4	99	1	agent	agent	NOUN
cord-189434-nrkvbdu4	99	2	-	-	PUNCT
cord-189434-nrkvbdu4	99	3	based	base	VERB
cord-189434-nrkvbdu4	99	4	models	model	NOUN
cord-189434-nrkvbdu4	99	5	are	be	AUX
cord-189434-nrkvbdu4	99	6	an	an	DET
cord-189434-nrkvbdu4	99	7	alternative	alternative	ADJ
cord-189434-nrkvbdu4	99	8	modelling	modelling	NOUN
cord-189434-nrkvbdu4	99	9	paradigm	paradigm	NOUN
cord-189434-nrkvbdu4	99	10	considering	consider	VERB
cord-189434-nrkvbdu4	99	11	only	only	ADV
cord-189434-nrkvbdu4	99	12	a	a	DET
cord-189434-nrkvbdu4	99	13	comparatively	comparatively	ADV
cord-189434-nrkvbdu4	99	14	small	small	ADJ
cord-189434-nrkvbdu4	99	15	number	number	NOUN
cord-189434-nrkvbdu4	99	16	of	of	ADP
cord-189434-nrkvbdu4	99	17	individuals	individual	NOUN
cord-189434-nrkvbdu4	99	18	(	(	PUNCT
cord-189434-nrkvbdu4	99	19	agents	agent	NOUN
cord-189434-nrkvbdu4	99	20	)	)	PUNCT
cord-189434-nrkvbdu4	99	21	.	.	PUNCT
cord-189434-nrkvbdu4	100	1	they	they	PRON
cord-189434-nrkvbdu4	100	2	are	be	AUX
cord-189434-nrkvbdu4	100	3	capable	capable	ADJ
cord-189434-nrkvbdu4	100	4	to	to	PART
cord-189434-nrkvbdu4	100	5	capture	capture	VERB
cord-189434-nrkvbdu4	100	6	the	the	DET
cord-189434-nrkvbdu4	100	7	stochastic	stochastic	ADJ
cord-189434-nrkvbdu4	100	8	nature	nature	NOUN
cord-189434-nrkvbdu4	100	9	and	and	CCONJ
cord-189434-nrkvbdu4	100	10	strong	strong	ADJ
cord-189434-nrkvbdu4	100	11	impact	impact	NOUN
cord-189434-nrkvbdu4	100	12	of	of	ADP
cord-189434-nrkvbdu4	100	13	socio	socio	NOUN
cord-189434-nrkvbdu4	100	14	-	-	ADJ
cord-189434-nrkvbdu4	100	15	economic	economic	ADJ
cord-189434-nrkvbdu4	100	16	factors	factor	NOUN
cord-189434-nrkvbdu4	100	17	present	present	ADJ
cord-189434-nrkvbdu4	100	18	at	at	ADP
cord-189434-nrkvbdu4	100	19	small	small	ADJ
cord-189434-nrkvbdu4	100	20	scales	scale	NOUN
cord-189434-nrkvbdu4	100	21	,	,	PUNCT
cord-189434-nrkvbdu4	100	22	see	see	VERB
cord-189434-nrkvbdu4	100	23	,	,	PUNCT
cord-189434-nrkvbdu4	100	24	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	100	25	,	,	PUNCT
cord-189434-nrkvbdu4	100	26	[	[	X
cord-189434-nrkvbdu4	100	27	7	7	NUM
cord-189434-nrkvbdu4	100	28	,	,	PUNCT
cord-189434-nrkvbdu4	100	29	24	24	NUM
cord-189434-nrkvbdu4	100	30	]	]	PUNCT
cord-189434-nrkvbdu4	100	31	.	.	PUNCT
cord-189434-nrkvbdu4	101	1	the	the	DET
cord-189434-nrkvbdu4	101	2	sub	sub	ADJ
cord-189434-nrkvbdu4	101	3	-	-	ADJ
cord-189434-nrkvbdu4	101	4	scale	scale	ADJ
cord-189434-nrkvbdu4	101	5	model	model	NOUN
cord-189434-nrkvbdu4	101	6	is	be	AUX
cord-189434-nrkvbdu4	101	7	driven	drive	VERB
cord-189434-nrkvbdu4	101	8	by	by	ADP
cord-189434-nrkvbdu4	101	9	the	the	DET
cord-189434-nrkvbdu4	101	10	sup	sup	ADJ
cord-189434-nrkvbdu4	101	11	-	-	PUNCT
cord-189434-nrkvbdu4	101	12	scale	scale	NOUN
cord-189434-nrkvbdu4	101	13	phase	phase	NOUN
cord-189434-nrkvbdu4	101	14	space	space	NOUN
cord-189434-nrkvbdu4	101	15	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	101	16	,	,	PUNCT
cord-189434-nrkvbdu4	101	17	whereby	whereby	SCONJ
cord-189434-nrkvbdu4	101	18	a	a	DET
cord-189434-nrkvbdu4	101	19	proper	proper	ADJ
cord-189434-nrkvbdu4	101	20	scale	scale	NOUN
cord-189434-nrkvbdu4	101	21	-	-	PUNCT
cord-189434-nrkvbdu4	101	22	transition	transition	NOUN
cord-189434-nrkvbdu4	101	23	condition	condition	NOUN
cord-189434-nrkvbdu4	101	24	defines	define	VERB
cord-189434-nrkvbdu4	101	25	suited	suit	VERB
cord-189434-nrkvbdu4	101	26	boundary	boundary	ADJ
cord-189434-nrkvbdu4	101	27	/	/	SYM
cord-189434-nrkvbdu4	101	28	initial	initial	ADJ
cord-189434-nrkvbdu4	101	29	conditions	condition	NOUN
cord-189434-nrkvbdu4	101	30	at	at	ADP
cord-189434-nrkvbdu4	101	31	the	the	DET
cord-189434-nrkvbdu4	101	32	sub	sub	NOUN
cord-189434-nrkvbdu4	101	33	-	-	ADJ
cord-189434-nrkvbdu4	101	34	scale	scale	ADJ
cord-189434-nrkvbdu4	101	35	.	.	PUNCT
cord-189434-nrkvbdu4	101	36	option	option	NOUN
cord-189434-nrkvbdu4	101	37	b	b	PROPN
cord-189434-nrkvbdu4	101	38	)	)	PUNCT
cord-189434-nrkvbdu4	101	39	horizontal	horizontal	ADJ
cord-189434-nrkvbdu4	101	40	coupling	coupling	NOUN
cord-189434-nrkvbdu4	101	41	of	of	ADP
cord-189434-nrkvbdu4	101	42	scales	scale	NOUN
cord-189434-nrkvbdu4	101	43	,	,	PUNCT
cord-189434-nrkvbdu4	101	44	analogously	analogously	ADV
cord-189434-nrkvbdu4	101	45	to	to	ADP
cord-189434-nrkvbdu4	101	46	the	the	DET
cord-189434-nrkvbdu4	101	47	quasi	quasi	ADJ
cord-189434-nrkvbdu4	101	48	-	-	ADJ
cord-189434-nrkvbdu4	101	49	continuum	continuum	ADJ
cord-189434-nrkvbdu4	101	50	method	method	PROPN
cord-189434-nrkvbdu4	101	51	[	[	PUNCT
cord-189434-nrkvbdu4	101	52	19	19	NUM
cord-189434-nrkvbdu4	101	53	]	]	PUNCT
cord-189434-nrkvbdu4	101	54	,	,	PUNCT
cord-189434-nrkvbdu4	101	55	requires	require	VERB
cord-189434-nrkvbdu4	101	56	adaptive	adaptive	ADJ
cord-189434-nrkvbdu4	101	57	resolution	resolution	NOUN
cord-189434-nrkvbdu4	101	58	of	of	ADP
cord-189434-nrkvbdu4	101	59	the	the	DET
cord-189434-nrkvbdu4	101	60	network	network	NOUN
cord-189434-nrkvbdu4	101	61	spacing	space	VERB
cord-189434-nrkvbdu4	101	62	,	,	PUNCT
cord-189434-nrkvbdu4	101	63	here	here	ADV
cord-189434-nrkvbdu4	101	64	indicated	indicate	VERB
cord-189434-nrkvbdu4	101	65	by	by	ADP
cord-189434-nrkvbdu4	101	66	the	the	DET
cord-189434-nrkvbdu4	101	67	sup	sup	NOUN
cord-189434-nrkvbdu4	101	68	-	-	PUNCT
cord-189434-nrkvbdu4	101	69	script	script	NOUN
cord-189434-nrkvbdu4	101	70	h	h	NOUN
cord-189434-nrkvbdu4	101	71	adaptivity	adaptivity	NOUN
cord-189434-nrkvbdu4	101	72	requires	require	VERB
cord-189434-nrkvbdu4	101	73	suited	suited	ADJ
cord-189434-nrkvbdu4	101	74	network	network	NOUN
cord-189434-nrkvbdu4	101	75	densification	densification	NOUN
cord-189434-nrkvbdu4	101	76	indicators	indicator	NOUN
cord-189434-nrkvbdu4	101	77	that	that	PRON
cord-189434-nrkvbdu4	101	78	may	may	AUX
cord-189434-nrkvbdu4	101	79	follow	follow	VERB
cord-189434-nrkvbdu4	101	80	from	from	ADP
cord-189434-nrkvbdu4	101	81	a	a	DET
cord-189434-nrkvbdu4	101	82	proper	proper	ADJ
cord-189434-nrkvbdu4	101	83	error	error	NOUN
cord-189434-nrkvbdu4	101	84	analysis	analysis	NOUN
cord-189434-nrkvbdu4	101	85	,	,	PUNCT
cord-189434-nrkvbdu4	101	86	a	a	DET
cord-189434-nrkvbdu4	101	87	topic	topic	NOUN
cord-189434-nrkvbdu4	101	88	that	that	PRON
cord-189434-nrkvbdu4	101	89	is	be	AUX
cord-189434-nrkvbdu4	101	90	still	still	ADV
cord-189434-nrkvbdu4	101	91	largely	largely	ADV
cord-189434-nrkvbdu4	101	92	under	under	ADV
cord-189434-nrkvbdu4	101	93	-	-	PUNCT
cord-189434-nrkvbdu4	101	94	investigated	investigate	VERB
cord-189434-nrkvbdu4	101	95	for	for	ADP
cord-189434-nrkvbdu4	101	96	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	101	97	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	101	98	models	model	NOUN
cord-189434-nrkvbdu4	101	99	.	.	PUNCT
cord-189434-nrkvbdu4	102	1	vista	vista	PROPN
cord-189434-nrkvbdu4	102	2	5	5	NUM
cord-189434-nrkvbdu4	102	3	:	:	PUNCT
cord-189434-nrkvbdu4	102	4	the	the	DET
cord-189434-nrkvbdu4	102	5	availability	availability	NOUN
cord-189434-nrkvbdu4	102	6	and	and	CCONJ
cord-189434-nrkvbdu4	102	7	reliability	reliability	NOUN
cord-189434-nrkvbdu4	102	8	of	of	ADP
cord-189434-nrkvbdu4	102	9	recorded	record	VERB
cord-189434-nrkvbdu4	102	10	data	datum	NOUN
cord-189434-nrkvbdu4	102	11	,	,	PUNCT
cord-189434-nrkvbdu4	102	12	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	102	13	regarding	regard	VERB
cord-189434-nrkvbdu4	102	14	the	the	DET
cord-189434-nrkvbdu4	102	15	cumulative	cumulative	ADJ
cord-189434-nrkvbdu4	102	16	or	or	CCONJ
cord-189434-nrkvbdu4	102	17	daily	daily	ADJ
cord-189434-nrkvbdu4	102	18	infection	infection	NOUN
cord-189434-nrkvbdu4	102	19	cases	case	NOUN
cord-189434-nrkvbdu4	102	20	,	,	PUNCT
cord-189434-nrkvbdu4	102	21	during	during	ADP
cord-189434-nrkvbdu4	102	22	an	an	DET
cord-189434-nrkvbdu4	102	23	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	102	24	is	be	AUX
cord-189434-nrkvbdu4	102	25	typically	typically	ADV
cord-189434-nrkvbdu4	102	26	characterized	characterize	VERB
cord-189434-nrkvbdu4	102	27	by	by	ADP
cord-189434-nrkvbdu4	102	28	a	a	DET
cord-189434-nrkvbdu4	102	29	large	large	ADJ
cord-189434-nrkvbdu4	102	30	degree	degree	NOUN
cord-189434-nrkvbdu4	102	31	of	of	ADP
cord-189434-nrkvbdu4	102	32	uncertainty	uncertainty	NOUN
cord-189434-nrkvbdu4	102	33	,	,	PUNCT
cord-189434-nrkvbdu4	102	34	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	102	35	regarding	regard	VERB
cord-189434-nrkvbdu4	102	36	the	the	DET
cord-189434-nrkvbdu4	102	37	infection	infection	NOUN
cord-189434-nrkvbdu4	102	38	rates	rate	NOUN
cord-189434-nrkvbdu4	102	39	,	,	PUNCT
cord-189434-nrkvbdu4	102	40	the	the	DET
cord-189434-nrkvbdu4	102	41	degree	degree	NOUN
cord-189434-nrkvbdu4	102	42	of	of	ADP
cord-189434-nrkvbdu4	102	43	immunity	immunity	NOUN
cord-189434-nrkvbdu4	102	44	and/or	and/or	CCONJ
cord-189434-nrkvbdu4	102	45	their	their	PRON
cord-189434-nrkvbdu4	102	46	dark	dark	ADJ
cord-189434-nrkvbdu4	102	47	figures	figure	NOUN
cord-189434-nrkvbdu4	102	48	.	.	PUNCT
cord-189434-nrkvbdu4	103	1	uncertainty	uncertainty	NOUN
cord-189434-nrkvbdu4	103	2	quantification	quantification	NOUN
cord-189434-nrkvbdu4	103	3	is	be	AUX
cord-189434-nrkvbdu4	103	4	based	base	VERB
cord-189434-nrkvbdu4	103	5	on	on	ADP
cord-189434-nrkvbdu4	103	6	simulations	simulation	NOUN
cord-189434-nrkvbdu4	103	7	with	with	ADP
cord-189434-nrkvbdu4	103	8	uncertain	uncertain	ADJ
cord-189434-nrkvbdu4	103	9	data	datum	NOUN
cord-189434-nrkvbdu4	103	10	thereby	thereby	ADV
cord-189434-nrkvbdu4	103	11	,	,	PUNCT
cord-189434-nrkvbdu4	103	12	uncertain	uncertain	ADJ
cord-189434-nrkvbdu4	103	13	data	datum	NOUN
cord-189434-nrkvbdu4	103	14	is	be	AUX
cord-189434-nrkvbdu4	103	15	here	here	ADV
cord-189434-nrkvbdu4	103	16	parameterized	parameterize	VERB
cord-189434-nrkvbdu4	103	17	in	in	ADP
cord-189434-nrkvbdu4	103	18	terms	term	NOUN
cord-189434-nrkvbdu4	103	19	of	of	ADP
cord-189434-nrkvbdu4	103	20	elementary	elementary	ADJ
cord-189434-nrkvbdu4	103	21	events	event	NOUN
cord-189434-nrkvbdu4	103	22	ω	ω	X
cord-189434-nrkvbdu4	103	23	from	from	ADP
cord-189434-nrkvbdu4	103	24	which	which	PRON
cord-189434-nrkvbdu4	103	25	one	one	PRON
cord-189434-nrkvbdu4	103	26	may	may	AUX
cord-189434-nrkvbdu4	103	27	repeatedly	repeatedly	ADV
cord-189434-nrkvbdu4	103	28	draw	draw	VERB
cord-189434-nrkvbdu4	103	29	samples	sample	NOUN
cord-189434-nrkvbdu4	103	30	to	to	PART
cord-189434-nrkvbdu4	103	31	investigate	investigate	VERB
cord-189434-nrkvbdu4	103	32	uncertainty	uncertainty	NOUN
cord-189434-nrkvbdu4	103	33	propagation	propagation	NOUN
cord-189434-nrkvbdu4	103	34	throughout	throughout	ADP
cord-189434-nrkvbdu4	103	35	our	our	PRON
cord-189434-nrkvbdu4	103	36	model	model	NOUN
cord-189434-nrkvbdu4	103	37	,	,	PUNCT
cord-189434-nrkvbdu4	103	38	see	see	VERB
cord-189434-nrkvbdu4	103	39	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	103	40	[	[	X
cord-189434-nrkvbdu4	103	41	22	22	NUM
cord-189434-nrkvbdu4	103	42	,	,	PUNCT
cord-189434-nrkvbdu4	103	43	23	23	NUM
cord-189434-nrkvbdu4	103	44	]	]	PUNCT
cord-189434-nrkvbdu4	103	45	.	.	PUNCT
cord-189434-nrkvbdu4	104	1	possible	possible	ADJ
cord-189434-nrkvbdu4	104	2	options	option	NOUN
cord-189434-nrkvbdu4	104	3	for	for	ADP
cord-189434-nrkvbdu4	104	4	the	the	DET
cord-189434-nrkvbdu4	104	5	description	description	NOUN
cord-189434-nrkvbdu4	104	6	of	of	ADP
cord-189434-nrkvbdu4	104	7	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	104	8	are	be	AUX
cord-189434-nrkvbdu4	104	9	for	for	ADP
cord-189434-nrkvbdu4	104	10	example	example	NOUN
cord-189434-nrkvbdu4	104	11	:	:	PUNCT
cord-189434-nrkvbdu4	104	12	option	option	NOUN
cord-189434-nrkvbdu4	104	13	a	a	PRON
cord-189434-nrkvbdu4	104	14	)	)	PUNCT
cord-189434-nrkvbdu4	104	15	aleatoric	aleatoric	ADJ
cord-189434-nrkvbdu4	104	16	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	104	17	require	require	VERB
cord-189434-nrkvbdu4	104	18	the	the	DET
cord-189434-nrkvbdu4	104	19	use	use	NOUN
cord-189434-nrkvbdu4	104	20	of	of	ADP
cord-189434-nrkvbdu4	104	21	random	random	ADJ
cord-189434-nrkvbdu4	104	22	variables	variable	NOUN
cord-189434-nrkvbdu4	104	23	with	with	ADP
cord-189434-nrkvbdu4	104	24	probability	probability	NOUN
cord-189434-nrkvbdu4	104	25	density	density	NOUN
cord-189434-nrkvbdu4	104	26	function	function	NOUN
cord-189434-nrkvbdu4	104	27	(	(	PUNCT
cord-189434-nrkvbdu4	104	28	pdf	pdf	PROPN
cord-189434-nrkvbdu4	104	29	)	)	PUNCT
cord-189434-nrkvbdu4	104	30	as	as	ADP
cord-189434-nrkvbdu4	104	31	a	a	DET
cord-189434-nrkvbdu4	104	32	measure	measure	NOUN
cord-189434-nrkvbdu4	104	33	of	of	ADP
cord-189434-nrkvbdu4	104	34	likelihood	likelihood	NOUN
cord-189434-nrkvbdu4	104	35	(	(	PUNCT
cord-189434-nrkvbdu4	104	36	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	104	37	gaussian	gaussian	PROPN
cord-189434-nrkvbdu4	104	38	pdf	pdf	PROPN
cord-189434-nrkvbdu4	104	39	in	in	ADP
cord-189434-nrkvbdu4	104	40	terms	term	NOUN
cord-189434-nrkvbdu4	104	41	of	of	ADP
cord-189434-nrkvbdu4	104	42	the	the	DET
cord-189434-nrkvbdu4	104	43	mean	mean	ADJ
cord-189434-nrkvbdu4	104	44	value	value	NOUN
cord-189434-nrkvbdu4	104	45	and	and	CCONJ
cord-189434-nrkvbdu4	104	46	standard	standard	ADJ
cord-189434-nrkvbdu4	104	47	deviation	deviation	NOUN
cord-189434-nrkvbdu4	104	48	)	)	PUNCT
cord-189434-nrkvbdu4	104	49	.	.	PUNCT
cord-189434-nrkvbdu4	105	1	aleatoric	aleatoric	ADJ
cord-189434-nrkvbdu4	105	2	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	105	3	are	be	AUX
cord-189434-nrkvbdu4	105	4	stochastic	stochastic	ADJ
cord-189434-nrkvbdu4	105	5	by	by	ADP
cord-189434-nrkvbdu4	105	6	nature	nature	NOUN
cord-189434-nrkvbdu4	105	7	and	and	CCONJ
cord-189434-nrkvbdu4	105	8	may	may	AUX
cord-189434-nrkvbdu4	105	9	not	not	PART
cord-189434-nrkvbdu4	105	10	be	be	AUX
cord-189434-nrkvbdu4	105	11	neglected	neglect	VERB
cord-189434-nrkvbdu4	105	12	when	when	SCONJ
cord-189434-nrkvbdu4	105	13	the	the	DET
cord-189434-nrkvbdu4	105	14	standard	standard	ADJ
cord-189434-nrkvbdu4	105	15	deviation	deviation	NOUN
cord-189434-nrkvbdu4	105	16	is	be	AUX
cord-189434-nrkvbdu4	105	17	large	large	ADJ
cord-189434-nrkvbdu4	105	18	.	.	PUNCT
cord-189434-nrkvbdu4	106	1	option	option	NOUN
cord-189434-nrkvbdu4	106	2	b	b	PROPN
cord-189434-nrkvbdu4	106	3	)	)	PUNCT
cord-189434-nrkvbdu4	106	4	epistemic	epistemic	ADJ
cord-189434-nrkvbdu4	106	5	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	106	6	may	may	AUX
cord-189434-nrkvbdu4	106	7	be	be	AUX
cord-189434-nrkvbdu4	106	8	captured	capture	VERB
cord-189434-nrkvbdu4	106	9	by	by	ADP
cord-189434-nrkvbdu4	106	10	fuzzy	fuzzy	ADJ
cord-189434-nrkvbdu4	106	11	variables	variable	NOUN
cord-189434-nrkvbdu4	106	12	with	with	ADP
cord-189434-nrkvbdu4	106	13	possibility	possibility	NOUN
cord-189434-nrkvbdu4	106	14	density	density	NOUN
cord-189434-nrkvbdu4	106	15	function	function	NOUN
cord-189434-nrkvbdu4	106	16	as	as	ADP
cord-189434-nrkvbdu4	106	17	a	a	DET
cord-189434-nrkvbdu4	106	18	measure	measure	NOUN
cord-189434-nrkvbdu4	106	19	of	of	ADP
cord-189434-nrkvbdu4	106	20	degree	degree	NOUN
cord-189434-nrkvbdu4	106	21	-	-	PUNCT
cord-189434-nrkvbdu4	106	22	of	of	ADP
cord-189434-nrkvbdu4	106	23	-	-	PUNCT
cord-189434-nrkvbdu4	106	24	membership	membership	NOUN
cord-189434-nrkvbdu4	106	25	(	(	PUNCT
cord-189434-nrkvbdu4	106	26	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	106	27	symmetric	symmetric	PROPN
cord-189434-nrkvbdu4	106	28	triangular	triangular	ADJ
cord-189434-nrkvbdu4	106	29	membership	membership	NOUN
cord-189434-nrkvbdu4	106	30	function	function	NOUN
cord-189434-nrkvbdu4	106	31	in	in	ADP
cord-189434-nrkvbdu4	106	32	terms	term	NOUN
cord-189434-nrkvbdu4	106	33	of	of	ADP
cord-189434-nrkvbdu4	106	34	its	its	PRON
cord-189434-nrkvbdu4	106	35	modal	modal	NOUN
cord-189434-nrkvbdu4	106	36	value	value	NOUN
cord-189434-nrkvbdu4	106	37	and	and	CCONJ
cord-189434-nrkvbdu4	106	38	support	support	NOUN
cord-189434-nrkvbdu4	106	39	)	)	PUNCT
cord-189434-nrkvbdu4	106	40	.	.	PUNCT
cord-189434-nrkvbdu4	107	1	epistemic	epistemic	ADJ
cord-189434-nrkvbdu4	107	2	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	107	3	reflect	reflect	VERB
cord-189434-nrkvbdu4	107	4	a	a	DET
cord-189434-nrkvbdu4	107	5	lack	lack	NOUN
cord-189434-nrkvbdu4	107	6	of	of	ADP
cord-189434-nrkvbdu4	107	7	knowledge	knowledge	NOUN
cord-189434-nrkvbdu4	107	8	and	and	CCONJ
cord-189434-nrkvbdu4	107	9	,	,	PUNCT
cord-189434-nrkvbdu4	107	10	in	in	ADP
cord-189434-nrkvbdu4	107	11	the	the	DET
cord-189434-nrkvbdu4	107	12	case	case	NOUN
cord-189434-nrkvbdu4	107	13	of	of	ADP
cord-189434-nrkvbdu4	107	14	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	107	15	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	107	16	modelling	modelling	NOUN
cord-189434-nrkvbdu4	107	17	,	,	PUNCT
cord-189434-nrkvbdu4	107	18	can	can	AUX
cord-189434-nrkvbdu4	107	19	be	be	AUX
cord-189434-nrkvbdu4	107	20	reduced	reduce	VERB
cord-189434-nrkvbdu4	107	21	by	by	ADP
cord-189434-nrkvbdu4	107	22	increasing	increase	VERB
cord-189434-nrkvbdu4	107	23	testing	testing	NOUN
cord-189434-nrkvbdu4	107	24	for	for	ADP
cord-189434-nrkvbdu4	107	25	either	either	CCONJ
cord-189434-nrkvbdu4	107	26	infections	infection	NOUN
cord-189434-nrkvbdu4	107	27	and/or	and/or	CCONJ
cord-189434-nrkvbdu4	107	28	for	for	ADP
cord-189434-nrkvbdu4	107	29	anti	anti	NOUN
cord-189434-nrkvbdu4	107	30	-	-	NOUN
cord-189434-nrkvbdu4	107	31	bodies	body	NOUN
cord-189434-nrkvbdu4	107	32	.	.	PUNCT
cord-189434-nrkvbdu4	108	1	the	the	DET
cord-189434-nrkvbdu4	108	2	discrete	discrete	ADJ
cord-189434-nrkvbdu4	108	3	trajectory	trajectory	NOUN
cord-189434-nrkvbdu4	108	4	in	in	ADP
cord-189434-nrkvbdu4	108	5	time	time	NOUN
cord-189434-nrkvbdu4	108	6	of	of	ADP
cord-189434-nrkvbdu4	108	7	the	the	DET
cord-189434-nrkvbdu4	108	8	phase	phase	NOUN
cord-189434-nrkvbdu4	108	9	space	space	NOUN
cord-189434-nrkvbdu4	108	10	variables	variable	NOUN
cord-189434-nrkvbdu4	108	11	is	be	AUX
cord-189434-nrkvbdu4	108	12	algorithmically	algorithmically	ADV
cord-189434-nrkvbdu4	108	13	traced	trace	VERB
cord-189434-nrkvbdu4	108	14	by	by	ADP
cord-189434-nrkvbdu4	108	15	an	an	DET
cord-189434-nrkvbdu4	108	16	integrator	integrator	NOUN
cord-189434-nrkvbdu4	108	17	of	of	ADP
cord-189434-nrkvbdu4	108	18	the	the	DET
cord-189434-nrkvbdu4	108	19	generic	generic	ADJ
cord-189434-nrkvbdu4	108	20	format	format	NOUN
cord-189434-nrkvbdu4	108	21	z	z	PROPN
cord-189434-nrkvbdu4	108	22	n+1	n+1	PROPN
cord-189434-nrkvbdu4	109	1	=	=	PRON
cord-189434-nrkvbdu4	109	2	z	z	NOUN
cord-189434-nrkvbdu4	109	3	n	n	NOUN
cord-189434-nrkvbdu4	109	4	+	+	NOUN
cord-189434-nrkvbdu4	109	5	∆t	∆t	NOUN
cord-189434-nrkvbdu4	109	6	j	j	X
cord-189434-nrkvbdu4	109	7	·	·	PUNCT
cord-189434-nrkvbdu4	110	1	g	g	X
cord-189434-nrkvbdu4	110	2	z	z	NOUN
cord-189434-nrkvbdu4	110	3	n+α	n+α	CCONJ
cord-189434-nrkvbdu4	110	4	(	(	PUNCT
cord-189434-nrkvbdu4	110	5	ω	ω	PROPN
cord-189434-nrkvbdu4	110	6	)	)	PUNCT
cord-189434-nrkvbdu4	110	7	,	,	PUNCT
cord-189434-nrkvbdu4	110	8	t	t	PROPN
cord-189434-nrkvbdu4	110	9	n+α	n+α	PROPN
cord-189434-nrkvbdu4	110	10	.	.	PUNCT
cord-189434-nrkvbdu4	111	1	here	here	ADV
cord-189434-nrkvbdu4	111	2	,	,	PUNCT
cord-189434-nrkvbdu4	111	3	sub	sub	NOUN
cord-189434-nrkvbdu4	111	4	-	-	NOUN
cord-189434-nrkvbdu4	111	5	scripts	script	NOUN
cord-189434-nrkvbdu4	111	6	n+	n+	SYM
cord-189434-nrkvbdu4	111	7	1	1	NUM
cord-189434-nrkvbdu4	111	8	,	,	PUNCT
cord-189434-nrkvbdu4	111	9	n	n	PRON
cord-189434-nrkvbdu4	111	10	,	,	PUNCT
cord-189434-nrkvbdu4	111	11	and	and	CCONJ
cord-189434-nrkvbdu4	111	12	n+	n+	PUNCT
cord-189434-nrkvbdu4	111	13	α	α	NOUN
cord-189434-nrkvbdu4	111	14	refer	refer	VERB
cord-189434-nrkvbdu4	111	15	to	to	ADP
cord-189434-nrkvbdu4	111	16	,	,	PUNCT
cord-189434-nrkvbdu4	111	17	respectively	respectively	ADV
cord-189434-nrkvbdu4	111	18	,	,	PUNCT
cord-189434-nrkvbdu4	111	19	the	the	DET
cord-189434-nrkvbdu4	111	20	end	end	NOUN
cord-189434-nrkvbdu4	111	21	point	point	NOUN
cord-189434-nrkvbdu4	111	22	,	,	PUNCT
cord-189434-nrkvbdu4	111	23	the	the	DET
cord-189434-nrkvbdu4	111	24	start	start	NOUN
cord-189434-nrkvbdu4	111	25	point	point	NOUN
cord-189434-nrkvbdu4	111	26	,	,	PUNCT
cord-189434-nrkvbdu4	111	27	and	and	CCONJ
cord-189434-nrkvbdu4	111	28	an	an	DET
cord-189434-nrkvbdu4	111	29	intermediate	intermediate	ADJ
cord-189434-nrkvbdu4	111	30	point	point	NOUN
cord-189434-nrkvbdu4	111	31	of	of	ADP
cord-189434-nrkvbdu4	111	32	/	/	SYM
cord-189434-nrkvbdu4	111	33	within	within	ADP
cord-189434-nrkvbdu4	111	34	a	a	DET
cord-189434-nrkvbdu4	111	35	time	time	NOUN
cord-189434-nrkvbdu4	111	36	step	step	NOUN
cord-189434-nrkvbdu4	111	37	of	of	ADP
cord-189434-nrkvbdu4	111	38	length	length	NOUN
cord-189434-nrkvbdu4	111	39	∆t	∆t	PROPN
cord-189434-nrkvbdu4	111	40	.	.	PUNCT
cord-189434-nrkvbdu4	112	1	possible	possible	ADJ
cord-189434-nrkvbdu4	112	2	options	option	NOUN
cord-189434-nrkvbdu4	112	3	for	for	ADP
cord-189434-nrkvbdu4	112	4	time	time	NOUN
cord-189434-nrkvbdu4	112	5	integrators	integrator	NOUN
cord-189434-nrkvbdu4	112	6	that	that	PRON
cord-189434-nrkvbdu4	112	7	display	display	VERB
cord-189434-nrkvbdu4	112	8	different	different	ADJ
cord-189434-nrkvbdu4	112	9	accuracy	accuracy	NOUN
cord-189434-nrkvbdu4	112	10	,	,	PUNCT
cord-189434-nrkvbdu4	112	11	stability	stability	NOUN
cord-189434-nrkvbdu4	112	12	,	,	PUNCT
cord-189434-nrkvbdu4	112	13	and	and	CCONJ
cord-189434-nrkvbdu4	112	14	robustness	robustness	NOUN
cord-189434-nrkvbdu4	112	15	,	,	PUNCT
cord-189434-nrkvbdu4	112	16	in	in	ADP
cord-189434-nrkvbdu4	112	17	particular	particular	ADJ
cord-189434-nrkvbdu4	112	18	when	when	SCONJ
cord-189434-nrkvbdu4	112	19	integrating	integrate	VERB
cord-189434-nrkvbdu4	112	20	non	non	ADJ
cord-189434-nrkvbdu4	112	21	-	-	ADJ
cord-189434-nrkvbdu4	112	22	linear	linear	ADJ
cord-189434-nrkvbdu4	112	23	right	right	ADJ
cord-189434-nrkvbdu4	112	24	-	-	PUNCT
cord-189434-nrkvbdu4	112	25	hand	hand	NOUN
cord-189434-nrkvbdu4	112	26	-	-	PUNCT
cord-189434-nrkvbdu4	112	27	sides	side	NOUN
cord-189434-nrkvbdu4	112	28	are	be	AUX
cord-189434-nrkvbdu4	112	29	for	for	ADP
cord-189434-nrkvbdu4	112	30	example	example	NOUN
cord-189434-nrkvbdu4	112	31	:	:	PUNCT
cord-189434-nrkvbdu4	112	32	option	option	NOUN
cord-189434-nrkvbdu4	112	33	a	a	DET
cord-189434-nrkvbdu4	112	34	)	)	PUNCT
cord-189434-nrkvbdu4	112	35	runge	runge	NOUN
cord-189434-nrkvbdu4	112	36	-	-	PUNCT
cord-189434-nrkvbdu4	112	37	kutta	kutta	NOUN
cord-189434-nrkvbdu4	112	38	integrators	integrator	NOUN
cord-189434-nrkvbdu4	112	39	are	be	AUX
cord-189434-nrkvbdu4	112	40	of	of	ADP
cord-189434-nrkvbdu4	112	41	-	-	PUNCT
cord-189434-nrkvbdu4	112	42	the	the	DET
cord-189434-nrkvbdu4	112	43	-	-	PUNCT
cord-189434-nrkvbdu4	112	44	shelf	shelf	NOUN
cord-189434-nrkvbdu4	112	45	algorithms	algorithm	NOUN
cord-189434-nrkvbdu4	112	46	that	that	PRON
cord-189434-nrkvbdu4	112	47	come	come	VERB
cord-189434-nrkvbdu4	112	48	in	in	ADP
cord-189434-nrkvbdu4	112	49	a	a	DET
cord-189434-nrkvbdu4	112	50	variety	variety	NOUN
cord-189434-nrkvbdu4	112	51	of	of	ADP
cord-189434-nrkvbdu4	112	52	different	different	ADJ
cord-189434-nrkvbdu4	112	53	flavours	flavour	NOUN
cord-189434-nrkvbdu4	112	54	(	(	PUNCT
cord-189434-nrkvbdu4	112	55	following	follow	VERB
cord-189434-nrkvbdu4	112	56	from	from	ADP
cord-189434-nrkvbdu4	112	57	the	the	DET
cord-189434-nrkvbdu4	112	58	corresponding	correspond	VERB
cord-189434-nrkvbdu4	112	59	butcher	butcher	NOUN
cord-189434-nrkvbdu4	112	60	tableau	tableau	NOUN
cord-189434-nrkvbdu4	112	61	)	)	PUNCT
cord-189434-nrkvbdu4	112	62	like	like	ADP
cord-189434-nrkvbdu4	112	63	,	,	PUNCT
cord-189434-nrkvbdu4	112	64	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	112	65	,	,	PUNCT
cord-189434-nrkvbdu4	112	66	single	single	ADJ
cord-189434-nrkvbdu4	112	67	-	-	PUNCT
cord-189434-nrkvbdu4	112	68	and	and	CCONJ
cord-189434-nrkvbdu4	112	69	multi	multi	ADJ
cord-189434-nrkvbdu4	112	70	-	-	ADJ
cord-189434-nrkvbdu4	112	71	stage	stage	ADJ
cord-189434-nrkvbdu4	112	72	integrators	integrator	NOUN
cord-189434-nrkvbdu4	112	73	of	of	ADP
cord-189434-nrkvbdu4	112	74	varying	vary	VERB
cord-189434-nrkvbdu4	112	75	algorithmic	algorithmic	ADJ
cord-189434-nrkvbdu4	112	76	accuracy	accuracy	NOUN
cord-189434-nrkvbdu4	112	77	.	.	PUNCT
cord-189434-nrkvbdu4	113	1	however	however	ADV
cord-189434-nrkvbdu4	113	2	,	,	PUNCT
cord-189434-nrkvbdu4	113	3	they	they	PRON
cord-189434-nrkvbdu4	113	4	do	do	AUX
cord-189434-nrkvbdu4	113	5	not	not	PART
cord-189434-nrkvbdu4	113	6	necessarily	necessarily	ADV
cord-189434-nrkvbdu4	113	7	respect	respect	VERB
cord-189434-nrkvbdu4	113	8	first	first	ADJ
cord-189434-nrkvbdu4	113	9	integrals	integral	NOUN
cord-189434-nrkvbdu4	113	10	such	such	ADJ
cord-189434-nrkvbdu4	113	11	as	as	ADP
cord-189434-nrkvbdu4	113	12	the	the	DET
cord-189434-nrkvbdu4	113	13	conservation	conservation	NOUN
cord-189434-nrkvbdu4	113	14	of	of	ADP
cord-189434-nrkvbdu4	113	15	the	the	DET
cord-189434-nrkvbdu4	113	16	hamiltonian	hamiltonian	NOUN
cord-189434-nrkvbdu4	113	17	for	for	ADP
cord-189434-nrkvbdu4	113	18	autonomous	autonomous	ADJ
cord-189434-nrkvbdu4	113	19	cases	case	NOUN
cord-189434-nrkvbdu4	113	20	and	and	CCONJ
cord-189434-nrkvbdu4	113	21	may	may	AUX
cord-189434-nrkvbdu4	113	22	thus	thus	ADV
cord-189434-nrkvbdu4	113	23	suffer	suffer	VERB
cord-189434-nrkvbdu4	113	24	from	from	ADP
cord-189434-nrkvbdu4	113	25	long	long	ADJ
cord-189434-nrkvbdu4	113	26	-	-	PUNCT
cord-189434-nrkvbdu4	113	27	term	term	NOUN
cord-189434-nrkvbdu4	113	28	deterioration	deterioration	NOUN
cord-189434-nrkvbdu4	113	29	of	of	ADP
cord-189434-nrkvbdu4	113	30	algorithmic	algorithmic	ADJ
cord-189434-nrkvbdu4	113	31	stability	stability	NOUN
cord-189434-nrkvbdu4	113	32	and	and	CCONJ
cord-189434-nrkvbdu4	113	33	robustness	robustness	NOUN
cord-189434-nrkvbdu4	113	34	.	.	PUNCT
cord-189434-nrkvbdu4	114	1	option	option	NOUN
cord-189434-nrkvbdu4	114	2	b	b	PROPN
cord-189434-nrkvbdu4	114	3	)	)	PUNCT
cord-189434-nrkvbdu4	114	4	variational	variational	PROPN
cord-189434-nrkvbdu4	114	5	integrators	integrator	NOUN
cord-189434-nrkvbdu4	114	6	are	be	AUX
cord-189434-nrkvbdu4	114	7	based	base	VERB
cord-189434-nrkvbdu4	114	8	on	on	ADP
cord-189434-nrkvbdu4	114	9	a	a	DET
cord-189434-nrkvbdu4	114	10	discrete	discrete	ADJ
cord-189434-nrkvbdu4	114	11	form	form	NOUN
cord-189434-nrkvbdu4	114	12	of	of	ADP
cord-189434-nrkvbdu4	114	13	the	the	DET
cord-189434-nrkvbdu4	114	14	action	action	NOUN
cord-189434-nrkvbdu4	114	15	integral	integral	ADJ
cord-189434-nrkvbdu4	114	16	,	,	PUNCT
cord-189434-nrkvbdu4	114	17	whereby	whereby	SCONJ
cord-189434-nrkvbdu4	114	18	the	the	DET
cord-189434-nrkvbdu4	114	19	integrand	integrand	NOUN
cord-189434-nrkvbdu4	114	20	of	of	ADP
cord-189434-nrkvbdu4	114	21	the	the	DET
cord-189434-nrkvbdu4	114	22	action	action	NOUN
cord-189434-nrkvbdu4	114	23	integral	integral	ADJ
cord-189434-nrkvbdu4	114	24	is	be	AUX
cord-189434-nrkvbdu4	114	25	given	give	VERB
cord-189434-nrkvbdu4	114	26	by	by	ADP
cord-189434-nrkvbdu4	114	27	a	a	DET
cord-189434-nrkvbdu4	114	28	discrete	discrete	ADJ
cord-189434-nrkvbdu4	114	29	lagrangian	lagrangian	NOUN
cord-189434-nrkvbdu4	114	30	the	the	DET
cord-189434-nrkvbdu4	114	31	resulting	result	VERB
cord-189434-nrkvbdu4	114	32	discrete	discrete	ADJ
cord-189434-nrkvbdu4	114	33	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	114	34	principle	principle	NOUN
cord-189434-nrkvbdu4	114	35	then	then	ADV
cord-189434-nrkvbdu4	114	36	renders	render	VERB
cord-189434-nrkvbdu4	114	37	a	a	DET
cord-189434-nrkvbdu4	114	38	variational	variational	NOUN
cord-189434-nrkvbdu4	114	39	integrator	integrator	NOUN
cord-189434-nrkvbdu4	114	40	that	that	PRON
cord-189434-nrkvbdu4	114	41	follows	follow	VERB
cord-189434-nrkvbdu4	114	42	from	from	ADP
cord-189434-nrkvbdu4	114	43	the	the	DET
cord-189434-nrkvbdu4	114	44	discrete	discrete	ADJ
cord-189434-nrkvbdu4	114	45	action	action	NOUN
cord-189434-nrkvbdu4	114	46	integral	integral	ADJ
cord-189434-nrkvbdu4	114	47	being	be	AUX
cord-189434-nrkvbdu4	114	48	stationary	stationary	ADJ
cord-189434-nrkvbdu4	114	49	.	.	PUNCT
cord-189434-nrkvbdu4	115	1	variational	variational	PROPN
cord-189434-nrkvbdu4	115	2	integrators	integrator	NOUN
cord-189434-nrkvbdu4	115	3	preserve	preserve	VERB
cord-189434-nrkvbdu4	115	4	symmetries	symmetry	NOUN
cord-189434-nrkvbdu4	115	5	(	(	PUNCT
cord-189434-nrkvbdu4	115	6	momentum	momentum	NOUN
cord-189434-nrkvbdu4	115	7	maps	map	NOUN
cord-189434-nrkvbdu4	115	8	)	)	PUNCT
cord-189434-nrkvbdu4	115	9	and	and	CCONJ
cord-189434-nrkvbdu4	115	10	structure	structure	NOUN
cord-189434-nrkvbdu4	115	11	(	(	PUNCT
cord-189434-nrkvbdu4	115	12	symplecticity	symplecticity	NOUN
cord-189434-nrkvbdu4	115	13	)	)	PUNCT
cord-189434-nrkvbdu4	115	14	and	and	CCONJ
cord-189434-nrkvbdu4	115	15	are	be	AUX
cord-189434-nrkvbdu4	115	16	thus	thus	ADV
cord-189434-nrkvbdu4	115	17	characterized	characterize	VERB
cord-189434-nrkvbdu4	115	18	by	by	ADP
cord-189434-nrkvbdu4	115	19	long	long	ADJ
cord-189434-nrkvbdu4	115	20	-	-	PUNCT
cord-189434-nrkvbdu4	115	21	term	term	NOUN
cord-189434-nrkvbdu4	115	22	algorithmic	algorithmic	ADJ
cord-189434-nrkvbdu4	115	23	accuracy	accuracy	NOUN
cord-189434-nrkvbdu4	115	24	,	,	PUNCT
cord-189434-nrkvbdu4	115	25	stability	stability	NOUN
cord-189434-nrkvbdu4	115	26	,	,	PUNCT
cord-189434-nrkvbdu4	115	27	and	and	CCONJ
cord-189434-nrkvbdu4	115	28	robustness	robustness	NOUN
cord-189434-nrkvbdu4	115	29	,	,	PUNCT
cord-189434-nrkvbdu4	115	30	see	see	VERB
cord-189434-nrkvbdu4	115	31	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	115	32	[	[	X
cord-189434-nrkvbdu4	115	33	15	15	NUM
cord-189434-nrkvbdu4	115	34	]	]	PUNCT
cord-189434-nrkvbdu4	115	35	.	.	PUNCT
cord-189434-nrkvbdu4	116	1	option	option	NOUN
cord-189434-nrkvbdu4	116	2	c	c	PROPN
cord-189434-nrkvbdu4	116	3	)	)	PUNCT
cord-189434-nrkvbdu4	116	4	time	time	NOUN
cord-189434-nrkvbdu4	116	5	-	-	PUNCT
cord-189434-nrkvbdu4	116	6	finite	finite	ADJ
cord-189434-nrkvbdu4	116	7	-	-	PUNCT
cord-189434-nrkvbdu4	116	8	element	element	NOUN
cord-189434-nrkvbdu4	116	9	integrators	integrator	NOUN
cord-189434-nrkvbdu4	116	10	follow	follow	VERB
cord-189434-nrkvbdu4	116	11	from	from	ADP
cord-189434-nrkvbdu4	116	12	discretizing	discretize	VERB
cord-189434-nrkvbdu4	116	13	the	the	DET
cord-189434-nrkvbdu4	116	14	galerkin	galerkin	PROPN
cord-189434-nrkvbdu4	116	15	(	(	PUNCT
cord-189434-nrkvbdu4	116	16	weak	weak	ADJ
cord-189434-nrkvbdu4	116	17	)	)	PUNCT
cord-189434-nrkvbdu4	116	18	form	form	NOUN
cord-189434-nrkvbdu4	116	19	of	of	ADP
cord-189434-nrkvbdu4	116	20	the	the	DET
cord-189434-nrkvbdu4	116	21	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	116	22	equations	equation	NOUN
cord-189434-nrkvbdu4	116	23	choosing	choose	VERB
cord-189434-nrkvbdu4	116	24	appropriate	appropriate	ADJ
cord-189434-nrkvbdu4	116	25	ansatz	ansatz	NOUN
cord-189434-nrkvbdu4	116	26	spaces	space	NOUN
cord-189434-nrkvbdu4	116	27	for	for	ADP
cord-189434-nrkvbdu4	116	28	the	the	DET
cord-189434-nrkvbdu4	116	29	test	test	NOUN
cord-189434-nrkvbdu4	116	30	and	and	CCONJ
cord-189434-nrkvbdu4	116	31	trial	trial	NOUN
cord-189434-nrkvbdu4	116	32	functions	function	NOUN
cord-189434-nrkvbdu4	116	33	,	,	PUNCT
cord-189434-nrkvbdu4	116	34	and	and	CCONJ
cord-189434-nrkvbdu4	116	35	suited	suited	ADJ
cord-189434-nrkvbdu4	116	36	quadrature	quadrature	NOUN
cord-189434-nrkvbdu4	116	37	rules	rule	NOUN
cord-189434-nrkvbdu4	116	38	for	for	ADP
cord-189434-nrkvbdu4	116	39	approximating	approximate	VERB
cord-189434-nrkvbdu4	116	40	the	the	DET
cord-189434-nrkvbdu4	116	41	time	time	NOUN
cord-189434-nrkvbdu4	116	42	integrals	integral	NOUN
cord-189434-nrkvbdu4	116	43	render	render	VERB
cord-189434-nrkvbdu4	116	44	integrators	integrator	NOUN
cord-189434-nrkvbdu4	116	45	of	of	ADP
cord-189434-nrkvbdu4	116	46	arbitrary	arbitrary	ADJ
cord-189434-nrkvbdu4	116	47	algorithmic	algorithmic	ADJ
cord-189434-nrkvbdu4	116	48	accuracy	accuracy	NOUN
cord-189434-nrkvbdu4	116	49	that	that	PRON
cord-189434-nrkvbdu4	116	50	are	be	AUX
cord-189434-nrkvbdu4	116	51	also	also	ADV
cord-189434-nrkvbdu4	116	52	characterized	characterize	VERB
cord-189434-nrkvbdu4	116	53	by	by	ADP
cord-189434-nrkvbdu4	116	54	long	long	ADJ
cord-189434-nrkvbdu4	116	55	-	-	PUNCT
cord-189434-nrkvbdu4	116	56	term	term	NOUN
cord-189434-nrkvbdu4	116	57	algorithmic	algorithmic	ADJ
cord-189434-nrkvbdu4	116	58	stability	stability	NOUN
cord-189434-nrkvbdu4	116	59	and	and	CCONJ
cord-189434-nrkvbdu4	116	60	robustness	robustness	NOUN
cord-189434-nrkvbdu4	116	61	,	,	PUNCT
cord-189434-nrkvbdu4	116	62	see	see	VERB
cord-189434-nrkvbdu4	116	63	,	,	PUNCT
cord-189434-nrkvbdu4	116	64	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	116	65	[	[	X
cord-189434-nrkvbdu4	116	66	3	3	NUM
cord-189434-nrkvbdu4	116	67	]	]	PUNCT
cord-189434-nrkvbdu4	116	68	.	.	PUNCT
cord-189434-nrkvbdu4	117	1	the	the	DET
cord-189434-nrkvbdu4	117	2	underlying	underlying	ADJ
cord-189434-nrkvbdu4	117	3	equations	equation	NOUN
cord-189434-nrkvbdu4	117	4	governing	govern	VERB
cord-189434-nrkvbdu4	117	5	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	117	6	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	117	7	are	be	AUX
cord-189434-nrkvbdu4	117	8	oftentimes	oftentime	NOUN
cord-189434-nrkvbdu4	117	9	unknown	unknown	ADJ
cord-189434-nrkvbdu4	117	10	.	.	PUNCT
cord-189434-nrkvbdu4	118	1	however	however	ADV
cord-189434-nrkvbdu4	118	2	,	,	PUNCT
cord-189434-nrkvbdu4	118	3	they	they	PRON
cord-189434-nrkvbdu4	118	4	may	may	AUX
cord-189434-nrkvbdu4	118	5	be	be	AUX
cord-189434-nrkvbdu4	118	6	discovered	discover	VERB
cord-189434-nrkvbdu4	118	7	from	from	ADP
cord-189434-nrkvbdu4	118	8	a	a	DET
cord-189434-nrkvbdu4	118	9	data	data	NOUN
cord-189434-nrkvbdu4	118	10	-	-	PUNCT
cord-189434-nrkvbdu4	118	11	driven	drive	VERB
cord-189434-nrkvbdu4	118	12	approach	approach	NOUN
cord-189434-nrkvbdu4	118	13	[	[	X
cord-189434-nrkvbdu4	118	14	4	4	NUM
cord-189434-nrkvbdu4	118	15	]	]	PUNCT
cord-189434-nrkvbdu4	118	16	if	if	SCONJ
cord-189434-nrkvbdu4	118	17	sufficient	sufficient	ADJ
cord-189434-nrkvbdu4	118	18	many	many	ADJ
cord-189434-nrkvbdu4	118	19	data	datum	NOUN
cord-189434-nrkvbdu4	118	20	is	be	AUX
cord-189434-nrkvbdu4	118	21	available	available	ADJ
cord-189434-nrkvbdu4	118	22	,	,	PUNCT
cord-189434-nrkvbdu4	118	23	a	a	DET
cord-189434-nrkvbdu4	118	24	scenario	scenario	NOUN
cord-189434-nrkvbdu4	118	25	that	that	PRON
cord-189434-nrkvbdu4	118	26	is	be	AUX
cord-189434-nrkvbdu4	118	27	typically	typically	ADV
cord-189434-nrkvbdu4	118	28	met	meet	VERB
cord-189434-nrkvbdu4	118	29	for	for	ADP
cord-189434-nrkvbdu4	118	30	the	the	DET
cord-189434-nrkvbdu4	118	31	spatio	spatio	ADJ
cord-189434-nrkvbdu4	118	32	-	-	ADJ
cord-189434-nrkvbdu4	118	33	temporal	temporal	ADJ
cord-189434-nrkvbdu4	118	34	spread	spread	NOUN
cord-189434-nrkvbdu4	118	35	of	of	ADP
cord-189434-nrkvbdu4	118	36	infectious	infectious	ADJ
cord-189434-nrkvbdu4	118	37	diseases	disease	NOUN
cord-189434-nrkvbdu4	118	38	.	.	PUNCT
cord-189434-nrkvbdu4	119	1	the	the	DET
cord-189434-nrkvbdu4	119	2	key	key	ADJ
cord-189434-nrkvbdu4	119	3	idea	idea	NOUN
cord-189434-nrkvbdu4	119	4	is	be	AUX
cord-189434-nrkvbdu4	119	5	then	then	ADV
cord-189434-nrkvbdu4	119	6	to	to	PART
cord-189434-nrkvbdu4	119	7	connect	connect	VERB
cord-189434-nrkvbdu4	119	8	the	the	DET
cord-189434-nrkvbdu4	119	9	matrix	matrix	NOUN
cord-189434-nrkvbdu4	119	10	arrangement	arrangement	NOUN
cord-189434-nrkvbdu4	119	11	of	of	ADP
cord-189434-nrkvbdu4	119	12	available	available	ADJ
cord-189434-nrkvbdu4	119	13	discrete	discrete	ADJ
cord-189434-nrkvbdu4	119	14	data	datum	NOUN
cord-189434-nrkvbdu4	119	15	points	point	NOUN
cord-189434-nrkvbdu4	119	16	for	for	ADP
cord-189434-nrkvbdu4	119	17	the	the	DET
cord-189434-nrkvbdu4	119	18	rate	rate	NOUN
cord-189434-nrkvbdu4	119	19	of	of	ADP
cord-189434-nrkvbdu4	119	20	the	the	DET
cord-189434-nrkvbdu4	119	21	phase	phase	NOUN
cord-189434-nrkvbdu4	119	22	space	space	NOUN
cord-189434-nrkvbdu4	119	23	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	119	24	by	by	ADP
cord-189434-nrkvbdu4	119	25	a	a	DET
cord-189434-nrkvbdu4	119	26	matrix	matrix	NOUN
cord-189434-nrkvbdu4	119	27	of	of	ADP
cord-189434-nrkvbdu4	119	28	ansatz	ansatz	PROPN
cord-189434-nrkvbdu4	119	29	functions	function	NOUN
cord-189434-nrkvbdu4	119	30	,	,	PUNCT
cord-189434-nrkvbdu4	119	31	e.g.	e.g.	ADV
cord-189434-nrkvbdu4	119	32	monomials	monomial	NOUN
cord-189434-nrkvbdu4	119	33	of	of	ADP
cord-189434-nrkvbdu4	119	34	the	the	DET
cord-189434-nrkvbdu4	119	35	matrix	matrix	NOUN
cord-189434-nrkvbdu4	119	36	arrangement	arrangement	NOUN
cord-189434-nrkvbdu4	119	37	of	of	ADP
cord-189434-nrkvbdu4	119	38	available	available	ADJ
cord-189434-nrkvbdu4	119	39	discrete	discrete	ADJ
cord-189434-nrkvbdu4	119	40	data	datum	NOUN
cord-189434-nrkvbdu4	119	41	points	point	NOUN
cord-189434-nrkvbdu4	119	42	for	for	ADP
cord-189434-nrkvbdu4	119	43	the	the	DET
cord-189434-nrkvbdu4	119	44	phase	phase	NOUN
cord-189434-nrkvbdu4	119	45	space	space	NOUN
cord-189434-nrkvbdu4	119	46	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	119	47	,	,	PUNCT
cord-189434-nrkvbdu4	119	48	with	with	ADP
cord-189434-nrkvbdu4	119	49	the	the	DET
cord-189434-nrkvbdu4	119	50	matrix	matrix	NOUN
cord-189434-nrkvbdu4	119	51	arrangement	arrangement	NOUN
cord-189434-nrkvbdu4	119	52	of	of	ADP
cord-189434-nrkvbdu4	119	53	discrete	discrete	ADJ
cord-189434-nrkvbdu4	119	54	ansatz	ansatz	ADJ
cord-189434-nrkvbdu4	119	55	parameters	parameter	NOUN
cord-189434-nrkvbdu4	119	56	.	.	PUNCT
cord-189434-nrkvbdu4	120	1	[	[	X
cord-189434-nrkvbdu4	120	2	z	z	X
cord-189434-nrkvbdu4	120	3	•	•	SYM
cord-189434-nrkvbdu4	120	4	dat	dat	PROPN
cord-189434-nrkvbdu4	120	5	1	1	NUM
cord-189434-nrkvbdu4	120	6	,	,	PUNCT
cord-189434-nrkvbdu4	120	7	·	·	PUNCT
cord-189434-nrkvbdu4	120	8	·	·	PUNCT
cord-189434-nrkvbdu4	120	9	·	·	PUNCT
cord-189434-nrkvbdu4	120	10	,	,	PUNCT
cord-189434-nrkvbdu4	120	11	z	z	PROPN
cord-189434-nrkvbdu4	120	12	•	•	PUNCT
cord-189434-nrkvbdu4	120	13	datmax	datmax	PROPN
cord-189434-nrkvbdu4	120	14	]	]	PUNCT
cord-189434-nrkvbdu4	120	15	t	t	PROPN
cord-189434-nrkvbdu4	120	16	=	=	NOUN
cord-189434-nrkvbdu4	120	17	a(z	a(z	X
cord-189434-nrkvbdu4	120	18	dat	dat	VERB
cord-189434-nrkvbdu4	120	19	1	1	NUM
cord-189434-nrkvbdu4	120	20	,	,	PUNCT
cord-189434-nrkvbdu4	120	21	·	·	PUNCT
cord-189434-nrkvbdu4	120	22	·	·	PUNCT
cord-189434-nrkvbdu4	120	23	·	·	PUNCT
cord-189434-nrkvbdu4	120	24	,	,	PUNCT
cord-189434-nrkvbdu4	120	25	z	z	NOUN
cord-189434-nrkvbdu4	120	26	datmax	datmax	NOUN
cord-189434-nrkvbdu4	120	27	)	)	PUNCT
cord-189434-nrkvbdu4	121	1	[	[	X
cord-189434-nrkvbdu4	121	2	a	a	DET
cord-189434-nrkvbdu4	121	3	par	par	NOUN
cord-189434-nrkvbdu4	121	4	1	1	NUM
cord-189434-nrkvbdu4	121	5	,	,	PUNCT
cord-189434-nrkvbdu4	121	6	·	·	PUNCT
cord-189434-nrkvbdu4	121	7	·	·	PUNCT
cord-189434-nrkvbdu4	121	8	·	·	PUNCT
cord-189434-nrkvbdu4	121	9	,	,	PUNCT
cord-189434-nrkvbdu4	121	10	a	a	DET
cord-189434-nrkvbdu4	121	11	par	par	NOUN
cord-189434-nrkvbdu4	121	12	max	max	NOUN
cord-189434-nrkvbdu4	121	13	]	]	PUNCT
cord-189434-nrkvbdu4	121	14	t	t	PROPN
cord-189434-nrkvbdu4	121	15	.	.	PUNCT
cord-189434-nrkvbdu4	122	1	only	only	ADV
cord-189434-nrkvbdu4	122	2	few	few	ADJ
cord-189434-nrkvbdu4	122	3	relevant	relevant	ADJ
cord-189434-nrkvbdu4	122	4	entries	entry	NOUN
cord-189434-nrkvbdu4	122	5	in	in	ADP
cord-189434-nrkvbdu4	122	6	the	the	DET
cord-189434-nrkvbdu4	122	7	matrix	matrix	NOUN
cord-189434-nrkvbdu4	122	8	arrangement	arrangement	NOUN
cord-189434-nrkvbdu4	122	9	of	of	ADP
cord-189434-nrkvbdu4	122	10	the	the	DET
cord-189434-nrkvbdu4	122	11	discrete	discrete	ADJ
cord-189434-nrkvbdu4	122	12	ansatz	ansatz	ADJ
cord-189434-nrkvbdu4	122	13	parameters	parameter	NOUN
cord-189434-nrkvbdu4	122	14	are	be	AUX
cord-189434-nrkvbdu4	122	15	then	then	ADV
cord-189434-nrkvbdu4	122	16	determined	determined	ADJ
cord-189434-nrkvbdu4	122	17	from	from	ADP
cord-189434-nrkvbdu4	122	18	sparse	sparse	ADJ
cord-189434-nrkvbdu4	122	19	regression	regression	NOUN
cord-189434-nrkvbdu4	122	20	,	,	PUNCT
cord-189434-nrkvbdu4	122	21	consequently	consequently	ADV
cord-189434-nrkvbdu4	122	22	the	the	DET
cord-189434-nrkvbdu4	122	23	resulting	result	VERB
cord-189434-nrkvbdu4	122	24	models	model	NOUN
cord-189434-nrkvbdu4	122	25	are	be	AUX
cord-189434-nrkvbdu4	122	26	denoted	denote	VERB
cord-189434-nrkvbdu4	122	27	as	as	ADP
cord-189434-nrkvbdu4	122	28	parsimonious	parsimonious	ADJ
cord-189434-nrkvbdu4	122	29	and	and	CCONJ
cord-189434-nrkvbdu4	122	30	compromise	compromise	NOUN
cord-189434-nrkvbdu4	122	31	between	between	ADP
cord-189434-nrkvbdu4	122	32	accuracy	accuracy	NOUN
cord-189434-nrkvbdu4	122	33	and	and	CCONJ
cord-189434-nrkvbdu4	122	34	complexity	complexity	NOUN
cord-189434-nrkvbdu4	122	35	,	,	PUNCT
cord-189434-nrkvbdu4	122	36	while	while	SCONJ
cord-189434-nrkvbdu4	122	37	avoiding	avoid	VERB
cord-189434-nrkvbdu4	122	38	overfitting	overfitte	VERB
cord-189434-nrkvbdu4	122	39	.	.	PUNCT
cord-189434-nrkvbdu4	123	1	vista	vista	PROPN
cord-189434-nrkvbdu4	123	2	8	8	NUM
cord-189434-nrkvbdu4	123	3	:	:	PUNCT
cord-189434-nrkvbdu4	123	4	many	many	ADJ
cord-189434-nrkvbdu4	123	5	more	more	ADJ
cord-189434-nrkvbdu4	123	6	modelling	modelling	NOUN
cord-189434-nrkvbdu4	123	7	approaches	approach	NOUN
cord-189434-nrkvbdu4	123	8	inspired	inspire	VERB
cord-189434-nrkvbdu4	123	9	by	by	ADP
cord-189434-nrkvbdu4	123	10	analytical	analytical	ADJ
cord-189434-nrkvbdu4	123	11	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	123	12	are	be	AUX
cord-189434-nrkvbdu4	123	13	conceivable	conceivable	ADJ
cord-189434-nrkvbdu4	123	14	and	and	CCONJ
cord-189434-nrkvbdu4	123	15	it	it	PRON
cord-189434-nrkvbdu4	123	16	is	be	AUX
cord-189434-nrkvbdu4	123	17	left	leave	VERB
cord-189434-nrkvbdu4	123	18	to	to	ADP
cord-189434-nrkvbdu4	123	19	the	the	DET
cord-189434-nrkvbdu4	123	20	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	123	21	community	community	NOUN
cord-189434-nrkvbdu4	123	22	to	to	PART
cord-189434-nrkvbdu4	123	23	harness	harness	VERB
cord-189434-nrkvbdu4	123	24	those	those	PRON
cord-189434-nrkvbdu4	123	25	to	to	PART
cord-189434-nrkvbdu4	123	26	further	far	ADV
cord-189434-nrkvbdu4	123	27	improve	improve	VERB
cord-189434-nrkvbdu4	123	28	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	123	29	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	123	30	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	123	31	modelling	modelling	NOUN
cord-189434-nrkvbdu4	123	32	.	.	PUNCT
cord-189434-nrkvbdu4	124	1	first	first	ADV
cord-189434-nrkvbdu4	124	2	,	,	PUNCT
cord-189434-nrkvbdu4	124	3	this	this	DET
cord-189434-nrkvbdu4	124	4	contribution	contribution	NOUN
cord-189434-nrkvbdu4	124	5	explored	explore	VERB
cord-189434-nrkvbdu4	124	6	options	option	NOUN
cord-189434-nrkvbdu4	124	7	of	of	ADP
cord-189434-nrkvbdu4	124	8	how	how	SCONJ
cord-189434-nrkvbdu4	124	9	to	to	PART
cord-189434-nrkvbdu4	124	10	recast	recast	VERB
cord-189434-nrkvbdu4	124	11	the	the	DET
cord-189434-nrkvbdu4	124	12	classical	classical	ADJ
cord-189434-nrkvbdu4	124	13	sir	sir	NOUN
cord-189434-nrkvbdu4	124	14	model	model	NOUN
cord-189434-nrkvbdu4	124	15	of	of	ADP
cord-189434-nrkvbdu4	124	16	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	124	17	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	124	18	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	124	19	modelling	model	VERB
cord-189434-nrkvbdu4	124	20	in	in	ADP
cord-189434-nrkvbdu4	124	21	the	the	DET
cord-189434-nrkvbdu4	124	22	variational	variational	ADJ
cord-189434-nrkvbdu4	124	23	setting	setting	NOUN
cord-189434-nrkvbdu4	124	24	of	of	ADP
cord-189434-nrkvbdu4	124	25	analytical	analytical	ADJ
cord-189434-nrkvbdu4	124	26	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	124	27	.	.	PUNCT
cord-189434-nrkvbdu4	125	1	in	in	ADP
cord-189434-nrkvbdu4	125	2	particular	particular	ADJ
cord-189434-nrkvbdu4	125	3	,	,	PUNCT
cord-189434-nrkvbdu4	125	4	it	it	PRON
cord-189434-nrkvbdu4	125	5	demonstrated	demonstrate	VERB
cord-189434-nrkvbdu4	125	6	that	that	SCONJ
cord-189434-nrkvbdu4	125	7	two	two	NUM
cord-189434-nrkvbdu4	125	8	conceptually	conceptually	ADV
cord-189434-nrkvbdu4	125	9	entirely	entirely	ADV
cord-189434-nrkvbdu4	125	10	different	different	ADJ
cord-189434-nrkvbdu4	125	11	re	re	NOUN
cord-189434-nrkvbdu4	125	12	-	-	NOUN
cord-189434-nrkvbdu4	125	13	parameterizations	parameterization	NOUN
cord-189434-nrkvbdu4	125	14	of	of	ADP
cord-189434-nrkvbdu4	125	15	the	the	DET
cord-189434-nrkvbdu4	125	16	basic	basic	ADJ
cord-189434-nrkvbdu4	125	17	sir	sir	PROPN
cord-189434-nrkvbdu4	125	18	model	model	NOUN
cord-189434-nrkvbdu4	125	19	,	,	PUNCT
cord-189434-nrkvbdu4	125	20	i.e.	i.e.	X
cord-189434-nrkvbdu4	125	21	either	either	CCONJ
cord-189434-nrkvbdu4	125	22	by	by	ADP
cord-189434-nrkvbdu4	125	23	re	re	NOUN
cord-189434-nrkvbdu4	125	24	-	-	VERB
cord-189434-nrkvbdu4	125	25	scaling	scale	VERB
cord-189434-nrkvbdu4	125	26	time	time	NOUN
cord-189434-nrkvbdu4	125	27	or	or	CCONJ
cord-189434-nrkvbdu4	125	28	by	by	ADP
cord-189434-nrkvbdu4	125	29	transforming	transform	VERB
cord-189434-nrkvbdu4	125	30	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	125	31	(	(	PUNCT
cord-189434-nrkvbdu4	125	32	independent	independent	ADJ
cord-189434-nrkvbdu4	125	33	variables	variable	NOUN
cord-189434-nrkvbdu4	125	34	)	)	PUNCT
cord-189434-nrkvbdu4	125	35	,	,	PUNCT
cord-189434-nrkvbdu4	125	36	severely	severely	ADV
cord-189434-nrkvbdu4	125	37	ease	ease	VERB
cord-189434-nrkvbdu4	125	38	identification	identification	NOUN
cord-189434-nrkvbdu4	125	39	of	of	ADP
cord-189434-nrkvbdu4	125	40	corresponding	correspond	VERB
cord-189434-nrkvbdu4	125	41	hamiltonians	hamiltonian	NOUN
cord-189434-nrkvbdu4	125	42	and	and	CCONJ
cord-189434-nrkvbdu4	125	43	lagrangians	lagrangians	PROPN
cord-189434-nrkvbdu4	125	44	for	for	ADP
cord-189434-nrkvbdu4	125	45	use	use	NOUN
cord-189434-nrkvbdu4	125	46	within	within	ADP
cord-189434-nrkvbdu4	125	47	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	125	48	's	's	PART
cord-189434-nrkvbdu4	125	49	equations	equation	NOUN
cord-189434-nrkvbdu4	125	50	and	and	CCONJ
cord-189434-nrkvbdu4	125	51	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	125	52	's	's	PART
cord-189434-nrkvbdu4	125	53	principle	principle	NOUN
cord-189434-nrkvbdu4	125	54	.	.	PUNCT
cord-189434-nrkvbdu4	126	1	in	in	ADP
cord-189434-nrkvbdu4	126	2	each	each	DET
cord-189434-nrkvbdu4	126	3	case	case	NOUN
cord-189434-nrkvbdu4	126	4	,	,	PUNCT
cord-189434-nrkvbdu4	126	5	formulations	formulation	NOUN
cord-189434-nrkvbdu4	126	6	in	in	ADP
cord-189434-nrkvbdu4	126	7	either	either	CCONJ
cord-189434-nrkvbdu4	126	8	minimal	minimal	ADJ
cord-189434-nrkvbdu4	126	9	or	or	CCONJ
cord-189434-nrkvbdu4	126	10	extended	extended	ADJ
cord-189434-nrkvbdu4	126	11	phase	phase	NOUN
cord-189434-nrkvbdu4	126	12	and	and	CCONJ
cord-189434-nrkvbdu4	126	13	state	state	NOUN
cord-189434-nrkvbdu4	126	14	space	space	NOUN
cord-189434-nrkvbdu4	126	15	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	126	16	are	be	AUX
cord-189434-nrkvbdu4	126	17	possibly	possibly	ADV
cord-189434-nrkvbdu4	126	18	,	,	PUNCT
cord-189434-nrkvbdu4	126	19	providing	provide	VERB
cord-189434-nrkvbdu4	126	20	in	in	ADP
cord-189434-nrkvbdu4	126	21	total	total	ADJ
cord-189434-nrkvbdu4	126	22	eight	eight	NUM
cord-189434-nrkvbdu4	126	23	different	different	ADJ
cord-189434-nrkvbdu4	126	24	modelling	modelling	NOUN
cord-189434-nrkvbdu4	126	25	options	option	NOUN
cord-189434-nrkvbdu4	126	26	.	.	PUNCT
cord-189434-nrkvbdu4	127	1	interestingly	interestingly	ADV
cord-189434-nrkvbdu4	127	2	,	,	PUNCT
cord-189434-nrkvbdu4	127	3	in	in	ADP
cord-189434-nrkvbdu4	127	4	minimal	minimal	ADJ
cord-189434-nrkvbdu4	127	5	phase	phase	NOUN
cord-189434-nrkvbdu4	127	6	space	space	NOUN
cord-189434-nrkvbdu4	127	7	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	127	8	,	,	PUNCT
cord-189434-nrkvbdu4	127	9	the	the	DET
cord-189434-nrkvbdu4	127	10	stock	stock	NOUN
cord-189434-nrkvbdu4	127	11	of	of	ADP
cord-189434-nrkvbdu4	127	12	individuals	individual	NOUN
cord-189434-nrkvbdu4	127	13	in	in	ADP
cord-189434-nrkvbdu4	127	14	the	the	DET
cord-189434-nrkvbdu4	127	15	infected	infected	ADJ
cord-189434-nrkvbdu4	127	16	and	and	CCONJ
cord-189434-nrkvbdu4	127	17	the	the	DET
cord-189434-nrkvbdu4	127	18	susceptible	susceptible	ADJ
cord-189434-nrkvbdu4	127	19	compartments	compartment	NOUN
cord-189434-nrkvbdu4	127	20	represent	represent	VERB
cord-189434-nrkvbdu4	127	21	the	the	DET
cord-189434-nrkvbdu4	127	22	generalized	generalized	ADJ
cord-189434-nrkvbdu4	127	23	coordinate	coordinate	NOUN
cord-189434-nrkvbdu4	127	24	and	and	CCONJ
cord-189434-nrkvbdu4	127	25	the	the	DET
cord-189434-nrkvbdu4	127	26	generalized	generalized	ADJ
cord-189434-nrkvbdu4	127	27	momentum	momentum	NOUN
cord-189434-nrkvbdu4	127	28	,	,	PUNCT
cord-189434-nrkvbdu4	127	29	respectively	respectively	ADV
cord-189434-nrkvbdu4	127	30	.	.	PUNCT
cord-189434-nrkvbdu4	128	1	in	in	ADP
cord-189434-nrkvbdu4	128	2	contrast	contrast	NOUN
cord-189434-nrkvbdu4	128	3	,	,	PUNCT
cord-189434-nrkvbdu4	128	4	for	for	ADP
cord-189434-nrkvbdu4	128	5	extended	extended	ADJ
cord-189434-nrkvbdu4	128	6	phase	phase	NOUN
cord-189434-nrkvbdu4	128	7	space	space	NOUN
cord-189434-nrkvbdu4	128	8	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	128	9	,	,	PUNCT
cord-189434-nrkvbdu4	128	10	they	they	PRON
cord-189434-nrkvbdu4	128	11	jointly	jointly	ADV
cord-189434-nrkvbdu4	128	12	represent	represent	VERB
cord-189434-nrkvbdu4	128	13	the	the	DET
cord-189434-nrkvbdu4	128	14	generalized	generalized	ADJ
cord-189434-nrkvbdu4	128	15	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	128	16	,	,	PUNCT
cord-189434-nrkvbdu4	128	17	whereas	whereas	SCONJ
cord-189434-nrkvbdu4	128	18	the	the	DET
cord-189434-nrkvbdu4	128	19	associated	associated	ADJ
cord-189434-nrkvbdu4	128	20	generalized	generalized	ADJ
cord-189434-nrkvbdu4	128	21	momenta	momenta	NOUN
cord-189434-nrkvbdu4	128	22	are	be	AUX
cord-189434-nrkvbdu4	128	23	initially	initially	ADV
cord-189434-nrkvbdu4	128	24	unknown	unknown	ADJ
cord-189434-nrkvbdu4	128	25	and	and	CCONJ
cord-189434-nrkvbdu4	128	26	only	only	ADV
cord-189434-nrkvbdu4	128	27	follow	follow	VERB
cord-189434-nrkvbdu4	128	28	from	from	ADP
cord-189434-nrkvbdu4	128	29	exploiting	exploit	VERB
cord-189434-nrkvbdu4	128	30	a	a	DET
cord-189434-nrkvbdu4	128	31	constraint	constraint	NOUN
cord-189434-nrkvbdu4	128	32	on	on	ADP
cord-189434-nrkvbdu4	128	33	the	the	DET
cord-189434-nrkvbdu4	128	34	extended	extended	ADJ
cord-189434-nrkvbdu4	128	35	phase	phase	NOUN
cord-189434-nrkvbdu4	128	36	space	space	NOUN
cord-189434-nrkvbdu4	128	37	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	128	38	.	.	PUNCT
cord-189434-nrkvbdu4	129	1	however	however	ADV
cord-189434-nrkvbdu4	129	2	,	,	PUNCT
cord-189434-nrkvbdu4	129	3	regardless	regardless	ADV
cord-189434-nrkvbdu4	129	4	of	of	ADP
cord-189434-nrkvbdu4	129	5	the	the	DET
cord-189434-nrkvbdu4	129	6	particular	particular	ADJ
cord-189434-nrkvbdu4	129	7	formulation	formulation	NOUN
cord-189434-nrkvbdu4	129	8	chosen	choose	VERB
cord-189434-nrkvbdu4	129	9	,	,	PUNCT
cord-189434-nrkvbdu4	129	10	from	from	ADP
cord-189434-nrkvbdu4	129	11	either	either	CCONJ
cord-189434-nrkvbdu4	129	12	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	129	13	's	's	PART
cord-189434-nrkvbdu4	129	14	equations	equation	NOUN
cord-189434-nrkvbdu4	129	15	or	or	CCONJ
cord-189434-nrkvbdu4	129	16	hamilton	hamilton	PROPN
cord-189434-nrkvbdu4	129	17	's	's	PART
cord-189434-nrkvbdu4	129	18	principle	principle	ADJ
cord-189434-nrkvbdu4	129	19	one	one	NOUN
cord-189434-nrkvbdu4	129	20	eventually	eventually	ADV
cord-189434-nrkvbdu4	129	21	recovers	recover	VERB
cord-189434-nrkvbdu4	129	22	the	the	DET
cord-189434-nrkvbdu4	129	23	original	original	ADJ
cord-189434-nrkvbdu4	129	24	set	set	NOUN
cord-189434-nrkvbdu4	129	25	of	of	ADP
cord-189434-nrkvbdu4	129	26	coupled	couple	VERB
cord-189434-nrkvbdu4	129	27	odes	ode	NOUN
cord-189434-nrkvbdu4	129	28	of	of	ADP
cord-189434-nrkvbdu4	129	29	the	the	DET
cord-189434-nrkvbdu4	129	30	sir	sir	PROPN
cord-189434-nrkvbdu4	129	31	model	model	NOUN
cord-189434-nrkvbdu4	129	32	.	.	PUNCT
cord-189434-nrkvbdu4	130	1	as	as	ADP
cord-189434-nrkvbdu4	130	2	a	a	DET
cord-189434-nrkvbdu4	130	3	recommendation	recommendation	NOUN
cord-189434-nrkvbdu4	130	4	,	,	PUNCT
cord-189434-nrkvbdu4	130	5	logarithmically	logarithmically	ADV
cord-189434-nrkvbdu4	130	6	transforming	transform	VERB
cord-189434-nrkvbdu4	130	7	the	the	DET
cord-189434-nrkvbdu4	130	8	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	130	9	appears	appear	VERB
cord-189434-nrkvbdu4	130	10	more	more	ADV
cord-189434-nrkvbdu4	130	11	attractive	attractive	ADJ
cord-189434-nrkvbdu4	130	12	,	,	PUNCT
cord-189434-nrkvbdu4	130	13	since	since	SCONJ
cord-189434-nrkvbdu4	130	14	derivatives	derivative	NOUN
cord-189434-nrkvbdu4	130	15	with	with	ADP
cord-189434-nrkvbdu4	130	16	respect	respect	NOUN
cord-189434-nrkvbdu4	130	17	to	to	ADP
cord-189434-nrkvbdu4	130	18	ordinary	ordinary	ADJ
cord-189434-nrkvbdu4	130	19	time	time	NOUN
cord-189434-nrkvbdu4	130	20	are	be	AUX
cord-189434-nrkvbdu4	130	21	retained	retain	VERB
cord-189434-nrkvbdu4	130	22	for	for	ADP
cord-189434-nrkvbdu4	130	23	the	the	DET
cord-189434-nrkvbdu4	130	24	evolution	evolution	NOUN
cord-189434-nrkvbdu4	130	25	of	of	ADP
cord-189434-nrkvbdu4	130	26	the	the	DET
cord-189434-nrkvbdu4	130	27	phase	phase	NOUN
cord-189434-nrkvbdu4	130	28	space	space	NOUN
cord-189434-nrkvbdu4	130	29	coordinates	coordinate	NOUN
cord-189434-nrkvbdu4	130	30	.	.	PUNCT
cord-189434-nrkvbdu4	131	1	as	as	ADP
cord-189434-nrkvbdu4	131	2	an	an	DET
cord-189434-nrkvbdu4	131	3	important	important	ADJ
cord-189434-nrkvbdu4	131	4	perspective	perspective	NOUN
cord-189434-nrkvbdu4	131	5	,	,	PUNCT
cord-189434-nrkvbdu4	131	6	recasting	recast	VERB
cord-189434-nrkvbdu4	131	7	the	the	DET
cord-189434-nrkvbdu4	131	8	classical	classical	ADJ
cord-189434-nrkvbdu4	131	9	sir	sir	NOUN
cord-189434-nrkvbdu4	131	10	model	model	NOUN
cord-189434-nrkvbdu4	131	11	in	in	ADP
cord-189434-nrkvbdu4	131	12	one	one	NUM
cord-189434-nrkvbdu4	131	13	of	of	ADP
cord-189434-nrkvbdu4	131	14	the	the	DET
cord-189434-nrkvbdu4	131	15	eight	eight	NUM
cord-189434-nrkvbdu4	131	16	different	different	ADJ
cord-189434-nrkvbdu4	131	17	modelling	modelling	NOUN
cord-189434-nrkvbdu4	131	18	options	option	NOUN
cord-189434-nrkvbdu4	131	19	enables	enable	VERB
cord-189434-nrkvbdu4	131	20	the	the	DET
cord-189434-nrkvbdu4	131	21	analytical	analytical	ADJ
cord-189434-nrkvbdu4	131	22	mechanician	mechanician	NOUN
cord-189434-nrkvbdu4	131	23	to	to	PART
cord-189434-nrkvbdu4	131	24	employ	employ	VERB
cord-189434-nrkvbdu4	131	25	the	the	DET
cord-189434-nrkvbdu4	131	26	full	full	ADJ
cord-189434-nrkvbdu4	131	27	mechanical	mechanical	ADJ
cord-189434-nrkvbdu4	131	28	modelling	modelling	NOUN
cord-189434-nrkvbdu4	131	29	tool	tool	NOUN
cord-189434-nrkvbdu4	131	30	-	-	PUNCT
cord-189434-nrkvbdu4	131	31	set	set	NOUN
cord-189434-nrkvbdu4	131	32	for	for	ADP
cord-189434-nrkvbdu4	131	33	a	a	DET
cord-189434-nrkvbdu4	131	34	plethora	plethora	NOUN
cord-189434-nrkvbdu4	131	35	of	of	ADP
cord-189434-nrkvbdu4	131	36	important	important	ADJ
cord-189434-nrkvbdu4	131	37	extensions	extension	NOUN
cord-189434-nrkvbdu4	131	38	.	.	PUNCT
cord-189434-nrkvbdu4	132	1	the	the	DET
cord-189434-nrkvbdu4	132	2	striking	striking	ADJ
cord-189434-nrkvbdu4	132	3	analogy	analogy	NOUN
cord-189434-nrkvbdu4	132	4	between	between	ADP
cord-189434-nrkvbdu4	132	5	analytical	analytical	ADJ
cord-189434-nrkvbdu4	132	6	mechanics	mechanic	NOUN
cord-189434-nrkvbdu4	132	7	and	and	CCONJ
cord-189434-nrkvbdu4	132	8	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	132	9	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	132	10	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	132	11	modelling	modelling	NOUN
cord-189434-nrkvbdu4	132	12	opens	open	VERB
cord-189434-nrkvbdu4	132	13	up	up	ADP
cord-189434-nrkvbdu4	132	14	a	a	DET
cord-189434-nrkvbdu4	132	15	multitude	multitude	NOUN
cord-189434-nrkvbdu4	132	16	of	of	ADP
cord-189434-nrkvbdu4	132	17	fascinating	fascinating	ADJ
cord-189434-nrkvbdu4	132	18	and	and	CCONJ
cord-189434-nrkvbdu4	132	19	relevant	relevant	ADJ
cord-189434-nrkvbdu4	132	20	new	new	ADJ
cord-189434-nrkvbdu4	132	21	research	research	NOUN
cord-189434-nrkvbdu4	132	22	avenues	avenue	NOUN
cord-189434-nrkvbdu4	132	23	for	for	ADP
cord-189434-nrkvbdu4	132	24	the	the	DET
cord-189434-nrkvbdu4	132	25	progression	progression	NOUN
cord-189434-nrkvbdu4	132	26	of	of	ADP
cord-189434-nrkvbdu4	132	27	the	the	DET
cord-189434-nrkvbdu4	132	28	latter	latter	ADJ
cord-189434-nrkvbdu4	132	29	.	.	PUNCT
cord-189434-nrkvbdu4	133	1	it	it	PRON
cord-189434-nrkvbdu4	133	2	is	be	AUX
cord-189434-nrkvbdu4	133	3	thus	thus	ADV
cord-189434-nrkvbdu4	133	4	believed	believe	VERB
cord-189434-nrkvbdu4	133	5	that	that	SCONJ
cord-189434-nrkvbdu4	133	6	future	future	ADJ
cord-189434-nrkvbdu4	133	7	exploitation	exploitation	NOUN
cord-189434-nrkvbdu4	133	8	of	of	ADP
cord-189434-nrkvbdu4	133	9	the	the	DET
cord-189434-nrkvbdu4	133	10	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	133	11	and/or	and/or	CCONJ
cord-189434-nrkvbdu4	133	12	lagrangian	lagrangian	ADJ
cord-189434-nrkvbdu4	133	13	structure	structure	NOUN
cord-189434-nrkvbdu4	133	14	of	of	ADP
cord-189434-nrkvbdu4	133	15	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	133	16	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	133	17	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	133	18	modelling	modelling	NOUN
cord-189434-nrkvbdu4	133	19	leads	lead	VERB
cord-189434-nrkvbdu4	133	20	to	to	ADP
cord-189434-nrkvbdu4	133	21	unprecedented	unprecedented	ADJ
cord-189434-nrkvbdu4	133	22	insights	insight	NOUN
cord-189434-nrkvbdu4	133	23	and	and	CCONJ
cord-189434-nrkvbdu4	133	24	options	option	NOUN
cord-189434-nrkvbdu4	133	25	for	for	ADP
cord-189434-nrkvbdu4	133	26	novel	novel	NOUN
cord-189434-nrkvbdu4	133	27	formulations	formulation	NOUN
cord-189434-nrkvbdu4	133	28	.	.	PUNCT
cord-189434-nrkvbdu4	134	1	multiscale	multiscale	ADJ
cord-189434-nrkvbdu4	134	2	mobility	mobility	NOUN
cord-189434-nrkvbdu4	134	3	networks	network	NOUN
cord-189434-nrkvbdu4	134	4	and	and	CCONJ
cord-189434-nrkvbdu4	134	5	the	the	DET
cord-189434-nrkvbdu4	134	6	spatial	spatial	ADJ
cord-189434-nrkvbdu4	134	7	spreading	spreading	NOUN
cord-189434-nrkvbdu4	134	8	of	of	ADP
cord-189434-nrkvbdu4	134	9	infectious	infectious	ADJ
cord-189434-nrkvbdu4	134	10	diseases	disease	NOUN
cord-189434-nrkvbdu4	134	11	modeling	model	VERB
cord-189434-nrkvbdu4	134	12	the	the	DET
cord-189434-nrkvbdu4	134	13	spatial	spatial	ADJ
cord-189434-nrkvbdu4	134	14	spread	spread	NOUN
cord-189434-nrkvbdu4	134	15	of	of	ADP
cord-189434-nrkvbdu4	134	16	infectious	infectious	ADJ
cord-189434-nrkvbdu4	134	17	disease	disease	NOUN
cord-189434-nrkvbdu4	134	18	:	:	PUNCT
cord-189434-nrkvbdu4	134	19	the	the	DET
cord-189434-nrkvbdu4	134	20	global	global	ADJ
cord-189434-nrkvbdu4	134	21	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	134	22	and	and	CCONJ
cord-189434-nrkvbdu4	134	23	mobility	mobility	NOUN
cord-189434-nrkvbdu4	134	24	computational	computational	ADJ
cord-189434-nrkvbdu4	134	25	model	model	NOUN
cord-189434-nrkvbdu4	134	26	conservation	conservation	NOUN
cord-189434-nrkvbdu4	134	27	properties	property	NOUN
cord-189434-nrkvbdu4	134	28	of	of	ADP
cord-189434-nrkvbdu4	134	29	a	a	DET
cord-189434-nrkvbdu4	134	30	time	time	NOUN
cord-189434-nrkvbdu4	135	1	fe	fe	X
cord-189434-nrkvbdu4	135	2	method	method	NOUN
cord-189434-nrkvbdu4	135	3	.	.	PUNCT
cord-189434-nrkvbdu4	136	1	part	part	NOUN
cord-189434-nrkvbdu4	136	2	i	i	NOUN
cord-189434-nrkvbdu4	136	3	:	:	PUNCT
cord-189434-nrkvbdu4	136	4	timestepping	timesteppe	VERB
cord-189434-nrkvbdu4	136	5	schemes	scheme	NOUN
cord-189434-nrkvbdu4	136	6	for	for	ADP
cord-189434-nrkvbdu4	136	7	nbody	nbody	NOUN
cord-189434-nrkvbdu4	136	8	problems	problem	NOUN
cord-189434-nrkvbdu4	136	9	discovering	discover	VERB
cord-189434-nrkvbdu4	136	10	governing	govern	VERB
cord-189434-nrkvbdu4	136	11	equations	equation	NOUN
cord-189434-nrkvbdu4	136	12	from	from	ADP
cord-189434-nrkvbdu4	136	13	data	datum	NOUN
cord-189434-nrkvbdu4	136	14	by	by	ADP
cord-189434-nrkvbdu4	136	15	sparse	sparse	ADJ
cord-189434-nrkvbdu4	136	16	identification	identification	NOUN
cord-189434-nrkvbdu4	136	17	of	of	ADP
cord-189434-nrkvbdu4	136	18	nonlinear	nonlinear	ADJ
cord-189434-nrkvbdu4	136	19	dynamical	dynamical	ADJ
cord-189434-nrkvbdu4	136	20	systems	system	NOUN
cord-189434-nrkvbdu4	136	21	mathematical	mathematical	ADJ
cord-189434-nrkvbdu4	136	22	tools	tool	NOUN
cord-189434-nrkvbdu4	136	23	for	for	ADP
cord-189434-nrkvbdu4	136	24	understanding	understand	VERB
cord-189434-nrkvbdu4	136	25	infectious	infectious	ADJ
cord-189434-nrkvbdu4	136	26	disease	disease	NOUN
cord-189434-nrkvbdu4	136	27	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	136	28	generalized	generalize	VERB
cord-189434-nrkvbdu4	136	29	hamiltonian	hamiltonian	ADJ
cord-189434-nrkvbdu4	136	30	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	136	31	.	.	PUNCT
cord-189434-nrkvbdu4	137	1	canad	canad	NOUN
cord-189434-nrkvbdu4	137	2	modelling	model	VERB
cord-189434-nrkvbdu4	137	3	exit	exit	NOUN
cord-189434-nrkvbdu4	137	4	strategies	strategy	NOUN
cord-189434-nrkvbdu4	137	5	from	from	ADP
cord-189434-nrkvbdu4	137	6	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	137	7	lockdown	lockdown	VERB
cord-189434-nrkvbdu4	137	8	with	with	ADP
cord-189434-nrkvbdu4	137	9	a	a	DET
cord-189434-nrkvbdu4	137	10	focus	focus	NOUN
cord-189434-nrkvbdu4	137	11	on	on	ADP
cord-189434-nrkvbdu4	137	12	antibody	antibody	NOUN
cord-189434-nrkvbdu4	137	13	tests	test	NOUN
cord-189434-nrkvbdu4	137	14	the	the	DET
cord-189434-nrkvbdu4	137	15	mathematics	mathematic	NOUN
cord-189434-nrkvbdu4	137	16	of	of	ADP
cord-189434-nrkvbdu4	137	17	infectious	infectious	ADJ
cord-189434-nrkvbdu4	137	18	deseases	desease	NOUN
cord-189434-nrkvbdu4	137	19	geometrical	geometrical	ADJ
cord-189434-nrkvbdu4	137	20	methods	method	NOUN
cord-189434-nrkvbdu4	137	21	and	and	CCONJ
cord-189434-nrkvbdu4	137	22	numerical	numerical	ADJ
cord-189434-nrkvbdu4	137	23	computations	computation	NOUN
cord-189434-nrkvbdu4	137	24	for	for	ADP
cord-189434-nrkvbdu4	137	25	prey	prey	NOUN
cord-189434-nrkvbdu4	137	26	-	-	PUNCT
cord-189434-nrkvbdu4	137	27	predator	predator	NOUN
cord-189434-nrkvbdu4	137	28	systems	system	NOUN
cord-189434-nrkvbdu4	137	29	continuum	continuum	PROPN
cord-189434-nrkvbdu4	137	30	-	-	PUNCT
cord-189434-nrkvbdu4	137	31	kinematics	kinematic	NOUN
cord-189434-nrkvbdu4	137	32	-	-	PUNCT
cord-189434-nrkvbdu4	137	33	inspired	inspire	VERB
cord-189434-nrkvbdu4	137	34	peridynamics	peridynamic	NOUN
cord-189434-nrkvbdu4	137	35	.	.	PUNCT
cord-189434-nrkvbdu4	138	1	mechanical	mechanical	ADJ
cord-189434-nrkvbdu4	138	2	problems	problem	NOUN
cord-189434-nrkvbdu4	138	3	modeling	model	VERB
cord-189434-nrkvbdu4	138	4	infectious	infectious	ADJ
cord-189434-nrkvbdu4	138	5	diseases	disease	NOUN
cord-189434-nrkvbdu4	138	6	using	use	VERB
cord-189434-nrkvbdu4	138	7	integro	integro	NOUN
cord-189434-nrkvbdu4	138	8	-	-	PUNCT
cord-189434-nrkvbdu4	138	9	differential	differential	ADJ
cord-189434-nrkvbdu4	138	10	equations	equation	NOUN
cord-189434-nrkvbdu4	138	11	:	:	PUNCT
cord-189434-nrkvbdu4	138	12	optimal	optimal	ADJ
cord-189434-nrkvbdu4	138	13	control	control	NOUN
cord-189434-nrkvbdu4	138	14	strategies	strategy	NOUN
cord-189434-nrkvbdu4	138	15	for	for	ADP
cord-189434-nrkvbdu4	138	16	policy	policy	NOUN
cord-189434-nrkvbdu4	138	17	decisions	decision	NOUN
cord-189434-nrkvbdu4	138	18	and	and	CCONJ
cord-189434-nrkvbdu4	138	19	applications	application	NOUN
cord-189434-nrkvbdu4	138	20	on	on	ADP
cord-189434-nrkvbdu4	138	21	meso	meso	NOUN
cord-189434-nrkvbdu4	138	22	-	-	PUNCT
cord-189434-nrkvbdu4	138	23	scale	scale	NOUN
cord-189434-nrkvbdu4	138	24	modeling	modeling	NOUN
cord-189434-nrkvbdu4	138	25	og	og	ADP
cord-189434-nrkvbdu4	138	26	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	138	27	spatio	spatio	ADJ
cord-189434-nrkvbdu4	138	28	-	-	PUNCT
cord-189434-nrkvbdu4	138	29	temporal	temporal	ADJ
cord-189434-nrkvbdu4	138	30	outbreak	outbreak	NOUN
cord-189434-nrkvbdu4	138	31	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	138	32	in	in	ADP
cord-189434-nrkvbdu4	138	33	germany	germany	PROPN
cord-189434-nrkvbdu4	138	34	analysis	analysis	NOUN
cord-189434-nrkvbdu4	138	35	of	of	ADP
cord-189434-nrkvbdu4	138	36	experimental	experimental	ADJ
cord-189434-nrkvbdu4	138	37	epidemics	epidemic	NOUN
cord-189434-nrkvbdu4	138	38	of	of	ADP
cord-189434-nrkvbdu4	138	39	the	the	DET
cord-189434-nrkvbdu4	138	40	virus	virus	NOUN
cord-189434-nrkvbdu4	138	41	disease	disease	PROPN
cord-189434-nrkvbdu4	138	42	mouse	mouse	NOUN
cord-189434-nrkvbdu4	138	43	ectromelia	ectromelia	PROPN
cord-189434-nrkvbdu4	138	44	modeling	model	VERB
cord-189434-nrkvbdu4	138	45	influenza	influenza	NOUN
cord-189434-nrkvbdu4	138	46	-	-	PUNCT
cord-189434-nrkvbdu4	138	47	like	like	ADJ
cord-189434-nrkvbdu4	138	48	illnesses	illness	NOUN
cord-189434-nrkvbdu4	138	49	through	through	ADP
cord-189434-nrkvbdu4	138	50	composite	composite	ADJ
cord-189434-nrkvbdu4	138	51	compartmental	compartmental	NOUN
cord-189434-nrkvbdu4	138	52	models	model	NOUN
cord-189434-nrkvbdu4	138	53	variational	variational	PROPN
cord-189434-nrkvbdu4	138	54	time	time	NOUN
cord-189434-nrkvbdu4	138	55	integrators	integrator	VERB
cord-189434-nrkvbdu4	138	56	outbreak	outbreak	NOUN
cord-189434-nrkvbdu4	138	57	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	138	58	of	of	ADP
cord-189434-nrkvbdu4	138	59	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	138	60	in	in	ADP
cord-189434-nrkvbdu4	138	61	europe	europe	PROPN
cord-189434-nrkvbdu4	138	62	and	and	CCONJ
cord-189434-nrkvbdu4	138	63	the	the	DET
cord-189434-nrkvbdu4	138	64	effect	effect	NOUN
cord-189434-nrkvbdu4	138	65	of	of	ADP
cord-189434-nrkvbdu4	138	66	travel	travel	NOUN
cord-189434-nrkvbdu4	138	67	restrictions	restriction	NOUN
cord-189434-nrkvbdu4	138	68	outbreak	outbreak	NOUN
cord-189434-nrkvbdu4	138	69	of	of	ADP
cord-189434-nrkvbdu4	138	70	pneunonia	pneunonia	NOUN
cord-189434-nrkvbdu4	138	71	of	of	ADP
cord-189434-nrkvbdu4	138	72	unknown	unknown	ADJ
cord-189434-nrkvbdu4	138	73	etiology	etiology	NOUN
cord-189434-nrkvbdu4	138	74	in	in	ADP
cord-189434-nrkvbdu4	138	75	wuhan	wuhan	PROPN
cord-189434-nrkvbdu4	138	76	,	,	PUNCT
cord-189434-nrkvbdu4	138	77	china	china	PROPN
cord-189434-nrkvbdu4	138	78	:	:	PUNCT
cord-189434-nrkvbdu4	138	79	the	the	DET
cord-189434-nrkvbdu4	138	80	mystery	mystery	NOUN
cord-189434-nrkvbdu4	138	81	and	and	CCONJ
cord-189434-nrkvbdu4	138	82	the	the	DET
cord-189434-nrkvbdu4	138	83	miracle	miracle	NOUN
cord-189434-nrkvbdu4	138	84	symmetries	symmetry	NOUN
cord-189434-nrkvbdu4	138	85	and	and	CCONJ
cord-189434-nrkvbdu4	138	86	conservation	conservation	NOUN
cord-189434-nrkvbdu4	138	87	laws	law	NOUN
cord-189434-nrkvbdu4	138	88	for	for	ADP
cord-189434-nrkvbdu4	138	89	biodynamical	biodynamical	ADJ
cord-189434-nrkvbdu4	138	90	systems	system	NOUN
cord-189434-nrkvbdu4	138	91	the	the	DET
cord-189434-nrkvbdu4	138	92	quasicontinuum	quasicontinuum	PROPN
cord-189434-nrkvbdu4	138	93	method	method	NOUN
cord-189434-nrkvbdu4	138	94	:	:	PUNCT
cord-189434-nrkvbdu4	138	95	overview	overview	NOUN
cord-189434-nrkvbdu4	138	96	,	,	PUNCT
cord-189434-nrkvbdu4	138	97	applications	application	NOUN
cord-189434-nrkvbdu4	138	98	and	and	CCONJ
cord-189434-nrkvbdu4	138	99	current	current	ADJ
cord-189434-nrkvbdu4	138	100	directions	direction	NOUN
cord-189434-nrkvbdu4	138	101	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	138	102	processes	process	NOUN
cord-189434-nrkvbdu4	138	103	in	in	ADP
cord-189434-nrkvbdu4	138	104	complex	complex	ADJ
cord-189434-nrkvbdu4	138	105	networks	network	NOUN
cord-189434-nrkvbdu4	138	106	outbreak	outbreak	VERB
cord-189434-nrkvbdu4	138	107	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	138	108	of	of	ADP
cord-189434-nrkvbdu4	138	109	covid-19	covid-19	PROPN
cord-189434-nrkvbdu4	138	110	in	in	ADP
cord-189434-nrkvbdu4	138	111	china	china	PROPN
cord-189434-nrkvbdu4	138	112	and	and	CCONJ
cord-189434-nrkvbdu4	138	113	the	the	DET
cord-189434-nrkvbdu4	138	114	united	united	PROPN
cord-189434-nrkvbdu4	138	115	states	states	PROPN
cord-189434-nrkvbdu4	138	116	fuzzystochastic	fuzzystochastic	PROPN
cord-189434-nrkvbdu4	138	117	fembased	fembase	VERB
cord-189434-nrkvbdu4	138	118	homogenization	homogenization	NOUN
cord-189434-nrkvbdu4	138	119	framework	framework	NOUN
cord-189434-nrkvbdu4	138	120	for	for	ADP
cord-189434-nrkvbdu4	138	121	materials	material	NOUN
cord-189434-nrkvbdu4	138	122	with	with	ADP
cord-189434-nrkvbdu4	138	123	polymorphic	polymorphic	ADJ
cord-189434-nrkvbdu4	138	124	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	138	125	in	in	ADP
cord-189434-nrkvbdu4	138	126	the	the	DET
cord-189434-nrkvbdu4	138	127	microstructure	microstructure	NOUN
cord-189434-nrkvbdu4	138	128	on	on	ADP
cord-189434-nrkvbdu4	138	129	spectral	spectral	ADJ
cord-189434-nrkvbdu4	138	130	fuzzystochastic	fuzzystochastic	ADJ
cord-189434-nrkvbdu4	138	131	fem	fem	NOUN
cord-189434-nrkvbdu4	138	132	for	for	ADP
cord-189434-nrkvbdu4	138	133	problems	problem	NOUN
cord-189434-nrkvbdu4	138	134	involving	involve	VERB
cord-189434-nrkvbdu4	138	135	polymorphic	polymorphic	ADJ
cord-189434-nrkvbdu4	138	136	geometrical	geometrical	ADJ
cord-189434-nrkvbdu4	138	137	uncertainties	uncertainty	NOUN
cord-189434-nrkvbdu4	138	138	comparing	compare	VERB
cord-189434-nrkvbdu4	138	139	agent	agent	NOUN
cord-189434-nrkvbdu4	138	140	-	-	PUNCT
cord-189434-nrkvbdu4	138	141	based	base	VERB
cord-189434-nrkvbdu4	138	142	and	and	CCONJ
cord-189434-nrkvbdu4	138	143	differential	differential	ADJ
cord-189434-nrkvbdu4	138	144	equation	equation	NOUN
cord-189434-nrkvbdu4	138	145	models	model	NOUN
cord-189434-nrkvbdu4	138	146	aspects	aspect	NOUN
cord-189434-nrkvbdu4	138	147	of	of	ADP
cord-189434-nrkvbdu4	138	148	computational	computational	ADJ
cord-189434-nrkvbdu4	138	149	homogenization	homogenization	NOUN
cord-189434-nrkvbdu4	138	150	at	at	ADP
cord-189434-nrkvbdu4	138	151	finite	finite	ADJ
cord-189434-nrkvbdu4	138	152	deformations	deformation	NOUN
cord-189434-nrkvbdu4	138	153	:	:	PUNCT
cord-189434-nrkvbdu4	138	154	a	a	DET
cord-189434-nrkvbdu4	138	155	unifying	unifying	ADJ
cord-189434-nrkvbdu4	138	156	review	review	NOUN
cord-189434-nrkvbdu4	138	157	from	from	ADP
cord-189434-nrkvbdu4	138	158	reuss	reuss	NOUN
cord-189434-nrkvbdu4	138	159	'	'	PUNCT
cord-189434-nrkvbdu4	138	160	to	to	ADP
cord-189434-nrkvbdu4	138	161	voigt	voigt	PROPN
cord-189434-nrkvbdu4	138	162	's	's	PART
cord-189434-nrkvbdu4	138	163	bound	bind	VERB
cord-189434-nrkvbdu4	138	164	on	on	ADP
cord-189434-nrkvbdu4	138	165	the	the	DET
cord-189434-nrkvbdu4	138	166	use	use	NOUN
cord-189434-nrkvbdu4	138	167	of	of	ADP
cord-189434-nrkvbdu4	138	168	multiple	multiple	ADJ
cord-189434-nrkvbdu4	138	169	compartment	compartment	NOUN
cord-189434-nrkvbdu4	138	170	epidemiological	epidemiological	ADJ
cord-189434-nrkvbdu4	138	171	models	model	NOUN
cord-189434-nrkvbdu4	138	172	to	to	PART
cord-189434-nrkvbdu4	138	173	describe	describe	VERB
cord-189434-nrkvbdu4	138	174	the	the	DET
cord-189434-nrkvbdu4	138	175	dynamics	dynamic	NOUN
cord-189434-nrkvbdu4	138	176	of	of	ADP
cord-189434-nrkvbdu4	138	177	influenza	influenza	NOUN
cord-189434-nrkvbdu4	138	178	in	in	ADP
cord-189434-nrkvbdu4	138	179	europe	europe	PROPN
cord-189434-nrkvbdu4	138	180	global	global	ADJ
cord-189434-nrkvbdu4	138	181	stability	stability	PROPN
cord-189434-nrkvbdu4	138	182	and	and	CCONJ
cord-189434-nrkvbdu4	138	183	uniform	uniform	ADJ
cord-189434-nrkvbdu4	138	184	persistence	persistence	NOUN
cord-189434-nrkvbdu4	138	185	of	of	ADP
cord-189434-nrkvbdu4	138	186	the	the	DET
cord-189434-nrkvbdu4	138	187	reaction	reaction	NOUN
cord-189434-nrkvbdu4	138	188	-	-	PUNCT
cord-189434-nrkvbdu4	138	189	convectiondiffusion	convectiondiffusion	NOUN
cord-189434-nrkvbdu4	138	190	cholera	cholera	NOUN
cord-189434-nrkvbdu4	138	191	epidemic	epidemic	NOUN
cord-189434-nrkvbdu4	138	192	model	model	NOUN
