id	sid	tid	token	lemma	pos
ejpam-6379	1	1	european	european	PROPN
ejpam-6379	1	2	journal	journal	PROPN
ejpam-6379	1	3	of	of	ADP
ejpam-6379	1	4	pure	pure	ADJ
ejpam-6379	1	5	and	and	CCONJ
ejpam-6379	1	6	applied	applied	ADJ
ejpam-6379	1	7	mathematics	mathematic	NOUN
ejpam-6379	1	8	2025	2025	NUM
ejpam-6379	1	9	,	,	PUNCT
ejpam-6379	1	10	vol	vol	NOUN
ejpam-6379	1	11	.	.	PROPN
ejpam-6379	1	12	18	18	NUM
ejpam-6379	1	13	,	,	PUNCT
ejpam-6379	1	14	issue	issue	NOUN
ejpam-6379	1	15	3	3	NUM
ejpam-6379	1	16	,	,	PUNCT
ejpam-6379	1	17	article	article	NOUN
ejpam-6379	1	18	number	number	NOUN
ejpam-6379	1	19	6379	6379	NUM
ejpam-6379	1	20	issn	issn	PROPN
ejpam-6379	1	21	1307	1307	NUM
ejpam-6379	1	22	-	-	SYM
ejpam-6379	1	23	5543	5543	NUM
ejpam-6379	1	24	–	–	PUNCT
ejpam-6379	1	25	ejpam.com	ejpam.com	X
ejpam-6379	1	26	published	publish	VERB
ejpam-6379	1	27	by	by	ADP
ejpam-6379	1	28	new	new	PROPN
ejpam-6379	1	29	york	york	PROPN
ejpam-6379	1	30	business	business	PROPN
ejpam-6379	1	31	global	global	ADJ
ejpam-6379	1	32	stochastic	stochastic	NOUN
ejpam-6379	1	33	modelling	modelling	NOUN
ejpam-6379	1	34	of	of	ADP
ejpam-6379	1	35	seasonal	seasonal	ADJ
ejpam-6379	1	36	influenza	influenza	NOUN
ejpam-6379	1	37	dynamics	dynamic	NOUN
ejpam-6379	1	38	:	:	PUNCT
ejpam-6379	1	39	integrating	integrate	VERB
ejpam-6379	1	40	random	random	ADJ
ejpam-6379	1	41	perturbations	perturbation	NOUN
ejpam-6379	1	42	and	and	CCONJ
ejpam-6379	1	43	behavioural	behavioural	ADJ
ejpam-6379	1	44	factors	factor	NOUN
ejpam-6379	1	45	rania	rania	PROPN
ejpam-6379	1	46	saadeh1	saadeh1	PROPN
ejpam-6379	1	47	,	,	PUNCT
ejpam-6379	1	48	alshaikh	alshaikh	PROPN
ejpam-6379	1	49	a.	a.	PROPN
ejpam-6379	1	50	shokeralla2	shokeralla2	PROPN
ejpam-6379	1	51	,	,	PUNCT
ejpam-6379	1	52	naseam	naseam	PROPN
ejpam-6379	1	53	al	al	PROPN
ejpam-6379	1	54	-	-	PUNCT
ejpam-6379	1	55	kuleab3	kuleab3	PROPN
ejpam-6379	1	56	,	,	PUNCT
ejpam-6379	1	57	walid	walid	PROPN
ejpam-6379	1	58	s.	s.	PROPN
ejpam-6379	1	59	hamad4	hamad4	PROPN
ejpam-6379	1	60	,	,	PUNCT
ejpam-6379	1	61	mawada	mawada	PROPN
ejpam-6379	1	62	ali5	ali5	PROPN
ejpam-6379	1	63	,	,	PUNCT
ejpam-6379	1	64	mohamed	mohamed	PROPN
ejpam-6379	1	65	a.	a.	PROPN
ejpam-6379	1	66	abdoon6	abdoon6	PROPN
ejpam-6379	1	67	,	,	PUNCT
ejpam-6379	1	68	fathelrhman	fathelrhman	NOUN
ejpam-6379	1	69	el	el	PROPN
ejpam-6379	1	70	guma2,∗	guma2,∗	PROPN
ejpam-6379	1	71	1	1	NUM
ejpam-6379	1	72	department	department	NOUN
ejpam-6379	1	73	of	of	ADP
ejpam-6379	1	74	mathematics	mathematic	NOUN
ejpam-6379	1	75	,	,	PUNCT
ejpam-6379	1	76	faculty	faculty	NOUN
ejpam-6379	1	77	of	of	ADP
ejpam-6379	1	78	science	science	NOUN
ejpam-6379	1	79	,	,	PUNCT
ejpam-6379	1	80	zarqa	zarqa	PROPN
ejpam-6379	1	81	university	university	PROPN
ejpam-6379	1	82	,	,	PUNCT
ejpam-6379	1	83	zarqa	zarqa	PROPN
ejpam-6379	1	84	13110	13110	NUM
ejpam-6379	1	85	,	,	PUNCT
ejpam-6379	1	86	jordan	jordan	PROPN
ejpam-6379	1	87	2	2	NUM
ejpam-6379	1	88	department	department	NOUN
ejpam-6379	1	89	of	of	ADP
ejpam-6379	1	90	mathematics	mathematic	NOUN
ejpam-6379	1	91	,	,	PUNCT
ejpam-6379	1	92	faculty	faculty	NOUN
ejpam-6379	1	93	of	of	ADP
ejpam-6379	1	94	science	science	NOUN
ejpam-6379	1	95	,	,	PUNCT
ejpam-6379	1	96	al	al	PROPN
ejpam-6379	1	97	-	-	PUNCT
ejpam-6379	1	98	baha	baha	PROPN
ejpam-6379	1	99	university	university	PROPN
ejpam-6379	1	100	,	,	PUNCT
ejpam-6379	1	101	al	al	PROPN
ejpam-6379	1	102	-	-	PUNCT
ejpam-6379	1	103	aqiq	aqiq	PROPN
ejpam-6379	1	104	65931	65931	NUM
ejpam-6379	1	105	,	,	PUNCT
ejpam-6379	1	106	saudi	saudi	PROPN
ejpam-6379	1	107	arabia	arabia	PROPN
ejpam-6379	1	108	3	3	NUM
ejpam-6379	1	109	department	department	NOUN
ejpam-6379	1	110	of	of	ADP
ejpam-6379	1	111	mathematics	mathematic	NOUN
ejpam-6379	1	112	and	and	CCONJ
ejpam-6379	1	113	statistics	statistic	NOUN
ejpam-6379	1	114	,	,	PUNCT
ejpam-6379	1	115	college	college	NOUN
ejpam-6379	1	116	of	of	ADP
ejpam-6379	1	117	science	science	NOUN
ejpam-6379	1	118	,	,	PUNCT
ejpam-6379	1	119	king	king	NOUN
ejpam-6379	1	120	faisal	faisal	PROPN
ejpam-6379	1	121	university	university	PROPN
ejpam-6379	1	122	,	,	PUNCT
ejpam-6379	1	123	al	al	PROPN
ejpam-6379	1	124	-	-	PUNCT
ejpam-6379	1	125	ahsa	ahsa	NOUN
ejpam-6379	1	126	31982	31982	NUM
ejpam-6379	1	127	,	,	PUNCT
ejpam-6379	1	128	saudi	saudi	PROPN
ejpam-6379	1	129	arabia	arabia	PROPN
ejpam-6379	1	130	.	.	PUNCT
ejpam-6379	2	1	4	4	NUM
ejpam-6379	2	2	department	department	NOUN
ejpam-6379	2	3	of	of	ADP
ejpam-6379	2	4	preparatory	preparatory	ADJ
ejpam-6379	2	5	year	year	NOUN
ejpam-6379	2	6	,	,	PUNCT
ejpam-6379	2	7	al	al	PROPN
ejpam-6379	2	8	-	-	PUNCT
ejpam-6379	2	9	ghad	ghad	PROPN
ejpam-6379	2	10	college	college	NOUN
ejpam-6379	2	11	for	for	ADP
ejpam-6379	2	12	applied	apply	VERB
ejpam-6379	2	13	medical	medical	ADJ
ejpam-6379	2	14	sciences	science	NOUN
ejpam-6379	2	15	,	,	PUNCT
ejpam-6379	2	16	najran	najran	NOUN
ejpam-6379	2	17	,	,	PUNCT
ejpam-6379	2	18	saudi	saudi	PROPN
ejpam-6379	2	19	arabia	arabia	PROPN
ejpam-6379	2	20	5	5	NUM
ejpam-6379	2	21	department	department	NOUN
ejpam-6379	2	22	of	of	ADP
ejpam-6379	2	23	mathematical	mathematical	ADJ
ejpam-6379	2	24	modelling	modelling	NOUN
ejpam-6379	2	25	,	,	PUNCT
ejpam-6379	2	26	faculty	faculty	NOUN
ejpam-6379	2	27	of	of	ADP
ejpam-6379	2	28	mathematical	mathematical	ADJ
ejpam-6379	2	29	sciences	sciences	PROPN
ejpam-6379	2	30	and	and	CCONJ
ejpam-6379	2	31	statistics	statistic	NOUN
ejpam-6379	2	32	,	,	PUNCT
ejpam-6379	2	33	al	al	PROPN
ejpam-6379	2	34	-	-	PUNCT
ejpam-6379	2	35	neelain	neelain	PROPN
ejpam-6379	2	36	university	university	NOUN
ejpam-6379	2	37	,	,	PUNCT
ejpam-6379	2	38	khartoum	khartoum	PROPN
ejpam-6379	2	39	,	,	PUNCT
ejpam-6379	2	40	sudan	sudan	PROPN
ejpam-6379	2	41	6	6	NUM
ejpam-6379	2	42	department	department	NOUN
ejpam-6379	2	43	of	of	ADP
ejpam-6379	2	44	basic	basic	ADJ
ejpam-6379	2	45	sciences	science	NOUN
ejpam-6379	2	46	,	,	PUNCT
ejpam-6379	2	47	common	common	ADJ
ejpam-6379	2	48	first	first	ADJ
ejpam-6379	2	49	year	year	NOUN
ejpam-6379	2	50	deanship	deanship	NOUN
ejpam-6379	2	51	,	,	PUNCT
ejpam-6379	2	52	king	king	PROPN
ejpam-6379	2	53	saud	saud	PROPN
ejpam-6379	2	54	university	university	PROPN
ejpam-6379	2	55	,	,	PUNCT
ejpam-6379	2	56	p.o	p.o	PROPN
ejpam-6379	2	57	.	.	PROPN
ejpam-6379	2	58	box	box	PROPN
ejpam-6379	2	59	1142	1142	NUM
ejpam-6379	2	60	,	,	PUNCT
ejpam-6379	2	61	riyadh	riyadh	PROPN
ejpam-6379	2	62	12373	12373	NUM
ejpam-6379	2	63	,	,	PUNCT
ejpam-6379	2	64	saudi	saudi	PROPN
ejpam-6379	2	65	arabia	arabia	PROPN
ejpam-6379	2	66	abstract	abstract	NOUN
ejpam-6379	2	67	.	.	PUNCT
ejpam-6379	3	1	the	the	DET
ejpam-6379	3	2	study	study	NOUN
ejpam-6379	3	3	proposes	propose	VERB
ejpam-6379	3	4	a	a	DET
ejpam-6379	3	5	stochastic	stochastic	ADJ
ejpam-6379	3	6	model	model	NOUN
ejpam-6379	3	7	to	to	PART
ejpam-6379	3	8	investigate	investigate	VERB
ejpam-6379	3	9	the	the	DET
ejpam-6379	3	10	seasonality	seasonality	NOUN
ejpam-6379	3	11	of	of	ADP
ejpam-6379	3	12	influenza	influenza	NOUN
ejpam-6379	3	13	in	in	ADP
ejpam-6379	3	14	saudi	saudi	PROPN
ejpam-6379	3	15	arabia	arabia	PROPN
ejpam-6379	3	16	.	.	PUNCT
ejpam-6379	4	1	in	in	ADP
ejpam-6379	4	2	contrast	contrast	NOUN
ejpam-6379	4	3	to	to	ADP
ejpam-6379	4	4	the	the	DET
ejpam-6379	4	5	classical	classical	ADJ
ejpam-6379	4	6	deterministic	deterministic	ADJ
ejpam-6379	4	7	model	model	NOUN
ejpam-6379	4	8	,	,	PUNCT
ejpam-6379	4	9	we	we	PRON
ejpam-6379	4	10	incorporate	incorporate	VERB
ejpam-6379	4	11	internal	internal	ADJ
ejpam-6379	4	12	stochastic	stochastic	ADJ
ejpam-6379	4	13	ambient	ambient	NOUN
ejpam-6379	4	14	noise	noise	NOUN
ejpam-6379	4	15	through	through	ADP
ejpam-6379	4	16	white	white	ADJ
ejpam-6379	4	17	noise	noise	NOUN
ejpam-6379	4	18	perturbations	perturbation	NOUN
ejpam-6379	4	19	in	in	ADP
ejpam-6379	4	20	order	order	NOUN
ejpam-6379	4	21	to	to	PART
ejpam-6379	4	22	present	present	VERB
ejpam-6379	4	23	a	a	DET
ejpam-6379	4	24	more	more	ADV
ejpam-6379	4	25	realistic	realistic	ADJ
ejpam-6379	4	26	portrayal	portrayal	NOUN
ejpam-6379	4	27	of	of	ADP
ejpam-6379	4	28	the	the	DET
ejpam-6379	4	29	oscillation	oscillation	NOUN
ejpam-6379	4	30	of	of	ADP
ejpam-6379	4	31	sick	sick	ADJ
ejpam-6379	4	32	individuals	individual	NOUN
ejpam-6379	4	33	.	.	PUNCT
ejpam-6379	5	1	the	the	DET
ejpam-6379	5	2	model	model	NOUN
ejpam-6379	5	3	correctly	correctly	ADV
ejpam-6379	5	4	reproduces	reproduce	VERB
ejpam-6379	5	5	the	the	DET
ejpam-6379	5	6	empirical	empirical	ADJ
ejpam-6379	5	7	seasonal	seasonal	ADJ
ejpam-6379	5	8	peak	peak	NOUN
ejpam-6379	5	9	in	in	ADP
ejpam-6379	5	10	the	the	DET
ejpam-6379	5	11	number	number	NOUN
ejpam-6379	5	12	of	of	ADP
ejpam-6379	5	13	influenza	influenza	NOUN
ejpam-6379	5	14	cases	case	NOUN
ejpam-6379	5	15	,	,	PUNCT
ejpam-6379	5	16	which	which	PRON
ejpam-6379	5	17	is	be	AUX
ejpam-6379	5	18	most	most	ADV
ejpam-6379	5	19	strongly	strongly	ADV
ejpam-6379	5	20	expressed	express	VERB
ejpam-6379	5	21	in	in	ADP
ejpam-6379	5	22	epidemiologic	epidemiologic	ADJ
ejpam-6379	5	23	week	week	NOUN
ejpam-6379	5	24	30	30	NUM
ejpam-6379	5	25	,	,	PUNCT
ejpam-6379	5	26	also	also	ADV
ejpam-6379	5	27	showing	show	VERB
ejpam-6379	5	28	the	the	DET
ejpam-6379	5	29	seasonal	seasonal	ADJ
ejpam-6379	5	30	outbreak	outbreak	NOUN
ejpam-6379	5	31	periodicity	periodicity	NOUN
ejpam-6379	5	32	.	.	PUNCT
ejpam-6379	6	1	sensitivity	sensitivity	NOUN
ejpam-6379	6	2	analysis	analysis	NOUN
ejpam-6379	6	3	demonstrates	demonstrate	VERB
ejpam-6379	6	4	that	that	SCONJ
ejpam-6379	6	5	the	the	DET
ejpam-6379	6	6	magnitudes	magnitude	NOUN
ejpam-6379	6	7	of	of	ADP
ejpam-6379	6	8	stochastic	stochastic	ADJ
ejpam-6379	6	9	fluctuations	fluctuation	NOUN
ejpam-6379	6	10	play	play	VERB
ejpam-6379	6	11	a	a	DET
ejpam-6379	6	12	crucial	crucial	ADJ
ejpam-6379	6	13	role	role	NOUN
ejpam-6379	6	14	in	in	ADP
ejpam-6379	6	15	the	the	DET
ejpam-6379	6	16	prediction	prediction	NOUN
ejpam-6379	6	17	uncertainty	uncertainty	NOUN
ejpam-6379	6	18	and	and	CCONJ
ejpam-6379	6	19	the	the	DET
ejpam-6379	6	20	outbreak	outbreak	NOUN
ejpam-6379	6	21	variability	variability	NOUN
ejpam-6379	6	22	.	.	PUNCT
ejpam-6379	7	1	transmission	transmission	NOUN
ejpam-6379	7	2	rates	rate	NOUN
ejpam-6379	7	3	and	and	CCONJ
ejpam-6379	7	4	the	the	DET
ejpam-6379	7	5	recovery	recovery	NOUN
ejpam-6379	7	6	parameter	parameter	NOUN
ejpam-6379	7	7	are	be	AUX
ejpam-6379	7	8	the	the	DET
ejpam-6379	7	9	main	main	ADJ
ejpam-6379	7	10	determinants	determinant	NOUN
ejpam-6379	7	11	of	of	ADP
ejpam-6379	7	12	the	the	DET
ejpam-6379	7	13	magnitude	magnitude	NOUN
ejpam-6379	7	14	,	,	PUNCT
ejpam-6379	7	15	timing	timing	NOUN
ejpam-6379	7	16	,	,	PUNCT
ejpam-6379	7	17	and	and	CCONJ
ejpam-6379	7	18	impact	impact	NOUN
ejpam-6379	7	19	on	on	ADP
ejpam-6379	7	20	hospitalization	hospitalization	NOUN
ejpam-6379	7	21	of	of	ADP
ejpam-6379	7	22	the	the	DET
ejpam-6379	7	23	epidemic	epidemic	NOUN
ejpam-6379	7	24	wave	wave	NOUN
ejpam-6379	7	25	.	.	PUNCT
ejpam-6379	8	1	a	a	DET
ejpam-6379	8	2	greater	great	ADJ
ejpam-6379	8	3	transmission	transmission	NOUN
ejpam-6379	8	4	rate	rate	NOUN
ejpam-6379	8	5	is	be	AUX
ejpam-6379	8	6	consistently	consistently	ADV
ejpam-6379	8	7	associated	associate	VERB
ejpam-6379	8	8	with	with	ADP
ejpam-6379	8	9	more	more	ADV
ejpam-6379	8	10	intense	intense	ADJ
ejpam-6379	8	11	and	and	CCONJ
ejpam-6379	8	12	prolonged	prolonged	ADJ
ejpam-6379	8	13	breakouts	breakout	NOUN
ejpam-6379	8	14	,	,	PUNCT
ejpam-6379	8	15	whereas	whereas	SCONJ
ejpam-6379	8	16	a	a	DET
ejpam-6379	8	17	larger	large	ADJ
ejpam-6379	8	18	transmission	transmission	NOUN
ejpam-6379	8	19	rate	rate	NOUN
ejpam-6379	8	20	facilitates	facilitate	VERB
ejpam-6379	8	21	a	a	DET
ejpam-6379	8	22	more	more	ADV
ejpam-6379	8	23	rapid	rapid	ADJ
ejpam-6379	8	24	ascent	ascent	NOUN
ejpam-6379	8	25	and	and	CCONJ
ejpam-6379	8	26	descent	descent	NOUN
ejpam-6379	8	27	of	of	ADP
ejpam-6379	8	28	the	the	DET
ejpam-6379	8	29	peak	peak	NOUN
ejpam-6379	8	30	.	.	PUNCT
ejpam-6379	9	1	these	these	DET
ejpam-6379	9	2	findings	finding	NOUN
ejpam-6379	9	3	underscore	underscore	VERB
ejpam-6379	9	4	the	the	DET
ejpam-6379	9	5	significance	significance	NOUN
ejpam-6379	9	6	of	of	ADP
ejpam-6379	9	7	stochastic	stochastic	ADJ
ejpam-6379	9	8	factors	factor	NOUN
ejpam-6379	9	9	and	and	CCONJ
ejpam-6379	9	10	pinpoint	pinpoint	VERB
ejpam-6379	9	11	essential	essential	ADJ
ejpam-6379	9	12	parameters	parameter	NOUN
ejpam-6379	9	13	for	for	ADP
ejpam-6379	9	14	enhancing	enhance	VERB
ejpam-6379	9	15	public	public	ADJ
ejpam-6379	9	16	health	health	NOUN
ejpam-6379	9	17	interventions	intervention	NOUN
ejpam-6379	9	18	and	and	CCONJ
ejpam-6379	9	19	resource	resource	NOUN
ejpam-6379	9	20	allocation	allocation	NOUN
ejpam-6379	9	21	strategies	strategy	NOUN
ejpam-6379	9	22	.	.	PUNCT
ejpam-6379	10	1	our	our	PRON
ejpam-6379	10	2	results	result	NOUN
ejpam-6379	10	3	provide	provide	VERB
ejpam-6379	10	4	practical	practical	ADJ
ejpam-6379	10	5	recommendations	recommendation	NOUN
ejpam-6379	10	6	for	for	ADP
ejpam-6379	10	7	enhancing	enhance	VERB
ejpam-6379	10	8	influenza	influenza	ADJ
ejpam-6379	10	9	preparation	preparation	NOUN
ejpam-6379	10	10	using	use	VERB
ejpam-6379	10	11	data	data	NOUN
ejpam-6379	10	12	-	-	PUNCT
ejpam-6379	10	13	driven	drive	VERB
ejpam-6379	10	14	stochastic	stochastic	ADJ
ejpam-6379	10	15	modelling	modelling	NOUN
ejpam-6379	10	16	.	.	PUNCT
ejpam-6379	11	1	2020	2020	NUM
ejpam-6379	11	2	mathematics	mathematic	NOUN
ejpam-6379	11	3	subject	subject	NOUN
ejpam-6379	11	4	classifications	classification	NOUN
ejpam-6379	11	5	:	:	PUNCT
ejpam-6379	11	6	60h10	60h10	NUM
ejpam-6379	11	7	,	,	PUNCT
ejpam-6379	11	8	92d30	92d30	NUM
ejpam-6379	11	9	,	,	PUNCT
ejpam-6379	11	10	34f05	34f05	NUM
ejpam-6379	11	11	key	key	ADJ
ejpam-6379	11	12	words	word	NOUN
ejpam-6379	11	13	and	and	CCONJ
ejpam-6379	11	14	phrases	phrase	NOUN
ejpam-6379	11	15	:	:	PUNCT
ejpam-6379	11	16	stochastic	stochastic	ADJ
ejpam-6379	11	17	modeling	modeling	NOUN
ejpam-6379	11	18	,	,	PUNCT
ejpam-6379	11	19	seasonal	seasonal	ADJ
ejpam-6379	11	20	influenza	influenza	NOUN
ejpam-6379	11	21	,	,	PUNCT
ejpam-6379	11	22	forecast	forecast	NOUN
ejpam-6379	11	23	uncertainty	uncertainty	NOUN
ejpam-6379	11	24	,	,	PUNCT
ejpam-6379	11	25	transmission	transmission	NOUN
ejpam-6379	11	26	dynamics	dynamic	NOUN
ejpam-6379	11	27	,	,	PUNCT
ejpam-6379	11	28	white	white	ADJ
ejpam-6379	11	29	noise	noise	NOUN
ejpam-6379	11	30	perturbations	perturbation	NOUN
ejpam-6379	11	31	,	,	PUNCT
ejpam-6379	11	32	parameter	parameter	NOUN
ejpam-6379	11	33	sensitivity	sensitivity	NOUN
ejpam-6379	11	34	∗corresponding	∗corresponde	VERB
ejpam-6379	11	35	author	author	NOUN
ejpam-6379	11	36	.	.	PUNCT
ejpam-6379	12	1	doi	doi	NOUN
ejpam-6379	12	2	:	:	PUNCT
ejpam-6379	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6379	https://doi.org/10.29020/nybg.ejpam.v18i3.6379	NOUN
ejpam-6379	12	4	email	email	NOUN
ejpam-6379	12	5	addresses	address	NOUN
ejpam-6379	12	6	:	:	PUNCT
ejpam-6379	12	7	rsaadeh@zu.edu.jo	rsaadeh@zu.edu.jo	ADJ
ejpam-6379	12	8	(	(	PUNCT
ejpam-6379	12	9	rania	rania	PROPN
ejpam-6379	12	10	saadeh	saadeh	PROPN
ejpam-6379	12	11	)	)	PUNCT
ejpam-6379	12	12	,	,	PUNCT
ejpam-6379	12	13	ashokralla@bu.edu.sa	ashokralla@bu.edu.sa	PROPN
ejpam-6379	12	14	(	(	PUNCT
ejpam-6379	12	15	alshaikh	alshaikh	PROPN
ejpam-6379	12	16	a.	a.	PROPN
ejpam-6379	12	17	shokeralla	shokeralla	PROPN
ejpam-6379	12	18	)	)	PUNCT
ejpam-6379	12	19	,	,	PUNCT
ejpam-6379	12	20	nkuleab@ksu.edu.sa	nkuleab@ksu.edu.sa	NOUN
ejpam-6379	12	21	(	(	PUNCT
ejpam-6379	12	22	naseam	naseam	PROPN
ejpam-6379	12	23	al	al	PROPN
ejpam-6379	12	24	-	-	PUNCT
ejpam-6379	12	25	kuleab	kuleab	PROPN
ejpam-6379	12	26	)	)	PUNCT
ejpam-6379	12	27	,	,	PUNCT
ejpam-6379	12	28	shamad@gc.edu.sa	shamad@gc.edu.sa	PROPN
ejpam-6379	12	29	(	(	PUNCT
ejpam-6379	12	30	walid	walid	PROPN
ejpam-6379	12	31	s.	s.	PROPN
ejpam-6379	12	32	hamad	hamad	PROPN
ejpam-6379	12	33	)	)	PUNCT
ejpam-6379	12	34	,	,	PUNCT
ejpam-6379	12	35	mawadaali23@neelain.edu.sd	mawadaali23@neelain.edu.sd	PROPN
ejpam-6379	12	36	(	(	PUNCT
ejpam-6379	12	37	mawada	mawada	PROPN
ejpam-6379	12	38	ali	ali	PROPN
ejpam-6379	12	39	)	)	PUNCT
ejpam-6379	12	40	,	,	PUNCT
ejpam-6379	12	41	mabdoon.c@ksu.edu.sa	mabdoon.c@ksu.edu.sa	PROPN
ejpam-6379	12	42	(	(	PUNCT
ejpam-6379	12	43	mohamed	mohamed	PROPN
ejpam-6379	12	44	a.	a.	PROPN
ejpam-6379	12	45	abdoon	abdoon	PROPN
ejpam-6379	12	46	)	)	PUNCT
ejpam-6379	12	47	,	,	PUNCT
ejpam-6379	12	48	fgumu@bau.edu.sa	fgumu@bau.edu.sa	PROPN
ejpam-6379	12	49	(	(	PUNCT
ejpam-6379	12	50	fathelrhman	fathelrhman	NOUN
ejpam-6379	12	51	el	el	PROPN
ejpam-6379	12	52	guma	guma	PROPN
ejpam-6379	12	53	)	)	PUNCT
ejpam-6379	12	54	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6379	12	55	1	1	NUM
ejpam-6379	12	56	copyright	copyright	NOUN
ejpam-6379	12	57	:	:	PUNCT
ejpam-6379	13	1	©	©	PROPN
ejpam-6379	13	2	2025	2025	NUM
ejpam-6379	13	3	the	the	DET
ejpam-6379	13	4	author(s	author(s	NOUN
ejpam-6379	13	5	)	)	PUNCT
ejpam-6379	13	6	.	.	PUNCT
ejpam-6379	14	1	(	(	PUNCT
ejpam-6379	14	2	cc	cc	NOUN
ejpam-6379	14	3	by	by	ADP
ejpam-6379	14	4	-	-	PUNCT
ejpam-6379	14	5	nc	nc	PROPN
ejpam-6379	14	6	4.0	4.0	NUM
ejpam-6379	14	7	)	)	PUNCT
ejpam-6379	14	8	r.	r.	PROPN
ejpam-6379	14	9	saadeh	saadeh	PROPN
ejpam-6379	14	10	et	et	PROPN
ejpam-6379	14	11	al	al	PROPN
ejpam-6379	14	12	.	.	PUNCT
ejpam-6379	14	13	/	/	SYM
ejpam-6379	14	14	eur	eur	PROPN
ejpam-6379	14	15	.	.	PUNCT
ejpam-6379	15	1	j.	j.	PROPN
ejpam-6379	15	2	pure	pure	PROPN
ejpam-6379	15	3	appl	appl	PROPN
ejpam-6379	15	4	.	.	PROPN
ejpam-6379	15	5	math	math	PROPN
ejpam-6379	15	6	,	,	PUNCT
ejpam-6379	15	7	18	18	NUM
ejpam-6379	15	8	(	(	PUNCT
ejpam-6379	15	9	3	3	NUM
ejpam-6379	15	10	)	)	PUNCT
ejpam-6379	15	11	(	(	PUNCT
ejpam-6379	15	12	2025	2025	NUM
ejpam-6379	15	13	)	)	PUNCT
ejpam-6379	15	14	,	,	PUNCT
ejpam-6379	15	15	6379	6379	NUM
ejpam-6379	15	16	2	2	NUM
ejpam-6379	15	17	of	of	ADP
ejpam-6379	15	18	34	34	NUM
ejpam-6379	15	19	1	1	NUM
ejpam-6379	15	20	.	.	PUNCT
ejpam-6379	16	1	introduction	introduction	NOUN
ejpam-6379	16	2	seasonal	seasonal	ADJ
ejpam-6379	16	3	flu	flu	NOUN
ejpam-6379	16	4	is	be	AUX
ejpam-6379	16	5	an	an	DET
ejpam-6379	16	6	infectious	infectious	ADJ
ejpam-6379	16	7	viral	viral	ADJ
ejpam-6379	16	8	respiratory	respiratory	ADJ
ejpam-6379	16	9	disease	disease	NOUN
ejpam-6379	16	10	that	that	PRON
ejpam-6379	16	11	spreads	spread	VERB
ejpam-6379	16	12	during	during	ADP
ejpam-6379	16	13	the	the	DET
ejpam-6379	16	14	autumn	autumn	NOUN
ejpam-6379	16	15	and	and	CCONJ
ejpam-6379	16	16	winter	winter	NOUN
ejpam-6379	16	17	seasons	season	NOUN
ejpam-6379	16	18	[	[	X
ejpam-6379	16	19	1	1	NUM
ejpam-6379	16	20	]	]	PUNCT
ejpam-6379	16	21	.	.	PUNCT
ejpam-6379	17	1	the	the	DET
ejpam-6379	17	2	illness	illness	NOUN
ejpam-6379	17	3	comes	come	VERB
ejpam-6379	17	4	with	with	ADP
ejpam-6379	17	5	typical	typical	ADJ
ejpam-6379	17	6	symptoms	symptom	NOUN
ejpam-6379	17	7	such	such	ADJ
ejpam-6379	17	8	as	as	ADP
ejpam-6379	17	9	fever	fever	NOUN
ejpam-6379	17	10	,	,	PUNCT
ejpam-6379	17	11	headache	headache	NOUN
ejpam-6379	17	12	,	,	PUNCT
ejpam-6379	17	13	chills	chill	NOUN
ejpam-6379	17	14	,	,	PUNCT
ejpam-6379	17	15	cough	cough	NOUN
ejpam-6379	17	16	,	,	PUNCT
ejpam-6379	17	17	nasal	nasal	NOUN
ejpam-6379	17	18	congestion	congestion	NOUN
ejpam-6379	17	19	,	,	PUNCT
ejpam-6379	17	20	body	body	NOUN
ejpam-6379	17	21	aches	ache	NOUN
ejpam-6379	17	22	and	and	CCONJ
ejpam-6379	17	23	pains	pain	NOUN
ejpam-6379	17	24	.	.	PUNCT
ejpam-6379	18	1	it	it	PRON
ejpam-6379	18	2	has	have	AUX
ejpam-6379	18	3	been	be	AUX
ejpam-6379	18	4	demonstrated	demonstrate	VERB
ejpam-6379	18	5	that	that	SCONJ
ejpam-6379	18	6	in	in	ADP
ejpam-6379	18	7	severe	severe	ADJ
ejpam-6379	18	8	cases	case	NOUN
ejpam-6379	18	9	of	of	ADP
ejpam-6379	18	10	seasonal	seasonal	ADJ
ejpam-6379	18	11	influenza	influenza	NOUN
ejpam-6379	18	12	,	,	PUNCT
ejpam-6379	18	13	mortality	mortality	NOUN
ejpam-6379	18	14	can	can	AUX
ejpam-6379	18	15	occur	occur	VERB
ejpam-6379	18	16	[	[	X
ejpam-6379	18	17	1	1	NUM
ejpam-6379	18	18	]	]	PUNCT
ejpam-6379	18	19	.	.	PUNCT
ejpam-6379	19	1	persons	person	NOUN
ejpam-6379	19	2	with	with	ADP
ejpam-6379	19	3	multiple	multiple	ADJ
ejpam-6379	19	4	chronic	chronic	ADJ
ejpam-6379	19	5	medical	medical	ADJ
ejpam-6379	19	6	conditions	condition	NOUN
ejpam-6379	19	7	are	be	AUX
ejpam-6379	19	8	more	more	ADV
ejpam-6379	19	9	likely	likely	ADJ
ejpam-6379	19	10	to	to	PART
ejpam-6379	19	11	become	become	VERB
ejpam-6379	19	12	infected	infect	VERB
ejpam-6379	19	13	with	with	ADP
ejpam-6379	19	14	seasonal	seasonal	ADJ
ejpam-6379	19	15	influenza	influenza	NOUN
ejpam-6379	19	16	[	[	X
ejpam-6379	19	17	2	2	NUM
ejpam-6379	19	18	]	]	PUNCT
ejpam-6379	19	19	and	and	CCONJ
ejpam-6379	19	20	experience	experience	VERB
ejpam-6379	19	21	an	an	DET
ejpam-6379	19	22	increase	increase	NOUN
ejpam-6379	19	23	in	in	ADP
ejpam-6379	19	24	its	its	PRON
ejpam-6379	19	25	severity	severity	NOUN
ejpam-6379	19	26	with	with	ADP
ejpam-6379	19	27	higher	high	ADJ
ejpam-6379	19	28	rates	rate	NOUN
ejpam-6379	19	29	of	of	ADP
ejpam-6379	19	30	emergency	emergency	NOUN
ejpam-6379	19	31	room	room	NOUN
ejpam-6379	19	32	visits	visit	NOUN
ejpam-6379	19	33	and	and	CCONJ
ejpam-6379	19	34	hospitalizations	hospitalization	NOUN
ejpam-6379	19	35	[	[	X
ejpam-6379	19	36	3	3	NUM
ejpam-6379	19	37	]	]	PUNCT
ejpam-6379	19	38	.	.	PUNCT
ejpam-6379	20	1	seasonal	seasonal	ADJ
ejpam-6379	20	2	influenza	influenza	NOUN
ejpam-6379	20	3	is	be	AUX
ejpam-6379	20	4	responsible	responsible	ADJ
ejpam-6379	20	5	for	for	ADP
ejpam-6379	20	6	killing	kill	VERB
ejpam-6379	20	7	between	between	ADP
ejpam-6379	20	8	290,000	290,000	NUM
ejpam-6379	20	9	and	and	CCONJ
ejpam-6379	20	10	650,000	650,000	NUM
ejpam-6379	20	11	people	people	NOUN
ejpam-6379	20	12	annually	annually	ADV
ejpam-6379	20	13	,	,	PUNCT
ejpam-6379	20	14	according	accord	VERB
ejpam-6379	20	15	to	to	ADP
ejpam-6379	20	16	the	the	DET
ejpam-6379	20	17	who	who	PRON
ejpam-6379	20	18	in	in	ADP
ejpam-6379	20	19	2022	2022	NUM
ejpam-6379	20	20	[	[	X
ejpam-6379	20	21	4	4	NUM
ejpam-6379	20	22	]	]	PUNCT
ejpam-6379	20	23	.	.	PUNCT
ejpam-6379	21	1	in	in	ADP
ejpam-6379	21	2	2020	2020	NUM
ejpam-6379	21	3	,	,	PUNCT
ejpam-6379	21	4	world	world	NOUN
ejpam-6379	21	5	health	health	NOUN
ejpam-6379	21	6	ranking	ranking	NOUN
ejpam-6379	21	7	estimated	estimate	VERB
ejpam-6379	21	8	that	that	SCONJ
ejpam-6379	21	9	influenza	influenza	NOUN
ejpam-6379	21	10	and	and	CCONJ
ejpam-6379	21	11	pneumonia	pneumonia	NOUN
ejpam-6379	21	12	,	,	PUNCT
ejpam-6379	21	13	together	together	ADV
ejpam-6379	21	14	,	,	PUNCT
ejpam-6379	21	15	caused	cause	VERB
ejpam-6379	21	16	the	the	DET
ejpam-6379	21	17	death	death	NOUN
ejpam-6379	21	18	of	of	ADP
ejpam-6379	21	19	4.58	4.58	NUM
ejpam-6379	21	20	%	%	NOUN
ejpam-6379	21	21	of	of	ADP
ejpam-6379	21	22	the	the	DET
ejpam-6379	21	23	population	population	NOUN
ejpam-6379	21	24	of	of	ADP
ejpam-6379	21	25	saudi	saudi	PROPN
ejpam-6379	21	26	arabia	arabia	PROPN
ejpam-6379	21	27	and	and	CCONJ
ejpam-6379	21	28	its	its	PRON
ejpam-6379	21	29	seasonal	seasonal	ADJ
ejpam-6379	21	30	influenza	influenza	NOUN
ejpam-6379	21	31	death	death	NOUN
ejpam-6379	21	32	rate	rate	NOUN
ejpam-6379	21	33	was	be	AUX
ejpam-6379	21	34	30.9	30.9	NUM
ejpam-6379	21	35	per	per	ADP
ejpam-6379	21	36	100	100	NUM
ejpam-6379	21	37	000	000	NUM
ejpam-6379	21	38	,	,	PUNCT
ejpam-6379	21	39	so	so	SCONJ
ejpam-6379	21	40	that	that	SCONJ
ejpam-6379	21	41	it	it	PRON
ejpam-6379	21	42	is	be	AUX
ejpam-6379	21	43	82nd	82nd	ADV
ejpam-6379	21	44	most	most	ADV
ejpam-6379	21	45	-	-	PUNCT
ejpam-6379	21	46	frequented	frequent	VERB
ejpam-6379	21	47	country	country	NOUN
ejpam-6379	21	48	in	in	ADP
ejpam-6379	21	49	the	the	DET
ejpam-6379	21	50	world	world	NOUN
ejpam-6379	22	1	[	[	X
ejpam-6379	22	2	5	5	NUM
ejpam-6379	22	3	]	]	PUNCT
ejpam-6379	22	4	.	.	PUNCT
ejpam-6379	23	1	a	a	DET
ejpam-6379	23	2	systematic	systematic	ADJ
ejpam-6379	23	3	review	review	NOUN
ejpam-6379	23	4	and	and	CCONJ
ejpam-6379	23	5	meta	meta	ADJ
ejpam-6379	23	6	-	-	PUNCT
ejpam-6379	23	7	analysis	analysis	NOUN
ejpam-6379	23	8	of	of	ADP
ejpam-6379	23	9	18	18	NUM
ejpam-6379	23	10	studies	study	NOUN
ejpam-6379	23	11	in	in	ADP
ejpam-6379	23	12	hajj	hajj	PROPN
ejpam-6379	23	13	pilgrims	pilgrims	PROPN
ejpam-6379	23	14	reporting	report	VERB
ejpam-6379	23	15	on	on	ADP
ejpam-6379	23	16	62,431	62,431	NUM
ejpam-6379	23	17	individuals	individual	NOUN
ejpam-6379	23	18	estimated	estimate	VERB
ejpam-6379	23	19	a	a	DET
ejpam-6379	23	20	prevalence	prevalence	NOUN
ejpam-6379	23	21	of	of	ADP
ejpam-6379	23	22	5.9	5.9	NUM
ejpam-6379	23	23	%	%	NOUN
ejpam-6379	23	24	for	for	ADP
ejpam-6379	23	25	influenza	influenza	NOUN
ejpam-6379	23	26	a	a	PRON
ejpam-6379	23	27	and	and	CCONJ
ejpam-6379	23	28	3.6	3.6	NUM
ejpam-6379	23	29	%	%	NOUN
ejpam-6379	23	30	for	for	ADP
ejpam-6379	23	31	influenza	influenza	NOUN
ejpam-6379	23	32	b	b	SYM
ejpam-6379	24	1	[	[	X
ejpam-6379	24	2	6	6	NUM
ejpam-6379	24	3	]	]	PUNCT
ejpam-6379	24	4	among	among	ADP
ejpam-6379	24	5	currently	currently	ADV
ejpam-6379	24	6	approved	approve	VERB
ejpam-6379	24	7	viral	viral	ADJ
ejpam-6379	24	8	vaccines	vaccine	NOUN
ejpam-6379	24	9	,	,	PUNCT
ejpam-6379	24	10	vaccine	vaccine	NOUN
ejpam-6379	24	11	for	for	ADP
ejpam-6379	24	12	the	the	DET
ejpam-6379	24	13	influenza	influenza	NOUN
ejpam-6379	24	14	virus	virus	NOUN
ejpam-6379	24	15	is	be	AUX
ejpam-6379	24	16	distinctive	distinctive	ADJ
ejpam-6379	24	17	.	.	PUNCT
ejpam-6379	25	1	vaccines	vaccine	NOUN
ejpam-6379	25	2	that	that	PRON
ejpam-6379	25	3	target	target	VERB
ejpam-6379	25	4	influenza	influenza	NOUN
ejpam-6379	25	5	disease	disease	NOUN
ejpam-6379	25	6	have	have	VERB
ejpam-6379	25	7	to	to	PART
ejpam-6379	25	8	be	be	AUX
ejpam-6379	25	9	reformulated	reformulate	VERB
ejpam-6379	25	10	annually	annually	ADV
ejpam-6379	25	11	to	to	PART
ejpam-6379	25	12	provide	provide	VERB
ejpam-6379	25	13	matching	matching	NOUN
ejpam-6379	25	14	between	between	ADP
ejpam-6379	25	15	the	the	DET
ejpam-6379	25	16	vaccine	vaccine	NOUN
ejpam-6379	25	17	strain	strain	VERB
ejpam-6379	25	18	and	and	CCONJ
ejpam-6379	25	19	the	the	DET
ejpam-6379	25	20	wild	wild	ADJ
ejpam-6379	25	21	-	-	PUNCT
ejpam-6379	25	22	type	type	NOUN
ejpam-6379	25	23	viruses	virus	NOUN
ejpam-6379	25	24	that	that	PRON
ejpam-6379	25	25	will	will	AUX
ejpam-6379	25	26	be	be	AUX
ejpam-6379	25	27	present	present	ADJ
ejpam-6379	25	28	in	in	ADP
ejpam-6379	25	29	a	a	DET
ejpam-6379	25	30	season	season	NOUN
ejpam-6379	25	31	and	and	CCONJ
ejpam-6379	25	32	this	this	PRON
ejpam-6379	25	33	is	be	AUX
ejpam-6379	25	34	owing	owe	VERB
ejpam-6379	25	35	to	to	ADP
ejpam-6379	25	36	the	the	DET
ejpam-6379	25	37	influenza	influenza	NOUN
ejpam-6379	25	38	virus	virus	NOUN
ejpam-6379	25	39	’s	’s	PART
ejpam-6379	25	40	ongoing	ongoing	ADJ
ejpam-6379	25	41	antigenic	antigenic	ADJ
ejpam-6379	25	42	drift	drift	NOUN
ejpam-6379	25	43	of	of	ADP
ejpam-6379	25	44	its	its	PRON
ejpam-6379	25	45	ha	ha	INTJ
ejpam-6379	25	46	and	and	CCONJ
ejpam-6379	25	47	na	na	ADP
ejpam-6379	25	48	surface	surface	NOUN
ejpam-6379	25	49	glycoproteins	glycoprotein	NOUN
ejpam-6379	25	50	.	.	PUNCT
ejpam-6379	26	1	licensed	license	VERB
ejpam-6379	26	2	inactivated	inactivated	ADJ
ejpam-6379	26	3	influenza	influenza	NOUN
ejpam-6379	26	4	vaccines	vaccine	NOUN
ejpam-6379	26	5	(	(	PUNCT
ejpam-6379	26	6	iiv	iiv	NOUN
ejpam-6379	26	7	)	)	PUNCT
ejpam-6379	26	8	have	have	AUX
ejpam-6379	26	9	been	be	AUX
ejpam-6379	26	10	available	available	ADJ
ejpam-6379	26	11	in	in	ADP
ejpam-6379	26	12	the	the	DET
ejpam-6379	26	13	united	united	PROPN
ejpam-6379	26	14	states	states	PROPN
ejpam-6379	26	15	(	(	PUNCT
ejpam-6379	26	16	us	us	PROPN
ejpam-6379	26	17	)	)	PUNCT
ejpam-6379	26	18	since	since	SCONJ
ejpam-6379	26	19	1945[7	1945[7	NUM
ejpam-6379	26	20	]	]	PUNCT
ejpam-6379	26	21	.	.	PUNCT
ejpam-6379	27	1	a	a	DET
ejpam-6379	27	2	live	live	ADJ
ejpam-6379	27	3	attenuated	attenuate	VERB
ejpam-6379	27	4	influenza	influenza	ADJ
ejpam-6379	27	5	vaccine	vaccine	NOUN
ejpam-6379	27	6	has	have	AUX
ejpam-6379	27	7	been	be	AUX
ejpam-6379	27	8	available	available	ADJ
ejpam-6379	27	9	since	since	SCONJ
ejpam-6379	27	10	it	it	PRON
ejpam-6379	27	11	was	be	AUX
ejpam-6379	27	12	approved	approve	VERB
ejpam-6379	27	13	in	in	ADP
ejpam-6379	27	14	2003	2003	NUM
ejpam-6379	28	1	[	[	X
ejpam-6379	28	2	8	8	NUM
ejpam-6379	28	3	]	]	PUNCT
ejpam-6379	28	4	.	.	PUNCT
ejpam-6379	29	1	the	the	DET
ejpam-6379	29	2	objective	objective	NOUN
ejpam-6379	29	3	of	of	ADP
ejpam-6379	29	4	the	the	PRON
ejpam-6379	29	5	who	who	PRON
ejpam-6379	29	6	global	global	ADJ
ejpam-6379	29	7	vaccine	vaccine	NOUN
ejpam-6379	29	8	action	action	NOUN
ejpam-6379	29	9	plan	plan	NOUN
ejpam-6379	29	10	(	(	PUNCT
ejpam-6379	29	11	gvap	gvap	NOUN
ejpam-6379	29	12	)	)	PUNCT
ejpam-6379	29	13	is	be	AUX
ejpam-6379	29	14	to	to	PART
ejpam-6379	29	15	reduce	reduce	VERB
ejpam-6379	29	16	transmission	transmission	NOUN
ejpam-6379	29	17	of	of	ADP
ejpam-6379	29	18	this	this	DET
ejpam-6379	29	19	global	global	ADJ
ejpam-6379	29	20	epidemic	epidemic	NOUN
ejpam-6379	29	21	by	by	ADP
ejpam-6379	29	22	increasing	increase	VERB
ejpam-6379	29	23	the	the	DET
ejpam-6379	29	24	seasonal	seasonal	ADJ
ejpam-6379	29	25	influenza	influenza	ADJ
ejpam-6379	29	26	vaccine	vaccine	NOUN
ejpam-6379	29	27	coverage	coverage	NOUN
ejpam-6379	29	28	rate	rate	NOUN
ejpam-6379	30	1	[	[	X
ejpam-6379	30	2	9	9	NUM
ejpam-6379	30	3	]	]	PUNCT
ejpam-6379	30	4	.	.	PUNCT
ejpam-6379	31	1	annual	annual	ADJ
ejpam-6379	31	2	vaccination	vaccination	NOUN
ejpam-6379	31	3	against	against	ADP
ejpam-6379	31	4	influenza	influenza	NOUN
ejpam-6379	31	5	is	be	AUX
ejpam-6379	31	6	the	the	DET
ejpam-6379	31	7	most	most	ADV
ejpam-6379	31	8	effective	effective	ADJ
ejpam-6379	31	9	measure	measure	NOUN
ejpam-6379	31	10	to	to	PART
ejpam-6379	31	11	prevent	prevent	VERB
ejpam-6379	31	12	infections	infection	NOUN
ejpam-6379	31	13	and	and	CCONJ
ejpam-6379	31	14	to	to	PART
ejpam-6379	31	15	reduce	reduce	VERB
ejpam-6379	31	16	the	the	DET
ejpam-6379	31	17	adverse	adverse	ADJ
ejpam-6379	31	18	events	event	NOUN
ejpam-6379	31	19	associated	associate	VERB
ejpam-6379	31	20	with	with	ADP
ejpam-6379	31	21	them	they	PRON
ejpam-6379	31	22	,	,	PUNCT
ejpam-6379	31	23	such	such	ADJ
ejpam-6379	31	24	as	as	ADP
ejpam-6379	31	25	visit	visit	NOUN
ejpam-6379	31	26	to	to	ADP
ejpam-6379	31	27	the	the	DET
ejpam-6379	31	28	doctor	doctor	NOUN
ejpam-6379	31	29	,	,	PUNCT
ejpam-6379	31	30	hospitalization	hospitalization	NOUN
ejpam-6379	31	31	,	,	PUNCT
ejpam-6379	31	32	and	and	CCONJ
ejpam-6379	31	33	deaths	death	NOUN
ejpam-6379	31	34	[	[	X
ejpam-6379	31	35	10	10	NUM
ejpam-6379	31	36	]	]	PUNCT
ejpam-6379	31	37	.	.	PUNCT
ejpam-6379	32	1	there	there	PRON
ejpam-6379	32	2	is	be	VERB
ejpam-6379	32	3	variation	variation	NOUN
ejpam-6379	32	4	in	in	ADP
ejpam-6379	32	5	ve	ve	PROPN
ejpam-6379	32	6	from	from	ADP
ejpam-6379	32	7	year	year	NOUN
ejpam-6379	32	8	to	to	ADP
ejpam-6379	32	9	year	year	NOUN
ejpam-6379	32	10	depending	depend	VERB
ejpam-6379	32	11	on	on	ADP
ejpam-6379	32	12	the	the	DET
ejpam-6379	32	13	degree	degree	NOUN
ejpam-6379	32	14	of	of	ADP
ejpam-6379	32	15	match	match	NOUN
ejpam-6379	32	16	between	between	ADP
ejpam-6379	32	17	the	the	DET
ejpam-6379	32	18	vaccine	vaccine	NOUN
ejpam-6379	32	19	viruses	virus	NOUN
ejpam-6379	32	20	and	and	CCONJ
ejpam-6379	32	21	those	those	PRON
ejpam-6379	32	22	in	in	ADP
ejpam-6379	32	23	circulation	circulation	NOUN
ejpam-6379	32	24	.	.	PUNCT
ejpam-6379	33	1	accordingly	accordingly	ADV
ejpam-6379	33	2	,	,	PUNCT
ejpam-6379	33	3	vaccine	vaccine	NOUN
ejpam-6379	33	4	effectiveness	effectiveness	NOUN
ejpam-6379	33	5	(	(	PUNCT
ejpam-6379	33	6	ve	ve	NOUN
ejpam-6379	33	7	)	)	PUNCT
ejpam-6379	33	8	could	could	AUX
ejpam-6379	33	9	be	be	AUX
ejpam-6379	33	10	weakened	weaken	VERB
ejpam-6379	33	11	by	by	ADP
ejpam-6379	33	12	lack	lack	NOUN
ejpam-6379	33	13	of	of	ADP
ejpam-6379	33	14	compatible	compatible	ADJ
ejpam-6379	33	15	with	with	ADP
ejpam-6379	33	16	the	the	DET
ejpam-6379	33	17	strains	strain	NOUN
ejpam-6379	33	18	of	of	ADP
ejpam-6379	33	19	influenza	influenza	NOUN
ejpam-6379	33	20	which	which	PRON
ejpam-6379	33	21	are	be	AUX
ejpam-6379	33	22	presently	presently	ADV
ejpam-6379	33	23	spreading	spread	VERB
ejpam-6379	33	24	and	and	CCONJ
ejpam-6379	33	25	,	,	PUNCT
ejpam-6379	33	26	hence	hence	ADV
ejpam-6379	33	27	,	,	PUNCT
ejpam-6379	33	28	et	et	NOUN
ejpam-6379	33	29	of	of	ADP
ejpam-6379	33	30	the	the	DET
ejpam-6379	33	31	influenza	influenza	NOUN
ejpam-6379	33	32	-	-	PUNCT
ejpam-6379	33	33	related	relate	VERB
ejpam-6379	33	34	outcomes	outcome	NOUN
ejpam-6379	33	35	increases	increase	VERB
ejpam-6379	33	36	[	[	X
ejpam-6379	33	37	11–14	11–14	NUM
ejpam-6379	33	38	]	]	PUNCT
ejpam-6379	33	39	.	.	PUNCT
ejpam-6379	34	1	however	however	SCONJ
ejpam-6379	34	2	studies	study	NOUN
ejpam-6379	34	3	suggest	suggest	VERB
ejpam-6379	34	4	that	that	SCONJ
ejpam-6379	34	5	the	the	DET
ejpam-6379	34	6	uptake	uptake	NOUN
ejpam-6379	34	7	of	of	ADP
ejpam-6379	34	8	seasonal	seasonal	ADJ
ejpam-6379	34	9	influenza	influenza	ADJ
ejpam-6379	34	10	vaccine	vaccine	NOUN
ejpam-6379	34	11	in	in	ADP
ejpam-6379	34	12	saudi	saudi	PROPN
ejpam-6379	34	13	arabia	arabia	PROPN
ejpam-6379	34	14	is	be	AUX
ejpam-6379	34	15	low	low	ADJ
ejpam-6379	34	16	.	.	PUNCT
ejpam-6379	35	1	the	the	DET
ejpam-6379	35	2	references	reference	NOUN
ejpam-6379	35	3	included	include	VERB
ejpam-6379	35	4	six	six	NUM
ejpam-6379	35	5	saudi	saudi	ADJ
ejpam-6379	35	6	citizens	citizen	NOUN
ejpam-6379	35	7	’	’	PART
ejpam-6379	35	8	studies	study	NOUN
ejpam-6379	35	9	published	publish	VERB
ejpam-6379	35	10	from	from	ADP
ejpam-6379	35	11	october	october	PROPN
ejpam-6379	35	12	19	19	NUM
ejpam-6379	35	13	,	,	PUNCT
ejpam-6379	35	14	2017	2017	NUM
ejpam-6379	35	15	,	,	PUNCT
ejpam-6379	35	16	to	to	ADP
ejpam-6379	35	17	october	october	PROPN
ejpam-6379	35	18	18	18	NUM
ejpam-6379	35	19	,	,	PUNCT
ejpam-6379	35	20	2022	2022	NUM
ejpam-6379	35	21	.	.	PUNCT
ejpam-6379	36	1	seasonal	seasonal	ADJ
ejpam-6379	36	2	influenza	influenza	ADJ
ejpam-6379	36	3	vaccine	vaccine	NOUN
ejpam-6379	36	4	coverage	coverage	NOUN
ejpam-6379	36	5	was	be	AUX
ejpam-6379	36	6	12.7%-55.0	12.7%-55.0	NUM
ejpam-6379	36	7	%	%	NOUN
ejpam-6379	36	8	in	in	ADP
ejpam-6379	36	9	these	these	DET
ejpam-6379	36	10	studies	study	NOUN
ejpam-6379	36	11	[	[	X
ejpam-6379	36	12	15–20	15–20	NUM
ejpam-6379	36	13	]	]	PUNCT
ejpam-6379	36	14	.	.	PUNCT
ejpam-6379	37	1	taken	take	VERB
ejpam-6379	37	2	together	together	ADV
ejpam-6379	37	3	,	,	PUNCT
ejpam-6379	37	4	these	these	DET
ejpam-6379	37	5	studies	study	NOUN
ejpam-6379	37	6	exemplify	exemplify	VERB
ejpam-6379	37	7	that	that	SCONJ
ejpam-6379	37	8	seasonal	seasonal	ADJ
ejpam-6379	37	9	flu	flu	NOUN
ejpam-6379	37	10	vaccination	vaccination	NOUN
ejpam-6379	37	11	coverage	coverage	NOUN
ejpam-6379	37	12	is	be	AUX
ejpam-6379	37	13	below	below	ADP
ejpam-6379	37	14	that	that	PRON
ejpam-6379	37	15	recommended	recommend	VERB
ejpam-6379	37	16	by	by	ADP
ejpam-6379	37	17	vaccination	vaccination	NOUN
ejpam-6379	37	18	guidelines	guideline	NOUN
ejpam-6379	37	19	,	,	PUNCT
ejpam-6379	37	20	despite	despite	SCONJ
ejpam-6379	37	21	the	the	DET
ejpam-6379	37	22	different	different	ADJ
ejpam-6379	37	23	methods	method	NOUN
ejpam-6379	37	24	of	of	ADP
ejpam-6379	37	25	measuring	measure	VERB
ejpam-6379	37	26	vaccine	vaccine	NOUN
ejpam-6379	37	27	status	status	NOUN
ejpam-6379	37	28	.	.	PUNCT
ejpam-6379	38	1	as	as	ADP
ejpam-6379	38	2	such	such	ADJ
ejpam-6379	38	3	,	,	PUNCT
ejpam-6379	38	4	monitoring	monitor	VERB
ejpam-6379	38	5	the	the	DET
ejpam-6379	38	6	status	status	NOUN
ejpam-6379	38	7	of	of	ADP
ejpam-6379	38	8	seasonal	seasonal	ADJ
ejpam-6379	38	9	influenza	influenza	NOUN
ejpam-6379	38	10	vaccination	vaccination	NOUN
ejpam-6379	38	11	should	should	AUX
ejpam-6379	38	12	be	be	AUX
ejpam-6379	38	13	regularly	regularly	ADV
ejpam-6379	38	14	implemented	implement	VERB
ejpam-6379	38	15	among	among	ADP
ejpam-6379	38	16	the	the	DET
ejpam-6379	38	17	residents	resident	NOUN
ejpam-6379	38	18	of	of	ADP
ejpam-6379	38	19	the	the	DET
ejpam-6379	38	20	saudi	saudi	ADJ
ejpam-6379	38	21	population	population	NOUN
ejpam-6379	38	22	in	in	ADP
ejpam-6379	38	23	order	order	NOUN
ejpam-6379	38	24	to	to	PART
ejpam-6379	38	25	guide	guide	VERB
ejpam-6379	38	26	the	the	DET
ejpam-6379	38	27	efforts	effort	NOUN
ejpam-6379	38	28	of	of	ADP
ejpam-6379	38	29	boosting	boost	VERB
ejpam-6379	38	30	vaccination	vaccination	NOUN
ejpam-6379	38	31	coverage	coverage	NOUN
ejpam-6379	38	32	.	.	PUNCT
ejpam-6379	39	1	due	due	ADP
ejpam-6379	39	2	to	to	ADP
ejpam-6379	39	3	the	the	DET
ejpam-6379	39	4	increasing	increase	VERB
ejpam-6379	39	5	use	use	NOUN
ejpam-6379	39	6	of	of	ADP
ejpam-6379	39	7	fractional	fractional	ADJ
ejpam-6379	39	8	calculus	calculus	NOUN
ejpam-6379	39	9	in	in	ADP
ejpam-6379	39	10	modeling	model	VERB
ejpam-6379	39	11	diffusion	diffusion	NOUN
ejpam-6379	39	12	,	,	PUNCT
ejpam-6379	39	13	control	control	NOUN
ejpam-6379	39	14	processes	process	NOUN
ejpam-6379	39	15	,	,	PUNCT
ejpam-6379	39	16	and	and	CCONJ
ejpam-6379	39	17	viscoelasticity	viscoelasticity	NOUN
ejpam-6379	39	18	,	,	PUNCT
ejpam-6379	39	19	applied	apply	VERB
ejpam-6379	39	20	mathematics	mathematic	NOUN
ejpam-6379	39	21	has	have	AUX
ejpam-6379	39	22	gained	gain	VERB
ejpam-6379	39	23	notable	notable	ADJ
ejpam-6379	39	24	popularity	popularity	NOUN
ejpam-6379	39	25	over	over	ADP
ejpam-6379	39	26	the	the	DET
ejpam-6379	39	27	r.	r.	PROPN
ejpam-6379	39	28	saadeh	saadeh	PROPN
ejpam-6379	39	29	et	et	PROPN
ejpam-6379	39	30	al	al	PROPN
ejpam-6379	39	31	.	.	PUNCT
ejpam-6379	39	32	/	/	SYM
ejpam-6379	39	33	eur	eur	PROPN
ejpam-6379	39	34	.	.	PUNCT
ejpam-6379	40	1	j.	j.	PROPN
ejpam-6379	40	2	pure	pure	PROPN
ejpam-6379	40	3	appl	appl	PROPN
ejpam-6379	40	4	.	.	PROPN
ejpam-6379	40	5	math	math	PROPN
ejpam-6379	40	6	,	,	PUNCT
ejpam-6379	40	7	18	18	NUM
ejpam-6379	40	8	(	(	PUNCT
ejpam-6379	40	9	3	3	NUM
ejpam-6379	40	10	)	)	PUNCT
ejpam-6379	40	11	(	(	PUNCT
ejpam-6379	40	12	2025	2025	NUM
ejpam-6379	40	13	)	)	PUNCT
ejpam-6379	40	14	,	,	PUNCT
ejpam-6379	40	15	6379	6379	NUM
ejpam-6379	40	16	3	3	NUM
ejpam-6379	40	17	of	of	ADP
ejpam-6379	40	18	34	34	NUM
ejpam-6379	40	19	past	past	ADJ
ejpam-6379	40	20	few	few	ADJ
ejpam-6379	40	21	decades	decade	NOUN
ejpam-6379	40	22	,	,	PUNCT
ejpam-6379	40	23	particularly	particularly	ADV
ejpam-6379	40	24	in	in	ADP
ejpam-6379	40	25	physics	physics	NOUN
ejpam-6379	40	26	and	and	CCONJ
ejpam-6379	40	27	engineering	engineering	NOUN
ejpam-6379	40	28	research	research	NOUN
ejpam-6379	40	29	,	,	PUNCT
ejpam-6379	40	30	where	where	SCONJ
ejpam-6379	40	31	fractional	fractional	ADJ
ejpam-6379	40	32	differential	differential	ADJ
ejpam-6379	40	33	equations	equation	NOUN
ejpam-6379	40	34	are	be	AUX
ejpam-6379	40	35	widely	widely	ADV
ejpam-6379	40	36	employed	employ	VERB
ejpam-6379	40	37	[	[	X
ejpam-6379	40	38	21–25	21–25	NUM
ejpam-6379	40	39	]	]	PUNCT
ejpam-6379	40	40	.	.	PUNCT
ejpam-6379	41	1	this	this	DET
ejpam-6379	41	2	mathematical	mathematical	ADJ
ejpam-6379	41	3	discovery	discovery	NOUN
ejpam-6379	41	4	has	have	AUX
ejpam-6379	41	5	had	have	VERB
ejpam-6379	41	6	considerable	considerable	ADJ
ejpam-6379	41	7	impact	impact	NOUN
ejpam-6379	41	8	on	on	ADP
ejpam-6379	41	9	the	the	DET
ejpam-6379	41	10	practice	practice	NOUN
ejpam-6379	41	11	of	of	ADP
ejpam-6379	41	12	epidemiological	epidemiological	ADJ
ejpam-6379	41	13	modelling	modelling	NOUN
ejpam-6379	41	14	,	,	PUNCT
ejpam-6379	41	15	given	give	VERB
ejpam-6379	41	16	that	that	SCONJ
ejpam-6379	41	17	models	model	NOUN
ejpam-6379	41	18	play	play	VERB
ejpam-6379	41	19	a	a	DET
ejpam-6379	41	20	key	key	ADJ
ejpam-6379	41	21	role	role	NOUN
ejpam-6379	41	22	in	in	ADP
ejpam-6379	41	23	evaluating	evaluate	VERB
ejpam-6379	41	24	the	the	DET
ejpam-6379	41	25	transmission	transmission	NOUN
ejpam-6379	41	26	dynamics	dynamic	NOUN
ejpam-6379	41	27	of	of	ADP
ejpam-6379	41	28	infectious	infectious	ADJ
ejpam-6379	41	29	diseases	disease	NOUN
ejpam-6379	41	30	[	[	X
ejpam-6379	41	31	26–30	26–30	NUM
ejpam-6379	41	32	]	]	PUNCT
ejpam-6379	41	33	.	.	PUNCT
ejpam-6379	42	1	the	the	DET
ejpam-6379	42	2	majority	majority	NOUN
ejpam-6379	42	3	of	of	ADP
ejpam-6379	42	4	current	current	ADJ
ejpam-6379	42	5	models	model	NOUN
ejpam-6379	42	6	are	be	AUX
ejpam-6379	42	7	classical	classical	ADJ
ejpam-6379	42	8	deterministic	deterministic	ADJ
ejpam-6379	42	9	and	and	CCONJ
ejpam-6379	42	10	fractal	fractal	ADJ
ejpam-6379	42	11	models	model	NOUN
ejpam-6379	42	12	,	,	PUNCT
ejpam-6379	42	13	which	which	PRON
ejpam-6379	42	14	may	may	AUX
ejpam-6379	42	15	ignore	ignore	VERB
ejpam-6379	42	16	the	the	DET
ejpam-6379	42	17	inherent	inherent	ADJ
ejpam-6379	42	18	natural	natural	ADJ
ejpam-6379	42	19	variability	variability	NOUN
ejpam-6379	42	20	of	of	ADP
ejpam-6379	42	21	disease	disease	NOUN
ejpam-6379	42	22	transmission	transmission	NOUN
ejpam-6379	42	23	and	and	CCONJ
ejpam-6379	42	24	the	the	DET
ejpam-6379	42	25	background	background	NOUN
ejpam-6379	42	26	noise	noise	NOUN
ejpam-6379	42	27	or	or	CCONJ
ejpam-6379	42	28	ambient	ambient	ADJ
ejpam-6379	42	29	noise	noise	NOUN
ejpam-6379	42	30	.	.	PUNCT
ejpam-6379	43	1	environmental	environmental	ADJ
ejpam-6379	43	2	randomicity	randomicity	NOUN
ejpam-6379	43	3	is	be	AUX
ejpam-6379	43	4	an	an	DET
ejpam-6379	43	5	important	important	ADJ
ejpam-6379	43	6	factor	factor	NOUN
ejpam-6379	43	7	in	in	ADP
ejpam-6379	43	8	the	the	DET
ejpam-6379	43	9	occurrence	occurrence	NOUN
ejpam-6379	43	10	and	and	CCONJ
ejpam-6379	43	11	progression	progression	NOUN
ejpam-6379	43	12	of	of	ADP
ejpam-6379	43	13	epidemics	epidemic	NOUN
ejpam-6379	43	14	,	,	PUNCT
ejpam-6379	43	15	and	and	CCONJ
ejpam-6379	43	16	there	there	PRON
ejpam-6379	43	17	is	be	VERB
ejpam-6379	43	18	a	a	DET
ejpam-6379	43	19	greater	great	ADJ
ejpam-6379	43	20	attention	attention	NOUN
ejpam-6379	43	21	to	to	ADP
ejpam-6379	43	22	stochastic	stochastic	ADJ
ejpam-6379	43	23	models	model	NOUN
ejpam-6379	43	24	containing	contain	VERB
ejpam-6379	43	25	randomicity	randomicity	NOUN
ejpam-6379	43	26	.	.	PUNCT
ejpam-6379	44	1	stochastic	stochastic	ADJ
ejpam-6379	44	2	systems	system	NOUN
ejpam-6379	44	3	and	and	CCONJ
ejpam-6379	44	4	fractional	fractional	ADJ
ejpam-6379	44	5	-	-	PUNCT
ejpam-6379	44	6	order	order	NOUN
ejpam-6379	44	7	mathematical	mathematical	ADJ
ejpam-6379	44	8	models	model	NOUN
ejpam-6379	44	9	have	have	AUX
ejpam-6379	44	10	been	be	AUX
ejpam-6379	44	11	more	more	ADV
ejpam-6379	44	12	widely	widely	ADV
ejpam-6379	44	13	used	use	VERB
ejpam-6379	44	14	in	in	ADP
ejpam-6379	44	15	the	the	DET
ejpam-6379	44	16	study	study	NOUN
ejpam-6379	44	17	of	of	ADP
ejpam-6379	44	18	the	the	DET
ejpam-6379	44	19	transmission	transmission	NOUN
ejpam-6379	44	20	dynamics	dynamic	NOUN
ejpam-6379	44	21	of	of	ADP
ejpam-6379	44	22	infectious	infectious	ADJ
ejpam-6379	44	23	diseases	disease	NOUN
ejpam-6379	44	24	in	in	ADP
ejpam-6379	44	25	recent	recent	ADJ
ejpam-6379	44	26	years	year	NOUN
ejpam-6379	44	27	.	.	PUNCT
ejpam-6379	45	1	for	for	ADP
ejpam-6379	45	2	example	example	NOUN
ejpam-6379	45	3	,	,	PUNCT
ejpam-6379	45	4	fractional	fractional	ADJ
ejpam-6379	45	5	differential	differential	ADJ
ejpam-6379	45	6	equations	equation	NOUN
ejpam-6379	45	7	and	and	CCONJ
ejpam-6379	45	8	stochastic	stochastic	NOUN
ejpam-6379	45	9	systems	system	NOUN
ejpam-6379	45	10	have	have	AUX
ejpam-6379	45	11	been	be	AUX
ejpam-6379	45	12	used	use	VERB
ejpam-6379	45	13	in	in	ADP
ejpam-6379	45	14	modeling	model	VERB
ejpam-6379	45	15	complex	complex	ADJ
ejpam-6379	45	16	diseases	disease	NOUN
ejpam-6379	45	17	such	such	ADJ
ejpam-6379	45	18	as	as	ADP
ejpam-6379	45	19	visceral	visceral	ADJ
ejpam-6379	45	20	leishmaniasis	leishmaniasis	NOUN
ejpam-6379	45	21	,	,	PUNCT
ejpam-6379	45	22	flu	flu	NOUN
ejpam-6379	45	23	pandemics	pandemic	NOUN
ejpam-6379	45	24	,	,	PUNCT
ejpam-6379	45	25	and	and	CCONJ
ejpam-6379	45	26	covid19	covid19	NOUN
ejpam-6379	45	27	.	.	PUNCT
ejpam-6379	46	1	these	these	DET
ejpam-6379	46	2	methodologies	methodology	NOUN
ejpam-6379	46	3	enable	enable	VERB
ejpam-6379	46	4	better	well	ADJ
ejpam-6379	46	5	understanding	understanding	NOUN
ejpam-6379	46	6	of	of	ADP
ejpam-6379	46	7	disease	disease	NOUN
ejpam-6379	46	8	persistence	persistence	NOUN
ejpam-6379	46	9	,	,	PUNCT
ejpam-6379	46	10	extinction	extinction	NOUN
ejpam-6379	46	11	conditions	condition	NOUN
ejpam-6379	46	12	,	,	PUNCT
ejpam-6379	46	13	and	and	CCONJ
ejpam-6379	46	14	evaluation	evaluation	NOUN
ejpam-6379	46	15	of	of	ADP
ejpam-6379	46	16	control	control	NOUN
ejpam-6379	46	17	strategies	strategy	NOUN
ejpam-6379	46	18	[	[	X
ejpam-6379	46	19	31–37	31–37	X
ejpam-6379	46	20	]	]	PUNCT
ejpam-6379	46	21	.	.	PUNCT
ejpam-6379	47	1	ali	ali	PROPN
ejpam-6379	47	2	,	,	PUNCT
ejpam-6379	47	3	m.	m.	NOUN
ejpam-6379	47	4	et	et	PROPN
ejpam-6379	47	5	al	al	PROPN
ejpam-6379	47	6	.	.	PUNCT
ejpam-6379	48	1	[	[	X
ejpam-6379	48	2	07	07	NUM
ejpam-6379	48	3	]	]	PUNCT
ejpam-6379	48	4	proposed	propose	VERB
ejpam-6379	48	5	a	a	DET
ejpam-6379	48	6	new	new	ADJ
ejpam-6379	48	7	stochastic	stochastic	ADJ
ejpam-6379	48	8	model	model	NOUN
ejpam-6379	48	9	change	change	NOUN
ejpam-6379	48	10	point	point	NOUN
ejpam-6379	48	11	seihr	seihr	NOUN
ejpam-6379	48	12	to	to	PART
ejpam-6379	48	13	predict	predict	VERB
ejpam-6379	48	14	covid-19	covid-19	PROPN
ejpam-6379	48	15	in	in	ADP
ejpam-6379	48	16	south	south	PROPN
ejpam-6379	48	17	africa	africa	PROPN
ejpam-6379	48	18	and	and	CCONJ
ejpam-6379	48	19	to	to	PART
ejpam-6379	48	20	evaluate	evaluate	VERB
ejpam-6379	48	21	the	the	DET
ejpam-6379	48	22	effectiveness	effectiveness	NOUN
ejpam-6379	48	23	of	of	ADP
ejpam-6379	48	24	npis	npis	PROPN
ejpam-6379	48	25	.	.	PUNCT
ejpam-6379	49	1	the	the	DET
ejpam-6379	49	2	study	study	NOUN
ejpam-6379	49	3	developed	develop	VERB
ejpam-6379	49	4	solutions	solution	NOUN
ejpam-6379	49	5	using	use	VERB
ejpam-6379	49	6	stochastic	stochastic	ADJ
ejpam-6379	49	7	lyapunov	lyapunov	NOUN
ejpam-6379	49	8	function	function	NOUN
ejpam-6379	49	9	theory	theory	NOUN
ejpam-6379	49	10	and	and	CCONJ
ejpam-6379	49	11	analyzed	analyze	VERB
ejpam-6379	49	12	data	datum	NOUN
ejpam-6379	49	13	gathere	gathere	VERB
ejpam-6379	49	14	between	between	ADP
ejpam-6379	49	15	april	april	PROPN
ejpam-6379	49	16	and	and	CCONJ
ejpam-6379	49	17	september	september	PROPN
ejpam-6379	49	18	2021	2021	NUM
ejpam-6379	49	19	to	to	PART
ejpam-6379	49	20	explore	explore	VERB
ejpam-6379	49	21	the	the	DET
ejpam-6379	49	22	dynamics	dynamic	NOUN
ejpam-6379	49	23	of	of	ADP
ejpam-6379	49	24	the	the	DET
ejpam-6379	49	25	pandemic	pandemic	NOUN
ejpam-6379	49	26	.	.	PUNCT
ejpam-6379	50	1	the	the	DET
ejpam-6379	50	2	model	model	NOUN
ejpam-6379	50	3	tests	test	VERB
ejpam-6379	50	4	the	the	DET
ejpam-6379	50	5	efficacy	efficacy	NOUN
ejpam-6379	50	6	of	of	ADP
ejpam-6379	50	7	lockdowns	lockdown	NOUN
ejpam-6379	50	8	in	in	ADP
ejpam-6379	50	9	preventing	prevent	VERB
ejpam-6379	50	10	the	the	DET
ejpam-6379	50	11	spread	spread	NOUN
ejpam-6379	50	12	of	of	ADP
ejpam-6379	50	13	viruses	virus	NOUN
ejpam-6379	50	14	.	.	PUNCT
ejpam-6379	51	1	alnafisah	alnafisah	NOUN
ejpam-6379	51	2	and	and	CCONJ
ejpam-6379	51	3	el	el	PROPN
ejpam-6379	51	4	-	-	PUNCT
ejpam-6379	51	5	shahed	shahed	ADJ
ejpam-6379	51	6	[	[	X
ejpam-6379	51	7	08	08	NUM
ejpam-6379	51	8	]	]	PUNCT
ejpam-6379	51	9	proposed	propose	VERB
ejpam-6379	51	10	a	a	DET
ejpam-6379	51	11	stochastic	stochastic	ADJ
ejpam-6379	51	12	hantavirus	hantavirus	NOUN
ejpam-6379	51	13	infection	infection	NOUN
ejpam-6379	51	14	model	model	NOUN
ejpam-6379	51	15	.	.	PUNCT
ejpam-6379	52	1	were	be	AUX
ejpam-6379	52	2	established	establish	VERB
ejpam-6379	52	3	for	for	ADP
ejpam-6379	52	4	the	the	DET
ejpam-6379	52	5	solution	solution	NOUN
ejpam-6379	52	6	in	in	ADP
ejpam-6379	52	7	the	the	DET
ejpam-6379	52	8	space	space	NOUN
ejpam-6379	52	9	determined	determine	VERB
ejpam-6379	52	10	space	space	NOUN
ejpam-6379	52	11	.	.	PUNCT
ejpam-6379	53	1	they	they	PRON
ejpam-6379	53	2	also	also	ADV
ejpam-6379	53	3	established	establish	VERB
ejpam-6379	53	4	conditions	condition	NOUN
ejpam-6379	53	5	for	for	ADP
ejpam-6379	53	6	a	a	DET
ejpam-6379	53	7	unique	unique	ADJ
ejpam-6379	53	8	ergodic	ergodic	ADJ
ejpam-6379	53	9	stationary	stationary	ADJ
ejpam-6379	53	10	distribution	distribution	NOUN
ejpam-6379	53	11	and	and	CCONJ
ejpam-6379	53	12	conditions	condition	NOUN
ejpam-6379	53	13	for	for	ADP
ejpam-6379	53	14	extinction	extinction	NOUN
ejpam-6379	53	15	of	of	ADP
ejpam-6379	53	16	hantavirus	hantavirus	NOUN
ejpam-6379	53	17	infection	infection	NOUN
ejpam-6379	53	18	.	.	PUNCT
ejpam-6379	54	1	with	with	ADP
ejpam-6379	54	2	the	the	DET
ejpam-6379	54	3	milstein	milstein	ADJ
ejpam-6379	54	4	method	method	NOUN
ejpam-6379	54	5	,	,	PUNCT
ejpam-6379	54	6	they	they	PRON
ejpam-6379	54	7	highlighted	highlight	VERB
ejpam-6379	54	8	the	the	DET
ejpam-6379	54	9	role	role	NOUN
ejpam-6379	54	10	of	of	ADP
ejpam-6379	54	11	environmental	environmental	ADJ
ejpam-6379	54	12	noise	noise	NOUN
ejpam-6379	54	13	in	in	ADP
ejpam-6379	54	14	the	the	DET
ejpam-6379	54	15	model	model	NOUN
ejpam-6379	54	16	.	.	PUNCT
ejpam-6379	55	1	liu	liu	PROPN
ejpam-6379	55	2	and	and	CCONJ
ejpam-6379	55	3	jiang	jiang	PROPN
ejpam-6379	56	1	[	[	X
ejpam-6379	56	2	09	09	NUM
ejpam-6379	56	3	]	]	PUNCT
ejpam-6379	56	4	considered	consider	VERB
ejpam-6379	56	5	a	a	DET
ejpam-6379	56	6	sir	sir	NOUN
ejpam-6379	56	7	epidemic	epidemic	NOUN
ejpam-6379	56	8	model	model	NOUN
ejpam-6379	56	9	with	with	ADP
ejpam-6379	56	10	logistic	logistic	ADJ
ejpam-6379	56	11	birth	birth	NOUN
ejpam-6379	56	12	rate	rate	NOUN
ejpam-6379	56	13	and	and	CCONJ
ejpam-6379	56	14	possibilitic	possibilitic	ADJ
ejpam-6379	56	15	formulation	formulation	NOUN
ejpam-6379	56	16	,	,	PUNCT
ejpam-6379	56	17	and	and	CCONJ
ejpam-6379	56	18	established	establish	VERB
ejpam-6379	56	19	the	the	DET
ejpam-6379	56	20	global	global	ADJ
ejpam-6379	56	21	stability	stability	NOUN
ejpam-6379	56	22	of	of	ADP
ejpam-6379	56	23	the	the	DET
ejpam-6379	56	24	positive	positive	ADJ
ejpam-6379	56	25	equilibrium	equilibrium	NOUN
ejpam-6379	56	26	by	by	ADP
ejpam-6379	56	27	using	use	VERB
ejpam-6379	56	28	the	the	DET
ejpam-6379	56	29	analysing	analysing	NOUN
ejpam-6379	56	30	method	method	NOUN
ejpam-6379	56	31	based	base	VERB
ejpam-6379	56	32	on	on	ADP
ejpam-6379	56	33	the	the	DET
ejpam-6379	56	34	lyapunov	lyapunov	ADJ
ejpam-6379	56	35	functions	function	NOUN
ejpam-6379	56	36	and	and	CCONJ
ejpam-6379	56	37	constructed	construct	VERB
ejpam-6379	56	38	a	a	DET
ejpam-6379	56	39	globally	globally	ADV
ejpam-6379	56	40	asymptotically	asymptotically	ADV
ejpam-6379	56	41	stable	stable	ADJ
ejpam-6379	56	42	solution	solution	NOUN
ejpam-6379	56	43	.	.	PUNCT
ejpam-6379	57	1	the	the	DET
ejpam-6379	57	2	stochastic	stochastic	ADJ
ejpam-6379	57	3	basic	basic	ADJ
ejpam-6379	57	4	reproduction	reproduction	NOUN
ejpam-6379	57	5	number	number	NOUN
ejpam-6379	57	6	rs	rs	NOUN
ejpam-6379	57	7	0	0	NUM
ejpam-6379	57	8	is	be	AUX
ejpam-6379	57	9	shown	show	VERB
ejpam-6379	57	10	to	to	PART
ejpam-6379	57	11	play	play	VERB
ejpam-6379	57	12	a	a	DET
ejpam-6379	57	13	role	role	NOUN
ejpam-6379	57	14	in	in	ADP
ejpam-6379	57	15	determining	determine	VERB
ejpam-6379	57	16	the	the	DET
ejpam-6379	57	17	threshold	threshold	NOUN
ejpam-6379	57	18	dynamics	dynamic	NOUN
ejpam-6379	57	19	of	of	ADP
ejpam-6379	57	20	the	the	DET
ejpam-6379	57	21	system	system	NOUN
ejpam-6379	57	22	in	in	ADP
ejpam-6379	57	23	given	give	VERB
ejpam-6379	57	24	circumstances	circumstance	NOUN
ejpam-6379	57	25	,	,	PUNCT
ejpam-6379	57	26	and	and	CCONJ
ejpam-6379	57	27	sufficient	sufficient	ADJ
ejpam-6379	57	28	conditions	condition	NOUN
ejpam-6379	57	29	are	be	AUX
ejpam-6379	57	30	established	establish	VERB
ejpam-6379	57	31	for	for	ADP
ejpam-6379	57	32	the	the	DET
ejpam-6379	57	33	extinction	extinction	NOUN
ejpam-6379	57	34	of	of	ADP
ejpam-6379	57	35	the	the	DET
ejpam-6379	57	36	disease	disease	NOUN
ejpam-6379	57	37	and	and	CCONJ
ejpam-6379	57	38	the	the	DET
ejpam-6379	57	39	stably	stably	ADJ
ejpam-6379	57	40	existence	existence	NOUN
ejpam-6379	57	41	of	of	ADP
ejpam-6379	57	42	the	the	DET
ejpam-6379	57	43	positive	positive	ADJ
ejpam-6379	57	44	solutions	solution	NOUN
ejpam-6379	57	45	.	.	PUNCT
ejpam-6379	58	1	kang	kang	PROPN
ejpam-6379	58	2	et	et	PROPN
ejpam-6379	58	3	al	al	PROPN
ejpam-6379	58	4	.	.	PUNCT
ejpam-6379	59	1	[	[	X
ejpam-6379	59	2	38	38	NUM
ejpam-6379	59	3	]	]	PUNCT
ejpam-6379	59	4	studied	study	VERB
ejpam-6379	59	5	the	the	DET
ejpam-6379	59	6	sis	sis	NOUN
ejpam-6379	59	7	model	model	NOUN
ejpam-6379	59	8	in	in	ADP
ejpam-6379	59	9	randomly	randomly	ADV
ejpam-6379	59	10	fluctuating	fluctuate	VERB
ejpam-6379	59	11	environments	environment	NOUN
ejpam-6379	59	12	.	.	PUNCT
ejpam-6379	60	1	they	they	PRON
ejpam-6379	60	2	used	use	VERB
ejpam-6379	60	3	parameter	parameter	NOUN
ejpam-6379	60	4	perturbation	perturbation	NOUN
ejpam-6379	60	5	to	to	PART
ejpam-6379	60	6	investigate	investigate	VERB
ejpam-6379	60	7	the	the	DET
ejpam-6379	60	8	impact	impact	NOUN
ejpam-6379	60	9	of	of	ADP
ejpam-6379	60	10	uncertainties	uncertainty	NOUN
ejpam-6379	60	11	in	in	ADP
ejpam-6379	60	12	parameters	parameter	NOUN
ejpam-6379	60	13	,	,	PUNCT
ejpam-6379	60	14	such	such	ADJ
ejpam-6379	60	15	as	as	ADP
ejpam-6379	60	16	infection	infection	NOUN
ejpam-6379	60	17	rate	rate	NOUN
ejpam-6379	60	18	,	,	PUNCT
ejpam-6379	60	19	recovery	recovery	NOUN
ejpam-6379	60	20	rate	rate	NOUN
ejpam-6379	60	21	.	.	PUNCT
ejpam-6379	61	1	they	they	PRON
ejpam-6379	61	2	demonstrated	demonstrate	VERB
ejpam-6379	61	3	that	that	SCONJ
ejpam-6379	61	4	stratonovich	stratonovich	NOUN
ejpam-6379	61	5	’s	’s	PART
ejpam-6379	61	6	sde	sde	PROPN
ejpam-6379	61	7	is	be	AUX
ejpam-6379	61	8	not	not	PART
ejpam-6379	61	9	well	well	ADV
ejpam-6379	61	10	defined	define	VERB
ejpam-6379	61	11	once	once	SCONJ
ejpam-6379	61	12	the	the	DET
ejpam-6379	61	13	fluctuation	fluctuation	NOUN
ejpam-6379	61	14	is	be	AUX
ejpam-6379	61	15	gaussian	gaussian	ADJ
ejpam-6379	61	16	.	.	PUNCT
ejpam-6379	62	1	the	the	DET
ejpam-6379	62	2	reason	reason	NOUN
ejpam-6379	62	3	is	be	AUX
ejpam-6379	62	4	that	that	SCONJ
ejpam-6379	62	5	the	the	DET
ejpam-6379	62	6	stratonovich	stratonovich	PROPN
ejpam-6379	62	7	sde	sde	PROPN
ejpam-6379	62	8	is	be	AUX
ejpam-6379	62	9	more	more	ADV
ejpam-6379	62	10	appropriate	appropriate	ADJ
ejpam-6379	62	11	for	for	ADP
ejpam-6379	62	12	the	the	DET
ejpam-6379	62	13	parameter	parameter	NOUN
ejpam-6379	62	14	changes	change	NOUN
ejpam-6379	62	15	in	in	ADP
ejpam-6379	62	16	the	the	DET
ejpam-6379	62	17	epidemic	epidemic	NOUN
ejpam-6379	62	18	model	model	NOUN
ejpam-6379	62	19	.	.	PUNCT
ejpam-6379	63	1	in	in	ADP
ejpam-6379	63	2	contrast	contrast	NOUN
ejpam-6379	63	3	,	,	PUNCT
ejpam-6379	63	4	the	the	DET
ejpam-6379	63	5	influence	influence	NOUN
ejpam-6379	63	6	of	of	ADP
ejpam-6379	63	7	the	the	DET
ejpam-6379	63	8	itô	itô	PROPN
ejpam-6379	63	9	sde	sde	PROPN
ejpam-6379	63	10	scales	scale	VERB
ejpam-6379	63	11	with	with	ADP
ejpam-6379	63	12	the	the	DET
ejpam-6379	63	13	variance	variance	NOUN
ejpam-6379	63	14	.	.	PUNCT
ejpam-6379	64	1	we	we	PRON
ejpam-6379	64	2	take	take	VERB
ejpam-6379	64	3	one	one	NUM
ejpam-6379	64	4	step	step	NOUN
ejpam-6379	64	5	further	far	ADV
ejpam-6379	64	6	in	in	ADP
ejpam-6379	64	7	influenza	influenza	ADJ
ejpam-6379	64	8	transmission	transmission	NOUN
ejpam-6379	64	9	modeling	modeling	NOUN
ejpam-6379	64	10	by	by	ADP
ejpam-6379	64	11	incorporating	incorporate	VERB
ejpam-6379	64	12	stochasticity	stochasticity	NOUN
ejpam-6379	64	13	in	in	ADP
ejpam-6379	64	14	contrast	contrast	NOUN
ejpam-6379	64	15	to	to	ADP
ejpam-6379	64	16	the	the	DET
ejpam-6379	64	17	classical	classical	ADJ
ejpam-6379	64	18	deterministic	deterministic	ADJ
ejpam-6379	64	19	modeling	modeling	NOUN
ejpam-6379	64	20	.	.	PUNCT
ejpam-6379	65	1	the	the	DET
ejpam-6379	65	2	study	study	NOUN
ejpam-6379	65	3	investigates	investigate	VERB
ejpam-6379	65	4	what	what	PRON
ejpam-6379	65	5	the	the	DET
ejpam-6379	65	6	intensity	intensity	NOUN
ejpam-6379	65	7	of	of	ADP
ejpam-6379	65	8	white	white	ADJ
ejpam-6379	65	9	noise	noise	NOUN
ejpam-6379	65	10	does	do	VERB
ejpam-6379	65	11	to	to	ADP
ejpam-6379	65	12	variability	variability	NOUN
ejpam-6379	65	13	,	,	PUNCT
ejpam-6379	65	14	similar	similar	ADJ
ejpam-6379	65	15	to	to	ADP
ejpam-6379	65	16	what	what	PRON
ejpam-6379	65	17	happens	happen	VERB
ejpam-6379	65	18	with	with	ADP
ejpam-6379	65	19	social	social	ADJ
ejpam-6379	65	20	behavior	behavior	NOUN
ejpam-6379	65	21	and	and	CCONJ
ejpam-6379	65	22	environmental	environmental	ADJ
ejpam-6379	65	23	change	change	NOUN
ejpam-6379	65	24	.	.	PUNCT
ejpam-6379	66	1	looking	look	VERB
ejpam-6379	66	2	at	at	ADP
ejpam-6379	66	3	different	different	ADJ
ejpam-6379	66	4	levels	level	NOUN
ejpam-6379	66	5	of	of	ADP
ejpam-6379	66	6	noise	noise	NOUN
ejpam-6379	66	7	,	,	PUNCT
ejpam-6379	66	8	the	the	DET
ejpam-6379	66	9	model	model	NOUN
ejpam-6379	66	10	includes	include	VERB
ejpam-6379	66	11	the	the	DET
ejpam-6379	66	12	randomness	randomness	NOUN
ejpam-6379	66	13	of	of	ADP
ejpam-6379	66	14	the	the	DET
ejpam-6379	66	15	trends	trend	NOUN
ejpam-6379	66	16	in	in	ADP
ejpam-6379	66	17	the	the	DET
ejpam-6379	66	18	epidemics	epidemic	NOUN
ejpam-6379	66	19	and	and	CCONJ
ejpam-6379	66	20	finds	find	VERB
ejpam-6379	66	21	the	the	DET
ejpam-6379	66	22	basic	basic	ADJ
ejpam-6379	66	23	parameters	parameter	NOUN
ejpam-6379	66	24	(	(	PUNCT
ejpam-6379	66	25	r.	r.	PROPN
ejpam-6379	66	26	saadeh	saadeh	PROPN
ejpam-6379	66	27	et	et	PROPN
ejpam-6379	66	28	al	al	PROPN
ejpam-6379	66	29	.	.	PUNCT
ejpam-6379	66	30	/	/	SYM
ejpam-6379	66	31	eur	eur	PROPN
ejpam-6379	66	32	.	.	PUNCT
ejpam-6379	67	1	j.	j.	PROPN
ejpam-6379	67	2	pure	pure	PROPN
ejpam-6379	67	3	appl	appl	PROPN
ejpam-6379	67	4	.	.	PROPN
ejpam-6379	67	5	math	math	PROPN
ejpam-6379	67	6	,	,	PUNCT
ejpam-6379	67	7	18	18	NUM
ejpam-6379	67	8	(	(	PUNCT
ejpam-6379	67	9	3	3	NUM
ejpam-6379	67	10	)	)	PUNCT
ejpam-6379	67	11	(	(	PUNCT
ejpam-6379	67	12	2025	2025	NUM
ejpam-6379	67	13	)	)	PUNCT
ejpam-6379	67	14	,	,	PUNCT
ejpam-6379	67	15	6379	6379	NUM
ejpam-6379	67	16	4	4	NUM
ejpam-6379	67	17	of	of	ADP
ejpam-6379	67	18	34	34	NUM
ejpam-6379	67	19	beta	beta	NOUN
ejpam-6379	67	20	,	,	PUNCT
ejpam-6379	67	21	alpha	alpha	PROPN
ejpam-6379	67	22	)	)	PUNCT
ejpam-6379	67	23	that	that	PRON
ejpam-6379	67	24	determine	determine	VERB
ejpam-6379	67	25	the	the	DET
ejpam-6379	67	26	timing	timing	NOUN
ejpam-6379	67	27	,	,	PUNCT
ejpam-6379	67	28	severity	severity	NOUN
ejpam-6379	67	29	,	,	PUNCT
ejpam-6379	67	30	and	and	CCONJ
ejpam-6379	67	31	maximum	maximum	ADJ
ejpam-6379	67	32	hospitalization	hospitalization	NOUN
ejpam-6379	67	33	of	of	ADP
ejpam-6379	67	34	the	the	DET
ejpam-6379	67	35	outbreaks	outbreak	NOUN
ejpam-6379	67	36	.	.	PUNCT
ejpam-6379	68	1	the	the	DET
ejpam-6379	68	2	results	result	NOUN
ejpam-6379	68	3	confirm	confirm	VERB
ejpam-6379	68	4	that	that	SCONJ
ejpam-6379	68	5	stochastic	stochastic	ADJ
ejpam-6379	68	6	modeling	modeling	NOUN
ejpam-6379	68	7	is	be	AUX
ejpam-6379	68	8	essential	essential	ADJ
ejpam-6379	68	9	for	for	ADP
ejpam-6379	68	10	a	a	DET
ejpam-6379	68	11	successful	successful	ADJ
ejpam-6379	68	12	public	public	ADJ
ejpam-6379	68	13	health	health	NOUN
ejpam-6379	68	14	intervention	intervention	NOUN
ejpam-6379	68	15	.	.	PUNCT
ejpam-6379	69	1	2	2	X
ejpam-6379	69	2	.	.	X
ejpam-6379	69	3	model	model	NOUN
ejpam-6379	69	4	formulation	formulation	NOUN
ejpam-6379	69	5	we	we	PRON
ejpam-6379	69	6	consider	consider	VERB
ejpam-6379	69	7	an	an	DET
ejpam-6379	69	8	seihvr	seihvr	ADJ
ejpam-6379	69	9	epidemic	epidemic	NOUN
ejpam-6379	69	10	model	model	NOUN
ejpam-6379	69	11	,	,	PUNCT
ejpam-6379	69	12	where	where	SCONJ
ejpam-6379	69	13	the	the	DET
ejpam-6379	69	14	total	total	ADJ
ejpam-6379	69	15	human	human	ADJ
ejpam-6379	69	16	population	population	NOUN
ejpam-6379	69	17	at	at	ADP
ejpam-6379	69	18	any	any	DET
ejpam-6379	69	19	time	time	NOUN
ejpam-6379	69	20	t	t	PROPN
ejpam-6379	69	21	is	be	AUX
ejpam-6379	69	22	denoted	denote	VERB
ejpam-6379	69	23	by	by	ADP
ejpam-6379	69	24	n	n	PROPN
ejpam-6379	69	25	(	(	PUNCT
ejpam-6379	69	26	t	t	PROPN
ejpam-6379	69	27	)	)	PUNCT
ejpam-6379	69	28	.	.	PUNCT
ejpam-6379	70	1	subdivides	subdivide	VERB
ejpam-6379	70	2	into	into	ADP
ejpam-6379	70	3	six	six	NUM
ejpam-6379	70	4	compartments	compartment	NOUN
ejpam-6379	70	5	susceptible	susceptible	ADJ
ejpam-6379	70	6	individuals	individual	NOUN
ejpam-6379	70	7	(	(	PUNCT
ejpam-6379	70	8	s	s	NOUN
ejpam-6379	70	9	)	)	PUNCT
ejpam-6379	70	10	,	,	PUNCT
ejpam-6379	70	11	exposed	expose	VERB
ejpam-6379	70	12	(	(	PUNCT
ejpam-6379	70	13	e	e	NOUN
ejpam-6379	70	14	)	)	PUNCT
ejpam-6379	70	15	,	,	PUNCT
ejpam-6379	70	16	infected	infect	VERB
ejpam-6379	70	17	(	(	PUNCT
ejpam-6379	70	18	i	i	NOUN
ejpam-6379	70	19	)	)	PUNCT
ejpam-6379	70	20	,	,	PUNCT
ejpam-6379	70	21	hospitalized	hospitalize	VERB
ejpam-6379	70	22	(	(	PUNCT
ejpam-6379	70	23	h	h	NOUN
ejpam-6379	70	24	)	)	PUNCT
ejpam-6379	70	25	,	,	PUNCT
ejpam-6379	70	26	vaccinated	vaccinate	VERB
ejpam-6379	70	27	(	(	PUNCT
ejpam-6379	70	28	v	v	NOUN
ejpam-6379	70	29	)	)	PUNCT
ejpam-6379	70	30	,	,	PUNCT
ejpam-6379	70	31	and	and	CCONJ
ejpam-6379	70	32	recovered	recover	VERB
ejpam-6379	70	33	(	(	PUNCT
ejpam-6379	70	34	r	r	NOUN
ejpam-6379	70	35	)	)	PUNCT
ejpam-6379	70	36	.	.	PUNCT
ejpam-6379	71	1	thus	thus	ADV
ejpam-6379	71	2	,	,	PUNCT
ejpam-6379	71	3	n(t	n(t	PROPN
ejpam-6379	71	4	)	)	PUNCT
ejpam-6379	71	5	=	=	PUNCT
ejpam-6379	71	6	s(t	s(t	PROPN
ejpam-6379	71	7	)	)	PUNCT
ejpam-6379	71	8	+	+	SYM
ejpam-6379	71	9	e(t	e(t	NOUN
ejpam-6379	71	10	)	)	PUNCT
ejpam-6379	71	11	+	+	CCONJ
ejpam-6379	71	12	i(t	i(t	NOUN
ejpam-6379	71	13	)	)	PUNCT
ejpam-6379	72	1	+	+	VERB
ejpam-6379	72	2	h(t	h(t	X
ejpam-6379	72	3	)	)	PUNCT
ejpam-6379	73	1	+	+	CCONJ
ejpam-6379	73	2	v	v	X
ejpam-6379	73	3	(	(	PUNCT
ejpam-6379	73	4	t	t	NOUN
ejpam-6379	73	5	)	)	PUNCT
ejpam-6379	73	6	+	+	NOUN
ejpam-6379	73	7	r(t	r(t	NOUN
ejpam-6379	73	8	)	)	PUNCT
ejpam-6379	73	9	.	.	PUNCT
ejpam-6379	74	1	each	each	DET
ejpam-6379	74	2	class	class	NOUN
ejpam-6379	74	3	incurs	incur	VERB
ejpam-6379	74	4	a	a	DET
ejpam-6379	74	5	fixed	fix	VERB
ejpam-6379	74	6	natural	natural	ADJ
ejpam-6379	74	7	death	death	NOUN
ejpam-6379	74	8	at	at	ADP
ejpam-6379	74	9	rate	rate	NOUN
ejpam-6379	74	10	µ.	µ.	PROPN
ejpam-6379	74	11	the	the	DET
ejpam-6379	74	12	susceptible	susceptible	ADJ
ejpam-6379	74	13	class	class	NOUN
ejpam-6379	74	14	is	be	AUX
ejpam-6379	74	15	assumed	assume	VERB
ejpam-6379	74	16	to	to	PART
ejpam-6379	74	17	be	be	AUX
ejpam-6379	74	18	increasing	increase	VERB
ejpam-6379	74	19	by	by	ADP
ejpam-6379	74	20	recruitment	recruitment	NOUN
ejpam-6379	74	21	process	process	NOUN
ejpam-6379	74	22	at	at	ADP
ejpam-6379	74	23	rate	rate	NOUN
ejpam-6379	74	24	λ	λ	PROPN
ejpam-6379	74	25	and	and	CCONJ
ejpam-6379	74	26	by	by	ADP
ejpam-6379	74	27	waning	wane	VERB
ejpam-6379	74	28	immunity	immunity	NOUN
ejpam-6379	74	29	of	of	ADP
ejpam-6379	74	30	the	the	DET
ejpam-6379	74	31	individuals	individual	NOUN
ejpam-6379	74	32	in	in	ADP
ejpam-6379	74	33	classes	class	NOUN
ejpam-6379	74	34	v	v	VERB
ejpam-6379	74	35	and	and	CCONJ
ejpam-6379	74	36	r	r	NOUN
ejpam-6379	74	37	at	at	ADP
ejpam-6379	74	38	rate	rate	NOUN
ejpam-6379	74	39	ρ	ρ	PROPN
ejpam-6379	74	40	.	.	PUNCT
ejpam-6379	75	1	it	it	PRON
ejpam-6379	75	2	is	be	AUX
ejpam-6379	75	3	decreased	decrease	VERB
ejpam-6379	75	4	by	by	ADP
ejpam-6379	75	5	vaccination	vaccination	NOUN
ejpam-6379	75	6	at	at	ADP
ejpam-6379	75	7	rate	rate	NOUN
ejpam-6379	75	8	α	α	NOUN
ejpam-6379	75	9	and	and	CCONJ
ejpam-6379	75	10	by	by	ADP
ejpam-6379	75	11	the	the	DET
ejpam-6379	75	12	force	force	NOUN
ejpam-6379	75	13	of	of	ADP
ejpam-6379	75	14	infection	infection	NOUN
ejpam-6379	75	15	f	f	NOUN
ejpam-6379	75	16	=	=	SYM
ejpam-6379	75	17	β	β	X
ejpam-6379	75	18	(	(	PUNCT
ejpam-6379	75	19	e	e	NOUN
ejpam-6379	75	20	+	+	CCONJ
ejpam-6379	75	21	i)(s	i)(s	PRON
ejpam-6379	75	22	+	+	CCONJ
ejpam-6379	75	23	σv	σv	ADJ
ejpam-6379	75	24	)	)	PUNCT
ejpam-6379	75	25	n	n	CCONJ
ejpam-6379	75	26	,	,	PUNCT
ejpam-6379	75	27	where	where	SCONJ
ejpam-6379	75	28	σ	σ	PROPN
ejpam-6379	75	29	is	be	AUX
ejpam-6379	75	30	vaccination	vaccination	NOUN
ejpam-6379	75	31	inefficacy	inefficacy	NOUN
ejpam-6379	75	32	,	,	PUNCT
ejpam-6379	75	33	i.e.	i.e.	X
ejpam-6379	75	34	,	,	PUNCT
ejpam-6379	75	35	1	1	NUM
ejpam-6379	75	36	−	−	PROPN
ejpam-6379	75	37	σ	σ	PROPN
ejpam-6379	75	38	is	be	AUX
ejpam-6379	75	39	vaccine	vaccine	NOUN
ejpam-6379	75	40	efficacy	efficacy	NOUN
ejpam-6379	75	41	,	,	PUNCT
ejpam-6379	75	42	and	and	CCONJ
ejpam-6379	75	43	β	β	X
ejpam-6379	75	44	is	be	AUX
ejpam-6379	75	45	effective	effective	ADJ
ejpam-6379	75	46	contact	contact	NOUN
ejpam-6379	75	47	rate	rate	NOUN
ejpam-6379	75	48	of	of	ADP
ejpam-6379	75	49	a	a	DET
ejpam-6379	75	50	susceptible	susceptible	ADJ
ejpam-6379	75	51	or	or	CCONJ
ejpam-6379	75	52	vaccinated	vaccinated	ADJ
ejpam-6379	75	53	individual	individual	NOUN
ejpam-6379	75	54	with	with	ADP
ejpam-6379	75	55	an	an	DET
ejpam-6379	75	56	infected	infect	VERB
ejpam-6379	75	57	or	or	CCONJ
ejpam-6379	75	58	exposed	expose	VERB
ejpam-6379	75	59	individual	individual	NOUN
ejpam-6379	75	60	.	.	PUNCT
ejpam-6379	76	1	individuals	individual	NOUN
ejpam-6379	76	2	in	in	ADP
ejpam-6379	76	3	the	the	DET
ejpam-6379	76	4	exposed	expose	VERB
ejpam-6379	76	5	class	class	NOUN
ejpam-6379	76	6	are	be	AUX
ejpam-6379	76	7	recruited	recruit	VERB
ejpam-6379	76	8	by	by	ADP
ejpam-6379	76	9	the	the	DET
ejpam-6379	76	10	force	force	NOUN
ejpam-6379	76	11	of	of	ADP
ejpam-6379	76	12	infection	infection	NOUN
ejpam-6379	76	13	f	f	NOUN
ejpam-6379	76	14	,	,	PUNCT
ejpam-6379	76	15	and	and	CCONJ
ejpam-6379	76	16	move	move	VERB
ejpam-6379	76	17	to	to	ADP
ejpam-6379	76	18	class	class	NOUN
ejpam-6379	76	19	i	i	PRON
ejpam-6379	76	20	(	(	PUNCT
ejpam-6379	76	21	after	after	ADP
ejpam-6379	76	22	spending	spend	VERB
ejpam-6379	76	23	the	the	DET
ejpam-6379	76	24	incubation	incubation	NOUN
ejpam-6379	76	25	period	period	NOUN
ejpam-6379	76	26	)	)	PUNCT
ejpam-6379	76	27	at	at	ADP
ejpam-6379	76	28	rate	rate	NOUN
ejpam-6379	76	29	w	w	PROPN
ejpam-6379	76	30	and	and	CCONJ
ejpam-6379	76	31	to	to	ADP
ejpam-6379	76	32	class	class	NOUN
ejpam-6379	76	33	r	r	NOUN
ejpam-6379	76	34	at	at	ADP
ejpam-6379	76	35	rate	rate	NOUN
ejpam-6379	76	36	γ1	γ1	PROPN
ejpam-6379	76	37	.	.	PUNCT
ejpam-6379	77	1	vaccination	vaccination	NOUN
ejpam-6379	77	2	does	do	AUX
ejpam-6379	77	3	not	not	PART
ejpam-6379	77	4	confer	confer	VERB
ejpam-6379	77	5	a	a	DET
ejpam-6379	77	6	long	long	ADV
ejpam-6379	77	7	lasting	last	VERB
ejpam-6379	77	8	immunity	immunity	NOUN
ejpam-6379	77	9	nor	nor	CCONJ
ejpam-6379	77	10	full	full	ADJ
ejpam-6379	77	11	protection	protection	NOUN
ejpam-6379	77	12	is	be	AUX
ejpam-6379	77	13	guaranteed	guarantee	VERB
ejpam-6379	77	14	.	.	PUNCT
ejpam-6379	78	1	individuals	individual	NOUN
ejpam-6379	78	2	in	in	ADP
ejpam-6379	78	3	class	class	NOUN
ejpam-6379	78	4	v	v	NOUN
ejpam-6379	78	5	are	be	AUX
ejpam-6379	78	6	recruited	recruit	VERB
ejpam-6379	78	7	from	from	ADP
ejpam-6379	78	8	class	class	NOUN
ejpam-6379	78	9	s	s	NOUN
ejpam-6379	78	10	at	at	ADP
ejpam-6379	78	11	rate	rate	NOUN
ejpam-6379	78	12	α	α	NOUN
ejpam-6379	78	13	,	,	PUNCT
ejpam-6379	78	14	exposed	expose	VERB
ejpam-6379	78	15	to	to	ADP
ejpam-6379	78	16	the	the	DET
ejpam-6379	78	17	virus	virus	NOUN
ejpam-6379	78	18	at	at	ADP
ejpam-6379	78	19	rate	rate	NOUN
ejpam-6379	78	20	σ	σ	PROPN
ejpam-6379	78	21	,	,	PUNCT
ejpam-6379	78	22	and	and	CCONJ
ejpam-6379	78	23	become	become	VERB
ejpam-6379	78	24	susceptible	susceptible	ADJ
ejpam-6379	78	25	again	again	ADV
ejpam-6379	78	26	at	at	ADP
ejpam-6379	78	27	rate	rate	NOUN
ejpam-6379	78	28	ρ	ρ	PROPN
ejpam-6379	78	29	due	due	ADP
ejpam-6379	78	30	to	to	ADP
ejpam-6379	78	31	waning	wane	VERB
ejpam-6379	78	32	immunity	immunity	NOUN
ejpam-6379	78	33	.	.	PUNCT
ejpam-6379	79	1	infected	infect	VERB
ejpam-6379	79	2	individuals	individual	NOUN
ejpam-6379	79	3	are	be	AUX
ejpam-6379	79	4	increased	increase	VERB
ejpam-6379	79	5	at	at	ADP
ejpam-6379	79	6	rate	rate	NOUN
ejpam-6379	79	7	ω	ω	PROPN
ejpam-6379	79	8	from	from	ADP
ejpam-6379	79	9	class	class	NOUN
ejpam-6379	79	10	e	e	NOUN
ejpam-6379	79	11	,	,	PUNCT
ejpam-6379	79	12	recover	recover	VERB
ejpam-6379	79	13	at	at	ADP
ejpam-6379	79	14	rate	rate	NOUN
ejpam-6379	79	15	γ	γ	PROPN
ejpam-6379	79	16	,	,	PUNCT
ejpam-6379	79	17	and	and	CCONJ
ejpam-6379	79	18	ϵ	ϵ	SCONJ
ejpam-6379	79	19	fraction	fraction	NOUN
ejpam-6379	79	20	of	of	ADP
ejpam-6379	79	21	them	they	PRON
ejpam-6379	79	22	are	be	AUX
ejpam-6379	79	23	hospitalized	hospitalize	VERB
ejpam-6379	79	24	.	.	PUNCT
ejpam-6379	80	1	the	the	DET
ejpam-6379	80	2	recovered	recovered	ADJ
ejpam-6379	80	3	population	population	NOUN
ejpam-6379	80	4	is	be	AUX
ejpam-6379	80	5	increased	increase	VERB
ejpam-6379	80	6	from	from	ADP
ejpam-6379	80	7	classes	class	NOUN
ejpam-6379	80	8	e	e	NOUN
ejpam-6379	80	9	,	,	PUNCT
ejpam-6379	80	10	i	i	PRON
ejpam-6379	80	11	,	,	PUNCT
ejpam-6379	80	12	and	and	CCONJ
ejpam-6379	80	13	h	h	NOUN
ejpam-6379	80	14	at	at	ADP
ejpam-6379	80	15	rates	rate	NOUN
ejpam-6379	80	16	γ1	γ1	PROPN
ejpam-6379	80	17	,	,	PUNCT
ejpam-6379	80	18	γ2	γ2	PROPN
ejpam-6379	80	19	,	,	PUNCT
ejpam-6379	80	20	and	and	CCONJ
ejpam-6379	80	21	γ3	γ3	NOUN
ejpam-6379	80	22	,	,	PUNCT
ejpam-6379	80	23	respectively	respectively	ADV
ejpam-6379	80	24	;	;	PUNCT
ejpam-6379	80	25	and	and	CCONJ
ejpam-6379	80	26	become	become	VERB
ejpam-6379	80	27	susceptible	susceptible	ADJ
ejpam-6379	80	28	again	again	ADV
ejpam-6379	80	29	at	at	ADP
ejpam-6379	80	30	rate	rate	NOUN
ejpam-6379	80	31	ρ	ρ	PROPN
ejpam-6379	80	32	.	.	PROPN
ejpam-6379	81	1	from	from	ADP
ejpam-6379	81	2	the	the	DET
ejpam-6379	81	3	above	above	ADJ
ejpam-6379	81	4	description	description	NOUN
ejpam-6379	81	5	we	we	PRON
ejpam-6379	81	6	derive	derive	VERB
ejpam-6379	81	7	system	system	NOUN
ejpam-6379	81	8	(	(	PUNCT
ejpam-6379	81	9	1	1	NUM
ejpam-6379	81	10	)	)	PUNCT
ejpam-6379	81	11	of	of	ADP
ejpam-6379	81	12	ordinary	ordinary	ADJ
ejpam-6379	81	13	differential	differential	ADJ
ejpam-6379	81	14	equations	equation	NOUN
ejpam-6379	81	15	to	to	PART
ejpam-6379	81	16	mathematically	mathematically	ADV
ejpam-6379	81	17	describe	describe	VERB
ejpam-6379	81	18	the	the	DET
ejpam-6379	81	19	transmission	transmission	NOUN
ejpam-6379	81	20	dynamics	dynamic	NOUN
ejpam-6379	81	21	of	of	ADP
ejpam-6379	81	22	influenza	influenza	NOUN
ejpam-6379	81	23	disease	disease	NOUN
ejpam-6379	81	24	.	.	PUNCT
ejpam-6379	82	1	ds	ds	PRON
ejpam-6379	82	2	dt	dt	NOUN
ejpam-6379	82	3	=	=	PUNCT
ejpam-6379	82	4	λ+	λ+	PUNCT
ejpam-6379	82	5	ρ(v	ρ(v	PROPN
ejpam-6379	82	6	+	+	PROPN
ejpam-6379	82	7	r)−	r)−	PROPN
ejpam-6379	82	8	β	β	X
ejpam-6379	82	9	(	(	PUNCT
ejpam-6379	82	10	e	e	X
ejpam-6379	82	11	+	+	CCONJ
ejpam-6379	82	12	i)(s	i)(s	PRON
ejpam-6379	82	13	+	+	CCONJ
ejpam-6379	82	14	σv	σv	ADJ
ejpam-6379	82	15	)	)	PUNCT
ejpam-6379	82	16	n	n	CCONJ
ejpam-6379	82	17	−	−	PROPN
ejpam-6379	82	18	(	(	PUNCT
ejpam-6379	82	19	α+	α+	X
ejpam-6379	82	20	µ)s	µ)s	X
ejpam-6379	82	21	de	de	X
ejpam-6379	82	22	dt	dt	X
ejpam-6379	82	23	=	=	X
ejpam-6379	82	24	β	β	X
ejpam-6379	82	25	(	(	PUNCT
ejpam-6379	82	26	e	e	NOUN
ejpam-6379	82	27	+	+	CCONJ
ejpam-6379	82	28	i)(s	i)(s	PRON
ejpam-6379	82	29	+	+	CCONJ
ejpam-6379	82	30	σv	σv	ADJ
ejpam-6379	82	31	)	)	PUNCT
ejpam-6379	83	1	n	n	CCONJ
ejpam-6379	83	2	−	−	PROPN
ejpam-6379	83	3	(	(	PUNCT
ejpam-6379	83	4	ω	ω	NOUN
ejpam-6379	83	5	+	+	NUM
ejpam-6379	83	6	γ1	γ1	PROPN
ejpam-6379	83	7	+	+	CCONJ
ejpam-6379	83	8	µ)e	µ)e	NOUN
ejpam-6379	83	9	di	di	X
ejpam-6379	83	10	dt	dt	NOUN
ejpam-6379	83	11	=	=	PUNCT
ejpam-6379	83	12	ωe	ωe	ADV
ejpam-6379	83	13	−	−	PROPN
ejpam-6379	84	1	(	(	PUNCT
ejpam-6379	84	2	γ2	γ2	PROPN
ejpam-6379	84	3	+	+	CCONJ
ejpam-6379	84	4	ϵ+	ϵ+	PUNCT
ejpam-6379	84	5	µ)i	µ)i	X
ejpam-6379	84	6	(	(	PUNCT
ejpam-6379	84	7	1	1	X
ejpam-6379	84	8	)	)	PUNCT
ejpam-6379	84	9	dh	dh	NOUN
ejpam-6379	84	10	dt	dt	NOUN
ejpam-6379	84	11	=	=	SYM
ejpam-6379	84	12	ϵi	ϵi	X
ejpam-6379	85	1	−	−	PROPN
ejpam-6379	85	2	(	(	PUNCT
ejpam-6379	85	3	γ3	γ3	NOUN
ejpam-6379	85	4	+	+	CCONJ
ejpam-6379	85	5	µ)h	µ)h	X
ejpam-6379	85	6	dv	dv	PROPN
ejpam-6379	85	7	dt	dt	X
ejpam-6379	86	1	=	=	PUNCT
ejpam-6379	86	2	αs	αs	INTJ
ejpam-6379	86	3	−	−	PROPN
ejpam-6379	86	4	(	(	PUNCT
ejpam-6379	86	5	ρ+	ρ+	NOUN
ejpam-6379	86	6	σ	σ	X
ejpam-6379	86	7	+	+	NUM
ejpam-6379	86	8	µ)v	µ)v	ADJ
ejpam-6379	86	9	dr	dr	PROPN
ejpam-6379	86	10	dt	dt	NOUN
ejpam-6379	86	11	=	=	PUNCT
ejpam-6379	86	12	γ1e	γ1e	PROPN
ejpam-6379	86	13	+	+	CCONJ
ejpam-6379	86	14	γ2i	γ2i	PROPN
ejpam-6379	86	15	+	+	CCONJ
ejpam-6379	86	16	γ3h	γ3h	PROPN
ejpam-6379	86	17	−	−	PROPN
ejpam-6379	86	18	(	(	PUNCT
ejpam-6379	86	19	ρ+	ρ+	NUM
ejpam-6379	86	20	µ)r	µ)r	SCONJ
ejpam-6379	86	21	r.	r.	PROPN
ejpam-6379	86	22	saadeh	saadeh	PROPN
ejpam-6379	86	23	et	et	PROPN
ejpam-6379	86	24	al	al	PROPN
ejpam-6379	86	25	.	.	PUNCT
ejpam-6379	86	26	/	/	SYM
ejpam-6379	86	27	eur	eur	PROPN
ejpam-6379	86	28	.	.	PUNCT
ejpam-6379	87	1	j.	j.	PROPN
ejpam-6379	87	2	pure	pure	PROPN
ejpam-6379	87	3	appl	appl	PROPN
ejpam-6379	87	4	.	.	PROPN
ejpam-6379	87	5	math	math	PROPN
ejpam-6379	87	6	,	,	PUNCT
ejpam-6379	87	7	18	18	NUM
ejpam-6379	87	8	(	(	PUNCT
ejpam-6379	87	9	3	3	NUM
ejpam-6379	87	10	)	)	PUNCT
ejpam-6379	87	11	(	(	PUNCT
ejpam-6379	87	12	2025	2025	NUM
ejpam-6379	87	13	)	)	PUNCT
ejpam-6379	87	14	,	,	PUNCT
ejpam-6379	87	15	6379	6379	NUM
ejpam-6379	87	16	5	5	NUM
ejpam-6379	87	17	of	of	ADP
ejpam-6379	87	18	34	34	NUM
ejpam-6379	87	19	with	with	ADP
ejpam-6379	87	20	initial	initial	ADJ
ejpam-6379	87	21	conditions	condition	NOUN
ejpam-6379	87	22	s(0	s(0	PROPN
ejpam-6379	87	23	)	)	PUNCT
ejpam-6379	87	24	≥	≥	NOUN
ejpam-6379	87	25	0	0	NUM
ejpam-6379	87	26	,	,	PUNCT
ejpam-6379	87	27	e	e	X
ejpam-6379	87	28	(	(	PUNCT
ejpam-6379	87	29	0	0	NUM
ejpam-6379	87	30	)	)	PUNCT
ejpam-6379	87	31	≥	≥	NOUN
ejpam-6379	87	32	0	0	NUM
ejpam-6379	87	33	,	,	PUNCT
ejpam-6379	87	34	i(0	i(0	PROPN
ejpam-6379	87	35	)	)	PUNCT
ejpam-6379	87	36	≥	≥	NOUN
ejpam-6379	87	37	0	0	NUM
ejpam-6379	87	38	,	,	PUNCT
ejpam-6379	87	39	h(0	h(0	PROPN
ejpam-6379	87	40	)	)	PUNCT
ejpam-6379	87	41	≥	≥	NOUN
ejpam-6379	87	42	0	0	NUM
ejpam-6379	87	43	,	,	PUNCT
ejpam-6379	87	44	v	v	NOUN
ejpam-6379	87	45	(	(	PUNCT
ejpam-6379	87	46	0	0	NUM
ejpam-6379	87	47	)	)	PUNCT
ejpam-6379	87	48	≥	≥	NOUN
ejpam-6379	87	49	0	0	NUM
ejpam-6379	87	50	,	,	PUNCT
ejpam-6379	87	51	r(0	r(0	PROPN
ejpam-6379	87	52	)	)	PUNCT
ejpam-6379	87	53	≥	≥	NOUN
ejpam-6379	87	54	0	0	NUM
ejpam-6379	87	55	.	.	PUNCT
ejpam-6379	87	56	table	table	NOUN
ejpam-6379	87	57	1	1	NUM
ejpam-6379	87	58	:	:	PUNCT
ejpam-6379	87	59	description	description	NOUN
ejpam-6379	87	60	parameters	parameter	NOUN
ejpam-6379	87	61	in	in	ADP
ejpam-6379	87	62	the	the	DET
ejpam-6379	87	63	model	model	NOUN
ejpam-6379	87	64	parameter	parameter	NOUN
ejpam-6379	87	65	description	description	NOUN
ejpam-6379	87	66	λ	λ	PROPN
ejpam-6379	87	67	recruitment	recruitment	NOUN
ejpam-6379	87	68	rate	rate	NOUN
ejpam-6379	87	69	of	of	ADP
ejpam-6379	87	70	individuals	individual	NOUN
ejpam-6379	87	71	into	into	ADP
ejpam-6379	87	72	the	the	DET
ejpam-6379	87	73	population	population	NOUN
ejpam-6379	87	74	µ	µ	PRON
ejpam-6379	87	75	natural	natural	ADJ
ejpam-6379	87	76	death	death	NOUN
ejpam-6379	87	77	rate	rate	NOUN
ejpam-6379	87	78	β	β	X
ejpam-6379	87	79	average	average	ADJ
ejpam-6379	87	80	effective	effective	ADJ
ejpam-6379	87	81	contact	contact	NOUN
ejpam-6379	87	82	rate	rate	NOUN
ejpam-6379	87	83	α	α	NOUN
ejpam-6379	87	84	vaccination	vaccination	NOUN
ejpam-6379	87	85	rate	rate	NOUN
ejpam-6379	87	86	σ	σ	PROPN
ejpam-6379	87	87	vaccine	vaccine	NOUN
ejpam-6379	87	88	inefficacy	inefficacy	NOUN
ejpam-6379	87	89	ϵ	ϵ	PRON
ejpam-6379	87	90	fraction	fraction	NOUN
ejpam-6379	87	91	of	of	ADP
ejpam-6379	87	92	infected	infect	VERB
ejpam-6379	87	93	individuals	individual	NOUN
ejpam-6379	87	94	who	who	PRON
ejpam-6379	87	95	hospitalized	hospitalize	VERB
ejpam-6379	87	96	γ1	γ1	PROPN
ejpam-6379	87	97	recovery	recovery	NOUN
ejpam-6379	87	98	rate	rate	NOUN
ejpam-6379	87	99	for	for	ADP
ejpam-6379	87	100	exposed	expose	VERB
ejpam-6379	87	101	individuals	individual	NOUN
ejpam-6379	87	102	γ2	γ2	PROPN
ejpam-6379	87	103	recovery	recovery	NOUN
ejpam-6379	87	104	rate	rate	NOUN
ejpam-6379	87	105	for	for	ADP
ejpam-6379	87	106	infected	infected	ADJ
ejpam-6379	87	107	individuals	individual	NOUN
ejpam-6379	87	108	γ3	γ3	NOUN
ejpam-6379	87	109	recovery	recovery	NOUN
ejpam-6379	87	110	rate	rate	NOUN
ejpam-6379	87	111	for	for	ADP
ejpam-6379	87	112	hospitalized	hospitalize	VERB
ejpam-6379	87	113	individuals	individual	NOUN
ejpam-6379	87	114	1	1	NUM
ejpam-6379	87	115	ω	ω	NUM
ejpam-6379	87	116	average	average	ADJ
ejpam-6379	87	117	latent	latent	NOUN
ejpam-6379	87	118	or	or	CCONJ
ejpam-6379	87	119	incubation	incubation	NOUN
ejpam-6379	87	120	period	period	NOUN
ejpam-6379	87	121	ρ	ρ	NOUN
ejpam-6379	87	122	rate	rate	NOUN
ejpam-6379	87	123	at	at	ADP
ejpam-6379	87	124	which	which	PRON
ejpam-6379	87	125	individuals	individual	NOUN
ejpam-6379	87	126	lose	lose	VERB
ejpam-6379	87	127	immunity	immunity	NOUN
ejpam-6379	87	128	the	the	DET
ejpam-6379	87	129	stochastic	stochastic	ADJ
ejpam-6379	87	130	differential	differential	ADJ
ejpam-6379	87	131	equation	equation	NOUN
ejpam-6379	87	132	model	model	NOUN
ejpam-6379	87	133	(	(	PUNCT
ejpam-6379	87	134	2	2	NUM
ejpam-6379	87	135	)	)	PUNCT
ejpam-6379	87	136	correspondence	correspondence	NOUN
ejpam-6379	87	137	of	of	ADP
ejpam-6379	87	138	the	the	DET
ejpam-6379	87	139	deterministic	deterministic	ADJ
ejpam-6379	87	140	model	model	NOUN
ejpam-6379	87	141	(	(	PUNCT
ejpam-6379	87	142	1	1	X
ejpam-6379	87	143	)	)	PUNCT
ejpam-6379	87	144	is	be	AUX
ejpam-6379	87	145	given	give	VERB
ejpam-6379	87	146	by	by	ADP
ejpam-6379	87	147	ds(t	ds(t	NOUN
ejpam-6379	87	148	)	)	PUNCT
ejpam-6379	87	149	=	=	NOUN
ejpam-6379	87	150	(	(	PUNCT
ejpam-6379	87	151	λ+	λ+	PUNCT
ejpam-6379	87	152	ρ(v	ρ(v	PROPN
ejpam-6379	87	153	+	+	PROPN
ejpam-6379	87	154	r)−	r)−	PROPN
ejpam-6379	87	155	β	β	X
ejpam-6379	87	156	(	(	PUNCT
ejpam-6379	87	157	e	e	X
ejpam-6379	87	158	+	+	CCONJ
ejpam-6379	87	159	i)(s	i)(s	PRON
ejpam-6379	87	160	+	+	CCONJ
ejpam-6379	87	161	σv	σv	ADJ
ejpam-6379	87	162	)	)	PUNCT
ejpam-6379	87	163	n	n	CCONJ
ejpam-6379	87	164	−	−	PROPN
ejpam-6379	87	165	(	(	PUNCT
ejpam-6379	87	166	α+	α+	NOUN
ejpam-6379	87	167	µ)s	µ)s	NOUN
ejpam-6379	87	168	)	)	PUNCT
ejpam-6379	87	169	dt	dt	PUNCT
ejpam-6379	88	1	+	+	NOUN
ejpam-6379	88	2	δ1	δ1	NOUN
ejpam-6379	88	3	s(t	s(t	PROPN
ejpam-6379	88	4	)	)	PUNCT
ejpam-6379	88	5	db1(t	db1(t	PROPN
ejpam-6379	88	6	)	)	PUNCT
ejpam-6379	88	7	de(t	de(t	NUM
ejpam-6379	88	8	)	)	PUNCT
ejpam-6379	89	1	=	=	SYM
ejpam-6379	90	1	(	(	PUNCT
ejpam-6379	90	2	β	β	X
ejpam-6379	90	3	(	(	PUNCT
ejpam-6379	90	4	e	e	NOUN
ejpam-6379	90	5	+	+	CCONJ
ejpam-6379	90	6	i)(s	i)(s	PRON
ejpam-6379	90	7	+	+	CCONJ
ejpam-6379	90	8	σv	σv	ADJ
ejpam-6379	90	9	)	)	PUNCT
ejpam-6379	90	10	n	n	CCONJ
ejpam-6379	90	11	−	−	PROPN
ejpam-6379	90	12	(	(	PUNCT
ejpam-6379	90	13	ω	ω	NOUN
ejpam-6379	90	14	+	+	NUM
ejpam-6379	90	15	γ1	γ1	NOUN
ejpam-6379	90	16	+	+	CCONJ
ejpam-6379	90	17	µ)e	µ)e	NOUN
ejpam-6379	90	18	)	)	PUNCT
ejpam-6379	90	19	dt+	dt+	NOUN
ejpam-6379	90	20	δ2e(t	δ2e(t	ADV
ejpam-6379	90	21	)	)	PUNCT
ejpam-6379	90	22	db2(t	db2(t	PROPN
ejpam-6379	90	23	)	)	PUNCT
ejpam-6379	90	24	di(t	di(t	NUM
ejpam-6379	90	25	)	)	PUNCT
ejpam-6379	91	1	=	=	SYM
ejpam-6379	91	2	(	(	PUNCT
ejpam-6379	91	3	ωe	ωe	ADV
ejpam-6379	91	4	−	−	PROPN
ejpam-6379	91	5	(	(	PUNCT
ejpam-6379	91	6	γ2	γ2	NOUN
ejpam-6379	91	7	+	+	CCONJ
ejpam-6379	91	8	ϵ+	ϵ+	NOUN
ejpam-6379	91	9	µ)i	µ)i	ADJ
ejpam-6379	91	10	)	)	PUNCT
ejpam-6379	91	11	dt+	dt+	NOUN
ejpam-6379	91	12	δ3	δ3	PROPN
ejpam-6379	91	13	i(t	i(t	PROPN
ejpam-6379	91	14	)	)	PUNCT
ejpam-6379	91	15	db3(t	db3(t	PROPN
ejpam-6379	91	16	)	)	PUNCT
ejpam-6379	91	17	(	(	PUNCT
ejpam-6379	91	18	2	2	NUM
ejpam-6379	91	19	)	)	PUNCT
ejpam-6379	91	20	dh(t	dh(t	NUM
ejpam-6379	91	21	)	)	PUNCT
ejpam-6379	91	22	=	=	SYM
ejpam-6379	92	1	(	(	PUNCT
ejpam-6379	92	2	ϵi	ϵi	X
ejpam-6379	92	3	−	−	PROPN
ejpam-6379	92	4	(	(	PUNCT
ejpam-6379	92	5	γ3	γ3	NOUN
ejpam-6379	92	6	+	+	CCONJ
ejpam-6379	92	7	µ)h	µ)h	ADJ
ejpam-6379	92	8	)	)	PUNCT
ejpam-6379	92	9	dt+	dt+	NOUN
ejpam-6379	92	10	δ4h(t	δ4h(t	X
ejpam-6379	92	11	)	)	PUNCT
ejpam-6379	92	12	db4(t	db4(t	PROPN
ejpam-6379	92	13	)	)	PUNCT
ejpam-6379	92	14	dv	dv	PROPN
ejpam-6379	92	15	(	(	PUNCT
ejpam-6379	92	16	t	t	PROPN
ejpam-6379	92	17	)	)	PUNCT
ejpam-6379	92	18	=	=	PUNCT
ejpam-6379	92	19	(	(	PUNCT
ejpam-6379	92	20	αs	αs	INTJ
ejpam-6379	92	21	−	−	PROPN
ejpam-6379	92	22	(	(	PUNCT
ejpam-6379	92	23	ρ+	ρ+	NOUN
ejpam-6379	92	24	σ	σ	X
ejpam-6379	92	25	+	+	NOUN
ejpam-6379	92	26	µ)v	µ)v	ADJ
ejpam-6379	92	27	)	)	PUNCT
ejpam-6379	92	28	dt+	dt+	NOUN
ejpam-6379	92	29	δ5	δ5	NOUN
ejpam-6379	92	30	v	v	NOUN
ejpam-6379	92	31	(	(	PUNCT
ejpam-6379	92	32	t	t	PROPN
ejpam-6379	92	33	)	)	PUNCT
ejpam-6379	92	34	db5(t	db5(t	NOUN
ejpam-6379	92	35	)	)	PUNCT
ejpam-6379	92	36	dr(t	dr(t	PUNCT
ejpam-6379	92	37	)	)	PUNCT
ejpam-6379	92	38	=	=	SYM
ejpam-6379	92	39	(	(	PUNCT
ejpam-6379	92	40	γ1e	γ1e	PROPN
ejpam-6379	92	41	+	+	CCONJ
ejpam-6379	92	42	γ2i	γ2i	PROPN
ejpam-6379	92	43	+	+	CCONJ
ejpam-6379	92	44	γ3h	γ3h	PROPN
ejpam-6379	92	45	−	−	PROPN
ejpam-6379	92	46	(	(	PUNCT
ejpam-6379	92	47	ρ+	ρ+	NUM
ejpam-6379	92	48	µ)r	µ)r	ADJ
ejpam-6379	92	49	)	)	PUNCT
ejpam-6379	92	50	dt+	dt+	NOUN
ejpam-6379	92	51	δ6r(t	δ6r(t	NOUN
ejpam-6379	92	52	)	)	PUNCT
ejpam-6379	92	53	db6(t	db6(t	PROPN
ejpam-6379	92	54	)	)	PUNCT
ejpam-6379	92	55	where	where	SCONJ
ejpam-6379	92	56	b1(t	b1(t	NOUN
ejpam-6379	92	57	)	)	PUNCT
ejpam-6379	92	58	,	,	PUNCT
ejpam-6379	92	59	b2(t	b2(t	PROPN
ejpam-6379	92	60	)	)	PUNCT
ejpam-6379	92	61	,	,	PUNCT
ejpam-6379	92	62	b3(t	b3(t	PROPN
ejpam-6379	92	63	)	)	PUNCT
ejpam-6379	92	64	,	,	PUNCT
ejpam-6379	92	65	b4(t	b4(t	PROPN
ejpam-6379	92	66	)	)	PUNCT
ejpam-6379	92	67	,	,	PUNCT
ejpam-6379	92	68	b5(t	b5(t	NOUN
ejpam-6379	92	69	)	)	PUNCT
ejpam-6379	92	70	,	,	PUNCT
ejpam-6379	92	71	b6(t	b6(t	NOUN
ejpam-6379	92	72	)	)	PUNCT
ejpam-6379	92	73	as	as	ADP
ejpam-6379	92	74	independent	independent	ADJ
ejpam-6379	92	75	standard	standard	ADJ
ejpam-6379	92	76	brownian	brownian	ADJ
ejpam-6379	92	77	motions	motion	NOUN
ejpam-6379	92	78	,	,	PUNCT
ejpam-6379	92	79	and	and	CCONJ
ejpam-6379	92	80	δ1	δ1	NOUN
ejpam-6379	92	81	,	,	PUNCT
ejpam-6379	92	82	δ2	δ2	VERB
ejpam-6379	92	83	,	,	PUNCT
ejpam-6379	92	84	δ3	δ3	PROPN
ejpam-6379	92	85	,	,	PUNCT
ejpam-6379	92	86	δ4	δ4	NOUN
ejpam-6379	92	87	,	,	PUNCT
ejpam-6379	92	88	δ5	δ5	NOUN
ejpam-6379	92	89	,	,	PUNCT
ejpam-6379	92	90	δ6	δ6	NOUN
ejpam-6379	92	91	as	as	ADP
ejpam-6379	92	92	the	the	DET
ejpam-6379	92	93	intensities	intensity	NOUN
ejpam-6379	92	94	of	of	ADP
ejpam-6379	92	95	the	the	DET
ejpam-6379	92	96	standard	standard	ADJ
ejpam-6379	92	97	gaussian	gaussian	ADJ
ejpam-6379	92	98	white	white	ADJ
ejpam-6379	92	99	noises	noise	NOUN
ejpam-6379	92	100	,	,	PUNCT
ejpam-6379	92	101	respectively	respectively	ADV
ejpam-6379	92	102	.	.	PUNCT
ejpam-6379	93	1	3	3	X
ejpam-6379	93	2	.	.	X
ejpam-6379	93	3	analysis	analysis	NOUN
ejpam-6379	93	4	of	of	ADP
ejpam-6379	93	5	the	the	DET
ejpam-6379	93	6	model	model	NOUN
ejpam-6379	93	7	3.1	3.1	NUM
ejpam-6379	93	8	.	.	PUNCT
ejpam-6379	94	1	existence	existence	NOUN
ejpam-6379	94	2	and	and	CCONJ
ejpam-6379	94	3	uniqueness	uniqueness	NOUN
ejpam-6379	94	4	of	of	ADP
ejpam-6379	94	5	solution	solution	NOUN
ejpam-6379	94	6	to	to	ADP
ejpam-6379	94	7	the	the	DET
ejpam-6379	94	8	stochastic	stochastic	ADJ
ejpam-6379	94	9	model	model	NOUN
ejpam-6379	94	10	this	this	DET
ejpam-6379	94	11	section	section	NOUN
ejpam-6379	94	12	discusses	discuss	VERB
ejpam-6379	94	13	the	the	DET
ejpam-6379	94	14	existence	existence	NOUN
ejpam-6379	94	15	and	and	CCONJ
ejpam-6379	94	16	uniqueness	uniqueness	NOUN
ejpam-6379	94	17	of	of	ADP
ejpam-6379	94	18	solution	solution	NOUN
ejpam-6379	94	19	of	of	ADP
ejpam-6379	94	20	the	the	DET
ejpam-6379	94	21	proposed	propose	VERB
ejpam-6379	94	22	stochastic	stochastic	NOUN
ejpam-6379	94	23	model	model	NOUN
ejpam-6379	94	24	(	(	PUNCT
ejpam-6379	94	25	2	2	NUM
ejpam-6379	94	26	)	)	PUNCT
ejpam-6379	94	27	.	.	PUNCT
ejpam-6379	95	1	lemma	lemma	PROPN
ejpam-6379	95	2	1	1	NUM
ejpam-6379	95	3	.	.	PUNCT
ejpam-6379	96	1	(	(	PUNCT
ejpam-6379	96	2	[	[	X
ejpam-6379	96	3	39	39	NUM
ejpam-6379	96	4	]	]	PUNCT
ejpam-6379	96	5	)	)	PUNCT
ejpam-6379	96	6	for	for	ADP
ejpam-6379	96	7	any	any	DET
ejpam-6379	96	8	initial	initial	ADJ
ejpam-6379	96	9	condition	condition	NOUN
ejpam-6379	96	10	(	(	PUNCT
ejpam-6379	96	11	s(0	s(0	PROPN
ejpam-6379	96	12	)	)	PUNCT
ejpam-6379	96	13	,	,	PUNCT
ejpam-6379	96	14	e(0	e(0	NOUN
ejpam-6379	96	15	)	)	PUNCT
ejpam-6379	96	16	,	,	PUNCT
ejpam-6379	96	17	i(0	i(0	PROPN
ejpam-6379	96	18	)	)	PUNCT
ejpam-6379	96	19	,	,	PUNCT
ejpam-6379	96	20	h(0	h(0	PROPN
ejpam-6379	96	21	)	)	PUNCT
ejpam-6379	96	22	,	,	PUNCT
ejpam-6379	96	23	v	v	X
ejpam-6379	96	24	(	(	PUNCT
ejpam-6379	96	25	0	0	NUM
ejpam-6379	96	26	)	)	PUNCT
ejpam-6379	96	27	,	,	PUNCT
ejpam-6379	96	28	r(0	r(0	PROPN
ejpam-6379	96	29	)	)	PUNCT
ejpam-6379	96	30	)	)	PUNCT
ejpam-6379	97	1	∈	∈	PROPN
ejpam-6379	97	2	r6	r6	NOUN
ejpam-6379	97	3	+	+	CCONJ
ejpam-6379	97	4	,	,	PUNCT
ejpam-6379	97	5	there	there	PRON
ejpam-6379	97	6	exists	exist	VERB
ejpam-6379	97	7	a	a	DET
ejpam-6379	97	8	unique	unique	ADJ
ejpam-6379	97	9	solution	solution	NOUN
ejpam-6379	97	10	(	(	PUNCT
ejpam-6379	97	11	s(t	s(t	PROPN
ejpam-6379	97	12	)	)	PUNCT
ejpam-6379	97	13	,	,	PUNCT
ejpam-6379	97	14	e(t	e(t	NOUN
ejpam-6379	97	15	)	)	PUNCT
ejpam-6379	97	16	,	,	PUNCT
ejpam-6379	97	17	i(t	i(t	PROPN
ejpam-6379	97	18	)	)	PUNCT
ejpam-6379	97	19	,	,	PUNCT
ejpam-6379	97	20	h(t	h(t	PROPN
ejpam-6379	97	21	)	)	PUNCT
ejpam-6379	97	22	,	,	PUNCT
ejpam-6379	97	23	v	v	X
ejpam-6379	97	24	(	(	PUNCT
ejpam-6379	97	25	t	t	NOUN
ejpam-6379	97	26	)	)	PUNCT
ejpam-6379	97	27	,	,	PUNCT
ejpam-6379	97	28	r(t	r(t	NOUN
ejpam-6379	97	29	)	)	PUNCT
ejpam-6379	97	30	)	)	PUNCT
ejpam-6379	97	31	of	of	ADP
ejpam-6379	97	32	stochastic	stochastic	ADJ
ejpam-6379	97	33	model	model	NOUN
ejpam-6379	97	34	(	(	PUNCT
ejpam-6379	97	35	2	2	NUM
ejpam-6379	97	36	)	)	PUNCT
ejpam-6379	97	37	on	on	ADP
ejpam-6379	97	38	t	t	PROPN
ejpam-6379	97	39	≥	≥	PROPN
ejpam-6379	97	40	0	0	NUM
ejpam-6379	97	41	,	,	PUNCT
ejpam-6379	97	42	which	which	PRON
ejpam-6379	97	43	remains	remain	VERB
ejpam-6379	97	44	in	in	ADP
ejpam-6379	97	45	r6	r6	NOUN
ejpam-6379	97	46	+	+	CCONJ
ejpam-6379	97	47	with	with	ADP
ejpam-6379	97	48	probability	probability	NOUN
ejpam-6379	97	49	one	one	NUM
ejpam-6379	97	50	for	for	ADP
ejpam-6379	97	51	all	all	DET
ejpam-6379	97	52	t	t	PROPN
ejpam-6379	97	53	≥	≥	NOUN
ejpam-6379	97	54	0	0	NUM
ejpam-6379	97	55	.	.	PUNCT
ejpam-6379	98	1	r.	r.	PROPN
ejpam-6379	98	2	saadeh	saadeh	PROPN
ejpam-6379	98	3	et	et	PROPN
ejpam-6379	98	4	al	al	PROPN
ejpam-6379	98	5	.	.	PUNCT
ejpam-6379	98	6	/	/	SYM
ejpam-6379	98	7	eur	eur	PROPN
ejpam-6379	98	8	.	.	PUNCT
ejpam-6379	99	1	j.	j.	PROPN
ejpam-6379	99	2	pure	pure	PROPN
ejpam-6379	99	3	appl	appl	PROPN
ejpam-6379	99	4	.	.	PROPN
ejpam-6379	99	5	math	math	PROPN
ejpam-6379	99	6	,	,	PUNCT
ejpam-6379	99	7	18	18	NUM
ejpam-6379	99	8	(	(	PUNCT
ejpam-6379	99	9	3	3	NUM
ejpam-6379	99	10	)	)	PUNCT
ejpam-6379	99	11	(	(	PUNCT
ejpam-6379	99	12	2025	2025	NUM
ejpam-6379	99	13	)	)	PUNCT
ejpam-6379	99	14	,	,	PUNCT
ejpam-6379	99	15	6379	6379	NUM
ejpam-6379	99	16	6	6	NUM
ejpam-6379	99	17	of	of	ADP
ejpam-6379	99	18	34	34	NUM
ejpam-6379	99	19	proof	proof	NOUN
ejpam-6379	99	20	.	.	PUNCT
ejpam-6379	100	1	as	as	ADP
ejpam-6379	100	2	for	for	ADP
ejpam-6379	100	3	initial	initial	ADJ
ejpam-6379	100	4	condition	condition	NOUN
ejpam-6379	100	5	of	of	ADP
ejpam-6379	100	6	the	the	DET
ejpam-6379	100	7	state	state	NOUN
ejpam-6379	100	8	variables	variable	NOUN
ejpam-6379	100	9	(	(	PUNCT
ejpam-6379	100	10	s(0	s(0	PROPN
ejpam-6379	100	11	)	)	PUNCT
ejpam-6379	100	12	,	,	PUNCT
ejpam-6379	100	13	e(0	e(0	NOUN
ejpam-6379	100	14	)	)	PUNCT
ejpam-6379	100	15	,	,	PUNCT
ejpam-6379	100	16	i(0	i(0	PROPN
ejpam-6379	100	17	)	)	PUNCT
ejpam-6379	100	18	,	,	PUNCT
ejpam-6379	100	19	h(0	h(0	PROPN
ejpam-6379	100	20	)	)	PUNCT
ejpam-6379	100	21	,	,	PUNCT
ejpam-6379	100	22	v	v	X
ejpam-6379	100	23	(	(	PUNCT
ejpam-6379	100	24	0	0	NUM
ejpam-6379	100	25	)	)	PUNCT
ejpam-6379	100	26	,	,	PUNCT
ejpam-6379	100	27	r(0	r(0	PROPN
ejpam-6379	100	28	)	)	PUNCT
ejpam-6379	100	29	)	)	PUNCT
ejpam-6379	101	1	∈	∈	PROPN
ejpam-6379	101	2	r6	r6	NOUN
ejpam-6379	101	3	+	+	PROPN
ejpam-6379	101	4	,	,	PUNCT
ejpam-6379	101	5	the	the	DET
ejpam-6379	101	6	coefficients	coefficient	NOUN
ejpam-6379	101	7	used	use	VERB
ejpam-6379	101	8	in	in	ADP
ejpam-6379	101	9	equations	equation	NOUN
ejpam-6379	101	10	are	be	AUX
ejpam-6379	101	11	continuous	continuous	ADJ
ejpam-6379	101	12	and	and	CCONJ
ejpam-6379	101	13	local	local	ADJ
ejpam-6379	101	14	lipschitz	lipschitz	NOUN
ejpam-6379	101	15	condition	condition	NOUN
ejpam-6379	101	16	.	.	PUNCT
ejpam-6379	102	1	hence	hence	ADV
ejpam-6379	102	2	,	,	PUNCT
ejpam-6379	102	3	there	there	PRON
ejpam-6379	102	4	must	must	AUX
ejpam-6379	102	5	exists	exist	VERB
ejpam-6379	102	6	a	a	DET
ejpam-6379	102	7	local	local	ADJ
ejpam-6379	102	8	unique	unique	ADJ
ejpam-6379	102	9	solution	solution	NOUN
ejpam-6379	102	10	(	(	PUNCT
ejpam-6379	102	11	s(t	s(t	PROPN
ejpam-6379	102	12	)	)	PUNCT
ejpam-6379	102	13	,	,	PUNCT
ejpam-6379	102	14	e(t	e(t	NOUN
ejpam-6379	102	15	)	)	PUNCT
ejpam-6379	102	16	,	,	PUNCT
ejpam-6379	102	17	i(t	i(t	PROPN
ejpam-6379	102	18	)	)	PUNCT
ejpam-6379	102	19	,	,	PUNCT
ejpam-6379	102	20	h(t	h(t	PROPN
ejpam-6379	102	21	)	)	PUNCT
ejpam-6379	102	22	,	,	PUNCT
ejpam-6379	102	23	v	v	X
ejpam-6379	102	24	(	(	PUNCT
ejpam-6379	102	25	t	t	NOUN
ejpam-6379	102	26	)	)	PUNCT
ejpam-6379	102	27	,	,	PUNCT
ejpam-6379	102	28	r(t	r(t	NOUN
ejpam-6379	102	29	)	)	PUNCT
ejpam-6379	102	30	)	)	PUNCT
ejpam-6379	102	31	of	of	ADP
ejpam-6379	102	32	the	the	DET
ejpam-6379	102	33	stochastic	stochastic	ADJ
ejpam-6379	102	34	model	model	NOUN
ejpam-6379	102	35	(	(	PUNCT
ejpam-6379	102	36	2	2	NUM
ejpam-6379	102	37	)	)	PUNCT
ejpam-6379	102	38	over	over	ADP
ejpam-6379	102	39	t	t	PROPN
ejpam-6379	102	40	∈	∈	PROPN
ejpam-6379	103	1	[	[	X
ejpam-6379	103	2	o	o	NOUN
ejpam-6379	103	3	,	,	PUNCT
ejpam-6379	103	4	τe	τe	NOUN
ejpam-6379	103	5	)	)	PUNCT
ejpam-6379	103	6	,	,	PUNCT
ejpam-6379	103	7	τe	τe	ADP
ejpam-6379	103	8	is	be	AUX
ejpam-6379	103	9	the	the	DET
ejpam-6379	103	10	explosion	explosion	NOUN
ejpam-6379	103	11	time	time	NOUN
ejpam-6379	103	12	.	.	PUNCT
ejpam-6379	104	1	in	in	ADP
ejpam-6379	104	2	order	order	NOUN
ejpam-6379	104	3	to	to	PART
ejpam-6379	104	4	prove	prove	VERB
ejpam-6379	104	5	that	that	SCONJ
ejpam-6379	104	6	the	the	DET
ejpam-6379	104	7	solution	solution	NOUN
ejpam-6379	104	8	is	be	AUX
ejpam-6379	104	9	global	global	ADJ
ejpam-6379	104	10	,	,	PUNCT
ejpam-6379	104	11	we	we	PRON
ejpam-6379	104	12	only	only	ADV
ejpam-6379	104	13	need	need	VERB
ejpam-6379	104	14	to	to	PART
ejpam-6379	104	15	prove	prove	VERB
ejpam-6379	104	16	that	that	SCONJ
ejpam-6379	104	17	τe	τe	ADP
ejpam-6379	104	18	=	=	SYM
ejpam-6379	104	19	∞	∞	NUM
ejpam-6379	104	20	a.s	a.s	PROPN
ejpam-6379	104	21	.	.	PROPN
ejpam-6379	104	22	assume	assume	VERB
ejpam-6379	104	23	that	that	SCONJ
ejpam-6379	104	24	we	we	PRON
ejpam-6379	104	25	suppose	suppose	VERB
ejpam-6379	104	26	that	that	SCONJ
ejpam-6379	104	27	there	there	PRON
ejpam-6379	104	28	exists	exist	VERB
ejpam-6379	104	29	z0	z0	PROPN
ejpam-6379	104	30	such	such	ADJ
ejpam-6379	104	31	that	that	SCONJ
ejpam-6379	104	32	all	all	PRON
ejpam-6379	104	33	of	of	ADP
ejpam-6379	104	34	the	the	DET
ejpam-6379	104	35	initial	initial	ADJ
ejpam-6379	104	36	conditions	condition	NOUN
ejpam-6379	104	37	on	on	ADP
ejpam-6379	104	38	the	the	DET
ejpam-6379	104	39	state	state	NOUN
ejpam-6379	104	40	lie	lie	NOUN
ejpam-6379	104	41	within	within	ADP
ejpam-6379	104	42	{	{	PUNCT
ejpam-6379	104	43	1	1	NUM
ejpam-6379	104	44	z0	z0	PROPN
ejpam-6379	104	45	,	,	PUNCT
ejpam-6379	104	46	z0	z0	PROPN
ejpam-6379	104	47	}	}	PUNCT
ejpam-6379	104	48	l̇et	l̇et	VERB
ejpam-6379	104	49	us	we	PRON
ejpam-6379	104	50	define	define	VERB
ejpam-6379	104	51	for	for	ADP
ejpam-6379	104	52	each	each	DET
ejpam-6379	104	53	positive	positive	ADJ
ejpam-6379	104	54	integer	integer	NOUN
ejpam-6379	104	55	z	z	PROPN
ejpam-6379	104	56	≥	≥	NOUN
ejpam-6379	104	57	z0	z0	PROPN
ejpam-6379	104	58	,	,	PUNCT
ejpam-6379	104	59	define	define	VERB
ejpam-6379	104	60	the	the	DET
ejpam-6379	104	61	finishing	finishing	ADJ
ejpam-6379	104	62	time	time	NOUN
ejpam-6379	104	63	as	as	SCONJ
ejpam-6379	104	64	follows	follow	VERB
ejpam-6379	104	65	τz	τz	ADP
ejpam-6379	104	66	=	=	PUNCT
ejpam-6379	104	67	{	{	PUNCT
ejpam-6379	104	68	t	t	PROPN
ejpam-6379	104	69	∈	∈	PROPN
ejpam-6379	105	1	[	[	X
ejpam-6379	105	2	o	o	NOUN
ejpam-6379	105	3	,	,	PUNCT
ejpam-6379	105	4	τe	τe	NOUN
ejpam-6379	105	5	)	)	PUNCT
ejpam-6379	105	6	:	:	PUNCT
ejpam-6379	105	7	min{s	min{s	PROPN
ejpam-6379	105	8	,	,	PUNCT
ejpam-6379	105	9	e	e	NOUN
ejpam-6379	105	10	,	,	PUNCT
ejpam-6379	105	11	i	i	PRON
ejpam-6379	105	12	,	,	PUNCT
ejpam-6379	105	13	h	h	PROPN
ejpam-6379	105	14	,	,	PUNCT
ejpam-6379	105	15	v	v	NOUN
ejpam-6379	105	16	,	,	PUNCT
ejpam-6379	105	17	r	r	NOUN
ejpam-6379	105	18	}	}	PUNCT
ejpam-6379	105	19	≤	≤	NUM
ejpam-6379	105	20	1	1	NUM
ejpam-6379	105	21	z	z	NOUN
ejpam-6379	105	22	or	or	CCONJ
ejpam-6379	105	23	max{s	max{	NOUN
ejpam-6379	105	24	,	,	PUNCT
ejpam-6379	105	25	e	e	NOUN
ejpam-6379	105	26	,	,	PUNCT
ejpam-6379	105	27	i	i	PRON
ejpam-6379	105	28	,	,	PUNCT
ejpam-6379	105	29	h	h	PROPN
ejpam-6379	105	30	,	,	PUNCT
ejpam-6379	105	31	v	v	NOUN
ejpam-6379	105	32	,	,	PUNCT
ejpam-6379	105	33	r	r	NOUN
ejpam-6379	105	34	}	}	PUNCT
ejpam-6379	105	35	≥	≥	NOUN
ejpam-6379	105	36	z	z	NOUN
ejpam-6379	105	37	}	}	PUNCT
ejpam-6379	105	38	let	let	VERB
ejpam-6379	105	39	inf	inf	PROPN
ejpam-6379	105	40	ϕ	ϕ	NOUN
ejpam-6379	105	41	=	=	PUNCT
ejpam-6379	105	42	∞	∞	PROPN
ejpam-6379	105	43	where	where	SCONJ
ejpam-6379	105	44	ϕ	ϕ	PROPN
ejpam-6379	105	45	denotes	denote	VERB
ejpam-6379	105	46	the	the	DET
ejpam-6379	105	47	null	null	ADJ
ejpam-6379	105	48	set	set	NOUN
ejpam-6379	105	49	.	.	PUNCT
ejpam-6379	106	1	definition	definition	NOUN
ejpam-6379	106	2	of	of	ADP
ejpam-6379	106	3	τz	τz	ADP
ejpam-6379	106	4	and	and	CCONJ
ejpam-6379	106	5	as	as	ADP
ejpam-6379	106	6	z	z	PROPN
ejpam-6379	106	7	→	→	SYM
ejpam-6379	106	8	∞	∞	PROPN
ejpam-6379	106	9	,	,	PUNCT
ejpam-6379	106	10	we	we	PRON
ejpam-6379	106	11	say	say	VERB
ejpam-6379	106	12	that	that	SCONJ
ejpam-6379	106	13	it	it	PRON
ejpam-6379	106	14	is	be	AUX
ejpam-6379	106	15	increasing	increase	VERB
ejpam-6379	106	16	.	.	PUNCT
ejpam-6379	107	1	assume	assume	VERB
ejpam-6379	107	2	τ∞	τ∞	NOUN
ejpam-6379	107	3	=	=	SYM
ejpam-6379	107	4	limz→∞	limz→∞	PROPN
ejpam-6379	107	5	τz	τz	VERB
ejpam-6379	107	6	,	,	PUNCT
ejpam-6379	107	7	obviously	obviously	ADV
ejpam-6379	107	8	τ∞	τ∞	PUNCT
ejpam-6379	107	9	≤	≤	X
ejpam-6379	107	10	τe	τe	ADP
ejpam-6379	108	1	a.s	a.s	PROPN
ejpam-6379	108	2	.	.	PUNCT
ejpam-6379	109	1	upon	upon	SCONJ
ejpam-6379	109	2	showing	show	VERB
ejpam-6379	109	3	τ∞	τ∞	NOUN
ejpam-6379	109	4	=	=	SYM
ejpam-6379	109	5	∞	∞	NUM
ejpam-6379	109	6	a.s	a.s	PROPN
ejpam-6379	109	7	.	.	PROPN
ejpam-6379	109	8	,	,	PUNCT
ejpam-6379	109	9	we	we	PRON
ejpam-6379	109	10	suppose	suppose	VERB
ejpam-6379	109	11	that	that	SCONJ
ejpam-6379	109	12	τe	τe	ADP
ejpam-6379	109	13	=	=	SYM
ejpam-6379	109	14	∞	∞	PROPN
ejpam-6379	109	15	and	and	CCONJ
ejpam-6379	109	16	hence	hence	ADV
ejpam-6379	109	17	(	(	PUNCT
ejpam-6379	109	18	s(t	s(t	PROPN
ejpam-6379	109	19	)	)	PUNCT
ejpam-6379	109	20	,	,	PUNCT
ejpam-6379	109	21	e(t	e(t	NOUN
ejpam-6379	109	22	)	)	PUNCT
ejpam-6379	109	23	,	,	PUNCT
ejpam-6379	109	24	i(t	i(t	PROPN
ejpam-6379	109	25	)	)	PUNCT
ejpam-6379	109	26	,	,	PUNCT
ejpam-6379	109	27	h(t	h(t	PROPN
ejpam-6379	109	28	)	)	PUNCT
ejpam-6379	109	29	,	,	PUNCT
ejpam-6379	109	30	v	v	X
ejpam-6379	109	31	(	(	PUNCT
ejpam-6379	109	32	t	t	NOUN
ejpam-6379	109	33	)	)	PUNCT
ejpam-6379	109	34	,	,	PUNCT
ejpam-6379	109	35	r(t	r(t	NOUN
ejpam-6379	109	36	)	)	PUNCT
ejpam-6379	109	37	)	)	PUNCT
ejpam-6379	109	38	will	will	AUX
ejpam-6379	109	39	lie	lie	VERB
ejpam-6379	109	40	in	in	ADP
ejpam-6379	109	41	∈	∈	PROPN
ejpam-6379	109	42	r6	r6	NOUN
ejpam-6379	109	43	+	+	X
ejpam-6379	109	44	a.s	a.s	PROPN
ejpam-6379	109	45	.	.	PROPN
ejpam-6379	109	46	∀t	∀t	PROPN
ejpam-6379	109	47	≥	≥	PROPN
ejpam-6379	109	48	0	0	NUM
ejpam-6379	109	49	.	.	PUNCT
ejpam-6379	110	1	hence	hence	ADV
ejpam-6379	110	2	,	,	PUNCT
ejpam-6379	110	3	it	it	PRON
ejpam-6379	110	4	is	be	AUX
ejpam-6379	110	5	sufficient	sufficient	ADJ
ejpam-6379	110	6	to	to	PART
ejpam-6379	110	7	prove	prove	VERB
ejpam-6379	110	8	that	that	SCONJ
ejpam-6379	110	9	τe	τe	ADP
ejpam-6379	110	10	=	=	SYM
ejpam-6379	111	1	∞	∞	NUM
ejpam-6379	111	2	a.s	a.s	PROPN
ejpam-6379	111	3	.	.	PROPN
ejpam-6379	112	1	if	if	SCONJ
ejpam-6379	112	2	not	not	PART
ejpam-6379	112	3	,	,	PUNCT
ejpam-6379	112	4	there	there	PRON
ejpam-6379	112	5	must	must	AUX
ejpam-6379	112	6	exists	exist	VERB
ejpam-6379	112	7	tow	tow	VERB
ejpam-6379	112	8	positive	positive	ADJ
ejpam-6379	112	9	constants	constant	NOUN
ejpam-6379	112	10	ζ	ζ	PROPN
ejpam-6379	112	11	∈	∈	PROPN
ejpam-6379	112	12	(	(	PUNCT
ejpam-6379	112	13	0	0	NUM
ejpam-6379	112	14	,	,	PUNCT
ejpam-6379	112	15	1	1	NUM
ejpam-6379	112	16	)	)	PUNCT
ejpam-6379	112	17	and	and	CCONJ
ejpam-6379	112	18	t	t	X
ejpam-6379	112	19	such	such	ADJ
ejpam-6379	112	20	that	that	SCONJ
ejpam-6379	112	21	p{t	p{t	PROPN
ejpam-6379	112	22	≥	≥	NUM
ejpam-6379	112	23	τ∞	τ∞	NOUN
ejpam-6379	112	24	}	}	PUNCT
ejpam-6379	112	25	>	>	X
ejpam-6379	112	26	ζ	ζ	NOUN
ejpam-6379	112	27	,	,	PUNCT
ejpam-6379	112	28	we	we	PRON
ejpam-6379	112	29	can	can	AUX
ejpam-6379	112	30	fined	fine	VERB
ejpam-6379	112	31	an	an	DET
ejpam-6379	112	32	integer	integer	NOUN
ejpam-6379	112	33	z1	z1	PROPN
ejpam-6379	112	34	≥	≥	NOUN
ejpam-6379	112	35	z0	z0	PROPN
ejpam-6379	112	36	,	,	PUNCT
ejpam-6379	112	37	such	such	ADJ
ejpam-6379	112	38	that	that	SCONJ
ejpam-6379	112	39	p{τz	p{τz	PROPN
ejpam-6379	112	40	≤	≤	PROPN
ejpam-6379	112	41	t	t	PROPN
ejpam-6379	112	42	}	}	PUNCT
ejpam-6379	112	43	≥	≥	NOUN
ejpam-6379	112	44	ζ	ζ	NOUN
ejpam-6379	112	45	,	,	PUNCT
ejpam-6379	112	46	∀z	∀z	X
ejpam-6379	112	47	≥	≥	NOUN
ejpam-6379	112	48	z1	z1	NOUN
ejpam-6379	112	49	.	.	PUNCT
ejpam-6379	113	1	define	define	VERB
ejpam-6379	113	2	a	a	DET
ejpam-6379	113	3	c2−	c2−	NOUN
ejpam-6379	113	4	function	function	NOUN
ejpam-6379	113	5	g	g	NOUN
ejpam-6379	113	6	:	:	PUNCT
ejpam-6379	113	7	r6	r6	NOUN
ejpam-6379	113	8	+	+	CCONJ
ejpam-6379	113	9	−→	−→	NOUN
ejpam-6379	113	10	r+	r+	NOUN
ejpam-6379	113	11	by	by	ADP
ejpam-6379	113	12	g(s(t	g(s(t	PROPN
ejpam-6379	113	13	)	)	PUNCT
ejpam-6379	113	14	,	,	PUNCT
ejpam-6379	113	15	e(t	e(t	NOUN
ejpam-6379	113	16	)	)	PUNCT
ejpam-6379	113	17	,	,	PUNCT
ejpam-6379	113	18	i(t	i(t	PROPN
ejpam-6379	113	19	)	)	PUNCT
ejpam-6379	113	20	,	,	PUNCT
ejpam-6379	113	21	h(t	h(t	PROPN
ejpam-6379	113	22	)	)	PUNCT
ejpam-6379	113	23	,	,	PUNCT
ejpam-6379	113	24	v	v	X
ejpam-6379	113	25	(	(	PUNCT
ejpam-6379	113	26	t	t	NOUN
ejpam-6379	113	27	)	)	PUNCT
ejpam-6379	113	28	,	,	PUNCT
ejpam-6379	113	29	r(t	r(t	NOUN
ejpam-6379	113	30	)	)	PUNCT
ejpam-6379	113	31	)	)	PUNCT
ejpam-6379	114	1	=	=	PUNCT
ejpam-6379	114	2	s	s	PART
ejpam-6379	115	1	+	+	NUM
ejpam-6379	115	2	e	e	NOUN
ejpam-6379	115	3	+	+	CCONJ
ejpam-6379	115	4	i	i	PRON
ejpam-6379	115	5	+	+	NOUN
ejpam-6379	115	6	h	h	NOUN
ejpam-6379	115	7	+	+	CCONJ
ejpam-6379	115	8	v	v	X
ejpam-6379	115	9	+	+	PROPN
ejpam-6379	115	10	r−	r−	PROPN
ejpam-6379	115	11	lns	lns	PROPN
ejpam-6379	115	12	−	−	PROPN
ejpam-6379	115	13	6	6	NUM
ejpam-6379	115	14	−	−	PROPN
ejpam-6379	115	15	lne	lne	NOUN
ejpam-6379	115	16	−	−	NOUN
ejpam-6379	116	1	ln	ln	INTJ
ejpam-6379	117	1	i	i	PRON
ejpam-6379	117	2	−	−	PROPN
ejpam-6379	117	3	lnh	lnh	PROPN
ejpam-6379	117	4	−	−	PROPN
ejpam-6379	117	5	lnv	lnv	NOUN
ejpam-6379	117	6	−	−	PROPN
ejpam-6379	117	7	lnr	lnr	PROPN
ejpam-6379	117	8	(	(	PUNCT
ejpam-6379	117	9	3	3	X
ejpam-6379	117	10	)	)	PUNCT
ejpam-6379	117	11	we	we	PRON
ejpam-6379	117	12	note	note	VERB
ejpam-6379	117	13	that	that	SCONJ
ejpam-6379	117	14	g	g	PROPN
ejpam-6379	117	15	is	be	AUX
ejpam-6379	117	16	a	a	DET
ejpam-6379	117	17	non	non	ADJ
ejpam-6379	117	18	-	-	ADJ
ejpam-6379	117	19	negative	negative	ADJ
ejpam-6379	117	20	function	function	NOUN
ejpam-6379	117	21	,	,	PUNCT
ejpam-6379	117	22	such	such	ADJ
ejpam-6379	117	23	that	that	SCONJ
ejpam-6379	117	24	0	0	NUM
ejpam-6379	117	25	≤	≤	NUM
ejpam-6379	117	26	g	g	ADP
ejpam-6379	117	27	−	−	PROPN
ejpam-6379	118	1	ln	ln	ADJ
ejpam-6379	118	2	g	g	PROPN
ejpam-6379	118	3	−	−	PROPN
ejpam-6379	118	4	1,∀g	1,∀g	PROPN
ejpam-6379	118	5	>	>	X
ejpam-6379	118	6	0	0	X
ejpam-6379	118	7	.	.	PUNCT
ejpam-6379	119	1	assume	assume	VERB
ejpam-6379	119	2	that	that	SCONJ
ejpam-6379	119	3	z0	z0	PROPN
ejpam-6379	119	4	≤	≤	PROPN
ejpam-6379	119	5	z	z	PROPN
ejpam-6379	119	6	and	and	CCONJ
ejpam-6379	119	7	t	t	PROPN
ejpam-6379	119	8	>	>	X
ejpam-6379	119	9	0	0	NUM
ejpam-6379	119	10	are	be	AUX
ejpam-6379	119	11	arbitrary	arbitrary	ADJ
ejpam-6379	119	12	.	.	PUNCT
ejpam-6379	120	1	upon	upon	SCONJ
ejpam-6379	120	2	applying	apply	VERB
ejpam-6379	120	3	itô	itô	PROPN
ejpam-6379	120	4	’s	’s	PART
ejpam-6379	120	5	formula	formula	NOUN
ejpam-6379	120	6	to	to	ADP
ejpam-6379	120	7	equation	equation	NOUN
ejpam-6379	120	8	(	(	PUNCT
ejpam-6379	120	9	3	3	NUM
ejpam-6379	120	10	)	)	PUNCT
ejpam-6379	120	11	,	,	PUNCT
ejpam-6379	120	12	so	so	SCONJ
ejpam-6379	120	13	we	we	PRON
ejpam-6379	120	14	get	get	VERB
ejpam-6379	120	15	dg(s	dg(s	NOUN
ejpam-6379	120	16	,	,	PUNCT
ejpam-6379	120	17	e	e	NOUN
ejpam-6379	120	18	,	,	PUNCT
ejpam-6379	120	19	i	i	PRON
ejpam-6379	120	20	,	,	PUNCT
ejpam-6379	120	21	h	h	PROPN
ejpam-6379	120	22	,	,	PUNCT
ejpam-6379	120	23	v	v	NOUN
ejpam-6379	120	24	,	,	PUNCT
ejpam-6379	120	25	r	r	NOUN
ejpam-6379	120	26	)	)	PUNCT
ejpam-6379	120	27	=	=	SYM
ejpam-6379	120	28	lg(s	lg(	NOUN
ejpam-6379	120	29	,	,	PUNCT
ejpam-6379	120	30	e	e	X
ejpam-6379	120	31	,	,	PUNCT
ejpam-6379	120	32	i	i	PRON
ejpam-6379	120	33	,	,	PUNCT
ejpam-6379	120	34	h	h	PROPN
ejpam-6379	120	35	,	,	PUNCT
ejpam-6379	120	36	v	v	NOUN
ejpam-6379	120	37	,	,	PUNCT
ejpam-6379	120	38	r	r	NOUN
ejpam-6379	120	39	)	)	PUNCT
ejpam-6379	121	1	+	+	CCONJ
ejpam-6379	121	2	δ1(s	δ1(s	NUM
ejpam-6379	121	3	−	−	NUM
ejpam-6379	121	4	1)db1	1)db1	NUM
ejpam-6379	122	1	+	+	PUNCT
ejpam-6379	122	2	δ2(e	δ2(e	PRON
ejpam-6379	122	3	−	−	PROPN
ejpam-6379	122	4	1)db2	1)db2	NUM
ejpam-6379	123	1	+	+	NOUN
ejpam-6379	123	2	δ3(i	δ3(i	PROPN
ejpam-6379	123	3	−	−	NUM
ejpam-6379	123	4	1)db3	1)db3	NUM
ejpam-6379	124	1	+	+	CCONJ
ejpam-6379	125	1	δ4(h	δ4(h	PROPN
ejpam-6379	125	2	−	−	X
ejpam-6379	125	3	1)db4	1)db4	NUM
ejpam-6379	125	4	+	+	CCONJ
ejpam-6379	125	5	δ5(v	δ5(v	PROPN
ejpam-6379	125	6	−	−	PROPN
ejpam-6379	125	7	1)db5	1)db5	NUM
ejpam-6379	126	1	+	+	NOUN
ejpam-6379	126	2	δ6(r−	δ6(r−	DET
ejpam-6379	126	3	1)db6	1)db6	NUM
ejpam-6379	126	4	(	(	PUNCT
ejpam-6379	126	5	4	4	NUM
ejpam-6379	126	6	)	)	PUNCT
ejpam-6379	126	7	in	in	ADP
ejpam-6379	126	8	equation	equation	NOUN
ejpam-6379	126	9	(	(	PUNCT
ejpam-6379	126	10	4	4	NUM
ejpam-6379	126	11	)	)	PUNCT
ejpam-6379	126	12	,	,	PUNCT
ejpam-6379	126	13	lg(s	lg(s	NUM
ejpam-6379	126	14	,	,	PUNCT
ejpam-6379	126	15	e	e	X
ejpam-6379	126	16	,	,	PUNCT
ejpam-6379	126	17	i	i	PRON
ejpam-6379	126	18	,	,	PUNCT
ejpam-6379	126	19	h	h	PROPN
ejpam-6379	126	20	,	,	PUNCT
ejpam-6379	126	21	v	v	NOUN
ejpam-6379	126	22	,	,	PUNCT
ejpam-6379	126	23	r	r	NOUN
ejpam-6379	126	24	)	)	PUNCT
ejpam-6379	126	25	:	:	PUNCT
ejpam-6379	126	26	r6	r6	NOUN
ejpam-6379	126	27	+	+	CCONJ
ejpam-6379	126	28	−→	−→	NOUN
ejpam-6379	126	29	r+is	r+is	NOUN
ejpam-6379	126	30	defined	define	VERB
ejpam-6379	126	31	by	by	ADP
ejpam-6379	126	32	lg	lg	PROPN
ejpam-6379	126	33	=	=	PROPN
ejpam-6379	126	34	(	(	PUNCT
ejpam-6379	126	35	1−	1−	NUM
ejpam-6379	126	36	1	1	NUM
ejpam-6379	126	37	s	s	NOUN
ejpam-6379	126	38	)	)	PUNCT
ejpam-6379	126	39	(	(	PUNCT
ejpam-6379	126	40	λ+	λ+	PUNCT
ejpam-6379	126	41	ρ(v	ρ(v	PROPN
ejpam-6379	126	42	+	+	PROPN
ejpam-6379	126	43	r)−	r)−	PROPN
ejpam-6379	126	44	β	β	X
ejpam-6379	126	45	(	(	PUNCT
ejpam-6379	126	46	e	e	X
ejpam-6379	126	47	+	+	CCONJ
ejpam-6379	126	48	i)(s	i)(s	PRON
ejpam-6379	126	49	+	+	CCONJ
ejpam-6379	126	50	σv	σv	ADJ
ejpam-6379	126	51	)	)	PUNCT
ejpam-6379	126	52	n	n	CCONJ
ejpam-6379	126	53	−	−	PROPN
ejpam-6379	126	54	(	(	PUNCT
ejpam-6379	126	55	α+	α+	NOUN
ejpam-6379	126	56	µ)s	µ)s	NOUN
ejpam-6379	126	57	)	)	PUNCT
ejpam-6379	127	1	+	+	PROPN
ejpam-6379	127	2	(	(	PUNCT
ejpam-6379	127	3	1−	1−	NUM
ejpam-6379	127	4	1	1	NUM
ejpam-6379	127	5	e	e	NOUN
ejpam-6379	127	6	)	)	PUNCT
ejpam-6379	127	7	(	(	PUNCT
ejpam-6379	127	8	β	β	X
ejpam-6379	127	9	(	(	PUNCT
ejpam-6379	127	10	e	e	NOUN
ejpam-6379	127	11	+	+	CCONJ
ejpam-6379	127	12	i)(s	i)(s	PRON
ejpam-6379	127	13	+	+	CCONJ
ejpam-6379	127	14	σv	σv	ADJ
ejpam-6379	127	15	)	)	PUNCT
ejpam-6379	127	16	n	n	CCONJ
ejpam-6379	127	17	−	−	PROPN
ejpam-6379	127	18	(	(	PUNCT
ejpam-6379	127	19	ω	ω	NOUN
ejpam-6379	127	20	+	+	NUM
ejpam-6379	127	21	γ1	γ1	NOUN
ejpam-6379	127	22	+	+	CCONJ
ejpam-6379	127	23	µ)e	µ)e	NOUN
ejpam-6379	127	24	)	)	PUNCT
ejpam-6379	128	1	+	+	PROPN
ejpam-6379	128	2	(	(	PUNCT
ejpam-6379	128	3	1−	1−	NUM
ejpam-6379	128	4	1	1	NUM
ejpam-6379	128	5	i	i	NOUN
ejpam-6379	128	6	)	)	PUNCT
ejpam-6379	128	7	(	(	PUNCT
ejpam-6379	128	8	ωe	ωe	ADV
ejpam-6379	128	9	−	−	PROPN
ejpam-6379	128	10	(	(	PUNCT
ejpam-6379	128	11	γ2	γ2	NOUN
ejpam-6379	128	12	+	+	CCONJ
ejpam-6379	128	13	ϵ+	ϵ+	NOUN
ejpam-6379	128	14	µ)i	µ)i	X
ejpam-6379	128	15	)	)	PUNCT
ejpam-6379	129	1	+	+	X
ejpam-6379	129	2	(	(	PUNCT
ejpam-6379	129	3	1−	1−	NUM
ejpam-6379	129	4	1	1	NUM
ejpam-6379	129	5	h	h	NOUN
ejpam-6379	129	6	)	)	PUNCT
ejpam-6379	129	7	(	(	PUNCT
ejpam-6379	129	8	ϵi	ϵi	X
ejpam-6379	129	9	−	−	PROPN
ejpam-6379	129	10	(	(	PUNCT
ejpam-6379	129	11	γ3	γ3	NOUN
ejpam-6379	129	12	+	+	CCONJ
ejpam-6379	129	13	µ)h	µ)h	PUNCT
ejpam-6379	129	14	)	)	PUNCT
ejpam-6379	130	1	+	+	PROPN
ejpam-6379	130	2	(	(	PUNCT
ejpam-6379	130	3	1−	1−	NUM
ejpam-6379	130	4	1	1	NUM
ejpam-6379	130	5	v	v	NOUN
ejpam-6379	130	6	)	)	PUNCT
ejpam-6379	130	7	(	(	PUNCT
ejpam-6379	130	8	αs	αs	INTJ
ejpam-6379	130	9	−	−	PROPN
ejpam-6379	130	10	(	(	PUNCT
ejpam-6379	130	11	ρ+	ρ+	NOUN
ejpam-6379	130	12	σ	σ	X
ejpam-6379	130	13	+	+	NOUN
ejpam-6379	130	14	µ)v	µ)v	NOUN
ejpam-6379	130	15	)	)	PUNCT
ejpam-6379	131	1	+	+	PROPN
ejpam-6379	131	2	(	(	PUNCT
ejpam-6379	131	3	1−	1−	NUM
ejpam-6379	131	4	1	1	NUM
ejpam-6379	131	5	r	r	NOUN
ejpam-6379	131	6	)	)	PUNCT
ejpam-6379	131	7	(	(	PUNCT
ejpam-6379	131	8	γ1e	γ1e	PROPN
ejpam-6379	131	9	+	+	CCONJ
ejpam-6379	131	10	γ2i	γ2i	PROPN
ejpam-6379	131	11	+	+	CCONJ
ejpam-6379	131	12	γ3h	γ3h	PROPN
ejpam-6379	131	13	−	−	PROPN
ejpam-6379	131	14	(	(	PUNCT
ejpam-6379	131	15	ρ+	ρ+	NUM
ejpam-6379	131	16	µ)r	µ)r	NOUN
ejpam-6379	131	17	)	)	PUNCT
ejpam-6379	131	18	r.	r.	PROPN
ejpam-6379	131	19	saadeh	saadeh	PROPN
ejpam-6379	131	20	et	et	PROPN
ejpam-6379	131	21	al	al	PROPN
ejpam-6379	131	22	.	.	PUNCT
ejpam-6379	131	23	/	/	SYM
ejpam-6379	131	24	eur	eur	PROPN
ejpam-6379	131	25	.	.	PUNCT
ejpam-6379	132	1	j.	j.	PROPN
ejpam-6379	132	2	pure	pure	PROPN
ejpam-6379	132	3	appl	appl	PROPN
ejpam-6379	132	4	.	.	PROPN
ejpam-6379	132	5	math	math	PROPN
ejpam-6379	132	6	,	,	PUNCT
ejpam-6379	132	7	18	18	NUM
ejpam-6379	132	8	(	(	PUNCT
ejpam-6379	132	9	3	3	NUM
ejpam-6379	132	10	)	)	PUNCT
ejpam-6379	132	11	(	(	PUNCT
ejpam-6379	132	12	2025	2025	NUM
ejpam-6379	132	13	)	)	PUNCT
ejpam-6379	132	14	,	,	PUNCT
ejpam-6379	132	15	6379	6379	NUM
ejpam-6379	132	16	7	7	NUM
ejpam-6379	132	17	of	of	ADP
ejpam-6379	132	18	34	34	NUM
ejpam-6379	132	19	+	+	NOUN
ejpam-6379	132	20	δ21	δ21	NOUN
ejpam-6379	132	21	+	+	CCONJ
ejpam-6379	132	22	δ22	δ22	NOUN
ejpam-6379	132	23	+	+	CCONJ
ejpam-6379	132	24	δ23	δ23	ADJ
ejpam-6379	132	25	+	+	CCONJ
ejpam-6379	132	26	δ24	δ24	NOUN
ejpam-6379	132	27	+	+	CCONJ
ejpam-6379	132	28	δ25	δ25	NOUN
ejpam-6379	132	29	+	+	CCONJ
ejpam-6379	132	30	δ26	δ26	X
ejpam-6379	132	31	2	2	NUM
ejpam-6379	132	32	≤	≤	NOUN
ejpam-6379	132	33	λ+	λ+	PUNCT
ejpam-6379	132	34	α+	α+	PUNCT
ejpam-6379	132	35	5µ+	5µ+	NUM
ejpam-6379	132	36	ω	ω	NOUN
ejpam-6379	132	37	+	+	CCONJ
ejpam-6379	132	38	γ1	γ1	NOUN
ejpam-6379	132	39	+	+	CCONJ
ejpam-6379	132	40	γ2	γ2	ADJ
ejpam-6379	132	41	+	+	CCONJ
ejpam-6379	132	42	γ3	γ3	NOUN
ejpam-6379	132	43	+	+	CCONJ
ejpam-6379	132	44	ϵ+	ϵ+	X
ejpam-6379	132	45	σ	σ	NOUN
ejpam-6379	133	1	+	+	NOUN
ejpam-6379	133	2	2ρ+	2ρ+	NOUN
ejpam-6379	133	3	β	β	X
ejpam-6379	133	4	+	+	X
ejpam-6379	133	5	βσ	βσ	PROPN
ejpam-6379	133	6	+	+	NUM
ejpam-6379	133	7	δ21	δ21	NOUN
ejpam-6379	133	8	+	+	CCONJ
ejpam-6379	133	9	δ22	δ22	NOUN
ejpam-6379	133	10	+	+	CCONJ
ejpam-6379	133	11	δ23	δ23	ADJ
ejpam-6379	133	12	+	+	CCONJ
ejpam-6379	133	13	δ24	δ24	NOUN
ejpam-6379	134	1	+	+	CCONJ
ejpam-6379	134	2	δ25	δ25	NOUN
ejpam-6379	134	3	+	+	CCONJ
ejpam-6379	134	4	δ26	δ26	X
ejpam-6379	134	5	2	2	NUM
ejpam-6379	134	6	=	=	SYM
ejpam-6379	134	7	k	k	X
ejpam-6379	134	8	(	(	PUNCT
ejpam-6379	134	9	5	5	NUM
ejpam-6379	134	10	)	)	PUNCT
ejpam-6379	134	11	then	then	ADV
ejpam-6379	134	12	dg(x	dg(x	X
ejpam-6379	134	13	)	)	PUNCT
ejpam-6379	134	14	≤	≤	NUM
ejpam-6379	135	1	kdt+	kdt+	VERB
ejpam-6379	135	2	δ1(s	δ1(s	NUM
ejpam-6379	135	3	−	−	NUM
ejpam-6379	135	4	1)db1	1)db1	NUM
ejpam-6379	135	5	+	+	PUNCT
ejpam-6379	136	1	δ2(e	δ2(e	PRON
ejpam-6379	136	2	−	−	PROPN
ejpam-6379	136	3	1)db2	1)db2	NUM
ejpam-6379	136	4	+	+	CCONJ
ejpam-6379	137	1	δ3(i	δ3(i	PROPN
ejpam-6379	137	2	−	−	NUM
ejpam-6379	137	3	1)db3	1)db3	NUM
ejpam-6379	138	1	+	+	PROPN
ejpam-6379	138	2	δ4(h	δ4(h	PROPN
ejpam-6379	138	3	−	−	X
ejpam-6379	138	4	1)db4	1)db4	NUM
ejpam-6379	139	1	+	+	CCONJ
ejpam-6379	139	2	δ5(v	δ5(v	PROPN
ejpam-6379	139	3	−	−	PROPN
ejpam-6379	139	4	1)db5	1)db5	NUM
ejpam-6379	140	1	+	+	CCONJ
ejpam-6379	140	2	δ6(r−	δ6(r−	DET
ejpam-6379	140	3	1)db6	1)db6	PROPN
ejpam-6379	140	4	integrating	integrate	VERB
ejpam-6379	140	5	both	both	DET
ejpam-6379	140	6	sides	side	NOUN
ejpam-6379	140	7	from	from	ADP
ejpam-6379	140	8	0	0	NUM
ejpam-6379	140	9	to	to	PART
ejpam-6379	140	10	τz	τz	ADP
ejpam-6379	140	11	∧	∧	PROPN
ejpam-6379	140	12	t	t	PROPN
ejpam-6379	140	13	,	,	PUNCT
ejpam-6379	140	14	and	and	CCONJ
ejpam-6379	140	15	taking	take	VERB
ejpam-6379	140	16	expectations	expectation	NOUN
ejpam-6379	140	17	,	,	PUNCT
ejpam-6379	140	18	we	we	PRON
ejpam-6379	140	19	obtain	obtain	VERB
ejpam-6379	140	20	e[g(s(τz	e[g(s(τz	X
ejpam-6379	140	21	∧	∧	PROPN
ejpam-6379	140	22	t	t	PROPN
ejpam-6379	140	23	)	)	PUNCT
ejpam-6379	140	24	)	)	PUNCT
ejpam-6379	140	25	,	,	PUNCT
ejpam-6379	140	26	e(τz	e(τz	PROPN
ejpam-6379	140	27	∧	∧	PROPN
ejpam-6379	140	28	t	t	PROPN
ejpam-6379	140	29	)	)	PUNCT
ejpam-6379	140	30	,	,	PUNCT
ejpam-6379	140	31	i(τz	i(τz	VERB
ejpam-6379	140	32	∧	∧	PROPN
ejpam-6379	140	33	t	t	PROPN
ejpam-6379	140	34	)	)	PUNCT
ejpam-6379	140	35	,	,	PUNCT
ejpam-6379	140	36	h(τz	h(τz	PROPN
ejpam-6379	140	37	∧	∧	PROPN
ejpam-6379	140	38	t	t	PROPN
ejpam-6379	140	39	)	)	PUNCT
ejpam-6379	140	40	,	,	PUNCT
ejpam-6379	140	41	v	v	X
ejpam-6379	140	42	(	(	PUNCT
ejpam-6379	140	43	τz	τz	ADP
ejpam-6379	140	44	∧	∧	PROPN
ejpam-6379	140	45	t	t	PROPN
ejpam-6379	140	46	)	)	PUNCT
ejpam-6379	140	47	,	,	PUNCT
ejpam-6379	140	48	r(τz	r(τz	PROPN
ejpam-6379	140	49	∧	∧	PROPN
ejpam-6379	140	50	t	t	PROPN
ejpam-6379	140	51	)	)	PUNCT
ejpam-6379	140	52	)	)	PUNCT
ejpam-6379	140	53	]	]	PUNCT
ejpam-6379	140	54	≤	≤	NUM
ejpam-6379	140	55	g(s(0	g(s(0	NOUN
ejpam-6379	140	56	)	)	PUNCT
ejpam-6379	140	57	,	,	PUNCT
ejpam-6379	140	58	e(0	e(0	NOUN
ejpam-6379	140	59	)	)	PUNCT
ejpam-6379	140	60	,	,	PUNCT
ejpam-6379	140	61	i(0	i(0	PROPN
ejpam-6379	140	62	)	)	PUNCT
ejpam-6379	140	63	,	,	PUNCT
ejpam-6379	140	64	h(0	h(0	PROPN
ejpam-6379	140	65	)	)	PUNCT
ejpam-6379	140	66	,	,	PUNCT
ejpam-6379	140	67	v	v	X
ejpam-6379	140	68	(	(	PUNCT
ejpam-6379	140	69	0	0	NUM
ejpam-6379	140	70	)	)	PUNCT
ejpam-6379	140	71	,	,	PUNCT
ejpam-6379	140	72	r(0	r(0	PROPN
ejpam-6379	140	73	)	)	PUNCT
ejpam-6379	140	74	)	)	PUNCT
ejpam-6379	141	1	+	+	CCONJ
ejpam-6379	141	2	e	e	X
ejpam-6379	141	3	(	(	PUNCT
ejpam-6379	141	4	∫	∫	PROPN
ejpam-6379	141	5	τz∧t	τz∧t	PROPN
ejpam-6379	141	6	0	0	NUM
ejpam-6379	141	7	kdt	kdt	PROPN
ejpam-6379	141	8	)	)	PUNCT
ejpam-6379	141	9	≤	≤	PROPN
ejpam-6379	141	10	g(s(0	g(s(0	PROPN
ejpam-6379	141	11	)	)	PUNCT
ejpam-6379	141	12	,	,	PUNCT
ejpam-6379	141	13	e(0	e(0	NOUN
ejpam-6379	141	14	)	)	PUNCT
ejpam-6379	141	15	,	,	PUNCT
ejpam-6379	141	16	i(0	i(0	PROPN
ejpam-6379	141	17	)	)	PUNCT
ejpam-6379	141	18	,	,	PUNCT
ejpam-6379	141	19	h(0	h(0	PROPN
ejpam-6379	141	20	)	)	PUNCT
ejpam-6379	141	21	,	,	PUNCT
ejpam-6379	141	22	v	v	X
ejpam-6379	141	23	(	(	PUNCT
ejpam-6379	141	24	0	0	NUM
ejpam-6379	141	25	)	)	PUNCT
ejpam-6379	141	26	,	,	PUNCT
ejpam-6379	141	27	r(0	r(0	PROPN
ejpam-6379	141	28	)	)	PUNCT
ejpam-6379	141	29	)	)	PUNCT
ejpam-6379	142	1	+	+	VERB
ejpam-6379	142	2	kt	kt	X
ejpam-6379	142	3	(	(	PUNCT
ejpam-6379	142	4	6	6	NUM
ejpam-6379	142	5	)	)	PUNCT
ejpam-6379	142	6	then	then	ADV
ejpam-6379	142	7	e[g	e[g	ADV
ejpam-6379	142	8	]	]	PUNCT
ejpam-6379	142	9	≤	≤	NUM
ejpam-6379	142	10	g(s(0	g(s(0	NOUN
ejpam-6379	142	11	)	)	PUNCT
ejpam-6379	142	12	,	,	PUNCT
ejpam-6379	142	13	e(0	e(0	NOUN
ejpam-6379	142	14	)	)	PUNCT
ejpam-6379	142	15	,	,	PUNCT
ejpam-6379	142	16	i(0	i(0	PROPN
ejpam-6379	142	17	)	)	PUNCT
ejpam-6379	142	18	,	,	PUNCT
ejpam-6379	142	19	h(0	h(0	PROPN
ejpam-6379	142	20	)	)	PUNCT
ejpam-6379	142	21	,	,	PUNCT
ejpam-6379	142	22	v	v	X
ejpam-6379	142	23	(	(	PUNCT
ejpam-6379	142	24	0	0	NUM
ejpam-6379	142	25	)	)	PUNCT
ejpam-6379	142	26	,	,	PUNCT
ejpam-6379	142	27	r(0	r(0	PROPN
ejpam-6379	142	28	)	)	PUNCT
ejpam-6379	142	29	)	)	PUNCT
ejpam-6379	143	1	+	+	VERB
ejpam-6379	143	2	kt	kt	X
ejpam-6379	143	3	for	for	ADP
ejpam-6379	143	4	any	any	DET
ejpam-6379	143	5	positive	positive	ADJ
ejpam-6379	143	6	z	z	NOUN
ejpam-6379	143	7	≥	≥	NOUN
ejpam-6379	143	8	z1	z1	NOUN
ejpam-6379	143	9	,	,	PUNCT
ejpam-6379	143	10	we	we	PRON
ejpam-6379	143	11	set	set	VERB
ejpam-6379	143	12	ωz	ωz	ADP
ejpam-6379	143	13	=	=	PUNCT
ejpam-6379	143	14	(	(	PUNCT
ejpam-6379	143	15	τz	τz	ADP
ejpam-6379	143	16	<	<	X
ejpam-6379	143	17	t	t	PROPN
ejpam-6379	143	18	)	)	PUNCT
ejpam-6379	143	19	,	,	PUNCT
ejpam-6379	143	20	this	this	PRON
ejpam-6379	143	21	leads	lead	VERB
ejpam-6379	143	22	to	to	ADP
ejpam-6379	143	23	p	p	PROPN
ejpam-6379	143	24	(	(	PUNCT
ejpam-6379	143	25	ωz	ωz	NOUN
ejpam-6379	143	26	)	)	PUNCT
ejpam-6379	143	27	≥	≥	PROPN
ejpam-6379	143	28	ζ	ζ	NOUN
ejpam-6379	143	29	.	.	PUNCT
ejpam-6379	143	30	note	note	VERB
ejpam-6379	143	31	that	that	SCONJ
ejpam-6379	143	32	for	for	ADP
ejpam-6379	143	33	each	each	DET
ejpam-6379	143	34	ω	ω	PROPN
ejpam-6379	143	35	∈	∈	PROPN
ejpam-6379	143	36	ωz	ωz	ADP
ejpam-6379	143	37	there	there	PRON
ejpam-6379	143	38	must	must	AUX
ejpam-6379	143	39	exist	exist	VERB
ejpam-6379	143	40	one	one	NUM
ejpam-6379	143	41	more	more	ADJ
ejpam-6379	143	42	than	than	ADP
ejpam-6379	143	43	one	one	NUM
ejpam-6379	143	44	s(τz	s(τz	NOUN
ejpam-6379	143	45	,	,	PUNCT
ejpam-6379	143	46	ω	ω	NOUN
ejpam-6379	143	47	)	)	PUNCT
ejpam-6379	143	48	,	,	PUNCT
ejpam-6379	143	49	e(τz	e(τz	PROPN
ejpam-6379	143	50	,	,	PUNCT
ejpam-6379	143	51	ω	ω	NOUN
ejpam-6379	143	52	)	)	PUNCT
ejpam-6379	143	53	,	,	PUNCT
ejpam-6379	143	54	i(τz	i(τz	VERB
ejpam-6379	143	55	,	,	PUNCT
ejpam-6379	143	56	ω	ω	NOUN
ejpam-6379	143	57	)	)	PUNCT
ejpam-6379	143	58	,	,	PUNCT
ejpam-6379	143	59	h(τz	h(τz	PROPN
ejpam-6379	143	60	,	,	PUNCT
ejpam-6379	143	61	ω	ω	NOUN
ejpam-6379	143	62	)	)	PUNCT
ejpam-6379	143	63	,	,	PUNCT
ejpam-6379	143	64	v	v	X
ejpam-6379	143	65	(	(	PUNCT
ejpam-6379	143	66	τz	τz	PROPN
ejpam-6379	143	67	,	,	PUNCT
ejpam-6379	143	68	ω	ω	NOUN
ejpam-6379	143	69	)	)	PUNCT
ejpam-6379	143	70	,	,	PUNCT
ejpam-6379	143	71	r(τz	r(τz	PROPN
ejpam-6379	143	72	,	,	PUNCT
ejpam-6379	143	73	ω	ω	NOUN
ejpam-6379	143	74	)	)	PUNCT
ejpam-6379	143	75	which	which	PRON
ejpam-6379	143	76	equals	equal	VERB
ejpam-6379	143	77	1	1	NUM
ejpam-6379	143	78	z	z	NOUN
ejpam-6379	143	79	or	or	CCONJ
ejpam-6379	143	80	z	z	NOUN
ejpam-6379	143	81	,	,	PUNCT
ejpam-6379	143	82	consequently	consequently	ADV
ejpam-6379	143	83	,	,	PUNCT
ejpam-6379	143	84	g(s(τz	g(s(τz	PROPN
ejpam-6379	143	85	)	)	PUNCT
ejpam-6379	143	86	,	,	PUNCT
ejpam-6379	143	87	e(τz	e(τz	PROPN
ejpam-6379	143	88	)	)	PUNCT
ejpam-6379	143	89	,	,	PUNCT
ejpam-6379	143	90	i(τz	i(τz	NOUN
ejpam-6379	143	91	)	)	PUNCT
ejpam-6379	143	92	,	,	PUNCT
ejpam-6379	143	93	h(τz	h(τz	NOUN
ejpam-6379	143	94	)	)	PUNCT
ejpam-6379	143	95	,	,	PUNCT
ejpam-6379	143	96	v	v	NOUN
ejpam-6379	143	97	(	(	PUNCT
ejpam-6379	143	98	τz	τz	NOUN
ejpam-6379	143	99	)	)	PUNCT
ejpam-6379	143	100	,	,	PUNCT
ejpam-6379	143	101	r(τz	r(τz	PROPN
ejpam-6379	143	102	)	)	PUNCT
ejpam-6379	143	103	)	)	PUNCT
ejpam-6379	143	104	is	be	AUX
ejpam-6379	143	105	no	no	PRON
ejpam-6379	143	106	less	less	ADJ
ejpam-6379	143	107	then	then	ADP
ejpam-6379	144	1	1	1	NUM
ejpam-6379	144	2	z	z	NOUN
ejpam-6379	144	3	−	−	NOUN
ejpam-6379	144	4	1	1	NUM
ejpam-6379	145	1	+	+	CCONJ
ejpam-6379	145	2	ln	ln	ADJ
ejpam-6379	145	3	z	z	NOUN
ejpam-6379	145	4	or	or	CCONJ
ejpam-6379	145	5	z	z	NOUN
ejpam-6379	145	6	−	−	PROPN
ejpam-6379	145	7	1−	1−	NUM
ejpam-6379	145	8	ln	ln	PROPN
ejpam-6379	145	9	z.	z.	PROPN
ejpam-6379	145	10	therefore	therefore	ADV
ejpam-6379	145	11	,	,	PUNCT
ejpam-6379	145	12	g(s(τz	g(s(τz	PROPN
ejpam-6379	145	13	)	)	PUNCT
ejpam-6379	145	14	,	,	PUNCT
ejpam-6379	145	15	e(τz	e(τz	PROPN
ejpam-6379	145	16	)	)	PUNCT
ejpam-6379	145	17	,	,	PUNCT
ejpam-6379	145	18	i(τz	i(τz	NOUN
ejpam-6379	145	19	)	)	PUNCT
ejpam-6379	145	20	,	,	PUNCT
ejpam-6379	145	21	h(τz	h(τz	NOUN
ejpam-6379	145	22	)	)	PUNCT
ejpam-6379	145	23	,	,	PUNCT
ejpam-6379	145	24	v	v	NOUN
ejpam-6379	145	25	(	(	PUNCT
ejpam-6379	145	26	τz	τz	NOUN
ejpam-6379	145	27	)	)	PUNCT
ejpam-6379	145	28	,	,	PUNCT
ejpam-6379	145	29	r(τz	r(τz	PROPN
ejpam-6379	145	30	)	)	PUNCT
ejpam-6379	145	31	)	)	PUNCT
ejpam-6379	145	32	≥	≥	NOUN
ejpam-6379	145	33	(	(	PUNCT
ejpam-6379	145	34	1	1	NUM
ejpam-6379	145	35	z	z	NOUN
ejpam-6379	145	36	−	−	NOUN
ejpam-6379	145	37	1	1	NUM
ejpam-6379	145	38	+	+	CCONJ
ejpam-6379	145	39	ln	ln	ADJ
ejpam-6379	145	40	z	z	NOUN
ejpam-6379	145	41	)	)	PUNCT
ejpam-6379	145	42	∧	∧	PROPN
ejpam-6379	145	43	(	(	PUNCT
ejpam-6379	145	44	z	z	NOUN
ejpam-6379	145	45	−	−	PROPN
ejpam-6379	145	46	1−	1−	NUM
ejpam-6379	145	47	ln	ln	PROPN
ejpam-6379	145	48	z	z	NOUN
ejpam-6379	145	49	)	)	PUNCT
ejpam-6379	146	1	so	so	ADV
ejpam-6379	146	2	we	we	PRON
ejpam-6379	146	3	obtain	obtain	VERB
ejpam-6379	146	4	g(s(0	g(s(0	PRON
ejpam-6379	146	5	)	)	PUNCT
ejpam-6379	146	6	,	,	PUNCT
ejpam-6379	146	7	e(0	e(0	NOUN
ejpam-6379	146	8	)	)	PUNCT
ejpam-6379	146	9	,	,	PUNCT
ejpam-6379	146	10	i(0	i(0	PROPN
ejpam-6379	146	11	)	)	PUNCT
ejpam-6379	146	12	,	,	PUNCT
ejpam-6379	146	13	h(0	h(0	PROPN
ejpam-6379	146	14	)	)	PUNCT
ejpam-6379	146	15	,	,	PUNCT
ejpam-6379	146	16	v	v	X
ejpam-6379	146	17	(	(	PUNCT
ejpam-6379	146	18	0	0	NUM
ejpam-6379	146	19	)	)	PUNCT
ejpam-6379	146	20	,	,	PUNCT
ejpam-6379	146	21	r(0	r(0	PROPN
ejpam-6379	146	22	)	)	PUNCT
ejpam-6379	146	23	)	)	PUNCT
ejpam-6379	147	1	+	+	ADP
ejpam-6379	147	2	kt	kt	PROPN
ejpam-6379	147	3	≥	≥	PROPN
ejpam-6379	147	4	e[iωωg(s(τz	e[iωωg(s(τz	PROPN
ejpam-6379	147	5	)	)	PUNCT
ejpam-6379	147	6	,	,	PUNCT
ejpam-6379	147	7	e(τz	e(τz	PROPN
ejpam-6379	147	8	)	)	PUNCT
ejpam-6379	147	9	,	,	PUNCT
ejpam-6379	147	10	i(τz	i(τz	NOUN
ejpam-6379	147	11	)	)	PUNCT
ejpam-6379	147	12	,	,	PUNCT
ejpam-6379	147	13	h(τz	h(τz	NOUN
ejpam-6379	147	14	)	)	PUNCT
ejpam-6379	147	15	,	,	PUNCT
ejpam-6379	147	16	v	v	NOUN
ejpam-6379	147	17	(	(	PUNCT
ejpam-6379	147	18	τz	τz	NOUN
ejpam-6379	147	19	)	)	PUNCT
ejpam-6379	147	20	,	,	PUNCT
ejpam-6379	147	21	r(τz	r(τz	PROPN
ejpam-6379	147	22	)	)	PUNCT
ejpam-6379	147	23	)	)	PUNCT
ejpam-6379	147	24	]	]	PUNCT
ejpam-6379	148	1	=	=	PUNCT
ejpam-6379	148	2	p	p	X
ejpam-6379	148	3	(	(	PUNCT
ejpam-6379	148	4	ωk)g(s(τz	ωk)g(s(τz	NOUN
ejpam-6379	148	5	)	)	PUNCT
ejpam-6379	148	6	,	,	PUNCT
ejpam-6379	148	7	e(τz	e(τz	PROPN
ejpam-6379	148	8	)	)	PUNCT
ejpam-6379	148	9	,	,	PUNCT
ejpam-6379	148	10	i(τz	i(τz	NOUN
ejpam-6379	148	11	)	)	PUNCT
ejpam-6379	148	12	,	,	PUNCT
ejpam-6379	148	13	h(τz	h(τz	NOUN
ejpam-6379	148	14	)	)	PUNCT
ejpam-6379	148	15	,	,	PUNCT
ejpam-6379	148	16	v	v	NOUN
ejpam-6379	148	17	(	(	PUNCT
ejpam-6379	148	18	τz	τz	NOUN
ejpam-6379	148	19	)	)	PUNCT
ejpam-6379	148	20	,	,	PUNCT
ejpam-6379	148	21	r(τz	r(τz	PROPN
ejpam-6379	148	22	)	)	PUNCT
ejpam-6379	148	23	)	)	PUNCT
ejpam-6379	148	24	>	>	X
ejpam-6379	148	25	ζ	ζ	X
ejpam-6379	148	26	[	[	PUNCT
ejpam-6379	148	27	(	(	PUNCT
ejpam-6379	148	28	1z	1z	NOUN
ejpam-6379	148	29	−	−	NOUN
ejpam-6379	148	30	1	1	NUM
ejpam-6379	148	31	+	+	CCONJ
ejpam-6379	148	32	ln	ln	ADJ
ejpam-6379	148	33	z	z	NOUN
ejpam-6379	148	34	)	)	PUNCT
ejpam-6379	148	35	∧	∧	PROPN
ejpam-6379	148	36	(	(	PUNCT
ejpam-6379	148	37	z	z	NOUN
ejpam-6379	148	38	−	−	PROPN
ejpam-6379	148	39	1−	1−	NUM
ejpam-6379	148	40	ln	ln	PROPN
ejpam-6379	148	41	z	z	NOUN
ejpam-6379	148	42	)	)	PUNCT
ejpam-6379	148	43	]	]	PUNCT
ejpam-6379	148	44	iωω	iωω	NOUN
ejpam-6379	148	45	is	be	AUX
ejpam-6379	148	46	the	the	DET
ejpam-6379	148	47	indicator	indicator	NOUN
ejpam-6379	148	48	function	function	NOUN
ejpam-6379	148	49	of	of	ADP
ejpam-6379	148	50	ωω	ωω	PROPN
ejpam-6379	148	51	.	.	PROPN
ejpam-6379	148	52	set	set	PROPN
ejpam-6379	148	53	z	z	PROPN
ejpam-6379	148	54	−→	−→	NOUN
ejpam-6379	148	55	∞	∞	PROPN
ejpam-6379	148	56	,	,	PUNCT
ejpam-6379	148	57	we	we	PRON
ejpam-6379	148	58	have	have	VERB
ejpam-6379	148	59	∞	∞	PROPN
ejpam-6379	148	60	>	>	X
ejpam-6379	148	61	g(s(0	g(s(0	PROPN
ejpam-6379	148	62	)	)	PUNCT
ejpam-6379	148	63	,	,	PUNCT
ejpam-6379	148	64	e(0	e(0	NOUN
ejpam-6379	148	65	)	)	PUNCT
ejpam-6379	148	66	,	,	PUNCT
ejpam-6379	148	67	i(0	i(0	PROPN
ejpam-6379	148	68	)	)	PUNCT
ejpam-6379	148	69	,	,	PUNCT
ejpam-6379	148	70	h(0	h(0	PROPN
ejpam-6379	148	71	)	)	PUNCT
ejpam-6379	148	72	,	,	PUNCT
ejpam-6379	148	73	v	v	X
ejpam-6379	148	74	(	(	PUNCT
ejpam-6379	148	75	0	0	NUM
ejpam-6379	148	76	)	)	PUNCT
ejpam-6379	148	77	,	,	PUNCT
ejpam-6379	148	78	r(0	r(0	PROPN
ejpam-6379	148	79	)	)	PUNCT
ejpam-6379	148	80	)	)	PUNCT
ejpam-6379	149	1	+	+	VERB
ejpam-6379	149	2	kt	kt	X
ejpam-6379	149	3	>	>	X
ejpam-6379	149	4	∞	∞	PROPN
ejpam-6379	149	5	showing	show	VERB
ejpam-6379	149	6	that	that	SCONJ
ejpam-6379	149	7	t∞	t∞	NOUN
ejpam-6379	149	8	=	=	SYM
ejpam-6379	149	9	∞	∞	PROPN
ejpam-6379	149	10	,	,	PUNCT
ejpam-6379	149	11	a.s	a.s	PROPN
ejpam-6379	149	12	.	.	PROPN
ejpam-6379	149	13	lemma	lemma	PROPN
ejpam-6379	149	14	2	2	NUM
ejpam-6379	149	15	.	.	X
ejpam-6379	149	16	for	for	ADP
ejpam-6379	149	17	any	any	DET
ejpam-6379	149	18	positive	positive	ADJ
ejpam-6379	149	19	solution	solution	NOUN
ejpam-6379	149	20	(	(	PUNCT
ejpam-6379	149	21	s(t	s(t	PROPN
ejpam-6379	149	22	)	)	PUNCT
ejpam-6379	149	23	,	,	PUNCT
ejpam-6379	149	24	e(t	e(t	NOUN
ejpam-6379	149	25	)	)	PUNCT
ejpam-6379	149	26	,	,	PUNCT
ejpam-6379	149	27	i(t	i(t	PROPN
ejpam-6379	149	28	)	)	PUNCT
ejpam-6379	149	29	,	,	PUNCT
ejpam-6379	149	30	h(t	h(t	PROPN
ejpam-6379	149	31	)	)	PUNCT
ejpam-6379	149	32	,	,	PUNCT
ejpam-6379	149	33	v	v	X
ejpam-6379	149	34	(	(	PUNCT
ejpam-6379	149	35	t	t	NOUN
ejpam-6379	149	36	)	)	PUNCT
ejpam-6379	149	37	,	,	PUNCT
ejpam-6379	149	38	r(t	r(t	NOUN
ejpam-6379	149	39	)	)	PUNCT
ejpam-6379	149	40	)	)	PUNCT
ejpam-6379	149	41	of	of	ADP
ejpam-6379	149	42	stochastic	stochastic	ADJ
ejpam-6379	149	43	model	model	NOUN
ejpam-6379	149	44	(	(	PUNCT
ejpam-6379	149	45	2	2	NUM
ejpam-6379	149	46	)	)	PUNCT
ejpam-6379	149	47	with	with	ADP
ejpam-6379	149	48	initial	initial	ADJ
ejpam-6379	149	49	value	value	NOUN
ejpam-6379	149	50	(	(	PUNCT
ejpam-6379	149	51	s(0	s(0	PROPN
ejpam-6379	149	52	)	)	PUNCT
ejpam-6379	149	53	,	,	PUNCT
ejpam-6379	149	54	e(0	e(0	NOUN
ejpam-6379	149	55	)	)	PUNCT
ejpam-6379	149	56	,	,	PUNCT
ejpam-6379	149	57	i(0	i(0	PROPN
ejpam-6379	149	58	)	)	PUNCT
ejpam-6379	149	59	,	,	PUNCT
ejpam-6379	149	60	h(0	h(0	PROPN
ejpam-6379	149	61	)	)	PUNCT
ejpam-6379	149	62	,	,	PUNCT
ejpam-6379	149	63	v	v	X
ejpam-6379	149	64	(	(	PUNCT
ejpam-6379	149	65	0	0	NUM
ejpam-6379	149	66	)	)	PUNCT
ejpam-6379	149	67	,	,	PUNCT
ejpam-6379	149	68	r(0	r(0	PROPN
ejpam-6379	149	69	)	)	PUNCT
ejpam-6379	149	70	)	)	PUNCT
ejpam-6379	150	1	∈	∈	PROPN
ejpam-6379	150	2	r6	r6	NOUN
ejpam-6379	151	1	+	+	CCONJ
ejpam-6379	151	2	we	we	PRON
ejpam-6379	151	3	have	have	VERB
ejpam-6379	151	4	max{limt→∞	max{limt→∞	PROPN
ejpam-6379	151	5	sups(t	sups(t	PROPN
ejpam-6379	151	6	)	)	PUNCT
ejpam-6379	151	7	,	,	PUNCT
ejpam-6379	151	8	limt→∞	limt→∞	PROPN
ejpam-6379	151	9	supe(t	supe(t	NOUN
ejpam-6379	151	10	)	)	PUNCT
ejpam-6379	151	11	,	,	PUNCT
ejpam-6379	151	12	limt→∞	limt→∞	ADP
ejpam-6379	151	13	sup	sup	PROPN
ejpam-6379	151	14	i(t	i(t	PROPN
ejpam-6379	151	15	)	)	PUNCT
ejpam-6379	151	16	,	,	PUNCT
ejpam-6379	151	17	limt→∞	limt→∞	ADP
ejpam-6379	151	18	suph(t	suph(t	NOUN
ejpam-6379	151	19	)	)	PUNCT
ejpam-6379	151	20	,	,	PUNCT
ejpam-6379	151	21	limt→∞	limt→∞	ADP
ejpam-6379	151	22	supv	supv	NOUN
ejpam-6379	151	23	(	(	PUNCT
ejpam-6379	151	24	t	t	NOUN
ejpam-6379	151	25	)	)	PUNCT
ejpam-6379	151	26	,	,	PUNCT
ejpam-6379	151	27	limt→∞	limt→∞	PROPN
ejpam-6379	151	28	supr(t	supr(t	PROPN
ejpam-6379	151	29	)	)	PUNCT
ejpam-6379	151	30	}	}	PUNCT
ejpam-6379	151	31	≤	≤	NUM
ejpam-6379	151	32	λ	λ	PROPN
ejpam-6379	151	33	µ	µ	X
ejpam-6379	151	34	,	,	PUNCT
ejpam-6379	151	35	a.s	a.s	PROPN
ejpam-6379	151	36	.	.	PROPN
ejpam-6379	151	37	r.	r.	PROPN
ejpam-6379	151	38	saadeh	saadeh	PROPN
ejpam-6379	151	39	et	et	PROPN
ejpam-6379	151	40	al	al	PROPN
ejpam-6379	151	41	.	.	PUNCT
ejpam-6379	151	42	/	/	SYM
ejpam-6379	151	43	eur	eur	PROPN
ejpam-6379	151	44	.	.	PUNCT
ejpam-6379	152	1	j.	j.	PROPN
ejpam-6379	152	2	pure	pure	PROPN
ejpam-6379	152	3	appl	appl	PROPN
ejpam-6379	152	4	.	.	PROPN
ejpam-6379	152	5	math	math	PROPN
ejpam-6379	152	6	,	,	PUNCT
ejpam-6379	152	7	18	18	NUM
ejpam-6379	152	8	(	(	PUNCT
ejpam-6379	152	9	3	3	NUM
ejpam-6379	152	10	)	)	PUNCT
ejpam-6379	152	11	(	(	PUNCT
ejpam-6379	152	12	2025	2025	NUM
ejpam-6379	152	13	)	)	PUNCT
ejpam-6379	152	14	,	,	PUNCT
ejpam-6379	152	15	6379	6379	NUM
ejpam-6379	152	16	8	8	NUM
ejpam-6379	152	17	of	of	ADP
ejpam-6379	152	18	34	34	NUM
ejpam-6379	152	19	proof	proof	NOUN
ejpam-6379	152	20	.	.	PUNCT
ejpam-6379	153	1	from	from	ADP
ejpam-6379	153	2	stochastic	stochastic	ADJ
ejpam-6379	153	3	model	model	NOUN
ejpam-6379	153	4	(	(	PUNCT
ejpam-6379	153	5	2	2	NUM
ejpam-6379	153	6	)	)	PUNCT
ejpam-6379	153	7	,	,	PUNCT
ejpam-6379	153	8	we	we	PRON
ejpam-6379	153	9	have	have	VERB
ejpam-6379	153	10	lim	lim	PROPN
ejpam-6379	153	11	t→∞	t→∞	ADP
ejpam-6379	153	12	d(s(t	d(s(t	PROPN
ejpam-6379	153	13	)	)	PUNCT
ejpam-6379	153	14	+	+	SYM
ejpam-6379	154	1	e(t	e(t	NOUN
ejpam-6379	154	2	)	)	PUNCT
ejpam-6379	155	1	+	+	CCONJ
ejpam-6379	155	2	i(t	i(t	NOUN
ejpam-6379	155	3	)	)	PUNCT
ejpam-6379	156	1	+	+	VERB
ejpam-6379	156	2	h(t	h(t	X
ejpam-6379	156	3	)	)	PUNCT
ejpam-6379	157	1	+	+	CCONJ
ejpam-6379	157	2	v	v	X
ejpam-6379	157	3	(	(	PUNCT
ejpam-6379	157	4	t	t	NOUN
ejpam-6379	157	5	)	)	PUNCT
ejpam-6379	157	6	+	+	NOUN
ejpam-6379	157	7	r(t	r(t	NOUN
ejpam-6379	157	8	)	)	PUNCT
ejpam-6379	157	9	)	)	PUNCT
ejpam-6379	158	1	dt	dt	PUNCT
ejpam-6379	159	1	=	=	SYM
ejpam-6379	159	2	lim	lim	PROPN
ejpam-6379	159	3	t→∞	t→∞	X
ejpam-6379	159	4	(	(	PUNCT
ejpam-6379	159	5	λ−	λ−	PROPN
ejpam-6379	159	6	µ(s(t	µ(s(t	PROPN
ejpam-6379	159	7	)	)	PUNCT
ejpam-6379	159	8	+	+	NOUN
ejpam-6379	159	9	e(t	e(t	NOUN
ejpam-6379	159	10	)	)	PUNCT
ejpam-6379	159	11	+	+	CCONJ
ejpam-6379	159	12	i(t	i(t	NOUN
ejpam-6379	159	13	)	)	PUNCT
ejpam-6379	159	14	+	+	VERB
ejpam-6379	159	15	h(t	h(t	X
ejpam-6379	159	16	)	)	PUNCT
ejpam-6379	160	1	+	+	NOUN
ejpam-6379	160	2	v	v	NOUN
ejpam-6379	160	3	(	(	PUNCT
ejpam-6379	160	4	t	t	NOUN
ejpam-6379	160	5	)	)	PUNCT
ejpam-6379	160	6	+	+	NOUN
ejpam-6379	160	7	r(t))−	r(t))−	VERB
ejpam-6379	160	8	σv	σv	PROPN
ejpam-6379	160	9	)	)	PUNCT
ejpam-6379	160	10	lim	lim	PROPN
ejpam-6379	160	11	t→∞	t→∞	X
ejpam-6379	160	12	(	(	PUNCT
ejpam-6379	160	13	s(t	s(t	PROPN
ejpam-6379	160	14	)	)	PUNCT
ejpam-6379	160	15	+	+	SYM
ejpam-6379	160	16	e(t	e(t	NOUN
ejpam-6379	160	17	)	)	PUNCT
ejpam-6379	161	1	+	+	CCONJ
ejpam-6379	161	2	i(t	i(t	NOUN
ejpam-6379	161	3	)	)	PUNCT
ejpam-6379	162	1	+	+	VERB
ejpam-6379	162	2	h(t	h(t	X
ejpam-6379	162	3	)	)	PUNCT
ejpam-6379	163	1	+	+	CCONJ
ejpam-6379	163	2	v	v	X
ejpam-6379	163	3	(	(	PUNCT
ejpam-6379	163	4	t	t	NOUN
ejpam-6379	163	5	)	)	PUNCT
ejpam-6379	163	6	+	+	NOUN
ejpam-6379	163	7	r(t	r(t	NOUN
ejpam-6379	163	8	)	)	PUNCT
ejpam-6379	163	9	)	)	PUNCT
ejpam-6379	164	1	≤	≤	NUM
ejpam-6379	164	2	λ	λ	X
ejpam-6379	164	3	µ	µ	X
ejpam-6379	164	4	−	−	PROPN
ejpam-6379	164	5	λ	λ	PROPN
ejpam-6379	164	6	µ	µ	X
ejpam-6379	164	7	e−µt	e−µt	ADJ
ejpam-6379	164	8	≤	≤	NUM
ejpam-6379	164	9	λ	λ	PROPN
ejpam-6379	164	10	µ	µ	VERB
ejpam-6379	164	11	then	then	ADV
ejpam-6379	164	12	obviously	obviously	ADV
ejpam-6379	164	13	we	we	PRON
ejpam-6379	164	14	obtain	obtain	VERB
ejpam-6379	164	15	limt→∞	limt→∞	PROPN
ejpam-6379	164	16	sups(t	sups(t	PROPN
ejpam-6379	164	17	)	)	PUNCT
ejpam-6379	164	18	≤	≤	NUM
ejpam-6379	165	1	λ	λ	PROPN
ejpam-6379	165	2	µ	µ	X
ejpam-6379	165	3	,	,	PUNCT
ejpam-6379	165	4	limt→∞	limt→∞	PROPN
ejpam-6379	165	5	supe(t	supe(t	NOUN
ejpam-6379	165	6	)	)	PUNCT
ejpam-6379	165	7	≤	≤	NUM
ejpam-6379	165	8	λ	λ	PROPN
ejpam-6379	165	9	µ	µ	X
ejpam-6379	165	10	,	,	PUNCT
ejpam-6379	165	11	limt→∞	limt→∞	ADP
ejpam-6379	165	12	sup	sup	PROPN
ejpam-6379	165	13	i(t	i(t	PROPN
ejpam-6379	165	14	)	)	PUNCT
ejpam-6379	166	1	≤	≤	NUM
ejpam-6379	166	2	λ	λ	NOUN
ejpam-6379	166	3	µ	µ	X
ejpam-6379	166	4	limt→∞	limt→∞	PROPN
ejpam-6379	166	5	suph(t	suph(t	NOUN
ejpam-6379	166	6	)	)	PUNCT
ejpam-6379	166	7	≤	≤	NUM
ejpam-6379	167	1	λ	λ	PROPN
ejpam-6379	167	2	µ	µ	X
ejpam-6379	167	3	,	,	PUNCT
ejpam-6379	167	4	limt→∞	limt→∞	ADP
ejpam-6379	167	5	supv	supv	NOUN
ejpam-6379	167	6	(	(	PUNCT
ejpam-6379	167	7	t	t	NOUN
ejpam-6379	167	8	)	)	PUNCT
ejpam-6379	167	9	≤	≤	NUM
ejpam-6379	168	1	λ	λ	PROPN
ejpam-6379	168	2	µ	µ	X
ejpam-6379	168	3	,	,	PUNCT
ejpam-6379	168	4	limt→∞	limt→∞	PROPN
ejpam-6379	168	5	supr(t	supr(t	PROPN
ejpam-6379	168	6	)	)	PUNCT
ejpam-6379	168	7	≤	≤	NUM
ejpam-6379	168	8	λ	λ	PROPN
ejpam-6379	168	9	µ	µ	X
ejpam-6379	168	10	,	,	PUNCT
ejpam-6379	168	11	a.s	a.s	PROPN
ejpam-6379	168	12	.	.	PROPN
ejpam-6379	168	13	3.2	3.2	NUM
ejpam-6379	168	14	.	.	PUNCT
ejpam-6379	169	1	extinction	extinction	NOUN
ejpam-6379	169	2	in	in	ADP
ejpam-6379	169	3	this	this	DET
ejpam-6379	169	4	section	section	NOUN
ejpam-6379	169	5	,	,	PUNCT
ejpam-6379	169	6	we	we	PRON
ejpam-6379	169	7	investigate	investigate	VERB
ejpam-6379	169	8	the	the	DET
ejpam-6379	169	9	conditions	condition	NOUN
ejpam-6379	169	10	for	for	ADP
ejpam-6379	169	11	the	the	DET
ejpam-6379	169	12	extinction	extinction	NOUN
ejpam-6379	169	13	of	of	ADP
ejpam-6379	169	14	the	the	DET
ejpam-6379	169	15	disease	disease	NOUN
ejpam-6379	169	16	in	in	ADP
ejpam-6379	169	17	the	the	DET
ejpam-6379	169	18	stochastic	stochastic	ADJ
ejpam-6379	169	19	model	model	NOUN
ejpam-6379	169	20	(	(	PUNCT
ejpam-6379	169	21	2	2	NUM
ejpam-6379	169	22	)	)	PUNCT
ejpam-6379	169	23	under	under	ADP
ejpam-6379	169	24	the	the	DET
ejpam-6379	169	25	white	white	ADJ
ejpam-6379	169	26	noise	noise	NOUN
ejpam-6379	169	27	stochastic	stochastic	ADJ
ejpam-6379	169	28	disturbance	disturbance	NOUN
ejpam-6379	169	29	.	.	PUNCT
ejpam-6379	170	1	the	the	DET
ejpam-6379	170	2	following	follow	VERB
ejpam-6379	170	3	theorem	theorem	NOUN
ejpam-6379	170	4	gives	give	VERB
ejpam-6379	170	5	conditions	condition	NOUN
ejpam-6379	170	6	for	for	ADP
ejpam-6379	170	7	i(t	i(t	NOUN
ejpam-6379	170	8	)	)	PUNCT
ejpam-6379	170	9	and	and	CCONJ
ejpam-6379	170	10	h(t	h(t	PROPN
ejpam-6379	170	11	)	)	PUNCT
ejpam-6379	170	12	got	get	VERB
ejpam-6379	170	13	extinction	extinction	NOUN
ejpam-6379	170	14	.	.	PUNCT
ejpam-6379	171	1	theorem	theorem	NOUN
ejpam-6379	171	2	1	1	NUM
ejpam-6379	171	3	.	.	PUNCT
ejpam-6379	172	1	if	if	SCONJ
ejpam-6379	172	2	(	(	PUNCT
ejpam-6379	172	3	γ2	γ2	NOUN
ejpam-6379	172	4	+	+	CCONJ
ejpam-6379	172	5	ϵ	ϵ	X
ejpam-6379	172	6	+	+	X
ejpam-6379	172	7	µ	µ	X
ejpam-6379	172	8	)	)	PUNCT
ejpam-6379	172	9	+	+	CCONJ
ejpam-6379	172	10	1	1	NUM
ejpam-6379	172	11	2δ	2δ	NUM
ejpam-6379	172	12	2	2	NUM
ejpam-6379	172	13	3	3	NUM
ejpam-6379	172	14	>	>	SYM
ejpam-6379	172	15	ωλ	ωλ	ADP
ejpam-6379	172	16	µ	µ	PROPN
ejpam-6379	172	17	,	,	PUNCT
ejpam-6379	172	18	then	then	ADV
ejpam-6379	172	19	i(t	i(t	PROPN
ejpam-6379	172	20	)	)	PUNCT
ejpam-6379	172	21	go	go	VERB
ejpam-6379	172	22	to	to	ADP
ejpam-6379	172	23	extinction	extinction	NOUN
ejpam-6379	172	24	almost	almost	ADV
ejpam-6379	172	25	surely	surely	ADV
ejpam-6379	172	26	.	.	PUNCT
ejpam-6379	173	1	if	if	SCONJ
ejpam-6379	173	2	(	(	PUNCT
ejpam-6379	173	3	γ3	γ3	NOUN
ejpam-6379	173	4	+	+	CCONJ
ejpam-6379	173	5	µ	µ	X
ejpam-6379	173	6	)	)	PUNCT
ejpam-6379	173	7	+	+	CCONJ
ejpam-6379	173	8	1	1	NUM
ejpam-6379	173	9	2δ	2δ	NUM
ejpam-6379	173	10	2	2	NUM
ejpam-6379	173	11	4	4	NUM
ejpam-6379	173	12	>	>	X
ejpam-6379	173	13	ϵλ	ϵλ	PROPN
ejpam-6379	173	14	µ	µ	X
ejpam-6379	173	15	,	,	PUNCT
ejpam-6379	173	16	then	then	ADV
ejpam-6379	173	17	h(t	h(t	PROPN
ejpam-6379	173	18	)	)	PUNCT
ejpam-6379	173	19	go	go	VERB
ejpam-6379	173	20	to	to	ADP
ejpam-6379	173	21	extinction	extinction	NOUN
ejpam-6379	173	22	almost	almost	ADV
ejpam-6379	173	23	surely	surely	ADV
ejpam-6379	173	24	.	.	PUNCT
ejpam-6379	174	1	proof	proof	NOUN
ejpam-6379	174	2	.	.	PUNCT
ejpam-6379	175	1	let	let	VERB
ejpam-6379	175	2	(	(	PUNCT
ejpam-6379	175	3	s(t	s(t	PROPN
ejpam-6379	175	4	)	)	PUNCT
ejpam-6379	175	5	,	,	PUNCT
ejpam-6379	175	6	e(t	e(t	NOUN
ejpam-6379	175	7	)	)	PUNCT
ejpam-6379	175	8	,	,	PUNCT
ejpam-6379	175	9	i(t	i(t	PROPN
ejpam-6379	175	10	)	)	PUNCT
ejpam-6379	175	11	,	,	PUNCT
ejpam-6379	175	12	h(t	h(t	PROPN
ejpam-6379	175	13	)	)	PUNCT
ejpam-6379	175	14	,	,	PUNCT
ejpam-6379	175	15	v	v	X
ejpam-6379	175	16	(	(	PUNCT
ejpam-6379	175	17	t	t	NOUN
ejpam-6379	175	18	)	)	PUNCT
ejpam-6379	175	19	,	,	PUNCT
ejpam-6379	175	20	r(t	r(t	NOUN
ejpam-6379	175	21	)	)	PUNCT
ejpam-6379	175	22	)	)	PUNCT
ejpam-6379	175	23	be	be	AUX
ejpam-6379	175	24	a	a	DET
ejpam-6379	175	25	solution	solution	NOUN
ejpam-6379	175	26	of	of	ADP
ejpam-6379	175	27	stochastic	stochastic	ADJ
ejpam-6379	175	28	model	model	NOUN
ejpam-6379	175	29	(	(	PUNCT
ejpam-6379	175	30	2	2	NUM
ejpam-6379	175	31	)	)	PUNCT
ejpam-6379	175	32	with	with	ADP
ejpam-6379	175	33	initial	initial	ADJ
ejpam-6379	175	34	value	value	NOUN
ejpam-6379	175	35	(	(	PUNCT
ejpam-6379	175	36	s(0	s(0	PROPN
ejpam-6379	175	37	)	)	PUNCT
ejpam-6379	175	38	,	,	PUNCT
ejpam-6379	175	39	e(0	e(0	NOUN
ejpam-6379	175	40	)	)	PUNCT
ejpam-6379	175	41	,	,	PUNCT
ejpam-6379	175	42	i(0	i(0	PROPN
ejpam-6379	175	43	)	)	PUNCT
ejpam-6379	175	44	,	,	PUNCT
ejpam-6379	175	45	h(0	h(0	PROPN
ejpam-6379	175	46	)	)	PUNCT
ejpam-6379	175	47	,	,	PUNCT
ejpam-6379	175	48	v	v	X
ejpam-6379	175	49	(	(	PUNCT
ejpam-6379	175	50	0	0	NUM
ejpam-6379	175	51	)	)	PUNCT
ejpam-6379	175	52	,	,	PUNCT
ejpam-6379	175	53	r(0	r(0	PROPN
ejpam-6379	175	54	)	)	PUNCT
ejpam-6379	175	55	)	)	PUNCT
ejpam-6379	176	1	∈	∈	PROPN
ejpam-6379	176	2	r6	r6	NOUN
ejpam-6379	176	3	+	+	PROPN
ejpam-6379	176	4	.	.	PUNCT
ejpam-6379	177	1	applying	apply	VERB
ejpam-6379	177	2	itô	itô	PROPN
ejpam-6379	177	3	’s	’s	PART
ejpam-6379	177	4	formula	formula	NOUN
ejpam-6379	177	5	to	to	ADP
ejpam-6379	177	6	the	the	DET
ejpam-6379	177	7	third	third	ADJ
ejpam-6379	177	8	equation	equation	NOUN
ejpam-6379	177	9	of	of	ADP
ejpam-6379	177	10	stochastic	stochastic	ADJ
ejpam-6379	177	11	model	model	NOUN
ejpam-6379	177	12	(	(	PUNCT
ejpam-6379	177	13	2	2	NUM
ejpam-6379	177	14	)	)	PUNCT
ejpam-6379	177	15	,	,	PUNCT
ejpam-6379	177	16	we	we	PRON
ejpam-6379	177	17	get	get	VERB
ejpam-6379	177	18	di(t	di(t	NOUN
ejpam-6379	177	19	)	)	PUNCT
ejpam-6379	178	1	=	=	SYM
ejpam-6379	178	2	(	(	PUNCT
ejpam-6379	178	3	ωe	ωe	ADV
ejpam-6379	178	4	i	i	PRON
ejpam-6379	178	5	−	−	PROPN
ejpam-6379	178	6	(	(	PUNCT
ejpam-6379	178	7	γ2	γ2	PROPN
ejpam-6379	178	8	+	+	CCONJ
ejpam-6379	178	9	ϵ+	ϵ+	X
ejpam-6379	178	10	µ	µ	X
ejpam-6379	178	11	)	)	PUNCT
ejpam-6379	178	12	)	)	PUNCT
ejpam-6379	178	13	i(t)dt+	i(t)dt+	NOUN
ejpam-6379	178	14	δ3i(t)db3(t	δ3i(t)db3(t	ADJ
ejpam-6379	178	15	)	)	PUNCT
ejpam-6379	178	16	d(ln	d(ln	PROPN
ejpam-6379	178	17	i(t	i(t	PROPN
ejpam-6379	178	18	)	)	PUNCT
ejpam-6379	178	19	)	)	PUNCT
ejpam-6379	179	1	=	=	PRON
ejpam-6379	179	2	(	(	PUNCT
ejpam-6379	179	3	f(t)−	f(t)−	PROPN
ejpam-6379	179	4	1	1	NUM
ejpam-6379	179	5	2	2	NUM
ejpam-6379	179	6	g2(t	g2(t	NOUN
ejpam-6379	179	7	)	)	PUNCT
ejpam-6379	179	8	)	)	PUNCT
ejpam-6379	179	9	dt+	dt+	NOUN
ejpam-6379	179	10	g(t)db(t	g(t)db(t	NOUN
ejpam-6379	179	11	)	)	PUNCT
ejpam-6379	179	12	=	=	SYM
ejpam-6379	180	1	(	(	PUNCT
ejpam-6379	180	2	ωe	ωe	ADV
ejpam-6379	180	3	i	i	PRON
ejpam-6379	180	4	−	−	PROPN
ejpam-6379	180	5	(	(	PUNCT
ejpam-6379	180	6	γ2	γ2	PROPN
ejpam-6379	180	7	+	+	CCONJ
ejpam-6379	180	8	ϵ+	ϵ+	PUNCT
ejpam-6379	180	9	µ)−	µ)−	NOUN
ejpam-6379	180	10	1	1	NUM
ejpam-6379	180	11	2	2	NUM
ejpam-6379	180	12	δ23	δ23	ADJ
ejpam-6379	180	13	)	)	PUNCT
ejpam-6379	180	14	dt+	dt+	NOUN
ejpam-6379	180	15	δ3	δ3	PROPN
ejpam-6379	180	16	db3(t	db3(t	PROPN
ejpam-6379	180	17	)	)	PUNCT
ejpam-6379	180	18	integration	integration	NOUN
ejpam-6379	180	19	from	from	ADP
ejpam-6379	180	20	0	0	NUM
ejpam-6379	180	21	to	to	ADP
ejpam-6379	180	22	t	t	PROPN
ejpam-6379	181	1	,	,	PUNCT
ejpam-6379	181	2	then	then	ADV
ejpam-6379	181	3	ln	ln	ADV
ejpam-6379	181	4	i(t)−	i(t)−	PROPN
ejpam-6379	181	5	ln	ln	ADJ
ejpam-6379	181	6	i(0	i(0	PROPN
ejpam-6379	181	7	)	)	PUNCT
ejpam-6379	181	8	=	=	SYM
ejpam-6379	182	1	∫	∫	PROPN
ejpam-6379	182	2	t	t	PROPN
ejpam-6379	182	3	0	0	NUM
ejpam-6379	183	1	(	(	PUNCT
ejpam-6379	183	2	ωe	ωe	ADV
ejpam-6379	183	3	i	i	PRON
ejpam-6379	183	4	−	−	PROPN
ejpam-6379	183	5	(	(	PUNCT
ejpam-6379	183	6	γ2	γ2	PROPN
ejpam-6379	183	7	+	+	CCONJ
ejpam-6379	183	8	ϵ+	ϵ+	PUNCT
ejpam-6379	184	1	µ)−	µ)−	NOUN
ejpam-6379	184	2	1	1	NUM
ejpam-6379	184	3	2	2	NUM
ejpam-6379	184	4	δ23	δ23	ADJ
ejpam-6379	184	5	)	)	PUNCT
ejpam-6379	184	6	du+	du+	NOUN
ejpam-6379	184	7	∫	∫	PROPN
ejpam-6379	184	8	t	t	PROPN
ejpam-6379	184	9	0	0	NUM
ejpam-6379	184	10	δ3db3	δ3db3	PROPN
ejpam-6379	184	11	ln	ln	PROPN
ejpam-6379	184	12	i(t	i(t	PROPN
ejpam-6379	184	13	)	)	PUNCT
ejpam-6379	184	14	≤	≤	NOUN
ejpam-6379	184	15	ln	ln	ADJ
ejpam-6379	184	16	i(0	i(0	PROPN
ejpam-6379	184	17	)	)	PUNCT
ejpam-6379	185	1	+	+	CCONJ
ejpam-6379	185	2	∫	∫	PROPN
ejpam-6379	185	3	t	t	PROPN
ejpam-6379	185	4	0	0	NUM
ejpam-6379	185	5	(	(	PUNCT
ejpam-6379	185	6	ωλ	ωλ	ADP
ejpam-6379	185	7	µ	µ	NOUN
ejpam-6379	185	8	−	−	PROPN
ejpam-6379	185	9	(	(	PUNCT
ejpam-6379	185	10	γ2	γ2	PROPN
ejpam-6379	185	11	+	+	CCONJ
ejpam-6379	185	12	ϵ+	ϵ+	PUNCT
ejpam-6379	186	1	µ)−	µ)−	NOUN
ejpam-6379	186	2	1	1	NUM
ejpam-6379	186	3	2	2	NUM
ejpam-6379	186	4	δ23	δ23	ADJ
ejpam-6379	186	5	)	)	PUNCT
ejpam-6379	186	6	du+	du+	NOUN
ejpam-6379	186	7	∫	∫	PROPN
ejpam-6379	186	8	t	t	PROPN
ejpam-6379	186	9	0	0	NUM
ejpam-6379	186	10	δ3db3	δ3db3	PROPN
ejpam-6379	186	11	≤	≤	PROPN
ejpam-6379	186	12	ln	ln	PROPN
ejpam-6379	186	13	i(0)−	i(0)−	PROPN
ejpam-6379	186	14	(	(	PUNCT
ejpam-6379	186	15	(	(	PUNCT
ejpam-6379	186	16	γ2	γ2	PROPN
ejpam-6379	186	17	+	+	CCONJ
ejpam-6379	186	18	ϵ+	ϵ+	X
ejpam-6379	186	19	µ	µ	X
ejpam-6379	186	20	)	)	PUNCT
ejpam-6379	186	21	+	+	CCONJ
ejpam-6379	186	22	1	1	NUM
ejpam-6379	186	23	2	2	NUM
ejpam-6379	186	24	δ23	δ23	ADP
ejpam-6379	186	25	−	−	PROPN
ejpam-6379	186	26	ωλ	ωλ	NOUN
ejpam-6379	186	27	µ	µ	NOUN
ejpam-6379	186	28	)	)	PUNCT
ejpam-6379	186	29	t+	t+	PUNCT
ejpam-6379	186	30	δ3b3	δ3b3	X
ejpam-6379	186	31	r.	r.	PROPN
ejpam-6379	186	32	saadeh	saadeh	PROPN
ejpam-6379	186	33	et	et	PROPN
ejpam-6379	186	34	al	al	PROPN
ejpam-6379	186	35	.	.	PUNCT
ejpam-6379	186	36	/	/	SYM
ejpam-6379	186	37	eur	eur	PROPN
ejpam-6379	186	38	.	.	PUNCT
ejpam-6379	187	1	j.	j.	PROPN
ejpam-6379	187	2	pure	pure	PROPN
ejpam-6379	187	3	appl	appl	PROPN
ejpam-6379	187	4	.	.	PROPN
ejpam-6379	187	5	math	math	PROPN
ejpam-6379	187	6	,	,	PUNCT
ejpam-6379	187	7	18	18	NUM
ejpam-6379	187	8	(	(	PUNCT
ejpam-6379	187	9	3	3	NUM
ejpam-6379	187	10	)	)	PUNCT
ejpam-6379	187	11	(	(	PUNCT
ejpam-6379	187	12	2025	2025	NUM
ejpam-6379	187	13	)	)	PUNCT
ejpam-6379	187	14	,	,	PUNCT
ejpam-6379	187	15	6379	6379	NUM
ejpam-6379	187	16	9	9	NUM
ejpam-6379	187	17	of	of	ADP
ejpam-6379	187	18	34	34	NUM
ejpam-6379	187	19	dividing	dividing	NOUN
ejpam-6379	187	20	by	by	ADP
ejpam-6379	187	21	t	t	PROPN
ejpam-6379	187	22	,	,	PUNCT
ejpam-6379	187	23	we	we	PRON
ejpam-6379	187	24	have	have	VERB
ejpam-6379	187	25	ln	ln	ADJ
ejpam-6379	187	26	i(t	i(t	NOUN
ejpam-6379	187	27	)	)	PUNCT
ejpam-6379	187	28	t	t	PROPN
ejpam-6379	187	29	≤	≤	NOUN
ejpam-6379	187	30	ln	ln	PROPN
ejpam-6379	187	31	i(0	i(0	PROPN
ejpam-6379	187	32	)	)	PUNCT
ejpam-6379	187	33	t	t	NOUN
ejpam-6379	187	34	−	−	PROPN
ejpam-6379	188	1	(	(	PUNCT
ejpam-6379	188	2	(	(	PUNCT
ejpam-6379	188	3	γ2	γ2	NOUN
ejpam-6379	188	4	+	+	CCONJ
ejpam-6379	188	5	ϵ+	ϵ+	X
ejpam-6379	188	6	µ	µ	X
ejpam-6379	188	7	)	)	PUNCT
ejpam-6379	188	8	+	+	CCONJ
ejpam-6379	188	9	1	1	NUM
ejpam-6379	188	10	2	2	NUM
ejpam-6379	188	11	δ23	δ23	ADP
ejpam-6379	188	12	−	−	PROPN
ejpam-6379	188	13	ωλ	ωλ	NOUN
ejpam-6379	188	14	µ	µ	NOUN
ejpam-6379	188	15	)	)	PUNCT
ejpam-6379	189	1	+	+	CCONJ
ejpam-6379	189	2	δ3b3	δ3b3	PUNCT
ejpam-6379	189	3	t	t	NOUN
ejpam-6379	189	4	by	by	ADP
ejpam-6379	189	5	using	use	VERB
ejpam-6379	189	6	the	the	DET
ejpam-6379	189	7	strong	strong	ADJ
ejpam-6379	189	8	law	law	NOUN
ejpam-6379	189	9	of	of	ADP
ejpam-6379	189	10	large	large	ADJ
ejpam-6379	189	11	numbers	number	NOUN
ejpam-6379	189	12	[	[	X
ejpam-6379	189	13	40	40	NUM
ejpam-6379	189	14	]	]	PUNCT
ejpam-6379	189	15	,	,	PUNCT
ejpam-6379	189	16	we	we	PRON
ejpam-6379	189	17	obtain	obtain	VERB
ejpam-6379	189	18	lim	lim	PROPN
ejpam-6379	189	19	t→∞	t→∞	ADP
ejpam-6379	189	20	δ3b3	δ3b3	X
ejpam-6379	189	21	t	t	NOUN
ejpam-6379	189	22	=	=	SYM
ejpam-6379	189	23	0	0	NUM
ejpam-6379	189	24	lim	lim	PROPN
ejpam-6379	189	25	t→∞	t→∞	NUM
ejpam-6379	189	26	ln	ln	PROPN
ejpam-6379	189	27	i(t	i(t	PROPN
ejpam-6379	189	28	)	)	PUNCT
ejpam-6379	189	29	t	t	NOUN
ejpam-6379	189	30	≤	≤	NUM
ejpam-6379	189	31	−	−	PROPN
ejpam-6379	190	1	(	(	PUNCT
ejpam-6379	190	2	(	(	PUNCT
ejpam-6379	190	3	γ2	γ2	NOUN
ejpam-6379	190	4	+	+	CCONJ
ejpam-6379	190	5	ϵ+	ϵ+	X
ejpam-6379	190	6	µ	µ	X
ejpam-6379	190	7	)	)	PUNCT
ejpam-6379	190	8	+	+	CCONJ
ejpam-6379	190	9	1	1	NUM
ejpam-6379	190	10	2	2	NUM
ejpam-6379	190	11	δ23	δ23	ADP
ejpam-6379	190	12	−	−	PROPN
ejpam-6379	190	13	ωλ	ωλ	NOUN
ejpam-6379	190	14	µ	µ	NOUN
ejpam-6379	190	15	)	)	PUNCT
ejpam-6379	190	16	(	(	PUNCT
ejpam-6379	190	17	7	7	NUM
ejpam-6379	190	18	)	)	PUNCT
ejpam-6379	190	19	since	since	SCONJ
ejpam-6379	190	20	(	(	PUNCT
ejpam-6379	190	21	γ2	γ2	PROPN
ejpam-6379	190	22	+	+	CCONJ
ejpam-6379	190	23	ϵ+	ϵ+	X
ejpam-6379	190	24	µ	µ	X
ejpam-6379	190	25	)	)	PUNCT
ejpam-6379	190	26	+	+	CCONJ
ejpam-6379	190	27	1	1	NUM
ejpam-6379	190	28	2δ	2δ	NUM
ejpam-6379	190	29	2	2	NUM
ejpam-6379	190	30	3	3	NUM
ejpam-6379	190	31	>	>	SYM
ejpam-6379	190	32	ωλ	ωλ	ADP
ejpam-6379	190	33	µ	µ	PROPN
ejpam-6379	190	34	,	,	PUNCT
ejpam-6379	190	35	taking	take	VERB
ejpam-6379	190	36	the	the	DET
ejpam-6379	190	37	limit	limit	NOUN
ejpam-6379	190	38	superior	superior	ADJ
ejpam-6379	190	39	of	of	ADP
ejpam-6379	190	40	both	both	DET
ejpam-6379	190	41	sides	side	NOUN
ejpam-6379	190	42	leads	lead	VERB
ejpam-6379	190	43	to	to	ADP
ejpam-6379	190	44	lim	lim	PROPN
ejpam-6379	190	45	t→∞	t→∞	NUM
ejpam-6379	190	46	sup	sup	NOUN
ejpam-6379	190	47	ln	ln	ADJ
ejpam-6379	190	48	i(t	i(t	PROPN
ejpam-6379	190	49	)	)	PUNCT
ejpam-6379	190	50	t	t	NOUN
ejpam-6379	190	51	≤	≤	NUM
ejpam-6379	190	52	−	−	PROPN
ejpam-6379	191	1	(	(	PUNCT
ejpam-6379	191	2	(	(	PUNCT
ejpam-6379	191	3	γ2	γ2	NOUN
ejpam-6379	191	4	+	+	CCONJ
ejpam-6379	191	5	ϵ+	ϵ+	X
ejpam-6379	191	6	µ	µ	X
ejpam-6379	191	7	)	)	PUNCT
ejpam-6379	191	8	+	+	CCONJ
ejpam-6379	191	9	1	1	NUM
ejpam-6379	191	10	2	2	NUM
ejpam-6379	191	11	δ23	δ23	ADP
ejpam-6379	191	12	−	−	PROPN
ejpam-6379	191	13	ωλ	ωλ	NOUN
ejpam-6379	191	14	µ	µ	NOUN
ejpam-6379	191	15	)	)	PUNCT
ejpam-6379	191	16	<	<	X
ejpam-6379	191	17	0	0	NUM
ejpam-6379	191	18	,	,	PUNCT
ejpam-6379	191	19	a.s	a.s	PROPN
ejpam-6379	191	20	.	.	PROPN
ejpam-6379	191	21	(	(	PUNCT
ejpam-6379	191	22	8)	8)	NUM
ejpam-6379	191	23	which	which	PRON
ejpam-6379	191	24	implies	imply	VERB
ejpam-6379	191	25	limt→∞	limt→∞	ADP
ejpam-6379	191	26	i(t	i(t	NOUN
ejpam-6379	191	27	)	)	PUNCT
ejpam-6379	191	28	=	=	SYM
ejpam-6379	191	29	0	0	NUM
ejpam-6379	191	30	from	from	ADP
ejpam-6379	191	31	the	the	DET
ejpam-6379	191	32	fourth	fourth	ADJ
ejpam-6379	191	33	equation	equation	NOUN
ejpam-6379	191	34	of	of	ADP
ejpam-6379	191	35	system	system	NOUN
ejpam-6379	191	36	dh(t	dh(t	NOUN
ejpam-6379	191	37	)	)	PUNCT
ejpam-6379	191	38	=	=	SYM
ejpam-6379	191	39	(	(	PUNCT
ejpam-6379	191	40	ϵi	ϵi	INTJ
ejpam-6379	191	41	h	h	NOUN
ejpam-6379	191	42	−	−	PROPN
ejpam-6379	192	1	(	(	PUNCT
ejpam-6379	192	2	γ3	γ3	NOUN
ejpam-6379	192	3	+	+	CCONJ
ejpam-6379	192	4	µ	µ	NOUN
ejpam-6379	192	5	)	)	PUNCT
ejpam-6379	192	6	)	)	PUNCT
ejpam-6379	192	7	h(t)dt+	h(t)dt+	VERB
ejpam-6379	192	8	δ4h(t)db4(t	δ4h(t)db4(t	ADJ
ejpam-6379	192	9	)	)	PUNCT
ejpam-6379	192	10	d(lnh(t	d(lnh(t	NOUN
ejpam-6379	192	11	)	)	PUNCT
ejpam-6379	192	12	)	)	PUNCT
ejpam-6379	193	1	=	=	PUNCT
ejpam-6379	193	2	(	(	PUNCT
ejpam-6379	193	3	ϵi	ϵi	INTJ
ejpam-6379	193	4	h	h	NOUN
ejpam-6379	193	5	−	−	PROPN
ejpam-6379	193	6	(	(	PUNCT
ejpam-6379	193	7	γ3	γ3	NOUN
ejpam-6379	193	8	+	+	CCONJ
ejpam-6379	193	9	µ)−	µ)−	NOUN
ejpam-6379	193	10	1	1	NUM
ejpam-6379	193	11	2	2	NUM
ejpam-6379	193	12	δ24	δ24	NOUN
ejpam-6379	193	13	)	)	PUNCT
ejpam-6379	193	14	dt+	dt+	NOUN
ejpam-6379	193	15	δ4	δ4	NOUN
ejpam-6379	193	16	db4(t	db4(t	PROPN
ejpam-6379	193	17	)	)	PUNCT
ejpam-6379	193	18	integration	integration	NOUN
ejpam-6379	193	19	from	from	ADP
ejpam-6379	193	20	0	0	NUM
ejpam-6379	193	21	to	to	ADP
ejpam-6379	193	22	t	t	PROPN
ejpam-6379	193	23	,	,	PUNCT
ejpam-6379	193	24	then	then	ADV
ejpam-6379	193	25	lnh(t)−	lnh(t)−	PROPN
ejpam-6379	193	26	lnh(0	lnh(0	NOUN
ejpam-6379	193	27	)	)	PUNCT
ejpam-6379	194	1	=	=	SYM
ejpam-6379	195	1	∫	∫	PROPN
ejpam-6379	195	2	t	t	PROPN
ejpam-6379	195	3	0	0	NUM
ejpam-6379	196	1	(	(	PUNCT
ejpam-6379	196	2	ϵi	ϵi	INTJ
ejpam-6379	196	3	h	h	NOUN
ejpam-6379	196	4	−	−	PROPN
ejpam-6379	196	5	(	(	PUNCT
ejpam-6379	196	6	γ3	γ3	NOUN
ejpam-6379	196	7	+	+	CCONJ
ejpam-6379	196	8	µ)−	µ)−	NOUN
ejpam-6379	196	9	1	1	NUM
ejpam-6379	196	10	2	2	NUM
ejpam-6379	196	11	δ24	δ24	NOUN
ejpam-6379	196	12	)	)	PUNCT
ejpam-6379	197	1	du+	du+	NOUN
ejpam-6379	197	2	∫	∫	PROPN
ejpam-6379	197	3	t	t	PROPN
ejpam-6379	197	4	0	0	NUM
ejpam-6379	197	5	δ4db4	δ4db4	PROPN
ejpam-6379	197	6	lnh(t	lnh(t	PROPN
ejpam-6379	197	7	)	)	PUNCT
ejpam-6379	197	8	≤	≤	NOUN
ejpam-6379	197	9	lnh(0)−	lnh(0)−	NOUN
ejpam-6379	197	10	(	(	PUNCT
ejpam-6379	197	11	(	(	PUNCT
ejpam-6379	197	12	γ3	γ3	NOUN
ejpam-6379	197	13	+	+	CCONJ
ejpam-6379	197	14	µ	µ	X
ejpam-6379	197	15	)	)	PUNCT
ejpam-6379	197	16	+	+	CCONJ
ejpam-6379	197	17	1	1	NUM
ejpam-6379	197	18	2	2	NUM
ejpam-6379	197	19	δ24	δ24	NOUN
ejpam-6379	197	20	−	−	PROPN
ejpam-6379	197	21	ϵλ	ϵλ	PROPN
ejpam-6379	197	22	µ	µ	X
ejpam-6379	197	23	)	)	PUNCT
ejpam-6379	197	24	t+	t+	PUNCT
ejpam-6379	198	1	δ4b4	δ4b4	ADP
ejpam-6379	198	2	dividing	divide	VERB
ejpam-6379	198	3	by	by	ADP
ejpam-6379	198	4	t	t	PROPN
ejpam-6379	198	5	,	,	PUNCT
ejpam-6379	198	6	we	we	PRON
ejpam-6379	198	7	have	have	VERB
ejpam-6379	198	8	lnh(t	lnh(t	PROPN
ejpam-6379	198	9	)	)	PUNCT
ejpam-6379	198	10	t	t	NOUN
ejpam-6379	198	11	≤	≤	NUM
ejpam-6379	198	12	lnh(0	lnh(0	NOUN
ejpam-6379	198	13	)	)	PUNCT
ejpam-6379	199	1	t	t	NOUN
ejpam-6379	199	2	−	−	PROPN
ejpam-6379	200	1	(	(	PUNCT
ejpam-6379	200	2	(	(	PUNCT
ejpam-6379	200	3	γ3	γ3	NOUN
ejpam-6379	200	4	+	+	CCONJ
ejpam-6379	200	5	µ	µ	X
ejpam-6379	200	6	)	)	PUNCT
ejpam-6379	200	7	+	+	CCONJ
ejpam-6379	200	8	1	1	NUM
ejpam-6379	200	9	2	2	NUM
ejpam-6379	200	10	δ24	δ24	NOUN
ejpam-6379	200	11	−	−	PROPN
ejpam-6379	200	12	ϵλ	ϵλ	PROPN
ejpam-6379	200	13	µ	µ	PROPN
ejpam-6379	200	14	)	)	PUNCT
ejpam-6379	201	1	+	+	CCONJ
ejpam-6379	201	2	δ4b4	δ4b4	PROPN
ejpam-6379	201	3	t	t	PROPN
ejpam-6379	201	4	lim	lim	PROPN
ejpam-6379	201	5	t→∞	t→∞	X
ejpam-6379	201	6	lnh(t	lnh(t	PROPN
ejpam-6379	201	7	)	)	PUNCT
ejpam-6379	201	8	t	t	NOUN
ejpam-6379	201	9	≤	≤	NUM
ejpam-6379	201	10	−	−	PROPN
ejpam-6379	202	1	(	(	PUNCT
ejpam-6379	202	2	(	(	PUNCT
ejpam-6379	202	3	γ3	γ3	NOUN
ejpam-6379	202	4	+	+	CCONJ
ejpam-6379	202	5	µ	µ	X
ejpam-6379	202	6	)	)	PUNCT
ejpam-6379	202	7	+	+	CCONJ
ejpam-6379	202	8	1	1	NUM
ejpam-6379	202	9	2	2	NUM
ejpam-6379	202	10	δ24	δ24	NOUN
ejpam-6379	202	11	−	−	PROPN
ejpam-6379	202	12	ϵλ	ϵλ	PROPN
ejpam-6379	202	13	µ	µ	PROPN
ejpam-6379	202	14	)	)	PUNCT
ejpam-6379	202	15	(	(	PUNCT
ejpam-6379	202	16	9	9	NUM
ejpam-6379	202	17	)	)	PUNCT
ejpam-6379	202	18	since	since	SCONJ
ejpam-6379	202	19	(	(	PUNCT
ejpam-6379	202	20	γ3	γ3	NOUN
ejpam-6379	202	21	+	+	CCONJ
ejpam-6379	202	22	µ	µ	X
ejpam-6379	202	23	)	)	PUNCT
ejpam-6379	202	24	+	+	CCONJ
ejpam-6379	202	25	1	1	NUM
ejpam-6379	202	26	2δ	2δ	NUM
ejpam-6379	202	27	2	2	NUM
ejpam-6379	202	28	4	4	NUM
ejpam-6379	202	29	>	>	ADP
ejpam-6379	202	30	ϵλ	ϵλ	PROPN
ejpam-6379	202	31	µ	µ	NOUN
ejpam-6379	202	32	,	,	PUNCT
ejpam-6379	202	33	taking	take	VERB
ejpam-6379	202	34	the	the	DET
ejpam-6379	202	35	limit	limit	NOUN
ejpam-6379	202	36	superior	superior	ADJ
ejpam-6379	202	37	of	of	ADP
ejpam-6379	202	38	both	both	DET
ejpam-6379	202	39	sides	side	NOUN
ejpam-6379	202	40	leads	lead	VERB
ejpam-6379	202	41	to	to	ADP
ejpam-6379	202	42	lim	lim	PROPN
ejpam-6379	202	43	t→∞	t→∞	NUM
ejpam-6379	202	44	sup	sup	NOUN
ejpam-6379	202	45	lnh(t	lnh(t	PROPN
ejpam-6379	202	46	)	)	PUNCT
ejpam-6379	202	47	t	t	NOUN
ejpam-6379	202	48	≤	≤	NUM
ejpam-6379	203	1	−	−	PROPN
ejpam-6379	203	2	(	(	PUNCT
ejpam-6379	203	3	(	(	PUNCT
ejpam-6379	203	4	γ3	γ3	NOUN
ejpam-6379	203	5	+	+	CCONJ
ejpam-6379	203	6	µ	µ	X
ejpam-6379	203	7	)	)	PUNCT
ejpam-6379	203	8	+	+	CCONJ
ejpam-6379	203	9	1	1	NUM
ejpam-6379	203	10	2	2	NUM
ejpam-6379	203	11	δ24	δ24	NOUN
ejpam-6379	203	12	−	−	PROPN
ejpam-6379	203	13	ϵλ	ϵλ	PROPN
ejpam-6379	203	14	µ	µ	PROPN
ejpam-6379	203	15	)	)	PUNCT
ejpam-6379	203	16	<	<	X
ejpam-6379	203	17	0	0	NUM
ejpam-6379	203	18	,	,	PUNCT
ejpam-6379	203	19	a.s	a.s	PROPN
ejpam-6379	203	20	.	.	PROPN
ejpam-6379	203	21	(	(	PUNCT
ejpam-6379	203	22	10	10	NUM
ejpam-6379	203	23	)	)	PUNCT
ejpam-6379	203	24	which	which	PRON
ejpam-6379	203	25	implies	imply	VERB
ejpam-6379	203	26	limt→∞h(t	limt→∞h(t	PROPN
ejpam-6379	203	27	)	)	PUNCT
ejpam-6379	203	28	=	=	SYM
ejpam-6379	204	1	0	0	PROPN
ejpam-6379	204	2	r.	r.	PROPN
ejpam-6379	204	3	saadeh	saadeh	PROPN
ejpam-6379	204	4	et	et	PROPN
ejpam-6379	204	5	al	al	PROPN
ejpam-6379	204	6	.	.	PUNCT
ejpam-6379	204	7	/	/	SYM
ejpam-6379	204	8	eur	eur	PROPN
ejpam-6379	204	9	.	.	PUNCT
ejpam-6379	205	1	j.	j.	PROPN
ejpam-6379	205	2	pure	pure	PROPN
ejpam-6379	205	3	appl	appl	PROPN
ejpam-6379	205	4	.	.	PROPN
ejpam-6379	205	5	math	math	PROPN
ejpam-6379	205	6	,	,	PUNCT
ejpam-6379	205	7	18	18	NUM
ejpam-6379	205	8	(	(	PUNCT
ejpam-6379	205	9	3	3	NUM
ejpam-6379	205	10	)	)	PUNCT
ejpam-6379	205	11	(	(	PUNCT
ejpam-6379	205	12	2025	2025	NUM
ejpam-6379	205	13	)	)	PUNCT
ejpam-6379	205	14	,	,	PUNCT
ejpam-6379	205	15	6379	6379	NUM
ejpam-6379	205	16	10	10	NUM
ejpam-6379	205	17	of	of	ADP
ejpam-6379	205	18	34	34	NUM
ejpam-6379	205	19	3.3	3.3	NUM
ejpam-6379	205	20	.	.	PUNCT
ejpam-6379	206	1	persistence	persistence	NOUN
ejpam-6379	206	2	and	and	CCONJ
ejpam-6379	206	3	stationary	stationary	ADJ
ejpam-6379	206	4	distributions	distribution	NOUN
ejpam-6379	206	5	as	as	ADP
ejpam-6379	206	6	for	for	ADP
ejpam-6379	206	7	as	as	SCONJ
ejpam-6379	206	8	the	the	DET
ejpam-6379	206	9	stochastic	stochastic	ADJ
ejpam-6379	206	10	model	model	NOUN
ejpam-6379	206	11	are	be	AUX
ejpam-6379	206	12	concerned	concern	VERB
ejpam-6379	206	13	,	,	PUNCT
ejpam-6379	206	14	they	they	PRON
ejpam-6379	206	15	have	have	VERB
ejpam-6379	206	16	no	no	DET
ejpam-6379	206	17	endemic	endemic	ADJ
ejpam-6379	206	18	equilibrium	equilibrium	NOUN
ejpam-6379	206	19	.	.	PUNCT
ejpam-6379	207	1	thus	thus	ADV
ejpam-6379	207	2	,	,	PUNCT
ejpam-6379	207	3	the	the	DET
ejpam-6379	207	4	stability	stability	NOUN
ejpam-6379	207	5	analysis	analysis	NOUN
ejpam-6379	207	6	can	can	AUX
ejpam-6379	207	7	not	not	PART
ejpam-6379	207	8	be	be	AUX
ejpam-6379	207	9	used	use	VERB
ejpam-6379	207	10	as	as	ADP
ejpam-6379	207	11	a	a	DET
ejpam-6379	207	12	tool	tool	NOUN
ejpam-6379	207	13	for	for	ADP
ejpam-6379	207	14	studying	study	VERB
ejpam-6379	207	15	the	the	DET
ejpam-6379	207	16	disease	disease	NOUN
ejpam-6379	207	17	persistence	persistence	NOUN
ejpam-6379	207	18	.	.	PUNCT
ejpam-6379	208	1	as	as	ADP
ejpam-6379	208	2	a	a	DET
ejpam-6379	208	3	result	result	NOUN
ejpam-6379	208	4	,	,	PUNCT
ejpam-6379	208	5	we	we	PRON
ejpam-6379	208	6	shall	shall	AUX
ejpam-6379	208	7	establish	establish	VERB
ejpam-6379	208	8	sufficient	sufficient	ADJ
ejpam-6379	208	9	conditions	condition	NOUN
ejpam-6379	208	10	for	for	ADP
ejpam-6379	208	11	the	the	DET
ejpam-6379	208	12	existence	existence	NOUN
ejpam-6379	208	13	of	of	ADP
ejpam-6379	208	14	a	a	DET
ejpam-6379	208	15	unique	unique	ADJ
ejpam-6379	208	16	ergodic	ergodic	ADJ
ejpam-6379	208	17	stationary	stationary	NOUN
ejpam-6379	208	18	distribution.which	distribution.which	PRON
ejpam-6379	208	19	in	in	ADP
ejpam-6379	208	20	some	some	DET
ejpam-6379	208	21	sense	sense	NOUN
ejpam-6379	208	22	,	,	PUNCT
ejpam-6379	208	23	will	will	AUX
ejpam-6379	208	24	work	work	VERB
ejpam-6379	208	25	for	for	ADP
ejpam-6379	208	26	persistence	persistence	NOUN
ejpam-6379	208	27	of	of	ADP
ejpam-6379	208	28	the	the	DET
ejpam-6379	208	29	disease	disease	NOUN
ejpam-6379	208	30	.	.	PUNCT
ejpam-6379	209	1	define	define	VERB
ejpam-6379	209	2	a	a	DET
ejpam-6379	209	3	parameter	parameter	NOUN
ejpam-6379	209	4	r∗	r∗	NOUN
ejpam-6379	209	5	0	0	PUNCT
ejpam-6379	210	1	=	=	SYM
ejpam-6379	210	2	σβωα	σβωα	NOUN
ejpam-6379	210	3	(	(	PUNCT
ejpam-6379	210	4	α+	α+	X
ejpam-6379	210	5	µ+	µ+	SYM
ejpam-6379	210	6	1	1	NUM
ejpam-6379	210	7	2δ	2δ	NUM
ejpam-6379	210	8	2	2	NUM
ejpam-6379	210	9	1)(ω	1)(ω	NUM
ejpam-6379	210	10	+	+	NUM
ejpam-6379	210	11	γ1	γ1	NOUN
ejpam-6379	210	12	+	+	CCONJ
ejpam-6379	210	13	µ+	µ+	X
ejpam-6379	210	14	1	1	NUM
ejpam-6379	210	15	2δ	2δ	NUM
ejpam-6379	210	16	2	2	NUM
ejpam-6379	210	17	2)(γ2	2)(γ2	NUM
ejpam-6379	210	18	+	+	NUM
ejpam-6379	210	19	ϵ+	ϵ+	NOUN
ejpam-6379	210	20	µ+	µ+	X
ejpam-6379	210	21	1	1	NUM
ejpam-6379	210	22	2δ	2δ	NUM
ejpam-6379	210	23	2	2	NUM
ejpam-6379	210	24	3)(ρ+	3)(ρ+	NUM
ejpam-6379	210	25	σ	σ	NOUN
ejpam-6379	210	26	+	+	X
ejpam-6379	210	27	µ+	µ+	X
ejpam-6379	210	28	1	1	NUM
ejpam-6379	210	29	2δ	2δ	NUM
ejpam-6379	210	30	2	2	NUM
ejpam-6379	210	31	5	5	NUM
ejpam-6379	210	32	)	)	PUNCT
ejpam-6379	210	33	theorem	theorem	NOUN
ejpam-6379	210	34	2	2	NUM
ejpam-6379	210	35	.	.	PUNCT
ejpam-6379	211	1	the	the	DET
ejpam-6379	211	2	solution	solution	NOUN
ejpam-6379	211	3	(	(	PUNCT
ejpam-6379	211	4	s(t	s(t	PROPN
ejpam-6379	211	5	)	)	PUNCT
ejpam-6379	211	6	,	,	PUNCT
ejpam-6379	211	7	e(t	e(t	NOUN
ejpam-6379	211	8	)	)	PUNCT
ejpam-6379	211	9	,	,	PUNCT
ejpam-6379	211	10	i(t	i(t	PROPN
ejpam-6379	211	11	)	)	PUNCT
ejpam-6379	211	12	,	,	PUNCT
ejpam-6379	211	13	h(t	h(t	PROPN
ejpam-6379	211	14	)	)	PUNCT
ejpam-6379	211	15	,	,	PUNCT
ejpam-6379	211	16	v	v	X
ejpam-6379	211	17	(	(	PUNCT
ejpam-6379	211	18	t	t	NOUN
ejpam-6379	211	19	)	)	PUNCT
ejpam-6379	211	20	,	,	PUNCT
ejpam-6379	211	21	r(t	r(t	NOUN
ejpam-6379	211	22	)	)	PUNCT
ejpam-6379	211	23	)	)	PUNCT
ejpam-6379	211	24	of	of	ADP
ejpam-6379	211	25	the	the	DET
ejpam-6379	211	26	stochastic	stochastic	ADJ
ejpam-6379	211	27	model	model	NOUN
ejpam-6379	211	28	(	(	PUNCT
ejpam-6379	211	29	2	2	NUM
ejpam-6379	211	30	)	)	PUNCT
ejpam-6379	211	31	is	be	AUX
ejpam-6379	211	32	ergodic	ergodic	ADJ
ejpam-6379	211	33	as	as	ADV
ejpam-6379	211	34	well	well	ADV
ejpam-6379	211	35	as	as	SCONJ
ejpam-6379	211	36	there	there	PRON
ejpam-6379	211	37	is	be	VERB
ejpam-6379	211	38	a	a	DET
ejpam-6379	211	39	unique	unique	ADJ
ejpam-6379	211	40	stationary	stationary	ADJ
ejpam-6379	211	41	distribution	distribution	NOUN
ejpam-6379	211	42	π	π	PROPN
ejpam-6379	211	43	(	(	PUNCT
ejpam-6379	211	44	·	·	PUNCT
ejpam-6379	211	45	)	)	PUNCT
ejpam-6379	211	46	whenever	whenever	SCONJ
ejpam-6379	211	47	r∗	r∗	VERB
ejpam-6379	211	48	0	0	NUM
ejpam-6379	211	49	>	>	X
ejpam-6379	211	50	1	1	X
ejpam-6379	211	51	.	.	PUNCT
ejpam-6379	211	52	proof	proof	NOUN
ejpam-6379	211	53	.	.	PUNCT
ejpam-6379	212	1	in	in	ADP
ejpam-6379	212	2	view	view	NOUN
ejpam-6379	212	3	of	of	ADP
ejpam-6379	212	4	lemma	lemma	PROPN
ejpam-6379	212	5	(	(	PUNCT
ejpam-6379	212	6	1	1	X
ejpam-6379	212	7	)	)	PUNCT
ejpam-6379	212	8	we	we	PRON
ejpam-6379	212	9	have	have	AUX
ejpam-6379	212	10	obtained	obtain	VERB
ejpam-6379	212	11	that	that	PRON
ejpam-6379	212	12	for	for	ADP
ejpam-6379	212	13	any	any	DET
ejpam-6379	212	14	initial	initial	ADJ
ejpam-6379	212	15	value	value	NOUN
ejpam-6379	212	16	(	(	PUNCT
ejpam-6379	212	17	s(0	s(0	PROPN
ejpam-6379	212	18	)	)	PUNCT
ejpam-6379	212	19	,	,	PUNCT
ejpam-6379	212	20	e(0	e(0	NOUN
ejpam-6379	212	21	)	)	PUNCT
ejpam-6379	212	22	,	,	PUNCT
ejpam-6379	212	23	i(0	i(0	PROPN
ejpam-6379	212	24	)	)	PUNCT
ejpam-6379	212	25	,	,	PUNCT
ejpam-6379	212	26	h(0	h(0	PROPN
ejpam-6379	212	27	)	)	PUNCT
ejpam-6379	212	28	,	,	PUNCT
ejpam-6379	212	29	v	v	X
ejpam-6379	212	30	(	(	PUNCT
ejpam-6379	212	31	0	0	NUM
ejpam-6379	212	32	)	)	PUNCT
ejpam-6379	212	33	,	,	PUNCT
ejpam-6379	212	34	r(0	r(0	PROPN
ejpam-6379	212	35	)	)	PUNCT
ejpam-6379	212	36	)	)	PUNCT
ejpam-6379	213	1	∈	∈	PROPN
ejpam-6379	213	2	r6	r6	NOUN
ejpam-6379	213	3	+	+	CCONJ
ejpam-6379	213	4	,	,	PUNCT
ejpam-6379	213	5	there	there	PRON
ejpam-6379	213	6	is	be	VERB
ejpam-6379	213	7	a	a	DET
ejpam-6379	213	8	unique	unique	ADJ
ejpam-6379	213	9	solution	solution	NOUN
ejpam-6379	213	10	(	(	PUNCT
ejpam-6379	213	11	s(t	s(t	PROPN
ejpam-6379	213	12	)	)	PUNCT
ejpam-6379	213	13	,	,	PUNCT
ejpam-6379	213	14	e(t	e(t	NOUN
ejpam-6379	213	15	)	)	PUNCT
ejpam-6379	213	16	,	,	PUNCT
ejpam-6379	213	17	i(t	i(t	PROPN
ejpam-6379	213	18	)	)	PUNCT
ejpam-6379	213	19	,	,	PUNCT
ejpam-6379	213	20	h(t	h(t	PROPN
ejpam-6379	213	21	)	)	PUNCT
ejpam-6379	213	22	,	,	PUNCT
ejpam-6379	213	23	v	v	X
ejpam-6379	213	24	(	(	PUNCT
ejpam-6379	213	25	t	t	NOUN
ejpam-6379	213	26	)	)	PUNCT
ejpam-6379	213	27	,	,	PUNCT
ejpam-6379	213	28	r(t	r(t	NOUN
ejpam-6379	213	29	)	)	PUNCT
ejpam-6379	213	30	)	)	PUNCT
ejpam-6379	214	1	∈	∈	PROPN
ejpam-6379	214	2	r6	r6	NOUN
ejpam-6379	214	3	+	+	X
ejpam-6379	214	4	.	.	PUNCT
ejpam-6379	215	1	the	the	DET
ejpam-6379	215	2	diffusion	diffusion	NOUN
ejpam-6379	215	3	matrix	matrix	NOUN
ejpam-6379	215	4	of	of	ADP
ejpam-6379	215	5	stochastic	stochastic	ADJ
ejpam-6379	215	6	model	model	NOUN
ejpam-6379	215	7	(	(	PUNCT
ejpam-6379	215	8	2	2	NUM
ejpam-6379	215	9	)	)	PUNCT
ejpam-6379	215	10	is	be	AUX
ejpam-6379	215	11	given	give	VERB
ejpam-6379	215	12	by	by	ADP
ejpam-6379	215	13	a	a	DET
ejpam-6379	215	14	=	=	NOUN
ejpam-6379	215	15			NOUN
ejpam-6379	215	16	δ21s	δ21s	NOUN
ejpam-6379	216	1	2	2	NUM
ejpam-6379	216	2	0	0	NUM
ejpam-6379	216	3	0	0	NUM
ejpam-6379	216	4	0	0	NUM
ejpam-6379	216	5	0	0	NUM
ejpam-6379	216	6	0	0	NUM
ejpam-6379	216	7	0	0	NUM
ejpam-6379	216	8	δ22e	δ22e	NOUN
ejpam-6379	216	9	2	2	NUM
ejpam-6379	216	10	0	0	NUM
ejpam-6379	216	11	0	0	NUM
ejpam-6379	216	12	0	0	NUM
ejpam-6379	216	13	0	0	NUM
ejpam-6379	216	14	0	0	NUM
ejpam-6379	216	15	0	0	NUM
ejpam-6379	216	16	δ23i	δ23i	NOUN
ejpam-6379	216	17	2	2	NUM
ejpam-6379	216	18	0	0	NUM
ejpam-6379	216	19	0	0	NUM
ejpam-6379	216	20	0	0	NUM
ejpam-6379	216	21	0	0	NUM
ejpam-6379	216	22	0	0	NUM
ejpam-6379	216	23	0	0	NUM
ejpam-6379	216	24	δ24h	δ24h	SYM
ejpam-6379	216	25	2	2	NUM
ejpam-6379	216	26	0	0	NUM
ejpam-6379	216	27	0	0	NUM
ejpam-6379	216	28	0	0	NUM
ejpam-6379	216	29	0	0	NUM
ejpam-6379	216	30	0	0	NUM
ejpam-6379	216	31	0	0	NUM
ejpam-6379	217	1	δ25v	δ25v	NOUN
ejpam-6379	217	2	2	2	NUM
ejpam-6379	217	3	0	0	NUM
ejpam-6379	217	4	0	0	NUM
ejpam-6379	217	5	0	0	NUM
ejpam-6379	217	6	0	0	NUM
ejpam-6379	217	7	0	0	NUM
ejpam-6379	217	8	0	0	NUM
ejpam-6379	217	9	δ26r	δ26r	NOUN
ejpam-6379	217	10	2	2	NUM
ejpam-6379	217	11			ADP
ejpam-6379	217	12	(	(	PUNCT
ejpam-6379	217	13	11	11	NUM
ejpam-6379	217	14	)	)	PUNCT
ejpam-6379	217	15	if	if	SCONJ
ejpam-6379	217	16	we	we	PRON
ejpam-6379	217	17	choose	choose	VERB
ejpam-6379	217	18	m	m	PROPN
ejpam-6379	217	19	=	=	SYM
ejpam-6379	217	20	min	min	PROPN
ejpam-6379	217	21	(	(	PUNCT
ejpam-6379	217	22	s	s	X
ejpam-6379	217	23	,	,	PUNCT
ejpam-6379	217	24	e	e	NOUN
ejpam-6379	217	25	,	,	PUNCT
ejpam-6379	217	26	i	i	PRON
ejpam-6379	217	27	,	,	PUNCT
ejpam-6379	217	28	h	h	NOUN
ejpam-6379	217	29	,	,	PUNCT
ejpam-6379	217	30	v	v	NOUN
ejpam-6379	217	31	,	,	PUNCT
ejpam-6379	217	32	r)∈d̄⊂r6	r)∈d̄⊂r6	VERB
ejpam-6379	217	33	+	+	CCONJ
ejpam-6379	217	34	{	{	PUNCT
ejpam-6379	217	35	δ21s	δ21s	PROPN
ejpam-6379	217	36	2	2	NUM
ejpam-6379	217	37	,	,	PUNCT
ejpam-6379	217	38	δ22e	δ22e	NOUN
ejpam-6379	217	39	2	2	NUM
ejpam-6379	217	40	,	,	PUNCT
ejpam-6379	217	41	δ23i	δ23i	NOUN
ejpam-6379	217	42	2	2	NUM
ejpam-6379	217	43	,	,	PUNCT
ejpam-6379	217	44	δ24h	δ24h	NOUN
ejpam-6379	217	45	2	2	NUM
ejpam-6379	217	46	,	,	PUNCT
ejpam-6379	217	47	δ25v	δ25v	PROPN
ejpam-6379	217	48	2	2	NUM
ejpam-6379	217	49	,	,	PUNCT
ejpam-6379	217	50	δ26r	δ26r	NOUN
ejpam-6379	217	51	2	2	NUM
ejpam-6379	217	52	}	}	PUNCT
ejpam-6379	217	53	we	we	PRON
ejpam-6379	217	54	obtain	obtain	VERB
ejpam-6379	217	55	6∑	6∑	NUM
ejpam-6379	217	56	i	i	PROPN
ejpam-6379	217	57	,	,	PUNCT
ejpam-6379	217	58	j=0	j=0	PROPN
ejpam-6379	217	59	aij(s	aij(s	PROPN
ejpam-6379	217	60	,	,	PUNCT
ejpam-6379	217	61	e	e	PROPN
ejpam-6379	217	62	,	,	PUNCT
ejpam-6379	217	63	i	i	PRON
ejpam-6379	217	64	,	,	PUNCT
ejpam-6379	217	65	h	h	NOUN
ejpam-6379	217	66	,	,	PUNCT
ejpam-6379	217	67	v	v	NOUN
ejpam-6379	217	68	,	,	PUNCT
ejpam-6379	217	69	r)ξi	r)ξi	PROPN
ejpam-6379	217	70	ξj	ξj	NUM
ejpam-6379	217	71	≥	≥	NOUN
ejpam-6379	217	72	δ21s	δ21s	PROPN
ejpam-6379	217	73	2	2	NUM
ejpam-6379	217	74	ξ21	ξ21	NOUN
ejpam-6379	217	75	+	+	CCONJ
ejpam-6379	217	76	δ22	δ22	PROPN
ejpam-6379	217	77	e	e	NOUN
ejpam-6379	217	78	2	2	NUM
ejpam-6379	217	79	ξ22	ξ22	NOUN
ejpam-6379	217	80	+	+	CCONJ
ejpam-6379	217	81	δ23i	δ23i	NOUN
ejpam-6379	217	82	2	2	NUM
ejpam-6379	217	83	ξ23	ξ23	NOUN
ejpam-6379	218	1	+	+	NOUN
ejpam-6379	218	2	δ24	δ24	NOUN
ejpam-6379	218	3	h	h	NOUN
ejpam-6379	218	4	2	2	NUM
ejpam-6379	218	5	ξ24	ξ24	NOUN
ejpam-6379	218	6	+	+	CCONJ
ejpam-6379	218	7	δ25	δ25	NOUN
ejpam-6379	218	8	v	v	NOUN
ejpam-6379	218	9	2	2	NUM
ejpam-6379	218	10	ξ25	ξ25	NOUN
ejpam-6379	218	11	+	+	CCONJ
ejpam-6379	218	12	δ26	δ26	ADJ
ejpam-6379	218	13	r	r	NOUN
ejpam-6379	218	14	2	2	NUM
ejpam-6379	218	15	ξ26	ξ26	NUM
ejpam-6379	218	16	≥	≥	NOUN
ejpam-6379	218	17	m	m	PROPN
ejpam-6379	218	18	|ξ|2	|ξ|2	ADJ
ejpam-6379	218	19	where	where	SCONJ
ejpam-6379	218	20	(	(	PUNCT
ejpam-6379	218	21	s	s	X
ejpam-6379	218	22	,	,	PUNCT
ejpam-6379	218	23	e	e	NOUN
ejpam-6379	218	24	,	,	PUNCT
ejpam-6379	218	25	i	i	PRON
ejpam-6379	218	26	,	,	PUNCT
ejpam-6379	218	27	h	h	PROPN
ejpam-6379	218	28	,	,	PUNCT
ejpam-6379	218	29	v	v	NOUN
ejpam-6379	218	30	,	,	PUNCT
ejpam-6379	218	31	r	r	NOUN
ejpam-6379	218	32	)	)	PUNCT
ejpam-6379	218	33	∈	∈	PROPN
ejpam-6379	218	34	d̄	d̄	NOUN
ejpam-6379	218	35	,	,	PUNCT
ejpam-6379	218	36	ξ	ξ	X
ejpam-6379	218	37	=	=	PUNCT
ejpam-6379	218	38	{	{	PUNCT
ejpam-6379	218	39	ξ1	ξ1	NOUN
ejpam-6379	218	40	,	,	PUNCT
ejpam-6379	218	41	ξ2	ξ2	ADJ
ejpam-6379	218	42	,	,	PUNCT
ejpam-6379	218	43	ξ3	ξ3	NOUN
ejpam-6379	218	44	,	,	PUNCT
ejpam-6379	218	45	ξ4	ξ4	NOUN
ejpam-6379	218	46	,	,	PUNCT
ejpam-6379	218	47	ξ5	ξ5	NOUN
ejpam-6379	218	48	,	,	PUNCT
ejpam-6379	218	49	ξ6	ξ6	NOUN
ejpam-6379	218	50	}	}	PUNCT
ejpam-6379	218	51	∈	∈	NOUN
ejpam-6379	218	52	r6	r6	NOUN
ejpam-6379	218	53	+	+	CCONJ
ejpam-6379	218	54	then	then	ADV
ejpam-6379	218	55	the	the	DET
ejpam-6379	218	56	first	first	ADJ
ejpam-6379	218	57	condition	condition	NOUN
ejpam-6379	218	58	in	in	ADP
ejpam-6379	218	59	lemma	lemma	PROPN
ejpam-6379	218	60	4.1	4.1	NUM
ejpam-6379	218	61	in	in	ADP
ejpam-6379	218	62	[	[	X
ejpam-6379	218	63	41	41	NUM
ejpam-6379	218	64	]	]	PUNCT
ejpam-6379	218	65	is	be	AUX
ejpam-6379	218	66	satisfied	satisfied	ADJ
ejpam-6379	218	67	.	.	PUNCT
ejpam-6379	219	1	to	to	PART
ejpam-6379	219	2	prove	prove	VERB
ejpam-6379	219	3	the	the	DET
ejpam-6379	219	4	second	second	ADJ
ejpam-6379	219	5	condition	condition	NOUN
ejpam-6379	219	6	we	we	PRON
ejpam-6379	219	7	construct	construct	VERB
ejpam-6379	219	8	a	a	DET
ejpam-6379	219	9	c2−	c2−	NOUN
ejpam-6379	219	10	function	function	NOUN
ejpam-6379	219	11	v	v	NOUN
ejpam-6379	219	12	:	:	PUNCT
ejpam-6379	219	13	r6	r6	NOUN
ejpam-6379	219	14	+	+	CCONJ
ejpam-6379	219	15	−→	−→	ADJ
ejpam-6379	219	16	r+	r+	NOUN
ejpam-6379	219	17	in	in	ADP
ejpam-6379	219	18	the	the	DET
ejpam-6379	219	19	following	follow	VERB
ejpam-6379	219	20	form	form	NOUN
ejpam-6379	219	21	v1(s	v1(s	ADP
ejpam-6379	219	22	,	,	PUNCT
ejpam-6379	219	23	e	e	NOUN
ejpam-6379	219	24	,	,	PUNCT
ejpam-6379	219	25	i	i	PRON
ejpam-6379	219	26	,	,	PUNCT
ejpam-6379	219	27	h	h	PROPN
ejpam-6379	219	28	,	,	PUNCT
ejpam-6379	219	29	v	v	NOUN
ejpam-6379	219	30	,	,	PUNCT
ejpam-6379	219	31	r	r	NOUN
ejpam-6379	219	32	)	)	PUNCT
ejpam-6379	219	33	=	=	SYM
ejpam-6379	219	34	s	s	PART
ejpam-6379	220	1	+	+	NUM
ejpam-6379	220	2	e	e	NOUN
ejpam-6379	220	3	+	+	CCONJ
ejpam-6379	220	4	i	i	PRON
ejpam-6379	220	5	+	+	NOUN
ejpam-6379	220	6	h	h	NOUN
ejpam-6379	220	7	+	+	CCONJ
ejpam-6379	220	8	v	v	ADJ
ejpam-6379	220	9	+	+	PROPN
ejpam-6379	220	10	r−	r−	PROPN
ejpam-6379	220	11	w1	w1	NOUN
ejpam-6379	220	12	lns	lns	PROPN
ejpam-6379	220	13	−w2	−w2	PROPN
ejpam-6379	220	14	lne	lne	VERB
ejpam-6379	220	15	−	−	PROPN
ejpam-6379	220	16	w3	w3	PROPN
ejpam-6379	220	17	ln	ln	PROPN
ejpam-6379	221	1	i	i	PROPN
ejpam-6379	221	2	−	−	PROPN
ejpam-6379	221	3	w4	w4	NOUN
ejpam-6379	221	4	lnv	lnv	NOUN
ejpam-6379	221	5	(	(	PUNCT
ejpam-6379	221	6	12	12	NUM
ejpam-6379	221	7	)	)	PUNCT
ejpam-6379	221	8	r.	r.	PROPN
ejpam-6379	221	9	saadeh	saadeh	PROPN
ejpam-6379	222	1	et	et	PROPN
ejpam-6379	222	2	al	al	PROPN
ejpam-6379	222	3	.	.	PUNCT
ejpam-6379	222	4	/	/	SYM
ejpam-6379	222	5	eur	eur	PROPN
ejpam-6379	222	6	.	.	PUNCT
ejpam-6379	223	1	j.	j.	PROPN
ejpam-6379	223	2	pure	pure	PROPN
ejpam-6379	223	3	appl	appl	PROPN
ejpam-6379	223	4	.	.	PROPN
ejpam-6379	223	5	math	math	PROPN
ejpam-6379	223	6	,	,	PUNCT
ejpam-6379	223	7	18	18	NUM
ejpam-6379	223	8	(	(	PUNCT
ejpam-6379	223	9	3	3	NUM
ejpam-6379	223	10	)	)	PUNCT
ejpam-6379	223	11	(	(	PUNCT
ejpam-6379	223	12	2025	2025	NUM
ejpam-6379	223	13	)	)	PUNCT
ejpam-6379	223	14	,	,	PUNCT
ejpam-6379	223	15	6379	6379	NUM
ejpam-6379	223	16	11	11	NUM
ejpam-6379	223	17	of	of	ADP
ejpam-6379	223	18	34	34	NUM
ejpam-6379	223	19	where	where	SCONJ
ejpam-6379	223	20	w1	w1	NOUN
ejpam-6379	223	21	,	,	PUNCT
ejpam-6379	223	22	w2	w2	NOUN
ejpam-6379	223	23	,	,	PUNCT
ejpam-6379	223	24	w3	w3	PROPN
ejpam-6379	223	25	,	,	PUNCT
ejpam-6379	223	26	w4	w4	NOUN
ejpam-6379	223	27	are	be	AUX
ejpam-6379	223	28	the	the	DET
ejpam-6379	223	29	positive	positive	ADJ
ejpam-6379	223	30	constant	constant	NOUN
ejpam-6379	223	31	.	.	PUNCT
ejpam-6379	224	1	using	use	VERB
ejpam-6379	224	2	itô	itô	PROPN
ejpam-6379	224	3	’s	’s	PART
ejpam-6379	224	4	formula	formula	NOUN
ejpam-6379	224	5	,	,	PUNCT
ejpam-6379	224	6	we	we	PRON
ejpam-6379	224	7	have	have	VERB
ejpam-6379	224	8	lv1	lv1	PROPN
ejpam-6379	224	9	=	=	PROPN
ejpam-6379	224	10	w1	w1	PROPN
ejpam-6379	224	11	(	(	PUNCT
ejpam-6379	224	12	−λ	−λ	PROPN
ejpam-6379	224	13	s	s	PART
ejpam-6379	224	14	−	−	PROPN
ejpam-6379	224	15	ρ(v	ρ(v	PROPN
ejpam-6379	224	16	+	+	NOUN
ejpam-6379	224	17	r	r	NOUN
ejpam-6379	224	18	)	)	PUNCT
ejpam-6379	224	19	s	s	PART
ejpam-6379	225	1	+	+	X
ejpam-6379	225	2	β	β	X
ejpam-6379	225	3	(	(	PUNCT
ejpam-6379	225	4	e	e	NOUN
ejpam-6379	225	5	+	+	CCONJ
ejpam-6379	225	6	i)(s	i)(s	PRON
ejpam-6379	225	7	+	+	CCONJ
ejpam-6379	225	8	σv	σv	ADJ
ejpam-6379	225	9	)	)	PUNCT
ejpam-6379	225	10	sn	sn	PROPN
ejpam-6379	226	1	+	+	CCONJ
ejpam-6379	226	2	(	(	PUNCT
ejpam-6379	226	3	α+	α+	X
ejpam-6379	226	4	µ	µ	X
ejpam-6379	226	5	)	)	PUNCT
ejpam-6379	226	6	+	+	CCONJ
ejpam-6379	226	7	1	1	NUM
ejpam-6379	226	8	2	2	NUM
ejpam-6379	226	9	δ21	δ21	NOUN
ejpam-6379	226	10	)	)	PUNCT
ejpam-6379	227	1	+	+	NOUN
ejpam-6379	227	2	λ−	λ−	PROPN
ejpam-6379	227	3	µn	µn	PROPN
ejpam-6379	227	4	−	−	PROPN
ejpam-6379	227	5	σv	σv	PROPN
ejpam-6379	227	6	+	+	CCONJ
ejpam-6379	227	7	w2(−β	w2(−β	X
ejpam-6379	227	8	(	(	PUNCT
ejpam-6379	227	9	e	e	NOUN
ejpam-6379	227	10	+	+	CCONJ
ejpam-6379	227	11	i)(s	i)(s	PRON
ejpam-6379	227	12	+	+	CCONJ
ejpam-6379	227	13	σv	σv	ADJ
ejpam-6379	227	14	)	)	PUNCT
ejpam-6379	227	15	en	en	X
ejpam-6379	227	16	+	+	CCONJ
ejpam-6379	227	17	(	(	PUNCT
ejpam-6379	227	18	ω	ω	PROPN
ejpam-6379	227	19	+	+	NUM
ejpam-6379	227	20	γ1	γ1	PROPN
ejpam-6379	227	21	+	+	CCONJ
ejpam-6379	227	22	µ	µ	X
ejpam-6379	227	23	)	)	PUNCT
ejpam-6379	227	24	+	+	CCONJ
ejpam-6379	227	25	1	1	NUM
ejpam-6379	227	26	2	2	NUM
ejpam-6379	227	27	δ22	δ22	NOUN
ejpam-6379	227	28	)	)	PUNCT
ejpam-6379	228	1	+	+	NOUN
ejpam-6379	229	1	w3(−	w3(−	PROPN
ejpam-6379	229	2	ωe	ωe	ADV
ejpam-6379	230	1	i	i	PRON
ejpam-6379	231	1	+	+	CCONJ
ejpam-6379	232	1	(	(	PUNCT
ejpam-6379	232	2	γ2	γ2	PROPN
ejpam-6379	232	3	+	+	CCONJ
ejpam-6379	232	4	ϵ+	ϵ+	X
ejpam-6379	232	5	µ	µ	X
ejpam-6379	232	6	)	)	PUNCT
ejpam-6379	232	7	+	+	CCONJ
ejpam-6379	232	8	1	1	NUM
ejpam-6379	232	9	2	2	NUM
ejpam-6379	232	10	δ23	δ23	NUM
ejpam-6379	232	11	)	)	PUNCT
ejpam-6379	232	12	+	+	CCONJ
ejpam-6379	232	13	w4(−	w4(−	NOUN
ejpam-6379	233	1	αs	αs	INTJ
ejpam-6379	233	2	v	v	NOUN
ejpam-6379	233	3	+	+	CCONJ
ejpam-6379	233	4	(	(	PUNCT
ejpam-6379	233	5	ρ+	ρ+	NUM
ejpam-6379	233	6	σ	σ	X
ejpam-6379	233	7	+	+	X
ejpam-6379	233	8	µ	µ	X
ejpam-6379	233	9	)	)	PUNCT
ejpam-6379	234	1	+	+	CCONJ
ejpam-6379	234	2	1	1	NUM
ejpam-6379	234	3	2	2	NUM
ejpam-6379	234	4	δ25	δ25	NOUN
ejpam-6379	234	5	)	)	PUNCT
ejpam-6379	234	6	≤	≤	NOUN
ejpam-6379	234	7	λ−	λ−	PROPN
ejpam-6379	234	8	5	5	NUM
ejpam-6379	235	1	(	(	PUNCT
ejpam-6379	235	2	σv	σv	PROPN
ejpam-6379	235	3	×	×	PROPN
ejpam-6379	235	4	w1λ	w1λ	NOUN
ejpam-6379	235	5	s	s	PART
ejpam-6379	235	6	×	×	NOUN
ejpam-6379	235	7	w2βi	w2βi	X
ejpam-6379	235	8	e	e	X
ejpam-6379	235	9	×	×	NOUN
ejpam-6379	235	10	w3ωe	w3ωe	NOUN
ejpam-6379	235	11	i	i	PRON
ejpam-6379	235	12	×	×	VERB
ejpam-6379	235	13	w4αs	w4αs	PROPN
ejpam-6379	235	14	v	v	NOUN
ejpam-6379	235	15	)	)	PUNCT
ejpam-6379	235	16	1	1	NUM
ejpam-6379	235	17	5	5	NUM
ejpam-6379	235	18	−	−	NOUN
ejpam-6379	235	19	w2β	w2β	NOUN
ejpam-6379	236	1	+	+	CCONJ
ejpam-6379	236	2	w1(−	w1(−	ADJ
ejpam-6379	236	3	ρ(v	ρ(v	PROPN
ejpam-6379	236	4	+	+	PROPN
ejpam-6379	236	5	r	r	NOUN
ejpam-6379	236	6	)	)	PUNCT
ejpam-6379	236	7	s	s	PART
ejpam-6379	237	1	+	+	X
ejpam-6379	237	2	β	β	X
ejpam-6379	237	3	(	(	PUNCT
ejpam-6379	237	4	e	e	NOUN
ejpam-6379	237	5	+	+	CCONJ
ejpam-6379	237	6	i)(s	i)(s	PRON
ejpam-6379	237	7	+	+	CCONJ
ejpam-6379	237	8	σv	σv	ADJ
ejpam-6379	237	9	)	)	PUNCT
ejpam-6379	237	10	sn	sn	PROPN
ejpam-6379	238	1	+	+	CCONJ
ejpam-6379	238	2	(	(	PUNCT
ejpam-6379	238	3	α+	α+	X
ejpam-6379	238	4	µ	µ	X
ejpam-6379	238	5	)	)	PUNCT
ejpam-6379	238	6	+	+	CCONJ
ejpam-6379	238	7	1	1	NUM
ejpam-6379	238	8	2	2	NUM
ejpam-6379	238	9	δ21	δ21	NOUN
ejpam-6379	238	10	)	)	PUNCT
ejpam-6379	239	1	+	+	NOUN
ejpam-6379	239	2	w2((ω	w2((ω	NOUN
ejpam-6379	239	3	+	+	CCONJ
ejpam-6379	239	4	γ1	γ1	NOUN
ejpam-6379	239	5	+	+	CCONJ
ejpam-6379	239	6	µ	µ	X
ejpam-6379	239	7	)	)	PUNCT
ejpam-6379	239	8	+	+	CCONJ
ejpam-6379	239	9	1	1	NUM
ejpam-6379	239	10	2	2	NUM
ejpam-6379	239	11	δ22	δ22	NOUN
ejpam-6379	239	12	)	)	PUNCT
ejpam-6379	240	1	+	+	CCONJ
ejpam-6379	240	2	w3((γ2	w3((γ2	NOUN
ejpam-6379	240	3	+	+	X
ejpam-6379	240	4	ϵ+	ϵ+	PUNCT
ejpam-6379	240	5	µ	µ	X
ejpam-6379	240	6	)	)	PUNCT
ejpam-6379	240	7	+	+	CCONJ
ejpam-6379	240	8	1	1	NUM
ejpam-6379	240	9	2	2	NUM
ejpam-6379	240	10	δ23	δ23	NUM
ejpam-6379	240	11	)	)	PUNCT
ejpam-6379	241	1	+	+	ADP
ejpam-6379	241	2	w4((ρ+	w4((ρ+	NOUN
ejpam-6379	241	3	σ	σ	NOUN
ejpam-6379	241	4	+	+	X
ejpam-6379	241	5	µ	µ	X
ejpam-6379	241	6	)	)	PUNCT
ejpam-6379	241	7	+	+	CCONJ
ejpam-6379	241	8	1	1	NUM
ejpam-6379	241	9	2	2	NUM
ejpam-6379	241	10	δ25	δ25	NOUN
ejpam-6379	241	11	)	)	PUNCT
ejpam-6379	241	12	using	use	VERB
ejpam-6379	241	13	the	the	DET
ejpam-6379	241	14	inequality	inequality	NOUN
ejpam-6379	241	15	x+	x+	PUNCT
ejpam-6379	241	16	y	y	PROPN
ejpam-6379	241	17	≥	≥	NUM
ejpam-6379	241	18	2	2	NUM
ejpam-6379	241	19	√	√	NUM
ejpam-6379	241	20	xy	xy	PROPN
ejpam-6379	241	21	,	,	PUNCT
ejpam-6379	241	22	x	x	PRON
ejpam-6379	241	23	,	,	PUNCT
ejpam-6379	241	24	y	y	PROPN
ejpam-6379	241	25	>	>	X
ejpam-6379	241	26	0	0	PROPN
ejpam-6379	241	27	,	,	PUNCT
ejpam-6379	241	28	leads	lead	VERB
ejpam-6379	241	29	to	to	ADP
ejpam-6379	241	30	lv1	lv1	PROPN
ejpam-6379	241	31	≤	≤	NUM
ejpam-6379	241	32	−5	−5	ADV
ejpam-6379	241	33	(	(	PUNCT
ejpam-6379	241	34	σw1λw2βw3ωw4α	σw1λw2βw3ωw4α	NOUN
ejpam-6379	241	35	)	)	PUNCT
ejpam-6379	241	36	1	1	NUM
ejpam-6379	241	37	5	5	NUM
ejpam-6379	241	38	+	+	CCONJ
ejpam-6379	241	39	λ+	λ+	PUNCT
ejpam-6379	241	40	w1β(e	w1β(e	PROPN
ejpam-6379	241	41	+	+	CCONJ
ejpam-6379	241	42	i)(s	i)(s	NOUN
ejpam-6379	241	43	+	+	CCONJ
ejpam-6379	241	44	σv	σv	ADJ
ejpam-6379	241	45	)	)	PUNCT
ejpam-6379	241	46	sn	sn	PROPN
ejpam-6379	242	1	+	+	PROPN
ejpam-6379	242	2	w1(α+	w1(α+	PROPN
ejpam-6379	242	3	µ+	µ+	PUNCT
ejpam-6379	242	4	1	1	NUM
ejpam-6379	242	5	2	2	NUM
ejpam-6379	242	6	δ21	δ21	NOUN
ejpam-6379	242	7	)	)	PUNCT
ejpam-6379	243	1	+	+	NUM
ejpam-6379	244	1	w2(ω	w2(ω	PROPN
ejpam-6379	244	2	+	+	CCONJ
ejpam-6379	244	3	γ1	γ1	NOUN
ejpam-6379	244	4	+	+	CCONJ
ejpam-6379	244	5	µ+	µ+	PUNCT
ejpam-6379	244	6	1	1	NUM
ejpam-6379	244	7	2	2	NUM
ejpam-6379	244	8	δ22	δ22	NOUN
ejpam-6379	244	9	)	)	PUNCT
ejpam-6379	245	1	+	+	ADP
ejpam-6379	245	2	w3(γ2	w3(γ2	NOUN
ejpam-6379	245	3	+	+	NUM
ejpam-6379	245	4	ϵ+	ϵ+	PUNCT
ejpam-6379	245	5	µ+	µ+	PUNCT
ejpam-6379	245	6	1	1	NUM
ejpam-6379	245	7	2	2	NUM
ejpam-6379	245	8	δ23	δ23	NUM
ejpam-6379	245	9	)	)	PUNCT
ejpam-6379	245	10	+	+	CCONJ
ejpam-6379	246	1	w4(ρ+	w4(ρ+	PROPN
ejpam-6379	246	2	σ	σ	PROPN
ejpam-6379	246	3	+	+	PROPN
ejpam-6379	246	4	µ+	µ+	PUNCT
ejpam-6379	246	5	1	1	NUM
ejpam-6379	246	6	2	2	NUM
ejpam-6379	246	7	δ25	δ25	NOUN
ejpam-6379	246	8	)	)	PUNCT
ejpam-6379	246	9	let	let	VERB
ejpam-6379	246	10	w1	w1	NOUN
ejpam-6379	246	11	=	=	SYM
ejpam-6379	246	12	λ	λ	PROPN
ejpam-6379	246	13	(	(	PUNCT
ejpam-6379	246	14	α+	α+	X
ejpam-6379	246	15	µ+	µ+	SYM
ejpam-6379	246	16	1	1	NUM
ejpam-6379	246	17	2δ	2δ	NUM
ejpam-6379	246	18	2	2	NUM
ejpam-6379	246	19	1	1	NUM
ejpam-6379	246	20	)	)	PUNCT
ejpam-6379	246	21	,	,	PUNCT
ejpam-6379	246	22	w2	w2	NOUN
ejpam-6379	246	23	=	=	SYM
ejpam-6379	246	24	λ	λ	PROPN
ejpam-6379	246	25	(	(	PUNCT
ejpam-6379	246	26	ω	ω	NOUN
ejpam-6379	246	27	+	+	NUM
ejpam-6379	246	28	γ1	γ1	PROPN
ejpam-6379	246	29	+	+	CCONJ
ejpam-6379	246	30	µ+	µ+	X
ejpam-6379	246	31	1	1	NUM
ejpam-6379	246	32	2δ	2δ	NUM
ejpam-6379	246	33	2	2	NUM
ejpam-6379	246	34	2	2	NUM
ejpam-6379	246	35	)	)	PUNCT
ejpam-6379	246	36	w3	w3	NOUN
ejpam-6379	246	37	=	=	SYM
ejpam-6379	246	38	λ	λ	PROPN
ejpam-6379	246	39	(	(	PUNCT
ejpam-6379	246	40	γ2	γ2	PROPN
ejpam-6379	246	41	+	+	CCONJ
ejpam-6379	246	42	ϵ+	ϵ+	NOUN
ejpam-6379	246	43	µ+	µ+	X
ejpam-6379	246	44	1	1	NUM
ejpam-6379	246	45	2δ	2δ	NUM
ejpam-6379	246	46	2	2	NUM
ejpam-6379	246	47	3	3	NUM
ejpam-6379	246	48	)	)	PUNCT
ejpam-6379	246	49	,	,	PUNCT
ejpam-6379	246	50	w4	w4	NOUN
ejpam-6379	246	51	=	=	SYM
ejpam-6379	246	52	λ	λ	PROPN
ejpam-6379	246	53	(	(	PUNCT
ejpam-6379	246	54	ρ+	ρ+	NOUN
ejpam-6379	246	55	σ	σ	NOUN
ejpam-6379	246	56	+	+	X
ejpam-6379	246	57	µ+	µ+	X
ejpam-6379	246	58	1	1	NUM
ejpam-6379	246	59	2δ	2δ	NUM
ejpam-6379	246	60	2	2	NUM
ejpam-6379	246	61	5	5	NUM
ejpam-6379	246	62	)	)	PUNCT
ejpam-6379	246	63	then	then	ADV
ejpam-6379	246	64	lv1	lv1	PROPN
ejpam-6379	246	65	≤	≤	PROPN
ejpam-6379	246	66	w1β(e	w1β(e	PROPN
ejpam-6379	246	67	+	+	CCONJ
ejpam-6379	246	68	i)(s	i)(s	NOUN
ejpam-6379	246	69	+	+	CCONJ
ejpam-6379	246	70	σv	σv	ADJ
ejpam-6379	246	71	)	)	PUNCT
ejpam-6379	246	72	sn	sn	NOUN
ejpam-6379	247	1	−	−	PROPN
ejpam-6379	248	1	5λ	5λ	NOUN
ejpam-6379	248	2	(	(	PUNCT
ejpam-6379	248	3	(	(	PUNCT
ejpam-6379	248	4	σβ	σβ	X
ejpam-6379	248	5	(	(	PUNCT
ejpam-6379	248	6	α+	α+	X
ejpam-6379	248	7	µ+	µ+	SYM
ejpam-6379	248	8	1	1	NUM
ejpam-6379	248	9	2δ	2δ	NUM
ejpam-6379	248	10	2	2	NUM
ejpam-6379	248	11	1)(ω	1)(ω	NUM
ejpam-6379	248	12	+	+	NUM
ejpam-6379	248	13	γ1	γ1	NOUN
ejpam-6379	248	14	+	+	CCONJ
ejpam-6379	248	15	µ+	µ+	X
ejpam-6379	248	16	1	1	NUM
ejpam-6379	248	17	2δ	2δ	NUM
ejpam-6379	248	18	2	2	NUM
ejpam-6379	248	19	2	2	NUM
ejpam-6379	248	20	)	)	PUNCT
ejpam-6379	248	21	×	×	NOUN
ejpam-6379	248	22	ωα	ωα	INTJ
ejpam-6379	248	23	(	(	PUNCT
ejpam-6379	248	24	γ2	γ2	PROPN
ejpam-6379	248	25	+	+	CCONJ
ejpam-6379	248	26	ϵ+	ϵ+	NOUN
ejpam-6379	248	27	µ+	µ+	X
ejpam-6379	248	28	1	1	NUM
ejpam-6379	248	29	2δ	2δ	NUM
ejpam-6379	248	30	2	2	NUM
ejpam-6379	248	31	3)(ρ+	3)(ρ+	NUM
ejpam-6379	248	32	σ	σ	NOUN
ejpam-6379	248	33	+	+	X
ejpam-6379	248	34	µ+	µ+	X
ejpam-6379	248	35	1	1	NUM
ejpam-6379	248	36	2δ	2δ	NUM
ejpam-6379	248	37	2	2	NUM
ejpam-6379	248	38	5	5	NUM
ejpam-6379	248	39	)	)	PUNCT
ejpam-6379	248	40	)	)	PUNCT
ejpam-6379	248	41	1	1	NUM
ejpam-6379	248	42	5	5	NUM
ejpam-6379	248	43	−	−	NOUN
ejpam-6379	248	44	1	1	NUM
ejpam-6379	248	45			PROPN
ejpam-6379	248	46	let	let	VERB
ejpam-6379	248	47	r∗	r∗	VERB
ejpam-6379	248	48	0	0	NUM
ejpam-6379	248	49	=	=	SYM
ejpam-6379	248	50	σβωα	σβωα	NOUN
ejpam-6379	248	51	(	(	PUNCT
ejpam-6379	248	52	α+	α+	X
ejpam-6379	248	53	µ+	µ+	SYM
ejpam-6379	248	54	1	1	NUM
ejpam-6379	248	55	2δ	2δ	NUM
ejpam-6379	248	56	2	2	NUM
ejpam-6379	248	57	1)(ω	1)(ω	NUM
ejpam-6379	248	58	+	+	NUM
ejpam-6379	248	59	γ1	γ1	NOUN
ejpam-6379	248	60	+	+	CCONJ
ejpam-6379	248	61	µ+	µ+	X
ejpam-6379	248	62	1	1	NUM
ejpam-6379	248	63	2δ	2δ	NUM
ejpam-6379	248	64	2	2	NUM
ejpam-6379	248	65	2)(γ2	2)(γ2	NUM
ejpam-6379	248	66	+	+	NUM
ejpam-6379	248	67	ϵ+	ϵ+	NOUN
ejpam-6379	248	68	µ+	µ+	X
ejpam-6379	248	69	1	1	NUM
ejpam-6379	248	70	2δ	2δ	NUM
ejpam-6379	248	71	2	2	NUM
ejpam-6379	248	72	3)(ρ+	3)(ρ+	NUM
ejpam-6379	248	73	σ	σ	NOUN
ejpam-6379	248	74	+	+	X
ejpam-6379	248	75	µ+	µ+	X
ejpam-6379	248	76	1	1	NUM
ejpam-6379	248	77	2δ	2δ	NUM
ejpam-6379	248	78	2	2	NUM
ejpam-6379	248	79	5	5	NUM
ejpam-6379	248	80	)	)	PUNCT
ejpam-6379	248	81	then	then	ADV
ejpam-6379	248	82	lv1	lv1	PROPN
ejpam-6379	248	83	≤	≤	PROPN
ejpam-6379	248	84	−5λ(r∗	−5λ(r∗	NOUN
ejpam-6379	248	85	0	0	NUM
ejpam-6379	248	86	1	1	NUM
ejpam-6379	248	87	5	5	NUM
ejpam-6379	248	88	−	−	NUM
ejpam-6379	248	89	1	1	NUM
ejpam-6379	248	90	)	)	PUNCT
ejpam-6379	248	91	+	+	CCONJ
ejpam-6379	248	92	w1β(e	w1β(e	PROPN
ejpam-6379	248	93	+	+	CCONJ
ejpam-6379	248	94	i)(s	i)(s	NOUN
ejpam-6379	248	95	+	+	CCONJ
ejpam-6379	248	96	σv	σv	ADJ
ejpam-6379	248	97	)	)	PUNCT
ejpam-6379	248	98	sn	sn	PROPN
ejpam-6379	248	99	(	(	PUNCT
ejpam-6379	248	100	13	13	NUM
ejpam-6379	248	101	)	)	PUNCT
ejpam-6379	248	102	r.	r.	PROPN
ejpam-6379	248	103	saadeh	saadeh	PROPN
ejpam-6379	248	104	et	et	PROPN
ejpam-6379	248	105	al	al	PROPN
ejpam-6379	248	106	.	.	PUNCT
ejpam-6379	248	107	/	/	SYM
ejpam-6379	248	108	eur	eur	PROPN
ejpam-6379	248	109	.	.	PUNCT
ejpam-6379	249	1	j.	j.	PROPN
ejpam-6379	249	2	pure	pure	PROPN
ejpam-6379	249	3	appl	appl	PROPN
ejpam-6379	249	4	.	.	PROPN
ejpam-6379	249	5	math	math	PROPN
ejpam-6379	249	6	,	,	PUNCT
ejpam-6379	249	7	18	18	NUM
ejpam-6379	249	8	(	(	PUNCT
ejpam-6379	249	9	3	3	NUM
ejpam-6379	249	10	)	)	PUNCT
ejpam-6379	249	11	(	(	PUNCT
ejpam-6379	249	12	2025	2025	NUM
ejpam-6379	249	13	)	)	PUNCT
ejpam-6379	249	14	,	,	PUNCT
ejpam-6379	249	15	6379	6379	NUM
ejpam-6379	249	16	12	12	NUM
ejpam-6379	249	17	of	of	ADP
ejpam-6379	249	18	34	34	NUM
ejpam-6379	249	19	in	in	ADP
ejpam-6379	249	20	addition	addition	NOUN
ejpam-6379	249	21	,	,	PUNCT
ejpam-6379	249	22	we	we	PRON
ejpam-6379	249	23	obtain	obtain	VERB
ejpam-6379	249	24	v2(s	v2(s	NOUN
ejpam-6379	249	25	,	,	PUNCT
ejpam-6379	249	26	e	e	NOUN
ejpam-6379	249	27	,	,	PUNCT
ejpam-6379	249	28	i	i	PRON
ejpam-6379	249	29	,	,	PUNCT
ejpam-6379	249	30	h	h	PROPN
ejpam-6379	249	31	,	,	PUNCT
ejpam-6379	249	32	v	v	NOUN
ejpam-6379	249	33	,	,	PUNCT
ejpam-6379	249	34	r	r	NOUN
ejpam-6379	249	35	)	)	PUNCT
ejpam-6379	249	36	=	=	PUNCT
ejpam-6379	249	37	w5(s	w5(s	PUNCT
ejpam-6379	250	1	+	+	NUM
ejpam-6379	250	2	e	e	X
ejpam-6379	250	3	+	+	CCONJ
ejpam-6379	250	4	i	i	PRON
ejpam-6379	250	5	+	+	NOUN
ejpam-6379	250	6	h	h	NOUN
ejpam-6379	250	7	+	+	CCONJ
ejpam-6379	250	8	v	v	ADJ
ejpam-6379	250	9	+	+	PROPN
ejpam-6379	250	10	r−	r−	PROPN
ejpam-6379	250	11	w1	w1	NOUN
ejpam-6379	250	12	lns	lns	PROPN
ejpam-6379	250	13	−	−	PROPN
ejpam-6379	250	14	w2	w2	NOUN
ejpam-6379	250	15	lne	lne	NOUN
ejpam-6379	250	16	−w3	−w3	PROPN
ejpam-6379	250	17	ln	ln	PROPN
ejpam-6379	251	1	i	i	PRON
ejpam-6379	251	2	−	−	PROPN
ejpam-6379	251	3	w4	w4	PROPN
ejpam-6379	251	4	lnv	lnv	NOUN
ejpam-6379	251	5	)	)	PUNCT
ejpam-6379	251	6	−	−	PROPN
ejpam-6379	252	1	lns	lns	PROPN
ejpam-6379	252	2	−	−	PROPN
ejpam-6379	252	3	lnh	lnh	PROPN
ejpam-6379	252	4	−	−	PROPN
ejpam-6379	253	1	lnr+	lnr+	PROPN
ejpam-6379	253	2	s	s	PART
ejpam-6379	253	3	+	+	CCONJ
ejpam-6379	253	4	e	e	X
ejpam-6379	253	5	+	+	NOUN
ejpam-6379	253	6	i	i	PROPN
ejpam-6379	253	7	+	+	NOUN
ejpam-6379	253	8	h	h	NOUN
ejpam-6379	253	9	+	+	X
ejpam-6379	253	10	v	v	ADP
ejpam-6379	253	11	+	+	NOUN
ejpam-6379	253	12	r	r	NOUN
ejpam-6379	253	13	=	=	SYM
ejpam-6379	253	14	(	(	PUNCT
ejpam-6379	253	15	w5	w5	PROPN
ejpam-6379	253	16	+	+	CCONJ
ejpam-6379	253	17	1	1	NUM
ejpam-6379	253	18	)	)	PUNCT
ejpam-6379	253	19	(	(	PUNCT
ejpam-6379	253	20	s	s	VERB
ejpam-6379	253	21	+	+	X
ejpam-6379	253	22	e	e	NOUN
ejpam-6379	254	1	+	+	CCONJ
ejpam-6379	254	2	i	i	PRON
ejpam-6379	254	3	+	+	NOUN
ejpam-6379	254	4	h	h	NOUN
ejpam-6379	254	5	+	+	X
ejpam-6379	254	6	v	v	ADP
ejpam-6379	254	7	+	+	NOUN
ejpam-6379	254	8	r	r	NOUN
ejpam-6379	254	9	)	)	PUNCT
ejpam-6379	254	10	−(w1w5	−(w1w5	PUNCT
ejpam-6379	255	1	+	+	PUNCT
ejpam-6379	255	2	1	1	X
ejpam-6379	255	3	)	)	PUNCT
ejpam-6379	255	4	lns	lns	NOUN
ejpam-6379	255	5	−	−	PROPN
ejpam-6379	256	1	w2w5	w2w5	AUX
ejpam-6379	256	2	lne	lne	VERB
ejpam-6379	256	3	−	−	NOUN
ejpam-6379	257	1	w3w5	w3w5	AUX
ejpam-6379	257	2	ln	ln	NOUN
ejpam-6379	257	3	i	i	PRON
ejpam-6379	257	4	−w4w5	−w4w5	NOUN
ejpam-6379	257	5	lnv	lnv	NOUN
ejpam-6379	257	6	−	−	PROPN
ejpam-6379	258	1	lnh	lnh	PROPN
ejpam-6379	258	2	−	−	PROPN
ejpam-6379	258	3	lnr	lnr	PROPN
ejpam-6379	258	4	where	where	SCONJ
ejpam-6379	258	5	w5	w5	PROPN
ejpam-6379	258	6	is	be	AUX
ejpam-6379	258	7	positive	positive	ADJ
ejpam-6379	258	8	constant	constant	ADJ
ejpam-6379	258	9	.	.	PUNCT
ejpam-6379	259	1	it	it	PRON
ejpam-6379	259	2	is	be	AUX
ejpam-6379	259	3	easy	easy	ADJ
ejpam-6379	259	4	to	to	PART
ejpam-6379	259	5	check	check	VERB
ejpam-6379	259	6	that	that	DET
ejpam-6379	259	7	notice	notice	NOUN
ejpam-6379	259	8	that	that	SCONJ
ejpam-6379	259	9	,	,	PUNCT
ejpam-6379	259	10	let	let	VERB
ejpam-6379	259	11	z	z	NOUN
ejpam-6379	259	12	→	→	SYM
ejpam-6379	259	13	∞,then	∞,then	X
ejpam-6379	259	14	we	we	PRON
ejpam-6379	259	15	have	have	VERB
ejpam-6379	259	16	lim	lim	PROPN
ejpam-6379	259	17	z→∞,(s	z→∞,(s	PROPN
ejpam-6379	259	18	,	,	PUNCT
ejpam-6379	259	19	e	e	PROPN
ejpam-6379	259	20	,	,	PUNCT
ejpam-6379	259	21	i	i	PRON
ejpam-6379	259	22	,	,	PUNCT
ejpam-6379	259	23	h	h	NOUN
ejpam-6379	259	24	,	,	PUNCT
ejpam-6379	259	25	v	v	NOUN
ejpam-6379	259	26	,	,	PUNCT
ejpam-6379	259	27	r)∈r6	r)∈r6	ADV
ejpam-6379	259	28	+	+	ADJ
ejpam-6379	259	29	\uz	\uz	PROPN
ejpam-6379	259	30	inf	inf	PROPN
ejpam-6379	259	31	v2(s	v2(s	NOUN
ejpam-6379	259	32	,	,	PUNCT
ejpam-6379	259	33	e	e	NOUN
ejpam-6379	259	34	,	,	PUNCT
ejpam-6379	259	35	i	i	PRON
ejpam-6379	259	36	,	,	PUNCT
ejpam-6379	259	37	h	h	PROPN
ejpam-6379	259	38	,	,	PUNCT
ejpam-6379	259	39	v	v	NOUN
ejpam-6379	259	40	,	,	PUNCT
ejpam-6379	259	41	r	r	NOUN
ejpam-6379	259	42	)	)	PUNCT
ejpam-6379	259	43	=	=	PUNCT
ejpam-6379	260	1	+	+	NUM
ejpam-6379	260	2	∞	∞	PROPN
ejpam-6379	260	3	(	(	PUNCT
ejpam-6379	260	4	14	14	NUM
ejpam-6379	260	5	)	)	PUNCT
ejpam-6379	260	6	where	where	SCONJ
ejpam-6379	260	7	uz	uz	PROPN
ejpam-6379	260	8	=	=	X
ejpam-6379	260	9	(	(	PUNCT
ejpam-6379	260	10	1z	1z	NOUN
ejpam-6379	260	11	,	,	PUNCT
ejpam-6379	260	12	z)×	z)×	NUM
ejpam-6379	260	13	(	(	PUNCT
ejpam-6379	260	14	1z	1z	NOUN
ejpam-6379	260	15	,	,	PUNCT
ejpam-6379	260	16	z)×	z)×	NUM
ejpam-6379	260	17	(	(	PUNCT
ejpam-6379	260	18	1z	1z	NOUN
ejpam-6379	260	19	,	,	PUNCT
ejpam-6379	260	20	z)×	z)×	NUM
ejpam-6379	260	21	(	(	PUNCT
ejpam-6379	260	22	1z	1z	NOUN
ejpam-6379	260	23	,	,	PUNCT
ejpam-6379	260	24	z)×	z)×	NUM
ejpam-6379	260	25	(	(	PUNCT
ejpam-6379	260	26	1z	1z	NOUN
ejpam-6379	260	27	,	,	PUNCT
ejpam-6379	260	28	z)×	z)×	NUM
ejpam-6379	260	29	(	(	PUNCT
ejpam-6379	260	30	1z	1z	NOUN
ejpam-6379	260	31	,	,	PUNCT
ejpam-6379	260	32	z	z	NOUN
ejpam-6379	260	33	)	)	PUNCT
ejpam-6379	260	34	.	.	PUNCT
ejpam-6379	261	1	the	the	DET
ejpam-6379	261	2	next	next	ADJ
ejpam-6379	261	3	step	step	NOUN
ejpam-6379	261	4	is	be	AUX
ejpam-6379	261	5	to	to	PART
ejpam-6379	261	6	prove	prove	VERB
ejpam-6379	261	7	that	that	SCONJ
ejpam-6379	261	8	v2(s	v2(s	NOUN
ejpam-6379	261	9	,	,	PUNCT
ejpam-6379	261	10	e	e	NOUN
ejpam-6379	261	11	,	,	PUNCT
ejpam-6379	261	12	i	i	PRON
ejpam-6379	261	13	,	,	PUNCT
ejpam-6379	261	14	h	h	PROPN
ejpam-6379	261	15	,	,	PUNCT
ejpam-6379	261	16	v	v	NOUN
ejpam-6379	261	17	,	,	PUNCT
ejpam-6379	261	18	r	r	NOUN
ejpam-6379	261	19	)	)	PUNCT
ejpam-6379	261	20	has	have	VERB
ejpam-6379	261	21	one	one	NUM
ejpam-6379	261	22	and	and	CCONJ
ejpam-6379	261	23	only	only	ADV
ejpam-6379	261	24	one	one	NUM
ejpam-6379	261	25	minimum	minimum	ADJ
ejpam-6379	261	26	value	value	NOUN
ejpam-6379	261	27	v2(s(0	v2(s(0	NOUN
ejpam-6379	261	28	)	)	PUNCT
ejpam-6379	261	29	,	,	PUNCT
ejpam-6379	261	30	e(0	e(0	NOUN
ejpam-6379	261	31	)	)	PUNCT
ejpam-6379	261	32	,	,	PUNCT
ejpam-6379	261	33	i(0	i(0	PROPN
ejpam-6379	261	34	)	)	PUNCT
ejpam-6379	261	35	,	,	PUNCT
ejpam-6379	261	36	h(0	h(0	PROPN
ejpam-6379	261	37	)	)	PUNCT
ejpam-6379	261	38	,	,	PUNCT
ejpam-6379	261	39	v	v	X
ejpam-6379	261	40	(	(	PUNCT
ejpam-6379	261	41	0	0	NUM
ejpam-6379	261	42	)	)	PUNCT
ejpam-6379	261	43	,	,	PUNCT
ejpam-6379	261	44	r(0	r(0	PROPN
ejpam-6379	261	45	)	)	PUNCT
ejpam-6379	261	46	)	)	PUNCT
ejpam-6379	261	47	.	.	PUNCT
ejpam-6379	262	1	the	the	DET
ejpam-6379	262	2	partial	partial	ADJ
ejpam-6379	262	3	derivative	derivative	NOUN
ejpam-6379	262	4	of	of	ADP
ejpam-6379	262	5	v2(s	v2(s	NOUN
ejpam-6379	262	6	,	,	PUNCT
ejpam-6379	262	7	e	e	NOUN
ejpam-6379	262	8	,	,	PUNCT
ejpam-6379	262	9	i	i	PRON
ejpam-6379	262	10	,	,	PUNCT
ejpam-6379	262	11	h	h	PROPN
ejpam-6379	262	12	,	,	PUNCT
ejpam-6379	262	13	v	v	NOUN
ejpam-6379	262	14	,	,	PUNCT
ejpam-6379	262	15	r	r	NOUN
ejpam-6379	262	16	)	)	PUNCT
ejpam-6379	262	17	with	with	ADP
ejpam-6379	262	18	respect	respect	NOUN
ejpam-6379	262	19	to	to	ADP
ejpam-6379	262	20	s	s	PRON
ejpam-6379	262	21	,	,	PUNCT
ejpam-6379	262	22	e	e	NOUN
ejpam-6379	262	23	,	,	PUNCT
ejpam-6379	262	24	i	i	PRON
ejpam-6379	262	25	,	,	PUNCT
ejpam-6379	262	26	h	h	PROPN
ejpam-6379	262	27	,	,	PUNCT
ejpam-6379	262	28	v	v	NOUN
ejpam-6379	262	29	,	,	PUNCT
ejpam-6379	262	30	r	r	NOUN
ejpam-6379	262	31	is	be	AUX
ejpam-6379	262	32	as	as	SCONJ
ejpam-6379	262	33	follow	follow	VERB
ejpam-6379	262	34	∂v2(s	∂v2(s	NOUN
ejpam-6379	262	35	,	,	PUNCT
ejpam-6379	262	36	e	e	PROPN
ejpam-6379	262	37	,	,	PUNCT
ejpam-6379	262	38	i	i	PRON
ejpam-6379	262	39	,	,	PUNCT
ejpam-6379	262	40	h	h	PROPN
ejpam-6379	262	41	,	,	PUNCT
ejpam-6379	262	42	v	v	NOUN
ejpam-6379	262	43	,	,	PUNCT
ejpam-6379	262	44	r	r	NOUN
ejpam-6379	262	45	)	)	PUNCT
ejpam-6379	262	46	∂s	∂s	NOUN
ejpam-6379	263	1	=	=	SYM
ejpam-6379	263	2	1	1	NUM
ejpam-6379	263	3	+	+	NUM
ejpam-6379	263	4	w5	w5	PROPN
ejpam-6379	263	5	−	−	PROPN
ejpam-6379	263	6	(	(	PUNCT
ejpam-6379	263	7	w5w1	w5w1	X
ejpam-6379	263	8	+	+	CCONJ
ejpam-6379	263	9	1	1	X
ejpam-6379	263	10	)	)	PUNCT
ejpam-6379	263	11	s	s	VERB
ejpam-6379	263	12	∂v2(s	∂v2(s	NOUN
ejpam-6379	263	13	,	,	PUNCT
ejpam-6379	263	14	e	e	PROPN
ejpam-6379	263	15	,	,	PUNCT
ejpam-6379	263	16	i	i	PRON
ejpam-6379	263	17	,	,	PUNCT
ejpam-6379	263	18	h	h	PROPN
ejpam-6379	263	19	,	,	PUNCT
ejpam-6379	263	20	v	v	NOUN
ejpam-6379	263	21	,	,	PUNCT
ejpam-6379	264	1	r	r	NOUN
ejpam-6379	264	2	)	)	PUNCT
ejpam-6379	264	3	∂e	∂e	NOUN
ejpam-6379	264	4	=	=	NOUN
ejpam-6379	264	5	1	1	NUM
ejpam-6379	265	1	+	+	NUM
ejpam-6379	265	2	w5	w5	PROPN
ejpam-6379	265	3	−	−	PROPN
ejpam-6379	265	4	w5w2	w5w2	PROPN
ejpam-6379	265	5	e	e	PROPN
ejpam-6379	265	6	∂v2(s	∂v2(s	NOUN
ejpam-6379	265	7	,	,	PUNCT
ejpam-6379	265	8	e	e	PROPN
ejpam-6379	265	9	,	,	PUNCT
ejpam-6379	265	10	i	i	PRON
ejpam-6379	265	11	,	,	PUNCT
ejpam-6379	265	12	h	h	PROPN
ejpam-6379	265	13	,	,	PUNCT
ejpam-6379	265	14	v	v	NOUN
ejpam-6379	265	15	,	,	PUNCT
ejpam-6379	265	16	r	r	NOUN
ejpam-6379	265	17	)	)	PUNCT
ejpam-6379	265	18	∂i	∂i	PROPN
ejpam-6379	265	19	=	=	SYM
ejpam-6379	265	20	1	1	NUM
ejpam-6379	265	21	+	+	NUM
ejpam-6379	265	22	w5	w5	PROPN
ejpam-6379	265	23	−	−	PROPN
ejpam-6379	266	1	w5w3	w5w3	NOUN
ejpam-6379	266	2	i	i	PROPN
ejpam-6379	266	3	∂v2(s	∂v2(s	NOUN
ejpam-6379	266	4	,	,	PUNCT
ejpam-6379	266	5	e	e	PROPN
ejpam-6379	266	6	,	,	PUNCT
ejpam-6379	266	7	i	i	PRON
ejpam-6379	266	8	,	,	PUNCT
ejpam-6379	266	9	h	h	PROPN
ejpam-6379	266	10	,	,	PUNCT
ejpam-6379	266	11	v	v	NOUN
ejpam-6379	266	12	,	,	PUNCT
ejpam-6379	266	13	r	r	NOUN
ejpam-6379	266	14	)	)	PUNCT
ejpam-6379	266	15	∂h	∂h	NOUN
ejpam-6379	266	16	=	=	SYM
ejpam-6379	266	17	1	1	NUM
ejpam-6379	266	18	+	+	NUM
ejpam-6379	266	19	w5	w5	PROPN
ejpam-6379	266	20	−	−	PROPN
ejpam-6379	266	21	1	1	NUM
ejpam-6379	266	22	h	h	NOUN
ejpam-6379	266	23	∂v2(s	∂v2(s	NOUN
ejpam-6379	266	24	,	,	PUNCT
ejpam-6379	266	25	e	e	PROPN
ejpam-6379	266	26	,	,	PUNCT
ejpam-6379	266	27	i	i	PRON
ejpam-6379	266	28	,	,	PUNCT
ejpam-6379	266	29	h	h	PROPN
ejpam-6379	266	30	,	,	PUNCT
ejpam-6379	266	31	v	v	NOUN
ejpam-6379	266	32	,	,	PUNCT
ejpam-6379	266	33	r	r	NOUN
ejpam-6379	266	34	)	)	PUNCT
ejpam-6379	266	35	∂v	∂v	NOUN
ejpam-6379	266	36	=	=	SYM
ejpam-6379	266	37	1	1	NUM
ejpam-6379	266	38	+	+	NUM
ejpam-6379	266	39	w5	w5	PROPN
ejpam-6379	266	40	−	−	PROPN
ejpam-6379	267	1	w5w4	w5w4	PROPN
ejpam-6379	268	1	v	v	PROPN
ejpam-6379	268	2	∂v2(s	∂v2(s	PROPN
ejpam-6379	268	3	,	,	PUNCT
ejpam-6379	268	4	e	e	PROPN
ejpam-6379	268	5	,	,	PUNCT
ejpam-6379	268	6	i	i	PRON
ejpam-6379	268	7	,	,	PUNCT
ejpam-6379	268	8	h	h	PROPN
ejpam-6379	268	9	,	,	PUNCT
ejpam-6379	268	10	v	v	NOUN
ejpam-6379	268	11	,	,	PUNCT
ejpam-6379	268	12	r	r	NOUN
ejpam-6379	268	13	)	)	PUNCT
ejpam-6379	268	14	∂r	∂r	NOUN
ejpam-6379	268	15	=	=	NOUN
ejpam-6379	268	16	1	1	NUM
ejpam-6379	268	17	+	+	NUM
ejpam-6379	268	18	w5	w5	PROPN
ejpam-6379	268	19	−	−	NOUN
ejpam-6379	269	1	1	1	NUM
ejpam-6379	269	2	r	r	NOUN
ejpam-6379	269	3	we	we	PRON
ejpam-6379	269	4	can	can	AUX
ejpam-6379	269	5	easily	easily	ADV
ejpam-6379	269	6	show	show	VERB
ejpam-6379	269	7	that	that	SCONJ
ejpam-6379	269	8	v2	v2	PROPN
ejpam-6379	269	9	has	have	VERB
ejpam-6379	269	10	unique	unique	ADJ
ejpam-6379	269	11	stagnation	stagnation	NOUN
ejpam-6379	269	12	point	point	NOUN
ejpam-6379	269	13	(	(	PUNCT
ejpam-6379	269	14	s(0	s(0	PROPN
ejpam-6379	269	15	)	)	PUNCT
ejpam-6379	269	16	,	,	PUNCT
ejpam-6379	269	17	e(0	e(0	NOUN
ejpam-6379	269	18	)	)	PUNCT
ejpam-6379	269	19	,	,	PUNCT
ejpam-6379	269	20	i(0	i(0	PROPN
ejpam-6379	269	21	)	)	PUNCT
ejpam-6379	269	22	,	,	PUNCT
ejpam-6379	269	23	h(0	h(0	PROPN
ejpam-6379	269	24	)	)	PUNCT
ejpam-6379	269	25	,	,	PUNCT
ejpam-6379	269	26	v	v	X
ejpam-6379	269	27	(	(	PUNCT
ejpam-6379	269	28	0	0	NUM
ejpam-6379	269	29	)	)	PUNCT
ejpam-6379	269	30	,	,	PUNCT
ejpam-6379	269	31	r(0	r(0	PROPN
ejpam-6379	269	32	)	)	PUNCT
ejpam-6379	269	33	)	)	PUNCT
ejpam-6379	270	1	=(	=(	NOUN
ejpam-6379	271	1	w5w1	w5w1	INTJ
ejpam-6379	271	2	+	+	CCONJ
ejpam-6379	271	3	1	1	NUM
ejpam-6379	271	4	1	1	NUM
ejpam-6379	271	5	+	+	CCONJ
ejpam-6379	271	6	w5	w5	PROPN
ejpam-6379	271	7	,	,	PUNCT
ejpam-6379	271	8	w5w2	w5w2	PROPN
ejpam-6379	271	9	1	1	NUM
ejpam-6379	271	10	+	+	NUM
ejpam-6379	271	11	w5	w5	PROPN
ejpam-6379	271	12	,	,	PUNCT
ejpam-6379	271	13	w5w3	w5w3	NOUN
ejpam-6379	271	14	1	1	NUM
ejpam-6379	272	1	+	+	CCONJ
ejpam-6379	272	2	w5	w5	PROPN
ejpam-6379	272	3	,	,	PUNCT
ejpam-6379	272	4	1	1	NUM
ejpam-6379	272	5	1	1	NUM
ejpam-6379	272	6	+	+	CCONJ
ejpam-6379	272	7	w5	w5	PROPN
ejpam-6379	272	8	,	,	PUNCT
ejpam-6379	272	9	w5w4	w5w4	PROPN
ejpam-6379	272	10	1	1	NUM
ejpam-6379	272	11	+	+	CCONJ
ejpam-6379	272	12	w5	w5	PROPN
ejpam-6379	272	13	,	,	PUNCT
ejpam-6379	272	14	1	1	NUM
ejpam-6379	272	15	1	1	NUM
ejpam-6379	272	16	+	+	NUM
ejpam-6379	272	17	w5	w5	PROPN
ejpam-6379	272	18	)	)	PUNCT
ejpam-6379	272	19	(	(	PUNCT
ejpam-6379	272	20	15	15	X
ejpam-6379	272	21	)	)	PUNCT
ejpam-6379	272	22	r.	r.	PROPN
ejpam-6379	272	23	saadeh	saadeh	PROPN
ejpam-6379	272	24	et	et	PROPN
ejpam-6379	272	25	al	al	PROPN
ejpam-6379	272	26	.	.	PUNCT
ejpam-6379	272	27	/	/	SYM
ejpam-6379	272	28	eur	eur	PROPN
ejpam-6379	272	29	.	.	PUNCT
ejpam-6379	273	1	j.	j.	PROPN
ejpam-6379	273	2	pure	pure	PROPN
ejpam-6379	273	3	appl	appl	PROPN
ejpam-6379	273	4	.	.	PROPN
ejpam-6379	273	5	math	math	PROPN
ejpam-6379	273	6	,	,	PUNCT
ejpam-6379	273	7	18	18	NUM
ejpam-6379	273	8	(	(	PUNCT
ejpam-6379	273	9	3	3	NUM
ejpam-6379	273	10	)	)	PUNCT
ejpam-6379	273	11	(	(	PUNCT
ejpam-6379	273	12	2025	2025	NUM
ejpam-6379	273	13	)	)	PUNCT
ejpam-6379	273	14	,	,	PUNCT
ejpam-6379	273	15	6379	6379	NUM
ejpam-6379	273	16	13	13	NUM
ejpam-6379	273	17	of	of	ADP
ejpam-6379	273	18	34	34	NUM
ejpam-6379	273	19	moreover	moreover	ADV
ejpam-6379	273	20	,	,	PUNCT
ejpam-6379	273	21	the	the	DET
ejpam-6379	273	22	hessain	hessain	NOUN
ejpam-6379	273	23	matrix	matrix	NOUN
ejpam-6379	273	24	of	of	ADP
ejpam-6379	273	25	v2(s	v2(s	NOUN
ejpam-6379	273	26	,	,	PUNCT
ejpam-6379	273	27	e	e	NOUN
ejpam-6379	273	28	,	,	PUNCT
ejpam-6379	273	29	i	i	PRON
ejpam-6379	273	30	,	,	PUNCT
ejpam-6379	273	31	h	h	PROPN
ejpam-6379	273	32	,	,	PUNCT
ejpam-6379	273	33	v	v	NOUN
ejpam-6379	273	34	,	,	PUNCT
ejpam-6379	273	35	r	r	NOUN
ejpam-6379	273	36	)	)	PUNCT
ejpam-6379	273	37	at	at	ADP
ejpam-6379	273	38	(	(	PUNCT
ejpam-6379	273	39	s(0	s(0	PROPN
ejpam-6379	273	40	)	)	PUNCT
ejpam-6379	273	41	,	,	PUNCT
ejpam-6379	273	42	e(0	e(0	NOUN
ejpam-6379	273	43	)	)	PUNCT
ejpam-6379	273	44	,	,	PUNCT
ejpam-6379	273	45	i(0	i(0	PROPN
ejpam-6379	273	46	)	)	PUNCT
ejpam-6379	273	47	,	,	PUNCT
ejpam-6379	273	48	h(0	h(0	PROPN
ejpam-6379	273	49	)	)	PUNCT
ejpam-6379	273	50	,	,	PUNCT
ejpam-6379	273	51	v	v	X
ejpam-6379	273	52	(	(	PUNCT
ejpam-6379	273	53	0	0	NUM
ejpam-6379	273	54	)	)	PUNCT
ejpam-6379	273	55	,	,	PUNCT
ejpam-6379	273	56	r(0	r(0	PROPN
ejpam-6379	273	57	)	)	PUNCT
ejpam-6379	273	58	)	)	PUNCT
ejpam-6379	273	59	is	be	AUX
ejpam-6379	273	60	h	h	NOUN
ejpam-6379	273	61	=	=	PUNCT
ejpam-6379	273	62			NOUN
ejpam-6379	273	63	w5w1	w5w1	X
ejpam-6379	273	64	+	+	CCONJ
ejpam-6379	273	65	1	1	NUM
ejpam-6379	273	66	s2(0	s2(0	NOUN
ejpam-6379	273	67	)	)	PUNCT
ejpam-6379	273	68	0	0	NUM
ejpam-6379	274	1	0	0	NUM
ejpam-6379	274	2	0	0	NUM
ejpam-6379	274	3	0	0	NUM
ejpam-6379	274	4	0	0	NUM
ejpam-6379	274	5	0	0	NUM
ejpam-6379	274	6	w5w2	w5w2	X
ejpam-6379	274	7	e2(0	e2(0	PROPN
ejpam-6379	274	8	)	)	PUNCT
ejpam-6379	274	9	0	0	NUM
ejpam-6379	274	10	0	0	NUM
ejpam-6379	274	11	0	0	NUM
ejpam-6379	274	12	0	0	NUM
ejpam-6379	274	13	0	0	NUM
ejpam-6379	274	14	0	0	NUM
ejpam-6379	274	15	w5w3	w5w3	NOUN
ejpam-6379	274	16	i2(0	i2(0	NOUN
ejpam-6379	274	17	)	)	PUNCT
ejpam-6379	274	18	0	0	NUM
ejpam-6379	274	19	0	0	NUM
ejpam-6379	274	20	0	0	NUM
ejpam-6379	274	21	0	0	NUM
ejpam-6379	274	22	0	0	NUM
ejpam-6379	274	23	0	0	NUM
ejpam-6379	274	24	1	1	NUM
ejpam-6379	274	25	h2(0	h2(0	NOUN
ejpam-6379	274	26	)	)	PUNCT
ejpam-6379	274	27	0	0	NUM
ejpam-6379	274	28	0	0	NUM
ejpam-6379	274	29	0	0	NUM
ejpam-6379	274	30	0	0	NUM
ejpam-6379	274	31	0	0	NUM
ejpam-6379	274	32	0	0	NUM
ejpam-6379	275	1	w5w4	w5w4	PROPN
ejpam-6379	275	2	v	v	ADP
ejpam-6379	275	3	2(0	2(0	NUM
ejpam-6379	275	4	)	)	PUNCT
ejpam-6379	275	5	0	0	NUM
ejpam-6379	275	6	0	0	NUM
ejpam-6379	275	7	0	0	NUM
ejpam-6379	275	8	0	0	NUM
ejpam-6379	275	9	0	0	NUM
ejpam-6379	275	10	0	0	NUM
ejpam-6379	275	11	1	1	NUM
ejpam-6379	275	12	r2(0	r2(0	NOUN
ejpam-6379	275	13	)	)	PUNCT
ejpam-6379	275	14			PUNCT
ejpam-6379	276	1	the	the	DET
ejpam-6379	276	2	hessian	hessian	ADJ
ejpam-6379	276	3	matrix	matrix	NOUN
ejpam-6379	276	4	is	be	AUX
ejpam-6379	276	5	positive	positive	ADJ
ejpam-6379	276	6	definite	definite	ADJ
ejpam-6379	276	7	.	.	PUNCT
ejpam-6379	277	1	thus	thus	ADV
ejpam-6379	277	2	,	,	PUNCT
ejpam-6379	277	3	v2(s	v2(s	NOUN
ejpam-6379	277	4	,	,	PUNCT
ejpam-6379	277	5	e	e	NOUN
ejpam-6379	277	6	,	,	PUNCT
ejpam-6379	277	7	i	i	PRON
ejpam-6379	277	8	,	,	PUNCT
ejpam-6379	277	9	h	h	PROPN
ejpam-6379	277	10	,	,	PUNCT
ejpam-6379	277	11	v	v	NOUN
ejpam-6379	277	12	,	,	PUNCT
ejpam-6379	277	13	r	r	NOUN
ejpam-6379	277	14	)	)	PUNCT
ejpam-6379	277	15	has	have	VERB
ejpam-6379	277	16	a	a	DET
ejpam-6379	277	17	minimum	minimum	ADJ
ejpam-6379	277	18	value	value	NOUN
ejpam-6379	277	19	v2(s(0	v2(s(0	NOUN
ejpam-6379	277	20	)	)	PUNCT
ejpam-6379	277	21	,	,	PUNCT
ejpam-6379	277	22	e(0	e(0	NOUN
ejpam-6379	277	23	)	)	PUNCT
ejpam-6379	277	24	,	,	PUNCT
ejpam-6379	277	25	i(0	i(0	PROPN
ejpam-6379	277	26	)	)	PUNCT
ejpam-6379	277	27	,	,	PUNCT
ejpam-6379	277	28	h(0	h(0	PROPN
ejpam-6379	277	29	)	)	PUNCT
ejpam-6379	277	30	,	,	PUNCT
ejpam-6379	277	31	v	v	X
ejpam-6379	277	32	(	(	PUNCT
ejpam-6379	277	33	0	0	NUM
ejpam-6379	277	34	)	)	PUNCT
ejpam-6379	277	35	,	,	PUNCT
ejpam-6379	277	36	r(0	r(0	PROPN
ejpam-6379	277	37	)	)	PUNCT
ejpam-6379	277	38	)	)	PUNCT
ejpam-6379	277	39	.	.	PUNCT
ejpam-6379	278	1	from	from	ADP
ejpam-6379	278	2	the	the	DET
ejpam-6379	278	3	continuity	continuity	NOUN
ejpam-6379	278	4	of	of	ADP
ejpam-6379	278	5	v2(s	v2(s	NOUN
ejpam-6379	278	6	,	,	PUNCT
ejpam-6379	278	7	e	e	NOUN
ejpam-6379	278	8	,	,	PUNCT
ejpam-6379	278	9	i	i	PRON
ejpam-6379	278	10	,	,	PUNCT
ejpam-6379	278	11	h	h	PROPN
ejpam-6379	278	12	,	,	PUNCT
ejpam-6379	278	13	v	v	NOUN
ejpam-6379	278	14	,	,	PUNCT
ejpam-6379	278	15	r	r	NOUN
ejpam-6379	278	16	)	)	PUNCT
ejpam-6379	278	17	and	and	CCONJ
ejpam-6379	278	18	according	accord	VERB
ejpam-6379	278	19	to	to	ADP
ejpam-6379	278	20	equation	equation	NOUN
ejpam-6379	278	21	(	(	PUNCT
ejpam-6379	278	22	14	14	NUM
ejpam-6379	278	23	)	)	PUNCT
ejpam-6379	278	24	,	,	PUNCT
ejpam-6379	278	25	one	one	PRON
ejpam-6379	278	26	can	can	AUX
ejpam-6379	278	27	say	say	VERB
ejpam-6379	278	28	that	that	SCONJ
ejpam-6379	278	29	v2(s	v2(s	NOUN
ejpam-6379	278	30	,	,	PUNCT
ejpam-6379	278	31	e	e	NOUN
ejpam-6379	278	32	,	,	PUNCT
ejpam-6379	278	33	i	i	PRON
ejpam-6379	278	34	,	,	PUNCT
ejpam-6379	278	35	h	h	PROPN
ejpam-6379	278	36	,	,	PUNCT
ejpam-6379	278	37	v	v	NOUN
ejpam-6379	278	38	,	,	PUNCT
ejpam-6379	278	39	r	r	NOUN
ejpam-6379	278	40	)	)	PUNCT
ejpam-6379	278	41	has	have	VERB
ejpam-6379	278	42	one	one	NUM
ejpam-6379	278	43	and	and	CCONJ
ejpam-6379	278	44	only	only	ADV
ejpam-6379	278	45	one	one	NUM
ejpam-6379	278	46	minimum	minimum	ADJ
ejpam-6379	278	47	value	value	NOUN
ejpam-6379	278	48	v2(s(0	v2(s(0	NOUN
ejpam-6379	278	49	)	)	PUNCT
ejpam-6379	278	50	,	,	PUNCT
ejpam-6379	278	51	e(0	e(0	NOUN
ejpam-6379	278	52	)	)	PUNCT
ejpam-6379	278	53	,	,	PUNCT
ejpam-6379	278	54	i(0	i(0	PROPN
ejpam-6379	278	55	)	)	PUNCT
ejpam-6379	278	56	,	,	PUNCT
ejpam-6379	278	57	h(0	h(0	PROPN
ejpam-6379	278	58	)	)	PUNCT
ejpam-6379	278	59	,	,	PUNCT
ejpam-6379	278	60	v	v	X
ejpam-6379	278	61	(	(	PUNCT
ejpam-6379	278	62	0	0	NUM
ejpam-6379	278	63	)	)	PUNCT
ejpam-6379	278	64	,	,	PUNCT
ejpam-6379	278	65	r(0	r(0	PROPN
ejpam-6379	278	66	)	)	PUNCT
ejpam-6379	278	67	)	)	PUNCT
ejpam-6379	278	68	in	in	ADP
ejpam-6379	278	69	r6	r6	PROPN
ejpam-6379	278	70	+	+	PROPN
ejpam-6379	278	71	.	.	PUNCT
ejpam-6379	279	1	now	now	ADV
ejpam-6379	279	2	,	,	PUNCT
ejpam-6379	279	3	we	we	PRON
ejpam-6379	279	4	will	will	AUX
ejpam-6379	279	5	define	define	VERB
ejpam-6379	279	6	a	a	DET
ejpam-6379	279	7	non	non	ADJ
ejpam-6379	279	8	-	-	ADJ
ejpam-6379	279	9	negative	negative	ADJ
ejpam-6379	279	10	lyapunov	lyapunov	NOUN
ejpam-6379	279	11	c2−	c2−	PROPN
ejpam-6379	279	12	function	function	NOUN
ejpam-6379	279	13	v	v	NOUN
ejpam-6379	279	14	:	:	PUNCT
ejpam-6379	279	15	r6	r6	NOUN
ejpam-6379	279	16	+	+	CCONJ
ejpam-6379	279	17	−→	−→	ADJ
ejpam-6379	279	18	r+	r+	NOUN
ejpam-6379	279	19	as	as	SCONJ
ejpam-6379	279	20	follows	follow	VERB
ejpam-6379	279	21	v	v	NOUN
ejpam-6379	279	22	=	=	SYM
ejpam-6379	279	23	v2(s	v2(s	NOUN
ejpam-6379	279	24	,	,	PUNCT
ejpam-6379	279	25	e	e	NOUN
ejpam-6379	279	26	,	,	PUNCT
ejpam-6379	279	27	i	i	PRON
ejpam-6379	279	28	,	,	PUNCT
ejpam-6379	279	29	h	h	PROPN
ejpam-6379	279	30	,	,	PUNCT
ejpam-6379	279	31	v	v	NOUN
ejpam-6379	279	32	,	,	PUNCT
ejpam-6379	279	33	r)−	r)−	PROPN
ejpam-6379	279	34	v2(s(0	v2(s(0	NOUN
ejpam-6379	279	35	)	)	PUNCT
ejpam-6379	279	36	,	,	PUNCT
ejpam-6379	279	37	e(0	e(0	NOUN
ejpam-6379	279	38	)	)	PUNCT
ejpam-6379	279	39	,	,	PUNCT
ejpam-6379	279	40	i(0	i(0	PROPN
ejpam-6379	279	41	)	)	PUNCT
ejpam-6379	279	42	,	,	PUNCT
ejpam-6379	279	43	h(0	h(0	PROPN
ejpam-6379	279	44	)	)	PUNCT
ejpam-6379	279	45	,	,	PUNCT
ejpam-6379	279	46	v	v	X
ejpam-6379	279	47	(	(	PUNCT
ejpam-6379	279	48	0	0	NUM
ejpam-6379	279	49	)	)	PUNCT
ejpam-6379	279	50	,	,	PUNCT
ejpam-6379	279	51	r(0	r(0	PROPN
ejpam-6379	279	52	)	)	PUNCT
ejpam-6379	279	53	)	)	PUNCT
ejpam-6379	279	54	applying	apply	VERB
ejpam-6379	279	55	the	the	DET
ejpam-6379	279	56	itô	itô	PROPN
ejpam-6379	279	57	’s	’s	PART
ejpam-6379	279	58	formula	formula	NOUN
ejpam-6379	279	59	and	and	CCONJ
ejpam-6379	279	60	using	use	VERB
ejpam-6379	279	61	the	the	DET
ejpam-6379	279	62	stochastic	stochastic	ADJ
ejpam-6379	279	63	model	model	NOUN
ejpam-6379	279	64	(	(	PUNCT
ejpam-6379	279	65	2	2	NUM
ejpam-6379	279	66	)	)	PUNCT
ejpam-6379	279	67	,	,	PUNCT
ejpam-6379	279	68	we	we	PRON
ejpam-6379	279	69	obtain	obtain	VERB
ejpam-6379	279	70	lv	lv	PRON
ejpam-6379	279	71	≤	≤	PROPN
ejpam-6379	279	72	−w5w6	−w5w6	PROPN
ejpam-6379	280	1	+	+	PUNCT
ejpam-6379	280	2	(	(	PUNCT
ejpam-6379	280	3	w5w1	w5w1	X
ejpam-6379	280	4	+	+	CCONJ
ejpam-6379	280	5	1	1	NUM
ejpam-6379	280	6	)	)	PUNCT
ejpam-6379	280	7	β(e	β(e	NOUN
ejpam-6379	280	8	+	+	PUNCT
ejpam-6379	280	9	i)(s	i)(s	NOUN
ejpam-6379	280	10	+	+	CCONJ
ejpam-6379	280	11	σv	σv	ADJ
ejpam-6379	280	12	)	)	PUNCT
ejpam-6379	280	13	sn	sn	PROPN
ejpam-6379	281	1	+	+	CCONJ
ejpam-6379	281	2	λ+	λ+	PUNCT
ejpam-6379	281	3	3µ+	3µ+	NUM
ejpam-6379	281	4	α+	α+	DET
ejpam-6379	281	5	γ3	γ3	NOUN
ejpam-6379	281	6	+	+	CCONJ
ejpam-6379	281	7	ρ	ρ	PROPN
ejpam-6379	281	8	−µ(s	−µ(s	X
ejpam-6379	281	9	+	+	CCONJ
ejpam-6379	281	10	e	e	X
ejpam-6379	282	1	+	+	CCONJ
ejpam-6379	282	2	i	i	PRON
ejpam-6379	282	3	+	+	NOUN
ejpam-6379	282	4	h	h	NOUN
ejpam-6379	282	5	+	+	X
ejpam-6379	282	6	v	v	X
ejpam-6379	282	7	+	+	NOUN
ejpam-6379	282	8	r)−	r)−	PROPN
ejpam-6379	282	9	σv	σv	INTJ
ejpam-6379	282	10	−	−	PROPN
ejpam-6379	283	1	λ	λ	PROPN
ejpam-6379	283	2	s	s	PART
ejpam-6379	283	3	−	−	X
ejpam-6379	283	4	ρ(v	ρ(v	PROPN
ejpam-6379	283	5	+	+	PROPN
ejpam-6379	283	6	r	r	NOUN
ejpam-6379	283	7	)	)	PUNCT
ejpam-6379	283	8	s	s	PART
ejpam-6379	283	9	−	−	NOUN
ejpam-6379	283	10	ϵi	ϵi	NOUN
ejpam-6379	283	11	h	h	NOUN
ejpam-6379	283	12	−γ1e	−γ1e	VERB
ejpam-6379	283	13	r	r	NOUN
ejpam-6379	283	14	−	−	NOUN
ejpam-6379	283	15	γ2i	γ2i	NOUN
ejpam-6379	283	16	r	r	NOUN
ejpam-6379	283	17	−	−	NOUN
ejpam-6379	283	18	γ3h	γ3h	NOUN
ejpam-6379	283	19	r	r	NOUN
ejpam-6379	283	20	+	+	NOUN
ejpam-6379	283	21	δ21	δ21	NOUN
ejpam-6379	283	22	+	+	NUM
ejpam-6379	283	23	δ24	δ24	NOUN
ejpam-6379	283	24	+	+	CCONJ
ejpam-6379	283	25	δ26	δ26	X
ejpam-6379	283	26	2	2	NUM
ejpam-6379	283	27	(	(	PUNCT
ejpam-6379	283	28	16	16	NUM
ejpam-6379	283	29	)	)	PUNCT
ejpam-6379	284	1	where	where	SCONJ
ejpam-6379	284	2	w6	w6	PROPN
ejpam-6379	284	3	=	=	SYM
ejpam-6379	284	4	5λ(r∗	5λ(r∗	NOUN
ejpam-6379	284	5	0	0	NUM
ejpam-6379	284	6	1	1	NUM
ejpam-6379	284	7	5	5	NUM
ejpam-6379	284	8	−	−	NOUN
ejpam-6379	284	9	1	1	NUM
ejpam-6379	284	10	)	)	PUNCT
ejpam-6379	284	11	>	>	X
ejpam-6379	284	12	0	0	PUNCT
ejpam-6379	284	13	we	we	PRON
ejpam-6379	284	14	next	next	ADV
ejpam-6379	284	15	define	define	VERB
ejpam-6379	284	16	the	the	DET
ejpam-6379	284	17	bounded	bounded	ADJ
ejpam-6379	284	18	closed	close	VERB
ejpam-6379	284	19	set	set	ADJ
ejpam-6379	284	20	d	d	NOUN
ejpam-6379	284	21	=	=	X
ejpam-6379	284	22	{	{	PUNCT
ejpam-6379	284	23	ε1	ε1	VERB
ejpam-6379	284	24	<	<	X
ejpam-6379	284	25	s	s	X
ejpam-6379	284	26	<	<	X
ejpam-6379	284	27	1	1	NUM
ejpam-6379	284	28	ε1	ε1	PROPN
ejpam-6379	284	29	,	,	PUNCT
ejpam-6379	284	30	ε2	ε2	ADJ
ejpam-6379	284	31	<	<	X
ejpam-6379	284	32	e	e	X
ejpam-6379	284	33	<	<	X
ejpam-6379	284	34	1	1	NUM
ejpam-6379	284	35	ε2	ε2	ADJ
ejpam-6379	284	36	,	,	PUNCT
ejpam-6379	284	37	ε3	ε3	VERB
ejpam-6379	284	38	<	<	X
ejpam-6379	284	39	i	i	PROPN
ejpam-6379	284	40	<	<	X
ejpam-6379	284	41	1	1	NUM
ejpam-6379	284	42	ε3	ε3	PROPN
ejpam-6379	284	43	,	,	PUNCT
ejpam-6379	284	44	ε4	ε4	NOUN
ejpam-6379	284	45	<	<	X
ejpam-6379	284	46	h	h	X
ejpam-6379	284	47	<	<	X
ejpam-6379	284	48	1	1	NUM
ejpam-6379	284	49	ε4	ε4	NOUN
ejpam-6379	284	50	,	,	PUNCT
ejpam-6379	284	51	ε5	ε5	VERB
ejpam-6379	284	52	<	<	X
ejpam-6379	284	53	v	v	X
ejpam-6379	284	54	<	<	X
ejpam-6379	284	55	1	1	NUM
ejpam-6379	284	56	ε5	ε5	PROPN
ejpam-6379	284	57	,	,	PUNCT
ejpam-6379	284	58	ε6	ε6	VERB
ejpam-6379	284	59	<	<	X
ejpam-6379	284	60	r	r	NOUN
ejpam-6379	284	61	<	<	X
ejpam-6379	284	62	1	1	NUM
ejpam-6379	284	63	ε6	ε6	NOUN
ejpam-6379	284	64	}	}	PUNCT
ejpam-6379	284	65	where	where	SCONJ
ejpam-6379	284	66	εi	εi	VERB
ejpam-6379	284	67	>	>	X
ejpam-6379	284	68	0	0	NUM
ejpam-6379	284	69	,	,	PUNCT
ejpam-6379	284	70	(	(	PUNCT
ejpam-6379	284	71	i	i	NOUN
ejpam-6379	284	72	=	=	NOUN
ejpam-6379	284	73	1	1	NUM
ejpam-6379	284	74	,	,	PUNCT
ejpam-6379	284	75	2	2	NUM
ejpam-6379	284	76	,	,	PUNCT
ejpam-6379	284	77	3	3	NUM
ejpam-6379	284	78	,	,	PUNCT
ejpam-6379	284	79	4	4	NUM
ejpam-6379	284	80	,	,	PUNCT
ejpam-6379	284	81	5	5	NUM
ejpam-6379	284	82	,	,	PUNCT
ejpam-6379	284	83	6	6	NUM
ejpam-6379	284	84	)	)	PUNCT
ejpam-6379	284	85	,	,	PUNCT
ejpam-6379	284	86	we	we	PRON
ejpam-6379	284	87	divide	divide	VERB
ejpam-6379	284	88	the	the	DET
ejpam-6379	284	89	whole	whole	ADJ
ejpam-6379	284	90	r6	r6	NOUN
ejpam-6379	284	91	+	+	NOUN
ejpam-6379	284	92	\d	\d	NOUN
ejpam-6379	284	93	into	into	ADP
ejpam-6379	284	94	the	the	DET
ejpam-6379	284	95	following	follow	VERB
ejpam-6379	284	96	domains	domain	NOUN
ejpam-6379	284	97	d1	d1	NOUN
ejpam-6379	284	98	=	=	PUNCT
ejpam-6379	284	99	{	{	PUNCT
ejpam-6379	284	100	(	(	PUNCT
ejpam-6379	284	101	s	s	X
ejpam-6379	284	102	,	,	PUNCT
ejpam-6379	284	103	e	e	NOUN
ejpam-6379	284	104	,	,	PUNCT
ejpam-6379	284	105	i	i	PRON
ejpam-6379	284	106	,	,	PUNCT
ejpam-6379	284	107	h	h	PROPN
ejpam-6379	284	108	,	,	PUNCT
ejpam-6379	284	109	v	v	NOUN
ejpam-6379	284	110	,	,	PUNCT
ejpam-6379	284	111	r	r	NOUN
ejpam-6379	284	112	)	)	PUNCT
ejpam-6379	284	113	∈	∈	NOUN
ejpam-6379	284	114	r6	r6	NOUN
ejpam-6379	285	1	+	+	CCONJ
ejpam-6379	285	2	:	:	SYM
ejpam-6379	285	3	0	0	PUNCT
ejpam-6379	285	4	<	<	X
ejpam-6379	285	5	s	s	PART
ejpam-6379	285	6	≤	≤	NOUN
ejpam-6379	285	7	ε1	ε1	VERB
ejpam-6379	285	8	}	}	PUNCT
ejpam-6379	285	9	d2	d2	PROPN
ejpam-6379	285	10	=	=	SYM
ejpam-6379	285	11	{	{	PUNCT
ejpam-6379	285	12	(	(	PUNCT
ejpam-6379	285	13	s	s	X
ejpam-6379	285	14	,	,	PUNCT
ejpam-6379	285	15	e	e	NOUN
ejpam-6379	285	16	,	,	PUNCT
ejpam-6379	285	17	i	i	PRON
ejpam-6379	285	18	,	,	PUNCT
ejpam-6379	285	19	h	h	PROPN
ejpam-6379	285	20	,	,	PUNCT
ejpam-6379	285	21	v	v	NOUN
ejpam-6379	285	22	,	,	PUNCT
ejpam-6379	285	23	r	r	NOUN
ejpam-6379	285	24	)	)	PUNCT
ejpam-6379	285	25	∈	∈	NOUN
ejpam-6379	285	26	r6	r6	NOUN
ejpam-6379	285	27	+	+	CCONJ
ejpam-6379	285	28	:	:	PUNCT
ejpam-6379	285	29	,	,	PUNCT
ejpam-6379	285	30	s	s	X
ejpam-6379	285	31	≥	≥	NOUN
ejpam-6379	285	32	ε1	ε1	PROPN
ejpam-6379	285	33	,	,	PUNCT
ejpam-6379	285	34	v	v	PRON
ejpam-6379	285	35	≥	≥	NOUN
ejpam-6379	285	36	ε5	ε5	PROPN
ejpam-6379	285	37	,	,	PUNCT
ejpam-6379	285	38	0	0	PUNCT
ejpam-6379	285	39	<	<	X
ejpam-6379	285	40	i	i	PROPN
ejpam-6379	285	41	≤	≤	PROPN
ejpam-6379	285	42	ε3	ε3	PROPN
ejpam-6379	285	43	}	}	PUNCT
ejpam-6379	285	44	d3	d3	PROPN
ejpam-6379	285	45	=	=	SYM
ejpam-6379	285	46	{	{	PUNCT
ejpam-6379	285	47	(	(	PUNCT
ejpam-6379	285	48	s	s	X
ejpam-6379	285	49	,	,	PUNCT
ejpam-6379	285	50	e	e	NOUN
ejpam-6379	285	51	,	,	PUNCT
ejpam-6379	285	52	i	i	PRON
ejpam-6379	285	53	,	,	PUNCT
ejpam-6379	285	54	h	h	PROPN
ejpam-6379	285	55	,	,	PUNCT
ejpam-6379	285	56	v	v	NOUN
ejpam-6379	285	57	,	,	PUNCT
ejpam-6379	285	58	r	r	NOUN
ejpam-6379	285	59	)	)	PUNCT
ejpam-6379	285	60	∈	∈	NOUN
ejpam-6379	285	61	r6	r6	NOUN
ejpam-6379	286	1	+	+	CCONJ
ejpam-6379	286	2	:	:	PUNCT
ejpam-6379	286	3	,	,	PUNCT
ejpam-6379	286	4	s	s	X
ejpam-6379	286	5	≥	≥	NOUN
ejpam-6379	286	6	ε1	ε1	PROPN
ejpam-6379	286	7	,	,	PUNCT
ejpam-6379	286	8	v	v	ADP
ejpam-6379	286	9	<	<	X
ejpam-6379	286	10	ε5	ε5	PROPN
ejpam-6379	286	11	,	,	PUNCT
ejpam-6379	286	12	0	0	PUNCT
ejpam-6379	286	13	<	<	X
ejpam-6379	286	14	i	i	PROPN
ejpam-6379	286	15	≤	≤	PUNCT
ejpam-6379	286	16	ε3	ε3	PROPN
ejpam-6379	286	17	}	}	PUNCT
ejpam-6379	286	18	d4	d4	PROPN
ejpam-6379	286	19	=	=	SYM
ejpam-6379	286	20	{	{	PUNCT
ejpam-6379	286	21	(	(	PUNCT
ejpam-6379	286	22	s	s	X
ejpam-6379	286	23	,	,	PUNCT
ejpam-6379	286	24	e	e	NOUN
ejpam-6379	286	25	,	,	PUNCT
ejpam-6379	286	26	i	i	PRON
ejpam-6379	286	27	,	,	PUNCT
ejpam-6379	286	28	h	h	PROPN
ejpam-6379	286	29	,	,	PUNCT
ejpam-6379	286	30	v	v	NOUN
ejpam-6379	286	31	,	,	PUNCT
ejpam-6379	286	32	r	r	NOUN
ejpam-6379	286	33	)	)	PUNCT
ejpam-6379	286	34	∈	∈	NOUN
ejpam-6379	286	35	r6	r6	NOUN
ejpam-6379	287	1	+	+	CCONJ
ejpam-6379	287	2	:	:	PUNCT
ejpam-6379	287	3	s	s	X
ejpam-6379	287	4	≥	≥	NOUN
ejpam-6379	287	5	ε1	ε1	PROPN
ejpam-6379	287	6	,	,	PUNCT
ejpam-6379	287	7	i	i	PRON
ejpam-6379	287	8	≥	≥	AUX
ejpam-6379	287	9	ε3	ε3	PROPN
ejpam-6379	287	10	,	,	PUNCT
ejpam-6379	287	11	h	h	PROPN
ejpam-6379	287	12	≥	≥	PROPN
ejpam-6379	287	13	ε4	ε4	PROPN
ejpam-6379	287	14	,	,	PUNCT
ejpam-6379	287	15	0	0	PUNCT
ejpam-6379	287	16	<	<	X
ejpam-6379	287	17	e	e	X
ejpam-6379	287	18	<	<	X
ejpam-6379	287	19	ε2	ε2	PROPN
ejpam-6379	287	20	}	}	PUNCT
ejpam-6379	287	21	r.	r.	PROPN
ejpam-6379	287	22	saadeh	saadeh	PROPN
ejpam-6379	288	1	et	et	PROPN
ejpam-6379	288	2	al	al	PROPN
ejpam-6379	288	3	.	.	PUNCT
ejpam-6379	288	4	/	/	SYM
ejpam-6379	288	5	eur	eur	PROPN
ejpam-6379	288	6	.	.	PUNCT
ejpam-6379	289	1	j.	j.	PROPN
ejpam-6379	289	2	pure	pure	PROPN
ejpam-6379	289	3	appl	appl	PROPN
ejpam-6379	289	4	.	.	PROPN
ejpam-6379	289	5	math	math	PROPN
ejpam-6379	289	6	,	,	PUNCT
ejpam-6379	289	7	18	18	NUM
ejpam-6379	289	8	(	(	PUNCT
ejpam-6379	289	9	3	3	NUM
ejpam-6379	289	10	)	)	PUNCT
ejpam-6379	289	11	(	(	PUNCT
ejpam-6379	289	12	2025	2025	NUM
ejpam-6379	289	13	)	)	PUNCT
ejpam-6379	289	14	,	,	PUNCT
ejpam-6379	289	15	6379	6379	NUM
ejpam-6379	289	16	14	14	NUM
ejpam-6379	289	17	of	of	ADP
ejpam-6379	289	18	34	34	NUM
ejpam-6379	289	19	d5	d5	NOUN
ejpam-6379	289	20	=	=	SYM
ejpam-6379	289	21	{	{	PUNCT
ejpam-6379	289	22	(	(	PUNCT
ejpam-6379	289	23	s	s	X
ejpam-6379	289	24	,	,	PUNCT
ejpam-6379	289	25	e	e	NOUN
ejpam-6379	289	26	,	,	PUNCT
ejpam-6379	289	27	i	i	PRON
ejpam-6379	289	28	,	,	PUNCT
ejpam-6379	289	29	h	h	PROPN
ejpam-6379	289	30	,	,	PUNCT
ejpam-6379	289	31	v	v	NOUN
ejpam-6379	289	32	,	,	PUNCT
ejpam-6379	289	33	r	r	NOUN
ejpam-6379	289	34	)	)	PUNCT
ejpam-6379	289	35	∈	∈	NOUN
ejpam-6379	289	36	r6	r6	NOUN
ejpam-6379	289	37	+	+	CCONJ
ejpam-6379	289	38	:	:	SYM
ejpam-6379	289	39	0	0	NUM
ejpam-6379	289	40	<	<	X
ejpam-6379	289	41	r	r	X
ejpam-6379	289	42	<	<	X
ejpam-6379	289	43	ε6	ε6	NOUN
ejpam-6379	289	44	,	,	PUNCT
ejpam-6379	289	45	i	i	PRON
ejpam-6379	289	46	≥	≥	AUX
ejpam-6379	289	47	ε3	ε3	PROPN
ejpam-6379	289	48	,	,	PUNCT
ejpam-6379	289	49	h	h	PROPN
ejpam-6379	289	50	≥	≥	NOUN
ejpam-6379	289	51	ε4	ε4	NOUN
ejpam-6379	289	52	}	}	PUNCT
ejpam-6379	289	53	d6	d6	NOUN
ejpam-6379	289	54	=	=	SYM
ejpam-6379	289	55	{	{	PUNCT
ejpam-6379	289	56	(	(	PUNCT
ejpam-6379	289	57	s	s	X
ejpam-6379	289	58	,	,	PUNCT
ejpam-6379	289	59	e	e	NOUN
ejpam-6379	289	60	,	,	PUNCT
ejpam-6379	289	61	i	i	PRON
ejpam-6379	289	62	,	,	PUNCT
ejpam-6379	289	63	h	h	PROPN
ejpam-6379	289	64	,	,	PUNCT
ejpam-6379	289	65	v	v	NOUN
ejpam-6379	289	66	,	,	PUNCT
ejpam-6379	289	67	r	r	NOUN
ejpam-6379	289	68	)	)	PUNCT
ejpam-6379	289	69	∈	∈	NOUN
ejpam-6379	289	70	r6	r6	NOUN
ejpam-6379	289	71	+	+	CCONJ
ejpam-6379	289	72	:	:	SYM
ejpam-6379	289	73	0	0	NUM
ejpam-6379	289	74	<	<	X
ejpam-6379	289	75	r	r	X
ejpam-6379	289	76	<	<	X
ejpam-6379	289	77	ε6	ε6	NOUN
ejpam-6379	289	78	,	,	PUNCT
ejpam-6379	289	79	i	i	PRON
ejpam-6379	289	80	≥	≥	AUX
ejpam-6379	289	81	ε3	ε3	PROPN
ejpam-6379	289	82	,	,	PUNCT
ejpam-6379	289	83	h	h	NOUN
ejpam-6379	289	84	<	<	X
ejpam-6379	289	85	ε4	ε4	PROPN
ejpam-6379	289	86	}	}	PUNCT
ejpam-6379	289	87	d7	d7	PROPN
ejpam-6379	289	88	=	=	PUNCT
ejpam-6379	289	89	{	{	PUNCT
ejpam-6379	289	90	(	(	PUNCT
ejpam-6379	289	91	s	s	X
ejpam-6379	289	92	,	,	PUNCT
ejpam-6379	289	93	e	e	NOUN
ejpam-6379	289	94	,	,	PUNCT
ejpam-6379	289	95	i	i	PRON
ejpam-6379	289	96	,	,	PUNCT
ejpam-6379	289	97	h	h	PROPN
ejpam-6379	289	98	,	,	PUNCT
ejpam-6379	289	99	v	v	NOUN
ejpam-6379	289	100	,	,	PUNCT
ejpam-6379	289	101	r	r	NOUN
ejpam-6379	289	102	)	)	PUNCT
ejpam-6379	289	103	∈	∈	NOUN
ejpam-6379	289	104	r6	r6	NOUN
ejpam-6379	290	1	+	+	CCONJ
ejpam-6379	290	2	:	:	PUNCT
ejpam-6379	290	3	s	s	X
ejpam-6379	290	4	≥	≥	NOUN
ejpam-6379	290	5	1	1	NUM
ejpam-6379	290	6	ε1	ε1	PROPN
ejpam-6379	290	7	}	}	PUNCT
ejpam-6379	290	8	d8	d8	PROPN
ejpam-6379	290	9	=	=	SYM
ejpam-6379	290	10	{	{	PUNCT
ejpam-6379	290	11	(	(	PUNCT
ejpam-6379	290	12	s	s	X
ejpam-6379	290	13	,	,	PUNCT
ejpam-6379	290	14	e	e	NOUN
ejpam-6379	290	15	,	,	PUNCT
ejpam-6379	290	16	i	i	PRON
ejpam-6379	290	17	,	,	PUNCT
ejpam-6379	290	18	h	h	PROPN
ejpam-6379	290	19	,	,	PUNCT
ejpam-6379	290	20	v	v	NOUN
ejpam-6379	290	21	,	,	PUNCT
ejpam-6379	290	22	r	r	NOUN
ejpam-6379	290	23	)	)	PUNCT
ejpam-6379	290	24	∈	∈	NOUN
ejpam-6379	290	25	r6	r6	NOUN
ejpam-6379	291	1	+	+	CCONJ
ejpam-6379	291	2	:	:	PUNCT
ejpam-6379	291	3	e	e	X
ejpam-6379	291	4	≥	≥	NOUN
ejpam-6379	291	5	1	1	NUM
ejpam-6379	291	6	ε2	ε2	ADJ
ejpam-6379	291	7	}	}	PUNCT
ejpam-6379	291	8	d9	d9	PROPN
ejpam-6379	291	9	=	=	PUNCT
ejpam-6379	291	10	{	{	PUNCT
ejpam-6379	291	11	(	(	PUNCT
ejpam-6379	291	12	s	s	X
ejpam-6379	291	13	,	,	PUNCT
ejpam-6379	291	14	e	e	NOUN
ejpam-6379	291	15	,	,	PUNCT
ejpam-6379	291	16	i	i	PRON
ejpam-6379	291	17	,	,	PUNCT
ejpam-6379	291	18	h	h	PROPN
ejpam-6379	291	19	,	,	PUNCT
ejpam-6379	291	20	v	v	NOUN
ejpam-6379	291	21	,	,	PUNCT
ejpam-6379	291	22	r	r	NOUN
ejpam-6379	291	23	)	)	PUNCT
ejpam-6379	291	24	∈	∈	NOUN
ejpam-6379	291	25	r6	r6	NOUN
ejpam-6379	292	1	+	+	CCONJ
ejpam-6379	292	2	:	:	PUNCT
ejpam-6379	292	3	i	i	PRON
ejpam-6379	292	4	≥	≥	VERB
ejpam-6379	292	5	1	1	NUM
ejpam-6379	292	6	ε3	ε3	PROPN
ejpam-6379	292	7	}	}	PUNCT
ejpam-6379	292	8	d10	d10	PROPN
ejpam-6379	292	9	=	=	SYM
ejpam-6379	292	10	{	{	PUNCT
ejpam-6379	292	11	(	(	PUNCT
ejpam-6379	292	12	s	s	X
ejpam-6379	292	13	,	,	PUNCT
ejpam-6379	292	14	e	e	NOUN
ejpam-6379	292	15	,	,	PUNCT
ejpam-6379	292	16	i	i	PRON
ejpam-6379	292	17	,	,	PUNCT
ejpam-6379	292	18	h	h	PROPN
ejpam-6379	292	19	,	,	PUNCT
ejpam-6379	292	20	v	v	NOUN
ejpam-6379	292	21	,	,	PUNCT
ejpam-6379	292	22	r	r	NOUN
ejpam-6379	292	23	)	)	PUNCT
ejpam-6379	292	24	∈	∈	NOUN
ejpam-6379	292	25	r6	r6	NOUN
ejpam-6379	292	26	+	+	X
ejpam-6379	292	27	:	:	PUNCT
ejpam-6379	292	28	c	c	NOUN
ejpam-6379	292	29	≥	≥	NOUN
ejpam-6379	292	30	1	1	NUM
ejpam-6379	292	31	ε4	ε4	PROPN
ejpam-6379	292	32	}	}	PUNCT
ejpam-6379	292	33	d11	d11	PROPN
ejpam-6379	292	34	=	=	SYM
ejpam-6379	292	35	{	{	PUNCT
ejpam-6379	292	36	(	(	PUNCT
ejpam-6379	292	37	s	s	X
ejpam-6379	292	38	,	,	PUNCT
ejpam-6379	292	39	e	e	NOUN
ejpam-6379	292	40	,	,	PUNCT
ejpam-6379	292	41	i	i	PRON
ejpam-6379	292	42	,	,	PUNCT
ejpam-6379	292	43	h	h	PROPN
ejpam-6379	292	44	,	,	PUNCT
ejpam-6379	292	45	v	v	NOUN
ejpam-6379	292	46	,	,	PUNCT
ejpam-6379	292	47	r	r	NOUN
ejpam-6379	292	48	)	)	PUNCT
ejpam-6379	292	49	∈	∈	NOUN
ejpam-6379	292	50	r6	r6	NOUN
ejpam-6379	292	51	+	+	CCONJ
ejpam-6379	292	52	:	:	PUNCT
ejpam-6379	292	53	v	v	NUM
ejpam-6379	292	54	≥	≥	NOUN
ejpam-6379	292	55	1	1	NUM
ejpam-6379	292	56	ε5	ε5	PROPN
ejpam-6379	292	57	}	}	PUNCT
ejpam-6379	292	58	d12	d12	NOUN
ejpam-6379	292	59	=	=	SYM
ejpam-6379	292	60	{	{	PUNCT
ejpam-6379	292	61	(	(	PUNCT
ejpam-6379	292	62	s	s	X
ejpam-6379	292	63	,	,	PUNCT
ejpam-6379	292	64	e	e	NOUN
ejpam-6379	292	65	,	,	PUNCT
ejpam-6379	292	66	i	i	PRON
ejpam-6379	292	67	,	,	PUNCT
ejpam-6379	292	68	h	h	PROPN
ejpam-6379	292	69	,	,	PUNCT
ejpam-6379	292	70	v	v	NOUN
ejpam-6379	292	71	,	,	PUNCT
ejpam-6379	292	72	r	r	NOUN
ejpam-6379	292	73	)	)	PUNCT
ejpam-6379	292	74	∈	∈	NOUN
ejpam-6379	292	75	r6	r6	NOUN
ejpam-6379	293	1	+	+	CCONJ
ejpam-6379	293	2	:	:	PUNCT
ejpam-6379	293	3	r	r	NOUN
ejpam-6379	293	4	≥	≥	NOUN
ejpam-6379	293	5	1	1	NUM
ejpam-6379	293	6	ε6	ε6	NOUN
ejpam-6379	293	7	}	}	PUNCT
ejpam-6379	293	8	where	where	SCONJ
ejpam-6379	293	9	εi	εi	VERB
ejpam-6379	293	10	>	>	X
ejpam-6379	293	11	0	0	NUM
ejpam-6379	293	12	,	,	PUNCT
ejpam-6379	293	13	is	be	AUX
ejpam-6379	293	14	small	small	ADJ
ejpam-6379	293	15	enough	enough	ADV
ejpam-6379	293	16	.	.	PUNCT
ejpam-6379	294	1	in	in	ADP
ejpam-6379	294	2	the	the	DET
ejpam-6379	294	3	set	set	NOUN
ejpam-6379	294	4	r6	r6	PROPN
ejpam-6379	294	5	+	+	PROPN
ejpam-6379	294	6	\d	\d	NOUN
ejpam-6379	294	7	,	,	PUNCT
ejpam-6379	294	8	we	we	PRON
ejpam-6379	294	9	can	can	AUX
ejpam-6379	294	10	choose	choose	VERB
ejpam-6379	294	11	εi	εi	VERB
ejpam-6379	294	12	>	>	X
ejpam-6379	294	13	0	0	PUNCT
ejpam-6379	294	14	sufficiently	sufficiently	ADV
ejpam-6379	294	15	small	small	ADJ
ejpam-6379	294	16	and	and	CCONJ
ejpam-6379	294	17	satisfying	satisfying	ADJ
ejpam-6379	294	18	−	−	PROPN
ejpam-6379	294	19	λ	λ	NOUN
ejpam-6379	294	20	ε1	ε1	PROPN
ejpam-6379	294	21	+	+	CCONJ
ejpam-6379	294	22	c1	c1	PROPN
ejpam-6379	294	23	≤	≤	PROPN
ejpam-6379	294	24	−j	−j	NOUN
ejpam-6379	294	25	(	(	PUNCT
ejpam-6379	294	26	17	17	NUM
ejpam-6379	294	27	)	)	PUNCT
ejpam-6379	294	28	−w5w6	−w5w6	NOUN
ejpam-6379	295	1	+	+	PUNCT
ejpam-6379	295	2	(	(	PUNCT
ejpam-6379	295	3	w5w1	w5w1	X
ejpam-6379	295	4	+	+	NOUN
ejpam-6379	295	5	1	1	NUM
ejpam-6379	295	6	)	)	PUNCT
ejpam-6379	295	7	βε3	βε3	PUNCT
ejpam-6379	296	1	n	n	PROPN
ejpam-6379	296	2	+	+	CCONJ
ejpam-6379	296	3	c2	c2	PROPN
ejpam-6379	296	4	≤	≤	PROPN
ejpam-6379	296	5	−j	−j	NOUN
ejpam-6379	296	6	(	(	PUNCT
ejpam-6379	296	7	18	18	NUM
ejpam-6379	296	8	)	)	PUNCT
ejpam-6379	296	9	−w5w6	−w5w6	NOUN
ejpam-6379	297	1	+	+	PUNCT
ejpam-6379	297	2	(	(	PUNCT
ejpam-6379	297	3	w5w1	w5w1	X
ejpam-6379	297	4	+	+	NOUN
ejpam-6379	297	5	1	1	NUM
ejpam-6379	297	6	)	)	PUNCT
ejpam-6379	297	7	βε3	βε3	NOUN
ejpam-6379	298	1	n	n	PROPN
ejpam-6379	298	2	+	+	CCONJ
ejpam-6379	298	3	(	(	PUNCT
ejpam-6379	298	4	w5w1	w5w1	X
ejpam-6379	298	5	+	+	CCONJ
ejpam-6379	298	6	1	1	NUM
ejpam-6379	298	7	)	)	PUNCT
ejpam-6379	298	8	βε3σε1	βε3σε1	PUNCT
ejpam-6379	298	9	n	n	PROPN
ejpam-6379	298	10	+	+	CCONJ
ejpam-6379	298	11	c3	c3	X
ejpam-6379	298	12	≤	≤	ADJ
ejpam-6379	298	13	−j	−j	NOUN
ejpam-6379	298	14	(	(	PUNCT
ejpam-6379	298	15	19	19	NUM
ejpam-6379	298	16	)	)	PUNCT
ejpam-6379	298	17	(	(	PUNCT
ejpam-6379	298	18	w5w1	w5w1	X
ejpam-6379	298	19	+	+	CCONJ
ejpam-6379	298	20	1	1	X
ejpam-6379	298	21	)	)	PUNCT
ejpam-6379	298	22	βε2	βε2	NOUN
ejpam-6379	298	23	n	n	NOUN
ejpam-6379	298	24	+	+	CCONJ
ejpam-6379	298	25	c4	c4	NOUN
ejpam-6379	298	26	≤	≤	NUM
ejpam-6379	298	27	−j	−j	NOUN
ejpam-6379	298	28	(	(	PUNCT
ejpam-6379	298	29	20	20	NUM
ejpam-6379	298	30	)	)	PUNCT
ejpam-6379	298	31	−γ2ε6	−γ2ε6	NOUN
ejpam-6379	298	32	−	−	PROPN
ejpam-6379	299	1	γ3ε6	γ3ε6	PROPN
ejpam-6379	300	1	+	+	CCONJ
ejpam-6379	300	2	c5	c5	PROPN
ejpam-6379	300	3	≤	≤	PROPN
ejpam-6379	300	4	−j	−j	NOUN
ejpam-6379	300	5	(	(	PUNCT
ejpam-6379	300	6	21	21	NUM
ejpam-6379	300	7	)	)	PUNCT
ejpam-6379	300	8	−γ2ε4	−γ2ε4	PROPN
ejpam-6379	300	9	−	−	PROPN
ejpam-6379	300	10	ϵε6	ϵε6	NOUN
ejpam-6379	300	11	+	+	CCONJ
ejpam-6379	300	12	c6	c6	PROPN
ejpam-6379	300	13	≤	≤	NUM
ejpam-6379	300	14	−j	−j	NOUN
ejpam-6379	300	15	(	(	PUNCT
ejpam-6379	300	16	22	22	NUM
ejpam-6379	300	17	)	)	PUNCT
ejpam-6379	300	18	−	−	PROPN
ejpam-6379	300	19	µ	µ	PRON
ejpam-6379	300	20	ε1	ε1	PROPN
ejpam-6379	300	21	+	+	CCONJ
ejpam-6379	300	22	c7	c7	PROPN
ejpam-6379	300	23	≤	≤	PROPN
ejpam-6379	300	24	−j	−j	NOUN
ejpam-6379	300	25	(	(	PUNCT
ejpam-6379	300	26	23	23	NUM
ejpam-6379	300	27	)	)	PUNCT
ejpam-6379	300	28	−	−	PROPN
ejpam-6379	300	29	µ	µ	PROPN
ejpam-6379	300	30	ε2	ε2	NOUN
ejpam-6379	300	31	+	+	CCONJ
ejpam-6379	300	32	c8	c8	PROPN
ejpam-6379	300	33	≤	≤	PROPN
ejpam-6379	300	34	−j	−j	NOUN
ejpam-6379	300	35	(	(	PUNCT
ejpam-6379	300	36	24	24	NUM
ejpam-6379	300	37	)	)	PUNCT
ejpam-6379	300	38	−	−	PROPN
ejpam-6379	300	39	µ	µ	X
ejpam-6379	300	40	ε3	ε3	ADJ
ejpam-6379	300	41	+	+	CCONJ
ejpam-6379	300	42	c9	c9	NOUN
ejpam-6379	300	43	≤	≤	ADJ
ejpam-6379	300	44	−j	−j	NOUN
ejpam-6379	300	45	(	(	PUNCT
ejpam-6379	300	46	25	25	NUM
ejpam-6379	300	47	)	)	PUNCT
ejpam-6379	300	48	−	−	PROPN
ejpam-6379	300	49	µ	µ	PROPN
ejpam-6379	300	50	ε4	ε4	NOUN
ejpam-6379	300	51	+	+	CCONJ
ejpam-6379	300	52	c10	c10	VERB
ejpam-6379	300	53	≤	≤	PROPN
ejpam-6379	300	54	−j	−j	NOUN
ejpam-6379	300	55	(	(	PUNCT
ejpam-6379	300	56	26	26	NUM
ejpam-6379	300	57	)	)	PUNCT
ejpam-6379	300	58	−(µ+	−(µ+	PROPN
ejpam-6379	300	59	σ	σ	PROPN
ejpam-6379	300	60	)	)	PUNCT
ejpam-6379	300	61	ε5	ε5	PROPN
ejpam-6379	300	62	+	+	CCONJ
ejpam-6379	300	63	c11	c11	ADJ
ejpam-6379	300	64	≤	≤	NUM
ejpam-6379	300	65	−j	−j	NOUN
ejpam-6379	300	66	(	(	PUNCT
ejpam-6379	300	67	27	27	NUM
ejpam-6379	300	68	)	)	PUNCT
ejpam-6379	300	69	−	−	PROPN
ejpam-6379	300	70	µ	µ	PRON
ejpam-6379	300	71	ε6	ε6	NOUN
ejpam-6379	300	72	+	+	CCONJ
ejpam-6379	300	73	c12	c12	NOUN
ejpam-6379	300	74	≤	≤	NUM
ejpam-6379	300	75	−j	−j	NOUN
ejpam-6379	300	76	(	(	PUNCT
ejpam-6379	300	77	28	28	NUM
ejpam-6379	300	78	)	)	PUNCT
ejpam-6379	300	79	next	next	ADV
ejpam-6379	300	80	,	,	PUNCT
ejpam-6379	300	81	we	we	PRON
ejpam-6379	300	82	will	will	AUX
ejpam-6379	300	83	show	show	VERB
ejpam-6379	300	84	that	that	SCONJ
ejpam-6379	300	85	lv(s	lv(s	PROPN
ejpam-6379	300	86	,	,	PUNCT
ejpam-6379	300	87	e	e	NOUN
ejpam-6379	300	88	,	,	PUNCT
ejpam-6379	300	89	i	i	PRON
ejpam-6379	300	90	,	,	PUNCT
ejpam-6379	300	91	h	h	PROPN
ejpam-6379	300	92	,	,	PUNCT
ejpam-6379	300	93	v	v	NOUN
ejpam-6379	300	94	,	,	PUNCT
ejpam-6379	300	95	r	r	NOUN
ejpam-6379	300	96	)	)	PUNCT
ejpam-6379	300	97	≤	≤	NOUN
ejpam-6379	300	98	−j	−j	NOUN
ejpam-6379	300	99	on	on	ADP
ejpam-6379	300	100	r6	r6	PROPN
ejpam-6379	300	101	+	+	PROPN
ejpam-6379	300	102	\d	\d	NOUN
ejpam-6379	300	103	,	,	PUNCT
ejpam-6379	300	104	which	which	PRON
ejpam-6379	300	105	is	be	AUX
ejpam-6379	300	106	equivalent	equivalent	ADJ
ejpam-6379	300	107	to	to	ADP
ejpam-6379	300	108	proving	prove	VERB
ejpam-6379	300	109	it	it	PRON
ejpam-6379	300	110	on	on	ADP
ejpam-6379	300	111	the	the	DET
ejpam-6379	300	112	above	above	ADJ
ejpam-6379	300	113	twelfth	twelfth	ADJ
ejpam-6379	300	114	domains	domain	NOUN
ejpam-6379	300	115	.	.	PUNCT
ejpam-6379	301	1	r.	r.	PROPN
ejpam-6379	301	2	saadeh	saadeh	PROPN
ejpam-6379	301	3	et	et	PROPN
ejpam-6379	301	4	al	al	PROPN
ejpam-6379	301	5	.	.	PUNCT
ejpam-6379	301	6	/	/	SYM
ejpam-6379	301	7	eur	eur	PROPN
ejpam-6379	301	8	.	.	PUNCT
ejpam-6379	302	1	j.	j.	PROPN
ejpam-6379	302	2	pure	pure	PROPN
ejpam-6379	302	3	appl	appl	PROPN
ejpam-6379	302	4	.	.	PROPN
ejpam-6379	302	5	math	math	PROPN
ejpam-6379	302	6	,	,	PUNCT
ejpam-6379	302	7	18	18	NUM
ejpam-6379	302	8	(	(	PUNCT
ejpam-6379	302	9	3	3	NUM
ejpam-6379	302	10	)	)	PUNCT
ejpam-6379	302	11	(	(	PUNCT
ejpam-6379	302	12	2025	2025	NUM
ejpam-6379	302	13	)	)	PUNCT
ejpam-6379	302	14	,	,	PUNCT
ejpam-6379	302	15	6379	6379	NUM
ejpam-6379	302	16	15	15	NUM
ejpam-6379	302	17	of	of	ADP
ejpam-6379	302	18	34	34	NUM
ejpam-6379	302	19	case	case	NOUN
ejpam-6379	302	20	1	1	NUM
ejpam-6379	302	21	.	.	PUNCT
ejpam-6379	303	1	if	if	SCONJ
ejpam-6379	303	2	(	(	PUNCT
ejpam-6379	303	3	s	s	X
ejpam-6379	303	4	,	,	PUNCT
ejpam-6379	303	5	e	e	NOUN
ejpam-6379	303	6	,	,	PUNCT
ejpam-6379	303	7	i	i	PRON
ejpam-6379	303	8	,	,	PUNCT
ejpam-6379	303	9	h	h	PROPN
ejpam-6379	303	10	,	,	PUNCT
ejpam-6379	303	11	v	v	NOUN
ejpam-6379	303	12	,	,	PUNCT
ejpam-6379	303	13	r	r	NOUN
ejpam-6379	303	14	)	)	PUNCT
ejpam-6379	303	15	∈	∈	NOUN
ejpam-6379	303	16	d1	d1	NOUN
ejpam-6379	303	17	,	,	PUNCT
ejpam-6379	303	18	then	then	ADV
ejpam-6379	303	19	by	by	ADP
ejpam-6379	303	20	equation	equation	NOUN
ejpam-6379	303	21	(	(	PUNCT
ejpam-6379	303	22	16	16	NUM
ejpam-6379	303	23	)	)	PUNCT
ejpam-6379	303	24	we	we	PRON
ejpam-6379	303	25	get	get	VERB
ejpam-6379	303	26	lv	lv	PRON
ejpam-6379	303	27	≤	≤	PROPN
ejpam-6379	303	28	−w5w6	−w5w6	PROPN
ejpam-6379	304	1	+	+	PUNCT
ejpam-6379	304	2	(	(	PUNCT
ejpam-6379	304	3	w5w1	w5w1	X
ejpam-6379	304	4	+	+	CCONJ
ejpam-6379	304	5	1	1	NUM
ejpam-6379	304	6	)	)	PUNCT
ejpam-6379	304	7	β(e	β(e	NOUN
ejpam-6379	304	8	+	+	PUNCT
ejpam-6379	304	9	i)(s	i)(s	NOUN
ejpam-6379	304	10	+	+	CCONJ
ejpam-6379	304	11	σv	σv	ADJ
ejpam-6379	304	12	)	)	PUNCT
ejpam-6379	304	13	sn	sn	PROPN
ejpam-6379	305	1	+	+	CCONJ
ejpam-6379	305	2	λ+	λ+	PUNCT
ejpam-6379	305	3	3µ+	3µ+	NUM
ejpam-6379	305	4	α+	α+	DET
ejpam-6379	305	5	γ3	γ3	NOUN
ejpam-6379	305	6	+	+	CCONJ
ejpam-6379	305	7	ρ	ρ	PROPN
ejpam-6379	305	8	−µ(s	−µ(s	X
ejpam-6379	305	9	+	+	CCONJ
ejpam-6379	305	10	e	e	X
ejpam-6379	306	1	+	+	CCONJ
ejpam-6379	306	2	i	i	PRON
ejpam-6379	306	3	+	+	NOUN
ejpam-6379	306	4	h	h	NOUN
ejpam-6379	306	5	+	+	X
ejpam-6379	306	6	v	v	X
ejpam-6379	306	7	+	+	NOUN
ejpam-6379	306	8	r)−	r)−	PROPN
ejpam-6379	306	9	σv	σv	INTJ
ejpam-6379	306	10	−	−	PROPN
ejpam-6379	307	1	λ	λ	PROPN
ejpam-6379	307	2	s	s	PART
ejpam-6379	307	3	−	−	X
ejpam-6379	307	4	ρ(v	ρ(v	PROPN
ejpam-6379	307	5	+	+	PROPN
ejpam-6379	307	6	r	r	NOUN
ejpam-6379	307	7	)	)	PUNCT
ejpam-6379	307	8	s	s	PART
ejpam-6379	307	9	−	−	NOUN
ejpam-6379	307	10	ϵi	ϵi	NOUN
ejpam-6379	307	11	h	h	NOUN
ejpam-6379	307	12	−γ1e	−γ1e	VERB
ejpam-6379	307	13	r	r	NOUN
ejpam-6379	307	14	−	−	NOUN
ejpam-6379	307	15	γ2i	γ2i	NOUN
ejpam-6379	307	16	r	r	NOUN
ejpam-6379	307	17	−	−	NOUN
ejpam-6379	307	18	γ3h	γ3h	NOUN
ejpam-6379	307	19	r	r	NOUN
ejpam-6379	307	20	+	+	NOUN
ejpam-6379	307	21	δ21	δ21	NOUN
ejpam-6379	307	22	+	+	NUM
ejpam-6379	307	23	δ24	δ24	NOUN
ejpam-6379	307	24	+	+	CCONJ
ejpam-6379	307	25	δ26	δ26	VERB
ejpam-6379	307	26	2	2	NUM
ejpam-6379	307	27	≤	≤	NUM
ejpam-6379	307	28	−λ	−λ	PROPN
ejpam-6379	307	29	s	s	PART
ejpam-6379	307	30	+	+	CCONJ
ejpam-6379	307	31	c1	c1	PROPN
ejpam-6379	307	32	≤	≤	PROPN
ejpam-6379	308	1	−	−	PROPN
ejpam-6379	309	1	λ	λ	PROPN
ejpam-6379	309	2	ε1	ε1	VERB
ejpam-6379	309	3	+	+	CCONJ
ejpam-6379	309	4	c1	c1	PROPN
ejpam-6379	309	5	where	where	SCONJ
ejpam-6379	309	6	c1	c1	NOUN
ejpam-6379	309	7	=	=	PROPN
ejpam-6379	309	8	sup	sup	PROPN
ejpam-6379	309	9	(	(	PUNCT
ejpam-6379	309	10	s	s	X
ejpam-6379	309	11	,	,	PUNCT
ejpam-6379	309	12	e	e	NOUN
ejpam-6379	309	13	,	,	PUNCT
ejpam-6379	309	14	i	i	PRON
ejpam-6379	309	15	,	,	PUNCT
ejpam-6379	309	16	h	h	NOUN
ejpam-6379	309	17	,	,	PUNCT
ejpam-6379	309	18	v	v	NOUN
ejpam-6379	309	19	,	,	PUNCT
ejpam-6379	309	20	r)∈r6	r)∈r6	ADV
ejpam-6379	309	21	+	+	CCONJ
ejpam-6379	309	22	{	{	PUNCT
ejpam-6379	309	23	−w5w6	−w5w6	NOUN
ejpam-6379	309	24	+	+	CCONJ
ejpam-6379	309	25	(	(	PUNCT
ejpam-6379	309	26	w5w1	w5w1	X
ejpam-6379	309	27	+	+	CCONJ
ejpam-6379	309	28	1	1	NUM
ejpam-6379	309	29	)	)	PUNCT
ejpam-6379	309	30	β(e	β(e	NOUN
ejpam-6379	310	1	+	+	PUNCT
ejpam-6379	310	2	i)(s	i)(s	NOUN
ejpam-6379	310	3	+	+	CCONJ
ejpam-6379	310	4	σv	σv	ADJ
ejpam-6379	310	5	)	)	PUNCT
ejpam-6379	310	6	sn	sn	PROPN
ejpam-6379	311	1	+	+	CCONJ
ejpam-6379	311	2	λ+	λ+	NUM
ejpam-6379	311	3	3µ	3µ	NUM
ejpam-6379	311	4	+	+	NOUN
ejpam-6379	311	5	α+	α+	X
ejpam-6379	311	6	γ3	γ3	NOUN
ejpam-6379	311	7	+	+	CCONJ
ejpam-6379	311	8	ρ−	ρ−	PROPN
ejpam-6379	311	9	µ(s	µ(s	PUNCT
ejpam-6379	312	1	+	+	PUNCT
ejpam-6379	312	2	e	e	X
ejpam-6379	312	3	+	+	CCONJ
ejpam-6379	312	4	i	i	PRON
ejpam-6379	312	5	+	+	NOUN
ejpam-6379	312	6	h	h	NOUN
ejpam-6379	312	7	+	+	X
ejpam-6379	312	8	v	v	X
ejpam-6379	312	9	+	+	NOUN
ejpam-6379	312	10	r)−	r)−	PROPN
ejpam-6379	312	11	σv	σv	NOUN
ejpam-6379	312	12	−	−	PROPN
ejpam-6379	312	13	ρ(v	ρ(v	PROPN
ejpam-6379	312	14	+	+	PROPN
ejpam-6379	312	15	r	r	NOUN
ejpam-6379	312	16	)	)	PUNCT
ejpam-6379	312	17	s	s	PART
ejpam-6379	312	18	−ϵi	−ϵi	PRON
ejpam-6379	312	19	h	h	NOUN
ejpam-6379	312	20	−	−	NOUN
ejpam-6379	312	21	γ1e	γ1e	ADP
ejpam-6379	313	1	r	r	NOUN
ejpam-6379	313	2	−	−	NOUN
ejpam-6379	313	3	γ2i	γ2i	NOUN
ejpam-6379	313	4	r	r	NOUN
ejpam-6379	313	5	−	−	NOUN
ejpam-6379	313	6	γ3h	γ3h	NOUN
ejpam-6379	313	7	r	r	NOUN
ejpam-6379	313	8	+	+	NOUN
ejpam-6379	313	9	δ21	δ21	NOUN
ejpam-6379	313	10	+	+	NUM
ejpam-6379	313	11	δ24	δ24	NOUN
ejpam-6379	313	12	+	+	CCONJ
ejpam-6379	313	13	δ26	δ26	VERB
ejpam-6379	313	14	2	2	NUM
ejpam-6379	313	15	}	}	PUNCT
ejpam-6379	313	16	according	accord	VERB
ejpam-6379	313	17	to	to	ADP
ejpam-6379	313	18	(	(	PUNCT
ejpam-6379	313	19	17	17	NUM
ejpam-6379	313	20	)	)	PUNCT
ejpam-6379	313	21	,	,	PUNCT
ejpam-6379	313	22	we	we	PRON
ejpam-6379	313	23	have	have	VERB
ejpam-6379	313	24	lv	lv	PROPN
ejpam-6379	313	25	≤	≤	NUM
ejpam-6379	313	26	−j	−j	NOUN
ejpam-6379	313	27	for	for	ADP
ejpam-6379	313	28	any	any	DET
ejpam-6379	313	29	(	(	PUNCT
ejpam-6379	313	30	s	s	X
ejpam-6379	313	31	,	,	PUNCT
ejpam-6379	313	32	e	e	NOUN
ejpam-6379	313	33	,	,	PUNCT
ejpam-6379	313	34	i	i	PRON
ejpam-6379	313	35	,	,	PUNCT
ejpam-6379	313	36	h	h	PROPN
ejpam-6379	313	37	,	,	PUNCT
ejpam-6379	313	38	v	v	NOUN
ejpam-6379	313	39	,	,	PUNCT
ejpam-6379	313	40	r	r	NOUN
ejpam-6379	313	41	)	)	PUNCT
ejpam-6379	313	42	∈	∈	NOUN
ejpam-6379	313	43	d1	d1	NOUN
ejpam-6379	313	44	.	.	PUNCT
ejpam-6379	314	1	case	case	NOUN
ejpam-6379	314	2	2	2	NUM
ejpam-6379	314	3	.	.	PUNCT
ejpam-6379	315	1	if	if	SCONJ
ejpam-6379	315	2	(	(	PUNCT
ejpam-6379	315	3	s	s	X
ejpam-6379	315	4	,	,	PUNCT
ejpam-6379	315	5	e	e	NOUN
ejpam-6379	315	6	,	,	PUNCT
ejpam-6379	315	7	i	i	PRON
ejpam-6379	315	8	,	,	PUNCT
ejpam-6379	315	9	h	h	PROPN
ejpam-6379	315	10	,	,	PUNCT
ejpam-6379	315	11	v	v	NOUN
ejpam-6379	315	12	,	,	PUNCT
ejpam-6379	315	13	r	r	NOUN
ejpam-6379	315	14	)	)	PUNCT
ejpam-6379	315	15	∈	∈	PROPN
ejpam-6379	315	16	d2	d2	NOUN
ejpam-6379	315	17	,	,	PUNCT
ejpam-6379	315	18	then	then	ADV
ejpam-6379	315	19	by	by	ADP
ejpam-6379	315	20	equation	equation	NOUN
ejpam-6379	315	21	(	(	PUNCT
ejpam-6379	315	22	16	16	NUM
ejpam-6379	315	23	)	)	PUNCT
ejpam-6379	315	24	we	we	PRON
ejpam-6379	315	25	get	get	VERB
ejpam-6379	315	26	lv	lv	PRON
ejpam-6379	315	27	≤	≤	PROPN
ejpam-6379	315	28	−w5w6	−w5w6	PROPN
ejpam-6379	316	1	+	+	PUNCT
ejpam-6379	316	2	(	(	PUNCT
ejpam-6379	316	3	w5w1	w5w1	X
ejpam-6379	316	4	+	+	NOUN
ejpam-6379	316	5	1	1	X
ejpam-6379	316	6	)	)	PUNCT
ejpam-6379	316	7	βi	βi	PRON
ejpam-6379	316	8	n	n	PROPN
ejpam-6379	316	9	+	+	CCONJ
ejpam-6379	317	1	c2	c2	PROPN
ejpam-6379	317	2	≤	≤	PROPN
ejpam-6379	317	3	−w5w6	−w5w6	PROPN
ejpam-6379	318	1	+	+	PUNCT
ejpam-6379	318	2	(	(	PUNCT
ejpam-6379	318	3	w5w1	w5w1	X
ejpam-6379	318	4	+	+	NOUN
ejpam-6379	318	5	1	1	NUM
ejpam-6379	318	6	)	)	PUNCT
ejpam-6379	318	7	βε3	βε3	X
ejpam-6379	318	8	n	n	PROPN
ejpam-6379	319	1	+	+	CCONJ
ejpam-6379	319	2	c2	c2	PROPN
ejpam-6379	319	3	where	where	SCONJ
ejpam-6379	319	4	c2	c2	PROPN
ejpam-6379	319	5	=	=	PROPN
ejpam-6379	319	6	sup	sup	PROPN
ejpam-6379	319	7	(	(	PUNCT
ejpam-6379	319	8	s	s	X
ejpam-6379	319	9	,	,	PUNCT
ejpam-6379	319	10	e	e	NOUN
ejpam-6379	319	11	,	,	PUNCT
ejpam-6379	319	12	i	i	PRON
ejpam-6379	319	13	,	,	PUNCT
ejpam-6379	319	14	h	h	NOUN
ejpam-6379	319	15	,	,	PUNCT
ejpam-6379	319	16	v	v	NOUN
ejpam-6379	319	17	,	,	PUNCT
ejpam-6379	319	18	r)∈r6	r)∈r6	ADV
ejpam-6379	319	19	+	+	NUM
ejpam-6379	319	20	{	{	PUNCT
ejpam-6379	319	21	(	(	PUNCT
ejpam-6379	319	22	w5w1	w5w1	X
ejpam-6379	319	23	+	+	NOUN
ejpam-6379	319	24	1	1	NUM
ejpam-6379	319	25	)	)	PUNCT
ejpam-6379	319	26	βe(s	βe(	NOUN
ejpam-6379	320	1	+	+	CCONJ
ejpam-6379	320	2	σv	σv	X
ejpam-6379	320	3	)	)	PUNCT
ejpam-6379	320	4	sn	sn	PROPN
ejpam-6379	321	1	+	+	CCONJ
ejpam-6379	321	2	(	(	PUNCT
ejpam-6379	321	3	w5w1	w5w1	X
ejpam-6379	321	4	+	+	CCONJ
ejpam-6379	321	5	1	1	NUM
ejpam-6379	321	6	)	)	PUNCT
ejpam-6379	321	7	βiσv	βiσv	X
ejpam-6379	321	8	sn	sn	NOUN
ejpam-6379	322	1	+	+	CCONJ
ejpam-6379	322	2	λ	λ	X
ejpam-6379	322	3	+3µ+	+3µ+	X
ejpam-6379	322	4	α+	α+	PUNCT
ejpam-6379	322	5	γ3	γ3	NOUN
ejpam-6379	322	6	+	+	CCONJ
ejpam-6379	322	7	ρ−	ρ−	PROPN
ejpam-6379	322	8	µ(s	µ(s	PUNCT
ejpam-6379	323	1	+	+	PUNCT
ejpam-6379	323	2	e	e	X
ejpam-6379	323	3	+	+	CCONJ
ejpam-6379	323	4	i	i	PRON
ejpam-6379	323	5	+	+	NOUN
ejpam-6379	323	6	h	h	NOUN
ejpam-6379	323	7	+	+	X
ejpam-6379	323	8	v	v	X
ejpam-6379	323	9	+	+	NOUN
ejpam-6379	323	10	r)−	r)−	PROPN
ejpam-6379	324	1	σv	σv	INTJ
ejpam-6379	324	2	−	−	PROPN
ejpam-6379	325	1	λ	λ	PROPN
ejpam-6379	325	2	s	s	PROPN
ejpam-6379	325	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	325	4	+	+	PROPN
ejpam-6379	325	5	r	r	NOUN
ejpam-6379	325	6	)	)	PUNCT
ejpam-6379	325	7	s	s	PART
ejpam-6379	325	8	−	−	NOUN
ejpam-6379	325	9	ϵi	ϵi	NOUN
ejpam-6379	325	10	h	h	NOUN
ejpam-6379	325	11	−	−	NOUN
ejpam-6379	325	12	γ1e	γ1e	ADP
ejpam-6379	326	1	r	r	NOUN
ejpam-6379	326	2	−	−	NOUN
ejpam-6379	326	3	γ2i	γ2i	NOUN
ejpam-6379	326	4	r	r	NOUN
ejpam-6379	326	5	−	−	NOUN
ejpam-6379	326	6	γ3h	γ3h	NOUN
ejpam-6379	326	7	r	r	NOUN
ejpam-6379	326	8	+	+	NOUN
ejpam-6379	326	9	δ21	δ21	NOUN
ejpam-6379	326	10	+	+	NUM
ejpam-6379	326	11	δ24	δ24	NOUN
ejpam-6379	326	12	+	+	CCONJ
ejpam-6379	326	13	δ26	δ26	VERB
ejpam-6379	326	14	2	2	NUM
ejpam-6379	326	15	}	}	PUNCT
ejpam-6379	326	16	according	accord	VERB
ejpam-6379	326	17	to	to	ADP
ejpam-6379	326	18	(	(	PUNCT
ejpam-6379	326	19	18	18	NUM
ejpam-6379	326	20	)	)	PUNCT
ejpam-6379	326	21	,	,	PUNCT
ejpam-6379	326	22	we	we	PRON
ejpam-6379	326	23	have	have	VERB
ejpam-6379	326	24	lv	lv	PROPN
ejpam-6379	326	25	≤	≤	NUM
ejpam-6379	326	26	−j	−j	NOUN
ejpam-6379	326	27	for	for	ADP
ejpam-6379	326	28	any	any	DET
ejpam-6379	326	29	(	(	PUNCT
ejpam-6379	326	30	s	s	X
ejpam-6379	326	31	,	,	PUNCT
ejpam-6379	326	32	e	e	NOUN
ejpam-6379	326	33	,	,	PUNCT
ejpam-6379	326	34	i	i	PRON
ejpam-6379	326	35	,	,	PUNCT
ejpam-6379	326	36	h	h	PROPN
ejpam-6379	326	37	,	,	PUNCT
ejpam-6379	326	38	v	v	NOUN
ejpam-6379	326	39	,	,	PUNCT
ejpam-6379	326	40	r	r	NOUN
ejpam-6379	326	41	)	)	PUNCT
ejpam-6379	326	42	∈	∈	PROPN
ejpam-6379	326	43	d2	d2	PROPN
ejpam-6379	326	44	.	.	PUNCT
ejpam-6379	326	45	case	case	NOUN
ejpam-6379	327	1	3	3	X
ejpam-6379	327	2	.	.	PUNCT
ejpam-6379	328	1	if	if	SCONJ
ejpam-6379	328	2	(	(	PUNCT
ejpam-6379	328	3	s	s	X
ejpam-6379	328	4	,	,	PUNCT
ejpam-6379	328	5	e	e	NOUN
ejpam-6379	328	6	,	,	PUNCT
ejpam-6379	328	7	i	i	PRON
ejpam-6379	328	8	,	,	PUNCT
ejpam-6379	328	9	h	h	PROPN
ejpam-6379	328	10	,	,	PUNCT
ejpam-6379	328	11	v	v	NOUN
ejpam-6379	328	12	,	,	PUNCT
ejpam-6379	328	13	r	r	NOUN
ejpam-6379	328	14	)	)	PUNCT
ejpam-6379	328	15	∈	∈	PROPN
ejpam-6379	328	16	d3	d3	PROPN
ejpam-6379	328	17	,	,	PUNCT
ejpam-6379	328	18	then	then	ADV
ejpam-6379	328	19	lv	lv	PROPN
ejpam-6379	328	20	≤	≤	PROPN
ejpam-6379	329	1	−w5w6	−w5w6	PROPN
ejpam-6379	330	1	+	+	PUNCT
ejpam-6379	330	2	(	(	PUNCT
ejpam-6379	330	3	w5w1	w5w1	X
ejpam-6379	330	4	+	+	NOUN
ejpam-6379	330	5	1	1	X
ejpam-6379	330	6	)	)	PUNCT
ejpam-6379	330	7	βi	βi	PRON
ejpam-6379	330	8	n	n	PROPN
ejpam-6379	330	9	+	+	CCONJ
ejpam-6379	330	10	(	(	PUNCT
ejpam-6379	330	11	w5w1	w5w1	X
ejpam-6379	330	12	+	+	CCONJ
ejpam-6379	330	13	1	1	NUM
ejpam-6379	330	14	)	)	PUNCT
ejpam-6379	330	15	βiσv	βiσv	X
ejpam-6379	330	16	sn	sn	PROPN
ejpam-6379	330	17	+	+	CCONJ
ejpam-6379	330	18	c3	c3	X
ejpam-6379	330	19	≤	≤	PUNCT
ejpam-6379	331	1	−w5w6	−w5w6	PROPN
ejpam-6379	332	1	+	+	PUNCT
ejpam-6379	332	2	(	(	PUNCT
ejpam-6379	332	3	w5w1	w5w1	X
ejpam-6379	332	4	+	+	NOUN
ejpam-6379	332	5	1	1	NUM
ejpam-6379	332	6	)	)	PUNCT
ejpam-6379	332	7	βε3	βε3	NOUN
ejpam-6379	333	1	n	n	PROPN
ejpam-6379	333	2	+	+	CCONJ
ejpam-6379	333	3	(	(	PUNCT
ejpam-6379	333	4	w5w1	w5w1	X
ejpam-6379	333	5	+	+	CCONJ
ejpam-6379	333	6	1	1	NUM
ejpam-6379	333	7	)	)	PUNCT
ejpam-6379	333	8	βε3σε5	βε3σε5	PUNCT
ejpam-6379	333	9	ε1n	ε1n	NOUN
ejpam-6379	333	10	+	+	CCONJ
ejpam-6379	333	11	c3	c3	PROPN
ejpam-6379	333	12	≤	≤	PROPN
ejpam-6379	334	1	−w5w6	−w5w6	PROPN
ejpam-6379	335	1	+	+	PUNCT
ejpam-6379	335	2	(	(	PUNCT
ejpam-6379	335	3	w5w1	w5w1	X
ejpam-6379	335	4	+	+	NOUN
ejpam-6379	335	5	1	1	NUM
ejpam-6379	335	6	)	)	PUNCT
ejpam-6379	335	7	βε3	βε3	NOUN
ejpam-6379	336	1	n	n	PROPN
ejpam-6379	336	2	+	+	CCONJ
ejpam-6379	336	3	(	(	PUNCT
ejpam-6379	336	4	w5w1	w5w1	X
ejpam-6379	336	5	+	+	CCONJ
ejpam-6379	336	6	1	1	NUM
ejpam-6379	336	7	)	)	PUNCT
ejpam-6379	336	8	βε3σε1	βε3σε1	PUNCT
ejpam-6379	337	1	n	n	PROPN
ejpam-6379	337	2	+	+	CCONJ
ejpam-6379	337	3	c3	c3	PROPN
ejpam-6379	337	4	choosing	choose	VERB
ejpam-6379	337	5	ε5	ε5	PROPN
ejpam-6379	337	6	=	=	SYM
ejpam-6379	337	7	ε21	ε21	PROPN
ejpam-6379	337	8	,	,	PUNCT
ejpam-6379	337	9	where	where	SCONJ
ejpam-6379	337	10	c3	c3	PROPN
ejpam-6379	337	11	=	=	SYM
ejpam-6379	337	12	sup	sup	X
ejpam-6379	337	13	(	(	PUNCT
ejpam-6379	337	14	s	s	X
ejpam-6379	337	15	,	,	PUNCT
ejpam-6379	337	16	e	e	NOUN
ejpam-6379	337	17	,	,	PUNCT
ejpam-6379	337	18	i	i	PRON
ejpam-6379	337	19	,	,	PUNCT
ejpam-6379	337	20	h	h	NOUN
ejpam-6379	337	21	,	,	PUNCT
ejpam-6379	337	22	v	v	NOUN
ejpam-6379	337	23	,	,	PUNCT
ejpam-6379	337	24	r)∈r6	r)∈r6	ADV
ejpam-6379	337	25	+	+	NUM
ejpam-6379	337	26	{	{	PUNCT
ejpam-6379	337	27	(	(	PUNCT
ejpam-6379	337	28	w5w1	w5w1	X
ejpam-6379	337	29	+	+	NOUN
ejpam-6379	337	30	1	1	NUM
ejpam-6379	337	31	)	)	PUNCT
ejpam-6379	337	32	βe(s	βe(	NOUN
ejpam-6379	338	1	+	+	CCONJ
ejpam-6379	338	2	σv	σv	X
ejpam-6379	338	3	)	)	PUNCT
ejpam-6379	338	4	sn	sn	PROPN
ejpam-6379	339	1	+	+	CCONJ
ejpam-6379	339	2	λ+	λ+	PUNCT
ejpam-6379	339	3	3µ+	3µ+	NUM
ejpam-6379	339	4	α+	α+	DET
ejpam-6379	339	5	γ3	γ3	NOUN
ejpam-6379	339	6	+	+	CCONJ
ejpam-6379	339	7	ρ	ρ	PROPN
ejpam-6379	339	8	r.	r.	PROPN
ejpam-6379	339	9	saadeh	saadeh	PROPN
ejpam-6379	339	10	et	et	PROPN
ejpam-6379	339	11	al	al	PROPN
ejpam-6379	339	12	.	.	PUNCT
ejpam-6379	339	13	/	/	SYM
ejpam-6379	339	14	eur	eur	PROPN
ejpam-6379	339	15	.	.	PUNCT
ejpam-6379	340	1	j.	j.	PROPN
ejpam-6379	340	2	pure	pure	PROPN
ejpam-6379	340	3	appl	appl	PROPN
ejpam-6379	340	4	.	.	PROPN
ejpam-6379	340	5	math	math	PROPN
ejpam-6379	340	6	,	,	PUNCT
ejpam-6379	340	7	18	18	NUM
ejpam-6379	340	8	(	(	PUNCT
ejpam-6379	340	9	3	3	NUM
ejpam-6379	340	10	)	)	PUNCT
ejpam-6379	340	11	(	(	PUNCT
ejpam-6379	340	12	2025	2025	NUM
ejpam-6379	340	13	)	)	PUNCT
ejpam-6379	340	14	,	,	PUNCT
ejpam-6379	340	15	6379	6379	NUM
ejpam-6379	340	16	16	16	NUM
ejpam-6379	340	17	of	of	ADP
ejpam-6379	340	18	34	34	NUM
ejpam-6379	340	19	−µ(s	−µ(	NOUN
ejpam-6379	340	20	+	+	CCONJ
ejpam-6379	340	21	e	e	X
ejpam-6379	341	1	+	+	CCONJ
ejpam-6379	341	2	i	i	PRON
ejpam-6379	341	3	+	+	NOUN
ejpam-6379	341	4	h	h	NOUN
ejpam-6379	341	5	+	+	X
ejpam-6379	341	6	v	v	X
ejpam-6379	341	7	+	+	NOUN
ejpam-6379	341	8	r)−	r)−	PROPN
ejpam-6379	341	9	σv	σv	INTJ
ejpam-6379	341	10	−	−	PROPN
ejpam-6379	342	1	λ	λ	PROPN
ejpam-6379	342	2	s	s	PART
ejpam-6379	342	3	−	−	X
ejpam-6379	342	4	ρ(v	ρ(v	PROPN
ejpam-6379	342	5	+	+	PROPN
ejpam-6379	342	6	r	r	NOUN
ejpam-6379	342	7	)	)	PUNCT
ejpam-6379	342	8	s	s	AUX
ejpam-6379	342	9	−	−	NOUN
ejpam-6379	342	10	ϵi	ϵi	NOUN
ejpam-6379	342	11	h	h	NOUN
ejpam-6379	342	12	−γ1e	−γ1e	VERB
ejpam-6379	342	13	r	r	NOUN
ejpam-6379	342	14	−	−	NOUN
ejpam-6379	342	15	γ2i	γ2i	NOUN
ejpam-6379	342	16	r	r	NOUN
ejpam-6379	342	17	−	−	NOUN
ejpam-6379	342	18	γ3h	γ3h	NOUN
ejpam-6379	342	19	r	r	NOUN
ejpam-6379	342	20	+	+	NOUN
ejpam-6379	342	21	δ21	δ21	NOUN
ejpam-6379	342	22	+	+	NUM
ejpam-6379	342	23	δ24	δ24	NOUN
ejpam-6379	342	24	+	+	CCONJ
ejpam-6379	342	25	δ26	δ26	VERB
ejpam-6379	342	26	2	2	NUM
ejpam-6379	342	27	}	}	PUNCT
ejpam-6379	342	28	according	accord	VERB
ejpam-6379	342	29	to	to	ADP
ejpam-6379	342	30	(	(	PUNCT
ejpam-6379	342	31	19	19	NUM
ejpam-6379	342	32	)	)	PUNCT
ejpam-6379	342	33	,	,	PUNCT
ejpam-6379	342	34	we	we	PRON
ejpam-6379	342	35	have	have	VERB
ejpam-6379	342	36	lv	lv	PROPN
ejpam-6379	342	37	≤	≤	NUM
ejpam-6379	342	38	−j	−j	NOUN
ejpam-6379	342	39	for	for	ADP
ejpam-6379	342	40	any	any	DET
ejpam-6379	342	41	(	(	PUNCT
ejpam-6379	342	42	s	s	X
ejpam-6379	342	43	,	,	PUNCT
ejpam-6379	342	44	e	e	NOUN
ejpam-6379	342	45	,	,	PUNCT
ejpam-6379	342	46	i	i	PRON
ejpam-6379	342	47	,	,	PUNCT
ejpam-6379	342	48	h	h	PROPN
ejpam-6379	342	49	,	,	PUNCT
ejpam-6379	342	50	v	v	NOUN
ejpam-6379	342	51	,	,	PUNCT
ejpam-6379	342	52	r	r	NOUN
ejpam-6379	342	53	)	)	PUNCT
ejpam-6379	342	54	∈	∈	PROPN
ejpam-6379	342	55	d3	d3	PROPN
ejpam-6379	342	56	.	.	PUNCT
ejpam-6379	343	1	case	case	NOUN
ejpam-6379	343	2	4	4	NUM
ejpam-6379	343	3	.	.	PUNCT
ejpam-6379	344	1	if	if	SCONJ
ejpam-6379	344	2	(	(	PUNCT
ejpam-6379	344	3	s	s	X
ejpam-6379	344	4	,	,	PUNCT
ejpam-6379	344	5	e	e	NOUN
ejpam-6379	344	6	,	,	PUNCT
ejpam-6379	344	7	i	i	PRON
ejpam-6379	344	8	,	,	PUNCT
ejpam-6379	344	9	h	h	PROPN
ejpam-6379	344	10	,	,	PUNCT
ejpam-6379	344	11	v	v	NOUN
ejpam-6379	344	12	,	,	PUNCT
ejpam-6379	344	13	r	r	NOUN
ejpam-6379	344	14	)	)	PUNCT
ejpam-6379	344	15	∈	∈	PROPN
ejpam-6379	344	16	d4	d4	PROPN
ejpam-6379	344	17	,	,	PUNCT
ejpam-6379	344	18	then	then	ADV
ejpam-6379	344	19	lv	lv	PROPN
ejpam-6379	344	20	≤	≤	X
ejpam-6379	344	21	(	(	PUNCT
ejpam-6379	344	22	w5w1	w5w1	X
ejpam-6379	344	23	+	+	CCONJ
ejpam-6379	344	24	1	1	X
ejpam-6379	344	25	)	)	PUNCT
ejpam-6379	344	26	βe	βe	PRON
ejpam-6379	344	27	n	n	PROPN
ejpam-6379	344	28	+	+	CCONJ
ejpam-6379	344	29	c4	c4	NOUN
ejpam-6379	344	30	≤	≤	NOUN
ejpam-6379	344	31	(	(	PUNCT
ejpam-6379	344	32	w5w1	w5w1	X
ejpam-6379	344	33	+	+	CCONJ
ejpam-6379	344	34	1	1	X
ejpam-6379	344	35	)	)	PUNCT
ejpam-6379	344	36	βε2	βε2	NOUN
ejpam-6379	344	37	n	n	NOUN
ejpam-6379	344	38	+	+	CCONJ
ejpam-6379	344	39	c4	c4	VERB
ejpam-6379	344	40	where	where	SCONJ
ejpam-6379	344	41	c4	c4	NOUN
ejpam-6379	344	42	=	=	SYM
ejpam-6379	344	43	sup	sup	X
ejpam-6379	344	44	(	(	PUNCT
ejpam-6379	344	45	s	s	X
ejpam-6379	344	46	,	,	PUNCT
ejpam-6379	344	47	e	e	NOUN
ejpam-6379	344	48	,	,	PUNCT
ejpam-6379	344	49	i	i	PRON
ejpam-6379	344	50	,	,	PUNCT
ejpam-6379	344	51	h	h	NOUN
ejpam-6379	344	52	,	,	PUNCT
ejpam-6379	344	53	v	v	NOUN
ejpam-6379	344	54	,	,	PUNCT
ejpam-6379	344	55	r)∈r6	r)∈r6	ADV
ejpam-6379	344	56	+	+	CCONJ
ejpam-6379	344	57	{	{	PUNCT
ejpam-6379	345	1	−w5w6	−w5w6	NOUN
ejpam-6379	345	2	+	+	CCONJ
ejpam-6379	345	3	(	(	PUNCT
ejpam-6379	345	4	w5w1	w5w1	X
ejpam-6379	345	5	+	+	NOUN
ejpam-6379	345	6	1	1	NUM
ejpam-6379	345	7	)	)	PUNCT
ejpam-6379	345	8	βi(s	βi(s	PUNCT
ejpam-6379	346	1	+	+	CCONJ
ejpam-6379	346	2	σv	σv	X
ejpam-6379	346	3	)	)	PUNCT
ejpam-6379	346	4	sn	sn	PROPN
ejpam-6379	347	1	+	+	CCONJ
ejpam-6379	347	2	λ+	λ+	PUNCT
ejpam-6379	347	3	3µ+	3µ+	NUM
ejpam-6379	347	4	α	α	PROPN
ejpam-6379	347	5	+	+	PROPN
ejpam-6379	347	6	γ3	γ3	NOUN
ejpam-6379	347	7	+	+	CCONJ
ejpam-6379	347	8	ρ+	ρ+	NUM
ejpam-6379	347	9	(	(	PUNCT
ejpam-6379	347	10	w5w1	w5w1	X
ejpam-6379	347	11	+	+	CCONJ
ejpam-6379	347	12	1	1	X
ejpam-6379	347	13	)	)	PUNCT
ejpam-6379	347	14	βeσv	βeσv	PROPN
ejpam-6379	347	15	sn	sn	PROPN
ejpam-6379	347	16	−	−	PROPN
ejpam-6379	347	17	µ(s	µ(s	PUNCT
ejpam-6379	347	18	+	+	NUM
ejpam-6379	347	19	e	e	X
ejpam-6379	347	20	+	+	CCONJ
ejpam-6379	347	21	i	i	PRON
ejpam-6379	347	22	+	+	NOUN
ejpam-6379	347	23	h	h	NOUN
ejpam-6379	347	24	+	+	X
ejpam-6379	347	25	v	v	ADP
ejpam-6379	347	26	+	+	NOUN
ejpam-6379	347	27	r	r	NOUN
ejpam-6379	347	28	)	)	PUNCT
ejpam-6379	347	29	−σv	−σv	ADP
ejpam-6379	347	30	−	−	PROPN
ejpam-6379	347	31	λ	λ	PROPN
ejpam-6379	347	32	s	s	PART
ejpam-6379	347	33	−	−	X
ejpam-6379	347	34	ρ(v	ρ(v	PROPN
ejpam-6379	347	35	+	+	PROPN
ejpam-6379	347	36	r	r	NOUN
ejpam-6379	347	37	)	)	PUNCT
ejpam-6379	347	38	s	s	PART
ejpam-6379	347	39	−	−	NOUN
ejpam-6379	347	40	ϵi	ϵi	NOUN
ejpam-6379	347	41	h	h	NOUN
ejpam-6379	347	42	−	−	NOUN
ejpam-6379	347	43	γ1e	γ1e	ADP
ejpam-6379	348	1	r	r	NOUN
ejpam-6379	348	2	−	−	NOUN
ejpam-6379	348	3	γ2i	γ2i	NOUN
ejpam-6379	348	4	r	r	NOUN
ejpam-6379	348	5	−	−	NOUN
ejpam-6379	348	6	γ3h	γ3h	NOUN
ejpam-6379	348	7	r	r	NOUN
ejpam-6379	348	8	+	+	NOUN
ejpam-6379	348	9	δ21	δ21	NOUN
ejpam-6379	348	10	+	+	NUM
ejpam-6379	348	11	δ24	δ24	NOUN
ejpam-6379	348	12	+	+	CCONJ
ejpam-6379	348	13	δ26	δ26	VERB
ejpam-6379	348	14	2	2	NUM
ejpam-6379	348	15	}	}	PUNCT
ejpam-6379	348	16	by	by	ADP
ejpam-6379	348	17	(	(	PUNCT
ejpam-6379	348	18	20	20	NUM
ejpam-6379	348	19	)	)	PUNCT
ejpam-6379	348	20	,	,	PUNCT
ejpam-6379	348	21	we	we	PRON
ejpam-6379	348	22	can	can	AUX
ejpam-6379	348	23	conclude	conclude	VERB
ejpam-6379	348	24	that	that	SCONJ
ejpam-6379	348	25	lv	lv	PROPN
ejpam-6379	348	26	≤	≤	PROPN
ejpam-6379	348	27	−j	−j	NOUN
ejpam-6379	348	28	on	on	ADP
ejpam-6379	348	29	d4	d4	PROPN
ejpam-6379	348	30	.	.	PUNCT
ejpam-6379	349	1	case	case	NOUN
ejpam-6379	349	2	5	5	NUM
ejpam-6379	349	3	.	.	PUNCT
ejpam-6379	350	1	if	if	SCONJ
ejpam-6379	350	2	(	(	PUNCT
ejpam-6379	350	3	s	s	X
ejpam-6379	350	4	,	,	PUNCT
ejpam-6379	350	5	e	e	NOUN
ejpam-6379	350	6	,	,	PUNCT
ejpam-6379	350	7	i	i	PRON
ejpam-6379	350	8	,	,	PUNCT
ejpam-6379	350	9	h	h	PROPN
ejpam-6379	350	10	,	,	PUNCT
ejpam-6379	350	11	v	v	NOUN
ejpam-6379	350	12	,	,	PUNCT
ejpam-6379	350	13	r	r	NOUN
ejpam-6379	350	14	)	)	PUNCT
ejpam-6379	350	15	∈	∈	NOUN
ejpam-6379	350	16	d5	d5	NOUN
ejpam-6379	350	17	,	,	PUNCT
ejpam-6379	350	18	then	then	ADV
ejpam-6379	350	19	lv	lv	PROPN
ejpam-6379	350	20	≤	≤	X
ejpam-6379	350	21	−γ2i	−γ2i	NUM
ejpam-6379	351	1	r	r	NOUN
ejpam-6379	351	2	−	−	NOUN
ejpam-6379	351	3	γ3h	γ3h	NOUN
ejpam-6379	351	4	r	r	NOUN
ejpam-6379	351	5	+	+	CCONJ
ejpam-6379	351	6	c5	c5	PROPN
ejpam-6379	351	7	≤	≤	PROPN
ejpam-6379	351	8	−γ2ε3	−γ2ε3	PROPN
ejpam-6379	351	9	ε6	ε6	NOUN
ejpam-6379	351	10	−	−	PROPN
ejpam-6379	351	11	γ3ε4	γ3ε4	NOUN
ejpam-6379	351	12	ε6	ε6	NOUN
ejpam-6379	351	13	+	+	CCONJ
ejpam-6379	351	14	c5	c5	PROPN
ejpam-6379	351	15	≤	≤	PROPN
ejpam-6379	352	1	−γ2ε6	−γ2ε6	PROPN
ejpam-6379	352	2	−	−	PROPN
ejpam-6379	352	3	γ3ε6	γ3ε6	PROPN
ejpam-6379	353	1	+	+	CCONJ
ejpam-6379	353	2	c5	c5	PROPN
ejpam-6379	353	3	choosing	choose	VERB
ejpam-6379	353	4	ϵ3	ϵ3	PROPN
ejpam-6379	353	5	=	=	SYM
ejpam-6379	353	6	ϵ26	ϵ26	PROPN
ejpam-6379	353	7	,	,	PUNCT
ejpam-6379	353	8	ϵ4	ϵ4	NOUN
ejpam-6379	353	9	=	=	SYM
ejpam-6379	353	10	ϵ26	ϵ26	PROPN
ejpam-6379	353	11	where	where	SCONJ
ejpam-6379	353	12	c5	c5	PROPN
ejpam-6379	353	13	=	=	PROPN
ejpam-6379	353	14	sup	sup	PROPN
ejpam-6379	353	15	(	(	PUNCT
ejpam-6379	353	16	s	s	X
ejpam-6379	353	17	,	,	PUNCT
ejpam-6379	353	18	e	e	NOUN
ejpam-6379	353	19	,	,	PUNCT
ejpam-6379	353	20	i	i	PRON
ejpam-6379	353	21	,	,	PUNCT
ejpam-6379	353	22	h	h	NOUN
ejpam-6379	353	23	,	,	PUNCT
ejpam-6379	353	24	v	v	NOUN
ejpam-6379	353	25	,	,	PUNCT
ejpam-6379	353	26	r)∈r6	r)∈r6	ADV
ejpam-6379	353	27	+	+	CCONJ
ejpam-6379	353	28	{	{	PUNCT
ejpam-6379	353	29	−w5w6	−w5w6	NOUN
ejpam-6379	353	30	+	+	CCONJ
ejpam-6379	353	31	(	(	PUNCT
ejpam-6379	353	32	w5w1	w5w1	X
ejpam-6379	353	33	+	+	CCONJ
ejpam-6379	353	34	1	1	NUM
ejpam-6379	353	35	)	)	PUNCT
ejpam-6379	353	36	β(e	β(e	NOUN
ejpam-6379	353	37	+	+	PUNCT
ejpam-6379	353	38	i)(s	i)(s	NOUN
ejpam-6379	353	39	+	+	CCONJ
ejpam-6379	353	40	σv	σv	ADJ
ejpam-6379	353	41	)	)	PUNCT
ejpam-6379	353	42	sn	sn	PROPN
ejpam-6379	354	1	+	+	CCONJ
ejpam-6379	354	2	λ+	λ+	NUM
ejpam-6379	354	3	3µ	3µ	NUM
ejpam-6379	354	4	+	+	NOUN
ejpam-6379	354	5	α+	α+	X
ejpam-6379	354	6	γ3	γ3	NOUN
ejpam-6379	354	7	+	+	CCONJ
ejpam-6379	354	8	ρ−	ρ−	PROPN
ejpam-6379	354	9	µ(s	µ(s	PUNCT
ejpam-6379	355	1	+	+	PUNCT
ejpam-6379	355	2	e	e	X
ejpam-6379	355	3	+	+	CCONJ
ejpam-6379	355	4	i	i	PRON
ejpam-6379	355	5	+	+	NOUN
ejpam-6379	355	6	h	h	NOUN
ejpam-6379	355	7	+	+	X
ejpam-6379	355	8	v	v	X
ejpam-6379	355	9	+	+	NOUN
ejpam-6379	355	10	r)−	r)−	PROPN
ejpam-6379	356	1	σv	σv	INTJ
ejpam-6379	356	2	−	−	PROPN
ejpam-6379	357	1	λ	λ	PROPN
ejpam-6379	357	2	s	s	PROPN
ejpam-6379	357	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	357	4	+	+	PROPN
ejpam-6379	357	5	r	r	NOUN
ejpam-6379	357	6	)	)	PUNCT
ejpam-6379	357	7	s	s	PART
ejpam-6379	357	8	−	−	NOUN
ejpam-6379	357	9	ϵi	ϵi	NOUN
ejpam-6379	357	10	h	h	NOUN
ejpam-6379	357	11	−	−	NOUN
ejpam-6379	357	12	γ1e	γ1e	ADP
ejpam-6379	358	1	r	r	NOUN
ejpam-6379	358	2	+	+	NOUN
ejpam-6379	358	3	δ21	δ21	NOUN
ejpam-6379	358	4	+	+	NUM
ejpam-6379	358	5	δ24	δ24	NOUN
ejpam-6379	358	6	+	+	CCONJ
ejpam-6379	358	7	δ26	δ26	VERB
ejpam-6379	358	8	2	2	NUM
ejpam-6379	358	9	}	}	PUNCT
ejpam-6379	358	10	by	by	ADP
ejpam-6379	358	11	(	(	PUNCT
ejpam-6379	358	12	21	21	NUM
ejpam-6379	358	13	)	)	PUNCT
ejpam-6379	358	14	,	,	PUNCT
ejpam-6379	358	15	we	we	PRON
ejpam-6379	358	16	can	can	AUX
ejpam-6379	358	17	conclude	conclude	VERB
ejpam-6379	358	18	that	that	SCONJ
ejpam-6379	358	19	lv	lv	PROPN
ejpam-6379	358	20	≤	≤	PROPN
ejpam-6379	358	21	−j	−j	NOUN
ejpam-6379	358	22	on	on	ADP
ejpam-6379	358	23	d5	d5	NOUN
ejpam-6379	358	24	.	.	PUNCT
ejpam-6379	359	1	case	case	NOUN
ejpam-6379	359	2	6	6	NUM
ejpam-6379	359	3	.	.	PUNCT
ejpam-6379	360	1	if	if	SCONJ
ejpam-6379	360	2	(	(	PUNCT
ejpam-6379	360	3	s	s	X
ejpam-6379	360	4	,	,	PUNCT
ejpam-6379	360	5	e	e	NOUN
ejpam-6379	360	6	,	,	PUNCT
ejpam-6379	360	7	i	i	PRON
ejpam-6379	360	8	,	,	PUNCT
ejpam-6379	360	9	h	h	PROPN
ejpam-6379	360	10	,	,	PUNCT
ejpam-6379	360	11	v	v	NOUN
ejpam-6379	360	12	,	,	PUNCT
ejpam-6379	360	13	r	r	NOUN
ejpam-6379	360	14	)	)	PUNCT
ejpam-6379	360	15	∈	∈	NOUN
ejpam-6379	360	16	d6	d6	NOUN
ejpam-6379	360	17	,	,	PUNCT
ejpam-6379	360	18	then	then	ADV
ejpam-6379	360	19	lv	lv	PROPN
ejpam-6379	360	20	≤	≤	X
ejpam-6379	360	21	−γ2i	−γ2i	NUM
ejpam-6379	361	1	r	r	NOUN
ejpam-6379	361	2	−	−	NOUN
ejpam-6379	361	3	ϵi	ϵi	NOUN
ejpam-6379	361	4	h	h	PROPN
ejpam-6379	361	5	+	+	CCONJ
ejpam-6379	361	6	c6	c6	PROPN
ejpam-6379	361	7	r.	r.	PROPN
ejpam-6379	361	8	saadeh	saadeh	PROPN
ejpam-6379	361	9	et	et	PROPN
ejpam-6379	361	10	al	al	PROPN
ejpam-6379	361	11	.	.	PUNCT
ejpam-6379	361	12	/	/	SYM
ejpam-6379	361	13	eur	eur	PROPN
ejpam-6379	361	14	.	.	PUNCT
ejpam-6379	362	1	j.	j.	PROPN
ejpam-6379	362	2	pure	pure	PROPN
ejpam-6379	362	3	appl	appl	PROPN
ejpam-6379	362	4	.	.	PROPN
ejpam-6379	362	5	math	math	PROPN
ejpam-6379	362	6	,	,	PUNCT
ejpam-6379	362	7	18	18	NUM
ejpam-6379	362	8	(	(	PUNCT
ejpam-6379	362	9	3	3	NUM
ejpam-6379	362	10	)	)	PUNCT
ejpam-6379	362	11	(	(	PUNCT
ejpam-6379	362	12	2025	2025	NUM
ejpam-6379	362	13	)	)	PUNCT
ejpam-6379	362	14	,	,	PUNCT
ejpam-6379	362	15	6379	6379	NUM
ejpam-6379	362	16	17	17	NUM
ejpam-6379	362	17	of	of	ADP
ejpam-6379	362	18	34	34	NUM
ejpam-6379	362	19	≤	≤	NOUN
ejpam-6379	362	20	−γ2ε3	−γ2ε3	PROPN
ejpam-6379	362	21	ε6	ε6	VERB
ejpam-6379	362	22	−	−	PROPN
ejpam-6379	362	23	ϵε3	ϵε3	PROPN
ejpam-6379	362	24	ε4	ε4	PROPN
ejpam-6379	362	25	+	+	CCONJ
ejpam-6379	362	26	c6	c6	PROPN
ejpam-6379	362	27	≤	≤	PUNCT
ejpam-6379	363	1	−γ2ε4	−γ2ε4	PROPN
ejpam-6379	363	2	−	−	PROPN
ejpam-6379	363	3	ϵε6	ϵε6	NOUN
ejpam-6379	363	4	+	+	CCONJ
ejpam-6379	363	5	c6	c6	PROPN
ejpam-6379	363	6	choosing	choose	VERB
ejpam-6379	363	7	ϵ3	ϵ3	PROPN
ejpam-6379	363	8	=	=	SYM
ejpam-6379	363	9	ϵ6ϵ4	ϵ6ϵ4	PROPN
ejpam-6379	363	10	where	where	SCONJ
ejpam-6379	363	11	c6	c6	NOUN
ejpam-6379	363	12	=	=	PROPN
ejpam-6379	363	13	sup	sup	X
ejpam-6379	363	14	(	(	PUNCT
ejpam-6379	363	15	s	s	X
ejpam-6379	363	16	,	,	PUNCT
ejpam-6379	363	17	e	e	NOUN
ejpam-6379	363	18	,	,	PUNCT
ejpam-6379	363	19	i	i	PRON
ejpam-6379	363	20	,	,	PUNCT
ejpam-6379	363	21	h	h	NOUN
ejpam-6379	363	22	,	,	PUNCT
ejpam-6379	363	23	v	v	NOUN
ejpam-6379	363	24	,	,	PUNCT
ejpam-6379	363	25	r)∈r6	r)∈r6	ADV
ejpam-6379	363	26	+	+	CCONJ
ejpam-6379	363	27	{	{	PUNCT
ejpam-6379	363	28	−w5w6	−w5w6	NOUN
ejpam-6379	363	29	+	+	CCONJ
ejpam-6379	363	30	(	(	PUNCT
ejpam-6379	363	31	w5w1	w5w1	X
ejpam-6379	363	32	+	+	CCONJ
ejpam-6379	363	33	1	1	NUM
ejpam-6379	363	34	)	)	PUNCT
ejpam-6379	363	35	β(e	β(e	NOUN
ejpam-6379	364	1	+	+	PUNCT
ejpam-6379	364	2	i)(s	i)(s	NOUN
ejpam-6379	364	3	+	+	CCONJ
ejpam-6379	364	4	σv	σv	ADJ
ejpam-6379	364	5	)	)	PUNCT
ejpam-6379	364	6	sn	sn	PROPN
ejpam-6379	365	1	+	+	CCONJ
ejpam-6379	365	2	λ+	λ+	NUM
ejpam-6379	365	3	3µ	3µ	NUM
ejpam-6379	365	4	+	+	NOUN
ejpam-6379	365	5	α+	α+	X
ejpam-6379	365	6	γ3	γ3	NOUN
ejpam-6379	365	7	+	+	CCONJ
ejpam-6379	365	8	ρ−	ρ−	PROPN
ejpam-6379	365	9	µ(s	µ(s	PUNCT
ejpam-6379	366	1	+	+	PUNCT
ejpam-6379	366	2	e	e	X
ejpam-6379	366	3	+	+	CCONJ
ejpam-6379	366	4	i	i	PRON
ejpam-6379	366	5	+	+	NOUN
ejpam-6379	366	6	h	h	NOUN
ejpam-6379	366	7	+	+	X
ejpam-6379	366	8	v	v	X
ejpam-6379	366	9	+	+	NOUN
ejpam-6379	366	10	r)−	r)−	PROPN
ejpam-6379	367	1	σv	σv	INTJ
ejpam-6379	367	2	−	−	PROPN
ejpam-6379	368	1	λ	λ	PROPN
ejpam-6379	368	2	s	s	PROPN
ejpam-6379	368	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	368	4	+	+	PROPN
ejpam-6379	368	5	r	r	NOUN
ejpam-6379	368	6	)	)	PUNCT
ejpam-6379	368	7	s	s	PART
ejpam-6379	368	8	−	−	PROPN
ejpam-6379	368	9	γ3h	γ3h	PROPN
ejpam-6379	368	10	r	r	NOUN
ejpam-6379	368	11	−	−	NOUN
ejpam-6379	368	12	γ1e	γ1e	ADP
ejpam-6379	368	13	r	r	NOUN
ejpam-6379	368	14	+	+	NOUN
ejpam-6379	368	15	δ21	δ21	NOUN
ejpam-6379	368	16	+	+	NUM
ejpam-6379	368	17	δ24	δ24	NOUN
ejpam-6379	368	18	+	+	CCONJ
ejpam-6379	368	19	δ26	δ26	VERB
ejpam-6379	368	20	2	2	NUM
ejpam-6379	368	21	}	}	PUNCT
ejpam-6379	368	22	according	accord	VERB
ejpam-6379	368	23	to	to	ADP
ejpam-6379	368	24	(	(	PUNCT
ejpam-6379	368	25	22	22	NUM
ejpam-6379	368	26	)	)	PUNCT
ejpam-6379	368	27	,	,	PUNCT
ejpam-6379	368	28	we	we	PRON
ejpam-6379	368	29	have	have	VERB
ejpam-6379	368	30	lv	lv	PROPN
ejpam-6379	368	31	≤	≤	NUM
ejpam-6379	368	32	−j	−j	NOUN
ejpam-6379	368	33	for	for	ADP
ejpam-6379	368	34	any	any	DET
ejpam-6379	368	35	(	(	PUNCT
ejpam-6379	368	36	s	s	X
ejpam-6379	368	37	,	,	PUNCT
ejpam-6379	368	38	e	e	NOUN
ejpam-6379	368	39	,	,	PUNCT
ejpam-6379	368	40	i	i	PRON
ejpam-6379	368	41	,	,	PUNCT
ejpam-6379	368	42	h	h	PROPN
ejpam-6379	368	43	,	,	PUNCT
ejpam-6379	368	44	v	v	NOUN
ejpam-6379	368	45	,	,	PUNCT
ejpam-6379	368	46	r	r	NOUN
ejpam-6379	368	47	)	)	PUNCT
ejpam-6379	368	48	∈	∈	PROPN
ejpam-6379	368	49	d6	d6	NOUN
ejpam-6379	368	50	.	.	PUNCT
ejpam-6379	369	1	case	case	NOUN
ejpam-6379	369	2	7	7	NUM
ejpam-6379	369	3	.	.	PUNCT
ejpam-6379	370	1	if	if	SCONJ
ejpam-6379	370	2	(	(	PUNCT
ejpam-6379	370	3	s	s	X
ejpam-6379	370	4	,	,	PUNCT
ejpam-6379	370	5	e	e	NOUN
ejpam-6379	370	6	,	,	PUNCT
ejpam-6379	370	7	i	i	PRON
ejpam-6379	370	8	,	,	PUNCT
ejpam-6379	370	9	h	h	PROPN
ejpam-6379	370	10	,	,	PUNCT
ejpam-6379	370	11	v	v	NOUN
ejpam-6379	370	12	,	,	PUNCT
ejpam-6379	370	13	r	r	NOUN
ejpam-6379	370	14	)	)	PUNCT
ejpam-6379	370	15	∈	∈	NOUN
ejpam-6379	370	16	d7	d7	PROPN
ejpam-6379	370	17	,	,	PUNCT
ejpam-6379	370	18	then	then	ADV
ejpam-6379	370	19	lv	lv	PROPN
ejpam-6379	370	20	≤	≤	PROPN
ejpam-6379	371	1	−w5w6	−w5w6	PROPN
ejpam-6379	371	2	+	+	PUNCT
ejpam-6379	371	3	(	(	PUNCT
ejpam-6379	371	4	w5w1	w5w1	X
ejpam-6379	371	5	+	+	CCONJ
ejpam-6379	371	6	1	1	NUM
ejpam-6379	371	7	)	)	PUNCT
ejpam-6379	371	8	β(e	β(e	NOUN
ejpam-6379	372	1	+	+	PUNCT
ejpam-6379	372	2	i)(s	i)(s	NOUN
ejpam-6379	372	3	+	+	CCONJ
ejpam-6379	372	4	σv	σv	ADJ
ejpam-6379	372	5	)	)	PUNCT
ejpam-6379	372	6	sn	sn	PROPN
ejpam-6379	373	1	+	+	CCONJ
ejpam-6379	373	2	λ+	λ+	PUNCT
ejpam-6379	373	3	3µ+	3µ+	NUM
ejpam-6379	373	4	α+	α+	PRON
ejpam-6379	373	5	γ3	γ3	NOUN
ejpam-6379	373	6	+	+	NOUN
ejpam-6379	373	7	ρ−	ρ−	PROPN
ejpam-6379	373	8	µ(s	µ(s	PUNCT
ejpam-6379	374	1	+	+	PUNCT
ejpam-6379	374	2	e	e	X
ejpam-6379	374	3	+	+	CCONJ
ejpam-6379	374	4	i	i	PRON
ejpam-6379	374	5	+	+	NOUN
ejpam-6379	374	6	h	h	NOUN
ejpam-6379	374	7	+	+	X
ejpam-6379	374	8	v	v	X
ejpam-6379	374	9	+	+	NOUN
ejpam-6379	374	10	r)−	r)−	PROPN
ejpam-6379	375	1	σv	σv	INTJ
ejpam-6379	376	1	−	−	PROPN
ejpam-6379	377	1	λ	λ	PROPN
ejpam-6379	377	2	s	s	PART
ejpam-6379	377	3	−	−	X
ejpam-6379	377	4	ρ(v	ρ(v	PROPN
ejpam-6379	377	5	+	+	PROPN
ejpam-6379	377	6	r	r	NOUN
ejpam-6379	377	7	)	)	PUNCT
ejpam-6379	377	8	s	s	PART
ejpam-6379	377	9	−ϵi	−ϵi	PRON
ejpam-6379	377	10	h	h	NOUN
ejpam-6379	377	11	−	−	NOUN
ejpam-6379	377	12	γ1e	γ1e	ADP
ejpam-6379	378	1	r	r	NOUN
ejpam-6379	378	2	−	−	NOUN
ejpam-6379	378	3	γ2i	γ2i	NOUN
ejpam-6379	378	4	r	r	NOUN
ejpam-6379	378	5	−	−	NOUN
ejpam-6379	378	6	γ3h	γ3h	NOUN
ejpam-6379	378	7	r	r	NOUN
ejpam-6379	378	8	+	+	NOUN
ejpam-6379	378	9	δ21	δ21	NOUN
ejpam-6379	378	10	+	+	NUM
ejpam-6379	378	11	δ24	δ24	NOUN
ejpam-6379	378	12	+	+	CCONJ
ejpam-6379	378	13	δ26	δ26	VERB
ejpam-6379	378	14	2	2	NUM
ejpam-6379	378	15	≤	≤	NOUN
ejpam-6379	378	16	−µs	−µs	NOUN
ejpam-6379	378	17	+	+	CCONJ
ejpam-6379	378	18	c7	c7	PROPN
ejpam-6379	378	19	≤	≤	PROPN
ejpam-6379	378	20	−	−	PROPN
ejpam-6379	378	21	µ	µ	PRON
ejpam-6379	378	22	ε1	ε1	PROPN
ejpam-6379	378	23	+	+	CCONJ
ejpam-6379	378	24	c7	c7	PROPN
ejpam-6379	378	25	where	where	SCONJ
ejpam-6379	378	26	c7	c7	PROPN
ejpam-6379	378	27	=	=	PROPN
ejpam-6379	378	28	sup	sup	PROPN
ejpam-6379	378	29	(	(	PUNCT
ejpam-6379	378	30	s	s	X
ejpam-6379	378	31	,	,	PUNCT
ejpam-6379	378	32	e	e	NOUN
ejpam-6379	378	33	,	,	PUNCT
ejpam-6379	378	34	i	i	PRON
ejpam-6379	378	35	,	,	PUNCT
ejpam-6379	378	36	h	h	NOUN
ejpam-6379	378	37	,	,	PUNCT
ejpam-6379	378	38	v	v	NOUN
ejpam-6379	378	39	,	,	PUNCT
ejpam-6379	378	40	r)∈r6	r)∈r6	ADV
ejpam-6379	378	41	+	+	CCONJ
ejpam-6379	378	42	{	{	PUNCT
ejpam-6379	378	43	−w5w6	−w5w6	NOUN
ejpam-6379	378	44	+	+	CCONJ
ejpam-6379	378	45	(	(	PUNCT
ejpam-6379	378	46	w5w1	w5w1	X
ejpam-6379	378	47	+	+	CCONJ
ejpam-6379	378	48	1	1	NUM
ejpam-6379	378	49	)	)	PUNCT
ejpam-6379	378	50	β(e	β(e	NOUN
ejpam-6379	378	51	+	+	PUNCT
ejpam-6379	378	52	i)(s	i)(s	NOUN
ejpam-6379	378	53	+	+	CCONJ
ejpam-6379	378	54	σv	σv	ADJ
ejpam-6379	378	55	)	)	PUNCT
ejpam-6379	378	56	sn	sn	PROPN
ejpam-6379	379	1	+	+	CCONJ
ejpam-6379	379	2	λ	λ	X
ejpam-6379	379	3	+3µ+	+3µ+	X
ejpam-6379	379	4	α+	α+	PUNCT
ejpam-6379	379	5	γ3	γ3	NOUN
ejpam-6379	379	6	+	+	CCONJ
ejpam-6379	379	7	ρ−	ρ−	PROPN
ejpam-6379	379	8	µ(e	µ(e	PROPN
ejpam-6379	380	1	+	+	PUNCT
ejpam-6379	380	2	i	i	PRON
ejpam-6379	380	3	+	+	NOUN
ejpam-6379	380	4	h	h	NOUN
ejpam-6379	380	5	+	+	X
ejpam-6379	380	6	v	v	X
ejpam-6379	380	7	+	+	NOUN
ejpam-6379	380	8	r)−	r)−	PROPN
ejpam-6379	381	1	σv	σv	INTJ
ejpam-6379	381	2	−	−	PROPN
ejpam-6379	382	1	λ	λ	PROPN
ejpam-6379	382	2	s	s	PROPN
ejpam-6379	382	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	382	4	+	+	PROPN
ejpam-6379	382	5	r	r	NOUN
ejpam-6379	382	6	)	)	PUNCT
ejpam-6379	382	7	s	s	PART
ejpam-6379	382	8	−	−	NOUN
ejpam-6379	382	9	ϵi	ϵi	NOUN
ejpam-6379	382	10	h	h	NOUN
ejpam-6379	382	11	−	−	NOUN
ejpam-6379	382	12	γ1e	γ1e	ADP
ejpam-6379	383	1	r	r	NOUN
ejpam-6379	383	2	−	−	NOUN
ejpam-6379	383	3	γ2i	γ2i	NOUN
ejpam-6379	383	4	r	r	NOUN
ejpam-6379	383	5	−	−	NOUN
ejpam-6379	383	6	γ3h	γ3h	NOUN
ejpam-6379	383	7	r	r	NOUN
ejpam-6379	383	8	+	+	NOUN
ejpam-6379	383	9	δ21	δ21	NOUN
ejpam-6379	383	10	+	+	NUM
ejpam-6379	383	11	δ24	δ24	NOUN
ejpam-6379	383	12	+	+	CCONJ
ejpam-6379	383	13	δ26	δ26	VERB
ejpam-6379	383	14	2	2	NUM
ejpam-6379	383	15	}	}	PUNCT
ejpam-6379	383	16	according	accord	VERB
ejpam-6379	383	17	to	to	ADP
ejpam-6379	383	18	(	(	PUNCT
ejpam-6379	383	19	23	23	NUM
ejpam-6379	383	20	)	)	PUNCT
ejpam-6379	383	21	,	,	PUNCT
ejpam-6379	383	22	we	we	PRON
ejpam-6379	383	23	have	have	VERB
ejpam-6379	383	24	lv	lv	PROPN
ejpam-6379	383	25	≤	≤	NUM
ejpam-6379	383	26	−j	−j	NOUN
ejpam-6379	383	27	for	for	ADP
ejpam-6379	383	28	any	any	DET
ejpam-6379	383	29	(	(	PUNCT
ejpam-6379	383	30	s	s	X
ejpam-6379	383	31	,	,	PUNCT
ejpam-6379	383	32	e	e	NOUN
ejpam-6379	383	33	,	,	PUNCT
ejpam-6379	383	34	i	i	PRON
ejpam-6379	383	35	,	,	PUNCT
ejpam-6379	383	36	h	h	PROPN
ejpam-6379	383	37	,	,	PUNCT
ejpam-6379	383	38	v	v	NOUN
ejpam-6379	383	39	,	,	PUNCT
ejpam-6379	383	40	r	r	NOUN
ejpam-6379	383	41	)	)	PUNCT
ejpam-6379	383	42	∈	∈	PROPN
ejpam-6379	383	43	d7	d7	PROPN
ejpam-6379	383	44	.	.	PUNCT
ejpam-6379	384	1	case	case	NOUN
ejpam-6379	384	2	8	8	NUM
ejpam-6379	384	3	.	.	PUNCT
ejpam-6379	385	1	if	if	SCONJ
ejpam-6379	385	2	(	(	PUNCT
ejpam-6379	385	3	s	s	X
ejpam-6379	385	4	,	,	PUNCT
ejpam-6379	385	5	e	e	NOUN
ejpam-6379	385	6	,	,	PUNCT
ejpam-6379	385	7	i	i	PRON
ejpam-6379	385	8	,	,	PUNCT
ejpam-6379	385	9	h	h	PROPN
ejpam-6379	385	10	,	,	PUNCT
ejpam-6379	385	11	v	v	NOUN
ejpam-6379	385	12	,	,	PUNCT
ejpam-6379	385	13	r	r	NOUN
ejpam-6379	385	14	)	)	PUNCT
ejpam-6379	385	15	∈	∈	NOUN
ejpam-6379	385	16	d8	d8	NOUN
ejpam-6379	385	17	,	,	PUNCT
ejpam-6379	385	18	then	then	ADV
ejpam-6379	385	19	lv	lv	INTJ
ejpam-6379	385	20	≤	≤	PUNCT
ejpam-6379	385	21	−µe	−µe	NOUN
ejpam-6379	385	22	+	+	CCONJ
ejpam-6379	385	23	c8	c8	PROPN
ejpam-6379	385	24	≤	≤	PROPN
ejpam-6379	385	25	−	−	PROPN
ejpam-6379	385	26	µ	µ	NOUN
ejpam-6379	385	27	ε2	ε2	NOUN
ejpam-6379	385	28	+	+	CCONJ
ejpam-6379	385	29	c8	c8	PROPN
ejpam-6379	385	30	where	where	SCONJ
ejpam-6379	385	31	c8	c8	PROPN
ejpam-6379	385	32	=	=	PROPN
ejpam-6379	385	33	sup	sup	PROPN
ejpam-6379	385	34	(	(	PUNCT
ejpam-6379	385	35	s	s	X
ejpam-6379	385	36	,	,	PUNCT
ejpam-6379	385	37	e	e	NOUN
ejpam-6379	385	38	,	,	PUNCT
ejpam-6379	385	39	i	i	PRON
ejpam-6379	385	40	,	,	PUNCT
ejpam-6379	385	41	h	h	NOUN
ejpam-6379	385	42	,	,	PUNCT
ejpam-6379	385	43	v	v	NOUN
ejpam-6379	385	44	,	,	PUNCT
ejpam-6379	385	45	r)∈r6	r)∈r6	ADV
ejpam-6379	385	46	+	+	CCONJ
ejpam-6379	385	47	{	{	PUNCT
ejpam-6379	385	48	−w5w6	−w5w6	NOUN
ejpam-6379	385	49	+	+	CCONJ
ejpam-6379	385	50	(	(	PUNCT
ejpam-6379	385	51	w5w1	w5w1	X
ejpam-6379	385	52	+	+	CCONJ
ejpam-6379	385	53	1	1	NUM
ejpam-6379	385	54	)	)	PUNCT
ejpam-6379	385	55	β(e	β(e	NOUN
ejpam-6379	386	1	+	+	PUNCT
ejpam-6379	386	2	i)(s	i)(s	NOUN
ejpam-6379	386	3	+	+	CCONJ
ejpam-6379	386	4	σv	σv	ADJ
ejpam-6379	386	5	)	)	PUNCT
ejpam-6379	386	6	sn	sn	PROPN
ejpam-6379	387	1	+	+	CCONJ
ejpam-6379	387	2	λ	λ	X
ejpam-6379	387	3	+3µ+	+3µ+	X
ejpam-6379	387	4	α+	α+	PUNCT
ejpam-6379	387	5	γ3	γ3	NOUN
ejpam-6379	387	6	+	+	CCONJ
ejpam-6379	387	7	ρ−	ρ−	PROPN
ejpam-6379	387	8	µ(s	µ(s	PUNCT
ejpam-6379	388	1	+	+	CCONJ
ejpam-6379	388	2	i	i	PRON
ejpam-6379	388	3	+	+	NOUN
ejpam-6379	388	4	h	h	NOUN
ejpam-6379	388	5	+	+	X
ejpam-6379	388	6	v	v	X
ejpam-6379	389	1	+	+	NOUN
ejpam-6379	389	2	r)−	r)−	PROPN
ejpam-6379	390	1	σv	σv	INTJ
ejpam-6379	390	2	−	−	PROPN
ejpam-6379	391	1	λ	λ	PROPN
ejpam-6379	391	2	s	s	PROPN
ejpam-6379	391	3	r.	r.	PROPN
ejpam-6379	391	4	saadeh	saadeh	PROPN
ejpam-6379	391	5	et	et	PROPN
ejpam-6379	391	6	al	al	PROPN
ejpam-6379	391	7	.	.	PUNCT
ejpam-6379	391	8	/	/	SYM
ejpam-6379	391	9	eur	eur	PROPN
ejpam-6379	391	10	.	.	PUNCT
ejpam-6379	392	1	j.	j.	PROPN
ejpam-6379	392	2	pure	pure	PROPN
ejpam-6379	392	3	appl	appl	PROPN
ejpam-6379	392	4	.	.	PROPN
ejpam-6379	392	5	math	math	PROPN
ejpam-6379	392	6	,	,	PUNCT
ejpam-6379	392	7	18	18	NUM
ejpam-6379	392	8	(	(	PUNCT
ejpam-6379	392	9	3	3	NUM
ejpam-6379	392	10	)	)	PUNCT
ejpam-6379	392	11	(	(	PUNCT
ejpam-6379	392	12	2025	2025	NUM
ejpam-6379	392	13	)	)	PUNCT
ejpam-6379	392	14	,	,	PUNCT
ejpam-6379	392	15	6379	6379	NUM
ejpam-6379	392	16	18	18	NUM
ejpam-6379	392	17	of	of	ADP
ejpam-6379	392	18	34	34	NUM
ejpam-6379	392	19	−ρ(v	−ρ(v	PROPN
ejpam-6379	392	20	+	+	PROPN
ejpam-6379	392	21	r	r	NOUN
ejpam-6379	392	22	)	)	PUNCT
ejpam-6379	392	23	s	s	PART
ejpam-6379	392	24	−	−	NOUN
ejpam-6379	392	25	ϵi	ϵi	NOUN
ejpam-6379	392	26	h	h	NOUN
ejpam-6379	392	27	−	−	NOUN
ejpam-6379	392	28	γ1e	γ1e	ADP
ejpam-6379	393	1	r	r	NOUN
ejpam-6379	393	2	−	−	NOUN
ejpam-6379	393	3	γ2i	γ2i	NOUN
ejpam-6379	393	4	r	r	NOUN
ejpam-6379	393	5	−	−	NOUN
ejpam-6379	393	6	γ3h	γ3h	NOUN
ejpam-6379	393	7	r	r	NOUN
ejpam-6379	393	8	+	+	NOUN
ejpam-6379	393	9	δ21	δ21	NOUN
ejpam-6379	393	10	+	+	NUM
ejpam-6379	393	11	δ24	δ24	NOUN
ejpam-6379	393	12	+	+	CCONJ
ejpam-6379	393	13	δ26	δ26	VERB
ejpam-6379	393	14	2	2	NUM
ejpam-6379	393	15	}	}	PUNCT
ejpam-6379	393	16	according	accord	VERB
ejpam-6379	393	17	to	to	ADP
ejpam-6379	393	18	(	(	PUNCT
ejpam-6379	393	19	24	24	NUM
ejpam-6379	393	20	)	)	PUNCT
ejpam-6379	393	21	,	,	PUNCT
ejpam-6379	393	22	we	we	PRON
ejpam-6379	393	23	have	have	VERB
ejpam-6379	393	24	lv	lv	PROPN
ejpam-6379	393	25	≤	≤	NUM
ejpam-6379	393	26	−j	−j	NOUN
ejpam-6379	393	27	for	for	ADP
ejpam-6379	393	28	any	any	DET
ejpam-6379	393	29	(	(	PUNCT
ejpam-6379	393	30	s	s	X
ejpam-6379	393	31	,	,	PUNCT
ejpam-6379	393	32	e	e	NOUN
ejpam-6379	393	33	,	,	PUNCT
ejpam-6379	393	34	i	i	PRON
ejpam-6379	393	35	,	,	PUNCT
ejpam-6379	393	36	h	h	PROPN
ejpam-6379	393	37	,	,	PUNCT
ejpam-6379	393	38	v	v	NOUN
ejpam-6379	393	39	,	,	PUNCT
ejpam-6379	393	40	r	r	NOUN
ejpam-6379	393	41	)	)	PUNCT
ejpam-6379	393	42	∈	∈	PROPN
ejpam-6379	393	43	d8	d8	PROPN
ejpam-6379	393	44	.	.	PUNCT
ejpam-6379	394	1	case	case	NOUN
ejpam-6379	394	2	9	9	NUM
ejpam-6379	394	3	.	.	PUNCT
ejpam-6379	395	1	if	if	SCONJ
ejpam-6379	395	2	(	(	PUNCT
ejpam-6379	395	3	s	s	X
ejpam-6379	395	4	,	,	PUNCT
ejpam-6379	395	5	e	e	NOUN
ejpam-6379	395	6	,	,	PUNCT
ejpam-6379	395	7	i	i	PRON
ejpam-6379	395	8	,	,	PUNCT
ejpam-6379	395	9	h	h	PROPN
ejpam-6379	395	10	,	,	PUNCT
ejpam-6379	395	11	v	v	NOUN
ejpam-6379	395	12	,	,	PUNCT
ejpam-6379	395	13	r	r	NOUN
ejpam-6379	395	14	)	)	PUNCT
ejpam-6379	395	15	∈	∈	PROPN
ejpam-6379	395	16	d9	d9	PROPN
ejpam-6379	395	17	,	,	PUNCT
ejpam-6379	395	18	then	then	ADV
ejpam-6379	395	19	lv	lv	PROPN
ejpam-6379	395	20	≤	≤	PROPN
ejpam-6379	395	21	−µi	−µi	PROPN
ejpam-6379	395	22	+	+	NOUN
ejpam-6379	395	23	c9	c9	NOUN
ejpam-6379	395	24	≤	≤	PROPN
ejpam-6379	395	25	−	−	PROPN
ejpam-6379	395	26	µ	µ	X
ejpam-6379	395	27	ε3	ε3	ADJ
ejpam-6379	395	28	+	+	CCONJ
ejpam-6379	395	29	c9	c9	NOUN
ejpam-6379	395	30	where	where	SCONJ
ejpam-6379	395	31	c9	c9	NOUN
ejpam-6379	395	32	=	=	SYM
ejpam-6379	395	33	sup	sup	X
ejpam-6379	395	34	(	(	PUNCT
ejpam-6379	395	35	s	s	X
ejpam-6379	395	36	,	,	PUNCT
ejpam-6379	395	37	e	e	NOUN
ejpam-6379	395	38	,	,	PUNCT
ejpam-6379	395	39	i	i	PRON
ejpam-6379	395	40	,	,	PUNCT
ejpam-6379	395	41	h	h	NOUN
ejpam-6379	395	42	,	,	PUNCT
ejpam-6379	395	43	v	v	NOUN
ejpam-6379	395	44	,	,	PUNCT
ejpam-6379	395	45	r)∈r6	r)∈r6	ADV
ejpam-6379	395	46	+	+	CCONJ
ejpam-6379	395	47	{	{	PUNCT
ejpam-6379	395	48	−w5w6	−w5w6	NOUN
ejpam-6379	395	49	+	+	CCONJ
ejpam-6379	395	50	(	(	PUNCT
ejpam-6379	395	51	w5w1	w5w1	X
ejpam-6379	395	52	+	+	CCONJ
ejpam-6379	395	53	1	1	NUM
ejpam-6379	395	54	)	)	PUNCT
ejpam-6379	395	55	β(e	β(e	NOUN
ejpam-6379	396	1	+	+	PUNCT
ejpam-6379	396	2	i)(s	i)(s	NOUN
ejpam-6379	396	3	+	+	CCONJ
ejpam-6379	396	4	σv	σv	ADJ
ejpam-6379	396	5	)	)	PUNCT
ejpam-6379	396	6	sn	sn	PROPN
ejpam-6379	397	1	+	+	CCONJ
ejpam-6379	397	2	λ	λ	X
ejpam-6379	397	3	+3µ+	+3µ+	X
ejpam-6379	397	4	α+	α+	PUNCT
ejpam-6379	397	5	γ3	γ3	NOUN
ejpam-6379	397	6	+	+	CCONJ
ejpam-6379	397	7	ρ−	ρ−	PROPN
ejpam-6379	397	8	µ(s	µ(s	PUNCT
ejpam-6379	397	9	+	+	PUNCT
ejpam-6379	398	1	e	e	X
ejpam-6379	398	2	+	+	NOUN
ejpam-6379	398	3	h	h	NOUN
ejpam-6379	398	4	+	+	X
ejpam-6379	398	5	v	v	X
ejpam-6379	398	6	+	+	NOUN
ejpam-6379	398	7	r)−	r)−	PROPN
ejpam-6379	399	1	σv	σv	INTJ
ejpam-6379	399	2	−	−	PROPN
ejpam-6379	400	1	λ	λ	PROPN
ejpam-6379	400	2	s	s	PROPN
ejpam-6379	400	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	400	4	+	+	PROPN
ejpam-6379	400	5	r	r	NOUN
ejpam-6379	400	6	)	)	PUNCT
ejpam-6379	400	7	s	s	PART
ejpam-6379	400	8	−	−	NOUN
ejpam-6379	400	9	ϵi	ϵi	NOUN
ejpam-6379	400	10	h	h	NOUN
ejpam-6379	400	11	−	−	NOUN
ejpam-6379	400	12	γ1e	γ1e	ADP
ejpam-6379	401	1	r	r	NOUN
ejpam-6379	401	2	−	−	NOUN
ejpam-6379	401	3	γ2i	γ2i	NOUN
ejpam-6379	401	4	r	r	NOUN
ejpam-6379	401	5	−	−	NOUN
ejpam-6379	401	6	γ3h	γ3h	NOUN
ejpam-6379	401	7	r	r	NOUN
ejpam-6379	401	8	+	+	NOUN
ejpam-6379	401	9	δ21	δ21	NOUN
ejpam-6379	401	10	+	+	NUM
ejpam-6379	401	11	δ24	δ24	NOUN
ejpam-6379	401	12	+	+	CCONJ
ejpam-6379	401	13	δ26	δ26	VERB
ejpam-6379	401	14	2	2	NUM
ejpam-6379	401	15	}	}	PUNCT
ejpam-6379	401	16	according	accord	VERB
ejpam-6379	401	17	to	to	ADP
ejpam-6379	401	18	(	(	PUNCT
ejpam-6379	401	19	25	25	NUM
ejpam-6379	401	20	)	)	PUNCT
ejpam-6379	401	21	,	,	PUNCT
ejpam-6379	401	22	we	we	PRON
ejpam-6379	401	23	have	have	VERB
ejpam-6379	401	24	lv	lv	PROPN
ejpam-6379	401	25	≤	≤	NUM
ejpam-6379	401	26	−j	−j	NOUN
ejpam-6379	401	27	for	for	ADP
ejpam-6379	401	28	any	any	DET
ejpam-6379	401	29	(	(	PUNCT
ejpam-6379	401	30	s	s	X
ejpam-6379	401	31	,	,	PUNCT
ejpam-6379	401	32	e	e	NOUN
ejpam-6379	401	33	,	,	PUNCT
ejpam-6379	401	34	i	i	PRON
ejpam-6379	401	35	,	,	PUNCT
ejpam-6379	401	36	h	h	PROPN
ejpam-6379	401	37	,	,	PUNCT
ejpam-6379	401	38	v	v	NOUN
ejpam-6379	401	39	,	,	PUNCT
ejpam-6379	401	40	r	r	NOUN
ejpam-6379	401	41	)	)	PUNCT
ejpam-6379	401	42	∈	∈	PROPN
ejpam-6379	401	43	d9	d9	PROPN
ejpam-6379	401	44	.	.	PUNCT
ejpam-6379	402	1	case	case	NOUN
ejpam-6379	402	2	10	10	NUM
ejpam-6379	402	3	.	.	PUNCT
ejpam-6379	403	1	if	if	SCONJ
ejpam-6379	403	2	(	(	PUNCT
ejpam-6379	403	3	s	s	X
ejpam-6379	403	4	,	,	PUNCT
ejpam-6379	403	5	e	e	NOUN
ejpam-6379	403	6	,	,	PUNCT
ejpam-6379	403	7	i	i	PRON
ejpam-6379	403	8	,	,	PUNCT
ejpam-6379	403	9	h	h	PROPN
ejpam-6379	403	10	,	,	PUNCT
ejpam-6379	403	11	v	v	NOUN
ejpam-6379	403	12	,	,	PUNCT
ejpam-6379	403	13	r	r	NOUN
ejpam-6379	403	14	)	)	PUNCT
ejpam-6379	403	15	∈	∈	PROPN
ejpam-6379	403	16	d10	d10	PROPN
ejpam-6379	403	17	,	,	PUNCT
ejpam-6379	403	18	then	then	ADV
ejpam-6379	403	19	lv	lv	PROPN
ejpam-6379	403	20	≤	≤	PUNCT
ejpam-6379	403	21	−µh	−µh	PROPN
ejpam-6379	403	22	+	+	CCONJ
ejpam-6379	403	23	c10	c10	VERB
ejpam-6379	403	24	≤	≤	PROPN
ejpam-6379	403	25	−	−	PROPN
ejpam-6379	403	26	µ	µ	PRON
ejpam-6379	403	27	ε4	ε4	NOUN
ejpam-6379	403	28	+	+	CCONJ
ejpam-6379	403	29	c10	c10	VERB
ejpam-6379	403	30	where	where	SCONJ
ejpam-6379	403	31	c10	c10	PROPN
ejpam-6379	403	32	=	=	NOUN
ejpam-6379	403	33	sup	sup	X
ejpam-6379	403	34	(	(	PUNCT
ejpam-6379	403	35	s	s	X
ejpam-6379	403	36	,	,	PUNCT
ejpam-6379	403	37	e	e	NOUN
ejpam-6379	403	38	,	,	PUNCT
ejpam-6379	403	39	i	i	PRON
ejpam-6379	403	40	,	,	PUNCT
ejpam-6379	403	41	h	h	NOUN
ejpam-6379	403	42	,	,	PUNCT
ejpam-6379	403	43	v	v	NOUN
ejpam-6379	403	44	,	,	PUNCT
ejpam-6379	403	45	r)∈r6	r)∈r6	ADV
ejpam-6379	403	46	+	+	CCONJ
ejpam-6379	403	47	{	{	PUNCT
ejpam-6379	403	48	−w5w6	−w5w6	NOUN
ejpam-6379	403	49	+	+	CCONJ
ejpam-6379	403	50	(	(	PUNCT
ejpam-6379	403	51	w5w1	w5w1	X
ejpam-6379	403	52	+	+	CCONJ
ejpam-6379	403	53	1	1	NUM
ejpam-6379	403	54	)	)	PUNCT
ejpam-6379	403	55	β(e	β(e	NOUN
ejpam-6379	404	1	+	+	PUNCT
ejpam-6379	404	2	i)(s	i)(s	NOUN
ejpam-6379	404	3	+	+	CCONJ
ejpam-6379	404	4	σv	σv	ADJ
ejpam-6379	404	5	)	)	PUNCT
ejpam-6379	404	6	sn	sn	PROPN
ejpam-6379	405	1	+	+	CCONJ
ejpam-6379	405	2	λ	λ	X
ejpam-6379	405	3	+3µ+	+3µ+	X
ejpam-6379	405	4	α+	α+	PUNCT
ejpam-6379	405	5	γ3	γ3	NOUN
ejpam-6379	405	6	+	+	CCONJ
ejpam-6379	405	7	ρ−	ρ−	PROPN
ejpam-6379	405	8	µ(s	µ(s	PUNCT
ejpam-6379	406	1	+	+	PUNCT
ejpam-6379	406	2	e	e	X
ejpam-6379	406	3	+	+	NOUN
ejpam-6379	406	4	i	i	PRON
ejpam-6379	406	5	+	+	X
ejpam-6379	406	6	v	v	X
ejpam-6379	406	7	+	+	NOUN
ejpam-6379	406	8	r)−	r)−	PROPN
ejpam-6379	406	9	σv	σv	INTJ
ejpam-6379	406	10	−	−	PROPN
ejpam-6379	407	1	λ	λ	PROPN
ejpam-6379	407	2	s	s	PROPN
ejpam-6379	407	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	407	4	+	+	PROPN
ejpam-6379	407	5	r	r	NOUN
ejpam-6379	407	6	)	)	PUNCT
ejpam-6379	407	7	s	s	PART
ejpam-6379	407	8	−	−	NOUN
ejpam-6379	407	9	ϵi	ϵi	NOUN
ejpam-6379	407	10	h	h	NOUN
ejpam-6379	407	11	−	−	NOUN
ejpam-6379	407	12	γ1e	γ1e	ADP
ejpam-6379	408	1	r	r	NOUN
ejpam-6379	408	2	−	−	NOUN
ejpam-6379	408	3	γ2i	γ2i	NOUN
ejpam-6379	408	4	r	r	NOUN
ejpam-6379	408	5	−	−	NOUN
ejpam-6379	408	6	γ3h	γ3h	NOUN
ejpam-6379	408	7	r	r	NOUN
ejpam-6379	408	8	+	+	NOUN
ejpam-6379	408	9	δ21	δ21	NOUN
ejpam-6379	408	10	+	+	NUM
ejpam-6379	408	11	δ24	δ24	NOUN
ejpam-6379	408	12	+	+	CCONJ
ejpam-6379	408	13	δ26	δ26	VERB
ejpam-6379	408	14	2	2	NUM
ejpam-6379	408	15	}	}	PUNCT
ejpam-6379	408	16	according	accord	VERB
ejpam-6379	408	17	to	to	ADP
ejpam-6379	408	18	(	(	PUNCT
ejpam-6379	408	19	26	26	NUM
ejpam-6379	408	20	)	)	PUNCT
ejpam-6379	408	21	,	,	PUNCT
ejpam-6379	408	22	we	we	PRON
ejpam-6379	408	23	have	have	VERB
ejpam-6379	408	24	lv	lv	PROPN
ejpam-6379	408	25	≤	≤	NUM
ejpam-6379	408	26	−j	−j	NOUN
ejpam-6379	408	27	for	for	ADP
ejpam-6379	408	28	any	any	DET
ejpam-6379	408	29	(	(	PUNCT
ejpam-6379	408	30	s	s	X
ejpam-6379	408	31	,	,	PUNCT
ejpam-6379	408	32	e	e	NOUN
ejpam-6379	408	33	,	,	PUNCT
ejpam-6379	408	34	i	i	PRON
ejpam-6379	408	35	,	,	PUNCT
ejpam-6379	408	36	h	h	PROPN
ejpam-6379	408	37	,	,	PUNCT
ejpam-6379	408	38	v	v	NOUN
ejpam-6379	408	39	,	,	PUNCT
ejpam-6379	408	40	r	r	NOUN
ejpam-6379	408	41	)	)	PUNCT
ejpam-6379	408	42	∈	∈	PROPN
ejpam-6379	408	43	d10	d10	PROPN
ejpam-6379	408	44	.	.	PUNCT
ejpam-6379	409	1	case	case	NOUN
ejpam-6379	409	2	11	11	NUM
ejpam-6379	409	3	.	.	PUNCT
ejpam-6379	410	1	if	if	SCONJ
ejpam-6379	410	2	(	(	PUNCT
ejpam-6379	410	3	s	s	X
ejpam-6379	410	4	,	,	PUNCT
ejpam-6379	410	5	e	e	NOUN
ejpam-6379	410	6	,	,	PUNCT
ejpam-6379	410	7	i	i	PRON
ejpam-6379	410	8	,	,	PUNCT
ejpam-6379	410	9	h	h	PROPN
ejpam-6379	410	10	,	,	PUNCT
ejpam-6379	410	11	v	v	NOUN
ejpam-6379	410	12	,	,	PUNCT
ejpam-6379	410	13	r	r	NOUN
ejpam-6379	410	14	)	)	PUNCT
ejpam-6379	410	15	∈	∈	PROPN
ejpam-6379	410	16	d11	d11	NOUN
ejpam-6379	410	17	,	,	PUNCT
ejpam-6379	410	18	then	then	ADV
ejpam-6379	410	19	lv	lv	INTJ
ejpam-6379	410	20	≤	≤	NUM
ejpam-6379	410	21	−µv	−µv	NOUN
ejpam-6379	410	22	−	−	PUNCT
ejpam-6379	411	1	σv	σv	INTJ
ejpam-6379	412	1	+	+	CCONJ
ejpam-6379	412	2	c11	c11	NOUN
ejpam-6379	412	3	≤	≤	NUM
ejpam-6379	412	4	−(µ+	−(µ+	PROPN
ejpam-6379	412	5	σ	σ	PROPN
ejpam-6379	412	6	)	)	PUNCT
ejpam-6379	412	7	ε5	ε5	PROPN
ejpam-6379	412	8	+	+	CCONJ
ejpam-6379	412	9	c11	c11	NOUN
ejpam-6379	413	1	where	where	SCONJ
ejpam-6379	413	2	c11	c11	NOUN
ejpam-6379	413	3	=	=	NOUN
ejpam-6379	413	4	sup	sup	NOUN
ejpam-6379	413	5	(	(	PUNCT
ejpam-6379	413	6	s	s	X
ejpam-6379	413	7	,	,	PUNCT
ejpam-6379	413	8	e	e	NOUN
ejpam-6379	413	9	,	,	PUNCT
ejpam-6379	413	10	i	i	PRON
ejpam-6379	413	11	,	,	PUNCT
ejpam-6379	413	12	h	h	NOUN
ejpam-6379	413	13	,	,	PUNCT
ejpam-6379	413	14	v	v	NOUN
ejpam-6379	413	15	,	,	PUNCT
ejpam-6379	413	16	r)∈r6	r)∈r6	ADV
ejpam-6379	413	17	+	+	CCONJ
ejpam-6379	413	18	{	{	PUNCT
ejpam-6379	413	19	−w5w6	−w5w6	NOUN
ejpam-6379	413	20	+	+	CCONJ
ejpam-6379	413	21	(	(	PUNCT
ejpam-6379	413	22	w5w1	w5w1	X
ejpam-6379	413	23	+	+	CCONJ
ejpam-6379	413	24	1	1	NUM
ejpam-6379	413	25	)	)	PUNCT
ejpam-6379	413	26	β(e	β(e	NOUN
ejpam-6379	413	27	+	+	PUNCT
ejpam-6379	413	28	i)(s	i)(s	NOUN
ejpam-6379	413	29	+	+	CCONJ
ejpam-6379	413	30	σv	σv	ADJ
ejpam-6379	413	31	)	)	PUNCT
ejpam-6379	413	32	sn	sn	PROPN
ejpam-6379	414	1	+	+	CCONJ
ejpam-6379	414	2	λ	λ	X
ejpam-6379	414	3	+3µ+	+3µ+	X
ejpam-6379	414	4	α+	α+	PUNCT
ejpam-6379	414	5	γ3	γ3	NOUN
ejpam-6379	414	6	+	+	CCONJ
ejpam-6379	414	7	ρ−	ρ−	PROPN
ejpam-6379	414	8	µ(s	µ(s	PUNCT
ejpam-6379	415	1	+	+	PUNCT
ejpam-6379	415	2	e	e	X
ejpam-6379	415	3	+	+	CCONJ
ejpam-6379	415	4	i	i	PRON
ejpam-6379	415	5	+	+	NOUN
ejpam-6379	415	6	h	h	NOUN
ejpam-6379	415	7	+	+	ADJ
ejpam-6379	415	8	r)−	r)−	PROPN
ejpam-6379	415	9	ρ(v	ρ(v	PROPN
ejpam-6379	415	10	+	+	PROPN
ejpam-6379	415	11	r	r	NOUN
ejpam-6379	415	12	)	)	PUNCT
ejpam-6379	415	13	s	s	VERB
ejpam-6379	415	14	−λ	−λ	PROPN
ejpam-6379	415	15	s	s	PART
ejpam-6379	415	16	−	−	PROPN
ejpam-6379	415	17	ϵi	ϵi	NOUN
ejpam-6379	415	18	h	h	NOUN
ejpam-6379	415	19	−	−	NOUN
ejpam-6379	415	20	γ1e	γ1e	ADP
ejpam-6379	416	1	r	r	NOUN
ejpam-6379	416	2	−	−	NOUN
ejpam-6379	416	3	γ2i	γ2i	NOUN
ejpam-6379	416	4	r	r	NOUN
ejpam-6379	416	5	−	−	NOUN
ejpam-6379	416	6	γ3h	γ3h	NOUN
ejpam-6379	416	7	r	r	NOUN
ejpam-6379	416	8	+	+	NOUN
ejpam-6379	416	9	δ21	δ21	NOUN
ejpam-6379	416	10	+	+	NUM
ejpam-6379	416	11	δ24	δ24	NOUN
ejpam-6379	416	12	+	+	CCONJ
ejpam-6379	416	13	δ26	δ26	VERB
ejpam-6379	416	14	2	2	NUM
ejpam-6379	416	15	}	}	PUNCT
ejpam-6379	416	16	r.	r.	PROPN
ejpam-6379	416	17	saadeh	saadeh	PROPN
ejpam-6379	416	18	et	et	PROPN
ejpam-6379	416	19	al	al	PROPN
ejpam-6379	416	20	.	.	PUNCT
ejpam-6379	416	21	/	/	SYM
ejpam-6379	416	22	eur	eur	PROPN
ejpam-6379	416	23	.	.	PUNCT
ejpam-6379	417	1	j.	j.	PROPN
ejpam-6379	417	2	pure	pure	PROPN
ejpam-6379	417	3	appl	appl	PROPN
ejpam-6379	417	4	.	.	PROPN
ejpam-6379	417	5	math	math	PROPN
ejpam-6379	417	6	,	,	PUNCT
ejpam-6379	417	7	18	18	NUM
ejpam-6379	417	8	(	(	PUNCT
ejpam-6379	417	9	3	3	NUM
ejpam-6379	417	10	)	)	PUNCT
ejpam-6379	417	11	(	(	PUNCT
ejpam-6379	417	12	2025	2025	NUM
ejpam-6379	417	13	)	)	PUNCT
ejpam-6379	417	14	,	,	PUNCT
ejpam-6379	417	15	6379	6379	NUM
ejpam-6379	417	16	19	19	NUM
ejpam-6379	417	17	of	of	ADP
ejpam-6379	417	18	34	34	NUM
ejpam-6379	417	19	according	accord	VERB
ejpam-6379	417	20	to	to	ADP
ejpam-6379	417	21	(	(	PUNCT
ejpam-6379	417	22	27	27	NUM
ejpam-6379	417	23	)	)	PUNCT
ejpam-6379	418	1	,	,	PUNCT
ejpam-6379	418	2	we	we	PRON
ejpam-6379	418	3	have	have	VERB
ejpam-6379	418	4	lv	lv	PROPN
ejpam-6379	418	5	≤	≤	NUM
ejpam-6379	418	6	−j	−j	NOUN
ejpam-6379	418	7	for	for	ADP
ejpam-6379	418	8	any	any	DET
ejpam-6379	418	9	(	(	PUNCT
ejpam-6379	418	10	s	s	X
ejpam-6379	418	11	,	,	PUNCT
ejpam-6379	418	12	e	e	NOUN
ejpam-6379	418	13	,	,	PUNCT
ejpam-6379	418	14	i	i	PRON
ejpam-6379	418	15	,	,	PUNCT
ejpam-6379	418	16	h	h	PROPN
ejpam-6379	418	17	,	,	PUNCT
ejpam-6379	418	18	v	v	NOUN
ejpam-6379	418	19	,	,	PUNCT
ejpam-6379	418	20	r	r	NOUN
ejpam-6379	418	21	)	)	PUNCT
ejpam-6379	418	22	∈	∈	PROPN
ejpam-6379	418	23	d11	d11	PROPN
ejpam-6379	418	24	.	.	PUNCT
ejpam-6379	419	1	case	case	NOUN
ejpam-6379	419	2	12	12	NUM
ejpam-6379	419	3	.	.	PUNCT
ejpam-6379	420	1	if	if	SCONJ
ejpam-6379	420	2	(	(	PUNCT
ejpam-6379	420	3	s	s	X
ejpam-6379	420	4	,	,	PUNCT
ejpam-6379	420	5	e	e	NOUN
ejpam-6379	420	6	,	,	PUNCT
ejpam-6379	420	7	i	i	PRON
ejpam-6379	420	8	,	,	PUNCT
ejpam-6379	420	9	h	h	PROPN
ejpam-6379	420	10	,	,	PUNCT
ejpam-6379	420	11	v	v	NOUN
ejpam-6379	420	12	,	,	PUNCT
ejpam-6379	420	13	r	r	NOUN
ejpam-6379	420	14	)	)	PUNCT
ejpam-6379	420	15	∈	∈	PROPN
ejpam-6379	420	16	d12	d12	NOUN
ejpam-6379	420	17	,	,	PUNCT
ejpam-6379	420	18	then	then	ADV
ejpam-6379	420	19	lv	lv	PROPN
ejpam-6379	420	20	≤	≤	PROPN
ejpam-6379	420	21	−µr+	−µr+	PROPN
ejpam-6379	420	22	c12	c12	NOUN
ejpam-6379	420	23	≤	≤	PROPN
ejpam-6379	420	24	−	−	PROPN
ejpam-6379	420	25	µ	µ	PRON
ejpam-6379	420	26	ε6	ε6	NOUN
ejpam-6379	420	27	+	+	CCONJ
ejpam-6379	420	28	c12	c12	PROPN
ejpam-6379	420	29	where	where	SCONJ
ejpam-6379	420	30	c12	c12	PROPN
ejpam-6379	420	31	=	=	SYM
ejpam-6379	420	32	sup	sup	NOUN
ejpam-6379	420	33	(	(	PUNCT
ejpam-6379	420	34	s	s	X
ejpam-6379	420	35	,	,	PUNCT
ejpam-6379	420	36	e	e	NOUN
ejpam-6379	420	37	,	,	PUNCT
ejpam-6379	420	38	i	i	PRON
ejpam-6379	420	39	,	,	PUNCT
ejpam-6379	420	40	h	h	NOUN
ejpam-6379	420	41	,	,	PUNCT
ejpam-6379	420	42	v	v	NOUN
ejpam-6379	420	43	,	,	PUNCT
ejpam-6379	420	44	r)∈r6	r)∈r6	ADV
ejpam-6379	420	45	+	+	CCONJ
ejpam-6379	420	46	{	{	PUNCT
ejpam-6379	420	47	−w5w6	−w5w6	NOUN
ejpam-6379	420	48	+	+	CCONJ
ejpam-6379	420	49	(	(	PUNCT
ejpam-6379	420	50	w5w1	w5w1	X
ejpam-6379	420	51	+	+	CCONJ
ejpam-6379	420	52	1	1	NUM
ejpam-6379	420	53	)	)	PUNCT
ejpam-6379	420	54	β(e	β(e	NOUN
ejpam-6379	421	1	+	+	PUNCT
ejpam-6379	421	2	i)(s	i)(s	NOUN
ejpam-6379	421	3	+	+	CCONJ
ejpam-6379	421	4	σv	σv	ADJ
ejpam-6379	421	5	)	)	PUNCT
ejpam-6379	421	6	sn	sn	PROPN
ejpam-6379	422	1	+	+	CCONJ
ejpam-6379	422	2	λ	λ	X
ejpam-6379	422	3	+3µ+	+3µ+	X
ejpam-6379	422	4	α+	α+	PUNCT
ejpam-6379	422	5	γ3	γ3	NOUN
ejpam-6379	422	6	+	+	CCONJ
ejpam-6379	422	7	ρ−	ρ−	PROPN
ejpam-6379	422	8	µ(s	µ(s	PUNCT
ejpam-6379	423	1	+	+	PUNCT
ejpam-6379	423	2	e	e	X
ejpam-6379	423	3	+	+	CCONJ
ejpam-6379	423	4	i	i	PRON
ejpam-6379	423	5	+	+	NOUN
ejpam-6379	423	6	h	h	NOUN
ejpam-6379	423	7	+	+	X
ejpam-6379	423	8	v	v	NOUN
ejpam-6379	423	9	)	)	PUNCT
ejpam-6379	423	10	−	−	NOUN
ejpam-6379	424	1	σv	σv	INTJ
ejpam-6379	424	2	−	−	PROPN
ejpam-6379	425	1	λ	λ	PROPN
ejpam-6379	425	2	s	s	PROPN
ejpam-6379	425	3	−ρ(v	−ρ(v	PROPN
ejpam-6379	425	4	+	+	PROPN
ejpam-6379	425	5	r	r	NOUN
ejpam-6379	425	6	)	)	PUNCT
ejpam-6379	425	7	s	s	PART
ejpam-6379	425	8	−	−	NOUN
ejpam-6379	425	9	ϵi	ϵi	NOUN
ejpam-6379	425	10	h	h	NOUN
ejpam-6379	425	11	−	−	NOUN
ejpam-6379	425	12	γ1e	γ1e	ADP
ejpam-6379	426	1	r	r	NOUN
ejpam-6379	426	2	−	−	NOUN
ejpam-6379	426	3	γ2i	γ2i	NOUN
ejpam-6379	426	4	r	r	NOUN
ejpam-6379	426	5	−	−	NOUN
ejpam-6379	426	6	γ3h	γ3h	NOUN
ejpam-6379	426	7	r	r	NOUN
ejpam-6379	426	8	+	+	NOUN
ejpam-6379	426	9	δ21	δ21	NOUN
ejpam-6379	426	10	+	+	NUM
ejpam-6379	426	11	δ24	δ24	NOUN
ejpam-6379	426	12	+	+	CCONJ
ejpam-6379	426	13	δ26	δ26	VERB
ejpam-6379	426	14	2	2	NUM
ejpam-6379	426	15	}	}	PUNCT
ejpam-6379	426	16	according	accord	VERB
ejpam-6379	426	17	to	to	ADP
ejpam-6379	426	18	(	(	PUNCT
ejpam-6379	426	19	28	28	NUM
ejpam-6379	426	20	)	)	PUNCT
ejpam-6379	426	21	,	,	PUNCT
ejpam-6379	426	22	we	we	PRON
ejpam-6379	426	23	have	have	VERB
ejpam-6379	426	24	lv	lv	PROPN
ejpam-6379	426	25	≤	≤	NUM
ejpam-6379	426	26	−j	−j	NOUN
ejpam-6379	426	27	for	for	ADP
ejpam-6379	426	28	any	any	DET
ejpam-6379	426	29	(	(	PUNCT
ejpam-6379	426	30	s	s	X
ejpam-6379	426	31	,	,	PUNCT
ejpam-6379	426	32	e	e	NOUN
ejpam-6379	426	33	,	,	PUNCT
ejpam-6379	426	34	i	i	PRON
ejpam-6379	426	35	,	,	PUNCT
ejpam-6379	426	36	h	h	PROPN
ejpam-6379	426	37	,	,	PUNCT
ejpam-6379	426	38	v	v	NOUN
ejpam-6379	426	39	,	,	PUNCT
ejpam-6379	426	40	r	r	NOUN
ejpam-6379	426	41	)	)	PUNCT
ejpam-6379	426	42	∈	∈	PROPN
ejpam-6379	426	43	d12	d12	NOUN
ejpam-6379	426	44	.	.	PUNCT
ejpam-6379	427	1	obviously	obviously	ADV
ejpam-6379	427	2	,	,	PUNCT
ejpam-6379	427	3	from	from	ADP
ejpam-6379	427	4	equations	equation	NOUN
ejpam-6379	427	5	(	(	PUNCT
ejpam-6379	427	6	17)–(28	17)–(28	NUM
ejpam-6379	427	7	)	)	PUNCT
ejpam-6379	427	8	,	,	PUNCT
ejpam-6379	427	9	one	one	PRON
ejpam-6379	427	10	can	can	AUX
ejpam-6379	427	11	see	see	VERB
ejpam-6379	427	12	for	for	ADP
ejpam-6379	427	13	a	a	DET
ejpam-6379	427	14	sufficiently	sufficiently	ADV
ejpam-6379	427	15	small	small	ADJ
ejpam-6379	427	16	εi	εi	VERB
ejpam-6379	427	17	that	that	PRON
ejpam-6379	427	18	lv(s	lv(s	ADJ
ejpam-6379	427	19	,	,	PUNCT
ejpam-6379	427	20	e	e	NOUN
ejpam-6379	427	21	,	,	PUNCT
ejpam-6379	427	22	i	i	PRON
ejpam-6379	427	23	,	,	PUNCT
ejpam-6379	427	24	h	h	PROPN
ejpam-6379	427	25	,	,	PUNCT
ejpam-6379	427	26	v	v	NOUN
ejpam-6379	427	27	,	,	PUNCT
ejpam-6379	427	28	r	r	NOUN
ejpam-6379	427	29	)	)	PUNCT
ejpam-6379	427	30	≤	≤	NOUN
ejpam-6379	427	31	−j	−j	NOUN
ejpam-6379	427	32	for	for	ADP
ejpam-6379	427	33	all	all	DET
ejpam-6379	427	34	(	(	PUNCT
ejpam-6379	427	35	s	s	X
ejpam-6379	427	36	,	,	PUNCT
ejpam-6379	427	37	e	e	NOUN
ejpam-6379	427	38	,	,	PUNCT
ejpam-6379	427	39	i	i	PRON
ejpam-6379	427	40	,	,	PUNCT
ejpam-6379	427	41	h	h	PROPN
ejpam-6379	427	42	,	,	PUNCT
ejpam-6379	427	43	v	v	NOUN
ejpam-6379	427	44	,	,	PUNCT
ejpam-6379	427	45	r	r	NOUN
ejpam-6379	427	46	)	)	PUNCT
ejpam-6379	427	47	∈	∈	PROPN
ejpam-6379	427	48	r6	r6	NOUN
ejpam-6379	427	49	+	+	NOUN
ejpam-6379	427	50	\d	\d	NOUN
ejpam-6379	427	51	.	.	PUNCT
ejpam-6379	428	1	consequently	consequently	ADV
ejpam-6379	428	2	,	,	PUNCT
ejpam-6379	428	3	condition	condition	NOUN
ejpam-6379	428	4	two	two	NUM
ejpam-6379	428	5	in	in	ADP
ejpam-6379	428	6	lemma	lemma	PROPN
ejpam-6379	428	7	4.1	4.1	NUM
ejpam-6379	428	8	in	in	ADP
ejpam-6379	428	9	[	[	X
ejpam-6379	428	10	41	41	NUM
ejpam-6379	428	11	]	]	PUNCT
ejpam-6379	428	12	is	be	AUX
ejpam-6379	428	13	satisfied	satisfied	ADJ
ejpam-6379	428	14	.	.	PUNCT
ejpam-6379	429	1	this	this	PRON
ejpam-6379	429	2	show	show	VERB
ejpam-6379	429	3	that	that	SCONJ
ejpam-6379	429	4	stochastic	stochastic	ADJ
ejpam-6379	429	5	model	model	NOUN
ejpam-6379	429	6	(	(	PUNCT
ejpam-6379	429	7	2	2	NUM
ejpam-6379	429	8	)	)	PUNCT
ejpam-6379	429	9	is	be	AUX
ejpam-6379	429	10	ergodic	ergodic	ADJ
ejpam-6379	429	11	and	and	CCONJ
ejpam-6379	429	12	has	have	VERB
ejpam-6379	429	13	a	a	DET
ejpam-6379	429	14	unique	unique	ADJ
ejpam-6379	429	15	stationary	stationary	ADJ
ejpam-6379	429	16	distribution	distribution	NOUN
ejpam-6379	429	17	.	.	PUNCT
ejpam-6379	430	1	4	4	X
ejpam-6379	430	2	.	.	X
ejpam-6379	430	3	numerical	numerical	ADJ
ejpam-6379	430	4	simulations	simulation	NOUN
ejpam-6379	430	5	this	this	DET
ejpam-6379	430	6	section	section	NOUN
ejpam-6379	430	7	concerns	concern	VERB
ejpam-6379	430	8	the	the	DET
ejpam-6379	430	9	estimation	estimation	NOUN
ejpam-6379	430	10	of	of	ADP
ejpam-6379	430	11	parameters	parameter	NOUN
ejpam-6379	430	12	for	for	ADP
ejpam-6379	430	13	the	the	DET
ejpam-6379	430	14	deterministic	deterministic	ADJ
ejpam-6379	430	15	model	model	NOUN
ejpam-6379	430	16	(	(	PUNCT
ejpam-6379	430	17	1	1	NUM
ejpam-6379	430	18	)	)	PUNCT
ejpam-6379	430	19	through	through	ADP
ejpam-6379	430	20	weekly	weekly	ADJ
ejpam-6379	430	21	data	datum	NOUN
ejpam-6379	430	22	of	of	ADP
ejpam-6379	430	23	reported	report	VERB
ejpam-6379	430	24	seasonal	seasonal	ADJ
ejpam-6379	430	25	influenza	influenza	NOUN
ejpam-6379	430	26	cases	case	NOUN
ejpam-6379	430	27	from	from	ADP
ejpam-6379	430	28	saudi	saudi	PROPN
ejpam-6379	430	29	arabia	arabia	PROPN
ejpam-6379	430	30	in	in	ADP
ejpam-6379	430	31	2022	2022	NUM
ejpam-6379	430	32	.	.	PUNCT
ejpam-6379	431	1	the	the	DET
ejpam-6379	431	2	data	datum	NOUN
ejpam-6379	431	3	were	be	AUX
ejpam-6379	431	4	obtained	obtain	VERB
ejpam-6379	431	5	from	from	ADP
ejpam-6379	431	6	the	the	DET
ejpam-6379	431	7	official	official	NOUN
ejpam-6379	431	8	who	who	PRON
ejpam-6379	431	9	database	database	VERB
ejpam-6379	431	10	for	for	ADP
ejpam-6379	431	11	influenza	influenza	NOUN
ejpam-6379	431	12	surveillance[42	surveillance[42	NOUN
ejpam-6379	431	13	]	]	PUNCT
ejpam-6379	431	14	.	.	PUNCT
ejpam-6379	432	1	parameters	parameter	NOUN
ejpam-6379	432	2	have	have	AUX
ejpam-6379	432	3	been	be	AUX
ejpam-6379	432	4	estimated	estimate	VERB
ejpam-6379	432	5	via	via	ADP
ejpam-6379	432	6	a	a	DET
ejpam-6379	432	7	bayesian	bayesian	NOUN
ejpam-6379	432	8	inference	inference	NOUN
ejpam-6379	432	9	approach	approach	NOUN
ejpam-6379	432	10	and	and	CCONJ
ejpam-6379	432	11	the	the	DET
ejpam-6379	432	12	monte	monte	PROPN
ejpam-6379	432	13	carlo	carlo	PROPN
ejpam-6379	432	14	markov	markov	PROPN
ejpam-6379	432	15	chain	chain	NOUN
ejpam-6379	432	16	methodology	methodology	NOUN
ejpam-6379	433	1	[	[	X
ejpam-6379	433	2	43–45	43–45	NUM
ejpam-6379	433	3	]	]	PUNCT
ejpam-6379	433	4	.	.	PUNCT
ejpam-6379	434	1	this	this	PRON
ejpam-6379	434	2	facilitates	facilitate	VERB
ejpam-6379	434	3	the	the	DET
ejpam-6379	434	4	assessment	assessment	NOUN
ejpam-6379	434	5	of	of	ADP
ejpam-6379	434	6	parameter	parameter	NOUN
ejpam-6379	434	7	uncertainty	uncertainty	NOUN
ejpam-6379	434	8	while	while	SCONJ
ejpam-6379	434	9	calibrating	calibrate	VERB
ejpam-6379	434	10	the	the	DET
ejpam-6379	434	11	model	model	NOUN
ejpam-6379	434	12	to	to	ADP
ejpam-6379	434	13	the	the	DET
ejpam-6379	434	14	observed	observe	VERB
ejpam-6379	434	15	time	time	NOUN
ejpam-6379	434	16	series	series	PROPN
ejpam-6379	434	17	data	data	PROPN
ejpam-6379	434	18	.	.	PUNCT
ejpam-6379	435	1	r.	r.	PROPN
ejpam-6379	435	2	saadeh	saadeh	PROPN
ejpam-6379	435	3	et	et	PROPN
ejpam-6379	435	4	al	al	PROPN
ejpam-6379	435	5	.	.	PUNCT
ejpam-6379	435	6	/	/	SYM
ejpam-6379	435	7	eur	eur	PROPN
ejpam-6379	435	8	.	.	PUNCT
ejpam-6379	436	1	j.	j.	PROPN
ejpam-6379	436	2	pure	pure	PROPN
ejpam-6379	436	3	appl	appl	PROPN
ejpam-6379	436	4	.	.	PROPN
ejpam-6379	436	5	math	math	PROPN
ejpam-6379	436	6	,	,	PUNCT
ejpam-6379	436	7	18	18	NUM
ejpam-6379	436	8	(	(	PUNCT
ejpam-6379	436	9	3	3	NUM
ejpam-6379	436	10	)	)	PUNCT
ejpam-6379	436	11	(	(	PUNCT
ejpam-6379	436	12	2025	2025	NUM
ejpam-6379	436	13	)	)	PUNCT
ejpam-6379	436	14	,	,	PUNCT
ejpam-6379	436	15	6379	6379	NUM
ejpam-6379	436	16	20	20	NUM
ejpam-6379	436	17	of	of	ADP
ejpam-6379	436	18	34	34	NUM
ejpam-6379	436	19	table	table	NOUN
ejpam-6379	436	20	2	2	NUM
ejpam-6379	436	21	:	:	PUNCT
ejpam-6379	436	22	estimated	estimate	VERB
ejpam-6379	436	23	values	value	NOUN
ejpam-6379	436	24	from	from	ADP
ejpam-6379	436	25	the	the	DET
ejpam-6379	436	26	data	datum	NOUN
ejpam-6379	436	27	influenza	influenza	NOUN
ejpam-6379	436	28	parameters	parameter	NOUN
ejpam-6379	436	29	estimated	estimate	VERB
ejpam-6379	436	30	value	value	NOUN
ejpam-6379	436	31	reference	reference	NOUN
ejpam-6379	436	32	λ	λ	PROPN
ejpam-6379	436	33	100	100	NUM
ejpam-6379	436	34	fitted	fit	VERB
ejpam-6379	436	35	µ	µ	PRON
ejpam-6379	436	36	0.01246293	0.01246293	NUM
ejpam-6379	436	37	fitted	fit	VERB
ejpam-6379	436	38	β	β	X
ejpam-6379	436	39	0.36983069	0.36983069	NUM
ejpam-6379	436	40	fitted	fit	VERB
ejpam-6379	436	41	α	α	NOUN
ejpam-6379	436	42	0.18302843	0.18302843	NUM
ejpam-6379	436	43	fitted	fit	VERB
ejpam-6379	436	44	σ	σ	NOUN
ejpam-6379	436	45	0.89689644	0.89689644	NUM
ejpam-6379	436	46	fitted	fit	VERB
ejpam-6379	436	47	ϵ	ϵ	ADP
ejpam-6379	436	48	0.69978458	0.69978458	NUM
ejpam-6379	436	49	fitted	fit	VERB
ejpam-6379	436	50	γ1	γ1	NOUN
ejpam-6379	436	51	0.16348621	0.16348621	NUM
ejpam-6379	436	52	fitted	fit	VERB
ejpam-6379	436	53	γ2	γ2	NOUN
ejpam-6379	436	54	0.49999414	0.49999414	NUM
ejpam-6379	436	55	fitted	fit	VERB
ejpam-6379	436	56	γ3	γ3	NOUN
ejpam-6379	436	57	0.18814877	0.18814877	NUM
ejpam-6379	436	58	fitted	fit	VERB
ejpam-6379	436	59	ω	ω	PROPN
ejpam-6379	436	60	0.10000064	0.10000064	NUM
ejpam-6379	436	61	fitted	fit	VERB
ejpam-6379	436	62	ρ	ρ	NOUN
ejpam-6379	436	63	0.00038610	0.00038610	NUM
ejpam-6379	436	64	fitted	fit	VERB
ejpam-6379	436	65	0	0	NUM
ejpam-6379	436	66	5	5	NUM
ejpam-6379	436	67	10	10	NUM
ejpam-6379	436	68	15	15	NUM
ejpam-6379	436	69	20	20	NUM
ejpam-6379	436	70	25	25	NUM
ejpam-6379	436	71	30	30	NUM
ejpam-6379	436	72	35	35	NUM
ejpam-6379	436	73	40	40	NUM
ejpam-6379	436	74	45	45	NUM
ejpam-6379	436	75	50	50	NUM
ejpam-6379	436	76	week	week	NOUN
ejpam-6379	436	77	in	in	ADP
ejpam-6379	436	78	year	year	NOUN
ejpam-6379	436	79	2022	2022	NUM
ejpam-6379	436	80	0	0	NUM
ejpam-6379	436	81	20	20	NUM
ejpam-6379	436	82	40	40	NUM
ejpam-6379	436	83	60	60	NUM
ejpam-6379	436	84	80	80	NUM
ejpam-6379	436	85	100	100	NUM
ejpam-6379	436	86	120	120	NUM
ejpam-6379	436	87	w	w	NOUN
ejpam-6379	436	88	ee	ee	PROPN
ejpam-6379	436	89	kl	kl	PROPN
ejpam-6379	436	90	y	y	PROPN
ejpam-6379	436	91	in	in	ADP
ejpam-6379	436	92	fe	fe	PROPN
ejpam-6379	436	93	ct	ct	PROPN
ejpam-6379	436	94	ed	ed	PROPN
ejpam-6379	436	95	c	c	PROPN
ejpam-6379	436	96	as	as	ADP
ejpam-6379	436	97	es	es	ADP
ejpam-6379	436	98	observed	observe	VERB
ejpam-6379	436	99	i(t	i(t	NOUN
ejpam-6379	436	100	)	)	PUNCT
ejpam-6379	436	101	fitted	fit	VERB
ejpam-6379	436	102	i(t	i(t	PROPN
ejpam-6379	436	103	)	)	PUNCT
ejpam-6379	436	104	figure	figure	NOUN
ejpam-6379	436	105	1	1	NUM
ejpam-6379	436	106	:	:	PUNCT
ejpam-6379	436	107	model	model	NOUN
ejpam-6379	436	108	fit	fit	ADJ
ejpam-6379	436	109	to	to	ADP
ejpam-6379	436	110	weekly	weekly	ADJ
ejpam-6379	436	111	influenza	influenza	NOUN
ejpam-6379	436	112	cases	case	NOUN
ejpam-6379	436	113	in	in	ADP
ejpam-6379	436	114	saudi	saudi	PROPN
ejpam-6379	436	115	arabia	arabia	PROPN
ejpam-6379	436	116	,	,	PUNCT
ejpam-6379	436	117	2022	2022	NUM
ejpam-6379	436	118	.	.	PUNCT
ejpam-6379	437	1	the	the	DET
ejpam-6379	437	2	fit	fit	NOUN
ejpam-6379	437	3	of	of	ADP
ejpam-6379	437	4	the	the	DET
ejpam-6379	437	5	deterministic	deterministic	ADJ
ejpam-6379	437	6	model	model	NOUN
ejpam-6379	437	7	model(1	model(1	NOUN
ejpam-6379	437	8	)	)	PUNCT
ejpam-6379	437	9	to	to	ADP
ejpam-6379	437	10	the	the	DET
ejpam-6379	437	11	weekly	weekly	ADJ
ejpam-6379	437	12	reported	report	VERB
ejpam-6379	437	13	influenza	influenza	ADJ
ejpam-6379	437	14	cases	case	NOUN
ejpam-6379	437	15	in	in	ADP
ejpam-6379	437	16	saudi	saudi	PROPN
ejpam-6379	437	17	arabia	arabia	PROPN
ejpam-6379	437	18	for	for	ADP
ejpam-6379	437	19	the	the	DET
ejpam-6379	437	20	year	year	NOUN
ejpam-6379	437	21	2022	2022	NUM
ejpam-6379	437	22	is	be	AUX
ejpam-6379	437	23	shown	show	VERB
ejpam-6379	437	24	in	in	ADP
ejpam-6379	437	25	figure1	figure1	PROPN
ejpam-6379	437	26	.	.	PUNCT
ejpam-6379	438	1	the	the	DET
ejpam-6379	438	2	observed	observed	ADJ
ejpam-6379	438	3	data	data	NOUN
ejpam-6379	438	4	spots	spot	NOUN
ejpam-6379	438	5	are	be	AUX
ejpam-6379	438	6	marked	mark	VERB
ejpam-6379	438	7	by	by	ADP
ejpam-6379	438	8	red	red	ADJ
ejpam-6379	438	9	dots	dot	NOUN
ejpam-6379	438	10	,	,	PUNCT
ejpam-6379	438	11	and	and	CCONJ
ejpam-6379	438	12	the	the	DET
ejpam-6379	438	13	model	model	NOUN
ejpam-6379	438	14	trend	trend	NOUN
ejpam-6379	438	15	is	be	AUX
ejpam-6379	438	16	drawn	draw	VERB
ejpam-6379	438	17	as	as	ADP
ejpam-6379	438	18	the	the	DET
ejpam-6379	438	19	blue	blue	ADJ
ejpam-6379	438	20	curve	curve	NOUN
ejpam-6379	438	21	.	.	PUNCT
ejpam-6379	439	1	the	the	PRON
ejpam-6379	439	2	.	.	PUNCT
ejpam-6379	440	1	but	but	CCONJ
ejpam-6379	440	2	it	it	PRON
ejpam-6379	440	3	does	do	AUX
ejpam-6379	440	4	capture	capture	VERB
ejpam-6379	440	5	very	very	ADV
ejpam-6379	440	6	well	well	ADV
ejpam-6379	440	7	the	the	DET
ejpam-6379	440	8	epidemic	epidemic	NOUN
ejpam-6379	440	9	nature	nature	NOUN
ejpam-6379	440	10	.	.	PUNCT
ejpam-6379	441	1	the	the	DET
ejpam-6379	441	2	seasonal	seasonal	ADJ
ejpam-6379	441	3	peak	peak	NOUN
ejpam-6379	441	4	(	(	PUNCT
ejpam-6379	441	5	height	height	NOUN
ejpam-6379	441	6	during	during	ADP
ejpam-6379	441	7	epidemiological	epidemiological	ADJ
ejpam-6379	441	8	week	week	NOUN
ejpam-6379	441	9	30	30	NUM
ejpam-6379	441	10	)	)	PUNCT
ejpam-6379	441	11	appears	appear	VERB
ejpam-6379	441	12	well	well	ADV
ejpam-6379	441	13	and	and	CCONJ
ejpam-6379	441	14	is	be	AUX
ejpam-6379	441	15	well	well	ADV
ejpam-6379	441	16	described	describe	VERB
ejpam-6379	441	17	by	by	ADP
ejpam-6379	441	18	the	the	DET
ejpam-6379	441	19	model	model	NOUN
ejpam-6379	441	20	.	.	PUNCT
ejpam-6379	442	1	this	this	DET
ejpam-6379	442	2	alignment	alignment	NOUN
ejpam-6379	442	3	emphasizes	emphasize	VERB
ejpam-6379	442	4	the	the	DET
ejpam-6379	442	5	model	model	NOUN
ejpam-6379	442	6	’s	’s	PART
ejpam-6379	442	7	potential	potential	NOUN
ejpam-6379	442	8	for	for	ADP
ejpam-6379	442	9	identifying	identify	VERB
ejpam-6379	442	10	the	the	DET
ejpam-6379	442	11	grand	grand	ADJ
ejpam-6379	442	12	epidemiological	epidemiological	ADJ
ejpam-6379	442	13	profile	profile	NOUN
ejpam-6379	442	14	,	,	PUNCT
ejpam-6379	442	15	as	as	ADV
ejpam-6379	442	16	well	well	ADV
ejpam-6379	442	17	as	as	ADP
ejpam-6379	442	18	for	for	ADP
ejpam-6379	442	19	yielding	yield	VERB
ejpam-6379	442	20	guidance	guidance	NOUN
ejpam-6379	442	21	for	for	ADP
ejpam-6379	442	22	public	public	ADJ
ejpam-6379	442	23	health	health	NOUN
ejpam-6379	442	24	interventions	intervention	NOUN
ejpam-6379	442	25	.	.	PUNCT
ejpam-6379	443	1	r.	r.	PROPN
ejpam-6379	443	2	saadeh	saadeh	PROPN
ejpam-6379	443	3	et	et	PROPN
ejpam-6379	443	4	al	al	PROPN
ejpam-6379	443	5	.	.	PUNCT
ejpam-6379	443	6	/	/	SYM
ejpam-6379	443	7	eur	eur	PROPN
ejpam-6379	443	8	.	.	PUNCT
ejpam-6379	444	1	j.	j.	PROPN
ejpam-6379	444	2	pure	pure	PROPN
ejpam-6379	444	3	appl	appl	PROPN
ejpam-6379	444	4	.	.	PROPN
ejpam-6379	444	5	math	math	PROPN
ejpam-6379	444	6	,	,	PUNCT
ejpam-6379	444	7	18	18	NUM
ejpam-6379	444	8	(	(	PUNCT
ejpam-6379	444	9	3	3	NUM
ejpam-6379	444	10	)	)	PUNCT
ejpam-6379	444	11	(	(	PUNCT
ejpam-6379	444	12	2025	2025	NUM
ejpam-6379	444	13	)	)	PUNCT
ejpam-6379	444	14	,	,	PUNCT
ejpam-6379	444	15	6379	6379	NUM
ejpam-6379	444	16	21	21	NUM
ejpam-6379	444	17	of	of	ADP
ejpam-6379	444	18	34	34	NUM
ejpam-6379	444	19	0	0	NUM
ejpam-6379	444	20	5	5	NUM
ejpam-6379	444	21	10	10	NUM
ejpam-6379	444	22	15	15	NUM
ejpam-6379	444	23	20	20	NUM
ejpam-6379	444	24	25	25	NUM
ejpam-6379	444	25	30	30	NUM
ejpam-6379	444	26	35	35	NUM
ejpam-6379	444	27	40	40	NUM
ejpam-6379	444	28	45	45	NUM
ejpam-6379	444	29	50	50	NUM
ejpam-6379	444	30	weeks	week	NOUN
ejpam-6379	444	31	0.0	0.0	NUM
ejpam-6379	444	32	0.5	0.5	NUM
ejpam-6379	444	33	1.0	1.0	NUM
ejpam-6379	444	34	1.5	1.5	NUM
ejpam-6379	444	35	2.0	2.0	NUM
ejpam-6379	444	36	2.5	2.5	NUM
ejpam-6379	444	37	3.0	3.0	NUM
ejpam-6379	444	38	3.5	3.5	NUM
ejpam-6379	444	39	s	s	PROPN
ejpam-6379	444	40	(	(	PUNCT
ejpam-6379	444	41	t	t	PROPN
ejpam-6379	444	42	)	)	PUNCT
ejpam-6379	444	43	1e7	1e7	NUM
ejpam-6379	444	44	0	0	NUM
ejpam-6379	444	45	5	5	NUM
ejpam-6379	444	46	10	10	NUM
ejpam-6379	444	47	15	15	NUM
ejpam-6379	444	48	20	20	NUM
ejpam-6379	444	49	25	25	NUM
ejpam-6379	444	50	30	30	NUM
ejpam-6379	444	51	35	35	NUM
ejpam-6379	444	52	40	40	NUM
ejpam-6379	444	53	45	45	NUM
ejpam-6379	444	54	50	50	NUM
ejpam-6379	444	55	weeks	week	NOUN
ejpam-6379	444	56	0	0	NUM
ejpam-6379	445	1	200	200	NUM
ejpam-6379	445	2	400	400	NUM
ejpam-6379	445	3	600	600	NUM
ejpam-6379	445	4	800	800	NUM
ejpam-6379	445	5	1000	1000	NUM
ejpam-6379	445	6	1200	1200	NUM
ejpam-6379	445	7	e	e	X
ejpam-6379	445	8	(	(	PUNCT
ejpam-6379	445	9	t	t	PROPN
ejpam-6379	445	10	)	)	PUNCT
ejpam-6379	445	11	0	0	NUM
ejpam-6379	445	12	5	5	NUM
ejpam-6379	445	13	10	10	NUM
ejpam-6379	445	14	15	15	NUM
ejpam-6379	445	15	20	20	NUM
ejpam-6379	445	16	25	25	NUM
ejpam-6379	445	17	30	30	NUM
ejpam-6379	445	18	35	35	NUM
ejpam-6379	445	19	40	40	NUM
ejpam-6379	445	20	45	45	NUM
ejpam-6379	445	21	50	50	NUM
ejpam-6379	445	22	weeks	week	NOUN
ejpam-6379	445	23	0	0	NUM
ejpam-6379	445	24	20	20	NUM
ejpam-6379	445	25	40	40	NUM
ejpam-6379	445	26	60	60	NUM
ejpam-6379	445	27	80	80	NUM
ejpam-6379	445	28	100	100	NUM
ejpam-6379	445	29	i(t	i(t	NOUN
ejpam-6379	445	30	)	)	PUNCT
ejpam-6379	445	31	0	0	NUM
ejpam-6379	445	32	5	5	NUM
ejpam-6379	445	33	10	10	NUM
ejpam-6379	445	34	15	15	NUM
ejpam-6379	445	35	20	20	NUM
ejpam-6379	445	36	25	25	NUM
ejpam-6379	445	37	30	30	NUM
ejpam-6379	445	38	35	35	NUM
ejpam-6379	445	39	40	40	NUM
ejpam-6379	445	40	45	45	NUM
ejpam-6379	445	41	50	50	NUM
ejpam-6379	445	42	weeks	week	NOUN
ejpam-6379	445	43	0	0	NUM
ejpam-6379	445	44	50	50	NUM
ejpam-6379	445	45	100	100	NUM
ejpam-6379	445	46	150	150	NUM
ejpam-6379	445	47	200	200	NUM
ejpam-6379	445	48	250	250	NUM
ejpam-6379	445	49	300	300	NUM
ejpam-6379	445	50	350	350	NUM
ejpam-6379	445	51	h	h	NOUN
ejpam-6379	445	52	(	(	PUNCT
ejpam-6379	445	53	t	t	PROPN
ejpam-6379	445	54	)	)	PUNCT
ejpam-6379	445	55	0	0	NUM
ejpam-6379	445	56	5	5	NUM
ejpam-6379	445	57	10	10	NUM
ejpam-6379	445	58	15	15	NUM
ejpam-6379	445	59	20	20	NUM
ejpam-6379	445	60	25	25	NUM
ejpam-6379	445	61	30	30	NUM
ejpam-6379	445	62	35	35	NUM
ejpam-6379	445	63	40	40	NUM
ejpam-6379	445	64	45	45	NUM
ejpam-6379	445	65	50	50	NUM
ejpam-6379	445	66	weeks	week	NOUN
ejpam-6379	445	67	0	0	NUM
ejpam-6379	445	68	1	1	NUM
ejpam-6379	445	69	2	2	NUM
ejpam-6379	445	70	3	3	NUM
ejpam-6379	445	71	4	4	NUM
ejpam-6379	445	72	5	5	NUM
ejpam-6379	445	73	6	6	NUM
ejpam-6379	445	74	v	v	NOUN
ejpam-6379	445	75	(	(	PUNCT
ejpam-6379	445	76	t	t	PROPN
ejpam-6379	445	77	)	)	PUNCT
ejpam-6379	445	78	1e6	1e6	NUM
ejpam-6379	445	79	0	0	NUM
ejpam-6379	445	80	5	5	NUM
ejpam-6379	445	81	10	10	NUM
ejpam-6379	445	82	15	15	NUM
ejpam-6379	445	83	20	20	NUM
ejpam-6379	445	84	25	25	NUM
ejpam-6379	445	85	30	30	NUM
ejpam-6379	445	86	35	35	NUM
ejpam-6379	445	87	40	40	NUM
ejpam-6379	445	88	45	45	NUM
ejpam-6379	445	89	50	50	NUM
ejpam-6379	445	90	weeks	week	NOUN
ejpam-6379	445	91	0	0	NUM
ejpam-6379	445	92	1000	1000	NUM
ejpam-6379	445	93	2000	2000	NUM
ejpam-6379	445	94	3000	3000	NUM
ejpam-6379	445	95	4000	4000	NUM
ejpam-6379	445	96	r	r	NOUN
ejpam-6379	445	97	(	(	PUNCT
ejpam-6379	445	98	t	t	NOUN
ejpam-6379	445	99	)	)	PUNCT
ejpam-6379	445	100	figure	figure	NOUN
ejpam-6379	445	101	2	2	NUM
ejpam-6379	445	102	:	:	PUNCT
ejpam-6379	445	103	stochastic	stochastic	ADJ
ejpam-6379	445	104	simulations	simulation	NOUN
ejpam-6379	445	105	vs.	vs.	ADP
ejpam-6379	445	106	deterministic	deterministic	ADJ
ejpam-6379	445	107	model	model	NOUN
ejpam-6379	445	108	(	(	PUNCT
ejpam-6379	445	109	1	1	NUM
ejpam-6379	445	110	)	)	PUNCT
ejpam-6379	445	111	(	(	PUNCT
ejpam-6379	445	112	red	red	ADJ
ejpam-6379	445	113	line	line	NOUN
ejpam-6379	445	114	)	)	PUNCT
ejpam-6379	445	115	using	use	VERB
ejpam-6379	445	116	estimated	estimate	VERB
ejpam-6379	445	117	parameters	parameter	NOUN
ejpam-6379	445	118	from	from	ADP
ejpam-6379	445	119	table	table	NOUN
ejpam-6379	445	120	2	2	NUM
ejpam-6379	445	121	with	with	ADP
ejpam-6379	445	122	δi	δi	NOUN
ejpam-6379	445	123	=	=	SYM
ejpam-6379	445	124	0.1	0.1	NUM
ejpam-6379	445	125	.	.	PUNCT
ejpam-6379	445	126	figure	figure	NOUN
ejpam-6379	445	127	2	2	NUM
ejpam-6379	445	128	shows	show	VERB
ejpam-6379	445	129	how	how	SCONJ
ejpam-6379	445	130	the	the	DET
ejpam-6379	445	131	determined	determined	ADJ
ejpam-6379	445	132	and	and	CCONJ
ejpam-6379	445	133	the	the	DET
ejpam-6379	445	134	stochastic	stochastic	ADJ
ejpam-6379	445	135	model	model	NOUN
ejpam-6379	445	136	results	result	NOUN
ejpam-6379	445	137	are	be	AUX
ejpam-6379	445	138	associated	associate	VERB
ejpam-6379	445	139	in	in	ADP
ejpam-6379	445	140	six	six	NUM
ejpam-6379	445	141	compartments	compartment	NOUN
ejpam-6379	445	142	of	of	ADP
ejpam-6379	445	143	the	the	DET
ejpam-6379	445	144	influenza	influenza	NOUN
ejpam-6379	445	145	system	system	NOUN
ejpam-6379	445	146	in	in	ADP
ejpam-6379	445	147	52	52	NUM
ejpam-6379	445	148	weeks	week	NOUN
ejpam-6379	445	149	.	.	PUNCT
ejpam-6379	446	1	the	the	DET
ejpam-6379	446	2	deterministic	deterministic	ADJ
ejpam-6379	446	3	trajectories	trajectory	NOUN
ejpam-6379	446	4	are	be	AUX
ejpam-6379	446	5	represented	represent	VERB
ejpam-6379	446	6	as	as	ADP
ejpam-6379	446	7	red	red	ADJ
ejpam-6379	446	8	solid	solid	ADJ
ejpam-6379	446	9	lines	line	NOUN
ejpam-6379	446	10	,	,	PUNCT
ejpam-6379	446	11	indicating	indicate	VERB
ejpam-6379	446	12	a	a	DET
ejpam-6379	446	13	singular	singular	ADJ
ejpam-6379	446	14	solution	solution	NOUN
ejpam-6379	446	15	trajectory	trajectory	NOUN
ejpam-6379	446	16	derived	derive	VERB
ejpam-6379	446	17	from	from	ADP
ejpam-6379	446	18	the	the	DET
ejpam-6379	446	19	average	average	ADJ
ejpam-6379	446	20	behaviour	behaviour	NOUN
ejpam-6379	446	21	.	.	PUNCT
ejpam-6379	447	1	the	the	DET
ejpam-6379	447	2	stochastic	stochastic	ADJ
ejpam-6379	447	3	encoding	encoding	NOUN
ejpam-6379	447	4	(	(	PUNCT
ejpam-6379	447	5	for	for	ADP
ejpam-6379	447	6	δ1	δ1	NOUN
ejpam-6379	447	7	=	=	SYM
ejpam-6379	447	8	δ2	δ2	VERB
ejpam-6379	447	9	=	=	SYM
ejpam-6379	447	10	δ3	δ3	NOUN
ejpam-6379	447	11	=	=	NOUN
ejpam-6379	447	12	δ4	δ4	NOUN
ejpam-6379	447	13	=	=	PUNCT
ejpam-6379	447	14	δ5	δ5	NOUN
ejpam-6379	447	15	=	=	SYM
ejpam-6379	447	16	δ6	δ6	NOUN
ejpam-6379	447	17	=	=	NOUN
ejpam-6379	447	18	0.1	0.1	NUM
ejpam-6379	447	19	)	)	PUNCT
ejpam-6379	447	20	,	,	PUNCT
ejpam-6379	447	21	on	on	ADP
ejpam-6379	447	22	the	the	DET
ejpam-6379	447	23	other	other	ADJ
ejpam-6379	447	24	hand	hand	NOUN
ejpam-6379	447	25	,	,	PUNCT
ejpam-6379	447	26	provides	provide	VERB
ejpam-6379	447	27	a	a	DET
ejpam-6379	447	28	distribution	distribution	NOUN
ejpam-6379	447	29	of	of	ADP
ejpam-6379	447	30	potential	potential	ADJ
ejpam-6379	447	31	epidemic	epidemic	NOUN
ejpam-6379	447	32	outcomes	outcome	NOUN
ejpam-6379	447	33	,	,	PUNCT
ejpam-6379	447	34	applying	apply	VERB
ejpam-6379	447	35	randomness	randomness	NOUN
ejpam-6379	447	36	coming	come	VERB
ejpam-6379	447	37	from	from	ADP
ejpam-6379	447	38	fluctuations	fluctuation	NOUN
ejpam-6379	447	39	in	in	ADP
ejpam-6379	447	40	the	the	DET
ejpam-6379	447	41	environment	environment	NOUN
ejpam-6379	447	42	and	and	CCONJ
ejpam-6379	447	43	the	the	DET
ejpam-6379	447	44	population	population	NOUN
ejpam-6379	447	45	behavior	behavior	NOUN
ejpam-6379	447	46	.	.	PUNCT
ejpam-6379	448	1	the	the	DET
ejpam-6379	448	2	strong	strong	ADJ
ejpam-6379	448	3	alignment	alignment	NOUN
ejpam-6379	448	4	between	between	ADP
ejpam-6379	448	5	the	the	DET
ejpam-6379	448	6	outcomes	outcome	NOUN
ejpam-6379	448	7	of	of	ADP
ejpam-6379	448	8	the	the	DET
ejpam-6379	448	9	stochastic	stochastic	ADJ
ejpam-6379	448	10	framework	framework	NOUN
ejpam-6379	448	11	and	and	CCONJ
ejpam-6379	448	12	the	the	DET
ejpam-6379	448	13	deterministic	deterministic	ADJ
ejpam-6379	448	14	solution	solution	NOUN
ejpam-6379	448	15	indicates	indicate	VERB
ejpam-6379	448	16	that	that	SCONJ
ejpam-6379	448	17	the	the	DET
ejpam-6379	448	18	mean	mean	ADJ
ejpam-6379	448	19	-	-	PUNCT
ejpam-6379	448	20	field	field	NOUN
ejpam-6379	448	21	model	model	NOUN
ejpam-6379	448	22	is	be	AUX
ejpam-6379	448	23	valid	valid	ADJ
ejpam-6379	448	24	in	in	ADP
ejpam-6379	448	25	the	the	DET
ejpam-6379	448	26	low	low	ADJ
ejpam-6379	448	27	-	-	PUNCT
ejpam-6379	448	28	noise	noise	NOUN
ejpam-6379	448	29	limit	limit	NOUN
ejpam-6379	448	30	.	.	PUNCT
ejpam-6379	449	1	the	the	DET
ejpam-6379	449	2	findings	finding	NOUN
ejpam-6379	449	3	indicate	indicate	VERB
ejpam-6379	449	4	r.	r.	PROPN
ejpam-6379	449	5	saadeh	saadeh	PROPN
ejpam-6379	449	6	et	et	PROPN
ejpam-6379	449	7	al	al	PROPN
ejpam-6379	449	8	.	.	PUNCT
ejpam-6379	449	9	/	/	SYM
ejpam-6379	449	10	eur	eur	PROPN
ejpam-6379	449	11	.	.	PUNCT
ejpam-6379	450	1	j.	j.	PROPN
ejpam-6379	450	2	pure	pure	PROPN
ejpam-6379	450	3	appl	appl	PROPN
ejpam-6379	450	4	.	.	PROPN
ejpam-6379	450	5	math	math	PROPN
ejpam-6379	450	6	,	,	PUNCT
ejpam-6379	450	7	18	18	NUM
ejpam-6379	450	8	(	(	PUNCT
ejpam-6379	450	9	3	3	NUM
ejpam-6379	450	10	)	)	PUNCT
ejpam-6379	450	11	(	(	PUNCT
ejpam-6379	450	12	2025	2025	NUM
ejpam-6379	450	13	)	)	PUNCT
ejpam-6379	450	14	,	,	PUNCT
ejpam-6379	450	15	6379	6379	NUM
ejpam-6379	450	16	22	22	NUM
ejpam-6379	450	17	of	of	ADP
ejpam-6379	450	18	34	34	NUM
ejpam-6379	450	19	that	that	SCONJ
ejpam-6379	450	20	the	the	DET
ejpam-6379	450	21	stochastic	stochastic	ADJ
ejpam-6379	450	22	model	model	NOUN
ejpam-6379	450	23	effectively	effectively	ADV
ejpam-6379	450	24	encapsulates	encapsulate	VERB
ejpam-6379	450	25	the	the	DET
ejpam-6379	450	26	uncertainty	uncertainty	NOUN
ejpam-6379	450	27	and	and	CCONJ
ejpam-6379	450	28	variability	variability	NOUN
ejpam-6379	450	29	inherent	inherent	ADJ
ejpam-6379	450	30	in	in	ADP
ejpam-6379	450	31	the	the	DET
ejpam-6379	450	32	epidemic	epidemic	NOUN
ejpam-6379	450	33	’s	’s	PART
ejpam-6379	450	34	progression	progression	NOUN
ejpam-6379	450	35	,	,	PUNCT
ejpam-6379	450	36	offering	offer	VERB
ejpam-6379	450	37	a	a	DET
ejpam-6379	450	38	more	more	ADV
ejpam-6379	450	39	comprehensive	comprehensive	ADJ
ejpam-6379	450	40	understanding	understanding	NOUN
ejpam-6379	450	41	of	of	ADP
ejpam-6379	450	42	the	the	DET
ejpam-6379	450	43	potential	potential	ADJ
ejpam-6379	450	44	dynamics	dynamic	NOUN
ejpam-6379	450	45	of	of	ADP
ejpam-6379	450	46	the	the	DET
ejpam-6379	450	47	outbreak	outbreak	NOUN
ejpam-6379	450	48	.	.	PUNCT
ejpam-6379	451	1	0	0	NUM
ejpam-6379	452	1	5	5	NUM
ejpam-6379	452	2	10	10	NUM
ejpam-6379	452	3	15	15	NUM
ejpam-6379	452	4	20	20	NUM
ejpam-6379	452	5	25	25	NUM
ejpam-6379	452	6	30	30	NUM
ejpam-6379	452	7	35	35	NUM
ejpam-6379	452	8	40	40	NUM
ejpam-6379	452	9	45	45	NUM
ejpam-6379	452	10	50	50	NUM
ejpam-6379	452	11	weeks	week	NOUN
ejpam-6379	452	12	0	0	NUM
ejpam-6379	452	13	20	20	NUM
ejpam-6379	452	14	40	40	NUM
ejpam-6379	452	15	60	60	NUM
ejpam-6379	452	16	80	80	NUM
ejpam-6379	452	17	100	100	NUM
ejpam-6379	452	18	120	120	NUM
ejpam-6379	452	19	i(t	i(t	NOUN
ejpam-6379	452	20	)	)	PUNCT
ejpam-6379	452	21	0	0	NUM
ejpam-6379	452	22	5	5	NUM
ejpam-6379	452	23	10	10	NUM
ejpam-6379	452	24	15	15	NUM
ejpam-6379	452	25	20	20	NUM
ejpam-6379	452	26	25	25	NUM
ejpam-6379	452	27	30	30	NUM
ejpam-6379	452	28	35	35	NUM
ejpam-6379	452	29	40	40	NUM
ejpam-6379	452	30	45	45	NUM
ejpam-6379	452	31	50	50	NUM
ejpam-6379	452	32	weeks	week	NOUN
ejpam-6379	452	33	0	0	NUM
ejpam-6379	452	34	20	20	NUM
ejpam-6379	452	35	40	40	NUM
ejpam-6379	452	36	60	60	NUM
ejpam-6379	452	37	80	80	NUM
ejpam-6379	452	38	100	100	NUM
ejpam-6379	452	39	120	120	NUM
ejpam-6379	452	40	i(t	i(t	NOUN
ejpam-6379	452	41	)	)	PUNCT
ejpam-6379	452	42	0	0	NUM
ejpam-6379	452	43	5	5	NUM
ejpam-6379	452	44	10	10	NUM
ejpam-6379	452	45	15	15	NUM
ejpam-6379	452	46	20	20	NUM
ejpam-6379	452	47	25	25	NUM
ejpam-6379	452	48	30	30	NUM
ejpam-6379	452	49	35	35	NUM
ejpam-6379	452	50	40	40	NUM
ejpam-6379	452	51	45	45	NUM
ejpam-6379	452	52	50	50	NUM
ejpam-6379	452	53	weeks	week	NOUN
ejpam-6379	452	54	0	0	NUM
ejpam-6379	452	55	20	20	NUM
ejpam-6379	452	56	40	40	NUM
ejpam-6379	452	57	60	60	NUM
ejpam-6379	452	58	80	80	NUM
ejpam-6379	452	59	100	100	NUM
ejpam-6379	452	60	i(t	i(t	NOUN
ejpam-6379	452	61	)	)	PUNCT
ejpam-6379	452	62	0	0	NUM
ejpam-6379	452	63	5	5	NUM
ejpam-6379	452	64	10	10	NUM
ejpam-6379	452	65	15	15	NUM
ejpam-6379	452	66	20	20	NUM
ejpam-6379	452	67	25	25	NUM
ejpam-6379	452	68	30	30	NUM
ejpam-6379	452	69	35	35	NUM
ejpam-6379	452	70	40	40	NUM
ejpam-6379	452	71	45	45	NUM
ejpam-6379	452	72	50	50	NUM
ejpam-6379	452	73	weeks	week	NOUN
ejpam-6379	452	74	0	0	NUM
ejpam-6379	452	75	25	25	NUM
ejpam-6379	452	76	50	50	NUM
ejpam-6379	452	77	75	75	NUM
ejpam-6379	452	78	100	100	NUM
ejpam-6379	452	79	125	125	NUM
ejpam-6379	452	80	150	150	NUM
ejpam-6379	452	81	175	175	NUM
ejpam-6379	452	82	i(t	i(t	NOUN
ejpam-6379	452	83	)	)	PUNCT
ejpam-6379	452	84	figure	figure	NOUN
ejpam-6379	452	85	3	3	NUM
ejpam-6379	452	86	:	:	PUNCT
ejpam-6379	452	87	stochastic	stochastic	ADJ
ejpam-6379	452	88	simulations	simulation	NOUN
ejpam-6379	452	89	of	of	ADP
ejpam-6379	452	90	model	model	NOUN
ejpam-6379	452	91	(	(	PUNCT
ejpam-6379	452	92	2	2	NUM
ejpam-6379	452	93	)	)	PUNCT
ejpam-6379	452	94	with	with	ADP
ejpam-6379	452	95	δ1	δ1	NOUN
ejpam-6379	452	96	=	=	SYM
ejpam-6379	452	97	δ2	δ2	VERB
ejpam-6379	452	98	=	=	PUNCT
ejpam-6379	452	99	δ5	δ5	NOUN
ejpam-6379	452	100	=	=	SYM
ejpam-6379	452	101	δ6	δ6	NOUN
ejpam-6379	452	102	=	=	NOUN
ejpam-6379	452	103	0.1	0.1	NUM
ejpam-6379	452	104	and	and	CCONJ
ejpam-6379	452	105	varying	vary	VERB
ejpam-6379	452	106	δ3	δ3	PROPN
ejpam-6379	452	107	=	=	PROPN
ejpam-6379	452	108	δ4	δ4	PROPN
ejpam-6379	452	109	∈	∈	PROPN
ejpam-6379	452	110	{	{	PUNCT
ejpam-6379	452	111	0.05	0.05	NUM
ejpam-6379	452	112	,	,	PUNCT
ejpam-6379	452	113	0.2	0.2	NUM
ejpam-6379	452	114	,	,	PUNCT
ejpam-6379	452	115	0.25	0.25	NUM
ejpam-6379	452	116	,	,	PUNCT
ejpam-6379	452	117	0.3	0.3	NUM
ejpam-6379	452	118	}	}	PUNCT
ejpam-6379	452	119	.	.	PUNCT
ejpam-6379	453	1	r.	r.	PROPN
ejpam-6379	453	2	saadeh	saadeh	PROPN
ejpam-6379	453	3	et	et	PROPN
ejpam-6379	453	4	al	al	PROPN
ejpam-6379	453	5	.	.	PUNCT
ejpam-6379	453	6	/	/	SYM
ejpam-6379	453	7	eur	eur	PROPN
ejpam-6379	453	8	.	.	PUNCT
ejpam-6379	454	1	j.	j.	PROPN
ejpam-6379	454	2	pure	pure	PROPN
ejpam-6379	454	3	appl	appl	PROPN
ejpam-6379	454	4	.	.	PROPN
ejpam-6379	454	5	math	math	PROPN
ejpam-6379	454	6	,	,	PUNCT
ejpam-6379	454	7	18	18	NUM
ejpam-6379	454	8	(	(	PUNCT
ejpam-6379	454	9	3	3	NUM
ejpam-6379	454	10	)	)	PUNCT
ejpam-6379	454	11	(	(	PUNCT
ejpam-6379	454	12	2025	2025	NUM
ejpam-6379	454	13	)	)	PUNCT
ejpam-6379	454	14	,	,	PUNCT
ejpam-6379	454	15	6379	6379	NUM
ejpam-6379	454	16	23	23	NUM
ejpam-6379	454	17	of	of	ADP
ejpam-6379	454	18	34	34	NUM
ejpam-6379	454	19	0	0	NUM
ejpam-6379	454	20	5	5	NUM
ejpam-6379	454	21	10	10	NUM
ejpam-6379	454	22	15	15	NUM
ejpam-6379	454	23	20	20	NUM
ejpam-6379	454	24	25	25	NUM
ejpam-6379	454	25	30	30	NUM
ejpam-6379	454	26	35	35	NUM
ejpam-6379	454	27	40	40	NUM
ejpam-6379	454	28	45	45	NUM
ejpam-6379	454	29	50	50	NUM
ejpam-6379	454	30	weeks	week	NOUN
ejpam-6379	454	31	0	0	NUM
ejpam-6379	454	32	50	50	NUM
ejpam-6379	454	33	100	100	NUM
ejpam-6379	454	34	150	150	NUM
ejpam-6379	454	35	200	200	NUM
ejpam-6379	454	36	250	250	NUM
ejpam-6379	454	37	300	300	NUM
ejpam-6379	454	38	350	350	NUM
ejpam-6379	454	39	h	h	NOUN
ejpam-6379	454	40	(	(	PUNCT
ejpam-6379	454	41	t	t	PROPN
ejpam-6379	454	42	)	)	PUNCT
ejpam-6379	454	43	0	0	NUM
ejpam-6379	455	1	5	5	NUM
ejpam-6379	455	2	10	10	NUM
ejpam-6379	455	3	15	15	NUM
ejpam-6379	455	4	20	20	NUM
ejpam-6379	455	5	25	25	NUM
ejpam-6379	455	6	30	30	NUM
ejpam-6379	455	7	35	35	NUM
ejpam-6379	455	8	40	40	NUM
ejpam-6379	455	9	45	45	NUM
ejpam-6379	455	10	50	50	NUM
ejpam-6379	455	11	weeks	week	NOUN
ejpam-6379	455	12	0	0	NUM
ejpam-6379	455	13	50	50	NUM
ejpam-6379	455	14	100	100	NUM
ejpam-6379	455	15	150	150	NUM
ejpam-6379	455	16	200	200	NUM
ejpam-6379	455	17	250	250	NUM
ejpam-6379	455	18	300	300	NUM
ejpam-6379	455	19	h	h	NOUN
ejpam-6379	455	20	(	(	PUNCT
ejpam-6379	455	21	t	t	PROPN
ejpam-6379	455	22	)	)	PUNCT
ejpam-6379	455	23	0	0	NUM
ejpam-6379	455	24	5	5	NUM
ejpam-6379	455	25	10	10	NUM
ejpam-6379	455	26	15	15	NUM
ejpam-6379	455	27	20	20	NUM
ejpam-6379	455	28	25	25	NUM
ejpam-6379	455	29	30	30	NUM
ejpam-6379	455	30	35	35	NUM
ejpam-6379	455	31	40	40	NUM
ejpam-6379	455	32	45	45	NUM
ejpam-6379	455	33	50	50	NUM
ejpam-6379	455	34	weeks	week	NOUN
ejpam-6379	455	35	0	0	NUM
ejpam-6379	455	36	50	50	NUM
ejpam-6379	455	37	100	100	NUM
ejpam-6379	455	38	150	150	NUM
ejpam-6379	455	39	200	200	NUM
ejpam-6379	455	40	250	250	NUM
ejpam-6379	455	41	300	300	NUM
ejpam-6379	455	42	350	350	NUM
ejpam-6379	455	43	h	h	NOUN
ejpam-6379	455	44	(	(	PUNCT
ejpam-6379	455	45	t	t	PROPN
ejpam-6379	455	46	)	)	PUNCT
ejpam-6379	455	47	0	0	NUM
ejpam-6379	455	48	5	5	NUM
ejpam-6379	455	49	10	10	NUM
ejpam-6379	455	50	15	15	NUM
ejpam-6379	455	51	20	20	NUM
ejpam-6379	455	52	25	25	NUM
ejpam-6379	455	53	30	30	NUM
ejpam-6379	455	54	35	35	NUM
ejpam-6379	455	55	40	40	NUM
ejpam-6379	455	56	45	45	NUM
ejpam-6379	455	57	50	50	NUM
ejpam-6379	455	58	weeks	week	NOUN
ejpam-6379	455	59	0	0	NUM
ejpam-6379	455	60	100	100	NUM
ejpam-6379	455	61	200	200	NUM
ejpam-6379	455	62	300	300	NUM
ejpam-6379	455	63	400	400	NUM
ejpam-6379	455	64	500	500	NUM
ejpam-6379	455	65	h	h	NOUN
ejpam-6379	455	66	(	(	PUNCT
ejpam-6379	455	67	t	t	PROPN
ejpam-6379	455	68	)	)	PUNCT
ejpam-6379	455	69	figure	figure	NOUN
ejpam-6379	455	70	4	4	NUM
ejpam-6379	455	71	:	:	PUNCT
ejpam-6379	455	72	stochastic	stochastic	ADJ
ejpam-6379	455	73	simulations	simulation	NOUN
ejpam-6379	455	74	of	of	ADP
ejpam-6379	455	75	model	model	NOUN
ejpam-6379	455	76	(	(	PUNCT
ejpam-6379	455	77	2	2	NUM
ejpam-6379	455	78	)	)	PUNCT
ejpam-6379	455	79	with	with	ADP
ejpam-6379	455	80	δ1	δ1	NOUN
ejpam-6379	455	81	=	=	SYM
ejpam-6379	455	82	δ2	δ2	VERB
ejpam-6379	455	83	=	=	PUNCT
ejpam-6379	455	84	δ5	δ5	NOUN
ejpam-6379	455	85	=	=	SYM
ejpam-6379	455	86	δ6	δ6	NOUN
ejpam-6379	455	87	=	=	NOUN
ejpam-6379	455	88	0.1	0.1	NUM
ejpam-6379	455	89	and	and	CCONJ
ejpam-6379	455	90	varying	vary	VERB
ejpam-6379	455	91	δ3	δ3	PROPN
ejpam-6379	455	92	=	=	PUNCT
ejpam-6379	455	93	δ4	δ4	PROPN
ejpam-6379	455	94	:	:	PUNCT
ejpam-6379	455	95	0.05	0.05	NUM
ejpam-6379	455	96	,	,	PUNCT
ejpam-6379	455	97	0.2	0.2	NUM
ejpam-6379	455	98	(	(	PUNCT
ejpam-6379	455	99	top	top	NOUN
ejpam-6379	455	100	)	)	PUNCT
ejpam-6379	455	101	,	,	PUNCT
ejpam-6379	455	102	0.25	0.25	NUM
ejpam-6379	455	103	,	,	PUNCT
ejpam-6379	455	104	0.3	0.3	NUM
ejpam-6379	455	105	(	(	PUNCT
ejpam-6379	455	106	bottom	bottom	NOUN
ejpam-6379	455	107	)	)	PUNCT
ejpam-6379	455	108	.	.	PUNCT
ejpam-6379	456	1	the	the	DET
ejpam-6379	456	2	effect	effect	NOUN
ejpam-6379	456	3	of	of	ADP
ejpam-6379	456	4	varying	vary	VERB
ejpam-6379	456	5	levels	level	NOUN
ejpam-6379	456	6	of	of	ADP
ejpam-6379	456	7	white	white	ADJ
ejpam-6379	456	8	noise	noise	NOUN
ejpam-6379	456	9	intensities	intensity	NOUN
ejpam-6379	456	10	(	(	PUNCT
ejpam-6379	456	11	δ3	δ3	PROPN
ejpam-6379	456	12	,	,	PUNCT
ejpam-6379	456	13	δ4	δ4	NOUN
ejpam-6379	456	14	)	)	PUNCT
ejpam-6379	456	15	on	on	ADP
ejpam-6379	456	16	the	the	DET
ejpam-6379	456	17	dynamics	dynamic	NOUN
ejpam-6379	456	18	of	of	ADP
ejpam-6379	456	19	influenza	influenza	NOUN
ejpam-6379	456	20	transmission	transmission	NOUN
ejpam-6379	456	21	over	over	ADP
ejpam-6379	456	22	52	52	NUM
ejpam-6379	456	23	weeks	week	NOUN
ejpam-6379	456	24	is	be	AUX
ejpam-6379	456	25	presented	present	VERB
ejpam-6379	456	26	using	use	VERB
ejpam-6379	456	27	stochastic	stochastic	ADJ
ejpam-6379	456	28	simulations	simulation	NOUN
ejpam-6379	456	29	in	in	ADP
ejpam-6379	456	30	figures3	figures3	PROPN
ejpam-6379	456	31	and4	and4	PROPN
ejpam-6379	456	32	.	.	PUNCT
ejpam-6379	457	1	each	each	DET
ejpam-6379	457	2	subplot	subplot	NOUN
ejpam-6379	457	3	shows	show	VERB
ejpam-6379	457	4	simulated	simulated	ADJ
ejpam-6379	457	5	trajectories	trajectory	NOUN
ejpam-6379	457	6	of	of	ADP
ejpam-6379	457	7	the	the	DET
ejpam-6379	457	8	epidemic	epidemic	NOUN
ejpam-6379	457	9	for	for	ADP
ejpam-6379	457	10	a	a	DET
ejpam-6379	457	11	range	range	NOUN
ejpam-6379	457	12	of	of	ADP
ejpam-6379	457	13	noise	noise	NOUN
ejpam-6379	457	14	levels	level	NOUN
ejpam-6379	457	15	in	in	ADP
ejpam-6379	457	16	panel	panel	NOUN
ejpam-6379	457	17	(	(	PUNCT
ejpam-6379	457	18	a	a	NOUN
ejpam-6379	457	19	)	)	PUNCT
ejpam-6379	457	20	and	and	CCONJ
ejpam-6379	457	21	panel	panel	NOUN
ejpam-6379	457	22	(	(	PUNCT
ejpam-6379	457	23	i	i	NOUN
ejpam-6379	457	24	)	)	PUNCT
ejpam-6379	457	25	with	with	ADP
ejpam-6379	457	26	the	the	DET
ejpam-6379	457	27	x	x	NOUN
ejpam-6379	457	28	-	-	NOUN
ejpam-6379	457	29	axis	axis	NOUN
ejpam-6379	457	30	the	the	DET
ejpam-6379	457	31	time	time	NOUN
ejpam-6379	457	32	in	in	ADP
ejpam-6379	457	33	weeks	week	NOUN
ejpam-6379	457	34	and	and	CCONJ
ejpam-6379	457	35	the	the	DET
ejpam-6379	457	36	y	y	NOUN
ejpam-6379	457	37	-	-	PUNCT
ejpam-6379	457	38	axis	axis	NOUN
ejpam-6379	457	39	the	the	DET
ejpam-6379	457	40	infected	infect	VERB
ejpam-6379	457	41	or	or	CCONJ
ejpam-6379	457	42	hospitalized	hospitalize	VERB
ejpam-6379	457	43	counts	count	NOUN
ejpam-6379	457	44	.	.	PUNCT
ejpam-6379	458	1	we	we	PRON
ejpam-6379	458	2	set	set	VERB
ejpam-6379	458	3	δ1	δ1	NOUN
ejpam-6379	458	4	=	=	NOUN
ejpam-6379	458	5	0.1	0.1	NUM
ejpam-6379	458	6	,	,	PUNCT
ejpam-6379	458	7	δ2	δ2	VERB
ejpam-6379	458	8	=	=	NOUN
ejpam-6379	458	9	0.1	0.1	NUM
ejpam-6379	458	10	,	,	PUNCT
ejpam-6379	458	11	δ5	δ5	NOUN
ejpam-6379	458	12	=	=	NOUN
ejpam-6379	458	13	0.1	0.1	NUM
ejpam-6379	458	14	and	and	CCONJ
ejpam-6379	458	15	δ6	δ6	NOUN
ejpam-6379	458	16	=	=	NOUN
ejpam-6379	458	17	0.1	0.1	NUM
ejpam-6379	458	18	and	and	CCONJ
ejpam-6379	458	19	for	for	ADP
ejpam-6379	458	20	the	the	DET
ejpam-6379	458	21	sensitivity	sensitivity	NOUN
ejpam-6379	458	22	analysis	analysis	NOUN
ejpam-6379	458	23	we	we	PRON
ejpam-6379	458	24	vary	vary	VERB
ejpam-6379	458	25	δ3	δ3	PROPN
ejpam-6379	458	26	and	and	CCONJ
ejpam-6379	458	27	δ4	δ4	PROPN
ejpam-6379	458	28	systematically	systematically	ADV
ejpam-6379	458	29	.	.	PUNCT
ejpam-6379	459	1	with	with	ADP
ejpam-6379	459	2	increasing	increase	VERB
ejpam-6379	459	3	noise	noise	NOUN
ejpam-6379	459	4	intensity	intensity	NOUN
ejpam-6379	459	5	(	(	PUNCT
ejpam-6379	459	6	0.05	0.05	NUM
ejpam-6379	459	7	≤	≤	NUM
ejpam-6379	459	8	δ3	δ3	PROPN
ejpam-6379	459	9	=	=	PROPN
ejpam-6379	459	10	δ4	δ4	PROPN
ejpam-6379	459	11	≤	≤	NOUN
ejpam-6379	459	12	0.3	0.3	NUM
ejpam-6379	459	13	)	)	PUNCT
ejpam-6379	459	14	,	,	PUNCT
ejpam-6379	459	15	the	the	DET
ejpam-6379	459	16	variation	variation	NOUN
ejpam-6379	459	17	in	in	ADP
ejpam-6379	459	18	trajectories	trajectory	NOUN
ejpam-6379	459	19	also	also	ADV
ejpam-6379	459	20	increases	increase	VERB
ejpam-6379	459	21	,	,	PUNCT
ejpam-6379	459	22	indicating	indicate	VERB
ejpam-6379	459	23	increasing	increase	VERB
ejpam-6379	459	24	prediction	prediction	NOUN
ejpam-6379	459	25	uncertainty	uncertainty	NOUN
ejpam-6379	459	26	for	for	ADP
ejpam-6379	459	27	both	both	DET
ejpam-6379	459	28	infection	infection	NOUN
ejpam-6379	459	29	and	and	CCONJ
ejpam-6379	459	30	hospitalization	hospitalization	NOUN
ejpam-6379	459	31	dynamics	dynamic	NOUN
ejpam-6379	459	32	.	.	PUNCT
ejpam-6379	460	1	this	this	DET
ejpam-6379	460	2	diffusion	diffusion	NOUN
ejpam-6379	460	3	shows	show	VERB
ejpam-6379	460	4	a	a	DET
ejpam-6379	460	5	method	method	NOUN
ejpam-6379	460	6	’s	’s	PART
ejpam-6379	460	7	dependency	dependency	NOUN
ejpam-6379	460	8	on	on	ADP
ejpam-6379	460	9	randomly	randomly	ADV
ejpam-6379	460	10	occurring	occur	VERB
ejpam-6379	460	11	perturbations	perturbation	NOUN
ejpam-6379	460	12	,	,	PUNCT
ejpam-6379	460	13	highlighting	highlight	VERB
ejpam-6379	460	14	the	the	DET
ejpam-6379	460	15	essential	essential	ADJ
ejpam-6379	460	16	significance	significance	NOUN
ejpam-6379	460	17	of	of	ADP
ejpam-6379	460	18	randomness	randomness	NOUN
ejpam-6379	460	19	originating	originate	VERB
ejpam-6379	460	20	from	from	ADP
ejpam-6379	460	21	the	the	DET
ejpam-6379	460	22	environment	environment	NOUN
ejpam-6379	460	23	and	and	CCONJ
ejpam-6379	460	24	behavior	behavior	NOUN
ejpam-6379	460	25	.	.	PUNCT
ejpam-6379	461	1	in	in	ADP
ejpam-6379	461	2	particular	particular	ADJ
ejpam-6379	461	3	,	,	PUNCT
ejpam-6379	461	4	larger	large	ADJ
ejpam-6379	461	5	levels	level	NOUN
ejpam-6379	461	6	of	of	ADP
ejpam-6379	461	7	noise	noise	NOUN
ejpam-6379	461	8	result	result	NOUN
ejpam-6379	461	9	in	in	ADP
ejpam-6379	461	10	more	more	ADJ
ejpam-6379	461	11	deviation	deviation	NOUN
ejpam-6379	461	12	from	from	ADP
ejpam-6379	461	13	the	the	DET
ejpam-6379	461	14	deterministic	deterministic	ADJ
ejpam-6379	461	15	mean	mean	NOUN
ejpam-6379	461	16	curve	curve	NOUN
ejpam-6379	461	17	,	,	PUNCT
ejpam-6379	461	18	showing	show	VERB
ejpam-6379	461	19	that	that	DET
ejpam-6379	461	20	randomness	randomness	NOUN
ejpam-6379	461	21	may	may	AUX
ejpam-6379	461	22	intensify	intensify	VERB
ejpam-6379	461	23	or	or	CCONJ
ejpam-6379	461	24	dampen	dampen	VERB
ejpam-6379	461	25	the	the	DET
ejpam-6379	461	26	impact	impact	NOUN
ejpam-6379	461	27	of	of	ADP
ejpam-6379	461	28	outbreaks	outbreak	NOUN
ejpam-6379	461	29	depending	depend	VERB
ejpam-6379	461	30	on	on	ADP
ejpam-6379	461	31	the	the	DET
ejpam-6379	461	32	initial	initial	ADJ
ejpam-6379	461	33	condition	condition	NOUN
ejpam-6379	461	34	and	and	CCONJ
ejpam-6379	461	35	the	the	DET
ejpam-6379	461	36	system	system	NOUN
ejpam-6379	461	37	behavior	behavior	NOUN
ejpam-6379	461	38	.	.	PUNCT
ejpam-6379	462	1	these	these	DET
ejpam-6379	462	2	results	result	NOUN
ejpam-6379	462	3	underscore	underscore	VERB
ejpam-6379	462	4	the	the	DET
ejpam-6379	462	5	need	need	NOUN
ejpam-6379	462	6	to	to	PART
ejpam-6379	462	7	consider	consider	VERB
ejpam-6379	462	8	uncertainty	uncertainty	NOUN
ejpam-6379	462	9	when	when	SCONJ
ejpam-6379	462	10	developing	develop	VERB
ejpam-6379	462	11	epidemic	epidemic	NOUN
ejpam-6379	462	12	forecasting	forecasting	NOUN
ejpam-6379	462	13	models	model	NOUN
ejpam-6379	462	14	and	and	CCONJ
ejpam-6379	462	15	devising	devise	VERB
ejpam-6379	462	16	resilient	resilient	ADJ
ejpam-6379	462	17	public	public	ADJ
ejpam-6379	462	18	health	health	NOUN
ejpam-6379	462	19	responses	response	NOUN
ejpam-6379	462	20	.	.	PUNCT
ejpam-6379	463	1	r.	r.	PROPN
ejpam-6379	463	2	saadeh	saadeh	PROPN
ejpam-6379	463	3	et	et	PROPN
ejpam-6379	463	4	al	al	PROPN
ejpam-6379	463	5	.	.	PUNCT
ejpam-6379	463	6	/	/	SYM
ejpam-6379	463	7	eur	eur	PROPN
ejpam-6379	463	8	.	.	PUNCT
ejpam-6379	464	1	j.	j.	PROPN
ejpam-6379	464	2	pure	pure	PROPN
ejpam-6379	464	3	appl	appl	PROPN
ejpam-6379	464	4	.	.	PROPN
ejpam-6379	464	5	math	math	PROPN
ejpam-6379	464	6	,	,	PUNCT
ejpam-6379	464	7	18	18	NUM
ejpam-6379	464	8	(	(	PUNCT
ejpam-6379	464	9	3	3	NUM
ejpam-6379	464	10	)	)	PUNCT
ejpam-6379	464	11	(	(	PUNCT
ejpam-6379	464	12	2025	2025	NUM
ejpam-6379	464	13	)	)	PUNCT
ejpam-6379	464	14	,	,	PUNCT
ejpam-6379	464	15	6379	6379	NUM
ejpam-6379	464	16	24	24	NUM
ejpam-6379	464	17	of	of	ADP
ejpam-6379	464	18	34	34	NUM
ejpam-6379	464	19	0	0	NUM
ejpam-6379	464	20	5	5	NUM
ejpam-6379	464	21	10	10	NUM
ejpam-6379	464	22	15	15	NUM
ejpam-6379	464	23	20	20	NUM
ejpam-6379	464	24	25	25	NUM
ejpam-6379	464	25	30	30	NUM
ejpam-6379	464	26	35	35	NUM
ejpam-6379	464	27	40	40	NUM
ejpam-6379	464	28	45	45	NUM
ejpam-6379	464	29	50	50	NUM
ejpam-6379	464	30	weeks	week	NOUN
ejpam-6379	464	31	0	0	NUM
ejpam-6379	464	32	250	250	NUM
ejpam-6379	464	33	500	500	NUM
ejpam-6379	464	34	750	750	NUM
ejpam-6379	464	35	1000	1000	NUM
ejpam-6379	464	36	1250	1250	NUM
ejpam-6379	464	37	1500	1500	NUM
ejpam-6379	464	38	1750	1750	NUM
ejpam-6379	464	39	i(t	i(t	NOUN
ejpam-6379	464	40	)	)	PUNCT
ejpam-6379	464	41	0	0	NUM
ejpam-6379	464	42	5	5	NUM
ejpam-6379	464	43	10	10	NUM
ejpam-6379	464	44	15	15	NUM
ejpam-6379	464	45	20	20	NUM
ejpam-6379	464	46	25	25	NUM
ejpam-6379	464	47	30	30	NUM
ejpam-6379	464	48	35	35	NUM
ejpam-6379	464	49	40	40	NUM
ejpam-6379	464	50	45	45	NUM
ejpam-6379	464	51	50	50	NUM
ejpam-6379	464	52	weeks	week	NOUN
ejpam-6379	464	53	0	0	NUM
ejpam-6379	464	54	50	50	NUM
ejpam-6379	464	55	100	100	NUM
ejpam-6379	464	56	150	150	NUM
ejpam-6379	464	57	200	200	NUM
ejpam-6379	464	58	i(t	i(t	NOUN
ejpam-6379	464	59	)	)	PUNCT
ejpam-6379	464	60	0	0	NUM
ejpam-6379	464	61	5	5	NUM
ejpam-6379	464	62	10	10	NUM
ejpam-6379	464	63	15	15	NUM
ejpam-6379	464	64	20	20	NUM
ejpam-6379	464	65	25	25	NUM
ejpam-6379	464	66	30	30	NUM
ejpam-6379	464	67	35	35	NUM
ejpam-6379	464	68	40	40	NUM
ejpam-6379	464	69	45	45	NUM
ejpam-6379	464	70	50	50	NUM
ejpam-6379	464	71	weeks	week	NOUN
ejpam-6379	464	72	2	2	NUM
ejpam-6379	464	73	4	4	NUM
ejpam-6379	464	74	6	6	NUM
ejpam-6379	464	75	8	8	NUM
ejpam-6379	464	76	10	10	NUM
ejpam-6379	464	77	i(t	i(t	NOUN
ejpam-6379	464	78	)	)	PUNCT
ejpam-6379	464	79	0	0	NUM
ejpam-6379	464	80	5	5	NUM
ejpam-6379	464	81	10	10	NUM
ejpam-6379	464	82	15	15	NUM
ejpam-6379	464	83	20	20	NUM
ejpam-6379	464	84	25	25	NUM
ejpam-6379	464	85	30	30	NUM
ejpam-6379	464	86	35	35	NUM
ejpam-6379	464	87	40	40	NUM
ejpam-6379	464	88	45	45	NUM
ejpam-6379	464	89	50	50	NUM
ejpam-6379	464	90	weeks	week	NOUN
ejpam-6379	464	91	0	0	NUM
ejpam-6379	464	92	1	1	NUM
ejpam-6379	464	93	2	2	NUM
ejpam-6379	464	94	3	3	NUM
ejpam-6379	464	95	4	4	NUM
ejpam-6379	464	96	i(t	i(t	NOUN
ejpam-6379	464	97	)	)	PUNCT
ejpam-6379	464	98	figure	figure	NOUN
ejpam-6379	464	99	5	5	NUM
ejpam-6379	464	100	:	:	PUNCT
ejpam-6379	464	101	stochastic	stochastic	ADJ
ejpam-6379	464	102	simulations	simulation	NOUN
ejpam-6379	464	103	with	with	ADP
ejpam-6379	464	104	varying	vary	VERB
ejpam-6379	464	105	β	β	NOUN
ejpam-6379	464	106	:	:	PUNCT
ejpam-6379	464	107	top	top	ADJ
ejpam-6379	464	108	—	—	PUNCT
ejpam-6379	464	109	β	β	X
ejpam-6379	464	110	=	=	SYM
ejpam-6379	464	111	0.5	0.5	NUM
ejpam-6379	464	112	and	and	CCONJ
ejpam-6379	464	113	0.4	0.4	NUM
ejpam-6379	464	114	yield	yield	VERB
ejpam-6379	464	115	higher	high	ADJ
ejpam-6379	464	116	peaks	peak	NOUN
ejpam-6379	464	117	(	(	PUNCT
ejpam-6379	464	118	801–1790	801–1790	NUM
ejpam-6379	464	119	and	and	CCONJ
ejpam-6379	464	120	170–236	170–236	NUM
ejpam-6379	464	121	cases	case	NOUN
ejpam-6379	464	122	)	)	PUNCT
ejpam-6379	464	123	;	;	PUNCT
ejpam-6379	464	124	bottom	bottom	NOUN
ejpam-6379	464	125	—	—	PUNCT
ejpam-6379	464	126	β	β	X
ejpam-6379	464	127	=	=	SYM
ejpam-6379	464	128	0.3	0.3	NUM
ejpam-6379	464	129	shows	show	VERB
ejpam-6379	464	130	minimal	minimal	ADJ
ejpam-6379	464	131	infections	infection	NOUN
ejpam-6379	464	132	,	,	PUNCT
ejpam-6379	464	133	while	while	SCONJ
ejpam-6379	464	134	β	β	X
ejpam-6379	464	135	=	=	NOUN
ejpam-6379	464	136	0.2	0.2	NUM
ejpam-6379	464	137	leads	lead	VERB
ejpam-6379	464	138	to	to	ADP
ejpam-6379	464	139	extinction	extinction	NOUN
ejpam-6379	464	140	.	.	PUNCT
ejpam-6379	465	1	figures5	figures5	PROPN
ejpam-6379	465	2	&	&	CCONJ
ejpam-6379	465	3	6	6	NUM
ejpam-6379	465	4	show	show	VERB
ejpam-6379	465	5	the	the	DET
ejpam-6379	465	6	effect	effect	NOUN
ejpam-6379	465	7	of	of	ADP
ejpam-6379	465	8	decreasing	decrease	VERB
ejpam-6379	465	9	the	the	DET
ejpam-6379	465	10	transmission	transmission	NOUN
ejpam-6379	465	11	rate	rate	NOUN
ejpam-6379	465	12	β	β	X
ejpam-6379	465	13	on	on	ADP
ejpam-6379	465	14	infection	infection	NOUN
ejpam-6379	465	15	and	and	CCONJ
ejpam-6379	465	16	hospitalization	hospitalization	NOUN
ejpam-6379	465	17	dynamics	dynamic	NOUN
ejpam-6379	465	18	over	over	ADP
ejpam-6379	465	19	52	52	NUM
ejpam-6379	465	20	weeks	week	NOUN
ejpam-6379	465	21	of	of	ADP
ejpam-6379	465	22	simulation	simulation	NOUN
ejpam-6379	465	23	.	.	PUNCT
ejpam-6379	466	1	figure	figure	NOUN
ejpam-6379	466	2	5	5	NUM
ejpam-6379	466	3	shows	show	VERB
ejpam-6379	466	4	the	the	DET
ejpam-6379	466	5	trajectories	trajectory	NOUN
ejpam-6379	466	6	of	of	ADP
ejpam-6379	466	7	the	the	DET
ejpam-6379	466	8	infection	infection	NOUN
ejpam-6379	466	9	:	:	PUNCT
ejpam-6379	466	10	•	•	NOUN
ejpam-6379	466	11	with	with	ADP
ejpam-6379	466	12	β	β	X
ejpam-6379	466	13	=	=	SYM
ejpam-6379	466	14	0.5	0.5	NUM
ejpam-6379	466	15	,	,	PUNCT
ejpam-6379	466	16	we	we	PRON
ejpam-6379	466	17	observed	observe	VERB
ejpam-6379	466	18	infections	infection	NOUN
ejpam-6379	466	19	peak	peak	VERB
ejpam-6379	466	20	during	during	ADP
ejpam-6379	466	21	weeks	week	NOUN
ejpam-6379	466	22	32–35	32–35	NUM
ejpam-6379	466	23	with	with	ADP
ejpam-6379	466	24	between	between	ADP
ejpam-6379	466	25	801	801	NUM
ejpam-6379	466	26	to	to	ADP
ejpam-6379	466	27	1790	1790	NUM
ejpam-6379	466	28	cases	case	NOUN
ejpam-6379	466	29	.	.	PUNCT
ejpam-6379	467	1	•	•	NUM
ejpam-6379	467	2	when	when	SCONJ
ejpam-6379	467	3	β	β	X
ejpam-6379	467	4	=	=	VERB
ejpam-6379	467	5	0.4	0.4	NUM
ejpam-6379	467	6	,	,	PUNCT
ejpam-6379	467	7	the	the	DET
ejpam-6379	467	8	peak	peak	NOUN
ejpam-6379	467	9	is	be	AUX
ejpam-6379	467	10	shifted	shift	VERB
ejpam-6379	467	11	to	to	ADP
ejpam-6379	467	12	between	between	ADP
ejpam-6379	467	13	weeks	week	NOUN
ejpam-6379	467	14	38–43	38–43	NUM
ejpam-6379	467	15	,	,	PUNCT
ejpam-6379	467	16	with	with	ADP
ejpam-6379	467	17	a	a	DET
ejpam-6379	467	18	height	height	NOUN
ejpam-6379	467	19	between	between	ADP
ejpam-6379	467	20	170–236	170–236	NUM
ejpam-6379	467	21	cases	case	NOUN
ejpam-6379	467	22	.	.	PUNCT
ejpam-6379	468	1	•	•	NUM
ejpam-6379	468	2	infectious	infectious	ADJ
ejpam-6379	468	3	peaks	peak	NOUN
ejpam-6379	468	4	are	be	AUX
ejpam-6379	468	5	much	much	ADV
ejpam-6379	468	6	lower	low	ADJ
ejpam-6379	468	7	and	and	CCONJ
ejpam-6379	468	8	estimated	estimate	VERB
ejpam-6379	468	9	at	at	ADP
ejpam-6379	468	10	11	11	NUM
ejpam-6379	468	11	cases	case	NOUN
ejpam-6379	468	12	at	at	ADP
ejpam-6379	468	13	β	β	X
ejpam-6379	468	14	=	=	SYM
ejpam-6379	468	15	0.3	0.3	NUM
ejpam-6379	468	16	.	.	PUNCT
ejpam-6379	469	1	•	•	NUM
ejpam-6379	469	2	when	when	SCONJ
ejpam-6379	469	3	β	β	X
ejpam-6379	469	4	=	=	NOUN
ejpam-6379	469	5	0.2	0.2	NUM
ejpam-6379	469	6	,	,	PUNCT
ejpam-6379	469	7	the	the	DET
ejpam-6379	469	8	infection	infection	NOUN
ejpam-6379	469	9	dies	die	VERB
ejpam-6379	469	10	out	out	ADV
ejpam-6379	469	11	:	:	PUNCT
ejpam-6379	469	12	it	it	PRON
ejpam-6379	469	13	goes	go	VERB
ejpam-6379	469	14	extinct	extinct	ADJ
ejpam-6379	469	15	.	.	PUNCT
ejpam-6379	470	1	figure	figure	NOUN
ejpam-6379	470	2	6	6	NUM
ejpam-6379	470	3	shows	show	VERB
ejpam-6379	470	4	the	the	DET
ejpam-6379	470	5	same	same	ADJ
ejpam-6379	470	6	statistics	statistic	NOUN
ejpam-6379	470	7	for	for	ADP
ejpam-6379	470	8	hospitalizations	hospitalization	NOUN
ejpam-6379	470	9	:	:	PUNCT
ejpam-6379	470	10	•	•	ADP
ejpam-6379	470	11	the	the	DET
ejpam-6379	470	12	parameter	parameter	NOUN
ejpam-6379	470	13	values	value	NOUN
ejpam-6379	470	14	that	that	PRON
ejpam-6379	470	15	provide	provide	VERB
ejpam-6379	470	16	β	β	X
ejpam-6379	470	17	=	=	SYM
ejpam-6379	470	18	0.5	0.5	NUM
ejpam-6379	470	19	and	and	CCONJ
ejpam-6379	470	20	β	β	X
ejpam-6379	470	21	=	=	SYM
ejpam-6379	470	22	0.4	0.4	NUM
ejpam-6379	470	23	lead	lead	NOUN
ejpam-6379	470	24	to	to	ADP
ejpam-6379	470	25	the	the	DET
ejpam-6379	470	26	cases	case	NOUN
ejpam-6379	470	27	peaking	peak	VERB
ejpam-6379	470	28	from	from	ADP
ejpam-6379	470	29	2305	2305	NUM
ejpam-6379	470	30	to	to	ADP
ejpam-6379	470	31	4659	4659	NUM
ejpam-6379	470	32	in	in	ADP
ejpam-6379	470	33	hospitals	hospital	NOUN
ejpam-6379	470	34	.	.	PUNCT
ejpam-6379	471	1	•	•	NUM
ejpam-6379	471	2	at	at	ADP
ejpam-6379	471	3	β	β	X
ejpam-6379	471	4	=	=	SYM
ejpam-6379	471	5	0.3	0.3	NUM
ejpam-6379	471	6	,	,	PUNCT
ejpam-6379	471	7	there	there	PRON
ejpam-6379	471	8	are	be	VERB
ejpam-6379	471	9	at	at	ADP
ejpam-6379	471	10	most	most	ADJ
ejpam-6379	471	11	32	32	NUM
ejpam-6379	471	12	new	new	ADJ
ejpam-6379	471	13	hospitalisations	hospitalisation	NOUN
ejpam-6379	471	14	in	in	ADP
ejpam-6379	471	15	a	a	DET
ejpam-6379	471	16	week	week	NOUN
ejpam-6379	471	17	.	.	PUNCT
ejpam-6379	472	1	r.	r.	PROPN
ejpam-6379	472	2	saadeh	saadeh	PROPN
ejpam-6379	472	3	et	et	PROPN
ejpam-6379	472	4	al	al	PROPN
ejpam-6379	472	5	.	.	PUNCT
ejpam-6379	472	6	/	/	SYM
ejpam-6379	472	7	eur	eur	PROPN
ejpam-6379	472	8	.	.	PUNCT
ejpam-6379	473	1	j.	j.	PROPN
ejpam-6379	473	2	pure	pure	PROPN
ejpam-6379	473	3	appl	appl	PROPN
ejpam-6379	473	4	.	.	PROPN
ejpam-6379	473	5	math	math	PROPN
ejpam-6379	473	6	,	,	PUNCT
ejpam-6379	473	7	18	18	NUM
ejpam-6379	473	8	(	(	PUNCT
ejpam-6379	473	9	3	3	NUM
ejpam-6379	473	10	)	)	PUNCT
ejpam-6379	473	11	(	(	PUNCT
ejpam-6379	473	12	2025	2025	NUM
ejpam-6379	473	13	)	)	PUNCT
ejpam-6379	473	14	,	,	PUNCT
ejpam-6379	473	15	6379	6379	NUM
ejpam-6379	473	16	25	25	NUM
ejpam-6379	473	17	of	of	ADP
ejpam-6379	473	18	34	34	NUM
ejpam-6379	473	19	0	0	NUM
ejpam-6379	473	20	5	5	NUM
ejpam-6379	473	21	10	10	NUM
ejpam-6379	473	22	15	15	NUM
ejpam-6379	473	23	20	20	NUM
ejpam-6379	473	24	25	25	NUM
ejpam-6379	473	25	30	30	NUM
ejpam-6379	473	26	35	35	NUM
ejpam-6379	473	27	40	40	NUM
ejpam-6379	473	28	45	45	NUM
ejpam-6379	473	29	50	50	NUM
ejpam-6379	473	30	weeks	week	NOUN
ejpam-6379	473	31	0	0	NUM
ejpam-6379	473	32	1000	1000	NUM
ejpam-6379	473	33	2000	2000	NUM
ejpam-6379	473	34	3000	3000	NUM
ejpam-6379	473	35	4000	4000	NUM
ejpam-6379	473	36	h	h	NOUN
ejpam-6379	473	37	(	(	PUNCT
ejpam-6379	473	38	t	t	PROPN
ejpam-6379	473	39	)	)	PUNCT
ejpam-6379	473	40	0	0	NUM
ejpam-6379	474	1	5	5	NUM
ejpam-6379	474	2	10	10	NUM
ejpam-6379	474	3	15	15	NUM
ejpam-6379	474	4	20	20	NUM
ejpam-6379	474	5	25	25	NUM
ejpam-6379	474	6	30	30	NUM
ejpam-6379	474	7	35	35	NUM
ejpam-6379	474	8	40	40	NUM
ejpam-6379	474	9	45	45	NUM
ejpam-6379	474	10	50	50	NUM
ejpam-6379	474	11	weeks	week	NOUN
ejpam-6379	474	12	0	0	NUM
ejpam-6379	474	13	100	100	NUM
ejpam-6379	474	14	200	200	NUM
ejpam-6379	474	15	300	300	NUM
ejpam-6379	474	16	400	400	NUM
ejpam-6379	474	17	500	500	NUM
ejpam-6379	474	18	600	600	NUM
ejpam-6379	474	19	700	700	NUM
ejpam-6379	474	20	h	h	NOUN
ejpam-6379	474	21	(	(	PUNCT
ejpam-6379	474	22	t	t	PROPN
ejpam-6379	474	23	)	)	PUNCT
ejpam-6379	474	24	0	0	NUM
ejpam-6379	474	25	5	5	NUM
ejpam-6379	474	26	10	10	NUM
ejpam-6379	474	27	15	15	NUM
ejpam-6379	474	28	20	20	NUM
ejpam-6379	474	29	25	25	NUM
ejpam-6379	474	30	30	30	NUM
ejpam-6379	474	31	35	35	NUM
ejpam-6379	474	32	40	40	NUM
ejpam-6379	474	33	45	45	NUM
ejpam-6379	474	34	50	50	NUM
ejpam-6379	474	35	weeks	week	NOUN
ejpam-6379	474	36	5	5	NUM
ejpam-6379	474	37	10	10	NUM
ejpam-6379	474	38	15	15	NUM
ejpam-6379	474	39	20	20	NUM
ejpam-6379	474	40	25	25	NUM
ejpam-6379	474	41	30	30	NUM
ejpam-6379	474	42	h	h	NOUN
ejpam-6379	474	43	(	(	PUNCT
ejpam-6379	474	44	t	t	PROPN
ejpam-6379	474	45	)	)	PUNCT
ejpam-6379	474	46	0	0	NUM
ejpam-6379	474	47	5	5	NUM
ejpam-6379	474	48	10	10	NUM
ejpam-6379	474	49	15	15	NUM
ejpam-6379	474	50	20	20	NUM
ejpam-6379	474	51	25	25	NUM
ejpam-6379	474	52	30	30	NUM
ejpam-6379	474	53	35	35	NUM
ejpam-6379	474	54	40	40	NUM
ejpam-6379	474	55	45	45	NUM
ejpam-6379	474	56	50	50	NUM
ejpam-6379	474	57	weeks	week	NOUN
ejpam-6379	474	58	0	0	NUM
ejpam-6379	474	59	1	1	NUM
ejpam-6379	474	60	2	2	NUM
ejpam-6379	474	61	3	3	NUM
ejpam-6379	474	62	4	4	NUM
ejpam-6379	474	63	h	h	NOUN
ejpam-6379	474	64	(	(	PUNCT
ejpam-6379	474	65	t	t	PROPN
ejpam-6379	474	66	)	)	PUNCT
ejpam-6379	474	67	figure	figure	NOUN
ejpam-6379	474	68	6	6	NUM
ejpam-6379	474	69	:	:	PUNCT
ejpam-6379	474	70	stochastic	stochastic	ADJ
ejpam-6379	474	71	simulations	simulation	NOUN
ejpam-6379	474	72	of	of	ADP
ejpam-6379	474	73	model	model	NOUN
ejpam-6379	474	74	(	(	PUNCT
ejpam-6379	474	75	2	2	NUM
ejpam-6379	474	76	)	)	PUNCT
ejpam-6379	474	77	for	for	ADP
ejpam-6379	474	78	varying	vary	VERB
ejpam-6379	474	79	transmission	transmission	NOUN
ejpam-6379	474	80	rates	rate	NOUN
ejpam-6379	474	81	β	β	NOUN
ejpam-6379	474	82	.	.	PUNCT
ejpam-6379	474	83	top	top	ADJ
ejpam-6379	474	84	:	:	PUNCT
ejpam-6379	474	85	(	(	PUNCT
ejpam-6379	474	86	left	leave	VERB
ejpam-6379	474	87	)	)	PUNCT
ejpam-6379	474	88	β	β	NOUN
ejpam-6379	474	89	=	=	SYM
ejpam-6379	474	90	0.5	0.5	NUM
ejpam-6379	474	91	,	,	PUNCT
ejpam-6379	474	92	hospitalizations	hospitalization	NOUN
ejpam-6379	474	93	peak	peak	VERB
ejpam-6379	474	94	between	between	ADP
ejpam-6379	474	95	2305	2305	NUM
ejpam-6379	474	96	and	and	CCONJ
ejpam-6379	474	97	4659	4659	NUM
ejpam-6379	474	98	cases	case	NOUN
ejpam-6379	474	99	;	;	PUNCT
ejpam-6379	474	100	(	(	PUNCT
ejpam-6379	474	101	right	right	INTJ
ejpam-6379	474	102	)	)	PUNCT
ejpam-6379	474	103	β	β	NOUN
ejpam-6379	475	1	=	=	PUNCT
ejpam-6379	475	2	0.4	0.4	NUM
ejpam-6379	475	3	,	,	PUNCT
ejpam-6379	475	4	similar	similar	ADJ
ejpam-6379	475	5	peak	peak	NOUN
ejpam-6379	475	6	range	range	NOUN
ejpam-6379	475	7	observed	observe	VERB
ejpam-6379	475	8	.	.	PUNCT
ejpam-6379	476	1	bottom	bottom	NOUN
ejpam-6379	476	2	:	:	PUNCT
ejpam-6379	476	3	(	(	PUNCT
ejpam-6379	476	4	left	leave	VERB
ejpam-6379	476	5	)	)	PUNCT
ejpam-6379	476	6	β	β	X
ejpam-6379	476	7	=	=	PUNCT
ejpam-6379	476	8	0.3	0.3	NUM
ejpam-6379	476	9	,	,	PUNCT
ejpam-6379	476	10	peak	peak	ADJ
ejpam-6379	476	11	hospital	hospital	NOUN
ejpam-6379	476	12	cases	case	NOUN
ejpam-6379	476	13	limited	limit	VERB
ejpam-6379	476	14	to	to	ADP
ejpam-6379	476	15	32	32	NUM
ejpam-6379	476	16	;	;	PUNCT
ejpam-6379	476	17	(	(	PUNCT
ejpam-6379	476	18	right	right	INTJ
ejpam-6379	476	19	)	)	PUNCT
ejpam-6379	476	20	β	β	NOUN
ejpam-6379	477	1	=	=	PUNCT
ejpam-6379	477	2	0.2	0.2	NUM
ejpam-6379	477	3	,	,	PUNCT
ejpam-6379	477	4	the	the	DET
ejpam-6379	477	5	epidemic	epidemic	NOUN
ejpam-6379	477	6	fades	fade	VERB
ejpam-6379	477	7	out	out	ADP
ejpam-6379	477	8	.	.	PUNCT
ejpam-6379	478	1	•	•	NUM
ejpam-6379	478	2	for	for	ADP
ejpam-6379	478	3	β	β	X
ejpam-6379	478	4	=	=	SYM
ejpam-6379	478	5	0.2	0.2	NUM
ejpam-6379	478	6	the	the	DET
ejpam-6379	478	7	disease	disease	NOUN
ejpam-6379	478	8	vanishes	vanish	VERB
ejpam-6379	478	9	completely	completely	ADV
ejpam-6379	478	10	.	.	PUNCT
ejpam-6379	479	1	these	these	DET
ejpam-6379	479	2	simulations	simulation	NOUN
ejpam-6379	479	3	verify	verify	VERB
ejpam-6379	479	4	that	that	SCONJ
ejpam-6379	479	5	large	large	ADJ
ejpam-6379	479	6	β	β	NOUN
ejpam-6379	479	7	causes	cause	VERB
ejpam-6379	479	8	early	early	ADJ
ejpam-6379	479	9	and	and	CCONJ
ejpam-6379	479	10	strong	strong	ADJ
ejpam-6379	479	11	outbreaks	outbreak	NOUN
ejpam-6379	479	12	,	,	PUNCT
ejpam-6379	479	13	while	while	SCONJ
ejpam-6379	479	14	small	small	ADJ
ejpam-6379	479	15	β	β	X
ejpam-6379	479	16	suppresses	suppress	VERB
ejpam-6379	479	17	transmission	transmission	NOUN
ejpam-6379	479	18	.	.	PUNCT
ejpam-6379	480	1	this	this	DET
ejpam-6379	480	2	sensitivity	sensitivity	NOUN
ejpam-6379	480	3	analysis	analysis	NOUN
ejpam-6379	480	4	highlights	highlight	VERB
ejpam-6379	480	5	the	the	DET
ejpam-6379	480	6	importance	importance	NOUN
ejpam-6379	480	7	of	of	ADP
ejpam-6379	480	8	the	the	DET
ejpam-6379	480	9	transmission	transmission	NOUN
ejpam-6379	480	10	parameter	parameter	NOUN
ejpam-6379	480	11	to	to	PART
ejpam-6379	480	12	determine	determine	VERB
ejpam-6379	480	13	outbreak	outbreak	NOUN
ejpam-6379	480	14	size	size	NOUN
ejpam-6379	480	15	and	and	CCONJ
ejpam-6379	480	16	guide	guide	VERB
ejpam-6379	480	17	intervention	intervention	NOUN
ejpam-6379	480	18	efforts	effort	NOUN
ejpam-6379	480	19	under	under	ADP
ejpam-6379	480	20	the	the	DET
ejpam-6379	480	21	public	public	ADJ
ejpam-6379	480	22	health	health	NOUN
ejpam-6379	480	23	strategy	strategy	NOUN
ejpam-6379	480	24	.	.	PUNCT
ejpam-6379	481	1	r.	r.	PROPN
ejpam-6379	481	2	saadeh	saadeh	PROPN
ejpam-6379	481	3	et	et	PROPN
ejpam-6379	481	4	al	al	PROPN
ejpam-6379	481	5	.	.	PUNCT
ejpam-6379	481	6	/	/	SYM
ejpam-6379	481	7	eur	eur	PROPN
ejpam-6379	481	8	.	.	PUNCT
ejpam-6379	482	1	j.	j.	PROPN
ejpam-6379	482	2	pure	pure	PROPN
ejpam-6379	482	3	appl	appl	PROPN
ejpam-6379	482	4	.	.	PROPN
ejpam-6379	482	5	math	math	PROPN
ejpam-6379	482	6	,	,	PUNCT
ejpam-6379	482	7	18	18	NUM
ejpam-6379	482	8	(	(	PUNCT
ejpam-6379	482	9	3	3	NUM
ejpam-6379	482	10	)	)	PUNCT
ejpam-6379	482	11	(	(	PUNCT
ejpam-6379	482	12	2025	2025	NUM
ejpam-6379	482	13	)	)	PUNCT
ejpam-6379	482	14	,	,	PUNCT
ejpam-6379	482	15	6379	6379	NUM
ejpam-6379	482	16	26	26	NUM
ejpam-6379	482	17	of	of	ADP
ejpam-6379	482	18	34	34	NUM
ejpam-6379	482	19	0	0	NUM
ejpam-6379	482	20	5	5	NUM
ejpam-6379	482	21	10	10	NUM
ejpam-6379	482	22	15	15	NUM
ejpam-6379	482	23	20	20	NUM
ejpam-6379	482	24	25	25	NUM
ejpam-6379	482	25	30	30	NUM
ejpam-6379	482	26	35	35	NUM
ejpam-6379	482	27	40	40	NUM
ejpam-6379	482	28	45	45	NUM
ejpam-6379	482	29	50	50	NUM
ejpam-6379	482	30	weeks	week	NOUN
ejpam-6379	482	31	0	0	NUM
ejpam-6379	482	32	50	50	NUM
ejpam-6379	482	33	100	100	NUM
ejpam-6379	482	34	150	150	NUM
ejpam-6379	482	35	200	200	NUM
ejpam-6379	482	36	250	250	NUM
ejpam-6379	482	37	300	300	NUM
ejpam-6379	482	38	i(t	i(t	NOUN
ejpam-6379	482	39	)	)	PUNCT
ejpam-6379	482	40	0	0	NUM
ejpam-6379	482	41	5	5	NUM
ejpam-6379	482	42	10	10	NUM
ejpam-6379	482	43	15	15	NUM
ejpam-6379	482	44	20	20	NUM
ejpam-6379	482	45	25	25	NUM
ejpam-6379	482	46	30	30	NUM
ejpam-6379	482	47	35	35	NUM
ejpam-6379	482	48	40	40	NUM
ejpam-6379	482	49	45	45	NUM
ejpam-6379	482	50	50	50	NUM
ejpam-6379	482	51	weeks	week	NOUN
ejpam-6379	482	52	0	0	NUM
ejpam-6379	482	53	5	5	NUM
ejpam-6379	482	54	10	10	NUM
ejpam-6379	482	55	15	15	NUM
ejpam-6379	482	56	20	20	NUM
ejpam-6379	482	57	25	25	NUM
ejpam-6379	482	58	30	30	NUM
ejpam-6379	482	59	35	35	NUM
ejpam-6379	482	60	40	40	NUM
ejpam-6379	482	61	i(t	i(t	NOUN
ejpam-6379	482	62	)	)	PUNCT
ejpam-6379	482	63	0	0	NUM
ejpam-6379	482	64	5	5	NUM
ejpam-6379	482	65	10	10	NUM
ejpam-6379	482	66	15	15	NUM
ejpam-6379	482	67	20	20	NUM
ejpam-6379	482	68	25	25	NUM
ejpam-6379	482	69	30	30	NUM
ejpam-6379	482	70	35	35	NUM
ejpam-6379	482	71	40	40	NUM
ejpam-6379	482	72	45	45	NUM
ejpam-6379	482	73	50	50	NUM
ejpam-6379	482	74	weeks	week	NOUN
ejpam-6379	482	75	0	0	NUM
ejpam-6379	482	76	2	2	NUM
ejpam-6379	482	77	4	4	NUM
ejpam-6379	482	78	6	6	NUM
ejpam-6379	482	79	8	8	NUM
ejpam-6379	482	80	10	10	NUM
ejpam-6379	482	81	12	12	NUM
ejpam-6379	482	82	i(t	i(t	NOUN
ejpam-6379	482	83	)	)	PUNCT
ejpam-6379	482	84	0	0	NUM
ejpam-6379	482	85	5	5	NUM
ejpam-6379	482	86	10	10	NUM
ejpam-6379	482	87	15	15	NUM
ejpam-6379	482	88	20	20	NUM
ejpam-6379	482	89	25	25	NUM
ejpam-6379	482	90	30	30	NUM
ejpam-6379	482	91	35	35	NUM
ejpam-6379	482	92	40	40	NUM
ejpam-6379	482	93	45	45	NUM
ejpam-6379	482	94	50	50	NUM
ejpam-6379	482	95	weeks	week	NOUN
ejpam-6379	482	96	0	0	NUM
ejpam-6379	482	97	1	1	NUM
ejpam-6379	482	98	2	2	NUM
ejpam-6379	482	99	3	3	NUM
ejpam-6379	482	100	4	4	NUM
ejpam-6379	482	101	5	5	NUM
ejpam-6379	482	102	i(t	i(t	NOUN
ejpam-6379	482	103	)	)	PUNCT
ejpam-6379	482	104	figure	figure	NOUN
ejpam-6379	482	105	7	7	NUM
ejpam-6379	482	106	:	:	PUNCT
ejpam-6379	482	107	stochastic	stochastic	ADJ
ejpam-6379	482	108	simulations	simulation	NOUN
ejpam-6379	482	109	of	of	ADP
ejpam-6379	482	110	model	model	NOUN
ejpam-6379	482	111	(	(	PUNCT
ejpam-6379	482	112	2	2	NUM
ejpam-6379	482	113	)	)	PUNCT
ejpam-6379	482	114	for	for	ADP
ejpam-6379	482	115	varying	vary	VERB
ejpam-6379	482	116	α	α	NOUN
ejpam-6379	482	117	.	.	PUNCT
ejpam-6379	483	1	as	as	SCONJ
ejpam-6379	483	2	α	α	PROPN
ejpam-6379	483	3	increases	increase	VERB
ejpam-6379	483	4	from	from	ADP
ejpam-6379	483	5	0.1	0.1	NUM
ejpam-6379	483	6	to	to	ADP
ejpam-6379	483	7	0.7	0.7	NUM
ejpam-6379	483	8	,	,	PUNCT
ejpam-6379	483	9	peak	peak	NOUN
ejpam-6379	483	10	infections	infection	NOUN
ejpam-6379	483	11	occur	occur	VERB
ejpam-6379	483	12	earlier	early	ADV
ejpam-6379	483	13	and	and	CCONJ
ejpam-6379	483	14	total	total	ADJ
ejpam-6379	483	15	cases	case	NOUN
ejpam-6379	483	16	decrease	decrease	VERB
ejpam-6379	483	17	,	,	PUNCT
ejpam-6379	483	18	indicating	indicate	VERB
ejpam-6379	483	19	faster	fast	ADJ
ejpam-6379	483	20	disease	disease	NOUN
ejpam-6379	483	21	extinction	extinction	NOUN
ejpam-6379	483	22	.	.	PUNCT
ejpam-6379	484	1	r.	r.	PROPN
ejpam-6379	484	2	saadeh	saadeh	PROPN
ejpam-6379	484	3	et	et	PROPN
ejpam-6379	484	4	al	al	PROPN
ejpam-6379	484	5	.	.	PUNCT
ejpam-6379	484	6	/	/	SYM
ejpam-6379	484	7	eur	eur	PROPN
ejpam-6379	484	8	.	.	PUNCT
ejpam-6379	485	1	j.	j.	PROPN
ejpam-6379	485	2	pure	pure	PROPN
ejpam-6379	485	3	appl	appl	PROPN
ejpam-6379	485	4	.	.	PROPN
ejpam-6379	485	5	math	math	PROPN
ejpam-6379	485	6	,	,	PUNCT
ejpam-6379	485	7	18	18	NUM
ejpam-6379	485	8	(	(	PUNCT
ejpam-6379	485	9	3	3	NUM
ejpam-6379	485	10	)	)	PUNCT
ejpam-6379	485	11	(	(	PUNCT
ejpam-6379	485	12	2025	2025	NUM
ejpam-6379	485	13	)	)	PUNCT
ejpam-6379	485	14	,	,	PUNCT
ejpam-6379	485	15	6379	6379	NUM
ejpam-6379	485	16	27	27	NUM
ejpam-6379	485	17	of	of	ADP
ejpam-6379	485	18	34	34	NUM
ejpam-6379	485	19	0	0	NUM
ejpam-6379	485	20	5	5	NUM
ejpam-6379	485	21	10	10	NUM
ejpam-6379	485	22	15	15	NUM
ejpam-6379	485	23	20	20	NUM
ejpam-6379	485	24	25	25	NUM
ejpam-6379	485	25	30	30	NUM
ejpam-6379	485	26	35	35	NUM
ejpam-6379	485	27	40	40	NUM
ejpam-6379	485	28	45	45	NUM
ejpam-6379	485	29	50	50	NUM
ejpam-6379	485	30	weeks	week	NOUN
ejpam-6379	485	31	0	0	NUM
ejpam-6379	485	32	100	100	NUM
ejpam-6379	485	33	200	200	NUM
ejpam-6379	485	34	300	300	NUM
ejpam-6379	485	35	400	400	NUM
ejpam-6379	485	36	500	500	NUM
ejpam-6379	485	37	600	600	NUM
ejpam-6379	485	38	700	700	NUM
ejpam-6379	485	39	h	h	NOUN
ejpam-6379	485	40	(	(	PUNCT
ejpam-6379	485	41	t	t	PROPN
ejpam-6379	485	42	)	)	PUNCT
ejpam-6379	485	43	0	0	NUM
ejpam-6379	486	1	5	5	NUM
ejpam-6379	486	2	10	10	NUM
ejpam-6379	486	3	15	15	NUM
ejpam-6379	486	4	20	20	NUM
ejpam-6379	486	5	25	25	NUM
ejpam-6379	486	6	30	30	NUM
ejpam-6379	486	7	35	35	NUM
ejpam-6379	486	8	40	40	NUM
ejpam-6379	486	9	45	45	NUM
ejpam-6379	486	10	50	50	NUM
ejpam-6379	486	11	weeks	week	NOUN
ejpam-6379	486	12	0	0	NUM
ejpam-6379	486	13	20	20	NUM
ejpam-6379	486	14	40	40	NUM
ejpam-6379	486	15	60	60	NUM
ejpam-6379	486	16	80	80	NUM
ejpam-6379	486	17	100	100	NUM
ejpam-6379	486	18	120	120	NUM
ejpam-6379	486	19	h	h	NOUN
ejpam-6379	486	20	(	(	PUNCT
ejpam-6379	486	21	t	t	PROPN
ejpam-6379	486	22	)	)	PUNCT
ejpam-6379	486	23	0	0	NUM
ejpam-6379	486	24	5	5	NUM
ejpam-6379	486	25	10	10	NUM
ejpam-6379	486	26	15	15	NUM
ejpam-6379	486	27	20	20	NUM
ejpam-6379	486	28	25	25	NUM
ejpam-6379	486	29	30	30	NUM
ejpam-6379	486	30	35	35	NUM
ejpam-6379	486	31	40	40	NUM
ejpam-6379	486	32	45	45	NUM
ejpam-6379	486	33	50	50	NUM
ejpam-6379	486	34	weeks	week	NOUN
ejpam-6379	486	35	0	0	NUM
ejpam-6379	486	36	10	10	NUM
ejpam-6379	486	37	20	20	NUM
ejpam-6379	486	38	30	30	NUM
ejpam-6379	486	39	40	40	NUM
ejpam-6379	486	40	h	h	NOUN
ejpam-6379	486	41	(	(	PUNCT
ejpam-6379	486	42	t	t	PROPN
ejpam-6379	486	43	)	)	PUNCT
ejpam-6379	486	44	0	0	NUM
ejpam-6379	486	45	5	5	NUM
ejpam-6379	486	46	10	10	NUM
ejpam-6379	486	47	15	15	NUM
ejpam-6379	486	48	20	20	NUM
ejpam-6379	486	49	25	25	NUM
ejpam-6379	486	50	30	30	NUM
ejpam-6379	486	51	35	35	NUM
ejpam-6379	486	52	40	40	NUM
ejpam-6379	486	53	45	45	NUM
ejpam-6379	486	54	50	50	NUM
ejpam-6379	486	55	weeks	week	NOUN
ejpam-6379	486	56	2.5	2.5	NUM
ejpam-6379	486	57	5.0	5.0	NUM
ejpam-6379	486	58	7.5	7.5	NUM
ejpam-6379	486	59	10.0	10.0	NUM
ejpam-6379	486	60	12.5	12.5	NUM
ejpam-6379	486	61	15.0	15.0	NUM
ejpam-6379	486	62	17.5	17.5	NUM
ejpam-6379	486	63	20.0	20.0	NUM
ejpam-6379	486	64	h	h	NOUN
ejpam-6379	486	65	(	(	PUNCT
ejpam-6379	486	66	t	t	PROPN
ejpam-6379	486	67	)	)	PUNCT
ejpam-6379	486	68	figure	figure	NOUN
ejpam-6379	486	69	8	8	NUM
ejpam-6379	486	70	:	:	PUNCT
ejpam-6379	486	71	stochastic	stochastic	ADJ
ejpam-6379	486	72	model	model	NOUN
ejpam-6379	486	73	(	(	PUNCT
ejpam-6379	486	74	2	2	NUM
ejpam-6379	486	75	)	)	PUNCT
ejpam-6379	486	76	with	with	ADP
ejpam-6379	486	77	varying	vary	VERB
ejpam-6379	486	78	α	α	PROPN
ejpam-6379	486	79	.	.	PUNCT
ejpam-6379	486	80	higher	high	ADJ
ejpam-6379	486	81	α	α	PROPN
ejpam-6379	486	82	leads	lead	VERB
ejpam-6379	486	83	to	to	ADP
ejpam-6379	486	84	earlier	early	ADV
ejpam-6379	486	85	,	,	PUNCT
ejpam-6379	486	86	smaller	small	ADJ
ejpam-6379	486	87	peaks	peak	NOUN
ejpam-6379	486	88	in	in	ADP
ejpam-6379	486	89	hospital	hospital	NOUN
ejpam-6379	486	90	cases	case	NOUN
ejpam-6379	486	91	,	,	PUNCT
ejpam-6379	486	92	decreasing	decrease	VERB
ejpam-6379	486	93	from	from	ADP
ejpam-6379	486	94	678	678	NUM
ejpam-6379	486	95	(	(	PUNCT
ejpam-6379	486	96	α	α	NOUN
ejpam-6379	486	97	=	=	NOUN
ejpam-6379	486	98	0.1	0.1	NUM
ejpam-6379	486	99	)	)	PUNCT
ejpam-6379	486	100	to	to	ADP
ejpam-6379	486	101	21	21	NUM
ejpam-6379	486	102	(	(	PUNCT
ejpam-6379	486	103	α	α	NOUN
ejpam-6379	486	104	=	=	NOUN
ejpam-6379	486	105	0.7	0.7	NUM
ejpam-6379	486	106	)	)	PUNCT
ejpam-6379	486	107	.	.	PUNCT
ejpam-6379	487	1	the	the	DET
ejpam-6379	487	2	effect	effect	NOUN
ejpam-6379	487	3	of	of	ADP
ejpam-6379	487	4	the	the	DET
ejpam-6379	487	5	recovery	recovery	NOUN
ejpam-6379	487	6	rate	rate	NOUN
ejpam-6379	487	7	α	α	PROPN
ejpam-6379	487	8	is	be	AUX
ejpam-6379	487	9	depicted	depict	VERB
ejpam-6379	487	10	in	in	ADP
ejpam-6379	487	11	figures	figure	NOUN
ejpam-6379	487	12	7–10	7–10	PROPN
ejpam-6379	487	13	on	on	ADP
ejpam-6379	487	14	the	the	DET
ejpam-6379	487	15	infection	infection	NOUN
ejpam-6379	487	16	and	and	CCONJ
ejpam-6379	487	17	hospitalization	hospitalization	NOUN
ejpam-6379	487	18	dynamics	dynamic	NOUN
ejpam-6379	487	19	for	for	ADP
ejpam-6379	487	20	52	52	NUM
ejpam-6379	487	21	weeks	week	NOUN
ejpam-6379	487	22	.	.	PUNCT
ejpam-6379	488	1	infection	infection	NOUN
ejpam-6379	488	2	paths	path	NOUN
ejpam-6379	488	3	as	as	SCONJ
ejpam-6379	488	4	α	α	NOUN
ejpam-6379	488	5	increases	increase	NOUN
ejpam-6379	488	6	are	be	AUX
ejpam-6379	488	7	visualized	visualize	VERB
ejpam-6379	488	8	in	in	ADP
ejpam-6379	488	9	figure	figure	NOUN
ejpam-6379	488	10	7	7	NUM
ejpam-6379	488	11	.	.	PUNCT
ejpam-6379	488	12	for	for	ADP
ejpam-6379	488	13	α	α	NOUN
ejpam-6379	488	14	=	=	SYM
ejpam-6379	488	15	0.1	0.1	NUM
ejpam-6379	488	16	,	,	PUNCT
ejpam-6379	488	17	infections	infection	NOUN
ejpam-6379	488	18	are	be	AUX
ejpam-6379	488	19	maintained	maintain	VERB
ejpam-6379	488	20	with	with	ADP
ejpam-6379	488	21	number	number	NOUN
ejpam-6379	488	22	of	of	ADP
ejpam-6379	488	23	the	the	DET
ejpam-6379	488	24	cases	case	NOUN
ejpam-6379	488	25	ranging	range	VERB
ejpam-6379	488	26	from	from	ADP
ejpam-6379	488	27	123	123	NUM
ejpam-6379	488	28	to	to	ADP
ejpam-6379	488	29	305	305	NUM
ejpam-6379	488	30	.	.	PUNCT
ejpam-6379	489	1	in	in	ADP
ejpam-6379	489	2	this	this	DET
ejpam-6379	489	3	case	case	NOUN
ejpam-6379	489	4	,	,	PUNCT
ejpam-6379	489	5	for	for	ADP
ejpam-6379	489	6	α	α	NOUN
ejpam-6379	489	7	=	=	SYM
ejpam-6379	489	8	0.5	0.5	NUM
ejpam-6379	489	9	,	,	PUNCT
ejpam-6379	489	10	0.7	0.7	NUM
ejpam-6379	489	11	,	,	PUNCT
ejpam-6379	489	12	the	the	DET
ejpam-6379	489	13	peak	peak	NOUN
ejpam-6379	489	14	moves	move	VERB
ejpam-6379	489	15	to	to	ADP
ejpam-6379	489	16	an	an	DET
ejpam-6379	489	17	earlier	early	ADJ
ejpam-6379	489	18	time	time	NOUN
ejpam-6379	489	19	and	and	CCONJ
ejpam-6379	489	20	the	the	DET
ejpam-6379	489	21	total	total	ADJ
ejpam-6379	489	22	infection	infection	NOUN
ejpam-6379	489	23	decreases	decrease	VERB
ejpam-6379	489	24	albeit	albeit	SCONJ
ejpam-6379	489	25	naturally	naturally	ADV
ejpam-6379	489	26	(	(	PUNCT
ejpam-6379	489	27	the	the	DET
ejpam-6379	489	28	recovery	recovery	NOUN
ejpam-6379	489	29	occurs	occur	VERB
ejpam-6379	489	30	faster	fast	ADV
ejpam-6379	489	31	)	)	PUNCT
ejpam-6379	489	32	.	.	PUNCT
ejpam-6379	490	1	hospitalizations	hospitalization	NOUN
ejpam-6379	490	2	are	be	AUX
ejpam-6379	490	3	presented	present	VERB
ejpam-6379	490	4	in	in	ADP
ejpam-6379	490	5	fig	fig	NOUN
ejpam-6379	490	6	8	8	NUM
ejpam-6379	490	7	.	.	PUNCT
ejpam-6379	491	1	for	for	ADP
ejpam-6379	491	2	α	α	NOUN
ejpam-6379	491	3	=	=	SYM
ejpam-6379	491	4	0.1	0.1	NUM
ejpam-6379	491	5	,	,	PUNCT
ejpam-6379	491	6	the	the	DET
ejpam-6379	491	7	peak	peak	NOUN
ejpam-6379	491	8	hospitalizations	hospitalization	NOUN
ejpam-6379	491	9	range	range	VERB
ejpam-6379	491	10	from	from	ADP
ejpam-6379	491	11	320	320	NUM
ejpam-6379	491	12	to	to	PART
ejpam-6379	491	13	678	678	NUM
ejpam-6379	491	14	.	.	PUNCT
ejpam-6379	492	1	larger	large	ADJ
ejpam-6379	492	2	α	α	PROPN
ejpam-6379	492	3	values	value	NOUN
ejpam-6379	492	4	give	give	VERB
ejpam-6379	492	5	rise	rise	NOUN
ejpam-6379	492	6	to	to	ADP
ejpam-6379	492	7	lower	low	ADJ
ejpam-6379	492	8	and	and	CCONJ
ejpam-6379	492	9	earlier	early	ADJ
ejpam-6379	492	10	peaks	peak	NOUN
ejpam-6379	492	11	,	,	PUNCT
ejpam-6379	492	12	while	while	SCONJ
ejpam-6379	492	13	deaths	death	NOUN
ejpam-6379	492	14	in	in	ADP
ejpam-6379	492	15	hospital	hospital	NOUN
ejpam-6379	492	16	have	have	AUX
ejpam-6379	492	17	decreased	decrease	VERB
ejpam-6379	492	18	considerably	considerably	ADV
ejpam-6379	492	19	by	by	ADP
ejpam-6379	492	20	α	α	X
ejpam-6379	492	21	=	=	SYM
ejpam-6379	492	22	0.7	0.7	NUM
ejpam-6379	492	23	.	.	NOUN
ejpam-6379	492	24	9	9	NUM
ejpam-6379	492	25	dives	dive	NOUN
ejpam-6379	492	26	into	into	ADP
ejpam-6379	492	27	infection	infection	NOUN
ejpam-6379	492	28	heterogeneities	heterogeneity	NOUN
ejpam-6379	492	29	at	at	ADP
ejpam-6379	492	30	α	α	NOUN
ejpam-6379	492	31	=	=	SYM
ejpam-6379	492	32	0.9	0.9	NUM
ejpam-6379	492	33	,	,	PUNCT
ejpam-6379	492	34	0.7	0.7	NUM
ejpam-6379	492	35	,	,	PUNCT
ejpam-6379	492	36	0.5	0.5	NUM
ejpam-6379	492	37	,	,	PUNCT
ejpam-6379	492	38	and	and	CCONJ
ejpam-6379	492	39	0.3	0.3	NUM
ejpam-6379	492	40	.	.	PUNCT
ejpam-6379	493	1	a	a	DET
ejpam-6379	493	2	larger	large	ADJ
ejpam-6379	493	3	α	α	NOUN
ejpam-6379	493	4	corresponds	correspond	VERB
ejpam-6379	493	5	to	to	ADP
ejpam-6379	493	6	sharper	sharp	ADJ
ejpam-6379	493	7	peaks	peak	NOUN
ejpam-6379	493	8	and	and	CCONJ
ejpam-6379	493	9	peaks	peak	NOUN
ejpam-6379	493	10	that	that	PRON
ejpam-6379	493	11	occur	occur	VERB
ejpam-6379	493	12	earlier	early	ADV
ejpam-6379	493	13	in	in	ADP
ejpam-6379	493	14	time	time	NOUN
ejpam-6379	493	15	,	,	PUNCT
ejpam-6379	493	16	and	and	CCONJ
ejpam-6379	493	17	also	also	ADV
ejpam-6379	493	18	to	to	ADP
ejpam-6379	493	19	fewer	few	ADJ
ejpam-6379	493	20	total	total	ADJ
ejpam-6379	493	21	cases	case	NOUN
ejpam-6379	493	22	,	,	PUNCT
ejpam-6379	493	23	emphasizing	emphasize	VERB
ejpam-6379	493	24	the	the	DET
ejpam-6379	493	25	role	role	NOUN
ejpam-6379	493	26	of	of	ADP
ejpam-6379	493	27	rapid	rapid	ADJ
ejpam-6379	493	28	recovery	recovery	NOUN
ejpam-6379	493	29	in	in	ADP
ejpam-6379	493	30	outbreak	outbreak	NOUN
ejpam-6379	493	31	suppression	suppression	NOUN
ejpam-6379	493	32	.	.	PUNCT
ejpam-6379	494	1	figure	figure	VERB
ejpam-6379	494	2	10	10	NUM
ejpam-6379	494	3	verifies	verifie	NOUN
ejpam-6379	494	4	the	the	DET
ejpam-6379	494	5	above	above	ADJ
ejpam-6379	494	6	pattern	pattern	NOUN
ejpam-6379	494	7	for	for	ADP
ejpam-6379	494	8	hospital	hospital	NOUN
ejpam-6379	494	9	cases	case	NOUN
ejpam-6379	494	10	.	.	PUNCT
ejpam-6379	495	1	with	with	ADP
ejpam-6379	495	2	α	α	PROPN
ejpam-6379	495	3	=	=	SYM
ejpam-6379	495	4	0.3	0.3	NUM
ejpam-6379	495	5	and	and	CCONJ
ejpam-6379	495	6	0.5	0.5	NUM
ejpam-6379	495	7	,	,	PUNCT
ejpam-6379	495	8	hospital	hospital	NOUN
ejpam-6379	495	9	burdens	burden	NOUN
ejpam-6379	495	10	are	be	AUX
ejpam-6379	495	11	small	small	ADJ
ejpam-6379	495	12	,	,	PUNCT
ejpam-6379	495	13	but	but	CCONJ
ejpam-6379	495	14	α	α	X
ejpam-6379	495	15	=	=	NOUN
ejpam-6379	495	16	0.9	0.9	NUM
ejpam-6379	495	17	leads	lead	VERB
ejpam-6379	495	18	to	to	PART
ejpam-6379	495	19	brief	brief	VERB
ejpam-6379	495	20	yet	yet	CCONJ
ejpam-6379	495	21	intense	intense	ADJ
ejpam-6379	495	22	peaks	peak	NOUN
ejpam-6379	495	23	.	.	PUNCT
ejpam-6379	496	1	collectively	collectively	ADV
ejpam-6379	496	2	,	,	PUNCT
ejpam-6379	496	3	higher	high	ADJ
ejpam-6379	496	4	α	α	PROPN
ejpam-6379	496	5	leads	lead	VERB
ejpam-6379	496	6	to	to	ADP
ejpam-6379	496	7	a	a	DET
ejpam-6379	496	8	lower	low	ADJ
ejpam-6379	496	9	epidemic	epidemic	NOUN
ejpam-6379	496	10	duration	duration	NOUN
ejpam-6379	496	11	and	and	CCONJ
ejpam-6379	496	12	severity	severity	NOUN
ejpam-6379	496	13	,	,	PUNCT
ejpam-6379	496	14	which	which	PRON
ejpam-6379	496	15	emphasizes	emphasize	VERB
ejpam-6379	496	16	it	it	PRON
ejpam-6379	496	17	as	as	ADP
ejpam-6379	496	18	a	a	DET
ejpam-6379	496	19	key	key	ADJ
ejpam-6379	496	20	factor	factor	NOUN
ejpam-6379	496	21	that	that	PRON
ejpam-6379	496	22	affects	affect	VERB
ejpam-6379	496	23	both	both	DET
ejpam-6379	496	24	infection	infection	NOUN
ejpam-6379	496	25	and	and	CCONJ
ejpam-6379	496	26	hospitalization	hospitalization	NOUN
ejpam-6379	496	27	outcomes	outcome	NOUN
ejpam-6379	496	28	.	.	PUNCT
ejpam-6379	497	1	these	these	DET
ejpam-6379	497	2	findings	finding	NOUN
ejpam-6379	497	3	confirm	confirm	VERB
ejpam-6379	497	4	the	the	DET
ejpam-6379	497	5	relevance	relevance	NOUN
ejpam-6379	497	6	of	of	ADP
ejpam-6379	497	7	the	the	DET
ejpam-6379	497	8	stochastic	stochastic	ADJ
ejpam-6379	497	9	model	model	NOUN
ejpam-6379	497	10	in	in	ADP
ejpam-6379	497	11	representing	represent	VERB
ejpam-6379	497	12	the	the	DET
ejpam-6379	497	13	time	time	NOUN
ejpam-6379	497	14	and	and	CCONJ
ejpam-6379	497	15	magnitude	magnitude	NOUN
ejpam-6379	497	16	of	of	ADP
ejpam-6379	497	17	epidemic	epidemic	NOUN
ejpam-6379	497	18	fadeout	fadeout	NOUN
ejpam-6379	497	19	at	at	ADP
ejpam-6379	497	20	different	different	ADJ
ejpam-6379	497	21	recovery	recovery	NOUN
ejpam-6379	497	22	settings	setting	NOUN
ejpam-6379	497	23	.	.	PUNCT
ejpam-6379	498	1	r.	r.	PROPN
ejpam-6379	498	2	saadeh	saadeh	PROPN
ejpam-6379	498	3	et	et	PROPN
ejpam-6379	498	4	al	al	PROPN
ejpam-6379	498	5	.	.	PUNCT
ejpam-6379	498	6	/	/	SYM
ejpam-6379	498	7	eur	eur	PROPN
ejpam-6379	498	8	.	.	PUNCT
ejpam-6379	499	1	j.	j.	PROPN
ejpam-6379	499	2	pure	pure	PROPN
ejpam-6379	499	3	appl	appl	PROPN
ejpam-6379	499	4	.	.	PROPN
ejpam-6379	499	5	math	math	PROPN
ejpam-6379	499	6	,	,	PUNCT
ejpam-6379	499	7	18	18	NUM
ejpam-6379	499	8	(	(	PUNCT
ejpam-6379	499	9	3	3	NUM
ejpam-6379	499	10	)	)	PUNCT
ejpam-6379	499	11	(	(	PUNCT
ejpam-6379	499	12	2025	2025	NUM
ejpam-6379	499	13	)	)	PUNCT
ejpam-6379	499	14	,	,	PUNCT
ejpam-6379	499	15	6379	6379	NUM
ejpam-6379	499	16	28	28	NUM
ejpam-6379	499	17	of	of	ADP
ejpam-6379	499	18	34	34	NUM
ejpam-6379	499	19	0	0	NUM
ejpam-6379	499	20	5	5	NUM
ejpam-6379	499	21	10	10	NUM
ejpam-6379	499	22	15	15	NUM
ejpam-6379	499	23	20	20	NUM
ejpam-6379	499	24	25	25	NUM
ejpam-6379	499	25	30	30	NUM
ejpam-6379	499	26	35	35	NUM
ejpam-6379	499	27	40	40	NUM
ejpam-6379	499	28	45	45	NUM
ejpam-6379	499	29	50	50	NUM
ejpam-6379	499	30	weeks	week	NOUN
ejpam-6379	499	31	0	0	NUM
ejpam-6379	499	32	20	20	NUM
ejpam-6379	499	33	40	40	NUM
ejpam-6379	499	34	60	60	NUM
ejpam-6379	499	35	80	80	NUM
ejpam-6379	499	36	100	100	NUM
ejpam-6379	499	37	120	120	NUM
ejpam-6379	499	38	i(t	i(t	NOUN
ejpam-6379	499	39	)	)	PUNCT
ejpam-6379	499	40	0	0	NUM
ejpam-6379	499	41	5	5	NUM
ejpam-6379	499	42	10	10	NUM
ejpam-6379	499	43	15	15	NUM
ejpam-6379	499	44	20	20	NUM
ejpam-6379	499	45	25	25	NUM
ejpam-6379	499	46	30	30	NUM
ejpam-6379	499	47	35	35	NUM
ejpam-6379	499	48	40	40	NUM
ejpam-6379	499	49	45	45	NUM
ejpam-6379	499	50	50	50	NUM
ejpam-6379	499	51	weeks	week	NOUN
ejpam-6379	499	52	0	0	NUM
ejpam-6379	499	53	5	5	NUM
ejpam-6379	499	54	10	10	NUM
ejpam-6379	499	55	15	15	NUM
ejpam-6379	499	56	20	20	NUM
ejpam-6379	499	57	25	25	NUM
ejpam-6379	499	58	30	30	NUM
ejpam-6379	499	59	35	35	NUM
ejpam-6379	499	60	40	40	NUM
ejpam-6379	499	61	i(t	i(t	NOUN
ejpam-6379	499	62	)	)	PUNCT
ejpam-6379	499	63	0	0	NUM
ejpam-6379	499	64	5	5	NUM
ejpam-6379	499	65	10	10	NUM
ejpam-6379	499	66	15	15	NUM
ejpam-6379	499	67	20	20	NUM
ejpam-6379	499	68	25	25	NUM
ejpam-6379	499	69	30	30	NUM
ejpam-6379	499	70	35	35	NUM
ejpam-6379	499	71	40	40	NUM
ejpam-6379	499	72	45	45	NUM
ejpam-6379	499	73	50	50	NUM
ejpam-6379	499	74	weeks	week	NOUN
ejpam-6379	499	75	2	2	NUM
ejpam-6379	499	76	4	4	NUM
ejpam-6379	499	77	6	6	NUM
ejpam-6379	499	78	8	8	NUM
ejpam-6379	499	79	10	10	NUM
ejpam-6379	499	80	12	12	NUM
ejpam-6379	499	81	14	14	NUM
ejpam-6379	499	82	16	16	NUM
ejpam-6379	499	83	i(t	i(t	NOUN
ejpam-6379	499	84	)	)	PUNCT
ejpam-6379	499	85	0	0	NUM
ejpam-6379	499	86	5	5	NUM
ejpam-6379	499	87	10	10	NUM
ejpam-6379	499	88	15	15	NUM
ejpam-6379	499	89	20	20	NUM
ejpam-6379	499	90	25	25	NUM
ejpam-6379	499	91	30	30	NUM
ejpam-6379	499	92	35	35	NUM
ejpam-6379	499	93	40	40	NUM
ejpam-6379	499	94	45	45	NUM
ejpam-6379	499	95	50	50	NUM
ejpam-6379	499	96	weeks	week	NOUN
ejpam-6379	499	97	0	0	NUM
ejpam-6379	499	98	1	1	NUM
ejpam-6379	499	99	2	2	NUM
ejpam-6379	499	100	3	3	NUM
ejpam-6379	499	101	4	4	NUM
ejpam-6379	499	102	i(t	i(t	NOUN
ejpam-6379	499	103	)	)	PUNCT
ejpam-6379	499	104	figure	figure	NOUN
ejpam-6379	499	105	9	9	NUM
ejpam-6379	499	106	:	:	PUNCT
ejpam-6379	499	107	stochastic	stochastic	ADJ
ejpam-6379	499	108	model	model	NOUN
ejpam-6379	499	109	(	(	PUNCT
ejpam-6379	499	110	2	2	NUM
ejpam-6379	499	111	)	)	PUNCT
ejpam-6379	499	112	for	for	ADP
ejpam-6379	499	113	different	different	ADJ
ejpam-6379	499	114	σ	σ	NOUN
ejpam-6379	499	115	values	value	NOUN
ejpam-6379	499	116	.	.	PUNCT
ejpam-6379	500	1	as	as	SCONJ
ejpam-6379	500	2	σ	σ	PROPN
ejpam-6379	500	3	decreases	decrease	VERB
ejpam-6379	500	4	from	from	ADP
ejpam-6379	500	5	0.9	0.9	NUM
ejpam-6379	500	6	to	to	ADP
ejpam-6379	500	7	0.3	0.3	NUM
ejpam-6379	500	8	,	,	PUNCT
ejpam-6379	500	9	infection	infection	NOUN
ejpam-6379	500	10	peaks	peak	NOUN
ejpam-6379	500	11	occur	occur	VERB
ejpam-6379	500	12	later	later	ADV
ejpam-6379	500	13	and	and	CCONJ
ejpam-6379	500	14	at	at	ADP
ejpam-6379	500	15	lower	low	ADJ
ejpam-6379	500	16	levels	level	NOUN
ejpam-6379	500	17	,	,	PUNCT
ejpam-6379	500	18	with	with	ADP
ejpam-6379	500	19	extinction	extinction	NOUN
ejpam-6379	500	20	observed	observe	VERB
ejpam-6379	500	21	at	at	ADP
ejpam-6379	500	22	σ	σ	PROPN
ejpam-6379	500	23	=	=	SYM
ejpam-6379	500	24	0.3	0.3	NUM
ejpam-6379	500	25	.	.	PUNCT
ejpam-6379	501	1	r.	r.	PROPN
ejpam-6379	501	2	saadeh	saadeh	PROPN
ejpam-6379	501	3	et	et	PROPN
ejpam-6379	501	4	al	al	PROPN
ejpam-6379	501	5	.	.	PUNCT
ejpam-6379	501	6	/	/	SYM
ejpam-6379	501	7	eur	eur	PROPN
ejpam-6379	501	8	.	.	PUNCT
ejpam-6379	502	1	j.	j.	PROPN
ejpam-6379	502	2	pure	pure	PROPN
ejpam-6379	502	3	appl	appl	PROPN
ejpam-6379	502	4	.	.	PROPN
ejpam-6379	502	5	math	math	PROPN
ejpam-6379	502	6	,	,	PUNCT
ejpam-6379	502	7	18	18	NUM
ejpam-6379	502	8	(	(	PUNCT
ejpam-6379	502	9	3	3	NUM
ejpam-6379	502	10	)	)	PUNCT
ejpam-6379	502	11	(	(	PUNCT
ejpam-6379	502	12	2025	2025	NUM
ejpam-6379	502	13	)	)	PUNCT
ejpam-6379	502	14	,	,	PUNCT
ejpam-6379	502	15	6379	6379	NUM
ejpam-6379	502	16	29	29	NUM
ejpam-6379	502	17	of	of	ADP
ejpam-6379	502	18	34	34	NUM
ejpam-6379	502	19	0	0	NUM
ejpam-6379	502	20	5	5	NUM
ejpam-6379	502	21	10	10	NUM
ejpam-6379	502	22	15	15	NUM
ejpam-6379	502	23	20	20	NUM
ejpam-6379	502	24	25	25	NUM
ejpam-6379	502	25	30	30	NUM
ejpam-6379	502	26	35	35	NUM
ejpam-6379	502	27	40	40	NUM
ejpam-6379	502	28	45	45	NUM
ejpam-6379	502	29	50	50	NUM
ejpam-6379	502	30	weeks	week	NOUN
ejpam-6379	502	31	0	0	NUM
ejpam-6379	502	32	50	50	NUM
ejpam-6379	502	33	100	100	NUM
ejpam-6379	502	34	150	150	NUM
ejpam-6379	502	35	200	200	NUM
ejpam-6379	502	36	250	250	NUM
ejpam-6379	502	37	300	300	NUM
ejpam-6379	502	38	350	350	NUM
ejpam-6379	502	39	h	h	NOUN
ejpam-6379	502	40	(	(	PUNCT
ejpam-6379	502	41	t	t	PROPN
ejpam-6379	502	42	)	)	PUNCT
ejpam-6379	502	43	0	0	NUM
ejpam-6379	502	44	5	5	NUM
ejpam-6379	502	45	10	10	NUM
ejpam-6379	502	46	15	15	NUM
ejpam-6379	502	47	20	20	NUM
ejpam-6379	502	48	25	25	NUM
ejpam-6379	502	49	30	30	NUM
ejpam-6379	502	50	35	35	NUM
ejpam-6379	502	51	40	40	NUM
ejpam-6379	502	52	45	45	NUM
ejpam-6379	502	53	50	50	NUM
ejpam-6379	502	54	weeks	week	NOUN
ejpam-6379	502	55	0	0	NUM
ejpam-6379	502	56	20	20	NUM
ejpam-6379	502	57	40	40	NUM
ejpam-6379	502	58	60	60	NUM
ejpam-6379	502	59	80	80	NUM
ejpam-6379	502	60	100	100	NUM
ejpam-6379	502	61	120	120	NUM
ejpam-6379	502	62	140	140	NUM
ejpam-6379	502	63	160	160	NUM
ejpam-6379	502	64	h	h	NOUN
ejpam-6379	502	65	(	(	PUNCT
ejpam-6379	502	66	t	t	PROPN
ejpam-6379	502	67	)	)	PUNCT
ejpam-6379	502	68	0	0	NUM
ejpam-6379	502	69	5	5	NUM
ejpam-6379	502	70	10	10	NUM
ejpam-6379	502	71	15	15	NUM
ejpam-6379	502	72	20	20	NUM
ejpam-6379	502	73	25	25	NUM
ejpam-6379	502	74	30	30	NUM
ejpam-6379	502	75	35	35	NUM
ejpam-6379	502	76	40	40	NUM
ejpam-6379	502	77	45	45	NUM
ejpam-6379	502	78	50	50	NUM
ejpam-6379	502	79	weeks	week	NOUN
ejpam-6379	502	80	0	0	NUM
ejpam-6379	502	81	5	5	NUM
ejpam-6379	502	82	10	10	NUM
ejpam-6379	502	83	15	15	NUM
ejpam-6379	502	84	20	20	NUM
ejpam-6379	502	85	25	25	NUM
ejpam-6379	502	86	30	30	NUM
ejpam-6379	502	87	35	35	NUM
ejpam-6379	502	88	40	40	NUM
ejpam-6379	502	89	h	h	NOUN
ejpam-6379	502	90	(	(	PUNCT
ejpam-6379	502	91	t	t	PROPN
ejpam-6379	502	92	)	)	PUNCT
ejpam-6379	502	93	0	0	NUM
ejpam-6379	502	94	5	5	NUM
ejpam-6379	502	95	10	10	NUM
ejpam-6379	502	96	15	15	NUM
ejpam-6379	502	97	20	20	NUM
ejpam-6379	502	98	25	25	NUM
ejpam-6379	502	99	30	30	NUM
ejpam-6379	502	100	35	35	NUM
ejpam-6379	502	101	40	40	NUM
ejpam-6379	502	102	45	45	NUM
ejpam-6379	502	103	50	50	NUM
ejpam-6379	502	104	weeks	week	NOUN
ejpam-6379	502	105	0	0	NUM
ejpam-6379	502	106	1	1	NUM
ejpam-6379	502	107	2	2	NUM
ejpam-6379	502	108	3	3	NUM
ejpam-6379	502	109	4	4	NUM
ejpam-6379	502	110	5	5	NUM
ejpam-6379	502	111	h	h	NOUN
ejpam-6379	502	112	(	(	PUNCT
ejpam-6379	502	113	t	t	PROPN
ejpam-6379	502	114	)	)	PUNCT
ejpam-6379	502	115	figure	figure	NOUN
ejpam-6379	502	116	10	10	NUM
ejpam-6379	502	117	:	:	PUNCT
ejpam-6379	502	118	stochastic	stochastic	ADJ
ejpam-6379	502	119	model	model	NOUN
ejpam-6379	502	120	(	(	PUNCT
ejpam-6379	502	121	2	2	NUM
ejpam-6379	502	122	)	)	PUNCT
ejpam-6379	502	123	with	with	ADP
ejpam-6379	502	124	varying	vary	VERB
ejpam-6379	502	125	σ	σ	PROPN
ejpam-6379	502	126	.	.	PROPN
ejpam-6379	503	1	as	as	SCONJ
ejpam-6379	503	2	σ	σ	PROPN
ejpam-6379	503	3	decreases	decrease	VERB
ejpam-6379	503	4	from	from	ADP
ejpam-6379	503	5	0.9	0.9	NUM
ejpam-6379	503	6	to	to	ADP
ejpam-6379	503	7	0.3	0.3	NUM
ejpam-6379	503	8	,	,	PUNCT
ejpam-6379	503	9	hospital	hospital	NOUN
ejpam-6379	503	10	cases	case	NOUN
ejpam-6379	503	11	peak	peak	VERB
ejpam-6379	503	12	later	later	ADV
ejpam-6379	503	13	and	and	CCONJ
ejpam-6379	503	14	decline	decline	VERB
ejpam-6379	503	15	in	in	ADP
ejpam-6379	503	16	magnitude	magnitude	NOUN
ejpam-6379	503	17	,	,	PUNCT
ejpam-6379	503	18	with	with	ADP
ejpam-6379	503	19	extinction	extinction	NOUN
ejpam-6379	503	20	at	at	ADP
ejpam-6379	503	21	σ	σ	PROPN
ejpam-6379	503	22	=	=	PUNCT
ejpam-6379	503	23	0.3	0.3	NUM
ejpam-6379	503	24	.	.	PUNCT
ejpam-6379	504	1	5	5	NUM
ejpam-6379	504	2	.	.	X
ejpam-6379	504	3	conclusion	conclusion	NOUN
ejpam-6379	504	4	this	this	DET
ejpam-6379	504	5	study	study	NOUN
ejpam-6379	504	6	uses	use	VERB
ejpam-6379	504	7	a	a	DET
ejpam-6379	504	8	stochastic	stochastic	ADJ
ejpam-6379	504	9	model	model	NOUN
ejpam-6379	504	10	to	to	PART
ejpam-6379	504	11	assess	assess	VERB
ejpam-6379	504	12	saudi	saudi	PROPN
ejpam-6379	504	13	arabia	arabia	PROPN
ejpam-6379	504	14	’s	’s	PART
ejpam-6379	504	15	weekly	weekly	ADJ
ejpam-6379	504	16	seasonal	seasonal	ADJ
ejpam-6379	504	17	influenza	influenza	NOUN
ejpam-6379	504	18	cases	case	NOUN
ejpam-6379	504	19	in	in	ADP
ejpam-6379	504	20	2022	2022	NUM
ejpam-6379	504	21	.	.	PUNCT
ejpam-6379	505	1	the	the	DET
ejpam-6379	505	2	model	model	NOUN
ejpam-6379	505	3	closely	closely	ADV
ejpam-6379	505	4	aligns	align	VERB
ejpam-6379	505	5	with	with	ADP
ejpam-6379	505	6	the	the	DET
ejpam-6379	505	7	general	general	ADJ
ejpam-6379	505	8	trend	trend	NOUN
ejpam-6379	505	9	of	of	ADP
ejpam-6379	505	10	observed	observed	ADJ
ejpam-6379	505	11	influenza	influenza	NOUN
ejpam-6379	505	12	cases	case	NOUN
ejpam-6379	505	13	,	,	PUNCT
ejpam-6379	505	14	showing	show	VERB
ejpam-6379	505	15	a	a	DET
ejpam-6379	505	16	peak	peak	NOUN
ejpam-6379	505	17	in	in	ADP
ejpam-6379	505	18	infections	infection	NOUN
ejpam-6379	505	19	around	around	ADP
ejpam-6379	505	20	week	week	NOUN
ejpam-6379	505	21	30	30	NUM
ejpam-6379	505	22	,	,	PUNCT
ejpam-6379	505	23	which	which	PRON
ejpam-6379	505	24	suggests	suggest	VERB
ejpam-6379	505	25	a	a	DET
ejpam-6379	505	26	seasonal	seasonal	ADJ
ejpam-6379	505	27	epidemic	epidemic	NOUN
ejpam-6379	505	28	.	.	PUNCT
ejpam-6379	506	1	when	when	SCONJ
ejpam-6379	506	2	comparing	compare	VERB
ejpam-6379	506	3	deterministic	deterministic	ADJ
ejpam-6379	506	4	and	and	CCONJ
ejpam-6379	506	5	stochastic	stochastic	ADJ
ejpam-6379	506	6	models	model	NOUN
ejpam-6379	506	7	,	,	PUNCT
ejpam-6379	506	8	it	it	PRON
ejpam-6379	506	9	becomes	become	VERB
ejpam-6379	506	10	evident	evident	ADJ
ejpam-6379	506	11	that	that	SCONJ
ejpam-6379	506	12	the	the	DET
ejpam-6379	506	13	stochastic	stochastic	ADJ
ejpam-6379	506	14	model	model	NOUN
ejpam-6379	506	15	excels	excel	VERB
ejpam-6379	506	16	at	at	ADP
ejpam-6379	506	17	capturing	capture	VERB
ejpam-6379	506	18	a	a	DET
ejpam-6379	506	19	broader	broad	ADJ
ejpam-6379	506	20	spectrum	spectrum	NOUN
ejpam-6379	506	21	of	of	ADP
ejpam-6379	506	22	potential	potential	ADJ
ejpam-6379	506	23	outcomes	outcome	NOUN
ejpam-6379	506	24	due	due	ADP
ejpam-6379	506	25	to	to	ADP
ejpam-6379	506	26	its	its	PRON
ejpam-6379	506	27	natural	natural	ADJ
ejpam-6379	506	28	variability	variability	NOUN
ejpam-6379	506	29	.	.	PUNCT
ejpam-6379	507	1	this	this	DET
ejpam-6379	507	2	study	study	NOUN
ejpam-6379	507	3	delves	delve	VERB
ejpam-6379	507	4	into	into	ADP
ejpam-6379	507	5	the	the	DET
ejpam-6379	507	6	substantial	substantial	ADJ
ejpam-6379	507	7	influence	influence	NOUN
ejpam-6379	507	8	of	of	ADP
ejpam-6379	507	9	white	white	ADJ
ejpam-6379	507	10	noise	noise	NOUN
ejpam-6379	507	11	intensity	intensity	NOUN
ejpam-6379	507	12	on	on	ADP
ejpam-6379	507	13	the	the	DET
ejpam-6379	507	14	variability	variability	NOUN
ejpam-6379	507	15	of	of	ADP
ejpam-6379	507	16	infection	infection	NOUN
ejpam-6379	507	17	predictions	prediction	NOUN
ejpam-6379	507	18	within	within	ADP
ejpam-6379	507	19	the	the	DET
ejpam-6379	507	20	stochastic	stochastic	ADJ
ejpam-6379	507	21	model	model	NOUN
ejpam-6379	507	22	,	,	PUNCT
ejpam-6379	507	23	highlighting	highlight	VERB
ejpam-6379	507	24	the	the	DET
ejpam-6379	507	25	crucial	crucial	ADJ
ejpam-6379	507	26	role	role	NOUN
ejpam-6379	507	27	of	of	ADP
ejpam-6379	507	28	stochastic	stochastic	ADJ
ejpam-6379	507	29	factors	factor	NOUN
ejpam-6379	507	30	like	like	ADP
ejpam-6379	507	31	environmental	environmental	ADJ
ejpam-6379	507	32	or	or	CCONJ
ejpam-6379	507	33	social	social	ADJ
ejpam-6379	507	34	influences	influence	NOUN
ejpam-6379	507	35	in	in	ADP
ejpam-6379	507	36	modeling	model	VERB
ejpam-6379	507	37	endeavors	endeavor	NOUN
ejpam-6379	507	38	.	.	PUNCT
ejpam-6379	508	1	moreover	moreover	ADV
ejpam-6379	508	2	,	,	PUNCT
ejpam-6379	508	3	the	the	DET
ejpam-6379	508	4	parameter	parameter	NOUN
ejpam-6379	508	5	β	β	PROPN
ejpam-6379	508	6	plays	play	VERB
ejpam-6379	508	7	a	a	DET
ejpam-6379	508	8	crucial	crucial	ADJ
ejpam-6379	508	9	role	role	NOUN
ejpam-6379	508	10	in	in	ADP
ejpam-6379	508	11	impacting	impact	VERB
ejpam-6379	508	12	infection	infection	NOUN
ejpam-6379	508	13	and	and	CCONJ
ejpam-6379	508	14	hospitalization	hospitalization	NOUN
ejpam-6379	508	15	rates	rate	NOUN
ejpam-6379	508	16	,	,	PUNCT
ejpam-6379	508	17	as	as	SCONJ
ejpam-6379	508	18	higher	high	ADJ
ejpam-6379	508	19	β	β	NOUN
ejpam-6379	508	20	values	value	NOUN
ejpam-6379	508	21	are	be	AUX
ejpam-6379	508	22	linked	link	VERB
ejpam-6379	508	23	to	to	ADP
ejpam-6379	508	24	more	more	ADV
ejpam-6379	508	25	severe	severe	ADJ
ejpam-6379	508	26	epidemic	epidemic	NOUN
ejpam-6379	508	27	outcomes	outcome	NOUN
ejpam-6379	508	28	.	.	PUNCT
ejpam-6379	509	1	finally	finally	ADV
ejpam-6379	509	2	,	,	PUNCT
ejpam-6379	509	3	the	the	DET
ejpam-6379	509	4	parameter	parameter	NOUN
ejpam-6379	509	5	α	α	PROPN
ejpam-6379	509	6	plays	play	VERB
ejpam-6379	509	7	a	a	DET
ejpam-6379	509	8	vital	vital	ADJ
ejpam-6379	509	9	role	role	NOUN
ejpam-6379	509	10	in	in	ADP
ejpam-6379	509	11	forecasting	forecast	VERB
ejpam-6379	509	12	the	the	DET
ejpam-6379	509	13	timing	timing	NOUN
ejpam-6379	509	14	and	and	CCONJ
ejpam-6379	509	15	intensity	intensity	NOUN
ejpam-6379	509	16	of	of	ADP
ejpam-6379	509	17	infection	infection	NOUN
ejpam-6379	509	18	and	and	CCONJ
ejpam-6379	509	19	hospitalization	hospitalization	NOUN
ejpam-6379	509	20	peaks	peak	NOUN
ejpam-6379	509	21	.	.	PUNCT
ejpam-6379	510	1	higher	high	ADJ
ejpam-6379	510	2	α	α	NOUN
ejpam-6379	510	3	values	value	NOUN
ejpam-6379	510	4	result	result	VERB
ejpam-6379	510	5	in	in	ADP
ejpam-6379	510	6	an	an	DET
ejpam-6379	510	7	earlier	early	ADJ
ejpam-6379	510	8	peak	peak	NOUN
ejpam-6379	510	9	and	and	CCONJ
ejpam-6379	510	10	a	a	DET
ejpam-6379	510	11	swift	swift	ADJ
ejpam-6379	510	12	decrease	decrease	NOUN
ejpam-6379	510	13	in	in	ADP
ejpam-6379	510	14	cases	case	NOUN
ejpam-6379	510	15	,	,	PUNCT
ejpam-6379	510	16	which	which	PRON
ejpam-6379	510	17	may	may	AUX
ejpam-6379	510	18	be	be	AUX
ejpam-6379	510	19	associated	associate	VERB
ejpam-6379	510	20	with	with	ADP
ejpam-6379	510	21	recovery	recovery	NOUN
ejpam-6379	510	22	rates	rate	NOUN
ejpam-6379	510	23	or	or	CCONJ
ejpam-6379	510	24	other	other	ADJ
ejpam-6379	510	25	factors	factor	NOUN
ejpam-6379	510	26	that	that	PRON
ejpam-6379	510	27	help	help	VERB
ejpam-6379	510	28	resolve	resolve	VERB
ejpam-6379	510	29	the	the	DET
ejpam-6379	510	30	disease	disease	NOUN
ejpam-6379	510	31	.	.	PUNCT
ejpam-6379	511	1	these	these	DET
ejpam-6379	511	2	findings	finding	NOUN
ejpam-6379	511	3	demonstrate	demonstrate	VERB
ejpam-6379	511	4	the	the	DET
ejpam-6379	511	5	stochastic	stochastic	ADJ
ejpam-6379	511	6	model	model	NOUN
ejpam-6379	511	7	’s	’s	PART
ejpam-6379	511	8	sensitivity	sensitivity	NOUN
ejpam-6379	511	9	to	to	ADP
ejpam-6379	511	10	critical	critical	ADJ
ejpam-6379	511	11	factors	factor	NOUN
ejpam-6379	511	12	needed	need	VERB
ejpam-6379	511	13	to	to	PART
ejpam-6379	511	14	predict	predict	VERB
ejpam-6379	511	15	illness	illness	NOUN
ejpam-6379	511	16	progression	progression	NOUN
ejpam-6379	511	17	and	and	CCONJ
ejpam-6379	511	18	help	help	VERB
ejpam-6379	511	19	build	build	VERB
ejpam-6379	511	20	effective	effective	ADJ
ejpam-6379	511	21	public	public	ADJ
ejpam-6379	511	22	health	health	NOUN
ejpam-6379	511	23	treatments	treatment	NOUN
ejpam-6379	511	24	and	and	CCONJ
ejpam-6379	511	25	epidemic	epidemic	NOUN
ejpam-6379	511	26	control	control	NOUN
ejpam-6379	511	27	measures	measure	NOUN
ejpam-6379	511	28	.	.	PUNCT
ejpam-6379	512	1	in	in	ADP
ejpam-6379	512	2	the	the	DET
ejpam-6379	512	3	future	future	NOUN
ejpam-6379	512	4	,	,	PUNCT
ejpam-6379	512	5	we	we	PRON
ejpam-6379	512	6	intend	intend	VERB
ejpam-6379	512	7	to	to	PART
ejpam-6379	512	8	solve	solve	VERB
ejpam-6379	512	9	some	some	DET
ejpam-6379	512	10	new	new	ADJ
ejpam-6379	512	11	models	model	NOUN
ejpam-6379	512	12	,	,	PUNCT
ejpam-6379	512	13	such	such	ADJ
ejpam-6379	512	14	as	as	ADP
ejpam-6379	512	15	in	in	ADP
ejpam-6379	512	16	[	[	NOUN
ejpam-6379	512	17	46–48	46–48	NUM
ejpam-6379	512	18	]	]	PUNCT
ejpam-6379	512	19	and	and	CCONJ
ejpam-6379	512	20	make	make	VERB
ejpam-6379	512	21	comparisons	comparison	NOUN
ejpam-6379	512	22	with	with	ADP
ejpam-6379	512	23	other	other	ADJ
ejpam-6379	512	24	methods	method	NOUN
ejpam-6379	512	25	[	[	X
ejpam-6379	512	26	49–53	49–53	NUM
ejpam-6379	512	27	]	]	PUNCT
ejpam-6379	512	28	.	.	PUNCT
ejpam-6379	513	1	r.	r.	PROPN
ejpam-6379	513	2	saadeh	saadeh	PROPN
ejpam-6379	513	3	et	et	PROPN
ejpam-6379	513	4	al	al	PROPN
ejpam-6379	513	5	.	.	PUNCT
ejpam-6379	513	6	/	/	SYM
ejpam-6379	513	7	eur	eur	PROPN
ejpam-6379	513	8	.	.	PUNCT
ejpam-6379	514	1	j.	j.	PROPN
ejpam-6379	514	2	pure	pure	PROPN
ejpam-6379	514	3	appl	appl	PROPN
ejpam-6379	514	4	.	.	PROPN
ejpam-6379	514	5	math	math	PROPN
ejpam-6379	514	6	,	,	PUNCT
ejpam-6379	514	7	18	18	NUM
ejpam-6379	514	8	(	(	PUNCT
ejpam-6379	514	9	3	3	NUM
ejpam-6379	514	10	)	)	PUNCT
ejpam-6379	514	11	(	(	PUNCT
ejpam-6379	514	12	2025	2025	NUM
ejpam-6379	514	13	)	)	PUNCT
ejpam-6379	514	14	,	,	PUNCT
ejpam-6379	514	15	6379	6379	NUM
ejpam-6379	514	16	30	30	NUM
ejpam-6379	514	17	of	of	ADP
ejpam-6379	514	18	34	34	NUM
ejpam-6379	514	19	acknowledgements	acknowledgement	NOUN
ejpam-6379	514	20	the	the	DET
ejpam-6379	514	21	authors	author	NOUN
ejpam-6379	514	22	thank	thank	VERB
ejpam-6379	514	23	the	the	DET
ejpam-6379	514	24	deanship	deanship	NOUN
ejpam-6379	514	25	of	of	ADP
ejpam-6379	514	26	zarqa	zarqa	PROPN
ejpam-6379	514	27	university	university	PROPN
ejpam-6379	514	28	.	.	PUNCT
ejpam-6379	515	1	this	this	DET
ejpam-6379	515	2	research	research	NOUN
ejpam-6379	515	3	is	be	AUX
ejpam-6379	515	4	funded	fund	VERB
ejpam-6379	515	5	fully	fully	ADV
ejpam-6379	515	6	by	by	ADP
ejpam-6379	515	7	zarqa	zarqa	PROPN
ejpam-6379	515	8	university	university	PROPN
ejpam-6379	515	9	.	.	PUNCT
ejpam-6379	516	1	conflicts	conflict	NOUN
ejpam-6379	516	2	of	of	ADP
ejpam-6379	516	3	interest	interest	NOUN
ejpam-6379	516	4	:	:	PUNCT
ejpam-6379	516	5	the	the	DET
ejpam-6379	516	6	authors	author	NOUN
ejpam-6379	516	7	declare	declare	VERB
ejpam-6379	516	8	that	that	SCONJ
ejpam-6379	516	9	they	they	PRON
ejpam-6379	516	10	have	have	VERB
ejpam-6379	516	11	no	no	DET
ejpam-6379	516	12	conflict	conflict	NOUN
ejpam-6379	516	13	of	of	ADP
ejpam-6379	516	14	interest	interest	NOUN
ejpam-6379	516	15	.	.	PUNCT
ejpam-6379	517	1	references	reference	NOUN
ejpam-6379	517	2	[	[	X
ejpam-6379	517	3	1	1	NUM
ejpam-6379	517	4	]	]	PUNCT
ejpam-6379	517	5	world	world	NOUN
ejpam-6379	517	6	health	health	NOUN
ejpam-6379	517	7	organization	organization	NOUN
ejpam-6379	517	8	.	.	PUNCT
ejpam-6379	518	1	influenza	influenza	NOUN
ejpam-6379	518	2	(	(	PUNCT
ejpam-6379	518	3	seasonal	seasonal	ADJ
ejpam-6379	518	4	):	):	PUNCT
ejpam-6379	518	5	overview	overview	NOUN
ejpam-6379	518	6	.	.	PUNCT
ejpam-6379	519	1	influenza	influenza	NOUN
ejpam-6379	519	2	(	(	PUNCT
ejpam-6379	519	3	seasonal	seasonal	ADJ
ejpam-6379	519	4	)	)	PUNCT
ejpam-6379	519	5	,	,	PUNCT
ejpam-6379	519	6	2023	2023	NUM
ejpam-6379	519	7	.	.	PUNCT
ejpam-6379	520	1	[	[	X
ejpam-6379	520	2	2	2	NUM
ejpam-6379	520	3	]	]	X
ejpam-6379	520	4	william	william	PROPN
ejpam-6379	520	5	schaffner	schaffner	PROPN
ejpam-6379	520	6	,	,	PUNCT
ejpam-6379	520	7	janet	janet	PROPN
ejpam-6379	520	8	mcelhaney	mcelhaney	PROPN
ejpam-6379	520	9	,	,	PUNCT
ejpam-6379	520	10	albert	albert	PROPN
ejpam-6379	520	11	a	a	DET
ejpam-6379	520	12	rizzo	rizzo	PROPN
ejpam-6379	520	13	,	,	PUNCT
ejpam-6379	520	14	margot	margot	PROPN
ejpam-6379	520	15	savoy	savoy	PROPN
ejpam-6379	520	16	,	,	PUNCT
ejpam-6379	520	17	allen	allen	PROPN
ejpam-6379	520	18	j	j	PROPN
ejpam-6379	520	19	taylor	taylor	PROPN
ejpam-6379	520	20	,	,	PUNCT
ejpam-6379	520	21	and	and	CCONJ
ejpam-6379	520	22	melissa	melissa	PROPN
ejpam-6379	520	23	young	young	PROPN
ejpam-6379	520	24	.	.	PUNCT
ejpam-6379	521	1	the	the	DET
ejpam-6379	521	2	dangers	danger	NOUN
ejpam-6379	521	3	of	of	ADP
ejpam-6379	521	4	influenza	influenza	NOUN
ejpam-6379	521	5	and	and	CCONJ
ejpam-6379	521	6	benefits	benefit	NOUN
ejpam-6379	521	7	of	of	ADP
ejpam-6379	521	8	vaccination	vaccination	NOUN
ejpam-6379	521	9	in	in	ADP
ejpam-6379	521	10	adults	adult	NOUN
ejpam-6379	521	11	with	with	ADP
ejpam-6379	521	12	chronic	chronic	ADJ
ejpam-6379	521	13	health	health	NOUN
ejpam-6379	521	14	conditions	condition	NOUN
ejpam-6379	521	15	.	.	PUNCT
ejpam-6379	522	1	infectious	infectious	ADJ
ejpam-6379	522	2	diseases	disease	NOUN
ejpam-6379	522	3	in	in	ADP
ejpam-6379	522	4	clinical	clinical	ADJ
ejpam-6379	522	5	practice	practice	NOUN
ejpam-6379	522	6	,	,	PUNCT
ejpam-6379	522	7	26(6):313	26(6):313	NUM
ejpam-6379	522	8	–	–	PUNCT
ejpam-6379	522	9	322	322	NUM
ejpam-6379	522	10	,	,	PUNCT
ejpam-6379	522	11	2018	2018	NUM
ejpam-6379	522	12	.	.	PUNCT
ejpam-6379	523	1	[	[	X
ejpam-6379	523	2	3	3	X
ejpam-6379	523	3	]	]	X
ejpam-6379	523	4	aimee	aimee	PROPN
ejpam-6379	523	5	m	m	VERB
ejpam-6379	523	6	near	near	ADJ
ejpam-6379	523	7	,	,	PUNCT
ejpam-6379	523	8	jenny	jenny	PROPN
ejpam-6379	523	9	tse	tse	PROPN
ejpam-6379	523	10	,	,	PUNCT
ejpam-6379	523	11	yinong	yinong	PROPN
ejpam-6379	523	12	young	young	PROPN
ejpam-6379	523	13	-	-	PUNCT
ejpam-6379	523	14	xu	xu	PROPN
ejpam-6379	523	15	,	,	PUNCT
ejpam-6379	523	16	david	david	PROPN
ejpam-6379	523	17	k	k	PROPN
ejpam-6379	523	18	hong	hong	PROPN
ejpam-6379	523	19	,	,	PUNCT
ejpam-6379	523	20	and	and	CCONJ
ejpam-6379	523	21	carolina	carolina	PROPN
ejpam-6379	523	22	m	m	PROPN
ejpam-6379	523	23	reyes	reyes	PROPN
ejpam-6379	523	24	.	.	PUNCT
ejpam-6379	524	1	burden	burden	NOUN
ejpam-6379	524	2	of	of	ADP
ejpam-6379	524	3	influenza	influenza	ADJ
ejpam-6379	524	4	hospitalization	hospitalization	NOUN
ejpam-6379	524	5	among	among	ADP
ejpam-6379	524	6	high	high	ADJ
ejpam-6379	524	7	-	-	PUNCT
ejpam-6379	524	8	risk	risk	NOUN
ejpam-6379	524	9	groups	group	NOUN
ejpam-6379	524	10	in	in	ADP
ejpam-6379	524	11	the	the	DET
ejpam-6379	524	12	united	united	PROPN
ejpam-6379	524	13	states	states	PROPN
ejpam-6379	524	14	.	.	PUNCT
ejpam-6379	525	1	bmc	bmc	PROPN
ejpam-6379	525	2	health	health	PROPN
ejpam-6379	525	3	services	service	NOUN
ejpam-6379	525	4	research	research	NOUN
ejpam-6379	525	5	,	,	PUNCT
ejpam-6379	525	6	22(1):1209	22(1):1209	NUM
ejpam-6379	525	7	,	,	PUNCT
ejpam-6379	525	8	2022	2022	NUM
ejpam-6379	525	9	.	.	PUNCT
ejpam-6379	526	1	[	[	X
ejpam-6379	526	2	4	4	X
ejpam-6379	526	3	]	]	PUNCT
ejpam-6379	526	4	world	world	NOUN
ejpam-6379	526	5	health	health	NOUN
ejpam-6379	526	6	organization	organization	NOUN
ejpam-6379	526	7	.	.	PUNCT
ejpam-6379	527	1	global	global	ADJ
ejpam-6379	527	2	influenza	influenza	NOUN
ejpam-6379	527	3	programme	programme	NOUN
ejpam-6379	527	4	,	,	PUNCT
ejpam-6379	527	5	2022	2022	NUM
ejpam-6379	527	6	.	.	PUNCT
ejpam-6379	528	1	[	[	X
ejpam-6379	528	2	5	5	NUM
ejpam-6379	528	3	]	]	PUNCT
ejpam-6379	528	4	world	world	NOUN
ejpam-6379	528	5	health	health	NOUN
ejpam-6379	528	6	rankings	ranking	NOUN
ejpam-6379	528	7	.	.	PUNCT
ejpam-6379	529	1	global	global	ADJ
ejpam-6379	529	2	influenza	influenza	NOUN
ejpam-6379	529	3	programme	programme	PROPN
ejpam-6379	529	4	,	,	PUNCT
ejpam-6379	529	5	2020	2020	NUM
ejpam-6379	529	6	.	.	PUNCT
ejpam-6379	530	1	[	[	X
ejpam-6379	530	2	6	6	NUM
ejpam-6379	530	3	]	]	X
ejpam-6379	530	4	hamid	hamid	PROPN
ejpam-6379	530	5	safarpour	safarpour	PROPN
ejpam-6379	530	6	,	,	PUNCT
ejpam-6379	530	7	meysam	meysam	PROPN
ejpam-6379	530	8	safi	safi	PROPN
ejpam-6379	530	9	-	-	PUNCT
ejpam-6379	530	10	keykaleh	keykaleh	PROPN
ejpam-6379	530	11	,	,	PUNCT
ejpam-6379	530	12	iman	iman	NOUN
ejpam-6379	530	13	farahi	farahi	NOUN
ejpam-6379	530	14	-	-	PUNCT
ejpam-6379	530	15	ashtiani	ashtiani	ADJ
ejpam-6379	530	16	,	,	PUNCT
ejpam-6379	530	17	jafar	jafar	PROPN
ejpam-6379	530	18	bazyar	bazyar	PROPN
ejpam-6379	530	19	,	,	PUNCT
ejpam-6379	530	20	salman	salman	PROPN
ejpam-6379	530	21	daliri	daliri	PROPN
ejpam-6379	530	22	,	,	PUNCT
ejpam-6379	530	23	and	and	CCONJ
ejpam-6379	530	24	ali	ali	PROPN
ejpam-6379	530	25	sahebi	sahebi	PROPN
ejpam-6379	530	26	.	.	PUNCT
ejpam-6379	531	1	prevalence	prevalence	NOUN
ejpam-6379	531	2	of	of	ADP
ejpam-6379	531	3	influenza	influenza	NOUN
ejpam-6379	531	4	among	among	ADP
ejpam-6379	531	5	hajj	hajj	PROPN
ejpam-6379	531	6	pilgrims	pilgrims	PROPN
ejpam-6379	531	7	:	:	PUNCT
ejpam-6379	531	8	a	a	DET
ejpam-6379	531	9	systematic	systematic	ADJ
ejpam-6379	531	10	review	review	NOUN
ejpam-6379	531	11	and	and	CCONJ
ejpam-6379	531	12	meta	meta	ADJ
ejpam-6379	531	13	-	-	PUNCT
ejpam-6379	531	14	analysis	analysis	NOUN
ejpam-6379	531	15	.	.	PUNCT
ejpam-6379	532	1	disaster	disaster	NOUN
ejpam-6379	532	2	medicine	medicine	NOUN
ejpam-6379	532	3	and	and	CCONJ
ejpam-6379	532	4	public	public	ADJ
ejpam-6379	532	5	health	health	NOUN
ejpam-6379	532	6	preparedness	preparedness	NOUN
ejpam-6379	532	7	,	,	PUNCT
ejpam-6379	532	8	16(3):1221–1228	16(3):1221–1228	NUM
ejpam-6379	532	9	,	,	PUNCT
ejpam-6379	532	10	2022	2022	NUM
ejpam-6379	532	11	.	.	PUNCT
ejpam-6379	533	1	[	[	X
ejpam-6379	533	2	7	7	X
ejpam-6379	533	3	]	]	X
ejpam-6379	533	4	anthony	anthony	PROPN
ejpam-6379	533	5	e	e	PROPN
ejpam-6379	533	6	fiore	fiore	PROPN
ejpam-6379	533	7	,	,	PUNCT
ejpam-6379	533	8	carolyn	carolyn	PROPN
ejpam-6379	533	9	b	b	PROPN
ejpam-6379	533	10	bridges	bridge	NOUN
ejpam-6379	533	11	,	,	PUNCT
ejpam-6379	533	12	jacqueline	jacqueline	PROPN
ejpam-6379	533	13	m	m	PROPN
ejpam-6379	533	14	katz	katz	PROPN
ejpam-6379	533	15	,	,	PUNCT
ejpam-6379	533	16	and	and	CCONJ
ejpam-6379	533	17	nancy	nancy	PROPN
ejpam-6379	533	18	j	j	PROPN
ejpam-6379	533	19	cox	cox	PROPN
ejpam-6379	533	20	.	.	PUNCT
ejpam-6379	534	1	inactivated	inactivated	ADJ
ejpam-6379	534	2	influenza	influenza	NOUN
ejpam-6379	534	3	vaccines	vaccine	NOUN
ejpam-6379	534	4	.	.	PUNCT
ejpam-6379	535	1	vaccines	vaccine	NOUN
ejpam-6379	535	2	.	.	PUNCT
ejpam-6379	536	1	6th	6th	ADJ
ejpam-6379	536	2	ed	ed	NOUN
ejpam-6379	536	3	.	.	PUNCT
ejpam-6379	536	4	philadelphia	philadelphia	PROPN
ejpam-6379	536	5	,	,	PUNCT
ejpam-6379	536	6	pa	pa	PROPN
ejpam-6379	536	7	:	:	PUNCT
ejpam-6379	536	8	elsevier	elsevier	PROPN
ejpam-6379	536	9	inc	inc	PROPN
ejpam-6379	536	10	,	,	PUNCT
ejpam-6379	536	11	pages	page	NOUN
ejpam-6379	536	12	257–92	257–92	NUM
ejpam-6379	536	13	,	,	PUNCT
ejpam-6379	536	14	2012	2012	NUM
ejpam-6379	536	15	.	.	PUNCT
ejpam-6379	537	1	[	[	X
ejpam-6379	537	2	8	8	NUM
ejpam-6379	537	3	]	]	X
ejpam-6379	537	4	plotkin	plotkin	PROPN
ejpam-6379	537	5	sl	sl	PROPN
ejpam-6379	537	6	.	.	PUNCT
ejpam-6379	538	1	a	a	DET
ejpam-6379	538	2	short	short	ADJ
ejpam-6379	538	3	history	history	NOUN
ejpam-6379	538	4	of	of	ADP
ejpam-6379	538	5	vaccination	vaccination	NOUN
ejpam-6379	538	6	.	.	PUNCT
ejpam-6379	539	1	vaccines	vaccine	NOUN
ejpam-6379	539	2	:	:	PUNCT
ejpam-6379	539	3	expert	expert	NOUN
ejpam-6379	539	4	consult	consult	NOUN
ejpam-6379	539	5	,	,	PUNCT
ejpam-6379	539	6	pages	page	NOUN
ejpam-6379	539	7	5–16	5–16	PROPN
ejpam-6379	539	8	,	,	PUNCT
ejpam-6379	539	9	2008	2008	NUM
ejpam-6379	539	10	.	.	PUNCT
ejpam-6379	540	1	[	[	X
ejpam-6379	540	2	9	9	NUM
ejpam-6379	540	3	]	]	PUNCT
ejpam-6379	540	4	world	world	NOUN
ejpam-6379	540	5	health	health	NOUN
ejpam-6379	540	6	organization	organization	PROPN
ejpam-6379	540	7	.	.	PUNCT
ejpam-6379	541	1	who	who	PRON
ejpam-6379	541	2	global	global	ADJ
ejpam-6379	541	3	vaccine	vaccine	NOUN
ejpam-6379	541	4	action	action	NOUN
ejpam-6379	541	5	plan	plan	NOUN
ejpam-6379	541	6	2011–2020	2011–2020	NUM
ejpam-6379	541	7	.	.	PROPN
ejpam-6379	541	8	2017	2017	NUM
ejpam-6379	541	9	,	,	PUNCT
ejpam-6379	541	10	2018	2018	NUM
ejpam-6379	541	11	.	.	PUNCT
ejpam-6379	542	1	[	[	X
ejpam-6379	542	2	10	10	NUM
ejpam-6379	542	3	]	]	PUNCT
ejpam-6379	542	4	organisation	organisation	NOUN
ejpam-6379	542	5	mondiale	mondiale	X
ejpam-6379	542	6	de	de	X
ejpam-6379	542	7	la	la	PROPN
ejpam-6379	542	8	santé	santé	NOUN
ejpam-6379	542	9	,	,	PUNCT
ejpam-6379	542	10	world	world	NOUN
ejpam-6379	542	11	health	health	NOUN
ejpam-6379	542	12	organization	organization	NOUN
ejpam-6379	542	13	,	,	PUNCT
ejpam-6379	542	14	et	et	PROPN
ejpam-6379	542	15	al	al	PROPN
ejpam-6379	542	16	.	.	PUNCT
ejpam-6379	542	17	vaccines	vaccine	NOUN
ejpam-6379	542	18	against	against	ADP
ejpam-6379	542	19	influenza	influenza	NOUN
ejpam-6379	542	20	:	:	PUNCT
ejpam-6379	542	21	who	who	PRON
ejpam-6379	542	22	position	position	VERB
ejpam-6379	542	23	paper	paper	NOUN
ejpam-6379	542	24	–	–	PUNCT
ejpam-6379	542	25	may	may	PROPN
ejpam-6379	542	26	2022	2022	NUM
ejpam-6379	542	27	–	–	PUNCT
ejpam-6379	542	28	vaccins	vaccin	NOUN
ejpam-6379	542	29	antigrippaux	antigrippaux	ADV
ejpam-6379	542	30	:	:	PUNCT
ejpam-6379	542	31	note	note	VERB
ejpam-6379	542	32	de	de	X
ejpam-6379	542	33	synthèse	synthèse	PROPN
ejpam-6379	542	34	de	de	X
ejpam-6379	542	35	l’oms	l’om	NOUN
ejpam-6379	542	36	–	–	PUNCT
ejpam-6379	542	37	mai	mai	NOUN
ejpam-6379	542	38	2022	2022	NUM
ejpam-6379	542	39	.	.	PUNCT
ejpam-6379	543	1	weekly	weekly	ADJ
ejpam-6379	543	2	epidemiological	epidemiological	ADJ
ejpam-6379	543	3	record=	record=	NUM
ejpam-6379	543	4	relevé	relevé	ADV
ejpam-6379	543	5	épidémiologique	épidémiologique	NOUN
ejpam-6379	543	6	hebdomadaire	hebdomadaire	NOUN
ejpam-6379	543	7	,	,	PUNCT
ejpam-6379	543	8	97(19):185–208	97(19):185–208	NUM
ejpam-6379	543	9	,	,	PUNCT
ejpam-6379	543	10	2022	2022	NUM
ejpam-6379	543	11	.	.	PUNCT
ejpam-6379	544	1	[	[	X
ejpam-6379	544	2	11	11	NUM
ejpam-6379	544	3	]	]	SYM
ejpam-6379	544	4	huong	huong	PROPN
ejpam-6379	544	5	q	q	PROPN
ejpam-6379	544	6	mclean	mclean	PROPN
ejpam-6379	544	7	,	,	PUNCT
ejpam-6379	544	8	mark	mark	PROPN
ejpam-6379	544	9	g	g	PROPN
ejpam-6379	544	10	thompson	thompson	PROPN
ejpam-6379	544	11	,	,	PUNCT
ejpam-6379	544	12	maria	maria	PROPN
ejpam-6379	544	13	e	e	PROPN
ejpam-6379	544	14	sundaram	sundaram	PROPN
ejpam-6379	544	15	,	,	PUNCT
ejpam-6379	544	16	burney	burney	PROPN
ejpam-6379	544	17	a	a	DET
ejpam-6379	544	18	kieke	kieke	PROPN
ejpam-6379	544	19	,	,	PUNCT
ejpam-6379	544	20	manjusha	manjusha	ADJ
ejpam-6379	544	21	gaglani	gaglani	PROPN
ejpam-6379	544	22	,	,	PUNCT
ejpam-6379	544	23	kempapura	kempapura	X
ejpam-6379	544	24	murthy	murthy	PROPN
ejpam-6379	544	25	,	,	PUNCT
ejpam-6379	544	26	pedro	pedro	VERB
ejpam-6379	544	27	a	a	DET
ejpam-6379	544	28	piedra	piedra	PROPN
ejpam-6379	544	29	,	,	PUNCT
ejpam-6379	544	30	richard	richard	PROPN
ejpam-6379	544	31	k	k	PROPN
ejpam-6379	544	32	zimmerman	zimmerman	PROPN
ejpam-6379	544	33	,	,	PUNCT
ejpam-6379	544	34	mary	mary	PROPN
ejpam-6379	544	35	patricia	patricia	PROPN
ejpam-6379	544	36	nowalk	nowalk	PROPN
ejpam-6379	544	37	,	,	PUNCT
ejpam-6379	544	38	jonathan	jonathan	PROPN
ejpam-6379	544	39	m	m	PROPN
ejpam-6379	544	40	raviotta	raviotta	NOUN
ejpam-6379	544	41	,	,	PUNCT
ejpam-6379	544	42	et	et	PROPN
ejpam-6379	544	43	al	al	PROPN
ejpam-6379	544	44	.	.	PUNCT
ejpam-6379	545	1	influenza	influenza	ADJ
ejpam-6379	545	2	vaccine	vaccine	NOUN
ejpam-6379	545	3	effectiveness	effectiveness	NOUN
ejpam-6379	545	4	in	in	ADP
ejpam-6379	545	5	the	the	DET
ejpam-6379	545	6	united	united	PROPN
ejpam-6379	545	7	states	states	PROPN
ejpam-6379	545	8	during	during	ADP
ejpam-6379	545	9	2012–2013	2012–2013	NUM
ejpam-6379	545	10	:	:	PUNCT
ejpam-6379	545	11	variable	variable	ADJ
ejpam-6379	545	12	protection	protection	NOUN
ejpam-6379	545	13	by	by	ADP
ejpam-6379	545	14	age	age	NOUN
ejpam-6379	545	15	and	and	CCONJ
ejpam-6379	545	16	virus	virus	NOUN
ejpam-6379	545	17	type	type	NOUN
ejpam-6379	545	18	.	.	PUNCT
ejpam-6379	546	1	the	the	DET
ejpam-6379	546	2	journal	journal	NOUN
ejpam-6379	546	3	of	of	ADP
ejpam-6379	546	4	infectious	infectious	ADJ
ejpam-6379	546	5	diseases	disease	NOUN
ejpam-6379	546	6	,	,	PUNCT
ejpam-6379	546	7	211(10):1529–1540	211(10):1529–1540	NUM
ejpam-6379	546	8	,	,	PUNCT
ejpam-6379	546	9	2015	2015	NUM
ejpam-6379	546	10	.	.	PUNCT
ejpam-6379	547	1	[	[	X
ejpam-6379	547	2	12	12	NUM
ejpam-6379	547	3	]	]	X
ejpam-6379	547	4	manjusha	manjusha	ADJ
ejpam-6379	547	5	gaglani	gaglani	PROPN
ejpam-6379	547	6	,	,	PUNCT
ejpam-6379	547	7	jessica	jessica	PROPN
ejpam-6379	547	8	pruszynski	pruszynski	NOUN
ejpam-6379	547	9	,	,	PUNCT
ejpam-6379	547	10	kempapura	kempapura	X
ejpam-6379	547	11	murthy	murthy	PROPN
ejpam-6379	547	12	,	,	PUNCT
ejpam-6379	547	13	lydia	lydia	PROPN
ejpam-6379	547	14	clipper	clipper	NOUN
ejpam-6379	547	15	,	,	PUNCT
ejpam-6379	547	16	anne	anne	PROPN
ejpam-6379	547	17	robertson	robertson	PROPN
ejpam-6379	547	18	,	,	PUNCT
ejpam-6379	547	19	michael	michael	PROPN
ejpam-6379	547	20	reis	reis	PROPN
ejpam-6379	547	21	,	,	PUNCT
ejpam-6379	547	22	jessie	jessie	PROPN
ejpam-6379	547	23	r	r	PROPN
ejpam-6379	547	24	chung	chung	PROPN
ejpam-6379	547	25	,	,	PUNCT
ejpam-6379	547	26	pedro	pedro	VERB
ejpam-6379	547	27	a	a	DET
ejpam-6379	547	28	piedra	piedra	PROPN
ejpam-6379	547	29	,	,	PUNCT
ejpam-6379	547	30	vasanthi	vasanthi	VERB
ejpam-6379	547	31	avadhanula	avadhanula	NOUN
ejpam-6379	547	32	,	,	PUNCT
ejpam-6379	547	33	mary	mary	PROPN
ejpam-6379	547	34	patricia	patricia	PROPN
ejpam-6379	547	35	nowalk	nowalk	PROPN
ejpam-6379	547	36	,	,	PUNCT
ejpam-6379	547	37	et	et	PROPN
ejpam-6379	547	38	al	al	PROPN
ejpam-6379	547	39	.	.	PUNCT
ejpam-6379	548	1	influenza	influenza	ADJ
ejpam-6379	548	2	vaccine	vaccine	NOUN
ejpam-6379	548	3	effectiveness	effectiveness	NOUN
ejpam-6379	548	4	against	against	ADP
ejpam-6379	548	5	2009	2009	NUM
ejpam-6379	548	6	pandemic	pandemic	ADJ
ejpam-6379	548	7	influenza	influenza	NOUN
ejpam-6379	548	8	a	a	DET
ejpam-6379	548	9	(	(	PUNCT
ejpam-6379	548	10	h1n1	h1n1	NOUN
ejpam-6379	548	11	)	)	PUNCT
ejpam-6379	548	12	virus	virus	NOUN
ejpam-6379	548	13	differed	differ	VERB
ejpam-6379	548	14	by	by	ADP
ejpam-6379	548	15	vaccine	vaccine	NOUN
ejpam-6379	548	16	type	type	NOUN
ejpam-6379	548	17	during	during	ADP
ejpam-6379	548	18	2013–2014	2013–2014	NUM
ejpam-6379	548	19	in	in	ADP
ejpam-6379	548	20	the	the	DET
ejpam-6379	548	21	united	united	PROPN
ejpam-6379	548	22	states	states	PROPN
ejpam-6379	548	23	.	.	PUNCT
ejpam-6379	549	1	the	the	DET
ejpam-6379	549	2	journal	journal	NOUN
ejpam-6379	549	3	of	of	ADP
ejpam-6379	549	4	infectious	infectious	ADJ
ejpam-6379	549	5	diseases	disease	NOUN
ejpam-6379	549	6	,	,	PUNCT
ejpam-6379	549	7	213(10):1546–1556	213(10):1546–1556	NUM
ejpam-6379	549	8	,	,	PUNCT
ejpam-6379	549	9	2016	2016	NUM
ejpam-6379	549	10	.	.	PUNCT
ejpam-6379	550	1	r.	r.	PROPN
ejpam-6379	550	2	saadeh	saadeh	PROPN
ejpam-6379	550	3	et	et	PROPN
ejpam-6379	550	4	al	al	PROPN
ejpam-6379	550	5	.	.	PUNCT
ejpam-6379	550	6	/	/	SYM
ejpam-6379	550	7	eur	eur	PROPN
ejpam-6379	550	8	.	.	PUNCT
ejpam-6379	551	1	j.	j.	PROPN
ejpam-6379	551	2	pure	pure	PROPN
ejpam-6379	551	3	appl	appl	PROPN
ejpam-6379	551	4	.	.	PROPN
ejpam-6379	551	5	math	math	PROPN
ejpam-6379	551	6	,	,	PUNCT
ejpam-6379	551	7	18	18	NUM
ejpam-6379	551	8	(	(	PUNCT
ejpam-6379	551	9	3	3	NUM
ejpam-6379	551	10	)	)	PUNCT
ejpam-6379	551	11	(	(	PUNCT
ejpam-6379	551	12	2025	2025	NUM
ejpam-6379	551	13	)	)	PUNCT
ejpam-6379	551	14	,	,	PUNCT
ejpam-6379	551	15	6379	6379	NUM
ejpam-6379	551	16	31	31	NUM
ejpam-6379	551	17	of	of	ADP
ejpam-6379	551	18	34	34	NUM
ejpam-6379	552	1	[	[	SYM
ejpam-6379	552	2	13	13	NUM
ejpam-6379	552	3	]	]	PUNCT
ejpam-6379	552	4	brendan	brendan	PROPN
ejpam-6379	552	5	flannery	flannery	PROPN
ejpam-6379	552	6	,	,	PUNCT
ejpam-6379	552	7	rebecca	rebecca	PROPN
ejpam-6379	552	8	j	j	PROPN
ejpam-6379	552	9	garten	garten	PROPN
ejpam-6379	552	10	kondor	kondor	PROPN
ejpam-6379	552	11	,	,	PUNCT
ejpam-6379	552	12	jessie	jessie	PROPN
ejpam-6379	552	13	r	r	PROPN
ejpam-6379	552	14	chung	chung	PROPN
ejpam-6379	552	15	,	,	PUNCT
ejpam-6379	552	16	manjusha	manjusha	ADJ
ejpam-6379	552	17	gaglani	gaglani	NOUN
ejpam-6379	552	18	,	,	PUNCT
ejpam-6379	552	19	michael	michael	PROPN
ejpam-6379	552	20	reis	reis	PROPN
ejpam-6379	552	21	,	,	PUNCT
ejpam-6379	552	22	richard	richard	PROPN
ejpam-6379	552	23	k	k	PROPN
ejpam-6379	552	24	zimmerman	zimmerman	PROPN
ejpam-6379	552	25	,	,	PUNCT
ejpam-6379	552	26	mary	mary	PROPN
ejpam-6379	552	27	patricia	patricia	PROPN
ejpam-6379	552	28	nowalk	nowalk	PROPN
ejpam-6379	552	29	,	,	PUNCT
ejpam-6379	552	30	michael	michael	PROPN
ejpam-6379	552	31	l	l	PROPN
ejpam-6379	552	32	jackson	jackson	PROPN
ejpam-6379	552	33	,	,	PUNCT
ejpam-6379	552	34	lisa	lisa	PROPN
ejpam-6379	552	35	a	a	DET
ejpam-6379	552	36	jackson	jackson	PROPN
ejpam-6379	552	37	,	,	PUNCT
ejpam-6379	552	38	arnold	arnold	PROPN
ejpam-6379	552	39	s	s	PART
ejpam-6379	552	40	monto	monto	PROPN
ejpam-6379	552	41	,	,	PUNCT
ejpam-6379	552	42	et	et	PROPN
ejpam-6379	552	43	al	al	PROPN
ejpam-6379	552	44	.	.	PROPN
ejpam-6379	552	45	spread	spread	PROPN
ejpam-6379	552	46	of	of	ADP
ejpam-6379	552	47	antigenically	antigenically	ADV
ejpam-6379	552	48	drifted	drift	VERB
ejpam-6379	552	49	influenza	influenza	NOUN
ejpam-6379	552	50	a	a	DET
ejpam-6379	552	51	(	(	PUNCT
ejpam-6379	552	52	h3n2	h3n2	NOUN
ejpam-6379	552	53	)	)	PUNCT
ejpam-6379	552	54	viruses	virus	NOUN
ejpam-6379	552	55	and	and	CCONJ
ejpam-6379	552	56	vaccine	vaccine	NOUN
ejpam-6379	552	57	effectiveness	effectiveness	NOUN
ejpam-6379	552	58	in	in	ADP
ejpam-6379	552	59	the	the	DET
ejpam-6379	552	60	united	united	PROPN
ejpam-6379	552	61	states	states	PROPN
ejpam-6379	552	62	during	during	ADP
ejpam-6379	552	63	the	the	DET
ejpam-6379	552	64	2018–2019	2018–2019	NUM
ejpam-6379	552	65	season	season	NOUN
ejpam-6379	552	66	.	.	PUNCT
ejpam-6379	553	1	the	the	DET
ejpam-6379	553	2	journal	journal	NOUN
ejpam-6379	553	3	of	of	ADP
ejpam-6379	553	4	infectious	infectious	ADJ
ejpam-6379	553	5	diseases	disease	NOUN
ejpam-6379	553	6	,	,	PUNCT
ejpam-6379	553	7	221(1):8–15	221(1):8–15	PROPN
ejpam-6379	553	8	,	,	PUNCT
ejpam-6379	553	9	2020	2020	NUM
ejpam-6379	553	10	.	.	PUNCT
ejpam-6379	554	1	[	[	X
ejpam-6379	554	2	14	14	NUM
ejpam-6379	554	3	]	]	X
ejpam-6379	554	4	mark	mark	PROPN
ejpam-6379	554	5	w	w	PROPN
ejpam-6379	554	6	tenforde	tenforde	PROPN
ejpam-6379	554	7	,	,	PUNCT
ejpam-6379	554	8	rebecca	rebecca	PROPN
ejpam-6379	554	9	j	j	PROPN
ejpam-6379	554	10	garten	garten	PROPN
ejpam-6379	554	11	kondor	kondor	PROPN
ejpam-6379	554	12	,	,	PUNCT
ejpam-6379	554	13	jessie	jessie	PROPN
ejpam-6379	554	14	r	r	PROPN
ejpam-6379	554	15	chung	chung	PROPN
ejpam-6379	554	16	,	,	PUNCT
ejpam-6379	554	17	richard	richard	PROPN
ejpam-6379	554	18	k	k	PROPN
ejpam-6379	554	19	zimmerman	zimmerman	PROPN
ejpam-6379	554	20	,	,	PUNCT
ejpam-6379	554	21	mary	mary	PROPN
ejpam-6379	554	22	patricia	patricia	PROPN
ejpam-6379	554	23	nowalk	nowalk	PROPN
ejpam-6379	554	24	,	,	PUNCT
ejpam-6379	554	25	michael	michael	PROPN
ejpam-6379	554	26	l	l	PROPN
ejpam-6379	554	27	jackson	jackson	PROPN
ejpam-6379	554	28	,	,	PUNCT
ejpam-6379	554	29	lisa	lisa	PROPN
ejpam-6379	554	30	a	a	DET
ejpam-6379	554	31	jackson	jackson	PROPN
ejpam-6379	554	32	,	,	PUNCT
ejpam-6379	554	33	arnold	arnold	PROPN
ejpam-6379	554	34	s	s	PART
ejpam-6379	554	35	monto	monto	PROPN
ejpam-6379	554	36	,	,	PUNCT
ejpam-6379	554	37	emily	emily	PROPN
ejpam-6379	554	38	t	t	PROPN
ejpam-6379	554	39	martin	martin	PROPN
ejpam-6379	554	40	,	,	PUNCT
ejpam-6379	554	41	edward	edward	NOUN
ejpam-6379	554	42	a	a	DET
ejpam-6379	554	43	belongia	belongia	NOUN
ejpam-6379	554	44	,	,	PUNCT
ejpam-6379	554	45	et	et	PROPN
ejpam-6379	554	46	al	al	PROPN
ejpam-6379	554	47	.	.	PROPN
ejpam-6379	554	48	effect	effect	NOUN
ejpam-6379	554	49	of	of	ADP
ejpam-6379	554	50	antigenic	antigenic	ADJ
ejpam-6379	554	51	drift	drift	NOUN
ejpam-6379	554	52	on	on	ADP
ejpam-6379	554	53	influenza	influenza	ADJ
ejpam-6379	554	54	vaccine	vaccine	NOUN
ejpam-6379	554	55	effectiveness	effectiveness	NOUN
ejpam-6379	554	56	in	in	ADP
ejpam-6379	554	57	the	the	DET
ejpam-6379	554	58	united	united	PROPN
ejpam-6379	554	59	states—2019–2020	states—2019–2020	PROPN
ejpam-6379	554	60	.	.	PUNCT
ejpam-6379	555	1	clinical	clinical	ADJ
ejpam-6379	555	2	infectious	infectious	ADJ
ejpam-6379	555	3	diseases	disease	NOUN
ejpam-6379	555	4	,	,	PUNCT
ejpam-6379	555	5	73(11):e4244	73(11):e4244	NUM
ejpam-6379	555	6	–	–	PUNCT
ejpam-6379	555	7	e4250	e4250	NOUN
ejpam-6379	555	8	,	,	PUNCT
ejpam-6379	555	9	2021	2021	NUM
ejpam-6379	555	10	.	.	PUNCT
ejpam-6379	556	1	[	[	X
ejpam-6379	556	2	15	15	NUM
ejpam-6379	556	3	]	]	X
ejpam-6379	556	4	ali	ali	PROPN
ejpam-6379	556	5	m	m	PROPN
ejpam-6379	556	6	alhazmi	alhazmi	PROPN
ejpam-6379	556	7	,	,	PUNCT
ejpam-6379	556	8	sulaiman	sulaiman	PROPN
ejpam-6379	556	9	a	a	DET
ejpam-6379	556	10	alshammari	alshammari	NOUN
ejpam-6379	556	11	,	,	PUNCT
ejpam-6379	556	12	hanan	hanan	NOUN
ejpam-6379	556	13	a	a	DET
ejpam-6379	556	14	alenazi	alenazi	PROPN
ejpam-6379	556	15	,	,	PUNCT
ejpam-6379	556	16	shaffi	shaffi	VERB
ejpam-6379	556	17	a	a	DET
ejpam-6379	556	18	shaik	shaik	NOUN
ejpam-6379	556	19	,	,	PUNCT
ejpam-6379	556	20	hala	hala	PROPN
ejpam-6379	556	21	m	m	PROPN
ejpam-6379	556	22	alzaid	alzaid	PROPN
ejpam-6379	556	23	,	,	PUNCT
ejpam-6379	556	24	nouf	nouf	PROPN
ejpam-6379	556	25	s	s	VERB
ejpam-6379	556	26	almahmoud	almahmoud	ADJ
ejpam-6379	556	27	,	,	PUNCT
ejpam-6379	556	28	and	and	CCONJ
ejpam-6379	556	29	hotoon	hotoon	NOUN
ejpam-6379	556	30	s	s	PART
ejpam-6379	556	31	alshammari	alshammari	ADJ
ejpam-6379	556	32	.	.	PUNCT
ejpam-6379	557	1	community	community	NOUN
ejpam-6379	557	2	’s	’s	PART
ejpam-6379	557	3	compliance	compliance	NOUN
ejpam-6379	557	4	with	with	ADP
ejpam-6379	557	5	measures	measure	NOUN
ejpam-6379	557	6	for	for	ADP
ejpam-6379	557	7	the	the	DET
ejpam-6379	557	8	prevention	prevention	NOUN
ejpam-6379	557	9	of	of	ADP
ejpam-6379	557	10	respiratory	respiratory	ADJ
ejpam-6379	557	11	infections	infection	NOUN
ejpam-6379	557	12	in	in	ADP
ejpam-6379	557	13	riyadh	riyadh	PROPN
ejpam-6379	557	14	,	,	PUNCT
ejpam-6379	557	15	saudi	saudi	PROPN
ejpam-6379	557	16	arabia	arabia	PROPN
ejpam-6379	557	17	.	.	PUNCT
ejpam-6379	558	1	journal	journal	PROPN
ejpam-6379	558	2	of	of	ADP
ejpam-6379	558	3	family	family	NOUN
ejpam-6379	558	4	and	and	CCONJ
ejpam-6379	558	5	community	community	NOUN
ejpam-6379	558	6	medicine	medicine	NOUN
ejpam-6379	558	7	,	,	PUNCT
ejpam-6379	558	8	26(3):173–180	26(3):173–180	PROPN
ejpam-6379	558	9	,	,	PUNCT
ejpam-6379	558	10	2019	2019	NUM
ejpam-6379	558	11	.	.	PUNCT
ejpam-6379	559	1	[	[	X
ejpam-6379	559	2	16	16	NUM
ejpam-6379	559	3	]	]	X
ejpam-6379	559	4	mazin	mazin	PROPN
ejpam-6379	559	5	a	a	DET
ejpam-6379	559	6	barry	barry	PROPN
ejpam-6379	559	7	,	,	PUNCT
ejpam-6379	559	8	khalid	khalid	PROPN
ejpam-6379	559	9	i	i	PROPN
ejpam-6379	559	10	aljammaz	aljammaz	PROPN
ejpam-6379	559	11	,	,	PUNCT
ejpam-6379	559	12	and	and	CCONJ
ejpam-6379	559	13	abdulaziz	abdulaziz	PROPN
ejpam-6379	559	14	a	a	DET
ejpam-6379	559	15	alrashed	alrashe	VERB
ejpam-6379	559	16	.	.	PUNCT
ejpam-6379	560	1	knowledge	knowledge	NOUN
ejpam-6379	560	2	,	,	PUNCT
ejpam-6379	560	3	attitude	attitude	NOUN
ejpam-6379	560	4	,	,	PUNCT
ejpam-6379	560	5	and	and	CCONJ
ejpam-6379	560	6	barriers	barrier	NOUN
ejpam-6379	560	7	influencing	influence	VERB
ejpam-6379	560	8	seasonal	seasonal	ADJ
ejpam-6379	560	9	influenza	influenza	NOUN
ejpam-6379	560	10	vaccination	vaccination	NOUN
ejpam-6379	560	11	uptake	uptake	ADJ
ejpam-6379	560	12	.	.	PUNCT
ejpam-6379	561	1	canadian	canadian	ADJ
ejpam-6379	561	2	journal	journal	NOUN
ejpam-6379	561	3	of	of	ADP
ejpam-6379	561	4	infectious	infectious	ADJ
ejpam-6379	561	5	diseases	disease	NOUN
ejpam-6379	561	6	and	and	CCONJ
ejpam-6379	561	7	medical	medical	ADJ
ejpam-6379	561	8	microbiology	microbiology	NOUN
ejpam-6379	561	9	,	,	PUNCT
ejpam-6379	561	10	2020:1–6	2020:1–6	PRON
ejpam-6379	561	11	,	,	PUNCT
ejpam-6379	561	12	2020	2020	NUM
ejpam-6379	561	13	.	.	PUNCT
ejpam-6379	562	1	[	[	X
ejpam-6379	562	2	17	17	NUM
ejpam-6379	562	3	]	]	X
ejpam-6379	562	4	alaa	alaa	PROPN
ejpam-6379	562	5	a	a	DET
ejpam-6379	562	6	aljamili	aljamili	NOUN
ejpam-6379	562	7	.	.	PUNCT
ejpam-6379	563	1	knowledge	knowledge	NOUN
ejpam-6379	563	2	and	and	CCONJ
ejpam-6379	563	3	practice	practice	NOUN
ejpam-6379	563	4	toward	toward	ADP
ejpam-6379	563	5	seasonal	seasonal	ADJ
ejpam-6379	563	6	influenza	influenza	NOUN
ejpam-6379	563	7	vaccine	vaccine	NOUN
ejpam-6379	563	8	and	and	CCONJ
ejpam-6379	563	9	its	its	PRON
ejpam-6379	563	10	barriers	barrier	NOUN
ejpam-6379	563	11	at	at	ADP
ejpam-6379	563	12	the	the	DET
ejpam-6379	563	13	community	community	NOUN
ejpam-6379	563	14	level	level	NOUN
ejpam-6379	563	15	in	in	ADP
ejpam-6379	563	16	riyadh	riyadh	PROPN
ejpam-6379	563	17	,	,	PUNCT
ejpam-6379	563	18	saudi	saudi	PROPN
ejpam-6379	563	19	arabia	arabia	PROPN
ejpam-6379	563	20	.	.	PUNCT
ejpam-6379	564	1	journal	journal	PROPN
ejpam-6379	564	2	of	of	ADP
ejpam-6379	564	3	family	family	NOUN
ejpam-6379	564	4	medicine	medicine	NOUN
ejpam-6379	564	5	and	and	CCONJ
ejpam-6379	564	6	primary	primary	ADJ
ejpam-6379	564	7	care	care	NOUN
ejpam-6379	564	8	,	,	PUNCT
ejpam-6379	564	9	9(3):1331–1339	9(3):1331–1339	PROPN
ejpam-6379	564	10	,	,	PUNCT
ejpam-6379	564	11	2020	2020	NUM
ejpam-6379	564	12	.	.	PUNCT
ejpam-6379	565	1	[	[	X
ejpam-6379	565	2	18	18	NUM
ejpam-6379	565	3	]	]	X
ejpam-6379	565	4	amel	amel	PROPN
ejpam-6379	565	5	ahmed	ahmed	PROPN
ejpam-6379	565	6	fayed	fayed	PROPN
ejpam-6379	565	7	,	,	PUNCT
ejpam-6379	565	8	abeer	abeer	PROPN
ejpam-6379	565	9	salem	salem	PROPN
ejpam-6379	565	10	al	al	PROPN
ejpam-6379	565	11	shahrani	shahrani	PROPN
ejpam-6379	565	12	,	,	PUNCT
ejpam-6379	565	13	leenah	leenah	PROPN
ejpam-6379	565	14	tawfiq	tawfiq	PROPN
ejpam-6379	565	15	almanea	almanea	PROPN
ejpam-6379	565	16	,	,	PUNCT
ejpam-6379	565	17	nardeen	nardeen	PROPN
ejpam-6379	565	18	ibrahim	ibrahim	PROPN
ejpam-6379	565	19	alsweed	alsweed	PROPN
ejpam-6379	565	20	,	,	PUNCT
ejpam-6379	565	21	layla	layla	PROPN
ejpam-6379	565	22	mohammed	mohammed	PROPN
ejpam-6379	565	23	almarzoug	almarzoug	PROPN
ejpam-6379	565	24	,	,	PUNCT
ejpam-6379	565	25	reham	reham	NOUN
ejpam-6379	565	26	ibrahim	ibrahim	PROPN
ejpam-6379	565	27	almuwallad	almuwallad	VERB
ejpam-6379	565	28	,	,	PUNCT
ejpam-6379	565	29	and	and	CCONJ
ejpam-6379	565	30	waad	waad	PROPN
ejpam-6379	565	31	fahad	fahad	PROPN
ejpam-6379	565	32	almugren	almugren	PROPN
ejpam-6379	565	33	.	.	PUNCT
ejpam-6379	566	1	willingness	willingness	NOUN
ejpam-6379	566	2	to	to	PART
ejpam-6379	566	3	receive	receive	VERB
ejpam-6379	566	4	the	the	DET
ejpam-6379	566	5	covid-19	covid-19	PROPN
ejpam-6379	566	6	and	and	CCONJ
ejpam-6379	566	7	seasonal	seasonal	ADJ
ejpam-6379	566	8	influenza	influenza	NOUN
ejpam-6379	566	9	vaccines	vaccine	NOUN
ejpam-6379	566	10	among	among	ADP
ejpam-6379	566	11	the	the	DET
ejpam-6379	566	12	saudi	saudi	ADJ
ejpam-6379	566	13	population	population	NOUN
ejpam-6379	566	14	and	and	CCONJ
ejpam-6379	566	15	vaccine	vaccine	NOUN
ejpam-6379	566	16	uptake	uptake	ADJ
ejpam-6379	566	17	during	during	ADP
ejpam-6379	566	18	the	the	DET
ejpam-6379	566	19	initial	initial	ADJ
ejpam-6379	566	20	stage	stage	NOUN
ejpam-6379	566	21	of	of	ADP
ejpam-6379	566	22	the	the	DET
ejpam-6379	566	23	national	national	ADJ
ejpam-6379	566	24	vaccination	vaccination	NOUN
ejpam-6379	566	25	campaign	campaign	NOUN
ejpam-6379	566	26	:	:	PUNCT
ejpam-6379	566	27	a	a	DET
ejpam-6379	566	28	cross	cross	ADJ
ejpam-6379	566	29	-	-	ADJ
ejpam-6379	566	30	sectional	sectional	ADJ
ejpam-6379	566	31	survey	survey	NOUN
ejpam-6379	566	32	.	.	PUNCT
ejpam-6379	567	1	vaccines	vaccine	NOUN
ejpam-6379	567	2	,	,	PUNCT
ejpam-6379	567	3	9(7):765	9(7):765	NUM
ejpam-6379	567	4	,	,	PUNCT
ejpam-6379	567	5	2021	2021	NUM
ejpam-6379	567	6	.	.	PUNCT
ejpam-6379	568	1	[	[	X
ejpam-6379	568	2	19	19	NUM
ejpam-6379	568	3	]	]	X
ejpam-6379	568	4	ibrahim	ibrahim	PROPN
ejpam-6379	568	5	a	a	DET
ejpam-6379	568	6	sales	sale	NOUN
ejpam-6379	568	7	,	,	PUNCT
ejpam-6379	568	8	wajid	wajid	PROPN
ejpam-6379	568	9	syed	syed	PROPN
ejpam-6379	568	10	,	,	PUNCT
ejpam-6379	568	11	majed	majed	PROPN
ejpam-6379	568	12	f	f	PROPN
ejpam-6379	568	13	almutairi	almutairi	PROPN
ejpam-6379	568	14	,	,	PUNCT
ejpam-6379	568	15	and	and	CCONJ
ejpam-6379	568	16	yazed	yaze	VERB
ejpam-6379	568	17	al	al	PROPN
ejpam-6379	568	18	ruthia	ruthia	NOUN
ejpam-6379	568	19	.	.	PUNCT
ejpam-6379	569	1	public	public	ADJ
ejpam-6379	569	2	knowledge	knowledge	NOUN
ejpam-6379	569	3	,	,	PUNCT
ejpam-6379	569	4	attitudes	attitude	NOUN
ejpam-6379	569	5	,	,	PUNCT
ejpam-6379	569	6	and	and	CCONJ
ejpam-6379	569	7	practices	practice	NOUN
ejpam-6379	569	8	toward	toward	ADP
ejpam-6379	569	9	seasonal	seasonal	ADJ
ejpam-6379	569	10	influenza	influenza	NOUN
ejpam-6379	569	11	vaccine	vaccine	NOUN
ejpam-6379	569	12	in	in	ADP
ejpam-6379	569	13	saudi	saudi	PROPN
ejpam-6379	569	14	arabia	arabia	PROPN
ejpam-6379	569	15	:	:	PUNCT
ejpam-6379	569	16	a	a	DET
ejpam-6379	569	17	cross	cross	ADJ
ejpam-6379	569	18	-	-	ADJ
ejpam-6379	569	19	sectional	sectional	ADJ
ejpam-6379	569	20	study	study	NOUN
ejpam-6379	569	21	.	.	PUNCT
ejpam-6379	570	1	international	international	ADJ
ejpam-6379	570	2	journal	journal	PROPN
ejpam-6379	570	3	of	of	ADP
ejpam-6379	570	4	environmental	environmental	ADJ
ejpam-6379	570	5	research	research	NOUN
ejpam-6379	570	6	and	and	CCONJ
ejpam-6379	570	7	public	public	ADJ
ejpam-6379	570	8	health	health	NOUN
ejpam-6379	570	9	,	,	PUNCT
ejpam-6379	570	10	18(2):479	18(2):479	NUM
ejpam-6379	570	11	,	,	PUNCT
ejpam-6379	570	12	2021	2021	NUM
ejpam-6379	570	13	.	.	PUNCT
ejpam-6379	571	1	[	[	X
ejpam-6379	571	2	20	20	NUM
ejpam-6379	571	3	]	]	X
ejpam-6379	571	4	faisal	faisal	PROPN
ejpam-6379	571	5	minshawi	minshawi	PROPN
ejpam-6379	571	6	,	,	PUNCT
ejpam-6379	571	7	mohammed	mohammed	PROPN
ejpam-6379	571	8	samannodi	samannodi	PROPN
ejpam-6379	571	9	,	,	PUNCT
ejpam-6379	571	10	hassan	hassan	PROPN
ejpam-6379	571	11	alwafi	alwafi	PROPN
ejpam-6379	571	12	,	,	PUNCT
ejpam-6379	571	13	hamza	hamza	PROPN
ejpam-6379	571	14	m	m	PROPN
ejpam-6379	571	15	assaggaf	assaggaf	PROPN
ejpam-6379	571	16	,	,	PUNCT
ejpam-6379	571	17	mohammed	mohammed	PROPN
ejpam-6379	571	18	a	a	DET
ejpam-6379	571	19	almatrafi	almatrafi	PROPN
ejpam-6379	571	20	,	,	PUNCT
ejpam-6379	571	21	emad	emad	PROPN
ejpam-6379	571	22	salawati	salawati	PROPN
ejpam-6379	571	23	,	,	PUNCT
ejpam-6379	571	24	radi	radi	NOUN
ejpam-6379	571	25	alsafi	alsafi	PROPN
ejpam-6379	571	26	,	,	PUNCT
ejpam-6379	571	27	ruba	ruba	PROPN
ejpam-6379	571	28	a	a	DET
ejpam-6379	571	29	alharbi	alharbi	NOUN
ejpam-6379	571	30	,	,	PUNCT
ejpam-6379	571	31	raghad	raghad	PROPN
ejpam-6379	571	32	f	f	PROPN
ejpam-6379	571	33	alduais	alduais	PROPN
ejpam-6379	571	34	,	,	PUNCT
ejpam-6379	571	35	muruj	muruj	NOUN
ejpam-6379	571	36	alrehaili	alrehaili	NOUN
ejpam-6379	571	37	,	,	PUNCT
ejpam-6379	571	38	et	et	PROPN
ejpam-6379	571	39	al	al	PROPN
ejpam-6379	571	40	.	.	PUNCT
ejpam-6379	572	1	the	the	DET
ejpam-6379	572	2	influence	influence	NOUN
ejpam-6379	572	3	of	of	ADP
ejpam-6379	572	4	covid-19	covid-19	PROPN
ejpam-6379	572	5	pandemic	pandemic	ADJ
ejpam-6379	572	6	on	on	ADP
ejpam-6379	572	7	influenza	influenza	ADJ
ejpam-6379	572	8	immunization	immunization	NOUN
ejpam-6379	572	9	in	in	ADP
ejpam-6379	572	10	saudi	saudi	PROPN
ejpam-6379	572	11	arabia	arabia	PROPN
ejpam-6379	572	12	:	:	PUNCT
ejpam-6379	572	13	cross	cross	ADJ
ejpam-6379	572	14	-	-	ADJ
ejpam-6379	572	15	sectional	sectional	ADJ
ejpam-6379	572	16	study	study	NOUN
ejpam-6379	572	17	.	.	PUNCT
ejpam-6379	573	1	journal	journal	NOUN
ejpam-6379	573	2	of	of	ADP
ejpam-6379	573	3	multidisciplinary	multidisciplinary	ADJ
ejpam-6379	573	4	healthcare	healthcare	NOUN
ejpam-6379	573	5	,	,	PUNCT
ejpam-6379	573	6	pages	page	NOUN
ejpam-6379	573	7	1841–1849	1841–1849	NUM
ejpam-6379	573	8	,	,	PUNCT
ejpam-6379	573	9	2022	2022	NUM
ejpam-6379	573	10	.	.	PUNCT
ejpam-6379	574	1	[	[	X
ejpam-6379	574	2	21	21	NUM
ejpam-6379	574	3	]	]	X
ejpam-6379	574	4	ahmad	ahmad	PROPN
ejpam-6379	574	5	qazza	qazza	PROPN
ejpam-6379	574	6	and	and	CCONJ
ejpam-6379	574	7	rania	rania	PROPN
ejpam-6379	574	8	saadeh	saadeh	PROPN
ejpam-6379	574	9	.	.	PUNCT
ejpam-6379	575	1	on	on	ADP
ejpam-6379	575	2	the	the	DET
ejpam-6379	575	3	analytical	analytical	ADJ
ejpam-6379	575	4	solution	solution	NOUN
ejpam-6379	575	5	of	of	ADP
ejpam-6379	575	6	fractional	fractional	ADJ
ejpam-6379	575	7	sir	sir	NOUN
ejpam-6379	575	8	epidemic	epidemic	NOUN
ejpam-6379	575	9	model	model	NOUN
ejpam-6379	575	10	.	.	PUNCT
ejpam-6379	576	1	applied	apply	VERB
ejpam-6379	576	2	computational	computational	ADJ
ejpam-6379	576	3	intelligence	intelligence	NOUN
ejpam-6379	576	4	and	and	CCONJ
ejpam-6379	576	5	soft	soft	ADJ
ejpam-6379	576	6	computing	computing	NOUN
ejpam-6379	576	7	,	,	PUNCT
ejpam-6379	576	8	2023(1):6973734	2023(1):6973734	NUM
ejpam-6379	576	9	,	,	PUNCT
ejpam-6379	576	10	2023	2023	NUM
ejpam-6379	576	11	.	.	PUNCT
ejpam-6379	577	1	[	[	X
ejpam-6379	577	2	22	22	NUM
ejpam-6379	577	3	]	]	X
ejpam-6379	577	4	emad	emad	PROPN
ejpam-6379	577	5	salah	salah	PROPN
ejpam-6379	577	6	,	,	PUNCT
ejpam-6379	577	7	rania	rania	PROPN
ejpam-6379	577	8	saadeh	saadeh	PROPN
ejpam-6379	577	9	,	,	PUNCT
ejpam-6379	577	10	ahmad	ahmad	PROPN
ejpam-6379	577	11	qazza	qazza	PROPN
ejpam-6379	577	12	,	,	PUNCT
ejpam-6379	577	13	and	and	CCONJ
ejpam-6379	577	14	raed	raed	PROPN
ejpam-6379	577	15	hatamleh	hatamleh	PROPN
ejpam-6379	577	16	.	.	PUNCT
ejpam-6379	578	1	direct	direct	ADJ
ejpam-6379	578	2	power	power	NOUN
ejpam-6379	578	3	series	series	PROPN
ejpam-6379	578	4	approach	approach	NOUN
ejpam-6379	578	5	for	for	ADP
ejpam-6379	578	6	solving	solve	VERB
ejpam-6379	578	7	nonlinear	nonlinear	ADJ
ejpam-6379	578	8	initial	initial	ADJ
ejpam-6379	578	9	value	value	NOUN
ejpam-6379	578	10	problems	problem	NOUN
ejpam-6379	578	11	.	.	PUNCT
ejpam-6379	579	1	axioms	axiom	NOUN
ejpam-6379	579	2	,	,	PUNCT
ejpam-6379	579	3	12(2):111	12(2):111	NOUN
ejpam-6379	579	4	,	,	PUNCT
ejpam-6379	579	5	2023	2023	NUM
ejpam-6379	579	6	.	.	PUNCT
ejpam-6379	580	1	[	[	X
ejpam-6379	580	2	23	23	NUM
ejpam-6379	580	3	]	]	X
ejpam-6379	580	4	rania	rania	PROPN
ejpam-6379	580	5	saadeh	saadeh	PROPN
ejpam-6379	580	6	,	,	PUNCT
ejpam-6379	580	7	osama	osama	PROPN
ejpam-6379	580	8	ala’yed	ala’ye	VERB
ejpam-6379	580	9	,	,	PUNCT
ejpam-6379	580	10	and	and	CCONJ
ejpam-6379	580	11	ahmad	ahmad	PROPN
ejpam-6379	580	12	qazza	qazza	PROPN
ejpam-6379	580	13	.	.	PUNCT
ejpam-6379	581	1	analytical	analytical	ADJ
ejpam-6379	581	2	solution	solution	NOUN
ejpam-6379	581	3	of	of	ADP
ejpam-6379	581	4	coupled	couple	VERB
ejpam-6379	581	5	hirota	hirota	PROPN
ejpam-6379	581	6	–	–	PUNCT
ejpam-6379	581	7	satsuma	satsuma	NOUN
ejpam-6379	581	8	and	and	CCONJ
ejpam-6379	581	9	kdv	kdv	PROPN
ejpam-6379	581	10	equations	equation	NOUN
ejpam-6379	581	11	.	.	PUNCT
ejpam-6379	582	1	fractal	fractal	PROPN
ejpam-6379	582	2	and	and	CCONJ
ejpam-6379	582	3	fractional	fractional	ADJ
ejpam-6379	582	4	,	,	PUNCT
ejpam-6379	582	5	6(12):694	6(12):694	NUM
ejpam-6379	582	6	,	,	PUNCT
ejpam-6379	582	7	2022	2022	NUM
ejpam-6379	582	8	.	.	PUNCT
ejpam-6379	583	1	[	[	X
ejpam-6379	583	2	24	24	NUM
ejpam-6379	583	3	]	]	X
ejpam-6379	583	4	rania	rania	PROPN
ejpam-6379	583	5	saadeh	saadeh	PROPN
ejpam-6379	583	6	,	,	PUNCT
ejpam-6379	583	7	mohammad	mohammad	PROPN
ejpam-6379	583	8	abu	abu	PROPN
ejpam-6379	583	9	-	-	PUNCT
ejpam-6379	583	10	ghuwaleh	ghuwaleh	PROPN
ejpam-6379	583	11	,	,	PUNCT
ejpam-6379	583	12	ahmad	ahmad	PROPN
ejpam-6379	583	13	qazza	qazza	PROPN
ejpam-6379	583	14	,	,	PUNCT
ejpam-6379	583	15	and	and	CCONJ
ejpam-6379	583	16	emad	emad	PROPN
ejpam-6379	583	17	kuffi	kuffi	PROPN
ejpam-6379	583	18	.	.	PUNCT
ejpam-6379	584	1	a	a	DET
ejpam-6379	584	2	funr	funr	PROPN
ejpam-6379	584	3	.	.	PUNCT
ejpam-6379	585	1	saadeh	saadeh	PROPN
ejpam-6379	585	2	et	et	PROPN
ejpam-6379	585	3	al	al	PROPN
ejpam-6379	585	4	.	.	PUNCT
ejpam-6379	585	5	/	/	SYM
ejpam-6379	585	6	eur	eur	PROPN
ejpam-6379	585	7	.	.	PUNCT
ejpam-6379	586	1	j.	j.	PROPN
ejpam-6379	586	2	pure	pure	PROPN
ejpam-6379	586	3	appl	appl	PROPN
ejpam-6379	586	4	.	.	PROPN
ejpam-6379	586	5	math	math	PROPN
ejpam-6379	586	6	,	,	PUNCT
ejpam-6379	586	7	18	18	NUM
ejpam-6379	586	8	(	(	PUNCT
ejpam-6379	586	9	3	3	NUM
ejpam-6379	586	10	)	)	PUNCT
ejpam-6379	586	11	(	(	PUNCT
ejpam-6379	586	12	2025	2025	NUM
ejpam-6379	586	13	)	)	PUNCT
ejpam-6379	586	14	,	,	PUNCT
ejpam-6379	586	15	6379	6379	NUM
ejpam-6379	586	16	32	32	NUM
ejpam-6379	586	17	of	of	ADP
ejpam-6379	586	18	34	34	NUM
ejpam-6379	586	19	damental	damental	ADJ
ejpam-6379	586	20	criteria	criterion	NOUN
ejpam-6379	586	21	to	to	PART
ejpam-6379	586	22	establish	establish	VERB
ejpam-6379	586	23	general	general	ADJ
ejpam-6379	586	24	formulas	formula	NOUN
ejpam-6379	586	25	of	of	ADP
ejpam-6379	586	26	integrals	integral	NOUN
ejpam-6379	586	27	.	.	PUNCT
ejpam-6379	587	1	journal	journal	NOUN
ejpam-6379	587	2	of	of	ADP
ejpam-6379	587	3	applied	apply	VERB
ejpam-6379	587	4	mathematics	mathematic	NOUN
ejpam-6379	587	5	,	,	PUNCT
ejpam-6379	587	6	2022(1):6049367	2022(1):6049367	NUM
ejpam-6379	587	7	,	,	PUNCT
ejpam-6379	587	8	2022	2022	NUM
ejpam-6379	587	9	.	.	PUNCT
ejpam-6379	588	1	[	[	X
ejpam-6379	588	2	25	25	NUM
ejpam-6379	588	3	]	]	PUNCT
ejpam-6379	588	4	mohamed	mohame	VERB
ejpam-6379	588	5	a	a	DET
ejpam-6379	588	6	abdoon	abdoon	NOUN
ejpam-6379	588	7	.	.	PUNCT
ejpam-6379	589	1	first	first	ADJ
ejpam-6379	589	2	integral	integral	ADJ
ejpam-6379	589	3	method	method	NOUN
ejpam-6379	589	4	:	:	PUNCT
ejpam-6379	589	5	a	a	DET
ejpam-6379	589	6	general	general	ADJ
ejpam-6379	589	7	formula	formula	NOUN
ejpam-6379	589	8	for	for	ADP
ejpam-6379	589	9	nonlinear	nonlinear	ADJ
ejpam-6379	589	10	fractional	fractional	PROPN
ejpam-6379	589	11	klein	klein	PROPN
ejpam-6379	589	12	-	-	PUNCT
ejpam-6379	589	13	gordon	gordon	PROPN
ejpam-6379	589	14	equation	equation	NOUN
ejpam-6379	589	15	using	use	VERB
ejpam-6379	589	16	advanced	advanced	ADJ
ejpam-6379	589	17	computing	computing	NOUN
ejpam-6379	589	18	language	language	NOUN
ejpam-6379	589	19	.	.	PUNCT
ejpam-6379	590	1	american	american	PROPN
ejpam-6379	590	2	journal	journal	PROPN
ejpam-6379	590	3	of	of	ADP
ejpam-6379	590	4	computational	computational	ADJ
ejpam-6379	590	5	mathematics	mathematic	NOUN
ejpam-6379	590	6	,	,	PUNCT
ejpam-6379	590	7	5(2):127–134	5(2):127–134	NUM
ejpam-6379	590	8	,	,	PUNCT
ejpam-6379	590	9	2015	2015	NUM
ejpam-6379	590	10	.	.	PUNCT
ejpam-6379	591	1	[	[	X
ejpam-6379	591	2	26	26	NUM
ejpam-6379	591	3	]	]	PUNCT
ejpam-6379	591	4	mohamed	mohame	VERB
ejpam-6379	591	5	a	a	DET
ejpam-6379	591	6	abdoon	abdoon	NOUN
ejpam-6379	591	7	et	et	PROPN
ejpam-6379	591	8	al	al	PROPN
ejpam-6379	591	9	.	.	PROPN
ejpam-6379	592	1	programming	program	VERB
ejpam-6379	592	2	first	first	ADJ
ejpam-6379	592	3	integral	integral	ADJ
ejpam-6379	592	4	method	method	NOUN
ejpam-6379	592	5	general	general	ADJ
ejpam-6379	592	6	formula	formula	NOUN
ejpam-6379	592	7	for	for	ADP
ejpam-6379	592	8	the	the	DET
ejpam-6379	592	9	solving	solve	VERB
ejpam-6379	592	10	linear	linear	NOUN
ejpam-6379	592	11	and	and	CCONJ
ejpam-6379	592	12	nonlinear	nonlinear	ADJ
ejpam-6379	592	13	equations	equation	NOUN
ejpam-6379	592	14	.	.	PUNCT
ejpam-6379	593	1	applied	apply	VERB
ejpam-6379	593	2	mathematics	mathematic	NOUN
ejpam-6379	593	3	,	,	PUNCT
ejpam-6379	593	4	6(03):568	6(03):568	PROPN
ejpam-6379	593	5	,	,	PUNCT
ejpam-6379	593	6	2015	2015	NUM
ejpam-6379	593	7	.	.	PUNCT
ejpam-6379	594	1	[	[	X
ejpam-6379	594	2	27	27	NUM
ejpam-6379	594	3	]	]	X
ejpam-6379	594	4	mohammad	mohammad	PROPN
ejpam-6379	594	5	abu	abu	PROPN
ejpam-6379	594	6	-	-	PUNCT
ejpam-6379	594	7	ghuwaleh	ghuwaleh	PROPN
ejpam-6379	594	8	,	,	PUNCT
ejpam-6379	594	9	rania	rania	PROPN
ejpam-6379	594	10	saadeh	saadeh	PROPN
ejpam-6379	594	11	,	,	PUNCT
ejpam-6379	594	12	and	and	CCONJ
ejpam-6379	594	13	ahmad	ahmad	PROPN
ejpam-6379	594	14	qazza	qazza	PROPN
ejpam-6379	594	15	.	.	PUNCT
ejpam-6379	595	1	general	general	ADJ
ejpam-6379	595	2	master	master	NOUN
ejpam-6379	595	3	theorems	theorem	NOUN
ejpam-6379	595	4	of	of	ADP
ejpam-6379	595	5	integrals	integral	NOUN
ejpam-6379	595	6	with	with	ADP
ejpam-6379	595	7	applications	application	NOUN
ejpam-6379	595	8	.	.	PUNCT
ejpam-6379	596	1	mathematics	mathematic	NOUN
ejpam-6379	596	2	,	,	PUNCT
ejpam-6379	596	3	10(19):3547	10(19):3547	NUM
ejpam-6379	596	4	,	,	PUNCT
ejpam-6379	596	5	2022	2022	NUM
ejpam-6379	596	6	.	.	PUNCT
ejpam-6379	597	1	[	[	X
ejpam-6379	597	2	28	28	NUM
ejpam-6379	597	3	]	]	X
ejpam-6379	597	4	sayed	say	VERB
ejpam-6379	597	5	saber	saber	NOUN
ejpam-6379	597	6	and	and	CCONJ
ejpam-6379	597	7	abdullah	abdullah	PROPN
ejpam-6379	597	8	alahmari	alahmari	PROPN
ejpam-6379	597	9	.	.	PUNCT
ejpam-6379	598	1	impact	impact	NOUN
ejpam-6379	598	2	of	of	ADP
ejpam-6379	598	3	fractal	fractal	ADJ
ejpam-6379	598	4	-	-	PUNCT
ejpam-6379	598	5	fractional	fractional	ADJ
ejpam-6379	598	6	dynamics	dynamic	NOUN
ejpam-6379	598	7	on	on	ADP
ejpam-6379	598	8	pneumonia	pneumonia	NOUN
ejpam-6379	598	9	transmission	transmission	NOUN
ejpam-6379	598	10	modeling	modeling	NOUN
ejpam-6379	598	11	.	.	PUNCT
ejpam-6379	599	1	european	european	ADJ
ejpam-6379	599	2	journal	journal	PROPN
ejpam-6379	599	3	of	of	ADP
ejpam-6379	599	4	pure	pure	ADJ
ejpam-6379	599	5	and	and	CCONJ
ejpam-6379	599	6	applied	applied	ADJ
ejpam-6379	599	7	mathematics	mathematic	NOUN
ejpam-6379	599	8	,	,	PUNCT
ejpam-6379	599	9	18(2):5901–5901	18(2):5901–5901	NUM
ejpam-6379	599	10	,	,	PUNCT
ejpam-6379	599	11	2025	2025	NUM
ejpam-6379	599	12	.	.	PUNCT
ejpam-6379	600	1	[	[	X
ejpam-6379	600	2	29	29	NUM
ejpam-6379	600	3	]	]	PUNCT
ejpam-6379	600	4	sayed	say	VERB
ejpam-6379	600	5	saber	saber	NOUN
ejpam-6379	600	6	and	and	CCONJ
ejpam-6379	600	7	abdullah	abdullah	PROPN
ejpam-6379	600	8	alahmari	alahmari	PROPN
ejpam-6379	600	9	.	.	PUNCT
ejpam-6379	601	1	mathematical	mathematical	ADJ
ejpam-6379	601	2	insights	insight	NOUN
ejpam-6379	601	3	into	into	ADP
ejpam-6379	601	4	zoonotic	zoonotic	ADJ
ejpam-6379	601	5	disease	disease	NOUN
ejpam-6379	601	6	spread	spread	VERB
ejpam-6379	601	7	:	:	PUNCT
ejpam-6379	601	8	application	application	NOUN
ejpam-6379	601	9	of	of	ADP
ejpam-6379	601	10	the	the	DET
ejpam-6379	601	11	milstein	milstein	ADJ
ejpam-6379	601	12	method	method	NOUN
ejpam-6379	601	13	.	.	PUNCT
ejpam-6379	602	1	european	european	PROPN
ejpam-6379	602	2	journal	journal	PROPN
ejpam-6379	602	3	of	of	ADP
ejpam-6379	602	4	pure	pure	ADJ
ejpam-6379	602	5	and	and	CCONJ
ejpam-6379	602	6	applied	applied	ADJ
ejpam-6379	602	7	mathematics	mathematic	NOUN
ejpam-6379	602	8	,	,	PUNCT
ejpam-6379	602	9	18(2):5881–5881	18(2):5881–5881	NUM
ejpam-6379	602	10	,	,	PUNCT
ejpam-6379	602	11	2025	2025	NUM
ejpam-6379	602	12	.	.	PUNCT
ejpam-6379	603	1	[	[	X
ejpam-6379	603	2	30	30	NUM
ejpam-6379	603	3	]	]	X
ejpam-6379	603	4	mohammed	mohammed	PROPN
ejpam-6379	603	5	althubyani	althubyani	PROPN
ejpam-6379	603	6	,	,	PUNCT
ejpam-6379	603	7	haroon	haroon	PROPN
ejpam-6379	603	8	ds	ds	PROPN
ejpam-6379	603	9	adam	adam	PROPN
ejpam-6379	603	10	,	,	PUNCT
ejpam-6379	603	11	ahmad	ahmad	PROPN
ejpam-6379	603	12	alalyani	alalyani	PROPN
ejpam-6379	603	13	,	,	PUNCT
ejpam-6379	603	14	nidal	nidal	PROPN
ejpam-6379	603	15	e	e	PROPN
ejpam-6379	603	16	taha	taha	PROPN
ejpam-6379	603	17	,	,	PUNCT
ejpam-6379	603	18	khdija	khdija	NOUN
ejpam-6379	603	19	o	o	X
ejpam-6379	603	20	taha	taha	PROPN
ejpam-6379	603	21	,	,	PUNCT
ejpam-6379	603	22	rasmiyah	rasmiyah	VERB
ejpam-6379	603	23	a	a	DET
ejpam-6379	603	24	alharbi	alharbi	NOUN
ejpam-6379	603	25	,	,	PUNCT
ejpam-6379	603	26	and	and	CCONJ
ejpam-6379	603	27	sayed	say	VERB
ejpam-6379	603	28	saber	saber	PROPN
ejpam-6379	603	29	.	.	PUNCT
ejpam-6379	604	1	understanding	understand	VERB
ejpam-6379	604	2	zoonotic	zoonotic	ADJ
ejpam-6379	604	3	disease	disease	NOUN
ejpam-6379	604	4	spread	spread	VERB
ejpam-6379	604	5	with	with	ADP
ejpam-6379	604	6	a	a	DET
ejpam-6379	604	7	fractional	fractional	ADJ
ejpam-6379	604	8	order	order	NOUN
ejpam-6379	604	9	epidemic	epidemic	NOUN
ejpam-6379	604	10	model	model	NOUN
ejpam-6379	604	11	.	.	PUNCT
ejpam-6379	605	1	scientific	scientific	ADJ
ejpam-6379	605	2	reports	report	NOUN
ejpam-6379	605	3	,	,	PUNCT
ejpam-6379	605	4	15(1):13921	15(1):13921	NUM
ejpam-6379	605	5	,	,	PUNCT
ejpam-6379	605	6	2025	2025	NUM
ejpam-6379	605	7	.	.	PUNCT
ejpam-6379	606	1	[	[	X
ejpam-6379	606	2	31	31	NUM
ejpam-6379	606	3	]	]	PUNCT
ejpam-6379	606	4	sana	sana	PROPN
ejpam-6379	606	5	abdulkream	abdulkream	PROPN
ejpam-6379	606	6	alharbi	alharbi	PROPN
ejpam-6379	606	7	,	,	PUNCT
ejpam-6379	606	8	mohamed	mohamed	PROPN
ejpam-6379	606	9	a.	a.	PROPN
ejpam-6379	606	10	abdoon	abdoon	PROPN
ejpam-6379	606	11	,	,	PUNCT
ejpam-6379	606	12	rania	rania	PROPN
ejpam-6379	606	13	saadeh	saadeh	PROPN
ejpam-6379	606	14	,	,	PUNCT
ejpam-6379	606	15	reima	reima	VERB
ejpam-6379	606	16	daher	daher	ADJ
ejpam-6379	606	17	alsemiry	alsemiry	NOUN
ejpam-6379	606	18	,	,	PUNCT
ejpam-6379	606	19	reem	reem	PROPN
ejpam-6379	606	20	allogmany	allogmany	PROPN
ejpam-6379	606	21	,	,	PUNCT
ejpam-6379	606	22	mohammed	mohammed	PROPN
ejpam-6379	606	23	berir	berir	PROPN
ejpam-6379	606	24	,	,	PUNCT
ejpam-6379	606	25	and	and	CCONJ
ejpam-6379	606	26	fathelrhman	fathelrhman	PROPN
ejpam-6379	606	27	el	el	PROPN
ejpam-6379	606	28	guma	guma	PROPN
ejpam-6379	606	29	.	.	PUNCT
ejpam-6379	607	1	modeling	modeling	NOUN
ejpam-6379	607	2	and	and	CCONJ
ejpam-6379	607	3	analysis	analysis	NOUN
ejpam-6379	607	4	of	of	ADP
ejpam-6379	607	5	visceral	visceral	ADJ
ejpam-6379	607	6	leishmaniasis	leishmaniasis	NOUN
ejpam-6379	607	7	dynamics	dynamic	NOUN
ejpam-6379	607	8	using	use	VERB
ejpam-6379	607	9	fractional	fractional	ADJ
ejpam-6379	607	10	-	-	PUNCT
ejpam-6379	607	11	order	order	NOUN
ejpam-6379	607	12	operators	operator	NOUN
ejpam-6379	607	13	:	:	PUNCT
ejpam-6379	607	14	a	a	DET
ejpam-6379	607	15	comparative	comparative	ADJ
ejpam-6379	607	16	study	study	NOUN
ejpam-6379	607	17	.	.	PUNCT
ejpam-6379	608	1	mathematical	mathematical	ADJ
ejpam-6379	608	2	methods	method	NOUN
ejpam-6379	608	3	in	in	ADP
ejpam-6379	608	4	the	the	DET
ejpam-6379	608	5	applied	apply	VERB
ejpam-6379	608	6	sciences	science	NOUN
ejpam-6379	608	7	,	,	PUNCT
ejpam-6379	608	8	47(12):9918–9937	47(12):9918–9937	NUM
ejpam-6379	608	9	,	,	PUNCT
ejpam-6379	608	10	2024	2024	NUM
ejpam-6379	608	11	.	.	PUNCT
ejpam-6379	609	1	[	[	X
ejpam-6379	609	2	32	32	NUM
ejpam-6379	609	3	]	]	PUNCT
ejpam-6379	609	4	fathelrhman	fathelrhman	NOUN
ejpam-6379	609	5	el	el	PROPN
ejpam-6379	609	6	gumaa	gumaa	PROPN
ejpam-6379	609	7	,	,	PUNCT
ejpam-6379	609	8	mohamed	mohame	VERB
ejpam-6379	609	9	a	a	DET
ejpam-6379	609	10	abdoon	abdoon	NOUN
ejpam-6379	609	11	,	,	PUNCT
ejpam-6379	609	12	ahmad	ahmad	PROPN
ejpam-6379	609	13	qazza	qazza	PROPN
ejpam-6379	609	14	,	,	PUNCT
ejpam-6379	609	15	rania	rania	PROPN
ejpam-6379	609	16	saadeh	saadeh	PROPN
ejpam-6379	609	17	,	,	PUNCT
ejpam-6379	609	18	mohammed	mohammed	PROPN
ejpam-6379	609	19	ali	ali	PROPN
ejpam-6379	609	20	arishi	arishi	PROPN
ejpam-6379	609	21	,	,	PUNCT
ejpam-6379	609	22	and	and	CCONJ
ejpam-6379	609	23	abdoelnaser	abdoelnaser	PROPN
ejpam-6379	609	24	m	m	PROPN
ejpam-6379	609	25	degoot	degoot	PROPN
ejpam-6379	609	26	.	.	PUNCT
ejpam-6379	610	1	analyzing	analyze	VERB
ejpam-6379	610	2	the	the	DET
ejpam-6379	610	3	impact	impact	NOUN
ejpam-6379	610	4	of	of	ADP
ejpam-6379	610	5	control	control	NOUN
ejpam-6379	610	6	strategies	strategy	NOUN
ejpam-6379	610	7	on	on	ADP
ejpam-6379	610	8	visceralleishmaniasis	visceralleishmaniasis	NOUN
ejpam-6379	610	9	:	:	PUNCT
ejpam-6379	610	10	a	a	DET
ejpam-6379	610	11	mathematical	mathematical	ADJ
ejpam-6379	610	12	modeling	modeling	NOUN
ejpam-6379	610	13	perspective	perspective	NOUN
ejpam-6379	610	14	.	.	PUNCT
ejpam-6379	611	1	european	european	ADJ
ejpam-6379	611	2	journal	journal	PROPN
ejpam-6379	611	3	of	of	ADP
ejpam-6379	611	4	pure	pure	ADJ
ejpam-6379	611	5	and	and	CCONJ
ejpam-6379	611	6	applied	applied	ADJ
ejpam-6379	611	7	mathematics	mathematic	NOUN
ejpam-6379	611	8	,	,	PUNCT
ejpam-6379	611	9	17(2):1213–1227	17(2):1213–1227	NUM
ejpam-6379	611	10	,	,	PUNCT
ejpam-6379	611	11	2024	2024	NUM
ejpam-6379	611	12	.	.	PUNCT
ejpam-6379	612	1	[	[	X
ejpam-6379	612	2	33	33	NUM
ejpam-6379	612	3	]	]	X
ejpam-6379	612	4	rania	rania	PROPN
ejpam-6379	612	5	saadeh	saadeh	PROPN
ejpam-6379	612	6	,	,	PUNCT
ejpam-6379	612	7	mohamed	mohame	VERB
ejpam-6379	612	8	a	a	DET
ejpam-6379	612	9	abdoon	abdoon	NOUN
ejpam-6379	612	10	,	,	PUNCT
ejpam-6379	612	11	ahmad	ahmad	PROPN
ejpam-6379	612	12	qazza	qazza	PROPN
ejpam-6379	612	13	,	,	PUNCT
ejpam-6379	612	14	mohammed	mohammed	PROPN
ejpam-6379	612	15	berir	berir	PROPN
ejpam-6379	612	16	,	,	PUNCT
ejpam-6379	612	17	fathelrhman	fathelrhman	NOUN
ejpam-6379	612	18	el	el	PROPN
ejpam-6379	612	19	guma	guma	PROPN
ejpam-6379	612	20	,	,	PUNCT
ejpam-6379	612	21	naseam	naseam	PROPN
ejpam-6379	612	22	al	al	PROPN
ejpam-6379	612	23	-	-	PUNCT
ejpam-6379	612	24	kuleab	kuleab	PROPN
ejpam-6379	612	25	,	,	PUNCT
ejpam-6379	612	26	and	and	CCONJ
ejpam-6379	612	27	abdoelnaser	abdoelnaser	PROPN
ejpam-6379	612	28	m	m	PROPN
ejpam-6379	612	29	degoot	degoot	PROPN
ejpam-6379	612	30	.	.	PUNCT
ejpam-6379	613	1	mathematical	mathematical	ADJ
ejpam-6379	613	2	modeling	modeling	NOUN
ejpam-6379	613	3	and	and	CCONJ
ejpam-6379	613	4	stability	stability	NOUN
ejpam-6379	613	5	analysis	analysis	NOUN
ejpam-6379	613	6	of	of	ADP
ejpam-6379	613	7	the	the	DET
ejpam-6379	613	8	novel	novel	ADJ
ejpam-6379	613	9	fractional	fractional	ADJ
ejpam-6379	613	10	model	model	NOUN
ejpam-6379	613	11	in	in	ADP
ejpam-6379	613	12	the	the	DET
ejpam-6379	613	13	caputo	caputo	PROPN
ejpam-6379	613	14	derivative	derivative	ADJ
ejpam-6379	613	15	operator	operator	NOUN
ejpam-6379	613	16	:	:	PUNCT
ejpam-6379	613	17	a	a	DET
ejpam-6379	613	18	case	case	NOUN
ejpam-6379	613	19	study	study	NOUN
ejpam-6379	613	20	.	.	PUNCT
ejpam-6379	614	1	heliyon	heliyon	NOUN
ejpam-6379	614	2	,	,	PUNCT
ejpam-6379	614	3	10(5	10(5	NUM
ejpam-6379	614	4	)	)	PUNCT
ejpam-6379	614	5	,	,	PUNCT
ejpam-6379	614	6	2024	2024	NUM
ejpam-6379	614	7	.	.	PUNCT
ejpam-6379	615	1	[	[	X
ejpam-6379	615	2	34	34	NUM
ejpam-6379	615	3	]	]	SYM
ejpam-6379	615	4	fe	fe	X
ejpam-6379	615	5	guma	guma	PROPN
ejpam-6379	615	6	,	,	PUNCT
ejpam-6379	615	7	ossama	ossama	NOUN
ejpam-6379	615	8	m	m	PROPN
ejpam-6379	615	9	badawy	badawy	PROPN
ejpam-6379	615	10	,	,	PUNCT
ejpam-6379	615	11	ag	ag	PROPN
ejpam-6379	615	12	musa	musa	PROPN
ejpam-6379	615	13	,	,	PUNCT
ejpam-6379	615	14	badawi	badawi	PROPN
ejpam-6379	615	15	osman	osman	PROPN
ejpam-6379	615	16	mohammed	mohammed	PROPN
ejpam-6379	615	17	,	,	PUNCT
ejpam-6379	615	18	mohamed	mohame	VERB
ejpam-6379	615	19	a	a	DET
ejpam-6379	615	20	abdoon	abdoon	NOUN
ejpam-6379	615	21	,	,	PUNCT
ejpam-6379	615	22	mohammed	mohammed	PROPN
ejpam-6379	615	23	berir	berir	PROPN
ejpam-6379	615	24	,	,	PUNCT
ejpam-6379	615	25	and	and	CCONJ
ejpam-6379	615	26	salih	salih	PROPN
ejpam-6379	615	27	yousuf	yousuf	PROPN
ejpam-6379	615	28	mohamed	mohamed	PROPN
ejpam-6379	615	29	salih	salih	PROPN
ejpam-6379	615	30	.	.	PUNCT
ejpam-6379	616	1	risk	risk	NOUN
ejpam-6379	616	2	factors	factor	NOUN
ejpam-6379	616	3	for	for	ADP
ejpam-6379	616	4	death	death	NOUN
ejpam-6379	616	5	among	among	ADP
ejpam-6379	616	6	covid-19	covid-19	PROPN
ejpam-6379	616	7	patients	patient	NOUN
ejpam-6379	616	8	admitted	admit	VERB
ejpam-6379	616	9	to	to	ADP
ejpam-6379	616	10	isolation	isolation	NOUN
ejpam-6379	616	11	units	unit	NOUN
ejpam-6379	616	12	in	in	ADP
ejpam-6379	616	13	gedaref	gedaref	NOUN
ejpam-6379	616	14	state	state	NOUN
ejpam-6379	616	15	,	,	PUNCT
ejpam-6379	616	16	eastern	eastern	PROPN
ejpam-6379	616	17	sudan	sudan	PROPN
ejpam-6379	616	18	:	:	PUNCT
ejpam-6379	616	19	a	a	DET
ejpam-6379	616	20	retrospective	retrospective	ADJ
ejpam-6379	616	21	cohort	cohort	NOUN
ejpam-6379	616	22	study	study	NOUN
ejpam-6379	616	23	.	.	PUNCT
ejpam-6379	617	1	journal	journal	PROPN
ejpam-6379	617	2	of	of	ADP
ejpam-6379	617	3	survey	survey	NOUN
ejpam-6379	617	4	in	in	ADP
ejpam-6379	617	5	fisheries	fishery	NOUN
ejpam-6379	617	6	sciences	science	NOUN
ejpam-6379	617	7	,	,	PUNCT
ejpam-6379	617	8	10(3s):712–722	10(3s):712–722	NUM
ejpam-6379	617	9	,	,	PUNCT
ejpam-6379	617	10	2023	2023	NUM
ejpam-6379	617	11	.	.	PUNCT
ejpam-6379	618	1	[	[	X
ejpam-6379	618	2	35	35	NUM
ejpam-6379	618	3	]	]	PUNCT
ejpam-6379	618	4	salem	salem	PROPN
ejpam-6379	618	5	mubarak	mubarak	PROPN
ejpam-6379	618	6	alzahrani	alzahrani	PROPN
ejpam-6379	618	7	and	and	CCONJ
ejpam-6379	618	8	fe	fe	X
ejpam-6379	618	9	guma	guma	PROPN
ejpam-6379	618	10	.	.	PUNCT
ejpam-6379	619	1	improving	improve	VERB
ejpam-6379	619	2	seasonal	seasonal	ADJ
ejpam-6379	619	3	influenza	influenza	NOUN
ejpam-6379	619	4	forecasting	forecasting	NOUN
ejpam-6379	619	5	using	use	VERB
ejpam-6379	619	6	time	time	NOUN
ejpam-6379	619	7	series	series	PROPN
ejpam-6379	619	8	machine	machine	NOUN
ejpam-6379	619	9	learning	learn	VERB
ejpam-6379	619	10	techniques	technique	NOUN
ejpam-6379	619	11	.	.	PUNCT
ejpam-6379	620	1	journal	journal	PROPN
ejpam-6379	620	2	of	of	ADP
ejpam-6379	620	3	information	information	NOUN
ejpam-6379	620	4	systems	system	NOUN
ejpam-6379	620	5	engineering	engineering	NOUN
ejpam-6379	620	6	and	and	CCONJ
ejpam-6379	620	7	management	management	NOUN
ejpam-6379	620	8	,	,	PUNCT
ejpam-6379	620	9	9(4):30195	9(4):30195	NOUN
ejpam-6379	620	10	,	,	PUNCT
ejpam-6379	620	11	2024	2024	NUM
ejpam-6379	620	12	.	.	PUNCT
ejpam-6379	621	1	[	[	X
ejpam-6379	621	2	36	36	NUM
ejpam-6379	621	3	]	]	X
ejpam-6379	621	4	mawada	mawada	PROPN
ejpam-6379	621	5	ali	ali	PROPN
ejpam-6379	621	6	,	,	PUNCT
ejpam-6379	621	7	fathelrhman	fathelrhman	PROPN
ejpam-6379	621	8	el	el	PROPN
ejpam-6379	621	9	guma	guma	PROPN
ejpam-6379	621	10	,	,	PUNCT
ejpam-6379	621	11	ahmad	ahmad	PROPN
ejpam-6379	621	12	qazza	qazza	PROPN
ejpam-6379	621	13	,	,	PUNCT
ejpam-6379	621	14	rania	rania	PROPN
ejpam-6379	621	15	saadeh	saadeh	PROPN
ejpam-6379	621	16	,	,	PUNCT
ejpam-6379	621	17	nahaa	nahaa	PROPN
ejpam-6379	621	18	e	e	PROPN
ejpam-6379	621	19	alsubaie	alsubaie	PROPN
ejpam-6379	621	20	,	,	PUNCT
ejpam-6379	621	21	mohammed	mohammed	PROPN
ejpam-6379	621	22	althubyani	althubyani	PROPN
ejpam-6379	621	23	,	,	PUNCT
ejpam-6379	621	24	and	and	CCONJ
ejpam-6379	621	25	mohamed	mohame	VERB
ejpam-6379	621	26	a	a	DET
ejpam-6379	621	27	abdoon	abdoon	NOUN
ejpam-6379	621	28	.	.	PUNCT
ejpam-6379	622	1	stochastic	stochastic	ADJ
ejpam-6379	622	2	modeling	modeling	NOUN
ejpam-6379	622	3	of	of	ADP
ejpam-6379	622	4	influenza	influenza	ADJ
ejpam-6379	622	5	transmission	transmission	NOUN
ejpam-6379	622	6	:	:	PUNCT
ejpam-6379	622	7	insights	insight	NOUN
ejpam-6379	622	8	into	into	ADP
ejpam-6379	622	9	disease	disease	NOUN
ejpam-6379	622	10	dynamics	dynamic	NOUN
ejpam-6379	622	11	and	and	CCONJ
ejpam-6379	622	12	epidemic	epidemic	NOUN
ejpam-6379	622	13	management	management	NOUN
ejpam-6379	622	14	.	.	PUNCT
ejpam-6379	623	1	partial	partial	ADJ
ejpam-6379	623	2	differential	differential	ADJ
ejpam-6379	623	3	equations	equation	NOUN
ejpam-6379	623	4	in	in	ADP
ejpam-6379	623	5	applied	applied	ADJ
ejpam-6379	623	6	mathematics	mathematic	NOUN
ejpam-6379	623	7	,	,	PUNCT
ejpam-6379	623	8	11:100886	11:100886	NUM
ejpam-6379	623	9	,	,	PUNCT
ejpam-6379	623	10	2024	2024	NUM
ejpam-6379	623	11	.	.	PUNCT
ejpam-6379	624	1	r.	r.	PROPN
ejpam-6379	624	2	saadeh	saadeh	PROPN
ejpam-6379	624	3	et	et	PROPN
ejpam-6379	624	4	al	al	PROPN
ejpam-6379	624	5	.	.	PUNCT
ejpam-6379	624	6	/	/	SYM
ejpam-6379	624	7	eur	eur	PROPN
ejpam-6379	624	8	.	.	PUNCT
ejpam-6379	625	1	j.	j.	PROPN
ejpam-6379	625	2	pure	pure	PROPN
ejpam-6379	625	3	appl	appl	PROPN
ejpam-6379	625	4	.	.	PROPN
ejpam-6379	625	5	math	math	PROPN
ejpam-6379	625	6	,	,	PUNCT
ejpam-6379	625	7	18	18	NUM
ejpam-6379	625	8	(	(	PUNCT
ejpam-6379	625	9	3	3	NUM
ejpam-6379	625	10	)	)	PUNCT
ejpam-6379	625	11	(	(	PUNCT
ejpam-6379	625	12	2025	2025	NUM
ejpam-6379	625	13	)	)	PUNCT
ejpam-6379	625	14	,	,	PUNCT
ejpam-6379	625	15	6379	6379	NUM
ejpam-6379	625	16	33	33	NUM
ejpam-6379	625	17	of	of	ADP
ejpam-6379	625	18	34	34	NUM
ejpam-6379	626	1	[	[	X
ejpam-6379	626	2	37	37	NUM
ejpam-6379	626	3	]	]	PUNCT
ejpam-6379	626	4	sana	sana	PROPN
ejpam-6379	626	5	abdulkream	abdulkream	PROPN
ejpam-6379	626	6	alharbi	alharbi	PROPN
ejpam-6379	626	7	,	,	PUNCT
ejpam-6379	626	8	mohamed	mohame	VERB
ejpam-6379	626	9	a	a	DET
ejpam-6379	626	10	abdoon	abdoon	NOUN
ejpam-6379	626	11	,	,	PUNCT
ejpam-6379	626	12	abdoelnaser	abdoelnaser	PROPN
ejpam-6379	626	13	m	m	PROPN
ejpam-6379	626	14	degoot	degoot	PROPN
ejpam-6379	626	15	,	,	PUNCT
ejpam-6379	626	16	reima	reima	VERB
ejpam-6379	626	17	daher	daher	ADJ
ejpam-6379	626	18	alsemiry	alsemiry	NOUN
ejpam-6379	626	19	,	,	PUNCT
ejpam-6379	626	20	reem	reem	PROPN
ejpam-6379	626	21	allogmany	allogmany	PROPN
ejpam-6379	626	22	,	,	PUNCT
ejpam-6379	626	23	fathelrhman	fathelrhman	PROPN
ejpam-6379	626	24	el	el	PROPN
ejpam-6379	626	25	guma	guma	PROPN
ejpam-6379	626	26	,	,	PUNCT
ejpam-6379	626	27	and	and	CCONJ
ejpam-6379	626	28	mohammed	mohammed	PROPN
ejpam-6379	626	29	berir	berir	PROPN
ejpam-6379	626	30	.	.	PUNCT
ejpam-6379	627	1	mathematical	mathematical	ADJ
ejpam-6379	627	2	modeling	modeling	NOUN
ejpam-6379	627	3	of	of	ADP
ejpam-6379	627	4	influenza	influenza	NOUN
ejpam-6379	627	5	dynamics	dynamic	NOUN
ejpam-6379	627	6	:	:	PUNCT
ejpam-6379	627	7	a	a	DET
ejpam-6379	627	8	novel	novel	ADJ
ejpam-6379	627	9	approach	approach	NOUN
ejpam-6379	627	10	with	with	ADP
ejpam-6379	627	11	sveihr	sveihr	NOUN
ejpam-6379	627	12	and	and	CCONJ
ejpam-6379	627	13	fractional	fractional	ADJ
ejpam-6379	627	14	calculus	calculus	NOUN
ejpam-6379	627	15	.	.	PUNCT
ejpam-6379	628	1	international	international	ADJ
ejpam-6379	628	2	journal	journal	PROPN
ejpam-6379	628	3	of	of	ADP
ejpam-6379	628	4	biomathematics	biomathematic	NOUN
ejpam-6379	628	5	,	,	PUNCT
ejpam-6379	628	6	page	page	NOUN
ejpam-6379	628	7	2450147	2450147	NUM
ejpam-6379	628	8	,	,	PUNCT
ejpam-6379	628	9	2025	2025	NUM
ejpam-6379	628	10	.	.	PUNCT
ejpam-6379	629	1	[	[	X
ejpam-6379	629	2	38	38	NUM
ejpam-6379	629	3	]	]	X
ejpam-6379	629	4	yung	yung	PROPN
ejpam-6379	629	5	-	-	PUNCT
ejpam-6379	629	6	gyung	gyung	PROPN
ejpam-6379	629	7	kang	kang	PROPN
ejpam-6379	629	8	and	and	CCONJ
ejpam-6379	629	9	jeong	jeong	PROPN
ejpam-6379	629	10	-	-	PUNCT
ejpam-6379	629	11	man	man	PROPN
ejpam-6379	629	12	park	park	NOUN
ejpam-6379	629	13	.	.	PUNCT
ejpam-6379	630	1	a	a	DET
ejpam-6379	630	2	stochastic	stochastic	ADJ
ejpam-6379	630	3	susceptible	susceptible	ADJ
ejpam-6379	630	4	-	-	PUNCT
ejpam-6379	630	5	infected	infect	VERB
ejpam-6379	630	6	-	-	PUNCT
ejpam-6379	630	7	susceptible	susceptible	ADJ
ejpam-6379	630	8	epidemic	epidemic	NOUN
ejpam-6379	630	9	model	model	NOUN
ejpam-6379	630	10	with	with	ADP
ejpam-6379	630	11	stratonovich	stratonovich	NOUN
ejpam-6379	630	12	processes	process	NOUN
ejpam-6379	630	13	.	.	PUNCT
ejpam-6379	631	1	journal	journal	NOUN
ejpam-6379	631	2	of	of	ADP
ejpam-6379	631	3	the	the	DET
ejpam-6379	631	4	korean	korean	ADJ
ejpam-6379	631	5	physical	physical	ADJ
ejpam-6379	631	6	society	society	NOUN
ejpam-6379	631	7	,	,	PUNCT
ejpam-6379	631	8	84(2):158–163	84(2):158–163	NUM
ejpam-6379	631	9	,	,	PUNCT
ejpam-6379	631	10	2024	2024	NUM
ejpam-6379	631	11	.	.	PUNCT
ejpam-6379	632	1	[	[	X
ejpam-6379	632	2	39	39	NUM
ejpam-6379	632	3	]	]	PUNCT
ejpam-6379	632	4	xuerong	xuerong	PROPN
ejpam-6379	632	5	mao	mao	PROPN
ejpam-6379	632	6	,	,	PUNCT
ejpam-6379	632	7	glenn	glenn	PROPN
ejpam-6379	632	8	marion	marion	PROPN
ejpam-6379	632	9	,	,	PUNCT
ejpam-6379	632	10	and	and	CCONJ
ejpam-6379	632	11	eric	eric	PROPN
ejpam-6379	632	12	renshaw	renshaw	PROPN
ejpam-6379	632	13	.	.	PUNCT
ejpam-6379	633	1	environmental	environmental	ADJ
ejpam-6379	633	2	brownian	brownian	PROPN
ejpam-6379	633	3	noise	noise	NOUN
ejpam-6379	633	4	suppresses	suppress	VERB
ejpam-6379	633	5	explosions	explosion	NOUN
ejpam-6379	633	6	in	in	ADP
ejpam-6379	633	7	population	population	NOUN
ejpam-6379	633	8	dynamics	dynamic	NOUN
ejpam-6379	633	9	.	.	PUNCT
ejpam-6379	634	1	stochastic	stochastic	ADJ
ejpam-6379	634	2	processes	process	NOUN
ejpam-6379	634	3	and	and	CCONJ
ejpam-6379	634	4	their	their	PRON
ejpam-6379	634	5	applications	application	NOUN
ejpam-6379	634	6	,	,	PUNCT
ejpam-6379	634	7	97(1):95–110	97(1):95–110	NUM
ejpam-6379	634	8	,	,	PUNCT
ejpam-6379	634	9	2002	2002	NUM
ejpam-6379	634	10	.	.	PUNCT
ejpam-6379	635	1	[	[	X
ejpam-6379	635	2	40	40	NUM
ejpam-6379	635	3	]	]	PUNCT
ejpam-6379	636	1	michael	michael	PROPN
ejpam-6379	636	2	j	j	PROPN
ejpam-6379	636	3	panik	panik	PROPN
ejpam-6379	636	4	.	.	PUNCT
ejpam-6379	637	1	stochastic	stochastic	ADJ
ejpam-6379	637	2	differential	differential	ADJ
ejpam-6379	637	3	equations	equation	NOUN
ejpam-6379	637	4	:	:	PUNCT
ejpam-6379	637	5	an	an	DET
ejpam-6379	637	6	introduction	introduction	NOUN
ejpam-6379	637	7	with	with	ADP
ejpam-6379	637	8	applications	application	NOUN
ejpam-6379	637	9	in	in	ADP
ejpam-6379	637	10	population	population	NOUN
ejpam-6379	637	11	dynamics	dynamic	NOUN
ejpam-6379	637	12	modeling	modeling	NOUN
ejpam-6379	637	13	.	.	PUNCT
ejpam-6379	638	1	john	john	PROPN
ejpam-6379	638	2	wiley	wiley	PROPN
ejpam-6379	638	3	&	&	CCONJ
ejpam-6379	638	4	sons	son	NOUN
ejpam-6379	638	5	,	,	PUNCT
ejpam-6379	638	6	2017	2017	NUM
ejpam-6379	638	7	.	.	PUNCT
ejpam-6379	639	1	[	[	X
ejpam-6379	639	2	41	41	NUM
ejpam-6379	639	3	]	]	PUNCT
ejpam-6379	639	4	aadil	aadil	NOUN
ejpam-6379	639	5	lahrouz	lahrouz	ADJ
ejpam-6379	639	6	and	and	CCONJ
ejpam-6379	639	7	lahcen	lahcen	PROPN
ejpam-6379	639	8	omari	omari	PROPN
ejpam-6379	639	9	.	.	PUNCT
ejpam-6379	640	1	extinction	extinction	NOUN
ejpam-6379	640	2	and	and	CCONJ
ejpam-6379	640	3	stationary	stationary	ADJ
ejpam-6379	640	4	distribution	distribution	NOUN
ejpam-6379	640	5	of	of	ADP
ejpam-6379	640	6	a	a	DET
ejpam-6379	640	7	stochastic	stochastic	ADJ
ejpam-6379	640	8	sirs	sir	NOUN
ejpam-6379	640	9	epidemic	epidemic	NOUN
ejpam-6379	640	10	model	model	NOUN
ejpam-6379	640	11	with	with	ADP
ejpam-6379	640	12	non	non	ADJ
ejpam-6379	640	13	-	-	ADJ
ejpam-6379	640	14	linear	linear	ADJ
ejpam-6379	640	15	incidence	incidence	NOUN
ejpam-6379	640	16	.	.	PUNCT
ejpam-6379	641	1	statistics	statistic	NOUN
ejpam-6379	641	2	&	&	CCONJ
ejpam-6379	641	3	probability	probability	NOUN
ejpam-6379	641	4	letters	letter	NOUN
ejpam-6379	641	5	,	,	PUNCT
ejpam-6379	641	6	83(4):960–968	83(4):960–968	PROPN
ejpam-6379	641	7	,	,	PUNCT
ejpam-6379	641	8	2013	2013	NUM
ejpam-6379	641	9	.	.	PUNCT
ejpam-6379	642	1	[	[	X
ejpam-6379	642	2	42	42	NUM
ejpam-6379	642	3	]	]	X
ejpam-6379	642	4	programme	programme	NOUN
ejpam-6379	642	5	/	/	SYM
ejpam-6379	642	6	surveillance	surveillance	NOUN
ejpam-6379	642	7	-	-	PUNCT
ejpam-6379	642	8	and	and	CCONJ
ejpam-6379	642	9	monitoring	monitoring	NOUN
ejpam-6379	642	10	/	/	SYM
ejpam-6379	642	11	fluid	fluid	NOUN
ejpam-6379	642	12	.	.	PUNCT
ejpam-6379	643	1	https://www.who.int/teams/global	https://www.who.int/teams/global	PROPN
ejpam-6379	643	2	influenza-560	influenza-560	NOUN
ejpam-6379	643	3	,	,	PUNCT
ejpam-6379	643	4	volume	volume	NOUN
ejpam-6379	643	5	available	available	ADJ
ejpam-6379	643	6	.	.	PUNCT
ejpam-6379	644	1	cited	cite	VERB
ejpam-6379	644	2	28	28	NUM
ejpam-6379	644	3	jul	jul	PROPN
ejpam-6379	644	4	2022	2022	NUM
ejpam-6379	644	5	,	,	PUNCT
ejpam-6379	644	6	2022	2022	NUM
ejpam-6379	644	7	.	.	PUNCT
ejpam-6379	645	1	[	[	X
ejpam-6379	645	2	43	43	NUM
ejpam-6379	645	3	]	]	X
ejpam-6379	645	4	gongzheng	gongzheng	PROPN
ejpam-6379	645	5	yao	yao	PROPN
ejpam-6379	645	6	,	,	PUNCT
ejpam-6379	645	7	di	di	PROPN
ejpam-6379	645	8	zhang	zhang	PROPN
ejpam-6379	645	9	,	,	PUNCT
ejpam-6379	645	10	and	and	CCONJ
ejpam-6379	645	11	yingbo	yingbo	PROPN
ejpam-6379	645	12	liu	liu	PROPN
ejpam-6379	645	13	.	.	PUNCT
ejpam-6379	646	1	a	a	DET
ejpam-6379	646	2	bayesian	bayesian	ADJ
ejpam-6379	646	3	non	non	ADJ
ejpam-6379	646	4	-	-	ADJ
ejpam-6379	646	5	parametric	parametric	ADJ
ejpam-6379	646	6	approach	approach	NOUN
ejpam-6379	646	7	for	for	ADP
ejpam-6379	646	8	estimating	estimate	VERB
ejpam-6379	646	9	covid-19	covid-19	PROPN
ejpam-6379	646	10	’s	’s	PART
ejpam-6379	646	11	vaccine	vaccine	NOUN
ejpam-6379	646	12	effectiveness	effectiveness	NOUN
ejpam-6379	646	13	in	in	ADP
ejpam-6379	646	14	a	a	DET
ejpam-6379	646	15	stochastic	stochastic	ADJ
ejpam-6379	646	16	epidemic	epidemic	NOUN
ejpam-6379	646	17	model	model	NOUN
ejpam-6379	646	18	.	.	PUNCT
ejpam-6379	647	1	informatics	informatic	NOUN
ejpam-6379	647	2	in	in	ADP
ejpam-6379	647	3	medicine	medicine	NOUN
ejpam-6379	647	4	unlocked	unlock	VERB
ejpam-6379	647	5	,	,	PUNCT
ejpam-6379	647	6	42:101329	42:101329	PROPN
ejpam-6379	647	7	,	,	PUNCT
ejpam-6379	647	8	2023	2023	NUM
ejpam-6379	647	9	.	.	PUNCT
ejpam-6379	648	1	[	[	X
ejpam-6379	648	2	44	44	NUM
ejpam-6379	648	3	]	]	X
ejpam-6379	648	4	andrew	andrew	PROPN
ejpam-6379	648	5	gelman	gelman	PROPN
ejpam-6379	648	6	,	,	PUNCT
ejpam-6379	648	7	john	john	PROPN
ejpam-6379	648	8	b	b	PROPN
ejpam-6379	648	9	carlin	carlin	PROPN
ejpam-6379	648	10	,	,	PUNCT
ejpam-6379	648	11	hal	hal	PROPN
ejpam-6379	648	12	s	s	PART
ejpam-6379	648	13	stern	stern	NOUN
ejpam-6379	648	14	,	,	PUNCT
ejpam-6379	648	15	david	david	PROPN
ejpam-6379	648	16	b	b	PROPN
ejpam-6379	648	17	dunson	dunson	PROPN
ejpam-6379	648	18	,	,	PUNCT
ejpam-6379	648	19	aki	aki	PROPN
ejpam-6379	648	20	vehtari	vehtari	X
ejpam-6379	648	21	,	,	PUNCT
ejpam-6379	648	22	and	and	CCONJ
ejpam-6379	648	23	donald	donald	PROPN
ejpam-6379	648	24	b	b	PROPN
ejpam-6379	648	25	rubin	rubin	PROPN
ejpam-6379	648	26	.	.	PUNCT
ejpam-6379	649	1	bayesian	bayesian	NOUN
ejpam-6379	649	2	data	datum	NOUN
ejpam-6379	649	3	analysis	analysis	NOUN
ejpam-6379	649	4	.	.	PUNCT
ejpam-6379	650	1	crc	crc	PROPN
ejpam-6379	650	2	press	press	PROPN
ejpam-6379	650	3	,	,	PUNCT
ejpam-6379	650	4	2013	2013	NUM
ejpam-6379	650	5	.	.	PUNCT
ejpam-6379	651	1	[	[	X
ejpam-6379	651	2	45	45	NUM
ejpam-6379	651	3	]	]	X
ejpam-6379	651	4	christian	christian	PROPN
ejpam-6379	651	5	p	p	PROPN
ejpam-6379	651	6	robert	robert	PROPN
ejpam-6379	651	7	and	and	CCONJ
ejpam-6379	651	8	george	george	PROPN
ejpam-6379	651	9	casella	casella	PROPN
ejpam-6379	651	10	.	.	PUNCT
ejpam-6379	652	1	monte	monte	PROPN
ejpam-6379	652	2	carlo	carlo	PROPN
ejpam-6379	652	3	statistical	statistical	ADJ
ejpam-6379	652	4	methods	method	NOUN
ejpam-6379	652	5	.	.	PUNCT
ejpam-6379	653	1	springer	springer	NOUN
ejpam-6379	653	2	science	science	PROPN
ejpam-6379	653	3	&	&	CCONJ
ejpam-6379	653	4	business	business	NOUN
ejpam-6379	653	5	media	medium	NOUN
ejpam-6379	653	6	,	,	PUNCT
ejpam-6379	653	7	2004	2004	NUM
ejpam-6379	653	8	.	.	PUNCT
ejpam-6379	654	1	[	[	X
ejpam-6379	654	2	46	46	NUM
ejpam-6379	654	3	]	]	X
ejpam-6379	654	4	mawada	mawada	PROPN
ejpam-6379	654	5	ali	ali	PROPN
ejpam-6379	654	6	,	,	PUNCT
ejpam-6379	654	7	salem	salem	PROPN
ejpam-6379	654	8	mubarak	mubarak	PROPN
ejpam-6379	654	9	alzahrani	alzahrani	PROPN
ejpam-6379	654	10	,	,	PUNCT
ejpam-6379	654	11	rania	rania	PROPN
ejpam-6379	654	12	saadeh	saadeh	PROPN
ejpam-6379	654	13	,	,	PUNCT
ejpam-6379	654	14	mohamed	mohame	VERB
ejpam-6379	654	15	a	a	DET
ejpam-6379	654	16	abdoon	abdoon	NOUN
ejpam-6379	654	17	,	,	PUNCT
ejpam-6379	654	18	ahmad	ahmad	PROPN
ejpam-6379	654	19	qazza	qazza	PROPN
ejpam-6379	654	20	,	,	PUNCT
ejpam-6379	654	21	naseam	naseam	PROPN
ejpam-6379	654	22	al	al	PROPN
ejpam-6379	654	23	-	-	PUNCT
ejpam-6379	654	24	kuleab	kuleab	PROPN
ejpam-6379	654	25	,	,	PUNCT
ejpam-6379	654	26	and	and	CCONJ
ejpam-6379	654	27	fathelrhman	fathelrhman	PROPN
ejpam-6379	654	28	el	el	PROPN
ejpam-6379	654	29	guma	guma	PROPN
ejpam-6379	654	30	.	.	PUNCT
ejpam-6379	655	1	modeling	model	VERB
ejpam-6379	655	2	covid-19	covid-19	PROPN
ejpam-6379	655	3	spread	spread	VERB
ejpam-6379	655	4	and	and	CCONJ
ejpam-6379	655	5	non	non	ADJ
ejpam-6379	655	6	-	-	ADJ
ejpam-6379	655	7	pharmaceutical	pharmaceutical	ADJ
ejpam-6379	655	8	interventions	intervention	NOUN
ejpam-6379	655	9	in	in	ADP
ejpam-6379	655	10	south	south	PROPN
ejpam-6379	655	11	africa	africa	PROPN
ejpam-6379	655	12	:	:	PUNCT
ejpam-6379	655	13	a	a	DET
ejpam-6379	655	14	stochastic	stochastic	ADJ
ejpam-6379	655	15	approach	approach	NOUN
ejpam-6379	655	16	.	.	PUNCT
ejpam-6379	656	1	scientific	scientific	ADJ
ejpam-6379	656	2	african	african	PROPN
ejpam-6379	656	3	,	,	PUNCT
ejpam-6379	656	4	24	24	NUM
ejpam-6379	656	5	:	:	PUNCT
ejpam-6379	656	6	e02155	e02155	NOUN
ejpam-6379	656	7	,	,	PUNCT
ejpam-6379	656	8	2024	2024	NUM
ejpam-6379	656	9	.	.	PUNCT
ejpam-6379	657	1	[	[	X
ejpam-6379	657	2	47	47	NUM
ejpam-6379	657	3	]	]	X
ejpam-6379	657	4	nahaa	nahaa	PROPN
ejpam-6379	657	5	e.	e.	PROPN
ejpam-6379	657	6	alsubaie	alsubaie	PROPN
ejpam-6379	657	7	,	,	PUNCT
ejpam-6379	657	8	fathelrhman	fathelrhman	PROPN
ejpam-6379	657	9	el	el	PROPN
ejpam-6379	657	10	guma	guma	PROPN
ejpam-6379	657	11	,	,	PUNCT
ejpam-6379	657	12	kaouther	kaouther	PROPN
ejpam-6379	657	13	boulehmi	boulehmi	PROPN
ejpam-6379	657	14	,	,	PUNCT
ejpam-6379	657	15	naseam	naseam	PROPN
ejpam-6379	657	16	al	al	PROPN
ejpam-6379	657	17	-	-	PUNCT
ejpam-6379	657	18	kuleab	kuleab	PROPN
ejpam-6379	657	19	,	,	PUNCT
ejpam-6379	657	20	and	and	CCONJ
ejpam-6379	657	21	mohamed	mohamed	PROPN
ejpam-6379	657	22	a.	a.	PROPN
ejpam-6379	657	23	abdoon	abdoon	PROPN
ejpam-6379	657	24	.	.	PUNCT
ejpam-6379	658	1	improving	improve	VERB
ejpam-6379	658	2	influenza	influenza	ADJ
ejpam-6379	658	3	epidemiological	epidemiological	ADJ
ejpam-6379	658	4	models	model	NOUN
ejpam-6379	658	5	under	under	ADP
ejpam-6379	658	6	caputo	caputo	PROPN
ejpam-6379	658	7	fractional	fractional	ADJ
ejpam-6379	658	8	-	-	PUNCT
ejpam-6379	658	9	order	order	NOUN
ejpam-6379	658	10	calculus	calculus	NOUN
ejpam-6379	658	11	.	.	PUNCT
ejpam-6379	658	12	symmetry	symmetry	NOUN
ejpam-6379	658	13	,	,	PUNCT
ejpam-6379	658	14	16(7):929	16(7):929	NOUN
ejpam-6379	658	15	,	,	PUNCT
ejpam-6379	658	16	2024	2024	NUM
ejpam-6379	658	17	.	.	PUNCT
ejpam-6379	659	1	[	[	X
ejpam-6379	659	2	48	48	NUM
ejpam-6379	659	3	]	]	PUNCT
ejpam-6379	659	4	fathelrhman	fathelrhman	NOUN
ejpam-6379	659	5	el	el	PROPN
ejpam-6379	659	6	guma	guma	PROPN
ejpam-6379	659	7	,	,	PUNCT
ejpam-6379	659	8	abdelaziz	abdelaziz	PROPN
ejpam-6379	659	9	gm	gm	PROPN
ejpam-6379	659	10	musa	musa	PROPN
ejpam-6379	659	11	,	,	PUNCT
ejpam-6379	659	12	fatimah	fatimah	PROPN
ejpam-6379	659	13	dhafer	dhafer	PROPN
ejpam-6379	659	14	alkhathami	alkhathami	PROPN
ejpam-6379	659	15	,	,	PUNCT
ejpam-6379	659	16	rania	rania	PROPN
ejpam-6379	659	17	saadehm	saadehm	PROPN
ejpam-6379	659	18	,	,	PUNCT
ejpam-6379	659	19	and	and	CCONJ
ejpam-6379	659	20	ahmad	ahmad	PROPN
ejpam-6379	659	21	qazza	qazza	PROPN
ejpam-6379	659	22	.	.	PUNCT
ejpam-6379	660	1	prediction	prediction	NOUN
ejpam-6379	660	2	of	of	ADP
ejpam-6379	660	3	visceral	visceral	ADJ
ejpam-6379	660	4	leishmaniasis	leishmaniasis	NOUN
ejpam-6379	660	5	incidences	incidence	NOUN
ejpam-6379	660	6	utilizing	utilize	VERB
ejpam-6379	660	7	machine	machine	NOUN
ejpam-6379	660	8	learning	learn	VERB
ejpam-6379	660	9	techniques	technique	NOUN
ejpam-6379	660	10	.	.	PUNCT
ejpam-6379	661	1	in	in	ADP
ejpam-6379	661	2	2023	2023	NUM
ejpam-6379	661	3	2nd	2nd	ADJ
ejpam-6379	661	4	international	international	ADJ
ejpam-6379	661	5	engineering	engineering	NOUN
ejpam-6379	661	6	conference	conference	NOUN
ejpam-6379	661	7	on	on	ADP
ejpam-6379	661	8	electrical	electrical	ADJ
ejpam-6379	661	9	,	,	PUNCT
ejpam-6379	661	10	energy	energy	NOUN
ejpam-6379	661	11	,	,	PUNCT
ejpam-6379	661	12	and	and	CCONJ
ejpam-6379	661	13	artificial	artificial	ADJ
ejpam-6379	661	14	intelligence	intelligence	NOUN
ejpam-6379	661	15	(	(	PUNCT
ejpam-6379	661	16	eiceeai	eiceeai	PROPN
ejpam-6379	661	17	)	)	PUNCT
ejpam-6379	661	18	,	,	PUNCT
ejpam-6379	661	19	pages	page	NOUN
ejpam-6379	661	20	1–6	1–6	NUM
ejpam-6379	661	21	.	.	PUNCT
ejpam-6379	661	22	ieee	ieee	NOUN
ejpam-6379	661	23	,	,	PUNCT
ejpam-6379	661	24	2023	2023	NUM
ejpam-6379	661	25	.	.	PUNCT
ejpam-6379	662	1	[	[	X
ejpam-6379	662	2	49	49	NUM
ejpam-6379	662	3	]	]	PUNCT
ejpam-6379	662	4	mohamed	mohame	VERB
ejpam-6379	662	5	a	a	DET
ejpam-6379	662	6	abdoon	abdoon	NOUN
ejpam-6379	662	7	.	.	PUNCT
ejpam-6379	663	1	fractional	fractional	ADJ
ejpam-6379	663	2	derivative	derivative	ADJ
ejpam-6379	663	3	approach	approach	NOUN
ejpam-6379	663	4	for	for	ADP
ejpam-6379	663	5	modeling	model	VERB
ejpam-6379	663	6	chaotic	chaotic	ADJ
ejpam-6379	663	7	dynamics	dynamic	NOUN
ejpam-6379	663	8	:	:	PUNCT
ejpam-6379	663	9	applications	application	NOUN
ejpam-6379	663	10	in	in	ADP
ejpam-6379	663	11	communication	communication	NOUN
ejpam-6379	663	12	and	and	CCONJ
ejpam-6379	663	13	engineering	engineering	NOUN
ejpam-6379	663	14	systems	system	NOUN
ejpam-6379	663	15	.	.	PUNCT
ejpam-6379	664	1	in	in	ADP
ejpam-6379	664	2	international	international	ADJ
ejpam-6379	664	3	conference	conference	NOUN
ejpam-6379	664	4	on	on	ADP
ejpam-6379	664	5	mathematical	mathematical	ADJ
ejpam-6379	664	6	modelling	modelling	NOUN
ejpam-6379	664	7	,	,	PUNCT
ejpam-6379	664	8	applied	apply	VERB
ejpam-6379	664	9	analysis	analysis	NOUN
ejpam-6379	664	10	and	and	CCONJ
ejpam-6379	664	11	computation	computation	NOUN
ejpam-6379	664	12	,	,	PUNCT
ejpam-6379	664	13	pages	page	NOUN
ejpam-6379	664	14	82–95	82–95	NUM
ejpam-6379	664	15	.	.	PUNCT
ejpam-6379	665	1	springer	springer	NOUN
ejpam-6379	665	2	,	,	PUNCT
ejpam-6379	665	3	2025	2025	NUM
ejpam-6379	665	4	.	.	PUNCT
ejpam-6379	666	1	[	[	X
ejpam-6379	666	2	50	50	NUM
ejpam-6379	666	3	]	]	PUNCT
ejpam-6379	666	4	faeza	faeza	PROPN
ejpam-6379	666	5	hasan	hasan	PROPN
ejpam-6379	666	6	,	,	PUNCT
ejpam-6379	666	7	mohamed	mohame	VERB
ejpam-6379	666	8	a	a	DET
ejpam-6379	666	9	abdoon	abdoon	NOUN
ejpam-6379	666	10	,	,	PUNCT
ejpam-6379	666	11	rania	rania	PROPN
ejpam-6379	666	12	saadeh	saadeh	PROPN
ejpam-6379	666	13	,	,	PUNCT
ejpam-6379	666	14	mohammed	mohammed	PROPN
ejpam-6379	666	15	berir	berir	PROPN
ejpam-6379	666	16	,	,	PUNCT
ejpam-6379	666	17	and	and	CCONJ
ejpam-6379	666	18	ahmad	ahmad	PROPN
ejpam-6379	666	19	qazza	qazza	PROPN
ejpam-6379	666	20	.	.	PUNCT
ejpam-6379	667	1	a	a	DET
ejpam-6379	667	2	new	new	ADJ
ejpam-6379	667	3	perspective	perspective	NOUN
ejpam-6379	667	4	on	on	ADP
ejpam-6379	667	5	the	the	DET
ejpam-6379	667	6	stochastic	stochastic	ADJ
ejpam-6379	667	7	fractional	fractional	ADJ
ejpam-6379	667	8	order	order	NOUN
ejpam-6379	667	9	materialized	materialize	VERB
ejpam-6379	667	10	by	by	ADP
ejpam-6379	667	11	the	the	DET
ejpam-6379	667	12	exact	exact	ADJ
ejpam-6379	667	13	solutions	solution	NOUN
ejpam-6379	667	14	of	of	ADP
ejpam-6379	667	15	allen	allen	ADJ
ejpam-6379	667	16	-	-	PUNCT
ejpam-6379	667	17	cahn	cahn	NOUN
ejpam-6379	667	18	equation	equation	NOUN
ejpam-6379	667	19	.	.	PUNCT
ejpam-6379	668	1	international	international	ADJ
ejpam-6379	668	2	journal	journal	PROPN
ejpam-6379	668	3	of	of	ADP
ejpam-6379	668	4	mathematical	mathematical	ADJ
ejpam-6379	668	5	,	,	PUNCT
ejpam-6379	668	6	engineering	engineering	NOUN
ejpam-6379	668	7	and	and	CCONJ
ejpam-6379	668	8	management	management	NOUN
ejpam-6379	668	9	sciences	science	NOUN
ejpam-6379	668	10	,	,	PUNCT
ejpam-6379	668	11	8(5):912	8(5):912	NUM
ejpam-6379	668	12	,	,	PUNCT
ejpam-6379	668	13	2023	2023	NUM
ejpam-6379	668	14	.	.	PUNCT
ejpam-6379	669	1	r.	r.	PROPN
ejpam-6379	669	2	saadeh	saadeh	PROPN
ejpam-6379	669	3	et	et	PROPN
ejpam-6379	669	4	al	al	PROPN
ejpam-6379	669	5	.	.	PUNCT
ejpam-6379	669	6	/	/	SYM
ejpam-6379	669	7	eur	eur	PROPN
ejpam-6379	669	8	.	.	PUNCT
ejpam-6379	670	1	j.	j.	PROPN
ejpam-6379	670	2	pure	pure	PROPN
ejpam-6379	670	3	appl	appl	PROPN
ejpam-6379	670	4	.	.	PROPN
ejpam-6379	670	5	math	math	PROPN
ejpam-6379	670	6	,	,	PUNCT
ejpam-6379	670	7	18	18	NUM
ejpam-6379	670	8	(	(	PUNCT
ejpam-6379	670	9	3	3	NUM
ejpam-6379	670	10	)	)	PUNCT
ejpam-6379	670	11	(	(	PUNCT
ejpam-6379	670	12	2025	2025	NUM
ejpam-6379	670	13	)	)	PUNCT
ejpam-6379	670	14	,	,	PUNCT
ejpam-6379	670	15	6379	6379	NUM
ejpam-6379	670	16	34	34	NUM
ejpam-6379	670	17	of	of	ADP
ejpam-6379	670	18	34	34	NUM
ejpam-6379	670	19	[	[	X
ejpam-6379	670	20	51	51	NUM
ejpam-6379	670	21	]	]	X
ejpam-6379	670	22	reem	reem	PROPN
ejpam-6379	670	23	allogmany	allogmany	PROPN
ejpam-6379	670	24	,	,	PUNCT
ejpam-6379	670	25	nada	nada	PROPN
ejpam-6379	670	26	a	a	DET
ejpam-6379	670	27	almuallem	almuallem	NOUN
ejpam-6379	670	28	,	,	PUNCT
ejpam-6379	670	29	reima	reima	VERB
ejpam-6379	670	30	daher	daher	ADJ
ejpam-6379	670	31	alsemiry	alsemiry	NOUN
ejpam-6379	670	32	,	,	PUNCT
ejpam-6379	670	33	and	and	CCONJ
ejpam-6379	670	34	mohamed	mohame	VERB
ejpam-6379	670	35	a	a	DET
ejpam-6379	670	36	abdoon	abdoon	NOUN
ejpam-6379	670	37	.	.	PUNCT
ejpam-6379	671	1	exploring	explore	VERB
ejpam-6379	671	2	chaos	chaos	NOUN
ejpam-6379	671	3	in	in	ADP
ejpam-6379	671	4	fractional	fractional	ADJ
ejpam-6379	671	5	order	order	NOUN
ejpam-6379	671	6	systems	system	NOUN
ejpam-6379	671	7	:	:	PUNCT
ejpam-6379	671	8	a	a	DET
ejpam-6379	671	9	study	study	NOUN
ejpam-6379	671	10	of	of	ADP
ejpam-6379	671	11	constant	constant	ADJ
ejpam-6379	671	12	and	and	CCONJ
ejpam-6379	671	13	variableorder	variableorder	NOUN
ejpam-6379	671	14	dynamics	dynamic	NOUN
ejpam-6379	671	15	.	.	PUNCT
ejpam-6379	672	1	symmetry	symmetry	PROPN
ejpam-6379	672	2	,	,	PUNCT
ejpam-6379	672	3	17(4):605	17(4):605	NUM
ejpam-6379	672	4	,	,	PUNCT
ejpam-6379	672	5	2025	2025	NUM
ejpam-6379	672	6	.	.	PUNCT
ejpam-6379	673	1	[	[	X
ejpam-6379	673	2	52	52	NUM
ejpam-6379	673	3	]	]	PUNCT
ejpam-6379	673	4	dk	dk	PROPN
ejpam-6379	673	5	almutairi	almutairi	NOUN
ejpam-6379	673	6	,	,	PUNCT
ejpam-6379	673	7	dalal	dalal	PROPN
ejpam-6379	673	8	m	m	PROPN
ejpam-6379	673	9	almutairi	almutairi	NOUN
ejpam-6379	673	10	,	,	PUNCT
ejpam-6379	673	11	nidal	nidal	PROPN
ejpam-6379	673	12	e	e	PROPN
ejpam-6379	673	13	taha	taha	PROPN
ejpam-6379	673	14	,	,	PUNCT
ejpam-6379	673	15	mohammed	mohammed	PROPN
ejpam-6379	673	16	e	e	NOUN
ejpam-6379	673	17	dafaalla	dafaalla	NOUN
ejpam-6379	673	18	,	,	PUNCT
ejpam-6379	673	19	and	and	CCONJ
ejpam-6379	673	20	mohamed	mohame	VERB
ejpam-6379	673	21	a	a	DET
ejpam-6379	673	22	abdoon	abdoon	NOUN
ejpam-6379	673	23	.	.	PUNCT
ejpam-6379	674	1	variable	variable	ADJ
ejpam-6379	674	2	-	-	PUNCT
ejpam-6379	674	3	fractional	fractional	ADJ
ejpam-6379	674	4	-	-	PUNCT
ejpam-6379	674	5	order	order	NOUN
ejpam-6379	674	6	nosé–hoover	nosé–hoover	NOUN
ejpam-6379	674	7	system	system	NOUN
ejpam-6379	674	8	:	:	PUNCT
ejpam-6379	674	9	chaotic	chaotic	ADJ
ejpam-6379	674	10	dynamics	dynamic	NOUN
ejpam-6379	674	11	and	and	CCONJ
ejpam-6379	674	12	numerical	numerical	ADJ
ejpam-6379	674	13	simulations	simulation	NOUN
ejpam-6379	674	14	.	.	PUNCT
ejpam-6379	675	1	fractal	fractal	ADJ
ejpam-6379	675	2	and	and	CCONJ
ejpam-6379	675	3	fractional	fractional	ADJ
ejpam-6379	675	4	,	,	PUNCT
ejpam-6379	675	5	9(5):277	9(5):277	NUM
ejpam-6379	675	6	,	,	PUNCT
ejpam-6379	675	7	2025	2025	NUM
ejpam-6379	675	8	.	.	PUNCT
ejpam-6379	676	1	[	[	X
ejpam-6379	676	2	53	53	NUM
ejpam-6379	676	3	]	]	PUNCT
ejpam-6379	676	4	diaa	diaa	PROPN
ejpam-6379	676	5	diaa	diaa	PROPN
ejpam-6379	676	6	eldin	eldin	PROPN
ejpam-6379	676	7	elgezouli	elgezouli	PROPN
ejpam-6379	676	8	,	,	PUNCT
ejpam-6379	676	9	mohamed	mohamed	PROPN
ejpam-6379	676	10	abdoon	abdoon	PROPN
ejpam-6379	676	11	,	,	PUNCT
ejpam-6379	676	12	samir	samir	PROPN
ejpam-6379	676	13	brahim	brahim	PROPN
ejpam-6379	676	14	belhaouari	belhaouari	PROPN
ejpam-6379	676	15	,	,	PUNCT
ejpam-6379	676	16	and	and	CCONJ
ejpam-6379	676	17	dalal	dalal	PROPN
ejpam-6379	676	18	khalid	khalid	PROPN
ejpam-6379	676	19	almutairi	almutairi	PROPN
ejpam-6379	676	20	.	.	PUNCT
ejpam-6379	677	1	a	a	DET
ejpam-6379	677	2	novel	novel	ADJ
ejpam-6379	677	3	fractional	fractional	ADJ
ejpam-6379	677	4	edge	edge	NOUN
ejpam-6379	677	5	detector	detector	NOUN
ejpam-6379	677	6	based	base	VERB
ejpam-6379	677	7	on	on	ADP
ejpam-6379	677	8	generalized	generalized	ADJ
ejpam-6379	677	9	fractional	fractional	ADJ
ejpam-6379	677	10	operator	operator	NOUN
ejpam-6379	677	11	.	.	PUNCT
ejpam-6379	678	1	european	european	PROPN
ejpam-6379	678	2	journal	journal	PROPN
ejpam-6379	678	3	of	of	ADP
ejpam-6379	678	4	pure	pure	ADJ
ejpam-6379	678	5	and	and	CCONJ
ejpam-6379	678	6	applied	applied	ADJ
ejpam-6379	678	7	mathematics	mathematic	NOUN
ejpam-6379	678	8	,	,	PUNCT
ejpam-6379	678	9	17(2):1009	17(2):1009	NUM
ejpam-6379	678	10	–	–	PUNCT
ejpam-6379	678	11	1028	1028	NUM
ejpam-6379	678	12	,	,	PUNCT
ejpam-6379	678	13	2024	2024	NUM
ejpam-6379	678	14	.	.	PUNCT