id	sid	tid	token	lemma	pos
ejpam-6481	1	1	european	european	PROPN
ejpam-6481	1	2	journal	journal	PROPN
ejpam-6481	1	3	of	of	ADP
ejpam-6481	1	4	pure	pure	ADJ
ejpam-6481	1	5	and	and	CCONJ
ejpam-6481	1	6	applied	applied	ADJ
ejpam-6481	1	7	mathematics	mathematic	NOUN
ejpam-6481	1	8	2025	2025	NUM
ejpam-6481	1	9	,	,	PUNCT
ejpam-6481	1	10	vol	vol	NOUN
ejpam-6481	1	11	.	.	PROPN
ejpam-6481	1	12	18	18	NUM
ejpam-6481	1	13	,	,	PUNCT
ejpam-6481	1	14	issue	issue	NOUN
ejpam-6481	1	15	3	3	NUM
ejpam-6481	1	16	,	,	PUNCT
ejpam-6481	1	17	article	article	NOUN
ejpam-6481	1	18	number	number	NOUN
ejpam-6481	1	19	6481	6481	NUM
ejpam-6481	1	20	issn	issn	PROPN
ejpam-6481	1	21	1307	1307	NUM
ejpam-6481	1	22	-	-	SYM
ejpam-6481	1	23	5543	5543	NUM
ejpam-6481	1	24	–	–	PUNCT
ejpam-6481	1	25	ejpam.com	ejpam.com	X
ejpam-6481	1	26	published	publish	VERB
ejpam-6481	1	27	by	by	ADP
ejpam-6481	1	28	new	new	PROPN
ejpam-6481	1	29	york	york	PROPN
ejpam-6481	1	30	business	business	PROPN
ejpam-6481	1	31	global	global	ADJ
ejpam-6481	1	32	fractional	fractional	ADJ
ejpam-6481	1	33	discrete	discrete	ADJ
ejpam-6481	1	34	modeling	modeling	NOUN
ejpam-6481	1	35	and	and	CCONJ
ejpam-6481	1	36	numerical	numerical	ADJ
ejpam-6481	1	37	analysis	analysis	NOUN
ejpam-6481	1	38	of	of	ADP
ejpam-6481	1	39	hepatitis	hepatitis	PROPN
ejpam-6481	1	40	b	b	PROPN
ejpam-6481	1	41	and	and	CCONJ
ejpam-6481	1	42	c	c	NOUN
ejpam-6481	1	43	dynamics	dynamic	NOUN
ejpam-6481	1	44	with	with	ADP
ejpam-6481	1	45	neural	neural	ADJ
ejpam-6481	1	46	network	network	NOUN
ejpam-6481	1	47	approximation	approximation	NOUN
ejpam-6481	1	48	sajid	sajid	PROPN
ejpam-6481	1	49	ali	ali	PROPN
ejpam-6481	1	50	shah1	shah1	PROPN
ejpam-6481	1	51	,	,	PUNCT
ejpam-6481	1	52	nasir	nasir	PROPN
ejpam-6481	1	53	rehman2	rehman2	PROPN
ejpam-6481	1	54	,	,	PUNCT
ejpam-6481	1	55	sadique	sadique	ADJ
ejpam-6481	1	56	ahmad3,∗,mohammed	ahmad3,∗,mohammed	PROPN
ejpam-6481	1	57	a.elaffendi3	a.elaffendi3	NOUN
ejpam-6481	1	58	,	,	PUNCT
ejpam-6481	1	59	abdelhamied	abdelhamie	VERB
ejpam-6481	1	60	ashraf	ashraf	NOUN
ejpam-6481	1	61	ateya3	ateya3	VERB
ejpam-6481	1	62	1	1	NUM
ejpam-6481	1	63	department	department	NOUN
ejpam-6481	1	64	of	of	ADP
ejpam-6481	1	65	zoology	zoology	NOUN
ejpam-6481	1	66	government	government	NOUN
ejpam-6481	1	67	degree	degree	NOUN
ejpam-6481	1	68	college	college	NOUN
ejpam-6481	1	69	thana	thana	PROPN
ejpam-6481	1	70	malakand	malakand	PROPN
ejpam-6481	1	71	,	,	PUNCT
ejpam-6481	1	72	khyber	khyber	PROPN
ejpam-6481	1	73	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6481	1	74	,	,	PUNCT
ejpam-6481	1	75	pakistan	pakistan	PROPN
ejpam-6481	1	76	2	2	NUM
ejpam-6481	1	77	department	department	NOUN
ejpam-6481	1	78	of	of	ADP
ejpam-6481	1	79	mathematics	mathematic	NOUN
ejpam-6481	1	80	,	,	PUNCT
ejpam-6481	1	81	allama	allama	PROPN
ejpam-6481	1	82	iqbal	iqbal	PROPN
ejpam-6481	1	83	open	open	PROPN
ejpam-6481	1	84	university	university	PROPN
ejpam-6481	1	85	islamabad	islamabad	PROPN
ejpam-6481	1	86	,	,	PUNCT
ejpam-6481	1	87	pakistan	pakistan	PROPN
ejpam-6481	1	88	3	3	NUM
ejpam-6481	1	89	eias	eias	PROPN
ejpam-6481	1	90	data	data	PROPN
ejpam-6481	1	91	science	science	NOUN
ejpam-6481	1	92	and	and	CCONJ
ejpam-6481	1	93	blockchain	blockchain	PROPN
ejpam-6481	1	94	laboratory	laboratory	PROPN
ejpam-6481	1	95	,	,	PUNCT
ejpam-6481	1	96	college	college	NOUN
ejpam-6481	1	97	of	of	ADP
ejpam-6481	1	98	computer	computer	NOUN
ejpam-6481	1	99	and	and	CCONJ
ejpam-6481	1	100	information	information	NOUN
ejpam-6481	1	101	sciences	science	NOUN
ejpam-6481	1	102	,	,	PUNCT
ejpam-6481	1	103	prince	prince	PROPN
ejpam-6481	1	104	sultan	sultan	PROPN
ejpam-6481	1	105	university	university	PROPN
ejpam-6481	1	106	,	,	PUNCT
ejpam-6481	1	107	riyadh	riyadh	PROPN
ejpam-6481	1	108	11586	11586	NUM
ejpam-6481	1	109	,	,	PUNCT
ejpam-6481	1	110	saudi	saudi	PROPN
ejpam-6481	1	111	arabia	arabia	PROPN
ejpam-6481	1	112	abstract	abstract	NOUN
ejpam-6481	1	113	.	.	PUNCT
ejpam-6481	2	1	this	this	DET
ejpam-6481	2	2	paper	paper	NOUN
ejpam-6481	2	3	is	be	AUX
ejpam-6481	2	4	devoted	devote	VERB
ejpam-6481	2	5	to	to	PART
ejpam-6481	2	6	establish	establish	VERB
ejpam-6481	2	7	a	a	DET
ejpam-6481	2	8	details	detail	NOUN
ejpam-6481	2	9	analysis	analysis	NOUN
ejpam-6481	2	10	for	for	ADP
ejpam-6481	2	11	the	the	DET
ejpam-6481	2	12	dynamics	dynamic	NOUN
ejpam-6481	2	13	of	of	ADP
ejpam-6481	2	14	hepatitis	hepatitis	PROPN
ejpam-6481	2	15	b	b	PROPN
ejpam-6481	2	16	and	and	CCONJ
ejpam-6481	2	17	c	c	NOUN
ejpam-6481	2	18	through	through	ADP
ejpam-6481	2	19	some	some	DET
ejpam-6481	2	20	mathematical	mathematical	ADJ
ejpam-6481	2	21	difference	difference	NOUN
ejpam-6481	2	22	equations	equation	NOUN
ejpam-6481	2	23	.	.	PUNCT
ejpam-6481	3	1	serious	serious	ADJ
ejpam-6481	3	2	viral	viral	ADJ
ejpam-6481	3	3	illnesses	illness	NOUN
ejpam-6481	3	4	that	that	PRON
ejpam-6481	3	5	mainly	mainly	ADV
ejpam-6481	3	6	affect	affect	VERB
ejpam-6481	3	7	the	the	DET
ejpam-6481	3	8	liver	liver	NOUN
ejpam-6481	3	9	,	,	PUNCT
ejpam-6481	3	10	hepatitis	hepatitis	PROPN
ejpam-6481	3	11	b	b	PROPN
ejpam-6481	3	12	and	and	CCONJ
ejpam-6481	3	13	c	c	PROPN
ejpam-6481	3	14	can	can	AUX
ejpam-6481	3	15	cause	cause	VERB
ejpam-6481	3	16	inflammation	inflammation	NOUN
ejpam-6481	3	17	and	and	CCONJ
ejpam-6481	3	18	even	even	ADV
ejpam-6481	3	19	damage	damage	VERB
ejpam-6481	3	20	to	to	ADP
ejpam-6481	3	21	the	the	DET
ejpam-6481	3	22	liver	liver	NOUN
ejpam-6481	3	23	.	.	PUNCT
ejpam-6481	4	1	hepatitis	hepatitis	PROPN
ejpam-6481	4	2	b	b	PROPN
ejpam-6481	4	3	can	can	AUX
ejpam-6481	4	4	spread	spread	VERB
ejpam-6481	4	5	by	by	ADP
ejpam-6481	4	6	bodily	bodily	ADJ
ejpam-6481	4	7	fluids	fluid	NOUN
ejpam-6481	4	8	such	such	ADJ
ejpam-6481	4	9	as	as	ADP
ejpam-6481	4	10	semen	semen	NOUN
ejpam-6481	4	11	or	or	CCONJ
ejpam-6481	4	12	vaginal	vaginal	ADJ
ejpam-6481	4	13	fluid	fluid	NOUN
ejpam-6481	4	14	,	,	PUNCT
ejpam-6481	4	15	even	even	ADV
ejpam-6481	4	16	though	though	SCONJ
ejpam-6481	4	17	both	both	PRON
ejpam-6481	4	18	are	be	AUX
ejpam-6481	4	19	blood	blood	NOUN
ejpam-6481	4	20	-	-	PUNCT
ejpam-6481	4	21	borne	borne	NOUN
ejpam-6481	4	22	.	.	PUNCT
ejpam-6481	5	1	while	while	SCONJ
ejpam-6481	5	2	hepatitis	hepatitis	PROPN
ejpam-6481	5	3	c	c	PROPN
ejpam-6481	5	4	can	can	AUX
ejpam-6481	5	5	be	be	AUX
ejpam-6481	5	6	cured	cure	VERB
ejpam-6481	5	7	with	with	ADP
ejpam-6481	5	8	medication	medication	NOUN
ejpam-6481	5	9	,	,	PUNCT
ejpam-6481	5	10	hepatitis	hepatitis	PROPN
ejpam-6481	5	11	b	b	NOUN
ejpam-6481	5	12	can	can	AUX
ejpam-6481	5	13	be	be	AUX
ejpam-6481	5	14	prevented	prevent	VERB
ejpam-6481	5	15	with	with	ADP
ejpam-6481	5	16	vaccine	vaccine	NOUN
ejpam-6481	5	17	.	.	PUNCT
ejpam-6481	6	1	we	we	PRON
ejpam-6481	6	2	formulate	formulate	VERB
ejpam-6481	6	3	a	a	DET
ejpam-6481	6	4	mathematical	mathematical	ADJ
ejpam-6481	6	5	model	model	NOUN
ejpam-6481	6	6	of	of	ADP
ejpam-6481	6	7	the	the	DET
ejpam-6481	6	8	mentioned	mention	VERB
ejpam-6481	6	9	disease	disease	NOUN
ejpam-6481	6	10	through	through	ADP
ejpam-6481	6	11	fractional	fractional	ADJ
ejpam-6481	6	12	difference	difference	NOUN
ejpam-6481	6	13	equations	equation	NOUN
ejpam-6481	6	14	using	use	VERB
ejpam-6481	6	15	the	the	DET
ejpam-6481	6	16	caputo	caputo	PROPN
ejpam-6481	6	17	fractional	fractional	PROPN
ejpam-6481	6	18	difference	difference	NOUN
ejpam-6481	6	19	operator	operator	NOUN
ejpam-6481	6	20	(	(	PUNCT
ejpam-6481	6	21	cfdo	cfdo	NOUN
ejpam-6481	6	22	)	)	PUNCT
ejpam-6481	6	23	.	.	PUNCT
ejpam-6481	7	1	existence	existence	NOUN
ejpam-6481	7	2	theory	theory	NOUN
ejpam-6481	7	3	,	,	PUNCT
ejpam-6481	7	4	ulam	ulam	NOUN
ejpam-6481	7	5	-	-	PUNCT
ejpam-6481	7	6	hyers	hyer	NOUN
ejpam-6481	7	7	(	(	PUNCT
ejpam-6481	7	8	uh	uh	INTJ
ejpam-6481	7	9	)	)	PUNCT
ejpam-6481	7	10	stability	stability	NOUN
ejpam-6481	7	11	and	and	CCONJ
ejpam-6481	7	12	numerical	numerical	ADJ
ejpam-6481	7	13	investigation	investigation	NOUN
ejpam-6481	7	14	are	be	AUX
ejpam-6481	7	15	deduced	deduce	VERB
ejpam-6481	7	16	.	.	PUNCT
ejpam-6481	8	1	further	far	ADV
ejpam-6481	8	2	,	,	PUNCT
ejpam-6481	8	3	analysis	analysis	NOUN
ejpam-6481	8	4	based	base	VERB
ejpam-6481	8	5	on	on	ADP
ejpam-6481	8	6	artificial	artificial	ADJ
ejpam-6481	8	7	intelligence	intelligence	NOUN
ejpam-6481	8	8	(	(	PUNCT
ejpam-6481	8	9	ai	ai	VERB
ejpam-6481	8	10	)	)	PUNCT
ejpam-6481	8	11	is	be	AUX
ejpam-6481	8	12	considered	consider	VERB
ejpam-6481	8	13	.	.	PUNCT
ejpam-6481	9	1	we	we	PRON
ejpam-6481	9	2	have	have	AUX
ejpam-6481	9	3	used	use	VERB
ejpam-6481	9	4	neural	neural	ADJ
ejpam-6481	9	5	networks	network	NOUN
ejpam-6481	9	6	(	(	PUNCT
ejpam-6481	9	7	nns	nn	NOUN
ejpam-6481	9	8	)	)	PUNCT
ejpam-6481	9	9	based	base	VERB
ejpam-6481	9	10	investigations	investigation	NOUN
ejpam-6481	9	11	to	to	PART
ejpam-6481	9	12	conduct	conduct	VERB
ejpam-6481	9	13	our	our	PRON
ejpam-6481	9	14	study	study	NOUN
ejpam-6481	9	15	.	.	PUNCT
ejpam-6481	10	1	various	various	ADJ
ejpam-6481	10	2	graphical	graphical	ADJ
ejpam-6481	10	3	illustrations	illustration	NOUN
ejpam-6481	10	4	are	be	AUX
ejpam-6481	10	5	given	give	VERB
ejpam-6481	10	6	to	to	PART
ejpam-6481	10	7	demonstrate	demonstrate	VERB
ejpam-6481	10	8	our	our	PRON
ejpam-6481	10	9	results	result	NOUN
ejpam-6481	10	10	.	.	PUNCT
ejpam-6481	11	1	for	for	ADP
ejpam-6481	11	2	our	our	PRON
ejpam-6481	11	3	analysis	analysis	NOUN
ejpam-6481	11	4	we	we	PRON
ejpam-6481	11	5	use	use	VERB
ejpam-6481	11	6	matlab	matlab	PROPN
ejpam-6481	11	7	software	software	NOUN
ejpam-6481	11	8	with	with	ADP
ejpam-6481	11	9	2023	2023	NUM
ejpam-6481	11	10	version	version	NOUN
ejpam-6481	11	11	.	.	PUNCT
ejpam-6481	12	1	2020	2020	NUM
ejpam-6481	12	2	mathematics	mathematic	NOUN
ejpam-6481	12	3	subject	subject	NOUN
ejpam-6481	12	4	classifications	classification	NOUN
ejpam-6481	12	5	:	:	PUNCT
ejpam-6481	12	6	26a33	26a33	NUM
ejpam-6481	12	7	,	,	PUNCT
ejpam-6481	12	8	34a08	34a08	NUM
ejpam-6481	12	9	,	,	PUNCT
ejpam-6481	12	10	68t07	68t07	NUM
ejpam-6481	12	11	,	,	PUNCT
ejpam-6481	12	12	92b20	92b20	NUM
ejpam-6481	12	13	key	key	ADJ
ejpam-6481	12	14	words	word	NOUN
ejpam-6481	12	15	and	and	CCONJ
ejpam-6481	12	16	phrases	phrase	NOUN
ejpam-6481	12	17	:	:	PUNCT
ejpam-6481	12	18	viral	viral	ADJ
ejpam-6481	12	19	infections	infection	NOUN
ejpam-6481	12	20	,	,	PUNCT
ejpam-6481	12	21	difference	difference	NOUN
ejpam-6481	12	22	equations	equation	NOUN
ejpam-6481	12	23	,	,	PUNCT
ejpam-6481	12	24	numerical	numerical	ADJ
ejpam-6481	12	25	investigation	investigation	NOUN
ejpam-6481	12	26	,	,	PUNCT
ejpam-6481	12	27	neural	neural	ADJ
ejpam-6481	12	28	networks	network	NOUN
ejpam-6481	12	29	.	.	PUNCT
ejpam-6481	13	1	1	1	X
ejpam-6481	13	2	.	.	X
ejpam-6481	13	3	introduction	introduction	NOUN
ejpam-6481	13	4	a	a	DET
ejpam-6481	13	5	well	well	ADV
ejpam-6481	13	6	-	-	PUNCT
ejpam-6481	13	7	known	know	VERB
ejpam-6481	13	8	area	area	NOUN
ejpam-6481	13	9	of	of	ADP
ejpam-6481	13	10	study	study	NOUN
ejpam-6481	13	11	in	in	ADP
ejpam-6481	13	12	the	the	DET
ejpam-6481	13	13	biological	biological	ADJ
ejpam-6481	13	14	sciences	science	NOUN
ejpam-6481	13	15	,	,	PUNCT
ejpam-6481	13	16	epidemiology	epidemiology	NOUN
ejpam-6481	13	17	looks	look	VERB
ejpam-6481	13	18	at	at	ADP
ejpam-6481	13	19	health	health	NOUN
ejpam-6481	13	20	,	,	PUNCT
ejpam-6481	13	21	disease	disease	NOUN
ejpam-6481	13	22	,	,	PUNCT
ejpam-6481	13	23	and	and	CCONJ
ejpam-6481	13	24	associated	associate	VERB
ejpam-6481	13	25	variables	variable	NOUN
ejpam-6481	13	26	at	at	ADP
ejpam-6481	13	27	the	the	DET
ejpam-6481	13	28	population	population	NOUN
ejpam-6481	13	29	level	level	NOUN
ejpam-6481	13	30	.	.	PUNCT
ejpam-6481	14	1	the	the	DET
ejpam-6481	14	2	science	science	NOUN
ejpam-6481	14	3	of	of	ADP
ejpam-6481	14	4	epidemiology	epidemiology	NOUN
ejpam-6481	14	5	is	be	AUX
ejpam-6481	14	6	primarily	primarily	ADV
ejpam-6481	14	7	concerned	concerned	ADJ
ejpam-6481	14	8	with	with	ADP
ejpam-6481	14	9	human	human	ADJ
ejpam-6481	14	10	populations	population	NOUN
ejpam-6481	14	11	,	,	PUNCT
ejpam-6481	14	12	as	as	SCONJ
ejpam-6481	14	13	evidenced	evidence	VERB
ejpam-6481	14	14	by	by	ADP
ejpam-6481	14	15	the	the	DET
ejpam-6481	14	16	fact	fact	NOUN
ejpam-6481	14	17	that	that	SCONJ
ejpam-6481	14	18	the	the	DET
ejpam-6481	14	19	term	term	NOUN
ejpam-6481	14	20	∗corresponding	∗corresponde	VERB
ejpam-6481	14	21	author	author	NOUN
ejpam-6481	14	22	.	.	PUNCT
ejpam-6481	15	1	doi	doi	NOUN
ejpam-6481	15	2	:	:	PUNCT
ejpam-6481	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6481	https://doi.org/10.29020/nybg.ejpam.v18i3.6481	PROPN
ejpam-6481	15	4	email	email	NOUN
ejpam-6481	15	5	addresses	address	VERB
ejpam-6481	15	6	:	:	PUNCT
ejpam-6481	15	7	shahsajidali442@gmail.com	shahsajidali442@gmail.com	X
ejpam-6481	15	8	(	(	PUNCT
ejpam-6481	15	9	s.	s.	PROPN
ejpam-6481	15	10	a.	a.	PROPN
ejpam-6481	15	11	shah	shah	PROPN
ejpam-6481	15	12	)	)	PUNCT
ejpam-6481	15	13	,	,	PUNCT
ejpam-6481	15	14	nasir.rehman@aiou.edu.pk	nasir.rehman@aiou.edu.pk	NOUN
ejpam-6481	15	15	(	(	PUNCT
ejpam-6481	15	16	n.	n.	NOUN
ejpam-6481	15	17	rehman),saahmad@psu.edu.sa	rehman),saahmad@psu.edu.sa	PROPN
ejpam-6481	15	18	(	(	PUNCT
ejpam-6481	15	19	s.	s.	PROPN
ejpam-6481	15	20	ahmad	ahmad	PROPN
ejpam-6481	15	21	)	)	PUNCT
ejpam-6481	15	22	,	,	PUNCT
ejpam-6481	15	23	affendi@psu.edu.sa	affendi@psu.edu.sa	PROPN
ejpam-6481	15	24	(	(	PUNCT
ejpam-6481	15	25	m.	m.	NOUN
ejpam-6481	15	26	a.	a.	NOUN
ejpam-6481	15	27	affendi	affendi	PROPN
ejpam-6481	15	28	)	)	PUNCT
ejpam-6481	15	29	,	,	PUNCT
ejpam-6481	15	30	aateya@psu.edu.sa	aateya@psu.edu.sa	NOUN
ejpam-6481	15	31	(	(	PUNCT
ejpam-6481	15	32	a.	a.	NOUN
ejpam-6481	15	33	a.ateya	a.ateya	NOUN
ejpam-6481	15	34	)	)	PUNCT
ejpam-6481	15	35	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6481	16	1	1	1	NUM
ejpam-6481	16	2	copyright	copyright	NOUN
ejpam-6481	16	3	:	:	PUNCT
ejpam-6481	16	4	©	©	PROPN
ejpam-6481	16	5	2025	2025	NUM
ejpam-6481	16	6	the	the	DET
ejpam-6481	16	7	author(s	author(s	NOUN
ejpam-6481	16	8	)	)	PUNCT
ejpam-6481	16	9	.	.	PUNCT
ejpam-6481	17	1	(	(	PUNCT
ejpam-6481	17	2	cc	cc	NOUN
ejpam-6481	17	3	by	by	ADP
ejpam-6481	17	4	-	-	PUNCT
ejpam-6481	17	5	nc	nc	PROPN
ejpam-6481	17	6	4.0	4.0	NUM
ejpam-6481	17	7	)	)	PUNCT
ejpam-6481	17	8	s.	s.	PROPN
ejpam-6481	17	9	a.shah	a.shah	PROPN
ejpam-6481	17	10	et	et	PROPN
ejpam-6481	17	11	al	al	PROPN
ejpam-6481	17	12	.	.	PUNCT
ejpam-6481	17	13	/	/	SYM
ejpam-6481	17	14	eur	eur	PROPN
ejpam-6481	17	15	.	.	PUNCT
ejpam-6481	18	1	j.	j.	PROPN
ejpam-6481	18	2	pure	pure	PROPN
ejpam-6481	18	3	appl	appl	PROPN
ejpam-6481	18	4	.	.	PROPN
ejpam-6481	18	5	math	math	PROPN
ejpam-6481	18	6	,	,	PUNCT
ejpam-6481	18	7	18	18	NUM
ejpam-6481	18	8	(	(	PUNCT
ejpam-6481	18	9	3	3	NUM
ejpam-6481	18	10	)	)	PUNCT
ejpam-6481	18	11	(	(	PUNCT
ejpam-6481	18	12	2025	2025	NUM
ejpam-6481	18	13	)	)	PUNCT
ejpam-6481	18	14	,	,	PUNCT
ejpam-6481	18	15	6481	6481	NUM
ejpam-6481	18	16	2	2	NUM
ejpam-6481	18	17	of	of	ADP
ejpam-6481	18	18	19	19	NUM
ejpam-6481	18	19	”	"	PUNCT
ejpam-6481	18	20	epidemiology	epidemiology	NOUN
ejpam-6481	18	21	”	"	PUNCT
ejpam-6481	18	22	is	be	AUX
ejpam-6481	18	23	formed	form	VERB
ejpam-6481	18	24	from	from	ADP
ejpam-6481	18	25	three	three	NUM
ejpam-6481	18	26	greek	greek	ADJ
ejpam-6481	18	27	words	word	NOUN
ejpam-6481	18	28	:	:	PUNCT
ejpam-6481	18	29	epi	epi	NOUN
ejpam-6481	18	30	(	(	PUNCT
ejpam-6481	18	31	upon	upon	SCONJ
ejpam-6481	18	32	)	)	PUNCT
ejpam-6481	18	33	,	,	PUNCT
ejpam-6481	18	34	demos	demos	NOUN
ejpam-6481	18	35	(	(	PUNCT
ejpam-6481	18	36	public	public	NOUN
ejpam-6481	18	37	)	)	PUNCT
ejpam-6481	18	38	,	,	PUNCT
ejpam-6481	18	39	and	and	CCONJ
ejpam-6481	18	40	logos	logo	NOUN
ejpam-6481	18	41	(	(	PUNCT
ejpam-6481	18	42	research	research	NOUN
ejpam-6481	18	43	)	)	PUNCT
ejpam-6481	19	1	[	[	X
ejpam-6481	19	2	1	1	NUM
ejpam-6481	19	3	]	]	PUNCT
ejpam-6481	19	4	.	.	PUNCT
ejpam-6481	20	1	nowadays	nowadays	ADV
ejpam-6481	20	2	,	,	PUNCT
ejpam-6481	20	3	there	there	PRON
ejpam-6481	20	4	is	be	VERB
ejpam-6481	20	5	a	a	DET
ejpam-6481	20	6	wealth	wealth	NOUN
ejpam-6481	20	7	of	of	ADP
ejpam-6481	20	8	opportunities	opportunity	NOUN
ejpam-6481	20	9	to	to	PART
ejpam-6481	20	10	use	use	VERB
ejpam-6481	20	11	mathematical	mathematical	ADJ
ejpam-6481	20	12	research	research	NOUN
ejpam-6481	20	13	in	in	ADP
ejpam-6481	20	14	the	the	DET
ejpam-6481	20	15	biological	biological	ADJ
ejpam-6481	20	16	sciences	science	NOUN
ejpam-6481	20	17	to	to	ADP
ejpam-6481	20	18	the	the	DET
ejpam-6481	20	19	study	study	NOUN
ejpam-6481	20	20	of	of	ADP
ejpam-6481	20	21	infectious	infectious	ADJ
ejpam-6481	20	22	diseases	disease	NOUN
ejpam-6481	20	23	.	.	PUNCT
ejpam-6481	21	1	both	both	DET
ejpam-6481	21	2	human	human	ADJ
ejpam-6481	21	3	and	and	CCONJ
ejpam-6481	21	4	non	non	ADJ
ejpam-6481	21	5	-	-	ADJ
ejpam-6481	21	6	human	human	ADJ
ejpam-6481	21	7	populations	population	NOUN
ejpam-6481	21	8	’	'	PUNCT
ejpam-6481	21	9	rates	rate	NOUN
ejpam-6481	21	10	of	of	ADP
ejpam-6481	21	11	illness	illness	NOUN
ejpam-6481	21	12	and	and	CCONJ
ejpam-6481	21	13	mortality	mortality	NOUN
ejpam-6481	21	14	are	be	AUX
ejpam-6481	21	15	greatly	greatly	ADV
ejpam-6481	21	16	influenced	influence	VERB
ejpam-6481	21	17	by	by	ADP
ejpam-6481	21	18	infectious	infectious	ADJ
ejpam-6481	21	19	diseases	disease	NOUN
ejpam-6481	21	20	.	.	PUNCT
ejpam-6481	22	1	as	as	ADP
ejpam-6481	22	2	a	a	DET
ejpam-6481	22	3	result	result	NOUN
ejpam-6481	22	4	,	,	PUNCT
ejpam-6481	22	5	both	both	DET
ejpam-6481	22	6	mathematicians	mathematician	NOUN
ejpam-6481	22	7	and	and	CCONJ
ejpam-6481	22	8	biologists	biologist	NOUN
ejpam-6481	22	9	are	be	AUX
ejpam-6481	22	10	interested	interested	ADJ
ejpam-6481	22	11	in	in	ADP
ejpam-6481	22	12	the	the	DET
ejpam-6481	22	13	potential	potential	NOUN
ejpam-6481	22	14	of	of	ADP
ejpam-6481	22	15	formal	formal	ADJ
ejpam-6481	22	16	models	model	NOUN
ejpam-6481	22	17	to	to	PART
ejpam-6481	22	18	alleviate	alleviate	VERB
ejpam-6481	22	19	these	these	DET
ejpam-6481	22	20	pressures	pressure	NOUN
ejpam-6481	22	21	[	[	X
ejpam-6481	22	22	2	2	NUM
ejpam-6481	22	23	]	]	PUNCT
ejpam-6481	22	24	.	.	PUNCT
ejpam-6481	23	1	in	in	ADP
ejpam-6481	23	2	the	the	DET
ejpam-6481	23	3	field	field	NOUN
ejpam-6481	23	4	of	of	ADP
ejpam-6481	23	5	mathematical	mathematical	ADJ
ejpam-6481	23	6	biology	biology	NOUN
ejpam-6481	23	7	,	,	PUNCT
ejpam-6481	23	8	numerous	numerous	ADJ
ejpam-6481	23	9	scholars	scholar	NOUN
ejpam-6481	23	10	have	have	AUX
ejpam-6481	23	11	devoted	devote	VERB
ejpam-6481	23	12	their	their	PRON
ejpam-6481	23	13	time	time	NOUN
ejpam-6481	23	14	to	to	ADP
ejpam-6481	23	15	investigating	investigate	VERB
ejpam-6481	23	16	the	the	DET
ejpam-6481	23	17	transmission	transmission	NOUN
ejpam-6481	23	18	of	of	ADP
ejpam-6481	23	19	infectious	infectious	ADJ
ejpam-6481	23	20	illnesses	illness	NOUN
ejpam-6481	23	21	using	use	VERB
ejpam-6481	23	22	a	a	DET
ejpam-6481	23	23	variety	variety	NOUN
ejpam-6481	23	24	of	of	ADP
ejpam-6481	23	25	well	well	ADV
ejpam-6481	23	26	-	-	PUNCT
ejpam-6481	23	27	established	establish	VERB
ejpam-6481	23	28	mathematical	mathematical	ADJ
ejpam-6481	23	29	models	model	NOUN
ejpam-6481	23	30	[	[	X
ejpam-6481	23	31	3	3	NUM
ejpam-6481	23	32	]	]	PUNCT
ejpam-6481	23	33	.	.	PUNCT
ejpam-6481	24	1	throughout	throughout	ADP
ejpam-6481	24	2	history	history	NOUN
ejpam-6481	24	3	,	,	PUNCT
ejpam-6481	24	4	infectious	infectious	ADJ
ejpam-6481	24	5	diseases	disease	NOUN
ejpam-6481	24	6	have	have	AUX
ejpam-6481	24	7	had	have	VERB
ejpam-6481	24	8	a	a	DET
ejpam-6481	24	9	significant	significant	ADJ
ejpam-6481	24	10	impact	impact	NOUN
ejpam-6481	24	11	on	on	ADP
ejpam-6481	24	12	people	people	NOUN
ejpam-6481	24	13	’s	’s	PART
ejpam-6481	24	14	lives	life	NOUN
ejpam-6481	24	15	.	.	PUNCT
ejpam-6481	25	1	in	in	ADP
ejpam-6481	25	2	many	many	ADJ
ejpam-6481	25	3	parts	part	NOUN
ejpam-6481	25	4	of	of	ADP
ejpam-6481	25	5	the	the	DET
ejpam-6481	25	6	world	world	NOUN
ejpam-6481	25	7	,	,	PUNCT
ejpam-6481	25	8	infectious	infectious	ADJ
ejpam-6481	25	9	diseases	disease	NOUN
ejpam-6481	25	10	that	that	PRON
ejpam-6481	25	11	manifest	manifest	VERB
ejpam-6481	25	12	as	as	ADP
ejpam-6481	25	13	outbreaks	outbreak	NOUN
ejpam-6481	25	14	cause	cause	VERB
ejpam-6481	25	15	pandemic	pandemic	ADJ
ejpam-6481	25	16	that	that	PRON
ejpam-6481	25	17	claim	claim	VERB
ejpam-6481	25	18	millions	million	NOUN
ejpam-6481	25	19	of	of	ADP
ejpam-6481	25	20	lives	life	NOUN
ejpam-6481	25	21	.	.	PUNCT
ejpam-6481	26	1	for	for	ADP
ejpam-6481	26	2	example	example	NOUN
ejpam-6481	26	3	,	,	PUNCT
ejpam-6481	26	4	the	the	DET
ejpam-6481	26	5	1918	1918	NUM
ejpam-6481	26	6	influenza	influenza	NOUN
ejpam-6481	26	7	virus	virus	NOUN
ejpam-6481	27	1	[	[	X
ejpam-6481	27	2	4	4	NUM
ejpam-6481	27	3	]	]	PUNCT
ejpam-6481	27	4	,	,	PUNCT
ejpam-6481	27	5	commonly	commonly	ADV
ejpam-6481	27	6	referred	refer	VERB
ejpam-6481	27	7	to	to	ADP
ejpam-6481	27	8	as	as	ADP
ejpam-6481	27	9	”	"	PUNCT
ejpam-6481	27	10	the	the	DET
ejpam-6481	27	11	spanish	spanish	ADJ
ejpam-6481	27	12	flu	flu	NOUN
ejpam-6481	27	13	,	,	PUNCT
ejpam-6481	27	14	”	"	PUNCT
ejpam-6481	27	15	produced	produce	VERB
ejpam-6481	27	16	the	the	DET
ejpam-6481	27	17	greatest	great	ADJ
ejpam-6481	27	18	pandemic	pandemic	NOUN
ejpam-6481	27	19	in	in	ADP
ejpam-6481	27	20	recorded	record	VERB
ejpam-6481	27	21	history	history	NOUN
ejpam-6481	27	22	before	before	ADP
ejpam-6481	27	23	covid-19	covid-19	PROPN
ejpam-6481	28	1	[	[	X
ejpam-6481	28	2	5	5	NUM
ejpam-6481	28	3	]	]	PUNCT
ejpam-6481	28	4	.	.	PUNCT
ejpam-6481	29	1	over	over	ADP
ejpam-6481	29	2	50	50	NUM
ejpam-6481	29	3	million	million	NUM
ejpam-6481	29	4	people	people	NOUN
ejpam-6481	29	5	died	die	VERB
ejpam-6481	29	6	globally	globally	ADV
ejpam-6481	29	7	during	during	ADP
ejpam-6481	29	8	the	the	DET
ejpam-6481	29	9	aforementioned	aforementioned	ADJ
ejpam-6481	29	10	outbreak	outbreak	NOUN
ejpam-6481	29	11	.	.	PUNCT
ejpam-6481	30	1	since	since	SCONJ
ejpam-6481	30	2	the	the	DET
ejpam-6481	30	3	spread	spread	NOUN
ejpam-6481	30	4	of	of	ADP
ejpam-6481	30	5	susceptible	susceptible	ADJ
ejpam-6481	30	6	and	and	CCONJ
ejpam-6481	30	7	ill	ill	ADJ
ejpam-6481	30	8	individuals	individual	NOUN
ejpam-6481	30	9	might	might	AUX
ejpam-6481	30	10	infect	infect	VERB
ejpam-6481	30	11	more	more	ADJ
ejpam-6481	30	12	people	people	NOUN
ejpam-6481	30	13	and	and	CCONJ
ejpam-6481	30	14	potentially	potentially	ADV
ejpam-6481	30	15	result	result	VERB
ejpam-6481	30	16	in	in	ADP
ejpam-6481	30	17	their	their	PRON
ejpam-6481	30	18	death	death	NOUN
ejpam-6481	30	19	,	,	PUNCT
ejpam-6481	30	20	infectious	infectious	ADJ
ejpam-6481	30	21	diseases	disease	NOUN
ejpam-6481	30	22	have	have	AUX
ejpam-6481	30	23	long	long	ADV
ejpam-6481	30	24	posed	pose	VERB
ejpam-6481	30	25	a	a	DET
ejpam-6481	30	26	threat	threat	NOUN
ejpam-6481	30	27	to	to	ADP
ejpam-6481	30	28	human	human	ADJ
ejpam-6481	30	29	safety	safety	NOUN
ejpam-6481	30	30	[	[	X
ejpam-6481	30	31	6	6	NUM
ejpam-6481	30	32	]	]	PUNCT
ejpam-6481	30	33	.	.	PUNCT
ejpam-6481	31	1	globally	globally	ADV
ejpam-6481	31	2	,	,	PUNCT
ejpam-6481	31	3	between	between	ADP
ejpam-6481	31	4	64	64	NUM
ejpam-6481	31	5	and	and	CCONJ
ejpam-6481	31	6	103	103	NUM
ejpam-6481	31	7	million	million	NUM
ejpam-6481	31	8	people	people	NOUN
ejpam-6481	31	9	have	have	VERB
ejpam-6481	31	10	a	a	DET
ejpam-6481	31	11	chronic	chronic	ADJ
ejpam-6481	31	12	infection	infection	NOUN
ejpam-6481	31	13	.	.	PUNCT
ejpam-6481	32	1	unsterile	unsterile	PROPN
ejpam-6481	32	2	medical	medical	ADJ
ejpam-6481	32	3	procedures	procedure	NOUN
ejpam-6481	32	4	,	,	PUNCT
ejpam-6481	32	5	iatrogenic	iatrogenic	ADJ
ejpam-6481	32	6	infections	infection	NOUN
ejpam-6481	32	7	,	,	PUNCT
ejpam-6481	32	8	and	and	CCONJ
ejpam-6481	32	9	inappropriate	inappropriate	ADJ
ejpam-6481	32	10	injectable	injectable	ADJ
ejpam-6481	32	11	drug	drug	NOUN
ejpam-6481	32	12	use	use	NOUN
ejpam-6481	32	13	are	be	AUX
ejpam-6481	32	14	key	key	ADJ
ejpam-6481	32	15	risk	risk	NOUN
ejpam-6481	32	16	factors	factor	NOUN
ejpam-6481	32	17	for	for	ADP
ejpam-6481	32	18	hcv	hcv	ADJ
ejpam-6481	32	19	infection	infection	NOUN
ejpam-6481	32	20	in	in	ADP
ejpam-6481	32	21	countries	country	NOUN
ejpam-6481	32	22	where	where	SCONJ
ejpam-6481	32	23	it	it	PRON
ejpam-6481	32	24	is	be	AUX
ejpam-6481	32	25	extremely	extremely	ADV
ejpam-6481	32	26	prevalent	prevalent	ADJ
ejpam-6481	32	27	.	.	PUNCT
ejpam-6481	33	1	in	in	ADP
ejpam-6481	33	2	regions	region	NOUN
ejpam-6481	33	3	with	with	ADP
ejpam-6481	33	4	high	high	ADJ
ejpam-6481	33	5	hcv	hcv	NOUN
ejpam-6481	33	6	incidence	incidence	NOUN
ejpam-6481	33	7	,	,	PUNCT
ejpam-6481	33	8	unsterile	unsterile	PROPN
ejpam-6481	33	9	medical	medical	ADJ
ejpam-6481	33	10	procedures	procedure	NOUN
ejpam-6481	33	11	(	(	PUNCT
ejpam-6481	33	12	iatrogenic	iatrogenic	ADJ
ejpam-6481	33	13	infections	infection	NOUN
ejpam-6481	33	14	)	)	PUNCT
ejpam-6481	33	15	and	and	CCONJ
ejpam-6481	33	16	improper	improper	ADJ
ejpam-6481	33	17	injectable	injectable	ADJ
ejpam-6481	33	18	drug	drug	NOUN
ejpam-6481	33	19	use	use	NOUN
ejpam-6481	33	20	are	be	AUX
ejpam-6481	33	21	major	major	ADJ
ejpam-6481	33	22	risk	risk	NOUN
ejpam-6481	33	23	factors	factor	NOUN
ejpam-6481	33	24	for	for	ADP
ejpam-6481	33	25	these	these	DET
ejpam-6481	33	26	blood	blood	NOUN
ejpam-6481	33	27	-	-	PUNCT
ejpam-6481	33	28	borne	bear	VERB
ejpam-6481	33	29	viral	viral	ADJ
ejpam-6481	33	30	infections	infection	NOUN
ejpam-6481	33	31	[	[	X
ejpam-6481	33	32	7	7	NUM
ejpam-6481	33	33	]	]	PUNCT
ejpam-6481	33	34	.	.	PUNCT
ejpam-6481	34	1	hepatitis	hepatitis	PROPN
ejpam-6481	34	2	b	b	PROPN
ejpam-6481	34	3	is	be	AUX
ejpam-6481	34	4	a	a	DET
ejpam-6481	34	5	viral	viral	ADJ
ejpam-6481	34	6	disease	disease	NOUN
ejpam-6481	34	7	that	that	PRON
ejpam-6481	34	8	can	can	AUX
ejpam-6481	34	9	cause	cause	VERB
ejpam-6481	34	10	liver	liver	NOUN
ejpam-6481	34	11	failure	failure	NOUN
ejpam-6481	34	12	,	,	PUNCT
ejpam-6481	34	13	cirrhosis	cirrhosis	NOUN
ejpam-6481	34	14	,	,	PUNCT
ejpam-6481	34	15	and	and	CCONJ
ejpam-6481	34	16	liver	liver	NOUN
ejpam-6481	34	17	cancer	cancer	NOUN
ejpam-6481	34	18	.	.	PUNCT
ejpam-6481	35	1	more	more	ADJ
ejpam-6481	35	2	than	than	ADP
ejpam-6481	35	3	250	250	NUM
ejpam-6481	35	4	million	million	NUM
ejpam-6481	35	5	persons	person	NOUN
ejpam-6481	35	6	worldwide	worldwide	ADV
ejpam-6481	35	7	are	be	AUX
ejpam-6481	35	8	estimated	estimate	VERB
ejpam-6481	35	9	to	to	PART
ejpam-6481	35	10	have	have	VERB
ejpam-6481	35	11	a	a	DET
ejpam-6481	35	12	chronic	chronic	ADJ
ejpam-6481	35	13	hepatitis	hepatitis	NOUN
ejpam-6481	35	14	b	b	NOUN
ejpam-6481	35	15	infection	infection	NOUN
ejpam-6481	35	16	by	by	ADP
ejpam-6481	35	17	the	the	DET
ejpam-6481	35	18	world	world	PROPN
ejpam-6481	35	19	health	health	PROPN
ejpam-6481	35	20	organization	organization	NOUN
ejpam-6481	35	21	(	(	PUNCT
ejpam-6481	35	22	who	who	PRON
ejpam-6481	35	23	)	)	PUNCT
ejpam-6481	36	1	[	[	X
ejpam-6481	36	2	8	8	NUM
ejpam-6481	36	3	]	]	PUNCT
ejpam-6481	36	4	.	.	PUNCT
ejpam-6481	37	1	hepatitis	hepatitis	PROPN
ejpam-6481	37	2	c	c	PROPN
ejpam-6481	37	3	is	be	AUX
ejpam-6481	37	4	a	a	DET
ejpam-6481	37	5	virus	virus	NOUN
ejpam-6481	37	6	that	that	PRON
ejpam-6481	37	7	can	can	AUX
ejpam-6481	37	8	cause	cause	VERB
ejpam-6481	37	9	liver	liver	NOUN
ejpam-6481	37	10	cancer	cancer	NOUN
ejpam-6481	37	11	,	,	PUNCT
ejpam-6481	37	12	cirrhosis	cirrhosis	NOUN
ejpam-6481	37	13	,	,	PUNCT
ejpam-6481	37	14	and	and	CCONJ
ejpam-6481	37	15	liver	liver	NOUN
ejpam-6481	37	16	failure	failure	NOUN
ejpam-6481	37	17	.	.	PUNCT
ejpam-6481	38	1	over	over	ADP
ejpam-6481	38	2	70	70	NUM
ejpam-6481	38	3	million	million	NUM
ejpam-6481	38	4	people	people	NOUN
ejpam-6481	38	5	worldwide	worldwide	ADV
ejpam-6481	38	6	suffer	suffer	VERB
ejpam-6481	38	7	from	from	ADP
ejpam-6481	38	8	a	a	DET
ejpam-6481	38	9	chronic	chronic	ADJ
ejpam-6481	38	10	hepatitis	hepatitis	NOUN
ejpam-6481	38	11	c	c	NOUN
ejpam-6481	38	12	infection	infection	NOUN
ejpam-6481	38	13	,	,	PUNCT
ejpam-6481	38	14	according	accord	VERB
ejpam-6481	38	15	to	to	ADP
ejpam-6481	38	16	the	the	DET
ejpam-6481	38	17	who	who	PRON
ejpam-6481	38	18	[	[	X
ejpam-6481	38	19	9	9	NUM
ejpam-6481	38	20	]	]	PUNCT
ejpam-6481	38	21	.	.	PUNCT
ejpam-6481	39	1	hepatitis	hepatitis	PROPN
ejpam-6481	39	2	b	b	PROPN
ejpam-6481	39	3	and	and	CCONJ
ejpam-6481	39	4	c	c	PROPN
ejpam-6481	39	5	are	be	AUX
ejpam-6481	39	6	major	major	ADJ
ejpam-6481	39	7	public	public	ADJ
ejpam-6481	39	8	health	health	NOUN
ejpam-6481	39	9	concerns	concern	NOUN
ejpam-6481	39	10	in	in	ADP
ejpam-6481	39	11	pakistan	pakistan	PROPN
ejpam-6481	39	12	.	.	PUNCT
ejpam-6481	40	1	according	accord	VERB
ejpam-6481	40	2	to	to	ADP
ejpam-6481	40	3	a	a	DET
ejpam-6481	40	4	nationwide	nationwide	ADJ
ejpam-6481	40	5	survey	survey	NOUN
ejpam-6481	40	6	conducted	conduct	VERB
ejpam-6481	40	7	by	by	ADP
ejpam-6481	40	8	the	the	DET
ejpam-6481	40	9	pakistan	pakistan	PROPN
ejpam-6481	40	10	medical	medical	PROPN
ejpam-6481	40	11	research	research	PROPN
ejpam-6481	40	12	council	council	PROPN
ejpam-6481	40	13	(	(	PUNCT
ejpam-6481	40	14	pmrc	pmrc	NOUN
ejpam-6481	40	15	)	)	PUNCT
ejpam-6481	40	16	in	in	ADP
ejpam-6481	40	17	2017	2017	NUM
ejpam-6481	40	18	-	-	SYM
ejpam-6481	40	19	18	18	NUM
ejpam-6481	40	20	,	,	PUNCT
ejpam-6481	40	21	the	the	DET
ejpam-6481	40	22	prevalence	prevalence	NOUN
ejpam-6481	40	23	of	of	ADP
ejpam-6481	40	24	hepatitis	hepatitis	PROPN
ejpam-6481	40	25	b	b	PROPN
ejpam-6481	40	26	and	and	CCONJ
ejpam-6481	40	27	c	c	PROPN
ejpam-6481	40	28	in	in	ADP
ejpam-6481	40	29	the	the	DET
ejpam-6481	40	30	general	general	ADJ
ejpam-6481	40	31	population	population	NOUN
ejpam-6481	40	32	aged	age	VERB
ejpam-6481	40	33	15	15	NUM
ejpam-6481	40	34	and	and	CCONJ
ejpam-6481	40	35	older	old	ADJ
ejpam-6481	40	36	was	be	AUX
ejpam-6481	40	37	estimated	estimate	VERB
ejpam-6481	40	38	to	to	PART
ejpam-6481	40	39	be	be	AUX
ejpam-6481	40	40	2.5	2.5	NUM
ejpam-6481	40	41	%	%	NOUN
ejpam-6481	40	42	and	and	CCONJ
ejpam-6481	40	43	4.8	4.8	NUM
ejpam-6481	40	44	%	%	NOUN
ejpam-6481	40	45	,	,	PUNCT
ejpam-6481	40	46	respectively	respectively	ADV
ejpam-6481	40	47	[	[	X
ejpam-6481	40	48	10	10	NUM
ejpam-6481	40	49	]	]	PUNCT
ejpam-6481	40	50	.	.	PUNCT
ejpam-6481	41	1	it	it	PRON
ejpam-6481	41	2	is	be	AUX
ejpam-6481	41	3	crucial	crucial	ADJ
ejpam-6481	41	4	to	to	PART
ejpam-6481	41	5	remember	remember	VERB
ejpam-6481	41	6	that	that	SCONJ
ejpam-6481	41	7	when	when	SCONJ
ejpam-6481	41	8	real	real	ADJ
ejpam-6481	41	9	-	-	PUNCT
ejpam-6481	41	10	world	world	NOUN
ejpam-6481	41	11	issues	issue	NOUN
ejpam-6481	41	12	are	be	AUX
ejpam-6481	41	13	represented	represent	VERB
ejpam-6481	41	14	in	in	ADP
ejpam-6481	41	15	terms	term	NOUN
ejpam-6481	41	16	of	of	ADP
ejpam-6481	41	17	mathematical	mathematical	ADJ
ejpam-6481	41	18	equations	equation	NOUN
ejpam-6481	41	19	,	,	PUNCT
ejpam-6481	41	20	they	they	PRON
ejpam-6481	41	21	become	become	VERB
ejpam-6481	41	22	more	more	ADV
ejpam-6481	41	23	effective	effective	ADJ
ejpam-6481	41	24	instruments	instrument	NOUN
ejpam-6481	41	25	for	for	ADP
ejpam-6481	41	26	comprehending	comprehend	VERB
ejpam-6481	41	27	phenomena	phenomenon	NOUN
ejpam-6481	41	28	.	.	PUNCT
ejpam-6481	42	1	the	the	DET
ejpam-6481	42	2	study	study	NOUN
ejpam-6481	42	3	of	of	ADP
ejpam-6481	42	4	mathematical	mathematical	ADJ
ejpam-6481	42	5	epidemiology	epidemiology	NOUN
ejpam-6481	42	6	has	have	AUX
ejpam-6481	42	7	drawn	draw	VERB
ejpam-6481	42	8	much	much	ADV
ejpam-6481	42	9	more	more	ADJ
ejpam-6481	42	10	attention	attention	NOUN
ejpam-6481	42	11	in	in	ADP
ejpam-6481	42	12	the	the	DET
ejpam-6481	42	13	last	last	ADJ
ejpam-6481	42	14	200	200	NUM
ejpam-6481	42	15	years	year	NOUN
ejpam-6481	43	1	[	[	X
ejpam-6481	43	2	11	11	NUM
ejpam-6481	43	3	]	]	PUNCT
ejpam-6481	43	4	.	.	PUNCT
ejpam-6481	44	1	numerous	numerous	ADJ
ejpam-6481	44	2	infectious	infectious	ADJ
ejpam-6481	44	3	diseases	disease	NOUN
ejpam-6481	44	4	have	have	AUX
ejpam-6481	44	5	been	be	AUX
ejpam-6481	44	6	studied	study	VERB
ejpam-6481	44	7	using	use	VERB
ejpam-6481	44	8	the	the	DET
ejpam-6481	44	9	concept	concept	NOUN
ejpam-6481	44	10	of	of	ADP
ejpam-6481	44	11	mathematical	mathematical	ADJ
ejpam-6481	44	12	biology	biology	NOUN
ejpam-6481	44	13	.	.	PUNCT
ejpam-6481	45	1	much	much	ADJ
ejpam-6481	45	2	research	research	NOUN
ejpam-6481	45	3	effort	effort	NOUN
ejpam-6481	45	4	has	have	AUX
ejpam-6481	45	5	been	be	AUX
ejpam-6481	45	6	focused	focus	VERB
ejpam-6481	45	7	on	on	ADP
ejpam-6481	45	8	the	the	DET
ejpam-6481	45	9	aforementioned	aforementioned	ADJ
ejpam-6481	45	10	field	field	NOUN
ejpam-6481	45	11	.	.	PUNCT
ejpam-6481	46	1	kermack	kermack	NOUN
ejpam-6481	46	2	-	-	PUNCT
ejpam-6481	46	3	mckendrick	mckendrick	NOUN
ejpam-6481	46	4	created	create	VERB
ejpam-6481	46	5	a	a	DET
ejpam-6481	46	6	simple	simple	ADJ
ejpam-6481	46	7	mathematical	mathematical	ADJ
ejpam-6481	46	8	model	model	NOUN
ejpam-6481	46	9	called	call	VERB
ejpam-6481	46	10	susceptible	susceptible	ADJ
ejpam-6481	46	11	,	,	PUNCT
ejpam-6481	46	12	infected	infected	ADJ
ejpam-6481	46	13	,	,	PUNCT
ejpam-6481	46	14	and	and	CCONJ
ejpam-6481	46	15	recovered	recover	VERB
ejpam-6481	46	16	(	(	PUNCT
ejpam-6481	46	17	sir	sir	NOUN
ejpam-6481	46	18	)	)	PUNCT
ejpam-6481	46	19	.	.	PUNCT
ejpam-6481	47	1	only	only	ADV
ejpam-6481	47	2	infection	infection	NOUN
ejpam-6481	47	3	and	and	CCONJ
ejpam-6481	47	4	removal	removal	NOUN
ejpam-6481	47	5	events	event	NOUN
ejpam-6481	47	6	are	be	AUX
ejpam-6481	47	7	included	include	VERB
ejpam-6481	47	8	in	in	ADP
ejpam-6481	47	9	this	this	DET
ejpam-6481	47	10	model	model	NOUN
ejpam-6481	47	11	,	,	PUNCT
ejpam-6481	47	12	which	which	PRON
ejpam-6481	47	13	is	be	AUX
ejpam-6481	47	14	adequate	adequate	ADJ
ejpam-6481	47	15	to	to	PART
ejpam-6481	47	16	explain	explain	VERB
ejpam-6481	47	17	a	a	DET
ejpam-6481	47	18	basic	basic	ADJ
ejpam-6481	47	19	epidemic	epidemic	NOUN
ejpam-6481	47	20	,	,	PUNCT
ejpam-6481	47	21	including	include	VERB
ejpam-6481	47	22	the	the	DET
ejpam-6481	47	23	threshold	threshold	NOUN
ejpam-6481	47	24	condition	condition	NOUN
ejpam-6481	47	25	required	require	VERB
ejpam-6481	47	26	for	for	ADP
ejpam-6481	47	27	an	an	DET
ejpam-6481	47	28	epidemic	epidemic	NOUN
ejpam-6481	47	29	to	to	PART
ejpam-6481	47	30	start	start	VERB
ejpam-6481	47	31	(	(	PUNCT
ejpam-6481	47	32	see	see	VERB
ejpam-6481	47	33	[	[	X
ejpam-6481	47	34	12	12	NUM
ejpam-6481	47	35	]	]	NUM
ejpam-6481	47	36	)	)	PUNCT
ejpam-6481	47	37	.	.	PUNCT
ejpam-6481	48	1	mathematical	mathematical	ADJ
ejpam-6481	48	2	modeling	modeling	NOUN
ejpam-6481	48	3	is	be	AUX
ejpam-6481	48	4	a	a	DET
ejpam-6481	48	5	very	very	ADV
ejpam-6481	48	6	clever	clever	ADJ
ejpam-6481	48	7	tool	tool	NOUN
ejpam-6481	48	8	that	that	SCONJ
ejpam-6481	48	9	scientists	scientist	NOUN
ejpam-6481	48	10	and	and	CCONJ
ejpam-6481	48	11	engineers	engineer	NOUN
ejpam-6481	48	12	use	use	VERB
ejpam-6481	48	13	to	to	PART
ejpam-6481	48	14	solve	solve	VERB
ejpam-6481	48	15	real	real	ADJ
ejpam-6481	48	16	-	-	PUNCT
ejpam-6481	48	17	world	world	NOUN
ejpam-6481	48	18	problems	problem	NOUN
ejpam-6481	48	19	[	[	X
ejpam-6481	48	20	13	13	NUM
ejpam-6481	48	21	]	]	PUNCT
ejpam-6481	48	22	.	.	PUNCT
ejpam-6481	49	1	recently	recently	ADV
ejpam-6481	49	2	,	,	PUNCT
ejpam-6481	49	3	fractional	fractional	ADJ
ejpam-6481	49	4	calculus	calculus	NOUN
ejpam-6481	49	5	has	have	AUX
ejpam-6481	49	6	been	be	AUX
ejpam-6481	49	7	used	use	VERB
ejpam-6481	49	8	in	in	ADP
ejpam-6481	49	9	modeling	model	VERB
ejpam-6481	49	10	real	real	ADJ
ejpam-6481	49	11	world	world	NOUN
ejpam-6481	49	12	problems	problem	NOUN
ejpam-6481	49	13	interms	interm	NOUN
ejpam-6481	49	14	of	of	ADP
ejpam-6481	49	15	fractional	fractional	ADJ
ejpam-6481	49	16	difference	difference	NOUN
ejpam-6481	49	17	equations	equation	NOUN
ejpam-6481	49	18	(	(	PUNCT
ejpam-6481	49	19	fdes	fde	NOUN
ejpam-6481	49	20	)	)	PUNCT
ejpam-6481	49	21	.	.	PUNCT
ejpam-6481	50	1	the	the	DET
ejpam-6481	50	2	literature	literature	NOUN
ejpam-6481	50	3	has	have	AUX
ejpam-6481	50	4	put	put	VERB
ejpam-6481	50	5	forth	forth	ADP
ejpam-6481	50	6	a	a	DET
ejpam-6481	50	7	number	number	NOUN
ejpam-6481	50	8	of	of	ADP
ejpam-6481	50	9	definitions	definition	NOUN
ejpam-6481	50	10	of	of	ADP
ejpam-6481	50	11	fractional	fractional	ADJ
ejpam-6481	50	12	-	-	PUNCT
ejpam-6481	50	13	order	order	NOUN
ejpam-6481	50	14	operators	operator	NOUN
ejpam-6481	50	15	,	,	PUNCT
ejpam-6481	50	16	each	each	PRON
ejpam-6481	50	17	with	with	ADP
ejpam-6481	50	18	unique	unique	ADJ
ejpam-6481	50	19	advantages	advantage	NOUN
ejpam-6481	50	20	and	and	CCONJ
ejpam-6481	50	21	disadvantages	disadvantage	NOUN
ejpam-6481	50	22	.	.	PUNCT
ejpam-6481	51	1	as	as	ADP
ejpam-6481	51	2	a	a	DET
ejpam-6481	51	3	logical	logical	ADJ
ejpam-6481	51	4	progression	progression	NOUN
ejpam-6481	51	5	of	of	ADP
ejpam-6481	51	6	the	the	DET
ejpam-6481	51	7	integer	integer	NOUN
ejpam-6481	51	8	-	-	PUNCT
ejpam-6481	51	9	order	order	NOUN
ejpam-6481	51	10	difference	difference	NOUN
ejpam-6481	51	11	equation	equation	NOUN
ejpam-6481	51	12	,	,	PUNCT
ejpam-6481	51	13	one	one	NUM
ejpam-6481	51	14	such	such	ADJ
ejpam-6481	51	15	operator	operator	NOUN
ejpam-6481	51	16	is	be	AUX
ejpam-6481	51	17	called	call	VERB
ejpam-6481	51	18	a	a	DET
ejpam-6481	51	19	fractional	fractional	ADJ
ejpam-6481	51	20	-	-	PUNCT
ejpam-6481	51	21	order	order	NOUN
ejpam-6481	51	22	discrete	discrete	ADJ
ejpam-6481	51	23	difference	difference	NOUN
ejpam-6481	51	24	operas	opera	NOUN
ejpam-6481	51	25	.	.	PUNCT
ejpam-6481	52	1	a.shah	a.shah	PROPN
ejpam-6481	52	2	et	et	PROPN
ejpam-6481	52	3	al	al	PROPN
ejpam-6481	52	4	.	.	PUNCT
ejpam-6481	52	5	/	/	SYM
ejpam-6481	52	6	eur	eur	PROPN
ejpam-6481	52	7	.	.	PUNCT
ejpam-6481	53	1	j.	j.	PROPN
ejpam-6481	53	2	pure	pure	PROPN
ejpam-6481	53	3	appl	appl	PROPN
ejpam-6481	53	4	.	.	PROPN
ejpam-6481	53	5	math	math	PROPN
ejpam-6481	53	6	,	,	PUNCT
ejpam-6481	53	7	18	18	NUM
ejpam-6481	53	8	(	(	PUNCT
ejpam-6481	53	9	3	3	NUM
ejpam-6481	53	10	)	)	PUNCT
ejpam-6481	53	11	(	(	PUNCT
ejpam-6481	53	12	2025	2025	NUM
ejpam-6481	53	13	)	)	PUNCT
ejpam-6481	53	14	,	,	PUNCT
ejpam-6481	53	15	6481	6481	NUM
ejpam-6481	53	16	3	3	NUM
ejpam-6481	53	17	of	of	ADP
ejpam-6481	53	18	19	19	NUM
ejpam-6481	53	19	tor	tor	NOUN
ejpam-6481	53	20	.	.	PUNCT
ejpam-6481	54	1	since	since	SCONJ
ejpam-6481	54	2	real	real	ADJ
ejpam-6481	54	3	-	-	PUNCT
ejpam-6481	54	4	world	world	NOUN
ejpam-6481	54	5	data	datum	NOUN
ejpam-6481	54	6	is	be	AUX
ejpam-6481	54	7	usually	usually	ADV
ejpam-6481	54	8	in	in	ADP
ejpam-6481	54	9	discrete	discrete	ADJ
ejpam-6481	54	10	form	form	NOUN
ejpam-6481	54	11	,	,	PUNCT
ejpam-6481	54	12	these	these	DET
ejpam-6481	54	13	operators	operator	NOUN
ejpam-6481	54	14	work	work	VERB
ejpam-6481	54	15	incredibly	incredibly	ADV
ejpam-6481	54	16	well	well	ADV
ejpam-6481	54	17	for	for	ADP
ejpam-6481	54	18	researching	research	VERB
ejpam-6481	54	19	real	real	ADJ
ejpam-6481	54	20	-	-	PUNCT
ejpam-6481	54	21	world	world	NOUN
ejpam-6481	54	22	phenomena	phenomenon	NOUN
ejpam-6481	54	23	since	since	SCONJ
ejpam-6481	54	24	they	they	PRON
ejpam-6481	54	25	produce	produce	VERB
ejpam-6481	54	26	output	output	NOUN
ejpam-6481	54	27	in	in	ADP
ejpam-6481	54	28	the	the	DET
ejpam-6481	54	29	discrete	discrete	ADJ
ejpam-6481	54	30	form	form	NOUN
ejpam-6481	54	31	.	.	PUNCT
ejpam-6481	55	1	image	image	NOUN
ejpam-6481	55	2	processing[14	processing[14	PROPN
ejpam-6481	55	3	]	]	PUNCT
ejpam-6481	55	4	,	,	PUNCT
ejpam-6481	55	5	game	game	NOUN
ejpam-6481	55	6	theory[15	theory[15	NOUN
ejpam-6481	55	7	]	]	PUNCT
ejpam-6481	55	8	,	,	PUNCT
ejpam-6481	55	9	ecology[16	ecology[16	PROPN
ejpam-6481	55	10	]	]	X
ejpam-6481	55	11	,	,	PUNCT
ejpam-6481	55	12	neural	neural	ADJ
ejpam-6481	55	13	networks[17	networks[17	PROPN
ejpam-6481	55	14	]	]	X
ejpam-6481	55	15	,	,	PUNCT
ejpam-6481	55	16	epidemiology[18	epidemiology[18	PROPN
ejpam-6481	55	17	]	]	PUNCT
ejpam-6481	55	18	,	,	PUNCT
ejpam-6481	55	19	economics[19	economics[19	NOUN
ejpam-6481	55	20	]	]	X
ejpam-6481	55	21	,	,	PUNCT
ejpam-6481	55	22	and	and	CCONJ
ejpam-6481	55	23	electrical	electrical	ADJ
ejpam-6481	55	24	engineering[20	engineering[20	NOUN
ejpam-6481	55	25	]	]	PUNCT
ejpam-6481	55	26	are	be	AUX
ejpam-6481	55	27	just	just	ADV
ejpam-6481	55	28	a	a	DET
ejpam-6481	55	29	few	few	ADJ
ejpam-6481	55	30	of	of	ADP
ejpam-6481	55	31	its	its	PRON
ejpam-6481	55	32	many	many	ADJ
ejpam-6481	55	33	uses	use	NOUN
ejpam-6481	55	34	.	.	PUNCT
ejpam-6481	56	1	recently	recently	ADV
ejpam-6481	56	2	,	,	PUNCT
ejpam-6481	56	3	researchers	researcher	NOUN
ejpam-6481	56	4	have	have	AUX
ejpam-6481	56	5	explored	explore	VERB
ejpam-6481	56	6	the	the	DET
ejpam-6481	56	7	area	area	NOUN
ejpam-6481	56	8	further	far	ADV
ejpam-6481	56	9	and	and	CCONJ
ejpam-6481	56	10	produced	produce	VERB
ejpam-6481	56	11	significant	significant	ADJ
ejpam-6481	56	12	results	result	NOUN
ejpam-6481	56	13	,	,	PUNCT
ejpam-6481	56	14	we	we	PRON
ejpam-6481	56	15	refer	refer	VERB
ejpam-6481	56	16	to	to	ADP
ejpam-6481	56	17	[	[	X
ejpam-6481	56	18	21	21	NUM
ejpam-6481	56	19	,	,	PUNCT
ejpam-6481	56	20	22	22	NUM
ejpam-6481	56	21	]	]	PUNCT
ejpam-6481	56	22	.	.	PUNCT
ejpam-6481	57	1	because	because	SCONJ
ejpam-6481	57	2	it	it	PRON
ejpam-6481	57	3	makes	make	VERB
ejpam-6481	57	4	it	it	PRON
ejpam-6481	57	5	easier	easy	ADJ
ejpam-6481	57	6	to	to	PART
ejpam-6481	57	7	evaluate	evaluate	VERB
ejpam-6481	57	8	experimental	experimental	ADJ
ejpam-6481	57	9	results	result	NOUN
ejpam-6481	57	10	and	and	CCONJ
ejpam-6481	57	11	comprehend	comprehend	VERB
ejpam-6481	57	12	the	the	DET
ejpam-6481	57	13	biological	biological	ADJ
ejpam-6481	57	14	mechanisms	mechanism	NOUN
ejpam-6481	57	15	driving	drive	VERB
ejpam-6481	57	16	epidemic	epidemic	NOUN
ejpam-6481	57	17	spread	spread	NOUN
ejpam-6481	57	18	,	,	PUNCT
ejpam-6481	57	19	mathematical	mathematical	ADJ
ejpam-6481	57	20	modeling	modeling	NOUN
ejpam-6481	57	21	is	be	AUX
ejpam-6481	57	22	a	a	DET
ejpam-6481	57	23	valuable	valuable	ADJ
ejpam-6481	57	24	tool	tool	NOUN
ejpam-6481	57	25	for	for	ADP
ejpam-6481	57	26	studying	study	VERB
ejpam-6481	57	27	virus	virus	NOUN
ejpam-6481	57	28	dynamics	dynamic	NOUN
ejpam-6481	57	29	.	.	PUNCT
ejpam-6481	58	1	theoretical	theoretical	ADJ
ejpam-6481	58	2	biologists	biologist	NOUN
ejpam-6481	58	3	can	can	AUX
ejpam-6481	58	4	better	well	ADV
ejpam-6481	58	5	understand	understand	VERB
ejpam-6481	58	6	the	the	DET
ejpam-6481	58	7	processes	process	NOUN
ejpam-6481	58	8	that	that	PRON
ejpam-6481	58	9	contribute	contribute	VERB
ejpam-6481	58	10	to	to	ADP
ejpam-6481	58	11	the	the	DET
ejpam-6481	58	12	disease	disease	NOUN
ejpam-6481	58	13	by	by	ADP
ejpam-6481	58	14	using	use	VERB
ejpam-6481	58	15	mathematical	mathematical	ADJ
ejpam-6481	58	16	models	model	NOUN
ejpam-6481	58	17	to	to	PART
ejpam-6481	58	18	study	study	VERB
ejpam-6481	58	19	the	the	DET
ejpam-6481	58	20	dynamics	dynamic	NOUN
ejpam-6481	58	21	of	of	ADP
ejpam-6481	58	22	the	the	DET
ejpam-6481	58	23	hepatitis	hepatitis	PROPN
ejpam-6481	58	24	b	b	PROPN
ejpam-6481	58	25	virus	virus	NOUN
ejpam-6481	58	26	.	.	PUNCT
ejpam-6481	59	1	numerous	numerous	ADJ
ejpam-6481	59	2	models	model	NOUN
ejpam-6481	59	3	have	have	AUX
ejpam-6481	59	4	been	be	AUX
ejpam-6481	59	5	proposed	propose	VERB
ejpam-6481	59	6	to	to	PART
ejpam-6481	59	7	comprehend	comprehend	VERB
ejpam-6481	59	8	the	the	DET
ejpam-6481	59	9	dynamics	dynamic	NOUN
ejpam-6481	59	10	of	of	ADP
ejpam-6481	59	11	hepatitis	hepatitis	PROPN
ejpam-6481	59	12	b	b	PROPN
ejpam-6481	59	13	and	and	CCONJ
ejpam-6481	59	14	c.	c.	NOUN
ejpam-6481	59	15	authors	author	NOUN
ejpam-6481	59	16	have	have	AUX
ejpam-6481	59	17	studied	study	VERB
ejpam-6481	59	18	the	the	DET
ejpam-6481	59	19	model	model	NOUN
ejpam-6481	59	20	[	[	X
ejpam-6481	59	21	23	23	NUM
ejpam-6481	59	22	]	]	PUNCT
ejpam-6481	59	23	for	for	ADP
ejpam-6481	59	24	hepatitis	hepatitis	PROPN
ejpam-6481	59	25	b	b	PROPN
ejpam-6481	59	26	and	and	CCONJ
ejpam-6481	59	27	c	c	PROPN
ejpam-6481	59	28	given	give	VERB
ejpam-6481	59	29	by	by	PROPN
ejpam-6481	59	30	ḣ(t	ḣ(t	NOUN
ejpam-6481	59	31	)	)	PUNCT
ejpam-6481	59	32	=	=	SYM
ejpam-6481	60	1	λ−	λ−	PROPN
ejpam-6481	60	2	δh	δh	ADP
ejpam-6481	60	3	−	−	PROPN
ejpam-6481	60	4	ηhv	ηhv	PROPN
ejpam-6481	60	5	,	,	PUNCT
ejpam-6481	60	6	i̇(t	i̇(t	NOUN
ejpam-6481	60	7	)	)	PUNCT
ejpam-6481	60	8	=	=	PUNCT
ejpam-6481	60	9	ηhv	ηhv	PROPN
ejpam-6481	60	10	−	−	PROPN
ejpam-6481	60	11	γi	γi	NOUN
ejpam-6481	60	12	,	,	PUNCT
ejpam-6481	60	13	v̇	v̇	PROPN
ejpam-6481	60	14	(	(	PUNCT
ejpam-6481	60	15	t	t	NOUN
ejpam-6481	60	16	)	)	PUNCT
ejpam-6481	60	17	=	=	VERB
ejpam-6481	61	1	λi	λi	ADP
ejpam-6481	61	2	−	−	PROPN
ejpam-6481	61	3	µv	µv	NOUN
ejpam-6481	61	4	,	,	PUNCT
ejpam-6481	61	5	h(0	h(0	PROPN
ejpam-6481	61	6	)	)	PUNCT
ejpam-6481	61	7	=	=	SYM
ejpam-6481	61	8	h0	h0	PROPN
ejpam-6481	61	9	,	,	PUNCT
ejpam-6481	61	10	i(0	i(0	PROPN
ejpam-6481	61	11	)	)	PUNCT
ejpam-6481	61	12	=	=	SYM
ejpam-6481	61	13	i0	i0	PROPN
ejpam-6481	61	14	,	,	PUNCT
ejpam-6481	61	15	v	v	X
ejpam-6481	61	16	(	(	PUNCT
ejpam-6481	61	17	0	0	NUM
ejpam-6481	61	18	)	)	PUNCT
ejpam-6481	61	19	=	=	SYM
ejpam-6481	61	20	v0	v0	NOUN
ejpam-6481	61	21	,	,	PUNCT
ejpam-6481	61	22	(	(	PUNCT
ejpam-6481	61	23	1	1	X
ejpam-6481	61	24	)	)	PUNCT
ejpam-6481	61	25	where	where	SCONJ
ejpam-6481	61	26	h	h	NOUN
ejpam-6481	61	27	stands	stand	VERB
ejpam-6481	61	28	for	for	ADP
ejpam-6481	61	29	healthy	healthy	ADJ
ejpam-6481	61	30	cells	cell	NOUN
ejpam-6481	61	31	,	,	PUNCT
ejpam-6481	61	32	i	i	PRON
ejpam-6481	61	33	for	for	ADP
ejpam-6481	61	34	infected	infected	ADJ
ejpam-6481	61	35	and	and	CCONJ
ejpam-6481	61	36	v	v	NOUN
ejpam-6481	61	37	for	for	ADP
ejpam-6481	61	38	virus	virus	NOUN
ejpam-6481	61	39	free	free	ADJ
ejpam-6481	61	40	cells	cell	NOUN
ejpam-6481	61	41	density	density	NOUN
ejpam-6481	61	42	respectively	respectively	ADV
ejpam-6481	61	43	.	.	PUNCT
ejpam-6481	62	1	λ	λ	NOUN
ejpam-6481	62	2	is	be	AUX
ejpam-6481	62	3	the	the	DET
ejpam-6481	62	4	birth	birth	NOUN
ejpam-6481	62	5	rate	rate	NOUN
ejpam-6481	62	6	,	,	PUNCT
ejpam-6481	62	7	η	η	PROPN
ejpam-6481	62	8	is	be	AUX
ejpam-6481	62	9	efficacy	efficacy	NOUN
ejpam-6481	62	10	rate	rate	NOUN
ejpam-6481	62	11	of	of	ADP
ejpam-6481	62	12	the	the	DET
ejpam-6481	62	13	process	process	NOUN
ejpam-6481	62	14	to	to	ADP
ejpam-6481	62	15	infection	infection	NOUN
ejpam-6481	62	16	,	,	PUNCT
ejpam-6481	62	17	δ	δ	PROPN
ejpam-6481	62	18	,	,	PUNCT
ejpam-6481	62	19	µ	µ	NOUN
ejpam-6481	62	20	and	and	CCONJ
ejpam-6481	62	21	γ	γ	PROPN
ejpam-6481	62	22	stand	stand	VERB
ejpam-6481	62	23	for	for	ADP
ejpam-6481	62	24	death	death	NOUN
ejpam-6481	62	25	rates	rate	NOUN
ejpam-6481	62	26	respectively	respectively	ADV
ejpam-6481	62	27	of	of	ADP
ejpam-6481	62	28	healthy	healthy	ADJ
ejpam-6481	62	29	,	,	PUNCT
ejpam-6481	62	30	infected	infected	ADJ
ejpam-6481	62	31	and	and	CCONJ
ejpam-6481	62	32	virus	virus	NOUN
ejpam-6481	62	33	free	free	ADJ
ejpam-6481	62	34	cells	cell	NOUN
ejpam-6481	62	35	respectively	respectively	ADV
ejpam-6481	62	36	.	.	PUNCT
ejpam-6481	63	1	in	in	ADP
ejpam-6481	63	2	addition	addition	NOUN
ejpam-6481	63	3	,	,	PUNCT
ejpam-6481	63	4	λ	λ	PROPN
ejpam-6481	63	5	is	be	AUX
ejpam-6481	63	6	the	the	DET
ejpam-6481	63	7	free	free	ADJ
ejpam-6481	63	8	virus	virus	NOUN
ejpam-6481	63	9	cell	cell	NOUN
ejpam-6481	63	10	production	production	NOUN
ejpam-6481	63	11	rate	rate	NOUN
ejpam-6481	63	12	.	.	PUNCT
ejpam-6481	64	1	we	we	PRON
ejpam-6481	64	2	extend	extend	VERB
ejpam-6481	64	3	the	the	DET
ejpam-6481	64	4	model	model	NOUN
ejpam-6481	64	5	(	(	PUNCT
ejpam-6481	64	6	1	1	NUM
ejpam-6481	64	7	)	)	PUNCT
ejpam-6481	64	8	under	under	ADP
ejpam-6481	64	9	the	the	DET
ejpam-6481	64	10	caputo	caputo	PROPN
ejpam-6481	64	11	fractional	fractional	PROPN
ejpam-6481	64	12	difference	difference	NOUN
ejpam-6481	64	13	operator	operator	NOUN
ejpam-6481	64	14	as	as	SCONJ
ejpam-6481	64	15	described	describe	VERB
ejpam-6481	64	16	by	by	NOUN
ejpam-6481	64	17	c∆ξh(t	c∆ξh(t	NOUN
ejpam-6481	64	18	)	)	PUNCT
ejpam-6481	64	19	=	=	PUNCT
ejpam-6481	65	1	λ−	λ−	PROPN
ejpam-6481	65	2	δh(t+	δh(t+	PROPN
ejpam-6481	65	3	ξ	ξ	PROPN
ejpam-6481	66	1	−	−	PROPN
ejpam-6481	66	2	1)−	1)−	NUM
ejpam-6481	66	3	ηh(t+	ηh(t+	PROPN
ejpam-6481	67	1	ξ	ξ	PROPN
ejpam-6481	68	1	−	−	PROPN
ejpam-6481	68	2	1)v	1)v	NUM
ejpam-6481	68	3	(	(	PUNCT
ejpam-6481	68	4	t+	t+	X
ejpam-6481	68	5	ξ	ξ	PROPN
ejpam-6481	68	6	−	−	PROPN
ejpam-6481	68	7	1	1	NUM
ejpam-6481	68	8	)	)	PUNCT
ejpam-6481	68	9	,	,	PUNCT
ejpam-6481	68	10	c∆ξi(t	c∆ξi(t	NOUN
ejpam-6481	68	11	)	)	PUNCT
ejpam-6481	68	12	=	=	SYM
ejpam-6481	68	13	ηh(t+	ηh(t+	PROPN
ejpam-6481	68	14	ξ	ξ	X
ejpam-6481	69	1	−	−	PROPN
ejpam-6481	69	2	1)v	1)v	NUM
ejpam-6481	69	3	(	(	PUNCT
ejpam-6481	69	4	t+	t+	X
ejpam-6481	69	5	ξ	ξ	X
ejpam-6481	69	6	−	−	PROPN
ejpam-6481	69	7	1)−	1)−	NUM
ejpam-6481	69	8	γi(t+	γi(t+	PROPN
ejpam-6481	69	9	ξ	ξ	PROPN
ejpam-6481	70	1	−	−	NOUN
ejpam-6481	70	2	1	1	NUM
ejpam-6481	70	3	)	)	PUNCT
ejpam-6481	70	4	,	,	PUNCT
ejpam-6481	70	5	c∆ξr(t	c∆ξr(t	NOUN
ejpam-6481	70	6	)	)	PUNCT
ejpam-6481	70	7	=	=	SYM
ejpam-6481	71	1	λi(t+	λi(t+	PROPN
ejpam-6481	72	1	ξ	ξ	X
ejpam-6481	73	1	−	−	PROPN
ejpam-6481	73	2	1)−	1)−	NUM
ejpam-6481	73	3	µv	µv	NOUN
ejpam-6481	73	4	(	(	PUNCT
ejpam-6481	73	5	t+	t+	NOUN
ejpam-6481	73	6	ξ	ξ	X
ejpam-6481	73	7	−	−	PROPN
ejpam-6481	73	8	1	1	NUM
ejpam-6481	73	9	)	)	PUNCT
ejpam-6481	73	10	,	,	PUNCT
ejpam-6481	73	11	(	(	PUNCT
ejpam-6481	73	12	2	2	X
ejpam-6481	73	13	)	)	PUNCT
ejpam-6481	73	14	where	where	SCONJ
ejpam-6481	73	15	t	t	PROPN
ejpam-6481	73	16	∈	∈	PROPN
ejpam-6481	74	1	[	[	X
ejpam-6481	74	2	0	0	NUM
ejpam-6481	74	3	,	,	PUNCT
ejpam-6481	74	4	b]n0	b]n0	NOUN
ejpam-6481	74	5	.	.	PUNCT
ejpam-6481	75	1	we	we	PRON
ejpam-6481	75	2	describe	describe	VERB
ejpam-6481	75	3	the	the	DET
ejpam-6481	75	4	formulation	formulation	NOUN
ejpam-6481	75	5	(	(	PUNCT
ejpam-6481	75	6	2	2	NUM
ejpam-6481	75	7	)	)	PUNCT
ejpam-6481	75	8	in	in	ADP
ejpam-6481	75	9	schematic	schematic	ADJ
ejpam-6481	75	10	diagram	diagram	NOUN
ejpam-6481	75	11	as	as	SCONJ
ejpam-6481	75	12	given	give	VERB
ejpam-6481	75	13	in	in	ADP
ejpam-6481	75	14	figure	figure	NOUN
ejpam-6481	75	15	1	1	NUM
ejpam-6481	75	16	.	.	PUNCT
ejpam-6481	76	1	s.	s.	PROPN
ejpam-6481	76	2	a.shah	a.shah	PROPN
ejpam-6481	76	3	et	et	PROPN
ejpam-6481	76	4	al	al	PROPN
ejpam-6481	76	5	.	.	PUNCT
ejpam-6481	76	6	/	/	SYM
ejpam-6481	76	7	eur	eur	PROPN
ejpam-6481	76	8	.	.	PUNCT
ejpam-6481	77	1	j.	j.	PROPN
ejpam-6481	77	2	pure	pure	PROPN
ejpam-6481	77	3	appl	appl	PROPN
ejpam-6481	77	4	.	.	PROPN
ejpam-6481	77	5	math	math	PROPN
ejpam-6481	77	6	,	,	PUNCT
ejpam-6481	77	7	18	18	NUM
ejpam-6481	77	8	(	(	PUNCT
ejpam-6481	77	9	3	3	NUM
ejpam-6481	77	10	)	)	PUNCT
ejpam-6481	77	11	(	(	PUNCT
ejpam-6481	77	12	2025	2025	NUM
ejpam-6481	77	13	)	)	PUNCT
ejpam-6481	77	14	,	,	PUNCT
ejpam-6481	77	15	6481	6481	NUM
ejpam-6481	77	16	4	4	NUM
ejpam-6481	77	17	of	of	ADP
ejpam-6481	77	18	19	19	NUM
ejpam-6481	77	19	figure	figure	NOUN
ejpam-6481	77	20	1	1	NUM
ejpam-6481	77	21	:	:	PUNCT
ejpam-6481	77	22	schematic	schematic	ADJ
ejpam-6481	77	23	diagram	diagram	NOUN
ejpam-6481	77	24	of	of	ADP
ejpam-6481	77	25	model	model	NOUN
ejpam-6481	77	26	(	(	PUNCT
ejpam-6481	77	27	2	2	NUM
ejpam-6481	77	28	)	)	PUNCT
ejpam-6481	77	29	.	.	PUNCT
ejpam-6481	78	1	we	we	PRON
ejpam-6481	78	2	use	use	VERB
ejpam-6481	78	3	fixed	fix	VERB
ejpam-6481	78	4	point	point	NOUN
ejpam-6481	78	5	theorem	theorem	ADJ
ejpam-6481	78	6	to	to	PART
ejpam-6481	78	7	deduce	deduce	VERB
ejpam-6481	78	8	the	the	DET
ejpam-6481	78	9	existence	existence	NOUN
ejpam-6481	78	10	theory	theory	NOUN
ejpam-6481	78	11	for	for	ADP
ejpam-6481	78	12	model	model	NOUN
ejpam-6481	78	13	(	(	PUNCT
ejpam-6481	78	14	2	2	NUM
ejpam-6481	78	15	)	)	PUNCT
ejpam-6481	78	16	.	.	PUNCT
ejpam-6481	79	1	also	also	ADV
ejpam-6481	79	2	,	,	PUNCT
ejpam-6481	79	3	numerical	numerical	ADJ
ejpam-6481	79	4	analysis	analysis	NOUN
ejpam-6481	79	5	against	against	ADP
ejpam-6481	79	6	various	various	ADJ
ejpam-6481	79	7	fractional	fractional	ADJ
ejpam-6481	79	8	orders	order	NOUN
ejpam-6481	79	9	has	have	AUX
ejpam-6481	79	10	been	be	AUX
ejpam-6481	79	11	given	give	VERB
ejpam-6481	79	12	.	.	PUNCT
ejpam-6481	80	1	uh	uh	INTJ
ejpam-6481	80	2	stability	stability	NOUN
ejpam-6481	80	3	is	be	AUX
ejpam-6481	80	4	also	also	ADV
ejpam-6481	80	5	deduced	deduce	VERB
ejpam-6481	80	6	for	for	ADP
ejpam-6481	80	7	the	the	DET
ejpam-6481	80	8	considered	consider	VERB
ejpam-6481	80	9	model	model	NOUN
ejpam-6481	80	10	.	.	PUNCT
ejpam-6481	81	1	in	in	ADP
ejpam-6481	81	2	addition	addition	NOUN
ejpam-6481	81	3	,	,	PUNCT
ejpam-6481	81	4	in	in	ADP
ejpam-6481	81	5	recent	recent	ADJ
ejpam-6481	81	6	time	time	NOUN
ejpam-6481	81	7	ai	ai	VERB
ejpam-6481	81	8	tools	tool	NOUN
ejpam-6481	81	9	based	base	VERB
ejpam-6481	81	10	nns	nn	NOUN
ejpam-6481	81	11	have	have	AUX
ejpam-6481	81	12	attracted	attract	VERB
ejpam-6481	81	13	attention	attention	NOUN
ejpam-6481	81	14	to	to	ADP
ejpam-6481	81	15	use	use	VERB
ejpam-6481	81	16	in	in	ADP
ejpam-6481	81	17	investigation	investigation	NOUN
ejpam-6481	81	18	of	of	ADP
ejpam-6481	81	19	different	different	ADJ
ejpam-6481	81	20	epidemic	epidemic	NOUN
ejpam-6481	81	21	models	model	NOUN
ejpam-6481	81	22	.	.	PUNCT
ejpam-6481	82	1	large	large	ADJ
ejpam-6481	82	2	amounts	amount	NOUN
ejpam-6481	82	3	of	of	ADP
ejpam-6481	82	4	data	datum	NOUN
ejpam-6481	82	5	are	be	AUX
ejpam-6481	82	6	utilized	utilize	VERB
ejpam-6481	82	7	to	to	PART
ejpam-6481	82	8	train	train	VERB
ejpam-6481	82	9	data	data	NOUN
ejpam-6481	82	10	-	-	PUNCT
ejpam-6481	82	11	driven	drive	VERB
ejpam-6481	82	12	neural	neural	ADJ
ejpam-6481	82	13	networks	network	NOUN
ejpam-6481	82	14	,	,	PUNCT
ejpam-6481	82	15	which	which	PRON
ejpam-6481	82	16	can	can	AUX
ejpam-6481	82	17	be	be	AUX
ejpam-6481	82	18	used	use	VERB
ejpam-6481	82	19	to	to	PART
ejpam-6481	82	20	build	build	VERB
ejpam-6481	82	21	mathematical	mathematical	ADJ
ejpam-6481	82	22	models	model	NOUN
ejpam-6481	82	23	and	and	CCONJ
ejpam-6481	82	24	solve	solve	VERB
ejpam-6481	82	25	inverse	inverse	NOUN
ejpam-6481	82	26	problems	problem	NOUN
ejpam-6481	82	27	[	[	X
ejpam-6481	82	28	24	24	NUM
ejpam-6481	82	29	]	]	PUNCT
ejpam-6481	82	30	.	.	PUNCT
ejpam-6481	83	1	data	data	NOUN
ejpam-6481	83	2	-	-	PUNCT
ejpam-6481	83	3	driven	drive	VERB
ejpam-6481	83	4	neural	neural	ADJ
ejpam-6481	83	5	networks	network	NOUN
ejpam-6481	83	6	can	can	AUX
ejpam-6481	83	7	assist	assist	VERB
ejpam-6481	83	8	in	in	ADP
ejpam-6481	83	9	improving	improve	VERB
ejpam-6481	83	10	the	the	DET
ejpam-6481	83	11	current	current	ADJ
ejpam-6481	83	12	models	model	NOUN
ejpam-6481	83	13	and	and	CCONJ
ejpam-6481	83	14	equations	equation	NOUN
ejpam-6481	83	15	and	and	CCONJ
ejpam-6481	83	16	obtaining	obtain	VERB
ejpam-6481	83	17	an	an	DET
ejpam-6481	83	18	equation	equation	NOUN
ejpam-6481	83	19	that	that	PRON
ejpam-6481	83	20	describes	describe	VERB
ejpam-6481	83	21	the	the	DET
ejpam-6481	83	22	process	process	NOUN
ejpam-6481	83	23	being	be	AUX
ejpam-6481	83	24	studied	study	VERB
ejpam-6481	83	25	.	.	PUNCT
ejpam-6481	84	1	deep	deep	ADJ
ejpam-6481	84	2	learning	learning	NOUN
ejpam-6481	84	3	techniques	technique	NOUN
ejpam-6481	84	4	can	can	AUX
ejpam-6481	84	5	be	be	AUX
ejpam-6481	84	6	used	use	VERB
ejpam-6481	84	7	to	to	PART
ejpam-6481	84	8	do	do	VERB
ejpam-6481	84	9	this	this	PRON
ejpam-6481	84	10	.	.	PUNCT
ejpam-6481	85	1	for	for	ADP
ejpam-6481	85	2	instance	instance	NOUN
ejpam-6481	85	3	,	,	PUNCT
ejpam-6481	85	4	authors	author	NOUN
ejpam-6481	85	5	[	[	X
ejpam-6481	85	6	25	25	NUM
ejpam-6481	85	7	]	]	PUNCT
ejpam-6481	85	8	was	be	AUX
ejpam-6481	85	9	suggested	suggest	VERB
ejpam-6481	85	10	to	to	PART
ejpam-6481	85	11	use	use	VERB
ejpam-6481	85	12	deep	deep	ADJ
ejpam-6481	85	13	learning	learning	NOUN
ejpam-6481	85	14	to	to	PART
ejpam-6481	85	15	forecast	forecast	VERB
ejpam-6481	85	16	how	how	SCONJ
ejpam-6481	85	17	many	many	ADJ
ejpam-6481	85	18	people	people	NOUN
ejpam-6481	85	19	in	in	ADP
ejpam-6481	85	20	various	various	ADJ
ejpam-6481	85	21	parts	part	NOUN
ejpam-6481	85	22	of	of	ADP
ejpam-6481	85	23	the	the	DET
ejpam-6481	85	24	us	us	PROPN
ejpam-6481	85	25	would	would	AUX
ejpam-6481	85	26	contract	contract	VERB
ejpam-6481	85	27	covid-19	covid-19	PROPN
ejpam-6481	85	28	and	and	CCONJ
ejpam-6481	85	29	pass	pass	VERB
ejpam-6481	85	30	away	away	ADV
ejpam-6481	85	31	over	over	ADP
ejpam-6481	85	32	the	the	DET
ejpam-6481	85	33	course	course	NOUN
ejpam-6481	85	34	of	of	ADP
ejpam-6481	85	35	one	one	NUM
ejpam-6481	85	36	to	to	PART
ejpam-6481	85	37	four	four	NUM
ejpam-6481	85	38	weeks	week	NOUN
ejpam-6481	85	39	.	.	PUNCT
ejpam-6481	86	1	ai	ai	AUX
ejpam-6481	86	2	models	model	NOUN
ejpam-6481	86	3	based	base	VERB
ejpam-6481	86	4	on	on	ADP
ejpam-6481	86	5	deep	deep	ADJ
ejpam-6481	86	6	neural	neural	ADJ
ejpam-6481	86	7	networks	network	NOUN
ejpam-6481	86	8	and	and	CCONJ
ejpam-6481	86	9	epidemic	epidemic	NOUN
ejpam-6481	86	10	compartmental	compartmental	NOUN
ejpam-6481	86	11	models	model	NOUN
ejpam-6481	86	12	based	base	VERB
ejpam-6481	86	13	on	on	ADP
ejpam-6481	86	14	differential	differential	ADJ
ejpam-6481	86	15	equations	equation	NOUN
ejpam-6481	86	16	are	be	AUX
ejpam-6481	86	17	effective	effective	ADJ
ejpam-6481	86	18	tools	tool	NOUN
ejpam-6481	86	19	for	for	ADP
ejpam-6481	86	20	assessing	assess	VERB
ejpam-6481	86	21	and	and	CCONJ
ejpam-6481	86	22	preventing	prevent	VERB
ejpam-6481	86	23	the	the	DET
ejpam-6481	86	24	spread	spread	NOUN
ejpam-6481	86	25	of	of	ADP
ejpam-6481	86	26	viral	viral	ADJ
ejpam-6481	86	27	infectious	infectious	ADJ
ejpam-6481	86	28	disease	disease	NOUN
ejpam-6481	86	29	like	like	ADP
ejpam-6481	86	30	hbv	hbv	NOUN
ejpam-6481	86	31	and	and	CCONJ
ejpam-6481	86	32	hcv	hcv	NOUN
ejpam-6481	86	33	.	.	PUNCT
ejpam-6481	87	1	however	however	ADV
ejpam-6481	87	2	,	,	PUNCT
ejpam-6481	87	3	the	the	DET
ejpam-6481	87	4	difficulties	difficulty	NOUN
ejpam-6481	87	5	in	in	ADP
ejpam-6481	87	6	estimating	estimate	VERB
ejpam-6481	87	7	parameters	parameter	NOUN
ejpam-6481	87	8	restrict	restrict	VERB
ejpam-6481	87	9	the	the	DET
ejpam-6481	87	10	potential	potential	NOUN
ejpam-6481	87	11	of	of	ADP
ejpam-6481	87	12	compartmental	compartmental	ADJ
ejpam-6481	87	13	models	model	NOUN
ejpam-6481	87	14	,	,	PUNCT
ejpam-6481	87	15	and	and	CCONJ
ejpam-6481	87	16	ai	ai	PRON
ejpam-6481	87	17	models	model	NOUN
ejpam-6481	87	18	are	be	AUX
ejpam-6481	87	19	unable	unable	ADJ
ejpam-6481	87	20	to	to	PART
ejpam-6481	87	21	identify	identify	VERB
ejpam-6481	87	22	the	the	DET
ejpam-6481	87	23	evolutionary	evolutionary	ADJ
ejpam-6481	87	24	pattern	pattern	NOUN
ejpam-6481	87	25	of	of	ADP
ejpam-6481	87	26	said	say	VERB
ejpam-6481	87	27	disease	disease	NOUN
ejpam-6481	87	28	and	and	CCONJ
ejpam-6481	87	29	are	be	AUX
ejpam-6481	87	30	not	not	PART
ejpam-6481	87	31	explainable	explainable	ADJ
ejpam-6481	87	32	[	[	X
ejpam-6481	87	33	26	26	NUM
ejpam-6481	87	34	,	,	PUNCT
ejpam-6481	87	35	27	27	NUM
ejpam-6481	87	36	]	]	PUNCT
ejpam-6481	87	37	.	.	PUNCT
ejpam-6481	88	1	the	the	DET
ejpam-6481	88	2	concerned	concerned	ADJ
ejpam-6481	88	3	nns	nn	NOUN
ejpam-6481	88	4	are	be	AUX
ejpam-6481	88	5	consisted	consist	VERB
ejpam-6481	88	6	on	on	ADP
ejpam-6481	88	7	multi	multi	ADJ
ejpam-6481	88	8	layers	layer	NOUN
ejpam-6481	88	9	including	include	VERB
ejpam-6481	88	10	input	input	NOUN
ejpam-6481	88	11	output	output	NOUN
ejpam-6481	88	12	layers	layer	NOUN
ejpam-6481	88	13	.	.	PUNCT
ejpam-6481	89	1	the	the	DET
ejpam-6481	89	2	structure	structure	NOUN
ejpam-6481	89	3	of	of	ADP
ejpam-6481	89	4	such	such	ADJ
ejpam-6481	89	5	nns	nn	NOUN
ejpam-6481	89	6	,	,	PUNCT
ejpam-6481	89	7	we	we	PRON
ejpam-6481	89	8	can	can	AUX
ejpam-6481	89	9	describe	describe	VERB
ejpam-6481	89	10	as	as	ADP
ejpam-6481	89	11	in	in	ADP
ejpam-6481	89	12	figure	figure	NOUN
ejpam-6481	89	13	3	3	NUM
ejpam-6481	89	14	.	.	PUNCT
ejpam-6481	90	1	s.	s.	PROPN
ejpam-6481	90	2	a.shah	a.shah	PROPN
ejpam-6481	90	3	et	et	PROPN
ejpam-6481	90	4	al	al	PROPN
ejpam-6481	90	5	.	.	PUNCT
ejpam-6481	90	6	/	/	SYM
ejpam-6481	90	7	eur	eur	PROPN
ejpam-6481	90	8	.	.	PUNCT
ejpam-6481	91	1	j.	j.	PROPN
ejpam-6481	91	2	pure	pure	PROPN
ejpam-6481	91	3	appl	appl	PROPN
ejpam-6481	91	4	.	.	PROPN
ejpam-6481	91	5	math	math	PROPN
ejpam-6481	91	6	,	,	PUNCT
ejpam-6481	91	7	18	18	NUM
ejpam-6481	91	8	(	(	PUNCT
ejpam-6481	91	9	3	3	NUM
ejpam-6481	91	10	)	)	PUNCT
ejpam-6481	91	11	(	(	PUNCT
ejpam-6481	91	12	2025	2025	NUM
ejpam-6481	91	13	)	)	PUNCT
ejpam-6481	91	14	,	,	PUNCT
ejpam-6481	91	15	6481	6481	NUM
ejpam-6481	91	16	5	5	NUM
ejpam-6481	91	17	of	of	ADP
ejpam-6481	91	18	19	19	NUM
ejpam-6481	91	19	figure	figure	NOUN
ejpam-6481	91	20	2	2	NUM
ejpam-6481	91	21	:	:	PUNCT
ejpam-6481	91	22	structure	structure	NOUN
ejpam-6481	91	23	of	of	ADP
ejpam-6481	91	24	nns	nn	NOUN
ejpam-6481	91	25	.	.	PUNCT
ejpam-6481	92	1	with	with	ADP
ejpam-6481	92	2	the	the	DET
ejpam-6481	92	3	help	help	NOUN
ejpam-6481	92	4	of	of	ADP
ejpam-6481	92	5	mentioned	mention	VERB
ejpam-6481	92	6	nns	nn	NOUN
ejpam-6481	92	7	,	,	PUNCT
ejpam-6481	92	8	we	we	PRON
ejpam-6481	92	9	deduce	deduce	VERB
ejpam-6481	92	10	some	some	DET
ejpam-6481	92	11	analysis	analysis	NOUN
ejpam-6481	92	12	for	for	ADP
ejpam-6481	92	13	the	the	DET
ejpam-6481	92	14	concerned	concerned	ADJ
ejpam-6481	92	15	model	model	NOUN
ejpam-6481	92	16	by	by	ADP
ejpam-6481	92	17	computing	compute	VERB
ejpam-6481	92	18	the	the	DET
ejpam-6481	92	19	root	root	NOUN
ejpam-6481	92	20	mean	mean	NOUN
ejpam-6481	92	21	square	square	PROPN
ejpam-6481	92	22	(	(	PUNCT
ejpam-6481	92	23	rms	rm	NOUN
ejpam-6481	92	24	)	)	PUNCT
ejpam-6481	92	25	and	and	CCONJ
ejpam-6481	92	26	mean	mean	VERB
ejpam-6481	92	27	square	square	ADJ
ejpam-6481	92	28	error	error	NOUN
ejpam-6481	92	29	(	(	PUNCT
ejpam-6481	92	30	mse	mse	NOUN
ejpam-6481	92	31	)	)	PUNCT
ejpam-6481	92	32	as	as	ADV
ejpam-6481	92	33	well	well	ADV
ejpam-6481	92	34	as	as	ADP
ejpam-6481	92	35	regression	regression	NOUN
ejpam-6481	92	36	coefficient	coefficient	PROPN
ejpam-6481	92	37	r.	r.	PROPN
ejpam-6481	92	38	neural	neural	PROPN
ejpam-6481	92	39	networks	network	NOUN
ejpam-6481	92	40	learn	learn	VERB
ejpam-6481	92	41	,	,	PUNCT
ejpam-6481	92	42	optimize	optimize	VERB
ejpam-6481	92	43	,	,	PUNCT
ejpam-6481	92	44	and	and	CCONJ
ejpam-6481	92	45	forecast	forecast	NOUN
ejpam-6481	92	46	using	use	VERB
ejpam-6481	92	47	a	a	DET
ejpam-6481	92	48	variety	variety	NOUN
ejpam-6481	92	49	of	of	ADP
ejpam-6481	92	50	algorithms	algorithm	NOUN
ejpam-6481	92	51	.	.	PUNCT
ejpam-6481	93	1	back	back	ADJ
ejpam-6481	93	2	propagation	propagation	NOUN
ejpam-6481	93	3	,	,	PUNCT
ejpam-6481	93	4	gradient	gradient	ADJ
ejpam-6481	93	5	descent	descent	NOUN
ejpam-6481	93	6	,	,	PUNCT
ejpam-6481	93	7	and	and	CCONJ
ejpam-6481	93	8	its	its	PRON
ejpam-6481	93	9	variations	variation	NOUN
ejpam-6481	93	10	,	,	PUNCT
ejpam-6481	93	11	such	such	ADJ
ejpam-6481	93	12	as	as	ADP
ejpam-6481	93	13	adam	adam	NOUN
ejpam-6481	93	14	and	and	CCONJ
ejpam-6481	93	15	stochastic	stochastic	ADJ
ejpam-6481	93	16	gradient	gradient	ADJ
ejpam-6481	93	17	descent	descent	NOUN
ejpam-6481	93	18	(	(	PUNCT
ejpam-6481	93	19	sgd	sgd	PROPN
ejpam-6481	93	20	)	)	PUNCT
ejpam-6481	93	21	,	,	PUNCT
ejpam-6481	93	22	are	be	AUX
ejpam-6481	93	23	important	important	ADJ
ejpam-6481	93	24	algorithms	algorithm	NOUN
ejpam-6481	93	25	.	.	PUNCT
ejpam-6481	94	1	convolutional	convolutional	ADJ
ejpam-6481	94	2	neural	neural	ADJ
ejpam-6481	94	3	networks	network	NOUN
ejpam-6481	94	4	(	(	PUNCT
ejpam-6481	94	5	cnns	cnns	PROPN
ejpam-6481	94	6	)	)	PUNCT
ejpam-6481	94	7	,	,	PUNCT
ejpam-6481	94	8	recurrent	recurrent	ADJ
ejpam-6481	94	9	neural	neural	ADJ
ejpam-6481	94	10	networks	network	NOUN
ejpam-6481	94	11	(	(	PUNCT
ejpam-6481	94	12	rnns	rnns	PROPN
ejpam-6481	94	13	)	)	PUNCT
ejpam-6481	94	14	,	,	PUNCT
ejpam-6481	94	15	and	and	CCONJ
ejpam-6481	94	16	long	long	ADJ
ejpam-6481	94	17	short	short	ADJ
ejpam-6481	94	18	-	-	PUNCT
ejpam-6481	94	19	term	term	NOUN
ejpam-6481	94	20	memory	memory	NOUN
ejpam-6481	94	21	(	(	PUNCT
ejpam-6481	94	22	lstm	lstm	NOUN
ejpam-6481	94	23	)	)	PUNCT
ejpam-6481	94	24	networks	network	NOUN
ejpam-6481	94	25	are	be	AUX
ejpam-6481	94	26	further	far	ADV
ejpam-6481	94	27	significant	significant	ADJ
ejpam-6481	94	28	methods	method	NOUN
ejpam-6481	94	29	.	.	PUNCT
ejpam-6481	95	1	neural	neural	ADJ
ejpam-6481	95	2	models	model	NOUN
ejpam-6481	95	3	are	be	AUX
ejpam-6481	95	4	trained	train	VERB
ejpam-6481	95	5	using	use	VERB
ejpam-6481	95	6	the	the	DET
ejpam-6481	95	7	livenersmarquardt	livenersmarquardt	ADJ
ejpam-6481	95	8	backward	backward	ADJ
ejpam-6481	95	9	propagation	propagation	NOUN
ejpam-6481	95	10	algorithm	algorithm	NOUN
ejpam-6481	95	11	(	(	PUNCT
ejpam-6481	95	12	lmba	lmba	NOUN
ejpam-6481	95	13	)	)	PUNCT
ejpam-6481	95	14	.	.	PUNCT
ejpam-6481	96	1	recently	recently	ADV
ejpam-6481	96	2	,	,	PUNCT
ejpam-6481	96	3	researchers	researcher	NOUN
ejpam-6481	96	4	have	have	AUX
ejpam-6481	96	5	used	use	VERB
ejpam-6481	96	6	nns	nn	NOUN
ejpam-6481	96	7	and	and	CCONJ
ejpam-6481	96	8	fractional	fractional	ADJ
ejpam-6481	96	9	calculus	calculus	NOUN
ejpam-6481	96	10	to	to	PART
ejpam-6481	96	11	investigate	investigate	VERB
ejpam-6481	96	12	various	various	ADJ
ejpam-6481	96	13	problems	problem	NOUN
ejpam-6481	96	14	,	,	PUNCT
ejpam-6481	96	15	we	we	PRON
ejpam-6481	96	16	refer	refer	VERB
ejpam-6481	96	17	to	to	ADP
ejpam-6481	96	18	[	[	X
ejpam-6481	96	19	28–30	28–30	NOUN
ejpam-6481	96	20	]	]	SYM
ejpam-6481	96	21	.	.	PUNCT
ejpam-6481	97	1	2	2	X
ejpam-6481	97	2	.	.	X
ejpam-6481	97	3	basic	basic	ADJ
ejpam-6481	97	4	results	result	NOUN
ejpam-6481	97	5	some	some	DET
ejpam-6481	97	6	basic	basic	ADJ
ejpam-6481	97	7	results	result	NOUN
ejpam-6481	97	8	are	be	AUX
ejpam-6481	97	9	demonstrated	demonstrate	VERB
ejpam-6481	97	10	below	below	ADV
ejpam-6481	97	11	.	.	PUNCT
ejpam-6481	98	1	definition	definition	NOUN
ejpam-6481	98	2	1	1	NUM
ejpam-6481	98	3	.	.	PUNCT
ejpam-6481	99	1	[	[	X
ejpam-6481	99	2	18	18	NUM
ejpam-6481	99	3	]	]	PUNCT
ejpam-6481	99	4	for	for	ADP
ejpam-6481	99	5	function	function	NOUN
ejpam-6481	99	6	χ(t	χ(t	NOUN
ejpam-6481	99	7	)	)	PUNCT
ejpam-6481	99	8	,	,	PUNCT
ejpam-6481	99	9	the	the	PRON
ejpam-6481	99	10	ξ	ξ	X
ejpam-6481	99	11	-	-	NOUN
ejpam-6481	99	12	cfdo	cfdo	NOUN
ejpam-6481	99	13	is	be	AUX
ejpam-6481	99	14	defined	define	VERB
ejpam-6481	99	15	by	by	ADP
ejpam-6481	99	16	c∆ξ	c∆ξ	NOUN
ejpam-6481	99	17	aχ(t	aχ(t	NOUN
ejpam-6481	99	18	)	)	PUNCT
ejpam-6481	100	1	=	=	SYM
ejpam-6481	100	2	∆−(n−ξ	∆−(n−ξ	X
ejpam-6481	100	3	)	)	PUNCT
ejpam-6481	100	4	a	a	DET
ejpam-6481	100	5	∆nχ(t	∆nχ(t	NOUN
ejpam-6481	100	6	)	)	PUNCT
ejpam-6481	100	7	=	=	SYM
ejpam-6481	100	8	1	1	NUM
ejpam-6481	100	9	γ(n−	γ(n−	PROPN
ejpam-6481	100	10	ξ	ξ	PROPN
ejpam-6481	100	11	)	)	PUNCT
ejpam-6481	100	12	t−(n−ξ)∑	t−(n−ξ)∑	PROPN
ejpam-6481	100	13	s	s	PART
ejpam-6481	100	14	=	=	NOUN
ejpam-6481	100	15	a	a	X
ejpam-6481	100	16	(	(	PUNCT
ejpam-6481	100	17	t−	t−	PROPN
ejpam-6481	100	18	s−	s−	PROPN
ejpam-6481	100	19	1)n−ξ−1∆nχ(s	1)n−ξ−1∆nχ(s	NUM
ejpam-6481	100	20	)	)	PUNCT
ejpam-6481	100	21	,	,	PUNCT
ejpam-6481	100	22	(	(	PUNCT
ejpam-6481	100	23	3	3	X
ejpam-6481	100	24	)	)	PUNCT
ejpam-6481	100	25	where	where	SCONJ
ejpam-6481	100	26	t	t	PROPN
ejpam-6481	100	27	∈	∈	PROPN
ejpam-6481	100	28	na+n−ξ	na+n−ξ	PROPN
ejpam-6481	100	29	,	,	PUNCT
ejpam-6481	100	30	n	n	NOUN
ejpam-6481	100	31	=	=	NOUN
ejpam-6481	100	32	⌈ξ⌉+1	⌈ξ⌉+1	NOUN
ejpam-6481	100	33	and	and	CCONJ
ejpam-6481	100	34	ξ	ξ	X
ejpam-6481	100	35	>	>	X
ejpam-6481	100	36	0	0	PUNCT
ejpam-6481	100	37	with	with	ADP
ejpam-6481	100	38	ξ	ξ	PROPN
ejpam-6481	100	39	/∈	/∈	PUNCT
ejpam-6481	100	40	n	n	PROPN
ejpam-6481	100	41	and	and	CCONJ
ejpam-6481	100	42	(	(	PUNCT
ejpam-6481	100	43	t−	t−	PROPN
ejpam-6481	100	44	1−	1−	NUM
ejpam-6481	100	45	s)(n−ξ−1	s)(n−ξ−1	PROPN
ejpam-6481	100	46	)	)	PUNCT
ejpam-6481	100	47	,	,	PUNCT
ejpam-6481	100	48	while	while	SCONJ
ejpam-6481	100	49	the	the	DET
ejpam-6481	100	50	n	n	CCONJ
ejpam-6481	100	51	-	-	PUNCT
ejpam-6481	100	52	the	the	DET
ejpam-6481	100	53	integer	integer	NOUN
ejpam-6481	100	54	difference	difference	NOUN
ejpam-6481	100	55	operator	operator	NOUN
ejpam-6481	100	56	denoted	denote	VERB
ejpam-6481	100	57	by	by	ADP
ejpam-6481	100	58	∆nχ(s	∆nχ(s	NOUN
ejpam-6481	100	59	)	)	PUNCT
ejpam-6481	100	60	which	which	PRON
ejpam-6481	100	61	can	can	AUX
ejpam-6481	100	62	be	be	AUX
ejpam-6481	100	63	expressed	express	VERB
ejpam-6481	100	64	as	as	SCONJ
ejpam-6481	100	65	follows	follow	VERB
ejpam-6481	100	66	:	:	PUNCT
ejpam-6481	100	67	(	(	PUNCT
ejpam-6481	100	68	t−	t−	PROPN
ejpam-6481	100	69	s−	s−	PROPN
ejpam-6481	100	70	1)(n−ξ−1	1)(n−ξ−1	NUM
ejpam-6481	100	71	)	)	PUNCT
ejpam-6481	100	72	=	=	SYM
ejpam-6481	100	73	γ(t−	γ(t−	PROPN
ejpam-6481	100	74	s	s	PART
ejpam-6481	100	75	)	)	PUNCT
ejpam-6481	100	76	γ(t−	γ(t−	NOUN
ejpam-6481	100	77	s−	s−	PROPN
ejpam-6481	100	78	n	n	PROPN
ejpam-6481	100	79	+	+	SYM
ejpam-6481	100	80	ξ	ξ	X
ejpam-6481	100	81	+	+	PROPN
ejpam-6481	100	82	1	1	NUM
ejpam-6481	100	83	)	)	PUNCT
ejpam-6481	100	84	,	,	PUNCT
ejpam-6481	100	85	(	(	PUNCT
ejpam-6481	100	86	4	4	NUM
ejpam-6481	100	87	)	)	PUNCT
ejpam-6481	100	88	and	and	CCONJ
ejpam-6481	100	89	∆nχ(t	∆nχ(t	NUM
ejpam-6481	100	90	)	)	PUNCT
ejpam-6481	100	91	=	=	SYM
ejpam-6481	100	92	∆(∆n−1χ(t	∆(∆n−1χ(t	NOUN
ejpam-6481	100	93	)	)	PUNCT
ejpam-6481	100	94	)	)	PUNCT
ejpam-6481	101	1	=	=	PUNCT
ejpam-6481	101	2	n∑	n∑	NOUN
ejpam-6481	101	3	k=0	k=0	PROPN
ejpam-6481	101	4	(	(	PUNCT
ejpam-6481	101	5	n	n	X
ejpam-6481	101	6	k	k	NOUN
ejpam-6481	101	7	)	)	PUNCT
ejpam-6481	101	8	(	(	PUNCT
ejpam-6481	101	9	−1)n−kχ(t+	−1)n−kχ(t+	NOUN
ejpam-6481	101	10	k	k	PROPN
ejpam-6481	101	11	)	)	PUNCT
ejpam-6481	101	12	,	,	PUNCT
ejpam-6481	101	13	t	t	PROPN
ejpam-6481	101	14	∈	∈	PROPN
ejpam-6481	101	15	na	na	PROPN
ejpam-6481	101	16	.	.	PUNCT
ejpam-6481	102	1	(	(	PUNCT
ejpam-6481	102	2	5	5	X
ejpam-6481	102	3	)	)	PUNCT
ejpam-6481	102	4	s.	s.	PROPN
ejpam-6481	102	5	a.shah	a.shah	PROPN
ejpam-6481	102	6	et	et	PROPN
ejpam-6481	102	7	al	al	PROPN
ejpam-6481	102	8	.	.	PUNCT
ejpam-6481	102	9	/	/	SYM
ejpam-6481	102	10	eur	eur	PROPN
ejpam-6481	102	11	.	.	PUNCT
ejpam-6481	103	1	j.	j.	PROPN
ejpam-6481	103	2	pure	pure	PROPN
ejpam-6481	103	3	appl	appl	PROPN
ejpam-6481	103	4	.	.	PROPN
ejpam-6481	103	5	math	math	PROPN
ejpam-6481	103	6	,	,	PUNCT
ejpam-6481	103	7	18	18	NUM
ejpam-6481	103	8	(	(	PUNCT
ejpam-6481	103	9	3	3	NUM
ejpam-6481	103	10	)	)	PUNCT
ejpam-6481	103	11	(	(	PUNCT
ejpam-6481	103	12	2025	2025	NUM
ejpam-6481	103	13	)	)	PUNCT
ejpam-6481	103	14	,	,	PUNCT
ejpam-6481	103	15	6481	6481	NUM
ejpam-6481	103	16	6	6	NUM
ejpam-6481	103	17	of	of	ADP
ejpam-6481	103	18	19	19	NUM
ejpam-6481	103	19	remark	remark	NOUN
ejpam-6481	103	20	1	1	NUM
ejpam-6481	103	21	.	.	PUNCT
ejpam-6481	104	1	for	for	ADP
ejpam-6481	104	2	n	n	NOUN
ejpam-6481	104	3	=	=	SYM
ejpam-6481	104	4	1	1	NUM
ejpam-6481	104	5	,	,	PUNCT
ejpam-6481	104	6	the	the	DET
ejpam-6481	104	7	ξ	ξ	NOUN
ejpam-6481	104	8	-	-	NOUN
ejpam-6481	104	9	cfdo	cfdo	NOUN
ejpam-6481	104	10	is	be	AUX
ejpam-6481	104	11	defined	define	VERB
ejpam-6481	104	12	as	as	ADP
ejpam-6481	104	13	:	:	PUNCT
ejpam-6481	104	14	c∆ξ	c∆ξ	NOUN
ejpam-6481	104	15	af(t	af(t	NUM
ejpam-6481	105	1	)	)	PUNCT
ejpam-6481	105	2	=	=	SYM
ejpam-6481	105	3	∆−(1−ξ	∆−(1−ξ	NOUN
ejpam-6481	105	4	)	)	PUNCT
ejpam-6481	105	5	a	a	DET
ejpam-6481	105	6	∆χ(t	∆χ(t	PROPN
ejpam-6481	105	7	)	)	PUNCT
ejpam-6481	105	8	=	=	SYM
ejpam-6481	105	9	1	1	NUM
ejpam-6481	105	10	γ(1−	γ(1−	SYM
ejpam-6481	105	11	ξ	ξ	NUM
ejpam-6481	105	12	)	)	PUNCT
ejpam-6481	105	13	t−(1−ξ)∑	t−(1−ξ)∑	NOUN
ejpam-6481	105	14	s	s	NOUN
ejpam-6481	105	15	=	=	NOUN
ejpam-6481	105	16	a	a	X
ejpam-6481	105	17	(	(	PUNCT
ejpam-6481	105	18	t−	t−	PROPN
ejpam-6481	105	19	s−	s−	PROPN
ejpam-6481	105	20	1)−ξ∆χ(s	1)−ξ∆χ(s	NUM
ejpam-6481	105	21	)	)	PUNCT
ejpam-6481	105	22	,	,	PUNCT
ejpam-6481	105	23	(	(	PUNCT
ejpam-6481	105	24	6	6	NUM
ejpam-6481	105	25	)	)	PUNCT
ejpam-6481	105	26	where	where	SCONJ
ejpam-6481	105	27	t	t	PROPN
ejpam-6481	105	28	∈	∈	PROPN
ejpam-6481	105	29	na+1−ξ	na+1−ξ	NOUN
ejpam-6481	105	30	.	.	PUNCT
ejpam-6481	106	1	definition	definition	NOUN
ejpam-6481	106	2	2	2	NUM
ejpam-6481	106	3	.	.	PUNCT
ejpam-6481	107	1	[	[	X
ejpam-6481	107	2	18	18	NUM
ejpam-6481	107	3	]	]	PUNCT
ejpam-6481	107	4	with	with	ADP
ejpam-6481	107	5	the	the	DET
ejpam-6481	107	6	mapping	mapping	NOUN
ejpam-6481	107	7	χ	χ	NOUN
ejpam-6481	107	8	:	:	PUNCT
ejpam-6481	107	9	na	na	X
ejpam-6481	107	10	→	→	SYM
ejpam-6481	107	11	r	r	NOUN
ejpam-6481	107	12	,	,	PUNCT
ejpam-6481	107	13	let	let	VERB
ejpam-6481	107	14	χ(t	χ(t	NOUN
ejpam-6481	107	15	)	)	PUNCT
ejpam-6481	107	16	be	be	VERB
ejpam-6481	107	17	a	a	DET
ejpam-6481	107	18	function	function	NOUN
ejpam-6481	107	19	defined	define	VERB
ejpam-6481	107	20	on	on	ADP
ejpam-6481	107	21	na	na	PART
ejpam-6481	107	22	.	.	PUNCT
ejpam-6481	108	1	the	the	DET
ejpam-6481	108	2	following	follow	VERB
ejpam-6481	108	3	is	be	AUX
ejpam-6481	108	4	the	the	DET
ejpam-6481	108	5	definition	definition	NOUN
ejpam-6481	108	6	of	of	ADP
ejpam-6481	108	7	the	the	DET
ejpam-6481	108	8	ξ	ξ	NOUN
ejpam-6481	108	9	-	-	DET
ejpam-6481	108	10	the	the	DET
ejpam-6481	108	11	fractional	fractional	ADJ
ejpam-6481	108	12	sum	sum	NOUN
ejpam-6481	108	13	of	of	ADP
ejpam-6481	108	14	f	f	PROPN
ejpam-6481	108	15	in	in	ADP
ejpam-6481	108	16	this	this	DET
ejpam-6481	108	17	context	context	NOUN
ejpam-6481	108	18	:	:	PUNCT
ejpam-6481	108	19	∆−ξχ(t	∆−ξχ(t	NOUN
ejpam-6481	108	20	)	)	PUNCT
ejpam-6481	108	21	=	=	SYM
ejpam-6481	108	22	1	1	NUM
ejpam-6481	108	23	γ(ξ	γ(ξ	PROPN
ejpam-6481	108	24	)	)	PUNCT
ejpam-6481	108	25	t−ξ∑	t−ξ∑	ADP
ejpam-6481	108	26	s	s	PROPN
ejpam-6481	108	27	=	=	SYM
ejpam-6481	108	28	a	a	PRON
ejpam-6481	108	29	(	(	PUNCT
ejpam-6481	108	30	t−	t−	PROPN
ejpam-6481	108	31	s−	s−	PROPN
ejpam-6481	108	32	1)ξ−1χ(s	1)ξ−1χ(s	NUM
ejpam-6481	108	33	)	)	PUNCT
ejpam-6481	108	34	,	,	PUNCT
ejpam-6481	108	35	(	(	PUNCT
ejpam-6481	108	36	7	7	X
ejpam-6481	108	37	)	)	PUNCT
ejpam-6481	108	38	where	where	SCONJ
ejpam-6481	108	39	ξ	ξ	X
ejpam-6481	108	40	>	>	X
ejpam-6481	108	41	0	0	NUM
ejpam-6481	108	42	,	,	PUNCT
ejpam-6481	108	43	t	t	PROPN
ejpam-6481	108	44	∈	∈	PROPN
ejpam-6481	108	45	nb+ξ	nb+ξ	PROPN
ejpam-6481	108	46	=	=	PRON
ejpam-6481	108	47	{	{	PUNCT
ejpam-6481	108	48	b+	b+	X
ejpam-6481	108	49	ξ	ξ	NUM
ejpam-6481	108	50	,	,	PUNCT
ejpam-6481	108	51	b+	b+	X
ejpam-6481	108	52	ξ	ξ	X
ejpam-6481	108	53	+	+	NUM
ejpam-6481	108	54	1	1	NUM
ejpam-6481	108	55	,	,	PUNCT
ejpam-6481	108	56	.	.	PUNCT
ejpam-6481	108	57	.	.	PUNCT
ejpam-6481	108	58	.	.	PUNCT
ejpam-6481	109	1	}	}	PUNCT
ejpam-6481	109	2	is	be	AUX
ejpam-6481	109	3	a	a	DET
ejpam-6481	109	4	time	time	NOUN
ejpam-6481	109	5	scale	scale	NOUN
ejpam-6481	109	6	and	and	CCONJ
ejpam-6481	109	7	b	b	PROPN
ejpam-6481	109	8	∈	∈	PROPN
ejpam-6481	109	9	r.	r.	PROPN
ejpam-6481	109	10	lemma	lemma	PROPN
ejpam-6481	110	1	1	1	NUM
ejpam-6481	110	2	.	.	PUNCT
ejpam-6481	111	1	[	[	X
ejpam-6481	111	2	19	19	NUM
ejpam-6481	111	3	]	]	X
ejpam-6481	111	4	let	let	VERB
ejpam-6481	111	5	ξ	ξ	X
ejpam-6481	111	6	>	>	PUNCT
ejpam-6481	111	7	0	0	PUNCT
ejpam-6481	111	8	and	and	CCONJ
ejpam-6481	111	9	χ	χ	PROPN
ejpam-6481	111	10	be	be	AUX
ejpam-6481	111	11	defined	define	VERB
ejpam-6481	111	12	on	on	ADP
ejpam-6481	111	13	na	na	ADP
ejpam-6481	111	14	,	,	PUNCT
ejpam-6481	111	15	then	then	ADV
ejpam-6481	111	16	:	:	PUNCT
ejpam-6481	111	17	∆−ξc∆ξχ(t	∆−ξc∆ξχ(t	X
ejpam-6481	111	18	)	)	PUNCT
ejpam-6481	112	1	=	=	SYM
ejpam-6481	112	2	χ(t)−	χ(t)−	PROPN
ejpam-6481	112	3	∑n−1	∑n−1	ADP
ejpam-6481	112	4	k=0	k=0	PROPN
ejpam-6481	112	5	(	(	PUNCT
ejpam-6481	112	6	t−b)(k	t−b)(k	NOUN
ejpam-6481	112	7	)	)	PUNCT
ejpam-6481	112	8	k	k	X
ejpam-6481	112	9	!	!	PUNCT
ejpam-6481	112	10	∆kh(b	∆kh(b	ADJ
ejpam-6481	112	11	)	)	PUNCT
ejpam-6481	113	1	=	=	SYM
ejpam-6481	113	2	f(t	f(t	NOUN
ejpam-6481	113	3	)	)	PUNCT
ejpam-6481	114	1	+	+	CCONJ
ejpam-6481	114	2	c0	c0	PROPN
ejpam-6481	114	3	+	+	CCONJ
ejpam-6481	114	4	c1t+	c1t+	PROPN
ejpam-6481	114	5	·	·	PUNCT
ejpam-6481	114	6	·	·	PUNCT
ejpam-6481	114	7	·	·	PUNCT
ejpam-6481	114	8	+	+	NUM
ejpam-6481	114	9	cnt	cnt	PROPN
ejpam-6481	114	10	n−1	n−1	PROPN
ejpam-6481	114	11	,	,	PUNCT
ejpam-6481	114	12	such	such	ADJ
ejpam-6481	114	13	that	that	SCONJ
ejpam-6481	114	14	n	n	ADP
ejpam-6481	114	15	satisfies	satisfie	NOUN
ejpam-6481	114	16	n	n	PRON
ejpam-6481	114	17	≥	≥	NOUN
ejpam-6481	114	18	ξ	ξ	PROPN
ejpam-6481	114	19	and	and	CCONJ
ejpam-6481	114	20	ci	ci	NOUN
ejpam-6481	114	21	∈	∈	PROPN
ejpam-6481	114	22	r	r	PROPN
ejpam-6481	114	23	,	,	PUNCT
ejpam-6481	114	24	i	i	NOUN
ejpam-6481	114	25	=	=	NOUN
ejpam-6481	114	26	1	1	NUM
ejpam-6481	114	27	,	,	PUNCT
ejpam-6481	114	28	2	2	NUM
ejpam-6481	114	29	,	,	PUNCT
ejpam-6481	114	30	.	.	PUNCT
ejpam-6481	114	31	.	.	PUNCT
ejpam-6481	114	32	.	.	PUNCT
ejpam-6481	115	1	,	,	PUNCT
ejpam-6481	115	2	n−	n−	NOUN
ejpam-6481	115	3	1	1	NUM
ejpam-6481	115	4	.	.	PUNCT
ejpam-6481	116	1	lemma	lemma	PROPN
ejpam-6481	116	2	2	2	NUM
ejpam-6481	116	3	.	.	PUNCT
ejpam-6481	117	1	[	[	X
ejpam-6481	117	2	19	19	NUM
ejpam-6481	117	3	]	]	X
ejpam-6481	117	4	the	the	DET
ejpam-6481	117	5	following	follow	VERB
ejpam-6481	117	6	equality	equality	NOUN
ejpam-6481	117	7	holds	hold	VERB
ejpam-6481	117	8	:	:	PUNCT
ejpam-6481	117	9	t−ξ∑	t−ξ∑	NUM
ejpam-6481	117	10	s=0	s=0	X
ejpam-6481	117	11	(	(	PUNCT
ejpam-6481	117	12	t−	t−	PROPN
ejpam-6481	117	13	s−	s−	PROPN
ejpam-6481	117	14	1)(ξ−1	1)(ξ−1	NUM
ejpam-6481	117	15	)	)	PUNCT
ejpam-6481	118	1	=	=	SYM
ejpam-6481	118	2	γ(t+	γ(t+	ADJ
ejpam-6481	118	3	1	1	NUM
ejpam-6481	118	4	)	)	PUNCT
ejpam-6481	118	5	ξγ(t−	ξγ(t−	NOUN
ejpam-6481	119	1	ξ	ξ	X
ejpam-6481	119	2	+	+	NUM
ejpam-6481	119	3	1	1	NUM
ejpam-6481	119	4	)	)	PUNCT
ejpam-6481	119	5	.	.	PUNCT
ejpam-6481	120	1	(	(	PUNCT
ejpam-6481	120	2	8)	8)	NUM
ejpam-6481	120	3	the	the	DET
ejpam-6481	120	4	proposed	propose	VERB
ejpam-6481	120	5	model	model	NOUN
ejpam-6481	120	6	(	(	PUNCT
ejpam-6481	120	7	2	2	X
ejpam-6481	120	8	)	)	PUNCT
ejpam-6481	120	9	can	can	AUX
ejpam-6481	120	10	be	be	AUX
ejpam-6481	120	11	written	write	VERB
ejpam-6481	120	12	as	as	ADP
ejpam-6481	120	13	follows:	follows:	NOUN
ejpam-6481	120	14	h(t	h(t	NUM
ejpam-6481	120	15	)	)	PUNCT
ejpam-6481	120	16	=	=	SYM
ejpam-6481	121	1	h(0	h(0	PROPN
ejpam-6481	121	2	)	)	PUNCT
ejpam-6481	121	3	+	+	CCONJ
ejpam-6481	121	4	1	1	NUM
ejpam-6481	121	5	γ(ξ	γ(ξ	NOUN
ejpam-6481	121	6	)	)	PUNCT
ejpam-6481	121	7	t−ξ∑	t−ξ∑	NUM
ejpam-6481	121	8	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	121	9	(	(	PUNCT
ejpam-6481	121	10	t−	t−	PROPN
ejpam-6481	121	11	s−	s−	PROPN
ejpam-6481	121	12	1)ξ−1(λ−	1)ξ−1(λ−	NUM
ejpam-6481	121	13	ηh(t+	ηh(t+	PROPN
ejpam-6481	121	14	ξ	ξ	PROPN
ejpam-6481	122	1	−	−	PROPN
ejpam-6481	122	2	1)v	1)v	NUM
ejpam-6481	122	3	(	(	PUNCT
ejpam-6481	122	4	t+	t+	X
ejpam-6481	122	5	ξ	ξ	X
ejpam-6481	122	6	−	−	PROPN
ejpam-6481	123	1	1)−	1)−	PROPN
ejpam-6481	123	2	δh(t+	δh(t+	PROPN
ejpam-6481	123	3	ξ	ξ	PROPN
ejpam-6481	123	4	−	−	PROPN
ejpam-6481	123	5	1	1	NUM
ejpam-6481	123	6	)	)	PUNCT
ejpam-6481	123	7	)	)	PUNCT
ejpam-6481	123	8	i(t	i(t	NOUN
ejpam-6481	123	9	)	)	PUNCT
ejpam-6481	124	1	=	=	SYM
ejpam-6481	124	2	i(0	i(0	PROPN
ejpam-6481	124	3	)	)	PUNCT
ejpam-6481	125	1	+	+	CCONJ
ejpam-6481	125	2	1	1	NUM
ejpam-6481	125	3	γ(ξ	γ(ξ	NOUN
ejpam-6481	125	4	)	)	PUNCT
ejpam-6481	125	5	t−ξ∑	t−ξ∑	NUM
ejpam-6481	125	6	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	125	7	(	(	PUNCT
ejpam-6481	125	8	t−	t−	PROPN
ejpam-6481	125	9	s−	s−	PROPN
ejpam-6481	125	10	1)ξ−1(ηh(t+	1)ξ−1(ηh(t+	NUM
ejpam-6481	125	11	ξ	ξ	PROPN
ejpam-6481	126	1	−	−	PROPN
ejpam-6481	126	2	1)v	1)v	NUM
ejpam-6481	126	3	(	(	PUNCT
ejpam-6481	126	4	t+	t+	X
ejpam-6481	126	5	ξ	ξ	X
ejpam-6481	126	6	−	−	PROPN
ejpam-6481	126	7	1)−	1)−	NUM
ejpam-6481	126	8	γi(t+	γi(t+	PROPN
ejpam-6481	126	9	ξ	ξ	PROPN
ejpam-6481	127	1	−	−	NOUN
ejpam-6481	127	2	1	1	NUM
ejpam-6481	127	3	)	)	PUNCT
ejpam-6481	127	4	)	)	PUNCT
ejpam-6481	127	5	,	,	PUNCT
ejpam-6481	127	6	v	v	X
ejpam-6481	127	7	(	(	PUNCT
ejpam-6481	127	8	t	t	NOUN
ejpam-6481	127	9	)	)	PUNCT
ejpam-6481	127	10	=	=	NOUN
ejpam-6481	127	11	v	v	X
ejpam-6481	127	12	(	(	PUNCT
ejpam-6481	127	13	0	0	NUM
ejpam-6481	127	14	)	)	PUNCT
ejpam-6481	127	15	+	+	CCONJ
ejpam-6481	127	16	1	1	NUM
ejpam-6481	127	17	γ(ξ	γ(ξ	NOUN
ejpam-6481	127	18	)	)	PUNCT
ejpam-6481	127	19	t−ξ∑	t−ξ∑	NUM
ejpam-6481	127	20	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	127	21	(	(	PUNCT
ejpam-6481	127	22	t−	t−	PROPN
ejpam-6481	127	23	s−	s−	PROPN
ejpam-6481	127	24	1)ξ−1(λi(t+	1)ξ−1(λi(t+	NUM
ejpam-6481	127	25	ξ	ξ	PRON
ejpam-6481	127	26	−	−	PROPN
ejpam-6481	127	27	1)−	1)−	NUM
ejpam-6481	127	28	µv	µv	NOUN
ejpam-6481	127	29	(	(	PUNCT
ejpam-6481	127	30	t+	t+	NOUN
ejpam-6481	127	31	ξ	ξ	X
ejpam-6481	127	32	−	−	PROPN
ejpam-6481	127	33	1	1	NUM
ejpam-6481	127	34	)	)	PUNCT
ejpam-6481	127	35	.	.	PUNCT
ejpam-6481	128	1	(	(	PUNCT
ejpam-6481	128	2	9	9	X
ejpam-6481	128	3	)	)	SYM
ejpam-6481	128	4	3	3	NUM
ejpam-6481	128	5	.	.	X
ejpam-6481	129	1	existence	existence	NOUN
ejpam-6481	129	2	and	and	CCONJ
ejpam-6481	129	3	uniqueness	uniqueness	NOUN
ejpam-6481	129	4	take	take	VERB
ejpam-6481	129	5	model	model	NOUN
ejpam-6481	129	6	(	(	PUNCT
ejpam-6481	129	7	9	9	NUM
ejpam-6481	129	8	)	)	PUNCT
ejpam-6481	129	9	in	in	ADP
ejpam-6481	129	10	the	the	DET
ejpam-6481	129	11	following	follow	VERB
ejpam-6481	129	12	form	form	PROPN
ejpam-6481	129	13	χ1(t+	χ1(t+	PROPN
ejpam-6481	129	14	ξ	ξ	PROPN
ejpam-6481	129	15	−	−	PROPN
ejpam-6481	129	16	1	1	NUM
ejpam-6481	129	17	,	,	PUNCT
ejpam-6481	129	18	h	h	NOUN
ejpam-6481	129	19	,	,	PUNCT
ejpam-6481	129	20	i	i	PRON
ejpam-6481	129	21	,	,	PUNCT
ejpam-6481	129	22	v	v	NOUN
ejpam-6481	129	23	)	)	PUNCT
ejpam-6481	130	1	=	=	NOUN
ejpam-6481	130	2	λ−	λ−	PROPN
ejpam-6481	130	3	ηh(t+	ηh(t+	PROPN
ejpam-6481	130	4	ξ	ξ	PROPN
ejpam-6481	131	1	−	−	PROPN
ejpam-6481	131	2	1)v	1)v	NUM
ejpam-6481	131	3	(	(	PUNCT
ejpam-6481	131	4	t+	t+	X
ejpam-6481	131	5	ξ	ξ	X
ejpam-6481	131	6	−	−	PROPN
ejpam-6481	132	1	1)−	1)−	PROPN
ejpam-6481	132	2	δh(t+	δh(t+	PROPN
ejpam-6481	132	3	ξ	ξ	PROPN
ejpam-6481	132	4	−	−	PROPN
ejpam-6481	132	5	1	1	NUM
ejpam-6481	132	6	)	)	PUNCT
ejpam-6481	132	7	,	,	PUNCT
ejpam-6481	132	8	χ2(t+	χ2(t+	PROPN
ejpam-6481	132	9	ξ	ξ	PROPN
ejpam-6481	133	1	−	−	PROPN
ejpam-6481	133	2	1	1	NUM
ejpam-6481	133	3	,	,	PUNCT
ejpam-6481	133	4	h	h	NOUN
ejpam-6481	133	5	,	,	PUNCT
ejpam-6481	133	6	i	i	PRON
ejpam-6481	133	7	,	,	PUNCT
ejpam-6481	133	8	v	v	NOUN
ejpam-6481	133	9	)	)	PUNCT
ejpam-6481	134	1	=	=	NOUN
ejpam-6481	134	2	ηh(t+	ηh(t+	PROPN
ejpam-6481	134	3	ξ	ξ	X
ejpam-6481	135	1	−	−	PROPN
ejpam-6481	135	2	1)v	1)v	NUM
ejpam-6481	135	3	(	(	PUNCT
ejpam-6481	135	4	t+	t+	X
ejpam-6481	135	5	ξ	ξ	X
ejpam-6481	135	6	−	−	PROPN
ejpam-6481	135	7	1)−	1)−	NUM
ejpam-6481	135	8	γi(t+	γi(t+	PROPN
ejpam-6481	136	1	ξ	ξ	PROPN
ejpam-6481	136	2	−	−	NOUN
ejpam-6481	136	3	1	1	NUM
ejpam-6481	136	4	)	)	PUNCT
ejpam-6481	136	5	,	,	PUNCT
ejpam-6481	136	6	χ3(t+	χ3(t+	PROPN
ejpam-6481	136	7	ξ	ξ	PROPN
ejpam-6481	137	1	−	−	PROPN
ejpam-6481	137	2	1	1	NUM
ejpam-6481	137	3	,	,	PUNCT
ejpam-6481	137	4	h	h	NOUN
ejpam-6481	137	5	,	,	PUNCT
ejpam-6481	137	6	i	i	PRON
ejpam-6481	137	7	,	,	PUNCT
ejpam-6481	137	8	v	v	NOUN
ejpam-6481	137	9	)	)	PUNCT
ejpam-6481	137	10	=	=	PUNCT
ejpam-6481	138	1	λi(t+	λi(t+	PROPN
ejpam-6481	139	1	ξ	ξ	X
ejpam-6481	139	2	−	−	PROPN
ejpam-6481	139	3	1)−	1)−	NUM
ejpam-6481	139	4	µv	µv	NOUN
ejpam-6481	139	5	(	(	PUNCT
ejpam-6481	139	6	t+	t+	NOUN
ejpam-6481	139	7	ξ	ξ	X
ejpam-6481	139	8	−	−	PROPN
ejpam-6481	139	9	1	1	NUM
ejpam-6481	139	10	)	)	PUNCT
ejpam-6481	139	11	,	,	PUNCT
ejpam-6481	139	12	(	(	PUNCT
ejpam-6481	139	13	10	10	NUM
ejpam-6481	139	14	)	)	PUNCT
ejpam-6481	140	1	s.	s.	PROPN
ejpam-6481	140	2	a.shah	a.shah	PROPN
ejpam-6481	140	3	et	et	PROPN
ejpam-6481	140	4	al	al	PROPN
ejpam-6481	140	5	.	.	PUNCT
ejpam-6481	140	6	/	/	SYM
ejpam-6481	140	7	eur	eur	PROPN
ejpam-6481	140	8	.	.	PUNCT
ejpam-6481	141	1	j.	j.	PROPN
ejpam-6481	141	2	pure	pure	PROPN
ejpam-6481	141	3	appl	appl	PROPN
ejpam-6481	141	4	.	.	PROPN
ejpam-6481	141	5	math	math	PROPN
ejpam-6481	141	6	,	,	PUNCT
ejpam-6481	141	7	18	18	NUM
ejpam-6481	141	8	(	(	PUNCT
ejpam-6481	141	9	3	3	NUM
ejpam-6481	141	10	)	)	PUNCT
ejpam-6481	141	11	(	(	PUNCT
ejpam-6481	141	12	2025	2025	NUM
ejpam-6481	141	13	)	)	PUNCT
ejpam-6481	141	14	,	,	PUNCT
ejpam-6481	141	15	6481	6481	NUM
ejpam-6481	141	16	7	7	NUM
ejpam-6481	141	17	of	of	ADP
ejpam-6481	141	18	19	19	NUM
ejpam-6481	141	19	then	then	ADV
ejpam-6481	141	20	equation	equation	NOUN
ejpam-6481	141	21	(	(	PUNCT
ejpam-6481	141	22	9	9	NUM
ejpam-6481	141	23	)	)	PUNCT
ejpam-6481	141	24	may	may	AUX
ejpam-6481	141	25	be	be	AUX
ejpam-6481	141	26	described	describe	VERB
ejpam-6481	141	27	as	as	ADP
ejpam-6481	141	28	g(t	g(t	PROPN
ejpam-6481	141	29	)	)	PUNCT
ejpam-6481	142	1	=	=	SYM
ejpam-6481	142	2	g(0	g(0	PROPN
ejpam-6481	142	3	)	)	PUNCT
ejpam-6481	142	4	+	+	CCONJ
ejpam-6481	142	5	1	1	NUM
ejpam-6481	142	6	γ(ξ	γ(ξ	NOUN
ejpam-6481	142	7	)	)	PUNCT
ejpam-6481	142	8	t−ξ∑	t−ξ∑	NUM
ejpam-6481	142	9	s=0	s=0	X
ejpam-6481	142	10	(	(	PUNCT
ejpam-6481	142	11	t−	t−	PROPN
ejpam-6481	142	12	s−	s−	PROPN
ejpam-6481	142	13	1)ξ−1f	1)ξ−1f	NUM
ejpam-6481	142	14	(	(	PUNCT
ejpam-6481	142	15	s	s	X
ejpam-6481	142	16	+	+	X
ejpam-6481	142	17	ξ	ξ	X
ejpam-6481	142	18	−	−	NOUN
ejpam-6481	142	19	1	1	NUM
ejpam-6481	142	20	,	,	PUNCT
ejpam-6481	142	21	g(s	g(s	NOUN
ejpam-6481	142	22	+	+	CCONJ
ejpam-6481	142	23	ξ	ξ	X
ejpam-6481	142	24	−	−	NOUN
ejpam-6481	142	25	1	1	NUM
ejpam-6481	142	26	)	)	PUNCT
ejpam-6481	142	27	)	)	PUNCT
ejpam-6481	142	28	,	,	PUNCT
ejpam-6481	142	29	(	(	PUNCT
ejpam-6481	142	30	11	11	NUM
ejpam-6481	142	31	)	)	PUNCT
ejpam-6481	142	32	while	while	SCONJ
ejpam-6481	142	33	g(t	g(t	PROPN
ejpam-6481	142	34	)	)	PUNCT
ejpam-6481	143	1	=	=	PUNCT
ejpam-6481	144	1			PRON
ejpam-6481	144	2	h(t	h(t	PROPN
ejpam-6481	144	3	)	)	PUNCT
ejpam-6481	144	4	i(t	i(t	PROPN
ejpam-6481	144	5	)	)	PUNCT
ejpam-6481	144	6	v	v	NOUN
ejpam-6481	144	7	(	(	PUNCT
ejpam-6481	144	8	t	t	PROPN
ejpam-6481	144	9	)	)	PUNCT
ejpam-6481	144	10	,	,	PUNCT
ejpam-6481	144	11	g(0	g(0	NOUN
ejpam-6481	144	12	)	)	PUNCT
ejpam-6481	144	13	=	=	PUNCT
ejpam-6481	145	1			PRON
ejpam-6481	145	2	h0	h0	PROPN
ejpam-6481	145	3	i0	i0	PROPN
ejpam-6481	145	4	v0	v0	PROPN
ejpam-6481	145	5	,	,	PUNCT
ejpam-6481	145	6	f	f	X
ejpam-6481	145	7	(	(	PUNCT
ejpam-6481	145	8	t+	t+	NOUN
ejpam-6481	145	9	ξ−	ξ−	NOUN
ejpam-6481	145	10	1	1	NUM
ejpam-6481	145	11	,	,	PUNCT
ejpam-6481	145	12	g(t+	g(t+	PROPN
ejpam-6481	145	13	ξ−	ξ−	PROPN
ejpam-6481	145	14	1	1	NUM
ejpam-6481	145	15	)	)	PUNCT
ejpam-6481	145	16	)	)	PUNCT
ejpam-6481	146	1	=	=	PUNCT
ejpam-6481	147	1			X
ejpam-6481	147	2	χ1(t+	χ1(t+	PROPN
ejpam-6481	147	3	ξ	ξ	X
ejpam-6481	147	4	−	−	PROPN
ejpam-6481	147	5	1	1	NUM
ejpam-6481	147	6	,	,	PUNCT
ejpam-6481	147	7	h	h	NOUN
ejpam-6481	147	8	,	,	PUNCT
ejpam-6481	147	9	i	i	PRON
ejpam-6481	147	10	,	,	PUNCT
ejpam-6481	147	11	v	v	NOUN
ejpam-6481	147	12	)	)	PUNCT
ejpam-6481	148	1	χ2(t+	χ2(t+	PROPN
ejpam-6481	148	2	ξ	ξ	PROPN
ejpam-6481	149	1	−	−	PROPN
ejpam-6481	149	2	1	1	NUM
ejpam-6481	149	3	,	,	PUNCT
ejpam-6481	149	4	h	h	NOUN
ejpam-6481	149	5	,	,	PUNCT
ejpam-6481	149	6	i	i	PRON
ejpam-6481	149	7	,	,	PUNCT
ejpam-6481	149	8	v	v	NOUN
ejpam-6481	149	9	)	)	PUNCT
ejpam-6481	149	10	χ3(t+	χ3(t+	PROPN
ejpam-6481	149	11	ξ	ξ	PROPN
ejpam-6481	150	1	−	−	PROPN
ejpam-6481	150	2	1	1	NUM
ejpam-6481	150	3	,	,	PUNCT
ejpam-6481	150	4	h	h	NOUN
ejpam-6481	150	5	,	,	PUNCT
ejpam-6481	150	6	i	i	PRON
ejpam-6481	150	7	,	,	PUNCT
ejpam-6481	150	8	v	v	NOUN
ejpam-6481	150	9	)	)	PUNCT
ejpam-6481	150	10	(	(	PUNCT
ejpam-6481	150	11	12	12	NUM
ejpam-6481	150	12	)	)	PUNCT
ejpam-6481	150	13	the	the	DET
ejpam-6481	150	14	following	follow	VERB
ejpam-6481	150	15	fixed	fix	VERB
ejpam-6481	150	16	-	-	PUNCT
ejpam-6481	150	17	point	point	NOUN
ejpam-6481	150	18	theorems	theorem	NOUN
ejpam-6481	150	19	must	must	AUX
ejpam-6481	150	20	be	be	AUX
ejpam-6481	150	21	applied	apply	VERB
ejpam-6481	150	22	in	in	ADP
ejpam-6481	150	23	order	order	NOUN
ejpam-6481	150	24	to	to	PART
ejpam-6481	150	25	prove	prove	VERB
ejpam-6481	150	26	the	the	DET
ejpam-6481	150	27	existence	existence	NOUN
ejpam-6481	150	28	and	and	CCONJ
ejpam-6481	150	29	uniqueness	uniqueness	NOUN
ejpam-6481	150	30	of	of	ADP
ejpam-6481	150	31	solutions	solution	NOUN
ejpam-6481	150	32	for	for	ADP
ejpam-6481	150	33	the	the	DET
ejpam-6481	150	34	system	system	NOUN
ejpam-6481	150	35	(	(	PUNCT
ejpam-6481	150	36	9	9	NUM
ejpam-6481	150	37	)	)	PUNCT
ejpam-6481	150	38	.	.	PUNCT
ejpam-6481	151	1	theorem	theorem	NOUN
ejpam-6481	151	2	1	1	NUM
ejpam-6481	151	3	.	.	PUNCT
ejpam-6481	152	1	[	[	X
ejpam-6481	152	2	27	27	NUM
ejpam-6481	152	3	]	]	X
ejpam-6481	152	4	a	a	DET
ejpam-6481	152	5	contraction	contraction	NOUN
ejpam-6481	152	6	mapping	mapping	NOUN
ejpam-6481	152	7	established	establish	VERB
ejpam-6481	152	8	on	on	ADP
ejpam-6481	152	9	a	a	DET
ejpam-6481	152	10	complete	complete	ADJ
ejpam-6481	152	11	metric	metric	ADJ
ejpam-6481	152	12	space	space	NOUN
ejpam-6481	152	13	has	have	VERB
ejpam-6481	152	14	exactly	exactly	ADV
ejpam-6481	152	15	one	one	NUM
ejpam-6481	152	16	fixed	fix	VERB
ejpam-6481	152	17	point	point	NOUN
ejpam-6481	152	18	,	,	PUNCT
ejpam-6481	152	19	according	accord	VERB
ejpam-6481	152	20	to	to	ADP
ejpam-6481	152	21	the	the	DET
ejpam-6481	152	22	unique	unique	ADJ
ejpam-6481	152	23	fixed	fix	VERB
ejpam-6481	152	24	point	point	NOUN
ejpam-6481	152	25	feature	feature	NOUN
ejpam-6481	152	26	.	.	PUNCT
ejpam-6481	153	1	theorem	theorem	NOUN
ejpam-6481	153	2	2	2	NUM
ejpam-6481	153	3	.	.	PUNCT
ejpam-6481	154	1	[	[	X
ejpam-6481	154	2	27	27	NUM
ejpam-6481	154	3	]	]	PUNCT
ejpam-6481	154	4	.	.	PUNCT
ejpam-6481	155	1	this	this	PRON
ejpam-6481	155	2	means	mean	VERB
ejpam-6481	155	3	that	that	SCONJ
ejpam-6481	155	4	ψ	ψ	NOUN
ejpam-6481	155	5	has	have	AUX
ejpam-6481	155	6	at	at	ADV
ejpam-6481	155	7	least	least	ADV
ejpam-6481	155	8	one	one	NUM
ejpam-6481	155	9	fixed	fix	VERB
ejpam-6481	155	10	point	point	NOUN
ejpam-6481	155	11	in	in	ADP
ejpam-6481	155	12	d	d	NOUN
ejpam-6481	155	13	if	if	SCONJ
ejpam-6481	155	14	ψ	ψ	X
ejpam-6481	155	15	:	:	PUNCT
ejpam-6481	155	16	d	d	PROPN
ejpam-6481	155	17	⊆	⊆	NUM
ejpam-6481	155	18	rn	rn	PROPN
ejpam-6481	155	19	→	→	PROPN
ejpam-6481	155	20	d	d	PROPN
ejpam-6481	155	21	⊆	⊆	NUM
ejpam-6481	155	22	rn	rn	PROPN
ejpam-6481	155	23	is	be	AUX
ejpam-6481	155	24	a	a	DET
ejpam-6481	155	25	continuous	continuous	ADJ
ejpam-6481	155	26	mapping	mapping	NOUN
ejpam-6481	155	27	defined	define	VERB
ejpam-6481	155	28	on	on	ADP
ejpam-6481	155	29	a	a	DET
ejpam-6481	155	30	nonempty	nonempty	ADJ
ejpam-6481	155	31	,	,	PUNCT
ejpam-6481	155	32	bounded	bound	VERB
ejpam-6481	155	33	,	,	PUNCT
ejpam-6481	155	34	closed	closed	ADJ
ejpam-6481	155	35	,	,	PUNCT
ejpam-6481	155	36	and	and	CCONJ
ejpam-6481	155	37	convex	convex	PROPN
ejpam-6481	155	38	set	set	VERB
ejpam-6481	155	39	d.	d.	NOUN
ejpam-6481	155	40	we	we	PRON
ejpam-6481	155	41	define	define	VERB
ejpam-6481	155	42	the	the	DET
ejpam-6481	155	43	banach	banach	NOUN
ejpam-6481	155	44	space	space	NOUN
ejpam-6481	155	45	by	by	ADP
ejpam-6481	155	46	x	x	NOUN
ejpam-6481	156	1	=	=	SYM
ejpam-6481	156	2	x1	x1	NUM
ejpam-6481	156	3	×	×	NOUN
ejpam-6481	157	1	x2	x2	INTJ
ejpam-6481	157	2	×	×	NOUN
ejpam-6481	157	3	x3	x3	VERB
ejpam-6481	157	4	such	such	ADJ
ejpam-6481	157	5	that	that	PRON
ejpam-6481	157	6	xi	xi	PROPN
ejpam-6481	157	7	,	,	PUNCT
ejpam-6481	157	8	(	(	PUNCT
ejpam-6481	157	9	i	i	NOUN
ejpam-6481	157	10	=	=	NOUN
ejpam-6481	157	11	1	1	NUM
ejpam-6481	157	12	,	,	PUNCT
ejpam-6481	157	13	2	2	NUM
ejpam-6481	157	14	,	,	PUNCT
ejpam-6481	157	15	3	3	NUM
ejpam-6481	157	16	)	)	PUNCT
ejpam-6481	157	17	are	be	AUX
ejpam-6481	157	18	sequences	sequence	NOUN
ejpam-6481	157	19	of	of	ADP
ejpam-6481	157	20	real	real	ADJ
ejpam-6481	157	21	numbers	number	NOUN
ejpam-6481	157	22	(	(	PUNCT
ejpam-6481	157	23	h	h	NOUN
ejpam-6481	157	24	,	,	PUNCT
ejpam-6481	157	25	i	i	PRON
ejpam-6481	157	26	,	,	PUNCT
ejpam-6481	157	27	v	v	NOUN
ejpam-6481	157	28	)	)	PUNCT
ejpam-6481	157	29	=	=	PUNCT
ejpam-6481	157	30	{	{	PUNCT
ejpam-6481	157	31	h(t	h(t	PROPN
ejpam-6481	157	32	)	)	PUNCT
ejpam-6481	157	33	,	,	PUNCT
ejpam-6481	157	34	i(t	i(t	PROPN
ejpam-6481	157	35	)	)	PUNCT
ejpam-6481	157	36	,	,	PUNCT
ejpam-6481	157	37	v	v	X
ejpam-6481	157	38	(	(	PUNCT
ejpam-6481	157	39	t)}b+ξt	t)}b+ξt	X
ejpam-6481	157	40	=	=	ADJ
ejpam-6481	157	41	ξ−1	ξ−1	NOUN
ejpam-6481	157	42	under	under	ADP
ejpam-6481	157	43	the	the	DET
ejpam-6481	157	44	norm	norm	NOUN
ejpam-6481	157	45	∥g∥	∥g∥	PROPN
ejpam-6481	157	46	=	=	SYM
ejpam-6481	158	1	∥(h	∥(h	PROPN
ejpam-6481	158	2	,	,	PUNCT
ejpam-6481	158	3	i	i	PRON
ejpam-6481	158	4	,	,	PUNCT
ejpam-6481	158	5	v	v	NOUN
ejpam-6481	158	6	)	)	PUNCT
ejpam-6481	158	7	∥	∥	PUNCT
ejpam-6481	158	8	=	=	SYM
ejpam-6481	158	9	supt∈[ξ−1,b+ξ]nξ−1	supt∈[ξ−1,b+ξ]nξ−1	NUM
ejpam-6481	159	1	[	[	X
ejpam-6481	159	2	|h(t)|+	|h(t)|+	NOUN
ejpam-6481	159	3	|i(t)|+	|i(t)|+	ADJ
ejpam-6481	159	4	|v	|v	PROPN
ejpam-6481	159	5	(	(	PUNCT
ejpam-6481	159	6	t)|	t)|	NOUN
ejpam-6481	159	7	]	]	PUNCT
ejpam-6481	159	8	.	.	PUNCT
ejpam-6481	160	1	then	then	ADV
ejpam-6481	160	2	ψx	ψx	VERB
ejpam-6481	160	3	→	→	SYM
ejpam-6481	160	4	x	x	X
ejpam-6481	160	5	such	such	ADJ
ejpam-6481	160	6	that	that	SCONJ
ejpam-6481	160	7	(	(	PUNCT
ejpam-6481	160	8	ψg)(t	ψg)(t	PROPN
ejpam-6481	160	9	)	)	PUNCT
ejpam-6481	160	10	=	=	SYM
ejpam-6481	160	11	g(0	g(0	PROPN
ejpam-6481	160	12	)	)	PUNCT
ejpam-6481	161	1	+	+	CCONJ
ejpam-6481	161	2	1	1	NUM
ejpam-6481	161	3	γ(ξ	γ(ξ	NOUN
ejpam-6481	161	4	)	)	PUNCT
ejpam-6481	161	5	t−ξ∑	t−ξ∑	NUM
ejpam-6481	161	6	s=0	s=0	X
ejpam-6481	161	7	(	(	PUNCT
ejpam-6481	161	8	t−	t−	PROPN
ejpam-6481	161	9	s−	s−	PROPN
ejpam-6481	161	10	1)ξ−1f	1)ξ−1f	NUM
ejpam-6481	161	11	(	(	PUNCT
ejpam-6481	161	12	s	s	X
ejpam-6481	161	13	+	+	X
ejpam-6481	161	14	ξ	ξ	X
ejpam-6481	161	15	−	−	NOUN
ejpam-6481	161	16	1	1	NUM
ejpam-6481	161	17	,	,	PUNCT
ejpam-6481	161	18	g(s	g(s	NOUN
ejpam-6481	161	19	+	+	CCONJ
ejpam-6481	161	20	ξ	ξ	X
ejpam-6481	161	21	−	−	NOUN
ejpam-6481	161	22	1	1	NUM
ejpam-6481	161	23	)	)	PUNCT
ejpam-6481	161	24	)	)	PUNCT
ejpam-6481	161	25	.	.	PUNCT
ejpam-6481	162	1	(	(	PUNCT
ejpam-6481	162	2	13	13	NUM
ejpam-6481	162	3	)	)	PUNCT
ejpam-6481	162	4	define	define	VERB
ejpam-6481	162	5	dψ	dψ	NOUN
ejpam-6481	162	6	=	=	SYM
ejpam-6481	162	7	max	max	PROPN
ejpam-6481	162	8	{	{	PUNCT
ejpam-6481	162	9	γ(t+1	γ(t+1	NOUN
ejpam-6481	162	10	)	)	PUNCT
ejpam-6481	162	11	γ(ξ+1)γ(t−ξ+1	γ(ξ+1)γ(t−ξ+1	NUM
ejpam-6481	162	12	)	)	PUNCT
ejpam-6481	162	13	}	}	PUNCT
ejpam-6481	162	14	=	=	SYM
ejpam-6481	162	15	γ(b+ξ+1	γ(b+ξ+1	X
ejpam-6481	162	16	)	)	PUNCT
ejpam-6481	162	17	γ(ξ+1)γ(b+1	γ(ξ+1)γ(b+1	NOUN
ejpam-6481	162	18	)	)	PUNCT
ejpam-6481	162	19	.	.	PUNCT
ejpam-6481	163	1	theorem	theorem	NOUN
ejpam-6481	163	2	3	3	X
ejpam-6481	163	3	.	.	PUNCT
ejpam-6481	164	1	let	let	VERB
ejpam-6481	164	2	(	(	PUNCT
ejpam-6481	164	3	c1	c1	PROPN
ejpam-6481	164	4	)	)	PUNCT
ejpam-6481	164	5	:	:	PUNCT
ejpam-6481	164	6	we	we	PRON
ejpam-6481	164	7	have	have	AUX
ejpam-6481	164	8	bounded	bound	VERB
ejpam-6481	164	9	function	function	NOUN
ejpam-6481	164	10	f	f	NOUN
ejpam-6481	164	11	:	:	PUNCT
ejpam-6481	165	1	[	[	X
ejpam-6481	165	2	ξ	ξ	X
ejpam-6481	165	3	−	−	PROPN
ejpam-6481	165	4	1	1	NUM
ejpam-6481	165	5	,	,	PUNCT
ejpam-6481	165	6	b	b	PROPN
ejpam-6481	165	7	+	+	CCONJ
ejpam-6481	165	8	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	165	9	→	→	SYM
ejpam-6481	165	10	r	r	NOUN
ejpam-6481	165	11	with	with	ADP
ejpam-6481	165	12	∣∣f	∣∣f	NOUN
ejpam-6481	165	13	(	(	PUNCT
ejpam-6481	165	14	t	t	PROPN
ejpam-6481	165	15	,	,	PUNCT
ejpam-6481	165	16	g)∣∣	g)∣∣	PROPN
ejpam-6481	165	17	≤	≤	NUM
ejpam-6481	165	18	f(t	f(t	NOUN
ejpam-6481	165	19	)	)	PUNCT
ejpam-6481	165	20	∣∣g∣∣	∣∣g∣∣	NOUN
ejpam-6481	165	21	at	at	ADP
ejpam-6481	165	22	every	every	DET
ejpam-6481	165	23	g	g	PROPN
ejpam-6481	165	24	∈	∈	PROPN
ejpam-6481	165	25	x.	x.	NOUN
ejpam-6481	166	1	the	the	DET
ejpam-6481	166	2	system	system	NOUN
ejpam-6481	166	3	(	(	PUNCT
ejpam-6481	166	4	2	2	X
ejpam-6481	166	5	)	)	PUNCT
ejpam-6481	166	6	has	have	VERB
ejpam-6481	166	7	at	at	ADV
ejpam-6481	166	8	least	least	ADV
ejpam-6481	166	9	one	one	NUM
ejpam-6481	166	10	solution	solution	NOUN
ejpam-6481	166	11	at	at	ADP
ejpam-6481	166	12	x	x	NOUN
ejpam-6481	166	13	,	,	PUNCT
ejpam-6481	166	14	if	if	SCONJ
ejpam-6481	166	15	f∗	f∗	NOUN
ejpam-6481	166	16	<	<	X
ejpam-6481	166	17	dψ	dψ	X
ejpam-6481	166	18	,	,	PUNCT
ejpam-6481	166	19	with	with	ADP
ejpam-6481	166	20	f∗	f∗	NOUN
ejpam-6481	166	21	=	=	SYM
ejpam-6481	166	22	max{f(t	max{f(t	PROPN
ejpam-6481	166	23	)	)	PUNCT
ejpam-6481	166	24	:	:	PUNCT
ejpam-6481	167	1	t	t	PROPN
ejpam-6481	167	2	∈	∈	PROPN
ejpam-6481	168	1	[	[	X
ejpam-6481	168	2	ξ	ξ	X
ejpam-6481	168	3	−	−	PROPN
ejpam-6481	168	4	1	1	NUM
ejpam-6481	168	5	,	,	PUNCT
ejpam-6481	168	6	b+	b+	VERB
ejpam-6481	168	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	168	8	}	}	PUNCT
ejpam-6481	168	9	.	.	PUNCT
ejpam-6481	169	1	proof	proof	NOUN
ejpam-6481	169	2	.	.	PUNCT
ejpam-6481	170	1	take	take	VERB
ejpam-6481	170	2	p	p	NOUN
ejpam-6481	170	3	>	>	X
ejpam-6481	170	4	0	0	NUM
ejpam-6481	171	1	such	such	ADJ
ejpam-6481	171	2	that	that	PRON
ejpam-6481	171	3	u	u	NOUN
ejpam-6481	171	4	=	=	PUNCT
ejpam-6481	171	5	{	{	PUNCT
ejpam-6481	171	6	g	g	NOUN
ejpam-6481	171	7	∣∣[ξ	∣∣[ξ	PUNCT
ejpam-6481	171	8	−	−	PROPN
ejpam-6481	171	9	1	1	NUM
ejpam-6481	171	10	,	,	PUNCT
ejpam-6481	171	11	b	b	PROPN
ejpam-6481	171	12	+	+	CCONJ
ejpam-6481	171	13	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	171	14	→	→	SYM
ejpam-6481	171	15	r	r	PROPN
ejpam-6481	171	16	,	,	PUNCT
ejpam-6481	171	17	∥g∥	∥g∥	PROPN
ejpam-6481	171	18	≤	≤	NUM
ejpam-6481	171	19	m	m	VERB
ejpam-6481	171	20	}	}	PUNCT
ejpam-6481	171	21	,	,	PUNCT
ejpam-6481	171	22	we	we	PRON
ejpam-6481	171	23	need	need	VERB
ejpam-6481	171	24	to	to	PART
ejpam-6481	171	25	show	show	VERB
ejpam-6481	171	26	that	that	SCONJ
ejpam-6481	171	27	ψ	ψ	ADP
ejpam-6481	171	28	maps	map	NOUN
ejpam-6481	171	29	u	u	NOUN
ejpam-6481	171	30	into	into	ADP
ejpam-6481	171	31	u	u	PRON
ejpam-6481	171	32	.	.	PUNCT
ejpam-6481	172	1	for	for	ADP
ejpam-6481	172	2	any	any	DET
ejpam-6481	172	3	g	g	PROPN
ejpam-6481	172	4	∈	∈	PROPN
ejpam-6481	172	5	u	u	NOUN
ejpam-6481	172	6	,	,	PUNCT
ejpam-6481	172	7	we	we	PRON
ejpam-6481	172	8	have	have	VERB
ejpam-6481	172	9	∣∣(ψg)(t)∣∣	∣∣(ψg)(t)∣∣	NOUN
ejpam-6481	172	10	≤	≤	ADJ
ejpam-6481	172	11	f(t	f(t	NOUN
ejpam-6481	172	12	)	)	PUNCT
ejpam-6481	172	13	γ(ξ	γ(ξ	PROPN
ejpam-6481	172	14	)	)	PUNCT
ejpam-6481	172	15	t−ξ∑	t−ξ∑	NUM
ejpam-6481	172	16	s=0	s=0	X
ejpam-6481	172	17	(	(	PUNCT
ejpam-6481	172	18	t−	t−	PROPN
ejpam-6481	172	19	s−	s−	PROPN
ejpam-6481	172	20	1)ξ−1	1)ξ−1	NUM
ejpam-6481	172	21	∣∣g(s	∣∣g(s	NOUN
ejpam-6481	172	22	+	+	CCONJ
ejpam-6481	172	23	ξ	ξ	X
ejpam-6481	172	24	−	−	PROPN
ejpam-6481	172	25	1	1	NUM
ejpam-6481	172	26	)	)	PUNCT
ejpam-6481	172	27	∣∣	∣∣	NOUN
ejpam-6481	172	28	,	,	PUNCT
ejpam-6481	172	29	≤	≤	ADJ
ejpam-6481	172	30	f(t)∥g∥	f(t)∥g∥	PROPN
ejpam-6481	172	31	γ(ξ	γ(ξ	PROPN
ejpam-6481	172	32	)	)	PUNCT
ejpam-6481	172	33	t−ξ∑	t−ξ∑	NUM
ejpam-6481	172	34	s=0	s=0	X
ejpam-6481	172	35	(	(	PUNCT
ejpam-6481	172	36	t−	t−	PROPN
ejpam-6481	172	37	s−	s−	PROPN
ejpam-6481	172	38	1)ξ−1	1)ξ−1	NUM
ejpam-6481	172	39	,	,	PUNCT
ejpam-6481	172	40	s.	s.	PROPN
ejpam-6481	172	41	a.shah	a.shah	PROPN
ejpam-6481	172	42	et	et	PROPN
ejpam-6481	172	43	al	al	PROPN
ejpam-6481	172	44	.	.	PUNCT
ejpam-6481	172	45	/	/	SYM
ejpam-6481	172	46	eur	eur	PROPN
ejpam-6481	172	47	.	.	PUNCT
ejpam-6481	173	1	j.	j.	PROPN
ejpam-6481	173	2	pure	pure	PROPN
ejpam-6481	173	3	appl	appl	PROPN
ejpam-6481	173	4	.	.	PROPN
ejpam-6481	173	5	math	math	PROPN
ejpam-6481	173	6	,	,	PUNCT
ejpam-6481	173	7	18	18	NUM
ejpam-6481	173	8	(	(	PUNCT
ejpam-6481	173	9	3	3	NUM
ejpam-6481	173	10	)	)	PUNCT
ejpam-6481	173	11	(	(	PUNCT
ejpam-6481	173	12	2025	2025	NUM
ejpam-6481	173	13	)	)	PUNCT
ejpam-6481	173	14	,	,	PUNCT
ejpam-6481	173	15	6481	6481	NUM
ejpam-6481	173	16	8	8	NUM
ejpam-6481	173	17	of	of	ADP
ejpam-6481	173	18	19	19	NUM
ejpam-6481	173	19	≤	≤	NUM
ejpam-6481	173	20	dψf∗p	dψf∗p	NOUN
ejpam-6481	173	21	.	.	PUNCT
ejpam-6481	174	1	thus	thus	ADV
ejpam-6481	174	2	|(ψg)(t)|	|(ψg)(t)|	ADV
ejpam-6481	174	3	<	<	X
ejpam-6481	174	4	p	p	X
ejpam-6481	174	5	,	,	PUNCT
ejpam-6481	174	6	then	then	ADV
ejpam-6481	174	7	∥(ψg)∥	∥(ψg)∥	NUM
ejpam-6481	174	8	≤	≤	NOUN
ejpam-6481	174	9	p	p	NOUN
ejpam-6481	174	10	implies	imply	VERB
ejpam-6481	174	11	that	that	SCONJ
ejpam-6481	174	12	ψ	ψ	SYM
ejpam-6481	174	13	maps	map	NOUN
ejpam-6481	174	14	u	u	NOUN
ejpam-6481	174	15	to	to	ADP
ejpam-6481	174	16	itself	itself	PRON
ejpam-6481	174	17	.	.	PUNCT
ejpam-6481	175	1	on	on	ADP
ejpam-6481	175	2	using	use	VERB
ejpam-6481	175	3	theorem	theorem	NOUN
ejpam-6481	175	4	(	(	PUNCT
ejpam-6481	175	5	2	2	NUM
ejpam-6481	175	6	)	)	PUNCT
ejpam-6481	175	7	,	,	PUNCT
ejpam-6481	175	8	ψ	ψ	X
ejpam-6481	175	9	has	have	VERB
ejpam-6481	175	10	at	at	ADV
ejpam-6481	175	11	least	least	ADJ
ejpam-6481	175	12	one	one	NUM
ejpam-6481	175	13	solution	solution	NOUN
ejpam-6481	175	14	.	.	PUNCT
ejpam-6481	176	1	hence	hence	ADV
ejpam-6481	176	2	system	system	NOUN
ejpam-6481	176	3	(	(	PUNCT
ejpam-6481	176	4	2	2	X
ejpam-6481	176	5	)	)	PUNCT
ejpam-6481	176	6	has	have	VERB
ejpam-6481	176	7	also	also	ADV
ejpam-6481	176	8	at	at	ADP
ejpam-6481	176	9	least	least	ADJ
ejpam-6481	176	10	one	one	NUM
ejpam-6481	176	11	solution	solution	NOUN
ejpam-6481	176	12	.	.	PUNCT
ejpam-6481	177	1	theorem	theorem	ADJ
ejpam-6481	177	2	4	4	NUM
ejpam-6481	177	3	.	.	PUNCT
ejpam-6481	178	1	let	let	VERB
ejpam-6481	178	2	(	(	PUNCT
ejpam-6481	178	3	c2	c2	PROPN
ejpam-6481	178	4	)	)	PUNCT
ejpam-6481	178	5	:	:	PUNCT
ejpam-6481	179	1	if	if	SCONJ
ejpam-6481	179	2	there	there	PRON
ejpam-6481	179	3	exists	exist	VERB
ejpam-6481	179	4	constant	constant	ADJ
ejpam-6481	179	5	k	k	PROPN
ejpam-6481	179	6	>	>	X
ejpam-6481	179	7	0	0	NUM
ejpam-6481	180	1	such	such	ADJ
ejpam-6481	180	2	that	that	DET
ejpam-6481	180	3	∣∣f	∣∣f	NOUN
ejpam-6481	180	4	(	(	PUNCT
ejpam-6481	180	5	t	t	PROPN
ejpam-6481	180	6	,	,	PUNCT
ejpam-6481	180	7	g	g	NOUN
ejpam-6481	180	8	)	)	PUNCT
ejpam-6481	180	9	−	−	PROPN
ejpam-6481	180	10	f	f	PROPN
ejpam-6481	180	11	(	(	PUNCT
ejpam-6481	180	12	t	t	PROPN
ejpam-6481	180	13	,	,	PUNCT
ejpam-6481	180	14	ḡ	ḡ	VERB
ejpam-6481	180	15	)	)	PUNCT
ejpam-6481	180	16	∣∣	∣∣	PROPN
ejpam-6481	180	17	≤	≤	PROPN
ejpam-6481	180	18	k	k	PROPN
ejpam-6481	180	19	∣∣g	∣∣g	PROPN
ejpam-6481	180	20	−	−	PROPN
ejpam-6481	180	21	ḡ	ḡ	ADJ
ejpam-6481	180	22	∣∣	∣∣	NUM
ejpam-6481	180	23	at	at	ADP
ejpam-6481	180	24	all	all	ADV
ejpam-6481	180	25	t	t	NOUN
ejpam-6481	180	26	∈	∈	PROPN
ejpam-6481	181	1	[	[	X
ejpam-6481	181	2	ξ	ξ	X
ejpam-6481	181	3	−	−	PROPN
ejpam-6481	181	4	1	1	NUM
ejpam-6481	181	5	,	,	PUNCT
ejpam-6481	181	6	b+	b+	VERB
ejpam-6481	181	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	181	8	and	and	CCONJ
ejpam-6481	181	9	g	g	NOUN
ejpam-6481	181	10	,	,	PUNCT
ejpam-6481	181	11	ḡ	ḡ	VERB
ejpam-6481	181	12	∈	∈	PROPN
ejpam-6481	181	13	x.	x.	NOUN
ejpam-6481	182	1	the	the	DET
ejpam-6481	182	2	system	system	NOUN
ejpam-6481	182	3	(	(	PUNCT
ejpam-6481	182	4	2	2	X
ejpam-6481	182	5	)	)	PUNCT
ejpam-6481	182	6	has	have	VERB
ejpam-6481	182	7	a	a	DET
ejpam-6481	182	8	unique	unique	ADJ
ejpam-6481	182	9	solution	solution	NOUN
ejpam-6481	182	10	on	on	ADP
ejpam-6481	182	11	x	x	PUNCT
ejpam-6481	182	12	if	if	SCONJ
ejpam-6481	182	13	k	k	PROPN
ejpam-6481	182	14	<	<	X
ejpam-6481	182	15	dψ	dψ	X
ejpam-6481	182	16	.	.	PUNCT
ejpam-6481	182	17	proof	proof	NOUN
ejpam-6481	182	18	.	.	PUNCT
ejpam-6481	183	1	if	if	SCONJ
ejpam-6481	183	2	g	g	PROPN
ejpam-6481	183	3	,	,	PUNCT
ejpam-6481	183	4	ḡ	ḡ	VERB
ejpam-6481	183	5	∈	∈	PROPN
ejpam-6481	183	6	x	x	NOUN
ejpam-6481	183	7	,	,	PUNCT
ejpam-6481	183	8	then	then	ADV
ejpam-6481	183	9	for	for	ADP
ejpam-6481	183	10	every	every	DET
ejpam-6481	183	11	t	t	NOUN
ejpam-6481	183	12	∈	∈	PROPN
ejpam-6481	184	1	[	[	X
ejpam-6481	184	2	ξ	ξ	X
ejpam-6481	184	3	−	−	PROPN
ejpam-6481	184	4	1	1	NUM
ejpam-6481	184	5	,	,	PUNCT
ejpam-6481	184	6	b+	b+	VERB
ejpam-6481	184	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	184	8	such	such	ADJ
ejpam-6481	184	9	that	that	SCONJ
ejpam-6481	184	10	∣∣(ψg)(t)−	∣∣(ψg)(t)−	PROPN
ejpam-6481	184	11	(	(	PUNCT
ejpam-6481	184	12	ψḡ)(t	ψḡ)(t	PROPN
ejpam-6481	184	13	)	)	PUNCT
ejpam-6481	184	14	∣∣	∣∣	NUM
ejpam-6481	184	15	≤	≤	NUM
ejpam-6481	184	16	1	1	NUM
ejpam-6481	184	17	γ(ξ	γ(ξ	NOUN
ejpam-6481	184	18	)	)	PUNCT
ejpam-6481	184	19	t−ξ∑	t−ξ∑	NUM
ejpam-6481	184	20	s=0	s=0	X
ejpam-6481	184	21	(	(	PUNCT
ejpam-6481	184	22	t−	t−	PROPN
ejpam-6481	184	23	s−	s−	PROPN
ejpam-6481	184	24	1)ξ−1	1)ξ−1	NUM
ejpam-6481	184	25	∣∣f	∣∣f	NOUN
ejpam-6481	184	26	(	(	PUNCT
ejpam-6481	184	27	s	s	NOUN
ejpam-6481	184	28	+	+	X
ejpam-6481	184	29	ξ	ξ	X
ejpam-6481	184	30	−	−	NOUN
ejpam-6481	184	31	1	1	NUM
ejpam-6481	184	32	,	,	PUNCT
ejpam-6481	184	33	g(s	g(s	NOUN
ejpam-6481	184	34	+	+	CCONJ
ejpam-6481	184	35	ξ	ξ	X
ejpam-6481	184	36	−	−	NOUN
ejpam-6481	184	37	1	1	NUM
ejpam-6481	184	38	)	)	PUNCT
ejpam-6481	184	39	)	)	PUNCT
ejpam-6481	184	40	−g(s	−g(s	NOUN
ejpam-6481	185	1	+	+	CCONJ
ejpam-6481	186	1	ξ	ξ	X
ejpam-6481	186	2	−	−	NOUN
ejpam-6481	186	3	1	1	NUM
ejpam-6481	186	4	,	,	PUNCT
ejpam-6481	186	5	g(s	g(s	NOUN
ejpam-6481	186	6	+	+	CCONJ
ejpam-6481	186	7	ξ	ξ	X
ejpam-6481	186	8	−	−	NOUN
ejpam-6481	186	9	1	1	NUM
ejpam-6481	186	10	)	)	PUNCT
ejpam-6481	186	11	)	)	PUNCT
ejpam-6481	187	1	∣∣	∣∣	NUM
ejpam-6481	187	2	,	,	PUNCT
ejpam-6481	187	3	≤	≤	NUM
ejpam-6481	187	4	f	f	X
ejpam-6481	187	5	γ(ξ	γ(ξ	PROPN
ejpam-6481	187	6	)	)	PUNCT
ejpam-6481	187	7	t−ξ∑	t−ξ∑	NUM
ejpam-6481	187	8	s=0	s=0	X
ejpam-6481	187	9	(	(	PUNCT
ejpam-6481	187	10	t−	t−	PROPN
ejpam-6481	187	11	s−	s−	PROPN
ejpam-6481	187	12	1)ξ−1	1)ξ−1	NUM
ejpam-6481	187	13	∣∣g(s	∣∣g(s	NOUN
ejpam-6481	187	14	+	+	CCONJ
ejpam-6481	187	15	ξ	ξ	PROPN
ejpam-6481	187	16	−	−	PROPN
ejpam-6481	187	17	1))−	1))−	NUM
ejpam-6481	187	18	ḡ(s	ḡ(s	PROPN
ejpam-6481	187	19	+	+	CCONJ
ejpam-6481	188	1	ξ	ξ	X
ejpam-6481	188	2	−	−	NOUN
ejpam-6481	188	3	1	1	NUM
ejpam-6481	188	4	)	)	PUNCT
ejpam-6481	188	5	)	)	PUNCT
ejpam-6481	188	6	∣∣	∣∣	NOUN
ejpam-6481	188	7	,	,	PUNCT
ejpam-6481	188	8	≤	≤	NUM
ejpam-6481	188	9	f∥g	f∥g	NOUN
ejpam-6481	188	10	−	−	PROPN
ejpam-6481	188	11	ḡ∥	ḡ∥	PUNCT
ejpam-6481	188	12	γ(ξ	γ(ξ	PROPN
ejpam-6481	188	13	)	)	PUNCT
ejpam-6481	188	14	t−ξ∑	t−ξ∑	NUM
ejpam-6481	188	15	s=0	s=0	X
ejpam-6481	188	16	(	(	PUNCT
ejpam-6481	188	17	t−	t−	PROPN
ejpam-6481	188	18	s−	s−	PROPN
ejpam-6481	188	19	1)ξ−1	1)ξ−1	NUM
ejpam-6481	188	20	,	,	PUNCT
ejpam-6481	188	21	≤	≤	NUM
ejpam-6481	188	22	dψf∥g	dψf∥g	NOUN
ejpam-6481	188	23	−	−	NOUN
ejpam-6481	188	24	ḡ∥.	ḡ∥.	X
ejpam-6481	188	25	thus	thus	ADV
ejpam-6481	188	26	∥(ψg	∥(ψg	NOUN
ejpam-6481	188	27	)	)	PUNCT
ejpam-6481	188	28	−	−	PROPN
ejpam-6481	189	1	(	(	PUNCT
ejpam-6481	189	2	ψḡ)∥	ψḡ)∥	NOUN
ejpam-6481	189	3	≤	≤	PROPN
ejpam-6481	189	4	∥g	∥g	PROPN
ejpam-6481	189	5	−	−	PROPN
ejpam-6481	190	1	ḡ∥	ḡ∥	PROPN
ejpam-6481	191	1	,	,	PUNCT
ejpam-6481	191	2	since	since	SCONJ
ejpam-6481	191	3	ψ	ψ	NOUN
ejpam-6481	191	4	is	be	AUX
ejpam-6481	191	5	a	a	DET
ejpam-6481	191	6	contraction	contraction	NOUN
ejpam-6481	191	7	,	,	PUNCT
ejpam-6481	191	8	there	there	PRON
ejpam-6481	191	9	is	be	VERB
ejpam-6481	191	10	a	a	DET
ejpam-6481	191	11	unique	unique	ADJ
ejpam-6481	191	12	fixed	fix	VERB
ejpam-6481	191	13	point	point	NOUN
ejpam-6481	191	14	of	of	ADP
ejpam-6481	191	15	ψ	ψ	PRON
ejpam-6481	191	16	that	that	PRON
ejpam-6481	191	17	is	be	AUX
ejpam-6481	191	18	also	also	ADV
ejpam-6481	191	19	a	a	DET
ejpam-6481	191	20	unique	unique	ADJ
ejpam-6481	191	21	solution	solution	NOUN
ejpam-6481	191	22	of	of	ADP
ejpam-6481	191	23	the	the	DET
ejpam-6481	191	24	system	system	NOUN
ejpam-6481	191	25	(	(	PUNCT
ejpam-6481	191	26	2	2	NUM
ejpam-6481	191	27	)	)	PUNCT
ejpam-6481	191	28	according	accord	VERB
ejpam-6481	191	29	to	to	ADP
ejpam-6481	191	30	the	the	DET
ejpam-6481	191	31	banach	banach	ADV
ejpam-6481	191	32	fixed	fix	VERB
ejpam-6481	191	33	-	-	PUNCT
ejpam-6481	191	34	point	point	NOUN
ejpam-6481	191	35	theorem	theorem	NOUN
ejpam-6481	191	36	(	(	PUNCT
ejpam-6481	191	37	1	1	NUM
ejpam-6481	191	38	)	)	PUNCT
ejpam-6481	191	39	.	.	PUNCT
ejpam-6481	192	1	here	here	ADV
ejpam-6481	192	2	,	,	PUNCT
ejpam-6481	192	3	we	we	PRON
ejpam-6481	192	4	deduce	deduce	VERB
ejpam-6481	192	5	some	some	DET
ejpam-6481	192	6	results	result	NOUN
ejpam-6481	192	7	for	for	ADP
ejpam-6481	192	8	stability	stability	NOUN
ejpam-6481	192	9	analysis	analysis	NOUN
ejpam-6481	192	10	.	.	PUNCT
ejpam-6481	193	1	|c∆ξg(t)−	|c∆ξg(t)−	X
ejpam-6481	194	1	f	f	X
ejpam-6481	194	2	(	(	PUNCT
ejpam-6481	194	3	s	s	NOUN
ejpam-6481	194	4	+	+	X
ejpam-6481	194	5	ξ	ξ	X
ejpam-6481	194	6	−	−	NOUN
ejpam-6481	194	7	1	1	NUM
ejpam-6481	194	8	,	,	PUNCT
ejpam-6481	194	9	g(s	g(s	NOUN
ejpam-6481	194	10	+	+	CCONJ
ejpam-6481	194	11	ξ	ξ	X
ejpam-6481	194	12	−	−	PROPN
ejpam-6481	194	13	1))|	1))|	PROPN
ejpam-6481	194	14	≤	≤	PROPN
ejpam-6481	194	15	ϵ	ϵ	X
ejpam-6481	194	16	,	,	PUNCT
ejpam-6481	194	17	t	t	PROPN
ejpam-6481	194	18	∈	∈	PROPN
ejpam-6481	195	1	[	[	X
ejpam-6481	195	2	0	0	NUM
ejpam-6481	195	3	,	,	PUNCT
ejpam-6481	195	4	b]n0	b]n0	NOUN
ejpam-6481	195	5	.	.	PUNCT
ejpam-6481	196	1	(	(	PUNCT
ejpam-6481	196	2	14	14	NUM
ejpam-6481	196	3	)	)	PUNCT
ejpam-6481	196	4	definition	definition	NOUN
ejpam-6481	196	5	3	3	NUM
ejpam-6481	196	6	.	.	PUNCT
ejpam-6481	197	1	[	[	X
ejpam-6481	197	2	28	28	NUM
ejpam-6481	197	3	]	]	X
ejpam-6481	197	4	the	the	DET
ejpam-6481	197	5	problem	problem	NOUN
ejpam-6481	197	6	(	(	PUNCT
ejpam-6481	197	7	2	2	X
ejpam-6481	197	8	)	)	PUNCT
ejpam-6481	197	9	is	be	AUX
ejpam-6481	197	10	uh	uh	INTJ
ejpam-6481	197	11	stable	stable	ADJ
ejpam-6481	197	12	for	for	ADP
ejpam-6481	197	13	any	any	PRON
ejpam-6481	197	14	ϵ	ϵ	X
ejpam-6481	197	15	>	>	X
ejpam-6481	197	16	0	0	NUM
ejpam-6481	197	17	,	,	PUNCT
ejpam-6481	197	18	if	if	SCONJ
ejpam-6481	197	19	we	we	PRON
ejpam-6481	197	20	have	have	VERB
ejpam-6481	197	21	a	a	DET
ejpam-6481	197	22	constant	constant	ADJ
ejpam-6481	197	23	dg	dg	NOUN
ejpam-6481	197	24	>	>	X
ejpam-6481	197	25	0	0	NUM
ejpam-6481	197	26	which	which	PRON
ejpam-6481	197	27	obeys	obey	VERB
ejpam-6481	197	28	the	the	DET
ejpam-6481	197	29	inequality	inequality	NOUN
ejpam-6481	197	30	(	(	PUNCT
ejpam-6481	197	31	14	14	NUM
ejpam-6481	197	32	)	)	PUNCT
ejpam-6481	197	33	such	such	ADJ
ejpam-6481	197	34	that	that	SCONJ
ejpam-6481	197	35	|g(t)−	|g(t)−	PROPN
ejpam-6481	197	36	ḡ(t)|	ḡ(t)|	ADJ
ejpam-6481	197	37	≤	≤	NUM
ejpam-6481	197	38	dgϵ	dgϵ	NOUN
ejpam-6481	197	39	,	,	PUNCT
ejpam-6481	197	40	t	t	PROPN
ejpam-6481	197	41	∈	∈	PROPN
ejpam-6481	198	1	[	[	X
ejpam-6481	198	2	ξ	ξ	X
ejpam-6481	198	3	−	−	PROPN
ejpam-6481	198	4	1	1	NUM
ejpam-6481	198	5	,	,	PUNCT
ejpam-6481	198	6	b+	b+	VERB
ejpam-6481	198	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	198	8	.	.	PUNCT
ejpam-6481	199	1	(	(	PUNCT
ejpam-6481	199	2	15	15	NUM
ejpam-6481	199	3	)	)	PUNCT
ejpam-6481	199	4	the	the	DET
ejpam-6481	199	5	generalization	generalization	NOUN
ejpam-6481	199	6	of	of	ADP
ejpam-6481	199	7	equation	equation	NOUN
ejpam-6481	199	8	(	(	PUNCT
ejpam-6481	199	9	2	2	X
ejpam-6481	199	10	)	)	PUNCT
ejpam-6481	199	11	if	if	SCONJ
ejpam-6481	199	12	the	the	DET
ejpam-6481	199	13	constant	constant	ADJ
ejpam-6481	199	14	dgϵ	dgϵ	NOUN
ejpam-6481	199	15	in	in	ADP
ejpam-6481	199	16	inequality	inequality	NOUN
ejpam-6481	199	17	(	(	PUNCT
ejpam-6481	199	18	14	14	NUM
ejpam-6481	199	19	)	)	PUNCT
ejpam-6481	199	20	is	be	AUX
ejpam-6481	199	21	replaced	replace	VERB
ejpam-6481	199	22	by	by	ADP
ejpam-6481	199	23	the	the	DET
ejpam-6481	199	24	function	function	NOUN
ejpam-6481	199	25	ϕ(ϵ	ϕ(ϵ	PROPN
ejpam-6481	199	26	)	)	PUNCT
ejpam-6481	199	27	,	,	PUNCT
ejpam-6481	199	28	uh	uh	INTJ
ejpam-6481	199	29	stability	stability	NOUN
ejpam-6481	199	30	is	be	AUX
ejpam-6481	199	31	maintained	maintain	VERB
ejpam-6481	199	32	,	,	PUNCT
ejpam-6481	199	33	where	where	SCONJ
ejpam-6481	199	34	ϕ	ϕ	PROPN
ejpam-6481	199	35	∈	∈	PROPN
ejpam-6481	199	36	c(r+,r+	c(r+,r+	PROPN
ejpam-6481	199	37	)	)	PUNCT
ejpam-6481	199	38	and	and	CCONJ
ejpam-6481	199	39	ϕ(0	ϕ(0	PROPN
ejpam-6481	199	40	)	)	PUNCT
ejpam-6481	200	1	=	=	NOUN
ejpam-6481	200	2	0	0	X
ejpam-6481	200	3	.	.	PUNCT
ejpam-6481	200	4	remark	remark	NOUN
ejpam-6481	200	5	2	2	NUM
ejpam-6481	200	6	.	.	PUNCT
ejpam-6481	201	1	if	if	SCONJ
ejpam-6481	201	2	g	g	PROPN
ejpam-6481	201	3	∈	∈	PROPN
ejpam-6481	201	4	x	x	PUNCT
ejpam-6481	201	5	is	be	AUX
ejpam-6481	201	6	a	a	DET
ejpam-6481	201	7	solution	solution	NOUN
ejpam-6481	201	8	to	to	ADP
ejpam-6481	201	9	inequality	inequality	NOUN
ejpam-6481	201	10	(	(	PUNCT
ejpam-6481	201	11	14	14	NUM
ejpam-6481	201	12	)	)	PUNCT
ejpam-6481	201	13	and	and	CCONJ
ejpam-6481	201	14	there	there	PRON
ejpam-6481	201	15	exists	exist	VERB
ejpam-6481	201	16	θ	θ	NOUN
ejpam-6481	201	17	:	:	PUNCT
ejpam-6481	202	1	[	[	X
ejpam-6481	202	2	ξ−1	ξ−1	NOUN
ejpam-6481	202	3	,	,	PUNCT
ejpam-6481	202	4	b+ξ]nξ−1	b+ξ]nξ−1	ADJ
ejpam-6481	202	5	→	→	SYM
ejpam-6481	202	6	r	r	NOUN
ejpam-6481	202	7	,	,	PUNCT
ejpam-6481	202	8	∋	∋	NOUN
ejpam-6481	202	9	(	(	PUNCT
ejpam-6481	202	10	i	i	NOUN
ejpam-6481	202	11	)	)	PUNCT
ejpam-6481	203	1	|θ(s	|θ(s	NOUN
ejpam-6481	203	2	+	+	NUM
ejpam-6481	203	3	ξ	ξ	PROPN
ejpam-6481	203	4	−	−	PROPN
ejpam-6481	203	5	1)|	1)|	NUM
ejpam-6481	203	6	≤	≤	NUM
ejpam-6481	203	7	ϵ	ϵ	X
ejpam-6481	203	8	,	,	PUNCT
ejpam-6481	203	9	t	t	PROPN
ejpam-6481	203	10	∈	∈	PROPN
ejpam-6481	204	1	[	[	X
ejpam-6481	204	2	0	0	NUM
ejpam-6481	204	3	,	,	PUNCT
ejpam-6481	204	4	b]n0	b]n0	NOUN
ejpam-6481	204	5	,	,	PUNCT
ejpam-6481	204	6	(	(	PUNCT
ejpam-6481	204	7	ii	ii	NOUN
ejpam-6481	204	8	)	)	PUNCT
ejpam-6481	204	9	c∆ξg(t	c∆ξg(t	NOUN
ejpam-6481	204	10	)	)	PUNCT
ejpam-6481	205	1	=	=	SYM
ejpam-6481	205	2	f	f	X
ejpam-6481	205	3	(	(	PUNCT
ejpam-6481	205	4	s	s	NOUN
ejpam-6481	205	5	+	+	X
ejpam-6481	205	6	ξ	ξ	X
ejpam-6481	205	7	−	−	NOUN
ejpam-6481	205	8	1	1	NUM
ejpam-6481	205	9	,	,	PUNCT
ejpam-6481	205	10	g(s	g(s	NOUN
ejpam-6481	205	11	+	+	CCONJ
ejpam-6481	205	12	ξ	ξ	X
ejpam-6481	205	13	−	−	NOUN
ejpam-6481	205	14	1	1	NUM
ejpam-6481	205	15	)	)	PUNCT
ejpam-6481	205	16	)	)	PUNCT
ejpam-6481	206	1	+	+	CCONJ
ejpam-6481	206	2	θ(s	θ(s	NOUN
ejpam-6481	206	3	+	+	CCONJ
ejpam-6481	206	4	ξ	ξ	X
ejpam-6481	206	5	−	−	PROPN
ejpam-6481	206	6	1	1	NUM
ejpam-6481	206	7	)	)	PUNCT
ejpam-6481	206	8	,	,	PUNCT
ejpam-6481	206	9	t	t	PROPN
ejpam-6481	206	10	∈	∈	PROPN
ejpam-6481	207	1	[	[	X
ejpam-6481	207	2	0	0	NUM
ejpam-6481	207	3	,	,	PUNCT
ejpam-6481	207	4	b]n0	b]n0	NOUN
ejpam-6481	207	5	.	.	PUNCT
ejpam-6481	208	1	s.	s.	PROPN
ejpam-6481	208	2	a.shah	a.shah	PROPN
ejpam-6481	208	3	et	et	PROPN
ejpam-6481	208	4	al	al	PROPN
ejpam-6481	208	5	.	.	PUNCT
ejpam-6481	208	6	/	/	SYM
ejpam-6481	208	7	eur	eur	PROPN
ejpam-6481	208	8	.	.	PUNCT
ejpam-6481	209	1	j.	j.	PROPN
ejpam-6481	209	2	pure	pure	PROPN
ejpam-6481	209	3	appl	appl	PROPN
ejpam-6481	209	4	.	.	PROPN
ejpam-6481	209	5	math	math	PROPN
ejpam-6481	209	6	,	,	PUNCT
ejpam-6481	209	7	18	18	NUM
ejpam-6481	209	8	(	(	PUNCT
ejpam-6481	209	9	3	3	NUM
ejpam-6481	209	10	)	)	PUNCT
ejpam-6481	209	11	(	(	PUNCT
ejpam-6481	209	12	2025	2025	NUM
ejpam-6481	209	13	)	)	PUNCT
ejpam-6481	209	14	,	,	PUNCT
ejpam-6481	209	15	6481	6481	NUM
ejpam-6481	209	16	9	9	NUM
ejpam-6481	209	17	of	of	ADP
ejpam-6481	209	18	19	19	NUM
ejpam-6481	209	19	theorem	theorem	NOUN
ejpam-6481	209	20	5	5	NUM
ejpam-6481	209	21	.	.	PUNCT
ejpam-6481	210	1	in	in	ADP
ejpam-6481	210	2	view	view	NOUN
ejpam-6481	210	3	of	of	ADP
ejpam-6481	210	4	(	(	PUNCT
ejpam-6481	210	5	c2	c2	PROPN
ejpam-6481	210	6	)	)	PUNCT
ejpam-6481	210	7	,	,	PUNCT
ejpam-6481	210	8	the	the	DET
ejpam-6481	210	9	suggested	suggest	VERB
ejpam-6481	210	10	model	model	NOUN
ejpam-6481	210	11	(	(	PUNCT
ejpam-6481	210	12	2	2	NUM
ejpam-6481	210	13	)	)	PUNCT
ejpam-6481	210	14	is	be	AUX
ejpam-6481	210	15	uh	uh	INTJ
ejpam-6481	210	16	stable	stable	ADJ
ejpam-6481	210	17	if	if	SCONJ
ejpam-6481	210	18	k	k	PROPN
ejpam-6481	210	19	<	<	X
ejpam-6481	210	20	d−1	d−1	PROPN
ejpam-6481	210	21	ψ	ψ	PROPN
ejpam-6481	210	22	.	.	PUNCT
ejpam-6481	211	1	proof	proof	NOUN
ejpam-6481	211	2	.	.	PUNCT
ejpam-6481	212	1	take	take	VERB
ejpam-6481	212	2	g	g	NOUN
ejpam-6481	212	3	,	,	PUNCT
ejpam-6481	212	4	ḡ	ḡ	VERB
ejpam-6481	212	5	∈	∈	PROPN
ejpam-6481	212	6	x	x	PRON
ejpam-6481	212	7	be	be	AUX
ejpam-6481	212	8	the	the	DET
ejpam-6481	212	9	solution	solution	NOUN
ejpam-6481	212	10	of	of	ADP
ejpam-6481	212	11	equation	equation	NOUN
ejpam-6481	212	12	(	(	PUNCT
ejpam-6481	212	13	2	2	X
ejpam-6481	212	14	)	)	PUNCT
ejpam-6481	212	15	using	use	VERB
ejpam-6481	212	16	the	the	DET
ejpam-6481	212	17	remark	remark	NOUN
ejpam-6481	212	18	2	2	NUM
ejpam-6481	212	19	,	,	PUNCT
ejpam-6481	212	20	one	one	NUM
ejpam-6481	212	21	has	have	VERB
ejpam-6481	212	22	g(t	g(t	PROPN
ejpam-6481	212	23	)	)	PUNCT
ejpam-6481	213	1	=	=	SYM
ejpam-6481	213	2	g(0	g(0	PROPN
ejpam-6481	213	3	)	)	PUNCT
ejpam-6481	213	4	+	+	CCONJ
ejpam-6481	213	5	1	1	NUM
ejpam-6481	213	6	γ(ξ	γ(ξ	NOUN
ejpam-6481	213	7	)	)	PUNCT
ejpam-6481	213	8	t−ξ∑	t−ξ∑	NUM
ejpam-6481	213	9	s=0	s=0	X
ejpam-6481	213	10	(	(	PUNCT
ejpam-6481	213	11	t−	t−	PROPN
ejpam-6481	213	12	s−	s−	PROPN
ejpam-6481	213	13	1)ξ−1f	1)ξ−1f	NUM
ejpam-6481	213	14	(	(	PUNCT
ejpam-6481	213	15	s	s	X
ejpam-6481	213	16	+	+	X
ejpam-6481	213	17	ξ	ξ	X
ejpam-6481	213	18	−	−	NOUN
ejpam-6481	213	19	1	1	NUM
ejpam-6481	213	20	,	,	PUNCT
ejpam-6481	213	21	g(s	g(s	NOUN
ejpam-6481	213	22	+	+	CCONJ
ejpam-6481	213	23	ξ	ξ	X
ejpam-6481	213	24	−	−	NOUN
ejpam-6481	213	25	1	1	NUM
ejpam-6481	213	26	)	)	PUNCT
ejpam-6481	213	27	)	)	PUNCT
ejpam-6481	214	1	+	+	CCONJ
ejpam-6481	214	2	θ(s	θ(s	NOUN
ejpam-6481	214	3	+	+	CCONJ
ejpam-6481	214	4	ξ	ξ	X
ejpam-6481	214	5	−	−	NOUN
ejpam-6481	214	6	1	1	NUM
ejpam-6481	214	7	)	)	PUNCT
ejpam-6481	214	8	.	.	PUNCT
ejpam-6481	215	1	(	(	PUNCT
ejpam-6481	215	2	16	16	NUM
ejpam-6481	215	3	)	)	PUNCT
ejpam-6481	215	4	in	in	ADP
ejpam-6481	215	5	view	view	NOUN
ejpam-6481	215	6	of	of	ADP
ejpam-6481	215	7	remark	remark	NOUN
ejpam-6481	215	8	2	2	NUM
ejpam-6481	215	9	,	,	PUNCT
ejpam-6481	215	10	for	for	ADP
ejpam-6481	215	11	t	t	PROPN
ejpam-6481	215	12	∈	∈	PROPN
ejpam-6481	216	1	[	[	X
ejpam-6481	216	2	ξ	ξ	X
ejpam-6481	216	3	−	−	PROPN
ejpam-6481	216	4	1	1	NUM
ejpam-6481	216	5	,	,	PUNCT
ejpam-6481	216	6	b+	b+	VERB
ejpam-6481	216	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	216	8	}	}	PUNCT
ejpam-6481	216	9	,	,	PUNCT
ejpam-6481	216	10	we	we	PRON
ejpam-6481	216	11	get∥∥∥g(t)−	get∥∥∥g(t)−	VERB
ejpam-6481	216	12	(	(	PUNCT
ejpam-6481	216	13	g(0	g(0	PROPN
ejpam-6481	216	14	)	)	PUNCT
ejpam-6481	216	15	+	+	CCONJ
ejpam-6481	216	16	1	1	NUM
ejpam-6481	216	17	γ(ξ	γ(ξ	NOUN
ejpam-6481	216	18	)	)	PUNCT
ejpam-6481	216	19	t−ξ∑	t−ξ∑	NUM
ejpam-6481	216	20	s=0	s=0	X
ejpam-6481	216	21	(	(	PUNCT
ejpam-6481	216	22	t−	t−	PROPN
ejpam-6481	216	23	s−	s−	PROPN
ejpam-6481	216	24	1)ξ−1f	1)ξ−1f	NUM
ejpam-6481	216	25	(	(	PUNCT
ejpam-6481	216	26	s	s	X
ejpam-6481	216	27	+	+	X
ejpam-6481	216	28	ξ	ξ	X
ejpam-6481	216	29	−	−	NOUN
ejpam-6481	216	30	1	1	NUM
ejpam-6481	216	31	,	,	PUNCT
ejpam-6481	216	32	g(s	g(s	NOUN
ejpam-6481	216	33	+	+	CCONJ
ejpam-6481	216	34	ξ	ξ	X
ejpam-6481	216	35	−	−	NOUN
ejpam-6481	216	36	1	1	NUM
ejpam-6481	216	37	)	)	PUNCT
ejpam-6481	216	38	)	)	PUNCT
ejpam-6481	216	39	)	)	PUNCT
ejpam-6481	216	40	∥∥∥	∥∥∥	PROPN
ejpam-6481	216	41	≤	≤	NUM
ejpam-6481	216	42	dψϵ.	dψϵ.	NOUN
ejpam-6481	216	43	(	(	PUNCT
ejpam-6481	216	44	17	17	NUM
ejpam-6481	216	45	)	)	PUNCT
ejpam-6481	216	46	for	for	ADP
ejpam-6481	216	47	t	t	PROPN
ejpam-6481	216	48	∈	∈	PROPN
ejpam-6481	217	1	[	[	X
ejpam-6481	217	2	ξ	ξ	X
ejpam-6481	217	3	−	−	PROPN
ejpam-6481	217	4	1	1	NUM
ejpam-6481	217	5	,	,	PUNCT
ejpam-6481	217	6	b+	b+	VERB
ejpam-6481	217	7	ξ]nξ−1	ξ]nξ−1	PROPN
ejpam-6481	217	8	,	,	PUNCT
ejpam-6481	217	9	one	one	PRON
ejpam-6481	217	10	has	have	VERB
ejpam-6481	217	11	|g(t)−	|g(t)−	PROPN
ejpam-6481	217	12	ḡ(t)|	ḡ(t)|	PROPN
ejpam-6481	217	13	=	=	SYM
ejpam-6481	217	14	∣∣∣g(t)−	∣∣∣g(t)−	PROPN
ejpam-6481	217	15	(	(	PUNCT
ejpam-6481	217	16	g(0	g(0	PROPN
ejpam-6481	217	17	)	)	PUNCT
ejpam-6481	218	1	+	+	CCONJ
ejpam-6481	218	2	1	1	NUM
ejpam-6481	218	3	γ(ξ	γ(ξ	NOUN
ejpam-6481	218	4	)	)	PUNCT
ejpam-6481	218	5	t−ξ∑	t−ξ∑	NUM
ejpam-6481	218	6	s=0	s=0	X
ejpam-6481	218	7	(	(	PUNCT
ejpam-6481	218	8	t−	t−	PROPN
ejpam-6481	218	9	s−	s−	PROPN
ejpam-6481	218	10	1)ξ−1f	1)ξ−1f	NUM
ejpam-6481	218	11	(	(	PUNCT
ejpam-6481	218	12	s	s	X
ejpam-6481	218	13	+	+	X
ejpam-6481	218	14	ξ	ξ	X
ejpam-6481	218	15	−	−	NOUN
ejpam-6481	218	16	1	1	NUM
ejpam-6481	218	17	,	,	PUNCT
ejpam-6481	218	18	g(s	g(s	NOUN
ejpam-6481	218	19	+	+	CCONJ
ejpam-6481	218	20	ξ	ξ	X
ejpam-6481	218	21	−	−	NOUN
ejpam-6481	218	22	1	1	NUM
ejpam-6481	218	23	)	)	PUNCT
ejpam-6481	218	24	)	)	PUNCT
ejpam-6481	218	25	)	)	PUNCT
ejpam-6481	218	26	∣∣∣	∣∣∣	ADJ
ejpam-6481	218	27	,	,	PUNCT
ejpam-6481	218	28	≤	≤	NUM
ejpam-6481	218	29	dψϵ+	dψϵ+	NOUN
ejpam-6481	218	30	1	1	NUM
ejpam-6481	218	31	γ(ξ	γ(ξ	PROPN
ejpam-6481	218	32	)	)	PUNCT
ejpam-6481	218	33	t−ξ∑	t−ξ∑	NUM
ejpam-6481	218	34	s=0	s=0	X
ejpam-6481	218	35	(	(	PUNCT
ejpam-6481	218	36	t−	t−	PROPN
ejpam-6481	218	37	s−	s−	PROPN
ejpam-6481	218	38	1)ξ−1	1)ξ−1	NUM
ejpam-6481	218	39	×	×	NOUN
ejpam-6481	218	40	|f	|f	PROPN
ejpam-6481	218	41	(	(	PUNCT
ejpam-6481	218	42	s	s	NOUN
ejpam-6481	218	43	+	+	X
ejpam-6481	218	44	ξ	ξ	X
ejpam-6481	218	45	−	−	NOUN
ejpam-6481	218	46	1	1	NUM
ejpam-6481	218	47	,	,	PUNCT
ejpam-6481	218	48	g(s	g(s	NOUN
ejpam-6481	218	49	+	+	CCONJ
ejpam-6481	218	50	ξ	ξ	X
ejpam-6481	218	51	−	−	PROPN
ejpam-6481	218	52	1))−	1))−	NUM
ejpam-6481	218	53	f	f	NOUN
ejpam-6481	218	54	(	(	PUNCT
ejpam-6481	218	55	s	s	NOUN
ejpam-6481	218	56	+	+	X
ejpam-6481	218	57	ξ	ξ	X
ejpam-6481	218	58	−	−	NOUN
ejpam-6481	218	59	1	1	NUM
ejpam-6481	218	60	,	,	PUNCT
ejpam-6481	218	61	ḡ(s	ḡ(s	PROPN
ejpam-6481	218	62	+	+	CCONJ
ejpam-6481	219	1	ξ	ξ	X
ejpam-6481	219	2	−	−	PROPN
ejpam-6481	219	3	1))|	1))|	NOUN
ejpam-6481	219	4	,	,	PUNCT
ejpam-6481	219	5	≤	≤	NUM
ejpam-6481	219	6	dψϵ+	dψϵ+	NOUN
ejpam-6481	219	7	1	1	NUM
ejpam-6481	219	8	γ(ξ	γ(ξ	PROPN
ejpam-6481	219	9	)	)	PUNCT
ejpam-6481	219	10	t−ξ∑	t−ξ∑	NUM
ejpam-6481	219	11	s=0	s=0	X
ejpam-6481	219	12	(	(	PUNCT
ejpam-6481	219	13	t−	t−	PROPN
ejpam-6481	219	14	s−	s−	PROPN
ejpam-6481	219	15	1)ξ−1k∥g	1)ξ−1k∥g	NUM
ejpam-6481	219	16	−	−	NOUN
ejpam-6481	219	17	ḡ∥	ḡ∥	PUNCT
ejpam-6481	219	18	(	(	PUNCT
ejpam-6481	219	19	18	18	NUM
ejpam-6481	219	20	)	)	PUNCT
ejpam-6481	219	21	which	which	PRON
ejpam-6481	219	22	further	far	ADV
ejpam-6481	219	23	means	mean	VERB
ejpam-6481	219	24	∥g	∥g	PROPN
ejpam-6481	219	25	−	−	PROPN
ejpam-6481	219	26	ḡ∥	ḡ∥	PROPN
ejpam-6481	219	27	≤	≤	PROPN
ejpam-6481	219	28	[	[	PUNCT
ejpam-6481	219	29	dψ	dψ	X
ejpam-6481	219	30	1−kdψ	1−kdψ	PROPN
ejpam-6481	219	31	]	]	PUNCT
ejpam-6481	219	32	ϵ	ϵ	X
ejpam-6481	219	33	=	=	PUNCT
ejpam-6481	219	34	dgϵ.	dgϵ.	X
ejpam-6481	219	35	(	(	PUNCT
ejpam-6481	219	36	19	19	NUM
ejpam-6481	219	37	)	)	PUNCT
ejpam-6481	219	38	also	also	ADV
ejpam-6481	219	39	set	set	VERB
ejpam-6481	219	40	dg	dg	NOUN
ejpam-6481	220	1	=	=	SYM
ejpam-6481	220	2	dψ	dψ	PROPN
ejpam-6481	220	3	1−kdψ	1−kdψ	PROPN
ejpam-6481	220	4	>	>	X
ejpam-6481	220	5	0	0	PROPN
ejpam-6481	220	6	,	,	PUNCT
ejpam-6481	220	7	we	we	PRON
ejpam-6481	220	8	conclude	conclude	VERB
ejpam-6481	220	9	that	that	SCONJ
ejpam-6481	220	10	solution	solution	NOUN
ejpam-6481	220	11	of	of	ADP
ejpam-6481	220	12	(	(	PUNCT
ejpam-6481	220	13	2	2	NUM
ejpam-6481	220	14	)	)	PUNCT
ejpam-6481	220	15	is	be	AUX
ejpam-6481	220	16	uh	uh	INTJ
ejpam-6481	220	17	stable	stable	ADJ
ejpam-6481	220	18	.	.	PUNCT
ejpam-6481	221	1	it	it	PRON
ejpam-6481	221	2	is	be	AUX
ejpam-6481	221	3	possible	possible	ADJ
ejpam-6481	221	4	to	to	PART
ejpam-6481	221	5	determine	determine	VERB
ejpam-6481	221	6	that	that	SCONJ
ejpam-6481	221	7	the	the	DET
ejpam-6481	221	8	solution	solution	NOUN
ejpam-6481	221	9	of	of	ADP
ejpam-6481	221	10	model	model	NOUN
ejpam-6481	221	11	(	(	PUNCT
ejpam-6481	221	12	2	2	X
ejpam-6481	221	13	)	)	PUNCT
ejpam-6481	221	14	satisfies	satisfy	VERB
ejpam-6481	221	15	the	the	DET
ejpam-6481	221	16	requirements	requirement	NOUN
ejpam-6481	221	17	for	for	ADP
ejpam-6481	221	18	generalized	generalized	ADJ
ejpam-6481	221	19	uh	uh	INTJ
ejpam-6481	221	20	stability	stability	NOUN
ejpam-6481	221	21	by	by	ADP
ejpam-6481	221	22	choosing	choose	VERB
ejpam-6481	221	23	ϕ(ϵ	ϕ(ϵ	PRON
ejpam-6481	221	24	)	)	PUNCT
ejpam-6481	222	1	=	=	SYM
ejpam-6481	222	2	dgϵ	dgϵ	NOUN
ejpam-6481	222	3	,	,	PUNCT
ejpam-6481	222	4	where	where	SCONJ
ejpam-6481	222	5	ϕ(0	ϕ(0	NOUN
ejpam-6481	222	6	)	)	PUNCT
ejpam-6481	222	7	=	=	PUNCT
ejpam-6481	223	1	0	0	NUM
ejpam-6481	223	2	.	.	NOUN
ejpam-6481	224	1	4	4	X
ejpam-6481	224	2	.	.	X
ejpam-6481	224	3	qualitative	qualitative	ADJ
ejpam-6481	224	4	results	result	NOUN
ejpam-6481	224	5	of	of	ADP
ejpam-6481	224	6	model	model	NOUN
ejpam-6481	224	7	(	(	PUNCT
ejpam-6481	224	8	2	2	NUM
ejpam-6481	224	9	)	)	PUNCT
ejpam-6481	224	10	here	here	ADV
ejpam-6481	224	11	,	,	PUNCT
ejpam-6481	224	12	we	we	PRON
ejpam-6481	224	13	deduce	deduce	VERB
ejpam-6481	224	14	some	some	DET
ejpam-6481	224	15	results	result	NOUN
ejpam-6481	224	16	related	relate	VERB
ejpam-6481	224	17	to	to	ADP
ejpam-6481	224	18	positivity	positivity	NOUN
ejpam-6481	224	19	,	,	PUNCT
ejpam-6481	224	20	equilibrium	equilibrium	NOUN
ejpam-6481	224	21	points	point	NOUN
ejpam-6481	224	22	and	and	CCONJ
ejpam-6481	224	23	reproductive	reproductive	ADJ
ejpam-6481	224	24	number	number	NOUN
ejpam-6481	224	25	.	.	PUNCT
ejpam-6481	225	1	also	also	ADV
ejpam-6481	225	2	,	,	PUNCT
ejpam-6481	225	3	stability	stability	NOUN
ejpam-6481	225	4	result	result	NOUN
ejpam-6481	225	5	is	be	AUX
ejpam-6481	225	6	deduced	deduce	VERB
ejpam-6481	225	7	.	.	PUNCT
ejpam-6481	226	1	we	we	PRON
ejpam-6481	226	2	see	see	VERB
ejpam-6481	226	3	that	that	SCONJ
ejpam-6481	226	4	from	from	ADP
ejpam-6481	226	5	eq.(9	eq.(9	ADJ
ejpam-6481	226	6	)	)	PUNCT
ejpam-6481	226	7	h(t	h(t	NUM
ejpam-6481	226	8	)	)	PUNCT
ejpam-6481	227	1	=	=	SYM
ejpam-6481	227	2	h(0	h(0	PROPN
ejpam-6481	227	3	)	)	PUNCT
ejpam-6481	227	4	+	+	CCONJ
ejpam-6481	227	5	1	1	NUM
ejpam-6481	227	6	γ(ξ	γ(ξ	NOUN
ejpam-6481	227	7	)	)	PUNCT
ejpam-6481	227	8	t−ξ∑	t−ξ∑	NUM
ejpam-6481	227	9	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	227	10	(	(	PUNCT
ejpam-6481	227	11	t−	t−	PROPN
ejpam-6481	227	12	s−	s−	PROPN
ejpam-6481	227	13	1)ξ−1(λ−	1)ξ−1(λ−	NUM
ejpam-6481	227	14	ηh(t+	ηh(t+	PROPN
ejpam-6481	227	15	ξ	ξ	PROPN
ejpam-6481	227	16	−	−	PROPN
ejpam-6481	227	17	1)v	1)v	NUM
ejpam-6481	227	18	(	(	PUNCT
ejpam-6481	227	19	t+	t+	X
ejpam-6481	227	20	ξ	ξ	X
ejpam-6481	227	21	−	−	PROPN
ejpam-6481	228	1	1)−	1)−	PROPN
ejpam-6481	228	2	δh(t+	δh(t+	PROPN
ejpam-6481	228	3	ξ	ξ	PROPN
ejpam-6481	228	4	−	−	PROPN
ejpam-6481	228	5	1	1	NUM
ejpam-6481	228	6	)	)	PUNCT
ejpam-6481	228	7	)	)	PUNCT
ejpam-6481	229	1	>	>	X
ejpam-6481	229	2	0	0	NUM
ejpam-6481	229	3	i(t	i(t	NOUN
ejpam-6481	229	4	)	)	PUNCT
ejpam-6481	229	5	=	=	SYM
ejpam-6481	229	6	i(0	i(0	PROPN
ejpam-6481	229	7	)	)	PUNCT
ejpam-6481	230	1	+	+	CCONJ
ejpam-6481	230	2	1	1	NUM
ejpam-6481	230	3	γ(ξ	γ(ξ	NOUN
ejpam-6481	230	4	)	)	PUNCT
ejpam-6481	230	5	t−ξ∑	t−ξ∑	NUM
ejpam-6481	230	6	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	230	7	(	(	PUNCT
ejpam-6481	230	8	t−	t−	PROPN
ejpam-6481	230	9	s−	s−	PROPN
ejpam-6481	230	10	1)ξ−1(ηh(t+	1)ξ−1(ηh(t+	NUM
ejpam-6481	230	11	ξ	ξ	PROPN
ejpam-6481	231	1	−	−	PROPN
ejpam-6481	231	2	1)v	1)v	NUM
ejpam-6481	231	3	(	(	PUNCT
ejpam-6481	231	4	t+	t+	X
ejpam-6481	231	5	ξ	ξ	X
ejpam-6481	231	6	−	−	PROPN
ejpam-6481	231	7	1)−	1)−	NUM
ejpam-6481	231	8	γi(t+	γi(t+	PROPN
ejpam-6481	231	9	ξ	ξ	PROPN
ejpam-6481	232	1	−	−	NOUN
ejpam-6481	232	2	1	1	NUM
ejpam-6481	232	3	)	)	PUNCT
ejpam-6481	232	4	)	)	PUNCT
ejpam-6481	233	1	>	>	X
ejpam-6481	234	1	0	0	NUM
ejpam-6481	234	2	,	,	PUNCT
ejpam-6481	234	3	v	v	NOUN
ejpam-6481	234	4	(	(	PUNCT
ejpam-6481	234	5	t	t	NOUN
ejpam-6481	234	6	)	)	PUNCT
ejpam-6481	234	7	=	=	NOUN
ejpam-6481	234	8	v	v	X
ejpam-6481	234	9	(	(	PUNCT
ejpam-6481	234	10	0	0	NUM
ejpam-6481	234	11	)	)	PUNCT
ejpam-6481	234	12	+	+	CCONJ
ejpam-6481	234	13	1	1	NUM
ejpam-6481	234	14	γ(ξ	γ(ξ	NOUN
ejpam-6481	234	15	)	)	PUNCT
ejpam-6481	234	16	t−ξ∑	t−ξ∑	NUM
ejpam-6481	234	17	s=1−ξ	s=1−ξ	ADJ
ejpam-6481	234	18	(	(	PUNCT
ejpam-6481	234	19	t−	t−	PROPN
ejpam-6481	234	20	s−	s−	PROPN
ejpam-6481	234	21	1)ξ−1(λi(t+	1)ξ−1(λi(t+	NUM
ejpam-6481	234	22	ξ	ξ	PRON
ejpam-6481	234	23	−	−	PROPN
ejpam-6481	234	24	1)−	1)−	NUM
ejpam-6481	234	25	µv	µv	NOUN
ejpam-6481	234	26	(	(	PUNCT
ejpam-6481	234	27	t+	t+	NOUN
ejpam-6481	234	28	ξ	ξ	X
ejpam-6481	234	29	−	−	PROPN
ejpam-6481	234	30	1	1	NUM
ejpam-6481	234	31	)	)	PUNCT
ejpam-6481	234	32	>	>	X
ejpam-6481	234	33	0	0	PROPN
ejpam-6481	234	34	,	,	PUNCT
ejpam-6481	234	35	s.	s.	PROPN
ejpam-6481	234	36	a.shah	a.shah	PROPN
ejpam-6481	234	37	et	et	PROPN
ejpam-6481	234	38	al	al	PROPN
ejpam-6481	234	39	.	.	PUNCT
ejpam-6481	234	40	/	/	SYM
ejpam-6481	234	41	eur	eur	PROPN
ejpam-6481	234	42	.	.	PUNCT
ejpam-6481	235	1	j.	j.	PROPN
ejpam-6481	235	2	pure	pure	PROPN
ejpam-6481	235	3	appl	appl	PROPN
ejpam-6481	235	4	.	.	PROPN
ejpam-6481	235	5	math	math	PROPN
ejpam-6481	235	6	,	,	PUNCT
ejpam-6481	235	7	18	18	NUM
ejpam-6481	235	8	(	(	PUNCT
ejpam-6481	235	9	3	3	NUM
ejpam-6481	235	10	)	)	PUNCT
ejpam-6481	235	11	(	(	PUNCT
ejpam-6481	235	12	2025	2025	NUM
ejpam-6481	235	13	)	)	PUNCT
ejpam-6481	235	14	,	,	PUNCT
ejpam-6481	235	15	6481	6481	NUM
ejpam-6481	235	16	10	10	NUM
ejpam-6481	235	17	of	of	ADP
ejpam-6481	235	18	19	19	NUM
ejpam-6481	235	19	which	which	PRON
ejpam-6481	235	20	implies	imply	VERB
ejpam-6481	235	21	that	that	SCONJ
ejpam-6481	235	22	h(t	h(t	PROPN
ejpam-6481	235	23	)	)	PUNCT
ejpam-6481	235	24	,	,	PUNCT
ejpam-6481	235	25	i(t	i(t	PROPN
ejpam-6481	235	26	)	)	PUNCT
ejpam-6481	235	27	,	,	PUNCT
ejpam-6481	235	28	v	v	X
ejpam-6481	235	29	(	(	PUNCT
ejpam-6481	235	30	t	t	NOUN
ejpam-6481	235	31	)	)	PUNCT
ejpam-6481	235	32	are	be	AUX
ejpam-6481	235	33	positive	positive	ADJ
ejpam-6481	235	34	for	for	ADP
ejpam-6481	235	35	t	t	PROPN
ejpam-6481	235	36	>	>	X
ejpam-6481	235	37	0	0	PROPN
ejpam-6481	235	38	.	.	PUNCT
ejpam-6481	236	1	the	the	DET
ejpam-6481	236	2	disease	disease	NOUN
ejpam-6481	236	3	free	free	PROPN
ejpam-6481	236	4	e0	e0	PROPN
ejpam-6481	236	5	and	and	CCONJ
ejpam-6481	236	6	endemic	endemic	ADJ
ejpam-6481	236	7	e∗	e∗	PROPN
ejpam-6481	236	8	equilibrium	equilibrium	NOUN
ejpam-6481	236	9	points	point	NOUN
ejpam-6481	236	10	are	be	AUX
ejpam-6481	236	11	computed	compute	VERB
ejpam-6481	236	12	as	as	SCONJ
ejpam-6481	236	13	follows	follow	VERB
ejpam-6481	236	14	:	:	PUNCT
ejpam-6481	236	15	e0	e0	PROPN
ejpam-6481	236	16	=	=	SYM
ejpam-6481	236	17	(	(	PUNCT
ejpam-6481	236	18	h0	h0	PROPN
ejpam-6481	236	19	,	,	PUNCT
ejpam-6481	236	20	i0	i0	PROPN
ejpam-6481	236	21	,	,	PUNCT
ejpam-6481	236	22	v0	v0	PROPN
ejpam-6481	236	23	)	)	PUNCT
ejpam-6481	236	24	=	=	PUNCT
ejpam-6481	237	1	(	(	PUNCT
ejpam-6481	237	2	λ	λ	X
ejpam-6481	237	3	δ	δ	PROPN
ejpam-6481	237	4	,	,	PUNCT
ejpam-6481	237	5	0	0	NUM
ejpam-6481	237	6	,	,	PUNCT
ejpam-6481	237	7	0	0	NUM
ejpam-6481	237	8	)	)	PUNCT
ejpam-6481	237	9	,	,	PUNCT
ejpam-6481	237	10	and	and	CCONJ
ejpam-6481	237	11	e∗	e∗	PROPN
ejpam-6481	237	12	=	=	SYM
ejpam-6481	237	13	(	(	PUNCT
ejpam-6481	237	14	h∗	h∗	PROPN
ejpam-6481	237	15	,	,	PUNCT
ejpam-6481	237	16	i∗	i∗	PROPN
ejpam-6481	237	17	,	,	PUNCT
ejpam-6481	237	18	v	v	NOUN
ejpam-6481	237	19	∗	∗	NOUN
ejpam-6481	237	20	)	)	PUNCT
ejpam-6481	237	21	,	,	PUNCT
ejpam-6481	237	22	where	where	SCONJ
ejpam-6481	237	23	h∗	h∗	NOUN
ejpam-6481	237	24	=	=	INTJ
ejpam-6481	237	25	γµ	γµ	ADP
ejpam-6481	237	26	ηλ	ηλ	INTJ
ejpam-6481	237	27	,	,	PUNCT
ejpam-6481	237	28	i∗	i∗	NOUN
ejpam-6481	237	29	=	=	PUNCT
ejpam-6481	237	30	µ(ληλ−	µ(ληλ−	PRON
ejpam-6481	237	31	δγµ	δγµ	PROPN
ejpam-6481	237	32	)	)	PUNCT
ejpam-6481	237	33	λ3η	λ3η	X
ejpam-6481	237	34	,	,	PUNCT
ejpam-6481	237	35	v	v	NOUN
ejpam-6481	237	36	∗	∗	NOUN
ejpam-6481	237	37	=	=	SYM
ejpam-6481	237	38	ληλ−	ληλ−	PROPN
ejpam-6481	237	39	δγµ	δγµ	NOUN
ejpam-6481	237	40	λ2η	λ2η	PROPN
ejpam-6481	237	41	.	.	PUNCT
ejpam-6481	237	42	further	far	ADV
ejpam-6481	237	43	,	,	PUNCT
ejpam-6481	237	44	the	the	DET
ejpam-6481	237	45	reproductive	reproductive	ADJ
ejpam-6481	237	46	number	number	NOUN
ejpam-6481	237	47	is	be	AUX
ejpam-6481	237	48	computed	compute	VERB
ejpam-6481	237	49	as	as	ADP
ejpam-6481	237	50	r0	r0	NOUN
ejpam-6481	237	51	=	=	NOUN
ejpam-6481	237	52	ηλλ	ηλλ	PROPN
ejpam-6481	237	53	δγµ	δγµ	PROPN
ejpam-6481	237	54	.	.	PUNCT
ejpam-6481	238	1	theorem	theorem	VERB
ejpam-6481	238	2	6	6	NUM
ejpam-6481	238	3	.	.	PUNCT
ejpam-6481	239	1	the	the	DET
ejpam-6481	239	2	point	point	NOUN
ejpam-6481	239	3	e0	e0	PROPN
ejpam-6481	239	4	is	be	AUX
ejpam-6481	239	5	asymptotically	asymptotically	ADV
ejpam-6481	239	6	stable	stable	ADJ
ejpam-6481	239	7	if	if	SCONJ
ejpam-6481	239	8	r0	r0	NOUN
ejpam-6481	239	9	<	<	X
ejpam-6481	239	10	1	1	NUM
ejpam-6481	239	11	.	.	PUNCT
ejpam-6481	239	12	proof	proof	NOUN
ejpam-6481	239	13	.	.	PUNCT
ejpam-6481	240	1	from	from	ADP
ejpam-6481	240	2	the	the	DET
ejpam-6481	240	3	jacobian	jacobian	ADJ
ejpam-6481	240	4	matrix	matrix	NOUN
ejpam-6481	240	5	j	j	PROPN
ejpam-6481	240	6	at	at	ADP
ejpam-6481	240	7	e0	e0	PROPN
ejpam-6481	240	8	,	,	PUNCT
ejpam-6481	240	9	we	we	PRON
ejpam-6481	240	10	have	have	VERB
ejpam-6481	240	11	det(j	det(j	PROPN
ejpam-6481	240	12	−	−	PROPN
ejpam-6481	240	13	ρi	ρi	PROPN
ejpam-6481	240	14	)	)	PUNCT
ejpam-6481	240	15	=	=	SYM
ejpam-6481	240	16	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-6481	240	17	ρ+	ρ+	NUM
ejpam-6481	240	18	δ	δ	PROPN
ejpam-6481	240	19	0	0	NUM
ejpam-6481	240	20	ηλ	ηλ	PROPN
ejpam-6481	240	21	δ	δ	PROPN
ejpam-6481	240	22	0	0	NUM
ejpam-6481	240	23	ρ+	ρ+	NUM
ejpam-6481	241	1	γ	γ	X
ejpam-6481	241	2	−ηλ	−ηλ	PROPN
ejpam-6481	241	3	δ	δ	NOUN
ejpam-6481	241	4	0	0	NUM
ejpam-6481	241	5	λ	λ	PROPN
ejpam-6481	241	6	ρ+	ρ+	X
ejpam-6481	241	7	µ	µ	X
ejpam-6481	241	8	∣∣∣∣∣∣	∣∣∣∣∣∣	X
ejpam-6481	241	9	=	=	SYM
ejpam-6481	241	10	0	0	NUM
ejpam-6481	241	11	which	which	PRON
ejpam-6481	241	12	yields	yield	VERB
ejpam-6481	241	13	that	that	DET
ejpam-6481	241	14	ρ	ρ	NOUN
ejpam-6481	241	15	=	=	PUNCT
ejpam-6481	241	16	−δ	−δ	ADJ
ejpam-6481	241	17	<	<	X
ejpam-6481	241	18	0	0	NUM
ejpam-6481	241	19	,	,	PUNCT
ejpam-6481	241	20	and	and	CCONJ
ejpam-6481	241	21	ρ2	ρ2	VERB
ejpam-6481	241	22	+	+	CCONJ
ejpam-6481	241	23	a1ρ	a1ρ	ADJ
ejpam-6481	241	24	+	+	NUM
ejpam-6481	241	25	a2	a2	NOUN
ejpam-6481	241	26	=	=	SYM
ejpam-6481	241	27	0	0	PROPN
ejpam-6481	241	28	,	,	PUNCT
ejpam-6481	241	29	where	where	SCONJ
ejpam-6481	241	30	a1	a1	NOUN
ejpam-6481	241	31	=	=	SYM
ejpam-6481	241	32	γ	γ	X
ejpam-6481	241	33	+	+	X
ejpam-6481	241	34	µ	µ	X
ejpam-6481	241	35	,	,	PUNCT
ejpam-6481	241	36	a2	a2	PROPN
ejpam-6481	241	37	=	=	SYM
ejpam-6481	241	38	γδµ−λλη	γδµ−λλη	PROPN
ejpam-6481	241	39	η	η	PROPN
ejpam-6481	241	40	,	,	PUNCT
ejpam-6481	241	41	clearly	clearly	ADV
ejpam-6481	241	42	a1	a1	VERB
ejpam-6481	241	43	>	>	X
ejpam-6481	241	44	0	0	PUNCT
ejpam-6481	241	45	and	and	CCONJ
ejpam-6481	241	46	a2	a2	PROPN
ejpam-6481	241	47	>	>	X
ejpam-6481	241	48	0	0	PUNCT
ejpam-6481	242	1	if	if	SCONJ
ejpam-6481	242	2	and	and	CCONJ
ejpam-6481	242	3	only	only	ADV
ejpam-6481	242	4	if	if	SCONJ
ejpam-6481	242	5	r0	r0	NOUN
ejpam-6481	242	6	<	<	X
ejpam-6481	242	7	1	1	NUM
ejpam-6481	242	8	.	.	PUNCT
ejpam-6481	242	9	theorem	theorem	VERB
ejpam-6481	242	10	7	7	NUM
ejpam-6481	242	11	.	.	PUNCT
ejpam-6481	243	1	the	the	DET
ejpam-6481	243	2	point	point	NOUN
ejpam-6481	243	3	e∗	e∗	PROPN
ejpam-6481	243	4	is	be	AUX
ejpam-6481	243	5	locally	locally	ADV
ejpam-6481	243	6	asymptotically	asymptotically	ADV
ejpam-6481	243	7	stable	stable	ADJ
ejpam-6481	243	8	if	if	SCONJ
ejpam-6481	243	9	r0	r0	NOUN
ejpam-6481	243	10	≥	≥	NOUN
ejpam-6481	243	11	1	1	NUM
ejpam-6481	243	12	.	.	PUNCT
ejpam-6481	244	1	proof	proof	NOUN
ejpam-6481	244	2	.	.	PUNCT
ejpam-6481	245	1	the	the	DET
ejpam-6481	245	2	endemic	endemic	ADJ
ejpam-6481	245	3	equilibrium	equilibrium	NOUN
ejpam-6481	245	4	point	point	NOUN
ejpam-6481	245	5	is	be	AUX
ejpam-6481	245	6	given	give	VERB
ejpam-6481	245	7	by	by	ADP
ejpam-6481	245	8	e∗	e∗	PROPN
ejpam-6481	245	9	=	=	SYM
ejpam-6481	245	10	(	(	PUNCT
ejpam-6481	245	11	1.0714285714	1.0714285714	NUM
ejpam-6481	245	12	,	,	PUNCT
ejpam-6481	245	13	0.0849560567	0.0849560567	NUM
ejpam-6481	245	14	,	,	PUNCT
ejpam-6481	245	15	0.0004757539	0.0004757539	NUM
ejpam-6481	245	16	)	)	PUNCT
ejpam-6481	245	17	.	.	PUNCT
ejpam-6481	246	1	the	the	DET
ejpam-6481	246	2	characteristic	characteristic	ADJ
ejpam-6481	246	3	equations	equation	NOUN
ejpam-6481	246	4	becomes	become	VERB
ejpam-6481	246	5	det(j(e∗	det(j(e∗	NOUN
ejpam-6481	246	6	)	)	PUNCT
ejpam-6481	246	7	−	−	PROPN
ejpam-6481	246	8	ρi	ρi	NOUN
ejpam-6481	246	9	)	)	PUNCT
ejpam-6481	246	10	=	=	NOUN
ejpam-6481	246	11	0	0	X
ejpam-6481	246	12	.	.	PUNCT
ejpam-6481	247	1	upon	upon	SCONJ
ejpam-6481	247	2	computation	computation	NOUN
ejpam-6481	247	3	,	,	PUNCT
ejpam-6481	247	4	we	we	PRON
ejpam-6481	247	5	get	get	VERB
ejpam-6481	247	6	eigens	eigen	VERB
ejpam-6481	247	7	values	value	NOUN
ejpam-6481	247	8	as	as	ADP
ejpam-6481	247	9	ρ1	ρ1	NOUN
ejpam-6481	247	10	=	=	SYM
ejpam-6481	248	1	−0.0345678−0.0543217ι	−0.0345678−0.0543217ι	NOUN
ejpam-6481	248	2	,	,	PUNCT
ejpam-6481	248	3	ρ2	ρ2	NOUN
ejpam-6481	248	4	=	=	SYM
ejpam-6481	248	5	−0.0453276	−0.0453276	PROPN
ejpam-6481	248	6	+	+	NOUN
ejpam-6481	248	7	0.079805412ι	0.079805412ι	NOUN
ejpam-6481	248	8	,	,	PUNCT
ejpam-6481	248	9	ρ3	ρ3	NOUN
ejpam-6481	248	10	=	=	SYM
ejpam-6481	248	11	−0.005123984	−0.005123984	NUM
ejpam-6481	248	12	+	+	NOUN
ejpam-6481	248	13	0ι	0ι	NOUN
ejpam-6481	248	14	.	.	PUNCT
ejpam-6481	249	1	we	we	PRON
ejpam-6481	249	2	see	see	VERB
ejpam-6481	249	3	that	that	SCONJ
ejpam-6481	249	4	all	all	DET
ejpam-6481	249	5	eigen	eigen	PROPN
ejpam-6481	249	6	’s	’s	PART
ejpam-6481	249	7	values	value	NOUN
ejpam-6481	249	8	have	have	VERB
ejpam-6481	249	9	negative	negative	ADJ
ejpam-6481	249	10	real	real	ADJ
ejpam-6481	249	11	parts	part	NOUN
ejpam-6481	249	12	.	.	PUNCT
ejpam-6481	250	1	thus	thus	ADV
ejpam-6481	250	2	the	the	DET
ejpam-6481	250	3	said	say	VERB
ejpam-6481	250	4	equilibrium	equilibrium	NOUN
ejpam-6481	250	5	point	point	NOUN
ejpam-6481	250	6	is	be	AUX
ejpam-6481	250	7	locally	locally	ADV
ejpam-6481	250	8	asymptotically	asymptotically	ADV
ejpam-6481	250	9	stable	stable	ADJ
ejpam-6481	250	10	.	.	PUNCT
ejpam-6481	251	1	5	5	X
ejpam-6481	251	2	.	.	X
ejpam-6481	251	3	numerical	numerical	ADJ
ejpam-6481	251	4	analysis	analysis	NOUN
ejpam-6481	251	5	we	we	PRON
ejpam-6481	251	6	reset	reset	VERB
ejpam-6481	251	7	the	the	DET
ejpam-6481	251	8	system	system	NOUN
ejpam-6481	251	9	(	(	PUNCT
ejpam-6481	251	10	9	9	NUM
ejpam-6481	251	11	)	)	PUNCT
ejpam-6481	251	12	at	at	ADP
ejpam-6481	251	13	s	s	NOUN
ejpam-6481	251	14	+	+	NUM
ejpam-6481	251	15	ξ	ξ	X
ejpam-6481	251	16	=	=	SYM
ejpam-6481	251	17	k	k	NOUN
ejpam-6481	251	18	to	to	PART
ejpam-6481	251	19	get	get	VERB
ejpam-6481	251	20	the	the	DET
ejpam-6481	251	21	following	follow	VERB
ejpam-6481	251	22	system	system	PROPN
ejpam-6481	251	23	h(n	h(n	PROPN
ejpam-6481	251	24	)	)	PUNCT
ejpam-6481	252	1	=	=	SYM
ejpam-6481	252	2	h(0	h(0	PROPN
ejpam-6481	252	3	)	)	PUNCT
ejpam-6481	252	4	+	+	CCONJ
ejpam-6481	252	5	1	1	NUM
ejpam-6481	252	6	γ(ξ	γ(ξ	NOUN
ejpam-6481	252	7	)	)	PUNCT
ejpam-6481	252	8	n∑	n∑	NOUN
ejpam-6481	253	1	k=1	k=1	PUNCT
ejpam-6481	254	1	γ(n−	γ(n−	PROPN
ejpam-6481	254	2	k	k	PROPN
ejpam-6481	254	3	+	+	PROPN
ejpam-6481	254	4	ξ	ξ	X
ejpam-6481	254	5	)	)	PUNCT
ejpam-6481	254	6	γ(n−	γ(n−	PROPN
ejpam-6481	254	7	k	k	PROPN
ejpam-6481	255	1	+	+	PROPN
ejpam-6481	255	2	1	1	X
ejpam-6481	255	3	)	)	PUNCT
ejpam-6481	255	4	(	(	PUNCT
ejpam-6481	255	5	λ−	λ−	PROPN
ejpam-6481	255	6	ηh(k	ηh(k	PUNCT
ejpam-6481	255	7	−	−	PROPN
ejpam-6481	256	1	1)i(k	1)i(k	NUM
ejpam-6481	256	2	−	−	PROPN
ejpam-6481	256	3	1)−	1)−	PROPN
ejpam-6481	256	4	δh(k	δh(k	PUNCT
ejpam-6481	256	5	−	−	PROPN
ejpam-6481	256	6	1	1	NUM
ejpam-6481	256	7	)	)	PUNCT
ejpam-6481	256	8	)	)	PUNCT
ejpam-6481	256	9	,	,	PUNCT
ejpam-6481	256	10	i(n	i(n	NUM
ejpam-6481	256	11	)	)	PUNCT
ejpam-6481	256	12	=	=	SYM
ejpam-6481	257	1	i(0	i(0	PROPN
ejpam-6481	257	2	)	)	PUNCT
ejpam-6481	258	1	+	+	CCONJ
ejpam-6481	258	2	1	1	NUM
ejpam-6481	258	3	γ(ξ	γ(ξ	NOUN
ejpam-6481	258	4	)	)	PUNCT
ejpam-6481	259	1	n∑	n∑	NOUN
ejpam-6481	259	2	k=1	k=1	PUNCT
ejpam-6481	260	1	γ(n−	γ(n−	PROPN
ejpam-6481	260	2	k	k	PROPN
ejpam-6481	260	3	+	+	PROPN
ejpam-6481	260	4	ξ	ξ	X
ejpam-6481	260	5	)	)	PUNCT
ejpam-6481	260	6	γ(n−	γ(n−	PROPN
ejpam-6481	260	7	k	k	PROPN
ejpam-6481	261	1	+	+	PROPN
ejpam-6481	261	2	1	1	X
ejpam-6481	261	3	)	)	PUNCT
ejpam-6481	261	4	(	(	PUNCT
ejpam-6481	261	5	ηh(k	ηh(k	X
ejpam-6481	261	6	−	−	PROPN
ejpam-6481	262	1	1)i(k	1)i(k	NUM
ejpam-6481	263	1	−	−	PROPN
ejpam-6481	263	2	1)−	1)−	PROPN
ejpam-6481	263	3	γi(k	γi(k	PUNCT
ejpam-6481	264	1	−	−	PROPN
ejpam-6481	264	2	1	1	NUM
ejpam-6481	264	3	)	)	PUNCT
ejpam-6481	264	4	)	)	PUNCT
ejpam-6481	264	5	,	,	PUNCT
ejpam-6481	264	6	v	v	NOUN
ejpam-6481	264	7	(	(	PUNCT
ejpam-6481	264	8	n	n	CCONJ
ejpam-6481	264	9	)	)	PUNCT
ejpam-6481	264	10	=	=	NOUN
ejpam-6481	264	11	v	v	X
ejpam-6481	264	12	(	(	PUNCT
ejpam-6481	264	13	0	0	NUM
ejpam-6481	264	14	)	)	PUNCT
ejpam-6481	264	15	+	+	CCONJ
ejpam-6481	264	16	1	1	NUM
ejpam-6481	264	17	γ(ξ	γ(ξ	NOUN
ejpam-6481	264	18	)	)	PUNCT
ejpam-6481	264	19	n∑	n∑	NOUN
ejpam-6481	264	20	k=1	k=1	PUNCT
ejpam-6481	265	1	γ(n−	γ(n−	PROPN
ejpam-6481	265	2	k	k	PROPN
ejpam-6481	265	3	+	+	CCONJ
ejpam-6481	265	4	ϕ	ϕ	NOUN
ejpam-6481	265	5	)	)	PUNCT
ejpam-6481	265	6	γ(n−	γ(n−	PROPN
ejpam-6481	265	7	k	k	PROPN
ejpam-6481	265	8	+	+	PROPN
ejpam-6481	265	9	1	1	X
ejpam-6481	265	10	)	)	PUNCT
ejpam-6481	265	11	(	(	PUNCT
ejpam-6481	265	12	λi(k	λi(k	NUM
ejpam-6481	265	13	−	−	PROPN
ejpam-6481	265	14	1)−	1)−	NUM
ejpam-6481	265	15	µv	µv	PROPN
ejpam-6481	265	16	(	(	PUNCT
ejpam-6481	265	17	k	k	NOUN
ejpam-6481	265	18	−	−	PROPN
ejpam-6481	265	19	1	1	NUM
ejpam-6481	265	20	)	)	PUNCT
ejpam-6481	265	21	)	)	PUNCT
ejpam-6481	265	22	.	.	PUNCT
ejpam-6481	266	1	(	(	PUNCT
ejpam-6481	266	2	20	20	X
ejpam-6481	266	3	)	)	PUNCT
ejpam-6481	266	4	s.	s.	PROPN
ejpam-6481	266	5	a.shah	a.shah	PROPN
ejpam-6481	266	6	et	et	PROPN
ejpam-6481	266	7	al	al	PROPN
ejpam-6481	266	8	.	.	PUNCT
ejpam-6481	266	9	/	/	SYM
ejpam-6481	266	10	eur	eur	PROPN
ejpam-6481	266	11	.	.	PUNCT
ejpam-6481	267	1	j.	j.	PROPN
ejpam-6481	267	2	pure	pure	PROPN
ejpam-6481	267	3	appl	appl	PROPN
ejpam-6481	267	4	.	.	PROPN
ejpam-6481	267	5	math	math	PROPN
ejpam-6481	267	6	,	,	PUNCT
ejpam-6481	267	7	18	18	NUM
ejpam-6481	267	8	(	(	PUNCT
ejpam-6481	267	9	3	3	NUM
ejpam-6481	267	10	)	)	PUNCT
ejpam-6481	267	11	(	(	PUNCT
ejpam-6481	267	12	2025	2025	NUM
ejpam-6481	267	13	)	)	PUNCT
ejpam-6481	267	14	,	,	PUNCT
ejpam-6481	267	15	6481	6481	NUM
ejpam-6481	267	16	11	11	NUM
ejpam-6481	267	17	of	of	ADP
ejpam-6481	267	18	19	19	NUM
ejpam-6481	267	19	we	we	PRON
ejpam-6481	267	20	take	take	VERB
ejpam-6481	267	21	the	the	DET
ejpam-6481	267	22	initial	initial	ADJ
ejpam-6481	267	23	values	value	NOUN
ejpam-6481	267	24	in	in	ADP
ejpam-6481	267	25	millions	million	NOUN
ejpam-6481	267	26	as	as	ADP
ejpam-6481	267	27	h(0	h(0	NOUN
ejpam-6481	267	28	)	)	PUNCT
ejpam-6481	267	29	=	=	SYM
ejpam-6481	267	30	10	10	NUM
ejpam-6481	267	31	,	,	PUNCT
ejpam-6481	267	32	i(0	i(0	PROPN
ejpam-6481	267	33	)	)	PUNCT
ejpam-6481	267	34	=	=	SYM
ejpam-6481	268	1	2	2	NUM
ejpam-6481	268	2	,	,	PUNCT
ejpam-6481	268	3	v	v	NOUN
ejpam-6481	268	4	(	(	PUNCT
ejpam-6481	268	5	0	0	NUM
ejpam-6481	268	6	)	)	PUNCT
ejpam-6481	268	7	=	=	SYM
ejpam-6481	268	8	5	5	NUM
ejpam-6481	268	9	,	,	PUNCT
ejpam-6481	268	10	and	and	CCONJ
ejpam-6481	268	11	λ	λ	X
ejpam-6481	268	12	=	=	SYM
ejpam-6481	268	13	0.0003,λ	0.0003,λ	NOUN
ejpam-6481	268	14	=	=	SYM
ejpam-6481	268	15	0.02	0.02	NUM
ejpam-6481	268	16	,	,	PUNCT
ejpam-6481	268	17	δ	δ	X
ejpam-6481	268	18	=	=	SYM
ejpam-6481	268	19	0.0001	0.0001	NUM
ejpam-6481	268	20	,	,	PUNCT
ejpam-6481	268	21	η	η	NOUN
ejpam-6481	268	22	=	=	PROPN
ejpam-6481	268	23	0.0025	0.0025	NUM
ejpam-6481	268	24	,	,	PUNCT
ejpam-6481	268	25	γ	γ	X
ejpam-6481	268	26	=	=	NOUN
ejpam-6481	268	27	0.05	0.05	NUM
ejpam-6481	268	28	,	,	PUNCT
ejpam-6481	268	29	µ	µ	X
ejpam-6481	268	30	=	=	SYM
ejpam-6481	268	31	0.0056	0.0056	NUM
ejpam-6481	268	32	.	.	PUNCT
ejpam-6481	269	1	we	we	PRON
ejpam-6481	269	2	present	present	VERB
ejpam-6481	269	3	the	the	DET
ejpam-6481	269	4	numerical	numerical	ADJ
ejpam-6481	269	5	interpretation	interpretation	NOUN
ejpam-6481	269	6	for	for	ADP
ejpam-6481	269	7	the	the	DET
ejpam-6481	269	8	three	three	NUM
ejpam-6481	269	9	classes	class	NOUN
ejpam-6481	269	10	in	in	ADP
ejpam-6481	269	11	figures	figure	NOUN
ejpam-6481	269	12	3	3	NUM
ejpam-6481	269	13	and	and	CCONJ
ejpam-6481	269	14	figure	figure	VERB
ejpam-6481	269	15	4	4	NUM
ejpam-6481	269	16	for	for	ADP
ejpam-6481	269	17	different	different	ADJ
ejpam-6481	269	18	fractional	fractional	ADJ
ejpam-6481	269	19	order	order	NOUN
ejpam-6481	269	20	values	value	NOUN
ejpam-6481	269	21	.	.	PUNCT
ejpam-6481	270	1	0	0	NUM
ejpam-6481	271	1	50	50	NUM
ejpam-6481	271	2	100	100	NUM
ejpam-6481	271	3	150	150	NUM
ejpam-6481	271	4	200	200	NUM
ejpam-6481	271	5	250	250	NUM
ejpam-6481	271	6	300	300	NUM
ejpam-6481	271	7	350	350	NUM
ejpam-6481	271	8	400	400	NUM
ejpam-6481	271	9	450	450	NUM
ejpam-6481	271	10	time	time	NOUN
ejpam-6481	271	11	t	t	PROPN
ejpam-6481	271	12	(	(	PUNCT
ejpam-6481	271	13	days	day	NOUN
ejpam-6481	271	14	)	)	PUNCT
ejpam-6481	271	15	1	1	NUM
ejpam-6481	271	16	2	2	NUM
ejpam-6481	271	17	3	3	NUM
ejpam-6481	271	18	4	4	NUM
ejpam-6481	271	19	5	5	NUM
ejpam-6481	271	20	6	6	NUM
ejpam-6481	271	21	7	7	NUM
ejpam-6481	271	22	8	8	NUM
ejpam-6481	271	23	9	9	NUM
ejpam-6481	271	24	h	h	NOUN
ejpam-6481	271	25	ea	ea	NOUN
ejpam-6481	272	1	lt	lt	PRON
ejpam-6481	272	2	h	h	PROPN
ejpam-6481	272	3	y	y	PROPN
ejpam-6481	272	4	ce	ce	PROPN
ejpam-6481	272	5	lls	lls	PROPN
ejpam-6481	272	6	(	(	PUNCT
ejpam-6481	272	7	a	a	X
ejpam-6481	272	8	)	)	PUNCT
ejpam-6481	272	9	0.75	0.75	NUM
ejpam-6481	272	10	0.85	0.85	NUM
ejpam-6481	272	11	0.95	0.95	NUM
ejpam-6481	272	12	1.0	1.0	NUM
ejpam-6481	272	13	0	0	NUM
ejpam-6481	272	14	50	50	NUM
ejpam-6481	272	15	100	100	NUM
ejpam-6481	272	16	150	150	NUM
ejpam-6481	272	17	200	200	NUM
ejpam-6481	272	18	250	250	NUM
ejpam-6481	272	19	300	300	NUM
ejpam-6481	272	20	350	350	NUM
ejpam-6481	272	21	400	400	NUM
ejpam-6481	272	22	450	450	NUM
ejpam-6481	272	23	500	500	NUM
ejpam-6481	272	24	time	time	NOUN
ejpam-6481	272	25	t	t	PROPN
ejpam-6481	272	26	(	(	PUNCT
ejpam-6481	272	27	days	day	NOUN
ejpam-6481	272	28	)	)	PUNCT
ejpam-6481	272	29	0	0	NUM
ejpam-6481	272	30	0.5	0.5	NUM
ejpam-6481	272	31	1	1	NUM
ejpam-6481	272	32	1.5	1.5	NUM
ejpam-6481	272	33	2	2	NUM
ejpam-6481	272	34	2.5	2.5	NUM
ejpam-6481	272	35	in	in	ADP
ejpam-6481	272	36	fe	fe	X
ejpam-6481	272	37	ct	ct	PROPN
ejpam-6481	272	38	ed	ed	PROPN
ejpam-6481	272	39	c	c	PROPN
ejpam-6481	272	40	el	el	PROPN
ejpam-6481	272	41	ls	ls	PROPN
ejpam-6481	272	42	(	(	PUNCT
ejpam-6481	272	43	b	b	NOUN
ejpam-6481	272	44	)	)	PUNCT
ejpam-6481	272	45	0.75	0.75	NUM
ejpam-6481	272	46	0.85	0.85	NUM
ejpam-6481	272	47	0.95	0.95	NUM
ejpam-6481	272	48	1.0	1.0	NUM
ejpam-6481	272	49	0	0	NUM
ejpam-6481	272	50	50	50	NUM
ejpam-6481	272	51	100	100	NUM
ejpam-6481	272	52	150	150	NUM
ejpam-6481	272	53	200	200	NUM
ejpam-6481	272	54	250	250	NUM
ejpam-6481	272	55	300	300	NUM
ejpam-6481	272	56	350	350	NUM
ejpam-6481	272	57	400	400	NUM
ejpam-6481	272	58	450	450	NUM
ejpam-6481	272	59	500	500	NUM
ejpam-6481	272	60	time	time	NOUN
ejpam-6481	272	61	t	t	PROPN
ejpam-6481	272	62	(	(	PUNCT
ejpam-6481	272	63	days	day	NOUN
ejpam-6481	272	64	)	)	PUNCT
ejpam-6481	272	65	5	5	NUM
ejpam-6481	272	66	5.2	5.2	NUM
ejpam-6481	272	67	5.4	5.4	NUM
ejpam-6481	272	68	5.6	5.6	NUM
ejpam-6481	272	69	5.8	5.8	NUM
ejpam-6481	272	70	6	6	NUM
ejpam-6481	272	71	6.2	6.2	NUM
ejpam-6481	272	72	6.4	6.4	NUM
ejpam-6481	272	73	v	v	NUM
ejpam-6481	272	74	ir	ir	PROPN
ejpam-6481	272	75	u	u	NOUN
ejpam-6481	272	76	s	s	NOUN
ejpam-6481	272	77	fr	fr	INTJ
ejpam-6481	273	1	ee	ee	PROPN
ejpam-6481	273	2	c	c	PROPN
ejpam-6481	273	3	el	el	PROPN
ejpam-6481	273	4	ls	ls	PROPN
ejpam-6481	274	1	(	(	PUNCT
ejpam-6481	274	2	c	c	NOUN
ejpam-6481	274	3	)	)	PUNCT
ejpam-6481	274	4	0.75	0.75	NUM
ejpam-6481	274	5	0.85	0.85	NUM
ejpam-6481	274	6	0.95	0.95	NUM
ejpam-6481	274	7	1.0	1.0	NUM
ejpam-6481	274	8	figure	figure	NOUN
ejpam-6481	274	9	3	3	NUM
ejpam-6481	274	10	:	:	PUNCT
ejpam-6481	274	11	graphical	graphical	ADJ
ejpam-6481	274	12	presentations	presentation	NOUN
ejpam-6481	274	13	of	of	ADP
ejpam-6481	274	14	approximate	approximate	ADJ
ejpam-6481	274	15	solutions	solution	NOUN
ejpam-6481	274	16	using	use	VERB
ejpam-6481	274	17	different	different	ADJ
ejpam-6481	274	18	fractional	fractional	ADJ
ejpam-6481	274	19	orders	order	NOUN
ejpam-6481	274	20	in	in	ADP
ejpam-6481	274	21	[	[	NOUN
ejpam-6481	274	22	0.75	0.75	NUM
ejpam-6481	274	23	,	,	PUNCT
ejpam-6481	274	24	1.0	1.0	NUM
ejpam-6481	274	25	]	]	PUNCT
ejpam-6481	274	26	for	for	ADP
ejpam-6481	274	27	model	model	NOUN
ejpam-6481	274	28	(	(	PUNCT
ejpam-6481	274	29	2	2	NUM
ejpam-6481	274	30	)	)	PUNCT
ejpam-6481	274	31	.	.	PUNCT
ejpam-6481	275	1	s.	s.	PROPN
ejpam-6481	275	2	a.shah	a.shah	PROPN
ejpam-6481	275	3	et	et	PROPN
ejpam-6481	275	4	al	al	PROPN
ejpam-6481	275	5	.	.	PUNCT
ejpam-6481	275	6	/	/	SYM
ejpam-6481	275	7	eur	eur	PROPN
ejpam-6481	275	8	.	.	PUNCT
ejpam-6481	276	1	j.	j.	PROPN
ejpam-6481	276	2	pure	pure	PROPN
ejpam-6481	276	3	appl	appl	PROPN
ejpam-6481	276	4	.	.	PROPN
ejpam-6481	276	5	math	math	PROPN
ejpam-6481	276	6	,	,	PUNCT
ejpam-6481	276	7	18	18	NUM
ejpam-6481	276	8	(	(	PUNCT
ejpam-6481	276	9	3	3	NUM
ejpam-6481	276	10	)	)	PUNCT
ejpam-6481	276	11	(	(	PUNCT
ejpam-6481	276	12	2025	2025	NUM
ejpam-6481	276	13	)	)	PUNCT
ejpam-6481	276	14	,	,	PUNCT
ejpam-6481	276	15	6481	6481	NUM
ejpam-6481	276	16	12	12	NUM
ejpam-6481	276	17	of	of	ADP
ejpam-6481	276	18	19	19	NUM
ejpam-6481	276	19	0	0	NUM
ejpam-6481	276	20	50	50	NUM
ejpam-6481	276	21	100	100	NUM
ejpam-6481	276	22	150	150	NUM
ejpam-6481	276	23	200	200	NUM
ejpam-6481	276	24	250	250	NUM
ejpam-6481	276	25	300	300	NUM
ejpam-6481	276	26	350	350	NUM
ejpam-6481	276	27	400	400	NUM
ejpam-6481	276	28	450	450	NUM
ejpam-6481	276	29	500	500	NUM
ejpam-6481	276	30	time	time	NOUN
ejpam-6481	276	31	t	t	PROPN
ejpam-6481	276	32	(	(	PUNCT
ejpam-6481	276	33	days	day	NOUN
ejpam-6481	276	34	)	)	PUNCT
ejpam-6481	276	35	1	1	NUM
ejpam-6481	276	36	2	2	NUM
ejpam-6481	276	37	3	3	NUM
ejpam-6481	276	38	4	4	NUM
ejpam-6481	276	39	5	5	NUM
ejpam-6481	276	40	6	6	NUM
ejpam-6481	276	41	7	7	NUM
ejpam-6481	276	42	8	8	NUM
ejpam-6481	276	43	9	9	NUM
ejpam-6481	276	44	10	10	NUM
ejpam-6481	276	45	h	h	NOUN
ejpam-6481	276	46	ea	ea	ADP
ejpam-6481	276	47	lt	lt	PRON
ejpam-6481	276	48	h	h	PROPN
ejpam-6481	276	49	y	y	PROPN
ejpam-6481	276	50	ce	ce	PROPN
ejpam-6481	276	51	lls	lls	PROPN
ejpam-6481	276	52	(	(	PUNCT
ejpam-6481	276	53	a	a	X
ejpam-6481	276	54	)	)	PUNCT
ejpam-6481	276	55	0.35	0.35	NUM
ejpam-6481	276	56	0.45	0.45	NUM
ejpam-6481	276	57	0.55	0.55	NUM
ejpam-6481	276	58	0.65	0.65	NUM
ejpam-6481	276	59	0	0	NUM
ejpam-6481	276	60	50	50	NUM
ejpam-6481	276	61	100	100	NUM
ejpam-6481	276	62	150	150	NUM
ejpam-6481	276	63	200	200	NUM
ejpam-6481	276	64	250	250	NUM
ejpam-6481	276	65	300	300	NUM
ejpam-6481	276	66	350	350	NUM
ejpam-6481	276	67	400	400	NUM
ejpam-6481	276	68	450	450	NUM
ejpam-6481	276	69	500	500	NUM
ejpam-6481	276	70	time	time	NOUN
ejpam-6481	276	71	t	t	PROPN
ejpam-6481	276	72	(	(	PUNCT
ejpam-6481	276	73	days	day	NOUN
ejpam-6481	276	74	)	)	PUNCT
ejpam-6481	276	75	0	0	NUM
ejpam-6481	276	76	0.5	0.5	NUM
ejpam-6481	276	77	1	1	NUM
ejpam-6481	276	78	1.5	1.5	NUM
ejpam-6481	276	79	2	2	NUM
ejpam-6481	276	80	2.5	2.5	NUM
ejpam-6481	276	81	in	in	ADP
ejpam-6481	276	82	fe	fe	X
ejpam-6481	276	83	ct	ct	PROPN
ejpam-6481	276	84	ed	ed	PROPN
ejpam-6481	276	85	c	c	PROPN
ejpam-6481	276	86	el	el	PROPN
ejpam-6481	276	87	ls	ls	PROPN
ejpam-6481	276	88	(	(	PUNCT
ejpam-6481	276	89	b	b	NOUN
ejpam-6481	276	90	)	)	PUNCT
ejpam-6481	276	91	0.35	0.35	NUM
ejpam-6481	276	92	0.45	0.45	NUM
ejpam-6481	276	93	0.55	0.55	NUM
ejpam-6481	276	94	0.65	0.65	NUM
ejpam-6481	276	95	0	0	NUM
ejpam-6481	276	96	50	50	NUM
ejpam-6481	276	97	100	100	NUM
ejpam-6481	276	98	150	150	NUM
ejpam-6481	276	99	200	200	NUM
ejpam-6481	276	100	250	250	NUM
ejpam-6481	276	101	300	300	NUM
ejpam-6481	276	102	350	350	NUM
ejpam-6481	276	103	400	400	NUM
ejpam-6481	276	104	450	450	NUM
ejpam-6481	276	105	500	500	NUM
ejpam-6481	276	106	time	time	NOUN
ejpam-6481	276	107	t	t	PROPN
ejpam-6481	276	108	(	(	PUNCT
ejpam-6481	276	109	days	day	NOUN
ejpam-6481	276	110	)	)	PUNCT
ejpam-6481	276	111	5	5	NUM
ejpam-6481	276	112	5.5	5.5	NUM
ejpam-6481	276	113	6	6	NUM
ejpam-6481	276	114	6.5	6.5	NUM
ejpam-6481	276	115	v	v	NUM
ejpam-6481	276	116	ir	ir	PROPN
ejpam-6481	276	117	u	u	NOUN
ejpam-6481	276	118	s	s	NOUN
ejpam-6481	276	119	fr	fr	INTJ
ejpam-6481	276	120	ee	ee	PROPN
ejpam-6481	276	121	c	c	PROPN
ejpam-6481	276	122	el	el	PROPN
ejpam-6481	276	123	ls	ls	PROPN
ejpam-6481	276	124	(	(	PUNCT
ejpam-6481	276	125	c	c	NOUN
ejpam-6481	276	126	)	)	PUNCT
ejpam-6481	276	127	0.35	0.35	NUM
ejpam-6481	276	128	0.45	0.45	NUM
ejpam-6481	276	129	0.55	0.55	NUM
ejpam-6481	276	130	0.65	0.65	NUM
ejpam-6481	276	131	figure	figure	NOUN
ejpam-6481	276	132	4	4	NUM
ejpam-6481	276	133	:	:	PUNCT
ejpam-6481	276	134	graphical	graphical	ADJ
ejpam-6481	276	135	presentations	presentation	NOUN
ejpam-6481	276	136	of	of	ADP
ejpam-6481	276	137	approximate	approximate	ADJ
ejpam-6481	276	138	solutions	solution	NOUN
ejpam-6481	276	139	using	use	VERB
ejpam-6481	276	140	different	different	ADJ
ejpam-6481	276	141	fractional	fractional	ADJ
ejpam-6481	276	142	orders	order	NOUN
ejpam-6481	276	143	in	in	ADP
ejpam-6481	276	144	[	[	X
ejpam-6481	276	145	0.35	0.35	NUM
ejpam-6481	276	146	,	,	PUNCT
ejpam-6481	276	147	0.65	0.65	NUM
ejpam-6481	276	148	]	]	PUNCT
ejpam-6481	276	149	for	for	ADP
ejpam-6481	276	150	model	model	NOUN
ejpam-6481	276	151	(	(	PUNCT
ejpam-6481	276	152	2	2	NUM
ejpam-6481	276	153	)	)	PUNCT
ejpam-6481	276	154	.	.	PUNCT
ejpam-6481	277	1	in	in	ADP
ejpam-6481	277	2	above	above	ADP
ejpam-6481	277	3	both	both	DET
ejpam-6481	277	4	figures	figure	NOUN
ejpam-6481	277	5	3	3	NUM
ejpam-6481	277	6	,	,	PUNCT
ejpam-6481	277	7	4	4	NUM
ejpam-6481	277	8	,	,	PUNCT
ejpam-6481	277	9	we	we	PRON
ejpam-6481	277	10	see	see	VERB
ejpam-6481	277	11	that	that	SCONJ
ejpam-6481	277	12	density	density	NOUN
ejpam-6481	277	13	of	of	ADP
ejpam-6481	277	14	healthy	healthy	ADJ
ejpam-6481	277	15	cells	cell	NOUN
ejpam-6481	277	16	is	be	AUX
ejpam-6481	277	17	decreasing	decrease	VERB
ejpam-6481	277	18	with	with	ADP
ejpam-6481	277	19	different	different	ADJ
ejpam-6481	277	20	fractional	fractional	ADJ
ejpam-6481	277	21	order	order	NOUN
ejpam-6481	277	22	until	until	SCONJ
ejpam-6481	277	23	achieve	achieve	VERB
ejpam-6481	277	24	stable	stable	ADJ
ejpam-6481	277	25	position	position	NOUN
ejpam-6481	277	26	.	.	PUNCT
ejpam-6481	278	1	in	in	ADP
ejpam-6481	278	2	the	the	DET
ejpam-6481	278	3	same	same	ADJ
ejpam-6481	278	4	way	way	NOUN
ejpam-6481	278	5	,	,	PUNCT
ejpam-6481	278	6	the	the	DET
ejpam-6481	278	7	infected	infect	VERB
ejpam-6481	278	8	cells	cell	NOUN
ejpam-6481	278	9	density	density	NOUN
ejpam-6481	278	10	is	be	AUX
ejpam-6481	278	11	first	first	ADV
ejpam-6481	278	12	rising	rise	VERB
ejpam-6481	278	13	exponentially	exponentially	ADV
ejpam-6481	278	14	and	and	CCONJ
ejpam-6481	278	15	then	then	ADV
ejpam-6481	278	16	it	it	PRON
ejpam-6481	278	17	goes	go	VERB
ejpam-6481	278	18	on	on	ADP
ejpam-6481	278	19	decreasing	decrease	VERB
ejpam-6481	278	20	with	with	ADP
ejpam-6481	278	21	the	the	DET
ejpam-6481	278	22	passage	passage	NOUN
ejpam-6481	278	23	of	of	ADP
ejpam-6481	278	24	time	time	NOUN
ejpam-6481	278	25	under	under	ADP
ejpam-6481	278	26	various	various	ADJ
ejpam-6481	278	27	fractional	fractional	ADJ
ejpam-6481	278	28	order	order	NOUN
ejpam-6481	278	29	.	.	PUNCT
ejpam-6481	279	1	the	the	DET
ejpam-6481	279	2	density	density	NOUN
ejpam-6481	279	3	of	of	ADP
ejpam-6481	279	4	virus	virus	NOUN
ejpam-6481	279	5	free	free	ADJ
ejpam-6481	279	6	cells	cell	NOUN
ejpam-6481	279	7	is	be	AUX
ejpam-6481	279	8	gradually	gradually	ADV
ejpam-6481	279	9	rising	rise	VERB
ejpam-6481	279	10	until	until	SCONJ
ejpam-6481	279	11	reaches	reach	NOUN
ejpam-6481	279	12	to	to	ADP
ejpam-6481	279	13	a	a	DET
ejpam-6481	279	14	stable	stable	ADJ
ejpam-6481	279	15	position	position	NOUN
ejpam-6481	279	16	by	by	ADP
ejpam-6481	279	17	using	use	VERB
ejpam-6481	279	18	different	different	ADJ
ejpam-6481	279	19	fractional	fractional	ADJ
ejpam-6481	279	20	order	order	NOUN
ejpam-6481	279	21	.	.	PUNCT
ejpam-6481	280	1	6	6	NUM
ejpam-6481	280	2	.	.	X
ejpam-6481	280	3	nns	nn	NOUN
ejpam-6481	280	4	analysis	analysis	NOUN
ejpam-6481	280	5	of	of	ADP
ejpam-6481	280	6	model	model	NOUN
ejpam-6481	280	7	(	(	PUNCT
ejpam-6481	280	8	2	2	NUM
ejpam-6481	280	9	)	)	PUNCT
ejpam-6481	280	10	here	here	ADV
ejpam-6481	280	11	,	,	PUNCT
ejpam-6481	280	12	we	we	PRON
ejpam-6481	280	13	demonstrate	demonstrate	VERB
ejpam-6481	280	14	the	the	DET
ejpam-6481	280	15	analysis	analysis	NOUN
ejpam-6481	280	16	based	base	VERB
ejpam-6481	280	17	on	on	ADP
ejpam-6481	280	18	ai	ai	PROPN
ejpam-6481	280	19	nns	nns	NOUN
ejpam-6481	280	20	tools	tool	NOUN
ejpam-6481	280	21	.	.	PUNCT
ejpam-6481	281	1	we	we	PRON
ejpam-6481	281	2	compute	compute	VERB
ejpam-6481	281	3	the	the	DET
ejpam-6481	281	4	mse	mse	PROPN
ejpam-6481	281	5	,	,	PUNCT
ejpam-6481	281	6	rmse	rmse	NOUN
ejpam-6481	281	7	and	and	CCONJ
ejpam-6481	281	8	regression	regression	NOUN
ejpam-6481	281	9	coefficient	coefficient	NOUN
ejpam-6481	281	10	.	.	PUNCT
ejpam-6481	282	1	the	the	DET
ejpam-6481	282	2	circuit	circuit	NOUN
ejpam-6481	282	3	diagram	diagram	NOUN
ejpam-6481	282	4	of	of	ADP
ejpam-6481	282	5	the	the	DET
ejpam-6481	282	6	concerned	concerned	ADJ
ejpam-6481	282	7	nns	nns	NOUN
ejpam-6481	282	8	is	be	AUX
ejpam-6481	282	9	given	give	VERB
ejpam-6481	282	10	in	in	ADP
ejpam-6481	282	11	figure	figure	NOUN
ejpam-6481	282	12	5	5	NUM
ejpam-6481	282	13	.	.	PUNCT
ejpam-6481	282	14	figure	figure	VERB
ejpam-6481	282	15	5	5	NUM
ejpam-6481	282	16	:	:	PUNCT
ejpam-6481	282	17	diagram	diagram	NOUN
ejpam-6481	282	18	of	of	ADP
ejpam-6481	282	19	neural	neural	ADJ
ejpam-6481	282	20	network	network	NOUN
ejpam-6481	282	21	that	that	PRON
ejpam-6481	282	22	we	we	PRON
ejpam-6481	282	23	have	have	AUX
ejpam-6481	282	24	used	use	VERB
ejpam-6481	282	25	.	.	PUNCT
ejpam-6481	283	1	s.	s.	PROPN
ejpam-6481	283	2	a.shah	a.shah	PROPN
ejpam-6481	283	3	et	et	PROPN
ejpam-6481	283	4	al	al	PROPN
ejpam-6481	283	5	.	.	PUNCT
ejpam-6481	283	6	/	/	SYM
ejpam-6481	283	7	eur	eur	PROPN
ejpam-6481	283	8	.	.	PUNCT
ejpam-6481	284	1	j.	j.	PROPN
ejpam-6481	284	2	pure	pure	PROPN
ejpam-6481	284	3	appl	appl	PROPN
ejpam-6481	284	4	.	.	PROPN
ejpam-6481	284	5	math	math	PROPN
ejpam-6481	284	6	,	,	PUNCT
ejpam-6481	284	7	18	18	NUM
ejpam-6481	284	8	(	(	PUNCT
ejpam-6481	284	9	3	3	NUM
ejpam-6481	284	10	)	)	PUNCT
ejpam-6481	284	11	(	(	PUNCT
ejpam-6481	284	12	2025	2025	NUM
ejpam-6481	284	13	)	)	PUNCT
ejpam-6481	284	14	,	,	PUNCT
ejpam-6481	284	15	6481	6481	NUM
ejpam-6481	284	16	13	13	NUM
ejpam-6481	284	17	of	of	ADP
ejpam-6481	284	18	19	19	NUM
ejpam-6481	284	19	onward	onward	NOUN
ejpam-6481	285	1	,	,	PUNCT
ejpam-6481	285	2	we	we	PRON
ejpam-6481	285	3	presents	present	VERB
ejpam-6481	285	4	the	the	DET
ejpam-6481	285	5	graphical	graphical	ADJ
ejpam-6481	285	6	illustrations	illustration	NOUN
ejpam-6481	285	7	of	of	ADP
ejpam-6481	285	8	various	various	ADJ
ejpam-6481	285	9	data	datum	NOUN
ejpam-6481	285	10	including	include	VERB
ejpam-6481	285	11	all	all	DET
ejpam-6481	285	12	data	datum	NOUN
ejpam-6481	285	13	,	,	PUNCT
ejpam-6481	285	14	test	test	NOUN
ejpam-6481	285	15	data	datum	NOUN
ejpam-6481	285	16	,	,	PUNCT
ejpam-6481	285	17	validation	validation	NOUN
ejpam-6481	285	18	and	and	CCONJ
ejpam-6481	285	19	train	train	NOUN
ejpam-6481	285	20	data	datum	NOUN
ejpam-6481	285	21	.	.	PUNCT
ejpam-6481	286	1	also	also	ADV
ejpam-6481	286	2	the	the	DET
ejpam-6481	286	3	function	function	NOUN
ejpam-6481	286	4	fit	fit	ADJ
ejpam-6481	286	5	for	for	ADP
ejpam-6481	286	6	the	the	DET
ejpam-6481	286	7	given	give	VERB
ejpam-6481	286	8	compartments	compartment	NOUN
ejpam-6481	286	9	have	have	AUX
ejpam-6481	286	10	been	be	AUX
ejpam-6481	286	11	presented	present	VERB
ejpam-6481	286	12	.	.	PUNCT
ejpam-6481	287	1	in	in	ADP
ejpam-6481	287	2	figure	figure	NOUN
ejpam-6481	287	3	6	6	NUM
ejpam-6481	287	4	sub	sub	NOUN
ejpam-6481	287	5	plots	plot	NOUN
ejpam-6481	287	6	(	(	PUNCT
ejpam-6481	287	7	a)−	a)−	PROPN
ejpam-6481	287	8	(	(	PUNCT
ejpam-6481	287	9	d	d	NOUN
ejpam-6481	287	10	)	)	PUNCT
ejpam-6481	287	11	,	,	PUNCT
ejpam-6481	287	12	we	we	PRON
ejpam-6481	287	13	have	have	AUX
ejpam-6481	287	14	presented	present	VERB
ejpam-6481	287	15	all	all	DET
ejpam-6481	287	16	data	datum	NOUN
ejpam-6481	287	17	,	,	PUNCT
ejpam-6481	287	18	test	test	NOUN
ejpam-6481	287	19	data	datum	NOUN
ejpam-6481	287	20	,	,	PUNCT
ejpam-6481	287	21	validation	validation	NOUN
ejpam-6481	287	22	of	of	ADP
ejpam-6481	287	23	data	datum	NOUN
ejpam-6481	287	24	and	and	CCONJ
ejpam-6481	287	25	train	train	NOUN
ejpam-6481	287	26	data	datum	NOUN
ejpam-6481	287	27	for	for	ADP
ejpam-6481	287	28	the	the	DET
ejpam-6481	287	29	density	density	NOUN
ejpam-6481	287	30	of	of	ADP
ejpam-6481	287	31	healthy	healthy	ADJ
ejpam-6481	287	32	cells	cell	NOUN
ejpam-6481	287	33	using	use	VERB
ejpam-6481	287	34	adopted	adopt	VERB
ejpam-6481	287	35	nns	nn	NOUN
ejpam-6481	287	36	.	.	PUNCT
ejpam-6481	288	1	further	far	ADV
ejpam-6481	288	2	,	,	PUNCT
ejpam-6481	288	3	in	in	ADP
ejpam-6481	288	4	sub	sub	NOUN
ejpam-6481	288	5	plot	plot	NOUN
ejpam-6481	288	6	(	(	PUNCT
ejpam-6481	288	7	e	e	NOUN
ejpam-6481	288	8	)	)	PUNCT
ejpam-6481	288	9	of	of	ADP
ejpam-6481	288	10	figure	figure	NOUN
ejpam-6481	288	11	6	6	NUM
ejpam-6481	288	12	,	,	PUNCT
ejpam-6481	288	13	we	we	PRON
ejpam-6481	288	14	have	have	AUX
ejpam-6481	288	15	presented	present	VERB
ejpam-6481	288	16	the	the	DET
ejpam-6481	288	17	absolute	absolute	ADJ
ejpam-6481	288	18	error	error	NOUN
ejpam-6481	288	19	plots	plot	NOUN
ejpam-6481	288	20	between	between	ADP
ejpam-6481	288	21	the	the	DET
ejpam-6481	288	22	numerical	numerical	ADJ
ejpam-6481	288	23	and	and	CCONJ
ejpam-6481	288	24	and	and	CCONJ
ejpam-6481	288	25	nns	nns	PROPN
ejpam-6481	288	26	data	datum	NOUN
ejpam-6481	288	27	analysis	analysis	NOUN
ejpam-6481	288	28	,	,	PUNCT
ejpam-6481	288	29	we	we	PRON
ejpam-6481	288	30	see	see	VERB
ejpam-6481	288	31	that	that	PRON
ejpam-6481	288	32	error	error	NOUN
ejpam-6481	288	33	is	be	AUX
ejpam-6481	288	34	very	very	ADV
ejpam-6481	288	35	low	low	ADJ
ejpam-6481	288	36	which	which	PRON
ejpam-6481	288	37	shows	show	VERB
ejpam-6481	288	38	the	the	DET
ejpam-6481	288	39	best	good	ADJ
ejpam-6481	288	40	performance	performance	NOUN
ejpam-6481	288	41	of	of	ADP
ejpam-6481	288	42	our	our	PRON
ejpam-6481	288	43	methodology	methodology	NOUN
ejpam-6481	288	44	.	.	PUNCT
ejpam-6481	289	1	also	also	ADV
ejpam-6481	289	2	,	,	PUNCT
ejpam-6481	289	3	the	the	DET
ejpam-6481	289	4	function	function	NOUN
ejpam-6481	289	5	fits	fit	VERB
ejpam-6481	289	6	corresponding	correspond	VERB
ejpam-6481	289	7	to	to	ADP
ejpam-6481	289	8	various	various	ADJ
ejpam-6481	289	9	data	datum	NOUN
ejpam-6481	289	10	has	have	AUX
ejpam-6481	289	11	given	give	VERB
ejpam-6481	289	12	in	in	ADP
ejpam-6481	289	13	subplot	subplot	NOUN
ejpam-6481	289	14	(	(	PUNCT
ejpam-6481	289	15	f	f	X
ejpam-6481	289	16	)	)	PUNCT
ejpam-6481	289	17	of	of	ADP
ejpam-6481	289	18	figure	figure	NOUN
ejpam-6481	289	19	6	6	NUM
ejpam-6481	289	20	.	.	PUNCT
ejpam-6481	290	1	further	far	ADV
ejpam-6481	290	2	,	,	PUNCT
ejpam-6481	290	3	we	we	PRON
ejpam-6481	290	4	have	have	AUX
ejpam-6481	290	5	used	use	VERB
ejpam-6481	290	6	nns	nn	NOUN
ejpam-6481	290	7	with	with	ADP
ejpam-6481	290	8	two	two	NUM
ejpam-6481	290	9	hidden	hidden	ADJ
ejpam-6481	290	10	layers	layer	NOUN
ejpam-6481	290	11	of	of	ADP
ejpam-6481	290	12	20	20	NUM
ejpam-6481	290	13	neurons	neuron	NOUN
ejpam-6481	290	14	.	.	PUNCT
ejpam-6481	291	1	for	for	ADP
ejpam-6481	291	2	other	other	ADJ
ejpam-6481	291	3	units	unit	NOUN
ejpam-6481	291	4	,	,	PUNCT
ejpam-6481	291	5	we	we	PRON
ejpam-6481	291	6	give	give	VERB
ejpam-6481	291	7	table	table	NOUN
ejpam-6481	291	8	1	1	NUM
ejpam-6481	291	9	.	.	NOUN
ejpam-6481	291	10	0	0	NUM
ejpam-6481	291	11	20	20	NUM
ejpam-6481	291	12	40	40	NUM
ejpam-6481	291	13	60	60	NUM
ejpam-6481	291	14	80	80	NUM
ejpam-6481	291	15	100	100	NUM
ejpam-6481	291	16	120	120	NUM
ejpam-6481	291	17	6.5	6.5	NUM
ejpam-6481	291	18	7	7	NUM
ejpam-6481	291	19	7.5	7.5	NUM
ejpam-6481	291	20	8	8	NUM
ejpam-6481	291	21	8.5	8.5	NUM
ejpam-6481	291	22	9	9	NUM
ejpam-6481	291	23	9.5	9.5	NUM
ejpam-6481	291	24	10	10	NUM
ejpam-6481	291	25	all	all	DET
ejpam-6481	291	26	data	datum	NOUN
ejpam-6481	291	27	(	(	PUNCT
ejpam-6481	291	28	h	h	NOUN
ejpam-6481	291	29	)	)	PUNCT
ejpam-6481	291	30	outputs	output	NOUN
ejpam-6481	291	31	targets	target	VERB
ejpam-6481	292	1	6.5	6.5	NUM
ejpam-6481	292	2	7	7	NUM
ejpam-6481	292	3	7.5	7.5	NUM
ejpam-6481	292	4	8	8	NUM
ejpam-6481	292	5	8.5	8.5	NUM
ejpam-6481	292	6	9	9	NUM
ejpam-6481	292	7	9.5	9.5	NUM
ejpam-6481	292	8	10	10	NUM
ejpam-6481	292	9	6.5	6.5	NUM
ejpam-6481	292	10	7	7	NUM
ejpam-6481	292	11	7.5	7.5	NUM
ejpam-6481	292	12	8	8	NUM
ejpam-6481	292	13	8.5	8.5	NUM
ejpam-6481	292	14	9	9	NUM
ejpam-6481	292	15	9.5	9.5	NUM
ejpam-6481	292	16	10	10	NUM
ejpam-6481	292	17	r	r	NOUN
ejpam-6481	292	18	=	=	SYM
ejpam-6481	292	19	1.0	1.0	NUM
ejpam-6481	292	20	0	0	NUM
ejpam-6481	292	21	20	20	NUM
ejpam-6481	292	22	40	40	NUM
ejpam-6481	292	23	60	60	NUM
ejpam-6481	292	24	80	80	NUM
ejpam-6481	292	25	100	100	NUM
ejpam-6481	292	26	120	120	NUM
ejpam-6481	292	27	-0.06	-0.06	NUM
ejpam-6481	292	28	-0.04	-0.04	NUM
ejpam-6481	292	29	-0.02	-0.02	NUM
ejpam-6481	292	30	0	0	NUM
ejpam-6481	292	31	0.02	0.02	NUM
ejpam-6481	292	32	0.04	0.04	NUM
ejpam-6481	292	33	mse	mse	NOUN
ejpam-6481	292	34	=	=	SYM
ejpam-6481	292	35	6.7725e-05	6.7725e-05	NUM
ejpam-6481	292	36	,	,	PUNCT
ejpam-6481	292	37	rmse	rmse	NOUN
ejpam-6481	292	38	=	=	NOUN
ejpam-6481	292	39	0.0082295	0.0082295	NUM
ejpam-6481	292	40	error	error	NOUN
ejpam-6481	292	41	=	=	X
ejpam-6481	292	42	-0.00092669	-0.00092669	NOUN
ejpam-6481	292	43	,	,	PUNCT
ejpam-6481	292	44	=	=	SYM
ejpam-6481	292	45	0.008218	0.008218	NUM
ejpam-6481	292	46	-0.05	-0.05	NUM
ejpam-6481	292	47	-0.04	-0.04	PROPN
ejpam-6481	292	48	-0.03	-0.03	NUM
ejpam-6481	292	49	-0.02	-0.02	NUM
ejpam-6481	292	50	-0.01	-0.01	NUM
ejpam-6481	292	51	0	0	NUM
ejpam-6481	292	52	0.01	0.01	NUM
ejpam-6481	292	53	0.02	0.02	NUM
ejpam-6481	292	54	0.03	0.03	NUM
ejpam-6481	292	55	0	0	NUM
ejpam-6481	292	56	5	5	NUM
ejpam-6481	292	57	10	10	NUM
ejpam-6481	292	58	15	15	NUM
ejpam-6481	292	59	20	20	NUM
ejpam-6481	292	60	25	25	NUM
ejpam-6481	292	61	30	30	NUM
ejpam-6481	292	62	(	(	PUNCT
ejpam-6481	292	63	a	a	NOUN
ejpam-6481	292	64	)	)	PUNCT
ejpam-6481	292	65	0	0	NUM
ejpam-6481	293	1	10	10	NUM
ejpam-6481	293	2	20	20	NUM
ejpam-6481	293	3	30	30	NUM
ejpam-6481	293	4	40	40	NUM
ejpam-6481	293	5	50	50	NUM
ejpam-6481	293	6	60	60	NUM
ejpam-6481	293	7	70	70	NUM
ejpam-6481	293	8	80	80	NUM
ejpam-6481	293	9	6.5	6.5	NUM
ejpam-6481	293	10	7	7	NUM
ejpam-6481	293	11	7.5	7.5	NUM
ejpam-6481	293	12	8	8	NUM
ejpam-6481	293	13	8.5	8.5	NUM
ejpam-6481	293	14	9	9	NUM
ejpam-6481	293	15	9.5	9.5	NUM
ejpam-6481	293	16	10	10	NUM
ejpam-6481	293	17	train	train	NOUN
ejpam-6481	293	18	data	datum	NOUN
ejpam-6481	293	19	(	(	PUNCT
ejpam-6481	293	20	h	h	NOUN
ejpam-6481	293	21	)	)	PUNCT
ejpam-6481	293	22	outputs	output	NOUN
ejpam-6481	293	23	targets	target	VERB
ejpam-6481	293	24	6.5	6.5	NUM
ejpam-6481	293	25	7	7	NUM
ejpam-6481	293	26	7.5	7.5	NUM
ejpam-6481	293	27	8	8	NUM
ejpam-6481	293	28	8.5	8.5	NUM
ejpam-6481	293	29	9	9	NUM
ejpam-6481	293	30	9.5	9.5	NUM
ejpam-6481	293	31	10	10	NUM
ejpam-6481	293	32	6.5	6.5	NUM
ejpam-6481	293	33	7	7	NUM
ejpam-6481	293	34	7.5	7.5	NUM
ejpam-6481	293	35	8	8	NUM
ejpam-6481	293	36	8.5	8.5	NUM
ejpam-6481	293	37	9	9	NUM
ejpam-6481	293	38	9.5	9.5	NUM
ejpam-6481	293	39	10	10	NUM
ejpam-6481	293	40	r	r	NOUN
ejpam-6481	293	41	=	=	SYM
ejpam-6481	294	1	1	1	NUM
ejpam-6481	294	2	0	0	NUM
ejpam-6481	294	3	10	10	NUM
ejpam-6481	294	4	20	20	NUM
ejpam-6481	294	5	30	30	NUM
ejpam-6481	294	6	40	40	NUM
ejpam-6481	294	7	50	50	NUM
ejpam-6481	294	8	60	60	NUM
ejpam-6481	294	9	70	70	NUM
ejpam-6481	294	10	80	80	NUM
ejpam-6481	295	1	-6	-6	ADP
ejpam-6481	295	2	-4	-4	INTJ
ejpam-6481	296	1	-2	-2	NOUN
ejpam-6481	296	2	0	0	NUM
ejpam-6481	296	3	2	2	NUM
ejpam-6481	296	4	4	4	NUM
ejpam-6481	296	5	6	6	NUM
ejpam-6481	296	6	8	8	NUM
ejpam-6481	296	7	10	10	NUM
ejpam-6481	296	8	-	-	SYM
ejpam-6481	296	9	3	3	NUM
ejpam-6481	296	10	mse	mse	NOUN
ejpam-6481	296	11	=	=	SYM
ejpam-6481	296	12	2.5751e-06	2.5751e-06	NUM
ejpam-6481	296	13	,	,	PUNCT
ejpam-6481	296	14	rmse	rmse	NOUN
ejpam-6481	296	15	=	=	SYM
ejpam-6481	296	16	0.0016047	0.0016047	NUM
ejpam-6481	296	17	error	error	NOUN
ejpam-6481	296	18	=	=	SYM
ejpam-6481	296	19	-0.00042583	-0.00042583	NOUN
ejpam-6481	296	20	,	,	PUNCT
ejpam-6481	296	21	=	=	PUNCT
ejpam-6481	297	1	0.0015582	0.0015582	NUM
ejpam-6481	297	2	-4	-4	INTJ
ejpam-6481	297	3	-2	-2	NOUN
ejpam-6481	297	4	0	0	NUM
ejpam-6481	297	5	2	2	NUM
ejpam-6481	297	6	4	4	NUM
ejpam-6481	297	7	6	6	NUM
ejpam-6481	297	8	10	10	NUM
ejpam-6481	297	9	-	-	SYM
ejpam-6481	297	10	3	3	NUM
ejpam-6481	297	11	0	0	NUM
ejpam-6481	297	12	2	2	NUM
ejpam-6481	297	13	4	4	NUM
ejpam-6481	297	14	6	6	NUM
ejpam-6481	297	15	8	8	NUM
ejpam-6481	297	16	10	10	NUM
ejpam-6481	297	17	(	(	PUNCT
ejpam-6481	297	18	b	b	NOUN
ejpam-6481	297	19	)	)	PUNCT
ejpam-6481	297	20	0	0	NUM
ejpam-6481	297	21	5	5	NUM
ejpam-6481	297	22	10	10	NUM
ejpam-6481	297	23	15	15	NUM
ejpam-6481	297	24	6.5	6.5	NUM
ejpam-6481	297	25	7	7	NUM
ejpam-6481	297	26	7.5	7.5	NUM
ejpam-6481	297	27	8	8	NUM
ejpam-6481	297	28	8.5	8.5	NUM
ejpam-6481	297	29	9	9	NUM
ejpam-6481	297	30	9.5	9.5	NUM
ejpam-6481	297	31	10	10	NUM
ejpam-6481	297	32	validation	validation	NOUN
ejpam-6481	297	33	data	datum	NOUN
ejpam-6481	297	34	(	(	PUNCT
ejpam-6481	297	35	h	h	NOUN
ejpam-6481	297	36	)	)	PUNCT
ejpam-6481	297	37	outputs	output	NOUN
ejpam-6481	297	38	targets	target	VERB
ejpam-6481	297	39	6.5	6.5	NUM
ejpam-6481	297	40	7	7	NUM
ejpam-6481	297	41	7.5	7.5	NUM
ejpam-6481	297	42	8	8	NUM
ejpam-6481	297	43	8.5	8.5	NUM
ejpam-6481	297	44	9	9	NUM
ejpam-6481	297	45	9.5	9.5	NUM
ejpam-6481	297	46	10	10	NUM
ejpam-6481	297	47	6.5	6.5	NUM
ejpam-6481	297	48	7	7	NUM
ejpam-6481	297	49	7.5	7.5	NUM
ejpam-6481	297	50	8	8	NUM
ejpam-6481	297	51	8.5	8.5	NUM
ejpam-6481	297	52	9	9	NUM
ejpam-6481	297	53	9.5	9.5	NUM
ejpam-6481	297	54	10	10	NUM
ejpam-6481	297	55	r	r	NOUN
ejpam-6481	297	56	=	=	SYM
ejpam-6481	297	57	1.0	1.0	NUM
ejpam-6481	297	58	0	0	NUM
ejpam-6481	297	59	5	5	NUM
ejpam-6481	297	60	10	10	NUM
ejpam-6481	297	61	15	15	NUM
ejpam-6481	297	62	-0.06	-0.06	NUM
ejpam-6481	297	63	-0.05	-0.05	NUM
ejpam-6481	297	64	-0.04	-0.04	PROPN
ejpam-6481	297	65	-0.03	-0.03	NUM
ejpam-6481	297	66	-0.02	-0.02	NUM
ejpam-6481	297	67	-0.01	-0.01	NUM
ejpam-6481	297	68	0	0	NUM
ejpam-6481	297	69	0.01	0.01	NUM
ejpam-6481	297	70	0.02	0.02	NUM
ejpam-6481	297	71	mse	mse	NOUN
ejpam-6481	297	72	=	=	SYM
ejpam-6481	297	73	0.00030788	0.00030788	NUM
ejpam-6481	297	74	,	,	PUNCT
ejpam-6481	297	75	rmse	rmse	NOUN
ejpam-6481	297	76	=	=	SYM
ejpam-6481	297	77	0.017547	0.017547	NUM
ejpam-6481	297	78	error	error	NOUN
ejpam-6481	297	79	=	=	SYM
ejpam-6481	297	80	-0.0029459	-0.0029459	NOUN
ejpam-6481	297	81	,	,	PUNCT
ejpam-6481	297	82	=	=	SYM
ejpam-6481	298	1	0.017905	0.017905	NUM
ejpam-6481	298	2	-0.06	-0.06	NUM
ejpam-6481	298	3	-0.04	-0.04	NUM
ejpam-6481	298	4	-0.02	-0.02	NUM
ejpam-6481	298	5	0	0	NUM
ejpam-6481	298	6	0.02	0.02	NUM
ejpam-6481	298	7	0.04	0.04	NUM
ejpam-6481	298	8	0.06	0.06	NUM
ejpam-6481	298	9	0	0	NUM
ejpam-6481	298	10	0.5	0.5	NUM
ejpam-6481	298	11	1	1	NUM
ejpam-6481	298	12	1.5	1.5	NUM
ejpam-6481	298	13	2	2	NUM
ejpam-6481	298	14	2.5	2.5	NUM
ejpam-6481	298	15	3	3	NUM
ejpam-6481	298	16	(	(	PUNCT
ejpam-6481	298	17	c	c	NOUN
ejpam-6481	298	18	)	)	PUNCT
ejpam-6481	298	19	0	0	NUM
ejpam-6481	299	1	5	5	NUM
ejpam-6481	299	2	10	10	NUM
ejpam-6481	299	3	15	15	NUM
ejpam-6481	299	4	6.5	6.5	NUM
ejpam-6481	299	5	7	7	NUM
ejpam-6481	299	6	7.5	7.5	NUM
ejpam-6481	299	7	8	8	NUM
ejpam-6481	299	8	8.5	8.5	NUM
ejpam-6481	299	9	9	9	NUM
ejpam-6481	299	10	9.5	9.5	NUM
ejpam-6481	299	11	10	10	NUM
ejpam-6481	299	12	test	test	NOUN
ejpam-6481	299	13	data	datum	NOUN
ejpam-6481	299	14	(	(	PUNCT
ejpam-6481	299	15	h	h	NOUN
ejpam-6481	299	16	)	)	PUNCT
ejpam-6481	299	17	outputs	output	NOUN
ejpam-6481	299	18	targets	target	VERB
ejpam-6481	299	19	6.5	6.5	NUM
ejpam-6481	299	20	7	7	NUM
ejpam-6481	299	21	7.5	7.5	NUM
ejpam-6481	299	22	8	8	NUM
ejpam-6481	299	23	8.5	8.5	NUM
ejpam-6481	299	24	9	9	NUM
ejpam-6481	299	25	9.5	9.5	NUM
ejpam-6481	299	26	10	10	NUM
ejpam-6481	299	27	6.5	6.5	NUM
ejpam-6481	299	28	7	7	NUM
ejpam-6481	299	29	7.5	7.5	NUM
ejpam-6481	299	30	8	8	NUM
ejpam-6481	299	31	8.5	8.5	NUM
ejpam-6481	299	32	9	9	NUM
ejpam-6481	299	33	9.5	9.5	NUM
ejpam-6481	299	34	10	10	NUM
ejpam-6481	299	35	r	r	NOUN
ejpam-6481	299	36	=	=	SYM
ejpam-6481	299	37	1.0	1.0	NUM
ejpam-6481	299	38	0	0	NUM
ejpam-6481	299	39	5	5	NUM
ejpam-6481	299	40	10	10	NUM
ejpam-6481	299	41	15	15	NUM
ejpam-6481	299	42	-0.02	-0.02	NUM
ejpam-6481	299	43	-0.01	-0.01	NUM
ejpam-6481	299	44	0	0	NUM
ejpam-6481	299	45	0.01	0.01	NUM
ejpam-6481	299	46	0.02	0.02	NUM
ejpam-6481	299	47	0.03	0.03	NUM
ejpam-6481	299	48	mse	mse	NOUN
ejpam-6481	299	49	=	=	SYM
ejpam-6481	299	50	0.00013595	0.00013595	NUM
ejpam-6481	299	51	,	,	PUNCT
ejpam-6481	299	52	rmse	rmse	NOUN
ejpam-6481	299	53	=	=	SYM
ejpam-6481	299	54	0.01166	0.01166	NUM
ejpam-6481	299	55	error	error	NOUN
ejpam-6481	299	56	=	=	SYM
ejpam-6481	299	57	-0.0012782	-0.0012782	NOUN
ejpam-6481	299	58	,	,	PUNCT
ejpam-6481	299	59	=	=	NOUN
ejpam-6481	300	1	0.011996	0.011996	NUM
ejpam-6481	300	2	-0.04	-0.04	NUM
ejpam-6481	300	3	-0.03	-0.03	NUM
ejpam-6481	300	4	-0.02	-0.02	NUM
ejpam-6481	300	5	-0.01	-0.01	NUM
ejpam-6481	300	6	0	0	NUM
ejpam-6481	300	7	0.01	0.01	NUM
ejpam-6481	300	8	0.02	0.02	NUM
ejpam-6481	300	9	0.03	0.03	NUM
ejpam-6481	300	10	0.04	0.04	NUM
ejpam-6481	300	11	0	0	NUM
ejpam-6481	300	12	0.5	0.5	NUM
ejpam-6481	300	13	1	1	NUM
ejpam-6481	300	14	1.5	1.5	NUM
ejpam-6481	300	15	2	2	NUM
ejpam-6481	300	16	(	(	PUNCT
ejpam-6481	300	17	d	d	NOUN
ejpam-6481	300	18	)	)	PUNCT
ejpam-6481	300	19	0	0	NUM
ejpam-6481	300	20	5	5	NUM
ejpam-6481	300	21	10	10	NUM
ejpam-6481	300	22	15	15	NUM
ejpam-6481	300	23	20	20	NUM
ejpam-6481	300	24	25	25	NUM
ejpam-6481	300	25	30	30	NUM
ejpam-6481	300	26	35	35	NUM
ejpam-6481	300	27	40	40	NUM
ejpam-6481	300	28	45	45	NUM
ejpam-6481	300	29	50	50	NUM
ejpam-6481	300	30	t	t	NOUN
ejpam-6481	300	31	10	10	NUM
ejpam-6481	300	32	-	-	SYM
ejpam-6481	300	33	7	7	NUM
ejpam-6481	300	34	10	10	NUM
ejpam-6481	300	35	-	-	SYM
ejpam-6481	300	36	6	6	NUM
ejpam-6481	300	37	10	10	NUM
ejpam-6481	300	38	-	-	SYM
ejpam-6481	300	39	5	5	NUM
ejpam-6481	300	40	10	10	NUM
ejpam-6481	300	41	-	-	SYM
ejpam-6481	300	42	4	4	NUM
ejpam-6481	300	43	10	10	NUM
ejpam-6481	300	44	-	-	SYM
ejpam-6481	300	45	3	3	NUM
ejpam-6481	300	46	10	10	NUM
ejpam-6481	300	47	-	-	SYM
ejpam-6481	300	48	2	2	NUM
ejpam-6481	300	49	10	10	NUM
ejpam-6481	300	50	-	-	SYM
ejpam-6481	300	51	1	1	NUM
ejpam-6481	300	52	a	a	DET
ejpam-6481	300	53	b	b	NOUN
ejpam-6481	300	54	so	so	ADV
ejpam-6481	300	55	lu	lu	PROPN
ejpam-6481	300	56	te	te	PROPN
ejpam-6481	300	57	e	e	PROPN
ejpam-6481	300	58	rr	rr	NOUN
ejpam-6481	300	59	o	o	NOUN
ejpam-6481	300	60	rs	rs	PROPN
ejpam-6481	300	61	h	h	NOUN
ejpam-6481	300	62	(	(	PUNCT
ejpam-6481	300	63	t	t	PROPN
ejpam-6481	300	64	)	)	PUNCT
ejpam-6481	300	65	0.75	0.75	NUM
ejpam-6481	300	66	0.85	0.85	NUM
ejpam-6481	300	67	0.95	0.95	NUM
ejpam-6481	300	68	1.00	1.00	NUM
ejpam-6481	300	69	(	(	PUNCT
ejpam-6481	300	70	e	e	NOUN
ejpam-6481	300	71	)	)	PUNCT
ejpam-6481	300	72	0	0	NUM
ejpam-6481	300	73	5	5	NUM
ejpam-6481	300	74	10	10	NUM
ejpam-6481	300	75	15	15	NUM
ejpam-6481	300	76	20	20	NUM
ejpam-6481	300	77	25	25	NUM
ejpam-6481	300	78	30	30	NUM
ejpam-6481	300	79	35	35	NUM
ejpam-6481	300	80	40	40	NUM
ejpam-6481	300	81	45	45	NUM
ejpam-6481	300	82	50	50	NUM
ejpam-6481	300	83	6.5	6.5	NUM
ejpam-6481	300	84	7	7	NUM
ejpam-6481	300	85	7.5	7.5	NUM
ejpam-6481	300	86	8	8	NUM
ejpam-6481	300	87	8.5	8.5	NUM
ejpam-6481	300	88	9	9	NUM
ejpam-6481	300	89	9.5	9.5	NUM
ejpam-6481	300	90	10	10	NUM
ejpam-6481	300	91	o	o	NOUN
ejpam-6481	300	92	u	u	NOUN
ejpam-6481	300	93	tp	tp	ADP
ejpam-6481	300	94	u	u	PROPN
ejpam-6481	300	95	t	t	PROPN
ejpam-6481	300	96	an	an	DET
ejpam-6481	300	97	d	d	PROPN
ejpam-6481	300	98	t	t	PROPN
ejpam-6481	300	99	ar	ar	PROPN
ejpam-6481	300	100	g	g	PROPN
ejpam-6481	300	101	et	et	PROPN
ejpam-6481	300	102	function	function	VERB
ejpam-6481	300	103	fit	fit	ADJ
ejpam-6481	300	104	for	for	ADP
ejpam-6481	300	105	output	output	NOUN
ejpam-6481	300	106	element	element	NOUN
ejpam-6481	300	107	h	h	NOUN
ejpam-6481	300	108	training	training	NOUN
ejpam-6481	300	109	targets	target	NOUN
ejpam-6481	300	110	training	train	VERB
ejpam-6481	300	111	outputs	outputs	ADP
ejpam-6481	300	112	validation	validation	NOUN
ejpam-6481	300	113	targets	target	NOUN
ejpam-6481	300	114	validation	validation	NOUN
ejpam-6481	300	115	outputs	output	NOUN
ejpam-6481	300	116	test	test	NOUN
ejpam-6481	300	117	targets	target	NOUN
ejpam-6481	300	118	test	test	NOUN
ejpam-6481	300	119	outputs	output	NOUN
ejpam-6481	300	120	errors	error	NOUN
ejpam-6481	300	121	fit	fit	VERB
ejpam-6481	300	122	input	input	NOUN
ejpam-6481	300	123	-0.06	-0.06	NUM
ejpam-6481	300	124	-0.04	-0.04	NUM
ejpam-6481	300	125	-0.02	-0.02	NUM
ejpam-6481	300	126	0	0	NUM
ejpam-6481	300	127	0.02	0.02	NUM
ejpam-6481	300	128	0.04	0.04	NUM
ejpam-6481	300	129	e	e	NOUN
ejpam-6481	300	130	rr	rr	NOUN
ejpam-6481	300	131	o	o	NOUN
ejpam-6481	300	132	r	r	NOUN
ejpam-6481	300	133	targets	target	NOUN
ejpam-6481	300	134	outputs	output	NOUN
ejpam-6481	300	135	(	(	PUNCT
ejpam-6481	300	136	f	f	X
ejpam-6481	300	137	)	)	PUNCT
ejpam-6481	300	138	figure	figure	NOUN
ejpam-6481	300	139	6	6	NUM
ejpam-6481	300	140	:	:	PUNCT
ejpam-6481	300	141	graphical	graphical	ADJ
ejpam-6481	300	142	presentation	presentation	NOUN
ejpam-6481	300	143	of	of	ADP
ejpam-6481	300	144	various	various	ADJ
ejpam-6481	300	145	data	datum	NOUN
ejpam-6481	300	146	results	result	NOUN
ejpam-6481	300	147	for	for	ADP
ejpam-6481	300	148	class	class	NOUN
ejpam-6481	300	149	h	h	NOUN
ejpam-6481	300	150	using	use	VERB
ejpam-6481	300	151	nns	nn	NOUN
ejpam-6481	300	152	(	(	PUNCT
ejpam-6481	300	153	a	a	X
ejpam-6481	300	154	)	)	PUNCT
ejpam-6481	300	155	all	all	DET
ejpam-6481	300	156	data	datum	NOUN
ejpam-6481	300	157	,	,	PUNCT
ejpam-6481	300	158	(	(	PUNCT
ejpam-6481	300	159	b	b	X
ejpam-6481	300	160	)	)	PUNCT
ejpam-6481	300	161	train	train	NOUN
ejpam-6481	300	162	data	datum	NOUN
ejpam-6481	300	163	,	,	PUNCT
ejpam-6481	300	164	(	(	PUNCT
ejpam-6481	300	165	c	c	NOUN
ejpam-6481	300	166	)	)	PUNCT
ejpam-6481	300	167	test	test	NOUN
ejpam-6481	300	168	data	datum	NOUN
ejpam-6481	300	169	(	(	PUNCT
ejpam-6481	300	170	d	d	NOUN
ejpam-6481	300	171	)	)	PUNCT
ejpam-6481	300	172	validation	validation	NOUN
ejpam-6481	300	173	(	(	PUNCT
ejpam-6481	300	174	e	e	NOUN
ejpam-6481	300	175	)	)	PUNCT
ejpam-6481	300	176	absolute	absolute	ADJ
ejpam-6481	300	177	error	error	NOUN
ejpam-6481	300	178	using	use	VERB
ejpam-6481	300	179	nns	nn	NOUN
ejpam-6481	300	180	and	and	CCONJ
ejpam-6481	300	181	(	(	PUNCT
ejpam-6481	300	182	f	f	X
ejpam-6481	300	183	)	)	PUNCT
ejpam-6481	300	184	function	function	VERB
ejpam-6481	300	185	fit	fit	ADJ
ejpam-6481	300	186	performance	performance	NOUN
ejpam-6481	300	187	.	.	PUNCT
ejpam-6481	301	1	s.	s.	PROPN
ejpam-6481	301	2	a.shah	a.shah	PROPN
ejpam-6481	301	3	et	et	PROPN
ejpam-6481	301	4	al	al	PROPN
ejpam-6481	301	5	.	.	PUNCT
ejpam-6481	301	6	/	/	SYM
ejpam-6481	301	7	eur	eur	PROPN
ejpam-6481	301	8	.	.	PUNCT
ejpam-6481	302	1	j.	j.	PROPN
ejpam-6481	302	2	pure	pure	PROPN
ejpam-6481	302	3	appl	appl	PROPN
ejpam-6481	302	4	.	.	PROPN
ejpam-6481	302	5	math	math	PROPN
ejpam-6481	302	6	,	,	PUNCT
ejpam-6481	302	7	18	18	NUM
ejpam-6481	302	8	(	(	PUNCT
ejpam-6481	302	9	3	3	NUM
ejpam-6481	302	10	)	)	PUNCT
ejpam-6481	302	11	(	(	PUNCT
ejpam-6481	302	12	2025	2025	NUM
ejpam-6481	302	13	)	)	PUNCT
ejpam-6481	302	14	,	,	PUNCT
ejpam-6481	302	15	6481	6481	NUM
ejpam-6481	302	16	14	14	NUM
ejpam-6481	302	17	of	of	ADP
ejpam-6481	302	18	19	19	NUM
ejpam-6481	302	19	unite	unite	ADJ
ejpam-6481	302	20	initial	initial	ADJ
ejpam-6481	302	21	value	value	NOUN
ejpam-6481	302	22	stopped	stop	VERB
ejpam-6481	302	23	value	value	NOUN
ejpam-6481	302	24	target	target	NOUN
ejpam-6481	302	25	value	value	NOUN
ejpam-6481	302	26	epoch	epoch	NOUN
ejpam-6481	302	27	0	0	NUM
ejpam-6481	302	28	11	11	NUM
ejpam-6481	302	29	1000	1000	NUM
ejpam-6481	302	30	elapsed	elapse	VERB
ejpam-6481	302	31	time	time	NOUN
ejpam-6481	302	32	00:00:00	00:00:00	NUM
ejpam-6481	302	33	performance	performance	NOUN
ejpam-6481	302	34	24.9	24.9	NUM
ejpam-6481	302	35	4.06e−	4.06e−	NUM
ejpam-6481	302	36	11	11	NUM
ejpam-6481	302	37	0	0	NUM
ejpam-6481	302	38	gradient	gradient	NOUN
ejpam-6481	302	39	41.7	41.7	NUM
ejpam-6481	302	40	6.53e−	6.53e−	NUM
ejpam-6481	302	41	05	05	NUM
ejpam-6481	303	1	1e−	1e−	NUM
ejpam-6481	303	2	07	07	NUM
ejpam-6481	303	3	standard	standard	ADJ
ejpam-6481	303	4	deviation	deviation	NOUN
ejpam-6481	303	5	0.001	0.001	NUM
ejpam-6481	303	6	1e−	1e−	NUM
ejpam-6481	303	7	11	11	NUM
ejpam-6481	303	8	1e+	1e+	NUM
ejpam-6481	303	9	11	11	NUM
ejpam-6481	303	10	validation	validation	NOUN
ejpam-6481	303	11	checks	check	NOUN
ejpam-6481	303	12	0	0	NUM
ejpam-6481	303	13	6	6	NUM
ejpam-6481	303	14	6	6	NUM
ejpam-6481	303	15	table	table	NOUN
ejpam-6481	303	16	1	1	NUM
ejpam-6481	303	17	:	:	PUNCT
ejpam-6481	303	18	training	train	VERB
ejpam-6481	303	19	progress	progress	NOUN
ejpam-6481	303	20	presentation	presentation	NOUN
ejpam-6481	303	21	for	for	ADP
ejpam-6481	303	22	class	class	NOUN
ejpam-6481	303	23	h.	h.	PROPN
ejpam-6481	303	24	in	in	ADP
ejpam-6481	303	25	figure	figure	NOUN
ejpam-6481	303	26	7	7	NUM
ejpam-6481	303	27	sub	sub	NOUN
ejpam-6481	303	28	plots	plot	NOUN
ejpam-6481	303	29	(	(	PUNCT
ejpam-6481	303	30	a)−	a)−	PROPN
ejpam-6481	303	31	(	(	PUNCT
ejpam-6481	303	32	d	d	NOUN
ejpam-6481	303	33	)	)	PUNCT
ejpam-6481	303	34	,	,	PUNCT
ejpam-6481	303	35	we	we	PRON
ejpam-6481	303	36	have	have	AUX
ejpam-6481	303	37	presented	present	VERB
ejpam-6481	303	38	all	all	DET
ejpam-6481	303	39	data	datum	NOUN
ejpam-6481	303	40	,	,	PUNCT
ejpam-6481	303	41	test	test	NOUN
ejpam-6481	303	42	data	datum	NOUN
ejpam-6481	303	43	,	,	PUNCT
ejpam-6481	303	44	validation	validation	NOUN
ejpam-6481	303	45	of	of	ADP
ejpam-6481	303	46	data	datum	NOUN
ejpam-6481	303	47	and	and	CCONJ
ejpam-6481	303	48	train	train	NOUN
ejpam-6481	303	49	data	datum	NOUN
ejpam-6481	303	50	for	for	ADP
ejpam-6481	303	51	the	the	DET
ejpam-6481	303	52	density	density	NOUN
ejpam-6481	303	53	of	of	ADP
ejpam-6481	303	54	infected	infected	ADJ
ejpam-6481	303	55	cells	cell	NOUN
ejpam-6481	303	56	using	use	VERB
ejpam-6481	303	57	adopted	adopt	VERB
ejpam-6481	303	58	nns	nn	NOUN
ejpam-6481	303	59	.	.	PUNCT
ejpam-6481	304	1	further	far	ADV
ejpam-6481	304	2	,	,	PUNCT
ejpam-6481	304	3	in	in	ADP
ejpam-6481	304	4	sub	sub	NOUN
ejpam-6481	304	5	plot	plot	NOUN
ejpam-6481	304	6	(	(	PUNCT
ejpam-6481	304	7	e	e	NOUN
ejpam-6481	304	8	)	)	PUNCT
ejpam-6481	304	9	of	of	ADP
ejpam-6481	304	10	figure	figure	NOUN
ejpam-6481	304	11	7	7	NUM
ejpam-6481	304	12	,	,	PUNCT
ejpam-6481	304	13	we	we	PRON
ejpam-6481	304	14	have	have	AUX
ejpam-6481	304	15	presented	present	VERB
ejpam-6481	304	16	the	the	DET
ejpam-6481	304	17	absolute	absolute	ADJ
ejpam-6481	304	18	error	error	NOUN
ejpam-6481	304	19	plots	plot	NOUN
ejpam-6481	304	20	between	between	ADP
ejpam-6481	304	21	the	the	DET
ejpam-6481	304	22	numerical	numerical	ADJ
ejpam-6481	304	23	and	and	CCONJ
ejpam-6481	304	24	and	and	CCONJ
ejpam-6481	304	25	nns	nns	PROPN
ejpam-6481	304	26	data	datum	NOUN
ejpam-6481	304	27	analysis	analysis	NOUN
ejpam-6481	304	28	,	,	PUNCT
ejpam-6481	304	29	we	we	PRON
ejpam-6481	304	30	see	see	VERB
ejpam-6481	304	31	that	that	PRON
ejpam-6481	304	32	error	error	NOUN
ejpam-6481	304	33	is	be	AUX
ejpam-6481	304	34	very	very	ADV
ejpam-6481	304	35	low	low	ADJ
ejpam-6481	304	36	which	which	PRON
ejpam-6481	304	37	shows	show	VERB
ejpam-6481	304	38	the	the	DET
ejpam-6481	304	39	best	good	ADJ
ejpam-6481	304	40	performance	performance	NOUN
ejpam-6481	304	41	of	of	ADP
ejpam-6481	304	42	our	our	PRON
ejpam-6481	304	43	methodology	methodology	NOUN
ejpam-6481	304	44	.	.	PUNCT
ejpam-6481	305	1	also	also	ADV
ejpam-6481	305	2	,	,	PUNCT
ejpam-6481	305	3	the	the	DET
ejpam-6481	305	4	function	function	NOUN
ejpam-6481	305	5	fit	fit	NOUN
ejpam-6481	305	6	of	of	ADP
ejpam-6481	305	7	class	class	NOUN
ejpam-6481	305	8	i	i	PRON
ejpam-6481	305	9	corresponding	correspond	VERB
ejpam-6481	305	10	to	to	ADP
ejpam-6481	305	11	various	various	ADJ
ejpam-6481	305	12	data	datum	NOUN
ejpam-6481	305	13	has	have	AUX
ejpam-6481	305	14	given	give	VERB
ejpam-6481	305	15	in	in	ADP
ejpam-6481	305	16	subplot	subplot	NOUN
ejpam-6481	305	17	(	(	PUNCT
ejpam-6481	305	18	f	f	X
ejpam-6481	305	19	)	)	PUNCT
ejpam-6481	305	20	of	of	ADP
ejpam-6481	305	21	figure	figure	NOUN
ejpam-6481	305	22	7	7	NUM
ejpam-6481	305	23	.	.	PUNCT
ejpam-6481	306	1	the	the	DET
ejpam-6481	306	2	nns	nns	NOUN
ejpam-6481	306	3	used	use	VERB
ejpam-6481	306	4	contain	contain	VERB
ejpam-6481	306	5	two	two	NUM
ejpam-6481	306	6	hidden	hidden	ADJ
ejpam-6481	306	7	layers	layer	NOUN
ejpam-6481	306	8	with	with	ADP
ejpam-6481	306	9	20	20	NUM
ejpam-6481	306	10	neurons	neuron	NOUN
ejpam-6481	306	11	,	,	PUNCT
ejpam-6481	306	12	while	while	SCONJ
ejpam-6481	306	13	other	other	ADJ
ejpam-6481	306	14	units	unit	NOUN
ejpam-6481	306	15	are	be	AUX
ejpam-6481	306	16	presented	present	VERB
ejpam-6481	306	17	in	in	ADP
ejpam-6481	306	18	table	table	NOUN
ejpam-6481	306	19	2	2	NUM
ejpam-6481	306	20	.	.	PUNCT
ejpam-6481	307	1	s.	s.	PROPN
ejpam-6481	307	2	a.shah	a.shah	PROPN
ejpam-6481	307	3	et	et	PROPN
ejpam-6481	307	4	al	al	PROPN
ejpam-6481	307	5	.	.	PUNCT
ejpam-6481	307	6	/	/	SYM
ejpam-6481	307	7	eur	eur	PROPN
ejpam-6481	307	8	.	.	PUNCT
ejpam-6481	308	1	j.	j.	PROPN
ejpam-6481	308	2	pure	pure	PROPN
ejpam-6481	308	3	appl	appl	PROPN
ejpam-6481	308	4	.	.	PROPN
ejpam-6481	308	5	math	math	PROPN
ejpam-6481	308	6	,	,	PUNCT
ejpam-6481	308	7	18	18	NUM
ejpam-6481	308	8	(	(	PUNCT
ejpam-6481	308	9	3	3	NUM
ejpam-6481	308	10	)	)	PUNCT
ejpam-6481	308	11	(	(	PUNCT
ejpam-6481	308	12	2025	2025	NUM
ejpam-6481	308	13	)	)	PUNCT
ejpam-6481	308	14	,	,	PUNCT
ejpam-6481	308	15	6481	6481	NUM
ejpam-6481	308	16	15	15	NUM
ejpam-6481	308	17	of	of	ADP
ejpam-6481	308	18	19	19	NUM
ejpam-6481	308	19	0	0	NUM
ejpam-6481	308	20	20	20	NUM
ejpam-6481	308	21	40	40	NUM
ejpam-6481	308	22	60	60	NUM
ejpam-6481	308	23	80	80	NUM
ejpam-6481	308	24	100	100	NUM
ejpam-6481	308	25	120	120	NUM
ejpam-6481	308	26	2	2	NUM
ejpam-6481	308	27	2.05	2.05	NUM
ejpam-6481	308	28	2.1	2.1	NUM
ejpam-6481	308	29	2.15	2.15	NUM
ejpam-6481	308	30	2.2	2.2	NUM
ejpam-6481	309	1	all	all	DET
ejpam-6481	309	2	data	datum	NOUN
ejpam-6481	309	3	(	(	PUNCT
ejpam-6481	309	4	i	i	NOUN
ejpam-6481	309	5	)	)	PUNCT
ejpam-6481	309	6	outputs	output	VERB
ejpam-6481	309	7	targets	target	NOUN
ejpam-6481	309	8	2	2	NUM
ejpam-6481	309	9	2.02	2.02	NUM
ejpam-6481	309	10	2.04	2.04	NUM
ejpam-6481	309	11	2.06	2.06	NUM
ejpam-6481	309	12	2.08	2.08	NUM
ejpam-6481	309	13	2.1	2.1	NUM
ejpam-6481	309	14	2.12	2.12	NUM
ejpam-6481	309	15	2.14	2.14	NUM
ejpam-6481	309	16	2.16	2.16	NUM
ejpam-6481	309	17	2.18	2.18	NUM
ejpam-6481	309	18	2	2	NUM
ejpam-6481	309	19	2.05	2.05	NUM
ejpam-6481	309	20	2.1	2.1	NUM
ejpam-6481	309	21	2.15	2.15	NUM
ejpam-6481	309	22	2.2	2.2	NUM
ejpam-6481	309	23	r	r	NOUN
ejpam-6481	309	24	=	=	SYM
ejpam-6481	309	25	1.0	1.0	NUM
ejpam-6481	309	26	0	0	NUM
ejpam-6481	309	27	20	20	NUM
ejpam-6481	309	28	40	40	NUM
ejpam-6481	309	29	60	60	NUM
ejpam-6481	309	30	80	80	NUM
ejpam-6481	309	31	100	100	NUM
ejpam-6481	309	32	120	120	NUM
ejpam-6481	309	33	-2	-2	NOUN
ejpam-6481	309	34	-1	-1	SYM
ejpam-6481	309	35	0	0	NUM
ejpam-6481	309	36	1	1	NUM
ejpam-6481	309	37	2	2	NUM
ejpam-6481	309	38	3	3	NUM
ejpam-6481	309	39	4	4	NUM
ejpam-6481	309	40	10	10	NUM
ejpam-6481	309	41	-	-	SYM
ejpam-6481	309	42	3	3	NUM
ejpam-6481	309	43	mse	mse	NOUN
ejpam-6481	309	44	=	=	SYM
ejpam-6481	309	45	4.2709e-07	4.2709e-07	NUM
ejpam-6481	309	46	,	,	PUNCT
ejpam-6481	309	47	rmse	rmse	NOUN
ejpam-6481	309	48	=	=	SYM
ejpam-6481	309	49	0.00065352	0.00065352	NUM
ejpam-6481	309	50	error	error	NOUN
ejpam-6481	309	51	=	=	NOUN
ejpam-6481	309	52	0.00014152	0.00014152	NUM
ejpam-6481	309	53	,	,	PUNCT
ejpam-6481	309	54	=	=	SYM
ejpam-6481	309	55	0.00064119	0.00064119	NUM
ejpam-6481	309	56	-2	-2	INTJ
ejpam-6481	309	57	-1	-1	NOUN
ejpam-6481	309	58	0	0	NUM
ejpam-6481	309	59	1	1	NUM
ejpam-6481	309	60	2	2	NUM
ejpam-6481	309	61	3	3	NUM
ejpam-6481	309	62	10	10	NUM
ejpam-6481	309	63	-	-	SYM
ejpam-6481	309	64	3	3	NUM
ejpam-6481	309	65	0	0	NUM
ejpam-6481	309	66	10	10	NUM
ejpam-6481	309	67	20	20	NUM
ejpam-6481	309	68	30	30	NUM
ejpam-6481	309	69	40	40	NUM
ejpam-6481	309	70	50	50	NUM
ejpam-6481	309	71	60	60	NUM
ejpam-6481	309	72	70	70	NUM
ejpam-6481	309	73	(	(	PUNCT
ejpam-6481	309	74	a	a	NOUN
ejpam-6481	309	75	)	)	PUNCT
ejpam-6481	309	76	0	0	NUM
ejpam-6481	309	77	10	10	NUM
ejpam-6481	309	78	20	20	NUM
ejpam-6481	309	79	30	30	NUM
ejpam-6481	309	80	40	40	NUM
ejpam-6481	309	81	50	50	NUM
ejpam-6481	309	82	60	60	NUM
ejpam-6481	309	83	70	70	NUM
ejpam-6481	309	84	80	80	NUM
ejpam-6481	309	85	2	2	NUM
ejpam-6481	309	86	2.05	2.05	NUM
ejpam-6481	309	87	2.1	2.1	NUM
ejpam-6481	309	88	2.15	2.15	NUM
ejpam-6481	309	89	2.2	2.2	NUM
ejpam-6481	309	90	train	train	NOUN
ejpam-6481	309	91	data	datum	NOUN
ejpam-6481	309	92	(	(	PUNCT
ejpam-6481	309	93	h	h	NOUN
ejpam-6481	309	94	)	)	PUNCT
ejpam-6481	309	95	outputs	output	NOUN
ejpam-6481	309	96	targets	target	NOUN
ejpam-6481	309	97	2	2	NUM
ejpam-6481	309	98	2.02	2.02	NUM
ejpam-6481	309	99	2.04	2.04	NUM
ejpam-6481	309	100	2.06	2.06	NUM
ejpam-6481	309	101	2.08	2.08	NUM
ejpam-6481	309	102	2.1	2.1	NUM
ejpam-6481	309	103	2.12	2.12	NUM
ejpam-6481	309	104	2.14	2.14	NUM
ejpam-6481	309	105	2.16	2.16	NUM
ejpam-6481	309	106	2.18	2.18	NUM
ejpam-6481	309	107	2	2	NUM
ejpam-6481	309	108	2.05	2.05	NUM
ejpam-6481	309	109	2.1	2.1	NUM
ejpam-6481	309	110	2.15	2.15	NUM
ejpam-6481	309	111	2.2	2.2	NUM
ejpam-6481	309	112	r	r	NOUN
ejpam-6481	309	113	=	=	SYM
ejpam-6481	310	1	1	1	NUM
ejpam-6481	310	2	0	0	NUM
ejpam-6481	310	3	10	10	NUM
ejpam-6481	310	4	20	20	NUM
ejpam-6481	310	5	30	30	NUM
ejpam-6481	310	6	40	40	NUM
ejpam-6481	310	7	50	50	NUM
ejpam-6481	310	8	60	60	NUM
ejpam-6481	310	9	70	70	NUM
ejpam-6481	310	10	80	80	NUM
ejpam-6481	310	11	-3	-3	INTJ
ejpam-6481	310	12	-2	-2	INTJ
ejpam-6481	310	13	-1	-1	SYM
ejpam-6481	310	14	0	0	NUM
ejpam-6481	311	1	1	1	NUM
ejpam-6481	311	2	2	2	NUM
ejpam-6481	311	3	3	3	NUM
ejpam-6481	311	4	10	10	NUM
ejpam-6481	311	5	-	-	SYM
ejpam-6481	311	6	5	5	NUM
ejpam-6481	311	7	mse	mse	NOUN
ejpam-6481	311	8	=	=	SYM
ejpam-6481	311	9	5.9067e-11	5.9067e-11	NUM
ejpam-6481	311	10	,	,	PUNCT
ejpam-6481	311	11	rmse	rmse	NOUN
ejpam-6481	311	12	=	=	NOUN
ejpam-6481	311	13	7.6855e-06	7.6855e-06	NUM
ejpam-6481	311	14	error	error	NOUN
ejpam-6481	311	15	=	=	SYM
ejpam-6481	311	16	-2.0324e-10	-2.0324e-10	NOUN
ejpam-6481	311	17	,	,	PUNCT
ejpam-6481	311	18	=	=	SYM
ejpam-6481	311	19	7.7402e-06	7.7402e-06	NUM
ejpam-6481	311	20	-2.5	-2.5	NOUN
ejpam-6481	311	21	-2	-2	INTJ
ejpam-6481	311	22	-1.5	-1.5	NUM
ejpam-6481	311	23	-1	-1	PROPN
ejpam-6481	312	1	-0.5	-0.5	X
ejpam-6481	312	2	0	0	NUM
ejpam-6481	312	3	0.5	0.5	NUM
ejpam-6481	312	4	1	1	NUM
ejpam-6481	312	5	1.5	1.5	NUM
ejpam-6481	312	6	2	2	NUM
ejpam-6481	312	7	2.5	2.5	NUM
ejpam-6481	312	8	10	10	NUM
ejpam-6481	312	9	-	-	SYM
ejpam-6481	312	10	5	5	NUM
ejpam-6481	312	11	0	0	NUM
ejpam-6481	312	12	5	5	NUM
ejpam-6481	312	13	10	10	NUM
ejpam-6481	312	14	15	15	NUM
ejpam-6481	312	15	20	20	NUM
ejpam-6481	312	16	(	(	PUNCT
ejpam-6481	312	17	b	b	NOUN
ejpam-6481	312	18	)	)	PUNCT
ejpam-6481	312	19	0	0	NUM
ejpam-6481	312	20	5	5	NUM
ejpam-6481	312	21	10	10	NUM
ejpam-6481	312	22	15	15	NUM
ejpam-6481	312	23	2.02	2.02	NUM
ejpam-6481	312	24	2.04	2.04	NUM
ejpam-6481	312	25	2.06	2.06	NUM
ejpam-6481	312	26	2.08	2.08	NUM
ejpam-6481	312	27	2.1	2.1	NUM
ejpam-6481	312	28	2.12	2.12	NUM
ejpam-6481	312	29	2.14	2.14	NUM
ejpam-6481	312	30	2.16	2.16	NUM
ejpam-6481	312	31	2.18	2.18	NUM
ejpam-6481	312	32	validation	validation	NOUN
ejpam-6481	312	33	data	datum	NOUN
ejpam-6481	312	34	(	(	PUNCT
ejpam-6481	312	35	h	h	NOUN
ejpam-6481	312	36	)	)	PUNCT
ejpam-6481	312	37	outputs	output	NOUN
ejpam-6481	312	38	targets	target	NOUN
ejpam-6481	312	39	2.02	2.02	NUM
ejpam-6481	312	40	2.04	2.04	NUM
ejpam-6481	312	41	2.06	2.06	NUM
ejpam-6481	312	42	2.08	2.08	NUM
ejpam-6481	312	43	2.1	2.1	NUM
ejpam-6481	312	44	2.12	2.12	NUM
ejpam-6481	312	45	2.14	2.14	NUM
ejpam-6481	312	46	2.16	2.16	NUM
ejpam-6481	312	47	2.18	2.18	NUM
ejpam-6481	312	48	2.02	2.02	NUM
ejpam-6481	312	49	2.04	2.04	NUM
ejpam-6481	312	50	2.06	2.06	NUM
ejpam-6481	312	51	2.08	2.08	NUM
ejpam-6481	312	52	2.1	2.1	NUM
ejpam-6481	312	53	2.12	2.12	NUM
ejpam-6481	312	54	2.14	2.14	NUM
ejpam-6481	312	55	2.16	2.16	NUM
ejpam-6481	312	56	2.18	2.18	NUM
ejpam-6481	312	57	r	r	NOUN
ejpam-6481	312	58	=	=	SYM
ejpam-6481	313	1	1.0	1.0	NUM
ejpam-6481	313	2	0	0	NUM
ejpam-6481	313	3	5	5	NUM
ejpam-6481	313	4	10	10	NUM
ejpam-6481	313	5	15	15	NUM
ejpam-6481	313	6	-2	-2	NOUN
ejpam-6481	313	7	-1	-1	NOUN
ejpam-6481	313	8	0	0	NUM
ejpam-6481	314	1	1	1	NUM
ejpam-6481	314	2	2	2	NUM
ejpam-6481	314	3	3	3	NUM
ejpam-6481	314	4	4	4	NUM
ejpam-6481	314	5	10	10	NUM
ejpam-6481	314	6	-	-	SYM
ejpam-6481	314	7	3	3	NUM
ejpam-6481	314	8	mse	mse	NOUN
ejpam-6481	314	9	=	=	SYM
ejpam-6481	314	10	1.9669e-06	1.9669e-06	NUM
ejpam-6481	314	11	,	,	PUNCT
ejpam-6481	314	12	rmse	rmse	NOUN
ejpam-6481	315	1	=	=	SYM
ejpam-6481	315	2	0.0014025	0.0014025	NUM
ejpam-6481	315	3	error	error	NOUN
ejpam-6481	315	4	=	=	SYM
ejpam-6481	315	5	0.00036993	0.00036993	NUM
ejpam-6481	315	6	,	,	PUNCT
ejpam-6481	315	7	=	=	SYM
ejpam-6481	315	8	0.0014003	0.0014003	NUM
ejpam-6481	315	9	-4	-4	NUM
ejpam-6481	315	10	-3	-3	INTJ
ejpam-6481	315	11	-2	-2	INTJ
ejpam-6481	315	12	-1	-1	SYM
ejpam-6481	315	13	0	0	NUM
ejpam-6481	315	14	1	1	NUM
ejpam-6481	315	15	2	2	NUM
ejpam-6481	315	16	3	3	NUM
ejpam-6481	315	17	4	4	NUM
ejpam-6481	315	18	5	5	NUM
ejpam-6481	315	19	10	10	NUM
ejpam-6481	315	20	-	-	SYM
ejpam-6481	315	21	3	3	NUM
ejpam-6481	315	22	0	0	NUM
ejpam-6481	315	23	0.5	0.5	NUM
ejpam-6481	315	24	1	1	NUM
ejpam-6481	315	25	1.5	1.5	NUM
ejpam-6481	315	26	2	2	NUM
ejpam-6481	315	27	2.5	2.5	NUM
ejpam-6481	315	28	3	3	NUM
ejpam-6481	315	29	(	(	PUNCT
ejpam-6481	315	30	c	c	NOUN
ejpam-6481	315	31	)	)	PUNCT
ejpam-6481	315	32	0	0	NUM
ejpam-6481	315	33	5	5	NUM
ejpam-6481	315	34	10	10	NUM
ejpam-6481	315	35	15	15	NUM
ejpam-6481	315	36	2.06	2.06	NUM
ejpam-6481	315	37	2.08	2.08	NUM
ejpam-6481	315	38	2.1	2.1	NUM
ejpam-6481	315	39	2.12	2.12	NUM
ejpam-6481	315	40	2.14	2.14	NUM
ejpam-6481	315	41	2.16	2.16	NUM
ejpam-6481	315	42	2.18	2.18	NUM
ejpam-6481	315	43	test	test	NOUN
ejpam-6481	315	44	data	datum	NOUN
ejpam-6481	315	45	(	(	PUNCT
ejpam-6481	315	46	i	i	NOUN
ejpam-6481	315	47	)	)	PUNCT
ejpam-6481	315	48	outputs	output	VERB
ejpam-6481	315	49	targets	target	VERB
ejpam-6481	315	50	2.06	2.06	NUM
ejpam-6481	315	51	2.08	2.08	NUM
ejpam-6481	315	52	2.1	2.1	NUM
ejpam-6481	315	53	2.12	2.12	NUM
ejpam-6481	315	54	2.14	2.14	NUM
ejpam-6481	315	55	2.16	2.16	NUM
ejpam-6481	315	56	2.18	2.18	NUM
ejpam-6481	315	57	2.06	2.06	NUM
ejpam-6481	315	58	2.08	2.08	NUM
ejpam-6481	315	59	2.1	2.1	NUM
ejpam-6481	315	60	2.12	2.12	NUM
ejpam-6481	315	61	2.14	2.14	NUM
ejpam-6481	315	62	2.16	2.16	NUM
ejpam-6481	315	63	2.18	2.18	NUM
ejpam-6481	315	64	r	r	NOUN
ejpam-6481	315	65	=	=	SYM
ejpam-6481	315	66	1.0	1.0	NUM
ejpam-6481	315	67	0	0	NUM
ejpam-6481	315	68	5	5	NUM
ejpam-6481	315	69	10	10	NUM
ejpam-6481	315	70	15	15	NUM
ejpam-6481	315	71	-1	-1	SYM
ejpam-6481	315	72	-0.5	-0.5	X
ejpam-6481	315	73	0	0	NUM
ejpam-6481	315	74	0.5	0.5	NUM
ejpam-6481	315	75	1	1	NUM
ejpam-6481	315	76	1.5	1.5	NUM
ejpam-6481	315	77	2	2	NUM
ejpam-6481	315	78	10	10	NUM
ejpam-6481	315	79	-	-	SYM
ejpam-6481	315	80	3	3	NUM
ejpam-6481	315	81	mse	mse	NOUN
ejpam-6481	315	82	=	=	SYM
ejpam-6481	315	83	9.0856e-07	9.0856e-07	NUM
ejpam-6481	315	84	,	,	PUNCT
ejpam-6481	315	85	rmse	rmse	NOUN
ejpam-6481	315	86	=	=	NOUN
ejpam-6481	315	87	0.00095318	0.00095318	NUM
ejpam-6481	315	88	error	error	NOUN
ejpam-6481	315	89	=	=	SYM
ejpam-6481	315	90	0.000583	0.000583	NUM
ejpam-6481	315	91	,	,	PUNCT
ejpam-6481	315	92	=	=	PUNCT
ejpam-6481	315	93	0.00078057	0.00078057	NUM
ejpam-6481	315	94	-2	-2	NOUN
ejpam-6481	315	95	-1.5	-1.5	NUM
ejpam-6481	315	96	-1	-1	PROPN
ejpam-6481	316	1	-0.5	-0.5	X
ejpam-6481	316	2	0	0	NUM
ejpam-6481	316	3	0.5	0.5	NUM
ejpam-6481	316	4	1	1	NUM
ejpam-6481	316	5	1.5	1.5	NUM
ejpam-6481	316	6	2	2	NUM
ejpam-6481	316	7	2.5	2.5	NUM
ejpam-6481	316	8	3	3	NUM
ejpam-6481	316	9	10	10	NUM
ejpam-6481	316	10	-	-	SYM
ejpam-6481	316	11	3	3	NUM
ejpam-6481	316	12	0	0	NUM
ejpam-6481	316	13	0.5	0.5	NUM
ejpam-6481	316	14	1	1	NUM
ejpam-6481	316	15	1.5	1.5	NUM
ejpam-6481	316	16	2	2	NUM
ejpam-6481	316	17	(	(	PUNCT
ejpam-6481	316	18	d	d	NOUN
ejpam-6481	316	19	)	)	PUNCT
ejpam-6481	316	20	0	0	NUM
ejpam-6481	316	21	5	5	NUM
ejpam-6481	316	22	10	10	NUM
ejpam-6481	316	23	15	15	NUM
ejpam-6481	316	24	20	20	NUM
ejpam-6481	316	25	25	25	NUM
ejpam-6481	316	26	30	30	NUM
ejpam-6481	316	27	35	35	NUM
ejpam-6481	316	28	40	40	NUM
ejpam-6481	316	29	45	45	NUM
ejpam-6481	316	30	50	50	NUM
ejpam-6481	316	31	t	t	NOUN
ejpam-6481	316	32	10	10	NUM
ejpam-6481	316	33	-	-	SYM
ejpam-6481	316	34	9	9	NUM
ejpam-6481	316	35	10	10	NUM
ejpam-6481	316	36	-	-	SYM
ejpam-6481	316	37	8	8	NUM
ejpam-6481	316	38	10	10	NUM
ejpam-6481	316	39	-	-	SYM
ejpam-6481	316	40	7	7	NUM
ejpam-6481	316	41	10	10	NUM
ejpam-6481	316	42	-	-	SYM
ejpam-6481	316	43	6	6	NUM
ejpam-6481	316	44	10	10	NUM
ejpam-6481	316	45	-	-	SYM
ejpam-6481	316	46	5	5	NUM
ejpam-6481	316	47	10	10	NUM
ejpam-6481	316	48	-	-	SYM
ejpam-6481	316	49	4	4	NUM
ejpam-6481	316	50	10	10	NUM
ejpam-6481	316	51	-	-	SYM
ejpam-6481	316	52	3	3	NUM
ejpam-6481	316	53	10	10	NUM
ejpam-6481	316	54	-	-	SYM
ejpam-6481	316	55	2	2	NUM
ejpam-6481	316	56	a	a	DET
ejpam-6481	316	57	b	b	NOUN
ejpam-6481	316	58	so	so	ADV
ejpam-6481	316	59	lu	lu	PROPN
ejpam-6481	316	60	te	te	PROPN
ejpam-6481	317	1	e	e	PROPN
ejpam-6481	317	2	rr	rr	NOUN
ejpam-6481	317	3	o	o	NOUN
ejpam-6481	317	4	rs	rs	INTJ
ejpam-6481	318	1	i	i	PROPN
ejpam-6481	318	2	(	(	PUNCT
ejpam-6481	318	3	t	t	PROPN
ejpam-6481	318	4	)	)	PUNCT
ejpam-6481	318	5	0.75	0.75	NUM
ejpam-6481	318	6	0.85	0.85	NUM
ejpam-6481	318	7	0.95	0.95	NUM
ejpam-6481	318	8	1.00	1.00	NUM
ejpam-6481	318	9	(	(	PUNCT
ejpam-6481	318	10	e	e	NOUN
ejpam-6481	318	11	)	)	PUNCT
ejpam-6481	318	12	0	0	NUM
ejpam-6481	318	13	5	5	NUM
ejpam-6481	318	14	10	10	NUM
ejpam-6481	318	15	15	15	NUM
ejpam-6481	318	16	20	20	NUM
ejpam-6481	318	17	25	25	NUM
ejpam-6481	318	18	30	30	NUM
ejpam-6481	318	19	35	35	NUM
ejpam-6481	318	20	40	40	NUM
ejpam-6481	318	21	45	45	NUM
ejpam-6481	318	22	50	50	NUM
ejpam-6481	318	23	2	2	NUM
ejpam-6481	318	24	2.02	2.02	NUM
ejpam-6481	318	25	2.04	2.04	NUM
ejpam-6481	318	26	2.06	2.06	NUM
ejpam-6481	318	27	2.08	2.08	NUM
ejpam-6481	318	28	2.1	2.1	NUM
ejpam-6481	318	29	2.12	2.12	NUM
ejpam-6481	318	30	2.14	2.14	NUM
ejpam-6481	318	31	2.16	2.16	NUM
ejpam-6481	318	32	2.18	2.18	NUM
ejpam-6481	318	33	o	o	NOUN
ejpam-6481	318	34	u	u	NOUN
ejpam-6481	318	35	tp	tp	ADP
ejpam-6481	318	36	u	u	PROPN
ejpam-6481	318	37	t	t	PROPN
ejpam-6481	318	38	an	an	DET
ejpam-6481	318	39	d	d	PROPN
ejpam-6481	318	40	t	t	PROPN
ejpam-6481	318	41	ar	ar	PROPN
ejpam-6481	318	42	g	g	PROPN
ejpam-6481	318	43	et	et	PROPN
ejpam-6481	318	44	function	function	VERB
ejpam-6481	318	45	fit	fit	ADJ
ejpam-6481	318	46	for	for	ADP
ejpam-6481	318	47	output	output	NOUN
ejpam-6481	318	48	element	element	NOUN
ejpam-6481	318	49	i	i	PRON
ejpam-6481	318	50	training	train	VERB
ejpam-6481	318	51	targets	target	NOUN
ejpam-6481	318	52	training	train	VERB
ejpam-6481	318	53	outputs	outputs	ADP
ejpam-6481	318	54	validation	validation	NOUN
ejpam-6481	318	55	targets	target	NOUN
ejpam-6481	318	56	validation	validation	NOUN
ejpam-6481	318	57	outputs	output	NOUN
ejpam-6481	318	58	test	test	NOUN
ejpam-6481	318	59	targets	target	NOUN
ejpam-6481	318	60	test	test	NOUN
ejpam-6481	318	61	outputs	output	NOUN
ejpam-6481	318	62	errors	error	NOUN
ejpam-6481	318	63	fit	fit	VERB
ejpam-6481	318	64	input	input	NOUN
ejpam-6481	319	1	-2	-2	INTJ
ejpam-6481	319	2	0	0	NUM
ejpam-6481	319	3	2	2	NUM
ejpam-6481	319	4	4	4	NUM
ejpam-6481	319	5	e	e	NOUN
ejpam-6481	319	6	rr	rr	NOUN
ejpam-6481	319	7	o	o	NOUN
ejpam-6481	319	8	r	r	NOUN
ejpam-6481	319	9	10	10	NUM
ejpam-6481	319	10	-	-	SYM
ejpam-6481	319	11	3	3	NUM
ejpam-6481	319	12	targets	target	NOUN
ejpam-6481	319	13	outputs	output	NOUN
ejpam-6481	319	14	(	(	PUNCT
ejpam-6481	319	15	f	f	X
ejpam-6481	319	16	)	)	PUNCT
ejpam-6481	319	17	figure	figure	NOUN
ejpam-6481	319	18	7	7	NUM
ejpam-6481	319	19	:	:	PUNCT
ejpam-6481	319	20	graphical	graphical	ADJ
ejpam-6481	319	21	presentation	presentation	NOUN
ejpam-6481	319	22	of	of	ADP
ejpam-6481	319	23	various	various	ADJ
ejpam-6481	319	24	data	datum	NOUN
ejpam-6481	319	25	results	result	NOUN
ejpam-6481	319	26	for	for	ADP
ejpam-6481	319	27	class	class	NOUN
ejpam-6481	319	28	h	h	NOUN
ejpam-6481	319	29	using	use	VERB
ejpam-6481	319	30	nns	nn	NOUN
ejpam-6481	319	31	(	(	PUNCT
ejpam-6481	319	32	a	a	X
ejpam-6481	319	33	)	)	PUNCT
ejpam-6481	319	34	all	all	DET
ejpam-6481	319	35	data	datum	NOUN
ejpam-6481	319	36	,	,	PUNCT
ejpam-6481	319	37	(	(	PUNCT
ejpam-6481	319	38	b	b	X
ejpam-6481	319	39	)	)	PUNCT
ejpam-6481	319	40	train	train	NOUN
ejpam-6481	319	41	data	datum	NOUN
ejpam-6481	319	42	,	,	PUNCT
ejpam-6481	319	43	(	(	PUNCT
ejpam-6481	319	44	c	c	NOUN
ejpam-6481	319	45	)	)	PUNCT
ejpam-6481	319	46	test	test	NOUN
ejpam-6481	319	47	data	datum	NOUN
ejpam-6481	319	48	(	(	PUNCT
ejpam-6481	319	49	d	d	NOUN
ejpam-6481	319	50	)	)	PUNCT
ejpam-6481	319	51	validation	validation	NOUN
ejpam-6481	319	52	(	(	PUNCT
ejpam-6481	319	53	e	e	NOUN
ejpam-6481	319	54	)	)	PUNCT
ejpam-6481	319	55	absolute	absolute	ADJ
ejpam-6481	319	56	error	error	NOUN
ejpam-6481	319	57	using	use	VERB
ejpam-6481	319	58	nns	nn	NOUN
ejpam-6481	319	59	and	and	CCONJ
ejpam-6481	319	60	(	(	PUNCT
ejpam-6481	319	61	f	f	X
ejpam-6481	319	62	)	)	PUNCT
ejpam-6481	319	63	function	function	VERB
ejpam-6481	319	64	fit	fit	ADJ
ejpam-6481	319	65	performance	performance	NOUN
ejpam-6481	319	66	.	.	PUNCT
ejpam-6481	320	1	unite	unite	VERB
ejpam-6481	320	2	initial	initial	ADJ
ejpam-6481	320	3	value	value	NOUN
ejpam-6481	320	4	stopped	stop	VERB
ejpam-6481	320	5	value	value	NOUN
ejpam-6481	320	6	target	target	NOUN
ejpam-6481	320	7	value	value	NOUN
ejpam-6481	320	8	epoch	epoch	NOUN
ejpam-6481	320	9	0	0	NUM
ejpam-6481	320	10	17	17	NUM
ejpam-6481	320	11	1000	1000	NUM
ejpam-6481	320	12	elapsed	elapse	VERB
ejpam-6481	320	13	time	time	NOUN
ejpam-6481	320	14	00:00:00	00:00:00	NUM
ejpam-6481	320	15	performance	performance	NOUN
ejpam-6481	320	16	33.7	33.7	NUM
ejpam-6481	320	17	2.96e−	2.96e−	NUM
ejpam-6481	320	18	09	09	NUM
ejpam-6481	320	19	0	0	NUM
ejpam-6481	320	20	gradient	gradient	NOUN
ejpam-6481	320	21	56	56	NUM
ejpam-6481	320	22	9.73e−	9.73e−	NUM
ejpam-6481	320	23	08	08	NUM
ejpam-6481	321	1	1e−	1e−	NUM
ejpam-6481	321	2	07	07	NUM
ejpam-6481	321	3	standard	standard	ADJ
ejpam-6481	321	4	deviation	deviation	NOUN
ejpam-6481	321	5	0.001	0.001	NUM
ejpam-6481	321	6	1e−	1e−	NUM
ejpam-6481	321	7	09	09	NUM
ejpam-6481	321	8	1e+	1e+	NUM
ejpam-6481	321	9	10	10	NUM
ejpam-6481	321	10	validation	validation	NOUN
ejpam-6481	321	11	checks	check	NOUN
ejpam-6481	321	12	0	0	NUM
ejpam-6481	321	13	0	0	NUM
ejpam-6481	321	14	6	6	NUM
ejpam-6481	321	15	table	table	NOUN
ejpam-6481	321	16	2	2	NUM
ejpam-6481	321	17	:	:	PUNCT
ejpam-6481	321	18	training	train	VERB
ejpam-6481	321	19	progress	progress	NOUN
ejpam-6481	321	20	presentation	presentation	NOUN
ejpam-6481	321	21	for	for	ADP
ejpam-6481	321	22	class	class	NOUN
ejpam-6481	321	23	i.	i.	PROPN
ejpam-6481	321	24	s.	s.	PROPN
ejpam-6481	321	25	a.shah	a.shah	PROPN
ejpam-6481	321	26	et	et	PROPN
ejpam-6481	321	27	al	al	PROPN
ejpam-6481	321	28	.	.	PUNCT
ejpam-6481	321	29	/	/	SYM
ejpam-6481	321	30	eur	eur	PROPN
ejpam-6481	321	31	.	.	PUNCT
ejpam-6481	322	1	j.	j.	PROPN
ejpam-6481	322	2	pure	pure	PROPN
ejpam-6481	322	3	appl	appl	PROPN
ejpam-6481	322	4	.	.	PROPN
ejpam-6481	322	5	math	math	PROPN
ejpam-6481	322	6	,	,	PUNCT
ejpam-6481	322	7	18	18	NUM
ejpam-6481	322	8	(	(	PUNCT
ejpam-6481	322	9	3	3	NUM
ejpam-6481	322	10	)	)	PUNCT
ejpam-6481	322	11	(	(	PUNCT
ejpam-6481	322	12	2025	2025	NUM
ejpam-6481	322	13	)	)	PUNCT
ejpam-6481	322	14	,	,	PUNCT
ejpam-6481	322	15	6481	6481	NUM
ejpam-6481	322	16	16	16	NUM
ejpam-6481	322	17	of	of	ADP
ejpam-6481	322	18	19	19	NUM
ejpam-6481	322	19	in	in	ADP
ejpam-6481	322	20	figure	figure	NOUN
ejpam-6481	322	21	8	8	NUM
ejpam-6481	322	22	sub	sub	NOUN
ejpam-6481	322	23	plots	plot	NOUN
ejpam-6481	322	24	(	(	PUNCT
ejpam-6481	322	25	a)−	a)−	PROPN
ejpam-6481	322	26	(	(	PUNCT
ejpam-6481	322	27	d	d	NOUN
ejpam-6481	322	28	)	)	PUNCT
ejpam-6481	323	1	,	,	PUNCT
ejpam-6481	323	2	we	we	PRON
ejpam-6481	323	3	have	have	AUX
ejpam-6481	323	4	presented	present	VERB
ejpam-6481	323	5	all	all	DET
ejpam-6481	323	6	data	datum	NOUN
ejpam-6481	323	7	,	,	PUNCT
ejpam-6481	323	8	test	test	NOUN
ejpam-6481	323	9	data	datum	NOUN
ejpam-6481	323	10	,	,	PUNCT
ejpam-6481	323	11	validation	validation	NOUN
ejpam-6481	323	12	of	of	ADP
ejpam-6481	323	13	data	datum	NOUN
ejpam-6481	323	14	and	and	CCONJ
ejpam-6481	323	15	train	train	NOUN
ejpam-6481	323	16	data	datum	NOUN
ejpam-6481	323	17	for	for	ADP
ejpam-6481	323	18	the	the	DET
ejpam-6481	323	19	density	density	NOUN
ejpam-6481	323	20	of	of	ADP
ejpam-6481	323	21	virus	virus	NOUN
ejpam-6481	323	22	free	free	ADJ
ejpam-6481	323	23	cells	cell	NOUN
ejpam-6481	323	24	using	use	VERB
ejpam-6481	323	25	adopted	adopt	VERB
ejpam-6481	323	26	nns	nn	NOUN
ejpam-6481	323	27	.	.	PUNCT
ejpam-6481	324	1	further	far	ADV
ejpam-6481	324	2	,	,	PUNCT
ejpam-6481	324	3	in	in	ADP
ejpam-6481	324	4	sub	sub	NOUN
ejpam-6481	324	5	plot	plot	NOUN
ejpam-6481	324	6	(	(	PUNCT
ejpam-6481	324	7	e	e	NOUN
ejpam-6481	324	8	)	)	PUNCT
ejpam-6481	324	9	of	of	ADP
ejpam-6481	324	10	figure	figure	NOUN
ejpam-6481	324	11	8	8	NUM
ejpam-6481	324	12	,	,	PUNCT
ejpam-6481	324	13	we	we	PRON
ejpam-6481	324	14	have	have	AUX
ejpam-6481	324	15	presented	present	VERB
ejpam-6481	324	16	the	the	DET
ejpam-6481	324	17	absolute	absolute	ADJ
ejpam-6481	324	18	error	error	NOUN
ejpam-6481	324	19	plots	plot	NOUN
ejpam-6481	324	20	between	between	ADP
ejpam-6481	324	21	the	the	DET
ejpam-6481	324	22	numerical	numerical	ADJ
ejpam-6481	324	23	and	and	CCONJ
ejpam-6481	324	24	and	and	CCONJ
ejpam-6481	324	25	nns	nns	PROPN
ejpam-6481	324	26	data	datum	NOUN
ejpam-6481	324	27	analysis	analysis	NOUN
ejpam-6481	324	28	,	,	PUNCT
ejpam-6481	324	29	we	we	PRON
ejpam-6481	324	30	see	see	VERB
ejpam-6481	324	31	that	that	PRON
ejpam-6481	324	32	error	error	NOUN
ejpam-6481	324	33	is	be	AUX
ejpam-6481	324	34	very	very	ADV
ejpam-6481	324	35	low	low	ADJ
ejpam-6481	324	36	which	which	PRON
ejpam-6481	324	37	shows	show	VERB
ejpam-6481	324	38	the	the	DET
ejpam-6481	324	39	best	good	ADJ
ejpam-6481	324	40	performance	performance	NOUN
ejpam-6481	324	41	of	of	ADP
ejpam-6481	324	42	our	our	PRON
ejpam-6481	324	43	methodology	methodology	NOUN
ejpam-6481	324	44	.	.	PUNCT
ejpam-6481	325	1	also	also	ADV
ejpam-6481	325	2	,	,	PUNCT
ejpam-6481	325	3	the	the	DET
ejpam-6481	325	4	function	function	NOUN
ejpam-6481	325	5	fit	fit	NOUN
ejpam-6481	325	6	for	for	ADP
ejpam-6481	325	7	virus	virus	NOUN
ejpam-6481	325	8	free	free	ADJ
ejpam-6481	325	9	cells	cell	NOUN
ejpam-6481	325	10	density	density	NOUN
ejpam-6481	325	11	corresponding	correspond	VERB
ejpam-6481	325	12	to	to	ADP
ejpam-6481	325	13	various	various	ADJ
ejpam-6481	325	14	data	datum	NOUN
ejpam-6481	325	15	has	have	AUX
ejpam-6481	325	16	given	give	VERB
ejpam-6481	325	17	in	in	ADP
ejpam-6481	325	18	subplot	subplot	NOUN
ejpam-6481	325	19	(	(	PUNCT
ejpam-6481	325	20	f	f	X
ejpam-6481	325	21	)	)	PUNCT
ejpam-6481	325	22	of	of	ADP
ejpam-6481	325	23	figure	figure	NOUN
ejpam-6481	325	24	8	8	NUM
ejpam-6481	325	25	.	.	NOUN
ejpam-6481	325	26	0	0	NUM
ejpam-6481	326	1	20	20	NUM
ejpam-6481	326	2	40	40	NUM
ejpam-6481	326	3	60	60	NUM
ejpam-6481	326	4	80	80	NUM
ejpam-6481	326	5	100	100	NUM
ejpam-6481	326	6	120	120	NUM
ejpam-6481	326	7	5	5	NUM
ejpam-6481	326	8	5.05	5.05	NUM
ejpam-6481	326	9	5.1	5.1	NUM
ejpam-6481	326	10	5.15	5.15	NUM
ejpam-6481	326	11	5.2	5.2	NUM
ejpam-6481	326	12	5.25	5.25	NUM
ejpam-6481	326	13	5.3	5.3	NUM
ejpam-6481	326	14	5.35	5.35	NUM
ejpam-6481	326	15	5.4	5.4	NUM
ejpam-6481	326	16	all	all	DET
ejpam-6481	326	17	data	datum	NOUN
ejpam-6481	326	18	(	(	PUNCT
ejpam-6481	326	19	v	v	NOUN
ejpam-6481	326	20	)	)	PUNCT
ejpam-6481	326	21	outputs	output	NOUN
ejpam-6481	326	22	targets	target	NOUN
ejpam-6481	326	23	5	5	NUM
ejpam-6481	326	24	5.05	5.05	NUM
ejpam-6481	326	25	5.1	5.1	NUM
ejpam-6481	326	26	5.15	5.15	NUM
ejpam-6481	326	27	5.2	5.2	NUM
ejpam-6481	326	28	5.25	5.25	NUM
ejpam-6481	326	29	5.3	5.3	NUM
ejpam-6481	326	30	5.35	5.35	NUM
ejpam-6481	326	31	5.4	5.4	NUM
ejpam-6481	326	32	5	5	NUM
ejpam-6481	326	33	5.05	5.05	NUM
ejpam-6481	326	34	5.1	5.1	NUM
ejpam-6481	326	35	5.15	5.15	NUM
ejpam-6481	326	36	5.2	5.2	NUM
ejpam-6481	326	37	5.25	5.25	NUM
ejpam-6481	326	38	5.3	5.3	NUM
ejpam-6481	326	39	5.35	5.35	NUM
ejpam-6481	326	40	5.4	5.4	NUM
ejpam-6481	326	41	r	r	NOUN
ejpam-6481	326	42	=	=	SYM
ejpam-6481	326	43	1.0	1.0	NUM
ejpam-6481	326	44	0	0	NUM
ejpam-6481	326	45	20	20	NUM
ejpam-6481	326	46	40	40	NUM
ejpam-6481	326	47	60	60	NUM
ejpam-6481	326	48	80	80	NUM
ejpam-6481	326	49	100	100	NUM
ejpam-6481	326	50	120	120	NUM
ejpam-6481	326	51	-2	-2	NOUN
ejpam-6481	326	52	-1	-1	SYM
ejpam-6481	326	53	0	0	NUM
ejpam-6481	326	54	1	1	NUM
ejpam-6481	326	55	2	2	NUM
ejpam-6481	326	56	3	3	NUM
ejpam-6481	326	57	4	4	NUM
ejpam-6481	326	58	10	10	NUM
ejpam-6481	326	59	-	-	SYM
ejpam-6481	326	60	3	3	NUM
ejpam-6481	326	61	mse	mse	NOUN
ejpam-6481	326	62	=	=	SYM
ejpam-6481	326	63	6.1351e-07	6.1351e-07	NUM
ejpam-6481	326	64	,	,	PUNCT
ejpam-6481	326	65	rmse	rmse	ADJ
ejpam-6481	326	66	=	=	SYM
ejpam-6481	326	67	0.00078327	0.00078327	NUM
ejpam-6481	326	68	error	error	NOUN
ejpam-6481	326	69	=	=	SYM
ejpam-6481	326	70	0.00013831	0.00013831	NUM
ejpam-6481	326	71	,	,	PUNCT
ejpam-6481	326	72	=	=	SYM
ejpam-6481	326	73	0.0007748	0.0007748	NUM
ejpam-6481	326	74	-3	-3	PUNCT
ejpam-6481	326	75	-2	-2	INTJ
ejpam-6481	327	1	-1	-1	SYM
ejpam-6481	327	2	0	0	NUM
ejpam-6481	328	1	1	1	NUM
ejpam-6481	328	2	2	2	NUM
ejpam-6481	328	3	3	3	NUM
ejpam-6481	328	4	10	10	NUM
ejpam-6481	328	5	-	-	SYM
ejpam-6481	328	6	3	3	NUM
ejpam-6481	328	7	0	0	NUM
ejpam-6481	328	8	10	10	NUM
ejpam-6481	328	9	20	20	NUM
ejpam-6481	328	10	30	30	NUM
ejpam-6481	328	11	40	40	NUM
ejpam-6481	328	12	50	50	NUM
ejpam-6481	328	13	60	60	NUM
ejpam-6481	328	14	70	70	NUM
ejpam-6481	328	15	80	80	NUM
ejpam-6481	328	16	(	(	PUNCT
ejpam-6481	328	17	a	a	NOUN
ejpam-6481	328	18	)	)	PUNCT
ejpam-6481	328	19	0	0	NUM
ejpam-6481	328	20	10	10	NUM
ejpam-6481	328	21	20	20	NUM
ejpam-6481	328	22	30	30	NUM
ejpam-6481	328	23	40	40	NUM
ejpam-6481	328	24	50	50	NUM
ejpam-6481	328	25	60	60	NUM
ejpam-6481	328	26	70	70	NUM
ejpam-6481	328	27	80	80	NUM
ejpam-6481	328	28	5	5	NUM
ejpam-6481	328	29	5.05	5.05	NUM
ejpam-6481	328	30	5.1	5.1	NUM
ejpam-6481	328	31	5.15	5.15	NUM
ejpam-6481	328	32	5.2	5.2	NUM
ejpam-6481	328	33	5.25	5.25	NUM
ejpam-6481	328	34	5.3	5.3	NUM
ejpam-6481	328	35	5.35	5.35	NUM
ejpam-6481	328	36	5.4	5.4	NUM
ejpam-6481	328	37	train	train	NOUN
ejpam-6481	328	38	data	datum	NOUN
ejpam-6481	328	39	(	(	PUNCT
ejpam-6481	328	40	v	v	NOUN
ejpam-6481	328	41	)	)	PUNCT
ejpam-6481	328	42	outputs	output	NOUN
ejpam-6481	328	43	targets	target	NOUN
ejpam-6481	328	44	5	5	NUM
ejpam-6481	328	45	5.05	5.05	NUM
ejpam-6481	328	46	5.1	5.1	NUM
ejpam-6481	328	47	5.15	5.15	NUM
ejpam-6481	328	48	5.2	5.2	NUM
ejpam-6481	328	49	5.25	5.25	NUM
ejpam-6481	328	50	5.3	5.3	NUM
ejpam-6481	328	51	5.35	5.35	NUM
ejpam-6481	328	52	5.4	5.4	NUM
ejpam-6481	328	53	5	5	NUM
ejpam-6481	328	54	5.05	5.05	NUM
ejpam-6481	328	55	5.1	5.1	NUM
ejpam-6481	328	56	5.15	5.15	NUM
ejpam-6481	328	57	5.2	5.2	NUM
ejpam-6481	328	58	5.25	5.25	NUM
ejpam-6481	328	59	5.3	5.3	NUM
ejpam-6481	328	60	5.35	5.35	NUM
ejpam-6481	328	61	5.4	5.4	NUM
ejpam-6481	328	62	r	r	NOUN
ejpam-6481	328	63	=	=	SYM
ejpam-6481	329	1	1	1	NUM
ejpam-6481	329	2	0	0	NUM
ejpam-6481	329	3	10	10	NUM
ejpam-6481	329	4	20	20	NUM
ejpam-6481	329	5	30	30	NUM
ejpam-6481	329	6	40	40	NUM
ejpam-6481	329	7	50	50	NUM
ejpam-6481	329	8	60	60	NUM
ejpam-6481	329	9	70	70	NUM
ejpam-6481	329	10	80	80	NUM
ejpam-6481	329	11	-1	-1	SYM
ejpam-6481	329	12	-0.5	-0.5	X
ejpam-6481	329	13	0	0	NUM
ejpam-6481	329	14	0.5	0.5	NUM
ejpam-6481	329	15	1	1	NUM
ejpam-6481	329	16	1.5	1.5	NUM
ejpam-6481	329	17	10	10	NUM
ejpam-6481	329	18	-	-	SYM
ejpam-6481	329	19	6	6	NUM
ejpam-6481	329	20	mse	mse	NOUN
ejpam-6481	329	21	=	=	SYM
ejpam-6481	329	22	2.6124e-13	2.6124e-13	NUM
ejpam-6481	329	23	,	,	PUNCT
ejpam-6481	329	24	rmse	rmse	NOUN
ejpam-6481	329	25	=	=	SYM
ejpam-6481	329	26	5.1112e-07	5.1112e-07	NUM
ejpam-6481	329	27	error	error	NOUN
ejpam-6481	329	28	=	=	SYM
ejpam-6481	329	29	1.4706e-08	1.4706e-08	NUM
ejpam-6481	329	30	,	,	PUNCT
ejpam-6481	329	31	=	=	PUNCT
ejpam-6481	330	1	5.1455e-07	5.1455e-07	NUM
ejpam-6481	330	2	-2	-2	NOUN
ejpam-6481	330	3	-1.5	-1.5	NUM
ejpam-6481	330	4	-1	-1	PROPN
ejpam-6481	331	1	-0.5	-0.5	X
ejpam-6481	331	2	0	0	NUM
ejpam-6481	331	3	0.5	0.5	NUM
ejpam-6481	331	4	1	1	NUM
ejpam-6481	331	5	1.5	1.5	NUM
ejpam-6481	331	6	2	2	NUM
ejpam-6481	331	7	10	10	NUM
ejpam-6481	331	8	-	-	SYM
ejpam-6481	331	9	6	6	NUM
ejpam-6481	331	10	0	0	NUM
ejpam-6481	331	11	0.5	0.5	NUM
ejpam-6481	331	12	1	1	NUM
ejpam-6481	331	13	1.5	1.5	NUM
ejpam-6481	331	14	2	2	NUM
ejpam-6481	331	15	2.5	2.5	NUM
ejpam-6481	331	16	3	3	NUM
ejpam-6481	331	17	3.5	3.5	NUM
ejpam-6481	331	18	4	4	NUM
ejpam-6481	331	19	(	(	PUNCT
ejpam-6481	331	20	b	b	NOUN
ejpam-6481	331	21	)	)	PUNCT
ejpam-6481	331	22	0	0	NUM
ejpam-6481	331	23	5	5	NUM
ejpam-6481	331	24	10	10	NUM
ejpam-6481	331	25	15	15	NUM
ejpam-6481	331	26	5	5	NUM
ejpam-6481	331	27	5.05	5.05	NUM
ejpam-6481	331	28	5.1	5.1	NUM
ejpam-6481	331	29	5.15	5.15	NUM
ejpam-6481	331	30	5.2	5.2	NUM
ejpam-6481	331	31	5.25	5.25	NUM
ejpam-6481	331	32	5.3	5.3	NUM
ejpam-6481	331	33	5.35	5.35	NUM
ejpam-6481	331	34	validation	validation	NOUN
ejpam-6481	331	35	data	datum	NOUN
ejpam-6481	331	36	(	(	PUNCT
ejpam-6481	331	37	v	v	NOUN
ejpam-6481	331	38	)	)	PUNCT
ejpam-6481	331	39	outputs	output	NOUN
ejpam-6481	331	40	targets	target	NOUN
ejpam-6481	331	41	5	5	NUM
ejpam-6481	331	42	5.05	5.05	NUM
ejpam-6481	331	43	5.1	5.1	NUM
ejpam-6481	331	44	5.15	5.15	NUM
ejpam-6481	331	45	5.2	5.2	NUM
ejpam-6481	331	46	5.25	5.25	NUM
ejpam-6481	331	47	5.3	5.3	NUM
ejpam-6481	331	48	5.35	5.35	NUM
ejpam-6481	331	49	5	5	NUM
ejpam-6481	331	50	5.05	5.05	NUM
ejpam-6481	331	51	5.1	5.1	NUM
ejpam-6481	331	52	5.15	5.15	NUM
ejpam-6481	331	53	5.2	5.2	NUM
ejpam-6481	331	54	5.25	5.25	NUM
ejpam-6481	331	55	5.3	5.3	NUM
ejpam-6481	331	56	5.35	5.35	NUM
ejpam-6481	331	57	r	r	NOUN
ejpam-6481	331	58	=	=	NOUN
ejpam-6481	331	59	1.0	1.0	NUM
ejpam-6481	331	60	0	0	NUM
ejpam-6481	331	61	5	5	NUM
ejpam-6481	331	62	10	10	NUM
ejpam-6481	331	63	15	15	NUM
ejpam-6481	331	64	-2	-2	NOUN
ejpam-6481	331	65	-1	-1	NOUN
ejpam-6481	331	66	0	0	NUM
ejpam-6481	332	1	1	1	NUM
ejpam-6481	332	2	2	2	NUM
ejpam-6481	332	3	3	3	NUM
ejpam-6481	332	4	10	10	NUM
ejpam-6481	332	5	-	-	SYM
ejpam-6481	332	6	3	3	NUM
ejpam-6481	332	7	mse	mse	NOUN
ejpam-6481	332	8	=	=	SYM
ejpam-6481	332	9	1.9495e-06	1.9495e-06	NUM
ejpam-6481	332	10	,	,	PUNCT
ejpam-6481	332	11	rmse	rmse	NOUN
ejpam-6481	332	12	=	=	NOUN
ejpam-6481	332	13	0.0013963	0.0013963	NUM
ejpam-6481	332	14	error	error	NOUN
ejpam-6481	332	15	=	=	NOUN
ejpam-6481	332	16	0.00040112	0.00040112	NUM
ejpam-6481	332	17	,	,	PUNCT
ejpam-6481	332	18	=	=	NOUN
ejpam-6481	332	19	0.0013843	0.0013843	NUM
ejpam-6481	332	20	-4	-4	INTJ
ejpam-6481	332	21	-3	-3	INTJ
ejpam-6481	332	22	-2	-2	INTJ
ejpam-6481	333	1	-1	-1	SYM
ejpam-6481	333	2	0	0	NUM
ejpam-6481	334	1	1	1	NUM
ejpam-6481	334	2	2	2	NUM
ejpam-6481	334	3	3	3	NUM
ejpam-6481	334	4	4	4	NUM
ejpam-6481	334	5	5	5	NUM
ejpam-6481	334	6	10	10	NUM
ejpam-6481	334	7	-	-	SYM
ejpam-6481	334	8	3	3	NUM
ejpam-6481	334	9	0	0	NUM
ejpam-6481	334	10	0.5	0.5	NUM
ejpam-6481	334	11	1	1	NUM
ejpam-6481	334	12	1.5	1.5	NUM
ejpam-6481	334	13	2	2	NUM
ejpam-6481	334	14	(	(	PUNCT
ejpam-6481	334	15	c	c	NOUN
ejpam-6481	334	16	)	)	PUNCT
ejpam-6481	334	17	0	0	NUM
ejpam-6481	334	18	5	5	NUM
ejpam-6481	334	19	10	10	NUM
ejpam-6481	334	20	15	15	NUM
ejpam-6481	334	21	5	5	NUM
ejpam-6481	334	22	5.1	5.1	NUM
ejpam-6481	334	23	5.2	5.2	NUM
ejpam-6481	334	24	5.3	5.3	NUM
ejpam-6481	334	25	5.4	5.4	NUM
ejpam-6481	334	26	test	test	NOUN
ejpam-6481	334	27	data	datum	NOUN
ejpam-6481	334	28	(	(	PUNCT
ejpam-6481	334	29	h	h	NOUN
ejpam-6481	334	30	)	)	PUNCT
ejpam-6481	334	31	outputs	output	NOUN
ejpam-6481	334	32	targets	target	NOUN
ejpam-6481	334	33	5	5	NUM
ejpam-6481	334	34	5.05	5.05	NUM
ejpam-6481	334	35	5.1	5.1	NUM
ejpam-6481	334	36	5.15	5.15	NUM
ejpam-6481	334	37	5.2	5.2	NUM
ejpam-6481	334	38	5.25	5.25	NUM
ejpam-6481	334	39	5.3	5.3	NUM
ejpam-6481	334	40	5.35	5.35	NUM
ejpam-6481	334	41	5.4	5.4	NUM
ejpam-6481	334	42	5	5	NUM
ejpam-6481	334	43	5.1	5.1	NUM
ejpam-6481	334	44	5.2	5.2	NUM
ejpam-6481	334	45	5.3	5.3	NUM
ejpam-6481	334	46	5.4	5.4	NUM
ejpam-6481	334	47	r	r	NOUN
ejpam-6481	334	48	=	=	NOUN
ejpam-6481	335	1	1.0	1.0	NUM
ejpam-6481	335	2	0	0	NUM
ejpam-6481	335	3	5	5	NUM
ejpam-6481	335	4	10	10	NUM
ejpam-6481	335	5	15	15	NUM
ejpam-6481	335	6	-2	-2	NOUN
ejpam-6481	335	7	-1	-1	NOUN
ejpam-6481	335	8	0	0	NUM
ejpam-6481	336	1	1	1	NUM
ejpam-6481	336	2	2	2	NUM
ejpam-6481	336	3	3	3	NUM
ejpam-6481	336	4	4	4	NUM
ejpam-6481	336	5	10	10	NUM
ejpam-6481	336	6	-	-	SYM
ejpam-6481	336	7	3	3	NUM
ejpam-6481	336	8	mse	mse	NOUN
ejpam-6481	336	9	=	=	SYM
ejpam-6481	336	10	2.1814e-06	2.1814e-06	NUM
ejpam-6481	336	11	,	,	PUNCT
ejpam-6481	336	12	rmse	rmse	NOUN
ejpam-6481	336	13	=	=	SYM
ejpam-6481	336	14	0.001477	0.001477	NUM
ejpam-6481	336	15	error	error	NOUN
ejpam-6481	336	16	=	=	NOUN
ejpam-6481	336	17	0.00053007	0.00053007	NUM
ejpam-6481	336	18	,	,	PUNCT
ejpam-6481	336	19	=	=	PUNCT
ejpam-6481	336	20	0.001427	0.001427	NUM
ejpam-6481	336	21	-4	-4	INTJ
ejpam-6481	336	22	-3	-3	INTJ
ejpam-6481	336	23	-2	-2	INTJ
ejpam-6481	336	24	-1	-1	SYM
ejpam-6481	336	25	0	0	NUM
ejpam-6481	337	1	1	1	NUM
ejpam-6481	337	2	2	2	NUM
ejpam-6481	337	3	3	3	NUM
ejpam-6481	337	4	4	4	NUM
ejpam-6481	337	5	5	5	NUM
ejpam-6481	337	6	10	10	NUM
ejpam-6481	337	7	-	-	SYM
ejpam-6481	337	8	3	3	NUM
ejpam-6481	337	9	0	0	NUM
ejpam-6481	337	10	0.5	0.5	NUM
ejpam-6481	337	11	1	1	NUM
ejpam-6481	337	12	1.5	1.5	NUM
ejpam-6481	337	13	2	2	NUM
ejpam-6481	337	14	(	(	PUNCT
ejpam-6481	337	15	d	d	NOUN
ejpam-6481	337	16	)	)	PUNCT
ejpam-6481	337	17	0	0	NUM
ejpam-6481	337	18	5	5	NUM
ejpam-6481	337	19	10	10	NUM
ejpam-6481	337	20	15	15	NUM
ejpam-6481	337	21	20	20	NUM
ejpam-6481	337	22	25	25	NUM
ejpam-6481	337	23	30	30	NUM
ejpam-6481	337	24	35	35	NUM
ejpam-6481	337	25	40	40	NUM
ejpam-6481	337	26	45	45	NUM
ejpam-6481	337	27	50	50	NUM
ejpam-6481	337	28	t	t	NOUN
ejpam-6481	337	29	10	10	NUM
ejpam-6481	337	30	-	-	SYM
ejpam-6481	337	31	9	9	NUM
ejpam-6481	337	32	10	10	NUM
ejpam-6481	337	33	-	-	SYM
ejpam-6481	337	34	8	8	NUM
ejpam-6481	337	35	10	10	NUM
ejpam-6481	337	36	-	-	SYM
ejpam-6481	337	37	7	7	NUM
ejpam-6481	337	38	10	10	NUM
ejpam-6481	337	39	-	-	SYM
ejpam-6481	337	40	6	6	NUM
ejpam-6481	337	41	10	10	NUM
ejpam-6481	337	42	-	-	SYM
ejpam-6481	337	43	5	5	NUM
ejpam-6481	337	44	10	10	NUM
ejpam-6481	337	45	-	-	SYM
ejpam-6481	337	46	4	4	NUM
ejpam-6481	337	47	10	10	NUM
ejpam-6481	337	48	-	-	SYM
ejpam-6481	337	49	3	3	NUM
ejpam-6481	337	50	10	10	NUM
ejpam-6481	337	51	-	-	SYM
ejpam-6481	337	52	2	2	NUM
ejpam-6481	337	53	a	a	DET
ejpam-6481	337	54	b	b	NOUN
ejpam-6481	338	1	so	so	ADV
ejpam-6481	338	2	lu	lu	PROPN
ejpam-6481	338	3	te	te	PROPN
ejpam-6481	338	4	e	e	PROPN
ejpam-6481	338	5	rr	rr	NOUN
ejpam-6481	338	6	o	o	NOUN
ejpam-6481	338	7	rs	rs	NOUN
ejpam-6481	338	8	v	v	PROPN
ejpam-6481	338	9	(	(	PUNCT
ejpam-6481	338	10	t	t	PROPN
ejpam-6481	338	11	)	)	PUNCT
ejpam-6481	338	12	0.75	0.75	NUM
ejpam-6481	338	13	0.85	0.85	NUM
ejpam-6481	338	14	0.95	0.95	NUM
ejpam-6481	338	15	1.00	1.00	NUM
ejpam-6481	338	16	(	(	PUNCT
ejpam-6481	338	17	e	e	NOUN
ejpam-6481	338	18	)	)	PUNCT
ejpam-6481	338	19	0	0	NUM
ejpam-6481	338	20	5	5	NUM
ejpam-6481	338	21	10	10	NUM
ejpam-6481	338	22	15	15	NUM
ejpam-6481	338	23	20	20	NUM
ejpam-6481	338	24	25	25	NUM
ejpam-6481	338	25	30	30	NUM
ejpam-6481	338	26	35	35	NUM
ejpam-6481	338	27	40	40	NUM
ejpam-6481	338	28	45	45	NUM
ejpam-6481	338	29	50	50	NUM
ejpam-6481	338	30	5	5	NUM
ejpam-6481	338	31	5.05	5.05	NUM
ejpam-6481	338	32	5.1	5.1	NUM
ejpam-6481	338	33	5.15	5.15	NUM
ejpam-6481	338	34	5.2	5.2	NUM
ejpam-6481	338	35	5.25	5.25	NUM
ejpam-6481	338	36	5.3	5.3	NUM
ejpam-6481	338	37	5.35	5.35	NUM
ejpam-6481	338	38	5.4	5.4	NUM
ejpam-6481	338	39	o	o	NOUN
ejpam-6481	338	40	u	u	NOUN
ejpam-6481	338	41	tp	tp	ADP
ejpam-6481	338	42	u	u	PROPN
ejpam-6481	338	43	t	t	PROPN
ejpam-6481	338	44	an	an	DET
ejpam-6481	338	45	d	d	PROPN
ejpam-6481	338	46	t	t	PROPN
ejpam-6481	338	47	ar	ar	PROPN
ejpam-6481	338	48	g	g	PROPN
ejpam-6481	338	49	et	et	PROPN
ejpam-6481	338	50	function	function	VERB
ejpam-6481	338	51	fit	fit	ADJ
ejpam-6481	338	52	for	for	ADP
ejpam-6481	338	53	output	output	NOUN
ejpam-6481	338	54	element	element	NOUN
ejpam-6481	338	55	v	v	ADP
ejpam-6481	338	56	training	training	NOUN
ejpam-6481	338	57	targets	target	NOUN
ejpam-6481	338	58	training	train	VERB
ejpam-6481	338	59	outputs	outputs	ADP
ejpam-6481	339	1	validation	validation	NOUN
ejpam-6481	339	2	targets	target	NOUN
ejpam-6481	339	3	validation	validation	NOUN
ejpam-6481	339	4	outputs	output	NOUN
ejpam-6481	339	5	test	test	NOUN
ejpam-6481	339	6	targets	target	NOUN
ejpam-6481	339	7	test	test	NOUN
ejpam-6481	339	8	outputs	output	NOUN
ejpam-6481	339	9	errors	error	NOUN
ejpam-6481	339	10	fit	fit	VERB
ejpam-6481	339	11	input	input	NOUN
ejpam-6481	340	1	-2	-2	INTJ
ejpam-6481	340	2	0	0	NUM
ejpam-6481	340	3	2	2	NUM
ejpam-6481	340	4	4	4	NUM
ejpam-6481	340	5	e	e	NOUN
ejpam-6481	340	6	rr	rr	NOUN
ejpam-6481	340	7	o	o	NOUN
ejpam-6481	340	8	r	r	NOUN
ejpam-6481	340	9	10	10	NUM
ejpam-6481	340	10	-	-	SYM
ejpam-6481	340	11	3	3	NUM
ejpam-6481	340	12	targets	target	NOUN
ejpam-6481	340	13	outputs	output	NOUN
ejpam-6481	340	14	(	(	PUNCT
ejpam-6481	340	15	f	f	X
ejpam-6481	340	16	)	)	PUNCT
ejpam-6481	340	17	figure	figure	NOUN
ejpam-6481	340	18	8	8	NUM
ejpam-6481	340	19	:	:	PUNCT
ejpam-6481	340	20	graphical	graphical	ADJ
ejpam-6481	340	21	presentation	presentation	NOUN
ejpam-6481	340	22	of	of	ADP
ejpam-6481	340	23	various	various	ADJ
ejpam-6481	340	24	data	datum	NOUN
ejpam-6481	340	25	results	result	NOUN
ejpam-6481	340	26	for	for	ADP
ejpam-6481	340	27	class	class	NOUN
ejpam-6481	340	28	v	v	NOUN
ejpam-6481	340	29	using	use	VERB
ejpam-6481	340	30	nns	nn	NOUN
ejpam-6481	340	31	(	(	PUNCT
ejpam-6481	340	32	a	a	X
ejpam-6481	340	33	)	)	PUNCT
ejpam-6481	340	34	all	all	DET
ejpam-6481	340	35	data	datum	NOUN
ejpam-6481	340	36	,	,	PUNCT
ejpam-6481	340	37	(	(	PUNCT
ejpam-6481	340	38	b	b	X
ejpam-6481	340	39	)	)	PUNCT
ejpam-6481	340	40	train	train	NOUN
ejpam-6481	340	41	data	datum	NOUN
ejpam-6481	340	42	,	,	PUNCT
ejpam-6481	340	43	(	(	PUNCT
ejpam-6481	340	44	c	c	NOUN
ejpam-6481	340	45	)	)	PUNCT
ejpam-6481	340	46	test	test	NOUN
ejpam-6481	340	47	data	datum	NOUN
ejpam-6481	340	48	(	(	PUNCT
ejpam-6481	340	49	d	d	NOUN
ejpam-6481	340	50	)	)	PUNCT
ejpam-6481	340	51	validation	validation	NOUN
ejpam-6481	340	52	(	(	PUNCT
ejpam-6481	340	53	e	e	NOUN
ejpam-6481	340	54	)	)	PUNCT
ejpam-6481	340	55	absolute	absolute	ADJ
ejpam-6481	340	56	error	error	NOUN
ejpam-6481	340	57	using	use	VERB
ejpam-6481	340	58	nns	nn	NOUN
ejpam-6481	340	59	and	and	CCONJ
ejpam-6481	340	60	(	(	PUNCT
ejpam-6481	340	61	f	f	X
ejpam-6481	340	62	)	)	PUNCT
ejpam-6481	340	63	function	function	VERB
ejpam-6481	340	64	fit	fit	ADJ
ejpam-6481	340	65	performance	performance	NOUN
ejpam-6481	340	66	.	.	PUNCT
ejpam-6481	341	1	the	the	DET
ejpam-6481	341	2	nns	nns	NOUN
ejpam-6481	341	3	used	use	VERB
ejpam-6481	341	4	contain	contain	VERB
ejpam-6481	341	5	two	two	NUM
ejpam-6481	341	6	hidden	hidden	ADJ
ejpam-6481	341	7	layers	layer	NOUN
ejpam-6481	341	8	with	with	ADP
ejpam-6481	341	9	20	20	NUM
ejpam-6481	341	10	neurons	neuron	NOUN
ejpam-6481	341	11	,	,	PUNCT
ejpam-6481	341	12	while	while	SCONJ
ejpam-6481	341	13	other	other	ADJ
ejpam-6481	341	14	units	unit	NOUN
ejpam-6481	341	15	are	be	AUX
ejpam-6481	341	16	presented	present	VERB
ejpam-6481	341	17	in	in	ADP
ejpam-6481	341	18	table	table	NOUN
ejpam-6481	341	19	2	2	NUM
ejpam-6481	341	20	.	.	PUNCT
ejpam-6481	342	1	s.	s.	PROPN
ejpam-6481	342	2	a.shah	a.shah	PROPN
ejpam-6481	342	3	et	et	PROPN
ejpam-6481	342	4	al	al	PROPN
ejpam-6481	342	5	.	.	PUNCT
ejpam-6481	342	6	/	/	SYM
ejpam-6481	342	7	eur	eur	PROPN
ejpam-6481	342	8	.	.	PUNCT
ejpam-6481	343	1	j.	j.	PROPN
ejpam-6481	343	2	pure	pure	PROPN
ejpam-6481	343	3	appl	appl	PROPN
ejpam-6481	343	4	.	.	PROPN
ejpam-6481	343	5	math	math	PROPN
ejpam-6481	343	6	,	,	PUNCT
ejpam-6481	343	7	18	18	NUM
ejpam-6481	343	8	(	(	PUNCT
ejpam-6481	343	9	3	3	NUM
ejpam-6481	343	10	)	)	PUNCT
ejpam-6481	343	11	(	(	PUNCT
ejpam-6481	343	12	2025	2025	NUM
ejpam-6481	343	13	)	)	PUNCT
ejpam-6481	343	14	,	,	PUNCT
ejpam-6481	343	15	6481	6481	NUM
ejpam-6481	343	16	17	17	NUM
ejpam-6481	343	17	of	of	ADP
ejpam-6481	343	18	19	19	NUM
ejpam-6481	343	19	unite	unite	ADJ
ejpam-6481	343	20	initial	initial	ADJ
ejpam-6481	343	21	value	value	NOUN
ejpam-6481	343	22	stopped	stop	VERB
ejpam-6481	343	23	value	value	NOUN
ejpam-6481	343	24	target	target	NOUN
ejpam-6481	343	25	value	value	NOUN
ejpam-6481	343	26	epoch	epoch	NOUN
ejpam-6481	343	27	0	0	NUM
ejpam-6481	343	28	68	68	NUM
ejpam-6481	343	29	1000	1000	NUM
ejpam-6481	343	30	elapsed	elapse	VERB
ejpam-6481	343	31	time	time	NOUN
ejpam-6481	343	32	00:00:00	00:00:00	NUM
ejpam-6481	343	33	performance	performance	NOUN
ejpam-6481	343	34	28.9	28.9	NUM
ejpam-6481	343	35	5.26e−	5.26e−	NUM
ejpam-6481	343	36	12	12	NUM
ejpam-6481	343	37	0	0	NUM
ejpam-6481	343	38	gradient	gradient	NOUN
ejpam-6481	343	39	46.9	46.9	NUM
ejpam-6481	343	40	1.4e−	1.4e−	NUM
ejpam-6481	343	41	06	06	NUM
ejpam-6481	344	1	1e−	1e−	NUM
ejpam-6481	344	2	07	07	NUM
ejpam-6481	344	3	standard	standard	ADJ
ejpam-6481	344	4	deviation	deviation	NOUN
ejpam-6481	344	5	0.001	0.001	NUM
ejpam-6481	344	6	1e−	1e−	NUM
ejpam-6481	344	7	011	011	NUM
ejpam-6481	344	8	1e+	1e+	NUM
ejpam-6481	344	9	10	10	NUM
ejpam-6481	344	10	validation	validation	NOUN
ejpam-6481	344	11	checks	check	NOUN
ejpam-6481	344	12	0	0	NUM
ejpam-6481	344	13	0	0	NUM
ejpam-6481	344	14	6	6	NUM
ejpam-6481	344	15	table	table	NOUN
ejpam-6481	344	16	3	3	NUM
ejpam-6481	344	17	:	:	PUNCT
ejpam-6481	344	18	training	train	VERB
ejpam-6481	344	19	progress	progress	NOUN
ejpam-6481	344	20	presentation	presentation	NOUN
ejpam-6481	344	21	for	for	ADP
ejpam-6481	344	22	class	class	NOUN
ejpam-6481	344	23	v	v	NOUN
ejpam-6481	344	24	.	.	PUNCT
ejpam-6481	345	1	7	7	X
ejpam-6481	345	2	.	.	X
ejpam-6481	345	3	conclusion	conclusion	NOUN
ejpam-6481	345	4	a	a	DET
ejpam-6481	345	5	discrete	discrete	ADJ
ejpam-6481	345	6	version	version	NOUN
ejpam-6481	345	7	of	of	ADP
ejpam-6481	345	8	hepatitis	hepatitis	PROPN
ejpam-6481	345	9	b	b	PROPN
ejpam-6481	345	10	and	and	CCONJ
ejpam-6481	345	11	c	c	PROPN
ejpam-6481	345	12	mathematical	mathematical	ADJ
ejpam-6481	345	13	model	model	NOUN
ejpam-6481	345	14	was	be	AUX
ejpam-6481	345	15	investigated	investigate	VERB
ejpam-6481	345	16	by	by	ADP
ejpam-6481	345	17	using	use	VERB
ejpam-6481	345	18	cfdo	cfdo	NOUN
ejpam-6481	345	19	.	.	PUNCT
ejpam-6481	346	1	sufficient	sufficient	ADJ
ejpam-6481	346	2	conditions	condition	NOUN
ejpam-6481	346	3	were	be	AUX
ejpam-6481	346	4	developed	develop	VERB
ejpam-6481	346	5	for	for	ADP
ejpam-6481	346	6	the	the	DET
ejpam-6481	346	7	existence	existence	NOUN
ejpam-6481	346	8	theory	theory	NOUN
ejpam-6481	346	9	and	and	CCONJ
ejpam-6481	346	10	stability	stability	NOUN
ejpam-6481	346	11	analysis	analysis	NOUN
ejpam-6481	346	12	.	.	PUNCT
ejpam-6481	347	1	moreover	moreover	ADV
ejpam-6481	347	2	,	,	PUNCT
ejpam-6481	347	3	numerical	numerical	ADJ
ejpam-6481	347	4	illustrations	illustration	NOUN
ejpam-6481	347	5	for	for	ADP
ejpam-6481	347	6	various	various	ADJ
ejpam-6481	347	7	densities	density	NOUN
ejpam-6481	347	8	including	include	VERB
ejpam-6481	347	9	healthy	healthy	ADJ
ejpam-6481	347	10	cells	cell	NOUN
ejpam-6481	347	11	,	,	PUNCT
ejpam-6481	347	12	infected	infected	ADJ
ejpam-6481	347	13	and	and	CCONJ
ejpam-6481	347	14	virus	virus	NOUN
ejpam-6481	347	15	free	free	ADJ
ejpam-6481	347	16	cells	cell	NOUN
ejpam-6481	347	17	were	be	AUX
ejpam-6481	347	18	presented	present	VERB
ejpam-6481	347	19	against	against	ADP
ejpam-6481	347	20	two	two	NUM
ejpam-6481	347	21	different	different	ADJ
ejpam-6481	347	22	sets	set	NOUN
ejpam-6481	347	23	of	of	ADP
ejpam-6481	347	24	fractional	fractional	ADJ
ejpam-6481	347	25	orders	order	NOUN
ejpam-6481	347	26	.	.	PUNCT
ejpam-6481	348	1	also	also	ADV
ejpam-6481	348	2	some	some	DET
ejpam-6481	348	3	stability	stability	NOUN
ejpam-6481	348	4	results	result	VERB
ejpam-6481	348	5	for	for	SCONJ
ejpam-6481	348	6	the	the	DET
ejpam-6481	348	7	corresponding	corresponding	ADJ
ejpam-6481	348	8	equilibrium	equilibrium	NOUN
ejpam-6481	348	9	points	point	NOUN
ejpam-6481	348	10	were	be	AUX
ejpam-6481	348	11	given	give	VERB
ejpam-6481	348	12	.	.	PUNCT
ejpam-6481	349	1	in	in	ADP
ejpam-6481	349	2	addition	addition	NOUN
ejpam-6481	349	3	,	,	PUNCT
ejpam-6481	349	4	nns	nn	NOUN
ejpam-6481	349	5	scheme	scheme	NOUN
ejpam-6481	349	6	was	be	AUX
ejpam-6481	349	7	established	establish	VERB
ejpam-6481	349	8	and	and	CCONJ
ejpam-6481	349	9	different	different	ADJ
ejpam-6481	349	10	data	datum	NOUN
ejpam-6481	349	11	dependence	dependence	NOUN
ejpam-6481	349	12	results	result	NOUN
ejpam-6481	349	13	by	by	ADP
ejpam-6481	349	14	using	use	VERB
ejpam-6481	349	15	the	the	DET
ejpam-6481	349	16	generated	generate	VERB
ejpam-6481	349	17	data	datum	NOUN
ejpam-6481	349	18	from	from	ADP
ejpam-6481	349	19	the	the	DET
ejpam-6481	349	20	numerical	numerical	ADJ
ejpam-6481	349	21	scheme	scheme	NOUN
ejpam-6481	349	22	given	give	VERB
ejpam-6481	349	23	in	in	ADP
ejpam-6481	349	24	eq	eq	ADP
ejpam-6481	349	25	.	.	PUNCT
ejpam-6481	350	1	(	(	PUNCT
ejpam-6481	350	2	20	20	NUM
ejpam-6481	350	3	)	)	PUNCT
ejpam-6481	350	4	using	use	VERB
ejpam-6481	350	5	the	the	DET
ejpam-6481	350	6	provided	provide	VERB
ejpam-6481	350	7	initial	initial	ADJ
ejpam-6481	350	8	values	value	NOUN
ejpam-6481	350	9	.	.	PUNCT
ejpam-6481	351	1	various	various	ADJ
ejpam-6481	351	2	results	result	NOUN
ejpam-6481	351	3	related	relate	VERB
ejpam-6481	351	4	to	to	ADP
ejpam-6481	351	5	mse	mse	PROPN
ejpam-6481	351	6	,	,	PUNCT
ejpam-6481	351	7	rmse	rmse	NOUN
ejpam-6481	351	8	,	,	PUNCT
ejpam-6481	351	9	regression	regression	NOUN
ejpam-6481	351	10	coefficient	coefficient	NOUN
ejpam-6481	351	11	,	,	PUNCT
ejpam-6481	351	12	and	and	CCONJ
ejpam-6481	351	13	absolute	absolute	ADJ
ejpam-6481	351	14	errors	error	NOUN
ejpam-6481	351	15	for	for	ADP
ejpam-6481	351	16	all	all	DET
ejpam-6481	351	17	three	three	NUM
ejpam-6481	351	18	classes	class	NOUN
ejpam-6481	351	19	were	be	AUX
ejpam-6481	351	20	investigated	investigate	VERB
ejpam-6481	351	21	.	.	PUNCT
ejpam-6481	352	1	from	from	ADP
ejpam-6481	352	2	the	the	DET
ejpam-6481	352	3	obtained	obtain	VERB
ejpam-6481	352	4	analysis	analysis	NOUN
ejpam-6481	352	5	,	,	PUNCT
ejpam-6481	352	6	it	it	PRON
ejpam-6481	352	7	has	have	AUX
ejpam-6481	352	8	been	be	AUX
ejpam-6481	352	9	found	find	VERB
ejpam-6481	352	10	that	that	SCONJ
ejpam-6481	352	11	nns	nn	NOUN
ejpam-6481	352	12	can	can	AUX
ejpam-6481	352	13	be	be	AUX
ejpam-6481	352	14	used	use	VERB
ejpam-6481	352	15	as	as	ADP
ejpam-6481	352	16	alternative	alternative	ADJ
ejpam-6481	352	17	powerful	powerful	ADJ
ejpam-6481	352	18	tools	tool	NOUN
ejpam-6481	352	19	to	to	PART
ejpam-6481	352	20	investigate	investigate	VERB
ejpam-6481	352	21	different	different	ADJ
ejpam-6481	352	22	epidemic	epidemic	NOUN
ejpam-6481	352	23	diseases	disease	NOUN
ejpam-6481	352	24	models	model	NOUN
ejpam-6481	352	25	.	.	PUNCT
ejpam-6481	353	1	in	in	ADP
ejpam-6481	353	2	the	the	DET
ejpam-6481	353	3	future	future	NOUN
ejpam-6481	353	4	,	,	PUNCT
ejpam-6481	353	5	we	we	PRON
ejpam-6481	353	6	will	will	AUX
ejpam-6481	353	7	extend	extend	VERB
ejpam-6481	353	8	our	our	PRON
ejpam-6481	353	9	results	result	NOUN
ejpam-6481	353	10	to	to	ADP
ejpam-6481	353	11	more	more	ADV
ejpam-6481	353	12	complex	complex	ADJ
ejpam-6481	353	13	dynamical	dynamical	ADJ
ejpam-6481	353	14	systems	system	NOUN
ejpam-6481	353	15	of	of	ADP
ejpam-6481	353	16	hepatitis	hepatitis	PROPN
ejpam-6481	353	17	b	b	PROPN
ejpam-6481	353	18	and	and	CCONJ
ejpam-6481	353	19	c	c	PROPN
ejpam-6481	353	20	mathematical	mathematical	ADJ
ejpam-6481	353	21	models	model	NOUN
ejpam-6481	353	22	.	.	PUNCT
ejpam-6481	354	1	conflict	conflict	NOUN
ejpam-6481	354	2	of	of	ADP
ejpam-6481	354	3	interest	interest	NOUN
ejpam-6481	354	4	we	we	PRON
ejpam-6481	354	5	have	have	VERB
ejpam-6481	354	6	no	no	DET
ejpam-6481	354	7	conflict	conflict	NOUN
ejpam-6481	354	8	of	of	ADP
ejpam-6481	354	9	interest	interest	NOUN
ejpam-6481	354	10	.	.	PUNCT
ejpam-6481	355	1	acknowledgements	acknowledgement	NOUN
ejpam-6481	355	2	the	the	DET
ejpam-6481	355	3	authors	author	NOUN
ejpam-6481	355	4	would	would	AUX
ejpam-6481	355	5	like	like	VERB
ejpam-6481	355	6	to	to	PART
ejpam-6481	355	7	acknowledge	acknowledge	VERB
ejpam-6481	355	8	prince	prince	PROPN
ejpam-6481	355	9	sultan	sultan	PROPN
ejpam-6481	355	10	university	university	PROPN
ejpam-6481	355	11	for	for	ADP
ejpam-6481	355	12	paying	pay	VERB
ejpam-6481	355	13	the	the	DET
ejpam-6481	355	14	apc	apc	PROPN
ejpam-6481	355	15	and	and	CCONJ
ejpam-6481	355	16	valuable	valuable	ADJ
ejpam-6481	355	17	support	support	NOUN
ejpam-6481	355	18	.	.	PUNCT
ejpam-6481	356	1	references	reference	NOUN
ejpam-6481	356	2	[	[	X
ejpam-6481	356	3	1	1	X
ejpam-6481	356	4	]	]	X
ejpam-6481	356	5	ching	ching	PROPN
ejpam-6481	356	6	shan	shan	PROPN
ejpam-6481	356	7	chou	chou	PROPN
ejpam-6481	356	8	and	and	CCONJ
ejpam-6481	356	9	avner	avner	PROPN
ejpam-6481	356	10	friedman	friedman	PROPN
ejpam-6481	356	11	.	.	PUNCT
ejpam-6481	357	1	introduction	introduction	NOUN
ejpam-6481	357	2	to	to	ADP
ejpam-6481	357	3	mathematical	mathematical	ADJ
ejpam-6481	357	4	biology	biology	NOUN
ejpam-6481	357	5	:	:	PUNCT
ejpam-6481	357	6	modeling	modeling	NOUN
ejpam-6481	357	7	,	,	PUNCT
ejpam-6481	357	8	analysis	analysis	NOUN
ejpam-6481	357	9	,	,	PUNCT
ejpam-6481	357	10	and	and	CCONJ
ejpam-6481	357	11	simulations	simulation	NOUN
ejpam-6481	357	12	.	.	PUNCT
ejpam-6481	358	1	springer	springer	NOUN
ejpam-6481	358	2	,	,	PUNCT
ejpam-6481	358	3	2016	2016	NUM
ejpam-6481	358	4	.	.	PUNCT
ejpam-6481	359	1	[	[	X
ejpam-6481	359	2	2	2	NUM
ejpam-6481	359	3	]	]	PUNCT
ejpam-6481	359	4	mg	mg	PROPN
ejpam-6481	359	5	roberts	roberts	PROPN
ejpam-6481	359	6	and	and	CCONJ
ejpam-6481	359	7	jap	jap	PROPN
ejpam-6481	359	8	heesterbeek	heesterbeek	NOUN
ejpam-6481	359	9	.	.	PUNCT
ejpam-6481	360	1	mathematical	mathematical	ADJ
ejpam-6481	360	2	models	model	NOUN
ejpam-6481	360	3	in	in	ADP
ejpam-6481	360	4	epidemiology	epidemiology	NOUN
ejpam-6481	360	5	,	,	PUNCT
ejpam-6481	360	6	volume	volume	NOUN
ejpam-6481	360	7	215	215	NUM
ejpam-6481	360	8	.	.	PUNCT
ejpam-6481	361	1	eolss	eolss	PROPN
ejpam-6481	361	2	abu	abu	PROPN
ejpam-6481	361	3	dhabi	dhabi	PROPN
ejpam-6481	361	4	,	,	PUNCT
ejpam-6481	361	5	united	united	PROPN
ejpam-6481	361	6	arab	arab	PROPN
ejpam-6481	361	7	emirates	emirates	PROPN
ejpam-6481	361	8	,	,	PUNCT
ejpam-6481	361	9	2003	2003	NUM
ejpam-6481	361	10	.	.	PUNCT
ejpam-6481	362	1	[	[	X
ejpam-6481	362	2	3	3	X
ejpam-6481	362	3	]	]	SYM
ejpam-6481	362	4	shaher	shaher	X
ejpam-6481	362	5	momani	momani	PROPN
ejpam-6481	362	6	,	,	PUNCT
ejpam-6481	362	7	ranbir	ranbir	PROPN
ejpam-6481	362	8	kumar	kumar	PROPN
ejpam-6481	362	9	,	,	PUNCT
ejpam-6481	362	10	hm	hm	PROPN
ejpam-6481	362	11	srivastava	srivastava	PROPN
ejpam-6481	362	12	,	,	PUNCT
ejpam-6481	362	13	sunil	sunil	PROPN
ejpam-6481	362	14	kumar	kumar	PROPN
ejpam-6481	362	15	,	,	PUNCT
ejpam-6481	362	16	and	and	CCONJ
ejpam-6481	362	17	samir	samir	PROPN
ejpam-6481	362	18	hadid	hadid	PROPN
ejpam-6481	362	19	.	.	PUNCT
ejpam-6481	363	1	a	a	DET
ejpam-6481	363	2	chaos	chaos	NOUN
ejpam-6481	363	3	study	study	NOUN
ejpam-6481	363	4	of	of	ADP
ejpam-6481	363	5	fractional	fractional	ADJ
ejpam-6481	363	6	sir	sir	NOUN
ejpam-6481	363	7	epidemic	epidemic	NOUN
ejpam-6481	363	8	model	model	NOUN
ejpam-6481	363	9	of	of	ADP
ejpam-6481	363	10	childhood	childhood	NOUN
ejpam-6481	363	11	diseases	disease	NOUN
ejpam-6481	363	12	.	.	PUNCT
ejpam-6481	364	1	results	result	NOUN
ejpam-6481	364	2	in	in	ADP
ejpam-6481	364	3	physics	physics	NOUN
ejpam-6481	364	4	,	,	PUNCT
ejpam-6481	364	5	27:104422	27:104422	NUM
ejpam-6481	364	6	,	,	PUNCT
ejpam-6481	364	7	2021	2021	NUM
ejpam-6481	364	8	.	.	PUNCT
ejpam-6481	365	1	s.	s.	PROPN
ejpam-6481	365	2	a.shah	a.shah	PROPN
ejpam-6481	365	3	et	et	PROPN
ejpam-6481	365	4	al	al	PROPN
ejpam-6481	365	5	.	.	PUNCT
ejpam-6481	365	6	/	/	SYM
ejpam-6481	365	7	eur	eur	PROPN
ejpam-6481	365	8	.	.	PUNCT
ejpam-6481	366	1	j.	j.	PROPN
ejpam-6481	366	2	pure	pure	PROPN
ejpam-6481	366	3	appl	appl	PROPN
ejpam-6481	366	4	.	.	PROPN
ejpam-6481	366	5	math	math	PROPN
ejpam-6481	366	6	,	,	PUNCT
ejpam-6481	366	7	18	18	NUM
ejpam-6481	366	8	(	(	PUNCT
ejpam-6481	366	9	3	3	NUM
ejpam-6481	366	10	)	)	PUNCT
ejpam-6481	366	11	(	(	PUNCT
ejpam-6481	366	12	2025	2025	NUM
ejpam-6481	366	13	)	)	PUNCT
ejpam-6481	366	14	,	,	PUNCT
ejpam-6481	366	15	6481	6481	NUM
ejpam-6481	366	16	18	18	NUM
ejpam-6481	366	17	of	of	ADP
ejpam-6481	366	18	19	19	NUM
ejpam-6481	367	1	[	[	SYM
ejpam-6481	367	2	4	4	NUM
ejpam-6481	367	3	]	]	X
ejpam-6481	367	4	a	a	DET
ejpam-6481	367	5	isaacs	isaacs	PROPN
ejpam-6481	367	6	and	and	CCONJ
ejpam-6481	367	7	ch	ch	NOUN
ejpam-6481	367	8	andrewes	andrewe	NOUN
ejpam-6481	367	9	.	.	PUNCT
ejpam-6481	368	1	spread	spread	NOUN
ejpam-6481	368	2	of	of	ADP
ejpam-6481	368	3	influenza	influenza	NOUN
ejpam-6481	368	4	.	.	PUNCT
ejpam-6481	369	1	british	british	ADJ
ejpam-6481	369	2	medical	medical	PROPN
ejpam-6481	369	3	journal	journal	PROPN
ejpam-6481	369	4	,	,	PUNCT
ejpam-6481	369	5	2(4737):921	2(4737):921	NUM
ejpam-6481	369	6	,	,	PUNCT
ejpam-6481	369	7	1951	1951	NUM
ejpam-6481	369	8	.	.	PUNCT
ejpam-6481	370	1	[	[	X
ejpam-6481	370	2	5	5	X
ejpam-6481	370	3	]	]	PUNCT
ejpam-6481	370	4	ingrid	ingrid	NOUN
ejpam-6481	370	5	a	a	DET
ejpam-6481	370	6	binswanger	binswanger	NOUN
ejpam-6481	370	7	,	,	PUNCT
ejpam-6481	370	8	komal	komal	PROPN
ejpam-6481	370	9	j	j	PROPN
ejpam-6481	370	10	narwaney	narwaney	PROPN
ejpam-6481	370	11	,	,	PUNCT
ejpam-6481	370	12	jennifer	jennifer	PROPN
ejpam-6481	370	13	c	c	PROPN
ejpam-6481	370	14	barrow	barrow	PROPN
ejpam-6481	370	15	,	,	PUNCT
ejpam-6481	370	16	kathleen	kathleen	PROPN
ejpam-6481	370	17	b	b	PROPN
ejpam-6481	370	18	albers	albers	PROPN
ejpam-6481	370	19	,	,	PUNCT
ejpam-6481	370	20	laura	laura	PROPN
ejpam-6481	370	21	bechtel	bechtel	PROPN
ejpam-6481	370	22	,	,	PUNCT
ejpam-6481	370	23	claudia	claudia	X
ejpam-6481	370	24	a	a	DET
ejpam-6481	370	25	steiner	steiner	NOUN
ejpam-6481	370	26	,	,	PUNCT
ejpam-6481	370	27	jo	jo	PROPN
ejpam-6481	370	28	ann	ann	PROPN
ejpam-6481	370	29	shoup	shoup	PROPN
ejpam-6481	370	30	,	,	PUNCT
ejpam-6481	370	31	and	and	CCONJ
ejpam-6481	370	32	jason	jason	PROPN
ejpam-6481	370	33	m	m	PROPN
ejpam-6481	370	34	glanz	glanz	PROPN
ejpam-6481	370	35	.	.	PUNCT
ejpam-6481	371	1	association	association	NOUN
ejpam-6481	371	2	between	between	ADP
ejpam-6481	371	3	severe	severe	ADJ
ejpam-6481	371	4	acute	acute	ADJ
ejpam-6481	371	5	respiratory	respiratory	ADJ
ejpam-6481	371	6	syndrome	syndrome	NOUN
ejpam-6481	371	7	coronavirus	coronavirus	NOUN
ejpam-6481	371	8	2	2	NUM
ejpam-6481	371	9	antibody	antibody	NOUN
ejpam-6481	371	10	status	status	NOUN
ejpam-6481	371	11	and	and	CCONJ
ejpam-6481	371	12	reinfection	reinfection	NOUN
ejpam-6481	371	13	:	:	PUNCT
ejpam-6481	371	14	a	a	DET
ejpam-6481	371	15	case	case	NOUN
ejpam-6481	371	16	-	-	PUNCT
ejpam-6481	371	17	control	control	NOUN
ejpam-6481	371	18	study	study	NOUN
ejpam-6481	371	19	nested	nest	VERB
ejpam-6481	371	20	in	in	ADP
ejpam-6481	371	21	a	a	DET
ejpam-6481	371	22	colorado	colorado	NOUN
ejpam-6481	371	23	-	-	PUNCT
ejpam-6481	371	24	based	base	VERB
ejpam-6481	371	25	prospective	prospective	ADJ
ejpam-6481	371	26	cohort	cohort	NOUN
ejpam-6481	371	27	study	study	NOUN
ejpam-6481	371	28	.	.	PUNCT
ejpam-6481	372	1	preventive	preventive	ADJ
ejpam-6481	372	2	medicine	medicine	NOUN
ejpam-6481	372	3	reports	report	NOUN
ejpam-6481	372	4	,	,	PUNCT
ejpam-6481	372	5	37:102530	37:102530	NUM
ejpam-6481	372	6	,	,	PUNCT
ejpam-6481	372	7	2024	2024	NUM
ejpam-6481	372	8	.	.	PUNCT
ejpam-6481	373	1	[	[	X
ejpam-6481	373	2	6	6	NUM
ejpam-6481	373	3	]	]	PUNCT
ejpam-6481	373	4	a	a	DET
ejpam-6481	373	5	melo	melo	PROPN
ejpam-6481	373	6	-	-	PUNCT
ejpam-6481	373	7	florián	florián	PROPN
ejpam-6481	373	8	.	.	PUNCT
ejpam-6481	374	1	spanish	spanish	ADJ
ejpam-6481	374	2	flu	flu	PROPN
ejpam-6481	374	3	:	:	PUNCT
ejpam-6481	374	4	learnings	learning	NOUN
ejpam-6481	374	5	for	for	ADP
ejpam-6481	374	6	xxith	xxith	ADP
ejpam-6481	374	7	century	century	NOUN
ejpam-6481	374	8	.	.	PUNCT
ejpam-6481	375	1	medicine	medicine	NOUN
ejpam-6481	375	2	,	,	PUNCT
ejpam-6481	375	3	pages	page	NOUN
ejpam-6481	375	4	1–8	1–8	NUM
ejpam-6481	375	5	,	,	PUNCT
ejpam-6481	375	6	2025	2025	NUM
ejpam-6481	375	7	.	.	PUNCT
ejpam-6481	376	1	[	[	X
ejpam-6481	376	2	7	7	X
ejpam-6481	376	3	]	]	X
ejpam-6481	376	4	helen	helen	PROPN
ejpam-6481	376	5	s	s	PROPN
ejpam-6481	376	6	te	te	PROPN
ejpam-6481	376	7	and	and	CCONJ
ejpam-6481	376	8	donald	donald	PROPN
ejpam-6481	376	9	m	m	PROPN
ejpam-6481	376	10	jensen	jensen	PROPN
ejpam-6481	376	11	.	.	PUNCT
ejpam-6481	377	1	epidemiology	epidemiology	NOUN
ejpam-6481	377	2	of	of	ADP
ejpam-6481	377	3	hepatitis	hepatitis	PROPN
ejpam-6481	377	4	b	b	PROPN
ejpam-6481	377	5	and	and	CCONJ
ejpam-6481	377	6	c	c	PROPN
ejpam-6481	377	7	viruses	virus	NOUN
ejpam-6481	377	8	:	:	PUNCT
ejpam-6481	377	9	a	a	DET
ejpam-6481	377	10	global	global	ADJ
ejpam-6481	377	11	overview	overview	NOUN
ejpam-6481	377	12	.	.	PUNCT
ejpam-6481	378	1	clinics	clinic	NOUN
ejpam-6481	378	2	in	in	ADP
ejpam-6481	378	3	liver	liver	NOUN
ejpam-6481	378	4	disease	disease	NOUN
ejpam-6481	378	5	,	,	PUNCT
ejpam-6481	378	6	14(1):1–21	14(1):1–21	NUM
ejpam-6481	378	7	,	,	PUNCT
ejpam-6481	378	8	2010	2010	NUM
ejpam-6481	378	9	.	.	PUNCT
ejpam-6481	379	1	[	[	X
ejpam-6481	379	2	8	8	NUM
ejpam-6481	379	3	]	]	X
ejpam-6481	379	4	don	don	PROPN
ejpam-6481	379	5	ganem	ganem	PROPN
ejpam-6481	379	6	and	and	CCONJ
ejpam-6481	379	7	alfred	alfred	PROPN
ejpam-6481	379	8	m	m	PROPN
ejpam-6481	379	9	prince	prince	PROPN
ejpam-6481	379	10	.	.	PUNCT
ejpam-6481	380	1	hepatitis	hepatitis	PROPN
ejpam-6481	380	2	b	b	PROPN
ejpam-6481	380	3	virus	virus	NOUN
ejpam-6481	380	4	infection	infection	NOUN
ejpam-6481	380	5	-natural	-natural	ADJ
ejpam-6481	380	6	history	history	NOUN
ejpam-6481	380	7	and	and	CCONJ
ejpam-6481	380	8	clinical	clinical	ADJ
ejpam-6481	380	9	consequences	consequence	NOUN
ejpam-6481	380	10	.	.	PUNCT
ejpam-6481	381	1	new	new	PROPN
ejpam-6481	381	2	england	england	PROPN
ejpam-6481	381	3	journal	journal	PROPN
ejpam-6481	381	4	of	of	ADP
ejpam-6481	381	5	medicine	medicine	NOUN
ejpam-6481	381	6	,	,	PUNCT
ejpam-6481	381	7	350(11):1118–1129	350(11):1118–1129	NUM
ejpam-6481	381	8	,	,	PUNCT
ejpam-6481	381	9	2004	2004	NUM
ejpam-6481	381	10	.	.	PUNCT
ejpam-6481	382	1	[	[	X
ejpam-6481	382	2	9	9	NUM
ejpam-6481	382	3	]	]	X
ejpam-6481	382	4	syed	syed	ADJ
ejpam-6481	382	5	asad	asad	PROPN
ejpam-6481	382	6	ali	ali	PROPN
ejpam-6481	382	7	,	,	PUNCT
ejpam-6481	382	8	rafe	rafe	PROPN
ejpam-6481	382	9	mj	mj	PROPN
ejpam-6481	382	10	donahue	donahue	PROPN
ejpam-6481	382	11	,	,	PUNCT
ejpam-6481	382	12	huma	huma	PROPN
ejpam-6481	382	13	qureshi	qureshi	PROPN
ejpam-6481	382	14	,	,	PUNCT
ejpam-6481	382	15	and	and	CCONJ
ejpam-6481	382	16	sten	sten	PROPN
ejpam-6481	382	17	h	h	PROPN
ejpam-6481	382	18	vermund	vermund	NOUN
ejpam-6481	382	19	.	.	PUNCT
ejpam-6481	383	1	hepatitis	hepatitis	PROPN
ejpam-6481	383	2	b	b	PROPN
ejpam-6481	383	3	and	and	CCONJ
ejpam-6481	383	4	hepatitis	hepatitis	PROPN
ejpam-6481	383	5	c	c	PROPN
ejpam-6481	383	6	in	in	ADP
ejpam-6481	383	7	pakistan	pakistan	PROPN
ejpam-6481	383	8	:	:	PUNCT
ejpam-6481	383	9	prevalence	prevalence	NOUN
ejpam-6481	383	10	and	and	CCONJ
ejpam-6481	383	11	risk	risk	NOUN
ejpam-6481	383	12	factors	factor	NOUN
ejpam-6481	383	13	.	.	PUNCT
ejpam-6481	384	1	international	international	ADJ
ejpam-6481	384	2	journal	journal	NOUN
ejpam-6481	384	3	of	of	ADP
ejpam-6481	384	4	infectious	infectious	ADJ
ejpam-6481	384	5	diseases	disease	NOUN
ejpam-6481	384	6	,	,	PUNCT
ejpam-6481	384	7	13(1):9–19	13(1):9–19	NUM
ejpam-6481	384	8	,	,	PUNCT
ejpam-6481	384	9	2009	2009	NUM
ejpam-6481	384	10	.	.	PUNCT
ejpam-6481	385	1	[	[	X
ejpam-6481	385	2	10	10	NUM
ejpam-6481	385	3	]	]	X
ejpam-6481	385	4	maud	maud	PROPN
ejpam-6481	385	5	lemoine	lemoine	PROPN
ejpam-6481	385	6	and	and	CCONJ
ejpam-6481	385	7	mark	mark	PROPN
ejpam-6481	385	8	thursz	thursz	PROPN
ejpam-6481	385	9	.	.	PUNCT
ejpam-6481	386	1	hepatitis	hepatitis	PROPN
ejpam-6481	386	2	c	c	PROPN
ejpam-6481	386	3	,	,	PUNCT
ejpam-6481	386	4	a	a	DET
ejpam-6481	386	5	global	global	ADJ
ejpam-6481	386	6	issue	issue	NOUN
ejpam-6481	386	7	:	:	PUNCT
ejpam-6481	386	8	access	access	NOUN
ejpam-6481	386	9	to	to	ADP
ejpam-6481	386	10	care	care	NOUN
ejpam-6481	386	11	and	and	CCONJ
ejpam-6481	386	12	new	new	ADJ
ejpam-6481	386	13	therapeutic	therapeutic	ADJ
ejpam-6481	386	14	and	and	CCONJ
ejpam-6481	386	15	preventive	preventive	ADJ
ejpam-6481	386	16	approaches	approach	NOUN
ejpam-6481	386	17	in	in	ADP
ejpam-6481	386	18	resource	resource	NOUN
ejpam-6481	386	19	-	-	PUNCT
ejpam-6481	386	20	constrained	constrain	VERB
ejpam-6481	386	21	areas	area	NOUN
ejpam-6481	386	22	.	.	PUNCT
ejpam-6481	387	1	in	in	ADP
ejpam-6481	387	2	seminars	seminar	NOUN
ejpam-6481	387	3	in	in	ADP
ejpam-6481	387	4	liver	liver	NOUN
ejpam-6481	387	5	disease	disease	NOUN
ejpam-6481	387	6	,	,	PUNCT
ejpam-6481	387	7	volume	volume	NOUN
ejpam-6481	387	8	34	34	NUM
ejpam-6481	387	9	,	,	PUNCT
ejpam-6481	387	10	pages	page	NOUN
ejpam-6481	387	11	089–097	089–097	NUM
ejpam-6481	387	12	.	.	PUNCT
ejpam-6481	388	1	thieme	thieme	NOUN
ejpam-6481	388	2	medical	medical	ADJ
ejpam-6481	388	3	publishers	publisher	NOUN
ejpam-6481	388	4	,	,	PUNCT
ejpam-6481	388	5	2014	2014	NUM
ejpam-6481	388	6	.	.	PUNCT
ejpam-6481	389	1	[	[	X
ejpam-6481	389	2	11	11	NUM
ejpam-6481	389	3	]	]	X
ejpam-6481	389	4	ngan	ngan	PROPN
ejpam-6481	389	5	hoe	hoe	PROPN
ejpam-6481	389	6	lee	lee	PROPN
ejpam-6481	389	7	and	and	CCONJ
ejpam-6481	389	8	kit	kit	NOUN
ejpam-6481	389	9	ee	ee	PROPN
ejpam-6481	389	10	dawn	dawn	PROPN
ejpam-6481	389	11	ng	ng	PROPN
ejpam-6481	389	12	.	.	PROPN
ejpam-6481	389	13	mathematical	mathematical	PROPN
ejpam-6481	389	14	modelling	modelling	NOUN
ejpam-6481	389	15	:	:	PUNCT
ejpam-6481	389	16	from	from	ADP
ejpam-6481	389	17	theory	theory	NOUN
ejpam-6481	389	18	to	to	ADP
ejpam-6481	389	19	practice	practice	VERB
ejpam-6481	389	20	,	,	PUNCT
ejpam-6481	389	21	volume	volume	NOUN
ejpam-6481	389	22	8	8	NUM
ejpam-6481	389	23	.	.	PUNCT
ejpam-6481	389	24	world	world	NOUN
ejpam-6481	389	25	scientific	scientific	ADJ
ejpam-6481	389	26	,	,	PUNCT
ejpam-6481	389	27	2015	2015	NUM
ejpam-6481	389	28	.	.	PUNCT
ejpam-6481	390	1	[	[	X
ejpam-6481	390	2	12	12	NUM
ejpam-6481	390	3	]	]	X
ejpam-6481	390	4	amit	amit	PROPN
ejpam-6481	390	5	huppert	huppert	PROPN
ejpam-6481	390	6	and	and	CCONJ
ejpam-6481	390	7	guy	guy	PROPN
ejpam-6481	390	8	katriel	katriel	PROPN
ejpam-6481	390	9	.	.	PUNCT
ejpam-6481	391	1	mathematical	mathematical	ADJ
ejpam-6481	391	2	modelling	modelling	NOUN
ejpam-6481	391	3	and	and	CCONJ
ejpam-6481	391	4	prediction	prediction	NOUN
ejpam-6481	391	5	in	in	ADP
ejpam-6481	391	6	infectious	infectious	ADJ
ejpam-6481	391	7	disease	disease	NOUN
ejpam-6481	391	8	epidemiology	epidemiology	NOUN
ejpam-6481	391	9	.	.	PUNCT
ejpam-6481	392	1	clinical	clinical	ADJ
ejpam-6481	392	2	microbiology	microbiology	NOUN
ejpam-6481	392	3	and	and	CCONJ
ejpam-6481	392	4	infection	infection	NOUN
ejpam-6481	392	5	,	,	PUNCT
ejpam-6481	392	6	19(11):999–1005	19(11):999–1005	NUM
ejpam-6481	392	7	,	,	PUNCT
ejpam-6481	392	8	2013	2013	NUM
ejpam-6481	392	9	.	.	PUNCT
ejpam-6481	393	1	[	[	X
ejpam-6481	393	2	13	13	NUM
ejpam-6481	393	3	]	]	PUNCT
ejpam-6481	393	4	rafael	rafael	PROPN
ejpam-6481	393	5	pantoja	pantoja	PROPN
ejpam-6481	393	6	rangel	rangel	PROPN
ejpam-6481	393	7	,	,	PUNCT
ejpam-6481	393	8	mdlgmagaña	mdlgmagaña	PROPN
ejpam-6481	393	9	,	,	PUNCT
ejpam-6481	393	10	ricardo	ricardo	PROPN
ejpam-6481	393	11	ulloa	ulloa	PROPN
ejpam-6481	393	12	azpeitia	azpeitia	PROPN
ejpam-6481	393	13	,	,	PUNCT
ejpam-6481	393	14	and	and	CCONJ
ejpam-6481	393	15	elena	elena	PROPN
ejpam-6481	393	16	nesterova	nesterova	PROPN
ejpam-6481	393	17	.	.	PUNCT
ejpam-6481	394	1	mathematical	mathematical	ADJ
ejpam-6481	394	2	modeling	modeling	NOUN
ejpam-6481	394	3	in	in	ADP
ejpam-6481	394	4	problem	problem	NOUN
ejpam-6481	394	5	situations	situation	NOUN
ejpam-6481	394	6	of	of	ADP
ejpam-6481	394	7	daily	daily	ADJ
ejpam-6481	394	8	life	life	NOUN
ejpam-6481	394	9	.	.	PUNCT
ejpam-6481	395	1	journal	journal	PROPN
ejpam-6481	395	2	of	of	ADP
ejpam-6481	395	3	education	education	NOUN
ejpam-6481	395	4	and	and	CCONJ
ejpam-6481	395	5	human	human	ADJ
ejpam-6481	395	6	development	development	NOUN
ejpam-6481	395	7	,	,	PUNCT
ejpam-6481	395	8	5(1):62–76	5(1):62–76	NUM
ejpam-6481	395	9	,	,	PUNCT
ejpam-6481	395	10	2016	2016	NUM
ejpam-6481	395	11	.	.	PUNCT
ejpam-6481	396	1	[	[	X
ejpam-6481	396	2	14	14	NUM
ejpam-6481	396	3	]	]	X
ejpam-6481	396	4	piotr	piotr	PROPN
ejpam-6481	396	5	ostalczyk	ostalczyk	PROPN
ejpam-6481	396	6	.	.	PUNCT
ejpam-6481	397	1	discrete	discrete	ADJ
ejpam-6481	397	2	fractional	fractional	ADJ
ejpam-6481	397	3	calculus	calculus	NOUN
ejpam-6481	397	4	:	:	PUNCT
ejpam-6481	397	5	applications	application	NOUN
ejpam-6481	397	6	in	in	ADP
ejpam-6481	397	7	control	control	NOUN
ejpam-6481	397	8	and	and	CCONJ
ejpam-6481	397	9	image	image	NOUN
ejpam-6481	397	10	processing	processing	NOUN
ejpam-6481	397	11	,	,	PUNCT
ejpam-6481	397	12	volume	volume	NOUN
ejpam-6481	397	13	4	4	NUM
ejpam-6481	397	14	.	.	PUNCT
ejpam-6481	398	1	world	world	NOUN
ejpam-6481	398	2	scientific	scientific	ADJ
ejpam-6481	398	3	,	,	PUNCT
ejpam-6481	398	4	2015	2015	NUM
ejpam-6481	398	5	.	.	PUNCT
ejpam-6481	399	1	[	[	X
ejpam-6481	399	2	15	15	NUM
ejpam-6481	399	3	]	]	X
ejpam-6481	399	4	abdulrahman	abdulrahman	PROPN
ejpam-6481	399	5	al	al	PROPN
ejpam-6481	399	6	-	-	PUNCT
ejpam-6481	399	7	khedhairi	khedhairi	PROPN
ejpam-6481	399	8	,	,	PUNCT
ejpam-6481	399	9	abdelalim	abdelalim	VERB
ejpam-6481	399	10	a	a	DET
ejpam-6481	399	11	elsadany	elsadany	NOUN
ejpam-6481	399	12	,	,	PUNCT
ejpam-6481	399	13	and	and	CCONJ
ejpam-6481	399	14	amr	amr	ADJ
ejpam-6481	399	15	elsonbaty	elsonbaty	NOUN
ejpam-6481	399	16	.	.	PUNCT
ejpam-6481	400	1	on	on	ADP
ejpam-6481	400	2	the	the	DET
ejpam-6481	400	3	dynamics	dynamic	NOUN
ejpam-6481	400	4	of	of	ADP
ejpam-6481	400	5	a	a	DET
ejpam-6481	400	6	discrete	discrete	ADJ
ejpam-6481	400	7	fractional	fractional	ADJ
ejpam-6481	400	8	-	-	PUNCT
ejpam-6481	400	9	order	order	NOUN
ejpam-6481	400	10	cournot	cournot	NOUN
ejpam-6481	400	11	–	–	PUNCT
ejpam-6481	400	12	bertrand	bertrand	PROPN
ejpam-6481	400	13	competition	competition	NOUN
ejpam-6481	400	14	duopoly	duopoly	ADJ
ejpam-6481	400	15	game	game	NOUN
ejpam-6481	400	16	.	.	PUNCT
ejpam-6481	401	1	mathematical	mathematical	ADJ
ejpam-6481	401	2	problems	problem	NOUN
ejpam-6481	401	3	in	in	ADP
ejpam-6481	401	4	engineering	engineering	NOUN
ejpam-6481	401	5	,	,	PUNCT
ejpam-6481	401	6	2022(1):8249215	2022(1):8249215	NUM
ejpam-6481	401	7	,	,	PUNCT
ejpam-6481	401	8	2022	2022	NUM
ejpam-6481	401	9	.	.	PUNCT
ejpam-6481	402	1	[	[	X
ejpam-6481	402	2	16	16	NUM
ejpam-6481	402	3	]	]	X
ejpam-6481	402	4	amr	amr	ADJ
ejpam-6481	402	5	elsonbaty	elsonbaty	NOUN
ejpam-6481	402	6	and	and	CCONJ
ejpam-6481	402	7	aa	aa	PROPN
ejpam-6481	402	8	elsadany	elsadany	NOUN
ejpam-6481	402	9	.	.	PUNCT
ejpam-6481	403	1	on	on	ADP
ejpam-6481	403	2	discrete	discrete	ADJ
ejpam-6481	403	3	fractional	fractional	ADJ
ejpam-6481	403	4	-	-	PUNCT
ejpam-6481	403	5	order	order	NOUN
ejpam-6481	403	6	lotka	lotka	PROPN
ejpam-6481	403	7	-	-	PUNCT
ejpam-6481	403	8	volterra	volterra	PROPN
ejpam-6481	403	9	model	model	NOUN
ejpam-6481	403	10	based	base	VERB
ejpam-6481	403	11	on	on	ADP
ejpam-6481	403	12	the	the	DET
ejpam-6481	403	13	caputo	caputo	PROPN
ejpam-6481	403	14	difference	difference	NOUN
ejpam-6481	403	15	discrete	discrete	ADJ
ejpam-6481	403	16	operator	operator	NOUN
ejpam-6481	403	17	.	.	PUNCT
ejpam-6481	404	1	mathematical	mathematical	ADJ
ejpam-6481	404	2	sciences	sciences	PROPN
ejpam-6481	404	3	,	,	PUNCT
ejpam-6481	404	4	17(1):67–79	17(1):67–79	NUM
ejpam-6481	404	5	,	,	PUNCT
ejpam-6481	404	6	2023	2023	NUM
ejpam-6481	404	7	.	.	PUNCT
ejpam-6481	405	1	[	[	X
ejpam-6481	405	2	17	17	NUM
ejpam-6481	405	3	]	]	X
ejpam-6481	405	4	lan	lan	PROPN
ejpam-6481	405	5	-	-	PUNCT
ejpam-6481	405	6	lan	lan	PROPN
ejpam-6481	405	7	huang	huang	PROPN
ejpam-6481	405	8	,	,	PUNCT
ejpam-6481	405	9	ju	ju	PROPN
ejpam-6481	405	10	h	h	PROPN
ejpam-6481	405	11	park	park	PROPN
ejpam-6481	405	12	,	,	PUNCT
ejpam-6481	405	13	guo	guo	PROPN
ejpam-6481	405	14	-	-	PUNCT
ejpam-6481	405	15	cheng	cheng	PROPN
ejpam-6481	405	16	wu	wu	PROPN
ejpam-6481	405	17	,	,	PUNCT
ejpam-6481	405	18	and	and	CCONJ
ejpam-6481	405	19	zhi	zhi	PROPN
ejpam-6481	405	20	-	-	PUNCT
ejpam-6481	405	21	wen	wen	PROPN
ejpam-6481	405	22	mo	mo	PROPN
ejpam-6481	405	23	.	.	PROPN
ejpam-6481	405	24	variable	variable	ADJ
ejpam-6481	405	25	-	-	PUNCT
ejpam-6481	405	26	order	order	NOUN
ejpam-6481	405	27	fractional	fractional	ADJ
ejpam-6481	405	28	discrete	discrete	ADJ
ejpam-6481	405	29	-	-	PUNCT
ejpam-6481	405	30	time	time	NOUN
ejpam-6481	405	31	recurrent	recurrent	ADJ
ejpam-6481	405	32	neural	neural	ADJ
ejpam-6481	405	33	networks	network	NOUN
ejpam-6481	405	34	.	.	PUNCT
ejpam-6481	406	1	journal	journal	NOUN
ejpam-6481	406	2	of	of	ADP
ejpam-6481	406	3	computational	computational	ADJ
ejpam-6481	406	4	and	and	CCONJ
ejpam-6481	406	5	applied	applied	ADJ
ejpam-6481	406	6	mathematics	mathematic	NOUN
ejpam-6481	406	7	,	,	PUNCT
ejpam-6481	406	8	370:112633	370:112633	NUM
ejpam-6481	406	9	,	,	PUNCT
ejpam-6481	406	10	2020	2020	NUM
ejpam-6481	406	11	.	.	PUNCT
ejpam-6481	407	1	[	[	X
ejpam-6481	407	2	18	18	NUM
ejpam-6481	407	3	]	]	X
ejpam-6481	407	4	zai	zai	NOUN
ejpam-6481	407	5	-	-	PUNCT
ejpam-6481	407	6	yin	yin	NOUN
ejpam-6481	407	7	he	he	PRON
ejpam-6481	407	8	,	,	PUNCT
ejpam-6481	407	9	abderrahmane	abderrahmane	PROPN
ejpam-6481	407	10	abbes	abbe	NOUN
ejpam-6481	407	11	,	,	PUNCT
ejpam-6481	407	12	hadi	hadi	PROPN
ejpam-6481	407	13	jahanshahi	jahanshahi	PROPN
ejpam-6481	407	14	,	,	PUNCT
ejpam-6481	407	15	naif	naif	NOUN
ejpam-6481	407	16	d	d	NOUN
ejpam-6481	407	17	alotaibi	alotaibi	NOUN
ejpam-6481	407	18	,	,	PUNCT
ejpam-6481	407	19	and	and	CCONJ
ejpam-6481	407	20	ye	ye	NUM
ejpam-6481	407	21	wang	wang	PROPN
ejpam-6481	407	22	.	.	PUNCT
ejpam-6481	408	1	fractional	fractional	ADJ
ejpam-6481	408	2	-	-	PUNCT
ejpam-6481	408	3	order	order	NOUN
ejpam-6481	408	4	discrete	discrete	ADJ
ejpam-6481	408	5	-	-	PUNCT
ejpam-6481	408	6	time	time	NOUN
ejpam-6481	408	7	sir	sir	NOUN
ejpam-6481	408	8	epidemic	epidemic	NOUN
ejpam-6481	408	9	model	model	NOUN
ejpam-6481	408	10	with	with	ADP
ejpam-6481	408	11	vaccination	vaccination	NOUN
ejpam-6481	408	12	:	:	PUNCT
ejpam-6481	408	13	chaos	chaos	NOUN
ejpam-6481	408	14	and	and	CCONJ
ejpam-6481	408	15	complexity	complexity	NOUN
ejpam-6481	408	16	.	.	PUNCT
ejpam-6481	409	1	mathematics	mathematic	NOUN
ejpam-6481	409	2	,	,	PUNCT
ejpam-6481	409	3	10(2):165	10(2):165	NUM
ejpam-6481	409	4	,	,	PUNCT
ejpam-6481	409	5	2022	2022	NUM
ejpam-6481	409	6	.	.	PUNCT
ejpam-6481	410	1	[	[	X
ejpam-6481	410	2	19	19	NUM
ejpam-6481	410	3	]	]	X
ejpam-6481	410	4	vasily	vasily	NOUN
ejpam-6481	410	5	e	e	NOUN
ejpam-6481	410	6	tarasov	tarasov	NOUN
ejpam-6481	410	7	and	and	CCONJ
ejpam-6481	410	8	valentina	valentina	PROPN
ejpam-6481	410	9	v	v	PROPN
ejpam-6481	410	10	tarasova	tarasova	PROPN
ejpam-6481	410	11	.	.	PUNCT
ejpam-6481	411	1	long	long	ADJ
ejpam-6481	411	2	and	and	CCONJ
ejpam-6481	411	3	short	short	ADJ
ejpam-6481	411	4	memory	memory	NOUN
ejpam-6481	411	5	in	in	ADP
ejpam-6481	411	6	economics	economic	NOUN
ejpam-6481	411	7	:	:	PUNCT
ejpam-6481	411	8	fractional	fractional	ADJ
ejpam-6481	411	9	-	-	PUNCT
ejpam-6481	411	10	order	order	NOUN
ejpam-6481	411	11	difference	difference	NOUN
ejpam-6481	411	12	and	and	CCONJ
ejpam-6481	411	13	differentiation	differentiation	NOUN
ejpam-6481	411	14	.	.	PUNCT
ejpam-6481	412	1	arxiv	arxiv	PROPN
ejpam-6481	412	2	preprint	preprint	PROPN
ejpam-6481	412	3	arxiv:1612.07903	arxiv:1612.07903	NOUN
ejpam-6481	412	4	,	,	PUNCT
ejpam-6481	412	5	2016	2016	NUM
ejpam-6481	412	6	.	.	PUNCT
ejpam-6481	413	1	[	[	X
ejpam-6481	413	2	20	20	NUM
ejpam-6481	413	3	]	]	SYM
ejpam-6481	413	4	yuexi	yuexi	PROPN
ejpam-6481	413	5	peng	peng	PROPN
ejpam-6481	413	6	,	,	PUNCT
ejpam-6481	413	7	shaobo	shaobo	NOUN
ejpam-6481	413	8	he	he	PRON
ejpam-6481	413	9	,	,	PUNCT
ejpam-6481	413	10	and	and	CCONJ
ejpam-6481	413	11	kehui	kehui	PROPN
ejpam-6481	413	12	sun	sun	PROPN
ejpam-6481	413	13	.	.	PUNCT
ejpam-6481	414	1	chaos	chaos	NOUN
ejpam-6481	414	2	in	in	ADP
ejpam-6481	414	3	the	the	DET
ejpam-6481	414	4	discrete	discrete	ADJ
ejpam-6481	414	5	memristor	memristor	NOUN
ejpam-6481	414	6	-	-	PUNCT
ejpam-6481	414	7	based	base	VERB
ejpam-6481	414	8	system	system	NOUN
ejpam-6481	414	9	with	with	ADP
ejpam-6481	414	10	fractional	fractional	ADJ
ejpam-6481	414	11	-	-	PUNCT
ejpam-6481	414	12	order	order	NOUN
ejpam-6481	414	13	difference	difference	NOUN
ejpam-6481	414	14	.	.	PUNCT
ejpam-6481	415	1	results	result	NOUN
ejpam-6481	415	2	in	in	ADP
ejpam-6481	415	3	physics	physics	NOUN
ejpam-6481	415	4	,	,	PUNCT
ejpam-6481	415	5	24:104106	24:104106	NOUN
ejpam-6481	415	6	,	,	PUNCT
ejpam-6481	415	7	2021	2021	NUM
ejpam-6481	415	8	.	.	PUNCT
ejpam-6481	416	1	s.	s.	PROPN
ejpam-6481	416	2	a.shah	a.shah	PROPN
ejpam-6481	416	3	et	et	PROPN
ejpam-6481	416	4	al	al	PROPN
ejpam-6481	416	5	.	.	PUNCT
ejpam-6481	416	6	/	/	SYM
ejpam-6481	416	7	eur	eur	PROPN
ejpam-6481	416	8	.	.	PUNCT
ejpam-6481	417	1	j.	j.	PROPN
ejpam-6481	417	2	pure	pure	PROPN
ejpam-6481	417	3	appl	appl	PROPN
ejpam-6481	417	4	.	.	PROPN
ejpam-6481	417	5	math	math	PROPN
ejpam-6481	417	6	,	,	PUNCT
ejpam-6481	417	7	18	18	NUM
ejpam-6481	417	8	(	(	PUNCT
ejpam-6481	417	9	3	3	NUM
ejpam-6481	417	10	)	)	PUNCT
ejpam-6481	417	11	(	(	PUNCT
ejpam-6481	417	12	2025	2025	NUM
ejpam-6481	417	13	)	)	PUNCT
ejpam-6481	417	14	,	,	PUNCT
ejpam-6481	417	15	6481	6481	NUM
ejpam-6481	417	16	19	19	NUM
ejpam-6481	417	17	of	of	ADP
ejpam-6481	417	18	19	19	NUM
ejpam-6481	417	19	[	[	SYM
ejpam-6481	417	20	21	21	NUM
ejpam-6481	417	21	]	]	X
ejpam-6481	417	22	fulai	fulai	PROPN
ejpam-6481	417	23	chen	chen	PROPN
ejpam-6481	417	24	and	and	CCONJ
ejpam-6481	417	25	yong	yong	PROPN
ejpam-6481	417	26	zhou	zhou	PROPN
ejpam-6481	417	27	.	.	PUNCT
ejpam-6481	418	1	existence	existence	NOUN
ejpam-6481	418	2	and	and	CCONJ
ejpam-6481	418	3	ulam	ulam	PROPN
ejpam-6481	418	4	stability	stability	NOUN
ejpam-6481	418	5	of	of	ADP
ejpam-6481	418	6	solutions	solution	NOUN
ejpam-6481	418	7	for	for	ADP
ejpam-6481	418	8	discrete	discrete	ADJ
ejpam-6481	418	9	fractional	fractional	ADJ
ejpam-6481	418	10	boundary	boundary	ADJ
ejpam-6481	418	11	value	value	NOUN
ejpam-6481	418	12	problem	problem	NOUN
ejpam-6481	418	13	.	.	PUNCT
ejpam-6481	419	1	discrete	discrete	ADJ
ejpam-6481	419	2	dynamics	dynamic	NOUN
ejpam-6481	419	3	in	in	ADP
ejpam-6481	419	4	nature	nature	NOUN
ejpam-6481	419	5	and	and	CCONJ
ejpam-6481	419	6	society	society	NOUN
ejpam-6481	419	7	,	,	PUNCT
ejpam-6481	419	8	2013(1):459161	2013(1):459161	NUM
ejpam-6481	419	9	,	,	PUNCT
ejpam-6481	419	10	2013	2013	NUM
ejpam-6481	419	11	.	.	PUNCT
ejpam-6481	420	1	[	[	X
ejpam-6481	420	2	22	22	NUM
ejpam-6481	420	3	]	]	X
ejpam-6481	420	4	pauline	pauline	PROPN
ejpam-6481	420	5	van	van	PROPN
ejpam-6481	420	6	den	den	PROPN
ejpam-6481	420	7	driessche	driessche	PROPN
ejpam-6481	420	8	.	.	PUNCT
ejpam-6481	421	1	reproduction	reproduction	NOUN
ejpam-6481	421	2	numbers	number	NOUN
ejpam-6481	421	3	of	of	ADP
ejpam-6481	421	4	infectious	infectious	ADJ
ejpam-6481	421	5	disease	disease	NOUN
ejpam-6481	421	6	models	model	NOUN
ejpam-6481	421	7	.	.	PUNCT
ejpam-6481	422	1	infectious	infectious	ADJ
ejpam-6481	422	2	disease	disease	NOUN
ejpam-6481	422	3	modelling	modelling	NOUN
ejpam-6481	422	4	,	,	PUNCT
ejpam-6481	422	5	2(3):288–303	2(3):288–303	NUM
ejpam-6481	422	6	,	,	PUNCT
ejpam-6481	422	7	2017	2017	NUM
ejpam-6481	422	8	.	.	PUNCT
ejpam-6481	423	1	[	[	X
ejpam-6481	423	2	23	23	NUM
ejpam-6481	423	3	]	]	PUNCT
ejpam-6481	423	4	zahura	zahura	PROPN
ejpam-6481	423	5	khatun	khatun	PROPN
ejpam-6481	423	6	,	,	PUNCT
ejpam-6481	423	7	md	md	PROPN
ejpam-6481	423	8	shahidul	shahidul	PROPN
ejpam-6481	423	9	islam	islam	PROPN
ejpam-6481	423	10	,	,	PUNCT
ejpam-6481	423	11	and	and	CCONJ
ejpam-6481	423	12	uttam	uttam	PROPN
ejpam-6481	423	13	ghosh	ghosh	PROPN
ejpam-6481	423	14	.	.	PUNCT
ejpam-6481	424	1	mathematical	mathematical	ADJ
ejpam-6481	424	2	modeling	modeling	NOUN
ejpam-6481	424	3	of	of	ADP
ejpam-6481	424	4	hepatitis	hepatitis	PROPN
ejpam-6481	424	5	b	b	PROPN
ejpam-6481	424	6	virus	virus	NOUN
ejpam-6481	424	7	infection	infection	NOUN
ejpam-6481	424	8	incorporating	incorporate	VERB
ejpam-6481	424	9	immune	immune	ADJ
ejpam-6481	424	10	responses	response	NOUN
ejpam-6481	424	11	.	.	PUNCT
ejpam-6481	425	1	sensors	sensor	NOUN
ejpam-6481	425	2	international	international	PROPN
ejpam-6481	425	3	,	,	PUNCT
ejpam-6481	425	4	1:100017	1:100017	NUM
ejpam-6481	425	5	,	,	PUNCT
ejpam-6481	425	6	2020	2020	NUM
ejpam-6481	425	7	.	.	PUNCT
ejpam-6481	426	1	[	[	X
ejpam-6481	426	2	24	24	NUM
ejpam-6481	426	3	]	]	X
ejpam-6481	426	4	olga	olga	PROPN
ejpam-6481	426	5	igorevna	igorevna	VERB
ejpam-6481	426	6	krivorotko	krivorotko	PROPN
ejpam-6481	426	7	,	,	PUNCT
ejpam-6481	426	8	n	n	PROPN
ejpam-6481	426	9	yu	yu	PROPN
ejpam-6481	426	10	zyatkov	zyatkov	PROPN
ejpam-6481	426	11	,	,	PUNCT
ejpam-6481	426	12	and	and	CCONJ
ejpam-6481	426	13	sergey	sergey	PROPN
ejpam-6481	426	14	igorevich	igorevich	PROPN
ejpam-6481	426	15	kabanikhin	kabanikhin	PROPN
ejpam-6481	426	16	.	.	PUNCT
ejpam-6481	427	1	modeling	model	VERB
ejpam-6481	427	2	epidemics	epidemic	NOUN
ejpam-6481	427	3	:	:	PUNCT
ejpam-6481	427	4	neural	neural	ADJ
ejpam-6481	427	5	network	network	NOUN
ejpam-6481	427	6	based	base	VERB
ejpam-6481	427	7	on	on	ADP
ejpam-6481	427	8	data	datum	NOUN
ejpam-6481	427	9	and	and	CCONJ
ejpam-6481	427	10	sir	sir	NOUN
ejpam-6481	427	11	-	-	PUNCT
ejpam-6481	427	12	model	model	NOUN
ejpam-6481	427	13	.	.	PUNCT
ejpam-6481	428	1	computational	computational	ADJ
ejpam-6481	428	2	mathematics	mathematic	NOUN
ejpam-6481	428	3	and	and	CCONJ
ejpam-6481	428	4	mathematical	mathematical	ADJ
ejpam-6481	428	5	physics	physics	NOUN
ejpam-6481	428	6	,	,	PUNCT
ejpam-6481	428	7	63(10):1929–1941	63(10):1929–1941	PROPN
ejpam-6481	428	8	,	,	PUNCT
ejpam-6481	428	9	2023	2023	NUM
ejpam-6481	428	10	.	.	PUNCT
ejpam-6481	429	1	[	[	X
ejpam-6481	429	2	25	25	NUM
ejpam-6481	429	3	]	]	PUNCT
ejpam-6481	429	4	behnam	behnam	PROPN
ejpam-6481	429	5	nikparvar	nikparvar	PROPN
ejpam-6481	429	6	,	,	PUNCT
ejpam-6481	429	7	md	md	PROPN
ejpam-6481	429	8	mokhlesur	mokhlesur	PROPN
ejpam-6481	429	9	rahman	rahman	PROPN
ejpam-6481	429	10	,	,	PUNCT
ejpam-6481	429	11	faizeh	faizeh	PROPN
ejpam-6481	429	12	hatami	hatami	PROPN
ejpam-6481	429	13	,	,	PUNCT
ejpam-6481	429	14	and	and	CCONJ
ejpam-6481	429	15	jean	jean	PROPN
ejpam-6481	429	16	-	-	PUNCT
ejpam-6481	429	17	claude	claude	PROPN
ejpam-6481	429	18	thill	thill	PROPN
ejpam-6481	429	19	.	.	PUNCT
ejpam-6481	430	1	spatio	spatio	PROPN
ejpam-6481	430	2	-	-	PUNCT
ejpam-6481	430	3	temporal	temporal	ADJ
ejpam-6481	430	4	prediction	prediction	NOUN
ejpam-6481	430	5	of	of	ADP
ejpam-6481	430	6	the	the	DET
ejpam-6481	430	7	covid-19	covid-19	PROPN
ejpam-6481	430	8	pandemic	pandemic	NOUN
ejpam-6481	430	9	in	in	ADP
ejpam-6481	430	10	us	us	PROPN
ejpam-6481	430	11	counties	county	NOUN
ejpam-6481	430	12	:	:	PUNCT
ejpam-6481	430	13	modeling	model	VERB
ejpam-6481	430	14	with	with	ADP
ejpam-6481	430	15	a	a	DET
ejpam-6481	430	16	deep	deep	ADJ
ejpam-6481	430	17	lstm	lstm	ADJ
ejpam-6481	430	18	neural	neural	ADJ
ejpam-6481	430	19	network	network	NOUN
ejpam-6481	430	20	.	.	PUNCT
ejpam-6481	431	1	scientific	scientific	ADJ
ejpam-6481	431	2	reports	report	NOUN
ejpam-6481	431	3	,	,	PUNCT
ejpam-6481	431	4	11(1):21715	11(1):21715	NUM
ejpam-6481	431	5	,	,	PUNCT
ejpam-6481	431	6	2021	2021	NUM
ejpam-6481	431	7	.	.	PUNCT
ejpam-6481	432	1	[	[	X
ejpam-6481	432	2	26	26	NUM
ejpam-6481	432	3	]	]	X
ejpam-6481	432	4	xiao	xiao	PROPN
ejpam-6481	432	5	ning	ning	PROPN
ejpam-6481	432	6	,	,	PUNCT
ejpam-6481	432	7	linlin	linlin	PROPN
ejpam-6481	432	8	jia	jia	PROPN
ejpam-6481	432	9	,	,	PUNCT
ejpam-6481	432	10	yongyue	yongyue	PROPN
ejpam-6481	432	11	wei	wei	PROPN
ejpam-6481	432	12	,	,	PUNCT
ejpam-6481	432	13	xi	xi	PROPN
ejpam-6481	432	14	-	-	PUNCT
ejpam-6481	432	15	an	an	DET
ejpam-6481	432	16	li	li	NOUN
ejpam-6481	432	17	,	,	PUNCT
ejpam-6481	432	18	and	and	CCONJ
ejpam-6481	432	19	feng	feng	PROPN
ejpam-6481	432	20	chen	chen	PROPN
ejpam-6481	432	21	.	.	PUNCT
ejpam-6481	433	1	epi	epi	NOUN
ejpam-6481	433	2	-	-	NOUN
ejpam-6481	433	3	dnns	dnns	ADJ
ejpam-6481	433	4	:	:	PUNCT
ejpam-6481	433	5	epidemiological	epidemiological	ADJ
ejpam-6481	433	6	priors	prior	NOUN
ejpam-6481	433	7	informed	inform	VERB
ejpam-6481	433	8	deep	deep	ADJ
ejpam-6481	433	9	neural	neural	ADJ
ejpam-6481	433	10	networks	network	NOUN
ejpam-6481	433	11	for	for	ADP
ejpam-6481	433	12	modeling	model	VERB
ejpam-6481	433	13	covid-19	covid-19	PROPN
ejpam-6481	433	14	dynamics	dynamic	NOUN
ejpam-6481	433	15	.	.	PUNCT
ejpam-6481	434	1	computers	computer	NOUN
ejpam-6481	434	2	in	in	ADP
ejpam-6481	434	3	biology	biology	NOUN
ejpam-6481	434	4	and	and	CCONJ
ejpam-6481	434	5	medicine	medicine	NOUN
ejpam-6481	434	6	,	,	PUNCT
ejpam-6481	434	7	158:106693	158:106693	NUM
ejpam-6481	434	8	,	,	PUNCT
ejpam-6481	434	9	2023	2023	NUM
ejpam-6481	434	10	.	.	PUNCT
ejpam-6481	435	1	[	[	X
ejpam-6481	435	2	27	27	NUM
ejpam-6481	435	3	]	]	X
ejpam-6481	435	4	muhammad	muhammad	PROPN
ejpam-6481	435	5	sher	sher	PROPN
ejpam-6481	435	6	,	,	PUNCT
ejpam-6481	435	7	kamal	kamal	PROPN
ejpam-6481	435	8	shah	shah	PROPN
ejpam-6481	435	9	,	,	PUNCT
ejpam-6481	435	10	zeeshan	zeeshan	PROPN
ejpam-6481	435	11	ali	ali	PROPN
ejpam-6481	435	12	,	,	PUNCT
ejpam-6481	435	13	thabet	thabet	ADJ
ejpam-6481	435	14	abdeljawad	abdeljawad	NOUN
ejpam-6481	435	15	,	,	PUNCT
ejpam-6481	435	16	and	and	CCONJ
ejpam-6481	435	17	manar	manar	PROPN
ejpam-6481	435	18	alqudah	alqudah	PROPN
ejpam-6481	435	19	.	.	PUNCT
ejpam-6481	436	1	using	use	VERB
ejpam-6481	436	2	deep	deep	ADJ
ejpam-6481	436	3	neural	neural	ADJ
ejpam-6481	436	4	network	network	NOUN
ejpam-6481	436	5	in	in	ADP
ejpam-6481	436	6	computational	computational	ADJ
ejpam-6481	436	7	analysis	analysis	NOUN
ejpam-6481	436	8	of	of	ADP
ejpam-6481	436	9	coupled	couple	VERB
ejpam-6481	436	10	systems	system	NOUN
ejpam-6481	436	11	of	of	ADP
ejpam-6481	436	12	fractional	fractional	ADJ
ejpam-6481	436	13	integro	integro	ADJ
ejpam-6481	436	14	-	-	PUNCT
ejpam-6481	436	15	differential	differential	NOUN
ejpam-6481	436	16	equations	equation	NOUN
ejpam-6481	436	17	.	.	PUNCT
ejpam-6481	437	1	journal	journal	NOUN
ejpam-6481	437	2	of	of	ADP
ejpam-6481	437	3	computational	computational	ADJ
ejpam-6481	437	4	and	and	CCONJ
ejpam-6481	437	5	applied	applied	ADJ
ejpam-6481	437	6	mathematics	mathematic	NOUN
ejpam-6481	437	7	,	,	PUNCT
ejpam-6481	437	8	page	page	NOUN
ejpam-6481	437	9	116912	116912	NUM
ejpam-6481	437	10	,	,	PUNCT
ejpam-6481	437	11	2025	2025	NUM
ejpam-6481	437	12	.	.	PUNCT
ejpam-6481	438	1	[	[	X
ejpam-6481	438	2	28	28	NUM
ejpam-6481	438	3	]	]	X
ejpam-6481	438	4	kamal	kamal	PROPN
ejpam-6481	438	5	shah	shah	PROPN
ejpam-6481	438	6	,	,	PUNCT
ejpam-6481	438	7	thabet	thabet	ADJ
ejpam-6481	438	8	abdeljawad	abdeljawad	NOUN
ejpam-6481	438	9	,	,	PUNCT
ejpam-6481	438	10	bahaaeldin	bahaaeldin	VERB
ejpam-6481	438	11	abdalla	abdalla	PROPN
ejpam-6481	438	12	,	,	PUNCT
ejpam-6481	438	13	and	and	CCONJ
ejpam-6481	438	14	zeeshan	zeeshan	PROPN
ejpam-6481	438	15	ali	ali	PROPN
ejpam-6481	438	16	.	.	PROPN
ejpam-6481	438	17	analyzing	analyze	VERB
ejpam-6481	438	18	a	a	DET
ejpam-6481	438	19	coupled	couple	VERB
ejpam-6481	438	20	dynamical	dynamical	ADJ
ejpam-6481	438	21	system	system	NOUN
ejpam-6481	438	22	of	of	ADP
ejpam-6481	438	23	materials	material	NOUN
ejpam-6481	438	24	recycling	recycling	NOUN
ejpam-6481	438	25	in	in	ADP
ejpam-6481	438	26	chemostat	chemostat	NOUN
ejpam-6481	438	27	systems	system	NOUN
ejpam-6481	438	28	with	with	ADP
ejpam-6481	438	29	artificial	artificial	ADJ
ejpam-6481	438	30	deep	deep	ADJ
ejpam-6481	438	31	neural	neural	ADJ
ejpam-6481	438	32	network	network	NOUN
ejpam-6481	438	33	.	.	PUNCT
ejpam-6481	439	1	modeling	model	VERB
ejpam-6481	439	2	earth	earth	NOUN
ejpam-6481	439	3	systems	system	NOUN
ejpam-6481	439	4	and	and	CCONJ
ejpam-6481	439	5	environment	environment	NOUN
ejpam-6481	439	6	,	,	PUNCT
ejpam-6481	439	7	11(5):1–14	11(5):1–14	PROPN
ejpam-6481	439	8	,	,	PUNCT
ejpam-6481	439	9	2025	2025	NUM
ejpam-6481	439	10	.	.	PUNCT
ejpam-6481	440	1	[	[	X
ejpam-6481	440	2	29	29	NUM
ejpam-6481	440	3	]	]	X
ejpam-6481	440	4	hasib	hasib	PROPN
ejpam-6481	440	5	khan	khan	PROPN
ejpam-6481	440	6	,	,	PUNCT
ejpam-6481	440	7	jehad	jehad	PROPN
ejpam-6481	440	8	alzabut	alzabut	PROPN
ejpam-6481	440	9	,	,	PUNCT
ejpam-6481	440	10	and	and	CCONJ
ejpam-6481	440	11	dk	dk	PROPN
ejpam-6481	440	12	almutairi	almutairi	NOUN
ejpam-6481	440	13	.	.	PUNCT
ejpam-6481	441	1	applications	application	NOUN
ejpam-6481	441	2	of	of	ADP
ejpam-6481	441	3	artificial	artificial	ADJ
ejpam-6481	441	4	intelligence	intelligence	NOUN
ejpam-6481	441	5	for	for	ADP
ejpam-6481	441	6	clusters	cluster	NOUN
ejpam-6481	441	7	analysis	analysis	NOUN
ejpam-6481	441	8	of	of	ADP
ejpam-6481	441	9	uranium	uranium	NOUN
ejpam-6481	441	10	decay	decay	NOUN
ejpam-6481	441	11	via	via	ADP
ejpam-6481	441	12	a	a	DET
ejpam-6481	441	13	fractional	fractional	ADJ
ejpam-6481	441	14	order	order	NOUN
ejpam-6481	441	15	discrete	discrete	ADJ
ejpam-6481	441	16	model	model	NOUN
ejpam-6481	441	17	.	.	PUNCT
ejpam-6481	442	1	partial	partial	ADJ
ejpam-6481	442	2	differential	differential	ADJ
ejpam-6481	442	3	equations	equation	NOUN
ejpam-6481	442	4	in	in	ADP
ejpam-6481	442	5	applied	applied	ADJ
ejpam-6481	442	6	mathematics	mathematic	NOUN
ejpam-6481	442	7	,	,	PUNCT
ejpam-6481	442	8	13:101056	13:101056	NUM
ejpam-6481	442	9	,	,	PUNCT
ejpam-6481	442	10	2025	2025	NUM
ejpam-6481	442	11	.	.	PUNCT
ejpam-6481	443	1	[	[	X
ejpam-6481	443	2	30	30	NUM
ejpam-6481	443	3	]	]	X
ejpam-6481	443	4	hasib	hasib	PROPN
ejpam-6481	443	5	khan	khan	PROPN
ejpam-6481	443	6	,	,	PUNCT
ejpam-6481	443	7	jehad	jehad	PROPN
ejpam-6481	443	8	alzabut	alzabut	PROPN
ejpam-6481	443	9	,	,	PUNCT
ejpam-6481	443	10	dk	dk	PROPN
ejpam-6481	443	11	almutairi	almutairi	NOUN
ejpam-6481	443	12	,	,	PUNCT
ejpam-6481	443	13	and	and	CCONJ
ejpam-6481	443	14	wafa	wafa	PROPN
ejpam-6481	443	15	khalaf	khalaf	PROPN
ejpam-6481	443	16	alqurashi	alqurashi	PROPN
ejpam-6481	443	17	.	.	PUNCT
ejpam-6481	444	1	the	the	DET
ejpam-6481	444	2	use	use	NOUN
ejpam-6481	444	3	of	of	ADP
ejpam-6481	444	4	artificial	artificial	ADJ
ejpam-6481	444	5	intelligence	intelligence	NOUN
ejpam-6481	444	6	in	in	ADP
ejpam-6481	444	7	data	datum	NOUN
ejpam-6481	444	8	analysis	analysis	NOUN
ejpam-6481	444	9	with	with	ADP
ejpam-6481	444	10	error	error	NOUN
ejpam-6481	444	11	recognitions	recognition	NOUN
ejpam-6481	444	12	in	in	ADP
ejpam-6481	444	13	liver	liver	NOUN
ejpam-6481	444	14	transplantation	transplantation	NOUN
ejpam-6481	444	15	in	in	ADP
ejpam-6481	444	16	hiv	hiv	PROPN
ejpam-6481	444	17	-	-	PUNCT
ejpam-6481	444	18	aids	aid	NOUN
ejpam-6481	444	19	patients	patient	NOUN
ejpam-6481	444	20	using	use	VERB
ejpam-6481	444	21	modified	modify	VERB
ejpam-6481	444	22	abc	abc	PROPN
ejpam-6481	444	23	fractional	fractional	ADJ
ejpam-6481	444	24	order	order	NOUN
ejpam-6481	444	25	operators	operator	NOUN
ejpam-6481	444	26	.	.	PUNCT
ejpam-6481	445	1	fractal	fractal	PROPN
ejpam-6481	445	2	&	&	CCONJ
ejpam-6481	445	3	fractional	fractional	ADJ
ejpam-6481	445	4	,	,	PUNCT
ejpam-6481	445	5	9(1	9(1	NUM
ejpam-6481	445	6	)	)	PUNCT
ejpam-6481	445	7	,	,	PUNCT
ejpam-6481	445	8	2025	2025	NUM
ejpam-6481	445	9	.	.	PUNCT