id	sid	tid	token	lemma	pos
ejpam-6053	1	1	european	european	PROPN
ejpam-6053	1	2	journal	journal	PROPN
ejpam-6053	1	3	of	of	ADP
ejpam-6053	1	4	pure	pure	ADJ
ejpam-6053	1	5	and	and	CCONJ
ejpam-6053	1	6	applied	applied	ADJ
ejpam-6053	1	7	mathematics	mathematic	NOUN
ejpam-6053	1	8	2025	2025	NUM
ejpam-6053	1	9	,	,	PUNCT
ejpam-6053	1	10	vol	vol	NOUN
ejpam-6053	1	11	.	.	PROPN
ejpam-6053	1	12	18	18	NUM
ejpam-6053	1	13	,	,	PUNCT
ejpam-6053	1	14	issue	issue	NOUN
ejpam-6053	1	15	2	2	NUM
ejpam-6053	1	16	,	,	PUNCT
ejpam-6053	1	17	article	article	NOUN
ejpam-6053	1	18	number	number	NOUN
ejpam-6053	1	19	6053	6053	NUM
ejpam-6053	1	20	issn	issn	VERB
ejpam-6053	1	21	1307	1307	NUM
ejpam-6053	1	22	-	-	SYM
ejpam-6053	1	23	5543	5543	NUM
ejpam-6053	1	24	–	–	PUNCT
ejpam-6053	1	25	ejpam.com	ejpam.com	X
ejpam-6053	1	26	published	publish	VERB
ejpam-6053	1	27	by	by	ADP
ejpam-6053	1	28	new	new	PROPN
ejpam-6053	1	29	york	york	PROPN
ejpam-6053	1	30	business	business	PROPN
ejpam-6053	1	31	global	global	PROPN
ejpam-6053	1	32	modeling	modeling	NOUN
ejpam-6053	1	33	virus	virus	NOUN
ejpam-6053	1	34	mutation	mutation	NOUN
ejpam-6053	1	35	dynamics	dynamic	NOUN
ejpam-6053	1	36	using	use	VERB
ejpam-6053	1	37	piecewise	piecewise	NOUN
ejpam-6053	1	38	fractional	fractional	ADJ
ejpam-6053	1	39	derivatives	derivative	NOUN
ejpam-6053	1	40	eiman1	eiman1	ADV
ejpam-6053	1	41	,	,	PUNCT
ejpam-6053	1	42	kamal	kamal	PROPN
ejpam-6053	1	43	shah1,2,∗	shah1,2,∗	PROPN
ejpam-6053	1	44	,	,	PUNCT
ejpam-6053	1	45	muhammad	muhammad	PROPN
ejpam-6053	1	46	sarwar1,2	sarwar1,2	PROPN
ejpam-6053	1	47	,	,	PUNCT
ejpam-6053	1	48	thabet	thabet	ADJ
ejpam-6053	1	49	abdeljawad2	abdeljawad2	PROPN
ejpam-6053	1	50	1	1	NUM
ejpam-6053	1	51	department	department	NOUN
ejpam-6053	1	52	of	of	ADP
ejpam-6053	1	53	mathematics	mathematic	NOUN
ejpam-6053	1	54	,	,	PUNCT
ejpam-6053	1	55	university	university	NOUN
ejpam-6053	1	56	of	of	ADP
ejpam-6053	1	57	malakand	malakand	PROPN
ejpam-6053	1	58	,	,	PUNCT
ejpam-6053	1	59	chakdara	chakdara	PROPN
ejpam-6053	1	60	,	,	PUNCT
ejpam-6053	1	61	dir(l	dir(l	PROPN
ejpam-6053	1	62	)	)	PUNCT
ejpam-6053	1	63	,	,	PUNCT
ejpam-6053	1	64	khyber	khyber	PROPN
ejpam-6053	1	65	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6053	1	66	18800	18800	NUM
ejpam-6053	1	67	,	,	PUNCT
ejpam-6053	1	68	pakistan	pakistan	PROPN
ejpam-6053	1	69	2	2	NUM
ejpam-6053	1	70	department	department	NOUN
ejpam-6053	1	71	of	of	ADP
ejpam-6053	1	72	mathematics	mathematic	NOUN
ejpam-6053	1	73	and	and	CCONJ
ejpam-6053	1	74	sciences	science	NOUN
ejpam-6053	1	75	,	,	PUNCT
ejpam-6053	1	76	prince	prince	PROPN
ejpam-6053	1	77	sultan	sultan	PROPN
ejpam-6053	1	78	university	university	PROPN
ejpam-6053	1	79	,	,	PUNCT
ejpam-6053	1	80	p.o	p.o	PROPN
ejpam-6053	1	81	.	.	PROPN
ejpam-6053	1	82	box	box	PROPN
ejpam-6053	1	83	66833	66833	NUM
ejpam-6053	1	84	,	,	PUNCT
ejpam-6053	1	85	11586	11586	NUM
ejpam-6053	1	86	riyadh	riyadh	NOUN
ejpam-6053	1	87	,	,	PUNCT
ejpam-6053	1	88	saudi	saudi	PROPN
ejpam-6053	1	89	arabia	arabia	PROPN
ejpam-6053	1	90	abstract	abstract	NOUN
ejpam-6053	1	91	.	.	PUNCT
ejpam-6053	2	1	a	a	DET
ejpam-6053	2	2	virus	virus	NOUN
ejpam-6053	2	3	mutation	mutation	NOUN
ejpam-6053	2	4	model	model	NOUN
ejpam-6053	2	5	under	under	ADP
ejpam-6053	2	6	piecewise	piecewise	NOUN
ejpam-6053	2	7	fractional	fractional	ADJ
ejpam-6053	2	8	order	order	NOUN
ejpam-6053	2	9	derivatives	derivative	NOUN
ejpam-6053	2	10	involving	involve	VERB
ejpam-6053	2	11	mittagleffler	mittagleffler	NOUN
ejpam-6053	2	12	type	type	NOUN
ejpam-6053	2	13	kernel	kernel	NOUN
ejpam-6053	2	14	has	have	AUX
ejpam-6053	2	15	been	be	AUX
ejpam-6053	2	16	studied	study	VERB
ejpam-6053	2	17	in	in	ADP
ejpam-6053	2	18	this	this	DET
ejpam-6053	2	19	manuscript	manuscript	NOUN
ejpam-6053	2	20	.	.	PUNCT
ejpam-6053	3	1	as	as	SCONJ
ejpam-6053	3	2	mutation	mutation	NOUN
ejpam-6053	3	3	is	be	AUX
ejpam-6053	3	4	an	an	DET
ejpam-6053	3	5	important	important	ADJ
ejpam-6053	3	6	phenomenon	phenomenon	NOUN
ejpam-6053	3	7	for	for	ADP
ejpam-6053	3	8	the	the	DET
ejpam-6053	3	9	survival	survival	NOUN
ejpam-6053	3	10	of	of	ADP
ejpam-6053	3	11	virus	virus	NOUN
ejpam-6053	3	12	.	.	PUNCT
ejpam-6053	4	1	the	the	DET
ejpam-6053	4	2	concerned	concerned	ADJ
ejpam-6053	4	3	study	study	NOUN
ejpam-6053	4	4	aims	aim	VERB
ejpam-6053	4	5	to	to	PART
ejpam-6053	4	6	detect	detect	VERB
ejpam-6053	4	7	the	the	DET
ejpam-6053	4	8	crossover	crossover	NOUN
ejpam-6053	4	9	behavior	behavior	NOUN
ejpam-6053	4	10	of	of	ADP
ejpam-6053	4	11	the	the	DET
ejpam-6053	4	12	dynamics	dynamic	NOUN
ejpam-6053	4	13	of	of	ADP
ejpam-6053	4	14	virus	virus	NOUN
ejpam-6053	4	15	mutation	mutation	NOUN
ejpam-6053	4	16	.	.	PUNCT
ejpam-6053	5	1	the	the	DET
ejpam-6053	5	2	considered	consider	VERB
ejpam-6053	5	3	problem	problem	NOUN
ejpam-6053	5	4	explains	explain	VERB
ejpam-6053	5	5	a	a	DET
ejpam-6053	5	6	compartmental	compartmental	ADJ
ejpam-6053	5	7	model	model	NOUN
ejpam-6053	5	8	with	with	ADP
ejpam-6053	5	9	pre	pre	ADJ
ejpam-6053	5	10	and	and	CCONJ
ejpam-6053	5	11	post	post	VERB
ejpam-6053	5	12	mutation	mutation	NOUN
ejpam-6053	5	13	of	of	ADP
ejpam-6053	5	14	virus	virus	NOUN
ejpam-6053	5	15	.	.	PUNCT
ejpam-6053	6	1	fundamental	fundamental	ADJ
ejpam-6053	6	2	results	result	NOUN
ejpam-6053	6	3	related	relate	VERB
ejpam-6053	6	4	to	to	ADP
ejpam-6053	6	5	local	local	ADJ
ejpam-6053	6	6	and	and	CCONJ
ejpam-6053	6	7	global	global	ADJ
ejpam-6053	6	8	stability	stability	NOUN
ejpam-6053	6	9	of	of	ADP
ejpam-6053	6	10	equilibrium	equilibrium	NOUN
ejpam-6053	6	11	points	point	NOUN
ejpam-6053	6	12	have	have	AUX
ejpam-6053	6	13	been	be	AUX
ejpam-6053	6	14	studied	study	VERB
ejpam-6053	6	15	by	by	ADP
ejpam-6053	6	16	using	use	VERB
ejpam-6053	6	17	tools	tool	NOUN
ejpam-6053	6	18	of	of	ADP
ejpam-6053	6	19	nonlinear	nonlinear	ADJ
ejpam-6053	6	20	functional	functional	ADJ
ejpam-6053	6	21	analysis	analysis	NOUN
ejpam-6053	6	22	.	.	PUNCT
ejpam-6053	7	1	we	we	PRON
ejpam-6053	7	2	have	have	AUX
ejpam-6053	7	3	deduced	deduce	VERB
ejpam-6053	7	4	positivity	positivity	NOUN
ejpam-6053	7	5	and	and	CCONJ
ejpam-6053	7	6	feasibility	feasibility	NOUN
ejpam-6053	7	7	of	of	ADP
ejpam-6053	7	8	for	for	ADP
ejpam-6053	7	9	the	the	DET
ejpam-6053	7	10	mentioned	mention	VERB
ejpam-6053	7	11	model	model	NOUN
ejpam-6053	7	12	using	use	VERB
ejpam-6053	7	13	the	the	DET
ejpam-6053	7	14	fractional	fractional	ADJ
ejpam-6053	7	15	order	order	NOUN
ejpam-6053	7	16	derivatives	derivative	NOUN
ejpam-6053	7	17	.	.	PUNCT
ejpam-6053	8	1	in	in	ADP
ejpam-6053	8	2	addition	addition	NOUN
ejpam-6053	8	3	,	,	PUNCT
ejpam-6053	8	4	both	both	CCONJ
ejpam-6053	8	5	trivial	trivial	ADJ
ejpam-6053	8	6	and	and	CCONJ
ejpam-6053	8	7	non	non	ADJ
ejpam-6053	8	8	-	-	ADJ
ejpam-6053	8	9	trivial	trivial	ADJ
ejpam-6053	8	10	equilibrium	equilibrium	NOUN
ejpam-6053	8	11	points	point	NOUN
ejpam-6053	8	12	are	be	AUX
ejpam-6053	8	13	computed	compute	VERB
ejpam-6053	8	14	and	and	CCONJ
ejpam-6053	8	15	reproductive	reproductive	ADJ
ejpam-6053	8	16	number	number	NOUN
ejpam-6053	8	17	is	be	AUX
ejpam-6053	8	18	also	also	ADV
ejpam-6053	8	19	derived	derive	VERB
ejpam-6053	8	20	.	.	PUNCT
ejpam-6053	9	1	with	with	ADP
ejpam-6053	9	2	the	the	DET
ejpam-6053	9	3	help	help	NOUN
ejpam-6053	9	4	of	of	ADP
ejpam-6053	9	5	the	the	DET
ejpam-6053	9	6	considered	consider	VERB
ejpam-6053	9	7	numerical	numerical	ADJ
ejpam-6053	9	8	scheme	scheme	NOUN
ejpam-6053	9	9	based	base	VERB
ejpam-6053	9	10	on	on	ADP
ejpam-6053	9	11	adam	adam	PROPN
ejpam-6053	9	12	bashforth	bashforth	PROPN
ejpam-6053	9	13	method	method	NOUN
ejpam-6053	9	14	,	,	PUNCT
ejpam-6053	9	15	we	we	PRON
ejpam-6053	9	16	have	have	AUX
ejpam-6053	9	17	simulated	simulate	VERB
ejpam-6053	9	18	our	our	PRON
ejpam-6053	9	19	results	result	NOUN
ejpam-6053	9	20	graphically	graphically	ADV
ejpam-6053	9	21	for	for	ADP
ejpam-6053	9	22	using	use	VERB
ejpam-6053	9	23	different	different	ADJ
ejpam-6053	9	24	values	value	NOUN
ejpam-6053	9	25	of	of	ADP
ejpam-6053	9	26	fractional	fractional	ADJ
ejpam-6053	9	27	order	order	NOUN
ejpam-6053	9	28	.	.	PUNCT
ejpam-6053	10	1	2020	2020	NUM
ejpam-6053	10	2	mathematics	mathematic	NOUN
ejpam-6053	10	3	subject	subject	NOUN
ejpam-6053	10	4	classifications	classification	NOUN
ejpam-6053	10	5	:	:	PUNCT
ejpam-6053	10	6	6a33	6a33	NOUN
ejpam-6053	10	7	,	,	PUNCT
ejpam-6053	10	8	34a08	34a08	NUM
ejpam-6053	10	9	,	,	PUNCT
ejpam-6053	10	10	03cxx	03cxx	PROPN
ejpam-6053	10	11	key	key	ADJ
ejpam-6053	10	12	words	word	NOUN
ejpam-6053	10	13	and	and	CCONJ
ejpam-6053	10	14	phrases	phrase	NOUN
ejpam-6053	10	15	:	:	PUNCT
ejpam-6053	10	16	virus	virus	NOUN
ejpam-6053	10	17	mutation	mutation	NOUN
ejpam-6053	10	18	model	model	NOUN
ejpam-6053	10	19	,	,	PUNCT
ejpam-6053	10	20	volteralyapunov	volteralyapunov	ADJ
ejpam-6053	10	21	functions	function	NOUN
ejpam-6053	10	22	,	,	PUNCT
ejpam-6053	10	23	piecewise	piecewise	NOUN
ejpam-6053	10	24	derivative	derivative	NOUN
ejpam-6053	10	25	,	,	PUNCT
ejpam-6053	10	26	global	global	ADJ
ejpam-6053	10	27	stability	stability	NOUN
ejpam-6053	10	28	,	,	PUNCT
ejpam-6053	10	29	numerical	numerical	ADJ
ejpam-6053	10	30	results	result	NOUN
ejpam-6053	10	31	1	1	NUM
ejpam-6053	10	32	.	.	X
ejpam-6053	11	1	introduction	introduction	NOUN
ejpam-6053	11	2	a	a	DET
ejpam-6053	11	3	virus	virus	NOUN
ejpam-6053	11	4	must	must	AUX
ejpam-6053	11	5	undergo	undergo	VERB
ejpam-6053	11	6	mutation	mutation	NOUN
ejpam-6053	11	7	in	in	ADP
ejpam-6053	11	8	order	order	NOUN
ejpam-6053	11	9	to	to	PART
ejpam-6053	11	10	exist	exist	VERB
ejpam-6053	11	11	.	.	PUNCT
ejpam-6053	12	1	according	accord	VERB
ejpam-6053	12	2	to	to	ADP
ejpam-6053	12	3	the	the	DET
ejpam-6053	12	4	study	study	NOUN
ejpam-6053	12	5	of	of	ADP
ejpam-6053	12	6	virology	virology	NOUN
ejpam-6053	12	7	,	,	PUNCT
ejpam-6053	12	8	virus	virus	NOUN
ejpam-6053	12	9	mutation	mutation	NOUN
ejpam-6053	12	10	happens	happen	VERB
ejpam-6053	12	11	naturally	naturally	ADV
ejpam-6053	12	12	and	and	CCONJ
ejpam-6053	12	13	frequently	frequently	ADV
ejpam-6053	12	14	.	.	PUNCT
ejpam-6053	13	1	it	it	PRON
ejpam-6053	13	2	evolved	evolve	VERB
ejpam-6053	13	3	to	to	PART
ejpam-6053	13	4	fit	fit	VERB
ejpam-6053	13	5	its	its	PRON
ejpam-6053	13	6	surroundings	surrounding	NOUN
ejpam-6053	13	7	more	more	ADV
ejpam-6053	13	8	effectively	effectively	ADV
ejpam-6053	13	9	and	and	CCONJ
ejpam-6053	13	10	spread	spread	VERB
ejpam-6053	13	11	from	from	ADP
ejpam-6053	13	12	host	host	NOUN
ejpam-6053	13	13	to	to	ADP
ejpam-6053	13	14	host	host	NOUN
ejpam-6053	13	15	.	.	PUNCT
ejpam-6053	14	1	a	a	DET
ejpam-6053	14	2	mutation	mutation	NOUN
ejpam-6053	14	3	may	may	AUX
ejpam-6053	14	4	improve	improve	VERB
ejpam-6053	14	5	a	a	DET
ejpam-6053	14	6	virus	virus	NOUN
ejpam-6053	14	7	’s	’s	PART
ejpam-6053	14	8	capacity	capacity	NOUN
ejpam-6053	14	9	to	to	PART
ejpam-6053	14	10	quickly	quickly	ADV
ejpam-6053	14	11	multiply	multiply	VERB
ejpam-6053	14	12	or	or	CCONJ
ejpam-6053	14	13	attach	attach	VERB
ejpam-6053	14	14	more	more	ADV
ejpam-6053	14	15	effectively	effectively	ADV
ejpam-6053	14	16	to	to	ADP
ejpam-6053	14	17	the	the	DET
ejpam-6053	14	18	surface	surface	NOUN
ejpam-6053	14	19	of	of	ADP
ejpam-6053	14	20	human	human	ADJ
ejpam-6053	14	21	cells	cell	NOUN
ejpam-6053	14	22	[	[	X
ejpam-6053	14	23	1	1	NUM
ejpam-6053	14	24	]	]	PUNCT
ejpam-6053	14	25	.	.	PUNCT
ejpam-6053	15	1	a	a	DET
ejpam-6053	15	2	virus	virus	NOUN
ejpam-6053	15	3	may	may	AUX
ejpam-6053	15	4	occasionally	occasionally	ADV
ejpam-6053	15	5	be	be	AUX
ejpam-6053	15	6	prevented	prevent	VERB
ejpam-6053	15	7	from	from	ADP
ejpam-6053	15	8	gaining	gain	VERB
ejpam-6053	15	9	characteristics	characteristic	NOUN
ejpam-6053	15	10	that	that	PRON
ejpam-6053	15	11	aid	aid	NOUN
ejpam-6053	15	12	in	in	ADP
ejpam-6053	15	13	transmission	transmission	NOUN
ejpam-6053	15	14	due	due	ADP
ejpam-6053	15	15	to	to	ADP
ejpam-6053	15	16	the	the	DET
ejpam-6053	15	17	rate	rate	NOUN
ejpam-6053	15	18	of	of	ADP
ejpam-6053	15	19	its	its	PRON
ejpam-6053	15	20	mutation	mutation	NOUN
ejpam-6053	15	21	.	.	PUNCT
ejpam-6053	16	1	this	this	PRON
ejpam-6053	16	2	explains	explain	VERB
ejpam-6053	16	3	why	why	SCONJ
ejpam-6053	16	4	viruses	virus	NOUN
ejpam-6053	16	5	can	can	AUX
ejpam-6053	16	6	change	change	VERB
ejpam-6053	16	7	and	and	CCONJ
ejpam-6053	16	8	arise	arise	VERB
ejpam-6053	16	9	,	,	PUNCT
ejpam-6053	16	10	then	then	ADV
ejpam-6053	16	11	vanish	vanish	VERB
ejpam-6053	16	12	.	.	PUNCT
ejpam-6053	17	1	viral	viral	ADJ
ejpam-6053	17	2	alterations	alteration	NOUN
ejpam-6053	17	3	may	may	AUX
ejpam-6053	17	4	be	be	AUX
ejpam-6053	17	5	dangerous	dangerous	ADJ
ejpam-6053	17	6	,	,	PUNCT
ejpam-6053	17	7	especially	especially	ADV
ejpam-6053	17	8	if	if	SCONJ
ejpam-6053	17	9	they	they	PRON
ejpam-6053	17	10	make	make	VERB
ejpam-6053	17	11	it	it	PRON
ejpam-6053	17	12	easier	easy	ADJ
ejpam-6053	17	13	for	for	SCONJ
ejpam-6053	17	14	them	they	PRON
ejpam-6053	17	15	to	to	PART
ejpam-6053	17	16	evade	evade	VERB
ejpam-6053	17	17	the	the	DET
ejpam-6053	17	18	defences	defence	NOUN
ejpam-6053	17	19	of	of	ADP
ejpam-6053	17	20	our	our	PRON
ejpam-6053	17	21	immune	immune	ADJ
ejpam-6053	17	22	system	system	NOUN
ejpam-6053	17	23	.	.	PUNCT
ejpam-6053	18	1	they	they	PRON
ejpam-6053	18	2	mutate	mutate	VERB
ejpam-6053	18	3	often	often	ADV
ejpam-6053	18	4	due	due	ADP
ejpam-6053	18	5	to	to	ADP
ejpam-6053	18	6	viral	viral	ADJ
ejpam-6053	18	7	mutation	mutation	NOUN
ejpam-6053	18	8	.	.	PUNCT
ejpam-6053	19	1	these	these	DET
ejpam-6053	19	2	changes	change	NOUN
ejpam-6053	19	3	∗corresponding	∗corresponde	VERB
ejpam-6053	19	4	author	author	NOUN
ejpam-6053	19	5	.	.	PUNCT
ejpam-6053	20	1	doi	doi	NOUN
ejpam-6053	20	2	:	:	PUNCT
ejpam-6053	20	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6053	https://doi.org/10.29020/nybg.ejpam.v18i2.6053	ADJ
ejpam-6053	20	4	email	email	NOUN
ejpam-6053	20	5	addresses	address	NOUN
ejpam-6053	20	6	:	:	PUNCT
ejpam-6053	20	7	ehuzaifa@gmail.com	ehuzaifa@gmail.com	X
ejpam-6053	20	8	(	(	PUNCT
ejpam-6053	20	9	eiman	eiman	NOUN
ejpam-6053	20	10	)	)	PUNCT
ejpam-6053	20	11	,	,	PUNCT
ejpam-6053	20	12	kshah@psu.edu.sa	kshah@psu.edu.sa	PROPN
ejpam-6053	20	13	(	(	PUNCT
ejpam-6053	20	14	k.	k.	NOUN
ejpam-6053	20	15	shah	shah	PROPN
ejpam-6053	20	16	)	)	PUNCT
ejpam-6053	20	17	,	,	PUNCT
ejpam-6053	20	18	sarwarswati@gmail.com	sarwarswati@gmail.com	X
ejpam-6053	20	19	(	(	PUNCT
ejpam-6053	20	20	m.sarwar	m.sarwar	ADJ
ejpam-6053	20	21	)	)	PUNCT
ejpam-6053	20	22	,	,	PUNCT
ejpam-6053	20	23	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-6053	20	24	(	(	PUNCT
ejpam-6053	20	25	t.	t.	NOUN
ejpam-6053	20	26	abdeljawad	abdeljawad	PROPN
ejpam-6053	20	27	)	)	PUNCT
ejpam-6053	20	28	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6053	20	29	1	1	NUM
ejpam-6053	20	30	copyright	copyright	NOUN
ejpam-6053	20	31	:	:	PUNCT
ejpam-6053	21	1	©	©	PROPN
ejpam-6053	21	2	2025	2025	NUM
ejpam-6053	21	3	the	the	DET
ejpam-6053	21	4	author(s	author(s	NOUN
ejpam-6053	21	5	)	)	PUNCT
ejpam-6053	21	6	.	.	PUNCT
ejpam-6053	22	1	(	(	PUNCT
ejpam-6053	22	2	cc	cc	NOUN
ejpam-6053	22	3	by	by	ADP
ejpam-6053	22	4	-	-	PUNCT
ejpam-6053	22	5	nc	nc	PROPN
ejpam-6053	22	6	4.0	4.0	NUM
ejpam-6053	22	7	)	)	PUNCT
ejpam-6053	22	8	eiman	eiman	NOUN
ejpam-6053	22	9	et	et	PROPN
ejpam-6053	22	10	al	al	PROPN
ejpam-6053	22	11	.	.	PUNCT
ejpam-6053	22	12	/	/	SYM
ejpam-6053	22	13	eur	eur	PROPN
ejpam-6053	22	14	.	.	PUNCT
ejpam-6053	23	1	j.	j.	PROPN
ejpam-6053	23	2	pure	pure	PROPN
ejpam-6053	23	3	appl	appl	PROPN
ejpam-6053	23	4	.	.	PROPN
ejpam-6053	23	5	math	math	PROPN
ejpam-6053	23	6	,	,	PUNCT
ejpam-6053	23	7	18	18	NUM
ejpam-6053	23	8	(	(	PUNCT
ejpam-6053	23	9	2	2	NUM
ejpam-6053	23	10	)	)	PUNCT
ejpam-6053	23	11	(	(	PUNCT
ejpam-6053	23	12	2025	2025	NUM
ejpam-6053	23	13	)	)	PUNCT
ejpam-6053	23	14	,	,	PUNCT
ejpam-6053	23	15	6053	6053	NUM
ejpam-6053	23	16	2	2	NUM
ejpam-6053	23	17	of	of	ADP
ejpam-6053	23	18	26	26	NUM
ejpam-6053	23	19	and	and	CCONJ
ejpam-6053	23	20	adjustments	adjustment	NOUN
ejpam-6053	23	21	encourage	encourage	VERB
ejpam-6053	23	22	the	the	DET
ejpam-6053	23	23	virus	virus	NOUN
ejpam-6053	23	24	’s	’s	PART
ejpam-6053	23	25	enhanced	enhance	VERB
ejpam-6053	23	26	spread	spread	NOUN
ejpam-6053	24	1	[	[	X
ejpam-6053	24	2	2	2	NUM
ejpam-6053	24	3	]	]	PUNCT
ejpam-6053	24	4	.	.	PUNCT
ejpam-6053	25	1	clinics	clinic	NOUN
ejpam-6053	25	2	can	can	AUX
ejpam-6053	25	3	illustrates	illustrate	VERB
ejpam-6053	25	4	the	the	DET
ejpam-6053	25	5	importance	importance	NOUN
ejpam-6053	25	6	of	of	ADP
ejpam-6053	25	7	viral	viral	ADJ
ejpam-6053	25	8	mutation	mutation	NOUN
ejpam-6053	25	9	rates	rate	NOUN
ejpam-6053	25	10	with	with	ADP
ejpam-6053	25	11	anti	anti	ADJ
ejpam-6053	25	12	-	-	ADJ
ejpam-6053	25	13	hiv	hiv	ADJ
ejpam-6053	25	14	therapy	therapy	NOUN
ejpam-6053	25	15	histories	history	NOUN
ejpam-6053	25	16	.	.	PUNCT
ejpam-6053	26	1	azidothymidine	azidothymidine	NOUN
ejpam-6053	26	2	(	(	PUNCT
ejpam-6053	26	3	azt	azt	PROPN
ejpam-6053	26	4	)	)	PUNCT
ejpam-6053	26	5	,	,	PUNCT
ejpam-6053	26	6	a	a	DET
ejpam-6053	26	7	nucleoside	nucleoside	ADJ
ejpam-6053	26	8	analogue	analogue	NOUN
ejpam-6053	26	9	,	,	PUNCT
ejpam-6053	26	10	was	be	AUX
ejpam-6053	26	11	the	the	DET
ejpam-6053	26	12	first	first	ADJ
ejpam-6053	26	13	anti	anti	ADJ
ejpam-6053	26	14	-	-	ADJ
ejpam-6053	26	15	hiv	hiv	ADJ
ejpam-6053	26	16	therapy	therapy	NOUN
ejpam-6053	26	17	to	to	PART
ejpam-6053	26	18	be	be	AUX
ejpam-6053	26	19	approved	approve	VERB
ejpam-6053	26	20	;	;	PUNCT
ejpam-6053	26	21	unfortunately	unfortunately	ADV
ejpam-6053	26	22	,	,	PUNCT
ejpam-6053	26	23	drugresistant	drugresistant	NOUN
ejpam-6053	26	24	variants	variant	NOUN
ejpam-6053	26	25	soon	soon	ADV
ejpam-6053	26	26	made	make	VERB
ejpam-6053	26	27	azt	azt	PROPN
ejpam-6053	26	28	ineffective	ineffective	ADJ
ejpam-6053	26	29	.	.	PUNCT
ejpam-6053	27	1	every	every	DET
ejpam-6053	27	2	base	base	NOUN
ejpam-6053	27	3	-	-	PUNCT
ejpam-6053	27	4	on	on	ADP
ejpam-6053	27	5	-	-	PUNCT
ejpam-6053	27	6	single	single	ADJ
ejpam-6053	27	7	substitution	substitution	NOUN
ejpam-6053	27	8	,	,	PUNCT
ejpam-6053	27	9	including	include	VERB
ejpam-6053	27	10	resistance	resistance	NOUN
ejpam-6053	27	11	-	-	PUNCT
ejpam-6053	27	12	causing	cause	VERB
ejpam-6053	27	13	mutations	mutation	NOUN
ejpam-6053	27	14	the	the	DET
ejpam-6053	27	15	hiv-1	hiv-1	ADJ
ejpam-6053	27	16	virus	virus	NOUN
ejpam-6053	27	17	,	,	PUNCT
ejpam-6053	27	18	which	which	PRON
ejpam-6053	27	19	is	be	AUX
ejpam-6053	27	20	continually	continually	ADV
ejpam-6053	27	21	developing	develop	VERB
ejpam-6053	27	22	inside	inside	ADV
ejpam-6053	27	23	of	of	ADP
ejpam-6053	27	24	a	a	DET
ejpam-6053	27	25	patient	patient	NOUN
ejpam-6053	27	26	,	,	PUNCT
ejpam-6053	27	27	produces	produce	VERB
ejpam-6053	27	28	azt	azt	PROPN
ejpam-6053	27	29	every	every	DET
ejpam-6053	27	30	day	day	NOUN
ejpam-6053	27	31	.	.	PUNCT
ejpam-6053	28	1	the	the	DET
ejpam-6053	28	2	subsequent	subsequent	ADJ
ejpam-6053	28	3	success	success	NOUN
ejpam-6053	28	4	of	of	ADP
ejpam-6053	28	5	highly	highly	ADV
ejpam-6053	28	6	active	active	ADJ
ejpam-6053	28	7	antiretroviral	antiretroviral	ADJ
ejpam-6053	28	8	therapy	therapy	NOUN
ejpam-6053	28	9	rested	rest	VERB
ejpam-6053	28	10	more	more	ADV
ejpam-6053	28	11	on	on	ADP
ejpam-6053	28	12	carefully	carefully	ADV
ejpam-6053	28	13	combining	combine	VERB
ejpam-6053	28	14	other	other	ADJ
ejpam-6053	28	15	drugs	drug	NOUN
ejpam-6053	28	16	,	,	PUNCT
ejpam-6053	28	17	such	such	ADJ
ejpam-6053	28	18	as	as	ADP
ejpam-6053	28	19	azt	azt	PROPN
ejpam-6053	28	20	,	,	PUNCT
ejpam-6053	28	21	to	to	PART
ejpam-6053	28	22	lower	lower	VERB
ejpam-6053	28	23	the	the	DET
ejpam-6053	28	24	risk	risk	NOUN
ejpam-6053	28	25	of	of	ADP
ejpam-6053	28	26	resistance	resistance	NOUN
ejpam-6053	28	27	mutations	mutation	NOUN
ejpam-6053	28	28	arising	arise	VERB
ejpam-6053	28	29	,	,	PUNCT
ejpam-6053	28	30	than	than	SCONJ
ejpam-6053	28	31	it	it	PRON
ejpam-6053	28	32	did	do	AUX
ejpam-6053	28	33	on	on	ADP
ejpam-6053	28	34	simply	simply	ADV
ejpam-6053	28	35	increasing	increase	VERB
ejpam-6053	28	36	the	the	DET
ejpam-6053	28	37	potency	potency	NOUN
ejpam-6053	28	38	of	of	ADP
ejpam-6053	28	39	the	the	DET
ejpam-6053	28	40	medicine	medicine	NOUN
ejpam-6053	28	41	.	.	PUNCT
ejpam-6053	29	1	the	the	DET
ejpam-6053	29	2	hepatitis	hepatitis	PROPN
ejpam-6053	29	3	c	c	PROPN
ejpam-6053	29	4	virus	virus	NOUN
ejpam-6053	29	5	(	(	PUNCT
ejpam-6053	29	6	hcv	hcv	PROPN
ejpam-6053	29	7	)	)	PUNCT
ejpam-6053	29	8	and	and	CCONJ
ejpam-6053	29	9	other	other	ADJ
ejpam-6053	29	10	rapidly	rapidly	ADV
ejpam-6053	29	11	developing	develop	VERB
ejpam-6053	29	12	viruses	virus	NOUN
ejpam-6053	29	13	are	be	AUX
ejpam-6053	29	14	qualitatively	qualitatively	ADV
ejpam-6053	29	15	similar	similar	ADJ
ejpam-6053	29	16	to	to	ADP
ejpam-6053	29	17	one	one	NUM
ejpam-6053	29	18	another	another	DET
ejpam-6053	29	19	.	.	PUNCT
ejpam-6053	30	1	protease	protease	NOUN
ejpam-6053	30	2	inhibitor	inhibitor	NOUN
ejpam-6053	30	3	and	and	CCONJ
ejpam-6053	30	4	non	non	ADJ
ejpam-6053	30	5	-	-	ADJ
ejpam-6053	30	6	nucleoside	nucleoside	ADJ
ejpam-6053	30	7	polymerase	polymerase	NOUN
ejpam-6053	30	8	inhibitor	inhibitor	NOUN
ejpam-6053	30	9	resistance	resistance	NOUN
ejpam-6053	30	10	pre	pre	VERB
ejpam-6053	30	11	-	-	VERB
ejpam-6053	30	12	exists	exist	VERB
ejpam-6053	30	13	naturally	naturally	ADV
ejpam-6053	30	14	in	in	ADP
ejpam-6053	30	15	individuals	individual	NOUN
ejpam-6053	30	16	who	who	PRON
ejpam-6053	30	17	have	have	AUX
ejpam-6053	30	18	never	never	ADV
ejpam-6053	30	19	had	have	VERB
ejpam-6053	30	20	treatment	treatment	NOUN
ejpam-6053	30	21	,	,	PUNCT
ejpam-6053	30	22	or	or	CCONJ
ejpam-6053	30	23	in	in	ADP
ejpam-6053	30	24	the	the	DET
ejpam-6053	30	25	absence	absence	NOUN
ejpam-6053	30	26	of	of	ADP
ejpam-6053	30	27	selection	selection	NOUN
ejpam-6053	30	28	favoring	favor	VERB
ejpam-6053	30	29	these	these	DET
ejpam-6053	30	30	mutations	mutation	NOUN
ejpam-6053	30	31	,	,	PUNCT
ejpam-6053	30	32	according	accord	VERB
ejpam-6053	30	33	to	to	ADP
ejpam-6053	30	34	a	a	DET
ejpam-6053	30	35	population	population	NOUN
ejpam-6053	30	36	sequencing	sequence	VERB
ejpam-6053	30	37	study	study	NOUN
ejpam-6053	30	38	.	.	PUNCT
ejpam-6053	31	1	some	some	DET
ejpam-6053	31	2	clinical	clinical	ADJ
ejpam-6053	31	3	studies	study	NOUN
ejpam-6053	31	4	,	,	PUNCT
ejpam-6053	31	5	we	we	PRON
ejpam-6053	31	6	refer	refer	VERB
ejpam-6053	31	7	to	to	ADP
ejpam-6053	31	8	[	[	X
ejpam-6053	31	9	3–5	3–5	NOUN
ejpam-6053	31	10	]	]	PUNCT
ejpam-6053	31	11	.	.	PUNCT
ejpam-6053	32	1	a	a	DET
ejpam-6053	32	2	similar	similar	ADJ
ejpam-6053	32	3	scenario	scenario	NOUN
ejpam-6053	32	4	applies	apply	VERB
ejpam-6053	32	5	to	to	ADP
ejpam-6053	32	6	antiviral	antiviral	ADJ
ejpam-6053	32	7	immunity	immunity	NOUN
ejpam-6053	32	8	.	.	PUNCT
ejpam-6053	33	1	high	high	ADJ
ejpam-6053	33	2	mutation	mutation	NOUN
ejpam-6053	33	3	rates	rate	NOUN
ejpam-6053	33	4	increase	increase	VERB
ejpam-6053	33	5	the	the	DET
ejpam-6053	33	6	likelihood	likelihood	NOUN
ejpam-6053	33	7	that	that	SCONJ
ejpam-6053	33	8	a	a	DET
ejpam-6053	33	9	virus	virus	NOUN
ejpam-6053	33	10	will	will	AUX
ejpam-6053	33	11	effectively	effectively	ADV
ejpam-6053	33	12	evade	evade	VERB
ejpam-6053	33	13	immunity	immunity	NOUN
ejpam-6053	33	14	.	.	PUNCT
ejpam-6053	34	1	hepatitis	hepatitis	PROPN
ejpam-6053	34	2	b	b	PROPN
ejpam-6053	34	3	virus	virus	NOUN
ejpam-6053	34	4	(	(	PUNCT
ejpam-6053	34	5	hbv	hbv	NOUN
ejpam-6053	34	6	)	)	PUNCT
ejpam-6053	34	7	,	,	PUNCT
ejpam-6053	34	8	hcv	hcv	PROPN
ejpam-6053	34	9	,	,	PUNCT
ejpam-6053	34	10	and	and	CCONJ
ejpam-6053	34	11	hiv-1	hiv-1	X
ejpam-6053	34	12	are	be	AUX
ejpam-6053	34	13	three	three	NUM
ejpam-6053	34	14	rapidly	rapidly	ADV
ejpam-6053	34	15	evolving	evolve	VERB
ejpam-6053	34	16	viruses	virus	NOUN
ejpam-6053	34	17	that	that	PRON
ejpam-6053	34	18	can	can	AUX
ejpam-6053	34	19	result	result	VERB
ejpam-6053	34	20	in	in	ADP
ejpam-6053	34	21	chronic	chronic	ADJ
ejpam-6053	34	22	infections	infection	NOUN
ejpam-6053	34	23	.	.	PUNCT
ejpam-6053	35	1	these	these	DET
ejpam-6053	35	2	viruses	virus	NOUN
ejpam-6053	35	3	frequently	frequently	ADV
ejpam-6053	35	4	evade	evade	VERB
ejpam-6053	35	5	antibodies	antibody	NOUN
ejpam-6053	35	6	as	as	ADV
ejpam-6053	35	7	well	well	ADV
ejpam-6053	35	8	as	as	ADP
ejpam-6053	35	9	cytotoxic	cytotoxic	ADJ
ejpam-6053	35	10	t	t	NOUN
ejpam-6053	35	11	lymphocytes	lymphocyte	VERB
ejpam-6053	35	12	(	(	PUNCT
ejpam-6053	35	13	ctl	ctl	PROPN
ejpam-6053	35	14	)	)	PUNCT
ejpam-6053	35	15	.	.	PUNCT
ejpam-6053	36	1	point	point	NOUN
ejpam-6053	36	2	mutations	mutation	NOUN
ejpam-6053	36	3	in	in	ADP
ejpam-6053	36	4	hbv	hbv	NOUN
ejpam-6053	36	5	,	,	PUNCT
ejpam-6053	36	6	the	the	DET
ejpam-6053	36	7	most	most	ADV
ejpam-6053	36	8	common	common	ADJ
ejpam-6053	36	9	cause	cause	NOUN
ejpam-6053	36	10	of	of	ADP
ejpam-6053	36	11	hepatitis	hepatitis	NOUN
ejpam-6053	36	12	worldwide	worldwide	ADV
ejpam-6053	36	13	with	with	ADP
ejpam-6053	36	14	about	about	ADP
ejpam-6053	36	15	350	350	NUM
ejpam-6053	36	16	million	million	NUM
ejpam-6053	36	17	chronic	chronic	ADJ
ejpam-6053	36	18	carriers	carrier	NOUN
ejpam-6053	36	19	,	,	PUNCT
ejpam-6053	36	20	have	have	AUX
ejpam-6053	36	21	been	be	AUX
ejpam-6053	36	22	associated	associate	VERB
ejpam-6053	36	23	with	with	ADP
ejpam-6053	36	24	immunological	immunological	ADJ
ejpam-6053	36	25	escape	escape	NOUN
ejpam-6053	36	26	and	and	CCONJ
ejpam-6053	36	27	vaccine	vaccine	NOUN
ejpam-6053	36	28	failure	failure	NOUN
ejpam-6053	36	29	[	[	X
ejpam-6053	36	30	6	6	NUM
ejpam-6053	36	31	]	]	PUNCT
ejpam-6053	36	32	.	.	PUNCT
ejpam-6053	37	1	the	the	DET
ejpam-6053	37	2	most	most	ADV
ejpam-6053	37	3	famous	famous	ADJ
ejpam-6053	37	4	example	example	NOUN
ejpam-6053	37	5	is	be	AUX
ejpam-6053	37	6	the	the	DET
ejpam-6053	37	7	influenza	influenza	NOUN
ejpam-6053	37	8	virus	virus	NOUN
ejpam-6053	37	9	which	which	PRON
ejpam-6053	37	10	mutates	mutate	VERB
ejpam-6053	37	11	every	every	DET
ejpam-6053	37	12	year	year	NOUN
ejpam-6053	37	13	to	to	PART
ejpam-6053	37	14	produce	produce	VERB
ejpam-6053	37	15	new	new	ADJ
ejpam-6053	37	16	strains	strain	NOUN
ejpam-6053	37	17	that	that	PRON
ejpam-6053	37	18	require	require	VERB
ejpam-6053	37	19	yearly	yearly	ADJ
ejpam-6053	37	20	adjustments	adjustment	NOUN
ejpam-6053	37	21	to	to	ADP
ejpam-6053	37	22	the	the	DET
ejpam-6053	37	23	vaccine	vaccine	NOUN
ejpam-6053	37	24	.	.	PUNCT
ejpam-6053	38	1	it	it	PRON
ejpam-6053	38	2	is	be	AUX
ejpam-6053	38	3	possible	possible	ADJ
ejpam-6053	38	4	to	to	PART
ejpam-6053	38	5	get	get	AUX
ejpam-6053	38	6	vaccinated	vaccinate	VERB
ejpam-6053	38	7	against	against	ADP
ejpam-6053	38	8	the	the	DET
ejpam-6053	38	9	flu	flu	NOUN
ejpam-6053	38	10	.	.	PUNCT
ejpam-6053	39	1	it	it	PRON
ejpam-6053	39	2	is	be	AUX
ejpam-6053	39	3	well	well	ADV
ejpam-6053	39	4	known	know	VERB
ejpam-6053	39	5	that	that	SCONJ
ejpam-6053	39	6	the	the	DET
ejpam-6053	39	7	influenza	influenza	PROPN
ejpam-6053	39	8	virus	virus	NOUN
ejpam-6053	39	9	rna	rna	NOUN
ejpam-6053	39	10	-	-	PUNCT
ejpam-6053	39	11	polymerase	polymerase	NOUN
ejpam-6053	39	12	lacks	lack	VERB
ejpam-6053	39	13	a	a	DET
ejpam-6053	39	14	proofreading	proofreading	NOUN
ejpam-6053	39	15	component	component	NOUN
ejpam-6053	39	16	.	.	PUNCT
ejpam-6053	40	1	consequently	consequently	ADV
ejpam-6053	40	2	,	,	PUNCT
ejpam-6053	40	3	during	during	ADP
ejpam-6053	40	4	viral	viral	ADJ
ejpam-6053	40	5	replication	replication	NOUN
ejpam-6053	40	6	,	,	PUNCT
ejpam-6053	40	7	faulty	faulty	ADJ
ejpam-6053	40	8	nucleotides	nucleotide	NOUN
ejpam-6053	40	9	are	be	AUX
ejpam-6053	40	10	often	often	ADV
ejpam-6053	40	11	integrated	integrate	VERB
ejpam-6053	40	12	at	at	ADP
ejpam-6053	40	13	a	a	DET
ejpam-6053	40	14	rate	rate	NOUN
ejpam-6053	40	15	of	of	ADP
ejpam-6053	40	16	103	103	NUM
ejpam-6053	40	17	to	to	ADP
ejpam-6053	40	18	104	104	NUM
ejpam-6053	40	19	,	,	PUNCT
ejpam-6053	40	20	resulting	result	VERB
ejpam-6053	40	21	in	in	ADP
ejpam-6053	40	22	notable	notable	ADJ
ejpam-6053	40	23	mutation	mutation	NOUN
ejpam-6053	40	24	rates	rate	NOUN
ejpam-6053	40	25	[	[	X
ejpam-6053	40	26	7	7	NUM
ejpam-6053	40	27	]	]	PUNCT
ejpam-6053	40	28	.	.	PUNCT
ejpam-6053	41	1	in	in	ADP
ejpam-6053	41	2	order	order	NOUN
ejpam-6053	41	3	to	to	PART
ejpam-6053	41	4	prevent	prevent	VERB
ejpam-6053	41	5	the	the	DET
ejpam-6053	41	6	chance	chance	NOUN
ejpam-6053	41	7	of	of	ADP
ejpam-6053	41	8	future	future	ADJ
ejpam-6053	41	9	mutation	mutation	NOUN
ejpam-6053	41	10	and	and	CCONJ
ejpam-6053	41	11	to	to	PART
ejpam-6053	41	12	prevent	prevent	VERB
ejpam-6053	41	13	falling	fall	VERB
ejpam-6053	41	14	ill	ill	ADV
ejpam-6053	41	15	in	in	ADP
ejpam-6053	41	16	the	the	DET
ejpam-6053	41	17	first	first	ADJ
ejpam-6053	41	18	place	place	NOUN
ejpam-6053	41	19	,	,	PUNCT
ejpam-6053	41	20	patients	patient	NOUN
ejpam-6053	41	21	are	be	AUX
ejpam-6053	41	22	continuously	continuously	ADV
ejpam-6053	41	23	advised	advise	VERB
ejpam-6053	41	24	to	to	PART
ejpam-6053	41	25	receive	receive	VERB
ejpam-6053	41	26	their	their	PRON
ejpam-6053	41	27	flu	flu	NOUN
ejpam-6053	41	28	shots	shot	NOUN
ejpam-6053	41	29	.	.	PUNCT
ejpam-6053	42	1	thus	thus	ADV
ejpam-6053	42	2	,	,	PUNCT
ejpam-6053	42	3	the	the	DET
ejpam-6053	42	4	design	design	NOUN
ejpam-6053	42	5	of	of	ADP
ejpam-6053	42	6	antiviral	antiviral	ADJ
ejpam-6053	42	7	techniques	technique	NOUN
ejpam-6053	42	8	is	be	AUX
ejpam-6053	42	9	significantly	significantly	ADV
ejpam-6053	42	10	influenced	influence	VERB
ejpam-6053	42	11	by	by	ADP
ejpam-6053	42	12	viral	viral	ADJ
ejpam-6053	42	13	genetic	genetic	ADJ
ejpam-6053	42	14	diversity	diversity	NOUN
ejpam-6053	42	15	,	,	PUNCT
ejpam-6053	42	16	which	which	PRON
ejpam-6053	42	17	is	be	AUX
ejpam-6053	42	18	ultimately	ultimately	ADV
ejpam-6053	42	19	dictated	dictate	VERB
ejpam-6053	42	20	by	by	ADP
ejpam-6053	42	21	mutation	mutation	NOUN
ejpam-6053	42	22	rates	rate	NOUN
ejpam-6053	42	23	[	[	X
ejpam-6053	42	24	8	8	NUM
ejpam-6053	42	25	]	]	PUNCT
ejpam-6053	42	26	.	.	PUNCT
ejpam-6053	43	1	actually	actually	ADV
ejpam-6053	43	2	,	,	PUNCT
ejpam-6053	43	3	the	the	DET
ejpam-6053	43	4	phrase	phrase	NOUN
ejpam-6053	43	5	”	"	PUNCT
ejpam-6053	43	6	virus	virus	NOUN
ejpam-6053	43	7	mutation	mutation	NOUN
ejpam-6053	43	8	”	"	PUNCT
ejpam-6053	43	9	describes	describe	VERB
ejpam-6053	43	10	genetic	genetic	ADJ
ejpam-6053	43	11	changes	change	NOUN
ejpam-6053	43	12	that	that	PRON
ejpam-6053	43	13	occur	occur	VERB
ejpam-6053	43	14	in	in	ADP
ejpam-6053	43	15	the	the	DET
ejpam-6053	43	16	genetic	genetic	ADJ
ejpam-6053	43	17	material	material	NOUN
ejpam-6053	43	18	of	of	ADP
ejpam-6053	43	19	a	a	DET
ejpam-6053	43	20	virus	virus	NOUN
ejpam-6053	43	21	,	,	PUNCT
ejpam-6053	43	22	which	which	PRON
ejpam-6053	43	23	is	be	AUX
ejpam-6053	43	24	usually	usually	ADV
ejpam-6053	43	25	rna	rna	NOUN
ejpam-6053	43	26	or	or	CCONJ
ejpam-6053	43	27	dna	dna	NOUN
ejpam-6053	44	1	[	[	X
ejpam-6053	44	2	9	9	NUM
ejpam-6053	44	3	]	]	PUNCT
ejpam-6053	44	4	.	.	PUNCT
ejpam-6053	45	1	these	these	DET
ejpam-6053	45	2	changes	change	NOUN
ejpam-6053	45	3	result	result	VERB
ejpam-6053	45	4	in	in	ADP
ejpam-6053	45	5	a	a	DET
ejpam-6053	45	6	new	new	ADJ
ejpam-6053	45	7	strain	strain	NOUN
ejpam-6053	45	8	of	of	ADP
ejpam-6053	45	9	the	the	DET
ejpam-6053	45	10	virus	virus	NOUN
ejpam-6053	45	11	or	or	CCONJ
ejpam-6053	45	12	variations	variation	NOUN
ejpam-6053	45	13	in	in	ADP
ejpam-6053	45	14	its	its	PRON
ejpam-6053	45	15	genetic	genetic	ADJ
ejpam-6053	45	16	composition	composition	NOUN
ejpam-6053	45	17	and	and	CCONJ
ejpam-6053	45	18	characteristics	characteristic	NOUN
ejpam-6053	45	19	which	which	PRON
ejpam-6053	45	20	raise	raise	VERB
ejpam-6053	45	21	questions	question	NOUN
ejpam-6053	45	22	regarding	regard	VERB
ejpam-6053	45	23	the	the	DET
ejpam-6053	45	24	virus	virus	NOUN
ejpam-6053	45	25	’s	’s	PART
ejpam-6053	45	26	possible	possible	ADJ
ejpam-6053	45	27	impact	impact	NOUN
ejpam-6053	45	28	on	on	ADP
ejpam-6053	45	29	the	the	DET
ejpam-6053	45	30	severity	severity	NOUN
ejpam-6053	45	31	of	of	ADP
ejpam-6053	45	32	the	the	DET
ejpam-6053	45	33	disease	disease	NOUN
ejpam-6053	45	34	,	,	PUNCT
ejpam-6053	45	35	the	the	DET
ejpam-6053	45	36	efficacy	efficacy	NOUN
ejpam-6053	45	37	of	of	ADP
ejpam-6053	45	38	vaccinations	vaccination	NOUN
ejpam-6053	45	39	,	,	PUNCT
ejpam-6053	45	40	available	available	ADJ
ejpam-6053	45	41	treatments	treatment	NOUN
ejpam-6053	45	42	,	,	PUNCT
ejpam-6053	45	43	and	and	CCONJ
ejpam-6053	45	44	its	its	PRON
ejpam-6053	45	45	ability	ability	NOUN
ejpam-6053	45	46	to	to	PART
ejpam-6053	45	47	weaken	weaken	VERB
ejpam-6053	45	48	the	the	DET
ejpam-6053	45	49	host	host	NOUN
ejpam-6053	45	50	’s	’s	PART
ejpam-6053	45	51	immune	immune	ADJ
ejpam-6053	45	52	system	system	NOUN
ejpam-6053	45	53	.	.	PUNCT
ejpam-6053	46	1	since	since	SCONJ
ejpam-6053	46	2	rna	rna	NOUN
ejpam-6053	46	3	replication	replication	NOUN
ejpam-6053	46	4	enzymes	enzyme	NOUN
ejpam-6053	46	5	are	be	AUX
ejpam-6053	46	6	not	not	PART
ejpam-6053	46	7	as	as	ADV
ejpam-6053	46	8	capable	capable	ADJ
ejpam-6053	46	9	of	of	ADP
ejpam-6053	46	10	proofreading	proofreading	NOUN
ejpam-6053	46	11	as	as	ADP
ejpam-6053	46	12	dna	dna	PROPN
ejpam-6053	46	13	polymerase	polymerase	NOUN
ejpam-6053	46	14	,	,	PUNCT
ejpam-6053	46	15	rna	rna	NOUN
ejpam-6053	46	16	viruses	virus	NOUN
ejpam-6053	46	17	such	such	ADJ
ejpam-6053	46	18	as	as	ADP
ejpam-6053	46	19	hiv	hiv	PROPN
ejpam-6053	46	20	and	and	CCONJ
ejpam-6053	46	21	influenza	influenza	NOUN
ejpam-6053	46	22	have	have	VERB
ejpam-6053	46	23	a	a	DET
ejpam-6053	46	24	tendency	tendency	NOUN
ejpam-6053	46	25	to	to	PART
ejpam-6053	46	26	mutate	mutate	VERB
ejpam-6053	46	27	more	more	ADV
ejpam-6053	46	28	frequently	frequently	ADV
ejpam-6053	46	29	than	than	ADP
ejpam-6053	46	30	dna	dna	PROPN
ejpam-6053	46	31	viruses	virus	NOUN
ejpam-6053	46	32	,	,	PUNCT
ejpam-6053	46	33	which	which	PRON
ejpam-6053	46	34	include	include	VERB
ejpam-6053	46	35	smallpox	smallpox	NOUN
ejpam-6053	46	36	.	.	PUNCT
ejpam-6053	47	1	the	the	DET
ejpam-6053	47	2	hosts	host	NOUN
ejpam-6053	47	3	’	’	PART
ejpam-6053	47	4	immune	immune	ADJ
ejpam-6053	47	5	system	system	NOUN
ejpam-6053	47	6	,	,	PUNCT
ejpam-6053	47	7	ultra	ultra	ADJ
ejpam-6053	47	8	violet	violet	ADJ
ejpam-6053	47	9	radiation	radiation	NOUN
ejpam-6053	47	10	,	,	PUNCT
ejpam-6053	47	11	and	and	CCONJ
ejpam-6053	47	12	chemicals	chemical	NOUN
ejpam-6053	47	13	are	be	AUX
ejpam-6053	47	14	the	the	DET
ejpam-6053	47	15	main	main	ADJ
ejpam-6053	47	16	causes	cause	NOUN
ejpam-6053	47	17	of	of	ADP
ejpam-6053	47	18	viral	viral	ADJ
ejpam-6053	47	19	modifications	modification	NOUN
ejpam-6053	47	20	[	[	X
ejpam-6053	47	21	10	10	NUM
ejpam-6053	47	22	,	,	PUNCT
ejpam-6053	47	23	11	11	NUM
ejpam-6053	47	24	]	]	PUNCT
ejpam-6053	47	25	.	.	PUNCT
ejpam-6053	48	1	precise	precise	ADJ
ejpam-6053	48	2	estimates	estimate	NOUN
ejpam-6053	48	3	of	of	ADP
ejpam-6053	48	4	virus	virus	NOUN
ejpam-6053	48	5	mutation	mutation	NOUN
ejpam-6053	48	6	rates	rate	NOUN
ejpam-6053	48	7	are	be	AUX
ejpam-6053	48	8	crucial	crucial	ADJ
ejpam-6053	48	9	to	to	ADP
ejpam-6053	48	10	our	our	PRON
ejpam-6053	48	11	understanding	understanding	NOUN
ejpam-6053	48	12	of	of	ADP
ejpam-6053	48	13	how	how	SCONJ
ejpam-6053	48	14	viruses	virus	NOUN
ejpam-6053	48	15	evolve	evolve	VERB
ejpam-6053	48	16	and	and	CCONJ
ejpam-6053	48	17	their	their	PRON
ejpam-6053	48	18	defence	defence	NOUN
ejpam-6053	48	19	.	.	PUNCT
ejpam-6053	49	1	scientists	scientist	NOUN
ejpam-6053	49	2	and	and	CCONJ
ejpam-6053	49	3	researchers	researcher	NOUN
ejpam-6053	49	4	closely	closely	ADV
ejpam-6053	49	5	monitor	monitor	VERB
ejpam-6053	49	6	changes	change	NOUN
ejpam-6053	49	7	to	to	ADP
ejpam-6053	49	8	viruses	virus	NOUN
ejpam-6053	49	9	,	,	PUNCT
ejpam-6053	49	10	especially	especially	ADV
ejpam-6053	49	11	those	those	PRON
ejpam-6053	49	12	like	like	ADP
ejpam-6053	49	13	sars	sar	NOUN
ejpam-6053	49	14	-	-	PUNCT
ejpam-6053	49	15	cov-2	cov-2	NOUN
ejpam-6053	49	16	.	.	PUNCT
ejpam-6053	50	1	this	this	DET
ejpam-6053	50	2	mutation	mutation	NOUN
ejpam-6053	50	3	tracking	tracking	NOUN
ejpam-6053	50	4	makes	make	VERB
ejpam-6053	50	5	it	it	PRON
ejpam-6053	50	6	feasible	feasible	ADJ
ejpam-6053	50	7	to	to	PART
ejpam-6053	50	8	comprehend	comprehend	VERB
ejpam-6053	50	9	the	the	DET
ejpam-6053	50	10	behavior	behavior	NOUN
ejpam-6053	50	11	of	of	ADP
ejpam-6053	50	12	the	the	DET
ejpam-6053	50	13	virus	virus	NOUN
ejpam-6053	50	14	,	,	PUNCT
ejpam-6053	50	15	anticipate	anticipate	VERB
ejpam-6053	50	16	potential	potential	ADJ
ejpam-6053	50	17	outbreaks	outbreak	NOUN
ejpam-6053	50	18	,	,	PUNCT
ejpam-6053	50	19	and	and	CCONJ
ejpam-6053	50	20	alter	alter	VERB
ejpam-6053	50	21	diagnostic	diagnostic	ADJ
ejpam-6053	50	22	techniques	technique	NOUN
ejpam-6053	50	23	,	,	PUNCT
ejpam-6053	50	24	drugs	drug	NOUN
ejpam-6053	50	25	,	,	PUNCT
ejpam-6053	50	26	and	and	CCONJ
ejpam-6053	50	27	vaccines	vaccine	NOUN
ejpam-6053	50	28	.	.	PUNCT
ejpam-6053	51	1	since	since	SCONJ
ejpam-6053	51	2	march	march	PROPN
ejpam-6053	51	3	2020	2020	NUM
ejpam-6053	51	4	,	,	PUNCT
ejpam-6053	51	5	ohio	ohio	PROPN
ejpam-6053	51	6	state	state	NOUN
ejpam-6053	51	7	researchers	researcher	NOUN
ejpam-6053	51	8	have	have	AUX
ejpam-6053	51	9	been	be	AUX
ejpam-6053	51	10	sequencing	sequence	VERB
ejpam-6053	51	11	the	the	DET
ejpam-6053	51	12	genomes	genome	NOUN
ejpam-6053	51	13	of	of	ADP
ejpam-6053	51	14	the	the	DET
ejpam-6053	51	15	sars	sar	NOUN
ejpam-6053	51	16	-	-	PUNCT
ejpam-6053	51	17	cov-2	cov-2	PART
ejpam-6053	51	18	virus	virus	NOUN
ejpam-6053	51	19	,	,	PUNCT
ejpam-6053	51	20	despite	despite	SCONJ
ejpam-6053	51	21	the	the	DET
ejpam-6053	51	22	fact	fact	NOUN
ejpam-6053	51	23	that	that	SCONJ
ejpam-6053	51	24	this	this	PRON
ejpam-6053	51	25	happens	happen	VERB
ejpam-6053	51	26	worldwide	worldwide	ADV
ejpam-6053	51	27	.	.	PUNCT
ejpam-6053	52	1	it	it	PRON
ejpam-6053	52	2	allows	allow	VERB
ejpam-6053	52	3	us	we	PRON
ejpam-6053	52	4	to	to	PART
ejpam-6053	52	5	monitor	monitor	VERB
ejpam-6053	52	6	the	the	DET
ejpam-6053	52	7	evolution	evolution	NOUN
ejpam-6053	52	8	of	of	ADP
ejpam-6053	52	9	covid-19	covid-19	PROPN
ejpam-6053	52	10	and	and	CCONJ
ejpam-6053	52	11	assess	assess	VERB
ejpam-6053	52	12	if	if	SCONJ
ejpam-6053	52	13	newly	newly	ADV
ejpam-6053	52	14	discovered	discover	VERB
ejpam-6053	52	15	variations	variation	NOUN
ejpam-6053	52	16	eiman	eiman	NOUN
ejpam-6053	52	17	et	et	PROPN
ejpam-6053	52	18	al	al	PROPN
ejpam-6053	53	1	.	.	PUNCT
ejpam-6053	53	2	/	/	SYM
ejpam-6053	53	3	eur	eur	PROPN
ejpam-6053	53	4	.	.	PUNCT
ejpam-6053	54	1	j.	j.	PROPN
ejpam-6053	54	2	pure	pure	PROPN
ejpam-6053	54	3	appl	appl	PROPN
ejpam-6053	54	4	.	.	PROPN
ejpam-6053	54	5	math	math	PROPN
ejpam-6053	54	6	,	,	PUNCT
ejpam-6053	54	7	18	18	NUM
ejpam-6053	54	8	(	(	PUNCT
ejpam-6053	54	9	2	2	NUM
ejpam-6053	54	10	)	)	PUNCT
ejpam-6053	54	11	(	(	PUNCT
ejpam-6053	54	12	2025	2025	NUM
ejpam-6053	54	13	)	)	PUNCT
ejpam-6053	54	14	,	,	PUNCT
ejpam-6053	54	15	6053	6053	NUM
ejpam-6053	54	16	3	3	NUM
ejpam-6053	54	17	of	of	ADP
ejpam-6053	54	18	26	26	NUM
ejpam-6053	54	19	are	be	AUX
ejpam-6053	54	20	more	more	ADV
ejpam-6053	54	21	contagious	contagious	ADJ
ejpam-6053	54	22	or	or	CCONJ
ejpam-6053	54	23	transmissible	transmissible	ADJ
ejpam-6053	54	24	than	than	ADP
ejpam-6053	54	25	more	more	ADV
ejpam-6053	54	26	well	well	ADV
ejpam-6053	54	27	-	-	PUNCT
ejpam-6053	54	28	known	know	VERB
ejpam-6053	54	29	variants	variant	NOUN
ejpam-6053	54	30	(	(	PUNCT
ejpam-6053	54	31	we	we	PRON
ejpam-6053	54	32	refer	refer	VERB
ejpam-6053	54	33	to	to	ADP
ejpam-6053	54	34	[	[	X
ejpam-6053	54	35	12	12	NUM
ejpam-6053	54	36	,	,	PUNCT
ejpam-6053	54	37	13	13	NUM
ejpam-6053	54	38	]	]	PUNCT
ejpam-6053	54	39	)	)	PUNCT
ejpam-6053	54	40	.	.	PUNCT
ejpam-6053	55	1	here	here	ADV
ejpam-6053	55	2	in	in	ADP
ejpam-6053	55	3	the	the	DET
ejpam-6053	55	4	given	give	VERB
ejpam-6053	55	5	figure	figure	NOUN
ejpam-6053	55	6	1	1	NUM
ejpam-6053	55	7	,	,	PUNCT
ejpam-6053	55	8	we	we	PRON
ejpam-6053	55	9	give	give	VERB
ejpam-6053	55	10	a	a	DET
ejpam-6053	55	11	rough	rough	ADJ
ejpam-6053	55	12	sketch	sketch	NOUN
ejpam-6053	55	13	of	of	ADP
ejpam-6053	55	14	sars	sar	NOUN
ejpam-6053	55	15	-	-	PUNCT
ejpam-6053	55	16	cov-2	cov-2	PART
ejpam-6053	55	17	virus	virus	NOUN
ejpam-6053	55	18	in	in	ADP
ejpam-6053	55	19	sub	sub	NOUN
ejpam-6053	55	20	figure	figure	NOUN
ejpam-6053	55	21	(	(	PUNCT
ejpam-6053	55	22	a	a	NOUN
ejpam-6053	55	23	)	)	PUNCT
ejpam-6053	55	24	and	and	CCONJ
ejpam-6053	55	25	influenza	influenza	NOUN
ejpam-6053	55	26	virus	virus	NOUN
ejpam-6053	55	27	mutation	mutation	NOUN
ejpam-6053	55	28	in	in	ADP
ejpam-6053	55	29	sub	sub	NOUN
ejpam-6053	55	30	figure	figure	NOUN
ejpam-6053	55	31	(	(	PUNCT
ejpam-6053	55	32	b	b	NOUN
ejpam-6053	55	33	)	)	PUNCT
ejpam-6053	55	34	.	.	PUNCT
ejpam-6053	56	1	figure	figure	VERB
ejpam-6053	56	2	1	1	NUM
ejpam-6053	56	3	:	:	PUNCT
ejpam-6053	56	4	(	(	PUNCT
ejpam-6053	56	5	a	a	NOUN
ejpam-6053	56	6	)	)	PUNCT
ejpam-6053	56	7	.	.	PUNCT
ejpam-6053	57	1	mutation	mutation	NOUN
ejpam-6053	57	2	in	in	ADP
ejpam-6053	57	3	sars	sars	PROPN
ejpam-6053	57	4	-	-	PUNCT
ejpam-6053	57	5	cov-2	cov-2	NOUN
ejpam-6053	57	6	virus	virus	NOUN
ejpam-6053	57	7	.	.	PUNCT
ejpam-6053	58	1	(	(	PUNCT
ejpam-6053	58	2	b	b	NOUN
ejpam-6053	58	3	)	)	PUNCT
ejpam-6053	58	4	.	.	PUNCT
ejpam-6053	59	1	mutation	mutation	NOUN
ejpam-6053	59	2	in	in	ADP
ejpam-6053	59	3	influenza	influenza	NOUN
ejpam-6053	59	4	virus	virus	NOUN
ejpam-6053	59	5	.	.	PUNCT
ejpam-6053	60	1	it	it	PRON
ejpam-6053	60	2	’s	’	VERB
ejpam-6053	60	3	hard	hard	ADJ
ejpam-6053	60	4	to	to	PART
ejpam-6053	60	5	predict	predict	VERB
ejpam-6053	60	6	when	when	SCONJ
ejpam-6053	60	7	or	or	CCONJ
ejpam-6053	60	8	for	for	ADP
ejpam-6053	60	9	how	how	SCONJ
ejpam-6053	60	10	long	long	ADJ
ejpam-6053	60	11	new	new	ADJ
ejpam-6053	60	12	strains	strain	NOUN
ejpam-6053	60	13	of	of	ADP
ejpam-6053	60	14	sars	sar	NOUN
ejpam-6053	60	15	-	-	PUNCT
ejpam-6053	60	16	cov-2	cov-2	NUM
ejpam-6053	60	17	may	may	AUX
ejpam-6053	60	18	emerge	emerge	VERB
ejpam-6053	60	19	.	.	PUNCT
ejpam-6053	61	1	getting	get	VERB
ejpam-6053	61	2	the	the	DET
ejpam-6053	61	3	required	required	ADJ
ejpam-6053	61	4	immunizations	immunization	NOUN
ejpam-6053	61	5	and	and	CCONJ
ejpam-6053	61	6	donning	don	VERB
ejpam-6053	61	7	masks	mask	NOUN
ejpam-6053	61	8	in	in	ADP
ejpam-6053	61	9	crowded	crowded	ADJ
ejpam-6053	61	10	areas	area	NOUN
ejpam-6053	61	11	,	,	PUNCT
ejpam-6053	61	12	where	where	SCONJ
ejpam-6053	61	13	covid19	covid19	NOUN
ejpam-6053	61	14	is	be	AUX
ejpam-6053	61	15	more	more	ADV
ejpam-6053	61	16	likely	likely	ADJ
ejpam-6053	61	17	to	to	PART
ejpam-6053	61	18	spread	spread	VERB
ejpam-6053	61	19	among	among	ADP
ejpam-6053	61	20	people	people	NOUN
ejpam-6053	61	21	are	be	AUX
ejpam-6053	61	22	essential	essential	ADJ
ejpam-6053	61	23	actions	action	NOUN
ejpam-6053	61	24	we	we	PRON
ejpam-6053	61	25	can	can	AUX
ejpam-6053	61	26	all	all	ADV
ejpam-6053	61	27	take	take	VERB
ejpam-6053	61	28	to	to	PART
ejpam-6053	61	29	prevent	prevent	VERB
ejpam-6053	61	30	the	the	DET
ejpam-6053	61	31	disease	disease	NOUN
ejpam-6053	61	32	from	from	ADP
ejpam-6053	61	33	spreading	spread	VERB
ejpam-6053	61	34	.	.	PUNCT
ejpam-6053	62	1	viral	viral	ADJ
ejpam-6053	62	2	infections	infection	NOUN
ejpam-6053	62	3	have	have	VERB
ejpam-6053	62	4	the	the	DET
ejpam-6053	62	5	potential	potential	NOUN
ejpam-6053	62	6	to	to	PART
ejpam-6053	62	7	become	become	VERB
ejpam-6053	62	8	more	more	ADV
ejpam-6053	62	9	contagious	contagious	ADJ
ejpam-6053	62	10	in	in	ADP
ejpam-6053	62	11	populations	population	NOUN
ejpam-6053	62	12	with	with	ADP
ejpam-6053	62	13	low	low	ADJ
ejpam-6053	62	14	rates	rate	NOUN
ejpam-6053	62	15	of	of	ADP
ejpam-6053	62	16	immunization	immunization	NOUN
ejpam-6053	62	17	.	.	PUNCT
ejpam-6053	63	1	getting	getting	AUX
ejpam-6053	63	2	immunized	immunize	VERB
ejpam-6053	63	3	and	and	CCONJ
ejpam-6053	63	4	wearing	wear	VERB
ejpam-6053	63	5	a	a	DET
ejpam-6053	63	6	mask	mask	NOUN
ejpam-6053	63	7	need	need	NOUN
ejpam-6053	63	8	to	to	PART
ejpam-6053	63	9	be	be	AUX
ejpam-6053	63	10	requirements	requirement	NOUN
ejpam-6053	63	11	.	.	PUNCT
ejpam-6053	64	1	most	most	ADJ
ejpam-6053	64	2	hospital	hospital	NOUN
ejpam-6053	64	3	patients	patient	NOUN
ejpam-6053	64	4	with	with	ADP
ejpam-6053	64	5	covid-19	covid-19	PROPN
ejpam-6053	64	6	are	be	AUX
ejpam-6053	64	7	not	not	PART
ejpam-6053	64	8	immunized	immunize	VERB
ejpam-6053	64	9	.	.	PUNCT
ejpam-6053	65	1	immunization	immunization	NOUN
ejpam-6053	65	2	is	be	AUX
ejpam-6053	65	3	one	one	NUM
ejpam-6053	65	4	way	way	NOUN
ejpam-6053	65	5	to	to	PART
ejpam-6053	65	6	stop	stop	VERB
ejpam-6053	65	7	the	the	DET
ejpam-6053	65	8	spread	spread	NOUN
ejpam-6053	65	9	and	and	CCONJ
ejpam-6053	65	10	replication	replication	NOUN
ejpam-6053	65	11	of	of	ADP
ejpam-6053	65	12	covid-19	covid-19	PROPN
ejpam-6053	65	13	.	.	PUNCT
ejpam-6053	66	1	mutations	mutation	NOUN
ejpam-6053	66	2	are	be	AUX
ejpam-6053	66	3	more	more	ADV
ejpam-6053	66	4	likely	likely	ADJ
ejpam-6053	66	5	to	to	PART
ejpam-6053	66	6	occur	occur	VERB
ejpam-6053	66	7	when	when	SCONJ
ejpam-6053	66	8	covid-19	covid-19	PROPN
ejpam-6053	66	9	is	be	AUX
ejpam-6053	66	10	allowed	allow	VERB
ejpam-6053	66	11	to	to	PART
ejpam-6053	66	12	multiply	multiply	VERB
ejpam-6053	66	13	.	.	PUNCT
ejpam-6053	67	1	to	to	PART
ejpam-6053	67	2	assess	assess	VERB
ejpam-6053	67	3	the	the	DET
ejpam-6053	67	4	ongoing	ongoing	ADJ
ejpam-6053	67	5	risk	risk	NOUN
ejpam-6053	67	6	to	to	ADP
ejpam-6053	67	7	the	the	DET
ejpam-6053	67	8	public	public	NOUN
ejpam-6053	67	9	’s	’s	PART
ejpam-6053	67	10	health	health	NOUN
ejpam-6053	67	11	,	,	PUNCT
ejpam-6053	67	12	it	it	PRON
ejpam-6053	67	13	is	be	AUX
ejpam-6053	67	14	imperative	imperative	ADJ
ejpam-6053	67	15	to	to	PART
ejpam-6053	67	16	monitor	monitor	VERB
ejpam-6053	67	17	these	these	DET
ejpam-6053	67	18	mutations	mutation	NOUN
ejpam-6053	67	19	and	and	CCONJ
ejpam-6053	67	20	the	the	DET
ejpam-6053	67	21	novel	novel	ADJ
ejpam-6053	67	22	variants	variant	NOUN
ejpam-6053	67	23	they	they	PRON
ejpam-6053	67	24	produce	produce	VERB
ejpam-6053	67	25	.	.	PUNCT
ejpam-6053	68	1	certain	certain	ADJ
ejpam-6053	68	2	mutations	mutation	NOUN
ejpam-6053	68	3	may	may	AUX
ejpam-6053	68	4	result	result	VERB
ejpam-6053	68	5	in	in	ADP
ejpam-6053	68	6	modifications	modification	NOUN
ejpam-6053	68	7	that	that	PRON
ejpam-6053	68	8	do	do	AUX
ejpam-6053	68	9	not	not	PART
ejpam-6053	68	10	immediately	immediately	ADV
ejpam-6053	68	11	jeopardies	jeopardie	VERB
ejpam-6053	68	12	an	an	DET
ejpam-6053	68	13	organism	organism	NOUN
ejpam-6053	68	14	’s	’s	PART
ejpam-6053	68	15	enhanced	enhance	VERB
ejpam-6053	68	16	pathogenicity	pathogenicity	NOUN
ejpam-6053	68	17	.	.	PUNCT
ejpam-6053	69	1	certain	certain	ADJ
ejpam-6053	69	2	adjustments	adjustment	NOUN
ejpam-6053	69	3	might	might	AUX
ejpam-6053	69	4	even	even	ADV
ejpam-6053	69	5	exacerbate	exacerbate	VERB
ejpam-6053	69	6	the	the	DET
ejpam-6053	69	7	illness	illness	NOUN
ejpam-6053	69	8	.	.	PUNCT
ejpam-6053	70	1	nonetheless	nonetheless	ADV
ejpam-6053	70	2	,	,	PUNCT
ejpam-6053	70	3	physicians	physician	NOUN
ejpam-6053	70	4	continue	continue	VERB
ejpam-6053	70	5	to	to	PART
ejpam-6053	70	6	monitor	monitor	VERB
ejpam-6053	70	7	both	both	PRON
ejpam-6053	70	8	of	of	ADP
ejpam-6053	70	9	these	these	DET
ejpam-6053	70	10	viruses	virus	NOUN
ejpam-6053	70	11	and	and	CCONJ
ejpam-6053	70	12	others	other	NOUN
ejpam-6053	70	13	because	because	SCONJ
ejpam-6053	70	14	a	a	DET
ejpam-6053	70	15	new	new	ADJ
ejpam-6053	70	16	virus	virus	NOUN
ejpam-6053	70	17	mutation	mutation	NOUN
ejpam-6053	70	18	could	could	AUX
ejpam-6053	70	19	alter	alter	VERB
ejpam-6053	70	20	the	the	DET
ejpam-6053	70	21	current	current	ADJ
ejpam-6053	70	22	scenario	scenario	NOUN
ejpam-6053	70	23	.	.	PUNCT
ejpam-6053	71	1	it	it	PRON
ejpam-6053	71	2	’s	’	VERB
ejpam-6053	71	3	important	important	ADJ
ejpam-6053	71	4	to	to	PART
ejpam-6053	71	5	keep	keep	VERB
ejpam-6053	71	6	in	in	ADP
ejpam-6053	71	7	mind	mind	NOUN
ejpam-6053	71	8	that	that	SCONJ
ejpam-6053	71	9	,	,	PUNCT
ejpam-6053	71	10	even	even	ADV
ejpam-6053	71	11	in	in	ADP
ejpam-6053	71	12	cases	case	NOUN
ejpam-6053	71	13	where	where	SCONJ
ejpam-6053	71	14	virus	virus	NOUN
ejpam-6053	71	15	mutations	mutation	NOUN
ejpam-6053	71	16	lead	lead	VERB
ejpam-6053	71	17	to	to	ADP
ejpam-6053	71	18	modifications	modification	NOUN
ejpam-6053	71	19	in	in	ADP
ejpam-6053	71	20	public	public	ADJ
ejpam-6053	71	21	health	health	NOUN
ejpam-6053	71	22	practises	practise	NOUN
ejpam-6053	71	23	,	,	PUNCT
ejpam-6053	71	24	not	not	PART
ejpam-6053	71	25	all	all	DET
ejpam-6053	71	26	virus	virus	NOUN
ejpam-6053	71	27	mutations	mutation	NOUN
ejpam-6053	71	28	have	have	VERB
ejpam-6053	71	29	a	a	DET
ejpam-6053	71	30	deep	deep	ADJ
ejpam-6053	71	31	effect	effect	NOUN
ejpam-6053	71	32	on	on	ADP
ejpam-6053	71	33	virus	virus	NOUN
ejpam-6053	71	34	behavior	behavior	NOUN
ejpam-6053	71	35	or	or	CCONJ
ejpam-6053	71	36	public	public	ADJ
ejpam-6053	71	37	health	health	NOUN
ejpam-6053	71	38	.	.	PUNCT
ejpam-6053	72	1	many	many	ADJ
ejpam-6053	72	2	mutations	mutation	NOUN
ejpam-6053	72	3	either	either	CCONJ
ejpam-6053	72	4	have	have	VERB
ejpam-6053	72	5	no	no	DET
ejpam-6053	72	6	effect	effect	NOUN
ejpam-6053	72	7	on	on	ADP
ejpam-6053	72	8	the	the	DET
ejpam-6053	72	9	virus	virus	NOUN
ejpam-6053	72	10	or	or	CCONJ
ejpam-6053	72	11	could	could	AUX
ejpam-6053	72	12	even	even	ADV
ejpam-6053	72	13	be	be	AUX
ejpam-6053	72	14	harmful	harmful	ADJ
ejpam-6053	72	15	to	to	ADP
ejpam-6053	72	16	it	it	PRON
ejpam-6053	72	17	(	(	PUNCT
ejpam-6053	72	18	we	we	PRON
ejpam-6053	72	19	refer	refer	VERB
ejpam-6053	72	20	to	to	ADP
ejpam-6053	72	21	[	[	X
ejpam-6053	72	22	14	14	NUM
ejpam-6053	72	23	,	,	PUNCT
ejpam-6053	72	24	15	15	NUM
ejpam-6053	72	25	]	]	NUM
ejpam-6053	72	26	)	)	PUNCT
ejpam-6053	72	27	.	.	PUNCT
ejpam-6053	73	1	however	however	ADV
ejpam-6053	73	2	,	,	PUNCT
ejpam-6053	73	3	understanding	understand	VERB
ejpam-6053	73	4	infectious	infectious	ADJ
ejpam-6053	73	5	diseases	disease	NOUN
ejpam-6053	73	6	(	(	PUNCT
ejpam-6053	73	7	including	include	VERB
ejpam-6053	73	8	how	how	SCONJ
ejpam-6053	73	9	to	to	PART
ejpam-6053	73	10	manage	manage	VERB
ejpam-6053	73	11	medicine	medicine	NOUN
ejpam-6053	73	12	resistance	resistance	NOUN
ejpam-6053	73	13	,	,	PUNCT
ejpam-6053	73	14	immunological	immunological	ADJ
ejpam-6053	73	15	escape	escape	NOUN
ejpam-6053	73	16	,	,	PUNCT
ejpam-6053	73	17	vaccination	vaccination	NOUN
ejpam-6053	73	18	,	,	PUNCT
ejpam-6053	73	19	pathogenesis	pathogenesis	NOUN
ejpam-6053	73	20	,	,	PUNCT
ejpam-6053	73	21	and	and	CCONJ
ejpam-6053	73	22	the	the	DET
ejpam-6053	73	23	emergence	emergence	NOUN
ejpam-6053	73	24	of	of	ADP
ejpam-6053	73	25	novel	novel	ADJ
ejpam-6053	73	26	diseases	disease	NOUN
ejpam-6053	73	27	)	)	PUNCT
ejpam-6053	73	28	and	and	CCONJ
ejpam-6053	73	29	developing	develop	VERB
ejpam-6053	73	30	effective	effective	ADJ
ejpam-6053	73	31	prophylactic	prophylactic	ADJ
ejpam-6053	73	32	measures	measure	NOUN
ejpam-6053	73	33	depend	depend	VERB
ejpam-6053	73	34	on	on	ADP
ejpam-6053	73	35	tracking	track	VERB
ejpam-6053	73	36	and	and	CCONJ
ejpam-6053	73	37	studying	study	VERB
ejpam-6053	73	38	changes	change	NOUN
ejpam-6053	73	39	in	in	ADP
ejpam-6053	73	40	viruses	virus	NOUN
ejpam-6053	73	41	.	.	PUNCT
ejpam-6053	74	1	we	we	PRON
ejpam-6053	74	2	can	can	AUX
ejpam-6053	74	3	gain	gain	VERB
ejpam-6053	74	4	a	a	DET
ejpam-6053	74	5	better	well	ADJ
ejpam-6053	74	6	understanding	understanding	NOUN
ejpam-6053	74	7	of	of	ADP
ejpam-6053	74	8	infectious	infectious	ADJ
ejpam-6053	74	9	diseases	disease	NOUN
ejpam-6053	74	10	through	through	ADP
ejpam-6053	74	11	mathematical	mathematical	ADJ
ejpam-6053	74	12	modeling	modeling	NOUN
ejpam-6053	74	13	.	.	PUNCT
ejpam-6053	75	1	the	the	DET
ejpam-6053	75	2	typical	typical	ADJ
ejpam-6053	75	3	methods	method	NOUN
ejpam-6053	75	4	for	for	ADP
ejpam-6053	75	5	studying	study	VERB
ejpam-6053	75	6	epidemiological	epidemiological	ADJ
ejpam-6053	75	7	models	model	NOUN
ejpam-6053	75	8	have	have	AUX
ejpam-6053	75	9	been	be	AUX
ejpam-6053	75	10	difference	difference	NOUN
ejpam-6053	75	11	equations	equation	NOUN
ejpam-6053	75	12	or	or	CCONJ
ejpam-6053	75	13	traditional	traditional	ADJ
ejpam-6053	75	14	order	order	NOUN
ejpam-6053	75	15	derivatives	derivative	NOUN
ejpam-6053	75	16	.	.	PUNCT
ejpam-6053	76	1	nevertheless	nevertheless	ADV
ejpam-6053	76	2	,	,	PUNCT
ejpam-6053	76	3	the	the	DET
ejpam-6053	76	4	global	global	ADJ
ejpam-6053	76	5	dynamical	dynamical	ADJ
ejpam-6053	76	6	behavior	behavior	NOUN
ejpam-6053	76	7	of	of	ADP
ejpam-6053	76	8	events	event	NOUN
ejpam-6053	76	9	can	can	AUX
ejpam-6053	76	10	not	not	PART
ejpam-6053	76	11	be	be	AUX
ejpam-6053	76	12	fully	fully	ADV
ejpam-6053	76	13	captured	capture	VERB
ejpam-6053	76	14	by	by	ADP
ejpam-6053	76	15	these	these	DET
ejpam-6053	76	16	traditional	traditional	ADJ
ejpam-6053	76	17	local	local	ADJ
ejpam-6053	76	18	operators	operator	NOUN
ejpam-6053	76	19	.	.	PUNCT
ejpam-6053	77	1	this	this	PRON
ejpam-6053	77	2	has	have	AUX
ejpam-6053	77	3	led	lead	VERB
ejpam-6053	77	4	to	to	ADP
ejpam-6053	77	5	a	a	DET
ejpam-6053	77	6	growing	grow	VERB
ejpam-6053	77	7	trend	trend	NOUN
ejpam-6053	77	8	of	of	ADP
ejpam-6053	77	9	academics	academic	NOUN
ejpam-6053	77	10	modeling	model	VERB
ejpam-6053	77	11	many	many	ADJ
ejpam-6053	77	12	types	type	NOUN
ejpam-6053	77	13	of	of	ADP
ejpam-6053	77	14	systems	system	NOUN
ejpam-6053	77	15	using	use	VERB
ejpam-6053	77	16	fractional	fractional	ADJ
ejpam-6053	77	17	order	order	NOUN
ejpam-6053	77	18	derivatives	derivative	NOUN
ejpam-6053	77	19	in	in	ADP
ejpam-6053	77	20	disciplines	discipline	NOUN
ejpam-6053	77	21	such	such	ADJ
ejpam-6053	77	22	as	as	ADP
ejpam-6053	77	23	dynamical	dynamical	ADJ
ejpam-6053	77	24	analysis	analysis	NOUN
ejpam-6053	77	25	and	and	CCONJ
ejpam-6053	77	26	mathematical	mathematical	ADJ
ejpam-6053	77	27	biology	biology	NOUN
ejpam-6053	77	28	.	.	PUNCT
ejpam-6053	78	1	because	because	SCONJ
ejpam-6053	78	2	fractional	fractional	ADJ
ejpam-6053	78	3	calculus	calculus	NOUN
ejpam-6053	78	4	can	can	AUX
ejpam-6053	78	5	be	be	AUX
ejpam-6053	78	6	used	use	VERB
ejpam-6053	78	7	to	to	ADP
ejpam-6053	78	8	a	a	DET
ejpam-6053	78	9	wide	wide	ADJ
ejpam-6053	78	10	range	range	NOUN
ejpam-6053	78	11	of	of	ADP
ejpam-6053	78	12	real	real	ADJ
ejpam-6053	78	13	-	-	PUNCT
ejpam-6053	78	14	world	world	NOUN
ejpam-6053	78	15	situations	situation	NOUN
ejpam-6053	78	16	,	,	PUNCT
ejpam-6053	78	17	it	it	PRON
ejpam-6053	78	18	has	have	AUX
ejpam-6053	78	19	been	be	AUX
ejpam-6053	78	20	widely	widely	ADV
ejpam-6053	78	21	adopted	adopt	VERB
ejpam-6053	78	22	in	in	ADP
ejpam-6053	78	23	eiman	eiman	NOUN
ejpam-6053	79	1	et	et	PROPN
ejpam-6053	79	2	al	al	PROPN
ejpam-6053	79	3	.	.	PUNCT
ejpam-6053	79	4	/	/	SYM
ejpam-6053	79	5	eur	eur	PROPN
ejpam-6053	79	6	.	.	PUNCT
ejpam-6053	80	1	j.	j.	PROPN
ejpam-6053	80	2	pure	pure	PROPN
ejpam-6053	80	3	appl	appl	PROPN
ejpam-6053	80	4	.	.	PROPN
ejpam-6053	80	5	math	math	PROPN
ejpam-6053	80	6	,	,	PUNCT
ejpam-6053	80	7	18	18	NUM
ejpam-6053	80	8	(	(	PUNCT
ejpam-6053	80	9	2	2	NUM
ejpam-6053	80	10	)	)	PUNCT
ejpam-6053	80	11	(	(	PUNCT
ejpam-6053	80	12	2025	2025	NUM
ejpam-6053	80	13	)	)	PUNCT
ejpam-6053	80	14	,	,	PUNCT
ejpam-6053	80	15	6053	6053	NUM
ejpam-6053	80	16	4	4	NUM
ejpam-6053	80	17	of	of	ADP
ejpam-6053	80	18	26	26	NUM
ejpam-6053	80	19	these	these	DET
ejpam-6053	80	20	domains	domain	NOUN
ejpam-6053	80	21	and	and	CCONJ
ejpam-6053	80	22	has	have	AUX
ejpam-6053	80	23	generated	generate	VERB
ejpam-6053	80	24	significant	significant	ADJ
ejpam-6053	80	25	interest	interest	NOUN
ejpam-6053	80	26	and	and	CCONJ
ejpam-6053	80	27	breakthroughs	breakthrough	NOUN
ejpam-6053	80	28	in	in	ADP
ejpam-6053	80	29	the	the	DET
ejpam-6053	80	30	field	field	NOUN
ejpam-6053	80	31	.	.	PUNCT
ejpam-6053	81	1	fractional	fractional	ADJ
ejpam-6053	81	2	calculus	calculus	NOUN
ejpam-6053	81	3	has	have	VERB
ejpam-6053	81	4	a	a	DET
ejpam-6053	81	5	wide	wide	ADJ
ejpam-6053	81	6	range	range	NOUN
ejpam-6053	81	7	of	of	ADP
ejpam-6053	81	8	real	real	ADJ
ejpam-6053	81	9	-	-	PUNCT
ejpam-6053	81	10	world	world	NOUN
ejpam-6053	81	11	applications	application	NOUN
ejpam-6053	81	12	,	,	PUNCT
ejpam-6053	81	13	as	as	SCONJ
ejpam-6053	81	14	demonstrated	demonstrate	VERB
ejpam-6053	81	15	by	by	ADP
ejpam-6053	81	16	the	the	DET
ejpam-6053	81	17	works	work	NOUN
ejpam-6053	81	18	referenced	reference	VERB
ejpam-6053	81	19	as	as	ADP
ejpam-6053	81	20	[	[	X
ejpam-6053	81	21	16	16	NUM
ejpam-6053	81	22	,	,	PUNCT
ejpam-6053	81	23	17	17	NUM
ejpam-6053	81	24	]	]	PUNCT
ejpam-6053	81	25	.	.	PUNCT
ejpam-6053	82	1	as	as	ADP
ejpam-6053	82	2	references	reference	NOUN
ejpam-6053	82	3	[	[	X
ejpam-6053	82	4	18	18	NUM
ejpam-6053	82	5	,	,	PUNCT
ejpam-6053	82	6	19	19	NUM
ejpam-6053	82	7	]	]	PUNCT
ejpam-6053	82	8	demonstrate	demonstrate	NOUN
ejpam-6053	82	9	,	,	PUNCT
ejpam-6053	82	10	fractional	fractional	ADJ
ejpam-6053	82	11	calculus	calculus	NOUN
ejpam-6053	82	12	has	have	AUX
ejpam-6053	82	13	been	be	AUX
ejpam-6053	82	14	found	find	VERB
ejpam-6053	82	15	useful	useful	ADJ
ejpam-6053	82	16	in	in	ADP
ejpam-6053	82	17	solving	solve	VERB
ejpam-6053	82	18	a	a	DET
ejpam-6053	82	19	wide	wide	ADJ
ejpam-6053	82	20	range	range	NOUN
ejpam-6053	82	21	of	of	ADP
ejpam-6053	82	22	issues	issue	NOUN
ejpam-6053	82	23	,	,	PUNCT
ejpam-6053	82	24	including	include	VERB
ejpam-6053	82	25	those	those	PRON
ejpam-6053	82	26	pertaining	pertain	VERB
ejpam-6053	82	27	to	to	ADP
ejpam-6053	82	28	mathematical	mathematical	ADJ
ejpam-6053	82	29	biology	biology	NOUN
ejpam-6053	82	30	,	,	PUNCT
ejpam-6053	82	31	epidemiological	epidemiological	ADJ
ejpam-6053	82	32	modeling	modeling	NOUN
ejpam-6053	82	33	,	,	PUNCT
ejpam-6053	82	34	and	and	CCONJ
ejpam-6053	82	35	disease	disease	NOUN
ejpam-6053	82	36	dynamics	dynamic	NOUN
ejpam-6053	82	37	.	.	PUNCT
ejpam-6053	83	1	furthermore	furthermore	ADV
ejpam-6053	83	2	,	,	PUNCT
ejpam-6053	83	3	a	a	DET
ejpam-6053	83	4	wide	wide	ADJ
ejpam-6053	83	5	range	range	NOUN
ejpam-6053	83	6	of	of	ADP
ejpam-6053	83	7	scientific	scientific	ADJ
ejpam-6053	83	8	and	and	CCONJ
ejpam-6053	83	9	technological	technological	ADJ
ejpam-6053	83	10	domains	domain	NOUN
ejpam-6053	83	11	,	,	PUNCT
ejpam-6053	83	12	including	include	VERB
ejpam-6053	83	13	those	those	PRON
ejpam-6053	83	14	listed	list	VERB
ejpam-6053	83	15	in	in	ADP
ejpam-6053	83	16	references	reference	NOUN
ejpam-6053	83	17	[	[	X
ejpam-6053	83	18	20	20	NUM
ejpam-6053	83	19	,	,	PUNCT
ejpam-6053	83	20	21	21	NUM
ejpam-6053	83	21	]	]	PUNCT
ejpam-6053	83	22	have	have	AUX
ejpam-6053	83	23	adopted	adopt	VERB
ejpam-6053	83	24	fractional	fractional	ADJ
ejpam-6053	83	25	calculus	calculus	NOUN
ejpam-6053	83	26	.	.	PUNCT
ejpam-6053	84	1	because	because	SCONJ
ejpam-6053	84	2	fractional	fractional	ADJ
ejpam-6053	84	3	calculus	calculus	NOUN
ejpam-6053	84	4	is	be	AUX
ejpam-6053	84	5	globally	globally	ADV
ejpam-6053	84	6	applicable	applicable	ADJ
ejpam-6053	84	7	and	and	CCONJ
ejpam-6053	84	8	can	can	AUX
ejpam-6053	84	9	take	take	VERB
ejpam-6053	84	10	memory	memory	NOUN
ejpam-6053	84	11	effects	effect	NOUN
ejpam-6053	84	12	in	in	ADP
ejpam-6053	84	13	dynamic	dynamic	ADJ
ejpam-6053	84	14	systems	system	NOUN
ejpam-6053	84	15	into	into	ADP
ejpam-6053	84	16	account	account	NOUN
ejpam-6053	84	17	,	,	PUNCT
ejpam-6053	84	18	it	it	PRON
ejpam-6053	84	19	is	be	AUX
ejpam-6053	84	20	becoming	becoming	AUX
ejpam-6053	84	21	widely	widely	ADV
ejpam-6053	84	22	used	use	VERB
ejpam-6053	84	23	in	in	ADP
ejpam-6053	84	24	the	the	DET
ejpam-6053	84	25	moderation	moderation	NOUN
ejpam-6053	84	26	of	of	ADP
ejpam-6053	84	27	many	many	ADJ
ejpam-6053	84	28	diseases	disease	NOUN
ejpam-6053	84	29	.	.	PUNCT
ejpam-6053	85	1	the	the	DET
ejpam-6053	85	2	scientific	scientific	ADJ
ejpam-6053	85	3	literature	literature	NOUN
ejpam-6053	85	4	and	and	CCONJ
ejpam-6053	85	5	research	research	NOUN
ejpam-6053	85	6	publications	publication	NOUN
ejpam-6053	85	7	devoted	devote	VERB
ejpam-6053	85	8	to	to	ADP
ejpam-6053	85	9	the	the	DET
ejpam-6053	85	10	fractional	fractional	ADJ
ejpam-6053	85	11	calculus	calculus	NOUN
ejpam-6053	85	12	and	and	CCONJ
ejpam-6053	85	13	its	its	PRON
ejpam-6053	85	14	use	use	NOUN
ejpam-6053	85	15	in	in	ADP
ejpam-6053	85	16	disease	disease	NOUN
ejpam-6053	85	17	modeling	modeling	NOUN
ejpam-6053	85	18	as	as	SCONJ
ejpam-6053	85	19	cited	cite	VERB
ejpam-6053	85	20	in	in	ADP
ejpam-6053	85	21	[	[	PUNCT
ejpam-6053	85	22	22	22	NUM
ejpam-6053	85	23	]	]	PUNCT
ejpam-6053	85	24	,	,	PUNCT
ejpam-6053	85	25	provide	provide	VERB
ejpam-6053	85	26	a	a	DET
ejpam-6053	85	27	wealth	wealth	NOUN
ejpam-6053	85	28	of	of	ADP
ejpam-6053	85	29	information	information	NOUN
ejpam-6053	85	30	and	and	CCONJ
ejpam-6053	85	31	detailed	detailed	ADJ
ejpam-6053	85	32	specifics	specific	NOUN
ejpam-6053	85	33	on	on	ADP
ejpam-6053	85	34	this	this	DET
ejpam-6053	85	35	subject	subject	NOUN
ejpam-6053	85	36	.	.	PUNCT
ejpam-6053	86	1	researchers	researcher	NOUN
ejpam-6053	86	2	have	have	AUX
ejpam-6053	86	3	modified	modify	VERB
ejpam-6053	86	4	and	and	CCONJ
ejpam-6053	86	5	enhanced	enhance	VERB
ejpam-6053	86	6	conventional	conventional	ADJ
ejpam-6053	86	7	analytical	analytical	ADJ
ejpam-6053	86	8	and	and	CCONJ
ejpam-6053	86	9	numerical	numerical	ADJ
ejpam-6053	86	10	techniques	technique	NOUN
ejpam-6053	86	11	to	to	PART
ejpam-6053	86	12	address	address	VERB
ejpam-6053	86	13	the	the	DET
ejpam-6053	86	14	difficulties	difficulty	NOUN
ejpam-6053	86	15	presented	present	VERB
ejpam-6053	86	16	by	by	ADP
ejpam-6053	86	17	issues	issue	NOUN
ejpam-6053	86	18	involving	involve	VERB
ejpam-6053	86	19	fractional	fractional	ADJ
ejpam-6053	86	20	order	order	NOUN
ejpam-6053	86	21	derivatives	derivative	NOUN
ejpam-6053	86	22	.	.	PUNCT
ejpam-6053	87	1	as	as	SCONJ
ejpam-6053	87	2	mentioned	mention	VERB
ejpam-6053	87	3	in	in	ADP
ejpam-6053	87	4	references	reference	NOUN
ejpam-6053	87	5	[	[	X
ejpam-6053	87	6	23	23	NUM
ejpam-6053	87	7	,	,	PUNCT
ejpam-6053	87	8	24	24	NUM
ejpam-6053	87	9	]	]	PUNCT
ejpam-6053	87	10	,	,	PUNCT
ejpam-6053	87	11	these	these	DET
ejpam-6053	87	12	improvements	improvement	NOUN
ejpam-6053	87	13	have	have	AUX
ejpam-6053	87	14	made	make	VERB
ejpam-6053	87	15	it	it	PRON
ejpam-6053	87	16	possible	possible	ADJ
ejpam-6053	87	17	for	for	SCONJ
ejpam-6053	87	18	them	they	PRON
ejpam-6053	87	19	to	to	PART
ejpam-6053	87	20	address	address	VERB
ejpam-6053	87	21	a	a	DET
ejpam-6053	87	22	wider	wide	ADJ
ejpam-6053	87	23	variety	variety	NOUN
ejpam-6053	87	24	of	of	ADP
ejpam-6053	87	25	scientific	scientific	ADJ
ejpam-6053	87	26	and	and	CCONJ
ejpam-6053	87	27	engineering	engineering	NOUN
ejpam-6053	87	28	problems	problem	NOUN
ejpam-6053	87	29	that	that	PRON
ejpam-6053	87	30	profit	profit	VERB
ejpam-6053	87	31	from	from	ADP
ejpam-6053	87	32	fractional	fractional	ADJ
ejpam-6053	87	33	calculus	calculus	NOUN
ejpam-6053	87	34	.	.	PUNCT
ejpam-6053	88	1	as	as	ADP
ejpam-6053	88	2	an	an	DET
ejpam-6053	88	3	example	example	NOUN
ejpam-6053	88	4	,	,	PUNCT
ejpam-6053	88	5	scholars	scholar	NOUN
ejpam-6053	88	6	have	have	AUX
ejpam-6053	88	7	expanded	expand	VERB
ejpam-6053	88	8	on	on	ADP
ejpam-6053	88	9	standard	standard	ADJ
ejpam-6053	88	10	techniques	technique	NOUN
ejpam-6053	88	11	like	like	ADP
ejpam-6053	88	12	as	as	ADP
ejpam-6053	88	13	perturbation	perturbation	NOUN
ejpam-6053	88	14	,	,	PUNCT
ejpam-6053	88	15	transform	transform	NOUN
ejpam-6053	88	16	,	,	PUNCT
ejpam-6053	88	17	and	and	CCONJ
ejpam-6053	88	18	decomposition	decomposition	NOUN
ejpam-6053	88	19	to	to	PART
ejpam-6053	88	20	investigate	investigate	VERB
ejpam-6053	88	21	a	a	DET
ejpam-6053	88	22	wide	wide	ADJ
ejpam-6053	88	23	range	range	NOUN
ejpam-6053	88	24	of	of	ADP
ejpam-6053	88	25	dynamic	dynamic	ADJ
ejpam-6053	88	26	phenomena	phenomenon	NOUN
ejpam-6053	88	27	using	use	VERB
ejpam-6053	88	28	fractional	fractional	ADJ
ejpam-6053	88	29	order	order	NOUN
ejpam-6053	88	30	derivatives	derivative	NOUN
ejpam-6053	88	31	.	.	PUNCT
ejpam-6053	89	1	furthermore	furthermore	ADV
ejpam-6053	89	2	,	,	PUNCT
ejpam-6053	89	3	as	as	SCONJ
ejpam-6053	89	4	mentioned	mention	VERB
ejpam-6053	89	5	in	in	ADP
ejpam-6053	89	6	[	[	X
ejpam-6053	89	7	25–27	25–27	NUM
ejpam-6053	89	8	]	]	NOUN
ejpam-6053	89	9	,	,	PUNCT
ejpam-6053	89	10	conventional	conventional	ADJ
ejpam-6053	89	11	numerical	numerical	ADJ
ejpam-6053	89	12	methods	method	NOUN
ejpam-6053	89	13	have	have	AUX
ejpam-6053	89	14	been	be	AUX
ejpam-6053	89	15	gradually	gradually	ADV
ejpam-6053	89	16	improved	improve	VERB
ejpam-6053	89	17	upon	upon	SCONJ
ejpam-6053	89	18	and	and	CCONJ
ejpam-6053	89	19	modified	modify	VERB
ejpam-6053	89	20	to	to	PART
ejpam-6053	89	21	solve	solve	VERB
ejpam-6053	89	22	fractional	fractional	ADJ
ejpam-6053	89	23	order	order	NOUN
ejpam-6053	89	24	derivative	derivative	ADJ
ejpam-6053	89	25	problems	problem	NOUN
ejpam-6053	89	26	.	.	PUNCT
ejpam-6053	90	1	a	a	DET
ejpam-6053	90	2	new	new	ADJ
ejpam-6053	90	3	idea	idea	NOUN
ejpam-6053	90	4	has	have	AUX
ejpam-6053	90	5	surfaced	surface	VERB
ejpam-6053	90	6	recently	recently	ADV
ejpam-6053	90	7	to	to	PART
ejpam-6053	90	8	explain	explain	VERB
ejpam-6053	90	9	the	the	DET
ejpam-6053	90	10	crossover	crossover	NOUN
ejpam-6053	90	11	behavior	behavior	NOUN
ejpam-6053	90	12	seen	see	VERB
ejpam-6053	90	13	in	in	ADP
ejpam-6053	90	14	dynamic	dynamic	ADJ
ejpam-6053	90	15	systems	system	NOUN
ejpam-6053	90	16	.	.	PUNCT
ejpam-6053	91	1	abrupt	abrupt	ADJ
ejpam-6053	91	2	shifts	shift	NOUN
ejpam-6053	91	3	in	in	ADP
ejpam-6053	91	4	the	the	DET
ejpam-6053	91	5	stages	stage	NOUN
ejpam-6053	91	6	of	of	ADP
ejpam-6053	91	7	different	different	ADJ
ejpam-6053	91	8	evolutionary	evolutionary	ADJ
ejpam-6053	91	9	processes	process	NOUN
ejpam-6053	91	10	give	give	VERB
ejpam-6053	91	11	birth	birth	NOUN
ejpam-6053	91	12	to	to	ADP
ejpam-6053	91	13	this	this	DET
ejpam-6053	91	14	behavior	behavior	NOUN
ejpam-6053	91	15	.	.	PUNCT
ejpam-6053	92	1	these	these	DET
ejpam-6053	92	2	effects	effect	NOUN
ejpam-6053	92	3	show	show	VERB
ejpam-6053	92	4	that	that	SCONJ
ejpam-6053	92	5	both	both	CCONJ
ejpam-6053	92	6	classical	classical	ADJ
ejpam-6053	92	7	and	and	CCONJ
ejpam-6053	92	8	fractional	fractional	ADJ
ejpam-6053	92	9	derivatives	derivative	NOUN
ejpam-6053	92	10	,	,	PUNCT
ejpam-6053	92	11	in	in	ADP
ejpam-6053	92	12	their	their	PRON
ejpam-6053	92	13	conventional	conventional	ADJ
ejpam-6053	92	14	forms	form	NOUN
ejpam-6053	92	15	,	,	PUNCT
ejpam-6053	92	16	are	be	AUX
ejpam-6053	92	17	not	not	PART
ejpam-6053	92	18	sufficient	sufficient	ADJ
ejpam-6053	92	19	to	to	PART
ejpam-6053	92	20	describe	describe	VERB
ejpam-6053	92	21	the	the	DET
ejpam-6053	92	22	multi	multi	ADJ
ejpam-6053	92	23	-	-	ADJ
ejpam-6053	92	24	phase	phase	ADJ
ejpam-6053	92	25	behaviors	behavior	NOUN
ejpam-6053	92	26	that	that	PRON
ejpam-6053	92	27	are	be	AUX
ejpam-6053	92	28	being	be	AUX
ejpam-6053	92	29	studied	study	VERB
ejpam-6053	92	30	.	.	PUNCT
ejpam-6053	93	1	thus	thus	ADV
ejpam-6053	93	2	,	,	PUNCT
ejpam-6053	93	3	for	for	ADP
ejpam-6053	93	4	the	the	DET
ejpam-6053	93	5	examined	examine	VERB
ejpam-6053	93	6	model	model	NOUN
ejpam-6053	93	7	,	,	PUNCT
ejpam-6053	93	8	a	a	DET
ejpam-6053	93	9	concerted	concerted	ADJ
ejpam-6053	93	10	effort	effort	NOUN
ejpam-6053	93	11	is	be	AUX
ejpam-6053	93	12	undertaken	undertake	VERB
ejpam-6053	93	13	to	to	PART
ejpam-6053	93	14	conduct	conduct	VERB
ejpam-6053	93	15	numerical	numerical	ADJ
ejpam-6053	93	16	simulations	simulation	NOUN
ejpam-6053	93	17	in	in	ADP
ejpam-6053	93	18	reference	reference	NOUN
ejpam-6053	93	19	[	[	X
ejpam-6053	93	20	28	28	NUM
ejpam-6053	93	21	]	]	PUNCT
ejpam-6053	93	22	,	,	PUNCT
ejpam-6053	93	23	with	with	ADP
ejpam-6053	93	24	a	a	DET
ejpam-6053	93	25	particular	particular	ADJ
ejpam-6053	93	26	emphasis	emphasis	NOUN
ejpam-6053	93	27	on	on	ADP
ejpam-6053	93	28	examining	examine	VERB
ejpam-6053	93	29	multi	multi	ADJ
ejpam-6053	93	30	-	-	ADJ
ejpam-6053	93	31	phase	phase	NOUN
ejpam-6053	93	32	behaviors	behavior	NOUN
ejpam-6053	93	33	across	across	ADP
ejpam-6053	93	34	various	various	ADJ
ejpam-6053	93	35	fractional	fractional	ADJ
ejpam-6053	93	36	orders	order	NOUN
ejpam-6053	93	37	.	.	PUNCT
ejpam-6053	94	1	the	the	DET
ejpam-6053	94	2	researchers	researcher	NOUN
ejpam-6053	94	3	use	use	VERB
ejpam-6053	94	4	a	a	DET
ejpam-6053	94	5	numerical	numerical	ADJ
ejpam-6053	94	6	technique	technique	NOUN
ejpam-6053	94	7	based	base	VERB
ejpam-6053	94	8	on	on	ADP
ejpam-6053	94	9	newton	newton	PROPN
ejpam-6053	94	10	interpolation	interpolation	NOUN
ejpam-6053	94	11	polynomials	polynomial	NOUN
ejpam-6053	94	12	to	to	PART
ejpam-6053	94	13	accomplish	accomplish	VERB
ejpam-6053	94	14	this	this	DET
ejpam-6053	94	15	goal	goal	NOUN
ejpam-6053	94	16	.	.	PUNCT
ejpam-6053	95	1	the	the	DET
ejpam-6053	95	2	research	research	NOUN
ejpam-6053	95	3	described	describe	VERB
ejpam-6053	95	4	in	in	ADP
ejpam-6053	95	5	reference	reference	NOUN
ejpam-6053	95	6	[	[	X
ejpam-6053	95	7	29	29	NUM
ejpam-6053	95	8	]	]	PUNCT
ejpam-6053	95	9	demonstrates	demonstrate	VERB
ejpam-6053	95	10	the	the	DET
ejpam-6053	95	11	strength	strength	NOUN
ejpam-6053	95	12	of	of	ADP
ejpam-6053	95	13	the	the	DET
ejpam-6053	95	14	suggested	suggest	VERB
ejpam-6053	95	15	numerical	numerical	PROPN
ejpam-6053	95	16	method	method	NOUN
ejpam-6053	95	17	and	and	CCONJ
ejpam-6053	95	18	its	its	PRON
ejpam-6053	95	19	capacity	capacity	NOUN
ejpam-6053	95	20	to	to	PART
ejpam-6053	95	21	manage	manage	VERB
ejpam-6053	95	22	dynamic	dynamic	ADJ
ejpam-6053	95	23	behaviors	behavior	NOUN
ejpam-6053	95	24	that	that	PRON
ejpam-6053	95	25	are	be	AUX
ejpam-6053	95	26	complex	complex	ADJ
ejpam-6053	95	27	and	and	CCONJ
ejpam-6053	95	28	involve	involve	VERB
ejpam-6053	95	29	fractional	fractional	ADJ
ejpam-6053	95	30	order	order	NOUN
ejpam-6053	95	31	derivatives	derivative	NOUN
ejpam-6053	95	32	.	.	PUNCT
ejpam-6053	96	1	it	it	PRON
ejpam-6053	96	2	contributes	contribute	VERB
ejpam-6053	96	3	to	to	ADP
ejpam-6053	96	4	the	the	DET
ejpam-6053	96	5	increasing	increase	VERB
ejpam-6053	96	6	amount	amount	NOUN
ejpam-6053	96	7	of	of	ADP
ejpam-6053	96	8	studies	study	NOUN
ejpam-6053	96	9	that	that	PRON
ejpam-6053	96	10	recognize	recognize	VERB
ejpam-6053	96	11	fractional	fractional	ADJ
ejpam-6053	96	12	calculus	calculus	NOUN
ejpam-6053	96	13	as	as	ADP
ejpam-6053	96	14	an	an	DET
ejpam-6053	96	15	important	important	ADJ
ejpam-6053	96	16	instrument	instrument	NOUN
ejpam-6053	96	17	for	for	ADP
ejpam-6053	96	18	comprehending	comprehend	VERB
ejpam-6053	96	19	and	and	CCONJ
ejpam-6053	96	20	simulating	simulate	VERB
ejpam-6053	96	21	real	real	ADJ
ejpam-6053	96	22	-	-	PUNCT
ejpam-6053	96	23	world	world	NOUN
ejpam-6053	96	24	events	event	NOUN
ejpam-6053	96	25	.	.	PUNCT
ejpam-6053	97	1	recently	recently	ADV
ejpam-6053	97	2	,	,	PUNCT
ejpam-6053	97	3	authors	author	NOUN
ejpam-6053	97	4	[	[	X
ejpam-6053	97	5	30	30	NUM
ejpam-6053	97	6	]	]	PUNCT
ejpam-6053	97	7	have	have	AUX
ejpam-6053	97	8	studied	study	VERB
ejpam-6053	97	9	the	the	DET
ejpam-6053	97	10	following	following	ADJ
ejpam-6053	97	11	model	model	NOUN
ejpam-6053	97	12	of	of	ADP
ejpam-6053	97	13	virus	virus	NOUN
ejpam-6053	97	14	mutation	mutation	NOUN
ejpam-6053	97	15	involving	involve	VERB
ejpam-6053	97	16	time	time	NOUN
ejpam-6053	97	17	delay	delay	NOUN
ejpam-6053	97	18	as	as	ADP
ejpam-6053	97	19			PROPN
ejpam-6053	97	20	ṡ(t	ṡ(t	NOUN
ejpam-6053	97	21	)	)	PUNCT
ejpam-6053	97	22	=	=	SYM
ejpam-6053	98	1	λ−	λ−	PROPN
ejpam-6053	98	2	ρs(t)−	ρs(t)−	PROPN
ejpam-6053	98	3	ϵ1s(t)ipre(t)−	ϵ1s(t)ipre(t)−	PROPN
ejpam-6053	98	4	ϵ2s(t)ipost(t	ϵ2s(t)ipost(t	PROPN
ejpam-6053	98	5	)	)	PUNCT
ejpam-6053	98	6	l̇e(t	l̇e(t	X
ejpam-6053	98	7	)	)	PUNCT
ejpam-6053	98	8	=	=	SYM
ejpam-6053	98	9	ϵ1s(t)ipre(t	ϵ1s(t)ipre(t	ADJ
ejpam-6053	98	10	)	)	PUNCT
ejpam-6053	98	11	+	+	CCONJ
ejpam-6053	98	12	ϵ2s(t)ipost(t)−	ϵ2s(t)ipost(t)−	PROPN
ejpam-6053	98	13	(	(	PUNCT
ejpam-6053	98	14	ε+	ε+	X
ejpam-6053	98	15	ρ)le	ρ)le	PROPN
ejpam-6053	98	16	i̇pre(t	i̇pre(t	X
ejpam-6053	98	17	)	)	PUNCT
ejpam-6053	98	18	=	=	PUNCT
ejpam-6053	98	19	εle	εle	ADV
ejpam-6053	98	20	−	−	PROPN
ejpam-6053	98	21	(	(	PUNCT
ejpam-6053	98	22	ρ+	ρ+	NUM
ejpam-6053	98	23	κ1)ipre(t)−	κ1)ipre(t)−	PROPN
ejpam-6053	98	24	αipre(t−	αipre(t−	PROPN
ejpam-6053	98	25	θ	θ	PROPN
ejpam-6053	98	26	)	)	PUNCT
ejpam-6053	98	27	i̇post(t	i̇post(t	NOUN
ejpam-6053	98	28	)	)	PUNCT
ejpam-6053	98	29	=	=	SYM
ejpam-6053	98	30	αipre(tθ)−	αipre(tθ)−	PROPN
ejpam-6053	98	31	(	(	PUNCT
ejpam-6053	98	32	ρ+	ρ+	NOUN
ejpam-6053	98	33	κ2)ipost(t	κ2)ipost(t	NOUN
ejpam-6053	98	34	)	)	PUNCT
ejpam-6053	98	35	ṙ(t	ṙ(t	PROPN
ejpam-6053	98	36	)	)	PUNCT
ejpam-6053	98	37	=	=	SYM
ejpam-6053	98	38	κ1ipre(t	κ1ipre(t	PROPN
ejpam-6053	98	39	)	)	PUNCT
ejpam-6053	99	1	+	+	CCONJ
ejpam-6053	99	2	κ2ipost(t)−	κ2ipost(t)−	PROPN
ejpam-6053	99	3	ρr(t	ρr(t	NUM
ejpam-6053	99	4	)	)	PUNCT
ejpam-6053	99	5	,	,	PUNCT
ejpam-6053	99	6	(	(	PUNCT
ejpam-6053	99	7	1	1	X
ejpam-6053	99	8	)	)	PUNCT
ejpam-6053	99	9	eiman	eiman	NOUN
ejpam-6053	99	10	et	et	PROPN
ejpam-6053	99	11	al	al	PROPN
ejpam-6053	99	12	.	.	PUNCT
ejpam-6053	99	13	/	/	SYM
ejpam-6053	99	14	eur	eur	PROPN
ejpam-6053	99	15	.	.	PUNCT
ejpam-6053	100	1	j.	j.	PROPN
ejpam-6053	100	2	pure	pure	PROPN
ejpam-6053	100	3	appl	appl	PROPN
ejpam-6053	100	4	.	.	PROPN
ejpam-6053	100	5	math	math	PROPN
ejpam-6053	100	6	,	,	PUNCT
ejpam-6053	100	7	18	18	NUM
ejpam-6053	100	8	(	(	PUNCT
ejpam-6053	100	9	2	2	NUM
ejpam-6053	100	10	)	)	PUNCT
ejpam-6053	100	11	(	(	PUNCT
ejpam-6053	100	12	2025	2025	NUM
ejpam-6053	100	13	)	)	PUNCT
ejpam-6053	100	14	,	,	PUNCT
ejpam-6053	100	15	6053	6053	NUM
ejpam-6053	100	16	5	5	NUM
ejpam-6053	100	17	of	of	ADP
ejpam-6053	100	18	26	26	NUM
ejpam-6053	100	19	where	where	SCONJ
ejpam-6053	100	20	initial	initial	ADJ
ejpam-6053	100	21	values	value	NOUN
ejpam-6053	100	22	are	be	AUX
ejpam-6053	100	23	given	give	VERB
ejpam-6053	100	24	by	by	ADP
ejpam-6053	100	25	s(0	s(0	PROPN
ejpam-6053	100	26	)	)	PUNCT
ejpam-6053	101	1	=	=	SYM
ejpam-6053	101	2	s0	s0	PROPN
ejpam-6053	101	3	>	>	X
ejpam-6053	101	4	0	0	NUM
ejpam-6053	101	5	,	,	PUNCT
ejpam-6053	101	6	le(0	le(0	PROPN
ejpam-6053	101	7	)	)	PUNCT
ejpam-6053	101	8	=	=	PUNCT
ejpam-6053	101	9	le0	le0	PROPN
ejpam-6053	101	10	≥	≥	NUM
ejpam-6053	101	11	0	0	NUM
ejpam-6053	101	12	,	,	PUNCT
ejpam-6053	101	13	ipre(0	ipre(0	PROPN
ejpam-6053	101	14	)	)	PUNCT
ejpam-6053	101	15	=	=	SYM
ejpam-6053	102	1	ipre0	ipre0	NOUN
ejpam-6053	102	2	≥	≥	NOUN
ejpam-6053	102	3	0	0	NUM
ejpam-6053	102	4	,	,	PUNCT
ejpam-6053	102	5	ipost(0	ipost(0	NOUN
ejpam-6053	102	6	)	)	PUNCT
ejpam-6053	103	1	=	=	PUNCT
ejpam-6053	103	2	ipost0	ipost0	NOUN
ejpam-6053	103	3	≥	≥	NOUN
ejpam-6053	103	4	0	0	NUM
ejpam-6053	103	5	,	,	PUNCT
ejpam-6053	103	6	r(0	r(0	PROPN
ejpam-6053	103	7	)	)	PUNCT
ejpam-6053	104	1	=	=	PUNCT
ejpam-6053	104	2	r0	r0	NOUN
ejpam-6053	104	3	≥	≥	NOUN
ejpam-6053	104	4	0	0	NUM
ejpam-6053	104	5	,	,	PUNCT
ejpam-6053	104	6	(	(	PUNCT
ejpam-6053	104	7	2	2	X
ejpam-6053	104	8	)	)	PUNCT
ejpam-6053	104	9	additionally	additionally	ADV
ejpam-6053	104	10	classes	class	NOUN
ejpam-6053	104	11	and	and	CCONJ
ejpam-6053	104	12	nomenclatures	nomenclature	NOUN
ejpam-6053	104	13	are	be	AUX
ejpam-6053	104	14	defined	define	VERB
ejpam-6053	104	15	as	as	ADP
ejpam-6053	104	16	:	:	PUNCT
ejpam-6053	104	17	s	s	X
ejpam-6053	104	18	:	:	PUNCT
ejpam-6053	104	19	represents	represent	VERB
ejpam-6053	104	20	the	the	DET
ejpam-6053	104	21	susceptible	susceptible	ADJ
ejpam-6053	104	22	individuals	individual	NOUN
ejpam-6053	104	23	in	in	ADP
ejpam-6053	104	24	the	the	DET
ejpam-6053	104	25	population	population	NOUN
ejpam-6053	104	26	.	.	PUNCT
ejpam-6053	105	1	le	le	PUNCT
ejpam-6053	105	2	:	:	PUNCT
ejpam-6053	105	3	represents	represent	VERB
ejpam-6053	105	4	the	the	DET
ejpam-6053	105	5	latently	latently	ADJ
ejpam-6053	105	6	individuals	individual	NOUN
ejpam-6053	105	7	who	who	PRON
ejpam-6053	105	8	have	have	AUX
ejpam-6053	105	9	been	be	AUX
ejpam-6053	105	10	exposed	expose	VERB
ejpam-6053	105	11	(	(	PUNCT
ejpam-6053	105	12	those	those	PRON
ejpam-6053	105	13	who	who	PRON
ejpam-6053	105	14	are	be	AUX
ejpam-6053	105	15	infected	infect	VERB
ejpam-6053	105	16	but	but	CCONJ
ejpam-6053	105	17	not	not	PART
ejpam-6053	105	18	yet	yet	ADV
ejpam-6053	105	19	contagious	contagious	ADJ
ejpam-6053	105	20	)	)	PUNCT
ejpam-6053	105	21	.	.	PUNCT
ejpam-6053	106	1	ipre	ipre	PROPN
ejpam-6053	106	2	:	:	PUNCT
ejpam-6053	106	3	represents	represent	VERB
ejpam-6053	106	4	the	the	DET
ejpam-6053	106	5	pre	pre	ADJ
ejpam-6053	106	6	-	-	ADJ
ejpam-6053	106	7	mutation	mutation	ADJ
ejpam-6053	106	8	patients	patient	NOUN
ejpam-6053	106	9	(	(	PUNCT
ejpam-6053	106	10	infectious	infectious	ADJ
ejpam-6053	106	11	individuals	individual	NOUN
ejpam-6053	106	12	with	with	ADP
ejpam-6053	106	13	the	the	DET
ejpam-6053	106	14	original	original	ADJ
ejpam-6053	106	15	strain	strain	NOUN
ejpam-6053	106	16	of	of	ADP
ejpam-6053	106	17	the	the	DET
ejpam-6053	106	18	virus	virus	NOUN
ejpam-6053	106	19	)	)	PUNCT
ejpam-6053	106	20	.	.	PUNCT
ejpam-6053	107	1	ipost	ipost	PROPN
ejpam-6053	107	2	:	:	PUNCT
ejpam-6053	107	3	represents	represent	VERB
ejpam-6053	107	4	the	the	DET
ejpam-6053	107	5	post	post	ADJ
ejpam-6053	107	6	-	-	ADJ
ejpam-6053	107	7	mutation	mutation	ADJ
ejpam-6053	107	8	patients	patient	NOUN
ejpam-6053	107	9	(	(	PUNCT
ejpam-6053	107	10	infectious	infectious	ADJ
ejpam-6053	107	11	individuals	individual	NOUN
ejpam-6053	107	12	with	with	ADP
ejpam-6053	107	13	a	a	DET
ejpam-6053	107	14	mutated	mutate	VERB
ejpam-6053	107	15	strain	strain	NOUN
ejpam-6053	107	16	of	of	ADP
ejpam-6053	107	17	the	the	DET
ejpam-6053	107	18	virus	virus	NOUN
ejpam-6053	107	19	)	)	PUNCT
ejpam-6053	107	20	.	.	PUNCT
ejpam-6053	108	1	r	r	X
ejpam-6053	108	2	:	:	PUNCT
ejpam-6053	108	3	represents	represent	VERB
ejpam-6053	108	4	the	the	DET
ejpam-6053	108	5	recovered	recovered	ADJ
ejpam-6053	108	6	individuals	individual	NOUN
ejpam-6053	108	7	.	.	PUNCT
ejpam-6053	109	1	the	the	DET
ejpam-6053	109	2	parameters	parameter	NOUN
ejpam-6053	109	3	used	use	VERB
ejpam-6053	109	4	in	in	ADP
ejpam-6053	109	5	the	the	DET
ejpam-6053	109	6	model	model	NOUN
ejpam-6053	109	7	are	be	AUX
ejpam-6053	109	8	described	describe	VERB
ejpam-6053	109	9	in	in	ADP
ejpam-6053	109	10	table	table	NOUN
ejpam-6053	109	11	1	1	NUM
ejpam-6053	109	12	.	.	PUNCT
ejpam-6053	109	13	parameter	parameter	PROPN
ejpam-6053	109	14	physical	physical	ADJ
ejpam-6053	109	15	description	description	NOUN
ejpam-6053	109	16	λ	λ	NOUN
ejpam-6053	109	17	represents	represent	VERB
ejpam-6053	109	18	the	the	DET
ejpam-6053	109	19	birth	birth	NOUN
ejpam-6053	109	20	rate	rate	NOUN
ejpam-6053	109	21	of	of	ADP
ejpam-6053	109	22	new	new	ADJ
ejpam-6053	109	23	individuals	individual	NOUN
ejpam-6053	109	24	into	into	ADP
ejpam-6053	109	25	the	the	DET
ejpam-6053	109	26	population	population	NOUN
ejpam-6053	109	27	ρ	ρ	NOUN
ejpam-6053	109	28	represents	represent	VERB
ejpam-6053	109	29	the	the	DET
ejpam-6053	109	30	death	death	NOUN
ejpam-6053	109	31	rate	rate	NOUN
ejpam-6053	109	32	in	in	ADP
ejpam-6053	109	33	the	the	DET
ejpam-6053	109	34	population	population	NOUN
ejpam-6053	109	35	ϵ1	ϵ1	VERB
ejpam-6053	109	36	and	and	CCONJ
ejpam-6053	109	37	ϵ2	ϵ2	PROPN
ejpam-6053	109	38	represent	represent	VERB
ejpam-6053	109	39	the	the	DET
ejpam-6053	109	40	rates	rate	NOUN
ejpam-6053	109	41	at	at	ADP
ejpam-6053	109	42	which	which	DET
ejpam-6053	109	43	contact	contact	NOUN
ejpam-6053	109	44	with	with	ADP
ejpam-6053	109	45	pre	pre	NOUN
ejpam-6053	109	46	-	-	NOUN
ejpam-6053	109	47	mutation	mutation	NOUN
ejpam-6053	109	48	and	and	CCONJ
ejpam-6053	109	49	post	post	ADJ
ejpam-6053	109	50	-	-	ADJ
ejpam-6053	109	51	mutation	mutation	ADJ
ejpam-6053	109	52	patients	patient	NOUN
ejpam-6053	109	53	causes	cause	VERB
ejpam-6053	109	54	susceptible	susceptible	ADJ
ejpam-6053	109	55	people	people	NOUN
ejpam-6053	109	56	to	to	PART
ejpam-6053	109	57	become	become	VERB
ejpam-6053	109	58	latently	latently	ADV
ejpam-6053	109	59	exposed	expose	VERB
ejpam-6053	109	60	ε	ε	PROPN
ejpam-6053	109	61	represents	represent	VERB
ejpam-6053	109	62	the	the	DET
ejpam-6053	109	63	rate	rate	NOUN
ejpam-6053	109	64	at	at	ADP
ejpam-6053	109	65	which	which	PRON
ejpam-6053	109	66	latently	latently	ADV
ejpam-6053	109	67	exposed	expose	VERB
ejpam-6053	109	68	people	people	NOUN
ejpam-6053	109	69	get	get	VERB
ejpam-6053	109	70	disease	disease	NOUN
ejpam-6053	109	71	κ1	κ1	NOUN
ejpam-6053	109	72	and	and	CCONJ
ejpam-6053	109	73	κ2	κ2	PROPN
ejpam-6053	109	74	represent	represent	VERB
ejpam-6053	109	75	the	the	DET
ejpam-6053	109	76	rates	rate	NOUN
ejpam-6053	109	77	of	of	ADP
ejpam-6053	109	78	recovery	recovery	NOUN
ejpam-6053	109	79	for	for	ADP
ejpam-6053	109	80	patients	patient	NOUN
ejpam-6053	109	81	before	before	ADP
ejpam-6053	109	82	and	and	CCONJ
ejpam-6053	109	83	after	after	ADP
ejpam-6053	109	84	a	a	DET
ejpam-6053	109	85	mutation	mutation	NOUN
ejpam-6053	109	86	,	,	PUNCT
ejpam-6053	109	87	respectively	respectively	ADV
ejpam-6053	109	88	α	α	PROPN
ejpam-6053	109	89	represents	represent	VERB
ejpam-6053	109	90	the	the	DET
ejpam-6053	109	91	rate	rate	NOUN
ejpam-6053	109	92	of	of	ADP
ejpam-6053	109	93	mutation	mutation	NOUN
ejpam-6053	109	94	from	from	ADP
ejpam-6053	109	95	the	the	DET
ejpam-6053	109	96	pre	pre	NOUN
ejpam-6053	109	97	-	-	NOUN
ejpam-6053	109	98	mutation	mutation	NOUN
ejpam-6053	109	99	to	to	ADP
ejpam-6053	109	100	post	post	ADJ
ejpam-6053	109	101	-	-	ADJ
ejpam-6053	109	102	mutation	mutation	ADJ
ejpam-6053	109	103	state	state	NOUN
ejpam-6053	109	104	θ	θ	PROPN
ejpam-6053	109	105	denotes	denote	NOUN
ejpam-6053	109	106	delay	delay	VERB
ejpam-6053	109	107	term	term	NOUN
ejpam-6053	109	108	table	table	NOUN
ejpam-6053	109	109	1	1	NUM
ejpam-6053	109	110	:	:	PUNCT
ejpam-6053	109	111	physical	physical	ADJ
ejpam-6053	109	112	description	description	NOUN
ejpam-6053	109	113	of	of	ADP
ejpam-6053	109	114	parameters	parameter	NOUN
ejpam-6053	109	115	involve	involve	VERB
ejpam-6053	109	116	in	in	ADP
ejpam-6053	109	117	model	model	NOUN
ejpam-6053	109	118	(	(	PUNCT
ejpam-6053	109	119	1	1	NUM
ejpam-6053	109	120	)	)	PUNCT
ejpam-6053	109	121	.	.	PUNCT
ejpam-6053	110	1	motivated	motivate	VERB
ejpam-6053	110	2	by	by	ADP
ejpam-6053	110	3	the	the	DET
ejpam-6053	110	4	importance	importance	NOUN
ejpam-6053	110	5	of	of	ADP
ejpam-6053	110	6	piecewise	piecewise	NOUN
ejpam-6053	110	7	derivatives	derivative	NOUN
ejpam-6053	110	8	of	of	ADP
ejpam-6053	110	9	fractional	fractional	ADJ
ejpam-6053	110	10	order	order	NOUN
ejpam-6053	110	11	,	,	PUNCT
ejpam-6053	110	12	we	we	PRON
ejpam-6053	110	13	update	update	VERB
ejpam-6053	110	14	the	the	DET
ejpam-6053	110	15	model	model	NOUN
ejpam-6053	110	16	(	(	PUNCT
ejpam-6053	110	17	1	1	NUM
ejpam-6053	110	18	)	)	PUNCT
ejpam-6053	110	19	by	by	ADP
ejpam-6053	110	20	omitting	omit	VERB
ejpam-6053	110	21	the	the	DET
ejpam-6053	110	22	delays	delay	NOUN
ejpam-6053	110	23	terms	term	NOUN
ejpam-6053	110	24	and	and	CCONJ
ejpam-6053	110	25	involving	involve	VERB
ejpam-6053	110	26	fractional	fractional	ADJ
ejpam-6053	110	27	order	order	NOUN
ejpam-6053	110	28	derivative	derivative	ADJ
ejpam-6053	110	29	as	as	PROPN
ejpam-6053	110	30	pabcdξ	pabcdξ	NOUN
ejpam-6053	110	31	+0(s)(t	+0(s)(t	NOUN
ejpam-6053	110	32	)	)	PUNCT
ejpam-6053	111	1	=	=	NOUN
ejpam-6053	112	1	λξ	λξ	ADP
ejpam-6053	112	2	−	−	PROPN
ejpam-6053	112	3	ρξs(t)−	ρξs(t)−	PROPN
ejpam-6053	112	4	ϵξ1s(t)ipre(t)−	ϵξ1s(t)ipre(t)−	PROPN
ejpam-6053	112	5	ϵξ2s(t)ipost(t	ϵξ2s(t)ipost(t	NOUN
ejpam-6053	112	6	)	)	PUNCT
ejpam-6053	112	7	pabcdξ	pabcdξ	NOUN
ejpam-6053	112	8	+0(le)(t	+0(le)(t	NOUN
ejpam-6053	112	9	)	)	PUNCT
ejpam-6053	112	10	=	=	SYM
ejpam-6053	112	11	ϵξ1s(t)ipre(t	ϵξ1s(t)ipre(t	PROPN
ejpam-6053	112	12	)	)	PUNCT
ejpam-6053	113	1	+	+	CCONJ
ejpam-6053	113	2	ϵξ2s(t)ipost(t)−	ϵξ2s(t)ipost(t)−	X
ejpam-6053	113	3	(	(	PUNCT
ejpam-6053	113	4	εξ	εξ	NOUN
ejpam-6053	113	5	+	+	X
ejpam-6053	113	6	ρξ)le	ρξ)le	X
ejpam-6053	113	7	pabcdξ	pabcdξ	ADJ
ejpam-6053	113	8	+0(ipre)(t	+0(ipre)(t	ADJ
ejpam-6053	113	9	)	)	PUNCT
ejpam-6053	113	10	=	=	SYM
ejpam-6053	113	11	εξle	εξle	ADJ
ejpam-6053	113	12	−	−	PROPN
ejpam-6053	113	13	(	(	PUNCT
ejpam-6053	113	14	ρξ	ρξ	PROPN
ejpam-6053	113	15	+	+	CCONJ
ejpam-6053	113	16	κξ1)ipre(t)−	κξ1)ipre(t)−	PROPN
ejpam-6053	113	17	αξipre(t	αξipre(t	PROPN
ejpam-6053	113	18	)	)	PUNCT
ejpam-6053	113	19	pabcdξ	pabcdξ	NOUN
ejpam-6053	113	20	+0(ipost)(t	+0(ipost)(t	PROPN
ejpam-6053	113	21	)	)	PUNCT
ejpam-6053	113	22	=	=	SYM
ejpam-6053	113	23	αξipre(t)−	αξipre(t)−	PROPN
ejpam-6053	113	24	(	(	PUNCT
ejpam-6053	113	25	ρξ	ρξ	ADJ
ejpam-6053	113	26	+	+	CCONJ
ejpam-6053	113	27	κξ2)ipost(t	κξ2)ipost(t	NOUN
ejpam-6053	113	28	)	)	PUNCT
ejpam-6053	113	29	pabcdξ	pabcdξ	NOUN
ejpam-6053	113	30	+0(r)(t	+0(r)(t	NOUN
ejpam-6053	113	31	)	)	PUNCT
ejpam-6053	113	32	=	=	SYM
ejpam-6053	113	33	κξ1ipre(t	κξ1ipre(t	ADJ
ejpam-6053	113	34	)	)	PUNCT
ejpam-6053	113	35	+	+	CCONJ
ejpam-6053	113	36	κξ2ipost(t)−	κξ2ipost(t)−	PROPN
ejpam-6053	113	37	ρξr(t	ρξr(t	NOUN
ejpam-6053	113	38	)	)	PUNCT
ejpam-6053	113	39	.	.	PUNCT
ejpam-6053	114	1	(	(	PUNCT
ejpam-6053	114	2	3	3	X
ejpam-6053	114	3	)	)	PUNCT
ejpam-6053	114	4	the	the	DET
ejpam-6053	114	5	model	model	NOUN
ejpam-6053	114	6	(	(	PUNCT
ejpam-6053	114	7	3	3	X
ejpam-6053	114	8	)	)	PUNCT
ejpam-6053	114	9	explains	explain	VERB
ejpam-6053	114	10	a	a	DET
ejpam-6053	114	11	compartmental	compartmental	ADJ
ejpam-6053	114	12	model	model	NOUN
ejpam-6053	114	13	with	with	ADP
ejpam-6053	114	14	pre	pre	ADJ
ejpam-6053	114	15	and	and	CCONJ
ejpam-6053	114	16	post	post	VERB
ejpam-6053	114	17	mutation	mutation	NOUN
ejpam-6053	114	18	of	of	ADP
ejpam-6053	114	19	virus	virus	NOUN
ejpam-6053	114	20	.	.	PUNCT
ejpam-6053	115	1	to	to	PART
ejpam-6053	115	2	include	include	VERB
ejpam-6053	115	3	genetic	genetic	ADJ
ejpam-6053	115	4	traits	trait	NOUN
ejpam-6053	115	5	and	and	CCONJ
ejpam-6053	115	6	historical	historical	ADJ
ejpam-6053	115	7	background	background	NOUN
ejpam-6053	115	8	in	in	ADP
ejpam-6053	115	9	the	the	DET
ejpam-6053	115	10	model	model	NOUN
ejpam-6053	115	11	(	(	PUNCT
ejpam-6053	115	12	3	3	NUM
ejpam-6053	115	13	)	)	PUNCT
ejpam-6053	115	14	,	,	PUNCT
ejpam-6053	115	15	a	a	DET
ejpam-6053	115	16	new	new	ADJ
ejpam-6053	115	17	approach	approach	NOUN
ejpam-6053	115	18	called	call	VERB
ejpam-6053	115	19	the	the	DET
ejpam-6053	115	20	piecewise	piecewise	NOUN
ejpam-6053	115	21	differential	differential	NOUN
ejpam-6053	115	22	and	and	CCONJ
ejpam-6053	115	23	integral	integral	ADJ
ejpam-6053	115	24	operators	operator	NOUN
ejpam-6053	115	25	are	be	AUX
ejpam-6053	115	26	used	use	VERB
ejpam-6053	115	27	.	.	PUNCT
ejpam-6053	116	1	extending	extend	VERB
ejpam-6053	116	2	the	the	DET
ejpam-6053	116	3	standard	standard	ADJ
ejpam-6053	116	4	analysis	analysis	NOUN
ejpam-6053	116	5	used	use	VERB
ejpam-6053	116	6	in	in	ADP
ejpam-6053	116	7	[	[	X
ejpam-6053	116	8	31	31	NUM
ejpam-6053	116	9	,	,	PUNCT
ejpam-6053	116	10	32	32	NUM
ejpam-6053	116	11	]	]	PUNCT
ejpam-6053	116	12	,	,	PUNCT
ejpam-6053	116	13	we	we	PRON
ejpam-6053	116	14	compute	compute	VERB
ejpam-6053	116	15	fundamental	fundamental	ADJ
ejpam-6053	116	16	ratio	ratio	NOUN
ejpam-6053	116	17	,	,	PUNCT
ejpam-6053	116	18	equilibrium	equilibrium	NOUN
ejpam-6053	116	19	points	point	NOUN
ejpam-6053	116	20	and	and	CCONJ
ejpam-6053	116	21	predict	predict	VERB
ejpam-6053	116	22	the	the	DET
ejpam-6053	116	23	local	local	ADJ
ejpam-6053	116	24	asymptotical	asymptotical	ADJ
ejpam-6053	116	25	stability	stability	NOUN
ejpam-6053	116	26	of	of	ADP
ejpam-6053	116	27	trivial	trivial	ADJ
ejpam-6053	116	28	equilibrium	equilibrium	NOUN
ejpam-6053	116	29	point	point	NOUN
ejpam-6053	116	30	.	.	PUNCT
ejpam-6053	117	1	recently	recently	ADV
ejpam-6053	117	2	,	,	PUNCT
ejpam-6053	117	3	researchers	researcher	NOUN
ejpam-6053	117	4	have	have	AUX
ejpam-6053	117	5	applied	apply	VERB
ejpam-6053	117	6	various	various	ADJ
ejpam-6053	117	7	tools	tool	NOUN
ejpam-6053	117	8	to	to	PART
ejpam-6053	117	9	investigate	investigate	VERB
ejpam-6053	117	10	different	different	ADJ
ejpam-6053	117	11	fractional	fractional	ADJ
ejpam-6053	117	12	order	order	NOUN
ejpam-6053	117	13	models	model	NOUN
ejpam-6053	117	14	.	.	PUNCT
ejpam-6053	118	1	we	we	PRON
ejpam-6053	118	2	refer	refer	VERB
ejpam-6053	118	3	some	some	DET
ejpam-6053	118	4	published	publish	VERB
ejpam-6053	118	5	works	work	NOUN
ejpam-6053	118	6	as	as	ADP
ejpam-6053	118	7	[	[	X
ejpam-6053	118	8	33–36	33–36	NUM
ejpam-6053	118	9	]	]	X
ejpam-6053	118	10	.	.	PUNCT
ejpam-6053	119	1	moreover	moreover	ADV
ejpam-6053	119	2	,	,	PUNCT
ejpam-6053	119	3	a	a	DET
ejpam-6053	119	4	volteralyapunov	volteralyapunov	ADJ
ejpam-6053	119	5	function	function	NOUN
ejpam-6053	119	6	is	be	AUX
ejpam-6053	119	7	constructed	construct	VERB
ejpam-6053	119	8	to	to	PART
ejpam-6053	119	9	show	show	VERB
ejpam-6053	119	10	the	the	DET
ejpam-6053	119	11	global	global	ADJ
ejpam-6053	119	12	stability	stability	NOUN
ejpam-6053	119	13	for	for	ADP
ejpam-6053	119	14	endemic	endemic	ADJ
ejpam-6053	119	15	equilibrium	equilibrium	NOUN
ejpam-6053	119	16	.	.	PUNCT
ejpam-6053	120	1	here	here	ADV
ejpam-6053	120	2	we	we	PRON
ejpam-6053	120	3	use	use	VERB
ejpam-6053	120	4	the	the	DET
ejpam-6053	120	5	adopted	adopt	VERB
ejpam-6053	120	6	derivative	derivative	NOUN
ejpam-6053	120	7	to	to	PART
ejpam-6053	120	8	deduce	deduce	VERB
ejpam-6053	120	9	the	the	DET
ejpam-6053	120	10	eiman	eiman	NOUN
ejpam-6053	120	11	et	et	PROPN
ejpam-6053	120	12	al	al	PROPN
ejpam-6053	120	13	.	.	PUNCT
ejpam-6053	120	14	/	/	SYM
ejpam-6053	120	15	eur	eur	PROPN
ejpam-6053	120	16	.	.	PUNCT
ejpam-6053	121	1	j.	j.	PROPN
ejpam-6053	121	2	pure	pure	PROPN
ejpam-6053	121	3	appl	appl	PROPN
ejpam-6053	121	4	.	.	PROPN
ejpam-6053	121	5	math	math	PROPN
ejpam-6053	121	6	,	,	PUNCT
ejpam-6053	121	7	18	18	NUM
ejpam-6053	121	8	(	(	PUNCT
ejpam-6053	121	9	2	2	NUM
ejpam-6053	121	10	)	)	PUNCT
ejpam-6053	121	11	(	(	PUNCT
ejpam-6053	121	12	2025	2025	NUM
ejpam-6053	121	13	)	)	PUNCT
ejpam-6053	121	14	,	,	PUNCT
ejpam-6053	121	15	6053	6053	NUM
ejpam-6053	121	16	6	6	NUM
ejpam-6053	121	17	of	of	ADP
ejpam-6053	121	18	26	26	NUM
ejpam-6053	121	19	required	require	VERB
ejpam-6053	121	20	results	result	NOUN
ejpam-6053	121	21	.	.	PUNCT
ejpam-6053	122	1	additionally	additionally	ADV
ejpam-6053	122	2	,	,	PUNCT
ejpam-6053	122	3	we	we	PRON
ejpam-6053	122	4	will	will	AUX
ejpam-6053	122	5	use	use	VERB
ejpam-6053	122	6	fixed	fixed	ADJ
ejpam-6053	122	7	point	point	NOUN
ejpam-6053	122	8	theory	theory	NOUN
ejpam-6053	122	9	,	,	PUNCT
ejpam-6053	122	10	and	and	CCONJ
ejpam-6053	122	11	numerical	numerical	ADJ
ejpam-6053	122	12	tools	tool	NOUN
ejpam-6053	122	13	based	base	VERB
ejpam-6053	122	14	on	on	ADP
ejpam-6053	122	15	to	to	PART
ejpam-6053	122	16	investigate	investigate	VERB
ejpam-6053	122	17	the	the	DET
ejpam-6053	122	18	existence	existence	NOUN
ejpam-6053	122	19	theory	theory	NOUN
ejpam-6053	122	20	and	and	CCONJ
ejpam-6053	122	21	simulate	simulate	VERB
ejpam-6053	122	22	the	the	DET
ejpam-6053	122	23	model	model	NOUN
ejpam-6053	122	24	(	(	PUNCT
ejpam-6053	122	25	3	3	NUM
ejpam-6053	122	26	)	)	PUNCT
ejpam-6053	122	27	.	.	PUNCT
ejpam-6053	123	1	various	various	ADJ
ejpam-6053	123	2	graphical	graphical	ADJ
ejpam-6053	123	3	presentations	presentation	NOUN
ejpam-6053	123	4	with	with	ADP
ejpam-6053	123	5	different	different	ADJ
ejpam-6053	123	6	fractional	fractional	ADJ
ejpam-6053	123	7	orders	order	NOUN
ejpam-6053	123	8	are	be	AUX
ejpam-6053	123	9	displayed	display	VERB
ejpam-6053	123	10	for	for	ADP
ejpam-6053	123	11	the	the	DET
ejpam-6053	123	12	proposed	propose	VERB
ejpam-6053	123	13	model	model	NOUN
ejpam-6053	123	14	.	.	PUNCT
ejpam-6053	124	1	2	2	X
ejpam-6053	124	2	.	.	X
ejpam-6053	125	1	some	some	DET
ejpam-6053	125	2	preliminaries	preliminary	NOUN
ejpam-6053	125	3	we	we	PRON
ejpam-6053	125	4	define	define	VERB
ejpam-6053	125	5	here	here	ADV
ejpam-6053	125	6	the	the	DET
ejpam-6053	125	7	banach	banach	NOUN
ejpam-6053	125	8	space	space	NOUN
ejpam-6053	125	9	by	by	ADP
ejpam-6053	125	10	b	b	PROPN
ejpam-6053	125	11	=	=	SYM
ejpam-6053	125	12	c(j	c(j	PROPN
ejpam-6053	125	13	)	)	PUNCT
ejpam-6053	125	14	,	,	PUNCT
ejpam-6053	125	15	where	where	SCONJ
ejpam-6053	125	16	j	j	PROPN
ejpam-6053	125	17	=	=	PUNCT
ejpam-6053	126	1	[	[	X
ejpam-6053	126	2	0	0	NUM
ejpam-6053	126	3	,	,	PUNCT
ejpam-6053	126	4	t	t	X
ejpam-6053	126	5	]	]	PUNCT
ejpam-6053	126	6	,	,	PUNCT
ejpam-6053	126	7	j1	j1	PROPN
ejpam-6053	126	8	=	=	PUNCT
ejpam-6053	127	1	[	[	X
ejpam-6053	127	2	0	0	NUM
ejpam-6053	127	3	,	,	PUNCT
ejpam-6053	127	4	t1	t1	NOUN
ejpam-6053	127	5	]	]	X
ejpam-6053	127	6	,	,	PUNCT
ejpam-6053	127	7	j2	j2	PROPN
ejpam-6053	127	8	=	=	SYM
ejpam-6053	127	9	(	(	PUNCT
ejpam-6053	127	10	t1	t1	PROPN
ejpam-6053	127	11	,	,	PUNCT
ejpam-6053	127	12	t	t	X
ejpam-6053	127	13	]	]	PUNCT
ejpam-6053	127	14	with	with	ADP
ejpam-6053	127	15	norm	norm	NOUN
ejpam-6053	127	16	defined	define	VERB
ejpam-6053	127	17	by	by	ADP
ejpam-6053	127	18	∥ω∥	∥ω∥	NOUN
ejpam-6053	127	19	=	=	SYM
ejpam-6053	127	20	supt∈j	supt∈j	PROPN
ejpam-6053	127	21	{	{	PUNCT
ejpam-6053	127	22	|ω(t)|	|ω(t)|	NOUN
ejpam-6053	127	23	,	,	PUNCT
ejpam-6053	127	24	ω	ω	PROPN
ejpam-6053	127	25	∈	∈	PROPN
ejpam-6053	127	26	b	b	X
ejpam-6053	127	27	}	}	PUNCT
ejpam-6053	127	28	.	.	PUNCT
ejpam-6053	128	1	here	here	ADV
ejpam-6053	128	2	,	,	PUNCT
ejpam-6053	128	3	we	we	PRON
ejpam-6053	128	4	recollect	recollect	VERB
ejpam-6053	128	5	some	some	DET
ejpam-6053	128	6	basic	basic	ADJ
ejpam-6053	128	7	tools	tool	NOUN
ejpam-6053	128	8	needed	need	VERB
ejpam-6053	128	9	throughout	throughout	ADP
ejpam-6053	128	10	this	this	DET
ejpam-6053	128	11	paper	paper	NOUN
ejpam-6053	128	12	.	.	PUNCT
ejpam-6053	129	1	definition	definition	NOUN
ejpam-6053	129	2	1	1	NUM
ejpam-6053	129	3	.	.	PUNCT
ejpam-6053	130	1	[	[	X
ejpam-6053	130	2	28	28	NUM
ejpam-6053	130	3	]	]	X
ejpam-6053	130	4	the	the	DET
ejpam-6053	130	5	abc	abc	PROPN
ejpam-6053	130	6	derivative	derivative	NOUN
ejpam-6053	130	7	of	of	ADP
ejpam-6053	130	8	a	a	DET
ejpam-6053	130	9	function	function	NOUN
ejpam-6053	130	10	ψ	ψ	X
ejpam-6053	130	11	∈	∈	PROPN
ejpam-6053	130	12	h1(j	h1(j	NOUN
ejpam-6053	130	13	)	)	PUNCT
ejpam-6053	130	14	is	be	AUX
ejpam-6053	130	15	defined	define	VERB
ejpam-6053	130	16	as	as	SCONJ
ejpam-6053	130	17	follows	follow	VERB
ejpam-6053	130	18	:	:	PUNCT
ejpam-6053	130	19	abcdξ	abcdξ	NOUN
ejpam-6053	130	20	+0(ψ(t	+0(ψ(t	PUNCT
ejpam-6053	130	21	)	)	PUNCT
ejpam-6053	130	22	)	)	PUNCT
ejpam-6053	131	1	=	=	SYM
ejpam-6053	131	2	abc(ξ	abc(ξ	NOUN
ejpam-6053	131	3	)	)	PUNCT
ejpam-6053	131	4	1−	1−	NUM
ejpam-6053	132	1	ξ	ξ	X
ejpam-6053	132	2	∫	∫	PROPN
ejpam-6053	132	3	t	t	NOUN
ejpam-6053	132	4	0	0	PUNCT
ejpam-6053	133	1	d	d	X
ejpam-6053	133	2	dζ	dζ	PROPN
ejpam-6053	133	3	ψ(ℓ)eξ	ψ(ℓ)eξ	PRON
ejpam-6053	133	4	[	[	PUNCT
ejpam-6053	133	5	−ξ	−ξ	NOUN
ejpam-6053	133	6	1−	1−	NUM
ejpam-6053	133	7	ξ	ξ	PROPN
ejpam-6053	133	8	(	(	PUNCT
ejpam-6053	133	9	t−	t−	PROPN
ejpam-6053	133	10	ℓ	ℓ	PROPN
ejpam-6053	133	11	)	)	PUNCT
ejpam-6053	134	1	ξ	ξ	PROPN
ejpam-6053	134	2	]	]	X
ejpam-6053	134	3	dℓ.	dℓ.	X
ejpam-6053	134	4	(	(	PUNCT
ejpam-6053	134	5	4	4	NUM
ejpam-6053	134	6	)	)	PUNCT
ejpam-6053	134	7	where	where	SCONJ
ejpam-6053	134	8	abc(0	abc(0	NUM
ejpam-6053	134	9	)	)	PUNCT
ejpam-6053	134	10	=	=	PUNCT
ejpam-6053	134	11	abc(1	abc(1	NOUN
ejpam-6053	134	12	)	)	PUNCT
ejpam-6053	135	1	=	=	SYM
ejpam-6053	135	2	1	1	X
ejpam-6053	135	3	.	.	X
ejpam-6053	135	4	also	also	ADV
ejpam-6053	135	5	eξ	eξ	PROPN
ejpam-6053	135	6	stands	stand	VERB
ejpam-6053	135	7	for	for	ADP
ejpam-6053	135	8	mittag	mittag	ADJ
ejpam-6053	135	9	-	-	PUNCT
ejpam-6053	135	10	leffler	leffler	NOUN
ejpam-6053	135	11	function	function	NOUN
ejpam-6053	135	12	.	.	PUNCT
ejpam-6053	136	1	definition	definition	NOUN
ejpam-6053	136	2	2	2	NUM
ejpam-6053	136	3	.	.	PUNCT
ejpam-6053	137	1	[	[	X
ejpam-6053	137	2	28	28	NUM
ejpam-6053	137	3	]	]	X
ejpam-6053	137	4	if	if	SCONJ
ejpam-6053	137	5	ψ	ψ	ADP
ejpam-6053	137	6	∈	∈	PROPN
ejpam-6053	137	7	l(j	l(j	NOUN
ejpam-6053	137	8	)	)	PUNCT
ejpam-6053	137	9	,	,	PUNCT
ejpam-6053	137	10	then	then	ADV
ejpam-6053	137	11	ab	ab	PROPN
ejpam-6053	137	12	fractional	fractional	ADJ
ejpam-6053	137	13	integral	integral	NOUN
ejpam-6053	137	14	is	be	AUX
ejpam-6053	137	15	given	give	VERB
ejpam-6053	137	16	by	by	ADP
ejpam-6053	137	17	abciξ+0ψ(t	abciξ+0ψ(t	PROPN
ejpam-6053	137	18	)	)	PUNCT
ejpam-6053	137	19	=	=	PUNCT
ejpam-6053	138	1	1−	1−	NUM
ejpam-6053	138	2	ξ	ξ	SYM
ejpam-6053	138	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	138	4	)	)	PUNCT
ejpam-6053	138	5	ψ(t	ψ(t	PROPN
ejpam-6053	138	6	)	)	PUNCT
ejpam-6053	139	1	+	+	CCONJ
ejpam-6053	139	2	ξ	ξ	X
ejpam-6053	139	3	abc(ξ)γ(ξ	abc(ξ)γ(ξ	PROPN
ejpam-6053	139	4	)	)	PUNCT
ejpam-6053	139	5	∫	∫	PROPN
ejpam-6053	139	6	t	t	PROPN
ejpam-6053	139	7	0	0	NUM
ejpam-6053	139	8	(	(	PUNCT
ejpam-6053	139	9	t−	t−	PROPN
ejpam-6053	139	10	ℓ)ξ−1ψ(ℓ)dℓ.	ℓ)ξ−1ψ(ℓ)dℓ.	PROPN
ejpam-6053	139	11	(	(	PUNCT
ejpam-6053	139	12	5	5	NUM
ejpam-6053	139	13	)	)	PUNCT
ejpam-6053	139	14	definition	definition	NOUN
ejpam-6053	139	15	3	3	NUM
ejpam-6053	139	16	.	.	PUNCT
ejpam-6053	140	1	[	[	X
ejpam-6053	140	2	28	28	NUM
ejpam-6053	140	3	]	]	PUNCT
ejpam-6053	140	4	for	for	ADP
ejpam-6053	140	5	differentiable	differentiable	ADJ
ejpam-6053	140	6	function	function	NOUN
ejpam-6053	140	7	ψ	ψ	NOUN
ejpam-6053	140	8	,	,	PUNCT
ejpam-6053	140	9	the	the	DET
ejpam-6053	140	10	piecewise	piecewise	NOUN
ejpam-6053	140	11	fractional	fractional	ADJ
ejpam-6053	140	12	derivative	derivative	NOUN
ejpam-6053	140	13	in	in	ADP
ejpam-6053	140	14	abc	abc	PROPN
ejpam-6053	140	15	sense	sense	NOUN
ejpam-6053	140	16	is	be	AUX
ejpam-6053	140	17	given	give	VERB
ejpam-6053	140	18	as	as	ADP
ejpam-6053	140	19	pabcdξ	pabcdξ	NOUN
ejpam-6053	140	20	+0ψ(t	+0ψ(t	PROPN
ejpam-6053	140	21	)	)	PUNCT
ejpam-6053	140	22	=	=	PRON
ejpam-6053	140	23	{	{	PUNCT
ejpam-6053	140	24	c	c	NOUN
ejpam-6053	140	25	0	0	PUNCT
ejpam-6053	140	26	d	d	SYM
ejpam-6053	140	27	ξ	ξ	PROPN
ejpam-6053	140	28	tψ(t	tψ(t	NUM
ejpam-6053	140	29	)	)	PUNCT
ejpam-6053	140	30	,	,	PUNCT
ejpam-6053	140	31	j1	j1	PROPN
ejpam-6053	140	32	,	,	PUNCT
ejpam-6053	140	33	abcdξ	abcdξ	NOUN
ejpam-6053	140	34	+0ψ(t	+0ψ(t	PROPN
ejpam-6053	140	35	)	)	PUNCT
ejpam-6053	140	36	j2	j2	PROPN
ejpam-6053	140	37	,	,	PUNCT
ejpam-6053	140	38	,	,	PUNCT
ejpam-6053	140	39	here	here	ADV
ejpam-6053	140	40	pabcdξ	pabcdξ	NOUN
ejpam-6053	140	41	+0ψ(t	+0ψ(t	PROPN
ejpam-6053	140	42	)	)	PUNCT
ejpam-6053	140	43	is	be	AUX
ejpam-6053	140	44	caputo	caputo	PROPN
ejpam-6053	140	45	derivative	derivative	PROPN
ejpam-6053	140	46	for	for	ADP
ejpam-6053	140	47	j1	j1	PROPN
ejpam-6053	140	48	and	and	CCONJ
ejpam-6053	140	49	fractional	fractional	ADJ
ejpam-6053	140	50	abc	abc	PROPN
ejpam-6053	140	51	derivative	derivative	PROPN
ejpam-6053	140	52	for	for	ADP
ejpam-6053	140	53	j2	j2	PROPN
ejpam-6053	140	54	.	.	PUNCT
ejpam-6053	141	1	definition	definition	NOUN
ejpam-6053	141	2	4	4	NUM
ejpam-6053	141	3	.	.	PUNCT
ejpam-6053	142	1	[	[	X
ejpam-6053	142	2	28	28	NUM
ejpam-6053	142	3	]	]	X
ejpam-6053	142	4	the	the	DET
ejpam-6053	142	5	piecewise	piecewise	NOUN
ejpam-6053	142	6	integral	integral	ADJ
ejpam-6053	142	7	in	in	ADP
ejpam-6053	142	8	ab	ab	NOUN
ejpam-6053	142	9	sense	sense	NOUN
ejpam-6053	142	10	is	be	AUX
ejpam-6053	142	11	defined	define	VERB
ejpam-6053	142	12	as	as	ADP
ejpam-6053	142	13	for	for	ADP
ejpam-6053	142	14	continuous	continuous	ADJ
ejpam-6053	142	15	function	function	NOUN
ejpam-6053	142	16	ψ	ψ	X
ejpam-6053	142	17	∈	∈	PROPN
ejpam-6053	142	18	l(j	l(j	PROPN
ejpam-6053	142	19	)	)	PUNCT
ejpam-6053	142	20	pabi+0ψ(t	pabi+0ψ(t	PROPN
ejpam-6053	142	21	)	)	PUNCT
ejpam-6053	142	22	=	=	PUNCT
ejpam-6053	143	1			PROPN
ejpam-6053	143	2	1	1	NUM
ejpam-6053	143	3	γξ	γξ	ADP
ejpam-6053	143	4	∫	∫	PROPN
ejpam-6053	143	5	t	t	PROPN
ejpam-6053	143	6	t1	t1	PROPN
ejpam-6053	143	7	(	(	PUNCT
ejpam-6053	143	8	t−	t−	PROPN
ejpam-6053	143	9	ℓ)ξ−1ψ(ℓ)d(ℓ	ℓ)ξ−1ψ(ℓ)d(ℓ	PROPN
ejpam-6053	143	10	)	)	PUNCT
ejpam-6053	143	11	,	,	PUNCT
ejpam-6053	143	12	j1	j1	PROPN
ejpam-6053	143	13	,	,	PUNCT
ejpam-6053	143	14	1−	1−	NUM
ejpam-6053	143	15	ξ	ξ	PRON
ejpam-6053	143	16	abcξ	abcξ	NOUN
ejpam-6053	143	17	ψ(t	ψ(t	PROPN
ejpam-6053	143	18	)	)	PUNCT
ejpam-6053	143	19	+	+	SYM
ejpam-6053	143	20	ξ	ξ	X
ejpam-6053	143	21	abcξγξ	abcξγξ	NOUN
ejpam-6053	143	22	∫	∫	PROPN
ejpam-6053	143	23	t	t	PROPN
ejpam-6053	143	24	t1	t1	PROPN
ejpam-6053	143	25	(	(	PUNCT
ejpam-6053	143	26	t−	t−	PROPN
ejpam-6053	143	27	ℓ)ξ−1ψ(ℓ)d(ℓ	ℓ)ξ−1ψ(ℓ)d(ℓ	PROPN
ejpam-6053	143	28	)	)	PUNCT
ejpam-6053	143	29	,	,	PUNCT
ejpam-6053	143	30	j2	j2	PROPN
ejpam-6053	143	31	,	,	PUNCT
ejpam-6053	143	32	,	,	PUNCT
ejpam-6053	143	33	here	here	ADV
ejpam-6053	143	34	pabi+0ψ(t	pabi+0ψ(t	PROPN
ejpam-6053	143	35	)	)	PUNCT
ejpam-6053	143	36	is	be	AUX
ejpam-6053	143	37	riemann	riemann	PROPN
ejpam-6053	143	38	-	-	PUNCT
ejpam-6053	143	39	liouville	liouville	NOUN
ejpam-6053	143	40	integration	integration	NOUN
ejpam-6053	143	41	for	for	ADP
ejpam-6053	143	42	j1	j1	PROPN
ejpam-6053	143	43	and	and	CCONJ
ejpam-6053	143	44	ab	ab	PROPN
ejpam-6053	143	45	integration	integration	NOUN
ejpam-6053	143	46	for	for	ADP
ejpam-6053	143	47	j2	j2	PROPN
ejpam-6053	143	48	.	.	PUNCT
ejpam-6053	144	1	lemma	lemma	PROPN
ejpam-6053	144	2	1	1	NUM
ejpam-6053	144	3	.	.	PUNCT
ejpam-6053	145	1	[	[	X
ejpam-6053	145	2	28	28	NUM
ejpam-6053	145	3	]	]	PUNCT
ejpam-6053	145	4	the	the	DET
ejpam-6053	145	5	equation	equation	NOUN
ejpam-6053	145	6	pabcdξ	pabcdξ	NOUN
ejpam-6053	145	7	+0ψ(t	+0ψ(t	PROPN
ejpam-6053	145	8	)	)	PUNCT
ejpam-6053	145	9	=	=	SYM
ejpam-6053	145	10	ϕ(t	ϕ(t	NUM
ejpam-6053	145	11	)	)	PUNCT
ejpam-6053	145	12	,	,	PUNCT
ejpam-6053	145	13	0	0	NUM
ejpam-6053	145	14	<	<	X
ejpam-6053	145	15	ξ	ξ	X
ejpam-6053	145	16	≤	≤	NUM
ejpam-6053	145	17	1	1	NUM
ejpam-6053	145	18	has	have	VERB
ejpam-6053	145	19	a	a	DET
ejpam-6053	145	20	unique	unique	ADJ
ejpam-6053	145	21	solution	solution	NOUN
ejpam-6053	145	22	described	describe	VERB
ejpam-6053	145	23	by	by	ADP
ejpam-6053	145	24	ψ(t	ψ(t	PROPN
ejpam-6053	145	25	)	)	PUNCT
ejpam-6053	145	26	=	=	PUNCT
ejpam-6053	146	1			NUM
ejpam-6053	147	1	ψ0	ψ0	NOUN
ejpam-6053	147	2	+	+	ADJ
ejpam-6053	147	3	1	1	NUM
ejpam-6053	147	4	γ(ξ	γ(ξ	PROPN
ejpam-6053	147	5	)	)	PUNCT
ejpam-6053	147	6	∫	∫	PROPN
ejpam-6053	147	7	t	t	PROPN
ejpam-6053	147	8	0	0	NUM
ejpam-6053	147	9	ϕ(ℓ))(t−	ϕ(ℓ))(t−	PROPN
ejpam-6053	147	10	ℓ)ξ−1dℓ	ℓ)ξ−1dℓ	PROPN
ejpam-6053	147	11	,	,	PUNCT
ejpam-6053	147	12	j1	j1	PROPN
ejpam-6053	147	13	,	,	PUNCT
ejpam-6053	147	14	ψ(t1	ψ(t1	NOUN
ejpam-6053	147	15	)	)	PUNCT
ejpam-6053	148	1	+	+	CCONJ
ejpam-6053	148	2	1−	1−	NUM
ejpam-6053	148	3	ξ	ξ	X
ejpam-6053	148	4	abc(ξ	abc(ξ	PROPN
ejpam-6053	148	5	)	)	PUNCT
ejpam-6053	148	6	ϕ(t	ϕ(t	NUM
ejpam-6053	148	7	)	)	PUNCT
ejpam-6053	148	8	)	)	PUNCT
ejpam-6053	149	1	+	+	CCONJ
ejpam-6053	149	2	ξ	ξ	X
ejpam-6053	149	3	abcξγ(ξ	abcξγ(ξ	PROPN
ejpam-6053	149	4	)	)	PUNCT
ejpam-6053	149	5	∫	∫	PROPN
ejpam-6053	149	6	t	t	PROPN
ejpam-6053	149	7	t1	t1	PROPN
ejpam-6053	149	8	(	(	PUNCT
ejpam-6053	149	9	t−	t−	PROPN
ejpam-6053	149	10	ℓ)ξ−1ϕ(ℓ))d(ℓ	ℓ)ξ−1ϕ(ℓ))d(ℓ	NOUN
ejpam-6053	149	11	)	)	PUNCT
ejpam-6053	149	12	,	,	PUNCT
ejpam-6053	149	13	j2	j2	PROPN
ejpam-6053	149	14	.	.	PROPN
ejpam-6053	149	15	eiman	eiman	PROPN
ejpam-6053	149	16	et	et	PROPN
ejpam-6053	149	17	al	al	PROPN
ejpam-6053	149	18	.	.	PUNCT
ejpam-6053	149	19	/	/	SYM
ejpam-6053	149	20	eur	eur	PROPN
ejpam-6053	149	21	.	.	PUNCT
ejpam-6053	150	1	j.	j.	PROPN
ejpam-6053	150	2	pure	pure	PROPN
ejpam-6053	150	3	appl	appl	PROPN
ejpam-6053	150	4	.	.	PROPN
ejpam-6053	150	5	math	math	PROPN
ejpam-6053	150	6	,	,	PUNCT
ejpam-6053	150	7	18	18	NUM
ejpam-6053	150	8	(	(	PUNCT
ejpam-6053	150	9	2	2	NUM
ejpam-6053	150	10	)	)	PUNCT
ejpam-6053	150	11	(	(	PUNCT
ejpam-6053	150	12	2025	2025	NUM
ejpam-6053	150	13	)	)	PUNCT
ejpam-6053	150	14	,	,	PUNCT
ejpam-6053	150	15	6053	6053	NUM
ejpam-6053	150	16	7	7	NUM
ejpam-6053	150	17	of	of	ADP
ejpam-6053	150	18	26	26	NUM
ejpam-6053	150	19	lemma	lemma	PROPN
ejpam-6053	150	20	2	2	NUM
ejpam-6053	150	21	.	.	PUNCT
ejpam-6053	151	1	[	[	X
ejpam-6053	151	2	32	32	NUM
ejpam-6053	151	3	]	]	PUNCT
ejpam-6053	151	4	if	if	SCONJ
ejpam-6053	151	5	z	z	NOUN
ejpam-6053	151	6	∈	∈	PROPN
ejpam-6053	151	7	r+	r+	NOUN
ejpam-6053	151	8	is	be	AUX
ejpam-6053	151	9	continues	continue	VERB
ejpam-6053	151	10	function	function	NOUN
ejpam-6053	151	11	and	and	CCONJ
ejpam-6053	151	12	for	for	ADP
ejpam-6053	151	13	t	t	PROPN
ejpam-6053	151	14	≥	≥	NUM
ejpam-6053	151	15	t0	t0	PROPN
ejpam-6053	151	16	cdξ	cdξ	VERB
ejpam-6053	152	1	+0	+0	ADP
ejpam-6053	152	2	[	[	PUNCT
ejpam-6053	152	3	z(t)−	z(t)−	NUM
ejpam-6053	152	4	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	152	5	z	z	NOUN
ejpam-6053	153	1	−	−	PROPN
ejpam-6053	153	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	153	3	z	z	NOUN
ejpam-6053	153	4	log	log	NOUN
ejpam-6053	153	5	(	(	PUNCT
ejpam-6053	153	6	z︷︸︸︷	z︷︸︸︷	PROPN
ejpam-6053	153	7	z	z	PROPN
ejpam-6053	153	8	)	)	PUNCT
ejpam-6053	153	9	]	]	PUNCT
ejpam-6053	153	10	,	,	PUNCT
ejpam-6053	153	11	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	153	12	z	z	PROPN
ejpam-6053	153	13	∈	∈	PROPN
ejpam-6053	153	14	r+	r+	NOUN
ejpam-6053	153	15	,	,	PUNCT
ejpam-6053	153	16	for	for	ADP
ejpam-6053	153	17	ξ	ξ	PROPN
ejpam-6053	153	18	∈	∈	PROPN
ejpam-6053	153	19	(	(	PUNCT
ejpam-6053	153	20	0	0	NUM
ejpam-6053	153	21	,	,	PUNCT
ejpam-6053	153	22	1	1	NUM
ejpam-6053	153	23	)	)	PUNCT
ejpam-6053	153	24	.	.	PUNCT
ejpam-6053	154	1	3	3	X
ejpam-6053	154	2	.	.	X
ejpam-6053	154	3	feasibility	feasibility	NOUN
ejpam-6053	154	4	,	,	PUNCT
ejpam-6053	154	5	positivity	positivity	NOUN
ejpam-6053	154	6	and	and	CCONJ
ejpam-6053	154	7	existence	existence	NOUN
ejpam-6053	154	8	of	of	ADP
ejpam-6053	154	9	solution	solution	NOUN
ejpam-6053	154	10	here	here	ADV
ejpam-6053	154	11	,	,	PUNCT
ejpam-6053	154	12	we	we	PRON
ejpam-6053	154	13	prove	prove	VERB
ejpam-6053	154	14	a	a	DET
ejpam-6053	154	15	few	few	ADJ
ejpam-6053	154	16	results	result	NOUN
ejpam-6053	154	17	concerning	concern	VERB
ejpam-6053	154	18	equilibrium	equilibrium	NOUN
ejpam-6053	154	19	points	point	NOUN
ejpam-6053	154	20	,	,	PUNCT
ejpam-6053	154	21	positivity	positivity	NOUN
ejpam-6053	154	22	and	and	CCONJ
ejpam-6053	154	23	fundamental	fundamental	ADJ
ejpam-6053	154	24	reproduction	reproduction	NOUN
ejpam-6053	154	25	number	number	NOUN
ejpam-6053	154	26	,	,	PUNCT
ejpam-6053	154	27	invariant	invariant	ADJ
ejpam-6053	154	28	region	region	NOUN
ejpam-6053	154	29	,	,	PUNCT
ejpam-6053	154	30	etc	etc	X
ejpam-6053	154	31	.	.	X
ejpam-6053	155	1	here	here	ADV
ejpam-6053	155	2	,	,	PUNCT
ejpam-6053	155	3	we	we	PRON
ejpam-6053	155	4	note	note	VERB
ejpam-6053	155	5	that	that	SCONJ
ejpam-6053	155	6	the	the	DET
ejpam-6053	155	7	abc	abc	PROPN
ejpam-6053	155	8	derivative	derivative	ADJ
ejpam-6053	155	9	and	and	CCONJ
ejpam-6053	155	10	laplace	laplace	NOUN
ejpam-6053	155	11	transform	transform	NOUN
ejpam-6053	155	12	are	be	AUX
ejpam-6053	155	13	used	use	VERB
ejpam-6053	155	14	to	to	PART
ejpam-6053	155	15	establish	establish	VERB
ejpam-6053	155	16	the	the	DET
ejpam-6053	155	17	aforementioned	aforementioned	ADJ
ejpam-6053	155	18	results	result	NOUN
ejpam-6053	155	19	.	.	PUNCT
ejpam-6053	156	1	theorem	theorem	NOUN
ejpam-6053	156	2	1	1	NUM
ejpam-6053	156	3	.	.	PUNCT
ejpam-6053	157	1	the	the	DET
ejpam-6053	157	2	sector	sector	NOUN
ejpam-6053	157	3	defined	define	VERB
ejpam-6053	157	4	by	by	ADP
ejpam-6053	157	5	θ	θ	X
ejpam-6053	157	6	=	=	SYM
ejpam-6053	157	7	{	{	PUNCT
ejpam-6053	157	8	(	(	PUNCT
ejpam-6053	157	9	s	s	X
ejpam-6053	157	10	,	,	PUNCT
ejpam-6053	157	11	le	le	X
ejpam-6053	157	12	,	,	PUNCT
ejpam-6053	157	13	ipre	ipre	PROPN
ejpam-6053	157	14	,	,	PUNCT
ejpam-6053	157	15	ipost	ipost	VERB
ejpam-6053	157	16	,	,	PUNCT
ejpam-6053	157	17	r	r	NOUN
ejpam-6053	157	18	)	)	PUNCT
ejpam-6053	157	19	∈	∈	PROPN
ejpam-6053	157	20	r5	r5	PROPN
ejpam-6053	157	21	+	+	CCONJ
ejpam-6053	157	22	:	:	PUNCT
ejpam-6053	157	23	n	n	PRON
ejpam-6053	157	24	≤	≤	NOUN
ejpam-6053	157	25	λξ	λξ	X
ejpam-6053	157	26	ρξ	ρξ	VERB
ejpam-6053	157	27	}	}	PUNCT
ejpam-6053	157	28	is	be	AUX
ejpam-6053	157	29	positive	positive	ADJ
ejpam-6053	157	30	invariant	invariant	NOUN
ejpam-6053	157	31	.	.	PUNCT
ejpam-6053	158	1	additionally	additionally	ADV
ejpam-6053	158	2	,	,	PUNCT
ejpam-6053	158	3	every	every	DET
ejpam-6053	158	4	solution	solution	NOUN
ejpam-6053	158	5	is	be	AUX
ejpam-6053	158	6	drawn	draw	VERB
ejpam-6053	158	7	to	to	ADP
ejpam-6053	158	8	r5	r5	PROPN
ejpam-6053	158	9	+	+	PROPN
ejpam-6053	158	10	.	.	PUNCT
ejpam-6053	159	1	proof	proof	NOUN
ejpam-6053	159	2	.	.	PUNCT
ejpam-6053	160	1	adding	add	VERB
ejpam-6053	160	2	all	all	DET
ejpam-6053	160	3	equations	equation	NOUN
ejpam-6053	160	4	of	of	ADP
ejpam-6053	160	5	model	model	NOUN
ejpam-6053	160	6	(	(	PUNCT
ejpam-6053	160	7	3	3	NUM
ejpam-6053	160	8	)	)	PUNCT
ejpam-6053	160	9	,	,	PUNCT
ejpam-6053	160	10	and	and	CCONJ
ejpam-6053	160	11	assuming	assume	VERB
ejpam-6053	160	12	that	that	SCONJ
ejpam-6053	160	13	the	the	DET
ejpam-6053	160	14	population	population	NOUN
ejpam-6053	160	15	as	as	ADP
ejpam-6053	160	16	a	a	DET
ejpam-6053	160	17	whole	whole	NOUN
ejpam-6053	160	18	is	be	AUX
ejpam-6053	160	19	n	n	PRON
ejpam-6053	160	20	pabcdξ	pabcdξ	NOUN
ejpam-6053	160	21	+0n(t	+0n(t	NUM
ejpam-6053	160	22	)	)	PUNCT
ejpam-6053	160	23	=	=	NOUN
ejpam-6053	161	1	λξ	λξ	ADP
ejpam-6053	161	2	−	−	PROPN
ejpam-6053	161	3	ρξ[s	ρξ[s	PROPN
ejpam-6053	161	4	+	+	CCONJ
ejpam-6053	161	5	le	le	X
ejpam-6053	162	1	+	+	CCONJ
ejpam-6053	162	2	ipre	ipre	NOUN
ejpam-6053	162	3	+	+	CCONJ
ejpam-6053	162	4	ipost	ipost	VERB
ejpam-6053	162	5	+	+	NOUN
ejpam-6053	162	6	r	r	NOUN
ejpam-6053	162	7	]	]	X
ejpam-6053	162	8	=	=	PUNCT
ejpam-6053	162	9	λ−	λ−	PROPN
ejpam-6053	162	10	ρξn(t	ρξn(t	NUM
ejpam-6053	162	11	)	)	PUNCT
ejpam-6053	162	12	(	(	PUNCT
ejpam-6053	162	13	6	6	NUM
ejpam-6053	162	14	)	)	PUNCT
ejpam-6053	162	15	which	which	PRON
ejpam-6053	162	16	further	far	ADV
ejpam-6053	162	17	can	can	AUX
ejpam-6053	162	18	be	be	AUX
ejpam-6053	162	19	written	write	VERB
ejpam-6053	162	20	as	as	ADP
ejpam-6053	162	21	pabcdξ	pabcdξ	NOUN
ejpam-6053	162	22	+0n(t	+0n(t	NUM
ejpam-6053	162	23	)	)	PUNCT
ejpam-6053	162	24	=	=	NOUN
ejpam-6053	162	25	{	{	PUNCT
ejpam-6053	162	26	cdξ	cdξ	NOUN
ejpam-6053	162	27	+0n(t	+0n(t	NUM
ejpam-6053	162	28	)	)	PUNCT
ejpam-6053	162	29	=	=	NOUN
ejpam-6053	163	1	λξ	λξ	ADP
ejpam-6053	163	2	−	−	NUM
ejpam-6053	163	3	ρξn(t	ρξn(t	NUM
ejpam-6053	163	4	)	)	PUNCT
ejpam-6053	163	5	,	,	PUNCT
ejpam-6053	163	6	t	t	PROPN
ejpam-6053	163	7	∈	∈	PROPN
ejpam-6053	163	8	j1	j1	PROPN
ejpam-6053	163	9	,	,	PUNCT
ejpam-6053	163	10	abcdξ	abcdξ	NOUN
ejpam-6053	163	11	+0n(t	+0n(t	NUM
ejpam-6053	163	12	)	)	PUNCT
ejpam-6053	163	13	=	=	NOUN
ejpam-6053	164	1	λξ	λξ	ADP
ejpam-6053	164	2	−	−	NUM
ejpam-6053	164	3	ρξn(t	ρξn(t	NUM
ejpam-6053	164	4	)	)	PUNCT
ejpam-6053	164	5	,	,	PUNCT
ejpam-6053	164	6	t	t	PROPN
ejpam-6053	164	7	∈	∈	PROPN
ejpam-6053	164	8	j2	j2	PROPN
ejpam-6053	164	9	.	.	PUNCT
ejpam-6053	165	1	(	(	PUNCT
ejpam-6053	165	2	7	7	X
ejpam-6053	165	3	)	)	PUNCT
ejpam-6053	165	4	using	use	VERB
ejpam-6053	165	5	laplace	laplace	NOUN
ejpam-6053	165	6	transform	transform	NOUN
ejpam-6053	165	7	in	in	ADP
ejpam-6053	165	8	(	(	PUNCT
ejpam-6053	165	9	7	7	NUM
ejpam-6053	165	10	)	)	PUNCT
ejpam-6053	165	11	with	with	ADP
ejpam-6053	165	12	n0	n0	PROPN
ejpam-6053	165	13	is	be	AUX
ejpam-6053	165	14	initial	initial	ADJ
ejpam-6053	165	15	population	population	NOUN
ejpam-6053	165	16	,	,	PUNCT
ejpam-6053	165	17	for	for	ADP
ejpam-6053	165	18	t	t	PROPN
ejpam-6053	165	19	∈	∈	PROPN
ejpam-6053	165	20	j1	j1	PROPN
ejpam-6053	165	21	,	,	PUNCT
ejpam-6053	165	22	one	one	NUM
ejpam-6053	165	23	has	have	VERB
ejpam-6053	165	24	n(t	n(t	PROPN
ejpam-6053	165	25	)	)	PUNCT
ejpam-6053	165	26	=	=	SYM
ejpam-6053	166	1	eξ(−ρξtξ	eξ(−ρξtξ	PROPN
ejpam-6053	166	2	)	)	PUNCT
ejpam-6053	167	1	+	+	CCONJ
ejpam-6053	167	2	λξ	λξ	ADP
ejpam-6053	167	3	ρξ	ρξ	NUM
ejpam-6053	167	4	[	[	PUNCT
ejpam-6053	167	5	1−	1−	NUM
ejpam-6053	167	6	eξ(−ρξtξ	eξ(−ρξtξ	NOUN
ejpam-6053	167	7	)	)	PUNCT
ejpam-6053	167	8	]	]	PUNCT
ejpam-6053	167	9	.	.	PUNCT
ejpam-6053	168	1	(	(	PUNCT
ejpam-6053	168	2	8)	8)	NUM
ejpam-6053	168	3	if	if	SCONJ
ejpam-6053	168	4	t→	t→	PROPN
ejpam-6053	168	5	∞	∞	NUM
ejpam-6053	168	6	in	in	ADP
ejpam-6053	168	7	(	(	PUNCT
ejpam-6053	168	8	8)	8)	NUM
ejpam-6053	168	9	,	,	PUNCT
ejpam-6053	168	10	we	we	PRON
ejpam-6053	168	11	see	see	VERB
ejpam-6053	168	12	that	that	SCONJ
ejpam-6053	168	13	n(t	n(t	NOUN
ejpam-6053	168	14	)	)	PUNCT
ejpam-6053	168	15	→	→	PUNCT
ejpam-6053	168	16	λξ	λξ	ADP
ejpam-6053	168	17	ρξ	ρξ	NUM
ejpam-6053	168	18	.	.	PUNCT
ejpam-6053	169	1	(	(	PUNCT
ejpam-6053	169	2	9	9	NUM
ejpam-6053	169	3	)	)	PUNCT
ejpam-6053	169	4	in	in	ADP
ejpam-6053	169	5	the	the	DET
ejpam-6053	169	6	same	same	ADJ
ejpam-6053	169	7	way	way	NOUN
ejpam-6053	169	8	for	for	ADP
ejpam-6053	169	9	case	case	NOUN
ejpam-6053	169	10	when	when	SCONJ
ejpam-6053	169	11	t	t	PROPN
ejpam-6053	169	12	∈	∈	PROPN
ejpam-6053	169	13	j2	j2	PROPN
ejpam-6053	169	14	,	,	PUNCT
ejpam-6053	169	15	using	use	VERB
ejpam-6053	169	16	ϱ	ϱ	ADP
ejpam-6053	169	17	=	=	SYM
ejpam-6053	169	18	1	1	NUM
ejpam-6053	169	19	1−ξ	1−ξ	NUM
ejpam-6053	169	20	,	,	PUNCT
ejpam-6053	169	21	ϱ+	ϱ+	PUNCT
ejpam-6053	169	22	ρξ	ρξ	X
ejpam-6053	169	23	=	=	SYM
ejpam-6053	169	24	κ	κ	NOUN
ejpam-6053	169	25	,	,	PUNCT
ejpam-6053	169	26	ρξξρξ	ρξξρξ	NOUN
ejpam-6053	169	27	ρξ+ρξ	ρξ+ρξ	NUM
ejpam-6053	169	28	=	=	SYM
ejpam-6053	169	29	λ	λ	NOUN
ejpam-6053	169	30	,	,	PUNCT
ejpam-6053	169	31	1	1	NUM
ejpam-6053	169	32	κ	κ	NOUN
ejpam-6053	169	33	=	=	SYM
ejpam-6053	169	34	κ1	κ1	PROPN
ejpam-6053	169	35	,	,	PUNCT
ejpam-6053	169	36	one	one	NUM
ejpam-6053	169	37	has	have	VERB
ejpam-6053	169	38	l	l	NOUN
ejpam-6053	169	39	[	[	X
ejpam-6053	169	40	n	n	X
ejpam-6053	169	41	exp(ρξt	exp(ρξt	NOUN
ejpam-6053	169	42	)	)	PUNCT
ejpam-6053	169	43	]	]	PUNCT
ejpam-6053	170	1	≤	≤	NUM
ejpam-6053	170	2	λξκ1(s	λξκ1(s	X
ejpam-6053	170	3	ξ	ξ	X
ejpam-6053	170	4	+	+	SYM
ejpam-6053	170	5	ξϱ	ξϱ	NOUN
ejpam-6053	170	6	)	)	PUNCT
ejpam-6053	170	7	νs(sξ	νs(sξ	NOUN
ejpam-6053	170	8	+	+	CCONJ
ejpam-6053	170	9	λ	λ	NOUN
ejpam-6053	170	10	)	)	PUNCT
ejpam-6053	170	11	+	+	CCONJ
ejpam-6053	170	12	n0κ1	n0κ1	X
ejpam-6053	170	13	sξ	sξ	VERB
ejpam-6053	170	14	+	+	X
ejpam-6053	170	15	λ	λ	X
ejpam-6053	170	16	.	.	PUNCT
ejpam-6053	171	1	(	(	PUNCT
ejpam-6053	171	2	10	10	NUM
ejpam-6053	171	3	)	)	PUNCT
ejpam-6053	171	4	from	from	ADP
ejpam-6053	171	5	(	(	PUNCT
ejpam-6053	171	6	10	10	NUM
ejpam-6053	171	7	)	)	PUNCT
ejpam-6053	171	8	on	on	ADP
ejpam-6053	171	9	using	use	VERB
ejpam-6053	171	10	inverse	inverse	ADJ
ejpam-6053	171	11	laplace	laplace	NOUN
ejpam-6053	171	12	transform	transform	NOUN
ejpam-6053	171	13	,	,	PUNCT
ejpam-6053	171	14	one	one	PRON
ejpam-6053	171	15	has	have	VERB
ejpam-6053	171	16	n(t	n(t	PROPN
ejpam-6053	171	17	)	)	PUNCT
ejpam-6053	172	1	=	=	PUNCT
ejpam-6053	173	1	λξ	λξ	NUM
ejpam-6053	173	2	ρξ	ρξ	NUM
ejpam-6053	173	3	[	[	PUNCT
ejpam-6053	173	4	1−	1−	NUM
ejpam-6053	173	5	eξ(−λtξ	eξ(−λtξ	PROPN
ejpam-6053	173	6	)	)	PUNCT
ejpam-6053	173	7	]	]	PUNCT
ejpam-6053	174	1	+	+	X
ejpam-6053	174	2	n0κ1	n0κ1	NOUN
ejpam-6053	174	3	t	t	NOUN
ejpam-6053	174	4	ξ−1eξ	ξ−1eξ	NOUN
ejpam-6053	174	5	,	,	PUNCT
ejpam-6053	174	6	ξ(−λtξ	ξ(−λtξ	PROPN
ejpam-6053	174	7	)	)	PUNCT
ejpam-6053	174	8	.	.	PUNCT
ejpam-6053	175	1	(	(	PUNCT
ejpam-6053	175	2	11	11	NUM
ejpam-6053	175	3	)	)	PUNCT
ejpam-6053	175	4	eiman	eiman	NOUN
ejpam-6053	175	5	et	et	PROPN
ejpam-6053	175	6	al	al	PROPN
ejpam-6053	175	7	.	.	PUNCT
ejpam-6053	175	8	/	/	SYM
ejpam-6053	175	9	eur	eur	PROPN
ejpam-6053	175	10	.	.	PUNCT
ejpam-6053	176	1	j.	j.	PROPN
ejpam-6053	176	2	pure	pure	PROPN
ejpam-6053	176	3	appl	appl	PROPN
ejpam-6053	176	4	.	.	PROPN
ejpam-6053	176	5	math	math	PROPN
ejpam-6053	176	6	,	,	PUNCT
ejpam-6053	176	7	18	18	NUM
ejpam-6053	176	8	(	(	PUNCT
ejpam-6053	176	9	2	2	NUM
ejpam-6053	176	10	)	)	PUNCT
ejpam-6053	176	11	(	(	PUNCT
ejpam-6053	176	12	2025	2025	NUM
ejpam-6053	176	13	)	)	PUNCT
ejpam-6053	176	14	,	,	PUNCT
ejpam-6053	176	15	6053	6053	NUM
ejpam-6053	176	16	8	8	NUM
ejpam-6053	176	17	of	of	ADP
ejpam-6053	176	18	26	26	NUM
ejpam-6053	176	19	at	at	ADP
ejpam-6053	176	20	t→	t→	NOUN
ejpam-6053	176	21	∞	∞	PROPN
ejpam-6053	176	22	,	,	PUNCT
ejpam-6053	176	23	eξ(−λtξ	eξ(−λtξ	PROPN
ejpam-6053	176	24	)	)	PUNCT
ejpam-6053	176	25	→	→	SYM
ejpam-6053	176	26	0	0	NUM
ejpam-6053	176	27	and	and	CCONJ
ejpam-6053	176	28	utilizing	utilize	VERB
ejpam-6053	176	29	l.hoptital	l.hoptital	NOUN
ejpam-6053	176	30	’s	’s	PART
ejpam-6053	176	31	procedure	procedure	NOUN
ejpam-6053	176	32	of	of	ADP
ejpam-6053	176	33	limit	limit	NOUN
ejpam-6053	176	34	repeatedly	repeatedly	ADV
ejpam-6053	176	35	,	,	PUNCT
ejpam-6053	176	36	we	we	PRON
ejpam-6053	176	37	have	have	VERB
ejpam-6053	176	38	lim	lim	PROPN
ejpam-6053	176	39	t→∞	t→∞	PRON
ejpam-6053	177	1	[	[	X
ejpam-6053	177	2	tξ−1eξ	tξ−1eξ	NOUN
ejpam-6053	177	3	,	,	PUNCT
ejpam-6053	177	4	ξ(−λtξ	ξ(−λtξ	PROPN
ejpam-6053	177	5	)	)	PUNCT
ejpam-6053	177	6	]	]	PUNCT
ejpam-6053	178	1	=	=	PUNCT
ejpam-6053	178	2	0	0	X
ejpam-6053	178	3	.	.	PUNCT
ejpam-6053	179	1	hence	hence	ADV
ejpam-6053	179	2	(	(	PUNCT
ejpam-6053	179	3	11	11	NUM
ejpam-6053	179	4	)	)	PUNCT
ejpam-6053	179	5	implies	imply	VERB
ejpam-6053	179	6	that	that	SCONJ
ejpam-6053	179	7	n(t	n(t	PROPN
ejpam-6053	179	8	)	)	PUNCT
ejpam-6053	179	9	→	→	PUNCT
ejpam-6053	180	1	λξ	λξ	ADP
ejpam-6053	180	2	ρξ	ρξ	NUM
ejpam-6053	180	3	.	.	PUNCT
ejpam-6053	181	1	(	(	PUNCT
ejpam-6053	181	2	12	12	NUM
ejpam-6053	181	3	)	)	PUNCT
ejpam-6053	181	4	hence	hence	ADV
ejpam-6053	181	5	,	,	PUNCT
ejpam-6053	181	6	from	from	ADP
ejpam-6053	181	7	(	(	PUNCT
ejpam-6053	181	8	9	9	NUM
ejpam-6053	181	9	)	)	PUNCT
ejpam-6053	181	10	and	and	CCONJ
ejpam-6053	181	11	(	(	PUNCT
ejpam-6053	181	12	12	12	NUM
ejpam-6053	181	13	)	)	PUNCT
ejpam-6053	181	14	,	,	PUNCT
ejpam-6053	181	15	we	we	PRON
ejpam-6053	181	16	have	have	VERB
ejpam-6053	181	17	n(t	n(t	NUM
ejpam-6053	181	18	)	)	PUNCT
ejpam-6053	181	19	→	→	PUNCT
ejpam-6053	181	20	λξ	λξ	NUM
ejpam-6053	181	21	ρξ	ρξ	NOUN
ejpam-6053	181	22	the	the	DET
ejpam-6053	181	23	set	set	ADJ
ejpam-6053	181	24	θ	θ	PROPN
ejpam-6053	181	25	is	be	AUX
ejpam-6053	181	26	feasible	feasible	ADJ
ejpam-6053	181	27	region	region	NOUN
ejpam-6053	181	28	for	for	ADP
ejpam-6053	181	29	bounded	bounded	ADJ
ejpam-6053	181	30	solution	solution	NOUN
ejpam-6053	181	31	,	,	PUNCT
ejpam-6053	181	32	where	where	SCONJ
ejpam-6053	181	33	all	all	DET
ejpam-6053	181	34	solutions	solution	NOUN
ejpam-6053	181	35	lie	lie	VERB
ejpam-6053	181	36	in	in	ADP
ejpam-6053	181	37	the	the	DET
ejpam-6053	181	38	region	region	NOUN
ejpam-6053	181	39	θ	θ	PROPN
ejpam-6053	181	40	.	.	PUNCT
ejpam-6053	181	41	theorem	theorem	NOUN
ejpam-6053	181	42	2	2	NUM
ejpam-6053	181	43	.	.	PUNCT
ejpam-6053	182	1	if	if	SCONJ
ejpam-6053	182	2	{	{	PUNCT
ejpam-6053	182	3	(	(	PUNCT
ejpam-6053	182	4	s(0),le(0	s(0),le(0	NOUN
ejpam-6053	182	5	)	)	PUNCT
ejpam-6053	182	6	,	,	PUNCT
ejpam-6053	182	7	ipre(0	ipre(0	PROPN
ejpam-6053	182	8	)	)	PUNCT
ejpam-6053	182	9	,	,	PUNCT
ejpam-6053	182	10	ipost(0),r(0	ipost(0),r(0	NOUN
ejpam-6053	182	11	)	)	PUNCT
ejpam-6053	182	12	)	)	PUNCT
ejpam-6053	182	13	≥	≥	NOUN
ejpam-6053	182	14	0	0	NUM
ejpam-6053	182	15	}	}	PUNCT
ejpam-6053	182	16	∈	∈	PROPN
ejpam-6053	182	17	r5	r5	PROPN
ejpam-6053	183	1	+	+	PROPN
ejpam-6053	183	2	,	,	PUNCT
ejpam-6053	183	3	then	then	ADV
ejpam-6053	183	4	the	the	DET
ejpam-6053	183	5	solution	solution	NOUN
ejpam-6053	183	6	{	{	PUNCT
ejpam-6053	183	7	(	(	PUNCT
ejpam-6053	183	8	s	s	X
ejpam-6053	183	9	,	,	PUNCT
ejpam-6053	183	10	le	le	X
ejpam-6053	183	11	,	,	PUNCT
ejpam-6053	183	12	ipre	ipre	PROPN
ejpam-6053	183	13	,	,	PUNCT
ejpam-6053	183	14	ipost	ipost	VERB
ejpam-6053	183	15	,	,	PUNCT
ejpam-6053	183	16	r	r	NOUN
ejpam-6053	183	17	)	)	PUNCT
ejpam-6053	183	18	}	}	PUNCT
ejpam-6053	183	19	of	of	ADP
ejpam-6053	183	20	model	model	NOUN
ejpam-6053	183	21	(	(	PUNCT
ejpam-6053	183	22	3	3	NUM
ejpam-6053	183	23	)	)	PUNCT
ejpam-6053	183	24	subject	subject	NOUN
ejpam-6053	183	25	to	to	ADP
ejpam-6053	183	26	the	the	DET
ejpam-6053	183	27	positive	positive	ADJ
ejpam-6053	183	28	initial	initial	ADJ
ejpam-6053	183	29	data	datum	NOUN
ejpam-6053	183	30	is	be	AUX
ejpam-6053	183	31	positive	positive	ADJ
ejpam-6053	183	32	for	for	ADP
ejpam-6053	183	33	all	all	DET
ejpam-6053	183	34	t	t	NOUN
ejpam-6053	183	35	>	>	X
ejpam-6053	183	36	0	0	X
ejpam-6053	183	37	.	.	PUNCT
ejpam-6053	184	1	proof	proof	NOUN
ejpam-6053	184	2	.	.	PUNCT
ejpam-6053	185	1	one	one	NUM
ejpam-6053	185	2	has	have	VERB
ejpam-6053	185	3	by	by	ADP
ejpam-6053	185	4	using	use	VERB
ejpam-6053	185	5	first	first	ADJ
ejpam-6053	185	6	equation	equation	NOUN
ejpam-6053	185	7	of	of	ADP
ejpam-6053	185	8	model	model	NOUN
ejpam-6053	185	9	(	(	PUNCT
ejpam-6053	185	10	3	3	NUM
ejpam-6053	185	11	)	)	PUNCT
ejpam-6053	185	12	pabcdξ	pabcdξ	NOUN
ejpam-6053	185	13	+0(s)(t	+0(s)(t	NOUN
ejpam-6053	185	14	)	)	PUNCT
ejpam-6053	185	15	=	=	SYM
ejpam-6053	186	1	λξ	λξ	VERB
ejpam-6053	186	2	−	−	PROPN
ejpam-6053	186	3	ρξs	ρξs	PROPN
ejpam-6053	186	4	−	−	PROPN
ejpam-6053	187	1	ϵξ1s(ipre	ϵξ1s(ipre	NOUN
ejpam-6053	188	1	−	−	PROPN
ejpam-6053	188	2	ϵξ2sipost	ϵξ2sipost	ADJ
ejpam-6053	188	3	≥	≥	NOUN
ejpam-6053	188	4	−	−	PROPN
ejpam-6053	188	5	(	(	PUNCT
ejpam-6053	188	6	ρξ	ρξ	PROPN
ejpam-6053	188	7	+	+	CCONJ
ejpam-6053	188	8	ϵξ1ipre	ϵξ1ipre	PUNCT
ejpam-6053	189	1	+	+	CCONJ
ejpam-6053	189	2	ϵξ2ipost	ϵξ2ipost	NUM
ejpam-6053	189	3	)	)	PUNCT
ejpam-6053	189	4	s(t	s(t	PROPN
ejpam-6053	189	5	)	)	PUNCT
ejpam-6053	189	6	.	.	PUNCT
ejpam-6053	190	1	(	(	PUNCT
ejpam-6053	190	2	13	13	X
ejpam-6053	190	3	)	)	PUNCT
ejpam-6053	190	4	use	use	NOUN
ejpam-6053	190	5	∆	∆	X
ejpam-6053	190	6	=	=	SYM
ejpam-6053	191	1	ρξ	ρξ	PROPN
ejpam-6053	191	2	+	+	CCONJ
ejpam-6053	191	3	ϵξ1ipre	ϵξ1ipre	PUNCT
ejpam-6053	192	1	+	+	CCONJ
ejpam-6053	192	2	ϵξ2ipost	ϵξ2ipost	X
ejpam-6053	192	3	in	in	ADP
ejpam-6053	192	4	(	(	PUNCT
ejpam-6053	192	5	13	13	NUM
ejpam-6053	192	6	)	)	PUNCT
ejpam-6053	192	7	implies	imply	VERB
ejpam-6053	192	8	that	that	DET
ejpam-6053	192	9	pabcdξ	pabcdξ	NOUN
ejpam-6053	192	10	+0[s(t	+0[s(t	PROPN
ejpam-6053	192	11	)	)	PUNCT
ejpam-6053	192	12	]	]	PUNCT
ejpam-6053	192	13	≥	≥	X
ejpam-6053	192	14	−∆s	−∆s	X
ejpam-6053	192	15	.	.	PUNCT
ejpam-6053	193	1	(	(	PUNCT
ejpam-6053	193	2	14	14	X
ejpam-6053	193	3	)	)	PUNCT
ejpam-6053	193	4	keeping	keep	VERB
ejpam-6053	193	5	in	in	ADP
ejpam-6053	193	6	mind	mind	NOUN
ejpam-6053	193	7	the	the	DET
ejpam-6053	193	8	definition	definition	NOUN
ejpam-6053	193	9	of	of	ADP
ejpam-6053	193	10	pabcdξ	pabcdξ	NOUN
ejpam-6053	193	11	+0	+0	ADP
ejpam-6053	193	12	,	,	PUNCT
ejpam-6053	193	13	we	we	PRON
ejpam-6053	193	14	discuss	discuss	VERB
ejpam-6053	193	15	two	two	NUM
ejpam-6053	193	16	cases	case	NOUN
ejpam-6053	193	17	here	here	ADV
ejpam-6053	193	18	as	as	ADP
ejpam-6053	193	19	:	:	PUNCT
ejpam-6053	193	20	case	case	NOUN
ejpam-6053	193	21	i	i	PRON
ejpam-6053	193	22	:	:	PUNCT
ejpam-6053	193	23	when	when	SCONJ
ejpam-6053	193	24	t	t	PROPN
ejpam-6053	193	25	∈	∈	PROPN
ejpam-6053	193	26	j1	j1	PROPN
ejpam-6053	193	27	,	,	PUNCT
ejpam-6053	193	28	then	then	ADV
ejpam-6053	193	29	cdξ	cdξ	PROPN
ejpam-6053	193	30	+0(s)(t	+0(s)(t	PROPN
ejpam-6053	193	31	)	)	PUNCT
ejpam-6053	193	32	≥	≥	NOUN
ejpam-6053	193	33	−∆s	−∆s	NUM
ejpam-6053	193	34	(	(	PUNCT
ejpam-6053	193	35	15	15	NUM
ejpam-6053	193	36	)	)	PUNCT
ejpam-6053	193	37	which	which	PRON
ejpam-6053	193	38	yields	yield	VERB
ejpam-6053	193	39	on	on	ADP
ejpam-6053	193	40	applying	apply	VERB
ejpam-6053	193	41	laplace	laplace	NOUN
ejpam-6053	193	42	transform	transform	NOUN
ejpam-6053	193	43	s(t	s(t	PROPN
ejpam-6053	193	44	)	)	PUNCT
ejpam-6053	193	45	≥	≥	PROPN
ejpam-6053	193	46	s0eξ(−∆tξ	s0eξ(−∆tξ	PROPN
ejpam-6053	193	47	)	)	PUNCT
ejpam-6053	193	48	>	>	X
ejpam-6053	193	49	0	0	PUNCT
ejpam-6053	194	1	at	at	ADP
ejpam-6053	194	2	t	t	PROPN
ejpam-6053	194	3	>	>	X
ejpam-6053	194	4	0	0	PROPN
ejpam-6053	194	5	.	.	PUNCT
ejpam-6053	194	6	(	(	PUNCT
ejpam-6053	194	7	16	16	NUM
ejpam-6053	194	8	)	)	PUNCT
ejpam-6053	194	9	case	case	NOUN
ejpam-6053	194	10	ii	ii	NOUN
ejpam-6053	194	11	:	:	PUNCT
ejpam-6053	194	12	in	in	ADP
ejpam-6053	194	13	addition	addition	NOUN
ejpam-6053	194	14	if	if	SCONJ
ejpam-6053	194	15	t	t	PROPN
ejpam-6053	194	16	∈	∈	PROPN
ejpam-6053	194	17	j2	j2	PROPN
ejpam-6053	194	18	,	,	PUNCT
ejpam-6053	194	19	then	then	ADV
ejpam-6053	194	20	abcdξ	abcdξ	VERB
ejpam-6053	194	21	+0[s(t	+0[s(t	PROPN
ejpam-6053	194	22	)	)	PUNCT
ejpam-6053	194	23	]	]	PUNCT
ejpam-6053	194	24	≥	≥	X
ejpam-6053	194	25	−∆s	−∆s	X
ejpam-6053	194	26	.	.	PUNCT
ejpam-6053	195	1	(	(	PUNCT
ejpam-6053	195	2	17	17	NUM
ejpam-6053	195	3	)	)	PUNCT
ejpam-6053	195	4	applying	apply	VERB
ejpam-6053	195	5	laplace	laplace	NOUN
ejpam-6053	195	6	transform	transform	NOUN
ejpam-6053	195	7	to	to	ADP
ejpam-6053	195	8	(	(	PUNCT
ejpam-6053	195	9	17	17	NUM
ejpam-6053	195	10	)	)	PUNCT
ejpam-6053	195	11	on	on	ADP
ejpam-6053	195	12	using	use	VERB
ejpam-6053	195	13	σ1	σ1	PROPN
ejpam-6053	195	14	=	=	PUNCT
ejpam-6053	195	15	ϱ+∆	ϱ+∆	PUNCT
ejpam-6053	195	16	with	with	ADP
ejpam-6053	195	17	ϱ	ϱ	PROPN
ejpam-6053	195	18	=	=	SYM
ejpam-6053	195	19	1	1	NUM
ejpam-6053	195	20	1−ξ	1−ξ	NUM
ejpam-6053	195	21	,	,	PUNCT
ejpam-6053	195	22	σ2	σ2	NOUN
ejpam-6053	195	23	=	=	SYM
ejpam-6053	195	24	∆ξϱ	∆ξϱ	PROPN
ejpam-6053	195	25	σ1	σ1	NOUN
ejpam-6053	195	26	,	,	PUNCT
ejpam-6053	195	27	we	we	PRON
ejpam-6053	195	28	get	get	VERB
ejpam-6053	195	29	l	l	NOUN
ejpam-6053	196	1	[	[	X
ejpam-6053	196	2	s(t	s(t	PROPN
ejpam-6053	196	3	)	)	PUNCT
ejpam-6053	196	4	]	]	PUNCT
ejpam-6053	196	5	≥	≥	X
ejpam-6053	196	6	s0σ1	s0σ1	SYM
ejpam-6053	196	7	sξ	sξ	PROPN
ejpam-6053	196	8	+	+	PROPN
ejpam-6053	196	9	σ2	σ2	NOUN
ejpam-6053	196	10	,	,	PUNCT
ejpam-6053	197	1	eiman	eiman	NOUN
ejpam-6053	197	2	et	et	PROPN
ejpam-6053	197	3	al	al	PROPN
ejpam-6053	197	4	.	.	PUNCT
ejpam-6053	197	5	/	/	SYM
ejpam-6053	197	6	eur	eur	PROPN
ejpam-6053	197	7	.	.	PUNCT
ejpam-6053	198	1	j.	j.	PROPN
ejpam-6053	198	2	pure	pure	PROPN
ejpam-6053	198	3	appl	appl	PROPN
ejpam-6053	198	4	.	.	PROPN
ejpam-6053	198	5	math	math	PROPN
ejpam-6053	198	6	,	,	PUNCT
ejpam-6053	198	7	18	18	NUM
ejpam-6053	198	8	(	(	PUNCT
ejpam-6053	198	9	2	2	NUM
ejpam-6053	198	10	)	)	PUNCT
ejpam-6053	198	11	(	(	PUNCT
ejpam-6053	198	12	2025	2025	NUM
ejpam-6053	198	13	)	)	PUNCT
ejpam-6053	198	14	,	,	PUNCT
ejpam-6053	198	15	6053	6053	NUM
ejpam-6053	198	16	9	9	NUM
ejpam-6053	198	17	of	of	ADP
ejpam-6053	198	18	26	26	NUM
ejpam-6053	198	19	which	which	PRON
ejpam-6053	198	20	further	far	ADV
ejpam-6053	198	21	can	can	AUX
ejpam-6053	198	22	be	be	AUX
ejpam-6053	198	23	expressed	express	VERB
ejpam-6053	198	24	as	as	ADP
ejpam-6053	198	25	l	l	NOUN
ejpam-6053	198	26	[	[	X
ejpam-6053	198	27	s(t	s(t	PROPN
ejpam-6053	198	28	)	)	PUNCT
ejpam-6053	198	29	]	]	PUNCT
ejpam-6053	198	30	≥	≥	NUM
ejpam-6053	198	31	s0σ1	s0σ1	PROPN
ejpam-6053	198	32	σ2	σ2	NOUN
ejpam-6053	198	33	∞∑	∞∑	PROPN
ejpam-6053	198	34	n=0	n=0	NUM
ejpam-6053	198	35	(	(	PUNCT
ejpam-6053	198	36	−1	−1	NOUN
ejpam-6053	198	37	σ2	σ2	PROPN
ejpam-6053	198	38	)	)	PUNCT
ejpam-6053	198	39	n	n	PROPN
ejpam-6053	198	40	1	1	NUM
ejpam-6053	198	41	snξ	snξ	NOUN
ejpam-6053	198	42	.	.	PUNCT
ejpam-6053	199	1	(	(	PUNCT
ejpam-6053	199	2	18	18	NUM
ejpam-6053	199	3	)	)	PUNCT
ejpam-6053	199	4	in	in	ADP
ejpam-6053	199	5	view	view	NOUN
ejpam-6053	199	6	of	of	ADP
ejpam-6053	199	7	inverse	inverse	NOUN
ejpam-6053	199	8	transform	transform	NOUN
ejpam-6053	199	9	of	of	ADP
ejpam-6053	199	10	laplace	laplace	NOUN
ejpam-6053	199	11	,	,	PUNCT
ejpam-6053	199	12	(	(	PUNCT
ejpam-6053	199	13	18	18	NUM
ejpam-6053	199	14	)	)	PUNCT
ejpam-6053	199	15	implies	imply	VERB
ejpam-6053	199	16	that	that	SCONJ
ejpam-6053	199	17	s(t	s(t	PROPN
ejpam-6053	199	18	)	)	PUNCT
ejpam-6053	199	19	≥	≥	NOUN
ejpam-6053	199	20	s0σ1	s0σ1	PROPN
ejpam-6053	199	21	σ2	σ2	NOUN
ejpam-6053	199	22	∞∑	∞∑	PROPN
ejpam-6053	199	23	n=0	n=0	NUM
ejpam-6053	199	24	(	(	PUNCT
ejpam-6053	199	25	−1	−1	NOUN
ejpam-6053	199	26	σ2	σ2	PROPN
ejpam-6053	199	27	)	)	PUNCT
ejpam-6053	199	28	n	n	NOUN
ejpam-6053	199	29	t−nξ−1	t−nξ−1	NOUN
ejpam-6053	199	30	γ(−nξ	γ(−nξ	ADJ
ejpam-6053	199	31	)	)	PUNCT
ejpam-6053	199	32	.	.	PUNCT
ejpam-6053	200	1	(	(	PUNCT
ejpam-6053	200	2	19	19	NUM
ejpam-6053	200	3	)	)	PUNCT
ejpam-6053	200	4	for	for	ADP
ejpam-6053	200	5	simplicity	simplicity	NOUN
ejpam-6053	200	6	using	use	VERB
ejpam-6053	200	7	wright	wright	PROPN
ejpam-6053	200	8	function	function	PROPN
ejpam-6053	200	9	notation	notation	NOUN
ejpam-6053	200	10	,	,	PUNCT
ejpam-6053	200	11	one	one	PRON
ejpam-6053	200	12	has	have	AUX
ejpam-6053	200	13	w(u	w(u	VERB
ejpam-6053	200	14	,	,	PUNCT
ejpam-6053	200	15	v	v	ADP
ejpam-6053	200	16	;	;	PUNCT
ejpam-6053	200	17	z	z	X
ejpam-6053	200	18	)	)	PUNCT
ejpam-6053	200	19	=	=	NOUN
ejpam-6053	200	20	∑∞	∑∞	NOUN
ejpam-6053	201	1	n=0	n=0	X
ejpam-6053	201	2	zn	zn	NUM
ejpam-6053	201	3	γ(n+1)γ(u−vn	γ(n+1)γ(u−vn	PROPN
ejpam-6053	201	4	)	)	PUNCT
ejpam-6053	201	5	.	.	PUNCT
ejpam-6053	202	1	therefore	therefore	ADV
ejpam-6053	202	2	,	,	PUNCT
ejpam-6053	202	3	(	(	PUNCT
ejpam-6053	202	4	21	21	NUM
ejpam-6053	202	5	)	)	PUNCT
ejpam-6053	202	6	is	be	AUX
ejpam-6053	202	7	also	also	ADV
ejpam-6053	202	8	expressed	express	VERB
ejpam-6053	202	9	as	as	ADP
ejpam-6053	202	10	s(t	s(t	PROPN
ejpam-6053	202	11	)	)	PUNCT
ejpam-6053	202	12	≥	≥	NUM
ejpam-6053	203	1	s0σ1	s0σ1	PROPN
ejpam-6053	203	2	σ2	σ2	PROPN
ejpam-6053	203	3	w	w	PROPN
ejpam-6053	203	4	(	(	PUNCT
ejpam-6053	203	5	0,−ξ	0,−ξ	ADJ
ejpam-6053	203	6	;	;	PUNCT
ejpam-6053	203	7	−1	−1	NOUN
ejpam-6053	203	8	σ2tξ	σ2tξ	NOUN
ejpam-6053	203	9	)	)	PUNCT
ejpam-6053	203	10	.	.	PUNCT
ejpam-6053	204	1	(	(	PUNCT
ejpam-6053	204	2	20	20	NUM
ejpam-6053	204	3	)	)	PUNCT
ejpam-6053	204	4	finally	finally	ADV
ejpam-6053	204	5	from	from	ADP
ejpam-6053	204	6	(	(	PUNCT
ejpam-6053	204	7	20	20	NUM
ejpam-6053	204	8	)	)	PUNCT
ejpam-6053	204	9	,	,	PUNCT
ejpam-6053	204	10	we	we	PRON
ejpam-6053	204	11	have	have	VERB
ejpam-6053	204	12	s0σ1	s0σ1	NOUN
ejpam-6053	204	13	σ2	σ2	PROPN
ejpam-6053	204	14	>	>	X
ejpam-6053	204	15	0	0	PROPN
ejpam-6053	204	16	,	,	PUNCT
ejpam-6053	204	17	at	at	ADP
ejpam-6053	204	18	t	t	PROPN
ejpam-6053	204	19	>	>	X
ejpam-6053	204	20	0	0	PROPN
ejpam-6053	204	21	,	,	PUNCT
ejpam-6053	204	22	w	w	ADP
ejpam-6053	204	23	>	>	X
ejpam-6053	204	24	0	0	X
ejpam-6053	204	25	.	.	PUNCT
ejpam-6053	205	1	thus	thus	ADV
ejpam-6053	205	2	we	we	PRON
ejpam-6053	205	3	conclude	conclude	VERB
ejpam-6053	205	4	from	from	ADP
ejpam-6053	205	5	(	(	PUNCT
ejpam-6053	205	6	16	16	NUM
ejpam-6053	205	7	)	)	PUNCT
ejpam-6053	205	8	and	and	CCONJ
ejpam-6053	205	9	(	(	PUNCT
ejpam-6053	205	10	20	20	NUM
ejpam-6053	205	11	)	)	PUNCT
ejpam-6053	205	12	that	that	PRON
ejpam-6053	205	13	s	s	VERB
ejpam-6053	205	14	>	>	X
ejpam-6053	205	15	0	0	NUM
ejpam-6053	205	16	,	,	PUNCT
ejpam-6053	205	17	for	for	ADP
ejpam-6053	205	18	all	all	DET
ejpam-6053	205	19	t	t	PROPN
ejpam-6053	205	20	>	>	X
ejpam-6053	205	21	0	0	X
ejpam-6053	205	22	.	.	PUNCT
ejpam-6053	206	1	repeating	repeat	VERB
ejpam-6053	206	2	the	the	DET
ejpam-6053	206	3	same	same	ADJ
ejpam-6053	206	4	procedure	procedure	NOUN
ejpam-6053	206	5	for	for	ADP
ejpam-6053	206	6	other	other	ADJ
ejpam-6053	206	7	compartment	compartment	NOUN
ejpam-6053	206	8	of	of	ADP
ejpam-6053	206	9	model	model	NOUN
ejpam-6053	206	10	(	(	PUNCT
ejpam-6053	206	11	3	3	NUM
ejpam-6053	206	12	)	)	PUNCT
ejpam-6053	206	13	,	,	PUNCT
ejpam-6053	206	14	we	we	PRON
ejpam-6053	206	15	can	can	AUX
ejpam-6053	206	16	easily	easily	ADV
ejpam-6053	206	17	prove	prove	VERB
ejpam-6053	206	18	that	that	SCONJ
ejpam-6053	206	19	le	le	PUNCT
ejpam-6053	206	20	>	>	X
ejpam-6053	206	21	0	0	PROPN
ejpam-6053	206	22	,	,	PUNCT
ejpam-6053	206	23	ipre	ipre	NOUN
ejpam-6053	206	24	>	>	X
ejpam-6053	206	25	0	0	NUM
ejpam-6053	206	26	,	,	PUNCT
ejpam-6053	206	27	ipost	ipost	VERB
ejpam-6053	206	28	>	>	X
ejpam-6053	206	29	0	0	NUM
ejpam-6053	206	30	,	,	PUNCT
ejpam-6053	206	31	r	r	NOUN
ejpam-6053	206	32	>	>	X
ejpam-6053	206	33	0	0	NUM
ejpam-6053	206	34	,	,	PUNCT
ejpam-6053	206	35	for	for	ADP
ejpam-6053	206	36	all	all	DET
ejpam-6053	206	37	t	t	PROPN
ejpam-6053	206	38	>	>	X
ejpam-6053	206	39	0	0	X
ejpam-6053	206	40	.	.	PUNCT
ejpam-6053	207	1	further	far	ADV
ejpam-6053	207	2	,	,	PUNCT
ejpam-6053	207	3	from	from	ADP
ejpam-6053	207	4	(	(	PUNCT
ejpam-6053	207	5	3	3	NUM
ejpam-6053	207	6	)	)	PUNCT
ejpam-6053	207	7	by	by	ADP
ejpam-6053	207	8	putting	put	VERB
ejpam-6053	207	9	system	system	NOUN
ejpam-6053	207	10	equal	equal	ADJ
ejpam-6053	207	11	to	to	ADP
ejpam-6053	207	12	zero	zero	NUM
ejpam-6053	207	13	and	and	CCONJ
ejpam-6053	207	14	for	for	ADP
ejpam-6053	207	15	disease	disease	NOUN
ejpam-6053	207	16	free	free	ADJ
ejpam-6053	207	17	equilibrium	equilibrium	NOUN
ejpam-6053	207	18	sitting	sit	VERB
ejpam-6053	207	19	le	le	X
ejpam-6053	207	20	=	=	SYM
ejpam-6053	207	21	0	0	PROPN
ejpam-6053	207	22	,	,	PUNCT
ejpam-6053	207	23	ipre	ipre	NOUN
ejpam-6053	207	24	=	=	SYM
ejpam-6053	207	25	0	0	NUM
ejpam-6053	207	26	,	,	PUNCT
ejpam-6053	207	27	ipost	ipost	NOUN
ejpam-6053	207	28	=	=	SYM
ejpam-6053	207	29	0	0	NUM
ejpam-6053	207	30	,	,	PUNCT
ejpam-6053	207	31	r	r	NOUN
ejpam-6053	207	32	=	=	SYM
ejpam-6053	207	33	0	0	NUM
ejpam-6053	207	34	,	,	PUNCT
ejpam-6053	207	35	we	we	PRON
ejpam-6053	207	36	have	have	VERB
ejpam-6053	207	37	from	from	ADP
ejpam-6053	207	38	s0	s0	PROPN
ejpam-6053	207	39	=	=	PUNCT
ejpam-6053	208	1	λξ	λξ	X
ejpam-6053	208	2	ρξ	ρξ	ADJ
ejpam-6053	208	3	.	.	PUNCT
ejpam-6053	209	1	thus	thus	ADV
ejpam-6053	209	2	trivial	trivial	ADJ
ejpam-6053	209	3	equilibrium	equilibrium	NOUN
ejpam-6053	209	4	is	be	AUX
ejpam-6053	209	5	given	give	VERB
ejpam-6053	209	6	by	by	ADP
ejpam-6053	209	7	e0	e0	PROPN
ejpam-6053	209	8	=	=	PUNCT
ejpam-6053	209	9	(	(	PUNCT
ejpam-6053	209	10	s0,l0	s0,l0	PROPN
ejpam-6053	209	11	e	e	PROPN
ejpam-6053	209	12	,	,	PUNCT
ejpam-6053	209	13	i0	i0	PROPN
ejpam-6053	209	14	pre	pre	PROPN
ejpam-6053	209	15	,	,	PUNCT
ejpam-6053	209	16	i0	i0	PROPN
ejpam-6053	209	17	post	post	NOUN
ejpam-6053	209	18	,	,	PUNCT
ejpam-6053	209	19	r0	r0	NOUN
ejpam-6053	209	20	)	)	PUNCT
ejpam-6053	209	21	=	=	PUNCT
ejpam-6053	210	1	(	(	PUNCT
ejpam-6053	210	2	λξ	λξ	X
ejpam-6053	210	3	ρξ	ρξ	VERB
ejpam-6053	210	4	,	,	PUNCT
ejpam-6053	210	5	0	0	NUM
ejpam-6053	210	6	,	,	PUNCT
ejpam-6053	210	7	0	0	NUM
ejpam-6053	210	8	,	,	PUNCT
ejpam-6053	210	9	0	0	NUM
ejpam-6053	210	10	,	,	PUNCT
ejpam-6053	210	11	0	0	NUM
ejpam-6053	210	12	)	)	PUNCT
ejpam-6053	210	13	.	.	PUNCT
ejpam-6053	211	1	if	if	SCONJ
ejpam-6053	211	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	3	e	e	NOUN
ejpam-6053	211	4	=	=	PUNCT
ejpam-6053	211	5	(	(	PUNCT
ejpam-6053	211	6	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	7	s	s	PART
ejpam-6053	211	8	,	,	PUNCT
ejpam-6053	211	9	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	10	l	l	NOUN
ejpam-6053	211	11	e	e	NOUN
ejpam-6053	211	12	,	,	PUNCT
ejpam-6053	211	13	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	14	i	i	PRON
ejpam-6053	211	15	pre	pre	VERB
ejpam-6053	211	16	,	,	PUNCT
ejpam-6053	211	17	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	18	i	i	PRON
ejpam-6053	211	19	post	post	VERB
ejpam-6053	211	20	,	,	PUNCT
ejpam-6053	211	21	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	22	r	r	NOUN
ejpam-6053	211	23	)	)	PUNCT
ejpam-6053	211	24	be	be	AUX
ejpam-6053	211	25	endemic	endemic	ADJ
ejpam-6053	211	26	equilibrium	equilibrium	NOUN
ejpam-6053	211	27	point	point	NOUN
ejpam-6053	211	28	of	of	ADP
ejpam-6053	211	29	proposed	propose	VERB
ejpam-6053	211	30	model	model	NOUN
ejpam-6053	211	31	(	(	PUNCT
ejpam-6053	211	32	3	3	NUM
ejpam-6053	211	33	)	)	PUNCT
ejpam-6053	211	34	,	,	PUNCT
ejpam-6053	211	35	then	then	ADV
ejpam-6053	211	36	we	we	PRON
ejpam-6053	211	37	compute	compute	VERB
ejpam-6053	211	38	its	its	PRON
ejpam-6053	211	39	value	value	NOUN
ejpam-6053	211	40	by	by	ADP
ejpam-6053	211	41	equating	equate	VERB
ejpam-6053	211	42	(	(	PUNCT
ejpam-6053	211	43	3	3	NUM
ejpam-6053	211	44	)	)	PUNCT
ejpam-6053	211	45	left	leave	VERB
ejpam-6053	211	46	sides	side	NOUN
ejpam-6053	211	47	equal	equal	ADJ
ejpam-6053	211	48	to	to	ADP
ejpam-6053	211	49	zero	zero	NUM
ejpam-6053	211	50	after	after	ADP
ejpam-6053	211	51	using	use	VERB
ejpam-6053	211	52	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	211	53	s	s	PART
ejpam-6053	211	54	,	,	PUNCT
ejpam-6053	212	1	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	212	2	l	l	NOUN
ejpam-6053	212	3	e	e	NOUN
ejpam-6053	212	4	,	,	PUNCT
ejpam-6053	212	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	213	1	i	i	PRON
ejpam-6053	213	2	pre	pre	VERB
ejpam-6053	213	3	,	,	PUNCT
ejpam-6053	213	4	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	213	5	i	i	PRON
ejpam-6053	213	6	post	post	VERB
ejpam-6053	213	7	,	,	PUNCT
ejpam-6053	213	8	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	213	9	r	r	NOUN
ejpam-6053	213	10	,	,	PUNCT
ejpam-6053	213	11	one	one	NUM
ejpam-6053	213	12	has︷︸︸︷	has︷︸︸︷	NOUN
ejpam-6053	213	13	s	s	NOUN
ejpam-6053	213	14	=	=	PUNCT
ejpam-6053	213	15	(	(	PUNCT
ejpam-6053	213	16	εξ	εξ	NOUN
ejpam-6053	213	17	+	+	X
ejpam-6053	213	18	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	213	19	+	+	CCONJ
ejpam-6053	213	20	κξ1	κξ1	PRON
ejpam-6053	213	21	−	−	PROPN
ejpam-6053	213	22	αξ)(ρξ	αξ)(ρξ	PUNCT
ejpam-6053	213	23	+	+	NUM
ejpam-6053	213	24	κξ2	κξ2	PROPN
ejpam-6053	213	25	)	)	PUNCT
ejpam-6053	213	26	εξ[εξ(ρξ	εξ[εξ(ρξ	VERB
ejpam-6053	213	27	+	+	CCONJ
ejpam-6053	213	28	κξ2	κξ2	PROPN
ejpam-6053	213	29	)	)	PUNCT
ejpam-6053	214	1	+	+	CCONJ
ejpam-6053	214	2	(	(	PUNCT
ejpam-6053	214	3	αϵ2)ξ]︷︸︸︷	αϵ2)ξ]︷︸︸︷	NUM
ejpam-6053	214	4	l	l	NOUN
ejpam-6053	214	5	e	e	NOUN
ejpam-6053	214	6	=	=	PUNCT
ejpam-6053	214	7	λξ(εξ)2[εξ(ρξ	λξ(εξ)2[εξ(ρξ	PROPN
ejpam-6053	214	8	+	+	NUM
ejpam-6053	214	9	κξ2	κξ2	PROPN
ejpam-6053	214	10	)	)	PUNCT
ejpam-6053	215	1	+	+	CCONJ
ejpam-6053	215	2	(	(	PUNCT
ejpam-6053	215	3	αϵ2	αϵ2	NOUN
ejpam-6053	215	4	)	)	PUNCT
ejpam-6053	215	5	ξ]−	ξ]−	NOUN
ejpam-6053	216	1	ρξ(εξ	ρξ(εξ	ADV
ejpam-6053	216	2	+	+	PUNCT
ejpam-6053	216	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	216	4	+	+	CCONJ
ejpam-6053	216	5	κξ1	κξ1	PRON
ejpam-6053	216	6	−	−	PROPN
ejpam-6053	216	7	αξ)(ρξ	αξ)(ρξ	SYM
ejpam-6053	216	8	+	+	NUM
ejpam-6053	216	9	κξ2	κξ2	PROPN
ejpam-6053	216	10	)	)	PUNCT
ejpam-6053	216	11	εξαξ(εξ	εξαξ(εξ	NOUN
ejpam-6053	216	12	+	+	CCONJ
ejpam-6053	216	13	ρξ)[ϵξ1(ρ	ρξ)[ϵξ1(ρ	PROPN
ejpam-6053	216	14	ξ	ξ	PROPN
ejpam-6053	216	15	+	+	SYM
ejpam-6053	216	16	κξ2	κξ2	NOUN
ejpam-6053	216	17	)	)	PUNCT
ejpam-6053	217	1	+	+	CCONJ
ejpam-6053	218	1	ϵξ2]︷︸︸︷	ϵξ2]︷︸︸︷	ADV
ejpam-6053	218	2	i	i	PRON
ejpam-6053	218	3	pre	pre	VERB
ejpam-6053	219	1	=	=	PUNCT
ejpam-6053	219	2	λξ(εξ)2[εξ(ρξ	λξ(εξ)2[εξ(ρξ	PROPN
ejpam-6053	219	3	+	+	NUM
ejpam-6053	219	4	κξ2	κξ2	PROPN
ejpam-6053	219	5	)	)	PUNCT
ejpam-6053	220	1	+	+	CCONJ
ejpam-6053	220	2	(	(	PUNCT
ejpam-6053	220	3	αϵ2	αϵ2	NOUN
ejpam-6053	220	4	)	)	PUNCT
ejpam-6053	220	5	ξ]−	ξ]−	NOUN
ejpam-6053	221	1	ρξ(εξ	ρξ(εξ	ADV
ejpam-6053	221	2	+	+	PUNCT
ejpam-6053	221	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	221	4	+	+	CCONJ
ejpam-6053	221	5	κξ1	κξ1	PRON
ejpam-6053	221	6	−	−	PROPN
ejpam-6053	221	7	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	221	8	+	+	NUM
ejpam-6053	221	9	κξ2	κξ2	NOUN
ejpam-6053	221	10	)	)	PUNCT
ejpam-6053	221	11	αξ(εξ	αξ(εξ	PUNCT
ejpam-6053	222	1	+	+	CCONJ
ejpam-6053	223	1	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	223	2	+	+	CCONJ
ejpam-6053	223	3	κξ1	κξ1	PRON
ejpam-6053	223	4	−	−	PROPN
ejpam-6053	223	5	αξ)[ϵξ1(ρ	αξ)[ϵξ1(ρ	ADP
ejpam-6053	223	6	ξ	ξ	PROPN
ejpam-6053	223	7	+	+	SYM
ejpam-6053	223	8	κξ2	κξ2	NOUN
ejpam-6053	223	9	)	)	PUNCT
ejpam-6053	223	10	+	+	CCONJ
ejpam-6053	224	1	ϵξ2]︷︸︸︷	ϵξ2]︷︸︸︷	ADV
ejpam-6053	224	2	i	i	PRON
ejpam-6053	224	3	post	post	VERB
ejpam-6053	224	4	=	=	PUNCT
ejpam-6053	224	5	λξ(εξ)2[εξ(ρξ	λξ(εξ)2[εξ(ρξ	PROPN
ejpam-6053	224	6	+	+	NUM
ejpam-6053	224	7	κξ2	κξ2	PROPN
ejpam-6053	224	8	)	)	PUNCT
ejpam-6053	225	1	+	+	CCONJ
ejpam-6053	225	2	(	(	PUNCT
ejpam-6053	225	3	αϵ2	αϵ2	NOUN
ejpam-6053	225	4	)	)	PUNCT
ejpam-6053	225	5	ξ]−	ξ]−	NOUN
ejpam-6053	226	1	ρξ(εξ	ρξ(εξ	ADV
ejpam-6053	226	2	+	+	PUNCT
ejpam-6053	226	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	226	4	+	+	CCONJ
ejpam-6053	226	5	κξ1	κξ1	PRON
ejpam-6053	226	6	−	−	PROPN
ejpam-6053	226	7	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	226	8	+	+	NUM
ejpam-6053	226	9	κξ2	κξ2	NOUN
ejpam-6053	226	10	)	)	PUNCT
ejpam-6053	226	11	(	(	PUNCT
ejpam-6053	226	12	εξ	εξ	NOUN
ejpam-6053	226	13	+	+	X
ejpam-6053	226	14	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	227	1	+	+	CCONJ
ejpam-6053	227	2	κξ1	κξ1	PRON
ejpam-6053	227	3	−	−	NOUN
ejpam-6053	227	4	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	227	5	+	+	NUM
ejpam-6053	227	6	κξ2)[ϵ	κξ2)[ϵ	NUM
ejpam-6053	227	7	ξ	ξ	PROPN
ejpam-6053	227	8	1(ρ	1(ρ	NUM
ejpam-6053	227	9	ξ	ξ	X
ejpam-6053	227	10	+	+	SYM
ejpam-6053	227	11	κξ2	κξ2	NOUN
ejpam-6053	227	12	)	)	PUNCT
ejpam-6053	228	1	+	+	CCONJ
ejpam-6053	228	2	ϵξ2	ϵξ2	NOUN
ejpam-6053	228	3	]	]	X
ejpam-6053	228	4	eiman	eiman	NOUN
ejpam-6053	228	5	et	et	PROPN
ejpam-6053	228	6	al	al	PROPN
ejpam-6053	228	7	.	.	PUNCT
ejpam-6053	228	8	/	/	SYM
ejpam-6053	228	9	eur	eur	PROPN
ejpam-6053	228	10	.	.	PUNCT
ejpam-6053	229	1	j.	j.	PROPN
ejpam-6053	229	2	pure	pure	PROPN
ejpam-6053	229	3	appl	appl	PROPN
ejpam-6053	229	4	.	.	PROPN
ejpam-6053	229	5	math	math	PROPN
ejpam-6053	229	6	,	,	PUNCT
ejpam-6053	229	7	18	18	NUM
ejpam-6053	229	8	(	(	PUNCT
ejpam-6053	229	9	2	2	NUM
ejpam-6053	229	10	)	)	PUNCT
ejpam-6053	229	11	(	(	PUNCT
ejpam-6053	229	12	2025	2025	NUM
ejpam-6053	229	13	)	)	PUNCT
ejpam-6053	229	14	,	,	PUNCT
ejpam-6053	229	15	6053	6053	NUM
ejpam-6053	229	16	10	10	NUM
ejpam-6053	229	17	of	of	ADP
ejpam-6053	229	18	26	26	NUM
ejpam-6053	229	19	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	229	20	r	r	NOUN
ejpam-6053	229	21	=	=	PUNCT
ejpam-6053	229	22	κξ1	κξ1	NOUN
ejpam-6053	229	23	ρξ	ρξ	X
ejpam-6053	230	1	[	[	PUNCT
ejpam-6053	230	2	λξ(εξ)2[εξ(ρξ	λξ(εξ)2[εξ(ρξ	PROPN
ejpam-6053	230	3	+	+	NUM
ejpam-6053	230	4	κξ2	κξ2	PROPN
ejpam-6053	230	5	)	)	PUNCT
ejpam-6053	231	1	+	+	CCONJ
ejpam-6053	231	2	(	(	PUNCT
ejpam-6053	231	3	αϵ2	αϵ2	NOUN
ejpam-6053	231	4	)	)	PUNCT
ejpam-6053	231	5	ξ]−	ξ]−	NOUN
ejpam-6053	232	1	ρξ(εξ	ρξ(εξ	ADV
ejpam-6053	232	2	+	+	PUNCT
ejpam-6053	232	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	232	4	+	+	CCONJ
ejpam-6053	232	5	κξ1	κξ1	PRON
ejpam-6053	232	6	−	−	PROPN
ejpam-6053	232	7	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	232	8	+	+	NUM
ejpam-6053	232	9	κξ2	κξ2	NOUN
ejpam-6053	232	10	)	)	PUNCT
ejpam-6053	232	11	αξ(εξ	αξ(εξ	PUNCT
ejpam-6053	233	1	+	+	CCONJ
ejpam-6053	234	1	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	234	2	+	+	CCONJ
ejpam-6053	234	3	κξ1	κξ1	PRON
ejpam-6053	234	4	−	−	PROPN
ejpam-6053	234	5	αξ)[ϵξ1(ρ	αξ)[ϵξ1(ρ	ADP
ejpam-6053	234	6	ξ	ξ	PROPN
ejpam-6053	234	7	+	+	SYM
ejpam-6053	234	8	κξ2	κξ2	NOUN
ejpam-6053	234	9	)	)	PUNCT
ejpam-6053	234	10	+	+	CCONJ
ejpam-6053	234	11	ϵξ2	ϵξ2	NOUN
ejpam-6053	234	12	]	]	X
ejpam-6053	234	13	]	]	PUNCT
ejpam-6053	235	1	+	+	CCONJ
ejpam-6053	235	2	κξ2	κξ2	PROPN
ejpam-6053	235	3	ρξ	ρξ	NUM
ejpam-6053	235	4	[	[	PUNCT
ejpam-6053	235	5	λξ(εξ)2[εξ(ρξ	λξ(εξ)2[εξ(ρξ	PROPN
ejpam-6053	235	6	+	+	NUM
ejpam-6053	235	7	κξ2	κξ2	PROPN
ejpam-6053	235	8	)	)	PUNCT
ejpam-6053	236	1	+	+	CCONJ
ejpam-6053	236	2	(	(	PUNCT
ejpam-6053	236	3	αϵ2	αϵ2	NOUN
ejpam-6053	236	4	)	)	PUNCT
ejpam-6053	236	5	ξ]−	ξ]−	NOUN
ejpam-6053	237	1	ρξ(εξ	ρξ(εξ	ADV
ejpam-6053	237	2	+	+	PUNCT
ejpam-6053	237	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	237	4	+	+	CCONJ
ejpam-6053	237	5	κξ1	κξ1	PRON
ejpam-6053	237	6	−	−	PROPN
ejpam-6053	237	7	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	237	8	+	+	NUM
ejpam-6053	237	9	κξ2	κξ2	NOUN
ejpam-6053	237	10	)	)	PUNCT
ejpam-6053	237	11	(	(	PUNCT
ejpam-6053	237	12	εξ	εξ	NOUN
ejpam-6053	237	13	+	+	X
ejpam-6053	237	14	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	238	1	+	+	CCONJ
ejpam-6053	238	2	κξ1	κξ1	PRON
ejpam-6053	238	3	−	−	NOUN
ejpam-6053	238	4	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	238	5	+	+	NUM
ejpam-6053	238	6	κξ2)[ϵ	κξ2)[ϵ	NUM
ejpam-6053	238	7	ξ	ξ	PROPN
ejpam-6053	238	8	1(ρ	1(ρ	NUM
ejpam-6053	238	9	ξ	ξ	X
ejpam-6053	238	10	+	+	SYM
ejpam-6053	238	11	κξ2	κξ2	NOUN
ejpam-6053	238	12	)	)	PUNCT
ejpam-6053	239	1	+	+	CCONJ
ejpam-6053	239	2	ϵξ2	ϵξ2	NOUN
ejpam-6053	239	3	]	]	X
ejpam-6053	239	4	]	]	PUNCT
ejpam-6053	239	5	.(21	.(21	X
ejpam-6053	239	6	)	)	PUNCT
ejpam-6053	239	7	further	far	ADV
ejpam-6053	239	8	,	,	PUNCT
ejpam-6053	239	9	considered	consider	VERB
ejpam-6053	239	10	the	the	DET
ejpam-6053	239	11	second	second	ADJ
ejpam-6053	239	12	equation	equation	NOUN
ejpam-6053	239	13	of	of	ADP
ejpam-6053	239	14	(	(	PUNCT
ejpam-6053	239	15	3	3	NUM
ejpam-6053	239	16	)	)	PUNCT
ejpam-6053	239	17	as	as	ADP
ejpam-6053	239	18	pabcdξ	pabcdξ	ADJ
ejpam-6053	239	19	+0(le)(t	+0(le)(t	NOUN
ejpam-6053	239	20	)	)	PUNCT
ejpam-6053	239	21	=	=	SYM
ejpam-6053	239	22	ϵξ1s(t)ipre(t	ϵξ1s(t)ipre(t	PROPN
ejpam-6053	239	23	)	)	PUNCT
ejpam-6053	240	1	+	+	CCONJ
ejpam-6053	240	2	ϵξ2s(t)ipost(t)−	ϵξ2s(t)ipost(t)−	X
ejpam-6053	240	3	(	(	PUNCT
ejpam-6053	240	4	εξ	εξ	NOUN
ejpam-6053	240	5	+	+	X
ejpam-6053	240	6	ρξ)le	ρξ)le	PUNCT
ejpam-6053	240	7	.	.	PUNCT
ejpam-6053	241	1	(	(	PUNCT
ejpam-6053	241	2	22	22	NUM
ejpam-6053	241	3	)	)	PUNCT
ejpam-6053	241	4	using	use	VERB
ejpam-6053	241	5	next	next	ADJ
ejpam-6053	241	6	generation	generation	NOUN
ejpam-6053	241	7	matrix	matrix	NOUN
ejpam-6053	241	8	approach	approach	NOUN
ejpam-6053	241	9	[	[	X
ejpam-6053	241	10	31	31	NUM
ejpam-6053	241	11	]	]	PUNCT
ejpam-6053	241	12	,	,	PUNCT
ejpam-6053	241	13	one	one	PRON
ejpam-6053	241	14	can	can	AUX
ejpam-6053	241	15	compute	compute	VERB
ejpam-6053	241	16	the	the	DET
ejpam-6053	241	17	basic	basic	ADJ
ejpam-6053	241	18	reproductive	reproductive	ADJ
ejpam-6053	241	19	number	number	NOUN
ejpam-6053	241	20	given	give	VERB
ejpam-6053	241	21	by	by	ADP
ejpam-6053	241	22	r	r	NOUN
ejpam-6053	241	23	=	=	SYM
ejpam-6053	241	24	r1	r1	PROPN
ejpam-6053	241	25	+	+	NOUN
ejpam-6053	241	26	r2	r2	PROPN
ejpam-6053	241	27	,	,	PUNCT
ejpam-6053	241	28	where	where	SCONJ
ejpam-6053	241	29	r1	r1	PROPN
ejpam-6053	241	30	=	=	SYM
ejpam-6053	241	31	εξϵξ1λ	εξϵξ1λ	PROPN
ejpam-6053	241	32	ξ	ξ	NOUN
ejpam-6053	242	1	ρξ(εξ	ρξ(εξ	NOUN
ejpam-6053	242	2	+	+	PUNCT
ejpam-6053	242	3	ρξ)(ρξ	ρξ)(ρξ	X
ejpam-6053	242	4	+	+	CCONJ
ejpam-6053	242	5	κξ1	κξ1	PRON
ejpam-6053	242	6	+	+	CCONJ
ejpam-6053	242	7	αξ	αξ	NOUN
ejpam-6053	242	8	)	)	PUNCT
ejpam-6053	242	9	,	,	PUNCT
ejpam-6053	243	1	r2	r2	PROPN
ejpam-6053	243	2	=	=	PUNCT
ejpam-6053	243	3	εξϵξ2λ	εξϵξ2λ	PROPN
ejpam-6053	243	4	ξ	ξ	PROPN
ejpam-6053	244	1	ρξ(εξ	ρξ(εξ	NOUN
ejpam-6053	244	2	+	+	PUNCT
ejpam-6053	244	3	ρξ)(ρξ	ρξ)(ρξ	PROPN
ejpam-6053	244	4	+	+	CCONJ
ejpam-6053	244	5	κξ1	κξ1	PRON
ejpam-6053	244	6	+	+	NOUN
ejpam-6053	244	7	αξ)(ρξ	αξ)(ρξ	NUM
ejpam-6053	244	8	+	+	NUM
ejpam-6053	244	9	κξ2	κξ2	NOUN
ejpam-6053	244	10	)	)	PUNCT
ejpam-6053	244	11	.	.	PUNCT
ejpam-6053	245	1	remark	remark	NOUN
ejpam-6053	245	2	1	1	NUM
ejpam-6053	245	3	.	.	PUNCT
ejpam-6053	246	1	moreover	moreover	ADV
ejpam-6053	246	2	,	,	PUNCT
ejpam-6053	246	3	if	if	SCONJ
ejpam-6053	246	4	r	r	NOUN
ejpam-6053	246	5	<	<	X
ejpam-6053	246	6	1	1	NUM
ejpam-6053	246	7	,	,	PUNCT
ejpam-6053	246	8	the	the	DET
ejpam-6053	246	9	unique	unique	ADJ
ejpam-6053	246	10	trivial	trivial	ADJ
ejpam-6053	246	11	equilibrium	equilibrium	NOUN
ejpam-6053	246	12	(	(	PUNCT
ejpam-6053	246	13	λξ	λξ	X
ejpam-6053	246	14	ρξ	ρξ	VERB
ejpam-6053	246	15	,	,	PUNCT
ejpam-6053	246	16	0	0	NUM
ejpam-6053	246	17	,	,	PUNCT
ejpam-6053	246	18	0	0	NUM
ejpam-6053	246	19	,	,	PUNCT
ejpam-6053	246	20	0	0	NUM
ejpam-6053	246	21	,	,	PUNCT
ejpam-6053	246	22	0	0	NUM
ejpam-6053	246	23	)	)	PUNCT
ejpam-6053	246	24	is	be	AUX
ejpam-6053	246	25	stable	stable	ADJ
ejpam-6053	246	26	asymptotically	asymptotically	ADV
ejpam-6053	246	27	and	and	CCONJ
ejpam-6053	246	28	globally	globally	ADV
ejpam-6053	246	29	.	.	PUNCT
ejpam-6053	247	1	in	in	ADP
ejpam-6053	247	2	addition	addition	NOUN
ejpam-6053	247	3	if	if	SCONJ
ejpam-6053	247	4	r	r	NOUN
ejpam-6053	247	5	>	>	X
ejpam-6053	247	6	1	1	NUM
ejpam-6053	247	7	,	,	PUNCT
ejpam-6053	247	8	then	then	ADV
ejpam-6053	247	9	the	the	DET
ejpam-6053	247	10	trivial	trivial	ADJ
ejpam-6053	247	11	equilibrium	equilibrium	NOUN
ejpam-6053	247	12	is	be	AUX
ejpam-6053	247	13	unstable	unstable	ADJ
ejpam-6053	247	14	and	and	CCONJ
ejpam-6053	247	15	we	we	PRON
ejpam-6053	247	16	have	have	VERB
ejpam-6053	247	17	a	a	DET
ejpam-6053	247	18	unique	unique	ADJ
ejpam-6053	247	19	non	non	ADJ
ejpam-6053	247	20	-	-	ADJ
ejpam-6053	247	21	trivial	trivial	ADJ
ejpam-6053	247	22	equilibrium	equilibrium	NOUN
ejpam-6053	247	23	been	be	AUX
ejpam-6053	247	24	computed	compute	VERB
ejpam-6053	247	25	in	in	ADP
ejpam-6053	247	26	(	(	PUNCT
ejpam-6053	247	27	21	21	NUM
ejpam-6053	247	28	)	)	PUNCT
ejpam-6053	247	29	which	which	PRON
ejpam-6053	247	30	stable	stable	VERB
ejpam-6053	247	31	globally	globally	ADV
ejpam-6053	247	32	and	and	CCONJ
ejpam-6053	247	33	asymptotically	asymptotically	ADV
ejpam-6053	247	34	.	.	PUNCT
ejpam-6053	248	1	theorem	theorem	NOUN
ejpam-6053	248	2	3	3	NUM
ejpam-6053	248	3	.	.	PUNCT
ejpam-6053	249	1	the	the	DET
ejpam-6053	249	2	nontrivial	nontrivial	ADJ
ejpam-6053	249	3	equilibrium	equilibrium	NOUN
ejpam-6053	249	4	point	point	NOUN
ejpam-6053	249	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	249	6	e	e	NOUN
ejpam-6053	249	7	is	be	AUX
ejpam-6053	249	8	stable	stable	ADJ
ejpam-6053	249	9	globally	globally	ADV
ejpam-6053	249	10	and	and	CCONJ
ejpam-6053	249	11	asymptotically	asymptotically	ADV
ejpam-6053	249	12	if	if	SCONJ
ejpam-6053	249	13	r	r	NOUN
ejpam-6053	249	14	>	>	X
ejpam-6053	249	15	1	1	NUM
ejpam-6053	249	16	.	.	PUNCT
ejpam-6053	250	1	proof	proof	NOUN
ejpam-6053	250	2	.	.	PUNCT
ejpam-6053	251	1	we	we	PRON
ejpam-6053	251	2	construct	construct	VERB
ejpam-6053	251	3	a	a	DET
ejpam-6053	251	4	volteralyapunov	volteralyapunov	ADJ
ejpam-6053	251	5	function	function	NOUN
ejpam-6053	251	6	y	y	PROPN
ejpam-6053	251	7	:	:	PUNCT
ejpam-6053	251	8	{	{	PUNCT
ejpam-6053	251	9	(	(	PUNCT
ejpam-6053	251	10	s	s	X
ejpam-6053	251	11	,	,	PUNCT
ejpam-6053	251	12	le	le	X
ejpam-6053	251	13	,	,	PUNCT
ejpam-6053	251	14	ipre	ipre	PROPN
ejpam-6053	251	15	,	,	PUNCT
ejpam-6053	251	16	ipost	ipost	VERB
ejpam-6053	251	17	,	,	PUNCT
ejpam-6053	251	18	r	r	NOUN
ejpam-6053	251	19	)	)	PUNCT
ejpam-6053	251	20	∈	∈	PROPN
ejpam-6053	251	21	θ	θ	NOUN
ejpam-6053	251	22	:	:	PUNCT
ejpam-6053	251	23	(	(	PUNCT
ejpam-6053	251	24	s	s	X
ejpam-6053	251	25	>	>	X
ejpam-6053	251	26	0,le	0,le	PROPN
ejpam-6053	251	27	>	>	X
ejpam-6053	251	28	0	0	PROPN
ejpam-6053	251	29	,	,	PUNCT
ejpam-6053	251	30	ipre	ipre	NOUN
ejpam-6053	251	31	>	>	X
ejpam-6053	251	32	0	0	NUM
ejpam-6053	251	33	,	,	PUNCT
ejpam-6053	251	34	ipost	ipost	VERB
ejpam-6053	251	35	>	>	X
ejpam-6053	252	1	0,r	0,r	NUM
ejpam-6053	253	1	>	>	PUNCT
ejpam-6053	254	1	0	0	NUM
ejpam-6053	254	2	}	}	PUNCT
ejpam-6053	254	3	→	→	SYM
ejpam-6053	254	4	r	r	NOUN
ejpam-6053	254	5	by	by	ADP
ejpam-6053	254	6	y(t	y(t	PROPN
ejpam-6053	254	7	)	)	PUNCT
ejpam-6053	254	8	=	=	NOUN
ejpam-6053	254	9	a1	a1	NOUN
ejpam-6053	254	10	(	(	PUNCT
ejpam-6053	254	11	s	s	AUX
ejpam-6053	254	12	−	−	PROPN
ejpam-6053	254	13	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	254	14	s	s	PART
ejpam-6053	254	15	−	−	PROPN
ejpam-6053	254	16	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	254	17	s	s	PART
ejpam-6053	254	18	log	log	NOUN
ejpam-6053	254	19	[	[	PUNCT
ejpam-6053	254	20	s︷︸︸︷	s︷︸︸︷	NOUN
ejpam-6053	254	21	s	s	PART
ejpam-6053	254	22	]	]	X
ejpam-6053	254	23	)	)	PUNCT
ejpam-6053	254	24	+	+	NUM
ejpam-6053	254	25	a2	a2	PROPN
ejpam-6053	254	26	le	le	NOUN
ejpam-6053	254	27	−	−	PROPN
ejpam-6053	254	28	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	254	29	l	l	NOUN
ejpam-6053	254	30	e	e	X
ejpam-6053	254	31	−	−	PROPN
ejpam-6053	254	32	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	254	33	l	l	NOUN
ejpam-6053	254	34	e	e	X
ejpam-6053	254	35	log	log	NOUN
ejpam-6053	254	36	[	[	PUNCT
ejpam-6053	254	37	le︷︸︸︷	le︷︸︸︷	NOUN
ejpam-6053	254	38	l	l	NOUN
ejpam-6053	254	39	e	e	NOUN
ejpam-6053	254	40	]	]	PUNCT
ejpam-6053	254	41			PROPN
ejpam-6053	254	42	+	+	NUM
ejpam-6053	254	43	a3	a3	NOUN
ejpam-6053	254	44	ipre	ipre	NOUN
ejpam-6053	254	45	−	−	PROPN
ejpam-6053	254	46	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	255	1	i	i	PRON
ejpam-6053	255	2	pre	pre	VERB
ejpam-6053	255	3	−	−	PROPN
ejpam-6053	255	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	255	5	i	i	PRON
ejpam-6053	255	6	pre	pre	VERB
ejpam-6053	256	1	log	log	VERB
ejpam-6053	256	2	[	[	PUNCT
ejpam-6053	256	3	ipre︷︸︸︷	ipre︷︸︸︷	ADV
ejpam-6053	256	4	i	i	PRON
ejpam-6053	256	5	pre	pre	VERB
ejpam-6053	257	1	]	]	X
ejpam-6053	257	2	+	+	NOUN
ejpam-6053	257	3	a4	a4	NOUN
ejpam-6053	257	4	ipost	ipost	VERB
ejpam-6053	257	5	−	−	PROPN
ejpam-6053	257	6	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	258	1	i	i	PRON
ejpam-6053	258	2	post	post	VERB
ejpam-6053	258	3	−	−	DET
ejpam-6053	258	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	258	5	i	i	PRON
ejpam-6053	258	6	post	post	VERB
ejpam-6053	258	7	log	log	NOUN
ejpam-6053	258	8	[	[	PUNCT
ejpam-6053	258	9	ipost︷︸︸︷	ipost︷︸︸︷	NOUN
ejpam-6053	258	10	i	i	PRON
ejpam-6053	258	11	post	post	VERB
ejpam-6053	258	12	]	]	PUNCT
ejpam-6053	258	13			NOUN
ejpam-6053	258	14	+	+	CCONJ
ejpam-6053	258	15	a5	a5	PROPN
ejpam-6053	258	16	(	(	PUNCT
ejpam-6053	258	17	r−	r−	PROPN
ejpam-6053	258	18	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	258	19	r	r	NOUN
ejpam-6053	258	20	−	−	NOUN
ejpam-6053	258	21	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	258	22	r	r	NOUN
ejpam-6053	258	23	log	log	NOUN
ejpam-6053	258	24	[	[	PUNCT
ejpam-6053	258	25	r︷︸︸︷	r︷︸︸︷	NOUN
ejpam-6053	258	26	r	r	NOUN
ejpam-6053	258	27	]	]	X
ejpam-6053	258	28	)	)	PUNCT
ejpam-6053	258	29	,	,	PUNCT
ejpam-6053	258	30	(	(	PUNCT
ejpam-6053	258	31	23	23	X
ejpam-6053	258	32	)	)	PUNCT
ejpam-6053	258	33	eiman	eiman	NOUN
ejpam-6053	258	34	et	et	PROPN
ejpam-6053	258	35	al	al	PROPN
ejpam-6053	258	36	.	.	PUNCT
ejpam-6053	258	37	/	/	SYM
ejpam-6053	258	38	eur	eur	PROPN
ejpam-6053	258	39	.	.	PUNCT
ejpam-6053	259	1	j.	j.	PROPN
ejpam-6053	259	2	pure	pure	PROPN
ejpam-6053	259	3	appl	appl	PROPN
ejpam-6053	259	4	.	.	PROPN
ejpam-6053	259	5	math	math	PROPN
ejpam-6053	259	6	,	,	PUNCT
ejpam-6053	259	7	18	18	NUM
ejpam-6053	259	8	(	(	PUNCT
ejpam-6053	259	9	2	2	NUM
ejpam-6053	259	10	)	)	PUNCT
ejpam-6053	259	11	(	(	PUNCT
ejpam-6053	259	12	2025	2025	NUM
ejpam-6053	259	13	)	)	PUNCT
ejpam-6053	259	14	,	,	PUNCT
ejpam-6053	259	15	6053	6053	NUM
ejpam-6053	259	16	11	11	NUM
ejpam-6053	259	17	of	of	ADP
ejpam-6053	259	18	26	26	NUM
ejpam-6053	259	19	the	the	DET
ejpam-6053	259	20	function	function	NOUN
ejpam-6053	259	21	y	y	PROPN
ejpam-6053	259	22	is	be	AUX
ejpam-6053	259	23	continuous	continuous	ADJ
ejpam-6053	259	24	and	and	CCONJ
ejpam-6053	259	25	positive	positive	ADJ
ejpam-6053	259	26	definite	definite	ADJ
ejpam-6053	259	27	for	for	ADP
ejpam-6053	259	28	all	all	PRON
ejpam-6053	259	29	s	s	PROPN
ejpam-6053	259	30	>	>	X
ejpam-6053	259	31	0,le	0,le	PROPN
ejpam-6053	259	32	>	>	X
ejpam-6053	259	33	0	0	PROPN
ejpam-6053	259	34	,	,	PUNCT
ejpam-6053	259	35	ipre	ipre	NOUN
ejpam-6053	259	36	>	>	X
ejpam-6053	259	37	0	0	NUM
ejpam-6053	259	38	,	,	PUNCT
ejpam-6053	259	39	ipost	ipost	VERB
ejpam-6053	259	40	>	>	X
ejpam-6053	260	1	0,r	0,r	NUM
ejpam-6053	261	1	>	>	PUNCT
ejpam-6053	262	1	0	0	NUM
ejpam-6053	262	2	,	,	PUNCT
ejpam-6053	262	3	while	while	SCONJ
ejpam-6053	262	4	ai	ai	VERB
ejpam-6053	262	5	>	>	X
ejpam-6053	262	6	0(i	0(i	NUM
ejpam-6053	262	7	=	=	SYM
ejpam-6053	262	8	1	1	NUM
ejpam-6053	262	9	,	,	PUNCT
ejpam-6053	262	10	2	2	NUM
ejpam-6053	262	11	,	,	PUNCT
ejpam-6053	262	12	..	..	PUNCT
ejpam-6053	262	13	,	,	PUNCT
ejpam-6053	262	14	5	5	NUM
ejpam-6053	262	15	are	be	AUX
ejpam-6053	262	16	constants	constant	NOUN
ejpam-6053	262	17	which	which	PRON
ejpam-6053	262	18	can	can	AUX
ejpam-6053	262	19	be	be	AUX
ejpam-6053	262	20	fixed	fix	VERB
ejpam-6053	262	21	later	later	ADV
ejpam-6053	262	22	.	.	PUNCT
ejpam-6053	263	1	now	now	ADV
ejpam-6053	263	2	using	use	VERB
ejpam-6053	263	3	lemma	lemma	PROPN
ejpam-6053	263	4	2	2	NUM
ejpam-6053	263	5	,	,	PUNCT
ejpam-6053	263	6	from	from	ADP
ejpam-6053	263	7	(	(	PUNCT
ejpam-6053	263	8	23	23	NUM
ejpam-6053	263	9	)	)	PUNCT
ejpam-6053	263	10	,	,	PUNCT
ejpam-6053	263	11	we	we	PRON
ejpam-6053	263	12	have	have	VERB
ejpam-6053	263	13	pabcdξ	pabcdξ	ADJ
ejpam-6053	263	14	+0[y(t	+0[y(t	PROPN
ejpam-6053	263	15	)	)	PUNCT
ejpam-6053	263	16	]	]	PUNCT
ejpam-6053	264	1	≤	≤	NUM
ejpam-6053	264	2	a1	a1	NOUN
ejpam-6053	264	3	s	s	X
ejpam-6053	264	4	−	−	PROPN
ejpam-6053	264	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	264	6	s	s	PART
ejpam-6053	264	7	s	s	X
ejpam-6053	264	8			PROPN
ejpam-6053	264	9	pabcdξ	pabcdξ	NOUN
ejpam-6053	264	10	+0s(t	+0s(t	NUM
ejpam-6053	264	11	)	)	PUNCT
ejpam-6053	264	12	+	+	NUM
ejpam-6053	264	13	a2	a2	PROPN
ejpam-6053	264	14	le	le	NOUN
ejpam-6053	264	15	−	−	PROPN
ejpam-6053	264	16	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	264	17	l	l	NOUN
ejpam-6053	264	18	e	e	X
ejpam-6053	264	19	le	le	X
ejpam-6053	264	20			PROPN
ejpam-6053	264	21	pabcdξ	pabcdξ	NOUN
ejpam-6053	264	22	+0le(t	+0le(t	ADJ
ejpam-6053	264	23	)	)	PUNCT
ejpam-6053	264	24	+	+	NUM
ejpam-6053	264	25	a3	a3	NOUN
ejpam-6053	264	26	ipre	ipre	NOUN
ejpam-6053	264	27	−	−	PROPN
ejpam-6053	264	28	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	265	1	i	i	PRON
ejpam-6053	265	2	pre︷︸︸︷	pre︷︸︸︷	VERB
ejpam-6053	265	3	i	i	PRON
ejpam-6053	265	4	pre	pre	X
ejpam-6053	265	5			PROPN
ejpam-6053	265	6	pabcdξ	pabcdξ	NOUN
ejpam-6053	266	1	+0ipre(t	+0ipre(t	PROPN
ejpam-6053	266	2	)	)	PUNCT
ejpam-6053	266	3	+	+	NUM
ejpam-6053	266	4	a4	a4	NOUN
ejpam-6053	266	5	ipost	ipost	ADJ
ejpam-6053	266	6	−	−	PROPN
ejpam-6053	266	7	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	267	1	i	i	PRON
ejpam-6053	267	2	post︷︸︸︷	post︷︸︸︷	NOUN
ejpam-6053	268	1	i	i	PRON
ejpam-6053	268	2	post	post	VERB
ejpam-6053	268	3			PROPN
ejpam-6053	268	4	pabcdξ	pabcdξ	NOUN
ejpam-6053	268	5	+0ipost(t	+0ipost(t	PROPN
ejpam-6053	268	6	)	)	PUNCT
ejpam-6053	269	1	+	+	CCONJ
ejpam-6053	269	2	a5	a5	PROPN
ejpam-6053	269	3	r−	r−	NOUN
ejpam-6053	269	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	269	5	r	r	NOUN
ejpam-6053	269	6	r	r	NOUN
ejpam-6053	269	7			PROPN
ejpam-6053	269	8	pabcdξ	pabcdξ	NOUN
ejpam-6053	269	9	+0r(t	+0r(t	PROPN
ejpam-6053	269	10	)	)	PUNCT
ejpam-6053	269	11	,	,	PUNCT
ejpam-6053	269	12	(	(	PUNCT
ejpam-6053	269	13	24	24	NUM
ejpam-6053	269	14	)	)	PUNCT
ejpam-6053	269	15	from	from	ADP
ejpam-6053	269	16	model	model	NOUN
ejpam-6053	269	17	(	(	PUNCT
ejpam-6053	269	18	3	3	NUM
ejpam-6053	269	19	)	)	PUNCT
ejpam-6053	269	20	,	,	PUNCT
ejpam-6053	269	21	(	(	PUNCT
ejpam-6053	269	22	24	24	NUM
ejpam-6053	269	23	)	)	PUNCT
ejpam-6053	269	24	yields	yield	NOUN
ejpam-6053	269	25	that	that	PRON
ejpam-6053	269	26	pabcdξ	pabcdξ	VERB
ejpam-6053	269	27	+0[y(t	+0[y(t	PROPN
ejpam-6053	269	28	)	)	PUNCT
ejpam-6053	269	29	]	]	PUNCT
ejpam-6053	270	1	≤	≤	NUM
ejpam-6053	270	2	a1	a1	NOUN
ejpam-6053	270	3	s	s	X
ejpam-6053	270	4	−	−	PROPN
ejpam-6053	270	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	270	6	s	s	PART
ejpam-6053	270	7	s	s	PROPN
ejpam-6053	270	8	[λξ	[λξ	PROPN
ejpam-6053	270	9	−	−	PROPN
ejpam-6053	270	10	ρξs(t)−	ρξs(t)−	PROPN
ejpam-6053	270	11	ϵξ1s(t)ipre(t)−	ϵξ1s(t)ipre(t)−	PROPN
ejpam-6053	270	12	ϵξ2s(t)ipost(t	ϵξ2s(t)ipost(t	NOUN
ejpam-6053	270	13	)	)	PUNCT
ejpam-6053	270	14	]	]	PUNCT
ejpam-6053	271	1	+	+	NUM
ejpam-6053	271	2	a2	a2	PROPN
ejpam-6053	271	3	le	le	NOUN
ejpam-6053	271	4	−	−	PROPN
ejpam-6053	271	5	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	271	6	l	l	NOUN
ejpam-6053	271	7	e	e	X
ejpam-6053	271	8	le	le	X
ejpam-6053	271	9	[ϵξ1s(t)ipre(t	[ϵξ1s(t)ipre(t	PROPN
ejpam-6053	271	10	)	)	PUNCT
ejpam-6053	272	1	+	+	CCONJ
ejpam-6053	272	2	ϵξ2s(t)ipost(t)−	ϵξ2s(t)ipost(t)−	X
ejpam-6053	272	3	(	(	PUNCT
ejpam-6053	272	4	εξ	εξ	NOUN
ejpam-6053	272	5	+	+	X
ejpam-6053	272	6	ρξ)le	ρξ)le	PUNCT
ejpam-6053	272	7	]	]	X
ejpam-6053	272	8	+	+	NUM
ejpam-6053	272	9	a3	a3	NOUN
ejpam-6053	272	10	ipre	ipre	NOUN
ejpam-6053	272	11	−	−	PROPN
ejpam-6053	273	1	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	274	1	i	i	PRON
ejpam-6053	274	2	pre︷︸︸︷	pre︷︸︸︷	VERB
ejpam-6053	274	3	i	i	PRON
ejpam-6053	274	4	pre	pre	VERB
ejpam-6053	274	5	[εξle	[εξle	NOUN
ejpam-6053	275	1	−	−	PROPN
ejpam-6053	275	2	(	(	PUNCT
ejpam-6053	275	3	ρξ	ρξ	PROPN
ejpam-6053	275	4	+	+	CCONJ
ejpam-6053	275	5	κξ1)ipre(t)−	κξ1)ipre(t)−	PROPN
ejpam-6053	275	6	αξipre(t	αξipre(t	PROPN
ejpam-6053	275	7	)	)	PUNCT
ejpam-6053	275	8	]	]	PUNCT
ejpam-6053	276	1	+	+	PUNCT
ejpam-6053	276	2	a4	a4	NOUN
ejpam-6053	276	3	ipost	ipost	VERB
ejpam-6053	276	4	−	−	PROPN
ejpam-6053	276	5	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	277	1	i	i	PRON
ejpam-6053	277	2	post︷︸︸︷	post︷︸︸︷	NOUN
ejpam-6053	278	1	i	i	PRON
ejpam-6053	278	2	post	post	VERB
ejpam-6053	278	3	[αξipre(t)−	[αξipre(t)−	PROPN
ejpam-6053	278	4	(	(	PUNCT
ejpam-6053	278	5	ρξ	ρξ	ADJ
ejpam-6053	278	6	+	+	CCONJ
ejpam-6053	278	7	κξ2)ipost(t	κξ2)ipost(t	NOUN
ejpam-6053	278	8	)	)	PUNCT
ejpam-6053	278	9	]	]	PUNCT
ejpam-6053	279	1	+	+	CCONJ
ejpam-6053	279	2	a5	a5	PROPN
ejpam-6053	279	3	r−	r−	NOUN
ejpam-6053	279	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	279	5	r	r	NOUN
ejpam-6053	279	6	r	r	NOUN
ejpam-6053	279	7	[κξ1ipre(t	[κξ1ipre(t	PROPN
ejpam-6053	279	8	)	)	PUNCT
ejpam-6053	279	9	+	+	CCONJ
ejpam-6053	279	10	κξ2ipost(t)−	κξ2ipost(t)−	PROPN
ejpam-6053	279	11	ρξr(t	ρξr(t	NOUN
ejpam-6053	279	12	)	)	PUNCT
ejpam-6053	279	13	]	]	PUNCT
ejpam-6053	279	14	.	.	PUNCT
ejpam-6053	280	1	(	(	PUNCT
ejpam-6053	280	2	25	25	NUM
ejpam-6053	280	3	)	)	PUNCT
ejpam-6053	280	4	plugging	plug	VERB
ejpam-6053	280	5	s	s	NOUN
ejpam-6053	280	6	=	=	X
ejpam-6053	280	7	s	s	PART
ejpam-6053	280	8	−	−	PROPN
ejpam-6053	280	9	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	280	10	s	s	PART
ejpam-6053	280	11	,	,	PUNCT
ejpam-6053	280	12	le	le	X
ejpam-6053	280	13	=	=	PUNCT
ejpam-6053	280	14	le	le	PROPN
ejpam-6053	280	15	−	−	NOUN
ejpam-6053	280	16	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	280	17	l	l	NOUN
ejpam-6053	280	18	e	e	NOUN
ejpam-6053	280	19	,	,	PUNCT
ejpam-6053	280	20	ipre	ipre	NOUN
ejpam-6053	281	1	=	=	NOUN
ejpam-6053	281	2	ipre	ipre	NOUN
ejpam-6053	282	1	−	−	PROPN
ejpam-6053	282	2	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	282	3	i	i	PRON
ejpam-6053	282	4	pre	pre	VERB
ejpam-6053	282	5	,	,	PUNCT
ejpam-6053	282	6	ipost	ipost	ADJ
ejpam-6053	282	7	=	=	PUNCT
ejpam-6053	282	8	ipost	ipost	NOUN
ejpam-6053	283	1	−	−	NOUN
ejpam-6053	283	2	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	283	3	i	i	PRON
ejpam-6053	283	4	post	post	VERB
ejpam-6053	283	5	,	,	PUNCT
ejpam-6053	283	6	r	r	NOUN
ejpam-6053	283	7	=	=	SYM
ejpam-6053	283	8	r−	r−	PROPN
ejpam-6053	283	9	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	283	10	r	r	NOUN
ejpam-6053	283	11	in	in	ADP
ejpam-6053	283	12	(	(	PUNCT
ejpam-6053	283	13	25	25	NUM
ejpam-6053	283	14	)	)	PUNCT
ejpam-6053	283	15	,	,	PUNCT
ejpam-6053	283	16	we	we	PRON
ejpam-6053	283	17	have	have	VERB
ejpam-6053	283	18	pabcdξ	pabcdξ	ADJ
ejpam-6053	283	19	+0[y(t	+0[y(t	PROPN
ejpam-6053	283	20	)	)	PUNCT
ejpam-6053	283	21	]	]	PUNCT
ejpam-6053	284	1	≤	≤	NUM
ejpam-6053	284	2	a1	a1	NOUN
ejpam-6053	284	3	s	s	X
ejpam-6053	284	4	−	−	PROPN
ejpam-6053	284	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	284	6	s	s	PART
ejpam-6053	284	7	s	s	PROPN
ejpam-6053	284	8	[λξ	[λξ	PROPN
ejpam-6053	284	9	−	−	PROPN
ejpam-6053	284	10	ρξ(s	ρξ(s	PRON
ejpam-6053	284	11	−	−	PROPN
ejpam-6053	284	12	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	284	13	s	s	PART
ejpam-6053	284	14	)	)	PUNCT
ejpam-6053	284	15	eiman	eiman	NOUN
ejpam-6053	284	16	et	et	PROPN
ejpam-6053	284	17	al	al	PROPN
ejpam-6053	284	18	.	.	PUNCT
ejpam-6053	284	19	/	/	SYM
ejpam-6053	284	20	eur	eur	PROPN
ejpam-6053	284	21	.	.	PUNCT
ejpam-6053	285	1	j.	j.	PROPN
ejpam-6053	285	2	pure	pure	PROPN
ejpam-6053	285	3	appl	appl	PROPN
ejpam-6053	285	4	.	.	PROPN
ejpam-6053	285	5	math	math	PROPN
ejpam-6053	285	6	,	,	PUNCT
ejpam-6053	285	7	18	18	NUM
ejpam-6053	285	8	(	(	PUNCT
ejpam-6053	285	9	2	2	NUM
ejpam-6053	285	10	)	)	PUNCT
ejpam-6053	285	11	(	(	PUNCT
ejpam-6053	285	12	2025	2025	NUM
ejpam-6053	285	13	)	)	PUNCT
ejpam-6053	285	14	,	,	PUNCT
ejpam-6053	285	15	6053	6053	NUM
ejpam-6053	285	16	12	12	NUM
ejpam-6053	285	17	of	of	ADP
ejpam-6053	285	18	26	26	NUM
ejpam-6053	285	19	−	−	NOUN
ejpam-6053	285	20	ϵξ1(s	ϵξ1(s	INTJ
ejpam-6053	286	1	−	−	PROPN
ejpam-6053	286	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	286	3	s	s	PART
ejpam-6053	286	4	)	)	PUNCT
ejpam-6053	286	5	(	(	PUNCT
ejpam-6053	286	6	ipre	ipre	NOUN
ejpam-6053	286	7	−	−	PROPN
ejpam-6053	287	1	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	287	2	i	i	PRON
ejpam-6053	287	3	pre	pre	VERB
ejpam-6053	287	4	)	)	PUNCT
ejpam-6053	288	1	−	−	PROPN
ejpam-6053	289	1	ϵξ2(s	ϵξ2(s	NOUN
ejpam-6053	290	1	−	−	PROPN
ejpam-6053	290	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	290	3	s	s	PART
ejpam-6053	290	4	)	)	PUNCT
ejpam-6053	290	5	(	(	PUNCT
ejpam-6053	290	6	ipost	ipost	VERB
ejpam-6053	290	7	−	−	NOUN
ejpam-6053	290	8	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	290	9	i	i	PRON
ejpam-6053	290	10	post	post	VERB
ejpam-6053	290	11	)	)	PUNCT
ejpam-6053	290	12	]	]	PUNCT
ejpam-6053	291	1	+	+	NUM
ejpam-6053	291	2	a2	a2	PROPN
ejpam-6053	291	3	le	le	NOUN
ejpam-6053	291	4	−	−	PROPN
ejpam-6053	291	5	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	291	6	l	l	NOUN
ejpam-6053	291	7	e	e	X
ejpam-6053	291	8	le	le	X
ejpam-6053	291	9	[ϵξ1(s	[ϵξ1(s	PRON
ejpam-6053	291	10	−	−	PROPN
ejpam-6053	291	11	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	291	12	s	s	PART
ejpam-6053	291	13	)	)	PUNCT
ejpam-6053	291	14	(	(	PUNCT
ejpam-6053	291	15	ipre	ipre	NOUN
ejpam-6053	291	16	−	−	PROPN
ejpam-6053	292	1	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	292	2	i	i	PRON
ejpam-6053	292	3	pre	pre	ADJ
ejpam-6053	292	4	)	)	PUNCT
ejpam-6053	293	1	+	+	CCONJ
ejpam-6053	294	1	ϵξ2(s	ϵξ2(s	PROPN
ejpam-6053	294	2	−	−	PROPN
ejpam-6053	295	1	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	295	2	s	s	PART
ejpam-6053	295	3	)	)	PUNCT
ejpam-6053	295	4	(	(	PUNCT
ejpam-6053	295	5	ipost	ipost	VERB
ejpam-6053	295	6	−	−	NOUN
ejpam-6053	295	7	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	295	8	i	i	PRON
ejpam-6053	295	9	post	post	VERB
ejpam-6053	295	10	)	)	PUNCT
ejpam-6053	296	1	−	−	PROPN
ejpam-6053	297	1	(	(	PUNCT
ejpam-6053	297	2	εξ	εξ	NOUN
ejpam-6053	297	3	+	+	NOUN
ejpam-6053	297	4	ρξ)(le	ρξ)(le	NUM
ejpam-6053	297	5	−	−	PROPN
ejpam-6053	297	6	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	297	7	l	l	NOUN
ejpam-6053	297	8	e	e	NOUN
ejpam-6053	297	9	)	)	PUNCT
ejpam-6053	297	10	]	]	PUNCT
ejpam-6053	298	1	+	+	NUM
ejpam-6053	298	2	a3	a3	NOUN
ejpam-6053	298	3	ipre	ipre	NOUN
ejpam-6053	298	4	−	−	PROPN
ejpam-6053	298	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	299	1	i	i	PRON
ejpam-6053	299	2	pre︷︸︸︷	pre︷︸︸︷	VERB
ejpam-6053	299	3	i	i	PRON
ejpam-6053	299	4	pre	pre	VERB
ejpam-6053	299	5	[εξ(le	[εξ(le	X
ejpam-6053	300	1	−	−	ADP
ejpam-6053	300	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	300	3	l	l	NOUN
ejpam-6053	300	4	e	e	NOUN
ejpam-6053	300	5	)	)	PUNCT
ejpam-6053	300	6	−	−	PROPN
ejpam-6053	300	7	(	(	PUNCT
ejpam-6053	300	8	ρξ	ρξ	PROPN
ejpam-6053	300	9	+	+	NUM
ejpam-6053	300	10	κξ1)(ipre	κξ1)(ipre	PROPN
ejpam-6053	301	1	−	−	PROPN
ejpam-6053	301	2	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	301	3	i	i	PRON
ejpam-6053	301	4	pre	pre	VERB
ejpam-6053	301	5	)	)	PUNCT
ejpam-6053	302	1	−	−	PROPN
ejpam-6053	303	1	αξ(ipre	αξ(ipre	NOUN
ejpam-6053	304	1	−	−	NUM
ejpam-6053	305	1	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	305	2	i	i	PRON
ejpam-6053	305	3	pre	pre	VERB
ejpam-6053	305	4	)	)	PUNCT
ejpam-6053	305	5	]	]	PUNCT
ejpam-6053	306	1	+	+	PUNCT
ejpam-6053	306	2	a4	a4	NOUN
ejpam-6053	306	3	ipost	ipost	VERB
ejpam-6053	306	4	−	−	PROPN
ejpam-6053	306	5	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	307	1	i	i	PRON
ejpam-6053	307	2	post︷︸︸︷	post︷︸︸︷	NOUN
ejpam-6053	308	1	i	i	PRON
ejpam-6053	308	2	post	post	VERB
ejpam-6053	308	3	[αξ(ipre	[αξ(ipre	PUNCT
ejpam-6053	308	4	−	−	NUM
ejpam-6053	308	5	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	308	6	i	i	PRON
ejpam-6053	308	7	pre	pre	VERB
ejpam-6053	308	8	)	)	PUNCT
ejpam-6053	309	1	−	−	PROPN
ejpam-6053	309	2	(	(	PUNCT
ejpam-6053	309	3	ρξ	ρξ	ADP
ejpam-6053	309	4	+	+	CCONJ
ejpam-6053	309	5	κξ2)(ipost	κξ2)(ipost	NOUN
ejpam-6053	309	6	−	−	PROPN
ejpam-6053	309	7	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	310	1	i	i	PRON
ejpam-6053	310	2	post	post	VERB
ejpam-6053	310	3	)	)	PUNCT
ejpam-6053	310	4	]	]	PUNCT
ejpam-6053	311	1	+	+	CCONJ
ejpam-6053	311	2	a5	a5	PROPN
ejpam-6053	311	3	r−	r−	NOUN
ejpam-6053	311	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	311	5	r	r	NOUN
ejpam-6053	311	6	r	r	NOUN
ejpam-6053	311	7	[κξ1(ipre	[κξ1(ipre	PROPN
ejpam-6053	312	1	−	−	PROPN
ejpam-6053	312	2	︷︸︸︷ipre	︷︸︸︷ipre	X
ejpam-6053	312	3	)	)	PUNCT
ejpam-6053	313	1	+	+	CCONJ
ejpam-6053	313	2	κξ2(ipost	κξ2(ipost	NUM
ejpam-6053	313	3	−	−	ADP
ejpam-6053	313	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	314	1	i	i	PRON
ejpam-6053	314	2	post	post	VERB
ejpam-6053	314	3	)	)	PUNCT
ejpam-6053	314	4	−	−	PROPN
ejpam-6053	314	5	ρξ(r−	ρξ(r−	NUM
ejpam-6053	314	6	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	314	7	r	r	NOUN
ejpam-6053	314	8	)	)	PUNCT
ejpam-6053	314	9	]	]	PUNCT
ejpam-6053	314	10	.	.	PUNCT
ejpam-6053	315	1	(	(	PUNCT
ejpam-6053	315	2	26	26	NUM
ejpam-6053	315	3	)	)	PUNCT
ejpam-6053	315	4	re	re	VERB
ejpam-6053	315	5	-	-	VERB
ejpam-6053	315	6	arranging	arrange	VERB
ejpam-6053	315	7	the	the	DET
ejpam-6053	315	8	terms	term	NOUN
ejpam-6053	315	9	,	,	PUNCT
ejpam-6053	315	10	we	we	PRON
ejpam-6053	315	11	can	can	AUX
ejpam-6053	315	12	write	write	VERB
ejpam-6053	315	13	(	(	PUNCT
ejpam-6053	315	14	26	26	NUM
ejpam-6053	315	15	)	)	PUNCT
ejpam-6053	315	16	using	use	VERB
ejpam-6053	315	17	ai	ai	PROPN
ejpam-6053	315	18	=	=	SYM
ejpam-6053	315	19	1(i	1(i	NUM
ejpam-6053	315	20	=	=	SYM
ejpam-6053	315	21	1	1	NUM
ejpam-6053	315	22	,	,	PUNCT
ejpam-6053	315	23	2	2	NUM
ejpam-6053	315	24	,	,	PUNCT
ejpam-6053	315	25	...	...	PUNCT
ejpam-6053	315	26	,	,	PUNCT
ejpam-6053	315	27	5	5	X
ejpam-6053	315	28	)	)	PUNCT
ejpam-6053	315	29	as	as	ADP
ejpam-6053	315	30	pabcdξ	pabcdξ	ADJ
ejpam-6053	315	31	+0[y(t	+0[y(t	PROPN
ejpam-6053	315	32	)	)	PUNCT
ejpam-6053	315	33	]	]	PUNCT
ejpam-6053	316	1	≤	≤	PROPN
ejpam-6053	316	2	ω1	ω1	PROPN
ejpam-6053	316	3	−	−	PROPN
ejpam-6053	316	4	ω2	ω2	PROPN
ejpam-6053	316	5	,	,	PUNCT
ejpam-6053	316	6	(	(	PUNCT
ejpam-6053	316	7	27	27	NUM
ejpam-6053	316	8	)	)	PUNCT
ejpam-6053	316	9	where	where	SCONJ
ejpam-6053	316	10	ω1	ω1	PROPN
ejpam-6053	316	11	=	=	SYM
ejpam-6053	316	12	s	s	PROPN
ejpam-6053	316	13	−	−	PROPN
ejpam-6053	316	14	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	316	15	s	s	X
ejpam-6053	316	16	s	s	X
ejpam-6053	316	17	λξ	λξ	NOUN
ejpam-6053	316	18	+	+	CCONJ
ejpam-6053	316	19	le	le	NOUN
ejpam-6053	316	20	−	−	ADP
ejpam-6053	316	21	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	316	22	l	l	NOUN
ejpam-6053	316	23	e	e	X
ejpam-6053	316	24	le	le	X
ejpam-6053	316	25	[ϵξ1(s	[ϵξ1(s	PRON
ejpam-6053	316	26	−	−	PROPN
ejpam-6053	316	27	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	316	28	s	s	PART
ejpam-6053	316	29	)	)	PUNCT
ejpam-6053	316	30	(	(	PUNCT
ejpam-6053	316	31	ipre	ipre	NOUN
ejpam-6053	316	32	−	−	PROPN
ejpam-6053	317	1	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	317	2	i	i	PRON
ejpam-6053	317	3	pre	pre	ADJ
ejpam-6053	317	4	)	)	PUNCT
ejpam-6053	318	1	+	+	CCONJ
ejpam-6053	319	1	ϵξ2(s	ϵξ2(s	PROPN
ejpam-6053	319	2	−	−	PROPN
ejpam-6053	320	1	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	320	2	s	s	PART
ejpam-6053	320	3	)	)	PUNCT
ejpam-6053	320	4	(	(	PUNCT
ejpam-6053	320	5	ipost	ipost	VERB
ejpam-6053	320	6	−	−	NOUN
ejpam-6053	320	7	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	320	8	i	i	PRON
ejpam-6053	320	9	post	post	VERB
ejpam-6053	320	10	)	)	PUNCT
ejpam-6053	320	11	]	]	PUNCT
ejpam-6053	321	1	+	+	CCONJ
ejpam-6053	321	2	ipre	ipre	NOUN
ejpam-6053	321	3	−	−	PROPN
ejpam-6053	321	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	322	1	i	i	PRON
ejpam-6053	322	2	pre︷︸︸︷	pre︷︸︸︷	VERB
ejpam-6053	322	3	i	i	PRON
ejpam-6053	322	4	pre	pre	X
ejpam-6053	323	1			PROPN
ejpam-6053	323	2	εξ(le	εξ(le	VERB
ejpam-6053	323	3	−	−	PROPN
ejpam-6053	323	4	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	323	5	l	l	NOUN
ejpam-6053	323	6	e	e	NOUN
ejpam-6053	323	7	)	)	PUNCT
ejpam-6053	324	1	+	+	CCONJ
ejpam-6053	324	2	ipost	ipost	ADJ
ejpam-6053	324	3	−	−	ADP
ejpam-6053	324	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	325	1	i	i	PRON
ejpam-6053	325	2	post︷︸︸︷	post︷︸︸︷	NOUN
ejpam-6053	326	1	i	i	PRON
ejpam-6053	326	2	post	post	VERB
ejpam-6053	326	3	αξ(ipre	αξ(ipre	PUNCT
ejpam-6053	327	1	−	−	PROPN
ejpam-6053	327	2	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	327	3	i	i	PRON
ejpam-6053	327	4	pre	pre	VERB
ejpam-6053	327	5	)	)	PUNCT
ejpam-6053	328	1	+	+	CCONJ
ejpam-6053	328	2	r−	r−	NOUN
ejpam-6053	328	3	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	328	4	r	r	NOUN
ejpam-6053	328	5	r	r	NOUN
ejpam-6053	328	6	[κξ1(ipre	[κξ1(ipre	PROPN
ejpam-6053	329	1	−	−	PROPN
ejpam-6053	329	2	︷︸︸︷ipre	︷︸︸︷ipre	X
ejpam-6053	329	3	)	)	PUNCT
ejpam-6053	330	1	+	+	CCONJ
ejpam-6053	330	2	κξ2(ipost	κξ2(ipost	NUM
ejpam-6053	330	3	−	−	ADP
ejpam-6053	330	4	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	331	1	i	i	PRON
ejpam-6053	331	2	post	post	VERB
ejpam-6053	331	3	)	)	PUNCT
ejpam-6053	331	4	]	]	PUNCT
ejpam-6053	331	5	and	and	CCONJ
ejpam-6053	331	6	ω2	ω2	ADJ
ejpam-6053	331	7	=	=	PUNCT
ejpam-6053	331	8	ϵξ2	ϵξ2	NOUN
ejpam-6053	331	9	s	s	X
ejpam-6053	331	10	[	[	PUNCT
ejpam-6053	331	11	s	s	NOUN
ejpam-6053	331	12	−	−	PROPN
ejpam-6053	331	13	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	331	14	s	s	PART
ejpam-6053	331	15	]	]	X
ejpam-6053	331	16	2	2	NUM
ejpam-6053	331	17	(	(	PUNCT
ejpam-6053	331	18	ipost	ipost	VERB
ejpam-6053	331	19	−	−	NOUN
ejpam-6053	331	20	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	331	21	i	i	PRON
ejpam-6053	331	22	post	post	VERB
ejpam-6053	331	23	)	)	PUNCT
ejpam-6053	332	1	+	+	CCONJ
ejpam-6053	332	2	(	(	PUNCT
ejpam-6053	332	3	εξ	εξ	NOUN
ejpam-6053	332	4	+	+	CCONJ
ejpam-6053	332	5	ρξ	ρξ	NOUN
ejpam-6053	332	6	)	)	PUNCT
ejpam-6053	332	7	le	le	X
ejpam-6053	332	8	[	[	PUNCT
ejpam-6053	332	9	le	le	X
ejpam-6053	332	10	−	−	PROPN
ejpam-6053	332	11	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	332	12	l	l	NOUN
ejpam-6053	332	13	e	e	X
ejpam-6053	332	14	]	]	X
ejpam-6053	332	15	2	2	NUM
ejpam-6053	332	16	+	+	CCONJ
ejpam-6053	332	17	(	(	PUNCT
ejpam-6053	332	18	ρξ	ρξ	ADJ
ejpam-6053	332	19	+	+	CCONJ
ejpam-6053	332	20	κξ1	κξ1	PRON
ejpam-6053	333	1	+	+	CCONJ
ejpam-6053	333	2	αξ)︷︸︸︷	αξ)︷︸︸︷	NOUN
ejpam-6053	334	1	i	i	PRON
ejpam-6053	334	2	pre	pre	VERB
ejpam-6053	334	3	[	[	PUNCT
ejpam-6053	334	4	ipre	ipre	NOUN
ejpam-6053	334	5	−	−	PROPN
ejpam-6053	334	6	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	335	1	i	i	PRON
ejpam-6053	335	2	pre	pre	VERB
ejpam-6053	335	3	]	]	X
ejpam-6053	335	4	2	2	NUM
ejpam-6053	335	5	+	+	CCONJ
ejpam-6053	335	6	(	(	PUNCT
ejpam-6053	335	7	ρξ	ρξ	ADJ
ejpam-6053	335	8	+	+	SYM
ejpam-6053	335	9	κξ2)︷︸︸︷	κξ2)︷︸︸︷	NOUN
ejpam-6053	335	10	i	i	PRON
ejpam-6053	335	11	post	post	VERB
ejpam-6053	335	12	[	[	PUNCT
ejpam-6053	335	13	ipost	ipost	NOUN
ejpam-6053	335	14	−	−	NOUN
ejpam-6053	335	15	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	336	1	i	i	PRON
ejpam-6053	336	2	post	post	VERB
ejpam-6053	336	3	]	]	X
ejpam-6053	336	4	2	2	NUM
ejpam-6053	337	1	+	+	CCONJ
ejpam-6053	337	2	ρξ	ρξ	NUM
ejpam-6053	337	3	r	r	NOUN
ejpam-6053	337	4	[	[	PUNCT
ejpam-6053	337	5	r−	r−	NOUN
ejpam-6053	337	6	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	337	7	r	r	NOUN
ejpam-6053	337	8	]	]	SYM
ejpam-6053	337	9	2	2	NUM
ejpam-6053	337	10	.	.	PUNCT
ejpam-6053	338	1	eiman	eiman	NOUN
ejpam-6053	338	2	et	et	PROPN
ejpam-6053	338	3	al	al	PROPN
ejpam-6053	338	4	.	.	PUNCT
ejpam-6053	338	5	/	/	SYM
ejpam-6053	338	6	eur	eur	PROPN
ejpam-6053	338	7	.	.	PUNCT
ejpam-6053	339	1	j.	j.	PROPN
ejpam-6053	339	2	pure	pure	PROPN
ejpam-6053	339	3	appl	appl	PROPN
ejpam-6053	339	4	.	.	PROPN
ejpam-6053	339	5	math	math	PROPN
ejpam-6053	339	6	,	,	PUNCT
ejpam-6053	339	7	18	18	NUM
ejpam-6053	339	8	(	(	PUNCT
ejpam-6053	339	9	2	2	NUM
ejpam-6053	339	10	)	)	PUNCT
ejpam-6053	339	11	(	(	PUNCT
ejpam-6053	339	12	2025	2025	NUM
ejpam-6053	339	13	)	)	PUNCT
ejpam-6053	339	14	,	,	PUNCT
ejpam-6053	339	15	6053	6053	NUM
ejpam-6053	339	16	13	13	NUM
ejpam-6053	339	17	of	of	ADP
ejpam-6053	339	18	26	26	NUM
ejpam-6053	339	19	we	we	PRON
ejpam-6053	339	20	observe	observe	VERB
ejpam-6053	339	21	from	from	ADP
ejpam-6053	339	22	(	(	PUNCT
ejpam-6053	339	23	27	27	NUM
ejpam-6053	339	24	)	)	PUNCT
ejpam-6053	339	25	,	,	PUNCT
ejpam-6053	339	26	if	if	SCONJ
ejpam-6053	339	27	ω1	ω1	PROPN
ejpam-6053	339	28	<	<	X
ejpam-6053	339	29	ω2	ω2	PROPN
ejpam-6053	339	30	,	,	PUNCT
ejpam-6053	339	31	then	then	ADV
ejpam-6053	339	32	pabcdξ	pabcdξ	ADJ
ejpam-6053	339	33	+0[y(t	+0[y(t	PROPN
ejpam-6053	339	34	)	)	PUNCT
ejpam-6053	339	35	]	]	PUNCT
ejpam-6053	340	1	≤	≤	NUM
ejpam-6053	340	2	0	0	NUM
ejpam-6053	340	3	.	.	PUNCT
ejpam-6053	341	1	also	also	ADV
ejpam-6053	341	2	if	if	SCONJ
ejpam-6053	341	3	s	s	PRON
ejpam-6053	341	4	=	=	VERB
ejpam-6053	341	5	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	341	6	s	s	PART
ejpam-6053	341	7	,	,	PUNCT
ejpam-6053	341	8	le	le	X
ejpam-6053	341	9	=	=	PUNCT
ejpam-6053	341	10	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	341	11	l	l	NOUN
ejpam-6053	341	12	e	e	NOUN
ejpam-6053	341	13	,	,	PUNCT
ejpam-6053	341	14	ipre	ipre	NOUN
ejpam-6053	342	1	=	=	PUNCT
ejpam-6053	342	2	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	342	3	i	i	PRON
ejpam-6053	342	4	pre	pre	VERB
ejpam-6053	342	5	,	,	PUNCT
ejpam-6053	342	6	ipost	ipost	NOUN
ejpam-6053	342	7	=	=	PUNCT
ejpam-6053	342	8	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	343	1	i	i	PRON
ejpam-6053	343	2	post	post	VERB
ejpam-6053	343	3	,	,	PUNCT
ejpam-6053	343	4	r	r	NOUN
ejpam-6053	343	5	=	=	SYM
ejpam-6053	343	6	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	343	7	r	r	NOUN
ejpam-6053	343	8	,	,	PUNCT
ejpam-6053	343	9	then	then	ADV
ejpam-6053	343	10	one	one	PRON
ejpam-6053	343	11	has	have	VERB
ejpam-6053	343	12	pabcdξ	pabcdξ	ADJ
ejpam-6053	343	13	+0[y(t	+0[y(t	PROPN
ejpam-6053	343	14	)	)	PUNCT
ejpam-6053	343	15	]	]	PUNCT
ejpam-6053	344	1	=	=	SYM
ejpam-6053	344	2	0	0	NUM
ejpam-6053	344	3	,	,	PUNCT
ejpam-6053	344	4	hence	hence	ADV
ejpam-6053	344	5	our	our	PRON
ejpam-6053	344	6	proposed	propose	VERB
ejpam-6053	344	7	model	model	NOUN
ejpam-6053	344	8	will	will	AUX
ejpam-6053	344	9	turned	turn	VERB
ejpam-6053	344	10	in	in	ADP
ejpam-6053	344	11	the	the	DET
ejpam-6053	344	12	largest	large	ADJ
ejpam-6053	344	13	invariant	invariant	ADJ
ejpam-6053	344	14	set	set	NOUN
ejpam-6053	344	15	given	give	VERB
ejpam-6053	344	16	by	by	ADP
ejpam-6053	344	17	{	{	PUNCT
ejpam-6053	344	18	(	(	PUNCT
ejpam-6053	344	19	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	344	20	s	s	PART
ejpam-6053	344	21	,	,	PUNCT
ejpam-6053	344	22	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	344	23	l	l	NOUN
ejpam-6053	344	24	e	e	NOUN
ejpam-6053	344	25	,	,	PUNCT
ejpam-6053	344	26	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	345	1	i	i	PRON
ejpam-6053	345	2	pre	pre	VERB
ejpam-6053	345	3	,	,	PUNCT
ejpam-6053	345	4	︷︸︸︷	︷︸︸︷	PROPN
ejpam-6053	345	5	i	i	PRON
ejpam-6053	345	6	post	post	VERB
ejpam-6053	345	7	,	,	PUNCT
ejpam-6053	345	8	︷︸︸︷	︷︸︸︷	NOUN
ejpam-6053	345	9	r	r	NOUN
ejpam-6053	346	1	)	)	PUNCT
ejpam-6053	346	2	∈	∈	PROPN
ejpam-6053	346	3	θ	θ	NOUN
ejpam-6053	346	4	:	:	PUNCT
ejpam-6053	346	5	pabc	pabc	VERB
ejpam-6053	346	6	dξ	dξ	PROPN
ejpam-6053	346	7	+0[y(t	+0[y(t	PROPN
ejpam-6053	346	8	)	)	PUNCT
ejpam-6053	346	9	]	]	PUNCT
ejpam-6053	347	1	=	=	PUNCT
ejpam-6053	347	2	0	0	NUM
ejpam-6053	347	3	}	}	PUNCT
ejpam-6053	347	4	.	.	PUNCT
ejpam-6053	348	1	hence	hence	ADV
ejpam-6053	348	2	in	in	ADP
ejpam-6053	348	3	view	view	NOUN
ejpam-6053	348	4	of	of	ADP
ejpam-6053	348	5	lasalle	lasalle	PROPN
ejpam-6053	348	6	’s	’s	PART
ejpam-6053	348	7	invariant	invariant	ADJ
ejpam-6053	348	8	principle	principle	NOUN
ejpam-6053	348	9	,	,	PUNCT
ejpam-6053	348	10	the	the	DET
ejpam-6053	348	11	non	non	ADJ
ejpam-6053	348	12	-	-	ADJ
ejpam-6053	348	13	trivial	trivial	ADJ
ejpam-6053	348	14	equilibrium	equilibrium	NOUN
ejpam-6053	348	15	of	of	ADP
ejpam-6053	348	16	our	our	PRON
ejpam-6053	348	17	proposed	propose	VERB
ejpam-6053	348	18	model	model	NOUN
ejpam-6053	348	19	is	be	AUX
ejpam-6053	348	20	globally	globally	ADV
ejpam-6053	348	21	asymptotically	asymptotically	ADV
ejpam-6053	348	22	stable	stable	ADJ
ejpam-6053	348	23	if	if	SCONJ
ejpam-6053	348	24	ω1	ω1	PROPN
ejpam-6053	348	25	<	<	X
ejpam-6053	348	26	ω2	ω2	PROPN
ejpam-6053	348	27	.	.	PUNCT
ejpam-6053	349	1	here	here	ADV
ejpam-6053	349	2	,	,	PUNCT
ejpam-6053	349	3	we	we	PRON
ejpam-6053	349	4	derive	derive	VERB
ejpam-6053	349	5	some	some	DET
ejpam-6053	349	6	sufficient	sufficient	ADJ
ejpam-6053	349	7	requirements	requirement	NOUN
ejpam-6053	349	8	for	for	ADP
ejpam-6053	349	9	the	the	DET
ejpam-6053	349	10	existence	existence	NOUN
ejpam-6053	349	11	of	of	ADP
ejpam-6053	349	12	a	a	DET
ejpam-6053	349	13	solution	solution	NOUN
ejpam-6053	349	14	to	to	ADP
ejpam-6053	349	15	the	the	DET
ejpam-6053	349	16	suggested	suggest	VERB
ejpam-6053	349	17	model	model	NOUN
ejpam-6053	349	18	by	by	ADP
ejpam-6053	349	19	applying	apply	VERB
ejpam-6053	349	20	analysis	analysis	NOUN
ejpam-6053	349	21	results	result	NOUN
ejpam-6053	349	22	.	.	PUNCT
ejpam-6053	350	1	(	(	PUNCT
ejpam-6053	350	2	3	3	X
ejpam-6053	350	3	)	)	PUNCT
ejpam-6053	350	4	can	can	AUX
ejpam-6053	350	5	be	be	AUX
ejpam-6053	350	6	expressed	express	VERB
ejpam-6053	350	7	as	as	ADP
ejpam-6053	350	8	a	a	DET
ejpam-6053	350	9	general	general	ADJ
ejpam-6053	350	10	system	system	NOUN
ejpam-6053	350	11	using	use	VERB
ejpam-6053	350	12	x	x	X
ejpam-6053	350	13	=	=	SYM
ejpam-6053	350	14	(	(	PUNCT
ejpam-6053	350	15	s	s	PROPN
ejpam-6053	350	16	,	,	PUNCT
ejpam-6053	350	17	le	le	X
ejpam-6053	350	18	,	,	PUNCT
ejpam-6053	350	19	ipre	ipre	PROPN
ejpam-6053	350	20	,	,	PUNCT
ejpam-6053	350	21	ipost	ipost	VERB
ejpam-6053	350	22	,	,	PUNCT
ejpam-6053	350	23	r	r	NOUN
ejpam-6053	350	24	)	)	PUNCT
ejpam-6053	350	25	{	{	PUNCT
ejpam-6053	350	26	pabcdξ	pabcdξ	NOUN
ejpam-6053	350	27	+0(x	+0(x	PROPN
ejpam-6053	350	28	)	)	PUNCT
ejpam-6053	350	29	(	(	PUNCT
ejpam-6053	350	30	t	t	NOUN
ejpam-6053	350	31	)	)	PUNCT
ejpam-6053	350	32	=	=	PUNCT
ejpam-6053	351	1	f(t	f(t	NOUN
ejpam-6053	351	2	,	,	PUNCT
ejpam-6053	351	3	x	x	X
ejpam-6053	351	4	(	(	PUNCT
ejpam-6053	351	5	t	t	PROPN
ejpam-6053	351	6	)	)	PUNCT
ejpam-6053	351	7	)	)	PUNCT
ejpam-6053	351	8	,	,	PUNCT
ejpam-6053	351	9	x	x	X
ejpam-6053	351	10	(	(	PUNCT
ejpam-6053	351	11	0	0	NUM
ejpam-6053	351	12	)	)	PUNCT
ejpam-6053	351	13	=	=	SYM
ejpam-6053	351	14	x0	x0	PROPN
ejpam-6053	351	15	.	.	PUNCT
ejpam-6053	352	1	(	(	PUNCT
ejpam-6053	352	2	28	28	NUM
ejpam-6053	352	3	)	)	PUNCT
ejpam-6053	352	4	the	the	DET
ejpam-6053	352	5	solution	solution	NOUN
ejpam-6053	352	6	of	of	ADP
ejpam-6053	352	7	(	(	PUNCT
ejpam-6053	352	8	28	28	NUM
ejpam-6053	352	9	)	)	PUNCT
ejpam-6053	352	10	is	be	AUX
ejpam-6053	352	11	given	give	VERB
ejpam-6053	352	12	by	by	ADP
ejpam-6053	352	13	inview	inview	PROPN
ejpam-6053	352	14	of	of	ADP
ejpam-6053	352	15	lemma	lemma	PROPN
ejpam-6053	352	16	1	1	NUM
ejpam-6053	352	17	as	as	ADP
ejpam-6053	352	18	x	x	X
ejpam-6053	352	19	(	(	PUNCT
ejpam-6053	352	20	t	t	NOUN
ejpam-6053	352	21	)	)	PUNCT
ejpam-6053	352	22	=	=	PUNCT
ejpam-6053	353	1			X
ejpam-6053	353	2	x0	x0	PROPN
ejpam-6053	353	3	+	+	CCONJ
ejpam-6053	353	4	1	1	NUM
ejpam-6053	353	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	353	6	)	)	PUNCT
ejpam-6053	354	1	∫	∫	PROPN
ejpam-6053	355	1	t	t	PROPN
ejpam-6053	355	2	0	0	NUM
ejpam-6053	356	1	f(ℓ,x	f(ℓ,x	NOUN
ejpam-6053	356	2	(	(	PUNCT
ejpam-6053	356	3	ℓ))(t−	ℓ))(t−	ADP
ejpam-6053	356	4	ℓ)ξ−1dℓ	ℓ)ξ−1dℓ	PROPN
ejpam-6053	356	5	,	,	PUNCT
ejpam-6053	356	6	t	t	PROPN
ejpam-6053	356	7	∈	∈	PROPN
ejpam-6053	356	8	j1	j1	PROPN
ejpam-6053	356	9	,	,	PUNCT
ejpam-6053	356	10	x	x	X
ejpam-6053	356	11	(	(	PUNCT
ejpam-6053	356	12	t1	t1	NOUN
ejpam-6053	356	13	)	)	PUNCT
ejpam-6053	357	1	+	+	CCONJ
ejpam-6053	357	2	1−	1−	NUM
ejpam-6053	357	3	ξ	ξ	X
ejpam-6053	357	4	abc(ξ	abc(ξ	NOUN
ejpam-6053	357	5	)	)	PUNCT
ejpam-6053	357	6	f(t	f(t	NOUN
ejpam-6053	357	7	,	,	PUNCT
ejpam-6053	357	8	x	x	X
ejpam-6053	357	9	(	(	PUNCT
ejpam-6053	357	10	t	t	PROPN
ejpam-6053	357	11	)	)	PUNCT
ejpam-6053	357	12	)	)	PUNCT
ejpam-6053	358	1	+	+	CCONJ
ejpam-6053	358	2	ξ	ξ	X
ejpam-6053	358	3	abcξγ(ξ	abcξγ(ξ	PROPN
ejpam-6053	358	4	)	)	PUNCT
ejpam-6053	358	5	∫	∫	PROPN
ejpam-6053	358	6	t	t	PROPN
ejpam-6053	358	7	t1	t1	NOUN
ejpam-6053	358	8	(	(	PUNCT
ejpam-6053	358	9	t−	t−	PROPN
ejpam-6053	358	10	ℓ)ξ−1f(ℓ,x	ℓ)ξ−1f(ℓ,x	PROPN
ejpam-6053	358	11	(	(	PUNCT
ejpam-6053	358	12	ℓ))d(ℓ	ℓ))d(ℓ	PROPN
ejpam-6053	358	13	)	)	PUNCT
ejpam-6053	358	14	,	,	PUNCT
ejpam-6053	358	15	t	t	PROPN
ejpam-6053	358	16	∈	∈	PROPN
ejpam-6053	358	17	j2	j2	PROPN
ejpam-6053	358	18	.	.	PUNCT
ejpam-6053	359	1	(	(	PUNCT
ejpam-6053	359	2	29	29	NUM
ejpam-6053	359	3	)	)	PUNCT
ejpam-6053	359	4	the	the	DET
ejpam-6053	359	5	hypothesis	hypothesis	NOUN
ejpam-6053	359	6	holds	hold	VERB
ejpam-6053	359	7	:	:	PUNCT
ejpam-6053	359	8	(	(	PUNCT
ejpam-6053	359	9	h1	h1	PROPN
ejpam-6053	359	10	)	)	PUNCT
ejpam-6053	359	11	for	for	ADP
ejpam-6053	359	12	x	x	SYM
ejpam-6053	359	13	,	,	PUNCT
ejpam-6053	359	14	x̄	x̄	PROPN
ejpam-6053	359	15	∈	∈	PROPN
ejpam-6053	359	16	b	b	PROPN
ejpam-6053	359	17	,	,	PUNCT
ejpam-6053	359	18	and	and	CCONJ
ejpam-6053	359	19	real	real	ADJ
ejpam-6053	359	20	value	value	NOUN
ejpam-6053	359	21	kf	kf	PROPN
ejpam-6053	359	22	>	>	X
ejpam-6053	359	23	0	0	PROPN
ejpam-6053	359	24	,	,	PUNCT
ejpam-6053	359	25	one	one	NUM
ejpam-6053	359	26	has	have	VERB
ejpam-6053	359	27	|f(t	|f(t	NOUN
ejpam-6053	359	28	,	,	PUNCT
ejpam-6053	359	29	x	x	NOUN
ejpam-6053	359	30	)	)	PUNCT
ejpam-6053	359	31	−f(t	−f(t	PROPN
ejpam-6053	359	32	,	,	PUNCT
ejpam-6053	359	33	x̄	x̄	NOUN
ejpam-6053	359	34	)	)	PUNCT
ejpam-6053	360	1	|	|	ADV
ejpam-6053	360	2	≤	≤	NUM
ejpam-6053	360	3	kf	kf	PROPN
ejpam-6053	360	4	|x	|x	NOUN
ejpam-6053	361	1	−	−	NOUN
ejpam-6053	361	2	x	x	SYM
ejpam-6053	361	3	|	|	ADV
ejpam-6053	361	4	.	.	PUNCT
ejpam-6053	362	1	theorem	theorem	NOUN
ejpam-6053	362	2	4	4	NUM
ejpam-6053	362	3	.	.	PUNCT
ejpam-6053	363	1	in	in	ADP
ejpam-6053	363	2	view	view	NOUN
ejpam-6053	363	3	of	of	ADP
ejpam-6053	363	4	(	(	PUNCT
ejpam-6053	363	5	h1	h1	PROPN
ejpam-6053	363	6	)	)	PUNCT
ejpam-6053	363	7	,	,	PUNCT
ejpam-6053	363	8	if	if	SCONJ
ejpam-6053	363	9	max	max	PROPN
ejpam-6053	363	10	{	{	PUNCT
ejpam-6053	363	11	tξ1	tξ1	NOUN
ejpam-6053	363	12	γ(ξ+1	γ(ξ+1	NUM
ejpam-6053	363	13	)	)	PUNCT
ejpam-6053	363	14	,	,	PUNCT
ejpam-6053	363	15	γ(ξ)+t	γ(ξ)+t	PROPN
ejpam-6053	363	16	ξ	ξ	X
ejpam-6053	363	17	abc(ξ)γ(ξ	abc(ξ)γ(ξ	PROPN
ejpam-6053	363	18	)	)	PUNCT
ejpam-6053	363	19	}	}	PUNCT
ejpam-6053	363	20	kf	kf	NOUN
ejpam-6053	363	21	<	<	X
ejpam-6053	363	22	1	1	NUM
ejpam-6053	363	23	,	,	PUNCT
ejpam-6053	363	24	then	then	ADV
ejpam-6053	363	25	(	(	PUNCT
ejpam-6053	363	26	28	28	NUM
ejpam-6053	363	27	)	)	PUNCT
ejpam-6053	363	28	has	have	VERB
ejpam-6053	363	29	a	a	DET
ejpam-6053	363	30	unique	unique	ADJ
ejpam-6053	363	31	solution	solution	NOUN
ejpam-6053	363	32	which	which	PRON
ejpam-6053	363	33	justifies	justify	VERB
ejpam-6053	363	34	the	the	DET
ejpam-6053	363	35	unique	unique	ADJ
ejpam-6053	363	36	solution	solution	NOUN
ejpam-6053	363	37	for	for	ADP
ejpam-6053	363	38	model	model	NOUN
ejpam-6053	363	39	(	(	PUNCT
ejpam-6053	363	40	3	3	NUM
ejpam-6053	363	41	)	)	PUNCT
ejpam-6053	363	42	.	.	PUNCT
ejpam-6053	364	1	proof	proof	NOUN
ejpam-6053	364	2	.	.	PUNCT
ejpam-6053	365	1	let	let	VERB
ejpam-6053	365	2	t	t	NOUN
ejpam-6053	365	3	:	:	PUNCT
ejpam-6053	365	4	b→	b→	PROPN
ejpam-6053	365	5	b	b	NUM
ejpam-6053	365	6	defined	define	VERB
ejpam-6053	365	7	by	by	ADP
ejpam-6053	365	8	t[x	t[x	ADJ
ejpam-6053	365	9	(	(	PUNCT
ejpam-6053	365	10	t	t	PROPN
ejpam-6053	365	11	)	)	PUNCT
ejpam-6053	365	12	]	]	PUNCT
ejpam-6053	366	1	=	=	PUNCT
ejpam-6053	367	1			X
ejpam-6053	367	2	x0	x0	PROPN
ejpam-6053	367	3	+	+	CCONJ
ejpam-6053	367	4	1	1	NUM
ejpam-6053	367	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	367	6	)	)	PUNCT
ejpam-6053	367	7	∫	∫	PROPN
ejpam-6053	367	8	t	t	PROPN
ejpam-6053	367	9	0	0	NUM
ejpam-6053	368	1	f(ℓ,x	f(ℓ,x	NOUN
ejpam-6053	368	2	(	(	PUNCT
ejpam-6053	368	3	ℓ))(t−	ℓ))(t−	ADP
ejpam-6053	368	4	ℓ)ξ−1dℓ	ℓ)ξ−1dℓ	PROPN
ejpam-6053	368	5	,	,	PUNCT
ejpam-6053	368	6	t	t	PROPN
ejpam-6053	368	7	∈	∈	PROPN
ejpam-6053	368	8	j1	j1	PROPN
ejpam-6053	368	9	,	,	PUNCT
ejpam-6053	368	10	x	x	X
ejpam-6053	368	11	(	(	PUNCT
ejpam-6053	368	12	t1	t1	NOUN
ejpam-6053	368	13	)	)	PUNCT
ejpam-6053	369	1	+	+	CCONJ
ejpam-6053	369	2	1−	1−	NUM
ejpam-6053	369	3	ξ	ξ	X
ejpam-6053	369	4	abc(ξ	abc(ξ	NOUN
ejpam-6053	369	5	)	)	PUNCT
ejpam-6053	369	6	f(t	f(t	NOUN
ejpam-6053	369	7	,	,	PUNCT
ejpam-6053	369	8	x	x	X
ejpam-6053	369	9	(	(	PUNCT
ejpam-6053	369	10	t	t	PROPN
ejpam-6053	369	11	)	)	PUNCT
ejpam-6053	369	12	)	)	PUNCT
ejpam-6053	370	1	+	+	CCONJ
ejpam-6053	370	2	ξ	ξ	X
ejpam-6053	370	3	abc(ξ)γ(ξ	abc(ξ)γ(ξ	PROPN
ejpam-6053	370	4	)	)	PUNCT
ejpam-6053	370	5	∫	∫	PROPN
ejpam-6053	370	6	t	t	PROPN
ejpam-6053	370	7	t1	t1	PROPN
ejpam-6053	370	8	(	(	PUNCT
ejpam-6053	370	9	t−	t−	PROPN
ejpam-6053	370	10	ℓ)ξ−1f(ℓ,x	ℓ)ξ−1f(ℓ,x	PROPN
ejpam-6053	370	11	(	(	PUNCT
ejpam-6053	370	12	ℓ))d(ℓ	ℓ))d(ℓ	PROPN
ejpam-6053	370	13	)	)	PUNCT
ejpam-6053	370	14	,	,	PUNCT
ejpam-6053	370	15	t	t	PROPN
ejpam-6053	370	16	∈	∈	PROPN
ejpam-6053	370	17	j2	j2	PROPN
ejpam-6053	370	18	.	.	PUNCT
ejpam-6053	371	1	(	(	PUNCT
ejpam-6053	371	2	30	30	X
ejpam-6053	371	3	)	)	PUNCT
ejpam-6053	371	4	eiman	eiman	NOUN
ejpam-6053	371	5	et	et	PROPN
ejpam-6053	371	6	al	al	PROPN
ejpam-6053	371	7	.	.	PUNCT
ejpam-6053	371	8	/	/	SYM
ejpam-6053	371	9	eur	eur	PROPN
ejpam-6053	371	10	.	.	PUNCT
ejpam-6053	372	1	j.	j.	PROPN
ejpam-6053	372	2	pure	pure	PROPN
ejpam-6053	372	3	appl	appl	PROPN
ejpam-6053	372	4	.	.	PROPN
ejpam-6053	372	5	math	math	PROPN
ejpam-6053	372	6	,	,	PUNCT
ejpam-6053	372	7	18	18	NUM
ejpam-6053	372	8	(	(	PUNCT
ejpam-6053	372	9	2	2	NUM
ejpam-6053	372	10	)	)	PUNCT
ejpam-6053	372	11	(	(	PUNCT
ejpam-6053	372	12	2025	2025	NUM
ejpam-6053	372	13	)	)	PUNCT
ejpam-6053	372	14	,	,	PUNCT
ejpam-6053	372	15	6053	6053	NUM
ejpam-6053	372	16	14	14	NUM
ejpam-6053	372	17	of	of	ADP
ejpam-6053	372	18	26	26	NUM
ejpam-6053	372	19	for	for	ADP
ejpam-6053	372	20	t	t	PROPN
ejpam-6053	372	21	∈	∈	PROPN
ejpam-6053	372	22	j1	j1	PROPN
ejpam-6053	372	23	and	and	CCONJ
ejpam-6053	372	24	x	x	SYM
ejpam-6053	372	25	,	,	PUNCT
ejpam-6053	372	26	x̄	x̄	PROPN
ejpam-6053	372	27	∈	∈	PROPN
ejpam-6053	372	28	b	b	PROPN
ejpam-6053	372	29	,	,	PUNCT
ejpam-6053	372	30	from	from	ADP
ejpam-6053	372	31	(	(	PUNCT
ejpam-6053	372	32	31	31	NUM
ejpam-6053	372	33	)	)	PUNCT
ejpam-6053	373	1	,	,	PUNCT
ejpam-6053	373	2	one	one	PRON
ejpam-6053	373	3	has	have	VERB
ejpam-6053	373	4	∥t(x	∥t(x	PROPN
ejpam-6053	373	5	)	)	PUNCT
ejpam-6053	373	6	−	−	PROPN
ejpam-6053	374	1	t(x	t(x	PROPN
ejpam-6053	374	2	)	)	PUNCT
ejpam-6053	374	3	∥	∥	PUNCT
ejpam-6053	374	4	≤	≤	NUM
ejpam-6053	374	5	max	max	PROPN
ejpam-6053	374	6	t∈j1	t∈j1	NOUN
ejpam-6053	374	7	1	1	NUM
ejpam-6053	374	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	374	9	)	)	PUNCT
ejpam-6053	374	10	∫	∫	PROPN
ejpam-6053	375	1	t	t	PROPN
ejpam-6053	375	2	0	0	NUM
ejpam-6053	376	1	(	(	PUNCT
ejpam-6053	376	2	t−	t−	PROPN
ejpam-6053	376	3	ℓ)ξ−1|f(ℓ,x	ℓ)ξ−1|f(ℓ,x	PROPN
ejpam-6053	376	4	(	(	PUNCT
ejpam-6053	376	5	ℓ))−f(ℓ,x	ℓ))−f(ℓ,x	PROPN
ejpam-6053	376	6	(	(	PUNCT
ejpam-6053	376	7	ℓ))|dℓ	ℓ))|dℓ	PROPN
ejpam-6053	376	8	≤	≤	PROPN
ejpam-6053	376	9	kf	kf	PROPN
ejpam-6053	376	10	t	t	PROPN
ejpam-6053	376	11	ξ	ξ	PROPN
ejpam-6053	376	12	1	1	NUM
ejpam-6053	376	13	γ(ξ	γ(ξ	PROPN
ejpam-6053	376	14	+	+	CCONJ
ejpam-6053	376	15	1	1	X
ejpam-6053	376	16	)	)	PUNCT
ejpam-6053	376	17	∥x	∥x	PROPN
ejpam-6053	376	18	−	−	PROPN
ejpam-6053	376	19	x∥.	x∥.	NOUN
ejpam-6053	376	20	(	(	PUNCT
ejpam-6053	376	21	31	31	NUM
ejpam-6053	376	22	)	)	PUNCT
ejpam-6053	376	23	in	in	ADP
ejpam-6053	376	24	the	the	DET
ejpam-6053	376	25	same	same	ADJ
ejpam-6053	376	26	way	way	NOUN
ejpam-6053	376	27	,	,	PUNCT
ejpam-6053	376	28	if	if	SCONJ
ejpam-6053	376	29	t	t	PROPN
ejpam-6053	376	30	∈	∈	PROPN
ejpam-6053	376	31	j2	j2	PROPN
ejpam-6053	376	32	and	and	CCONJ
ejpam-6053	376	33	x	x	SYM
ejpam-6053	376	34	,	,	PUNCT
ejpam-6053	376	35	x̄	x̄	PROPN
ejpam-6053	376	36	∈	∈	PROPN
ejpam-6053	376	37	b	b	PROPN
ejpam-6053	376	38	,	,	PUNCT
ejpam-6053	376	39	from	from	ADP
ejpam-6053	376	40	(	(	PUNCT
ejpam-6053	376	41	31	31	NUM
ejpam-6053	376	42	)	)	PUNCT
ejpam-6053	376	43	,	,	PUNCT
ejpam-6053	376	44	one	one	PRON
ejpam-6053	376	45	has	have	VERB
ejpam-6053	376	46	∥t(x	∥t(x	PROPN
ejpam-6053	376	47	)	)	PUNCT
ejpam-6053	376	48	−	−	PROPN
ejpam-6053	377	1	t(x	t(x	PROPN
ejpam-6053	377	2	)	)	PUNCT
ejpam-6053	377	3	∥	∥	PUNCT
ejpam-6053	377	4	≤	≤	NOUN
ejpam-6053	377	5	1−	1−	NUM
ejpam-6053	377	6	ξ	ξ	X
ejpam-6053	377	7	abc(ξ	abc(ξ	PROPN
ejpam-6053	377	8	)	)	PUNCT
ejpam-6053	377	9	max	max	PROPN
ejpam-6053	377	10	t∈j2	t∈j2	PROPN
ejpam-6053	377	11	∣∣∣∣f(t	∣∣∣∣f(t	PROPN
ejpam-6053	377	12	,	,	PUNCT
ejpam-6053	377	13	x	x	X
ejpam-6053	377	14	(	(	PUNCT
ejpam-6053	377	15	t))−f(t	t))−f(t	ADP
ejpam-6053	377	16	,	,	PUNCT
ejpam-6053	377	17	x	x	X
ejpam-6053	377	18	(	(	PUNCT
ejpam-6053	377	19	t	t	NOUN
ejpam-6053	377	20	)	)	PUNCT
ejpam-6053	377	21	)	)	PUNCT
ejpam-6053	377	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6053	378	1	+	+	CCONJ
ejpam-6053	378	2	max	max	PROPN
ejpam-6053	378	3	t∈j2	t∈j2	PROPN
ejpam-6053	378	4	ξ	ξ	PROPN
ejpam-6053	378	5	abc(ξ)γ(ξ	abc(ξ)γ(ξ	PROPN
ejpam-6053	378	6	)	)	PUNCT
ejpam-6053	378	7	∫	∫	PROPN
ejpam-6053	378	8	t	t	PROPN
ejpam-6053	378	9	t1	t1	PROPN
ejpam-6053	378	10	(	(	PUNCT
ejpam-6053	378	11	t−	t−	PROPN
ejpam-6053	378	12	ℓ)ξ−1|f(ℓ,x	ℓ)ξ−1|f(ℓ,x	PROPN
ejpam-6053	378	13	(	(	PUNCT
ejpam-6053	378	14	ℓ))−f(ℓ,x	ℓ))−f(ℓ,x	PROPN
ejpam-6053	378	15	(	(	PUNCT
ejpam-6053	378	16	ℓ))|dℓ	ℓ))|dℓ	PROPN
ejpam-6053	378	17	≤	≤	NUM
ejpam-6053	378	18	kf	kf	PROPN
ejpam-6053	378	19	abc(ξ	abc(ξ	PROPN
ejpam-6053	378	20	)	)	PUNCT
ejpam-6053	378	21	∥x	∥x	PROPN
ejpam-6053	378	22	−	−	PROPN
ejpam-6053	378	23	x∥+	x∥+	PROPN
ejpam-6053	379	1	kft	kft	PROPN
ejpam-6053	379	2	ξ	ξ	PROPN
ejpam-6053	379	3	γ(ξ)abc(ξ	γ(ξ)abc(ξ	NOUN
ejpam-6053	379	4	)	)	PUNCT
ejpam-6053	379	5	∥x	∥x	PROPN
ejpam-6053	379	6	−	−	PROPN
ejpam-6053	379	7	x∥	x∥	PUNCT
ejpam-6053	380	1	=	=	PUNCT
ejpam-6053	380	2	[	[	PUNCT
ejpam-6053	380	3	kf	kf	NOUN
ejpam-6053	380	4	abc(ξ	abc(ξ	PROPN
ejpam-6053	380	5	)	)	PUNCT
ejpam-6053	380	6	+	+	NUM
ejpam-6053	380	7	kft	kft	NOUN
ejpam-6053	380	8	ξ	ξ	X
ejpam-6053	380	9	γ(ξ)abc(ξ	γ(ξ)abc(ξ	NOUN
ejpam-6053	380	10	)	)	PUNCT
ejpam-6053	380	11	]	]	PUNCT
ejpam-6053	381	1	∥x	∥x	PROPN
ejpam-6053	381	2	−	−	PROPN
ejpam-6053	381	3	x∥.	x∥.	PROPN
ejpam-6053	381	4	(	(	PUNCT
ejpam-6053	381	5	32	32	NUM
ejpam-6053	381	6	)	)	PUNCT
ejpam-6053	381	7	from	from	ADP
ejpam-6053	381	8	(	(	PUNCT
ejpam-6053	381	9	31	31	NUM
ejpam-6053	381	10	)	)	PUNCT
ejpam-6053	381	11	and	and	CCONJ
ejpam-6053	381	12	(	(	PUNCT
ejpam-6053	381	13	32	32	NUM
ejpam-6053	381	14	)	)	PUNCT
ejpam-6053	381	15	,	,	PUNCT
ejpam-6053	381	16	one	one	PRON
ejpam-6053	381	17	can	can	AUX
ejpam-6053	381	18	concludes	conclude	VERB
ejpam-6053	381	19	that	that	SCONJ
ejpam-6053	381	20	t	t	PROPN
ejpam-6053	381	21	satisfies	satisfy	VERB
ejpam-6053	381	22	the	the	DET
ejpam-6053	381	23	criteria	criterion	NOUN
ejpam-6053	381	24	of	of	ADP
ejpam-6053	381	25	banach	banach	ADV
ejpam-6053	381	26	theorem	theorem	VERB
ejpam-6053	381	27	.	.	PUNCT
ejpam-6053	382	1	thus	thus	ADV
ejpam-6053	382	2	our	our	PRON
ejpam-6053	382	3	proposed	propose	VERB
ejpam-6053	382	4	model	model	NOUN
ejpam-6053	382	5	(	(	PUNCT
ejpam-6053	382	6	3	3	X
ejpam-6053	382	7	)	)	PUNCT
ejpam-6053	382	8	has	have	VERB
ejpam-6053	382	9	a	a	DET
ejpam-6053	382	10	unique	unique	ADJ
ejpam-6053	382	11	solution	solution	NOUN
ejpam-6053	382	12	.	.	PUNCT
ejpam-6053	383	1	4	4	X
ejpam-6053	383	2	.	.	X
ejpam-6053	383	3	simulations	simulation	NOUN
ejpam-6053	383	4	methodology	methodology	NOUN
ejpam-6053	383	5	here	here	ADV
ejpam-6053	383	6	,	,	PUNCT
ejpam-6053	383	7	we	we	PRON
ejpam-6053	383	8	develop	develop	VERB
ejpam-6053	383	9	a	a	DET
ejpam-6053	383	10	numerical	numerical	ADJ
ejpam-6053	383	11	algorithm	algorithm	NOUN
ejpam-6053	383	12	for	for	ADP
ejpam-6053	383	13	the	the	DET
ejpam-6053	383	14	piecewise	piecewise	NOUN
ejpam-6053	383	15	model	model	NOUN
ejpam-6053	383	16	(	(	PUNCT
ejpam-6053	383	17	3	3	NUM
ejpam-6053	383	18	)	)	PUNCT
ejpam-6053	383	19	that	that	PRON
ejpam-6053	383	20	has	have	AUX
ejpam-6053	383	21	been	be	AUX
ejpam-6053	383	22	suggested	suggest	VERB
ejpam-6053	383	23	.	.	PUNCT
ejpam-6053	384	1	for	for	ADP
ejpam-6053	384	2	our	our	PRON
ejpam-6053	384	3	model	model	NOUN
ejpam-6053	384	4	,	,	PUNCT
ejpam-6053	384	5	we	we	PRON
ejpam-6053	384	6	expand	expand	VERB
ejpam-6053	384	7	the	the	DET
ejpam-6053	384	8	numerical	numerical	ADJ
ejpam-6053	384	9	scheme	scheme	NOUN
ejpam-6053	384	10	of	of	ADP
ejpam-6053	384	11	[	[	X
ejpam-6053	384	12	28	28	NUM
ejpam-6053	384	13	]	]	PUNCT
ejpam-6053	384	14	.	.	PUNCT
ejpam-6053	385	1	in	in	ADP
ejpam-6053	385	2	this	this	DET
ejpam-6053	385	3	case	case	NOUN
ejpam-6053	385	4	,	,	PUNCT
ejpam-6053	385	5	the	the	DET
ejpam-6053	385	6	domain	domain	NOUN
ejpam-6053	385	7	j	j	PROPN
ejpam-6053	385	8	is	be	AUX
ejpam-6053	385	9	split	split	VERB
ejpam-6053	385	10	into	into	ADP
ejpam-6053	385	11	two	two	NUM
ejpam-6053	385	12	sub	sub	NOUN
ejpam-6053	385	13	-	-	NOUN
ejpam-6053	385	14	intervals	interval	NOUN
ejpam-6053	385	15	.	.	PUNCT
ejpam-6053	386	1	first	first	ADV
ejpam-6053	386	2	from	from	ADP
ejpam-6053	386	3	the	the	DET
ejpam-6053	386	4	solution	solution	NOUN
ejpam-6053	386	5	(	(	PUNCT
ejpam-6053	386	6	29	29	NUM
ejpam-6053	386	7	)	)	PUNCT
ejpam-6053	386	8	of	of	ADP
ejpam-6053	386	9	(	(	PUNCT
ejpam-6053	386	10	28	28	NUM
ejpam-6053	386	11	)	)	PUNCT
ejpam-6053	386	12	,	,	PUNCT
ejpam-6053	386	13	using	use	VERB
ejpam-6053	386	14	t	t	PROPN
ejpam-6053	386	15	=	=	SYM
ejpam-6053	386	16	tm+1	tm+1	PROPN
ejpam-6053	386	17	,	,	PUNCT
ejpam-6053	386	18	we	we	PRON
ejpam-6053	386	19	get	get	VERB
ejpam-6053	386	20	x	x	X
ejpam-6053	386	21	(	(	PUNCT
ejpam-6053	386	22	tm+1	tm+1	NOUN
ejpam-6053	386	23	)	)	PUNCT
ejpam-6053	386	24	=	=	PUNCT
ejpam-6053	387	1			X
ejpam-6053	387	2	x0	x0	PROPN
ejpam-6053	387	3	+	+	CCONJ
ejpam-6053	387	4	1	1	NUM
ejpam-6053	387	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	387	6	)	)	PUNCT
ejpam-6053	387	7	∫	∫	PROPN
ejpam-6053	387	8	tm	tm	PROPN
ejpam-6053	387	9	0	0	NUM
ejpam-6053	387	10	f(ℓ,x	f(ℓ,x	PROPN
ejpam-6053	387	11	(	(	PUNCT
ejpam-6053	387	12	ℓ))(tm	ℓ))(tm	NOUN
ejpam-6053	387	13	−	−	PROPN
ejpam-6053	387	14	ℓ)ξ−1dℓ	ℓ)ξ−1dℓ	PROPN
ejpam-6053	387	15	,	,	PUNCT
ejpam-6053	387	16	t	t	PROPN
ejpam-6053	387	17	∈	∈	PROPN
ejpam-6053	387	18	j1	j1	PROPN
ejpam-6053	387	19	,	,	PUNCT
ejpam-6053	387	20	x	x	X
ejpam-6053	387	21	(	(	PUNCT
ejpam-6053	387	22	t1	t1	NOUN
ejpam-6053	387	23	)	)	PUNCT
ejpam-6053	387	24	+	+	CCONJ
ejpam-6053	387	25	1−	1−	NUM
ejpam-6053	387	26	ξ	ξ	X
ejpam-6053	387	27	abc(ξ	abc(ξ	NOUN
ejpam-6053	387	28	)	)	PUNCT
ejpam-6053	387	29	f(tm	f(tm	NOUN
ejpam-6053	387	30	,	,	PUNCT
ejpam-6053	387	31	x	x	PROPN
ejpam-6053	387	32	(	(	PUNCT
ejpam-6053	387	33	tm	tm	NOUN
ejpam-6053	387	34	)	)	PUNCT
ejpam-6053	387	35	)	)	PUNCT
ejpam-6053	388	1	+	+	CCONJ
ejpam-6053	388	2	ξ	ξ	X
ejpam-6053	388	3	abcξγ(ξ	abcξγ(ξ	PROPN
ejpam-6053	388	4	)	)	PUNCT
ejpam-6053	388	5	∫	∫	PROPN
ejpam-6053	389	1	tm+1	tm+1	PROPN
ejpam-6053	389	2	t1	t1	NOUN
ejpam-6053	389	3	(	(	PUNCT
ejpam-6053	389	4	tm+1	tm+1	PROPN
ejpam-6053	389	5	−	−	PROPN
ejpam-6053	389	6	ℓ)ξ−1f(ℓ,x	ℓ)ξ−1f(ℓ,x	NOUN
ejpam-6053	389	7	(	(	PUNCT
ejpam-6053	389	8	ℓ))d(ℓ	ℓ))d(ℓ	PROPN
ejpam-6053	389	9	)	)	PUNCT
ejpam-6053	389	10	,	,	PUNCT
ejpam-6053	389	11	t	t	PROPN
ejpam-6053	389	12	∈	∈	PROPN
ejpam-6053	389	13	j2	j2	PROPN
ejpam-6053	389	14	.	.	PUNCT
ejpam-6053	390	1	(	(	PUNCT
ejpam-6053	390	2	33	33	NUM
ejpam-6053	390	3	)	)	PUNCT
ejpam-6053	390	4	if	if	SCONJ
ejpam-6053	390	5	we	we	PRON
ejpam-6053	390	6	use	use	VERB
ejpam-6053	390	7	for	for	ADP
ejpam-6053	390	8	simplicity	simplicity	NOUN
ejpam-6053	390	9	℧	℧	NOUN
ejpam-6053	390	10	1	1	NUM
ejpam-6053	390	11	=	=	SYM
ejpam-6053	390	12	(1	(1	NUM
ejpam-6053	391	1	+	+	NOUN
ejpam-6053	391	2	m−	m−	PROPN
ejpam-6053	391	3	q)ξ	q)ξ	NOUN
ejpam-6053	391	4	(	(	PUNCT
ejpam-6053	391	5	2(m−	2(m−	NUM
ejpam-6053	391	6	q)2	q)2	PROPN
ejpam-6053	391	7	+	+	CCONJ
ejpam-6053	391	8	(	(	PUNCT
ejpam-6053	391	9	3ξ	3ξ	PROPN
ejpam-6053	391	10	+	+	SYM
ejpam-6053	391	11	10)(m−	10)(m−	NUM
ejpam-6053	391	12	q	q	NOUN
ejpam-6053	391	13	)	)	PUNCT
ejpam-6053	391	14	+	+	NUM
ejpam-6053	391	15	2ξ2	2ξ2	NUM
ejpam-6053	391	16	+	+	CCONJ
ejpam-6053	391	17	9ξ	9ξ	NOUN
ejpam-6053	391	18	+	+	CCONJ
ejpam-6053	391	19	12	12	NUM
ejpam-6053	391	20	)	)	PUNCT
ejpam-6053	391	21	−	−	PROPN
ejpam-6053	392	1	(	(	PUNCT
ejpam-6053	392	2	m−	m−	PROPN
ejpam-6053	392	3	q	q	PROPN
ejpam-6053	392	4	)	)	PUNCT
ejpam-6053	392	5	(	(	PUNCT
ejpam-6053	392	6	2(m−	2(m−	NUM
ejpam-6053	392	7	q)2	q)2	PROPN
ejpam-6053	392	8	+	+	CCONJ
ejpam-6053	392	9	(	(	PUNCT
ejpam-6053	392	10	5ξ	5ξ	NUM
ejpam-6053	392	11	+	+	CCONJ
ejpam-6053	392	12	10)(−q	10)(−q	NUM
ejpam-6053	392	13	+	+	NOUN
ejpam-6053	392	14	m	m	X
ejpam-6053	392	15	)	)	PUNCT
ejpam-6053	393	1	+	+	CCONJ
ejpam-6053	394	1	6ξ2	6ξ2	NUM
ejpam-6053	394	2	+	+	NUM
ejpam-6053	394	3	18ξ	18ξ	NOUN
ejpam-6053	394	4	+	+	CCONJ
ejpam-6053	394	5	12	12	NUM
ejpam-6053	394	6	)	)	PUNCT
ejpam-6053	394	7			NOUN
ejpam-6053	394	8	,	,	PUNCT
ejpam-6053	394	9	℧	℧	PROPN
ejpam-6053	394	10	2	2	NUM
ejpam-6053	394	11	=	=	SYM
ejpam-6053	394	12	(1	(1	NUM
ejpam-6053	395	1	+	+	NOUN
ejpam-6053	395	2	m−	m−	PROPN
ejpam-6053	395	3	q)ξ	q)ξ	NOUN
ejpam-6053	395	4	(	(	PUNCT
ejpam-6053	395	5	3	3	NUM
ejpam-6053	395	6	+	+	NUM
ejpam-6053	395	7	2ξ	2ξ	NUM
ejpam-6053	395	8	−	−	NOUN
ejpam-6053	395	9	q	q	X
ejpam-6053	396	1	+	+	NOUN
ejpam-6053	396	2	m	m	NOUN
ejpam-6053	396	3	)	)	PUNCT
ejpam-6053	396	4	−	−	PROPN
ejpam-6053	397	1	(	(	PUNCT
ejpam-6053	397	2	m−	m−	PROPN
ejpam-6053	397	3	q	q	PROPN
ejpam-6053	397	4	)	)	PUNCT
ejpam-6053	397	5	(	(	PUNCT
ejpam-6053	397	6	m−	m−	PROPN
ejpam-6053	397	7	q	q	PROPN
ejpam-6053	398	1	+	+	NUM
ejpam-6053	398	2	3ξ	3ξ	NOUN
ejpam-6053	398	3	+	+	SYM
ejpam-6053	398	4	3	3	NUM
ejpam-6053	398	5	)	)	PUNCT
ejpam-6053	398	6			NOUN
ejpam-6053	398	7	,	,	PUNCT
ejpam-6053	398	8	℧	℧	PROPN
ejpam-6053	398	9	3	3	NUM
ejpam-6053	398	10	=	=	SYM
ejpam-6053	398	11	[	[	PUNCT
ejpam-6053	398	12	(	(	PUNCT
ejpam-6053	398	13	1	1	NUM
ejpam-6053	398	14	+	+	NOUN
ejpam-6053	398	15	m−	m−	PROPN
ejpam-6053	398	16	q)ξ	q)ξ	ADJ
ejpam-6053	398	17	−	−	PROPN
ejpam-6053	399	1	(	(	PUNCT
ejpam-6053	399	2	m−	m−	PROPN
ejpam-6053	399	3	q)ξ	q)ξ	ADJ
ejpam-6053	399	4	]	]	PUNCT
ejpam-6053	399	5	eiman	eiman	NOUN
ejpam-6053	399	6	et	et	PROPN
ejpam-6053	399	7	al	al	PROPN
ejpam-6053	399	8	.	.	PUNCT
ejpam-6053	399	9	/	/	SYM
ejpam-6053	399	10	eur	eur	PROPN
ejpam-6053	399	11	.	.	PUNCT
ejpam-6053	400	1	j.	j.	PROPN
ejpam-6053	400	2	pure	pure	PROPN
ejpam-6053	400	3	appl	appl	PROPN
ejpam-6053	400	4	.	.	PROPN
ejpam-6053	400	5	math	math	PROPN
ejpam-6053	400	6	,	,	PUNCT
ejpam-6053	400	7	18	18	NUM
ejpam-6053	400	8	(	(	PUNCT
ejpam-6053	400	9	2	2	NUM
ejpam-6053	400	10	)	)	PUNCT
ejpam-6053	400	11	(	(	PUNCT
ejpam-6053	400	12	2025	2025	NUM
ejpam-6053	400	13	)	)	PUNCT
ejpam-6053	400	14	,	,	PUNCT
ejpam-6053	400	15	6053	6053	NUM
ejpam-6053	400	16	15	15	NUM
ejpam-6053	400	17	of	of	ADP
ejpam-6053	400	18	26	26	NUM
ejpam-6053	400	19	and	and	CCONJ
ejpam-6053	400	20	step	step	NOUN
ejpam-6053	400	21	size	size	NOUN
ejpam-6053	400	22	h	h	NOUN
ejpam-6053	400	23	=	=	SYM
ejpam-6053	400	24	∆t	∆t	PROPN
ejpam-6053	400	25	,	,	PUNCT
ejpam-6053	400	26	using	use	VERB
ejpam-6053	400	27	interpolation	interpolation	NOUN
ejpam-6053	400	28	approximation	approximation	NOUN
ejpam-6053	400	29	in	in	ADP
ejpam-6053	400	30	(	(	PUNCT
ejpam-6053	400	31	33	33	NUM
ejpam-6053	400	32	)	)	PUNCT
ejpam-6053	400	33	,	,	PUNCT
ejpam-6053	400	34	we	we	PRON
ejpam-6053	400	35	have	have	AUX
ejpam-6053	400	36	x	x	NUM
ejpam-6053	400	37	(	(	PUNCT
ejpam-6053	400	38	tm+1	tm+1	X
ejpam-6053	400	39	)	)	PUNCT
ejpam-6053	400	40	=	=	SYM
ejpam-6053	400	41			PROPN
ejpam-6053	400	42	x0	x0	PROPN
ejpam-6053	401	1	+	+	CCONJ
ejpam-6053	401	2			NUM
ejpam-6053	401	3	hξ−1	hξ−1	PROPN
ejpam-6053	401	4	γ(ξ	γ(ξ	PROPN
ejpam-6053	401	5	+	+	CCONJ
ejpam-6053	401	6	1	1	X
ejpam-6053	401	7	)	)	PUNCT
ejpam-6053	401	8	i∑	i∑	PROPN
ejpam-6053	401	9	q=2	q=2	NOUN
ejpam-6053	402	1	[	[	PUNCT
ejpam-6053	402	2	f(x	f(x	PROPN
ejpam-6053	402	3	(	(	PUNCT
ejpam-6053	402	4	tq−2	tq−2	PROPN
ejpam-6053	402	5	)	)	PUNCT
ejpam-6053	402	6	,	,	PUNCT
ejpam-6053	402	7	tq−2	tq−2	PROPN
ejpam-6053	402	8	)	)	PUNCT
ejpam-6053	402	9	]	]	PUNCT
ejpam-6053	403	1	℧	℧	PUNCT
ejpam-6053	403	2	1	1	NUM
ejpam-6053	403	3	+	+	NUM
ejpam-6053	403	4	hξ−1	hξ−1	PROPN
ejpam-6053	403	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	403	6	+	+	CCONJ
ejpam-6053	403	7	2	2	X
ejpam-6053	403	8	)	)	PUNCT
ejpam-6053	403	9	i∑	i∑	PROPN
ejpam-6053	403	10	q=2	q=2	NOUN
ejpam-6053	403	11	[	[	PUNCT
ejpam-6053	403	12	f(x	f(x	PROPN
ejpam-6053	403	13	(	(	PUNCT
ejpam-6053	403	14	tq−1	tq−1	PROPN
ejpam-6053	403	15	)	)	PUNCT
ejpam-6053	403	16	,	,	PUNCT
ejpam-6053	403	17	tq−1)−f(x	tq−1)−f(x	PROPN
ejpam-6053	403	18	(	(	PUNCT
ejpam-6053	403	19	tq−2	tq−2	PROPN
ejpam-6053	403	20	)	)	PUNCT
ejpam-6053	403	21	,	,	PUNCT
ejpam-6053	403	22	tq−2	tq−2	PROPN
ejpam-6053	403	23	)	)	PUNCT
ejpam-6053	403	24	]	]	PUNCT
ejpam-6053	404	1	℧	℧	PROPN
ejpam-6053	404	2	2	2	NUM
ejpam-6053	404	3	+	+	NUM
ejpam-6053	404	4	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	404	5	2γ(ξ	2γ(ξ	NUM
ejpam-6053	405	1	+	+	CCONJ
ejpam-6053	405	2	3	3	X
ejpam-6053	405	3	)	)	PUNCT
ejpam-6053	405	4	i∑	i∑	PROPN
ejpam-6053	405	5	q=2	q=2	NOUN
ejpam-6053	405	6	[	[	PUNCT
ejpam-6053	405	7	f(x	f(x	PROPN
ejpam-6053	405	8	(	(	PUNCT
ejpam-6053	405	9	tq−2	tq−2	PROPN
ejpam-6053	405	10	)	)	PUNCT
ejpam-6053	405	11	,	,	PUNCT
ejpam-6053	405	12	tq−2	tq−2	PROPN
ejpam-6053	405	13	)	)	PUNCT
ejpam-6053	405	14	]	]	PUNCT
ejpam-6053	405	15	℧	℧	PROPN
ejpam-6053	405	16	3	3	NUM
ejpam-6053	405	17	,	,	PUNCT
ejpam-6053	405	18	x	x	X
ejpam-6053	405	19	(	(	PUNCT
ejpam-6053	405	20	t1	t1	NOUN
ejpam-6053	405	21	)	)	PUNCT
ejpam-6053	406	1	+	+	CCONJ
ejpam-6053	406	2			NUM
ejpam-6053	406	3	1−	1−	NUM
ejpam-6053	406	4	ξ	ξ	X
ejpam-6053	406	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	406	6	)	)	PUNCT
ejpam-6053	406	7	f(x	f(x	PROPN
ejpam-6053	406	8	(	(	PUNCT
ejpam-6053	406	9	tm)tm	tm)tm	NOUN
ejpam-6053	406	10	)	)	PUNCT
ejpam-6053	407	1	+	+	CCONJ
ejpam-6053	407	2	ξ	ξ	X
ejpam-6053	407	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	407	4	)	)	PUNCT
ejpam-6053	407	5	hξ−1	hξ−1	PROPN
ejpam-6053	407	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	407	7	+	+	CCONJ
ejpam-6053	407	8	1	1	X
ejpam-6053	407	9	)	)	PUNCT
ejpam-6053	407	10	m∑	m∑	VERB
ejpam-6053	407	11	q	q	NOUN
ejpam-6053	407	12	=	=	NOUN
ejpam-6053	407	13	i+3	i+3	X
ejpam-6053	407	14	[	[	PUNCT
ejpam-6053	407	15	f(x	f(x	PROPN
ejpam-6053	407	16	(	(	PUNCT
ejpam-6053	407	17	tq−2	tq−2	PROPN
ejpam-6053	407	18	)	)	PUNCT
ejpam-6053	407	19	,	,	PUNCT
ejpam-6053	407	20	tq−2	tq−2	PROPN
ejpam-6053	407	21	)	)	PUNCT
ejpam-6053	407	22	]	]	PUNCT
ejpam-6053	407	23	℧	℧	PUNCT
ejpam-6053	407	24	1	1	NUM
ejpam-6053	407	25	+	+	SYM
ejpam-6053	407	26	ξ	ξ	PROPN
ejpam-6053	407	27	abc(ξ	abc(ξ	PROPN
ejpam-6053	407	28	)	)	PUNCT
ejpam-6053	407	29	hξ−1	hξ−1	PROPN
ejpam-6053	407	30	γ(ξ	γ(ξ	PROPN
ejpam-6053	407	31	+	+	CCONJ
ejpam-6053	407	32	2	2	X
ejpam-6053	407	33	)	)	PUNCT
ejpam-6053	407	34	m∑	m∑	VERB
ejpam-6053	407	35	q	q	NOUN
ejpam-6053	407	36	=	=	NOUN
ejpam-6053	407	37	i+3	i+3	X
ejpam-6053	407	38	[	[	PUNCT
ejpam-6053	407	39	f(x(tq−1	f(x(tq−1	NOUN
ejpam-6053	407	40	)	)	PUNCT
ejpam-6053	407	41	,	,	PUNCT
ejpam-6053	407	42	tq−1	tq−1	PROPN
ejpam-6053	407	43	)	)	PUNCT
ejpam-6053	407	44	+	+	NUM
ejpam-6053	407	45	f(x(tq−2	f(x(tq−2	NOUN
ejpam-6053	407	46	)	)	PUNCT
ejpam-6053	407	47	,	,	PUNCT
ejpam-6053	407	48	tq−2	tq−2	PROPN
ejpam-6053	407	49	)	)	PUNCT
ejpam-6053	407	50	]	]	PUNCT
ejpam-6053	408	1	℧	℧	PROPN
ejpam-6053	408	2	2	2	NUM
ejpam-6053	408	3	+	+	SYM
ejpam-6053	408	4	1	1	NUM
ejpam-6053	408	5	abc(ξ	abc(ξ	NOUN
ejpam-6053	408	6	)	)	PUNCT
ejpam-6053	408	7	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	408	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	408	9	+	+	CCONJ
ejpam-6053	408	10	3	3	X
ejpam-6053	408	11	)	)	PUNCT
ejpam-6053	408	12	m∑	m∑	VERB
ejpam-6053	408	13	q	q	NOUN
ejpam-6053	408	14	=	=	NOUN
ejpam-6053	408	15	i+3	i+3	PRON
ejpam-6053	408	16	[	[	PUNCT
ejpam-6053	408	17	f(x(tq	f(x(tq	NOUN
ejpam-6053	408	18	)	)	PUNCT
ejpam-6053	408	19	,	,	PUNCT
ejpam-6053	408	20	tq)−	tq)−	X
ejpam-6053	408	21	2f(x	2f(x	PROPN
ejpam-6053	408	22	(	(	PUNCT
ejpam-6053	408	23	tq−1	tq−1	PROPN
ejpam-6053	408	24	)	)	PUNCT
ejpam-6053	408	25	,	,	PUNCT
ejpam-6053	408	26	tq−1	tq−1	PROPN
ejpam-6053	408	27	)	)	PUNCT
ejpam-6053	409	1	+	+	CCONJ
ejpam-6053	409	2	f(x	f(x	PROPN
ejpam-6053	409	3	(	(	PUNCT
ejpam-6053	409	4	tq−2	tq−2	PROPN
ejpam-6053	409	5	)	)	PUNCT
ejpam-6053	409	6	,	,	PUNCT
ejpam-6053	409	7	tq−2	tq−2	PROPN
ejpam-6053	409	8	)	)	PUNCT
ejpam-6053	409	9	]	]	PUNCT
ejpam-6053	409	10	℧	℧	PROPN
ejpam-6053	409	11	3	3	NUM
ejpam-6053	409	12	.	.	PUNCT
ejpam-6053	409	13	(	(	PUNCT
ejpam-6053	409	14	34	34	NUM
ejpam-6053	409	15	)	)	PUNCT
ejpam-6053	409	16	eiman	eiman	NOUN
ejpam-6053	409	17	et	et	PROPN
ejpam-6053	409	18	al	al	PROPN
ejpam-6053	409	19	.	.	PUNCT
ejpam-6053	409	20	/	/	SYM
ejpam-6053	409	21	eur	eur	PROPN
ejpam-6053	409	22	.	.	PUNCT
ejpam-6053	410	1	j.	j.	PROPN
ejpam-6053	410	2	pure	pure	PROPN
ejpam-6053	410	3	appl	appl	PROPN
ejpam-6053	410	4	.	.	PROPN
ejpam-6053	410	5	math	math	PROPN
ejpam-6053	410	6	,	,	PUNCT
ejpam-6053	410	7	18	18	NUM
ejpam-6053	410	8	(	(	PUNCT
ejpam-6053	410	9	2	2	NUM
ejpam-6053	410	10	)	)	PUNCT
ejpam-6053	410	11	(	(	PUNCT
ejpam-6053	410	12	2025	2025	NUM
ejpam-6053	410	13	)	)	PUNCT
ejpam-6053	410	14	,	,	PUNCT
ejpam-6053	410	15	6053	6053	NUM
ejpam-6053	410	16	16	16	NUM
ejpam-6053	410	17	of	of	ADP
ejpam-6053	410	18	26	26	NUM
ejpam-6053	410	19	according	accord	VERB
ejpam-6053	410	20	to	to	ADP
ejpam-6053	410	21	the	the	DET
ejpam-6053	410	22	numerical	numerical	ADJ
ejpam-6053	410	23	formula	formula	NOUN
ejpam-6053	410	24	given	give	VERB
ejpam-6053	410	25	in	in	ADP
ejpam-6053	410	26	(	(	PUNCT
ejpam-6053	410	27	34	34	NUM
ejpam-6053	410	28	)	)	PUNCT
ejpam-6053	410	29	,	,	PUNCT
ejpam-6053	410	30	we	we	PRON
ejpam-6053	410	31	can	can	AUX
ejpam-6053	410	32	write	write	VERB
ejpam-6053	410	33	our	our	PRON
ejpam-6053	410	34	proposed	propose	VERB
ejpam-6053	410	35	model	model	NOUN
ejpam-6053	410	36	(	(	PUNCT
ejpam-6053	410	37	3	3	NUM
ejpam-6053	410	38	)	)	PUNCT
ejpam-6053	410	39	as	as	ADP
ejpam-6053	410	40	s(tm+1	s(tm+1	NOUN
ejpam-6053	410	41	)	)	PUNCT
ejpam-6053	410	42	=	=	SYM
ejpam-6053	410	43			X
ejpam-6053	410	44	s0	s0	PROPN
ejpam-6053	410	45	+	+	CCONJ
ejpam-6053	410	46			NUM
ejpam-6053	410	47	hξ−1	hξ−1	PROPN
ejpam-6053	410	48	γ(ξ	γ(ξ	PROPN
ejpam-6053	410	49	+	+	CCONJ
ejpam-6053	410	50	1	1	X
ejpam-6053	410	51	)	)	PUNCT
ejpam-6053	410	52	i∑	i∑	NOUN
ejpam-6053	410	53	q=2	q=2	NOUN
ejpam-6053	411	1	[	[	PUNCT
ejpam-6053	411	2	λξ	λξ	ADP
ejpam-6053	411	3	−	−	PROPN
ejpam-6053	411	4	(	(	PUNCT
ejpam-6053	411	5	ρξ	ρξ	PROPN
ejpam-6053	411	6	+	+	CCONJ
ejpam-6053	411	7	ϵξ1ipre(tq−2	ϵξ1ipre(tq−2	PUNCT
ejpam-6053	411	8	)	)	PUNCT
ejpam-6053	412	1	+	+	CCONJ
ejpam-6053	412	2	ϵξ2ipost(tq−2))s(tq−2	ϵξ2ipost(tq−2))s(tq−2	NUM
ejpam-6053	412	3	)	)	PUNCT
ejpam-6053	412	4	]	]	PUNCT
ejpam-6053	412	5	℧	℧	PUNCT
ejpam-6053	412	6	1	1	NUM
ejpam-6053	412	7	+	+	NUM
ejpam-6053	412	8	hξ−1	hξ−1	PROPN
ejpam-6053	412	9	γ(ξ	γ(ξ	PROPN
ejpam-6053	412	10	+	+	CCONJ
ejpam-6053	412	11	2	2	X
ejpam-6053	412	12	)	)	PUNCT
ejpam-6053	412	13	i∑	i∑	NOUN
ejpam-6053	412	14	q=2	q=2	NOUN
ejpam-6053	412	15	[	[	PUNCT
ejpam-6053	412	16	λξ	λξ	ADP
ejpam-6053	412	17	−	−	NOUN
ejpam-6053	412	18	ρξs(tq−1)−	ρξs(tq−1)−	PROPN
ejpam-6053	413	1	ϵξ1s(tq−1)ipre(tq−1)−	ϵξ1s(tq−1)ipre(tq−1)−	NUM
ejpam-6053	413	2	ϵξ2s(tq−1)ipost(tq−1	ϵξ2s(tq−1)ipost(tq−1	NUM
ejpam-6053	413	3	)	)	PUNCT
ejpam-6053	414	1	−	−	PROPN
ejpam-6053	415	1	(	(	PUNCT
ejpam-6053	415	2	λξ	λξ	ADP
ejpam-6053	415	3	−	−	PROPN
ejpam-6053	415	4	ρξs(tq−2)−	ρξs(tq−2)−	PROPN
ejpam-6053	415	5	ϵξ1s(tq−2)ipre(tq−2)−	ϵξ1s(tq−2)ipre(tq−2)−	VERB
ejpam-6053	415	6	ϵξ2s(tq−2)ipost(tq−2	ϵξ2s(tq−2)ipost(tq−2	NOUN
ejpam-6053	415	7	)	)	PUNCT
ejpam-6053	415	8	)	)	PUNCT
ejpam-6053	415	9	]	]	PUNCT
ejpam-6053	416	1	℧	℧	ADP
ejpam-6053	416	2	2	2	NUM
ejpam-6053	416	3	+	+	NUM
ejpam-6053	416	4	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	416	5	2γ(ξ	2γ(ξ	NUM
ejpam-6053	417	1	+	+	CCONJ
ejpam-6053	417	2	3	3	X
ejpam-6053	417	3	)	)	PUNCT
ejpam-6053	417	4	i∑	i∑	PROPN
ejpam-6053	418	1	q=2	q=2	NOUN
ejpam-6053	418	2	[	[	PUNCT
ejpam-6053	418	3	λξ	λξ	ADP
ejpam-6053	418	4	−	−	NUM
ejpam-6053	418	5	s(tq−2)(ρ	s(tq−2)(ρ	PROPN
ejpam-6053	419	1	ξ	ξ	PROPN
ejpam-6053	419	2	+	+	PUNCT
ejpam-6053	419	3	ϵξ1ipre(tq−2	ϵξ1ipre(tq−2	PUNCT
ejpam-6053	419	4	)	)	PUNCT
ejpam-6053	419	5	+	+	NUM
ejpam-6053	419	6	ϵξ2ipost(tq−2	ϵξ2ipost(tq−2	NOUN
ejpam-6053	419	7	)	)	PUNCT
ejpam-6053	419	8	)	)	PUNCT
ejpam-6053	419	9	]	]	PUNCT
ejpam-6053	420	1	℧	℧	PROPN
ejpam-6053	420	2	3	3	NUM
ejpam-6053	420	3	,	,	PUNCT
ejpam-6053	420	4	s(t1	s(t1	NOUN
ejpam-6053	420	5	)	)	PUNCT
ejpam-6053	421	1	+	+	CCONJ
ejpam-6053	421	2			PROPN
ejpam-6053	421	3	1−	1−	NUM
ejpam-6053	421	4	ξ	ξ	SYM
ejpam-6053	421	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	421	6	)	)	PUNCT
ejpam-6053	421	7	[	[	PUNCT
ejpam-6053	421	8	λξ	λξ	ADP
ejpam-6053	421	9	−	−	PROPN
ejpam-6053	421	10	ρξs(tm)−	ρξs(tm)−	PROPN
ejpam-6053	421	11	ϵξ1s(tm)ipre(tm)−	ϵξ1s(tm)ipre(tm)−	PROPN
ejpam-6053	421	12	ϵξ2s(tm)ipost(tm	ϵξ2s(tm)ipost(tm	NUM
ejpam-6053	421	13	)	)	PUNCT
ejpam-6053	421	14	]	]	PUNCT
ejpam-6053	422	1	+	+	CCONJ
ejpam-6053	422	2	ξ	ξ	X
ejpam-6053	422	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	422	4	)	)	PUNCT
ejpam-6053	422	5	hξ−1	hξ−1	PROPN
ejpam-6053	422	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	422	7	+	+	CCONJ
ejpam-6053	422	8	1	1	X
ejpam-6053	422	9	)	)	PUNCT
ejpam-6053	422	10	m∑	m∑	VERB
ejpam-6053	422	11	q	q	NOUN
ejpam-6053	422	12	=	=	NOUN
ejpam-6053	422	13	i+3	i+3	X
ejpam-6053	422	14	[	[	PUNCT
ejpam-6053	422	15	λξ	λξ	ADP
ejpam-6053	422	16	−	−	PROPN
ejpam-6053	422	17	ρξs(tq−2	ρξs(tq−2	PROPN
ejpam-6053	422	18	)	)	PUNCT
ejpam-6053	422	19	−	−	PROPN
ejpam-6053	422	20	ϵξ1s(tq−2)ipre(tq−2)−	ϵξ1s(tq−2)ipre(tq−2)−	NOUN
ejpam-6053	422	21	ϵξ2s(tq−2)ipost(tq−2	ϵξ2s(tq−2)ipost(tq−2	NOUN
ejpam-6053	422	22	)	)	PUNCT
ejpam-6053	422	23	]	]	PUNCT
ejpam-6053	423	1	℧	℧	PUNCT
ejpam-6053	423	2	1	1	NUM
ejpam-6053	423	3	+	+	SYM
ejpam-6053	423	4	ξ	ξ	PROPN
ejpam-6053	423	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	423	6	)	)	PUNCT
ejpam-6053	423	7	hξ−1	hξ−1	PROPN
ejpam-6053	423	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	423	9	+	+	CCONJ
ejpam-6053	423	10	2	2	X
ejpam-6053	423	11	)	)	PUNCT
ejpam-6053	423	12	m∑	m∑	VERB
ejpam-6053	423	13	q	q	NOUN
ejpam-6053	423	14	=	=	NOUN
ejpam-6053	423	15	i+3	i+3	X
ejpam-6053	423	16	[	[	PUNCT
ejpam-6053	423	17	λξ	λξ	ADP
ejpam-6053	423	18	−	−	PROPN
ejpam-6053	423	19	ρξs(tq−2)−	ρξs(tq−2)−	NUM
ejpam-6053	423	20	ϵξ1s(tq−1)ipre(tq−1	ϵξ1s(tq−1)ipre(tq−1	NOUN
ejpam-6053	423	21	)	)	PUNCT
ejpam-6053	423	22	−	−	PROPN
ejpam-6053	424	1	ϵξ2s(tq−1)ipost(tq−1	ϵξ2s(tq−1)ipost(tq−1	ADJ
ejpam-6053	424	2	)	)	PUNCT
ejpam-6053	425	1	+	+	CCONJ
ejpam-6053	425	2	λξ	λξ	ADP
ejpam-6053	425	3	−	−	NOUN
ejpam-6053	425	4	ρξs(tq−2)−	ρξs(tq−2)−	NOUN
ejpam-6053	425	5	ϵξ1s(tq−2)ipre(tq−2)−	ϵξ1s(tq−2)ipre(tq−2)−	NOUN
ejpam-6053	425	6	ϵξ2s(tq−2)ipost(tq−2	ϵξ2s(tq−2)ipost(tq−2	NOUN
ejpam-6053	425	7	)	)	PUNCT
ejpam-6053	425	8	]	]	PUNCT
ejpam-6053	426	1	℧	℧	PROPN
ejpam-6053	426	2	2	2	NUM
ejpam-6053	426	3	+	+	SYM
ejpam-6053	426	4	1	1	NUM
ejpam-6053	426	5	abc(ξ	abc(ξ	NOUN
ejpam-6053	426	6	)	)	PUNCT
ejpam-6053	426	7	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	426	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	426	9	+	+	CCONJ
ejpam-6053	426	10	3	3	X
ejpam-6053	426	11	)	)	PUNCT
ejpam-6053	426	12	m∑	m∑	VERB
ejpam-6053	426	13	q	q	NOUN
ejpam-6053	426	14	=	=	NOUN
ejpam-6053	426	15	i+3	i+3	X
ejpam-6053	426	16	[	[	PUNCT
ejpam-6053	426	17	λξ	λξ	ADP
ejpam-6053	426	18	−	−	PROPN
ejpam-6053	426	19	ρξs(tq)−	ρξs(tq)−	PROPN
ejpam-6053	426	20	ϵξ1s(tq)ipre(tq)−	ϵξ1s(tq)ipre(tq)−	PUNCT
ejpam-6053	427	1	ϵξ2s(tq)ipost(tq	ϵξ2s(tq)ipost(tq	NUM
ejpam-6053	427	2	)	)	PUNCT
ejpam-6053	428	1	−	−	PROPN
ejpam-6053	428	2	2	2	NUM
ejpam-6053	428	3	[	[	PUNCT
ejpam-6053	428	4	λξ	λξ	ADP
ejpam-6053	428	5	−	−	NOUN
ejpam-6053	428	6	ρξs(tq−1)−	ρξs(tq−1)−	PROPN
ejpam-6053	429	1	ϵξ1s(tq−1)ipre(tq−1)−	ϵξ1s(tq−1)ipre(tq−1)−	NUM
ejpam-6053	429	2	ϵξ2s(tq−1)ipost(tq−1	ϵξ2s(tq−1)ipost(tq−1	NUM
ejpam-6053	429	3	)	)	PUNCT
ejpam-6053	429	4	]	]	PUNCT
ejpam-6053	430	1	+	+	CCONJ
ejpam-6053	430	2	λξ	λξ	ADP
ejpam-6053	430	3	−	−	NOUN
ejpam-6053	430	4	ρξs(tq−2)−	ρξs(tq−2)−	NOUN
ejpam-6053	430	5	ϵξ1s(tq−2)ipre(tq−2)−	ϵξ1s(tq−2)ipre(tq−2)−	NOUN
ejpam-6053	430	6	ϵξ2s(tq−2)ipost(tq−2	ϵξ2s(tq−2)ipost(tq−2	NOUN
ejpam-6053	430	7	)	)	PUNCT
ejpam-6053	430	8	]	]	PUNCT
ejpam-6053	431	1	℧	℧	PROPN
ejpam-6053	431	2	3	3	NUM
ejpam-6053	431	3	.	.	PUNCT
ejpam-6053	431	4	(	(	PUNCT
ejpam-6053	431	5	35	35	NUM
ejpam-6053	431	6	)	)	PUNCT
ejpam-6053	431	7	eiman	eiman	NOUN
ejpam-6053	431	8	et	et	PROPN
ejpam-6053	431	9	al	al	PROPN
ejpam-6053	431	10	.	.	PUNCT
ejpam-6053	431	11	/	/	SYM
ejpam-6053	431	12	eur	eur	PROPN
ejpam-6053	431	13	.	.	PUNCT
ejpam-6053	432	1	j.	j.	PROPN
ejpam-6053	432	2	pure	pure	PROPN
ejpam-6053	432	3	appl	appl	PROPN
ejpam-6053	432	4	.	.	PROPN
ejpam-6053	432	5	math	math	PROPN
ejpam-6053	432	6	,	,	PUNCT
ejpam-6053	432	7	18	18	NUM
ejpam-6053	432	8	(	(	PUNCT
ejpam-6053	432	9	2	2	NUM
ejpam-6053	432	10	)	)	PUNCT
ejpam-6053	432	11	(	(	PUNCT
ejpam-6053	432	12	2025	2025	NUM
ejpam-6053	432	13	)	)	PUNCT
ejpam-6053	432	14	,	,	PUNCT
ejpam-6053	432	15	6053	6053	NUM
ejpam-6053	432	16	17	17	NUM
ejpam-6053	432	17	of	of	ADP
ejpam-6053	432	18	26	26	NUM
ejpam-6053	432	19	le(tm+1	le(tm+1	ADJ
ejpam-6053	432	20	)	)	PUNCT
ejpam-6053	432	21	=	=	SYM
ejpam-6053	433	1			NUM
ejpam-6053	433	2	le0	le0	NOUN
ejpam-6053	433	3	+	+	CCONJ
ejpam-6053	433	4			NUM
ejpam-6053	433	5	hξ−1	hξ−1	PROPN
ejpam-6053	433	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	433	7	+	+	CCONJ
ejpam-6053	433	8	1	1	X
ejpam-6053	433	9	)	)	PUNCT
ejpam-6053	433	10	i∑	i∑	PROPN
ejpam-6053	433	11	q=2	q=2	NOUN
ejpam-6053	433	12	[	[	PUNCT
ejpam-6053	433	13	s(tq−2)(ϵ	s(tq−2)(ϵ	PROPN
ejpam-6053	433	14	ξ	ξ	NOUN
ejpam-6053	433	15	1ipre(tq−2	1ipre(tq−2	NUM
ejpam-6053	433	16	)	)	PUNCT
ejpam-6053	434	1	+	+	CCONJ
ejpam-6053	434	2	ϵξ2ipost(tq−2))−	ϵξ2ipost(tq−2))−	NUM
ejpam-6053	434	3	(	(	PUNCT
ejpam-6053	434	4	εξ	εξ	NOUN
ejpam-6053	434	5	+	+	X
ejpam-6053	434	6	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	434	7	)	)	PUNCT
ejpam-6053	434	8	]	]	PUNCT
ejpam-6053	435	1	℧	℧	PROPN
ejpam-6053	435	2	1	1	NUM
ejpam-6053	435	3	+	+	NUM
ejpam-6053	435	4	hξ−1	hξ−1	PROPN
ejpam-6053	435	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	435	6	+	+	CCONJ
ejpam-6053	435	7	2	2	X
ejpam-6053	435	8	)	)	PUNCT
ejpam-6053	435	9	i∑	i∑	PROPN
ejpam-6053	435	10	q=2	q=2	NOUN
ejpam-6053	435	11	[	[	PUNCT
ejpam-6053	435	12	ϵξ1s(tq−1)ipre(tq−1	ϵξ1s(tq−1)ipre(tq−1	NOUN
ejpam-6053	435	13	)	)	PUNCT
ejpam-6053	436	1	+	+	CCONJ
ejpam-6053	436	2	ϵξ2s(tq−1)ipost(tq−1)−	ϵξ2s(tq−1)ipost(tq−1)−	VERB
ejpam-6053	436	3	(	(	PUNCT
ejpam-6053	436	4	εξ	εξ	NOUN
ejpam-6053	436	5	+	+	NUM
ejpam-6053	436	6	ρξ)le(tq−1	ρξ)le(tq−1	NOUN
ejpam-6053	436	7	)	)	PUNCT
ejpam-6053	436	8	−	−	PROPN
ejpam-6053	436	9	(	(	PUNCT
ejpam-6053	436	10	ϵξ1s(tq−2)ipre(tq−2	ϵξ1s(tq−2)ipre(tq−2	NOUN
ejpam-6053	436	11	)	)	PUNCT
ejpam-6053	437	1	+	+	CCONJ
ejpam-6053	437	2	ϵξ2s(tq−2)ipost(tq−2)−	ϵξ2s(tq−2)ipost(tq−2)−	X
ejpam-6053	437	3	(	(	PUNCT
ejpam-6053	437	4	εξ	εξ	NOUN
ejpam-6053	437	5	+	+	NOUN
ejpam-6053	437	6	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	437	7	)	)	PUNCT
ejpam-6053	437	8	)	)	PUNCT
ejpam-6053	437	9	]	]	PUNCT
ejpam-6053	438	1	℧	℧	ADP
ejpam-6053	438	2	2	2	NUM
ejpam-6053	438	3	+	+	NUM
ejpam-6053	438	4	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	438	5	2γ(ξ	2γ(ξ	NUM
ejpam-6053	439	1	+	+	CCONJ
ejpam-6053	439	2	3	3	X
ejpam-6053	439	3	)	)	PUNCT
ejpam-6053	439	4	i∑	i∑	PROPN
ejpam-6053	439	5	q=2	q=2	NOUN
ejpam-6053	439	6	[	[	PUNCT
ejpam-6053	439	7	(	(	PUNCT
ejpam-6053	439	8	ϵξ1ipre(tq−2	ϵξ1ipre(tq−2	INTJ
ejpam-6053	439	9	)	)	PUNCT
ejpam-6053	440	1	+	+	CCONJ
ejpam-6053	440	2	ϵξ2ipost(tq−2))s(tq−2)−	ϵξ2ipost(tq−2))s(tq−2)−	ADJ
ejpam-6053	440	3	(	(	PUNCT
ejpam-6053	440	4	εξ	εξ	NOUN
ejpam-6053	440	5	+	+	NOUN
ejpam-6053	440	6	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	440	7	)	)	PUNCT
ejpam-6053	440	8	]	]	PUNCT
ejpam-6053	441	1	℧	℧	PROPN
ejpam-6053	441	2	3	3	NUM
ejpam-6053	441	3	,	,	PUNCT
ejpam-6053	441	4	le(t1	le(t1	X
ejpam-6053	441	5	)	)	PUNCT
ejpam-6053	441	6	+	+	CCONJ
ejpam-6053	441	7			PROPN
ejpam-6053	441	8	1−	1−	NUM
ejpam-6053	441	9	ξ	ξ	SYM
ejpam-6053	441	10	abc(ξ	abc(ξ	NOUN
ejpam-6053	441	11	)	)	PUNCT
ejpam-6053	441	12	[	[	PUNCT
ejpam-6053	441	13	(	(	PUNCT
ejpam-6053	441	14	ϵξ1ipre(tm	ϵξ1ipre(tm	NOUN
ejpam-6053	441	15	)	)	PUNCT
ejpam-6053	442	1	+	+	CCONJ
ejpam-6053	442	2	ϵξ2ipost(tm))s(tm)−	ϵξ2ipost(tm))s(tm)−	X
ejpam-6053	442	3	(	(	PUNCT
ejpam-6053	442	4	εξ	εξ	NOUN
ejpam-6053	442	5	+	+	NOUN
ejpam-6053	442	6	ρξ)le(tm	ρξ)le(tm	NUM
ejpam-6053	442	7	)	)	PUNCT
ejpam-6053	442	8	]	]	PUNCT
ejpam-6053	443	1	+	+	CCONJ
ejpam-6053	443	2	ξ	ξ	X
ejpam-6053	443	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	443	4	)	)	PUNCT
ejpam-6053	443	5	hξ−1	hξ−1	PROPN
ejpam-6053	443	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	443	7	+	+	CCONJ
ejpam-6053	443	8	1	1	X
ejpam-6053	443	9	)	)	PUNCT
ejpam-6053	443	10	m∑	m∑	VERB
ejpam-6053	443	11	q	q	NOUN
ejpam-6053	443	12	=	=	X
ejpam-6053	443	13	i+3	i+3	X
ejpam-6053	443	14	[	[	X
ejpam-6053	443	15	(	(	PUNCT
ejpam-6053	443	16	ϵξ1ipre(tq−2	ϵξ1ipre(tq−2	INTJ
ejpam-6053	443	17	)	)	PUNCT
ejpam-6053	443	18	+	+	NUM
ejpam-6053	443	19	ϵξ2ipost(tq−2	ϵξ2ipost(tq−2	X
ejpam-6053	443	20	)	)	PUNCT
ejpam-6053	443	21	)	)	PUNCT
ejpam-6053	444	1	s(tq−2)−	s(tq−2)−	VERB
ejpam-6053	444	2	(	(	PUNCT
ejpam-6053	444	3	εξ	εξ	NOUN
ejpam-6053	444	4	+	+	NOUN
ejpam-6053	444	5	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	444	6	)	)	PUNCT
ejpam-6053	444	7	]	]	PUNCT
ejpam-6053	445	1	℧	℧	PUNCT
ejpam-6053	445	2	1	1	NUM
ejpam-6053	445	3	+	+	SYM
ejpam-6053	445	4	ξ	ξ	PROPN
ejpam-6053	445	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	445	6	)	)	PUNCT
ejpam-6053	445	7	hξ−1	hξ−1	PROPN
ejpam-6053	445	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	445	9	+	+	CCONJ
ejpam-6053	445	10	2	2	X
ejpam-6053	445	11	)	)	PUNCT
ejpam-6053	445	12	m∑	m∑	VERB
ejpam-6053	445	13	q	q	NOUN
ejpam-6053	445	14	=	=	NOUN
ejpam-6053	445	15	i+3	i+3	X
ejpam-6053	445	16	[	[	PUNCT
ejpam-6053	445	17	ϵξ1s(tq−1)ipre(tq−1	ϵξ1s(tq−1)ipre(tq−1	X
ejpam-6053	445	18	)	)	PUNCT
ejpam-6053	446	1	+	+	CCONJ
ejpam-6053	446	2	ϵξ2s(tq−1)ipost(tq−1	ϵξ2s(tq−1)ipost(tq−1	X
ejpam-6053	446	3	)	)	PUNCT
ejpam-6053	446	4	−	−	PROPN
ejpam-6053	446	5	(	(	PUNCT
ejpam-6053	446	6	εξ	εξ	NOUN
ejpam-6053	446	7	+	+	NUM
ejpam-6053	446	8	ρξ)le(tq−1	ρξ)le(tq−1	NOUN
ejpam-6053	446	9	)	)	PUNCT
ejpam-6053	447	1	+	+	NUM
ejpam-6053	447	2	ϵξ1s(tq−2)ipre(tq−2	ϵξ1s(tq−2)ipre(tq−2	X
ejpam-6053	447	3	)	)	PUNCT
ejpam-6053	448	1	+	+	CCONJ
ejpam-6053	448	2	ϵξ2s(tq−2)ipost(tq−2)−	ϵξ2s(tq−2)ipost(tq−2)−	X
ejpam-6053	448	3	(	(	PUNCT
ejpam-6053	448	4	εξ	εξ	NOUN
ejpam-6053	448	5	+	+	NOUN
ejpam-6053	448	6	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	448	7	)	)	PUNCT
ejpam-6053	448	8	]	]	PUNCT
ejpam-6053	449	1	℧	℧	PROPN
ejpam-6053	449	2	2	2	NUM
ejpam-6053	449	3	+	+	SYM
ejpam-6053	449	4	1	1	NUM
ejpam-6053	449	5	abc(ξ	abc(ξ	NOUN
ejpam-6053	449	6	)	)	PUNCT
ejpam-6053	449	7	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	449	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	449	9	+	+	CCONJ
ejpam-6053	449	10	3	3	X
ejpam-6053	449	11	)	)	PUNCT
ejpam-6053	449	12	m∑	m∑	VERB
ejpam-6053	449	13	q	q	NOUN
ejpam-6053	449	14	=	=	NOUN
ejpam-6053	449	15	i+3	i+3	X
ejpam-6053	449	16	[	[	PUNCT
ejpam-6053	449	17	ϵξ1s(tq)ipre(tq	ϵξ1s(tq)ipre(tq	NUM
ejpam-6053	449	18	)	)	PUNCT
ejpam-6053	450	1	+	+	NUM
ejpam-6053	450	2	ϵξ2s(tq)ipost(tq)−	ϵξ2s(tq)ipost(tq)−	NUM
ejpam-6053	451	1	(	(	PUNCT
ejpam-6053	451	2	εξ	εξ	NOUN
ejpam-6053	451	3	+	+	CCONJ
ejpam-6053	451	4	ρξ)le(tq	ρξ)le(tq	NOUN
ejpam-6053	451	5	)	)	PUNCT
ejpam-6053	451	6	−	−	PROPN
ejpam-6053	451	7	2	2	NUM
ejpam-6053	451	8	(	(	PUNCT
ejpam-6053	451	9	ϵξ1s(tq−1)ipre(tq−1	ϵξ1s(tq−1)ipre(tq−1	X
ejpam-6053	451	10	)	)	PUNCT
ejpam-6053	452	1	+	+	CCONJ
ejpam-6053	452	2	ϵξ2s(tq−1)ipost(tq−1)−	ϵξ2s(tq−1)ipost(tq−1)−	VERB
ejpam-6053	452	3	(	(	PUNCT
ejpam-6053	452	4	εξ	εξ	NOUN
ejpam-6053	452	5	+	+	X
ejpam-6053	452	6	ρξ)le(tq−1	ρξ)le(tq−1	NOUN
ejpam-6053	452	7	)	)	PUNCT
ejpam-6053	452	8	)	)	PUNCT
ejpam-6053	453	1	+	+	CCONJ
ejpam-6053	453	2	ϵξ1s(tq−2)ipre(tq−2	ϵξ1s(tq−2)ipre(tq−2	X
ejpam-6053	453	3	)	)	PUNCT
ejpam-6053	454	1	+	+	CCONJ
ejpam-6053	454	2	ϵξ2s(tq−2)ipost(tq−2)−	ϵξ2s(tq−2)ipost(tq−2)−	X
ejpam-6053	454	3	(	(	PUNCT
ejpam-6053	454	4	εξ	εξ	NOUN
ejpam-6053	454	5	+	+	NOUN
ejpam-6053	454	6	ρξ)le(tq−2	ρξ)le(tq−2	NOUN
ejpam-6053	454	7	)	)	PUNCT
ejpam-6053	454	8	]	]	PUNCT
ejpam-6053	455	1	℧	℧	PROPN
ejpam-6053	455	2	3	3	NUM
ejpam-6053	455	3	.	.	PUNCT
ejpam-6053	455	4	(	(	PUNCT
ejpam-6053	455	5	36	36	NUM
ejpam-6053	455	6	)	)	PUNCT
ejpam-6053	455	7	eiman	eiman	NOUN
ejpam-6053	455	8	et	et	PROPN
ejpam-6053	455	9	al	al	PROPN
ejpam-6053	455	10	.	.	PUNCT
ejpam-6053	455	11	/	/	SYM
ejpam-6053	455	12	eur	eur	PROPN
ejpam-6053	455	13	.	.	PUNCT
ejpam-6053	456	1	j.	j.	PROPN
ejpam-6053	456	2	pure	pure	PROPN
ejpam-6053	456	3	appl	appl	PROPN
ejpam-6053	456	4	.	.	PROPN
ejpam-6053	456	5	math	math	PROPN
ejpam-6053	456	6	,	,	PUNCT
ejpam-6053	456	7	18	18	NUM
ejpam-6053	456	8	(	(	PUNCT
ejpam-6053	456	9	2	2	NUM
ejpam-6053	456	10	)	)	PUNCT
ejpam-6053	456	11	(	(	PUNCT
ejpam-6053	456	12	2025	2025	NUM
ejpam-6053	456	13	)	)	PUNCT
ejpam-6053	456	14	,	,	PUNCT
ejpam-6053	456	15	6053	6053	NUM
ejpam-6053	456	16	18	18	NUM
ejpam-6053	456	17	of	of	ADP
ejpam-6053	456	18	26	26	NUM
ejpam-6053	456	19	ipre(tm+1	ipre(tm+1	NOUN
ejpam-6053	456	20	)	)	PUNCT
ejpam-6053	456	21	=	=	SYM
ejpam-6053	457	1			X
ejpam-6053	457	2	ipre0	ipre0	NOUN
ejpam-6053	458	1	+	+	CCONJ
ejpam-6053	458	2			NUM
ejpam-6053	458	3	hξ−1	hξ−1	PROPN
ejpam-6053	458	4	γ(ξ	γ(ξ	PROPN
ejpam-6053	458	5	+	+	CCONJ
ejpam-6053	458	6	1	1	X
ejpam-6053	458	7	)	)	PUNCT
ejpam-6053	458	8	i∑	i∑	PROPN
ejpam-6053	458	9	q=2	q=2	NOUN
ejpam-6053	458	10	[	[	PUNCT
ejpam-6053	458	11	εξle(tq−2)−	εξle(tq−2)−	X
ejpam-6053	458	12	(	(	PUNCT
ejpam-6053	458	13	ρξ	ρξ	ADJ
ejpam-6053	458	14	+	+	CCONJ
ejpam-6053	458	15	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	458	16	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	458	17	−	−	PROPN
ejpam-6053	458	18	θ	θ	NOUN
ejpam-6053	458	19	)	)	PUNCT
ejpam-6053	458	20	]	]	PUNCT
ejpam-6053	458	21	℧	℧	PROPN
ejpam-6053	458	22	1	1	NUM
ejpam-6053	458	23	+	+	NUM
ejpam-6053	458	24	hξ−1	hξ−1	PROPN
ejpam-6053	458	25	γ(ξ	γ(ξ	PROPN
ejpam-6053	458	26	+	+	CCONJ
ejpam-6053	458	27	2	2	X
ejpam-6053	458	28	)	)	PUNCT
ejpam-6053	458	29	i∑	i∑	PROPN
ejpam-6053	458	30	q=2	q=2	NOUN
ejpam-6053	458	31	[	[	PUNCT
ejpam-6053	458	32	εξle(tq−1)−	εξle(tq−1)−	ADJ
ejpam-6053	458	33	(	(	PUNCT
ejpam-6053	458	34	ρξ	ρξ	ADJ
ejpam-6053	458	35	+	+	CCONJ
ejpam-6053	458	36	κξ1)ipre(tq−1)−	κξ1)ipre(tq−1)−	ADJ
ejpam-6053	458	37	αξipre(tq−1	αξipre(tq−1	NUM
ejpam-6053	458	38	)	)	PUNCT
ejpam-6053	458	39	−	−	PROPN
ejpam-6053	458	40	(	(	PUNCT
ejpam-6053	458	41	εξle(tq−2)−	εξle(tq−2)−	X
ejpam-6053	458	42	(	(	PUNCT
ejpam-6053	458	43	ρξ	ρξ	ADJ
ejpam-6053	458	44	+	+	VERB
ejpam-6053	458	45	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	458	46	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	458	47	)	)	PUNCT
ejpam-6053	458	48	)	)	PUNCT
ejpam-6053	458	49	]	]	PUNCT
ejpam-6053	459	1	℧	℧	ADP
ejpam-6053	459	2	2	2	NUM
ejpam-6053	459	3	+	+	NUM
ejpam-6053	459	4	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	459	5	2γ(ξ	2γ(ξ	NUM
ejpam-6053	460	1	+	+	CCONJ
ejpam-6053	460	2	3	3	X
ejpam-6053	460	3	)	)	PUNCT
ejpam-6053	460	4	i∑	i∑	PROPN
ejpam-6053	460	5	q=2	q=2	NOUN
ejpam-6053	460	6	[	[	PUNCT
ejpam-6053	460	7	εξle(tq−2)−	εξle(tq−2)−	X
ejpam-6053	460	8	(	(	PUNCT
ejpam-6053	460	9	ρξ	ρξ	ADJ
ejpam-6053	460	10	+	+	VERB
ejpam-6053	460	11	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	460	12	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	460	13	)	)	PUNCT
ejpam-6053	460	14	]	]	PUNCT
ejpam-6053	461	1	℧	℧	PROPN
ejpam-6053	461	2	3	3	NUM
ejpam-6053	461	3	,	,	PUNCT
ejpam-6053	461	4	ipre(t1	ipre(t1	VERB
ejpam-6053	461	5	)	)	PUNCT
ejpam-6053	461	6	+	+	CCONJ
ejpam-6053	461	7			PROPN
ejpam-6053	461	8	1−	1−	NUM
ejpam-6053	461	9	ξ	ξ	X
ejpam-6053	461	10	abc(ξ	abc(ξ	PROPN
ejpam-6053	461	11	)	)	PUNCT
ejpam-6053	461	12	[	[	PUNCT
ejpam-6053	461	13	εξle(tm)−	εξle(tm)−	NOUN
ejpam-6053	461	14	(	(	PUNCT
ejpam-6053	461	15	ρξ	ρξ	ADJ
ejpam-6053	461	16	+	+	CCONJ
ejpam-6053	461	17	κξ1)ipre(tm)−	κξ1)ipre(tm)−	PROPN
ejpam-6053	461	18	αξipre(tm	αξipre(tm	NOUN
ejpam-6053	461	19	)	)	PUNCT
ejpam-6053	461	20	]	]	PUNCT
ejpam-6053	462	1	+	+	CCONJ
ejpam-6053	462	2	ξ	ξ	X
ejpam-6053	462	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	462	4	)	)	PUNCT
ejpam-6053	462	5	hξ−1	hξ−1	PROPN
ejpam-6053	462	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	462	7	+	+	CCONJ
ejpam-6053	462	8	1	1	X
ejpam-6053	462	9	)	)	PUNCT
ejpam-6053	462	10	×	×	NOUN
ejpam-6053	462	11	m∑	m∑	CCONJ
ejpam-6053	462	12	q	q	NOUN
ejpam-6053	462	13	=	=	NOUN
ejpam-6053	462	14	i+3	i+3	PRON
ejpam-6053	462	15	[	[	PUNCT
ejpam-6053	462	16	εξle(tq−2)−	εξle(tq−2)−	X
ejpam-6053	462	17	(	(	PUNCT
ejpam-6053	462	18	ρξ	ρξ	ADJ
ejpam-6053	462	19	+	+	VERB
ejpam-6053	462	20	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	462	21	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	462	22	)	)	PUNCT
ejpam-6053	462	23	]	]	PUNCT
ejpam-6053	463	1	℧	℧	PUNCT
ejpam-6053	463	2	1	1	NUM
ejpam-6053	463	3	+	+	SYM
ejpam-6053	463	4	ξ	ξ	PROPN
ejpam-6053	463	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	463	6	)	)	PUNCT
ejpam-6053	463	7	hξ−1	hξ−1	PROPN
ejpam-6053	463	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	463	9	+	+	CCONJ
ejpam-6053	463	10	2	2	X
ejpam-6053	463	11	)	)	PUNCT
ejpam-6053	463	12	m∑	m∑	VERB
ejpam-6053	463	13	q	q	NOUN
ejpam-6053	463	14	=	=	NOUN
ejpam-6053	463	15	i+3	i+3	PRON
ejpam-6053	463	16	[	[	PUNCT
ejpam-6053	463	17	εξle(tq−1)−	εξle(tq−1)−	VERB
ejpam-6053	463	18	(	(	PUNCT
ejpam-6053	463	19	ρξ	ρξ	ADJ
ejpam-6053	463	20	+	+	CCONJ
ejpam-6053	463	21	κξ1)ipre(tq−1)−	κξ1)ipre(tq−1)−	ADJ
ejpam-6053	463	22	αξipre(tq−1	αξipre(tq−1	NUM
ejpam-6053	463	23	)	)	PUNCT
ejpam-6053	463	24	+	+	CCONJ
ejpam-6053	463	25	εξle(tq−2)−	εξle(tq−2)−	ADV
ejpam-6053	463	26	(	(	PUNCT
ejpam-6053	463	27	ρξ	ρξ	ADJ
ejpam-6053	463	28	+	+	VERB
ejpam-6053	463	29	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	463	30	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	463	31	)	)	PUNCT
ejpam-6053	463	32	]	]	PUNCT
ejpam-6053	464	1	℧	℧	PROPN
ejpam-6053	464	2	2	2	NUM
ejpam-6053	464	3	+	+	SYM
ejpam-6053	464	4	1	1	NUM
ejpam-6053	464	5	abc(ξ	abc(ξ	NOUN
ejpam-6053	464	6	)	)	PUNCT
ejpam-6053	464	7	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	464	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	464	9	+	+	CCONJ
ejpam-6053	464	10	3	3	X
ejpam-6053	464	11	)	)	PUNCT
ejpam-6053	464	12	m∑	m∑	VERB
ejpam-6053	464	13	q	q	NOUN
ejpam-6053	464	14	=	=	NOUN
ejpam-6053	464	15	i+3	i+3	PRON
ejpam-6053	464	16	[	[	PUNCT
ejpam-6053	464	17	εξle(tq)−	εξle(tq)−	NOUN
ejpam-6053	464	18	(	(	PUNCT
ejpam-6053	464	19	ρξ	ρξ	ADJ
ejpam-6053	464	20	+	+	CCONJ
ejpam-6053	464	21	κξ1)ipre(tq)−	κξ1)ipre(tq)−	NUM
ejpam-6053	464	22	αξipre(tq	αξipre(tq	NUM
ejpam-6053	464	23	)	)	PUNCT
ejpam-6053	464	24	−	−	PROPN
ejpam-6053	464	25	2	2	NUM
ejpam-6053	464	26	[	[	PUNCT
ejpam-6053	464	27	εξle(tq−1)−	εξle(tq−1)−	VERB
ejpam-6053	464	28	(	(	PUNCT
ejpam-6053	464	29	ρξ	ρξ	ADJ
ejpam-6053	464	30	+	+	CCONJ
ejpam-6053	464	31	κξ1)ipre(tq−1)−	κξ1)ipre(tq−1)−	ADJ
ejpam-6053	464	32	αξipre(tq−1	αξipre(tq−1	NUM
ejpam-6053	464	33	)	)	PUNCT
ejpam-6053	464	34	]	]	PUNCT
ejpam-6053	465	1	+	+	CCONJ
ejpam-6053	465	2	εξle(tq−2)−	εξle(tq−2)−	NUM
ejpam-6053	465	3	(	(	PUNCT
ejpam-6053	465	4	ρξ	ρξ	ADJ
ejpam-6053	465	5	+	+	VERB
ejpam-6053	465	6	κξ1)ipre(tq−2)−	κξ1)ipre(tq−2)−	ADJ
ejpam-6053	465	7	αξipre(tq−2	αξipre(tq−2	NUM
ejpam-6053	465	8	)	)	PUNCT
ejpam-6053	465	9	]	]	PUNCT
ejpam-6053	465	10	℧	℧	PROPN
ejpam-6053	465	11	3	3	NUM
ejpam-6053	465	12	.	.	PUNCT
ejpam-6053	465	13	(	(	PUNCT
ejpam-6053	465	14	37	37	NUM
ejpam-6053	465	15	)	)	PUNCT
ejpam-6053	465	16	eiman	eiman	NOUN
ejpam-6053	465	17	et	et	PROPN
ejpam-6053	465	18	al	al	PROPN
ejpam-6053	465	19	.	.	PUNCT
ejpam-6053	465	20	/	/	SYM
ejpam-6053	465	21	eur	eur	PROPN
ejpam-6053	465	22	.	.	PUNCT
ejpam-6053	466	1	j.	j.	PROPN
ejpam-6053	466	2	pure	pure	PROPN
ejpam-6053	466	3	appl	appl	PROPN
ejpam-6053	466	4	.	.	PROPN
ejpam-6053	466	5	math	math	PROPN
ejpam-6053	466	6	,	,	PUNCT
ejpam-6053	466	7	18	18	NUM
ejpam-6053	466	8	(	(	PUNCT
ejpam-6053	466	9	2	2	NUM
ejpam-6053	466	10	)	)	PUNCT
ejpam-6053	466	11	(	(	PUNCT
ejpam-6053	466	12	2025	2025	NUM
ejpam-6053	466	13	)	)	PUNCT
ejpam-6053	466	14	,	,	PUNCT
ejpam-6053	466	15	6053	6053	NUM
ejpam-6053	466	16	19	19	NUM
ejpam-6053	466	17	of	of	ADP
ejpam-6053	466	18	26	26	NUM
ejpam-6053	466	19	ipost(tm+1	ipost(tm+1	NOUN
ejpam-6053	466	20	)	)	PUNCT
ejpam-6053	466	21	=	=	PUNCT
ejpam-6053	466	22			X
ejpam-6053	466	23	ipost0	ipost0	NOUN
ejpam-6053	467	1	+	+	CCONJ
ejpam-6053	467	2			PROPN
ejpam-6053	467	3	hξ−1	hξ−1	PROPN
ejpam-6053	467	4	γ(ξ	γ(ξ	PROPN
ejpam-6053	467	5	+	+	CCONJ
ejpam-6053	467	6	1	1	X
ejpam-6053	467	7	)	)	PUNCT
ejpam-6053	467	8	i∑	i∑	PROPN
ejpam-6053	467	9	q=2	q=2	NOUN
ejpam-6053	467	10	[	[	PUNCT
ejpam-6053	467	11	αξipre(tq−2)−	αξipre(tq−2)−	NUM
ejpam-6053	467	12	(	(	PUNCT
ejpam-6053	467	13	ρξ	ρξ	X
ejpam-6053	467	14	+	+	NUM
ejpam-6053	467	15	κξ2)ipost(tq−2	κξ2)ipost(tq−2	NOUN
ejpam-6053	467	16	)	)	PUNCT
ejpam-6053	467	17	]	]	PUNCT
ejpam-6053	467	18	℧	℧	PROPN
ejpam-6053	467	19	1	1	NUM
ejpam-6053	467	20	+	+	NUM
ejpam-6053	467	21	hξ−1	hξ−1	PROPN
ejpam-6053	467	22	γ(ξ	γ(ξ	PROPN
ejpam-6053	467	23	+	+	CCONJ
ejpam-6053	467	24	2	2	X
ejpam-6053	467	25	)	)	PUNCT
ejpam-6053	467	26	i∑	i∑	PROPN
ejpam-6053	467	27	q=2	q=2	NOUN
ejpam-6053	467	28	[	[	PUNCT
ejpam-6053	467	29	f(x	f(x	PROPN
ejpam-6053	467	30	(	(	PUNCT
ejpam-6053	467	31	tq−1	tq−1	PROPN
ejpam-6053	467	32	)	)	PUNCT
ejpam-6053	467	33	,	,	PUNCT
ejpam-6053	467	34	tq−1)−f(x	tq−1)−f(x	PROPN
ejpam-6053	467	35	(	(	PUNCT
ejpam-6053	467	36	tq−2	tq−2	PROPN
ejpam-6053	467	37	)	)	PUNCT
ejpam-6053	467	38	,	,	PUNCT
ejpam-6053	467	39	tq−2	tq−2	PROPN
ejpam-6053	467	40	)	)	PUNCT
ejpam-6053	467	41	]	]	PUNCT
ejpam-6053	467	42	℧	℧	PROPN
ejpam-6053	467	43	2	2	NUM
ejpam-6053	467	44	+	+	NUM
ejpam-6053	467	45	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	467	46	2γ(ξ	2γ(ξ	NUM
ejpam-6053	467	47	+	+	CCONJ
ejpam-6053	467	48	3	3	X
ejpam-6053	467	49	)	)	PUNCT
ejpam-6053	467	50	i∑	i∑	PROPN
ejpam-6053	467	51	q=2	q=2	NOUN
ejpam-6053	467	52	[	[	PUNCT
ejpam-6053	467	53	f(x	f(x	PROPN
ejpam-6053	467	54	(	(	PUNCT
ejpam-6053	467	55	tq	tq	NOUN
ejpam-6053	467	56	)	)	PUNCT
ejpam-6053	467	57	,	,	PUNCT
ejpam-6053	467	58	tq−2	tq−2	PROPN
ejpam-6053	467	59	)	)	PUNCT
ejpam-6053	467	60	]	]	PUNCT
ejpam-6053	467	61	℧	℧	PROPN
ejpam-6053	467	62	3	3	NUM
ejpam-6053	467	63	,	,	PUNCT
ejpam-6053	467	64	ipost(t1	ipost(t1	NOUN
ejpam-6053	467	65	)	)	PUNCT
ejpam-6053	467	66	+	+	CCONJ
ejpam-6053	467	67			PROPN
ejpam-6053	467	68	1−	1−	NUM
ejpam-6053	467	69	ξ	ξ	X
ejpam-6053	467	70	abc(ξ	abc(ξ	PROPN
ejpam-6053	467	71	)	)	PUNCT
ejpam-6053	467	72	[	[	PUNCT
ejpam-6053	467	73	αξipre(tm)−	αξipre(tm)−	NOUN
ejpam-6053	467	74	(	(	PUNCT
ejpam-6053	467	75	ρξ	ρξ	ADJ
ejpam-6053	467	76	+	+	NUM
ejpam-6053	467	77	κξ2)ipost(tm	κξ2)ipost(tm	NOUN
ejpam-6053	467	78	)	)	PUNCT
ejpam-6053	467	79	]	]	PUNCT
ejpam-6053	468	1	+	+	CCONJ
ejpam-6053	468	2	ξ	ξ	X
ejpam-6053	468	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	468	4	)	)	PUNCT
ejpam-6053	468	5	hξ−1	hξ−1	PROPN
ejpam-6053	468	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	468	7	+	+	CCONJ
ejpam-6053	468	8	1	1	X
ejpam-6053	468	9	)	)	PUNCT
ejpam-6053	468	10	m∑	m∑	VERB
ejpam-6053	468	11	q	q	NOUN
ejpam-6053	468	12	=	=	NOUN
ejpam-6053	468	13	i+3	i+3	PRON
ejpam-6053	468	14	[	[	PUNCT
ejpam-6053	468	15	αξipre(tq−2)−	αξipre(tq−2)−	NUM
ejpam-6053	468	16	(	(	PUNCT
ejpam-6053	468	17	ρξ	ρξ	X
ejpam-6053	468	18	+	+	NUM
ejpam-6053	468	19	κξ2)ipost(tq−2	κξ2)ipost(tq−2	NOUN
ejpam-6053	468	20	)	)	PUNCT
ejpam-6053	468	21	]	]	PUNCT
ejpam-6053	468	22	℧	℧	PUNCT
ejpam-6053	468	23	1	1	NUM
ejpam-6053	468	24	+	+	SYM
ejpam-6053	468	25	ξ	ξ	PROPN
ejpam-6053	468	26	abc(ξ	abc(ξ	PROPN
ejpam-6053	468	27	)	)	PUNCT
ejpam-6053	468	28	hξ−1	hξ−1	PROPN
ejpam-6053	468	29	γ(ξ	γ(ξ	PROPN
ejpam-6053	468	30	+	+	CCONJ
ejpam-6053	468	31	2	2	X
ejpam-6053	468	32	)	)	PUNCT
ejpam-6053	468	33	m∑	m∑	VERB
ejpam-6053	468	34	q	q	NOUN
ejpam-6053	468	35	=	=	NOUN
ejpam-6053	468	36	i+3	i+3	X
ejpam-6053	468	37	[	[	PUNCT
ejpam-6053	468	38	αξipre(tq−1)−	αξipre(tq−1)−	NUM
ejpam-6053	468	39	(	(	PUNCT
ejpam-6053	468	40	ρξ	ρξ	X
ejpam-6053	468	41	+	+	CCONJ
ejpam-6053	468	42	κξ2)ipost(tq−1	κξ2)ipost(tq−1	NOUN
ejpam-6053	468	43	)	)	PUNCT
ejpam-6053	469	1	+	+	CCONJ
ejpam-6053	469	2	αξipre(tq−2)−	αξipre(tq−2)−	NUM
ejpam-6053	469	3	(	(	PUNCT
ejpam-6053	469	4	ρξ	ρξ	X
ejpam-6053	469	5	+	+	NUM
ejpam-6053	469	6	κξ2)ipost(tq−2	κξ2)ipost(tq−2	NOUN
ejpam-6053	469	7	)	)	PUNCT
ejpam-6053	469	8	]	]	PUNCT
ejpam-6053	470	1	℧	℧	PROPN
ejpam-6053	470	2	2	2	NUM
ejpam-6053	470	3	+	+	SYM
ejpam-6053	470	4	1	1	NUM
ejpam-6053	470	5	abc(ξ	abc(ξ	NOUN
ejpam-6053	470	6	)	)	PUNCT
ejpam-6053	470	7	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	470	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	470	9	+	+	CCONJ
ejpam-6053	470	10	3	3	X
ejpam-6053	470	11	)	)	PUNCT
ejpam-6053	470	12	m∑	m∑	VERB
ejpam-6053	470	13	q	q	NOUN
ejpam-6053	470	14	=	=	NOUN
ejpam-6053	470	15	i+3	i+3	X
ejpam-6053	470	16	[	[	PUNCT
ejpam-6053	470	17	αξipre(tq)−	αξipre(tq)−	PROPN
ejpam-6053	470	18	(	(	PUNCT
ejpam-6053	470	19	ρξ	ρξ	ADJ
ejpam-6053	470	20	+	+	NUM
ejpam-6053	470	21	κξ2)ipost(tq	κξ2)ipost(tq	NOUN
ejpam-6053	470	22	)	)	PUNCT
ejpam-6053	470	23	−	−	NOUN
ejpam-6053	470	24	2	2	NUM
ejpam-6053	470	25	[	[	PUNCT
ejpam-6053	470	26	αξipre(tq−1)−	αξipre(tq−1)−	NOUN
ejpam-6053	470	27	(	(	PUNCT
ejpam-6053	470	28	ρξ	ρξ	X
ejpam-6053	470	29	+	+	CCONJ
ejpam-6053	470	30	κξ2)ipost(tq−1	κξ2)ipost(tq−1	NOUN
ejpam-6053	470	31	)	)	PUNCT
ejpam-6053	470	32	]	]	PUNCT
ejpam-6053	471	1	+	+	CCONJ
ejpam-6053	471	2	αξipre(tq−2)−	αξipre(tq−2)−	NUM
ejpam-6053	471	3	(	(	PUNCT
ejpam-6053	471	4	ρξ	ρξ	X
ejpam-6053	471	5	+	+	NUM
ejpam-6053	471	6	κξ2)ipost(tq−2	κξ2)ipost(tq−2	NOUN
ejpam-6053	471	7	)	)	PUNCT
ejpam-6053	471	8	]	]	PUNCT
ejpam-6053	472	1	℧	℧	PROPN
ejpam-6053	472	2	3	3	NUM
ejpam-6053	472	3	.	.	PUNCT
ejpam-6053	472	4	(	(	PUNCT
ejpam-6053	472	5	38	38	NUM
ejpam-6053	472	6	)	)	PUNCT
ejpam-6053	472	7	eiman	eiman	NOUN
ejpam-6053	472	8	et	et	PROPN
ejpam-6053	472	9	al	al	PROPN
ejpam-6053	472	10	.	.	PUNCT
ejpam-6053	472	11	/	/	SYM
ejpam-6053	472	12	eur	eur	PROPN
ejpam-6053	472	13	.	.	PUNCT
ejpam-6053	473	1	j.	j.	PROPN
ejpam-6053	473	2	pure	pure	PROPN
ejpam-6053	473	3	appl	appl	PROPN
ejpam-6053	473	4	.	.	PROPN
ejpam-6053	473	5	math	math	PROPN
ejpam-6053	473	6	,	,	PUNCT
ejpam-6053	473	7	18	18	NUM
ejpam-6053	473	8	(	(	PUNCT
ejpam-6053	473	9	2	2	NUM
ejpam-6053	473	10	)	)	PUNCT
ejpam-6053	473	11	(	(	PUNCT
ejpam-6053	473	12	2025	2025	NUM
ejpam-6053	473	13	)	)	PUNCT
ejpam-6053	473	14	,	,	PUNCT
ejpam-6053	473	15	6053	6053	NUM
ejpam-6053	473	16	20	20	NUM
ejpam-6053	473	17	of	of	ADP
ejpam-6053	473	18	26	26	NUM
ejpam-6053	473	19	r(tm+1	r(tm+1	NOUN
ejpam-6053	473	20	)	)	PUNCT
ejpam-6053	473	21	=	=	PUNCT
ejpam-6053	473	22			X
ejpam-6053	473	23	r0	r0	NOUN
ejpam-6053	473	24	+	+	CCONJ
ejpam-6053	473	25			NUM
ejpam-6053	473	26	hξ−1	hξ−1	PROPN
ejpam-6053	473	27	γ(ξ	γ(ξ	PROPN
ejpam-6053	473	28	+	+	CCONJ
ejpam-6053	473	29	1	1	X
ejpam-6053	473	30	)	)	PUNCT
ejpam-6053	473	31	i∑	i∑	PROPN
ejpam-6053	473	32	q=2	q=2	NOUN
ejpam-6053	473	33	[	[	PUNCT
ejpam-6053	473	34	κξ1ipre(tq−2	κξ1ipre(tq−2	X
ejpam-6053	473	35	)	)	PUNCT
ejpam-6053	473	36	+	+	NUM
ejpam-6053	473	37	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	473	38	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	473	39	)	)	PUNCT
ejpam-6053	473	40	]	]	PUNCT
ejpam-6053	474	1	℧	℧	PROPN
ejpam-6053	474	2	1	1	NUM
ejpam-6053	474	3	+	+	NUM
ejpam-6053	474	4	hξ−1	hξ−1	PROPN
ejpam-6053	474	5	γ(ξ	γ(ξ	PROPN
ejpam-6053	474	6	+	+	CCONJ
ejpam-6053	474	7	2	2	X
ejpam-6053	474	8	)	)	PUNCT
ejpam-6053	474	9	i∑	i∑	PROPN
ejpam-6053	474	10	q=2	q=2	NOUN
ejpam-6053	474	11	[	[	PUNCT
ejpam-6053	474	12	κξ1ipre(tq−1	κξ1ipre(tq−1	PUNCT
ejpam-6053	474	13	)	)	PUNCT
ejpam-6053	474	14	+	+	CCONJ
ejpam-6053	474	15	κξ2ipost(tq−1)−	κξ2ipost(tq−1)−	PROPN
ejpam-6053	474	16	ρξr(tq−1	ρξr(tq−1	X
ejpam-6053	474	17	)	)	PUNCT
ejpam-6053	474	18	−	−	PROPN
ejpam-6053	474	19	(	(	PUNCT
ejpam-6053	474	20	κξ1ipre(tq−2	κξ1ipre(tq−2	NOUN
ejpam-6053	474	21	)	)	PUNCT
ejpam-6053	474	22	+	+	NUM
ejpam-6053	474	23	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	474	24	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	474	25	)	)	PUNCT
ejpam-6053	474	26	)	)	PUNCT
ejpam-6053	474	27	]	]	PUNCT
ejpam-6053	475	1	℧	℧	ADP
ejpam-6053	475	2	2	2	NUM
ejpam-6053	475	3	+	+	NUM
ejpam-6053	475	4	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	475	5	2γ(ξ	2γ(ξ	NUM
ejpam-6053	476	1	+	+	CCONJ
ejpam-6053	476	2	3	3	X
ejpam-6053	476	3	)	)	PUNCT
ejpam-6053	476	4	i∑	i∑	PROPN
ejpam-6053	477	1	q=2	q=2	NOUN
ejpam-6053	477	2	[	[	PUNCT
ejpam-6053	477	3	κξ1ipre(tq−2	κξ1ipre(tq−2	X
ejpam-6053	477	4	)	)	PUNCT
ejpam-6053	477	5	+	+	NUM
ejpam-6053	477	6	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	477	7	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	477	8	)	)	PUNCT
ejpam-6053	477	9	]	]	PUNCT
ejpam-6053	478	1	℧	℧	PROPN
ejpam-6053	478	2	3	3	NUM
ejpam-6053	478	3	,	,	PUNCT
ejpam-6053	478	4	r(t1	r(t1	NOUN
ejpam-6053	478	5	)	)	PUNCT
ejpam-6053	479	1	+	+	CCONJ
ejpam-6053	479	2			PROPN
ejpam-6053	479	3	1−	1−	NUM
ejpam-6053	479	4	ξ	ξ	X
ejpam-6053	479	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	479	6	)	)	PUNCT
ejpam-6053	479	7	[	[	PUNCT
ejpam-6053	479	8	κξ1ipre(tm	κξ1ipre(tm	NOUN
ejpam-6053	479	9	)	)	PUNCT
ejpam-6053	480	1	+	+	CCONJ
ejpam-6053	480	2	κξ2ipost(tm)−	κξ2ipost(tm)−	PROPN
ejpam-6053	480	3	ρξr(tm	ρξr(tm	NOUN
ejpam-6053	480	4	)	)	PUNCT
ejpam-6053	480	5	]	]	PUNCT
ejpam-6053	481	1	+	+	CCONJ
ejpam-6053	481	2	ξ	ξ	X
ejpam-6053	481	3	abc(ξ	abc(ξ	PROPN
ejpam-6053	481	4	)	)	PUNCT
ejpam-6053	481	5	hξ−1	hξ−1	PROPN
ejpam-6053	481	6	γ(ξ	γ(ξ	PROPN
ejpam-6053	481	7	+	+	CCONJ
ejpam-6053	481	8	1	1	X
ejpam-6053	481	9	)	)	PUNCT
ejpam-6053	481	10	m∑	m∑	VERB
ejpam-6053	481	11	q	q	NOUN
ejpam-6053	481	12	=	=	NOUN
ejpam-6053	481	13	i+3	i+3	X
ejpam-6053	481	14	[	[	PUNCT
ejpam-6053	481	15	κξ1ipre(tq−2	κξ1ipre(tq−2	X
ejpam-6053	481	16	)	)	PUNCT
ejpam-6053	481	17	+	+	NUM
ejpam-6053	481	18	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	481	19	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	481	20	)	)	PUNCT
ejpam-6053	481	21	]	]	PUNCT
ejpam-6053	482	1	℧	℧	PUNCT
ejpam-6053	482	2	1	1	NUM
ejpam-6053	482	3	+	+	SYM
ejpam-6053	482	4	ξ	ξ	PROPN
ejpam-6053	482	5	abc(ξ	abc(ξ	PROPN
ejpam-6053	482	6	)	)	PUNCT
ejpam-6053	482	7	hξ−1	hξ−1	PROPN
ejpam-6053	482	8	γ(ξ	γ(ξ	PROPN
ejpam-6053	482	9	+	+	CCONJ
ejpam-6053	482	10	2	2	X
ejpam-6053	482	11	)	)	PUNCT
ejpam-6053	482	12	m∑	m∑	VERB
ejpam-6053	482	13	q	q	NOUN
ejpam-6053	482	14	=	=	NOUN
ejpam-6053	482	15	i+3	i+3	X
ejpam-6053	482	16	[	[	PUNCT
ejpam-6053	482	17	κξ1ipre(tq−1	κξ1ipre(tq−1	X
ejpam-6053	482	18	)	)	PUNCT
ejpam-6053	482	19	+	+	CCONJ
ejpam-6053	482	20	κξ2ipost(tq−1)−	κξ2ipost(tq−1)−	PROPN
ejpam-6053	482	21	ρξr(tq−1	ρξr(tq−1	NOUN
ejpam-6053	482	22	)	)	PUNCT
ejpam-6053	482	23	+	+	NUM
ejpam-6053	482	24	κξ1ipre(tq−2	κξ1ipre(tq−2	NOUN
ejpam-6053	482	25	)	)	PUNCT
ejpam-6053	482	26	+	+	NUM
ejpam-6053	482	27	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	482	28	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	482	29	)	)	PUNCT
ejpam-6053	482	30	]	]	PUNCT
ejpam-6053	482	31	℧	℧	PROPN
ejpam-6053	482	32	2	2	NUM
ejpam-6053	482	33	+	+	SYM
ejpam-6053	482	34	1	1	NUM
ejpam-6053	482	35	abc(ξ	abc(ξ	NOUN
ejpam-6053	482	36	)	)	PUNCT
ejpam-6053	482	37	ξhξ−1	ξhξ−1	PROPN
ejpam-6053	482	38	γ(ξ	γ(ξ	PROPN
ejpam-6053	482	39	+	+	CCONJ
ejpam-6053	482	40	3	3	X
ejpam-6053	482	41	)	)	PUNCT
ejpam-6053	482	42	m∑	m∑	VERB
ejpam-6053	482	43	q	q	NOUN
ejpam-6053	482	44	=	=	NOUN
ejpam-6053	482	45	i+3	i+3	X
ejpam-6053	482	46	[	[	PUNCT
ejpam-6053	482	47	κξ1ipre(tq	κξ1ipre(tq	X
ejpam-6053	482	48	)	)	PUNCT
ejpam-6053	482	49	+	+	CCONJ
ejpam-6053	482	50	κξ2ipost(tq)−	κξ2ipost(tq)−	NOUN
ejpam-6053	482	51	ρξr(tq	ρξr(tq	NUM
ejpam-6053	482	52	)	)	PUNCT
ejpam-6053	482	53	−	−	PROPN
ejpam-6053	482	54	2	2	NUM
ejpam-6053	482	55	[	[	PUNCT
ejpam-6053	482	56	κξ1ipre(tq−1	κξ1ipre(tq−1	X
ejpam-6053	482	57	)	)	PUNCT
ejpam-6053	482	58	+	+	CCONJ
ejpam-6053	482	59	κξ2ipost(tq−1)−	κξ2ipost(tq−1)−	PROPN
ejpam-6053	482	60	ρξr(tq−1	ρξr(tq−1	NOUN
ejpam-6053	482	61	)	)	PUNCT
ejpam-6053	482	62	]	]	PUNCT
ejpam-6053	483	1	+	+	PUNCT
ejpam-6053	483	2	κξ1ipre(tq−2	κξ1ipre(tq−2	NOUN
ejpam-6053	483	3	)	)	PUNCT
ejpam-6053	483	4	+	+	NUM
ejpam-6053	483	5	κξ2ipost(tq−2)−	κξ2ipost(tq−2)−	ADJ
ejpam-6053	483	6	ρξr(tq−2	ρξr(tq−2	PROPN
ejpam-6053	483	7	)	)	PUNCT
ejpam-6053	483	8	]	]	PUNCT
ejpam-6053	484	1	℧	℧	PROPN
ejpam-6053	484	2	3	3	NUM
ejpam-6053	484	3	.	.	PUNCT
ejpam-6053	484	4	(	(	PUNCT
ejpam-6053	484	5	39	39	NUM
ejpam-6053	484	6	)	)	PUNCT
ejpam-6053	484	7	the	the	DET
ejpam-6053	484	8	formulae	formulae	NOUN
ejpam-6053	484	9	deduced	deduce	VERB
ejpam-6053	484	10	in	in	ADP
ejpam-6053	484	11	(	(	PUNCT
ejpam-6053	484	12	35)-(39	35)-(39	NUM
ejpam-6053	484	13	)	)	PUNCT
ejpam-6053	484	14	will	will	AUX
ejpam-6053	484	15	be	be	AUX
ejpam-6053	484	16	used	use	VERB
ejpam-6053	484	17	to	to	PART
ejpam-6053	484	18	simulate	simulate	VERB
ejpam-6053	484	19	the	the	DET
ejpam-6053	484	20	proposed	propose	VERB
ejpam-6053	484	21	model	model	NOUN
ejpam-6053	484	22	(	(	PUNCT
ejpam-6053	484	23	3	3	NUM
ejpam-6053	484	24	)	)	PUNCT
ejpam-6053	484	25	graphically	graphically	ADV
ejpam-6053	484	26	in	in	ADP
ejpam-6053	484	27	next	next	ADJ
ejpam-6053	484	28	section	section	NOUN
ejpam-6053	484	29	.	.	PUNCT
ejpam-6053	485	1	5	5	X
ejpam-6053	485	2	.	.	X
ejpam-6053	485	3	discussions	discussion	NOUN
ejpam-6053	485	4	of	of	ADP
ejpam-6053	485	5	numerical	numerical	ADJ
ejpam-6053	485	6	simulations	simulation	NOUN
ejpam-6053	485	7	for	for	ADP
ejpam-6053	485	8	numerical	numerical	ADJ
ejpam-6053	485	9	illustration	illustration	NOUN
ejpam-6053	485	10	,	,	PUNCT
ejpam-6053	485	11	we	we	PRON
ejpam-6053	485	12	use	use	VERB
ejpam-6053	485	13	the	the	DET
ejpam-6053	485	14	scheme	scheme	NOUN
ejpam-6053	485	15	designed	design	VERB
ejpam-6053	485	16	in	in	ADP
ejpam-6053	485	17	the	the	DET
ejpam-6053	485	18	above	above	ADJ
ejpam-6053	485	19	section	section	NOUN
ejpam-6053	485	20	.	.	PUNCT
ejpam-6053	486	1	here	here	ADV
ejpam-6053	486	2	,	,	PUNCT
ejpam-6053	486	3	we	we	PRON
ejpam-6053	486	4	provide	provide	VERB
ejpam-6053	486	5	some	some	DET
ejpam-6053	486	6	numerical	numerical	ADJ
ejpam-6053	486	7	values	value	NOUN
ejpam-6053	486	8	from	from	ADP
ejpam-6053	486	9	[	[	X
ejpam-6053	486	10	30	30	NUM
ejpam-6053	486	11	]	]	PUNCT
ejpam-6053	486	12	for	for	SCONJ
ejpam-6053	486	13	the	the	DET
ejpam-6053	486	14	nomenclatures	nomenclature	NOUN
ejpam-6053	486	15	involve	involve	VERB
ejpam-6053	486	16	in	in	ADP
ejpam-6053	486	17	our	our	PRON
ejpam-6053	486	18	suggested	suggested	ADJ
ejpam-6053	486	19	model	model	NOUN
ejpam-6053	486	20	(	(	PUNCT
ejpam-6053	486	21	3	3	NUM
ejpam-6053	486	22	)	)	PUNCT
ejpam-6053	486	23	as	as	ADP
ejpam-6053	486	24	:	:	PUNCT
ejpam-6053	486	25	s	s	PART
ejpam-6053	486	26	=	=	SYM
ejpam-6053	486	27	2.465104	2.465104	NUM
ejpam-6053	486	28	,	,	PUNCT
ejpam-6053	486	29	le	le	X
ejpam-6053	486	30	=	=	SYM
ejpam-6053	486	31	0.001664	0.001664	NUM
ejpam-6053	486	32	,	,	PUNCT
ejpam-6053	486	33	ipre	ipre	NOUN
ejpam-6053	486	34	=	=	SYM
ejpam-6053	486	35	0.001751	0.001751	NUM
ejpam-6053	486	36	,	,	PUNCT
ejpam-6053	486	37	ipost	ipost	NOUN
ejpam-6053	486	38	=	=	PUNCT
ejpam-6053	486	39	0.000333	0.000333	NUM
ejpam-6053	486	40	,	,	PUNCT
ejpam-6053	486	41	r	r	NOUN
ejpam-6053	486	42	=	=	SYM
ejpam-6053	486	43	0.244729	0.244729	NUM
ejpam-6053	486	44	and	and	CCONJ
ejpam-6053	486	45	λ	λ	X
ejpam-6053	486	46	=	=	SYM
ejpam-6053	486	47	0.0119	0.0119	NUM
ejpam-6053	486	48	,	,	PUNCT
ejpam-6053	486	49	ρ	ρ	NOUN
ejpam-6053	486	50	=	=	SYM
ejpam-6053	486	51	0.0005	0.0005	NUM
ejpam-6053	486	52	,	,	PUNCT
ejpam-6053	486	53	ϵ1	ϵ1	NOUN
ejpam-6053	486	54	=	=	NOUN
ejpam-6053	486	55	0.51	0.51	NUM
ejpam-6053	486	56	,	,	PUNCT
ejpam-6053	486	57	ϵ2	ϵ2	NOUN
ejpam-6053	486	58	=	=	NOUN
ejpam-6053	486	59	0.25	0.25	NUM
ejpam-6053	486	60	,	,	PUNCT
ejpam-6053	486	61	ε	ε	PROPN
ejpam-6053	486	62	=	=	SYM
ejpam-6053	486	63	0.07	0.07	NUM
ejpam-6053	486	64	,	,	PUNCT
ejpam-6053	486	65	κ1	κ1	NOUN
ejpam-6053	486	66	=	=	PROPN
ejpam-6053	486	67	0.31	0.31	NUM
ejpam-6053	486	68	,	,	PUNCT
ejpam-6053	486	69	κ2	κ2	NOUN
ejpam-6053	486	70	=	=	SYM
ejpam-6053	486	71	0.51	0.51	NUM
ejpam-6053	486	72	,	,	PUNCT
ejpam-6053	486	73	α	α	NOUN
ejpam-6053	486	74	=	=	NOUN
ejpam-6053	486	75	0.04	0.04	NUM
ejpam-6053	486	76	.	.	PUNCT
ejpam-6053	487	1	here	here	ADV
ejpam-6053	487	2	it	it	PRON
ejpam-6053	487	3	should	should	AUX
ejpam-6053	487	4	be	be	AUX
ejpam-6053	487	5	kept	keep	VERB
ejpam-6053	487	6	in	in	ADP
ejpam-6053	487	7	mind	mind	NOUN
ejpam-6053	487	8	that	that	SCONJ
ejpam-6053	487	9	initial	initial	ADJ
ejpam-6053	487	10	data	datum	NOUN
ejpam-6053	487	11	is	be	AUX
ejpam-6053	487	12	considered	consider	VERB
ejpam-6053	487	13	in	in	ADP
ejpam-6053	487	14	millions	million	NOUN
ejpam-6053	487	15	.	.	PUNCT
ejpam-6053	488	1	we	we	PRON
ejpam-6053	488	2	take	take	VERB
ejpam-6053	488	3	t1	t1	NOUN
ejpam-6053	488	4	<	<	X
ejpam-6053	488	5	100	100	NUM
ejpam-6053	488	6	,	,	PUNCT
ejpam-6053	488	7	t	t	NOUN
ejpam-6053	488	8	≤	≤	NUM
ejpam-6053	488	9	400	400	NUM
ejpam-6053	488	10	,	,	PUNCT
ejpam-6053	488	11	and	and	CCONJ
ejpam-6053	488	12	using	use	VERB
ejpam-6053	488	13	the	the	DET
ejpam-6053	488	14	numerical	numerical	ADJ
ejpam-6053	488	15	scheme	scheme	NOUN
ejpam-6053	488	16	established	establish	VERB
ejpam-6053	488	17	afore	afore	ADV
ejpam-6053	488	18	three	three	NUM
ejpam-6053	488	19	different	different	ADJ
ejpam-6053	488	20	cases	case	NOUN
ejpam-6053	488	21	are	be	AUX
ejpam-6053	488	22	discussed	discuss	VERB
ejpam-6053	488	23	here	here	ADV
ejpam-6053	488	24	.	.	PUNCT
ejpam-6053	489	1	eiman	eiman	NOUN
ejpam-6053	489	2	et	et	PROPN
ejpam-6053	489	3	al	al	PROPN
ejpam-6053	489	4	.	.	PUNCT
ejpam-6053	489	5	/	/	SYM
ejpam-6053	489	6	eur	eur	PROPN
ejpam-6053	489	7	.	.	PUNCT
ejpam-6053	490	1	j.	j.	PROPN
ejpam-6053	490	2	pure	pure	PROPN
ejpam-6053	490	3	appl	appl	PROPN
ejpam-6053	490	4	.	.	PROPN
ejpam-6053	490	5	math	math	PROPN
ejpam-6053	490	6	,	,	PUNCT
ejpam-6053	490	7	18	18	NUM
ejpam-6053	490	8	(	(	PUNCT
ejpam-6053	490	9	2	2	NUM
ejpam-6053	490	10	)	)	PUNCT
ejpam-6053	490	11	(	(	PUNCT
ejpam-6053	490	12	2025	2025	NUM
ejpam-6053	490	13	)	)	PUNCT
ejpam-6053	490	14	,	,	PUNCT
ejpam-6053	490	15	6053	6053	NUM
ejpam-6053	490	16	21	21	NUM
ejpam-6053	490	17	of	of	ADP
ejpam-6053	490	18	26	26	NUM
ejpam-6053	490	19	5.1	5.1	NUM
ejpam-6053	490	20	.	.	PUNCT
ejpam-6053	491	1	when	when	SCONJ
ejpam-6053	491	2	ξ	ξ	X
ejpam-6053	491	3	∈	∈	PROPN
ejpam-6053	491	4	[	[	X
ejpam-6053	491	5	0.85	0.85	NUM
ejpam-6053	491	6	,	,	PUNCT
ejpam-6053	491	7	1.0	1.0	NUM
ejpam-6053	491	8	]	]	PUNCT
ejpam-6053	491	9	we	we	PRON
ejpam-6053	491	10	present	present	VERB
ejpam-6053	491	11	the	the	DET
ejpam-6053	491	12	results	result	NOUN
ejpam-6053	491	13	graphically	graphically	ADV
ejpam-6053	491	14	using	use	VERB
ejpam-6053	491	15	various	various	ADJ
ejpam-6053	491	16	values	value	NOUN
ejpam-6053	491	17	of	of	ADP
ejpam-6053	491	18	fractional	fractional	ADJ
ejpam-6053	491	19	orders	order	NOUN
ejpam-6053	491	20	in	in	ADP
ejpam-6053	491	21	figure	figure	NOUN
ejpam-6053	491	22	2	2	NUM
ejpam-6053	491	23	.	.	PUNCT
ejpam-6053	492	1	t	t	NOUN
ejpam-6053	492	2	0	0	NUM
ejpam-6053	492	3	50	50	NUM
ejpam-6053	492	4	100	100	NUM
ejpam-6053	492	5	150	150	NUM
ejpam-6053	492	6	200	200	NUM
ejpam-6053	492	7	250	250	NUM
ejpam-6053	492	8	300	300	NUM
ejpam-6053	492	9	350	350	NUM
ejpam-6053	492	10	400	400	NUM
ejpam-6053	492	11	s	s	NOUN
ejpam-6053	492	12	0	0	NUM
ejpam-6053	492	13	0.5	0.5	NUM
ejpam-6053	492	14	1	1	NUM
ejpam-6053	492	15	1.5	1.5	NUM
ejpam-6053	492	16	2	2	NUM
ejpam-6053	492	17	2.5	2.5	NUM
ejpam-6053	492	18	3	3	NUM
ejpam-6053	492	19	0.85	0.85	NUM
ejpam-6053	492	20	0.90	0.90	NUM
ejpam-6053	492	21	0.95	0.95	NUM
ejpam-6053	492	22	1.0	1.0	NUM
ejpam-6053	492	23	t	t	NOUN
ejpam-6053	492	24	0	0	NUM
ejpam-6053	492	25	50	50	NUM
ejpam-6053	492	26	100	100	NUM
ejpam-6053	492	27	150	150	NUM
ejpam-6053	492	28	200	200	NUM
ejpam-6053	492	29	250	250	NUM
ejpam-6053	492	30	300	300	NUM
ejpam-6053	492	31	350	350	NUM
ejpam-6053	492	32	400	400	NUM
ejpam-6053	492	33	l	l	NOUN
ejpam-6053	492	34	e	e	NOUN
ejpam-6053	492	35	0	0	NUM
ejpam-6053	492	36	0.2	0.2	NUM
ejpam-6053	492	37	0.4	0.4	NUM
ejpam-6053	492	38	0.6	0.6	NUM
ejpam-6053	492	39	0.8	0.8	NUM
ejpam-6053	492	40	1	1	NUM
ejpam-6053	492	41	1.2	1.2	NUM
ejpam-6053	492	42	0.85	0.85	NUM
ejpam-6053	492	43	0.90	0.90	NUM
ejpam-6053	492	44	0.95	0.95	NUM
ejpam-6053	492	45	1.0	1.0	NUM
ejpam-6053	492	46	t	t	NOUN
ejpam-6053	492	47	0	0	NUM
ejpam-6053	492	48	50	50	NUM
ejpam-6053	492	49	100	100	NUM
ejpam-6053	492	50	150	150	NUM
ejpam-6053	492	51	200	200	NUM
ejpam-6053	492	52	250	250	NUM
ejpam-6053	492	53	300	300	NUM
ejpam-6053	492	54	350	350	NUM
ejpam-6053	492	55	400	400	NUM
ejpam-6053	493	1	i	i	PRON
ejpam-6053	493	2	p	p	NOUN
ejpam-6053	493	3	r	r	NOUN
ejpam-6053	493	4	e	e	NOUN
ejpam-6053	493	5	0	0	NUM
ejpam-6053	493	6	0.05	0.05	NUM
ejpam-6053	493	7	0.1	0.1	NUM
ejpam-6053	493	8	0.15	0.15	NUM
ejpam-6053	493	9	0.2	0.2	NUM
ejpam-6053	493	10	0.25	0.25	NUM
ejpam-6053	493	11	0.3	0.3	NUM
ejpam-6053	493	12	0.85	0.85	NUM
ejpam-6053	493	13	0.90	0.90	NUM
ejpam-6053	493	14	0.95	0.95	NUM
ejpam-6053	493	15	1.0	1.0	NUM
ejpam-6053	493	16	t	t	NOUN
ejpam-6053	493	17	0	0	NUM
ejpam-6053	493	18	50	50	NUM
ejpam-6053	493	19	100	100	NUM
ejpam-6053	493	20	150	150	NUM
ejpam-6053	493	21	200	200	NUM
ejpam-6053	493	22	250	250	NUM
ejpam-6053	493	23	300	300	NUM
ejpam-6053	493	24	350	350	NUM
ejpam-6053	493	25	400	400	NUM
ejpam-6053	494	1	i	i	PRON
ejpam-6053	494	2	p	p	X
ejpam-6053	494	3	o	o	X
ejpam-6053	494	4	s	s	X
ejpam-6053	494	5	t	t	NOUN
ejpam-6053	494	6	0	0	NUM
ejpam-6053	494	7	0.005	0.005	NUM
ejpam-6053	494	8	0.01	0.01	NUM
ejpam-6053	494	9	0.015	0.015	NUM
ejpam-6053	494	10	0.02	0.02	NUM
ejpam-6053	494	11	0.025	0.025	NUM
ejpam-6053	494	12	0.03	0.03	NUM
ejpam-6053	494	13	0.035	0.035	NUM
ejpam-6053	494	14	0.85	0.85	NUM
ejpam-6053	494	15	0.90	0.90	NUM
ejpam-6053	494	16	0.95	0.95	NUM
ejpam-6053	494	17	1.0	1.0	NUM
ejpam-6053	494	18	t	t	NOUN
ejpam-6053	494	19	0	0	NUM
ejpam-6053	494	20	50	50	NUM
ejpam-6053	494	21	100	100	NUM
ejpam-6053	494	22	150	150	NUM
ejpam-6053	494	23	200	200	NUM
ejpam-6053	495	1	250	250	NUM
ejpam-6053	495	2	300	300	NUM
ejpam-6053	495	3	350	350	NUM
ejpam-6053	495	4	400	400	NUM
ejpam-6053	495	5	r	r	NOUN
ejpam-6053	495	6	0	0	NUM
ejpam-6053	495	7	2	2	NUM
ejpam-6053	495	8	4	4	NUM
ejpam-6053	495	9	6	6	NUM
ejpam-6053	495	10	8	8	NUM
ejpam-6053	495	11	10	10	NUM
ejpam-6053	495	12	12	12	NUM
ejpam-6053	495	13	0.85	0.85	NUM
ejpam-6053	495	14	0.90	0.90	NUM
ejpam-6053	495	15	0.95	0.95	NUM
ejpam-6053	495	16	1.0	1.0	NUM
ejpam-6053	495	17	figure	figure	NOUN
ejpam-6053	495	18	2	2	NUM
ejpam-6053	495	19	:	:	PUNCT
ejpam-6053	495	20	numerical	numerical	ADJ
ejpam-6053	495	21	results	result	NOUN
ejpam-6053	495	22	for	for	ADP
ejpam-6053	495	23	different	different	ADJ
ejpam-6053	495	24	classes	class	NOUN
ejpam-6053	495	25	at	at	ADP
ejpam-6053	495	26	various	various	ADJ
ejpam-6053	495	27	fractional	fractional	ADJ
ejpam-6053	495	28	orders	order	NOUN
ejpam-6053	495	29	.	.	PUNCT
ejpam-6053	496	1	we	we	PRON
ejpam-6053	496	2	see	see	VERB
ejpam-6053	496	3	from	from	ADP
ejpam-6053	496	4	2	2	NUM
ejpam-6053	496	5	that	that	PRON
ejpam-6053	496	6	as	as	SCONJ
ejpam-6053	496	7	the	the	DET
ejpam-6053	496	8	population	population	NOUN
ejpam-6053	496	9	of	of	ADP
ejpam-6053	496	10	susceptible	susceptible	ADJ
ejpam-6053	496	11	class	class	NOUN
ejpam-6053	496	12	is	be	AUX
ejpam-6053	496	13	decreasing	decrease	VERB
ejpam-6053	496	14	with	with	ADP
ejpam-6053	496	15	different	different	ADJ
ejpam-6053	496	16	scenarios	scenario	NOUN
ejpam-6053	496	17	.	.	PUNCT
ejpam-6053	497	1	as	as	ADP
ejpam-6053	497	2	a	a	DET
ejpam-6053	497	3	results	result	NOUN
ejpam-6053	497	4	the	the	DET
ejpam-6053	497	5	population	population	NOUN
ejpam-6053	497	6	density	density	NOUN
ejpam-6053	497	7	of	of	ADP
ejpam-6053	497	8	latently	latently	ADJ
ejpam-6053	497	9	individuals	individual	NOUN
ejpam-6053	497	10	class	class	NOUN
ejpam-6053	497	11	who	who	PRON
ejpam-6053	497	12	is	be	AUX
ejpam-6053	497	13	also	also	ADV
ejpam-6053	497	14	exposed	expose	VERB
ejpam-6053	497	15	to	to	PART
ejpam-6053	497	16	capture	capture	VERB
ejpam-6053	497	17	virus	virus	NOUN
ejpam-6053	497	18	increasing	increase	VERB
ejpam-6053	497	19	and	and	CCONJ
ejpam-6053	497	20	then	then	ADV
ejpam-6053	497	21	goes	go	VERB
ejpam-6053	497	22	on	on	ADP
ejpam-6053	497	23	reducing	reduce	VERB
ejpam-6053	497	24	as	as	SCONJ
ejpam-6053	497	25	shown	show	VERB
ejpam-6053	497	26	in	in	ADP
ejpam-6053	497	27	figure	figure	NOUN
ejpam-6053	497	28	2	2	NUM
ejpam-6053	497	29	.	.	PUNCT
ejpam-6053	498	1	in	in	ADP
ejpam-6053	498	2	addition	addition	NOUN
ejpam-6053	498	3	,	,	PUNCT
ejpam-6053	498	4	the	the	DET
ejpam-6053	498	5	population	population	NOUN
ejpam-6053	498	6	density	density	NOUN
ejpam-6053	498	7	of	of	ADP
ejpam-6053	498	8	pre	pre	NOUN
ejpam-6053	498	9	-	-	NOUN
ejpam-6053	498	10	mutation	mutation	NOUN
ejpam-6053	498	11	and	and	CCONJ
ejpam-6053	498	12	post	post	ADJ
ejpam-6053	498	13	-	-	ADJ
ejpam-6053	498	14	mutation	mutation	ADJ
ejpam-6053	498	15	individuals	individual	NOUN
ejpam-6053	498	16	also	also	ADV
ejpam-6053	498	17	increases	increase	VERB
ejpam-6053	498	18	with	with	ADP
ejpam-6053	498	19	rapid	rapid	ADJ
ejpam-6053	498	20	growth	growth	NOUN
ejpam-6053	498	21	for	for	ADP
ejpam-6053	498	22	some	some	DET
ejpam-6053	498	23	time	time	NOUN
ejpam-6053	498	24	after	after	ADP
ejpam-6053	498	25	that	that	PRON
ejpam-6053	498	26	they	they	PRON
ejpam-6053	498	27	both	both	PRON
ejpam-6053	498	28	go	go	VERB
ejpam-6053	498	29	to	to	PART
ejpam-6053	498	30	reduce	reduce	VERB
ejpam-6053	498	31	(	(	PUNCT
ejpam-6053	498	32	figures	figure	NOUN
ejpam-6053	498	33	2	2	NUM
ejpam-6053	498	34	)	)	PUNCT
ejpam-6053	498	35	.	.	PUNCT
ejpam-6053	499	1	consequently	consequently	ADV
ejpam-6053	499	2	,	,	PUNCT
ejpam-6053	499	3	the	the	DET
ejpam-6053	499	4	population	population	NOUN
ejpam-6053	499	5	density	density	NOUN
ejpam-6053	499	6	of	of	ADP
ejpam-6053	499	7	recovered	recovered	ADJ
ejpam-6053	499	8	class	class	NOUN
ejpam-6053	499	9	is	be	AUX
ejpam-6053	499	10	increasing	increase	VERB
ejpam-6053	499	11	in	in	ADP
ejpam-6053	499	12	figure	figure	NOUN
ejpam-6053	499	13	2	2	NUM
ejpam-6053	499	14	.	.	PUNCT
ejpam-6053	500	1	moreover	moreover	ADV
ejpam-6053	500	2	,	,	PUNCT
ejpam-6053	500	3	the	the	DET
ejpam-6053	500	4	crossover	crossover	NOUN
ejpam-6053	500	5	dynamics	dynamic	NOUN
ejpam-6053	500	6	of	of	ADP
ejpam-6053	500	7	each	each	DET
ejpam-6053	500	8	compartments	compartment	NOUN
ejpam-6053	500	9	can	can	AUX
ejpam-6053	500	10	be	be	AUX
ejpam-6053	500	11	observed	observe	VERB
ejpam-6053	500	12	in	in	ADP
ejpam-6053	500	13	the	the	DET
ejpam-6053	500	14	neighborhood	neighborhood	NOUN
ejpam-6053	500	15	of	of	ADP
ejpam-6053	500	16	t1	t1	PROPN
ejpam-6053	500	17	.	.	PUNCT
ejpam-6053	501	1	5.2	5.2	NUM
ejpam-6053	501	2	.	.	PUNCT
ejpam-6053	502	1	when	when	SCONJ
ejpam-6053	502	2	ξ	ξ	X
ejpam-6053	502	3	∈	∈	PROPN
ejpam-6053	502	4	[	[	X
ejpam-6053	502	5	0.65	0.65	NUM
ejpam-6053	502	6	,	,	PUNCT
ejpam-6053	502	7	0.80	0.80	NUM
ejpam-6053	502	8	]	]	PUNCT
ejpam-6053	502	9	here	here	ADV
ejpam-6053	502	10	we	we	PRON
ejpam-6053	502	11	re	re	AUX
ejpam-6053	502	12	simulate	simulate	VERB
ejpam-6053	502	13	the	the	DET
ejpam-6053	502	14	results	result	NOUN
ejpam-6053	502	15	for	for	ADP
ejpam-6053	502	16	slighter	slight	ADJ
ejpam-6053	502	17	lower	low	ADJ
ejpam-6053	502	18	fractional	fractional	ADJ
ejpam-6053	502	19	orders	order	NOUN
ejpam-6053	502	20	in	in	ADP
ejpam-6053	502	21	sub	sub	NOUN
ejpam-6053	502	22	figures	figure	NOUN
ejpam-6053	502	23	3	3	NUM
ejpam-6053	502	24	.	.	PUNCT
ejpam-6053	502	25	eiman	eiman	NOUN
ejpam-6053	502	26	et	et	PROPN
ejpam-6053	502	27	al	al	PROPN
ejpam-6053	502	28	.	.	PUNCT
ejpam-6053	502	29	/	/	SYM
ejpam-6053	502	30	eur	eur	PROPN
ejpam-6053	502	31	.	.	PUNCT
ejpam-6053	503	1	j.	j.	PROPN
ejpam-6053	503	2	pure	pure	PROPN
ejpam-6053	503	3	appl	appl	PROPN
ejpam-6053	503	4	.	.	PROPN
ejpam-6053	503	5	math	math	PROPN
ejpam-6053	503	6	,	,	PUNCT
ejpam-6053	503	7	18	18	NUM
ejpam-6053	503	8	(	(	PUNCT
ejpam-6053	503	9	2	2	NUM
ejpam-6053	503	10	)	)	PUNCT
ejpam-6053	503	11	(	(	PUNCT
ejpam-6053	503	12	2025	2025	NUM
ejpam-6053	503	13	)	)	PUNCT
ejpam-6053	503	14	,	,	PUNCT
ejpam-6053	503	15	6053	6053	NUM
ejpam-6053	503	16	22	22	NUM
ejpam-6053	503	17	of	of	ADP
ejpam-6053	503	18	26	26	NUM
ejpam-6053	503	19	t	t	NOUN
ejpam-6053	503	20	0	0	NUM
ejpam-6053	503	21	50	50	NUM
ejpam-6053	503	22	100	100	NUM
ejpam-6053	503	23	150	150	NUM
ejpam-6053	503	24	200	200	NUM
ejpam-6053	503	25	250	250	NUM
ejpam-6053	503	26	300	300	NUM
ejpam-6053	503	27	350	350	NUM
ejpam-6053	503	28	400	400	NUM
ejpam-6053	503	29	s	s	NOUN
ejpam-6053	503	30	0	0	NUM
ejpam-6053	503	31	0.5	0.5	NUM
ejpam-6053	503	32	1	1	NUM
ejpam-6053	503	33	1.5	1.5	NUM
ejpam-6053	503	34	2	2	NUM
ejpam-6053	503	35	2.5	2.5	NUM
ejpam-6053	503	36	3	3	NUM
ejpam-6053	503	37	0.65	0.65	NUM
ejpam-6053	503	38	0.70	0.70	NUM
ejpam-6053	503	39	0.75	0.75	NUM
ejpam-6053	503	40	0.80	0.80	NUM
ejpam-6053	503	41	t	t	NOUN
ejpam-6053	503	42	0	0	NUM
ejpam-6053	503	43	50	50	NUM
ejpam-6053	503	44	100	100	NUM
ejpam-6053	503	45	150	150	NUM
ejpam-6053	503	46	200	200	NUM
ejpam-6053	503	47	250	250	NUM
ejpam-6053	503	48	300	300	NUM
ejpam-6053	503	49	350	350	NUM
ejpam-6053	503	50	400	400	NUM
ejpam-6053	503	51	l	l	NOUN
ejpam-6053	503	52	e	e	NOUN
ejpam-6053	503	53	0	0	NUM
ejpam-6053	503	54	0.2	0.2	NUM
ejpam-6053	503	55	0.4	0.4	NUM
ejpam-6053	503	56	0.6	0.6	NUM
ejpam-6053	503	57	0.8	0.8	NUM
ejpam-6053	503	58	1	1	NUM
ejpam-6053	503	59	1.2	1.2	NUM
ejpam-6053	503	60	1.4	1.4	NUM
ejpam-6053	503	61	0.65	0.65	NUM
ejpam-6053	503	62	0.70	0.70	NUM
ejpam-6053	503	63	0.75	0.75	NUM
ejpam-6053	503	64	0.80	0.80	NUM
ejpam-6053	503	65	t	t	NOUN
ejpam-6053	503	66	0	0	NUM
ejpam-6053	503	67	50	50	NUM
ejpam-6053	503	68	100	100	NUM
ejpam-6053	503	69	150	150	NUM
ejpam-6053	503	70	200	200	NUM
ejpam-6053	503	71	250	250	NUM
ejpam-6053	503	72	300	300	NUM
ejpam-6053	503	73	350	350	NUM
ejpam-6053	503	74	400	400	NUM
ejpam-6053	504	1	i	i	PRON
ejpam-6053	504	2	p	p	NOUN
ejpam-6053	504	3	r	r	NOUN
ejpam-6053	504	4	e	e	NOUN
ejpam-6053	504	5	0	0	NUM
ejpam-6053	504	6	0.05	0.05	NUM
ejpam-6053	504	7	0.1	0.1	NUM
ejpam-6053	504	8	0.15	0.15	NUM
ejpam-6053	504	9	0.2	0.2	NUM
ejpam-6053	504	10	0.25	0.25	NUM
ejpam-6053	504	11	0.3	0.3	NUM
ejpam-6053	504	12	0.35	0.35	NUM
ejpam-6053	504	13	0.65	0.65	NUM
ejpam-6053	504	14	0.70	0.70	NUM
ejpam-6053	504	15	0.75	0.75	NUM
ejpam-6053	504	16	0.80	0.80	NUM
ejpam-6053	504	17	t	t	NOUN
ejpam-6053	504	18	0	0	NUM
ejpam-6053	504	19	50	50	NUM
ejpam-6053	504	20	100	100	NUM
ejpam-6053	504	21	150	150	NUM
ejpam-6053	504	22	200	200	NUM
ejpam-6053	504	23	250	250	NUM
ejpam-6053	504	24	300	300	NUM
ejpam-6053	504	25	350	350	NUM
ejpam-6053	504	26	400	400	NUM
ejpam-6053	505	1	i	i	PRON
ejpam-6053	505	2	p	p	X
ejpam-6053	505	3	o	o	X
ejpam-6053	505	4	s	s	X
ejpam-6053	505	5	t	t	NOUN
ejpam-6053	505	6	0	0	NUM
ejpam-6053	505	7	0.01	0.01	NUM
ejpam-6053	505	8	0.02	0.02	NUM
ejpam-6053	505	9	0.03	0.03	NUM
ejpam-6053	505	10	0.04	0.04	NUM
ejpam-6053	505	11	0.05	0.05	NUM
ejpam-6053	505	12	0.06	0.06	NUM
ejpam-6053	505	13	0.07	0.07	NUM
ejpam-6053	505	14	0.65	0.65	NUM
ejpam-6053	505	15	0.70	0.70	NUM
ejpam-6053	505	16	0.75	0.75	NUM
ejpam-6053	505	17	0.80	0.80	NUM
ejpam-6053	505	18	t	t	NOUN
ejpam-6053	505	19	0	0	NUM
ejpam-6053	505	20	50	50	NUM
ejpam-6053	505	21	100	100	NUM
ejpam-6053	505	22	150	150	NUM
ejpam-6053	505	23	200	200	NUM
ejpam-6053	506	1	250	250	NUM
ejpam-6053	506	2	300	300	NUM
ejpam-6053	506	3	350	350	NUM
ejpam-6053	506	4	400	400	NUM
ejpam-6053	506	5	r	r	NOUN
ejpam-6053	506	6	0	0	NUM
ejpam-6053	506	7	2	2	NUM
ejpam-6053	506	8	4	4	NUM
ejpam-6053	506	9	6	6	NUM
ejpam-6053	506	10	8	8	NUM
ejpam-6053	506	11	10	10	NUM
ejpam-6053	506	12	12	12	NUM
ejpam-6053	506	13	0.65	0.65	NUM
ejpam-6053	506	14	0.70	0.70	NUM
ejpam-6053	506	15	0.75	0.75	NUM
ejpam-6053	506	16	0.80	0.80	NUM
ejpam-6053	506	17	figure	figure	NOUN
ejpam-6053	506	18	3	3	NUM
ejpam-6053	506	19	:	:	PUNCT
ejpam-6053	506	20	numerical	numerical	ADJ
ejpam-6053	506	21	results	result	NOUN
ejpam-6053	506	22	for	for	ADP
ejpam-6053	506	23	different	different	ADJ
ejpam-6053	506	24	classes	class	NOUN
ejpam-6053	506	25	at	at	ADP
ejpam-6053	506	26	various	various	ADJ
ejpam-6053	506	27	fractional	fractional	ADJ
ejpam-6053	506	28	orders	order	NOUN
ejpam-6053	506	29	.	.	PUNCT
ejpam-6053	507	1	here	here	ADV
ejpam-6053	507	2	we	we	PRON
ejpam-6053	507	3	see	see	VERB
ejpam-6053	507	4	in	in	ADP
ejpam-6053	507	5	figures	figure	NOUN
ejpam-6053	507	6	3	3	NUM
ejpam-6053	507	7	,	,	PUNCT
ejpam-6053	507	8	the	the	DET
ejpam-6053	507	9	significant	significant	ADJ
ejpam-6053	507	10	impact	impact	NOUN
ejpam-6053	507	11	of	of	ADP
ejpam-6053	507	12	fractional	fractional	ADJ
ejpam-6053	507	13	order	order	NOUN
ejpam-6053	507	14	derivatives	derivative	NOUN
ejpam-6053	507	15	on	on	ADP
ejpam-6053	507	16	the	the	DET
ejpam-6053	507	17	dynamics	dynamic	NOUN
ejpam-6053	507	18	.	.	PUNCT
ejpam-6053	508	1	there	there	PRON
ejpam-6053	508	2	is	be	VERB
ejpam-6053	508	3	clear	clear	ADJ
ejpam-6053	508	4	description	description	NOUN
ejpam-6053	508	5	of	of	ADP
ejpam-6053	508	6	crossover	crossover	NOUN
ejpam-6053	508	7	behaviors	behavior	NOUN
ejpam-6053	508	8	in	in	ADP
ejpam-6053	508	9	each	each	PRON
ejpam-6053	508	10	and	and	CCONJ
ejpam-6053	508	11	every	every	PRON
ejpam-6053	508	12	compartments	compartment	NOUN
ejpam-6053	508	13	dynamics	dynamic	NOUN
ejpam-6053	508	14	.	.	PUNCT
ejpam-6053	509	1	the	the	DET
ejpam-6053	509	2	decline	decline	NOUN
ejpam-6053	509	3	in	in	ADP
ejpam-6053	509	4	the	the	DET
ejpam-6053	509	5	susceptible	susceptible	ADJ
ejpam-6053	509	6	populations	population	NOUN
ejpam-6053	509	7	implies	imply	VERB
ejpam-6053	509	8	the	the	DET
ejpam-6053	509	9	raise	raise	NOUN
ejpam-6053	509	10	in	in	ADP
ejpam-6053	509	11	latently	latently	ADV
ejpam-6053	509	12	,	,	PUNCT
ejpam-6053	509	13	infected	infected	ADJ
ejpam-6053	509	14	individuals	individual	NOUN
ejpam-6053	509	15	,	,	PUNCT
ejpam-6053	509	16	pre	pre	VERB
ejpam-6053	509	17	and	and	CCONJ
ejpam-6053	509	18	post	post	VERB
ejpam-6053	509	19	mutations	mutation	NOUN
ejpam-6053	509	20	patient	patient	ADJ
ejpam-6053	509	21	populations	population	NOUN
ejpam-6053	509	22	which	which	PRON
ejpam-6053	509	23	after	after	ADP
ejpam-6053	509	24	some	some	DET
ejpam-6053	509	25	time	time	NOUN
ejpam-6053	509	26	decrease	decrease	NOUN
ejpam-6053	509	27	and	and	CCONJ
ejpam-6053	509	28	produce	produce	VERB
ejpam-6053	509	29	they	they	PRON
ejpam-6053	509	30	have	have	VERB
ejpam-6053	509	31	no	no	DET
ejpam-6053	509	32	impact	impact	NOUN
ejpam-6053	509	33	on	on	ADP
ejpam-6053	509	34	the	the	DET
ejpam-6053	509	35	recovered	recovered	ADJ
ejpam-6053	509	36	class	class	NOUN
ejpam-6053	509	37	population	population	NOUN
ejpam-6053	509	38	density	density	NOUN
ejpam-6053	509	39	which	which	PRON
ejpam-6053	509	40	is	be	AUX
ejpam-6053	509	41	decreasing	decrease	VERB
ejpam-6053	509	42	.	.	PUNCT
ejpam-6053	510	1	5.3	5.3	NUM
ejpam-6053	510	2	.	.	PUNCT
ejpam-6053	511	1	when	when	SCONJ
ejpam-6053	511	2	ξ	ξ	X
ejpam-6053	511	3	∈	∈	PROPN
ejpam-6053	511	4	[	[	X
ejpam-6053	511	5	0.45	0.45	NUM
ejpam-6053	511	6	,	,	PUNCT
ejpam-6053	511	7	0.60	0.60	NUM
ejpam-6053	511	8	]	]	PUNCT
ejpam-6053	511	9	here	here	ADV
ejpam-6053	511	10	we	we	PRON
ejpam-6053	511	11	re	re	AUX
ejpam-6053	511	12	simulate	simulate	VERB
ejpam-6053	511	13	the	the	DET
ejpam-6053	511	14	results	result	NOUN
ejpam-6053	511	15	for	for	ADP
ejpam-6053	511	16	slighter	slight	ADJ
ejpam-6053	511	17	lower	low	ADJ
ejpam-6053	511	18	fractional	fractional	ADJ
ejpam-6053	511	19	orders	order	NOUN
ejpam-6053	511	20	in	in	ADP
ejpam-6053	511	21	figures	figure	NOUN
ejpam-6053	511	22	4	4	NUM
ejpam-6053	511	23	.	.	PUNCT
ejpam-6053	511	24	eiman	eiman	NOUN
ejpam-6053	511	25	et	et	PROPN
ejpam-6053	511	26	al	al	PROPN
ejpam-6053	511	27	.	.	PUNCT
ejpam-6053	511	28	/	/	SYM
ejpam-6053	511	29	eur	eur	PROPN
ejpam-6053	511	30	.	.	PUNCT
ejpam-6053	512	1	j.	j.	PROPN
ejpam-6053	512	2	pure	pure	PROPN
ejpam-6053	512	3	appl	appl	PROPN
ejpam-6053	512	4	.	.	PROPN
ejpam-6053	512	5	math	math	PROPN
ejpam-6053	512	6	,	,	PUNCT
ejpam-6053	512	7	18	18	NUM
ejpam-6053	512	8	(	(	PUNCT
ejpam-6053	512	9	2	2	NUM
ejpam-6053	512	10	)	)	PUNCT
ejpam-6053	512	11	(	(	PUNCT
ejpam-6053	512	12	2025	2025	NUM
ejpam-6053	512	13	)	)	PUNCT
ejpam-6053	512	14	,	,	PUNCT
ejpam-6053	512	15	6053	6053	NUM
ejpam-6053	512	16	23	23	NUM
ejpam-6053	512	17	of	of	ADP
ejpam-6053	512	18	26	26	NUM
ejpam-6053	512	19	t	t	NOUN
ejpam-6053	512	20	0	0	NUM
ejpam-6053	512	21	50	50	NUM
ejpam-6053	512	22	100	100	NUM
ejpam-6053	512	23	150	150	NUM
ejpam-6053	512	24	200	200	NUM
ejpam-6053	512	25	250	250	NUM
ejpam-6053	512	26	300	300	NUM
ejpam-6053	512	27	350	350	NUM
ejpam-6053	512	28	400	400	NUM
ejpam-6053	512	29	s	s	NOUN
ejpam-6053	512	30	0	0	NUM
ejpam-6053	512	31	0.5	0.5	NUM
ejpam-6053	512	32	1	1	NUM
ejpam-6053	512	33	1.5	1.5	NUM
ejpam-6053	512	34	2	2	NUM
ejpam-6053	512	35	2.5	2.5	NUM
ejpam-6053	512	36	3	3	NUM
ejpam-6053	512	37	0.30	0.30	NUM
ejpam-6053	512	38	0.40	0.40	NUM
ejpam-6053	512	39	0.50	0.50	NUM
ejpam-6053	512	40	0.60	0.60	NUM
ejpam-6053	512	41	t	t	NOUN
ejpam-6053	512	42	0	0	NUM
ejpam-6053	512	43	50	50	NUM
ejpam-6053	512	44	100	100	NUM
ejpam-6053	512	45	150	150	NUM
ejpam-6053	512	46	200	200	NUM
ejpam-6053	512	47	250	250	NUM
ejpam-6053	512	48	300	300	NUM
ejpam-6053	512	49	350	350	NUM
ejpam-6053	512	50	400	400	NUM
ejpam-6053	512	51	l	l	NOUN
ejpam-6053	512	52	e	e	NOUN
ejpam-6053	512	53	0	0	NUM
ejpam-6053	512	54	0.2	0.2	NUM
ejpam-6053	512	55	0.4	0.4	NUM
ejpam-6053	512	56	0.6	0.6	NUM
ejpam-6053	512	57	0.8	0.8	NUM
ejpam-6053	512	58	1	1	NUM
ejpam-6053	512	59	1.2	1.2	NUM
ejpam-6053	512	60	1.4	1.4	NUM
ejpam-6053	512	61	0.30	0.30	NUM
ejpam-6053	512	62	0.40	0.40	NUM
ejpam-6053	512	63	0.50	0.50	NUM
ejpam-6053	512	64	0.60	0.60	NUM
ejpam-6053	512	65	t	t	NOUN
ejpam-6053	512	66	0	0	NUM
ejpam-6053	512	67	50	50	NUM
ejpam-6053	512	68	100	100	NUM
ejpam-6053	512	69	150	150	NUM
ejpam-6053	512	70	200	200	NUM
ejpam-6053	512	71	250	250	NUM
ejpam-6053	512	72	300	300	NUM
ejpam-6053	512	73	350	350	NUM
ejpam-6053	512	74	400	400	NUM
ejpam-6053	513	1	i	i	PRON
ejpam-6053	513	2	p	p	NOUN
ejpam-6053	513	3	r	r	NOUN
ejpam-6053	513	4	e	e	NOUN
ejpam-6053	513	5	0	0	NUM
ejpam-6053	513	6	0.1	0.1	NUM
ejpam-6053	513	7	0.2	0.2	NUM
ejpam-6053	513	8	0.3	0.3	NUM
ejpam-6053	513	9	0.4	0.4	NUM
ejpam-6053	513	10	0.5	0.5	NUM
ejpam-6053	513	11	0.30	0.30	NUM
ejpam-6053	513	12	0.40	0.40	NUM
ejpam-6053	513	13	0.50	0.50	NUM
ejpam-6053	513	14	0.60	0.60	NUM
ejpam-6053	513	15	t	t	NOUN
ejpam-6053	513	16	0	0	NUM
ejpam-6053	513	17	50	50	NUM
ejpam-6053	513	18	100	100	NUM
ejpam-6053	513	19	150	150	NUM
ejpam-6053	513	20	200	200	NUM
ejpam-6053	513	21	250	250	NUM
ejpam-6053	513	22	300	300	NUM
ejpam-6053	513	23	350	350	NUM
ejpam-6053	513	24	400	400	NUM
ejpam-6053	514	1	i	i	PRON
ejpam-6053	514	2	p	p	X
ejpam-6053	514	3	o	o	X
ejpam-6053	514	4	s	s	X
ejpam-6053	514	5	t	t	NOUN
ejpam-6053	514	6	0	0	NUM
ejpam-6053	514	7	0.05	0.05	NUM
ejpam-6053	514	8	0.1	0.1	NUM
ejpam-6053	514	9	0.15	0.15	NUM
ejpam-6053	514	10	0.2	0.2	NUM
ejpam-6053	514	11	0.30	0.30	NUM
ejpam-6053	514	12	0.40	0.40	NUM
ejpam-6053	514	13	0.50	0.50	NUM
ejpam-6053	514	14	0.60	0.60	NUM
ejpam-6053	514	15	t	t	NOUN
ejpam-6053	514	16	0	0	NUM
ejpam-6053	514	17	50	50	NUM
ejpam-6053	514	18	100	100	NUM
ejpam-6053	514	19	150	150	NUM
ejpam-6053	514	20	200	200	NUM
ejpam-6053	514	21	250	250	NUM
ejpam-6053	514	22	300	300	NUM
ejpam-6053	514	23	350	350	NUM
ejpam-6053	514	24	400	400	NUM
ejpam-6053	514	25	r	r	NOUN
ejpam-6053	514	26	0	0	NUM
ejpam-6053	514	27	2	2	NUM
ejpam-6053	514	28	4	4	NUM
ejpam-6053	514	29	6	6	NUM
ejpam-6053	514	30	8	8	NUM
ejpam-6053	514	31	0.30	0.30	NUM
ejpam-6053	514	32	0.40	0.40	NUM
ejpam-6053	514	33	0.50	0.50	NUM
ejpam-6053	514	34	0.60	0.60	NUM
ejpam-6053	514	35	figure	figure	NOUN
ejpam-6053	514	36	4	4	NUM
ejpam-6053	514	37	:	:	PUNCT
ejpam-6053	514	38	numerical	numerical	ADJ
ejpam-6053	514	39	results	result	NOUN
ejpam-6053	514	40	for	for	ADP
ejpam-6053	514	41	different	different	ADJ
ejpam-6053	514	42	classes	class	NOUN
ejpam-6053	514	43	at	at	ADP
ejpam-6053	514	44	various	various	ADJ
ejpam-6053	514	45	fractional	fractional	ADJ
ejpam-6053	514	46	orders	order	NOUN
ejpam-6053	514	47	.	.	PUNCT
ejpam-6053	515	1	here	here	ADV
ejpam-6053	515	2	we	we	PRON
ejpam-6053	515	3	see	see	VERB
ejpam-6053	515	4	in	in	ADP
ejpam-6053	515	5	sub	sub	NOUN
ejpam-6053	515	6	figures	figure	NOUN
ejpam-6053	515	7	of	of	ADP
ejpam-6053	515	8	4	4	NUM
ejpam-6053	515	9	,	,	PUNCT
ejpam-6053	515	10	lower	low	ADJ
ejpam-6053	515	11	fractional	fractional	ADJ
ejpam-6053	515	12	order	order	NOUN
ejpam-6053	515	13	produce	produce	VERB
ejpam-6053	515	14	significant	significant	ADJ
ejpam-6053	515	15	impact	impact	NOUN
ejpam-6053	515	16	on	on	ADP
ejpam-6053	515	17	the	the	DET
ejpam-6053	515	18	dynamics	dynamic	NOUN
ejpam-6053	515	19	of	of	ADP
ejpam-6053	515	20	all	all	DET
ejpam-6053	515	21	compartments	compartment	NOUN
ejpam-6053	515	22	of	of	ADP
ejpam-6053	515	23	the	the	DET
ejpam-6053	515	24	proposed	propose	VERB
ejpam-6053	515	25	model	model	NOUN
ejpam-6053	515	26	.	.	PUNCT
ejpam-6053	516	1	there	there	PRON
ejpam-6053	516	2	is	be	VERB
ejpam-6053	516	3	clear	clear	ADJ
ejpam-6053	516	4	description	description	NOUN
ejpam-6053	516	5	of	of	ADP
ejpam-6053	516	6	crossover	crossover	NOUN
ejpam-6053	516	7	behaviors	behavior	NOUN
ejpam-6053	516	8	in	in	ADP
ejpam-6053	516	9	each	each	PRON
ejpam-6053	516	10	and	and	CCONJ
ejpam-6053	516	11	every	every	PRON
ejpam-6053	516	12	compartments	compartment	NOUN
ejpam-6053	516	13	dynamics	dynamic	NOUN
ejpam-6053	516	14	.	.	PUNCT
ejpam-6053	517	1	the	the	DET
ejpam-6053	517	2	decline	decline	NOUN
ejpam-6053	517	3	in	in	ADP
ejpam-6053	517	4	the	the	DET
ejpam-6053	517	5	susceptible	susceptible	ADJ
ejpam-6053	517	6	populations	population	NOUN
ejpam-6053	517	7	implies	imply	VERB
ejpam-6053	517	8	the	the	DET
ejpam-6053	517	9	raise	raise	NOUN
ejpam-6053	517	10	in	in	ADP
ejpam-6053	517	11	latently	latently	ADV
ejpam-6053	517	12	,	,	PUNCT
ejpam-6053	517	13	infected	infected	ADJ
ejpam-6053	517	14	individuals	individual	NOUN
ejpam-6053	517	15	,	,	PUNCT
ejpam-6053	517	16	pre	pre	VERB
ejpam-6053	517	17	and	and	CCONJ
ejpam-6053	517	18	post	post	VERB
ejpam-6053	517	19	mutations	mutation	NOUN
ejpam-6053	517	20	patient	patient	ADJ
ejpam-6053	517	21	populations	population	NOUN
ejpam-6053	517	22	.	.	PUNCT
ejpam-6053	518	1	both	both	PRON
ejpam-6053	518	2	pre	pre	VERB
ejpam-6053	518	3	and	and	CCONJ
ejpam-6053	518	4	post	post	VERB
ejpam-6053	518	5	mutation	mutation	NOUN
ejpam-6053	518	6	classes	class	NOUN
ejpam-6053	518	7	produce	produce	VERB
ejpam-6053	518	8	no	no	DET
ejpam-6053	518	9	impact	impact	NOUN
ejpam-6053	518	10	on	on	ADP
ejpam-6053	518	11	the	the	DET
ejpam-6053	518	12	recovered	recovered	ADJ
ejpam-6053	518	13	class	class	NOUN
ejpam-6053	518	14	population	population	NOUN
ejpam-6053	518	15	density	density	NOUN
ejpam-6053	518	16	which	which	PRON
ejpam-6053	518	17	is	be	AUX
ejpam-6053	518	18	increasing	increase	VERB
ejpam-6053	518	19	.	.	PUNCT
ejpam-6053	519	1	6	6	X
ejpam-6053	519	2	.	.	X
ejpam-6053	519	3	conclusion	conclusion	NOUN
ejpam-6053	519	4	in	in	ADP
ejpam-6053	519	5	the	the	DET
ejpam-6053	519	6	presented	present	VERB
ejpam-6053	519	7	research	research	NOUN
ejpam-6053	519	8	work	work	NOUN
ejpam-6053	519	9	,	,	PUNCT
ejpam-6053	519	10	we	we	PRON
ejpam-6053	519	11	have	have	AUX
ejpam-6053	519	12	established	establish	VERB
ejpam-6053	519	13	a	a	DET
ejpam-6053	519	14	model	model	NOUN
ejpam-6053	519	15	under	under	ADP
ejpam-6053	519	16	the	the	DET
ejpam-6053	519	17	concept	concept	NOUN
ejpam-6053	519	18	of	of	ADP
ejpam-6053	519	19	piecewise	piecewise	NOUN
ejpam-6053	519	20	equations	equation	NOUN
ejpam-6053	519	21	with	with	ADP
ejpam-6053	519	22	fractional	fractional	ADJ
ejpam-6053	519	23	order	order	NOUN
ejpam-6053	519	24	derivatives	derivative	NOUN
ejpam-6053	519	25	.	.	PUNCT
ejpam-6053	520	1	extending	extend	VERB
ejpam-6053	520	2	the	the	DET
ejpam-6053	520	3	usual	usual	ADJ
ejpam-6053	520	4	analysis	analysis	NOUN
ejpam-6053	520	5	tools	tool	NOUN
ejpam-6053	520	6	,	,	PUNCT
ejpam-6053	520	7	we	we	PRON
ejpam-6053	520	8	have	have	AUX
ejpam-6053	520	9	computed	compute	VERB
ejpam-6053	520	10	boundedness	boundedness	PROPN
ejpam-6053	520	11	feasible	feasible	ADJ
ejpam-6053	520	12	region	region	NOUN
ejpam-6053	520	13	,	,	PUNCT
ejpam-6053	520	14	and	and	CCONJ
ejpam-6053	520	15	positivity	positivity	NOUN
ejpam-6053	520	16	of	of	ADP
ejpam-6053	520	17	solution	solution	NOUN
ejpam-6053	520	18	by	by	ADP
ejpam-6053	520	19	using	use	VERB
ejpam-6053	520	20	the	the	DET
ejpam-6053	520	21	adopted	adopt	VERB
ejpam-6053	520	22	derivatives	derivative	NOUN
ejpam-6053	520	23	.	.	PUNCT
ejpam-6053	521	1	previously	previously	ADV
ejpam-6053	521	2	in	in	ADP
ejpam-6053	521	3	literatures	literature	NOUN
ejpam-6053	521	4	,	,	PUNCT
ejpam-6053	521	5	researchers	researcher	NOUN
ejpam-6053	521	6	have	have	AUX
ejpam-6053	521	7	deduced	deduce	VERB
ejpam-6053	521	8	the	the	DET
ejpam-6053	521	9	concerned	concerned	ADJ
ejpam-6053	521	10	results	result	NOUN
ejpam-6053	521	11	by	by	ADP
ejpam-6053	521	12	using	use	VERB
ejpam-6053	521	13	traditional	traditional	ADJ
ejpam-6053	521	14	integer	integer	NOUN
ejpam-6053	521	15	order	order	NOUN
ejpam-6053	521	16	derivatives	derivative	NOUN
ejpam-6053	521	17	.	.	PUNCT
ejpam-6053	522	1	also	also	ADV
ejpam-6053	522	2	,	,	PUNCT
ejpam-6053	522	3	we	we	PRON
ejpam-6053	522	4	have	have	AUX
ejpam-6053	522	5	computed	compute	VERB
ejpam-6053	522	6	the	the	DET
ejpam-6053	522	7	fundamental	fundamental	ADJ
ejpam-6053	522	8	reproductive	reproductive	ADJ
ejpam-6053	522	9	ratio	ratio	NOUN
ejpam-6053	522	10	and	and	CCONJ
ejpam-6053	522	11	deduced	deduce	VERB
ejpam-6053	522	12	the	the	DET
ejpam-6053	522	13	local	local	ADJ
ejpam-6053	522	14	asymptotical	asymptotical	ADJ
ejpam-6053	522	15	stability	stability	NOUN
ejpam-6053	522	16	for	for	ADP
ejpam-6053	522	17	trivial	trivial	ADJ
ejpam-6053	522	18	equilibrium	equilibrium	NOUN
ejpam-6053	522	19	.	.	PUNCT
ejpam-6053	523	1	for	for	ADP
ejpam-6053	523	2	global	global	ADJ
ejpam-6053	523	3	stability	stability	NOUN
ejpam-6053	523	4	of	of	ADP
ejpam-6053	523	5	the	the	DET
ejpam-6053	523	6	model	model	NOUN
ejpam-6053	523	7	non	non	ADJ
ejpam-6053	523	8	-	-	ADJ
ejpam-6053	523	9	trivial	trivial	ADJ
ejpam-6053	523	10	unique	unique	ADJ
ejpam-6053	523	11	equilibrium	equilibrium	NOUN
ejpam-6053	523	12	,	,	PUNCT
ejpam-6053	523	13	we	we	PRON
ejpam-6053	523	14	have	have	AUX
ejpam-6053	523	15	constructed	construct	VERB
ejpam-6053	523	16	a	a	DET
ejpam-6053	523	17	voltera	voltera	NOUN
ejpam-6053	523	18	-	-	PUNCT
ejpam-6053	523	19	lyapunov	lyapunov	ADJ
ejpam-6053	523	20	function	function	NOUN
ejpam-6053	523	21	and	and	CCONJ
ejpam-6053	523	22	proved	prove	VERB
ejpam-6053	523	23	the	the	DET
ejpam-6053	523	24	concerned	concerned	ADJ
ejpam-6053	523	25	results	result	NOUN
ejpam-6053	523	26	.	.	PUNCT
ejpam-6053	524	1	for	for	ADP
ejpam-6053	524	2	the	the	DET
ejpam-6053	524	3	existence	existence	NOUN
ejpam-6053	524	4	of	of	ADP
ejpam-6053	524	5	unique	unique	ADJ
ejpam-6053	524	6	solution	solution	NOUN
ejpam-6053	524	7	,	,	PUNCT
ejpam-6053	524	8	we	we	PRON
ejpam-6053	524	9	have	have	AUX
ejpam-6053	524	10	established	establish	VERB
ejpam-6053	524	11	sufficient	sufficient	ADJ
ejpam-6053	524	12	results	result	NOUN
ejpam-6053	524	13	using	use	VERB
ejpam-6053	524	14	banach	banach	NOUN
ejpam-6053	524	15	theorem	theorem	VERB
ejpam-6053	524	16	.	.	PUNCT
ejpam-6053	525	1	finally	finally	ADV
ejpam-6053	525	2	a	a	DET
ejpam-6053	525	3	sophistieiman	sophistieiman	NOUN
ejpam-6053	525	4	et	et	PROPN
ejpam-6053	525	5	al	al	PROPN
ejpam-6053	525	6	.	.	PUNCT
ejpam-6053	525	7	/	/	SYM
ejpam-6053	525	8	eur	eur	PROPN
ejpam-6053	525	9	.	.	PUNCT
ejpam-6053	526	1	j.	j.	PROPN
ejpam-6053	526	2	pure	pure	PROPN
ejpam-6053	526	3	appl	appl	PROPN
ejpam-6053	526	4	.	.	PROPN
ejpam-6053	526	5	math	math	PROPN
ejpam-6053	526	6	,	,	PUNCT
ejpam-6053	526	7	18	18	NUM
ejpam-6053	526	8	(	(	PUNCT
ejpam-6053	526	9	2	2	NUM
ejpam-6053	526	10	)	)	PUNCT
ejpam-6053	526	11	(	(	PUNCT
ejpam-6053	526	12	2025	2025	NUM
ejpam-6053	526	13	)	)	PUNCT
ejpam-6053	526	14	,	,	PUNCT
ejpam-6053	526	15	6053	6053	NUM
ejpam-6053	526	16	24	24	NUM
ejpam-6053	526	17	of	of	ADP
ejpam-6053	526	18	26	26	NUM
ejpam-6053	526	19	cated	cat	VERB
ejpam-6053	526	20	numerical	numerical	ADJ
ejpam-6053	526	21	scheme	scheme	NOUN
ejpam-6053	526	22	based	base	VERB
ejpam-6053	526	23	on	on	ADP
ejpam-6053	526	24	interpolation	interpolation	NOUN
ejpam-6053	526	25	method	method	NOUN
ejpam-6053	526	26	has	have	AUX
ejpam-6053	526	27	also	also	ADV
ejpam-6053	526	28	derived	derive	VERB
ejpam-6053	526	29	.	.	PUNCT
ejpam-6053	527	1	in	in	ADP
ejpam-6053	527	2	the	the	DET
ejpam-6053	527	3	last	last	NOUN
ejpam-6053	527	4	,	,	PUNCT
ejpam-6053	527	5	we	we	PRON
ejpam-6053	527	6	have	have	AUX
ejpam-6053	527	7	simulated	simulate	VERB
ejpam-6053	527	8	the	the	DET
ejpam-6053	527	9	results	result	NOUN
ejpam-6053	527	10	graphically	graphically	ADV
ejpam-6053	527	11	for	for	ADP
ejpam-6053	527	12	various	various	ADJ
ejpam-6053	527	13	fractional	fractional	ADJ
ejpam-6053	527	14	orders	order	NOUN
ejpam-6053	527	15	of	of	ADP
ejpam-6053	527	16	different	different	ADJ
ejpam-6053	527	17	compartments	compartment	NOUN
ejpam-6053	527	18	of	of	ADP
ejpam-6053	527	19	the	the	DET
ejpam-6053	527	20	proposed	propose	VERB
ejpam-6053	527	21	model	model	NOUN
ejpam-6053	527	22	.	.	PUNCT
ejpam-6053	528	1	our	our	PRON
ejpam-6053	528	2	simulations	simulation	NOUN
ejpam-6053	528	3	results	result	NOUN
ejpam-6053	528	4	revealed	reveal	VERB
ejpam-6053	528	5	that	that	SCONJ
ejpam-6053	528	6	piecewise	piecewise	NOUN
ejpam-6053	528	7	derivatives	derivative	NOUN
ejpam-6053	528	8	have	have	AUX
ejpam-6053	528	9	significantly	significantly	ADV
ejpam-6053	528	10	described	describe	VERB
ejpam-6053	528	11	the	the	DET
ejpam-6053	528	12	multi	multi	NOUN
ejpam-6053	528	13	-	-	NOUN
ejpam-6053	528	14	behaviors	behavior	NOUN
ejpam-6053	528	15	in	in	ADP
ejpam-6053	528	16	the	the	DET
ejpam-6053	528	17	dynamics	dynamic	NOUN
ejpam-6053	528	18	of	of	ADP
ejpam-6053	528	19	mutation	mutation	NOUN
ejpam-6053	528	20	model	model	NOUN
ejpam-6053	528	21	.	.	PUNCT
ejpam-6053	529	1	in	in	ADP
ejpam-6053	529	2	the	the	DET
ejpam-6053	529	3	future	future	NOUN
ejpam-6053	529	4	,	,	PUNCT
ejpam-6053	529	5	the	the	DET
ejpam-6053	529	6	aforesaid	aforesaid	ADJ
ejpam-6053	529	7	analysis	analysis	NOUN
ejpam-6053	529	8	can	can	AUX
ejpam-6053	529	9	be	be	AUX
ejpam-6053	529	10	used	use	VERB
ejpam-6053	529	11	to	to	PART
ejpam-6053	529	12	investigate	investigate	VERB
ejpam-6053	529	13	complex	complex	ADJ
ejpam-6053	529	14	dynamical	dynamical	ADJ
ejpam-6053	529	15	systems	system	NOUN
ejpam-6053	529	16	of	of	ADP
ejpam-6053	529	17	infectious	infectious	ADJ
ejpam-6053	529	18	disease	disease	NOUN
ejpam-6053	529	19	with	with	ADP
ejpam-6053	529	20	multiple	multiple	ADJ
ejpam-6053	529	21	delays	delay	NOUN
ejpam-6053	529	22	terms	term	NOUN
ejpam-6053	529	23	.	.	PUNCT
ejpam-6053	530	1	also	also	ADV
ejpam-6053	530	2	,	,	PUNCT
ejpam-6053	530	3	we	we	PRON
ejpam-6053	530	4	can	can	AUX
ejpam-6053	530	5	investigate	investigate	VERB
ejpam-6053	530	6	the	the	DET
ejpam-6053	530	7	considered	consider	VERB
ejpam-6053	530	8	model	model	NOUN
ejpam-6053	530	9	by	by	ADP
ejpam-6053	530	10	using	use	VERB
ejpam-6053	530	11	fractals	fractal	NOUN
ejpam-6053	530	12	fractional	fractional	ADJ
ejpam-6053	530	13	or	or	CCONJ
ejpam-6053	530	14	stochastic	stochastic	ADJ
ejpam-6053	530	15	concepts	concept	NOUN
ejpam-6053	530	16	.	.	PUNCT
ejpam-6053	531	1	also	also	ADV
ejpam-6053	531	2	,	,	PUNCT
ejpam-6053	531	3	a	a	DET
ejpam-6053	531	4	comparative	comparative	ADJ
ejpam-6053	531	5	study	study	NOUN
ejpam-6053	531	6	of	of	ADP
ejpam-6053	531	7	piecewise	piecewise	NOUN
ejpam-6053	531	8	and	and	CCONJ
ejpam-6053	531	9	stochastic	stochastic	NOUN
ejpam-6053	531	10	will	will	AUX
ejpam-6053	531	11	help	help	VERB
ejpam-6053	531	12	readers	reader	NOUN
ejpam-6053	531	13	to	to	PART
ejpam-6053	531	14	further	far	ADV
ejpam-6053	531	15	understand	understand	VERB
ejpam-6053	531	16	mutation	mutation	NOUN
ejpam-6053	531	17	process	process	NOUN
ejpam-6053	531	18	with	with	ADP
ejpam-6053	531	19	more	more	ADV
ejpam-6053	531	20	informative	informative	ADJ
ejpam-6053	531	21	details	detail	NOUN
ejpam-6053	531	22	.	.	PUNCT
ejpam-6053	532	1	acknowledgements	acknowledgement	NOUN
ejpam-6053	532	2	authors	author	NOUN
ejpam-6053	532	3	are	be	AUX
ejpam-6053	532	4	thankful	thankful	ADJ
ejpam-6053	532	5	to	to	ADP
ejpam-6053	532	6	prince	prince	PROPN
ejpam-6053	532	7	sultan	sultan	PROPN
ejpam-6053	532	8	university	university	PROPN
ejpam-6053	532	9	for	for	ADP
ejpam-6053	532	10	apc	apc	PROPN
ejpam-6053	532	11	and	and	CCONJ
ejpam-6053	532	12	support	support	VERB
ejpam-6053	532	13	through	through	ADP
ejpam-6053	532	14	tas	ta	NOUN
ejpam-6053	532	15	research	research	NOUN
ejpam-6053	532	16	lab	lab	NOUN
ejpam-6053	532	17	.	.	PUNCT
ejpam-6053	533	1	competing	compete	VERB
ejpam-6053	533	2	interest	interest	NOUN
ejpam-6053	533	3	does	do	AUX
ejpam-6053	533	4	not	not	PART
ejpam-6053	533	5	exist	exist	VERB
ejpam-6053	533	6	.	.	PUNCT
ejpam-6053	534	1	references	reference	NOUN
ejpam-6053	534	2	[	[	X
ejpam-6053	534	3	1	1	NUM
ejpam-6053	534	4	]	]	X
ejpam-6053	534	5	r.	r.	PROPN
ejpam-6053	534	6	sanjuán	sanjuán	PROPN
ejpam-6053	534	7	,	,	PUNCT
ejpam-6053	534	8	m.	m.	PROPN
ejpam-6053	534	9	r.	r.	PROPN
ejpam-6053	534	10	nebot	nebot	PROPN
ejpam-6053	534	11	,	,	PUNCT
ejpam-6053	534	12	n.	n.	PROPN
ejpam-6053	534	13	chirico	chirico	PROPN
ejpam-6053	534	14	,	,	PUNCT
ejpam-6053	534	15	l.	l.	PROPN
ejpam-6053	534	16	m.	m.	PROPN
ejpam-6053	534	17	mansky	mansky	PROPN
ejpam-6053	534	18	,	,	PUNCT
ejpam-6053	534	19	and	and	CCONJ
ejpam-6053	534	20	r.	r.	PROPN
ejpam-6053	534	21	belshaw	belshaw	NOUN
ejpam-6053	534	22	.	.	PUNCT
ejpam-6053	535	1	viral	viral	ADJ
ejpam-6053	535	2	mutation	mutation	NOUN
ejpam-6053	535	3	rates	rate	NOUN
ejpam-6053	535	4	.	.	PUNCT
ejpam-6053	536	1	journal	journal	NOUN
ejpam-6053	536	2	of	of	ADP
ejpam-6053	536	3	virology	virology	NOUN
ejpam-6053	536	4	,	,	PUNCT
ejpam-6053	536	5	84(19):9733–9748	84(19):9733–9748	PROPN
ejpam-6053	536	6	,	,	PUNCT
ejpam-6053	536	7	2010	2010	NUM
ejpam-6053	536	8	.	.	PUNCT
ejpam-6053	537	1	[	[	X
ejpam-6053	537	2	2	2	NUM
ejpam-6053	537	3	]	]	X
ejpam-6053	537	4	r.	r.	NOUN
ejpam-6053	537	5	sanjuán	sanjuán	PROPN
ejpam-6053	537	6	and	and	CCONJ
ejpam-6053	537	7	p.	p.	NOUN
ejpam-6053	537	8	domingo	domingo	NOUN
ejpam-6053	537	9	-	-	PUNCT
ejpam-6053	537	10	calap	calap	NOUN
ejpam-6053	537	11	.	.	PUNCT
ejpam-6053	538	1	mechanisms	mechanism	NOUN
ejpam-6053	538	2	of	of	ADP
ejpam-6053	538	3	viral	viral	ADJ
ejpam-6053	538	4	mutation	mutation	NOUN
ejpam-6053	538	5	.	.	PUNCT
ejpam-6053	539	1	cellular	cellular	ADJ
ejpam-6053	539	2	and	and	CCONJ
ejpam-6053	539	3	molecular	molecular	ADJ
ejpam-6053	539	4	life	life	NOUN
ejpam-6053	539	5	sciences	science	NOUN
ejpam-6053	539	6	,	,	PUNCT
ejpam-6053	539	7	73(23):4433–4448	73(23):4433–4448	NUM
ejpam-6053	539	8	,	,	PUNCT
ejpam-6053	539	9	2016	2016	NUM
ejpam-6053	539	10	.	.	PUNCT
ejpam-6053	540	1	[	[	X
ejpam-6053	540	2	3	3	NUM
ejpam-6053	540	3	]	]	PUNCT
ejpam-6053	540	4	a.	a.	PROPN
ejpam-6053	540	5	s.	s.	PROPN
ejpam-6053	540	6	perelson	perelson	PROPN
ejpam-6053	540	7	.	.	PUNCT
ejpam-6053	541	1	modelling	model	VERB
ejpam-6053	541	2	viral	viral	ADJ
ejpam-6053	541	3	and	and	CCONJ
ejpam-6053	541	4	immune	immune	ADJ
ejpam-6053	541	5	system	system	NOUN
ejpam-6053	541	6	dynamics	dynamic	NOUN
ejpam-6053	541	7	.	.	PUNCT
ejpam-6053	542	1	nature	nature	NOUN
ejpam-6053	542	2	reviews	review	VERB
ejpam-6053	542	3	immunology	immunology	NOUN
ejpam-6053	542	4	,	,	PUNCT
ejpam-6053	542	5	2(1):28–36	2(1):28–36	NUM
ejpam-6053	542	6	,	,	PUNCT
ejpam-6053	542	7	2002	2002	NUM
ejpam-6053	542	8	.	.	PUNCT
ejpam-6053	543	1	[	[	X
ejpam-6053	543	2	4	4	NUM
ejpam-6053	543	3	]	]	X
ejpam-6053	543	4	j.-m	j.-m	NOUN
ejpam-6053	543	5	.	.	PUNCT
ejpam-6053	544	1	pawlotsky	pawlotsky	ADJ
ejpam-6053	544	2	.	.	PUNCT
ejpam-6053	545	1	hepatitis	hepatitis	PROPN
ejpam-6053	545	2	c	c	PROPN
ejpam-6053	545	3	virus	virus	PROPN
ejpam-6053	545	4	resistance	resistance	NOUN
ejpam-6053	545	5	to	to	ADP
ejpam-6053	545	6	direct	direct	ADJ
ejpam-6053	545	7	-	-	PUNCT
ejpam-6053	545	8	acting	act	VERB
ejpam-6053	545	9	antiviral	antiviral	ADJ
ejpam-6053	545	10	drugs	drug	NOUN
ejpam-6053	545	11	in	in	ADP
ejpam-6053	545	12	interferon	interferon	ADJ
ejpam-6053	545	13	-	-	PUNCT
ejpam-6053	545	14	free	free	ADJ
ejpam-6053	545	15	regimens	regimen	NOUN
ejpam-6053	545	16	.	.	PUNCT
ejpam-6053	546	1	gastroenterology	gastroenterology	NOUN
ejpam-6053	546	2	,	,	PUNCT
ejpam-6053	546	3	151(1):70–86	151(1):70–86	NUM
ejpam-6053	546	4	,	,	PUNCT
ejpam-6053	546	5	2016	2016	NUM
ejpam-6053	546	6	.	.	PUNCT
ejpam-6053	547	1	[	[	X
ejpam-6053	547	2	5	5	X
ejpam-6053	547	3	]	]	X
ejpam-6053	547	4	y.	y.	PROPN
ejpam-6053	547	5	cao	cao	PROPN
ejpam-6053	547	6	,	,	PUNCT
ejpam-6053	547	7	y.	y.	PROPN
ejpam-6053	547	8	bao	bao	PROPN
ejpam-6053	547	9	,	,	PUNCT
ejpam-6053	547	10	w.	w.	PROPN
ejpam-6053	547	11	xia	xia	PROPN
ejpam-6053	547	12	,	,	PUNCT
ejpam-6053	547	13	h.	h.	PROPN
ejpam-6053	547	14	wu	wu	PROPN
ejpam-6053	547	15	,	,	PUNCT
ejpam-6053	547	16	f.	f.	PROPN
ejpam-6053	547	17	wei	wei	PROPN
ejpam-6053	547	18	,	,	PUNCT
ejpam-6053	547	19	y.	y.	PROPN
ejpam-6053	547	20	zhang	zhang	PROPN
ejpam-6053	547	21	,	,	PUNCT
ejpam-6053	547	22	r.	r.	PROPN
ejpam-6053	547	23	zhang	zhang	PROPN
ejpam-6053	547	24	,	,	PUNCT
ejpam-6053	547	25	and	and	CCONJ
ejpam-6053	547	26	x.	x.	PROPN
ejpam-6053	547	27	xu	xu	PROPN
ejpam-6053	547	28	.	.	PUNCT
ejpam-6053	547	29	resistanceassociated	resistanceassociate	VERB
ejpam-6053	547	30	mutations	mutation	NOUN
ejpam-6053	547	31	to	to	PART
ejpam-6053	547	32	hcv	hcv	VERB
ejpam-6053	547	33	protease	protease	NOUN
ejpam-6053	547	34	inhibitors	inhibitor	NOUN
ejpam-6053	547	35	naturally	naturally	ADV
ejpam-6053	547	36	pre	pre	VERB
ejpam-6053	547	37	-	-	VERB
ejpam-6053	547	38	existed	exist	VERB
ejpam-6053	547	39	in	in	ADP
ejpam-6053	547	40	hiv	hiv	PROPN
ejpam-6053	547	41	/	/	SYM
ejpam-6053	547	42	hcv	hcv	PROPN
ejpam-6053	547	43	coinfected	coinfecte	VERB
ejpam-6053	547	44	,	,	PUNCT
ejpam-6053	547	45	treatment	treatment	NOUN
ejpam-6053	547	46	-	-	PUNCT
ejpam-6053	547	47	naive	naive	ADJ
ejpam-6053	547	48	patients	patient	NOUN
ejpam-6053	547	49	.	.	PUNCT
ejpam-6053	548	1	clinics	clinic	NOUN
ejpam-6053	548	2	and	and	CCONJ
ejpam-6053	548	3	research	research	NOUN
ejpam-6053	548	4	in	in	ADP
ejpam-6053	548	5	hepatology	hepatology	NOUN
ejpam-6053	548	6	and	and	CCONJ
ejpam-6053	548	7	gastroenterology	gastroenterology	NOUN
ejpam-6053	548	8	,	,	PUNCT
ejpam-6053	548	9	40(5):597–604	40(5):597–604	NUM
ejpam-6053	548	10	,	,	PUNCT
ejpam-6053	548	11	2016	2016	NUM
ejpam-6053	548	12	.	.	PUNCT
ejpam-6053	549	1	[	[	X
ejpam-6053	549	2	6	6	NUM
ejpam-6053	549	3	]	]	X
ejpam-6053	549	4	n.	n.	PROPN
ejpam-6053	549	5	coppola	coppola	PROPN
ejpam-6053	549	6	,	,	PUNCT
ejpam-6053	549	7	l.	l.	PROPN
ejpam-6053	549	8	onorato	onorato	PROPN
ejpam-6053	549	9	,	,	PUNCT
ejpam-6053	549	10	c.	c.	PROPN
ejpam-6053	549	11	minichini	minichini	PROPN
ejpam-6053	549	12	,	,	PUNCT
ejpam-6053	549	13	g.	g.	PROPN
ejpam-6053	549	14	di	di	PROPN
ejpam-6053	549	15	caprio	caprio	PROPN
ejpam-6053	549	16	,	,	PUNCT
ejpam-6053	549	17	m.	m.	NOUN
ejpam-6053	549	18	starace	starace	PROPN
ejpam-6053	549	19	,	,	PUNCT
ejpam-6053	549	20	c.	c.	PROPN
ejpam-6053	549	21	sagnelli	sagnelli	PROPN
ejpam-6053	549	22	,	,	PUNCT
ejpam-6053	549	23	and	and	CCONJ
ejpam-6053	549	24	e.	e.	PROPN
ejpam-6053	549	25	sagnelli	sagnelli	PROPN
ejpam-6053	549	26	.	.	PUNCT
ejpam-6053	550	1	clinical	clinical	ADJ
ejpam-6053	550	2	significance	significance	NOUN
ejpam-6053	550	3	of	of	ADP
ejpam-6053	550	4	hepatitis	hepatitis	PROPN
ejpam-6053	550	5	b	b	PROPN
ejpam-6053	550	6	surface	surface	NOUN
ejpam-6053	550	7	antigen	antigen	ADJ
ejpam-6053	550	8	mutants	mutant	NOUN
ejpam-6053	550	9	.	.	PUNCT
ejpam-6053	551	1	world	world	PROPN
ejpam-6053	551	2	journal	journal	PROPN
ejpam-6053	551	3	of	of	ADP
ejpam-6053	551	4	hepatology	hepatology	NOUN
ejpam-6053	551	5	,	,	PUNCT
ejpam-6053	551	6	7(27):2729–2739	7(27):2729–2739	NUM
ejpam-6053	551	7	,	,	PUNCT
ejpam-6053	551	8	2015	2015	NUM
ejpam-6053	551	9	.	.	PUNCT
ejpam-6053	552	1	[	[	X
ejpam-6053	552	2	7	7	X
ejpam-6053	552	3	]	]	X
ejpam-6053	552	4	w.	w.	PROPN
ejpam-6053	552	5	shao	shao	PROPN
ejpam-6053	552	6	,	,	PUNCT
ejpam-6053	552	7	x.	x.	PROPN
ejpam-6053	552	8	li	li	PROPN
ejpam-6053	552	9	,	,	PUNCT
ejpam-6053	552	10	m.	m.	PROPN
ejpam-6053	552	11	u.	u.	PROPN
ejpam-6053	552	12	goraya	goraya	PROPN
ejpam-6053	552	13	,	,	PUNCT
ejpam-6053	552	14	s.	s.	PROPN
ejpam-6053	552	15	wang	wang	PROPN
ejpam-6053	552	16	,	,	PUNCT
ejpam-6053	552	17	and	and	CCONJ
ejpam-6053	552	18	j.-l	j.-l	PROPN
ejpam-6053	552	19	.	.	PUNCT
ejpam-6053	553	1	chen	chen	PROPN
ejpam-6053	553	2	.	.	PUNCT
ejpam-6053	554	1	evolution	evolution	NOUN
ejpam-6053	554	2	of	of	ADP
ejpam-6053	554	3	influenza	influenza	NOUN
ejpam-6053	554	4	a	a	DET
ejpam-6053	554	5	virus	virus	NOUN
ejpam-6053	554	6	by	by	ADP
ejpam-6053	554	7	mutation	mutation	NOUN
ejpam-6053	554	8	and	and	CCONJ
ejpam-6053	554	9	re	re	NOUN
ejpam-6053	554	10	-	-	NOUN
ejpam-6053	554	11	assortment	assortment	NOUN
ejpam-6053	554	12	.	.	PUNCT
ejpam-6053	555	1	international	international	ADJ
ejpam-6053	555	2	journal	journal	NOUN
ejpam-6053	555	3	of	of	ADP
ejpam-6053	555	4	molecular	molecular	ADJ
ejpam-6053	555	5	sciences	science	NOUN
ejpam-6053	555	6	,	,	PUNCT
ejpam-6053	555	7	18(8):1650	18(8):1650	NUM
ejpam-6053	555	8	,	,	PUNCT
ejpam-6053	555	9	2017	2017	NUM
ejpam-6053	555	10	.	.	PUNCT
ejpam-6053	556	1	[	[	X
ejpam-6053	556	2	8	8	NUM
ejpam-6053	556	3	]	]	X
ejpam-6053	556	4	r.	r.	PROPN
ejpam-6053	556	5	chen	chen	PROPN
ejpam-6053	556	6	and	and	CCONJ
ejpam-6053	556	7	e.	e.	PROPN
ejpam-6053	556	8	c.	c.	PROPN
ejpam-6053	556	9	holmes	holmes	PROPN
ejpam-6053	556	10	.	.	PUNCT
ejpam-6053	557	1	avian	avian	ADJ
ejpam-6053	557	2	influenza	influenza	NOUN
ejpam-6053	557	3	virus	virus	NOUN
ejpam-6053	557	4	exhibits	exhibit	VERB
ejpam-6053	557	5	rapid	rapid	ADJ
ejpam-6053	557	6	evolutionary	evolutionary	ADJ
ejpam-6053	557	7	dynamics	dynamic	NOUN
ejpam-6053	557	8	.	.	PUNCT
ejpam-6053	558	1	molecular	molecular	ADJ
ejpam-6053	558	2	biology	biology	NOUN
ejpam-6053	558	3	and	and	CCONJ
ejpam-6053	558	4	evolution	evolution	NOUN
ejpam-6053	558	5	,	,	PUNCT
ejpam-6053	558	6	23(12):2336–2341	23(12):2336–2341	NUM
ejpam-6053	558	7	,	,	PUNCT
ejpam-6053	558	8	2006	2006	NUM
ejpam-6053	558	9	.	.	PUNCT
ejpam-6053	559	1	eiman	eiman	NOUN
ejpam-6053	559	2	et	et	PROPN
ejpam-6053	559	3	al	al	PROPN
ejpam-6053	559	4	.	.	PUNCT
ejpam-6053	559	5	/	/	SYM
ejpam-6053	559	6	eur	eur	PROPN
ejpam-6053	559	7	.	.	PUNCT
ejpam-6053	560	1	j.	j.	PROPN
ejpam-6053	560	2	pure	pure	PROPN
ejpam-6053	560	3	appl	appl	PROPN
ejpam-6053	560	4	.	.	PROPN
ejpam-6053	560	5	math	math	PROPN
ejpam-6053	560	6	,	,	PUNCT
ejpam-6053	560	7	18	18	NUM
ejpam-6053	560	8	(	(	PUNCT
ejpam-6053	560	9	2	2	NUM
ejpam-6053	560	10	)	)	PUNCT
ejpam-6053	560	11	(	(	PUNCT
ejpam-6053	560	12	2025	2025	NUM
ejpam-6053	560	13	)	)	PUNCT
ejpam-6053	560	14	,	,	PUNCT
ejpam-6053	560	15	6053	6053	NUM
ejpam-6053	560	16	25	25	NUM
ejpam-6053	560	17	of	of	ADP
ejpam-6053	560	18	26	26	NUM
ejpam-6053	560	19	[	[	X
ejpam-6053	560	20	9	9	NUM
ejpam-6053	560	21	]	]	PUNCT
ejpam-6053	560	22	j.	j.	PROPN
ejpam-6053	560	23	w.	w.	PROPN
ejpam-6053	560	24	drake	drake	PROPN
ejpam-6053	560	25	and	and	CCONJ
ejpam-6053	560	26	j.	j.	PROPN
ejpam-6053	560	27	j.	j.	PROPN
ejpam-6053	560	28	holland	holland	PROPN
ejpam-6053	560	29	.	.	PUNCT
ejpam-6053	561	1	mutation	mutation	NOUN
ejpam-6053	561	2	rates	rate	NOUN
ejpam-6053	561	3	among	among	ADP
ejpam-6053	561	4	rna	rna	NOUN
ejpam-6053	561	5	viruses	virus	NOUN
ejpam-6053	561	6	.	.	PUNCT
ejpam-6053	562	1	proceedings	proceeding	NOUN
ejpam-6053	562	2	of	of	ADP
ejpam-6053	562	3	the	the	DET
ejpam-6053	562	4	national	national	PROPN
ejpam-6053	562	5	academy	academy	PROPN
ejpam-6053	562	6	of	of	ADP
ejpam-6053	562	7	sciences	sciences	PROPN
ejpam-6053	562	8	,	,	PUNCT
ejpam-6053	562	9	96(24):13910–13913	96(24):13910–13913	NUM
ejpam-6053	562	10	,	,	PUNCT
ejpam-6053	562	11	1999	1999	NUM
ejpam-6053	562	12	.	.	PUNCT
ejpam-6053	563	1	[	[	X
ejpam-6053	563	2	10	10	NUM
ejpam-6053	563	3	]	]	X
ejpam-6053	563	4	j.	j.	PROPN
ejpam-6053	563	5	m.	m.	PROPN
ejpam-6053	563	6	malpica	malpica	PROPN
ejpam-6053	563	7	,	,	PUNCT
ejpam-6053	563	8	a.	a.	NOUN
ejpam-6053	563	9	fraile	fraile	PROPN
ejpam-6053	563	10	,	,	PUNCT
ejpam-6053	563	11	i.	i.	PROPN
ejpam-6053	563	12	moreno	moreno	PROPN
ejpam-6053	563	13	,	,	PUNCT
ejpam-6053	563	14	c.	c.	PROPN
ejpam-6053	563	15	i.	i.	PROPN
ejpam-6053	563	16	obies	obies	PROPN
ejpam-6053	563	17	,	,	PUNCT
ejpam-6053	563	18	j.	j.	PROPN
ejpam-6053	563	19	w.	w.	PROPN
ejpam-6053	563	20	drake	drake	PROPN
ejpam-6053	563	21	,	,	PUNCT
ejpam-6053	563	22	and	and	CCONJ
ejpam-6053	563	23	f.	f.	PROPN
ejpam-6053	563	24	garćıaarenal	garćıaarenal	PROPN
ejpam-6053	563	25	.	.	PUNCT
ejpam-6053	564	1	the	the	DET
ejpam-6053	564	2	rate	rate	NOUN
ejpam-6053	564	3	and	and	CCONJ
ejpam-6053	564	4	character	character	NOUN
ejpam-6053	564	5	of	of	ADP
ejpam-6053	564	6	spontaneous	spontaneous	ADJ
ejpam-6053	564	7	mutation	mutation	NOUN
ejpam-6053	564	8	in	in	ADP
ejpam-6053	564	9	an	an	DET
ejpam-6053	564	10	rna	rna	NOUN
ejpam-6053	564	11	virus	virus	NOUN
ejpam-6053	564	12	.	.	PUNCT
ejpam-6053	565	1	genetics	genetic	NOUN
ejpam-6053	565	2	,	,	PUNCT
ejpam-6053	565	3	162(4):1505–1511	162(4):1505–1511	PROPN
ejpam-6053	565	4	,	,	PUNCT
ejpam-6053	565	5	2002	2002	NUM
ejpam-6053	565	6	.	.	PUNCT
ejpam-6053	566	1	[	[	X
ejpam-6053	566	2	11	11	NUM
ejpam-6053	566	3	]	]	X
ejpam-6053	566	4	g.	g.	PROPN
ejpam-6053	566	5	wu	wu	PROPN
ejpam-6053	566	6	and	and	CCONJ
ejpam-6053	566	7	s.-m	s.-m	PROPN
ejpam-6053	566	8	.	.	PUNCT
ejpam-6053	567	1	yan	yan	PROPN
ejpam-6053	567	2	.	.	PUNCT
ejpam-6053	568	1	mutation	mutation	NOUN
ejpam-6053	568	2	trend	trend	NOUN
ejpam-6053	568	3	of	of	ADP
ejpam-6053	568	4	hemagglutinin	hemagglutinin	NOUN
ejpam-6053	568	5	of	of	ADP
ejpam-6053	568	6	influenza	influenza	NOUN
ejpam-6053	568	7	a	a	DET
ejpam-6053	568	8	virus	virus	NOUN
ejpam-6053	568	9	:	:	PUNCT
ejpam-6053	568	10	a	a	DET
ejpam-6053	568	11	review	review	NOUN
ejpam-6053	568	12	from	from	ADP
ejpam-6053	568	13	a	a	DET
ejpam-6053	568	14	computational	computational	ADJ
ejpam-6053	568	15	mutation	mutation	NOUN
ejpam-6053	568	16	viewpoint	viewpoint	NOUN
ejpam-6053	568	17	.	.	PUNCT
ejpam-6053	569	1	acta	acta	PROPN
ejpam-6053	569	2	pharmacologica	pharmacologica	PROPN
ejpam-6053	569	3	sinica	sinica	PROPN
ejpam-6053	569	4	,	,	PUNCT
ejpam-6053	569	5	27(5):513	27(5):513	NUM
ejpam-6053	569	6	–	–	PUNCT
ejpam-6053	569	7	526	526	NUM
ejpam-6053	569	8	,	,	PUNCT
ejpam-6053	569	9	2006	2006	NUM
ejpam-6053	569	10	.	.	PUNCT
ejpam-6053	570	1	[	[	X
ejpam-6053	570	2	12	12	NUM
ejpam-6053	570	3	]	]	PUNCT
ejpam-6053	570	4	k.-j	k.-j	PROPN
ejpam-6053	570	5	.	.	PUNCT
ejpam-6053	570	6	shan	shan	PROPN
ejpam-6053	570	7	,	,	PUNCT
ejpam-6053	570	8	c.	c.	PROPN
ejpam-6053	570	9	wei	wei	PROPN
ejpam-6053	570	10	,	,	PUNCT
ejpam-6053	570	11	y.	y.	PROPN
ejpam-6053	570	12	wang	wang	PROPN
ejpam-6053	570	13	,	,	PUNCT
ejpam-6053	570	14	q.	q.	PROPN
ejpam-6053	570	15	huan	huan	PROPN
ejpam-6053	570	16	,	,	PUNCT
ejpam-6053	570	17	and	and	CCONJ
ejpam-6053	570	18	w.	w.	PROPN
ejpam-6053	570	19	qian	qian	PROPN
ejpam-6053	570	20	.	.	PUNCT
ejpam-6053	571	1	host	host	NOUN
ejpam-6053	571	2	-	-	PUNCT
ejpam-6053	571	3	specific	specific	ADJ
ejpam-6053	571	4	asymmetric	asymmetric	ADJ
ejpam-6053	571	5	accumulation	accumulation	NOUN
ejpam-6053	571	6	of	of	ADP
ejpam-6053	571	7	mutation	mutation	NOUN
ejpam-6053	571	8	types	type	NOUN
ejpam-6053	571	9	reveals	reveal	VERB
ejpam-6053	571	10	that	that	SCONJ
ejpam-6053	571	11	the	the	DET
ejpam-6053	571	12	origin	origin	NOUN
ejpam-6053	571	13	of	of	ADP
ejpam-6053	571	14	sars	sar	NOUN
ejpam-6053	571	15	-	-	PUNCT
ejpam-6053	571	16	cov-2	cov-2	NOUN
ejpam-6053	571	17	is	be	AUX
ejpam-6053	571	18	consistent	consistent	ADJ
ejpam-6053	571	19	with	with	ADP
ejpam-6053	571	20	a	a	DET
ejpam-6053	571	21	natural	natural	ADJ
ejpam-6053	571	22	process	process	NOUN
ejpam-6053	571	23	.	.	PUNCT
ejpam-6053	572	1	the	the	DET
ejpam-6053	572	2	innovation	innovation	NOUN
ejpam-6053	572	3	,	,	PUNCT
ejpam-6053	572	4	2(4):100159	2(4):100159	NUM
ejpam-6053	572	5	,	,	PUNCT
ejpam-6053	572	6	2021	2021	NUM
ejpam-6053	572	7	.	.	PUNCT
ejpam-6053	573	1	[	[	X
ejpam-6053	573	2	13	13	NUM
ejpam-6053	573	3	]	]	PUNCT
ejpam-6053	573	4	l.	l.	PROPN
ejpam-6053	573	5	j.	j.	PROPN
ejpam-6053	573	6	klimczak	klimczak	PROPN
ejpam-6053	573	7	,	,	PUNCT
ejpam-6053	573	8	t.	t.	PROPN
ejpam-6053	573	9	a.	a.	PROPN
ejpam-6053	573	10	randall	randall	PROPN
ejpam-6053	573	11	,	,	PUNCT
ejpam-6053	573	12	n.	n.	PROPN
ejpam-6053	573	13	saini	saini	PROPN
ejpam-6053	573	14	,	,	PUNCT
ejpam-6053	573	15	j.-l	j.-l	PROPN
ejpam-6053	573	16	.	.	PUNCT
ejpam-6053	574	1	li	li	PROPN
ejpam-6053	574	2	,	,	PUNCT
ejpam-6053	574	3	and	and	CCONJ
ejpam-6053	574	4	d.	d.	PROPN
ejpam-6053	574	5	a.	a.	PROPN
ejpam-6053	574	6	gordenin	gordenin	PROPN
ejpam-6053	574	7	.	.	PUNCT
ejpam-6053	575	1	similarity	similarity	NOUN
ejpam-6053	575	2	between	between	ADP
ejpam-6053	575	3	mutation	mutation	NOUN
ejpam-6053	575	4	spectra	spectra	NOUN
ejpam-6053	575	5	in	in	ADP
ejpam-6053	575	6	hypermutated	hypermutate	VERB
ejpam-6053	575	7	genomes	genome	NOUN
ejpam-6053	575	8	of	of	ADP
ejpam-6053	575	9	rubella	rubella	NOUN
ejpam-6053	575	10	virus	virus	NOUN
ejpam-6053	575	11	and	and	CCONJ
ejpam-6053	575	12	in	in	ADP
ejpam-6053	575	13	sars	sar	NOUN
ejpam-6053	575	14	-	-	PUNCT
ejpam-6053	575	15	cov-2	cov-2	NOUN
ejpam-6053	575	16	genomes	genome	NOUN
ejpam-6053	575	17	accumulated	accumulate	VERB
ejpam-6053	575	18	during	during	ADP
ejpam-6053	575	19	the	the	DET
ejpam-6053	575	20	covid-19	covid-19	PROPN
ejpam-6053	575	21	pandemic	pandemic	NOUN
ejpam-6053	575	22	.	.	PUNCT
ejpam-6053	576	1	plos	plos	PROPN
ejpam-6053	576	2	one	one	NUM
ejpam-6053	576	3	,	,	PUNCT
ejpam-6053	576	4	15(10):e0237689	15(10):e0237689	NUM
ejpam-6053	576	5	,	,	PUNCT
ejpam-6053	576	6	2020	2020	NUM
ejpam-6053	576	7	.	.	PUNCT
ejpam-6053	577	1	[	[	X
ejpam-6053	577	2	14	14	NUM
ejpam-6053	577	3	]	]	PUNCT
ejpam-6053	577	4	r.	r.	PROPN
ejpam-6053	577	5	k.	k.	PROPN
ejpam-6053	577	6	pathan	pathan	PROPN
ejpam-6053	577	7	,	,	PUNCT
ejpam-6053	577	8	m.	m.	NOUN
ejpam-6053	577	9	biswas	biswas	PROPN
ejpam-6053	577	10	,	,	PUNCT
ejpam-6053	577	11	and	and	CCONJ
ejpam-6053	577	12	m.	m.	PROPN
ejpam-6053	577	13	u.	u.	PROPN
ejpam-6053	577	14	khandaker	khandaker	PROPN
ejpam-6053	577	15	.	.	PUNCT
ejpam-6053	578	1	time	time	PROPN
ejpam-6053	578	2	series	series	PROPN
ejpam-6053	578	3	prediction	prediction	NOUN
ejpam-6053	578	4	of	of	ADP
ejpam-6053	578	5	covid-19	covid-19	PROPN
ejpam-6053	578	6	by	by	ADP
ejpam-6053	578	7	mutation	mutation	NOUN
ejpam-6053	578	8	rate	rate	NOUN
ejpam-6053	578	9	analysis	analysis	NOUN
ejpam-6053	578	10	using	use	VERB
ejpam-6053	578	11	recurrent	recurrent	ADJ
ejpam-6053	578	12	neural	neural	ADJ
ejpam-6053	578	13	network	network	NOUN
ejpam-6053	578	14	-	-	PUNCT
ejpam-6053	578	15	based	base	VERB
ejpam-6053	578	16	lstm	lstm	PROPN
ejpam-6053	578	17	model	model	NOUN
ejpam-6053	578	18	.	.	PUNCT
ejpam-6053	579	1	chaos	chaos	NOUN
ejpam-6053	579	2	,	,	PUNCT
ejpam-6053	579	3	solitons	soliton	NOUN
ejpam-6053	579	4	&	&	CCONJ
ejpam-6053	579	5	fractals	fractal	NOUN
ejpam-6053	579	6	,	,	PUNCT
ejpam-6053	579	7	138:110018	138:110018	NUM
ejpam-6053	579	8	,	,	PUNCT
ejpam-6053	579	9	2020	2020	NUM
ejpam-6053	579	10	.	.	PUNCT
ejpam-6053	580	1	[	[	X
ejpam-6053	580	2	15	15	NUM
ejpam-6053	580	3	]	]	X
ejpam-6053	580	4	n.	n.	PROPN
ejpam-6053	580	5	d.	d.	PROPN
ejpam-6053	580	6	grubaugh	grubaugh	PROPN
ejpam-6053	580	7	,	,	PUNCT
ejpam-6053	580	8	w.	w.	PROPN
ejpam-6053	580	9	p.	p.	PROPN
ejpam-6053	580	10	hanage	hanage	NOUN
ejpam-6053	580	11	,	,	PUNCT
ejpam-6053	580	12	and	and	CCONJ
ejpam-6053	580	13	a.	a.	PROPN
ejpam-6053	580	14	l.	l.	PROPN
ejpam-6053	580	15	rasmussen	rasmussen	PROPN
ejpam-6053	580	16	.	.	PUNCT
ejpam-6053	581	1	making	make	VERB
ejpam-6053	581	2	sense	sense	NOUN
ejpam-6053	581	3	of	of	ADP
ejpam-6053	581	4	mutation	mutation	NOUN
ejpam-6053	581	5	:	:	PUNCT
ejpam-6053	581	6	what	what	PRON
ejpam-6053	581	7	d614	d614	PROPN
ejpam-6053	581	8	g	g	PROPN
ejpam-6053	581	9	means	mean	VERB
ejpam-6053	581	10	for	for	SCONJ
ejpam-6053	581	11	the	the	DET
ejpam-6053	581	12	covid-19	covid-19	PROPN
ejpam-6053	581	13	pandemic	pandemic	NOUN
ejpam-6053	581	14	remains	remain	VERB
ejpam-6053	581	15	unclear	unclear	ADJ
ejpam-6053	581	16	.	.	PUNCT
ejpam-6053	582	1	cell	cell	NOUN
ejpam-6053	582	2	,	,	PUNCT
ejpam-6053	582	3	182(4):794	182(4):794	NUM
ejpam-6053	582	4	–	–	PUNCT
ejpam-6053	582	5	795	795	NUM
ejpam-6053	582	6	,	,	PUNCT
ejpam-6053	582	7	2020	2020	NUM
ejpam-6053	582	8	.	.	PUNCT
ejpam-6053	583	1	[	[	X
ejpam-6053	583	2	16	16	NUM
ejpam-6053	583	3	]	]	X
ejpam-6053	583	4	o.	o.	NOUN
ejpam-6053	583	5	diekmann	diekmann	PROPN
ejpam-6053	583	6	and	and	CCONJ
ejpam-6053	583	7	j.	j.	PROPN
ejpam-6053	583	8	a.	a.	PROPN
ejpam-6053	583	9	p.	p.	PROPN
ejpam-6053	583	10	heesterbeek	heesterbeek	PROPN
ejpam-6053	583	11	.	.	PUNCT
ejpam-6053	584	1	mathematical	mathematical	ADJ
ejpam-6053	584	2	epidemiology	epidemiology	NOUN
ejpam-6053	584	3	of	of	ADP
ejpam-6053	584	4	infectious	infectious	ADJ
ejpam-6053	584	5	diseases	disease	NOUN
ejpam-6053	584	6	:	:	PUNCT
ejpam-6053	584	7	model	model	NOUN
ejpam-6053	584	8	building	building	NOUN
ejpam-6053	584	9	,	,	PUNCT
ejpam-6053	584	10	analysis	analysis	NOUN
ejpam-6053	584	11	and	and	CCONJ
ejpam-6053	584	12	interpretation	interpretation	NOUN
ejpam-6053	584	13	,	,	PUNCT
ejpam-6053	584	14	volume	volume	NOUN
ejpam-6053	584	15	5	5	NUM
ejpam-6053	584	16	of	of	ADP
ejpam-6053	584	17	wiley	wiley	PROPN
ejpam-6053	584	18	series	series	PROPN
ejpam-6053	584	19	in	in	ADP
ejpam-6053	584	20	mathematical	mathematical	ADJ
ejpam-6053	584	21	and	and	CCONJ
ejpam-6053	584	22	computational	computational	ADJ
ejpam-6053	584	23	biology	biology	NOUN
ejpam-6053	584	24	.	.	PUNCT
ejpam-6053	585	1	john	john	PROPN
ejpam-6053	585	2	wiley	wiley	PROPN
ejpam-6053	585	3	&	&	CCONJ
ejpam-6053	585	4	sons	sons	PROPN
ejpam-6053	585	5	,	,	PUNCT
ejpam-6053	585	6	chichester	chichester	PROPN
ejpam-6053	585	7	,	,	PUNCT
ejpam-6053	585	8	2000	2000	NUM
ejpam-6053	585	9	.	.	PUNCT
ejpam-6053	586	1	[	[	X
ejpam-6053	586	2	17	17	NUM
ejpam-6053	586	3	]	]	X
ejpam-6053	586	4	f.	f.	PROPN
ejpam-6053	586	5	brauer	brauer	PROPN
ejpam-6053	586	6	.	.	PUNCT
ejpam-6053	586	7	compartmental	compartmental	PROPN
ejpam-6053	586	8	models	model	NOUN
ejpam-6053	586	9	in	in	ADP
ejpam-6053	586	10	epidemiology	epidemiology	NOUN
ejpam-6053	586	11	.	.	PUNCT
ejpam-6053	587	1	in	in	ADP
ejpam-6053	587	2	mathematical	mathematical	ADJ
ejpam-6053	587	3	epidemiology	epidemiology	NOUN
ejpam-6053	587	4	,	,	PUNCT
ejpam-6053	587	5	pages	page	NOUN
ejpam-6053	587	6	19–79	19–79	ADV
ejpam-6053	587	7	.	.	PUNCT
ejpam-6053	587	8	springer	springer	NOUN
ejpam-6053	587	9	,	,	PUNCT
ejpam-6053	587	10	berlin	berlin	PROPN
ejpam-6053	587	11	,	,	PUNCT
ejpam-6053	587	12	2008	2008	NUM
ejpam-6053	587	13	.	.	PUNCT
ejpam-6053	588	1	[	[	X
ejpam-6053	588	2	18	18	NUM
ejpam-6053	588	3	]	]	PUNCT
ejpam-6053	588	4	p.	p.	PROPN
ejpam-6053	588	5	yan	yan	PROPN
ejpam-6053	588	6	and	and	CCONJ
ejpam-6053	588	7	g.	g.	PROPN
ejpam-6053	588	8	chowell	chowell	PROPN
ejpam-6053	588	9	.	.	PUNCT
ejpam-6053	589	1	beyond	beyond	ADP
ejpam-6053	589	2	the	the	DET
ejpam-6053	589	3	initial	initial	ADJ
ejpam-6053	589	4	phase	phase	NOUN
ejpam-6053	589	5	:	:	PUNCT
ejpam-6053	589	6	compartment	compartment	NOUN
ejpam-6053	589	7	models	model	NOUN
ejpam-6053	589	8	for	for	ADP
ejpam-6053	589	9	disease	disease	NOUN
ejpam-6053	589	10	transmission	transmission	NOUN
ejpam-6053	589	11	.	.	PUNCT
ejpam-6053	590	1	in	in	ADP
ejpam-6053	590	2	quantitative	quantitative	ADJ
ejpam-6053	590	3	methods	method	NOUN
ejpam-6053	590	4	for	for	ADP
ejpam-6053	590	5	investigating	investigate	VERB
ejpam-6053	590	6	infectious	infectious	ADJ
ejpam-6053	590	7	disease	disease	NOUN
ejpam-6053	590	8	outbreaks	outbreak	NOUN
ejpam-6053	590	9	,	,	PUNCT
ejpam-6053	590	10	pages	page	NOUN
ejpam-6053	590	11	135–182	135–182	NUM
ejpam-6053	590	12	.	.	PUNCT
ejpam-6053	590	13	springer	springer	NOUN
ejpam-6053	590	14	,	,	PUNCT
ejpam-6053	590	15	cham	cham	PROPN
ejpam-6053	590	16	,	,	PUNCT
ejpam-6053	590	17	2019	2019	NUM
ejpam-6053	590	18	.	.	PUNCT
ejpam-6053	591	1	[	[	X
ejpam-6053	591	2	19	19	NUM
ejpam-6053	591	3	]	]	PUNCT
ejpam-6053	591	4	m.	m.	NOUN
ejpam-6053	591	5	dalir	dalir	NOUN
ejpam-6053	591	6	and	and	CCONJ
ejpam-6053	591	7	m.	m.	NOUN
ejpam-6053	591	8	bashour	bashour	PROPN
ejpam-6053	591	9	.	.	PUNCT
ejpam-6053	592	1	applications	application	NOUN
ejpam-6053	592	2	of	of	ADP
ejpam-6053	592	3	fractional	fractional	ADJ
ejpam-6053	592	4	calculus	calculus	NOUN
ejpam-6053	592	5	.	.	PUNCT
ejpam-6053	593	1	applied	apply	VERB
ejpam-6053	593	2	mathematical	mathematical	ADJ
ejpam-6053	593	3	sciences	sciences	PROPN
ejpam-6053	593	4	,	,	PUNCT
ejpam-6053	593	5	4(21):1021–1032	4(21):1021–1032	NUM
ejpam-6053	593	6	,	,	PUNCT
ejpam-6053	593	7	2010	2010	NUM
ejpam-6053	593	8	.	.	PUNCT
ejpam-6053	594	1	[	[	X
ejpam-6053	594	2	20	20	NUM
ejpam-6053	594	3	]	]	PUNCT
ejpam-6053	594	4	r.	r.	PROPN
ejpam-6053	594	5	l.	l.	PROPN
ejpam-6053	594	6	magin	magin	PROPN
ejpam-6053	594	7	.	.	PUNCT
ejpam-6053	595	1	fractional	fractional	ADJ
ejpam-6053	595	2	calculus	calculus	NOUN
ejpam-6053	595	3	in	in	ADP
ejpam-6053	595	4	bioengineering	bioengineering	NOUN
ejpam-6053	595	5	,	,	PUNCT
ejpam-6053	595	6	part	part	NOUN
ejpam-6053	595	7	1	1	NUM
ejpam-6053	595	8	.	.	PUNCT
ejpam-6053	596	1	critical	critical	ADJ
ejpam-6053	596	2	reviews	review	NOUN
ejpam-6053	596	3	in	in	ADP
ejpam-6053	596	4	biomedical	biomedical	ADJ
ejpam-6053	596	5	engineering	engineering	NOUN
ejpam-6053	596	6	,	,	PUNCT
ejpam-6053	596	7	32(1):1–104	32(1):1–104	PROPN
ejpam-6053	596	8	,	,	PUNCT
ejpam-6053	596	9	2004	2004	NUM
ejpam-6053	596	10	.	.	PUNCT
ejpam-6053	597	1	[	[	X
ejpam-6053	597	2	21	21	NUM
ejpam-6053	597	3	]	]	X
ejpam-6053	597	4	y.	y.	PROPN
ejpam-6053	597	5	a.	a.	PROPN
ejpam-6053	597	6	rossikhin	rossikhin	PROPN
ejpam-6053	597	7	and	and	CCONJ
ejpam-6053	597	8	m.	m.	NOUN
ejpam-6053	597	9	v.	v.	ADP
ejpam-6053	597	10	shitikova	shitikova	PROPN
ejpam-6053	597	11	.	.	PUNCT
ejpam-6053	598	1	applications	application	NOUN
ejpam-6053	598	2	of	of	ADP
ejpam-6053	598	3	fractional	fractional	ADJ
ejpam-6053	598	4	calculus	calculus	NOUN
ejpam-6053	598	5	to	to	ADP
ejpam-6053	598	6	dynamic	dynamic	ADJ
ejpam-6053	598	7	problems	problem	NOUN
ejpam-6053	598	8	of	of	ADP
ejpam-6053	598	9	linear	linear	PROPN
ejpam-6053	598	10	and	and	CCONJ
ejpam-6053	598	11	nonlinear	nonlinear	ADJ
ejpam-6053	598	12	hereditary	hereditary	ADJ
ejpam-6053	598	13	mechanics	mechanic	NOUN
ejpam-6053	598	14	of	of	ADP
ejpam-6053	598	15	solids	solid	NOUN
ejpam-6053	598	16	.	.	PUNCT
ejpam-6053	599	1	applied	apply	VERB
ejpam-6053	599	2	mechanics	mechanic	NOUN
ejpam-6053	599	3	reviews	review	NOUN
ejpam-6053	599	4	,	,	PUNCT
ejpam-6053	599	5	50(1):15–67	50(1):15–67	NUM
ejpam-6053	599	6	,	,	PUNCT
ejpam-6053	599	7	1997	1997	NUM
ejpam-6053	599	8	.	.	PUNCT
ejpam-6053	600	1	[	[	X
ejpam-6053	600	2	22	22	NUM
ejpam-6053	600	3	]	]	PUNCT
ejpam-6053	600	4	a.	a.	NOUN
ejpam-6053	600	5	atangana	atangana	PROPN
ejpam-6053	600	6	and	and	CCONJ
ejpam-6053	600	7	s.	s.	PROPN
ejpam-6053	600	8	i̇ğret	i̇ğret	PROPN
ejpam-6053	600	9	araz	araz	PROPN
ejpam-6053	600	10	.	.	PUNCT
ejpam-6053	601	1	mathematical	mathematical	ADJ
ejpam-6053	601	2	model	model	NOUN
ejpam-6053	601	3	of	of	ADP
ejpam-6053	601	4	covid-19	covid-19	PROPN
ejpam-6053	601	5	spread	spread	VERB
ejpam-6053	601	6	in	in	ADP
ejpam-6053	601	7	turkey	turkey	PROPN
ejpam-6053	601	8	and	and	CCONJ
ejpam-6053	601	9	south	south	PROPN
ejpam-6053	601	10	africa	africa	PROPN
ejpam-6053	601	11	:	:	PUNCT
ejpam-6053	602	1	theory	theory	NOUN
ejpam-6053	602	2	,	,	PUNCT
ejpam-6053	602	3	methods	method	NOUN
ejpam-6053	602	4	,	,	PUNCT
ejpam-6053	602	5	and	and	CCONJ
ejpam-6053	602	6	applications	application	NOUN
ejpam-6053	602	7	.	.	PUNCT
ejpam-6053	603	1	advances	advance	NOUN
ejpam-6053	603	2	in	in	ADP
ejpam-6053	603	3	difference	difference	NOUN
ejpam-6053	603	4	equations	equation	NOUN
ejpam-6053	603	5	,	,	PUNCT
ejpam-6053	603	6	2020:659	2020:659	NUM
ejpam-6053	603	7	,	,	PUNCT
ejpam-6053	603	8	2020	2020	NUM
ejpam-6053	603	9	.	.	PUNCT
ejpam-6053	604	1	[	[	X
ejpam-6053	604	2	23	23	NUM
ejpam-6053	604	3	]	]	X
ejpam-6053	604	4	s.	s.	PROPN
ejpam-6053	604	5	kasereka	kasereka	PROPN
ejpam-6053	604	6	kabunga	kabunga	PROPN
ejpam-6053	604	7	,	,	PUNCT
ejpam-6053	604	8	e.	e.	PROPN
ejpam-6053	604	9	f.	f.	PROPN
ejpam-6053	604	10	doungmo	doungmo	PROPN
ejpam-6053	604	11	goufo	goufo	PROPN
ejpam-6053	604	12	,	,	PUNCT
ejpam-6053	604	13	and	and	CCONJ
ejpam-6053	604	14	v.	v.	ADP
ejpam-6053	604	15	ho	ho	PROPN
ejpam-6053	604	16	tuong	tuong	PROPN
ejpam-6053	604	17	.	.	PUNCT
ejpam-6053	605	1	analysis	analysis	NOUN
ejpam-6053	605	2	and	and	CCONJ
ejpam-6053	605	3	simulation	simulation	NOUN
ejpam-6053	605	4	of	of	ADP
ejpam-6053	605	5	a	a	DET
ejpam-6053	605	6	mathematical	mathematical	ADJ
ejpam-6053	605	7	model	model	NOUN
ejpam-6053	605	8	of	of	ADP
ejpam-6053	605	9	tuberculosis	tuberculosis	NOUN
ejpam-6053	605	10	transmission	transmission	NOUN
ejpam-6053	605	11	in	in	ADP
ejpam-6053	605	12	democratic	democratic	ADJ
ejpam-6053	605	13	republic	republic	NOUN
ejpam-6053	605	14	of	of	ADP
ejpam-6053	605	15	the	the	DET
ejpam-6053	605	16	congo	congo	NOUN
ejpam-6053	605	17	.	.	PUNCT
ejpam-6053	606	1	advances	advance	NOUN
ejpam-6053	606	2	in	in	ADP
ejpam-6053	606	3	difference	difference	NOUN
ejpam-6053	606	4	equations	equation	NOUN
ejpam-6053	606	5	,	,	PUNCT
ejpam-6053	606	6	2020(1):642	2020(1):642	NUM
ejpam-6053	606	7	,	,	PUNCT
ejpam-6053	606	8	2020	2020	NUM
ejpam-6053	606	9	.	.	PUNCT
ejpam-6053	607	1	[	[	X
ejpam-6053	607	2	24	24	NUM
ejpam-6053	607	3	]	]	PUNCT
ejpam-6053	607	4	a.	a.	NOUN
ejpam-6053	607	5	s.	s.	PROPN
ejpam-6053	607	6	baazeem	baazeem	PROPN
ejpam-6053	607	7	,	,	PUNCT
ejpam-6053	607	8	y.	y.	NOUN
ejpam-6053	607	9	nawaz	nawaz	PROPN
ejpam-6053	607	10	,	,	PUNCT
ejpam-6053	607	11	m.	m.	NOUN
ejpam-6053	607	12	s.	s.	PROPN
ejpam-6053	607	13	arif	arif	PROPN
ejpam-6053	607	14	,	,	PUNCT
ejpam-6053	607	15	k.	k.	PROPN
ejpam-6053	607	16	abodayeh	abodayeh	PROPN
ejpam-6053	607	17	,	,	PUNCT
ejpam-6053	607	18	and	and	CCONJ
ejpam-6053	607	19	m.	m.	PROPN
ejpam-6053	607	20	a.	a.	PROPN
ejpam-6053	607	21	alhamrani	alhamrani	PROPN
ejpam-6053	607	22	.	.	PUNCT
ejpam-6053	608	1	modelling	model	VERB
ejpam-6053	608	2	eiman	eiman	NOUN
ejpam-6053	608	3	et	et	PROPN
ejpam-6053	608	4	al	al	PROPN
ejpam-6053	608	5	.	.	PUNCT
ejpam-6053	608	6	/	/	SYM
ejpam-6053	608	7	eur	eur	PROPN
ejpam-6053	608	8	.	.	PUNCT
ejpam-6053	609	1	j.	j.	PROPN
ejpam-6053	609	2	pure	pure	PROPN
ejpam-6053	609	3	appl	appl	PROPN
ejpam-6053	609	4	.	.	PROPN
ejpam-6053	609	5	math	math	PROPN
ejpam-6053	609	6	,	,	PUNCT
ejpam-6053	609	7	18	18	NUM
ejpam-6053	609	8	(	(	PUNCT
ejpam-6053	609	9	2	2	NUM
ejpam-6053	609	10	)	)	PUNCT
ejpam-6053	609	11	(	(	PUNCT
ejpam-6053	609	12	2025	2025	NUM
ejpam-6053	609	13	)	)	PUNCT
ejpam-6053	609	14	,	,	PUNCT
ejpam-6053	609	15	6053	6053	NUM
ejpam-6053	609	16	26	26	NUM
ejpam-6053	609	17	of	of	ADP
ejpam-6053	609	18	26	26	NUM
ejpam-6053	609	19	infectious	infectious	ADJ
ejpam-6053	609	20	disease	disease	NOUN
ejpam-6053	609	21	dynamics	dynamic	NOUN
ejpam-6053	609	22	:	:	PUNCT
ejpam-6053	609	23	a	a	DET
ejpam-6053	609	24	robust	robust	ADJ
ejpam-6053	609	25	computational	computational	ADJ
ejpam-6053	609	26	approach	approach	NOUN
ejpam-6053	609	27	for	for	ADP
ejpam-6053	609	28	stochastic	stochastic	ADJ
ejpam-6053	609	29	sirs	sir	NOUN
ejpam-6053	609	30	with	with	ADP
ejpam-6053	609	31	partial	partial	ADJ
ejpam-6053	609	32	immunity	immunity	NOUN
ejpam-6053	609	33	and	and	CCONJ
ejpam-6053	609	34	an	an	DET
ejpam-6053	609	35	incidence	incidence	NOUN
ejpam-6053	609	36	rate	rate	NOUN
ejpam-6053	609	37	.	.	PUNCT
ejpam-6053	610	1	mathematics	mathematic	NOUN
ejpam-6053	610	2	,	,	PUNCT
ejpam-6053	610	3	11(23):4794	11(23):4794	NUM
ejpam-6053	610	4	,	,	PUNCT
ejpam-6053	610	5	2023	2023	NUM
ejpam-6053	610	6	.	.	PUNCT
ejpam-6053	611	1	[	[	X
ejpam-6053	611	2	25	25	NUM
ejpam-6053	611	3	]	]	PUNCT
ejpam-6053	611	4	m.	m.	PROPN
ejpam-6053	611	5	s.	s.	PROPN
ejpam-6053	611	6	arif	arif	PROPN
ejpam-6053	611	7	,	,	PUNCT
ejpam-6053	611	8	k.	k.	PROPN
ejpam-6053	611	9	abodayeh	abodayeh	PROPN
ejpam-6053	611	10	,	,	PUNCT
ejpam-6053	611	11	and	and	CCONJ
ejpam-6053	611	12	y.	y.	NOUN
ejpam-6053	611	13	nawaz	nawaz	PROPN
ejpam-6053	611	14	.	.	PUNCT
ejpam-6053	612	1	a	a	DET
ejpam-6053	612	2	reliable	reliable	ADJ
ejpam-6053	612	3	computational	computational	ADJ
ejpam-6053	612	4	scheme	scheme	NOUN
ejpam-6053	612	5	for	for	ADP
ejpam-6053	612	6	stochastic	stochastic	ADJ
ejpam-6053	612	7	reaction	reaction	NOUN
ejpam-6053	612	8	-	-	PUNCT
ejpam-6053	612	9	diffusion	diffusion	NOUN
ejpam-6053	612	10	nonlinear	nonlinear	PROPN
ejpam-6053	612	11	chemical	chemical	PROPN
ejpam-6053	612	12	model	model	NOUN
ejpam-6053	612	13	.	.	PUNCT
ejpam-6053	613	1	axioms	axiom	NOUN
ejpam-6053	613	2	,	,	PUNCT
ejpam-6053	613	3	12(5):460	12(5):460	NUM
ejpam-6053	613	4	,	,	PUNCT
ejpam-6053	613	5	2023	2023	NUM
ejpam-6053	613	6	.	.	PUNCT
ejpam-6053	614	1	[	[	X
ejpam-6053	614	2	26	26	NUM
ejpam-6053	614	3	]	]	PUNCT
ejpam-6053	614	4	m.	m.	NOUN
ejpam-6053	614	5	t.	t.	PROPN
ejpam-6053	614	6	hoang	hoang	PROPN
ejpam-6053	614	7	and	and	CCONJ
ejpam-6053	614	8	o.	o.	PROPN
ejpam-6053	614	9	f.	f.	PROPN
ejpam-6053	614	10	egbelowo	egbelowo	PROPN
ejpam-6053	614	11	.	.	PUNCT
ejpam-6053	615	1	dynamics	dynamic	NOUN
ejpam-6053	615	2	of	of	ADP
ejpam-6053	615	3	a	a	DET
ejpam-6053	615	4	fractional	fractional	ADJ
ejpam-6053	615	5	-	-	PUNCT
ejpam-6053	615	6	order	order	NOUN
ejpam-6053	615	7	hepatitis	hepatitis	PROPN
ejpam-6053	615	8	b	b	PROPN
ejpam-6053	615	9	epidemic	epidemic	NOUN
ejpam-6053	615	10	model	model	NOUN
ejpam-6053	615	11	and	and	CCONJ
ejpam-6053	615	12	its	its	PRON
ejpam-6053	615	13	solutions	solution	NOUN
ejpam-6053	615	14	by	by	ADP
ejpam-6053	615	15	nonstandard	nonstandard	ADJ
ejpam-6053	615	16	numerical	numerical	ADJ
ejpam-6053	615	17	schemes	scheme	NOUN
ejpam-6053	615	18	.	.	PUNCT
ejpam-6053	616	1	in	in	ADP
ejpam-6053	616	2	mathematical	mathematical	ADJ
ejpam-6053	616	3	modelling	modelling	NOUN
ejpam-6053	616	4	and	and	CCONJ
ejpam-6053	616	5	analysis	analysis	NOUN
ejpam-6053	616	6	of	of	ADP
ejpam-6053	616	7	infectious	infectious	ADJ
ejpam-6053	616	8	diseases	disease	NOUN
ejpam-6053	616	9	,	,	PUNCT
ejpam-6053	616	10	pages	page	NOUN
ejpam-6053	616	11	127–153	127–153	NUM
ejpam-6053	616	12	.	.	PUNCT
ejpam-6053	616	13	springer	springer	NOUN
ejpam-6053	616	14	,	,	PUNCT
ejpam-6053	616	15	cham	cham	PROPN
ejpam-6053	616	16	,	,	PUNCT
ejpam-6053	616	17	2020	2020	NUM
ejpam-6053	616	18	.	.	PUNCT
ejpam-6053	617	1	[	[	X
ejpam-6053	617	2	27	27	NUM
ejpam-6053	617	3	]	]	X
ejpam-6053	617	4	h.	h.	PROPN
ejpam-6053	617	5	khan	khan	PROPN
ejpam-6053	617	6	,	,	PUNCT
ejpam-6053	617	7	j.	j.	PROPN
ejpam-6053	617	8	alzabut	alzabut	PROPN
ejpam-6053	617	9	,	,	PUNCT
ejpam-6053	617	10	d.	d.	PROPN
ejpam-6053	617	11	k.	k.	PROPN
ejpam-6053	617	12	almutairi	almutairi	PROPN
ejpam-6053	617	13	,	,	PUNCT
ejpam-6053	617	14	and	and	CCONJ
ejpam-6053	617	15	w.	w.	PROPN
ejpam-6053	617	16	k.	k.	PROPN
ejpam-6053	617	17	alqurashi	alqurashi	PROPN
ejpam-6053	617	18	.	.	PUNCT
ejpam-6053	618	1	the	the	DET
ejpam-6053	618	2	use	use	NOUN
ejpam-6053	618	3	of	of	ADP
ejpam-6053	618	4	artificial	artificial	ADJ
ejpam-6053	618	5	intelligence	intelligence	NOUN
ejpam-6053	618	6	in	in	ADP
ejpam-6053	618	7	data	datum	NOUN
ejpam-6053	618	8	analysis	analysis	NOUN
ejpam-6053	618	9	with	with	ADP
ejpam-6053	618	10	error	error	NOUN
ejpam-6053	618	11	recognitions	recognition	NOUN
ejpam-6053	618	12	in	in	ADP
ejpam-6053	618	13	liver	liver	NOUN
ejpam-6053	618	14	transplantation	transplantation	NOUN
ejpam-6053	618	15	in	in	ADP
ejpam-6053	618	16	hivaids	hivaids	ADJ
ejpam-6053	618	17	patients	patient	NOUN
ejpam-6053	618	18	using	use	VERB
ejpam-6053	618	19	modified	modify	VERB
ejpam-6053	618	20	abc	abc	PROPN
ejpam-6053	618	21	fractional	fractional	ADJ
ejpam-6053	618	22	order	order	NOUN
ejpam-6053	618	23	operators	operator	NOUN
ejpam-6053	618	24	.	.	PUNCT
ejpam-6053	619	1	fractal	fractal	ADJ
ejpam-6053	619	2	and	and	CCONJ
ejpam-6053	619	3	fractional	fractional	ADJ
ejpam-6053	619	4	,	,	PUNCT
ejpam-6053	619	5	9(1):38	9(1):38	NUM
ejpam-6053	619	6	,	,	PUNCT
ejpam-6053	619	7	2025	2025	NUM
ejpam-6053	619	8	.	.	PUNCT
ejpam-6053	620	1	[	[	X
ejpam-6053	620	2	28	28	NUM
ejpam-6053	620	3	]	]	X
ejpam-6053	620	4	a.	a.	NOUN
ejpam-6053	620	5	atangana	atangana	PROPN
ejpam-6053	620	6	and	and	CCONJ
ejpam-6053	620	7	s.	s.	PROPN
ejpam-6053	620	8	i̇ğret	i̇ğret	PROPN
ejpam-6053	620	9	araz	araz	NOUN
ejpam-6053	620	10	.	.	PUNCT
ejpam-6053	621	1	new	new	ADJ
ejpam-6053	621	2	concept	concept	NOUN
ejpam-6053	621	3	in	in	ADP
ejpam-6053	621	4	calculus	calculus	NOUN
ejpam-6053	621	5	:	:	PUNCT
ejpam-6053	621	6	piecewise	piecewise	NOUN
ejpam-6053	621	7	differential	differential	NOUN
ejpam-6053	621	8	and	and	CCONJ
ejpam-6053	621	9	integral	integral	ADJ
ejpam-6053	621	10	operators	operator	NOUN
ejpam-6053	621	11	.	.	PUNCT
ejpam-6053	622	1	chaos	chaos	NOUN
ejpam-6053	622	2	,	,	PUNCT
ejpam-6053	622	3	solitons	soliton	NOUN
ejpam-6053	622	4	&	&	CCONJ
ejpam-6053	622	5	fractals	fractal	NOUN
ejpam-6053	622	6	,	,	PUNCT
ejpam-6053	622	7	145:110638	145:110638	NUM
ejpam-6053	622	8	,	,	PUNCT
ejpam-6053	622	9	2021	2021	NUM
ejpam-6053	622	10	.	.	PUNCT
ejpam-6053	623	1	[	[	X
ejpam-6053	623	2	29	29	NUM
ejpam-6053	623	3	]	]	PUNCT
ejpam-6053	623	4	k.	k.	PROPN
ejpam-6053	623	5	shah	shah	PROPN
ejpam-6053	623	6	,	,	PUNCT
ejpam-6053	623	7	t.	t.	NOUN
ejpam-6053	623	8	abdeljawad	abdeljawad	NOUN
ejpam-6053	623	9	,	,	PUNCT
ejpam-6053	623	10	and	and	CCONJ
ejpam-6053	623	11	a.	a.	PROPN
ejpam-6053	623	12	ali	ali	PROPN
ejpam-6053	623	13	.	.	PROPN
ejpam-6053	624	1	mathematical	mathematical	ADJ
ejpam-6053	624	2	analysis	analysis	NOUN
ejpam-6053	624	3	of	of	ADP
ejpam-6053	624	4	the	the	DET
ejpam-6053	624	5	cauchy	cauchy	ADJ
ejpam-6053	624	6	type	type	NOUN
ejpam-6053	624	7	dynamical	dynamical	ADJ
ejpam-6053	624	8	system	system	NOUN
ejpam-6053	624	9	under	under	ADP
ejpam-6053	624	10	piecewise	piecewise	NOUN
ejpam-6053	624	11	equations	equation	NOUN
ejpam-6053	624	12	with	with	ADP
ejpam-6053	624	13	caputo	caputo	PROPN
ejpam-6053	624	14	fractional	fractional	PROPN
ejpam-6053	624	15	derivative	derivative	PROPN
ejpam-6053	624	16	.	.	PUNCT
ejpam-6053	625	1	chaos	chaos	NOUN
ejpam-6053	625	2	,	,	PUNCT
ejpam-6053	625	3	solitons	soliton	NOUN
ejpam-6053	625	4	&	&	CCONJ
ejpam-6053	625	5	fractals	fractal	NOUN
ejpam-6053	625	6	,	,	PUNCT
ejpam-6053	625	7	161:112356	161:112356	NUM
ejpam-6053	625	8	,	,	PUNCT
ejpam-6053	625	9	2022	2022	NUM
ejpam-6053	625	10	.	.	PUNCT
ejpam-6053	626	1	[	[	X
ejpam-6053	626	2	30	30	NUM
ejpam-6053	626	3	]	]	PUNCT
ejpam-6053	626	4	j.	j.	PROPN
ejpam-6053	626	5	ma	ma	PROPN
ejpam-6053	626	6	,	,	PUNCT
ejpam-6053	626	7	s.	s.	PROPN
ejpam-6053	626	8	ma	ma	PROPN
ejpam-6053	626	9	,	,	PUNCT
ejpam-6053	626	10	x.	x.	PROPN
ejpam-6053	626	11	bai	bai	PROPN
ejpam-6053	626	12	,	,	PUNCT
ejpam-6053	626	13	and	and	CCONJ
ejpam-6053	626	14	j.	j.	PROPN
ejpam-6053	626	15	ran	run	VERB
ejpam-6053	626	16	.	.	PUNCT
ejpam-6053	627	1	ergodic	ergodic	ADJ
ejpam-6053	627	2	stationary	stationary	ADJ
ejpam-6053	627	3	distribution	distribution	NOUN
ejpam-6053	627	4	of	of	ADP
ejpam-6053	627	5	stochastic	stochastic	ADJ
ejpam-6053	627	6	virus	virus	NOUN
ejpam-6053	627	7	mutation	mutation	NOUN
ejpam-6053	627	8	model	model	NOUN
ejpam-6053	627	9	with	with	ADP
ejpam-6053	627	10	time	time	NOUN
ejpam-6053	627	11	delay	delay	NOUN
ejpam-6053	627	12	.	.	PUNCT
ejpam-6053	628	1	aims	aim	VERB
ejpam-6053	628	2	mathematics	mathematic	NOUN
ejpam-6053	628	3	,	,	PUNCT
ejpam-6053	628	4	8(9):21371–21392	8(9):21371–21392	NUM
ejpam-6053	628	5	,	,	PUNCT
ejpam-6053	628	6	2023	2023	NUM
ejpam-6053	628	7	.	.	PUNCT
ejpam-6053	629	1	[	[	X
ejpam-6053	629	2	31	31	NUM
ejpam-6053	629	3	]	]	PUNCT
ejpam-6053	629	4	p.	p.	NOUN
ejpam-6053	629	5	van	van	PROPN
ejpam-6053	629	6	den	den	PROPN
ejpam-6053	629	7	driessche	driessche	NOUN
ejpam-6053	629	8	and	and	CCONJ
ejpam-6053	629	9	j.	j.	PROPN
ejpam-6053	629	10	watmough	watmough	PROPN
ejpam-6053	629	11	.	.	PUNCT
ejpam-6053	630	1	reproduction	reproduction	NOUN
ejpam-6053	630	2	numbers	number	NOUN
ejpam-6053	630	3	and	and	CCONJ
ejpam-6053	630	4	sub	sub	ADJ
ejpam-6053	630	5	-	-	ADJ
ejpam-6053	630	6	threshold	threshold	ADJ
ejpam-6053	630	7	endemic	endemic	ADJ
ejpam-6053	630	8	equilibria	equilibrium	NOUN
ejpam-6053	630	9	for	for	ADP
ejpam-6053	630	10	compartmental	compartmental	ADJ
ejpam-6053	630	11	models	model	NOUN
ejpam-6053	630	12	of	of	ADP
ejpam-6053	630	13	disease	disease	NOUN
ejpam-6053	630	14	transmission	transmission	NOUN
ejpam-6053	630	15	.	.	PUNCT
ejpam-6053	631	1	mathematical	mathematical	ADJ
ejpam-6053	631	2	biosciences	bioscience	NOUN
ejpam-6053	631	3	,	,	PUNCT
ejpam-6053	631	4	180(1	180(1	NUM
ejpam-6053	631	5	-	-	SYM
ejpam-6053	631	6	2):29–48	2):29–48	NUM
ejpam-6053	631	7	,	,	PUNCT
ejpam-6053	631	8	2002	2002	NUM
ejpam-6053	631	9	.	.	PUNCT
ejpam-6053	632	1	[	[	X
ejpam-6053	632	2	32	32	NUM
ejpam-6053	632	3	]	]	PUNCT
ejpam-6053	632	4	c.	c.	PROPN
ejpam-6053	632	5	vargas	vargas	PROPN
ejpam-6053	632	6	-	-	PUNCT
ejpam-6053	632	7	de	de	NOUN
ejpam-6053	632	8	-	-	NOUN
ejpam-6053	632	9	león	león	PROPN
ejpam-6053	632	10	.	.	PUNCT
ejpam-6053	632	11	volterra	volterra	NOUN
ejpam-6053	632	12	-	-	PUNCT
ejpam-6053	632	13	type	type	NOUN
ejpam-6053	632	14	lyapunov	lyapunov	NOUN
ejpam-6053	632	15	functions	function	NOUN
ejpam-6053	632	16	for	for	ADP
ejpam-6053	632	17	fractional	fractional	ADJ
ejpam-6053	632	18	-	-	PUNCT
ejpam-6053	632	19	order	order	NOUN
ejpam-6053	632	20	epidemic	epidemic	NOUN
ejpam-6053	632	21	systems	system	NOUN
ejpam-6053	632	22	.	.	PUNCT
ejpam-6053	633	1	communications	communication	NOUN
ejpam-6053	633	2	in	in	ADP
ejpam-6053	633	3	nonlinear	nonlinear	ADJ
ejpam-6053	633	4	science	science	NOUN
ejpam-6053	633	5	and	and	CCONJ
ejpam-6053	633	6	numerical	numerical	PROPN
ejpam-6053	633	7	simulation	simulation	PROPN
ejpam-6053	633	8	,	,	PUNCT
ejpam-6053	633	9	24(13):75–85	24(13):75–85	NUM
ejpam-6053	633	10	,	,	PUNCT
ejpam-6053	633	11	2015	2015	NUM
ejpam-6053	633	12	.	.	PUNCT
ejpam-6053	634	1	[	[	X
ejpam-6053	634	2	33	33	NUM
ejpam-6053	634	3	]	]	PUNCT
ejpam-6053	634	4	m.	m.	NOUN
ejpam-6053	634	5	m.	m.	PROPN
ejpam-6053	634	6	belhamiti	belhamiti	PROPN
ejpam-6053	634	7	,	,	PUNCT
ejpam-6053	634	8	z.	z.	PROPN
ejpam-6053	634	9	dahmani	dahmani	PROPN
ejpam-6053	634	10	,	,	PUNCT
ejpam-6053	634	11	j.	j.	PROPN
ejpam-6053	634	12	alzabut	alzabut	PROPN
ejpam-6053	634	13	,	,	PUNCT
ejpam-6053	634	14	d.	d.	PROPN
ejpam-6053	634	15	k.	k.	PROPN
ejpam-6053	634	16	almutairi	almutairi	PROPN
ejpam-6053	634	17	,	,	PUNCT
ejpam-6053	634	18	and	and	CCONJ
ejpam-6053	634	19	h.	h.	PROPN
ejpam-6053	634	20	khan	khan	PROPN
ejpam-6053	634	21	.	.	PUNCT
ejpam-6053	635	1	analyzing	analyze	VERB
ejpam-6053	635	2	chaotic	chaotic	ADJ
ejpam-6053	635	3	systems	system	NOUN
ejpam-6053	635	4	with	with	ADP
ejpam-6053	635	5	multi	multi	ADJ
ejpam-6053	635	6	-	-	ADJ
ejpam-6053	635	7	step	step	ADJ
ejpam-6053	635	8	methods	method	NOUN
ejpam-6053	635	9	:	:	PUNCT
ejpam-6053	635	10	theory	theory	NOUN
ejpam-6053	635	11	and	and	CCONJ
ejpam-6053	635	12	simulations	simulation	NOUN
ejpam-6053	635	13	.	.	PUNCT
ejpam-6053	636	1	alexandria	alexandria	PROPN
ejpam-6053	636	2	engineering	engineering	PROPN
ejpam-6053	636	3	journal	journal	PROPN
ejpam-6053	636	4	,	,	PUNCT
ejpam-6053	636	5	113:516–534	113:516–534	NUM
ejpam-6053	636	6	,	,	PUNCT
ejpam-6053	636	7	2025	2025	NUM
ejpam-6053	636	8	.	.	PUNCT
ejpam-6053	637	1	[	[	X
ejpam-6053	637	2	34	34	NUM
ejpam-6053	637	3	]	]	PUNCT
ejpam-6053	637	4	z.	z.	PROPN
ejpam-6053	637	5	a.	a.	PROPN
ejpam-6053	637	6	khan	khan	PROPN
ejpam-6053	637	7	,	,	PUNCT
ejpam-6053	637	8	a.	a.	PROPN
ejpam-6053	637	9	ali	ali	PROPN
ejpam-6053	637	10	,	,	PUNCT
ejpam-6053	637	11	a.	a.	PROPN
ejpam-6053	637	12	u.	u.	PROPN
ejpam-6053	637	13	r.	r.	PROPN
ejpam-6053	637	14	irshad	irshad	PROPN
ejpam-6053	637	15	,	,	PUNCT
ejpam-6053	637	16	b.	b.	PROPN
ejpam-6053	637	17	ozdemir	ozdemir	PROPN
ejpam-6053	637	18	,	,	PUNCT
ejpam-6053	637	19	and	and	CCONJ
ejpam-6053	637	20	h.	h.	PROPN
ejpam-6053	637	21	alrabaiah	alrabaiah	PROPN
ejpam-6053	637	22	.	.	PUNCT
ejpam-6053	638	1	on	on	ADP
ejpam-6053	638	2	theoretical	theoretical	ADJ
ejpam-6053	638	3	and	and	CCONJ
ejpam-6053	638	4	numerical	numerical	ADJ
ejpam-6053	638	5	results	result	NOUN
ejpam-6053	638	6	of	of	ADP
ejpam-6053	638	7	serum	serum	NOUN
ejpam-6053	638	8	hepatitis	hepatitis	NOUN
ejpam-6053	638	9	disease	disease	NOUN
ejpam-6053	638	10	using	use	VERB
ejpam-6053	638	11	piecewise	piecewise	NOUN
ejpam-6053	638	12	fractal	fractal	ADJ
ejpam-6053	638	13	-	-	PUNCT
ejpam-6053	638	14	fractional	fractional	ADJ
ejpam-6053	638	15	perspectives	perspective	NOUN
ejpam-6053	638	16	.	.	PUNCT
ejpam-6053	639	1	fractal	fractal	ADJ
ejpam-6053	639	2	and	and	CCONJ
ejpam-6053	639	3	fractional	fractional	ADJ
ejpam-6053	639	4	,	,	PUNCT
ejpam-6053	639	5	8(5):260	8(5):260	NUM
ejpam-6053	639	6	,	,	PUNCT
ejpam-6053	639	7	2024	2024	NUM
ejpam-6053	639	8	.	.	PUNCT
ejpam-6053	640	1	[	[	X
ejpam-6053	640	2	35	35	NUM
ejpam-6053	640	3	]	]	X
ejpam-6053	640	4	m.	m.	NOUN
ejpam-6053	640	5	shutaywi	shutaywi	PROPN
ejpam-6053	640	6	,	,	PUNCT
ejpam-6053	640	7	z.	z.	PROPN
ejpam-6053	640	8	shah	shah	PROPN
ejpam-6053	640	9	,	,	PUNCT
ejpam-6053	640	10	n.	n.	PROPN
ejpam-6053	640	11	vrinceanu	vrinceanu	PROPN
ejpam-6053	640	12	,	,	PUNCT
ejpam-6053	640	13	r.	r.	PROPN
ejpam-6053	640	14	jan	jan	PROPN
ejpam-6053	640	15	,	,	PUNCT
ejpam-6053	640	16	andw	andw	PROPN
ejpam-6053	640	17	.	.	PUNCT
ejpam-6053	641	1	deebani	deebani	PROPN
ejpam-6053	641	2	.	.	PUNCT
ejpam-6053	642	1	exploring	explore	VERB
ejpam-6053	642	2	the	the	DET
ejpam-6053	642	3	dynamics	dynamic	NOUN
ejpam-6053	642	4	of	of	ADP
ejpam-6053	642	5	hiv	hiv	PROPN
ejpam-6053	642	6	and	and	CCONJ
ejpam-6053	642	7	cd4	cd4	PROPN
ejpam-6053	642	8	+	+	PROPN
ejpam-6053	642	9	t	t	PROPN
ejpam-6053	642	10	-	-	PUNCT
ejpam-6053	642	11	cells	cell	NOUN
ejpam-6053	642	12	with	with	ADP
ejpam-6053	642	13	non	non	ADJ
ejpam-6053	642	14	-	-	ADJ
ejpam-6053	642	15	integer	integer	ADJ
ejpam-6053	642	16	derivatives	derivative	NOUN
ejpam-6053	642	17	involving	involve	VERB
ejpam-6053	642	18	nonsingular	nonsingular	ADJ
ejpam-6053	642	19	and	and	CCONJ
ejpam-6053	642	20	nonlocal	nonlocal	ADJ
ejpam-6053	642	21	kernel	kernel	NOUN
ejpam-6053	642	22	.	.	PUNCT
ejpam-6053	643	1	scientific	scientific	ADJ
ejpam-6053	643	2	reports	report	NOUN
ejpam-6053	643	3	,	,	PUNCT
ejpam-6053	643	4	14(1):24506	14(1):24506	NUM
ejpam-6053	643	5	,	,	PUNCT
ejpam-6053	643	6	2024	2024	NUM
ejpam-6053	643	7	.	.	PUNCT
ejpam-6053	644	1	[	[	X
ejpam-6053	644	2	36	36	NUM
ejpam-6053	644	3	]	]	PUNCT
ejpam-6053	644	4	m.	m.	PROPN
ejpam-6053	644	5	b.	b.	PROPN
ejpam-6053	644	6	jeelani	jeelani	PROPN
ejpam-6053	644	7	,	,	PUNCT
ejpam-6053	644	8	k.	k.	PROPN
ejpam-6053	644	9	shah	shah	PROPN
ejpam-6053	644	10	,	,	PUNCT
ejpam-6053	644	11	h.	h.	PROPN
ejpam-6053	644	12	alrabaiah	alrabaiah	PROPN
ejpam-6053	644	13	,	,	PUNCT
ejpam-6053	644	14	and	and	CCONJ
ejpam-6053	644	15	a.	a.	PROPN
ejpam-6053	644	16	s.	s.	PROPN
ejpam-6053	644	17	alnahdi	alnahdi	PROPN
ejpam-6053	644	18	.	.	PUNCT
ejpam-6053	645	1	on	on	ADP
ejpam-6053	645	2	a	a	DET
ejpam-6053	645	3	seir	seir	ADJ
ejpam-6053	645	4	-	-	PUNCT
ejpam-6053	645	5	type	type	NOUN
ejpam-6053	645	6	model	model	NOUN
ejpam-6053	645	7	of	of	ADP
ejpam-6053	645	8	covid-19	covid-19	PROPN
ejpam-6053	645	9	using	use	VERB
ejpam-6053	645	10	piecewise	piecewise	NOUN
ejpam-6053	645	11	and	and	CCONJ
ejpam-6053	645	12	stochastic	stochastic	ADJ
ejpam-6053	645	13	differential	differential	NOUN
ejpam-6053	645	14	operators	operator	NOUN
ejpam-6053	645	15	undertaking	undertake	VERB
ejpam-6053	645	16	management	management	NOUN
ejpam-6053	645	17	strategies	strategy	NOUN
ejpam-6053	645	18	.	.	PUNCT
ejpam-6053	646	1	aims	aim	VERB
ejpam-6053	646	2	mathematics	mathematic	NOUN
ejpam-6053	646	3	,	,	PUNCT
ejpam-6053	646	4	8(11):27268–27290	8(11):27268–27290	NUM
ejpam-6053	646	5	,	,	PUNCT
ejpam-6053	646	6	2023	2023	NUM
ejpam-6053	646	7	.	.	PUNCT