id	sid	tid	token	lemma	pos
ejpam-6693	1	1	european	european	PROPN
ejpam-6693	1	2	journal	journal	PROPN
ejpam-6693	1	3	of	of	ADP
ejpam-6693	1	4	pure	pure	ADJ
ejpam-6693	1	5	and	and	CCONJ
ejpam-6693	1	6	applied	applied	ADJ
ejpam-6693	1	7	mathematics	mathematic	NOUN
ejpam-6693	1	8	2025	2025	NUM
ejpam-6693	1	9	,	,	PUNCT
ejpam-6693	1	10	vol	vol	NOUN
ejpam-6693	1	11	.	.	PROPN
ejpam-6693	1	12	18	18	NUM
ejpam-6693	1	13	,	,	PUNCT
ejpam-6693	1	14	issue	issue	NOUN
ejpam-6693	1	15	4	4	NUM
ejpam-6693	1	16	,	,	PUNCT
ejpam-6693	1	17	article	article	NOUN
ejpam-6693	1	18	number	number	NOUN
ejpam-6693	1	19	6693	6693	NUM
ejpam-6693	1	20	issn	issn	PROPN
ejpam-6693	1	21	1307	1307	NUM
ejpam-6693	1	22	-	-	SYM
ejpam-6693	1	23	5543	5543	NUM
ejpam-6693	1	24	–	–	PUNCT
ejpam-6693	1	25	ejpam.com	ejpam.com	X
ejpam-6693	1	26	published	publish	VERB
ejpam-6693	1	27	by	by	ADP
ejpam-6693	1	28	new	new	PROPN
ejpam-6693	1	29	york	york	PROPN
ejpam-6693	1	30	business	business	PROPN
ejpam-6693	1	31	global	global	PROPN
ejpam-6693	1	32	numerical	numerical	PROPN
ejpam-6693	1	33	solutions	solution	NOUN
ejpam-6693	1	34	of	of	ADP
ejpam-6693	1	35	the	the	DET
ejpam-6693	1	36	sir	sir	PROPN
ejpam-6693	1	37	mathematical	mathematical	ADJ
ejpam-6693	1	38	model	model	NOUN
ejpam-6693	1	39	of	of	ADP
ejpam-6693	1	40	computer	computer	NOUN
ejpam-6693	1	41	viruses	virus	NOUN
ejpam-6693	1	42	involving	involve	VERB
ejpam-6693	1	43	non	non	ADJ
ejpam-6693	1	44	-	-	ADJ
ejpam-6693	1	45	linear	linear	ADJ
ejpam-6693	1	46	fractional	fractional	ADJ
ejpam-6693	1	47	order	order	NOUN
ejpam-6693	1	48	differential	differential	NOUN
ejpam-6693	1	49	equation	equation	NOUN
ejpam-6693	1	50	rajratana	rajratana	PROPN
ejpam-6693	1	51	m.	m.	PROPN
ejpam-6693	1	52	kamble1,∗	kamble1,∗	PROPN
ejpam-6693	1	53	,	,	PUNCT
ejpam-6693	1	54	pramod	pramod	PROPN
ejpam-6693	1	55	r.	r.	PROPN
ejpam-6693	1	56	kulkarni2	kulkarni2	PROPN
ejpam-6693	2	1	1	1	NUM
ejpam-6693	2	2	shri	shri	PROPN
ejpam-6693	2	3	vitthal	vitthal	VERB
ejpam-6693	2	4	rukmini	rukmini	NOUN
ejpam-6693	2	5	arts	art	NOUN
ejpam-6693	2	6	,	,	PUNCT
ejpam-6693	2	7	commerce	commerce	NOUN
ejpam-6693	2	8	and	and	CCONJ
ejpam-6693	2	9	science	science	PROPN
ejpam-6693	2	10	college	college	PROPN
ejpam-6693	2	11	,	,	PUNCT
ejpam-6693	2	12	sawana	sawana	PROPN
ejpam-6693	2	13	,	,	PUNCT
ejpam-6693	2	14	tq	tq	INTJ
ejpam-6693	2	15	.	.	PUNCT
ejpam-6693	2	16	mahagoan	mahagoan	PROPN
ejpam-6693	2	17	,	,	PUNCT
ejpam-6693	2	18	dist	dist	NOUN
ejpam-6693	2	19	.	.	PUNCT
ejpam-6693	3	1	yavatmal	yavatmal	PROPN
ejpam-6693	3	2	,	,	PUNCT
ejpam-6693	3	3	maharashtra	maharashtra	PROPN
ejpam-6693	3	4	,	,	PUNCT
ejpam-6693	3	5	india	india	PROPN
ejpam-6693	3	6	2	2	NUM
ejpam-6693	3	7	n.e.s	n.e.s	ADJ
ejpam-6693	3	8	science	science	PROPN
ejpam-6693	3	9	college	college	PROPN
ejpam-6693	3	10	,	,	PUNCT
ejpam-6693	3	11	nanded	nanded	PROPN
ejpam-6693	3	12	,	,	PUNCT
ejpam-6693	3	13	maharashtra	maharashtra	PROPN
ejpam-6693	3	14	,	,	PUNCT
ejpam-6693	3	15	india	india	PROPN
ejpam-6693	3	16	abstract	abstract	NOUN
ejpam-6693	3	17	.	.	PUNCT
ejpam-6693	4	1	in	in	ADP
ejpam-6693	4	2	this	this	DET
ejpam-6693	4	3	paper	paper	NOUN
ejpam-6693	4	4	,	,	PUNCT
ejpam-6693	4	5	the	the	DET
ejpam-6693	4	6	non	non	ADJ
ejpam-6693	4	7	-	-	ADJ
ejpam-6693	4	8	linear	linear	ADJ
ejpam-6693	4	9	fractional	fractional	ADJ
ejpam-6693	4	10	order	order	NOUN
ejpam-6693	4	11	susceptible	susceptible	ADJ
ejpam-6693	4	12	-	-	PUNCT
ejpam-6693	4	13	infected	infect	VERB
ejpam-6693	4	14	-	-	PUNCT
ejpam-6693	4	15	recovered(sir	recovered(sir	NOUN
ejpam-6693	4	16	)	)	PUNCT
ejpam-6693	4	17	mathematical	mathematical	ADJ
ejpam-6693	4	18	model	model	NOUN
ejpam-6693	4	19	of	of	ADP
ejpam-6693	4	20	computer	computer	NOUN
ejpam-6693	4	21	viruses	virus	NOUN
ejpam-6693	4	22	is	be	AUX
ejpam-6693	4	23	presented	present	VERB
ejpam-6693	4	24	.	.	PUNCT
ejpam-6693	5	1	for	for	ADP
ejpam-6693	5	2	this	this	DET
ejpam-6693	5	3	fractional	fractional	ADJ
ejpam-6693	5	4	differential	differential	NOUN
ejpam-6693	5	5	transform	transform	NOUN
ejpam-6693	5	6	method	method	NOUN
ejpam-6693	5	7	(	(	PUNCT
ejpam-6693	5	8	fdtm	fdtm	NOUN
ejpam-6693	5	9	)	)	PUNCT
ejpam-6693	5	10	and	and	CCONJ
ejpam-6693	5	11	the	the	DET
ejpam-6693	5	12	laplace	laplace	NOUN
ejpam-6693	5	13	-	-	PUNCT
ejpam-6693	5	14	adomian	adomian	NOUN
ejpam-6693	5	15	decomposition	decomposition	NOUN
ejpam-6693	5	16	method	method	NOUN
ejpam-6693	5	17	(	(	PUNCT
ejpam-6693	5	18	ladm	ladm	ADV
ejpam-6693	5	19	)	)	PUNCT
ejpam-6693	5	20	are	be	AUX
ejpam-6693	5	21	applied	apply	VERB
ejpam-6693	5	22	and	and	CCONJ
ejpam-6693	5	23	compared	compare	VERB
ejpam-6693	5	24	the	the	DET
ejpam-6693	5	25	obtained	obtain	VERB
ejpam-6693	5	26	results	result	NOUN
ejpam-6693	5	27	with	with	ADP
ejpam-6693	5	28	runge	runge	NOUN
ejpam-6693	5	29	-	-	PUNCT
ejpam-6693	5	30	kutta	kutta	NOUN
ejpam-6693	5	31	felhberg	felhberg	PROPN
ejpam-6693	5	32	method	method	NOUN
ejpam-6693	5	33	for	for	ADP
ejpam-6693	5	34	γ	γ	X
ejpam-6693	5	35	=	=	SYM
ejpam-6693	5	36	1	1	NUM
ejpam-6693	5	37	.	.	PUNCT
ejpam-6693	6	1	also	also	ADV
ejpam-6693	6	2	,	,	PUNCT
ejpam-6693	6	3	graphs	graph	NOUN
ejpam-6693	6	4	of	of	ADP
ejpam-6693	6	5	solutions	solution	NOUN
ejpam-6693	6	6	are	be	AUX
ejpam-6693	6	7	plotted	plot	VERB
ejpam-6693	6	8	up	up	ADP
ejpam-6693	6	9	to	to	PART
ejpam-6693	6	10	five	five	NUM
ejpam-6693	6	11	iterations	iteration	NOUN
ejpam-6693	6	12	from	from	ADP
ejpam-6693	6	13	both	both	CCONJ
ejpam-6693	6	14	the	the	DET
ejpam-6693	6	15	method	method	NOUN
ejpam-6693	6	16	.	.	PUNCT
ejpam-6693	7	1	the	the	DET
ejpam-6693	7	2	fractional	fractional	ADJ
ejpam-6693	7	3	derivative	derivative	NOUN
ejpam-6693	7	4	used	use	VERB
ejpam-6693	7	5	in	in	ADP
ejpam-6693	7	6	the	the	DET
ejpam-6693	7	7	model	model	NOUN
ejpam-6693	7	8	is	be	AUX
ejpam-6693	7	9	caputo	caputo	PROPN
ejpam-6693	7	10	fractional	fractional	PROPN
ejpam-6693	7	11	derivative	derivative	PROPN
ejpam-6693	7	12	.	.	PUNCT
ejpam-6693	8	1	using	use	VERB
ejpam-6693	8	2	lyapunov	lyapunov	ADJ
ejpam-6693	8	3	stability	stability	NOUN
ejpam-6693	8	4	analysis	analysis	NOUN
ejpam-6693	8	5	,	,	PUNCT
ejpam-6693	8	6	the	the	DET
ejpam-6693	8	7	stability	stability	NOUN
ejpam-6693	8	8	verified	verify	VERB
ejpam-6693	8	9	of	of	ADP
ejpam-6693	8	10	the	the	DET
ejpam-6693	8	11	given	give	VERB
ejpam-6693	8	12	mathematical	mathematical	ADJ
ejpam-6693	8	13	model	model	NOUN
ejpam-6693	8	14	.	.	PUNCT
ejpam-6693	9	1	solutions	solution	NOUN
ejpam-6693	9	2	are	be	AUX
ejpam-6693	9	3	obtained	obtain	VERB
ejpam-6693	9	4	for	for	ADP
ejpam-6693	9	5	three	three	NUM
ejpam-6693	9	6	different	different	ADJ
ejpam-6693	9	7	fractional	fractional	ADJ
ejpam-6693	9	8	order	order	NOUN
ejpam-6693	9	9	values	value	NOUN
ejpam-6693	9	10	of	of	ADP
ejpam-6693	9	11	γ	γ	PROPN
ejpam-6693	9	12	.	.	PUNCT
ejpam-6693	10	1	the	the	DET
ejpam-6693	10	2	validity	validity	NOUN
ejpam-6693	10	3	of	of	ADP
ejpam-6693	10	4	the	the	DET
ejpam-6693	10	5	result	result	NOUN
ejpam-6693	10	6	is	be	AUX
ejpam-6693	10	7	confirmed	confirm	VERB
ejpam-6693	10	8	by	by	ADP
ejpam-6693	10	9	converting	convert	VERB
ejpam-6693	10	10	model	model	NOUN
ejpam-6693	10	11	into	into	ADP
ejpam-6693	10	12	integer	integer	NOUN
ejpam-6693	10	13	order	order	NOUN
ejpam-6693	10	14	.	.	PUNCT
ejpam-6693	11	1	errors	error	NOUN
ejpam-6693	11	2	from	from	ADP
ejpam-6693	11	3	both	both	CCONJ
ejpam-6693	11	4	the	the	DET
ejpam-6693	11	5	methods	method	NOUN
ejpam-6693	11	6	are	be	AUX
ejpam-6693	11	7	compared	compare	VERB
ejpam-6693	11	8	.	.	PUNCT
ejpam-6693	12	1	2020	2020	NUM
ejpam-6693	12	2	mathematics	mathematic	NOUN
ejpam-6693	12	3	subject	subject	NOUN
ejpam-6693	12	4	classifications	classification	NOUN
ejpam-6693	12	5	:	:	PUNCT
ejpam-6693	12	6	34a08	34a08	NUM
ejpam-6693	12	7	key	key	ADJ
ejpam-6693	12	8	words	word	NOUN
ejpam-6693	12	9	and	and	CCONJ
ejpam-6693	12	10	phrases	phrase	NOUN
ejpam-6693	12	11	:	:	PUNCT
ejpam-6693	12	12	caputo	caputo	PROPN
ejpam-6693	12	13	fractional	fractional	PROPN
ejpam-6693	12	14	derivative	derivative	ADJ
ejpam-6693	12	15	,	,	PUNCT
ejpam-6693	12	16	fractional	fractional	ADJ
ejpam-6693	12	17	differential	differential	ADJ
ejpam-6693	12	18	transform	transform	NOUN
ejpam-6693	12	19	method	method	NOUN
ejpam-6693	12	20	,	,	PUNCT
ejpam-6693	12	21	laplace	laplace	NOUN
ejpam-6693	12	22	adomian	adomian	NOUN
ejpam-6693	12	23	decomposition	decomposition	NOUN
ejpam-6693	12	24	method	method	NOUN
ejpam-6693	12	25	,	,	PUNCT
ejpam-6693	12	26	lyapunov	lyapunov	NOUN
ejpam-6693	12	27	stability	stability	NOUN
ejpam-6693	12	28	,	,	PUNCT
ejpam-6693	12	29	runge	runge	NOUN
ejpam-6693	12	30	-	-	PUNCT
ejpam-6693	12	31	kutta	kutta	NOUN
ejpam-6693	12	32	felhberg	felhberg	PROPN
ejpam-6693	12	33	method	method	PROPN
ejpam-6693	12	34	1	1	NUM
ejpam-6693	12	35	.	.	PUNCT
ejpam-6693	13	1	introduction	introduction	NOUN
ejpam-6693	13	2	computer	computer	NOUN
ejpam-6693	13	3	viruses	virus	NOUN
ejpam-6693	13	4	are	be	AUX
ejpam-6693	13	5	harmful	harmful	ADJ
ejpam-6693	13	6	programs	program	NOUN
ejpam-6693	13	7	for	for	ADP
ejpam-6693	13	8	normal	normal	ADJ
ejpam-6693	13	9	functioning	functioning	NOUN
ejpam-6693	13	10	of	of	ADP
ejpam-6693	13	11	computers	computer	NOUN
ejpam-6693	13	12	.	.	PUNCT
ejpam-6693	14	1	there	there	PRON
ejpam-6693	14	2	are	be	VERB
ejpam-6693	14	3	various	various	ADJ
ejpam-6693	14	4	types	type	NOUN
ejpam-6693	14	5	of	of	ADP
ejpam-6693	14	6	computer	computer	NOUN
ejpam-6693	14	7	viruses	virus	NOUN
ejpam-6693	14	8	that	that	PRON
ejpam-6693	14	9	attack	attack	NOUN
ejpam-6693	14	10	computers	computer	NOUN
ejpam-6693	14	11	.	.	PUNCT
ejpam-6693	15	1	different	different	ADJ
ejpam-6693	15	2	types	type	NOUN
ejpam-6693	15	3	of	of	ADP
ejpam-6693	15	4	mathematical	mathematical	ADJ
ejpam-6693	15	5	models	model	NOUN
ejpam-6693	15	6	representing	represent	VERB
ejpam-6693	15	7	spread	spread	NOUN
ejpam-6693	15	8	of	of	ADP
ejpam-6693	15	9	computer	computer	NOUN
ejpam-6693	15	10	viruses	virus	NOUN
ejpam-6693	15	11	have	have	AUX
ejpam-6693	15	12	been	be	AUX
ejpam-6693	15	13	proposed	propose	VERB
ejpam-6693	15	14	in	in	ADP
ejpam-6693	15	15	the	the	DET
ejpam-6693	15	16	literature[1	literature[1	PROPN
ejpam-6693	15	17	]	]	X
ejpam-6693	16	1	[	[	X
ejpam-6693	16	2	1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16][17	1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16][17	X
ejpam-6693	16	3	]	]	PUNCT
ejpam-6693	16	4	.	.	PUNCT
ejpam-6693	17	1	these	these	DET
ejpam-6693	17	2	models	model	NOUN
ejpam-6693	17	3	can	can	AUX
ejpam-6693	17	4	be	be	AUX
ejpam-6693	17	5	solved	solve	VERB
ejpam-6693	17	6	using	use	VERB
ejpam-6693	17	7	mathematical	mathematical	ADJ
ejpam-6693	17	8	techniques	technique	NOUN
ejpam-6693	17	9	such	such	ADJ
ejpam-6693	17	10	as	as	ADP
ejpam-6693	17	11	the	the	DET
ejpam-6693	17	12	differential	differential	ADJ
ejpam-6693	17	13	transform	transform	NOUN
ejpam-6693	17	14	method	method	NOUN
ejpam-6693	17	15	,	,	PUNCT
ejpam-6693	17	16	collection	collection	NOUN
ejpam-6693	17	17	method	method	NOUN
ejpam-6693	17	18	[	[	X
ejpam-6693	17	19	13	13	NUM
ejpam-6693	17	20	]	]	PUNCT
ejpam-6693	17	21	,	,	PUNCT
ejpam-6693	17	22	homotopy	homotopy	VERB
ejpam-6693	17	23	analysis	analysis	NOUN
ejpam-6693	17	24	method	method	NOUN
ejpam-6693	17	25	[	[	X
ejpam-6693	17	26	2],[15	2],[15	X
ejpam-6693	17	27	]	]	X
ejpam-6693	17	28	variational	variational	ADJ
ejpam-6693	17	29	iterational	iterational	NOUN
ejpam-6693	17	30	method[18	method[18	PROPN
ejpam-6693	17	31	]	]	PUNCT
ejpam-6693	17	32	,	,	PUNCT
ejpam-6693	17	33	and	and	CCONJ
ejpam-6693	17	34	others[7],[16	others[7],[16	NUM
ejpam-6693	17	35	]	]	PUNCT
ejpam-6693	17	36	.	.	PUNCT
ejpam-6693	18	1	various	various	ADJ
ejpam-6693	18	2	mathematical	mathematical	ADJ
ejpam-6693	18	3	and	and	CCONJ
ejpam-6693	18	4	engineering	engineering	NOUN
ejpam-6693	18	5	problems	problem	NOUN
ejpam-6693	18	6	are	be	AUX
ejpam-6693	18	7	solved	solve	VERB
ejpam-6693	18	8	using	use	VERB
ejpam-6693	18	9	semianalytical	semianalytical	ADJ
ejpam-6693	18	10	techniques	technique	NOUN
ejpam-6693	18	11	[	[	X
ejpam-6693	18	12	14],[19],[20],[21],[15],[22],[23],[24],[25	14],[19],[20],[21],[15],[22],[23],[24],[25	NUM
ejpam-6693	18	13	]	]	X
ejpam-6693	18	14	.	.	PUNCT
ejpam-6693	19	1	the	the	DET
ejpam-6693	19	2	differntial	differntial	ADJ
ejpam-6693	19	3	transform	transform	NOUN
ejpam-6693	19	4	method	method	NOUN
ejpam-6693	19	5	and	and	CCONJ
ejpam-6693	19	6	laplace	laplace	NOUN
ejpam-6693	19	7	adomian	adomian	NOUN
ejpam-6693	19	8	decomposition	decomposition	NOUN
ejpam-6693	19	9	method	method	NOUN
ejpam-6693	19	10	are	be	AUX
ejpam-6693	19	11	the	the	DET
ejpam-6693	19	12	tools	tool	NOUN
ejpam-6693	19	13	to	to	PART
ejpam-6693	19	14	solve	solve	VERB
ejpam-6693	19	15	linear	linear	ADJ
ejpam-6693	19	16	and	and	CCONJ
ejpam-6693	19	17	nonlinear	nonlinear	ADJ
ejpam-6693	19	18	preoblems	preoblem	NOUN
ejpam-6693	19	19	in	in	ADP
ejpam-6693	19	20	engineering	engineering	NOUN
ejpam-6693	19	21	,	,	PUNCT
ejpam-6693	19	22	physics	physics	NOUN
ejpam-6693	19	23	,	,	PUNCT
ejpam-6693	19	24	mathematics	mathematic	NOUN
ejpam-6693	19	25	,	,	PUNCT
ejpam-6693	19	26	etc	etc	X
ejpam-6693	19	27	[	[	X
ejpam-6693	19	28	25],[26],[27],[28],[29],[30],[31	25],[26],[27],[28],[29],[30],[31	X
ejpam-6693	19	29	]	]	X
ejpam-6693	19	30	∗corresponding	∗corresponde	VERB
ejpam-6693	19	31	author	author	NOUN
ejpam-6693	19	32	.	.	PUNCT
ejpam-6693	20	1	doi	doi	NOUN
ejpam-6693	20	2	:	:	PUNCT
ejpam-6693	20	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6693	https://doi.org/10.29020/nybg.ejpam.v18i4.6693	NOUN
ejpam-6693	20	4	email	email	NOUN
ejpam-6693	20	5	addresses	address	NOUN
ejpam-6693	20	6	:	:	PUNCT
ejpam-6693	20	7	kamblerajratna2@gmail.com	kamblerajratna2@gmail.com	X
ejpam-6693	20	8	(	(	PUNCT
ejpam-6693	20	9	r.	r.	PROPN
ejpam-6693	20	10	m.	m.	PROPN
ejpam-6693	20	11	kamble	kamble	PROPN
ejpam-6693	20	12	)	)	PUNCT
ejpam-6693	20	13	,	,	PUNCT
ejpam-6693	20	14	pramodrkul@gmail.com	pramodrkul@gmail.com	X
ejpam-6693	20	15	(	(	PUNCT
ejpam-6693	20	16	p.	p.	PROPN
ejpam-6693	20	17	r.	r.	PROPN
ejpam-6693	20	18	kulkarni	kulkarni	PROPN
ejpam-6693	20	19	)	)	PUNCT
ejpam-6693	20	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6693	21	1	1	1	NUM
ejpam-6693	21	2	copyright	copyright	NOUN
ejpam-6693	21	3	:	:	PUNCT
ejpam-6693	21	4	©	©	PROPN
ejpam-6693	21	5	2025	2025	NUM
ejpam-6693	21	6	the	the	DET
ejpam-6693	21	7	author(s	author(s	NOUN
ejpam-6693	21	8	)	)	PUNCT
ejpam-6693	21	9	.	.	PUNCT
ejpam-6693	22	1	(	(	PUNCT
ejpam-6693	22	2	cc	cc	NOUN
ejpam-6693	22	3	by	by	ADP
ejpam-6693	22	4	-	-	PUNCT
ejpam-6693	22	5	nc	nc	PROPN
ejpam-6693	22	6	4.0	4.0	NUM
ejpam-6693	22	7	)	)	PUNCT
ejpam-6693	22	8	r.	r.	PROPN
ejpam-6693	22	9	m.	m.	PROPN
ejpam-6693	22	10	kamble	kamble	PROPN
ejpam-6693	22	11	,	,	PUNCT
ejpam-6693	22	12	p.	p.	PROPN
ejpam-6693	22	13	r.	r.	PROPN
ejpam-6693	22	14	kulkarni	kulkarni	PROPN
ejpam-6693	22	15	/	/	SYM
ejpam-6693	22	16	eur	eur	PROPN
ejpam-6693	22	17	.	.	PUNCT
ejpam-6693	23	1	j.	j.	PROPN
ejpam-6693	23	2	pure	pure	PROPN
ejpam-6693	23	3	appl	appl	PROPN
ejpam-6693	23	4	.	.	PROPN
ejpam-6693	23	5	math	math	PROPN
ejpam-6693	23	6	,	,	PUNCT
ejpam-6693	23	7	18	18	NUM
ejpam-6693	23	8	(	(	PUNCT
ejpam-6693	23	9	4	4	NUM
ejpam-6693	23	10	)	)	PUNCT
ejpam-6693	23	11	(	(	PUNCT
ejpam-6693	23	12	2025	2025	NUM
ejpam-6693	23	13	)	)	PUNCT
ejpam-6693	23	14	,	,	PUNCT
ejpam-6693	23	15	6693	6693	NUM
ejpam-6693	23	16	2	2	NUM
ejpam-6693	23	17	of	of	ADP
ejpam-6693	23	18	40	40	NUM
ejpam-6693	23	19	,	,	PUNCT
ejpam-6693	23	20	[	[	X
ejpam-6693	23	21	32],[33],[34],[35],[36],[37],[38],[39],[40],[41],[42],[43],[44],[45],[46	32],[33],[34],[35],[36],[37],[38],[39],[40],[41],[42],[43],[44],[45],[46	NOUN
ejpam-6693	23	22	]	]	PUNCT
ejpam-6693	23	23	in	in	ADP
ejpam-6693	23	24	this	this	DET
ejpam-6693	23	25	paper	paper	NOUN
ejpam-6693	23	26	,	,	PUNCT
ejpam-6693	23	27	we	we	PRON
ejpam-6693	23	28	have	have	AUX
ejpam-6693	23	29	designed	design	VERB
ejpam-6693	23	30	and	and	CCONJ
ejpam-6693	23	31	solved	solve	VERB
ejpam-6693	23	32	the	the	DET
ejpam-6693	23	33	non	non	ADJ
ejpam-6693	23	34	-	-	ADJ
ejpam-6693	23	35	linear	linear	ADJ
ejpam-6693	23	36	fractional	fractional	ADJ
ejpam-6693	23	37	order	order	NOUN
ejpam-6693	23	38	system	system	NOUN
ejpam-6693	23	39	of	of	ADP
ejpam-6693	23	40	the	the	DET
ejpam-6693	23	41	susceptible	susceptible	ADJ
ejpam-6693	23	42	-	-	PUNCT
ejpam-6693	23	43	infected	infect	VERB
ejpam-6693	23	44	-	-	PUNCT
ejpam-6693	23	45	recovered	recover	VERB
ejpam-6693	23	46	(	(	PUNCT
ejpam-6693	23	47	sir	sir	NOUN
ejpam-6693	23	48	)	)	PUNCT
ejpam-6693	23	49	mathematical	mathematical	ADJ
ejpam-6693	23	50	model	model	NOUN
ejpam-6693	23	51	of	of	ADP
ejpam-6693	23	52	computer	computer	NOUN
ejpam-6693	23	53	viruses	virus	NOUN
ejpam-6693	23	54	.	.	PUNCT
ejpam-6693	24	1	for	for	ADP
ejpam-6693	24	2	this	this	DET
ejpam-6693	24	3	purpose	purpose	NOUN
ejpam-6693	24	4	,	,	PUNCT
ejpam-6693	24	5	the	the	DET
ejpam-6693	24	6	fractional	fractional	ADJ
ejpam-6693	24	7	differential	differential	NOUN
ejpam-6693	24	8	transform	transform	NOUN
ejpam-6693	24	9	method	method	NOUN
ejpam-6693	24	10	(	(	PUNCT
ejpam-6693	24	11	fdtm	fdtm	NOUN
ejpam-6693	24	12	)	)	PUNCT
ejpam-6693	24	13	and	and	CCONJ
ejpam-6693	24	14	laplace	laplace	PROPN
ejpam-6693	24	15	adomian	adomian	NOUN
ejpam-6693	24	16	decomposition	decomposition	NOUN
ejpam-6693	24	17	method	method	NOUN
ejpam-6693	24	18	(	(	PUNCT
ejpam-6693	24	19	ladm	ladm	ADJ
ejpam-6693	24	20	)	)	PUNCT
ejpam-6693	24	21	is	be	AUX
ejpam-6693	24	22	applied	apply	VERB
ejpam-6693	24	23	.	.	PUNCT
ejpam-6693	25	1	the	the	DET
ejpam-6693	25	2	approximate	approximate	ADJ
ejpam-6693	25	3	solutions	solution	NOUN
ejpam-6693	25	4	are	be	AUX
ejpam-6693	25	5	estimated	estimate	VERB
ejpam-6693	25	6	for	for	ADP
ejpam-6693	25	7	different	different	ADJ
ejpam-6693	25	8	iterations	iteration	NOUN
ejpam-6693	25	9	(	(	PUNCT
ejpam-6693	25	10	up	up	ADP
ejpam-6693	25	11	to	to	PART
ejpam-6693	25	12	five	five	NUM
ejpam-6693	25	13	iterations	iteration	NOUN
ejpam-6693	25	14	)	)	PUNCT
ejpam-6693	25	15	,	,	PUNCT
ejpam-6693	25	16	and	and	CCONJ
ejpam-6693	25	17	the	the	DET
ejpam-6693	25	18	results	result	NOUN
ejpam-6693	25	19	are	be	AUX
ejpam-6693	25	20	compared	compare	VERB
ejpam-6693	25	21	with	with	ADP
ejpam-6693	25	22	those	those	PRON
ejpam-6693	25	23	obtained	obtain	VERB
ejpam-6693	25	24	by	by	ADP
ejpam-6693	25	25	4/5	4/5	NUM
ejpam-6693	25	26	runge	runge	NOUN
ejpam-6693	25	27	-	-	PUNCT
ejpam-6693	25	28	kutta	kutta	NOUN
ejpam-6693	25	29	frlhberg	frlhberg	PROPN
ejpam-6693	25	30	algorithm	algorithm	PROPN
ejpam-6693	25	31	(	(	PUNCT
ejpam-6693	25	32	rkfa	rkfa	PROPN
ejpam-6693	25	33	)	)	PUNCT
ejpam-6693	25	34	.	.	PUNCT
ejpam-6693	26	1	the	the	DET
ejpam-6693	26	2	graphs	graph	NOUN
ejpam-6693	26	3	of	of	ADP
ejpam-6693	26	4	the	the	DET
ejpam-6693	26	5	approximate	approximate	ADJ
ejpam-6693	26	6	solutions	solution	NOUN
ejpam-6693	26	7	up	up	ADP
ejpam-6693	26	8	to	to	PART
ejpam-6693	26	9	five	five	NUM
ejpam-6693	26	10	iterations	iteration	NOUN
ejpam-6693	26	11	and	and	CCONJ
ejpam-6693	26	12	the	the	DET
ejpam-6693	26	13	absolute	absolute	ADJ
ejpam-6693	26	14	errors	error	NOUN
ejpam-6693	26	15	are	be	AUX
ejpam-6693	26	16	plotted	plot	VERB
ejpam-6693	26	17	at	at	ADP
ejpam-6693	26	18	different	different	ADJ
ejpam-6693	26	19	values	value	NOUN
ejpam-6693	26	20	of	of	ADP
ejpam-6693	26	21	γ	γ	PROPN
ejpam-6693	26	22	and	and	CCONJ
ejpam-6693	26	23	t	t	PROPN
ejpam-6693	26	24	,	,	PUNCT
ejpam-6693	26	25	illustrating	illustrate	VERB
ejpam-6693	26	26	the	the	DET
ejpam-6693	26	27	evolution	evolution	NOUN
ejpam-6693	26	28	of	of	ADP
ejpam-6693	26	29	the	the	DET
ejpam-6693	26	30	system	system	NOUN
ejpam-6693	26	31	.	.	PUNCT
ejpam-6693	27	1	comparing	compare	VERB
ejpam-6693	27	2	the	the	DET
ejpam-6693	27	3	solutions	solution	NOUN
ejpam-6693	27	4	and	and	CCONJ
ejpam-6693	27	5	errors	error	NOUN
ejpam-6693	27	6	obtained	obtain	VERB
ejpam-6693	27	7	by	by	ADP
ejpam-6693	27	8	fdtm	fdtm	NOUN
ejpam-6693	27	9	and	and	CCONJ
ejpam-6693	27	10	ladm	ladm	ADJ
ejpam-6693	27	11	with	with	ADP
ejpam-6693	27	12	rkfa	rkfa	PROPN
ejpam-6693	27	13	,	,	PUNCT
ejpam-6693	27	14	we	we	PRON
ejpam-6693	27	15	have	have	AUX
ejpam-6693	27	16	concluded	conclude	VERB
ejpam-6693	27	17	that	that	SCONJ
ejpam-6693	27	18	as	as	SCONJ
ejpam-6693	27	19	compared	compare	VERB
ejpam-6693	27	20	to	to	ADP
ejpam-6693	27	21	the	the	DET
ejpam-6693	27	22	ladm	ladm	NOUN
ejpam-6693	27	23	,	,	PUNCT
ejpam-6693	27	24	the	the	DET
ejpam-6693	27	25	fdtm	fdtm	NOUN
ejpam-6693	27	26	gives	give	VERB
ejpam-6693	27	27	more	more	ADV
ejpam-6693	27	28	accurate	accurate	ADJ
ejpam-6693	27	29	results	result	NOUN
ejpam-6693	27	30	under	under	ADP
ejpam-6693	27	31	certain	certain	ADJ
ejpam-6693	27	32	conditions	condition	NOUN
ejpam-6693	27	33	.	.	PUNCT
ejpam-6693	28	1	the	the	DET
ejpam-6693	28	2	methods	method	NOUN
ejpam-6693	28	3	and	and	CCONJ
ejpam-6693	28	4	results	result	NOUN
ejpam-6693	28	5	presented	present	VERB
ejpam-6693	28	6	in	in	ADP
ejpam-6693	28	7	this	this	DET
ejpam-6693	28	8	chapter	chapter	NOUN
ejpam-6693	28	9	on	on	ADP
ejpam-6693	28	10	the	the	DET
ejpam-6693	28	11	non	non	ADJ
ejpam-6693	28	12	-	-	ADJ
ejpam-6693	28	13	linear	linear	ADJ
ejpam-6693	28	14	fractional	fractional	ADJ
ejpam-6693	28	15	order	order	NOUN
ejpam-6693	28	16	system	system	NOUN
ejpam-6693	28	17	for	for	ADP
ejpam-6693	28	18	modeling	model	VERB
ejpam-6693	28	19	computer	computer	NOUN
ejpam-6693	28	20	virus	virus	NOUN
ejpam-6693	28	21	propagation	propagation	NOUN
ejpam-6693	28	22	through	through	ADP
ejpam-6693	28	23	the	the	DET
ejpam-6693	28	24	susceptible	susceptible	ADJ
ejpam-6693	28	25	-	-	PUNCT
ejpam-6693	28	26	infected	infect	VERB
ejpam-6693	28	27	-	-	PUNCT
ejpam-6693	28	28	recovered	recover	VERB
ejpam-6693	28	29	(	(	PUNCT
ejpam-6693	28	30	sir	sir	NOUN
ejpam-6693	28	31	)	)	PUNCT
ejpam-6693	28	32	framework	framework	NOUN
ejpam-6693	28	33	have	have	VERB
ejpam-6693	28	34	broader	broad	ADJ
ejpam-6693	28	35	implications	implication	NOUN
ejpam-6693	28	36	for	for	ADP
ejpam-6693	28	37	mathematical	mathematical	ADJ
ejpam-6693	28	38	modeling	modeling	NOUN
ejpam-6693	28	39	and	and	CCONJ
ejpam-6693	28	40	systems	system	NOUN
ejpam-6693	28	41	analysis	analysis	NOUN
ejpam-6693	28	42	.	.	PUNCT
ejpam-6693	29	1	the	the	DET
ejpam-6693	29	2	use	use	NOUN
ejpam-6693	29	3	of	of	ADP
ejpam-6693	29	4	non	non	ADJ
ejpam-6693	29	5	-	-	ADJ
ejpam-6693	29	6	linear	linear	ADJ
ejpam-6693	29	7	fractional	fractional	ADJ
ejpam-6693	29	8	order	order	NOUN
ejpam-6693	29	9	models	model	NOUN
ejpam-6693	29	10	is	be	AUX
ejpam-6693	29	11	not	not	PART
ejpam-6693	29	12	limited	limit	VERB
ejpam-6693	29	13	to	to	ADP
ejpam-6693	29	14	computer	computer	NOUN
ejpam-6693	29	15	viruses	virus	NOUN
ejpam-6693	29	16	;	;	PUNCT
ejpam-6693	29	17	similar	similar	ADJ
ejpam-6693	29	18	models	model	NOUN
ejpam-6693	29	19	can	can	AUX
ejpam-6693	29	20	be	be	AUX
ejpam-6693	29	21	applied	apply	VERB
ejpam-6693	29	22	to	to	ADP
ejpam-6693	29	23	biological	biological	ADJ
ejpam-6693	29	24	systems	system	NOUN
ejpam-6693	29	25	such	such	ADJ
ejpam-6693	29	26	as	as	ADP
ejpam-6693	29	27	the	the	DET
ejpam-6693	29	28	spread	spread	NOUN
ejpam-6693	29	29	of	of	ADP
ejpam-6693	29	30	infectious	infectious	ADJ
ejpam-6693	29	31	diseases	disease	NOUN
ejpam-6693	29	32	in	in	ADP
ejpam-6693	29	33	populations	population	NOUN
ejpam-6693	29	34	.	.	PUNCT
ejpam-6693	30	1	the	the	DET
ejpam-6693	30	2	methodologies	methodology	NOUN
ejpam-6693	30	3	outlined	outline	VERB
ejpam-6693	30	4	in	in	ADP
ejpam-6693	30	5	this	this	DET
ejpam-6693	30	6	chapter	chapter	NOUN
ejpam-6693	30	7	can	can	AUX
ejpam-6693	30	8	be	be	AUX
ejpam-6693	30	9	adapted	adapt	VERB
ejpam-6693	30	10	to	to	ADP
ejpam-6693	30	11	various	various	ADJ
ejpam-6693	30	12	epidemiological	epidemiological	ADJ
ejpam-6693	30	13	contexts	contexts	NOUN
ejpam-6693	30	14	,	,	PUNCT
ejpam-6693	30	15	potentially	potentially	ADV
ejpam-6693	30	16	improving	improve	VERB
ejpam-6693	30	17	the	the	DET
ejpam-6693	30	18	understanding	understanding	NOUN
ejpam-6693	30	19	of	of	ADP
ejpam-6693	30	20	disease	disease	NOUN
ejpam-6693	30	21	dynamics	dynamic	NOUN
ejpam-6693	30	22	and	and	CCONJ
ejpam-6693	30	23	control	control	NOUN
ejpam-6693	30	24	measures	measure	NOUN
ejpam-6693	30	25	.	.	PUNCT
ejpam-6693	31	1	the	the	DET
ejpam-6693	31	2	methods	method	NOUN
ejpam-6693	31	3	employed	employ	VERB
ejpam-6693	31	4	,	,	PUNCT
ejpam-6693	31	5	particularly	particularly	ADV
ejpam-6693	31	6	the	the	DET
ejpam-6693	31	7	fractional	fractional	ADJ
ejpam-6693	31	8	differential	differential	NOUN
ejpam-6693	31	9	transform	transform	NOUN
ejpam-6693	31	10	method	method	NOUN
ejpam-6693	31	11	(	(	PUNCT
ejpam-6693	31	12	fdtm	fdtm	NOUN
ejpam-6693	31	13	)	)	PUNCT
ejpam-6693	31	14	and	and	CCONJ
ejpam-6693	31	15	differential	differential	ADJ
ejpam-6693	31	16	transform	transform	NOUN
ejpam-6693	31	17	method	method	NOUN
ejpam-6693	31	18	(	(	PUNCT
ejpam-6693	31	19	dtm	dtm	PROPN
ejpam-6693	31	20	)	)	PUNCT
ejpam-6693	31	21	,	,	PUNCT
ejpam-6693	31	22	can	can	AUX
ejpam-6693	31	23	be	be	AUX
ejpam-6693	31	24	integrated	integrate	VERB
ejpam-6693	31	25	with	with	ADP
ejpam-6693	31	26	other	other	ADJ
ejpam-6693	31	27	mathematical	mathematical	ADJ
ejpam-6693	31	28	techniques	technique	NOUN
ejpam-6693	31	29	,	,	PUNCT
ejpam-6693	31	30	such	such	ADJ
ejpam-6693	31	31	as	as	ADP
ejpam-6693	31	32	agent	agent	NOUN
ejpam-6693	31	33	-	-	PUNCT
ejpam-6693	31	34	based	base	VERB
ejpam-6693	31	35	modeling	modeling	NOUN
ejpam-6693	31	36	or	or	CCONJ
ejpam-6693	31	37	network	network	NOUN
ejpam-6693	31	38	theory	theory	NOUN
ejpam-6693	31	39	to	to	PART
ejpam-6693	31	40	provide	provide	VERB
ejpam-6693	31	41	a	a	DET
ejpam-6693	31	42	more	more	ADV
ejpam-6693	31	43	comprehensive	comprehensive	ADJ
ejpam-6693	31	44	analysis	analysis	NOUN
ejpam-6693	31	45	of	of	ADP
ejpam-6693	31	46	complex	complex	ADJ
ejpam-6693	31	47	systems	system	NOUN
ejpam-6693	31	48	.	.	PUNCT
ejpam-6693	32	1	this	this	DET
ejpam-6693	32	2	versatility	versatility	NOUN
ejpam-6693	32	3	allows	allow	VERB
ejpam-6693	32	4	the	the	DET
ejpam-6693	32	5	exploration	exploration	NOUN
ejpam-6693	32	6	of	of	ADP
ejpam-6693	32	7	various	various	ADJ
ejpam-6693	32	8	dynamics	dynamic	NOUN
ejpam-6693	32	9	and	and	CCONJ
ejpam-6693	32	10	interactions	interaction	NOUN
ejpam-6693	32	11	in	in	ADP
ejpam-6693	32	12	different	different	ADJ
ejpam-6693	32	13	contexts	contexts	NOUN
ejpam-6693	32	14	.	.	PUNCT
ejpam-6693	33	1	the	the	DET
ejpam-6693	33	2	mathematical	mathematical	ADJ
ejpam-6693	33	3	framework	framework	NOUN
ejpam-6693	33	4	developed	develop	VERB
ejpam-6693	33	5	can	can	AUX
ejpam-6693	33	6	be	be	AUX
ejpam-6693	33	7	adapted	adapt	VERB
ejpam-6693	33	8	for	for	ADP
ejpam-6693	33	9	various	various	ADJ
ejpam-6693	33	10	applications	application	NOUN
ejpam-6693	33	11	.	.	PUNCT
ejpam-6693	34	1	the	the	DET
ejpam-6693	34	2	most	most	ADV
ejpam-6693	34	3	common	common	ADJ
ejpam-6693	34	4	and	and	CCONJ
ejpam-6693	34	5	general	general	ADJ
ejpam-6693	34	6	model	model	NOUN
ejpam-6693	34	7	is	be	AUX
ejpam-6693	34	8	the	the	DET
ejpam-6693	34	9	classical	classical	ADJ
ejpam-6693	34	10	non	non	ADJ
ejpam-6693	34	11	-	-	ADJ
ejpam-6693	34	12	linear	linear	ADJ
ejpam-6693	34	13	fractional	fractional	ADJ
ejpam-6693	34	14	order	order	NOUN
ejpam-6693	34	15	susceptible	susceptible	ADJ
ejpam-6693	34	16	-	-	PUNCT
ejpam-6693	34	17	infected	infect	VERB
ejpam-6693	34	18	-	-	PUNCT
ejpam-6693	34	19	recovered	recover	VERB
ejpam-6693	34	20	(	(	PUNCT
ejpam-6693	34	21	sir	sir	NOUN
ejpam-6693	34	22	)	)	PUNCT
ejpam-6693	34	23	model	model	NOUN
ejpam-6693	34	24	for	for	ADP
ejpam-6693	34	25	computer	computer	NOUN
ejpam-6693	34	26	virus	virus	NOUN
ejpam-6693	34	27	propagation	propagation	NOUN
ejpam-6693	34	28	is	be	AUX
ejpam-6693	34	29	given	give	VERB
ejpam-6693	34	30	below	below	ADV
ejpam-6693	34	31	.	.	PUNCT
ejpam-6693	35	1	2	2	X
ejpam-6693	35	2	.	.	X
ejpam-6693	35	3	the	the	DET
ejpam-6693	35	4	s	s	PROPN
ejpam-6693	35	5	-	-	ADJ
ejpam-6693	35	6	i	i	NOUN
ejpam-6693	35	7	-	-	PUNCT
ejpam-6693	35	8	r	r	NOUN
ejpam-6693	35	9	model	model	NOUN
ejpam-6693	35	10	and	and	CCONJ
ejpam-6693	35	11	parameters	parameter	NOUN
ejpam-6693	35	12	the	the	DET
ejpam-6693	35	13	governing	govern	VERB
ejpam-6693	35	14	equations	equation	NOUN
ejpam-6693	35	15	of	of	ADP
ejpam-6693	35	16	the	the	DET
ejpam-6693	35	17	non	non	ADJ
ejpam-6693	35	18	-	-	ADJ
ejpam-6693	35	19	linear	linear	ADJ
ejpam-6693	35	20	fractional	fractional	ADJ
ejpam-6693	35	21	-	-	PUNCT
ejpam-6693	35	22	order	order	NOUN
ejpam-6693	35	23	sir	sir	NOUN
ejpam-6693	35	24	model[47	model[47	X
ejpam-6693	35	25	]	]	X
ejpam-6693	35	26	are	be	AUX
ejpam-6693	35	27	given	give	VERB
ejpam-6693	35	28	by	by	ADP
ejpam-6693	35	29	:	:	PUNCT
ejpam-6693	35	30	dγs(t	dγs(t	ADJ
ejpam-6693	35	31	)	)	PUNCT
ejpam-6693	35	32	dtγ	dtγ	NOUN
ejpam-6693	35	33	=	=	SYM
ejpam-6693	35	34	f1	f1	PROPN
ejpam-6693	35	35	−	−	PROPN
ejpam-6693	35	36	λs(t)i(t)−	λs(t)i(t)−	PROPN
ejpam-6693	35	37	ds(t	ds(t	PROPN
ejpam-6693	35	38	)	)	PUNCT
ejpam-6693	35	39	,	,	PUNCT
ejpam-6693	35	40	dγi(t	dγi(t	PROPN
ejpam-6693	35	41	)	)	PUNCT
ejpam-6693	35	42	dtγ	dtγ	NOUN
ejpam-6693	35	43	=	=	SYM
ejpam-6693	35	44	f2	f2	PROPN
ejpam-6693	35	45	+	+	CCONJ
ejpam-6693	35	46	λs(t)i(t)−	λs(t)i(t)−	PROPN
ejpam-6693	35	47	εi(t)−	εi(t)−	PROPN
ejpam-6693	35	48	dr(t	dr(t	PRON
ejpam-6693	35	49	)	)	PUNCT
ejpam-6693	35	50	,	,	PUNCT
ejpam-6693	35	51	dγr(t	dγr(t	NOUN
ejpam-6693	35	52	)	)	PUNCT
ejpam-6693	35	53	dtγ	dtγ	NOUN
ejpam-6693	35	54	=	=	SYM
ejpam-6693	35	55	f3	f3	PROPN
ejpam-6693	35	56	+	+	CCONJ
ejpam-6693	35	57	εi(t)−	εi(t)−	PROPN
ejpam-6693	35	58	dr(t	dr(t	NUM
ejpam-6693	35	59	)	)	PUNCT
ejpam-6693	35	60	.	.	PUNCT
ejpam-6693	36	1	(	(	PUNCT
ejpam-6693	36	2	1	1	X
ejpam-6693	36	3	)	)	PUNCT
ejpam-6693	36	4	with	with	ADP
ejpam-6693	36	5	the	the	DET
ejpam-6693	36	6	initial	initial	ADJ
ejpam-6693	36	7	conditions	condition	NOUN
ejpam-6693	36	8	s(0	s(0	PROPN
ejpam-6693	36	9	)	)	PUNCT
ejpam-6693	36	10	=	=	SYM
ejpam-6693	36	11	s0	s0	PROPN
ejpam-6693	36	12	,	,	PUNCT
ejpam-6693	36	13	i(0	i(0	PROPN
ejpam-6693	36	14	)	)	PUNCT
ejpam-6693	36	15	=	=	SYM
ejpam-6693	36	16	i0	i0	PROPN
ejpam-6693	36	17	,	,	PUNCT
ejpam-6693	36	18	r(0	r(0	PROPN
ejpam-6693	36	19	)	)	PUNCT
ejpam-6693	36	20	=	=	SYM
ejpam-6693	36	21	r0	r0	NOUN
ejpam-6693	36	22	(	(	PUNCT
ejpam-6693	36	23	2	2	NUM
ejpam-6693	36	24	)	)	PUNCT
ejpam-6693	36	25	the	the	DET
ejpam-6693	36	26	parameters	parameter	NOUN
ejpam-6693	36	27	and	and	CCONJ
ejpam-6693	36	28	initial	initial	ADJ
ejpam-6693	36	29	values	value	NOUN
ejpam-6693	36	30	of	of	ADP
ejpam-6693	36	31	system	system	NOUN
ejpam-6693	36	32	1	1	NUM
ejpam-6693	36	33	are	be	AUX
ejpam-6693	36	34	given	give	VERB
ejpam-6693	36	35	in	in	ADP
ejpam-6693	36	36	table	table	NOUN
ejpam-6693	36	37	1	1	NUM
ejpam-6693	36	38	.	.	PUNCT
ejpam-6693	37	1	here	here	ADV
ejpam-6693	37	2	the	the	DET
ejpam-6693	37	3	fractional	fractional	ADJ
ejpam-6693	37	4	derivative	derivative	NOUN
ejpam-6693	37	5	used	use	VERB
ejpam-6693	37	6	is	be	AUX
ejpam-6693	37	7	the	the	DET
ejpam-6693	37	8	caputo	caputo	PROPN
ejpam-6693	37	9	fractional	fractional	PROPN
ejpam-6693	37	10	derivative	derivative	PROPN
ejpam-6693	37	11	and	and	CCONJ
ejpam-6693	37	12	γ	γ	X
ejpam-6693	37	13	∈	∈	PROPN
ejpam-6693	37	14	(	(	PUNCT
ejpam-6693	37	15	0	0	NUM
ejpam-6693	37	16	,	,	PUNCT
ejpam-6693	37	17	1	1	NUM
ejpam-6693	37	18	]	]	PUNCT
ejpam-6693	37	19	.	.	PUNCT
ejpam-6693	38	1	the	the	DET
ejpam-6693	38	2	generalization	generalization	NOUN
ejpam-6693	38	3	of	of	ADP
ejpam-6693	38	4	integer	integer	NOUN
ejpam-6693	38	5	order	order	NOUN
ejpam-6693	38	6	differentiation	differentiation	NOUN
ejpam-6693	38	7	is	be	AUX
ejpam-6693	38	8	known	know	VERB
ejpam-6693	38	9	as	as	ADP
ejpam-6693	38	10	fractional	fractional	ADJ
ejpam-6693	38	11	order	order	NOUN
ejpam-6693	38	12	differentiation	differentiation	NOUN
ejpam-6693	38	13	.	.	PUNCT
ejpam-6693	39	1	as	as	SCONJ
ejpam-6693	39	2	the	the	DET
ejpam-6693	39	3	reader	reader	NOUN
ejpam-6693	39	4	can	can	AUX
ejpam-6693	39	5	see	see	VERB
ejpam-6693	39	6	,	,	PUNCT
ejpam-6693	39	7	calculating	calculate	VERB
ejpam-6693	39	8	derivatives	derivative	NOUN
ejpam-6693	39	9	of	of	ADP
ejpam-6693	39	10	fractional	fractional	ADJ
ejpam-6693	39	11	order	order	NOUN
ejpam-6693	39	12	is	be	AUX
ejpam-6693	39	13	far	far	ADV
ejpam-6693	39	14	more	more	ADV
ejpam-6693	39	15	difficult	difficult	ADJ
ejpam-6693	39	16	r.	r.	PROPN
ejpam-6693	39	17	m.	m.	PROPN
ejpam-6693	39	18	kamble	kamble	PROPN
ejpam-6693	39	19	,	,	PUNCT
ejpam-6693	39	20	p.	p.	PROPN
ejpam-6693	39	21	r.	r.	PROPN
ejpam-6693	39	22	kulkarni	kulkarni	PROPN
ejpam-6693	39	23	/	/	SYM
ejpam-6693	39	24	eur	eur	PROPN
ejpam-6693	39	25	.	.	PUNCT
ejpam-6693	40	1	j.	j.	PROPN
ejpam-6693	40	2	pure	pure	PROPN
ejpam-6693	40	3	appl	appl	PROPN
ejpam-6693	40	4	.	.	PROPN
ejpam-6693	40	5	math	math	PROPN
ejpam-6693	40	6	,	,	PUNCT
ejpam-6693	40	7	18	18	NUM
ejpam-6693	40	8	(	(	PUNCT
ejpam-6693	40	9	4	4	NUM
ejpam-6693	40	10	)	)	PUNCT
ejpam-6693	40	11	(	(	PUNCT
ejpam-6693	40	12	2025	2025	NUM
ejpam-6693	40	13	)	)	PUNCT
ejpam-6693	40	14	,	,	PUNCT
ejpam-6693	40	15	6693	6693	NUM
ejpam-6693	40	16	3	3	NUM
ejpam-6693	40	17	of	of	ADP
ejpam-6693	40	18	40	40	NUM
ejpam-6693	40	19	table	table	NOUN
ejpam-6693	40	20	1	1	NUM
ejpam-6693	40	21	:	:	PUNCT
ejpam-6693	40	22	list	list	NOUN
ejpam-6693	40	23	of	of	ADP
ejpam-6693	40	24	parameters	parameter	NOUN
ejpam-6693	40	25	and	and	CCONJ
ejpam-6693	40	26	their	their	PRON
ejpam-6693	40	27	values	value	NOUN
ejpam-6693	40	28	parameter	parameter	NOUN
ejpam-6693	40	29	meaning	mean	VERB
ejpam-6693	40	30	value	value	NOUN
ejpam-6693	40	31	s(t	s(t	PROPN
ejpam-6693	40	32	)	)	PUNCT
ejpam-6693	40	33	susceptible	susceptible	ADJ
ejpam-6693	40	34	computers	computer	NOUN
ejpam-6693	40	35	to	to	ADP
ejpam-6693	40	36	the	the	DET
ejpam-6693	40	37	virus	virus	NOUN
ejpam-6693	40	38	at	at	ADP
ejpam-6693	40	39	time	time	NOUN
ejpam-6693	40	40	t	t	PROPN
ejpam-6693	40	41	s(0	s(0	PROPN
ejpam-6693	40	42	)	)	PUNCT
ejpam-6693	40	43	=	=	NOUN
ejpam-6693	40	44	20	20	NUM
ejpam-6693	40	45	i(t	i(t	NOUN
ejpam-6693	40	46	)	)	PUNCT
ejpam-6693	40	47	infected	infect	VERB
ejpam-6693	40	48	computers	computer	NOUN
ejpam-6693	40	49	to	to	ADP
ejpam-6693	40	50	the	the	DET
ejpam-6693	40	51	virus	virus	NOUN
ejpam-6693	40	52	at	at	ADP
ejpam-6693	40	53	time	time	NOUN
ejpam-6693	40	54	t	t	PROPN
ejpam-6693	40	55	i(0	i(0	PROPN
ejpam-6693	40	56	)	)	PUNCT
ejpam-6693	41	1	=	=	SYM
ejpam-6693	41	2	15	15	NUM
ejpam-6693	41	3	r(t	r(t	NOUN
ejpam-6693	41	4	)	)	PUNCT
ejpam-6693	41	5	recovered	recover	VERB
ejpam-6693	41	6	computers	computer	NOUN
ejpam-6693	41	7	from	from	ADP
ejpam-6693	41	8	the	the	DET
ejpam-6693	41	9	virus	virus	NOUN
ejpam-6693	41	10	at	at	ADP
ejpam-6693	41	11	time	time	NOUN
ejpam-6693	41	12	t	t	PROPN
ejpam-6693	41	13	r(0	r(0	PROPN
ejpam-6693	41	14	)	)	PUNCT
ejpam-6693	42	1	=	=	PROPN
ejpam-6693	42	2	10	10	NUM
ejpam-6693	42	3	f1	f1	NOUN
ejpam-6693	42	4	,	,	PUNCT
ejpam-6693	42	5	f2	f2	PROPN
ejpam-6693	42	6	,	,	PUNCT
ejpam-6693	42	7	f3	f3	ADJ
ejpam-6693	42	8	rate	rate	NOUN
ejpam-6693	42	9	of	of	ADP
ejpam-6693	42	10	other	other	ADJ
ejpam-6693	42	11	computers	computer	NOUN
ejpam-6693	42	12	connecting	connect	VERB
ejpam-6693	42	13	to	to	ADP
ejpam-6693	42	14	the	the	DET
ejpam-6693	42	15	network	network	NOUN
ejpam-6693	42	16	0	0	PUNCT
ejpam-6693	42	17	λ	λ	NOUN
ejpam-6693	42	18	rate	rate	NOUN
ejpam-6693	42	19	of	of	ADP
ejpam-6693	42	20	virus	virus	NOUN
ejpam-6693	42	21	infection	infection	NOUN
ejpam-6693	42	22	for	for	ADP
ejpam-6693	42	23	susceptible	susceptible	ADJ
ejpam-6693	42	24	computers	computer	NOUN
ejpam-6693	42	25	0.001	0.001	NUM
ejpam-6693	42	26	ε	ε	PROPN
ejpam-6693	42	27	rate	rate	NOUN
ejpam-6693	42	28	of	of	ADP
ejpam-6693	42	29	recovery	recovery	NOUN
ejpam-6693	42	30	from	from	ADP
ejpam-6693	42	31	virus	virus	NOUN
ejpam-6693	42	32	for	for	ADP
ejpam-6693	42	33	infected	infected	ADJ
ejpam-6693	42	34	computers	computer	NOUN
ejpam-6693	42	35	0.1	0.1	NUM
ejpam-6693	42	36	d	d	NOUN
ejpam-6693	42	37	rate	rate	NOUN
ejpam-6693	42	38	of	of	ADP
ejpam-6693	42	39	removing	remove	VERB
ejpam-6693	42	40	from	from	ADP
ejpam-6693	42	41	the	the	DET
ejpam-6693	42	42	network	network	NOUN
ejpam-6693	42	43	0.1	0.1	NUM
ejpam-6693	42	44	than	than	ADP
ejpam-6693	42	45	computing	compute	VERB
ejpam-6693	42	46	derivatives	derivative	NOUN
ejpam-6693	42	47	of	of	ADP
ejpam-6693	42	48	traditional	traditional	ADJ
ejpam-6693	42	49	integer	integer	NOUN
ejpam-6693	42	50	order	order	NOUN
ejpam-6693	42	51	.	.	PUNCT
ejpam-6693	43	1	nevertheless	nevertheless	ADV
ejpam-6693	43	2	,	,	PUNCT
ejpam-6693	43	3	it	it	PRON
ejpam-6693	43	4	has	have	AUX
ejpam-6693	43	5	been	be	AUX
ejpam-6693	43	6	demonstrated	demonstrate	VERB
ejpam-6693	43	7	that	that	SCONJ
ejpam-6693	43	8	fractional	fractional	ADJ
ejpam-6693	43	9	order	order	NOUN
ejpam-6693	43	10	mathematical	mathematical	ADJ
ejpam-6693	43	11	models	model	NOUN
ejpam-6693	43	12	many	many	ADJ
ejpam-6693	43	13	phenomena	phenomenon	NOUN
ejpam-6693	43	14	’	'	PUNCT
ejpam-6693	43	15	attributes	attribute	NOUN
ejpam-6693	43	16	are	be	AUX
ejpam-6693	43	17	better	well	ADV
ejpam-6693	43	18	described	describe	VERB
ejpam-6693	43	19	by	by	ADP
ejpam-6693	43	20	integrals	integral	NOUN
ejpam-6693	43	21	and	and	CCONJ
ejpam-6693	43	22	derivatives	derivative	NOUN
ejpam-6693	43	23	than	than	ADP
ejpam-6693	43	24	by	by	ADP
ejpam-6693	43	25	the	the	DET
ejpam-6693	43	26	previously	previously	ADV
ejpam-6693	43	27	employed	employ	VERB
ejpam-6693	43	28	integer	integer	NOUN
ejpam-6693	43	29	order	order	NOUN
ejpam-6693	43	30	models.this	models.this	PRON
ejpam-6693	43	31	is	be	AUX
ejpam-6693	43	32	because	because	SCONJ
ejpam-6693	43	33	systems	system	NOUN
ejpam-6693	43	34	are	be	AUX
ejpam-6693	43	35	typically	typically	ADV
ejpam-6693	43	36	not	not	PART
ejpam-6693	43	37	flawless	flawless	ADJ
ejpam-6693	43	38	and	and	CCONJ
ejpam-6693	43	39	can	can	AUX
ejpam-6693	43	40	be	be	AUX
ejpam-6693	43	41	influenced	influence	VERB
ejpam-6693	43	42	by	by	ADP
ejpam-6693	43	43	outside	outside	ADJ
ejpam-6693	43	44	factors	factor	NOUN
ejpam-6693	43	45	,	,	PUNCT
ejpam-6693	43	46	for	for	ADP
ejpam-6693	43	47	instance	instance	NOUN
ejpam-6693	43	48	.	.	PUNCT
ejpam-6693	44	1	consequently	consequently	ADV
ejpam-6693	44	2	,	,	PUNCT
ejpam-6693	44	3	it	it	PRON
ejpam-6693	44	4	might	might	AUX
ejpam-6693	44	5	not	not	PART
ejpam-6693	44	6	be	be	AUX
ejpam-6693	44	7	possible	possible	ADJ
ejpam-6693	44	8	to	to	PART
ejpam-6693	44	9	comprehend	comprehend	VERB
ejpam-6693	44	10	the	the	DET
ejpam-6693	44	11	trajectories	trajectory	NOUN
ejpam-6693	44	12	of	of	ADP
ejpam-6693	44	13	state	state	NOUN
ejpam-6693	44	14	variables	variable	NOUN
ejpam-6693	44	15	using	use	VERB
ejpam-6693	44	16	derivatives	derivative	NOUN
ejpam-6693	44	17	of	of	ADP
ejpam-6693	44	18	integer	integer	NOUN
ejpam-6693	44	19	order	order	NOUN
ejpam-6693	44	20	.	.	PUNCT
ejpam-6693	45	1	with	with	ADP
ejpam-6693	45	2	fractional	fractional	ADJ
ejpam-6693	45	3	derivatives	derivative	NOUN
ejpam-6693	45	4	,	,	PUNCT
ejpam-6693	45	5	we	we	PRON
ejpam-6693	45	6	may	may	AUX
ejpam-6693	45	7	choose	choose	VERB
ejpam-6693	45	8	whatever	whatever	DET
ejpam-6693	45	9	fractional	fractional	ADJ
ejpam-6693	45	10	differential	differential	ADJ
ejpam-6693	45	11	equation	equation	NOUN
ejpam-6693	45	12	best	well	ADV
ejpam-6693	45	13	captures	capture	VERB
ejpam-6693	45	14	the	the	DET
ejpam-6693	45	15	model	model	NOUN
ejpam-6693	45	16	’s	’s	PART
ejpam-6693	45	17	dynamics	dynamic	NOUN
ejpam-6693	45	18	since	since	SCONJ
ejpam-6693	45	19	we	we	PRON
ejpam-6693	45	20	have	have	VERB
ejpam-6693	45	21	an	an	DET
ejpam-6693	45	22	infinite	infinite	ADJ
ejpam-6693	45	23	number	number	NOUN
ejpam-6693	45	24	of	of	ADP
ejpam-6693	45	25	derivative	derivative	ADJ
ejpam-6693	45	26	orders	order	NOUN
ejpam-6693	45	27	at	at	ADP
ejpam-6693	45	28	our	our	PRON
ejpam-6693	45	29	disposal	disposal	NOUN
ejpam-6693	45	30	.	.	PUNCT
ejpam-6693	46	1	among	among	ADP
ejpam-6693	46	2	other	other	ADJ
ejpam-6693	46	3	places	place	NOUN
ejpam-6693	46	4	,	,	PUNCT
ejpam-6693	46	5	[	[	X
ejpam-6693	46	6	48]and	48]and	NUM
ejpam-6693	46	7	[	[	X
ejpam-6693	46	8	49	49	NUM
ejpam-6693	46	9	]	]	PUNCT
ejpam-6693	46	10	exhibit	exhibit	VERB
ejpam-6693	46	11	experimental	experimental	ADJ
ejpam-6693	46	12	data	datum	NOUN
ejpam-6693	46	13	and	and	CCONJ
ejpam-6693	46	14	techniques	technique	NOUN
ejpam-6693	46	15	for	for	ADP
ejpam-6693	46	16	certain	certain	ADJ
ejpam-6693	46	17	real	real	ADJ
ejpam-6693	46	18	-	-	PUNCT
ejpam-6693	46	19	world	world	NOUN
ejpam-6693	46	20	events	event	NOUN
ejpam-6693	46	21	demonstrating	demonstrate	VERB
ejpam-6693	46	22	that	that	PRON
ejpam-6693	46	23	fractional	fractional	ADJ
ejpam-6693	46	24	order	order	NOUN
ejpam-6693	46	25	derivatives	derivative	NOUN
ejpam-6693	46	26	offer	offer	VERB
ejpam-6693	46	27	more	more	ADV
ejpam-6693	46	28	effective	effective	ADJ
ejpam-6693	46	29	solution	solution	NOUN
ejpam-6693	46	30	curve	curve	NOUN
ejpam-6693	46	31	modelling	modelling	NOUN
ejpam-6693	46	32	.	.	PUNCT
ejpam-6693	47	1	in	in	ADP
ejpam-6693	47	2	[	[	X
ejpam-6693	47	3	50	50	NUM
ejpam-6693	47	4	]	]	PUNCT
ejpam-6693	47	5	,	,	PUNCT
ejpam-6693	47	6	kamble	kamble	PROPN
ejpam-6693	47	7	,	,	PUNCT
ejpam-6693	47	8	r.	r.	PROPN
ejpam-6693	47	9	,	,	PUNCT
ejpam-6693	47	10	and	and	CCONJ
ejpam-6693	47	11	kukarni	kukarni	PROPN
ejpam-6693	47	12	,	,	PUNCT
ejpam-6693	47	13	p.	p.	PROPN
ejpam-6693	47	14	have	have	AUX
ejpam-6693	47	15	proved	prove	VERB
ejpam-6693	47	16	the	the	DET
ejpam-6693	47	17	existence	existence	NOUN
ejpam-6693	47	18	and	and	CCONJ
ejpam-6693	47	19	uniqueness	uniqueness	NOUN
ejpam-6693	47	20	of	of	ADP
ejpam-6693	47	21	solutions	solution	NOUN
ejpam-6693	47	22	for	for	ADP
ejpam-6693	47	23	the	the	DET
ejpam-6693	47	24	following	follow	VERB
ejpam-6693	47	25	equation	equation	NOUN
ejpam-6693	47	26	dαdβx	dαdβx	NOUN
ejpam-6693	47	27	(	(	PUNCT
ejpam-6693	47	28	τ	τ	X
ejpam-6693	47	29	)	)	PUNCT
ejpam-6693	47	30	=	=	SYM
ejpam-6693	47	31	f	f	PROPN
ejpam-6693	47	32	(	(	PUNCT
ejpam-6693	47	33	t	t	PROPN
ejpam-6693	47	34	,	,	PUNCT
ejpam-6693	47	35	x	x	X
ejpam-6693	47	36	(	(	PUNCT
ejpam-6693	47	37	τ	τ	X
ejpam-6693	47	38	)	)	PUNCT
ejpam-6693	47	39	,	,	PUNCT
ejpam-6693	47	40	ϕx	ϕx	INTJ
ejpam-6693	47	41	(	(	PUNCT
ejpam-6693	47	42	τ	τ	X
ejpam-6693	47	43	)	)	PUNCT
ejpam-6693	47	44	,	,	PUNCT
ejpam-6693	47	45	ψx	ψx	X
ejpam-6693	47	46	(	(	PUNCT
ejpam-6693	47	47	τ	τ	PROPN
ejpam-6693	47	48	)	)	PUNCT
ejpam-6693	47	49	)	)	PUNCT
ejpam-6693	47	50	,	,	PUNCT
ejpam-6693	47	51	τ	τ	PROPN
ejpam-6693	47	52	∈	∈	PROPN
ejpam-6693	48	1	[	[	X
ejpam-6693	48	2	0	0	NUM
ejpam-6693	48	3	,	,	PUNCT
ejpam-6693	48	4	1	1	NUM
ejpam-6693	48	5	]	]	PUNCT
ejpam-6693	48	6	,	,	PUNCT
ejpam-6693	48	7	x	x	X
ejpam-6693	48	8	(	(	PUNCT
ejpam-6693	48	9	0	0	NUM
ejpam-6693	48	10	)	)	PUNCT
ejpam-6693	48	11	=	=	SYM
ejpam-6693	48	12	x	x	SYM
ejpam-6693	48	13	(	(	PUNCT
ejpam-6693	48	14	1	1	NUM
ejpam-6693	48	15	)	)	PUNCT
ejpam-6693	49	1	=	=	SYM
ejpam-6693	49	2	0	0	NUM
ejpam-6693	49	3	where	where	SCONJ
ejpam-6693	49	4	0	0	X
ejpam-6693	49	5	<	<	X
ejpam-6693	49	6	α	α	X
ejpam-6693	49	7	≤	≤	NUM
ejpam-6693	49	8	1	1	NUM
ejpam-6693	49	9	,	,	PUNCT
ejpam-6693	49	10	0	0	PUNCT
ejpam-6693	49	11	<	<	X
ejpam-6693	49	12	β	β	X
ejpam-6693	49	13	≤	≤	NUM
ejpam-6693	49	14	1	1	NUM
ejpam-6693	49	15	,	,	PUNCT
ejpam-6693	49	16	dα	dα	NOUN
ejpam-6693	49	17	,	,	PUNCT
ejpam-6693	49	18	dβ	dβ	ADJ
ejpam-6693	49	19	are	be	AUX
ejpam-6693	49	20	the	the	DET
ejpam-6693	49	21	caputo	caputo	PROPN
ejpam-6693	49	22	fractional	fractional	ADJ
ejpam-6693	49	23	derivatives	derivative	NOUN
ejpam-6693	49	24	of	of	ADP
ejpam-6693	49	25	order	order	NOUN
ejpam-6693	49	26	α	α	NOUN
ejpam-6693	49	27	,	,	PUNCT
ejpam-6693	49	28	β	β	X
ejpam-6693	49	29	respectively	respectively	ADV
ejpam-6693	49	30	,	,	PUNCT
ejpam-6693	49	31	f	f	X
ejpam-6693	49	32	:	:	PUNCT
ejpam-6693	50	1	[	[	X
ejpam-6693	50	2	0	0	NUM
ejpam-6693	50	3	,	,	PUNCT
ejpam-6693	50	4	1	1	NUM
ejpam-6693	50	5	]	]	SYM
ejpam-6693	50	6	×	×	PROPN
ejpam-6693	50	7	r3−→r	r3−→r	NOUN
ejpam-6693	50	8	is	be	AUX
ejpam-6693	50	9	a	a	DET
ejpam-6693	50	10	continuous	continuous	ADJ
ejpam-6693	50	11	function	function	NOUN
ejpam-6693	50	12	λ	λ	PROPN
ejpam-6693	50	13	,	,	PUNCT
ejpam-6693	50	14	δ	δ	X
ejpam-6693	50	15	:	:	PUNCT
ejpam-6693	51	1	[	[	X
ejpam-6693	51	2	0	0	NUM
ejpam-6693	51	3	,	,	PUNCT
ejpam-6693	51	4	1	1	NUM
ejpam-6693	51	5	]	]	SYM
ejpam-6693	51	6	×	×	NOUN
ejpam-6693	51	7	[	[	X
ejpam-6693	51	8	0	0	NUM
ejpam-6693	51	9	,	,	PUNCT
ejpam-6693	51	10	1	1	NUM
ejpam-6693	51	11	]	]	PUNCT
ejpam-6693	51	12	→	→	X
ejpam-6693	51	13	[	[	X
ejpam-6693	51	14	0,+∞	0,+∞	NUM
ejpam-6693	51	15	)	)	PUNCT
ejpam-6693	51	16	,	,	PUNCT
ejpam-6693	51	17	and	and	CCONJ
ejpam-6693	51	18	ϕx	ϕx	INTJ
ejpam-6693	51	19	(	(	PUNCT
ejpam-6693	51	20	τ	τ	X
ejpam-6693	51	21	)	)	PUNCT
ejpam-6693	51	22	=	=	SYM
ejpam-6693	52	1	∫	∫	PROPN
ejpam-6693	52	2	τ	τ	X
ejpam-6693	52	3	0	0	NUM
ejpam-6693	52	4	λ	λ	PROPN
ejpam-6693	52	5	(	(	PUNCT
ejpam-6693	52	6	τ	τ	PROPN
ejpam-6693	52	7	,	,	PUNCT
ejpam-6693	52	8	s)x	s)x	X
ejpam-6693	52	9	(	(	PUNCT
ejpam-6693	52	10	s	s	X
ejpam-6693	52	11	)	)	PUNCT
ejpam-6693	52	12	ds	ds	ADJ
ejpam-6693	52	13	,	,	PUNCT
ejpam-6693	52	14	ψx	ψx	X
ejpam-6693	52	15	(	(	PUNCT
ejpam-6693	52	16	τ	τ	X
ejpam-6693	52	17	)	)	PUNCT
ejpam-6693	52	18	=	=	SYM
ejpam-6693	53	1	∫	∫	PROPN
ejpam-6693	53	2	τ	τ	PROPN
ejpam-6693	53	3	0	0	PROPN
ejpam-6693	53	4	δ	δ	PROPN
ejpam-6693	53	5	(	(	PUNCT
ejpam-6693	53	6	τ	τ	PROPN
ejpam-6693	53	7	,	,	PUNCT
ejpam-6693	53	8	s)x	s)x	X
ejpam-6693	53	9	(	(	PUNCT
ejpam-6693	53	10	s	s	X
ejpam-6693	53	11	)	)	PUNCT
ejpam-6693	53	12	ds	ds	ADJ
ejpam-6693	53	13	ϕ∗	ϕ∗	NOUN
ejpam-6693	53	14	=	=	NOUN
ejpam-6693	53	15	sup	sup	NOUN
ejpam-6693	53	16	t∈[0,1	t∈[0,1	NUM
ejpam-6693	53	17	]	]	PUNCT
ejpam-6693	53	18	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6693	53	19	t	t	NOUN
ejpam-6693	53	20	0	0	NUM
ejpam-6693	54	1	λ	λ	X
ejpam-6693	54	2	(	(	PUNCT
ejpam-6693	54	3	τ	τ	PROPN
ejpam-6693	54	4	,	,	PUNCT
ejpam-6693	54	5	s	s	PART
ejpam-6693	54	6	)	)	PUNCT
ejpam-6693	54	7	ds	ds	PROPN
ejpam-6693	54	8	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6693	54	9	<	<	X
ejpam-6693	54	10	∞	∞	PROPN
ejpam-6693	54	11	,	,	PUNCT
ejpam-6693	54	12	ψ∗	ψ∗	NOUN
ejpam-6693	54	13	=	=	SYM
ejpam-6693	54	14	sup	sup	NOUN
ejpam-6693	54	15	t∈[0,1	t∈[0,1	NUM
ejpam-6693	54	16	]	]	PUNCT
ejpam-6693	54	17	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6693	54	18	t	t	PROPN
ejpam-6693	54	19	0	0	NUM
ejpam-6693	54	20	δ	δ	PROPN
ejpam-6693	54	21	(	(	PUNCT
ejpam-6693	54	22	τ	τ	PROPN
ejpam-6693	54	23	,	,	PUNCT
ejpam-6693	54	24	s	s	PART
ejpam-6693	54	25	)	)	PUNCT
ejpam-6693	54	26	ds	ds	PROPN
ejpam-6693	54	27	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6693	54	28	<	<	X
ejpam-6693	54	29	∞	∞	NOUN
ejpam-6693	54	30	in	in	ADP
ejpam-6693	54	31	[	[	X
ejpam-6693	54	32	51	51	NUM
ejpam-6693	54	33	]	]	PUNCT
ejpam-6693	54	34	,	,	PUNCT
ejpam-6693	54	35	kamble	kamble	PROPN
ejpam-6693	54	36	,	,	PUNCT
ejpam-6693	54	37	r.	r.	PROPN
ejpam-6693	54	38	,	,	PUNCT
ejpam-6693	54	39	and	and	CCONJ
ejpam-6693	54	40	kukarni	kukarni	PROPN
ejpam-6693	54	41	,	,	PUNCT
ejpam-6693	54	42	p.	p.	PROPN
ejpam-6693	54	43	have	have	AUX
ejpam-6693	54	44	proved	prove	VERB
ejpam-6693	54	45	the	the	DET
ejpam-6693	54	46	existence	existence	NOUN
ejpam-6693	54	47	and	and	CCONJ
ejpam-6693	54	48	uniqueness	uniqueness	NOUN
ejpam-6693	54	49	of	of	ADP
ejpam-6693	54	50	solutions	solution	NOUN
ejpam-6693	54	51	for	for	ADP
ejpam-6693	54	52	the	the	DET
ejpam-6693	54	53	conformable	conformable	ADJ
ejpam-6693	54	54	fractional	fractional	ADJ
ejpam-6693	54	55	order	order	NOUN
ejpam-6693	54	56	volterra	volterra	NOUN
ejpam-6693	54	57	-	-	PUNCT
ejpam-6693	54	58	fredholm	fredholm	NOUN
ejpam-6693	54	59	type	type	NOUN
ejpam-6693	54	60	integro	integro	NOUN
ejpam-6693	54	61	-	-	PUNCT
ejpam-6693	54	62	differentail	differentail	NOUN
ejpam-6693	54	63	equations	equation	NOUN
ejpam-6693	54	64	of	of	ADP
ejpam-6693	54	65	the	the	DET
ejpam-6693	54	66	form	form	NOUN
ejpam-6693	54	67	dαx(t	dαx(t	PROPN
ejpam-6693	54	68	)	)	PUNCT
ejpam-6693	54	69	dt	dt	NOUN
ejpam-6693	55	1	=	=	SYM
ejpam-6693	55	2	f	f	PROPN
ejpam-6693	55	3	(	(	PUNCT
ejpam-6693	55	4	t	t	PROPN
ejpam-6693	55	5	)	)	PUNCT
ejpam-6693	56	1	+	+	CCONJ
ejpam-6693	57	1	∫	∫	PROPN
ejpam-6693	57	2	t	t	NOUN
ejpam-6693	57	3	0	0	NUM
ejpam-6693	58	1	p	p	X
ejpam-6693	58	2	(	(	PUNCT
ejpam-6693	58	3	t	t	PROPN
ejpam-6693	58	4	,	,	PUNCT
ejpam-6693	58	5	s	s	X
ejpam-6693	58	6	,	,	PUNCT
ejpam-6693	58	7	x	x	X
ejpam-6693	58	8	(	(	PUNCT
ejpam-6693	58	9	s	s	NOUN
ejpam-6693	58	10	)	)	PUNCT
ejpam-6693	58	11	)	)	PUNCT
ejpam-6693	58	12	ds+	ds+	PROPN
ejpam-6693	59	1	∫	∫	PROPN
ejpam-6693	59	2	b	b	PROPN
ejpam-6693	59	3	0	0	NUM
ejpam-6693	59	4	q	q	PROPN
ejpam-6693	59	5	(	(	PUNCT
ejpam-6693	59	6	t	t	PROPN
ejpam-6693	59	7	,	,	PUNCT
ejpam-6693	59	8	s	s	X
ejpam-6693	59	9	,	,	PUNCT
ejpam-6693	59	10	x	x	X
ejpam-6693	59	11	(	(	PUNCT
ejpam-6693	59	12	s	s	NOUN
ejpam-6693	59	13	)	)	PUNCT
ejpam-6693	59	14	)	)	PUNCT
ejpam-6693	59	15	ds	ds	NOUN
ejpam-6693	59	16	with	with	ADP
ejpam-6693	59	17	the	the	DET
ejpam-6693	59	18	initial	initial	ADJ
ejpam-6693	59	19	condition	condition	NOUN
ejpam-6693	59	20	x	x	X
ejpam-6693	59	21	(	(	PUNCT
ejpam-6693	59	22	0	0	NUM
ejpam-6693	59	23	)	)	PUNCT
ejpam-6693	59	24	=	=	SYM
ejpam-6693	60	1	x0	x0	PROPN
ejpam-6693	60	2	where	where	SCONJ
ejpam-6693	60	3	the	the	DET
ejpam-6693	60	4	term	term	NOUN
ejpam-6693	60	5	dαx(t	dαx(t	PROPN
ejpam-6693	60	6	)	)	PUNCT
ejpam-6693	60	7	dt	dt	PUNCT
ejpam-6693	60	8	represents	represent	VERB
ejpam-6693	60	9	the	the	DET
ejpam-6693	60	10	conformable	conformable	ADJ
ejpam-6693	60	11	fractional	fractional	ADJ
ejpam-6693	60	12	order	order	NOUN
ejpam-6693	60	13	derivative	derivative	NOUN
ejpam-6693	60	14	of	of	ADP
ejpam-6693	60	15	fractional	fractional	ADJ
ejpam-6693	60	16	order	order	NOUN
ejpam-6693	60	17	α	α	X
ejpam-6693	60	18	∈	∈	PROPN
ejpam-6693	60	19	(	(	PUNCT
ejpam-6693	60	20	0	0	NUM
ejpam-6693	60	21	,	,	PUNCT
ejpam-6693	60	22	1),t	1),t	NUM
ejpam-6693	60	23	∈	∈	NOUN
ejpam-6693	61	1	i	i	NOUN
ejpam-6693	61	2	=	=	PUNCT
ejpam-6693	62	1	[	[	X
ejpam-6693	62	2	0	0	NUM
ejpam-6693	62	3	,	,	PUNCT
ejpam-6693	62	4	b	b	NOUN
ejpam-6693	62	5	]	]	PUNCT
ejpam-6693	62	6	,	,	PUNCT
ejpam-6693	62	7	f	f	X
ejpam-6693	62	8	:	:	PUNCT
ejpam-6693	62	9	i	i	PRON
ejpam-6693	62	10	→	→	SYM
ejpam-6693	62	11	x	x	X
ejpam-6693	62	12	,	,	PUNCT
ejpam-6693	62	13	p	p	X
ejpam-6693	62	14	,	,	PUNCT
ejpam-6693	62	15	q	q	NOUN
ejpam-6693	62	16	:	:	PUNCT
ejpam-6693	63	1	i	i	PRON
ejpam-6693	63	2	×	×	VERB
ejpam-6693	63	3	i	i	PRON
ejpam-6693	63	4	×x	×x	VERB
ejpam-6693	63	5	→	→	SYM
ejpam-6693	63	6	x	x	X
ejpam-6693	63	7	are	be	AUX
ejpam-6693	63	8	continuous	continuous	ADJ
ejpam-6693	63	9	functions	function	NOUN
ejpam-6693	63	10	r.	r.	PROPN
ejpam-6693	63	11	m.	m.	PROPN
ejpam-6693	63	12	kamble	kamble	PROPN
ejpam-6693	63	13	,	,	PUNCT
ejpam-6693	64	1	p.	p.	PROPN
ejpam-6693	64	2	r.	r.	PROPN
ejpam-6693	65	1	kulkarni	kulkarni	PROPN
ejpam-6693	65	2	/	/	SYM
ejpam-6693	65	3	eur	eur	PROPN
ejpam-6693	65	4	.	.	PUNCT
ejpam-6693	66	1	j.	j.	PROPN
ejpam-6693	66	2	pure	pure	PROPN
ejpam-6693	66	3	appl	appl	PROPN
ejpam-6693	66	4	.	.	PROPN
ejpam-6693	66	5	math	math	PROPN
ejpam-6693	66	6	,	,	PUNCT
ejpam-6693	66	7	18	18	NUM
ejpam-6693	66	8	(	(	PUNCT
ejpam-6693	66	9	4	4	NUM
ejpam-6693	66	10	)	)	PUNCT
ejpam-6693	66	11	(	(	PUNCT
ejpam-6693	66	12	2025	2025	NUM
ejpam-6693	66	13	)	)	PUNCT
ejpam-6693	66	14	,	,	PUNCT
ejpam-6693	66	15	6693	6693	NUM
ejpam-6693	66	16	4	4	NUM
ejpam-6693	66	17	of	of	ADP
ejpam-6693	66	18	40	40	NUM
ejpam-6693	66	19	and	and	CCONJ
ejpam-6693	66	20	x0	x0	PROPN
ejpam-6693	66	21	is	be	AUX
ejpam-6693	66	22	an	an	DET
ejpam-6693	66	23	element	element	NOUN
ejpam-6693	66	24	of	of	ADP
ejpam-6693	66	25	a	a	DET
ejpam-6693	66	26	real	real	ADJ
ejpam-6693	66	27	banach	banach	NOUN
ejpam-6693	66	28	space	space	NOUN
ejpam-6693	66	29	x	x	NOUN
ejpam-6693	66	30	,	,	PUNCT
ejpam-6693	66	31	with	with	ADP
ejpam-6693	66	32	the	the	DET
ejpam-6693	66	33	norm	norm	NOUN
ejpam-6693	66	34	∥.∥.	∥.∥.	X
ejpam-6693	66	35	in	in	ADP
ejpam-6693	66	36	[	[	X
ejpam-6693	66	37	52	52	NUM
ejpam-6693	66	38	]	]	PUNCT
ejpam-6693	66	39	,	,	PUNCT
ejpam-6693	66	40	kamble	kamble	PROPN
ejpam-6693	66	41	,	,	PUNCT
ejpam-6693	66	42	r.	r.	PROPN
ejpam-6693	66	43	,	,	PUNCT
ejpam-6693	66	44	and	and	CCONJ
ejpam-6693	66	45	kukarni	kukarni	PROPN
ejpam-6693	66	46	,	,	PUNCT
ejpam-6693	66	47	p.	p.	PROPN
ejpam-6693	66	48	have	have	AUX
ejpam-6693	66	49	given	give	VERB
ejpam-6693	66	50	new	new	ADJ
ejpam-6693	66	51	definition	definition	NOUN
ejpam-6693	66	52	and	and	CCONJ
ejpam-6693	66	53	prove	prove	VERB
ejpam-6693	66	54	there	there	PRON
ejpam-6693	66	55	properties	property	NOUN
ejpam-6693	66	56	definition	definition	NOUN
ejpam-6693	66	57	1	1	X
ejpam-6693	66	58	.	.	PUNCT
ejpam-6693	67	1	let	let	VERB
ejpam-6693	67	2	f	f	NOUN
ejpam-6693	67	3	:	:	PUNCT
ejpam-6693	68	1	[	[	X
ejpam-6693	68	2	0,∞	0,∞	NUM
ejpam-6693	68	3	)	)	PUNCT
ejpam-6693	68	4	→	→	PUNCT
ejpam-6693	68	5	r	r	NOUN
ejpam-6693	68	6	be	be	AUX
ejpam-6693	68	7	a	a	DET
ejpam-6693	68	8	real	real	ADV
ejpam-6693	68	9	valued	value	VERB
ejpam-6693	68	10	function	function	NOUN
ejpam-6693	68	11	,	,	PUNCT
ejpam-6693	68	12	α	α	PROPN
ejpam-6693	68	13	∈	∈	PROPN
ejpam-6693	68	14	(	(	PUNCT
ejpam-6693	68	15	0	0	NUM
ejpam-6693	68	16	,	,	PUNCT
ejpam-6693	68	17	1	1	NUM
ejpam-6693	68	18	]	]	PUNCT
ejpam-6693	68	19	,	,	PUNCT
ejpam-6693	68	20	a	a	PRON
ejpam-6693	68	21	>	>	X
ejpam-6693	68	22	0	0	NUM
ejpam-6693	68	23	∈	∈	PROPN
ejpam-6693	68	24	r	r	NOUN
ejpam-6693	68	25	,	,	PUNCT
ejpam-6693	68	26	a	a	DET
ejpam-6693	68	27	̸=	̸=	PROPN
ejpam-6693	68	28	1	1	NUM
ejpam-6693	68	29	.	.	PUNCT
ejpam-6693	69	1	we	we	PRON
ejpam-6693	69	2	define	define	VERB
ejpam-6693	69	3	the	the	DET
ejpam-6693	69	4	(	(	PUNCT
ejpam-6693	69	5	α	α	NOUN
ejpam-6693	69	6	,	,	PUNCT
ejpam-6693	69	7	a)-extended	a)-extended	ADJ
ejpam-6693	69	8	fractional	fractional	ADJ
ejpam-6693	69	9	derivative(efd	derivative(efd	NOUN
ejpam-6693	69	10	)	)	PUNCT
ejpam-6693	69	11	of	of	ADP
ejpam-6693	69	12	f	f	PROPN
ejpam-6693	69	13	at	at	ADP
ejpam-6693	69	14	x	x	PROPN
ejpam-6693	69	15	,	,	PUNCT
ejpam-6693	69	16	denoted	denote	VERB
ejpam-6693	69	17	dα	dα	ADP
ejpam-6693	69	18	a	a	DET
ejpam-6693	69	19	f(x	f(x	PROPN
ejpam-6693	69	20	)	)	PUNCT
ejpam-6693	69	21	,	,	PUNCT
ejpam-6693	69	22	by	by	ADP
ejpam-6693	69	23	dα	dα	ADP
ejpam-6693	69	24	a	a	DET
ejpam-6693	69	25	f(x	f(x	PROPN
ejpam-6693	69	26	)	)	PUNCT
ejpam-6693	70	1	=	=	VERB
ejpam-6693	70	2	lim	lim	PROPN
ejpam-6693	70	3	h→0	h→0	PROPN
ejpam-6693	70	4	f(xahx	f(xahx	PROPN
ejpam-6693	70	5	(	(	PUNCT
ejpam-6693	70	6	−α	−α	PROPN
ejpam-6693	70	7	)	)	PUNCT
ejpam-6693	70	8	)	)	PUNCT
ejpam-6693	71	1	−	−	PROPN
ejpam-6693	71	2	f(x	f(x	PROPN
ejpam-6693	71	3	)	)	PUNCT
ejpam-6693	71	4	h	h	NOUN
ejpam-6693	71	5	,	,	PUNCT
ejpam-6693	71	6	(	(	PUNCT
ejpam-6693	71	7	3	3	X
ejpam-6693	71	8	)	)	PUNCT
ejpam-6693	71	9	provided	provide	VERB
ejpam-6693	71	10	the	the	DET
ejpam-6693	71	11	limit	limit	NOUN
ejpam-6693	71	12	exists	exist	VERB
ejpam-6693	71	13	.	.	PUNCT
ejpam-6693	71	14	.	.	PUNCT
ejpam-6693	72	1	in	in	ADP
ejpam-6693	72	2	[	[	X
ejpam-6693	72	3	53	53	NUM
ejpam-6693	72	4	]	]	PUNCT
ejpam-6693	72	5	,	,	PUNCT
ejpam-6693	72	6	kamble	kamble	PROPN
ejpam-6693	72	7	,	,	PUNCT
ejpam-6693	72	8	r.	r.	PROPN
ejpam-6693	72	9	,	,	PUNCT
ejpam-6693	72	10	and	and	CCONJ
ejpam-6693	72	11	kukarni	kukarni	PROPN
ejpam-6693	72	12	,	,	PUNCT
ejpam-6693	72	13	p.	p.	PROPN
ejpam-6693	72	14	have	have	AUX
ejpam-6693	72	15	proved	prove	VERB
ejpam-6693	72	16	,	,	PUNCT
ejpam-6693	72	17	existence	existence	NOUN
ejpam-6693	72	18	and	and	CCONJ
ejpam-6693	72	19	uniqueness	uniqueness	NOUN
ejpam-6693	72	20	of	of	ADP
ejpam-6693	72	21	solutions	solution	NOUN
ejpam-6693	72	22	for	for	ADP
ejpam-6693	72	23	exponential	exponential	ADJ
ejpam-6693	72	24	fractional	fractional	ADJ
ejpam-6693	72	25	differential	differential	NOUN
ejpam-6693	72	26	equations	equation	NOUN
ejpam-6693	72	27	.	.	PUNCT
ejpam-6693	73	1	in	in	ADP
ejpam-6693	73	2	[	[	X
ejpam-6693	73	3	54	54	NUM
ejpam-6693	73	4	]	]	PUNCT
ejpam-6693	73	5	,	,	PUNCT
ejpam-6693	73	6	kamble	kamble	PROPN
ejpam-6693	73	7	,	,	PUNCT
ejpam-6693	73	8	r.	r.	PROPN
ejpam-6693	73	9	,	,	PUNCT
ejpam-6693	73	10	and	and	CCONJ
ejpam-6693	73	11	kukarni	kukarni	PROPN
ejpam-6693	73	12	,	,	PUNCT
ejpam-6693	73	13	p.	p.	PROPN
ejpam-6693	73	14	have	have	AUX
ejpam-6693	73	15	developed	develop	VERB
ejpam-6693	73	16	method	method	NOUN
ejpam-6693	73	17	to	to	PART
ejpam-6693	73	18	solve	solve	VERB
ejpam-6693	73	19	,	,	PUNCT
ejpam-6693	73	20	(	(	PUNCT
ejpam-6693	73	21	α	α	NOUN
ejpam-6693	73	22	,	,	PUNCT
ejpam-6693	73	23	1	1	NUM
ejpam-6693	73	24	)	)	PUNCT
ejpam-6693	73	25	fractional	fractional	ADJ
ejpam-6693	73	26	differential	differential	ADJ
ejpam-6693	73	27	difference	difference	NOUN
ejpam-6693	73	28	equations	equation	NOUN
ejpam-6693	73	29	with	with	ADP
ejpam-6693	73	30	conditions	condition	NOUN
ejpam-6693	73	31	,	,	PUNCT
ejpam-6693	73	32	linear	linear	ADJ
ejpam-6693	73	33	and	and	CCONJ
ejpam-6693	73	34	nonlinear	nonlinear	ADJ
ejpam-6693	73	35	with	with	ADP
ejpam-6693	73	36	help	help	NOUN
ejpam-6693	73	37	of	of	ADP
ejpam-6693	73	38	laplace	laplace	NOUN
ejpam-6693	73	39	transform	transform	NOUN
ejpam-6693	73	40	and	and	CCONJ
ejpam-6693	73	41	laplace	laplace	NOUN
ejpam-6693	73	42	decomposition	decomposition	NOUN
ejpam-6693	73	43	method	method	NOUN
ejpam-6693	73	44	.	.	PUNCT
ejpam-6693	74	1	3	3	X
ejpam-6693	74	2	.	.	X
ejpam-6693	74	3	lyapunov	lyapunov	ADJ
ejpam-6693	74	4	stability	stability	NOUN
ejpam-6693	74	5	analysis	analysis	NOUN
ejpam-6693	74	6	of	of	ADP
ejpam-6693	74	7	the	the	DET
ejpam-6693	74	8	given	give	VERB
ejpam-6693	74	9	non	non	ADJ
ejpam-6693	74	10	linear	linear	PROPN
ejpam-6693	74	11	sir	sir	NOUN
ejpam-6693	74	12	model	model	NOUN
ejpam-6693	74	13	of	of	ADP
ejpam-6693	74	14	computer	computer	NOUN
ejpam-6693	74	15	viruses	virus	NOUN
ejpam-6693	74	16	.	.	PUNCT
ejpam-6693	75	1	using	use	VERB
ejpam-6693	75	2	lyapunov	lyapunov	ADJ
ejpam-6693	75	3	stability	stability	NOUN
ejpam-6693	75	4	theory	theory	NOUN
ejpam-6693	75	5	we	we	PRON
ejpam-6693	75	6	have	have	AUX
ejpam-6693	75	7	investigated	investigate	VERB
ejpam-6693	75	8	the	the	DET
ejpam-6693	75	9	stability	stability	NOUN
ejpam-6693	75	10	of	of	ADP
ejpam-6693	75	11	given	give	VERB
ejpam-6693	75	12	sir	sir	NOUN
ejpam-6693	75	13	fractional	fractional	ADJ
ejpam-6693	75	14	order	order	NOUN
ejpam-6693	75	15	non	non	ADJ
ejpam-6693	75	16	linear	linear	PROPN
ejpam-6693	75	17	mathematical	mathematical	ADJ
ejpam-6693	75	18	model	model	NOUN
ejpam-6693	75	19	is	be	AUX
ejpam-6693	75	20	stable	stable	ADJ
ejpam-6693	75	21	.	.	PUNCT
ejpam-6693	76	1	the	the	DET
ejpam-6693	76	2	detail	detail	NOUN
ejpam-6693	76	3	about	about	ADP
ejpam-6693	76	4	lyapunov	lyapunov	ADJ
ejpam-6693	76	5	stability	stability	NOUN
ejpam-6693	76	6	analysis	analysis	NOUN
ejpam-6693	76	7	of	of	ADP
ejpam-6693	76	8	caputo	caputo	PROPN
ejpam-6693	76	9	fractional	fractional	PROPN
ejpam-6693	76	10	order	order	NOUN
ejpam-6693	76	11	nonliner	nonliner	NOUN
ejpam-6693	76	12	system	system	NOUN
ejpam-6693	76	13	is	be	AUX
ejpam-6693	76	14	given	give	VERB
ejpam-6693	76	15	in	in	ADP
ejpam-6693	76	16	[	[	NOUN
ejpam-6693	76	17	55	55	NUM
ejpam-6693	76	18	]	]	PUNCT
ejpam-6693	76	19	.	.	PUNCT
ejpam-6693	77	1	consider	consider	VERB
ejpam-6693	77	2	the	the	DET
ejpam-6693	77	3	following	follow	VERB
ejpam-6693	77	4	non	non	ADJ
ejpam-6693	77	5	linear	linear	PROPN
ejpam-6693	77	6	system	system	NOUN
ejpam-6693	77	7	dγ	dγ	ADP
ejpam-6693	77	8	t0	t0	PROPN
ejpam-6693	77	9	y(t	y(t	PUNCT
ejpam-6693	77	10	)	)	PUNCT
ejpam-6693	78	1	=	=	PUNCT
ejpam-6693	78	2	g(t	g(t	PROPN
ejpam-6693	78	3	,	,	PUNCT
ejpam-6693	78	4	y(t	y(t	NOUN
ejpam-6693	78	5	)	)	PUNCT
ejpam-6693	78	6	)	)	PUNCT
ejpam-6693	79	1	=	=	SYM
ejpam-6693	79	2	ay(t	ay(t	PUNCT
ejpam-6693	79	3	)	)	PUNCT
ejpam-6693	80	1	+	+	CCONJ
ejpam-6693	80	2	h(t	h(t	PROPN
ejpam-6693	80	3	,	,	PUNCT
ejpam-6693	80	4	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	80	5	)	)	PUNCT
ejpam-6693	81	1	=	=	PUNCT
ejpam-6693	81	2	y0	y0	NOUN
ejpam-6693	81	3	where	where	SCONJ
ejpam-6693	81	4	γ	γ	X
ejpam-6693	81	5	∈	∈	PROPN
ejpam-6693	81	6	(	(	PUNCT
ejpam-6693	81	7	0	0	NUM
ejpam-6693	81	8	,	,	PUNCT
ejpam-6693	81	9	1),y	1),y	NUM
ejpam-6693	81	10	∈	∈	PROPN
ejpam-6693	81	11	rn	rn	NOUN
ejpam-6693	81	12	called	call	VERB
ejpam-6693	81	13	the	the	DET
ejpam-6693	81	14	state	state	NOUN
ejpam-6693	81	15	vector	vector	NOUN
ejpam-6693	81	16	of	of	ADP
ejpam-6693	81	17	the	the	DET
ejpam-6693	81	18	non	non	ADJ
ejpam-6693	81	19	linear	linear	PROPN
ejpam-6693	81	20	system	system	NOUN
ejpam-6693	81	21	.	.	PUNCT
ejpam-6693	82	1	here	here	ADV
ejpam-6693	82	2	a	a	DET
ejpam-6693	82	3	∈	∈	ADJ
ejpam-6693	82	4	rn×n	rn×n	NOUN
ejpam-6693	82	5	is	be	AUX
ejpam-6693	82	6	the	the	DET
ejpam-6693	82	7	constant	constant	ADJ
ejpam-6693	82	8	matrix	matrix	NOUN
ejpam-6693	82	9	of	of	ADP
ejpam-6693	82	10	the	the	DET
ejpam-6693	82	11	given	give	VERB
ejpam-6693	82	12	system	system	NOUN
ejpam-6693	82	13	,	,	PUNCT
ejpam-6693	82	14	and	and	CCONJ
ejpam-6693	82	15	h	h	NOUN
ejpam-6693	82	16	:	:	PUNCT
ejpam-6693	82	17	r+	r+	NOUN
ejpam-6693	82	18	×rn	×rn	PROPN
ejpam-6693	82	19	→	→	SYM
ejpam-6693	82	20	rn	rn	PROPN
ejpam-6693	82	21	is	be	AUX
ejpam-6693	82	22	the	the	DET
ejpam-6693	82	23	non	non	ADJ
ejpam-6693	82	24	linear	linear	ADJ
ejpam-6693	82	25	part	part	NOUN
ejpam-6693	82	26	of	of	ADP
ejpam-6693	82	27	the	the	DET
ejpam-6693	82	28	system	system	NOUN
ejpam-6693	82	29	,	,	PUNCT
ejpam-6693	82	30	where	where	SCONJ
ejpam-6693	82	31	h(t	h(t	PROPN
ejpam-6693	82	32	,	,	PUNCT
ejpam-6693	82	33	0	0	NUM
ejpam-6693	82	34	)	)	PUNCT
ejpam-6693	82	35	=	=	SYM
ejpam-6693	82	36	0	0	NUM
ejpam-6693	82	37	for	for	ADP
ejpam-6693	82	38	all	all	DET
ejpam-6693	82	39	t	t	PROPN
ejpam-6693	82	40	≥	≥	NOUN
ejpam-6693	82	41	0	0	NUM
ejpam-6693	82	42	.	.	PUNCT
ejpam-6693	83	1	the	the	DET
ejpam-6693	83	2	corresponding	corresponding	ADJ
ejpam-6693	83	3	linear	linear	NOUN
ejpam-6693	83	4	system	system	NOUN
ejpam-6693	83	5	is	be	AUX
ejpam-6693	83	6	dγ	dγ	ADP
ejpam-6693	83	7	t0	t0	PROPN
ejpam-6693	83	8	y(t	y(t	PUNCT
ejpam-6693	83	9	)	)	PUNCT
ejpam-6693	84	1	=	=	SYM
ejpam-6693	84	2	ay(t),y(t0	ay(t),y(t0	NOUN
ejpam-6693	84	3	)	)	PUNCT
ejpam-6693	85	1	=	=	SYM
ejpam-6693	85	2	y0	y0	NOUN
ejpam-6693	85	3	(	(	PUNCT
ejpam-6693	85	4	4	4	NUM
ejpam-6693	85	5	)	)	PUNCT
ejpam-6693	85	6	the	the	DET
ejpam-6693	85	7	detailed	detailed	ADJ
ejpam-6693	85	8	stability	stability	NOUN
ejpam-6693	85	9	of	of	ADP
ejpam-6693	85	10	the	the	DET
ejpam-6693	85	11	above	above	ADJ
ejpam-6693	85	12	linear	linear	NOUN
ejpam-6693	85	13	system	system	NOUN
ejpam-6693	85	14	is	be	AUX
ejpam-6693	85	15	given	give	VERB
ejpam-6693	85	16	in	in	ADP
ejpam-6693	85	17	[	[	NOUN
ejpam-6693	85	18	55	55	NUM
ejpam-6693	85	19	]	]	PUNCT
ejpam-6693	85	20	.	.	PUNCT
ejpam-6693	86	1	now	now	ADV
ejpam-6693	86	2	consider	consider	VERB
ejpam-6693	86	3	the	the	DET
ejpam-6693	86	4	following	follow	VERB
ejpam-6693	86	5	non	non	ADJ
ejpam-6693	86	6	-	-	ADJ
ejpam-6693	86	7	linear	linear	ADJ
ejpam-6693	86	8	system	system	NOUN
ejpam-6693	86	9	dγ	dγ	ADP
ejpam-6693	86	10	t0	t0	PROPN
ejpam-6693	86	11	y(t	y(t	PUNCT
ejpam-6693	86	12	)	)	PUNCT
ejpam-6693	87	1	=	=	SYM
ejpam-6693	87	2	ay(t	ay(t	PUNCT
ejpam-6693	87	3	)	)	PUNCT
ejpam-6693	88	1	+	+	PUNCT
ejpam-6693	88	2	bu+	bu+	NOUN
ejpam-6693	88	3	h(t	h(t	NUM
ejpam-6693	88	4	,	,	PUNCT
ejpam-6693	88	5	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	88	6	)	)	PUNCT
ejpam-6693	89	1	=	=	PUNCT
ejpam-6693	89	2	y0	y0	NOUN
ejpam-6693	89	3	where	where	SCONJ
ejpam-6693	89	4	b	b	X
ejpam-6693	89	5	∈	∈	PROPN
ejpam-6693	89	6	rn×p	rn×p	PROPN
ejpam-6693	89	7	is	be	AUX
ejpam-6693	89	8	the	the	DET
ejpam-6693	89	9	constant	constant	ADJ
ejpam-6693	89	10	matrix	matrix	NOUN
ejpam-6693	89	11	of	of	ADP
ejpam-6693	89	12	the	the	DET
ejpam-6693	89	13	given	give	VERB
ejpam-6693	89	14	system	system	NOUN
ejpam-6693	89	15	,	,	PUNCT
ejpam-6693	89	16	u	u	PROPN
ejpam-6693	89	17	∈	∈	NOUN
ejpam-6693	89	18	rp	rp	NOUN
ejpam-6693	89	19	is	be	AUX
ejpam-6693	89	20	the	the	DET
ejpam-6693	89	21	control	control	NOUN
ejpam-6693	89	22	input	input	NOUN
ejpam-6693	89	23	to	to	PART
ejpam-6693	89	24	be	be	AUX
ejpam-6693	89	25	defined	define	VERB
ejpam-6693	89	26	.	.	PUNCT
ejpam-6693	90	1	writing	write	VERB
ejpam-6693	90	2	the	the	DET
ejpam-6693	90	3	given	give	VERB
ejpam-6693	90	4	sir	sir	PROPN
ejpam-6693	90	5	mathematical	mathematical	ADJ
ejpam-6693	90	6	model	model	NOUN
ejpam-6693	90	7	of	of	ADP
ejpam-6693	90	8	computer	computer	NOUN
ejpam-6693	90	9	viruses	virus	NOUN
ejpam-6693	90	10	in	in	ADP
ejpam-6693	90	11	the	the	DET
ejpam-6693	90	12	form	form	NOUN
ejpam-6693	90	13	dγ	dγ	ADP
ejpam-6693	90	14	t0	t0	PROPN
ejpam-6693	90	15	y(t	y(t	PUNCT
ejpam-6693	90	16	)	)	PUNCT
ejpam-6693	91	1	=	=	SYM
ejpam-6693	91	2	ay(t	ay(t	PUNCT
ejpam-6693	91	3	)	)	PUNCT
ejpam-6693	92	1	+	+	PUNCT
ejpam-6693	92	2	bu+	bu+	NOUN
ejpam-6693	92	3	h(t	h(t	NUM
ejpam-6693	92	4	,	,	PUNCT
ejpam-6693	92	5	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	92	6	)	)	PUNCT
ejpam-6693	93	1	=	=	SYM
ejpam-6693	94	1	y0	y0	PROPN
ejpam-6693	94	2	r.	r.	NOUN
ejpam-6693	94	3	m.	m.	PROPN
ejpam-6693	94	4	kamble	kamble	PROPN
ejpam-6693	94	5	,	,	PUNCT
ejpam-6693	94	6	p.	p.	PROPN
ejpam-6693	94	7	r.	r.	PROPN
ejpam-6693	94	8	kulkarni	kulkarni	PROPN
ejpam-6693	94	9	/	/	SYM
ejpam-6693	94	10	eur	eur	PROPN
ejpam-6693	94	11	.	.	PUNCT
ejpam-6693	95	1	j.	j.	PROPN
ejpam-6693	95	2	pure	pure	PROPN
ejpam-6693	95	3	appl	appl	PROPN
ejpam-6693	95	4	.	.	PROPN
ejpam-6693	95	5	math	math	PROPN
ejpam-6693	95	6	,	,	PUNCT
ejpam-6693	95	7	18	18	NUM
ejpam-6693	95	8	(	(	PUNCT
ejpam-6693	95	9	4	4	NUM
ejpam-6693	95	10	)	)	PUNCT
ejpam-6693	95	11	(	(	PUNCT
ejpam-6693	95	12	2025	2025	NUM
ejpam-6693	95	13	)	)	PUNCT
ejpam-6693	95	14	,	,	PUNCT
ejpam-6693	95	15	6693	6693	NUM
ejpam-6693	95	16	5	5	NUM
ejpam-6693	95	17	of	of	ADP
ejpam-6693	95	18	40	40	NUM
ejpam-6693	95	19	where	where	SCONJ
ejpam-6693	95	20	a	a	PRON
ejpam-6693	95	21	=	=	X
ejpam-6693	95	22	−d	−d	ADV
ejpam-6693	95	23	0	0	NUM
ejpam-6693	95	24	0	0	SYM
ejpam-6693	95	25	0	0	NUM
ejpam-6693	96	1	−ϵ	−ϵ	PROPN
ejpam-6693	96	2	−d	−d	PROPN
ejpam-6693	96	3	0	0	PUNCT
ejpam-6693	97	1	ϵ	ϵ	ADP
ejpam-6693	97	2	−d	−d	ADJ
ejpam-6693	97	3			NOUN
ejpam-6693	97	4	,	,	PUNCT
ejpam-6693	97	5	b	b	X
ejpam-6693	97	6	=	=	PROPN
ejpam-6693	97	7	f1f2	f1f2	VERB
ejpam-6693	97	8	f3	f3	ADJ
ejpam-6693	97	9			NOUN
ejpam-6693	97	10	,	,	PUNCT
ejpam-6693	97	11	and	and	CCONJ
ejpam-6693	97	12	y(t	y(t	NUM
ejpam-6693	97	13	)	)	PUNCT
ejpam-6693	98	1	=	=	SYM
ejpam-6693	98	2	[	[	PUNCT
ejpam-6693	98	3	s(t	s(t	PROPN
ejpam-6693	98	4	)	)	PUNCT
ejpam-6693	98	5	i(t	i(t	PROPN
ejpam-6693	98	6	)	)	PUNCT
ejpam-6693	98	7	r(t	r(t	NOUN
ejpam-6693	98	8	)	)	PUNCT
ejpam-6693	98	9	]	]	PUNCT
ejpam-6693	98	10	and	and	CCONJ
ejpam-6693	98	11	h(t	h(t	PROPN
ejpam-6693	98	12	,	,	PUNCT
ejpam-6693	98	13	y(t	y(t	PROPN
ejpam-6693	98	14	)	)	PUNCT
ejpam-6693	98	15	)	)	PUNCT
ejpam-6693	99	1	=[	=[	NOUN
ejpam-6693	99	2	−λs(t)i(t	−λs(t)i(t	NOUN
ejpam-6693	99	3	)	)	PUNCT
ejpam-6693	99	4	,	,	PUNCT
ejpam-6693	99	5	λs(t)i(t	λs(t)i(t	PROPN
ejpam-6693	99	6	)	)	PUNCT
ejpam-6693	99	7	,	,	PUNCT
ejpam-6693	99	8	0	0	NUM
ejpam-6693	99	9	]	]	PUNCT
ejpam-6693	99	10	.	.	PUNCT
ejpam-6693	100	1	since	since	SCONJ
ejpam-6693	100	2	b	b	PROPN
ejpam-6693	100	3	=	=	PROPN
ejpam-6693	100	4	f1f2	f1f2	PROPN
ejpam-6693	100	5	f3	f3	PROPN
ejpam-6693	100	6	=	=	PROPN
ejpam-6693	100	7	00	00	NOUN
ejpam-6693	100	8	0	0	NUM
ejpam-6693	100	9			NOUN
ejpam-6693	100	10	,	,	PUNCT
ejpam-6693	100	11	the	the	DET
ejpam-6693	100	12	system	system	NOUN
ejpam-6693	100	13	convert	convert	VERB
ejpam-6693	100	14	into	into	ADP
ejpam-6693	100	15	dγ	dγ	PROPN
ejpam-6693	100	16	t0	t0	PROPN
ejpam-6693	100	17	y(t	y(t	PUNCT
ejpam-6693	100	18	)	)	PUNCT
ejpam-6693	101	1	=	=	PUNCT
ejpam-6693	101	2	ay(t	ay(t	PUNCT
ejpam-6693	101	3	)	)	PUNCT
ejpam-6693	102	1	+	+	CCONJ
ejpam-6693	102	2	h(t	h(t	PROPN
ejpam-6693	102	3	,	,	PUNCT
ejpam-6693	102	4	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	102	5	)	)	PUNCT
ejpam-6693	103	1	=	=	SYM
ejpam-6693	103	2	y0	y0	NOUN
ejpam-6693	103	3	(	(	PUNCT
ejpam-6693	103	4	5	5	NUM
ejpam-6693	103	5	)	)	PUNCT
ejpam-6693	103	6	definition	definition	NOUN
ejpam-6693	103	7	2	2	NUM
ejpam-6693	103	8	.	.	PUNCT
ejpam-6693	104	1	[	[	X
ejpam-6693	104	2	55	55	NUM
ejpam-6693	104	3	]	]	PUNCT
ejpam-6693	104	4	the	the	DET
ejpam-6693	104	5	non	non	ADJ
ejpam-6693	104	6	linear	linear	PROPN
ejpam-6693	104	7	function	function	NOUN
ejpam-6693	104	8	h(t	h(t	PROPN
ejpam-6693	104	9	,	,	PUNCT
ejpam-6693	104	10	y	y	NOUN
ejpam-6693	104	11	)	)	PUNCT
ejpam-6693	104	12	is	be	AUX
ejpam-6693	104	13	said	say	VERB
ejpam-6693	104	14	to	to	PART
ejpam-6693	104	15	be	be	AUX
ejpam-6693	104	16	one	one	NUM
ejpam-6693	104	17	sided	sided	ADJ
ejpam-6693	104	18	lipschitz	lipschitz	NOUN
ejpam-6693	104	19	if	if	SCONJ
ejpam-6693	104	20	there	there	PRON
ejpam-6693	104	21	exist	exist	VERB
ejpam-6693	104	22	ρ	ρ	NUM
ejpam-6693	104	23	∈	∈	PROPN
ejpam-6693	104	24	r	r	NOUN
ejpam-6693	104	25	such	such	ADJ
ejpam-6693	104	26	that	that	DET
ejpam-6693	104	27	⟨h(t	⟨h(t	PROPN
ejpam-6693	104	28	,	,	PUNCT
ejpam-6693	104	29	y1)−	y1)−	PROPN
ejpam-6693	104	30	h(t	h(t	PROPN
ejpam-6693	104	31	,	,	PUNCT
ejpam-6693	104	32	y2),y1	y2),y1	PROPN
ejpam-6693	104	33	−y2⟩	−y2⟩	PROPN
ejpam-6693	104	34	≤	≤	NUM
ejpam-6693	104	35	ρ(∥y1	ρ(∥y1	PROPN
ejpam-6693	104	36	−y2∥)2	−y2∥)2	NOUN
ejpam-6693	104	37	theorem	theorem	ADJ
ejpam-6693	104	38	1	1	NUM
ejpam-6693	104	39	.	.	PUNCT
ejpam-6693	105	1	[	[	X
ejpam-6693	105	2	55	55	NUM
ejpam-6693	105	3	]	]	PUNCT
ejpam-6693	105	4	let	let	VERB
ejpam-6693	105	5	y	y	PROPN
ejpam-6693	105	6	=	=	PUNCT
ejpam-6693	105	7	0be	0be	NOUN
ejpam-6693	105	8	an	an	DET
ejpam-6693	105	9	equilibrium	equilibrium	NOUN
ejpam-6693	105	10	point	point	NOUN
ejpam-6693	105	11	of	of	ADP
ejpam-6693	105	12	the	the	DET
ejpam-6693	105	13	system	system	NOUN
ejpam-6693	105	14	4	4	NUM
ejpam-6693	105	15	.	.	PUNCT
ejpam-6693	106	1	if	if	SCONJ
ejpam-6693	106	2	the	the	DET
ejpam-6693	106	3	state	state	NOUN
ejpam-6693	106	4	matrix	matrix	NOUN
ejpam-6693	106	5	a	a	PRON
ejpam-6693	106	6	is	be	AUX
ejpam-6693	106	7	hurwitz	hurwitz	PROPN
ejpam-6693	106	8	then	then	ADV
ejpam-6693	106	9	the	the	DET
ejpam-6693	106	10	trivial	trivial	ADJ
ejpam-6693	106	11	solution	solution	NOUN
ejpam-6693	106	12	of	of	ADP
ejpam-6693	106	13	the	the	DET
ejpam-6693	106	14	fractional	fractional	ADJ
ejpam-6693	106	15	linear	linear	ADJ
ejpam-6693	106	16	system	system	NOUN
ejpam-6693	106	17	4	4	NUM
ejpam-6693	106	18	is	be	AUX
ejpam-6693	106	19	fractional	fractional	ADJ
ejpam-6693	106	20	asymptotically	asymptotically	ADV
ejpam-6693	106	21	stable	stable	ADJ
ejpam-6693	106	22	.	.	PUNCT
ejpam-6693	107	1	theorem	theorem	NOUN
ejpam-6693	107	2	2	2	NUM
ejpam-6693	107	3	.	.	PUNCT
ejpam-6693	108	1	[	[	X
ejpam-6693	108	2	55	55	NUM
ejpam-6693	108	3	]	]	PUNCT
ejpam-6693	108	4	let	let	VERB
ejpam-6693	108	5	y	y	PROPN
ejpam-6693	108	6	=	=	SYM
ejpam-6693	108	7	0	0	NUM
ejpam-6693	108	8	be	be	AUX
ejpam-6693	108	9	an	an	DET
ejpam-6693	108	10	equilibrium	equilibrium	NOUN
ejpam-6693	108	11	point	point	NOUN
ejpam-6693	108	12	of	of	ADP
ejpam-6693	108	13	the	the	DET
ejpam-6693	108	14	system	system	NOUN
ejpam-6693	108	15	5	5	NUM
ejpam-6693	108	16	.	.	PUNCT
ejpam-6693	109	1	let	let	VERB
ejpam-6693	109	2	that	that	SCONJ
ejpam-6693	109	3	the	the	DET
ejpam-6693	109	4	state	state	NOUN
ejpam-6693	109	5	matrix	matrix	NOUN
ejpam-6693	109	6	a	a	PRON
ejpam-6693	109	7	is	be	AUX
ejpam-6693	109	8	hurwitz	hurwitz	PROPN
ejpam-6693	109	9	and	and	CCONJ
ejpam-6693	109	10	the	the	DET
ejpam-6693	109	11	condition	condition	NOUN
ejpam-6693	109	12	∥h(t	∥h(t	ADJ
ejpam-6693	109	13	,	,	PUNCT
ejpam-6693	109	14	y(t))∥	y(t))∥	PRON
ejpam-6693	109	15	<	<	X
ejpam-6693	109	16	ρ	ρ	PROPN
ejpam-6693	109	17	holds	hold	VERB
ejpam-6693	109	18	.	.	PUNCT
ejpam-6693	110	1	if	if	SCONJ
ejpam-6693	110	2	there	there	PRON
ejpam-6693	110	3	exist	exist	VERB
ejpam-6693	110	4	a	a	DET
ejpam-6693	110	5	positive	positive	ADJ
ejpam-6693	110	6	definite	definite	ADJ
ejpam-6693	110	7	matrix	matrix	NOUN
ejpam-6693	110	8	p	p	NOUN
ejpam-6693	110	9	such	such	ADJ
ejpam-6693	110	10	that	that	SCONJ
ejpam-6693	110	11	the	the	DET
ejpam-6693	110	12	following	follow	VERB
ejpam-6693	110	13	inequality	inequality	NOUN
ejpam-6693	110	14	holds	hold	VERB
ejpam-6693	110	15	ρ	ρ	PROPN
ejpam-6693	110	16	<	<	X
ejpam-6693	110	17	λmin(q	λmin(q	PROPN
ejpam-6693	110	18	)	)	PUNCT
ejpam-6693	110	19	2λmax(p	2λmax(p	NUM
ejpam-6693	110	20	)	)	PUNCT
ejpam-6693	110	21	where	where	SCONJ
ejpam-6693	110	22	λ	λ	PROPN
ejpam-6693	110	23	is	be	AUX
ejpam-6693	110	24	eigen	eigen	PROPN
ejpam-6693	110	25	value	value	NOUN
ejpam-6693	110	26	of	of	ADP
ejpam-6693	110	27	matrix	matrix	NOUN
ejpam-6693	110	28	.	.	PUNCT
ejpam-6693	111	1	where	where	SCONJ
ejpam-6693	111	2	atp	atp	PROPN
ejpam-6693	111	3	+	+	CCONJ
ejpam-6693	111	4	pa	pa	PROPN
ejpam-6693	111	5	=	=	SYM
ejpam-6693	111	6	−q	−q	NOUN
ejpam-6693	111	7	,	,	PUNCT
ejpam-6693	111	8	then	then	ADV
ejpam-6693	111	9	the	the	DET
ejpam-6693	111	10	trivial	trivial	ADJ
ejpam-6693	111	11	solution	solution	NOUN
ejpam-6693	111	12	of	of	ADP
ejpam-6693	111	13	the	the	DET
ejpam-6693	111	14	fractional	fractional	ADJ
ejpam-6693	111	15	linear	linear	ADJ
ejpam-6693	111	16	system	system	NOUN
ejpam-6693	111	17	5	5	NUM
ejpam-6693	111	18	is	be	AUX
ejpam-6693	111	19	fractional	fractional	ADJ
ejpam-6693	111	20	asymptotically	asymptotically	ADV
ejpam-6693	111	21	stable	stable	ADJ
ejpam-6693	111	22	.	.	PUNCT
ejpam-6693	112	1	theorem	theorem	NOUN
ejpam-6693	112	2	3	3	NUM
ejpam-6693	112	3	.	.	PUNCT
ejpam-6693	113	1	[	[	X
ejpam-6693	113	2	55	55	NUM
ejpam-6693	113	3	]	]	X
ejpam-6693	113	4	if	if	SCONJ
ejpam-6693	113	5	the	the	DET
ejpam-6693	113	6	function	function	NOUN
ejpam-6693	113	7	h(t	h(t	PROPN
ejpam-6693	113	8	,	,	PUNCT
ejpam-6693	113	9	y(t	y(t	PROPN
ejpam-6693	113	10	)	)	PUNCT
ejpam-6693	113	11	)	)	PUNCT
ejpam-6693	113	12	is	be	AUX
ejpam-6693	113	13	lipschitz	lipschitz	ADJ
ejpam-6693	113	14	continuous	continuous	ADJ
ejpam-6693	113	15	,	,	PUNCT
ejpam-6693	113	16	l	l	NOUN
ejpam-6693	113	17	is	be	AUX
ejpam-6693	113	18	lipschitz	lipschitz	ADV
ejpam-6693	113	19	constant	constant	ADJ
ejpam-6693	113	20	.	.	PUNCT
ejpam-6693	114	1	assume	assume	VERB
ejpam-6693	114	2	that	that	SCONJ
ejpam-6693	114	3	the	the	DET
ejpam-6693	114	4	following	follow	VERB
ejpam-6693	114	5	assumption	assumption	NOUN
ejpam-6693	114	6	is	be	AUX
ejpam-6693	114	7	hold	hold	NOUN
ejpam-6693	114	8	:	:	PUNCT
ejpam-6693	114	9	then	then	ADV
ejpam-6693	114	10	there	there	PRON
ejpam-6693	114	11	exists	exist	VERB
ejpam-6693	114	12	a	a	DET
ejpam-6693	114	13	positive	positive	ADJ
ejpam-6693	114	14	symmetric	symmetric	ADJ
ejpam-6693	114	15	matrix	matrix	NOUN
ejpam-6693	114	16	p	p	NOUN
ejpam-6693	114	17	and	and	CCONJ
ejpam-6693	114	18	positive	positive	ADJ
ejpam-6693	114	19	constant	constant	ADJ
ejpam-6693	114	20	ϵ	ϵ	ADP
ejpam-6693	114	21	such	such	ADJ
ejpam-6693	114	22	that	that	SCONJ
ejpam-6693	114	23	the	the	DET
ejpam-6693	114	24	following	follow	VERB
ejpam-6693	114	25	inequalities	inequality	NOUN
ejpam-6693	114	26	hold	hold	VERB
ejpam-6693	114	27	atp	atp	PROPN
ejpam-6693	114	28	+	+	CCONJ
ejpam-6693	114	29	pa+	pa+	ADJ
ejpam-6693	114	30	ϵi	ϵi	NOUN
ejpam-6693	114	31	<	<	X
ejpam-6693	114	32	0	0	PUNCT
ejpam-6693	114	33	and	and	CCONJ
ejpam-6693	114	34	l	l	NOUN
ejpam-6693	114	35	<	<	X
ejpam-6693	114	36	ϵ	ϵ	X
ejpam-6693	114	37	2λmaxp	2λmaxp	NUM
ejpam-6693	114	38	where	where	SCONJ
ejpam-6693	114	39	λ	λ	PROPN
ejpam-6693	114	40	is	be	AUX
ejpam-6693	114	41	eigen	eigen	PROPN
ejpam-6693	114	42	value	value	NOUN
ejpam-6693	114	43	of	of	ADP
ejpam-6693	114	44	matrix	matrix	NOUN
ejpam-6693	114	45	,	,	PUNCT
ejpam-6693	114	46	then	then	ADV
ejpam-6693	114	47	the	the	DET
ejpam-6693	114	48	trivial	trivial	ADJ
ejpam-6693	114	49	solution	solution	NOUN
ejpam-6693	114	50	of	of	ADP
ejpam-6693	114	51	fractional	fractional	ADJ
ejpam-6693	114	52	system	system	NOUN
ejpam-6693	114	53	5	5	NUM
ejpam-6693	114	54	is	be	AUX
ejpam-6693	114	55	asymptotically	asymptotically	ADV
ejpam-6693	114	56	stable	stable	ADJ
ejpam-6693	114	57	.	.	PUNCT
ejpam-6693	115	1	the	the	DET
ejpam-6693	115	2	given	give	VERB
ejpam-6693	115	3	sir	sir	PROPN
ejpam-6693	115	4	mathematical	mathematical	ADJ
ejpam-6693	115	5	model	model	NOUN
ejpam-6693	115	6	of	of	ADP
ejpam-6693	115	7	computer	computer	NOUN
ejpam-6693	115	8	viruses	virus	NOUN
ejpam-6693	115	9	can	can	AUX
ejpam-6693	115	10	be	be	AUX
ejpam-6693	115	11	written	write	VERB
ejpam-6693	115	12	in	in	ADP
ejpam-6693	115	13	the	the	DET
ejpam-6693	115	14	form	form	NOUN
ejpam-6693	115	15	dγ	dγ	ADP
ejpam-6693	115	16	t0	t0	PROPN
ejpam-6693	115	17	y(t	y(t	PUNCT
ejpam-6693	115	18	)	)	PUNCT
ejpam-6693	116	1	=	=	SYM
ejpam-6693	116	2	ay(t	ay(t	PUNCT
ejpam-6693	116	3	)	)	PUNCT
ejpam-6693	117	1	+	+	PUNCT
ejpam-6693	117	2	bu+	bu+	NOUN
ejpam-6693	117	3	h(t	h(t	NUM
ejpam-6693	117	4	,	,	PUNCT
ejpam-6693	117	5	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	117	6	)	)	PUNCT
ejpam-6693	118	1	=	=	PUNCT
ejpam-6693	118	2	y0	y0	NOUN
ejpam-6693	118	3	where	where	SCONJ
ejpam-6693	118	4	a	a	DET
ejpam-6693	118	5	=	=	X
ejpam-6693	118	6	−d	−d	ADV
ejpam-6693	118	7	0	0	NUM
ejpam-6693	118	8	0	0	SYM
ejpam-6693	118	9	0	0	NUM
ejpam-6693	119	1	−ϵ	−ϵ	PROPN
ejpam-6693	119	2	−d	−d	PROPN
ejpam-6693	119	3	0	0	PUNCT
ejpam-6693	120	1	ϵ	ϵ	ADP
ejpam-6693	120	2	−d	−d	ADJ
ejpam-6693	120	3			NOUN
ejpam-6693	120	4	,	,	PUNCT
ejpam-6693	120	5	b	b	X
ejpam-6693	120	6	=	=	PROPN
ejpam-6693	120	7	f1f2	f1f2	VERB
ejpam-6693	120	8	f3	f3	ADJ
ejpam-6693	120	9			NOUN
ejpam-6693	120	10	,	,	PUNCT
ejpam-6693	120	11	y(t	y(t	NUM
ejpam-6693	120	12	)	)	PUNCT
ejpam-6693	121	1	=	=	SYM
ejpam-6693	121	2	[	[	PUNCT
ejpam-6693	121	3	s(t	s(t	PROPN
ejpam-6693	121	4	)	)	PUNCT
ejpam-6693	121	5	i(t	i(t	PROPN
ejpam-6693	121	6	)	)	PUNCT
ejpam-6693	121	7	r(t	r(t	NOUN
ejpam-6693	121	8	)	)	PUNCT
ejpam-6693	121	9	]	]	PUNCT
ejpam-6693	121	10	and	and	CCONJ
ejpam-6693	121	11	h(t	h(t	PROPN
ejpam-6693	121	12	,	,	PUNCT
ejpam-6693	121	13	y(t	y(t	NOUN
ejpam-6693	121	14	)	)	PUNCT
ejpam-6693	121	15	)	)	PUNCT
ejpam-6693	122	1	=	=	PUNCT
ejpam-6693	122	2	[	[	PUNCT
ejpam-6693	122	3	−λs(t)i(t	−λs(t)i(t	NOUN
ejpam-6693	122	4	)	)	PUNCT
ejpam-6693	122	5	,	,	PUNCT
ejpam-6693	122	6	λs(t)i(t	λs(t)i(t	PROPN
ejpam-6693	122	7	)	)	PUNCT
ejpam-6693	122	8	,	,	PUNCT
ejpam-6693	122	9	0	0	NUM
ejpam-6693	122	10	]	]	PUNCT
ejpam-6693	122	11	since	since	SCONJ
ejpam-6693	122	12	b	b	PROPN
ejpam-6693	122	13	=	=	PROPN
ejpam-6693	122	14	f1f2	f1f2	PROPN
ejpam-6693	122	15	f3	f3	PROPN
ejpam-6693	122	16	=	=	PROPN
ejpam-6693	122	17	00	00	NOUN
ejpam-6693	122	18	0	0	NUM
ejpam-6693	122	19			NOUN
ejpam-6693	122	20	,	,	PUNCT
ejpam-6693	122	21	the	the	DET
ejpam-6693	122	22	system	system	NOUN
ejpam-6693	122	23	convert	convert	VERB
ejpam-6693	122	24	into	into	ADP
ejpam-6693	122	25	dγ	dγ	PROPN
ejpam-6693	122	26	t0	t0	PROPN
ejpam-6693	122	27	y(t	y(t	PUNCT
ejpam-6693	122	28	)	)	PUNCT
ejpam-6693	122	29	=	=	PUNCT
ejpam-6693	122	30	ay(t	ay(t	PUNCT
ejpam-6693	122	31	)	)	PUNCT
ejpam-6693	123	1	+	+	CCONJ
ejpam-6693	123	2	h(t	h(t	PROPN
ejpam-6693	123	3	,	,	PUNCT
ejpam-6693	123	4	y(t)),y(t0	y(t)),y(t0	PROPN
ejpam-6693	123	5	)	)	PUNCT
ejpam-6693	124	1	=	=	PUNCT
ejpam-6693	124	2	y0	y0	NOUN
ejpam-6693	124	3	for	for	ADP
ejpam-6693	124	4	the	the	DET
ejpam-6693	124	5	given	give	VERB
ejpam-6693	124	6	system	system	NOUN
ejpam-6693	124	7	a	a	PRON
ejpam-6693	124	8	=	=	X
ejpam-6693	124	9	−d	−d	ADV
ejpam-6693	124	10	0	0	NUM
ejpam-6693	124	11	0	0	SYM
ejpam-6693	124	12	0	0	NUM
ejpam-6693	125	1	−ϵ	−ϵ	PROPN
ejpam-6693	125	2	−d	−d	PROPN
ejpam-6693	125	3	0	0	PUNCT
ejpam-6693	126	1	ϵ	ϵ	ADP
ejpam-6693	126	2	−d	−d	PROPN
ejpam-6693	126	3	=	=	PROPN
ejpam-6693	126	4	−0.1	−0.1	PROPN
ejpam-6693	126	5	0	0	NUM
ejpam-6693	126	6	0	0	NUM
ejpam-6693	126	7	0	0	NUM
ejpam-6693	126	8	−0.1	−0.1	PROPN
ejpam-6693	126	9	−0.1	−0.1	NOUN
ejpam-6693	126	10	0	0	NUM
ejpam-6693	126	11	0.1	0.1	NUM
ejpam-6693	126	12	0.1	0.1	NUM
ejpam-6693	126	13			NOUN
ejpam-6693	126	14	a	a	PRON
ejpam-6693	126	15	is	be	AUX
ejpam-6693	126	16	hurwitz	hurwitz	NOUN
ejpam-6693	126	17	matrix	matrix	NOUN
ejpam-6693	126	18	since	since	SCONJ
ejpam-6693	126	19	the	the	DET
ejpam-6693	126	20	eigen	eigen	PROPN
ejpam-6693	126	21	values	value	NOUN
ejpam-6693	126	22	are	be	AUX
ejpam-6693	126	23	λ1	λ1	ADJ
ejpam-6693	126	24	=	=	SYM
ejpam-6693	126	25	−0.1	−0.1	PROPN
ejpam-6693	126	26	,	,	PUNCT
ejpam-6693	126	27	r.	r.	PROPN
ejpam-6693	126	28	m.	m.	PROPN
ejpam-6693	126	29	kamble	kamble	PROPN
ejpam-6693	126	30	,	,	PUNCT
ejpam-6693	127	1	p.	p.	PROPN
ejpam-6693	127	2	r.	r.	PROPN
ejpam-6693	128	1	kulkarni	kulkarni	PROPN
ejpam-6693	128	2	/	/	SYM
ejpam-6693	128	3	eur	eur	PROPN
ejpam-6693	128	4	.	.	PUNCT
ejpam-6693	129	1	j.	j.	PROPN
ejpam-6693	129	2	pure	pure	PROPN
ejpam-6693	129	3	appl	appl	PROPN
ejpam-6693	129	4	.	.	PROPN
ejpam-6693	129	5	math	math	PROPN
ejpam-6693	129	6	,	,	PUNCT
ejpam-6693	129	7	18	18	NUM
ejpam-6693	129	8	(	(	PUNCT
ejpam-6693	129	9	4	4	NUM
ejpam-6693	129	10	)	)	PUNCT
ejpam-6693	129	11	(	(	PUNCT
ejpam-6693	129	12	2025	2025	NUM
ejpam-6693	129	13	)	)	PUNCT
ejpam-6693	129	14	,	,	PUNCT
ejpam-6693	129	15	6693	6693	NUM
ejpam-6693	129	16	6	6	NUM
ejpam-6693	129	17	of	of	ADP
ejpam-6693	129	18	40	40	NUM
ejpam-6693	129	19	λ2	λ2	NOUN
ejpam-6693	129	20	=	=	NOUN
ejpam-6693	129	21	0.1	0.1	NUM
ejpam-6693	129	22	+	+	CCONJ
ejpam-6693	129	23	0.44721359549996i	0.44721359549996i	PROPN
ejpam-6693	129	24	,	,	PUNCT
ejpam-6693	129	25	λ3	λ3	PROPN
ejpam-6693	129	26	=	=	NOUN
ejpam-6693	129	27	0.1−	0.1−	NOUN
ejpam-6693	129	28	0.44721359549996i	0.44721359549996i	PROPN
ejpam-6693	130	1	we	we	PRON
ejpam-6693	130	2	can	can	AUX
ejpam-6693	130	3	find	find	VERB
ejpam-6693	130	4	positive	positive	ADJ
ejpam-6693	130	5	definite	definite	ADJ
ejpam-6693	130	6	matrices	matrix	NOUN
ejpam-6693	130	7	p	p	NOUN
ejpam-6693	130	8	and	and	CCONJ
ejpam-6693	130	9	q	q	NOUN
ejpam-6693	130	10	as	as	SCONJ
ejpam-6693	130	11	given	give	VERB
ejpam-6693	130	12	below	below	ADP
ejpam-6693	130	13	where	where	SCONJ
ejpam-6693	130	14	p	p	NOUN
ejpam-6693	130	15	=	=	NOUN
ejpam-6693	130	16	10	10	NOUN
ejpam-6693	130	17	0	0	NUM
ejpam-6693	130	18	0	0	NUM
ejpam-6693	130	19	0	0	NUM
ejpam-6693	130	20	10	10	NUM
ejpam-6693	130	21	0	0	NUM
ejpam-6693	130	22	0	0	NUM
ejpam-6693	130	23	0	0	NUM
ejpam-6693	130	24	10	10	NUM
ejpam-6693	130	25			NOUN
ejpam-6693	130	26	,	,	PUNCT
ejpam-6693	130	27	q	q	NOUN
ejpam-6693	130	28	=	=	SYM
ejpam-6693	130	29	2	2	NOUN
ejpam-6693	130	30	0	0	NUM
ejpam-6693	130	31	0	0	NUM
ejpam-6693	130	32	0	0	NUM
ejpam-6693	130	33	2	2	NUM
ejpam-6693	130	34	0	0	NUM
ejpam-6693	130	35	0	0	NUM
ejpam-6693	130	36	0	0	NUM
ejpam-6693	130	37	2	2	NUM
ejpam-6693	130	38			NOUN
ejpam-6693	130	39	,	,	PUNCT
ejpam-6693	130	40	ρ	ρ	NOUN
ejpam-6693	130	41	=	=	SYM
ejpam-6693	130	42	1	1	NUM
ejpam-6693	130	43	10	10	NUM
ejpam-6693	130	44	.	.	PUNCT
ejpam-6693	131	1	with	with	ADP
ejpam-6693	131	2	these	these	DET
ejpam-6693	131	3	values	value	NOUN
ejpam-6693	131	4	,	,	PUNCT
ejpam-6693	131	5	all	all	DET
ejpam-6693	131	6	the	the	DET
ejpam-6693	131	7	conditions	condition	NOUN
ejpam-6693	131	8	of	of	ADP
ejpam-6693	131	9	theorem	theorem	ADJ
ejpam-6693	131	10	2	2	NUM
ejpam-6693	131	11	are	be	AUX
ejpam-6693	131	12	satisfied	satisfied	ADJ
ejpam-6693	131	13	.	.	PUNCT
ejpam-6693	132	1	also	also	ADV
ejpam-6693	132	2	,	,	PUNCT
ejpam-6693	132	3	with	with	ADP
ejpam-6693	132	4	the	the	DET
ejpam-6693	132	5	p	p	NOUN
ejpam-6693	132	6	given	give	VERB
ejpam-6693	132	7	as	as	ADP
ejpam-6693	132	8	above	above	ADP
ejpam-6693	132	9	andϵ	andϵ	NOUN
ejpam-6693	132	10	=	=	SYM
ejpam-6693	132	11	1	1	NUM
ejpam-6693	132	12	l	l	NOUN
ejpam-6693	132	13	=	=	SYM
ejpam-6693	132	14	1	1	NUM
ejpam-6693	132	15	20	20	NUM
ejpam-6693	132	16	all	all	DET
ejpam-6693	132	17	the	the	DET
ejpam-6693	132	18	condition	condition	NOUN
ejpam-6693	132	19	of	of	ADP
ejpam-6693	132	20	theorem	theorem	ADJ
ejpam-6693	132	21	3	3	NUM
ejpam-6693	132	22	is	be	AUX
ejpam-6693	132	23	satisfied	satisfied	ADJ
ejpam-6693	132	24	.	.	PUNCT
ejpam-6693	133	1	therefore	therefore	ADV
ejpam-6693	133	2	by	by	ADP
ejpam-6693	133	3	theorem	theorem	NOUN
ejpam-6693	133	4	3	3	NUM
ejpam-6693	133	5	the	the	DET
ejpam-6693	133	6	given	give	VERB
ejpam-6693	133	7	fractional	fractional	ADJ
ejpam-6693	133	8	non	non	ADJ
ejpam-6693	133	9	linear	linear	PROPN
ejpam-6693	133	10	system	system	NOUN
ejpam-6693	133	11	of	of	ADP
ejpam-6693	133	12	sir	sir	NOUN
ejpam-6693	133	13	model	model	NOUN
ejpam-6693	133	14	is	be	AUX
ejpam-6693	133	15	also	also	ADV
ejpam-6693	133	16	asymptotically	asymptotically	ADV
ejpam-6693	133	17	stable	stable	ADJ
ejpam-6693	133	18	.	.	PUNCT
ejpam-6693	134	1	4	4	X
ejpam-6693	134	2	.	.	X
ejpam-6693	134	3	numerical	numerical	ADJ
ejpam-6693	134	4	methods	method	NOUN
ejpam-6693	134	5	the	the	DET
ejpam-6693	134	6	fractional	fractional	ADJ
ejpam-6693	134	7	differential	differential	NOUN
ejpam-6693	134	8	transform	transform	NOUN
ejpam-6693	134	9	method	method	NOUN
ejpam-6693	134	10	(	(	PUNCT
ejpam-6693	134	11	fdtm	fdtm	NOUN
ejpam-6693	134	12	)	)	PUNCT
ejpam-6693	134	13	is	be	AUX
ejpam-6693	134	14	used	use	VERB
ejpam-6693	134	15	to	to	PART
ejpam-6693	134	16	solve	solve	VERB
ejpam-6693	134	17	the	the	DET
ejpam-6693	134	18	non	non	ADJ
ejpam-6693	134	19	-	-	ADJ
ejpam-6693	134	20	linear	linear	ADJ
ejpam-6693	134	21	fractional	fractional	ADJ
ejpam-6693	134	22	order	order	NOUN
ejpam-6693	134	23	system	system	NOUN
ejpam-6693	134	24	of	of	ADP
ejpam-6693	134	25	the	the	DET
ejpam-6693	134	26	susceptible	susceptible	ADJ
ejpam-6693	134	27	-	-	PUNCT
ejpam-6693	134	28	infected	infect	VERB
ejpam-6693	134	29	-	-	PUNCT
ejpam-6693	134	30	recovered	recover	VERB
ejpam-6693	134	31	mathematical	mathematical	ADJ
ejpam-6693	134	32	model	model	NOUN
ejpam-6693	134	33	of	of	ADP
ejpam-6693	134	34	computer	computer	NOUN
ejpam-6693	134	35	viruses	virus	NOUN
ejpam-6693	134	36	.	.	PUNCT
ejpam-6693	135	1	in	in	ADP
ejpam-6693	135	2	this	this	DET
ejpam-6693	135	3	section	section	NOUN
ejpam-6693	135	4	,	,	PUNCT
ejpam-6693	135	5	we	we	PRON
ejpam-6693	135	6	apply	apply	VERB
ejpam-6693	135	7	fdtm	fdtm	NOUN
ejpam-6693	135	8	to	to	PART
ejpam-6693	135	9	solve	solve	VERB
ejpam-6693	135	10	the	the	DET
ejpam-6693	135	11	system	system	NOUN
ejpam-6693	135	12	of	of	ADP
ejpam-6693	135	13	equations	equation	NOUN
ejpam-6693	135	14	1	1	NUM
ejpam-6693	135	15	.	.	PUNCT
ejpam-6693	136	1	the	the	DET
ejpam-6693	136	2	numerical	numerical	ADJ
ejpam-6693	136	3	solutions	solution	NOUN
ejpam-6693	136	4	are	be	AUX
ejpam-6693	136	5	compared	compare	VERB
ejpam-6693	136	6	with	with	ADP
ejpam-6693	136	7	those	those	PRON
ejpam-6693	136	8	obtained	obtain	VERB
ejpam-6693	136	9	using	use	VERB
ejpam-6693	136	10	the	the	DET
ejpam-6693	136	11	differential	differential	ADJ
ejpam-6693	136	12	transform	transform	NOUN
ejpam-6693	136	13	method	method	NOUN
ejpam-6693	136	14	(	(	PUNCT
ejpam-6693	136	15	dtm	dtm	PROPN
ejpam-6693	136	16	)	)	PUNCT
ejpam-6693	136	17	,	,	PUNCT
ejpam-6693	136	18	verifying	verify	VERB
ejpam-6693	136	19	that	that	SCONJ
ejpam-6693	136	20	our	our	PRON
ejpam-6693	136	21	proposed	propose	VERB
ejpam-6693	136	22	results	result	NOUN
ejpam-6693	136	23	are	be	AUX
ejpam-6693	136	24	valid	valid	ADJ
ejpam-6693	136	25	when	when	SCONJ
ejpam-6693	136	26	fractional	fractional	ADJ
ejpam-6693	136	27	order	order	NOUN
ejpam-6693	136	28	derivative	derivative	ADJ
ejpam-6693	136	29	γ	γ	X
ejpam-6693	136	30	=	=	SYM
ejpam-6693	136	31	1	1	NUM
ejpam-6693	136	32	.	.	PUNCT
ejpam-6693	137	1	additionally	additionally	ADV
ejpam-6693	137	2	,	,	PUNCT
ejpam-6693	137	3	we	we	PRON
ejpam-6693	137	4	have	have	AUX
ejpam-6693	137	5	taken	take	VERB
ejpam-6693	137	6	five	five	NUM
ejpam-6693	137	7	iterations	iteration	NOUN
ejpam-6693	137	8	of	of	ADP
ejpam-6693	137	9	the	the	DET
ejpam-6693	137	10	solutions	solution	NOUN
ejpam-6693	137	11	(	(	PUNCT
ejpam-6693	137	12	k	k	NOUN
ejpam-6693	137	13	=	=	SYM
ejpam-6693	137	14	5	5	NUM
ejpam-6693	137	15	)	)	PUNCT
ejpam-6693	137	16	and	and	CCONJ
ejpam-6693	137	17	compute	compute	VERB
ejpam-6693	137	18	the	the	DET
ejpam-6693	137	19	values	value	NOUN
ejpam-6693	137	20	of	of	ADP
ejpam-6693	137	21	s(t	s(t	PROPN
ejpam-6693	137	22	)	)	PUNCT
ejpam-6693	137	23	,	,	PUNCT
ejpam-6693	137	24	i(t	i(t	PROPN
ejpam-6693	137	25	)	)	PUNCT
ejpam-6693	137	26	,	,	PUNCT
ejpam-6693	137	27	and	and	CCONJ
ejpam-6693	137	28	r(t	r(t	NOUN
ejpam-6693	137	29	)	)	PUNCT
ejpam-6693	137	30	for	for	ADP
ejpam-6693	137	31	different	different	ADJ
ejpam-6693	137	32	time	time	NOUN
ejpam-6693	137	33	points	point	NOUN
ejpam-6693	137	34	.	.	PUNCT
ejpam-6693	138	1	the	the	DET
ejpam-6693	138	2	laplace	laplace	PROPN
ejpam-6693	138	3	adomian	adomian	NOUN
ejpam-6693	138	4	decomposition	decomposition	NOUN
ejpam-6693	138	5	method	method	NOUN
ejpam-6693	138	6	(	(	PUNCT
ejpam-6693	138	7	ladm	ladm	ADJ
ejpam-6693	138	8	)	)	PUNCT
ejpam-6693	138	9	is	be	AUX
ejpam-6693	138	10	also	also	ADV
ejpam-6693	138	11	used	use	VERB
ejpam-6693	138	12	to	to	PART
ejpam-6693	138	13	solve	solve	VERB
ejpam-6693	138	14	the	the	DET
ejpam-6693	138	15	non	non	ADJ
ejpam-6693	138	16	-	-	ADJ
ejpam-6693	138	17	linear	linear	ADJ
ejpam-6693	138	18	fractional	fractional	ADJ
ejpam-6693	138	19	order	order	NOUN
ejpam-6693	138	20	system	system	NOUN
ejpam-6693	138	21	of	of	ADP
ejpam-6693	138	22	the	the	DET
ejpam-6693	138	23	susceptible	susceptible	ADJ
ejpam-6693	138	24	-	-	PUNCT
ejpam-6693	138	25	infected	infect	VERB
ejpam-6693	138	26	-	-	PUNCT
ejpam-6693	138	27	recovered	recover	VERB
ejpam-6693	138	28	mathematical	mathematical	ADJ
ejpam-6693	138	29	model	model	NOUN
ejpam-6693	138	30	of	of	ADP
ejpam-6693	138	31	computer	computer	NOUN
ejpam-6693	138	32	viruses	virus	NOUN
ejpam-6693	138	33	.	.	PUNCT
ejpam-6693	139	1	in	in	ADP
ejpam-6693	139	2	this	this	DET
ejpam-6693	139	3	section	section	NOUN
ejpam-6693	139	4	,	,	PUNCT
ejpam-6693	139	5	we	we	PRON
ejpam-6693	139	6	apply	apply	VERB
ejpam-6693	139	7	ladm	ladm	NOUN
ejpam-6693	139	8	to	to	PART
ejpam-6693	139	9	solve	solve	VERB
ejpam-6693	139	10	the	the	DET
ejpam-6693	139	11	system	system	NOUN
ejpam-6693	139	12	of	of	ADP
ejpam-6693	139	13	equations	equation	NOUN
ejpam-6693	139	14	1	1	NUM
ejpam-6693	139	15	.	.	PUNCT
ejpam-6693	140	1	the	the	DET
ejpam-6693	140	2	numerical	numerical	ADJ
ejpam-6693	140	3	solutions	solution	NOUN
ejpam-6693	140	4	are	be	AUX
ejpam-6693	140	5	compared	compare	VERB
ejpam-6693	140	6	,	,	PUNCT
ejpam-6693	140	7	verifying	verify	VERB
ejpam-6693	140	8	that	that	SCONJ
ejpam-6693	140	9	our	our	PRON
ejpam-6693	140	10	proposed	propose	VERB
ejpam-6693	140	11	results	result	NOUN
ejpam-6693	140	12	are	be	AUX
ejpam-6693	140	13	valid	valid	ADJ
ejpam-6693	140	14	when	when	SCONJ
ejpam-6693	140	15	fractional	fractional	ADJ
ejpam-6693	140	16	order	order	NOUN
ejpam-6693	140	17	derivative	derivative	ADJ
ejpam-6693	140	18	γ	γ	X
ejpam-6693	140	19	=	=	SYM
ejpam-6693	140	20	1	1	NUM
ejpam-6693	140	21	.	.	PUNCT
ejpam-6693	141	1	additionally	additionally	ADV
ejpam-6693	141	2	,	,	PUNCT
ejpam-6693	141	3	we	we	PRON
ejpam-6693	141	4	have	have	AUX
ejpam-6693	141	5	taken	take	VERB
ejpam-6693	141	6	five	five	NUM
ejpam-6693	141	7	iterations	iteration	NOUN
ejpam-6693	141	8	of	of	ADP
ejpam-6693	141	9	the	the	DET
ejpam-6693	141	10	solutions	solution	NOUN
ejpam-6693	141	11	(	(	PUNCT
ejpam-6693	141	12	k	k	NOUN
ejpam-6693	141	13	=	=	SYM
ejpam-6693	141	14	5	5	NUM
ejpam-6693	141	15	)	)	PUNCT
ejpam-6693	141	16	and	and	CCONJ
ejpam-6693	141	17	compute	compute	VERB
ejpam-6693	141	18	the	the	DET
ejpam-6693	141	19	values	value	NOUN
ejpam-6693	141	20	of	of	ADP
ejpam-6693	141	21	s(t	s(t	PROPN
ejpam-6693	141	22	)	)	PUNCT
ejpam-6693	141	23	,	,	PUNCT
ejpam-6693	141	24	i(t	i(t	PROPN
ejpam-6693	141	25	)	)	PUNCT
ejpam-6693	141	26	,	,	PUNCT
ejpam-6693	141	27	and	and	CCONJ
ejpam-6693	141	28	r(t	r(t	NOUN
ejpam-6693	141	29	)	)	PUNCT
ejpam-6693	141	30	for	for	ADP
ejpam-6693	141	31	different	different	ADJ
ejpam-6693	141	32	time	time	NOUN
ejpam-6693	141	33	points	point	NOUN
ejpam-6693	141	34	.	.	PUNCT
ejpam-6693	142	1	the	the	DET
ejpam-6693	142	2	runge	runge	NOUN
ejpam-6693	142	3	-	-	PUNCT
ejpam-6693	142	4	kutta	kutta	PROPN
ejpam-6693	142	5	felhberg	felhberg	PROPN
ejpam-6693	142	6	algorithm	algorithm	PROPN
ejpam-6693	142	7	(	(	PUNCT
ejpam-6693	142	8	rkfa	rkfa	PROPN
ejpam-6693	142	9	)	)	PUNCT
ejpam-6693	142	10	is	be	AUX
ejpam-6693	142	11	also	also	ADV
ejpam-6693	142	12	used	use	VERB
ejpam-6693	142	13	to	to	PART
ejpam-6693	142	14	solve	solve	VERB
ejpam-6693	142	15	the	the	DET
ejpam-6693	142	16	non	non	ADJ
ejpam-6693	142	17	-	-	ADJ
ejpam-6693	142	18	linear	linear	ADJ
ejpam-6693	142	19	fractional	fractional	ADJ
ejpam-6693	142	20	order	order	NOUN
ejpam-6693	142	21	system	system	NOUN
ejpam-6693	142	22	of	of	ADP
ejpam-6693	142	23	the	the	DET
ejpam-6693	142	24	susceptible	susceptible	ADJ
ejpam-6693	142	25	-	-	PUNCT
ejpam-6693	142	26	infected	infect	VERB
ejpam-6693	142	27	-	-	PUNCT
ejpam-6693	142	28	recovered	recover	VERB
ejpam-6693	142	29	mathematical	mathematical	ADJ
ejpam-6693	142	30	model	model	NOUN
ejpam-6693	142	31	of	of	ADP
ejpam-6693	142	32	computer	computer	NOUN
ejpam-6693	142	33	viruses	virus	NOUN
ejpam-6693	142	34	for	for	ADP
ejpam-6693	142	35	fractional	fractional	ADJ
ejpam-6693	142	36	order	order	NOUN
ejpam-6693	142	37	derivative	derivative	ADJ
ejpam-6693	142	38	γ	γ	X
ejpam-6693	142	39	=	=	SYM
ejpam-6693	142	40	1	1	NUM
ejpam-6693	142	41	.	.	PUNCT
ejpam-6693	143	1	the	the	DET
ejpam-6693	143	2	results	result	NOUN
ejpam-6693	143	3	are	be	AUX
ejpam-6693	143	4	visually	visually	ADV
ejpam-6693	143	5	presented	present	VERB
ejpam-6693	143	6	through	through	ADP
ejpam-6693	143	7	graphs	graph	NOUN
ejpam-6693	143	8	that	that	PRON
ejpam-6693	143	9	illustrate	illustrate	VERB
ejpam-6693	143	10	the	the	DET
ejpam-6693	143	11	evolution	evolution	NOUN
ejpam-6693	143	12	of	of	ADP
ejpam-6693	143	13	the	the	DET
ejpam-6693	143	14	susceptible	susceptible	ADJ
ejpam-6693	143	15	,	,	PUNCT
ejpam-6693	143	16	infected	infected	ADJ
ejpam-6693	143	17	,	,	PUNCT
ejpam-6693	143	18	and	and	CCONJ
ejpam-6693	143	19	recovered	recover	VERB
ejpam-6693	143	20	populations	population	NOUN
ejpam-6693	143	21	over	over	ADP
ejpam-6693	143	22	time	time	NOUN
ejpam-6693	143	23	for	for	ADP
ejpam-6693	143	24	both	both	DET
ejpam-6693	143	25	methods	method	NOUN
ejpam-6693	143	26	.	.	PUNCT
ejpam-6693	144	1	a	a	DET
ejpam-6693	144	2	comparison	comparison	NOUN
ejpam-6693	144	3	of	of	ADP
ejpam-6693	144	4	results	result	NOUN
ejpam-6693	144	5	obtained	obtain	VERB
ejpam-6693	144	6	from	from	ADP
ejpam-6693	144	7	fdtm	fdtm	NOUN
ejpam-6693	144	8	and	and	CCONJ
ejpam-6693	144	9	ladm	ladm	NOUN
ejpam-6693	144	10	is	be	AUX
ejpam-6693	144	11	performed	perform	VERB
ejpam-6693	144	12	to	to	PART
ejpam-6693	144	13	analyze	analyze	VERB
ejpam-6693	144	14	differences	difference	NOUN
ejpam-6693	144	15	and	and	CCONJ
ejpam-6693	144	16	evaluate	evaluate	VERB
ejpam-6693	144	17	the	the	DET
ejpam-6693	144	18	effectiveness	effectiveness	NOUN
ejpam-6693	144	19	of	of	ADP
ejpam-6693	144	20	the	the	DET
ejpam-6693	144	21	fractional	fractional	ADJ
ejpam-6693	144	22	order	order	NOUN
ejpam-6693	144	23	model	model	NOUN
ejpam-6693	144	24	in	in	ADP
ejpam-6693	144	25	capturing	capture	VERB
ejpam-6693	144	26	the	the	DET
ejpam-6693	144	27	dynamics	dynamic	NOUN
ejpam-6693	144	28	of	of	ADP
ejpam-6693	144	29	computer	computer	NOUN
ejpam-6693	144	30	virus	virus	NOUN
ejpam-6693	144	31	propagation	propagation	NOUN
ejpam-6693	144	32	.	.	PUNCT
ejpam-6693	145	1	future	future	ADJ
ejpam-6693	145	2	work	work	NOUN
ejpam-6693	145	3	could	could	AUX
ejpam-6693	145	4	explore	explore	VERB
ejpam-6693	145	5	higher	high	ADJ
ejpam-6693	145	6	-	-	PUNCT
ejpam-6693	145	7	order	order	NOUN
ejpam-6693	145	8	fractional	fractional	ADJ
ejpam-6693	145	9	derivatives	derivative	NOUN
ejpam-6693	145	10	,	,	PUNCT
ejpam-6693	145	11	incorporate	incorporate	VERB
ejpam-6693	145	12	more	more	ADV
ejpam-6693	145	13	complex	complex	ADJ
ejpam-6693	145	14	virus	virus	NOUN
ejpam-6693	145	15	spread	spread	VERB
ejpam-6693	145	16	scenarios	scenario	NOUN
ejpam-6693	145	17	,	,	PUNCT
ejpam-6693	145	18	or	or	CCONJ
ejpam-6693	145	19	apply	apply	VERB
ejpam-6693	145	20	the	the	DET
ejpam-6693	145	21	model	model	NOUN
ejpam-6693	145	22	to	to	ADP
ejpam-6693	145	23	different	different	ADJ
ejpam-6693	145	24	types	type	NOUN
ejpam-6693	145	25	of	of	ADP
ejpam-6693	145	26	computer	computer	NOUN
ejpam-6693	145	27	security	security	NOUN
ejpam-6693	145	28	threats	threat	NOUN
ejpam-6693	145	29	.	.	PUNCT
ejpam-6693	146	1	5	5	X
ejpam-6693	146	2	.	.	X
ejpam-6693	146	3	fractional	fractional	ADJ
ejpam-6693	146	4	differential	differential	NOUN
ejpam-6693	146	5	transform	transform	NOUN
ejpam-6693	146	6	method	method	NOUN
ejpam-6693	146	7	the	the	DET
ejpam-6693	146	8	steps	step	NOUN
ejpam-6693	146	9	in	in	ADP
ejpam-6693	146	10	the	the	DET
ejpam-6693	146	11	fractional	fractional	ADJ
ejpam-6693	146	12	differential	differential	NOUN
ejpam-6693	146	13	transform	transform	NOUN
ejpam-6693	146	14	method	method	NOUN
ejpam-6693	146	15	are	be	AUX
ejpam-6693	146	16	given	give	VERB
ejpam-6693	146	17	in	in	ADP
ejpam-6693	146	18	[	[	NOUN
ejpam-6693	146	19	56	56	NUM
ejpam-6693	146	20	]	]	PUNCT
ejpam-6693	146	21	.	.	PUNCT
ejpam-6693	147	1	the	the	DET
ejpam-6693	147	2	fractional	fractional	ADJ
ejpam-6693	147	3	differentiation	differentiation	NOUN
ejpam-6693	147	4	in	in	ADP
ejpam-6693	147	5	the	the	DET
ejpam-6693	147	6	riemann	riemann	PROPN
ejpam-6693	147	7	-	-	PUNCT
ejpam-6693	147	8	liouville	liouville	VERB
ejpam-6693	147	9	sense	sense	NOUN
ejpam-6693	147	10	is	be	AUX
ejpam-6693	147	11	defined	define	VERB
ejpam-6693	147	12	as	as	ADP
ejpam-6693	147	13	:	:	PUNCT
ejpam-6693	147	14	dγ	dγ	ADP
ejpam-6693	147	15	t0	t0	PROPN
ejpam-6693	147	16	u(t	u(t	PROPN
ejpam-6693	147	17	)	)	PUNCT
ejpam-6693	147	18	=	=	SYM
ejpam-6693	148	1	1	1	NUM
ejpam-6693	148	2	(	(	PUNCT
ejpam-6693	148	3	n−	n−	NOUN
ejpam-6693	148	4	γ	γ	X
ejpam-6693	148	5	)	)	PUNCT
ejpam-6693	148	6	∫	∫	PROPN
ejpam-6693	148	7	t	t	PROPN
ejpam-6693	148	8	t0	t0	PROPN
ejpam-6693	149	1	dm	dm	PROPN
ejpam-6693	149	2	dxm	dxm	PROPN
ejpam-6693	149	3	(	(	PUNCT
ejpam-6693	149	4	t−	t−	DET
ejpam-6693	149	5	s)n−γ−1u(s)ds	s)n−γ−1u(s)ds	NOUN
ejpam-6693	149	6	,	,	PUNCT
ejpam-6693	149	7	(	(	PUNCT
ejpam-6693	149	8	6	6	X
ejpam-6693	149	9	)	)	PUNCT
ejpam-6693	149	10	r.	r.	PROPN
ejpam-6693	149	11	m.	m.	PROPN
ejpam-6693	149	12	kamble	kamble	PROPN
ejpam-6693	149	13	,	,	PUNCT
ejpam-6693	149	14	p.	p.	PROPN
ejpam-6693	149	15	r.	r.	PROPN
ejpam-6693	149	16	kulkarni	kulkarni	PROPN
ejpam-6693	149	17	/	/	SYM
ejpam-6693	149	18	eur	eur	PROPN
ejpam-6693	149	19	.	.	PUNCT
ejpam-6693	150	1	j.	j.	PROPN
ejpam-6693	150	2	pure	pure	PROPN
ejpam-6693	150	3	appl	appl	PROPN
ejpam-6693	150	4	.	.	PROPN
ejpam-6693	150	5	math	math	PROPN
ejpam-6693	150	6	,	,	PUNCT
ejpam-6693	150	7	18	18	NUM
ejpam-6693	150	8	(	(	PUNCT
ejpam-6693	150	9	4	4	NUM
ejpam-6693	150	10	)	)	PUNCT
ejpam-6693	150	11	(	(	PUNCT
ejpam-6693	150	12	2025	2025	NUM
ejpam-6693	150	13	)	)	PUNCT
ejpam-6693	150	14	,	,	PUNCT
ejpam-6693	150	15	6693	6693	NUM
ejpam-6693	150	16	7	7	NUM
ejpam-6693	150	17	of	of	ADP
ejpam-6693	150	18	40	40	NUM
ejpam-6693	150	19	where	where	SCONJ
ejpam-6693	150	20	n	n	X
ejpam-6693	150	21	−	−	PROPN
ejpam-6693	150	22	1	1	NUM
ejpam-6693	150	23	≤	≤	NUM
ejpam-6693	150	24	γ	γ	X
ejpam-6693	150	25	<	<	X
ejpam-6693	150	26	m	m	PROPN
ejpam-6693	150	27	,	,	PUNCT
ejpam-6693	150	28	n	n	PRON
ejpam-6693	150	29	is	be	AUX
ejpam-6693	150	30	a	a	DET
ejpam-6693	150	31	positive	positive	ADJ
ejpam-6693	150	32	integer	integer	NOUN
ejpam-6693	150	33	,	,	PUNCT
ejpam-6693	150	34	and	and	CCONJ
ejpam-6693	150	35	t	t	PROPN
ejpam-6693	150	36	>	>	X
ejpam-6693	150	37	t0	t0	PROPN
ejpam-6693	150	38	.	.	PUNCT
ejpam-6693	151	1	the	the	DET
ejpam-6693	151	2	expansion	expansion	NOUN
ejpam-6693	151	3	of	of	ADP
ejpam-6693	151	4	an	an	DET
ejpam-6693	151	5	analytic	analytic	ADJ
ejpam-6693	151	6	and	and	CCONJ
ejpam-6693	151	7	continuous	continuous	ADJ
ejpam-6693	151	8	function	function	NOUN
ejpam-6693	151	9	f(t	f(t	NOUN
ejpam-6693	151	10	)	)	PUNCT
ejpam-6693	151	11	in	in	ADP
ejpam-6693	151	12	terms	term	NOUN
ejpam-6693	151	13	of	of	ADP
ejpam-6693	151	14	a	a	DET
ejpam-6693	151	15	fractional	fractional	ADJ
ejpam-6693	151	16	power	power	NOUN
ejpam-6693	151	17	series	series	NOUN
ejpam-6693	151	18	is	be	AUX
ejpam-6693	151	19	given	give	VERB
ejpam-6693	151	20	as	as	ADP
ejpam-6693	151	21	:	:	PUNCT
ejpam-6693	151	22	u(t	u(t	NOUN
ejpam-6693	151	23	)	)	PUNCT
ejpam-6693	151	24	=	=	PUNCT
ejpam-6693	152	1	∞∑	∞∑	NUM
ejpam-6693	152	2	k=0	k=0	PROPN
ejpam-6693	152	3	u(k)(t−	u(k)(t−	PROPN
ejpam-6693	152	4	t0	t0	PROPN
ejpam-6693	152	5	)	)	PUNCT
ejpam-6693	152	6	k/µ	k/µ	NOUN
ejpam-6693	152	7	,	,	PUNCT
ejpam-6693	152	8	(	(	PUNCT
ejpam-6693	152	9	7	7	X
ejpam-6693	152	10	)	)	PUNCT
ejpam-6693	152	11	where	where	SCONJ
ejpam-6693	152	12	µ	µ	NOUN
ejpam-6693	152	13	is	be	AUX
ejpam-6693	152	14	the	the	DET
ejpam-6693	152	15	order	order	NOUN
ejpam-6693	152	16	of	of	ADP
ejpam-6693	152	17	the	the	DET
ejpam-6693	152	18	fraction	fraction	NOUN
ejpam-6693	152	19	,	,	PUNCT
ejpam-6693	152	20	and	and	CCONJ
ejpam-6693	152	21	u(k	u(k	PROPN
ejpam-6693	152	22	)	)	PUNCT
ejpam-6693	152	23	is	be	AUX
ejpam-6693	152	24	the	the	DET
ejpam-6693	152	25	fractional	fractional	ADJ
ejpam-6693	152	26	differential	differential	ADJ
ejpam-6693	152	27	transform	transform	NOUN
ejpam-6693	152	28	of	of	ADP
ejpam-6693	152	29	u(t	u(t	NOUN
ejpam-6693	152	30	)	)	PUNCT
ejpam-6693	152	31	.	.	PUNCT
ejpam-6693	153	1	the	the	DET
ejpam-6693	153	2	relation	relation	NOUN
ejpam-6693	153	3	between	between	ADP
ejpam-6693	153	4	the	the	DET
ejpam-6693	153	5	riemann	riemann	PROPN
ejpam-6693	153	6	-	-	PUNCT
ejpam-6693	153	7	liouville	liouville	NOUN
ejpam-6693	153	8	operator	operator	NOUN
ejpam-6693	153	9	and	and	CCONJ
ejpam-6693	153	10	the	the	DET
ejpam-6693	153	11	caputo	caputo	PROPN
ejpam-6693	153	12	operator	operator	NOUN
ejpam-6693	153	13	is	be	AUX
ejpam-6693	153	14	given	give	VERB
ejpam-6693	153	15	as	as	SCONJ
ejpam-6693	153	16	follows	follow	VERB
ejpam-6693	153	17	:	:	PUNCT
ejpam-6693	153	18	cdγ	cdγ	X
ejpam-6693	153	19	x0	x0	PROPN
ejpam-6693	153	20	u(t	u(t	PROPN
ejpam-6693	153	21	)	)	PUNCT
ejpam-6693	154	1	=	=	PUNCT
ejpam-6693	154	2	dγ	dγ	ADP
ejpam-6693	154	3	x0	x0	PROPN
ejpam-6693	154	4	[	[	PUNCT
ejpam-6693	154	5	u(t)−	u(t)−	PROPN
ejpam-6693	154	6	n−1∑	n−1∑	PROPN
ejpam-6693	154	7	k=0	k=0	PROPN
ejpam-6693	154	8	uk(t0	uk(t0	NUM
ejpam-6693	154	9	)	)	PUNCT
ejpam-6693	154	10	k	k	NOUN
ejpam-6693	154	11	!	!	PUNCT
ejpam-6693	155	1	(	(	PUNCT
ejpam-6693	155	2	t−	t−	PROPN
ejpam-6693	155	3	t0	t0	PROPN
ejpam-6693	155	4	)	)	PUNCT
ejpam-6693	156	1	k	k	X
ejpam-6693	156	2	]	]	PUNCT
ejpam-6693	156	3	.	.	PUNCT
ejpam-6693	157	1	(	(	PUNCT
ejpam-6693	157	2	8)	8)	NUM
ejpam-6693	157	3	here	here	ADV
ejpam-6693	157	4	,	,	PUNCT
ejpam-6693	157	5	the	the	DET
ejpam-6693	157	6	notation	notation	NOUN
ejpam-6693	157	7	c	c	NOUN
ejpam-6693	157	8	is	be	AUX
ejpam-6693	157	9	used	use	VERB
ejpam-6693	157	10	for	for	ADP
ejpam-6693	157	11	the	the	DET
ejpam-6693	157	12	caputo	caputo	PROPN
ejpam-6693	157	13	operator	operator	NOUN
ejpam-6693	157	14	to	to	PART
ejpam-6693	157	15	distinguish	distinguish	VERB
ejpam-6693	157	16	it	it	PRON
ejpam-6693	157	17	from	from	ADP
ejpam-6693	157	18	the	the	DET
ejpam-6693	157	19	riemannliouville	riemannliouville	NOUN
ejpam-6693	157	20	operator	operator	NOUN
ejpam-6693	157	21	.	.	PUNCT
ejpam-6693	158	1	since	since	SCONJ
ejpam-6693	158	2	the	the	DET
ejpam-6693	158	3	initial	initial	ADJ
ejpam-6693	158	4	conditions	condition	NOUN
ejpam-6693	158	5	are	be	AUX
ejpam-6693	158	6	implemented	implement	VERB
ejpam-6693	158	7	to	to	ADP
ejpam-6693	158	8	the	the	DET
ejpam-6693	158	9	integer	integer	NOUN
ejpam-6693	158	10	order	order	NOUN
ejpam-6693	158	11	differential	differential	NOUN
ejpam-6693	158	12	equation	equation	NOUN
ejpam-6693	158	13	,	,	PUNCT
ejpam-6693	158	14	the	the	DET
ejpam-6693	158	15	transformed	transform	VERB
ejpam-6693	158	16	initial	initial	ADJ
ejpam-6693	158	17	conditions	condition	NOUN
ejpam-6693	158	18	can	can	AUX
ejpam-6693	158	19	be	be	AUX
ejpam-6693	158	20	obtained	obtain	VERB
ejpam-6693	158	21	using	use	VERB
ejpam-6693	158	22	the	the	DET
ejpam-6693	158	23	following	follow	VERB
ejpam-6693	158	24	relation	relation	NOUN
ejpam-6693	158	25	:	:	PUNCT
ejpam-6693	158	26	u(k	u(k	PROPN
ejpam-6693	158	27	)	)	PUNCT
ejpam-6693	158	28	=	=	PUNCT
ejpam-6693	159	1			PUNCT
ejpam-6693	159	2	1	1	NUM
ejpam-6693	159	3	(	(	PUNCT
ejpam-6693	159	4	k/µ	k/µ	NOUN
ejpam-6693	159	5	)	)	PUNCT
ejpam-6693	159	6	!	!	PUNCT
ejpam-6693	160	1	[	[	PUNCT
ejpam-6693	160	2	d(k/µ)u(t	d(k/µ)u(t	PROPN
ejpam-6693	160	3	)	)	PUNCT
ejpam-6693	160	4	dt(k/µ	dt(k/µ	NOUN
ejpam-6693	160	5	)	)	PUNCT
ejpam-6693	160	6	]	]	PUNCT
ejpam-6693	161	1	x	x	PUNCT
ejpam-6693	161	2	=	=	NOUN
ejpam-6693	161	3	x0	x0	PROPN
ejpam-6693	161	4	,	,	PUNCT
ejpam-6693	161	5	if	if	SCONJ
ejpam-6693	161	6	k/µ	k/µ	PROPN
ejpam-6693	161	7	∈	∈	PROPN
ejpam-6693	161	8	z+	z+	X
ejpam-6693	161	9	,	,	PUNCT
ejpam-6693	161	10	0	0	NUM
ejpam-6693	161	11	,	,	PUNCT
ejpam-6693	161	12	if	if	SCONJ
ejpam-6693	161	13	k/µ	k/µ	PROPN
ejpam-6693	161	14	/∈	/∈	PUNCT
ejpam-6693	161	15	z+	z+	X
ejpam-6693	161	16	.	.	PUNCT
ejpam-6693	162	1	(	(	PUNCT
ejpam-6693	162	2	9	9	NUM
ejpam-6693	162	3	)	)	PUNCT
ejpam-6693	162	4	where	where	SCONJ
ejpam-6693	162	5	k	k	NOUN
ejpam-6693	162	6	=	=	SYM
ejpam-6693	162	7	0	0	NUM
ejpam-6693	162	8	,	,	PUNCT
ejpam-6693	162	9	1	1	NUM
ejpam-6693	162	10	,	,	PUNCT
ejpam-6693	162	11	2	2	NUM
ejpam-6693	162	12	,	,	PUNCT
ejpam-6693	162	13	.	.	PUNCT
ejpam-6693	162	14	.	.	PUNCT
ejpam-6693	162	15	.	.	PUNCT
ejpam-6693	163	1	,	,	PUNCT
ejpam-6693	164	1	γµ−1	γµ−1	ADV
ejpam-6693	164	2	,	,	PUNCT
ejpam-6693	164	3	and	and	CCONJ
ejpam-6693	164	4	γ	γ	X
ejpam-6693	164	5	is	be	AUX
ejpam-6693	164	6	the	the	DET
ejpam-6693	164	7	order	order	NOUN
ejpam-6693	164	8	of	of	ADP
ejpam-6693	164	9	the	the	DET
ejpam-6693	164	10	fractional	fractional	ADJ
ejpam-6693	164	11	differential	differential	ADJ
ejpam-6693	164	12	equation	equation	NOUN
ejpam-6693	164	13	.	.	PUNCT
ejpam-6693	165	1	the	the	DET
ejpam-6693	165	2	parameter	parameter	NOUN
ejpam-6693	165	3	µ	µ	PROPN
ejpam-6693	165	4	is	be	AUX
ejpam-6693	165	5	chosen	choose	VERB
ejpam-6693	165	6	such	such	ADJ
ejpam-6693	165	7	that	that	SCONJ
ejpam-6693	165	8	γµ	γµ	PROPN
ejpam-6693	165	9	is	be	AUX
ejpam-6693	165	10	a	a	DET
ejpam-6693	165	11	positive	positive	ADJ
ejpam-6693	165	12	integer	integer	NOUN
ejpam-6693	165	13	.	.	PUNCT
ejpam-6693	166	1	the	the	DET
ejpam-6693	166	2	following	follow	VERB
ejpam-6693	166	3	results[56	results[56	PROPN
ejpam-6693	166	4	]	]	PUNCT
ejpam-6693	166	5	are	be	AUX
ejpam-6693	166	6	applied	apply	VERB
ejpam-6693	166	7	in	in	ADP
ejpam-6693	166	8	the	the	DET
ejpam-6693	166	9	proofs	proof	NOUN
ejpam-6693	166	10	of	of	ADP
ejpam-6693	166	11	the	the	DET
ejpam-6693	166	12	results	result	NOUN
ejpam-6693	166	13	in	in	ADP
ejpam-6693	166	14	the	the	DET
ejpam-6693	166	15	next	next	ADJ
ejpam-6693	166	16	section	section	NOUN
ejpam-6693	166	17	.	.	PUNCT
ejpam-6693	167	1	theorem	theorem	VERB
ejpam-6693	167	2	4	4	NUM
ejpam-6693	167	3	.	.	PUNCT
ejpam-6693	168	1	[	[	X
ejpam-6693	168	2	56	56	NUM
ejpam-6693	168	3	]	]	X
ejpam-6693	168	4	if	if	SCONJ
ejpam-6693	168	5	w(t	w(t	PROPN
ejpam-6693	168	6	)	)	PUNCT
ejpam-6693	169	1	=	=	SYM
ejpam-6693	169	2	u(t)±v(t	u(t)±v(t	NOUN
ejpam-6693	169	3	)	)	PUNCT
ejpam-6693	169	4	,	,	PUNCT
ejpam-6693	169	5	then	then	ADV
ejpam-6693	169	6	its	its	PRON
ejpam-6693	169	7	transformed	transform	VERB
ejpam-6693	169	8	form	form	NOUN
ejpam-6693	169	9	is	be	AUX
ejpam-6693	169	10	w	w	NOUN
ejpam-6693	169	11	(	(	PUNCT
ejpam-6693	169	12	k	k	NOUN
ejpam-6693	169	13	)	)	PUNCT
ejpam-6693	169	14	=	=	SYM
ejpam-6693	170	1	u(k)±v	u(k)±v	PROPN
ejpam-6693	170	2	(	(	PUNCT
ejpam-6693	170	3	k	k	NOUN
ejpam-6693	170	4	)	)	PUNCT
ejpam-6693	170	5	.	.	PUNCT
ejpam-6693	171	1	theorem	theorem	ADJ
ejpam-6693	171	2	5	5	NUM
ejpam-6693	171	3	.	.	PUNCT
ejpam-6693	172	1	[	[	X
ejpam-6693	172	2	56	56	NUM
ejpam-6693	172	3	]	]	X
ejpam-6693	172	4	if	if	SCONJ
ejpam-6693	172	5	w(t	w(t	PROPN
ejpam-6693	172	6	)	)	PUNCT
ejpam-6693	172	7	=	=	SYM
ejpam-6693	172	8	u(t)v(t	u(t)v(t	NOUN
ejpam-6693	172	9	)	)	PUNCT
ejpam-6693	172	10	,	,	PUNCT
ejpam-6693	172	11	then	then	ADV
ejpam-6693	172	12	w	w	PROPN
ejpam-6693	172	13	(	(	PUNCT
ejpam-6693	172	14	k	k	NOUN
ejpam-6693	172	15	)	)	PUNCT
ejpam-6693	172	16	=	=	SYM
ejpam-6693	173	1	∑k	∑k	PROPN
ejpam-6693	173	2	l=0	l=0	PROPN
ejpam-6693	173	3	u(l)v	u(l)v	PROPN
ejpam-6693	173	4	(	(	PUNCT
ejpam-6693	173	5	k	k	PROPN
ejpam-6693	173	6	−	−	PROPN
ejpam-6693	173	7	l	l	NOUN
ejpam-6693	173	8	)	)	PUNCT
ejpam-6693	173	9	.	.	PUNCT
ejpam-6693	174	1	theorem	theorem	VERB
ejpam-6693	174	2	6	6	NUM
ejpam-6693	174	3	.	.	PUNCT
ejpam-6693	175	1	[	[	X
ejpam-6693	175	2	56	56	NUM
ejpam-6693	175	3	]	]	X
ejpam-6693	175	4	if	if	SCONJ
ejpam-6693	175	5	w(t	w(t	PROPN
ejpam-6693	175	6	)	)	PUNCT
ejpam-6693	175	7	=	=	SYM
ejpam-6693	175	8	(	(	PUNCT
ejpam-6693	175	9	t−	t−	PROPN
ejpam-6693	175	10	t0	t0	PROPN
ejpam-6693	175	11	)	)	PUNCT
ejpam-6693	176	1	p	p	X
ejpam-6693	176	2	,	,	PUNCT
ejpam-6693	176	3	then	then	ADV
ejpam-6693	176	4	w	w	PROPN
ejpam-6693	176	5	(	(	PUNCT
ejpam-6693	176	6	k	k	NOUN
ejpam-6693	176	7	)	)	PUNCT
ejpam-6693	176	8	=	=	NOUN
ejpam-6693	176	9	δ(k	δ(k	VERB
ejpam-6693	176	10	−	−	PROPN
ejpam-6693	176	11	λp	λp	PROPN
ejpam-6693	176	12	)	)	PUNCT
ejpam-6693	176	13	,	,	PUNCT
ejpam-6693	176	14	where	where	SCONJ
ejpam-6693	176	15	:	:	PUNCT
ejpam-6693	176	16	δ(k	δ(k	NOUN
ejpam-6693	176	17	)	)	PUNCT
ejpam-6693	176	18	=	=	PRON
ejpam-6693	176	19	{	{	PUNCT
ejpam-6693	176	20	1	1	NUM
ejpam-6693	176	21	,	,	PUNCT
ejpam-6693	176	22	k	k	NOUN
ejpam-6693	176	23	=	=	SYM
ejpam-6693	176	24	0	0	NUM
ejpam-6693	176	25	,	,	PUNCT
ejpam-6693	176	26	0	0	NUM
ejpam-6693	176	27	,	,	PUNCT
ejpam-6693	176	28	k	k	PROPN
ejpam-6693	176	29	̸=	̸=	PROPN
ejpam-6693	176	30	0	0	NUM
ejpam-6693	176	31	.	.	PUNCT
ejpam-6693	177	1	(	(	PUNCT
ejpam-6693	177	2	10	10	NUM
ejpam-6693	177	3	)	)	PUNCT
ejpam-6693	177	4	theorem	theorem	NOUN
ejpam-6693	177	5	7	7	NUM
ejpam-6693	177	6	.	.	PUNCT
ejpam-6693	178	1	[	[	X
ejpam-6693	178	2	56	56	NUM
ejpam-6693	178	3	]	]	X
ejpam-6693	178	4	if	if	SCONJ
ejpam-6693	178	5	w(t	w(t	PROPN
ejpam-6693	178	6	)	)	PUNCT
ejpam-6693	179	1	=	=	PUNCT
ejpam-6693	179	2	dγ	dγ	ADP
ejpam-6693	179	3	t0	t0	PROPN
ejpam-6693	179	4	u(t	u(t	PROPN
ejpam-6693	179	5	)	)	PUNCT
ejpam-6693	179	6	,	,	PUNCT
ejpam-6693	179	7	then	then	ADV
ejpam-6693	179	8	:	:	PUNCT
ejpam-6693	179	9	w	w	X
ejpam-6693	179	10	(	(	PUNCT
ejpam-6693	179	11	k	k	NOUN
ejpam-6693	179	12	)	)	PUNCT
ejpam-6693	179	13	=	=	SYM
ejpam-6693	180	1	γ(γ	γ(γ	PROPN
ejpam-6693	180	2	+	+	CCONJ
ejpam-6693	180	3	1	1	NUM
ejpam-6693	180	4	+	+	CCONJ
ejpam-6693	180	5	k/µ	k/µ	NOUN
ejpam-6693	180	6	)	)	PUNCT
ejpam-6693	181	1	γ(1	γ(1	PROPN
ejpam-6693	181	2	+	+	CCONJ
ejpam-6693	181	3	k/µ	k/µ	PROPN
ejpam-6693	181	4	)	)	PUNCT
ejpam-6693	182	1	u(k	u(k	PROPN
ejpam-6693	183	1	+	+	CCONJ
ejpam-6693	183	2	γµ	γµ	ADJ
ejpam-6693	183	3	)	)	PUNCT
ejpam-6693	183	4	.	.	PUNCT
ejpam-6693	184	1	(	(	PUNCT
ejpam-6693	184	2	11	11	NUM
ejpam-6693	184	3	)	)	PUNCT
ejpam-6693	184	4	r.	r.	PROPN
ejpam-6693	184	5	m.	m.	PROPN
ejpam-6693	184	6	kamble	kamble	PROPN
ejpam-6693	184	7	,	,	PUNCT
ejpam-6693	184	8	p.	p.	PROPN
ejpam-6693	184	9	r.	r.	PROPN
ejpam-6693	184	10	kulkarni	kulkarni	PROPN
ejpam-6693	184	11	/	/	SYM
ejpam-6693	184	12	eur	eur	PROPN
ejpam-6693	184	13	.	.	PUNCT
ejpam-6693	185	1	j.	j.	PROPN
ejpam-6693	185	2	pure	pure	PROPN
ejpam-6693	185	3	appl	appl	PROPN
ejpam-6693	185	4	.	.	PROPN
ejpam-6693	185	5	math	math	PROPN
ejpam-6693	185	6	,	,	PUNCT
ejpam-6693	185	7	18	18	NUM
ejpam-6693	185	8	(	(	PUNCT
ejpam-6693	185	9	4	4	NUM
ejpam-6693	185	10	)	)	PUNCT
ejpam-6693	185	11	(	(	PUNCT
ejpam-6693	185	12	2025	2025	NUM
ejpam-6693	185	13	)	)	PUNCT
ejpam-6693	185	14	,	,	PUNCT
ejpam-6693	185	15	6693	6693	NUM
ejpam-6693	185	16	8	8	NUM
ejpam-6693	185	17	of	of	ADP
ejpam-6693	185	18	40	40	NUM
ejpam-6693	185	19	6	6	NUM
ejpam-6693	185	20	.	.	PUNCT
ejpam-6693	185	21	methodology	methodology	NOUN
ejpam-6693	185	22	of	of	ADP
ejpam-6693	185	23	the	the	DET
ejpam-6693	185	24	proposed	propose	VERB
ejpam-6693	185	25	non	non	ADJ
ejpam-6693	185	26	-	-	ADJ
ejpam-6693	185	27	linear	linear	ADJ
ejpam-6693	185	28	fractional	fractional	ADJ
ejpam-6693	185	29	mathematical	mathematical	ADJ
ejpam-6693	185	30	model	model	NOUN
ejpam-6693	185	31	using	use	VERB
ejpam-6693	185	32	the	the	DET
ejpam-6693	185	33	transformation	transformation	NOUN
ejpam-6693	185	34	rules	rule	NOUN
ejpam-6693	185	35	from	from	ADP
ejpam-6693	185	36	equations	equation	NOUN
ejpam-6693	185	37	theorem4	theorem4	PROPN
ejpam-6693	185	38	–	–	PUNCT
ejpam-6693	185	39	theorem7	theorem7	PROPN
ejpam-6693	185	40	,	,	PUNCT
ejpam-6693	185	41	the	the	DET
ejpam-6693	185	42	transformed	transform	VERB
ejpam-6693	185	43	equations	equation	NOUN
ejpam-6693	185	44	are	be	AUX
ejpam-6693	185	45	s(k	s(k	PRON
ejpam-6693	185	46	+	+	CCONJ
ejpam-6693	185	47	γµ	γµ	ADJ
ejpam-6693	185	48	)	)	PUNCT
ejpam-6693	185	49	=	=	SYM
ejpam-6693	186	1	γ(1	γ(1	PROPN
ejpam-6693	186	2	+	+	NUM
ejpam-6693	186	3	k/µ	k/µ	NOUN
ejpam-6693	186	4	)	)	PUNCT
ejpam-6693	187	1	γ(1	γ(1	PROPN
ejpam-6693	188	1	+	+	CCONJ
ejpam-6693	188	2	γ	γ	PROPN
ejpam-6693	188	3	+	+	CCONJ
ejpam-6693	188	4	k/µ	k/µ	NOUN
ejpam-6693	188	5	)	)	PUNCT
ejpam-6693	188	6	[	[	PUNCT
ejpam-6693	188	7	f1δ(k)−	f1δ(k)−	NOUN
ejpam-6693	188	8	λ	λ	X
ejpam-6693	188	9	k∑	k∑	VERB
ejpam-6693	189	1	l=0	l=0	PROPN
ejpam-6693	189	2	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	189	3	−	−	PROPN
ejpam-6693	189	4	l)−	l)−	PROPN
ejpam-6693	189	5	ds(k	ds(k	PUNCT
ejpam-6693	189	6	)	)	PUNCT
ejpam-6693	189	7	]	]	PUNCT
ejpam-6693	190	1	i(k	i(k	PROPN
ejpam-6693	190	2	+	+	NUM
ejpam-6693	190	3	γµ	γµ	ADJ
ejpam-6693	190	4	)	)	PUNCT
ejpam-6693	190	5	=	=	SYM
ejpam-6693	191	1	γ(1	γ(1	PROPN
ejpam-6693	191	2	+	+	NUM
ejpam-6693	191	3	k/µ	k/µ	NOUN
ejpam-6693	191	4	)	)	PUNCT
ejpam-6693	192	1	γ(1	γ(1	PROPN
ejpam-6693	193	1	+	+	CCONJ
ejpam-6693	193	2	γ	γ	PROPN
ejpam-6693	193	3	+	+	CCONJ
ejpam-6693	193	4	k/µ	k/µ	NOUN
ejpam-6693	193	5	)	)	PUNCT
ejpam-6693	193	6	[	[	PUNCT
ejpam-6693	193	7	f2δ(k	f2δ(k	PROPN
ejpam-6693	193	8	)	)	PUNCT
ejpam-6693	194	1	+	+	NUM
ejpam-6693	194	2	λ	λ	AUX
ejpam-6693	194	3	k∑	k∑	VERB
ejpam-6693	194	4	l=0	l=0	PROPN
ejpam-6693	194	5	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	194	6	−	−	PROPN
ejpam-6693	195	1	l)−	l)−	PROPN
ejpam-6693	195	2	εi(k)−	εi(k)−	PROPN
ejpam-6693	195	3	dr(k	dr(k	PUNCT
ejpam-6693	195	4	)	)	PUNCT
ejpam-6693	195	5	]	]	PUNCT
ejpam-6693	196	1	r(k	r(k	PROPN
ejpam-6693	196	2	+	+	CCONJ
ejpam-6693	196	3	γµ	γµ	ADJ
ejpam-6693	196	4	)	)	PUNCT
ejpam-6693	196	5	=	=	SYM
ejpam-6693	196	6	γ(1	γ(1	PROPN
ejpam-6693	196	7	+	+	NUM
ejpam-6693	196	8	k/µ	k/µ	NOUN
ejpam-6693	196	9	)	)	PUNCT
ejpam-6693	197	1	γ(1	γ(1	PROPN
ejpam-6693	198	1	+	+	CCONJ
ejpam-6693	198	2	γ	γ	PROPN
ejpam-6693	198	3	+	+	CCONJ
ejpam-6693	198	4	k/µ	k/µ	NOUN
ejpam-6693	198	5	)	)	PUNCT
ejpam-6693	199	1	[	[	X
ejpam-6693	199	2	f3δ(k	f3δ(k	PROPN
ejpam-6693	199	3	)	)	PUNCT
ejpam-6693	199	4	+	+	CCONJ
ejpam-6693	199	5	εi(k)−	εi(k)−	PROPN
ejpam-6693	199	6	dr(k	dr(k	PUNCT
ejpam-6693	199	7	)	)	PUNCT
ejpam-6693	199	8	]	]	PUNCT
ejpam-6693	199	9	(	(	PUNCT
ejpam-6693	199	10	12	12	NUM
ejpam-6693	199	11	)	)	PUNCT
ejpam-6693	199	12	the	the	DET
ejpam-6693	199	13	initial	initial	ADJ
ejpam-6693	199	14	conditions	condition	NOUN
ejpam-6693	199	15	transform	transform	VERB
ejpam-6693	199	16	into	into	ADP
ejpam-6693	199	17	:	:	PUNCT
ejpam-6693	199	18	s(k	s(k	NUM
ejpam-6693	199	19	)	)	PUNCT
ejpam-6693	199	20	=	=	SYM
ejpam-6693	200	1	0	0	NUM
ejpam-6693	200	2	,	,	PUNCT
ejpam-6693	200	3	k	k	NOUN
ejpam-6693	200	4	=	=	SYM
ejpam-6693	200	5	1	1	NUM
ejpam-6693	200	6	,	,	PUNCT
ejpam-6693	200	7	2	2	NUM
ejpam-6693	200	8	,	,	PUNCT
ejpam-6693	200	9	...	...	PUNCT
ejpam-6693	200	10	,	,	PUNCT
ejpam-6693	200	11	γµ−	γµ−	NUM
ejpam-6693	200	12	1	1	NUM
ejpam-6693	200	13	i(k	i(k	NOUN
ejpam-6693	200	14	)	)	PUNCT
ejpam-6693	200	15	=	=	SYM
ejpam-6693	200	16	0	0	NUM
ejpam-6693	200	17	,	,	PUNCT
ejpam-6693	200	18	k	k	NOUN
ejpam-6693	200	19	=	=	SYM
ejpam-6693	200	20	1	1	NUM
ejpam-6693	200	21	,	,	PUNCT
ejpam-6693	200	22	2	2	NUM
ejpam-6693	200	23	,	,	PUNCT
ejpam-6693	200	24	...	...	PUNCT
ejpam-6693	200	25	,	,	PUNCT
ejpam-6693	200	26	γµ−	γµ−	NUM
ejpam-6693	200	27	1	1	NUM
ejpam-6693	200	28	r(k	r(k	PROPN
ejpam-6693	200	29	)	)	PUNCT
ejpam-6693	200	30	=	=	SYM
ejpam-6693	200	31	0	0	NUM
ejpam-6693	200	32	,	,	PUNCT
ejpam-6693	200	33	k	k	NOUN
ejpam-6693	200	34	=	=	SYM
ejpam-6693	200	35	1	1	NUM
ejpam-6693	200	36	,	,	PUNCT
ejpam-6693	200	37	2	2	NUM
ejpam-6693	200	38	,	,	PUNCT
ejpam-6693	200	39	...	...	PUNCT
ejpam-6693	200	40	,	,	PUNCT
ejpam-6693	200	41	γµ−	γµ−	NUM
ejpam-6693	200	42	1	1	NUM
ejpam-6693	200	43	,	,	PUNCT
ejpam-6693	200	44	s(k	s(k	ADV
ejpam-6693	200	45	)	)	PUNCT
ejpam-6693	200	46	=	=	SYM
ejpam-6693	200	47	20	20	NUM
ejpam-6693	200	48	,	,	PUNCT
ejpam-6693	200	49	i(k	i(k	PROPN
ejpam-6693	200	50	)	)	PUNCT
ejpam-6693	200	51	=	=	SYM
ejpam-6693	200	52	15	15	NUM
ejpam-6693	200	53	,	,	PUNCT
ejpam-6693	200	54	r(k	r(k	PROPN
ejpam-6693	200	55	)	)	PUNCT
ejpam-6693	200	56	=	=	SYM
ejpam-6693	200	57	10	10	NUM
ejpam-6693	200	58	,	,	PUNCT
ejpam-6693	200	59	k	k	NOUN
ejpam-6693	200	60	=	=	PUNCT
ejpam-6693	200	61	0	0	PROPN
ejpam-6693	200	62	.	.	PUNCT
ejpam-6693	201	1	(	(	PUNCT
ejpam-6693	201	2	13	13	NUM
ejpam-6693	201	3	)	)	PUNCT
ejpam-6693	201	4	the	the	DET
ejpam-6693	201	5	approximate	approximate	ADJ
ejpam-6693	201	6	series	series	NOUN
ejpam-6693	201	7	solution	solution	NOUN
ejpam-6693	201	8	for	for	ADP
ejpam-6693	201	9	system	system	NOUN
ejpam-6693	201	10	1	1	NUM
ejpam-6693	201	11	is	be	AUX
ejpam-6693	201	12	:	:	PUNCT
ejpam-6693	201	13	s(t	s(t	NUM
ejpam-6693	201	14	)	)	PUNCT
ejpam-6693	202	1	=	=	SYM
ejpam-6693	202	2	n∑	n∑	X
ejpam-6693	202	3	j=0	j=0	PROPN
ejpam-6693	202	4	s(j)tj/µ	s(j)tj/µ	PROPN
ejpam-6693	202	5	,	,	PUNCT
ejpam-6693	202	6	i(t	i(t	PROPN
ejpam-6693	202	7	)	)	PUNCT
ejpam-6693	202	8	=	=	SYM
ejpam-6693	202	9	n∑	n∑	NOUN
ejpam-6693	202	10	j=0	j=0	PROPN
ejpam-6693	202	11	i(j)tj/µ	i(j)tj/µ	NOUN
ejpam-6693	202	12	,	,	PUNCT
ejpam-6693	202	13	r(t	r(t	NOUN
ejpam-6693	202	14	)	)	PUNCT
ejpam-6693	202	15	=	=	SYM
ejpam-6693	202	16	n∑	n∑	X
ejpam-6693	202	17	j=0	j=0	PROPN
ejpam-6693	202	18	r(j)tj/µ	r(j)tj/µ	X
ejpam-6693	202	19	(	(	PUNCT
ejpam-6693	202	20	14	14	NUM
ejpam-6693	202	21	)	)	PUNCT
ejpam-6693	202	22	case	case	NOUN
ejpam-6693	203	1	i	i	PRON
ejpam-6693	203	2	:	:	PUNCT
ejpam-6693	203	3	γ	γ	X
ejpam-6693	203	4	=	=	SYM
ejpam-6693	203	5	1/10	1/10	NUM
ejpam-6693	203	6	for	for	ADP
ejpam-6693	203	7	γ	γ	X
ejpam-6693	203	8	=	=	SYM
ejpam-6693	203	9	1/10	1/10	NUM
ejpam-6693	203	10	,	,	PUNCT
ejpam-6693	203	11	setting	set	VERB
ejpam-6693	203	12	µ	µ	NOUN
ejpam-6693	203	13	=	=	SYM
ejpam-6693	203	14	10	10	NUM
ejpam-6693	203	15	,	,	PUNCT
ejpam-6693	203	16	using	use	VERB
ejpam-6693	203	17	12	12	NUM
ejpam-6693	203	18	,	,	PUNCT
ejpam-6693	203	19	we	we	PRON
ejpam-6693	203	20	obtain	obtain	VERB
ejpam-6693	203	21	s(k	s(k	PRON
ejpam-6693	203	22	+	+	PUNCT
ejpam-6693	203	23	10γ	10γ	NOUN
ejpam-6693	203	24	)	)	PUNCT
ejpam-6693	203	25	=	=	PUNCT
ejpam-6693	204	1	γ(1	γ(1	PROPN
ejpam-6693	204	2	+	+	CCONJ
ejpam-6693	204	3	k/10	k/10	ADJ
ejpam-6693	204	4	)	)	PUNCT
ejpam-6693	205	1	γ(1	γ(1	NOUN
ejpam-6693	206	1	+	+	NUM
ejpam-6693	206	2	γ	γ	X
ejpam-6693	206	3	+	+	ADJ
ejpam-6693	206	4	k/10	k/10	ADJ
ejpam-6693	206	5	)	)	PUNCT
ejpam-6693	206	6	[	[	PUNCT
ejpam-6693	206	7	f1δ(k)−	f1δ(k)−	NOUN
ejpam-6693	206	8	λ	λ	X
ejpam-6693	206	9	k∑	k∑	VERB
ejpam-6693	207	1	l=0	l=0	PROPN
ejpam-6693	207	2	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	207	3	−	−	PROPN
ejpam-6693	207	4	l)−	l)−	PROPN
ejpam-6693	207	5	ds(k	ds(k	PUNCT
ejpam-6693	207	6	)	)	PUNCT
ejpam-6693	207	7	]	]	PUNCT
ejpam-6693	208	1	i(k	i(k	PROPN
ejpam-6693	208	2	+	+	NOUN
ejpam-6693	208	3	10γ	10γ	NUM
ejpam-6693	208	4	)	)	PUNCT
ejpam-6693	208	5	=	=	PUNCT
ejpam-6693	209	1	γ(1	γ(1	PROPN
ejpam-6693	209	2	+	+	CCONJ
ejpam-6693	209	3	k/10	k/10	ADJ
ejpam-6693	209	4	)	)	PUNCT
ejpam-6693	210	1	γ(1	γ(1	NOUN
ejpam-6693	211	1	+	+	NUM
ejpam-6693	211	2	γ	γ	X
ejpam-6693	211	3	+	+	ADJ
ejpam-6693	211	4	k/10	k/10	ADJ
ejpam-6693	211	5	)	)	PUNCT
ejpam-6693	211	6	[	[	PUNCT
ejpam-6693	211	7	f2δ(k	f2δ(k	PROPN
ejpam-6693	211	8	)	)	PUNCT
ejpam-6693	211	9	+	+	NUM
ejpam-6693	212	1	λ	λ	X
ejpam-6693	212	2	k∑	k∑	VERB
ejpam-6693	212	3	l=0	l=0	PROPN
ejpam-6693	212	4	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	212	5	−	−	PROPN
ejpam-6693	213	1	l)−	l)−	PROPN
ejpam-6693	213	2	εi(k)−	εi(k)−	PROPN
ejpam-6693	213	3	dr(k	dr(k	PUNCT
ejpam-6693	213	4	)	)	PUNCT
ejpam-6693	213	5	]	]	PUNCT
ejpam-6693	214	1	r(k	r(k	PROPN
ejpam-6693	214	2	+	+	PRON
ejpam-6693	214	3	10γ	10γ	NUM
ejpam-6693	214	4	)	)	PUNCT
ejpam-6693	214	5	=	=	PUNCT
ejpam-6693	214	6	γ(1	γ(1	PROPN
ejpam-6693	214	7	+	+	CCONJ
ejpam-6693	214	8	k/10	k/10	ADJ
ejpam-6693	214	9	)	)	PUNCT
ejpam-6693	215	1	γ(1	γ(1	NOUN
ejpam-6693	216	1	+	+	NUM
ejpam-6693	216	2	γ	γ	X
ejpam-6693	216	3	+	+	ADJ
ejpam-6693	216	4	k/10	k/10	ADJ
ejpam-6693	216	5	)	)	PUNCT
ejpam-6693	217	1	[	[	X
ejpam-6693	217	2	f3δ(k	f3δ(k	PROPN
ejpam-6693	217	3	)	)	PUNCT
ejpam-6693	217	4	+	+	CCONJ
ejpam-6693	217	5	εi(k)−	εi(k)−	PROPN
ejpam-6693	217	6	dr(k	dr(k	X
ejpam-6693	217	7	)	)	PUNCT
ejpam-6693	217	8	]	]	PUNCT
ejpam-6693	218	1	substituting	substitute	VERB
ejpam-6693	218	2	the	the	DET
ejpam-6693	218	3	initial	initial	ADJ
ejpam-6693	218	4	conditions	condition	NOUN
ejpam-6693	218	5	s(0	s(0	PROPN
ejpam-6693	218	6	)	)	PUNCT
ejpam-6693	218	7	=	=	SYM
ejpam-6693	218	8	20	20	NUM
ejpam-6693	218	9	,	,	PUNCT
ejpam-6693	218	10	i(0	i(0	PROPN
ejpam-6693	218	11	)	)	PUNCT
ejpam-6693	218	12	=	=	SYM
ejpam-6693	218	13	15	15	NUM
ejpam-6693	218	14	,	,	PUNCT
ejpam-6693	218	15	r(0	r(0	PROPN
ejpam-6693	218	16	)	)	PUNCT
ejpam-6693	218	17	=	=	SYM
ejpam-6693	218	18	10	10	NUM
ejpam-6693	218	19	,	,	PUNCT
ejpam-6693	218	20	we	we	PRON
ejpam-6693	218	21	obtain	obtain	VERB
ejpam-6693	218	22	the	the	DET
ejpam-6693	218	23	values	value	NOUN
ejpam-6693	218	24	of	of	ADP
ejpam-6693	218	25	s(k	s(k	PROPN
ejpam-6693	218	26	)	)	PUNCT
ejpam-6693	218	27	,	,	PUNCT
ejpam-6693	218	28	i(k	i(k	PROPN
ejpam-6693	218	29	)	)	PUNCT
ejpam-6693	218	30	,	,	PUNCT
ejpam-6693	218	31	r(k	r(k	PROPN
ejpam-6693	218	32	)	)	PUNCT
ejpam-6693	218	33	,	,	PUNCT
ejpam-6693	218	34	0	0	NUM
ejpam-6693	218	35	≤	≤	NUM
ejpam-6693	218	36	k	k	X
ejpam-6693	218	37	≤	≤	NUM
ejpam-6693	218	38	4	4	NUM
ejpam-6693	218	39	as	as	SCONJ
ejpam-6693	218	40	follows	follow	VERB
ejpam-6693	218	41	.	.	PUNCT
ejpam-6693	219	1	thus	thus	ADV
ejpam-6693	219	2	,	,	PUNCT
ejpam-6693	219	3	the	the	DET
ejpam-6693	219	4	approximate	approximate	ADJ
ejpam-6693	219	5	solution	solution	NOUN
ejpam-6693	219	6	becomes	become	VERB
ejpam-6693	219	7	s(t	s(t	PROPN
ejpam-6693	219	8	)	)	PUNCT
ejpam-6693	219	9	=	=	PUNCT
ejpam-6693	220	1	20−	20−	NUM
ejpam-6693	220	2	2.4177t1/10	2.4177t1/10	NUM
ejpam-6693	220	3	+	+	CCONJ
ejpam-6693	220	4	0.3350t2/10	0.3350t2/10	ADJ
ejpam-6693	220	5	−	−	NOUN
ejpam-6693	220	6	0.04716t3/10	0.04716t3/10	NOUN
ejpam-6693	221	1	+	+	CCONJ
ejpam-6693	221	2	0.005841t4/10	0.005841t4/10	ADJ
ejpam-6693	221	3	i(t	i(t	NOUN
ejpam-6693	221	4	)	)	PUNCT
ejpam-6693	221	5	=	=	SYM
ejpam-6693	222	1	15−	15−	PROPN
ejpam-6693	223	1	2.3126t1/10	2.3126t1/10	NUM
ejpam-6693	223	2	+	+	CCONJ
ejpam-6693	223	3	0.0996t2/10	0.0996t2/10	PRON
ejpam-6693	223	4	+	+	CCONJ
ejpam-6693	223	5	0.03319t3/10	0.03319t3/10	NUM
ejpam-6693	223	6	−	−	PROPN
ejpam-6693	223	7	0.004836t4/10	0.004836t4/10	NOUN
ejpam-6693	223	8	(	(	PUNCT
ejpam-6693	223	9	15	15	NUM
ejpam-6693	223	10	)	)	PUNCT
ejpam-6693	223	11	r(t	r(t	NOUN
ejpam-6693	223	12	)	)	PUNCT
ejpam-6693	223	13	=	=	PUNCT
ejpam-6693	224	1	10	10	NUM
ejpam-6693	224	2	+	+	CCONJ
ejpam-6693	224	3	0.5255t1/10	0.5255t1/10	NUM
ejpam-6693	224	4	−	−	NOUN
ejpam-6693	224	5	0.2981t2/10	0.2981t2/10	ADJ
ejpam-6693	225	1	+	+	CCONJ
ejpam-6693	225	2	0.04037t3/10	0.04037t3/10	NUM
ejpam-6693	225	3	−	−	NOUN
ejpam-6693	225	4	0.00070805t4/10	0.00070805t4/10	PROPN
ejpam-6693	225	5	r.	r.	PROPN
ejpam-6693	225	6	m.	m.	PROPN
ejpam-6693	225	7	kamble	kamble	PROPN
ejpam-6693	225	8	,	,	PUNCT
ejpam-6693	225	9	p.	p.	PROPN
ejpam-6693	225	10	r.	r.	PROPN
ejpam-6693	225	11	kulkarni	kulkarni	PROPN
ejpam-6693	225	12	/	/	SYM
ejpam-6693	225	13	eur	eur	PROPN
ejpam-6693	225	14	.	.	PUNCT
ejpam-6693	226	1	j.	j.	PROPN
ejpam-6693	226	2	pure	pure	PROPN
ejpam-6693	226	3	appl	appl	PROPN
ejpam-6693	226	4	.	.	PROPN
ejpam-6693	226	5	math	math	PROPN
ejpam-6693	226	6	,	,	PUNCT
ejpam-6693	226	7	18	18	NUM
ejpam-6693	226	8	(	(	PUNCT
ejpam-6693	226	9	4	4	NUM
ejpam-6693	226	10	)	)	PUNCT
ejpam-6693	226	11	(	(	PUNCT
ejpam-6693	226	12	2025	2025	NUM
ejpam-6693	226	13	)	)	PUNCT
ejpam-6693	226	14	,	,	PUNCT
ejpam-6693	226	15	6693	6693	NUM
ejpam-6693	226	16	9	9	NUM
ejpam-6693	226	17	of	of	ADP
ejpam-6693	226	18	40	40	NUM
ejpam-6693	226	19	table	table	NOUN
ejpam-6693	226	20	2	2	NUM
ejpam-6693	226	21	:	:	PUNCT
ejpam-6693	226	22	values	value	NOUN
ejpam-6693	226	23	of	of	ADP
ejpam-6693	226	24	s(k	s(k	PROPN
ejpam-6693	226	25	)	)	PUNCT
ejpam-6693	226	26	,	,	PUNCT
ejpam-6693	226	27	i(k	i(k	PROPN
ejpam-6693	226	28	)	)	PUNCT
ejpam-6693	226	29	,	,	PUNCT
ejpam-6693	226	30	r(k	r(k	PROPN
ejpam-6693	226	31	)	)	PUNCT
ejpam-6693	226	32	,	,	PUNCT
ejpam-6693	226	33	γ	γ	NOUN
ejpam-6693	226	34	=	=	SYM
ejpam-6693	226	35	1/10	1/10	NUM
ejpam-6693	226	36	.	.	PUNCT
ejpam-6693	227	1	sr	sr	PROPN
ejpam-6693	227	2	.	.	PUNCT
ejpam-6693	228	1	no	no	INTJ
ejpam-6693	228	2	.	.	PUNCT
ejpam-6693	229	1	k	k	NOUN
ejpam-6693	229	2	s(k	s(k	ADV
ejpam-6693	229	3	)	)	PUNCT
ejpam-6693	229	4	i(k	i(k	PROPN
ejpam-6693	229	5	)	)	PUNCT
ejpam-6693	229	6	r(k	r(k	PROPN
ejpam-6693	229	7	)	)	PUNCT
ejpam-6693	229	8	1	1	NUM
ejpam-6693	229	9	0	0	NUM
ejpam-6693	229	10	20	20	NUM
ejpam-6693	229	11	15	15	NUM
ejpam-6693	229	12	10	10	NUM
ejpam-6693	229	13	2	2	NUM
ejpam-6693	229	14	1	1	NUM
ejpam-6693	229	15	−2.4177	−2.4177	PROPN
ejpam-6693	229	16	−2.3126	−2.3126	NOUN
ejpam-6693	229	17	0.5255	0.5255	NUM
ejpam-6693	229	18	3	3	NUM
ejpam-6693	229	19	2	2	NUM
ejpam-6693	229	20	0.3350	0.3350	NUM
ejpam-6693	229	21	0.0996	0.0996	NUM
ejpam-6693	229	22	−0.2981	−0.2981	NOUN
ejpam-6693	229	23	4	4	NUM
ejpam-6693	229	24	3	3	NUM
ejpam-6693	229	25	−0.04716	−0.04716	NUM
ejpam-6693	229	26	0.03319	0.03319	NUM
ejpam-6693	229	27	0.04037	0.04037	NUM
ejpam-6693	229	28	5	5	NUM
ejpam-6693	229	29	4	4	NUM
ejpam-6693	229	30	0.005841	0.005841	NUM
ejpam-6693	229	31	−0.004836	−0.004836	NOUN
ejpam-6693	229	32	−0.00070805	−0.00070805	PROPN
ejpam-6693	229	33	case	case	NOUN
ejpam-6693	229	34	ii	ii	NOUN
ejpam-6693	229	35	:	:	PUNCT
ejpam-6693	229	36	γ	γ	X
ejpam-6693	229	37	=	=	SYM
ejpam-6693	229	38	1/2	1/2	NUM
ejpam-6693	229	39	for	for	ADP
ejpam-6693	229	40	γ	γ	X
ejpam-6693	229	41	=	=	SYM
ejpam-6693	229	42	1/2	1/2	NUM
ejpam-6693	229	43	,	,	PUNCT
ejpam-6693	229	44	setting	set	VERB
ejpam-6693	229	45	µ	µ	NOUN
ejpam-6693	229	46	=	=	SYM
ejpam-6693	229	47	2	2	NUM
ejpam-6693	229	48	,	,	PUNCT
ejpam-6693	229	49	using	use	VERB
ejpam-6693	229	50	(	(	PUNCT
ejpam-6693	229	51	12	12	NUM
ejpam-6693	229	52	)	)	PUNCT
ejpam-6693	229	53	,	,	PUNCT
ejpam-6693	229	54	we	we	PRON
ejpam-6693	229	55	obtain	obtain	VERB
ejpam-6693	229	56	s(k	s(k	PRON
ejpam-6693	229	57	+	+	CCONJ
ejpam-6693	229	58	2γ	2γ	NOUN
ejpam-6693	229	59	)	)	PUNCT
ejpam-6693	229	60	=	=	SYM
ejpam-6693	230	1	γ(1	γ(1	PROPN
ejpam-6693	230	2	+	+	NUM
ejpam-6693	230	3	k/2	k/2	NOUN
ejpam-6693	230	4	)	)	PUNCT
ejpam-6693	231	1	γ(1	γ(1	PROPN
ejpam-6693	231	2	+	+	CCONJ
ejpam-6693	231	3	γ	γ	PROPN
ejpam-6693	231	4	+	+	SYM
ejpam-6693	231	5	k/2	k/2	NOUN
ejpam-6693	231	6	)	)	PUNCT
ejpam-6693	231	7	[	[	PUNCT
ejpam-6693	231	8	f1δ(k)−	f1δ(k)−	NOUN
ejpam-6693	231	9	λ	λ	X
ejpam-6693	231	10	k∑	k∑	VERB
ejpam-6693	232	1	l=0	l=0	PROPN
ejpam-6693	232	2	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	232	3	−	−	PROPN
ejpam-6693	232	4	l)−	l)−	PROPN
ejpam-6693	232	5	ds(k	ds(k	PUNCT
ejpam-6693	232	6	)	)	PUNCT
ejpam-6693	232	7	]	]	PUNCT
ejpam-6693	233	1	i(k	i(k	PROPN
ejpam-6693	233	2	+	+	NUM
ejpam-6693	233	3	2γ	2γ	NOUN
ejpam-6693	233	4	)	)	PUNCT
ejpam-6693	233	5	=	=	SYM
ejpam-6693	233	6	γ(1	γ(1	PROPN
ejpam-6693	233	7	+	+	NUM
ejpam-6693	233	8	k/2	k/2	NOUN
ejpam-6693	233	9	)	)	PUNCT
ejpam-6693	234	1	γ(1	γ(1	PROPN
ejpam-6693	234	2	+	+	CCONJ
ejpam-6693	234	3	γ	γ	PROPN
ejpam-6693	234	4	+	+	SYM
ejpam-6693	234	5	k/2	k/2	NOUN
ejpam-6693	234	6	)	)	PUNCT
ejpam-6693	234	7	[	[	PUNCT
ejpam-6693	234	8	f2δ(k	f2δ(k	PROPN
ejpam-6693	234	9	)	)	PUNCT
ejpam-6693	235	1	+	+	NUM
ejpam-6693	235	2	λ	λ	AUX
ejpam-6693	235	3	k∑	k∑	VERB
ejpam-6693	235	4	l=0	l=0	PROPN
ejpam-6693	235	5	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	235	6	−	−	PROPN
ejpam-6693	236	1	l)−	l)−	PROPN
ejpam-6693	236	2	εi(k)−	εi(k)−	PROPN
ejpam-6693	236	3	dr(k	dr(k	PUNCT
ejpam-6693	236	4	)	)	PUNCT
ejpam-6693	236	5	]	]	PUNCT
ejpam-6693	237	1	r(k	r(k	PROPN
ejpam-6693	237	2	+	+	NUM
ejpam-6693	237	3	2γ	2γ	NOUN
ejpam-6693	237	4	)	)	PUNCT
ejpam-6693	237	5	=	=	SYM
ejpam-6693	237	6	γ(1	γ(1	PROPN
ejpam-6693	237	7	+	+	NUM
ejpam-6693	237	8	k/2	k/2	NOUN
ejpam-6693	237	9	)	)	PUNCT
ejpam-6693	238	1	γ(1	γ(1	PROPN
ejpam-6693	238	2	+	+	CCONJ
ejpam-6693	238	3	γ	γ	PROPN
ejpam-6693	238	4	+	+	SYM
ejpam-6693	238	5	k/2	k/2	NOUN
ejpam-6693	238	6	)	)	PUNCT
ejpam-6693	239	1	[	[	X
ejpam-6693	239	2	f3δ(k	f3δ(k	PROPN
ejpam-6693	239	3	)	)	PUNCT
ejpam-6693	239	4	+	+	CCONJ
ejpam-6693	239	5	εi(k)−	εi(k)−	PROPN
ejpam-6693	239	6	dr(k	dr(k	X
ejpam-6693	239	7	)	)	PUNCT
ejpam-6693	239	8	]	]	PUNCT
ejpam-6693	239	9	using	use	VERB
ejpam-6693	239	10	the	the	DET
ejpam-6693	239	11	initial	initial	ADJ
ejpam-6693	239	12	conditions	condition	NOUN
ejpam-6693	239	13	s(0	s(0	PROPN
ejpam-6693	239	14	)	)	PUNCT
ejpam-6693	239	15	=	=	SYM
ejpam-6693	239	16	20	20	NUM
ejpam-6693	239	17	,	,	PUNCT
ejpam-6693	239	18	i(0	i(0	PROPN
ejpam-6693	239	19	)	)	PUNCT
ejpam-6693	239	20	=	=	SYM
ejpam-6693	239	21	15	15	NUM
ejpam-6693	239	22	,	,	PUNCT
ejpam-6693	239	23	r(0	r(0	PROPN
ejpam-6693	239	24	)	)	PUNCT
ejpam-6693	239	25	=	=	SYM
ejpam-6693	240	1	10	10	NUM
ejpam-6693	240	2	,	,	PUNCT
ejpam-6693	240	3	we	we	PRON
ejpam-6693	240	4	obtain	obtain	VERB
ejpam-6693	240	5	the	the	DET
ejpam-6693	240	6	values	value	NOUN
ejpam-6693	240	7	of	of	ADP
ejpam-6693	240	8	s(k	s(k	PROPN
ejpam-6693	240	9	)	)	PUNCT
ejpam-6693	240	10	,	,	PUNCT
ejpam-6693	240	11	i(k	i(k	PROPN
ejpam-6693	240	12	)	)	PUNCT
ejpam-6693	240	13	,	,	PUNCT
ejpam-6693	240	14	r(k	r(k	PROPN
ejpam-6693	240	15	)	)	PUNCT
ejpam-6693	240	16	,	,	PUNCT
ejpam-6693	240	17	0	0	NUM
ejpam-6693	240	18	≤	≤	NUM
ejpam-6693	240	19	k	k	X
ejpam-6693	240	20	≤	≤	NUM
ejpam-6693	240	21	4	4	NUM
ejpam-6693	240	22	as	as	SCONJ
ejpam-6693	240	23	follows	follow	VERB
ejpam-6693	240	24	.	.	PUNCT
ejpam-6693	241	1	thus	thus	ADV
ejpam-6693	241	2	,	,	PUNCT
ejpam-6693	241	3	the	the	DET
ejpam-6693	241	4	approximate	approximate	ADJ
ejpam-6693	241	5	solution	solution	NOUN
ejpam-6693	241	6	takes	take	VERB
ejpam-6693	241	7	the	the	DET
ejpam-6693	241	8	form	form	NOUN
ejpam-6693	241	9	table	table	NOUN
ejpam-6693	241	10	3	3	NUM
ejpam-6693	241	11	:	:	PUNCT
ejpam-6693	241	12	values	value	NOUN
ejpam-6693	241	13	of	of	ADP
ejpam-6693	241	14	s(k	s(k	PROPN
ejpam-6693	241	15	)	)	PUNCT
ejpam-6693	241	16	,	,	PUNCT
ejpam-6693	241	17	i(k	i(k	PROPN
ejpam-6693	241	18	)	)	PUNCT
ejpam-6693	241	19	,	,	PUNCT
ejpam-6693	241	20	r(k	r(k	PROPN
ejpam-6693	241	21	)	)	PUNCT
ejpam-6693	241	22	,	,	PUNCT
ejpam-6693	241	23	γ	γ	X
ejpam-6693	241	24	=	=	SYM
ejpam-6693	241	25	1/2	1/2	NUM
ejpam-6693	241	26	.	.	PUNCT
ejpam-6693	242	1	sr	sr	PROPN
ejpam-6693	242	2	.	.	PUNCT
ejpam-6693	243	1	no	no	INTJ
ejpam-6693	243	2	.	.	PUNCT
ejpam-6693	244	1	k	k	NOUN
ejpam-6693	244	2	s(k	s(k	ADV
ejpam-6693	244	3	)	)	PUNCT
ejpam-6693	244	4	i(k	i(k	PROPN
ejpam-6693	244	5	)	)	PUNCT
ejpam-6693	244	6	r(k	r(k	PROPN
ejpam-6693	244	7	)	)	PUNCT
ejpam-6693	244	8	1	1	NUM
ejpam-6693	244	9	0	0	NUM
ejpam-6693	244	10	20	20	NUM
ejpam-6693	244	11	15	15	NUM
ejpam-6693	244	12	10	10	NUM
ejpam-6693	244	13	2	2	NUM
ejpam-6693	244	14	1	1	NUM
ejpam-6693	244	15	−2.5953	−2.5953	NOUN
ejpam-6693	244	16	−2.4825	−2.4825	NUM
ejpam-6693	244	17	0.5642	0.5642	NUM
ejpam-6693	244	18	3	3	NUM
ejpam-6693	244	19	2	2	NUM
ejpam-6693	244	20	0.3084	0.3084	NUM
ejpam-6693	244	21	0.0915	0.0915	NUM
ejpam-6693	244	22	−0.2699	−0.2699	ADP
ejpam-6693	244	23	4	4	NUM
ejpam-6693	244	24	3	3	NUM
ejpam-6693	244	25	−0.02477	−0.02477	NOUN
ejpam-6693	244	26	0.01479	0.01479	NUM
ejpam-6693	244	27	0.02718	0.02718	NUM
ejpam-6693	244	28	5	5	NUM
ejpam-6693	244	29	4	4	NUM
ejpam-6693	244	30	0.002359	0.002359	NUM
ejpam-6693	244	31	−0.003505	−0.003505	PROPN
ejpam-6693	244	32	−0.001411	−0.001411	NUM
ejpam-6693	244	33	s(t	s(t	PROPN
ejpam-6693	244	34	)	)	PUNCT
ejpam-6693	244	35	=	=	PUNCT
ejpam-6693	245	1	20−	20−	NUM
ejpam-6693	245	2	2.5953t1/2	2.5953t1/2	NUM
ejpam-6693	246	1	+	+	CCONJ
ejpam-6693	246	2	0.3084t−	0.3084t−	NUM
ejpam-6693	246	3	0.02477t3/2	0.02477t3/2	NOUN
ejpam-6693	247	1	+	+	CCONJ
ejpam-6693	247	2	0.002359t2	0.002359t2	PROPN
ejpam-6693	247	3	i(t	i(t	NOUN
ejpam-6693	247	4	)	)	PUNCT
ejpam-6693	248	1	=	=	SYM
ejpam-6693	249	1	15−	15−	NUM
ejpam-6693	249	2	2.4825t1/2	2.4825t1/2	NUM
ejpam-6693	250	1	+	+	CCONJ
ejpam-6693	251	1	0.0915t+	0.0915t+	NUM
ejpam-6693	251	2	0.01479t3/2	0.01479t3/2	NOUN
ejpam-6693	251	3	−	−	NOUN
ejpam-6693	251	4	0.003505t2	0.003505t2	SYM
ejpam-6693	251	5	r(t	r(t	NOUN
ejpam-6693	251	6	)	)	PUNCT
ejpam-6693	251	7	=	=	PUNCT
ejpam-6693	252	1	10	10	NUM
ejpam-6693	252	2	+	+	NUM
ejpam-6693	252	3	0.5642t1/2	0.5642t1/2	ADJ
ejpam-6693	252	4	−	−	NOUN
ejpam-6693	252	5	0.2699t+	0.2699t+	NUM
ejpam-6693	252	6	0.02718t3/2	0.02718t3/2	NOUN
ejpam-6693	253	1	−	−	NOUN
ejpam-6693	253	2	0.001411t2	0.001411t2	NUM
ejpam-6693	253	3	(	(	PUNCT
ejpam-6693	253	4	16	16	NUM
ejpam-6693	253	5	)	)	PUNCT
ejpam-6693	253	6	case	case	NOUN
ejpam-6693	253	7	iii	iii	NOUN
ejpam-6693	253	8	:	:	PUNCT
ejpam-6693	253	9	γ	γ	X
ejpam-6693	253	10	=	=	SYM
ejpam-6693	253	11	1	1	NUM
ejpam-6693	253	12	for	for	ADP
ejpam-6693	253	13	γ	γ	X
ejpam-6693	253	14	=	=	SYM
ejpam-6693	253	15	1	1	NUM
ejpam-6693	253	16	,	,	PUNCT
ejpam-6693	253	17	setting	set	VERB
ejpam-6693	253	18	γµ	γµ	ADP
ejpam-6693	253	19	=	=	SYM
ejpam-6693	253	20	1,i.e	1,i.e	NUM
ejpam-6693	253	21	µ	µ	X
ejpam-6693	253	22	=	=	SYM
ejpam-6693	253	23	1	1	NUM
ejpam-6693	253	24	we	we	PRON
ejpam-6693	253	25	obtain	obtain	VERB
ejpam-6693	253	26	(	(	PUNCT
ejpam-6693	253	27	12	12	NUM
ejpam-6693	253	28	)	)	PUNCT
ejpam-6693	253	29	as	as	SCONJ
ejpam-6693	253	30	follows	follow	VERB
ejpam-6693	253	31	s(k	s(k	ADV
ejpam-6693	253	32	+	+	CCONJ
ejpam-6693	253	33	1	1	X
ejpam-6693	253	34	)	)	PUNCT
ejpam-6693	253	35	=	=	SYM
ejpam-6693	254	1	γ(1	γ(1	PROPN
ejpam-6693	254	2	+	+	NUM
ejpam-6693	254	3	k	k	NOUN
ejpam-6693	254	4	)	)	PUNCT
ejpam-6693	254	5	γ(2	γ(2	PROPN
ejpam-6693	254	6	+	+	CCONJ
ejpam-6693	254	7	k	k	X
ejpam-6693	254	8	)	)	PUNCT
ejpam-6693	254	9	[	[	PUNCT
ejpam-6693	254	10	f1δ(k)−	f1δ(k)−	NOUN
ejpam-6693	254	11	λ	λ	X
ejpam-6693	254	12	k∑	k∑	VERB
ejpam-6693	255	1	l=0	l=0	PROPN
ejpam-6693	255	2	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	255	3	−	−	PROPN
ejpam-6693	255	4	l)−	l)−	PROPN
ejpam-6693	255	5	ds(k	ds(k	PUNCT
ejpam-6693	255	6	)	)	PUNCT
ejpam-6693	255	7	]	]	PUNCT
ejpam-6693	255	8	r.	r.	PROPN
ejpam-6693	255	9	m.	m.	PROPN
ejpam-6693	255	10	kamble	kamble	PROPN
ejpam-6693	255	11	,	,	PUNCT
ejpam-6693	255	12	p.	p.	PROPN
ejpam-6693	255	13	r.	r.	PROPN
ejpam-6693	255	14	kulkarni	kulkarni	PROPN
ejpam-6693	255	15	/	/	SYM
ejpam-6693	255	16	eur	eur	PROPN
ejpam-6693	255	17	.	.	PUNCT
ejpam-6693	256	1	j.	j.	PROPN
ejpam-6693	256	2	pure	pure	PROPN
ejpam-6693	256	3	appl	appl	PROPN
ejpam-6693	256	4	.	.	PROPN
ejpam-6693	256	5	math	math	PROPN
ejpam-6693	256	6	,	,	PUNCT
ejpam-6693	256	7	18	18	NUM
ejpam-6693	256	8	(	(	PUNCT
ejpam-6693	256	9	4	4	NUM
ejpam-6693	256	10	)	)	PUNCT
ejpam-6693	256	11	(	(	PUNCT
ejpam-6693	256	12	2025	2025	NUM
ejpam-6693	256	13	)	)	PUNCT
ejpam-6693	256	14	,	,	PUNCT
ejpam-6693	256	15	6693	6693	NUM
ejpam-6693	256	16	10	10	NUM
ejpam-6693	256	17	of	of	ADP
ejpam-6693	256	18	40	40	NUM
ejpam-6693	257	1	i(k	i(k	ADJ
ejpam-6693	257	2	+	+	ADJ
ejpam-6693	257	3	1	1	NUM
ejpam-6693	257	4	)	)	PUNCT
ejpam-6693	257	5	=	=	SYM
ejpam-6693	258	1	γ(1	γ(1	PROPN
ejpam-6693	258	2	+	+	NUM
ejpam-6693	258	3	k	k	NOUN
ejpam-6693	258	4	)	)	PUNCT
ejpam-6693	258	5	γ(2	γ(2	PROPN
ejpam-6693	258	6	+	+	CCONJ
ejpam-6693	258	7	k	k	X
ejpam-6693	258	8	)	)	PUNCT
ejpam-6693	258	9	[	[	PUNCT
ejpam-6693	258	10	f2δ(k	f2δ(k	PROPN
ejpam-6693	258	11	)	)	PUNCT
ejpam-6693	259	1	+	+	NUM
ejpam-6693	259	2	λ	λ	AUX
ejpam-6693	259	3	k∑	k∑	VERB
ejpam-6693	259	4	l=0	l=0	PROPN
ejpam-6693	259	5	s(l)i(k	s(l)i(k	PROPN
ejpam-6693	259	6	−	−	PROPN
ejpam-6693	260	1	l)−	l)−	PROPN
ejpam-6693	260	2	εi(k)−	εi(k)−	PROPN
ejpam-6693	260	3	dr(k	dr(k	PUNCT
ejpam-6693	260	4	)	)	PUNCT
ejpam-6693	260	5	]	]	PUNCT
ejpam-6693	261	1	r(k	r(k	PROPN
ejpam-6693	261	2	+	+	NOUN
ejpam-6693	261	3	1	1	X
ejpam-6693	261	4	)	)	PUNCT
ejpam-6693	261	5	=	=	SYM
ejpam-6693	262	1	γ(1	γ(1	PROPN
ejpam-6693	262	2	+	+	NUM
ejpam-6693	262	3	k	k	NOUN
ejpam-6693	262	4	)	)	PUNCT
ejpam-6693	262	5	γ(2	γ(2	PROPN
ejpam-6693	262	6	+	+	CCONJ
ejpam-6693	262	7	k	k	X
ejpam-6693	262	8	)	)	PUNCT
ejpam-6693	263	1	[	[	X
ejpam-6693	263	2	f3δ(k	f3δ(k	PROPN
ejpam-6693	263	3	)	)	PUNCT
ejpam-6693	263	4	+	+	CCONJ
ejpam-6693	263	5	εi(k)−	εi(k)−	PROPN
ejpam-6693	263	6	dr(k	dr(k	PUNCT
ejpam-6693	263	7	)	)	PUNCT
ejpam-6693	263	8	]	]	PUNCT
ejpam-6693	263	9	the	the	DET
ejpam-6693	263	10	table	table	NOUN
ejpam-6693	263	11	of	of	ADP
ejpam-6693	263	12	values	value	NOUN
ejpam-6693	263	13	of	of	ADP
ejpam-6693	263	14	s(k	s(k	PROPN
ejpam-6693	263	15	)	)	PUNCT
ejpam-6693	263	16	,	,	PUNCT
ejpam-6693	263	17	i(k	i(k	PROPN
ejpam-6693	263	18	)	)	PUNCT
ejpam-6693	263	19	,	,	PUNCT
ejpam-6693	263	20	r(k	r(k	PROPN
ejpam-6693	263	21	)	)	PUNCT
ejpam-6693	263	22	,	,	PUNCT
ejpam-6693	263	23	0	0	NUM
ejpam-6693	263	24	≤	≤	NUM
ejpam-6693	263	25	k	k	X
ejpam-6693	263	26	≤	≤	NUM
ejpam-6693	263	27	4	4	NUM
ejpam-6693	263	28	can	can	AUX
ejpam-6693	263	29	be	be	AUX
ejpam-6693	263	30	obtained	obtain	VERB
ejpam-6693	263	31	as	as	ADP
ejpam-6693	263	32	follows	follow	VERB
ejpam-6693	263	33	.	.	PUNCT
ejpam-6693	264	1	the	the	DET
ejpam-6693	264	2	table	table	NOUN
ejpam-6693	264	3	4	4	NUM
ejpam-6693	264	4	:	:	PUNCT
ejpam-6693	264	5	values	value	NOUN
ejpam-6693	264	6	of	of	ADP
ejpam-6693	264	7	s(k	s(k	PROPN
ejpam-6693	264	8	)	)	PUNCT
ejpam-6693	264	9	,	,	PUNCT
ejpam-6693	264	10	i(k	i(k	PROPN
ejpam-6693	264	11	)	)	PUNCT
ejpam-6693	264	12	,	,	PUNCT
ejpam-6693	264	13	r(k	r(k	PROPN
ejpam-6693	264	14	)	)	PUNCT
ejpam-6693	264	15	,	,	PUNCT
ejpam-6693	264	16	γ	γ	NOUN
ejpam-6693	264	17	=	=	SYM
ejpam-6693	264	18	1	1	X
ejpam-6693	264	19	.	.	PUNCT
ejpam-6693	264	20	sr	sr	PROPN
ejpam-6693	264	21	.	.	PUNCT
ejpam-6693	265	1	no	no	INTJ
ejpam-6693	265	2	.	.	PUNCT
ejpam-6693	266	1	k	k	NOUN
ejpam-6693	266	2	s(k	s(k	ADV
ejpam-6693	266	3	)	)	PUNCT
ejpam-6693	266	4	i(k	i(k	PROPN
ejpam-6693	266	5	)	)	PUNCT
ejpam-6693	266	6	r(k	r(k	PROPN
ejpam-6693	266	7	)	)	PUNCT
ejpam-6693	266	8	1	1	NUM
ejpam-6693	266	9	0	0	NUM
ejpam-6693	266	10	20	20	NUM
ejpam-6693	266	11	15	15	NUM
ejpam-6693	266	12	10	10	NUM
ejpam-6693	266	13	2	2	NUM
ejpam-6693	266	14	1	1	NUM
ejpam-6693	266	15	−2.3	−2.3	NOUN
ejpam-6693	267	1	−2.2	−2.2	NOUN
ejpam-6693	267	2	0.5	0.5	NUM
ejpam-6693	267	3	3	3	NUM
ejpam-6693	267	4	2	2	NUM
ejpam-6693	267	5	0.15425	0.15425	NUM
ejpam-6693	267	6	0.04575	0.04575	NUM
ejpam-6693	267	7	−0.135	−0.135	PROPN
ejpam-6693	267	8	4	4	NUM
ejpam-6693	267	9	3	3	NUM
ejpam-6693	267	10	−0.007904	−0.007904	PROPN
ejpam-6693	267	11	0.005737	0.005737	NUM
ejpam-6693	267	12	0.006025	0.006025	NUM
ejpam-6693	267	13	5	5	NUM
ejpam-6693	267	14	4	4	NUM
ejpam-6693	267	15	0.0003097	0.0003097	NUM
ejpam-6693	267	16	−0.0004061	−0.0004061	PROPN
ejpam-6693	267	17	−0.0000216	−0.0000216	NUM
ejpam-6693	267	18	approximate	approximate	ADJ
ejpam-6693	267	19	solution	solution	NOUN
ejpam-6693	267	20	up	up	ADP
ejpam-6693	267	21	to	to	PART
ejpam-6693	267	22	five	five	NUM
ejpam-6693	267	23	iterations	iteration	NOUN
ejpam-6693	267	24	in	in	ADP
ejpam-6693	267	25	this	this	DET
ejpam-6693	267	26	case	case	NOUN
ejpam-6693	267	27	is	be	AUX
ejpam-6693	267	28	s(t	s(t	PROPN
ejpam-6693	267	29	)	)	PUNCT
ejpam-6693	267	30	=	=	PUNCT
ejpam-6693	268	1	20−	20−	NUM
ejpam-6693	268	2	2.3t+	2.3t+	VERB
ejpam-6693	268	3	0.15425t2	0.15425t2	NUM
ejpam-6693	268	4	−	−	NOUN
ejpam-6693	268	5	0.007904t3	0.007904t3	NUM
ejpam-6693	269	1	+	+	NUM
ejpam-6693	269	2	0.0003097t4	0.0003097t4	NUM
ejpam-6693	269	3	i(t	i(t	NOUN
ejpam-6693	269	4	)	)	PUNCT
ejpam-6693	269	5	=	=	SYM
ejpam-6693	270	1	15−	15−	NUM
ejpam-6693	270	2	2.2t+	2.2t+	NOUN
ejpam-6693	270	3	0.04575t2	0.04575t2	PUNCT
ejpam-6693	271	1	+	+	CCONJ
ejpam-6693	271	2	0.005737t3	0.005737t3	NUM
ejpam-6693	271	3	−	−	NOUN
ejpam-6693	271	4	0.0004061t4	0.0004061t4	SYM
ejpam-6693	271	5	(	(	PUNCT
ejpam-6693	271	6	17	17	NUM
ejpam-6693	271	7	)	)	PUNCT
ejpam-6693	271	8	r(t	r(t	NOUN
ejpam-6693	271	9	)	)	PUNCT
ejpam-6693	271	10	=	=	PUNCT
ejpam-6693	272	1	10	10	NUM
ejpam-6693	272	2	+	+	CCONJ
ejpam-6693	272	3	0.5t−	0.5t−	AUX
ejpam-6693	272	4	0.135t2	0.135t2	VERB
ejpam-6693	272	5	+	+	CCONJ
ejpam-6693	272	6	0.006025t3	0.006025t3	NUM
ejpam-6693	272	7	−	−	NOUN
ejpam-6693	272	8	0.0000216t4	0.0000216t4	NUM
ejpam-6693	272	9	7	7	NUM
ejpam-6693	272	10	.	.	PUNCT
ejpam-6693	272	11	laplace	laplace	NOUN
ejpam-6693	272	12	-	-	PUNCT
ejpam-6693	272	13	adomian	adomian	NOUN
ejpam-6693	272	14	decomposition	decomposition	NOUN
ejpam-6693	272	15	method	method	NOUN
ejpam-6693	272	16	(	(	PUNCT
ejpam-6693	272	17	ladm	ladm	ADJ
ejpam-6693	272	18	)	)	PUNCT
ejpam-6693	272	19	now	now	ADV
ejpam-6693	272	20	we	we	PRON
ejpam-6693	272	21	solve	solve	VERB
ejpam-6693	272	22	the	the	DET
ejpam-6693	272	23	system	system	NOUN
ejpam-6693	272	24	of	of	ADP
ejpam-6693	272	25	equations	equation	NOUN
ejpam-6693	272	26	(	(	PUNCT
ejpam-6693	272	27	1	1	X
ejpam-6693	272	28	)	)	PUNCT
ejpam-6693	272	29	using	use	VERB
ejpam-6693	272	30	the	the	DET
ejpam-6693	272	31	laplace	laplace	NOUN
ejpam-6693	272	32	-	-	PUNCT
ejpam-6693	272	33	adomian	adomian	NOUN
ejpam-6693	272	34	decomposition	decomposition	NOUN
ejpam-6693	272	35	method	method	NOUN
ejpam-6693	272	36	.	.	PUNCT
ejpam-6693	273	1	denoting	denote	VERB
ejpam-6693	273	2	the	the	DET
ejpam-6693	273	3	laplace	laplace	NOUN
ejpam-6693	273	4	transform	transform	VERB
ejpam-6693	273	5	l[ϕ(t	l[ϕ(t	NOUN
ejpam-6693	273	6	)	)	PUNCT
ejpam-6693	273	7	]	]	PUNCT
ejpam-6693	274	1	=	=	PUNCT
ejpam-6693	274	2	φ(z	φ(z	NOUN
ejpam-6693	274	3	)	)	PUNCT
ejpam-6693	274	4	and	and	CCONJ
ejpam-6693	274	5	the	the	DET
ejpam-6693	274	6	laplace	laplace	NOUN
ejpam-6693	274	7	transform	transform	NOUN
ejpam-6693	274	8	of	of	ADP
ejpam-6693	274	9	the	the	DET
ejpam-6693	274	10	caputo	caputo	PROPN
ejpam-6693	274	11	fractional	fractional	PROPN
ejpam-6693	274	12	derivative	derivative	NOUN
ejpam-6693	274	13	of	of	ADP
ejpam-6693	274	14	the	the	DET
ejpam-6693	274	15	function	function	NOUN
ejpam-6693	274	16	ϕ	ϕ	NOUN
ejpam-6693	274	17	by	by	ADP
ejpam-6693	274	18	l	l	PROPN
ejpam-6693	275	1	[	[	X
ejpam-6693	275	2	dγϕ(t	dγϕ(t	PROPN
ejpam-6693	275	3	)	)	PUNCT
ejpam-6693	275	4	dt	dt	X
ejpam-6693	275	5	]	]	PUNCT
ejpam-6693	276	1	=	=	PUNCT
ejpam-6693	276	2	zγl[ϕ(t)]−	zγl[ϕ(t)]−	PROPN
ejpam-6693	276	3	n−1∑	n−1∑	NUM
ejpam-6693	276	4	k=0	k=0	PROPN
ejpam-6693	276	5	zγ−k−1ϕ(k)(0	zγ−k−1ϕ(k)(0	PROPN
ejpam-6693	276	6	)	)	PUNCT
ejpam-6693	276	7	since	since	SCONJ
ejpam-6693	276	8	γ	γ	PROPN
ejpam-6693	276	9	∈	∈	PROPN
ejpam-6693	276	10	(	(	PUNCT
ejpam-6693	276	11	0	0	NUM
ejpam-6693	276	12	,	,	PUNCT
ejpam-6693	276	13	1	1	NUM
ejpam-6693	276	14	]	]	PUNCT
ejpam-6693	276	15	i.e.	i.e.	X
ejpam-6693	276	16	n	n	X
ejpam-6693	276	17	=	=	SYM
ejpam-6693	276	18	1	1	NUM
ejpam-6693	276	19	,	,	PUNCT
ejpam-6693	276	20	the	the	DET
ejpam-6693	276	21	above	above	ADJ
ejpam-6693	276	22	equation	equation	NOUN
ejpam-6693	276	23	become	become	VERB
ejpam-6693	276	24	l	l	NOUN
ejpam-6693	277	1	[	[	X
ejpam-6693	277	2	dγϕ(t	dγϕ(t	PROPN
ejpam-6693	277	3	)	)	PUNCT
ejpam-6693	277	4	dt	dt	X
ejpam-6693	277	5	]	]	PUNCT
ejpam-6693	278	1	=	=	PUNCT
ejpam-6693	278	2	zγl[ϕ(t)]−	zγl[ϕ(t)]−	NOUN
ejpam-6693	278	3	zγ−1ϕ(0	zγ−1ϕ(0	NUM
ejpam-6693	278	4	)	)	PUNCT
ejpam-6693	279	1	using	use	VERB
ejpam-6693	279	2	this	this	DET
ejpam-6693	279	3	relation	relation	NOUN
ejpam-6693	279	4	and	and	CCONJ
ejpam-6693	279	5	the	the	DET
ejpam-6693	279	6	system	system	NOUN
ejpam-6693	279	7	of	of	ADP
ejpam-6693	279	8	equations	equation	NOUN
ejpam-6693	279	9	(	(	PUNCT
ejpam-6693	279	10	1	1	NUM
ejpam-6693	279	11	)	)	PUNCT
ejpam-6693	279	12	,	,	PUNCT
ejpam-6693	279	13	we	we	PRON
ejpam-6693	279	14	get	get	VERB
ejpam-6693	279	15	l[s(t	l[s(t	NOUN
ejpam-6693	279	16	)	)	PUNCT
ejpam-6693	279	17	]	]	PUNCT
ejpam-6693	280	1	=	=	SYM
ejpam-6693	280	2	s(0	s(0	PROPN
ejpam-6693	280	3	)	)	PUNCT
ejpam-6693	280	4	z	z	NOUN
ejpam-6693	280	5	−	−	PROPN
ejpam-6693	280	6	λ	λ	INTJ
ejpam-6693	280	7	l[s(t)i(t	l[s(t)i(t	PROPN
ejpam-6693	280	8	)	)	PUNCT
ejpam-6693	280	9	]	]	PUNCT
ejpam-6693	281	1	zγ	zγ	PROPN
ejpam-6693	281	2	−	−	PROPN
ejpam-6693	281	3	d	d	PROPN
ejpam-6693	281	4	l[s(t	l[s(t	NOUN
ejpam-6693	281	5	)	)	PUNCT
ejpam-6693	281	6	]	]	PUNCT
ejpam-6693	282	1	zγ	zγ	PROPN
ejpam-6693	282	2	l[i(t	l[i(t	NOUN
ejpam-6693	282	3	)	)	PUNCT
ejpam-6693	282	4	]	]	PUNCT
ejpam-6693	283	1	=	=	SYM
ejpam-6693	283	2	i(0	i(0	PROPN
ejpam-6693	283	3	)	)	PUNCT
ejpam-6693	283	4	z	z	NOUN
ejpam-6693	284	1	+	+	NUM
ejpam-6693	284	2	λ	λ	X
ejpam-6693	284	3	l[s(t)i(t	l[s(t)i(t	PROPN
ejpam-6693	284	4	)	)	PUNCT
ejpam-6693	284	5	]	]	PUNCT
ejpam-6693	285	1	zγ	zγ	PROPN
ejpam-6693	285	2	−	−	PROPN
ejpam-6693	285	3	ε	ε	PROPN
ejpam-6693	285	4	l[i(t	l[i(t	PROPN
ejpam-6693	285	5	)	)	PUNCT
ejpam-6693	285	6	]	]	PUNCT
ejpam-6693	286	1	zγ	zγ	PROPN
ejpam-6693	286	2	−	−	PROPN
ejpam-6693	286	3	d	d	PROPN
ejpam-6693	286	4	l[r(t	l[r(t	PROPN
ejpam-6693	286	5	)	)	PUNCT
ejpam-6693	286	6	]	]	PUNCT
ejpam-6693	286	7	zγ	zγ	PROPN
ejpam-6693	286	8	r.	r.	PROPN
ejpam-6693	286	9	m.	m.	PROPN
ejpam-6693	286	10	kamble	kamble	PROPN
ejpam-6693	286	11	,	,	PUNCT
ejpam-6693	287	1	p.	p.	PROPN
ejpam-6693	287	2	r.	r.	PROPN
ejpam-6693	288	1	kulkarni	kulkarni	PROPN
ejpam-6693	288	2	/	/	SYM
ejpam-6693	288	3	eur	eur	PROPN
ejpam-6693	288	4	.	.	PUNCT
ejpam-6693	289	1	j.	j.	PROPN
ejpam-6693	289	2	pure	pure	PROPN
ejpam-6693	289	3	appl	appl	PROPN
ejpam-6693	289	4	.	.	PROPN
ejpam-6693	289	5	math	math	PROPN
ejpam-6693	289	6	,	,	PUNCT
ejpam-6693	289	7	18	18	NUM
ejpam-6693	289	8	(	(	PUNCT
ejpam-6693	289	9	4	4	NUM
ejpam-6693	289	10	)	)	PUNCT
ejpam-6693	289	11	(	(	PUNCT
ejpam-6693	289	12	2025	2025	NUM
ejpam-6693	289	13	)	)	PUNCT
ejpam-6693	289	14	,	,	PUNCT
ejpam-6693	289	15	6693	6693	NUM
ejpam-6693	289	16	11	11	NUM
ejpam-6693	289	17	of	of	ADP
ejpam-6693	289	18	40	40	NUM
ejpam-6693	289	19	l[r(t	l[r(t	NOUN
ejpam-6693	289	20	)	)	PUNCT
ejpam-6693	289	21	]	]	PUNCT
ejpam-6693	290	1	=	=	PUNCT
ejpam-6693	290	2	r(0	r(0	PROPN
ejpam-6693	290	3	)	)	PUNCT
ejpam-6693	290	4	z	z	PROPN
ejpam-6693	291	1	+	+	NUM
ejpam-6693	291	2	ε	ε	PROPN
ejpam-6693	291	3	l[i(t	l[i(t	NOUN
ejpam-6693	291	4	)	)	PUNCT
ejpam-6693	291	5	]	]	PUNCT
ejpam-6693	292	1	zγ	zγ	PROPN
ejpam-6693	292	2	−	−	PROPN
ejpam-6693	292	3	d	d	PROPN
ejpam-6693	292	4	l[r(t	l[r(t	PROPN
ejpam-6693	292	5	)	)	PUNCT
ejpam-6693	292	6	]	]	PUNCT
ejpam-6693	293	1	zγ	zγ	X
ejpam-6693	293	2	setting	set	VERB
ejpam-6693	293	3	a(t	a(t	NOUN
ejpam-6693	293	4	)	)	PUNCT
ejpam-6693	293	5	=	=	SYM
ejpam-6693	293	6	s(t)i(t	s(t)i(t	NOUN
ejpam-6693	293	7	)	)	PUNCT
ejpam-6693	293	8	,	,	PUNCT
ejpam-6693	293	9	we	we	PRON
ejpam-6693	293	10	have	have	VERB
ejpam-6693	293	11	l[s(t	l[s(t	NOUN
ejpam-6693	293	12	)	)	PUNCT
ejpam-6693	293	13	]	]	PUNCT
ejpam-6693	294	1	=	=	SYM
ejpam-6693	294	2	s(0	s(0	PROPN
ejpam-6693	294	3	)	)	PUNCT
ejpam-6693	294	4	z	z	NOUN
ejpam-6693	294	5	−	−	PROPN
ejpam-6693	294	6	λ	λ	SYM
ejpam-6693	294	7	l[a(t	l[a(t	PROPN
ejpam-6693	294	8	)	)	PUNCT
ejpam-6693	294	9	]	]	PUNCT
ejpam-6693	295	1	zγ	zγ	PROPN
ejpam-6693	295	2	−	−	PROPN
ejpam-6693	295	3	d	d	PROPN
ejpam-6693	295	4	l[s(t	l[s(t	NOUN
ejpam-6693	295	5	)	)	PUNCT
ejpam-6693	295	6	]	]	PUNCT
ejpam-6693	296	1	zγ	zγ	PROPN
ejpam-6693	296	2	l[i(t	l[i(t	NOUN
ejpam-6693	296	3	)	)	PUNCT
ejpam-6693	296	4	]	]	PUNCT
ejpam-6693	297	1	=	=	SYM
ejpam-6693	297	2	i(0	i(0	PROPN
ejpam-6693	297	3	)	)	PUNCT
ejpam-6693	297	4	z	z	NOUN
ejpam-6693	298	1	+	+	NUM
ejpam-6693	298	2	λ	λ	PROPN
ejpam-6693	298	3	l[a(t	l[a(t	PROPN
ejpam-6693	298	4	)	)	PUNCT
ejpam-6693	298	5	]	]	PUNCT
ejpam-6693	299	1	zγ	zγ	PROPN
ejpam-6693	299	2	−	−	PROPN
ejpam-6693	299	3	ε	ε	PROPN
ejpam-6693	299	4	l[i(t	l[i(t	PROPN
ejpam-6693	299	5	)	)	PUNCT
ejpam-6693	299	6	]	]	PUNCT
ejpam-6693	300	1	zγ	zγ	PROPN
ejpam-6693	300	2	−	−	PROPN
ejpam-6693	300	3	d	d	PROPN
ejpam-6693	300	4	l[r(t	l[r(t	PROPN
ejpam-6693	300	5	)	)	PUNCT
ejpam-6693	300	6	]	]	PUNCT
ejpam-6693	301	1	zγ	zγ	PROPN
ejpam-6693	301	2	l[r(t	l[r(t	PROPN
ejpam-6693	301	3	)	)	PUNCT
ejpam-6693	301	4	]	]	PUNCT
ejpam-6693	302	1	=	=	PUNCT
ejpam-6693	302	2	r(0	r(0	PROPN
ejpam-6693	302	3	)	)	PUNCT
ejpam-6693	302	4	z	z	PROPN
ejpam-6693	303	1	+	+	NUM
ejpam-6693	303	2	ε	ε	PROPN
ejpam-6693	303	3	l[i(t	l[i(t	NOUN
ejpam-6693	303	4	)	)	PUNCT
ejpam-6693	303	5	]	]	PUNCT
ejpam-6693	304	1	zγ	zγ	PROPN
ejpam-6693	304	2	−	−	PROPN
ejpam-6693	304	3	d	d	PROPN
ejpam-6693	304	4	l[r(t	l[r(t	PROPN
ejpam-6693	304	5	)	)	PUNCT
ejpam-6693	304	6	]	]	PUNCT
ejpam-6693	305	1	zγ	zγ	ADP
ejpam-6693	305	2	the	the	DET
ejpam-6693	305	3	non	non	ADJ
ejpam-6693	305	4	-	-	ADJ
ejpam-6693	305	5	linear	linear	ADJ
ejpam-6693	305	6	term	term	NOUN
ejpam-6693	305	7	a	a	PRON
ejpam-6693	305	8	is	be	AUX
ejpam-6693	305	9	called	call	VERB
ejpam-6693	305	10	adomian	adomian	NOUN
ejpam-6693	305	11	polynomial	polynomial	NOUN
ejpam-6693	305	12	and	and	CCONJ
ejpam-6693	305	13	it	it	PRON
ejpam-6693	305	14	is	be	AUX
ejpam-6693	305	15	given	give	VERB
ejpam-6693	305	16	by	by	ADP
ejpam-6693	305	17	a	a	DET
ejpam-6693	305	18	=	=	SYM
ejpam-6693	305	19	∞∑	∞∑	PROPN
ejpam-6693	305	20	j=0	j=0	PROPN
ejpam-6693	305	21	aj	aj	PROPN
ejpam-6693	305	22	,	,	PUNCT
ejpam-6693	305	23	an	an	DET
ejpam-6693	305	24	=	=	PROPN
ejpam-6693	305	25	n∑	n∑	NOUN
ejpam-6693	305	26	j=0	j=0	PROPN
ejpam-6693	305	27	s(j).i(n−	s(j).i(n−	PROPN
ejpam-6693	305	28	j	j	PROPN
ejpam-6693	305	29	)	)	PUNCT
ejpam-6693	305	30	and	and	CCONJ
ejpam-6693	305	31	s	s	NOUN
ejpam-6693	305	32	=	=	SYM
ejpam-6693	305	33	∞∑	∞∑	PROPN
ejpam-6693	305	34	j=0	j=0	PROPN
ejpam-6693	305	35	sj	sj	INTJ
ejpam-6693	305	36	,	,	PUNCT
ejpam-6693	305	37	i	i	PRON
ejpam-6693	305	38	=	=	PUNCT
ejpam-6693	305	39	∞∑	∞∑	NUM
ejpam-6693	305	40	j=0	j=0	PRON
ejpam-6693	305	41	ij	ij	NOUN
ejpam-6693	305	42	,	,	PUNCT
ejpam-6693	305	43	r	r	NOUN
ejpam-6693	305	44	=	=	SYM
ejpam-6693	305	45	∞∑	∞∑	NUM
ejpam-6693	305	46	j=0	j=0	PROPN
ejpam-6693	305	47	rj	rj	PROPN
ejpam-6693	305	48	the	the	DET
ejpam-6693	305	49	terms	term	NOUN
ejpam-6693	305	50	sj	sj	VERB
ejpam-6693	305	51	,	,	PUNCT
ejpam-6693	305	52	ij	ij	INTJ
ejpam-6693	305	53	,	,	PUNCT
ejpam-6693	305	54	rj	rj	PROPN
ejpam-6693	305	55	are	be	AUX
ejpam-6693	305	56	obtained	obtain	VERB
ejpam-6693	305	57	as	as	ADP
ejpam-6693	305	58	follows	follow	VERB
ejpam-6693	305	59	.	.	PUNCT
ejpam-6693	306	1	l[s0	l[s0	NOUN
ejpam-6693	306	2	]	]	X
ejpam-6693	306	3	=	=	SYM
ejpam-6693	306	4	s(0	s(0	PROPN
ejpam-6693	306	5	)	)	PUNCT
ejpam-6693	306	6	z	z	NOUN
ejpam-6693	307	1	=	=	NOUN
ejpam-6693	307	2	⇒	⇒	NOUN
ejpam-6693	307	3	s0	s0	NOUN
ejpam-6693	307	4	=	=	SYM
ejpam-6693	307	5	s(0	s(0	PROPN
ejpam-6693	307	6	)	)	PUNCT
ejpam-6693	307	7	=	=	NOUN
ejpam-6693	307	8	20	20	NUM
ejpam-6693	307	9	l[i0	l[i0	NOUN
ejpam-6693	307	10	]	]	X
ejpam-6693	307	11	=	=	SYM
ejpam-6693	307	12	i(0	i(0	NOUN
ejpam-6693	307	13	)	)	PUNCT
ejpam-6693	307	14	z	z	NOUN
ejpam-6693	308	1	=	=	NOUN
ejpam-6693	308	2	⇒	⇒	NOUN
ejpam-6693	308	3	s0	s0	NOUN
ejpam-6693	308	4	=	=	SYM
ejpam-6693	308	5	i(0	i(0	PROPN
ejpam-6693	308	6	)	)	PUNCT
ejpam-6693	309	1	=	=	SYM
ejpam-6693	309	2	15	15	NUM
ejpam-6693	309	3	l[r0	l[r0	ADJ
ejpam-6693	309	4	]	]	X
ejpam-6693	309	5	=	=	SYM
ejpam-6693	309	6	r(0	r(0	PROPN
ejpam-6693	309	7	)	)	PUNCT
ejpam-6693	309	8	z	z	NOUN
ejpam-6693	310	1	=	=	NOUN
ejpam-6693	310	2	⇒	⇒	NOUN
ejpam-6693	310	3	r0	r0	NOUN
ejpam-6693	310	4	=	=	SYM
ejpam-6693	310	5	r(0	r(0	PROPN
ejpam-6693	310	6	)	)	PUNCT
ejpam-6693	311	1	=	=	PROPN
ejpam-6693	312	1	10	10	NUM
ejpam-6693	312	2	l[s1	l[s1	NOUN
ejpam-6693	312	3	]	]	X
ejpam-6693	312	4	=	=	SYM
ejpam-6693	312	5	−λl[s0i0	−λl[s0i0	NOUN
ejpam-6693	312	6	]	]	X
ejpam-6693	312	7	zγ	zγ	PROPN
ejpam-6693	312	8	−	−	PROPN
ejpam-6693	313	1	d	d	X
ejpam-6693	313	2	l[s0	l[s0	NOUN
ejpam-6693	313	3	]	]	X
ejpam-6693	313	4	zγ	zγ	PROPN
ejpam-6693	314	1	=	=	AUX
ejpam-6693	314	2	⇒	⇒	NOUN
ejpam-6693	314	3	s1	s1	NOUN
ejpam-6693	314	4	=	=	PUNCT
ejpam-6693	315	1	−2.3	−2.3	NUM
ejpam-6693	315	2	tγ	tγ	NOUN
ejpam-6693	315	3	γ(γ	γ(γ	PROPN
ejpam-6693	315	4	+	+	CCONJ
ejpam-6693	315	5	1	1	X
ejpam-6693	315	6	)	)	PUNCT
ejpam-6693	315	7	l[i1	l[i1	NOUN
ejpam-6693	315	8	]	]	X
ejpam-6693	315	9	=	=	PUNCT
ejpam-6693	315	10	λ	λ	X
ejpam-6693	315	11	l[s0i0	l[s0i0	PROPN
ejpam-6693	315	12	]	]	X
ejpam-6693	315	13	zγ	zγ	PROPN
ejpam-6693	315	14	−	−	PROPN
ejpam-6693	315	15	ε	ε	PROPN
ejpam-6693	315	16	l[i0	l[i0	PROPN
ejpam-6693	315	17	]	]	PUNCT
ejpam-6693	315	18	zγ	zγ	PROPN
ejpam-6693	316	1	−	−	PROPN
ejpam-6693	316	2	d	d	X
ejpam-6693	316	3	l[r0	l[r0	ADV
ejpam-6693	316	4	]	]	PUNCT
ejpam-6693	316	5	zγ	zγ	PROPN
ejpam-6693	316	6	=	=	AUX
ejpam-6693	316	7	⇒	⇒	PROPN
ejpam-6693	316	8	i1	i1	NOUN
ejpam-6693	317	1	=	=	PUNCT
ejpam-6693	318	1	−2.2	−2.2	NOUN
ejpam-6693	318	2	tγ	tγ	PROPN
ejpam-6693	319	1	γ(γ	γ(γ	PROPN
ejpam-6693	319	2	+	+	CCONJ
ejpam-6693	319	3	1	1	X
ejpam-6693	319	4	)	)	PUNCT
ejpam-6693	319	5	l[r1	l[r1	X
ejpam-6693	319	6	]	]	X
ejpam-6693	319	7	=	=	PUNCT
ejpam-6693	319	8	ε	ε	PROPN
ejpam-6693	319	9	l[i0	l[i0	NOUN
ejpam-6693	319	10	]	]	PUNCT
ejpam-6693	319	11	zγ	zγ	PROPN
ejpam-6693	319	12	−	−	PROPN
ejpam-6693	320	1	d	d	X
ejpam-6693	320	2	l[r0	l[r0	ADV
ejpam-6693	320	3	]	]	PUNCT
ejpam-6693	320	4	zγ	zγ	PROPN
ejpam-6693	321	1	=	=	AUX
ejpam-6693	321	2	⇒	⇒	PROPN
ejpam-6693	321	3	r1	r1	NOUN
ejpam-6693	321	4	=	=	SYM
ejpam-6693	321	5	0.5	0.5	NUM
ejpam-6693	321	6	tγ	tγ	PROPN
ejpam-6693	321	7	γ(γ	γ(γ	PROPN
ejpam-6693	321	8	+	+	CCONJ
ejpam-6693	321	9	1	1	X
ejpam-6693	321	10	)	)	PUNCT
ejpam-6693	321	11	l[s2	l[s2	NOUN
ejpam-6693	321	12	]	]	X
ejpam-6693	321	13	=	=	PUNCT
ejpam-6693	322	1	−λl[a1	−λl[a1	X
ejpam-6693	322	2	]	]	X
ejpam-6693	322	3	zγ	zγ	PROPN
ejpam-6693	322	4	−	−	PROPN
ejpam-6693	323	1	d	d	X
ejpam-6693	323	2	l[s1	l[s1	X
ejpam-6693	323	3	]	]	X
ejpam-6693	323	4	zγ	zγ	PROPN
ejpam-6693	323	5	=	=	AUX
ejpam-6693	323	6	⇒	⇒	PROPN
ejpam-6693	323	7	s2	s2	NOUN
ejpam-6693	323	8	=	=	PUNCT
ejpam-6693	323	9	0.3085	0.3085	NUM
ejpam-6693	323	10	t2γ	t2γ	NOUN
ejpam-6693	323	11	γ(2γ	γ(2γ	NOUN
ejpam-6693	323	12	+	+	NOUN
ejpam-6693	323	13	1	1	X
ejpam-6693	323	14	)	)	PUNCT
ejpam-6693	323	15	l[i2	l[i2	VERB
ejpam-6693	323	16	]	]	PUNCT
ejpam-6693	324	1	=	=	PUNCT
ejpam-6693	324	2	λ	λ	SYM
ejpam-6693	324	3	l[a1	l[a1	NOUN
ejpam-6693	324	4	]	]	X
ejpam-6693	324	5	zγ	zγ	PROPN
ejpam-6693	324	6	−	−	PROPN
ejpam-6693	324	7	ε	ε	PROPN
ejpam-6693	324	8	l[i1	l[i1	PROPN
ejpam-6693	324	9	]	]	PUNCT
ejpam-6693	324	10	zγ	zγ	PROPN
ejpam-6693	325	1	−	−	PROPN
ejpam-6693	325	2	d	d	X
ejpam-6693	325	3	l[r1	l[r1	X
ejpam-6693	325	4	]	]	X
ejpam-6693	325	5	zγ	zγ	PROPN
ejpam-6693	325	6	=	=	AUX
ejpam-6693	325	7	⇒	⇒	PROPN
ejpam-6693	325	8	i2	i2	PROPN
ejpam-6693	325	9	=	=	PROPN
ejpam-6693	325	10	0.0915	0.0915	NUM
ejpam-6693	325	11	t2γ	t2γ	NOUN
ejpam-6693	325	12	γ(2γ	γ(2γ	NOUN
ejpam-6693	325	13	+	+	NOUN
ejpam-6693	325	14	1	1	X
ejpam-6693	325	15	)	)	PUNCT
ejpam-6693	325	16	l[r2	l[r2	NOUN
ejpam-6693	325	17	]	]	X
ejpam-6693	325	18	=	=	PUNCT
ejpam-6693	325	19	ε	ε	PROPN
ejpam-6693	325	20	l[i1	l[i1	PROPN
ejpam-6693	325	21	]	]	PUNCT
ejpam-6693	325	22	zγ	zγ	PROPN
ejpam-6693	325	23	−	−	PROPN
ejpam-6693	326	1	d	d	X
ejpam-6693	326	2	l[r1	l[r1	X
ejpam-6693	326	3	]	]	X
ejpam-6693	326	4	zγ	zγ	PROPN
ejpam-6693	326	5	=	=	AUX
ejpam-6693	326	6	⇒	⇒	VERB
ejpam-6693	326	7	r2	r2	PROPN
ejpam-6693	326	8	=	=	PUNCT
ejpam-6693	326	9	−0.27	−0.27	PROPN
ejpam-6693	326	10	t2γ	t2γ	SYM
ejpam-6693	326	11	γ(2γ	γ(2γ	NOUN
ejpam-6693	326	12	+	+	NOUN
ejpam-6693	326	13	1	1	X
ejpam-6693	326	14	)	)	PUNCT
ejpam-6693	326	15	l[s3	l[s3	NOUN
ejpam-6693	326	16	]	]	X
ejpam-6693	326	17	=	=	PUNCT
ejpam-6693	326	18	−λl[a2	−λl[a2	ADP
ejpam-6693	326	19	]	]	X
ejpam-6693	326	20	zγ	zγ	NOUN
ejpam-6693	326	21	−	−	PROPN
ejpam-6693	327	1	d	d	SYM
ejpam-6693	327	2	l[s2	l[s2	PROPN
ejpam-6693	327	3	]	]	PUNCT
ejpam-6693	327	4	zγ	zγ	PROPN
ejpam-6693	327	5	=	=	AUX
ejpam-6693	327	6	⇒	⇒	PROPN
ejpam-6693	327	7	s3	s3	NOUN
ejpam-6693	327	8	=	=	PROPN
ejpam-6693	327	9	−0.0193325	−0.0193325	PROPN
ejpam-6693	327	10	t3γ	t3γ	X
ejpam-6693	327	11	γ(3γ	γ(3γ	ADP
ejpam-6693	327	12	+	+	SYM
ejpam-6693	327	13	1	1	X
ejpam-6693	327	14	)	)	PUNCT
ejpam-6693	327	15	r.	r.	PROPN
ejpam-6693	327	16	m.	m.	PROPN
ejpam-6693	327	17	kamble	kamble	PROPN
ejpam-6693	327	18	,	,	PUNCT
ejpam-6693	327	19	p.	p.	PROPN
ejpam-6693	327	20	r.	r.	PROPN
ejpam-6693	327	21	kulkarni	kulkarni	PROPN
ejpam-6693	327	22	/	/	SYM
ejpam-6693	327	23	eur	eur	PROPN
ejpam-6693	327	24	.	.	PUNCT
ejpam-6693	328	1	j.	j.	PROPN
ejpam-6693	328	2	pure	pure	PROPN
ejpam-6693	328	3	appl	appl	PROPN
ejpam-6693	328	4	.	.	PROPN
ejpam-6693	328	5	math	math	PROPN
ejpam-6693	328	6	,	,	PUNCT
ejpam-6693	328	7	18	18	NUM
ejpam-6693	328	8	(	(	PUNCT
ejpam-6693	328	9	4	4	NUM
ejpam-6693	328	10	)	)	PUNCT
ejpam-6693	328	11	(	(	PUNCT
ejpam-6693	328	12	2025	2025	NUM
ejpam-6693	328	13	)	)	PUNCT
ejpam-6693	328	14	,	,	PUNCT
ejpam-6693	328	15	6693	6693	NUM
ejpam-6693	328	16	12	12	NUM
ejpam-6693	328	17	of	of	ADP
ejpam-6693	328	18	40	40	NUM
ejpam-6693	328	19	l[i3	l[i3	NOUN
ejpam-6693	328	20	]	]	PUNCT
ejpam-6693	328	21	=	=	SYM
ejpam-6693	328	22	λ	λ	SYM
ejpam-6693	328	23	l[a2	l[a2	NOUN
ejpam-6693	328	24	]	]	X
ejpam-6693	328	25	zγ	zγ	PROPN
ejpam-6693	328	26	−	−	PROPN
ejpam-6693	328	27	ε	ε	PROPN
ejpam-6693	328	28	l[i2	l[i2	VERB
ejpam-6693	328	29	]	]	PUNCT
ejpam-6693	328	30	zγ	zγ	PROPN
ejpam-6693	328	31	−	−	PROPN
ejpam-6693	328	32	d	d	X
ejpam-6693	328	33	l[r2	l[r2	PROPN
ejpam-6693	328	34	]	]	X
ejpam-6693	328	35	zγ	zγ	PROPN
ejpam-6693	329	1	=	=	AUX
ejpam-6693	329	2	⇒	⇒	NOUN
ejpam-6693	329	3	i3	i3	NOUN
ejpam-6693	329	4	=	=	SYM
ejpam-6693	329	5	0.00293675	0.00293675	NUM
ejpam-6693	329	6	t3γ	t3γ	PUNCT
ejpam-6693	329	7	γ(3γ	γ(3γ	ADV
ejpam-6693	329	8	+	+	ADJ
ejpam-6693	329	9	1	1	X
ejpam-6693	329	10	)	)	PUNCT
ejpam-6693	329	11	l[r3	l[r3	NOUN
ejpam-6693	329	12	]	]	X
ejpam-6693	329	13	=	=	PUNCT
ejpam-6693	329	14	ε	ε	PROPN
ejpam-6693	329	15	l[i2	l[i2	VERB
ejpam-6693	329	16	]	]	PUNCT
ejpam-6693	329	17	zγ	zγ	PROPN
ejpam-6693	329	18	−	−	PROPN
ejpam-6693	329	19	d	d	X
ejpam-6693	329	20	l[r2	l[r2	PROPN
ejpam-6693	329	21	]	]	X
ejpam-6693	329	22	zγ	zγ	PROPN
ejpam-6693	330	1	=	=	AUX
ejpam-6693	330	2	⇒	⇒	X
ejpam-6693	330	3	r3	r3	NOUN
ejpam-6693	330	4	=	=	PUNCT
ejpam-6693	330	5	0.03615	0.03615	NUM
ejpam-6693	330	6	t3γ	t3γ	PROPN
ejpam-6693	330	7	γ(3γ	γ(3γ	ADV
ejpam-6693	330	8	+	+	SYM
ejpam-6693	330	9	1	1	X
ejpam-6693	330	10	)	)	PUNCT
ejpam-6693	330	11	l[s4	l[s4	NOUN
ejpam-6693	330	12	]	]	X
ejpam-6693	330	13	=	=	SYM
ejpam-6693	330	14	−λl[a3	−λl[a3	X
ejpam-6693	330	15	]	]	X
ejpam-6693	330	16	zγ	zγ	PROPN
ejpam-6693	331	1	−	−	PROPN
ejpam-6693	331	2	d	d	AUX
ejpam-6693	331	3	l[s3	l[s3	X
ejpam-6693	331	4	]	]	X
ejpam-6693	331	5	zγ	zγ	PROPN
ejpam-6693	332	1	=	=	AUX
ejpam-6693	332	2	⇒	⇒	PROPN
ejpam-6693	332	3	s4	s4	PROPN
ejpam-6693	332	4	=	=	SYM
ejpam-6693	332	5	0.0025250375	0.0025250375	NUM
ejpam-6693	332	6	t4γ	t4γ	NOUN
ejpam-6693	332	7	γ(4γ	γ(4γ	X
ejpam-6693	332	8	+	+	CCONJ
ejpam-6693	332	9	1	1	NUM
ejpam-6693	332	10	)	)	PUNCT
ejpam-6693	332	11	l[i4	l[i4	NOUN
ejpam-6693	332	12	]	]	PUNCT
ejpam-6693	333	1	=	=	PUNCT
ejpam-6693	333	2	λ	λ	SYM
ejpam-6693	333	3	l[a3	l[a3	NOUN
ejpam-6693	333	4	]	]	X
ejpam-6693	333	5	zγ	zγ	PROPN
ejpam-6693	333	6	−	−	PROPN
ejpam-6693	333	7	ε	ε	PROPN
ejpam-6693	333	8	l[i3	l[i3	PROPN
ejpam-6693	333	9	]	]	PUNCT
ejpam-6693	333	10	zγ	zγ	PROPN
ejpam-6693	333	11	−	−	PROPN
ejpam-6693	334	1	d	d	X
ejpam-6693	334	2	l[r3	l[r3	NOUN
ejpam-6693	334	3	]	]	X
ejpam-6693	334	4	zγ	zγ	PROPN
ejpam-6693	334	5	=	=	AUX
ejpam-6693	334	6	⇒	⇒	PROPN
ejpam-6693	334	7	i4	i4	PROPN
ejpam-6693	334	8	=	=	SYM
ejpam-6693	334	9	−0.0045004625	−0.0045004625	PROPN
ejpam-6693	334	10	t4γ	t4γ	X
ejpam-6693	334	11	γ(4γ	γ(4γ	PUNCT
ejpam-6693	335	1	+	+	CCONJ
ejpam-6693	335	2	1	1	X
ejpam-6693	335	3	)	)	PUNCT
ejpam-6693	335	4	l[r4	l[r4	NOUN
ejpam-6693	335	5	]	]	X
ejpam-6693	335	6	=	=	PUNCT
ejpam-6693	335	7	ε	ε	PROPN
ejpam-6693	335	8	l[i3	l[i3	PROPN
ejpam-6693	335	9	]	]	X
ejpam-6693	335	10	zγ	zγ	PROPN
ejpam-6693	335	11	−	−	PROPN
ejpam-6693	336	1	d	d	X
ejpam-6693	336	2	l[r3	l[r3	NOUN
ejpam-6693	336	3	]	]	X
ejpam-6693	336	4	zγ	zγ	PROPN
ejpam-6693	336	5	=	=	AUX
ejpam-6693	336	6	⇒	⇒	VERB
ejpam-6693	336	7	r4	r4	NOUN
ejpam-6693	336	8	=	=	PUNCT
ejpam-6693	336	9	−0.0033321325	−0.0033321325	NOUN
ejpam-6693	336	10	t4γ	t4γ	PROPN
ejpam-6693	336	11	γ(4γ	γ(4γ	PUNCT
ejpam-6693	336	12	+	+	CCONJ
ejpam-6693	336	13	1	1	X
ejpam-6693	336	14	)	)	PUNCT
ejpam-6693	336	15	it	it	PRON
ejpam-6693	336	16	can	can	AUX
ejpam-6693	336	17	be	be	AUX
ejpam-6693	336	18	verified	verify	VERB
ejpam-6693	336	19	that	that	SCONJ
ejpam-6693	336	20	for	for	ADP
ejpam-6693	336	21	j	j	PROPN
ejpam-6693	336	22	≥	≥	PROPN
ejpam-6693	336	23	1	1	NUM
ejpam-6693	336	24	,	,	PUNCT
ejpam-6693	336	25	we	we	PRON
ejpam-6693	336	26	have	have	VERB
ejpam-6693	336	27	l[sj	l[sj	X
ejpam-6693	336	28	]	]	X
ejpam-6693	336	29	=	=	PUNCT
ejpam-6693	337	1	−λl[aj−1	−λl[aj−1	NOUN
ejpam-6693	337	2	]	]	X
ejpam-6693	337	3	zγ	zγ	PROPN
ejpam-6693	337	4	−	−	PROPN
ejpam-6693	337	5	d	d	SYM
ejpam-6693	337	6	l[sj−1	l[sj−1	PROPN
ejpam-6693	337	7	]	]	PUNCT
ejpam-6693	337	8	zγ	zγ	X
ejpam-6693	337	9	l[ij	l[ij	ADV
ejpam-6693	337	10	]	]	PUNCT
ejpam-6693	337	11	=	=	PUNCT
ejpam-6693	337	12	λ	λ	SYM
ejpam-6693	337	13	l[aj−1	l[aj−1	PROPN
ejpam-6693	337	14	]	]	PUNCT
ejpam-6693	337	15	zγ	zγ	PROPN
ejpam-6693	337	16	−	−	PROPN
ejpam-6693	337	17	ε	ε	PROPN
ejpam-6693	337	18	l[ij−1	l[ij−1	PROPN
ejpam-6693	337	19	]	]	PUNCT
ejpam-6693	337	20	zγ	zγ	PROPN
ejpam-6693	337	21	−	−	PROPN
ejpam-6693	337	22	d	d	PROPN
ejpam-6693	337	23	l[rj−1	l[rj−1	PROPN
ejpam-6693	337	24	]	]	PUNCT
ejpam-6693	337	25	zγ	zγ	PROPN
ejpam-6693	337	26	l[rj	l[rj	NOUN
ejpam-6693	337	27	]	]	X
ejpam-6693	337	28	=	=	PUNCT
ejpam-6693	337	29	ε	ε	PROPN
ejpam-6693	337	30	l[ij−1	l[ij−1	PROPN
ejpam-6693	337	31	]	]	PUNCT
ejpam-6693	337	32	zγ	zγ	PROPN
ejpam-6693	337	33	−	−	PROPN
ejpam-6693	337	34	d	d	PROPN
ejpam-6693	337	35	l[rj−1	l[rj−1	PROPN
ejpam-6693	337	36	]	]	PUNCT
ejpam-6693	337	37	zγ	zγ	ADP
ejpam-6693	337	38	the	the	DET
ejpam-6693	337	39	solution	solution	NOUN
ejpam-6693	337	40	of	of	ADP
ejpam-6693	337	41	the	the	DET
ejpam-6693	337	42	sir	sir	NOUN
ejpam-6693	337	43	model	model	NOUN
ejpam-6693	337	44	of	of	ADP
ejpam-6693	337	45	computer	computer	NOUN
ejpam-6693	337	46	viruses	virus	NOUN
ejpam-6693	337	47	by	by	ADP
ejpam-6693	337	48	laplace	laplace	NOUN
ejpam-6693	337	49	adomian	adomian	NOUN
ejpam-6693	337	50	decomposition	decomposition	NOUN
ejpam-6693	337	51	method	method	NOUN
ejpam-6693	337	52	up	up	ADP
ejpam-6693	337	53	to	to	PART
ejpam-6693	337	54	five	five	NUM
ejpam-6693	337	55	iteration	iteration	NOUN
ejpam-6693	337	56	is	be	AUX
ejpam-6693	337	57	given	give	VERB
ejpam-6693	337	58	by	by	ADP
ejpam-6693	337	59	s(t	s(t	PROPN
ejpam-6693	337	60	)	)	PUNCT
ejpam-6693	337	61	=	=	PUNCT
ejpam-6693	337	62	4∑	4∑	NOUN
ejpam-6693	337	63	j=0	j=0	VERB
ejpam-6693	337	64	sj	sj	X
ejpam-6693	337	65	=	=	NOUN
ejpam-6693	337	66	20−	20−	NUM
ejpam-6693	337	67	2.3	2.3	NUM
ejpam-6693	337	68	tγ	tγ	NOUN
ejpam-6693	337	69	γ(γ	γ(γ	PROPN
ejpam-6693	337	70	+	+	CCONJ
ejpam-6693	337	71	1	1	X
ejpam-6693	337	72	)	)	PUNCT
ejpam-6693	337	73	+	+	CCONJ
ejpam-6693	337	74	0.3085	0.3085	NUM
ejpam-6693	337	75	t2γ	t2γ	NOUN
ejpam-6693	337	76	γ(2γ	γ(2γ	NOUN
ejpam-6693	337	77	+	+	NOUN
ejpam-6693	337	78	1	1	X
ejpam-6693	337	79	)	)	PUNCT
ejpam-6693	337	80	−	−	PROPN
ejpam-6693	337	81	0.0193325	0.0193325	PROPN
ejpam-6693	337	82	t3γ	t3γ	X
ejpam-6693	337	83	γ(3γ	γ(3γ	ADP
ejpam-6693	337	84	+	+	NOUN
ejpam-6693	337	85	1	1	X
ejpam-6693	337	86	)	)	PUNCT
ejpam-6693	337	87	+	+	NOUN
ejpam-6693	337	88	0.0025250375	0.0025250375	NUM
ejpam-6693	337	89	t4γ	t4γ	NOUN
ejpam-6693	337	90	γ(4γ	γ(4γ	X
ejpam-6693	337	91	+	+	CCONJ
ejpam-6693	337	92	1	1	X
ejpam-6693	337	93	)	)	PUNCT
ejpam-6693	337	94	i(t	i(t	NOUN
ejpam-6693	337	95	)	)	PUNCT
ejpam-6693	337	96	=	=	PUNCT
ejpam-6693	337	97	4∑	4∑	NUM
ejpam-6693	337	98	j=0	j=0	PROPN
ejpam-6693	337	99	ij	ij	NOUN
ejpam-6693	337	100	=	=	PROPN
ejpam-6693	337	101	15−	15−	PROPN
ejpam-6693	337	102	2.2	2.2	NUM
ejpam-6693	337	103	tγ	tγ	NOUN
ejpam-6693	337	104	γ(γ	γ(γ	PROPN
ejpam-6693	337	105	+	+	CCONJ
ejpam-6693	337	106	1	1	X
ejpam-6693	337	107	)	)	PUNCT
ejpam-6693	337	108	+	+	CCONJ
ejpam-6693	337	109	0.0915	0.0915	NUM
ejpam-6693	337	110	t2γ	t2γ	NOUN
ejpam-6693	337	111	γ(2γ	γ(2γ	NOUN
ejpam-6693	337	112	+	+	NOUN
ejpam-6693	337	113	1	1	X
ejpam-6693	337	114	)	)	PUNCT
ejpam-6693	337	115	+	+	NUM
ejpam-6693	337	116	0.00293675	0.00293675	NUM
ejpam-6693	337	117	t3γ	t3γ	PUNCT
ejpam-6693	337	118	γ(3γ	γ(3γ	ADV
ejpam-6693	337	119	+	+	PUNCT
ejpam-6693	337	120	1	1	X
ejpam-6693	337	121	)	)	PUNCT
ejpam-6693	337	122	−	−	PROPN
ejpam-6693	337	123	0.0045004625	0.0045004625	NUM
ejpam-6693	337	124	t4γ	t4γ	NOUN
ejpam-6693	337	125	γ(4γ	γ(4γ	PUNCT
ejpam-6693	337	126	+	+	CCONJ
ejpam-6693	337	127	1	1	NUM
ejpam-6693	337	128	)	)	PUNCT
ejpam-6693	337	129	(	(	PUNCT
ejpam-6693	337	130	18	18	NUM
ejpam-6693	337	131	)	)	PUNCT
ejpam-6693	337	132	r(t	r(t	NOUN
ejpam-6693	337	133	)	)	PUNCT
ejpam-6693	337	134	=	=	PUNCT
ejpam-6693	337	135	4∑	4∑	NUM
ejpam-6693	337	136	j=0	j=0	PROPN
ejpam-6693	337	137	rj	rj	PROPN
ejpam-6693	337	138	=	=	PROPN
ejpam-6693	337	139	10	10	NUM
ejpam-6693	337	140	+	+	NUM
ejpam-6693	337	141	0.5	0.5	NUM
ejpam-6693	337	142	tγ	tγ	PROPN
ejpam-6693	337	143	γ(γ	γ(γ	PROPN
ejpam-6693	337	144	+	+	CCONJ
ejpam-6693	337	145	1	1	X
ejpam-6693	337	146	)	)	PUNCT
ejpam-6693	337	147	−	−	PROPN
ejpam-6693	337	148	0.27	0.27	NUM
ejpam-6693	337	149	t2γ	t2γ	NOUN
ejpam-6693	337	150	γ(2γ	γ(2γ	NOUN
ejpam-6693	337	151	+	+	NOUN
ejpam-6693	337	152	1	1	X
ejpam-6693	337	153	)	)	PUNCT
ejpam-6693	337	154	+	+	CCONJ
ejpam-6693	337	155	0.03615	0.03615	NUM
ejpam-6693	337	156	t3γ	t3γ	NOUN
ejpam-6693	337	157	γ(3γ	γ(3γ	ADV
ejpam-6693	337	158	+	+	NOUN
ejpam-6693	337	159	1	1	X
ejpam-6693	337	160	)	)	PUNCT
ejpam-6693	337	161	−	−	PROPN
ejpam-6693	337	162	0.0033321325	0.0033321325	PROPN
ejpam-6693	337	163	t4γ	t4γ	NOUN
ejpam-6693	337	164	γ(4γ	γ(4γ	X
ejpam-6693	338	1	+	+	ADV
ejpam-6693	338	2	1	1	NUM
ejpam-6693	338	3	)	)	PUNCT
ejpam-6693	338	4	as	as	ADP
ejpam-6693	338	5	in	in	ADP
ejpam-6693	338	6	the	the	DET
ejpam-6693	338	7	earlier	early	ADJ
ejpam-6693	338	8	case	case	NOUN
ejpam-6693	338	9	,	,	PUNCT
ejpam-6693	338	10	the	the	DET
ejpam-6693	338	11	solutions	solution	NOUN
ejpam-6693	338	12	for	for	ADP
ejpam-6693	338	13	different	different	ADJ
ejpam-6693	338	14	values	value	NOUN
ejpam-6693	338	15	of	of	ADP
ejpam-6693	338	16	γ	γ	NOUN
ejpam-6693	338	17	are	be	AUX
ejpam-6693	338	18	obtained	obtain	VERB
ejpam-6693	338	19	as	as	ADP
ejpam-6693	338	20	follows	follow	NOUN
ejpam-6693	338	21	.	.	PUNCT
ejpam-6693	339	1	casei	casei	ADJ
ejpam-6693	339	2	:	:	PUNCT
ejpam-6693	339	3	γ	γ	PROPN
ejpam-6693	339	4	=	=	SYM
ejpam-6693	339	5	1/10	1/10	NUM
ejpam-6693	339	6	s(t	s(t	PROPN
ejpam-6693	339	7	)	)	PUNCT
ejpam-6693	340	1	=	=	NOUN
ejpam-6693	340	2	20−	20−	NUM
ejpam-6693	340	3	2.4176145292t1/10	2.4176145292t1/10	NUM
ejpam-6693	341	1	+	+	NUM
ejpam-6693	341	2	0.3359947896t2/10	0.3359947896t2/10	ADJ
ejpam-6693	341	3	−	−	NOUN
ejpam-6693	341	4	0.021541986t3/10	0.021541986t3/10	NOUN
ejpam-6693	341	5	+	+	X
ejpam-6693	341	6	0.0028458694t4/10	0.0028458694t4/10	ADJ
ejpam-6693	341	7	r.	r.	PROPN
ejpam-6693	341	8	m.	m.	PROPN
ejpam-6693	341	9	kamble	kamble	PROPN
ejpam-6693	341	10	,	,	PUNCT
ejpam-6693	341	11	p.	p.	PROPN
ejpam-6693	341	12	r.	r.	PROPN
ejpam-6693	341	13	kulkarni	kulkarni	PROPN
ejpam-6693	341	14	/	/	SYM
ejpam-6693	341	15	eur	eur	PROPN
ejpam-6693	341	16	.	.	PUNCT
ejpam-6693	342	1	j.	j.	PROPN
ejpam-6693	342	2	pure	pure	PROPN
ejpam-6693	342	3	appl	appl	PROPN
ejpam-6693	342	4	.	.	PROPN
ejpam-6693	342	5	math	math	PROPN
ejpam-6693	342	6	,	,	PUNCT
ejpam-6693	342	7	18	18	NUM
ejpam-6693	342	8	(	(	PUNCT
ejpam-6693	342	9	4	4	NUM
ejpam-6693	342	10	)	)	PUNCT
ejpam-6693	342	11	(	(	PUNCT
ejpam-6693	342	12	2025	2025	NUM
ejpam-6693	342	13	)	)	PUNCT
ejpam-6693	342	14	,	,	PUNCT
ejpam-6693	342	15	6693	6693	NUM
ejpam-6693	342	16	13	13	NUM
ejpam-6693	342	17	of	of	ADP
ejpam-6693	342	18	40	40	NUM
ejpam-6693	342	19	i(t	i(t	NOUN
ejpam-6693	342	20	)	)	PUNCT
ejpam-6693	343	1	=	=	NUM
ejpam-6693	343	2	15−	15−	NUM
ejpam-6693	343	3	2.312500854t1/10	2.312500854t1/10	NUM
ejpam-6693	343	4	+	+	X
ejpam-6693	343	5	0.0996548566t2/10	0.0996548566t2/10	NUM
ejpam-6693	343	6	+	+	NUM
ejpam-6693	343	7	0.00322722506t3/10	0.00322722506t3/10	NUM
ejpam-6693	343	8	−	−	NOUN
ejpam-6693	343	9	0.0050722925t4/10	0.0050722925t4/10	ADJ
ejpam-6693	343	10	(	(	PUNCT
ejpam-6693	343	11	19	19	NUM
ejpam-6693	343	12	)	)	PUNCT
ejpam-6693	343	13	r(t	r(t	NOUN
ejpam-6693	343	14	)	)	PUNCT
ejpam-6693	344	1	=	=	SYM
ejpam-6693	344	2	10	10	NUM
ejpam-6693	344	3	+	+	NUM
ejpam-6693	344	4	0.5255683759t1/10	0.5255683759t1/10	PRON
ejpam-6693	344	5	−	−	PROPN
ejpam-6693	344	6	0.2940635112t2/10	0.2940635112t2/10	NOUN
ejpam-6693	344	7	+	+	CCONJ
ejpam-6693	344	8	0.0402798531t3/10	0.0402798531t3/10	ADJ
ejpam-6693	344	9	−	−	NOUN
ejpam-6693	344	10	0.0037555141t4/10	0.0037555141t4/10	DET
ejpam-6693	344	11	case	case	NOUN
ejpam-6693	344	12	ii	ii	NOUN
ejpam-6693	344	13	:	:	PUNCT
ejpam-6693	344	14	γ	γ	PROPN
ejpam-6693	344	15	=	=	PROPN
ejpam-6693	344	16	1/2	1/2	NUM
ejpam-6693	344	17	s(t	s(t	PROPN
ejpam-6693	344	18	)	)	PUNCT
ejpam-6693	344	19	=	=	PUNCT
ejpam-6693	345	1	20−	20−	NUM
ejpam-6693	345	2	2.595271866t1/2	2.595271866t1/2	NUM
ejpam-6693	345	3	+	+	CCONJ
ejpam-6693	345	4	0.3084t−	0.3084t−	VERB
ejpam-6693	345	5	0.0145429311t3/2	0.0145429311t3/2	NOUN
ejpam-6693	345	6	+	+	CCONJ
ejpam-6693	345	7	0.0012625188t2	0.0012625188t2	NUM
ejpam-6693	345	8	i(t	i(t	NOUN
ejpam-6693	345	9	)	)	PUNCT
ejpam-6693	345	10	=	=	SYM
ejpam-6693	346	1	15−	15−	NUM
ejpam-6693	346	2	2.4824339588t1/2	2.4824339588t1/2	NOUN
ejpam-6693	347	1	+	+	CCONJ
ejpam-6693	348	1	0.0915t+	0.0915t+	NUM
ejpam-6693	348	2	0.002209179t3/2	0.002209179t3/2	NOUN
ejpam-6693	348	3	−	−	X
ejpam-6693	348	4	0.0022502313t2	0.0022502313t2	NUM
ejpam-6693	348	5	(	(	PUNCT
ejpam-6693	348	6	20	20	NUM
ejpam-6693	348	7	)	)	PUNCT
ejpam-6693	348	8	r(t	r(t	NOUN
ejpam-6693	348	9	)	)	PUNCT
ejpam-6693	348	10	=	=	PUNCT
ejpam-6693	349	1	10	10	NUM
ejpam-6693	349	2	+	+	NUM
ejpam-6693	349	3	0.5641895361t1/2	0.5641895361t1/2	NOUN
ejpam-6693	349	4	−	−	PROPN
ejpam-6693	349	5	0.27t+	0.27t+	NOUN
ejpam-6693	349	6	0.0271939459t3/2	0.0271939459t3/2	NOUN
ejpam-6693	349	7	−	−	PROPN
ejpam-6693	349	8	0.0016660663t2	0.0016660663t2	NUM
ejpam-6693	349	9	case	case	NOUN
ejpam-6693	349	10	iii	iii	X
ejpam-6693	349	11	:	:	PUNCT
ejpam-6693	349	12	γ	γ	NOUN
ejpam-6693	349	13	=	=	SYM
ejpam-6693	349	14	1	1	NUM
ejpam-6693	349	15	s(t	s(t	PROPN
ejpam-6693	349	16	)	)	PUNCT
ejpam-6693	349	17	=	=	PUNCT
ejpam-6693	350	1	20−	20−	NUM
ejpam-6693	350	2	2.3t+	2.3t+	VERB
ejpam-6693	350	3	0.15425t2	0.15425t2	NUM
ejpam-6693	350	4	−	−	NOUN
ejpam-6693	350	5	0.0032220833t3	0.0032220833t3	NOUN
ejpam-6693	351	1	+	+	CCONJ
ejpam-6693	351	2	0.0001052099t4	0.0001052099t4	NUM
ejpam-6693	351	3	i(t	i(t	NOUN
ejpam-6693	351	4	)	)	PUNCT
ejpam-6693	351	5	=	=	SYM
ejpam-6693	352	1	15−	15−	NUM
ejpam-6693	352	2	2.2t+	2.2t+	NUM
ejpam-6693	352	3	0.04575t2	0.04575t2	PUNCT
ejpam-6693	353	1	+	+	NUM
ejpam-6693	353	2	0.0004894583t3	0.0004894583t3	NUM
ejpam-6693	353	3	−	−	NOUN
ejpam-6693	353	4	0.0001875193t4	0.0001875193t4	NUM
ejpam-6693	353	5	(	(	PUNCT
ejpam-6693	353	6	21	21	NUM
ejpam-6693	353	7	)	)	PUNCT
ejpam-6693	353	8	r(t	r(t	NOUN
ejpam-6693	353	9	)	)	PUNCT
ejpam-6693	353	10	=	=	PUNCT
ejpam-6693	354	1	10	10	NUM
ejpam-6693	354	2	+	+	CCONJ
ejpam-6693	354	3	0.5t−	0.5t−	AUX
ejpam-6693	354	4	0.135t2	0.135t2	VERB
ejpam-6693	354	5	+	+	CCONJ
ejpam-6693	354	6	0.006025t3	0.006025t3	NUM
ejpam-6693	354	7	−	−	X
ejpam-6693	354	8	0.0001388389t4	0.0001388389t4	NUM
ejpam-6693	354	9	8	8	NUM
ejpam-6693	354	10	.	.	PUNCT
ejpam-6693	355	1	numerical	numerical	ADJ
ejpam-6693	355	2	approximations	approximation	NOUN
ejpam-6693	355	3	and	and	CCONJ
ejpam-6693	355	4	estimate	estimate	NOUN
ejpam-6693	355	5	of	of	ADP
ejpam-6693	355	6	errors	error	NOUN
ejpam-6693	355	7	using	use	VERB
ejpam-6693	355	8	the	the	DET
ejpam-6693	355	9	equations	equation	NOUN
ejpam-6693	355	10	(	(	PUNCT
ejpam-6693	355	11	15	15	NUM
ejpam-6693	355	12	)	)	PUNCT
ejpam-6693	355	13	,	,	PUNCT
ejpam-6693	355	14	(	(	PUNCT
ejpam-6693	355	15	16	16	NUM
ejpam-6693	355	16	)	)	PUNCT
ejpam-6693	355	17	,	,	PUNCT
ejpam-6693	355	18	which	which	PRON
ejpam-6693	355	19	are	be	AUX
ejpam-6693	355	20	obtained	obtain	VERB
ejpam-6693	355	21	using	use	VERB
ejpam-6693	355	22	the	the	DET
ejpam-6693	355	23	fractional	fractional	ADJ
ejpam-6693	355	24	differential	differential	NOUN
ejpam-6693	355	25	transform	transform	NOUN
ejpam-6693	355	26	method	method	NOUN
ejpam-6693	355	27	and	and	CCONJ
ejpam-6693	355	28	the	the	DET
ejpam-6693	355	29	equations	equation	NOUN
ejpam-6693	355	30	(	(	PUNCT
ejpam-6693	355	31	19	19	NUM
ejpam-6693	355	32	)	)	PUNCT
ejpam-6693	355	33	,	,	PUNCT
ejpam-6693	355	34	(	(	PUNCT
ejpam-6693	355	35	20	20	NUM
ejpam-6693	355	36	)	)	PUNCT
ejpam-6693	355	37	,	,	PUNCT
ejpam-6693	355	38	obtained	obtain	VERB
ejpam-6693	355	39	using	use	VERB
ejpam-6693	355	40	the	the	DET
ejpam-6693	355	41	laplace	laplace	NOUN
ejpam-6693	355	42	adomian	adomian	NOUN
ejpam-6693	355	43	decomposition	decomposition	NOUN
ejpam-6693	355	44	method	method	NOUN
ejpam-6693	355	45	,	,	PUNCT
ejpam-6693	355	46	the	the	DET
ejpam-6693	355	47	approximate	approximate	ADJ
ejpam-6693	355	48	values	value	NOUN
ejpam-6693	355	49	of	of	ADP
ejpam-6693	355	50	the	the	DET
ejpam-6693	355	51	solutions	solution	NOUN
ejpam-6693	355	52	s(t	s(t	PROPN
ejpam-6693	355	53	)	)	PUNCT
ejpam-6693	355	54	,	,	PUNCT
ejpam-6693	355	55	i(t	i(t	PROPN
ejpam-6693	355	56	)	)	PUNCT
ejpam-6693	355	57	and	and	CCONJ
ejpam-6693	355	58	r(t	r(t	NOUN
ejpam-6693	355	59	)	)	PUNCT
ejpam-6693	355	60	for	for	ADP
ejpam-6693	355	61	the	the	DET
ejpam-6693	355	62	cases	case	NOUN
ejpam-6693	355	63	γ	γ	X
ejpam-6693	355	64	=	=	SYM
ejpam-6693	355	65	0.1	0.1	NUM
ejpam-6693	355	66	and	and	CCONJ
ejpam-6693	355	67	γ	γ	X
ejpam-6693	355	68	=	=	SYM
ejpam-6693	355	69	0.5	0.5	NUM
ejpam-6693	355	70	are	be	AUX
ejpam-6693	355	71	as	as	SCONJ
ejpam-6693	355	72	shown	show	VERB
ejpam-6693	355	73	by	by	ADP
ejpam-6693	355	74	the	the	DET
ejpam-6693	355	75	tables	table	NOUN
ejpam-6693	355	76	5	5	NUM
ejpam-6693	355	77	to	to	PART
ejpam-6693	355	78	10	10	NUM
ejpam-6693	355	79	.	.	PUNCT
ejpam-6693	356	1	in	in	ADP
ejpam-6693	356	2	these	these	DET
ejpam-6693	356	3	tables	table	NOUN
ejpam-6693	356	4	,	,	PUNCT
ejpam-6693	356	5	the	the	DET
ejpam-6693	356	6	values	value	NOUN
ejpam-6693	356	7	are	be	AUX
ejpam-6693	356	8	obtained	obtain	VERB
ejpam-6693	356	9	by	by	ADP
ejpam-6693	356	10	using	use	VERB
ejpam-6693	356	11	the	the	DET
ejpam-6693	356	12	matlab	matlab	PROPN
ejpam-6693	356	13	software	software	NOUN
ejpam-6693	356	14	correct	correct	VERB
ejpam-6693	356	15	up	up	ADP
ejpam-6693	356	16	to	to	PART
ejpam-6693	356	17	fourteen	fourteen	NUM
ejpam-6693	356	18	digits	digit	NOUN
ejpam-6693	356	19	after	after	ADP
ejpam-6693	356	20	the	the	DET
ejpam-6693	356	21	decimal	decimal	NOUN
ejpam-6693	356	22	.	.	PUNCT
ejpam-6693	357	1	the	the	DET
ejpam-6693	357	2	notations	notation	NOUN
ejpam-6693	357	3	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	357	4	,	,	PUNCT
ejpam-6693	357	5	i(t)fdtm	i(t)fdtm	VERB
ejpam-6693	357	6	and	and	CCONJ
ejpam-6693	357	7	r(t)fdtm	r(t)fdtm	NUM
ejpam-6693	357	8	are	be	AUX
ejpam-6693	357	9	used	use	VERB
ejpam-6693	357	10	to	to	PART
ejpam-6693	357	11	represent	represent	VERB
ejpam-6693	357	12	the	the	DET
ejpam-6693	357	13	solutions	solution	NOUN
ejpam-6693	357	14	s(t	s(t	PROPN
ejpam-6693	357	15	)	)	PUNCT
ejpam-6693	357	16	,	,	PUNCT
ejpam-6693	357	17	i(t	i(t	PROPN
ejpam-6693	357	18	)	)	PUNCT
ejpam-6693	357	19	and	and	CCONJ
ejpam-6693	357	20	r(t	r(t	NOUN
ejpam-6693	357	21	)	)	PUNCT
ejpam-6693	357	22	obtained	obtain	VERB
ejpam-6693	357	23	using	use	VERB
ejpam-6693	357	24	the	the	DET
ejpam-6693	357	25	fractional	fractional	ADJ
ejpam-6693	357	26	differential	differential	NOUN
ejpam-6693	357	27	transform	transform	NOUN
ejpam-6693	357	28	method	method	NOUN
ejpam-6693	357	29	respectively	respectively	ADV
ejpam-6693	357	30	.	.	PUNCT
ejpam-6693	358	1	similarly	similarly	ADV
ejpam-6693	358	2	,	,	PUNCT
ejpam-6693	358	3	the	the	DET
ejpam-6693	358	4	notations	notation	NOUN
ejpam-6693	358	5	s(t)ladm	s(t)ladm	VERB
ejpam-6693	358	6	,	,	PUNCT
ejpam-6693	358	7	i(t)ladm	i(t)ladm	ADJ
ejpam-6693	358	8	and	and	CCONJ
ejpam-6693	358	9	r(t)ladm	r(t)ladm	NOUN
ejpam-6693	358	10	are	be	AUX
ejpam-6693	358	11	used	use	VERB
ejpam-6693	358	12	to	to	PART
ejpam-6693	358	13	represent	represent	VERB
ejpam-6693	358	14	the	the	DET
ejpam-6693	358	15	solutions	solution	NOUN
ejpam-6693	358	16	s(t	s(t	PROPN
ejpam-6693	358	17	)	)	PUNCT
ejpam-6693	358	18	,	,	PUNCT
ejpam-6693	358	19	i(t	i(t	PROPN
ejpam-6693	358	20	)	)	PUNCT
ejpam-6693	358	21	and	and	CCONJ
ejpam-6693	358	22	r(t	r(t	NOUN
ejpam-6693	358	23	)	)	PUNCT
ejpam-6693	358	24	obtained	obtain	VERB
ejpam-6693	358	25	using	use	VERB
ejpam-6693	358	26	the	the	DET
ejpam-6693	358	27	laplace	laplace	NOUN
ejpam-6693	358	28	adomian	adomian	NOUN
ejpam-6693	358	29	decomposition	decomposition	NOUN
ejpam-6693	358	30	method	method	NOUN
ejpam-6693	358	31	respectively	respectively	ADV
ejpam-6693	358	32	.	.	PUNCT
ejpam-6693	359	1	the	the	DET
ejpam-6693	359	2	approximate	approximate	ADJ
ejpam-6693	359	3	values	value	NOUN
ejpam-6693	359	4	of	of	ADP
ejpam-6693	359	5	the	the	DET
ejpam-6693	359	6	absolute	absolute	ADJ
ejpam-6693	359	7	errors	error	NOUN
ejpam-6693	359	8	in	in	ADP
ejpam-6693	359	9	s(t	s(t	PROPN
ejpam-6693	359	10	)	)	PUNCT
ejpam-6693	359	11	,	,	PUNCT
ejpam-6693	359	12	i(t	i(t	PROPN
ejpam-6693	359	13	)	)	PUNCT
ejpam-6693	359	14	and	and	CCONJ
ejpam-6693	359	15	r(t	r(t	NOUN
ejpam-6693	359	16	)	)	PUNCT
ejpam-6693	359	17	are	be	AUX
ejpam-6693	359	18	represented	represent	VERB
ejpam-6693	359	19	by	by	ADP
ejpam-6693	359	20	er[s(t	er[s(t	PROPN
ejpam-6693	359	21	)	)	PUNCT
ejpam-6693	359	22	]	]	PUNCT
ejpam-6693	359	23	,	,	PUNCT
ejpam-6693	359	24	er[i(t	er[i(t	PROPN
ejpam-6693	359	25	)	)	PUNCT
ejpam-6693	359	26	]	]	PUNCT
ejpam-6693	359	27	and	and	CCONJ
ejpam-6693	359	28	er[r(t	er[r(t	PROPN
ejpam-6693	359	29	)	)	PUNCT
ejpam-6693	359	30	]	]	PUNCT
ejpam-6693	359	31	and	and	CCONJ
ejpam-6693	359	32	are	be	AUX
ejpam-6693	359	33	obtained	obtain	VERB
ejpam-6693	359	34	by	by	ADP
ejpam-6693	359	35	the	the	DET
ejpam-6693	359	36	formulae	formulae	ADJ
ejpam-6693	359	37	er[s(t	er[s(t	PROPN
ejpam-6693	359	38	)	)	PUNCT
ejpam-6693	359	39	]	]	PUNCT
ejpam-6693	360	1	=	=	PUNCT
ejpam-6693	360	2	|s(t)fdtm	|s(t)fdtm	ADP
ejpam-6693	360	3	−	−	NOUN
ejpam-6693	360	4	s(t)ladm	s(t)ladm	NOUN
ejpam-6693	360	5	|	|	ADV
ejpam-6693	360	6	er[i(t	er[i(t	PROPN
ejpam-6693	360	7	)	)	PUNCT
ejpam-6693	360	8	]	]	PUNCT
ejpam-6693	361	1	=	=	X
ejpam-6693	361	2	|i(t)fdtm	|i(t)fdtm	VERB
ejpam-6693	361	3	−	−	NOUN
ejpam-6693	361	4	i(t)ladm	i(t)ladm	VERB
ejpam-6693	361	5	|	|	ADV
ejpam-6693	361	6	er[r(t	er[r(t	NOUN
ejpam-6693	361	7	)	)	PUNCT
ejpam-6693	361	8	]	]	PUNCT
ejpam-6693	362	1	=	=	SYM
ejpam-6693	362	2	|r(t)fdtm	|r(t)fdtm	NUM
ejpam-6693	362	3	−	−	NOUN
ejpam-6693	362	4	r(t)ladm	r(t)ladm	NUM
ejpam-6693	362	5	|	|	PROPN
ejpam-6693	362	6	r.	r.	PROPN
ejpam-6693	362	7	m.	m.	PROPN
ejpam-6693	362	8	kamble	kamble	PROPN
ejpam-6693	362	9	,	,	PUNCT
ejpam-6693	363	1	p.	p.	PROPN
ejpam-6693	363	2	r.	r.	PROPN
ejpam-6693	364	1	kulkarni	kulkarni	PROPN
ejpam-6693	364	2	/	/	SYM
ejpam-6693	364	3	eur	eur	PROPN
ejpam-6693	364	4	.	.	PUNCT
ejpam-6693	365	1	j.	j.	PROPN
ejpam-6693	365	2	pure	pure	PROPN
ejpam-6693	365	3	appl	appl	PROPN
ejpam-6693	365	4	.	.	PROPN
ejpam-6693	365	5	math	math	PROPN
ejpam-6693	365	6	,	,	PUNCT
ejpam-6693	365	7	18	18	NUM
ejpam-6693	365	8	(	(	PUNCT
ejpam-6693	365	9	4	4	NUM
ejpam-6693	365	10	)	)	PUNCT
ejpam-6693	365	11	(	(	PUNCT
ejpam-6693	365	12	2025	2025	NUM
ejpam-6693	365	13	)	)	PUNCT
ejpam-6693	365	14	,	,	PUNCT
ejpam-6693	365	15	6693	6693	NUM
ejpam-6693	365	16	14	14	NUM
ejpam-6693	365	17	of	of	ADP
ejpam-6693	365	18	40	40	NUM
ejpam-6693	365	19	table	table	NOUN
ejpam-6693	365	20	5	5	NUM
ejpam-6693	365	21	:	:	PUNCT
ejpam-6693	365	22	estimate	estimate	NOUN
ejpam-6693	365	23	of	of	ADP
ejpam-6693	365	24	errors	error	NOUN
ejpam-6693	365	25	in	in	ADP
ejpam-6693	365	26	s(t	s(t	PROPN
ejpam-6693	365	27	)	)	PUNCT
ejpam-6693	365	28	for	for	ADP
ejpam-6693	365	29	γ	γ	X
ejpam-6693	365	30	=	=	SYM
ejpam-6693	365	31	0.1	0.1	NUM
ejpam-6693	365	32	.	.	PUNCT
ejpam-6693	366	1	t	t	PROPN
ejpam-6693	366	2	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	366	3	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	366	4	er[s(t	er[s(t	PROPN
ejpam-6693	366	5	)	)	PUNCT
ejpam-6693	366	6	]	]	PUNCT
ejpam-6693	366	7	0	0	NUM
ejpam-6693	366	8	20.00000000000000	20.00000000000000	NUM
ejpam-6693	366	9	20.00000000000000	20.00000000000000	NUM
ejpam-6693	366	10	0.00000000000000	0.00000000000000	NUM
ejpam-6693	366	11	5	5	NUM
ejpam-6693	366	12	17.55702229544161	17.55702229544161	NUM
ejpam-6693	366	13	17.59431154300001	17.59431154300001	NUM
ejpam-6693	366	14	0.03728924755840	0.03728924755840	NUM
ejpam-6693	366	15	10	10	NUM
ejpam-6693	366	16	17.40781060925223	17.40781060925223	NUM
ejpam-6693	366	17	17.45308607588309	17.45308607588309	NUM
ejpam-6693	366	18	0.04527546663086	0.04527546663086	NUM
ejpam-6693	366	19	15	15	NUM
ejpam-6693	366	20	17.31712461031913	17.31712461031913	NUM
ejpam-6693	366	21	17.36782451716560	17.36782451716560	NUM
ejpam-6693	366	22	0.05069990684647	0.05069990684647	NUM
ejpam-6693	366	23	20	20	NUM
ejpam-6693	366	24	17.25124112568540	17.25124112568540	NUM
ejpam-6693	366	25	17.30616983119194	17.30616983119194	NUM
ejpam-6693	366	26	0.05492870550654	0.05492870550654	NUM
ejpam-6693	366	27	25	25	NUM
ejpam-6693	366	28	17.19925180577707	17.19925180577707	NUM
ejpam-6693	366	29	17.25769584483516	17.25769584483516	NUM
ejpam-6693	366	30	0.05844403905810	0.05844403905810	NUM
ejpam-6693	366	31	30	30	NUM
ejpam-6693	366	32	17.15619659362801	17.15619659362801	NUM
ejpam-6693	366	33	17.21767482183604	17.21767482183604	NUM
ejpam-6693	366	34	0.06147822820803	0.06147822820803	NUM
ejpam-6693	366	35	table	table	NOUN
ejpam-6693	366	36	6	6	NUM
ejpam-6693	366	37	:	:	PUNCT
ejpam-6693	366	38	estimate	estimate	NOUN
ejpam-6693	366	39	of	of	ADP
ejpam-6693	366	40	errors	error	NOUN
ejpam-6693	366	41	in	in	ADP
ejpam-6693	366	42	i(t	i(t	NOUN
ejpam-6693	366	43	)	)	PUNCT
ejpam-6693	366	44	for	for	ADP
ejpam-6693	366	45	γ	γ	X
ejpam-6693	366	46	=	=	SYM
ejpam-6693	366	47	0.1	0.1	NUM
ejpam-6693	366	48	.	.	PUNCT
ejpam-6693	367	1	t	t	PROPN
ejpam-6693	367	2	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	367	3	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	368	1	er[i(t	er[i(t	PROPN
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ejpam-6693	368	3	]	]	PUNCT
ejpam-6693	369	1	0	0	NUM
ejpam-6693	369	2	15.00000000000000	15.00000000000000	NUM
ejpam-6693	369	3	15.00000000000000	15.00000000000000	NUM
ejpam-6693	369	4	0.00000000000000	0.00000000000000	NUM
ejpam-6693	369	5	5	5	NUM
ejpam-6693	369	6	12.46558082849279	12.46558082849279	NUM
ejpam-6693	369	7	12.41676378653062	12.41676378653062	NUM
ejpam-6693	369	8	0.04881704196217	0.04881704196217	NUM
ejpam-6693	369	9	10	10	NUM
ejpam-6693	369	10	12.30053972810497	12.30053972810497	NUM
ejpam-6693	369	11	12.24037435176146	12.24037435176146	NUM
ejpam-6693	369	12	0.06016537634351	0.06016537634351	NUM
ejpam-6693	369	13	15	15	NUM
ejpam-6693	369	14	12.19982823339885	12.19982823339885	NUM
ejpam-6693	369	15	12.13183803127759	12.13183803127759	NUM
ejpam-6693	369	16	0.06799020212126	0.06799020212126	NUM
ejpam-6693	369	17	20	20	NUM
ejpam-6693	369	18	12.12647775783722	12.12647775783722	NUM
ejpam-6693	369	19	12.05232598332779	12.05232598332779	NUM
ejpam-6693	369	20	0.07415177450943	0.07415177450943	NUM
ejpam-6693	369	21	25	25	NUM
ejpam-6693	369	22	12.06849040276133	12.06849040276133	NUM
ejpam-6693	369	23	11.98917726395060	11.98917726395060	NUM
ejpam-6693	369	24	0.07931313881073	0.07931313881073	NUM
ejpam-6693	369	25	30	30	NUM
ejpam-6693	369	26	12.02039883376837	12.02039883376837	NUM
ejpam-6693	369	27	11.93660290522253	11.93660290522253	NUM
ejpam-6693	369	28	0.08379592854584	0.08379592854584	NUM
ejpam-6693	369	29	table	table	NOUN
ejpam-6693	369	30	7	7	NUM
ejpam-6693	369	31	:	:	PUNCT
ejpam-6693	369	32	estimate	estimate	NOUN
ejpam-6693	369	33	of	of	ADP
ejpam-6693	369	34	errors	error	NOUN
ejpam-6693	369	35	in	in	ADP
ejpam-6693	369	36	r(t	r(t	NOUN
ejpam-6693	369	37	)	)	PUNCT
ejpam-6693	369	38	for	for	ADP
ejpam-6693	369	39	γ	γ	X
ejpam-6693	369	40	=	=	SYM
ejpam-6693	369	41	0.1	0.1	NUM
ejpam-6693	369	42	.	.	PUNCT
ejpam-6693	370	1	t	t	PROPN
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ejpam-6693	370	3	r(t)ladm	r(t)ladm	NUM
ejpam-6693	370	4	er[r(t	er[r(t	PROPN
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ejpam-6693	370	6	]	]	PUNCT
ejpam-6693	371	1	0	0	NUM
ejpam-6693	371	2	10.00000000000000	10.00000000000000	NUM
ejpam-6693	371	3	10.00000000000000	10.00000000000000	NUM
ejpam-6693	371	4	0.00000000000000	0.00000000000000	NUM
ejpam-6693	371	5	5	5	NUM
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ejpam-6693	371	11	10.26652744914304	10.26652744914304	NUM
ejpam-6693	371	12	0.00135139254960	0.00135139254960	NUM
ejpam-6693	371	13	15	15	NUM
ejpam-6693	371	14	10.26545056249648	10.26545056249648	NUM
ejpam-6693	371	15	10.26327199707570	10.26327199707570	NUM
ejpam-6693	371	16	0.00217856542077	0.00217856542077	NUM
ejpam-6693	371	17	20	20	NUM
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ejpam-6693	371	19	10.26027696818093	10.26027696818093	NUM
ejpam-6693	371	20	0.00288131101106	0.00288131101106	NUM
ejpam-6693	371	21	25	25	NUM
ejpam-6693	371	22	10.26103572422611	10.26103572422611	NUM
ejpam-6693	371	23	10.25753353094654	10.25753353094654	NUM
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ejpam-6693	371	29	r.	r.	PROPN
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ejpam-6693	371	34	r.	r.	PROPN
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ejpam-6693	372	3	eur	eur	PROPN
ejpam-6693	372	4	.	.	PUNCT
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ejpam-6693	373	2	pure	pure	PROPN
ejpam-6693	373	3	appl	appl	PROPN
ejpam-6693	373	4	.	.	PROPN
ejpam-6693	373	5	math	math	PROPN
ejpam-6693	373	6	,	,	PUNCT
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ejpam-6693	373	8	(	(	PUNCT
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ejpam-6693	373	11	(	(	PUNCT
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ejpam-6693	373	13	)	)	PUNCT
ejpam-6693	373	14	,	,	PUNCT
ejpam-6693	373	15	6693	6693	NUM
ejpam-6693	373	16	15	15	NUM
ejpam-6693	373	17	of	of	ADP
ejpam-6693	373	18	40	40	NUM
ejpam-6693	373	19	table	table	NOUN
ejpam-6693	373	20	8	8	NUM
ejpam-6693	373	21	:	:	PUNCT
ejpam-6693	373	22	estimate	estimate	NOUN
ejpam-6693	373	23	of	of	ADP
ejpam-6693	373	24	errors	error	NOUN
ejpam-6693	373	25	in	in	ADP
ejpam-6693	373	26	s(t	s(t	PROPN
ejpam-6693	373	27	)	)	PUNCT
ejpam-6693	373	28	for	for	ADP
ejpam-6693	373	29	γ	γ	X
ejpam-6693	373	30	=	=	SYM
ejpam-6693	373	31	0.5	0.5	NUM
ejpam-6693	373	32	.	.	PUNCT
ejpam-6693	374	1	t	t	PROPN
ejpam-6693	374	2	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	374	3	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	374	4	er[s(t	er[s(t	PROPN
ejpam-6693	374	5	)	)	PUNCT
ejpam-6693	374	6	]	]	PUNCT
ejpam-6693	374	7	0	0	NUM
ejpam-6693	374	8	20.00000000000000	20.00000000000000	NUM
ejpam-6693	374	9	20.00000000000000	20.00000000000000	NUM
ejpam-6693	374	10	0.00000000000000	0.00000000000000	NUM
ejpam-6693	374	11	5	5	NUM
ejpam-6693	374	12	15.52077075898145	15.52077075898145	NUM
ejpam-6693	374	13	15.61380112841204	15.61380112841204	NUM
ejpam-6693	374	14	0.09303036943060	0.09303036943060	NUM
ejpam-6693	374	15	10	10	NUM
ejpam-6693	374	16	14.32954461214130	14.32954461214130	NUM
ejpam-6693	374	17	14.55193192445817	14.55193192445817	NUM
ejpam-6693	374	18	0.22238731231687	0.22238731231687	NUM
ejpam-6693	374	19	15	15	NUM
ejpam-6693	374	20	13.66621435930453	13.66621435930453	NUM
ejpam-6693	374	21	14.02421111980599	14.02421111980599	NUM
ejpam-6693	374	22	0.35799676050146	0.35799676050146	NUM
ejpam-6693	374	23	20	20	NUM
ejpam-6693	374	24	13.28956940388280	13.28956940388280	NUM
ejpam-6693	374	25	13.77791436087322	13.77791436087322	NUM
ejpam-6693	374	26	0.48834495699041	0.48834495699041	NUM
ejpam-6693	374	27	25	25	NUM
ejpam-6693	374	28	13.11162500000000	13.11162500000000	NUM
ejpam-6693	374	29	13.71834853250000	13.71834853250000	NUM
ejpam-6693	374	30	0.60672353250000	0.60672353250000	NUM
ejpam-6693	374	31	30	30	NUM
ejpam-6693	374	32	13.08993014024754	13.08993014024754	NUM
ejpam-6693	374	33	13.79851856567137	13.79851856567137	NUM
ejpam-6693	374	34	0.70858842542383	0.70858842542383	NUM
ejpam-6693	374	35	table	table	NOUN
ejpam-6693	374	36	9	9	NUM
ejpam-6693	374	37	:	:	PUNCT
ejpam-6693	374	38	estimate	estimate	NOUN
ejpam-6693	374	39	of	of	ADP
ejpam-6693	374	40	errors	error	NOUN
ejpam-6693	374	41	in	in	ADP
ejpam-6693	374	42	i(t	i(t	NOUN
ejpam-6693	374	43	)	)	PUNCT
ejpam-6693	374	44	for	for	ADP
ejpam-6693	374	45	γ	γ	X
ejpam-6693	374	46	=	=	SYM
ejpam-6693	374	47	0.5	0.5	NUM
ejpam-6693	374	48	.	.	PUNCT
ejpam-6693	375	1	t	t	PROPN
ejpam-6693	375	2	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	375	3	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	376	1	er[i(t	er[i(t	PROPN
ejpam-6693	376	2	)	)	PUNCT
ejpam-6693	376	3	]	]	PUNCT
ejpam-6693	377	1	0	0	NUM
ejpam-6693	377	2	15.00000000000000	15.00000000000000	NUM
ejpam-6693	377	3	15.00000000000000	15.00000000000000	NUM
ejpam-6693	377	4	0.00000000000000	0.00000000000000	NUM
ejpam-6693	377	5	5	5	NUM
ejpam-6693	377	6	9.98419347279288	9.98419347279288	NUM
ejpam-6693	377	7	9.87505250806161	9.87505250806161	NUM
ejpam-6693	377	8	0.10914096473127	0.10914096473127	NUM
ejpam-6693	377	9	10	10	NUM
ejpam-6693	377	10	8.18184657457090	8.18184657457090	NUM
ejpam-6693	377	11	7.90969179323354	7.90969179323354	NUM
ejpam-6693	377	12	0.27215478133736	0.27215478133736	NUM
ejpam-6693	377	13	15	15	NUM
ejpam-6693	377	14	6.82841519839620	6.82841519839620	NUM
ejpam-6693	378	1	6.38011427914472	6.38011427914472	NUM
ejpam-6693	378	2	0.44830091925149	0.44830091925149	NUM
ejpam-6693	378	3	20	20	NUM
ejpam-6693	378	4	5.64878030720242	5.64878030720242	NUM
ejpam-6693	378	5	5.02572029367717	5.02572029367717	NUM
ejpam-6693	378	6	0.62306001352524	0.62306001352524	NUM
ejpam-6693	378	7	25	25	NUM
ejpam-6693	378	8	4.53312500000000	4.53312500000000	NUM
ejpam-6693	378	9	3.74508301850000	3.74508301850000	NUM
ejpam-6693	378	10	0.78804198150000	0.78804198150000	NUM
ejpam-6693	378	11	30	30	NUM
ejpam-6693	378	12	3.42353249758467	3.42353249758467	NUM
ejpam-6693	378	13	2.48594621404391	2.48594621404391	NUM
ejpam-6693	378	14	0.93758628354076	0.93758628354076	NUM
ejpam-6693	378	15	table	table	NOUN
ejpam-6693	378	16	10	10	NUM
ejpam-6693	378	17	:	:	PUNCT
ejpam-6693	378	18	estimate	estimate	NOUN
ejpam-6693	378	19	of	of	ADP
ejpam-6693	378	20	errors	error	NOUN
ejpam-6693	378	21	in	in	ADP
ejpam-6693	378	22	r(t	r(t	NOUN
ejpam-6693	378	23	)	)	PUNCT
ejpam-6693	378	24	for	for	ADP
ejpam-6693	378	25	γ	γ	X
ejpam-6693	378	26	=	=	SYM
ejpam-6693	378	27	0.5	0.5	NUM
ejpam-6693	378	28	.	.	PUNCT
ejpam-6693	379	1	t	t	PROPN
ejpam-6693	379	2	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	379	3	r(t)ladm	r(t)ladm	NUM
ejpam-6693	379	4	er[r(t	er[r(t	PROPN
ejpam-6693	379	5	)	)	PUNCT
ejpam-6693	379	6	]	]	PUNCT
ejpam-6693	379	7	0	0	NUM
ejpam-6693	380	1	10.00000000000000	10.00000000000000	NUM
ejpam-6693	380	2	10.00000000000000	10.00000000000000	NUM
ejpam-6693	380	3	0.00000000000000	0.00000000000000	NUM
ejpam-6693	380	4	5	5	NUM
ejpam-6693	380	5	10.18069619104760	10.18069619104760	NUM
ejpam-6693	380	6	10.17395205545793	10.17395205545793	NUM
ejpam-6693	380	7	0.00674413558967	0.00674413558967	NUM
ejpam-6693	380	8	10	10	NUM
ejpam-6693	380	9	9.80356412390077	9.80356412390077	NUM
ejpam-6693	380	10	9.77746541222377	9.77746541222377	NUM
ejpam-6693	380	11	0.02609871167700	0.02609871167700	NUM
ejpam-6693	380	12	15	15	NUM
ejpam-6693	380	13	9.39817751417899	9.39817751417899	NUM
ejpam-6693	380	14	9.34005725374527	9.34005725374527	NUM
ejpam-6693	380	15	0.05812026043372	0.05812026043372	NUM
ejpam-6693	380	16	20	20	NUM
ejpam-6693	380	17	8.99183221094853	8.99183221094853	NUM
ejpam-6693	380	18	8.88900625418141	8.88900625418141	NUM
ejpam-6693	380	19	0.10282595676712	0.10282595676712	NUM
ejpam-6693	380	20	25	25	NUM
ejpam-6693	380	21	8.58912500000000	8.58912500000000	NUM
ejpam-6693	380	22	8.42889948050000	8.42889948050000	NUM
ejpam-6693	380	23	0.16022551950000	0.16022551950000	NUM
ejpam-6693	380	24	30	30	NUM
ejpam-6693	380	25	8.18948040334127	8.18948040334127	NUM
ejpam-6693	380	26	7.95915496540499	7.95915496540499	NUM
ejpam-6693	380	27	0.23032543793628	0.23032543793628	NUM
ejpam-6693	380	28	9	9	NUM
ejpam-6693	380	29	.	.	PUNCT
ejpam-6693	380	30	runge	runge	NOUN
ejpam-6693	380	31	-	-	PUNCT
ejpam-6693	380	32	kutta	kutta	PROPN
ejpam-6693	380	33	felhberg	felhberg	PROPN
ejpam-6693	380	34	algorithm	algorithm	PROPN
ejpam-6693	380	35	an	an	DET
ejpam-6693	380	36	important	important	ADJ
ejpam-6693	380	37	family	family	NOUN
ejpam-6693	380	38	of	of	ADP
ejpam-6693	380	39	predictor	predictor	NOUN
ejpam-6693	380	40	-	-	PUNCT
ejpam-6693	380	41	corrector	corrector	NOUN
ejpam-6693	380	42	methods	method	NOUN
ejpam-6693	380	43	to	to	PART
ejpam-6693	380	44	solve	solve	VERB
ejpam-6693	380	45	linear	linear	ADJ
ejpam-6693	380	46	and	and	CCONJ
ejpam-6693	380	47	non	non	ADJ
ejpam-6693	380	48	-	-	ADJ
ejpam-6693	380	49	linear	linear	ADJ
ejpam-6693	380	50	ordinary	ordinary	ADJ
ejpam-6693	380	51	differential	differential	ADJ
ejpam-6693	380	52	equations	equation	NOUN
ejpam-6693	380	53	is	be	AUX
ejpam-6693	380	54	known	know	VERB
ejpam-6693	380	55	to	to	ADP
ejpam-6693	380	56	the	the	DET
ejpam-6693	380	57	runge	runge	NOUN
ejpam-6693	380	58	-	-	PUNCT
ejpam-6693	380	59	kutta	kutta	NOUN
ejpam-6693	380	60	methods	method	NOUN
ejpam-6693	380	61	,	,	PUNCT
ejpam-6693	380	62	named	name	VERB
ejpam-6693	380	63	after	after	ADP
ejpam-6693	380	64	the	the	DET
ejpam-6693	380	65	german	german	ADJ
ejpam-6693	380	66	mathematicians	mathematicians	PROPN
ejpam-6693	380	67	c.	c.	PROPN
ejpam-6693	380	68	runge	runge	PROPN
ejpam-6693	380	69	(	(	PUNCT
ejpam-6693	380	70	1856–1927	1856–1927	NUM
ejpam-6693	380	71	)	)	PUNCT
ejpam-6693	380	72	and	and	CCONJ
ejpam-6693	380	73	m.	m.	PROPN
ejpam-6693	380	74	w.	w.	PROPN
ejpam-6693	380	75	kutta	kutta	PROPN
ejpam-6693	380	76	(	(	PUNCT
ejpam-6693	380	77	1867–1944	1867–1944	NUM
ejpam-6693	380	78	)	)	PUNCT
ejpam-6693	380	79	.	.	PUNCT
ejpam-6693	381	1	consider	consider	VERB
ejpam-6693	381	2	the	the	DET
ejpam-6693	381	3	ordinary	ordinary	ADJ
ejpam-6693	381	4	differential	differential	ADJ
ejpam-6693	381	5	equation	equation	NOUN
ejpam-6693	381	6	y	y	PROPN
ejpam-6693	381	7	′(t	′(t	PROPN
ejpam-6693	381	8	)	)	PUNCT
ejpam-6693	382	1	=	=	SYM
ejpam-6693	382	2	f	f	PROPN
ejpam-6693	383	1	[	[	X
ejpam-6693	383	2	t	t	PROPN
ejpam-6693	383	3	,	,	PUNCT
ejpam-6693	383	4	y	y	PROPN
ejpam-6693	383	5	(	(	PUNCT
ejpam-6693	383	6	t	t	PROPN
ejpam-6693	383	7	)	)	PUNCT
ejpam-6693	383	8	]	]	PUNCT
ejpam-6693	383	9	,	,	PUNCT
ejpam-6693	383	10	y	y	PROPN
ejpam-6693	383	11	(	(	PUNCT
ejpam-6693	383	12	0	0	NUM
ejpam-6693	383	13	)	)	PUNCT
ejpam-6693	383	14	=	=	SYM
ejpam-6693	383	15	y0	y0	PROPN
ejpam-6693	383	16	r.	r.	NOUN
ejpam-6693	383	17	m.	m.	PROPN
ejpam-6693	383	18	kamble	kamble	PROPN
ejpam-6693	383	19	,	,	PUNCT
ejpam-6693	383	20	p.	p.	PROPN
ejpam-6693	383	21	r.	r.	PROPN
ejpam-6693	383	22	kulkarni	kulkarni	PROPN
ejpam-6693	383	23	/	/	SYM
ejpam-6693	383	24	eur	eur	PROPN
ejpam-6693	383	25	.	.	PUNCT
ejpam-6693	384	1	j.	j.	PROPN
ejpam-6693	384	2	pure	pure	PROPN
ejpam-6693	384	3	appl	appl	PROPN
ejpam-6693	384	4	.	.	PROPN
ejpam-6693	384	5	math	math	PROPN
ejpam-6693	384	6	,	,	PUNCT
ejpam-6693	384	7	18	18	NUM
ejpam-6693	384	8	(	(	PUNCT
ejpam-6693	384	9	4	4	NUM
ejpam-6693	384	10	)	)	PUNCT
ejpam-6693	384	11	(	(	PUNCT
ejpam-6693	384	12	2025	2025	NUM
ejpam-6693	384	13	)	)	PUNCT
ejpam-6693	384	14	,	,	PUNCT
ejpam-6693	384	15	6693	6693	NUM
ejpam-6693	384	16	16	16	NUM
ejpam-6693	384	17	of	of	ADP
ejpam-6693	384	18	40	40	NUM
ejpam-6693	384	19	where	where	SCONJ
ejpam-6693	384	20	y	y	PROPN
ejpam-6693	384	21	(	(	PUNCT
ejpam-6693	384	22	t	t	PROPN
ejpam-6693	384	23	)	)	PUNCT
ejpam-6693	384	24	=	=	PUNCT
ejpam-6693	384	25	(	(	PUNCT
ejpam-6693	384	26	y1(t	y1(t	PROPN
ejpam-6693	384	27	)	)	PUNCT
ejpam-6693	384	28	,	,	PUNCT
ejpam-6693	384	29	y2(t	y2(t	PROPN
ejpam-6693	384	30	)	)	PUNCT
ejpam-6693	384	31	,	,	PUNCT
ejpam-6693	384	32	·	·	PUNCT
ejpam-6693	384	33	·	·	PUNCT
ejpam-6693	384	34	·	·	PUNCT
ejpam-6693	384	35	,	,	PUNCT
ejpam-6693	384	36	yn(t))t	yn(t))t	X
ejpam-6693	384	37	,	,	PUNCT
ejpam-6693	384	38	f	f	X
ejpam-6693	384	39	:	:	PUNCT
ejpam-6693	385	1	[	[	X
ejpam-6693	385	2	a	a	X
ejpam-6693	385	3	,	,	PUNCT
ejpam-6693	385	4	b]×	b]×	NOUN
ejpam-6693	385	5	rn	rn	PROPN
ejpam-6693	385	6	→	→	SYM
ejpam-6693	385	7	rn	rn	PROPN
ejpam-6693	385	8	is	be	AUX
ejpam-6693	385	9	a	a	DET
ejpam-6693	385	10	continuous	continuous	ADJ
ejpam-6693	385	11	function	function	NOUN
ejpam-6693	385	12	and	and	CCONJ
ejpam-6693	385	13	a	a	DET
ejpam-6693	385	14	,	,	PUNCT
ejpam-6693	385	15	b	b	PROPN
ejpam-6693	385	16	∈	∈	PROPN
ejpam-6693	385	17	r.	r.	PROPN
ejpam-6693	385	18	in	in	ADP
ejpam-6693	385	19	case	case	NOUN
ejpam-6693	385	20	the	the	DET
ejpam-6693	385	21	function	function	NOUN
ejpam-6693	385	22	f	f	PROPN
ejpam-6693	385	23	is	be	AUX
ejpam-6693	385	24	non	non	ADJ
ejpam-6693	385	25	-	-	ADJ
ejpam-6693	385	26	linear	linear	ADJ
ejpam-6693	385	27	and	and	CCONJ
ejpam-6693	385	28	the	the	DET
ejpam-6693	385	29	analytical	analytical	ADJ
ejpam-6693	385	30	solutions	solution	NOUN
ejpam-6693	385	31	do	do	AUX
ejpam-6693	385	32	not	not	PART
ejpam-6693	385	33	exist	exist	VERB
ejpam-6693	385	34	,	,	PUNCT
ejpam-6693	385	35	we	we	PRON
ejpam-6693	385	36	need	need	VERB
ejpam-6693	385	37	to	to	PART
ejpam-6693	385	38	obtain	obtain	VERB
ejpam-6693	385	39	an	an	DET
ejpam-6693	385	40	approximate	approximate	ADJ
ejpam-6693	385	41	solution	solution	NOUN
ejpam-6693	385	42	by	by	ADP
ejpam-6693	385	43	dividing	divide	VERB
ejpam-6693	385	44	the	the	DET
ejpam-6693	385	45	interval	interval	NOUN
ejpam-6693	385	46	[	[	X
ejpam-6693	385	47	a	a	X
ejpam-6693	385	48	,	,	PUNCT
ejpam-6693	385	49	b	b	NOUN
ejpam-6693	385	50	]	]	X
ejpam-6693	385	51	into	into	ADP
ejpam-6693	385	52	n	n	CCONJ
ejpam-6693	385	53	equal	equal	ADJ
ejpam-6693	385	54	parts	part	NOUN
ejpam-6693	385	55	,	,	PUNCT
ejpam-6693	385	56	each	each	PRON
ejpam-6693	385	57	of	of	ADP
ejpam-6693	385	58	length	length	NOUN
ejpam-6693	385	59	h	h	NOUN
ejpam-6693	385	60	=	=	NOUN
ejpam-6693	385	61	b−a	b−a	PROPN
ejpam-6693	385	62	n	n	NOUN
ejpam-6693	385	63	,	,	PUNCT
ejpam-6693	385	64	n	n	CCONJ
ejpam-6693	385	65	∈	∈	PROPN
ejpam-6693	385	66	n	n	CCONJ
ejpam-6693	385	67	,	,	PUNCT
ejpam-6693	385	68	h	h	PROPN
ejpam-6693	385	69	is	be	AUX
ejpam-6693	385	70	also	also	ADV
ejpam-6693	385	71	called	call	VERB
ejpam-6693	385	72	as	as	ADP
ejpam-6693	385	73	the	the	DET
ejpam-6693	385	74	step	step	NOUN
ejpam-6693	385	75	size	size	NOUN
ejpam-6693	385	76	.	.	PUNCT
ejpam-6693	386	1	considering	consider	VERB
ejpam-6693	386	2	the	the	DET
ejpam-6693	386	3	mesh	mesh	NOUN
ejpam-6693	386	4	points	point	NOUN
ejpam-6693	386	5	ti	ti	NOUN
ejpam-6693	386	6	=	=	SYM
ejpam-6693	386	7	a	a	PROPN
ejpam-6693	386	8	+	+	X
ejpam-6693	386	9	ih	ih	X
ejpam-6693	386	10	,	,	PUNCT
ejpam-6693	386	11	i	i	PRON
ejpam-6693	386	12	=	=	NOUN
ejpam-6693	386	13	0	0	NUM
ejpam-6693	386	14	,	,	PUNCT
ejpam-6693	386	15	1	1	NUM
ejpam-6693	386	16	,	,	PUNCT
ejpam-6693	386	17	·	·	PUNCT
ejpam-6693	386	18	·	·	PUNCT
ejpam-6693	386	19	·	·	PUNCT
ejpam-6693	386	20	,	,	PUNCT
ejpam-6693	386	21	n	n	CCONJ
ejpam-6693	386	22	,	,	PUNCT
ejpam-6693	386	23	the	the	DET
ejpam-6693	386	24	n	n	NOUN
ejpam-6693	386	25	+	+	CCONJ
ejpam-6693	386	26	1th	1th	ADJ
ejpam-6693	386	27	approximate	approximate	ADJ
ejpam-6693	386	28	solution	solution	NOUN
ejpam-6693	386	29	at	at	ADP
ejpam-6693	386	30	the	the	DET
ejpam-6693	386	31	mth	mth	NOUN
ejpam-6693	386	32	stage	stage	NOUN
ejpam-6693	386	33	to	to	ADP
ejpam-6693	386	34	the	the	DET
ejpam-6693	386	35	initial	initial	ADJ
ejpam-6693	386	36	value	value	NOUN
ejpam-6693	386	37	problem	problem	NOUN
ejpam-6693	386	38	is	be	AUX
ejpam-6693	386	39	given	give	VERB
ejpam-6693	386	40	by	by	ADP
ejpam-6693	386	41	:	:	PUNCT
ejpam-6693	386	42	y	y	PROPN
ejpam-6693	386	43	(	(	PUNCT
ejpam-6693	386	44	tn+1	tn+1	NOUN
ejpam-6693	386	45	)	)	PUNCT
ejpam-6693	386	46	=	=	SYM
ejpam-6693	386	47	yn+1	yn+1	PROPN
ejpam-6693	386	48	=	=	PUNCT
ejpam-6693	386	49	yn	yn	PROPN
ejpam-6693	386	50	+	+	CCONJ
ejpam-6693	386	51	m∑	m∑	CCONJ
ejpam-6693	386	52	i=1	i=1	PROPN
ejpam-6693	386	53	aiki	aiki	PROPN
ejpam-6693	387	1	where	where	SCONJ
ejpam-6693	387	2	km	km	NOUN
ejpam-6693	387	3	=	=	SYM
ejpam-6693	387	4	f	f	PROPN
ejpam-6693	387	5	(	(	PUNCT
ejpam-6693	387	6	tn	tn	PROPN
ejpam-6693	387	7	+	+	NUM
ejpam-6693	387	8	cmh+	cmh+	PROPN
ejpam-6693	387	9	yn	yn	PROPN
ejpam-6693	387	10	+	+	NOUN
ejpam-6693	387	11	h	h	NOUN
ejpam-6693	387	12	m−1∑	m−1∑	NUM
ejpam-6693	387	13	i=1	i=1	PROPN
ejpam-6693	387	14	dmiki	dmiki	PROPN
ejpam-6693	387	15	)	)	PUNCT
ejpam-6693	388	1	the	the	DET
ejpam-6693	388	2	coefficients	coefficient	NOUN
ejpam-6693	388	3	ci	ci	PROPN
ejpam-6693	388	4	,	,	PUNCT
ejpam-6693	388	5	2	2	NUM
ejpam-6693	388	6	≤	≤	NUM
ejpam-6693	388	7	i	i	X
ejpam-6693	388	8	≤	≤	NOUN
ejpam-6693	388	9	m	m	ADP
ejpam-6693	388	10	,	,	PUNCT
ejpam-6693	388	11	dij	dij	INTJ
ejpam-6693	388	12	,	,	PUNCT
ejpam-6693	388	13	1	1	NUM
ejpam-6693	388	14	≤	≤	NUM
ejpam-6693	389	1	j	j	NOUN
ejpam-6693	389	2	<	<	X
ejpam-6693	389	3	i	i	X
ejpam-6693	389	4	≤	≤	PUNCT
ejpam-6693	389	5	m	m	ADP
ejpam-6693	389	6	,	,	PUNCT
ejpam-6693	389	7	and	and	CCONJ
ejpam-6693	389	8	ai	ai	VERB
ejpam-6693	389	9	,	,	PUNCT
ejpam-6693	389	10	i	i	PROPN
ejpam-6693	389	11	≤	≤	PUNCT
ejpam-6693	390	1	i	i	PRON
ejpam-6693	390	2	≤	≤	NOUN
ejpam-6693	390	3	m	m	VERB
ejpam-6693	390	4	are	be	AUX
ejpam-6693	390	5	to	to	PART
ejpam-6693	390	6	be	be	AUX
ejpam-6693	390	7	determined	determine	VERB
ejpam-6693	390	8	in	in	ADP
ejpam-6693	390	9	the	the	DET
ejpam-6693	390	10	form	form	NOUN
ejpam-6693	390	11	of	of	ADP
ejpam-6693	390	12	a	a	DET
ejpam-6693	390	13	table	table	NOUN
ejpam-6693	390	14	,	,	PUNCT
ejpam-6693	390	15	known	know	VERB
ejpam-6693	390	16	as	as	ADP
ejpam-6693	390	17	butcher	butcher	NOUN
ejpam-6693	390	18	tableau	tableau	PROPN
ejpam-6693	390	19	.	.	PUNCT
ejpam-6693	391	1	in	in	ADP
ejpam-6693	391	2	order	order	NOUN
ejpam-6693	391	3	to	to	PART
ejpam-6693	391	4	improve	improve	VERB
ejpam-6693	391	5	the	the	DET
ejpam-6693	391	6	rate	rate	NOUN
ejpam-6693	391	7	of	of	ADP
ejpam-6693	391	8	convergence	convergence	NOUN
ejpam-6693	391	9	,	,	PUNCT
ejpam-6693	391	10	the	the	DET
ejpam-6693	391	11	algorithm	algorithm	NOUN
ejpam-6693	391	12	based	base	VERB
ejpam-6693	391	13	on	on	ADP
ejpam-6693	391	14	step	step	NOUN
ejpam-6693	391	15	-	-	PUNCT
ejpam-6693	391	16	size	size	NOUN
ejpam-6693	391	17	adjustment	adjustment	NOUN
ejpam-6693	391	18	was	be	AUX
ejpam-6693	391	19	developed	develop	VERB
ejpam-6693	391	20	by	by	ADP
ejpam-6693	391	21	felhberg	felhberg	PROPN
ejpam-6693	391	22	and	and	CCONJ
ejpam-6693	391	23	is	be	AUX
ejpam-6693	391	24	known	know	VERB
ejpam-6693	391	25	as	as	ADP
ejpam-6693	391	26	runge	runge	NOUN
ejpam-6693	391	27	-	-	PUNCT
ejpam-6693	391	28	kutta	kutta	NOUN
ejpam-6693	391	29	felhberg	felhberg	PROPN
ejpam-6693	391	30	algorithm	algorithm	PROPN
ejpam-6693	391	31	(	(	PUNCT
ejpam-6693	391	32	rkfa	rkfa	PROPN
ejpam-6693	391	33	)	)	PUNCT
ejpam-6693	391	34	.	.	PUNCT
ejpam-6693	392	1	this	this	DET
ejpam-6693	392	2	algorithm	algorithm	NOUN
ejpam-6693	392	3	is	be	AUX
ejpam-6693	392	4	an	an	DET
ejpam-6693	392	5	adaptive	adaptive	ADJ
ejpam-6693	392	6	algorithm	algorithm	NOUN
ejpam-6693	392	7	where	where	SCONJ
ejpam-6693	392	8	at	at	ADP
ejpam-6693	392	9	each	each	DET
ejpam-6693	392	10	step	step	NOUN
ejpam-6693	392	11	,	,	PUNCT
ejpam-6693	392	12	two	two	NUM
ejpam-6693	392	13	different	different	ADJ
ejpam-6693	392	14	approximate	approximate	ADJ
ejpam-6693	392	15	solutions	solution	NOUN
ejpam-6693	392	16	are	be	AUX
ejpam-6693	392	17	obtained	obtain	VERB
ejpam-6693	392	18	and	and	CCONJ
ejpam-6693	392	19	are	be	AUX
ejpam-6693	392	20	compared	compare	VERB
ejpam-6693	392	21	.	.	PUNCT
ejpam-6693	393	1	if	if	SCONJ
ejpam-6693	393	2	the	the	DET
ejpam-6693	393	3	two	two	NUM
ejpam-6693	393	4	approximate	approximate	ADJ
ejpam-6693	393	5	solutions	solution	NOUN
ejpam-6693	393	6	agree	agree	VERB
ejpam-6693	393	7	up	up	ADP
ejpam-6693	393	8	to	to	ADP
ejpam-6693	393	9	a	a	DET
ejpam-6693	393	10	desired	desire	VERB
ejpam-6693	393	11	level	level	NOUN
ejpam-6693	393	12	of	of	ADP
ejpam-6693	393	13	accuracy	accuracy	NOUN
ejpam-6693	393	14	,	,	PUNCT
ejpam-6693	393	15	the	the	DET
ejpam-6693	393	16	approximate	approximate	ADJ
ejpam-6693	393	17	solution	solution	NOUN
ejpam-6693	393	18	is	be	AUX
ejpam-6693	393	19	accepted	accept	VERB
ejpam-6693	393	20	.	.	PUNCT
ejpam-6693	394	1	in	in	ADP
ejpam-6693	394	2	case	case	NOUN
ejpam-6693	394	3	the	the	DET
ejpam-6693	394	4	two	two	NUM
ejpam-6693	394	5	approximate	approximate	ADJ
ejpam-6693	394	6	solutions	solution	NOUN
ejpam-6693	394	7	did	do	AUX
ejpam-6693	394	8	not	not	PART
ejpam-6693	394	9	agree	agree	VERB
ejpam-6693	394	10	,	,	PUNCT
ejpam-6693	394	11	the	the	DET
ejpam-6693	394	12	step	step	NOUN
ejpam-6693	394	13	-	-	PUNCT
ejpam-6693	394	14	size	size	NOUN
ejpam-6693	394	15	is	be	AUX
ejpam-6693	394	16	reduced	reduce	VERB
ejpam-6693	394	17	and	and	CCONJ
ejpam-6693	394	18	the	the	DET
ejpam-6693	394	19	same	same	ADJ
ejpam-6693	394	20	procedure	procedure	NOUN
ejpam-6693	394	21	is	be	AUX
ejpam-6693	394	22	repeated	repeat	VERB
ejpam-6693	394	23	.	.	PUNCT
ejpam-6693	395	1	this	this	DET
ejpam-6693	395	2	algorithm	algorithm	NOUN
ejpam-6693	395	3	evaluates	evaluate	VERB
ejpam-6693	395	4	f	f	PROPN
ejpam-6693	395	5	[	[	X
ejpam-6693	395	6	t	t	PROPN
ejpam-6693	395	7	,	,	PUNCT
ejpam-6693	395	8	y	y	PROPN
ejpam-6693	395	9	(	(	PUNCT
ejpam-6693	395	10	t	t	PROPN
ejpam-6693	395	11	)	)	PUNCT
ejpam-6693	395	12	]	]	PUNCT
ejpam-6693	396	1	six	six	NUM
ejpam-6693	396	2	times	time	NOUN
ejpam-6693	396	3	per	per	ADP
ejpam-6693	396	4	step	step	NOUN
ejpam-6693	396	5	using	use	VERB
ejpam-6693	396	6	the	the	DET
ejpam-6693	396	7	embedded	embed	VERB
ejpam-6693	396	8	4th	4th	ADJ
ejpam-6693	396	9	order	order	NOUN
ejpam-6693	396	10	and	and	CCONJ
ejpam-6693	396	11	5th	5th	ADJ
ejpam-6693	396	12	order	order	NOUN
ejpam-6693	396	13	runge	runge	NOUN
ejpam-6693	396	14	-	-	PUNCT
ejpam-6693	396	15	kutta	kutta	NOUN
ejpam-6693	396	16	method	method	NOUN
ejpam-6693	396	17	.	.	PUNCT
ejpam-6693	397	1	moreover	moreover	ADV
ejpam-6693	397	2	,	,	PUNCT
ejpam-6693	397	3	the	the	DET
ejpam-6693	397	4	algorithm	algorithm	NOUN
ejpam-6693	397	5	also	also	ADV
ejpam-6693	397	6	evaluates	evaluate	VERB
ejpam-6693	397	7	the	the	DET
ejpam-6693	397	8	amount	amount	NOUN
ejpam-6693	397	9	of	of	ADP
ejpam-6693	397	10	errors	error	NOUN
ejpam-6693	397	11	.	.	PUNCT
ejpam-6693	398	1	the	the	DET
ejpam-6693	398	2	approximate	approximate	ADJ
ejpam-6693	398	3	solution	solution	NOUN
ejpam-6693	398	4	to	to	ADP
ejpam-6693	398	5	the	the	DET
ejpam-6693	398	6	initial	initial	ADJ
ejpam-6693	398	7	value	value	NOUN
ejpam-6693	398	8	problem	problem	NOUN
ejpam-6693	398	9	by	by	ADP
ejpam-6693	398	10	runge	runge	NOUN
ejpam-6693	398	11	-	-	PUNCT
ejpam-6693	398	12	kutta	kutta	NOUN
ejpam-6693	398	13	method	method	NOUN
ejpam-6693	398	14	of	of	ADP
ejpam-6693	398	15	order	order	NOUN
ejpam-6693	398	16	4	4	NUM
ejpam-6693	398	17	is	be	AUX
ejpam-6693	398	18	given	give	VERB
ejpam-6693	398	19	by	by	ADP
ejpam-6693	398	20	:	:	PUNCT
ejpam-6693	398	21	yk+1	yk+1	PROPN
ejpam-6693	398	22	=	=	PUNCT
ejpam-6693	398	23	yk	yk	PROPN
ejpam-6693	399	1	+	+	CCONJ
ejpam-6693	399	2	25k1	25k1	NUM
ejpam-6693	399	3	216	216	NUM
ejpam-6693	399	4	+	+	CCONJ
ejpam-6693	399	5	1408k2	1408k2	NUM
ejpam-6693	399	6	2565	2565	NUM
ejpam-6693	399	7	+	+	CCONJ
ejpam-6693	399	8	2197k4	2197k4	NOUN
ejpam-6693	399	9	4101	4101	NUM
ejpam-6693	399	10	−	−	NOUN
ejpam-6693	399	11	k5	k5	PROPN
ejpam-6693	399	12	5	5	NUM
ejpam-6693	399	13	where	where	SCONJ
ejpam-6693	399	14	at	at	ADP
ejpam-6693	399	15	each	each	DET
ejpam-6693	399	16	step	step	NOUN
ejpam-6693	399	17	,	,	PUNCT
ejpam-6693	399	18	the	the	DET
ejpam-6693	399	19	following	follow	VERB
ejpam-6693	399	20	six	six	NUM
ejpam-6693	399	21	values	value	NOUN
ejpam-6693	399	22	are	be	AUX
ejpam-6693	399	23	calculated	calculate	VERB
ejpam-6693	399	24	.	.	PUNCT
ejpam-6693	400	1	k1	k1	NOUN
ejpam-6693	400	2	=	=	SYM
ejpam-6693	400	3	hf	hf	PROPN
ejpam-6693	400	4	(	(	PUNCT
ejpam-6693	400	5	tk	tk	PROPN
ejpam-6693	400	6	,	,	PUNCT
ejpam-6693	400	7	yk	yk	PROPN
ejpam-6693	400	8	)	)	PUNCT
ejpam-6693	400	9	k2	k2	PROPN
ejpam-6693	400	10	=	=	SYM
ejpam-6693	400	11	hf	hf	PROPN
ejpam-6693	400	12	(	(	PUNCT
ejpam-6693	400	13	tk	tk	PROPN
ejpam-6693	400	14	+	+	CCONJ
ejpam-6693	400	15	h	h	PROPN
ejpam-6693	400	16	4	4	NUM
ejpam-6693	400	17	,	,	PUNCT
ejpam-6693	400	18	yk	yk	PROPN
ejpam-6693	400	19	+	+	CCONJ
ejpam-6693	400	20	k1	k1	PROPN
ejpam-6693	400	21	4	4	NUM
ejpam-6693	400	22	)	)	PUNCT
ejpam-6693	400	23	k3	k3	PROPN
ejpam-6693	400	24	=	=	SYM
ejpam-6693	400	25	hf	hf	PROPN
ejpam-6693	400	26	(	(	PUNCT
ejpam-6693	400	27	tk	tk	PROPN
ejpam-6693	400	28	+	+	CCONJ
ejpam-6693	400	29	3h	3h	NUM
ejpam-6693	400	30	8	8	NUM
ejpam-6693	400	31	,	,	PUNCT
ejpam-6693	400	32	yk	yk	PROPN
ejpam-6693	400	33	+	+	CCONJ
ejpam-6693	400	34	3k1	3k1	NUM
ejpam-6693	400	35	32	32	NUM
ejpam-6693	400	36	+	+	CCONJ
ejpam-6693	400	37	9k2	9k2	NUM
ejpam-6693	400	38	32	32	NUM
ejpam-6693	400	39	)	)	PUNCT
ejpam-6693	400	40	k4	k4	NOUN
ejpam-6693	400	41	=	=	SYM
ejpam-6693	400	42	hf	hf	PROPN
ejpam-6693	401	1	(	(	PUNCT
ejpam-6693	401	2	tk	tk	PROPN
ejpam-6693	401	3	+	+	PROPN
ejpam-6693	401	4	12h	12h	NUM
ejpam-6693	401	5	13	13	NUM
ejpam-6693	401	6	,	,	PUNCT
ejpam-6693	401	7	yk	yk	PROPN
ejpam-6693	402	1	+	+	CCONJ
ejpam-6693	402	2	1932k1	1932k1	NUM
ejpam-6693	402	3	2197	2197	NUM
ejpam-6693	402	4	−	−	NOUN
ejpam-6693	402	5	7200k2	7200k2	NUM
ejpam-6693	402	6	2197	2197	NUM
ejpam-6693	402	7	+	+	CCONJ
ejpam-6693	402	8	7296k3	7296k3	NOUN
ejpam-6693	402	9	2197	2197	NUM
ejpam-6693	402	10	)	)	PUNCT
ejpam-6693	402	11	k5	k5	PROPN
ejpam-6693	402	12	=	=	PUNCT
ejpam-6693	402	13	hf	hf	PROPN
ejpam-6693	402	14	(	(	PUNCT
ejpam-6693	402	15	tk	tk	PROPN
ejpam-6693	403	1	+	+	CCONJ
ejpam-6693	403	2	h	h	PROPN
ejpam-6693	403	3	,	,	PUNCT
ejpam-6693	403	4	yk	yk	PROPN
ejpam-6693	403	5	+	+	CCONJ
ejpam-6693	403	6	439k1	439k1	NUM
ejpam-6693	403	7	216	216	NUM
ejpam-6693	403	8	−	−	NOUN
ejpam-6693	403	9	8k2	8k2	NUM
ejpam-6693	403	10	+	+	CCONJ
ejpam-6693	403	11	3680k3	3680k3	NUM
ejpam-6693	403	12	513	513	NUM
ejpam-6693	403	13	−	−	NUM
ejpam-6693	403	14	845k4	845k4	NUM
ejpam-6693	403	15	4104	4104	NUM
ejpam-6693	403	16	)	)	PUNCT
ejpam-6693	403	17	k6	k6	NOUN
ejpam-6693	403	18	=	=	SYM
ejpam-6693	403	19	hf	hf	PROPN
ejpam-6693	403	20	(	(	PUNCT
ejpam-6693	403	21	tk	tk	PROPN
ejpam-6693	404	1	+	+	CCONJ
ejpam-6693	404	2	h	h	PROPN
ejpam-6693	404	3	2	2	NUM
ejpam-6693	404	4	,	,	PUNCT
ejpam-6693	404	5	yk	yk	PROPN
ejpam-6693	404	6	−	−	PROPN
ejpam-6693	404	7	8k1	8k1	NUM
ejpam-6693	404	8	27	27	NUM
ejpam-6693	405	1	+	+	CCONJ
ejpam-6693	405	2	2k2	2k2	NUM
ejpam-6693	405	3	−	−	PRON
ejpam-6693	405	4	3544k3	3544k3	NUM
ejpam-6693	405	5	2565	2565	NUM
ejpam-6693	405	6	+	+	CCONJ
ejpam-6693	405	7	1859k4	1859k4	PROPN
ejpam-6693	405	8	4104	4104	NUM
ejpam-6693	405	9	−	−	PROPN
ejpam-6693	405	10	11k5	11k5	NUM
ejpam-6693	405	11	40	40	NUM
ejpam-6693	405	12	)	)	PUNCT
ejpam-6693	405	13	r.	r.	PROPN
ejpam-6693	405	14	m.	m.	PROPN
ejpam-6693	405	15	kamble	kamble	PROPN
ejpam-6693	405	16	,	,	PUNCT
ejpam-6693	405	17	p.	p.	PROPN
ejpam-6693	405	18	r.	r.	PROPN
ejpam-6693	405	19	kulkarni	kulkarni	PROPN
ejpam-6693	405	20	/	/	SYM
ejpam-6693	405	21	eur	eur	PROPN
ejpam-6693	405	22	.	.	PUNCT
ejpam-6693	406	1	j.	j.	PROPN
ejpam-6693	406	2	pure	pure	PROPN
ejpam-6693	406	3	appl	appl	PROPN
ejpam-6693	406	4	.	.	PROPN
ejpam-6693	406	5	math	math	PROPN
ejpam-6693	406	6	,	,	PUNCT
ejpam-6693	406	7	18	18	NUM
ejpam-6693	406	8	(	(	PUNCT
ejpam-6693	406	9	4	4	NUM
ejpam-6693	406	10	)	)	PUNCT
ejpam-6693	406	11	(	(	PUNCT
ejpam-6693	406	12	2025	2025	NUM
ejpam-6693	406	13	)	)	PUNCT
ejpam-6693	406	14	,	,	PUNCT
ejpam-6693	406	15	6693	6693	NUM
ejpam-6693	406	16	17	17	NUM
ejpam-6693	406	17	of	of	ADP
ejpam-6693	406	18	40	40	NUM
ejpam-6693	406	19	a	a	DET
ejpam-6693	406	20	better	well	ADJ
ejpam-6693	406	21	approximate	approximate	ADJ
ejpam-6693	406	22	solution	solution	NOUN
ejpam-6693	406	23	is	be	AUX
ejpam-6693	406	24	given	give	VERB
ejpam-6693	406	25	by	by	ADP
ejpam-6693	406	26	the	the	DET
ejpam-6693	406	27	5th	5th	ADJ
ejpam-6693	406	28	order	order	NOUN
ejpam-6693	406	29	runge	runge	NOUN
ejpam-6693	406	30	-	-	PUNCT
ejpam-6693	406	31	kutta	kutta	PROPN
ejpam-6693	406	32	felhberg	felhberg	PROPN
ejpam-6693	406	33	algorithm	algorithm	PROPN
ejpam-6693	406	34	,	,	PUNCT
ejpam-6693	406	35	which	which	PRON
ejpam-6693	406	36	is	be	AUX
ejpam-6693	406	37	given	give	VERB
ejpam-6693	406	38	by	by	ADP
ejpam-6693	406	39	yk+1	yk+1	NOUN
ejpam-6693	406	40	=	=	PROPN
ejpam-6693	406	41	yk	yk	PROPN
ejpam-6693	406	42	+	+	NOUN
ejpam-6693	406	43	16k1	16k1	NUM
ejpam-6693	406	44	135	135	NUM
ejpam-6693	406	45	+	+	CCONJ
ejpam-6693	406	46	6656k3	6656k3	NUM
ejpam-6693	406	47	12825	12825	NUM
ejpam-6693	407	1	+	+	CCONJ
ejpam-6693	408	1	28561k4	28561k4	NUM
ejpam-6693	408	2	56430	56430	NUM
ejpam-6693	408	3	−	−	NOUN
ejpam-6693	408	4	9k5	9k5	NUM
ejpam-6693	409	1	50	50	NUM
ejpam-6693	409	2	+	+	NUM
ejpam-6693	409	3	2k6	2k6	NUM
ejpam-6693	409	4	55	55	NUM
ejpam-6693	409	5	it	it	PRON
ejpam-6693	409	6	has	have	AUX
ejpam-6693	409	7	been	be	AUX
ejpam-6693	409	8	proved	prove	VERB
ejpam-6693	409	9	that	that	SCONJ
ejpam-6693	409	10	rkfa	rkfa	ADV
ejpam-6693	409	11	provides	provide	VERB
ejpam-6693	409	12	more	more	ADV
ejpam-6693	409	13	accurate	accurate	ADJ
ejpam-6693	409	14	solutions	solution	NOUN
ejpam-6693	409	15	as	as	ADP
ejpam-6693	409	16	compared	compare	VERB
ejpam-6693	409	17	to	to	ADP
ejpam-6693	409	18	the	the	DET
ejpam-6693	409	19	runge	runge	NOUN
ejpam-6693	409	20	-	-	PUNCT
ejpam-6693	409	21	kutta	kutta	NOUN
ejpam-6693	409	22	method	method	NOUN
ejpam-6693	409	23	of	of	ADP
ejpam-6693	409	24	order	order	NOUN
ejpam-6693	409	25	4	4	NUM
ejpam-6693	409	26	.	.	PUNCT
ejpam-6693	410	1	moreover	moreover	ADV
ejpam-6693	410	2	,	,	PUNCT
ejpam-6693	410	3	rkfa	rkfa	PROPN
ejpam-6693	410	4	requires	require	VERB
ejpam-6693	410	5	less	less	ADJ
ejpam-6693	410	6	number	number	NOUN
ejpam-6693	410	7	of	of	ADP
ejpam-6693	410	8	iterations	iteration	NOUN
ejpam-6693	410	9	as	as	SCONJ
ejpam-6693	410	10	compared	compare	VERB
ejpam-6693	410	11	to	to	ADP
ejpam-6693	410	12	the	the	DET
ejpam-6693	410	13	r	r	PROPN
ejpam-6693	410	14	-	-	PUNCT
ejpam-6693	410	15	k	k	PROPN
ejpam-6693	410	16	method	method	NOUN
ejpam-6693	410	17	to	to	PART
ejpam-6693	410	18	arrive	arrive	VERB
ejpam-6693	410	19	at	at	ADP
ejpam-6693	410	20	the	the	DET
ejpam-6693	410	21	desired	desire	VERB
ejpam-6693	410	22	level	level	NOUN
ejpam-6693	410	23	of	of	ADP
ejpam-6693	410	24	accuracy	accuracy	NOUN
ejpam-6693	410	25	.	.	PUNCT
ejpam-6693	411	1	using	use	VERB
ejpam-6693	411	2	the	the	DET
ejpam-6693	411	3	rkfa	rkfa	NOUN
ejpam-6693	411	4	,	,	PUNCT
ejpam-6693	411	5	we	we	PRON
ejpam-6693	411	6	have	have	AUX
ejpam-6693	411	7	obtained	obtain	VERB
ejpam-6693	411	8	the	the	DET
ejpam-6693	411	9	numerical	numerical	ADJ
ejpam-6693	411	10	values	value	NOUN
ejpam-6693	411	11	of	of	ADP
ejpam-6693	411	12	s(t	s(t	PROPN
ejpam-6693	411	13	)	)	PUNCT
ejpam-6693	411	14	,	,	PUNCT
ejpam-6693	411	15	i(t	i(t	PROPN
ejpam-6693	411	16	)	)	PUNCT
ejpam-6693	411	17	and	and	CCONJ
ejpam-6693	411	18	r(t	r(t	NOUN
ejpam-6693	411	19	)	)	PUNCT
ejpam-6693	411	20	and	and	CCONJ
ejpam-6693	411	21	compared	compare	VERB
ejpam-6693	411	22	them	they	PRON
ejpam-6693	411	23	with	with	ADP
ejpam-6693	411	24	the	the	DET
ejpam-6693	411	25	values	value	NOUN
ejpam-6693	411	26	obtained	obtain	VERB
ejpam-6693	411	27	by	by	ADP
ejpam-6693	411	28	fdtm	fdtm	NOUN
ejpam-6693	411	29	and	and	CCONJ
ejpam-6693	411	30	ladm	ladm	VERB
ejpam-6693	411	31	for	for	ADP
ejpam-6693	411	32	the	the	DET
ejpam-6693	411	33	case	case	NOUN
ejpam-6693	411	34	γ	γ	X
ejpam-6693	411	35	=	=	SYM
ejpam-6693	411	36	1	1	NUM
ejpam-6693	411	37	.	.	PUNCT
ejpam-6693	412	1	moreover	moreover	ADV
ejpam-6693	412	2	,	,	PUNCT
ejpam-6693	412	3	we	we	PRON
ejpam-6693	412	4	have	have	AUX
ejpam-6693	412	5	obtained	obtain	VERB
ejpam-6693	412	6	the	the	DET
ejpam-6693	412	7	estimates	estimate	NOUN
ejpam-6693	412	8	of	of	ADP
ejpam-6693	412	9	the	the	DET
ejpam-6693	412	10	errors	error	NOUN
ejpam-6693	412	11	in	in	ADP
ejpam-6693	412	12	these	these	DET
ejpam-6693	412	13	solutions	solution	NOUN
ejpam-6693	412	14	with	with	ADP
ejpam-6693	412	15	respect	respect	NOUN
ejpam-6693	412	16	to	to	ADP
ejpam-6693	412	17	the	the	DET
ejpam-6693	412	18	rkfa	rkfa	PROPN
ejpam-6693	412	19	.	.	PUNCT
ejpam-6693	413	1	the	the	DET
ejpam-6693	413	2	approximate	approximate	ADJ
ejpam-6693	413	3	values	value	NOUN
ejpam-6693	413	4	of	of	ADP
ejpam-6693	413	5	the	the	DET
ejpam-6693	413	6	absolute	absolute	ADJ
ejpam-6693	413	7	errors	error	NOUN
ejpam-6693	413	8	in	in	ADP
ejpam-6693	413	9	s(t	s(t	PROPN
ejpam-6693	413	10	)	)	PUNCT
ejpam-6693	413	11	,	,	PUNCT
ejpam-6693	413	12	i(t	i(t	PROPN
ejpam-6693	413	13	)	)	PUNCT
ejpam-6693	413	14	and	and	CCONJ
ejpam-6693	413	15	r(t	r(t	NOUN
ejpam-6693	413	16	)	)	PUNCT
ejpam-6693	413	17	are	be	AUX
ejpam-6693	413	18	represented	represent	VERB
ejpam-6693	413	19	by	by	ADP
ejpam-6693	413	20	erfdtm	erfdtm	ADJ
ejpam-6693	413	21	[	[	X
ejpam-6693	413	22	s(t	s(t	PROPN
ejpam-6693	413	23	)	)	PUNCT
ejpam-6693	413	24	]	]	PUNCT
ejpam-6693	413	25	,	,	PUNCT
ejpam-6693	413	26	erfdtm	erfdtm	VERB
ejpam-6693	413	27	[	[	X
ejpam-6693	413	28	i(t	i(t	NOUN
ejpam-6693	413	29	)	)	PUNCT
ejpam-6693	413	30	]	]	PUNCT
ejpam-6693	413	31	,	,	PUNCT
ejpam-6693	413	32	erfdtm	erfdtm	VERB
ejpam-6693	413	33	[	[	PUNCT
ejpam-6693	413	34	r(t	r(t	NOUN
ejpam-6693	413	35	)	)	PUNCT
ejpam-6693	413	36	]	]	PUNCT
ejpam-6693	413	37	,	,	PUNCT
ejpam-6693	413	38	etc	etc	X
ejpam-6693	413	39	.	.	X
ejpam-6693	413	40	and	and	CCONJ
ejpam-6693	413	41	are	be	AUX
ejpam-6693	413	42	obtained	obtain	VERB
ejpam-6693	413	43	by	by	ADP
ejpam-6693	413	44	the	the	DET
ejpam-6693	413	45	formulae	formulae	ADJ
ejpam-6693	413	46	erfdtm	erfdtm	VERB
ejpam-6693	413	47	[	[	X
ejpam-6693	413	48	s(t	s(t	PROPN
ejpam-6693	413	49	)	)	PUNCT
ejpam-6693	413	50	]	]	PUNCT
ejpam-6693	414	1	=	=	PUNCT
ejpam-6693	414	2	|s(t)fdtm	|s(t)fdtm	NUM
ejpam-6693	414	3	−	−	PROPN
ejpam-6693	414	4	s(t)rkfa|	s(t)rkfa|	PROPN
ejpam-6693	414	5	erfdtm	erfdtm	ADJ
ejpam-6693	414	6	[	[	X
ejpam-6693	414	7	i(t	i(t	NOUN
ejpam-6693	414	8	)	)	PUNCT
ejpam-6693	414	9	]	]	PUNCT
ejpam-6693	415	1	=	=	PUNCT
ejpam-6693	415	2	|i(t)fdtm	|i(t)fdtm	NUM
ejpam-6693	415	3	−	−	PROPN
ejpam-6693	415	4	i(t)rkfa|	i(t)rkfa|	ADJ
ejpam-6693	415	5	erfdtm	erfdtm	ADJ
ejpam-6693	415	6	[	[	X
ejpam-6693	415	7	r(t	r(t	NOUN
ejpam-6693	415	8	)	)	PUNCT
ejpam-6693	415	9	]	]	PUNCT
ejpam-6693	416	1	=	=	SYM
ejpam-6693	416	2	|r(t)fdtm	|r(t)fdtm	NUM
ejpam-6693	416	3	−	−	PROPN
ejpam-6693	416	4	r(t)rkfa|	r(t)rkfa|	ADJ
ejpam-6693	416	5	erladm	erladm	NOUN
ejpam-6693	416	6	[	[	X
ejpam-6693	416	7	s(t	s(t	PROPN
ejpam-6693	416	8	)	)	PUNCT
ejpam-6693	416	9	]	]	PUNCT
ejpam-6693	417	1	=	=	SYM
ejpam-6693	417	2	|s(t)ladm	|s(t)ladm	NUM
ejpam-6693	418	1	−	−	ADP
ejpam-6693	418	2	s(t)rkfa|	s(t)rkfa|	PROPN
ejpam-6693	418	3	,	,	PUNCT
ejpam-6693	418	4	etc	etc	X
ejpam-6693	418	5	.	.	X
ejpam-6693	419	1	the	the	DET
ejpam-6693	419	2	estimate	estimate	NOUN
ejpam-6693	419	3	of	of	ADP
ejpam-6693	419	4	errors	error	NOUN
ejpam-6693	419	5	in	in	ADP
ejpam-6693	419	6	s(t	s(t	PROPN
ejpam-6693	419	7	)	)	PUNCT
ejpam-6693	419	8	,	,	PUNCT
ejpam-6693	419	9	i(t	i(t	PROPN
ejpam-6693	419	10	)	)	PUNCT
ejpam-6693	419	11	,	,	PUNCT
ejpam-6693	419	12	r(t	r(t	NOUN
ejpam-6693	419	13	)	)	PUNCT
ejpam-6693	419	14	for	for	ADP
ejpam-6693	419	15	γ	γ	X
ejpam-6693	419	16	=	=	SYM
ejpam-6693	419	17	1	1	NUM
ejpam-6693	419	18	are	be	AUX
ejpam-6693	419	19	as	as	SCONJ
ejpam-6693	419	20	shown	show	VERB
ejpam-6693	419	21	in	in	ADP
ejpam-6693	419	22	the	the	DET
ejpam-6693	419	23	tables	table	NOUN
ejpam-6693	419	24	11	11	NUM
ejpam-6693	419	25	,	,	PUNCT
ejpam-6693	419	26	12	12	NUM
ejpam-6693	419	27	,	,	PUNCT
ejpam-6693	419	28	13	13	NUM
ejpam-6693	419	29	.	.	PUNCT
ejpam-6693	419	30	table	table	NOUN
ejpam-6693	419	31	11	11	NUM
ejpam-6693	419	32	:	:	PUNCT
ejpam-6693	419	33	estimate	estimate	NOUN
ejpam-6693	419	34	of	of	ADP
ejpam-6693	419	35	errors	error	NOUN
ejpam-6693	419	36	in	in	ADP
ejpam-6693	419	37	s(t	s(t	PROPN
ejpam-6693	419	38	)	)	PUNCT
ejpam-6693	419	39	for	for	ADP
ejpam-6693	419	40	γ	γ	X
ejpam-6693	419	41	=	=	SYM
ejpam-6693	419	42	1	1	NUM
ejpam-6693	419	43	.	.	X
ejpam-6693	420	1	t	t	PROPN
ejpam-6693	420	2	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	420	3	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	420	4	s(t)rkfa	s(t)rkfa	X
ejpam-6693	420	5	erfdtm[s(t	erfdtm[s(t	NUM
ejpam-6693	420	6	)	)	PUNCT
ejpam-6693	420	7	]	]	PUNCT
ejpam-6693	420	8	erladm[s(t	erladm[s(t	NOUN
ejpam-6693	420	9	)	)	PUNCT
ejpam-6693	420	10	]	]	PUNCT
ejpam-6693	421	1	0.0	0.0	NUM
ejpam-6693	421	2	20.00000000000000	20.00000000000000	NUM
ejpam-6693	421	3	20.00000000000000	20.00000000000000	NUM
ejpam-6693	421	4	20.00000000000000	20.00000000000000	NUM
ejpam-6693	421	5	0.00000000000000	0.00000000000000	NUM
ejpam-6693	421	6	0.00000000000000	0.00000000000000	NUM
ejpam-6693	421	7	0.2	0.2	NUM
ejpam-6693	421	8	19.54610726352000	19.54610726352000	NUM
ejpam-6693	421	9	19.54614439166944	19.54614439166944	NUM
ejpam-6693	421	10	19.546107256391014	19.546107256391014	NUM
ejpam-6693	421	11	0.00000000712900	0.00000000712900	NUM
ejpam-6693	421	12	0.00003713527840	0.00003713527840	NUM
ejpam-6693	421	13	0.4	0.4	NUM
ejpam-6693	421	14	19.10418207232000	19.10418207232000	NUM
ejpam-6693	421	15	19.10447648004224	19.10447648004224	NUM
ejpam-6693	421	16	19.104181955888297	19.104181955888297	NUM
ejpam-6693	421	17	0.00000011643180	0.00000011643180	NUM
ejpam-6693	421	18	0.00029452415400	0.00029452415400	NUM
ejpam-6693	421	19	0.6	0.6	NUM
ejpam-6693	421	20	18.67386287312000	18.67386287312000	NUM
ejpam-6693	421	21	18.67484766521024	18.67484766521024	NUM
ejpam-6693	421	22	18.673862145750277	18.673862145750277	NUM
ejpam-6693	421	23	0.00000072736980	0.00000072736980	NUM
ejpam-6693	421	24	0.00098551946000	0.00098551946000	NUM
ejpam-6693	421	25	0.8	0.8	NUM
ejpam-6693	421	26	18.25480000512000	18.25480000512000	NUM
ejpam-6693	421	27	18.25711338732544	18.25711338732544	NUM
ejpam-6693	421	28	18.254797171108123	18.254797171108123	NUM
ejpam-6693	421	29	0.00000283401190	0.00000283401190	NUM
ejpam-6693	421	30	0.00231621621730	0.00231621621730	NUM
ejpam-6693	421	31	1.0	1.0	NUM
ejpam-6693	421	32	17.84665570000000	17.84665570000000	NUM
ejpam-6693	421	33	17.85113312660000	17.85113312660000	NUM
ejpam-6693	421	34	17.846647378609305	17.846647378609305	NUM
ejpam-6693	421	35	0.00000832139070	0.00000832139070	NUM
ejpam-6693	421	36	0.00448574799070	0.00448574799070	NUM
ejpam-6693	421	37	1.2	1.2	NUM
ejpam-6693	421	38	17.44910408192000	17.44910408192000	NUM
ejpam-6693	421	39	17.45677040330624	17.45677040330624	NUM
ejpam-6693	421	40	17.449083821756879	17.449083821756879	NUM
ejpam-6693	421	41	0.00002026016320	0.00002026016320	NUM
ejpam-6693	421	42	0.00768658154940	0.00768658154940	NUM
ejpam-6693	421	43	1.4	1.4	NUM
ejpam-6693	421	44	17.06183116752001	17.06183116752001	NUM
ejpam-6693	421	45	17.07389277777664	17.07389277777664	NUM
ejpam-6693	421	46	17.061787968569263	17.061787968569263	NUM
ejpam-6693	421	47	0.00004319895080	0.00004319895080	NUM
ejpam-6693	421	48	0.01210480920740	0.01210480920740	NUM
ejpam-6693	421	49	1.6	1.6	NUM
ejpam-6693	421	50	16.68453486592000	16.68453486592000	NUM
ejpam-6693	421	51	16.70237185040384	16.70237185040384	NUM
ejpam-6693	421	52	16.684451412115802	16.684451412115802	NUM
ejpam-6693	421	53	0.00008345380420	0.00008345380420	NUM
ejpam-6693	421	54	0.01792043828800	0.01792043828800	NUM
ejpam-6693	421	55	1.8	1.8	NUM
ejpam-6693	421	56	16.31692497872000	16.31692497872000	NUM
ejpam-6693	421	57	16.34208326164064	16.34208326164064	NUM
ejpam-6693	421	58	16.316775584419219	16.316775584419219	NUM
ejpam-6693	421	59	0.00014939430080	0.00014939430080	NUM
ejpam-6693	421	60	0.02530767722140	0.02530767722140	NUM
ejpam-6693	421	61	2.0	2.0	NUM
ejpam-6693	421	62	15.95872320000000	15.95872320000000	NUM
ejpam-6693	421	63	15.99290669200000	15.99290669200000	NUM
ejpam-6693	421	64	15.958471474156529	15.958471474156529	NUM
ejpam-6693	421	65	0.00025172584350	0.00025172584350	NUM
ejpam-6693	421	66	0.03443521784350	0.03443521784350	NUM
ejpam-6693	421	67	r.	r.	PROPN
ejpam-6693	421	68	m.	m.	PROPN
ejpam-6693	421	69	kamble	kamble	PROPN
ejpam-6693	421	70	,	,	PUNCT
ejpam-6693	421	71	p.	p.	PROPN
ejpam-6693	421	72	r.	r.	PROPN
ejpam-6693	421	73	kulkarni	kulkarni	PROPN
ejpam-6693	421	74	/	/	SYM
ejpam-6693	421	75	eur	eur	PROPN
ejpam-6693	421	76	.	.	PUNCT
ejpam-6693	422	1	j.	j.	PROPN
ejpam-6693	422	2	pure	pure	PROPN
ejpam-6693	422	3	appl	appl	PROPN
ejpam-6693	422	4	.	.	PROPN
ejpam-6693	422	5	math	math	PROPN
ejpam-6693	422	6	,	,	PUNCT
ejpam-6693	422	7	18	18	NUM
ejpam-6693	422	8	(	(	PUNCT
ejpam-6693	422	9	4	4	NUM
ejpam-6693	422	10	)	)	PUNCT
ejpam-6693	422	11	(	(	PUNCT
ejpam-6693	422	12	2025	2025	NUM
ejpam-6693	422	13	)	)	PUNCT
ejpam-6693	422	14	,	,	PUNCT
ejpam-6693	422	15	6693	6693	NUM
ejpam-6693	422	16	18	18	NUM
ejpam-6693	422	17	of	of	ADP
ejpam-6693	422	18	40	40	NUM
ejpam-6693	422	19	table	table	NOUN
ejpam-6693	422	20	12	12	NUM
ejpam-6693	422	21	:	:	PUNCT
ejpam-6693	422	22	estimate	estimate	NOUN
ejpam-6693	422	23	of	of	ADP
ejpam-6693	422	24	errors	error	NOUN
ejpam-6693	422	25	in	in	ADP
ejpam-6693	422	26	i(t	i(t	NOUN
ejpam-6693	422	27	)	)	PUNCT
ejpam-6693	422	28	for	for	ADP
ejpam-6693	422	29	γ	γ	X
ejpam-6693	422	30	=	=	SYM
ejpam-6693	422	31	1	1	NUM
ejpam-6693	422	32	.	.	X
ejpam-6693	422	33	t	t	PROPN
ejpam-6693	422	34	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	422	35	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	422	36	i(t)rkfa	i(t)rkfa	X
ejpam-6693	422	37	erfdtm[i(t	erfdtm[i(t	NOUN
ejpam-6693	422	38	)	)	PUNCT
ejpam-6693	422	39	]	]	PUNCT
ejpam-6693	422	40	erladm[i(t	erladm[i(t	NUM
ejpam-6693	422	41	)	)	PUNCT
ejpam-6693	422	42	]	]	PUNCT
ejpam-6693	423	1	0.0	0.0	NUM
ejpam-6693	423	2	15.00000000000000	15.00000000000000	NUM
ejpam-6693	423	3	15.00000000000000	15.00000000000000	NUM
ejpam-6693	423	4	15.00000000000000	15.00000000000000	NUM
ejpam-6693	423	5	0.00000000000000	0.00000000000000	NUM
ejpam-6693	423	6	0.00000000000000	0.00000000000000	NUM
ejpam-6693	423	7	0.2	0.2	NUM
ejpam-6693	423	8	14.56187524624000	14.56187524624000	NUM
ejpam-6693	423	9	14.56183361563552	14.56183361563552	NUM
ejpam-6693	423	10	14.561875256612106	14.561875256612106	NUM
ejpam-6693	423	11	0.00000001037210	0.00000001037210	NUM
ejpam-6693	423	12	0.00004164097660	0.00004164097660	NUM
ejpam-6693	423	13	0.4	0.4	NUM
ejpam-6693	423	14	14.12767677184000	14.12767677184000	NUM
ejpam-6693	423	15	14.12734652483712	14.12734652483712	NUM
ejpam-6693	423	16	14.127676929730777	14.127676929730777	NUM
ejpam-6693	423	17	0.00000015789070	0.00000015789070	NUM
ejpam-6693	423	18	0.00033040489360	0.00033040489360	NUM
ejpam-6693	423	19	0.6	0.6	NUM
ejpam-6693	423	20	13.69765656144000	13.69765656144000	NUM
ejpam-6693	423	21	13.69655142049152	13.69655142049152	NUM
ejpam-6693	423	22	13.697657518861158	13.697657518861158	NUM
ejpam-6693	423	23	0.00000095742110	0.00000095742110	NUM
ejpam-6693	423	24	0.00110609836960	0.00110609836960	NUM
ejpam-6693	423	25	0.8	0.8	NUM
ejpam-6693	423	26	13.27205100544000	13.27205100544000	NUM
ejpam-6693	423	27	13.26945379474432	13.26945379474432	NUM
ejpam-6693	423	28	13.272054690053119	13.272054690053119	NUM
ejpam-6693	423	29	0.00000368461310	0.00000368461310	NUM
ejpam-6693	423	30	0.00260089530880	0.00260089530880	NUM
ejpam-6693	423	31	1.0	1.0	NUM
ejpam-6693	423	32	12.85108090000000	12.85108090000000	NUM
ejpam-6693	423	33	12.84605193900000	12.84605193900000	NUM
ejpam-6693	423	34	12.851091662011378	12.851091662011378	NUM
ejpam-6693	423	35	0.00001076201130	0.00001076201130	NUM
ejpam-6693	423	36	0.00503972301130	0.00503972301130	NUM
ejpam-6693	423	37	1.2	1.2	NUM
ejpam-6693	423	38	12.43495144704000	12.43495144704000	NUM
ejpam-6693	423	39	12.42633694392192	12.42633694392192	NUM
ejpam-6693	423	40	12.538540600282305	12.538540600282305	NUM
ejpam-6693	423	41	0.10358915324230	0.10358915324230	NUM
ejpam-6693	423	42	0.11220365636040	0.11220365636040	NUM
ejpam-6693	423	43	1.4	1.4	NUM
ejpam-6693	423	44	12.02385225424000	12.02385225424000	NUM
ejpam-6693	423	45	12.01029269943232	12.01029269943232	NUM
ejpam-6693	423	46	12.023907974631463	12.023907974631463	NUM
ejpam-6693	423	47	0.00005572039140	0.00005572039140	NUM
ejpam-6693	423	48	0.01361527519910	0.01361527519910	NUM
ejpam-6693	423	49	1.6	1.6	NUM
ejpam-6693	423	50	11.61795733504000	11.61795733504000	NUM
ejpam-6693	423	51	11.59789589471232	11.59789589471232	NUM
ejpam-6693	423	52	11.618065010548600	11.618065010548600	NUM
ejpam-6693	423	53	0.00010767550860	0.00010767550860	NUM
ejpam-6693	423	54	0.02016911583630	0.02016911583630	NUM
ejpam-6693	423	55	1.8	1.8	NUM
ejpam-6693	423	56	11.21742510864000	11.21742510864000	NUM
ejpam-6693	423	57	11.18911601820192	11.18911601820192	NUM
ejpam-6693	423	58	11.217618014408080	11.217618014408080	NUM
ejpam-6693	423	59	0.00019290576800	0.00019290576800	NUM
ejpam-6693	423	60	0.02850199620610	0.02850199620610	NUM
ejpam-6693	423	61	2.0	2.0	NUM
ejpam-6693	423	62	10.82239840000000	10.82239840000000	NUM
ejpam-6693	423	63	10.78391535760000	10.78391535760000	NUM
ejpam-6693	423	64	10.822723791238749	10.822723791238749	NUM
ejpam-6693	423	65	0.00032539123870	0.00032539123870	NUM
ejpam-6693	423	66	0.03880843363870	0.03880843363870	NUM
ejpam-6693	423	67	table	table	NOUN
ejpam-6693	423	68	13	13	NUM
ejpam-6693	423	69	:	:	PUNCT
ejpam-6693	423	70	estimate	estimate	NOUN
ejpam-6693	423	71	of	of	ADP
ejpam-6693	423	72	errors	error	NOUN
ejpam-6693	423	73	in	in	ADP
ejpam-6693	423	74	r(t	r(t	NOUN
ejpam-6693	423	75	)	)	PUNCT
ejpam-6693	423	76	for	for	ADP
ejpam-6693	423	77	γ	γ	X
ejpam-6693	423	78	=	=	SYM
ejpam-6693	423	79	1	1	NUM
ejpam-6693	423	80	.	.	X
ejpam-6693	424	1	t	t	NOUN
ejpam-6693	424	2	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	424	3	r(t)ladm	r(t)ladm	NOUN
ejpam-6693	424	4	r(t)rkfa	r(t)rkfa	NOUN
ejpam-6693	424	5	erfdtm[r(t	erfdtm[r(t	NUM
ejpam-6693	424	6	)	)	PUNCT
ejpam-6693	424	7	]	]	PUNCT
ejpam-6693	424	8	erladm[r(t	erladm[r(t	NUM
ejpam-6693	424	9	)	)	PUNCT
ejpam-6693	424	10	]	]	PUNCT
ejpam-6693	424	11	0.0	0.0	NUM
ejpam-6693	424	12	10.00000000000000	10.00000000000000	NUM
ejpam-6693	424	13	10.00000000000000	10.00000000000000	NUM
ejpam-6693	424	14	10.00000000000000	10.00000000000000	NUM
ejpam-6693	424	15	0.00000000000000	0.00000000000000	NUM
ejpam-6693	424	16	0.00000000000000	0.00000000000000	NUM
ejpam-6693	424	17	0.2	0.2	NUM
ejpam-6693	424	18	10.09464816544000	10.09464816544000	NUM
ejpam-6693	424	19	10.09464817778578	10.09464817778578	NUM
ejpam-6693	424	20	10.094648185984170	10.094648185984170	NUM
ejpam-6693	425	1	0.00000002054410	0.00000002054410	NUM
ejpam-6693	425	2	0.00000000819840	0.00000000819840	NUM
ejpam-6693	425	3	0.4	0.4	NUM
ejpam-6693	425	4	10.17878504704000	10.17878504704000	NUM
ejpam-6693	425	5	10.17878524457242	10.17878524457242	NUM
ejpam-6693	425	6	10.178785335767941	10.178785335767941	NUM
ejpam-6693	425	7	0.00000028872790	0.00000028872790	NUM
ejpam-6693	425	8	0.00000009119550	0.00000009119550	NUM
ejpam-6693	425	9	0.6	0.6	NUM
ejpam-6693	425	10	10.25269860064000	10.25269860064000	NUM
ejpam-6693	425	11	10.25269960064786	10.25269960064786	NUM
ejpam-6693	425	12	10.252699863108273	10.252699863108273	NUM
ejpam-6693	425	13	0.00000126246820	0.00000126246820	NUM
ejpam-6693	425	14	0.00000026246040	0.00000026246040	NUM
ejpam-6693	425	15	0.8	0.8	NUM
ejpam-6693	425	16	10.31667595264000	10.31667595264000	NUM
ejpam-6693	425	17	10.31667911315866	10.31667911315866	NUM
ejpam-6693	425	18	10.316679322626605	10.316679322626605	NUM
ejpam-6693	425	19	0.00000336998660	0.00000336998660	NUM
ejpam-6693	425	20	0.00000020946800	0.00000020946800	NUM
ejpam-6693	425	21	1.0	1.0	NUM
ejpam-6693	425	22	10.37100340000000	10.37100340000000	NUM
ejpam-6693	425	23	10.37101111611000	10.37101111611000	NUM
ejpam-6693	425	24	10.371010136930472	10.371010136930472	NUM
ejpam-6693	425	25	0.00000673693040	0.00000673693040	NUM
ejpam-6693	425	26	0.00000097917960	0.00000097917960	NUM
ejpam-6693	425	27	1.2	1.2	NUM
ejpam-6693	425	28	10.41596641024000	10.41596641024000	NUM
ejpam-6693	425	29	10.41598241036570	10.41598241036570	NUM
ejpam-6693	425	30	10.415977336803497	10.415977336803497	NUM
ejpam-6693	425	31	0.00001092656340	0.00001092656340	NUM
ejpam-6693	425	32	0.00000507356230	0.00000507356230	NUM
ejpam-6693	425	33	1.4	1.4	NUM
ejpam-6693	425	34	10.45184962144000	10.45184962144000	NUM
ejpam-6693	425	35	10.45187926364818	10.45187926364818	NUM
ejpam-6693	425	36	10.451864314231031	10.451864314231031	NUM
ejpam-6693	425	37	0.00001469279100	0.00001469279100	NUM
ejpam-6693	425	38	0.00001494941710	0.00001494941710	NUM
ejpam-6693	425	39	1.6	1.6	NUM
ejpam-6693	425	40	10.47893684224000	10.47893684224000	NUM
ejpam-6693	425	41	10.47898741053850	10.47898741053850	NUM
ejpam-6693	425	42	10.478952588015369	10.478952588015369	NUM
ejpam-6693	426	1	0.00001574577530	0.00001574577530	NUM
ejpam-6693	426	2	0.00003482252320	0.00003482252320	NUM
ejpam-6693	426	3	1.8	1.8	NUM
ejpam-6693	426	4	10.49751105184000	10.49751105184000	NUM
ejpam-6693	426	5	10.49759205247634	10.49759205247634	NUM
ejpam-6693	426	6	10.497521581722806	10.497521581722806	NUM
ejpam-6693	426	7	0.00001052988280	0.00001052988280	NUM
ejpam-6693	426	8	0.00007047075350	0.00007047075350	NUM
ejpam-6693	426	9	2.0	2.0	NUM
ejpam-6693	426	10	10.50785440000000	10.50785440000000	NUM
ejpam-6693	426	11	10.50797785776000	10.50797785776000	NUM
ejpam-6693	426	12	10.507848413694944	10.507848413694944	NUM
ejpam-6693	426	13	0.00000598630510	0.00000598630510	NUM
ejpam-6693	426	14	0.00012944406510	0.00012944406510	NUM
ejpam-6693	426	15	10	10	NUM
ejpam-6693	426	16	.	.	PUNCT
ejpam-6693	426	17	results	result	NOUN
ejpam-6693	426	18	and	and	CCONJ
ejpam-6693	426	19	discussion	discussion	NOUN
ejpam-6693	426	20	in	in	ADP
ejpam-6693	426	21	the	the	DET
ejpam-6693	426	22	second	second	ADJ
ejpam-6693	426	23	section	section	NOUN
ejpam-6693	426	24	of	of	ADP
ejpam-6693	426	25	this	this	DET
ejpam-6693	426	26	paper	paper	NOUN
ejpam-6693	426	27	,	,	PUNCT
ejpam-6693	426	28	we	we	PRON
ejpam-6693	426	29	have	have	AUX
ejpam-6693	426	30	formulated	formulate	VERB
ejpam-6693	426	31	the	the	DET
ejpam-6693	426	32	non	non	ADJ
ejpam-6693	426	33	-	-	ADJ
ejpam-6693	426	34	linear	linear	ADJ
ejpam-6693	426	35	fractional	fractional	ADJ
ejpam-6693	426	36	order	order	NOUN
ejpam-6693	426	37	sir	sir	NOUN
ejpam-6693	426	38	model	model	NOUN
ejpam-6693	426	39	of	of	ADP
ejpam-6693	426	40	computer	computer	NOUN
ejpam-6693	426	41	viruses	virus	NOUN
ejpam-6693	426	42	with	with	ADP
ejpam-6693	426	43	the	the	DET
ejpam-6693	426	44	specific	specific	ADJ
ejpam-6693	426	45	initial	initial	ADJ
ejpam-6693	426	46	conditions	condition	NOUN
ejpam-6693	426	47	as	as	SCONJ
ejpam-6693	426	48	described	describe	VERB
ejpam-6693	426	49	by	by	ADP
ejpam-6693	426	50	the	the	DET
ejpam-6693	426	51	table	table	NOUN
ejpam-6693	426	52	1	1	NUM
ejpam-6693	426	53	.	.	PUNCT
ejpam-6693	427	1	in	in	ADP
ejpam-6693	427	2	the	the	DET
ejpam-6693	427	3	third	third	ADJ
ejpam-6693	427	4	section	section	NOUN
ejpam-6693	427	5	,	,	PUNCT
ejpam-6693	427	6	we	we	PRON
ejpam-6693	427	7	concluded	conclude	VERB
ejpam-6693	427	8	that	that	SCONJ
ejpam-6693	427	9	the	the	DET
ejpam-6693	427	10	system	system	NOUN
ejpam-6693	427	11	of	of	ADP
ejpam-6693	427	12	equations	equation	NOUN
ejpam-6693	427	13	1	1	NUM
ejpam-6693	427	14	is	be	AUX
ejpam-6693	427	15	asymptotically	asymptotically	ADV
ejpam-6693	427	16	stable	stable	ADJ
ejpam-6693	427	17	.	.	PUNCT
ejpam-6693	428	1	in	in	ADP
ejpam-6693	428	2	the	the	DET
ejpam-6693	428	3	sixth	sixth	ADJ
ejpam-6693	428	4	section	section	NOUN
ejpam-6693	428	5	,	,	PUNCT
ejpam-6693	428	6	we	we	PRON
ejpam-6693	428	7	have	have	AUX
ejpam-6693	428	8	obtained	obtain	VERB
ejpam-6693	428	9	the	the	DET
ejpam-6693	428	10	numerical	numerical	ADJ
ejpam-6693	428	11	values	value	NOUN
ejpam-6693	428	12	of	of	ADP
ejpam-6693	428	13	the	the	DET
ejpam-6693	428	14	solutions	solution	NOUN
ejpam-6693	428	15	which	which	PRON
ejpam-6693	428	16	are	be	AUX
ejpam-6693	428	17	given	give	VERB
ejpam-6693	428	18	by	by	ADP
ejpam-6693	428	19	the	the	DET
ejpam-6693	428	20	equations	equation	NOUN
ejpam-6693	428	21	(	(	PUNCT
ejpam-6693	428	22	15	15	NUM
ejpam-6693	428	23	)	)	PUNCT
ejpam-6693	428	24	and	and	CCONJ
ejpam-6693	428	25	(	(	PUNCT
ejpam-6693	428	26	16	16	NUM
ejpam-6693	428	27	)	)	PUNCT
ejpam-6693	428	28	for	for	ADP
ejpam-6693	428	29	the	the	DET
ejpam-6693	428	30	cases	case	NOUN
ejpam-6693	428	31	γ	γ	X
ejpam-6693	428	32	=	=	SYM
ejpam-6693	428	33	0.1	0.1	NUM
ejpam-6693	428	34	,	,	PUNCT
ejpam-6693	428	35	0.5	0.5	NUM
ejpam-6693	428	36	.	.	PUNCT
ejpam-6693	429	1	whereas	whereas	SCONJ
ejpam-6693	429	2	using	use	VERB
ejpam-6693	429	3	the	the	DET
ejpam-6693	429	4	fdtm	fdtm	NOUN
ejpam-6693	429	5	the	the	DET
ejpam-6693	429	6	solutions	solution	NOUN
ejpam-6693	429	7	are	be	AUX
ejpam-6693	429	8	obtained	obtain	VERB
ejpam-6693	429	9	for	for	ADP
ejpam-6693	429	10	the	the	DET
ejpam-6693	429	11	cases	case	NOUN
ejpam-6693	429	12	γ	γ	X
ejpam-6693	429	13	=	=	SYM
ejpam-6693	429	14	0.1	0.1	NUM
ejpam-6693	429	15	,	,	PUNCT
ejpam-6693	429	16	0.5	0.5	NUM
ejpam-6693	429	17	as	as	SCONJ
ejpam-6693	429	18	given	give	VERB
ejpam-6693	429	19	by	by	ADP
ejpam-6693	429	20	equations	equation	NOUN
ejpam-6693	429	21	(	(	PUNCT
ejpam-6693	429	22	19	19	NUM
ejpam-6693	429	23	)	)	PUNCT
ejpam-6693	429	24	and	and	CCONJ
ejpam-6693	429	25	(	(	PUNCT
ejpam-6693	429	26	20	20	NUM
ejpam-6693	429	27	)	)	PUNCT
ejpam-6693	429	28	.	.	PUNCT
ejpam-6693	430	1	to	to	PART
ejpam-6693	430	2	have	have	VERB
ejpam-6693	430	3	a	a	DET
ejpam-6693	430	4	better	well	ADJ
ejpam-6693	430	5	understanding	understanding	NOUN
ejpam-6693	430	6	of	of	ADP
ejpam-6693	430	7	the	the	DET
ejpam-6693	430	8	solution	solution	NOUN
ejpam-6693	430	9	curves	curve	NOUN
ejpam-6693	430	10	and	and	CCONJ
ejpam-6693	430	11	errors	error	NOUN
ejpam-6693	430	12	,	,	PUNCT
ejpam-6693	430	13	we	we	PRON
ejpam-6693	430	14	have	have	AUX
ejpam-6693	430	15	compared	compare	VERB
ejpam-6693	430	16	the	the	DET
ejpam-6693	430	17	numerical	numerical	ADJ
ejpam-6693	430	18	values	value	NOUN
ejpam-6693	430	19	obtained	obtain	VERB
ejpam-6693	430	20	by	by	ADP
ejpam-6693	430	21	fdtm	fdtm	NOUN
ejpam-6693	430	22	and	and	CCONJ
ejpam-6693	430	23	ladm	ladm	ADJ
ejpam-6693	430	24	with	with	ADP
ejpam-6693	430	25	those	those	PRON
ejpam-6693	430	26	obtained	obtain	VERB
ejpam-6693	430	27	by	by	ADP
ejpam-6693	430	28	rkfa	rkfa	PROPN
ejpam-6693	430	29	.	.	PUNCT
ejpam-6693	431	1	as	as	SCONJ
ejpam-6693	431	2	can	can	AUX
ejpam-6693	431	3	be	be	AUX
ejpam-6693	431	4	noticed	notice	VERB
ejpam-6693	431	5	,	,	PUNCT
ejpam-6693	431	6	we	we	PRON
ejpam-6693	431	7	do	do	AUX
ejpam-6693	431	8	n’t	not	PART
ejpam-6693	431	9	get	get	VERB
ejpam-6693	431	10	a	a	DET
ejpam-6693	431	11	clear	clear	ADJ
ejpam-6693	431	12	picture	picture	NOUN
ejpam-6693	431	13	of	of	ADP
ejpam-6693	431	14	the	the	DET
ejpam-6693	431	15	solutions	solution	NOUN
ejpam-6693	431	16	and	and	CCONJ
ejpam-6693	431	17	the	the	DET
ejpam-6693	431	18	errors	error	NOUN
ejpam-6693	431	19	just	just	ADV
ejpam-6693	431	20	from	from	ADP
ejpam-6693	431	21	the	the	DET
ejpam-6693	431	22	tabulated	tabulate	VERB
ejpam-6693	431	23	values	value	NOUN
ejpam-6693	431	24	.	.	PUNCT
ejpam-6693	432	1	for	for	ADP
ejpam-6693	432	2	a	a	DET
ejpam-6693	432	3	better	well	ADJ
ejpam-6693	432	4	understanding	understanding	NOUN
ejpam-6693	432	5	of	of	ADP
ejpam-6693	432	6	the	the	DET
ejpam-6693	432	7	system	system	NOUN
ejpam-6693	432	8	,	,	PUNCT
ejpam-6693	432	9	we	we	PRON
ejpam-6693	432	10	plot	plot	VERB
ejpam-6693	432	11	the	the	DET
ejpam-6693	432	12	graphs	graph	NOUN
ejpam-6693	432	13	of	of	ADP
ejpam-6693	432	14	the	the	DET
ejpam-6693	432	15	approximate	approximate	ADJ
ejpam-6693	432	16	solutions	solution	NOUN
ejpam-6693	432	17	and	and	CCONJ
ejpam-6693	432	18	errors	error	NOUN
ejpam-6693	432	19	for	for	ADP
ejpam-6693	432	20	different	different	ADJ
ejpam-6693	432	21	values	value	NOUN
ejpam-6693	432	22	of	of	ADP
ejpam-6693	432	23	γ	γ	PROPN
ejpam-6693	432	24	.	.	PROPN
ejpam-6693	432	25	r.	r.	PROPN
ejpam-6693	432	26	m.	m.	PROPN
ejpam-6693	432	27	kamble	kamble	PROPN
ejpam-6693	432	28	,	,	PUNCT
ejpam-6693	432	29	p.	p.	PROPN
ejpam-6693	432	30	r.	r.	PROPN
ejpam-6693	433	1	kulkarni	kulkarni	PROPN
ejpam-6693	433	2	/	/	SYM
ejpam-6693	433	3	eur	eur	PROPN
ejpam-6693	433	4	.	.	PUNCT
ejpam-6693	434	1	j.	j.	PROPN
ejpam-6693	434	2	pure	pure	PROPN
ejpam-6693	434	3	appl	appl	PROPN
ejpam-6693	434	4	.	.	PROPN
ejpam-6693	434	5	math	math	PROPN
ejpam-6693	434	6	,	,	PUNCT
ejpam-6693	434	7	18	18	NUM
ejpam-6693	434	8	(	(	PUNCT
ejpam-6693	434	9	4	4	NUM
ejpam-6693	434	10	)	)	PUNCT
ejpam-6693	434	11	(	(	PUNCT
ejpam-6693	434	12	2025	2025	NUM
ejpam-6693	434	13	)	)	PUNCT
ejpam-6693	434	14	,	,	PUNCT
ejpam-6693	434	15	6693	6693	NUM
ejpam-6693	434	16	19	19	NUM
ejpam-6693	434	17	of	of	ADP
ejpam-6693	434	18	40	40	NUM
ejpam-6693	434	19	figure	figure	NOUN
ejpam-6693	434	20	1	1	NUM
ejpam-6693	434	21	:	:	PUNCT
ejpam-6693	434	22	comparison	comparison	NOUN
ejpam-6693	434	23	of	of	ADP
ejpam-6693	434	24	graphs	graph	NOUN
ejpam-6693	434	25	of	of	ADP
ejpam-6693	434	26	s(t	s(t	PROPN
ejpam-6693	434	27	)	)	PUNCT
ejpam-6693	434	28	by	by	ADP
ejpam-6693	434	29	fdtm	fdtm	NOUN
ejpam-6693	434	30	and	and	CCONJ
ejpam-6693	434	31	ladm	ladm	VERB
ejpam-6693	434	32	for	for	ADP
ejpam-6693	434	33	γ	γ	X
ejpam-6693	434	34	=	=	SYM
ejpam-6693	434	35	0.1	0.1	NUM
ejpam-6693	434	36	0	0	NUM
ejpam-6693	434	37	5	5	NUM
ejpam-6693	434	38	10	10	NUM
ejpam-6693	434	39	15	15	NUM
ejpam-6693	434	40	20	20	NUM
ejpam-6693	434	41	25	25	NUM
ejpam-6693	434	42	30	30	NUM
ejpam-6693	434	43	17	17	NUM
ejpam-6693	434	44	17.5	17.5	NUM
ejpam-6693	434	45	18	18	NUM
ejpam-6693	434	46	18.5	18.5	NUM
ejpam-6693	434	47	19	19	NUM
ejpam-6693	434	48	19.5	19.5	NUM
ejpam-6693	434	49	20	20	NUM
ejpam-6693	434	50	s(t	s(t	PROPN
ejpam-6693	434	51	)	)	PUNCT
ejpam-6693	434	52	by	by	ADP
ejpam-6693	434	53	fdtm	fdtm	NOUN
ejpam-6693	434	54	and	and	CCONJ
ejpam-6693	434	55	ladm	ladm	ADJ
ejpam-6693	434	56	for	for	ADP
ejpam-6693	434	57	γ=0.1	γ=0.1	NOUN
ejpam-6693	434	58	t	t	PROPN
ejpam-6693	434	59	s	s	PART
ejpam-6693	434	60	(	(	PUNCT
ejpam-6693	434	61	t	t	PROPN
ejpam-6693	434	62	)	)	PUNCT
ejpam-6693	434	63	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	434	64	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	434	65	r.	r.	PROPN
ejpam-6693	434	66	m.	m.	PROPN
ejpam-6693	434	67	kamble	kamble	PROPN
ejpam-6693	434	68	,	,	PUNCT
ejpam-6693	434	69	p.	p.	PROPN
ejpam-6693	434	70	r.	r.	PROPN
ejpam-6693	434	71	kulkarni	kulkarni	PROPN
ejpam-6693	434	72	/	/	SYM
ejpam-6693	434	73	eur	eur	PROPN
ejpam-6693	434	74	.	.	PUNCT
ejpam-6693	435	1	j.	j.	PROPN
ejpam-6693	435	2	pure	pure	PROPN
ejpam-6693	435	3	appl	appl	PROPN
ejpam-6693	435	4	.	.	PROPN
ejpam-6693	435	5	math	math	PROPN
ejpam-6693	435	6	,	,	PUNCT
ejpam-6693	435	7	18	18	NUM
ejpam-6693	435	8	(	(	PUNCT
ejpam-6693	435	9	4	4	NUM
ejpam-6693	435	10	)	)	PUNCT
ejpam-6693	435	11	(	(	PUNCT
ejpam-6693	435	12	2025	2025	NUM
ejpam-6693	435	13	)	)	PUNCT
ejpam-6693	435	14	,	,	PUNCT
ejpam-6693	435	15	6693	6693	NUM
ejpam-6693	435	16	20	20	NUM
ejpam-6693	435	17	of	of	ADP
ejpam-6693	435	18	40	40	NUM
ejpam-6693	435	19	figure	figure	NOUN
ejpam-6693	435	20	2	2	NUM
ejpam-6693	435	21	:	:	PUNCT
ejpam-6693	435	22	comparison	comparison	NOUN
ejpam-6693	435	23	of	of	ADP
ejpam-6693	435	24	graphs	graph	NOUN
ejpam-6693	435	25	of	of	ADP
ejpam-6693	435	26	i(t	i(t	NOUN
ejpam-6693	435	27	)	)	PUNCT
ejpam-6693	435	28	by	by	ADP
ejpam-6693	435	29	fdtm	fdtm	NOUN
ejpam-6693	435	30	and	and	CCONJ
ejpam-6693	435	31	ladm	ladm	VERB
ejpam-6693	435	32	for	for	ADP
ejpam-6693	435	33	γ	γ	X
ejpam-6693	435	34	=	=	SYM
ejpam-6693	435	35	0.1	0.1	NUM
ejpam-6693	435	36	0	0	NUM
ejpam-6693	435	37	5	5	NUM
ejpam-6693	435	38	10	10	NUM
ejpam-6693	435	39	15	15	NUM
ejpam-6693	435	40	20	20	NUM
ejpam-6693	435	41	25	25	NUM
ejpam-6693	435	42	30	30	NUM
ejpam-6693	435	43	11.5	11.5	NUM
ejpam-6693	435	44	12	12	NUM
ejpam-6693	435	45	12.5	12.5	NUM
ejpam-6693	435	46	13	13	NUM
ejpam-6693	435	47	13.5	13.5	NUM
ejpam-6693	435	48	14	14	NUM
ejpam-6693	435	49	14.5	14.5	NUM
ejpam-6693	435	50	15	15	NUM
ejpam-6693	435	51	i(t	i(t	NOUN
ejpam-6693	435	52	)	)	PUNCT
ejpam-6693	435	53	by	by	ADP
ejpam-6693	435	54	fdtm	fdtm	NOUN
ejpam-6693	435	55	and	and	CCONJ
ejpam-6693	435	56	ladm	ladm	ADJ
ejpam-6693	435	57	for	for	ADP
ejpam-6693	435	58	γ=0.1	γ=0.1	NOUN
ejpam-6693	435	59	t	t	PROPN
ejpam-6693	436	1	i	i	PROPN
ejpam-6693	436	2	(	(	PUNCT
ejpam-6693	436	3	t	t	PROPN
ejpam-6693	436	4	)	)	PUNCT
ejpam-6693	436	5	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	436	6	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	436	7	r.	r.	PROPN
ejpam-6693	436	8	m.	m.	PROPN
ejpam-6693	436	9	kamble	kamble	PROPN
ejpam-6693	436	10	,	,	PUNCT
ejpam-6693	437	1	p.	p.	PROPN
ejpam-6693	437	2	r.	r.	PROPN
ejpam-6693	438	1	kulkarni	kulkarni	PROPN
ejpam-6693	438	2	/	/	SYM
ejpam-6693	438	3	eur	eur	PROPN
ejpam-6693	438	4	.	.	PUNCT
ejpam-6693	439	1	j.	j.	PROPN
ejpam-6693	439	2	pure	pure	PROPN
ejpam-6693	439	3	appl	appl	PROPN
ejpam-6693	439	4	.	.	PROPN
ejpam-6693	439	5	math	math	PROPN
ejpam-6693	439	6	,	,	PUNCT
ejpam-6693	439	7	18	18	NUM
ejpam-6693	439	8	(	(	PUNCT
ejpam-6693	439	9	4	4	NUM
ejpam-6693	439	10	)	)	PUNCT
ejpam-6693	439	11	(	(	PUNCT
ejpam-6693	439	12	2025	2025	NUM
ejpam-6693	439	13	)	)	PUNCT
ejpam-6693	439	14	,	,	PUNCT
ejpam-6693	439	15	6693	6693	NUM
ejpam-6693	439	16	21	21	NUM
ejpam-6693	439	17	of	of	ADP
ejpam-6693	439	18	40	40	NUM
ejpam-6693	439	19	figure	figure	NOUN
ejpam-6693	439	20	3	3	NUM
ejpam-6693	439	21	:	:	PUNCT
ejpam-6693	439	22	comparison	comparison	NOUN
ejpam-6693	439	23	of	of	ADP
ejpam-6693	439	24	graphs	graph	NOUN
ejpam-6693	439	25	of	of	ADP
ejpam-6693	439	26	r(t	r(t	NOUN
ejpam-6693	439	27	)	)	PUNCT
ejpam-6693	439	28	by	by	ADP
ejpam-6693	439	29	fdtm	fdtm	NOUN
ejpam-6693	439	30	and	and	CCONJ
ejpam-6693	439	31	ladm	ladm	VERB
ejpam-6693	439	32	for	for	ADP
ejpam-6693	439	33	γ	γ	X
ejpam-6693	439	34	=	=	SYM
ejpam-6693	439	35	0.1	0.1	NUM
ejpam-6693	439	36	0	0	NUM
ejpam-6693	439	37	5	5	NUM
ejpam-6693	439	38	10	10	NUM
ejpam-6693	439	39	15	15	NUM
ejpam-6693	439	40	20	20	NUM
ejpam-6693	439	41	25	25	NUM
ejpam-6693	439	42	30	30	NUM
ejpam-6693	439	43	10	10	NUM
ejpam-6693	439	44	10.05	10.05	NUM
ejpam-6693	439	45	10.1	10.1	NUM
ejpam-6693	439	46	10.15	10.15	NUM
ejpam-6693	439	47	10.2	10.2	NUM
ejpam-6693	439	48	10.25	10.25	NUM
ejpam-6693	439	49	10.3	10.3	NUM
ejpam-6693	439	50	10.35	10.35	NUM
ejpam-6693	439	51	r(t	r(t	NOUN
ejpam-6693	439	52	)	)	PUNCT
ejpam-6693	439	53	by	by	ADP
ejpam-6693	439	54	fdtm	fdtm	NOUN
ejpam-6693	439	55	and	and	CCONJ
ejpam-6693	439	56	ladm	ladm	ADJ
ejpam-6693	439	57	for	for	ADP
ejpam-6693	439	58	γ=0.1	γ=0.1	NOUN
ejpam-6693	439	59	t	t	PROPN
ejpam-6693	439	60	r	r	PROPN
ejpam-6693	439	61	(	(	PUNCT
ejpam-6693	439	62	t	t	PROPN
ejpam-6693	439	63	)	)	PUNCT
ejpam-6693	439	64	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	439	65	r(t)ladm	r(t)ladm	NUM
ejpam-6693	439	66	the	the	DET
ejpam-6693	439	67	graphs	graph	NOUN
ejpam-6693	439	68	shown	show	VERB
ejpam-6693	439	69	by	by	ADP
ejpam-6693	439	70	figures	figure	NOUN
ejpam-6693	439	71	1	1	NUM
ejpam-6693	439	72	,	,	PUNCT
ejpam-6693	439	73	2	2	NUM
ejpam-6693	439	74	and	and	CCONJ
ejpam-6693	439	75	3	3	NUM
ejpam-6693	439	76	represent	represent	VERB
ejpam-6693	439	77	the	the	DET
ejpam-6693	439	78	solution	solution	NOUN
ejpam-6693	439	79	curves	curve	NOUN
ejpam-6693	439	80	for	for	ADP
ejpam-6693	439	81	s(t	s(t	PROPN
ejpam-6693	439	82	)	)	PUNCT
ejpam-6693	439	83	,	,	PUNCT
ejpam-6693	439	84	i(t	i(t	PROPN
ejpam-6693	439	85	)	)	PUNCT
ejpam-6693	439	86	and	and	CCONJ
ejpam-6693	439	87	r(t	r(t	NOUN
ejpam-6693	439	88	)	)	PUNCT
ejpam-6693	439	89	by	by	ADP
ejpam-6693	439	90	fdtm	fdtm	NOUN
ejpam-6693	439	91	and	and	CCONJ
ejpam-6693	439	92	ladm	ladm	VERB
ejpam-6693	439	93	for	for	ADP
ejpam-6693	439	94	γ	γ	X
ejpam-6693	439	95	=	=	SYM
ejpam-6693	439	96	0.1	0.1	NUM
ejpam-6693	439	97	.	.	PUNCT
ejpam-6693	440	1	from	from	ADP
ejpam-6693	440	2	these	these	DET
ejpam-6693	440	3	figures	figure	NOUN
ejpam-6693	440	4	,	,	PUNCT
ejpam-6693	440	5	it	it	PRON
ejpam-6693	440	6	can	can	AUX
ejpam-6693	440	7	be	be	AUX
ejpam-6693	440	8	observed	observe	VERB
ejpam-6693	440	9	that	that	SCONJ
ejpam-6693	440	10	the	the	DET
ejpam-6693	440	11	solutions	solution	NOUN
ejpam-6693	440	12	obtained	obtain	VERB
ejpam-6693	440	13	by	by	ADP
ejpam-6693	440	14	fdtm	fdtm	NOUN
ejpam-6693	440	15	and	and	CCONJ
ejpam-6693	440	16	ladm	ladm	PROPN
ejpam-6693	440	17	almost	almost	ADV
ejpam-6693	440	18	agree	agree	VERB
ejpam-6693	440	19	for	for	ADP
ejpam-6693	440	20	first	first	ADJ
ejpam-6693	440	21	few	few	ADJ
ejpam-6693	440	22	values	value	NOUN
ejpam-6693	440	23	of	of	ADP
ejpam-6693	440	24	the	the	DET
ejpam-6693	440	25	variable	variable	ADJ
ejpam-6693	440	26	t	t	PROPN
ejpam-6693	440	27	,	,	PUNCT
ejpam-6693	440	28	to	to	PART
ejpam-6693	440	29	be	be	AUX
ejpam-6693	440	30	specific	specific	ADJ
ejpam-6693	440	31	,	,	PUNCT
ejpam-6693	440	32	for	for	ADP
ejpam-6693	440	33	t	t	PROPN
ejpam-6693	440	34	∈	∈	PROPN
ejpam-6693	441	1	[	[	X
ejpam-6693	441	2	0	0	NUM
ejpam-6693	441	3	,	,	PUNCT
ejpam-6693	441	4	5	5	NUM
ejpam-6693	441	5	]	]	PUNCT
ejpam-6693	441	6	.	.	PUNCT
ejpam-6693	442	1	but	but	CCONJ
ejpam-6693	442	2	as	as	ADP
ejpam-6693	442	3	t	t	PROPN
ejpam-6693	442	4	increases	increase	NOUN
ejpam-6693	442	5	,	,	PUNCT
ejpam-6693	442	6	slight	slight	ADJ
ejpam-6693	442	7	differences	difference	NOUN
ejpam-6693	442	8	in	in	ADP
ejpam-6693	442	9	the	the	DET
ejpam-6693	442	10	solution	solution	NOUN
ejpam-6693	442	11	curves	curve	NOUN
ejpam-6693	442	12	are	be	AUX
ejpam-6693	442	13	observed	observe	VERB
ejpam-6693	442	14	.	.	PUNCT
ejpam-6693	443	1	the	the	DET
ejpam-6693	443	2	absolute	absolute	ADJ
ejpam-6693	443	3	errors	error	NOUN
ejpam-6693	443	4	in	in	ADP
ejpam-6693	443	5	the	the	DET
ejpam-6693	443	6	solutions	solution	NOUN
ejpam-6693	443	7	by	by	ADP
ejpam-6693	443	8	both	both	CCONJ
ejpam-6693	443	9	the	the	DET
ejpam-6693	443	10	methods	method	NOUN
ejpam-6693	443	11	can	can	AUX
ejpam-6693	443	12	be	be	AUX
ejpam-6693	443	13	observed	observe	VERB
ejpam-6693	443	14	in	in	ADP
ejpam-6693	443	15	figure	figure	NOUN
ejpam-6693	443	16	4	4	NUM
ejpam-6693	443	17	.	.	PUNCT
ejpam-6693	443	18	r.	r.	PROPN
ejpam-6693	443	19	m.	m.	PROPN
ejpam-6693	443	20	kamble	kamble	PROPN
ejpam-6693	443	21	,	,	PUNCT
ejpam-6693	444	1	p.	p.	PROPN
ejpam-6693	444	2	r.	r.	PROPN
ejpam-6693	445	1	kulkarni	kulkarni	PROPN
ejpam-6693	445	2	/	/	SYM
ejpam-6693	445	3	eur	eur	PROPN
ejpam-6693	445	4	.	.	PUNCT
ejpam-6693	446	1	j.	j.	PROPN
ejpam-6693	446	2	pure	pure	PROPN
ejpam-6693	446	3	appl	appl	PROPN
ejpam-6693	446	4	.	.	PROPN
ejpam-6693	446	5	math	math	PROPN
ejpam-6693	446	6	,	,	PUNCT
ejpam-6693	446	7	18	18	NUM
ejpam-6693	446	8	(	(	PUNCT
ejpam-6693	446	9	4	4	NUM
ejpam-6693	446	10	)	)	PUNCT
ejpam-6693	446	11	(	(	PUNCT
ejpam-6693	446	12	2025	2025	NUM
ejpam-6693	446	13	)	)	PUNCT
ejpam-6693	446	14	,	,	PUNCT
ejpam-6693	446	15	6693	6693	NUM
ejpam-6693	446	16	22	22	NUM
ejpam-6693	446	17	of	of	ADP
ejpam-6693	446	18	40	40	NUM
ejpam-6693	446	19	figure	figure	NOUN
ejpam-6693	446	20	4	4	NUM
ejpam-6693	446	21	:	:	PUNCT
ejpam-6693	446	22	comparison	comparison	NOUN
ejpam-6693	446	23	of	of	ADP
ejpam-6693	446	24	errors	error	NOUN
ejpam-6693	446	25	in	in	ADP
ejpam-6693	446	26	s(t	s(t	PROPN
ejpam-6693	446	27	)	)	PUNCT
ejpam-6693	446	28	,	,	PUNCT
ejpam-6693	446	29	i(t	i(t	PROPN
ejpam-6693	446	30	)	)	PUNCT
ejpam-6693	446	31	,	,	PUNCT
ejpam-6693	446	32	r(t	r(t	NOUN
ejpam-6693	446	33	)	)	PUNCT
ejpam-6693	446	34	by	by	ADP
ejpam-6693	446	35	fdtm	fdtm	NOUN
ejpam-6693	446	36	and	and	CCONJ
ejpam-6693	446	37	ladm	ladm	VERB
ejpam-6693	446	38	for	for	ADP
ejpam-6693	446	39	γ	γ	X
ejpam-6693	446	40	=	=	SYM
ejpam-6693	446	41	0.1	0.1	NUM
ejpam-6693	446	42	0	0	NUM
ejpam-6693	446	43	5	5	NUM
ejpam-6693	446	44	10	10	NUM
ejpam-6693	446	45	15	15	NUM
ejpam-6693	446	46	20	20	NUM
ejpam-6693	446	47	25	25	NUM
ejpam-6693	446	48	30	30	NUM
ejpam-6693	446	49	0	0	NUM
ejpam-6693	446	50	0.01	0.01	NUM
ejpam-6693	446	51	0.02	0.02	NUM
ejpam-6693	446	52	0.03	0.03	NUM
ejpam-6693	446	53	0.04	0.04	NUM
ejpam-6693	446	54	0.05	0.05	NUM
ejpam-6693	446	55	0.06	0.06	NUM
ejpam-6693	446	56	0.07	0.07	NUM
ejpam-6693	446	57	0.08	0.08	NUM
ejpam-6693	446	58	0.09	0.09	NUM
ejpam-6693	446	59	errors	error	NOUN
ejpam-6693	446	60	in	in	ADP
ejpam-6693	446	61	s(t	s(t	PROPN
ejpam-6693	446	62	)	)	PUNCT
ejpam-6693	446	63	,	,	PUNCT
ejpam-6693	446	64	i(t	i(t	PROPN
ejpam-6693	446	65	)	)	PUNCT
ejpam-6693	446	66	,	,	PUNCT
ejpam-6693	446	67	r(t	r(t	NOUN
ejpam-6693	446	68	)	)	PUNCT
ejpam-6693	446	69	by	by	ADP
ejpam-6693	446	70	fdtm	fdtm	NOUN
ejpam-6693	446	71	and	and	CCONJ
ejpam-6693	446	72	ladm	ladm	ADJ
ejpam-6693	446	73	for	for	ADP
ejpam-6693	446	74	γ=0.1	γ=0.1	NOUN
ejpam-6693	446	75	t	t	PROPN
ejpam-6693	446	76	e	e	X
ejpam-6693	446	77	rr	rr	NOUN
ejpam-6693	447	1	o	o	INTJ
ejpam-6693	447	2	rs	rs	INTJ
ejpam-6693	447	3	i	i	PRON
ejpam-6693	447	4	n	n	VERB
ejpam-6693	447	5	s	s	X
ejpam-6693	447	6	(	(	PUNCT
ejpam-6693	447	7	t	t	PROPN
ejpam-6693	447	8	)	)	PUNCT
ejpam-6693	447	9	,	,	PUNCT
ejpam-6693	447	10	i	i	PRON
ejpam-6693	447	11	(	(	PUNCT
ejpam-6693	447	12	t	t	PROPN
ejpam-6693	447	13	)	)	PUNCT
ejpam-6693	447	14	,	,	PUNCT
ejpam-6693	447	15	r	r	NOUN
ejpam-6693	447	16	(	(	PUNCT
ejpam-6693	447	17	t	t	NOUN
ejpam-6693	447	18	)	)	PUNCT
ejpam-6693	447	19	er[s(t	er[s(t	PROPN
ejpam-6693	447	20	)	)	PUNCT
ejpam-6693	447	21	]	]	PUNCT
ejpam-6693	448	1	er[i(t	er[i(t	PROPN
ejpam-6693	448	2	)	)	PUNCT
ejpam-6693	448	3	]	]	PUNCT
ejpam-6693	449	1	er[r(t	er[r(t	PROPN
ejpam-6693	449	2	)	)	PUNCT
ejpam-6693	449	3	]	]	PUNCT
ejpam-6693	449	4	the	the	DET
ejpam-6693	449	5	phase	phase	NOUN
ejpam-6693	449	6	-	-	PUNCT
ejpam-6693	449	7	plane	plane	NOUN
ejpam-6693	449	8	portraits	portrait	NOUN
ejpam-6693	449	9	of	of	ADP
ejpam-6693	449	10	s(t	s(t	PROPN
ejpam-6693	449	11	)	)	PUNCT
ejpam-6693	449	12	,	,	PUNCT
ejpam-6693	449	13	i(t	i(t	PROPN
ejpam-6693	449	14	)	)	PUNCT
ejpam-6693	449	15	,	,	PUNCT
ejpam-6693	449	16	r(t	r(t	NOUN
ejpam-6693	449	17	)	)	PUNCT
ejpam-6693	449	18	by	by	ADP
ejpam-6693	449	19	both	both	CCONJ
ejpam-6693	449	20	the	the	DET
ejpam-6693	449	21	methods	method	NOUN
ejpam-6693	449	22	are	be	AUX
ejpam-6693	449	23	as	as	SCONJ
ejpam-6693	449	24	plotted	plot	VERB
ejpam-6693	449	25	in	in	ADP
ejpam-6693	449	26	figure	figure	NOUN
ejpam-6693	449	27	5	5	NUM
ejpam-6693	449	28	.	.	PUNCT
ejpam-6693	449	29	from	from	ADP
ejpam-6693	449	30	this	this	DET
ejpam-6693	449	31	figure	figure	NOUN
ejpam-6693	449	32	we	we	PRON
ejpam-6693	449	33	note	note	VERB
ejpam-6693	449	34	that	that	SCONJ
ejpam-6693	449	35	the	the	DET
ejpam-6693	449	36	solution	solution	NOUN
ejpam-6693	449	37	curves	curve	VERB
ejpam-6693	449	38	for	for	ADP
ejpam-6693	449	39	s(t	s(t	PROPN
ejpam-6693	449	40	)	)	PUNCT
ejpam-6693	449	41	,	,	PUNCT
ejpam-6693	449	42	i(t	i(t	PROPN
ejpam-6693	449	43	)	)	PUNCT
ejpam-6693	449	44	,	,	PUNCT
ejpam-6693	449	45	r(t	r(t	NOUN
ejpam-6693	449	46	)	)	PUNCT
ejpam-6693	449	47	progress	progress	VERB
ejpam-6693	449	48	almost	almost	ADV
ejpam-6693	449	49	handin	handin	NOUN
ejpam-6693	449	50	-	-	PUNCT
ejpam-6693	449	51	hand	hand	NOUN
ejpam-6693	449	52	for	for	ADP
ejpam-6693	449	53	the	the	DET
ejpam-6693	449	54	initial	initial	ADJ
ejpam-6693	449	55	values	value	NOUN
ejpam-6693	449	56	of	of	ADP
ejpam-6693	449	57	the	the	DET
ejpam-6693	449	58	variable	variable	ADJ
ejpam-6693	449	59	t	t	PROPN
ejpam-6693	449	60	,	,	PUNCT
ejpam-6693	449	61	but	but	CCONJ
ejpam-6693	449	62	differ	differ	VERB
ejpam-6693	449	63	later	later	ADV
ejpam-6693	449	64	on	on	ADV
ejpam-6693	449	65	.	.	PUNCT
ejpam-6693	450	1	r.	r.	PROPN
ejpam-6693	450	2	m.	m.	PROPN
ejpam-6693	450	3	kamble	kamble	PROPN
ejpam-6693	450	4	,	,	PUNCT
ejpam-6693	450	5	p.	p.	PROPN
ejpam-6693	450	6	r.	r.	PROPN
ejpam-6693	451	1	kulkarni	kulkarni	PROPN
ejpam-6693	451	2	/	/	SYM
ejpam-6693	451	3	eur	eur	PROPN
ejpam-6693	451	4	.	.	PUNCT
ejpam-6693	452	1	j.	j.	PROPN
ejpam-6693	452	2	pure	pure	PROPN
ejpam-6693	452	3	appl	appl	PROPN
ejpam-6693	452	4	.	.	PROPN
ejpam-6693	452	5	math	math	PROPN
ejpam-6693	452	6	,	,	PUNCT
ejpam-6693	452	7	18	18	NUM
ejpam-6693	452	8	(	(	PUNCT
ejpam-6693	452	9	4	4	NUM
ejpam-6693	452	10	)	)	PUNCT
ejpam-6693	452	11	(	(	PUNCT
ejpam-6693	452	12	2025	2025	NUM
ejpam-6693	452	13	)	)	PUNCT
ejpam-6693	452	14	,	,	PUNCT
ejpam-6693	452	15	6693	6693	NUM
ejpam-6693	452	16	23	23	NUM
ejpam-6693	452	17	of	of	ADP
ejpam-6693	452	18	40	40	NUM
ejpam-6693	452	19	figure	figure	NOUN
ejpam-6693	452	20	5	5	NUM
ejpam-6693	452	21	:	:	PUNCT
ejpam-6693	452	22	phase	phase	NOUN
ejpam-6693	452	23	plane	plane	NOUN
ejpam-6693	452	24	portraits	portrait	NOUN
ejpam-6693	452	25	of	of	ADP
ejpam-6693	452	26	s(t	s(t	PROPN
ejpam-6693	452	27	)	)	PUNCT
ejpam-6693	452	28	,	,	PUNCT
ejpam-6693	452	29	i(t	i(t	PROPN
ejpam-6693	452	30	)	)	PUNCT
ejpam-6693	452	31	,	,	PUNCT
ejpam-6693	452	32	r(t	r(t	NOUN
ejpam-6693	452	33	)	)	PUNCT
ejpam-6693	452	34	by	by	ADP
ejpam-6693	452	35	fdtm	fdtm	NOUN
ejpam-6693	452	36	and	and	CCONJ
ejpam-6693	452	37	ladm	ladm	VERB
ejpam-6693	452	38	for	for	ADP
ejpam-6693	452	39	γ	γ	X
ejpam-6693	452	40	=	=	SYM
ejpam-6693	452	41	0.1	0.1	NUM
ejpam-6693	452	42	0	0	NUM
ejpam-6693	452	43	5	5	NUM
ejpam-6693	452	44	10	10	NUM
ejpam-6693	452	45	15	15	NUM
ejpam-6693	452	46	20	20	NUM
ejpam-6693	452	47	25	25	NUM
ejpam-6693	452	48	30	30	NUM
ejpam-6693	452	49	10	10	NUM
ejpam-6693	452	50	11	11	NUM
ejpam-6693	452	51	12	12	NUM
ejpam-6693	452	52	13	13	NUM
ejpam-6693	452	53	14	14	NUM
ejpam-6693	452	54	15	15	NUM
ejpam-6693	452	55	16	16	NUM
ejpam-6693	452	56	17	17	NUM
ejpam-6693	452	57	18	18	NUM
ejpam-6693	452	58	19	19	NUM
ejpam-6693	452	59	20	20	NUM
ejpam-6693	452	60	phase	phase	NOUN
ejpam-6693	452	61	portratis	portratis	PROPN
ejpam-6693	452	62	of	of	ADP
ejpam-6693	452	63	s(t	s(t	PROPN
ejpam-6693	452	64	)	)	PUNCT
ejpam-6693	452	65	,	,	PUNCT
ejpam-6693	452	66	i(t	i(t	PROPN
ejpam-6693	452	67	)	)	PUNCT
ejpam-6693	452	68	,	,	PUNCT
ejpam-6693	452	69	r(t	r(t	NOUN
ejpam-6693	452	70	)	)	PUNCT
ejpam-6693	452	71	by	by	ADP
ejpam-6693	452	72	fdtm	fdtm	NOUN
ejpam-6693	452	73	and	and	CCONJ
ejpam-6693	452	74	ladm	ladm	ADJ
ejpam-6693	452	75	for	for	ADP
ejpam-6693	452	76	γ=0.1	γ=0.1	NOUN
ejpam-6693	452	77	t	t	PROPN
ejpam-6693	452	78	s	s	PART
ejpam-6693	452	79	(	(	PUNCT
ejpam-6693	452	80	t	t	PROPN
ejpam-6693	452	81	)	)	PUNCT
ejpam-6693	452	82	,	,	PUNCT
ejpam-6693	452	83	i	i	PRON
ejpam-6693	452	84	(	(	PUNCT
ejpam-6693	452	85	t	t	PROPN
ejpam-6693	452	86	)	)	PUNCT
ejpam-6693	452	87	,	,	PUNCT
ejpam-6693	452	88	r	r	NOUN
ejpam-6693	452	89	(	(	PUNCT
ejpam-6693	452	90	t	t	PROPN
ejpam-6693	452	91	)	)	PUNCT
ejpam-6693	452	92	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	452	93	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	452	94	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	452	95	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	453	1	r(t)fdtm	r(t)fdtm	NUM
ejpam-6693	453	2	r(t)ladm	r(t)ladm	NUM
ejpam-6693	453	3	the	the	DET
ejpam-6693	453	4	solution	solution	NOUN
ejpam-6693	453	5	curves	curve	NOUN
ejpam-6693	453	6	,	,	PUNCT
ejpam-6693	453	7	errors	error	NOUN
ejpam-6693	453	8	and	and	CCONJ
ejpam-6693	453	9	the	the	DET
ejpam-6693	453	10	phase	phase	NOUN
ejpam-6693	453	11	-	-	PUNCT
ejpam-6693	453	12	plain	plain	ADJ
ejpam-6693	453	13	portrait	portrait	NOUN
ejpam-6693	453	14	for	for	ADP
ejpam-6693	453	15	γ	γ	X
ejpam-6693	453	16	=	=	SYM
ejpam-6693	453	17	0.5	0.5	NUM
ejpam-6693	453	18	are	be	AUX
ejpam-6693	453	19	as	as	SCONJ
ejpam-6693	453	20	shown	show	VERB
ejpam-6693	453	21	by	by	ADP
ejpam-6693	453	22	figures	figure	NOUN
ejpam-6693	453	23	6	6	NUM
ejpam-6693	453	24	to	to	PART
ejpam-6693	453	25	figure	figure	VERB
ejpam-6693	453	26	10	10	NUM
ejpam-6693	453	27	.	.	PUNCT
ejpam-6693	454	1	in	in	ADP
ejpam-6693	454	2	this	this	DET
ejpam-6693	454	3	case	case	NOUN
ejpam-6693	454	4	also	also	ADV
ejpam-6693	454	5	we	we	PRON
ejpam-6693	454	6	have	have	VERB
ejpam-6693	454	7	a	a	DET
ejpam-6693	454	8	similar	similar	ADJ
ejpam-6693	454	9	type	type	NOUN
ejpam-6693	454	10	of	of	ADP
ejpam-6693	454	11	conclusion	conclusion	NOUN
ejpam-6693	454	12	as	as	ADP
ejpam-6693	454	13	in	in	ADP
ejpam-6693	454	14	the	the	DET
ejpam-6693	454	15	case	case	NOUN
ejpam-6693	454	16	for	for	ADP
ejpam-6693	454	17	γ	γ	X
ejpam-6693	454	18	=	=	SYM
ejpam-6693	454	19	0.1	0.1	NUM
ejpam-6693	454	20	.	.	PUNCT
ejpam-6693	455	1	this	this	DET
ejpam-6693	455	2	type	type	NOUN
ejpam-6693	455	3	of	of	ADP
ejpam-6693	455	4	pattern	pattern	NOUN
ejpam-6693	455	5	can	can	AUX
ejpam-6693	455	6	be	be	AUX
ejpam-6693	455	7	observed	observe	VERB
ejpam-6693	455	8	for	for	ADP
ejpam-6693	455	9	the	the	DET
ejpam-6693	455	10	both	both	CCONJ
ejpam-6693	455	11	the	the	DET
ejpam-6693	455	12	methods	method	NOUN
ejpam-6693	455	13	for	for	ADP
ejpam-6693	455	14	γ	γ	X
ejpam-6693	455	15	∈	∈	PROPN
ejpam-6693	455	16	(	(	PUNCT
ejpam-6693	455	17	0	0	NUM
ejpam-6693	455	18	,	,	PUNCT
ejpam-6693	455	19	1	1	NUM
ejpam-6693	455	20	)	)	PUNCT
ejpam-6693	455	21	.	.	PUNCT
ejpam-6693	456	1	r.	r.	PROPN
ejpam-6693	456	2	m.	m.	PROPN
ejpam-6693	456	3	kamble	kamble	PROPN
ejpam-6693	456	4	,	,	PUNCT
ejpam-6693	456	5	p.	p.	PROPN
ejpam-6693	456	6	r.	r.	PROPN
ejpam-6693	457	1	kulkarni	kulkarni	PROPN
ejpam-6693	457	2	/	/	SYM
ejpam-6693	457	3	eur	eur	PROPN
ejpam-6693	457	4	.	.	PUNCT
ejpam-6693	458	1	j.	j.	PROPN
ejpam-6693	458	2	pure	pure	PROPN
ejpam-6693	458	3	appl	appl	PROPN
ejpam-6693	458	4	.	.	PROPN
ejpam-6693	458	5	math	math	PROPN
ejpam-6693	458	6	,	,	PUNCT
ejpam-6693	458	7	18	18	NUM
ejpam-6693	458	8	(	(	PUNCT
ejpam-6693	458	9	4	4	NUM
ejpam-6693	458	10	)	)	PUNCT
ejpam-6693	458	11	(	(	PUNCT
ejpam-6693	458	12	2025	2025	NUM
ejpam-6693	458	13	)	)	PUNCT
ejpam-6693	458	14	,	,	PUNCT
ejpam-6693	458	15	6693	6693	NUM
ejpam-6693	458	16	24	24	NUM
ejpam-6693	458	17	of	of	ADP
ejpam-6693	458	18	40	40	NUM
ejpam-6693	458	19	figure	figure	NOUN
ejpam-6693	458	20	6	6	NUM
ejpam-6693	458	21	:	:	PUNCT
ejpam-6693	458	22	comparison	comparison	NOUN
ejpam-6693	458	23	of	of	ADP
ejpam-6693	458	24	graphs	graph	NOUN
ejpam-6693	458	25	of	of	ADP
ejpam-6693	458	26	s(t	s(t	PROPN
ejpam-6693	458	27	)	)	PUNCT
ejpam-6693	458	28	by	by	ADP
ejpam-6693	458	29	fdtm	fdtm	NOUN
ejpam-6693	458	30	and	and	CCONJ
ejpam-6693	458	31	ladm	ladm	VERB
ejpam-6693	458	32	for	for	ADP
ejpam-6693	458	33	γ	γ	X
ejpam-6693	458	34	=	=	SYM
ejpam-6693	458	35	0.5	0.5	NUM
ejpam-6693	458	36	0	0	NUM
ejpam-6693	458	37	5	5	NUM
ejpam-6693	458	38	10	10	NUM
ejpam-6693	458	39	15	15	NUM
ejpam-6693	458	40	20	20	NUM
ejpam-6693	458	41	25	25	NUM
ejpam-6693	458	42	30	30	NUM
ejpam-6693	458	43	13	13	NUM
ejpam-6693	458	44	14	14	NUM
ejpam-6693	458	45	15	15	NUM
ejpam-6693	458	46	16	16	NUM
ejpam-6693	458	47	17	17	NUM
ejpam-6693	458	48	18	18	NUM
ejpam-6693	458	49	19	19	NUM
ejpam-6693	458	50	20	20	NUM
ejpam-6693	458	51	s(t	s(t	NUM
ejpam-6693	458	52	)	)	PUNCT
ejpam-6693	458	53	by	by	ADP
ejpam-6693	458	54	fdtm	fdtm	NOUN
ejpam-6693	458	55	and	and	CCONJ
ejpam-6693	458	56	ladm	ladm	VERB
ejpam-6693	458	57	for	for	ADP
ejpam-6693	458	58	γ=0.5	γ=0.5	NOUN
ejpam-6693	458	59	t	t	NOUN
ejpam-6693	458	60	s	s	PART
ejpam-6693	458	61	(	(	PUNCT
ejpam-6693	458	62	t	t	PROPN
ejpam-6693	458	63	)	)	PUNCT
ejpam-6693	458	64	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	458	65	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	458	66	r.	r.	PROPN
ejpam-6693	458	67	m.	m.	PROPN
ejpam-6693	458	68	kamble	kamble	PROPN
ejpam-6693	458	69	,	,	PUNCT
ejpam-6693	458	70	p.	p.	PROPN
ejpam-6693	458	71	r.	r.	PROPN
ejpam-6693	458	72	kulkarni	kulkarni	PROPN
ejpam-6693	458	73	/	/	SYM
ejpam-6693	458	74	eur	eur	PROPN
ejpam-6693	458	75	.	.	PUNCT
ejpam-6693	459	1	j.	j.	PROPN
ejpam-6693	459	2	pure	pure	PROPN
ejpam-6693	459	3	appl	appl	PROPN
ejpam-6693	459	4	.	.	PROPN
ejpam-6693	459	5	math	math	PROPN
ejpam-6693	459	6	,	,	PUNCT
ejpam-6693	459	7	18	18	NUM
ejpam-6693	459	8	(	(	PUNCT
ejpam-6693	459	9	4	4	NUM
ejpam-6693	459	10	)	)	PUNCT
ejpam-6693	459	11	(	(	PUNCT
ejpam-6693	459	12	2025	2025	NUM
ejpam-6693	459	13	)	)	PUNCT
ejpam-6693	459	14	,	,	PUNCT
ejpam-6693	459	15	6693	6693	NUM
ejpam-6693	459	16	25	25	NUM
ejpam-6693	459	17	of	of	ADP
ejpam-6693	459	18	40	40	NUM
ejpam-6693	459	19	figure	figure	NOUN
ejpam-6693	459	20	7	7	NUM
ejpam-6693	459	21	:	:	PUNCT
ejpam-6693	459	22	comparison	comparison	NOUN
ejpam-6693	459	23	of	of	ADP
ejpam-6693	459	24	graphs	graph	NOUN
ejpam-6693	459	25	of	of	ADP
ejpam-6693	459	26	i(t	i(t	NOUN
ejpam-6693	459	27	)	)	PUNCT
ejpam-6693	459	28	by	by	ADP
ejpam-6693	459	29	fdtm	fdtm	NOUN
ejpam-6693	459	30	and	and	CCONJ
ejpam-6693	459	31	ladm	ladm	VERB
ejpam-6693	459	32	for	for	ADP
ejpam-6693	459	33	γ	γ	X
ejpam-6693	459	34	=	=	SYM
ejpam-6693	459	35	0.5	0.5	NUM
ejpam-6693	459	36	0	0	NUM
ejpam-6693	459	37	5	5	NUM
ejpam-6693	459	38	10	10	NUM
ejpam-6693	459	39	15	15	NUM
ejpam-6693	459	40	20	20	NUM
ejpam-6693	459	41	25	25	NUM
ejpam-6693	459	42	30	30	NUM
ejpam-6693	459	43	2	2	NUM
ejpam-6693	459	44	4	4	NUM
ejpam-6693	459	45	6	6	NUM
ejpam-6693	459	46	8	8	NUM
ejpam-6693	459	47	10	10	NUM
ejpam-6693	459	48	12	12	NUM
ejpam-6693	459	49	14	14	NUM
ejpam-6693	459	50	16	16	NUM
ejpam-6693	459	51	i(t	i(t	NOUN
ejpam-6693	459	52	)	)	PUNCT
ejpam-6693	459	53	by	by	ADP
ejpam-6693	459	54	fdtm	fdtm	NOUN
ejpam-6693	459	55	and	and	CCONJ
ejpam-6693	459	56	ladm	ladm	VERB
ejpam-6693	459	57	for	for	ADP
ejpam-6693	459	58	γ=0.5	γ=0.5	NOUN
ejpam-6693	459	59	t	t	X
ejpam-6693	459	60	i	i	PROPN
ejpam-6693	459	61	(	(	PUNCT
ejpam-6693	459	62	t	t	PROPN
ejpam-6693	459	63	)	)	PUNCT
ejpam-6693	459	64	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	460	1	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	460	2	r.	r.	PROPN
ejpam-6693	460	3	m.	m.	PROPN
ejpam-6693	460	4	kamble	kamble	PROPN
ejpam-6693	460	5	,	,	PUNCT
ejpam-6693	461	1	p.	p.	PROPN
ejpam-6693	461	2	r.	r.	PROPN
ejpam-6693	462	1	kulkarni	kulkarni	PROPN
ejpam-6693	462	2	/	/	SYM
ejpam-6693	462	3	eur	eur	PROPN
ejpam-6693	462	4	.	.	PUNCT
ejpam-6693	463	1	j.	j.	PROPN
ejpam-6693	463	2	pure	pure	PROPN
ejpam-6693	463	3	appl	appl	PROPN
ejpam-6693	463	4	.	.	PROPN
ejpam-6693	463	5	math	math	PROPN
ejpam-6693	463	6	,	,	PUNCT
ejpam-6693	463	7	18	18	NUM
ejpam-6693	463	8	(	(	PUNCT
ejpam-6693	463	9	4	4	NUM
ejpam-6693	463	10	)	)	PUNCT
ejpam-6693	463	11	(	(	PUNCT
ejpam-6693	463	12	2025	2025	NUM
ejpam-6693	463	13	)	)	PUNCT
ejpam-6693	463	14	,	,	PUNCT
ejpam-6693	463	15	6693	6693	NUM
ejpam-6693	463	16	26	26	NUM
ejpam-6693	463	17	of	of	ADP
ejpam-6693	463	18	40	40	NUM
ejpam-6693	463	19	figure	figure	NOUN
ejpam-6693	463	20	8	8	NUM
ejpam-6693	463	21	:	:	PUNCT
ejpam-6693	463	22	comparison	comparison	NOUN
ejpam-6693	463	23	of	of	ADP
ejpam-6693	463	24	graphs	graph	NOUN
ejpam-6693	463	25	of	of	ADP
ejpam-6693	463	26	r(t	r(t	NOUN
ejpam-6693	463	27	)	)	PUNCT
ejpam-6693	463	28	by	by	ADP
ejpam-6693	463	29	fdtm	fdtm	NOUN
ejpam-6693	463	30	and	and	CCONJ
ejpam-6693	463	31	ladm	ladm	VERB
ejpam-6693	463	32	for	for	ADP
ejpam-6693	463	33	γ	γ	X
ejpam-6693	463	34	=	=	SYM
ejpam-6693	463	35	0.5	0.5	NUM
ejpam-6693	463	36	0	0	NUM
ejpam-6693	463	37	5	5	NUM
ejpam-6693	463	38	10	10	NUM
ejpam-6693	463	39	15	15	NUM
ejpam-6693	463	40	20	20	NUM
ejpam-6693	463	41	25	25	NUM
ejpam-6693	463	42	30	30	NUM
ejpam-6693	463	43	7.5	7.5	NUM
ejpam-6693	463	44	8	8	NUM
ejpam-6693	463	45	8.5	8.5	NUM
ejpam-6693	463	46	9	9	NUM
ejpam-6693	463	47	9.5	9.5	NUM
ejpam-6693	463	48	10	10	NUM
ejpam-6693	463	49	10.5	10.5	NUM
ejpam-6693	463	50	r(t	r(t	NOUN
ejpam-6693	463	51	)	)	PUNCT
ejpam-6693	463	52	by	by	ADP
ejpam-6693	463	53	fdtm	fdtm	NOUN
ejpam-6693	463	54	and	and	CCONJ
ejpam-6693	463	55	ladm	ladm	VERB
ejpam-6693	463	56	for	for	ADP
ejpam-6693	463	57	γ=0.5	γ=0.5	NOUN
ejpam-6693	463	58	t	t	NOUN
ejpam-6693	463	59	r	r	PROPN
ejpam-6693	463	60	(	(	PUNCT
ejpam-6693	463	61	t	t	PROPN
ejpam-6693	463	62	)	)	PUNCT
ejpam-6693	463	63	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	463	64	r(t)ladm	r(t)ladm	NUM
ejpam-6693	463	65	r.	r.	PROPN
ejpam-6693	463	66	m.	m.	PROPN
ejpam-6693	463	67	kamble	kamble	PROPN
ejpam-6693	463	68	,	,	PUNCT
ejpam-6693	463	69	p.	p.	PROPN
ejpam-6693	463	70	r.	r.	PROPN
ejpam-6693	463	71	kulkarni	kulkarni	PROPN
ejpam-6693	463	72	/	/	SYM
ejpam-6693	463	73	eur	eur	PROPN
ejpam-6693	463	74	.	.	PUNCT
ejpam-6693	464	1	j.	j.	PROPN
ejpam-6693	464	2	pure	pure	PROPN
ejpam-6693	464	3	appl	appl	PROPN
ejpam-6693	464	4	.	.	PROPN
ejpam-6693	464	5	math	math	PROPN
ejpam-6693	464	6	,	,	PUNCT
ejpam-6693	464	7	18	18	NUM
ejpam-6693	464	8	(	(	PUNCT
ejpam-6693	464	9	4	4	NUM
ejpam-6693	464	10	)	)	PUNCT
ejpam-6693	464	11	(	(	PUNCT
ejpam-6693	464	12	2025	2025	NUM
ejpam-6693	464	13	)	)	PUNCT
ejpam-6693	464	14	,	,	PUNCT
ejpam-6693	464	15	6693	6693	NUM
ejpam-6693	464	16	27	27	NUM
ejpam-6693	464	17	of	of	ADP
ejpam-6693	464	18	40	40	NUM
ejpam-6693	464	19	figure	figure	NOUN
ejpam-6693	464	20	9	9	NUM
ejpam-6693	464	21	:	:	PUNCT
ejpam-6693	464	22	comparison	comparison	NOUN
ejpam-6693	464	23	of	of	ADP
ejpam-6693	464	24	errors	error	NOUN
ejpam-6693	464	25	in	in	ADP
ejpam-6693	464	26	s(t	s(t	PROPN
ejpam-6693	464	27	)	)	PUNCT
ejpam-6693	464	28	,	,	PUNCT
ejpam-6693	464	29	i(t	i(t	PROPN
ejpam-6693	464	30	)	)	PUNCT
ejpam-6693	464	31	,	,	PUNCT
ejpam-6693	464	32	r(t	r(t	NOUN
ejpam-6693	464	33	)	)	PUNCT
ejpam-6693	464	34	by	by	ADP
ejpam-6693	464	35	fdtm	fdtm	NOUN
ejpam-6693	464	36	and	and	CCONJ
ejpam-6693	464	37	ladm	ladm	VERB
ejpam-6693	464	38	for	for	ADP
ejpam-6693	464	39	γ	γ	X
ejpam-6693	464	40	=	=	SYM
ejpam-6693	464	41	0.5	0.5	NUM
ejpam-6693	464	42	0	0	NUM
ejpam-6693	464	43	5	5	NUM
ejpam-6693	464	44	10	10	NUM
ejpam-6693	464	45	15	15	NUM
ejpam-6693	464	46	20	20	NUM
ejpam-6693	464	47	25	25	NUM
ejpam-6693	464	48	30	30	NUM
ejpam-6693	464	49	0	0	NUM
ejpam-6693	464	50	0.1	0.1	NUM
ejpam-6693	464	51	0.2	0.2	NUM
ejpam-6693	464	52	0.3	0.3	NUM
ejpam-6693	464	53	0.4	0.4	NUM
ejpam-6693	464	54	0.5	0.5	NUM
ejpam-6693	464	55	0.6	0.6	NUM
ejpam-6693	464	56	0.7	0.7	NUM
ejpam-6693	464	57	0.8	0.8	NUM
ejpam-6693	464	58	0.9	0.9	NUM
ejpam-6693	464	59	1	1	NUM
ejpam-6693	464	60	errors	error	NOUN
ejpam-6693	464	61	in	in	ADP
ejpam-6693	464	62	s(t	s(t	PROPN
ejpam-6693	464	63	)	)	PUNCT
ejpam-6693	464	64	,	,	PUNCT
ejpam-6693	464	65	i(t	i(t	PROPN
ejpam-6693	464	66	)	)	PUNCT
ejpam-6693	464	67	,	,	PUNCT
ejpam-6693	464	68	r(t	r(t	NOUN
ejpam-6693	464	69	)	)	PUNCT
ejpam-6693	464	70	by	by	ADP
ejpam-6693	464	71	fdtm	fdtm	NOUN
ejpam-6693	464	72	and	and	CCONJ
ejpam-6693	464	73	ladm	ladm	VERB
ejpam-6693	464	74	for	for	ADP
ejpam-6693	464	75	γ=0.5	γ=0.5	NOUN
ejpam-6693	464	76	t	t	NOUN
ejpam-6693	464	77	e	e	NOUN
ejpam-6693	464	78	rr	rr	NOUN
ejpam-6693	464	79	o	o	INTJ
ejpam-6693	464	80	rs	rs	INTJ
ejpam-6693	465	1	i	i	PRON
ejpam-6693	465	2	n	n	VERB
ejpam-6693	465	3	s	s	X
ejpam-6693	465	4	(	(	PUNCT
ejpam-6693	465	5	t	t	PROPN
ejpam-6693	465	6	)	)	PUNCT
ejpam-6693	465	7	,	,	PUNCT
ejpam-6693	465	8	i	i	PRON
ejpam-6693	465	9	(	(	PUNCT
ejpam-6693	465	10	t	t	PROPN
ejpam-6693	465	11	)	)	PUNCT
ejpam-6693	465	12	,	,	PUNCT
ejpam-6693	465	13	r	r	NOUN
ejpam-6693	465	14	(	(	PUNCT
ejpam-6693	465	15	t	t	NOUN
ejpam-6693	465	16	)	)	PUNCT
ejpam-6693	465	17	er[s(t	er[s(t	PROPN
ejpam-6693	465	18	)	)	PUNCT
ejpam-6693	465	19	]	]	PUNCT
ejpam-6693	466	1	er[i(t	er[i(t	PROPN
ejpam-6693	466	2	)	)	PUNCT
ejpam-6693	466	3	]	]	PUNCT
ejpam-6693	467	1	er[r(t	er[r(t	PROPN
ejpam-6693	467	2	)	)	PUNCT
ejpam-6693	467	3	]	]	PUNCT
ejpam-6693	467	4	r.	r.	PROPN
ejpam-6693	467	5	m.	m.	PROPN
ejpam-6693	467	6	kamble	kamble	PROPN
ejpam-6693	467	7	,	,	PUNCT
ejpam-6693	467	8	p.	p.	PROPN
ejpam-6693	467	9	r.	r.	PROPN
ejpam-6693	467	10	kulkarni	kulkarni	PROPN
ejpam-6693	467	11	/	/	SYM
ejpam-6693	467	12	eur	eur	PROPN
ejpam-6693	467	13	.	.	PUNCT
ejpam-6693	468	1	j.	j.	PROPN
ejpam-6693	468	2	pure	pure	PROPN
ejpam-6693	468	3	appl	appl	PROPN
ejpam-6693	468	4	.	.	PROPN
ejpam-6693	468	5	math	math	PROPN
ejpam-6693	468	6	,	,	PUNCT
ejpam-6693	468	7	18	18	NUM
ejpam-6693	468	8	(	(	PUNCT
ejpam-6693	468	9	4	4	NUM
ejpam-6693	468	10	)	)	PUNCT
ejpam-6693	468	11	(	(	PUNCT
ejpam-6693	468	12	2025	2025	NUM
ejpam-6693	468	13	)	)	PUNCT
ejpam-6693	468	14	,	,	PUNCT
ejpam-6693	468	15	6693	6693	NUM
ejpam-6693	468	16	28	28	NUM
ejpam-6693	468	17	of	of	ADP
ejpam-6693	468	18	40	40	NUM
ejpam-6693	468	19	figure	figure	NOUN
ejpam-6693	468	20	10	10	NUM
ejpam-6693	468	21	:	:	PUNCT
ejpam-6693	468	22	phase	phase	NOUN
ejpam-6693	468	23	plane	plane	NOUN
ejpam-6693	468	24	portraits	portrait	NOUN
ejpam-6693	468	25	of	of	ADP
ejpam-6693	468	26	s(t	s(t	PROPN
ejpam-6693	468	27	)	)	PUNCT
ejpam-6693	468	28	,	,	PUNCT
ejpam-6693	468	29	i(t	i(t	PROPN
ejpam-6693	468	30	)	)	PUNCT
ejpam-6693	468	31	,	,	PUNCT
ejpam-6693	468	32	r(t	r(t	NOUN
ejpam-6693	468	33	)	)	PUNCT
ejpam-6693	468	34	by	by	ADP
ejpam-6693	468	35	fdtm	fdtm	NOUN
ejpam-6693	468	36	and	and	CCONJ
ejpam-6693	468	37	ladm	ladm	VERB
ejpam-6693	468	38	for	for	ADP
ejpam-6693	468	39	γ	γ	X
ejpam-6693	468	40	=	=	SYM
ejpam-6693	468	41	0.5	0.5	NUM
ejpam-6693	468	42	0	0	NUM
ejpam-6693	468	43	5	5	NUM
ejpam-6693	468	44	10	10	NUM
ejpam-6693	468	45	15	15	NUM
ejpam-6693	468	46	20	20	NUM
ejpam-6693	468	47	25	25	NUM
ejpam-6693	468	48	30	30	NUM
ejpam-6693	468	49	2	2	NUM
ejpam-6693	468	50	4	4	NUM
ejpam-6693	468	51	6	6	NUM
ejpam-6693	468	52	8	8	NUM
ejpam-6693	468	53	10	10	NUM
ejpam-6693	468	54	12	12	NUM
ejpam-6693	468	55	14	14	NUM
ejpam-6693	468	56	16	16	NUM
ejpam-6693	468	57	18	18	NUM
ejpam-6693	468	58	20	20	NUM
ejpam-6693	468	59	phase	phase	NOUN
ejpam-6693	468	60	portratis	portratis	PROPN
ejpam-6693	468	61	of	of	ADP
ejpam-6693	468	62	s(t	s(t	PROPN
ejpam-6693	468	63	)	)	PUNCT
ejpam-6693	468	64	,	,	PUNCT
ejpam-6693	468	65	i(t	i(t	PROPN
ejpam-6693	468	66	)	)	PUNCT
ejpam-6693	468	67	,	,	PUNCT
ejpam-6693	468	68	r(t	r(t	NOUN
ejpam-6693	468	69	)	)	PUNCT
ejpam-6693	468	70	by	by	ADP
ejpam-6693	468	71	fdtm	fdtm	NOUN
ejpam-6693	468	72	for	for	ADP
ejpam-6693	468	73	γ=0.5	γ=0.5	NOUN
ejpam-6693	468	74	t	t	NOUN
ejpam-6693	468	75	s	s	PART
ejpam-6693	468	76	(	(	PUNCT
ejpam-6693	468	77	t	t	PROPN
ejpam-6693	468	78	)	)	PUNCT
ejpam-6693	468	79	,	,	PUNCT
ejpam-6693	468	80	i	i	PRON
ejpam-6693	468	81	(	(	PUNCT
ejpam-6693	468	82	t	t	PROPN
ejpam-6693	468	83	)	)	PUNCT
ejpam-6693	468	84	,	,	PUNCT
ejpam-6693	468	85	r	r	NOUN
ejpam-6693	468	86	(	(	PUNCT
ejpam-6693	468	87	t	t	PROPN
ejpam-6693	468	88	)	)	PUNCT
ejpam-6693	468	89	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	468	90	s(t)ladm	s(t)ladm	PROPN
ejpam-6693	468	91	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	468	92	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	468	93	r(t)fdtm	r(t)fdtm	NUM
ejpam-6693	468	94	r(t)ladm	r(t)ladm	NOUN
ejpam-6693	468	95	for	for	ADP
ejpam-6693	468	96	γ	γ	X
ejpam-6693	468	97	=	=	SYM
ejpam-6693	468	98	1	1	NUM
ejpam-6693	468	99	,	,	PUNCT
ejpam-6693	468	100	figure	figure	VERB
ejpam-6693	468	101	11	11	NUM
ejpam-6693	468	102	shows	show	VERB
ejpam-6693	468	103	solution	solution	NOUN
ejpam-6693	468	104	curves	curve	NOUN
ejpam-6693	468	105	for	for	ADP
ejpam-6693	468	106	s(t	s(t	PROPN
ejpam-6693	468	107	)	)	PUNCT
ejpam-6693	468	108	by	by	ADP
ejpam-6693	468	109	fdtm	fdtm	NOUN
ejpam-6693	468	110	,	,	PUNCT
ejpam-6693	468	111	ladm	ladm	ADJ
ejpam-6693	468	112	and	and	CCONJ
ejpam-6693	468	113	rkfa	rkfa	ADJ
ejpam-6693	468	114	.	.	PUNCT
ejpam-6693	469	1	in	in	ADP
ejpam-6693	469	2	the	the	DET
ejpam-6693	469	3	graph	graph	NOUN
ejpam-6693	469	4	,	,	PUNCT
ejpam-6693	469	5	the	the	DET
ejpam-6693	469	6	curves	curve	NOUN
ejpam-6693	469	7	are	be	AUX
ejpam-6693	469	8	respectively	respectively	ADV
ejpam-6693	469	9	named	name	VERB
ejpam-6693	469	10	as	as	ADP
ejpam-6693	469	11	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	469	12	,	,	PUNCT
ejpam-6693	469	13	s(t)ladm	s(t)ladm	NOUN
ejpam-6693	469	14	and	and	CCONJ
ejpam-6693	469	15	s(t)rkfa	s(t)rkfa	NOUN
ejpam-6693	469	16	.	.	PUNCT
ejpam-6693	470	1	in	in	ADP
ejpam-6693	470	2	the	the	DET
ejpam-6693	470	3	figure	figure	NOUN
ejpam-6693	470	4	,	,	PUNCT
ejpam-6693	470	5	we	we	PRON
ejpam-6693	470	6	can	can	AUX
ejpam-6693	470	7	not	not	PART
ejpam-6693	470	8	find	find	VERB
ejpam-6693	470	9	any	any	DET
ejpam-6693	470	10	differences	difference	NOUN
ejpam-6693	470	11	in	in	ADP
ejpam-6693	470	12	the	the	DET
ejpam-6693	470	13	curves	curve	NOUN
ejpam-6693	470	14	just	just	ADV
ejpam-6693	470	15	by	by	ADP
ejpam-6693	470	16	naked	naked	ADJ
ejpam-6693	470	17	eyes	eye	NOUN
ejpam-6693	470	18	and	and	CCONJ
ejpam-6693	470	19	the	the	DET
ejpam-6693	470	20	curves	curve	NOUN
ejpam-6693	470	21	appear	appear	VERB
ejpam-6693	470	22	to	to	PART
ejpam-6693	470	23	be	be	AUX
ejpam-6693	470	24	coincident	coincident	ADJ
ejpam-6693	470	25	and	and	CCONJ
ejpam-6693	470	26	one	one	NOUN
ejpam-6693	470	27	can	can	AUX
ejpam-6693	470	28	not	not	PART
ejpam-6693	470	29	have	have	VERB
ejpam-6693	470	30	better	well	ADJ
ejpam-6693	470	31	understanding	understanding	NOUN
ejpam-6693	470	32	of	of	ADP
ejpam-6693	470	33	which	which	DET
ejpam-6693	470	34	method	method	NOUN
ejpam-6693	470	35	among	among	ADP
ejpam-6693	470	36	fdtm	fdtm	NOUN
ejpam-6693	470	37	and	and	CCONJ
ejpam-6693	470	38	ladm	ladm	NOUN
ejpam-6693	470	39	is	be	AUX
ejpam-6693	470	40	close	close	ADJ
ejpam-6693	470	41	enough	enough	ADV
ejpam-6693	470	42	to	to	PART
ejpam-6693	470	43	rkfd	rkfd	VERB
ejpam-6693	470	44	.	.	PUNCT
ejpam-6693	471	1	to	to	PART
ejpam-6693	471	2	overcome	overcome	VERB
ejpam-6693	471	3	this	this	DET
ejpam-6693	471	4	difficulty	difficulty	NOUN
ejpam-6693	471	5	,	,	PUNCT
ejpam-6693	471	6	we	we	PRON
ejpam-6693	471	7	have	have	AUX
ejpam-6693	471	8	obtained	obtain	VERB
ejpam-6693	471	9	a	a	DET
ejpam-6693	471	10	zoom	zoom	NOUN
ejpam-6693	471	11	-	-	PUNCT
ejpam-6693	471	12	in	in	ADP
ejpam-6693	471	13	figure	figure	NOUN
ejpam-6693	471	14	of	of	ADP
ejpam-6693	471	15	figure	figure	NOUN
ejpam-6693	471	16	11	11	NUM
ejpam-6693	471	17	,	,	PUNCT
ejpam-6693	471	18	which	which	PRON
ejpam-6693	471	19	is	be	AUX
ejpam-6693	471	20	shown	show	VERB
ejpam-6693	471	21	in	in	ADP
ejpam-6693	471	22	figure	figure	NOUN
ejpam-6693	471	23	12	12	NUM
ejpam-6693	471	24	.	.	PUNCT
ejpam-6693	472	1	from	from	ADP
ejpam-6693	472	2	this	this	DET
ejpam-6693	472	3	figure	figure	NOUN
ejpam-6693	472	4	,	,	PUNCT
ejpam-6693	472	5	we	we	PRON
ejpam-6693	472	6	observe	observe	VERB
ejpam-6693	472	7	that	that	SCONJ
ejpam-6693	472	8	the	the	DET
ejpam-6693	472	9	curve	curve	NOUN
ejpam-6693	472	10	obtained	obtain	VERB
ejpam-6693	472	11	by	by	ADP
ejpam-6693	472	12	fdtm	fdtm	NOUN
ejpam-6693	472	13	is	be	AUX
ejpam-6693	472	14	comparatively	comparatively	ADV
ejpam-6693	472	15	colse	colse	ADJ
ejpam-6693	472	16	to	to	ADP
ejpam-6693	472	17	the	the	DET
ejpam-6693	472	18	one	one	NOUN
ejpam-6693	472	19	obtained	obtain	VERB
ejpam-6693	472	20	by	by	ADP
ejpam-6693	472	21	rkfa	rkfa	PROPN
ejpam-6693	472	22	.	.	PUNCT
ejpam-6693	473	1	a	a	DET
ejpam-6693	473	2	similar	similar	ADJ
ejpam-6693	473	3	conclusion	conclusion	NOUN
ejpam-6693	473	4	for	for	ADP
ejpam-6693	473	5	the	the	DET
ejpam-6693	473	6	curves	curve	NOUN
ejpam-6693	473	7	i(t	i(t	NOUN
ejpam-6693	473	8	)	)	PUNCT
ejpam-6693	473	9	and	and	CCONJ
ejpam-6693	473	10	r(t	r(t	NOUN
ejpam-6693	473	11	)	)	PUNCT
ejpam-6693	473	12	can	can	AUX
ejpam-6693	473	13	be	be	AUX
ejpam-6693	473	14	drawn	draw	VERB
ejpam-6693	473	15	form	form	NOUN
ejpam-6693	473	16	the	the	DET
ejpam-6693	473	17	figure	figure	NOUN
ejpam-6693	473	18	13	13	NUM
ejpam-6693	473	19	to	to	PART
ejpam-6693	473	20	figure	figure	VERB
ejpam-6693	473	21	16	16	NUM
ejpam-6693	473	22	.	.	PUNCT
ejpam-6693	474	1	r.	r.	PROPN
ejpam-6693	474	2	m.	m.	PROPN
ejpam-6693	474	3	kamble	kamble	PROPN
ejpam-6693	474	4	,	,	PUNCT
ejpam-6693	474	5	p.	p.	PROPN
ejpam-6693	474	6	r.	r.	PROPN
ejpam-6693	475	1	kulkarni	kulkarni	PROPN
ejpam-6693	475	2	/	/	SYM
ejpam-6693	475	3	eur	eur	PROPN
ejpam-6693	475	4	.	.	PUNCT
ejpam-6693	476	1	j.	j.	PROPN
ejpam-6693	476	2	pure	pure	PROPN
ejpam-6693	476	3	appl	appl	PROPN
ejpam-6693	476	4	.	.	PROPN
ejpam-6693	476	5	math	math	PROPN
ejpam-6693	476	6	,	,	PUNCT
ejpam-6693	476	7	18	18	NUM
ejpam-6693	476	8	(	(	PUNCT
ejpam-6693	476	9	4	4	NUM
ejpam-6693	476	10	)	)	PUNCT
ejpam-6693	476	11	(	(	PUNCT
ejpam-6693	476	12	2025	2025	NUM
ejpam-6693	476	13	)	)	PUNCT
ejpam-6693	476	14	,	,	PUNCT
ejpam-6693	476	15	6693	6693	NUM
ejpam-6693	476	16	29	29	NUM
ejpam-6693	476	17	of	of	ADP
ejpam-6693	476	18	40	40	NUM
ejpam-6693	476	19	figure	figure	NOUN
ejpam-6693	476	20	11	11	NUM
ejpam-6693	476	21	:	:	PUNCT
ejpam-6693	476	22	comparison	comparison	NOUN
ejpam-6693	476	23	of	of	ADP
ejpam-6693	476	24	graphs	graph	NOUN
ejpam-6693	476	25	of	of	ADP
ejpam-6693	476	26	s(t	s(t	PROPN
ejpam-6693	476	27	)	)	PUNCT
ejpam-6693	476	28	by	by	ADP
ejpam-6693	476	29	fdtm	fdtm	NOUN
ejpam-6693	476	30	,	,	PUNCT
ejpam-6693	476	31	ladm	ladm	ADJ
ejpam-6693	476	32	and	and	CCONJ
ejpam-6693	476	33	rkfa	rkfa	VERB
ejpam-6693	476	34	for	for	ADP
ejpam-6693	476	35	γ	γ	X
ejpam-6693	476	36	=	=	SYM
ejpam-6693	476	37	1	1	NUM
ejpam-6693	476	38	0	0	NUM
ejpam-6693	476	39	0.2	0.2	NUM
ejpam-6693	476	40	0.4	0.4	NUM
ejpam-6693	476	41	0.6	0.6	NUM
ejpam-6693	476	42	0.8	0.8	NUM
ejpam-6693	476	43	1	1	NUM
ejpam-6693	476	44	1.2	1.2	NUM
ejpam-6693	476	45	1.4	1.4	NUM
ejpam-6693	476	46	1.6	1.6	NUM
ejpam-6693	476	47	1.8	1.8	NUM
ejpam-6693	476	48	2	2	NUM
ejpam-6693	476	49	15.5	15.5	NUM
ejpam-6693	476	50	16	16	NUM
ejpam-6693	476	51	16.5	16.5	NUM
ejpam-6693	476	52	17	17	NUM
ejpam-6693	476	53	17.5	17.5	NUM
ejpam-6693	476	54	18	18	NUM
ejpam-6693	476	55	18.5	18.5	NUM
ejpam-6693	476	56	19	19	NUM
ejpam-6693	476	57	19.5	19.5	NUM
ejpam-6693	476	58	20	20	NUM
ejpam-6693	476	59	t	t	NOUN
ejpam-6693	476	60	s	s	PART
ejpam-6693	476	61	(	(	PUNCT
ejpam-6693	476	62	t	t	NOUN
ejpam-6693	476	63	)	)	PUNCT
ejpam-6693	476	64	s(t	s(t	PROPN
ejpam-6693	476	65	)	)	PUNCT
ejpam-6693	476	66	by	by	ADP
ejpam-6693	476	67	fdtm	fdtm	NOUN
ejpam-6693	476	68	,	,	PUNCT
ejpam-6693	476	69	ladm	ladm	ADJ
ejpam-6693	476	70	and	and	CCONJ
ejpam-6693	476	71	rkfa	rkfa	VERB
ejpam-6693	476	72	for	for	ADP
ejpam-6693	476	73	γ=1	γ=1	PUNCT
ejpam-6693	476	74	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	476	75	s(t)ladm	s(t)ladm	NOUN
ejpam-6693	476	76	s(t)rkfa	s(t)rkfa	X
ejpam-6693	477	1	figure	figure	VERB
ejpam-6693	477	2	12	12	NUM
ejpam-6693	477	3	:	:	PUNCT
ejpam-6693	477	4	zoom	zoom	NUM
ejpam-6693	477	5	-	-	PUNCT
ejpam-6693	477	6	in	in	ADP
ejpam-6693	477	7	s(t	s(t	NOUN
ejpam-6693	477	8	)	)	PUNCT
ejpam-6693	477	9	by	by	ADP
ejpam-6693	477	10	fdtm	fdtm	NOUN
ejpam-6693	477	11	and	and	CCONJ
ejpam-6693	477	12	ladm	ladm	VERB
ejpam-6693	477	13	for	for	ADP
ejpam-6693	477	14	γ	γ	X
ejpam-6693	477	15	=	=	SYM
ejpam-6693	477	16	1	1	NUM
ejpam-6693	477	17	1.986	1.986	NUM
ejpam-6693	477	18	1.988	1.988	NUM
ejpam-6693	477	19	1.99	1.99	NUM
ejpam-6693	477	20	1.992	1.992	NUM
ejpam-6693	477	21	1.994	1.994	NUM
ejpam-6693	477	22	1.996	1.996	NUM
ejpam-6693	477	23	1.998	1.998	NUM
ejpam-6693	477	24	2	2	NUM
ejpam-6693	477	25	15.965	15.965	NUM
ejpam-6693	477	26	15.97	15.97	NUM
ejpam-6693	477	27	15.975	15.975	NUM
ejpam-6693	477	28	15.98	15.98	NUM
ejpam-6693	477	29	15.985	15.985	NUM
ejpam-6693	477	30	15.99	15.99	NUM
ejpam-6693	477	31	15.995	15.995	NUM
ejpam-6693	477	32	t	t	PROPN
ejpam-6693	477	33	s	s	PART
ejpam-6693	477	34	(	(	PUNCT
ejpam-6693	477	35	t	t	NOUN
ejpam-6693	477	36	)	)	PUNCT
ejpam-6693	477	37	s(t	s(t	PROPN
ejpam-6693	477	38	)	)	PUNCT
ejpam-6693	477	39	by	by	ADP
ejpam-6693	477	40	fdtm	fdtm	NOUN
ejpam-6693	477	41	,	,	PUNCT
ejpam-6693	477	42	ladm	ladm	ADJ
ejpam-6693	477	43	and	and	CCONJ
ejpam-6693	477	44	rkfa	rkfa	VERB
ejpam-6693	477	45	for	for	ADP
ejpam-6693	477	46	γ=1	γ=1	PUNCT
ejpam-6693	477	47	s(t)fdtm	s(t)fdtm	VERB
ejpam-6693	477	48	s(t)ladm	s(t)ladm	NOUN
ejpam-6693	477	49	s(t)rkfa	s(t)rkfa	PROPN
ejpam-6693	477	50	r.	r.	PROPN
ejpam-6693	477	51	m.	m.	PROPN
ejpam-6693	477	52	kamble	kamble	PROPN
ejpam-6693	477	53	,	,	PUNCT
ejpam-6693	477	54	p.	p.	PROPN
ejpam-6693	477	55	r.	r.	PROPN
ejpam-6693	477	56	kulkarni	kulkarni	PROPN
ejpam-6693	477	57	/	/	SYM
ejpam-6693	477	58	eur	eur	PROPN
ejpam-6693	477	59	.	.	PUNCT
ejpam-6693	478	1	j.	j.	PROPN
ejpam-6693	478	2	pure	pure	PROPN
ejpam-6693	478	3	appl	appl	PROPN
ejpam-6693	478	4	.	.	PROPN
ejpam-6693	478	5	math	math	PROPN
ejpam-6693	478	6	,	,	PUNCT
ejpam-6693	478	7	18	18	NUM
ejpam-6693	478	8	(	(	PUNCT
ejpam-6693	478	9	4	4	NUM
ejpam-6693	478	10	)	)	PUNCT
ejpam-6693	478	11	(	(	PUNCT
ejpam-6693	478	12	2025	2025	NUM
ejpam-6693	478	13	)	)	PUNCT
ejpam-6693	478	14	,	,	PUNCT
ejpam-6693	478	15	6693	6693	NUM
ejpam-6693	478	16	30	30	NUM
ejpam-6693	478	17	of	of	ADP
ejpam-6693	478	18	40	40	NUM
ejpam-6693	478	19	figure	figure	NOUN
ejpam-6693	478	20	13	13	NUM
ejpam-6693	478	21	:	:	PUNCT
ejpam-6693	478	22	comparison	comparison	NOUN
ejpam-6693	478	23	of	of	ADP
ejpam-6693	478	24	graphs	graph	NOUN
ejpam-6693	478	25	of	of	ADP
ejpam-6693	478	26	i(t	i(t	NOUN
ejpam-6693	478	27	)	)	PUNCT
ejpam-6693	478	28	by	by	ADP
ejpam-6693	478	29	fdtm	fdtm	NOUN
ejpam-6693	478	30	and	and	CCONJ
ejpam-6693	478	31	ladm	ladm	VERB
ejpam-6693	478	32	for	for	ADP
ejpam-6693	478	33	γ	γ	X
ejpam-6693	478	34	=	=	SYM
ejpam-6693	478	35	1	1	NUM
ejpam-6693	478	36	0	0	NUM
ejpam-6693	478	37	0.5	0.5	NUM
ejpam-6693	478	38	1	1	NUM
ejpam-6693	478	39	1.5	1.5	NUM
ejpam-6693	478	40	2	2	NUM
ejpam-6693	478	41	10.5	10.5	NUM
ejpam-6693	478	42	11	11	NUM
ejpam-6693	478	43	11.5	11.5	NUM
ejpam-6693	478	44	12	12	NUM
ejpam-6693	478	45	12.5	12.5	NUM
ejpam-6693	478	46	13	13	NUM
ejpam-6693	478	47	13.5	13.5	NUM
ejpam-6693	478	48	14	14	NUM
ejpam-6693	478	49	14.5	14.5	NUM
ejpam-6693	478	50	15	15	NUM
ejpam-6693	478	51	t	t	NOUN
ejpam-6693	478	52	i	i	PRON
ejpam-6693	478	53	(	(	PUNCT
ejpam-6693	478	54	t	t	PROPN
ejpam-6693	478	55	)	)	PUNCT
ejpam-6693	478	56	i(t	i(t	PROPN
ejpam-6693	478	57	)	)	PUNCT
ejpam-6693	478	58	by	by	ADP
ejpam-6693	478	59	fdtm	fdtm	NOUN
ejpam-6693	478	60	,	,	PUNCT
ejpam-6693	478	61	ladm	ladm	ADJ
ejpam-6693	478	62	and	and	CCONJ
ejpam-6693	478	63	rkfa	rkfa	VERB
ejpam-6693	478	64	for	for	ADP
ejpam-6693	478	65	γ=1	γ=1	PUNCT
ejpam-6693	478	66	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	478	67	i(t)ladm	i(t)ladm	PROPN
ejpam-6693	478	68	i(t)rkfa	i(t)rkfa	PROPN
ejpam-6693	478	69	r.	r.	PROPN
ejpam-6693	478	70	m.	m.	PROPN
ejpam-6693	478	71	kamble	kamble	PROPN
ejpam-6693	478	72	,	,	PUNCT
ejpam-6693	479	1	p.	p.	PROPN
ejpam-6693	479	2	r.	r.	PROPN
ejpam-6693	480	1	kulkarni	kulkarni	PROPN
ejpam-6693	480	2	/	/	SYM
ejpam-6693	480	3	eur	eur	PROPN
ejpam-6693	480	4	.	.	PUNCT
ejpam-6693	481	1	j.	j.	PROPN
ejpam-6693	481	2	pure	pure	PROPN
ejpam-6693	481	3	appl	appl	PROPN
ejpam-6693	481	4	.	.	PROPN
ejpam-6693	481	5	math	math	PROPN
ejpam-6693	481	6	,	,	PUNCT
ejpam-6693	481	7	18	18	NUM
ejpam-6693	481	8	(	(	PUNCT
ejpam-6693	481	9	4	4	NUM
ejpam-6693	481	10	)	)	PUNCT
ejpam-6693	481	11	(	(	PUNCT
ejpam-6693	481	12	2025	2025	NUM
ejpam-6693	481	13	)	)	PUNCT
ejpam-6693	481	14	,	,	PUNCT
ejpam-6693	481	15	6693	6693	NUM
ejpam-6693	481	16	31	31	NUM
ejpam-6693	481	17	of	of	ADP
ejpam-6693	481	18	40	40	NUM
ejpam-6693	481	19	figure	figure	NOUN
ejpam-6693	481	20	14	14	NUM
ejpam-6693	481	21	:	:	PUNCT
ejpam-6693	481	22	zoom	zoom	NUM
ejpam-6693	481	23	-	-	PUNCT
ejpam-6693	481	24	in	in	ADP
ejpam-6693	481	25	i(t	i(t	NOUN
ejpam-6693	481	26	)	)	PUNCT
ejpam-6693	481	27	by	by	ADP
ejpam-6693	481	28	fdtm	fdtm	NOUN
ejpam-6693	481	29	and	and	CCONJ
ejpam-6693	481	30	ladm	ladm	VERB
ejpam-6693	481	31	for	for	ADP
ejpam-6693	481	32	γ	γ	X
ejpam-6693	481	33	=	=	SYM
ejpam-6693	481	34	1	1	NUM
ejpam-6693	481	35	1.974	1.974	NUM
ejpam-6693	481	36	1.976	1.976	NUM
ejpam-6693	481	37	1.978	1.978	NUM
ejpam-6693	481	38	1.98	1.98	NUM
ejpam-6693	481	39	1.982	1.982	NUM
ejpam-6693	481	40	1.984	1.984	NUM
ejpam-6693	481	41	1.986	1.986	NUM
ejpam-6693	481	42	1.988	1.988	NUM
ejpam-6693	481	43	10.825	10.825	NUM
ejpam-6693	481	44	10.83	10.83	NUM
ejpam-6693	481	45	10.835	10.835	NUM
ejpam-6693	481	46	10.84	10.84	NUM
ejpam-6693	481	47	10.845	10.845	NUM
ejpam-6693	481	48	10.85	10.85	NUM
ejpam-6693	481	49	10.855	10.855	NUM
ejpam-6693	481	50	t	t	NOUN
ejpam-6693	481	51	i	i	PRON
ejpam-6693	481	52	(	(	PUNCT
ejpam-6693	481	53	t	t	PROPN
ejpam-6693	481	54	)	)	PUNCT
ejpam-6693	481	55	i(t	i(t	PROPN
ejpam-6693	481	56	)	)	PUNCT
ejpam-6693	481	57	by	by	ADP
ejpam-6693	481	58	fdtm	fdtm	NOUN
ejpam-6693	481	59	,	,	PUNCT
ejpam-6693	481	60	ladm	ladm	ADJ
ejpam-6693	481	61	and	and	CCONJ
ejpam-6693	481	62	rkfa	rkfa	VERB
ejpam-6693	481	63	for	for	ADP
ejpam-6693	481	64	γ=1	γ=1	PUNCT
ejpam-6693	481	65	i(t)fdtm	i(t)fdtm	PROPN
ejpam-6693	481	66	i(t)ladm	i(t)ladm	VERB
ejpam-6693	481	67	i(t)rkfa	i(t)rkfa	X
ejpam-6693	481	68	figure	figure	VERB
ejpam-6693	481	69	15	15	NUM
ejpam-6693	481	70	:	:	PUNCT
ejpam-6693	481	71	r(t	r(t	NOUN
ejpam-6693	481	72	)	)	PUNCT
ejpam-6693	481	73	by	by	ADP
ejpam-6693	481	74	fdtm	fdtm	NOUN
ejpam-6693	481	75	and	and	CCONJ
ejpam-6693	481	76	ladm	ladm	VERB
ejpam-6693	481	77	for	for	ADP
ejpam-6693	481	78	γ	γ	X
ejpam-6693	481	79	=	=	SYM
ejpam-6693	482	1	1	1	NUM
ejpam-6693	482	2	0	0	NUM
ejpam-6693	482	3	0.2	0.2	NUM
ejpam-6693	482	4	0.4	0.4	NUM
ejpam-6693	482	5	0.6	0.6	NUM
ejpam-6693	482	6	0.8	0.8	NUM
ejpam-6693	482	7	1	1	NUM
ejpam-6693	482	8	1.2	1.2	NUM
ejpam-6693	482	9	1.4	1.4	NUM
ejpam-6693	482	10	1.6	1.6	NUM
ejpam-6693	482	11	1.8	1.8	NUM
ejpam-6693	482	12	2	2	NUM
ejpam-6693	482	13	10	10	NUM
ejpam-6693	482	14	10.1	10.1	NUM
ejpam-6693	482	15	10.2	10.2	NUM
ejpam-6693	482	16	10.3	10.3	NUM
ejpam-6693	482	17	10.4	10.4	NUM
ejpam-6693	482	18	10.5	10.5	NUM
ejpam-6693	482	19	10.6	10.6	NUM
ejpam-6693	482	20	t	t	NOUN
ejpam-6693	482	21	r	r	PROPN
ejpam-6693	482	22	(	(	PUNCT
ejpam-6693	482	23	t	t	NOUN
ejpam-6693	482	24	)	)	PUNCT
ejpam-6693	482	25	r(t	r(t	NOUN
ejpam-6693	482	26	)	)	PUNCT
ejpam-6693	482	27	by	by	ADP
ejpam-6693	482	28	fdtm	fdtm	NOUN
ejpam-6693	482	29	,	,	PUNCT
ejpam-6693	483	1	ladm	ladm	ADJ
ejpam-6693	483	2	and	and	CCONJ
ejpam-6693	483	3	rkfa	rkfa	VERB
ejpam-6693	483	4	for	for	ADP
ejpam-6693	483	5	γ=1	γ=1	PUNCT
ejpam-6693	483	6	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	483	7	r(t)ladm	r(t)ladm	NOUN
ejpam-6693	483	8	r(t)rkfa	r(t)rkfa	NUM
ejpam-6693	483	9	r.	r.	PROPN
ejpam-6693	483	10	m.	m.	PROPN
ejpam-6693	483	11	kamble	kamble	PROPN
ejpam-6693	483	12	,	,	PUNCT
ejpam-6693	483	13	p.	p.	PROPN
ejpam-6693	483	14	r.	r.	PROPN
ejpam-6693	483	15	kulkarni	kulkarni	PROPN
ejpam-6693	483	16	/	/	SYM
ejpam-6693	483	17	eur	eur	PROPN
ejpam-6693	483	18	.	.	PUNCT
ejpam-6693	484	1	j.	j.	PROPN
ejpam-6693	484	2	pure	pure	PROPN
ejpam-6693	484	3	appl	appl	PROPN
ejpam-6693	484	4	.	.	PROPN
ejpam-6693	484	5	math	math	PROPN
ejpam-6693	484	6	,	,	PUNCT
ejpam-6693	484	7	18	18	NUM
ejpam-6693	484	8	(	(	PUNCT
ejpam-6693	484	9	4	4	NUM
ejpam-6693	484	10	)	)	PUNCT
ejpam-6693	484	11	(	(	PUNCT
ejpam-6693	484	12	2025	2025	NUM
ejpam-6693	484	13	)	)	PUNCT
ejpam-6693	484	14	,	,	PUNCT
ejpam-6693	484	15	6693	6693	NUM
ejpam-6693	484	16	32	32	NUM
ejpam-6693	484	17	of	of	ADP
ejpam-6693	484	18	40	40	NUM
ejpam-6693	484	19	figure	figure	NOUN
ejpam-6693	484	20	16	16	NUM
ejpam-6693	484	21	:	:	PUNCT
ejpam-6693	484	22	zoom	zoom	NUM
ejpam-6693	484	23	-	-	PUNCT
ejpam-6693	484	24	in	in	ADP
ejpam-6693	484	25	r(t	r(t	NOUN
ejpam-6693	484	26	)	)	PUNCT
ejpam-6693	484	27	by	by	ADP
ejpam-6693	484	28	fdtm	fdtm	NOUN
ejpam-6693	484	29	and	and	CCONJ
ejpam-6693	484	30	ladm	ladm	VERB
ejpam-6693	484	31	for	for	ADP
ejpam-6693	484	32	γ	γ	X
ejpam-6693	484	33	=	=	SYM
ejpam-6693	484	34	1	1	NUM
ejpam-6693	484	35	1.9772	1.9772	NUM
ejpam-6693	484	36	1.9773	1.9773	NUM
ejpam-6693	484	37	1.9774	1.9774	NUM
ejpam-6693	484	38	1.9775	1.9775	NUM
ejpam-6693	484	39	1.9776	1.9776	NUM
ejpam-6693	484	40	1.9777	1.9777	NUM
ejpam-6693	484	41	1.9778	1.9778	NUM
ejpam-6693	484	42	1.9779	1.9779	NUM
ejpam-6693	484	43	1.978	1.978	NUM
ejpam-6693	484	44	1.9781	1.9781	NUM
ejpam-6693	484	45	10.5066	10.5066	NUM
ejpam-6693	484	46	10.5067	10.5067	NUM
ejpam-6693	484	47	10.5067	10.5067	NUM
ejpam-6693	484	48	10.5068	10.5068	NUM
ejpam-6693	484	49	10.5068	10.5068	NUM
ejpam-6693	484	50	t	t	NOUN
ejpam-6693	484	51	r	r	PROPN
ejpam-6693	484	52	(	(	PUNCT
ejpam-6693	484	53	t	t	NOUN
ejpam-6693	484	54	)	)	PUNCT
ejpam-6693	484	55	r(t	r(t	NOUN
ejpam-6693	484	56	)	)	PUNCT
ejpam-6693	484	57	by	by	ADP
ejpam-6693	484	58	fdtm	fdtm	NOUN
ejpam-6693	484	59	,	,	PUNCT
ejpam-6693	484	60	ladm	ladm	ADJ
ejpam-6693	484	61	and	and	CCONJ
ejpam-6693	484	62	rkfa	rkfa	VERB
ejpam-6693	484	63	for	for	ADP
ejpam-6693	484	64	γ=1	γ=1	PUNCT
ejpam-6693	484	65	r(t)fdtm	r(t)fdtm	VERB
ejpam-6693	484	66	r(t)ladm	r(t)ladm	NOUN
ejpam-6693	484	67	r(t)rkfa	r(t)rkfa	NOUN
ejpam-6693	484	68	the	the	DET
ejpam-6693	484	69	figure	figure	NOUN
ejpam-6693	484	70	17	17	NUM
ejpam-6693	484	71	shows	show	VERB
ejpam-6693	484	72	the	the	DET
ejpam-6693	484	73	estimate	estimate	NOUN
ejpam-6693	484	74	of	of	ADP
ejpam-6693	484	75	absolute	absolute	ADJ
ejpam-6693	484	76	errors	error	NOUN
ejpam-6693	484	77	in	in	ADP
ejpam-6693	484	78	s(t	s(t	PROPN
ejpam-6693	484	79	)	)	PUNCT
ejpam-6693	484	80	by	by	ADP
ejpam-6693	484	81	fdtm	fdtm	NOUN
ejpam-6693	484	82	and	and	CCONJ
ejpam-6693	484	83	ladm	ladm	ADJ
ejpam-6693	484	84	with	with	ADP
ejpam-6693	484	85	respect	respect	NOUN
ejpam-6693	484	86	to	to	ADP
ejpam-6693	484	87	rkfa	rkfa	PROPN
ejpam-6693	484	88	.	.	PUNCT
ejpam-6693	485	1	in	in	ADP
ejpam-6693	485	2	the	the	DET
ejpam-6693	485	3	figure	figure	NOUN
ejpam-6693	485	4	,	,	PUNCT
ejpam-6693	485	5	we	we	PRON
ejpam-6693	485	6	observe	observe	VERB
ejpam-6693	485	7	that	that	SCONJ
ejpam-6693	485	8	the	the	DET
ejpam-6693	485	9	absolute	absolute	ADJ
ejpam-6693	485	10	error	error	NOUN
ejpam-6693	485	11	by	by	ADP
ejpam-6693	485	12	fdtm	fdtm	NOUN
ejpam-6693	485	13	is	be	AUX
ejpam-6693	485	14	almost	almost	ADV
ejpam-6693	485	15	close	close	ADJ
ejpam-6693	485	16	to	to	ADP
ejpam-6693	485	17	zero	zero	NUM
ejpam-6693	485	18	and	and	CCONJ
ejpam-6693	485	19	the	the	DET
ejpam-6693	485	20	curve	curve	NOUN
ejpam-6693	485	21	is	be	AUX
ejpam-6693	485	22	going	go	VERB
ejpam-6693	485	23	parallel	parallel	ADJ
ejpam-6693	485	24	to	to	ADP
ejpam-6693	485	25	the	the	DET
ejpam-6693	485	26	x	x	NOUN
ejpam-6693	485	27	-	-	NOUN
ejpam-6693	485	28	axis	axis	NOUN
ejpam-6693	485	29	while	while	SCONJ
ejpam-6693	485	30	the	the	DET
ejpam-6693	485	31	error	error	NOUN
ejpam-6693	485	32	by	by	ADP
ejpam-6693	485	33	ladm	ladm	NOUN
ejpam-6693	485	34	is	be	AUX
ejpam-6693	485	35	though	though	ADV
ejpam-6693	485	36	in	in	ADP
ejpam-6693	485	37	between	between	ADP
ejpam-6693	485	38	10−2	10−2	NUM
ejpam-6693	485	39	and	and	CCONJ
ejpam-6693	485	40	10−4	10−4	NUM
ejpam-6693	485	41	,	,	PUNCT
ejpam-6693	485	42	but	but	CCONJ
ejpam-6693	485	43	still	still	ADV
ejpam-6693	485	44	growing	grow	VERB
ejpam-6693	485	45	exponentially	exponentially	ADV
ejpam-6693	485	46	.	.	PUNCT
ejpam-6693	486	1	the	the	DET
ejpam-6693	486	2	figure	figure	NOUN
ejpam-6693	486	3	18	18	NUM
ejpam-6693	486	4	shows	show	VERB
ejpam-6693	486	5	the	the	DET
ejpam-6693	486	6	error	error	NOUN
ejpam-6693	486	7	in	in	ADP
ejpam-6693	486	8	i(t	i(t	PROPN
ejpam-6693	486	9	)	)	PUNCT
ejpam-6693	486	10	and	and	CCONJ
ejpam-6693	486	11	the	the	DET
ejpam-6693	486	12	figure	figure	NOUN
ejpam-6693	486	13	19	19	NUM
ejpam-6693	486	14	shows	show	VERB
ejpam-6693	486	15	the	the	DET
ejpam-6693	486	16	error	error	NOUN
ejpam-6693	486	17	in	in	ADP
ejpam-6693	486	18	r(t	r(t	NOUN
ejpam-6693	486	19	)	)	PUNCT
ejpam-6693	486	20	.	.	PUNCT
ejpam-6693	487	1	r.	r.	PROPN
ejpam-6693	487	2	m.	m.	PROPN
ejpam-6693	487	3	kamble	kamble	PROPN
ejpam-6693	487	4	,	,	PUNCT
ejpam-6693	487	5	p.	p.	PROPN
ejpam-6693	487	6	r.	r.	PROPN
ejpam-6693	488	1	kulkarni	kulkarni	PROPN
ejpam-6693	488	2	/	/	SYM
ejpam-6693	488	3	eur	eur	PROPN
ejpam-6693	488	4	.	.	PUNCT
ejpam-6693	489	1	j.	j.	PROPN
ejpam-6693	489	2	pure	pure	PROPN
ejpam-6693	489	3	appl	appl	PROPN
ejpam-6693	489	4	.	.	PROPN
ejpam-6693	489	5	math	math	PROPN
ejpam-6693	489	6	,	,	PUNCT
ejpam-6693	489	7	18	18	NUM
ejpam-6693	489	8	(	(	PUNCT
ejpam-6693	489	9	4	4	NUM
ejpam-6693	489	10	)	)	PUNCT
ejpam-6693	489	11	(	(	PUNCT
ejpam-6693	489	12	2025	2025	NUM
ejpam-6693	489	13	)	)	PUNCT
ejpam-6693	489	14	,	,	PUNCT
ejpam-6693	489	15	6693	6693	NUM
ejpam-6693	489	16	33	33	NUM
ejpam-6693	489	17	of	of	ADP
ejpam-6693	489	18	40	40	NUM
ejpam-6693	489	19	figure	figure	NOUN
ejpam-6693	489	20	17	17	NUM
ejpam-6693	489	21	:	:	PUNCT
ejpam-6693	489	22	error	error	NOUN
ejpam-6693	489	23	in	in	ADP
ejpam-6693	489	24	s(t	s(t	PROPN
ejpam-6693	489	25	)	)	PUNCT
ejpam-6693	489	26	by	by	ADP
ejpam-6693	489	27	fdtm	fdtm	NOUN
ejpam-6693	489	28	and	and	CCONJ
ejpam-6693	489	29	ladm	ladm	VERB
ejpam-6693	489	30	for	for	ADP
ejpam-6693	489	31	γ	γ	X
ejpam-6693	489	32	=	=	SYM
ejpam-6693	489	33	1	1	NUM
ejpam-6693	489	34	0	0	NUM
ejpam-6693	489	35	0.5	0.5	NUM
ejpam-6693	489	36	1	1	NUM
ejpam-6693	489	37	1.5	1.5	NUM
ejpam-6693	489	38	2	2	NUM
ejpam-6693	489	39	0	0	NUM
ejpam-6693	489	40	0.005	0.005	NUM
ejpam-6693	489	41	0.01	0.01	NUM
ejpam-6693	489	42	0.015	0.015	NUM
ejpam-6693	489	43	0.02	0.02	NUM
ejpam-6693	489	44	0.025	0.025	NUM
ejpam-6693	489	45	0.03	0.03	NUM
ejpam-6693	489	46	0.035	0.035	NUM
ejpam-6693	489	47	t	t	NOUN
ejpam-6693	489	48	e	e	X
ejpam-6693	489	49	r	r	X
ejpam-6693	489	50	[	[	PUNCT
ejpam-6693	489	51	s	s	X
ejpam-6693	489	52	(	(	PUNCT
ejpam-6693	489	53	t	t	NOUN
ejpam-6693	489	54	)	)	PUNCT
ejpam-6693	489	55	]	]	PUNCT
ejpam-6693	489	56	error	error	NOUN
ejpam-6693	489	57	in	in	ADP
ejpam-6693	489	58	s(t	s(t	PROPN
ejpam-6693	489	59	)	)	PUNCT
ejpam-6693	489	60	by	by	ADP
ejpam-6693	489	61	fdtm	fdtm	NOUN
ejpam-6693	489	62	,	,	PUNCT
ejpam-6693	489	63	ladm	ladm	ADJ
ejpam-6693	489	64	with	with	ADP
ejpam-6693	489	65	respect	respect	NOUN
ejpam-6693	489	66	to	to	PART
ejpam-6693	489	67	rkfa	rkfa	VERB
ejpam-6693	489	68	for	for	ADP
ejpam-6693	489	69	γ=1	γ=1	X
ejpam-6693	489	70	erfdtm[s(t	erfdtm[s(t	PROPN
ejpam-6693	489	71	)	)	PUNCT
ejpam-6693	489	72	]	]	PUNCT
ejpam-6693	489	73	erladm[s(t	erladm[s(t	NOUN
ejpam-6693	489	74	)	)	PUNCT
ejpam-6693	489	75	]	]	PUNCT
ejpam-6693	490	1	r.	r.	PROPN
ejpam-6693	490	2	m.	m.	PROPN
ejpam-6693	490	3	kamble	kamble	PROPN
ejpam-6693	490	4	,	,	PUNCT
ejpam-6693	490	5	p.	p.	PROPN
ejpam-6693	490	6	r.	r.	PROPN
ejpam-6693	490	7	kulkarni	kulkarni	PROPN
ejpam-6693	490	8	/	/	SYM
ejpam-6693	490	9	eur	eur	PROPN
ejpam-6693	490	10	.	.	PUNCT
ejpam-6693	491	1	j.	j.	PROPN
ejpam-6693	491	2	pure	pure	PROPN
ejpam-6693	491	3	appl	appl	PROPN
ejpam-6693	491	4	.	.	PROPN
ejpam-6693	491	5	math	math	PROPN
ejpam-6693	491	6	,	,	PUNCT
ejpam-6693	491	7	18	18	NUM
ejpam-6693	491	8	(	(	PUNCT
ejpam-6693	491	9	4	4	NUM
ejpam-6693	491	10	)	)	PUNCT
ejpam-6693	491	11	(	(	PUNCT
ejpam-6693	491	12	2025	2025	NUM
ejpam-6693	491	13	)	)	PUNCT
ejpam-6693	491	14	,	,	PUNCT
ejpam-6693	491	15	6693	6693	NUM
ejpam-6693	491	16	34	34	NUM
ejpam-6693	491	17	of	of	ADP
ejpam-6693	491	18	40	40	NUM
ejpam-6693	491	19	figure	figure	NOUN
ejpam-6693	491	20	18	18	NUM
ejpam-6693	491	21	:	:	PUNCT
ejpam-6693	491	22	error	error	NOUN
ejpam-6693	491	23	in	in	ADP
ejpam-6693	491	24	i(t	i(t	NOUN
ejpam-6693	491	25	)	)	PUNCT
ejpam-6693	491	26	by	by	ADP
ejpam-6693	491	27	fdtm	fdtm	NOUN
ejpam-6693	491	28	and	and	CCONJ
ejpam-6693	491	29	ladm	ladm	VERB
ejpam-6693	491	30	for	for	ADP
ejpam-6693	491	31	γ	γ	X
ejpam-6693	491	32	=	=	SYM
ejpam-6693	491	33	1	1	NUM
ejpam-6693	491	34	0	0	NUM
ejpam-6693	491	35	0.5	0.5	NUM
ejpam-6693	491	36	1	1	NUM
ejpam-6693	491	37	1.5	1.5	NUM
ejpam-6693	491	38	2	2	NUM
ejpam-6693	491	39	0	0	NUM
ejpam-6693	491	40	0.02	0.02	NUM
ejpam-6693	491	41	0.04	0.04	NUM
ejpam-6693	491	42	0.06	0.06	NUM
ejpam-6693	491	43	0.08	0.08	NUM
ejpam-6693	491	44	0.1	0.1	NUM
ejpam-6693	491	45	0.12	0.12	NUM
ejpam-6693	491	46	t	t	NOUN
ejpam-6693	491	47	e	e	X
ejpam-6693	491	48	r	r	X
ejpam-6693	491	49	[	[	PUNCT
ejpam-6693	491	50	i	i	PROPN
ejpam-6693	491	51	(	(	PUNCT
ejpam-6693	491	52	t	t	PROPN
ejpam-6693	491	53	)	)	PUNCT
ejpam-6693	491	54	]	]	PUNCT
ejpam-6693	492	1	error	error	NOUN
ejpam-6693	492	2	in	in	ADP
ejpam-6693	492	3	i(t	i(t	NOUN
ejpam-6693	492	4	)	)	PUNCT
ejpam-6693	492	5	by	by	ADP
ejpam-6693	492	6	fdtm	fdtm	NOUN
ejpam-6693	492	7	,	,	PUNCT
ejpam-6693	492	8	ladm	ladm	ADJ
ejpam-6693	492	9	with	with	ADP
ejpam-6693	492	10	respect	respect	NOUN
ejpam-6693	492	11	to	to	PART
ejpam-6693	492	12	rkfa	rkfa	VERB
ejpam-6693	492	13	for	for	ADP
ejpam-6693	492	14	γ=1	γ=1	SYM
ejpam-6693	492	15	erfdtm[i(t	erfdtm[i(t	NUM
ejpam-6693	492	16	)	)	PUNCT
ejpam-6693	492	17	]	]	PUNCT
ejpam-6693	492	18	erladm[i(t	erladm[i(t	NUM
ejpam-6693	492	19	)	)	PUNCT
ejpam-6693	492	20	]	]	PUNCT
ejpam-6693	492	21	r.	r.	PROPN
ejpam-6693	492	22	m.	m.	PROPN
ejpam-6693	492	23	kamble	kamble	PROPN
ejpam-6693	492	24	,	,	PUNCT
ejpam-6693	493	1	p.	p.	PROPN
ejpam-6693	493	2	r.	r.	PROPN
ejpam-6693	494	1	kulkarni	kulkarni	PROPN
ejpam-6693	494	2	/	/	SYM
ejpam-6693	494	3	eur	eur	PROPN
ejpam-6693	494	4	.	.	PUNCT
ejpam-6693	495	1	j.	j.	PROPN
ejpam-6693	495	2	pure	pure	PROPN
ejpam-6693	495	3	appl	appl	PROPN
ejpam-6693	495	4	.	.	PROPN
ejpam-6693	495	5	math	math	PROPN
ejpam-6693	495	6	,	,	PUNCT
ejpam-6693	495	7	18	18	NUM
ejpam-6693	495	8	(	(	PUNCT
ejpam-6693	495	9	4	4	NUM
ejpam-6693	495	10	)	)	PUNCT
ejpam-6693	495	11	(	(	PUNCT
ejpam-6693	495	12	2025	2025	NUM
ejpam-6693	495	13	)	)	PUNCT
ejpam-6693	495	14	,	,	PUNCT
ejpam-6693	495	15	6693	6693	NUM
ejpam-6693	495	16	35	35	NUM
ejpam-6693	495	17	of	of	ADP
ejpam-6693	495	18	40	40	NUM
ejpam-6693	495	19	figure	figure	NOUN
ejpam-6693	495	20	19	19	NUM
ejpam-6693	495	21	:	:	PUNCT
ejpam-6693	495	22	error	error	NOUN
ejpam-6693	495	23	in	in	ADP
ejpam-6693	495	24	r(t	r(t	NOUN
ejpam-6693	495	25	)	)	PUNCT
ejpam-6693	495	26	by	by	ADP
ejpam-6693	495	27	fdtm	fdtm	NOUN
ejpam-6693	495	28	and	and	CCONJ
ejpam-6693	495	29	ladm	ladm	VERB
ejpam-6693	495	30	for	for	ADP
ejpam-6693	495	31	γ	γ	X
ejpam-6693	495	32	=	=	SYM
ejpam-6693	495	33	1	1	NUM
ejpam-6693	495	34	0	0	NUM
ejpam-6693	495	35	0.5	0.5	NUM
ejpam-6693	495	36	1	1	NUM
ejpam-6693	495	37	1.5	1.5	NUM
ejpam-6693	495	38	2	2	NUM
ejpam-6693	495	39	0	0	NUM
ejpam-6693	495	40	0.2	0.2	NUM
ejpam-6693	495	41	0.4	0.4	NUM
ejpam-6693	495	42	0.6	0.6	NUM
ejpam-6693	495	43	0.8	0.8	NUM
ejpam-6693	495	44	1	1	NUM
ejpam-6693	495	45	1.2	1.2	NUM
ejpam-6693	495	46	1.4	1.4	NUM
ejpam-6693	495	47	x	x	SYM
ejpam-6693	495	48	10	10	NUM
ejpam-6693	495	49	−4	−4	NOUN
ejpam-6693	495	50	t	t	X
ejpam-6693	495	51	e	e	X
ejpam-6693	495	52	r	r	X
ejpam-6693	495	53	[	[	PUNCT
ejpam-6693	495	54	r	r	NOUN
ejpam-6693	495	55	(	(	PUNCT
ejpam-6693	495	56	t	t	PROPN
ejpam-6693	495	57	)	)	PUNCT
ejpam-6693	495	58	]	]	PUNCT
ejpam-6693	495	59	error	error	NOUN
ejpam-6693	495	60	in	in	ADP
ejpam-6693	495	61	r(t	r(t	NOUN
ejpam-6693	495	62	)	)	PUNCT
ejpam-6693	495	63	by	by	ADP
ejpam-6693	495	64	fdtm	fdtm	NOUN
ejpam-6693	495	65	,	,	PUNCT
ejpam-6693	495	66	ladm	ladm	ADJ
ejpam-6693	495	67	with	with	ADP
ejpam-6693	495	68	respect	respect	NOUN
ejpam-6693	495	69	to	to	PART
ejpam-6693	495	70	rkfa	rkfa	VERB
ejpam-6693	495	71	for	for	ADP
ejpam-6693	495	72	γ=1	γ=1	X
ejpam-6693	495	73	erfdtm[r(t	erfdtm[r(t	NUM
ejpam-6693	495	74	)	)	PUNCT
ejpam-6693	495	75	]	]	PUNCT
ejpam-6693	495	76	erladm[r(t	erladm[r(t	NUM
ejpam-6693	495	77	)	)	PUNCT
ejpam-6693	495	78	]	]	PUNCT
ejpam-6693	496	1	11	11	NUM
ejpam-6693	496	2	.	.	PUNCT
ejpam-6693	496	3	conclusion	conclusion	NOUN
ejpam-6693	496	4	in	in	ADP
ejpam-6693	496	5	this	this	DET
ejpam-6693	496	6	paper	paper	NOUN
ejpam-6693	496	7	,	,	PUNCT
ejpam-6693	496	8	the	the	DET
ejpam-6693	496	9	non	non	ADJ
ejpam-6693	496	10	-	-	ADJ
ejpam-6693	496	11	linear	linear	ADJ
ejpam-6693	496	12	fractional	fractional	ADJ
ejpam-6693	496	13	order	order	NOUN
ejpam-6693	496	14	susceptible	susceptible	ADJ
ejpam-6693	496	15	-	-	PUNCT
ejpam-6693	496	16	infected	infect	VERB
ejpam-6693	496	17	-	-	PUNCT
ejpam-6693	496	18	recovered(sir	recovered(sir	NOUN
ejpam-6693	496	19	)	)	PUNCT
ejpam-6693	496	20	mathematical	mathematical	ADJ
ejpam-6693	496	21	model	model	NOUN
ejpam-6693	496	22	of	of	ADP
ejpam-6693	496	23	computer	computer	NOUN
ejpam-6693	496	24	viruses	virus	NOUN
ejpam-6693	496	25	is	be	AUX
ejpam-6693	496	26	presented.the	presented.the	DET
ejpam-6693	496	27	fractional	fractional	ADJ
ejpam-6693	496	28	derivative	derivative	NOUN
ejpam-6693	496	29	used	use	VERB
ejpam-6693	496	30	in	in	ADP
ejpam-6693	496	31	the	the	DET
ejpam-6693	496	32	model	model	NOUN
ejpam-6693	496	33	is	be	AUX
ejpam-6693	496	34	caputo	caputo	PROPN
ejpam-6693	496	35	fractional	fractional	PROPN
ejpam-6693	496	36	derivative	derivative	PROPN
ejpam-6693	496	37	.	.	PUNCT
ejpam-6693	497	1	using	use	VERB
ejpam-6693	497	2	lyapunov	lyapunov	ADJ
ejpam-6693	497	3	stability	stability	NOUN
ejpam-6693	497	4	analysis	analysis	NOUN
ejpam-6693	497	5	,	,	PUNCT
ejpam-6693	497	6	the	the	DET
ejpam-6693	497	7	stability	stability	NOUN
ejpam-6693	497	8	verified	verify	VERB
ejpam-6693	497	9	of	of	ADP
ejpam-6693	497	10	the	the	DET
ejpam-6693	497	11	given	give	VERB
ejpam-6693	497	12	mathematical	mathematical	ADJ
ejpam-6693	497	13	model	model	NOUN
ejpam-6693	497	14	.	.	PUNCT
ejpam-6693	498	1	the	the	DET
ejpam-6693	498	2	fdtm	fdtm	NOUN
ejpam-6693	498	3	and	and	CCONJ
ejpam-6693	498	4	the	the	DET
ejpam-6693	498	5	ladm	ladm	NOUN
ejpam-6693	498	6	are	be	AUX
ejpam-6693	498	7	two	two	NUM
ejpam-6693	498	8	reliable	reliable	ADJ
ejpam-6693	498	9	and	and	CCONJ
ejpam-6693	498	10	useful	useful	ADJ
ejpam-6693	498	11	techniques	technique	NOUN
ejpam-6693	498	12	that	that	PRON
ejpam-6693	498	13	were	be	AUX
ejpam-6693	498	14	used	use	VERB
ejpam-6693	498	15	in	in	ADP
ejpam-6693	498	16	this	this	DET
ejpam-6693	498	17	work	work	NOUN
ejpam-6693	498	18	to	to	PART
ejpam-6693	498	19	solve	solve	VERB
ejpam-6693	498	20	the	the	DET
ejpam-6693	498	21	non	non	ADJ
ejpam-6693	498	22	-	-	ADJ
ejpam-6693	498	23	linear	linear	ADJ
ejpam-6693	498	24	epidemiological	epidemiological	ADJ
ejpam-6693	498	25	model	model	NOUN
ejpam-6693	498	26	of	of	ADP
ejpam-6693	498	27	computer	computer	NOUN
ejpam-6693	498	28	viruses	virus	NOUN
ejpam-6693	498	29	involving	involve	VERB
ejpam-6693	498	30	non	non	ADJ
ejpam-6693	498	31	-	-	ADJ
ejpam-6693	498	32	linear	linear	ADJ
ejpam-6693	498	33	fractional	fractional	ADJ
ejpam-6693	498	34	order	order	NOUN
ejpam-6693	498	35	differential	differential	NOUN
ejpam-6693	498	36	equation	equation	NOUN
ejpam-6693	498	37	.	.	PUNCT
ejpam-6693	499	1	these	these	DET
ejpam-6693	499	2	models	model	NOUN
ejpam-6693	499	3	are	be	AUX
ejpam-6693	499	4	among	among	ADP
ejpam-6693	499	5	the	the	DET
ejpam-6693	499	6	useful	useful	ADJ
ejpam-6693	499	7	computer	computer	NOUN
ejpam-6693	499	8	engineering	engineering	NOUN
ejpam-6693	499	9	models	model	NOUN
ejpam-6693	499	10	that	that	PRON
ejpam-6693	499	11	we	we	PRON
ejpam-6693	499	12	may	may	AUX
ejpam-6693	499	13	use	use	VERB
ejpam-6693	499	14	to	to	PART
ejpam-6693	499	15	monitor	monitor	VERB
ejpam-6693	499	16	,	,	PUNCT
ejpam-6693	499	17	assess	assess	NOUN
ejpam-6693	499	18	,	,	PUNCT
ejpam-6693	499	19	and	and	CCONJ
ejpam-6693	499	20	forecast	forecast	NOUN
ejpam-6693	499	21	computer	computer	NOUN
ejpam-6693	499	22	viruses	virus	NOUN
ejpam-6693	499	23	within	within	ADP
ejpam-6693	499	24	a	a	DET
ejpam-6693	499	25	network	network	NOUN
ejpam-6693	499	26	.	.	PUNCT
ejpam-6693	500	1	to	to	PART
ejpam-6693	500	2	demonstrate	demonstrate	VERB
ejpam-6693	500	3	the	the	DET
ejpam-6693	500	4	effectiveness	effectiveness	NOUN
ejpam-6693	500	5	and	and	CCONJ
ejpam-6693	500	6	precision	precision	NOUN
ejpam-6693	500	7	of	of	ADP
ejpam-6693	500	8	the	the	DET
ejpam-6693	500	9	approach	approach	NOUN
ejpam-6693	500	10	that	that	PRON
ejpam-6693	500	11	was	be	AUX
ejpam-6693	500	12	described	describe	VERB
ejpam-6693	500	13	,	,	PUNCT
ejpam-6693	500	14	the	the	DET
ejpam-6693	500	15	residual	residual	ADJ
ejpam-6693	500	16	errors	error	NOUN
ejpam-6693	500	17	for	for	ADP
ejpam-6693	500	18	five	five	NUM
ejpam-6693	500	19	iterations	iteration	NOUN
ejpam-6693	500	20	were	be	AUX
ejpam-6693	500	21	displayed	display	VERB
ejpam-6693	500	22	using	use	VERB
ejpam-6693	500	23	the	the	DET
ejpam-6693	500	24	ladm	ladm	NOUN
ejpam-6693	500	25	,	,	PUNCT
ejpam-6693	500	26	fdtm	fdtm	ADJ
ejpam-6693	500	27	,	,	PUNCT
ejpam-6693	500	28	and	and	CCONJ
ejpam-6693	500	29	rkfa	rkfa	ADJ
ejpam-6693	500	30	.	.	PUNCT
ejpam-6693	501	1	additionally	additionally	ADV
ejpam-6693	501	2	,	,	PUNCT
ejpam-6693	501	3	residual	residual	ADJ
ejpam-6693	501	4	error	error	NOUN
ejpam-6693	501	5	graphs	graph	NOUN
ejpam-6693	501	6	were	be	AUX
ejpam-6693	501	7	shown	show	VERB
ejpam-6693	501	8	to	to	PART
ejpam-6693	501	9	illustrate	illustrate	VERB
ejpam-6693	501	10	the	the	DET
ejpam-6693	501	11	capabilities	capability	NOUN
ejpam-6693	501	12	of	of	ADP
ejpam-6693	501	13	the	the	DET
ejpam-6693	501	14	methodologies	methodology	NOUN
ejpam-6693	501	15	that	that	PRON
ejpam-6693	501	16	were	be	AUX
ejpam-6693	501	17	provided	provide	VERB
ejpam-6693	501	18	.	.	PUNCT
ejpam-6693	502	1	these	these	DET
ejpam-6693	502	2	findings	finding	NOUN
ejpam-6693	502	3	suggest	suggest	VERB
ejpam-6693	502	4	that	that	SCONJ
ejpam-6693	502	5	the	the	DET
ejpam-6693	502	6	fdtm	fdtm	NOUN
ejpam-6693	502	7	is	be	AUX
ejpam-6693	502	8	more	more	ADV
ejpam-6693	502	9	easy	easy	ADJ
ejpam-6693	502	10	and	and	CCONJ
ejpam-6693	502	11	applicable	applicable	ADJ
ejpam-6693	502	12	than	than	ADP
ejpam-6693	502	13	the	the	DET
ejpam-6693	502	14	ladm	ladm	NOUN
ejpam-6693	502	15	without	without	ADP
ejpam-6693	502	16	r.	r.	PROPN
ejpam-6693	502	17	m.	m.	PROPN
ejpam-6693	502	18	kamble	kamble	PROPN
ejpam-6693	502	19	,	,	PUNCT
ejpam-6693	502	20	p.	p.	PROPN
ejpam-6693	502	21	r.	r.	PROPN
ejpam-6693	502	22	kulkarni	kulkarni	PROPN
ejpam-6693	502	23	/	/	SYM
ejpam-6693	502	24	eur	eur	PROPN
ejpam-6693	502	25	.	.	PUNCT
ejpam-6693	503	1	j.	j.	PROPN
ejpam-6693	503	2	pure	pure	PROPN
ejpam-6693	503	3	appl	appl	PROPN
ejpam-6693	503	4	.	.	PROPN
ejpam-6693	503	5	math	math	PROPN
ejpam-6693	503	6	,	,	PUNCT
ejpam-6693	503	7	18	18	NUM
ejpam-6693	503	8	(	(	PUNCT
ejpam-6693	503	9	4	4	NUM
ejpam-6693	503	10	)	)	PUNCT
ejpam-6693	503	11	(	(	PUNCT
ejpam-6693	503	12	2025	2025	NUM
ejpam-6693	503	13	)	)	PUNCT
ejpam-6693	503	14	,	,	PUNCT
ejpam-6693	503	15	6693	6693	NUM
ejpam-6693	503	16	36	36	NUM
ejpam-6693	503	17	of	of	ADP
ejpam-6693	503	18	40	40	NUM
ejpam-6693	503	19	adomian	adomian	NOUN
ejpam-6693	503	20	polynomial	polynomial	NOUN
ejpam-6693	503	21	.	.	PUNCT
ejpam-6693	504	1	from	from	ADP
ejpam-6693	504	2	the	the	DET
ejpam-6693	504	3	graphical	graphical	ADJ
ejpam-6693	504	4	analysis	analysis	NOUN
ejpam-6693	504	5	of	of	ADP
ejpam-6693	504	6	the	the	DET
ejpam-6693	504	7	solution	solution	NOUN
ejpam-6693	504	8	curves	curve	NOUN
ejpam-6693	504	9	and	and	CCONJ
ejpam-6693	504	10	errors	error	NOUN
ejpam-6693	504	11	by	by	ADP
ejpam-6693	504	12	by	by	ADP
ejpam-6693	504	13	fdtm	fdtm	NOUN
ejpam-6693	504	14	and	and	CCONJ
ejpam-6693	504	15	ladm	ladm	ADJ
ejpam-6693	504	16	,	,	PUNCT
ejpam-6693	504	17	we	we	PRON
ejpam-6693	504	18	conclude	conclude	VERB
ejpam-6693	504	19	that	that	SCONJ
ejpam-6693	504	20	the	the	DET
ejpam-6693	504	21	fdtm	fdtm	NOUN
ejpam-6693	504	22	for	for	ADP
ejpam-6693	504	23	solving	solve	VERB
ejpam-6693	504	24	the	the	DET
ejpam-6693	504	25	non	non	ADJ
ejpam-6693	504	26	-	-	ADJ
ejpam-6693	504	27	linear	linear	ADJ
ejpam-6693	504	28	system	system	NOUN
ejpam-6693	504	29	of	of	ADP
ejpam-6693	504	30	equations	equation	NOUN
ejpam-6693	504	31	1	1	NUM
ejpam-6693	504	32	presents	present	VERB
ejpam-6693	504	33	better	well	ADJ
ejpam-6693	504	34	solutions	solution	NOUN
ejpam-6693	504	35	as	as	SCONJ
ejpam-6693	504	36	compared	compare	VERB
ejpam-6693	504	37	to	to	ADP
ejpam-6693	504	38	the	the	DET
ejpam-6693	504	39	ladm	ladm	NOUN
ejpam-6693	504	40	.	.	PUNCT
ejpam-6693	505	1	however	however	ADV
ejpam-6693	505	2	,	,	PUNCT
ejpam-6693	505	3	one	one	PRON
ejpam-6693	505	4	should	should	AUX
ejpam-6693	505	5	note	note	VERB
ejpam-6693	505	6	that	that	SCONJ
ejpam-6693	505	7	due	due	ADP
ejpam-6693	505	8	to	to	ADP
ejpam-6693	505	9	the	the	DET
ejpam-6693	505	10	complexity	complexity	NOUN
ejpam-6693	505	11	of	of	ADP
ejpam-6693	505	12	calculations	calculation	NOUN
ejpam-6693	505	13	,	,	PUNCT
ejpam-6693	505	14	while	while	SCONJ
ejpam-6693	505	15	finds	find	VERB
ejpam-6693	505	16	the	the	DET
ejpam-6693	505	17	solutions	solution	NOUN
ejpam-6693	505	18	by	by	ADP
ejpam-6693	505	19	fdtm	fdtm	NOUN
ejpam-6693	505	20	and	and	CCONJ
ejpam-6693	505	21	ladm	ladm	ADJ
ejpam-6693	505	22	,	,	PUNCT
ejpam-6693	505	23	we	we	PRON
ejpam-6693	505	24	have	have	AUX
ejpam-6693	505	25	considered	consider	VERB
ejpam-6693	505	26	only	only	ADV
ejpam-6693	505	27	five	five	NUM
ejpam-6693	505	28	iterations	iteration	NOUN
ejpam-6693	505	29	and	and	CCONJ
ejpam-6693	505	30	a	a	DET
ejpam-6693	505	31	small	small	ADJ
ejpam-6693	505	32	interval	interval	NOUN
ejpam-6693	505	33	for	for	ADP
ejpam-6693	505	34	the	the	DET
ejpam-6693	505	35	values	value	NOUN
ejpam-6693	505	36	of	of	ADP
ejpam-6693	505	37	the	the	DET
ejpam-6693	505	38	variable	variable	NOUN
ejpam-6693	505	39	t.	t.	NOUN
ejpam-6693	505	40	the	the	DET
ejpam-6693	505	41	conclusions	conclusion	NOUN
ejpam-6693	505	42	drawn	draw	VERB
ejpam-6693	505	43	here	here	ADV
ejpam-6693	505	44	may	may	AUX
ejpam-6693	505	45	vary	vary	VERB
ejpam-6693	505	46	if	if	SCONJ
ejpam-6693	505	47	one	one	PRON
ejpam-6693	505	48	considers	consider	VERB
ejpam-6693	505	49	a	a	DET
ejpam-6693	505	50	large	large	ADJ
ejpam-6693	505	51	number	number	NOUN
ejpam-6693	505	52	of	of	ADP
ejpam-6693	505	53	iterations	iteration	NOUN
ejpam-6693	505	54	and	and	CCONJ
ejpam-6693	505	55	find	find	VERB
ejpam-6693	505	56	out	out	ADP
ejpam-6693	505	57	the	the	DET
ejpam-6693	505	58	long	long	ADJ
ejpam-6693	505	59	term	term	NOUN
ejpam-6693	505	60	behaviour	behaviour	NOUN
ejpam-6693	505	61	of	of	ADP
ejpam-6693	505	62	the	the	DET
ejpam-6693	505	63	sir	sir	PROPN
ejpam-6693	505	64	model	model	NOUN
ejpam-6693	505	65	.	.	PUNCT
ejpam-6693	506	1	hence	hence	ADV
ejpam-6693	506	2	further	further	ADJ
ejpam-6693	506	3	investigation	investigation	NOUN
ejpam-6693	506	4	in	in	ADP
ejpam-6693	506	5	this	this	DET
ejpam-6693	506	6	matter	matter	NOUN
ejpam-6693	506	7	is	be	AUX
ejpam-6693	506	8	needed	need	VERB
ejpam-6693	506	9	.	.	PUNCT
ejpam-6693	507	1	by	by	ADP
ejpam-6693	507	2	including	include	VERB
ejpam-6693	507	3	a	a	DET
ejpam-6693	507	4	few	few	ADJ
ejpam-6693	507	5	more	more	ADJ
ejpam-6693	507	6	parameters	parameter	NOUN
ejpam-6693	507	7	,	,	PUNCT
ejpam-6693	507	8	we	we	PRON
ejpam-6693	507	9	may	may	AUX
ejpam-6693	507	10	improve	improve	VERB
ejpam-6693	507	11	the	the	DET
ejpam-6693	507	12	model	model	NOUN
ejpam-6693	507	13	.	.	PUNCT
ejpam-6693	508	1	in	in	ADP
ejpam-6693	508	2	many	many	ADJ
ejpam-6693	508	3	other	other	ADJ
ejpam-6693	508	4	fields	field	NOUN
ejpam-6693	508	5	,	,	PUNCT
ejpam-6693	508	6	this	this	DET
ejpam-6693	508	7	model	model	NOUN
ejpam-6693	508	8	may	may	AUX
ejpam-6693	508	9	also	also	ADV
ejpam-6693	508	10	be	be	AUX
ejpam-6693	508	11	used	use	VERB
ejpam-6693	508	12	to	to	PART
ejpam-6693	508	13	provide	provide	VERB
ejpam-6693	508	14	alternative	alternative	ADJ
ejpam-6693	508	15	models	model	NOUN
ejpam-6693	508	16	.	.	PUNCT
ejpam-6693	509	1	references	reference	NOUN
ejpam-6693	509	2	[	[	X
ejpam-6693	509	3	1	1	NUM
ejpam-6693	509	4	]	]	X
ejpam-6693	509	5	fred	fred	PROPN
ejpam-6693	509	6	cohen	cohen	PROPN
ejpam-6693	509	7	.	.	PUNCT
ejpam-6693	510	1	computer	computer	NOUN
ejpam-6693	510	2	viruses	virus	NOUN
ejpam-6693	510	3	:	:	PUNCT
ejpam-6693	510	4	theory	theory	NOUN
ejpam-6693	510	5	and	and	CCONJ
ejpam-6693	510	6	experiments	experiment	NOUN
ejpam-6693	510	7	.	.	PUNCT
ejpam-6693	511	1	computers	computer	NOUN
ejpam-6693	511	2	&	&	CCONJ
ejpam-6693	511	3	security	security	NOUN
ejpam-6693	511	4	,	,	PUNCT
ejpam-6693	511	5	6(1):22–35	6(1):22–35	NUM
ejpam-6693	511	6	,	,	PUNCT
ejpam-6693	511	7	1987	1987	NUM
ejpam-6693	511	8	.	.	PUNCT
ejpam-6693	512	1	[	[	X
ejpam-6693	512	2	2	2	NUM
ejpam-6693	512	3	]	]	X
ejpam-6693	512	4	asad	asad	PROPN
ejpam-6693	512	5	a	a	DET
ejpam-6693	512	6	freihat	freihat	NOUN
ejpam-6693	512	7	,	,	PUNCT
ejpam-6693	512	8	m	m	NOUN
ejpam-6693	512	9	zurigat	zurigat	ADJ
ejpam-6693	512	10	,	,	PUNCT
ejpam-6693	512	11	and	and	CCONJ
ejpam-6693	512	12	ali	ali	PROPN
ejpam-6693	512	13	h	h	PROPN
ejpam-6693	512	14	handam	handam	PROPN
ejpam-6693	512	15	.	.	PUNCT
ejpam-6693	513	1	the	the	DET
ejpam-6693	513	2	multi	multi	ADJ
ejpam-6693	513	3	-	-	ADJ
ejpam-6693	513	4	step	step	ADJ
ejpam-6693	513	5	homotopy	homotopy	NOUN
ejpam-6693	513	6	analysis	analysis	NOUN
ejpam-6693	513	7	method	method	NOUN
ejpam-6693	513	8	for	for	ADP
ejpam-6693	513	9	modified	modify	VERB
ejpam-6693	513	10	epidemiological	epidemiological	ADJ
ejpam-6693	513	11	model	model	NOUN
ejpam-6693	513	12	for	for	ADP
ejpam-6693	513	13	computer	computer	NOUN
ejpam-6693	513	14	viruses	virus	NOUN
ejpam-6693	513	15	.	.	PUNCT
ejpam-6693	514	1	afrika	afrika	PROPN
ejpam-6693	514	2	matematika	matematika	PROPN
ejpam-6693	514	3	,	,	PUNCT
ejpam-6693	514	4	26(3):585–596	26(3):585–596	NOUN
ejpam-6693	514	5	,	,	PUNCT
ejpam-6693	514	6	2015	2015	NUM
ejpam-6693	514	7	.	.	PUNCT
ejpam-6693	515	1	[	[	X
ejpam-6693	515	2	3	3	X
ejpam-6693	515	3	]	]	PUNCT
ejpam-6693	515	4	xie	xie	PROPN
ejpam-6693	515	5	han	han	PROPN
ejpam-6693	515	6	and	and	CCONJ
ejpam-6693	515	7	qiulin	qiulin	PROPN
ejpam-6693	515	8	tan	tan	PROPN
ejpam-6693	515	9	.	.	PUNCT
ejpam-6693	516	1	dynamical	dynamical	ADJ
ejpam-6693	516	2	behavior	behavior	NOUN
ejpam-6693	516	3	of	of	ADP
ejpam-6693	516	4	computer	computer	NOUN
ejpam-6693	516	5	virus	virus	NOUN
ejpam-6693	516	6	on	on	ADP
ejpam-6693	516	7	internet	internet	NOUN
ejpam-6693	516	8	.	.	PUNCT
ejpam-6693	517	1	applied	apply	VERB
ejpam-6693	517	2	mathematics	mathematic	NOUN
ejpam-6693	517	3	and	and	CCONJ
ejpam-6693	517	4	computation	computation	NOUN
ejpam-6693	517	5	,	,	PUNCT
ejpam-6693	517	6	217(6):2520–2526	217(6):2520–2526	NUM
ejpam-6693	517	7	,	,	PUNCT
ejpam-6693	517	8	2010	2010	NUM
ejpam-6693	517	9	.	.	PUNCT
ejpam-6693	518	1	[	[	X
ejpam-6693	518	2	4	4	NUM
ejpam-6693	518	3	]	]	X
ejpam-6693	518	4	bimal	bimal	ADJ
ejpam-6693	518	5	kumar	kumar	PROPN
ejpam-6693	518	6	mishra	mishra	PROPN
ejpam-6693	518	7	and	and	CCONJ
ejpam-6693	518	8	navnit	navnit	PROPN
ejpam-6693	518	9	jha	jha	PROPN
ejpam-6693	518	10	.	.	PROPN
ejpam-6693	518	11	fixed	fix	VERB
ejpam-6693	518	12	period	period	NOUN
ejpam-6693	518	13	of	of	ADP
ejpam-6693	518	14	temporary	temporary	ADJ
ejpam-6693	518	15	immunity	immunity	NOUN
ejpam-6693	518	16	after	after	ADP
ejpam-6693	518	17	run	run	NOUN
ejpam-6693	518	18	of	of	ADP
ejpam-6693	518	19	anti	anti	ADJ
ejpam-6693	518	20	-	-	ADJ
ejpam-6693	518	21	malicious	malicious	ADJ
ejpam-6693	518	22	software	software	NOUN
ejpam-6693	518	23	on	on	ADP
ejpam-6693	518	24	computer	computer	NOUN
ejpam-6693	518	25	nodes	node	NOUN
ejpam-6693	518	26	.	.	PUNCT
ejpam-6693	519	1	applied	apply	VERB
ejpam-6693	519	2	mathematics	mathematic	NOUN
ejpam-6693	519	3	and	and	CCONJ
ejpam-6693	519	4	computation	computation	NOUN
ejpam-6693	519	5	,	,	PUNCT
ejpam-6693	519	6	190(2):1207–1212	190(2):1207–1212	NUM
ejpam-6693	519	7	,	,	PUNCT
ejpam-6693	519	8	2007	2007	NUM
ejpam-6693	519	9	.	.	PUNCT
ejpam-6693	520	1	[	[	X
ejpam-6693	520	2	5	5	X
ejpam-6693	520	3	]	]	PUNCT
ejpam-6693	520	4	jeffrey	jeffrey	PROPN
ejpam-6693	520	5	o	o	PROPN
ejpam-6693	520	6	kephart	kephart	PROPN
ejpam-6693	520	7	,	,	PUNCT
ejpam-6693	520	8	tad	tad	PROPN
ejpam-6693	520	9	hogg	hogg	PROPN
ejpam-6693	520	10	,	,	PUNCT
ejpam-6693	520	11	and	and	CCONJ
ejpam-6693	520	12	bernardo	bernardo	NOUN
ejpam-6693	520	13	a	a	DET
ejpam-6693	520	14	huberman	huberman	NOUN
ejpam-6693	520	15	.	.	PUNCT
ejpam-6693	521	1	dynamics	dynamic	NOUN
ejpam-6693	521	2	of	of	ADP
ejpam-6693	521	3	computational	computational	ADJ
ejpam-6693	521	4	ecosystems	ecosystem	NOUN
ejpam-6693	521	5	.	.	PUNCT
ejpam-6693	522	1	physical	physical	ADJ
ejpam-6693	522	2	review	review	PROPN
ejpam-6693	522	3	a	a	PRON
ejpam-6693	522	4	,	,	PUNCT
ejpam-6693	522	5	40(1):404	40(1):404	NOUN
ejpam-6693	522	6	,	,	PUNCT
ejpam-6693	522	7	1989	1989	NUM
ejpam-6693	522	8	.	.	PUNCT
ejpam-6693	523	1	[	[	X
ejpam-6693	523	2	6	6	NUM
ejpam-6693	523	3	]	]	X
ejpam-6693	523	4	jose	jose	PROPN
ejpam-6693	523	5	rc	rc	PROPN
ejpam-6693	523	6	piqueira	piqueira	PROPN
ejpam-6693	523	7	,	,	PUNCT
ejpam-6693	523	8	adolfo	adolfo	PROPN
ejpam-6693	523	9	a	a	PROPN
ejpam-6693	523	10	de	de	X
ejpam-6693	523	11	vasconcelos	vasconcelos	PROPN
ejpam-6693	523	12	,	,	PUNCT
ejpam-6693	523	13	carlos	carlos	PROPN
ejpam-6693	523	14	ecj	ecj	PROPN
ejpam-6693	523	15	gabriel	gabriel	PROPN
ejpam-6693	523	16	,	,	PUNCT
ejpam-6693	523	17	and	and	CCONJ
ejpam-6693	523	18	vanessa	vanessa	PROPN
ejpam-6693	523	19	o	o	PROPN
ejpam-6693	523	20	araujo	araujo	PROPN
ejpam-6693	523	21	.	.	PUNCT
ejpam-6693	524	1	dynamic	dynamic	ADJ
ejpam-6693	524	2	models	model	NOUN
ejpam-6693	524	3	for	for	ADP
ejpam-6693	524	4	computer	computer	NOUN
ejpam-6693	524	5	viruses	virus	NOUN
ejpam-6693	524	6	.	.	PUNCT
ejpam-6693	525	1	computers	computer	NOUN
ejpam-6693	525	2	&	&	CCONJ
ejpam-6693	525	3	security	security	NOUN
ejpam-6693	525	4	,	,	PUNCT
ejpam-6693	525	5	27(7	27(7	PROPN
ejpam-6693	525	6	-	-	SYM
ejpam-6693	525	7	8):355	8):355	NUM
ejpam-6693	525	8	–	–	PUNCT
ejpam-6693	525	9	359	359	NUM
ejpam-6693	525	10	,	,	PUNCT
ejpam-6693	525	11	2008	2008	NUM
ejpam-6693	525	12	.	.	PUNCT
ejpam-6693	526	1	[	[	X
ejpam-6693	526	2	7	7	X
ejpam-6693	526	3	]	]	X
ejpam-6693	526	4	josé	josé	PROPN
ejpam-6693	526	5	roberto	roberto	PROPN
ejpam-6693	526	6	c	c	PROPN
ejpam-6693	526	7	piqueira	piqueira	PROPN
ejpam-6693	526	8	and	and	CCONJ
ejpam-6693	526	9	vanessa	vanessa	PROPN
ejpam-6693	526	10	o	o	PROPN
ejpam-6693	526	11	araujo	araujo	PROPN
ejpam-6693	526	12	.	.	PUNCT
ejpam-6693	527	1	a	a	DET
ejpam-6693	527	2	modified	modify	VERB
ejpam-6693	527	3	epidemiological	epidemiological	ADJ
ejpam-6693	527	4	model	model	NOUN
ejpam-6693	527	5	for	for	ADP
ejpam-6693	527	6	computer	computer	NOUN
ejpam-6693	527	7	viruses	virus	NOUN
ejpam-6693	527	8	.	.	PUNCT
ejpam-6693	528	1	applied	apply	VERB
ejpam-6693	528	2	mathematics	mathematic	NOUN
ejpam-6693	528	3	and	and	CCONJ
ejpam-6693	528	4	computation	computation	NOUN
ejpam-6693	528	5	,	,	PUNCT
ejpam-6693	528	6	213(2):355–360	213(2):355–360	NUM
ejpam-6693	528	7	,	,	PUNCT
ejpam-6693	528	8	2009	2009	NUM
ejpam-6693	528	9	.	.	PUNCT
ejpam-6693	529	1	[	[	X
ejpam-6693	529	2	8	8	NUM
ejpam-6693	529	3	]	]	X
ejpam-6693	529	4	jianguo	jianguo	PROPN
ejpam-6693	529	5	ren	ren	PROPN
ejpam-6693	529	6	,	,	PUNCT
ejpam-6693	529	7	xiaofan	xiaofan	PROPN
ejpam-6693	529	8	yang	yang	PROPN
ejpam-6693	529	9	,	,	PUNCT
ejpam-6693	529	10	lu	lu	PROPN
ejpam-6693	529	11	-	-	PUNCT
ejpam-6693	529	12	xing	xing	PROPN
ejpam-6693	529	13	yang	yang	PROPN
ejpam-6693	529	14	,	,	PUNCT
ejpam-6693	529	15	yonghong	yonghong	PROPN
ejpam-6693	529	16	xu	xu	PROPN
ejpam-6693	529	17	,	,	PUNCT
ejpam-6693	529	18	and	and	CCONJ
ejpam-6693	529	19	fanzhou	fanzhou	PROPN
ejpam-6693	529	20	yang	yang	PROPN
ejpam-6693	529	21	.	.	PUNCT
ejpam-6693	530	1	a	a	DET
ejpam-6693	530	2	delayed	delay	VERB
ejpam-6693	530	3	computer	computer	NOUN
ejpam-6693	530	4	virus	virus	NOUN
ejpam-6693	530	5	propagation	propagation	NOUN
ejpam-6693	530	6	model	model	NOUN
ejpam-6693	530	7	and	and	CCONJ
ejpam-6693	530	8	its	its	PRON
ejpam-6693	530	9	dynamics	dynamic	NOUN
ejpam-6693	530	10	.	.	PUNCT
ejpam-6693	531	1	chaos	chaos	NOUN
ejpam-6693	531	2	,	,	PUNCT
ejpam-6693	531	3	solitons	soliton	NOUN
ejpam-6693	531	4	&	&	CCONJ
ejpam-6693	531	5	fractals	fractal	NOUN
ejpam-6693	531	6	,	,	PUNCT
ejpam-6693	531	7	45(1):74–79	45(1):74–79	ADV
ejpam-6693	531	8	,	,	PUNCT
ejpam-6693	531	9	2012	2012	NUM
ejpam-6693	531	10	.	.	PUNCT
ejpam-6693	532	1	[	[	X
ejpam-6693	532	2	9	9	NUM
ejpam-6693	532	3	]	]	PUNCT
ejpam-6693	532	4	jianguo	jianguo	PROPN
ejpam-6693	532	5	ren	ren	PROPN
ejpam-6693	532	6	,	,	PUNCT
ejpam-6693	532	7	xiaofan	xiaofan	PROPN
ejpam-6693	532	8	yang	yang	PROPN
ejpam-6693	532	9	,	,	PUNCT
ejpam-6693	532	10	qingyi	qingyi	PROPN
ejpam-6693	532	11	zhu	zhu	PROPN
ejpam-6693	532	12	,	,	PUNCT
ejpam-6693	532	13	lu	lu	PROPN
ejpam-6693	532	14	-	-	PUNCT
ejpam-6693	532	15	xing	xing	PROPN
ejpam-6693	532	16	yang	yang	PROPN
ejpam-6693	532	17	,	,	PUNCT
ejpam-6693	532	18	and	and	CCONJ
ejpam-6693	532	19	chunming	chunme	VERB
ejpam-6693	532	20	zhang	zhang	PROPN
ejpam-6693	532	21	.	.	PUNCT
ejpam-6693	533	1	a	a	DET
ejpam-6693	533	2	novel	novel	ADJ
ejpam-6693	533	3	computer	computer	NOUN
ejpam-6693	533	4	virus	virus	NOUN
ejpam-6693	533	5	model	model	NOUN
ejpam-6693	533	6	and	and	CCONJ
ejpam-6693	533	7	its	its	PRON
ejpam-6693	533	8	dynamics	dynamic	NOUN
ejpam-6693	533	9	.	.	PUNCT
ejpam-6693	534	1	nonlinear	nonlinear	ADJ
ejpam-6693	534	2	analysis	analysis	NOUN
ejpam-6693	534	3	:	:	PUNCT
ejpam-6693	534	4	real	real	ADJ
ejpam-6693	534	5	world	world	NOUN
ejpam-6693	534	6	applications	application	NOUN
ejpam-6693	534	7	,	,	PUNCT
ejpam-6693	534	8	13(1):376–384	13(1):376–384	PROPN
ejpam-6693	534	9	,	,	PUNCT
ejpam-6693	534	10	2012	2012	NUM
ejpam-6693	534	11	.	.	PUNCT
ejpam-6693	535	1	[	[	X
ejpam-6693	535	2	10	10	NUM
ejpam-6693	535	3	]	]	X
ejpam-6693	535	4	john	john	PROPN
ejpam-6693	535	5	c	c	PROPN
ejpam-6693	535	6	wierman	wierman	NOUN
ejpam-6693	535	7	and	and	CCONJ
ejpam-6693	535	8	david	david	PROPN
ejpam-6693	535	9	j	j	PROPN
ejpam-6693	535	10	marchette	marchette	PROPN
ejpam-6693	535	11	.	.	PUNCT
ejpam-6693	536	1	modeling	model	VERB
ejpam-6693	536	2	computer	computer	NOUN
ejpam-6693	536	3	virus	virus	NOUN
ejpam-6693	536	4	prevalence	prevalence	NOUN
ejpam-6693	536	5	with	with	ADP
ejpam-6693	536	6	a	a	DET
ejpam-6693	536	7	susceptible	susceptible	ADJ
ejpam-6693	536	8	-	-	PUNCT
ejpam-6693	536	9	infected	infect	VERB
ejpam-6693	536	10	-	-	PUNCT
ejpam-6693	536	11	susceptible	susceptible	ADJ
ejpam-6693	536	12	model	model	NOUN
ejpam-6693	536	13	with	with	ADP
ejpam-6693	536	14	reintroduction	reintroduction	NOUN
ejpam-6693	536	15	.	.	PUNCT
ejpam-6693	537	1	computational	computational	ADJ
ejpam-6693	537	2	statistics	statistic	NOUN
ejpam-6693	537	3	&	&	CCONJ
ejpam-6693	537	4	data	datum	NOUN
ejpam-6693	537	5	analysis	analysis	NOUN
ejpam-6693	537	6	,	,	PUNCT
ejpam-6693	537	7	45(1):3–23	45(1):3–23	NUM
ejpam-6693	537	8	,	,	PUNCT
ejpam-6693	537	9	2004	2004	NUM
ejpam-6693	537	10	.	.	PUNCT
ejpam-6693	538	1	[	[	X
ejpam-6693	538	2	11	11	NUM
ejpam-6693	538	3	]	]	X
ejpam-6693	538	4	hua	hua	PROPN
ejpam-6693	538	5	yuan	yuan	PROPN
ejpam-6693	538	6	and	and	CCONJ
ejpam-6693	538	7	guoqing	guoqe	VERB
ejpam-6693	538	8	chen	chen	PROPN
ejpam-6693	538	9	.	.	PUNCT
ejpam-6693	539	1	network	network	PROPN
ejpam-6693	539	2	virus	virus	NOUN
ejpam-6693	539	3	-	-	PUNCT
ejpam-6693	539	4	epidemic	epidemic	NOUN
ejpam-6693	539	5	model	model	NOUN
ejpam-6693	539	6	with	with	ADP
ejpam-6693	539	7	the	the	DET
ejpam-6693	539	8	point	point	NOUN
ejpam-6693	539	9	-	-	PUNCT
ejpam-6693	539	10	to	to	ADP
ejpam-6693	539	11	-	-	PUNCT
ejpam-6693	539	12	group	group	NOUN
ejpam-6693	539	13	information	information	NOUN
ejpam-6693	539	14	propagation	propagation	NOUN
ejpam-6693	539	15	.	.	PUNCT
ejpam-6693	540	1	applied	apply	VERB
ejpam-6693	540	2	mathematics	mathematic	NOUN
ejpam-6693	540	3	and	and	CCONJ
ejpam-6693	540	4	computation	computation	NOUN
ejpam-6693	540	5	,	,	PUNCT
ejpam-6693	540	6	206(1):357–367	206(1):357–367	NUM
ejpam-6693	540	7	,	,	PUNCT
ejpam-6693	540	8	2008	2008	NUM
ejpam-6693	540	9	.	.	PUNCT
ejpam-6693	541	1	[	[	X
ejpam-6693	541	2	12	12	NUM
ejpam-6693	541	3	]	]	X
ejpam-6693	541	4	qingyi	qingyi	PROPN
ejpam-6693	541	5	zhu	zhu	PROPN
ejpam-6693	541	6	,	,	PUNCT
ejpam-6693	541	7	xiaofan	xiaofan	PROPN
ejpam-6693	541	8	yang	yang	PROPN
ejpam-6693	541	9	,	,	PUNCT
ejpam-6693	541	10	and	and	CCONJ
ejpam-6693	541	11	jianguo	jianguo	PROPN
ejpam-6693	541	12	ren	ren	PROPN
ejpam-6693	541	13	.	.	PUNCT
ejpam-6693	542	1	modeling	modeling	NOUN
ejpam-6693	542	2	and	and	CCONJ
ejpam-6693	542	3	analysis	analysis	NOUN
ejpam-6693	542	4	of	of	ADP
ejpam-6693	542	5	the	the	DET
ejpam-6693	542	6	spread	spread	NOUN
ejpam-6693	542	7	of	of	ADP
ejpam-6693	542	8	computer	computer	NOUN
ejpam-6693	542	9	virus	virus	NOUN
ejpam-6693	542	10	.	.	PUNCT
ejpam-6693	543	1	applied	apply	VERB
ejpam-6693	543	2	mathematics	mathematic	NOUN
ejpam-6693	543	3	and	and	CCONJ
ejpam-6693	543	4	computation	computation	NOUN
ejpam-6693	543	5	,	,	PUNCT
ejpam-6693	543	6	17(12):5117–5124	17(12):5117–5124	NUM
ejpam-6693	543	7	,	,	PUNCT
ejpam-6693	543	8	2012	2012	NUM
ejpam-6693	543	9	.	.	PUNCT
ejpam-6693	544	1	r.	r.	PROPN
ejpam-6693	544	2	m.	m.	PROPN
ejpam-6693	544	3	kamble	kamble	PROPN
ejpam-6693	544	4	,	,	PUNCT
ejpam-6693	544	5	p.	p.	PROPN
ejpam-6693	544	6	r.	r.	PROPN
ejpam-6693	545	1	kulkarni	kulkarni	PROPN
ejpam-6693	545	2	/	/	SYM
ejpam-6693	545	3	eur	eur	PROPN
ejpam-6693	545	4	.	.	PUNCT
ejpam-6693	546	1	j.	j.	PROPN
ejpam-6693	546	2	pure	pure	PROPN
ejpam-6693	546	3	appl	appl	PROPN
ejpam-6693	546	4	.	.	PROPN
ejpam-6693	546	5	math	math	PROPN
ejpam-6693	546	6	,	,	PUNCT
ejpam-6693	546	7	18	18	NUM
ejpam-6693	546	8	(	(	PUNCT
ejpam-6693	546	9	4	4	NUM
ejpam-6693	546	10	)	)	PUNCT
ejpam-6693	546	11	(	(	PUNCT
ejpam-6693	546	12	2025	2025	NUM
ejpam-6693	546	13	)	)	PUNCT
ejpam-6693	546	14	,	,	PUNCT
ejpam-6693	546	15	6693	6693	NUM
ejpam-6693	546	16	37	37	NUM
ejpam-6693	546	17	of	of	ADP
ejpam-6693	546	18	40	40	NUM
ejpam-6693	547	1	[	[	SYM
ejpam-6693	547	2	13	13	NUM
ejpam-6693	547	3	]	]	X
ejpam-6693	547	4	yalçın	yalçın	PROPN
ejpam-6693	547	5	öztürk	öztürk	PROPN
ejpam-6693	547	6	and	and	CCONJ
ejpam-6693	547	7	mustafa	mustafa	PROPN
ejpam-6693	547	8	gülsu	gülsu	PROPN
ejpam-6693	547	9	.	.	PUNCT
ejpam-6693	548	1	numerical	numerical	ADJ
ejpam-6693	548	2	solution	solution	NOUN
ejpam-6693	548	3	of	of	ADP
ejpam-6693	548	4	a	a	DET
ejpam-6693	548	5	modified	modify	VERB
ejpam-6693	548	6	epidemiological	epidemiological	ADJ
ejpam-6693	548	7	model	model	NOUN
ejpam-6693	548	8	for	for	ADP
ejpam-6693	548	9	computer	computer	NOUN
ejpam-6693	548	10	viruses	virus	NOUN
ejpam-6693	548	11	.	.	PUNCT
ejpam-6693	549	1	applied	apply	VERB
ejpam-6693	549	2	mathematical	mathematical	ADJ
ejpam-6693	549	3	modelling	modelling	NOUN
ejpam-6693	549	4	,	,	PUNCT
ejpam-6693	549	5	39(23	39(23	NOUN
ejpam-6693	549	6	-	-	SYM
ejpam-6693	549	7	24):7600–7610	24):7600–7610	PROPN
ejpam-6693	549	8	,	,	PUNCT
ejpam-6693	549	9	2015	2015	NUM
ejpam-6693	549	10	.	.	PUNCT
ejpam-6693	550	1	[	[	X
ejpam-6693	550	2	14	14	NUM
ejpam-6693	550	3	]	]	X
ejpam-6693	550	4	mohammad	mohammad	PROPN
ejpam-6693	550	5	ali	ali	PROPN
ejpam-6693	550	6	fariborzi	fariborzi	PROPN
ejpam-6693	550	7	araghi	araghi	PROPN
ejpam-6693	550	8	and	and	CCONJ
ejpam-6693	550	9	samad	samad	PROPN
ejpam-6693	550	10	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	550	11	.	.	PUNCT
ejpam-6693	551	1	fibonacci	fibonacci	NOUN
ejpam-6693	551	2	-	-	PUNCT
ejpam-6693	551	3	regularization	regularization	NOUN
ejpam-6693	551	4	method	method	NOUN
ejpam-6693	551	5	for	for	ADP
ejpam-6693	551	6	solving	solve	VERB
ejpam-6693	551	7	cauchy	cauchy	ADJ
ejpam-6693	551	8	integral	integral	ADJ
ejpam-6693	551	9	equations	equation	NOUN
ejpam-6693	551	10	of	of	ADP
ejpam-6693	551	11	the	the	DET
ejpam-6693	551	12	first	first	ADJ
ejpam-6693	551	13	kind	kind	NOUN
ejpam-6693	551	14	.	.	PUNCT
ejpam-6693	552	1	ain	ain	PROPN
ejpam-6693	552	2	shams	sham	VERB
ejpam-6693	552	3	engineering	engineering	PROPN
ejpam-6693	552	4	journal	journal	PROPN
ejpam-6693	552	5	,	,	PUNCT
ejpam-6693	552	6	8(3):363–369	8(3):363–369	PROPN
ejpam-6693	552	7	,	,	PUNCT
ejpam-6693	552	8	2017	2017	NUM
ejpam-6693	552	9	.	.	PUNCT
ejpam-6693	553	1	[	[	X
ejpam-6693	553	2	15	15	NUM
ejpam-6693	553	3	]	]	X
ejpam-6693	553	4	samad	samad	PROPN
ejpam-6693	553	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	553	6	,	,	PUNCT
ejpam-6693	553	7	muhammad	muhammad	PROPN
ejpam-6693	553	8	suleman	suleman	PROPN
ejpam-6693	553	9	,	,	PUNCT
ejpam-6693	553	10	and	and	CCONJ
ejpam-6693	553	11	hüseyin	hüseyin	PROPN
ejpam-6693	553	12	budak	budak	PROPN
ejpam-6693	553	13	.	.	PUNCT
ejpam-6693	554	1	solving	solve	VERB
ejpam-6693	554	2	a	a	DET
ejpam-6693	554	3	modified	modified	ADJ
ejpam-6693	554	4	nonlinear	nonlinear	ADJ
ejpam-6693	554	5	epidemiological	epidemiological	ADJ
ejpam-6693	554	6	model	model	NOUN
ejpam-6693	554	7	of	of	ADP
ejpam-6693	554	8	computer	computer	NOUN
ejpam-6693	554	9	viruses	virus	NOUN
ejpam-6693	554	10	by	by	ADP
ejpam-6693	554	11	homotopy	homotopy	NOUN
ejpam-6693	554	12	analysis	analysis	NOUN
ejpam-6693	554	13	method	method	NOUN
ejpam-6693	554	14	.	.	PUNCT
ejpam-6693	555	1	mathematical	mathematical	ADJ
ejpam-6693	555	2	sciences	sciences	PROPN
ejpam-6693	555	3	,	,	PUNCT
ejpam-6693	555	4	12(3):211–222	12(3):211–222	NUM
ejpam-6693	555	5	,	,	PUNCT
ejpam-6693	555	6	2018	2018	NUM
ejpam-6693	555	7	.	.	PUNCT
ejpam-6693	556	1	[	[	X
ejpam-6693	556	2	16	16	NUM
ejpam-6693	556	3	]	]	X
ejpam-6693	556	4	jagdev	jagdev	PROPN
ejpam-6693	556	5	singh	singh	PROPN
ejpam-6693	556	6	,	,	PUNCT
ejpam-6693	556	7	devendra	devendra	PROPN
ejpam-6693	556	8	kumar	kumar	PROPN
ejpam-6693	556	9	,	,	PUNCT
ejpam-6693	556	10	zakia	zakia	NOUN
ejpam-6693	556	11	hammouch	hammouch	NOUN
ejpam-6693	556	12	,	,	PUNCT
ejpam-6693	556	13	and	and	CCONJ
ejpam-6693	556	14	abdon	abdon	PROPN
ejpam-6693	556	15	atangana	atangana	PROPN
ejpam-6693	556	16	.	.	PUNCT
ejpam-6693	557	1	a	a	DET
ejpam-6693	557	2	fractional	fractional	ADJ
ejpam-6693	557	3	epidemiological	epidemiological	ADJ
ejpam-6693	557	4	model	model	NOUN
ejpam-6693	557	5	for	for	ADP
ejpam-6693	557	6	computer	computer	NOUN
ejpam-6693	557	7	viruses	virus	NOUN
ejpam-6693	557	8	pertaining	pertain	VERB
ejpam-6693	557	9	to	to	ADP
ejpam-6693	557	10	a	a	DET
ejpam-6693	557	11	new	new	ADJ
ejpam-6693	557	12	fractional	fractional	ADJ
ejpam-6693	557	13	derivative	derivative	NOUN
ejpam-6693	557	14	.	.	PUNCT
ejpam-6693	558	1	applied	apply	VERB
ejpam-6693	558	2	mathematics	mathematic	NOUN
ejpam-6693	558	3	and	and	CCONJ
ejpam-6693	558	4	computation	computation	NOUN
ejpam-6693	558	5	,	,	PUNCT
ejpam-6693	558	6	316:504–515	316:504–515	NUM
ejpam-6693	558	7	,	,	PUNCT
ejpam-6693	558	8	2018	2018	NUM
ejpam-6693	558	9	.	.	PUNCT
ejpam-6693	559	1	[	[	X
ejpam-6693	559	2	17	17	NUM
ejpam-6693	559	3	]	]	X
ejpam-6693	559	4	bimal	bimal	ADJ
ejpam-6693	559	5	kumar	kumar	PROPN
ejpam-6693	559	6	mishra	mishra	PROPN
ejpam-6693	559	7	and	and	CCONJ
ejpam-6693	559	8	samir	samir	PROPN
ejpam-6693	559	9	kumar	kumar	PROPN
ejpam-6693	559	10	pandey	pandey	PROPN
ejpam-6693	559	11	.	.	PROPN
ejpam-6693	559	12	fuzzy	fuzzy	ADJ
ejpam-6693	559	13	epidemic	epidemic	NOUN
ejpam-6693	559	14	model	model	NOUN
ejpam-6693	559	15	for	for	ADP
ejpam-6693	559	16	the	the	DET
ejpam-6693	559	17	transmission	transmission	NOUN
ejpam-6693	559	18	of	of	ADP
ejpam-6693	559	19	worms	worm	NOUN
ejpam-6693	559	20	in	in	ADP
ejpam-6693	559	21	computer	computer	NOUN
ejpam-6693	559	22	network	network	NOUN
ejpam-6693	559	23	.	.	PUNCT
ejpam-6693	560	1	nonlinear	nonlinear	ADJ
ejpam-6693	560	2	analysis	analysis	NOUN
ejpam-6693	560	3	:	:	PUNCT
ejpam-6693	560	4	real	real	ADJ
ejpam-6693	560	5	world	world	NOUN
ejpam-6693	560	6	applications	application	NOUN
ejpam-6693	560	7	,	,	PUNCT
ejpam-6693	560	8	11(5):4335–4341	11(5):4335–4341	NUM
ejpam-6693	560	9	,	,	PUNCT
ejpam-6693	560	10	2010	2010	NUM
ejpam-6693	560	11	.	.	PUNCT
ejpam-6693	561	1	[	[	X
ejpam-6693	561	2	18	18	NUM
ejpam-6693	561	3	]	]	X
ejpam-6693	561	4	samad	samad	PROPN
ejpam-6693	561	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	561	6	.	.	PUNCT
ejpam-6693	562	1	a	a	DET
ejpam-6693	562	2	novel	novel	ADJ
ejpam-6693	562	3	technique	technique	NOUN
ejpam-6693	562	4	to	to	PART
ejpam-6693	562	5	solve	solve	VERB
ejpam-6693	562	6	the	the	DET
ejpam-6693	562	7	modified	modify	VERB
ejpam-6693	562	8	epidemiological	epidemiological	ADJ
ejpam-6693	562	9	model	model	NOUN
ejpam-6693	562	10	of	of	ADP
ejpam-6693	562	11	computer	computer	NOUN
ejpam-6693	562	12	viruses	virus	NOUN
ejpam-6693	562	13	.	.	PUNCT
ejpam-6693	563	1	sema	sema	PROPN
ejpam-6693	563	2	journal	journal	PROPN
ejpam-6693	563	3	,	,	PUNCT
ejpam-6693	563	4	76(1):97–108	76(1):97–108	NUM
ejpam-6693	563	5	,	,	PUNCT
ejpam-6693	563	6	2019	2019	NUM
ejpam-6693	563	7	.	.	PUNCT
ejpam-6693	564	1	[	[	X
ejpam-6693	564	2	19	19	NUM
ejpam-6693	564	3	]	]	SYM
ejpam-6693	564	4	ma	ma	PROPN
ejpam-6693	564	5	fariborzi	fariborzi	PROPN
ejpam-6693	564	6	araghi	araghi	PROPN
ejpam-6693	564	7	and	and	CCONJ
ejpam-6693	564	8	samad	samad	PROPN
ejpam-6693	564	9	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	564	10	.	.	PUNCT
ejpam-6693	565	1	a	a	DET
ejpam-6693	565	2	novel	novel	ADJ
ejpam-6693	565	3	technique	technique	NOUN
ejpam-6693	565	4	based	base	VERB
ejpam-6693	565	5	on	on	ADP
ejpam-6693	565	6	the	the	DET
ejpam-6693	565	7	homotopy	homotopy	NOUN
ejpam-6693	565	8	analysis	analysis	NOUN
ejpam-6693	565	9	method	method	NOUN
ejpam-6693	565	10	to	to	PART
ejpam-6693	565	11	solve	solve	VERB
ejpam-6693	565	12	the	the	DET
ejpam-6693	565	13	first	first	ADJ
ejpam-6693	565	14	kind	kind	NOUN
ejpam-6693	565	15	cauchy	cauchy	ADJ
ejpam-6693	565	16	integral	integral	ADJ
ejpam-6693	565	17	equations	equation	NOUN
ejpam-6693	565	18	arising	arise	VERB
ejpam-6693	565	19	in	in	ADP
ejpam-6693	565	20	the	the	DET
ejpam-6693	565	21	theory	theory	NOUN
ejpam-6693	565	22	of	of	ADP
ejpam-6693	565	23	airfoils	airfoils	PROPN
ejpam-6693	565	24	.	.	PUNCT
ejpam-6693	566	1	journal	journal	PROPN
ejpam-6693	566	2	of	of	ADP
ejpam-6693	566	3	interpolation	interpolation	NOUN
ejpam-6693	566	4	and	and	CCONJ
ejpam-6693	566	5	approximation	approximation	NOUN
ejpam-6693	566	6	in	in	ADP
ejpam-6693	566	7	scientific	scientific	ADJ
ejpam-6693	566	8	computing	computing	NOUN
ejpam-6693	566	9	,	,	PUNCT
ejpam-6693	566	10	2016(1):1–13	2016(1):1–13	PROPN
ejpam-6693	566	11	,	,	PUNCT
ejpam-6693	566	12	2016	2016	NUM
ejpam-6693	566	13	.	.	PUNCT
ejpam-6693	567	1	[	[	X
ejpam-6693	567	2	20	20	NUM
ejpam-6693	567	3	]	]	X
ejpam-6693	567	4	mohammad	mohammad	PROPN
ejpam-6693	567	5	ali	ali	PROPN
ejpam-6693	567	6	fariborzi	fariborzi	PROPN
ejpam-6693	567	7	araghi	araghi	PROPN
ejpam-6693	567	8	and	and	CCONJ
ejpam-6693	567	9	samad	samad	PROPN
ejpam-6693	567	10	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	567	11	.	.	PUNCT
ejpam-6693	568	1	homotopy	homotopy	VERB
ejpam-6693	568	2	regularization	regularization	NOUN
ejpam-6693	568	3	method	method	NOUN
ejpam-6693	568	4	to	to	PART
ejpam-6693	568	5	solve	solve	VERB
ejpam-6693	568	6	the	the	DET
ejpam-6693	568	7	singular	singular	PROPN
ejpam-6693	568	8	volterra	volterra	PROPN
ejpam-6693	568	9	integral	integral	ADJ
ejpam-6693	568	10	equations	equation	NOUN
ejpam-6693	568	11	of	of	ADP
ejpam-6693	568	12	the	the	DET
ejpam-6693	568	13	first	first	ADJ
ejpam-6693	568	14	kind	kind	NOUN
ejpam-6693	568	15	.	.	PUNCT
ejpam-6693	569	1	jordan	jordan	PROPN
ejpam-6693	569	2	journal	journal	PROPN
ejpam-6693	569	3	of	of	ADP
ejpam-6693	569	4	mathematics	mathematics	PROPN
ejpam-6693	569	5	and	and	CCONJ
ejpam-6693	569	6	statistics	statistic	NOUN
ejpam-6693	569	7	,	,	PUNCT
ejpam-6693	569	8	11(1):1–12	11(1):1–12	NUM
ejpam-6693	569	9	,	,	PUNCT
ejpam-6693	569	10	2018	2018	NUM
ejpam-6693	569	11	.	.	PUNCT
ejpam-6693	570	1	[	[	X
ejpam-6693	570	2	21	21	NUM
ejpam-6693	570	3	]	]	X
ejpam-6693	570	4	mohammad	mohammad	PROPN
ejpam-6693	570	5	ali	ali	PROPN
ejpam-6693	570	6	fariborzi	fariborzi	PROPN
ejpam-6693	570	7	and	and	CCONJ
ejpam-6693	570	8	samad	samad	PROPN
ejpam-6693	570	9	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	570	10	.	.	PUNCT
ejpam-6693	571	1	valid	valid	ADJ
ejpam-6693	571	2	implementation	implementation	NOUN
ejpam-6693	571	3	of	of	ADP
ejpam-6693	571	4	the	the	DET
ejpam-6693	571	5	sinccollocation	sinccollocation	NOUN
ejpam-6693	571	6	method	method	NOUN
ejpam-6693	571	7	to	to	PART
ejpam-6693	571	8	solve	solve	VERB
ejpam-6693	571	9	linear	linear	ADJ
ejpam-6693	571	10	integral	integral	ADJ
ejpam-6693	571	11	equations	equation	NOUN
ejpam-6693	571	12	by	by	ADP
ejpam-6693	571	13	the	the	DET
ejpam-6693	571	14	cadna	cadna	PROPN
ejpam-6693	571	15	library	library	NOUN
ejpam-6693	571	16	.	.	PUNCT
ejpam-6693	572	1	journal	journal	PROPN
ejpam-6693	572	2	of	of	ADP
ejpam-6693	572	3	mathematical	mathematical	ADJ
ejpam-6693	572	4	modeling	modeling	NOUN
ejpam-6693	572	5	,	,	PUNCT
ejpam-6693	572	6	7(1):63–84	7(1):63–84	NOUN
ejpam-6693	572	7	,	,	PUNCT
ejpam-6693	572	8	2019	2019	NUM
ejpam-6693	572	9	.	.	PUNCT
ejpam-6693	573	1	[	[	X
ejpam-6693	573	2	22	22	NUM
ejpam-6693	573	3	]	]	X
ejpam-6693	573	4	samad	samad	PROPN
ejpam-6693	573	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	573	6	and	and	CCONJ
ejpam-6693	573	7	emran	emran	PROPN
ejpam-6693	573	8	khoshrouye	khoshrouye	PROPN
ejpam-6693	573	9	ghiasi	ghiasi	PROPN
ejpam-6693	573	10	.	.	PUNCT
ejpam-6693	574	1	an	an	DET
ejpam-6693	574	2	efficient	efficient	ADJ
ejpam-6693	574	3	method	method	NOUN
ejpam-6693	574	4	to	to	PART
ejpam-6693	574	5	solve	solve	VERB
ejpam-6693	574	6	the	the	DET
ejpam-6693	574	7	mathematical	mathematical	ADJ
ejpam-6693	574	8	model	model	NOUN
ejpam-6693	574	9	of	of	ADP
ejpam-6693	574	10	hiv	hiv	PROPN
ejpam-6693	574	11	infection	infection	NOUN
ejpam-6693	574	12	for	for	ADP
ejpam-6693	574	13	cd8	cd8	PROPN
ejpam-6693	574	14	+	+	PROPN
ejpam-6693	574	15	t	t	PROPN
ejpam-6693	574	16	-	-	PUNCT
ejpam-6693	574	17	cells	cell	NOUN
ejpam-6693	574	18	.	.	PUNCT
ejpam-6693	575	1	arxiv	arxiv	PROPN
ejpam-6693	575	2	preprint	preprint	NOUN
ejpam-6693	575	3	arxiv:1907.01106	arxiv:1907.01106	NOUN
ejpam-6693	575	4	,	,	PUNCT
ejpam-6693	575	5	2019	2019	NUM
ejpam-6693	575	6	.	.	PUNCT
ejpam-6693	576	1	[	[	X
ejpam-6693	576	2	23	23	NUM
ejpam-6693	576	3	]	]	X
ejpam-6693	576	4	samad	samad	PROPN
ejpam-6693	576	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	576	6	,	,	PUNCT
ejpam-6693	576	7	mohammad	mohammad	PROPN
ejpam-6693	576	8	ali	ali	PROPN
ejpam-6693	576	9	fariborzi	fariborzi	PROPN
ejpam-6693	576	10	araghi	araghi	PROPN
ejpam-6693	576	11	,	,	PUNCT
ejpam-6693	576	12	and	and	CCONJ
ejpam-6693	576	13	saeid	saeid	PROPN
ejpam-6693	576	14	abbasbandy	abbasbandy	PROPN
ejpam-6693	576	15	.	.	PUNCT
ejpam-6693	577	1	finding	find	VERB
ejpam-6693	577	2	optimal	optimal	ADJ
ejpam-6693	577	3	convergence	convergence	NOUN
ejpam-6693	577	4	control	control	NOUN
ejpam-6693	577	5	parameter	parameter	NOUN
ejpam-6693	577	6	in	in	ADP
ejpam-6693	577	7	the	the	DET
ejpam-6693	577	8	homotopy	homotopy	NOUN
ejpam-6693	577	9	analysis	analysis	NOUN
ejpam-6693	577	10	method	method	NOUN
ejpam-6693	577	11	to	to	PART
ejpam-6693	577	12	solve	solve	VERB
ejpam-6693	577	13	integral	integral	ADJ
ejpam-6693	577	14	equations	equation	NOUN
ejpam-6693	577	15	based	base	VERB
ejpam-6693	577	16	on	on	ADP
ejpam-6693	577	17	the	the	DET
ejpam-6693	577	18	stochastic	stochastic	ADJ
ejpam-6693	577	19	arithmetic	arithmetic	NOUN
ejpam-6693	577	20	.	.	PUNCT
ejpam-6693	578	1	numerical	numerical	ADJ
ejpam-6693	578	2	algorithms	algorithms	PROPN
ejpam-6693	578	3	,	,	PUNCT
ejpam-6693	578	4	81(1):237–267	81(1):237–267	NUM
ejpam-6693	578	5	,	,	PUNCT
ejpam-6693	578	6	2019	2019	NUM
ejpam-6693	578	7	.	.	PUNCT
ejpam-6693	579	1	[	[	X
ejpam-6693	579	2	24	24	NUM
ejpam-6693	579	3	]	]	PUNCT
ejpam-6693	579	4	samad	samad	PROPN
ejpam-6693	579	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	579	6	,	,	PUNCT
ejpam-6693	579	7	denis	denis	PROPN
ejpam-6693	579	8	sidorov	sidorov	PROPN
ejpam-6693	579	9	,	,	PUNCT
ejpam-6693	579	10	and	and	CCONJ
ejpam-6693	579	11	valery	valery	PROPN
ejpam-6693	579	12	sizikov	sizikov	PROPN
ejpam-6693	579	13	.	.	PUNCT
ejpam-6693	580	1	control	control	NOUN
ejpam-6693	580	2	of	of	ADP
ejpam-6693	580	3	accuracy	accuracy	NOUN
ejpam-6693	580	4	on	on	ADP
ejpam-6693	580	5	taylorcollocation	taylorcollocation	NOUN
ejpam-6693	580	6	method	method	NOUN
ejpam-6693	580	7	to	to	PART
ejpam-6693	580	8	solve	solve	VERB
ejpam-6693	580	9	the	the	DET
ejpam-6693	580	10	weakly	weakly	ADJ
ejpam-6693	580	11	regular	regular	ADJ
ejpam-6693	580	12	volterra	volterra	NOUN
ejpam-6693	580	13	integral	integral	ADJ
ejpam-6693	580	14	equations	equation	NOUN
ejpam-6693	580	15	of	of	ADP
ejpam-6693	580	16	the	the	DET
ejpam-6693	580	17	first	first	ADJ
ejpam-6693	580	18	kind	kind	NOUN
ejpam-6693	580	19	by	by	ADP
ejpam-6693	580	20	using	use	VERB
ejpam-6693	580	21	the	the	DET
ejpam-6693	580	22	cestac	cestac	ADJ
ejpam-6693	580	23	method	method	NOUN
ejpam-6693	580	24	.	.	PUNCT
ejpam-6693	581	1	arxiv	arxiv	PROPN
ejpam-6693	581	2	preprint	preprint	NOUN
ejpam-6693	581	3	arxiv:1811.09802	arxiv:1811.09802	NOUN
ejpam-6693	581	4	,	,	PUNCT
ejpam-6693	581	5	2018	2018	NUM
ejpam-6693	581	6	.	.	PUNCT
ejpam-6693	582	1	[	[	X
ejpam-6693	582	2	25	25	NUM
ejpam-6693	582	3	]	]	PUNCT
ejpam-6693	582	4	eisa	eisa	X
ejpam-6693	582	5	zarei	zarei	ADJ
ejpam-6693	582	6	and	and	CCONJ
ejpam-6693	582	7	samad	samad	PROPN
ejpam-6693	582	8	noeiaghdam	noeiaghdam	NOUN
ejpam-6693	582	9	.	.	PUNCT
ejpam-6693	583	1	solving	solve	VERB
ejpam-6693	583	2	generalized	generalize	VERB
ejpam-6693	583	3	abel	abel	PROPN
ejpam-6693	583	4	’s	’s	PART
ejpam-6693	583	5	integral	integral	ADJ
ejpam-6693	583	6	equations	equation	NOUN
ejpam-6693	583	7	of	of	ADP
ejpam-6693	583	8	the	the	DET
ejpam-6693	583	9	first	first	ADJ
ejpam-6693	583	10	and	and	CCONJ
ejpam-6693	583	11	second	second	ADJ
ejpam-6693	583	12	kinds	kind	NOUN
ejpam-6693	583	13	via	via	ADP
ejpam-6693	583	14	taylor	taylor	NOUN
ejpam-6693	583	15	-	-	PUNCT
ejpam-6693	583	16	collocation	collocation	NOUN
ejpam-6693	583	17	method	method	NOUN
ejpam-6693	583	18	.	.	PUNCT
ejpam-6693	584	1	arxiv	arxiv	PROPN
ejpam-6693	584	2	preprint	preprint	PROPN
ejpam-6693	584	3	arxiv:1804.08571	arxiv:1804.08571	PROPN
ejpam-6693	584	4	,	,	PUNCT
ejpam-6693	584	5	2018	2018	NUM
ejpam-6693	584	6	.	.	PUNCT
ejpam-6693	585	1	[	[	X
ejpam-6693	585	2	26	26	NUM
ejpam-6693	585	3	]	]	X
ejpam-6693	585	4	mostafa	mostafa	PROPN
ejpam-6693	585	5	nourifar	nourifar	PROPN
ejpam-6693	585	6	,	,	PUNCT
ejpam-6693	585	7	ahmad	ahmad	PROPN
ejpam-6693	585	8	aftabi	aftabi	PROPN
ejpam-6693	585	9	sani	sani	PROPN
ejpam-6693	585	10	,	,	PUNCT
ejpam-6693	585	11	and	and	CCONJ
ejpam-6693	585	12	ali	ali	PROPN
ejpam-6693	585	13	keyhani	keyhani	PROPN
ejpam-6693	585	14	.	.	PUNCT
ejpam-6693	586	1	efficient	efficient	ADJ
ejpam-6693	586	2	multi	multi	ADJ
ejpam-6693	586	3	-	-	ADJ
ejpam-6693	586	4	step	step	ADJ
ejpam-6693	586	5	differential	differential	NOUN
ejpam-6693	586	6	transform	transform	NOUN
ejpam-6693	586	7	method	method	NOUN
ejpam-6693	586	8	:	:	PUNCT
ejpam-6693	586	9	theory	theory	NOUN
ejpam-6693	586	10	and	and	CCONJ
ejpam-6693	586	11	its	its	PRON
ejpam-6693	586	12	application	application	NOUN
ejpam-6693	586	13	to	to	ADP
ejpam-6693	586	14	nonlinear	nonlinear	ADJ
ejpam-6693	586	15	oscillators	oscillator	NOUN
ejpam-6693	586	16	.	.	PUNCT
ejpam-6693	587	1	communications	communication	NOUN
ejpam-6693	587	2	in	in	ADP
ejpam-6693	587	3	nonlinear	nonlinear	ADJ
ejpam-6693	587	4	science	science	NOUN
ejpam-6693	587	5	and	and	CCONJ
ejpam-6693	587	6	numerical	numerical	PROPN
ejpam-6693	587	7	simulation	simulation	PROPN
ejpam-6693	587	8	,	,	PUNCT
ejpam-6693	587	9	53:154–183	53:154–183	PROPN
ejpam-6693	587	10	,	,	PUNCT
ejpam-6693	587	11	2017	2017	NUM
ejpam-6693	587	12	.	.	PUNCT
ejpam-6693	588	1	r.	r.	PROPN
ejpam-6693	588	2	m.	m.	PROPN
ejpam-6693	588	3	kamble	kamble	PROPN
ejpam-6693	588	4	,	,	PUNCT
ejpam-6693	588	5	p.	p.	PROPN
ejpam-6693	588	6	r.	r.	PROPN
ejpam-6693	589	1	kulkarni	kulkarni	PROPN
ejpam-6693	589	2	/	/	SYM
ejpam-6693	589	3	eur	eur	PROPN
ejpam-6693	589	4	.	.	PUNCT
ejpam-6693	590	1	j.	j.	PROPN
ejpam-6693	590	2	pure	pure	PROPN
ejpam-6693	590	3	appl	appl	PROPN
ejpam-6693	590	4	.	.	PROPN
ejpam-6693	590	5	math	math	PROPN
ejpam-6693	590	6	,	,	PUNCT
ejpam-6693	590	7	18	18	NUM
ejpam-6693	590	8	(	(	PUNCT
ejpam-6693	590	9	4	4	NUM
ejpam-6693	590	10	)	)	PUNCT
ejpam-6693	590	11	(	(	PUNCT
ejpam-6693	590	12	2025	2025	NUM
ejpam-6693	590	13	)	)	PUNCT
ejpam-6693	590	14	,	,	PUNCT
ejpam-6693	590	15	6693	6693	NUM
ejpam-6693	590	16	38	38	NUM
ejpam-6693	590	17	of	of	ADP
ejpam-6693	590	18	40	40	NUM
ejpam-6693	591	1	[	[	SYM
ejpam-6693	591	2	27	27	NUM
ejpam-6693	591	3	]	]	X
ejpam-6693	591	4	mohammad	mohammad	PROPN
ejpam-6693	591	5	mehdi	mehdi	PROPN
ejpam-6693	591	6	rashidi	rashidi	NOUN
ejpam-6693	591	7	and	and	CCONJ
ejpam-6693	591	8	esmaeel	esmaeel	VERB
ejpam-6693	591	9	erfani	erfani	NOUN
ejpam-6693	591	10	.	.	PUNCT
ejpam-6693	592	1	a	a	DET
ejpam-6693	592	2	new	new	ADJ
ejpam-6693	592	3	analytical	analytical	ADJ
ejpam-6693	592	4	study	study	NOUN
ejpam-6693	592	5	of	of	ADP
ejpam-6693	592	6	mhd	mhd	NOUN
ejpam-6693	592	7	stagnation	stagnation	NOUN
ejpam-6693	592	8	-	-	PUNCT
ejpam-6693	592	9	point	point	NOUN
ejpam-6693	592	10	flow	flow	NOUN
ejpam-6693	592	11	in	in	ADP
ejpam-6693	592	12	porous	porous	ADJ
ejpam-6693	592	13	media	medium	NOUN
ejpam-6693	592	14	with	with	ADP
ejpam-6693	592	15	heat	heat	NOUN
ejpam-6693	592	16	transfer	transfer	NOUN
ejpam-6693	592	17	.	.	PUNCT
ejpam-6693	593	1	computers	computer	NOUN
ejpam-6693	593	2	&	&	CCONJ
ejpam-6693	593	3	fluids	fluid	NOUN
ejpam-6693	593	4	,	,	PUNCT
ejpam-6693	593	5	40(1):172–178	40(1):172–178	NOUN
ejpam-6693	593	6	,	,	PUNCT
ejpam-6693	593	7	2011	2011	NUM
ejpam-6693	593	8	.	.	PUNCT
ejpam-6693	594	1	[	[	X
ejpam-6693	594	2	28	28	NUM
ejpam-6693	594	3	]	]	PUNCT
ejpam-6693	594	4	kunjan	kunjan	NOUN
ejpam-6693	594	5	shah	shah	PROPN
ejpam-6693	594	6	,	,	PUNCT
ejpam-6693	594	7	twinkle	twinkle	PROPN
ejpam-6693	594	8	singh	singh	PROPN
ejpam-6693	594	9	,	,	PUNCT
ejpam-6693	594	10	and	and	CCONJ
ejpam-6693	594	11	adem	adem	PROPN
ejpam-6693	594	12	kılıçman	kılıçman	PROPN
ejpam-6693	594	13	.	.	PUNCT
ejpam-6693	595	1	combination	combination	NOUN
ejpam-6693	595	2	of	of	ADP
ejpam-6693	595	3	integral	integral	ADJ
ejpam-6693	595	4	and	and	CCONJ
ejpam-6693	595	5	projected	project	VERB
ejpam-6693	595	6	differential	differential	ADJ
ejpam-6693	595	7	transform	transform	NOUN
ejpam-6693	595	8	methods	method	NOUN
ejpam-6693	595	9	for	for	ADP
ejpam-6693	595	10	time	time	NOUN
ejpam-6693	595	11	-	-	PUNCT
ejpam-6693	595	12	fractional	fractional	ADJ
ejpam-6693	595	13	gas	gas	NOUN
ejpam-6693	595	14	dynamics	dynamic	NOUN
ejpam-6693	595	15	equations	equation	NOUN
ejpam-6693	595	16	.	.	PUNCT
ejpam-6693	596	1	ain	ain	PROPN
ejpam-6693	596	2	shams	sham	VERB
ejpam-6693	596	3	engineering	engineering	NOUN
ejpam-6693	596	4	journal	journal	NOUN
ejpam-6693	596	5	,	,	PUNCT
ejpam-6693	596	6	9(4):1683–1688	9(4):1683–1688	NOUN
ejpam-6693	596	7	,	,	PUNCT
ejpam-6693	596	8	2018	2018	NUM
ejpam-6693	596	9	.	.	PUNCT
ejpam-6693	597	1	[	[	X
ejpam-6693	597	2	29	29	NUM
ejpam-6693	597	3	]	]	X
ejpam-6693	597	4	abdul	abdul	PROPN
ejpam-6693	597	5	-	-	PUNCT
ejpam-6693	597	6	majid	majid	PROPN
ejpam-6693	597	7	wazwaz	wazwaz	NOUN
ejpam-6693	597	8	.	.	PUNCT
ejpam-6693	598	1	the	the	DET
ejpam-6693	598	2	combined	combined	ADJ
ejpam-6693	598	3	laplace	laplace	NOUN
ejpam-6693	598	4	transform	transform	NOUN
ejpam-6693	598	5	–	–	PUNCT
ejpam-6693	598	6	adomian	adomian	NOUN
ejpam-6693	598	7	decomposition	decomposition	NOUN
ejpam-6693	598	8	method	method	NOUN
ejpam-6693	598	9	for	for	ADP
ejpam-6693	598	10	handling	handle	VERB
ejpam-6693	598	11	nonlinear	nonlinear	PROPN
ejpam-6693	598	12	volterra	volterra	PROPN
ejpam-6693	598	13	integro	integro	PROPN
ejpam-6693	598	14	–	–	PUNCT
ejpam-6693	598	15	differential	differential	ADJ
ejpam-6693	598	16	equations	equation	NOUN
ejpam-6693	598	17	.	.	PUNCT
ejpam-6693	599	1	applied	apply	VERB
ejpam-6693	599	2	mathematics	mathematic	NOUN
ejpam-6693	599	3	and	and	CCONJ
ejpam-6693	599	4	computation	computation	NOUN
ejpam-6693	599	5	,	,	PUNCT
ejpam-6693	599	6	216(4):1304–1309	216(4):1304–1309	NOUN
ejpam-6693	599	7	,	,	PUNCT
ejpam-6693	599	8	2010	2010	NUM
ejpam-6693	599	9	.	.	PUNCT
ejpam-6693	600	1	[	[	X
ejpam-6693	600	2	30	30	NUM
ejpam-6693	600	3	]	]	X
ejpam-6693	600	4	hassan	hassan	PROPN
ejpam-6693	600	5	eltayeb	eltayeb	PROPN
ejpam-6693	600	6	gadain	gadain	NOUN
ejpam-6693	600	7	.	.	PUNCT
ejpam-6693	601	1	solving	solve	VERB
ejpam-6693	601	2	coupled	couple	VERB
ejpam-6693	601	3	pseudo	pseudo	NOUN
ejpam-6693	601	4	-	-	ADJ
ejpam-6693	601	5	parabolic	parabolic	ADJ
ejpam-6693	601	6	equation	equation	NOUN
ejpam-6693	601	7	using	use	VERB
ejpam-6693	601	8	a	a	DET
ejpam-6693	601	9	modified	modified	ADJ
ejpam-6693	601	10	double	double	ADJ
ejpam-6693	601	11	laplace	laplace	NOUN
ejpam-6693	601	12	decomposition	decomposition	NOUN
ejpam-6693	601	13	method	method	NOUN
ejpam-6693	601	14	.	.	PUNCT
ejpam-6693	602	1	acta	acta	PROPN
ejpam-6693	602	2	mathematica	mathematica	PROPN
ejpam-6693	602	3	scientia	scientia	PROPN
ejpam-6693	602	4	,	,	PUNCT
ejpam-6693	602	5	38(1):333–346	38(1):333–346	PROPN
ejpam-6693	602	6	,	,	PUNCT
ejpam-6693	602	7	2018	2018	NUM
ejpam-6693	602	8	.	.	PUNCT
ejpam-6693	603	1	[	[	X
ejpam-6693	603	2	31	31	NUM
ejpam-6693	603	3	]	]	PUNCT
ejpam-6693	603	4	fazal	fazal	PROPN
ejpam-6693	603	5	haq	haq	PROPN
ejpam-6693	603	6	,	,	PUNCT
ejpam-6693	603	7	kamal	kamal	PROPN
ejpam-6693	603	8	shah	shah	PROPN
ejpam-6693	603	9	,	,	PUNCT
ejpam-6693	603	10	ghaus	ghaus	PROPN
ejpam-6693	603	11	ur	ur	PROPN
ejpam-6693	603	12	rahman	rahman	PROPN
ejpam-6693	603	13	,	,	PUNCT
ejpam-6693	603	14	and	and	CCONJ
ejpam-6693	603	15	muhammad	muhammad	PROPN
ejpam-6693	603	16	shahzad	shahzad	PROPN
ejpam-6693	603	17	.	.	PUNCT
ejpam-6693	604	1	numerical	numerical	ADJ
ejpam-6693	604	2	solution	solution	NOUN
ejpam-6693	604	3	of	of	ADP
ejpam-6693	604	4	fractional	fractional	ADJ
ejpam-6693	604	5	order	order	NOUN
ejpam-6693	604	6	smoking	smoking	NOUN
ejpam-6693	604	7	model	model	NOUN
ejpam-6693	604	8	via	via	ADP
ejpam-6693	604	9	laplace	laplace	NOUN
ejpam-6693	604	10	adomian	adomian	NOUN
ejpam-6693	604	11	decomposition	decomposition	NOUN
ejpam-6693	604	12	method	method	NOUN
ejpam-6693	604	13	.	.	PUNCT
ejpam-6693	605	1	alexandria	alexandria	PROPN
ejpam-6693	605	2	engineering	engineering	PROPN
ejpam-6693	605	3	journal	journal	PROPN
ejpam-6693	605	4	,	,	PUNCT
ejpam-6693	605	5	57(2):1061–1069	57(2):1061–1069	NUM
ejpam-6693	605	6	,	,	PUNCT
ejpam-6693	605	7	2018	2018	NUM
ejpam-6693	605	8	.	.	PUNCT
ejpam-6693	606	1	[	[	X
ejpam-6693	606	2	32	32	NUM
ejpam-6693	606	3	]	]	PUNCT
ejpam-6693	606	4	susmita	susmita	PROPN
ejpam-6693	606	5	paul	paul	PROPN
ejpam-6693	606	6	,	,	PUNCT
ejpam-6693	606	7	sankar	sankar	NOUN
ejpam-6693	606	8	prasad	prasad	PROPN
ejpam-6693	606	9	mondal	mondal	PROPN
ejpam-6693	606	10	,	,	PUNCT
ejpam-6693	606	11	and	and	CCONJ
ejpam-6693	606	12	paritosh	paritosh	PROPN
ejpam-6693	606	13	bhattacharya	bhattacharya	PROPN
ejpam-6693	606	14	.	.	PUNCT
ejpam-6693	607	1	numerical	numerical	ADJ
ejpam-6693	607	2	solution	solution	NOUN
ejpam-6693	607	3	of	of	ADP
ejpam-6693	607	4	lotka	lotka	PROPN
ejpam-6693	607	5	volterra	volterra	PROPN
ejpam-6693	607	6	prey	prey	PROPN
ejpam-6693	607	7	predator	predator	NOUN
ejpam-6693	607	8	model	model	NOUN
ejpam-6693	607	9	by	by	ADP
ejpam-6693	607	10	using	use	VERB
ejpam-6693	607	11	runge	runge	NOUN
ejpam-6693	607	12	–	–	PUNCT
ejpam-6693	607	13	kutta	kutta	NOUN
ejpam-6693	607	14	–	–	PUNCT
ejpam-6693	607	15	fehlberg	fehlberg	NOUN
ejpam-6693	607	16	method	method	NOUN
ejpam-6693	607	17	and	and	CCONJ
ejpam-6693	607	18	laplace	laplace	NOUN
ejpam-6693	607	19	adomian	adomian	NOUN
ejpam-6693	607	20	decomposition	decomposition	NOUN
ejpam-6693	607	21	method	method	NOUN
ejpam-6693	607	22	.	.	PUNCT
ejpam-6693	608	1	alexandria	alexandria	PROPN
ejpam-6693	608	2	engineering	engineering	PROPN
ejpam-6693	608	3	journal	journal	PROPN
ejpam-6693	608	4	,	,	PUNCT
ejpam-6693	608	5	55(1):613	55(1):613	PROPN
ejpam-6693	608	6	–	–	PUNCT
ejpam-6693	608	7	617	617	NUM
ejpam-6693	608	8	,	,	PUNCT
ejpam-6693	608	9	2016	2016	NUM
ejpam-6693	608	10	.	.	PUNCT
ejpam-6693	609	1	[	[	X
ejpam-6693	609	2	33	33	NUM
ejpam-6693	609	3	]	]	PUNCT
ejpam-6693	609	4	saeid	saeid	PROPN
ejpam-6693	609	5	abbasbandy	abbasbandy	PROPN
ejpam-6693	609	6	.	.	PUNCT
ejpam-6693	610	1	extended	extended	PROPN
ejpam-6693	610	2	newton	newton	PROPN
ejpam-6693	610	3	’s	’s	PART
ejpam-6693	610	4	method	method	NOUN
ejpam-6693	610	5	for	for	ADP
ejpam-6693	610	6	a	a	DET
ejpam-6693	610	7	system	system	NOUN
ejpam-6693	610	8	of	of	ADP
ejpam-6693	610	9	nonlinear	nonlinear	ADJ
ejpam-6693	610	10	equations	equation	NOUN
ejpam-6693	610	11	by	by	ADP
ejpam-6693	610	12	modified	modified	ADJ
ejpam-6693	610	13	adomian	adomian	NOUN
ejpam-6693	610	14	decomposition	decomposition	NOUN
ejpam-6693	610	15	method	method	NOUN
ejpam-6693	610	16	.	.	PUNCT
ejpam-6693	611	1	applied	apply	VERB
ejpam-6693	611	2	mathematics	mathematic	NOUN
ejpam-6693	611	3	and	and	CCONJ
ejpam-6693	611	4	computation	computation	NOUN
ejpam-6693	611	5	,	,	PUNCT
ejpam-6693	611	6	170(1):648–656	170(1):648–656	NUM
ejpam-6693	611	7	,	,	PUNCT
ejpam-6693	611	8	2005	2005	NUM
ejpam-6693	611	9	.	.	PUNCT
ejpam-6693	612	1	[	[	X
ejpam-6693	612	2	34	34	NUM
ejpam-6693	612	3	]	]	X
ejpam-6693	612	4	jun	jun	PROPN
ejpam-6693	612	5	-	-	PUNCT
ejpam-6693	612	6	sheng	sheng	PROPN
ejpam-6693	612	7	duan	duan	PROPN
ejpam-6693	612	8	,	,	PUNCT
ejpam-6693	612	9	randolph	randolph	PROPN
ejpam-6693	612	10	rach	rach	PROPN
ejpam-6693	612	11	,	,	PUNCT
ejpam-6693	612	12	and	and	CCONJ
ejpam-6693	612	13	abdul	abdul	PROPN
ejpam-6693	612	14	-	-	PUNCT
ejpam-6693	612	15	majid	majid	PROPN
ejpam-6693	612	16	wazwaz	wazwaz	NOUN
ejpam-6693	612	17	.	.	PUNCT
ejpam-6693	613	1	higher	high	ADJ
ejpam-6693	613	2	order	order	NOUN
ejpam-6693	613	3	numeric	numeric	ADJ
ejpam-6693	613	4	solutions	solution	NOUN
ejpam-6693	613	5	of	of	ADP
ejpam-6693	613	6	the	the	DET
ejpam-6693	613	7	lane	lane	NOUN
ejpam-6693	613	8	–	–	PUNCT
ejpam-6693	613	9	emden	emden	ADJ
ejpam-6693	613	10	-	-	PUNCT
ejpam-6693	613	11	type	type	NOUN
ejpam-6693	613	12	equations	equation	NOUN
ejpam-6693	613	13	derived	derive	VERB
ejpam-6693	613	14	from	from	ADP
ejpam-6693	613	15	the	the	DET
ejpam-6693	613	16	multi	multi	ADJ
ejpam-6693	613	17	-	-	ADJ
ejpam-6693	613	18	stage	stage	ADJ
ejpam-6693	613	19	modified	modify	VERB
ejpam-6693	613	20	adomian	adomian	NOUN
ejpam-6693	613	21	decomposition	decomposition	NOUN
ejpam-6693	613	22	method	method	NOUN
ejpam-6693	613	23	.	.	PUNCT
ejpam-6693	614	1	international	international	ADJ
ejpam-6693	614	2	journal	journal	PROPN
ejpam-6693	614	3	of	of	ADP
ejpam-6693	614	4	computer	computer	NOUN
ejpam-6693	614	5	mathematics	mathematic	NOUN
ejpam-6693	614	6	,	,	PUNCT
ejpam-6693	614	7	94(1):197–215	94(1):197–215	PROPN
ejpam-6693	614	8	,	,	PUNCT
ejpam-6693	614	9	2017	2017	NUM
ejpam-6693	614	10	.	.	PUNCT
ejpam-6693	615	1	[	[	X
ejpam-6693	615	2	35	35	NUM
ejpam-6693	615	3	]	]	SYM
ejpam-6693	615	4	abdelhalim	abdelhalim	PROPN
ejpam-6693	615	5	ebaid	ebaid	PROPN
ejpam-6693	615	6	,	,	PUNCT
ejpam-6693	615	7	mona	mona	PROPN
ejpam-6693	615	8	d	d	AUX
ejpam-6693	615	9	aljoufi	aljoufi	PROPN
ejpam-6693	615	10	,	,	PUNCT
ejpam-6693	615	11	and	and	CCONJ
ejpam-6693	615	12	abdul	abdul	PROPN
ejpam-6693	615	13	-	-	PUNCT
ejpam-6693	615	14	majid	majid	PROPN
ejpam-6693	615	15	wazwaz	wazwaz	NOUN
ejpam-6693	615	16	.	.	PUNCT
ejpam-6693	616	1	an	an	DET
ejpam-6693	616	2	advanced	advanced	ADJ
ejpam-6693	616	3	study	study	NOUN
ejpam-6693	616	4	on	on	ADP
ejpam-6693	616	5	the	the	DET
ejpam-6693	616	6	solution	solution	NOUN
ejpam-6693	616	7	of	of	ADP
ejpam-6693	616	8	nanofluid	nanofluid	ADJ
ejpam-6693	616	9	flow	flow	NOUN
ejpam-6693	616	10	problems	problem	NOUN
ejpam-6693	616	11	via	via	ADP
ejpam-6693	616	12	adomian	adomian	NOUN
ejpam-6693	616	13	’s	’s	PART
ejpam-6693	616	14	method	method	NOUN
ejpam-6693	616	15	.	.	PUNCT
ejpam-6693	617	1	applied	apply	VERB
ejpam-6693	617	2	mathematics	mathematics	NOUN
ejpam-6693	617	3	letters	letter	NOUN
ejpam-6693	617	4	,	,	PUNCT
ejpam-6693	617	5	46:117–122	46:117–122	PROPN
ejpam-6693	617	6	,	,	PUNCT
ejpam-6693	617	7	2015	2015	NUM
ejpam-6693	617	8	.	.	PUNCT
ejpam-6693	618	1	[	[	X
ejpam-6693	618	2	36	36	NUM
ejpam-6693	618	3	]	]	SYM
ejpam-6693	618	4	s	s	PROPN
ejpam-6693	618	5	hosseini	hosseini	PROPN
ejpam-6693	618	6	,	,	PUNCT
ejpam-6693	618	7	e	e	NOUN
ejpam-6693	618	8	babolian	babolian	NOUN
ejpam-6693	618	9	,	,	PUNCT
ejpam-6693	618	10	s	s	PART
ejpam-6693	618	11	abbasbandy	abbasbandy	NOUN
ejpam-6693	618	12	,	,	PUNCT
ejpam-6693	618	13	et	et	PROPN
ejpam-6693	618	14	al	al	PROPN
ejpam-6693	618	15	.	.	PUNCT
ejpam-6693	619	1	a	a	DET
ejpam-6693	619	2	new	new	ADJ
ejpam-6693	619	3	algorithm	algorithm	NOUN
ejpam-6693	619	4	for	for	ADP
ejpam-6693	619	5	solving	solve	VERB
ejpam-6693	619	6	van	van	PROPN
ejpam-6693	619	7	der	der	ADJ
ejpam-6693	619	8	pol	pol	NOUN
ejpam-6693	619	9	equation	equation	NOUN
ejpam-6693	619	10	based	base	VERB
ejpam-6693	619	11	on	on	ADP
ejpam-6693	619	12	piecewise	piecewise	PROPN
ejpam-6693	619	13	spectral	spectral	ADJ
ejpam-6693	619	14	adomian	adomian	NOUN
ejpam-6693	619	15	decomposition	decomposition	NOUN
ejpam-6693	619	16	method	method	NOUN
ejpam-6693	619	17	.	.	PUNCT
ejpam-6693	620	1	international	international	ADJ
ejpam-6693	620	2	journal	journal	PROPN
ejpam-6693	620	3	of	of	ADP
ejpam-6693	620	4	industrial	industrial	ADJ
ejpam-6693	620	5	mathematics	mathematic	NOUN
ejpam-6693	620	6	,	,	PUNCT
ejpam-6693	620	7	8(3):177–184	8(3):177–184	NUM
ejpam-6693	620	8	,	,	PUNCT
ejpam-6693	620	9	2016	2016	NUM
ejpam-6693	620	10	.	.	PUNCT
ejpam-6693	621	1	[	[	X
ejpam-6693	621	2	37	37	NUM
ejpam-6693	621	3	]	]	X
ejpam-6693	621	4	hadi	hadi	PROPN
ejpam-6693	621	5	roohani	roohani	PROPN
ejpam-6693	621	6	ghehsareh	ghehsareh	PROPN
ejpam-6693	621	7	,	,	PUNCT
ejpam-6693	621	8	saeid	saeid	PROPN
ejpam-6693	621	9	abbasbandy	abbasbandy	PROPN
ejpam-6693	621	10	,	,	PUNCT
ejpam-6693	621	11	and	and	CCONJ
ejpam-6693	621	12	babak	babak	PROPN
ejpam-6693	621	13	soltanalizadeh	soltanalizadeh	PROPN
ejpam-6693	621	14	.	.	PUNCT
ejpam-6693	622	1	analytical	analytical	ADJ
ejpam-6693	622	2	solutions	solution	NOUN
ejpam-6693	622	3	of	of	ADP
ejpam-6693	622	4	the	the	DET
ejpam-6693	622	5	slip	slip	NOUN
ejpam-6693	622	6	magnetohydrodynamic	magnetohydrodynamic	ADJ
ejpam-6693	622	7	viscous	viscous	ADJ
ejpam-6693	622	8	flow	flow	NOUN
ejpam-6693	622	9	over	over	ADP
ejpam-6693	622	10	a	a	DET
ejpam-6693	622	11	stretching	stretch	VERB
ejpam-6693	622	12	sheet	sheet	NOUN
ejpam-6693	622	13	by	by	ADP
ejpam-6693	622	14	using	use	VERB
ejpam-6693	622	15	the	the	DET
ejpam-6693	622	16	laplace	laplace	NOUN
ejpam-6693	622	17	–	–	PUNCT
ejpam-6693	622	18	adomian	adomian	NOUN
ejpam-6693	622	19	decomposition	decomposition	NOUN
ejpam-6693	622	20	method	method	NOUN
ejpam-6693	622	21	.	.	PUNCT
ejpam-6693	623	1	zeitschrift	zeitschrift	NOUN
ejpam-6693	623	2	für	für	PROPN
ejpam-6693	623	3	naturforschung	naturforschung	VERB
ejpam-6693	623	4	a	a	DET
ejpam-6693	623	5	,	,	PUNCT
ejpam-6693	623	6	67(5):248–254	67(5):248–254	PROPN
ejpam-6693	623	7	,	,	PUNCT
ejpam-6693	623	8	2012	2012	NUM
ejpam-6693	623	9	.	.	PUNCT
ejpam-6693	624	1	[	[	X
ejpam-6693	624	2	38	38	NUM
ejpam-6693	624	3	]	]	PUNCT
ejpam-6693	624	4	abdul	abdul	PROPN
ejpam-6693	624	5	-	-	PUNCT
ejpam-6693	624	6	majid	majid	PROPN
ejpam-6693	624	7	wazwaz	wazwaz	PROPN
ejpam-6693	624	8	,	,	PUNCT
ejpam-6693	624	9	randolph	randolph	PROPN
ejpam-6693	624	10	rach	rach	PROPN
ejpam-6693	624	11	,	,	PUNCT
ejpam-6693	624	12	and	and	CCONJ
ejpam-6693	624	13	jun	jun	PROPN
ejpam-6693	624	14	-	-	PUNCT
ejpam-6693	624	15	sheng	sheng	PROPN
ejpam-6693	624	16	duan	duan	PROPN
ejpam-6693	624	17	.	.	PROPN
ejpam-6693	624	18	adomian	adomian	PROPN
ejpam-6693	624	19	decomposition	decomposition	NOUN
ejpam-6693	624	20	method	method	NOUN
ejpam-6693	624	21	for	for	ADP
ejpam-6693	624	22	solving	solve	VERB
ejpam-6693	624	23	the	the	DET
ejpam-6693	624	24	volterra	volterra	NOUN
ejpam-6693	624	25	integral	integral	ADJ
ejpam-6693	624	26	form	form	NOUN
ejpam-6693	624	27	of	of	ADP
ejpam-6693	624	28	the	the	DET
ejpam-6693	624	29	lane	lane	NOUN
ejpam-6693	624	30	–	–	PUNCT
ejpam-6693	624	31	emden	emden	ADJ
ejpam-6693	624	32	equations	equation	NOUN
ejpam-6693	624	33	with	with	ADP
ejpam-6693	624	34	initial	initial	ADJ
ejpam-6693	624	35	values	value	NOUN
ejpam-6693	624	36	and	and	CCONJ
ejpam-6693	624	37	boundary	boundary	ADJ
ejpam-6693	624	38	conditions	condition	NOUN
ejpam-6693	624	39	.	.	PUNCT
ejpam-6693	625	1	applied	apply	VERB
ejpam-6693	625	2	mathematics	mathematic	NOUN
ejpam-6693	625	3	and	and	CCONJ
ejpam-6693	625	4	computation	computation	NOUN
ejpam-6693	625	5	,	,	PUNCT
ejpam-6693	625	6	219(10):5004–5019	219(10):5004–5019	NUM
ejpam-6693	625	7	,	,	PUNCT
ejpam-6693	625	8	2013	2013	NUM
ejpam-6693	625	9	.	.	PUNCT
ejpam-6693	626	1	[	[	X
ejpam-6693	626	2	39	39	NUM
ejpam-6693	626	3	]	]	PUNCT
ejpam-6693	626	4	sunil	sunil	PROPN
ejpam-6693	626	5	kumar	kumar	PROPN
ejpam-6693	626	6	,	,	PUNCT
ejpam-6693	626	7	deepak	deepak	PROPN
ejpam-6693	626	8	kumar	kumar	PROPN
ejpam-6693	626	9	,	,	PUNCT
ejpam-6693	626	10	saeid	saeid	PROPN
ejpam-6693	626	11	abbasbandy	abbasbandy	PROPN
ejpam-6693	626	12	,	,	PUNCT
ejpam-6693	626	13	and	and	CCONJ
ejpam-6693	626	14	mm	mm	PROPN
ejpam-6693	626	15	rashidi	rashidi	NOUN
ejpam-6693	626	16	.	.	PUNCT
ejpam-6693	627	1	analytical	analytical	ADJ
ejpam-6693	627	2	solution	solution	NOUN
ejpam-6693	627	3	of	of	ADP
ejpam-6693	627	4	fractional	fractional	ADJ
ejpam-6693	627	5	navier	navier	NOUN
ejpam-6693	627	6	–	–	PUNCT
ejpam-6693	627	7	stokes	stoke	NOUN
ejpam-6693	627	8	equation	equation	NOUN
ejpam-6693	627	9	by	by	ADP
ejpam-6693	627	10	using	use	VERB
ejpam-6693	627	11	modified	modify	VERB
ejpam-6693	627	12	laplace	laplace	NOUN
ejpam-6693	627	13	decomposition	decomposition	NOUN
ejpam-6693	627	14	method	method	NOUN
ejpam-6693	627	15	.	.	PUNCT
ejpam-6693	628	1	ain	ain	PROPN
ejpam-6693	628	2	shams	sham	VERB
ejpam-6693	628	3	engineering	engineering	NOUN
ejpam-6693	628	4	journal	journal	NOUN
ejpam-6693	628	5	,	,	PUNCT
ejpam-6693	628	6	5(2):569–574	5(2):569–574	NOUN
ejpam-6693	628	7	,	,	PUNCT
ejpam-6693	628	8	2014	2014	NUM
ejpam-6693	628	9	.	.	PUNCT
ejpam-6693	629	1	r.	r.	PROPN
ejpam-6693	629	2	m.	m.	PROPN
ejpam-6693	629	3	kamble	kamble	PROPN
ejpam-6693	629	4	,	,	PUNCT
ejpam-6693	629	5	p.	p.	PROPN
ejpam-6693	629	6	r.	r.	PROPN
ejpam-6693	630	1	kulkarni	kulkarni	PROPN
ejpam-6693	630	2	/	/	SYM
ejpam-6693	630	3	eur	eur	PROPN
ejpam-6693	630	4	.	.	PUNCT
ejpam-6693	631	1	j.	j.	PROPN
ejpam-6693	631	2	pure	pure	PROPN
ejpam-6693	631	3	appl	appl	PROPN
ejpam-6693	631	4	.	.	PROPN
ejpam-6693	631	5	math	math	PROPN
ejpam-6693	631	6	,	,	PUNCT
ejpam-6693	631	7	18	18	NUM
ejpam-6693	631	8	(	(	PUNCT
ejpam-6693	631	9	4	4	NUM
ejpam-6693	631	10	)	)	PUNCT
ejpam-6693	631	11	(	(	PUNCT
ejpam-6693	631	12	2025	2025	NUM
ejpam-6693	631	13	)	)	PUNCT
ejpam-6693	631	14	,	,	PUNCT
ejpam-6693	631	15	6693	6693	NUM
ejpam-6693	631	16	39	39	NUM
ejpam-6693	631	17	of	of	ADP
ejpam-6693	631	18	40	40	NUM
ejpam-6693	631	19	[	[	SYM
ejpam-6693	631	20	40	40	NUM
ejpam-6693	631	21	]	]	PUNCT
ejpam-6693	631	22	samad	samad	PROPN
ejpam-6693	631	23	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	631	24	,	,	PUNCT
ejpam-6693	631	25	eisa	eisa	NOUN
ejpam-6693	631	26	zarei	zarei	ADV
ejpam-6693	631	27	,	,	PUNCT
ejpam-6693	631	28	and	and	CCONJ
ejpam-6693	631	29	hasan	hasan	PROPN
ejpam-6693	631	30	barzegar	barzegar	PROPN
ejpam-6693	631	31	kelishami	kelishami	PROPN
ejpam-6693	631	32	.	.	PUNCT
ejpam-6693	632	1	homotopy	homotopy	VERB
ejpam-6693	632	2	analysis	analysis	NOUN
ejpam-6693	632	3	transform	transform	NOUN
ejpam-6693	632	4	method	method	NOUN
ejpam-6693	632	5	for	for	ADP
ejpam-6693	632	6	solving	solve	VERB
ejpam-6693	632	7	abel	abel	NOUN
ejpam-6693	632	8	’s	’s	PART
ejpam-6693	632	9	integral	integral	ADJ
ejpam-6693	632	10	equations	equation	NOUN
ejpam-6693	632	11	of	of	ADP
ejpam-6693	632	12	the	the	DET
ejpam-6693	632	13	first	first	ADJ
ejpam-6693	632	14	kind	kind	NOUN
ejpam-6693	632	15	.	.	PUNCT
ejpam-6693	633	1	ain	ain	PROPN
ejpam-6693	633	2	shams	sham	VERB
ejpam-6693	633	3	engineering	engineering	NOUN
ejpam-6693	633	4	journal	journal	NOUN
ejpam-6693	633	5	,	,	PUNCT
ejpam-6693	633	6	7(1):483–495	7(1):483–495	NUM
ejpam-6693	633	7	,	,	PUNCT
ejpam-6693	633	8	2016	2016	NUM
ejpam-6693	633	9	.	.	PUNCT
ejpam-6693	634	1	[	[	X
ejpam-6693	634	2	41	41	NUM
ejpam-6693	634	3	]	]	X
ejpam-6693	634	4	samad	samad	PROPN
ejpam-6693	634	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	634	6	and	and	CCONJ
ejpam-6693	634	7	emran	emran	PROPN
ejpam-6693	634	8	khoshrouye	khoshrouye	PROPN
ejpam-6693	634	9	ghiasi	ghiasi	PROPN
ejpam-6693	634	10	.	.	PUNCT
ejpam-6693	635	1	solving	solve	VERB
ejpam-6693	635	2	a	a	DET
ejpam-6693	635	3	non	non	ADJ
ejpam-6693	635	4	-	-	ADJ
ejpam-6693	635	5	linear	linear	ADJ
ejpam-6693	635	6	model	model	NOUN
ejpam-6693	635	7	of	of	ADP
ejpam-6693	635	8	hiv	hiv	PROPN
ejpam-6693	635	9	infection	infection	NOUN
ejpam-6693	635	10	for	for	ADP
ejpam-6693	635	11	cd4	cd4	PROPN
ejpam-6693	635	12	+	+	PROPN
ejpam-6693	635	13	t	t	NOUN
ejpam-6693	635	14	cells	cell	NOUN
ejpam-6693	635	15	by	by	ADP
ejpam-6693	635	16	combining	combine	VERB
ejpam-6693	635	17	laplace	laplace	NOUN
ejpam-6693	635	18	transformation	transformation	NOUN
ejpam-6693	635	19	and	and	CCONJ
ejpam-6693	635	20	homotopy	homotopy	VERB
ejpam-6693	635	21	analysis	analysis	NOUN
ejpam-6693	635	22	method	method	NOUN
ejpam-6693	635	23	.	.	PUNCT
ejpam-6693	636	1	arxiv	arxiv	PROPN
ejpam-6693	636	2	preprint	preprint	PROPN
ejpam-6693	636	3	arxiv:1809.06232	arxiv:1809.06232	PROPN
ejpam-6693	636	4	,	,	PUNCT
ejpam-6693	636	5	2018	2018	NUM
ejpam-6693	636	6	.	.	PUNCT
ejpam-6693	637	1	[	[	X
ejpam-6693	637	2	42	42	NUM
ejpam-6693	637	3	]	]	X
ejpam-6693	637	4	samad	samad	PROPN
ejpam-6693	637	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	637	6	,	,	PUNCT
ejpam-6693	637	7	muhammad	muhammad	PROPN
ejpam-6693	637	8	suleman	suleman	PROPN
ejpam-6693	637	9	,	,	PUNCT
ejpam-6693	637	10	and	and	CCONJ
ejpam-6693	637	11	hüseyin	hüseyin	PROPN
ejpam-6693	637	12	budak	budak	PROPN
ejpam-6693	637	13	.	.	PUNCT
ejpam-6693	638	1	solving	solve	VERB
ejpam-6693	638	2	a	a	DET
ejpam-6693	638	3	modified	modified	ADJ
ejpam-6693	638	4	nonlinear	nonlinear	ADJ
ejpam-6693	638	5	epidemiological	epidemiological	ADJ
ejpam-6693	638	6	model	model	NOUN
ejpam-6693	638	7	of	of	ADP
ejpam-6693	638	8	computer	computer	NOUN
ejpam-6693	638	9	viruses	virus	NOUN
ejpam-6693	638	10	by	by	ADP
ejpam-6693	638	11	homotopy	homotopy	NOUN
ejpam-6693	638	12	analysis	analysis	NOUN
ejpam-6693	638	13	method	method	NOUN
ejpam-6693	638	14	.	.	PUNCT
ejpam-6693	639	1	mathematical	mathematical	ADJ
ejpam-6693	639	2	sciences	sciences	PROPN
ejpam-6693	639	3	,	,	PUNCT
ejpam-6693	639	4	3(18):211–222	3(18):211–222	NUM
ejpam-6693	639	5	,	,	PUNCT
ejpam-6693	639	6	2012	2012	NUM
ejpam-6693	639	7	.	.	PUNCT
ejpam-6693	640	1	[	[	X
ejpam-6693	640	2	43	43	NUM
ejpam-6693	640	3	]	]	X
ejpam-6693	640	4	s.	s.	PROPN
ejpam-6693	640	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	640	6	m.a	m.a	PROPN
ejpam-6693	640	7	.	.	PROPN
ejpam-6693	640	8	fariborzi	fariborzi	PROPN
ejpam-6693	640	9	araghi	araghi	PROPN
ejpam-6693	640	10	.	.	PUNCT
ejpam-6693	641	1	homotopy	homotopy	VERB
ejpam-6693	641	2	analysis	analysis	NOUN
ejpam-6693	641	3	transform	transform	NOUN
ejpam-6693	641	4	method	method	NOUN
ejpam-6693	641	5	for	for	ADP
ejpam-6693	641	6	solving	solve	VERB
ejpam-6693	641	7	generalized	generalized	ADJ
ejpam-6693	641	8	abel	abel	PROPN
ejpam-6693	641	9	’s	’s	PART
ejpam-6693	641	10	fuzzy	fuzzy	ADJ
ejpam-6693	641	11	integral	integral	ADJ
ejpam-6693	641	12	equations	equation	NOUN
ejpam-6693	641	13	of	of	ADP
ejpam-6693	641	14	the	the	DET
ejpam-6693	641	15	first	first	ADJ
ejpam-6693	641	16	kind	kind	NOUN
ejpam-6693	641	17	.	.	PUNCT
ejpam-6693	642	1	ieee	ieee	NOUN
ejpam-6693	642	2	,	,	PUNCT
ejpam-6693	642	3	2016	2016	NUM
ejpam-6693	642	4	.	.	PUNCT
ejpam-6693	643	1	[	[	X
ejpam-6693	643	2	44	44	NUM
ejpam-6693	643	3	]	]	X
ejpam-6693	643	4	sumit	sumit	PROPN
ejpam-6693	643	5	gupta	gupta	PROPN
ejpam-6693	643	6	,	,	PUNCT
ejpam-6693	643	7	devendra	devendra	PROPN
ejpam-6693	643	8	kumar	kumar	PROPN
ejpam-6693	643	9	,	,	PUNCT
ejpam-6693	643	10	and	and	CCONJ
ejpam-6693	643	11	jagdev	jagdev	PROPN
ejpam-6693	643	12	singh	singh	PROPN
ejpam-6693	643	13	.	.	PUNCT
ejpam-6693	644	1	analytical	analytical	ADJ
ejpam-6693	644	2	solutions	solution	NOUN
ejpam-6693	644	3	of	of	ADP
ejpam-6693	644	4	convection	convection	NOUN
ejpam-6693	644	5	–	–	PUNCT
ejpam-6693	644	6	diffusion	diffusion	NOUN
ejpam-6693	644	7	problems	problem	NOUN
ejpam-6693	644	8	by	by	ADP
ejpam-6693	644	9	combining	combine	VERB
ejpam-6693	644	10	laplace	laplace	NOUN
ejpam-6693	644	11	transform	transform	NOUN
ejpam-6693	644	12	method	method	NOUN
ejpam-6693	644	13	and	and	CCONJ
ejpam-6693	644	14	homotopy	homotopy	VERB
ejpam-6693	644	15	perturbation	perturbation	NOUN
ejpam-6693	644	16	method	method	NOUN
ejpam-6693	644	17	.	.	PUNCT
ejpam-6693	645	1	alexandria	alexandria	PROPN
ejpam-6693	645	2	engineering	engineering	PROPN
ejpam-6693	645	3	journal	journal	PROPN
ejpam-6693	645	4	,	,	PUNCT
ejpam-6693	645	5	54(3):645–651	54(3):645–651	PROPN
ejpam-6693	645	6	,	,	PUNCT
ejpam-6693	645	7	2015	2015	NUM
ejpam-6693	645	8	.	.	PUNCT
ejpam-6693	646	1	[	[	X
ejpam-6693	646	2	45	45	NUM
ejpam-6693	646	3	]	]	PUNCT
ejpam-6693	646	4	claude	claude	PROPN
ejpam-6693	646	5	rodrigue	rodrigue	PROPN
ejpam-6693	646	6	bambe	bambe	VERB
ejpam-6693	646	7	moutsinga	moutsinga	PROPN
ejpam-6693	646	8	,	,	PUNCT
ejpam-6693	646	9	edson	edson	PROPN
ejpam-6693	646	10	pindza	pindza	PROPN
ejpam-6693	646	11	,	,	PUNCT
ejpam-6693	646	12	and	and	CCONJ
ejpam-6693	646	13	eben	eben	PROPN
ejpam-6693	646	14	mare	mare	PROPN
ejpam-6693	646	15	.	.	PUNCT
ejpam-6693	647	1	homotopy	homotopy	VERB
ejpam-6693	647	2	perturbation	perturbation	NOUN
ejpam-6693	647	3	transform	transform	NOUN
ejpam-6693	647	4	method	method	NOUN
ejpam-6693	647	5	for	for	ADP
ejpam-6693	647	6	pricing	pricing	NOUN
ejpam-6693	647	7	under	under	ADP
ejpam-6693	647	8	pure	pure	ADJ
ejpam-6693	647	9	diffusion	diffusion	NOUN
ejpam-6693	647	10	models	model	NOUN
ejpam-6693	647	11	with	with	ADP
ejpam-6693	647	12	affine	affine	NOUN
ejpam-6693	647	13	coefficients	coefficient	NOUN
ejpam-6693	647	14	.	.	PUNCT
ejpam-6693	648	1	journal	journal	PROPN
ejpam-6693	648	2	of	of	ADP
ejpam-6693	648	3	king	king	PROPN
ejpam-6693	648	4	saud	saud	PROPN
ejpam-6693	648	5	university	university	PROPN
ejpam-6693	648	6	-	-	PUNCT
ejpam-6693	648	7	science	science	NOUN
ejpam-6693	648	8	,	,	PUNCT
ejpam-6693	648	9	30(1):1–13	30(1):1–13	NUM
ejpam-6693	648	10	,	,	PUNCT
ejpam-6693	648	11	2018	2018	NUM
ejpam-6693	648	12	.	.	PUNCT
ejpam-6693	649	1	[	[	X
ejpam-6693	649	2	46	46	NUM
ejpam-6693	649	3	]	]	X
ejpam-6693	649	4	mh	mh	PROPN
ejpam-6693	649	5	tiwana	tiwana	PROPN
ejpam-6693	649	6	,	,	PUNCT
ejpam-6693	649	7	k	k	PROPN
ejpam-6693	649	8	maqbool	maqbool	PROPN
ejpam-6693	649	9	,	,	PUNCT
ejpam-6693	649	10	and	and	CCONJ
ejpam-6693	649	11	ab	ab	PROPN
ejpam-6693	649	12	mann	mann	PROPN
ejpam-6693	649	13	.	.	PUNCT
ejpam-6693	650	1	homotopy	homotopy	PROPN
ejpam-6693	650	2	perturbation	perturbation	NOUN
ejpam-6693	650	3	laplace	laplace	NOUN
ejpam-6693	650	4	transform	transform	NOUN
ejpam-6693	650	5	solution	solution	NOUN
ejpam-6693	650	6	of	of	ADP
ejpam-6693	650	7	fractional	fractional	ADJ
ejpam-6693	650	8	non	non	ADJ
ejpam-6693	650	9	-	-	ADJ
ejpam-6693	650	10	linear	linear	ADJ
ejpam-6693	650	11	reaction	reaction	NOUN
ejpam-6693	650	12	diffusion	diffusion	NOUN
ejpam-6693	650	13	system	system	NOUN
ejpam-6693	650	14	of	of	ADP
ejpam-6693	650	15	lotka	lotka	PROPN
ejpam-6693	650	16	-	-	PUNCT
ejpam-6693	650	17	volterra	volterra	NOUN
ejpam-6693	650	18	type	type	NOUN
ejpam-6693	650	19	differential	differential	NOUN
ejpam-6693	650	20	equation	equation	NOUN
ejpam-6693	650	21	.	.	PUNCT
ejpam-6693	651	1	engineering	engineering	NOUN
ejpam-6693	651	2	science	science	NOUN
ejpam-6693	651	3	and	and	CCONJ
ejpam-6693	651	4	technology	technology	NOUN
ejpam-6693	651	5	,	,	PUNCT
ejpam-6693	651	6	an	an	DET
ejpam-6693	651	7	international	international	ADJ
ejpam-6693	651	8	journal	journal	NOUN
ejpam-6693	651	9	,	,	PUNCT
ejpam-6693	651	10	20(2):672–678	20(2):672–678	PROPN
ejpam-6693	651	11	,	,	PUNCT
ejpam-6693	651	12	2017	2017	NUM
ejpam-6693	651	13	.	.	PUNCT
ejpam-6693	652	1	[	[	X
ejpam-6693	652	2	47	47	NUM
ejpam-6693	652	3	]	]	PUNCT
ejpam-6693	652	4	samad	samad	PROPN
ejpam-6693	652	5	noeiaghdam	noeiaghdam	PROPN
ejpam-6693	652	6	.	.	PUNCT
ejpam-6693	653	1	numerical	numerical	ADJ
ejpam-6693	653	2	approximation	approximation	NOUN
ejpam-6693	653	3	of	of	ADP
ejpam-6693	653	4	modified	modified	ADJ
ejpam-6693	653	5	non	non	ADJ
ejpam-6693	653	6	-	-	ADJ
ejpam-6693	653	7	linear	linear	ADJ
ejpam-6693	653	8	sir	sir	NOUN
ejpam-6693	653	9	model	model	NOUN
ejpam-6693	653	10	of	of	ADP
ejpam-6693	653	11	computer	computer	NOUN
ejpam-6693	653	12	viruses	virus	NOUN
ejpam-6693	653	13	.	.	PUNCT
ejpam-6693	654	1	arxiv	arxiv	PROPN
ejpam-6693	654	2	preprint	preprint	VERB
ejpam-6693	654	3	arxiv:1901.10804	arxiv:1901.10804	NOUN
ejpam-6693	654	4	,	,	PUNCT
ejpam-6693	654	5	2019	2019	NUM
ejpam-6693	654	6	.	.	PUNCT
ejpam-6693	655	1	[	[	X
ejpam-6693	655	2	48	48	NUM
ejpam-6693	655	3	]	]	PUNCT
ejpam-6693	655	4	ricardo	ricardo	PROPN
ejpam-6693	655	5	almeida	almeida	PROPN
ejpam-6693	655	6	,	,	PUNCT
ejpam-6693	655	7	nuno	nuno	PROPN
ejpam-6693	655	8	ro	ro	PROPN
ejpam-6693	655	9	bastos	bastos	PROPN
ejpam-6693	655	10	,	,	PUNCT
ejpam-6693	655	11	and	and	CCONJ
ejpam-6693	655	12	m	m	PROPN
ejpam-6693	655	13	teresa	teresa	PROPN
ejpam-6693	655	14	t	t	PROPN
ejpam-6693	655	15	monteiro	monteiro	PROPN
ejpam-6693	655	16	.	.	PUNCT
ejpam-6693	656	1	modeling	model	VERB
ejpam-6693	656	2	some	some	DET
ejpam-6693	656	3	real	real	ADJ
ejpam-6693	656	4	phenomena	phenomenon	NOUN
ejpam-6693	656	5	by	by	ADP
ejpam-6693	656	6	fractional	fractional	ADJ
ejpam-6693	656	7	differential	differential	ADJ
ejpam-6693	656	8	equations	equation	NOUN
ejpam-6693	656	9	.	.	PUNCT
ejpam-6693	657	1	mathematical	mathematical	ADJ
ejpam-6693	657	2	methods	method	NOUN
ejpam-6693	657	3	in	in	ADP
ejpam-6693	657	4	the	the	DET
ejpam-6693	657	5	applied	apply	VERB
ejpam-6693	657	6	sciences	science	NOUN
ejpam-6693	657	7	,	,	PUNCT
ejpam-6693	657	8	39(16):4846–4855	39(16):4846–4855	NUM
ejpam-6693	657	9	,	,	PUNCT
ejpam-6693	657	10	2016	2016	NUM
ejpam-6693	657	11	.	.	PUNCT
ejpam-6693	658	1	[	[	X
ejpam-6693	658	2	49	49	NUM
ejpam-6693	658	3	]	]	X
ejpam-6693	658	4	kai	kai	PROPN
ejpam-6693	658	5	diethelm	diethelm	PROPN
ejpam-6693	658	6	,	,	PUNCT
ejpam-6693	658	7	neville	neville	PROPN
ejpam-6693	658	8	j	j	PROPN
ejpam-6693	658	9	ford	ford	PROPN
ejpam-6693	658	10	,	,	PUNCT
ejpam-6693	658	11	alan	alan	PROPN
ejpam-6693	658	12	d	d	PROPN
ejpam-6693	658	13	freed	free	VERB
ejpam-6693	658	14	,	,	PUNCT
ejpam-6693	658	15	and	and	CCONJ
ejpam-6693	658	16	yu	yu	PROPN
ejpam-6693	658	17	luchko	luchko	VERB
ejpam-6693	658	18	.	.	PUNCT
ejpam-6693	659	1	algorithms	algorithm	NOUN
ejpam-6693	659	2	for	for	ADP
ejpam-6693	659	3	the	the	DET
ejpam-6693	659	4	fractional	fractional	ADJ
ejpam-6693	659	5	calculus	calculus	NOUN
ejpam-6693	659	6	:	:	PUNCT
ejpam-6693	659	7	a	a	DET
ejpam-6693	659	8	selection	selection	NOUN
ejpam-6693	659	9	of	of	ADP
ejpam-6693	659	10	numerical	numerical	ADJ
ejpam-6693	659	11	methods	method	NOUN
ejpam-6693	659	12	.	.	PUNCT
ejpam-6693	660	1	computer	computer	NOUN
ejpam-6693	660	2	methods	method	NOUN
ejpam-6693	660	3	in	in	ADP
ejpam-6693	660	4	applied	applied	ADJ
ejpam-6693	660	5	mechanics	mechanic	NOUN
ejpam-6693	660	6	and	and	CCONJ
ejpam-6693	660	7	engineering	engineering	NOUN
ejpam-6693	660	8	,	,	PUNCT
ejpam-6693	660	9	194(6	194(6	NUM
ejpam-6693	660	10	-	-	SYM
ejpam-6693	660	11	8):743–773	8):743–773	NUM
ejpam-6693	660	12	,	,	PUNCT
ejpam-6693	660	13	2005	2005	NUM
ejpam-6693	660	14	.	.	PUNCT
ejpam-6693	661	1	[	[	X
ejpam-6693	661	2	50	50	NUM
ejpam-6693	661	3	]	]	PUNCT
ejpam-6693	661	4	kamble	kamble	ADJ
ejpam-6693	661	5	rajratna	rajratna	PROPN
ejpam-6693	661	6	m.	m.	NOUN
ejpam-6693	661	7	and	and	CCONJ
ejpam-6693	661	8	kulkarni	kulkarni	PROPN
ejpam-6693	661	9	pramod	pramod	PROPN
ejpam-6693	661	10	ramakant	ramakant	PROPN
ejpam-6693	661	11	.	.	PUNCT
ejpam-6693	662	1	on	on	ADP
ejpam-6693	662	2	some	some	DET
ejpam-6693	662	3	existence	existence	NOUN
ejpam-6693	662	4	and	and	CCONJ
ejpam-6693	662	5	uniqueness	uniqueness	NOUN
ejpam-6693	662	6	results	result	NOUN
ejpam-6693	662	7	for	for	ADP
ejpam-6693	662	8	nonlinear	nonlinear	ADJ
ejpam-6693	662	9	fractional	fractional	ADJ
ejpam-6693	662	10	differential	differential	ADJ
ejpam-6693	662	11	equations	equation	NOUN
ejpam-6693	662	12	with	with	ADP
ejpam-6693	662	13	boundary	boundary	ADJ
ejpam-6693	662	14	conditions	condition	NOUN
ejpam-6693	662	15	.	.	PUNCT
ejpam-6693	663	1	econophysics	econophysic	NOUN
ejpam-6693	663	2	,	,	PUNCT
ejpam-6693	663	3	sociophysics	sociophysic	NOUN
ejpam-6693	663	4	and	and	CCONJ
ejpam-6693	663	5	other	other	ADJ
ejpam-6693	663	6	multidisciplinary	multidisciplinary	ADJ
ejpam-6693	663	7	sciences	science	NOUN
ejpam-6693	663	8	journal	journal	PROPN
ejpam-6693	663	9	(	(	PUNCT
ejpam-6693	663	10	esmsj	esmsj	PROPN
ejpam-6693	663	11	)	)	PUNCT
ejpam-6693	663	12	,	,	PUNCT
ejpam-6693	663	13	12(1):11–18	12(1):11–18	NUM
ejpam-6693	663	14	,	,	PUNCT
ejpam-6693	663	15	2023	2023	NUM
ejpam-6693	663	16	.	.	PUNCT
ejpam-6693	664	1	[	[	X
ejpam-6693	664	2	51	51	NUM
ejpam-6693	664	3	]	]	X
ejpam-6693	664	4	kamble	kamble	ADJ
ejpam-6693	664	5	rajratna	rajratna	PROPN
ejpam-6693	664	6	m.	m.	NOUN
ejpam-6693	664	7	and	and	CCONJ
ejpam-6693	664	8	kulkarni	kulkarni	PROPN
ejpam-6693	664	9	pramod	pramod	PROPN
ejpam-6693	664	10	r	r	PROPN
ejpam-6693	664	11	.	.	PUNCT
ejpam-6693	665	1	existence	existence	NOUN
ejpam-6693	665	2	and	and	CCONJ
ejpam-6693	665	3	uniqueness	uniqueness	NOUN
ejpam-6693	665	4	of	of	ADP
ejpam-6693	665	5	continuous	continuous	ADJ
ejpam-6693	665	6	solutions	solution	NOUN
ejpam-6693	665	7	for	for	ADP
ejpam-6693	665	8	conformable	conformable	ADJ
ejpam-6693	665	9	fractional	fractional	ADJ
ejpam-6693	665	10	integro	integro	ADJ
ejpam-6693	665	11	-	-	PUNCT
ejpam-6693	665	12	differential	differential	NOUN
ejpam-6693	665	13	equations	equation	NOUN
ejpam-6693	665	14	in	in	ADP
ejpam-6693	665	15	cone	cone	NOUN
ejpam-6693	665	16	metric	metric	ADJ
ejpam-6693	665	17	spaces	space	NOUN
ejpam-6693	665	18	.	.	PUNCT
ejpam-6693	666	1	communications	communication	NOUN
ejpam-6693	666	2	on	on	ADP
ejpam-6693	666	3	applied	apply	VERB
ejpam-6693	666	4	nonlinear	nonlinear	ADJ
ejpam-6693	666	5	analysis	analysis	NOUN
ejpam-6693	666	6	,	,	PUNCT
ejpam-6693	666	7	32(9s):1303–1311	32(9s):1303–1311	NUM
ejpam-6693	666	8	,	,	PUNCT
ejpam-6693	666	9	2025	2025	NUM
ejpam-6693	666	10	.	.	PUNCT
ejpam-6693	667	1	[	[	X
ejpam-6693	667	2	52	52	NUM
ejpam-6693	667	3	]	]	PUNCT
ejpam-6693	667	4	rajratana	rajratana	PROPN
ejpam-6693	667	5	maroti	maroti	PROPN
ejpam-6693	667	6	kamble	kamble	PROPN
ejpam-6693	667	7	and	and	CCONJ
ejpam-6693	667	8	pramod	pramod	PROPN
ejpam-6693	667	9	ramakant	ramakant	PROPN
ejpam-6693	667	10	kulkarni	kulkarni	PROPN
ejpam-6693	667	11	.	.	PUNCT
ejpam-6693	668	1	extended	extend	VERB
ejpam-6693	668	2	fractional	fractional	ADJ
ejpam-6693	668	3	derivative	derivative	NOUN
ejpam-6693	668	4	:	:	PUNCT
ejpam-6693	668	5	some	some	DET
ejpam-6693	668	6	results	result	NOUN
ejpam-6693	668	7	involving	involve	VERB
ejpam-6693	668	8	classical	classical	ADJ
ejpam-6693	668	9	properties	property	NOUN
ejpam-6693	668	10	and	and	CCONJ
ejpam-6693	668	11	applications	application	NOUN
ejpam-6693	668	12	.	.	PUNCT
ejpam-6693	669	1	scientific	scientific	ADJ
ejpam-6693	669	2	temper	temper	NOUN
ejpam-6693	669	3	,	,	PUNCT
ejpam-6693	669	4	15(4):3026–3033	15(4):3026–3033	NUM
ejpam-6693	669	5	,	,	PUNCT
ejpam-6693	669	6	2024	2024	NUM
ejpam-6693	669	7	.	.	PUNCT
ejpam-6693	670	1	[	[	X
ejpam-6693	670	2	53	53	NUM
ejpam-6693	670	3	]	]	X
ejpam-6693	670	4	kamble	kamble	ADJ
ejpam-6693	670	5	rajratna	rajratna	PROPN
ejpam-6693	670	6	m	m	PROPN
ejpam-6693	670	7	and	and	CCONJ
ejpam-6693	670	8	kulkarni	kulkarni	PROPN
ejpam-6693	670	9	pramod	pramod	PROPN
ejpam-6693	670	10	r.	r.	PROPN
ejpam-6693	670	11	existence	existence	PROPN
ejpam-6693	670	12	and	and	CCONJ
ejpam-6693	670	13	uniqueness	uniqueness	NOUN
ejpam-6693	670	14	of	of	ADP
ejpam-6693	670	15	solutions	solution	NOUN
ejpam-6693	670	16	for	for	ADP
ejpam-6693	670	17	exponential	exponential	ADJ
ejpam-6693	670	18	fractional	fractional	ADJ
ejpam-6693	670	19	differential	differential	NOUN
ejpam-6693	670	20	equations	equation	NOUN
ejpam-6693	670	21	.	.	PUNCT
ejpam-6693	671	1	scientific	scientific	ADJ
ejpam-6693	671	2	temper	temper	NOUN
ejpam-6693	671	3	,	,	PUNCT
ejpam-6693	671	4	15(4):3008–3012	15(4):3008–3012	NUM
ejpam-6693	671	5	,	,	PUNCT
ejpam-6693	671	6	2024	2024	NUM
ejpam-6693	671	7	.	.	PUNCT
ejpam-6693	672	1	[	[	X
ejpam-6693	672	2	54	54	NUM
ejpam-6693	672	3	]	]	X
ejpam-6693	672	4	kamble	kamble	ADJ
ejpam-6693	672	5	rajratna	rajratna	PROPN
ejpam-6693	672	6	m	m	PROPN
ejpam-6693	672	7	and	and	CCONJ
ejpam-6693	672	8	kulkarni	kulkarni	PROPN
ejpam-6693	672	9	pramod	pramod	PROPN
ejpam-6693	672	10	r.	r.	PROPN
ejpam-6693	672	11	laplace	laplace	PROPN
ejpam-6693	672	12	transform	transform	VERB
ejpam-6693	672	13	and	and	CCONJ
ejpam-6693	672	14	laplace	laplace	NOUN
ejpam-6693	672	15	der	der	PROPN
ejpam-6693	672	16	.	.	PUNCT
ejpam-6693	673	1	m.	m.	PROPN
ejpam-6693	673	2	kamble	kamble	PROPN
ejpam-6693	673	3	,	,	PUNCT
ejpam-6693	673	4	p.	p.	PROPN
ejpam-6693	673	5	r.	r.	PROPN
ejpam-6693	674	1	kulkarni	kulkarni	PROPN
ejpam-6693	674	2	/	/	SYM
ejpam-6693	674	3	eur	eur	PROPN
ejpam-6693	674	4	.	.	PUNCT
ejpam-6693	675	1	j.	j.	PROPN
ejpam-6693	675	2	pure	pure	PROPN
ejpam-6693	675	3	appl	appl	PROPN
ejpam-6693	675	4	.	.	PROPN
ejpam-6693	675	5	math	math	PROPN
ejpam-6693	675	6	,	,	PUNCT
ejpam-6693	675	7	18	18	NUM
ejpam-6693	675	8	(	(	PUNCT
ejpam-6693	675	9	4	4	NUM
ejpam-6693	675	10	)	)	PUNCT
ejpam-6693	675	11	(	(	PUNCT
ejpam-6693	675	12	2025	2025	NUM
ejpam-6693	675	13	)	)	PUNCT
ejpam-6693	675	14	,	,	PUNCT
ejpam-6693	675	15	6693	6693	NUM
ejpam-6693	675	16	40	40	NUM
ejpam-6693	675	17	of	of	ADP
ejpam-6693	675	18	40	40	NUM
ejpam-6693	675	19	composition	composition	NOUN
ejpam-6693	675	20	method	method	NOUN
ejpam-6693	675	21	for	for	ADP
ejpam-6693	675	22	of	of	ADP
ejpam-6693	675	23	order	order	NOUN
ejpam-6693	675	24	of	of	ADP
ejpam-6693	675	25	fractional	fractional	ADJ
ejpam-6693	675	26	differential	differential	ADJ
ejpam-6693	675	27	difference	difference	NOUN
ejpam-6693	675	28	equations	equation	NOUN
ejpam-6693	675	29	with	with	ADP
ejpam-6693	675	30	interval	interval	NOUN
ejpam-6693	675	31	conditions	condition	NOUN
ejpam-6693	675	32	linear	linear	ADJ
ejpam-6693	675	33	and	and	CCONJ
ejpam-6693	675	34	nonlinear	nonlinear	ADJ
ejpam-6693	675	35	.	.	PUNCT
ejpam-6693	676	1	iosr	iosr	ADJ
ejpam-6693	676	2	journal	journal	PROPN
ejpam-6693	676	3	of	of	ADP
ejpam-6693	676	4	mathematics	mathematics	PROPN
ejpam-6693	676	5	(	(	PUNCT
ejpam-6693	676	6	iosr	iosr	PROPN
ejpam-6693	676	7	-	-	PUNCT
ejpam-6693	676	8	jm	jm	NOUN
ejpam-6693	676	9	)	)	PUNCT
ejpam-6693	676	10	,	,	PUNCT
ejpam-6693	676	11	21(1):04–29	21(1):04–29	NUM
ejpam-6693	676	12	,	,	PUNCT
ejpam-6693	676	13	2025	2025	NUM
ejpam-6693	676	14	.	.	PUNCT
ejpam-6693	677	1	[	[	X
ejpam-6693	677	2	55	55	NUM
ejpam-6693	677	3	]	]	X
ejpam-6693	677	4	imed	imed	PROPN
ejpam-6693	677	5	basdouri	basdouri	PROPN
ejpam-6693	677	6	,	,	PUNCT
ejpam-6693	677	7	souad	souad	ADJ
ejpam-6693	677	8	kasmi	kasmi	PROPN
ejpam-6693	677	9	,	,	PUNCT
ejpam-6693	677	10	fahmi	fahmi	PROPN
ejpam-6693	677	11	mabrouk	mabrouk	PROPN
ejpam-6693	677	12	,	,	PUNCT
ejpam-6693	677	13	and	and	CCONJ
ejpam-6693	677	14	rim	rim	PROPN
ejpam-6693	677	15	messaoud	messaoud	NOUN
ejpam-6693	677	16	.	.	PUNCT
ejpam-6693	678	1	lyapunov	lyapunov	ADJ
ejpam-6693	678	2	stability	stability	NOUN
ejpam-6693	678	3	analysis	analysis	NOUN
ejpam-6693	678	4	of	of	ADP
ejpam-6693	678	5	caputo	caputo	PROPN
ejpam-6693	678	6	fractional	fractional	ADJ
ejpam-6693	678	7	-	-	PUNCT
ejpam-6693	678	8	order	order	NOUN
ejpam-6693	678	9	nonlinear	nonlinear	ADJ
ejpam-6693	678	10	systems	system	NOUN
ejpam-6693	678	11	.	.	PUNCT
ejpam-6693	679	1	authorea	authorea	PROPN
ejpam-6693	679	2	preprints	preprint	NOUN
ejpam-6693	679	3	,	,	PUNCT
ejpam-6693	679	4	2020	2020	NUM
ejpam-6693	679	5	.	.	PUNCT
ejpam-6693	680	1	[	[	X
ejpam-6693	680	2	56	56	NUM
ejpam-6693	680	3	]	]	PUNCT
ejpam-6693	680	4	aytac	aytac	PROPN
ejpam-6693	680	5	arikoglu	arikoglu	NOUN
ejpam-6693	680	6	and	and	CCONJ
ejpam-6693	680	7	ibrahim	ibrahim	PROPN
ejpam-6693	680	8	ozkol	ozkol	PROPN
ejpam-6693	680	9	.	.	PUNCT
ejpam-6693	681	1	solution	solution	NOUN
ejpam-6693	681	2	of	of	ADP
ejpam-6693	681	3	fractional	fractional	ADJ
ejpam-6693	681	4	differential	differential	ADJ
ejpam-6693	681	5	equations	equation	NOUN
ejpam-6693	681	6	by	by	ADP
ejpam-6693	681	7	using	use	VERB
ejpam-6693	681	8	differential	differential	ADJ
ejpam-6693	681	9	transform	transform	NOUN
ejpam-6693	681	10	method	method	NOUN
ejpam-6693	681	11	.	.	PUNCT
ejpam-6693	682	1	chaos	chaos	NOUN
ejpam-6693	682	2	,	,	PUNCT
ejpam-6693	682	3	solitons	soliton	NOUN
ejpam-6693	682	4	&	&	CCONJ
ejpam-6693	682	5	fractals	fractal	NOUN
ejpam-6693	682	6	,	,	PUNCT
ejpam-6693	682	7	34(5):1473–1481	34(5):1473–1481	NUM
ejpam-6693	682	8	,	,	PUNCT
ejpam-6693	682	9	2007	2007	NUM
ejpam-6693	682	10	.	.	PUNCT