id	sid	tid	token	lemma	pos
ejpam-6355	1	1	european	european	PROPN
ejpam-6355	1	2	journal	journal	PROPN
ejpam-6355	1	3	of	of	ADP
ejpam-6355	1	4	pure	pure	ADJ
ejpam-6355	1	5	and	and	CCONJ
ejpam-6355	1	6	applied	applied	ADJ
ejpam-6355	1	7	mathematics	mathematic	NOUN
ejpam-6355	1	8	2025	2025	NUM
ejpam-6355	1	9	,	,	PUNCT
ejpam-6355	1	10	vol	vol	NOUN
ejpam-6355	1	11	.	.	PROPN
ejpam-6355	1	12	18	18	NUM
ejpam-6355	1	13	,	,	PUNCT
ejpam-6355	1	14	issue	issue	NOUN
ejpam-6355	1	15	3	3	NUM
ejpam-6355	1	16	,	,	PUNCT
ejpam-6355	1	17	article	article	NOUN
ejpam-6355	1	18	number	number	NOUN
ejpam-6355	1	19	6355	6355	NUM
ejpam-6355	1	20	issn	issn	VERB
ejpam-6355	1	21	1307	1307	NUM
ejpam-6355	1	22	-	-	SYM
ejpam-6355	1	23	5543	5543	NUM
ejpam-6355	1	24	–	–	PUNCT
ejpam-6355	1	25	ejpam.com	ejpam.com	X
ejpam-6355	1	26	published	publish	VERB
ejpam-6355	1	27	by	by	ADP
ejpam-6355	1	28	new	new	PROPN
ejpam-6355	1	29	york	york	PROPN
ejpam-6355	1	30	business	business	PROPN
ejpam-6355	1	31	global	global	ADJ
ejpam-6355	1	32	theoretical	theoretical	ADJ
ejpam-6355	1	33	and	and	CCONJ
ejpam-6355	1	34	computational	computational	ADJ
ejpam-6355	1	35	analysis	analysis	NOUN
ejpam-6355	1	36	of	of	ADP
ejpam-6355	1	37	delay	delay	PROPN
ejpam-6355	1	38	volterra	volterra	PROPN
ejpam-6355	1	39	integro	integro	PROPN
ejpam-6355	1	40	-	-	PUNCT
ejpam-6355	1	41	differential	differential	NOUN
ejpam-6355	1	42	equations	equation	NOUN
ejpam-6355	1	43	via	via	ADP
ejpam-6355	1	44	laplace	laplace	NOUN
ejpam-6355	1	45	transform	transform	NOUN
ejpam-6355	1	46	and	and	CCONJ
ejpam-6355	1	47	numerical	numerical	ADJ
ejpam-6355	1	48	inversion	inversion	NOUN
ejpam-6355	1	49	kamran1,∗	kamran1,∗	NOUN
ejpam-6355	1	50	,	,	PUNCT
ejpam-6355	1	51	nadeem	nadeem	PROPN
ejpam-6355	1	52	jan2	jan2	PROPN
ejpam-6355	1	53	,	,	PUNCT
ejpam-6355	1	54	muhammad	muhammad	PROPN
ejpam-6355	1	55	ishfaq	ishfaq	PROPN
ejpam-6355	1	56	khan3	khan3	PROPN
ejpam-6355	1	57	,	,	PUNCT
ejpam-6355	1	58	ahmad	ahmad	PROPN
ejpam-6355	1	59	aloqaily4	aloqaily4	PROPN
ejpam-6355	1	60	,	,	PUNCT
ejpam-6355	1	61	nabil	nabil	PROPN
ejpam-6355	1	62	mlaiki4	mlaiki4	PROPN
ejpam-6355	1	63	,	,	PUNCT
ejpam-6355	1	64	fady	fady	ADJ
ejpam-6355	1	65	hasan4	hasan4	PROPN
ejpam-6355	1	66	1	1	NUM
ejpam-6355	1	67	department	department	NOUN
ejpam-6355	1	68	of	of	ADP
ejpam-6355	1	69	mathematics	mathematics	PROPN
ejpam-6355	1	70	,	,	PUNCT
ejpam-6355	1	71	islamia	islamia	PROPN
ejpam-6355	1	72	college	college	PROPN
ejpam-6355	1	73	peshawar	peshawar	PROPN
ejpam-6355	1	74	,	,	PUNCT
ejpam-6355	1	75	peshawar	peshawar	PROPN
ejpam-6355	1	76	25120	25120	NUM
ejpam-6355	1	77	,	,	PUNCT
ejpam-6355	1	78	khyber	khyber	PROPN
ejpam-6355	1	79	pakhtoonkhwa	pakhtoonkhwa	PROPN
ejpam-6355	1	80	,	,	PUNCT
ejpam-6355	1	81	pakistan	pakistan	PROPN
ejpam-6355	1	82	2	2	NUM
ejpam-6355	1	83	department	department	NOUN
ejpam-6355	1	84	of	of	ADP
ejpam-6355	1	85	natural	natural	ADJ
ejpam-6355	1	86	sciences	science	NOUN
ejpam-6355	1	87	and	and	CCONJ
ejpam-6355	1	88	humanities	humanity	NOUN
ejpam-6355	1	89	,	,	PUNCT
ejpam-6355	1	90	university	university	NOUN
ejpam-6355	1	91	of	of	ADP
ejpam-6355	1	92	engineering	engineering	PROPN
ejpam-6355	1	93	&	&	CCONJ
ejpam-6355	1	94	technology	technology	PROPN
ejpam-6355	1	95	mardan	mardan	PROPN
ejpam-6355	1	96	,	,	PUNCT
ejpam-6355	1	97	mardan	mardan	PROPN
ejpam-6355	1	98	,	,	PUNCT
ejpam-6355	1	99	pakistan	pakistan	PROPN
ejpam-6355	1	100	3	3	NUM
ejpam-6355	1	101	college	college	NOUN
ejpam-6355	1	102	of	of	ADP
ejpam-6355	1	103	mechanics	mechanic	NOUN
ejpam-6355	1	104	and	and	CCONJ
ejpam-6355	1	105	engineering	engineering	NOUN
ejpam-6355	1	106	science	science	NOUN
ejpam-6355	1	107	,	,	PUNCT
ejpam-6355	1	108	hohai	hohai	PROPN
ejpam-6355	1	109	university	university	PROPN
ejpam-6355	1	110	,	,	PUNCT
ejpam-6355	1	111	nanjing	nanjing	PROPN
ejpam-6355	1	112	211100	211100	NUM
ejpam-6355	1	113	,	,	PUNCT
ejpam-6355	1	114	china	china	PROPN
ejpam-6355	1	115	4	4	NUM
ejpam-6355	1	116	department	department	NOUN
ejpam-6355	1	117	of	of	ADP
ejpam-6355	1	118	mathematics	mathematic	NOUN
ejpam-6355	1	119	and	and	CCONJ
ejpam-6355	1	120	sciences	science	NOUN
ejpam-6355	1	121	,	,	PUNCT
ejpam-6355	1	122	prince	prince	PROPN
ejpam-6355	1	123	sultan	sultan	PROPN
ejpam-6355	1	124	university	university	PROPN
ejpam-6355	1	125	,	,	PUNCT
ejpam-6355	1	126	11586	11586	NUM
ejpam-6355	1	127	riyadh	riyadh	NOUN
ejpam-6355	1	128	,	,	PUNCT
ejpam-6355	1	129	saudi	saudi	PROPN
ejpam-6355	1	130	arabia	arabia	PROPN
ejpam-6355	1	131	abstract	abstract	NOUN
ejpam-6355	1	132	.	.	PUNCT
ejpam-6355	2	1	delay	delay	PROPN
ejpam-6355	2	2	integro	integro	ADJ
ejpam-6355	2	3	-	-	PUNCT
ejpam-6355	2	4	differential	differential	NOUN
ejpam-6355	2	5	equations	equation	NOUN
ejpam-6355	2	6	(	(	PUNCT
ejpam-6355	2	7	dides	dides	PROPN
ejpam-6355	2	8	)	)	PUNCT
ejpam-6355	2	9	represent	represent	VERB
ejpam-6355	2	10	a	a	DET
ejpam-6355	2	11	significant	significant	ADJ
ejpam-6355	2	12	class	class	NOUN
ejpam-6355	2	13	of	of	ADP
ejpam-6355	2	14	integrodifferential	integrodifferential	ADJ
ejpam-6355	2	15	equations	equation	NOUN
ejpam-6355	2	16	where	where	SCONJ
ejpam-6355	2	17	state	state	NOUN
ejpam-6355	2	18	evolution	evolution	NOUN
ejpam-6355	2	19	depends	depend	VERB
ejpam-6355	2	20	on	on	ADP
ejpam-6355	2	21	its	its	PRON
ejpam-6355	2	22	past	past	ADJ
ejpam-6355	2	23	history	history	NOUN
ejpam-6355	2	24	.	.	PUNCT
ejpam-6355	3	1	this	this	DET
ejpam-6355	3	2	paper	paper	NOUN
ejpam-6355	3	3	presents	present	VERB
ejpam-6355	3	4	a	a	DET
ejpam-6355	3	5	numerical	numerical	ADJ
ejpam-6355	3	6	approach	approach	NOUN
ejpam-6355	3	7	for	for	ADP
ejpam-6355	3	8	delay	delay	NOUN
ejpam-6355	3	9	integro	integro	ADJ
ejpam-6355	3	10	-	-	PUNCT
ejpam-6355	3	11	differential	differential	NOUN
ejpam-6355	3	12	equations	equation	NOUN
ejpam-6355	3	13	(	(	PUNCT
ejpam-6355	3	14	dides	dides	PROPN
ejpam-6355	3	15	)	)	PUNCT
ejpam-6355	3	16	,	,	PUNCT
ejpam-6355	3	17	utilizing	utilize	VERB
ejpam-6355	3	18	the	the	DET
ejpam-6355	3	19	laplace	laplace	NOUN
ejpam-6355	3	20	transform	transform	NOUN
ejpam-6355	3	21	(	(	PUNCT
ejpam-6355	3	22	lt	lt	NOUN
ejpam-6355	3	23	)	)	PUNCT
ejpam-6355	3	24	and	and	CCONJ
ejpam-6355	3	25	its	its	PRON
ejpam-6355	3	26	inversion	inversion	NOUN
ejpam-6355	3	27	as	as	ADP
ejpam-6355	3	28	the	the	DET
ejpam-6355	3	29	core	core	NOUN
ejpam-6355	3	30	methodology	methodology	NOUN
ejpam-6355	3	31	.	.	PUNCT
ejpam-6355	4	1	using	use	VERB
ejpam-6355	4	2	the	the	DET
ejpam-6355	4	3	lt	lt	NOUN
ejpam-6355	4	4	,	,	PUNCT
ejpam-6355	4	5	the	the	DET
ejpam-6355	4	6	proposed	propose	VERB
ejpam-6355	4	7	technique	technique	NOUN
ejpam-6355	4	8	begins	begin	VERB
ejpam-6355	4	9	by	by	ADP
ejpam-6355	4	10	transforming	transform	VERB
ejpam-6355	4	11	the	the	DET
ejpam-6355	4	12	given	give	VERB
ejpam-6355	4	13	equation	equation	NOUN
ejpam-6355	4	14	into	into	ADP
ejpam-6355	4	15	an	an	DET
ejpam-6355	4	16	algebraic	algebraic	ADJ
ejpam-6355	4	17	equation	equation	NOUN
ejpam-6355	4	18	in	in	ADP
ejpam-6355	4	19	the	the	DET
ejpam-6355	4	20	laplace	laplace	NOUN
ejpam-6355	4	21	domain	domain	NOUN
ejpam-6355	4	22	.	.	PUNCT
ejpam-6355	5	1	the	the	DET
ejpam-6355	5	2	resulting	result	VERB
ejpam-6355	5	3	transformed	transform	VERB
ejpam-6355	5	4	equation	equation	NOUN
ejpam-6355	5	5	is	be	AUX
ejpam-6355	5	6	subsequently	subsequently	ADV
ejpam-6355	5	7	solved	solve	VERB
ejpam-6355	5	8	for	for	ADP
ejpam-6355	5	9	the	the	DET
ejpam-6355	5	10	unknown	unknown	ADJ
ejpam-6355	5	11	function	function	NOUN
ejpam-6355	5	12	within	within	ADP
ejpam-6355	5	13	the	the	DET
ejpam-6355	5	14	laplace	laplace	NOUN
ejpam-6355	5	15	domain	domain	NOUN
ejpam-6355	5	16	.	.	PUNCT
ejpam-6355	6	1	finally	finally	ADV
ejpam-6355	6	2	,	,	PUNCT
ejpam-6355	6	3	two	two	NUM
ejpam-6355	6	4	inversion	inversion	NOUN
ejpam-6355	6	5	methods	method	NOUN
ejpam-6355	6	6	,	,	PUNCT
ejpam-6355	6	7	the	the	DET
ejpam-6355	6	8	gauss	gauss	ADJ
ejpam-6355	6	9	-	-	PUNCT
ejpam-6355	6	10	hermite	hermite	ADJ
ejpam-6355	6	11	quadrature	quadrature	NOUN
ejpam-6355	6	12	and	and	CCONJ
ejpam-6355	6	13	the	the	DET
ejpam-6355	6	14	weeks	week	NOUN
ejpam-6355	6	15	method	method	NOUN
ejpam-6355	6	16	,	,	PUNCT
ejpam-6355	6	17	are	be	AUX
ejpam-6355	6	18	used	use	VERB
ejpam-6355	6	19	to	to	PART
ejpam-6355	6	20	invert	invert	VERB
ejpam-6355	6	21	the	the	DET
ejpam-6355	6	22	solution	solution	NOUN
ejpam-6355	6	23	back	back	ADV
ejpam-6355	6	24	to	to	ADP
ejpam-6355	6	25	the	the	DET
ejpam-6355	6	26	time	time	NOUN
ejpam-6355	6	27	domain	domain	NOUN
ejpam-6355	6	28	.	.	PUNCT
ejpam-6355	7	1	additionally	additionally	ADV
ejpam-6355	7	2	,	,	PUNCT
ejpam-6355	7	3	the	the	DET
ejpam-6355	7	4	existence	existence	NOUN
ejpam-6355	7	5	and	and	CCONJ
ejpam-6355	7	6	uniqueness	uniqueness	NOUN
ejpam-6355	7	7	of	of	ADP
ejpam-6355	7	8	the	the	DET
ejpam-6355	7	9	solution	solution	NOUN
ejpam-6355	7	10	are	be	AUX
ejpam-6355	7	11	rigorously	rigorously	ADV
ejpam-6355	7	12	analyzed	analyze	VERB
ejpam-6355	7	13	using	use	VERB
ejpam-6355	7	14	functional	functional	ADJ
ejpam-6355	7	15	analysis	analysis	NOUN
ejpam-6355	7	16	.	.	PUNCT
ejpam-6355	8	1	to	to	PART
ejpam-6355	8	2	demonstrate	demonstrate	VERB
ejpam-6355	8	3	the	the	DET
ejpam-6355	8	4	effectiveness	effectiveness	NOUN
ejpam-6355	8	5	of	of	ADP
ejpam-6355	8	6	the	the	DET
ejpam-6355	8	7	methods	method	NOUN
ejpam-6355	8	8	,	,	PUNCT
ejpam-6355	8	9	several	several	ADJ
ejpam-6355	8	10	examples	example	NOUN
ejpam-6355	8	11	from	from	ADP
ejpam-6355	8	12	the	the	DET
ejpam-6355	8	13	literature	literature	NOUN
ejpam-6355	8	14	are	be	AUX
ejpam-6355	8	15	provided	provide	VERB
ejpam-6355	8	16	.	.	PUNCT
ejpam-6355	9	1	the	the	DET
ejpam-6355	9	2	results	result	NOUN
ejpam-6355	9	3	obtained	obtain	VERB
ejpam-6355	9	4	using	use	VERB
ejpam-6355	9	5	the	the	DET
ejpam-6355	9	6	two	two	NUM
ejpam-6355	9	7	techniques	technique	NOUN
ejpam-6355	9	8	are	be	AUX
ejpam-6355	9	9	compared	compare	VERB
ejpam-6355	9	10	and	and	CCONJ
ejpam-6355	9	11	analyzed	analyze	VERB
ejpam-6355	9	12	through	through	ADP
ejpam-6355	9	13	tables	table	NOUN
ejpam-6355	9	14	and	and	CCONJ
ejpam-6355	9	15	figures	figure	NOUN
ejpam-6355	9	16	,	,	PUNCT
ejpam-6355	9	17	highlighting	highlight	VERB
ejpam-6355	9	18	their	their	PRON
ejpam-6355	9	19	accuracy	accuracy	NOUN
ejpam-6355	9	20	and	and	CCONJ
ejpam-6355	9	21	computational	computational	ADJ
ejpam-6355	9	22	efficiency	efficiency	NOUN
ejpam-6355	9	23	.	.	PUNCT
ejpam-6355	10	1	2020	2020	NUM
ejpam-6355	10	2	mathematics	mathematic	NOUN
ejpam-6355	10	3	subject	subject	NOUN
ejpam-6355	10	4	classifications	classification	NOUN
ejpam-6355	10	5	:	:	PUNCT
ejpam-6355	10	6	44a10	44a10	NUM
ejpam-6355	10	7	,	,	PUNCT
ejpam-6355	10	8	65rxx	65rxx	ADJ
ejpam-6355	10	9	,	,	PUNCT
ejpam-6355	10	10	65r10	65r10	NUM
ejpam-6355	10	11	key	key	ADJ
ejpam-6355	10	12	words	word	NOUN
ejpam-6355	10	13	and	and	CCONJ
ejpam-6355	10	14	phrases	phrase	NOUN
ejpam-6355	10	15	:	:	PUNCT
ejpam-6355	10	16	delay	delay	VERB
ejpam-6355	10	17	integro	integro	ADJ
ejpam-6355	10	18	-	-	PUNCT
ejpam-6355	10	19	differential	differential	NOUN
ejpam-6355	10	20	equation	equation	NOUN
ejpam-6355	10	21	,	,	PUNCT
ejpam-6355	10	22	laplace	laplace	NOUN
ejpam-6355	10	23	transform	transform	NOUN
ejpam-6355	10	24	,	,	PUNCT
ejpam-6355	10	25	existence	existence	NOUN
ejpam-6355	10	26	,	,	PUNCT
ejpam-6355	10	27	uniqueness	uniqueness	NOUN
ejpam-6355	10	28	,	,	PUNCT
ejpam-6355	10	29	gauss	gauss	ADJ
ejpam-6355	10	30	-	-	PUNCT
ejpam-6355	10	31	hermite	hermite	ADJ
ejpam-6355	10	32	quadrature	quadrature	NOUN
ejpam-6355	10	33	method	method	NOUN
ejpam-6355	10	34	,	,	PUNCT
ejpam-6355	10	35	weeks	week	NOUN
ejpam-6355	10	36	method	method	NOUN
ejpam-6355	10	37	.	.	PUNCT
ejpam-6355	11	1	∗corresponding	∗corresponde	VERB
ejpam-6355	11	2	author	author	NOUN
ejpam-6355	11	3	.	.	PUNCT
ejpam-6355	12	1	doi	doi	NOUN
ejpam-6355	12	2	:	:	PUNCT
ejpam-6355	12	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6355	https://doi.org/10.29020/nybg.ejpam.v18i3.6355	PROPN
ejpam-6355	12	4	email	email	NOUN
ejpam-6355	12	5	addresses	address	NOUN
ejpam-6355	12	6	:	:	PUNCT
ejpam-6355	12	7	kamran.maths@icp.edu.pk	kamran.maths@icp.edu.pk	PROPN
ejpam-6355	12	8	(	(	PUNCT
ejpam-6355	12	9	kamran	kamran	PROPN
ejpam-6355	12	10	)	)	PUNCT
ejpam-6355	12	11	,	,	PUNCT
ejpam-6355	12	12	maloqaily@psu.edu.sa	maloqaily@psu.edu.sa	PROPN
ejpam-6355	12	13	(	(	PUNCT
ejpam-6355	12	14	a.	a.	NOUN
ejpam-6355	12	15	aloqaily	aloqaily	ADV
ejpam-6355	12	16	)	)	PUNCT
ejpam-6355	12	17	,	,	PUNCT
ejpam-6355	12	18	nmlaiki@psu.edu.sa	nmlaiki@psu.edu.sa	NOUN
ejpam-6355	12	19	(	(	PUNCT
ejpam-6355	12	20	n.	n.	PROPN
ejpam-6355	12	21	mlaiki	mlaiki	PROPN
ejpam-6355	12	22	)	)	PUNCT
ejpam-6355	12	23	,	,	PUNCT
ejpam-6355	12	24	fhasan@psu.edu.sa	fhasan@psu.edu.sa	PROPN
ejpam-6355	12	25	(	(	PUNCT
ejpam-6355	12	26	f.	f.	PROPN
ejpam-6355	12	27	hasan	hasan	PROPN
ejpam-6355	12	28	)	)	PUNCT
ejpam-6355	12	29	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6355	13	1	1	1	NUM
ejpam-6355	13	2	copyright	copyright	NOUN
ejpam-6355	13	3	:	:	PUNCT
ejpam-6355	13	4	©	©	PROPN
ejpam-6355	13	5	2025	2025	NUM
ejpam-6355	13	6	the	the	DET
ejpam-6355	13	7	author(s	author(s	NOUN
ejpam-6355	13	8	)	)	PUNCT
ejpam-6355	13	9	.	.	PUNCT
ejpam-6355	14	1	(	(	PUNCT
ejpam-6355	14	2	cc	cc	NOUN
ejpam-6355	14	3	by	by	ADP
ejpam-6355	14	4	-	-	PUNCT
ejpam-6355	14	5	nc	nc	PROPN
ejpam-6355	14	6	4.0	4.0	NUM
ejpam-6355	14	7	)	)	PUNCT
ejpam-6355	14	8	kamran	kamran	PROPN
ejpam-6355	14	9	et	et	PROPN
ejpam-6355	14	10	al	al	PROPN
ejpam-6355	14	11	.	.	PUNCT
ejpam-6355	14	12	/	/	SYM
ejpam-6355	14	13	eur	eur	PROPN
ejpam-6355	14	14	.	.	PUNCT
ejpam-6355	15	1	j.	j.	PROPN
ejpam-6355	15	2	pure	pure	PROPN
ejpam-6355	15	3	appl	appl	PROPN
ejpam-6355	15	4	.	.	PROPN
ejpam-6355	15	5	math	math	PROPN
ejpam-6355	15	6	,	,	PUNCT
ejpam-6355	15	7	18	18	NUM
ejpam-6355	15	8	(	(	PUNCT
ejpam-6355	15	9	3	3	NUM
ejpam-6355	15	10	)	)	PUNCT
ejpam-6355	15	11	(	(	PUNCT
ejpam-6355	15	12	2025	2025	NUM
ejpam-6355	15	13	)	)	PUNCT
ejpam-6355	15	14	,	,	PUNCT
ejpam-6355	15	15	6355	6355	NUM
ejpam-6355	15	16	2	2	NUM
ejpam-6355	15	17	of	of	ADP
ejpam-6355	15	18	22	22	NUM
ejpam-6355	15	19	1	1	NUM
ejpam-6355	15	20	.	.	PUNCT
ejpam-6355	16	1	introduction	introduction	NOUN
ejpam-6355	16	2	delay	delay	PROPN
ejpam-6355	16	3	volterra	volterra	PROPN
ejpam-6355	16	4	integro	integro	PROPN
ejpam-6355	16	5	-	-	PUNCT
ejpam-6355	16	6	differential	differential	NOUN
ejpam-6355	16	7	equations	equation	NOUN
ejpam-6355	16	8	(	(	PUNCT
ejpam-6355	16	9	dvides	dvide	NOUN
ejpam-6355	16	10	)	)	PUNCT
ejpam-6355	16	11	represent	represent	VERB
ejpam-6355	16	12	an	an	DET
ejpam-6355	16	13	important	important	ADJ
ejpam-6355	16	14	class	class	NOUN
ejpam-6355	16	15	of	of	ADP
ejpam-6355	16	16	functional	functional	ADJ
ejpam-6355	16	17	equations	equation	NOUN
ejpam-6355	16	18	that	that	PRON
ejpam-6355	16	19	combines	combine	VERB
ejpam-6355	16	20	the	the	DET
ejpam-6355	16	21	complexities	complexity	NOUN
ejpam-6355	16	22	of	of	ADP
ejpam-6355	16	23	neutral	neutral	ADJ
ejpam-6355	16	24	delay	delay	NOUN
ejpam-6355	16	25	differential	differential	ADJ
ejpam-6355	16	26	equations	equation	NOUN
ejpam-6355	16	27	(	(	PUNCT
ejpam-6355	16	28	nddes	ndde	NOUN
ejpam-6355	16	29	)	)	PUNCT
ejpam-6355	16	30	with	with	ADP
ejpam-6355	16	31	volterra	volterra	PROPN
ejpam-6355	16	32	integro	integro	PROPN
ejpam-6355	16	33	-	-	PUNCT
ejpam-6355	16	34	differential	differential	ADJ
ejpam-6355	16	35	(	(	PUNCT
ejpam-6355	16	36	vid	vid	NOUN
ejpam-6355	16	37	)	)	PUNCT
ejpam-6355	16	38	systems	system	NOUN
ejpam-6355	16	39	.	.	PUNCT
ejpam-6355	17	1	these	these	DET
ejpam-6355	17	2	equations	equation	NOUN
ejpam-6355	17	3	are	be	AUX
ejpam-6355	17	4	distinguished	distinguish	VERB
ejpam-6355	17	5	by	by	ADP
ejpam-6355	17	6	the	the	DET
ejpam-6355	17	7	integral	integral	ADJ
ejpam-6355	17	8	terms	term	NOUN
ejpam-6355	17	9	that	that	PRON
ejpam-6355	17	10	describe	describe	VERB
ejpam-6355	17	11	the	the	DET
ejpam-6355	17	12	cumulative	cumulative	ADJ
ejpam-6355	17	13	effects	effect	NOUN
ejpam-6355	17	14	of	of	ADP
ejpam-6355	17	15	prior	prior	ADJ
ejpam-6355	17	16	states	state	NOUN
ejpam-6355	17	17	and	and	CCONJ
ejpam-6355	17	18	discrete	discrete	VERB
ejpam-6355	17	19	and	and	CCONJ
ejpam-6355	17	20	distributed	distribute	VERB
ejpam-6355	17	21	delays	delay	NOUN
ejpam-6355	17	22	in	in	ADP
ejpam-6355	17	23	the	the	DET
ejpam-6355	17	24	dependent	dependent	ADJ
ejpam-6355	17	25	variables	variable	NOUN
ejpam-6355	17	26	and	and	CCONJ
ejpam-6355	17	27	their	their	PRON
ejpam-6355	17	28	derivatives	derivative	NOUN
ejpam-6355	17	29	,	,	PUNCT
ejpam-6355	17	30	so	so	ADV
ejpam-6355	17	31	representing	represent	VERB
ejpam-6355	17	32	systems	system	NOUN
ejpam-6355	17	33	with	with	ADP
ejpam-6355	17	34	memory	memory	NOUN
ejpam-6355	17	35	and	and	CCONJ
ejpam-6355	17	36	latency	latency	NOUN
ejpam-6355	17	37	.	.	PUNCT
ejpam-6355	18	1	dvides	dvide	NOUN
ejpam-6355	18	2	have	have	AUX
ejpam-6355	18	3	become	become	VERB
ejpam-6355	18	4	important	important	ADJ
ejpam-6355	18	5	in	in	ADP
ejpam-6355	18	6	recent	recent	ADJ
ejpam-6355	18	7	research	research	NOUN
ejpam-6355	18	8	fields	field	NOUN
ejpam-6355	18	9	such	such	ADJ
ejpam-6355	18	10	as	as	ADP
ejpam-6355	18	11	mathematical	mathematical	ADJ
ejpam-6355	18	12	biology	biology	NOUN
ejpam-6355	18	13	[	[	X
ejpam-6355	18	14	1	1	NUM
ejpam-6355	18	15	]	]	PUNCT
ejpam-6355	18	16	,	,	PUNCT
ejpam-6355	18	17	engineering	engineer	VERB
ejpam-6355	18	18	[	[	X
ejpam-6355	18	19	2	2	NUM
ejpam-6355	18	20	]	]	PUNCT
ejpam-6355	18	21	,	,	PUNCT
ejpam-6355	18	22	physics	physic	NOUN
ejpam-6355	19	1	[	[	X
ejpam-6355	19	2	3	3	NUM
ejpam-6355	19	3	]	]	PUNCT
ejpam-6355	19	4	,	,	PUNCT
ejpam-6355	19	5	and	and	CCONJ
ejpam-6355	19	6	economics	economic	NOUN
ejpam-6355	20	1	[	[	X
ejpam-6355	20	2	4	4	NUM
ejpam-6355	20	3	]	]	PUNCT
ejpam-6355	20	4	,	,	PUNCT
ejpam-6355	20	5	where	where	SCONJ
ejpam-6355	20	6	dynamic	dynamic	ADJ
ejpam-6355	20	7	systems	system	NOUN
ejpam-6355	20	8	exhibit	exhibit	VERB
ejpam-6355	20	9	temporal	temporal	ADJ
ejpam-6355	20	10	nonlocality	nonlocality	NOUN
ejpam-6355	20	11	and	and	CCONJ
ejpam-6355	20	12	memory	memory	NOUN
ejpam-6355	20	13	effects	effect	NOUN
ejpam-6355	20	14	due	due	ADJ
ejpam-6355	20	15	to	to	ADP
ejpam-6355	20	16	inherent	inherent	ADJ
ejpam-6355	20	17	mathematical	mathematical	ADJ
ejpam-6355	20	18	or	or	CCONJ
ejpam-6355	20	19	physical	physical	ADJ
ejpam-6355	20	20	constraints	constraint	NOUN
ejpam-6355	20	21	.	.	PUNCT
ejpam-6355	21	1	for	for	ADP
ejpam-6355	21	2	example	example	NOUN
ejpam-6355	21	3	,	,	PUNCT
ejpam-6355	21	4	in	in	ADP
ejpam-6355	21	5	biological	biological	ADJ
ejpam-6355	21	6	models	model	NOUN
ejpam-6355	21	7	,	,	PUNCT
ejpam-6355	21	8	dvides	dvide	NOUN
ejpam-6355	21	9	are	be	AUX
ejpam-6355	21	10	used	use	VERB
ejpam-6355	21	11	to	to	PART
ejpam-6355	21	12	simulate	simulate	VERB
ejpam-6355	21	13	epidemic	epidemic	NOUN
ejpam-6355	21	14	spread	spread	VERB
ejpam-6355	21	15	with	with	ADP
ejpam-6355	21	16	incubation	incubation	NOUN
ejpam-6355	21	17	times	time	NOUN
ejpam-6355	21	18	,	,	PUNCT
ejpam-6355	21	19	population	population	NOUN
ejpam-6355	21	20	dynamics	dynamic	NOUN
ejpam-6355	21	21	with	with	ADP
ejpam-6355	21	22	gestational	gestational	ADJ
ejpam-6355	21	23	lags	lag	NOUN
ejpam-6355	21	24	,	,	PUNCT
ejpam-6355	21	25	and	and	CCONJ
ejpam-6355	21	26	neural	neural	ADJ
ejpam-6355	21	27	networks	network	NOUN
ejpam-6355	21	28	with	with	ADP
ejpam-6355	21	29	synaptic	synaptic	ADJ
ejpam-6355	21	30	delays	delay	NOUN
ejpam-6355	21	31	.	.	PUNCT
ejpam-6355	22	1	in	in	ADP
ejpam-6355	22	2	engineering	engineering	NOUN
ejpam-6355	22	3	and	and	CCONJ
ejpam-6355	22	4	physical	physical	ADJ
ejpam-6355	22	5	sciences	science	NOUN
ejpam-6355	22	6	,	,	PUNCT
ejpam-6355	22	7	they	they	PRON
ejpam-6355	22	8	are	be	AUX
ejpam-6355	22	9	used	use	VERB
ejpam-6355	22	10	to	to	PART
ejpam-6355	22	11	model	model	VERB
ejpam-6355	22	12	anomalous	anomalous	ADJ
ejpam-6355	22	13	diffusion	diffusion	NOUN
ejpam-6355	22	14	,	,	PUNCT
ejpam-6355	22	15	viscoelastic	viscoelastic	ADJ
ejpam-6355	22	16	materials	material	NOUN
ejpam-6355	22	17	,	,	PUNCT
ejpam-6355	22	18	and	and	CCONJ
ejpam-6355	22	19	timelag	timelag	NOUN
ejpam-6355	22	20	feedback	feedback	NOUN
ejpam-6355	22	21	control	control	NOUN
ejpam-6355	22	22	systems	system	NOUN
ejpam-6355	22	23	.	.	PUNCT
ejpam-6355	23	1	in	in	ADP
ejpam-6355	23	2	economics	economic	NOUN
ejpam-6355	23	3	,	,	PUNCT
ejpam-6355	23	4	these	these	DET
ejpam-6355	23	5	equations	equation	NOUN
ejpam-6355	23	6	assist	assist	VERB
ejpam-6355	23	7	in	in	ADP
ejpam-6355	23	8	analyzing	analyze	VERB
ejpam-6355	23	9	complex	complex	ADJ
ejpam-6355	23	10	systems	system	NOUN
ejpam-6355	23	11	with	with	ADP
ejpam-6355	23	12	delayed	delay	VERB
ejpam-6355	23	13	feedback	feedback	NOUN
ejpam-6355	23	14	loops	loop	NOUN
ejpam-6355	23	15	,	,	PUNCT
ejpam-6355	23	16	including	include	VERB
ejpam-6355	23	17	market	market	NOUN
ejpam-6355	23	18	reactions	reaction	NOUN
ejpam-6355	23	19	,	,	PUNCT
ejpam-6355	23	20	supply	supply	NOUN
ejpam-6355	23	21	chains	chain	NOUN
ejpam-6355	23	22	,	,	PUNCT
ejpam-6355	23	23	and	and	CCONJ
ejpam-6355	23	24	investment	investment	NOUN
ejpam-6355	23	25	decisions	decision	NOUN
ejpam-6355	23	26	,	,	PUNCT
ejpam-6355	23	27	establishing	establish	VERB
ejpam-6355	23	28	a	a	DET
ejpam-6355	23	29	strong	strong	ADJ
ejpam-6355	23	30	basis	basis	NOUN
ejpam-6355	23	31	to	to	PART
ejpam-6355	23	32	analyze	analyze	VERB
ejpam-6355	23	33	non	non	ADJ
ejpam-6355	23	34	-	-	ADJ
ejpam-6355	23	35	instantaneous	instantaneous	ADJ
ejpam-6355	23	36	causality	causality	NOUN
ejpam-6355	23	37	in	in	ADP
ejpam-6355	23	38	changing	change	VERB
ejpam-6355	23	39	situations	situation	NOUN
ejpam-6355	23	40	.	.	PUNCT
ejpam-6355	24	1	the	the	DET
ejpam-6355	24	2	numerical	numerical	ADJ
ejpam-6355	24	3	analysis	analysis	NOUN
ejpam-6355	24	4	of	of	ADP
ejpam-6355	24	5	solutions	solution	NOUN
ejpam-6355	24	6	to	to	ADP
ejpam-6355	24	7	dvides	dvide	NOUN
ejpam-6355	24	8	is	be	AUX
ejpam-6355	24	9	a	a	DET
ejpam-6355	24	10	progressing	progress	VERB
ejpam-6355	24	11	topic	topic	NOUN
ejpam-6355	24	12	of	of	ADP
ejpam-6355	24	13	research	research	NOUN
ejpam-6355	24	14	.	.	PUNCT
ejpam-6355	25	1	for	for	ADP
ejpam-6355	25	2	example	example	NOUN
ejpam-6355	25	3	,	,	PUNCT
ejpam-6355	25	4	the	the	DET
ejpam-6355	25	5	authors	author	NOUN
ejpam-6355	25	6	of	of	ADP
ejpam-6355	25	7	[	[	X
ejpam-6355	25	8	5	5	NUM
ejpam-6355	25	9	]	]	PUNCT
ejpam-6355	25	10	applied	apply	VERB
ejpam-6355	25	11	the	the	DET
ejpam-6355	25	12	multi	multi	ADJ
ejpam-6355	25	13	-	-	ADJ
ejpam-6355	25	14	step	step	ADJ
ejpam-6355	25	15	adams	adams	PROPN
ejpam-6355	25	16	-	-	PUNCT
ejpam-6355	25	17	moulton	moulton	PROPN
ejpam-6355	25	18	method	method	NOUN
ejpam-6355	25	19	to	to	PART
ejpam-6355	25	20	solve	solve	VERB
ejpam-6355	25	21	the	the	DET
ejpam-6355	25	22	neutral	neutral	ADJ
ejpam-6355	25	23	dvides	dvide	NOUN
ejpam-6355	25	24	.	.	PUNCT
ejpam-6355	26	1	mansouri	mansouri	PROPN
ejpam-6355	26	2	and	and	CCONJ
ejpam-6355	26	3	azimzadeh	azimzadeh	PROPN
ejpam-6355	27	1	[	[	X
ejpam-6355	27	2	6	6	X
ejpam-6355	27	3	]	]	PUNCT
ejpam-6355	27	4	used	use	VERB
ejpam-6355	27	5	the	the	DET
ejpam-6355	27	6	bernstein	bernstein	PROPN
ejpam-6355	27	7	polynomial	polynomial	PROPN
ejpam-6355	27	8	approach	approach	NOUN
ejpam-6355	27	9	to	to	PART
ejpam-6355	27	10	solve	solve	VERB
ejpam-6355	27	11	the	the	DET
ejpam-6355	27	12	dvides	dvide	NOUN
ejpam-6355	27	13	by	by	ADP
ejpam-6355	27	14	transforming	transform	VERB
ejpam-6355	27	15	the	the	DET
ejpam-6355	27	16	delay	delay	NOUN
ejpam-6355	27	17	terms	term	NOUN
ejpam-6355	27	18	and	and	CCONJ
ejpam-6355	27	19	the	the	DET
ejpam-6355	27	20	integral	integral	ADJ
ejpam-6355	27	21	components	component	NOUN
ejpam-6355	27	22	into	into	ADP
ejpam-6355	27	23	a	a	DET
ejpam-6355	27	24	polynomial	polynomial	ADJ
ejpam-6355	27	25	framework	framework	NOUN
ejpam-6355	27	26	.	.	PUNCT
ejpam-6355	28	1	in	in	ADP
ejpam-6355	28	2	[	[	X
ejpam-6355	28	3	7	7	NUM
ejpam-6355	28	4	]	]	PUNCT
ejpam-6355	28	5	,	,	PUNCT
ejpam-6355	28	6	the	the	DET
ejpam-6355	28	7	authors	author	NOUN
ejpam-6355	28	8	have	have	AUX
ejpam-6355	28	9	explored	explore	VERB
ejpam-6355	28	10	the	the	DET
ejpam-6355	28	11	explicit	explicit	ADJ
ejpam-6355	28	12	and	and	CCONJ
ejpam-6355	28	13	implicit	implicit	ADJ
ejpam-6355	28	14	rungekutta	rungekutta	NOUN
ejpam-6355	28	15	methods	method	NOUN
ejpam-6355	28	16	for	for	ADP
ejpam-6355	28	17	solving	solve	VERB
ejpam-6355	28	18	the	the	DET
ejpam-6355	28	19	neutral	neutral	ADJ
ejpam-6355	28	20	dvides	dvide	NOUN
ejpam-6355	28	21	.	.	PUNCT
ejpam-6355	29	1	they	they	PRON
ejpam-6355	29	2	analyzed	analyze	VERB
ejpam-6355	29	3	the	the	DET
ejpam-6355	29	4	convergence	convergence	NOUN
ejpam-6355	29	5	properties	property	NOUN
ejpam-6355	29	6	of	of	ADP
ejpam-6355	29	7	the	the	DET
ejpam-6355	29	8	scheme	scheme	NOUN
ejpam-6355	29	9	required	require	VERB
ejpam-6355	29	10	at	at	ADP
ejpam-6355	29	11	each	each	DET
ejpam-6355	29	12	step	step	NOUN
ejpam-6355	29	13	as	as	ADV
ejpam-6355	29	14	well	well	ADV
ejpam-6355	29	15	as	as	ADP
ejpam-6355	29	16	the	the	DET
ejpam-6355	29	17	overall	overall	ADJ
ejpam-6355	29	18	convergence	convergence	NOUN
ejpam-6355	29	19	of	of	ADP
ejpam-6355	29	20	the	the	DET
ejpam-6355	29	21	numerical	numerical	ADJ
ejpam-6355	29	22	scheme	scheme	NOUN
ejpam-6355	29	23	.	.	PUNCT
ejpam-6355	30	1	zaidan	zaidan	PROPN
ejpam-6355	31	1	[	[	X
ejpam-6355	31	2	8	8	NUM
ejpam-6355	31	3	]	]	PUNCT
ejpam-6355	31	4	presented	present	VERB
ejpam-6355	31	5	a	a	DET
ejpam-6355	31	6	method	method	NOUN
ejpam-6355	31	7	for	for	ADP
ejpam-6355	31	8	approximating	approximate	VERB
ejpam-6355	31	9	the	the	DET
ejpam-6355	31	10	solution	solution	NOUN
ejpam-6355	31	11	of	of	ADP
ejpam-6355	31	12	linear	linear	PROPN
ejpam-6355	31	13	vides	vide	NOUN
ejpam-6355	31	14	.	.	PUNCT
ejpam-6355	32	1	the	the	DET
ejpam-6355	32	2	suggested	suggest	VERB
ejpam-6355	32	3	approach	approach	NOUN
ejpam-6355	32	4	employs	employ	VERB
ejpam-6355	32	5	galerkin	galerkin	PROPN
ejpam-6355	32	6	’s	’s	PART
ejpam-6355	32	7	approach	approach	NOUN
ejpam-6355	32	8	,	,	PUNCT
ejpam-6355	32	9	with	with	ADP
ejpam-6355	32	10	bernstein	bernstein	PROPN
ejpam-6355	32	11	polynomials	polynomials	PROPN
ejpam-6355	32	12	as	as	ADP
ejpam-6355	32	13	the	the	DET
ejpam-6355	32	14	basis	basis	NOUN
ejpam-6355	32	15	functions	function	NOUN
ejpam-6355	32	16	.	.	PUNCT
ejpam-6355	33	1	the	the	DET
ejpam-6355	33	2	authors	author	NOUN
ejpam-6355	33	3	of	of	ADP
ejpam-6355	33	4	[	[	X
ejpam-6355	33	5	9	9	NUM
ejpam-6355	33	6	]	]	PUNCT
ejpam-6355	33	7	explored	explore	VERB
ejpam-6355	33	8	different	different	ADJ
ejpam-6355	33	9	aspects	aspect	NOUN
ejpam-6355	33	10	of	of	ADP
ejpam-6355	33	11	delay	delay	PROPN
ejpam-6355	33	12	volterra	volterra	PROPN
ejpam-6355	33	13	functional	functional	ADJ
ejpam-6355	33	14	integral	integral	ADJ
ejpam-6355	33	15	equations	equation	NOUN
ejpam-6355	33	16	,	,	PUNCT
ejpam-6355	33	17	concentrating	concentrate	VERB
ejpam-6355	33	18	on	on	ADP
ejpam-6355	33	19	the	the	DET
ejpam-6355	33	20	existence	existence	NOUN
ejpam-6355	33	21	,	,	PUNCT
ejpam-6355	33	22	uniqueness	uniqueness	NOUN
ejpam-6355	33	23	,	,	PUNCT
ejpam-6355	33	24	and	and	CCONJ
ejpam-6355	33	25	regularity	regularity	NOUN
ejpam-6355	33	26	of	of	ADP
ejpam-6355	33	27	solutions	solution	NOUN
ejpam-6355	33	28	.	.	PUNCT
ejpam-6355	34	1	brunner	brunner	NOUN
ejpam-6355	35	1	[	[	X
ejpam-6355	35	2	10	10	NUM
ejpam-6355	35	3	]	]	PUNCT
ejpam-6355	35	4	presented	present	VERB
ejpam-6355	35	5	different	different	ADJ
ejpam-6355	35	6	results	result	NOUN
ejpam-6355	35	7	on	on	ADP
ejpam-6355	35	8	the	the	DET
ejpam-6355	35	9	analysis	analysis	NOUN
ejpam-6355	35	10	of	of	ADP
ejpam-6355	35	11	local	local	ADJ
ejpam-6355	35	12	and	and	CCONJ
ejpam-6355	35	13	global	global	ADJ
ejpam-6355	35	14	super	super	ADJ
ejpam-6355	35	15	convergence	convergence	NOUN
ejpam-6355	35	16	orders	order	NOUN
ejpam-6355	35	17	in	in	ADP
ejpam-6355	35	18	collocation	collocation	NOUN
ejpam-6355	35	19	methods	method	NOUN
ejpam-6355	35	20	for	for	ADP
ejpam-6355	35	21	delay	delay	PROPN
ejpam-6355	35	22	volterra	volterra	PROPN
ejpam-6355	35	23	functional	functional	PROPN
ejpam-6355	35	24	differential	differential	PROPN
ejpam-6355	35	25	equations	equation	NOUN
ejpam-6355	35	26	.	.	PUNCT
ejpam-6355	36	1	bellour	bellour	NOUN
ejpam-6355	36	2	and	and	CCONJ
ejpam-6355	36	3	bousselsal	bousselsal	NOUN
ejpam-6355	36	4	[	[	X
ejpam-6355	36	5	11	11	NUM
ejpam-6355	36	6	]	]	PUNCT
ejpam-6355	36	7	studied	study	VERB
ejpam-6355	36	8	the	the	DET
ejpam-6355	36	9	numerical	numerical	ADJ
ejpam-6355	36	10	solution	solution	NOUN
ejpam-6355	36	11	of	of	ADP
ejpam-6355	36	12	dvides	dvide	NOUN
ejpam-6355	36	13	using	use	VERB
ejpam-6355	36	14	the	the	DET
ejpam-6355	36	15	taylor	taylor	NOUN
ejpam-6355	36	16	collocation	collocation	NOUN
ejpam-6355	36	17	method	method	NOUN
ejpam-6355	36	18	.	.	PUNCT
ejpam-6355	37	1	the	the	DET
ejpam-6355	37	2	authors	author	NOUN
ejpam-6355	37	3	of	of	ADP
ejpam-6355	37	4	[	[	X
ejpam-6355	37	5	12	12	NUM
ejpam-6355	37	6	]	]	PUNCT
ejpam-6355	37	7	investigated	investigate	VERB
ejpam-6355	37	8	the	the	DET
ejpam-6355	37	9	error	error	NOUN
ejpam-6355	37	10	behaviour	behaviour	NOUN
ejpam-6355	37	11	of	of	ADP
ejpam-6355	37	12	linear	linear	ADJ
ejpam-6355	37	13	multistep	multistep	ADJ
ejpam-6355	37	14	methods	method	NOUN
ejpam-6355	37	15	applied	apply	VERB
ejpam-6355	37	16	to	to	PART
ejpam-6355	37	17	singularly	singularly	ADV
ejpam-6355	37	18	perturbed	perturb	VERB
ejpam-6355	37	19	dvides	dvide	NOUN
ejpam-6355	37	20	.	.	PUNCT
ejpam-6355	38	1	amirali	amirali	VERB
ejpam-6355	38	2	and	and	CCONJ
ejpam-6355	38	3	acar	acar	VERB
ejpam-6355	38	4	[	[	X
ejpam-6355	38	5	13	13	NUM
ejpam-6355	38	6	]	]	PUNCT
ejpam-6355	38	7	introduced	introduce	VERB
ejpam-6355	38	8	a	a	DET
ejpam-6355	38	9	novel	novel	ADJ
ejpam-6355	38	10	numerical	numerical	ADJ
ejpam-6355	38	11	technique	technique	NOUN
ejpam-6355	38	12	for	for	ADP
ejpam-6355	38	13	solving	solve	VERB
ejpam-6355	38	14	neutral	neutral	ADJ
ejpam-6355	38	15	dvides	dvide	NOUN
ejpam-6355	38	16	.	.	PUNCT
ejpam-6355	39	1	further	far	ADV
ejpam-6355	39	2	,	,	PUNCT
ejpam-6355	39	3	their	their	PRON
ejpam-6355	39	4	numerical	numerical	ADJ
ejpam-6355	39	5	scheme	scheme	NOUN
ejpam-6355	39	6	obtained	obtain	VERB
ejpam-6355	39	7	a	a	DET
ejpam-6355	39	8	second	second	ADJ
ejpam-6355	39	9	-	-	PUNCT
ejpam-6355	39	10	order	order	NOUN
ejpam-6355	39	11	convergence	convergence	NOUN
ejpam-6355	39	12	.	.	PUNCT
ejpam-6355	40	1	rihan	rihan	NOUN
ejpam-6355	40	2	et	et	PROPN
ejpam-6355	40	3	al	al	PROPN
ejpam-6355	40	4	.	.	PUNCT
ejpam-6355	41	1	[	[	X
ejpam-6355	41	2	14	14	NUM
ejpam-6355	41	3	]	]	PUNCT
ejpam-6355	41	4	presented	present	VERB
ejpam-6355	41	5	a	a	DET
ejpam-6355	41	6	new	new	ADJ
ejpam-6355	41	7	numerical	numerical	ADJ
ejpam-6355	41	8	scheme	scheme	NOUN
ejpam-6355	41	9	for	for	ADP
ejpam-6355	41	10	solving	solve	VERB
ejpam-6355	41	11	the	the	DET
ejpam-6355	41	12	dvides	dvide	NOUN
ejpam-6355	41	13	;	;	PUNCT
ejpam-6355	41	14	the	the	DET
ejpam-6355	41	15	authors	author	NOUN
ejpam-6355	41	16	used	use	VERB
ejpam-6355	41	17	the	the	DET
ejpam-6355	41	18	implicit	implicit	ADJ
ejpam-6355	41	19	runge	runge	NOUN
ejpam-6355	41	20	-	-	PUNCT
ejpam-6355	41	21	kutta	kutta	NOUN
ejpam-6355	41	22	method	method	NOUN
ejpam-6355	41	23	for	for	ADP
ejpam-6355	41	24	approximating	approximate	VERB
ejpam-6355	41	25	the	the	DET
ejpam-6355	41	26	differential	differential	ADJ
ejpam-6355	41	27	operator	operator	NOUN
ejpam-6355	41	28	and	and	CCONJ
ejpam-6355	41	29	boole	boole	PROPN
ejpam-6355	41	30	’s	’s	PART
ejpam-6355	41	31	quadrature	quadrature	NOUN
ejpam-6355	41	32	rule	rule	NOUN
ejpam-6355	41	33	for	for	ADP
ejpam-6355	41	34	the	the	DET
ejpam-6355	41	35	integral	integral	ADJ
ejpam-6355	41	36	operator	operator	NOUN
ejpam-6355	41	37	.	.	PUNCT
ejpam-6355	42	1	even	even	ADV
ejpam-6355	42	2	though	though	SCONJ
ejpam-6355	42	3	traditional	traditional	ADJ
ejpam-6355	42	4	numerical	numerical	ADJ
ejpam-6355	42	5	methods	method	NOUN
ejpam-6355	42	6	offer	offer	VERB
ejpam-6355	42	7	viable	viable	ADJ
ejpam-6355	42	8	solutions	solution	NOUN
ejpam-6355	42	9	to	to	ADP
ejpam-6355	42	10	dvides	dvide	NOUN
ejpam-6355	42	11	,	,	PUNCT
ejpam-6355	42	12	they	they	PRON
ejpam-6355	42	13	often	often	ADV
ejpam-6355	42	14	struggle	struggle	VERB
ejpam-6355	42	15	to	to	PART
ejpam-6355	42	16	handle	handle	VERB
ejpam-6355	42	17	complex	complex	ADJ
ejpam-6355	42	18	integrals	integral	NOUN
ejpam-6355	42	19	and	and	CCONJ
ejpam-6355	42	20	decay	decay	NOUN
ejpam-6355	42	21	terms	term	NOUN
ejpam-6355	42	22	effectively	effectively	ADV
ejpam-6355	42	23	.	.	PUNCT
ejpam-6355	43	1	in	in	ADP
ejpam-6355	43	2	this	this	DET
ejpam-6355	43	3	context	context	NOUN
ejpam-6355	43	4	,	,	PUNCT
ejpam-6355	43	5	the	the	DET
ejpam-6355	43	6	laplace	laplace	NOUN
ejpam-6355	43	7	transform	transform	NOUN
ejpam-6355	43	8	(	(	PUNCT
ejpam-6355	43	9	lt	lt	NOUN
ejpam-6355	43	10	)	)	PUNCT
ejpam-6355	43	11	emerges	emerge	NOUN
ejpam-6355	43	12	as	as	ADP
ejpam-6355	43	13	a	a	DET
ejpam-6355	43	14	promising	promising	ADJ
ejpam-6355	43	15	method	method	NOUN
ejpam-6355	43	16	,	,	PUNCT
ejpam-6355	43	17	providing	provide	VERB
ejpam-6355	43	18	an	an	DET
ejpam-6355	43	19	elegant	elegant	ADJ
ejpam-6355	43	20	approach	approach	NOUN
ejpam-6355	43	21	to	to	PART
ejpam-6355	43	22	simplify	simplify	VERB
ejpam-6355	43	23	these	these	DET
ejpam-6355	43	24	equations	equation	NOUN
ejpam-6355	43	25	by	by	ADP
ejpam-6355	43	26	converting	convert	VERB
ejpam-6355	43	27	them	they	PRON
ejpam-6355	43	28	into	into	ADP
ejpam-6355	43	29	the	the	DET
ejpam-6355	43	30	laplace	laplace	NOUN
ejpam-6355	43	31	domain	domain	NOUN
ejpam-6355	43	32	,	,	PUNCT
ejpam-6355	43	33	where	where	SCONJ
ejpam-6355	43	34	algebraic	algebraic	ADJ
ejpam-6355	43	35	manipulation	manipulation	NOUN
ejpam-6355	43	36	becomes	become	VERB
ejpam-6355	43	37	easy	easy	ADJ
ejpam-6355	43	38	.	.	PUNCT
ejpam-6355	44	1	the	the	DET
ejpam-6355	44	2	use	use	NOUN
ejpam-6355	44	3	of	of	ADP
ejpam-6355	44	4	lt	lt	PRON
ejpam-6355	44	5	facilitates	facilitate	VERB
ejpam-6355	44	6	the	the	DET
ejpam-6355	44	7	analysis	analysis	NOUN
ejpam-6355	44	8	of	of	ADP
ejpam-6355	44	9	systems	system	NOUN
ejpam-6355	44	10	with	with	ADP
ejpam-6355	44	11	delays	delay	NOUN
ejpam-6355	44	12	,	,	PUNCT
ejpam-6355	45	1	kamran	kamran	PROPN
ejpam-6355	45	2	et	et	PROPN
ejpam-6355	45	3	al	al	PROPN
ejpam-6355	45	4	.	.	PUNCT
ejpam-6355	45	5	/	/	SYM
ejpam-6355	45	6	eur	eur	PROPN
ejpam-6355	45	7	.	.	PUNCT
ejpam-6355	46	1	j.	j.	PROPN
ejpam-6355	46	2	pure	pure	PROPN
ejpam-6355	46	3	appl	appl	PROPN
ejpam-6355	46	4	.	.	PROPN
ejpam-6355	46	5	math	math	PROPN
ejpam-6355	46	6	,	,	PUNCT
ejpam-6355	46	7	18	18	NUM
ejpam-6355	46	8	(	(	PUNCT
ejpam-6355	46	9	3	3	NUM
ejpam-6355	46	10	)	)	PUNCT
ejpam-6355	46	11	(	(	PUNCT
ejpam-6355	46	12	2025	2025	NUM
ejpam-6355	46	13	)	)	PUNCT
ejpam-6355	46	14	,	,	PUNCT
ejpam-6355	46	15	6355	6355	NUM
ejpam-6355	46	16	3	3	NUM
ejpam-6355	46	17	of	of	ADP
ejpam-6355	46	18	22	22	NUM
ejpam-6355	46	19	hereditary	hereditary	ADJ
ejpam-6355	46	20	properties	property	NOUN
ejpam-6355	46	21	,	,	PUNCT
ejpam-6355	46	22	or	or	CCONJ
ejpam-6355	46	23	distributed	distribute	VERB
ejpam-6355	46	24	memory	memory	NOUN
ejpam-6355	46	25	effects	effect	NOUN
ejpam-6355	46	26	,	,	PUNCT
ejpam-6355	46	27	as	as	SCONJ
ejpam-6355	46	28	these	these	DET
ejpam-6355	46	29	intricate	intricate	ADJ
ejpam-6355	46	30	processes	process	NOUN
ejpam-6355	46	31	become	become	VERB
ejpam-6355	46	32	more	more	ADV
ejpam-6355	46	33	feasible	feasible	ADJ
ejpam-6355	46	34	in	in	ADP
ejpam-6355	46	35	transformed	transform	VERB
ejpam-6355	46	36	space	space	NOUN
ejpam-6355	46	37	.	.	PUNCT
ejpam-6355	47	1	moreover	moreover	ADV
ejpam-6355	47	2	,	,	PUNCT
ejpam-6355	47	3	the	the	DET
ejpam-6355	47	4	lt	lt	PRON
ejpam-6355	47	5	method	method	NOUN
ejpam-6355	47	6	is	be	AUX
ejpam-6355	47	7	particularly	particularly	ADV
ejpam-6355	47	8	effective	effective	ADJ
ejpam-6355	47	9	in	in	ADP
ejpam-6355	47	10	solving	solve	VERB
ejpam-6355	47	11	initial	initial	ADJ
ejpam-6355	47	12	value	value	NOUN
ejpam-6355	47	13	problems	problem	NOUN
ejpam-6355	47	14	because	because	SCONJ
ejpam-6355	47	15	it	it	PRON
ejpam-6355	47	16	integrates	integrate	VERB
ejpam-6355	47	17	the	the	DET
ejpam-6355	47	18	initial	initial	ADJ
ejpam-6355	47	19	conditions	condition	NOUN
ejpam-6355	47	20	directly	directly	ADV
ejpam-6355	47	21	into	into	ADP
ejpam-6355	47	22	the	the	DET
ejpam-6355	47	23	transformed	transform	VERB
ejpam-6355	47	24	equation	equation	NOUN
ejpam-6355	47	25	,	,	PUNCT
ejpam-6355	47	26	eliminating	eliminate	VERB
ejpam-6355	47	27	the	the	DET
ejpam-6355	47	28	need	need	NOUN
ejpam-6355	47	29	for	for	ADP
ejpam-6355	47	30	additional	additional	ADJ
ejpam-6355	47	31	steps	step	NOUN
ejpam-6355	47	32	.	.	PUNCT
ejpam-6355	48	1	multiple	multiple	ADJ
ejpam-6355	48	2	studies	study	NOUN
ejpam-6355	48	3	have	have	AUX
ejpam-6355	48	4	shown	show	VERB
ejpam-6355	48	5	the	the	DET
ejpam-6355	48	6	efficiency	efficiency	NOUN
ejpam-6355	48	7	of	of	ADP
ejpam-6355	48	8	the	the	DET
ejpam-6355	48	9	lt	lt	NOUN
ejpam-6355	48	10	method	method	NOUN
ejpam-6355	48	11	in	in	ADP
ejpam-6355	48	12	solving	solve	VERB
ejpam-6355	48	13	equations	equation	NOUN
ejpam-6355	48	14	related	relate	VERB
ejpam-6355	48	15	to	to	ADP
ejpam-6355	48	16	population	population	NOUN
ejpam-6355	48	17	dynamics	dynamic	NOUN
ejpam-6355	48	18	,	,	PUNCT
ejpam-6355	48	19	viscoelasticity	viscoelasticity	NOUN
ejpam-6355	48	20	problems	problem	NOUN
ejpam-6355	48	21	,	,	PUNCT
ejpam-6355	48	22	control	control	NOUN
ejpam-6355	48	23	theory	theory	NOUN
ejpam-6355	48	24	,	,	PUNCT
ejpam-6355	48	25	etc	etc	X
ejpam-6355	48	26	(	(	PUNCT
ejpam-6355	48	27	[	[	X
ejpam-6355	48	28	15–18	15–18	NUM
ejpam-6355	48	29	]	]	NOUN
ejpam-6355	48	30	)	)	PUNCT
ejpam-6355	48	31	.	.	PUNCT
ejpam-6355	49	1	however	however	ADV
ejpam-6355	49	2	,	,	PUNCT
ejpam-6355	49	3	the	the	DET
ejpam-6355	49	4	success	success	NOUN
ejpam-6355	49	5	of	of	ADP
ejpam-6355	49	6	this	this	DET
ejpam-6355	49	7	method	method	NOUN
ejpam-6355	49	8	is	be	AUX
ejpam-6355	49	9	largely	largely	ADV
ejpam-6355	49	10	dependent	dependent	ADJ
ejpam-6355	49	11	on	on	ADP
ejpam-6355	49	12	the	the	DET
ejpam-6355	49	13	availability	availability	NOUN
ejpam-6355	49	14	of	of	ADP
ejpam-6355	49	15	effective	effective	ADJ
ejpam-6355	49	16	numerical	numerical	ADJ
ejpam-6355	49	17	inversion	inversion	NOUN
ejpam-6355	49	18	methods	method	NOUN
ejpam-6355	49	19	to	to	PART
ejpam-6355	49	20	extract	extract	VERB
ejpam-6355	49	21	the	the	DET
ejpam-6355	49	22	time	time	NOUN
ejpam-6355	49	23	-	-	PUNCT
ejpam-6355	49	24	domain	domain	NOUN
ejpam-6355	49	25	solution	solution	NOUN
ejpam-6355	49	26	from	from	ADP
ejpam-6355	49	27	the	the	DET
ejpam-6355	49	28	laplace	laplace	NOUN
ejpam-6355	49	29	domain	domain	NOUN
ejpam-6355	49	30	solution	solution	NOUN
ejpam-6355	49	31	[	[	X
ejpam-6355	49	32	19	19	NUM
ejpam-6355	49	33	,	,	PUNCT
ejpam-6355	49	34	20	20	NUM
ejpam-6355	49	35	]	]	PUNCT
ejpam-6355	49	36	.	.	PUNCT
ejpam-6355	50	1	in	in	ADP
ejpam-6355	50	2	the	the	DET
ejpam-6355	50	3	literature	literature	NOUN
ejpam-6355	50	4	,	,	PUNCT
ejpam-6355	50	5	many	many	ADJ
ejpam-6355	50	6	methods	method	NOUN
ejpam-6355	50	7	have	have	AUX
ejpam-6355	50	8	been	be	AUX
ejpam-6355	50	9	developed	develop	VERB
ejpam-6355	50	10	for	for	ADP
ejpam-6355	50	11	numerical	numerical	ADJ
ejpam-6355	50	12	inversion	inversion	NOUN
ejpam-6355	50	13	of	of	ADP
ejpam-6355	50	14	lt	lt	PROPN
ejpam-6355	50	15	.	.	PROPN
ejpam-6355	50	16	however	however	ADV
ejpam-6355	50	17	,	,	PUNCT
ejpam-6355	50	18	in	in	ADP
ejpam-6355	50	19	this	this	DET
ejpam-6355	50	20	article	article	NOUN
ejpam-6355	50	21	,	,	PUNCT
ejpam-6355	50	22	we	we	PRON
ejpam-6355	50	23	use	use	VERB
ejpam-6355	50	24	the	the	DET
ejpam-6355	50	25	gauss	gauss	ADJ
ejpam-6355	50	26	-	-	PUNCT
ejpam-6355	50	27	hermite	hermite	ADJ
ejpam-6355	50	28	quadrature	quadrature	NOUN
ejpam-6355	50	29	(	(	PUNCT
ejpam-6355	50	30	ghq	ghq	NOUN
ejpam-6355	50	31	)	)	PUNCT
ejpam-6355	50	32	method	method	NOUN
ejpam-6355	50	33	[	[	X
ejpam-6355	50	34	21	21	NUM
ejpam-6355	50	35	]	]	PUNCT
ejpam-6355	50	36	and	and	CCONJ
ejpam-6355	50	37	the	the	DET
ejpam-6355	50	38	weeks	week	NOUN
ejpam-6355	50	39	(	(	PUNCT
ejpam-6355	50	40	wk	wk	NOUN
ejpam-6355	50	41	)	)	PUNCT
ejpam-6355	50	42	method	method	NOUN
ejpam-6355	50	43	[	[	X
ejpam-6355	50	44	22	22	NUM
ejpam-6355	50	45	]	]	PUNCT
ejpam-6355	50	46	.	.	PUNCT
ejpam-6355	51	1	the	the	DET
ejpam-6355	51	2	structure	structure	NOUN
ejpam-6355	51	3	of	of	ADP
ejpam-6355	51	4	this	this	DET
ejpam-6355	51	5	paper	paper	NOUN
ejpam-6355	51	6	is	be	AUX
ejpam-6355	51	7	organized	organize	VERB
ejpam-6355	51	8	as	as	SCONJ
ejpam-6355	51	9	follows	follow	VERB
ejpam-6355	51	10	:	:	PUNCT
ejpam-6355	51	11	section	section	NOUN
ejpam-6355	51	12	2	2	NUM
ejpam-6355	51	13	presents	present	VERB
ejpam-6355	51	14	the	the	DET
ejpam-6355	51	15	fundamental	fundamental	ADJ
ejpam-6355	51	16	definitions	definition	NOUN
ejpam-6355	51	17	.	.	PUNCT
ejpam-6355	52	1	section	section	NOUN
ejpam-6355	52	2	3	3	NUM
ejpam-6355	52	3	explores	explore	VERB
ejpam-6355	52	4	the	the	DET
ejpam-6355	52	5	existence	existence	NOUN
ejpam-6355	52	6	and	and	CCONJ
ejpam-6355	52	7	uniqueness	uniqueness	NOUN
ejpam-6355	52	8	results	result	NOUN
ejpam-6355	52	9	of	of	ADP
ejpam-6355	52	10	the	the	DET
ejpam-6355	52	11	solution	solution	NOUN
ejpam-6355	52	12	.	.	PUNCT
ejpam-6355	53	1	section	section	NOUN
ejpam-6355	53	2	4	4	NUM
ejpam-6355	53	3	provides	provide	VERB
ejpam-6355	53	4	a	a	DET
ejpam-6355	53	5	detailed	detailed	ADJ
ejpam-6355	53	6	description	description	NOUN
ejpam-6355	53	7	of	of	ADP
ejpam-6355	53	8	the	the	DET
ejpam-6355	53	9	methods	method	NOUN
ejpam-6355	53	10	,	,	PUNCT
ejpam-6355	53	11	followed	follow	VERB
ejpam-6355	53	12	by	by	ADP
ejpam-6355	53	13	section	section	NOUN
ejpam-6355	53	14	5	5	NUM
ejpam-6355	53	15	,	,	PUNCT
ejpam-6355	53	16	which	which	PRON
ejpam-6355	53	17	includes	include	VERB
ejpam-6355	53	18	numerical	numerical	ADJ
ejpam-6355	53	19	examples	example	NOUN
ejpam-6355	53	20	that	that	PRON
ejpam-6355	53	21	illustrate	illustrate	VERB
ejpam-6355	53	22	the	the	DET
ejpam-6355	53	23	efficiency	efficiency	NOUN
ejpam-6355	53	24	of	of	ADP
ejpam-6355	53	25	the	the	DET
ejpam-6355	53	26	methods	method	NOUN
ejpam-6355	53	27	.	.	PUNCT
ejpam-6355	54	1	finally	finally	ADV
ejpam-6355	54	2	,	,	PUNCT
ejpam-6355	54	3	section	section	NOUN
ejpam-6355	54	4	6	6	NUM
ejpam-6355	54	5	concludes	conclude	VERB
ejpam-6355	54	6	the	the	DET
ejpam-6355	54	7	article	article	NOUN
ejpam-6355	54	8	by	by	ADP
ejpam-6355	54	9	presenting	present	VERB
ejpam-6355	54	10	key	key	ADJ
ejpam-6355	54	11	insights	insight	NOUN
ejpam-6355	54	12	and	and	CCONJ
ejpam-6355	54	13	outlining	outline	VERB
ejpam-6355	54	14	potential	potential	ADJ
ejpam-6355	54	15	future	future	ADJ
ejpam-6355	54	16	directions	direction	NOUN
ejpam-6355	54	17	.	.	PUNCT
ejpam-6355	55	1	2	2	X
ejpam-6355	55	2	.	.	X
ejpam-6355	55	3	preliminaries	preliminary	NOUN
ejpam-6355	55	4	let	let	VERB
ejpam-6355	55	5	t	t	NOUN
ejpam-6355	55	6	=	=	PUNCT
ejpam-6355	56	1	[	[	X
ejpam-6355	56	2	0	0	NUM
ejpam-6355	56	3	,	,	PUNCT
ejpam-6355	56	4	1	1	NUM
ejpam-6355	56	5	]	]	PUNCT
ejpam-6355	56	6	.	.	PUNCT
ejpam-6355	57	1	for	for	ADP
ejpam-6355	57	2	any	any	DET
ejpam-6355	57	3	function	function	NOUN
ejpam-6355	57	4	u	u	NOUN
ejpam-6355	57	5	∈	∈	PROPN
ejpam-6355	57	6	c(t	c(t	PROPN
ejpam-6355	57	7	,	,	PUNCT
ejpam-6355	57	8	r	r	NOUN
ejpam-6355	57	9	)	)	PUNCT
ejpam-6355	57	10	,	,	PUNCT
ejpam-6355	57	11	the	the	DET
ejpam-6355	57	12	norm	norm	NOUN
ejpam-6355	57	13	∥u∥∞	∥u∥∞	PUNCT
ejpam-6355	57	14	is	be	AUX
ejpam-6355	57	15	defined	define	VERB
ejpam-6355	57	16	as	as	ADP
ejpam-6355	57	17	∥u∥∞	∥u∥∞	X
ejpam-6355	57	18	=	=	SYM
ejpam-6355	57	19	sup	sup	NOUN
ejpam-6355	57	20	t∈t	t∈t	ADV
ejpam-6355	57	21	|u(t)|	|u(t)|	NOUN
ejpam-6355	57	22	.	.	NOUN
ejpam-6355	57	23	definition	definition	NOUN
ejpam-6355	57	24	1	1	NUM
ejpam-6355	57	25	.	.	PUNCT
ejpam-6355	58	1	let	let	VERB
ejpam-6355	58	2	u(t	u(t	NOUN
ejpam-6355	58	3	)	)	PUNCT
ejpam-6355	58	4	be	be	AUX
ejpam-6355	58	5	a	a	DET
ejpam-6355	58	6	real	real	ADV
ejpam-6355	58	7	-	-	PUNCT
ejpam-6355	58	8	valued	value	VERB
ejpam-6355	58	9	function	function	NOUN
ejpam-6355	58	10	that	that	PRON
ejpam-6355	58	11	is	be	AUX
ejpam-6355	58	12	piecewise	piecewise	NOUN
ejpam-6355	58	13	continuous	continuous	ADJ
ejpam-6355	58	14	for	for	ADP
ejpam-6355	58	15	t	t	PROPN
ejpam-6355	58	16	>	>	X
ejpam-6355	58	17	0	0	NUM
ejpam-6355	58	18	,	,	PUNCT
ejpam-6355	58	19	and	and	CCONJ
ejpam-6355	58	20	assume	assume	VERB
ejpam-6355	58	21	that	that	SCONJ
ejpam-6355	58	22	it	it	PRON
ejpam-6355	58	23	is	be	AUX
ejpam-6355	58	24	of	of	ADP
ejpam-6355	58	25	exponential	exponential	ADJ
ejpam-6355	58	26	order	order	NOUN
ejpam-6355	58	27	.	.	PUNCT
ejpam-6355	59	1	under	under	ADP
ejpam-6355	59	2	these	these	DET
ejpam-6355	59	3	conditions	condition	NOUN
ejpam-6355	59	4	,	,	PUNCT
ejpam-6355	59	5	the	the	DET
ejpam-6355	59	6	lt	lt	NOUN
ejpam-6355	59	7	of	of	ADP
ejpam-6355	59	8	u(t	u(t	NOUN
ejpam-6355	59	9	)	)	PUNCT
ejpam-6355	59	10	exists	exist	VERB
ejpam-6355	59	11	and	and	CCONJ
ejpam-6355	59	12	is	be	AUX
ejpam-6355	59	13	given	give	VERB
ejpam-6355	59	14	as	as	ADP
ejpam-6355	59	15	:	:	PUNCT
ejpam-6355	59	16	û(z	û(z	NOUN
ejpam-6355	59	17	)	)	PUNCT
ejpam-6355	59	18	=	=	SYM
ejpam-6355	59	19	l	l	NOUN
ejpam-6355	59	20	{	{	PUNCT
ejpam-6355	59	21	u(t	u(t	PROPN
ejpam-6355	59	22	)	)	PUNCT
ejpam-6355	59	23	}	}	PUNCT
ejpam-6355	59	24	=	=	SYM
ejpam-6355	60	1	∫	∫	PROPN
ejpam-6355	60	2	∞	∞	PROPN
ejpam-6355	60	3	0	0	NUM
ejpam-6355	61	1	e−ztu(t)dt	e−ztu(t)dt	PROPN
ejpam-6355	61	2	.	.	PUNCT
ejpam-6355	61	3	theorem	theorem	VERB
ejpam-6355	61	4	1	1	NUM
ejpam-6355	61	5	.	.	PUNCT
ejpam-6355	62	1	[	[	X
ejpam-6355	62	2	3	3	X
ejpam-6355	62	3	]	]	PUNCT
ejpam-6355	62	4	let	let	VERB
ejpam-6355	62	5	ϕ(t),ϕ′(t	ϕ(t),ϕ′(t	NOUN
ejpam-6355	62	6	)	)	PUNCT
ejpam-6355	62	7	be	be	AUX
ejpam-6355	62	8	continuous	continuous	ADJ
ejpam-6355	62	9	on	on	ADP
ejpam-6355	62	10	the	the	DET
ejpam-6355	62	11	interval	interval	NOUN
ejpam-6355	62	12	[	[	X
ejpam-6355	62	13	−σ	−σ	NOUN
ejpam-6355	62	14	,	,	PUNCT
ejpam-6355	62	15	0	0	NUM
ejpam-6355	62	16	]	]	PUNCT
ejpam-6355	62	17	;	;	PUNCT
ejpam-6355	62	18	then	then	ADV
ejpam-6355	62	19	the	the	DET
ejpam-6355	62	20	lt	lt	NOUN
ejpam-6355	62	21	of	of	ADP
ejpam-6355	62	22	u(t−σ	u(t−σ	PROPN
ejpam-6355	62	23	)	)	PUNCT
ejpam-6355	62	24	and	and	CCONJ
ejpam-6355	62	25	u′(t−	u′(t−	PROPN
ejpam-6355	62	26	σ	σ	PROPN
ejpam-6355	62	27	)	)	PUNCT
ejpam-6355	62	28	are	be	AUX
ejpam-6355	62	29	given	give	VERB
ejpam-6355	62	30	as	as	ADP
ejpam-6355	62	31	:	:	PUNCT
ejpam-6355	62	32	l	l	NOUN
ejpam-6355	62	33	{	{	PUNCT
ejpam-6355	62	34	u(t−	u(t−	PROPN
ejpam-6355	62	35	σ	σ	PROPN
ejpam-6355	62	36	)	)	PUNCT
ejpam-6355	62	37	}	}	PUNCT
ejpam-6355	62	38	=	=	PUNCT
ejpam-6355	62	39	ϕ̄(z	ϕ̄(z	NOUN
ejpam-6355	62	40	)	)	PUNCT
ejpam-6355	63	1	+	+	CCONJ
ejpam-6355	64	1	e(−zσ)l	e(−zσ)l	PROPN
ejpam-6355	64	2	{	{	PUNCT
ejpam-6355	64	3	u(t	u(t	NOUN
ejpam-6355	64	4	)	)	PUNCT
ejpam-6355	64	5	}	}	PUNCT
ejpam-6355	64	6	,	,	PUNCT
ejpam-6355	64	7	and	and	CCONJ
ejpam-6355	64	8	l	l	NOUN
ejpam-6355	64	9	{	{	PUNCT
ejpam-6355	64	10	u′(t−	u′(t−	PROPN
ejpam-6355	64	11	σ	σ	PROPN
ejpam-6355	64	12	)	)	PUNCT
ejpam-6355	64	13	}	}	PUNCT
ejpam-6355	64	14	=	=	SYM
ejpam-6355	64	15	¯̄ϕ(z	¯̄ϕ(z	PROPN
ejpam-6355	64	16	)	)	PUNCT
ejpam-6355	64	17	+	+	CCONJ
ejpam-6355	64	18	e(−zσ)l	e(−zσ)l	PROPN
ejpam-6355	64	19	{	{	PUNCT
ejpam-6355	64	20	u′(t	u′(t	NOUN
ejpam-6355	64	21	)	)	PUNCT
ejpam-6355	64	22	}	}	PUNCT
ejpam-6355	64	23	,	,	PUNCT
ejpam-6355	64	24	where	where	SCONJ
ejpam-6355	64	25	ϕ̄(z	ϕ̄(z	NOUN
ejpam-6355	64	26	)	)	PUNCT
ejpam-6355	64	27	=	=	SYM
ejpam-6355	64	28	∫	∫	PROPN
ejpam-6355	64	29	0	0	NUM
ejpam-6355	64	30	−σ	−σ	PROPN
ejpam-6355	64	31	e−z(t+σ)ϕ(t)dt	e−z(t+σ)ϕ(t)dt	PROPN
ejpam-6355	64	32	,	,	PUNCT
ejpam-6355	64	33	¯̄ϕ(z	¯̄ϕ(z	PROPN
ejpam-6355	64	34	)	)	PUNCT
ejpam-6355	64	35	=	=	SYM
ejpam-6355	64	36	∫	∫	PROPN
ejpam-6355	64	37	0	0	NUM
ejpam-6355	64	38	−σ	−σ	PROPN
ejpam-6355	64	39	e−z(t+σ)ϕ′(t)dt	e−z(t+σ)ϕ′(t)dt	PROPN
ejpam-6355	64	40	.	.	PROPN
ejpam-6355	65	1	3	3	X
ejpam-6355	65	2	.	.	X
ejpam-6355	65	3	existence	existence	NOUN
ejpam-6355	65	4	and	and	CCONJ
ejpam-6355	65	5	uniqueness	uniqueness	NOUN
ejpam-6355	65	6	of	of	ADP
ejpam-6355	65	7	solution	solution	NOUN
ejpam-6355	65	8	the	the	DET
ejpam-6355	65	9	analysis	analysis	NOUN
ejpam-6355	65	10	of	of	ADP
ejpam-6355	65	11	the	the	DET
ejpam-6355	65	12	existence	existence	NOUN
ejpam-6355	65	13	and	and	CCONJ
ejpam-6355	65	14	uniqueness	uniqueness	NOUN
ejpam-6355	65	15	of	of	ADP
ejpam-6355	65	16	the	the	DET
ejpam-6355	65	17	solution	solution	NOUN
ejpam-6355	65	18	is	be	AUX
ejpam-6355	65	19	crucial	crucial	ADJ
ejpam-6355	65	20	for	for	ADP
ejpam-6355	65	21	ensuring	ensure	VERB
ejpam-6355	65	22	that	that	SCONJ
ejpam-6355	65	23	the	the	DET
ejpam-6355	65	24	problem	problem	NOUN
ejpam-6355	65	25	at	at	ADP
ejpam-6355	65	26	hand	hand	NOUN
ejpam-6355	65	27	is	be	AUX
ejpam-6355	65	28	well	well	ADV
ejpam-6355	65	29	-	-	PUNCT
ejpam-6355	65	30	posed	pose	VERB
ejpam-6355	65	31	.	.	PUNCT
ejpam-6355	66	1	by	by	ADP
ejpam-6355	66	2	establishing	establish	VERB
ejpam-6355	66	3	these	these	DET
ejpam-6355	66	4	characteristics	characteristic	NOUN
ejpam-6355	66	5	,	,	PUNCT
ejpam-6355	66	6	the	the	DET
ejpam-6355	66	7	model	model	NOUN
ejpam-6355	66	8	kamran	kamran	PROPN
ejpam-6355	66	9	et	et	PROPN
ejpam-6355	66	10	al	al	PROPN
ejpam-6355	66	11	.	.	PUNCT
ejpam-6355	66	12	/	/	SYM
ejpam-6355	66	13	eur	eur	PROPN
ejpam-6355	66	14	.	.	PUNCT
ejpam-6355	67	1	j.	j.	PROPN
ejpam-6355	67	2	pure	pure	PROPN
ejpam-6355	67	3	appl	appl	PROPN
ejpam-6355	67	4	.	.	PROPN
ejpam-6355	67	5	math	math	PROPN
ejpam-6355	67	6	,	,	PUNCT
ejpam-6355	67	7	18	18	NUM
ejpam-6355	67	8	(	(	PUNCT
ejpam-6355	67	9	3	3	NUM
ejpam-6355	67	10	)	)	PUNCT
ejpam-6355	67	11	(	(	PUNCT
ejpam-6355	67	12	2025	2025	NUM
ejpam-6355	67	13	)	)	PUNCT
ejpam-6355	67	14	,	,	PUNCT
ejpam-6355	67	15	6355	6355	NUM
ejpam-6355	67	16	4	4	NUM
ejpam-6355	67	17	of	of	ADP
ejpam-6355	67	18	22	22	NUM
ejpam-6355	67	19	becomes	become	VERB
ejpam-6355	67	20	reliable	reliable	ADJ
ejpam-6355	67	21	and	and	CCONJ
ejpam-6355	67	22	consistent	consistent	ADJ
ejpam-6355	67	23	,	,	PUNCT
ejpam-6355	67	24	ensuring	ensure	VERB
ejpam-6355	67	25	that	that	SCONJ
ejpam-6355	67	26	a	a	DET
ejpam-6355	67	27	solution	solution	NOUN
ejpam-6355	67	28	exists	exist	VERB
ejpam-6355	67	29	under	under	ADP
ejpam-6355	67	30	specific	specific	ADJ
ejpam-6355	67	31	conditions	condition	NOUN
ejpam-6355	67	32	and	and	CCONJ
ejpam-6355	67	33	is	be	AUX
ejpam-6355	67	34	unique	unique	ADJ
ejpam-6355	67	35	.	.	PUNCT
ejpam-6355	68	1	this	this	DET
ejpam-6355	68	2	section	section	NOUN
ejpam-6355	68	3	offers	offer	VERB
ejpam-6355	68	4	a	a	DET
ejpam-6355	68	5	rigorous	rigorous	ADJ
ejpam-6355	68	6	framework	framework	NOUN
ejpam-6355	68	7	to	to	PART
ejpam-6355	68	8	show	show	VERB
ejpam-6355	68	9	that	that	SCONJ
ejpam-6355	68	10	the	the	DET
ejpam-6355	68	11	problem	problem	NOUN
ejpam-6355	68	12	considered	consider	VERB
ejpam-6355	68	13	admits	admit	VERB
ejpam-6355	68	14	a	a	DET
ejpam-6355	68	15	unique	unique	ADJ
ejpam-6355	68	16	solution	solution	NOUN
ejpam-6355	68	17	,	,	PUNCT
ejpam-6355	68	18	setting	set	VERB
ejpam-6355	68	19	a	a	DET
ejpam-6355	68	20	strong	strong	ADJ
ejpam-6355	68	21	foundation	foundation	NOUN
ejpam-6355	68	22	for	for	ADP
ejpam-6355	68	23	subsequent	subsequent	ADJ
ejpam-6355	68	24	numerical	numerical	ADJ
ejpam-6355	68	25	investigations	investigation	NOUN
ejpam-6355	68	26	.	.	PUNCT
ejpam-6355	69	1	in	in	ADP
ejpam-6355	69	2	this	this	DET
ejpam-6355	69	3	study	study	NOUN
ejpam-6355	69	4	,	,	PUNCT
ejpam-6355	69	5	the	the	DET
ejpam-6355	69	6	following	follow	VERB
ejpam-6355	69	7	dvide	dvide	NOUN
ejpam-6355	69	8	is	be	AUX
ejpam-6355	69	9	analyzed	analyze	VERB
ejpam-6355	69	10	:	:	PUNCT
ejpam-6355	69	11	λ1	λ1	ADJ
ejpam-6355	69	12	du(t	du(t	NOUN
ejpam-6355	69	13	)	)	PUNCT
ejpam-6355	69	14	dt	dt	X
ejpam-6355	70	1	+	+	PUNCT
ejpam-6355	70	2	λ2	λ2	PROPN
ejpam-6355	70	3	du(t−	du(t−	SYM
ejpam-6355	70	4	σ	σ	NOUN
ejpam-6355	70	5	)	)	PUNCT
ejpam-6355	70	6	dt	dt	NOUN
ejpam-6355	71	1	=	=	PUNCT
ejpam-6355	72	1	λ3f(t)+λ4u(t)+λ5u(t−σ)+	λ3f(t)+λ4u(t)+λ5u(t−σ)+	PROPN
ejpam-6355	72	2	∫	∫	PROPN
ejpam-6355	72	3	t	t	PROPN
ejpam-6355	72	4	0	0	NUM
ejpam-6355	72	5	k(t	k(t	NOUN
ejpam-6355	72	6	,	,	PUNCT
ejpam-6355	72	7	x	x	X
ejpam-6355	72	8	)	)	PUNCT
ejpam-6355	72	9	(	(	PUNCT
ejpam-6355	72	10	λ6u(x	λ6u(x	PROPN
ejpam-6355	72	11	)	)	PUNCT
ejpam-6355	72	12	+	+	CCONJ
ejpam-6355	72	13	λ7u(x−	λ7u(x−	PROPN
ejpam-6355	72	14	σ	σ	PROPN
ejpam-6355	72	15	)	)	PUNCT
ejpam-6355	72	16	)	)	PUNCT
ejpam-6355	72	17	dx	dx	PROPN
ejpam-6355	72	18	,	,	PUNCT
ejpam-6355	72	19	t	t	PROPN
ejpam-6355	72	20	∈	∈	PROPN
ejpam-6355	72	21	t	t	PROPN
ejpam-6355	72	22	,	,	PUNCT
ejpam-6355	72	23	(	(	PUNCT
ejpam-6355	72	24	1	1	X
ejpam-6355	72	25	)	)	PUNCT
ejpam-6355	72	26	u(t	u(t	NOUN
ejpam-6355	72	27	)	)	PUNCT
ejpam-6355	72	28	=	=	SYM
ejpam-6355	72	29	ϕ(t	ϕ(t	NUM
ejpam-6355	72	30	)	)	PUNCT
ejpam-6355	72	31	,	,	PUNCT
ejpam-6355	72	32	t	t	PROPN
ejpam-6355	72	33	∈	∈	PROPN
ejpam-6355	73	1	[	[	X
ejpam-6355	73	2	−σ	−σ	NOUN
ejpam-6355	73	3	,	,	PUNCT
ejpam-6355	73	4	0	0	NUM
ejpam-6355	73	5	]	]	PUNCT
ejpam-6355	73	6	,	,	PUNCT
ejpam-6355	73	7	u(0	u(0	NOUN
ejpam-6355	73	8	)	)	PUNCT
ejpam-6355	73	9	=	=	PUNCT
ejpam-6355	73	10	u0	u0	PROPN
ejpam-6355	73	11	,	,	PUNCT
ejpam-6355	73	12	where	where	SCONJ
ejpam-6355	73	13	λ1	λ1	ADJ
ejpam-6355	73	14	,	,	PUNCT
ejpam-6355	73	15	λ2	λ2	PROPN
ejpam-6355	73	16	,	,	PUNCT
ejpam-6355	73	17	λ3	λ3	PROPN
ejpam-6355	73	18	,	,	PUNCT
ejpam-6355	73	19	λ4	λ4	PROPN
ejpam-6355	73	20	,	,	PUNCT
ejpam-6355	73	21	λ5	λ5	NOUN
ejpam-6355	73	22	,	,	PUNCT
ejpam-6355	73	23	λ6	λ6	NOUN
ejpam-6355	73	24	,	,	PUNCT
ejpam-6355	73	25	λ7	λ7	PROPN
ejpam-6355	73	26	are	be	AUX
ejpam-6355	73	27	constants	constant	NOUN
ejpam-6355	73	28	,	,	PUNCT
ejpam-6355	73	29	the	the	DET
ejpam-6355	73	30	kernel	kernel	PROPN
ejpam-6355	73	31	k(t	k(t	PROPN
ejpam-6355	73	32	,	,	PUNCT
ejpam-6355	73	33	x	x	X
ejpam-6355	73	34	)	)	PUNCT
ejpam-6355	73	35	=	=	SYM
ejpam-6355	73	36	k(t−x	k(t−x	PROPN
ejpam-6355	73	37	)	)	PUNCT
ejpam-6355	73	38	is	be	AUX
ejpam-6355	73	39	a	a	DET
ejpam-6355	73	40	smooth	smooth	ADJ
ejpam-6355	73	41	function	function	NOUN
ejpam-6355	73	42	,	,	PUNCT
ejpam-6355	73	43	f(t	f(t	PROPN
ejpam-6355	73	44	)	)	PUNCT
ejpam-6355	73	45	is	be	AUX
ejpam-6355	73	46	a	a	DET
ejpam-6355	73	47	given	give	VERB
ejpam-6355	73	48	function	function	NOUN
ejpam-6355	73	49	,	,	PUNCT
ejpam-6355	73	50	ϕ	ϕ	PROPN
ejpam-6355	73	51	is	be	AUX
ejpam-6355	73	52	a	a	DET
ejpam-6355	73	53	delay	delay	NOUN
ejpam-6355	73	54	condition	condition	NOUN
ejpam-6355	73	55	and	and	CCONJ
ejpam-6355	73	56	u(t	u(t	NOUN
ejpam-6355	73	57	)	)	PUNCT
ejpam-6355	73	58	is	be	AUX
ejpam-6355	73	59	the	the	DET
ejpam-6355	73	60	unknown	unknown	ADJ
ejpam-6355	73	61	function	function	NOUN
ejpam-6355	73	62	to	to	PART
ejpam-6355	73	63	be	be	AUX
ejpam-6355	73	64	determined	determine	VERB
ejpam-6355	73	65	.	.	PUNCT
ejpam-6355	74	1	applying	apply	VERB
ejpam-6355	74	2	integration	integration	NOUN
ejpam-6355	74	3	techniques	technique	NOUN
ejpam-6355	74	4	to	to	ADP
ejpam-6355	74	5	the	the	DET
ejpam-6355	74	6	problem	problem	NOUN
ejpam-6355	74	7	in	in	ADP
ejpam-6355	74	8	eq	eq	NOUN
ejpam-6355	74	9	(	(	PUNCT
ejpam-6355	74	10	1	1	NUM
ejpam-6355	74	11	)	)	PUNCT
ejpam-6355	74	12	yields	yield	VERB
ejpam-6355	74	13	the	the	DET
ejpam-6355	74	14	following	follow	VERB
ejpam-6355	74	15	solution	solution	NOUN
ejpam-6355	74	16	.	.	PUNCT
ejpam-6355	75	1	u(t	u(t	NOUN
ejpam-6355	75	2	)	)	PUNCT
ejpam-6355	76	1	=	=	PUNCT
ejpam-6355	76	2	u0	u0	ADJ
ejpam-6355	76	3	+	+	NOUN
ejpam-6355	76	4	1	1	NUM
ejpam-6355	76	5	λ1	λ1	ADJ
ejpam-6355	76	6	[	[	PUNCT
ejpam-6355	76	7	λ2(u(−σ	λ2(u(−σ	NOUN
ejpam-6355	76	8	)	)	PUNCT
ejpam-6355	76	9	−	−	PROPN
ejpam-6355	76	10	u(t−	u(t−	PROPN
ejpam-6355	76	11	σ	σ	PROPN
ejpam-6355	76	12	)	)	PUNCT
ejpam-6355	76	13	)	)	PUNCT
ejpam-6355	77	1	+	+	CCONJ
ejpam-6355	77	2	∫	∫	PROPN
ejpam-6355	77	3	t	t	NOUN
ejpam-6355	77	4	0	0	NUM
ejpam-6355	77	5	λ3f(τ	λ3f(τ	NOUN
ejpam-6355	77	6	)	)	PUNCT
ejpam-6355	77	7	dτ	dτ	NOUN
ejpam-6355	78	1	+	+	CCONJ
ejpam-6355	78	2	∫	∫	PROPN
ejpam-6355	78	3	t	t	PROPN
ejpam-6355	78	4	0	0	NUM
ejpam-6355	78	5	λ4u(τ	λ4u(τ	ADJ
ejpam-6355	78	6	)	)	PUNCT
ejpam-6355	78	7	dτ	dτ	NOUN
ejpam-6355	79	1	+	+	CCONJ
ejpam-6355	79	2	∫	∫	PROPN
ejpam-6355	79	3	t	t	PROPN
ejpam-6355	79	4	0	0	NUM
ejpam-6355	79	5	λ5u(τ	λ5u(τ	PROPN
ejpam-6355	79	6	−	−	PROPN
ejpam-6355	79	7	σ	σ	PROPN
ejpam-6355	79	8	)	)	PUNCT
ejpam-6355	79	9	dτ	dτ	PROPN
ejpam-6355	80	1	+	+	CCONJ
ejpam-6355	80	2	∫	∫	PROPN
ejpam-6355	80	3	t	t	PROPN
ejpam-6355	80	4	0	0	NUM
ejpam-6355	80	5	∫	∫	PROPN
ejpam-6355	80	6	τ	τ	PROPN
ejpam-6355	80	7	0	0	X
ejpam-6355	80	8	k(x	k(x	PROPN
ejpam-6355	80	9	,	,	PUNCT
ejpam-6355	80	10	τ	τ	X
ejpam-6355	80	11	)	)	PUNCT
ejpam-6355	80	12	(	(	PUNCT
ejpam-6355	80	13	λ6u(x	λ6u(x	PROPN
ejpam-6355	80	14	)	)	PUNCT
ejpam-6355	80	15	+	+	CCONJ
ejpam-6355	80	16	λ7u(x−	λ7u(x−	PROPN
ejpam-6355	80	17	σ	σ	PROPN
ejpam-6355	80	18	)	)	PUNCT
ejpam-6355	80	19	)	)	PUNCT
ejpam-6355	81	1	dx	dx	PROPN
ejpam-6355	81	2	dτ	dτ	INTJ
ejpam-6355	81	3	]	]	PUNCT
ejpam-6355	81	4	.	.	PUNCT
ejpam-6355	82	1	now	now	ADV
ejpam-6355	82	2	,	,	PUNCT
ejpam-6355	82	3	we	we	PRON
ejpam-6355	82	4	consider	consider	VERB
ejpam-6355	82	5	the	the	DET
ejpam-6355	82	6	operator	operator	NOUN
ejpam-6355	82	7	t	t	PROPN
ejpam-6355	82	8	:	:	PUNCT
ejpam-6355	82	9	c([0	c([0	NOUN
ejpam-6355	82	10	,	,	PUNCT
ejpam-6355	82	11	1	1	NUM
ejpam-6355	82	12	]	]	PUNCT
ejpam-6355	82	13	)	)	PUNCT
ejpam-6355	82	14	→	→	SYM
ejpam-6355	82	15	c([0	c([0	PROPN
ejpam-6355	82	16	,	,	PUNCT
ejpam-6355	82	17	1	1	NUM
ejpam-6355	82	18	]	]	NUM
ejpam-6355	82	19	)	)	PUNCT
ejpam-6355	82	20	,	,	PUNCT
ejpam-6355	82	21	defined	define	VERB
ejpam-6355	82	22	by	by	ADP
ejpam-6355	82	23	:	:	PUNCT
ejpam-6355	82	24	(	(	PUNCT
ejpam-6355	82	25	tu)(t	tu)(t	PROPN
ejpam-6355	82	26	)	)	PUNCT
ejpam-6355	82	27	=	=	PUNCT
ejpam-6355	82	28	u0	u0	ADJ
ejpam-6355	82	29	+	+	CCONJ
ejpam-6355	82	30	λ2	λ2	NOUN
ejpam-6355	82	31	λ1	λ1	ADJ
ejpam-6355	82	32	u(−σ	u(−σ	NOUN
ejpam-6355	82	33	)	)	PUNCT
ejpam-6355	83	1	+	+	NUM
ejpam-6355	83	2	λ2	λ2	NOUN
ejpam-6355	83	3	λ1	λ1	PROPN
ejpam-6355	83	4	u(t−	u(t−	PROPN
ejpam-6355	83	5	σ	σ	PROPN
ejpam-6355	83	6	)	)	PUNCT
ejpam-6355	83	7	+	+	CCONJ
ejpam-6355	84	1	λ3	λ3	PROPN
ejpam-6355	84	2	λ1	λ1	ADJ
ejpam-6355	84	3	∫	∫	PROPN
ejpam-6355	84	4	t	t	PROPN
ejpam-6355	84	5	0	0	NUM
ejpam-6355	84	6	f(s)ds+	f(s)ds+	PROPN
ejpam-6355	84	7	λ4	λ4	PROPN
ejpam-6355	84	8	λ1	λ1	PROPN
ejpam-6355	84	9	∫	∫	PROPN
ejpam-6355	84	10	t	t	PROPN
ejpam-6355	84	11	0	0	NUM
ejpam-6355	84	12	u(s)ds+	u(s)ds+	PROPN
ejpam-6355	84	13	λ5	λ5	NOUN
ejpam-6355	84	14	λ1	λ1	ADJ
ejpam-6355	84	15	∫	∫	PROPN
ejpam-6355	84	16	t	t	PROPN
ejpam-6355	84	17	0	0	NUM
ejpam-6355	84	18	u(s−	u(s−	PROPN
ejpam-6355	85	1	σ)ds	σ)ds	PROPN
ejpam-6355	85	2	+	+	NUM
ejpam-6355	85	3	λ6	λ6	PROPN
ejpam-6355	85	4	λ1	λ1	PROPN
ejpam-6355	85	5	∫	∫	PROPN
ejpam-6355	85	6	t	t	PROPN
ejpam-6355	85	7	0	0	NUM
ejpam-6355	86	1	(	(	PUNCT
ejpam-6355	86	2	∫	∫	PROPN
ejpam-6355	86	3	s	s	PART
ejpam-6355	86	4	0	0	NUM
ejpam-6355	86	5	k(x	k(x	PROPN
ejpam-6355	86	6	,	,	PUNCT
ejpam-6355	86	7	s)u(x)dx	s)u(x)dx	ADJ
ejpam-6355	86	8	)	)	PUNCT
ejpam-6355	86	9	ds+	ds+	PROPN
ejpam-6355	87	1	λ7	λ7	PROPN
ejpam-6355	87	2	λ1	λ1	PROPN
ejpam-6355	87	3	∫	∫	PROPN
ejpam-6355	87	4	t	t	PROPN
ejpam-6355	87	5	0	0	NUM
ejpam-6355	88	1	(	(	PUNCT
ejpam-6355	88	2	∫	∫	PROPN
ejpam-6355	88	3	s	s	PART
ejpam-6355	88	4	0	0	NUM
ejpam-6355	88	5	k(x	k(x	PROPN
ejpam-6355	88	6	,	,	PUNCT
ejpam-6355	88	7	s)u(x−	s)u(x−	NOUN
ejpam-6355	88	8	σ)dx	σ)dx	PROPN
ejpam-6355	88	9	)	)	PUNCT
ejpam-6355	88	10	ds	ds	NOUN
ejpam-6355	88	11	,	,	PUNCT
ejpam-6355	88	12	for	for	ADP
ejpam-6355	88	13	all	all	DET
ejpam-6355	88	14	t	t	NOUN
ejpam-6355	88	15	∈	∈	PROPN
ejpam-6355	89	1	[	[	X
ejpam-6355	89	2	0	0	NUM
ejpam-6355	89	3	,	,	PUNCT
ejpam-6355	89	4	1	1	NUM
ejpam-6355	89	5	]	]	PUNCT
ejpam-6355	89	6	and	and	CCONJ
ejpam-6355	89	7	u	u	PROPN
ejpam-6355	89	8	∈	∈	PROPN
ejpam-6355	89	9	c([0	c([0	NOUN
ejpam-6355	89	10	,	,	PUNCT
ejpam-6355	89	11	1	1	NUM
ejpam-6355	89	12	]	]	NUM
ejpam-6355	89	13	)	)	PUNCT
ejpam-6355	89	14	,	,	PUNCT
ejpam-6355	89	15	where	where	SCONJ
ejpam-6355	89	16	u(t	u(t	NOUN
ejpam-6355	89	17	)	)	PUNCT
ejpam-6355	89	18	=	=	SYM
ejpam-6355	90	1	ϕ(t	ϕ(t	NUM
ejpam-6355	90	2	)	)	PUNCT
ejpam-6355	90	3	,	,	PUNCT
ejpam-6355	90	4	for	for	ADP
ejpam-6355	90	5	t	t	PROPN
ejpam-6355	90	6	∈	∈	PROPN
ejpam-6355	91	1	[	[	X
ejpam-6355	91	2	−σ	−σ	NOUN
ejpam-6355	91	3	,	,	PUNCT
ejpam-6355	91	4	0	0	NUM
ejpam-6355	91	5	]	]	PUNCT
ejpam-6355	91	6	.	.	PUNCT
ejpam-6355	92	1	lemma	lemma	PROPN
ejpam-6355	92	2	1	1	NUM
ejpam-6355	92	3	.	.	PUNCT
ejpam-6355	93	1	a	a	DET
ejpam-6355	93	2	function	function	NOUN
ejpam-6355	93	3	u	u	PROPN
ejpam-6355	93	4	∈	∈	PROPN
ejpam-6355	93	5	c([0	c([0	NOUN
ejpam-6355	93	6	,	,	PUNCT
ejpam-6355	93	7	1	1	NUM
ejpam-6355	93	8	]	]	PUNCT
ejpam-6355	93	9	)	)	PUNCT
ejpam-6355	93	10	is	be	AUX
ejpam-6355	93	11	a	a	DET
ejpam-6355	93	12	solution	solution	NOUN
ejpam-6355	93	13	to	to	ADP
ejpam-6355	93	14	the	the	DET
ejpam-6355	93	15	integral	integral	ADJ
ejpam-6355	93	16	equation	equation	NOUN
ejpam-6355	93	17	u	u	NOUN
ejpam-6355	93	18	=	=	PROPN
ejpam-6355	93	19	tu	tu	PROPN
ejpam-6355	93	20	if	if	SCONJ
ejpam-6355	93	21	and	and	CCONJ
ejpam-6355	93	22	only	only	ADV
ejpam-6355	93	23	if	if	SCONJ
ejpam-6355	93	24	u	u	PROPN
ejpam-6355	93	25	∈	∈	PROPN
ejpam-6355	93	26	c1([0	c1([0	PROPN
ejpam-6355	93	27	,	,	PUNCT
ejpam-6355	93	28	1	1	NUM
ejpam-6355	93	29	]	]	PUNCT
ejpam-6355	93	30	)	)	PUNCT
ejpam-6355	93	31	and	and	CCONJ
ejpam-6355	93	32	satisfies	satisfy	VERB
ejpam-6355	93	33	the	the	DET
ejpam-6355	93	34	dvide	dvide	NOUN
ejpam-6355	93	35	in	in	ADP
ejpam-6355	93	36	eq.(1	eq.(1	ADJ
ejpam-6355	93	37	)	)	PUNCT
ejpam-6355	93	38	with	with	ADP
ejpam-6355	93	39	the	the	DET
ejpam-6355	93	40	initial	initial	ADJ
ejpam-6355	93	41	condition	condition	NOUN
ejpam-6355	93	42	u(t	u(t	NOUN
ejpam-6355	93	43	)	)	PUNCT
ejpam-6355	93	44	=	=	PUNCT
ejpam-6355	93	45	ϕ(t	ϕ(t	NUM
ejpam-6355	93	46	)	)	PUNCT
ejpam-6355	93	47	for	for	ADP
ejpam-6355	93	48	t	t	PROPN
ejpam-6355	93	49	∈	∈	PROPN
ejpam-6355	94	1	[	[	X
ejpam-6355	94	2	−σ	−σ	NOUN
ejpam-6355	94	3	,	,	PUNCT
ejpam-6355	94	4	0	0	NUM
ejpam-6355	94	5	]	]	PUNCT
ejpam-6355	94	6	.	.	PUNCT
ejpam-6355	95	1	proof	proof	NOUN
ejpam-6355	95	2	.	.	PUNCT
ejpam-6355	96	1	suppose	suppose	VERB
ejpam-6355	96	2	u	u	PRON
ejpam-6355	96	3	∈	∈	PROPN
ejpam-6355	96	4	c([0	c([0	NOUN
ejpam-6355	96	5	,	,	PUNCT
ejpam-6355	96	6	1	1	NUM
ejpam-6355	96	7	]	]	PUNCT
ejpam-6355	96	8	)	)	PUNCT
ejpam-6355	96	9	satisfies	satisfy	VERB
ejpam-6355	96	10	u	u	PROPN
ejpam-6355	96	11	=	=	PROPN
ejpam-6355	96	12	tu	tu	AUX
ejpam-6355	96	13	.	.	PUNCT
ejpam-6355	96	14	substituting	substitute	VERB
ejpam-6355	96	15	u(t	u(t	NOUN
ejpam-6355	96	16	)	)	PUNCT
ejpam-6355	96	17	=	=	SYM
ejpam-6355	97	1	ϕ(t	ϕ(t	NUM
ejpam-6355	97	2	)	)	PUNCT
ejpam-6355	98	1	for	for	ADP
ejpam-6355	98	2	t	t	PROPN
ejpam-6355	98	3	∈	∈	PROPN
ejpam-6355	99	1	[	[	X
ejpam-6355	99	2	−σ	−σ	NOUN
ejpam-6355	99	3	,	,	PUNCT
ejpam-6355	99	4	0	0	NUM
ejpam-6355	99	5	]	]	PUNCT
ejpam-6355	99	6	,	,	PUNCT
ejpam-6355	99	7	the	the	DET
ejpam-6355	99	8	integral	integral	ADJ
ejpam-6355	99	9	equation	equation	NOUN
ejpam-6355	99	10	matches	match	VERB
ejpam-6355	99	11	the	the	DET
ejpam-6355	99	12	form	form	NOUN
ejpam-6355	99	13	obtained	obtain	VERB
ejpam-6355	99	14	by	by	ADP
ejpam-6355	99	15	integrating	integrate	VERB
ejpam-6355	99	16	eq.(1	eq.(1	ADJ
ejpam-6355	99	17	)	)	PUNCT
ejpam-6355	99	18	.	.	PUNCT
ejpam-6355	100	1	if	if	SCONJ
ejpam-6355	100	2	u	u	PROPN
ejpam-6355	100	3	∈	∈	PROPN
ejpam-6355	100	4	c1([0	c1([0	PROPN
ejpam-6355	100	5	,	,	PUNCT
ejpam-6355	100	6	1	1	NUM
ejpam-6355	100	7	]	]	NUM
ejpam-6355	100	8	)	)	PUNCT
ejpam-6355	100	9	,	,	PUNCT
ejpam-6355	100	10	differentiate	differentiate	VERB
ejpam-6355	100	11	both	both	DET
ejpam-6355	100	12	sides	side	NOUN
ejpam-6355	100	13	of	of	ADP
ejpam-6355	100	14	the	the	DET
ejpam-6355	100	15	integral	integral	ADJ
ejpam-6355	100	16	equation	equation	NOUN
ejpam-6355	100	17	with	with	ADP
ejpam-6355	100	18	respect	respect	NOUN
ejpam-6355	100	19	to	to	ADP
ejpam-6355	100	20	t.	t.	NOUN
ejpam-6355	100	21	using	use	VERB
ejpam-6355	100	22	the	the	DET
ejpam-6355	100	23	fundamental	fundamental	ADJ
ejpam-6355	100	24	theorem	theorem	NOUN
ejpam-6355	100	25	of	of	ADP
ejpam-6355	100	26	calculus	calculus	NOUN
ejpam-6355	100	27	and	and	CCONJ
ejpam-6355	100	28	the	the	DET
ejpam-6355	100	29	continuity	continuity	NOUN
ejpam-6355	100	30	of	of	ADP
ejpam-6355	100	31	k	k	PROPN
ejpam-6355	100	32	,	,	PUNCT
ejpam-6355	100	33	we	we	PRON
ejpam-6355	100	34	recover	recover	VERB
ejpam-6355	100	35	eq.(1	eq.(1	ADJ
ejpam-6355	100	36	):	):	PUNCT
ejpam-6355	100	37	λ1	λ1	PROPN
ejpam-6355	100	38	du(t	du(t	NOUN
ejpam-6355	100	39	)	)	PUNCT
ejpam-6355	100	40	dt	dt	X
ejpam-6355	101	1	+	+	PUNCT
ejpam-6355	101	2	λ2	λ2	PROPN
ejpam-6355	101	3	du(t−	du(t−	SYM
ejpam-6355	101	4	σ	σ	NOUN
ejpam-6355	101	5	)	)	PUNCT
ejpam-6355	101	6	dt	dt	NOUN
ejpam-6355	102	1	=	=	PUNCT
ejpam-6355	103	1	λ3f(t)+λ4u(t)+λ5u(t−σ)+	λ3f(t)+λ4u(t)+λ5u(t−σ)+	PROPN
ejpam-6355	103	2	∫	∫	PROPN
ejpam-6355	103	3	t	t	PROPN
ejpam-6355	103	4	0	0	NUM
ejpam-6355	103	5	k(t	k(t	NOUN
ejpam-6355	103	6	,	,	PUNCT
ejpam-6355	103	7	x	x	X
ejpam-6355	103	8	)	)	PUNCT
ejpam-6355	103	9	(	(	PUNCT
ejpam-6355	103	10	λ6u(x	λ6u(x	PROPN
ejpam-6355	103	11	)	)	PUNCT
ejpam-6355	103	12	+	+	CCONJ
ejpam-6355	103	13	λ7u(x−	λ7u(x−	PROPN
ejpam-6355	103	14	σ	σ	PROPN
ejpam-6355	103	15	)	)	PUNCT
ejpam-6355	103	16	)	)	PUNCT
ejpam-6355	103	17	dx	dx	PROPN
ejpam-6355	103	18	.	.	PUNCT
ejpam-6355	104	1	in	in	ADP
ejpam-6355	104	2	contrast	contrast	NOUN
ejpam-6355	104	3	,	,	PUNCT
ejpam-6355	104	4	if	if	SCONJ
ejpam-6355	104	5	u	u	PROPN
ejpam-6355	104	6	∈	∈	PROPN
ejpam-6355	104	7	c1([0	c1([0	PROPN
ejpam-6355	104	8	,	,	PUNCT
ejpam-6355	104	9	1	1	NUM
ejpam-6355	104	10	]	]	PUNCT
ejpam-6355	104	11	)	)	PUNCT
ejpam-6355	104	12	satisfies	satisfie	NOUN
ejpam-6355	104	13	eq.(1	eq.(1	ADJ
ejpam-6355	104	14	)	)	PUNCT
ejpam-6355	104	15	,	,	PUNCT
ejpam-6355	104	16	integrating	integrate	VERB
ejpam-6355	104	17	both	both	DET
ejpam-6355	104	18	sides	side	NOUN
ejpam-6355	104	19	from	from	ADP
ejpam-6355	104	20	0	0	NUM
ejpam-6355	104	21	to	to	ADP
ejpam-6355	104	22	t	t	PROPN
ejpam-6355	104	23	and	and	CCONJ
ejpam-6355	104	24	applying	apply	VERB
ejpam-6355	104	25	the	the	DET
ejpam-6355	104	26	initial	initial	ADJ
ejpam-6355	104	27	condition	condition	NOUN
ejpam-6355	104	28	u(0	u(0	NOUN
ejpam-6355	104	29	)	)	PUNCT
ejpam-6355	104	30	=	=	SYM
ejpam-6355	104	31	u0	u0	ADJ
ejpam-6355	104	32	yields	yield	VERB
ejpam-6355	104	33	the	the	DET
ejpam-6355	104	34	integral	integral	ADJ
ejpam-6355	104	35	equation	equation	NOUN
ejpam-6355	104	36	.	.	PUNCT
ejpam-6355	105	1	thus	thus	ADV
ejpam-6355	105	2	,	,	PUNCT
ejpam-6355	105	3	the	the	DET
ejpam-6355	105	4	solutions	solution	NOUN
ejpam-6355	105	5	c1([0	c1([0	NOUN
ejpam-6355	105	6	,	,	PUNCT
ejpam-6355	105	7	1	1	NUM
ejpam-6355	105	8	]	]	PUNCT
ejpam-6355	105	9	)	)	PUNCT
ejpam-6355	105	10	in	in	ADP
ejpam-6355	105	11	the	the	DET
ejpam-6355	105	12	dvide	dvide	NOUN
ejpam-6355	105	13	correspond	correspond	NOUN
ejpam-6355	105	14	to	to	ADP
ejpam-6355	105	15	the	the	DET
ejpam-6355	105	16	solutions	solution	NOUN
ejpam-6355	105	17	in	in	ADP
ejpam-6355	105	18	c([0	c([0	NOUN
ejpam-6355	105	19	,	,	PUNCT
ejpam-6355	105	20	1	1	NUM
ejpam-6355	105	21	]	]	PUNCT
ejpam-6355	105	22	)	)	PUNCT
ejpam-6355	105	23	to	to	ADP
ejpam-6355	105	24	the	the	DET
ejpam-6355	105	25	integral	integral	ADJ
ejpam-6355	105	26	equation	equation	NOUN
ejpam-6355	105	27	that	that	PRON
ejpam-6355	105	28	are	be	AUX
ejpam-6355	105	29	differentiable	differentiable	ADJ
ejpam-6355	105	30	.	.	PUNCT
ejpam-6355	106	1	kamran	kamran	PROPN
ejpam-6355	106	2	et	et	PROPN
ejpam-6355	106	3	al	al	PROPN
ejpam-6355	106	4	.	.	PUNCT
ejpam-6355	106	5	/	/	SYM
ejpam-6355	106	6	eur	eur	PROPN
ejpam-6355	106	7	.	.	PUNCT
ejpam-6355	107	1	j.	j.	PROPN
ejpam-6355	107	2	pure	pure	PROPN
ejpam-6355	107	3	appl	appl	PROPN
ejpam-6355	107	4	.	.	PROPN
ejpam-6355	107	5	math	math	PROPN
ejpam-6355	107	6	,	,	PUNCT
ejpam-6355	107	7	18	18	NUM
ejpam-6355	107	8	(	(	PUNCT
ejpam-6355	107	9	3	3	NUM
ejpam-6355	107	10	)	)	PUNCT
ejpam-6355	107	11	(	(	PUNCT
ejpam-6355	107	12	2025	2025	NUM
ejpam-6355	107	13	)	)	PUNCT
ejpam-6355	107	14	,	,	PUNCT
ejpam-6355	107	15	6355	6355	NUM
ejpam-6355	107	16	5	5	NUM
ejpam-6355	107	17	of	of	ADP
ejpam-6355	107	18	22	22	NUM
ejpam-6355	107	19	theorem	theorem	NOUN
ejpam-6355	107	20	2	2	NUM
ejpam-6355	107	21	.	.	PUNCT
ejpam-6355	108	1	the	the	DET
ejpam-6355	108	2	problem	problem	NOUN
ejpam-6355	108	3	defined	define	VERB
ejpam-6355	108	4	in	in	ADP
ejpam-6355	108	5	eq	eq	NOUN
ejpam-6355	108	6	(	(	PUNCT
ejpam-6355	108	7	1	1	NUM
ejpam-6355	108	8	)	)	PUNCT
ejpam-6355	108	9	has	have	VERB
ejpam-6355	108	10	at	at	ADV
ejpam-6355	108	11	least	least	ADJ
ejpam-6355	108	12	one	one	NUM
ejpam-6355	108	13	solution	solution	NOUN
ejpam-6355	108	14	.	.	PUNCT
ejpam-6355	109	1	proof	proof	NOUN
ejpam-6355	109	2	.	.	PUNCT
ejpam-6355	110	1	the	the	DET
ejpam-6355	110	2	proof	proof	NOUN
ejpam-6355	110	3	involves	involve	VERB
ejpam-6355	110	4	several	several	ADJ
ejpam-6355	110	5	steps	step	NOUN
ejpam-6355	110	6	.	.	PUNCT
ejpam-6355	111	1	step	step	NOUN
ejpam-6355	111	2	1	1	NUM
ejpam-6355	111	3	:	:	PUNCT
ejpam-6355	111	4	continuity	continuity	NOUN
ejpam-6355	111	5	of	of	ADP
ejpam-6355	111	6	the	the	DET
ejpam-6355	111	7	operator	operator	NOUN
ejpam-6355	111	8	t	t	NOUN
ejpam-6355	111	9	for	for	ADP
ejpam-6355	111	10	any	any	DET
ejpam-6355	111	11	continuous	continuous	ADJ
ejpam-6355	111	12	function	function	NOUN
ejpam-6355	111	13	u	u	NOUN
ejpam-6355	111	14	,	,	PUNCT
ejpam-6355	111	15	tu	tu	PROPN
ejpam-6355	111	16	is	be	AUX
ejpam-6355	111	17	also	also	ADV
ejpam-6355	111	18	continuous	continuous	ADJ
ejpam-6355	111	19	.	.	PUNCT
ejpam-6355	112	1	indeed	indeed	ADV
ejpam-6355	112	2	,	,	PUNCT
ejpam-6355	112	3	consider	consider	VERB
ejpam-6355	112	4	un	un	ADJ
ejpam-6355	112	5	,	,	PUNCT
ejpam-6355	112	6	u	u	PROPN
ejpam-6355	112	7	∈	∈	PROPN
ejpam-6355	112	8	c([0	c([0	NOUN
ejpam-6355	112	9	,	,	PUNCT
ejpam-6355	112	10	1	1	NUM
ejpam-6355	112	11	]	]	NUM
ejpam-6355	112	12	)	)	PUNCT
ejpam-6355	112	13	.	.	PUNCT
ejpam-6355	113	1	we	we	PRON
ejpam-6355	113	2	have	have	VERB
ejpam-6355	113	3	|tun(t	|tun(t	NOUN
ejpam-6355	113	4	)	)	PUNCT
ejpam-6355	113	5	−	−	PROPN
ejpam-6355	114	1	tu(t)|	tu(t)|	NOUN
ejpam-6355	114	2	=	=	SYM
ejpam-6355	114	3	∣∣∣∣∣λ2λ1	∣∣∣∣∣λ2λ1	ADJ
ejpam-6355	114	4	(	(	PUNCT
ejpam-6355	114	5	un(−σ	un(−σ	PROPN
ejpam-6355	114	6	)	)	PUNCT
ejpam-6355	114	7	−	−	NOUN
ejpam-6355	114	8	u(−σ	u(−σ	NOUN
ejpam-6355	114	9	)	)	PUNCT
ejpam-6355	114	10	)	)	PUNCT
ejpam-6355	115	1	+	+	CCONJ
ejpam-6355	115	2	λ2	λ2	NOUN
ejpam-6355	115	3	λ1	λ1	ADJ
ejpam-6355	115	4	(	(	PUNCT
ejpam-6355	115	5	un(t−	un(t−	NOUN
ejpam-6355	115	6	σ	σ	NOUN
ejpam-6355	115	7	)	)	PUNCT
ejpam-6355	115	8	−	−	PROPN
ejpam-6355	115	9	u(t−	u(t−	PROPN
ejpam-6355	115	10	σ	σ	PROPN
ejpam-6355	115	11	)	)	PUNCT
ejpam-6355	115	12	)	)	PUNCT
ejpam-6355	116	1	+	+	CCONJ
ejpam-6355	117	1	λ4	λ4	ADJ
ejpam-6355	117	2	λ1	λ1	PROPN
ejpam-6355	117	3	∫	∫	PROPN
ejpam-6355	117	4	t	t	PROPN
ejpam-6355	117	5	0	0	NUM
ejpam-6355	117	6	(	(	PUNCT
ejpam-6355	117	7	un(s	un(s	NUM
ejpam-6355	117	8	)	)	PUNCT
ejpam-6355	117	9	−	−	PROPN
ejpam-6355	117	10	u(s	u(s	PROPN
ejpam-6355	117	11	)	)	PUNCT
ejpam-6355	117	12	)	)	PUNCT
ejpam-6355	118	1	ds	ds	NOUN
ejpam-6355	118	2	+	+	CCONJ
ejpam-6355	118	3	λ5	λ5	NOUN
ejpam-6355	118	4	λ1	λ1	ADJ
ejpam-6355	118	5	∫	∫	PROPN
ejpam-6355	118	6	t	t	PROPN
ejpam-6355	118	7	0	0	NUM
ejpam-6355	119	1	(	(	PUNCT
ejpam-6355	119	2	un(s−	un(s−	PROPN
ejpam-6355	119	3	σ	σ	NOUN
ejpam-6355	119	4	)	)	PUNCT
ejpam-6355	119	5	−	−	PROPN
ejpam-6355	119	6	u(s−	u(s−	PROPN
ejpam-6355	119	7	σ	σ	PROPN
ejpam-6355	119	8	)	)	PUNCT
ejpam-6355	119	9	)	)	PUNCT
ejpam-6355	120	1	ds+	ds+	PROPN
ejpam-6355	120	2	λ6	λ6	PROPN
ejpam-6355	120	3	λ1	λ1	PROPN
ejpam-6355	120	4	∫	∫	PROPN
ejpam-6355	120	5	t	t	PROPN
ejpam-6355	120	6	0	0	NUM
ejpam-6355	121	1	(	(	PUNCT
ejpam-6355	121	2	∫	∫	PROPN
ejpam-6355	121	3	s	s	PART
ejpam-6355	121	4	0	0	NUM
ejpam-6355	121	5	k(x	k(x	PROPN
ejpam-6355	121	6	,	,	PUNCT
ejpam-6355	121	7	s	s	AUX
ejpam-6355	121	8	)	)	PUNCT
ejpam-6355	121	9	(	(	PUNCT
ejpam-6355	121	10	un(x	un(x	X
ejpam-6355	121	11	)	)	PUNCT
ejpam-6355	121	12	−	−	NOUN
ejpam-6355	121	13	u(x	u(x	PROPN
ejpam-6355	121	14	)	)	PUNCT
ejpam-6355	121	15	)	)	PUNCT
ejpam-6355	122	1	dx	dx	PROPN
ejpam-6355	122	2	)	)	PUNCT
ejpam-6355	123	1	ds	ds	PROPN
ejpam-6355	123	2	+	+	CCONJ
ejpam-6355	123	3	λ7	λ7	PROPN
ejpam-6355	123	4	λ1	λ1	PROPN
ejpam-6355	123	5	∫	∫	PROPN
ejpam-6355	123	6	t	t	PROPN
ejpam-6355	123	7	0	0	NUM
ejpam-6355	124	1	(	(	PUNCT
ejpam-6355	124	2	∫	∫	PROPN
ejpam-6355	124	3	s	s	PART
ejpam-6355	124	4	0	0	NUM
ejpam-6355	124	5	k(x	k(x	PROPN
ejpam-6355	124	6	,	,	PUNCT
ejpam-6355	124	7	s	s	AUX
ejpam-6355	124	8	)	)	PUNCT
ejpam-6355	124	9	(	(	PUNCT
ejpam-6355	124	10	un(x−	un(x−	PROPN
ejpam-6355	124	11	σ	σ	PROPN
ejpam-6355	124	12	)	)	PUNCT
ejpam-6355	124	13	−	−	PROPN
ejpam-6355	124	14	u(x−	u(x−	PROPN
ejpam-6355	124	15	σ	σ	PROPN
ejpam-6355	124	16	)	)	PUNCT
ejpam-6355	124	17	)	)	PUNCT
ejpam-6355	124	18	dx	dx	PROPN
ejpam-6355	124	19	)	)	PUNCT
ejpam-6355	125	1	ds	ds	ADP
ejpam-6355	125	2	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-6355	125	3	≤	≤	ADJ
ejpam-6355	125	4	λ2	λ2	NOUN
ejpam-6355	125	5	λ1	λ1	PROPN
ejpam-6355	125	6	|un(−σ	|un(−σ	PROPN
ejpam-6355	125	7	)	)	PUNCT
ejpam-6355	125	8	−	−	NOUN
ejpam-6355	125	9	u(−σ)|	u(−σ)|	X
ejpam-6355	126	1	+	+	NUM
ejpam-6355	126	2	λ2	λ2	NOUN
ejpam-6355	126	3	λ1	λ1	PROPN
ejpam-6355	126	4	|un(t−	|un(t−	PROPN
ejpam-6355	126	5	σ	σ	PROPN
ejpam-6355	126	6	)	)	PUNCT
ejpam-6355	126	7	−	−	PROPN
ejpam-6355	127	1	u(t−	u(t−	INTJ
ejpam-6355	128	1	σ)|	σ)|	NOUN
ejpam-6355	128	2	+	+	CCONJ
ejpam-6355	129	1	λ4	λ4	PROPN
ejpam-6355	129	2	λ1	λ1	PROPN
ejpam-6355	129	3	∫	∫	PROPN
ejpam-6355	129	4	t	t	PROPN
ejpam-6355	129	5	0	0	NUM
ejpam-6355	129	6	|un(s	|un(s	NOUN
ejpam-6355	129	7	)	)	PUNCT
ejpam-6355	129	8	−	−	NOUN
ejpam-6355	129	9	u(s)|ds	u(s)|ds	NOUN
ejpam-6355	129	10	+	+	CCONJ
ejpam-6355	129	11	λ5	λ5	PROPN
ejpam-6355	129	12	λ1	λ1	ADJ
ejpam-6355	129	13	∫	∫	PROPN
ejpam-6355	129	14	t	t	PROPN
ejpam-6355	129	15	0	0	NUM
ejpam-6355	130	1	|un(s−	|un(s−	PROPN
ejpam-6355	130	2	σ	σ	PROPN
ejpam-6355	130	3	)	)	PUNCT
ejpam-6355	130	4	−	−	PROPN
ejpam-6355	130	5	u(s−	u(s−	PROPN
ejpam-6355	130	6	σ)|ds+	σ)|ds+	PUNCT
ejpam-6355	130	7	λ6	λ6	NOUN
ejpam-6355	130	8	λ1	λ1	PROPN
ejpam-6355	130	9	∫	∫	PROPN
ejpam-6355	130	10	t	t	PROPN
ejpam-6355	130	11	0	0	NUM
ejpam-6355	130	12	(	(	PUNCT
ejpam-6355	130	13	∫	∫	PROPN
ejpam-6355	130	14	s	s	PART
ejpam-6355	130	15	0	0	NUM
ejpam-6355	130	16	(	(	PUNCT
ejpam-6355	130	17	|k(x	|k(x	PROPN
ejpam-6355	130	18	,	,	PUNCT
ejpam-6355	130	19	s)||un(x	s)||un(x	ADJ
ejpam-6355	130	20	)	)	PUNCT
ejpam-6355	130	21	−	−	PROPN
ejpam-6355	130	22	u(x)|	u(x)|	ADJ
ejpam-6355	130	23	)	)	PUNCT
ejpam-6355	130	24	dx	dx	PROPN
ejpam-6355	130	25	)	)	PUNCT
ejpam-6355	131	1	ds	ds	PROPN
ejpam-6355	131	2	+	+	CCONJ
ejpam-6355	131	3	λ7	λ7	PROPN
ejpam-6355	131	4	λ1	λ1	PROPN
ejpam-6355	131	5	∫	∫	PROPN
ejpam-6355	131	6	t	t	PROPN
ejpam-6355	131	7	0	0	NUM
ejpam-6355	132	1	(	(	PUNCT
ejpam-6355	132	2	∫	∫	PROPN
ejpam-6355	132	3	s	s	PART
ejpam-6355	132	4	0	0	NUM
ejpam-6355	132	5	(	(	PUNCT
ejpam-6355	132	6	|k(x	|k(x	PROPN
ejpam-6355	132	7	,	,	PUNCT
ejpam-6355	132	8	s)||un(x−	s)||un(x−	PROPN
ejpam-6355	132	9	σ	σ	PROPN
ejpam-6355	132	10	)	)	PUNCT
ejpam-6355	132	11	−	−	PROPN
ejpam-6355	132	12	u(x−	u(x−	PROPN
ejpam-6355	132	13	σ)|	σ)|	PROPN
ejpam-6355	132	14	)	)	PUNCT
ejpam-6355	132	15	dx	dx	PROPN
ejpam-6355	132	16	)	)	PUNCT
ejpam-6355	132	17	ds	ds	PROPN
ejpam-6355	132	18	,	,	PUNCT
ejpam-6355	132	19	taking	take	VERB
ejpam-6355	132	20	the	the	DET
ejpam-6355	132	21	supremum	supremum	ADJ
ejpam-6355	132	22	norm	norm	NOUN
ejpam-6355	132	23	on	on	ADP
ejpam-6355	132	24	both	both	DET
ejpam-6355	132	25	sides	side	NOUN
ejpam-6355	132	26	yields	yield	VERB
ejpam-6355	132	27	:	:	PUNCT
ejpam-6355	133	1	∥tun	∥tun	NUM
ejpam-6355	133	2	−	−	PROPN
ejpam-6355	133	3	tu∥∞	tu∥∞	VERB
ejpam-6355	133	4	≤	≤	ADJ
ejpam-6355	133	5	2λ2	2λ2	NUM
ejpam-6355	133	6	λ1	λ1	ADJ
ejpam-6355	133	7	∥un	∥un	PROPN
ejpam-6355	133	8	−	−	PROPN
ejpam-6355	134	1	u∥∞	u∥∞	PROPN
ejpam-6355	135	1	+	+	CCONJ
ejpam-6355	135	2	λ4	λ4	PROPN
ejpam-6355	135	3	λ1	λ1	PROPN
ejpam-6355	135	4	∫	∫	PROPN
ejpam-6355	135	5	t	t	PROPN
ejpam-6355	135	6	0	0	NUM
ejpam-6355	135	7	∥un	∥un	PROPN
ejpam-6355	135	8	−	−	PROPN
ejpam-6355	135	9	u∥∞ds+	u∥∞ds+	ADJ
ejpam-6355	135	10	λ5	λ5	NOUN
ejpam-6355	135	11	λ1	λ1	ADJ
ejpam-6355	135	12	∫	∫	PROPN
ejpam-6355	135	13	t	t	PROPN
ejpam-6355	135	14	0	0	NUM
ejpam-6355	135	15	∥un	∥un	PROPN
ejpam-6355	135	16	−	−	PROPN
ejpam-6355	136	1	u∥∞ds	u∥∞ds	PROPN
ejpam-6355	137	1	+	+	NUM
ejpam-6355	138	1	λ6	λ6	PROPN
ejpam-6355	139	1	λ1	λ1	PROPN
ejpam-6355	139	2	∫	∫	PROPN
ejpam-6355	139	3	t	t	PROPN
ejpam-6355	139	4	0	0	NUM
ejpam-6355	139	5	(	(	PUNCT
ejpam-6355	139	6	∫	∫	PROPN
ejpam-6355	139	7	s	s	PART
ejpam-6355	139	8	0	0	NUM
ejpam-6355	139	9	(	(	PUNCT
ejpam-6355	139	10	n∥un	n∥un	PROPN
ejpam-6355	139	11	−	−	PROPN
ejpam-6355	139	12	u∥∞	u∥∞	PROPN
ejpam-6355	139	13	)	)	PUNCT
ejpam-6355	139	14	dx	dx	PROPN
ejpam-6355	139	15	)	)	PUNCT
ejpam-6355	139	16	ds+	ds+	PROPN
ejpam-6355	140	1	λ7	λ7	PROPN
ejpam-6355	140	2	λ1	λ1	PROPN
ejpam-6355	140	3	∫	∫	PROPN
ejpam-6355	140	4	t	t	PROPN
ejpam-6355	140	5	0	0	NUM
ejpam-6355	141	1	(	(	PUNCT
ejpam-6355	141	2	∫	∫	PROPN
ejpam-6355	141	3	s	s	PART
ejpam-6355	141	4	0	0	NUM
ejpam-6355	141	5	(	(	PUNCT
ejpam-6355	141	6	n∥un	n∥un	PROPN
ejpam-6355	141	7	−	−	PROPN
ejpam-6355	141	8	u∥∞	u∥∞	PROPN
ejpam-6355	141	9	)	)	PUNCT
ejpam-6355	141	10	dx	dx	PROPN
ejpam-6355	141	11	)	)	PUNCT
ejpam-6355	141	12	ds	ds	PROPN
ejpam-6355	141	13	,	,	PUNCT
ejpam-6355	141	14	where	where	SCONJ
ejpam-6355	141	15	n	n	NOUN
ejpam-6355	141	16	=	=	SYM
ejpam-6355	141	17	max	max	PROPN
ejpam-6355	141	18	|k(x	|k(x	PROPN
ejpam-6355	141	19	,	,	PUNCT
ejpam-6355	141	20	s)|	s)|	NOUN
ejpam-6355	141	21	.	.	PUNCT
ejpam-6355	141	22	simplifying	simplify	VERB
ejpam-6355	141	23	gives	give	VERB
ejpam-6355	141	24	∥tun	∥tun	NUM
ejpam-6355	141	25	−	−	PROPN
ejpam-6355	141	26	tu∥∞	tu∥∞	VERB
ejpam-6355	141	27	≤	≤	NUM
ejpam-6355	141	28	(	(	PUNCT
ejpam-6355	142	1	2λ2	2λ2	NUM
ejpam-6355	142	2	λ1	λ1	ADJ
ejpam-6355	142	3	+	+	CCONJ
ejpam-6355	142	4	λ4	λ4	PROPN
ejpam-6355	142	5	λ1	λ1	NOUN
ejpam-6355	143	1	+	+	CCONJ
ejpam-6355	143	2	λ5	λ5	NOUN
ejpam-6355	143	3	λ1	λ1	VERB
ejpam-6355	143	4	+	+	X
ejpam-6355	143	5	λ6n	λ6n	X
ejpam-6355	143	6	2λ1	2λ1	NUM
ejpam-6355	144	1	+	+	CCONJ
ejpam-6355	144	2	λ7n	λ7n	PROPN
ejpam-6355	144	3	2λ1	2λ1	NUM
ejpam-6355	144	4	)	)	PUNCT
ejpam-6355	144	5	∥un	∥un	PROPN
ejpam-6355	144	6	−	−	PROPN
ejpam-6355	144	7	u∥∞.	u∥∞.	NOUN
ejpam-6355	144	8	since	since	SCONJ
ejpam-6355	144	9	u	u	NOUN
ejpam-6355	144	10	is	be	AUX
ejpam-6355	144	11	continuous	continuous	ADJ
ejpam-6355	144	12	,	,	PUNCT
ejpam-6355	144	13	it	it	PRON
ejpam-6355	144	14	follows	follow	VERB
ejpam-6355	144	15	that	that	SCONJ
ejpam-6355	144	16	∥tun	∥tun	NUM
ejpam-6355	144	17	−	−	NUM
ejpam-6355	144	18	tu∥∞	tu∥∞	PROPN
ejpam-6355	144	19	→	→	SYM
ejpam-6355	144	20	0	0	NUM
ejpam-6355	144	21	as	as	ADP
ejpam-6355	144	22	n→	n→	PROPN
ejpam-6355	144	23	∞.	∞.	PROPN
ejpam-6355	144	24	thus	thus	ADV
ejpam-6355	144	25	,	,	PUNCT
ejpam-6355	144	26	the	the	DET
ejpam-6355	144	27	operator	operator	NOUN
ejpam-6355	144	28	t	t	NOUN
ejpam-6355	144	29	is	be	AUX
ejpam-6355	144	30	continuous	continuous	ADJ
ejpam-6355	144	31	.	.	PUNCT
ejpam-6355	145	1	step	step	NOUN
ejpam-6355	145	2	2	2	NUM
ejpam-6355	145	3	:	:	PUNCT
ejpam-6355	145	4	boundedness	boundedness	NOUN
ejpam-6355	145	5	of	of	ADP
ejpam-6355	145	6	t	t	PROPN
ejpam-6355	145	7	we	we	PRON
ejpam-6355	145	8	show	show	VERB
ejpam-6355	145	9	that	that	SCONJ
ejpam-6355	145	10	the	the	DET
ejpam-6355	145	11	operator	operator	NOUN
ejpam-6355	145	12	maps	map	NOUN
ejpam-6355	145	13	bounded	bound	VERB
ejpam-6355	145	14	sets	set	NOUN
ejpam-6355	145	15	into	into	ADP
ejpam-6355	145	16	bounded	bounded	ADJ
ejpam-6355	145	17	sets	set	NOUN
ejpam-6355	145	18	.	.	PUNCT
ejpam-6355	146	1	for	for	ADP
ejpam-6355	146	2	u	u	NOUN
ejpam-6355	146	3	∈	∈	PROPN
ejpam-6355	146	4	bη1	bη1	NOUN
ejpam-6355	146	5	=	=	PRON
ejpam-6355	146	6	{	{	PUNCT
ejpam-6355	146	7	u	u	NOUN
ejpam-6355	146	8	∈	∈	PROPN
ejpam-6355	146	9	c([0	c([0	NOUN
ejpam-6355	146	10	,	,	PUNCT
ejpam-6355	146	11	1	1	NUM
ejpam-6355	146	12	]	]	PUNCT
ejpam-6355	146	13	)	)	PUNCT
ejpam-6355	146	14	:	:	PUNCT
ejpam-6355	146	15	∥u∥∞	∥u∥∞	X
ejpam-6355	146	16	≤	≤	NUM
ejpam-6355	146	17	η1	η1	NOUN
ejpam-6355	146	18	}	}	PUNCT
ejpam-6355	146	19	,	,	PUNCT
ejpam-6355	146	20	we	we	PRON
ejpam-6355	146	21	have	have	VERB
ejpam-6355	146	22	|tu(t)|	|tu(t)|	VERB
ejpam-6355	146	23	≤	≤	NOUN
ejpam-6355	146	24	|u0|	|u0|	VERB
ejpam-6355	147	1	+	+	CCONJ
ejpam-6355	147	2	λ2	λ2	NOUN
ejpam-6355	147	3	λ1	λ1	ADJ
ejpam-6355	147	4	|u(−σ)|	|u(−σ)|	NOUN
ejpam-6355	147	5	+	+	SYM
ejpam-6355	147	6	λ2	λ2	PROPN
ejpam-6355	147	7	λ1	λ1	INTJ
ejpam-6355	148	1	|u(t−	|u(t−	NOUN
ejpam-6355	148	2	σ)|	σ)|	NOUN
ejpam-6355	148	3	+	+	PROPN
ejpam-6355	148	4	λ3	λ3	PROPN
ejpam-6355	149	1	λ1	λ1	ADJ
ejpam-6355	149	2	∫	∫	PROPN
ejpam-6355	149	3	t	t	PROPN
ejpam-6355	149	4	0	0	NUM
ejpam-6355	149	5	|f(s)|ds+	|f(s)|ds+	PROPN
ejpam-6355	150	1	λ4	λ4	PROPN
ejpam-6355	150	2	λ1	λ1	PROPN
ejpam-6355	150	3	∫	∫	PROPN
ejpam-6355	150	4	t	t	PROPN
ejpam-6355	150	5	0	0	NUM
ejpam-6355	150	6	|u(s)|ds+	|u(s)|ds+	PROPN
ejpam-6355	150	7	λ5	λ5	VERB
ejpam-6355	150	8	λ1	λ1	PROPN
ejpam-6355	150	9	∫	∫	PROPN
ejpam-6355	150	10	t	t	PROPN
ejpam-6355	150	11	0	0	NUM
ejpam-6355	150	12	|u(s−	|u(s−	ADJ
ejpam-6355	150	13	σ)|ds	σ)|ds	NOUN
ejpam-6355	150	14	+	+	CCONJ
ejpam-6355	150	15	λ6	λ6	PROPN
ejpam-6355	150	16	λ1	λ1	PROPN
ejpam-6355	150	17	∫	∫	PROPN
ejpam-6355	150	18	t	t	PROPN
ejpam-6355	150	19	0	0	NUM
ejpam-6355	151	1	(	(	PUNCT
ejpam-6355	151	2	∫	∫	PROPN
ejpam-6355	151	3	s	s	PART
ejpam-6355	151	4	0	0	NUM
ejpam-6355	151	5	|k(x	|k(x	PROPN
ejpam-6355	151	6	,	,	PUNCT
ejpam-6355	151	7	s)||u(x)|dx	s)||u(x)|dx	PROPN
ejpam-6355	151	8	)	)	PUNCT
ejpam-6355	151	9	ds+	ds+	PROPN
ejpam-6355	152	1	λ7	λ7	PROPN
ejpam-6355	152	2	λ1	λ1	PROPN
ejpam-6355	152	3	∫	∫	PROPN
ejpam-6355	152	4	t	t	PROPN
ejpam-6355	152	5	0	0	NUM
ejpam-6355	153	1	(	(	PUNCT
ejpam-6355	153	2	∫	∫	PROPN
ejpam-6355	153	3	s	s	PART
ejpam-6355	153	4	0	0	NUM
ejpam-6355	153	5	|k(x	|k(x	PROPN
ejpam-6355	153	6	,	,	PUNCT
ejpam-6355	153	7	s)||u(x−	s)||u(x−	PROPN
ejpam-6355	153	8	σ)|dx	σ)|dx	PROPN
ejpam-6355	153	9	)	)	PUNCT
ejpam-6355	153	10	ds	ds	PROPN
ejpam-6355	153	11	.	.	PROPN
ejpam-6355	153	12	kamran	kamran	PROPN
ejpam-6355	153	13	et	et	PROPN
ejpam-6355	153	14	al	al	PROPN
ejpam-6355	153	15	.	.	PUNCT
ejpam-6355	153	16	/	/	SYM
ejpam-6355	153	17	eur	eur	PROPN
ejpam-6355	153	18	.	.	PUNCT
ejpam-6355	154	1	j.	j.	PROPN
ejpam-6355	154	2	pure	pure	PROPN
ejpam-6355	154	3	appl	appl	PROPN
ejpam-6355	154	4	.	.	PROPN
ejpam-6355	154	5	math	math	PROPN
ejpam-6355	154	6	,	,	PUNCT
ejpam-6355	154	7	18	18	NUM
ejpam-6355	154	8	(	(	PUNCT
ejpam-6355	154	9	3	3	NUM
ejpam-6355	154	10	)	)	PUNCT
ejpam-6355	154	11	(	(	PUNCT
ejpam-6355	154	12	2025	2025	NUM
ejpam-6355	154	13	)	)	PUNCT
ejpam-6355	154	14	,	,	PUNCT
ejpam-6355	154	15	6355	6355	NUM
ejpam-6355	154	16	6	6	NUM
ejpam-6355	154	17	of	of	ADP
ejpam-6355	154	18	22	22	NUM
ejpam-6355	154	19	using	use	VERB
ejpam-6355	154	20	boundedness	boundedness	NOUN
ejpam-6355	154	21	of	of	ADP
ejpam-6355	154	22	f	f	PROPN
ejpam-6355	154	23	and	and	CCONJ
ejpam-6355	154	24	u	u	PROPN
ejpam-6355	154	25	,	,	PUNCT
ejpam-6355	154	26	we	we	PRON
ejpam-6355	154	27	obtain	obtain	VERB
ejpam-6355	154	28	∥tu∥∞	∥tu∥∞	ADV
ejpam-6355	154	29	≤	≤	NUM
ejpam-6355	154	30	|u0|	|u0|	VERB
ejpam-6355	154	31	+	+	CCONJ
ejpam-6355	154	32	2λ2	2λ2	NUM
ejpam-6355	154	33	λ1	λ1	ADJ
ejpam-6355	154	34	η1	η1	NOUN
ejpam-6355	154	35	+	+	CCONJ
ejpam-6355	154	36	λ3	λ3	PROPN
ejpam-6355	154	37	λ1	λ1	PROPN
ejpam-6355	154	38	m	m	VERB
ejpam-6355	154	39	+	+	NUM
ejpam-6355	154	40	λ4	λ4	ADJ
ejpam-6355	155	1	+	+	CCONJ
ejpam-6355	155	2	λ5	λ5	VERB
ejpam-6355	155	3	λ1	λ1	ADJ
ejpam-6355	155	4	η1	η1	NOUN
ejpam-6355	155	5	+	+	CCONJ
ejpam-6355	155	6	(	(	PUNCT
ejpam-6355	155	7	λ6	λ6	NOUN
ejpam-6355	155	8	+	+	CCONJ
ejpam-6355	155	9	λ7)nη1	λ7)nη1	PROPN
ejpam-6355	155	10	2λ1	2λ1	NUM
ejpam-6355	156	1	=	=	NUM
ejpam-6355	156	2	:	:	PUNCT
ejpam-6355	156	3	η2	η2	PROPN
ejpam-6355	156	4	,	,	PUNCT
ejpam-6355	156	5	where	where	SCONJ
ejpam-6355	156	6	m	m	PROPN
ejpam-6355	156	7	=	=	SYM
ejpam-6355	156	8	max	max	PROPN
ejpam-6355	156	9	|f(s)|	|f(s)|	PROPN
ejpam-6355	156	10	and	and	CCONJ
ejpam-6355	156	11	n	n	NOUN
ejpam-6355	156	12	=	=	SYM
ejpam-6355	156	13	max	max	PROPN
ejpam-6355	156	14	|k(x	|k(x	PROPN
ejpam-6355	156	15	,	,	PUNCT
ejpam-6355	156	16	s)|	s)|	NOUN
ejpam-6355	156	17	.	.	PUNCT
ejpam-6355	157	1	this	this	PRON
ejpam-6355	157	2	shows	show	VERB
ejpam-6355	157	3	that	that	SCONJ
ejpam-6355	157	4	t	t	PROPN
ejpam-6355	157	5	maps	map	NOUN
ejpam-6355	157	6	bounded	bound	VERB
ejpam-6355	157	7	sets	set	NOUN
ejpam-6355	157	8	into	into	ADP
ejpam-6355	157	9	bounded	bounded	ADJ
ejpam-6355	157	10	sets	set	NOUN
ejpam-6355	157	11	.	.	PUNCT
ejpam-6355	158	1	step	step	NOUN
ejpam-6355	158	2	3	3	NUM
ejpam-6355	158	3	:	:	PUNCT
ejpam-6355	158	4	equicontinuity	equicontinuity	NOUN
ejpam-6355	158	5	of	of	ADP
ejpam-6355	158	6	t	t	PROPN
ejpam-6355	158	7	to	to	PART
ejpam-6355	158	8	show	show	VERB
ejpam-6355	158	9	equicontinuity	equicontinuity	NOUN
ejpam-6355	158	10	,	,	PUNCT
ejpam-6355	158	11	for	for	ADP
ejpam-6355	158	12	t	t	PROPN
ejpam-6355	158	13	,	,	PUNCT
ejpam-6355	158	14	t0	t0	PROPN
ejpam-6355	158	15	∈	∈	PROPN
ejpam-6355	159	1	[	[	X
ejpam-6355	159	2	0	0	NUM
ejpam-6355	159	3	,	,	PUNCT
ejpam-6355	159	4	1	1	NUM
ejpam-6355	159	5	]	]	PUNCT
ejpam-6355	159	6	,	,	PUNCT
ejpam-6355	159	7	we	we	PRON
ejpam-6355	159	8	have	have	VERB
ejpam-6355	159	9	|tu(t	|tu(t	NUM
ejpam-6355	159	10	)	)	PUNCT
ejpam-6355	160	1	−	−	PROPN
ejpam-6355	160	2	tu(t0)|	tu(t0)|	NOUN
ejpam-6355	160	3	=	=	NOUN
ejpam-6355	160	4	∣∣∣∣(u0	∣∣∣∣(u0	NOUN
ejpam-6355	160	5	+	+	CCONJ
ejpam-6355	160	6	λ2	λ2	PROPN
ejpam-6355	160	7	λ1	λ1	ADJ
ejpam-6355	160	8	u(−σ	u(−σ	NOUN
ejpam-6355	160	9	)	)	PUNCT
ejpam-6355	161	1	+	+	NUM
ejpam-6355	161	2	λ2	λ2	NOUN
ejpam-6355	161	3	λ1	λ1	PROPN
ejpam-6355	161	4	u(t−	u(t−	PROPN
ejpam-6355	161	5	σ	σ	PROPN
ejpam-6355	161	6	)	)	PUNCT
ejpam-6355	161	7	+	+	CCONJ
ejpam-6355	162	1	λ3	λ3	PROPN
ejpam-6355	162	2	λ1	λ1	ADJ
ejpam-6355	162	3	∫	∫	PROPN
ejpam-6355	162	4	t	t	PROPN
ejpam-6355	162	5	0	0	NUM
ejpam-6355	162	6	f(s)ds+	f(s)ds+	PROPN
ejpam-6355	162	7	λ4	λ4	PROPN
ejpam-6355	162	8	λ1	λ1	PROPN
ejpam-6355	162	9	∫	∫	PROPN
ejpam-6355	162	10	t	t	PROPN
ejpam-6355	162	11	0	0	NUM
ejpam-6355	162	12	u(s)ds+	u(s)ds+	PROPN
ejpam-6355	162	13	λ5	λ5	NOUN
ejpam-6355	162	14	λ1	λ1	ADJ
ejpam-6355	162	15	∫	∫	PROPN
ejpam-6355	162	16	t	t	PROPN
ejpam-6355	162	17	0	0	NUM
ejpam-6355	162	18	u(s−	u(s−	PROPN
ejpam-6355	163	1	σ)ds	σ)ds	PROPN
ejpam-6355	163	2	+	+	NUM
ejpam-6355	163	3	λ6	λ6	PROPN
ejpam-6355	163	4	λ1	λ1	PROPN
ejpam-6355	163	5	∫	∫	PROPN
ejpam-6355	163	6	t	t	PROPN
ejpam-6355	163	7	0	0	NUM
ejpam-6355	164	1	(	(	PUNCT
ejpam-6355	164	2	∫	∫	PROPN
ejpam-6355	164	3	s	s	PART
ejpam-6355	164	4	0	0	NUM
ejpam-6355	164	5	k(x	k(x	PROPN
ejpam-6355	164	6	,	,	PUNCT
ejpam-6355	164	7	s)u(x)dx	s)u(x)dx	ADJ
ejpam-6355	164	8	)	)	PUNCT
ejpam-6355	164	9	ds+	ds+	PROPN
ejpam-6355	165	1	λ7	λ7	PROPN
ejpam-6355	165	2	λ1	λ1	PROPN
ejpam-6355	165	3	∫	∫	PROPN
ejpam-6355	165	4	t	t	PROPN
ejpam-6355	165	5	0	0	NUM
ejpam-6355	166	1	(	(	PUNCT
ejpam-6355	166	2	∫	∫	PROPN
ejpam-6355	166	3	s	s	PART
ejpam-6355	166	4	0	0	NUM
ejpam-6355	166	5	k(x	k(x	PROPN
ejpam-6355	166	6	,	,	PUNCT
ejpam-6355	166	7	s)u(x−	s)u(x−	NOUN
ejpam-6355	166	8	σ)dx	σ)dx	PROPN
ejpam-6355	166	9	)	)	PUNCT
ejpam-6355	166	10	ds	ds	ADJ
ejpam-6355	166	11	)	)	PUNCT
ejpam-6355	166	12	−	−	PROPN
ejpam-6355	167	1	(	(	PUNCT
ejpam-6355	167	2	u0	u0	ADJ
ejpam-6355	167	3	+	+	CCONJ
ejpam-6355	167	4	λ2	λ2	NOUN
ejpam-6355	167	5	λ1	λ1	ADJ
ejpam-6355	167	6	u(−σ	u(−σ	NOUN
ejpam-6355	167	7	)	)	PUNCT
ejpam-6355	168	1	+	+	NUM
ejpam-6355	168	2	λ2	λ2	NOUN
ejpam-6355	168	3	λ1	λ1	ADJ
ejpam-6355	168	4	u(t0	u(t0	NOUN
ejpam-6355	168	5	−	−	PROPN
ejpam-6355	168	6	σ	σ	PROPN
ejpam-6355	168	7	)	)	PUNCT
ejpam-6355	168	8	+	+	CCONJ
ejpam-6355	169	1	λ3	λ3	PROPN
ejpam-6355	169	2	λ1	λ1	ADJ
ejpam-6355	169	3	∫	∫	PROPN
ejpam-6355	169	4	t0	t0	PROPN
ejpam-6355	169	5	0	0	NUM
ejpam-6355	169	6	f(s)ds+	f(s)ds+	PROPN
ejpam-6355	170	1	λ4	λ4	ADJ
ejpam-6355	170	2	λ1	λ1	PROPN
ejpam-6355	170	3	∫	∫	PROPN
ejpam-6355	170	4	t0	t0	PROPN
ejpam-6355	170	5	0	0	NUM
ejpam-6355	171	1	u(s)ds+	u(s)ds+	ADJ
ejpam-6355	171	2	λ5	λ5	NOUN
ejpam-6355	171	3	λ1	λ1	ADJ
ejpam-6355	171	4	∫	∫	PROPN
ejpam-6355	171	5	t0	t0	PROPN
ejpam-6355	171	6	0	0	NUM
ejpam-6355	172	1	u(s−	u(s−	PROPN
ejpam-6355	173	1	σ)ds	σ)ds	PROPN
ejpam-6355	173	2	+	+	NUM
ejpam-6355	173	3	λ6	λ6	PROPN
ejpam-6355	173	4	λ1	λ1	PROPN
ejpam-6355	173	5	∫	∫	PROPN
ejpam-6355	173	6	t0	t0	PROPN
ejpam-6355	173	7	0	0	PUNCT
ejpam-6355	174	1	(	(	PUNCT
ejpam-6355	174	2	∫	∫	PROPN
ejpam-6355	174	3	s	s	PART
ejpam-6355	174	4	0	0	NUM
ejpam-6355	174	5	k(x	k(x	PROPN
ejpam-6355	174	6	,	,	PUNCT
ejpam-6355	174	7	s)u(x)dx	s)u(x)dx	ADJ
ejpam-6355	174	8	)	)	PUNCT
ejpam-6355	174	9	ds+	ds+	PROPN
ejpam-6355	175	1	λ7	λ7	PROPN
ejpam-6355	175	2	λ1	λ1	PROPN
ejpam-6355	175	3	∫	∫	PROPN
ejpam-6355	175	4	t0	t0	PROPN
ejpam-6355	175	5	0	0	PUNCT
ejpam-6355	176	1	(	(	PUNCT
ejpam-6355	176	2	∫	∫	PROPN
ejpam-6355	176	3	s	s	PART
ejpam-6355	176	4	0	0	NUM
ejpam-6355	176	5	k(x	k(x	PROPN
ejpam-6355	176	6	,	,	PUNCT
ejpam-6355	176	7	s)u(x−	s)u(x−	NOUN
ejpam-6355	176	8	σ)dx	σ)dx	PROPN
ejpam-6355	176	9	)	)	PUNCT
ejpam-6355	176	10	ds	ds	ADJ
ejpam-6355	176	11	)	)	PUNCT
ejpam-6355	176	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6355	176	13	≤	≤	NUM
ejpam-6355	176	14	λ2	λ2	NOUN
ejpam-6355	176	15	λ1	λ1	PROPN
ejpam-6355	176	16	|u(t−	|u(t−	PROPN
ejpam-6355	176	17	σ	σ	PROPN
ejpam-6355	176	18	)	)	PUNCT
ejpam-6355	176	19	−	−	PROPN
ejpam-6355	176	20	u(t0	u(t0	NOUN
ejpam-6355	176	21	−	−	X
ejpam-6355	177	1	σ)|	σ)|	NOUN
ejpam-6355	177	2	+	+	PROPN
ejpam-6355	177	3	λ3	λ3	PROPN
ejpam-6355	178	1	λ1	λ1	ADJ
ejpam-6355	178	2	∫	∫	PROPN
ejpam-6355	178	3	t	t	PROPN
ejpam-6355	178	4	t0	t0	PROPN
ejpam-6355	178	5	|f(s)|ds+	|f(s)|ds+	PROPN
ejpam-6355	179	1	λ4	λ4	PROPN
ejpam-6355	179	2	λ1	λ1	PROPN
ejpam-6355	179	3	∫	∫	PROPN
ejpam-6355	179	4	t	t	PROPN
ejpam-6355	179	5	t0	t0	PROPN
ejpam-6355	179	6	|u(s)|ds+	|u(s)|ds+	PROPN
ejpam-6355	179	7	λ5	λ5	VERB
ejpam-6355	180	1	λ1	λ1	PROPN
ejpam-6355	180	2	∫	∫	PROPN
ejpam-6355	180	3	t	t	PROPN
ejpam-6355	180	4	t0	t0	PROPN
ejpam-6355	180	5	|u(s−	|u(s−	PROPN
ejpam-6355	180	6	σ)|ds	σ)|ds	NOUN
ejpam-6355	180	7	+	+	CCONJ
ejpam-6355	180	8	λ6	λ6	PROPN
ejpam-6355	180	9	λ1	λ1	PROPN
ejpam-6355	180	10	∫	∫	PROPN
ejpam-6355	180	11	t	t	PROPN
ejpam-6355	180	12	t0	t0	PROPN
ejpam-6355	180	13	(	(	PUNCT
ejpam-6355	180	14	∫	∫	PROPN
ejpam-6355	180	15	s	s	PART
ejpam-6355	180	16	0	0	NUM
ejpam-6355	180	17	|k(x	|k(x	PROPN
ejpam-6355	180	18	,	,	PUNCT
ejpam-6355	180	19	s)||u(x)|dx	s)||u(x)|dx	PROPN
ejpam-6355	180	20	)	)	PUNCT
ejpam-6355	180	21	ds+	ds+	PROPN
ejpam-6355	181	1	λ7	λ7	PROPN
ejpam-6355	181	2	λ1	λ1	PROPN
ejpam-6355	181	3	∫	∫	PROPN
ejpam-6355	181	4	t	t	PROPN
ejpam-6355	181	5	t0	t0	PROPN
ejpam-6355	181	6	(	(	PUNCT
ejpam-6355	181	7	∫	∫	PROPN
ejpam-6355	181	8	s	s	PART
ejpam-6355	181	9	0	0	NUM
ejpam-6355	181	10	|k(x	|k(x	PROPN
ejpam-6355	181	11	,	,	PUNCT
ejpam-6355	181	12	s)||u(x−	s)||u(x−	NOUN
ejpam-6355	181	13	σ)|dx	σ)|dx	PROPN
ejpam-6355	181	14	)	)	PUNCT
ejpam-6355	181	15	ds	ds	PROPN
ejpam-6355	181	16	≤	≤	PROPN
ejpam-6355	181	17	rλ2	rλ2	VERB
ejpam-6355	181	18	λ1	λ1	PROPN
ejpam-6355	181	19	|t−	|t−	PROPN
ejpam-6355	181	20	t0|	t0|	X
ejpam-6355	181	21	+	+	CCONJ
ejpam-6355	182	1	λ3	λ3	PROPN
ejpam-6355	182	2	λ1	λ1	ADJ
ejpam-6355	182	3	∫	∫	PROPN
ejpam-6355	182	4	t	t	PROPN
ejpam-6355	182	5	t0	t0	PROPN
ejpam-6355	182	6	|f(s)|ds+	|f(s)|ds+	PROPN
ejpam-6355	183	1	λ4	λ4	PROPN
ejpam-6355	183	2	λ1	λ1	PROPN
ejpam-6355	183	3	∫	∫	PROPN
ejpam-6355	183	4	t	t	PROPN
ejpam-6355	183	5	t0	t0	PROPN
ejpam-6355	183	6	|u(s)|ds+	|u(s)|ds+	PROPN
ejpam-6355	183	7	λ5	λ5	VERB
ejpam-6355	184	1	λ1	λ1	PROPN
ejpam-6355	184	2	∫	∫	PROPN
ejpam-6355	184	3	t	t	PROPN
ejpam-6355	184	4	t0	t0	PROPN
ejpam-6355	184	5	|u(s−	|u(s−	PROPN
ejpam-6355	184	6	σ)|ds	σ)|ds	NOUN
ejpam-6355	184	7	+	+	CCONJ
ejpam-6355	184	8	λ6n	λ6n	X
ejpam-6355	185	1	λ1	λ1	PROPN
ejpam-6355	185	2	∫	∫	PROPN
ejpam-6355	185	3	t	t	PROPN
ejpam-6355	185	4	t0	t0	PROPN
ejpam-6355	185	5	(	(	PUNCT
ejpam-6355	185	6	∫	∫	PROPN
ejpam-6355	185	7	s	s	PART
ejpam-6355	185	8	0	0	NUM
ejpam-6355	185	9	|u(x)|dx	|u(x)|dx	NOUN
ejpam-6355	185	10	)	)	PUNCT
ejpam-6355	185	11	ds+	ds+	PROPN
ejpam-6355	186	1	λ7n	λ7n	PROPN
ejpam-6355	186	2	λ1	λ1	PROPN
ejpam-6355	186	3	∫	∫	PROPN
ejpam-6355	186	4	t	t	PROPN
ejpam-6355	186	5	t0	t0	PROPN
ejpam-6355	186	6	(	(	PUNCT
ejpam-6355	186	7	∫	∫	PROPN
ejpam-6355	186	8	s	s	PART
ejpam-6355	186	9	0	0	NUM
ejpam-6355	186	10	|u(x−	|u(x−	NOUN
ejpam-6355	186	11	σ)|dx	σ)|dx	PROPN
ejpam-6355	186	12	)	)	PUNCT
ejpam-6355	186	13	ds	ds	NOUN
ejpam-6355	186	14	.	.	NOUN
ejpam-6355	186	15	simplifying	simplifying	NOUN
ejpam-6355	186	16	,	,	PUNCT
ejpam-6355	186	17	∥tu(t)−tu(t0)∥∞	∥tu(t)−tu(t0)∥∞	PROPN
ejpam-6355	186	18	≤	≤	X
ejpam-6355	186	19	rλ2	rλ2	VERB
ejpam-6355	186	20	λ1	λ1	PROPN
ejpam-6355	186	21	∥t−t0∥∞+	∥t−t0∥∞+	NUM
ejpam-6355	186	22	λ3	λ3	PROPN
ejpam-6355	186	23	λ1	λ1	PROPN
ejpam-6355	186	24	m(t−t0)+	m(t−t0)+	NOUN
ejpam-6355	186	25	λ4	λ4	PROPN
ejpam-6355	186	26	+	+	CCONJ
ejpam-6355	186	27	λ5	λ5	VERB
ejpam-6355	186	28	λ1	λ1	VERB
ejpam-6355	186	29	η1(t−t0)+	η1(t−t0)+	PROPN
ejpam-6355	186	30	(	(	PUNCT
ejpam-6355	186	31	λ6	λ6	NOUN
ejpam-6355	186	32	+	+	CCONJ
ejpam-6355	186	33	λ7)nη1	λ7)nη1	PROPN
ejpam-6355	186	34	2λ1	2λ1	NUM
ejpam-6355	187	1	(	(	PUNCT
ejpam-6355	187	2	t2−t20	t2−t20	PROPN
ejpam-6355	187	3	)	)	PUNCT
ejpam-6355	187	4	,	,	PUNCT
ejpam-6355	188	1	where	where	SCONJ
ejpam-6355	188	2	|u(t−σ)−u(t0−σ)|	|u(t−σ)−u(t0−σ)|	NOUN
ejpam-6355	188	3	<	<	X
ejpam-6355	188	4	r|t−	r|t−	X
ejpam-6355	188	5	t0|	t0|	NOUN
ejpam-6355	188	6	.	.	PUNCT
ejpam-6355	189	1	hence	hence	ADV
ejpam-6355	189	2	∥tu(t)−tu(t0)∥∞	∥tu(t)−tu(t0)∥∞	PUNCT
ejpam-6355	189	3	→	→	SYM
ejpam-6355	189	4	0	0	NUM
ejpam-6355	189	5	as	as	ADP
ejpam-6355	189	6	t→	t→	PRON
ejpam-6355	189	7	t0	t0	PROPN
ejpam-6355	189	8	.	.	PUNCT
ejpam-6355	190	1	therefore	therefore	ADV
ejpam-6355	190	2	by	by	ADP
ejpam-6355	190	3	arzelà-ascoli	arzelà-ascoli	NOUN
ejpam-6355	190	4	theorem	theorem	VERB
ejpam-6355	190	5	[	[	X
ejpam-6355	190	6	23	23	NUM
ejpam-6355	190	7	]	]	PUNCT
ejpam-6355	190	8	,	,	PUNCT
ejpam-6355	190	9	the	the	DET
ejpam-6355	190	10	operator	operator	NOUN
ejpam-6355	190	11	t	t	NOUN
ejpam-6355	190	12	is	be	AUX
ejpam-6355	190	13	completely	completely	ADV
ejpam-6355	190	14	continuous	continuous	ADJ
ejpam-6355	190	15	.	.	PUNCT
ejpam-6355	191	1	step	step	NOUN
ejpam-6355	191	2	4	4	NUM
ejpam-6355	191	3	:	:	PUNCT
ejpam-6355	191	4	a	a	DET
ejpam-6355	191	5	priori	priori	ADV
ejpam-6355	191	6	bound	bind	VERB
ejpam-6355	191	7	define	define	VERB
ejpam-6355	191	8	the	the	DET
ejpam-6355	191	9	set	set	NOUN
ejpam-6355	191	10	ω	ω	PROPN
ejpam-6355	191	11	=	=	SYM
ejpam-6355	191	12	{	{	PUNCT
ejpam-6355	191	13	u	u	NOUN
ejpam-6355	191	14	∈	∈	PROPN
ejpam-6355	191	15	c([0	c([0	NOUN
ejpam-6355	191	16	,	,	PUNCT
ejpam-6355	191	17	1	1	NUM
ejpam-6355	191	18	]	]	PUNCT
ejpam-6355	191	19	)	)	PUNCT
ejpam-6355	191	20	:	:	PUNCT
ejpam-6355	192	1	u	u	NOUN
ejpam-6355	192	2	=	=	PROPN
ejpam-6355	192	3	ϵtu	ϵtu	PROPN
ejpam-6355	192	4	,	,	PUNCT
ejpam-6355	192	5	0	0	PUNCT
ejpam-6355	192	6	<	<	X
ejpam-6355	192	7	ϵ	ϵ	X
ejpam-6355	192	8	<	<	X
ejpam-6355	192	9	1	1	NUM
ejpam-6355	192	10	}	}	PUNCT
ejpam-6355	192	11	.	.	PUNCT
ejpam-6355	193	1	for	for	ADP
ejpam-6355	193	2	u	u	PROPN
ejpam-6355	193	3	∈	∈	PROPN
ejpam-6355	193	4	ω	ω	PROPN
ejpam-6355	193	5	,	,	PUNCT
ejpam-6355	193	6	∥u∥∞	∥u∥∞	X
ejpam-6355	193	7	≤	≤	NUM
ejpam-6355	193	8	ϵ∥tu∥∞	ϵ∥tu∥∞	PUNCT
ejpam-6355	193	9	≤	≤	PROPN
ejpam-6355	194	1	ϵη2	ϵη2	ADV
ejpam-6355	194	2	.	.	PUNCT
ejpam-6355	195	1	which	which	PRON
ejpam-6355	195	2	demonstrates	demonstrate	VERB
ejpam-6355	195	3	the	the	DET
ejpam-6355	195	4	boundedness	boundedness	NOUN
ejpam-6355	195	5	of	of	ADP
ejpam-6355	195	6	ω	ω	PROPN
ejpam-6355	195	7	.	.	PUNCT
ejpam-6355	195	8	utilizing	utilize	VERB
ejpam-6355	195	9	schaefer	schaefer	NOUN
ejpam-6355	195	10	’s	’s	PART
ejpam-6355	195	11	fixed	fix	VERB
ejpam-6355	195	12	point	point	NOUN
ejpam-6355	195	13	theorem	theorem	VERB
ejpam-6355	195	14	,	,	PUNCT
ejpam-6355	195	15	it	it	PRON
ejpam-6355	195	16	follows	follow	VERB
ejpam-6355	195	17	that	that	SCONJ
ejpam-6355	195	18	the	the	DET
ejpam-6355	195	19	operator	operator	NOUN
ejpam-6355	195	20	t	t	NOUN
ejpam-6355	195	21	possesses	possess	VERB
ejpam-6355	195	22	at	at	ADV
ejpam-6355	195	23	least	least	ADV
ejpam-6355	195	24	one	one	NUM
ejpam-6355	195	25	fixed	fix	VERB
ejpam-6355	195	26	point	point	NOUN
ejpam-6355	195	27	.	.	PUNCT
ejpam-6355	196	1	as	as	ADP
ejpam-6355	196	2	a	a	DET
ejpam-6355	196	3	result	result	NOUN
ejpam-6355	196	4	,	,	PUNCT
ejpam-6355	196	5	the	the	DET
ejpam-6355	196	6	problem	problem	NOUN
ejpam-6355	196	7	described	describe	VERB
ejpam-6355	196	8	in	in	ADP
ejpam-6355	196	9	eq.(1	eq.(1	ADJ
ejpam-6355	196	10	)	)	PUNCT
ejpam-6355	196	11	guarantees	guarantee	VERB
ejpam-6355	196	12	the	the	DET
ejpam-6355	196	13	existence	existence	NOUN
ejpam-6355	196	14	of	of	ADP
ejpam-6355	196	15	at	at	ADV
ejpam-6355	196	16	least	least	ADV
ejpam-6355	196	17	one	one	NUM
ejpam-6355	196	18	solution	solution	NOUN
ejpam-6355	196	19	.	.	PUNCT
ejpam-6355	197	1	kamran	kamran	PROPN
ejpam-6355	197	2	et	et	PROPN
ejpam-6355	197	3	al	al	PROPN
ejpam-6355	197	4	.	.	PUNCT
ejpam-6355	197	5	/	/	SYM
ejpam-6355	197	6	eur	eur	PROPN
ejpam-6355	197	7	.	.	PUNCT
ejpam-6355	198	1	j.	j.	PROPN
ejpam-6355	198	2	pure	pure	PROPN
ejpam-6355	198	3	appl	appl	PROPN
ejpam-6355	198	4	.	.	PROPN
ejpam-6355	198	5	math	math	PROPN
ejpam-6355	198	6	,	,	PUNCT
ejpam-6355	198	7	18	18	NUM
ejpam-6355	198	8	(	(	PUNCT
ejpam-6355	198	9	3	3	NUM
ejpam-6355	198	10	)	)	PUNCT
ejpam-6355	198	11	(	(	PUNCT
ejpam-6355	198	12	2025	2025	NUM
ejpam-6355	198	13	)	)	PUNCT
ejpam-6355	198	14	,	,	PUNCT
ejpam-6355	198	15	6355	6355	NUM
ejpam-6355	198	16	7	7	NUM
ejpam-6355	198	17	of	of	ADP
ejpam-6355	198	18	22	22	NUM
ejpam-6355	198	19	theorem	theorem	NOUN
ejpam-6355	198	20	3	3	NUM
ejpam-6355	198	21	.	.	PUNCT
ejpam-6355	199	1	the	the	DET
ejpam-6355	199	2	problem	problem	NOUN
ejpam-6355	199	3	in	in	ADP
ejpam-6355	199	4	eq.(1	eq.(1	ADJ
ejpam-6355	199	5	)	)	PUNCT
ejpam-6355	199	6	has	have	VERB
ejpam-6355	199	7	a	a	DET
ejpam-6355	199	8	unique	unique	ADJ
ejpam-6355	199	9	solution	solution	NOUN
ejpam-6355	199	10	in	in	ADP
ejpam-6355	199	11	c([0	c([0	PROPN
ejpam-6355	199	12	,	,	PUNCT
ejpam-6355	199	13	1	1	NUM
ejpam-6355	199	14	]	]	NUM
ejpam-6355	199	15	)	)	PUNCT
ejpam-6355	199	16	.	.	PUNCT
ejpam-6355	200	1	proof	proof	NOUN
ejpam-6355	200	2	.	.	PUNCT
ejpam-6355	201	1	for	for	ADP
ejpam-6355	201	2	u1	u1	NOUN
ejpam-6355	201	3	,	,	PUNCT
ejpam-6355	201	4	u2	u2	PROPN
ejpam-6355	201	5	∈	∈	PROPN
ejpam-6355	201	6	c([0	c([0	NOUN
ejpam-6355	201	7	,	,	PUNCT
ejpam-6355	201	8	1	1	NUM
ejpam-6355	201	9	]	]	NUM
ejpam-6355	201	10	)	)	PUNCT
ejpam-6355	201	11	,	,	PUNCT
ejpam-6355	201	12	compute	compute	NOUN
ejpam-6355	201	13	:	:	PUNCT
ejpam-6355	201	14	|tu1(t)−tu2(t)|	|tu1(t)−tu2(t)|	ADJ
ejpam-6355	201	15	≤	≤	NUM
ejpam-6355	201	16	λ2	λ2	NOUN
ejpam-6355	201	17	λ1	λ1	ADJ
ejpam-6355	201	18	|u1(−σ)−u2(−σ)|+λ2	|u1(−σ)−u2(−σ)|+λ2	NOUN
ejpam-6355	201	19	λ1	λ1	ADJ
ejpam-6355	201	20	|u1(t−σ)−u2(t−σ)|+λ4	|u1(t−σ)−u2(t−σ)|+λ4	PROPN
ejpam-6355	201	21	λ1	λ1	PROPN
ejpam-6355	201	22	∫	∫	PROPN
ejpam-6355	201	23	t	t	PROPN
ejpam-6355	201	24	0	0	NUM
ejpam-6355	201	25	|u1(s)−u2(s)|	|u1(s)−u2(s)|	PROPN
ejpam-6355	202	1	ds	ds	PROPN
ejpam-6355	203	1	+	+	CCONJ
ejpam-6355	203	2	λ5	λ5	PROPN
ejpam-6355	203	3	λ1	λ1	ADJ
ejpam-6355	203	4	∫	∫	PROPN
ejpam-6355	203	5	t	t	PROPN
ejpam-6355	203	6	0	0	NUM
ejpam-6355	203	7	|u1(s−	|u1(s−	PROPN
ejpam-6355	203	8	σ	σ	PROPN
ejpam-6355	203	9	)	)	PUNCT
ejpam-6355	203	10	−	−	PROPN
ejpam-6355	204	1	u2(s−	u2(s−	INTJ
ejpam-6355	204	2	σ)|	σ)|	PROPN
ejpam-6355	204	3	ds+	ds+	PROPN
ejpam-6355	204	4	λ6	λ6	PROPN
ejpam-6355	204	5	λ1	λ1	PROPN
ejpam-6355	204	6	∫	∫	PROPN
ejpam-6355	204	7	t	t	PROPN
ejpam-6355	204	8	0	0	NUM
ejpam-6355	204	9	∫	∫	PROPN
ejpam-6355	204	10	s	s	PART
ejpam-6355	204	11	0	0	NUM
ejpam-6355	204	12	|k(x	|k(x	PROPN
ejpam-6355	204	13	,	,	PUNCT
ejpam-6355	204	14	s)||u1(x	s)||u1(x	NOUN
ejpam-6355	204	15	)	)	PUNCT
ejpam-6355	204	16	−	−	PROPN
ejpam-6355	205	1	u2(x)|	u2(x)|	ADJ
ejpam-6355	205	2	dx	dx	PROPN
ejpam-6355	205	3	ds	ds	PROPN
ejpam-6355	205	4	+	+	CCONJ
ejpam-6355	205	5	λ7	λ7	PROPN
ejpam-6355	206	1	λ1	λ1	PROPN
ejpam-6355	206	2	∫	∫	PROPN
ejpam-6355	206	3	t	t	PROPN
ejpam-6355	206	4	0	0	NUM
ejpam-6355	206	5	∫	∫	PROPN
ejpam-6355	206	6	s	s	PART
ejpam-6355	206	7	0	0	NUM
ejpam-6355	206	8	|k(x	|k(x	PROPN
ejpam-6355	206	9	,	,	PUNCT
ejpam-6355	206	10	s)||u1(x−	s)||u1(x−	PROPN
ejpam-6355	206	11	σ	σ	PROPN
ejpam-6355	206	12	)	)	PUNCT
ejpam-6355	206	13	−	−	PROPN
ejpam-6355	206	14	u2(x−	u2(x−	ADP
ejpam-6355	207	1	σ)|	σ)|	PROPN
ejpam-6355	207	2	dx	dx	PROPN
ejpam-6355	207	3	ds	ds	PROPN
ejpam-6355	207	4	.	.	PUNCT
ejpam-6355	208	1	since	since	SCONJ
ejpam-6355	208	2	u1(−σ	u1(−σ	NUM
ejpam-6355	208	3	)	)	PUNCT
ejpam-6355	208	4	=	=	PUNCT
ejpam-6355	208	5	u2(−σ	u2(−σ	NOUN
ejpam-6355	208	6	)	)	PUNCT
ejpam-6355	208	7	=	=	SYM
ejpam-6355	208	8	ϕ(−σ	ϕ(−σ	NOUN
ejpam-6355	208	9	)	)	PUNCT
ejpam-6355	208	10	,	,	PUNCT
ejpam-6355	208	11	the	the	DET
ejpam-6355	208	12	first	first	ADJ
ejpam-6355	208	13	term	term	NOUN
ejpam-6355	208	14	is	be	AUX
ejpam-6355	208	15	zero	zero	NUM
ejpam-6355	208	16	.	.	PUNCT
ejpam-6355	209	1	when	when	SCONJ
ejpam-6355	209	2	t	t	PROPN
ejpam-6355	209	3	−	−	PROPN
ejpam-6355	209	4	σ	σ	PROPN
ejpam-6355	209	5	≥	≥	PROPN
ejpam-6355	209	6	0	0	NUM
ejpam-6355	209	7	,	,	PUNCT
ejpam-6355	209	8	|u1(t	|u1(t	NUM
ejpam-6355	209	9	−	−	PROPN
ejpam-6355	209	10	σ	σ	PROPN
ejpam-6355	209	11	)	)	PUNCT
ejpam-6355	209	12	−	−	PROPN
ejpam-6355	210	1	u2(t−	u2(t−	INTJ
ejpam-6355	210	2	σ)|	σ)|	PROPN
ejpam-6355	210	3	≤	≤	PUNCT
ejpam-6355	210	4	∥u1	∥u1	ADV
ejpam-6355	210	5	−	−	PROPN
ejpam-6355	210	6	u2∥∞	u2∥∞	NUM
ejpam-6355	210	7	;	;	PUNCT
ejpam-6355	210	8	similarly	similarly	ADV
ejpam-6355	210	9	for	for	ADP
ejpam-6355	210	10	s−	s−	PROPN
ejpam-6355	210	11	σ	σ	PROPN
ejpam-6355	210	12	≥	≥	PROPN
ejpam-6355	210	13	0	0	NUM
ejpam-6355	210	14	,	,	PUNCT
ejpam-6355	210	15	x−	x−	PROPN
ejpam-6355	210	16	σ	σ	PROPN
ejpam-6355	210	17	≥	≥	PROPN
ejpam-6355	210	18	0	0	NUM
ejpam-6355	210	19	.	.	PUNCT
ejpam-6355	211	1	thus	thus	ADV
ejpam-6355	211	2	:	:	PUNCT
ejpam-6355	211	3	∥tu1	∥tu1	VERB
ejpam-6355	211	4	−	−	PROPN
ejpam-6355	211	5	tu2∥∞	tu2∥∞	PROPN
ejpam-6355	211	6	≤	≤	NUM
ejpam-6355	211	7	(	(	PUNCT
ejpam-6355	212	1	2λ2	2λ2	NUM
ejpam-6355	212	2	λ1	λ1	ADJ
ejpam-6355	212	3	+	+	CCONJ
ejpam-6355	212	4	λ4	λ4	PROPN
ejpam-6355	212	5	+	+	CCONJ
ejpam-6355	212	6	λ5	λ5	VERB
ejpam-6355	212	7	λ1	λ1	VERB
ejpam-6355	212	8	+	+	CCONJ
ejpam-6355	212	9	(	(	PUNCT
ejpam-6355	212	10	λ6	λ6	NOUN
ejpam-6355	212	11	+	+	CCONJ
ejpam-6355	212	12	λ7)n	λ7)n	ADV
ejpam-6355	212	13	2λ1	2λ1	NUM
ejpam-6355	212	14	)	)	PUNCT
ejpam-6355	212	15	∥u1	∥u1	X
ejpam-6355	212	16	−	−	PROPN
ejpam-6355	213	1	u2∥∞.	u2∥∞.	NOUN
ejpam-6355	213	2	this	this	DET
ejpam-6355	213	3	constant	constant	ADJ
ejpam-6355	213	4	may	may	AUX
ejpam-6355	213	5	not	not	PART
ejpam-6355	213	6	be	be	AUX
ejpam-6355	213	7	less	less	ADJ
ejpam-6355	213	8	than	than	ADP
ejpam-6355	213	9	1	1	NUM
ejpam-6355	213	10	,	,	PUNCT
ejpam-6355	213	11	so	so	SCONJ
ejpam-6355	213	12	t	t	PROPN
ejpam-6355	213	13	may	may	AUX
ejpam-6355	213	14	not	not	PART
ejpam-6355	213	15	be	be	AUX
ejpam-6355	213	16	a	a	DET
ejpam-6355	213	17	contraction	contraction	NOUN
ejpam-6355	213	18	.	.	PUNCT
ejpam-6355	214	1	for	for	ADP
ejpam-6355	214	2	the	the	DET
ejpam-6355	214	3	volterra	volterra	NOUN
ejpam-6355	214	4	-	-	PUNCT
ejpam-6355	214	5	type	type	NOUN
ejpam-6355	214	6	equation	equation	NOUN
ejpam-6355	214	7	,	,	PUNCT
ejpam-6355	214	8	consider	consider	VERB
ejpam-6355	214	9	t	t	PROPN
ejpam-6355	214	10	k.	k.	PROPN
ejpam-6355	214	11	for	for	ADP
ejpam-6355	214	12	k	k	PROPN
ejpam-6355	214	13	≥	≥	X
ejpam-6355	214	14	⌈	⌈	SYM
ejpam-6355	214	15	1	1	NUM
ejpam-6355	214	16	σ	σ	NOUN
ejpam-6355	214	17	⌉	⌉	NOUN
ejpam-6355	214	18	,	,	PUNCT
ejpam-6355	214	19	delay	delay	VERB
ejpam-6355	214	20	terms	term	NOUN
ejpam-6355	214	21	like	like	ADP
ejpam-6355	214	22	u(t	u(t	PROPN
ejpam-6355	214	23	−	−	PROPN
ejpam-6355	214	24	kσ	kσ	PROPN
ejpam-6355	214	25	)	)	PUNCT
ejpam-6355	214	26	in	in	ADP
ejpam-6355	214	27	t	t	PROPN
ejpam-6355	214	28	ku1	ku1	NOUN
ejpam-6355	215	1	−	−	PROPN
ejpam-6355	215	2	t	t	PROPN
ejpam-6355	215	3	ku2	ku2	NOUN
ejpam-6355	215	4	satisfy	satisfy	PROPN
ejpam-6355	215	5	t	t	PROPN
ejpam-6355	216	1	−	−	PROPN
ejpam-6355	216	2	kσ	kσ	PROPN
ejpam-6355	216	3	≤	≤	ADJ
ejpam-6355	216	4	1	1	NUM
ejpam-6355	216	5	−	−	NOUN
ejpam-6355	216	6	kσ	kσ	PROPN
ejpam-6355	216	7	≤	≤	ADV
ejpam-6355	216	8	0	0	NUM
ejpam-6355	216	9	,	,	PUNCT
ejpam-6355	216	10	since	since	SCONJ
ejpam-6355	216	11	t	t	PROPN
ejpam-6355	216	12	≤	≤	NUM
ejpam-6355	216	13	1	1	NUM
ejpam-6355	216	14	,	,	PUNCT
ejpam-6355	216	15	so	so	SCONJ
ejpam-6355	216	16	they	they	PRON
ejpam-6355	216	17	equal	equal	VERB
ejpam-6355	216	18	ϕ(t	ϕ(t	PROPN
ejpam-6355	216	19	−	−	PROPN
ejpam-6355	216	20	kσ	kσ	PROPN
ejpam-6355	216	21	)	)	PUNCT
ejpam-6355	216	22	,	,	PUNCT
ejpam-6355	216	23	making	make	VERB
ejpam-6355	216	24	their	their	PRON
ejpam-6355	216	25	differences	difference	NOUN
ejpam-6355	216	26	zero	zero	NUM
ejpam-6355	216	27	.	.	PUNCT
ejpam-6355	217	1	therefore	therefore	ADV
ejpam-6355	217	2	:	:	PUNCT
ejpam-6355	217	3	∫	∫	PROPN
ejpam-6355	217	4	t	t	PROPN
ejpam-6355	217	5	0	0	NUM
ejpam-6355	217	6	∫	∫	PROPN
ejpam-6355	217	7	s1	s1	PROPN
ejpam-6355	217	8	0	0	PUNCT
ejpam-6355	217	9	·	·	PUNCT
ejpam-6355	217	10	·	·	PUNCT
ejpam-6355	217	11	·	·	PUNCT
ejpam-6355	218	1	∫	∫	PROPN
ejpam-6355	219	1	sk−1	sk−1	PROPN
ejpam-6355	219	2	0	0	NUM
ejpam-6355	219	3	|u1(x	|u1(x	NUM
ejpam-6355	219	4	)	)	PUNCT
ejpam-6355	219	5	−	−	PROPN
ejpam-6355	220	1	u2(x)|	u2(x)|	ADJ
ejpam-6355	220	2	dx	dx	PROPN
ejpam-6355	220	3	dsk−1	dsk−1	PROPN
ejpam-6355	220	4	·	·	PUNCT
ejpam-6355	220	5	·	·	PUNCT
ejpam-6355	220	6	·	·	PUNCT
ejpam-6355	221	1	ds1	ds1	NOUN
ejpam-6355	221	2	≤	≤	NUM
ejpam-6355	221	3	1	1	NUM
ejpam-6355	221	4	k	k	X
ejpam-6355	221	5	!	!	PUNCT
ejpam-6355	221	6	∥u1	∥u1	X
ejpam-6355	221	7	−	−	PROPN
ejpam-6355	222	1	u2∥∞.	u2∥∞.	PUNCT
ejpam-6355	222	2	thus	thus	ADV
ejpam-6355	222	3	:	:	PUNCT
ejpam-6355	222	4	∥t	∥t	ADJ
ejpam-6355	222	5	ku1	ku1	NOUN
ejpam-6355	222	6	−	−	PROPN
ejpam-6355	222	7	t	t	PROPN
ejpam-6355	222	8	ku2∥∞	ku2∥∞	PROPN
ejpam-6355	222	9	≤	≤	PROPN
ejpam-6355	222	10	(	(	PUNCT
ejpam-6355	222	11	λ4	λ4	VERB
ejpam-6355	222	12	+	+	CCONJ
ejpam-6355	222	13	λ5	λ5	NOUN
ejpam-6355	222	14	+	+	CCONJ
ejpam-6355	222	15	(	(	PUNCT
ejpam-6355	222	16	λ6+λ7)n	λ6+λ7)n	ADJ
ejpam-6355	222	17	2	2	NUM
ejpam-6355	222	18	λ1	λ1	PROPN
ejpam-6355	222	19	1	1	NUM
ejpam-6355	222	20	k	k	NOUN
ejpam-6355	222	21	!	!	PUNCT
ejpam-6355	222	22	)	)	PUNCT
ejpam-6355	222	23	∥u1	∥u1	PUNCT
ejpam-6355	222	24	−	−	PROPN
ejpam-6355	223	1	u2∥∞.	u2∥∞.	PUNCT
ejpam-6355	223	2	choose	choose	VERB
ejpam-6355	223	3	k	k	PRON
ejpam-6355	223	4	such	such	ADJ
ejpam-6355	223	5	that	that	PRON
ejpam-6355	223	6	:	:	PUNCT
ejpam-6355	223	7	λ4	λ4	VERB
ejpam-6355	223	8	+	+	CCONJ
ejpam-6355	223	9	λ5	λ5	NOUN
ejpam-6355	223	10	+	+	CCONJ
ejpam-6355	223	11	(	(	PUNCT
ejpam-6355	223	12	λ6+λ7)n	λ6+λ7)n	ADJ
ejpam-6355	223	13	2	2	NUM
ejpam-6355	223	14	λ1	λ1	PROPN
ejpam-6355	223	15	1	1	NUM
ejpam-6355	223	16	k	k	NOUN
ejpam-6355	223	17	!	!	PUNCT
ejpam-6355	223	18	<	<	X
ejpam-6355	224	1	1	1	NUM
ejpam-6355	224	2	,	,	PUNCT
ejpam-6355	224	3	so	so	SCONJ
ejpam-6355	224	4	t	t	PROPN
ejpam-6355	224	5	k	k	PROPN
ejpam-6355	224	6	is	be	AUX
ejpam-6355	224	7	a	a	DET
ejpam-6355	224	8	contraction	contraction	NOUN
ejpam-6355	224	9	.	.	PUNCT
ejpam-6355	225	1	by	by	ADP
ejpam-6355	225	2	the	the	DET
ejpam-6355	225	3	banach	banach	ADV
ejpam-6355	225	4	fixed	fix	VERB
ejpam-6355	225	5	-	-	PUNCT
ejpam-6355	225	6	point	point	NOUN
ejpam-6355	225	7	theorem	theorem	NOUN
ejpam-6355	225	8	,	,	PUNCT
ejpam-6355	225	9	t	t	PROPN
ejpam-6355	225	10	has	have	VERB
ejpam-6355	225	11	a	a	DET
ejpam-6355	225	12	unique	unique	ADJ
ejpam-6355	225	13	fixed	fix	VERB
ejpam-6355	225	14	point	point	NOUN
ejpam-6355	225	15	in	in	ADP
ejpam-6355	225	16	c([0	c([0	NOUN
ejpam-6355	225	17	,	,	PUNCT
ejpam-6355	225	18	1	1	NUM
ejpam-6355	225	19	]	]	PUNCT
ejpam-6355	225	20	)	)	PUNCT
ejpam-6355	225	21	.	.	PUNCT
ejpam-6355	226	1	by	by	ADP
ejpam-6355	226	2	lemma	lemma	PROPN
ejpam-6355	226	3	1	1	NUM
ejpam-6355	226	4	,	,	PUNCT
ejpam-6355	226	5	the	the	DET
ejpam-6355	226	6	dvide	dvide	NOUN
ejpam-6355	226	7	has	have	VERB
ejpam-6355	226	8	a	a	DET
ejpam-6355	226	9	unique	unique	ADJ
ejpam-6355	226	10	solution	solution	NOUN
ejpam-6355	226	11	in	in	ADP
ejpam-6355	226	12	c1([0	c1([0	PROPN
ejpam-6355	226	13	,	,	PUNCT
ejpam-6355	226	14	1	1	NUM
ejpam-6355	226	15	]	]	NUM
ejpam-6355	226	16	)	)	PUNCT
ejpam-6355	226	17	.	.	PUNCT
ejpam-6355	227	1	4	4	X
ejpam-6355	227	2	.	.	X
ejpam-6355	227	3	methodology	methodology	NOUN
ejpam-6355	227	4	this	this	DET
ejpam-6355	227	5	section	section	NOUN
ejpam-6355	227	6	outlines	outline	VERB
ejpam-6355	227	7	the	the	DET
ejpam-6355	227	8	numerical	numerical	ADJ
ejpam-6355	227	9	scheme	scheme	NOUN
ejpam-6355	227	10	devised	devise	VERB
ejpam-6355	227	11	for	for	ADP
ejpam-6355	227	12	solving	solve	VERB
ejpam-6355	227	13	dides	dide	NOUN
ejpam-6355	227	14	.	.	PUNCT
ejpam-6355	228	1	the	the	DET
ejpam-6355	228	2	key	key	ADJ
ejpam-6355	228	3	steps	step	NOUN
ejpam-6355	228	4	involved	involve	VERB
ejpam-6355	228	5	are	be	AUX
ejpam-6355	228	6	:	:	PUNCT
ejpam-6355	228	7	(	(	PUNCT
ejpam-6355	228	8	i	i	NOUN
ejpam-6355	228	9	)	)	PUNCT
ejpam-6355	228	10	applying	apply	VERB
ejpam-6355	228	11	the	the	DET
ejpam-6355	228	12	lt	lt	NOUN
ejpam-6355	228	13	to	to	PART
ejpam-6355	228	14	transform	transform	VERB
ejpam-6355	228	15	the	the	DET
ejpam-6355	228	16	dide	dide	NOUN
ejpam-6355	228	17	to	to	ADP
ejpam-6355	228	18	an	an	DET
ejpam-6355	228	19	algebraic	algebraic	ADJ
ejpam-6355	228	20	equation	equation	NOUN
ejpam-6355	228	21	in	in	ADP
ejpam-6355	228	22	the	the	DET
ejpam-6355	228	23	lt	lt	NOUN
ejpam-6355	228	24	domain	domain	NOUN
ejpam-6355	228	25	;	;	PUNCT
ejpam-6355	228	26	(	(	PUNCT
ejpam-6355	228	27	ii	ii	X
ejpam-6355	228	28	)	)	PUNCT
ejpam-6355	228	29	the	the	DET
ejpam-6355	228	30	resulting	result	VERB
ejpam-6355	228	31	algebraic	algebraic	ADJ
ejpam-6355	228	32	equation	equation	NOUN
ejpam-6355	228	33	is	be	AUX
ejpam-6355	228	34	solved	solve	VERB
ejpam-6355	228	35	in	in	ADP
ejpam-6355	228	36	the	the	DET
ejpam-6355	228	37	transformed	transform	VERB
ejpam-6355	228	38	domain	domain	NOUN
ejpam-6355	228	39	;	;	PUNCT
ejpam-6355	228	40	and	and	CCONJ
ejpam-6355	228	41	(	(	PUNCT
ejpam-6355	228	42	iii	iii	NOUN
ejpam-6355	228	43	)	)	PUNCT
ejpam-6355	228	44	utilizing	utilize	VERB
ejpam-6355	228	45	the	the	DET
ejpam-6355	228	46	inverse	inverse	NOUN
ejpam-6355	228	47	lt	lt	NOUN
ejpam-6355	228	48	to	to	PART
ejpam-6355	228	49	retrieve	retrieve	VERB
ejpam-6355	228	50	the	the	DET
ejpam-6355	228	51	solution	solution	NOUN
ejpam-6355	228	52	in	in	ADP
ejpam-6355	228	53	the	the	DET
ejpam-6355	228	54	time	time	NOUN
ejpam-6355	228	55	domain	domain	NOUN
ejpam-6355	228	56	.	.	PUNCT
ejpam-6355	229	1	kamran	kamran	PROPN
ejpam-6355	229	2	et	et	PROPN
ejpam-6355	229	3	al	al	PROPN
ejpam-6355	229	4	.	.	PUNCT
ejpam-6355	229	5	/	/	SYM
ejpam-6355	229	6	eur	eur	PROPN
ejpam-6355	229	7	.	.	PUNCT
ejpam-6355	230	1	j.	j.	PROPN
ejpam-6355	230	2	pure	pure	PROPN
ejpam-6355	230	3	appl	appl	PROPN
ejpam-6355	230	4	.	.	PROPN
ejpam-6355	230	5	math	math	PROPN
ejpam-6355	230	6	,	,	PUNCT
ejpam-6355	230	7	18	18	NUM
ejpam-6355	230	8	(	(	PUNCT
ejpam-6355	230	9	3	3	NUM
ejpam-6355	230	10	)	)	PUNCT
ejpam-6355	230	11	(	(	PUNCT
ejpam-6355	230	12	2025	2025	NUM
ejpam-6355	230	13	)	)	PUNCT
ejpam-6355	230	14	,	,	PUNCT
ejpam-6355	230	15	6355	6355	NUM
ejpam-6355	230	16	8	8	NUM
ejpam-6355	230	17	of	of	ADP
ejpam-6355	230	18	22	22	NUM
ejpam-6355	230	19	4.1	4.1	NUM
ejpam-6355	230	20	.	.	PUNCT
ejpam-6355	231	1	laplace	laplace	NOUN
ejpam-6355	231	2	transform	transform	VERB
ejpam-6355	231	3	application	application	NOUN
ejpam-6355	231	4	by	by	ADP
ejpam-6355	231	5	applying	apply	VERB
ejpam-6355	231	6	the	the	DET
ejpam-6355	231	7	lt	lt	NOUN
ejpam-6355	231	8	to	to	ADP
ejpam-6355	231	9	eq	eq	PROPN
ejpam-6355	231	10	.	.	PUNCT
ejpam-6355	232	1	(	(	PUNCT
ejpam-6355	232	2	1	1	NUM
ejpam-6355	232	3	)	)	PUNCT
ejpam-6355	232	4	,	,	PUNCT
ejpam-6355	232	5	we	we	PRON
ejpam-6355	232	6	obtain	obtain	VERB
ejpam-6355	232	7	:	:	PUNCT
ejpam-6355	232	8	l	l	NOUN
ejpam-6355	232	9	{	{	PUNCT
ejpam-6355	232	10	λ1	λ1	ADJ
ejpam-6355	232	11	du(t	du(t	NOUN
ejpam-6355	232	12	)	)	PUNCT
ejpam-6355	232	13	dt	dt	X
ejpam-6355	233	1	+	+	CCONJ
ejpam-6355	233	2	λ2	λ2	PROPN
ejpam-6355	233	3	du(t−	du(t−	PROPN
ejpam-6355	233	4	σ	σ	NOUN
ejpam-6355	233	5	)	)	PUNCT
ejpam-6355	233	6	dt	dt	NOUN
ejpam-6355	233	7	=	=	SYM
ejpam-6355	233	8	λ3f(t	λ3f(t	PROPN
ejpam-6355	233	9	)	)	PUNCT
ejpam-6355	234	1	+	+	CCONJ
ejpam-6355	234	2	λ4u(t	λ4u(t	PROPN
ejpam-6355	234	3	)	)	PUNCT
ejpam-6355	235	1	+	+	NUM
ejpam-6355	235	2	λ5u(t−	λ5u(t−	PROPN
ejpam-6355	235	3	σ	σ	PROPN
ejpam-6355	235	4	)	)	PUNCT
ejpam-6355	236	1	+	+	NUM
ejpam-6355	237	1	∫	∫	PROPN
ejpam-6355	237	2	t	t	NOUN
ejpam-6355	237	3	0	0	NUM
ejpam-6355	237	4	k(t	k(t	NOUN
ejpam-6355	237	5	,	,	PUNCT
ejpam-6355	237	6	x	x	X
ejpam-6355	237	7	)	)	PUNCT
ejpam-6355	237	8	(	(	PUNCT
ejpam-6355	237	9	λ6u(x	λ6u(x	PROPN
ejpam-6355	237	10	)	)	PUNCT
ejpam-6355	237	11	+	+	CCONJ
ejpam-6355	237	12	λ7u(x−	λ7u(x−	PROPN
ejpam-6355	237	13	σ	σ	PROPN
ejpam-6355	237	14	)	)	PUNCT
ejpam-6355	237	15	)	)	PUNCT
ejpam-6355	237	16	dx	dx	PROPN
ejpam-6355	237	17	}	}	PUNCT
ejpam-6355	237	18	,	,	PUNCT
ejpam-6355	237	19	or	or	CCONJ
ejpam-6355	237	20	l	l	NOUN
ejpam-6355	237	21	{	{	PUNCT
ejpam-6355	237	22	λ1	λ1	ADJ
ejpam-6355	237	23	du(t	du(t	NOUN
ejpam-6355	237	24	)	)	PUNCT
ejpam-6355	237	25	dt	dt	PUNCT
ejpam-6355	237	26	}	}	PUNCT
ejpam-6355	238	1	+	+	NUM
ejpam-6355	238	2	l	l	NOUN
ejpam-6355	238	3	{	{	PUNCT
ejpam-6355	238	4	λ2	λ2	NOUN
ejpam-6355	238	5	du(t−	du(t−	PROPN
ejpam-6355	238	6	σ	σ	NOUN
ejpam-6355	238	7	)	)	PUNCT
ejpam-6355	238	8	dt	dt	NOUN
ejpam-6355	238	9	}	}	PUNCT
ejpam-6355	238	10	=	=	SYM
ejpam-6355	238	11	l	l	NOUN
ejpam-6355	238	12	{	{	PUNCT
ejpam-6355	238	13	λ3f(t	λ3f(t	PROPN
ejpam-6355	238	14	)	)	PUNCT
ejpam-6355	238	15	}	}	PUNCT
ejpam-6355	239	1	+	+	CCONJ
ejpam-6355	239	2	l	l	NOUN
ejpam-6355	239	3	{	{	PUNCT
ejpam-6355	239	4	λ4u(t	λ4u(t	PROPN
ejpam-6355	239	5	)	)	PUNCT
ejpam-6355	239	6	}	}	PUNCT
ejpam-6355	240	1	+	+	NUM
ejpam-6355	240	2	l	l	NOUN
ejpam-6355	240	3	{	{	PUNCT
ejpam-6355	240	4	λ5u(t−	λ5u(t−	PROPN
ejpam-6355	240	5	σ	σ	PROPN
ejpam-6355	240	6	)	)	PUNCT
ejpam-6355	240	7	}	}	PUNCT
ejpam-6355	241	1	+	+	NUM
ejpam-6355	241	2	l	l	NOUN
ejpam-6355	241	3	{	{	PUNCT
ejpam-6355	241	4	∫	∫	PROPN
ejpam-6355	241	5	t	t	PROPN
ejpam-6355	241	6	0	0	PUNCT
ejpam-6355	242	1	k(t	k(t	NOUN
ejpam-6355	242	2	,	,	PUNCT
ejpam-6355	242	3	x	x	X
ejpam-6355	242	4	)	)	PUNCT
ejpam-6355	242	5	(	(	PUNCT
ejpam-6355	242	6	λ6u(x	λ6u(x	PROPN
ejpam-6355	242	7	)	)	PUNCT
ejpam-6355	242	8	+	+	CCONJ
ejpam-6355	242	9	λ7u(x−	λ7u(x−	PROPN
ejpam-6355	242	10	σ	σ	PROPN
ejpam-6355	242	11	)	)	PUNCT
ejpam-6355	242	12	)	)	PUNCT
ejpam-6355	242	13	dx	dx	PROPN
ejpam-6355	242	14	}	}	PUNCT
ejpam-6355	242	15	,	,	PUNCT
ejpam-6355	242	16	which	which	PRON
ejpam-6355	242	17	leads	lead	VERB
ejpam-6355	242	18	to	to	ADP
ejpam-6355	242	19	λ1{zû(z	λ1{zû(z	NOUN
ejpam-6355	242	20	)	)	PUNCT
ejpam-6355	242	21	−	−	PROPN
ejpam-6355	243	1	u(0	u(0	NOUN
ejpam-6355	243	2	)	)	PUNCT
ejpam-6355	243	3	}	}	PUNCT
ejpam-6355	244	1	+	+	X
ejpam-6355	244	2	λ2	λ2	NOUN
ejpam-6355	244	3	{	{	PUNCT
ejpam-6355	244	4	¯̄ϕ(z	¯̄ϕ(z	PROPN
ejpam-6355	244	5	)	)	PUNCT
ejpam-6355	244	6	+	+	CCONJ
ejpam-6355	244	7	e−zσ	e−zσ	PROPN
ejpam-6355	244	8	{	{	PUNCT
ejpam-6355	244	9	zû(z	zû(z	NOUN
ejpam-6355	244	10	)	)	PUNCT
ejpam-6355	244	11	−	−	PROPN
ejpam-6355	244	12	u(0	u(0	NOUN
ejpam-6355	244	13	)	)	PUNCT
ejpam-6355	244	14	}	}	PUNCT
ejpam-6355	244	15	=	=	SYM
ejpam-6355	244	16	λ3f̂(z	λ3f̂(z	NOUN
ejpam-6355	244	17	)	)	PUNCT
ejpam-6355	244	18	+	+	CCONJ
ejpam-6355	244	19	λ4û(z	λ4û(z	NOUN
ejpam-6355	244	20	)	)	PUNCT
ejpam-6355	245	1	+	+	CCONJ
ejpam-6355	245	2	λ5{ϕ̄(z	λ5{ϕ̄(z	PROPN
ejpam-6355	245	3	)	)	PUNCT
ejpam-6355	246	1	+	+	CCONJ
ejpam-6355	246	2	e−zσû(z	e−zσû(z	NOUN
ejpam-6355	246	3	)	)	PUNCT
ejpam-6355	246	4	}	}	PUNCT
ejpam-6355	247	1	+	+	PUNCT
ejpam-6355	247	2	k̂(z	k̂(z	NOUN
ejpam-6355	247	3	)	)	PUNCT
ejpam-6355	247	4	{	{	PUNCT
ejpam-6355	247	5	λ6û(z	λ6û(z	PROPN
ejpam-6355	247	6	)	)	PUNCT
ejpam-6355	247	7	+	+	CCONJ
ejpam-6355	247	8	λ7{ϕ̄(z	λ7{ϕ̄(z	PROPN
ejpam-6355	247	9	)	)	PUNCT
ejpam-6355	247	10	+	+	CCONJ
ejpam-6355	247	11	e−zσû(z	e−zσû(z	NOUN
ejpam-6355	247	12	)	)	PUNCT
ejpam-6355	247	13	}	}	PUNCT
ejpam-6355	247	14	}	}	PUNCT
ejpam-6355	247	15	,	,	PUNCT
ejpam-6355	247	16	which	which	PRON
ejpam-6355	247	17	implies	imply	VERB
ejpam-6355	247	18	{	{	PUNCT
ejpam-6355	247	19	λ1z	λ1z	VERB
ejpam-6355	247	20	+	+	NUM
ejpam-6355	247	21	λ2ze	λ2ze	PUNCT
ejpam-6355	247	22	−zσ	−zσ	PROPN
ejpam-6355	248	1	−	−	PROPN
ejpam-6355	248	2	λ4	λ4	ADJ
ejpam-6355	248	3	−	−	PROPN
ejpam-6355	248	4	λ5e	λ5e	VERB
ejpam-6355	248	5	−zσ	−zσ	PROPN
ejpam-6355	248	6	−	−	NOUN
ejpam-6355	248	7	k̂(z)(λ6	k̂(z)(λ6	X
ejpam-6355	248	8	+	+	CCONJ
ejpam-6355	248	9	λ7e	λ7e	PROPN
ejpam-6355	248	10	−zσ	−zσ	NOUN
ejpam-6355	248	11	)	)	PUNCT
ejpam-6355	248	12	}	}	PUNCT
ejpam-6355	248	13	û(z	û(z	VERB
ejpam-6355	248	14	)	)	PUNCT
ejpam-6355	248	15	=	=	PUNCT
ejpam-6355	249	1	λ1u0	λ1u0	PUNCT
ejpam-6355	249	2	−	−	NUM
ejpam-6355	249	3	λ2	λ2	PROPN
ejpam-6355	249	4	¯̄ϕ(z	¯̄ϕ(z	PROPN
ejpam-6355	249	5	)	)	PUNCT
ejpam-6355	249	6	+	+	NUM
ejpam-6355	249	7	λ2e	λ2e	PROPN
ejpam-6355	249	8	−zσu0	−zσu0	NOUN
ejpam-6355	249	9	+	+	CCONJ
ejpam-6355	249	10	λ3f̂(z	λ3f̂(z	NOUN
ejpam-6355	249	11	)	)	PUNCT
ejpam-6355	249	12	+	+	NUM
ejpam-6355	249	13	λ5ϕ̄(z	λ5ϕ̄(z	NOUN
ejpam-6355	249	14	)	)	PUNCT
ejpam-6355	249	15	+	+	NUM
ejpam-6355	249	16	λ7k̂(z)ϕ̄(z	λ7k̂(z)ϕ̄(z	PROPN
ejpam-6355	249	17	)	)	PUNCT
ejpam-6355	249	18	,	,	PUNCT
ejpam-6355	249	19	leads	lead	VERB
ejpam-6355	249	20	to	to	ADP
ejpam-6355	249	21	û(z	û(z	VERB
ejpam-6355	249	22	)	)	PUNCT
ejpam-6355	249	23	=	=	PUNCT
ejpam-6355	250	1	λ1u0	λ1u0	PUNCT
ejpam-6355	250	2	−	−	NUM
ejpam-6355	250	3	λ2	λ2	PROPN
ejpam-6355	250	4	¯̄ϕ(z	¯̄ϕ(z	PROPN
ejpam-6355	250	5	)	)	PUNCT
ejpam-6355	250	6	+	+	NUM
ejpam-6355	250	7	λ2e	λ2e	PROPN
ejpam-6355	250	8	−zσu0	−zσu0	NOUN
ejpam-6355	250	9	+	+	CCONJ
ejpam-6355	250	10	λ3f̂(z	λ3f̂(z	NOUN
ejpam-6355	250	11	)	)	PUNCT
ejpam-6355	250	12	+	+	NUM
ejpam-6355	250	13	λ5ϕ̄(z	λ5ϕ̄(z	NOUN
ejpam-6355	250	14	)	)	PUNCT
ejpam-6355	251	1	+	+	NUM
ejpam-6355	251	2	λ7k̂(z)ϕ̄(z	λ7k̂(z)ϕ̄(z	PROPN
ejpam-6355	251	3	)	)	PUNCT
ejpam-6355	252	1	λ1z	λ1z	PUNCT
ejpam-6355	253	1	+	+	CCONJ
ejpam-6355	253	2	λ2ze−zσ	λ2ze−zσ	PROPN
ejpam-6355	253	3	−	−	PROPN
ejpam-6355	253	4	λ4	λ4	PROPN
ejpam-6355	253	5	−	−	PROPN
ejpam-6355	254	1	λ5e−zσ	λ5e−zσ	INTJ
ejpam-6355	254	2	−	−	PROPN
ejpam-6355	254	3	k̂(z)(λ6	k̂(z)(λ6	X
ejpam-6355	254	4	+	+	CCONJ
ejpam-6355	254	5	λ7e−zσ	λ7e−zσ	NOUN
ejpam-6355	254	6	)	)	PUNCT
ejpam-6355	254	7	,	,	PUNCT
ejpam-6355	254	8	hance	hance	PROPN
ejpam-6355	254	9	,	,	PUNCT
ejpam-6355	254	10	the	the	DET
ejpam-6355	254	11	solution	solution	NOUN
ejpam-6355	254	12	of	of	ADP
ejpam-6355	254	13	problem	problem	NOUN
ejpam-6355	254	14	in	in	ADP
ejpam-6355	254	15	eq	eq	ADP
ejpam-6355	254	16	.	.	PUNCT
ejpam-6355	255	1	(	(	PUNCT
ejpam-6355	255	2	1	1	X
ejpam-6355	255	3	)	)	PUNCT
ejpam-6355	255	4	can	can	AUX
ejpam-6355	255	5	be	be	AUX
ejpam-6355	255	6	obtained	obtain	VERB
ejpam-6355	255	7	by	by	ADP
ejpam-6355	255	8	applying	apply	VERB
ejpam-6355	255	9	the	the	DET
ejpam-6355	255	10	inverse	inverse	NOUN
ejpam-6355	255	11	lt	lt	ADP
ejpam-6355	255	12	as	as	ADP
ejpam-6355	255	13	:	:	PUNCT
ejpam-6355	255	14	u(t	u(t	NOUN
ejpam-6355	255	15	)	)	PUNCT
ejpam-6355	255	16	=	=	SYM
ejpam-6355	255	17	1	1	NUM
ejpam-6355	255	18	2πi	2πi	ADJ
ejpam-6355	255	19	∫	∫	PROPN
ejpam-6355	255	20	γ+i∞	γ+i∞	ADJ
ejpam-6355	255	21	γ−i∞	γ−i∞	PROPN
ejpam-6355	255	22	eztû(z)dz	eztû(z)dz	VERB
ejpam-6355	255	23	γ	γ	PROPN
ejpam-6355	255	24	>	>	X
ejpam-6355	255	25	γ0	γ0	PROPN
ejpam-6355	255	26	.	.	PUNCT
ejpam-6355	256	1	(	(	PUNCT
ejpam-6355	256	2	2	2	X
ejpam-6355	256	3	)	)	PUNCT
ejpam-6355	256	4	the	the	DET
ejpam-6355	256	5	function	function	NOUN
ejpam-6355	256	6	û(z	û(z	NOUN
ejpam-6355	256	7	)	)	PUNCT
ejpam-6355	256	8	is	be	AUX
ejpam-6355	256	9	presumed	presume	VERB
ejpam-6355	256	10	to	to	PART
ejpam-6355	256	11	be	be	AUX
ejpam-6355	256	12	analytic	analytic	ADJ
ejpam-6355	256	13	within	within	ADP
ejpam-6355	256	14	the	the	DET
ejpam-6355	256	15	half	half	ADJ
ejpam-6355	256	16	-	-	PUNCT
ejpam-6355	256	17	plane	plane	NOUN
ejpam-6355	256	18	defined	define	VERB
ejpam-6355	256	19	by	by	ADP
ejpam-6355	256	20	ℜ(z	ℜ(z	NOUN
ejpam-6355	256	21	)	)	PUNCT
ejpam-6355	256	22	>	>	X
ejpam-6355	256	23	γ0	γ0	PROPN
ejpam-6355	256	24	,	,	PUNCT
ejpam-6355	256	25	where	where	SCONJ
ejpam-6355	256	26	γ0	γ0	NOUN
ejpam-6355	256	27	represents	represent	VERB
ejpam-6355	256	28	the	the	DET
ejpam-6355	256	29	convergence	convergence	NOUN
ejpam-6355	256	30	abscissa	abscissa	ADJ
ejpam-6355	256	31	.	.	PUNCT
ejpam-6355	257	1	our	our	PRON
ejpam-6355	257	2	objective	objective	NOUN
ejpam-6355	257	3	is	be	AUX
ejpam-6355	257	4	to	to	PART
ejpam-6355	257	5	evaluate	evaluate	VERB
ejpam-6355	257	6	the	the	DET
ejpam-6355	257	7	original	original	ADJ
ejpam-6355	257	8	solution	solution	NOUN
ejpam-6355	257	9	u(t	u(t	NOUN
ejpam-6355	257	10	)	)	PUNCT
ejpam-6355	257	11	for	for	ADP
ejpam-6355	257	12	one	one	NUM
ejpam-6355	257	13	or	or	CCONJ
ejpam-6355	257	14	more	more	ADJ
ejpam-6355	257	15	values	value	NOUN
ejpam-6355	257	16	of	of	ADP
ejpam-6355	257	17	t	t	PROPN
ejpam-6355	257	18	>	>	X
ejpam-6355	257	19	0	0	X
ejpam-6355	257	20	.	.	PUNCT
ejpam-6355	258	1	typically	typically	ADV
ejpam-6355	258	2	,	,	PUNCT
ejpam-6355	258	3	a	a	DET
ejpam-6355	258	4	contour	contour	NOUN
ejpam-6355	258	5	c	c	NOUN
ejpam-6355	258	6	is	be	AUX
ejpam-6355	258	7	selected	select	VERB
ejpam-6355	258	8	connecting	connect	VERB
ejpam-6355	258	9	the	the	DET
ejpam-6355	258	10	points	point	NOUN
ejpam-6355	258	11	γ−	γ−	PROPN
ejpam-6355	258	12	i∞	i∞	NOUN
ejpam-6355	258	13	and	and	CCONJ
ejpam-6355	258	14	γ+	γ+	PUNCT
ejpam-6355	258	15	i∞	i∞	ADV
ejpam-6355	258	16	along	along	ADP
ejpam-6355	258	17	a	a	DET
ejpam-6355	258	18	line	line	NOUN
ejpam-6355	258	19	ℜ(z	ℜ(z	NUM
ejpam-6355	258	20	)	)	PUNCT
ejpam-6355	258	21	=	=	SYM
ejpam-6355	258	22	γ	γ	X
ejpam-6355	258	23	.	.	PUNCT
ejpam-6355	258	24	nevertheless	nevertheless	ADV
ejpam-6355	258	25	,	,	PUNCT
ejpam-6355	258	26	using	use	VERB
ejpam-6355	258	27	cauchy	cauchy	PROPN
ejpam-6355	258	28	’s	’s	PART
ejpam-6355	258	29	theorem	theorem	NOUN
ejpam-6355	258	30	allows	allow	VERB
ejpam-6355	258	31	for	for	ADP
ejpam-6355	258	32	the	the	DET
ejpam-6355	258	33	deformation	deformation	NOUN
ejpam-6355	258	34	of	of	ADP
ejpam-6355	258	35	c	c	PROPN
ejpam-6355	258	36	into	into	ADP
ejpam-6355	258	37	a	a	DET
ejpam-6355	258	38	shape	shape	NOUN
ejpam-6355	258	39	that	that	PRON
ejpam-6355	258	40	is	be	AUX
ejpam-6355	258	41	suitable	suitable	ADJ
ejpam-6355	258	42	for	for	ADP
ejpam-6355	258	43	the	the	DET
ejpam-6355	258	44	approximation	approximation	NOUN
ejpam-6355	258	45	of	of	ADP
ejpam-6355	258	46	(	(	PUNCT
ejpam-6355	258	47	2	2	NUM
ejpam-6355	258	48	)	)	PUNCT
ejpam-6355	258	49	.	.	PUNCT
ejpam-6355	259	1	kamran	kamran	PROPN
ejpam-6355	259	2	et	et	PROPN
ejpam-6355	259	3	al	al	PROPN
ejpam-6355	259	4	.	.	PUNCT
ejpam-6355	259	5	/	/	SYM
ejpam-6355	259	6	eur	eur	PROPN
ejpam-6355	259	7	.	.	PUNCT
ejpam-6355	260	1	j.	j.	PROPN
ejpam-6355	260	2	pure	pure	PROPN
ejpam-6355	260	3	appl	appl	PROPN
ejpam-6355	260	4	.	.	PROPN
ejpam-6355	260	5	math	math	PROPN
ejpam-6355	260	6	,	,	PUNCT
ejpam-6355	260	7	18	18	NUM
ejpam-6355	260	8	(	(	PUNCT
ejpam-6355	260	9	3	3	NUM
ejpam-6355	260	10	)	)	PUNCT
ejpam-6355	260	11	(	(	PUNCT
ejpam-6355	260	12	2025	2025	NUM
ejpam-6355	260	13	)	)	PUNCT
ejpam-6355	260	14	,	,	PUNCT
ejpam-6355	260	15	6355	6355	NUM
ejpam-6355	260	16	9	9	NUM
ejpam-6355	260	17	of	of	ADP
ejpam-6355	260	18	22	22	NUM
ejpam-6355	260	19	4.2	4.2	NUM
ejpam-6355	260	20	.	.	PUNCT
ejpam-6355	261	1	gauss	gauss	ADJ
ejpam-6355	261	2	-	-	PUNCT
ejpam-6355	261	3	hermite	hermite	ADJ
ejpam-6355	261	4	-	-	PUNCT
ejpam-6355	261	5	quadrature	quadrature	NOUN
ejpam-6355	261	6	method	method	NOUN
ejpam-6355	261	7	the	the	DET
ejpam-6355	261	8	ghq	ghq	NOUN
ejpam-6355	261	9	method	method	NOUN
ejpam-6355	261	10	is	be	AUX
ejpam-6355	261	11	a	a	DET
ejpam-6355	261	12	numerical	numerical	ADJ
ejpam-6355	261	13	integration	integration	NOUN
ejpam-6355	261	14	technique	technique	NOUN
ejpam-6355	261	15	that	that	PRON
ejpam-6355	261	16	approximates	approximate	VERB
ejpam-6355	261	17	the	the	DET
ejpam-6355	261	18	integral	integral	NOUN
ejpam-6355	261	19	of	of	ADP
ejpam-6355	261	20	functions	function	NOUN
ejpam-6355	261	21	multiplied	multiply	VERB
ejpam-6355	261	22	by	by	ADP
ejpam-6355	261	23	a	a	DET
ejpam-6355	261	24	gaussian	gaussian	ADJ
ejpam-6355	261	25	weight	weight	NOUN
ejpam-6355	261	26	function	function	NOUN
ejpam-6355	261	27	exp(−κ2	exp(−κ2	ADJ
ejpam-6355	261	28	)	)	PUNCT
ejpam-6355	261	29	.	.	PUNCT
ejpam-6355	262	1	it	it	PRON
ejpam-6355	262	2	is	be	AUX
ejpam-6355	262	3	especially	especially	ADV
ejpam-6355	262	4	useful	useful	ADJ
ejpam-6355	262	5	for	for	ADP
ejpam-6355	262	6	integrals	integral	NOUN
ejpam-6355	262	7	of	of	ADP
ejpam-6355	262	8	the	the	DET
ejpam-6355	262	9	form	form	NOUN
ejpam-6355	262	10	∫	∫	X
ejpam-6355	262	11	∞	∞	PROPN
ejpam-6355	262	12	−∞	−∞	ADP
ejpam-6355	262	13	exp(−t2)g(t)dt	exp(−t2)g(t)dt	NUM
ejpam-6355	262	14	(	(	PUNCT
ejpam-6355	262	15	3	3	X
ejpam-6355	262	16	)	)	PUNCT
ejpam-6355	262	17	the	the	DET
ejpam-6355	262	18	ghq	ghq	NOUN
ejpam-6355	262	19	method	method	NOUN
ejpam-6355	262	20	approximates	approximate	VERB
ejpam-6355	262	21	eq	eq	ADJ
ejpam-6355	262	22	.	.	PUNCT
ejpam-6355	263	1	(	(	PUNCT
ejpam-6355	263	2	3	3	NUM
ejpam-6355	263	3	)	)	PUNCT
ejpam-6355	263	4	by	by	ADP
ejpam-6355	263	5	evaluating	evaluate	VERB
ejpam-6355	263	6	the	the	DET
ejpam-6355	263	7	function	function	NOUN
ejpam-6355	263	8	u(t	u(t	NOUN
ejpam-6355	263	9	)	)	PUNCT
ejpam-6355	263	10	at	at	ADP
ejpam-6355	263	11	certain	certain	ADJ
ejpam-6355	263	12	nodes	node	NOUN
ejpam-6355	263	13	and	and	CCONJ
ejpam-6355	263	14	weighting	weight	VERB
ejpam-6355	263	15	them	they	PRON
ejpam-6355	263	16	appropriately[21]∫	appropriately[21]∫	X
ejpam-6355	263	17	∞	∞	PROPN
ejpam-6355	263	18	−∞	−∞	ADP
ejpam-6355	263	19	exp(−t2)g(t)dt	exp(−t2)g(t)dt	PUNCT
ejpam-6355	263	20	≈	≈	PROPN
ejpam-6355	263	21	ν∑	ν∑	PROPN
ejpam-6355	263	22	ϱ=1	ϱ=1	NUM
ejpam-6355	263	23	ηϱg(tϱ	ηϱg(tϱ	NOUN
ejpam-6355	263	24	)	)	PUNCT
ejpam-6355	263	25	,	,	PUNCT
ejpam-6355	263	26	(	(	PUNCT
ejpam-6355	263	27	4	4	X
ejpam-6355	263	28	)	)	PUNCT
ejpam-6355	263	29	where	where	SCONJ
ejpam-6355	263	30	•	•	NOUN
ejpam-6355	263	31	tϱ	tϱ	PRON
ejpam-6355	263	32	represents	represent	VERB
ejpam-6355	263	33	the	the	DET
ejpam-6355	263	34	roots	root	NOUN
ejpam-6355	263	35	of	of	ADP
ejpam-6355	263	36	hermite	hermite	ADJ
ejpam-6355	263	37	polynomial	polynomial	ADJ
ejpam-6355	263	38	hν(t	hν(t	NOUN
ejpam-6355	263	39	)	)	PUNCT
ejpam-6355	263	40	,	,	PUNCT
ejpam-6355	263	41	of	of	ADP
ejpam-6355	263	42	degree	degree	NOUN
ejpam-6355	263	43	ν	ν	NOUN
ejpam-6355	263	44	,	,	PUNCT
ejpam-6355	263	45	•	•	NUM
ejpam-6355	263	46	ηϱ	ηϱ	NOUN
ejpam-6355	263	47	are	be	AUX
ejpam-6355	263	48	the	the	DET
ejpam-6355	263	49	associated	associated	ADJ
ejpam-6355	263	50	weights	weight	NOUN
ejpam-6355	263	51	,	,	PUNCT
ejpam-6355	263	52	the	the	DET
ejpam-6355	263	53	ηϱ	ηϱ	NOUN
ejpam-6355	263	54	are	be	AUX
ejpam-6355	263	55	uniquely	uniquely	ADV
ejpam-6355	263	56	determined	determine	VERB
ejpam-6355	263	57	by	by	ADP
ejpam-6355	263	58	the	the	DET
ejpam-6355	263	59	fact	fact	NOUN
ejpam-6355	263	60	that	that	SCONJ
ejpam-6355	263	61	,	,	PUNCT
ejpam-6355	263	62	for	for	ADP
ejpam-6355	263	63	a	a	DET
ejpam-6355	263	64	polynomial	polynomial	ADJ
ejpam-6355	263	65	hν(t	hν(t	NOUN
ejpam-6355	263	66	)	)	PUNCT
ejpam-6355	263	67	of	of	ADP
ejpam-6355	263	68	degree	degree	NOUN
ejpam-6355	263	69	at	at	ADP
ejpam-6355	263	70	most	most	ADJ
ejpam-6355	263	71	ν	ν	NOUN
ejpam-6355	263	72	−	−	PROPN
ejpam-6355	263	73	1	1	NUM
ejpam-6355	263	74	,	,	PUNCT
ejpam-6355	263	75	the	the	DET
ejpam-6355	263	76	approximation	approximation	NOUN
ejpam-6355	263	77	becomes	become	VERB
ejpam-6355	263	78	exact	exact	ADJ
ejpam-6355	263	79	.	.	PUNCT
ejpam-6355	264	1	ghq	ghq	VERB
ejpam-6355	264	2	quickly	quickly	ADV
ejpam-6355	264	3	converges	converge	VERB
ejpam-6355	264	4	for	for	ADP
ejpam-6355	264	5	smooth	smooth	ADJ
ejpam-6355	264	6	hν(t	hν(t	NOUN
ejpam-6355	264	7	)	)	PUNCT
ejpam-6355	264	8	.	.	PUNCT
ejpam-6355	265	1	the	the	DET
ejpam-6355	265	2	following	follow	VERB
ejpam-6355	265	3	theorem	theorem	VERB
ejpam-6355	265	4	in	in	ADP
ejpam-6355	265	5	[	[	X
ejpam-6355	265	6	24	24	NUM
ejpam-6355	265	7	,	,	PUNCT
ejpam-6355	265	8	25	25	NUM
ejpam-6355	265	9	]	]	PUNCT
ejpam-6355	265	10	clarifies	clarify	VERB
ejpam-6355	265	11	this	this	DET
ejpam-6355	265	12	point	point	NOUN
ejpam-6355	265	13	:	:	PUNCT
ejpam-6355	265	14	theorem	theorem	NOUN
ejpam-6355	265	15	4	4	NUM
ejpam-6355	265	16	.	.	PUNCT
ejpam-6355	266	1	the	the	DET
ejpam-6355	266	2	error	error	NOUN
ejpam-6355	266	3	in	in	ADP
ejpam-6355	266	4	(	(	PUNCT
ejpam-6355	266	5	4	4	NUM
ejpam-6355	266	6	)	)	PUNCT
ejpam-6355	266	7	can	can	AUX
ejpam-6355	266	8	be	be	AUX
ejpam-6355	266	9	written	write	VERB
ejpam-6355	266	10	as	as	SCONJ
ejpam-6355	266	11	follows	follow	VERB
ejpam-6355	266	12	:	:	PUNCT
ejpam-6355	266	13	rν(g	rν(g	X
ejpam-6355	266	14	)	)	PUNCT
ejpam-6355	266	15	=	=	SYM
ejpam-6355	267	1	1	1	NUM
ejpam-6355	267	2	2πi	2πi	ADJ
ejpam-6355	267	3	∫	∫	PROPN
ejpam-6355	267	4	c	c	NOUN
ejpam-6355	267	5	ψν(z)g(z)dz	ψν(z)g(z)dz	PROPN
ejpam-6355	267	6	,	,	PUNCT
ejpam-6355	267	7	(	(	PUNCT
ejpam-6355	267	8	5	5	NUM
ejpam-6355	267	9	)	)	PUNCT
ejpam-6355	267	10	where	where	SCONJ
ejpam-6355	267	11	ψν(z	ψν(z	NOUN
ejpam-6355	267	12	)	)	PUNCT
ejpam-6355	267	13	=	=	SYM
ejpam-6355	267	14	sν(z	sν(z	NOUN
ejpam-6355	267	15	)	)	PUNCT
ejpam-6355	267	16	hν(z	hν(z	NUM
ejpam-6355	267	17	)	)	PUNCT
ejpam-6355	267	18	,	,	PUNCT
ejpam-6355	267	19	sν(z	sν(z	NOUN
ejpam-6355	267	20	)	)	PUNCT
ejpam-6355	267	21	=	=	SYM
ejpam-6355	268	1	∫	∫	PROPN
ejpam-6355	268	2	∞	∞	PROPN
ejpam-6355	269	1	−∞	−∞	ADP
ejpam-6355	269	2	e−t2	e−t2	PROPN
ejpam-6355	269	3	hν(t	hν(t	NOUN
ejpam-6355	269	4	)	)	PUNCT
ejpam-6355	269	5	z	z	NOUN
ejpam-6355	270	1	−	−	PROPN
ejpam-6355	270	2	t	t	PROPN
ejpam-6355	270	3	dt	dt	PROPN
ejpam-6355	270	4	.	.	PUNCT
ejpam-6355	271	1	(	(	PUNCT
ejpam-6355	271	2	6	6	NUM
ejpam-6355	271	3	)	)	PUNCT
ejpam-6355	271	4	the	the	DET
ejpam-6355	271	5	contour	contour	NOUN
ejpam-6355	271	6	c	c	NOUN
ejpam-6355	271	7	in	in	ADP
ejpam-6355	271	8	(	(	PUNCT
ejpam-6355	271	9	5	5	NUM
ejpam-6355	271	10	)	)	PUNCT
ejpam-6355	271	11	starts	start	VERB
ejpam-6355	271	12	at	at	ADP
ejpam-6355	271	13	z	z	PROPN
ejpam-6355	271	14	=	=	SYM
ejpam-6355	271	15	−∞	−∞	NOUN
ejpam-6355	271	16	,	,	PUNCT
ejpam-6355	271	17	and	and	CCONJ
ejpam-6355	271	18	loops	loop	NOUN
ejpam-6355	271	19	around	around	ADP
ejpam-6355	271	20	the	the	DET
ejpam-6355	271	21	zeros	zero	NOUN
ejpam-6355	271	22	of	of	ADP
ejpam-6355	271	23	hν	hν	NOUN
ejpam-6355	271	24	,	,	PUNCT
ejpam-6355	271	25	and	and	CCONJ
ejpam-6355	271	26	terminates	terminate	VERB
ejpam-6355	271	27	at	at	ADP
ejpam-6355	271	28	z	z	NOUN
ejpam-6355	271	29	=	=	SYM
ejpam-6355	271	30	∞	∞	PROPN
ejpam-6355	271	31	,	,	PUNCT
ejpam-6355	271	32	assuming	assume	VERB
ejpam-6355	271	33	f(z	f(z	NOUN
ejpam-6355	271	34	)	)	PUNCT
ejpam-6355	271	35	is	be	AUX
ejpam-6355	271	36	analytic	analytic	ADJ
ejpam-6355	271	37	within	within	ADP
ejpam-6355	271	38	the	the	DET
ejpam-6355	271	39	region	region	NOUN
ejpam-6355	271	40	enclosed	enclose	VERB
ejpam-6355	271	41	by	by	ADP
ejpam-6355	271	42	c.	c.	PROPN
ejpam-6355	271	43	the	the	DET
ejpam-6355	271	44	hermite	hermite	ADJ
ejpam-6355	271	45	function	function	NOUN
ejpam-6355	271	46	of	of	ADP
ejpam-6355	271	47	the	the	DET
ejpam-6355	271	48	second	second	ADJ
ejpam-6355	271	49	kind	kind	NOUN
ejpam-6355	271	50	,	,	PUNCT
ejpam-6355	271	51	sν(z	sν(z	NOUN
ejpam-6355	271	52	)	)	PUNCT
ejpam-6355	271	53	,	,	PUNCT
ejpam-6355	271	54	defined	define	VERB
ejpam-6355	271	55	in	in	ADP
ejpam-6355	271	56	(	(	PUNCT
ejpam-6355	271	57	6	6	NUM
ejpam-6355	271	58	)	)	PUNCT
ejpam-6355	271	59	,	,	PUNCT
ejpam-6355	271	60	exhibits	exhibit	VERB
ejpam-6355	271	61	rapid	rapid	ADJ
ejpam-6355	271	62	decay	decay	NOUN
ejpam-6355	271	63	as	as	ADP
ejpam-6355	271	64	|z|	|z|	NOUN
ejpam-6355	271	65	→	→	SYM
ejpam-6355	271	66	∞	∞	PROPN
ejpam-6355	271	67	,	,	PUNCT
ejpam-6355	271	68	a	a	DET
ejpam-6355	271	69	feature	feature	NOUN
ejpam-6355	271	70	that	that	PRON
ejpam-6355	271	71	facilitates	facilitate	VERB
ejpam-6355	271	72	the	the	DET
ejpam-6355	271	73	convergence	convergence	NOUN
ejpam-6355	271	74	of	of	ADP
ejpam-6355	271	75	integral	integral	ADJ
ejpam-6355	271	76	expressions	expression	NOUN
ejpam-6355	271	77	involving	involve	VERB
ejpam-6355	271	78	it	it	PRON
ejpam-6355	271	79	.	.	PUNCT
ejpam-6355	272	1	conversely	conversely	ADV
ejpam-6355	272	2	,	,	PUNCT
ejpam-6355	272	3	hν(z	hν(z	NUM
ejpam-6355	272	4	)	)	PUNCT
ejpam-6355	272	5	grows	grow	VERB
ejpam-6355	272	6	exponentially	exponentially	ADV
ejpam-6355	272	7	as	as	ADP
ejpam-6355	272	8	|z|	|z|	NOUN
ejpam-6355	272	9	→	→	SYM
ejpam-6355	272	10	∞	∞	PROPN
ejpam-6355	272	11	,	,	PUNCT
ejpam-6355	272	12	which	which	PRON
ejpam-6355	272	13	constraints	constraint	VERB
ejpam-6355	272	14	the	the	DET
ejpam-6355	272	15	function	function	NOUN
ejpam-6355	272	16	ψν(z	ψν(z	NOUN
ejpam-6355	272	17	)	)	PUNCT
ejpam-6355	272	18	in	in	ADP
ejpam-6355	272	19	(	(	PUNCT
ejpam-6355	272	20	5	5	NUM
ejpam-6355	272	21	)	)	PUNCT
ejpam-6355	272	22	to	to	PART
ejpam-6355	272	23	remain	remain	VERB
ejpam-6355	272	24	bounded	bound	VERB
ejpam-6355	272	25	,	,	PUNCT
ejpam-6355	272	26	provided	provide	VERB
ejpam-6355	272	27	the	the	DET
ejpam-6355	272	28	contour	contour	NOUN
ejpam-6355	272	29	c	c	NOUN
ejpam-6355	272	30	is	be	AUX
ejpam-6355	272	31	carefully	carefully	ADV
ejpam-6355	272	32	chosen	choose	VERB
ejpam-6355	272	33	to	to	PART
ejpam-6355	272	34	account	account	VERB
ejpam-6355	272	35	for	for	ADP
ejpam-6355	272	36	the	the	DET
ejpam-6355	272	37	growth	growth	NOUN
ejpam-6355	272	38	and	and	CCONJ
ejpam-6355	272	39	singularities	singularity	NOUN
ejpam-6355	272	40	of	of	ADP
ejpam-6355	272	41	f(z	f(z	PROPN
ejpam-6355	272	42	)	)	PUNCT
ejpam-6355	272	43	.	.	PUNCT
ejpam-6355	273	1	the	the	DET
ejpam-6355	273	2	accuracy	accuracy	NOUN
ejpam-6355	273	3	and	and	CCONJ
ejpam-6355	273	4	stability	stability	NOUN
ejpam-6355	273	5	of	of	ADP
ejpam-6355	273	6	the	the	DET
ejpam-6355	273	7	method	method	NOUN
ejpam-6355	273	8	depend	depend	VERB
ejpam-6355	273	9	on	on	ADP
ejpam-6355	273	10	the	the	DET
ejpam-6355	273	11	growth	growth	NOUN
ejpam-6355	273	12	of	of	ADP
ejpam-6355	273	13	hν(z	hν(z	NOUN
ejpam-6355	273	14	)	)	PUNCT
ejpam-6355	273	15	and	and	CCONJ
ejpam-6355	273	16	decay	decay	NOUN
ejpam-6355	273	17	of	of	ADP
ejpam-6355	273	18	sν(z	sν(z	NOUN
ejpam-6355	273	19	)	)	PUNCT
ejpam-6355	273	20	.	.	PUNCT
ejpam-6355	274	1	furthermore	furthermore	ADV
ejpam-6355	274	2	,	,	PUNCT
ejpam-6355	274	3	related	related	ADJ
ejpam-6355	274	4	studies	study	NOUN
ejpam-6355	274	5	(	(	PUNCT
ejpam-6355	274	6	e.g.	e.g.	ADV
ejpam-6355	274	7	,	,	PUNCT
ejpam-6355	274	8	)	)	PUNCT
ejpam-6355	274	9	highlight	highlight	VERB
ejpam-6355	274	10	the	the	DET
ejpam-6355	274	11	importance	importance	NOUN
ejpam-6355	274	12	of	of	ADP
ejpam-6355	274	13	contour	contour	ADJ
ejpam-6355	274	14	deformation	deformation	NOUN
ejpam-6355	274	15	to	to	PART
ejpam-6355	274	16	minimize	minimize	VERB
ejpam-6355	274	17	numerical	numerical	ADJ
ejpam-6355	274	18	errors	error	NOUN
ejpam-6355	274	19	and	and	CCONJ
ejpam-6355	274	20	indicate	indicate	VERB
ejpam-6355	274	21	that	that	DET
ejpam-6355	274	22	high	high	ADJ
ejpam-6355	274	23	accuracy	accuracy	NOUN
ejpam-6355	274	24	is	be	AUX
ejpam-6355	274	25	achieved	achieve	VERB
ejpam-6355	274	26	when	when	SCONJ
ejpam-6355	274	27	singularities	singularity	NOUN
ejpam-6355	274	28	of	of	ADP
ejpam-6355	274	29	f(z	f(z	PROPN
ejpam-6355	274	30	)	)	PUNCT
ejpam-6355	274	31	are	be	AUX
ejpam-6355	274	32	sufficiently	sufficiently	ADV
ejpam-6355	274	33	distant	distant	ADJ
ejpam-6355	274	34	from	from	ADP
ejpam-6355	274	35	the	the	DET
ejpam-6355	274	36	real	real	ADJ
ejpam-6355	274	37	axis	axis	NOUN
ejpam-6355	274	38	.	.	PUNCT
ejpam-6355	275	1	this	this	DET
ejpam-6355	275	2	characteristic	characteristic	NOUN
ejpam-6355	275	3	is	be	AUX
ejpam-6355	275	4	especially	especially	ADV
ejpam-6355	275	5	advantageous	advantageous	ADJ
ejpam-6355	275	6	for	for	ADP
ejpam-6355	275	7	guaranteeing	guarantee	VERB
ejpam-6355	275	8	accuracy	accuracy	NOUN
ejpam-6355	275	9	in	in	ADP
ejpam-6355	275	10	situations	situation	NOUN
ejpam-6355	275	11	where	where	SCONJ
ejpam-6355	275	12	singularities	singularity	NOUN
ejpam-6355	275	13	might	might	AUX
ejpam-6355	275	14	affect	affect	VERB
ejpam-6355	275	15	the	the	DET
ejpam-6355	275	16	contour	contour	NOUN
ejpam-6355	275	17	’s	’s	PART
ejpam-6355	275	18	path	path	NOUN
ejpam-6355	275	19	.	.	PUNCT
ejpam-6355	276	1	kamran	kamran	PROPN
ejpam-6355	276	2	et	et	PROPN
ejpam-6355	276	3	al	al	PROPN
ejpam-6355	276	4	.	.	PUNCT
ejpam-6355	276	5	/	/	SYM
ejpam-6355	276	6	eur	eur	PROPN
ejpam-6355	276	7	.	.	PUNCT
ejpam-6355	277	1	j.	j.	PROPN
ejpam-6355	277	2	pure	pure	PROPN
ejpam-6355	277	3	appl	appl	PROPN
ejpam-6355	277	4	.	.	PROPN
ejpam-6355	277	5	math	math	PROPN
ejpam-6355	277	6	,	,	PUNCT
ejpam-6355	277	7	18	18	NUM
ejpam-6355	277	8	(	(	PUNCT
ejpam-6355	277	9	3	3	NUM
ejpam-6355	277	10	)	)	PUNCT
ejpam-6355	277	11	(	(	PUNCT
ejpam-6355	277	12	2025	2025	NUM
ejpam-6355	277	13	)	)	PUNCT
ejpam-6355	277	14	,	,	PUNCT
ejpam-6355	277	15	6355	6355	NUM
ejpam-6355	277	16	10	10	NUM
ejpam-6355	277	17	of	of	ADP
ejpam-6355	277	18	22	22	NUM
ejpam-6355	277	19	by	by	ADP
ejpam-6355	277	20	selecting	select	VERB
ejpam-6355	277	21	t	t	PROPN
ejpam-6355	277	22	=	=	SYM
ejpam-6355	277	23	ςκ	ςκ	PROPN
ejpam-6355	277	24	,	,	PUNCT
ejpam-6355	277	25	with	with	ADP
ejpam-6355	277	26	ς	ς	PROPN
ejpam-6355	277	27	∈	∈	PROPN
ejpam-6355	277	28	r	r	NOUN
ejpam-6355	277	29	,	,	PUNCT
ejpam-6355	277	30	allows	allow	VERB
ejpam-6355	277	31	for	for	ADP
ejpam-6355	277	32	a	a	DET
ejpam-6355	277	33	simple	simple	ADJ
ejpam-6355	277	34	integration	integration	NOUN
ejpam-6355	277	35	process	process	NOUN
ejpam-6355	277	36	while	while	SCONJ
ejpam-6355	277	37	maintaining	maintain	VERB
ejpam-6355	277	38	high	high	ADJ
ejpam-6355	277	39	accuracy	accuracy	NOUN
ejpam-6355	277	40	,	,	PUNCT
ejpam-6355	277	41	as	as	SCONJ
ejpam-6355	277	42	suggested	suggest	VERB
ejpam-6355	277	43	in	in	ADP
ejpam-6355	277	44	past	past	ADJ
ejpam-6355	277	45	analysis	analysis	NOUN
ejpam-6355	277	46	of	of	ADP
ejpam-6355	277	47	similar	similar	ADJ
ejpam-6355	277	48	integral	integral	ADJ
ejpam-6355	277	49	representations	representation	NOUN
ejpam-6355	277	50	in	in	ADP
ejpam-6355	277	51	orthogonal	orthogonal	ADJ
ejpam-6355	277	52	polynomial	polynomial	ADJ
ejpam-6355	277	53	theory:∫	theory:∫	NOUN
ejpam-6355	277	54	∞	∞	PROPN
ejpam-6355	277	55	−∞	−∞	ADP
ejpam-6355	277	56	e−t2g(t)dt	e−t2g(t)dt	PROPN
ejpam-6355	277	57	=	=	SYM
ejpam-6355	278	1	ς	ς	PROPN
ejpam-6355	278	2	∫	∫	PROPN
ejpam-6355	278	3	∞	∞	PROPN
ejpam-6355	278	4	−∞	−∞	ADP
ejpam-6355	278	5	e−ς2κ2	e−ς2κ2	NOUN
ejpam-6355	278	6	g(ςκ)dκ	g(ςκ)dκ	NOUN
ejpam-6355	278	7	=	=	SYM
ejpam-6355	278	8	ς	ς	PROPN
ejpam-6355	278	9	∫	∫	PROPN
ejpam-6355	278	10	∞	∞	PROPN
ejpam-6355	278	11	−∞	−∞	ADP
ejpam-6355	278	12	e−κ2	e−κ2	ADV
ejpam-6355	278	13	eκ	eκ	PROPN
ejpam-6355	278	14	2	2	NUM
ejpam-6355	278	15	e−ς2κ2	e−ς2κ2	NOUN
ejpam-6355	278	16	g(ςκ)dκ	g(ςκ)dκ	NOUN
ejpam-6355	278	17	.	.	PUNCT
ejpam-6355	279	1	(	(	PUNCT
ejpam-6355	279	2	7	7	X
ejpam-6355	279	3	)	)	PUNCT
ejpam-6355	279	4	now	now	ADV
ejpam-6355	279	5	,	,	PUNCT
ejpam-6355	279	6	we	we	PRON
ejpam-6355	279	7	can	can	AUX
ejpam-6355	279	8	utilize	utilize	VERB
ejpam-6355	279	9	the	the	DET
ejpam-6355	279	10	rule	rule	NOUN
ejpam-6355	279	11	(	(	PUNCT
ejpam-6355	279	12	4	4	NUM
ejpam-6355	279	13	)	)	PUNCT
ejpam-6355	279	14	to	to	ADP
ejpam-6355	279	15	the	the	DET
ejpam-6355	279	16	function	function	NOUN
ejpam-6355	279	17	f(κ	f(κ	PROPN
ejpam-6355	279	18	)	)	PUNCT
ejpam-6355	280	1	=	=	PUNCT
ejpam-6355	280	2	eκ	eκ	PUNCT
ejpam-6355	280	3	2(1−ς2)f(ςκ	2(1−ς2)f(ςκ	NUM
ejpam-6355	280	4	)	)	PUNCT
ejpam-6355	280	5	.	.	PUNCT
ejpam-6355	281	1	as	as	ADP
ejpam-6355	281	2	a	a	DET
ejpam-6355	281	3	result	result	NOUN
ejpam-6355	281	4	the	the	DET
ejpam-6355	281	5	function	function	NOUN
ejpam-6355	281	6	f̂(κ	f̂(κ	NOUN
ejpam-6355	281	7	)	)	PUNCT
ejpam-6355	281	8	,	,	PUNCT
ejpam-6355	281	9	will	will	AUX
ejpam-6355	281	10	exhibit	exhibit	VERB
ejpam-6355	281	11	singularities	singularity	NOUN
ejpam-6355	281	12	that	that	PRON
ejpam-6355	281	13	are	be	AUX
ejpam-6355	281	14	fartherfrom	fartherfrom	ADP
ejpam-6355	281	15	the	the	DET
ejpam-6355	281	16	x	x	NOUN
ejpam-6355	281	17	-	-	VERB
ejpam-6355	281	18	axiscompared	axiscompared	ADJ
ejpam-6355	281	19	to	to	ADP
ejpam-6355	281	20	those	those	PRON
ejpam-6355	281	21	of	of	ADP
ejpam-6355	281	22	f(z	f(z	PROPN
ejpam-6355	281	23	)	)	PUNCT
ejpam-6355	281	24	.	.	PUNCT
ejpam-6355	282	1	this	this	DET
ejpam-6355	282	2	increased	increase	VERB
ejpam-6355	282	3	separation	separation	NOUN
ejpam-6355	282	4	of	of	ADP
ejpam-6355	282	5	singularities	singularity	NOUN
ejpam-6355	282	6	has	have	VERB
ejpam-6355	282	7	the	the	DET
ejpam-6355	282	8	capability	capability	NOUN
ejpam-6355	282	9	to	to	PART
ejpam-6355	282	10	improve	improve	VERB
ejpam-6355	282	11	the	the	DET
ejpam-6355	282	12	numerical	numerical	ADJ
ejpam-6355	282	13	accuracy	accuracy	NOUN
ejpam-6355	282	14	.	.	PUNCT
ejpam-6355	283	1	to	to	PART
ejpam-6355	283	2	evaluate	evaluate	VERB
ejpam-6355	283	3	(	(	PUNCT
ejpam-6355	283	4	2	2	NUM
ejpam-6355	283	5	)	)	PUNCT
ejpam-6355	283	6	,	,	PUNCT
ejpam-6355	283	7	we	we	PRON
ejpam-6355	283	8	consider	consider	VERB
ejpam-6355	283	9	the	the	DET
ejpam-6355	283	10	following	follow	VERB
ejpam-6355	283	11	contour	contour	NOUN
ejpam-6355	283	12	:	:	PUNCT
ejpam-6355	283	13	c	c	NOUN
ejpam-6355	283	14	:	:	PUNCT
ejpam-6355	283	15	z	z	NOUN
ejpam-6355	283	16	=	=	SYM
ejpam-6355	283	17	ϑ(1	ϑ(1	PROPN
ejpam-6355	283	18	+	+	NUM
ejpam-6355	283	19	iγ)2	iγ)2	PROPN
ejpam-6355	283	20	,	,	PUNCT
ejpam-6355	283	21	where	where	SCONJ
ejpam-6355	283	22	γ	γ	X
ejpam-6355	283	23	∈	∈	PROPN
ejpam-6355	283	24	(	(	PUNCT
ejpam-6355	283	25	−∞,∞	−∞,∞	NOUN
ejpam-6355	283	26	)	)	PUNCT
ejpam-6355	283	27	,	,	PUNCT
ejpam-6355	283	28	and	and	CCONJ
ejpam-6355	283	29	ϑ	ϑ	X
ejpam-6355	283	30	>	>	X
ejpam-6355	283	31	0	0	NUM
ejpam-6355	283	32	.	.	PUNCT
ejpam-6355	284	1	(	(	PUNCT
ejpam-6355	284	2	8)	8)	X
ejpam-6355	284	3	the	the	DET
ejpam-6355	284	4	contour	contour	NOUN
ejpam-6355	284	5	described	describe	VERB
ejpam-6355	284	6	in	in	ADP
ejpam-6355	284	7	(	(	PUNCT
ejpam-6355	284	8	8)	8)	NUM
ejpam-6355	284	9	intersects	intersect	NOUN
ejpam-6355	284	10	the	the	DET
ejpam-6355	284	11	x	x	SYM
ejpam-6355	284	12	−	−	PROPN
ejpam-6355	284	13	axis	axis	NOUN
ejpam-6355	284	14	at	at	ADP
ejpam-6355	284	15	z	z	PROPN
ejpam-6355	284	16	=	=	SYM
ejpam-6355	284	17	ϑ	ϑ	PROPN
ejpam-6355	284	18	and	and	CCONJ
ejpam-6355	284	19	the	the	DET
ejpam-6355	284	20	y	y	PROPN
ejpam-6355	284	21	−	−	PROPN
ejpam-6355	284	22	axis	axis	NOUN
ejpam-6355	284	23	at	at	ADP
ejpam-6355	284	24	z	z	PROPN
ejpam-6355	284	25	=	=	PUNCT
ejpam-6355	284	26	±2ϑi	±2ϑi	NOUN
ejpam-6355	284	27	.	.	PUNCT
ejpam-6355	285	1	utilizing	utilize	VERB
ejpam-6355	285	2	(	(	PUNCT
ejpam-6355	285	3	8)	8)	NUM
ejpam-6355	285	4	in	in	ADP
ejpam-6355	285	5	(	(	PUNCT
ejpam-6355	285	6	2	2	NUM
ejpam-6355	285	7	)	)	PUNCT
ejpam-6355	285	8	,	,	PUNCT
ejpam-6355	285	9	we	we	PRON
ejpam-6355	285	10	obtain∫	obtain∫	VERB
ejpam-6355	285	11	c	c	NOUN
ejpam-6355	285	12	û(z)ezκdz	û(z)ezκdz	PROPN
ejpam-6355	285	13	=	=	SYM
ejpam-6355	285	14	∫	∫	PROPN
ejpam-6355	285	15	∞	∞	PROPN
ejpam-6355	285	16	−∞	−∞	ADP
ejpam-6355	285	17	ez(γ)κû(z(γ))z′(γ)dγ	ez(γ)κû(z(γ))z′(γ)dγ	NOUN
ejpam-6355	285	18	,	,	PUNCT
ejpam-6355	285	19	the	the	DET
ejpam-6355	285	20	technique	technique	NOUN
ejpam-6355	285	21	in	in	ADP
ejpam-6355	285	22	(	(	PUNCT
ejpam-6355	285	23	7	7	NUM
ejpam-6355	285	24	)	)	PUNCT
ejpam-6355	285	25	,	,	PUNCT
ejpam-6355	285	26	can	can	AUX
ejpam-6355	285	27	be	be	AUX
ejpam-6355	285	28	applied	apply	VERB
ejpam-6355	285	29	using	use	VERB
ejpam-6355	285	30	γ	γ	NOUN
ejpam-6355	285	31	=	=	SYM
ejpam-6355	285	32	ςσ	ςσ	PROPN
ejpam-6355	285	33	as	as	ADP
ejpam-6355	285	34	:	:	PUNCT
ejpam-6355	285	35	u(κ	u(κ	NOUN
ejpam-6355	285	36	)	)	PUNCT
ejpam-6355	285	37	=	=	SYM
ejpam-6355	286	1	ς	ς	PROPN
ejpam-6355	286	2	2πi	2πi	NOUN
ejpam-6355	286	3	∫	∫	PROPN
ejpam-6355	287	1	∞	∞	PROPN
ejpam-6355	288	1	−∞	−∞	ADP
ejpam-6355	288	2	e−σ2	e−σ2	ADJ
ejpam-6355	288	3	eσ	eσ	PROPN
ejpam-6355	288	4	2+z(ςσ)κû(z(ςσ))z′(ςσ)dσ	2+z(ςσ)κû(z(ςσ))z′(ςσ)dσ	NUM
ejpam-6355	288	5	=	=	SYM
ejpam-6355	288	6	∫	∫	PROPN
ejpam-6355	288	7	∞	∞	PROPN
ejpam-6355	288	8	−∞	−∞	ADP
ejpam-6355	288	9	e−σ2	e−σ2	ADJ
ejpam-6355	288	10	g(σ)dσ	g(σ)dσ	NOUN
ejpam-6355	288	11	,	,	PUNCT
ejpam-6355	288	12	leads	lead	VERB
ejpam-6355	288	13	to	to	ADP
ejpam-6355	288	14	u(κ	u(κ	NOUN
ejpam-6355	288	15	)	)	PUNCT
ejpam-6355	288	16	=	=	SYM
ejpam-6355	289	1	∫	∫	PROPN
ejpam-6355	289	2	∞	∞	PROPN
ejpam-6355	289	3	−∞	−∞	ADP
ejpam-6355	289	4	e−σ2	e−σ2	ADJ
ejpam-6355	289	5	g(σ)dσ	g(σ)dσ	NOUN
ejpam-6355	289	6	,	,	PUNCT
ejpam-6355	289	7	(	(	PUNCT
ejpam-6355	289	8	9	9	X
ejpam-6355	289	9	)	)	PUNCT
ejpam-6355	289	10	where	where	SCONJ
ejpam-6355	289	11	g(σ	g(σ	NOUN
ejpam-6355	289	12	)	)	PUNCT
ejpam-6355	289	13	=	=	PUNCT
ejpam-6355	289	14	ς	ς	PROPN
ejpam-6355	289	15	2πi	2πi	NOUN
ejpam-6355	289	16	eσ	eσ	ADP
ejpam-6355	289	17	2+z(ςσ)κû(z(ςσ))z′(ςσ	2+z(ςσ)κû(z(ςσ))z′(ςσ	NUM
ejpam-6355	289	18	)	)	PUNCT
ejpam-6355	289	19	.	.	PUNCT
ejpam-6355	290	1	applying	apply	VERB
ejpam-6355	290	2	the	the	DET
ejpam-6355	290	3	ghq	ghq	NOUN
ejpam-6355	290	4	to	to	ADP
ejpam-6355	290	5	(	(	PUNCT
ejpam-6355	290	6	9	9	X
ejpam-6355	290	7	)	)	PUNCT
ejpam-6355	290	8	yields	yield	NOUN
ejpam-6355	290	9	uapp(κ	uapp(κ	PROPN
ejpam-6355	290	10	)	)	PUNCT
ejpam-6355	291	1	≈	≈	PROPN
ejpam-6355	291	2	2re	2re	ADJ
ejpam-6355	291	3			PUNCT
ejpam-6355	291	4	p∑	p∑	NOUN
ejpam-6355	291	5	ϱ=1	ϱ=1	NOUN
ejpam-6355	291	6	ηϱg(σϱ	ηϱg(σϱ	NOUN
ejpam-6355	291	7	)	)	PUNCT
ejpam-6355	291	8			NOUN
ejpam-6355	291	9	.	.	PUNCT
ejpam-6355	292	1	here	here	ADV
ejpam-6355	292	2	,	,	PUNCT
ejpam-6355	292	3	σϱ	σϱ	CCONJ
ejpam-6355	292	4	represents	represent	VERB
ejpam-6355	292	5	the	the	DET
ejpam-6355	292	6	positive	positive	ADJ
ejpam-6355	292	7	roots	root	NOUN
ejpam-6355	292	8	of	of	ADP
ejpam-6355	292	9	hν	hν	NOUN
ejpam-6355	292	10	,	,	PUNCT
ejpam-6355	292	11	and	and	CCONJ
ejpam-6355	292	12	for	for	ADP
ejpam-6355	292	13	even	even	ADV
ejpam-6355	292	14	ν	ν	NOUN
ejpam-6355	292	15	,	,	PUNCT
ejpam-6355	292	16	p	p	NOUN
ejpam-6355	292	17	=	=	X
ejpam-6355	292	18	ν/2	ν/2	NUM
ejpam-6355	292	19	,	,	PUNCT
ejpam-6355	292	20	while	while	SCONJ
ejpam-6355	292	21	for	for	ADP
ejpam-6355	292	22	odd	odd	ADJ
ejpam-6355	292	23	ν	ν	NOUN
ejpam-6355	292	24	,	,	PUNCT
ejpam-6355	292	25	p	p	NOUN
ejpam-6355	292	26	=	=	X
ejpam-6355	292	27	(	(	PUNCT
ejpam-6355	292	28	ν	ν	X
ejpam-6355	292	29	+	+	X
ejpam-6355	292	30	1)/2	1)/2	NUM
ejpam-6355	292	31	.	.	PUNCT
ejpam-6355	293	1	4.2.1	4.2.1	NUM
ejpam-6355	293	2	.	.	PUNCT
ejpam-6355	294	1	error	error	NOUN
ejpam-6355	294	2	analysis	analysis	NOUN
ejpam-6355	294	3	the	the	DET
ejpam-6355	294	4	error	error	NOUN
ejpam-6355	294	5	analysis	analysis	NOUN
ejpam-6355	294	6	in	in	ADP
ejpam-6355	294	7	the	the	DET
ejpam-6355	294	8	ghq	ghq	NOUN
ejpam-6355	294	9	rule	rule	NOUN
ejpam-6355	294	10	can	can	AUX
ejpam-6355	294	11	be	be	AUX
ejpam-6355	294	12	analyzed	analyze	VERB
ejpam-6355	294	13	using	use	VERB
ejpam-6355	294	14	the	the	DET
ejpam-6355	294	15	following	follow	VERB
ejpam-6355	294	16	theorem	theorem	NOUN
ejpam-6355	294	17	:	:	PUNCT
ejpam-6355	294	18	theorem	theorem	NOUN
ejpam-6355	294	19	5	5	NUM
ejpam-6355	294	20	.	.	PUNCT
ejpam-6355	295	1	[	[	X
ejpam-6355	295	2	26	26	NUM
ejpam-6355	295	3	]	]	PUNCT
ejpam-6355	295	4	let	let	VERB
ejpam-6355	295	5	g(σϱ	g(σϱ	NOUN
ejpam-6355	295	6	)	)	PUNCT
ejpam-6355	295	7	be	be	VERB
ejpam-6355	295	8	the	the	DET
ejpam-6355	295	9	transformed	transform	VERB
ejpam-6355	295	10	integrand	integrand	NOUN
ejpam-6355	295	11	in	in	ADP
ejpam-6355	295	12	the	the	DET
ejpam-6355	295	13	ghq	ghq	NOUN
ejpam-6355	295	14	rule	rule	NOUN
ejpam-6355	295	15	.	.	PUNCT
ejpam-6355	296	1	if	if	SCONJ
ejpam-6355	296	2	g(σϱ	g(σϱ	NOUN
ejpam-6355	296	3	)	)	PUNCT
ejpam-6355	296	4	is	be	AUX
ejpam-6355	296	5	2ν	2ν	NUM
ejpam-6355	296	6	-	-	PUNCT
ejpam-6355	296	7	times	time	NOUN
ejpam-6355	296	8	continuously	continuously	ADV
ejpam-6355	296	9	differentiable	differentiable	VERB
ejpam-6355	296	10	on	on	ADP
ejpam-6355	296	11	(	(	PUNCT
ejpam-6355	296	12	−∞,∞	−∞,∞	NOUN
ejpam-6355	296	13	)	)	PUNCT
ejpam-6355	296	14	,	,	PUNCT
ejpam-6355	296	15	then	then	ADV
ejpam-6355	296	16	the	the	DET
ejpam-6355	296	17	error	error	NOUN
ejpam-6355	296	18	in	in	ADP
ejpam-6355	296	19	eν	eν	NOUN
ejpam-6355	296	20	in	in	ADP
ejpam-6355	296	21	the	the	DET
ejpam-6355	296	22	quadrature	quadrature	NOUN
ejpam-6355	296	23	approximation	approximation	NOUN
ejpam-6355	296	24	satisfies	satisfie	NOUN
ejpam-6355	296	25	:	:	PUNCT
ejpam-6355	296	26	|eν	|eν	NUM
ejpam-6355	296	27	|	|	ADV
ejpam-6355	296	28	≤	≤	NUM
ejpam-6355	296	29	c	c	NOUN
ejpam-6355	296	30	2ν	2ν	NUM
ejpam-6355	296	31	!	!	PUNCT
ejpam-6355	297	1	∥g(2ν)∥∞	∥g(2ν)∥∞	NOUN
ejpam-6355	297	2	,	,	PUNCT
ejpam-6355	297	3	where	where	SCONJ
ejpam-6355	297	4	c	c	PROPN
ejpam-6355	297	5	is	be	AUX
ejpam-6355	297	6	a	a	DET
ejpam-6355	297	7	constant	constant	ADJ
ejpam-6355	297	8	depending	depend	VERB
ejpam-6355	297	9	on	on	ADP
ejpam-6355	297	10	ν	ν	PROPN
ejpam-6355	297	11	.	.	PUNCT
ejpam-6355	297	12	kamran	kamran	PROPN
ejpam-6355	297	13	et	et	PROPN
ejpam-6355	297	14	al	al	PROPN
ejpam-6355	297	15	.	.	PUNCT
ejpam-6355	297	16	/	/	SYM
ejpam-6355	297	17	eur	eur	PROPN
ejpam-6355	297	18	.	.	PUNCT
ejpam-6355	298	1	j.	j.	PROPN
ejpam-6355	298	2	pure	pure	PROPN
ejpam-6355	298	3	appl	appl	PROPN
ejpam-6355	298	4	.	.	PROPN
ejpam-6355	298	5	math	math	PROPN
ejpam-6355	298	6	,	,	PUNCT
ejpam-6355	298	7	18	18	NUM
ejpam-6355	298	8	(	(	PUNCT
ejpam-6355	298	9	3	3	NUM
ejpam-6355	298	10	)	)	PUNCT
ejpam-6355	298	11	(	(	PUNCT
ejpam-6355	298	12	2025	2025	NUM
ejpam-6355	298	13	)	)	PUNCT
ejpam-6355	298	14	,	,	PUNCT
ejpam-6355	298	15	6355	6355	NUM
ejpam-6355	298	16	11	11	NUM
ejpam-6355	298	17	of	of	ADP
ejpam-6355	298	18	22	22	NUM
ejpam-6355	298	19	proof	proof	NOUN
ejpam-6355	298	20	.	.	PUNCT
ejpam-6355	299	1	the	the	DET
ejpam-6355	299	2	ghq	ghq	NOUN
ejpam-6355	299	3	rule	rule	NOUN
ejpam-6355	299	4	is	be	AUX
ejpam-6355	299	5	exact	exact	ADJ
ejpam-6355	299	6	for	for	ADP
ejpam-6355	299	7	polynomials	polynomial	NOUN
ejpam-6355	299	8	of	of	ADP
ejpam-6355	299	9	degree	degree	NOUN
ejpam-6355	299	10	up	up	ADP
ejpam-6355	299	11	to	to	ADP
ejpam-6355	299	12	2ν	2ν	NOUN
ejpam-6355	299	13	−	−	NOUN
ejpam-6355	299	14	1	1	X
ejpam-6355	299	15	.	.	PUNCT
ejpam-6355	300	1	we	we	PRON
ejpam-6355	300	2	begin	begin	VERB
ejpam-6355	300	3	by	by	ADP
ejpam-6355	300	4	expanding	expand	VERB
ejpam-6355	300	5	g(σϱ	g(σϱ	NOUN
ejpam-6355	300	6	)	)	PUNCT
ejpam-6355	300	7	using	use	VERB
ejpam-6355	300	8	a	a	DET
ejpam-6355	300	9	taylor	taylor	PROPN
ejpam-6355	300	10	series	series	NOUN
ejpam-6355	300	11	as	as	ADP
ejpam-6355	300	12	:	:	PUNCT
ejpam-6355	300	13	g(σϱ	g(σϱ	NOUN
ejpam-6355	300	14	)	)	PUNCT
ejpam-6355	300	15	=	=	SYM
ejpam-6355	300	16	p2ν−1(σϱ	p2ν−1(σϱ	X
ejpam-6355	300	17	)	)	PUNCT
ejpam-6355	301	1	+	+	NOUN
ejpam-6355	302	1	r2ν(σϱ	r2ν(σϱ	NOUN
ejpam-6355	302	2	)	)	PUNCT
ejpam-6355	302	3	,	,	PUNCT
ejpam-6355	302	4	where	where	SCONJ
ejpam-6355	302	5	r2ν(σϱ	r2ν(σϱ	NOUN
ejpam-6355	302	6	)	)	PUNCT
ejpam-6355	302	7	=	=	SYM
ejpam-6355	302	8	g(2ν)(ξ	g(2ν)(ξ	NOUN
ejpam-6355	302	9	)	)	PUNCT
ejpam-6355	302	10	(	(	PUNCT
ejpam-6355	302	11	2ν	2ν	NOUN
ejpam-6355	302	12	)	)	PUNCT
ejpam-6355	302	13	!	!	PUNCT
ejpam-6355	303	1	(	(	PUNCT
ejpam-6355	303	2	σϱ	σϱ	ADP
ejpam-6355	303	3	−	−	PROPN
ejpam-6355	303	4	σϱ0)2ν	σϱ0)2ν	NOUN
ejpam-6355	303	5	.	.	PUNCT
ejpam-6355	304	1	the	the	DET
ejpam-6355	304	2	error	error	NOUN
ejpam-6355	304	3	eν	eν	NOUN
ejpam-6355	304	4	arises	arise	VERB
ejpam-6355	304	5	from	from	ADP
ejpam-6355	304	6	the	the	DET
ejpam-6355	304	7	remainder	remainder	NOUN
ejpam-6355	304	8	term	term	NOUN
ejpam-6355	304	9	:	:	PUNCT
ejpam-6355	304	10	eν	eν	NOUN
ejpam-6355	304	11	=	=	SYM
ejpam-6355	304	12	i(r2ν	i(r2ν	NOUN
ejpam-6355	304	13	)	)	PUNCT
ejpam-6355	304	14	−qν(r2ν	−qν(r2ν	PROPN
ejpam-6355	304	15	)	)	PUNCT
ejpam-6355	304	16	.	.	PUNCT
ejpam-6355	305	1	further	far	ADV
ejpam-6355	305	2	,	,	PUNCT
ejpam-6355	305	3	we	we	PRON
ejpam-6355	305	4	have	have	VERB
ejpam-6355	305	5	|r2ν(σϱ)|	|r2ν(σϱ)|	ADJ
ejpam-6355	305	6	≤	≤	NUM
ejpam-6355	305	7	∥g(2ν)∥∞	∥g(2ν)∥∞	X
ejpam-6355	305	8	(	(	PUNCT
ejpam-6355	305	9	2ν	2ν	NOUN
ejpam-6355	305	10	)	)	PUNCT
ejpam-6355	305	11	!	!	PUNCT
ejpam-6355	306	1	|σϱ	|σϱ	X
ejpam-6355	307	1	−	−	NOUN
ejpam-6355	307	2	σϱ0	σϱ0	NOUN
ejpam-6355	307	3	|2ν	|2ν	NOUN
ejpam-6355	307	4	.	.	PUNCT
ejpam-6355	308	1	now	now	ADV
ejpam-6355	308	2	,	,	PUNCT
ejpam-6355	308	3	integrating	integrate	VERB
ejpam-6355	308	4	the	the	DET
ejpam-6355	308	5	remainder	remainder	ADJ
ejpam-6355	308	6	term	term	NOUN
ejpam-6355	308	7	we	we	PRON
ejpam-6355	308	8	have	have	VERB
ejpam-6355	308	9	|eν	|eν	PUNCT
ejpam-6355	308	10	|	|	ADV
ejpam-6355	308	11	≤	≤	X
ejpam-6355	308	12	∥g(2ν)∥∞	∥g(2ν)∥∞	X
ejpam-6355	308	13	(	(	PUNCT
ejpam-6355	308	14	2ν	2ν	NOUN
ejpam-6355	308	15	)	)	PUNCT
ejpam-6355	308	16	!	!	PUNCT
ejpam-6355	309	1	∫	∫	PROPN
ejpam-6355	310	1	∞	∞	PROPN
ejpam-6355	310	2	−∞	−∞	ADP
ejpam-6355	310	3	e−σ2	e−σ2	PUNCT
ejpam-6355	310	4	ϱ	ϱ	PROPN
ejpam-6355	310	5	|σϱ	|σϱ	CCONJ
ejpam-6355	310	6	−	−	PUNCT
ejpam-6355	310	7	σϱ0	σϱ0	NOUN
ejpam-6355	310	8	|2νdσϱ.	|2νdσϱ.	NOUN
ejpam-6355	310	9	let	let	VERB
ejpam-6355	310	10	c	c	NOUN
ejpam-6355	310	11	=	=	PUNCT
ejpam-6355	310	12	∫∞	∫∞	NOUN
ejpam-6355	310	13	−∞	−∞	X
ejpam-6355	310	14	e−σ2	e−σ2	PUNCT
ejpam-6355	310	15	ϱ	ϱ	PROPN
ejpam-6355	310	16	|σϱ	|σϱ	CCONJ
ejpam-6355	310	17	−	−	PUNCT
ejpam-6355	310	18	σϱ0	σϱ0	NOUN
ejpam-6355	310	19	|2νdσϱ.	|2νdσϱ.	NOUN
ejpam-6355	310	20	then	then	ADV
ejpam-6355	310	21	,	,	PUNCT
ejpam-6355	310	22	we	we	PRON
ejpam-6355	310	23	obtain	obtain	VERB
ejpam-6355	310	24	|eν	|eν	PUNCT
ejpam-6355	310	25	|	|	ADV
ejpam-6355	310	26	≤	≤	NUM
ejpam-6355	310	27	c	c	NOUN
ejpam-6355	310	28	(	(	PUNCT
ejpam-6355	310	29	2ν	2ν	NUM
ejpam-6355	310	30	)	)	PUNCT
ejpam-6355	310	31	!	!	PUNCT
ejpam-6355	311	1	∥g(2ν)∥∞.	∥g(2ν)∥∞.	NOUN
ejpam-6355	311	2	4.3	4.3	NUM
ejpam-6355	311	3	.	.	PUNCT
ejpam-6355	311	4	weeks	week	NOUN
ejpam-6355	311	5	method	method	VERB
ejpam-6355	311	6	the	the	DET
ejpam-6355	311	7	weeks	week	NOUN
ejpam-6355	311	8	method	method	NOUN
ejpam-6355	311	9	is	be	AUX
ejpam-6355	311	10	acknowledged	acknowledge	VERB
ejpam-6355	311	11	as	as	ADP
ejpam-6355	311	12	one	one	NUM
ejpam-6355	311	13	of	of	ADP
ejpam-6355	311	14	the	the	DET
ejpam-6355	311	15	most	most	ADV
ejpam-6355	311	16	straightforward	straightforward	ADJ
ejpam-6355	311	17	,	,	PUNCT
ejpam-6355	311	18	accurate	accurate	ADJ
ejpam-6355	311	19	,	,	PUNCT
ejpam-6355	311	20	and	and	CCONJ
ejpam-6355	311	21	reliable	reliable	ADJ
ejpam-6355	311	22	methods	method	NOUN
ejpam-6355	311	23	for	for	ADP
ejpam-6355	311	24	the	the	DET
ejpam-6355	311	25	numerical	numerical	ADJ
ejpam-6355	311	26	inversion	inversion	NOUN
ejpam-6355	311	27	of	of	ADP
ejpam-6355	311	28	the	the	DET
ejpam-6355	311	29	lt	lt	NOUN
ejpam-6355	311	30	,	,	PUNCT
ejpam-6355	311	31	as	as	ADV
ejpam-6355	311	32	long	long	ADV
ejpam-6355	311	33	as	as	SCONJ
ejpam-6355	311	34	the	the	DET
ejpam-6355	311	35	parameters	parameter	NOUN
ejpam-6355	311	36	involved	involve	VERB
ejpam-6355	311	37	in	in	ADP
ejpam-6355	311	38	the	the	DET
ejpam-6355	311	39	laguerre	laguerre	NOUN
ejpam-6355	311	40	series	series	NOUN
ejpam-6355	311	41	expansion	expansion	NOUN
ejpam-6355	311	42	are	be	AUX
ejpam-6355	311	43	properly	properly	ADV
ejpam-6355	311	44	chosen	choose	VERB
ejpam-6355	311	45	.	.	PUNCT
ejpam-6355	312	1	unlike	unlike	ADP
ejpam-6355	312	2	the	the	DET
ejpam-6355	312	3	trapezoidal	trapezoidal	ADJ
ejpam-6355	312	4	rule	rule	NOUN
ejpam-6355	312	5	and	and	CCONJ
ejpam-6355	312	6	talbot	talbot	PROPN
ejpam-6355	312	7	’s	’s	PART
ejpam-6355	312	8	technique	technique	NOUN
ejpam-6355	312	9	,	,	PUNCT
ejpam-6355	312	10	the	the	DET
ejpam-6355	312	11	weeks	week	NOUN
ejpam-6355	312	12	method	method	NOUN
ejpam-6355	312	13	offers	offer	VERB
ejpam-6355	312	14	a	a	DET
ejpam-6355	312	15	significant	significant	ADJ
ejpam-6355	312	16	advantage	advantage	NOUN
ejpam-6355	312	17	through	through	ADP
ejpam-6355	312	18	its	its	PRON
ejpam-6355	312	19	function	function	NOUN
ejpam-6355	312	20	expansion	expansion	NOUN
ejpam-6355	312	21	,	,	PUNCT
ejpam-6355	312	22	specifically	specifically	ADV
ejpam-6355	312	23	using	use	VERB
ejpam-6355	312	24	the	the	DET
ejpam-6355	312	25	laguerre	laguerre	NOUN
ejpam-6355	312	26	series	series	NOUN
ejpam-6355	312	27	.	.	PUNCT
ejpam-6355	313	1	this	this	DET
ejpam-6355	313	2	expansion	expansion	NOUN
ejpam-6355	313	3	allows	allow	VERB
ejpam-6355	313	4	the	the	DET
ejpam-6355	313	5	determination	determination	NOUN
ejpam-6355	313	6	of	of	ADP
ejpam-6355	313	7	unknown	unknown	ADJ
ejpam-6355	313	8	coefficients	coefficient	NOUN
ejpam-6355	313	9	for	for	ADP
ejpam-6355	313	10	any	any	DET
ejpam-6355	313	11	given	give	VERB
ejpam-6355	313	12	û(z	û(z	NOUN
ejpam-6355	313	13	)	)	PUNCT
ejpam-6355	313	14	ensuring	ensure	VERB
ejpam-6355	313	15	high	high	ADJ
ejpam-6355	313	16	accuracy	accuracy	NOUN
ejpam-6355	313	17	.	.	PUNCT
ejpam-6355	314	1	a	a	DET
ejpam-6355	314	2	key	key	ADJ
ejpam-6355	314	3	feature	feature	NOUN
ejpam-6355	314	4	of	of	ADP
ejpam-6355	314	5	weeks	week	NOUN
ejpam-6355	314	6	’	'	PUNCT
ejpam-6355	314	7	approach	approach	NOUN
ejpam-6355	314	8	is	be	AUX
ejpam-6355	314	9	its	its	PRON
ejpam-6355	314	10	ability	ability	NOUN
ejpam-6355	314	11	to	to	PART
ejpam-6355	314	12	include	include	VERB
ejpam-6355	314	13	a	a	DET
ejpam-6355	314	14	complex	complex	ADJ
ejpam-6355	314	15	parameter	parameter	NOUN
ejpam-6355	314	16	z	z	PROPN
ejpam-6355	314	17	defined	define	VERB
ejpam-6355	314	18	as	as	ADP
ejpam-6355	314	19	z	z	NOUN
ejpam-6355	314	20	=	=	SYM
ejpam-6355	314	21	χ+	χ+	X
ejpam-6355	314	22	iϑ	iϑ	INTJ
ejpam-6355	314	23	,	,	PUNCT
ejpam-6355	314	24	ϑ	ϑ	PROPN
ejpam-6355	314	25	∈	∈	PROPN
ejpam-6355	314	26	r.	r.	NOUN
ejpam-6355	314	27	in	in	ADP
ejpam-6355	314	28	addition	addition	NOUN
ejpam-6355	314	29	to	to	ADP
ejpam-6355	314	30	improving	improve	VERB
ejpam-6355	314	31	accuracy	accuracy	NOUN
ejpam-6355	314	32	,	,	PUNCT
ejpam-6355	314	33	this	this	DET
ejpam-6355	314	34	parametrization	parametrization	NOUN
ejpam-6355	314	35	offers	offer	VERB
ejpam-6355	314	36	more	more	ADJ
ejpam-6355	314	37	flexibility	flexibility	NOUN
ejpam-6355	314	38	to	to	ADP
ejpam-6355	314	39	a	a	DET
ejpam-6355	314	40	wide	wide	ADJ
ejpam-6355	314	41	range	range	NOUN
ejpam-6355	314	42	of	of	ADP
ejpam-6355	314	43	functions	function	NOUN
ejpam-6355	314	44	with	with	ADP
ejpam-6355	314	45	different	different	ADJ
ejpam-6355	314	46	singularity	singularity	NOUN
ejpam-6355	314	47	structures	structure	NOUN
ejpam-6355	314	48	.	.	PUNCT
ejpam-6355	315	1	studies	study	NOUN
ejpam-6355	315	2	like	like	ADP
ejpam-6355	315	3	those	those	PRON
ejpam-6355	315	4	carried	carry	VERB
ejpam-6355	315	5	out	out	ADP
ejpam-6355	315	6	by	by	ADP
ejpam-6355	315	7	abate	abate	NOUN
ejpam-6355	315	8	and	and	CCONJ
ejpam-6355	315	9	whitt	whitt	VERB
ejpam-6355	316	1	[	[	X
ejpam-6355	316	2	27	27	NUM
ejpam-6355	316	3	]	]	PUNCT
ejpam-6355	316	4	have	have	AUX
ejpam-6355	316	5	shown	show	VERB
ejpam-6355	316	6	the	the	DET
ejpam-6355	316	7	efficiency	efficiency	NOUN
ejpam-6355	316	8	of	of	ADP
ejpam-6355	316	9	the	the	DET
ejpam-6355	316	10	weeks	week	NOUN
ejpam-6355	316	11	method	method	NOUN
ejpam-6355	316	12	in	in	ADP
ejpam-6355	316	13	minimizing	minimize	VERB
ejpam-6355	316	14	the	the	DET
ejpam-6355	316	15	oscillations	oscillation	NOUN
ejpam-6355	316	16	during	during	ADP
ejpam-6355	316	17	the	the	DET
ejpam-6355	316	18	inversion	inversion	NOUN
ejpam-6355	316	19	technique	technique	NOUN
ejpam-6355	316	20	,	,	PUNCT
ejpam-6355	316	21	especially	especially	ADV
ejpam-6355	316	22	when	when	SCONJ
ejpam-6355	316	23	compared	compare	VERB
ejpam-6355	316	24	to	to	ADP
ejpam-6355	316	25	other	other	ADJ
ejpam-6355	316	26	inversion	inversion	NOUN
ejpam-6355	316	27	methods	method	NOUN
ejpam-6355	316	28	.	.	PUNCT
ejpam-6355	317	1	it	it	PRON
ejpam-6355	317	2	is	be	AUX
ejpam-6355	317	3	a	a	DET
ejpam-6355	317	4	preferred	preferred	ADJ
ejpam-6355	317	5	choice	choice	NOUN
ejpam-6355	317	6	in	in	ADP
ejpam-6355	317	7	a	a	DET
ejpam-6355	317	8	wide	wide	ADJ
ejpam-6355	317	9	range	range	NOUN
ejpam-6355	317	10	of	of	ADP
ejpam-6355	317	11	applied	applied	ADJ
ejpam-6355	317	12	and	and	CCONJ
ejpam-6355	317	13	theoretical	theoretical	ADJ
ejpam-6355	317	14	contexts	context	NOUN
ejpam-6355	317	15	due	due	ADP
ejpam-6355	317	16	to	to	ADP
ejpam-6355	317	17	its	its	PRON
ejpam-6355	317	18	versatility	versatility	NOUN
ejpam-6355	317	19	,	,	PUNCT
ejpam-6355	317	20	which	which	PRON
ejpam-6355	317	21	is	be	AUX
ejpam-6355	317	22	demonstrated	demonstrate	VERB
ejpam-6355	317	23	by	by	ADP
ejpam-6355	317	24	its	its	PRON
ejpam-6355	317	25	ability	ability	NOUN
ejpam-6355	317	26	to	to	PART
ejpam-6355	317	27	adapt	adapt	VERB
ejpam-6355	317	28	to	to	ADP
ejpam-6355	317	29	both	both	CCONJ
ejpam-6355	317	30	smooth	smooth	ADJ
ejpam-6355	317	31	and	and	CCONJ
ejpam-6355	317	32	non	non	ADJ
ejpam-6355	317	33	-	-	ADJ
ejpam-6355	317	34	smooth	smooth	ADJ
ejpam-6355	317	35	functions	function	NOUN
ejpam-6355	317	36	.	.	PUNCT
ejpam-6355	318	1	thus	thus	ADV
ejpam-6355	318	2	,	,	PUNCT
ejpam-6355	318	3	by	by	ADP
ejpam-6355	318	4	accurately	accurately	ADV
ejpam-6355	318	5	tuning	tune	VERB
ejpam-6355	318	6	the	the	DET
ejpam-6355	318	7	parameters	parameter	NOUN
ejpam-6355	318	8	χ	χ	X
ejpam-6355	318	9	and	and	CCONJ
ejpam-6355	318	10	ξ	ξ	PROPN
ejpam-6355	318	11	,	,	PUNCT
ejpam-6355	318	12	the	the	DET
ejpam-6355	318	13	weeks	week	NOUN
ejpam-6355	318	14	technique	technique	NOUN
ejpam-6355	318	15	guarantees	guarantee	VERB
ejpam-6355	318	16	a	a	DET
ejpam-6355	318	17	solid	solid	ADJ
ejpam-6355	318	18	and	and	CCONJ
ejpam-6355	318	19	efficient	efficient	ADJ
ejpam-6355	318	20	technique	technique	NOUN
ejpam-6355	318	21	,	,	PUNCT
ejpam-6355	318	22	leading	lead	VERB
ejpam-6355	318	23	to	to	ADP
ejpam-6355	318	24	the	the	DET
ejpam-6355	318	25	formulation	formulation	NOUN
ejpam-6355	318	26	as	as	SCONJ
ejpam-6355	318	27	follows	follow	VERB
ejpam-6355	318	28	:	:	PUNCT
ejpam-6355	318	29	kamran	kamran	PROPN
ejpam-6355	318	30	et	et	PROPN
ejpam-6355	318	31	al	al	PROPN
ejpam-6355	318	32	.	.	PUNCT
ejpam-6355	318	33	/	/	SYM
ejpam-6355	318	34	eur	eur	PROPN
ejpam-6355	318	35	.	.	PUNCT
ejpam-6355	319	1	j.	j.	PROPN
ejpam-6355	319	2	pure	pure	PROPN
ejpam-6355	319	3	appl	appl	PROPN
ejpam-6355	319	4	.	.	PROPN
ejpam-6355	319	5	math	math	PROPN
ejpam-6355	319	6	,	,	PUNCT
ejpam-6355	319	7	18	18	NUM
ejpam-6355	319	8	(	(	PUNCT
ejpam-6355	319	9	3	3	NUM
ejpam-6355	319	10	)	)	PUNCT
ejpam-6355	319	11	(	(	PUNCT
ejpam-6355	319	12	2025	2025	NUM
ejpam-6355	319	13	)	)	PUNCT
ejpam-6355	319	14	,	,	PUNCT
ejpam-6355	319	15	6355	6355	NUM
ejpam-6355	319	16	12	12	NUM
ejpam-6355	319	17	of	of	ADP
ejpam-6355	319	18	22	22	NUM
ejpam-6355	319	19	un(t	un(t	NUM
ejpam-6355	319	20	)	)	PUNCT
ejpam-6355	320	1	=	=	PRON
ejpam-6355	320	2	eχt	eχt	VERB
ejpam-6355	320	3	2π	2π	PROPN
ejpam-6355	320	4	∫	∫	PROPN
ejpam-6355	320	5	∞	∞	PROPN
ejpam-6355	320	6	−∞	−∞	X
ejpam-6355	320	7	eitξû(χ+	eitξû(χ+	NOUN
ejpam-6355	320	8	iξ)dξ	iξ)dξ	X
ejpam-6355	320	9	.	.	PUNCT
ejpam-6355	321	1	(	(	PUNCT
ejpam-6355	321	2	10	10	NUM
ejpam-6355	321	3	)	)	PUNCT
ejpam-6355	321	4	the	the	DET
ejpam-6355	321	5	transform	transform	NOUN
ejpam-6355	321	6	function	function	NOUN
ejpam-6355	321	7	û(χ+	û(χ+	VERB
ejpam-6355	321	8	iξ	iξ	ADP
ejpam-6355	321	9	)	)	PUNCT
ejpam-6355	321	10	is	be	AUX
ejpam-6355	321	11	expanded	expand	VERB
ejpam-6355	321	12	using	use	VERB
ejpam-6355	321	13	the	the	DET
ejpam-6355	321	14	laguerre	laguerre	NOUN
ejpam-6355	321	15	series	series	NOUN
ejpam-6355	321	16	of	of	ADP
ejpam-6355	321	17	the	the	DET
ejpam-6355	321	18	form	form	NOUN
ejpam-6355	321	19	:	:	PUNCT
ejpam-6355	321	20	û(χ+	û(χ+	VERB
ejpam-6355	321	21	iξ	iξ	ADP
ejpam-6355	321	22	)	)	PUNCT
ejpam-6355	321	23	=	=	PUNCT
ejpam-6355	322	1	∞∑	∞∑	NUM
ejpam-6355	322	2	ȷ=−∞	ȷ=−∞	NUM
ejpam-6355	322	3	αȷ	αȷ	INTJ
ejpam-6355	322	4	(	(	PUNCT
ejpam-6355	322	5	−ϖ	−ϖ	NOUN
ejpam-6355	322	6	+	+	NOUN
ejpam-6355	322	7	iξ)ȷ	iξ)ȷ	PROPN
ejpam-6355	322	8	(	(	PUNCT
ejpam-6355	322	9	ϖ	ϖ	PROPN
ejpam-6355	322	10	+	+	CCONJ
ejpam-6355	322	11	iξ)ȷ+1	iξ)ȷ+1	PROPN
ejpam-6355	322	12	,	,	PUNCT
ejpam-6355	322	13	ϖ	ϖ	X
ejpam-6355	322	14	>	>	X
ejpam-6355	322	15	0	0	NUM
ejpam-6355	322	16	,	,	PUNCT
ejpam-6355	322	17	ξ	ξ	PROPN
ejpam-6355	322	18	∈	∈	PROPN
ejpam-6355	322	19	r.	r.	NOUN
ejpam-6355	322	20	(	(	PUNCT
ejpam-6355	322	21	11	11	NUM
ejpam-6355	322	22	)	)	PUNCT
ejpam-6355	322	23	using	use	VERB
ejpam-6355	322	24	(	(	PUNCT
ejpam-6355	322	25	11	11	NUM
ejpam-6355	322	26	)	)	PUNCT
ejpam-6355	322	27	in	in	ADP
ejpam-6355	322	28	(	(	PUNCT
ejpam-6355	322	29	10	10	NUM
ejpam-6355	322	30	)	)	PUNCT
ejpam-6355	322	31	,	,	PUNCT
ejpam-6355	322	32	resulting	result	VERB
ejpam-6355	322	33	in	in	ADP
ejpam-6355	322	34	:	:	PUNCT
ejpam-6355	322	35	un(t	un(t	NUM
ejpam-6355	322	36	)	)	PUNCT
ejpam-6355	322	37	=	=	PRON
ejpam-6355	322	38	eχt	eχt	VERB
ejpam-6355	322	39	2π	2π	PROPN
ejpam-6355	322	40	∞∑	∞∑	NUM
ejpam-6355	322	41	ȷ=−∞	ȷ=−∞	NUM
ejpam-6355	322	42	αȷδȷ(t;ϖ	αȷδȷ(t;ϖ	NOUN
ejpam-6355	322	43	)	)	PUNCT
ejpam-6355	322	44	,	,	PUNCT
ejpam-6355	322	45	(	(	PUNCT
ejpam-6355	322	46	12	12	NUM
ejpam-6355	322	47	)	)	PUNCT
ejpam-6355	322	48	where	where	SCONJ
ejpam-6355	322	49	δȷ(t;ϖ	δȷ(t;ϖ	NOUN
ejpam-6355	322	50	)	)	PUNCT
ejpam-6355	322	51	=	=	SYM
ejpam-6355	323	1	∫	∫	PROPN
ejpam-6355	323	2	∞	∞	PROPN
ejpam-6355	323	3	−∞	−∞	ADP
ejpam-6355	323	4	eitξ	eitξ	NOUN
ejpam-6355	323	5	(	(	PUNCT
ejpam-6355	323	6	−ϖ	−ϖ	NOUN
ejpam-6355	323	7	+	+	NOUN
ejpam-6355	323	8	iξ)ȷ	iξ)ȷ	PROPN
ejpam-6355	323	9	(	(	PUNCT
ejpam-6355	323	10	ϖ	ϖ	PROPN
ejpam-6355	323	11	+	+	NUM
ejpam-6355	323	12	iξ)ȷ+1	iξ)ȷ+1	PROPN
ejpam-6355	323	13	dξ	dξ	PROPN
ejpam-6355	323	14	.	.	PUNCT
ejpam-6355	324	1	(	(	PUNCT
ejpam-6355	324	2	13	13	NUM
ejpam-6355	324	3	)	)	PUNCT
ejpam-6355	324	4	for	for	ADP
ejpam-6355	324	5	evaluating	evaluate	VERB
ejpam-6355	324	6	the	the	DET
ejpam-6355	324	7	fourier	fourier	NOUN
ejpam-6355	324	8	integral	integral	ADJ
ejpam-6355	324	9	,	,	PUNCT
ejpam-6355	324	10	residues	residue	NOUN
ejpam-6355	324	11	offer	offer	VERB
ejpam-6355	324	12	a	a	DET
ejpam-6355	324	13	potent	potent	ADJ
ejpam-6355	324	14	tool	tool	NOUN
ejpam-6355	324	15	,	,	PUNCT
ejpam-6355	324	16	particularly	particularly	ADV
ejpam-6355	324	17	when	when	SCONJ
ejpam-6355	324	18	dealing	deal	VERB
ejpam-6355	324	19	with	with	ADP
ejpam-6355	324	20	complex	complex	ADJ
ejpam-6355	324	21	-	-	PUNCT
ejpam-6355	324	22	valued	value	VERB
ejpam-6355	324	23	functions	function	NOUN
ejpam-6355	324	24	.	.	PUNCT
ejpam-6355	325	1	for	for	ADP
ejpam-6355	325	2	t	t	PROPN
ejpam-6355	325	3	>	>	X
ejpam-6355	325	4	0	0	PROPN
ejpam-6355	325	5	,	,	PUNCT
ejpam-6355	325	6	the	the	DET
ejpam-6355	325	7	evaluation	evaluation	NOUN
ejpam-6355	325	8	yields	yield	VERB
ejpam-6355	325	9	:	:	PUNCT
ejpam-6355	325	10	δȷ(t;ϖ	δȷ(t;ϖ	NOUN
ejpam-6355	325	11	)	)	PUNCT
ejpam-6355	325	12	=	=	SYM
ejpam-6355	325	13	{	{	PUNCT
ejpam-6355	325	14	2πe−ϖtlȷ(2ϖt	2πe−ϖtlȷ(2ϖt	NOUN
ejpam-6355	325	15	)	)	PUNCT
ejpam-6355	325	16	,	,	PUNCT
ejpam-6355	325	17	ȷ	ȷ	X
ejpam-6355	325	18	≥	≥	NOUN
ejpam-6355	325	19	0	0	NUM
ejpam-6355	325	20	,	,	PUNCT
ejpam-6355	325	21	0	0	NUM
ejpam-6355	325	22	,	,	PUNCT
ejpam-6355	325	23	ȷ	ȷ	X
ejpam-6355	325	24	<	<	X
ejpam-6355	325	25	0	0	NUM
ejpam-6355	325	26	.	.	PUNCT
ejpam-6355	326	1	(	(	PUNCT
ejpam-6355	326	2	14	14	NUM
ejpam-6355	326	3	)	)	PUNCT
ejpam-6355	326	4	the	the	DET
ejpam-6355	326	5	ȷth	ȷth	NOUN
ejpam-6355	326	6	degree	degree	NOUN
ejpam-6355	326	7	laguerre	laguerre	NOUN
ejpam-6355	326	8	polynomials	polynomial	NOUN
ejpam-6355	326	9	,	,	PUNCT
ejpam-6355	326	10	lȷ(t	lȷ(t	NOUN
ejpam-6355	326	11	)	)	PUNCT
ejpam-6355	326	12	,	,	PUNCT
ejpam-6355	326	13	play	play	VERB
ejpam-6355	326	14	an	an	DET
ejpam-6355	326	15	important	important	ADJ
ejpam-6355	326	16	role	role	NOUN
ejpam-6355	326	17	in	in	ADP
ejpam-6355	326	18	expansions	expansion	NOUN
ejpam-6355	326	19	like	like	ADP
ejpam-6355	326	20	those	those	PRON
ejpam-6355	326	21	used	use	VERB
ejpam-6355	326	22	in	in	ADP
ejpam-6355	326	23	the	the	DET
ejpam-6355	326	24	weeks	week	NOUN
ejpam-6355	326	25	method	method	NOUN
ejpam-6355	326	26	.	.	PUNCT
ejpam-6355	327	1	the	the	DET
ejpam-6355	327	2	lȷ(t	lȷ(t	NOUN
ejpam-6355	327	3	)	)	PUNCT
ejpam-6355	327	4	are	be	AUX
ejpam-6355	327	5	defined	define	VERB
ejpam-6355	327	6	as	as	ADP
ejpam-6355	327	7	:	:	PUNCT
ejpam-6355	327	8	lȷ(t	lȷ(t	X
ejpam-6355	327	9	)	)	PUNCT
ejpam-6355	327	10	=	=	SYM
ejpam-6355	327	11	et	et	NOUN
ejpam-6355	327	12	ȷ	ȷ	NOUN
ejpam-6355	327	13	!	!	PUNCT
ejpam-6355	328	1	dȷ	dȷ	PROPN
ejpam-6355	328	2	dtȷ	dtȷ	PROPN
ejpam-6355	328	3	(	(	PUNCT
ejpam-6355	328	4	e−ttȷ	e−ttȷ	NOUN
ejpam-6355	328	5	)	)	PUNCT
ejpam-6355	328	6	.	.	PUNCT
ejpam-6355	329	1	(	(	PUNCT
ejpam-6355	329	2	15	15	NUM
ejpam-6355	329	3	)	)	PUNCT
ejpam-6355	329	4	in	in	ADP
ejpam-6355	329	5	this	this	DET
ejpam-6355	329	6	contexts	contexts	NOUN
ejpam-6355	329	7	,	,	PUNCT
ejpam-6355	329	8	χ	χ	PROPN
ejpam-6355	329	9	>	>	X
ejpam-6355	329	10	χ0	χ0	PROPN
ejpam-6355	329	11	,	,	PUNCT
ejpam-6355	329	12	where	where	SCONJ
ejpam-6355	329	13	χ0	χ0	PROPN
ejpam-6355	329	14	denotes	denote	VERB
ejpam-6355	329	15	the	the	DET
ejpam-6355	329	16	abscissa	abscissa	NOUN
ejpam-6355	329	17	of	of	ADP
ejpam-6355	329	18	convergence	convergence	NOUN
ejpam-6355	329	19	.	.	PUNCT
ejpam-6355	330	1	the	the	DET
ejpam-6355	330	2	parameters	parameter	NOUN
ejpam-6355	330	3	χ,ϖ	χ,ϖ	VERB
ejpam-6355	330	4	represent	represent	VERB
ejpam-6355	330	5	positive	positive	ADJ
ejpam-6355	330	6	real	real	ADJ
ejpam-6355	330	7	numbers	number	NOUN
ejpam-6355	330	8	,	,	PUNCT
ejpam-6355	330	9	while	while	SCONJ
ejpam-6355	330	10	αȷ	αȷ	PRON
ejpam-6355	330	11	are	be	AUX
ejpam-6355	330	12	the	the	DET
ejpam-6355	330	13	unknown	unknown	ADJ
ejpam-6355	330	14	coefficients	coefficient	NOUN
ejpam-6355	330	15	that	that	PRON
ejpam-6355	330	16	must	must	AUX
ejpam-6355	330	17	be	be	AUX
ejpam-6355	330	18	determined	determine	VERB
ejpam-6355	330	19	.	.	PUNCT
ejpam-6355	331	1	c(φ	c(φ	NOUN
ejpam-6355	331	2	)	)	PUNCT
ejpam-6355	332	1	=	=	SYM
ejpam-6355	332	2	2ϖ	2ϖ	NUM
ejpam-6355	332	3	1	1	NUM
ejpam-6355	332	4	−	−	PROPN
ejpam-6355	332	5	φ	φ	NOUN
ejpam-6355	332	6	û	û	NUM
ejpam-6355	332	7	(	(	PUNCT
ejpam-6355	332	8	χ+	χ+	NUM
ejpam-6355	332	9	2ϖ	2ϖ	NUM
ejpam-6355	332	10	1	1	NUM
ejpam-6355	332	11	−	−	PROPN
ejpam-6355	332	12	φ	φ	NOUN
ejpam-6355	332	13	−ϖ	−ϖ	NOUN
ejpam-6355	332	14	)	)	PUNCT
ejpam-6355	332	15	=	=	PUNCT
ejpam-6355	333	1	∞∑	∞∑	NUM
ejpam-6355	333	2	ȷ=0	ȷ=0	NUM
ejpam-6355	333	3	αȷφ	αȷφ	NOUN
ejpam-6355	333	4	ȷ	ȷ	NOUN
ejpam-6355	333	5	,	,	PUNCT
ejpam-6355	333	6	|φ|	|φ|	VERB
ejpam-6355	333	7	<	<	X
ejpam-6355	333	8	r	r	NOUN
ejpam-6355	333	9	,	,	PUNCT
ejpam-6355	333	10	(	(	PUNCT
ejpam-6355	333	11	16	16	NUM
ejpam-6355	333	12	)	)	PUNCT
ejpam-6355	333	13	where	where	SCONJ
ejpam-6355	333	14	r	r	NOUN
ejpam-6355	333	15	represents	represent	VERB
ejpam-6355	333	16	the	the	DET
ejpam-6355	333	17	radius	radius	NOUN
ejpam-6355	333	18	of	of	ADP
ejpam-6355	333	19	convergence	convergence	NOUN
ejpam-6355	333	20	of	of	ADP
ejpam-6355	333	21	the	the	DET
ejpam-6355	333	22	maclaurin	maclaurin	NOUN
ejpam-6355	333	23	series	series	NOUN
ejpam-6355	333	24	in	in	ADP
ejpam-6355	333	25	eq	eq	PROPN
ejpam-6355	333	26	.	.	PUNCT
ejpam-6355	334	1	(	(	PUNCT
ejpam-6355	334	2	16	16	NUM
ejpam-6355	334	3	)	)	PUNCT
ejpam-6355	334	4	.	.	PUNCT
ejpam-6355	335	1	the	the	DET
ejpam-6355	335	2	coefficients	coefficient	NOUN
ejpam-6355	335	3	αȷ	αȷ	NUM
ejpam-6355	335	4	are	be	AUX
ejpam-6355	335	5	calculated	calculate	VERB
ejpam-6355	335	6	as	as	SCONJ
ejpam-6355	335	7	follows	follow	VERB
ejpam-6355	335	8	:	:	PUNCT
ejpam-6355	335	9	αȷ	αȷ	NUM
ejpam-6355	335	10	=	=	SYM
ejpam-6355	335	11	1	1	NUM
ejpam-6355	335	12	2πi	2πi	ADJ
ejpam-6355	335	13	∫	∫	NOUN
ejpam-6355	335	14	|φ|=1	|φ|=1	NOUN
ejpam-6355	335	15	c(φ	c(φ	NOUN
ejpam-6355	335	16	)	)	PUNCT
ejpam-6355	335	17	φȷ+1	φȷ+1	PROPN
ejpam-6355	335	18	dφ	dφ	ADP
ejpam-6355	335	19	=	=	SYM
ejpam-6355	335	20	1	1	NUM
ejpam-6355	335	21	2π	2π	NUM
ejpam-6355	335	22	∫	∫	PROPN
ejpam-6355	336	1	π	π	PROPN
ejpam-6355	336	2	−π	−π	PROPN
ejpam-6355	336	3	c(eiζ)e−iȷζdζ	c(eiζ)e−iȷζdζ	PROPN
ejpam-6355	336	4	.	.	PUNCT
ejpam-6355	337	1	(	(	PUNCT
ejpam-6355	337	2	17	17	NUM
ejpam-6355	337	3	)	)	PUNCT
ejpam-6355	337	4	the	the	DET
ejpam-6355	337	5	integral	integral	NOUN
ejpam-6355	337	6	in	in	ADP
ejpam-6355	337	7	eq	eq	ADP
ejpam-6355	337	8	.	.	PUNCT
ejpam-6355	338	1	(	(	PUNCT
ejpam-6355	338	2	17	17	NUM
ejpam-6355	338	3	)	)	PUNCT
ejpam-6355	338	4	is	be	AUX
ejpam-6355	338	5	equivalent	equivalent	ADJ
ejpam-6355	338	6	to	to	ADP
ejpam-6355	338	7	cauchy	cauchy	VERB
ejpam-6355	338	8	’s	’s	PART
ejpam-6355	338	9	integral	integral	ADJ
ejpam-6355	338	10	formula	formula	NOUN
ejpam-6355	338	11	,	,	PUNCT
ejpam-6355	338	12	which	which	PRON
ejpam-6355	338	13	is	be	AUX
ejpam-6355	338	14	crucial	crucial	ADJ
ejpam-6355	338	15	for	for	ADP
ejpam-6355	338	16	evaluating	evaluate	VERB
ejpam-6355	338	17	contour	contour	NOUN
ejpam-6355	338	18	integrals	integral	NOUN
ejpam-6355	338	19	.	.	PUNCT
ejpam-6355	339	1	the	the	DET
ejpam-6355	339	2	integral	integral	ADJ
ejpam-6355	339	3	can	can	AUX
ejpam-6355	339	4	be	be	AUX
ejpam-6355	339	5	numerically	numerically	ADV
ejpam-6355	339	6	approximated	approximate	VERB
ejpam-6355	339	7	as	as	SCONJ
ejpam-6355	339	8	follows	follow	VERB
ejpam-6355	339	9	:	:	PUNCT
ejpam-6355	339	10	α̃ȷ	α̃ȷ	X
ejpam-6355	339	11	=	=	SYM
ejpam-6355	340	1	e−iȷλ/2	e−iȷλ/2	NUM
ejpam-6355	340	2	2n	2n	NUM
ejpam-6355	340	3	n−1∑	n−1∑	PROPN
ejpam-6355	340	4	j=−n	j=−n	PROPN
ejpam-6355	340	5	c(eiζj+1/2)e−iȷζj	c(eiζj+1/2)e−iȷζj	X
ejpam-6355	340	6	,	,	PUNCT
ejpam-6355	340	7	ȷ	ȷ	X
ejpam-6355	340	8	=	=	SYM
ejpam-6355	340	9	0	0	NUM
ejpam-6355	340	10	,	,	PUNCT
ejpam-6355	340	11	1	1	NUM
ejpam-6355	340	12	,	,	PUNCT
ejpam-6355	340	13	2	2	NUM
ejpam-6355	340	14	,	,	PUNCT
ejpam-6355	340	15	...	...	PUNCT
ejpam-6355	340	16	,	,	PUNCT
ejpam-6355	340	17	n−	n−	NOUN
ejpam-6355	340	18	1	1	NUM
ejpam-6355	340	19	,	,	PUNCT
ejpam-6355	340	20	(	(	PUNCT
ejpam-6355	340	21	18	18	NUM
ejpam-6355	340	22	)	)	PUNCT
ejpam-6355	340	23	where	where	SCONJ
ejpam-6355	340	24	ζj	ζj	NOUN
ejpam-6355	340	25	=	=	PUNCT
ejpam-6355	340	26	jλ	jλ	ADJ
ejpam-6355	340	27	,	,	PUNCT
ejpam-6355	340	28	λ	λ	X
ejpam-6355	340	29	=	=	SYM
ejpam-6355	340	30	π	π	NOUN
ejpam-6355	340	31	n	n	INTJ
ejpam-6355	340	32	.	.	PUNCT
ejpam-6355	341	1	kamran	kamran	PROPN
ejpam-6355	341	2	et	et	PROPN
ejpam-6355	341	3	al	al	PROPN
ejpam-6355	341	4	.	.	PUNCT
ejpam-6355	341	5	/	/	SYM
ejpam-6355	341	6	eur	eur	PROPN
ejpam-6355	341	7	.	.	PUNCT
ejpam-6355	342	1	j.	j.	PROPN
ejpam-6355	342	2	pure	pure	PROPN
ejpam-6355	342	3	appl	appl	PROPN
ejpam-6355	342	4	.	.	PROPN
ejpam-6355	342	5	math	math	PROPN
ejpam-6355	342	6	,	,	PUNCT
ejpam-6355	342	7	18	18	NUM
ejpam-6355	342	8	(	(	PUNCT
ejpam-6355	342	9	3	3	NUM
ejpam-6355	342	10	)	)	PUNCT
ejpam-6355	342	11	(	(	PUNCT
ejpam-6355	342	12	2025	2025	NUM
ejpam-6355	342	13	)	)	PUNCT
ejpam-6355	342	14	,	,	PUNCT
ejpam-6355	342	15	6355	6355	NUM
ejpam-6355	342	16	13	13	NUM
ejpam-6355	342	17	of	of	ADP
ejpam-6355	342	18	22	22	NUM
ejpam-6355	342	19	4.3.1	4.3.1	NUM
ejpam-6355	342	20	.	.	PUNCT
ejpam-6355	343	1	error	error	NOUN
ejpam-6355	343	2	analysis	analysis	NOUN
ejpam-6355	343	3	error	error	NOUN
ejpam-6355	343	4	analysis	analysis	NOUN
ejpam-6355	343	5	plays	play	VERB
ejpam-6355	343	6	an	an	DET
ejpam-6355	343	7	important	important	ADJ
ejpam-6355	343	8	role	role	NOUN
ejpam-6355	343	9	in	in	ADP
ejpam-6355	343	10	assessing	assess	VERB
ejpam-6355	343	11	the	the	DET
ejpam-6355	343	12	reliability	reliability	NOUN
ejpam-6355	343	13	and	and	CCONJ
ejpam-6355	343	14	precision	precision	NOUN
ejpam-6355	343	15	of	of	ADP
ejpam-6355	343	16	numerical	numerical	ADJ
ejpam-6355	343	17	methods	method	NOUN
ejpam-6355	343	18	,	,	PUNCT
ejpam-6355	343	19	especially	especially	ADV
ejpam-6355	343	20	for	for	ADP
ejpam-6355	343	21	algorithms	algorithm	NOUN
ejpam-6355	343	22	designed	design	VERB
ejpam-6355	343	23	to	to	PART
ejpam-6355	343	24	perform	perform	VERB
ejpam-6355	343	25	numerical	numerical	ADJ
ejpam-6355	343	26	inversion	inversion	NOUN
ejpam-6355	343	27	of	of	ADP
ejpam-6355	343	28	the	the	DET
ejpam-6355	343	29	lt	lt	PROPN
ejpam-6355	343	30	.	.	PROPN
ejpam-6355	343	31	analyzing	analyze	VERB
ejpam-6355	343	32	the	the	DET
ejpam-6355	343	33	cause	cause	NOUN
ejpam-6355	343	34	and	and	CCONJ
ejpam-6355	343	35	propagation	propagation	NOUN
ejpam-6355	343	36	of	of	ADP
ejpam-6355	343	37	errors	error	NOUN
ejpam-6355	343	38	allows	allow	VERB
ejpam-6355	343	39	the	the	DET
ejpam-6355	343	40	assessment	assessment	NOUN
ejpam-6355	343	41	of	of	ADP
ejpam-6355	343	42	the	the	DET
ejpam-6355	343	43	efficiency	efficiency	NOUN
ejpam-6355	343	44	of	of	ADP
ejpam-6355	343	45	selected	select	VERB
ejpam-6355	343	46	methods	method	NOUN
ejpam-6355	343	47	and	and	CCONJ
ejpam-6355	343	48	the	the	DET
ejpam-6355	343	49	identification	identification	NOUN
ejpam-6355	343	50	of	of	ADP
ejpam-6355	343	51	potential	potential	ADJ
ejpam-6355	343	52	constraints	constraint	NOUN
ejpam-6355	343	53	.	.	PUNCT
ejpam-6355	344	1	the	the	DET
ejpam-6355	344	2	weeks	week	NOUN
ejpam-6355	344	3	method	method	NOUN
ejpam-6355	344	4	,	,	PUNCT
ejpam-6355	344	5	a	a	DET
ejpam-6355	344	6	widely	widely	ADV
ejpam-6355	344	7	used	use	VERB
ejpam-6355	344	8	method	method	NOUN
ejpam-6355	344	9	for	for	ADP
ejpam-6355	344	10	numerical	numerical	ADJ
ejpam-6355	344	11	lt	lt	DET
ejpam-6355	344	12	inversion	inversion	NOUN
ejpam-6355	344	13	,	,	PUNCT
ejpam-6355	344	14	adds	add	VERB
ejpam-6355	344	15	several	several	ADJ
ejpam-6355	344	16	error	error	NOUN
ejpam-6355	344	17	factors	factor	NOUN
ejpam-6355	344	18	that	that	PRON
ejpam-6355	344	19	can	can	AUX
ejpam-6355	344	20	affect	affect	VERB
ejpam-6355	344	21	the	the	DET
ejpam-6355	344	22	accuracy	accuracy	NOUN
ejpam-6355	344	23	of	of	ADP
ejpam-6355	344	24	the	the	DET
ejpam-6355	344	25	results	result	NOUN
ejpam-6355	344	26	.	.	PUNCT
ejpam-6355	345	1	these	these	DET
ejpam-6355	345	2	errors	error	NOUN
ejpam-6355	345	3	result	result	VERB
ejpam-6355	345	4	from	from	ADP
ejpam-6355	345	5	the	the	DET
ejpam-6355	345	6	numerical	numerical	ADJ
ejpam-6355	345	7	computation	computation	NOUN
ejpam-6355	345	8	of	of	ADP
ejpam-6355	345	9	the	the	DET
ejpam-6355	345	10	coefficient	coefficient	NOUN
ejpam-6355	345	11	,	,	PUNCT
ejpam-6355	345	12	the	the	DET
ejpam-6355	345	13	truncation	truncation	NOUN
ejpam-6355	345	14	of	of	ADP
ejpam-6355	345	15	infinite	infinite	ADJ
ejpam-6355	345	16	series	series	NOUN
ejpam-6355	345	17	,	,	PUNCT
ejpam-6355	345	18	and	and	CCONJ
ejpam-6355	345	19	the	the	DET
ejpam-6355	345	20	challenging	challenging	ADJ
ejpam-6355	345	21	process	process	NOUN
ejpam-6355	345	22	of	of	ADP
ejpam-6355	345	23	numerical	numerical	ADJ
ejpam-6355	345	24	inversion	inversion	NOUN
ejpam-6355	345	25	of	of	ADP
ejpam-6355	345	26	the	the	DET
ejpam-6355	345	27	lt	lt	NOUN
ejpam-6355	345	28	.	.	PROPN
ejpam-6355	345	29	by	by	ADP
ejpam-6355	345	30	comprehending	comprehend	VERB
ejpam-6355	345	31	and	and	CCONJ
ejpam-6355	345	32	quantifying	quantify	VERB
ejpam-6355	345	33	these	these	DET
ejpam-6355	345	34	errors	error	NOUN
ejpam-6355	345	35	,	,	PUNCT
ejpam-6355	345	36	researchers	researcher	NOUN
ejpam-6355	345	37	can	can	AUX
ejpam-6355	345	38	enhance	enhance	VERB
ejpam-6355	345	39	their	their	PRON
ejpam-6355	345	40	approach	approach	NOUN
ejpam-6355	345	41	and	and	CCONJ
ejpam-6355	345	42	ensure	ensure	VERB
ejpam-6355	345	43	the	the	DET
ejpam-6355	345	44	accuracy	accuracy	NOUN
ejpam-6355	345	45	of	of	ADP
ejpam-6355	345	46	their	their	PRON
ejpam-6355	345	47	solutions	solution	NOUN
ejpam-6355	345	48	.	.	PUNCT
ejpam-6355	346	1	weideman	weideman	NOUN
ejpam-6355	347	1	[	[	X
ejpam-6355	347	2	22	22	NUM
ejpam-6355	347	3	]	]	PUNCT
ejpam-6355	347	4	investigated	investigate	VERB
ejpam-6355	347	5	the	the	DET
ejpam-6355	347	6	error	error	NOUN
ejpam-6355	347	7	in	in	ADP
ejpam-6355	347	8	the	the	DET
ejpam-6355	347	9	weeks	week	NOUN
ejpam-6355	347	10	method	method	NOUN
ejpam-6355	347	11	and	and	CCONJ
ejpam-6355	347	12	provided	provide	VERB
ejpam-6355	347	13	detailed	detailed	ADJ
ejpam-6355	347	14	observations	observation	NOUN
ejpam-6355	347	15	.	.	PUNCT
ejpam-6355	348	1	u(t	u(t	NOUN
ejpam-6355	348	2	)	)	PUNCT
ejpam-6355	348	3	=	=	SYM
ejpam-6355	348	4	exp(χt	exp(χt	NOUN
ejpam-6355	348	5	)	)	PUNCT
ejpam-6355	348	6	∞∑	∞∑	NUM
ejpam-6355	348	7	ȷ=0	ȷ=0	NOUN
ejpam-6355	348	8	αȷexp(−ϖt)lȷ(2ϖt	αȷexp(−ϖt)lȷ(2ϖt	NUM
ejpam-6355	348	9	)	)	PUNCT
ejpam-6355	348	10	.	.	PUNCT
ejpam-6355	349	1	(	(	PUNCT
ejpam-6355	349	2	19	19	NUM
ejpam-6355	349	3	)	)	PUNCT
ejpam-6355	349	4	three	three	NUM
ejpam-6355	349	5	primary	primary	ADJ
ejpam-6355	349	6	sources	source	NOUN
ejpam-6355	349	7	of	of	ADP
ejpam-6355	349	8	error	error	NOUN
ejpam-6355	349	9	were	be	AUX
ejpam-6355	349	10	identified	identify	VERB
ejpam-6355	349	11	.	.	PUNCT
ejpam-6355	350	1	•	•	NUM
ejpam-6355	350	2	1st	1st	NOUN
ejpam-6355	350	3	:	:	PUNCT
ejpam-6355	350	4	the	the	DET
ejpam-6355	350	5	first	first	ADJ
ejpam-6355	350	6	source	source	NOUN
ejpam-6355	350	7	arise	arise	VERB
ejpam-6355	350	8	from	from	ADP
ejpam-6355	350	9	truncation	truncation	NOUN
ejpam-6355	350	10	of	of	ADP
ejpam-6355	350	11	the	the	DET
ejpam-6355	350	12	laguerre	laguerre	NOUN
ejpam-6355	350	13	series	series	NOUN
ejpam-6355	350	14	,	,	PUNCT
ejpam-6355	350	15	•	•	ADV
ejpam-6355	350	16	2nd	2nd	NOUN
ejpam-6355	350	17	:	:	PUNCT
ejpam-6355	350	18	the	the	DET
ejpam-6355	350	19	second	second	ADJ
ejpam-6355	350	20	source	source	NOUN
ejpam-6355	350	21	stems	stem	VERB
ejpam-6355	350	22	from	from	ADP
ejpam-6355	350	23	computing	compute	VERB
ejpam-6355	350	24	the	the	DET
ejpam-6355	350	25	unknown	unknown	ADJ
ejpam-6355	350	26	laguerre	laguerre	NOUN
ejpam-6355	350	27	coefficients	coefficient	VERB
ejpam-6355	350	28	numerically	numerically	ADV
ejpam-6355	350	29	,	,	PUNCT
ejpam-6355	350	30	•	•	ADV
ejpam-6355	350	31	3rd	3rd	NOUN
ejpam-6355	350	32	:	:	PUNCT
ejpam-6355	350	33	the	the	DET
ejpam-6355	350	34	third	third	ADJ
ejpam-6355	350	35	source	source	NOUN
ejpam-6355	350	36	of	of	ADP
ejpam-6355	350	37	error	error	NOUN
ejpam-6355	350	38	is	be	AUX
ejpam-6355	350	39	the	the	DET
ejpam-6355	350	40	numerical	numerical	ADJ
ejpam-6355	350	41	inversion	inversion	NOUN
ejpam-6355	350	42	of	of	ADP
ejpam-6355	350	43	the	the	DET
ejpam-6355	350	44	lt	lt	NOUN
ejpam-6355	350	45	.	.	PUNCT
ejpam-6355	351	1	the	the	DET
ejpam-6355	351	2	solution	solution	NOUN
ejpam-6355	351	3	incorporating	incorporate	VERB
ejpam-6355	351	4	these	these	DET
ejpam-6355	351	5	errors	error	NOUN
ejpam-6355	351	6	is	be	AUX
ejpam-6355	351	7	expressed	express	VERB
ejpam-6355	351	8	as	as	SCONJ
ejpam-6355	351	9	follows	follow	VERB
ejpam-6355	351	10	:	:	PUNCT
ejpam-6355	351	11	ũ(t	ũ(t	NOUN
ejpam-6355	351	12	)	)	PUNCT
ejpam-6355	351	13	=	=	SYM
ejpam-6355	352	1	exp(χt	exp(χt	NOUN
ejpam-6355	352	2	)	)	PUNCT
ejpam-6355	352	3	n−1∑	n−1∑	NUM
ejpam-6355	352	4	ȷ=0	ȷ=0	NUM
ejpam-6355	353	1	α̃ȷ(1	α̃ȷ(1	NUM
ejpam-6355	353	2	+	+	NUM
ejpam-6355	353	3	δȷ)exp(−ϖt)lȷ(2ϖt	δȷ)exp(−ϖt)lȷ(2ϖt	NOUN
ejpam-6355	353	4	)	)	PUNCT
ejpam-6355	353	5	,	,	PUNCT
ejpam-6355	353	6	(	(	PUNCT
ejpam-6355	353	7	20	20	NUM
ejpam-6355	353	8	)	)	PUNCT
ejpam-6355	353	9	where	where	SCONJ
ejpam-6355	353	10	δȷ	δȷ	NOUN
ejpam-6355	353	11	represents	represent	VERB
ejpam-6355	353	12	the	the	DET
ejpam-6355	353	13	relative	relative	ADJ
ejpam-6355	353	14	error	error	NOUN
ejpam-6355	353	15	in	in	ADP
ejpam-6355	353	16	the	the	DET
ejpam-6355	353	17	floating	float	VERB
ejpam-6355	353	18	-	-	PUNCT
ejpam-6355	353	19	point	point	NOUN
ejpam-6355	353	20	representation	representation	NOUN
ejpam-6355	353	21	of	of	ADP
ejpam-6355	353	22	the	the	DET
ejpam-6355	353	23	coefficients	coefficient	NOUN
ejpam-6355	353	24	,	,	PUNCT
ejpam-6355	353	25	i.e.	i.e.	X
ejpam-6355	353	26	,	,	PUNCT
ejpam-6355	353	27	fl(α̃ȷ	fl(α̃ȷ	NOUN
ejpam-6355	353	28	)	)	PUNCT
ejpam-6355	353	29	=	=	PUNCT
ejpam-6355	354	1	α̃ȷ(1	α̃ȷ(1	PROPN
ejpam-6355	354	2	+	+	NUM
ejpam-6355	354	3	δȷ	δȷ	NOUN
ejpam-6355	354	4	)	)	PUNCT
ejpam-6355	354	5	.	.	PUNCT
ejpam-6355	355	1	subtracting	subtract	VERB
ejpam-6355	355	2	(	(	PUNCT
ejpam-6355	355	3	20	20	NUM
ejpam-6355	355	4	)	)	PUNCT
ejpam-6355	355	5	from	from	ADP
ejpam-6355	355	6	(	(	PUNCT
ejpam-6355	355	7	19	19	NUM
ejpam-6355	355	8	)	)	PUNCT
ejpam-6355	355	9	and	and	CCONJ
ejpam-6355	355	10	letting	let	VERB
ejpam-6355	355	11	∑∞	∑∞	NOUN
ejpam-6355	355	12	ȷ=0	ȷ=0	PROPN
ejpam-6355	355	13	|αȷ|	|αȷ|	X
ejpam-6355	355	14	<	<	X
ejpam-6355	355	15	∞	∞	PROPN
ejpam-6355	355	16	,	,	PUNCT
ejpam-6355	355	17	the	the	DET
ejpam-6355	355	18	total	total	ADJ
ejpam-6355	355	19	error	error	NOUN
ejpam-6355	355	20	can	can	AUX
ejpam-6355	355	21	be	be	AUX
ejpam-6355	355	22	bounded	bound	VERB
ejpam-6355	355	23	as	as	ADP
ejpam-6355	355	24	:	:	PUNCT
ejpam-6355	355	25	|u(t	|u(t	NUM
ejpam-6355	355	26	)	)	PUNCT
ejpam-6355	355	27	−	−	PROPN
ejpam-6355	355	28	ũ(t)|	ũ(t)|	ADJ
ejpam-6355	355	29	≤	≤	NUM
ejpam-6355	355	30	e(χt	e(χt	NOUN
ejpam-6355	355	31	)	)	PUNCT
ejpam-6355	355	32	(	(	PUNCT
ejpam-6355	355	33	ert	ert	X
ejpam-6355	355	34	+	+	CCONJ
ejpam-6355	355	35	erd	erd	NOUN
ejpam-6355	355	36	+	+	CCONJ
ejpam-6355	355	37	erc	erc	PROPN
ejpam-6355	355	38	)	)	PUNCT
ejpam-6355	355	39	,	,	PUNCT
ejpam-6355	355	40	where	where	SCONJ
ejpam-6355	355	41	ert	ert	NOUN
ejpam-6355	355	42	is	be	AUX
ejpam-6355	355	43	the	the	DET
ejpam-6355	355	44	truncation	truncation	NOUN
ejpam-6355	355	45	error	error	NOUN
ejpam-6355	355	46	bound	bind	VERB
ejpam-6355	355	47	defined	define	VERB
ejpam-6355	355	48	as	as	ADP
ejpam-6355	355	49	:	:	PUNCT
ejpam-6355	355	50	ert	ert	X
ejpam-6355	355	51	=	=	NOUN
ejpam-6355	355	52	∞∑	∞∑	NUM
ejpam-6355	355	53	ȷ	ȷ	NOUN
ejpam-6355	355	54	=	=	NOUN
ejpam-6355	355	55	n	n	PRON
ejpam-6355	355	56	|αȷ|	|αȷ|	NOUN
ejpam-6355	355	57	,	,	PUNCT
ejpam-6355	355	58	erd	erd	PROPN
ejpam-6355	355	59	is	be	AUX
ejpam-6355	355	60	the	the	DET
ejpam-6355	355	61	discretization	discretization	NOUN
ejpam-6355	355	62	error	error	NOUN
ejpam-6355	355	63	bound	bind	VERB
ejpam-6355	355	64	defined	define	VERB
ejpam-6355	355	65	as	as	ADP
ejpam-6355	355	66	:	:	PUNCT
ejpam-6355	355	67	erd	erd	NOUN
ejpam-6355	355	68	=	=	SYM
ejpam-6355	355	69	n−1∑	n−1∑	PROPN
ejpam-6355	355	70	ȷ=0	ȷ=0	NOUN
ejpam-6355	355	71	|αȷ	|αȷ	NUM
ejpam-6355	355	72	−	−	NOUN
ejpam-6355	355	73	α̃ȷ|	α̃ȷ|	NOUN
ejpam-6355	355	74	,	,	PUNCT
ejpam-6355	356	1	kamran	kamran	PROPN
ejpam-6355	356	2	et	et	PROPN
ejpam-6355	356	3	al	al	PROPN
ejpam-6355	356	4	.	.	PUNCT
ejpam-6355	356	5	/	/	SYM
ejpam-6355	356	6	eur	eur	PROPN
ejpam-6355	356	7	.	.	PUNCT
ejpam-6355	357	1	j.	j.	PROPN
ejpam-6355	357	2	pure	pure	PROPN
ejpam-6355	357	3	appl	appl	PROPN
ejpam-6355	357	4	.	.	PROPN
ejpam-6355	357	5	math	math	PROPN
ejpam-6355	357	6	,	,	PUNCT
ejpam-6355	357	7	18	18	NUM
ejpam-6355	357	8	(	(	PUNCT
ejpam-6355	357	9	3	3	NUM
ejpam-6355	357	10	)	)	PUNCT
ejpam-6355	357	11	(	(	PUNCT
ejpam-6355	357	12	2025	2025	NUM
ejpam-6355	357	13	)	)	PUNCT
ejpam-6355	357	14	,	,	PUNCT
ejpam-6355	357	15	6355	6355	NUM
ejpam-6355	357	16	14	14	NUM
ejpam-6355	357	17	of	of	ADP
ejpam-6355	357	18	22	22	NUM
ejpam-6355	357	19	and	and	CCONJ
ejpam-6355	357	20	erc	erc	PROPN
ejpam-6355	357	21	is	be	AUX
ejpam-6355	357	22	the	the	DET
ejpam-6355	357	23	conditioning	conditioning	NOUN
ejpam-6355	357	24	error	error	NOUN
ejpam-6355	357	25	bound	bind	VERB
ejpam-6355	357	26	defined	define	VERB
ejpam-6355	357	27	as	as	ADP
ejpam-6355	357	28	:	:	PUNCT
ejpam-6355	357	29	erc	erc	PROPN
ejpam-6355	357	30	=	=	PUNCT
ejpam-6355	357	31	χ	χ	PROPN
ejpam-6355	357	32	n−1∑	n−1∑	PROPN
ejpam-6355	357	33	ȷ=0	ȷ=0	NOUN
ejpam-6355	357	34	|α̃ȷ|	|α̃ȷ|	NOUN
ejpam-6355	357	35	.	.	PUNCT
ejpam-6355	358	1	the	the	DET
ejpam-6355	358	2	machine	machine	NOUN
ejpam-6355	358	3	round	round	NOUN
ejpam-6355	358	4	-	-	PUNCT
ejpam-6355	358	5	off	off	ADP
ejpam-6355	358	6	unit	unit	NOUN
ejpam-6355	358	7	,	,	PUNCT
ejpam-6355	358	8	denoted	denote	VERB
ejpam-6355	358	9	by	by	ADP
ejpam-6355	358	10	δ	δ	PROPN
ejpam-6355	358	11	satisfies	satisfie	NOUN
ejpam-6355	358	12	max0≤ȷ≤n−1|δȷ|	max0≤ȷ≤n−1|δȷ|	NOUN
ejpam-6355	358	13	≤	≤	NUM
ejpam-6355	358	14	δ	δ	PROPN
ejpam-6355	358	15	..	..	PUNCT
ejpam-6355	358	16	in	in	ADP
ejpam-6355	358	17	particular	particular	ADJ
ejpam-6355	358	18	,	,	PUNCT
ejpam-6355	358	19	we	we	PRON
ejpam-6355	358	20	assume	assume	VERB
ejpam-6355	358	21	|exp(−ϖt)lȷ(2ϖt)|	|exp(−ϖt)lȷ(2ϖt)|	ADJ
ejpam-6355	358	22	≤	≤	ADJ
ejpam-6355	359	1	1	1	NUM
ejpam-6355	359	2	.	.	PUNCT
ejpam-6355	360	1	to	to	PART
ejpam-6355	360	2	simplify	simplify	VERB
ejpam-6355	360	3	the	the	DET
ejpam-6355	360	4	error	error	NOUN
ejpam-6355	360	5	analysis	analysis	NOUN
ejpam-6355	360	6	,	,	PUNCT
ejpam-6355	360	7	we	we	PRON
ejpam-6355	360	8	neglect	neglect	VERB
ejpam-6355	360	9	the	the	DET
ejpam-6355	360	10	discretization	discretization	NOUN
ejpam-6355	360	11	error	error	NOUN
ejpam-6355	360	12	erd	erd	NOUN
ejpam-6355	360	13	and	and	CCONJ
ejpam-6355	360	14	focus	focus	VERB
ejpam-6355	360	15	on	on	ADP
ejpam-6355	360	16	ert	ert	NOUN
ejpam-6355	360	17	and	and	CCONJ
ejpam-6355	360	18	erc	erc	PROPN
ejpam-6355	361	1	[	[	X
ejpam-6355	361	2	22	22	NUM
ejpam-6355	361	3	]	]	PUNCT
ejpam-6355	361	4	.	.	PUNCT
ejpam-6355	362	1	the	the	DET
ejpam-6355	362	2	bounds	bound	NOUN
ejpam-6355	362	3	provided	provide	VERB
ejpam-6355	362	4	in	in	ADP
ejpam-6355	362	5	[	[	NOUN
ejpam-6355	362	6	22	22	NUM
ejpam-6355	362	7	]	]	PUNCT
ejpam-6355	362	8	are	be	AUX
ejpam-6355	362	9	:	:	PUNCT
ejpam-6355	362	10	ert	ert	VERB
ejpam-6355	362	11	≤	≤	PROPN
ejpam-6355	362	12	ȷ(t	ȷ(t	PROPN
ejpam-6355	362	13	)	)	PUNCT
ejpam-6355	362	14	tn(t−	tn(t−	PRON
ejpam-6355	362	15	1	1	NUM
ejpam-6355	362	16	)	)	PUNCT
ejpam-6355	362	17	,	,	PUNCT
ejpam-6355	362	18	erc	erc	PROPN
ejpam-6355	362	19	≤	≤	PROPN
ejpam-6355	362	20	δ	δ	PROPN
ejpam-6355	362	21	tȷ(t	tȷ(t	PROPN
ejpam-6355	362	22	)	)	PUNCT
ejpam-6355	362	23	(	(	PUNCT
ejpam-6355	362	24	t−	t−	PROPN
ejpam-6355	362	25	1	1	NUM
ejpam-6355	362	26	)	)	PUNCT
ejpam-6355	362	27	,	,	PUNCT
ejpam-6355	362	28	where1	where1	PROPN
ejpam-6355	362	29	<	<	X
ejpam-6355	362	30	t	t	X
ejpam-6355	362	31	<	<	X
ejpam-6355	362	32	r.	r.	PROPN
ejpam-6355	362	33	therefore	therefore	ADV
ejpam-6355	362	34	,	,	PUNCT
ejpam-6355	362	35	the	the	DET
ejpam-6355	362	36	overall	overall	ADJ
ejpam-6355	362	37	error	error	NOUN
ejpam-6355	362	38	estimate	estimate	NOUN
ejpam-6355	362	39	is	be	AUX
ejpam-6355	362	40	given	give	VERB
ejpam-6355	362	41	by	by	ADP
ejpam-6355	362	42	:	:	PUNCT
ejpam-6355	362	43	errorest	error	ADJ
ejpam-6355	362	44	≤	≤	ADJ
ejpam-6355	363	1	ȷ(t	ȷ(t	PROPN
ejpam-6355	363	2	)	)	PUNCT
ejpam-6355	363	3	tn(t−	tn(t−	PRON
ejpam-6355	363	4	1	1	X
ejpam-6355	363	5	)	)	PUNCT
ejpam-6355	364	1	+	+	CCONJ
ejpam-6355	364	2	δ	δ	PROPN
ejpam-6355	364	3	tȷ(t	tȷ(t	PUNCT
ejpam-6355	364	4	)	)	PUNCT
ejpam-6355	364	5	t−	t−	PROPN
ejpam-6355	364	6	1	1	NUM
ejpam-6355	364	7	.	.	PUNCT
ejpam-6355	365	1	(	(	PUNCT
ejpam-6355	365	2	21	21	NUM
ejpam-6355	365	3	)	)	SYM
ejpam-6355	365	4	5	5	NUM
ejpam-6355	365	5	.	.	X
ejpam-6355	365	6	application	application	NOUN
ejpam-6355	365	7	this	this	DET
ejpam-6355	365	8	section	section	NOUN
ejpam-6355	365	9	provides	provide	VERB
ejpam-6355	365	10	the	the	DET
ejpam-6355	365	11	computational	computational	ADJ
ejpam-6355	365	12	results	result	NOUN
ejpam-6355	365	13	for	for	ADP
ejpam-6355	365	14	four	four	NUM
ejpam-6355	365	15	different	different	ADJ
ejpam-6355	365	16	problems	problem	NOUN
ejpam-6355	365	17	solved	solve	VERB
ejpam-6355	365	18	using	use	VERB
ejpam-6355	365	19	the	the	DET
ejpam-6355	365	20	proposed	propose	VERB
ejpam-6355	365	21	numerical	numerical	ADJ
ejpam-6355	365	22	schemes	scheme	NOUN
ejpam-6355	365	23	.	.	PUNCT
ejpam-6355	366	1	extensive	extensive	ADJ
ejpam-6355	366	2	research	research	NOUN
ejpam-6355	366	3	has	have	AUX
ejpam-6355	366	4	addressed	address	VERB
ejpam-6355	366	5	these	these	DET
ejpam-6355	366	6	problems	problem	NOUN
ejpam-6355	366	7	,	,	PUNCT
ejpam-6355	366	8	and	and	CCONJ
ejpam-6355	366	9	their	their	PRON
ejpam-6355	366	10	numerical	numerical	ADJ
ejpam-6355	366	11	solutions	solution	NOUN
ejpam-6355	366	12	are	be	AUX
ejpam-6355	366	13	well	well	ADV
ejpam-6355	366	14	documented	document	VERB
ejpam-6355	366	15	,	,	PUNCT
ejpam-6355	366	16	providing	provide	VERB
ejpam-6355	366	17	a	a	DET
ejpam-6355	366	18	solid	solid	ADJ
ejpam-6355	366	19	basis	basis	NOUN
ejpam-6355	366	20	for	for	ADP
ejpam-6355	366	21	comparative	comparative	ADJ
ejpam-6355	366	22	analysis	analysis	NOUN
ejpam-6355	366	23	.	.	PUNCT
ejpam-6355	367	1	to	to	PART
ejpam-6355	367	2	assess	assess	VERB
ejpam-6355	367	3	the	the	DET
ejpam-6355	367	4	accuracy	accuracy	NOUN
ejpam-6355	367	5	of	of	ADP
ejpam-6355	367	6	the	the	DET
ejpam-6355	367	7	numerical	numerical	ADJ
ejpam-6355	367	8	schemes	scheme	NOUN
ejpam-6355	367	9	,	,	PUNCT
ejpam-6355	367	10	two	two	NUM
ejpam-6355	367	11	error	error	NOUN
ejpam-6355	367	12	matrices	matrix	NOUN
ejpam-6355	367	13	are	be	AUX
ejpam-6355	367	14	used	use	VERB
ejpam-6355	367	15	:	:	PUNCT
ejpam-6355	367	16	the	the	DET
ejpam-6355	367	17	lin	lin	PROPN
ejpam-6355	367	18	and	and	CCONJ
ejpam-6355	367	19	the	the	DET
ejpam-6355	367	20	lrms	lrm	NOUN
ejpam-6355	367	21	,	,	PUNCT
ejpam-6355	367	22	defined	define	VERB
ejpam-6355	367	23	as	as	SCONJ
ejpam-6355	367	24	follows	follow	VERB
ejpam-6355	367	25	:	:	PUNCT
ejpam-6355	367	26	lin	lin	PROPN
ejpam-6355	367	27	=	=	PROPN
ejpam-6355	367	28	max	max	PROPN
ejpam-6355	367	29	1≤j≤n	1≤j≤n	NUM
ejpam-6355	367	30	|u(tj	|u(tj	PROPN
ejpam-6355	367	31	)	)	PUNCT
ejpam-6355	368	1	−	−	PROPN
ejpam-6355	368	2	un(tj))|	un(tj))|	PROPN
ejpam-6355	368	3	,	,	PUNCT
ejpam-6355	368	4	and	and	CCONJ
ejpam-6355	368	5	lrms	lrm	NOUN
ejpam-6355	368	6	=	=	SYM
ejpam-6355	368	7	√∑n	√∑n	NOUN
ejpam-6355	368	8	j=1(u(tj	j=1(u(tj	NUM
ejpam-6355	368	9	)	)	PUNCT
ejpam-6355	368	10	−	−	PROPN
ejpam-6355	368	11	un(tj))2	un(tj))2	NUM
ejpam-6355	368	12	n	n	CCONJ
ejpam-6355	368	13	,	,	PUNCT
ejpam-6355	368	14	where	where	SCONJ
ejpam-6355	368	15	u(t	u(t	NOUN
ejpam-6355	368	16	)	)	PUNCT
ejpam-6355	368	17	represent	represent	VERB
ejpam-6355	368	18	the	the	DET
ejpam-6355	368	19	exact	exact	ADJ
ejpam-6355	368	20	solution	solution	NOUN
ejpam-6355	368	21	and	and	CCONJ
ejpam-6355	368	22	un(t	un(t	PRON
ejpam-6355	368	23	)	)	PUNCT
ejpam-6355	368	24	represent	represent	VERB
ejpam-6355	368	25	the	the	DET
ejpam-6355	368	26	numerical	numerical	ADJ
ejpam-6355	368	27	solution	solution	NOUN
ejpam-6355	368	28	of	of	ADP
ejpam-6355	368	29	the	the	DET
ejpam-6355	368	30	considered	consider	VERB
ejpam-6355	368	31	problem	problem	NOUN
ejpam-6355	368	32	.	.	PUNCT
ejpam-6355	369	1	5.1	5.1	NUM
ejpam-6355	369	2	.	.	PUNCT
ejpam-6355	369	3	problem	problem	NOUN
ejpam-6355	369	4	1	1	NUM
ejpam-6355	369	5	in	in	ADP
ejpam-6355	369	6	the	the	DET
ejpam-6355	369	7	first	first	ADJ
ejpam-6355	369	8	problem	problem	NOUN
ejpam-6355	369	9	,	,	PUNCT
ejpam-6355	369	10	we	we	PRON
ejpam-6355	369	11	consider	consider	VERB
ejpam-6355	369	12	eq.(1	eq.(1	ADJ
ejpam-6355	369	13	)	)	PUNCT
ejpam-6355	369	14	,	,	PUNCT
ejpam-6355	369	15	with	with	ADP
ejpam-6355	369	16	parameters	parameter	NOUN
ejpam-6355	369	17	λ1	λ1	VERB
ejpam-6355	369	18	=	=	SYM
ejpam-6355	369	19	λ4	λ4	NOUN
ejpam-6355	369	20	=	=	NOUN
ejpam-6355	370	1	λ5	λ5	NOUN
ejpam-6355	370	2	=	=	PUNCT
ejpam-6355	370	3	λ7	λ7	PROPN
ejpam-6355	370	4	=	=	SYM
ejpam-6355	370	5	0	0	NUM
ejpam-6355	370	6	,	,	PUNCT
ejpam-6355	370	7	λ2	λ2	NOUN
ejpam-6355	370	8	=	=	SYM
ejpam-6355	371	1	λ3	λ3	PROPN
ejpam-6355	371	2	=	=	PROPN
ejpam-6355	371	3	λ6	λ6	PROPN
ejpam-6355	371	4	=	=	SYM
ejpam-6355	371	5	1	1	NUM
ejpam-6355	371	6	,	,	PUNCT
ejpam-6355	371	7	σ	σ	NOUN
ejpam-6355	371	8	=	=	SYM
ejpam-6355	371	9	1	1	NUM
ejpam-6355	371	10	,	,	PUNCT
ejpam-6355	371	11	kernel	kernel	PROPN
ejpam-6355	371	12	function	function	PROPN
ejpam-6355	371	13	k(t	k(t	PROPN
ejpam-6355	371	14	,	,	PUNCT
ejpam-6355	371	15	x	x	X
ejpam-6355	371	16	)	)	PUNCT
ejpam-6355	371	17	=	=	SYM
ejpam-6355	371	18	t−	t−	PROPN
ejpam-6355	371	19	x	x	SYM
ejpam-6355	371	20	,	,	PUNCT
ejpam-6355	371	21	and	and	CCONJ
ejpam-6355	371	22	source	source	NOUN
ejpam-6355	371	23	term	term	NOUN
ejpam-6355	371	24	f(t	f(t	NOUN
ejpam-6355	371	25	)	)	PUNCT
ejpam-6355	371	26	=	=	SYM
ejpam-6355	372	1	1	1	NUM
ejpam-6355	372	2	−	−	NOUN
ejpam-6355	372	3	t3	t3	PROPN
ejpam-6355	372	4	6	6	NUM
ejpam-6355	372	5	,	,	PUNCT
ejpam-6355	372	6	with	with	ADP
ejpam-6355	372	7	ϕ(t	ϕ(t	NUM
ejpam-6355	372	8	)	)	PUNCT
ejpam-6355	373	1	=	=	SYM
ejpam-6355	373	2	t	t	NOUN
ejpam-6355	373	3	and	and	CCONJ
ejpam-6355	373	4	exact	exact	ADJ
ejpam-6355	373	5	solution	solution	NOUN
ejpam-6355	373	6	u(t	u(t	NOUN
ejpam-6355	373	7	)	)	PUNCT
ejpam-6355	374	1	=	=	SYM
ejpam-6355	375	1	t.	t.	NOUN
ejpam-6355	375	2	the	the	DET
ejpam-6355	375	3	lin	lin	PROPN
ejpam-6355	375	4	and	and	CCONJ
ejpam-6355	375	5	lrms	lrm	NOUN
ejpam-6355	375	6	are	be	AUX
ejpam-6355	375	7	provided	provide	VERB
ejpam-6355	375	8	in	in	ADP
ejpam-6355	375	9	table	table	NOUN
ejpam-6355	375	10	1	1	NUM
ejpam-6355	375	11	,	,	PUNCT
ejpam-6355	375	12	demonstrating	demonstrate	VERB
ejpam-6355	375	13	the	the	DET
ejpam-6355	375	14	convergence	convergence	NOUN
ejpam-6355	375	15	of	of	ADP
ejpam-6355	375	16	both	both	DET
ejpam-6355	375	17	schemes	scheme	NOUN
ejpam-6355	375	18	.	.	PUNCT
ejpam-6355	376	1	it	it	PRON
ejpam-6355	376	2	is	be	AUX
ejpam-6355	376	3	observed	observe	VERB
ejpam-6355	376	4	that	that	SCONJ
ejpam-6355	376	5	wm	wm	PROPN
ejpam-6355	376	6	achieves	achieve	VERB
ejpam-6355	376	7	high	high	ADJ
ejpam-6355	376	8	accuracy	accuracy	NOUN
ejpam-6355	376	9	as	as	SCONJ
ejpam-6355	376	10	compared	compare	VERB
ejpam-6355	376	11	to	to	ADP
ejpam-6355	376	12	the	the	DET
ejpam-6355	376	13	ghq	ghq	NOUN
ejpam-6355	376	14	.	.	PUNCT
ejpam-6355	377	1	however	however	ADV
ejpam-6355	377	2	,	,	PUNCT
ejpam-6355	377	3	when	when	SCONJ
ejpam-6355	377	4	comparing	compare	VERB
ejpam-6355	377	5	computational	computational	ADJ
ejpam-6355	377	6	times	time	NOUN
ejpam-6355	377	7	,	,	PUNCT
ejpam-6355	377	8	the	the	DET
ejpam-6355	377	9	ghq	ghq	NOUN
ejpam-6355	377	10	demonstrates	demonstrate	VERB
ejpam-6355	377	11	better	well	ADJ
ejpam-6355	377	12	efficiency	efficiency	NOUN
ejpam-6355	377	13	.	.	PUNCT
ejpam-6355	378	1	the	the	DET
ejpam-6355	378	2	numerical	numerical	ADJ
ejpam-6355	378	3	results	result	NOUN
ejpam-6355	378	4	of	of	ADP
ejpam-6355	378	5	both	both	DET
ejpam-6355	378	6	methods	method	NOUN
ejpam-6355	378	7	are	be	AUX
ejpam-6355	378	8	also	also	ADV
ejpam-6355	378	9	compared	compare	VERB
ejpam-6355	378	10	with	with	ADP
ejpam-6355	378	11	the	the	DET
ejpam-6355	378	12	results	result	NOUN
ejpam-6355	378	13	from	from	ADP
ejpam-6355	378	14	[	[	X
ejpam-6355	378	15	28	28	NUM
ejpam-6355	378	16	]	]	PUNCT
ejpam-6355	378	17	and	and	CCONJ
ejpam-6355	379	1	[	[	X
ejpam-6355	379	2	29	29	NUM
ejpam-6355	379	3	]	]	PUNCT
ejpam-6355	379	4	,	,	PUNCT
ejpam-6355	379	5	showing	show	VERB
ejpam-6355	379	6	that	that	SCONJ
ejpam-6355	379	7	the	the	DET
ejpam-6355	379	8	proposed	propose	VERB
ejpam-6355	379	9	numerical	numerical	ADJ
ejpam-6355	379	10	schemes	scheme	NOUN
ejpam-6355	379	11	provide	provide	VERB
ejpam-6355	379	12	better	well	ADJ
ejpam-6355	379	13	accuracy	accuracy	NOUN
ejpam-6355	379	14	.	.	PUNCT
ejpam-6355	380	1	the	the	DET
ejpam-6355	380	2	exact	exact	ADJ
ejpam-6355	380	3	and	and	CCONJ
ejpam-6355	380	4	numerical	numerical	ADJ
ejpam-6355	380	5	solutions	solution	NOUN
ejpam-6355	380	6	for	for	ADP
ejpam-6355	380	7	this	this	DET
ejpam-6355	380	8	problem	problem	NOUN
ejpam-6355	380	9	are	be	AUX
ejpam-6355	380	10	illustrated	illustrate	VERB
ejpam-6355	380	11	in	in	ADP
ejpam-6355	380	12	fig	fig	NOUN
ejpam-6355	380	13	.	.	PUNCT
ejpam-6355	381	1	1a	1a	NOUN
ejpam-6355	381	2	,	,	PUNCT
ejpam-6355	381	3	while	while	SCONJ
ejpam-6355	381	4	the	the	DET
ejpam-6355	381	5	kamran	kamran	PROPN
ejpam-6355	381	6	et	et	PROPN
ejpam-6355	381	7	al	al	PROPN
ejpam-6355	381	8	.	.	PUNCT
ejpam-6355	381	9	/	/	SYM
ejpam-6355	381	10	eur	eur	PROPN
ejpam-6355	381	11	.	.	PUNCT
ejpam-6355	382	1	j.	j.	PROPN
ejpam-6355	382	2	pure	pure	PROPN
ejpam-6355	382	3	appl	appl	PROPN
ejpam-6355	382	4	.	.	PROPN
ejpam-6355	382	5	math	math	PROPN
ejpam-6355	382	6	,	,	PUNCT
ejpam-6355	382	7	18	18	NUM
ejpam-6355	382	8	(	(	PUNCT
ejpam-6355	382	9	3	3	NUM
ejpam-6355	382	10	)	)	PUNCT
ejpam-6355	382	11	(	(	PUNCT
ejpam-6355	382	12	2025	2025	NUM
ejpam-6355	382	13	)	)	PUNCT
ejpam-6355	382	14	,	,	PUNCT
ejpam-6355	382	15	6355	6355	NUM
ejpam-6355	382	16	15	15	NUM
ejpam-6355	382	17	of	of	ADP
ejpam-6355	382	18	22	22	NUM
ejpam-6355	382	19	comparison	comparison	NOUN
ejpam-6355	382	20	of	of	ADP
ejpam-6355	382	21	lin	lin	PROPN
ejpam-6355	382	22	and	and	CCONJ
ejpam-6355	382	23	lrms	lrm	NOUN
ejpam-6355	382	24	for	for	ADP
ejpam-6355	382	25	the	the	DET
ejpam-6355	382	26	two	two	NUM
ejpam-6355	382	27	numerical	numerical	ADJ
ejpam-6355	382	28	schemes	scheme	NOUN
ejpam-6355	382	29	is	be	AUX
ejpam-6355	382	30	shown	show	VERB
ejpam-6355	382	31	in	in	ADP
ejpam-6355	382	32	fig	fig	NOUN
ejpam-6355	382	33	.	.	PUNCT
ejpam-6355	383	1	1b	1b	NUM
ejpam-6355	383	2	.	.	PUNCT
ejpam-6355	384	1	these	these	DET
ejpam-6355	384	2	comparisons	comparison	NOUN
ejpam-6355	384	3	clearly	clearly	ADV
ejpam-6355	384	4	indicate	indicate	VERB
ejpam-6355	384	5	that	that	SCONJ
ejpam-6355	384	6	the	the	DET
ejpam-6355	384	7	wm	wm	PROPN
ejpam-6355	384	8	method	method	NOUN
ejpam-6355	384	9	outperforms	outperform	VERB
ejpam-6355	384	10	the	the	DET
ejpam-6355	384	11	ghq	ghq	NOUN
ejpam-6355	384	12	in	in	ADP
ejpam-6355	384	13	terms	term	NOUN
ejpam-6355	384	14	of	of	ADP
ejpam-6355	384	15	accuracy	accuracy	NOUN
ejpam-6355	384	16	.	.	PUNCT
ejpam-6355	385	1	table	table	NOUN
ejpam-6355	385	2	1	1	NUM
ejpam-6355	385	3	:	:	PUNCT
ejpam-6355	385	4	the	the	DET
ejpam-6355	385	5	lin	lin	PROPN
ejpam-6355	385	6	and	and	CCONJ
ejpam-6355	385	7	lrms	lrm	NOUN
ejpam-6355	385	8	corresponding	correspond	VERB
ejpam-6355	385	9	to	to	PART
ejpam-6355	385	10	problem	problem	NOUN
ejpam-6355	385	11	1	1	NUM
ejpam-6355	385	12	using	use	VERB
ejpam-6355	385	13	ghm	ghm	PROPN
ejpam-6355	385	14	and	and	CCONJ
ejpam-6355	385	15	wm	wm	VERB
ejpam-6355	385	16	1.3	1.3	NUM
ejpam-6355	385	17	ghm	ghm	PROPN
ejpam-6355	385	18	wm	wm	PROPN
ejpam-6355	385	19	t	t	PROPN
ejpam-6355	385	20	lin	lin	PROPN
ejpam-6355	385	21	lrms	lrms	PROPN
ejpam-6355	385	22	lin	lin	PROPN
ejpam-6355	385	23	lrms	lrm	VERB
ejpam-6355	385	24	0.1	0.1	NUM
ejpam-6355	385	25	3.61×10−14	3.61×10−14	NUM
ejpam-6355	385	26	8.08×10−15	8.08×10−15	NOUN
ejpam-6355	385	27	2.78×10−17	2.78×10−17	NUM
ejpam-6355	385	28	3.93×10−18	3.93×10−18	NUM
ejpam-6355	386	1	0.2	0.2	NUM
ejpam-6355	386	2	7.21×10−14	7.21×10−14	NUM
ejpam-6355	386	3	1.61×10−14	1.61×10−14	NUM
ejpam-6355	386	4	8.33×10−17	8.33×10−17	NOUN
ejpam-6355	386	5	9.21×10−18	9.21×10−18	NUM
ejpam-6355	386	6	0.3	0.3	NUM
ejpam-6355	386	7	1.09×10−13	1.09×10−13	NUM
ejpam-6355	386	8	2.45×10−14	2.45×10−14	NUM
ejpam-6355	386	9	1.11×10−16	1.11×10−16	NUM
ejpam-6355	386	10	1.44×10−17	1.44×10−17	NUM
ejpam-6355	386	11	0.4	0.4	NUM
ejpam-6355	386	12	1.44×10−13	1.44×10−13	NUM
ejpam-6355	386	13	3.22×10−14	3.22×10−14	NUM
ejpam-6355	386	14	1.11×10−16	1.11×10−16	NUM
ejpam-6355	386	15	1.82×10−17	1.82×10−17	NUM
ejpam-6355	386	16	0.5	0.5	NUM
ejpam-6355	386	17	1.82×10−13	1.82×10−13	NUM
ejpam-6355	386	18	4.06×10−14	4.06×10−14	NUM
ejpam-6355	386	19	1.11×10−16	1.11×10−16	NUM
ejpam-6355	386	20	1.90×10−17	1.90×10−17	NUM
ejpam-6355	386	21	0.6	0.6	NUM
ejpam-6355	386	22	2.16×10−13	2.16×10−13	NUM
ejpam-6355	386	23	4.83×10−14	4.83×10−14	NOUN
ejpam-6355	386	24	1.11×10−16	1.11×10−16	NUM
ejpam-6355	386	25	2.20×10−17	2.20×10−17	NOUN
ejpam-6355	386	26	0.7	0.7	NUM
ejpam-6355	386	27	2.56×10−13	2.56×10−13	NUM
ejpam-6355	386	28	5.72×10−14	5.72×10−14	NUM
ejpam-6355	387	1	2.22×10−16	2.22×10−16	NUM
ejpam-6355	387	2	3.13×10−17	3.13×10−17	NUM
ejpam-6355	387	3	0.8	0.8	NUM
ejpam-6355	387	4	2.89×10−13	2.89×10−13	NUM
ejpam-6355	387	5	6.46×10−14	6.46×10−14	NUM
ejpam-6355	387	6	2.22×10−16	2.22×10−16	NUM
ejpam-6355	387	7	3.84×10−17	3.84×10−17	NUM
ejpam-6355	387	8	0.9	0.9	NUM
ejpam-6355	387	9	3.27×10−13	3.27×10−13	NOUN
ejpam-6355	387	10	7.31×10−14	7.31×10−14	NUM
ejpam-6355	387	11	2.22×10−16	2.22×10−16	NUM
ejpam-6355	387	12	3.99×10−17	3.99×10−17	NUM
ejpam-6355	387	13	1	1	NUM
ejpam-6355	387	14	3.62×10−13	3.62×10−13	NUM
ejpam-6355	387	15	8.10×10−14	8.10×10−14	NUM
ejpam-6355	387	16	6.66×10−16	6.66×10−16	NUM
ejpam-6355	387	17	7.77×10−17	7.77×10−17	NOUN
ejpam-6355	387	18	cpu(s	cpu(	NOUN
ejpam-6355	387	19	)	)	PUNCT
ejpam-6355	387	20	0.001242	0.001242	NUM
ejpam-6355	387	21	1.121635	1.121635	NUM
ejpam-6355	388	1	[	[	X
ejpam-6355	388	2	28	28	NUM
ejpam-6355	388	3	]	]	SYM
ejpam-6355	388	4	1.88×10−8	1.88×10−8	NUM
ejpam-6355	388	5	1.571	1.571	NUM
ejpam-6355	389	1	[	[	X
ejpam-6355	389	2	29	29	NUM
ejpam-6355	389	3	]	]	SYM
ejpam-6355	389	4	9.28×10−8	9.28×10−8	NUM
ejpam-6355	389	5	—	—	SYM
ejpam-6355	389	6	0	0	NUM
ejpam-6355	389	7	0.1	0.1	NUM
ejpam-6355	389	8	0.2	0.2	NUM
ejpam-6355	389	9	0.3	0.3	NUM
ejpam-6355	389	10	0.4	0.4	NUM
ejpam-6355	389	11	0.5	0.5	NUM
ejpam-6355	389	12	0.6	0.6	NUM
ejpam-6355	389	13	0.7	0.7	NUM
ejpam-6355	389	14	0.8	0.8	NUM
ejpam-6355	389	15	0.9	0.9	NUM
ejpam-6355	389	16	1	1	NUM
ejpam-6355	389	17	0	0	NUM
ejpam-6355	389	18	0.1	0.1	NUM
ejpam-6355	389	19	0.2	0.2	NUM
ejpam-6355	389	20	0.3	0.3	NUM
ejpam-6355	389	21	0.4	0.4	NUM
ejpam-6355	389	22	0.5	0.5	NUM
ejpam-6355	389	23	0.6	0.6	NUM
ejpam-6355	389	24	0.7	0.7	NUM
ejpam-6355	389	25	0.8	0.8	NUM
ejpam-6355	389	26	0.9	0.9	NUM
ejpam-6355	389	27	1	1	NUM
ejpam-6355	389	28	exactsol	exactsol	NOUN
ejpam-6355	389	29	numericsol	numericsol	NOUN
ejpam-6355	389	30	(	(	PUNCT
ejpam-6355	389	31	a	a	X
ejpam-6355	389	32	)	)	PUNCT
ejpam-6355	389	33	0	0	NUM
ejpam-6355	389	34	0.2	0.2	NUM
ejpam-6355	389	35	0.4	0.4	NUM
ejpam-6355	389	36	0.6	0.6	NUM
ejpam-6355	389	37	0.8	0.8	NUM
ejpam-6355	389	38	1	1	NUM
ejpam-6355	389	39	10	10	NUM
ejpam-6355	389	40	-	-	SYM
ejpam-6355	389	41	18	18	NUM
ejpam-6355	389	42	10	10	NUM
ejpam-6355	389	43	-	-	SYM
ejpam-6355	389	44	17	17	NUM
ejpam-6355	389	45	10	10	NUM
ejpam-6355	389	46	-	-	SYM
ejpam-6355	389	47	16	16	NUM
ejpam-6355	389	48	10	10	NUM
ejpam-6355	389	49	-	-	SYM
ejpam-6355	389	50	15	15	NUM
ejpam-6355	389	51	10	10	NUM
ejpam-6355	389	52	-	-	SYM
ejpam-6355	389	53	14	14	NUM
ejpam-6355	389	54	10	10	NUM
ejpam-6355	389	55	-	-	SYM
ejpam-6355	389	56	13	13	NUM
ejpam-6355	389	57	10	10	NUM
ejpam-6355	389	58	-	-	SYM
ejpam-6355	389	59	12	12	NUM
ejpam-6355	389	60	l	l	NOUN
ejpam-6355	389	61	in	in	ADP
ejpam-6355	389	62	(	(	PUNCT
ejpam-6355	389	63	ghm	ghm	NOUN
ejpam-6355	389	64	)	)	PUNCT
ejpam-6355	389	65	l	l	NOUN
ejpam-6355	389	66	in	in	ADP
ejpam-6355	389	67	(	(	PUNCT
ejpam-6355	389	68	wm	wm	PROPN
ejpam-6355	389	69	)	)	PUNCT
ejpam-6355	389	70	l	l	NOUN
ejpam-6355	389	71	rms	rm	NOUN
ejpam-6355	389	72	(	(	PUNCT
ejpam-6355	389	73	ghm	ghm	NOUN
ejpam-6355	389	74	)	)	PUNCT
ejpam-6355	389	75	l	l	NOUN
ejpam-6355	389	76	rms	rm	NOUN
ejpam-6355	389	77	(	(	PUNCT
ejpam-6355	389	78	wm	wm	PROPN
ejpam-6355	389	79	)	)	PUNCT
ejpam-6355	389	80	(	(	PUNCT
ejpam-6355	389	81	b	b	X
ejpam-6355	389	82	)	)	PUNCT
ejpam-6355	389	83	figure	figure	NOUN
ejpam-6355	389	84	1	1	NUM
ejpam-6355	389	85	:	:	PUNCT
ejpam-6355	389	86	(	(	PUNCT
ejpam-6355	389	87	a	a	X
ejpam-6355	389	88	)	)	PUNCT
ejpam-6355	389	89	comparison	comparison	NOUN
ejpam-6355	389	90	of	of	ADP
ejpam-6355	389	91	approximate	approximate	ADJ
ejpam-6355	389	92	and	and	CCONJ
ejpam-6355	389	93	exact	exact	ADJ
ejpam-6355	389	94	solutions	solution	NOUN
ejpam-6355	389	95	for	for	ADP
ejpam-6355	389	96	problem	problem	NOUN
ejpam-6355	389	97	1	1	NUM
ejpam-6355	389	98	.	.	PUNCT
ejpam-6355	389	99	(	(	PUNCT
ejpam-6355	389	100	b	b	X
ejpam-6355	389	101	)	)	PUNCT
ejpam-6355	389	102	the	the	DET
ejpam-6355	389	103	variation	variation	NOUN
ejpam-6355	389	104	of	of	ADP
ejpam-6355	389	105	error	error	NOUN
ejpam-6355	389	106	norms	norm	NOUN
ejpam-6355	389	107	vs	vs	ADP
ejpam-6355	389	108	t	t	NOUN
ejpam-6355	389	109	for	for	ADP
ejpam-6355	389	110	problem	problem	NOUN
ejpam-6355	389	111	1	1	NUM
ejpam-6355	389	112	.	.	PUNCT
ejpam-6355	390	1	kamran	kamran	PROPN
ejpam-6355	390	2	et	et	PROPN
ejpam-6355	390	3	al	al	PROPN
ejpam-6355	390	4	.	.	PUNCT
ejpam-6355	390	5	/	/	SYM
ejpam-6355	390	6	eur	eur	PROPN
ejpam-6355	390	7	.	.	PUNCT
ejpam-6355	391	1	j.	j.	PROPN
ejpam-6355	391	2	pure	pure	PROPN
ejpam-6355	391	3	appl	appl	PROPN
ejpam-6355	391	4	.	.	PROPN
ejpam-6355	391	5	math	math	PROPN
ejpam-6355	391	6	,	,	PUNCT
ejpam-6355	391	7	18	18	NUM
ejpam-6355	391	8	(	(	PUNCT
ejpam-6355	391	9	3	3	NUM
ejpam-6355	391	10	)	)	PUNCT
ejpam-6355	391	11	(	(	PUNCT
ejpam-6355	391	12	2025	2025	NUM
ejpam-6355	391	13	)	)	PUNCT
ejpam-6355	391	14	,	,	PUNCT
ejpam-6355	391	15	6355	6355	NUM
ejpam-6355	391	16	16	16	NUM
ejpam-6355	391	17	of	of	ADP
ejpam-6355	391	18	22	22	NUM
ejpam-6355	391	19	5.2	5.2	NUM
ejpam-6355	391	20	.	.	PUNCT
ejpam-6355	392	1	problem	problem	NOUN
ejpam-6355	392	2	2	2	NUM
ejpam-6355	392	3	in	in	ADP
ejpam-6355	392	4	the	the	DET
ejpam-6355	392	5	second	second	ADJ
ejpam-6355	392	6	problem	problem	NOUN
ejpam-6355	392	7	,	,	PUNCT
ejpam-6355	392	8	we	we	PRON
ejpam-6355	392	9	consider	consider	VERB
ejpam-6355	392	10	eq.(1	eq.(1	ADJ
ejpam-6355	392	11	)	)	PUNCT
ejpam-6355	392	12	,	,	PUNCT
ejpam-6355	392	13	with	with	ADP
ejpam-6355	392	14	parameters	parameter	NOUN
ejpam-6355	392	15	λ2	λ2	NOUN
ejpam-6355	392	16	=	=	SYM
ejpam-6355	392	17	λ5	λ5	NOUN
ejpam-6355	392	18	=	=	SYM
ejpam-6355	392	19	λ6	λ6	NOUN
ejpam-6355	392	20	=	=	SYM
ejpam-6355	392	21	0	0	NUM
ejpam-6355	392	22	,	,	PUNCT
ejpam-6355	392	23	λ1	λ1	PROPN
ejpam-6355	392	24	=	=	SYM
ejpam-6355	392	25	λ3	λ3	PROPN
ejpam-6355	392	26	=	=	NOUN
ejpam-6355	392	27	λ4	λ4	PROPN
ejpam-6355	393	1	=	=	SYM
ejpam-6355	393	2	λ7	λ7	PROPN
ejpam-6355	393	3	=	=	SYM
ejpam-6355	393	4	1	1	NUM
ejpam-6355	393	5	,	,	PUNCT
ejpam-6355	393	6	σ	σ	NOUN
ejpam-6355	393	7	=	=	SYM
ejpam-6355	393	8	1	1	NUM
ejpam-6355	393	9	,	,	PUNCT
ejpam-6355	393	10	the	the	DET
ejpam-6355	393	11	kernel	kernel	NOUN
ejpam-6355	393	12	function	function	PROPN
ejpam-6355	393	13	k(t	k(t	PROPN
ejpam-6355	393	14	,	,	PUNCT
ejpam-6355	393	15	x	x	X
ejpam-6355	393	16	)	)	PUNCT
ejpam-6355	393	17	=	=	SYM
ejpam-6355	393	18	1	1	NUM
ejpam-6355	393	19	,	,	PUNCT
ejpam-6355	393	20	ϕ(t	ϕ(t	NUM
ejpam-6355	393	21	)	)	PUNCT
ejpam-6355	394	1	=	=	SYM
ejpam-6355	394	2	et	et	NOUN
ejpam-6355	394	3	,	,	PUNCT
ejpam-6355	394	4	and	and	CCONJ
ejpam-6355	394	5	the	the	DET
ejpam-6355	394	6	source	source	NOUN
ejpam-6355	394	7	term	term	NOUN
ejpam-6355	394	8	f(t	f(t	NOUN
ejpam-6355	394	9	)	)	PUNCT
ejpam-6355	395	1	=	=	PUNCT
ejpam-6355	395	2	e−1(1	e−1(1	VERB
ejpam-6355	395	3	−	−	PROPN
ejpam-6355	395	4	et	et	NOUN
ejpam-6355	395	5	)	)	PUNCT
ejpam-6355	395	6	.	.	PUNCT
ejpam-6355	396	1	the	the	DET
ejpam-6355	396	2	exact	exact	ADJ
ejpam-6355	396	3	solution	solution	NOUN
ejpam-6355	396	4	for	for	ADP
ejpam-6355	396	5	this	this	DET
ejpam-6355	396	6	problem	problem	NOUN
ejpam-6355	396	7	is	be	AUX
ejpam-6355	396	8	u(t	u(t	NOUN
ejpam-6355	396	9	)	)	PUNCT
ejpam-6355	396	10	=	=	SYM
ejpam-6355	396	11	et	et	NOUN
ejpam-6355	396	12	.	.	PUNCT
ejpam-6355	397	1	the	the	DET
ejpam-6355	397	2	problem	problem	NOUN
ejpam-6355	397	3	is	be	AUX
ejpam-6355	397	4	solved	solve	VERB
ejpam-6355	397	5	using	use	VERB
ejpam-6355	397	6	the	the	DET
ejpam-6355	397	7	two	two	NUM
ejpam-6355	397	8	numerical	numerical	ADJ
ejpam-6355	397	9	schemes	scheme	NOUN
ejpam-6355	397	10	,	,	PUNCT
ejpam-6355	397	11	the	the	DET
ejpam-6355	397	12	ghq	ghq	NOUN
ejpam-6355	397	13	and	and	CCONJ
ejpam-6355	397	14	wm	wm	PROPN
ejpam-6355	397	15	.	.	PUNCT
ejpam-6355	398	1	the	the	DET
ejpam-6355	398	2	lin	lin	PROPN
ejpam-6355	398	3	and	and	CCONJ
ejpam-6355	398	4	lrms	lrm	NOUN
ejpam-6355	398	5	for	for	ADP
ejpam-6355	398	6	both	both	DET
ejpam-6355	398	7	methods	method	NOUN
ejpam-6355	398	8	are	be	AUX
ejpam-6355	398	9	presented	present	VERB
ejpam-6355	398	10	in	in	ADP
ejpam-6355	398	11	table	table	NOUN
ejpam-6355	398	12	2	2	NUM
ejpam-6355	398	13	,	,	PUNCT
ejpam-6355	398	14	highlighting	highlight	VERB
ejpam-6355	398	15	their	their	PRON
ejpam-6355	398	16	convergence	convergence	NOUN
ejpam-6355	398	17	.	.	PUNCT
ejpam-6355	399	1	it	it	PRON
ejpam-6355	399	2	is	be	AUX
ejpam-6355	399	3	observed	observe	VERB
ejpam-6355	399	4	that	that	SCONJ
ejpam-6355	399	5	wm	wm	PROPN
ejpam-6355	399	6	provides	provide	VERB
ejpam-6355	399	7	high	high	ADJ
ejpam-6355	399	8	accuracy	accuracy	NOUN
ejpam-6355	399	9	compared	compare	VERB
ejpam-6355	399	10	to	to	ADP
ejpam-6355	399	11	the	the	DET
ejpam-6355	399	12	ghq	ghq	NOUN
ejpam-6355	399	13	.	.	PUNCT
ejpam-6355	400	1	however	however	ADV
ejpam-6355	400	2	,	,	PUNCT
ejpam-6355	400	3	in	in	ADP
ejpam-6355	400	4	terms	term	NOUN
ejpam-6355	400	5	of	of	ADP
ejpam-6355	400	6	computational	computational	ADJ
ejpam-6355	400	7	efficiency	efficiency	NOUN
ejpam-6355	400	8	,	,	PUNCT
ejpam-6355	400	9	the	the	DET
ejpam-6355	400	10	ghq	ghq	NOUN
ejpam-6355	400	11	demonstrates	demonstrate	VERB
ejpam-6355	400	12	better	well	ADJ
ejpam-6355	400	13	performance	performance	NOUN
ejpam-6355	400	14	.	.	PUNCT
ejpam-6355	401	1	additionally	additionally	ADV
ejpam-6355	401	2	,	,	PUNCT
ejpam-6355	401	3	the	the	DET
ejpam-6355	401	4	numerical	numerical	ADJ
ejpam-6355	401	5	results	result	NOUN
ejpam-6355	401	6	of	of	ADP
ejpam-6355	401	7	both	both	DET
ejpam-6355	401	8	methods	method	NOUN
ejpam-6355	401	9	are	be	AUX
ejpam-6355	401	10	compared	compare	VERB
ejpam-6355	401	11	with	with	ADP
ejpam-6355	401	12	those	those	PRON
ejpam-6355	401	13	reported	report	VERB
ejpam-6355	401	14	in	in	ADP
ejpam-6355	401	15	[	[	X
ejpam-6355	401	16	30	30	NUM
ejpam-6355	401	17	]	]	PUNCT
ejpam-6355	401	18	,	,	PUNCT
ejpam-6355	401	19	showing	show	VERB
ejpam-6355	401	20	that	that	SCONJ
ejpam-6355	401	21	the	the	DET
ejpam-6355	401	22	proposed	propose	VERB
ejpam-6355	401	23	numerical	numerical	ADJ
ejpam-6355	401	24	schemes	scheme	NOUN
ejpam-6355	401	25	yield	yield	VERB
ejpam-6355	401	26	superior	superior	ADJ
ejpam-6355	401	27	accuracy	accuracy	NOUN
ejpam-6355	401	28	.	.	PUNCT
ejpam-6355	402	1	the	the	DET
ejpam-6355	402	2	exact	exact	ADJ
ejpam-6355	402	3	and	and	CCONJ
ejpam-6355	402	4	numerical	numerical	ADJ
ejpam-6355	402	5	solution	solution	NOUN
ejpam-6355	402	6	for	for	ADP
ejpam-6355	402	7	this	this	DET
ejpam-6355	402	8	problem	problem	NOUN
ejpam-6355	402	9	is	be	AUX
ejpam-6355	402	10	illustrated	illustrate	VERB
ejpam-6355	402	11	in	in	ADP
ejpam-6355	402	12	fig	fig	NOUN
ejpam-6355	402	13	.	.	PUNCT
ejpam-6355	403	1	2a	2a	NUM
ejpam-6355	403	2	,	,	PUNCT
ejpam-6355	403	3	while	while	SCONJ
ejpam-6355	403	4	the	the	DET
ejpam-6355	403	5	comparison	comparison	NOUN
ejpam-6355	403	6	of	of	ADP
ejpam-6355	403	7	lin	lin	PROPN
ejpam-6355	403	8	and	and	CCONJ
ejpam-6355	403	9	lrms	lrm	NOUN
ejpam-6355	403	10	for	for	ADP
ejpam-6355	403	11	the	the	DET
ejpam-6355	403	12	two	two	NUM
ejpam-6355	403	13	inversion	inversion	NOUN
ejpam-6355	403	14	schemes	scheme	NOUN
ejpam-6355	403	15	is	be	AUX
ejpam-6355	403	16	shown	show	VERB
ejpam-6355	403	17	in	in	ADP
ejpam-6355	403	18	fig	fig	NOUN
ejpam-6355	403	19	.	.	PUNCT
ejpam-6355	404	1	2b	2b	NOUN
ejpam-6355	404	2	.	.	PUNCT
ejpam-6355	405	1	these	these	DET
ejpam-6355	405	2	results	result	NOUN
ejpam-6355	405	3	clearly	clearly	ADV
ejpam-6355	405	4	indicate	indicate	VERB
ejpam-6355	405	5	that	that	SCONJ
ejpam-6355	405	6	the	the	DET
ejpam-6355	405	7	wm	wm	PROPN
ejpam-6355	405	8	outperforms	outperform	VERB
ejpam-6355	405	9	the	the	DET
ejpam-6355	405	10	ghq	ghq	NOUN
ejpam-6355	405	11	in	in	ADP
ejpam-6355	405	12	terms	term	NOUN
ejpam-6355	405	13	of	of	ADP
ejpam-6355	405	14	accuracy	accuracy	NOUN
ejpam-6355	405	15	.	.	PUNCT
ejpam-6355	406	1	table	table	NOUN
ejpam-6355	406	2	2	2	NUM
ejpam-6355	406	3	:	:	PUNCT
ejpam-6355	406	4	the	the	DET
ejpam-6355	406	5	lin	lin	PROPN
ejpam-6355	406	6	and	and	CCONJ
ejpam-6355	406	7	lrms	lrm	NOUN
ejpam-6355	406	8	corresponding	correspond	VERB
ejpam-6355	406	9	to	to	PART
ejpam-6355	406	10	problem	problem	NOUN
ejpam-6355	406	11	2	2	NUM
ejpam-6355	406	12	using	use	VERB
ejpam-6355	406	13	the	the	DET
ejpam-6355	406	14	ghm	ghm	PROPN
ejpam-6355	406	15	and	and	CCONJ
ejpam-6355	406	16	wm	wm	PROPN
ejpam-6355	406	17	.	.	PROPN
ejpam-6355	407	1	1.3	1.3	NUM
ejpam-6355	407	2	ghm	ghm	PROPN
ejpam-6355	407	3	wm	wm	PROPN
ejpam-6355	407	4	t	t	PROPN
ejpam-6355	407	5	lin	lin	PROPN
ejpam-6355	407	6	lrms	lrms	PROPN
ejpam-6355	407	7	lin	lin	PROPN
ejpam-6355	407	8	lrms	lrms	PROPN
ejpam-6355	407	9	[	[	X
ejpam-6355	407	10	30	30	NUM
ejpam-6355	407	11	]	]	SYM
ejpam-6355	407	12	0.1	0.1	NUM
ejpam-6355	407	13	1.95×10−13	1.95×10−13	NUM
ejpam-6355	407	14	4.35×10−14	4.35×10−14	NUM
ejpam-6355	408	1	2.22×10−16	2.22×10−16	NUM
ejpam-6355	408	2	2.22×10−17	2.22×10−17	NUM
ejpam-6355	409	1	1.98×10−5	1.98×10−5	NUM
ejpam-6355	409	2	0.2	0.2	NUM
ejpam-6355	409	3	1.49×10−12	1.49×10−12	NUM
ejpam-6355	409	4	3.33×10−13	3.33×10−13	NUM
ejpam-6355	409	5	2.22×10−16	2.22×10−16	NUM
ejpam-6355	409	6	3.14×10−17	3.14×10−17	NUM
ejpam-6355	409	7	2.15×10−5	2.15×10−5	NUM
ejpam-6355	409	8	0.3	0.3	NUM
ejpam-6355	409	9	7.15×10−12	7.15×10−12	NUM
ejpam-6355	409	10	1.60×10−12	1.60×10−12	NUM
ejpam-6355	409	11	2.22×10−16	2.22×10−16	NUM
ejpam-6355	409	12	3.14×10−17	3.14×10−17	NUM
ejpam-6355	410	1	2.34×10−5	2.34×10−5	NUM
ejpam-6355	410	2	0.4	0.4	NUM
ejpam-6355	410	3	2.71×10−11	2.71×10−11	NUM
ejpam-6355	410	4	6.06×10−12	6.06×10−12	NOUN
ejpam-6355	410	5	4.44×10−16	4.44×10−16	NUM
ejpam-6355	410	6	5.44×10−17	5.44×10−17	NUM
ejpam-6355	410	7	2.56×10−5	2.56×10−5	NUM
ejpam-6355	410	8	0.5	0.5	NUM
ejpam-6355	410	9	8.85×10−11	8.85×10−11	NUM
ejpam-6355	410	10	1.98×10−11	1.98×10−11	NUM
ejpam-6355	410	11	4.44×10−16	4.44×10−16	NUM
ejpam-6355	410	12	5.87×10−17	5.87×10−17	NUM
ejpam-6355	410	13	2.81×10−5	2.81×10−5	NUM
ejpam-6355	410	14	0.6	0.6	NUM
ejpam-6355	410	15	2.59×10−10	2.59×10−10	NUM
ejpam-6355	410	16	5.80×10−11	5.80×10−11	NUM
ejpam-6355	410	17	4.44×10−16	4.44×10−16	NUM
ejpam-6355	410	18	5.87×10−17	5.87×10−17	NUM
ejpam-6355	411	1	3.08×10−5	3.08×10−5	NUM
ejpam-6355	411	2	0.7	0.7	NUM
ejpam-6355	411	3	7.01×10−10	7.01×10−10	NUM
ejpam-6355	411	4	1.57×10−10	1.57×10−10	NUM
ejpam-6355	411	5	4.44×10−16	4.44×10−16	NUM
ejpam-6355	412	1	5.87×10−17	5.87×10−17	NUM
ejpam-6355	413	1	3.40×10−5	3.40×10−5	NUM
ejpam-6355	413	2	0.8	0.8	NUM
ejpam-6355	413	3	1.78×10−09	1.78×10−09	NUM
ejpam-6355	413	4	3.98×10−10	3.98×10−10	NUM
ejpam-6355	413	5	8.88×10−16	8.88×10−16	NUM
ejpam-6355	413	6	1.06×10−16	1.06×10−16	NUM
ejpam-6355	413	7	3.75×10−5	3.75×10−5	NUM
ejpam-6355	413	8	0.9	0.9	NUM
ejpam-6355	413	9	4.28×10−09	4.28×10−09	NUM
ejpam-6355	413	10	9.57×10−10	9.57×10−10	NUM
ejpam-6355	413	11	8.88×10−16	8.88×10−16	NUM
ejpam-6355	413	12	1.39×10−16	1.39×10−16	NUM
ejpam-6355	413	13	4.16×10−5	4.16×10−5	NUM
ejpam-6355	413	14	1	1	NUM
ejpam-6355	413	15	9.86×10−09	9.86×10−09	NOUN
ejpam-6355	413	16	2.20×10−09	2.20×10−09	NOUN
ejpam-6355	413	17	8.88×10−16	8.88×10−16	NUM
ejpam-6355	413	18	1.65×10−16	1.65×10−16	NUM
ejpam-6355	413	19	4.61×10−5	4.61×10−5	NUM
ejpam-6355	413	20	cpu(s	cpu(	NOUN
ejpam-6355	413	21	)	)	PUNCT
ejpam-6355	413	22	0.167872	0.167872	NUM
ejpam-6355	413	23	1.181213	1.181213	NUM
ejpam-6355	413	24	0.0523884	0.0523884	NUM
ejpam-6355	413	25	kamran	kamran	PROPN
ejpam-6355	413	26	et	et	PROPN
ejpam-6355	413	27	al	al	PROPN
ejpam-6355	413	28	.	.	PUNCT
ejpam-6355	413	29	/	/	SYM
ejpam-6355	413	30	eur	eur	PROPN
ejpam-6355	413	31	.	.	PUNCT
ejpam-6355	414	1	j.	j.	PROPN
ejpam-6355	414	2	pure	pure	PROPN
ejpam-6355	414	3	appl	appl	PROPN
ejpam-6355	414	4	.	.	PROPN
ejpam-6355	414	5	math	math	PROPN
ejpam-6355	414	6	,	,	PUNCT
ejpam-6355	414	7	18	18	NUM
ejpam-6355	414	8	(	(	PUNCT
ejpam-6355	414	9	3	3	NUM
ejpam-6355	414	10	)	)	PUNCT
ejpam-6355	414	11	(	(	PUNCT
ejpam-6355	414	12	2025	2025	NUM
ejpam-6355	414	13	)	)	PUNCT
ejpam-6355	414	14	,	,	PUNCT
ejpam-6355	414	15	6355	6355	NUM
ejpam-6355	414	16	17	17	NUM
ejpam-6355	414	17	of	of	ADP
ejpam-6355	414	18	22	22	NUM
ejpam-6355	414	19	0	0	NUM
ejpam-6355	414	20	0.1	0.1	NUM
ejpam-6355	414	21	0.2	0.2	NUM
ejpam-6355	414	22	0.3	0.3	NUM
ejpam-6355	414	23	0.4	0.4	NUM
ejpam-6355	414	24	0.5	0.5	NUM
ejpam-6355	414	25	0.6	0.6	NUM
ejpam-6355	414	26	0.7	0.7	NUM
ejpam-6355	414	27	0.8	0.8	NUM
ejpam-6355	414	28	0.9	0.9	NUM
ejpam-6355	414	29	1	1	NUM
ejpam-6355	414	30	1	1	NUM
ejpam-6355	414	31	1.2	1.2	NUM
ejpam-6355	414	32	1.4	1.4	NUM
ejpam-6355	414	33	1.6	1.6	NUM
ejpam-6355	414	34	1.8	1.8	NUM
ejpam-6355	414	35	2	2	NUM
ejpam-6355	414	36	2.2	2.2	NUM
ejpam-6355	414	37	2.4	2.4	NUM
ejpam-6355	414	38	2.6	2.6	NUM
ejpam-6355	414	39	2.8	2.8	NUM
ejpam-6355	414	40	exactsol	exactsol	NOUN
ejpam-6355	414	41	numericsol	numericsol	NOUN
ejpam-6355	414	42	(	(	PUNCT
ejpam-6355	414	43	a	a	X
ejpam-6355	414	44	)	)	PUNCT
ejpam-6355	414	45	0	0	NUM
ejpam-6355	414	46	0.2	0.2	NUM
ejpam-6355	414	47	0.4	0.4	NUM
ejpam-6355	414	48	0.6	0.6	NUM
ejpam-6355	414	49	0.8	0.8	NUM
ejpam-6355	414	50	1	1	NUM
ejpam-6355	414	51	10	10	NUM
ejpam-6355	414	52	-	-	SYM
ejpam-6355	414	53	18	18	NUM
ejpam-6355	414	54	10	10	NUM
ejpam-6355	414	55	-	-	SYM
ejpam-6355	414	56	16	16	NUM
ejpam-6355	414	57	10	10	NUM
ejpam-6355	414	58	-	-	SYM
ejpam-6355	414	59	14	14	NUM
ejpam-6355	414	60	10	10	NUM
ejpam-6355	414	61	-	-	SYM
ejpam-6355	414	62	12	12	NUM
ejpam-6355	414	63	10	10	NUM
ejpam-6355	414	64	-	-	SYM
ejpam-6355	414	65	10	10	NUM
ejpam-6355	414	66	10	10	NUM
ejpam-6355	414	67	-	-	SYM
ejpam-6355	414	68	8	8	NUM
ejpam-6355	414	69	l	l	NOUN
ejpam-6355	414	70	in	in	ADP
ejpam-6355	414	71	(	(	PUNCT
ejpam-6355	414	72	ghm	ghm	NOUN
ejpam-6355	414	73	)	)	PUNCT
ejpam-6355	414	74	l	l	NOUN
ejpam-6355	414	75	in	in	ADP
ejpam-6355	414	76	(	(	PUNCT
ejpam-6355	414	77	wm	wm	PROPN
ejpam-6355	414	78	)	)	PUNCT
ejpam-6355	414	79	l	l	NOUN
ejpam-6355	414	80	rms	rm	NOUN
ejpam-6355	414	81	(	(	PUNCT
ejpam-6355	414	82	ghm	ghm	NOUN
ejpam-6355	414	83	)	)	PUNCT
ejpam-6355	414	84	l	l	NOUN
ejpam-6355	414	85	rms	rm	NOUN
ejpam-6355	414	86	(	(	PUNCT
ejpam-6355	414	87	wm	wm	PROPN
ejpam-6355	414	88	)	)	PUNCT
ejpam-6355	414	89	(	(	PUNCT
ejpam-6355	414	90	b	b	X
ejpam-6355	414	91	)	)	PUNCT
ejpam-6355	414	92	figure	figure	NOUN
ejpam-6355	414	93	2	2	NUM
ejpam-6355	414	94	:	:	PUNCT
ejpam-6355	414	95	(	(	PUNCT
ejpam-6355	414	96	a	a	X
ejpam-6355	414	97	)	)	PUNCT
ejpam-6355	414	98	comparison	comparison	NOUN
ejpam-6355	414	99	of	of	ADP
ejpam-6355	414	100	exact	exact	ADJ
ejpam-6355	414	101	and	and	CCONJ
ejpam-6355	414	102	approximate	approximate	ADJ
ejpam-6355	414	103	solutions	solution	NOUN
ejpam-6355	414	104	for	for	ADP
ejpam-6355	414	105	problem	problem	NOUN
ejpam-6355	414	106	2	2	NUM
ejpam-6355	414	107	.	.	PUNCT
ejpam-6355	415	1	(	(	PUNCT
ejpam-6355	415	2	b	b	X
ejpam-6355	415	3	)	)	PUNCT
ejpam-6355	415	4	the	the	DET
ejpam-6355	415	5	variation	variation	NOUN
ejpam-6355	415	6	of	of	ADP
ejpam-6355	415	7	error	error	NOUN
ejpam-6355	415	8	norms	norm	NOUN
ejpam-6355	415	9	vs	vs	ADP
ejpam-6355	415	10	t	t	NOUN
ejpam-6355	415	11	for	for	ADP
ejpam-6355	415	12	problem	problem	NOUN
ejpam-6355	415	13	2	2	NUM
ejpam-6355	415	14	.	.	NOUN
ejpam-6355	415	15	5.3	5.3	NUM
ejpam-6355	415	16	.	.	PUNCT
ejpam-6355	416	1	problem	problem	NOUN
ejpam-6355	416	2	3	3	NUM
ejpam-6355	416	3	in	in	ADP
ejpam-6355	416	4	the	the	DET
ejpam-6355	416	5	third	third	ADJ
ejpam-6355	416	6	problem	problem	NOUN
ejpam-6355	416	7	,	,	PUNCT
ejpam-6355	416	8	we	we	PRON
ejpam-6355	416	9	analyze	analyze	VERB
ejpam-6355	416	10	eq.(1	eq.(1	ADJ
ejpam-6355	416	11	)	)	PUNCT
ejpam-6355	416	12	,	,	PUNCT
ejpam-6355	416	13	with	with	ADP
ejpam-6355	416	14	parameters	parameter	NOUN
ejpam-6355	416	15	λ1	λ1	VERB
ejpam-6355	416	16	=	=	SYM
ejpam-6355	416	17	λ4	λ4	NOUN
ejpam-6355	416	18	=	=	NOUN
ejpam-6355	417	1	λ5	λ5	NOUN
ejpam-6355	417	2	=	=	SYM
ejpam-6355	417	3	λ6	λ6	NOUN
ejpam-6355	417	4	=	=	SYM
ejpam-6355	417	5	0	0	NUM
ejpam-6355	417	6	,	,	PUNCT
ejpam-6355	417	7	λ2	λ2	NOUN
ejpam-6355	417	8	=	=	SYM
ejpam-6355	417	9	λ3	λ3	PROPN
ejpam-6355	417	10	=	=	SYM
ejpam-6355	417	11	λ7	λ7	PROPN
ejpam-6355	417	12	=	=	SYM
ejpam-6355	417	13	1	1	NUM
ejpam-6355	417	14	,	,	PUNCT
ejpam-6355	417	15	σ	σ	NOUN
ejpam-6355	417	16	=	=	SYM
ejpam-6355	417	17	1	1	NUM
ejpam-6355	417	18	2	2	NUM
ejpam-6355	417	19	,	,	PUNCT
ejpam-6355	417	20	the	the	DET
ejpam-6355	417	21	kernel	kernel	NOUN
ejpam-6355	417	22	function	function	PROPN
ejpam-6355	417	23	k(t	k(t	PROPN
ejpam-6355	417	24	,	,	PUNCT
ejpam-6355	417	25	x	x	X
ejpam-6355	417	26	)	)	PUNCT
ejpam-6355	417	27	=	=	SYM
ejpam-6355	417	28	t	t	PROPN
ejpam-6355	417	29	−	−	NOUN
ejpam-6355	417	30	x	x	NOUN
ejpam-6355	417	31	,	,	PUNCT
ejpam-6355	417	32	ϕ(t	ϕ(t	NUM
ejpam-6355	417	33	)	)	PUNCT
ejpam-6355	418	1	=	=	SYM
ejpam-6355	418	2	et	et	NOUN
ejpam-6355	418	3	,	,	PUNCT
ejpam-6355	418	4	and	and	CCONJ
ejpam-6355	418	5	the	the	DET
ejpam-6355	418	6	source	source	NOUN
ejpam-6355	418	7	term	term	NOUN
ejpam-6355	418	8	f(t	f(t	NOUN
ejpam-6355	418	9	)	)	PUNCT
ejpam-6355	418	10	=	=	PUNCT
ejpam-6355	418	11	te−	te−	NUM
ejpam-6355	418	12	1	1	NUM
ejpam-6355	418	13	2	2	NUM
ejpam-6355	418	14	+	+	CCONJ
ejpam-6355	418	15	e−	e−	PROPN
ejpam-6355	418	16	1	1	NUM
ejpam-6355	418	17	2	2	NUM
ejpam-6355	418	18	,	,	PUNCT
ejpam-6355	418	19	and	and	CCONJ
ejpam-6355	418	20	exact	exact	ADJ
ejpam-6355	418	21	solution	solution	NOUN
ejpam-6355	418	22	u(t	u(t	NOUN
ejpam-6355	418	23	)	)	PUNCT
ejpam-6355	418	24	=	=	SYM
ejpam-6355	418	25	et	et	NOUN
ejpam-6355	418	26	.	.	PUNCT
ejpam-6355	419	1	the	the	DET
ejpam-6355	419	2	errors	error	NOUN
ejpam-6355	419	3	,	,	PUNCT
ejpam-6355	419	4	lin	lin	PROPN
ejpam-6355	419	5	and	and	CCONJ
ejpam-6355	419	6	lrms	lrm	NOUN
ejpam-6355	419	7	for	for	ADP
ejpam-6355	419	8	both	both	DET
ejpam-6355	419	9	schemes	scheme	NOUN
ejpam-6355	419	10	are	be	AUX
ejpam-6355	419	11	summarized	summarize	VERB
ejpam-6355	419	12	in	in	ADP
ejpam-6355	419	13	table	table	NOUN
ejpam-6355	419	14	3	3	NUM
ejpam-6355	419	15	,	,	PUNCT
ejpam-6355	419	16	illustrating	illustrate	VERB
ejpam-6355	419	17	the	the	DET
ejpam-6355	419	18	convergence	convergence	NOUN
ejpam-6355	419	19	behavior	behavior	NOUN
ejpam-6355	419	20	of	of	ADP
ejpam-6355	419	21	both	both	DET
ejpam-6355	419	22	schemes	scheme	NOUN
ejpam-6355	419	23	.	.	PUNCT
ejpam-6355	420	1	while	while	SCONJ
ejpam-6355	420	2	the	the	DET
ejpam-6355	420	3	wm	wm	PROPN
ejpam-6355	420	4	shows	show	VERB
ejpam-6355	420	5	high	high	ADJ
ejpam-6355	420	6	accuracy	accuracy	NOUN
ejpam-6355	420	7	compared	compare	VERB
ejpam-6355	420	8	to	to	PART
ejpam-6355	420	9	ghq	ghq	VERB
ejpam-6355	420	10	,	,	PUNCT
ejpam-6355	420	11	the	the	DET
ejpam-6355	420	12	latter	latter	ADJ
ejpam-6355	420	13	is	be	AUX
ejpam-6355	420	14	computationally	computationally	ADV
ejpam-6355	420	15	more	more	ADV
ejpam-6355	420	16	efficient	efficient	ADJ
ejpam-6355	420	17	.	.	PUNCT
ejpam-6355	421	1	the	the	DET
ejpam-6355	421	2	exact	exact	ADJ
ejpam-6355	421	3	and	and	CCONJ
ejpam-6355	421	4	numerical	numerical	ADJ
ejpam-6355	421	5	solutions	solution	NOUN
ejpam-6355	421	6	for	for	ADP
ejpam-6355	421	7	this	this	DET
ejpam-6355	421	8	problem	problem	NOUN
ejpam-6355	421	9	are	be	AUX
ejpam-6355	421	10	presented	present	VERB
ejpam-6355	421	11	in	in	ADP
ejpam-6355	421	12	fig	fig	NOUN
ejpam-6355	421	13	.	.	PUNCT
ejpam-6355	422	1	3a	3a	NUM
ejpam-6355	422	2	,	,	PUNCT
ejpam-6355	422	3	while	while	SCONJ
ejpam-6355	422	4	fig.3b	fig.3b	PROPN
ejpam-6355	422	5	provides	provide	VERB
ejpam-6355	422	6	a	a	DET
ejpam-6355	422	7	detailed	detailed	ADJ
ejpam-6355	422	8	comparison	comparison	NOUN
ejpam-6355	422	9	of	of	ADP
ejpam-6355	422	10	lin	lin	PROPN
ejpam-6355	422	11	and	and	CCONJ
ejpam-6355	422	12	lrms	lrm	NOUN
ejpam-6355	422	13	for	for	ADP
ejpam-6355	422	14	both	both	DET
ejpam-6355	422	15	numerical	numerical	ADJ
ejpam-6355	422	16	schemes	scheme	NOUN
ejpam-6355	422	17	.	.	PUNCT
ejpam-6355	423	1	these	these	DET
ejpam-6355	423	2	results	result	NOUN
ejpam-6355	423	3	show	show	VERB
ejpam-6355	423	4	that	that	SCONJ
ejpam-6355	423	5	wm	wm	PROPN
ejpam-6355	423	6	provides	provide	VERB
ejpam-6355	423	7	better	well	ADJ
ejpam-6355	423	8	accuracy	accuracy	NOUN
ejpam-6355	423	9	than	than	ADP
ejpam-6355	423	10	the	the	DET
ejpam-6355	423	11	ghq	ghq	NOUN
ejpam-6355	423	12	.	.	PUNCT
ejpam-6355	424	1	this	this	DET
ejpam-6355	424	2	analysis	analysis	NOUN
ejpam-6355	424	3	highlights	highlight	VERB
ejpam-6355	424	4	the	the	DET
ejpam-6355	424	5	capability	capability	NOUN
ejpam-6355	424	6	and	and	CCONJ
ejpam-6355	424	7	robustness	robustness	NOUN
ejpam-6355	424	8	of	of	ADP
ejpam-6355	424	9	both	both	DET
ejpam-6355	424	10	numerical	numerical	ADJ
ejpam-6355	424	11	schemes	scheme	NOUN
ejpam-6355	424	12	in	in	ADP
ejpam-6355	424	13	solving	solve	VERB
ejpam-6355	424	14	this	this	DET
ejpam-6355	424	15	class	class	NOUN
ejpam-6355	424	16	of	of	ADP
ejpam-6355	424	17	dides	dide	NOUN
ejpam-6355	424	18	.	.	PUNCT
ejpam-6355	425	1	kamran	kamran	PROPN
ejpam-6355	425	2	et	et	PROPN
ejpam-6355	425	3	al	al	PROPN
ejpam-6355	425	4	.	.	PUNCT
ejpam-6355	425	5	/	/	SYM
ejpam-6355	425	6	eur	eur	PROPN
ejpam-6355	425	7	.	.	PUNCT
ejpam-6355	426	1	j.	j.	PROPN
ejpam-6355	426	2	pure	pure	PROPN
ejpam-6355	426	3	appl	appl	PROPN
ejpam-6355	426	4	.	.	PROPN
ejpam-6355	426	5	math	math	PROPN
ejpam-6355	426	6	,	,	PUNCT
ejpam-6355	426	7	18	18	NUM
ejpam-6355	426	8	(	(	PUNCT
ejpam-6355	426	9	3	3	NUM
ejpam-6355	426	10	)	)	PUNCT
ejpam-6355	426	11	(	(	PUNCT
ejpam-6355	426	12	2025	2025	NUM
ejpam-6355	426	13	)	)	PUNCT
ejpam-6355	426	14	,	,	PUNCT
ejpam-6355	426	15	6355	6355	NUM
ejpam-6355	426	16	18	18	NUM
ejpam-6355	426	17	of	of	ADP
ejpam-6355	426	18	22	22	NUM
ejpam-6355	426	19	table	table	NOUN
ejpam-6355	426	20	3	3	NUM
ejpam-6355	426	21	:	:	PUNCT
ejpam-6355	426	22	the	the	DET
ejpam-6355	426	23	lin	lin	PROPN
ejpam-6355	426	24	and	and	CCONJ
ejpam-6355	426	25	lrms	lrm	NOUN
ejpam-6355	426	26	corresponding	correspond	VERB
ejpam-6355	426	27	to	to	PART
ejpam-6355	426	28	problem	problem	VERB
ejpam-6355	426	29	3	3	NUM
ejpam-6355	426	30	using	use	VERB
ejpam-6355	426	31	the	the	DET
ejpam-6355	426	32	ghm	ghm	PROPN
ejpam-6355	426	33	and	and	CCONJ
ejpam-6355	426	34	wm	wm	PROPN
ejpam-6355	426	35	.	.	PROPN
ejpam-6355	427	1	1.3	1.3	NUM
ejpam-6355	427	2	ghm	ghm	PROPN
ejpam-6355	427	3	wm	wm	PROPN
ejpam-6355	427	4	t	t	PROPN
ejpam-6355	427	5	lin	lin	PROPN
ejpam-6355	427	6	lrms	lrms	PROPN
ejpam-6355	427	7	lin	lin	PROPN
ejpam-6355	427	8	lrms	lrm	VERB
ejpam-6355	427	9	0.1	0.1	NUM
ejpam-6355	427	10	4.23×10−05	4.23×10−05	NUM
ejpam-6355	427	11	9.46×10−06	9.46×10−06	NUM
ejpam-6355	427	12	0	0	NUM
ejpam-6355	427	13	0	0	NUM
ejpam-6355	427	14	0.2	0.2	NUM
ejpam-6355	427	15	3.68×10−11	3.68×10−11	NUM
ejpam-6355	427	16	8.23×10−12	8.23×10−12	NUM
ejpam-6355	427	17	2.22×10−16	2.22×10−16	NUM
ejpam-6355	427	18	2.22×10−17	2.22×10−17	NUM
ejpam-6355	427	19	0.3	0.3	NUM
ejpam-6355	427	20	6.76×10−12	6.76×10−12	NUM
ejpam-6355	427	21	1.51×10−12	1.51×10−12	NUM
ejpam-6355	427	22	0	0	NUM
ejpam-6355	427	23	0	0	NUM
ejpam-6355	427	24	0.4	0.4	NUM
ejpam-6355	427	25	2.74×10−11	2.74×10−11	NUM
ejpam-6355	427	26	6.13×10−12	6.13×10−12	NOUN
ejpam-6355	427	27	6.66×10−16	6.66×10−16	NUM
ejpam-6355	427	28	6.66×10−17	6.66×10−17	NOUN
ejpam-6355	427	29	0.5	0.5	NUM
ejpam-6355	427	30	8.85×10−11	8.85×10−11	NUM
ejpam-6355	427	31	1.98×10−11	1.98×10−11	NUM
ejpam-6355	427	32	2.22×10−16	2.22×10−16	NUM
ejpam-6355	427	33	2.22×10−17	2.22×10−17	NUM
ejpam-6355	427	34	0.6	0.6	NUM
ejpam-6355	427	35	2.59×10−10	2.59×10−10	NUM
ejpam-6355	427	36	5.80×10−11	5.80×10−11	NUM
ejpam-6355	427	37	2.22×10−16	2.22×10−16	NUM
ejpam-6355	427	38	2.22×10−17	2.22×10−17	NUM
ejpam-6355	427	39	0.7	0.7	NUM
ejpam-6355	427	40	7.01×10−10	7.01×10−10	NUM
ejpam-6355	427	41	1.57×10−10	1.57×10−10	NUM
ejpam-6355	427	42	4.44×10−16	4.44×10−16	NUM
ejpam-6355	427	43	4.44×10−17	4.44×10−17	NUM
ejpam-6355	427	44	0.8	0.8	NUM
ejpam-6355	427	45	1.78×10−09	1.78×10−09	NUM
ejpam-6355	427	46	3.98×10−10	3.98×10−10	NUM
ejpam-6355	427	47	0	0	NUM
ejpam-6355	427	48	0	0	NUM
ejpam-6355	427	49	0.9	0.9	NUM
ejpam-6355	427	50	4.28×10−09	4.28×10−09	NUM
ejpam-6355	427	51	9.57×10−10	9.57×10−10	NUM
ejpam-6355	427	52	1.33×10−15	1.33×10−15	NUM
ejpam-6355	427	53	1.33×10−16	1.33×10−16	NUM
ejpam-6355	427	54	1	1	NUM
ejpam-6355	427	55	9.86×10−09	9.86×10−09	NOUN
ejpam-6355	427	56	2.20×10−09	2.20×10−09	NOUN
ejpam-6355	427	57	1.78×10−15	1.78×10−15	NUM
ejpam-6355	427	58	1.78×10−16	1.78×10−16	NOUN
ejpam-6355	427	59	0	0	NUM
ejpam-6355	427	60	0.1	0.1	NUM
ejpam-6355	427	61	0.2	0.2	NUM
ejpam-6355	427	62	0.3	0.3	NUM
ejpam-6355	427	63	0.4	0.4	NUM
ejpam-6355	427	64	0.5	0.5	NUM
ejpam-6355	427	65	0.6	0.6	NUM
ejpam-6355	427	66	0.7	0.7	NUM
ejpam-6355	427	67	0.8	0.8	NUM
ejpam-6355	427	68	0.9	0.9	NUM
ejpam-6355	427	69	1	1	NUM
ejpam-6355	427	70	1	1	NUM
ejpam-6355	427	71	1.2	1.2	NUM
ejpam-6355	427	72	1.4	1.4	NUM
ejpam-6355	427	73	1.6	1.6	NUM
ejpam-6355	427	74	1.8	1.8	NUM
ejpam-6355	427	75	2	2	NUM
ejpam-6355	427	76	2.2	2.2	NUM
ejpam-6355	427	77	2.4	2.4	NUM
ejpam-6355	427	78	2.6	2.6	NUM
ejpam-6355	427	79	2.8	2.8	NUM
ejpam-6355	427	80	exactsol	exactsol	NOUN
ejpam-6355	427	81	numericsol	numericsol	NOUN
ejpam-6355	427	82	(	(	PUNCT
ejpam-6355	427	83	a	a	X
ejpam-6355	427	84	)	)	PUNCT
ejpam-6355	427	85	0	0	NUM
ejpam-6355	427	86	0.2	0.2	NUM
ejpam-6355	427	87	0.4	0.4	NUM
ejpam-6355	427	88	0.6	0.6	NUM
ejpam-6355	427	89	0.8	0.8	NUM
ejpam-6355	427	90	1	1	NUM
ejpam-6355	427	91	10	10	NUM
ejpam-6355	427	92	-	-	SYM
ejpam-6355	427	93	18	18	NUM
ejpam-6355	427	94	10	10	NUM
ejpam-6355	427	95	-	-	SYM
ejpam-6355	427	96	16	16	NUM
ejpam-6355	427	97	10	10	NUM
ejpam-6355	427	98	-	-	SYM
ejpam-6355	427	99	14	14	NUM
ejpam-6355	427	100	10	10	NUM
ejpam-6355	427	101	-	-	SYM
ejpam-6355	427	102	12	12	NUM
ejpam-6355	427	103	10	10	NUM
ejpam-6355	427	104	-	-	SYM
ejpam-6355	427	105	10	10	NUM
ejpam-6355	427	106	10	10	NUM
ejpam-6355	427	107	-	-	SYM
ejpam-6355	427	108	8	8	NUM
ejpam-6355	427	109	10	10	NUM
ejpam-6355	427	110	-	-	SYM
ejpam-6355	427	111	6	6	NUM
ejpam-6355	427	112	10	10	NUM
ejpam-6355	427	113	-	-	SYM
ejpam-6355	427	114	4	4	NUM
ejpam-6355	427	115	l	l	NOUN
ejpam-6355	427	116	in	in	ADP
ejpam-6355	427	117	(	(	PUNCT
ejpam-6355	427	118	ghm	ghm	NOUN
ejpam-6355	427	119	)	)	PUNCT
ejpam-6355	427	120	l	l	NOUN
ejpam-6355	427	121	in	in	ADP
ejpam-6355	427	122	(	(	PUNCT
ejpam-6355	427	123	wm	wm	PROPN
ejpam-6355	427	124	)	)	PUNCT
ejpam-6355	427	125	l	l	NOUN
ejpam-6355	427	126	rms	rm	NOUN
ejpam-6355	427	127	(	(	PUNCT
ejpam-6355	427	128	ghm	ghm	NOUN
ejpam-6355	427	129	)	)	PUNCT
ejpam-6355	427	130	l	l	NOUN
ejpam-6355	427	131	rms	rm	NOUN
ejpam-6355	427	132	(	(	PUNCT
ejpam-6355	427	133	wm	wm	PROPN
ejpam-6355	427	134	)	)	PUNCT
ejpam-6355	427	135	(	(	PUNCT
ejpam-6355	427	136	b	b	X
ejpam-6355	427	137	)	)	PUNCT
ejpam-6355	427	138	figure	figure	NOUN
ejpam-6355	427	139	3	3	NUM
ejpam-6355	427	140	:	:	PUNCT
ejpam-6355	427	141	(	(	PUNCT
ejpam-6355	427	142	a	a	X
ejpam-6355	427	143	)	)	PUNCT
ejpam-6355	427	144	comparison	comparison	NOUN
ejpam-6355	427	145	of	of	ADP
ejpam-6355	427	146	numerical	numerical	ADJ
ejpam-6355	427	147	and	and	CCONJ
ejpam-6355	427	148	exact	exact	ADJ
ejpam-6355	427	149	solutions	solution	NOUN
ejpam-6355	427	150	for	for	ADP
ejpam-6355	427	151	problem	problem	NOUN
ejpam-6355	427	152	3	3	NUM
ejpam-6355	427	153	.	.	PUNCT
ejpam-6355	428	1	(	(	PUNCT
ejpam-6355	428	2	b	b	X
ejpam-6355	428	3	)	)	PUNCT
ejpam-6355	428	4	the	the	DET
ejpam-6355	428	5	variation	variation	NOUN
ejpam-6355	428	6	of	of	ADP
ejpam-6355	428	7	error	error	NOUN
ejpam-6355	428	8	norms	norm	NOUN
ejpam-6355	428	9	vs	vs	ADP
ejpam-6355	428	10	t	t	NOUN
ejpam-6355	428	11	for	for	ADP
ejpam-6355	428	12	problem	problem	NOUN
ejpam-6355	428	13	3	3	NUM
ejpam-6355	428	14	.	.	PROPN
ejpam-6355	428	15	5.4	5.4	NUM
ejpam-6355	428	16	.	.	PUNCT
ejpam-6355	429	1	problem	problem	NOUN
ejpam-6355	429	2	4	4	NUM
ejpam-6355	429	3	in	in	ADP
ejpam-6355	429	4	the	the	DET
ejpam-6355	429	5	forth	forth	NOUN
ejpam-6355	429	6	problem	problem	NOUN
ejpam-6355	429	7	,	,	PUNCT
ejpam-6355	429	8	we	we	PRON
ejpam-6355	429	9	examine	examine	VERB
ejpam-6355	429	10	eq.(1	eq.(1	ADJ
ejpam-6355	429	11	)	)	PUNCT
ejpam-6355	429	12	,	,	PUNCT
ejpam-6355	429	13	with	with	SCONJ
ejpam-6355	429	14	all	all	DET
ejpam-6355	429	15	parameters	parameter	NOUN
ejpam-6355	429	16	set	set	VERB
ejpam-6355	429	17	to	to	ADP
ejpam-6355	429	18	λ1	λ1	PROPN
ejpam-6355	429	19	=	=	SYM
ejpam-6355	429	20	λ2	λ2	PROPN
ejpam-6355	429	21	=	=	SYM
ejpam-6355	430	1	λ3	λ3	PROPN
ejpam-6355	430	2	=	=	X
ejpam-6355	430	3	λ4	λ4	ADJ
ejpam-6355	430	4	=	=	NOUN
ejpam-6355	431	1	λ5	λ5	NOUN
ejpam-6355	431	2	=	=	SYM
ejpam-6355	431	3	λ6	λ6	NOUN
ejpam-6355	431	4	=	=	PROPN
ejpam-6355	431	5	λ7	λ7	PROPN
ejpam-6355	431	6	=	=	SYM
ejpam-6355	431	7	1	1	NUM
ejpam-6355	431	8	,	,	PUNCT
ejpam-6355	431	9	σ	σ	NOUN
ejpam-6355	431	10	=	=	SYM
ejpam-6355	431	11	1	1	NUM
ejpam-6355	431	12	,	,	PUNCT
ejpam-6355	431	13	the	the	DET
ejpam-6355	431	14	kernel	kernel	NOUN
ejpam-6355	431	15	function	function	NOUN
ejpam-6355	431	16	defined	define	VERB
ejpam-6355	431	17	as	as	ADP
ejpam-6355	431	18	k(t	k(t	PROPN
ejpam-6355	431	19	,	,	PUNCT
ejpam-6355	431	20	x	x	X
ejpam-6355	431	21	)	)	PUNCT
ejpam-6355	431	22	=	=	SYM
ejpam-6355	431	23	t	t	PROPN
ejpam-6355	431	24	−	−	NOUN
ejpam-6355	431	25	x	x	NOUN
ejpam-6355	431	26	,	,	PUNCT
ejpam-6355	431	27	ϕ(t	ϕ(t	NUM
ejpam-6355	431	28	)	)	PUNCT
ejpam-6355	431	29	=	=	SYM
ejpam-6355	431	30	et	et	NOUN
ejpam-6355	431	31	,	,	PUNCT
ejpam-6355	431	32	and	and	CCONJ
ejpam-6355	431	33	the	the	DET
ejpam-6355	431	34	source	source	NOUN
ejpam-6355	431	35	term	term	NOUN
ejpam-6355	431	36	given	give	VERB
ejpam-6355	431	37	by	by	ADP
ejpam-6355	431	38	f(t	f(t	NOUN
ejpam-6355	431	39	)	)	PUNCT
ejpam-6355	432	1	=	=	SYM
ejpam-6355	433	1	t(1	t(1	NOUN
ejpam-6355	433	2	+	+	CCONJ
ejpam-6355	433	3	e−1	e−1	PROPN
ejpam-6355	433	4	)	)	PUNCT
ejpam-6355	433	5	−	−	NOUN
ejpam-6355	433	6	et	et	NOUN
ejpam-6355	433	7	−	−	PROPN
ejpam-6355	433	8	et−1	et−1	NOUN
ejpam-6355	433	9	+	+	CCONJ
ejpam-6355	433	10	1	1	NUM
ejpam-6355	433	11	+	+	CCONJ
ejpam-6355	433	12	e−1	e−1	PROPN
ejpam-6355	433	13	.	.	PUNCT
ejpam-6355	434	1	the	the	DET
ejpam-6355	434	2	exact	exact	ADJ
ejpam-6355	434	3	solution	solution	NOUN
ejpam-6355	434	4	of	of	ADP
ejpam-6355	434	5	this	this	DET
ejpam-6355	434	6	problem	problem	NOUN
ejpam-6355	434	7	is	be	AUX
ejpam-6355	434	8	u(t	u(t	NOUN
ejpam-6355	434	9	)	)	PUNCT
ejpam-6355	434	10	=	=	SYM
ejpam-6355	434	11	et	et	NOUN
ejpam-6355	434	12	.	.	PUNCT
ejpam-6355	435	1	the	the	DET
ejpam-6355	435	2	problem	problem	NOUN
ejpam-6355	435	3	is	be	AUX
ejpam-6355	435	4	solved	solve	VERB
ejpam-6355	435	5	using	use	VERB
ejpam-6355	435	6	the	the	DET
ejpam-6355	435	7	two	two	NUM
ejpam-6355	435	8	numerical	numerical	ADJ
ejpam-6355	435	9	schemes	scheme	NOUN
ejpam-6355	435	10	,	,	PUNCT
ejpam-6355	435	11	the	the	DET
ejpam-6355	435	12	ghq	ghq	NOUN
ejpam-6355	435	13	and	and	CCONJ
ejpam-6355	435	14	wm	wm	PROPN
ejpam-6355	435	15	.	.	PROPN
ejpam-6355	435	16	table	table	NOUN
ejpam-6355	435	17	4	4	NUM
ejpam-6355	435	18	provides	provide	VERB
ejpam-6355	435	19	the	the	DET
ejpam-6355	435	20	error	error	NOUN
ejpam-6355	435	21	measures	measure	NOUN
ejpam-6355	435	22	lin	lin	PROPN
ejpam-6355	435	23	and	and	CCONJ
ejpam-6355	435	24	lrms	lrm	NOUN
ejpam-6355	435	25	for	for	ADP
ejpam-6355	435	26	both	both	DET
ejpam-6355	435	27	schemes	scheme	NOUN
ejpam-6355	435	28	,	,	PUNCT
ejpam-6355	435	29	which	which	PRON
ejpam-6355	435	30	confirm	confirm	VERB
ejpam-6355	435	31	their	their	PRON
ejpam-6355	435	32	convergence	convergence	NOUN
ejpam-6355	435	33	.	.	PUNCT
ejpam-6355	436	1	as	as	SCONJ
ejpam-6355	436	2	observed	observe	VERB
ejpam-6355	436	3	in	in	ADP
ejpam-6355	436	4	the	the	DET
ejpam-6355	436	5	previous	previous	ADJ
ejpam-6355	436	6	problems	problem	NOUN
ejpam-6355	436	7	,	,	PUNCT
ejpam-6355	436	8	the	the	DET
ejpam-6355	436	9	wm	wm	PROPN
ejpam-6355	436	10	achieves	achieve	VERB
ejpam-6355	436	11	high	high	ADJ
ejpam-6355	436	12	accuracy	accuracy	NOUN
ejpam-6355	436	13	compared	compare	VERB
ejpam-6355	436	14	to	to	ADP
ejpam-6355	436	15	the	the	DET
ejpam-6355	436	16	ghq	ghq	NOUN
ejpam-6355	436	17	,	,	PUNCT
ejpam-6355	436	18	while	while	SCONJ
ejpam-6355	436	19	the	the	DET
ejpam-6355	436	20	ghq	ghq	NOUN
ejpam-6355	436	21	demonstrates	demonstrate	VERB
ejpam-6355	436	22	better	well	ADJ
ejpam-6355	436	23	computational	computational	ADJ
ejpam-6355	436	24	efficiency	efficiency	NOUN
ejpam-6355	436	25	.	.	PUNCT
ejpam-6355	437	1	kamran	kamran	PROPN
ejpam-6355	437	2	et	et	PROPN
ejpam-6355	437	3	al	al	PROPN
ejpam-6355	437	4	.	.	PUNCT
ejpam-6355	437	5	/	/	SYM
ejpam-6355	437	6	eur	eur	PROPN
ejpam-6355	437	7	.	.	PUNCT
ejpam-6355	438	1	j.	j.	PROPN
ejpam-6355	438	2	pure	pure	PROPN
ejpam-6355	438	3	appl	appl	PROPN
ejpam-6355	438	4	.	.	PROPN
ejpam-6355	438	5	math	math	PROPN
ejpam-6355	438	6	,	,	PUNCT
ejpam-6355	438	7	18	18	NUM
ejpam-6355	438	8	(	(	PUNCT
ejpam-6355	438	9	3	3	NUM
ejpam-6355	438	10	)	)	PUNCT
ejpam-6355	438	11	(	(	PUNCT
ejpam-6355	438	12	2025	2025	NUM
ejpam-6355	438	13	)	)	PUNCT
ejpam-6355	438	14	,	,	PUNCT
ejpam-6355	438	15	6355	6355	NUM
ejpam-6355	438	16	19	19	NUM
ejpam-6355	438	17	of	of	ADP
ejpam-6355	438	18	22	22	NUM
ejpam-6355	438	19	the	the	DET
ejpam-6355	438	20	exact	exact	ADJ
ejpam-6355	438	21	and	and	CCONJ
ejpam-6355	438	22	numerical	numerical	ADJ
ejpam-6355	438	23	solutions	solution	NOUN
ejpam-6355	438	24	for	for	ADP
ejpam-6355	438	25	this	this	DET
ejpam-6355	438	26	problem	problem	NOUN
ejpam-6355	438	27	are	be	AUX
ejpam-6355	438	28	depicted	depict	VERB
ejpam-6355	438	29	in	in	ADP
ejpam-6355	438	30	fig	fig	NOUN
ejpam-6355	438	31	.	.	PUNCT
ejpam-6355	439	1	4a	4a	NOUN
ejpam-6355	439	2	,	,	PUNCT
ejpam-6355	439	3	and	and	CCONJ
ejpam-6355	439	4	a	a	DET
ejpam-6355	439	5	comparative	comparative	ADJ
ejpam-6355	439	6	analysis	analysis	NOUN
ejpam-6355	439	7	of	of	ADP
ejpam-6355	439	8	lin	lin	PROPN
ejpam-6355	439	9	and	and	CCONJ
ejpam-6355	439	10	lrms	lrm	NOUN
ejpam-6355	439	11	for	for	ADP
ejpam-6355	439	12	the	the	DET
ejpam-6355	439	13	two	two	NUM
ejpam-6355	439	14	numerical	numerical	ADJ
ejpam-6355	439	15	schemes	scheme	NOUN
ejpam-6355	439	16	is	be	AUX
ejpam-6355	439	17	displayed	display	VERB
ejpam-6355	439	18	in	in	ADP
ejpam-6355	439	19	fig	fig	NOUN
ejpam-6355	439	20	.	.	PUNCT
ejpam-6355	440	1	4b	4b	PROPN
ejpam-6355	440	2	.	.	PUNCT
ejpam-6355	441	1	these	these	DET
ejpam-6355	441	2	results	result	NOUN
ejpam-6355	441	3	further	far	ADV
ejpam-6355	441	4	illustrate	illustrate	VERB
ejpam-6355	441	5	the	the	DET
ejpam-6355	441	6	superior	superior	ADJ
ejpam-6355	441	7	accuracy	accuracy	NOUN
ejpam-6355	441	8	of	of	ADP
ejpam-6355	441	9	the	the	DET
ejpam-6355	441	10	wm	wm	PROPN
ejpam-6355	441	11	.	.	PUNCT
ejpam-6355	442	1	this	this	DET
ejpam-6355	442	2	problem	problem	NOUN
ejpam-6355	442	3	exemplifies	exemplify	VERB
ejpam-6355	442	4	the	the	DET
ejpam-6355	442	5	effectiveness	effectiveness	NOUN
ejpam-6355	442	6	and	and	CCONJ
ejpam-6355	442	7	versatility	versatility	NOUN
ejpam-6355	442	8	of	of	ADP
ejpam-6355	442	9	the	the	DET
ejpam-6355	442	10	proposed	propose	VERB
ejpam-6355	442	11	numerical	numerical	ADJ
ejpam-6355	442	12	methods	method	NOUN
ejpam-6355	442	13	for	for	ADP
ejpam-6355	442	14	such	such	ADJ
ejpam-6355	442	15	dides	dide	NOUN
ejpam-6355	442	16	.	.	PUNCT
ejpam-6355	443	1	table	table	NOUN
ejpam-6355	443	2	4	4	NUM
ejpam-6355	443	3	:	:	PUNCT
ejpam-6355	443	4	the	the	DET
ejpam-6355	443	5	lin	lin	PROPN
ejpam-6355	443	6	and	and	CCONJ
ejpam-6355	443	7	lrms	lrm	NOUN
ejpam-6355	443	8	corresponding	correspond	VERB
ejpam-6355	443	9	to	to	PART
ejpam-6355	443	10	problem	problem	VERB
ejpam-6355	443	11	4	4	NUM
ejpam-6355	443	12	using	use	VERB
ejpam-6355	443	13	the	the	DET
ejpam-6355	443	14	ghm	ghm	PROPN
ejpam-6355	443	15	and	and	CCONJ
ejpam-6355	443	16	wm	wm	PROPN
ejpam-6355	443	17	.	.	PROPN
ejpam-6355	444	1	1.3	1.3	NUM
ejpam-6355	444	2	ghm	ghm	PROPN
ejpam-6355	444	3	wm	wm	PROPN
ejpam-6355	444	4	t	t	PROPN
ejpam-6355	444	5	lin	lin	PROPN
ejpam-6355	444	6	lrms	lrms	PROPN
ejpam-6355	444	7	lin	lin	PROPN
ejpam-6355	444	8	lrms	lrm	VERB
ejpam-6355	444	9	0.1	0.1	NUM
ejpam-6355	444	10	1.98×10−13	1.98×10−13	NUM
ejpam-6355	444	11	4.43×10−14	4.43×10−14	NOUN
ejpam-6355	444	12	0	0	NUM
ejpam-6355	444	13	0	0	NUM
ejpam-6355	444	14	0.2	0.2	NUM
ejpam-6355	444	15	1.50×10−12	1.50×10−12	NUM
ejpam-6355	444	16	3.37×10−13	3.37×10−13	NUM
ejpam-6355	444	17	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	18	2.22×10−17	2.22×10−17	NUM
ejpam-6355	444	19	0.3	0.3	NUM
ejpam-6355	444	20	7.14×10−12	7.14×10−12	NUM
ejpam-6355	444	21	1.63×10−12	1.63×10−12	NUM
ejpam-6355	444	22	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	23	3.14×10−17	3.14×10−17	NUM
ejpam-6355	444	24	0.4	0.4	NUM
ejpam-6355	444	25	2.71×10−11	2.71×10−11	NUM
ejpam-6355	444	26	6.28×10−12	6.28×10−12	NUM
ejpam-6355	444	27	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	28	3.14×10−17	3.14×10−17	NUM
ejpam-6355	444	29	0.5	0.5	NUM
ejpam-6355	444	30	8.85×10−11	8.85×10−11	NUM
ejpam-6355	444	31	2.08×10−11	2.08×10−11	NUM
ejpam-6355	444	32	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	33	3.85×10−17	3.85×10−17	NUM
ejpam-6355	444	34	0.6	0.6	NUM
ejpam-6355	444	35	2.59×10−10	2.59×10−10	NUM
ejpam-6355	444	36	6.16×10−11	6.16×10−11	NUM
ejpam-6355	444	37	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	38	3.85×10−17	3.85×10−17	NUM
ejpam-6355	444	39	0.7	0.7	NUM
ejpam-6355	444	40	7.01×10−10	7.01×10−10	NUM
ejpam-6355	444	41	1.68×10−10	1.68×10−10	NUM
ejpam-6355	444	42	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	43	3.85×10−17	3.85×10−17	NUM
ejpam-6355	444	44	0.8	0.8	NUM
ejpam-6355	444	45	1.78×10−09	1.78×10−09	NUM
ejpam-6355	444	46	4.32×10−10	4.32×10−10	NUM
ejpam-6355	444	47	2.22×10−16	2.22×10−16	NUM
ejpam-6355	444	48	3.85×10−17	3.85×10−17	NUM
ejpam-6355	444	49	0.9	0.9	NUM
ejpam-6355	444	50	4.28×10−09	4.28×10−09	NUM
ejpam-6355	444	51	1.05×10−09	1.05×10−09	NUM
ejpam-6355	444	52	4.44×10−16	4.44×10−16	NUM
ejpam-6355	444	53	5.87×10−17	5.87×10−17	NUM
ejpam-6355	444	54	1	1	NUM
ejpam-6355	444	55	9.86×10−09	9.86×10−09	NUM
ejpam-6355	444	56	2.44×10−09	2.44×10−09	NUM
ejpam-6355	445	1	4.44×10−16	4.44×10−16	NUM
ejpam-6355	445	2	7.36×10−17	7.36×10−17	NOUN
ejpam-6355	445	3	0	0	NUM
ejpam-6355	445	4	0.1	0.1	NUM
ejpam-6355	445	5	0.2	0.2	NUM
ejpam-6355	445	6	0.3	0.3	NUM
ejpam-6355	445	7	0.4	0.4	NUM
ejpam-6355	445	8	0.5	0.5	NUM
ejpam-6355	445	9	0.6	0.6	NUM
ejpam-6355	445	10	0.7	0.7	NUM
ejpam-6355	445	11	0.8	0.8	NUM
ejpam-6355	445	12	0.9	0.9	NUM
ejpam-6355	445	13	1	1	NUM
ejpam-6355	445	14	1	1	NUM
ejpam-6355	445	15	1.2	1.2	NUM
ejpam-6355	445	16	1.4	1.4	NUM
ejpam-6355	445	17	1.6	1.6	NUM
ejpam-6355	445	18	1.8	1.8	NUM
ejpam-6355	445	19	2	2	NUM
ejpam-6355	445	20	2.2	2.2	NUM
ejpam-6355	445	21	2.4	2.4	NUM
ejpam-6355	445	22	2.6	2.6	NUM
ejpam-6355	445	23	2.8	2.8	NUM
ejpam-6355	445	24	exactsol	exactsol	NOUN
ejpam-6355	445	25	numericsol	numericsol	NOUN
ejpam-6355	445	26	(	(	PUNCT
ejpam-6355	445	27	a	a	X
ejpam-6355	445	28	)	)	PUNCT
ejpam-6355	445	29	0	0	NUM
ejpam-6355	445	30	0.2	0.2	NUM
ejpam-6355	445	31	0.4	0.4	NUM
ejpam-6355	445	32	0.6	0.6	NUM
ejpam-6355	445	33	0.8	0.8	NUM
ejpam-6355	445	34	1	1	NUM
ejpam-6355	445	35	10	10	NUM
ejpam-6355	445	36	-	-	SYM
ejpam-6355	445	37	18	18	NUM
ejpam-6355	445	38	10	10	NUM
ejpam-6355	445	39	-	-	SYM
ejpam-6355	445	40	16	16	NUM
ejpam-6355	445	41	10	10	NUM
ejpam-6355	445	42	-	-	SYM
ejpam-6355	445	43	14	14	NUM
ejpam-6355	445	44	10	10	NUM
ejpam-6355	445	45	-	-	SYM
ejpam-6355	445	46	12	12	NUM
ejpam-6355	445	47	10	10	NUM
ejpam-6355	445	48	-	-	SYM
ejpam-6355	445	49	10	10	NUM
ejpam-6355	445	50	10	10	NUM
ejpam-6355	445	51	-	-	SYM
ejpam-6355	445	52	8	8	NUM
ejpam-6355	445	53	l	l	NOUN
ejpam-6355	445	54	in	in	ADP
ejpam-6355	445	55	(	(	PUNCT
ejpam-6355	445	56	ghm	ghm	NOUN
ejpam-6355	445	57	)	)	PUNCT
ejpam-6355	445	58	l	l	NOUN
ejpam-6355	445	59	in	in	ADP
ejpam-6355	445	60	(	(	PUNCT
ejpam-6355	445	61	wm	wm	PROPN
ejpam-6355	445	62	)	)	PUNCT
ejpam-6355	445	63	l	l	NOUN
ejpam-6355	445	64	rms	rm	NOUN
ejpam-6355	445	65	(	(	PUNCT
ejpam-6355	445	66	ghm	ghm	NOUN
ejpam-6355	445	67	)	)	PUNCT
ejpam-6355	445	68	l	l	NOUN
ejpam-6355	445	69	rms	rm	NOUN
ejpam-6355	445	70	(	(	PUNCT
ejpam-6355	445	71	wm	wm	PROPN
ejpam-6355	445	72	)	)	PUNCT
ejpam-6355	445	73	(	(	PUNCT
ejpam-6355	445	74	b	b	X
ejpam-6355	445	75	)	)	PUNCT
ejpam-6355	445	76	figure	figure	NOUN
ejpam-6355	445	77	4	4	NUM
ejpam-6355	445	78	:	:	PUNCT
ejpam-6355	445	79	(	(	PUNCT
ejpam-6355	445	80	a	a	X
ejpam-6355	445	81	)	)	PUNCT
ejpam-6355	445	82	comparison	comparison	NOUN
ejpam-6355	445	83	of	of	ADP
ejpam-6355	445	84	exact	exact	ADJ
ejpam-6355	445	85	and	and	CCONJ
ejpam-6355	445	86	numerical	numerical	ADJ
ejpam-6355	445	87	solutions	solution	NOUN
ejpam-6355	445	88	for	for	ADP
ejpam-6355	445	89	problem	problem	NOUN
ejpam-6355	445	90	4	4	NUM
ejpam-6355	445	91	.	.	PUNCT
ejpam-6355	446	1	(	(	PUNCT
ejpam-6355	446	2	b	b	X
ejpam-6355	446	3	)	)	PUNCT
ejpam-6355	446	4	the	the	DET
ejpam-6355	446	5	variation	variation	NOUN
ejpam-6355	446	6	of	of	ADP
ejpam-6355	446	7	error	error	NOUN
ejpam-6355	446	8	norms	norm	NOUN
ejpam-6355	446	9	vs	vs	ADP
ejpam-6355	446	10	t	t	NOUN
ejpam-6355	446	11	for	for	ADP
ejpam-6355	446	12	problem	problem	NOUN
ejpam-6355	446	13	4	4	NUM
ejpam-6355	446	14	.	.	NOUN
ejpam-6355	446	15	6	6	NUM
ejpam-6355	446	16	.	.	X
ejpam-6355	446	17	conclusion	conclusion	NOUN
ejpam-6355	446	18	in	in	ADP
ejpam-6355	446	19	this	this	DET
ejpam-6355	446	20	article	article	NOUN
ejpam-6355	446	21	,	,	PUNCT
ejpam-6355	446	22	a	a	DET
ejpam-6355	446	23	numerical	numerical	ADJ
ejpam-6355	446	24	technique	technique	NOUN
ejpam-6355	446	25	based	base	VERB
ejpam-6355	446	26	on	on	ADP
ejpam-6355	446	27	the	the	DET
ejpam-6355	446	28	lt	lt	NOUN
ejpam-6355	446	29	was	be	AUX
ejpam-6355	446	30	developed	develop	VERB
ejpam-6355	446	31	for	for	ADP
ejpam-6355	446	32	the	the	DET
ejpam-6355	446	33	numerical	numerical	ADJ
ejpam-6355	446	34	solution	solution	NOUN
ejpam-6355	446	35	of	of	ADP
ejpam-6355	446	36	dides	dide	NOUN
ejpam-6355	446	37	.	.	PUNCT
ejpam-6355	447	1	the	the	DET
ejpam-6355	447	2	suggested	suggest	VERB
ejpam-6355	447	3	technique	technique	NOUN
ejpam-6355	447	4	first	first	ADV
ejpam-6355	447	5	transforms	transform	VERB
ejpam-6355	447	6	the	the	DET
ejpam-6355	447	7	given	give	VERB
ejpam-6355	447	8	dides	dide	NOUN
ejpam-6355	447	9	into	into	ADP
ejpam-6355	447	10	algebraic	algebraic	ADJ
ejpam-6355	447	11	equations	equation	NOUN
ejpam-6355	447	12	in	in	ADP
ejpam-6355	447	13	the	the	DET
ejpam-6355	447	14	laplace	laplace	NOUN
ejpam-6355	447	15	domain	domain	NOUN
ejpam-6355	447	16	,	,	PUNCT
ejpam-6355	447	17	which	which	PRON
ejpam-6355	447	18	are	be	AUX
ejpam-6355	447	19	then	then	ADV
ejpam-6355	447	20	solved	solve	VERB
ejpam-6355	447	21	for	for	ADP
ejpam-6355	447	22	the	the	DET
ejpam-6355	447	23	unknown	unknown	NOUN
ejpam-6355	447	24	.	.	PUNCT
ejpam-6355	448	1	two	two	NUM
ejpam-6355	448	2	kamran	kamran	PROPN
ejpam-6355	448	3	et	et	PROPN
ejpam-6355	448	4	al	al	PROPN
ejpam-6355	448	5	.	.	PUNCT
ejpam-6355	448	6	/	/	SYM
ejpam-6355	448	7	eur	eur	PROPN
ejpam-6355	448	8	.	.	PUNCT
ejpam-6355	449	1	j.	j.	PROPN
ejpam-6355	449	2	pure	pure	PROPN
ejpam-6355	449	3	appl	appl	PROPN
ejpam-6355	449	4	.	.	PROPN
ejpam-6355	449	5	math	math	PROPN
ejpam-6355	449	6	,	,	PUNCT
ejpam-6355	449	7	18	18	NUM
ejpam-6355	449	8	(	(	PUNCT
ejpam-6355	449	9	3	3	NUM
ejpam-6355	449	10	)	)	PUNCT
ejpam-6355	449	11	(	(	PUNCT
ejpam-6355	449	12	2025	2025	NUM
ejpam-6355	449	13	)	)	PUNCT
ejpam-6355	449	14	,	,	PUNCT
ejpam-6355	449	15	6355	6355	NUM
ejpam-6355	449	16	20	20	NUM
ejpam-6355	449	17	of	of	ADP
ejpam-6355	449	18	22	22	NUM
ejpam-6355	449	19	inversion	inversion	NOUN
ejpam-6355	449	20	techniques	technique	NOUN
ejpam-6355	449	21	,	,	PUNCT
ejpam-6355	449	22	the	the	DET
ejpam-6355	449	23	gauss	gauss	ADJ
ejpam-6355	449	24	-	-	PUNCT
ejpam-6355	449	25	hermite	hermite	ADJ
ejpam-6355	449	26	quadrature	quadrature	NOUN
ejpam-6355	449	27	method	method	NOUN
ejpam-6355	449	28	and	and	CCONJ
ejpam-6355	449	29	the	the	DET
ejpam-6355	449	30	weeks	week	NOUN
ejpam-6355	449	31	method	method	NOUN
ejpam-6355	449	32	,	,	PUNCT
ejpam-6355	449	33	are	be	AUX
ejpam-6355	449	34	then	then	ADV
ejpam-6355	449	35	used	use	VERB
ejpam-6355	449	36	to	to	PART
ejpam-6355	449	37	transform	transform	VERB
ejpam-6355	449	38	the	the	DET
ejpam-6355	449	39	solution	solution	NOUN
ejpam-6355	449	40	back	back	ADV
ejpam-6355	449	41	into	into	ADP
ejpam-6355	449	42	the	the	DET
ejpam-6355	449	43	time	time	NOUN
ejpam-6355	449	44	domain	domain	NOUN
ejpam-6355	449	45	.	.	PUNCT
ejpam-6355	450	1	the	the	DET
ejpam-6355	450	2	efficiency	efficiency	NOUN
ejpam-6355	450	3	and	and	CCONJ
ejpam-6355	450	4	accuracy	accuracy	NOUN
ejpam-6355	450	5	of	of	ADP
ejpam-6355	450	6	the	the	DET
ejpam-6355	450	7	approach	approach	NOUN
ejpam-6355	450	8	were	be	AUX
ejpam-6355	450	9	validated	validate	VERB
ejpam-6355	450	10	through	through	ADP
ejpam-6355	450	11	various	various	ADJ
ejpam-6355	450	12	examples	example	NOUN
ejpam-6355	450	13	,	,	PUNCT
ejpam-6355	450	14	with	with	ADP
ejpam-6355	450	15	comparisons	comparison	NOUN
ejpam-6355	450	16	of	of	ADP
ejpam-6355	450	17	the	the	DET
ejpam-6355	450	18	results	result	NOUN
ejpam-6355	450	19	obtained	obtain	VERB
ejpam-6355	450	20	using	use	VERB
ejpam-6355	450	21	the	the	DET
ejpam-6355	450	22	two	two	NUM
ejpam-6355	450	23	inversion	inversion	NOUN
ejpam-6355	450	24	methods	method	NOUN
ejpam-6355	450	25	provided	provide	VERB
ejpam-6355	450	26	via	via	ADP
ejpam-6355	450	27	tables	table	NOUN
ejpam-6355	450	28	and	and	CCONJ
ejpam-6355	450	29	figures	figure	NOUN
ejpam-6355	450	30	.	.	PUNCT
ejpam-6355	451	1	the	the	DET
ejpam-6355	451	2	weeks	week	NOUN
ejpam-6355	451	3	method	method	NOUN
ejpam-6355	451	4	demonstrated	demonstrate	VERB
ejpam-6355	451	5	superior	superior	ADJ
ejpam-6355	451	6	performance	performance	NOUN
ejpam-6355	451	7	in	in	ADP
ejpam-6355	451	8	terms	term	NOUN
ejpam-6355	451	9	of	of	ADP
ejpam-6355	451	10	accuracy	accuracy	NOUN
ejpam-6355	451	11	;	;	PUNCT
ejpam-6355	451	12	however	however	ADV
ejpam-6355	451	13	,	,	PUNCT
ejpam-6355	451	14	its	its	PRON
ejpam-6355	451	15	computational	computational	ADJ
ejpam-6355	451	16	time	time	NOUN
ejpam-6355	451	17	is	be	AUX
ejpam-6355	451	18	higher	high	ADJ
ejpam-6355	451	19	compared	compare	VERB
ejpam-6355	451	20	to	to	ADP
ejpam-6355	451	21	the	the	DET
ejpam-6355	451	22	gauss	gauss	ADJ
ejpam-6355	451	23	-	-	PUNCT
ejpam-6355	451	24	hermite	hermite	ADJ
ejpam-6355	451	25	quadrature	quadrature	NOUN
ejpam-6355	451	26	method	method	NOUN
ejpam-6355	451	27	.	.	PUNCT
ejpam-6355	452	1	additionally	additionally	ADV
ejpam-6355	452	2	,	,	PUNCT
ejpam-6355	452	3	our	our	PRON
ejpam-6355	452	4	results	result	NOUN
ejpam-6355	452	5	demonstrated	demonstrate	VERB
ejpam-6355	452	6	remarkable	remarkable	ADJ
ejpam-6355	452	7	accuracy	accuracy	NOUN
ejpam-6355	452	8	improvements	improvement	NOUN
ejpam-6355	452	9	when	when	SCONJ
ejpam-6355	452	10	compared	compare	VERB
ejpam-6355	452	11	to	to	ADP
ejpam-6355	452	12	those	those	PRON
ejpam-6355	452	13	published	publish	VERB
ejpam-6355	452	14	in	in	ADP
ejpam-6355	452	15	the	the	DET
ejpam-6355	452	16	literature	literature	NOUN
ejpam-6355	452	17	.	.	PUNCT
ejpam-6355	453	1	these	these	DET
ejpam-6355	453	2	findings	finding	NOUN
ejpam-6355	453	3	confirm	confirm	VERB
ejpam-6355	453	4	the	the	DET
ejpam-6355	453	5	effectiveness	effectiveness	NOUN
ejpam-6355	453	6	of	of	ADP
ejpam-6355	453	7	the	the	DET
ejpam-6355	453	8	methods	method	NOUN
ejpam-6355	453	9	and	and	CCONJ
ejpam-6355	453	10	provide	provide	VERB
ejpam-6355	453	11	insights	insight	NOUN
ejpam-6355	453	12	into	into	ADP
ejpam-6355	453	13	the	the	DET
ejpam-6355	453	14	trade	trade	NOUN
ejpam-6355	453	15	-	-	PUNCT
ejpam-6355	453	16	offs	off	NOUN
ejpam-6355	453	17	between	between	ADP
ejpam-6355	453	18	the	the	DET
ejpam-6355	453	19	two	two	NUM
ejpam-6355	453	20	inversion	inversion	NOUN
ejpam-6355	453	21	techniques	technique	NOUN
ejpam-6355	453	22	.	.	PUNCT
ejpam-6355	454	1	credit	credit	NOUN
ejpam-6355	454	2	authorship	authorship	NOUN
ejpam-6355	454	3	contribution	contribution	NOUN
ejpam-6355	454	4	statement	statement	NOUN
ejpam-6355	454	5	k	k	NOUN
ejpam-6355	454	6	:	:	PUNCT
ejpam-6355	454	7	methodology	methodology	NOUN
ejpam-6355	454	8	,	,	PUNCT
ejpam-6355	454	9	writing	write	VERB
ejpam-6355	454	10	original	original	ADJ
ejpam-6355	454	11	draft	draft	NOUN
ejpam-6355	454	12	,	,	PUNCT
ejpam-6355	454	13	software	software	NOUN
ejpam-6355	454	14	,	,	PUNCT
ejpam-6355	454	15	supervision	supervision	NOUN
ejpam-6355	454	16	,	,	PUNCT
ejpam-6355	454	17	n.j	n.j	PROPN
ejpam-6355	454	18	.	.	PROPN
ejpam-6355	454	19	validated	validate	VERB
ejpam-6355	454	20	the	the	DET
ejpam-6355	454	21	results	result	NOUN
ejpam-6355	454	22	,	,	PUNCT
ejpam-6355	454	23	conceptualization	conceptualization	NOUN
ejpam-6355	454	24	m.i.k	m.i.k	NOUN
ejpam-6355	454	25	:	:	PUNCT
ejpam-6355	454	26	writing	write	VERB
ejpam-6355	454	27	original	original	ADJ
ejpam-6355	454	28	draft	draft	NOUN
ejpam-6355	454	29	,	,	PUNCT
ejpam-6355	454	30	investigation	investigation	NOUN
ejpam-6355	454	31	,	,	PUNCT
ejpam-6355	454	32	conceptualization	conceptualization	NOUN
ejpam-6355	454	33	.	.	PUNCT
ejpam-6355	455	1	a.a	a.a	PROPN
ejpam-6355	455	2	.	.	PROPN
ejpam-6355	455	3	validated	validate	VERB
ejpam-6355	455	4	the	the	DET
ejpam-6355	455	5	results	result	NOUN
ejpam-6355	455	6	,	,	PUNCT
ejpam-6355	455	7	conceptualization	conceptualization	NOUN
ejpam-6355	455	8	,	,	PUNCT
ejpam-6355	455	9	software	software	NOUN
ejpam-6355	455	10	n.m	n.m	NOUN
ejpam-6355	455	11	:	:	PUNCT
ejpam-6355	455	12	supervision	supervision	NOUN
ejpam-6355	455	13	,	,	PUNCT
ejpam-6355	455	14	review	review	NOUN
ejpam-6355	455	15	manuscript	manuscript	NOUN
ejpam-6355	455	16	,	,	PUNCT
ejpam-6355	455	17	editing	edit	VERB
ejpam-6355	455	18	f.h	f.h	PROPN
ejpam-6355	455	19	:	:	PUNCT
ejpam-6355	455	20	validated	validate	VERB
ejpam-6355	455	21	the	the	DET
ejpam-6355	455	22	results	result	NOUN
ejpam-6355	455	23	,	,	PUNCT
ejpam-6355	455	24	review	review	NOUN
ejpam-6355	455	25	manuscript	manuscript	NOUN
ejpam-6355	455	26	,	,	PUNCT
ejpam-6355	455	27	editing	editing	NOUN
ejpam-6355	455	28	.	.	PUNCT
ejpam-6355	456	1	acknowledgements	acknowledgement	NOUN
ejpam-6355	456	2	the	the	DET
ejpam-6355	456	3	authors	author	NOUN
ejpam-6355	456	4	a.	a.	PROPN
ejpam-6355	456	5	aloqaily	aloqaily	ADV
ejpam-6355	456	6	,	,	PUNCT
ejpam-6355	456	7	n.	n.	PROPN
ejpam-6355	456	8	mlaiki	mlaiki	PROPN
ejpam-6355	456	9	and	and	CCONJ
ejpam-6355	456	10	f.	f.	PROPN
ejpam-6355	456	11	hasan	hasan	PROPN
ejpam-6355	456	12	would	would	AUX
ejpam-6355	456	13	like	like	VERB
ejpam-6355	456	14	to	to	PART
ejpam-6355	456	15	thank	thank	VERB
ejpam-6355	456	16	prince	prince	PROPN
ejpam-6355	456	17	sultan	sultan	PROPN
ejpam-6355	456	18	university	university	PROPN
ejpam-6355	456	19	for	for	ADP
ejpam-6355	456	20	paying	pay	VERB
ejpam-6355	456	21	the	the	DET
ejpam-6355	456	22	apc	apc	NOUN
ejpam-6355	456	23	and	and	CCONJ
ejpam-6355	456	24	for	for	ADP
ejpam-6355	456	25	the	the	DET
ejpam-6355	456	26	support	support	NOUN
ejpam-6355	456	27	through	through	ADP
ejpam-6355	456	28	the	the	DET
ejpam-6355	456	29	tas	tas	PROPN
ejpam-6355	456	30	research	research	NOUN
ejpam-6355	456	31	lab	lab	NOUN
ejpam-6355	456	32	.	.	PUNCT
ejpam-6355	457	1	availability	availability	NOUN
ejpam-6355	457	2	of	of	ADP
ejpam-6355	457	3	data	datum	NOUN
ejpam-6355	457	4	and	and	CCONJ
ejpam-6355	457	5	materials	material	NOUN
ejpam-6355	457	6	all	all	DET
ejpam-6355	457	7	the	the	DET
ejpam-6355	457	8	data	datum	NOUN
ejpam-6355	457	9	produced	produce	VERB
ejpam-6355	457	10	or	or	CCONJ
ejpam-6355	457	11	examined	examine	VERB
ejpam-6355	457	12	in	in	ADP
ejpam-6355	457	13	this	this	DET
ejpam-6355	457	14	study	study	NOUN
ejpam-6355	457	15	are	be	AUX
ejpam-6355	457	16	provided	provide	VERB
ejpam-6355	457	17	within	within	ADP
ejpam-6355	457	18	this	this	DET
ejpam-6355	457	19	article	article	NOUN
ejpam-6355	457	20	.	.	PUNCT
ejpam-6355	458	1	declarations	declaration	VERB
ejpam-6355	458	2	the	the	DET
ejpam-6355	458	3	authors	author	NOUN
ejpam-6355	458	4	state	state	VERB
ejpam-6355	458	5	that	that	SCONJ
ejpam-6355	458	6	there	there	PRON
ejpam-6355	458	7	are	be	VERB
ejpam-6355	458	8	no	no	DET
ejpam-6355	458	9	conflicts	conflict	NOUN
ejpam-6355	458	10	of	of	ADP
ejpam-6355	458	11	interest	interest	NOUN
ejpam-6355	458	12	.	.	PUNCT
ejpam-6355	459	1	references	reference	NOUN
ejpam-6355	459	2	[	[	X
ejpam-6355	459	3	1	1	NUM
ejpam-6355	459	4	]	]	X
ejpam-6355	459	5	jim	jim	PROPN
ejpam-6355	459	6	m	m	PROPN
ejpam-6355	459	7	cushing	cushe	VERB
ejpam-6355	459	8	.	.	PUNCT
ejpam-6355	459	9	integrodifferential	integrodifferential	ADJ
ejpam-6355	459	10	equations	equation	NOUN
ejpam-6355	459	11	and	and	CCONJ
ejpam-6355	459	12	delay	delay	NOUN
ejpam-6355	459	13	models	model	NOUN
ejpam-6355	459	14	in	in	ADP
ejpam-6355	459	15	population	population	NOUN
ejpam-6355	459	16	dynamics	dynamic	NOUN
ejpam-6355	459	17	,	,	PUNCT
ejpam-6355	459	18	volume	volume	NOUN
ejpam-6355	459	19	20	20	NUM
ejpam-6355	459	20	.	.	PUNCT
ejpam-6355	460	1	springer	springer	NOUN
ejpam-6355	460	2	science	science	PROPN
ejpam-6355	460	3	&	&	CCONJ
ejpam-6355	460	4	business	business	NOUN
ejpam-6355	460	5	media	medium	NOUN
ejpam-6355	460	6	,	,	PUNCT
ejpam-6355	460	7	2013	2013	NUM
ejpam-6355	460	8	.	.	PUNCT
ejpam-6355	461	1	[	[	X
ejpam-6355	461	2	2	2	X
ejpam-6355	461	3	]	]	X
ejpam-6355	461	4	cemil	cemil	NOUN
ejpam-6355	461	5	tunç	tunç	NOUN
ejpam-6355	461	6	and	and	CCONJ
ejpam-6355	461	7	osman	osman	ADJ
ejpam-6355	461	8	tunç.	tunç.	NOUN
ejpam-6355	461	9	on	on	ADP
ejpam-6355	461	10	behaviours	behaviour	NOUN
ejpam-6355	461	11	of	of	ADP
ejpam-6355	461	12	functional	functional	ADJ
ejpam-6355	461	13	volterra	volterra	PROPN
ejpam-6355	461	14	integrodifferential	integrodifferential	ADJ
ejpam-6355	461	15	equations	equation	NOUN
ejpam-6355	461	16	with	with	ADP
ejpam-6355	461	17	multiple	multiple	ADJ
ejpam-6355	461	18	time	time	NOUN
ejpam-6355	461	19	lags	lag	NOUN
ejpam-6355	461	20	.	.	PUNCT
ejpam-6355	462	1	journal	journal	PROPN
ejpam-6355	462	2	of	of	ADP
ejpam-6355	462	3	taibah	taibah	PROPN
ejpam-6355	462	4	university	university	PROPN
ejpam-6355	462	5	for	for	ADP
ejpam-6355	462	6	science	science	NOUN
ejpam-6355	462	7	,	,	PUNCT
ejpam-6355	462	8	12(2):173–179	12(2):173–179	PROPN
ejpam-6355	462	9	,	,	PUNCT
ejpam-6355	462	10	2018	2018	NUM
ejpam-6355	462	11	.	.	PUNCT
ejpam-6355	463	1	[	[	X
ejpam-6355	463	2	3	3	X
ejpam-6355	463	3	]	]	X
ejpam-6355	463	4	erkan	erkan	PROPN
ejpam-6355	463	5	cimen	cimen	PROPN
ejpam-6355	463	6	and	and	CCONJ
ejpam-6355	463	7	sabahattin	sabahattin	PROPN
ejpam-6355	463	8	yatar	yatar	PROPN
ejpam-6355	463	9	.	.	PUNCT
ejpam-6355	464	1	numerical	numerical	ADJ
ejpam-6355	464	2	solution	solution	NOUN
ejpam-6355	464	3	of	of	ADP
ejpam-6355	464	4	volterra	volterra	PROPN
ejpam-6355	464	5	integro	integro	PROPN
ejpam-6355	464	6	-	-	PUNCT
ejpam-6355	464	7	differential	differential	NOUN
ejpam-6355	464	8	equation	equation	NOUN
ejpam-6355	464	9	with	with	ADP
ejpam-6355	464	10	delay	delay	NOUN
ejpam-6355	464	11	.	.	PUNCT
ejpam-6355	465	1	j.	j.	PROPN
ejpam-6355	465	2	math	math	PROPN
ejpam-6355	465	3	.	.	PUNCT
ejpam-6355	466	1	comput	comput	NOUN
ejpam-6355	466	2	.	.	PUNCT
ejpam-6355	467	1	sci	sci	PROPN
ejpam-6355	467	2	,	,	PUNCT
ejpam-6355	467	3	20(3):255–263	20(3):255–263	NUM
ejpam-6355	467	4	,	,	PUNCT
ejpam-6355	467	5	2020	2020	NUM
ejpam-6355	467	6	.	.	PUNCT
ejpam-6355	468	1	[	[	X
ejpam-6355	468	2	4	4	NUM
ejpam-6355	468	3	]	]	X
ejpam-6355	468	4	arsalang	arsalang	PROPN
ejpam-6355	468	5	tang	tang	PROPN
ejpam-6355	468	6	.	.	PUNCT
ejpam-6355	469	1	analysis	analysis	NOUN
ejpam-6355	469	2	and	and	CCONJ
ejpam-6355	469	3	numerics	numeric	NOUN
ejpam-6355	469	4	of	of	ADP
ejpam-6355	469	5	delay	delay	PROPN
ejpam-6355	469	6	volterra	volterra	PROPN
ejpam-6355	469	7	integro	integro	PROPN
ejpam-6355	469	8	-	-	PUNCT
ejpam-6355	469	9	differential	differential	NOUN
ejpam-6355	469	10	equations	equation	NOUN
ejpam-6355	469	11	.	.	PUNCT
ejpam-6355	470	1	the	the	DET
ejpam-6355	470	2	university	university	PROPN
ejpam-6355	470	3	of	of	ADP
ejpam-6355	470	4	manchester	manchester	PROPN
ejpam-6355	470	5	(	(	PUNCT
ejpam-6355	470	6	united	united	ADJ
ejpam-6355	470	7	kingdom	kingdom	PROPN
ejpam-6355	470	8	)	)	PUNCT
ejpam-6355	470	9	,	,	PUNCT
ejpam-6355	470	10	1996	1996	NUM
ejpam-6355	470	11	.	.	PUNCT
ejpam-6355	471	1	[	[	X
ejpam-6355	471	2	5	5	NUM
ejpam-6355	471	3	]	]	PUNCT
ejpam-6355	471	4	zdzis	zdzis	NOUN
ejpam-6355	471	5	law	law	NOUN
ejpam-6355	471	6	jackiewicz	jackiewicz	NOUN
ejpam-6355	471	7	.	.	PUNCT
ejpam-6355	472	1	the	the	DET
ejpam-6355	472	2	numerical	numerical	ADJ
ejpam-6355	472	3	solution	solution	NOUN
ejpam-6355	472	4	of	of	ADP
ejpam-6355	472	5	volterra	volterra	PROPN
ejpam-6355	472	6	functional	functional	ADJ
ejpam-6355	472	7	differential	differential	NOUN
ejpam-6355	472	8	equations	equation	NOUN
ejpam-6355	472	9	of	of	ADP
ejpam-6355	472	10	neutral	neutral	ADJ
ejpam-6355	472	11	type	type	NOUN
ejpam-6355	472	12	.	.	PUNCT
ejpam-6355	473	1	siam	siam	PROPN
ejpam-6355	473	2	journal	journal	PROPN
ejpam-6355	473	3	on	on	ADP
ejpam-6355	473	4	numerical	numerical	ADJ
ejpam-6355	473	5	analysis	analysis	NOUN
ejpam-6355	473	6	,	,	PUNCT
ejpam-6355	473	7	18(4):615–626	18(4):615–626	NUM
ejpam-6355	473	8	,	,	PUNCT
ejpam-6355	473	9	1981	1981	NUM
ejpam-6355	473	10	.	.	PUNCT
ejpam-6355	474	1	kamran	kamran	PROPN
ejpam-6355	474	2	et	et	PROPN
ejpam-6355	474	3	al	al	PROPN
ejpam-6355	474	4	.	.	PUNCT
ejpam-6355	474	5	/	/	SYM
ejpam-6355	474	6	eur	eur	PROPN
ejpam-6355	474	7	.	.	PUNCT
ejpam-6355	475	1	j.	j.	PROPN
ejpam-6355	475	2	pure	pure	PROPN
ejpam-6355	475	3	appl	appl	PROPN
ejpam-6355	475	4	.	.	PROPN
ejpam-6355	475	5	math	math	PROPN
ejpam-6355	475	6	,	,	PUNCT
ejpam-6355	475	7	18	18	NUM
ejpam-6355	475	8	(	(	PUNCT
ejpam-6355	475	9	3	3	NUM
ejpam-6355	475	10	)	)	PUNCT
ejpam-6355	475	11	(	(	PUNCT
ejpam-6355	475	12	2025	2025	NUM
ejpam-6355	475	13	)	)	PUNCT
ejpam-6355	475	14	,	,	PUNCT
ejpam-6355	475	15	6355	6355	NUM
ejpam-6355	475	16	21	21	NUM
ejpam-6355	475	17	of	of	ADP
ejpam-6355	475	18	22	22	NUM
ejpam-6355	476	1	[	[	X
ejpam-6355	476	2	6	6	NUM
ejpam-6355	476	3	]	]	PUNCT
ejpam-6355	476	4	l	l	NOUN
ejpam-6355	476	5	mansouri	mansouri	PROPN
ejpam-6355	476	6	and	and	CCONJ
ejpam-6355	476	7	z	z	PROPN
ejpam-6355	476	8	azimzadeh	azimzadeh	PROPN
ejpam-6355	476	9	.	.	PUNCT
ejpam-6355	477	1	numerical	numerical	ADJ
ejpam-6355	477	2	solution	solution	NOUN
ejpam-6355	477	3	of	of	ADP
ejpam-6355	477	4	fractional	fractional	ADJ
ejpam-6355	477	5	delay	delay	NOUN
ejpam-6355	477	6	volterra	volterra	PROPN
ejpam-6355	477	7	integrodifferential	integrodifferential	PROPN
ejpam-6355	477	8	equations	equation	NOUN
ejpam-6355	477	9	by	by	ADP
ejpam-6355	477	10	bernstein	bernstein	PROPN
ejpam-6355	477	11	polynomials	polynomials	PROPN
ejpam-6355	477	12	.	.	PUNCT
ejpam-6355	478	1	mathematical	mathematical	ADJ
ejpam-6355	478	2	sciences	sciences	PROPN
ejpam-6355	478	3	,	,	PUNCT
ejpam-6355	478	4	17(4):455	17(4):455	NUM
ejpam-6355	478	5	–	–	PUNCT
ejpam-6355	478	6	466	466	NUM
ejpam-6355	478	7	,	,	PUNCT
ejpam-6355	478	8	2023	2023	NUM
ejpam-6355	478	9	.	.	PUNCT
ejpam-6355	479	1	[	[	X
ejpam-6355	479	2	7	7	X
ejpam-6355	479	3	]	]	X
ejpam-6355	479	4	wh	wh	VERB
ejpam-6355	479	5	enright	enright	NOUN
ejpam-6355	479	6	and	and	CCONJ
ejpam-6355	479	7	min	min	PROPN
ejpam-6355	479	8	hu	hu	PROPN
ejpam-6355	479	9	.	.	PROPN
ejpam-6355	479	10	continuous	continuous	ADJ
ejpam-6355	479	11	runge	runge	NOUN
ejpam-6355	479	12	-	-	PUNCT
ejpam-6355	479	13	kutta	kutta	NOUN
ejpam-6355	479	14	methods	method	NOUN
ejpam-6355	479	15	for	for	ADP
ejpam-6355	479	16	neutral	neutral	ADJ
ejpam-6355	479	17	volterra	volterra	PROPN
ejpam-6355	479	18	integro	integro	PROPN
ejpam-6355	479	19	-	-	PUNCT
ejpam-6355	479	20	differential	differential	NOUN
ejpam-6355	479	21	equations	equation	NOUN
ejpam-6355	479	22	with	with	ADP
ejpam-6355	479	23	delay	delay	NOUN
ejpam-6355	479	24	.	.	PUNCT
ejpam-6355	480	1	applied	apply	VERB
ejpam-6355	480	2	numerical	numerical	ADJ
ejpam-6355	480	3	mathematics	mathematic	NOUN
ejpam-6355	480	4	,	,	PUNCT
ejpam-6355	480	5	24(23):175–190	24(23):175–190	NUM
ejpam-6355	480	6	,	,	PUNCT
ejpam-6355	480	7	1997	1997	NUM
ejpam-6355	480	8	.	.	PUNCT
ejpam-6355	481	1	[	[	X
ejpam-6355	481	2	8	8	NUM
ejpam-6355	481	3	]	]	X
ejpam-6355	481	4	li	li	PROPN
ejpam-6355	481	5	zaidan	zaidan	PROPN
ejpam-6355	481	6	.	.	PUNCT
ejpam-6355	482	1	solving	solve	VERB
ejpam-6355	482	2	linear	linear	PROPN
ejpam-6355	482	3	delay	delay	PROPN
ejpam-6355	482	4	volterra	volterra	PROPN
ejpam-6355	482	5	integro	integro	PROPN
ejpam-6355	482	6	-	-	PUNCT
ejpam-6355	482	7	differential	differential	NOUN
ejpam-6355	482	8	equations	equation	NOUN
ejpam-6355	482	9	by	by	ADP
ejpam-6355	482	10	using	use	VERB
ejpam-6355	482	11	galerkin	galerkin	PROPN
ejpam-6355	482	12	’s	’s	PART
ejpam-6355	482	13	method	method	NOUN
ejpam-6355	482	14	with	with	ADP
ejpam-6355	482	15	bernstien	bernstien	PROPN
ejpam-6355	482	16	polynomial	polynomial	NOUN
ejpam-6355	482	17	.	.	PUNCT
ejpam-6355	483	1	j.	j.	PROPN
ejpam-6355	483	2	bablyon	bablyon	PROPN
ejpam-6355	483	3	appl	appl	PROPN
ejpam-6355	483	4	.	.	PUNCT
ejpam-6355	484	1	sci	sci	PROPN
ejpam-6355	484	2	,	,	PUNCT
ejpam-6355	484	3	20(5):1305–1313	20(5):1305–1313	NUM
ejpam-6355	484	4	,	,	PUNCT
ejpam-6355	484	5	2012	2012	NUM
ejpam-6355	484	6	.	.	PUNCT
ejpam-6355	485	1	[	[	X
ejpam-6355	485	2	9	9	NUM
ejpam-6355	485	3	]	]	X
ejpam-6355	485	4	wanyuan	wanyuan	NOUN
ejpam-6355	485	5	ming	ming	PROPN
ejpam-6355	485	6	and	and	CCONJ
ejpam-6355	485	7	chengming	chengming	PROPN
ejpam-6355	485	8	huang	huang	PROPN
ejpam-6355	485	9	.	.	PROPN
ejpam-6355	485	10	collocation	collocation	NOUN
ejpam-6355	485	11	methods	method	NOUN
ejpam-6355	485	12	for	for	ADP
ejpam-6355	485	13	volterra	volterra	NOUN
ejpam-6355	485	14	functional	functional	ADJ
ejpam-6355	485	15	integral	integral	ADJ
ejpam-6355	485	16	equations	equation	NOUN
ejpam-6355	485	17	with	with	ADP
ejpam-6355	485	18	non	non	ADJ
ejpam-6355	485	19	-	-	ADJ
ejpam-6355	485	20	vanishing	vanishing	ADJ
ejpam-6355	485	21	delays	delay	NOUN
ejpam-6355	485	22	.	.	PUNCT
ejpam-6355	486	1	applied	apply	VERB
ejpam-6355	486	2	mathematics	mathematic	NOUN
ejpam-6355	486	3	and	and	CCONJ
ejpam-6355	486	4	computation	computation	NOUN
ejpam-6355	486	5	,	,	PUNCT
ejpam-6355	486	6	296:198–214	296:198–214	NUM
ejpam-6355	486	7	,	,	PUNCT
ejpam-6355	486	8	2017	2017	NUM
ejpam-6355	486	9	.	.	PUNCT
ejpam-6355	487	1	[	[	X
ejpam-6355	487	2	10	10	NUM
ejpam-6355	487	3	]	]	X
ejpam-6355	487	4	hermann	hermann	PROPN
ejpam-6355	487	5	brunner	brunner	PROPN
ejpam-6355	487	6	.	.	PUNCT
ejpam-6355	488	1	recent	recent	ADJ
ejpam-6355	488	2	advances	advance	NOUN
ejpam-6355	488	3	in	in	ADP
ejpam-6355	488	4	the	the	DET
ejpam-6355	488	5	numerical	numerical	ADJ
ejpam-6355	488	6	analysis	analysis	NOUN
ejpam-6355	488	7	of	of	ADP
ejpam-6355	488	8	volterra	volterra	PROPN
ejpam-6355	488	9	functional	functional	ADJ
ejpam-6355	488	10	differential	differential	NOUN
ejpam-6355	488	11	equations	equation	NOUN
ejpam-6355	488	12	with	with	ADP
ejpam-6355	488	13	variable	variable	ADJ
ejpam-6355	488	14	delays	delay	NOUN
ejpam-6355	488	15	.	.	PUNCT
ejpam-6355	489	1	journal	journal	NOUN
ejpam-6355	489	2	of	of	ADP
ejpam-6355	489	3	computational	computational	ADJ
ejpam-6355	489	4	and	and	CCONJ
ejpam-6355	489	5	applied	applied	ADJ
ejpam-6355	489	6	mathematics	mathematic	NOUN
ejpam-6355	489	7	,	,	PUNCT
ejpam-6355	489	8	228(2):524–537	228(2):524–537	NUM
ejpam-6355	489	9	,	,	PUNCT
ejpam-6355	489	10	2009	2009	NUM
ejpam-6355	489	11	.	.	PUNCT
ejpam-6355	490	1	[	[	X
ejpam-6355	490	2	11	11	NUM
ejpam-6355	490	3	]	]	X
ejpam-6355	490	4	azzeddine	azzeddine	ADJ
ejpam-6355	490	5	bellour	bellour	PROPN
ejpam-6355	490	6	and	and	CCONJ
ejpam-6355	490	7	mahmoud	mahmoud	PROPN
ejpam-6355	490	8	bousselsal	bousselsal	PROPN
ejpam-6355	490	9	.	.	PUNCT
ejpam-6355	490	10	numerical	numerical	ADJ
ejpam-6355	490	11	solution	solution	NOUN
ejpam-6355	490	12	of	of	ADP
ejpam-6355	490	13	delay	delay	NOUN
ejpam-6355	490	14	integrodifferential	integrodifferential	ADJ
ejpam-6355	490	15	equations	equation	NOUN
ejpam-6355	490	16	by	by	ADP
ejpam-6355	490	17	using	use	VERB
ejpam-6355	490	18	taylor	taylor	PROPN
ejpam-6355	490	19	collocation	collocation	NOUN
ejpam-6355	490	20	method	method	NOUN
ejpam-6355	490	21	.	.	PUNCT
ejpam-6355	491	1	mathematical	mathematical	ADJ
ejpam-6355	491	2	methods	method	NOUN
ejpam-6355	491	3	in	in	ADP
ejpam-6355	491	4	the	the	DET
ejpam-6355	491	5	applied	apply	VERB
ejpam-6355	491	6	sciences	science	NOUN
ejpam-6355	491	7	,	,	PUNCT
ejpam-6355	491	8	37(10):1491–1506	37(10):1491–1506	NUM
ejpam-6355	491	9	,	,	PUNCT
ejpam-6355	491	10	2014	2014	NUM
ejpam-6355	491	11	.	.	PUNCT
ejpam-6355	492	1	[	[	X
ejpam-6355	492	2	12	12	NUM
ejpam-6355	492	3	]	]	X
ejpam-6355	492	4	shifeng	shifeng	PROPN
ejpam-6355	492	5	wu	wu	PROPN
ejpam-6355	492	6	and	and	CCONJ
ejpam-6355	492	7	siqing	siqing	PROPN
ejpam-6355	492	8	gan	gan	PROPN
ejpam-6355	492	9	.	.	PUNCT
ejpam-6355	493	1	errors	error	NOUN
ejpam-6355	493	2	of	of	ADP
ejpam-6355	493	3	linear	linear	ADJ
ejpam-6355	493	4	multistep	multistep	ADJ
ejpam-6355	493	5	methods	method	NOUN
ejpam-6355	493	6	for	for	ADP
ejpam-6355	493	7	singularly	singularly	ADV
ejpam-6355	493	8	perturbed	perturb	VERB
ejpam-6355	493	9	volterra	volterra	PROPN
ejpam-6355	493	10	delay	delay	PROPN
ejpam-6355	493	11	-	-	PUNCT
ejpam-6355	493	12	integro	integro	NOUN
ejpam-6355	493	13	-	-	PUNCT
ejpam-6355	493	14	differential	differential	NOUN
ejpam-6355	493	15	equations	equation	NOUN
ejpam-6355	493	16	.	.	PUNCT
ejpam-6355	494	1	mathematics	mathematic	NOUN
ejpam-6355	494	2	and	and	CCONJ
ejpam-6355	494	3	computers	computer	NOUN
ejpam-6355	494	4	in	in	ADP
ejpam-6355	494	5	simulation	simulation	NOUN
ejpam-6355	494	6	,	,	PUNCT
ejpam-6355	494	7	79(10):3148–3159	79(10):3148–3159	PROPN
ejpam-6355	494	8	,	,	PUNCT
ejpam-6355	494	9	2009	2009	NUM
ejpam-6355	494	10	.	.	PUNCT
ejpam-6355	495	1	[	[	X
ejpam-6355	495	2	13	13	NUM
ejpam-6355	495	3	]	]	PUNCT
ejpam-6355	495	4	ilhame	ilhame	NOUN
ejpam-6355	495	5	amirali	amirali	NOUN
ejpam-6355	495	6	and	and	CCONJ
ejpam-6355	495	7	hülya	hülya	NUM
ejpam-6355	495	8	acar	acar	NOUN
ejpam-6355	495	9	.	.	PUNCT
ejpam-6355	496	1	stability	stability	NOUN
ejpam-6355	496	2	inequalities	inequality	NOUN
ejpam-6355	496	3	and	and	CCONJ
ejpam-6355	496	4	numerical	numerical	ADJ
ejpam-6355	496	5	solution	solution	NOUN
ejpam-6355	496	6	for	for	ADP
ejpam-6355	496	7	neutral	neutral	ADJ
ejpam-6355	496	8	volterra	volterra	PROPN
ejpam-6355	496	9	delay	delay	PROPN
ejpam-6355	496	10	integro	integro	PROPN
ejpam-6355	496	11	-	-	PUNCT
ejpam-6355	496	12	differential	differential	NOUN
ejpam-6355	496	13	equation	equation	NOUN
ejpam-6355	496	14	.	.	PUNCT
ejpam-6355	497	1	journal	journal	PROPN
ejpam-6355	497	2	of	of	ADP
ejpam-6355	497	3	computational	computational	ADJ
ejpam-6355	497	4	and	and	CCONJ
ejpam-6355	497	5	applied	applied	ADJ
ejpam-6355	497	6	mathematics	mathematic	NOUN
ejpam-6355	497	7	,	,	PUNCT
ejpam-6355	497	8	436:115343	436:115343	NUM
ejpam-6355	497	9	,	,	PUNCT
ejpam-6355	497	10	2024	2024	NUM
ejpam-6355	497	11	.	.	PUNCT
ejpam-6355	498	1	[	[	X
ejpam-6355	498	2	14	14	NUM
ejpam-6355	498	3	]	]	SYM
ejpam-6355	498	4	fathalla	fathalla	NOUN
ejpam-6355	498	5	a	a	DET
ejpam-6355	498	6	rihan	rihan	NOUN
ejpam-6355	498	7	,	,	PUNCT
ejpam-6355	498	8	eid	eid	PROPN
ejpam-6355	498	9	h	h	PROPN
ejpam-6355	498	10	doha	doha	PROPN
ejpam-6355	498	11	,	,	PUNCT
ejpam-6355	498	12	mi	mi	PROPN
ejpam-6355	498	13	hassan	hassan	PROPN
ejpam-6355	498	14	,	,	PUNCT
ejpam-6355	498	15	and	and	CCONJ
ejpam-6355	498	16	nm2604744	nm2604744	ADJ
ejpam-6355	498	17	kamel	kamel	PROPN
ejpam-6355	498	18	.	.	PUNCT
ejpam-6355	499	1	numerical	numerical	PROPN
ejpam-6355	499	2	treatments	treatments	PROPN
ejpam-6355	499	3	for	for	ADP
ejpam-6355	499	4	volterra	volterra	PROPN
ejpam-6355	499	5	delay	delay	PROPN
ejpam-6355	499	6	integro	integro	PROPN
ejpam-6355	499	7	-	-	PUNCT
ejpam-6355	499	8	differential	differential	NOUN
ejpam-6355	499	9	equations	equation	NOUN
ejpam-6355	499	10	.	.	PUNCT
ejpam-6355	500	1	computational	computational	ADJ
ejpam-6355	500	2	methods	method	NOUN
ejpam-6355	500	3	in	in	ADP
ejpam-6355	500	4	applied	applied	ADJ
ejpam-6355	500	5	mathematics	mathematic	NOUN
ejpam-6355	500	6	,	,	PUNCT
ejpam-6355	500	7	9(3):292–318	9(3):292–318	NUM
ejpam-6355	500	8	,	,	PUNCT
ejpam-6355	500	9	2009	2009	NUM
ejpam-6355	500	10	.	.	PUNCT
ejpam-6355	501	1	[	[	X
ejpam-6355	501	2	15	15	NUM
ejpam-6355	501	3	]	]	X
ejpam-6355	501	4	igor	igor	NOUN
ejpam-6355	501	5	podlubny	podlubny	PROPN
ejpam-6355	501	6	.	.	PUNCT
ejpam-6355	502	1	fractional	fractional	ADJ
ejpam-6355	502	2	differential	differential	ADJ
ejpam-6355	502	3	equations	equation	NOUN
ejpam-6355	502	4	:	:	PUNCT
ejpam-6355	502	5	an	an	DET
ejpam-6355	502	6	introduction	introduction	NOUN
ejpam-6355	502	7	to	to	ADP
ejpam-6355	502	8	fractional	fractional	ADJ
ejpam-6355	502	9	derivatives	derivative	NOUN
ejpam-6355	502	10	,	,	PUNCT
ejpam-6355	502	11	fractional	fractional	ADJ
ejpam-6355	502	12	differential	differential	ADJ
ejpam-6355	502	13	equations	equation	NOUN
ejpam-6355	502	14	,	,	PUNCT
ejpam-6355	502	15	to	to	ADP
ejpam-6355	502	16	methods	method	NOUN
ejpam-6355	502	17	of	of	ADP
ejpam-6355	502	18	their	their	PRON
ejpam-6355	502	19	solution	solution	NOUN
ejpam-6355	502	20	and	and	CCONJ
ejpam-6355	502	21	some	some	PRON
ejpam-6355	502	22	of	of	ADP
ejpam-6355	502	23	their	their	PRON
ejpam-6355	502	24	applications	application	NOUN
ejpam-6355	502	25	,	,	PUNCT
ejpam-6355	502	26	volume	volume	NOUN
ejpam-6355	502	27	198	198	NUM
ejpam-6355	502	28	.	.	PUNCT
ejpam-6355	503	1	elsevier	elsevier	NOUN
ejpam-6355	503	2	,	,	PUNCT
ejpam-6355	503	3	1998	1998	NUM
ejpam-6355	503	4	.	.	PUNCT
ejpam-6355	504	1	[	[	X
ejpam-6355	504	2	16	16	NUM
ejpam-6355	504	3	]	]	PUNCT
ejpam-6355	504	4	fazal	fazal	PROPN
ejpam-6355	504	5	haq	haq	PROPN
ejpam-6355	504	6	,	,	PUNCT
ejpam-6355	504	7	kamal	kamal	PROPN
ejpam-6355	504	8	shah	shah	PROPN
ejpam-6355	504	9	,	,	PUNCT
ejpam-6355	504	10	ghaus	ghaus	PROPN
ejpam-6355	504	11	ur	ur	PROPN
ejpam-6355	504	12	rahman	rahman	PROPN
ejpam-6355	504	13	,	,	PUNCT
ejpam-6355	504	14	and	and	CCONJ
ejpam-6355	504	15	muhammad	muhammad	PROPN
ejpam-6355	504	16	shahzad	shahzad	PROPN
ejpam-6355	504	17	.	.	PUNCT
ejpam-6355	505	1	numerical	numerical	ADJ
ejpam-6355	505	2	solution	solution	NOUN
ejpam-6355	505	3	of	of	ADP
ejpam-6355	505	4	fractional	fractional	ADJ
ejpam-6355	505	5	order	order	NOUN
ejpam-6355	505	6	smoking	smoking	NOUN
ejpam-6355	505	7	model	model	NOUN
ejpam-6355	505	8	via	via	ADP
ejpam-6355	505	9	laplace	laplace	NOUN
ejpam-6355	505	10	adomian	adomian	NOUN
ejpam-6355	505	11	decomposition	decomposition	NOUN
ejpam-6355	505	12	method	method	NOUN
ejpam-6355	505	13	.	.	PUNCT
ejpam-6355	506	1	alexandria	alexandria	PROPN
ejpam-6355	506	2	engineering	engineering	PROPN
ejpam-6355	506	3	journal	journal	PROPN
ejpam-6355	506	4	,	,	PUNCT
ejpam-6355	506	5	57(2):1061–1069	57(2):1061–1069	NUM
ejpam-6355	506	6	,	,	PUNCT
ejpam-6355	506	7	2018	2018	NUM
ejpam-6355	506	8	.	.	PUNCT
ejpam-6355	507	1	[	[	X
ejpam-6355	507	2	17	17	NUM
ejpam-6355	507	3	]	]	PUNCT
ejpam-6355	507	4	fazal	fazal	PROPN
ejpam-6355	507	5	haq	haq	PROPN
ejpam-6355	507	6	,	,	PUNCT
ejpam-6355	507	7	kamal	kamal	PROPN
ejpam-6355	507	8	shah	shah	PROPN
ejpam-6355	507	9	,	,	PUNCT
ejpam-6355	507	10	asaf	asaf	PROPN
ejpam-6355	507	11	khan	khan	PROPN
ejpam-6355	507	12	,	,	PUNCT
ejpam-6355	507	13	muhammad	muhammad	PROPN
ejpam-6355	507	14	shahzad	shahzad	PROPN
ejpam-6355	507	15	,	,	PUNCT
ejpam-6355	507	16	and	and	CCONJ
ejpam-6355	507	17	ghaus	ghaus	PROPN
ejpam-6355	507	18	ur	ur	PROPN
ejpam-6355	507	19	rahman	rahman	PROPN
ejpam-6355	507	20	.	.	PUNCT
ejpam-6355	508	1	numerical	numerical	ADJ
ejpam-6355	508	2	solution	solution	NOUN
ejpam-6355	508	3	of	of	ADP
ejpam-6355	508	4	fractional	fractional	ADJ
ejpam-6355	508	5	order	order	NOUN
ejpam-6355	508	6	epidemic	epidemic	NOUN
ejpam-6355	508	7	model	model	NOUN
ejpam-6355	508	8	of	of	ADP
ejpam-6355	508	9	a	a	DET
ejpam-6355	508	10	vector	vector	NOUN
ejpam-6355	508	11	born	bear	VERB
ejpam-6355	508	12	disease	disease	NOUN
ejpam-6355	508	13	by	by	ADP
ejpam-6355	508	14	laplace	laplace	NOUN
ejpam-6355	508	15	adomian	adomian	NOUN
ejpam-6355	508	16	decomposition	decomposition	NOUN
ejpam-6355	508	17	method	method	NOUN
ejpam-6355	508	18	.	.	PUNCT
ejpam-6355	509	1	punjab	punjab	PROPN
ejpam-6355	509	2	university	university	PROPN
ejpam-6355	509	3	journal	journal	NOUN
ejpam-6355	509	4	of	of	ADP
ejpam-6355	509	5	mathematics	mathematic	NOUN
ejpam-6355	509	6	,	,	PUNCT
ejpam-6355	509	7	49(2):12–21	49(2):12–21	NUM
ejpam-6355	509	8	,	,	PUNCT
ejpam-6355	509	9	2017	2017	NUM
ejpam-6355	509	10	.	.	PUNCT
ejpam-6355	510	1	[	[	X
ejpam-6355	510	2	18	18	NUM
ejpam-6355	510	3	]	]	X
ejpam-6355	510	4	muhammad	muhammad	PROPN
ejpam-6355	510	5	asif	asif	PROPN
ejpam-6355	510	6	,	,	PUNCT
ejpam-6355	510	7	kamal	kamal	PROPN
ejpam-6355	510	8	shah	shah	NOUN
ejpam-6355	510	9	,	,	PUNCT
ejpam-6355	510	10	bahaaeldin	bahaaeldin	VERB
ejpam-6355	510	11	abdalla	abdalla	PROPN
ejpam-6355	510	12	,	,	PUNCT
ejpam-6355	510	13	thabet	thabet	ADJ
ejpam-6355	510	14	abdeljawad	abdeljawad	NOUN
ejpam-6355	510	15	,	,	PUNCT
ejpam-6355	510	16	et	et	PROPN
ejpam-6355	510	17	al	al	PROPN
ejpam-6355	510	18	.	.	PROPN
ejpam-6355	510	19	numerical	numerical	PROPN
ejpam-6355	510	20	solution	solution	NOUN
ejpam-6355	510	21	of	of	ADP
ejpam-6355	510	22	bagley	bagley	NOUN
ejpam-6355	510	23	–	–	PUNCT
ejpam-6355	510	24	torvik	torvik	NOUN
ejpam-6355	510	25	equation	equation	NOUN
ejpam-6355	510	26	including	include	VERB
ejpam-6355	510	27	atangana	atangana	PROPN
ejpam-6355	510	28	–	–	PUNCT
ejpam-6355	510	29	baleanu	baleanu	ADJ
ejpam-6355	510	30	derivative	derivative	NOUN
ejpam-6355	510	31	arising	arise	VERB
ejpam-6355	510	32	in	in	ADP
ejpam-6355	510	33	fluid	fluid	ADJ
ejpam-6355	510	34	mechanics	mechanic	NOUN
ejpam-6355	510	35	.	.	PUNCT
ejpam-6355	511	1	results	result	NOUN
ejpam-6355	511	2	in	in	ADP
ejpam-6355	511	3	physics	physics	NOUN
ejpam-6355	511	4	,	,	PUNCT
ejpam-6355	511	5	49:106468	49:106468	NOUN
ejpam-6355	511	6	,	,	PUNCT
ejpam-6355	511	7	2023	2023	NUM
ejpam-6355	511	8	.	.	PUNCT
ejpam-6355	512	1	[	[	X
ejpam-6355	512	2	19	19	NUM
ejpam-6355	512	3	]	]	X
ejpam-6355	512	4	brian	brian	PROPN
ejpam-6355	512	5	davies	davies	PROPN
ejpam-6355	512	6	and	and	CCONJ
ejpam-6355	512	7	brian	brian	PROPN
ejpam-6355	512	8	martin	martin	PROPN
ejpam-6355	512	9	.	.	PUNCT
ejpam-6355	513	1	numerical	numerical	ADJ
ejpam-6355	513	2	inversion	inversion	NOUN
ejpam-6355	513	3	of	of	ADP
ejpam-6355	513	4	the	the	DET
ejpam-6355	513	5	laplace	laplace	NOUN
ejpam-6355	513	6	transform	transform	NOUN
ejpam-6355	513	7	:	:	PUNCT
ejpam-6355	513	8	a	a	DET
ejpam-6355	513	9	survey	survey	NOUN
ejpam-6355	513	10	and	and	CCONJ
ejpam-6355	513	11	comparison	comparison	NOUN
ejpam-6355	513	12	of	of	ADP
ejpam-6355	513	13	methods	method	NOUN
ejpam-6355	513	14	.	.	PUNCT
ejpam-6355	514	1	journal	journal	NOUN
ejpam-6355	514	2	of	of	ADP
ejpam-6355	514	3	computational	computational	ADJ
ejpam-6355	514	4	physics	physics	NOUN
ejpam-6355	514	5	,	,	PUNCT
ejpam-6355	514	6	33(1):1–32	33(1):1–32	NUM
ejpam-6355	514	7	,	,	PUNCT
ejpam-6355	514	8	1979	1979	NUM
ejpam-6355	514	9	.	.	PUNCT
ejpam-6355	515	1	kamran	kamran	PROPN
ejpam-6355	515	2	et	et	PROPN
ejpam-6355	515	3	al	al	PROPN
ejpam-6355	515	4	.	.	PUNCT
ejpam-6355	515	5	/	/	SYM
ejpam-6355	515	6	eur	eur	PROPN
ejpam-6355	515	7	.	.	PUNCT
ejpam-6355	516	1	j.	j.	PROPN
ejpam-6355	516	2	pure	pure	PROPN
ejpam-6355	516	3	appl	appl	PROPN
ejpam-6355	516	4	.	.	PROPN
ejpam-6355	516	5	math	math	PROPN
ejpam-6355	516	6	,	,	PUNCT
ejpam-6355	516	7	18	18	NUM
ejpam-6355	516	8	(	(	PUNCT
ejpam-6355	516	9	3	3	NUM
ejpam-6355	516	10	)	)	PUNCT
ejpam-6355	516	11	(	(	PUNCT
ejpam-6355	516	12	2025	2025	NUM
ejpam-6355	516	13	)	)	PUNCT
ejpam-6355	516	14	,	,	PUNCT
ejpam-6355	516	15	6355	6355	NUM
ejpam-6355	516	16	22	22	NUM
ejpam-6355	516	17	of	of	ADP
ejpam-6355	516	18	22	22	NUM
ejpam-6355	517	1	[	[	X
ejpam-6355	517	2	20	20	NUM
ejpam-6355	517	3	]	]	X
ejpam-6355	517	4	kamran	kamran	PROPN
ejpam-6355	517	5	,	,	PUNCT
ejpam-6355	517	6	ujala	ujala	PROPN
ejpam-6355	517	7	gul	gul	PROPN
ejpam-6355	517	8	,	,	PUNCT
ejpam-6355	517	9	fahad	fahad	PROPN
ejpam-6355	517	10	m	m	PROPN
ejpam-6355	517	11	alotaibi	alotaibi	PROPN
ejpam-6355	517	12	,	,	PUNCT
ejpam-6355	517	13	kamal	kamal	PROPN
ejpam-6355	517	14	shah	shah	NOUN
ejpam-6355	517	15	,	,	PUNCT
ejpam-6355	517	16	and	and	CCONJ
ejpam-6355	517	17	thabet	thabet	ADJ
ejpam-6355	517	18	abdeljawad	abdeljawad	NOUN
ejpam-6355	517	19	.	.	PUNCT
ejpam-6355	518	1	computational	computational	ADJ
ejpam-6355	518	2	approach	approach	NOUN
ejpam-6355	518	3	for	for	ADP
ejpam-6355	518	4	differential	differential	ADJ
ejpam-6355	518	5	equations	equation	NOUN
ejpam-6355	518	6	with	with	ADP
ejpam-6355	518	7	local	local	ADJ
ejpam-6355	518	8	and	and	CCONJ
ejpam-6355	518	9	nonlocal	nonlocal	ADJ
ejpam-6355	518	10	fractional	fractional	ADJ
ejpam-6355	518	11	-	-	PUNCT
ejpam-6355	518	12	order	order	NOUN
ejpam-6355	518	13	differential	differential	NOUN
ejpam-6355	518	14	operators	operator	NOUN
ejpam-6355	518	15	.	.	PUNCT
ejpam-6355	519	1	journal	journal	NOUN
ejpam-6355	519	2	of	of	ADP
ejpam-6355	519	3	mathematics	mathematic	NOUN
ejpam-6355	519	4	,	,	PUNCT
ejpam-6355	519	5	2023(1):6542787	2023(1):6542787	NUM
ejpam-6355	519	6	,	,	PUNCT
ejpam-6355	519	7	2023	2023	NUM
ejpam-6355	519	8	.	.	PUNCT
ejpam-6355	520	1	[	[	X
ejpam-6355	520	2	21	21	NUM
ejpam-6355	520	3	]	]	X
ejpam-6355	520	4	jac	jac	PROPN
ejpam-6355	520	5	weideman	weideman	NOUN
ejpam-6355	520	6	.	.	PUNCT
ejpam-6355	521	1	gauss	gauss	ADJ
ejpam-6355	521	2	–	–	PUNCT
ejpam-6355	521	3	hermite	hermite	ADJ
ejpam-6355	521	4	quadrature	quadrature	NOUN
ejpam-6355	521	5	for	for	ADP
ejpam-6355	521	6	the	the	DET
ejpam-6355	521	7	bromwich	bromwich	PROPN
ejpam-6355	521	8	integral	integral	PROPN
ejpam-6355	521	9	.	.	PUNCT
ejpam-6355	522	1	siam	siam	PROPN
ejpam-6355	522	2	journal	journal	PROPN
ejpam-6355	522	3	on	on	ADP
ejpam-6355	522	4	numerical	numerical	ADJ
ejpam-6355	522	5	analysis	analysis	NOUN
ejpam-6355	522	6	,	,	PUNCT
ejpam-6355	522	7	57(5):2200–2216	57(5):2200–2216	NUM
ejpam-6355	522	8	,	,	PUNCT
ejpam-6355	522	9	2019	2019	NUM
ejpam-6355	522	10	.	.	PUNCT
ejpam-6355	523	1	[	[	X
ejpam-6355	523	2	22	22	NUM
ejpam-6355	523	3	]	]	X
ejpam-6355	523	4	jacob	jacob	PROPN
ejpam-6355	523	5	andre	andre	PROPN
ejpam-6355	523	6	c	c	PROPN
ejpam-6355	523	7	weideman	weideman	NOUN
ejpam-6355	523	8	.	.	PUNCT
ejpam-6355	524	1	algorithms	algorithm	NOUN
ejpam-6355	524	2	for	for	ADP
ejpam-6355	524	3	parameter	parameter	NOUN
ejpam-6355	524	4	selection	selection	NOUN
ejpam-6355	524	5	in	in	ADP
ejpam-6355	524	6	the	the	DET
ejpam-6355	524	7	weeks	week	NOUN
ejpam-6355	524	8	method	method	NOUN
ejpam-6355	524	9	for	for	ADP
ejpam-6355	524	10	inverting	invert	VERB
ejpam-6355	524	11	the	the	DET
ejpam-6355	524	12	laplace	laplace	NOUN
ejpam-6355	524	13	transform	transform	NOUN
ejpam-6355	524	14	.	.	PUNCT
ejpam-6355	525	1	siam	siam	PROPN
ejpam-6355	525	2	journal	journal	PROPN
ejpam-6355	525	3	on	on	ADP
ejpam-6355	525	4	scientific	scientific	ADJ
ejpam-6355	525	5	computing	computing	NOUN
ejpam-6355	525	6	,	,	PUNCT
ejpam-6355	525	7	21(1):111–128	21(1):111–128	NOUN
ejpam-6355	525	8	,	,	PUNCT
ejpam-6355	525	9	1999	1999	NUM
ejpam-6355	525	10	.	.	PUNCT
ejpam-6355	526	1	[	[	X
ejpam-6355	526	2	23	23	NUM
ejpam-6355	526	3	]	]	X
ejpam-6355	526	4	kamal	kamal	PROPN
ejpam-6355	526	5	shah	shah	PROPN
ejpam-6355	526	6	,	,	PUNCT
ejpam-6355	526	7	muhammad	muhammad	PROPN
ejpam-6355	526	8	sher	sher	PROPN
ejpam-6355	526	9	,	,	PUNCT
ejpam-6355	526	10	muhammad	muhammad	PROPN
ejpam-6355	526	11	sarwar	sarwar	PROPN
ejpam-6355	526	12	,	,	PUNCT
ejpam-6355	526	13	and	and	CCONJ
ejpam-6355	526	14	thabet	thabet	ADJ
ejpam-6355	526	15	abdeljawad	abdeljawad	NOUN
ejpam-6355	526	16	.	.	PUNCT
ejpam-6355	527	1	analysis	analysis	NOUN
ejpam-6355	527	2	of	of	ADP
ejpam-6355	527	3	a	a	DET
ejpam-6355	527	4	nonlinear	nonlinear	ADJ
ejpam-6355	527	5	problem	problem	NOUN
ejpam-6355	527	6	involving	involve	VERB
ejpam-6355	527	7	discrete	discrete	ADJ
ejpam-6355	527	8	and	and	CCONJ
ejpam-6355	527	9	proportional	proportional	ADJ
ejpam-6355	527	10	delay	delay	NOUN
ejpam-6355	527	11	with	with	ADP
ejpam-6355	527	12	application	application	NOUN
ejpam-6355	527	13	to	to	ADP
ejpam-6355	527	14	houseflies	housefly	NOUN
ejpam-6355	527	15	model	model	NOUN
ejpam-6355	527	16	.	.	PUNCT
ejpam-6355	528	1	aims	aim	VERB
ejpam-6355	528	2	mathematics	mathematic	NOUN
ejpam-6355	528	3	,	,	PUNCT
ejpam-6355	528	4	9(3):7321–7339	9(3):7321–7339	PROPN
ejpam-6355	528	5	,	,	PUNCT
ejpam-6355	528	6	2024	2024	NUM
ejpam-6355	528	7	.	.	PUNCT
ejpam-6355	529	1	[	[	X
ejpam-6355	529	2	24	24	NUM
ejpam-6355	529	3	]	]	X
ejpam-6355	529	4	w	w	PROPN
ejpam-6355	529	5	barrett	barrett	PROPN
ejpam-6355	529	6	.	.	PUNCT
ejpam-6355	529	7	convergence	convergence	NOUN
ejpam-6355	529	8	properties	property	NOUN
ejpam-6355	529	9	of	of	ADP
ejpam-6355	529	10	gaussian	gaussian	ADJ
ejpam-6355	529	11	quadrature	quadrature	NOUN
ejpam-6355	529	12	formulae	formulae	NOUN
ejpam-6355	529	13	.	.	PUNCT
ejpam-6355	530	1	the	the	DET
ejpam-6355	530	2	computer	computer	NOUN
ejpam-6355	530	3	journal	journal	NOUN
ejpam-6355	530	4	,	,	PUNCT
ejpam-6355	530	5	3(4):272–277	3(4):272–277	PROPN
ejpam-6355	530	6	,	,	PUNCT
ejpam-6355	530	7	1961	1961	NUM
ejpam-6355	530	8	.	.	PUNCT
ejpam-6355	531	1	[	[	X
ejpam-6355	531	2	25	25	NUM
ejpam-6355	531	3	]	]	PUNCT
ejpam-6355	531	4	hidetosi	hidetosi	X
ejpam-6355	531	5	takahasi	takahasi	NOUN
ejpam-6355	531	6	and	and	CCONJ
ejpam-6355	531	7	masatake	masatake	VERB
ejpam-6355	531	8	mori	mori	PROPN
ejpam-6355	531	9	.	.	PUNCT
ejpam-6355	532	1	estimation	estimation	NOUN
ejpam-6355	532	2	of	of	ADP
ejpam-6355	532	3	errors	error	NOUN
ejpam-6355	532	4	in	in	ADP
ejpam-6355	532	5	the	the	DET
ejpam-6355	532	6	numerical	numerical	ADJ
ejpam-6355	532	7	quadrature	quadrature	NOUN
ejpam-6355	532	8	of	of	ADP
ejpam-6355	532	9	analytic	analytic	ADJ
ejpam-6355	532	10	functions	function	NOUN
ejpam-6355	532	11	.	.	PUNCT
ejpam-6355	533	1	applicable	applicable	ADJ
ejpam-6355	533	2	analysis	analysis	NOUN
ejpam-6355	533	3	,	,	PUNCT
ejpam-6355	533	4	1(3):201–229	1(3):201–229	NUM
ejpam-6355	533	5	,	,	PUNCT
ejpam-6355	533	6	1971	1971	NUM
ejpam-6355	533	7	.	.	PUNCT
ejpam-6355	534	1	[	[	X
ejpam-6355	534	2	26	26	NUM
ejpam-6355	534	3	]	]	X
ejpam-6355	534	4	arthur	arthur	PROPN
ejpam-6355	534	5	h	h	PROPN
ejpam-6355	534	6	stroud	stroud	PROPN
ejpam-6355	534	7	,	,	PUNCT
ejpam-6355	534	8	don	don	PROPN
ejpam-6355	534	9	secrest	secrest	PROPN
ejpam-6355	534	10	,	,	PUNCT
ejpam-6355	534	11	et	et	PROPN
ejpam-6355	534	12	al	al	PROPN
ejpam-6355	534	13	.	.	PUNCT
ejpam-6355	534	14	gaussian	gaussian	ADJ
ejpam-6355	534	15	quadrature	quadrature	NOUN
ejpam-6355	534	16	formulas	formula	NOUN
ejpam-6355	534	17	,	,	PUNCT
ejpam-6355	534	18	volume	volume	NOUN
ejpam-6355	534	19	374	374	NUM
ejpam-6355	534	20	.	.	PUNCT
ejpam-6355	534	21	prentice	prentice	NOUN
ejpam-6355	534	22	-	-	PUNCT
ejpam-6355	534	23	hall	hall	NOUN
ejpam-6355	534	24	englewood	englewood	PROPN
ejpam-6355	534	25	cliffs	cliffs	PROPN
ejpam-6355	534	26	,	,	PUNCT
ejpam-6355	534	27	nj	nj	PROPN
ejpam-6355	534	28	,	,	PUNCT
ejpam-6355	534	29	1966	1966	NUM
ejpam-6355	534	30	.	.	PUNCT
ejpam-6355	535	1	[	[	X
ejpam-6355	535	2	27	27	NUM
ejpam-6355	535	3	]	]	X
ejpam-6355	535	4	joseph	joseph	PROPN
ejpam-6355	535	5	abate	abate	PROPN
ejpam-6355	535	6	,	,	PUNCT
ejpam-6355	535	7	gagan	gagan	PROPN
ejpam-6355	535	8	l	l	PROPN
ejpam-6355	535	9	choudhury	choudhury	PROPN
ejpam-6355	535	10	,	,	PUNCT
ejpam-6355	535	11	and	and	CCONJ
ejpam-6355	535	12	ward	ward	NOUN
ejpam-6355	535	13	whitt	whitt	NOUN
ejpam-6355	535	14	.	.	PUNCT
ejpam-6355	536	1	numerical	numerical	ADJ
ejpam-6355	536	2	inversion	inversion	NOUN
ejpam-6355	536	3	of	of	ADP
ejpam-6355	536	4	multidimensional	multidimensional	ADJ
ejpam-6355	536	5	laplace	laplace	NOUN
ejpam-6355	536	6	transforms	transform	VERB
ejpam-6355	536	7	by	by	ADP
ejpam-6355	536	8	the	the	DET
ejpam-6355	536	9	laguerre	laguerre	NOUN
ejpam-6355	536	10	method	method	NOUN
ejpam-6355	536	11	.	.	PUNCT
ejpam-6355	537	1	performance	performance	NOUN
ejpam-6355	537	2	evaluation	evaluation	NOUN
ejpam-6355	537	3	,	,	PUNCT
ejpam-6355	537	4	31(3	31(3	NUM
ejpam-6355	537	5	-	-	SYM
ejpam-6355	537	6	4):229–243	4):229–243	NUM
ejpam-6355	537	7	,	,	PUNCT
ejpam-6355	537	8	1998	1998	NUM
ejpam-6355	537	9	.	.	PUNCT
ejpam-6355	538	1	[	[	X
ejpam-6355	538	2	28	28	NUM
ejpam-6355	538	3	]	]	PUNCT
ejpam-6355	538	4	nur	nur	VERB
ejpam-6355	538	5	inshirah	inshirah	PROPN
ejpam-6355	538	6	naqiah	naqiah	PROPN
ejpam-6355	538	7	ismail	ismail	PROPN
ejpam-6355	538	8	and	and	CCONJ
ejpam-6355	538	9	zanariah	zanariah	PROPN
ejpam-6355	538	10	abdul	abdul	PROPN
ejpam-6355	538	11	majid	majid	PROPN
ejpam-6355	538	12	.	.	PUNCT
ejpam-6355	539	1	numerical	numerical	ADJ
ejpam-6355	539	2	solution	solution	NOUN
ejpam-6355	539	3	on	on	ADP
ejpam-6355	539	4	neutral	neutral	ADJ
ejpam-6355	539	5	delay	delay	PROPN
ejpam-6355	539	6	volterra	volterra	PROPN
ejpam-6355	539	7	integro	integro	PROPN
ejpam-6355	539	8	-	-	PUNCT
ejpam-6355	539	9	differential	differential	NOUN
ejpam-6355	539	10	equation	equation	NOUN
ejpam-6355	539	11	.	.	PUNCT
ejpam-6355	540	1	bulletin	bulletin	NOUN
ejpam-6355	540	2	of	of	ADP
ejpam-6355	540	3	the	the	DET
ejpam-6355	540	4	malaysian	malaysian	PROPN
ejpam-6355	540	5	mathematical	mathematical	PROPN
ejpam-6355	540	6	sciences	sciences	PROPN
ejpam-6355	540	7	society	society	NOUN
ejpam-6355	540	8	,	,	PUNCT
ejpam-6355	540	9	47(3):85	47(3):85	PROPN
ejpam-6355	540	10	,	,	PUNCT
ejpam-6355	540	11	2024	2024	NUM
ejpam-6355	540	12	.	.	PUNCT
ejpam-6355	541	1	[	[	X
ejpam-6355	541	2	29	29	NUM
ejpam-6355	541	3	]	]	PUNCT
ejpam-6355	541	4	nur	nur	VERB
ejpam-6355	541	5	inshirah	inshirah	PROPN
ejpam-6355	541	6	naqiah	naqiah	PROPN
ejpam-6355	541	7	ismail	ismail	PROPN
ejpam-6355	541	8	,	,	PUNCT
ejpam-6355	541	9	zanariah	zanariah	PROPN
ejpam-6355	541	10	abdul	abdul	PROPN
ejpam-6355	541	11	majid	majid	PROPN
ejpam-6355	541	12	,	,	PUNCT
ejpam-6355	541	13	norazak	norazak	NOUN
ejpam-6355	541	14	senu	senu	NOUN
ejpam-6355	541	15	,	,	PUNCT
ejpam-6355	541	16	and	and	CCONJ
ejpam-6355	541	17	nadihah	nadihah	ADJ
ejpam-6355	541	18	wahi	wahi	X
ejpam-6355	541	19	.	.	PUNCT
ejpam-6355	542	1	numerical	numerical	ADJ
ejpam-6355	542	2	method	method	NOUN
ejpam-6355	542	3	in	in	ADP
ejpam-6355	542	4	solving	solve	VERB
ejpam-6355	542	5	neutral	neutral	ADJ
ejpam-6355	542	6	and	and	CCONJ
ejpam-6355	542	7	retarded	retarded	ADJ
ejpam-6355	542	8	volterra	volterra	NOUN
ejpam-6355	542	9	delay	delay	VERB
ejpam-6355	542	10	integrodifferential	integrodifferential	ADJ
ejpam-6355	542	11	equations	equation	NOUN
ejpam-6355	542	12	.	.	PUNCT
ejpam-6355	543	1	in	in	ADP
ejpam-6355	543	2	journal	journal	PROPN
ejpam-6355	543	3	of	of	ADP
ejpam-6355	543	4	physics	physics	PROPN
ejpam-6355	543	5	:	:	PUNCT
ejpam-6355	543	6	conference	conference	NOUN
ejpam-6355	543	7	series	series	NOUN
ejpam-6355	543	8	,	,	PUNCT
ejpam-6355	543	9	volume	volume	NOUN
ejpam-6355	543	10	1988	1988	NUM
ejpam-6355	543	11	,	,	PUNCT
ejpam-6355	543	12	page	page	NOUN
ejpam-6355	543	13	012033	012033	NUM
ejpam-6355	543	14	.	.	PUNCT
ejpam-6355	544	1	iop	iop	PROPN
ejpam-6355	544	2	publishing	publishing	NOUN
ejpam-6355	544	3	,	,	PUNCT
ejpam-6355	544	4	2021	2021	NUM
ejpam-6355	544	5	.	.	PUNCT
ejpam-6355	545	1	[	[	X
ejpam-6355	545	2	30	30	NUM
ejpam-6355	545	3	]	]	X
ejpam-6355	545	4	aman	aman	NOUN
ejpam-6355	545	5	jhinga	jhinga	PROPN
ejpam-6355	545	6	,	,	PUNCT
ejpam-6355	545	7	jayvant	jayvant	PROPN
ejpam-6355	545	8	patade	patade	PROPN
ejpam-6355	545	9	,	,	PUNCT
ejpam-6355	545	10	and	and	CCONJ
ejpam-6355	545	11	varsha	varsha	PROPN
ejpam-6355	545	12	daftardar	daftardar	NOUN
ejpam-6355	545	13	-	-	PUNCT
ejpam-6355	545	14	gejji	gejji	NOUN
ejpam-6355	545	15	.	.	PUNCT
ejpam-6355	546	1	solving	solve	VERB
ejpam-6355	546	2	volterra	volterra	NOUN
ejpam-6355	546	3	integrodifferential	integrodifferential	ADJ
ejpam-6355	546	4	equations	equation	NOUN
ejpam-6355	546	5	involving	involve	VERB
ejpam-6355	546	6	delay	delay	NOUN
ejpam-6355	546	7	:	:	PUNCT
ejpam-6355	546	8	a	a	DET
ejpam-6355	546	9	new	new	ADJ
ejpam-6355	546	10	higher	high	ADJ
ejpam-6355	546	11	order	order	NOUN
ejpam-6355	546	12	numerical	numerical	ADJ
ejpam-6355	546	13	method	method	NOUN
ejpam-6355	546	14	.	.	PUNCT
ejpam-6355	547	1	arxiv	arxiv	PROPN
ejpam-6355	547	2	preprint	preprint	PROPN
ejpam-6355	547	3	arxiv:2009.11571	arxiv:2009.11571	PROPN
ejpam-6355	547	4	,	,	PUNCT
ejpam-6355	547	5	2020	2020	NUM
ejpam-6355	547	6	.	.	PUNCT