id	sid	tid	token	lemma	pos
ejpam-6970	1	1	european	european	PROPN
ejpam-6970	1	2	journal	journal	PROPN
ejpam-6970	1	3	of	of	ADP
ejpam-6970	1	4	pure	pure	ADJ
ejpam-6970	1	5	and	and	CCONJ
ejpam-6970	1	6	applied	applied	ADJ
ejpam-6970	1	7	mathematics	mathematic	NOUN
ejpam-6970	1	8	2025	2025	NUM
ejpam-6970	1	9	,	,	PUNCT
ejpam-6970	1	10	vol	vol	NOUN
ejpam-6970	1	11	.	.	PROPN
ejpam-6970	1	12	18	18	NUM
ejpam-6970	1	13	,	,	PUNCT
ejpam-6970	1	14	issue	issue	NOUN
ejpam-6970	1	15	4	4	NUM
ejpam-6970	1	16	,	,	PUNCT
ejpam-6970	1	17	article	article	NOUN
ejpam-6970	1	18	number	number	NOUN
ejpam-6970	1	19	6970	6970	NUM
ejpam-6970	1	20	issn	issn	PROPN
ejpam-6970	1	21	1307	1307	NUM
ejpam-6970	1	22	-	-	SYM
ejpam-6970	1	23	5543	5543	NUM
ejpam-6970	1	24	–	–	PUNCT
ejpam-6970	1	25	ejpam.com	ejpam.com	X
ejpam-6970	1	26	published	publish	VERB
ejpam-6970	1	27	by	by	ADP
ejpam-6970	1	28	new	new	PROPN
ejpam-6970	1	29	york	york	PROPN
ejpam-6970	1	30	business	business	PROPN
ejpam-6970	1	31	global	global	PROPN
ejpam-6970	1	32	numerical	numerical	PROPN
ejpam-6970	1	33	scheme	scheme	NOUN
ejpam-6970	1	34	for	for	ADP
ejpam-6970	1	35	fractional	fractional	PROPN
ejpam-6970	1	36	volterra	volterra	PROPN
ejpam-6970	1	37	integro	integro	PROPN
ejpam-6970	1	38	-	-	PUNCT
ejpam-6970	1	39	differential	differential	NOUN
ejpam-6970	1	40	equations	equation	NOUN
ejpam-6970	1	41	:	:	PUNCT
ejpam-6970	1	42	handling	handle	VERB
ejpam-6970	1	43	modified	modify	VERB
ejpam-6970	1	44	atangana	atangana	PROPN
ejpam-6970	1	45	-	-	PUNCT
ejpam-6970	1	46	baleanu	baleanu	PROPN
ejpam-6970	1	47	operators	operator	NOUN
ejpam-6970	1	48	kamran1,∗	kamran1,∗	PROPN
ejpam-6970	1	49	,	,	PUNCT
ejpam-6970	1	50	syed	syed	ADJ
ejpam-6970	1	51	musanif	musanif	NOUN
ejpam-6970	1	52	shah1	shah1	NOUN
ejpam-6970	1	53	,	,	PUNCT
ejpam-6970	1	54	fady	fady	NOUN
ejpam-6970	1	55	hasan2,∗	hasan2,∗	PROPN
ejpam-6970	1	56	,	,	PUNCT
ejpam-6970	1	57	nabil	nabil	PROPN
ejpam-6970	1	58	mlaiki2,∗	mlaiki2,∗	PROPN
ejpam-6970	1	59	1	1	NUM
ejpam-6970	1	60	department	department	NOUN
ejpam-6970	1	61	of	of	ADP
ejpam-6970	1	62	mathematics	mathematics	PROPN
ejpam-6970	1	63	,	,	PUNCT
ejpam-6970	1	64	islamia	islamia	PROPN
ejpam-6970	1	65	college	college	PROPN
ejpam-6970	1	66	peshawar	peshawar	PROPN
ejpam-6970	1	67	,	,	PUNCT
ejpam-6970	1	68	peshawar	peshawar	PROPN
ejpam-6970	1	69	25120	25120	NUM
ejpam-6970	1	70	,	,	PUNCT
ejpam-6970	1	71	khyber	khyber	PROPN
ejpam-6970	1	72	pakhtunkhwa	pakhtunkhwa	PROPN
ejpam-6970	1	73	,	,	PUNCT
ejpam-6970	1	74	pakistan	pakistan	PROPN
ejpam-6970	1	75	2	2	NUM
ejpam-6970	1	76	department	department	NOUN
ejpam-6970	1	77	of	of	ADP
ejpam-6970	1	78	mathematics	mathematic	NOUN
ejpam-6970	1	79	and	and	CCONJ
ejpam-6970	1	80	sciences	science	NOUN
ejpam-6970	1	81	,	,	PUNCT
ejpam-6970	1	82	prince	prince	PROPN
ejpam-6970	1	83	sultan	sultan	PROPN
ejpam-6970	1	84	university	university	PROPN
ejpam-6970	1	85	,	,	PUNCT
ejpam-6970	1	86	p.o	p.o	PROPN
ejpam-6970	1	87	.	.	PROPN
ejpam-6970	1	88	box	box	PROPN
ejpam-6970	1	89	66833	66833	NUM
ejpam-6970	1	90	,	,	PUNCT
ejpam-6970	1	91	riyadh	riyadh	PROPN
ejpam-6970	1	92	11586	11586	NUM
ejpam-6970	1	93	,	,	PUNCT
ejpam-6970	1	94	saudi	saudi	PROPN
ejpam-6970	1	95	arabia	arabia	PROPN
ejpam-6970	1	96	abstract	abstract	NOUN
ejpam-6970	1	97	.	.	PUNCT
ejpam-6970	2	1	this	this	DET
ejpam-6970	2	2	study	study	NOUN
ejpam-6970	2	3	presents	present	VERB
ejpam-6970	2	4	a	a	DET
ejpam-6970	2	5	comparative	comparative	ADJ
ejpam-6970	2	6	numerical	numerical	ADJ
ejpam-6970	2	7	investigation	investigation	NOUN
ejpam-6970	2	8	of	of	ADP
ejpam-6970	2	9	volterra	volterra	PROPN
ejpam-6970	2	10	integro	integro	PROPN
ejpam-6970	2	11	-	-	PUNCT
ejpam-6970	2	12	differential	differential	NOUN
ejpam-6970	2	13	equations	equation	NOUN
ejpam-6970	2	14	(	(	PUNCT
ejpam-6970	2	15	vides	vide	NOUN
ejpam-6970	2	16	)	)	PUNCT
ejpam-6970	2	17	incorporating	incorporate	VERB
ejpam-6970	2	18	the	the	DET
ejpam-6970	2	19	modified	modified	ADJ
ejpam-6970	2	20	atangana	atangana	PROPN
ejpam-6970	2	21	-	-	PUNCT
ejpam-6970	2	22	baleanu	baleanu	ADJ
ejpam-6970	2	23	fractional	fractional	ADJ
ejpam-6970	2	24	derivative	derivative	NOUN
ejpam-6970	2	25	in	in	ADP
ejpam-6970	2	26	the	the	DET
ejpam-6970	2	27	caputo	caputo	PROPN
ejpam-6970	2	28	sense	sense	NOUN
ejpam-6970	2	29	.	.	PUNCT
ejpam-6970	3	1	fractional	fractional	ADJ
ejpam-6970	3	2	-	-	PUNCT
ejpam-6970	3	3	order	order	NOUN
ejpam-6970	3	4	vides	vide	NOUN
ejpam-6970	3	5	are	be	AUX
ejpam-6970	3	6	vital	vital	ADJ
ejpam-6970	3	7	for	for	ADP
ejpam-6970	3	8	modeling	model	VERB
ejpam-6970	3	9	phenomena	phenomenon	NOUN
ejpam-6970	3	10	in	in	ADP
ejpam-6970	3	11	biology	biology	NOUN
ejpam-6970	3	12	,	,	PUNCT
ejpam-6970	3	13	physics	physics	NOUN
ejpam-6970	3	14	,	,	PUNCT
ejpam-6970	3	15	and	and	CCONJ
ejpam-6970	3	16	engineering	engineering	NOUN
ejpam-6970	3	17	.	.	PUNCT
ejpam-6970	4	1	however	however	ADV
ejpam-6970	4	2	,	,	PUNCT
ejpam-6970	4	3	their	their	PRON
ejpam-6970	4	4	non	non	ADJ
ejpam-6970	4	5	-	-	ADJ
ejpam-6970	4	6	local	local	ADJ
ejpam-6970	4	7	nature	nature	NOUN
ejpam-6970	4	8	and	and	CCONJ
ejpam-6970	4	9	complexity	complexity	NOUN
ejpam-6970	4	10	often	often	ADV
ejpam-6970	4	11	preclude	preclude	VERB
ejpam-6970	4	12	analytical	analytical	ADJ
ejpam-6970	4	13	solutions	solution	NOUN
ejpam-6970	4	14	,	,	PUNCT
ejpam-6970	4	15	necessitating	necessitate	VERB
ejpam-6970	4	16	efficient	efficient	ADJ
ejpam-6970	4	17	numerical	numerical	ADJ
ejpam-6970	4	18	approaches	approach	NOUN
ejpam-6970	4	19	.	.	PUNCT
ejpam-6970	5	1	we	we	PRON
ejpam-6970	5	2	develop	develop	VERB
ejpam-6970	5	3	a	a	DET
ejpam-6970	5	4	numerical	numerical	ADJ
ejpam-6970	5	5	technique	technique	NOUN
ejpam-6970	5	6	based	base	VERB
ejpam-6970	5	7	on	on	ADP
ejpam-6970	5	8	the	the	DET
ejpam-6970	5	9	laplace	laplace	NOUN
ejpam-6970	5	10	transform	transform	NOUN
ejpam-6970	5	11	(	(	PUNCT
ejpam-6970	5	12	lt	lt	NOUN
ejpam-6970	5	13	)	)	PUNCT
ejpam-6970	5	14	.	.	PUNCT
ejpam-6970	6	1	the	the	DET
ejpam-6970	6	2	governing	govern	VERB
ejpam-6970	6	3	equation	equation	NOUN
ejpam-6970	6	4	is	be	AUX
ejpam-6970	6	5	first	first	ADV
ejpam-6970	6	6	transformed	transform	VERB
ejpam-6970	6	7	into	into	ADP
ejpam-6970	6	8	an	an	DET
ejpam-6970	6	9	algebraic	algebraic	ADJ
ejpam-6970	6	10	equation	equation	NOUN
ejpam-6970	6	11	in	in	ADP
ejpam-6970	6	12	the	the	DET
ejpam-6970	6	13	laplace	laplace	NOUN
ejpam-6970	6	14	domain	domain	NOUN
ejpam-6970	6	15	.	.	PUNCT
ejpam-6970	7	1	this	this	DET
ejpam-6970	7	2	transformed	transform	VERB
ejpam-6970	7	3	equation	equation	NOUN
ejpam-6970	7	4	is	be	AUX
ejpam-6970	7	5	solved	solve	VERB
ejpam-6970	7	6	algebraically	algebraically	ADV
ejpam-6970	7	7	,	,	PUNCT
ejpam-6970	7	8	and	and	CCONJ
ejpam-6970	7	9	the	the	DET
ejpam-6970	7	10	solution	solution	NOUN
ejpam-6970	7	11	is	be	AUX
ejpam-6970	7	12	then	then	ADV
ejpam-6970	7	13	numerically	numerically	ADV
ejpam-6970	7	14	inverted	invert	VERB
ejpam-6970	7	15	back	back	ADV
ejpam-6970	7	16	to	to	ADP
ejpam-6970	7	17	the	the	DET
ejpam-6970	7	18	time	time	NOUN
ejpam-6970	7	19	domain	domain	NOUN
ejpam-6970	7	20	.	.	PUNCT
ejpam-6970	8	1	two	two	NUM
ejpam-6970	8	2	highly	highly	ADV
ejpam-6970	8	3	effective	effective	ADJ
ejpam-6970	8	4	numerical	numerical	ADJ
ejpam-6970	8	5	methods	method	NOUN
ejpam-6970	8	6	are	be	AUX
ejpam-6970	8	7	employed	employ	VERB
ejpam-6970	8	8	for	for	ADP
ejpam-6970	8	9	inverting	invert	VERB
ejpam-6970	8	10	the	the	DET
ejpam-6970	8	11	laplace	laplace	NOUN
ejpam-6970	8	12	transform	transform	NOUN
ejpam-6970	8	13	:	:	PUNCT
ejpam-6970	8	14	the	the	DET
ejpam-6970	8	15	gauss	gauss	ADJ
ejpam-6970	8	16	-	-	PUNCT
ejpam-6970	8	17	hermite	hermite	ADJ
ejpam-6970	8	18	quadrature	quadrature	NOUN
ejpam-6970	8	19	and	and	CCONJ
ejpam-6970	8	20	the	the	DET
ejpam-6970	8	21	improved	improved	ADJ
ejpam-6970	8	22	talbot	talbot	PROPN
ejpam-6970	8	23	’s	’s	PART
ejpam-6970	8	24	method	method	NOUN
ejpam-6970	8	25	.	.	PUNCT
ejpam-6970	9	1	the	the	DET
ejpam-6970	9	2	efficacy	efficacy	NOUN
ejpam-6970	9	3	of	of	ADP
ejpam-6970	9	4	these	these	DET
ejpam-6970	9	5	inversion	inversion	NOUN
ejpam-6970	9	6	methods	method	NOUN
ejpam-6970	9	7	is	be	AUX
ejpam-6970	9	8	validated	validate	VERB
ejpam-6970	9	9	through	through	ADP
ejpam-6970	9	10	numerical	numerical	ADJ
ejpam-6970	9	11	experiments	experiment	NOUN
ejpam-6970	9	12	,	,	PUNCT
ejpam-6970	9	13	and	and	CCONJ
ejpam-6970	9	14	the	the	DET
ejpam-6970	9	15	results	result	NOUN
ejpam-6970	9	16	are	be	AUX
ejpam-6970	9	17	compared	compare	VERB
ejpam-6970	9	18	with	with	ADP
ejpam-6970	9	19	exact	exact	ADJ
ejpam-6970	9	20	solutions	solution	NOUN
ejpam-6970	9	21	.	.	PUNCT
ejpam-6970	10	1	our	our	PRON
ejpam-6970	10	2	findings	finding	NOUN
ejpam-6970	10	3	confirm	confirm	VERB
ejpam-6970	10	4	the	the	DET
ejpam-6970	10	5	convergence	convergence	NOUN
ejpam-6970	10	6	of	of	ADP
ejpam-6970	10	7	both	both	DET
ejpam-6970	10	8	methods	method	NOUN
ejpam-6970	10	9	.	.	PUNCT
ejpam-6970	11	1	the	the	DET
ejpam-6970	11	2	numerical	numerical	ADJ
ejpam-6970	11	3	results	result	NOUN
ejpam-6970	11	4	demonstrate	demonstrate	VERB
ejpam-6970	11	5	the	the	DET
ejpam-6970	11	6	adaptability	adaptability	NOUN
ejpam-6970	11	7	and	and	CCONJ
ejpam-6970	11	8	accuracy	accuracy	NOUN
ejpam-6970	11	9	of	of	ADP
ejpam-6970	11	10	the	the	DET
ejpam-6970	11	11	suggested	suggest	VERB
ejpam-6970	11	12	approaches	approach	NOUN
ejpam-6970	11	13	,	,	PUNCT
ejpam-6970	11	14	establishing	establish	VERB
ejpam-6970	11	15	them	they	PRON
ejpam-6970	11	16	as	as	ADP
ejpam-6970	11	17	promising	promise	VERB
ejpam-6970	11	18	tools	tool	NOUN
ejpam-6970	11	19	for	for	ADP
ejpam-6970	11	20	solving	solve	VERB
ejpam-6970	11	21	fractional	fractional	ADJ
ejpam-6970	11	22	vides	vide	NOUN
ejpam-6970	11	23	.	.	PUNCT
ejpam-6970	12	1	2020	2020	NUM
ejpam-6970	12	2	mathematics	mathematic	NOUN
ejpam-6970	12	3	subject	subject	NOUN
ejpam-6970	12	4	classifications	classification	NOUN
ejpam-6970	12	5	:	:	PUNCT
ejpam-6970	12	6	44a10	44a10	NUM
ejpam-6970	12	7	,	,	PUNCT
ejpam-6970	12	8	65r20	65r20	NUM
ejpam-6970	12	9	key	key	ADJ
ejpam-6970	12	10	words	word	NOUN
ejpam-6970	12	11	and	and	CCONJ
ejpam-6970	12	12	phrases	phrase	NOUN
ejpam-6970	12	13	:	:	PUNCT
ejpam-6970	12	14	modified	modify	VERB
ejpam-6970	12	15	atangana	atangana	PROPN
ejpam-6970	12	16	-	-	PUNCT
ejpam-6970	12	17	baleanu	baleanu	PROPN
ejpam-6970	12	18	-	-	PUNCT
ejpam-6970	12	19	caputo	caputo	PROPN
ejpam-6970	12	20	derivative	derivative	NOUN
ejpam-6970	12	21	,	,	PUNCT
ejpam-6970	12	22	volterra	volterra	PROPN
ejpam-6970	12	23	integrodifferential	integrodifferential	PROPN
ejpam-6970	12	24	equations	equation	NOUN
ejpam-6970	12	25	,	,	PUNCT
ejpam-6970	12	26	gauss	gauss	ADJ
ejpam-6970	12	27	-	-	PUNCT
ejpam-6970	12	28	hermite	hermite	ADJ
ejpam-6970	12	29	quadrature	quadrature	NOUN
ejpam-6970	12	30	,	,	PUNCT
ejpam-6970	12	31	talbot	talbot	PROPN
ejpam-6970	12	32	’s	’s	PART
ejpam-6970	12	33	method	method	NOUN
ejpam-6970	12	34	,	,	PUNCT
ejpam-6970	12	35	existence	existence	NOUN
ejpam-6970	12	36	theory	theory	NOUN
ejpam-6970	12	37	1	1	NUM
ejpam-6970	12	38	.	.	PUNCT
ejpam-6970	12	39	introduction	introduction	NOUN
ejpam-6970	12	40	fractional	fractional	ADJ
ejpam-6970	12	41	calculus	calculus	NOUN
ejpam-6970	12	42	(	(	PUNCT
ejpam-6970	12	43	fc	fc	PROPN
ejpam-6970	12	44	)	)	PUNCT
ejpam-6970	12	45	,	,	PUNCT
ejpam-6970	12	46	the	the	DET
ejpam-6970	12	47	branch	branch	NOUN
ejpam-6970	12	48	of	of	ADP
ejpam-6970	12	49	mathematics	mathematic	NOUN
ejpam-6970	12	50	focused	focus	VERB
ejpam-6970	12	51	on	on	ADP
ejpam-6970	12	52	fractional	fractional	ADJ
ejpam-6970	12	53	-	-	PUNCT
ejpam-6970	12	54	order	order	NOUN
ejpam-6970	12	55	operators	operator	NOUN
ejpam-6970	12	56	,	,	PUNCT
ejpam-6970	12	57	has	have	AUX
ejpam-6970	12	58	garnered	garner	VERB
ejpam-6970	12	59	considerable	considerable	ADJ
ejpam-6970	12	60	interest	interest	NOUN
ejpam-6970	12	61	recently	recently	ADV
ejpam-6970	12	62	due	due	ADP
ejpam-6970	12	63	to	to	ADP
ejpam-6970	12	64	its	its	PRON
ejpam-6970	12	65	immense	immense	ADJ
ejpam-6970	12	66	potential	potential	NOUN
ejpam-6970	12	67	for	for	ADP
ejpam-6970	12	68	modeling	model	VERB
ejpam-6970	12	69	complicated	complicated	ADJ
ejpam-6970	12	70	processes	process	NOUN
ejpam-6970	12	71	across	across	ADP
ejpam-6970	12	72	a	a	DET
ejpam-6970	12	73	variety	variety	NOUN
ejpam-6970	12	74	of	of	ADP
ejpam-6970	12	75	scientific	scientific	ADJ
ejpam-6970	12	76	fields	field	NOUN
ejpam-6970	12	77	.	.	PUNCT
ejpam-6970	13	1	this	this	DET
ejpam-6970	13	2	field	field	NOUN
ejpam-6970	13	3	extends	extend	VERB
ejpam-6970	13	4	standard	standard	ADJ
ejpam-6970	13	5	∗corresponding	∗corresponding	NOUN
ejpam-6970	13	6	author	author	NOUN
ejpam-6970	13	7	.	.	PUNCT
ejpam-6970	14	1	∗corresponding	∗corresponde	VERB
ejpam-6970	14	2	author	author	NOUN
ejpam-6970	14	3	.	.	PUNCT
ejpam-6970	15	1	∗corresponding	∗corresponde	VERB
ejpam-6970	15	2	author	author	NOUN
ejpam-6970	15	3	.	.	PUNCT
ejpam-6970	16	1	doi	doi	PROPN
ejpam-6970	16	2	:	:	PUNCT
ejpam-6970	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6970	https://doi.org/10.29020/nybg.ejpam.v18i4.6970	PROPN
ejpam-6970	16	4	email	email	NOUN
ejpam-6970	16	5	addresses	address	NOUN
ejpam-6970	16	6	:	:	PUNCT
ejpam-6970	16	7	kamran.maths@icp.edu.pk	kamran.maths@icp.edu.pk	PROPN
ejpam-6970	16	8	(	(	PUNCT
ejpam-6970	16	9	kamran	kamran	PROPN
ejpam-6970	16	10	)	)	PUNCT
ejpam-6970	16	11	,	,	PUNCT
ejpam-6970	16	12	fhasan@psu.edu.sa	fhasan@psu.edu.sa	PROPN
ejpam-6970	16	13	(	(	PUNCT
ejpam-6970	16	14	f.	f.	PROPN
ejpam-6970	16	15	hasan	hasan	PROPN
ejpam-6970	16	16	)	)	PUNCT
ejpam-6970	16	17	,	,	PUNCT
ejpam-6970	16	18	nmlaiki@psu.edu.sa	nmlaiki@psu.edu.sa	NOUN
ejpam-6970	16	19	,	,	PUNCT
ejpam-6970	16	20	nmlaiki2012@gmail.com	nmlaiki2012@gmail.com	PUNCT
ejpam-6970	17	1	(	(	PUNCT
ejpam-6970	17	2	n.	n.	PROPN
ejpam-6970	17	3	mlaiki	mlaiki	PROPN
ejpam-6970	17	4	)	)	PUNCT
ejpam-6970	17	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6970	18	1	1	1	NUM
ejpam-6970	18	2	copyright	copyright	NOUN
ejpam-6970	18	3	:	:	PUNCT
ejpam-6970	18	4	©	©	PROPN
ejpam-6970	18	5	2025	2025	NUM
ejpam-6970	18	6	the	the	DET
ejpam-6970	18	7	author(s	author(s	NOUN
ejpam-6970	18	8	)	)	PUNCT
ejpam-6970	18	9	.	.	PUNCT
ejpam-6970	19	1	(	(	PUNCT
ejpam-6970	19	2	cc	cc	NOUN
ejpam-6970	19	3	by	by	ADP
ejpam-6970	19	4	-	-	PUNCT
ejpam-6970	19	5	nc	nc	PROPN
ejpam-6970	19	6	4.0	4.0	NUM
ejpam-6970	19	7	)	)	PUNCT
ejpam-6970	19	8	kamran	kamran	PROPN
ejpam-6970	19	9	et	et	PROPN
ejpam-6970	19	10	al	al	PROPN
ejpam-6970	19	11	.	.	PUNCT
ejpam-6970	19	12	/	/	SYM
ejpam-6970	19	13	eur	eur	PROPN
ejpam-6970	19	14	.	.	PUNCT
ejpam-6970	20	1	j.	j.	PROPN
ejpam-6970	20	2	pure	pure	PROPN
ejpam-6970	20	3	appl	appl	PROPN
ejpam-6970	20	4	.	.	PROPN
ejpam-6970	20	5	math	math	PROPN
ejpam-6970	20	6	,	,	PUNCT
ejpam-6970	20	7	18	18	NUM
ejpam-6970	20	8	(	(	PUNCT
ejpam-6970	20	9	4	4	NUM
ejpam-6970	20	10	)	)	PUNCT
ejpam-6970	20	11	(	(	PUNCT
ejpam-6970	20	12	2025	2025	NUM
ejpam-6970	20	13	)	)	PUNCT
ejpam-6970	20	14	,	,	PUNCT
ejpam-6970	20	15	6970	6970	NUM
ejpam-6970	20	16	2	2	NUM
ejpam-6970	20	17	of	of	ADP
ejpam-6970	20	18	22	22	NUM
ejpam-6970	20	19	calculus	calculus	NOUN
ejpam-6970	20	20	by	by	ADP
ejpam-6970	20	21	including	include	VERB
ejpam-6970	20	22	non	non	ADJ
ejpam-6970	20	23	-	-	ADJ
ejpam-6970	20	24	integer	integer	ADJ
ejpam-6970	20	25	-	-	PUNCT
ejpam-6970	20	26	order	order	NOUN
ejpam-6970	20	27	derivatives	derivative	NOUN
ejpam-6970	20	28	and	and	CCONJ
ejpam-6970	20	29	integrals	integral	NOUN
ejpam-6970	20	30	,	,	PUNCT
ejpam-6970	20	31	which	which	PRON
ejpam-6970	20	32	allows	allow	VERB
ejpam-6970	20	33	for	for	ADP
ejpam-6970	20	34	more	more	ADV
ejpam-6970	20	35	realistic	realistic	ADJ
ejpam-6970	20	36	representations	representation	NOUN
ejpam-6970	20	37	of	of	ADP
ejpam-6970	20	38	systems	system	NOUN
ejpam-6970	20	39	with	with	ADP
ejpam-6970	20	40	memory	memory	NOUN
ejpam-6970	20	41	and	and	CCONJ
ejpam-6970	20	42	hereditary	hereditary	ADJ
ejpam-6970	20	43	properties	property	NOUN
ejpam-6970	20	44	.	.	PUNCT
ejpam-6970	21	1	for	for	ADP
ejpam-6970	21	2	instance	instance	NOUN
ejpam-6970	21	3	,	,	PUNCT
ejpam-6970	21	4	fc	fc	PROPN
ejpam-6970	21	5	enhances	enhance	VERB
ejpam-6970	21	6	market	market	NOUN
ejpam-6970	21	7	prediction	prediction	NOUN
ejpam-6970	21	8	models	model	NOUN
ejpam-6970	21	9	in	in	ADP
ejpam-6970	21	10	economics	economic	NOUN
ejpam-6970	21	11	by	by	ADP
ejpam-6970	21	12	capturing	capture	VERB
ejpam-6970	21	13	long	long	ADJ
ejpam-6970	21	14	-	-	PUNCT
ejpam-6970	21	15	term	term	NOUN
ejpam-6970	21	16	dependencies	dependency	NOUN
ejpam-6970	21	17	and	and	CCONJ
ejpam-6970	21	18	memory	memory	NOUN
ejpam-6970	21	19	effects	effect	NOUN
ejpam-6970	21	20	[	[	X
ejpam-6970	21	21	1	1	NUM
ejpam-6970	21	22	]	]	PUNCT
ejpam-6970	21	23	.	.	PUNCT
ejpam-6970	22	1	in	in	ADP
ejpam-6970	22	2	electromagnetic	electromagnetic	ADJ
ejpam-6970	22	3	theory	theory	NOUN
ejpam-6970	22	4	,	,	PUNCT
ejpam-6970	22	5	it	it	PRON
ejpam-6970	22	6	offers	offer	VERB
ejpam-6970	22	7	a	a	DET
ejpam-6970	22	8	deeper	deep	ADJ
ejpam-6970	22	9	understanding	understanding	NOUN
ejpam-6970	22	10	of	of	ADP
ejpam-6970	22	11	signal	signal	NOUN
ejpam-6970	22	12	processing	processing	NOUN
ejpam-6970	22	13	and	and	CCONJ
ejpam-6970	22	14	wave	wave	NOUN
ejpam-6970	22	15	propagation	propagation	NOUN
ejpam-6970	22	16	[	[	X
ejpam-6970	22	17	2	2	NUM
ejpam-6970	22	18	]	]	PUNCT
ejpam-6970	22	19	.	.	PUNCT
ejpam-6970	23	1	within	within	ADP
ejpam-6970	23	2	control	control	PROPN
ejpam-6970	23	3	theory	theory	NOUN
ejpam-6970	23	4	,	,	PUNCT
ejpam-6970	23	5	it	it	PRON
ejpam-6970	23	6	enables	enable	VERB
ejpam-6970	23	7	the	the	DET
ejpam-6970	23	8	design	design	NOUN
ejpam-6970	23	9	of	of	ADP
ejpam-6970	23	10	efficient	efficient	ADJ
ejpam-6970	23	11	and	and	CCONJ
ejpam-6970	23	12	adaptive	adaptive	ADJ
ejpam-6970	23	13	control	control	NOUN
ejpam-6970	23	14	systems	system	NOUN
ejpam-6970	23	15	[	[	X
ejpam-6970	23	16	3	3	NUM
ejpam-6970	23	17	]	]	PUNCT
ejpam-6970	23	18	,	,	PUNCT
ejpam-6970	23	19	and	and	CCONJ
ejpam-6970	23	20	for	for	ADP
ejpam-6970	23	21	viscoelastic	viscoelastic	ADJ
ejpam-6970	23	22	materials	material	NOUN
ejpam-6970	23	23	,	,	PUNCT
ejpam-6970	23	24	it	it	PRON
ejpam-6970	23	25	accurately	accurately	ADV
ejpam-6970	23	26	describes	describe	VERB
ejpam-6970	23	27	frequency	frequency	NOUN
ejpam-6970	23	28	-	-	PUNCT
ejpam-6970	23	29	dependent	dependent	ADJ
ejpam-6970	23	30	damping	damp	VERB
ejpam-6970	23	31	and	and	CCONJ
ejpam-6970	23	32	material	material	NOUN
ejpam-6970	23	33	behavior	behavior	NOUN
ejpam-6970	23	34	[	[	X
ejpam-6970	23	35	4	4	NUM
ejpam-6970	23	36	]	]	PUNCT
ejpam-6970	23	37	.	.	PUNCT
ejpam-6970	24	1	furthermore	furthermore	ADV
ejpam-6970	24	2	,	,	PUNCT
ejpam-6970	24	3	fc	fc	PROPN
ejpam-6970	24	4	supports	support	VERB
ejpam-6970	24	5	advanced	advanced	ADJ
ejpam-6970	24	6	control	control	NOUN
ejpam-6970	24	7	strategies	strategy	NOUN
ejpam-6970	24	8	in	in	ADP
ejpam-6970	24	9	robotics	robotic	NOUN
ejpam-6970	24	10	and	and	CCONJ
ejpam-6970	24	11	addresses	address	NOUN
ejpam-6970	24	12	complex	complex	ADJ
ejpam-6970	24	13	engineering	engineering	NOUN
ejpam-6970	24	14	challenges	challenge	NOUN
ejpam-6970	24	15	[	[	X
ejpam-6970	24	16	5–8	5–8	NOUN
ejpam-6970	24	17	]	]	PUNCT
ejpam-6970	24	18	.	.	PUNCT
ejpam-6970	25	1	equations	equation	NOUN
ejpam-6970	25	2	involving	involve	VERB
ejpam-6970	25	3	fractional	fractional	ADJ
ejpam-6970	25	4	-	-	PUNCT
ejpam-6970	25	5	order	order	NOUN
ejpam-6970	25	6	operators	operator	NOUN
ejpam-6970	25	7	allow	allow	VERB
ejpam-6970	25	8	for	for	ADP
ejpam-6970	25	9	the	the	DET
ejpam-6970	25	10	accurate	accurate	ADJ
ejpam-6970	25	11	analysis	analysis	NOUN
ejpam-6970	25	12	of	of	ADP
ejpam-6970	25	13	nonlocal	nonlocal	ADJ
ejpam-6970	25	14	and	and	CCONJ
ejpam-6970	25	15	memory	memory	NOUN
ejpam-6970	25	16	-	-	PUNCT
ejpam-6970	25	17	dependent	dependent	ADJ
ejpam-6970	25	18	processes	process	NOUN
ejpam-6970	25	19	,	,	PUNCT
ejpam-6970	25	20	overcoming	overcome	VERB
ejpam-6970	25	21	the	the	DET
ejpam-6970	25	22	limitations	limitation	NOUN
ejpam-6970	25	23	of	of	ADP
ejpam-6970	25	24	classical	classical	ADJ
ejpam-6970	25	25	calculus	calculus	NOUN
ejpam-6970	25	26	.	.	PUNCT
ejpam-6970	26	1	researchers	researcher	NOUN
ejpam-6970	26	2	have	have	AUX
ejpam-6970	26	3	developed	develop	VERB
ejpam-6970	26	4	a	a	DET
ejpam-6970	26	5	variety	variety	NOUN
ejpam-6970	26	6	of	of	ADP
ejpam-6970	26	7	analytical	analytical	ADJ
ejpam-6970	26	8	and	and	CCONJ
ejpam-6970	26	9	numerical	numerical	ADJ
ejpam-6970	26	10	methods	method	NOUN
ejpam-6970	26	11	for	for	ADP
ejpam-6970	26	12	solving	solve	VERB
ejpam-6970	26	13	such	such	ADJ
ejpam-6970	26	14	equations	equation	NOUN
ejpam-6970	26	15	.	.	PUNCT
ejpam-6970	27	1	notable	notable	ADJ
ejpam-6970	27	2	techniques	technique	NOUN
ejpam-6970	27	3	include	include	VERB
ejpam-6970	27	4	the	the	DET
ejpam-6970	27	5	sinc	sinc	ADJ
ejpam-6970	27	6	-	-	PUNCT
ejpam-6970	27	7	collocation	collocation	NOUN
ejpam-6970	27	8	method	method	NOUN
ejpam-6970	27	9	[	[	X
ejpam-6970	27	10	9	9	NUM
ejpam-6970	27	11	]	]	PUNCT
ejpam-6970	27	12	,	,	PUNCT
ejpam-6970	27	13	the	the	DET
ejpam-6970	27	14	legendre	legendre	PROPN
ejpam-6970	27	15	collocation	collocation	NOUN
ejpam-6970	27	16	method	method	NOUN
ejpam-6970	27	17	[	[	X
ejpam-6970	27	18	10	10	NUM
ejpam-6970	27	19	]	]	PUNCT
ejpam-6970	27	20	,	,	PUNCT
ejpam-6970	27	21	laguerre	laguerre	NOUN
ejpam-6970	27	22	polynomials	polynomial	VERB
ejpam-6970	27	23	[	[	X
ejpam-6970	27	24	11	11	NUM
ejpam-6970	27	25	]	]	PUNCT
ejpam-6970	27	26	,	,	PUNCT
ejpam-6970	27	27	the	the	DET
ejpam-6970	27	28	adomian	adomian	NOUN
ejpam-6970	27	29	decomposition	decomposition	NOUN
ejpam-6970	27	30	method	method	NOUN
ejpam-6970	27	31	[	[	X
ejpam-6970	27	32	12	12	NUM
ejpam-6970	27	33	,	,	PUNCT
ejpam-6970	27	34	13	13	NUM
ejpam-6970	27	35	]	]	PUNCT
ejpam-6970	27	36	,	,	PUNCT
ejpam-6970	27	37	the	the	DET
ejpam-6970	27	38	variational	variational	ADJ
ejpam-6970	27	39	iteration	iteration	NOUN
ejpam-6970	27	40	method	method	NOUN
ejpam-6970	27	41	[	[	X
ejpam-6970	27	42	14	14	NUM
ejpam-6970	27	43	]	]	PUNCT
ejpam-6970	27	44	,	,	PUNCT
ejpam-6970	27	45	and	and	CCONJ
ejpam-6970	27	46	the	the	DET
ejpam-6970	27	47	natural	natural	ADJ
ejpam-6970	27	48	transform	transform	NOUN
ejpam-6970	27	49	method	method	NOUN
ejpam-6970	27	50	[	[	X
ejpam-6970	27	51	15	15	NUM
ejpam-6970	27	52	]	]	PUNCT
ejpam-6970	27	53	.	.	PUNCT
ejpam-6970	28	1	these	these	DET
ejpam-6970	28	2	approaches	approach	NOUN
ejpam-6970	28	3	offer	offer	VERB
ejpam-6970	28	4	powerful	powerful	ADJ
ejpam-6970	28	5	tools	tool	NOUN
ejpam-6970	28	6	for	for	ADP
ejpam-6970	28	7	solving	solve	VERB
ejpam-6970	28	8	complex	complex	ADJ
ejpam-6970	28	9	fractional	fractional	ADJ
ejpam-6970	28	10	-	-	PUNCT
ejpam-6970	28	11	order	order	NOUN
ejpam-6970	28	12	systems	system	NOUN
ejpam-6970	28	13	.	.	PUNCT
ejpam-6970	29	1	fractional	fractional	ADJ
ejpam-6970	29	2	-	-	PUNCT
ejpam-6970	29	3	order	order	NOUN
ejpam-6970	29	4	volterra	volterra	NOUN
ejpam-6970	29	5	integro	integro	PROPN
ejpam-6970	29	6	-	-	PUNCT
ejpam-6970	29	7	differential	differential	NOUN
ejpam-6970	29	8	equations	equation	NOUN
ejpam-6970	29	9	(	(	PUNCT
ejpam-6970	29	10	fovides	fovide	NOUN
ejpam-6970	29	11	)	)	PUNCT
ejpam-6970	29	12	have	have	AUX
ejpam-6970	29	13	attracted	attract	VERB
ejpam-6970	29	14	considerable	considerable	ADJ
ejpam-6970	29	15	interest	interest	NOUN
ejpam-6970	29	16	due	due	ADP
ejpam-6970	29	17	to	to	ADP
ejpam-6970	29	18	their	their	PRON
ejpam-6970	29	19	capacity	capacity	NOUN
ejpam-6970	29	20	to	to	PART
ejpam-6970	29	21	model	model	VERB
ejpam-6970	29	22	memory	memory	NOUN
ejpam-6970	29	23	-	-	PUNCT
ejpam-6970	29	24	dependent	dependent	ADJ
ejpam-6970	29	25	processes	process	NOUN
ejpam-6970	29	26	,	,	PUNCT
ejpam-6970	29	27	such	such	ADJ
ejpam-6970	29	28	as	as	ADP
ejpam-6970	29	29	population	population	NOUN
ejpam-6970	29	30	growth	growth	NOUN
ejpam-6970	29	31	and	and	CCONJ
ejpam-6970	29	32	decay	decay	NOUN
ejpam-6970	29	33	,	,	PUNCT
ejpam-6970	29	34	viscoelasticity	viscoelasticity	NOUN
ejpam-6970	29	35	,	,	PUNCT
ejpam-6970	29	36	and	and	CCONJ
ejpam-6970	29	37	heat	heat	NOUN
ejpam-6970	29	38	conduction	conduction	NOUN
ejpam-6970	29	39	.	.	PUNCT
ejpam-6970	30	1	unlike	unlike	ADP
ejpam-6970	30	2	integer	integer	NOUN
ejpam-6970	30	3	-	-	PUNCT
ejpam-6970	30	4	order	order	NOUN
ejpam-6970	30	5	derivatives	derivative	NOUN
ejpam-6970	30	6	,	,	PUNCT
ejpam-6970	30	7	fractional	fractional	ADJ
ejpam-6970	30	8	derivatives	derivative	NOUN
ejpam-6970	30	9	incorporate	incorporate	VERB
ejpam-6970	30	10	historical	historical	ADJ
ejpam-6970	30	11	information	information	NOUN
ejpam-6970	30	12	and	and	CCONJ
ejpam-6970	30	13	introduce	introduce	VERB
ejpam-6970	30	14	memory	memory	NOUN
ejpam-6970	30	15	effects	effect	NOUN
ejpam-6970	30	16	,	,	PUNCT
ejpam-6970	30	17	which	which	PRON
ejpam-6970	30	18	enhances	enhance	VERB
ejpam-6970	30	19	modeling	modeling	NOUN
ejpam-6970	30	20	accuracy	accuracy	NOUN
ejpam-6970	30	21	but	but	CCONJ
ejpam-6970	30	22	increases	increase	VERB
ejpam-6970	30	23	the	the	DET
ejpam-6970	30	24	complexity	complexity	NOUN
ejpam-6970	30	25	of	of	ADP
ejpam-6970	30	26	finding	find	VERB
ejpam-6970	30	27	analytical	analytical	ADJ
ejpam-6970	30	28	solutions	solution	NOUN
ejpam-6970	30	29	.	.	PUNCT
ejpam-6970	31	1	hence	hence	ADV
ejpam-6970	31	2	,	,	PUNCT
ejpam-6970	31	3	developing	develop	VERB
ejpam-6970	31	4	efficient	efficient	ADJ
ejpam-6970	31	5	numerical	numerical	ADJ
ejpam-6970	31	6	methods	method	NOUN
ejpam-6970	31	7	is	be	AUX
ejpam-6970	31	8	necessary	necessary	ADJ
ejpam-6970	31	9	for	for	ADP
ejpam-6970	31	10	solving	solve	VERB
ejpam-6970	31	11	such	such	ADJ
ejpam-6970	31	12	problems	problem	NOUN
ejpam-6970	31	13	.	.	PUNCT
ejpam-6970	32	1	numerous	numerous	ADJ
ejpam-6970	32	2	numerical	numerical	ADJ
ejpam-6970	32	3	methods	method	NOUN
ejpam-6970	32	4	have	have	AUX
ejpam-6970	32	5	been	be	AUX
ejpam-6970	32	6	devised	devise	VERB
ejpam-6970	32	7	to	to	PART
ejpam-6970	32	8	obtain	obtain	VERB
ejpam-6970	32	9	solutions	solution	NOUN
ejpam-6970	32	10	for	for	ADP
ejpam-6970	32	11	fovides	fovide	NOUN
ejpam-6970	32	12	.	.	PUNCT
ejpam-6970	33	1	for	for	ADP
ejpam-6970	33	2	example	example	NOUN
ejpam-6970	33	3	,	,	PUNCT
ejpam-6970	33	4	the	the	DET
ejpam-6970	33	5	authors	author	NOUN
ejpam-6970	33	6	of	of	ADP
ejpam-6970	33	7	[	[	X
ejpam-6970	33	8	16	16	NUM
ejpam-6970	33	9	]	]	PUNCT
ejpam-6970	33	10	used	use	VERB
ejpam-6970	33	11	a	a	DET
ejpam-6970	33	12	bernoulli	bernoulli	NOUN
ejpam-6970	33	13	polynomials	polynomial	NOUN
ejpam-6970	33	14	approximation	approximation	NOUN
ejpam-6970	33	15	technique	technique	NOUN
ejpam-6970	33	16	to	to	PART
ejpam-6970	33	17	solve	solve	VERB
ejpam-6970	33	18	nonlinear	nonlinear	ADJ
ejpam-6970	33	19	fovides	fovide	NOUN
ejpam-6970	33	20	.	.	PUNCT
ejpam-6970	34	1	in	in	ADP
ejpam-6970	34	2	[	[	X
ejpam-6970	34	3	17	17	NUM
ejpam-6970	34	4	]	]	X
ejpam-6970	34	5	,	,	PUNCT
ejpam-6970	34	6	a	a	DET
ejpam-6970	34	7	numerical	numerical	ADJ
ejpam-6970	34	8	technique	technique	NOUN
ejpam-6970	34	9	based	base	VERB
ejpam-6970	34	10	on	on	ADP
ejpam-6970	34	11	legendre	legendre	PROPN
ejpam-6970	34	12	wavelets	wavelet	NOUN
ejpam-6970	34	13	was	be	AUX
ejpam-6970	34	14	proposed	propose	VERB
ejpam-6970	34	15	,	,	PUNCT
ejpam-6970	34	16	while	while	SCONJ
ejpam-6970	34	17	[	[	X
ejpam-6970	34	18	18	18	NUM
ejpam-6970	34	19	]	]	PUNCT
ejpam-6970	34	20	utilized	utilize	VERB
ejpam-6970	34	21	a	a	DET
ejpam-6970	34	22	rationalized	rationalized	ADJ
ejpam-6970	34	23	haar	haar	NOUN
ejpam-6970	34	24	wavelets	wavelet	NOUN
ejpam-6970	34	25	method	method	NOUN
ejpam-6970	34	26	for	for	ADP
ejpam-6970	34	27	a	a	DET
ejpam-6970	34	28	system	system	NOUN
ejpam-6970	34	29	of	of	ADP
ejpam-6970	34	30	fractional	fractional	ADJ
ejpam-6970	34	31	-	-	PUNCT
ejpam-6970	34	32	order	order	NOUN
ejpam-6970	34	33	fredholm	fredholm	NOUN
ejpam-6970	34	34	-	-	PUNCT
ejpam-6970	34	35	volterra	volterra	NOUN
ejpam-6970	34	36	ides	ide	NOUN
ejpam-6970	34	37	.	.	PUNCT
ejpam-6970	35	1	the	the	DET
ejpam-6970	35	2	reproducing	reproduce	VERB
ejpam-6970	35	3	kernel	kernel	NOUN
ejpam-6970	35	4	method	method	NOUN
ejpam-6970	35	5	was	be	AUX
ejpam-6970	35	6	applied	apply	VERB
ejpam-6970	35	7	to	to	ADP
ejpam-6970	35	8	fovides	fovide	NOUN
ejpam-6970	35	9	in	in	ADP
ejpam-6970	35	10	[	[	X
ejpam-6970	35	11	19	19	NUM
ejpam-6970	35	12	]	]	PUNCT
ejpam-6970	35	13	and	and	CCONJ
ejpam-6970	35	14	for	for	ADP
ejpam-6970	35	15	nonlinear	nonlinear	ADJ
ejpam-6970	35	16	cases	case	NOUN
ejpam-6970	35	17	in	in	ADP
ejpam-6970	35	18	[	[	X
ejpam-6970	35	19	20	20	NUM
ejpam-6970	35	20	]	]	PUNCT
ejpam-6970	35	21	.	.	PUNCT
ejpam-6970	36	1	a	a	DET
ejpam-6970	36	2	hybrid	hybrid	ADJ
ejpam-6970	36	3	numerical	numerical	ADJ
ejpam-6970	36	4	scheme	scheme	NOUN
ejpam-6970	36	5	was	be	AUX
ejpam-6970	36	6	developed	develop	VERB
ejpam-6970	36	7	for	for	ADP
ejpam-6970	36	8	fovides	fovide	NOUN
ejpam-6970	36	9	in	in	ADP
ejpam-6970	36	10	[	[	X
ejpam-6970	36	11	21	21	NUM
ejpam-6970	36	12	]	]	PUNCT
ejpam-6970	36	13	.	.	PUNCT
ejpam-6970	37	1	furthermore	furthermore	ADV
ejpam-6970	37	2	,	,	PUNCT
ejpam-6970	37	3	the	the	DET
ejpam-6970	37	4	authors	author	NOUN
ejpam-6970	37	5	of	of	ADP
ejpam-6970	37	6	[	[	X
ejpam-6970	37	7	22	22	NUM
ejpam-6970	37	8	]	]	PUNCT
ejpam-6970	37	9	developed	develop	VERB
ejpam-6970	37	10	the	the	DET
ejpam-6970	37	11	least	least	ADJ
ejpam-6970	37	12	squares	square	NOUN
ejpam-6970	37	13	and	and	CCONJ
ejpam-6970	37	14	shifted	shift	VERB
ejpam-6970	37	15	legendre	legendre	PROPN
ejpam-6970	37	16	methods	method	NOUN
ejpam-6970	37	17	,	,	PUNCT
ejpam-6970	37	18	and	and	CCONJ
ejpam-6970	37	19	the	the	DET
ejpam-6970	37	20	bernoulli	bernoulli	PROPN
ejpam-6970	37	21	wavelets	wavelet	NOUN
ejpam-6970	37	22	method	method	NOUN
ejpam-6970	37	23	was	be	AUX
ejpam-6970	37	24	utilized	utilize	VERB
ejpam-6970	37	25	in	in	ADP
ejpam-6970	37	26	[	[	X
ejpam-6970	37	27	23	23	NUM
ejpam-6970	37	28	]	]	PUNCT
ejpam-6970	37	29	.	.	PUNCT
ejpam-6970	38	1	finally	finally	ADV
ejpam-6970	38	2	,	,	PUNCT
ejpam-6970	38	3	a	a	DET
ejpam-6970	38	4	chebyshev	chebyshev	NOUN
ejpam-6970	38	5	technique	technique	NOUN
ejpam-6970	38	6	was	be	AUX
ejpam-6970	38	7	developed	develop	VERB
ejpam-6970	38	8	to	to	PART
ejpam-6970	38	9	solve	solve	VERB
ejpam-6970	38	10	a	a	DET
ejpam-6970	38	11	system	system	NOUN
ejpam-6970	38	12	of	of	ADP
ejpam-6970	38	13	fovides	fovide	NOUN
ejpam-6970	38	14	in	in	ADP
ejpam-6970	38	15	[	[	X
ejpam-6970	38	16	24	24	NUM
ejpam-6970	38	17	]	]	PUNCT
ejpam-6970	38	18	.	.	PUNCT
ejpam-6970	39	1	for	for	ADP
ejpam-6970	39	2	decades	decade	NOUN
ejpam-6970	39	3	,	,	PUNCT
ejpam-6970	39	4	researchers	researcher	NOUN
ejpam-6970	39	5	have	have	AUX
ejpam-6970	39	6	crafted	craft	VERB
ejpam-6970	39	7	different	different	ADJ
ejpam-6970	39	8	versions	version	NOUN
ejpam-6970	39	9	of	of	ADP
ejpam-6970	39	10	fractional	fractional	ADJ
ejpam-6970	39	11	-	-	PUNCT
ejpam-6970	39	12	order	order	NOUN
ejpam-6970	39	13	derivatives	derivative	NOUN
ejpam-6970	39	14	to	to	PART
ejpam-6970	39	15	capture	capture	VERB
ejpam-6970	39	16	the	the	DET
ejpam-6970	39	17	behavior	behavior	NOUN
ejpam-6970	39	18	of	of	ADP
ejpam-6970	39	19	systems	system	NOUN
ejpam-6970	39	20	with	with	ADP
ejpam-6970	39	21	memory	memory	NOUN
ejpam-6970	39	22	and	and	CCONJ
ejpam-6970	39	23	hereditary	hereditary	ADJ
ejpam-6970	39	24	properties	property	NOUN
ejpam-6970	39	25	more	more	ADV
ejpam-6970	39	26	accurately	accurately	ADV
ejpam-6970	39	27	.	.	PUNCT
ejpam-6970	40	1	the	the	DET
ejpam-6970	40	2	riemann	riemann	PROPN
ejpam-6970	40	3	-	-	PUNCT
ejpam-6970	40	4	liouville	liouville	PROPN
ejpam-6970	40	5	(	(	PUNCT
ejpam-6970	40	6	rl	rl	NOUN
ejpam-6970	40	7	)	)	PUNCT
ejpam-6970	40	8	and	and	CCONJ
ejpam-6970	40	9	caputo	caputo	PROPN
ejpam-6970	40	10	(	(	PUNCT
ejpam-6970	40	11	lc	lc	PROPN
ejpam-6970	40	12	)	)	PUNCT
ejpam-6970	40	13	definitions	definition	NOUN
ejpam-6970	40	14	of	of	ADP
ejpam-6970	40	15	fractional	fractional	ADJ
ejpam-6970	40	16	-	-	PUNCT
ejpam-6970	40	17	order	order	NOUN
ejpam-6970	40	18	derivatives	derivative	NOUN
ejpam-6970	40	19	emerged	emerge	VERB
ejpam-6970	40	20	as	as	ADP
ejpam-6970	40	21	early	early	ADJ
ejpam-6970	40	22	frontrunners	frontrunner	NOUN
ejpam-6970	40	23	and	and	CCONJ
ejpam-6970	40	24	remain	remain	VERB
ejpam-6970	40	25	among	among	ADP
ejpam-6970	40	26	the	the	DET
ejpam-6970	40	27	most	most	ADV
ejpam-6970	40	28	common	common	ADJ
ejpam-6970	40	29	today	today	NOUN
ejpam-6970	40	30	.	.	PUNCT
ejpam-6970	41	1	each	each	DET
ejpam-6970	41	2	derivative	derivative	NOUN
ejpam-6970	41	3	has	have	AUX
ejpam-6970	41	4	proven	prove	VERB
ejpam-6970	41	5	extremely	extremely	ADV
ejpam-6970	41	6	helpful	helpful	ADJ
ejpam-6970	41	7	in	in	ADP
ejpam-6970	41	8	practical	practical	ADJ
ejpam-6970	41	9	applications	application	NOUN
ejpam-6970	41	10	,	,	PUNCT
ejpam-6970	41	11	but	but	CCONJ
ejpam-6970	41	12	each	each	PRON
ejpam-6970	41	13	also	also	ADV
ejpam-6970	41	14	comes	come	VERB
ejpam-6970	41	15	with	with	ADP
ejpam-6970	41	16	its	its	PRON
ejpam-6970	41	17	own	own	ADJ
ejpam-6970	41	18	disadvantages	disadvantage	NOUN
ejpam-6970	41	19	.	.	PUNCT
ejpam-6970	42	1	for	for	ADP
ejpam-6970	42	2	example	example	NOUN
ejpam-6970	42	3	,	,	PUNCT
ejpam-6970	42	4	the	the	DET
ejpam-6970	42	5	rl	rl	PROPN
ejpam-6970	42	6	derivative	derivative	NOUN
ejpam-6970	42	7	requires	require	VERB
ejpam-6970	42	8	initial	initial	ADJ
ejpam-6970	42	9	conditions	condition	NOUN
ejpam-6970	42	10	to	to	PART
ejpam-6970	42	11	be	be	AUX
ejpam-6970	42	12	expressed	express	VERB
ejpam-6970	42	13	in	in	ADP
ejpam-6970	42	14	terms	term	NOUN
ejpam-6970	42	15	of	of	ADP
ejpam-6970	42	16	fractional	fractional	ADJ
ejpam-6970	42	17	integrals	integral	NOUN
ejpam-6970	42	18	,	,	PUNCT
ejpam-6970	42	19	which	which	PRON
ejpam-6970	42	20	can	can	AUX
ejpam-6970	42	21	be	be	AUX
ejpam-6970	42	22	challenging	challenge	VERB
ejpam-6970	42	23	to	to	PART
ejpam-6970	42	24	interpret	interpret	VERB
ejpam-6970	42	25	physically	physically	ADV
ejpam-6970	42	26	and	and	CCONJ
ejpam-6970	42	27	creates	create	VERB
ejpam-6970	42	28	hurdles	hurdle	NOUN
ejpam-6970	42	29	for	for	ADP
ejpam-6970	42	30	real	real	ADJ
ejpam-6970	42	31	-	-	PUNCT
ejpam-6970	42	32	world	world	NOUN
ejpam-6970	42	33	application	application	NOUN
ejpam-6970	42	34	.	.	PUNCT
ejpam-6970	43	1	the	the	DET
ejpam-6970	43	2	lc	lc	PROPN
ejpam-6970	43	3	derivative	derivative	NOUN
ejpam-6970	43	4	overcomes	overcome	VERB
ejpam-6970	43	5	this	this	DET
ejpam-6970	43	6	limitation	limitation	NOUN
ejpam-6970	43	7	by	by	ADP
ejpam-6970	43	8	using	use	VERB
ejpam-6970	43	9	integer	integer	NOUN
ejpam-6970	43	10	-	-	PUNCT
ejpam-6970	43	11	order	order	NOUN
ejpam-6970	43	12	initial	initial	ADJ
ejpam-6970	43	13	conditions	condition	NOUN
ejpam-6970	43	14	,	,	PUNCT
ejpam-6970	43	15	which	which	PRON
ejpam-6970	43	16	are	be	AUX
ejpam-6970	43	17	more	more	ADV
ejpam-6970	43	18	intuitive	intuitive	ADJ
ejpam-6970	43	19	.	.	PUNCT
ejpam-6970	44	1	however	however	ADV
ejpam-6970	44	2	,	,	PUNCT
ejpam-6970	44	3	the	the	DET
ejpam-6970	44	4	kernel	kernel	NOUN
ejpam-6970	44	5	of	of	ADP
ejpam-6970	44	6	the	the	DET
ejpam-6970	44	7	lc	lc	PROPN
ejpam-6970	44	8	derivative	derivative	NOUN
ejpam-6970	44	9	contains	contain	VERB
ejpam-6970	44	10	a	a	DET
ejpam-6970	44	11	singularity	singularity	NOUN
ejpam-6970	44	12	of	of	ADP
ejpam-6970	44	13	the	the	DET
ejpam-6970	44	14	form	form	NOUN
ejpam-6970	44	15	(	(	PUNCT
ejpam-6970	44	16	t	t	PROPN
ejpam-6970	44	17	−	−	PROPN
ejpam-6970	44	18	τ)−α	τ)−α	PROPN
ejpam-6970	44	19	,	,	PUNCT
ejpam-6970	44	20	which	which	PRON
ejpam-6970	44	21	can	can	AUX
ejpam-6970	44	22	cause	cause	VERB
ejpam-6970	44	23	serious	serious	ADJ
ejpam-6970	44	24	computational	computational	ADJ
ejpam-6970	44	25	difficulties	difficulty	NOUN
ejpam-6970	44	26	as	as	SCONJ
ejpam-6970	44	27	t	t	PROPN
ejpam-6970	44	28	approaches	approach	VERB
ejpam-6970	44	29	τ	τ	PROPN
ejpam-6970	44	30	.	.	PUNCT
ejpam-6970	45	1	kamran	kamran	PROPN
ejpam-6970	45	2	et	et	PROPN
ejpam-6970	45	3	al	al	PROPN
ejpam-6970	45	4	.	.	PUNCT
ejpam-6970	45	5	/	/	SYM
ejpam-6970	45	6	eur	eur	PROPN
ejpam-6970	45	7	.	.	PUNCT
ejpam-6970	46	1	j.	j.	PROPN
ejpam-6970	46	2	pure	pure	PROPN
ejpam-6970	46	3	appl	appl	PROPN
ejpam-6970	46	4	.	.	PROPN
ejpam-6970	46	5	math	math	PROPN
ejpam-6970	46	6	,	,	PUNCT
ejpam-6970	46	7	18	18	NUM
ejpam-6970	46	8	(	(	PUNCT
ejpam-6970	46	9	4	4	NUM
ejpam-6970	46	10	)	)	PUNCT
ejpam-6970	46	11	(	(	PUNCT
ejpam-6970	46	12	2025	2025	NUM
ejpam-6970	46	13	)	)	PUNCT
ejpam-6970	46	14	,	,	PUNCT
ejpam-6970	46	15	6970	6970	NUM
ejpam-6970	46	16	3	3	NUM
ejpam-6970	46	17	of	of	ADP
ejpam-6970	46	18	22	22	NUM
ejpam-6970	46	19	to	to	PART
ejpam-6970	46	20	overcome	overcome	VERB
ejpam-6970	46	21	these	these	DET
ejpam-6970	46	22	issues	issue	NOUN
ejpam-6970	46	23	,	,	PUNCT
ejpam-6970	46	24	caputo	caputo	PROPN
ejpam-6970	46	25	and	and	CCONJ
ejpam-6970	46	26	fabrizio	fabrizio	PROPN
ejpam-6970	46	27	introduced	introduce	VERB
ejpam-6970	46	28	a	a	DET
ejpam-6970	46	29	new	new	ADJ
ejpam-6970	46	30	derivative	derivative	NOUN
ejpam-6970	46	31	with	with	ADP
ejpam-6970	46	32	a	a	DET
ejpam-6970	46	33	nonsingular	nonsingular	ADJ
ejpam-6970	46	34	exponential	exponential	ADJ
ejpam-6970	46	35	kernel	kernel	NOUN
ejpam-6970	46	36	,	,	PUNCT
ejpam-6970	46	37	called	call	VERB
ejpam-6970	46	38	the	the	DET
ejpam-6970	46	39	caputo	caputo	PROPN
ejpam-6970	46	40	-	-	PUNCT
ejpam-6970	46	41	fabrizio	fabrizio	PROPN
ejpam-6970	46	42	(	(	PUNCT
ejpam-6970	46	43	cf	cf	NOUN
ejpam-6970	46	44	)	)	PUNCT
ejpam-6970	46	45	derivative	derivative	NOUN
ejpam-6970	47	1	[	[	X
ejpam-6970	47	2	25	25	NUM
ejpam-6970	47	3	]	]	PUNCT
ejpam-6970	47	4	.	.	PUNCT
ejpam-6970	48	1	however	however	ADV
ejpam-6970	48	2	,	,	PUNCT
ejpam-6970	48	3	this	this	DET
ejpam-6970	48	4	new	new	ADJ
ejpam-6970	48	5	derivative	derivative	NOUN
ejpam-6970	48	6	had	have	VERB
ejpam-6970	48	7	its	its	PRON
ejpam-6970	48	8	own	own	ADJ
ejpam-6970	48	9	limitation	limitation	NOUN
ejpam-6970	48	10	:	:	PUNCT
ejpam-6970	48	11	the	the	DET
ejpam-6970	48	12	rapid	rapid	ADJ
ejpam-6970	48	13	decay	decay	NOUN
ejpam-6970	48	14	of	of	ADP
ejpam-6970	48	15	its	its	PRON
ejpam-6970	48	16	exponential	exponential	ADJ
ejpam-6970	48	17	kernel	kernel	NOUN
ejpam-6970	48	18	restricts	restrict	VERB
ejpam-6970	48	19	the	the	DET
ejpam-6970	48	20	ability	ability	NOUN
ejpam-6970	48	21	to	to	PART
ejpam-6970	48	22	capture	capture	VERB
ejpam-6970	48	23	long	long	ADJ
ejpam-6970	48	24	-	-	PUNCT
ejpam-6970	48	25	term	term	NOUN
ejpam-6970	48	26	memory	memory	NOUN
ejpam-6970	48	27	effects	effect	NOUN
ejpam-6970	48	28	.	.	PUNCT
ejpam-6970	49	1	to	to	PART
ejpam-6970	49	2	circumvent	circumvent	VERB
ejpam-6970	49	3	this	this	DET
ejpam-6970	49	4	issue	issue	NOUN
ejpam-6970	49	5	,	,	PUNCT
ejpam-6970	49	6	atangana	atangana	PROPN
ejpam-6970	49	7	and	and	CCONJ
ejpam-6970	49	8	baleanu	baleanu	PROPN
ejpam-6970	49	9	introduced	introduce	VERB
ejpam-6970	49	10	a	a	DET
ejpam-6970	49	11	more	more	ADV
ejpam-6970	49	12	generalized	generalized	ADJ
ejpam-6970	49	13	derivative	derivative	NOUN
ejpam-6970	49	14	based	base	VERB
ejpam-6970	49	15	on	on	ADP
ejpam-6970	49	16	the	the	DET
ejpam-6970	49	17	mittag	mittag	ADJ
ejpam-6970	49	18	-	-	PUNCT
ejpam-6970	49	19	leffler	leffler	NOUN
ejpam-6970	49	20	(	(	PUNCT
ejpam-6970	49	21	ml	ml	NOUN
ejpam-6970	49	22	)	)	PUNCT
ejpam-6970	49	23	kernel	kernel	NOUN
ejpam-6970	50	1	[	[	X
ejpam-6970	50	2	26	26	NUM
ejpam-6970	50	3	]	]	PUNCT
ejpam-6970	50	4	.	.	PUNCT
ejpam-6970	51	1	unlike	unlike	ADP
ejpam-6970	51	2	the	the	DET
ejpam-6970	51	3	exponential	exponential	ADJ
ejpam-6970	51	4	kernel	kernel	NOUN
ejpam-6970	51	5	,	,	PUNCT
ejpam-6970	51	6	the	the	DET
ejpam-6970	51	7	ml	ml	PROPN
ejpam-6970	51	8	kernel	kernel	PROPN
ejpam-6970	51	9	decays	decay	VERB
ejpam-6970	51	10	slowly	slowly	ADV
ejpam-6970	51	11	,	,	PUNCT
ejpam-6970	51	12	enabling	enable	VERB
ejpam-6970	51	13	more	more	ADV
ejpam-6970	51	14	precise	precise	ADJ
ejpam-6970	51	15	modeling	modeling	NOUN
ejpam-6970	51	16	of	of	ADP
ejpam-6970	51	17	memory	memory	NOUN
ejpam-6970	51	18	effects	effect	NOUN
ejpam-6970	51	19	.	.	PUNCT
ejpam-6970	52	1	this	this	DET
ejpam-6970	52	2	derivative	derivative	NOUN
ejpam-6970	52	3	is	be	AUX
ejpam-6970	52	4	known	know	VERB
ejpam-6970	52	5	as	as	ADP
ejpam-6970	52	6	the	the	DET
ejpam-6970	52	7	atangana	atangana	PROPN
ejpam-6970	52	8	-	-	PUNCT
ejpam-6970	52	9	baleanu	baleanu	PROPN
ejpam-6970	52	10	(	(	PUNCT
ejpam-6970	52	11	ab	ab	NOUN
ejpam-6970	52	12	)	)	PUNCT
ejpam-6970	52	13	derivative	derivative	NOUN
ejpam-6970	52	14	and	and	CCONJ
ejpam-6970	52	15	is	be	AUX
ejpam-6970	52	16	defined	define	VERB
ejpam-6970	52	17	in	in	ADP
ejpam-6970	52	18	both	both	CCONJ
ejpam-6970	52	19	the	the	DET
ejpam-6970	52	20	rl	rl	PROPN
ejpam-6970	52	21	and	and	CCONJ
ejpam-6970	52	22	caputo	caputo	PROPN
ejpam-6970	52	23	senses	sense	NOUN
ejpam-6970	52	24	.	.	PUNCT
ejpam-6970	53	1	recently	recently	ADV
ejpam-6970	53	2	,	,	PUNCT
ejpam-6970	53	3	the	the	DET
ejpam-6970	53	4	authors	author	NOUN
ejpam-6970	53	5	of	of	ADP
ejpam-6970	53	6	[	[	X
ejpam-6970	53	7	27	27	NUM
ejpam-6970	53	8	]	]	PUNCT
ejpam-6970	53	9	proposed	propose	VERB
ejpam-6970	53	10	an	an	DET
ejpam-6970	53	11	extension	extension	NOUN
ejpam-6970	53	12	of	of	ADP
ejpam-6970	53	13	the	the	DET
ejpam-6970	53	14	abc	abc	PROPN
ejpam-6970	53	15	derivative	derivative	NOUN
ejpam-6970	53	16	,	,	PUNCT
ejpam-6970	53	17	called	call	VERB
ejpam-6970	53	18	the	the	DET
ejpam-6970	53	19	modified	modify	VERB
ejpam-6970	53	20	abc	abc	PROPN
ejpam-6970	53	21	(	(	PUNCT
ejpam-6970	53	22	mabc	mabc	PROPN
ejpam-6970	53	23	)	)	PUNCT
ejpam-6970	53	24	derivative	derivative	NOUN
ejpam-6970	53	25	.	.	PUNCT
ejpam-6970	54	1	their	their	PRON
ejpam-6970	54	2	work	work	NOUN
ejpam-6970	54	3	demonstrated	demonstrate	VERB
ejpam-6970	54	4	that	that	SCONJ
ejpam-6970	54	5	the	the	DET
ejpam-6970	54	6	mabc	mabc	PROPN
ejpam-6970	54	7	derivative	derivative	NOUN
ejpam-6970	54	8	can	can	AUX
ejpam-6970	54	9	solve	solve	VERB
ejpam-6970	54	10	a	a	DET
ejpam-6970	54	11	broader	broad	ADJ
ejpam-6970	54	12	class	class	NOUN
ejpam-6970	54	13	of	of	ADP
ejpam-6970	54	14	differential	differential	ADJ
ejpam-6970	54	15	equations	equation	NOUN
ejpam-6970	54	16	that	that	PRON
ejpam-6970	54	17	were	be	AUX
ejpam-6970	54	18	previously	previously	ADV
ejpam-6970	54	19	intractable	intractable	ADJ
ejpam-6970	54	20	under	under	ADP
ejpam-6970	54	21	the	the	DET
ejpam-6970	54	22	abc	abc	PROPN
ejpam-6970	54	23	formulation	formulation	NOUN
ejpam-6970	54	24	.	.	PUNCT
ejpam-6970	55	1	building	build	VERB
ejpam-6970	55	2	upon	upon	SCONJ
ejpam-6970	55	3	this	this	DET
ejpam-6970	55	4	advancement	advancement	NOUN
ejpam-6970	55	5	,	,	PUNCT
ejpam-6970	55	6	our	our	PRON
ejpam-6970	55	7	work	work	NOUN
ejpam-6970	55	8	focuses	focus	VERB
ejpam-6970	55	9	on	on	ADP
ejpam-6970	55	10	solving	solve	VERB
ejpam-6970	55	11	fovides	fovide	NOUN
ejpam-6970	55	12	that	that	PRON
ejpam-6970	55	13	incorporate	incorporate	VERB
ejpam-6970	55	14	the	the	DET
ejpam-6970	55	15	mabc	mabc	NOUN
ejpam-6970	55	16	derivative	derivative	NOUN
ejpam-6970	55	17	.	.	PUNCT
ejpam-6970	56	1	for	for	ADP
ejpam-6970	56	2	this	this	DET
ejpam-6970	56	3	purpose	purpose	NOUN
ejpam-6970	56	4	,	,	PUNCT
ejpam-6970	56	5	we	we	PRON
ejpam-6970	56	6	employ	employ	VERB
ejpam-6970	56	7	the	the	DET
ejpam-6970	56	8	laplace	laplace	NOUN
ejpam-6970	56	9	transform	transform	NOUN
ejpam-6970	56	10	method	method	NOUN
ejpam-6970	56	11	coupled	couple	VERB
ejpam-6970	56	12	with	with	ADP
ejpam-6970	56	13	numerical	numerical	ADJ
ejpam-6970	56	14	inversion	inversion	NOUN
ejpam-6970	56	15	techniques	technique	NOUN
ejpam-6970	56	16	.	.	PUNCT
ejpam-6970	57	1	specifically	specifically	ADV
ejpam-6970	57	2	,	,	PUNCT
ejpam-6970	57	3	we	we	PRON
ejpam-6970	57	4	use	use	VERB
ejpam-6970	57	5	two	two	NUM
ejpam-6970	57	6	established	establish	VERB
ejpam-6970	57	7	approaches	approach	NOUN
ejpam-6970	57	8	for	for	ADP
ejpam-6970	57	9	the	the	DET
ejpam-6970	57	10	numerical	numerical	ADJ
ejpam-6970	57	11	inversion	inversion	NOUN
ejpam-6970	57	12	of	of	ADP
ejpam-6970	57	13	the	the	DET
ejpam-6970	57	14	laplace	laplace	NOUN
ejpam-6970	57	15	transform	transform	NOUN
ejpam-6970	57	16	:	:	PUNCT
ejpam-6970	57	17	the	the	DET
ejpam-6970	57	18	gausshermite	gausshermite	ADJ
ejpam-6970	57	19	quadrature	quadrature	NOUN
ejpam-6970	57	20	method	method	NOUN
ejpam-6970	57	21	and	and	CCONJ
ejpam-6970	57	22	the	the	DET
ejpam-6970	57	23	improved	improved	ADJ
ejpam-6970	57	24	talbot	talbot	PROPN
ejpam-6970	57	25	’s	’s	PART
ejpam-6970	57	26	method	method	NOUN
ejpam-6970	57	27	,	,	PUNCT
ejpam-6970	57	28	ensuring	ensure	VERB
ejpam-6970	57	29	both	both	PRON
ejpam-6970	57	30	accuracy	accuracy	NOUN
ejpam-6970	57	31	and	and	CCONJ
ejpam-6970	57	32	computational	computational	ADJ
ejpam-6970	57	33	efficiency	efficiency	NOUN
ejpam-6970	57	34	.	.	PUNCT
ejpam-6970	58	1	1.1	1.1	NUM
ejpam-6970	58	2	.	.	PUNCT
ejpam-6970	59	1	preliminaries	preliminary	NOUN
ejpam-6970	59	2	definition	definition	NOUN
ejpam-6970	59	3	1	1	NUM
ejpam-6970	59	4	.	.	PUNCT
ejpam-6970	60	1	the	the	DET
ejpam-6970	60	2	mabc	mabc	PROPN
ejpam-6970	60	3	derivative	derivative	NOUN
ejpam-6970	60	4	of	of	ADP
ejpam-6970	60	5	fractional	fractional	ADJ
ejpam-6970	60	6	order	order	NOUN
ejpam-6970	60	7	β	β	NOUN
ejpam-6970	60	8	,	,	PUNCT
ejpam-6970	60	9	where	where	SCONJ
ejpam-6970	60	10	0	0	PUNCT
ejpam-6970	60	11	<	<	X
ejpam-6970	60	12	β	β	X
ejpam-6970	60	13	<	<	X
ejpam-6970	60	14	1	1	NUM
ejpam-6970	60	15	,	,	PUNCT
ejpam-6970	60	16	is	be	AUX
ejpam-6970	60	17	defined	define	VERB
ejpam-6970	60	18	as	as	SCONJ
ejpam-6970	60	19	follows	follow	VERB
ejpam-6970	60	20	[	[	X
ejpam-6970	60	21	28	28	NUM
ejpam-6970	60	22	]	]	PUNCT
ejpam-6970	60	23	:(	:(	PUNCT
ejpam-6970	61	1	mabc	mabc	NOUN
ejpam-6970	61	2	0	0	NUM
ejpam-6970	62	1	dβ	dβ	ADP
ejpam-6970	62	2	τ	τ	PROPN
ejpam-6970	62	3	y	y	PROPN
ejpam-6970	62	4	)	)	PUNCT
ejpam-6970	62	5	τ	τ	PROPN
ejpam-6970	62	6	=	=	SYM
ejpam-6970	62	7	n	n	PROPN
ejpam-6970	62	8	(	(	PUNCT
ejpam-6970	62	9	β	β	NOUN
ejpam-6970	62	10	)	)	PUNCT
ejpam-6970	62	11	1−	1−	NUM
ejpam-6970	62	12	β	β	X
ejpam-6970	62	13	[	[	PUNCT
ejpam-6970	62	14	y(τ)−	y(τ)−	NOUN
ejpam-6970	62	15	eβ	eβ	NOUN
ejpam-6970	62	16	(	(	PUNCT
ejpam-6970	62	17	−	−	PROPN
ejpam-6970	62	18	µβτ	µβτ	NOUN
ejpam-6970	62	19	β	β	PROPN
ejpam-6970	62	20	)	)	PUNCT
ejpam-6970	63	1	y(0)−	y(0)−	PROPN
ejpam-6970	64	1	µβ	µβ	INTJ
ejpam-6970	64	2	∫	∫	PROPN
ejpam-6970	64	3	τ	τ	PROPN
ejpam-6970	64	4	0	0	PROPN
ejpam-6970	65	1	(	(	PUNCT
ejpam-6970	65	2	τ	τ	X
ejpam-6970	65	3	−	−	PROPN
ejpam-6970	66	1	t)β−1eβ	t)β−1eβ	PROPN
ejpam-6970	66	2	,	,	PUNCT
ejpam-6970	66	3	β	β	X
ejpam-6970	66	4	(	(	PUNCT
ejpam-6970	66	5	−	−	PROPN
ejpam-6970	66	6	µβ(τ	µβ(τ	NOUN
ejpam-6970	66	7	−	−	PROPN
ejpam-6970	66	8	t)β	t)β	NOUN
ejpam-6970	66	9	)	)	PUNCT
ejpam-6970	66	10	y(t)dt	y(t)dt	PROPN
ejpam-6970	66	11	]	]	PUNCT
ejpam-6970	66	12	.	.	PUNCT
ejpam-6970	67	1	definition	definition	NOUN
ejpam-6970	67	2	2	2	NUM
ejpam-6970	67	3	.	.	PUNCT
ejpam-6970	68	1	the	the	DET
ejpam-6970	68	2	laplace	laplace	NOUN
ejpam-6970	68	3	transform	transform	NOUN
ejpam-6970	68	4	of	of	ADP
ejpam-6970	68	5	the	the	DET
ejpam-6970	68	6	mabc	mabc	NOUN
ejpam-6970	68	7	derivative	derivative	NOUN
ejpam-6970	68	8	of	of	ADP
ejpam-6970	68	9	fractional	fractional	ADJ
ejpam-6970	68	10	order	order	NOUN
ejpam-6970	68	11	β	β	NOUN
ejpam-6970	68	12	,	,	PUNCT
ejpam-6970	68	13	where	where	SCONJ
ejpam-6970	68	14	0	0	PUNCT
ejpam-6970	68	15	<	<	X
ejpam-6970	68	16	β	β	X
ejpam-6970	68	17	<	<	X
ejpam-6970	68	18	1	1	NUM
ejpam-6970	68	19	,	,	PUNCT
ejpam-6970	68	20	is	be	AUX
ejpam-6970	68	21	defined	define	VERB
ejpam-6970	68	22	as	as	SCONJ
ejpam-6970	68	23	follows	follow	VERB
ejpam-6970	68	24	[	[	X
ejpam-6970	68	25	28	28	NUM
ejpam-6970	68	26	]	]	X
ejpam-6970	68	27	:	:	PUNCT
ejpam-6970	68	28	l	l	NOUN
ejpam-6970	68	29	{	{	PUNCT
ejpam-6970	68	30	mabc	mabc	NOUN
ejpam-6970	68	31	0	0	NUM
ejpam-6970	69	1	dβ	dβ	ADP
ejpam-6970	69	2	τ	τ	PROPN
ejpam-6970	69	3	y(τ	y(τ	PROPN
ejpam-6970	69	4	)	)	PUNCT
ejpam-6970	69	5	}	}	PUNCT
ejpam-6970	69	6	=	=	SYM
ejpam-6970	69	7	n	n	X
ejpam-6970	69	8	(	(	PUNCT
ejpam-6970	69	9	β	β	NOUN
ejpam-6970	69	10	)	)	PUNCT
ejpam-6970	69	11	1−	1−	NUM
ejpam-6970	69	12	β	β	PROPN
ejpam-6970	69	13	zβl{y(τ	zβl{y(τ	PROPN
ejpam-6970	69	14	)	)	PUNCT
ejpam-6970	69	15	}	}	PUNCT
ejpam-6970	69	16	−	−	PROPN
ejpam-6970	70	1	y(0)zβ−1	y(0)zβ−1	PROPN
ejpam-6970	70	2	zβ	zβ	PROPN
ejpam-6970	70	3	+	+	CCONJ
ejpam-6970	70	4	ν	ν	NOUN
ejpam-6970	70	5	,	,	PUNCT
ejpam-6970	70	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6970	70	7	νzβ	νzβ	NOUN
ejpam-6970	70	8	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6970	70	9	<	<	X
ejpam-6970	70	10	1	1	X
ejpam-6970	70	11	.	.	PUNCT
ejpam-6970	70	12	definition	definition	NOUN
ejpam-6970	70	13	3	3	NUM
ejpam-6970	70	14	.	.	PUNCT
ejpam-6970	71	1	the	the	DET
ejpam-6970	71	2	one	one	NUM
ejpam-6970	71	3	-	-	PUNCT
ejpam-6970	71	4	parameter	parameter	NOUN
ejpam-6970	71	5	mittag	mittag	ADJ
ejpam-6970	71	6	-	-	PUNCT
ejpam-6970	71	7	leffler	leffler	NOUN
ejpam-6970	71	8	(	(	PUNCT
ejpam-6970	71	9	ml	ml	NOUN
ejpam-6970	71	10	)	)	PUNCT
ejpam-6970	71	11	function	function	NOUN
ejpam-6970	71	12	,	,	PUNCT
ejpam-6970	71	13	as	as	SCONJ
ejpam-6970	71	14	given	give	VERB
ejpam-6970	71	15	in	in	ADP
ejpam-6970	71	16	[	[	X
ejpam-6970	71	17	28	28	NUM
ejpam-6970	71	18	]	]	PUNCT
ejpam-6970	71	19	,	,	PUNCT
ejpam-6970	71	20	is	be	AUX
ejpam-6970	71	21	defined	define	VERB
ejpam-6970	71	22	as	as	ADP
ejpam-6970	71	23	:	:	PUNCT
ejpam-6970	71	24	eβ(τ	eβ(τ	NUM
ejpam-6970	71	25	)	)	PUNCT
ejpam-6970	71	26	=	=	PUNCT
ejpam-6970	72	1	∞∑	∞∑	NUM
ejpam-6970	72	2	k=0	k=0	PROPN
ejpam-6970	72	3	τk	τk	ADP
ejpam-6970	72	4	γ(kβ	γ(kβ	PROPN
ejpam-6970	72	5	+	+	PROPN
ejpam-6970	72	6	1	1	NUM
ejpam-6970	72	7	)	)	PUNCT
ejpam-6970	72	8	,	,	PUNCT
ejpam-6970	72	9	where	where	SCONJ
ejpam-6970	72	10	τ	τ	PROPN
ejpam-6970	72	11	∈	∈	PROPN
ejpam-6970	72	12	c	c	PROPN
ejpam-6970	72	13	and	and	CCONJ
ejpam-6970	72	14	ρ	ρ	PROPN
ejpam-6970	72	15	is	be	AUX
ejpam-6970	72	16	an	an	DET
ejpam-6970	72	17	arbitrary	arbitrary	ADJ
ejpam-6970	72	18	positive	positive	ADJ
ejpam-6970	72	19	constant	constant	NOUN
ejpam-6970	72	20	.	.	PUNCT
ejpam-6970	73	1	definition	definition	NOUN
ejpam-6970	73	2	4	4	NUM
ejpam-6970	73	3	.	.	PUNCT
ejpam-6970	74	1	the	the	DET
ejpam-6970	74	2	laplace	laplace	NOUN
ejpam-6970	74	3	transform	transform	NOUN
ejpam-6970	74	4	of	of	ADP
ejpam-6970	74	5	the	the	DET
ejpam-6970	74	6	one	one	NUM
ejpam-6970	74	7	-	-	PUNCT
ejpam-6970	74	8	parameter	parameter	NOUN
ejpam-6970	74	9	mittag	mittag	ADJ
ejpam-6970	74	10	-	-	PUNCT
ejpam-6970	74	11	leffler	leffler	NOUN
ejpam-6970	74	12	function	function	NOUN
ejpam-6970	74	13	is	be	AUX
ejpam-6970	74	14	defined	define	VERB
ejpam-6970	74	15	as	as	SCONJ
ejpam-6970	74	16	follows	follow	VERB
ejpam-6970	74	17	[	[	X
ejpam-6970	74	18	28	28	NUM
ejpam-6970	74	19	]	]	X
ejpam-6970	74	20	:	:	PUNCT
ejpam-6970	74	21	l{eβ(−ντβ	l{eβ(−ντβ	NUM
ejpam-6970	74	22	)	)	PUNCT
ejpam-6970	74	23	}	}	PUNCT
ejpam-6970	75	1	=	=	PUNCT
ejpam-6970	75	2	zβ−1	zβ−1	PROPN
ejpam-6970	75	3	zβ	zβ	PROPN
ejpam-6970	75	4	+	+	CCONJ
ejpam-6970	75	5	ν	ν	NOUN
ejpam-6970	75	6	,	,	PUNCT
ejpam-6970	75	7	where	where	SCONJ
ejpam-6970	75	8	re(z	re(z	NOUN
ejpam-6970	75	9	)	)	PUNCT
ejpam-6970	75	10	>	>	X
ejpam-6970	75	11	|ν|1	|ν|1	PROPN
ejpam-6970	75	12	/	/	SYM
ejpam-6970	75	13	β	β	PROPN
ejpam-6970	75	14	.	.	PUNCT
ejpam-6970	76	1	kamran	kamran	PROPN
ejpam-6970	76	2	et	et	PROPN
ejpam-6970	76	3	al	al	PROPN
ejpam-6970	76	4	.	.	PUNCT
ejpam-6970	76	5	/	/	SYM
ejpam-6970	76	6	eur	eur	PROPN
ejpam-6970	76	7	.	.	PUNCT
ejpam-6970	77	1	j.	j.	PROPN
ejpam-6970	77	2	pure	pure	PROPN
ejpam-6970	77	3	appl	appl	PROPN
ejpam-6970	77	4	.	.	PROPN
ejpam-6970	77	5	math	math	PROPN
ejpam-6970	77	6	,	,	PUNCT
ejpam-6970	77	7	18	18	NUM
ejpam-6970	77	8	(	(	PUNCT
ejpam-6970	77	9	4	4	NUM
ejpam-6970	77	10	)	)	PUNCT
ejpam-6970	77	11	(	(	PUNCT
ejpam-6970	77	12	2025	2025	NUM
ejpam-6970	77	13	)	)	PUNCT
ejpam-6970	77	14	,	,	PUNCT
ejpam-6970	77	15	6970	6970	NUM
ejpam-6970	77	16	4	4	NUM
ejpam-6970	77	17	of	of	ADP
ejpam-6970	77	18	22	22	NUM
ejpam-6970	77	19	definition	definition	NOUN
ejpam-6970	77	20	5	5	NUM
ejpam-6970	77	21	.	.	PUNCT
ejpam-6970	78	1	the	the	DET
ejpam-6970	78	2	two	two	NUM
ejpam-6970	78	3	-	-	PUNCT
ejpam-6970	78	4	parameter	parameter	NOUN
ejpam-6970	78	5	mittag	mittag	ADJ
ejpam-6970	78	6	-	-	PUNCT
ejpam-6970	78	7	leffler	leffler	NOUN
ejpam-6970	78	8	function	function	NOUN
ejpam-6970	78	9	is	be	AUX
ejpam-6970	78	10	defined	define	VERB
ejpam-6970	78	11	as	as	SCONJ
ejpam-6970	78	12	follows	follow	VERB
ejpam-6970	78	13	[	[	X
ejpam-6970	78	14	28	28	NUM
ejpam-6970	78	15	]	]	SYM
ejpam-6970	78	16	:	:	PUNCT
ejpam-6970	78	17	eβ	eβ	NOUN
ejpam-6970	78	18	,	,	PUNCT
ejpam-6970	78	19	ρ(τ	ρ(τ	NOUN
ejpam-6970	78	20	)	)	PUNCT
ejpam-6970	78	21	=	=	SYM
ejpam-6970	79	1	∞∑	∞∑	NUM
ejpam-6970	79	2	k=0	k=0	PROPN
ejpam-6970	79	3	τk	τk	ADP
ejpam-6970	79	4	γ(kβ	γ(kβ	PROPN
ejpam-6970	79	5	+	+	PROPN
ejpam-6970	79	6	ρ	ρ	PROPN
ejpam-6970	79	7	)	)	PUNCT
ejpam-6970	79	8	,	,	PUNCT
ejpam-6970	79	9	where	where	SCONJ
ejpam-6970	79	10	τ	τ	PROPN
ejpam-6970	79	11	∈	∈	PROPN
ejpam-6970	79	12	c	c	NOUN
ejpam-6970	79	13	,	,	PUNCT
ejpam-6970	79	14	and	and	CCONJ
ejpam-6970	79	15	β	β	X
ejpam-6970	79	16	,	,	PUNCT
ejpam-6970	79	17	ρ	ρ	PROPN
ejpam-6970	79	18	are	be	AUX
ejpam-6970	79	19	arbitrary	arbitrary	ADJ
ejpam-6970	79	20	positive	positive	ADJ
ejpam-6970	79	21	constants	constant	NOUN
ejpam-6970	79	22	.	.	PUNCT
ejpam-6970	80	1	definition	definition	NOUN
ejpam-6970	80	2	6	6	NUM
ejpam-6970	80	3	.	.	PUNCT
ejpam-6970	81	1	the	the	DET
ejpam-6970	81	2	laplace	laplace	NOUN
ejpam-6970	81	3	transform	transform	NOUN
ejpam-6970	81	4	of	of	ADP
ejpam-6970	81	5	the	the	DET
ejpam-6970	81	6	two	two	NUM
ejpam-6970	81	7	-	-	PUNCT
ejpam-6970	81	8	parameter	parameter	NOUN
ejpam-6970	81	9	mittag	mittag	ADJ
ejpam-6970	81	10	-	-	PUNCT
ejpam-6970	81	11	leffler	leffler	NOUN
ejpam-6970	81	12	function	function	NOUN
ejpam-6970	81	13	is	be	AUX
ejpam-6970	81	14	defined	define	VERB
ejpam-6970	81	15	as	as	ADP
ejpam-6970	81	16	[	[	X
ejpam-6970	81	17	28	28	NUM
ejpam-6970	81	18	]	]	X
ejpam-6970	81	19	:	:	PUNCT
ejpam-6970	81	20	l{τρ−1eβ	l{τρ−1eβ	PROPN
ejpam-6970	81	21	,	,	PUNCT
ejpam-6970	81	22	ρ(−ντβ	ρ(−ντβ	PROPN
ejpam-6970	81	23	)	)	PUNCT
ejpam-6970	81	24	}	}	PUNCT
ejpam-6970	82	1	=	=	PUNCT
ejpam-6970	82	2	zβ−ρ	zβ−ρ	PUNCT
ejpam-6970	82	3	zβ	zβ	NOUN
ejpam-6970	82	4	+	+	CCONJ
ejpam-6970	82	5	ν	ν	NOUN
ejpam-6970	82	6	,	,	PUNCT
ejpam-6970	82	7	where	where	SCONJ
ejpam-6970	82	8	re(z	re(z	NOUN
ejpam-6970	82	9	)	)	PUNCT
ejpam-6970	82	10	>	>	X
ejpam-6970	83	1	|ν|1	|ν|1	PROPN
ejpam-6970	83	2	/	/	SYM
ejpam-6970	83	3	β	β	NOUN
ejpam-6970	83	4	.	.	NOUN
ejpam-6970	83	5	2	2	NUM
ejpam-6970	83	6	.	.	NOUN
ejpam-6970	83	7	existence	existence	NOUN
ejpam-6970	83	8	and	and	CCONJ
ejpam-6970	83	9	uniqueness	uniqueness	NOUN
ejpam-6970	83	10	of	of	ADP
ejpam-6970	83	11	solution	solution	NOUN
ejpam-6970	83	12	the	the	DET
ejpam-6970	83	13	study	study	NOUN
ejpam-6970	83	14	of	of	ADP
ejpam-6970	83	15	fovides	fovide	NOUN
ejpam-6970	83	16	lies	lie	VERB
ejpam-6970	83	17	at	at	ADP
ejpam-6970	83	18	the	the	DET
ejpam-6970	83	19	intersection	intersection	NOUN
ejpam-6970	83	20	of	of	ADP
ejpam-6970	83	21	integral	integral	ADJ
ejpam-6970	83	22	equation	equation	NOUN
ejpam-6970	83	23	theory	theory	NOUN
ejpam-6970	83	24	and	and	CCONJ
ejpam-6970	83	25	fc	fc	INTJ
ejpam-6970	83	26	.	.	PUNCT
ejpam-6970	84	1	for	for	ADP
ejpam-6970	84	2	modeling	model	VERB
ejpam-6970	84	3	systems	system	NOUN
ejpam-6970	84	4	with	with	ADP
ejpam-6970	84	5	memory	memory	NOUN
ejpam-6970	84	6	and	and	CCONJ
ejpam-6970	84	7	hereditary	hereditary	ADJ
ejpam-6970	84	8	properties	property	NOUN
ejpam-6970	84	9	,	,	PUNCT
ejpam-6970	84	10	such	such	ADJ
ejpam-6970	84	11	as	as	ADP
ejpam-6970	84	12	those	those	PRON
ejpam-6970	84	13	observed	observe	VERB
ejpam-6970	84	14	in	in	ADP
ejpam-6970	84	15	biophysics	biophysic	NOUN
ejpam-6970	84	16	,	,	PUNCT
ejpam-6970	84	17	population	population	NOUN
ejpam-6970	84	18	dynamics	dynamic	NOUN
ejpam-6970	84	19	,	,	PUNCT
ejpam-6970	84	20	and	and	CCONJ
ejpam-6970	84	21	viscoelasticity	viscoelasticity	NOUN
ejpam-6970	84	22	,	,	PUNCT
ejpam-6970	84	23	problems	problem	NOUN
ejpam-6970	84	24	of	of	ADP
ejpam-6970	84	25	the	the	DET
ejpam-6970	84	26	form	form	NOUN
ejpam-6970	84	27	(	(	PUNCT
ejpam-6970	84	28	1	1	X
ejpam-6970	84	29	)	)	PUNCT
ejpam-6970	84	30	are	be	AUX
ejpam-6970	84	31	important	important	ADJ
ejpam-6970	84	32	.	.	PUNCT
ejpam-6970	85	1	however	however	ADV
ejpam-6970	85	2	,	,	PUNCT
ejpam-6970	85	3	the	the	DET
ejpam-6970	85	4	combination	combination	NOUN
ejpam-6970	85	5	of	of	ADP
ejpam-6970	85	6	non	non	ADJ
ejpam-6970	85	7	-	-	ADJ
ejpam-6970	85	8	local	local	ADJ
ejpam-6970	85	9	fractional	fractional	ADJ
ejpam-6970	85	10	differential	differential	NOUN
ejpam-6970	85	11	and	and	CCONJ
ejpam-6970	85	12	integral	integral	ADJ
ejpam-6970	85	13	operators	operator	NOUN
ejpam-6970	85	14	introduces	introduce	VERB
ejpam-6970	85	15	significant	significant	ADJ
ejpam-6970	85	16	complexity	complexity	NOUN
ejpam-6970	85	17	.	.	PUNCT
ejpam-6970	86	1	establishing	establish	VERB
ejpam-6970	86	2	the	the	DET
ejpam-6970	86	3	existence	existence	NOUN
ejpam-6970	86	4	of	of	ADP
ejpam-6970	86	5	a	a	DET
ejpam-6970	86	6	solution	solution	NOUN
ejpam-6970	86	7	confirms	confirm	VERB
ejpam-6970	86	8	the	the	DET
ejpam-6970	86	9	well	well	NOUN
ejpam-6970	86	10	-	-	PUNCT
ejpam-6970	86	11	posedness	posedness	NOUN
ejpam-6970	86	12	of	of	ADP
ejpam-6970	86	13	these	these	DET
ejpam-6970	86	14	models	model	NOUN
ejpam-6970	86	15	,	,	PUNCT
ejpam-6970	86	16	while	while	SCONJ
ejpam-6970	86	17	proving	prove	VERB
ejpam-6970	86	18	the	the	DET
ejpam-6970	86	19	uniqueness	uniqueness	NOUN
ejpam-6970	86	20	confirms	confirm	VERB
ejpam-6970	86	21	that	that	SCONJ
ejpam-6970	86	22	the	the	DET
ejpam-6970	86	23	problem	problem	NOUN
ejpam-6970	86	24	predicts	predict	VERB
ejpam-6970	86	25	a	a	DET
ejpam-6970	86	26	single	single	ADJ
ejpam-6970	86	27	solution	solution	NOUN
ejpam-6970	86	28	,	,	PUNCT
ejpam-6970	86	29	which	which	PRON
ejpam-6970	86	30	is	be	AUX
ejpam-6970	86	31	a	a	DET
ejpam-6970	86	32	fundamental	fundamental	ADJ
ejpam-6970	86	33	requirement	requirement	NOUN
ejpam-6970	86	34	for	for	ADP
ejpam-6970	86	35	any	any	DET
ejpam-6970	86	36	physical	physical	ADJ
ejpam-6970	86	37	application	application	NOUN
ejpam-6970	86	38	.	.	PUNCT
ejpam-6970	87	1	let	let	VERB
ejpam-6970	87	2	χ	χ	X
ejpam-6970	87	3	=	=	PUNCT
ejpam-6970	88	1	[	[	X
ejpam-6970	88	2	0	0	NUM
ejpam-6970	88	3	,	,	PUNCT
ejpam-6970	88	4	1	1	NUM
ejpam-6970	88	5	]	]	PUNCT
ejpam-6970	88	6	.	.	PUNCT
ejpam-6970	89	1	consider	consider	VERB
ejpam-6970	89	2	the	the	DET
ejpam-6970	89	3	volterra	volterra	NOUN
ejpam-6970	89	4	integro	integro	ADJ
ejpam-6970	89	5	-	-	PUNCT
ejpam-6970	89	6	differential	differential	NOUN
ejpam-6970	89	7	equation	equation	NOUN
ejpam-6970	89	8	:(	:(	PUNCT
ejpam-6970	90	1	mabc0dβ	mabc0dβ	PROPN
ejpam-6970	90	2	τ	τ	PROPN
ejpam-6970	90	3	y	y	PROPN
ejpam-6970	90	4	)	)	PUNCT
ejpam-6970	90	5	(	(	PUNCT
ejpam-6970	90	6	τ	τ	X
ejpam-6970	90	7	)	)	PUNCT
ejpam-6970	90	8	=	=	SYM
ejpam-6970	90	9	f(τ	f(τ	PROPN
ejpam-6970	90	10	)	)	PUNCT
ejpam-6970	91	1	+	+	CCONJ
ejpam-6970	91	2	∫	∫	PROPN
ejpam-6970	91	3	τ	τ	PROPN
ejpam-6970	91	4	0	0	PROPN
ejpam-6970	91	5	k(τ	k(τ	PROPN
ejpam-6970	91	6	,	,	PUNCT
ejpam-6970	91	7	t)y(t)dt	t)y(t)dt	NOUN
ejpam-6970	91	8	,	,	PUNCT
ejpam-6970	91	9	y(0	y(0	PROPN
ejpam-6970	91	10	)	)	PUNCT
ejpam-6970	91	11	=	=	SYM
ejpam-6970	91	12	y0	y0	NOUN
ejpam-6970	91	13	,	,	PUNCT
ejpam-6970	91	14	(	(	PUNCT
ejpam-6970	91	15	1	1	X
ejpam-6970	91	16	)	)	PUNCT
ejpam-6970	91	17	where	where	SCONJ
ejpam-6970	91	18	0	0	PUNCT
ejpam-6970	91	19	<	<	X
ejpam-6970	91	20	β	β	X
ejpam-6970	91	21	<	<	X
ejpam-6970	91	22	1	1	NUM
ejpam-6970	91	23	,	,	PUNCT
ejpam-6970	91	24	k	k	PROPN
ejpam-6970	91	25	∈	∈	PROPN
ejpam-6970	91	26	c(χ	c(χ	VERB
ejpam-6970	91	27	×	×	NOUN
ejpam-6970	91	28	χ	χ	NOUN
ejpam-6970	91	29	,	,	PUNCT
ejpam-6970	91	30	r	r	NOUN
ejpam-6970	91	31	)	)	PUNCT
ejpam-6970	91	32	,	,	PUNCT
ejpam-6970	91	33	f	f	PROPN
ejpam-6970	91	34	∈	∈	PROPN
ejpam-6970	91	35	c(χ	c(χ	NOUN
ejpam-6970	91	36	,	,	PUNCT
ejpam-6970	91	37	r	r	NOUN
ejpam-6970	91	38	)	)	PUNCT
ejpam-6970	91	39	,	,	PUNCT
ejpam-6970	91	40	and	and	CCONJ
ejpam-6970	91	41	the	the	DET
ejpam-6970	91	42	unknown	unknown	ADJ
ejpam-6970	91	43	function	function	NOUN
ejpam-6970	91	44	y	y	PROPN
ejpam-6970	91	45	∈	∈	PROPN
ejpam-6970	91	46	c(χ	c(χ	PROPN
ejpam-6970	91	47	,	,	PUNCT
ejpam-6970	91	48	r	r	NOUN
ejpam-6970	91	49	)	)	PUNCT
ejpam-6970	91	50	with	with	ADP
ejpam-6970	91	51	the	the	DET
ejpam-6970	91	52	supremum	supremum	ADJ
ejpam-6970	91	53	norm	norm	NOUN
ejpam-6970	91	54	∥y∥	∥y∥	NOUN
ejpam-6970	91	55	=	=	SYM
ejpam-6970	91	56	supτ∈χ	supτ∈χ	PROPN
ejpam-6970	91	57	|y(τ)|	|y(τ)|	NOUN
ejpam-6970	91	58	.	.	PUNCT
ejpam-6970	92	1	lemma	lemma	PROPN
ejpam-6970	92	2	1	1	NUM
ejpam-6970	92	3	.	.	PUNCT
ejpam-6970	93	1	the	the	DET
ejpam-6970	93	2	solution	solution	NOUN
ejpam-6970	93	3	of	of	ADP
ejpam-6970	93	4	(	(	PUNCT
ejpam-6970	93	5	1	1	X
ejpam-6970	93	6	)	)	PUNCT
ejpam-6970	93	7	satisfies	satisfy	VERB
ejpam-6970	93	8	the	the	DET
ejpam-6970	93	9	integral	integral	ADJ
ejpam-6970	93	10	equation	equation	NOUN
ejpam-6970	93	11	:	:	PUNCT
ejpam-6970	93	12	y(τ	y(τ	PROPN
ejpam-6970	93	13	)	)	PUNCT
ejpam-6970	93	14	=	=	PUNCT
ejpam-6970	94	1	y0	y0	NOUN
ejpam-6970	94	2	+	+	CCONJ
ejpam-6970	94	3	1−	1−	NUM
ejpam-6970	94	4	β	β	X
ejpam-6970	94	5	q(β	q(β	PROPN
ejpam-6970	94	6	)	)	PUNCT
ejpam-6970	94	7	f(τ	f(τ	PROPN
ejpam-6970	94	8	)	)	PUNCT
ejpam-6970	95	1	+	+	CCONJ
ejpam-6970	95	2	1−	1−	NUM
ejpam-6970	95	3	β	β	X
ejpam-6970	95	4	q(β	q(β	PROPN
ejpam-6970	95	5	)	)	PUNCT
ejpam-6970	95	6	∫	∫	PROPN
ejpam-6970	95	7	τ	τ	PROPN
ejpam-6970	95	8	0	0	PROPN
ejpam-6970	95	9	k(τ	k(τ	PROPN
ejpam-6970	95	10	,	,	PUNCT
ejpam-6970	95	11	t)y(t)dt	t)y(t)dt	NOUN
ejpam-6970	95	12	+	+	CCONJ
ejpam-6970	95	13	β	β	X
ejpam-6970	95	14	q(β)γ(β	q(β)γ(β	X
ejpam-6970	95	15	)	)	PUNCT
ejpam-6970	96	1	[	[	X
ejpam-6970	96	2	∫	∫	X
ejpam-6970	96	3	τ	τ	X
ejpam-6970	96	4	0	0	NUM
ejpam-6970	96	5	(	(	PUNCT
ejpam-6970	96	6	τ	τ	PROPN
ejpam-6970	96	7	−	−	PROPN
ejpam-6970	96	8	t)β−1f(t)dt+	t)β−1f(t)dt+	NUM
ejpam-6970	96	9	∫	∫	PROPN
ejpam-6970	96	10	τ	τ	X
ejpam-6970	96	11	0	0	NUM
ejpam-6970	96	12	∫	∫	PROPN
ejpam-6970	96	13	s	s	PART
ejpam-6970	96	14	0	0	NUM
ejpam-6970	96	15	(	(	PUNCT
ejpam-6970	96	16	s−	s−	PROPN
ejpam-6970	96	17	t)β−1k(s	t)β−1k(s	ADP
ejpam-6970	96	18	,	,	PUNCT
ejpam-6970	96	19	t)y(t)dtds	t)y(t)dtds	NOUN
ejpam-6970	96	20	]	]	PUNCT
ejpam-6970	96	21	.	.	PUNCT
ejpam-6970	97	1	(	(	PUNCT
ejpam-6970	97	2	2	2	X
ejpam-6970	97	3	)	)	PUNCT
ejpam-6970	97	4	proof	proof	NOUN
ejpam-6970	97	5	.	.	PUNCT
ejpam-6970	98	1	apply	apply	VERB
ejpam-6970	98	2	the	the	DET
ejpam-6970	98	3	mabc	mabc	ADJ
ejpam-6970	98	4	fractional	fractional	ADJ
ejpam-6970	98	5	integral	integral	ADJ
ejpam-6970	98	6	operator	operator	NOUN
ejpam-6970	98	7	mabc0iβ	mabc0iβ	PROPN
ejpam-6970	98	8	τ	τ	PROPN
ejpam-6970	98	9	to	to	ADP
ejpam-6970	98	10	both	both	DET
ejpam-6970	98	11	sides	side	NOUN
ejpam-6970	98	12	of	of	ADP
ejpam-6970	98	13	(	(	PUNCT
ejpam-6970	98	14	1	1	NUM
ejpam-6970	98	15	)	)	PUNCT
ejpam-6970	98	16	.	.	PUNCT
ejpam-6970	99	1	using	use	VERB
ejpam-6970	99	2	the	the	DET
ejpam-6970	99	3	inversion	inversion	NOUN
ejpam-6970	99	4	property	property	NOUN
ejpam-6970	99	5	mabc0iβ	mabc0iβ	PROPN
ejpam-6970	99	6	τ	τ	X
ejpam-6970	99	7	(	(	PUNCT
ejpam-6970	99	8	mabc0dβ	mabc0dβ	PROPN
ejpam-6970	99	9	τ	τ	PROPN
ejpam-6970	99	10	y	y	PROPN
ejpam-6970	99	11	)	)	PUNCT
ejpam-6970	99	12	(	(	PUNCT
ejpam-6970	99	13	τ	τ	X
ejpam-6970	99	14	)	)	PUNCT
ejpam-6970	99	15	=	=	SYM
ejpam-6970	99	16	y(τ)−y(0	y(τ)−y(0	NOUN
ejpam-6970	99	17	)	)	PUNCT
ejpam-6970	99	18	and	and	CCONJ
ejpam-6970	99	19	linearity	linearity	NOUN
ejpam-6970	99	20	yields	yield	NOUN
ejpam-6970	99	21	(	(	PUNCT
ejpam-6970	99	22	2	2	NUM
ejpam-6970	99	23	)	)	PUNCT
ejpam-6970	99	24	.	.	PUNCT
ejpam-6970	100	1	define	define	VERB
ejpam-6970	100	2	the	the	DET
ejpam-6970	100	3	operator	operator	NOUN
ejpam-6970	100	4	t	t	NOUN
ejpam-6970	100	5	:	:	PUNCT
ejpam-6970	100	6	c(χ	c(χ	X
ejpam-6970	100	7	)	)	PUNCT
ejpam-6970	100	8	→	→	SYM
ejpam-6970	100	9	c(χ	c(χ	NOUN
ejpam-6970	100	10	)	)	PUNCT
ejpam-6970	100	11	by	by	ADP
ejpam-6970	100	12	:	:	PUNCT
ejpam-6970	100	13	(	(	PUNCT
ejpam-6970	100	14	ty)(τ	ty)(τ	NUM
ejpam-6970	100	15	)	)	PUNCT
ejpam-6970	101	1	=	=	PUNCT
ejpam-6970	101	2	y0	y0	NOUN
ejpam-6970	101	3	+	+	CCONJ
ejpam-6970	101	4	1−	1−	NUM
ejpam-6970	101	5	β	β	X
ejpam-6970	101	6	q(β	q(β	PROPN
ejpam-6970	101	7	)	)	PUNCT
ejpam-6970	101	8	f(τ	f(τ	PROPN
ejpam-6970	101	9	)	)	PUNCT
ejpam-6970	102	1	+	+	CCONJ
ejpam-6970	102	2	1−	1−	NUM
ejpam-6970	102	3	β	β	X
ejpam-6970	102	4	q(β	q(β	PROPN
ejpam-6970	102	5	)	)	PUNCT
ejpam-6970	102	6	∫	∫	PROPN
ejpam-6970	102	7	τ	τ	PROPN
ejpam-6970	102	8	0	0	PROPN
ejpam-6970	102	9	k(τ	k(τ	PROPN
ejpam-6970	102	10	,	,	PUNCT
ejpam-6970	102	11	t)y(t)dt+	t)y(t)dt+	ADV
ejpam-6970	102	12	β	β	X
ejpam-6970	102	13	q(β)γ(β	q(β)γ(β	X
ejpam-6970	102	14	)	)	PUNCT
ejpam-6970	102	15	∫	∫	PROPN
ejpam-6970	102	16	τ	τ	PROPN
ejpam-6970	102	17	0	0	NUM
ejpam-6970	103	1	(	(	PUNCT
ejpam-6970	103	2	τ	τ	X
ejpam-6970	103	3	−	−	NOUN
ejpam-6970	103	4	t)β−1f(t)dt	t)β−1f(t)dt	PRON
ejpam-6970	104	1	+	+	CCONJ
ejpam-6970	104	2	β	β	X
ejpam-6970	104	3	q(β)γ(β	q(β)γ(β	X
ejpam-6970	104	4	)	)	PUNCT
ejpam-6970	104	5	∫	∫	PROPN
ejpam-6970	105	1	τ	τ	PROPN
ejpam-6970	105	2	0	0	NUM
ejpam-6970	105	3	∫	∫	PROPN
ejpam-6970	105	4	s	s	PART
ejpam-6970	105	5	0	0	NUM
ejpam-6970	105	6	(	(	PUNCT
ejpam-6970	105	7	s−	s−	PROPN
ejpam-6970	105	8	t)β−1k(s	t)β−1k(s	ADP
ejpam-6970	105	9	,	,	PUNCT
ejpam-6970	105	10	t)y(t)dtds	t)y(t)dtds	NOUN
ejpam-6970	105	11	.	.	PUNCT
ejpam-6970	106	1	kamran	kamran	PROPN
ejpam-6970	106	2	et	et	PROPN
ejpam-6970	106	3	al	al	PROPN
ejpam-6970	106	4	.	.	PUNCT
ejpam-6970	106	5	/	/	SYM
ejpam-6970	106	6	eur	eur	PROPN
ejpam-6970	106	7	.	.	PUNCT
ejpam-6970	107	1	j.	j.	PROPN
ejpam-6970	107	2	pure	pure	PROPN
ejpam-6970	107	3	appl	appl	PROPN
ejpam-6970	107	4	.	.	PROPN
ejpam-6970	107	5	math	math	PROPN
ejpam-6970	107	6	,	,	PUNCT
ejpam-6970	107	7	18	18	NUM
ejpam-6970	107	8	(	(	PUNCT
ejpam-6970	107	9	4	4	NUM
ejpam-6970	107	10	)	)	PUNCT
ejpam-6970	107	11	(	(	PUNCT
ejpam-6970	107	12	2025	2025	NUM
ejpam-6970	107	13	)	)	PUNCT
ejpam-6970	107	14	,	,	PUNCT
ejpam-6970	107	15	6970	6970	NUM
ejpam-6970	107	16	5	5	NUM
ejpam-6970	107	17	of	of	ADP
ejpam-6970	107	18	22	22	NUM
ejpam-6970	107	19	a	a	DET
ejpam-6970	107	20	fixed	fix	VERB
ejpam-6970	107	21	point	point	NOUN
ejpam-6970	107	22	of	of	ADP
ejpam-6970	107	23	t	t	PROPN
ejpam-6970	107	24	is	be	AUX
ejpam-6970	107	25	a	a	DET
ejpam-6970	107	26	solution	solution	NOUN
ejpam-6970	107	27	to	to	ADP
ejpam-6970	107	28	(	(	PUNCT
ejpam-6970	107	29	2	2	NUM
ejpam-6970	107	30	)	)	PUNCT
ejpam-6970	107	31	and	and	CCONJ
ejpam-6970	107	32	hence	hence	ADV
ejpam-6970	107	33	to	to	ADP
ejpam-6970	107	34	(	(	PUNCT
ejpam-6970	107	35	1	1	NUM
ejpam-6970	107	36	)	)	PUNCT
ejpam-6970	107	37	.	.	PUNCT
ejpam-6970	108	1	define	define	VERB
ejpam-6970	108	2	the	the	DET
ejpam-6970	108	3	constants	constant	NOUN
ejpam-6970	108	4	:	:	PUNCT
ejpam-6970	108	5	ς1	ς1	NUM
ejpam-6970	108	6	=	=	SYM
ejpam-6970	108	7	∣∣∣∣1−	∣∣∣∣1−	X
ejpam-6970	108	8	β	β	X
ejpam-6970	108	9	q(β	q(β	ADJ
ejpam-6970	108	10	)	)	PUNCT
ejpam-6970	108	11	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6970	108	12	,	,	PUNCT
ejpam-6970	108	13	ς2	ς2	PROPN
ejpam-6970	108	14	=	=	SYM
ejpam-6970	108	15	sup	sup	PROPN
ejpam-6970	108	16	(	(	PUNCT
ejpam-6970	108	17	τ	τ	PROPN
ejpam-6970	108	18	,	,	PUNCT
ejpam-6970	108	19	t)∈χ×χ	t)∈χ×χ	X
ejpam-6970	108	20	|k(τ	|k(τ	ADJ
ejpam-6970	108	21	,	,	PUNCT
ejpam-6970	108	22	t)|	t)|	NOUN
ejpam-6970	108	23	,	,	PUNCT
ejpam-6970	108	24	ς3	ς3	NOUN
ejpam-6970	108	25	=	=	SYM
ejpam-6970	108	26	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6970	108	27	β	β	NOUN
ejpam-6970	108	28	q(β)γ(β	q(β)γ(β	X
ejpam-6970	108	29	)	)	PUNCT
ejpam-6970	108	30	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6970	108	31	,	,	PUNCT
ejpam-6970	108	32	ς4	ς4	NOUN
ejpam-6970	108	33	=	=	SYM
ejpam-6970	108	34	sup	sup	NOUN
ejpam-6970	108	35	τ∈χ	τ∈χ	NOUN
ejpam-6970	108	36	|f(τ)|	|f(τ)|	PROPN
ejpam-6970	108	37	.	.	PUNCT
ejpam-6970	109	1	theorem	theorem	NOUN
ejpam-6970	109	2	1	1	NUM
ejpam-6970	109	3	.	.	PUNCT
ejpam-6970	110	1	the	the	DET
ejpam-6970	110	2	problem	problem	NOUN
ejpam-6970	110	3	defined	define	VERB
ejpam-6970	110	4	in	in	ADP
ejpam-6970	110	5	(	(	PUNCT
ejpam-6970	110	6	1	1	X
ejpam-6970	110	7	)	)	PUNCT
ejpam-6970	110	8	has	have	VERB
ejpam-6970	110	9	at	at	ADV
ejpam-6970	110	10	least	least	ADV
ejpam-6970	110	11	one	one	NUM
ejpam-6970	110	12	solution	solution	NOUN
ejpam-6970	110	13	provided	provide	VERB
ejpam-6970	110	14	that	that	SCONJ
ejpam-6970	110	15	ς1ς2	ς1ς2	PROPN
ejpam-6970	110	16	+	+	X
ejpam-6970	110	17	ς3ς2	ς3ς2	X
ejpam-6970	110	18	γ(β	γ(β	PROPN
ejpam-6970	110	19	+	+	CCONJ
ejpam-6970	110	20	2	2	X
ejpam-6970	110	21	)	)	PUNCT
ejpam-6970	110	22	<	<	X
ejpam-6970	110	23	1	1	X
ejpam-6970	110	24	.	.	PUNCT
ejpam-6970	111	1	proof	proof	NOUN
ejpam-6970	111	2	.	.	PUNCT
ejpam-6970	112	1	the	the	DET
ejpam-6970	112	2	proof	proof	NOUN
ejpam-6970	112	3	proceeds	proceed	VERB
ejpam-6970	112	4	in	in	ADP
ejpam-6970	112	5	four	four	NUM
ejpam-6970	112	6	steps	step	NOUN
ejpam-6970	112	7	using	use	VERB
ejpam-6970	112	8	schaefer	schaefer	NOUN
ejpam-6970	112	9	’s	’s	PART
ejpam-6970	112	10	fixed	fix	VERB
ejpam-6970	112	11	point	point	NOUN
ejpam-6970	112	12	theorem	theorem	VERB
ejpam-6970	112	13	.	.	PUNCT
ejpam-6970	113	1	let	let	VERB
ejpam-6970	113	2	x	x	SYM
ejpam-6970	113	3	=	=	SYM
ejpam-6970	113	4	c([0	c([0	NOUN
ejpam-6970	113	5	,	,	PUNCT
ejpam-6970	113	6	1],r	1],r	NUM
ejpam-6970	113	7	)	)	PUNCT
ejpam-6970	113	8	be	be	VERB
ejpam-6970	113	9	the	the	DET
ejpam-6970	113	10	banach	banach	NOUN
ejpam-6970	113	11	space	space	NOUN
ejpam-6970	113	12	endowed	endow	VERB
ejpam-6970	113	13	with	with	ADP
ejpam-6970	113	14	the	the	DET
ejpam-6970	113	15	supremum	supremum	ADJ
ejpam-6970	113	16	norm	norm	NOUN
ejpam-6970	114	1	∥y∥	∥y∥	NOUN
ejpam-6970	114	2	=	=	SYM
ejpam-6970	114	3	supτ∈[0,1	supτ∈[0,1	NUM
ejpam-6970	114	4	]	]	X
ejpam-6970	114	5	|y(τ)|	|y(τ)|	NOUN
ejpam-6970	114	6	.	.	PUNCT
ejpam-6970	115	1	step	step	NOUN
ejpam-6970	115	2	1	1	NUM
ejpam-6970	115	3	:	:	PUNCT
ejpam-6970	115	4	continuity	continuity	NOUN
ejpam-6970	115	5	of	of	ADP
ejpam-6970	115	6	the	the	DET
ejpam-6970	115	7	operator	operator	NOUN
ejpam-6970	115	8	t	t	X
ejpam-6970	115	9	the	the	DET
ejpam-6970	115	10	operator	operator	NOUN
ejpam-6970	115	11	t	t	NOUN
ejpam-6970	115	12	:	:	PUNCT
ejpam-6970	115	13	x	x	X
ejpam-6970	115	14	→	→	PUNCT
ejpam-6970	115	15	x	x	SYM
ejpam-6970	115	16	is	be	AUX
ejpam-6970	115	17	continuous	continuous	ADJ
ejpam-6970	115	18	.	.	PUNCT
ejpam-6970	116	1	indeed	indeed	ADV
ejpam-6970	116	2	,	,	PUNCT
ejpam-6970	116	3	let	let	VERB
ejpam-6970	116	4	{	{	PUNCT
ejpam-6970	116	5	yn	yn	NOUN
ejpam-6970	116	6	}	}	PUNCT
ejpam-6970	116	7	be	be	AUX
ejpam-6970	116	8	a	a	DET
ejpam-6970	116	9	sequence	sequence	NOUN
ejpam-6970	116	10	in	in	ADP
ejpam-6970	116	11	x	x	INTJ
ejpam-6970	116	12	such	such	ADJ
ejpam-6970	116	13	that	that	SCONJ
ejpam-6970	116	14	yn	yn	PROPN
ejpam-6970	116	15	→	→	PUNCT
ejpam-6970	116	16	y	y	PROPN
ejpam-6970	116	17	uniformly	uniformly	ADV
ejpam-6970	116	18	on	on	ADP
ejpam-6970	116	19	[	[	X
ejpam-6970	116	20	0	0	NUM
ejpam-6970	116	21	,	,	PUNCT
ejpam-6970	116	22	1	1	NUM
ejpam-6970	116	23	]	]	PUNCT
ejpam-6970	116	24	.	.	PUNCT
ejpam-6970	117	1	then,∣∣(tyn)(τ)−	then,∣∣(tyn)(τ)−	PROPN
ejpam-6970	117	2	(	(	PUNCT
ejpam-6970	117	3	ty)(τ	ty)(τ	PROPN
ejpam-6970	117	4	)	)	PUNCT
ejpam-6970	117	5	∣∣	∣∣	NUM
ejpam-6970	118	1	≤	≤	NUM
ejpam-6970	118	2	ς1	ς1	NUM
ejpam-6970	118	3	∫	∫	PROPN
ejpam-6970	118	4	τ	τ	X
ejpam-6970	118	5	0	0	X
ejpam-6970	119	1	|k(τ	|k(τ	PROPN
ejpam-6970	119	2	,	,	PUNCT
ejpam-6970	119	3	t)||yn(t)−	t)||yn(t)−	PROPN
ejpam-6970	119	4	y(t)|dt	y(t)|dt	PROPN
ejpam-6970	120	1	+	+	CCONJ
ejpam-6970	120	2	ς3	ς3	PROPN
ejpam-6970	120	3	∫	∫	PROPN
ejpam-6970	120	4	τ	τ	X
ejpam-6970	120	5	0	0	NUM
ejpam-6970	120	6	∫	∫	PROPN
ejpam-6970	120	7	s	s	PART
ejpam-6970	120	8	0	0	NUM
ejpam-6970	120	9	(	(	PUNCT
ejpam-6970	120	10	s−	s−	PROPN
ejpam-6970	120	11	t)β−1|k(s	t)β−1|k(s	ADP
ejpam-6970	120	12	,	,	PUNCT
ejpam-6970	120	13	t)||yn(t)−	t)||yn(t)−	PROPN
ejpam-6970	120	14	y(t)|dtds	y(t)|dtds	PROPN
ejpam-6970	120	15	≤	≤	ADJ
ejpam-6970	120	16	ς1ς2∥yn	ς1ς2∥yn	PROPN
ejpam-6970	120	17	−	−	PROPN
ejpam-6970	120	18	y∥	y∥	NOUN
ejpam-6970	120	19	∫	∫	PROPN
ejpam-6970	120	20	τ	τ	NOUN
ejpam-6970	120	21	0	0	NUM
ejpam-6970	120	22	dt+	dt+	NOUN
ejpam-6970	120	23	ς3ς2∥yn	ς3ς2∥yn	PROPN
ejpam-6970	120	24	−	−	PROPN
ejpam-6970	120	25	y∥	y∥	ADP
ejpam-6970	120	26	∫	∫	PROPN
ejpam-6970	120	27	τ	τ	X
ejpam-6970	120	28	0	0	NUM
ejpam-6970	120	29	∫	∫	PROPN
ejpam-6970	120	30	s	s	PART
ejpam-6970	120	31	0	0	NUM
ejpam-6970	120	32	(	(	PUNCT
ejpam-6970	120	33	s−	s−	PROPN
ejpam-6970	120	34	t)β−1dtds	t)β−1dtds	NOUN
ejpam-6970	120	35	=	=	SYM
ejpam-6970	120	36	ς1ς2∥yn	ς1ς2∥yn	PROPN
ejpam-6970	120	37	−	−	PROPN
ejpam-6970	120	38	y∥τ	y∥τ	NOUN
ejpam-6970	121	1	+	+	NUM
ejpam-6970	121	2	ς3ς2∥yn	ς3ς2∥yn	PROPN
ejpam-6970	121	3	−	−	PROPN
ejpam-6970	121	4	y∥	y∥	VERB
ejpam-6970	121	5	τβ+1	τβ+1	PROPN
ejpam-6970	121	6	γ(β	γ(β	PROPN
ejpam-6970	121	7	+	+	CCONJ
ejpam-6970	121	8	2	2	NUM
ejpam-6970	121	9	)	)	PUNCT
ejpam-6970	121	10	.	.	PUNCT
ejpam-6970	122	1	taking	take	VERB
ejpam-6970	122	2	the	the	DET
ejpam-6970	122	3	supremum	supremum	NOUN
ejpam-6970	122	4	over	over	ADP
ejpam-6970	122	5	τ	τ	PROPN
ejpam-6970	122	6	∈	∈	PROPN
ejpam-6970	122	7	[	[	X
ejpam-6970	122	8	0	0	NUM
ejpam-6970	122	9	,	,	PUNCT
ejpam-6970	122	10	1	1	NUM
ejpam-6970	122	11	]	]	PUNCT
ejpam-6970	122	12	yields	yield	NOUN
ejpam-6970	122	13	:	:	PUNCT
ejpam-6970	123	1	∥tyn	∥tyn	PROPN
ejpam-6970	123	2	−	−	PROPN
ejpam-6970	124	1	ty∥	ty∥	VERB
ejpam-6970	124	2	≤	≤	NUM
ejpam-6970	124	3	(	(	PUNCT
ejpam-6970	124	4	ς1ς2	ς1ς2	X
ejpam-6970	124	5	+	+	CCONJ
ejpam-6970	124	6	ς3ς2	ς3ς2	X
ejpam-6970	124	7	γ(β	γ(β	PROPN
ejpam-6970	124	8	+	+	CCONJ
ejpam-6970	124	9	2	2	NUM
ejpam-6970	124	10	)	)	PUNCT
ejpam-6970	124	11	)	)	PUNCT
ejpam-6970	124	12	∥yn	∥yn	PROPN
ejpam-6970	124	13	−	−	PROPN
ejpam-6970	124	14	y∥.	y∥.	PROPN
ejpam-6970	124	15	since	since	SCONJ
ejpam-6970	124	16	yn	yn	PROPN
ejpam-6970	124	17	→	→	SYM
ejpam-6970	124	18	y	y	PROPN
ejpam-6970	124	19	,	,	PUNCT
ejpam-6970	124	20	it	it	PRON
ejpam-6970	124	21	follows	follow	VERB
ejpam-6970	124	22	that	that	SCONJ
ejpam-6970	125	1	∥tyn	∥tyn	PROPN
ejpam-6970	125	2	−	−	PROPN
ejpam-6970	125	3	ty∥	ty∥	NOUN
ejpam-6970	125	4	→	→	SYM
ejpam-6970	125	5	0	0	NUM
ejpam-6970	125	6	as	as	ADP
ejpam-6970	125	7	n	n	PROPN
ejpam-6970	125	8	→	→	SYM
ejpam-6970	125	9	∞.	∞.	PROPN
ejpam-6970	125	10	therefore	therefore	ADV
ejpam-6970	125	11	,	,	PUNCT
ejpam-6970	125	12	t	t	PROPN
ejpam-6970	125	13	is	be	AUX
ejpam-6970	125	14	continuous	continuous	ADJ
ejpam-6970	125	15	.	.	PUNCT
ejpam-6970	126	1	step	step	NOUN
ejpam-6970	126	2	2	2	NUM
ejpam-6970	126	3	:	:	PUNCT
ejpam-6970	126	4	boundedness	boundedness	NOUN
ejpam-6970	126	5	of	of	ADP
ejpam-6970	126	6	t	t	PROPN
ejpam-6970	126	7	we	we	PRON
ejpam-6970	126	8	show	show	VERB
ejpam-6970	126	9	that	that	SCONJ
ejpam-6970	126	10	t	t	PROPN
ejpam-6970	126	11	maps	map	NOUN
ejpam-6970	126	12	bounded	bound	VERB
ejpam-6970	126	13	sets	set	NOUN
ejpam-6970	126	14	into	into	ADP
ejpam-6970	126	15	bounded	bounded	ADJ
ejpam-6970	126	16	sets	set	NOUN
ejpam-6970	126	17	.	.	PUNCT
ejpam-6970	127	1	let	let	VERB
ejpam-6970	127	2	bq	bq	INTJ
ejpam-6970	127	3	=	=	PRON
ejpam-6970	127	4	{	{	PUNCT
ejpam-6970	127	5	y	y	PROPN
ejpam-6970	127	6	∈	∈	PROPN
ejpam-6970	127	7	x	x	X
ejpam-6970	127	8	:	:	PUNCT
ejpam-6970	127	9	∥y∥	∥y∥	X
ejpam-6970	127	10	≤	≤	X
ejpam-6970	127	11	q	q	X
ejpam-6970	127	12	}	}	PUNCT
ejpam-6970	127	13	.	.	PUNCT
ejpam-6970	128	1	for	for	ADP
ejpam-6970	128	2	any	any	DET
ejpam-6970	128	3	y	y	PROPN
ejpam-6970	128	4	∈	∈	PROPN
ejpam-6970	128	5	bq	bq	NOUN
ejpam-6970	128	6	and	and	CCONJ
ejpam-6970	128	7	τ	τ	PROPN
ejpam-6970	128	8	∈	∈	PROPN
ejpam-6970	129	1	[	[	X
ejpam-6970	129	2	0	0	NUM
ejpam-6970	129	3	,	,	PUNCT
ejpam-6970	129	4	1	1	NUM
ejpam-6970	129	5	]	]	PUNCT
ejpam-6970	129	6	,	,	PUNCT
ejpam-6970	129	7	we	we	PRON
ejpam-6970	129	8	have	have	VERB
ejpam-6970	129	9	:	:	PUNCT
ejpam-6970	129	10	|(ty)(τ)|	|(ty)(τ)|	PROPN
ejpam-6970	129	11	≤	≤	PRON
ejpam-6970	129	12	|y0|+	|y0|+	NUM
ejpam-6970	129	13	ς1|f(τ)|+	ς1|f(τ)|+	VERB
ejpam-6970	129	14	ς1	ς1	NUM
ejpam-6970	129	15	∫	∫	PROPN
ejpam-6970	129	16	τ	τ	X
ejpam-6970	129	17	0	0	X
ejpam-6970	130	1	|k(τ	|k(τ	NOUN
ejpam-6970	130	2	,	,	PUNCT
ejpam-6970	130	3	t)||y(t)|dt+	t)||y(t)|dt+	NOUN
ejpam-6970	130	4	ς3	ς3	VERB
ejpam-6970	130	5	∫	∫	PROPN
ejpam-6970	130	6	τ	τ	X
ejpam-6970	130	7	0	0	NUM
ejpam-6970	130	8	(	(	PUNCT
ejpam-6970	130	9	τ	τ	X
ejpam-6970	130	10	−	−	PROPN
ejpam-6970	130	11	t)β−1|f(t)|dt	t)β−1|f(t)|dt	X
ejpam-6970	130	12	+	+	CCONJ
ejpam-6970	130	13	ς3	ς3	NOUN
ejpam-6970	130	14	∫	∫	PROPN
ejpam-6970	130	15	τ	τ	X
ejpam-6970	130	16	0	0	NUM
ejpam-6970	130	17	∫	∫	PROPN
ejpam-6970	130	18	s	s	PART
ejpam-6970	130	19	0	0	NUM
ejpam-6970	130	20	(	(	PUNCT
ejpam-6970	130	21	s−	s−	PROPN
ejpam-6970	130	22	t)β−1|k(s	t)β−1|k(s	ADP
ejpam-6970	130	23	,	,	PUNCT
ejpam-6970	130	24	t)||y(t)|dtds	t)||y(t)|dtds	ADV
ejpam-6970	130	25	≤	≤	ADV
ejpam-6970	130	26	|y0|+	|y0|+	X
ejpam-6970	131	1	ς1ς4	ς1ς4	PUNCT
ejpam-6970	132	1	+	+	NUM
ejpam-6970	132	2	ς1ς2qτ	ς1ς2qτ	PUNCT
ejpam-6970	133	1	+	+	CCONJ
ejpam-6970	133	2	ς3ς4	ς3ς4	X
ejpam-6970	133	3	τβ	τβ	ADP
ejpam-6970	133	4	β	β	NOUN
ejpam-6970	133	5	+	+	NOUN
ejpam-6970	133	6	ς3ς2q	ς3ς2q	NUM
ejpam-6970	133	7	τβ+1	τβ+1	ADP
ejpam-6970	133	8	γ(β	γ(β	PROPN
ejpam-6970	133	9	+	+	CCONJ
ejpam-6970	133	10	2	2	NUM
ejpam-6970	133	11	)	)	PUNCT
ejpam-6970	133	12	.	.	PUNCT
ejpam-6970	134	1	kamran	kamran	PROPN
ejpam-6970	134	2	et	et	PROPN
ejpam-6970	134	3	al	al	PROPN
ejpam-6970	134	4	.	.	PUNCT
ejpam-6970	134	5	/	/	SYM
ejpam-6970	134	6	eur	eur	PROPN
ejpam-6970	134	7	.	.	PUNCT
ejpam-6970	135	1	j.	j.	PROPN
ejpam-6970	135	2	pure	pure	PROPN
ejpam-6970	135	3	appl	appl	PROPN
ejpam-6970	135	4	.	.	PROPN
ejpam-6970	135	5	math	math	PROPN
ejpam-6970	135	6	,	,	PUNCT
ejpam-6970	135	7	18	18	NUM
ejpam-6970	135	8	(	(	PUNCT
ejpam-6970	135	9	4	4	NUM
ejpam-6970	135	10	)	)	PUNCT
ejpam-6970	135	11	(	(	PUNCT
ejpam-6970	135	12	2025	2025	NUM
ejpam-6970	135	13	)	)	PUNCT
ejpam-6970	135	14	,	,	PUNCT
ejpam-6970	135	15	6970	6970	NUM
ejpam-6970	135	16	6	6	NUM
ejpam-6970	135	17	of	of	ADP
ejpam-6970	135	18	22	22	NUM
ejpam-6970	135	19	since	since	SCONJ
ejpam-6970	135	20	τ	τ	PROPN
ejpam-6970	135	21	∈	∈	PROPN
ejpam-6970	136	1	[	[	X
ejpam-6970	136	2	0	0	NUM
ejpam-6970	136	3	,	,	PUNCT
ejpam-6970	136	4	1	1	NUM
ejpam-6970	136	5	]	]	PUNCT
ejpam-6970	136	6	,	,	PUNCT
ejpam-6970	136	7	the	the	DET
ejpam-6970	136	8	right	right	ADJ
ejpam-6970	136	9	-	-	PUNCT
ejpam-6970	136	10	hand	hand	NOUN
ejpam-6970	136	11	side	side	NOUN
ejpam-6970	136	12	is	be	AUX
ejpam-6970	136	13	bounded	bound	VERB
ejpam-6970	136	14	by	by	ADP
ejpam-6970	136	15	a	a	DET
ejpam-6970	136	16	constant	constant	ADJ
ejpam-6970	136	17	m(q	m(q	PROPN
ejpam-6970	136	18	)	)	PUNCT
ejpam-6970	136	19	independent	independent	NOUN
ejpam-6970	136	20	of	of	ADP
ejpam-6970	136	21	τ	τ	PROPN
ejpam-6970	136	22	and	and	CCONJ
ejpam-6970	136	23	y	y	PROPN
ejpam-6970	136	24	∈	∈	PROPN
ejpam-6970	136	25	bq	bq	INTJ
ejpam-6970	136	26	.	.	PUNCT
ejpam-6970	137	1	hence	hence	ADV
ejpam-6970	137	2	,	,	PUNCT
ejpam-6970	137	3	t	t	PROPN
ejpam-6970	137	4	(	(	PUNCT
ejpam-6970	137	5	bq	bq	INTJ
ejpam-6970	137	6	)	)	PUNCT
ejpam-6970	137	7	is	be	AUX
ejpam-6970	137	8	bounded	bound	VERB
ejpam-6970	137	9	.	.	PUNCT
ejpam-6970	138	1	step	step	NOUN
ejpam-6970	138	2	3	3	NUM
ejpam-6970	138	3	:	:	PUNCT
ejpam-6970	138	4	equicontinuity	equicontinuity	NOUN
ejpam-6970	138	5	and	and	CCONJ
ejpam-6970	138	6	compactness	compactness	NOUN
ejpam-6970	138	7	of	of	ADP
ejpam-6970	138	8	t	t	NOUN
ejpam-6970	138	9	we	we	PRON
ejpam-6970	138	10	show	show	VERB
ejpam-6970	138	11	that	that	SCONJ
ejpam-6970	138	12	t	t	PROPN
ejpam-6970	138	13	maps	map	NOUN
ejpam-6970	138	14	bounded	bound	VERB
ejpam-6970	138	15	sets	set	NOUN
ejpam-6970	138	16	into	into	ADP
ejpam-6970	138	17	equicontinuous	equicontinuous	ADJ
ejpam-6970	138	18	sets	set	NOUN
ejpam-6970	138	19	.	.	PUNCT
ejpam-6970	139	1	let	let	VERB
ejpam-6970	139	2	y	y	PROPN
ejpam-6970	139	3	∈	∈	PROPN
ejpam-6970	139	4	bq	bq	NOUN
ejpam-6970	139	5	and	and	CCONJ
ejpam-6970	139	6	τ1	τ1	NOUN
ejpam-6970	139	7	,	,	PUNCT
ejpam-6970	139	8	τ2	τ2	NOUN
ejpam-6970	139	9	∈	∈	PROPN
ejpam-6970	140	1	[	[	X
ejpam-6970	140	2	0	0	NUM
ejpam-6970	140	3	,	,	PUNCT
ejpam-6970	140	4	1	1	NUM
ejpam-6970	140	5	]	]	PUNCT
ejpam-6970	140	6	with	with	ADP
ejpam-6970	140	7	τ1	τ1	NOUN
ejpam-6970	140	8	<	<	X
ejpam-6970	140	9	τ2	τ2	PROPN
ejpam-6970	140	10	.	.	PUNCT
ejpam-6970	141	1	then	then	ADV
ejpam-6970	141	2	,	,	PUNCT
ejpam-6970	141	3	|(ty)(τ2)−	|(ty)(τ2)−	NOUN
ejpam-6970	141	4	(	(	PUNCT
ejpam-6970	141	5	ty)(τ1)|	ty)(τ1)|	PROPN
ejpam-6970	141	6	≤	≤	NUM
ejpam-6970	141	7	ς1|f(τ2)−	ς1|f(τ2)−	ADJ
ejpam-6970	141	8	f(τ1)|+	f(τ1)|+	PROPN
ejpam-6970	141	9	ς1	ς1	NOUN
ejpam-6970	141	10	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6970	141	11	τ2	τ2	NOUN
ejpam-6970	141	12	0	0	NUM
ejpam-6970	141	13	k(τ2	k(τ2	NOUN
ejpam-6970	141	14	,	,	PUNCT
ejpam-6970	141	15	t)y(t)dt−	t)y(t)dt−	ADJ
ejpam-6970	141	16	∫	∫	PROPN
ejpam-6970	141	17	τ1	τ1	PROPN
ejpam-6970	141	18	0	0	NUM
ejpam-6970	141	19	k(τ1	k(τ1	NOUN
ejpam-6970	141	20	,	,	PUNCT
ejpam-6970	141	21	t)y(t)dt	t)y(t)dt	PROPN
ejpam-6970	141	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6970	141	23	+	+	CCONJ
ejpam-6970	141	24	ς3	ς3	VERB
ejpam-6970	141	25	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6970	141	26	τ2	τ2	NOUN
ejpam-6970	141	27	0	0	NUM
ejpam-6970	142	1	(	(	PUNCT
ejpam-6970	142	2	τ2	τ2	NOUN
ejpam-6970	142	3	−	−	PROPN
ejpam-6970	142	4	t)β−1f(t)dt−	t)β−1f(t)dt−	DET
ejpam-6970	142	5	∫	∫	NOUN
ejpam-6970	142	6	τ1	τ1	PROPN
ejpam-6970	142	7	0	0	NUM
ejpam-6970	143	1	(	(	PUNCT
ejpam-6970	143	2	τ1	τ1	NOUN
ejpam-6970	143	3	−	−	PROPN
ejpam-6970	143	4	t)β−1f(t)dt	t)β−1f(t)dt	PROPN
ejpam-6970	143	5	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6970	143	6	+	+	CCONJ
ejpam-6970	143	7	ς3	ς3	VERB
ejpam-6970	143	8	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6970	143	9	τ2	τ2	NOUN
ejpam-6970	143	10	0	0	NUM
ejpam-6970	143	11	∫	∫	PROPN
ejpam-6970	143	12	s	s	PART
ejpam-6970	143	13	0	0	NUM
ejpam-6970	143	14	(	(	PUNCT
ejpam-6970	143	15	s−	s−	PROPN
ejpam-6970	143	16	t)β−1k(s	t)β−1k(s	PROPN
ejpam-6970	143	17	,	,	PUNCT
ejpam-6970	143	18	t)y(t)dtds−	t)y(t)dtds−	PROPN
ejpam-6970	143	19	∫	∫	VERB
ejpam-6970	144	1	τ1	τ1	NOUN
ejpam-6970	144	2	0	0	NUM
ejpam-6970	144	3	∫	∫	PROPN
ejpam-6970	144	4	s	s	PART
ejpam-6970	144	5	0	0	NUM
ejpam-6970	144	6	(	(	PUNCT
ejpam-6970	144	7	s−	s−	PROPN
ejpam-6970	144	8	t)β−1k(s	t)β−1k(s	ADP
ejpam-6970	144	9	,	,	PUNCT
ejpam-6970	144	10	t)y(t)dtds	t)y(t)dtds	PRON
ejpam-6970	144	11	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6970	144	12	.	.	PUNCT
ejpam-6970	145	1	the	the	DET
ejpam-6970	145	2	first	first	ADJ
ejpam-6970	145	3	term	term	NOUN
ejpam-6970	145	4	tends	tend	VERB
ejpam-6970	145	5	to	to	ADP
ejpam-6970	145	6	zero	zero	NUM
ejpam-6970	145	7	as	as	ADP
ejpam-6970	145	8	|τ2	|τ2	PROPN
ejpam-6970	145	9	−	−	PROPN
ejpam-6970	145	10	τ1|	τ1|	PROPN
ejpam-6970	145	11	→	→	SYM
ejpam-6970	145	12	0	0	NUM
ejpam-6970	145	13	by	by	ADP
ejpam-6970	145	14	the	the	DET
ejpam-6970	145	15	uniform	uniform	ADJ
ejpam-6970	145	16	continuity	continuity	NOUN
ejpam-6970	145	17	of	of	ADP
ejpam-6970	145	18	f	f	PROPN
ejpam-6970	145	19	on	on	ADP
ejpam-6970	145	20	[	[	X
ejpam-6970	145	21	0	0	NUM
ejpam-6970	145	22	,	,	PUNCT
ejpam-6970	145	23	1	1	NUM
ejpam-6970	145	24	]	]	PUNCT
ejpam-6970	145	25	.	.	PUNCT
ejpam-6970	146	1	the	the	DET
ejpam-6970	146	2	remaining	remain	VERB
ejpam-6970	146	3	terms	term	NOUN
ejpam-6970	146	4	involve	involve	VERB
ejpam-6970	146	5	integrals	integral	NOUN
ejpam-6970	146	6	over	over	ADP
ejpam-6970	146	7	intervals	interval	NOUN
ejpam-6970	146	8	whose	whose	DET
ejpam-6970	146	9	lengths	length	NOUN
ejpam-6970	146	10	tend	tend	VERB
ejpam-6970	146	11	to	to	ADP
ejpam-6970	146	12	zero	zero	NUM
ejpam-6970	146	13	,	,	PUNCT
ejpam-6970	146	14	and	and	CCONJ
ejpam-6970	146	15	the	the	DET
ejpam-6970	146	16	integrands	integrand	NOUN
ejpam-6970	146	17	are	be	AUX
ejpam-6970	146	18	bounded	bound	VERB
ejpam-6970	146	19	.	.	PUNCT
ejpam-6970	147	1	standard	standard	ADJ
ejpam-6970	147	2	estimates	estimate	NOUN
ejpam-6970	147	3	show	show	VERB
ejpam-6970	147	4	that	that	SCONJ
ejpam-6970	147	5	each	each	DET
ejpam-6970	147	6	term	term	NOUN
ejpam-6970	147	7	can	can	AUX
ejpam-6970	147	8	be	be	AUX
ejpam-6970	147	9	made	make	VERB
ejpam-6970	147	10	arbitrarily	arbitrarily	ADV
ejpam-6970	147	11	small	small	ADJ
ejpam-6970	147	12	independently	independently	ADV
ejpam-6970	147	13	of	of	ADP
ejpam-6970	147	14	y	y	PROPN
ejpam-6970	147	15	∈	∈	PROPN
ejpam-6970	147	16	bq	bq	PROPN
ejpam-6970	147	17	.	.	PUNCT
ejpam-6970	148	1	therefore	therefore	ADV
ejpam-6970	148	2	,	,	PUNCT
ejpam-6970	148	3	t	t	PROPN
ejpam-6970	148	4	(	(	PUNCT
ejpam-6970	148	5	bq	bq	INTJ
ejpam-6970	148	6	)	)	PUNCT
ejpam-6970	148	7	is	be	AUX
ejpam-6970	148	8	equicontinuous	equicontinuous	ADJ
ejpam-6970	148	9	.	.	PUNCT
ejpam-6970	149	1	by	by	ADP
ejpam-6970	149	2	the	the	DET
ejpam-6970	149	3	arzelà-ascoli	arzelà-ascoli	NOUN
ejpam-6970	149	4	theorem	theorem	PROPN
ejpam-6970	149	5	,	,	PUNCT
ejpam-6970	149	6	t	t	PROPN
ejpam-6970	149	7	is	be	AUX
ejpam-6970	149	8	compact	compact	ADJ
ejpam-6970	149	9	.	.	PUNCT
ejpam-6970	150	1	step	step	NOUN
ejpam-6970	150	2	4	4	NUM
ejpam-6970	150	3	:	:	PUNCT
ejpam-6970	150	4	a	a	DET
ejpam-6970	150	5	priori	priori	ADJ
ejpam-6970	150	6	boundedness	boundedness	NOUN
ejpam-6970	150	7	and	and	CCONJ
ejpam-6970	150	8	schaefer	schaefer	PROPN
ejpam-6970	150	9	’s	’s	PART
ejpam-6970	150	10	theorem	theorem	NOUN
ejpam-6970	150	11	let	let	VERB
ejpam-6970	150	12	s	s	PRON
ejpam-6970	150	13	=	=	PUNCT
ejpam-6970	150	14	{	{	PUNCT
ejpam-6970	150	15	y	y	PROPN
ejpam-6970	150	16	∈	∈	PROPN
ejpam-6970	150	17	x	x	X
ejpam-6970	150	18	:	:	PUNCT
ejpam-6970	150	19	y	y	NOUN
ejpam-6970	150	20	=	=	PUNCT
ejpam-6970	150	21	λty	λty	NOUN
ejpam-6970	150	22	for	for	ADP
ejpam-6970	150	23	some	some	DET
ejpam-6970	150	24	λ	λ	NOUN
ejpam-6970	150	25	∈	∈	PROPN
ejpam-6970	150	26	(	(	PUNCT
ejpam-6970	150	27	0	0	NUM
ejpam-6970	150	28	,	,	PUNCT
ejpam-6970	150	29	1	1	NUM
ejpam-6970	150	30	)	)	PUNCT
ejpam-6970	150	31	}	}	PUNCT
ejpam-6970	150	32	.	.	PUNCT
ejpam-6970	151	1	for	for	ADP
ejpam-6970	151	2	any	any	DET
ejpam-6970	151	3	y	y	PROPN
ejpam-6970	151	4	∈	∈	PROPN
ejpam-6970	151	5	s	s	PART
ejpam-6970	151	6	,	,	PUNCT
ejpam-6970	151	7	we	we	PRON
ejpam-6970	151	8	have	have	VERB
ejpam-6970	151	9	y	y	NOUN
ejpam-6970	151	10	=	=	SYM
ejpam-6970	151	11	λty	λty	PROPN
ejpam-6970	151	12	,	,	PUNCT
ejpam-6970	151	13	so	so	ADV
ejpam-6970	151	14	|y(τ)|	|y(τ)|	PROPN
ejpam-6970	151	15	≤	≤	ADJ
ejpam-6970	151	16	|(ty)(τ)|	|(ty)(τ)|	PROPN
ejpam-6970	151	17	.	.	PUNCT
ejpam-6970	152	1	using	use	VERB
ejpam-6970	152	2	the	the	DET
ejpam-6970	152	3	estimate	estimate	NOUN
ejpam-6970	152	4	from	from	ADP
ejpam-6970	152	5	step	step	NOUN
ejpam-6970	152	6	2	2	NUM
ejpam-6970	152	7	with	with	ADP
ejpam-6970	152	8	q	q	NOUN
ejpam-6970	152	9	=	=	PUNCT
ejpam-6970	152	10	∥y∥	∥y∥	NOUN
ejpam-6970	152	11	,	,	PUNCT
ejpam-6970	152	12	we	we	PRON
ejpam-6970	152	13	get	get	VERB
ejpam-6970	152	14	:	:	PUNCT
ejpam-6970	152	15	∥y∥	∥y∥	NOUN
ejpam-6970	152	16	≤	≤	NOUN
ejpam-6970	152	17	|y0|+	|y0|+	X
ejpam-6970	153	1	ς1ς4	ς1ς4	PUNCT
ejpam-6970	154	1	+	+	NUM
ejpam-6970	154	2	ς1ς2∥y∥+	ς1ς2∥y∥+	NOUN
ejpam-6970	154	3	ς3ς4	ς3ς4	NUM
ejpam-6970	154	4	1	1	NUM
ejpam-6970	154	5	β	β	X
ejpam-6970	154	6	+	+	X
ejpam-6970	154	7	ς3ς2∥y∥	ς3ς2∥y∥	NUM
ejpam-6970	154	8	1	1	NUM
ejpam-6970	154	9	γ(β	γ(β	PROPN
ejpam-6970	154	10	+	+	CCONJ
ejpam-6970	154	11	2	2	NUM
ejpam-6970	154	12	)	)	PUNCT
ejpam-6970	154	13	.	.	PUNCT
ejpam-6970	155	1	rearranging	rearrange	VERB
ejpam-6970	155	2	terms	term	NOUN
ejpam-6970	155	3	yields	yield	VERB
ejpam-6970	155	4	:	:	PUNCT
ejpam-6970	155	5	∥y∥	∥y∥	NOUN
ejpam-6970	155	6	(	(	PUNCT
ejpam-6970	155	7	1−	1−	NUM
ejpam-6970	155	8	ς1ς2	ς1ς2	X
ejpam-6970	155	9	−	−	PROPN
ejpam-6970	155	10	ς3ς2	ς3ς2	NOUN
ejpam-6970	155	11	γ(β	γ(β	PROPN
ejpam-6970	155	12	+	+	CCONJ
ejpam-6970	155	13	2	2	NUM
ejpam-6970	155	14	)	)	PUNCT
ejpam-6970	155	15	)	)	PUNCT
ejpam-6970	155	16	≤	≤	NOUN
ejpam-6970	155	17	|y0|+	|y0|+	X
ejpam-6970	156	1	ς1ς4	ς1ς4	PUNCT
ejpam-6970	157	1	+	+	NUM
ejpam-6970	157	2	ς3ς4	ς3ς4	PRON
ejpam-6970	157	3	β	β	X
ejpam-6970	157	4	.	.	PUNCT
ejpam-6970	158	1	by	by	ADP
ejpam-6970	158	2	the	the	DET
ejpam-6970	158	3	given	give	VERB
ejpam-6970	158	4	condition	condition	NOUN
ejpam-6970	158	5	,	,	PUNCT
ejpam-6970	158	6	the	the	DET
ejpam-6970	158	7	coefficient	coefficient	NOUN
ejpam-6970	158	8	on	on	ADP
ejpam-6970	158	9	the	the	DET
ejpam-6970	158	10	left	left	NOUN
ejpam-6970	158	11	is	be	AUX
ejpam-6970	158	12	positive	positive	ADJ
ejpam-6970	158	13	.	.	PUNCT
ejpam-6970	159	1	hence	hence	ADV
ejpam-6970	159	2	,	,	PUNCT
ejpam-6970	159	3	∥y∥	∥y∥	PROPN
ejpam-6970	159	4	is	be	AUX
ejpam-6970	159	5	bounded	bound	VERB
ejpam-6970	159	6	by	by	ADP
ejpam-6970	159	7	a	a	DET
ejpam-6970	159	8	constant	constant	ADJ
ejpam-6970	159	9	independent	independent	NOUN
ejpam-6970	159	10	of	of	ADP
ejpam-6970	159	11	λ	λ	PROPN
ejpam-6970	159	12	,	,	PUNCT
ejpam-6970	159	13	so	so	PRON
ejpam-6970	159	14	s	s	NOUN
ejpam-6970	159	15	is	be	AUX
ejpam-6970	159	16	bounded	bound	VERB
ejpam-6970	159	17	.	.	PUNCT
ejpam-6970	160	1	since	since	SCONJ
ejpam-6970	160	2	t	t	PROPN
ejpam-6970	160	3	is	be	AUX
ejpam-6970	160	4	continuous	continuous	ADJ
ejpam-6970	160	5	and	and	CCONJ
ejpam-6970	160	6	compact	compact	ADJ
ejpam-6970	160	7	,	,	PUNCT
ejpam-6970	160	8	and	and	CCONJ
ejpam-6970	160	9	s	s	VERB
ejpam-6970	160	10	is	be	AUX
ejpam-6970	160	11	bounded	bound	VERB
ejpam-6970	160	12	,	,	PUNCT
ejpam-6970	160	13	schaefer	schaefer	PROPN
ejpam-6970	160	14	’s	’s	PART
ejpam-6970	160	15	fixed	fix	VERB
ejpam-6970	160	16	point	point	NOUN
ejpam-6970	160	17	theorem	theorem	NOUN
ejpam-6970	160	18	implies	imply	VERB
ejpam-6970	160	19	that	that	SCONJ
ejpam-6970	160	20	t	t	PROPN
ejpam-6970	160	21	has	have	VERB
ejpam-6970	160	22	a	a	DET
ejpam-6970	160	23	fixed	fix	VERB
ejpam-6970	160	24	point	point	NOUN
ejpam-6970	160	25	,	,	PUNCT
ejpam-6970	160	26	which	which	PRON
ejpam-6970	160	27	is	be	AUX
ejpam-6970	160	28	a	a	DET
ejpam-6970	160	29	solution	solution	NOUN
ejpam-6970	160	30	to	to	ADP
ejpam-6970	160	31	(	(	PUNCT
ejpam-6970	160	32	1	1	NUM
ejpam-6970	160	33	)	)	PUNCT
ejpam-6970	160	34	.	.	PUNCT
ejpam-6970	161	1	theorem	theorem	NOUN
ejpam-6970	161	2	2	2	NUM
ejpam-6970	161	3	.	.	PUNCT
ejpam-6970	162	1	the	the	DET
ejpam-6970	162	2	solution	solution	NOUN
ejpam-6970	162	3	to	to	ADP
ejpam-6970	162	4	(	(	PUNCT
ejpam-6970	162	5	1	1	X
ejpam-6970	162	6	)	)	PUNCT
ejpam-6970	162	7	is	be	AUX
ejpam-6970	162	8	unique	unique	ADJ
ejpam-6970	162	9	.	.	PUNCT
ejpam-6970	163	1	proof	proof	NOUN
ejpam-6970	163	2	.	.	PUNCT
ejpam-6970	164	1	let	let	VERB
ejpam-6970	164	2	y1	y1	INTJ
ejpam-6970	164	3	and	and	CCONJ
ejpam-6970	164	4	y2	y2	NOUN
ejpam-6970	164	5	be	be	AUX
ejpam-6970	164	6	two	two	NUM
ejpam-6970	164	7	solutions	solution	NOUN
ejpam-6970	164	8	of	of	ADP
ejpam-6970	164	9	(	(	PUNCT
ejpam-6970	164	10	2	2	NUM
ejpam-6970	164	11	)	)	PUNCT
ejpam-6970	164	12	.	.	PUNCT
ejpam-6970	165	1	let	let	VERB
ejpam-6970	165	2	z(τ	z(τ	NUM
ejpam-6970	165	3	)	)	PUNCT
ejpam-6970	165	4	=	=	SYM
ejpam-6970	165	5	y1(τ)−	y1(τ)−	PROPN
ejpam-6970	165	6	y2(τ	y2(τ	PROPN
ejpam-6970	165	7	)	)	PUNCT
ejpam-6970	165	8	.	.	PUNCT
ejpam-6970	166	1	then	then	ADV
ejpam-6970	166	2	,	,	PUNCT
ejpam-6970	166	3	|z(τ)|	|z(τ)|	PROPN
ejpam-6970	166	4	=	=	SYM
ejpam-6970	166	5	|(ty1)(τ)−	|(ty1)(τ)−	PROPN
ejpam-6970	166	6	(	(	PUNCT
ejpam-6970	166	7	ty2)(τ)|	ty2)(τ)|	NUM
ejpam-6970	166	8	≤	≤	NUM
ejpam-6970	166	9	ς1	ς1	NUM
ejpam-6970	166	10	∫	∫	NOUN
ejpam-6970	166	11	τ	τ	X
ejpam-6970	166	12	0	0	X
ejpam-6970	166	13	|k(τ	|k(τ	PROPN
ejpam-6970	166	14	,	,	PUNCT
ejpam-6970	166	15	t)||z(t)|dt+	t)||z(t)|dt+	SYM
ejpam-6970	166	16	ς3	ς3	NOUN
ejpam-6970	166	17	∫	∫	PROPN
ejpam-6970	166	18	τ	τ	X
ejpam-6970	166	19	0	0	NUM
ejpam-6970	166	20	∫	∫	PROPN
ejpam-6970	166	21	s	s	PART
ejpam-6970	166	22	0	0	NUM
ejpam-6970	166	23	(	(	PUNCT
ejpam-6970	166	24	s−	s−	PROPN
ejpam-6970	166	25	t)β−1|k(s	t)β−1|k(s	ADP
ejpam-6970	166	26	,	,	PUNCT
ejpam-6970	166	27	t)||z(t)|dtds	t)||z(t)|dtd	VERB
ejpam-6970	166	28	≤	≤	X
ejpam-6970	166	29	ς1ς2	ς1ς2	PROPN
ejpam-6970	166	30	∫	∫	PROPN
ejpam-6970	166	31	τ	τ	PROPN
ejpam-6970	166	32	0	0	NUM
ejpam-6970	166	33	|z(t)|dt+	|z(t)|dt+	PROPN
ejpam-6970	166	34	ς3ς2	ς3ς2	NOUN
ejpam-6970	166	35	∫	∫	PROPN
ejpam-6970	166	36	τ	τ	PROPN
ejpam-6970	166	37	0	0	NUM
ejpam-6970	166	38	∫	∫	PROPN
ejpam-6970	166	39	s	s	PART
ejpam-6970	166	40	0	0	NUM
ejpam-6970	166	41	(	(	PUNCT
ejpam-6970	166	42	s−	s−	PROPN
ejpam-6970	166	43	t)β−1|z(t)|dtds	t)β−1|z(t)|dtds	PROPN
ejpam-6970	166	44	.	.	PUNCT
ejpam-6970	167	1	kamran	kamran	PROPN
ejpam-6970	167	2	et	et	PROPN
ejpam-6970	167	3	al	al	PROPN
ejpam-6970	167	4	.	.	PUNCT
ejpam-6970	167	5	/	/	SYM
ejpam-6970	167	6	eur	eur	PROPN
ejpam-6970	167	7	.	.	PUNCT
ejpam-6970	168	1	j.	j.	PROPN
ejpam-6970	168	2	pure	pure	PROPN
ejpam-6970	168	3	appl	appl	PROPN
ejpam-6970	168	4	.	.	PROPN
ejpam-6970	168	5	math	math	PROPN
ejpam-6970	168	6	,	,	PUNCT
ejpam-6970	168	7	18	18	NUM
ejpam-6970	168	8	(	(	PUNCT
ejpam-6970	168	9	4	4	NUM
ejpam-6970	168	10	)	)	PUNCT
ejpam-6970	168	11	(	(	PUNCT
ejpam-6970	168	12	2025	2025	NUM
ejpam-6970	168	13	)	)	PUNCT
ejpam-6970	168	14	,	,	PUNCT
ejpam-6970	168	15	6970	6970	NUM
ejpam-6970	168	16	7	7	NUM
ejpam-6970	168	17	of	of	ADP
ejpam-6970	168	18	22	22	NUM
ejpam-6970	168	19	to	to	PART
ejpam-6970	168	20	apply	apply	VERB
ejpam-6970	168	21	grönwall	grönwall	PROPN
ejpam-6970	168	22	’s	’s	PART
ejpam-6970	168	23	inequality	inequality	NOUN
ejpam-6970	168	24	,	,	PUNCT
ejpam-6970	168	25	we	we	PRON
ejpam-6970	168	26	note	note	VERB
ejpam-6970	168	27	that∫	that∫	PROPN
ejpam-6970	168	28	τ	τ	PROPN
ejpam-6970	168	29	0	0	NUM
ejpam-6970	168	30	∫	∫	PROPN
ejpam-6970	168	31	s	s	PART
ejpam-6970	168	32	0	0	NUM
ejpam-6970	168	33	(	(	PUNCT
ejpam-6970	169	1	s−	s−	PROPN
ejpam-6970	169	2	t)β−1|z(t)|dtds	t)β−1|z(t)|dtds	PROPN
ejpam-6970	169	3	=	=	SYM
ejpam-6970	170	1	∫	∫	PROPN
ejpam-6970	170	2	τ	τ	PROPN
ejpam-6970	170	3	0	0	X
ejpam-6970	171	1	|z(t)|	|z(t)|	PROPN
ejpam-6970	171	2	(	(	PUNCT
ejpam-6970	171	3	∫	∫	PROPN
ejpam-6970	171	4	τ	τ	PROPN
ejpam-6970	171	5	t	t	PROPN
ejpam-6970	171	6	(	(	PUNCT
ejpam-6970	171	7	s−	s−	PROPN
ejpam-6970	171	8	t)β−1ds	t)β−1ds	NOUN
ejpam-6970	171	9	)	)	PUNCT
ejpam-6970	171	10	dt	dt	NOUN
ejpam-6970	172	1	=	=	SYM
ejpam-6970	172	2	1	1	NUM
ejpam-6970	172	3	β	β	X
ejpam-6970	172	4	∫	∫	PROPN
ejpam-6970	172	5	τ	τ	X
ejpam-6970	172	6	0	0	NUM
ejpam-6970	173	1	(	(	PUNCT
ejpam-6970	173	2	τ	τ	PROPN
ejpam-6970	173	3	−	−	PROPN
ejpam-6970	173	4	t)β|z(t)|dt	t)β|z(t)|dt	PROPN
ejpam-6970	173	5	.	.	PUNCT
ejpam-6970	174	1	thus	thus	ADV
ejpam-6970	174	2	,	,	PUNCT
ejpam-6970	174	3	|z(τ)|	|z(τ)|	PROPN
ejpam-6970	174	4	≤	≤	PROPN
ejpam-6970	174	5	ς1ς2	ς1ς2	PROPN
ejpam-6970	174	6	∫	∫	PROPN
ejpam-6970	174	7	τ	τ	PROPN
ejpam-6970	174	8	0	0	NUM
ejpam-6970	174	9	|z(t)|dt+	|z(t)|dt+	PROPN
ejpam-6970	174	10	ς3ς2	ς3ς2	NOUN
ejpam-6970	174	11	β	β	X
ejpam-6970	174	12	∫	∫	PROPN
ejpam-6970	174	13	τ	τ	X
ejpam-6970	174	14	0	0	NUM
ejpam-6970	174	15	(	(	PUNCT
ejpam-6970	174	16	τ	τ	PROPN
ejpam-6970	174	17	−	−	PROPN
ejpam-6970	174	18	t)β|z(t)|dt	t)β|z(t)|dt	PROPN
ejpam-6970	174	19	.	.	PUNCT
ejpam-6970	175	1	since	since	SCONJ
ejpam-6970	175	2	(	(	PUNCT
ejpam-6970	175	3	τ	τ	PROPN
ejpam-6970	175	4	−	−	PROPN
ejpam-6970	175	5	t)β	t)β	NOUN
ejpam-6970	175	6	≤	≤	ADV
ejpam-6970	175	7	1	1	NUM
ejpam-6970	175	8	for	for	ADP
ejpam-6970	175	9	τ	τ	PROPN
ejpam-6970	175	10	,	,	PUNCT
ejpam-6970	175	11	t	t	PROPN
ejpam-6970	175	12	∈	∈	PROPN
ejpam-6970	176	1	[	[	X
ejpam-6970	176	2	0	0	NUM
ejpam-6970	176	3	,	,	PUNCT
ejpam-6970	176	4	1	1	NUM
ejpam-6970	176	5	]	]	PUNCT
ejpam-6970	176	6	,	,	PUNCT
ejpam-6970	176	7	we	we	PRON
ejpam-6970	176	8	have	have	VERB
ejpam-6970	176	9	|z(τ)|	|z(τ)|	PROPN
ejpam-6970	176	10	≤	≤	PROPN
ejpam-6970	176	11	(	(	PUNCT
ejpam-6970	176	12	ς1ς2	ς1ς2	X
ejpam-6970	176	13	+	+	CCONJ
ejpam-6970	176	14	ς3ς2	ς3ς2	X
ejpam-6970	176	15	β	β	X
ejpam-6970	176	16	)	)	PUNCT
ejpam-6970	176	17	∫	∫	PROPN
ejpam-6970	177	1	τ	τ	PROPN
ejpam-6970	177	2	0	0	NUM
ejpam-6970	178	1	|z(t)|dt	|z(t)|dt	NOUN
ejpam-6970	178	2	.	.	PUNCT
ejpam-6970	179	1	by	by	ADP
ejpam-6970	179	2	the	the	DET
ejpam-6970	179	3	integral	integral	ADJ
ejpam-6970	179	4	form	form	NOUN
ejpam-6970	179	5	of	of	ADP
ejpam-6970	179	6	grönwall	grönwall	PROPN
ejpam-6970	179	7	’s	’s	PART
ejpam-6970	179	8	inequality	inequality	NOUN
ejpam-6970	179	9	(	(	PUNCT
ejpam-6970	179	10	with	with	ADP
ejpam-6970	179	11	constant	constant	ADJ
ejpam-6970	179	12	kernel	kernel	NOUN
ejpam-6970	179	13	)	)	PUNCT
ejpam-6970	179	14	,	,	PUNCT
ejpam-6970	179	15	we	we	PRON
ejpam-6970	179	16	conclude	conclude	VERB
ejpam-6970	179	17	that	that	SCONJ
ejpam-6970	179	18	|z(τ)|	|z(τ)|	PROPN
ejpam-6970	179	19	=	=	X
ejpam-6970	179	20	0	0	NUM
ejpam-6970	179	21	for	for	ADP
ejpam-6970	179	22	all	all	DET
ejpam-6970	179	23	τ	τ	PRON
ejpam-6970	179	24	∈	∈	PROPN
ejpam-6970	180	1	[	[	X
ejpam-6970	180	2	0	0	NUM
ejpam-6970	180	3	,	,	PUNCT
ejpam-6970	180	4	1	1	NUM
ejpam-6970	180	5	]	]	PUNCT
ejpam-6970	180	6	.	.	PUNCT
ejpam-6970	181	1	hence	hence	ADV
ejpam-6970	181	2	,	,	PUNCT
ejpam-6970	181	3	y1	y1	INTJ
ejpam-6970	181	4	=	=	SYM
ejpam-6970	181	5	y2	y2	PROPN
ejpam-6970	181	6	,	,	PUNCT
ejpam-6970	181	7	proving	prove	VERB
ejpam-6970	181	8	uniqueness	uniqueness	NOUN
ejpam-6970	181	9	.	.	PUNCT
ejpam-6970	182	1	3	3	X
ejpam-6970	182	2	.	.	X
ejpam-6970	182	3	methodology	methodology	NOUN
ejpam-6970	182	4	in	in	ADP
ejpam-6970	182	5	this	this	DET
ejpam-6970	182	6	section	section	NOUN
ejpam-6970	182	7	,	,	PUNCT
ejpam-6970	182	8	we	we	PRON
ejpam-6970	182	9	outline	outline	VERB
ejpam-6970	182	10	the	the	DET
ejpam-6970	182	11	proposed	propose	VERB
ejpam-6970	182	12	numerical	numerical	ADJ
ejpam-6970	182	13	strategy	strategy	NOUN
ejpam-6970	182	14	for	for	ADP
ejpam-6970	182	15	solving	solve	VERB
ejpam-6970	182	16	fovides	fovide	NOUN
ejpam-6970	182	17	involving	involve	VERB
ejpam-6970	182	18	the	the	DET
ejpam-6970	182	19	mabc	mabc	ADJ
ejpam-6970	182	20	derivative	derivative	NOUN
ejpam-6970	182	21	.	.	PUNCT
ejpam-6970	183	1	the	the	DET
ejpam-6970	183	2	approach	approach	NOUN
ejpam-6970	183	3	unfolds	unfold	VERB
ejpam-6970	183	4	in	in	ADP
ejpam-6970	183	5	the	the	DET
ejpam-6970	183	6	following	follow	VERB
ejpam-6970	183	7	sequence	sequence	NOUN
ejpam-6970	183	8	:	:	PUNCT
ejpam-6970	183	9	•	•	NUM
ejpam-6970	183	10	we	we	PRON
ejpam-6970	183	11	begin	begin	VERB
ejpam-6970	183	12	by	by	ADP
ejpam-6970	183	13	applying	apply	VERB
ejpam-6970	183	14	the	the	DET
ejpam-6970	183	15	laplace	laplace	NOUN
ejpam-6970	183	16	transform	transform	NOUN
ejpam-6970	183	17	to	to	PART
ejpam-6970	183	18	turn	turn	VERB
ejpam-6970	183	19	the	the	DET
ejpam-6970	183	20	given	give	VERB
ejpam-6970	183	21	fovide	fovide	NOUN
ejpam-6970	183	22	into	into	ADP
ejpam-6970	183	23	a	a	DET
ejpam-6970	183	24	more	more	ADV
ejpam-6970	183	25	manageable	manageable	ADJ
ejpam-6970	183	26	algebraic	algebraic	ADJ
ejpam-6970	183	27	equation	equation	NOUN
ejpam-6970	183	28	in	in	ADP
ejpam-6970	183	29	the	the	DET
ejpam-6970	183	30	laplace	laplace	NOUN
ejpam-6970	183	31	domain	domain	NOUN
ejpam-6970	183	32	,	,	PUNCT
ejpam-6970	183	33	•	•	ADP
ejpam-6970	183	34	this	this	DET
ejpam-6970	183	35	transformed	transform	VERB
ejpam-6970	183	36	equation	equation	NOUN
ejpam-6970	183	37	is	be	AUX
ejpam-6970	183	38	then	then	ADV
ejpam-6970	183	39	solved	solve	VERB
ejpam-6970	183	40	within	within	ADP
ejpam-6970	183	41	that	that	DET
ejpam-6970	183	42	domain	domain	NOUN
ejpam-6970	183	43	,	,	PUNCT
ejpam-6970	183	44	•	•	ADP
ejpam-6970	183	45	to	to	PART
ejpam-6970	183	46	retrieve	retrieve	VERB
ejpam-6970	183	47	the	the	DET
ejpam-6970	183	48	solution	solution	NOUN
ejpam-6970	183	49	in	in	ADP
ejpam-6970	183	50	its	its	PRON
ejpam-6970	183	51	original	original	ADJ
ejpam-6970	183	52	form	form	NOUN
ejpam-6970	183	53	,	,	PUNCT
ejpam-6970	183	54	we	we	PRON
ejpam-6970	183	55	apply	apply	VERB
ejpam-6970	183	56	the	the	DET
ejpam-6970	183	57	inverse	inverse	NOUN
ejpam-6970	183	58	laplace	laplace	NOUN
ejpam-6970	183	59	transform	transform	NOUN
ejpam-6970	183	60	.	.	PUNCT
ejpam-6970	184	1	however	however	ADV
ejpam-6970	184	2	,	,	PUNCT
ejpam-6970	184	3	since	since	SCONJ
ejpam-6970	184	4	analytical	analytical	ADJ
ejpam-6970	184	5	inversion	inversion	NOUN
ejpam-6970	184	6	is	be	AUX
ejpam-6970	184	7	often	often	ADV
ejpam-6970	184	8	intractable	intractable	ADJ
ejpam-6970	184	9	,	,	PUNCT
ejpam-6970	184	10	we	we	PRON
ejpam-6970	184	11	employ	employ	VERB
ejpam-6970	184	12	numerical	numerical	ADJ
ejpam-6970	184	13	techniques	technique	NOUN
ejpam-6970	184	14	.	.	PUNCT
ejpam-6970	185	1	specifically	specifically	ADV
ejpam-6970	185	2	,	,	PUNCT
ejpam-6970	185	3	we	we	PRON
ejpam-6970	185	4	utilize	utilize	VERB
ejpam-6970	185	5	the	the	DET
ejpam-6970	185	6	gauss	gauss	ADJ
ejpam-6970	185	7	-	-	PUNCT
ejpam-6970	185	8	hermite	hermite	ADJ
ejpam-6970	185	9	quadrature	quadrature	NOUN
ejpam-6970	185	10	and	and	CCONJ
ejpam-6970	185	11	the	the	DET
ejpam-6970	185	12	improved	improved	ADJ
ejpam-6970	185	13	talbot	talbot	PROPN
ejpam-6970	185	14	’s	’s	PART
ejpam-6970	185	15	method	method	NOUN
ejpam-6970	185	16	to	to	PART
ejpam-6970	185	17	efficiently	efficiently	ADV
ejpam-6970	185	18	approximate	approximate	VERB
ejpam-6970	185	19	the	the	DET
ejpam-6970	185	20	inverse	inverse	ADJ
ejpam-6970	185	21	laplace	laplace	NOUN
ejpam-6970	185	22	transform	transform	NOUN
ejpam-6970	185	23	and	and	CCONJ
ejpam-6970	185	24	obtain	obtain	VERB
ejpam-6970	185	25	the	the	DET
ejpam-6970	185	26	final	final	ADJ
ejpam-6970	185	27	solution	solution	NOUN
ejpam-6970	185	28	.	.	PUNCT
ejpam-6970	186	1	applying	apply	VERB
ejpam-6970	186	2	the	the	DET
ejpam-6970	186	3	laplace	laplace	NOUN
ejpam-6970	186	4	transform	transform	NOUN
ejpam-6970	186	5	to	to	ADP
ejpam-6970	186	6	(	(	PUNCT
ejpam-6970	186	7	1	1	NUM
ejpam-6970	186	8	)	)	PUNCT
ejpam-6970	186	9	,	,	PUNCT
ejpam-6970	186	10	we	we	PRON
ejpam-6970	186	11	obtain	obtain	VERB
ejpam-6970	186	12	l	l	NOUN
ejpam-6970	186	13	{	{	PUNCT
ejpam-6970	186	14	mabc	mabc	NOUN
ejpam-6970	186	15	0	0	NUM
ejpam-6970	187	1	dβ	dβ	ADP
ejpam-6970	187	2	τ	τ	PROPN
ejpam-6970	187	3	y(τ	y(τ	PROPN
ejpam-6970	187	4	)	)	PUNCT
ejpam-6970	187	5	}	}	PUNCT
ejpam-6970	187	6	=	=	PUNCT
ejpam-6970	187	7	l	l	NOUN
ejpam-6970	187	8	{	{	PUNCT
ejpam-6970	187	9	f(τ	f(τ	PROPN
ejpam-6970	187	10	)	)	PUNCT
ejpam-6970	188	1	+	+	CCONJ
ejpam-6970	188	2	∫	∫	PROPN
ejpam-6970	188	3	τ	τ	PROPN
ejpam-6970	188	4	0	0	PROPN
ejpam-6970	188	5	k(τ	k(τ	PROPN
ejpam-6970	188	6	,	,	PUNCT
ejpam-6970	188	7	t)y(τ)dt	t)y(τ)dt	NOUN
ejpam-6970	188	8	}	}	PUNCT
ejpam-6970	188	9	,	,	PUNCT
ejpam-6970	188	10	using	use	VERB
ejpam-6970	188	11	the	the	DET
ejpam-6970	188	12	laplace	laplace	NOUN
ejpam-6970	188	13	transform	transform	NOUN
ejpam-6970	188	14	of	of	ADP
ejpam-6970	188	15	the	the	DET
ejpam-6970	188	16	mabc	mabc	PROPN
ejpam-6970	188	17	derivative	derivative	NOUN
ejpam-6970	188	18	,	,	PUNCT
ejpam-6970	188	19	we	we	PRON
ejpam-6970	188	20	obtain	obtain	VERB
ejpam-6970	188	21	⇒	⇒	NOUN
ejpam-6970	188	22	n	n	PROPN
ejpam-6970	188	23	(	(	PUNCT
ejpam-6970	188	24	β	β	X
ejpam-6970	188	25	)	)	PUNCT
ejpam-6970	188	26	1−	1−	NUM
ejpam-6970	188	27	β	β	X
ejpam-6970	188	28	zβl{y(t	zβl{y(t	PROPN
ejpam-6970	188	29	)	)	PUNCT
ejpam-6970	188	30	}	}	PUNCT
ejpam-6970	188	31	−	−	PROPN
ejpam-6970	189	1	y(0)zβ−1	y(0)zβ−1	PROPN
ejpam-6970	189	2	zβ	zβ	PROPN
ejpam-6970	189	3	+	+	CCONJ
ejpam-6970	189	4	ν	ν	X
ejpam-6970	189	5	=	=	SYM
ejpam-6970	189	6	l{f(τ	l{f(τ	X
ejpam-6970	189	7	)	)	PUNCT
ejpam-6970	189	8	}	}	PUNCT
ejpam-6970	190	1	+	+	PUNCT
ejpam-6970	190	2	l	l	NOUN
ejpam-6970	190	3	{	{	PUNCT
ejpam-6970	190	4	∫	∫	PROPN
ejpam-6970	190	5	τ	τ	PROPN
ejpam-6970	190	6	0	0	PROPN
ejpam-6970	190	7	k(τ	k(τ	PROPN
ejpam-6970	190	8	,	,	PUNCT
ejpam-6970	190	9	t)y(τ)dt	t)y(τ)dt	NOUN
ejpam-6970	190	10	}	}	PUNCT
ejpam-6970	190	11	,	,	PUNCT
ejpam-6970	190	12	which	which	PRON
ejpam-6970	190	13	implies	imply	VERB
ejpam-6970	190	14	n	n	X
ejpam-6970	190	15	(	(	PUNCT
ejpam-6970	190	16	β	β	NOUN
ejpam-6970	190	17	)	)	PUNCT
ejpam-6970	190	18	1−	1−	NUM
ejpam-6970	190	19	β	β	X
ejpam-6970	190	20	zβy	zβy	PROPN
ejpam-6970	190	21	(	(	PUNCT
ejpam-6970	190	22	z)−	z)−	PROPN
ejpam-6970	190	23	y(0)zβ−1	y(0)zβ−1	NUM
ejpam-6970	190	24	zβ	zβ	PROPN
ejpam-6970	191	1	+	+	CCONJ
ejpam-6970	191	2	ν	ν	X
ejpam-6970	191	3	=	=	SYM
ejpam-6970	191	4	f	f	X
ejpam-6970	191	5	(	(	PUNCT
ejpam-6970	191	6	z	z	NOUN
ejpam-6970	191	7	)	)	PUNCT
ejpam-6970	192	1	+	+	ADV
ejpam-6970	192	2	k(z	k(z	PROPN
ejpam-6970	192	3	,	,	PUNCT
ejpam-6970	192	4	t)y	t)y	X
ejpam-6970	192	5	(	(	PUNCT
ejpam-6970	192	6	z	z	NOUN
ejpam-6970	192	7	)	)	PUNCT
ejpam-6970	192	8	,	,	PUNCT
ejpam-6970	192	9	y	y	PROPN
ejpam-6970	192	10	(	(	PUNCT
ejpam-6970	192	11	z	z	NOUN
ejpam-6970	192	12	)	)	PUNCT
ejpam-6970	192	13	{	{	PUNCT
ejpam-6970	192	14	n	n	PROPN
ejpam-6970	192	15	(	(	PUNCT
ejpam-6970	192	16	β	β	NOUN
ejpam-6970	192	17	)	)	PUNCT
ejpam-6970	192	18	1−	1−	NUM
ejpam-6970	192	19	β	β	NOUN
ejpam-6970	192	20	zβ	zβ	NOUN
ejpam-6970	193	1	zβ	zβ	PROPN
ejpam-6970	193	2	+	+	CCONJ
ejpam-6970	193	3	ν	ν	X
ejpam-6970	193	4	−k(z	−k(z	PROPN
ejpam-6970	193	5	,	,	PUNCT
ejpam-6970	193	6	t	t	PROPN
ejpam-6970	193	7	)	)	PUNCT
ejpam-6970	193	8	}	}	PUNCT
ejpam-6970	194	1	=	=	SYM
ejpam-6970	194	2	f	f	X
ejpam-6970	194	3	(	(	PUNCT
ejpam-6970	194	4	z	z	NOUN
ejpam-6970	194	5	)	)	PUNCT
ejpam-6970	194	6	+	+	NUM
ejpam-6970	194	7	n	n	CCONJ
ejpam-6970	194	8	(	(	PUNCT
ejpam-6970	194	9	β	β	NOUN
ejpam-6970	194	10	)	)	PUNCT
ejpam-6970	194	11	1−	1−	NUM
ejpam-6970	194	12	β	β	X
ejpam-6970	194	13	y(0)zβ−1	y(0)zβ−1	PROPN
ejpam-6970	194	14	zβ	zβ	PROPN
ejpam-6970	194	15	+	+	CCONJ
ejpam-6970	194	16	ν	ν	NOUN
ejpam-6970	194	17	,	,	PUNCT
ejpam-6970	194	18	kamran	kamran	PROPN
ejpam-6970	194	19	et	et	PROPN
ejpam-6970	194	20	al	al	PROPN
ejpam-6970	194	21	.	.	PUNCT
ejpam-6970	194	22	/	/	SYM
ejpam-6970	194	23	eur	eur	PROPN
ejpam-6970	194	24	.	.	PUNCT
ejpam-6970	195	1	j.	j.	PROPN
ejpam-6970	195	2	pure	pure	PROPN
ejpam-6970	195	3	appl	appl	PROPN
ejpam-6970	195	4	.	.	PROPN
ejpam-6970	195	5	math	math	PROPN
ejpam-6970	195	6	,	,	PUNCT
ejpam-6970	195	7	18	18	NUM
ejpam-6970	195	8	(	(	PUNCT
ejpam-6970	195	9	4	4	NUM
ejpam-6970	195	10	)	)	PUNCT
ejpam-6970	195	11	(	(	PUNCT
ejpam-6970	195	12	2025	2025	NUM
ejpam-6970	195	13	)	)	PUNCT
ejpam-6970	195	14	,	,	PUNCT
ejpam-6970	195	15	6970	6970	NUM
ejpam-6970	195	16	8	8	NUM
ejpam-6970	195	17	of	of	ADP
ejpam-6970	195	18	22	22	NUM
ejpam-6970	195	19	y	y	PROPN
ejpam-6970	195	20	(	(	PUNCT
ejpam-6970	195	21	z	z	NOUN
ejpam-6970	195	22	)	)	PUNCT
ejpam-6970	195	23	=	=	SYM
ejpam-6970	196	1	f	f	X
ejpam-6970	196	2	(	(	PUNCT
ejpam-6970	196	3	z	z	NOUN
ejpam-6970	196	4	)	)	PUNCT
ejpam-6970	196	5	+	+	NUM
ejpam-6970	196	6	n	n	CCONJ
ejpam-6970	196	7	(	(	PUNCT
ejpam-6970	196	8	β	β	NOUN
ejpam-6970	196	9	)	)	PUNCT
ejpam-6970	196	10	1−β	1−β	NUM
ejpam-6970	197	1	y(0)zβ−1	y(0)zβ−1	PROPN
ejpam-6970	197	2	zβ+ν	zβ+ν	PROPN
ejpam-6970	197	3	n	n	CCONJ
ejpam-6970	197	4	(	(	PUNCT
ejpam-6970	197	5	β	β	NOUN
ejpam-6970	197	6	)	)	PUNCT
ejpam-6970	197	7	1−β	1−β	NUM
ejpam-6970	198	1	zβ	zβ	NUM
ejpam-6970	198	2	zβ+ν	zβ+ν	PROPN
ejpam-6970	198	3	−k(z	−k(z	PROPN
ejpam-6970	198	4	,	,	PUNCT
ejpam-6970	198	5	t	t	PROPN
ejpam-6970	198	6	)	)	PUNCT
ejpam-6970	198	7	,	,	PUNCT
ejpam-6970	198	8	(	(	PUNCT
ejpam-6970	198	9	3	3	X
ejpam-6970	198	10	)	)	PUNCT
ejpam-6970	198	11	by	by	ADP
ejpam-6970	198	12	applying	apply	VERB
ejpam-6970	198	13	the	the	DET
ejpam-6970	198	14	inverse	inverse	ADJ
ejpam-6970	198	15	laplace	laplace	NOUN
ejpam-6970	198	16	transform	transform	NOUN
ejpam-6970	198	17	,	,	PUNCT
ejpam-6970	198	18	y(τ	y(τ	PROPN
ejpam-6970	198	19	)	)	PUNCT
ejpam-6970	199	1	=	=	SYM
ejpam-6970	199	2	l−1	l−1	PROPN
ejpam-6970	199	3	f	f	PROPN
ejpam-6970	199	4	(	(	PUNCT
ejpam-6970	199	5	z	z	NOUN
ejpam-6970	199	6	)	)	PUNCT
ejpam-6970	199	7	+	+	NUM
ejpam-6970	199	8	n	n	CCONJ
ejpam-6970	199	9	(	(	PUNCT
ejpam-6970	199	10	β	β	NOUN
ejpam-6970	199	11	)	)	PUNCT
ejpam-6970	199	12	1−β	1−β	NUM
ejpam-6970	200	1	y(0)zβ−1	y(0)zβ−1	PROPN
ejpam-6970	200	2	zβ+ν	zβ+ν	PROPN
ejpam-6970	200	3	n	n	CCONJ
ejpam-6970	200	4	(	(	PUNCT
ejpam-6970	200	5	β	β	NOUN
ejpam-6970	200	6	)	)	PUNCT
ejpam-6970	200	7	1−β	1−β	NUM
ejpam-6970	201	1	zβ	zβ	NUM
ejpam-6970	201	2	zβ+ν	zβ+ν	PROPN
ejpam-6970	201	3	−k(z	−k(z	PROPN
ejpam-6970	201	4	,	,	PUNCT
ejpam-6970	201	5	t	t	PROPN
ejpam-6970	201	6	)	)	PUNCT
ejpam-6970	201	7			NOUN
ejpam-6970	201	8	.	.	PUNCT
ejpam-6970	202	1	(	(	PUNCT
ejpam-6970	202	2	4	4	NUM
ejpam-6970	202	3	)	)	PUNCT
ejpam-6970	202	4	for	for	ADP
ejpam-6970	202	5	many	many	ADJ
ejpam-6970	202	6	functions	function	NOUN
ejpam-6970	202	7	,	,	PUNCT
ejpam-6970	202	8	it	it	PRON
ejpam-6970	202	9	is	be	AUX
ejpam-6970	202	10	not	not	PART
ejpam-6970	202	11	possible	possible	ADJ
ejpam-6970	202	12	to	to	PART
ejpam-6970	202	13	evaluate	evaluate	VERB
ejpam-6970	202	14	the	the	DET
ejpam-6970	202	15	inverse	inverse	NOUN
ejpam-6970	202	16	laplace	laplace	NOUN
ejpam-6970	202	17	transform	transform	NOUN
ejpam-6970	202	18	in	in	ADP
ejpam-6970	202	19	(	(	PUNCT
ejpam-6970	202	20	4	4	NUM
ejpam-6970	202	21	)	)	PUNCT
ejpam-6970	202	22	analytically	analytically	ADV
ejpam-6970	202	23	.	.	PUNCT
ejpam-6970	203	1	in	in	ADP
ejpam-6970	203	2	such	such	ADJ
ejpam-6970	203	3	cases	case	NOUN
ejpam-6970	203	4	,	,	PUNCT
ejpam-6970	203	5	we	we	PRON
ejpam-6970	203	6	employ	employ	VERB
ejpam-6970	203	7	numerical	numerical	ADJ
ejpam-6970	203	8	inversion	inversion	NOUN
ejpam-6970	203	9	methods	method	NOUN
ejpam-6970	203	10	.	.	PUNCT
ejpam-6970	204	1	the	the	DET
ejpam-6970	204	2	inverse	inverse	ADJ
ejpam-6970	204	3	laplace	laplace	NOUN
ejpam-6970	204	4	transform	transform	NOUN
ejpam-6970	204	5	in	in	ADP
ejpam-6970	204	6	(	(	PUNCT
ejpam-6970	204	7	4	4	NUM
ejpam-6970	204	8	)	)	PUNCT
ejpam-6970	204	9	is	be	AUX
ejpam-6970	204	10	given	give	VERB
ejpam-6970	204	11	by	by	ADP
ejpam-6970	204	12	y(τ	y(τ	PROPN
ejpam-6970	204	13	)	)	PUNCT
ejpam-6970	204	14	=	=	PUNCT
ejpam-6970	205	1	1	1	NUM
ejpam-6970	205	2	2πι	2πι	NOUN
ejpam-6970	205	3	∫	∫	NOUN
ejpam-6970	205	4	θ+i∞	θ+i∞	PROPN
ejpam-6970	205	5	θ−i∞	θ−i∞	PROPN
ejpam-6970	205	6	ezτy	ezτy	NOUN
ejpam-6970	205	7	(	(	PUNCT
ejpam-6970	205	8	z)dz	z)dz	PROPN
ejpam-6970	205	9	=	=	NOUN
ejpam-6970	206	1	1	1	NUM
ejpam-6970	206	2	2πι	2πι	NOUN
ejpam-6970	206	3	∫	∫	PROPN
ejpam-6970	206	4	γ	γ	X
ejpam-6970	206	5	ezτy	ezτy	NOUN
ejpam-6970	206	6	(	(	PUNCT
ejpam-6970	206	7	z)dz	z)dz	PROPN
ejpam-6970	206	8	.	.	PUNCT
ejpam-6970	206	9	(	(	PUNCT
ejpam-6970	206	10	5	5	NUM
ejpam-6970	206	11	)	)	PUNCT
ejpam-6970	206	12	since	since	SCONJ
ejpam-6970	206	13	directly	directly	ADV
ejpam-6970	206	14	finding	find	VERB
ejpam-6970	206	15	the	the	DET
ejpam-6970	206	16	inverse	inverse	NOUN
ejpam-6970	206	17	laplace	laplace	NOUN
ejpam-6970	206	18	transform	transform	NOUN
ejpam-6970	206	19	in	in	ADP
ejpam-6970	206	20	equation	equation	NOUN
ejpam-6970	206	21	(	(	PUNCT
ejpam-6970	206	22	4	4	X
ejpam-6970	206	23	)	)	PUNCT
ejpam-6970	206	24	is	be	AUX
ejpam-6970	206	25	often	often	ADV
ejpam-6970	206	26	intractable	intractable	ADJ
ejpam-6970	206	27	,	,	PUNCT
ejpam-6970	206	28	particularly	particularly	ADV
ejpam-6970	206	29	due	due	ADJ
ejpam-6970	206	30	to	to	ADP
ejpam-6970	206	31	fractional	fractional	ADJ
ejpam-6970	206	32	-	-	PUNCT
ejpam-6970	206	33	order	order	NOUN
ejpam-6970	206	34	terms	term	NOUN
ejpam-6970	206	35	and	and	CCONJ
ejpam-6970	206	36	the	the	DET
ejpam-6970	206	37	complex	complex	ADJ
ejpam-6970	206	38	kernel	kernel	NOUN
ejpam-6970	206	39	,	,	PUNCT
ejpam-6970	206	40	we	we	PRON
ejpam-6970	206	41	employ	employ	VERB
ejpam-6970	206	42	numerical	numerical	ADJ
ejpam-6970	206	43	methods	method	NOUN
ejpam-6970	206	44	for	for	ADP
ejpam-6970	206	45	this	this	DET
ejpam-6970	206	46	step	step	NOUN
ejpam-6970	206	47	.	.	PUNCT
ejpam-6970	207	1	to	to	PART
ejpam-6970	207	2	approximate	approximate	VERB
ejpam-6970	207	3	the	the	DET
ejpam-6970	207	4	inverse	inverse	NOUN
ejpam-6970	207	5	transform	transform	NOUN
ejpam-6970	207	6	accurately	accurately	ADV
ejpam-6970	207	7	,	,	PUNCT
ejpam-6970	207	8	we	we	PRON
ejpam-6970	207	9	utilize	utilize	VERB
ejpam-6970	207	10	two	two	NUM
ejpam-6970	207	11	numerical	numerical	ADJ
ejpam-6970	207	12	techniques	technique	NOUN
ejpam-6970	207	13	:	:	PUNCT
ejpam-6970	207	14	the	the	DET
ejpam-6970	207	15	gauss	gauss	ADJ
ejpam-6970	207	16	-	-	PUNCT
ejpam-6970	207	17	hermite	hermite	ADJ
ejpam-6970	207	18	quadrature	quadrature	NOUN
ejpam-6970	207	19	method	method	NOUN
ejpam-6970	207	20	and	and	CCONJ
ejpam-6970	207	21	the	the	DET
ejpam-6970	207	22	modified	modified	PROPN
ejpam-6970	207	23	talbot	talbot	PROPN
ejpam-6970	207	24	’s	’s	PART
ejpam-6970	207	25	method	method	NOUN
ejpam-6970	207	26	.	.	PUNCT
ejpam-6970	208	1	these	these	DET
ejpam-6970	208	2	methods	method	NOUN
ejpam-6970	208	3	enable	enable	VERB
ejpam-6970	208	4	the	the	DET
ejpam-6970	208	5	efficient	efficient	ADJ
ejpam-6970	208	6	evaluation	evaluation	NOUN
ejpam-6970	208	7	of	of	ADP
ejpam-6970	208	8	the	the	DET
ejpam-6970	208	9	bromwich	bromwich	NOUN
ejpam-6970	208	10	integral	integral	ADJ
ejpam-6970	208	11	given	give	VERB
ejpam-6970	208	12	in	in	ADP
ejpam-6970	208	13	equation	equation	NOUN
ejpam-6970	208	14	(	(	PUNCT
ejpam-6970	208	15	5	5	NUM
ejpam-6970	208	16	)	)	PUNCT
ejpam-6970	208	17	,	,	PUNCT
ejpam-6970	208	18	providing	provide	VERB
ejpam-6970	208	19	both	both	CCONJ
ejpam-6970	208	20	stability	stability	NOUN
ejpam-6970	208	21	and	and	CCONJ
ejpam-6970	208	22	high	high	ADJ
ejpam-6970	208	23	accuracy	accuracy	NOUN
ejpam-6970	208	24	.	.	PUNCT
ejpam-6970	209	1	in	in	ADP
ejpam-6970	209	2	the	the	DET
ejpam-6970	209	3	subsequent	subsequent	ADJ
ejpam-6970	209	4	sections	section	NOUN
ejpam-6970	209	5	,	,	PUNCT
ejpam-6970	209	6	we	we	PRON
ejpam-6970	209	7	detail	detail	VERB
ejpam-6970	209	8	the	the	DET
ejpam-6970	209	9	application	application	NOUN
ejpam-6970	209	10	of	of	ADP
ejpam-6970	209	11	each	each	DET
ejpam-6970	209	12	method	method	NOUN
ejpam-6970	209	13	and	and	CCONJ
ejpam-6970	209	14	justify	justify	VERB
ejpam-6970	209	15	their	their	PRON
ejpam-6970	209	16	suitability	suitability	NOUN
ejpam-6970	209	17	for	for	ADP
ejpam-6970	209	18	this	this	DET
ejpam-6970	209	19	class	class	NOUN
ejpam-6970	209	20	of	of	ADP
ejpam-6970	209	21	problems	problem	NOUN
ejpam-6970	209	22	.	.	PUNCT
ejpam-6970	210	1	3.1	3.1	NUM
ejpam-6970	210	2	.	.	PUNCT
ejpam-6970	210	3	gauss	gauss	ADJ
ejpam-6970	210	4	-	-	PUNCT
ejpam-6970	210	5	hermite	hermite	ADJ
ejpam-6970	210	6	-	-	PUNCT
ejpam-6970	210	7	quadrature	quadrature	NOUN
ejpam-6970	210	8	method	method	NOUN
ejpam-6970	210	9	the	the	DET
ejpam-6970	210	10	gauss	gauss	ADJ
ejpam-6970	210	11	-	-	PUNCT
ejpam-6970	210	12	hermite	hermite	ADJ
ejpam-6970	210	13	quadrature	quadrature	NOUN
ejpam-6970	210	14	(	(	PUNCT
ejpam-6970	210	15	gm	gm	PROPN
ejpam-6970	210	16	)	)	PUNCT
ejpam-6970	210	17	method	method	NOUN
ejpam-6970	210	18	provides	provide	VERB
ejpam-6970	210	19	an	an	DET
ejpam-6970	210	20	efficient	efficient	ADJ
ejpam-6970	210	21	numerical	numerical	ADJ
ejpam-6970	210	22	approximation	approximation	NOUN
ejpam-6970	210	23	for	for	ADP
ejpam-6970	210	24	integrals	integral	NOUN
ejpam-6970	210	25	of	of	ADP
ejpam-6970	210	26	the	the	DET
ejpam-6970	210	27	form	form	NOUN
ejpam-6970	210	28	[	[	X
ejpam-6970	210	29	29]:∫	29]:∫	NUM
ejpam-6970	210	30	∞	∞	PROPN
ejpam-6970	210	31	−∞	−∞	ADP
ejpam-6970	210	32	e−t2h(t)dt	e−t2h(t)dt	NOUN
ejpam-6970	210	33	≈	≈	PROPN
ejpam-6970	210	34	ng∑	ng∑	PROPN
ejpam-6970	210	35	ξ=1	ξ=1	PROPN
ejpam-6970	210	36	ηξh(tξ	ηξh(tξ	NOUN
ejpam-6970	210	37	)	)	PUNCT
ejpam-6970	210	38	,	,	PUNCT
ejpam-6970	210	39	(	(	PUNCT
ejpam-6970	210	40	6	6	NUM
ejpam-6970	210	41	)	)	PUNCT
ejpam-6970	210	42	where	where	SCONJ
ejpam-6970	210	43	tξ	tξ	AUX
ejpam-6970	210	44	are	be	AUX
ejpam-6970	210	45	the	the	DET
ejpam-6970	210	46	roots	root	NOUN
ejpam-6970	210	47	of	of	ADP
ejpam-6970	210	48	the	the	DET
ejpam-6970	210	49	hermite	hermite	ADJ
ejpam-6970	210	50	polynomial	polynomial	ADJ
ejpam-6970	210	51	hng(t	hng(t	PROPN
ejpam-6970	210	52	)	)	PUNCT
ejpam-6970	210	53	of	of	ADP
ejpam-6970	210	54	degree	degree	NOUN
ejpam-6970	210	55	ng	ng	PROPN
ejpam-6970	210	56	,	,	PUNCT
ejpam-6970	210	57	and	and	CCONJ
ejpam-6970	210	58	ηξ	ηξ	X
ejpam-6970	210	59	are	be	AUX
ejpam-6970	210	60	the	the	DET
ejpam-6970	210	61	corresponding	corresponding	ADJ
ejpam-6970	210	62	weights	weight	NOUN
ejpam-6970	210	63	.	.	PUNCT
ejpam-6970	211	1	these	these	DET
ejpam-6970	211	2	weights	weight	NOUN
ejpam-6970	211	3	are	be	AUX
ejpam-6970	211	4	uniquely	uniquely	ADV
ejpam-6970	211	5	determined	determined	ADJ
ejpam-6970	211	6	so	so	SCONJ
ejpam-6970	211	7	that	that	SCONJ
ejpam-6970	211	8	the	the	DET
ejpam-6970	211	9	approximation	approximation	NOUN
ejpam-6970	211	10	is	be	AUX
ejpam-6970	211	11	exact	exact	ADJ
ejpam-6970	211	12	when	when	SCONJ
ejpam-6970	211	13	h(t	h(t	PROPN
ejpam-6970	211	14	)	)	PUNCT
ejpam-6970	211	15	is	be	AUX
ejpam-6970	211	16	a	a	DET
ejpam-6970	211	17	polynomial	polynomial	NOUN
ejpam-6970	211	18	of	of	ADP
ejpam-6970	211	19	degree	degree	NOUN
ejpam-6970	211	20	up	up	ADP
ejpam-6970	211	21	to	to	ADP
ejpam-6970	211	22	2ng	2ng	ADJ
ejpam-6970	211	23	−	−	NOUN
ejpam-6970	211	24	1	1	X
ejpam-6970	211	25	.	.	PUNCT
ejpam-6970	212	1	the	the	DET
ejpam-6970	212	2	gm	gm	PROPN
ejpam-6970	212	3	rule	rule	NOUN
ejpam-6970	212	4	exhibits	exhibit	VERB
ejpam-6970	212	5	rapid	rapid	ADJ
ejpam-6970	212	6	convergence	convergence	NOUN
ejpam-6970	212	7	for	for	ADP
ejpam-6970	212	8	smooth	smooth	ADJ
ejpam-6970	212	9	integrands	integrand	NOUN
ejpam-6970	212	10	,	,	PUNCT
ejpam-6970	212	11	as	as	SCONJ
ejpam-6970	212	12	characterized	characterize	VERB
ejpam-6970	212	13	by	by	ADP
ejpam-6970	212	14	the	the	DET
ejpam-6970	212	15	following	follow	VERB
ejpam-6970	212	16	error	error	NOUN
ejpam-6970	212	17	term	term	NOUN
ejpam-6970	212	18	:	:	PUNCT
ejpam-6970	212	19	theorem	theorem	NOUN
ejpam-6970	212	20	3	3	NUM
ejpam-6970	212	21	.	.	PUNCT
ejpam-6970	213	1	the	the	DET
ejpam-6970	213	2	error	error	NOUN
ejpam-6970	213	3	term	term	NOUN
ejpam-6970	213	4	rng(h	rng(h	PROPN
ejpam-6970	213	5	)	)	PUNCT
ejpam-6970	213	6	for	for	ADP
ejpam-6970	213	7	the	the	DET
ejpam-6970	213	8	gm	gm	PROPN
ejpam-6970	213	9	approximation	approximation	NOUN
ejpam-6970	213	10	in	in	ADP
ejpam-6970	213	11	(	(	PUNCT
ejpam-6970	213	12	6	6	NUM
ejpam-6970	213	13	)	)	PUNCT
ejpam-6970	213	14	is	be	AUX
ejpam-6970	213	15	given	give	VERB
ejpam-6970	213	16	by	by	ADP
ejpam-6970	213	17	:	:	PUNCT
ejpam-6970	213	18	rng(h	rng(h	X
ejpam-6970	213	19	)	)	PUNCT
ejpam-6970	213	20	=	=	SYM
ejpam-6970	213	21	1	1	NUM
ejpam-6970	213	22	2πi	2πi	NOUN
ejpam-6970	213	23	∫	∫	PROPN
ejpam-6970	213	24	γ	γ	X
ejpam-6970	213	25	ϕng(µ)h(µ)dµ	ϕng(µ)h(µ)dµ	PROPN
ejpam-6970	213	26	,	,	PUNCT
ejpam-6970	213	27	(	(	PUNCT
ejpam-6970	213	28	7	7	X
ejpam-6970	213	29	)	)	PUNCT
ejpam-6970	213	30	where	where	SCONJ
ejpam-6970	213	31	ϕng(µ	ϕng(µ	PROPN
ejpam-6970	213	32	)	)	PUNCT
ejpam-6970	213	33	=	=	SYM
ejpam-6970	213	34	qng(µ	qng(µ	ADJ
ejpam-6970	213	35	)	)	PUNCT
ejpam-6970	213	36	hng(µ	hng(µ	PROPN
ejpam-6970	213	37	)	)	PUNCT
ejpam-6970	213	38	,	,	PUNCT
ejpam-6970	214	1	qng(µ	qng(µ	PROPN
ejpam-6970	214	2	)	)	PUNCT
ejpam-6970	214	3	=	=	SYM
ejpam-6970	215	1	∫	∫	PROPN
ejpam-6970	215	2	∞	∞	PROPN
ejpam-6970	215	3	−∞	−∞	ADP
ejpam-6970	215	4	e−t2	e−t2	PROPN
ejpam-6970	215	5	hng(t	hng(t	PROPN
ejpam-6970	215	6	)	)	PUNCT
ejpam-6970	215	7	µ−	µ−	PROPN
ejpam-6970	215	8	t	t	PROPN
ejpam-6970	215	9	dt	dt	PROPN
ejpam-6970	215	10	.	.	PUNCT
ejpam-6970	216	1	(	(	PUNCT
ejpam-6970	216	2	8)	8)	NUM
ejpam-6970	216	3	here	here	ADV
ejpam-6970	216	4	,	,	PUNCT
ejpam-6970	216	5	γ	γ	X
ejpam-6970	216	6	is	be	AUX
ejpam-6970	216	7	a	a	DET
ejpam-6970	216	8	contour	contour	NOUN
ejpam-6970	216	9	in	in	ADP
ejpam-6970	216	10	the	the	DET
ejpam-6970	216	11	complex	complex	ADJ
ejpam-6970	216	12	plane	plane	NOUN
ejpam-6970	216	13	enclosing	enclose	VERB
ejpam-6970	216	14	the	the	DET
ejpam-6970	216	15	zeros	zero	NOUN
ejpam-6970	216	16	of	of	ADP
ejpam-6970	216	17	hng(µ	hng(µ	PROPN
ejpam-6970	216	18	)	)	PUNCT
ejpam-6970	216	19	,	,	PUNCT
ejpam-6970	216	20	and	and	CCONJ
ejpam-6970	216	21	h(µ	h(µ	PROPN
ejpam-6970	216	22	)	)	PUNCT
ejpam-6970	216	23	is	be	AUX
ejpam-6970	216	24	assumed	assume	VERB
ejpam-6970	216	25	to	to	PART
ejpam-6970	216	26	be	be	AUX
ejpam-6970	216	27	analytic	analytic	ADJ
ejpam-6970	216	28	within	within	ADP
ejpam-6970	216	29	γ	γ	PROPN
ejpam-6970	216	30	.	.	PROPN
ejpam-6970	216	31	kamran	kamran	PROPN
ejpam-6970	216	32	et	et	PROPN
ejpam-6970	216	33	al	al	PROPN
ejpam-6970	216	34	.	.	PUNCT
ejpam-6970	216	35	/	/	SYM
ejpam-6970	216	36	eur	eur	PROPN
ejpam-6970	216	37	.	.	PUNCT
ejpam-6970	217	1	j.	j.	PROPN
ejpam-6970	217	2	pure	pure	PROPN
ejpam-6970	217	3	appl	appl	PROPN
ejpam-6970	217	4	.	.	PROPN
ejpam-6970	217	5	math	math	PROPN
ejpam-6970	217	6	,	,	PUNCT
ejpam-6970	217	7	18	18	NUM
ejpam-6970	217	8	(	(	PUNCT
ejpam-6970	217	9	4	4	NUM
ejpam-6970	217	10	)	)	PUNCT
ejpam-6970	217	11	(	(	PUNCT
ejpam-6970	217	12	2025	2025	NUM
ejpam-6970	217	13	)	)	PUNCT
ejpam-6970	217	14	,	,	PUNCT
ejpam-6970	217	15	6970	6970	NUM
ejpam-6970	217	16	9	9	NUM
ejpam-6970	217	17	of	of	ADP
ejpam-6970	217	18	22	22	NUM
ejpam-6970	217	19	the	the	DET
ejpam-6970	217	20	function	function	NOUN
ejpam-6970	217	21	qng(µ	qng(µ	PROPN
ejpam-6970	217	22	)	)	PUNCT
ejpam-6970	217	23	,	,	PUNCT
ejpam-6970	217	24	known	know	VERB
ejpam-6970	217	25	as	as	ADP
ejpam-6970	217	26	the	the	DET
ejpam-6970	217	27	hermite	hermite	ADJ
ejpam-6970	217	28	function	function	NOUN
ejpam-6970	217	29	of	of	ADP
ejpam-6970	217	30	the	the	DET
ejpam-6970	217	31	second	second	ADJ
ejpam-6970	217	32	kind	kind	NOUN
ejpam-6970	217	33	,	,	PUNCT
ejpam-6970	217	34	decays	decay	VERB
ejpam-6970	217	35	rapidly	rapidly	ADV
ejpam-6970	217	36	as	as	SCONJ
ejpam-6970	217	37	|µ|	|µ|	PROPN
ejpam-6970	217	38	→	→	SYM
ejpam-6970	217	39	∞	∞	PROPN
ejpam-6970	217	40	,	,	PUNCT
ejpam-6970	217	41	whereas	whereas	SCONJ
ejpam-6970	217	42	hng(µ	hng(µ	PROPN
ejpam-6970	217	43	)	)	PUNCT
ejpam-6970	217	44	grows	grow	VERB
ejpam-6970	217	45	rapidly	rapidly	ADV
ejpam-6970	217	46	.	.	PUNCT
ejpam-6970	218	1	consequently	consequently	ADV
ejpam-6970	218	2	,	,	PUNCT
ejpam-6970	218	3	ϕng(µ	ϕng(µ	PROPN
ejpam-6970	218	4	)	)	PUNCT
ejpam-6970	218	5	becomes	become	VERB
ejpam-6970	218	6	negligible	negligible	ADJ
ejpam-6970	218	7	when	when	SCONJ
ejpam-6970	218	8	γ	γ	PROPN
ejpam-6970	218	9	is	be	AUX
ejpam-6970	218	10	chosen	choose	VERB
ejpam-6970	218	11	such	such	ADJ
ejpam-6970	218	12	that	that	SCONJ
ejpam-6970	218	13	it	it	PRON
ejpam-6970	218	14	is	be	AUX
ejpam-6970	218	15	constrained	constrain	VERB
ejpam-6970	218	16	by	by	ADP
ejpam-6970	218	17	the	the	DET
ejpam-6970	218	18	region	region	NOUN
ejpam-6970	218	19	of	of	ADP
ejpam-6970	218	20	analyticity	analyticity	NOUN
ejpam-6970	218	21	of	of	ADP
ejpam-6970	218	22	h(µ	h(µ	PROPN
ejpam-6970	218	23	)	)	PUNCT
ejpam-6970	218	24	.	.	PUNCT
ejpam-6970	219	1	to	to	PART
ejpam-6970	219	2	enhance	enhance	VERB
ejpam-6970	219	3	the	the	DET
ejpam-6970	219	4	accuracy	accuracy	NOUN
ejpam-6970	219	5	of	of	ADP
ejpam-6970	219	6	the	the	DET
ejpam-6970	219	7	quadrature	quadrature	NOUN
ejpam-6970	219	8	for	for	ADP
ejpam-6970	219	9	functions	function	NOUN
ejpam-6970	219	10	that	that	PRON
ejpam-6970	219	11	may	may	AUX
ejpam-6970	219	12	not	not	PART
ejpam-6970	219	13	be	be	AUX
ejpam-6970	219	14	optimally	optimally	ADV
ejpam-6970	219	15	scaled	scale	VERB
ejpam-6970	219	16	,	,	PUNCT
ejpam-6970	219	17	a	a	DET
ejpam-6970	219	18	linear	linear	ADJ
ejpam-6970	219	19	transformation	transformation	NOUN
ejpam-6970	219	20	of	of	ADP
ejpam-6970	219	21	the	the	DET
ejpam-6970	219	22	variable	variable	NOUN
ejpam-6970	219	23	can	can	AUX
ejpam-6970	219	24	be	be	AUX
ejpam-6970	219	25	applied	apply	VERB
ejpam-6970	219	26	.	.	PUNCT
ejpam-6970	220	1	let	let	VERB
ejpam-6970	220	2	t	t	NOUN
ejpam-6970	220	3	=	=	SYM
ejpam-6970	220	4	ςτ	ςτ	NOUN
ejpam-6970	220	5	,	,	PUNCT
ejpam-6970	220	6	where	where	SCONJ
ejpam-6970	220	7	ς	ς	PROPN
ejpam-6970	220	8	∈	∈	PROPN
ejpam-6970	220	9	r	r	NOUN
ejpam-6970	220	10	is	be	AUX
ejpam-6970	220	11	a	a	DET
ejpam-6970	220	12	scaling	scaling	ADJ
ejpam-6970	220	13	parameter	parameter	NOUN
ejpam-6970	220	14	.	.	PUNCT
ejpam-6970	221	1	this	this	DET
ejpam-6970	221	2	yields:∫	yields:∫	NOUN
ejpam-6970	221	3	∞	∞	PROPN
ejpam-6970	221	4	−∞	−∞	ADP
ejpam-6970	221	5	e−t2h(t)dt	e−t2h(t)dt	NOUN
ejpam-6970	221	6	=	=	SYM
ejpam-6970	222	1	ς	ς	PROPN
ejpam-6970	222	2	∫	∫	PROPN
ejpam-6970	222	3	∞	∞	PROPN
ejpam-6970	222	4	−∞	−∞	X
ejpam-6970	222	5	e−ς2τ2h(ςτ)dτ	e−ς2τ2h(ςτ)dτ	PROPN
ejpam-6970	222	6	=	=	PUNCT
ejpam-6970	222	7	ς	ς	PROPN
ejpam-6970	222	8	∫	∫	PROPN
ejpam-6970	222	9	∞	∞	PROPN
ejpam-6970	222	10	−∞	−∞	X
ejpam-6970	222	11	e−τ2	e−τ2	NOUN
ejpam-6970	222	12	[	[	PUNCT
ejpam-6970	222	13	eτ	eτ	NOUN
ejpam-6970	222	14	2(1−ς2)h(ςτ	2(1−ς2)h(ςτ	NUM
ejpam-6970	222	15	)	)	PUNCT
ejpam-6970	222	16	]	]	PUNCT
ejpam-6970	222	17	dτ	dτ	PROPN
ejpam-6970	222	18	.	.	PROPN
ejpam-6970	222	19	(	(	PUNCT
ejpam-6970	222	20	9	9	NUM
ejpam-6970	222	21	)	)	PUNCT
ejpam-6970	222	22	by	by	ADP
ejpam-6970	222	23	defining	define	VERB
ejpam-6970	222	24	a	a	DET
ejpam-6970	222	25	new	new	ADJ
ejpam-6970	222	26	function	function	NOUN
ejpam-6970	222	27	y(τ	y(τ	PROPN
ejpam-6970	222	28	)	)	PUNCT
ejpam-6970	222	29	=	=	PRON
ejpam-6970	222	30	eτ	eτ	ADP
ejpam-6970	222	31	2(1−ς2)h(ςτ	2(1−ς2)h(ςτ	NUM
ejpam-6970	222	32	)	)	PUNCT
ejpam-6970	222	33	,	,	PUNCT
ejpam-6970	222	34	the	the	DET
ejpam-6970	222	35	singularities	singularity	NOUN
ejpam-6970	222	36	of	of	ADP
ejpam-6970	222	37	its	its	PRON
ejpam-6970	222	38	analytic	analytic	ADJ
ejpam-6970	222	39	continuation	continuation	NOUN
ejpam-6970	222	40	ŷ(µ	ŷ(µ	NOUN
ejpam-6970	222	41	)	)	PUNCT
ejpam-6970	222	42	are	be	AUX
ejpam-6970	222	43	shifted	shift	VERB
ejpam-6970	222	44	further	far	ADV
ejpam-6970	222	45	from	from	ADP
ejpam-6970	222	46	the	the	DET
ejpam-6970	222	47	real	real	ADJ
ejpam-6970	222	48	axis	axis	NOUN
ejpam-6970	222	49	,	,	PUNCT
ejpam-6970	222	50	which	which	PRON
ejpam-6970	222	51	can	can	AUX
ejpam-6970	222	52	significantly	significantly	ADV
ejpam-6970	222	53	improve	improve	VERB
ejpam-6970	222	54	the	the	DET
ejpam-6970	222	55	convergence	convergence	NOUN
ejpam-6970	222	56	rate	rate	NOUN
ejpam-6970	222	57	of	of	ADP
ejpam-6970	222	58	the	the	DET
ejpam-6970	222	59	quadrature	quadrature	NOUN
ejpam-6970	222	60	rule	rule	NOUN
ejpam-6970	222	61	.	.	PUNCT
ejpam-6970	223	1	for	for	ADP
ejpam-6970	223	2	the	the	DET
ejpam-6970	223	3	numerical	numerical	ADJ
ejpam-6970	223	4	evaluation	evaluation	NOUN
ejpam-6970	223	5	of	of	ADP
ejpam-6970	223	6	the	the	DET
ejpam-6970	223	7	error	error	NOUN
ejpam-6970	223	8	contour	contour	NOUN
ejpam-6970	223	9	integral	integral	ADJ
ejpam-6970	223	10	(	(	PUNCT
ejpam-6970	223	11	7	7	NUM
ejpam-6970	223	12	)	)	PUNCT
ejpam-6970	223	13	,	,	PUNCT
ejpam-6970	223	14	the	the	DET
ejpam-6970	223	15	contour	contour	NOUN
ejpam-6970	223	16	γ	γ	NOUN
ejpam-6970	223	17	is	be	AUX
ejpam-6970	223	18	parameterized	parameterized	ADJ
ejpam-6970	223	19	as	as	ADP
ejpam-6970	223	20	:	:	PUNCT
ejpam-6970	223	21	γ	γ	X
ejpam-6970	223	22	:	:	PUNCT
ejpam-6970	223	23	µ	µ	X
ejpam-6970	223	24	=	=	SYM
ejpam-6970	223	25	ϑ(1	ϑ(1	PROPN
ejpam-6970	223	26	+	+	SYM
ejpam-6970	223	27	iζ)2	iζ)2	PROPN
ejpam-6970	223	28	,	,	PUNCT
ejpam-6970	223	29	−∞	−∞	ADP
ejpam-6970	223	30	<	<	X
ejpam-6970	223	31	ζ	ζ	X
ejpam-6970	223	32	<	<	X
ejpam-6970	223	33	∞	∞	PROPN
ejpam-6970	223	34	,	,	PUNCT
ejpam-6970	223	35	ϑ	ϑ	X
ejpam-6970	223	36	>	>	X
ejpam-6970	223	37	0	0	NUM
ejpam-6970	223	38	.	.	PUNCT
ejpam-6970	224	1	(	(	PUNCT
ejpam-6970	224	2	10	10	NUM
ejpam-6970	224	3	)	)	PUNCT
ejpam-6970	224	4	this	this	DET
ejpam-6970	224	5	contour	contour	NOUN
ejpam-6970	224	6	intersects	intersect	NOUN
ejpam-6970	224	7	the	the	DET
ejpam-6970	224	8	real	real	ADJ
ejpam-6970	224	9	axis	axis	NOUN
ejpam-6970	224	10	at	at	ADP
ejpam-6970	224	11	µ	µ	NOUN
ejpam-6970	224	12	=	=	SYM
ejpam-6970	224	13	ϑ	ϑ	X
ejpam-6970	224	14	and	and	CCONJ
ejpam-6970	224	15	the	the	DET
ejpam-6970	224	16	imaginary	imaginary	ADJ
ejpam-6970	224	17	axis	axis	NOUN
ejpam-6970	224	18	at	at	ADP
ejpam-6970	224	19	µ	µ	NOUN
ejpam-6970	224	20	=	=	SYM
ejpam-6970	224	21	±2ϑi	±2ϑi	NOUN
ejpam-6970	224	22	.	.	PUNCT
ejpam-6970	225	1	applying	apply	VERB
ejpam-6970	225	2	this	this	DET
ejpam-6970	225	3	parameterization	parameterization	NOUN
ejpam-6970	225	4	and	and	CCONJ
ejpam-6970	225	5	a	a	DET
ejpam-6970	225	6	subsequent	subsequent	ADJ
ejpam-6970	225	7	scaling	scale	VERB
ejpam-6970	225	8	ζ	ζ	NOUN
ejpam-6970	225	9	=	=	SYM
ejpam-6970	225	10	ςσ	ςσ	PROPN
ejpam-6970	225	11	,	,	PUNCT
ejpam-6970	225	12	the	the	DET
ejpam-6970	225	13	integral	integral	ADJ
ejpam-6970	225	14	along	along	ADP
ejpam-6970	225	15	the	the	DET
ejpam-6970	225	16	contour	contour	NOUN
ejpam-6970	225	17	is	be	AUX
ejpam-6970	225	18	transformed	transform	VERB
ejpam-6970	225	19	into	into	ADP
ejpam-6970	225	20	a	a	DET
ejpam-6970	225	21	form	form	NOUN
ejpam-6970	225	22	amenable	amenable	ADJ
ejpam-6970	225	23	to	to	ADP
ejpam-6970	225	24	the	the	DET
ejpam-6970	225	25	gm	gm	PROPN
ejpam-6970	225	26	rule	rule	NOUN
ejpam-6970	225	27	:	:	PUNCT
ejpam-6970	225	28	y(τ	y(τ	PROPN
ejpam-6970	225	29	)	)	PUNCT
ejpam-6970	226	1	=	=	SYM
ejpam-6970	227	1	ς	ς	PROPN
ejpam-6970	227	2	2πi	2πi	NOUN
ejpam-6970	227	3	∫	∫	PROPN
ejpam-6970	227	4	∞	∞	PROPN
ejpam-6970	227	5	−∞	−∞	ADP
ejpam-6970	227	6	e−σ2	e−σ2	ADJ
ejpam-6970	227	7	eσ	eσ	PROPN
ejpam-6970	227	8	2+µ(ςσ)τ	2+µ(ςσ)τ	NUM
ejpam-6970	227	9	ŷ(µ(ςσ))µ′(ςσ)dσ	ŷ(µ(ςσ))µ′(ςσ)dσ	NOUN
ejpam-6970	227	10	=	=	SYM
ejpam-6970	227	11	∫	∫	PROPN
ejpam-6970	227	12	∞	∞	PROPN
ejpam-6970	227	13	−∞	−∞	ADP
ejpam-6970	227	14	e−σ2	e−σ2	ADJ
ejpam-6970	227	15	h̃(σ)dσ	h̃(σ)dσ	NOUN
ejpam-6970	227	16	,	,	PUNCT
ejpam-6970	227	17	where	where	SCONJ
ejpam-6970	227	18	the	the	DET
ejpam-6970	227	19	new	new	ADJ
ejpam-6970	227	20	integrand	integrand	NOUN
ejpam-6970	227	21	is	be	AUX
ejpam-6970	227	22	defined	define	VERB
ejpam-6970	227	23	as	as	ADP
ejpam-6970	227	24	:	:	PUNCT
ejpam-6970	227	25	h̃(σ	h̃(σ	NOUN
ejpam-6970	227	26	)	)	PUNCT
ejpam-6970	227	27	=	=	PUNCT
ejpam-6970	228	1	ς	ς	PROPN
ejpam-6970	228	2	2πi	2πi	NOUN
ejpam-6970	228	3	eσ	eσ	ADP
ejpam-6970	228	4	2+µ(ςσ)τ	2+µ(ςσ)τ	NUM
ejpam-6970	228	5	ŷ(µ(ςσ))µ′(ςσ	ŷ(µ(ςσ))µ′(ςσ	NUM
ejpam-6970	228	6	)	)	PUNCT
ejpam-6970	228	7	.	.	PUNCT
ejpam-6970	229	1	the	the	DET
ejpam-6970	229	2	gm	gm	PROPN
ejpam-6970	229	3	rule	rule	NOUN
ejpam-6970	229	4	is	be	AUX
ejpam-6970	229	5	then	then	ADV
ejpam-6970	229	6	applied	apply	VERB
ejpam-6970	229	7	to	to	PART
ejpam-6970	229	8	approximate	approximate	VERB
ejpam-6970	229	9	this	this	DET
ejpam-6970	229	10	integral	integral	NOUN
ejpam-6970	229	11	.	.	PUNCT
ejpam-6970	230	1	due	due	ADP
ejpam-6970	230	2	to	to	ADP
ejpam-6970	230	3	the	the	DET
ejpam-6970	230	4	symmetry	symmetry	NOUN
ejpam-6970	230	5	of	of	ADP
ejpam-6970	230	6	the	the	DET
ejpam-6970	230	7	gauss	gauss	ADJ
ejpam-6970	230	8	-	-	PUNCT
ejpam-6970	230	9	hermite	hermite	ADJ
ejpam-6970	230	10	nodes	node	NOUN
ejpam-6970	230	11	and	and	CCONJ
ejpam-6970	230	12	weights	weight	NOUN
ejpam-6970	230	13	for	for	ADP
ejpam-6970	230	14	the	the	DET
ejpam-6970	230	15	real	real	ADJ
ejpam-6970	230	16	line	line	NOUN
ejpam-6970	230	17	,	,	PUNCT
ejpam-6970	230	18	the	the	DET
ejpam-6970	230	19	approximation	approximation	NOUN
ejpam-6970	230	20	can	can	AUX
ejpam-6970	230	21	be	be	AUX
ejpam-6970	230	22	efficiently	efficiently	ADV
ejpam-6970	230	23	computed	compute	VERB
ejpam-6970	230	24	as	as	ADP
ejpam-6970	230	25	:	:	PUNCT
ejpam-6970	230	26	yapp(τ	yapp(τ	NUM
ejpam-6970	230	27	)	)	PUNCT
ejpam-6970	231	1	≈	≈	PROPN
ejpam-6970	231	2	2ℜ	2ℜ	NOUN
ejpam-6970	231	3			PUNCT
ejpam-6970	231	4	p∑	p∑	NOUN
ejpam-6970	231	5	ξ=1	ξ=1	NUM
ejpam-6970	231	6	ηξh̃(σξ	ηξh̃(σξ	PROPN
ejpam-6970	231	7	)	)	PUNCT
ejpam-6970	232	1			NOUN
ejpam-6970	232	2	,	,	PUNCT
ejpam-6970	232	3	where	where	SCONJ
ejpam-6970	232	4	σξ	σξ	PROPN
ejpam-6970	232	5	are	be	AUX
ejpam-6970	232	6	the	the	DET
ejpam-6970	232	7	positive	positive	ADJ
ejpam-6970	232	8	roots	root	NOUN
ejpam-6970	232	9	of	of	ADP
ejpam-6970	232	10	the	the	DET
ejpam-6970	232	11	hermite	hermite	ADJ
ejpam-6970	232	12	polynomial	polynomial	ADJ
ejpam-6970	232	13	hng(t	hng(t	PROPN
ejpam-6970	232	14	)	)	PUNCT
ejpam-6970	232	15	,	,	PUNCT
ejpam-6970	232	16	and	and	CCONJ
ejpam-6970	232	17	p	p	NOUN
ejpam-6970	232	18	=	=	PROPN
ejpam-6970	232	19	ng/2	ng/2	PROPN
ejpam-6970	232	20	(	(	PUNCT
ejpam-6970	232	21	for	for	ADP
ejpam-6970	232	22	even	even	ADV
ejpam-6970	232	23	ng	ng	PROPN
ejpam-6970	232	24	)	)	PUNCT
ejpam-6970	232	25	or	or	CCONJ
ejpam-6970	232	26	p	p	NOUN
ejpam-6970	232	27	=	=	PUNCT
ejpam-6970	232	28	(	(	PUNCT
ejpam-6970	232	29	ng	ng	PROPN
ejpam-6970	232	30	+	+	X
ejpam-6970	232	31	1)/2	1)/2	NUM
ejpam-6970	232	32	(	(	PUNCT
ejpam-6970	232	33	for	for	ADP
ejpam-6970	232	34	odd	odd	ADJ
ejpam-6970	232	35	ng	ng	PROPN
ejpam-6970	232	36	)	)	PUNCT
ejpam-6970	232	37	.	.	PUNCT
ejpam-6970	233	1	this	this	DET
ejpam-6970	233	2	method	method	NOUN
ejpam-6970	233	3	leverages	leverage	VERB
ejpam-6970	233	4	the	the	DET
ejpam-6970	233	5	rapid	rapid	ADJ
ejpam-6970	233	6	decay	decay	NOUN
ejpam-6970	233	7	of	of	ADP
ejpam-6970	233	8	the	the	DET
ejpam-6970	233	9	error	error	NOUN
ejpam-6970	233	10	term	term	NOUN
ejpam-6970	233	11	to	to	PART
ejpam-6970	233	12	provide	provide	VERB
ejpam-6970	233	13	a	a	DET
ejpam-6970	233	14	highly	highly	ADV
ejpam-6970	233	15	accurate	accurate	ADJ
ejpam-6970	233	16	numerical	numerical	ADJ
ejpam-6970	233	17	evaluation	evaluation	NOUN
ejpam-6970	233	18	of	of	ADP
ejpam-6970	233	19	the	the	DET
ejpam-6970	233	20	original	original	ADJ
ejpam-6970	233	21	integral	integral	NOUN
ejpam-6970	233	22	.	.	PUNCT
ejpam-6970	234	1	3.1.1	3.1.1	X
ejpam-6970	234	2	.	.	PUNCT
ejpam-6970	235	1	convergence	convergence	NOUN
ejpam-6970	235	2	of	of	ADP
ejpam-6970	235	3	gauss	gauss	ADJ
ejpam-6970	235	4	-	-	PUNCT
ejpam-6970	235	5	hermite	hermite	ADJ
ejpam-6970	235	6	quadrature	quadrature	NOUN
ejpam-6970	235	7	method	method	NOUN
ejpam-6970	235	8	theorem	theorem	VERB
ejpam-6970	235	9	4	4	NUM
ejpam-6970	235	10	.	.	PUNCT
ejpam-6970	236	1	let	let	VERB
ejpam-6970	236	2	y(τ	y(τ	PROPN
ejpam-6970	236	3	)	)	PUNCT
ejpam-6970	236	4	be	be	AUX
ejpam-6970	236	5	bounded	bound	VERB
ejpam-6970	236	6	and	and	CCONJ
ejpam-6970	236	7	analytic	analytic	ADJ
ejpam-6970	236	8	for	for	ADP
ejpam-6970	236	9	τ	τ	PROPN
ejpam-6970	236	10	∈	∈	PROPN
ejpam-6970	236	11	(	(	PUNCT
ejpam-6970	236	12	−∞,∞	−∞,∞	NOUN
ejpam-6970	236	13	)	)	PUNCT
ejpam-6970	236	14	,	,	PUNCT
ejpam-6970	236	15	and	and	CCONJ
ejpam-6970	236	16	let	let	VERB
ejpam-6970	236	17	exp(−τ2)y(τ	exp(−τ2)y(τ	PRON
ejpam-6970	236	18	)	)	PUNCT
ejpam-6970	236	19	extend	extend	VERB
ejpam-6970	236	20	to	to	ADP
ejpam-6970	236	21	a	a	DET
ejpam-6970	236	22	bounded	bounded	ADJ
ejpam-6970	236	23	analytic	analytic	ADJ
ejpam-6970	236	24	function	function	NOUN
ejpam-6970	236	25	in	in	ADP
ejpam-6970	236	26	an	an	DET
ejpam-6970	236	27	infinite	infinite	ADJ
ejpam-6970	236	28	strip	strip	NOUN
ejpam-6970	236	29	−c	−c	NOUN
ejpam-6970	236	30	<	<	X
ejpam-6970	236	31	im(t	im(t	NOUN
ejpam-6970	236	32	)	)	PUNCT
ejpam-6970	237	1	<	<	X
ejpam-6970	237	2	c.	c.	PROPN
ejpam-6970	237	3	for	for	ADP
ejpam-6970	237	4	a	a	DET
ejpam-6970	237	5	fixed	fixed	ADJ
ejpam-6970	237	6	l	l	NOUN
ejpam-6970	237	7	>	>	X
ejpam-6970	237	8	0	0	PUNCT
ejpam-6970	237	9	and	and	CCONJ
ejpam-6970	237	10	for	for	ADP
ejpam-6970	237	11	each	each	DET
ejpam-6970	237	12	n	n	PRON
ejpam-6970	237	13	≥	≥	NOUN
ejpam-6970	237	14	1	1	NUM
ejpam-6970	237	15	,	,	PUNCT
ejpam-6970	237	16	let	let	VERB
ejpam-6970	237	17	in	in	ADP
ejpam-6970	237	18	be	be	AUX
ejpam-6970	237	19	the	the	DET
ejpam-6970	237	20	estimate	estimate	NOUN
ejpam-6970	237	21	of	of	ADP
ejpam-6970	237	22	the	the	DET
ejpam-6970	237	23	integral	integral	ADJ
ejpam-6970	237	24	i	i	PRON
ejpam-6970	237	25	defined	define	VERB
ejpam-6970	237	26	in	in	ADP
ejpam-6970	237	27	(	(	PUNCT
ejpam-6970	237	28	6	6	NUM
ejpam-6970	237	29	)	)	PUNCT
ejpam-6970	237	30	by	by	ADP
ejpam-6970	237	31	applying	apply	VERB
ejpam-6970	237	32	the	the	DET
ejpam-6970	237	33	quadrature	quadrature	NOUN
ejpam-6970	237	34	rule	rule	NOUN
ejpam-6970	237	35	on	on	ADP
ejpam-6970	237	36	the	the	DET
ejpam-6970	237	37	truncated	truncated	ADJ
ejpam-6970	237	38	interval	interval	NOUN
ejpam-6970	237	39	[	[	X
ejpam-6970	237	40	−ln	−ln	X
ejpam-6970	237	41	1/3	1/3	NUM
ejpam-6970	237	42	g	g	NOUN
ejpam-6970	237	43	,	,	PUNCT
ejpam-6970	237	44	ln	ln	NOUN
ejpam-6970	237	45	1/3	1/3	NUM
ejpam-6970	237	46	g	g	NOUN
ejpam-6970	237	47	]	]	PUNCT
ejpam-6970	237	48	.	.	PUNCT
ejpam-6970	238	1	then	then	ADV
ejpam-6970	238	2	,	,	PUNCT
ejpam-6970	238	3	for	for	ADP
ejpam-6970	238	4	some	some	DET
ejpam-6970	238	5	c	c	PROPN
ejpam-6970	238	6	>	>	X
ejpam-6970	238	7	0,∣∣i	0,∣∣i	PUNCT
ejpam-6970	238	8	−	−	ADP
ejpam-6970	238	9	ing	e	VERB
ejpam-6970	238	10	∣∣	∣∣	PUNCT
ejpam-6970	238	11	=	=	SYM
ejpam-6970	238	12	o	o	PROPN
ejpam-6970	238	13	(	(	PUNCT
ejpam-6970	238	14	exp	exp	NOUN
ejpam-6970	238	15	(	(	PUNCT
ejpam-6970	238	16	−cn2/3	−cn2/3	NOUN
ejpam-6970	238	17	g	g	PROPN
ejpam-6970	238	18	)	)	PUNCT
ejpam-6970	238	19	)	)	PUNCT
ejpam-6970	238	20	,	,	PUNCT
ejpam-6970	238	21	ng	ng	PROPN
ejpam-6970	238	22	→	→	SYM
ejpam-6970	238	23	∞.	∞.	PROPN
ejpam-6970	238	24	(	(	PUNCT
ejpam-6970	238	25	44	44	NUM
ejpam-6970	238	26	)	)	PUNCT
ejpam-6970	238	27	proof	proof	NOUN
ejpam-6970	238	28	.	.	PUNCT
ejpam-6970	239	1	for	for	ADP
ejpam-6970	239	2	proof	proof	NOUN
ejpam-6970	239	3	,	,	PUNCT
ejpam-6970	239	4	see	see	VERB
ejpam-6970	239	5	[	[	X
ejpam-6970	239	6	30	30	NUM
ejpam-6970	239	7	]	]	PUNCT
ejpam-6970	239	8	.	.	PUNCT
ejpam-6970	240	1	kamran	kamran	PROPN
ejpam-6970	240	2	et	et	PROPN
ejpam-6970	240	3	al	al	PROPN
ejpam-6970	240	4	.	.	PUNCT
ejpam-6970	240	5	/	/	SYM
ejpam-6970	240	6	eur	eur	PROPN
ejpam-6970	240	7	.	.	PUNCT
ejpam-6970	241	1	j.	j.	PROPN
ejpam-6970	241	2	pure	pure	PROPN
ejpam-6970	241	3	appl	appl	PROPN
ejpam-6970	241	4	.	.	PROPN
ejpam-6970	241	5	math	math	PROPN
ejpam-6970	241	6	,	,	PUNCT
ejpam-6970	241	7	18	18	NUM
ejpam-6970	241	8	(	(	PUNCT
ejpam-6970	241	9	4	4	NUM
ejpam-6970	241	10	)	)	PUNCT
ejpam-6970	241	11	(	(	PUNCT
ejpam-6970	241	12	2025	2025	NUM
ejpam-6970	241	13	)	)	PUNCT
ejpam-6970	241	14	,	,	PUNCT
ejpam-6970	241	15	6970	6970	NUM
ejpam-6970	241	16	10	10	NUM
ejpam-6970	241	17	of	of	ADP
ejpam-6970	241	18	22	22	NUM
ejpam-6970	241	19	3.2	3.2	NUM
ejpam-6970	241	20	.	.	PUNCT
ejpam-6970	242	1	improved	improved	PROPN
ejpam-6970	242	2	talbot	talbot	PROPN
ejpam-6970	242	3	’s	’s	PART
ejpam-6970	242	4	method	method	NOUN
ejpam-6970	242	5	the	the	DET
ejpam-6970	242	6	improved	improved	ADJ
ejpam-6970	242	7	talbot	talbot	PROPN
ejpam-6970	242	8	’s	’s	PART
ejpam-6970	242	9	method	method	NOUN
ejpam-6970	242	10	(	(	PUNCT
ejpam-6970	242	11	itm	itm	NOUN
ejpam-6970	242	12	)	)	PUNCT
ejpam-6970	242	13	addresses	address	VERB
ejpam-6970	242	14	the	the	DET
ejpam-6970	242	15	challenge	challenge	NOUN
ejpam-6970	242	16	of	of	ADP
ejpam-6970	242	17	inverting	invert	VERB
ejpam-6970	242	18	laplace	laplace	NOUN
ejpam-6970	242	19	transforms	transform	VERB
ejpam-6970	242	20	that	that	PRON
ejpam-6970	242	21	involve	involve	VERB
ejpam-6970	242	22	highly	highly	ADV
ejpam-6970	242	23	oscillatory	oscillatory	ADJ
ejpam-6970	242	24	or	or	CCONJ
ejpam-6970	242	25	slowly	slowly	ADV
ejpam-6970	242	26	decaying	decay	VERB
ejpam-6970	242	27	terms	term	NOUN
ejpam-6970	242	28	by	by	ADP
ejpam-6970	242	29	deforming	deform	VERB
ejpam-6970	242	30	the	the	DET
ejpam-6970	242	31	bromwich	bromwich	NOUN
ejpam-6970	242	32	contour	contour	NOUN
ejpam-6970	242	33	.	.	PUNCT
ejpam-6970	243	1	the	the	DET
ejpam-6970	243	2	key	key	ADJ
ejpam-6970	243	3	idea	idea	NOUN
ejpam-6970	243	4	is	be	AUX
ejpam-6970	243	5	to	to	PART
ejpam-6970	243	6	replace	replace	VERB
ejpam-6970	243	7	the	the	DET
ejpam-6970	243	8	standard	standard	ADJ
ejpam-6970	243	9	vertical	vertical	ADJ
ejpam-6970	243	10	line	line	NOUN
ejpam-6970	243	11	with	with	ADP
ejpam-6970	243	12	a	a	DET
ejpam-6970	243	13	contour	contour	NOUN
ejpam-6970	243	14	that	that	PRON
ejpam-6970	243	15	begins	begin	VERB
ejpam-6970	243	16	and	and	CCONJ
ejpam-6970	243	17	ends	end	VERB
ejpam-6970	243	18	in	in	ADP
ejpam-6970	243	19	the	the	DET
ejpam-6970	243	20	left	left	ADJ
ejpam-6970	243	21	half	half	ADJ
ejpam-6970	243	22	-	-	PUNCT
ejpam-6970	243	23	plane	plane	NOUN
ejpam-6970	243	24	,	,	PUNCT
ejpam-6970	243	25	ensuring	ensure	VERB
ejpam-6970	243	26	it	it	PRON
ejpam-6970	243	27	encircles	encircle	VERB
ejpam-6970	243	28	all	all	DET
ejpam-6970	243	29	singularities	singularity	NOUN
ejpam-6970	243	30	of	of	ADP
ejpam-6970	243	31	y	y	PROPN
ejpam-6970	243	32	(	(	PUNCT
ejpam-6970	243	33	z	z	NOUN
ejpam-6970	243	34	)	)	PUNCT
ejpam-6970	243	35	.	.	PUNCT
ejpam-6970	244	1	this	this	DET
ejpam-6970	244	2	deformation	deformation	NOUN
ejpam-6970	244	3	forces	force	VERB
ejpam-6970	244	4	the	the	DET
ejpam-6970	244	5	exponential	exponential	ADJ
ejpam-6970	244	6	term	term	NOUN
ejpam-6970	244	7	ezτ	ezτ	ADP
ejpam-6970	244	8	to	to	PART
ejpam-6970	244	9	decay	decay	VERB
ejpam-6970	244	10	rapidly	rapidly	ADV
ejpam-6970	244	11	along	along	ADP
ejpam-6970	244	12	the	the	DET
ejpam-6970	244	13	chosen	choose	VERB
ejpam-6970	244	14	path	path	NOUN
ejpam-6970	244	15	,	,	PUNCT
ejpam-6970	244	16	enabling	enable	VERB
ejpam-6970	244	17	an	an	DET
ejpam-6970	244	18	efficient	efficient	ADJ
ejpam-6970	244	19	numerical	numerical	ADJ
ejpam-6970	244	20	approximation	approximation	NOUN
ejpam-6970	244	21	of	of	ADP
ejpam-6970	244	22	the	the	DET
ejpam-6970	244	23	integral	integral	ADJ
ejpam-6970	244	24	via	via	ADP
ejpam-6970	244	25	the	the	DET
ejpam-6970	244	26	midpoint	midpoint	NOUN
ejpam-6970	244	27	or	or	CCONJ
ejpam-6970	244	28	trapezoidal	trapezoidal	ADJ
ejpam-6970	244	29	rule	rule	NOUN
ejpam-6970	244	30	.	.	PUNCT
ejpam-6970	245	1	in	in	ADP
ejpam-6970	245	2	this	this	DET
ejpam-6970	245	3	work	work	NOUN
ejpam-6970	245	4	,	,	PUNCT
ejpam-6970	245	5	we	we	PRON
ejpam-6970	245	6	consider	consider	VERB
ejpam-6970	245	7	a	a	DET
ejpam-6970	245	8	hankel	hankel	NOUN
ejpam-6970	245	9	contour	contour	NOUN
ejpam-6970	245	10	parameterized	parameterized	ADJ
ejpam-6970	245	11	as	as	ADP
ejpam-6970	245	12	:	:	PUNCT
ejpam-6970	245	13	γ	γ	X
ejpam-6970	245	14	:	:	PUNCT
ejpam-6970	245	15	z	z	NOUN
ejpam-6970	245	16	=	=	PUNCT
ejpam-6970	245	17	z(ϑ	z(ϑ	PROPN
ejpam-6970	245	18	)	)	PUNCT
ejpam-6970	245	19	,	,	PUNCT
ejpam-6970	245	20	ϑ	ϑ	X
ejpam-6970	245	21	∈	∈	X
ejpam-6970	246	1	[	[	X
ejpam-6970	246	2	π,−π	π,−π	X
ejpam-6970	246	3	]	]	X
ejpam-6970	246	4	,	,	PUNCT
ejpam-6970	246	5	(	(	PUNCT
ejpam-6970	246	6	11	11	NUM
ejpam-6970	246	7	)	)	PUNCT
ejpam-6970	246	8	where	where	SCONJ
ejpam-6970	246	9	rez(±π	rez(±π	VERB
ejpam-6970	246	10	)	)	PUNCT
ejpam-6970	246	11	=	=	SYM
ejpam-6970	246	12	−∞.	−∞.	NOUN
ejpam-6970	246	13	substituting	substitute	VERB
ejpam-6970	246	14	this	this	PRON
ejpam-6970	246	15	into	into	ADP
ejpam-6970	246	16	(	(	PUNCT
ejpam-6970	246	17	5	5	NUM
ejpam-6970	246	18	)	)	PUNCT
ejpam-6970	246	19	yields	yield	NOUN
ejpam-6970	246	20	y(τ	y(τ	PROPN
ejpam-6970	246	21	)	)	PUNCT
ejpam-6970	246	22	=	=	SYM
ejpam-6970	246	23	1	1	NUM
ejpam-6970	246	24	2πi	2πi	ADJ
ejpam-6970	246	25	∫	∫	PROPN
ejpam-6970	246	26	γ	γ	PROPN
ejpam-6970	246	27	ezτy	ezτy	NOUN
ejpam-6970	246	28	(	(	PUNCT
ejpam-6970	247	1	z)dz	z)dz	PROPN
ejpam-6970	247	2	=	=	NOUN
ejpam-6970	247	3	1	1	NUM
ejpam-6970	247	4	2πι	2πι	NOUN
ejpam-6970	247	5	∫	∫	PROPN
ejpam-6970	247	6	π	π	NOUN
ejpam-6970	247	7	−π	−π	PRON
ejpam-6970	247	8	ez(ϑ)τy	ez(ϑ)τy	X
ejpam-6970	247	9	(	(	PUNCT
ejpam-6970	247	10	z(ϑ))z′(ϑ)dϑ.	z(ϑ))z′(ϑ)dϑ.	NUM
ejpam-6970	247	11	(	(	PUNCT
ejpam-6970	247	12	12	12	NUM
ejpam-6970	247	13	)	)	PUNCT
ejpam-6970	247	14	here	here	ADV
ejpam-6970	247	15	,	,	PUNCT
ejpam-6970	247	16	the	the	DET
ejpam-6970	247	17	contour	contour	NOUN
ejpam-6970	247	18	z(ϑ	z(ϑ	NOUN
ejpam-6970	247	19	)	)	PUNCT
ejpam-6970	247	20	is	be	AUX
ejpam-6970	247	21	defined	define	VERB
ejpam-6970	247	22	as	as	ADP
ejpam-6970	247	23	:	:	PUNCT
ejpam-6970	247	24	z(ϑ	z(ϑ	PROPN
ejpam-6970	247	25	)	)	PUNCT
ejpam-6970	247	26	=	=	SYM
ejpam-6970	247	27	nt	nt	PROPN
ejpam-6970	247	28	t	t	PROPN
ejpam-6970	247	29	ζ(ϑ	ζ(ϑ	PROPN
ejpam-6970	247	30	)	)	PUNCT
ejpam-6970	247	31	,	,	PUNCT
ejpam-6970	247	32	ζ(ϑ	ζ(ϑ	PROPN
ejpam-6970	247	33	)	)	PUNCT
ejpam-6970	247	34	=	=	PUNCT
ejpam-6970	248	1	−σ	−σ	NOUN
ejpam-6970	248	2	+	+	CCONJ
ejpam-6970	248	3	θϑ	θϑ	NOUN
ejpam-6970	248	4	cot(µϑ	cot(µϑ	NUM
ejpam-6970	248	5	)	)	PUNCT
ejpam-6970	249	1	+	+	CCONJ
ejpam-6970	250	1	γιϑ	γιϑ	ADJ
ejpam-6970	250	2	,	,	PUNCT
ejpam-6970	250	3	(	(	PUNCT
ejpam-6970	250	4	13	13	NUM
ejpam-6970	250	5	)	)	PUNCT
ejpam-6970	251	1	where	where	SCONJ
ejpam-6970	251	2	σ	σ	PROPN
ejpam-6970	251	3	,	,	PUNCT
ejpam-6970	251	4	θ	θ	PROPN
ejpam-6970	251	5	,	,	PUNCT
ejpam-6970	251	6	ϑ	ϑ	X
ejpam-6970	251	7	,	,	PUNCT
ejpam-6970	251	8	and	and	CCONJ
ejpam-6970	251	9	γ	γ	NOUN
ejpam-6970	251	10	are	be	AUX
ejpam-6970	251	11	user	user	NOUN
ejpam-6970	251	12	-	-	PUNCT
ejpam-6970	251	13	defined	define	VERB
ejpam-6970	251	14	parameters	parameter	NOUN
ejpam-6970	251	15	.	.	PUNCT
ejpam-6970	252	1	the	the	PRON
ejpam-6970	252	2	integral	integral	ADJ
ejpam-6970	252	3	in	in	ADP
ejpam-6970	252	4	(	(	PUNCT
ejpam-6970	252	5	13	13	NUM
ejpam-6970	252	6	)	)	PUNCT
ejpam-6970	252	7	is	be	AUX
ejpam-6970	252	8	approximated	approximate	VERB
ejpam-6970	252	9	using	use	VERB
ejpam-6970	252	10	the	the	DET
ejpam-6970	252	11	midpoint	midpoint	NOUN
ejpam-6970	252	12	rule	rule	NOUN
ejpam-6970	252	13	with	with	ADP
ejpam-6970	252	14	nt	not	PART
ejpam-6970	252	15	equally	equally	ADV
ejpam-6970	252	16	spaced	space	VERB
ejpam-6970	252	17	panels	panel	NOUN
ejpam-6970	252	18	of	of	ADP
ejpam-6970	252	19	step	step	NOUN
ejpam-6970	252	20	size	size	NOUN
ejpam-6970	252	21	h	h	NOUN
ejpam-6970	253	1	=	=	NOUN
ejpam-6970	253	2	2π	2π	NOUN
ejpam-6970	253	3	nt	not	PART
ejpam-6970	253	4	:	:	PUNCT
ejpam-6970	253	5	yap(τ	yap(τ	PROPN
ejpam-6970	253	6	)	)	PUNCT
ejpam-6970	254	1	≈	≈	PROPN
ejpam-6970	254	2	1	1	NUM
ejpam-6970	254	3	nt	not	PART
ejpam-6970	254	4	i	i	PRON
ejpam-6970	254	5	nt∑	nt∑	ADJ
ejpam-6970	254	6	k=1	k=1	X
ejpam-6970	254	7	ez(ϑk)ty	ez(ϑk)ty	X
ejpam-6970	254	8	(	(	PUNCT
ejpam-6970	254	9	z(ϑk))z	z(ϑk))z	NOUN
ejpam-6970	254	10	′(ϑk	′(ϑk	PROPN
ejpam-6970	254	11	)	)	PUNCT
ejpam-6970	254	12	,	,	PUNCT
ejpam-6970	254	13	ϑk	ϑk	PROPN
ejpam-6970	255	1	=	=	NOUN
ejpam-6970	255	2	−π	−π	PROPN
ejpam-6970	256	1	+	+	CCONJ
ejpam-6970	256	2	(	(	PUNCT
ejpam-6970	256	3	k	k	X
ejpam-6970	256	4	−	−	PROPN
ejpam-6970	256	5	1	1	NUM
ejpam-6970	256	6	2	2	NUM
ejpam-6970	256	7	)	)	PUNCT
ejpam-6970	256	8	h.	h.	NOUN
ejpam-6970	256	9	(	(	PUNCT
ejpam-6970	256	10	14	14	NUM
ejpam-6970	256	11	)	)	PUNCT
ejpam-6970	256	12	3.2.1	3.2.1	NUM
ejpam-6970	256	13	.	.	PUNCT
ejpam-6970	257	1	convergence	convergence	NOUN
ejpam-6970	257	2	of	of	ADP
ejpam-6970	257	3	talbot	talbot	PROPN
ejpam-6970	257	4	’s	’s	PART
ejpam-6970	257	5	method	method	NOUN
ejpam-6970	257	6	the	the	DET
ejpam-6970	257	7	itm	itm	NOUN
ejpam-6970	257	8	achieves	achieve	VERB
ejpam-6970	257	9	exponential	exponential	ADJ
ejpam-6970	257	10	convergence	convergence	NOUN
ejpam-6970	257	11	when	when	SCONJ
ejpam-6970	257	12	the	the	DET
ejpam-6970	257	13	integration	integration	NOUN
ejpam-6970	257	14	contour	contour	NOUN
ejpam-6970	257	15	is	be	AUX
ejpam-6970	257	16	optimally	optimally	ADV
ejpam-6970	257	17	parameterized	parameterize	VERB
ejpam-6970	257	18	.	.	PUNCT
ejpam-6970	258	1	the	the	DET
ejpam-6970	258	2	convergence	convergence	NOUN
ejpam-6970	258	3	rate	rate	NOUN
ejpam-6970	258	4	depends	depend	VERB
ejpam-6970	258	5	on	on	ADP
ejpam-6970	258	6	the	the	DET
ejpam-6970	258	7	choice	choice	NOUN
ejpam-6970	258	8	of	of	ADP
ejpam-6970	258	9	parameters	parameter	NOUN
ejpam-6970	258	10	σ	σ	PROPN
ejpam-6970	258	11	,	,	PUNCT
ejpam-6970	258	12	ϑ	ϑ	X
ejpam-6970	258	13	,	,	PUNCT
ejpam-6970	258	14	γ	γ	X
ejpam-6970	258	15	,	,	PUNCT
ejpam-6970	258	16	and	and	CCONJ
ejpam-6970	258	17	µ	µ	X
ejpam-6970	258	18	in	in	ADP
ejpam-6970	258	19	the	the	DET
ejpam-6970	258	20	hankel	hankel	NOUN
ejpam-6970	258	21	contour	contour	NOUN
ejpam-6970	258	22	z(ϑ	z(ϑ	PROPN
ejpam-6970	258	23	)	)	PUNCT
ejpam-6970	258	24	.	.	PUNCT
ejpam-6970	259	1	while	while	SCONJ
ejpam-6970	259	2	talbot	talbot	PROPN
ejpam-6970	259	3	’s	’s	PART
ejpam-6970	259	4	original	original	ADJ
ejpam-6970	259	5	contour	contour	NOUN
ejpam-6970	259	6	(	(	PUNCT
ejpam-6970	259	7	µ	µ	NOUN
ejpam-6970	259	8	=	=	SYM
ejpam-6970	259	9	1	1	NUM
ejpam-6970	259	10	)	)	PUNCT
ejpam-6970	259	11	suggested	suggest	VERB
ejpam-6970	259	12	in	in	ADP
ejpam-6970	259	13	[	[	X
ejpam-6970	259	14	31	31	NUM
ejpam-6970	259	15	]	]	PUNCT
ejpam-6970	259	16	yields	yield	VERB
ejpam-6970	259	17	satisfactory	satisfactory	ADJ
ejpam-6970	259	18	results	result	NOUN
ejpam-6970	259	19	,	,	PUNCT
ejpam-6970	260	1	the	the	DET
ejpam-6970	260	2	authors	author	NOUN
ejpam-6970	260	3	of	of	ADP
ejpam-6970	260	4	[	[	X
ejpam-6970	260	5	32	32	NUM
ejpam-6970	260	6	]	]	PUNCT
ejpam-6970	260	7	modified	modify	VERB
ejpam-6970	260	8	µ	µ	X
ejpam-6970	260	9	to	to	ADP
ejpam-6970	260	10	the	the	DET
ejpam-6970	260	11	range	range	NOUN
ejpam-6970	260	12	0	0	PUNCT
ejpam-6970	260	13	<	<	X
ejpam-6970	260	14	µ	µ	X
ejpam-6970	260	15	<	<	X
ejpam-6970	260	16	1	1	NUM
ejpam-6970	260	17	,	,	PUNCT
ejpam-6970	260	18	which	which	PRON
ejpam-6970	260	19	significantly	significantly	ADV
ejpam-6970	260	20	accelerates	accelerate	VERB
ejpam-6970	260	21	the	the	DET
ejpam-6970	260	22	convergence	convergence	NOUN
ejpam-6970	260	23	.	.	PUNCT
ejpam-6970	261	1	the	the	DET
ejpam-6970	261	2	step	step	NOUN
ejpam-6970	261	3	size	size	NOUN
ejpam-6970	261	4	h	h	NOUN
ejpam-6970	262	1	=	=	NOUN
ejpam-6970	262	2	2π	2π	NOUN
ejpam-6970	262	3	wt	wt	VERB
ejpam-6970	262	4	also	also	ADV
ejpam-6970	262	5	affects	affect	VERB
ejpam-6970	262	6	accuracy	accuracy	NOUN
ejpam-6970	262	7	;	;	PUNCT
ejpam-6970	262	8	a	a	DET
ejpam-6970	262	9	larger	large	ADJ
ejpam-6970	262	10	wt	wt	NOUN
ejpam-6970	262	11	results	result	NOUN
ejpam-6970	262	12	in	in	ADP
ejpam-6970	262	13	a	a	DET
ejpam-6970	262	14	smaller	small	ADJ
ejpam-6970	262	15	h	h	NOUN
ejpam-6970	262	16	,	,	PUNCT
ejpam-6970	262	17	reducing	reduce	VERB
ejpam-6970	262	18	the	the	DET
ejpam-6970	262	19	error	error	NOUN
ejpam-6970	262	20	exponentially	exponentially	ADV
ejpam-6970	262	21	,	,	PUNCT
ejpam-6970	262	22	as	as	SCONJ
ejpam-6970	262	23	evidenced	evidence	VERB
ejpam-6970	262	24	by	by	ADP
ejpam-6970	262	25	the	the	DET
ejpam-6970	262	26	error	error	NOUN
ejpam-6970	262	27	estimate	estimate	NOUN
ejpam-6970	262	28	o(e−1.358wt	o(e−1.358wt	PROPN
ejpam-6970	262	29	)	)	PUNCT
ejpam-6970	262	30	.	.	PUNCT
ejpam-6970	263	1	for	for	ADP
ejpam-6970	263	2	optimal	optimal	ADJ
ejpam-6970	263	3	performance	performance	NOUN
ejpam-6970	263	4	,	,	PUNCT
ejpam-6970	263	5	the	the	DET
ejpam-6970	263	6	contour	contour	NOUN
ejpam-6970	263	7	must	must	AUX
ejpam-6970	263	8	balance	balance	VERB
ejpam-6970	263	9	being	be	AUX
ejpam-6970	263	10	too	too	ADV
ejpam-6970	263	11	close	close	ADJ
ejpam-6970	263	12	to	to	ADP
ejpam-6970	263	13	the	the	DET
ejpam-6970	263	14	singularities	singularity	NOUN
ejpam-6970	263	15	and	and	CCONJ
ejpam-6970	263	16	too	too	ADV
ejpam-6970	263	17	far	far	ADV
ejpam-6970	263	18	away	away	ADV
ejpam-6970	263	19	.	.	PUNCT
ejpam-6970	264	1	the	the	DET
ejpam-6970	264	2	parameter	parameter	NOUN
ejpam-6970	264	3	values	value	NOUN
ejpam-6970	264	4	found	find	VERB
ejpam-6970	264	5	through	through	ADP
ejpam-6970	264	6	experimentation	experimentation	NOUN
ejpam-6970	264	7	in	in	ADP
ejpam-6970	264	8	[	[	X
ejpam-6970	264	9	32	32	NUM
ejpam-6970	264	10	]	]	PUNCT
ejpam-6970	264	11	are	be	AUX
ejpam-6970	264	12	σ	σ	NOUN
ejpam-6970	264	13	=	=	SYM
ejpam-6970	264	14	0.6122	0.6122	NUM
ejpam-6970	264	15	,	,	PUNCT
ejpam-6970	264	16	θ	θ	PROPN
ejpam-6970	264	17	=	=	SYM
ejpam-6970	264	18	0.5017	0.5017	NUM
ejpam-6970	264	19	,	,	PUNCT
ejpam-6970	264	20	γ	γ	X
ejpam-6970	264	21	=	=	SYM
ejpam-6970	264	22	0.2645	0.2645	NUM
ejpam-6970	264	23	,	,	PUNCT
ejpam-6970	264	24	and	and	CCONJ
ejpam-6970	264	25	µ	µ	X
ejpam-6970	264	26	=	=	SYM
ejpam-6970	264	27	0.6407	0.6407	NOUN
ejpam-6970	264	28	,	,	PUNCT
ejpam-6970	264	29	which	which	PRON
ejpam-6970	264	30	maximize	maximize	VERB
ejpam-6970	264	31	the	the	DET
ejpam-6970	264	32	convergence	convergence	NOUN
ejpam-6970	264	33	efficiency	efficiency	NOUN
ejpam-6970	264	34	and	and	CCONJ
ejpam-6970	264	35	make	make	VERB
ejpam-6970	264	36	the	the	DET
ejpam-6970	264	37	approach	approach	NOUN
ejpam-6970	264	38	robust	robust	ADJ
ejpam-6970	264	39	for	for	ADP
ejpam-6970	264	40	inverting	invert	VERB
ejpam-6970	264	41	the	the	DET
ejpam-6970	264	42	laplace	laplace	NOUN
ejpam-6970	264	43	transform	transform	NOUN
ejpam-6970	264	44	.	.	PUNCT
ejpam-6970	265	1	the	the	DET
ejpam-6970	265	2	error	error	NOUN
ejpam-6970	265	3	estimate	estimate	NOUN
ejpam-6970	265	4	of	of	ADP
ejpam-6970	265	5	the	the	DET
ejpam-6970	265	6	method	method	NOUN
ejpam-6970	265	7	is	be	AUX
ejpam-6970	265	8	given	give	VERB
ejpam-6970	265	9	by	by	ADP
ejpam-6970	265	10	:	:	PUNCT
ejpam-6970	265	11	errest	err	ADJ
ejpam-6970	265	12	=	=	SYM
ejpam-6970	266	1	|yapp(τ)−	|yapp(τ)−	PUNCT
ejpam-6970	266	2	y(τ)|	y(τ)|	NOUN
ejpam-6970	266	3	=	=	PUNCT
ejpam-6970	267	1	o(e−1.358nt	o(e−1.358nt	ADV
ejpam-6970	267	2	)	)	PUNCT
ejpam-6970	267	3	.	.	PUNCT
ejpam-6970	268	1	kamran	kamran	PROPN
ejpam-6970	268	2	et	et	PROPN
ejpam-6970	268	3	al	al	PROPN
ejpam-6970	268	4	.	.	PUNCT
ejpam-6970	268	5	/	/	SYM
ejpam-6970	268	6	eur	eur	PROPN
ejpam-6970	268	7	.	.	PUNCT
ejpam-6970	269	1	j.	j.	PROPN
ejpam-6970	269	2	pure	pure	PROPN
ejpam-6970	269	3	appl	appl	PROPN
ejpam-6970	269	4	.	.	PROPN
ejpam-6970	269	5	math	math	PROPN
ejpam-6970	269	6	,	,	PUNCT
ejpam-6970	269	7	18	18	NUM
ejpam-6970	269	8	(	(	PUNCT
ejpam-6970	269	9	4	4	NUM
ejpam-6970	269	10	)	)	PUNCT
ejpam-6970	269	11	(	(	PUNCT
ejpam-6970	269	12	2025	2025	NUM
ejpam-6970	269	13	)	)	PUNCT
ejpam-6970	269	14	,	,	PUNCT
ejpam-6970	269	15	6970	6970	NUM
ejpam-6970	269	16	11	11	NUM
ejpam-6970	269	17	of	of	ADP
ejpam-6970	269	18	22	22	NUM
ejpam-6970	269	19	4	4	NUM
ejpam-6970	269	20	.	.	PUNCT
ejpam-6970	269	21	numerical	numerical	ADJ
ejpam-6970	269	22	examples	example	NOUN
ejpam-6970	269	23	this	this	DET
ejpam-6970	269	24	section	section	NOUN
ejpam-6970	269	25	demonstrates	demonstrate	VERB
ejpam-6970	269	26	the	the	DET
ejpam-6970	269	27	performance	performance	NOUN
ejpam-6970	269	28	of	of	ADP
ejpam-6970	269	29	the	the	DET
ejpam-6970	269	30	proposed	propose	VERB
ejpam-6970	269	31	method	method	NOUN
ejpam-6970	269	32	through	through	ADP
ejpam-6970	269	33	three	three	NUM
ejpam-6970	269	34	representative	representative	ADJ
ejpam-6970	269	35	examples	example	NOUN
ejpam-6970	269	36	.	.	PUNCT
ejpam-6970	270	1	detailed	detailed	ADJ
ejpam-6970	270	2	numerical	numerical	ADJ
ejpam-6970	270	3	experiments	experiment	NOUN
ejpam-6970	270	4	have	have	AUX
ejpam-6970	270	5	been	be	AUX
ejpam-6970	270	6	carried	carry	VERB
ejpam-6970	270	7	out	out	ADP
ejpam-6970	270	8	to	to	PART
ejpam-6970	270	9	establish	establish	VERB
ejpam-6970	270	10	a	a	DET
ejpam-6970	270	11	strong	strong	ADJ
ejpam-6970	270	12	foundation	foundation	NOUN
ejpam-6970	270	13	for	for	ADP
ejpam-6970	270	14	comparative	comparative	ADJ
ejpam-6970	270	15	evaluation	evaluation	NOUN
ejpam-6970	270	16	.	.	PUNCT
ejpam-6970	271	1	to	to	PART
ejpam-6970	271	2	validate	validate	VERB
ejpam-6970	271	3	the	the	DET
ejpam-6970	271	4	accuracy	accuracy	NOUN
ejpam-6970	271	5	of	of	ADP
ejpam-6970	271	6	the	the	DET
ejpam-6970	271	7	inversion	inversion	NOUN
ejpam-6970	271	8	methods	method	NOUN
ejpam-6970	271	9	,	,	PUNCT
ejpam-6970	271	10	we	we	PRON
ejpam-6970	271	11	employ	employ	VERB
ejpam-6970	271	12	two	two	NUM
ejpam-6970	271	13	error	error	NOUN
ejpam-6970	271	14	metrics	metric	NOUN
ejpam-6970	271	15	:	:	PUNCT
ejpam-6970	271	16	the	the	DET
ejpam-6970	271	17	maximum	maximum	ADJ
ejpam-6970	271	18	absolute	absolute	ADJ
ejpam-6970	271	19	error	error	NOUN
ejpam-6970	271	20	,	,	PUNCT
ejpam-6970	271	21	denoted	denote	VERB
ejpam-6970	271	22	by	by	ADP
ejpam-6970	271	23	l∞	l∞	NOUN
ejpam-6970	271	24	,	,	PUNCT
ejpam-6970	271	25	and	and	CCONJ
ejpam-6970	271	26	the	the	DET
ejpam-6970	271	27	root	root	NOUN
ejpam-6970	271	28	mean	mean	VERB
ejpam-6970	271	29	square	square	NOUN
ejpam-6970	271	30	error	error	NOUN
ejpam-6970	271	31	,	,	PUNCT
ejpam-6970	271	32	denoted	denote	VERB
ejpam-6970	271	33	by	by	ADP
ejpam-6970	271	34	lrms	lrm	NOUN
ejpam-6970	271	35	,	,	PUNCT
ejpam-6970	271	36	defined	define	VERB
ejpam-6970	271	37	as	as	SCONJ
ejpam-6970	271	38	follows	follow	VERB
ejpam-6970	271	39	:	:	PUNCT
ejpam-6970	271	40	lin	lin	PROPN
ejpam-6970	271	41	=	=	PROPN
ejpam-6970	271	42	max	max	PROPN
ejpam-6970	271	43	1≤j≤ng	1≤j≤ng	NUM
ejpam-6970	271	44	|y(τj)−	|y(τj)−	NOUN
ejpam-6970	271	45	yn(τj))|	yn(τj))|	PROPN
ejpam-6970	271	46	,	,	PUNCT
ejpam-6970	271	47	and	and	CCONJ
ejpam-6970	271	48	lrms	lrm	NOUN
ejpam-6970	271	49	=	=	SYM
ejpam-6970	271	50	√∑ng	√∑ng	X
ejpam-6970	271	51	j=1(y(τj)−	j=1(y(τj)−	PROPN
ejpam-6970	271	52	yn(τj))2	yn(τj))2	NUM
ejpam-6970	272	1	n	n	INTJ
ejpam-6970	272	2	,	,	PUNCT
ejpam-6970	272	3	where	where	SCONJ
ejpam-6970	272	4	ng	ng	PROPN
ejpam-6970	272	5	denotes	denote	VERB
ejpam-6970	272	6	the	the	DET
ejpam-6970	272	7	number	number	NOUN
ejpam-6970	272	8	of	of	ADP
ejpam-6970	272	9	nodes	node	NOUN
ejpam-6970	272	10	used	use	VERB
ejpam-6970	272	11	in	in	ADP
ejpam-6970	272	12	the	the	DET
ejpam-6970	272	13	ghq	ghq	NOUN
ejpam-6970	272	14	method	method	NOUN
ejpam-6970	272	15	,	,	PUNCT
ejpam-6970	272	16	y(τ	y(τ	PROPN
ejpam-6970	272	17	)	)	PUNCT
ejpam-6970	272	18	represents	represent	VERB
ejpam-6970	272	19	the	the	DET
ejpam-6970	272	20	exact	exact	ADJ
ejpam-6970	272	21	solution	solution	NOUN
ejpam-6970	272	22	,	,	PUNCT
ejpam-6970	272	23	and	and	CCONJ
ejpam-6970	272	24	yn(τ	yn(τ	ADV
ejpam-6970	272	25	)	)	PUNCT
ejpam-6970	272	26	represents	represent	VERB
ejpam-6970	272	27	the	the	DET
ejpam-6970	272	28	numerical	numerical	ADJ
ejpam-6970	272	29	solution	solution	NOUN
ejpam-6970	272	30	of	of	ADP
ejpam-6970	272	31	the	the	DET
ejpam-6970	272	32	problem	problem	NOUN
ejpam-6970	272	33	considered	consider	VERB
ejpam-6970	272	34	.	.	PUNCT
ejpam-6970	273	1	in	in	ADP
ejpam-6970	273	2	all	all	DET
ejpam-6970	273	3	our	our	PRON
ejpam-6970	273	4	experiments	experiment	NOUN
ejpam-6970	273	5	,	,	PUNCT
ejpam-6970	273	6	the	the	DET
ejpam-6970	273	7	source	source	NOUN
ejpam-6970	273	8	term	term	NOUN
ejpam-6970	273	9	f(τ	f(τ	PROPN
ejpam-6970	273	10	)	)	PUNCT
ejpam-6970	273	11	and	and	CCONJ
ejpam-6970	273	12	the	the	DET
ejpam-6970	273	13	initial	initial	ADJ
ejpam-6970	273	14	conditions	condition	NOUN
ejpam-6970	273	15	are	be	AUX
ejpam-6970	273	16	derived	derive	VERB
ejpam-6970	273	17	from	from	ADP
ejpam-6970	273	18	the	the	DET
ejpam-6970	273	19	exact	exact	ADJ
ejpam-6970	273	20	solution	solution	NOUN
ejpam-6970	273	21	.	.	PUNCT
ejpam-6970	274	1	problem	problem	NOUN
ejpam-6970	274	2	1	1	NUM
ejpam-6970	274	3	we	we	PRON
ejpam-6970	274	4	consider	consider	VERB
ejpam-6970	274	5	the	the	DET
ejpam-6970	274	6	fovide	fovide	NOUN
ejpam-6970	274	7	(	(	PUNCT
ejpam-6970	274	8	1	1	NUM
ejpam-6970	274	9	)	)	PUNCT
ejpam-6970	274	10	with	with	ADP
ejpam-6970	274	11	the	the	DET
ejpam-6970	274	12	exact	exact	ADJ
ejpam-6970	274	13	solution	solution	NOUN
ejpam-6970	274	14	y(τ	y(τ	PROPN
ejpam-6970	274	15	)	)	PUNCT
ejpam-6970	274	16	=	=	SYM
ejpam-6970	274	17	τ2	τ2	ADJ
ejpam-6970	274	18	.	.	PUNCT
ejpam-6970	274	19	table	table	NOUN
ejpam-6970	274	20	1	1	NUM
ejpam-6970	274	21	:	:	PUNCT
ejpam-6970	274	22	comparison	comparison	NOUN
ejpam-6970	274	23	of	of	ADP
ejpam-6970	274	24	the	the	DET
ejpam-6970	274	25	improved	improved	ADJ
ejpam-6970	274	26	gm	gm	PROPN
ejpam-6970	274	27	and	and	CCONJ
ejpam-6970	274	28	itm	itm	PROPN
ejpam-6970	274	29	methods	method	NOUN
ejpam-6970	274	30	for	for	ADP
ejpam-6970	274	31	problem	problem	NOUN
ejpam-6970	274	32	1	1	NUM
ejpam-6970	274	33	,	,	PUNCT
ejpam-6970	274	34	showing	show	VERB
ejpam-6970	274	35	lin	lin	PROPN
ejpam-6970	274	36	and	and	CCONJ
ejpam-6970	274	37	lrms	lrms	PROPN
ejpam-6970	274	38	.	.	PUNCT
ejpam-6970	275	1	gm	gm	PROPN
ejpam-6970	275	2	itm	itm	PROPN
ejpam-6970	275	3	ng	ng	PROPN
ejpam-6970	275	4	lin	lin	PROPN
ejpam-6970	275	5	lrms	lrms	PROPN
ejpam-6970	275	6	cpu	cpu	VERB
ejpam-6970	275	7	(	(	PUNCT
ejpam-6970	275	8	s	s	X
ejpam-6970	275	9	)	)	PUNCT
ejpam-6970	275	10	nt	not	PART
ejpam-6970	275	11	lin	lin	PROPN
ejpam-6970	275	12	lrms	lrms	PROPN
ejpam-6970	275	13	cpu(s	cpu(s	PROPN
ejpam-6970	275	14	)	)	PUNCT
ejpam-6970	275	15	15	15	NUM
ejpam-6970	275	16	2.55×	2.55×	NUM
ejpam-6970	275	17	10−08	10−08	NUM
ejpam-6970	275	18	6.59×	6.59×	NUM
ejpam-6970	275	19	10−09	10−09	NOUN
ejpam-6970	275	20	0.081	0.081	NUM
ejpam-6970	275	21	12	12	NUM
ejpam-6970	275	22	3.22×	3.22×	NUM
ejpam-6970	275	23	10−04	10−04	NUM
ejpam-6970	275	24	9.31×	9.31×	NUM
ejpam-6970	275	25	10−05	10−05	PROPN
ejpam-6970	275	26	0.012	0.012	NUM
ejpam-6970	275	27	16	16	NUM
ejpam-6970	275	28	5.61×	5.61×	NUM
ejpam-6970	275	29	10−09	10−09	NOUN
ejpam-6970	275	30	5.61×	5.61×	NUM
ejpam-6970	275	31	10−09	10−09	NOUN
ejpam-6970	275	32	0.109	0.109	NUM
ejpam-6970	275	33	14	14	NUM
ejpam-6970	275	34	2.91×	2.91×	NUM
ejpam-6970	275	35	10−05	10−05	PROPN
ejpam-6970	275	36	7.77×	7.77×	NUM
ejpam-6970	275	37	10−06	10−06	NUM
ejpam-6970	275	38	0.015	0.015	NUM
ejpam-6970	275	39	17	17	NUM
ejpam-6970	275	40	1.30×	1.30×	NUM
ejpam-6970	275	41	10−09	10−09	PROPN
ejpam-6970	275	42	3.15×	3.15×	NUM
ejpam-6970	275	43	10−10	10−10	NUM
ejpam-6970	275	44	0.078	0.078	NUM
ejpam-6970	275	45	16	16	NUM
ejpam-6970	275	46	2.91×	2.91×	NUM
ejpam-6970	275	47	10−06	10−06	PROPN
ejpam-6970	275	48	6.29×	6.29×	NUM
ejpam-6970	275	49	10−07	10−07	NUM
ejpam-6970	275	50	0.012	0.012	NUM
ejpam-6970	275	51	18	18	NUM
ejpam-6970	275	52	2.83×	2.83×	NUM
ejpam-6970	275	53	10−10	10−10	NUM
ejpam-6970	275	54	6.68×	6.68×	NUM
ejpam-6970	275	55	10−11	10−11	NUM
ejpam-6970	275	56	0.113	0.113	NUM
ejpam-6970	275	57	18	18	NUM
ejpam-6970	275	58	2.11×	2.11×	NUM
ejpam-6970	275	59	10−07	10−07	NUM
ejpam-6970	275	60	4.98×	4.98×	NUM
ejpam-6970	275	61	10−08	10−08	NUM
ejpam-6970	275	62	0.012	0.012	NUM
ejpam-6970	275	63	19	19	NUM
ejpam-6970	275	64	6.48×	6.48×	NUM
ejpam-6970	275	65	10−11	10−11	NUM
ejpam-6970	275	66	1.49×	1.49×	NUM
ejpam-6970	275	67	10−11	10−11	NOUN
ejpam-6970	275	68	0.083	0.083	NUM
ejpam-6970	275	69	20	20	NUM
ejpam-6970	275	70	1.73×	1.73×	NUM
ejpam-6970	275	71	10−08	10−08	PROPN
ejpam-6970	275	72	3.87×	3.87×	NUM
ejpam-6970	275	73	10−09	10−09	NOUN
ejpam-6970	275	74	0.013	0.013	NUM
ejpam-6970	275	75	20	20	NUM
ejpam-6970	275	76	1.40×	1.40×	NUM
ejpam-6970	275	77	10−11	10−11	NUM
ejpam-6970	275	78	3.13×	3.13×	NUM
ejpam-6970	275	79	10−12	10−12	NOUN
ejpam-6970	275	80	0.113	0.113	NUM
ejpam-6970	275	81	22	22	NUM
ejpam-6970	275	82	1.39×	1.39×	NUM
ejpam-6970	275	83	10−09	10−09	PROPN
ejpam-6970	275	84	2.97×	2.97×	NUM
ejpam-6970	275	85	10−10	10−10	NUM
ejpam-6970	275	86	0.012	0.012	NUM
ejpam-6970	275	87	21	21	NUM
ejpam-6970	275	88	3.09×	3.09×	NUM
ejpam-6970	275	89	10−12	10−12	NOUN
ejpam-6970	275	90	6.75×	6.75×	NUM
ejpam-6970	275	91	10−13	10−13	PROPN
ejpam-6970	275	92	0.091	0.091	NUM
ejpam-6970	275	93	24	24	NUM
ejpam-6970	275	94	1.10×	1.10×	NUM
ejpam-6970	275	95	10−10	10−10	NUM
ejpam-6970	275	96	2.25×	2.25×	NUM
ejpam-6970	275	97	10−11	10−11	NUM
ejpam-6970	275	98	0.013	0.013	NUM
ejpam-6970	275	99	22	22	NUM
ejpam-6970	275	100	6.46×	6.46×	NUM
ejpam-6970	275	101	10−13	10−13	NUM
ejpam-6970	275	102	1.38×	1.38×	NUM
ejpam-6970	275	103	10−13	10−13	NUM
ejpam-6970	275	104	0.108	0.108	NUM
ejpam-6970	275	105	26	26	NUM
ejpam-6970	275	106	8.60×	8.60×	NUM
ejpam-6970	275	107	10−12	10−12	PROPN
ejpam-6970	275	108	1.69×	1.69×	NUM
ejpam-6970	275	109	10−12	10−12	NOUN
ejpam-6970	275	110	0.012	0.012	NUM
ejpam-6970	275	111	23	23	NUM
ejpam-6970	275	112	1.40×	1.40×	NUM
ejpam-6970	275	113	10−13	10−13	PROPN
ejpam-6970	275	114	2.93×	2.93×	NUM
ejpam-6970	275	115	10−14	10−14	NUM
ejpam-6970	275	116	0.105	0.105	NUM
ejpam-6970	275	117	28	28	NUM
ejpam-6970	275	118	6.66×	6.66×	NUM
ejpam-6970	275	119	10−13	10−13	NUM
ejpam-6970	275	120	1.26×	1.26×	NUM
ejpam-6970	275	121	10−13	10−13	NUM
ejpam-6970	275	122	0.016	0.016	NUM
ejpam-6970	275	123	24	24	NUM
ejpam-6970	275	124	2.66×	2.66×	NUM
ejpam-6970	275	125	10−13	10−13	PROPN
ejpam-6970	275	126	5.44×	5.44×	NUM
ejpam-6970	275	127	10−15	10−15	NOUN
ejpam-6970	275	128	0.102	0.102	NUM
ejpam-6970	275	129	30	30	NUM
ejpam-6970	275	130	4.81×	4.81×	NUM
ejpam-6970	275	131	10−14	10−14	NUM
ejpam-6970	275	132	8.78×	8.78×	NUM
ejpam-6970	275	133	10−15	10−15	NOUN
ejpam-6970	275	134	0.011	0.011	NUM
ejpam-6970	275	135	32	32	NUM
ejpam-6970	275	136	5.78×	5.78×	NUM
ejpam-6970	275	137	10−15	10−15	PROPN
ejpam-6970	275	138	1.02×	1.02×	NUM
ejpam-6970	275	139	10−15	10−15	PROPN
ejpam-6970	275	140	0.012	0.012	NUM
ejpam-6970	275	141	kamran	kamran	PROPN
ejpam-6970	275	142	et	et	PROPN
ejpam-6970	275	143	al	al	PROPN
ejpam-6970	275	144	.	.	PUNCT
ejpam-6970	275	145	/	/	SYM
ejpam-6970	275	146	eur	eur	PROPN
ejpam-6970	275	147	.	.	PUNCT
ejpam-6970	276	1	j.	j.	PROPN
ejpam-6970	276	2	pure	pure	PROPN
ejpam-6970	276	3	appl	appl	PROPN
ejpam-6970	276	4	.	.	PROPN
ejpam-6970	276	5	math	math	PROPN
ejpam-6970	276	6	,	,	PUNCT
ejpam-6970	276	7	18	18	NUM
ejpam-6970	276	8	(	(	PUNCT
ejpam-6970	276	9	4	4	NUM
ejpam-6970	276	10	)	)	PUNCT
ejpam-6970	276	11	(	(	PUNCT
ejpam-6970	276	12	2025	2025	NUM
ejpam-6970	276	13	)	)	PUNCT
ejpam-6970	276	14	,	,	PUNCT
ejpam-6970	276	15	6970	6970	NUM
ejpam-6970	276	16	12	12	NUM
ejpam-6970	276	17	of	of	ADP
ejpam-6970	276	18	22	22	NUM
ejpam-6970	276	19	0	0	NUM
ejpam-6970	276	20	0.2	0.2	NUM
ejpam-6970	276	21	0.4	0.4	NUM
ejpam-6970	276	22	0.6	0.6	NUM
ejpam-6970	276	23	0.8	0.8	NUM
ejpam-6970	276	24	1	1	NUM
ejpam-6970	276	25	0	0	NUM
ejpam-6970	276	26	0.1	0.1	NUM
ejpam-6970	276	27	0.2	0.2	NUM
ejpam-6970	276	28	0.3	0.3	NUM
ejpam-6970	276	29	0.4	0.4	NUM
ejpam-6970	276	30	0.5	0.5	NUM
ejpam-6970	276	31	0.6	0.6	NUM
ejpam-6970	276	32	0.7	0.7	NUM
ejpam-6970	276	33	0.8	0.8	NUM
ejpam-6970	276	34	0.9	0.9	NUM
ejpam-6970	276	35	1	1	NUM
ejpam-6970	276	36	(	(	PUNCT
ejpam-6970	276	37	a	a	X
ejpam-6970	276	38	)	)	PUNCT
ejpam-6970	276	39	0	0	NUM
ejpam-6970	277	1	0.2	0.2	NUM
ejpam-6970	277	2	0.4	0.4	NUM
ejpam-6970	277	3	0.6	0.6	NUM
ejpam-6970	277	4	0.8	0.8	NUM
ejpam-6970	277	5	1	1	NUM
ejpam-6970	277	6	10	10	NUM
ejpam-6970	277	7	-	-	SYM
ejpam-6970	277	8	17	17	NUM
ejpam-6970	277	9	10	10	NUM
ejpam-6970	277	10	-	-	SYM
ejpam-6970	277	11	16	16	NUM
ejpam-6970	277	12	10	10	NUM
ejpam-6970	277	13	-	-	SYM
ejpam-6970	277	14	15	15	NUM
ejpam-6970	277	15	10	10	NUM
ejpam-6970	277	16	-	-	SYM
ejpam-6970	277	17	14	14	NUM
ejpam-6970	277	18	10	10	NUM
ejpam-6970	277	19	-	-	SYM
ejpam-6970	277	20	13	13	NUM
ejpam-6970	277	21	(	(	PUNCT
ejpam-6970	277	22	b	b	NOUN
ejpam-6970	277	23	)	)	PUNCT
ejpam-6970	277	24	figure	figure	NOUN
ejpam-6970	277	25	1	1	NUM
ejpam-6970	277	26	:	:	PUNCT
ejpam-6970	277	27	(	(	PUNCT
ejpam-6970	277	28	a	a	X
ejpam-6970	277	29	)	)	PUNCT
ejpam-6970	277	30	numerical	numerical	ADJ
ejpam-6970	277	31	and	and	CCONJ
ejpam-6970	277	32	exact	exact	ADJ
ejpam-6970	277	33	solutions	solution	NOUN
ejpam-6970	277	34	for	for	ADP
ejpam-6970	277	35	problem	problem	NOUN
ejpam-6970	277	36	1	1	NUM
ejpam-6970	277	37	,	,	PUNCT
ejpam-6970	277	38	exhibiting	exhibit	VERB
ejpam-6970	277	39	close	close	ADJ
ejpam-6970	277	40	agreement	agreement	NOUN
ejpam-6970	277	41	.	.	PUNCT
ejpam-6970	278	1	(	(	PUNCT
ejpam-6970	278	2	b	b	X
ejpam-6970	278	3	)	)	PUNCT
ejpam-6970	278	4	error	error	NOUN
ejpam-6970	278	5	comparison	comparison	NOUN
ejpam-6970	278	6	for	for	ADP
ejpam-6970	278	7	problem	problem	NOUN
ejpam-6970	278	8	1	1	NUM
ejpam-6970	278	9	,	,	PUNCT
ejpam-6970	278	10	showing	show	VERB
ejpam-6970	278	11	the	the	DET
ejpam-6970	278	12	itm	itm	NOUN
ejpam-6970	278	13	outperforming	outperform	VERB
ejpam-6970	278	14	the	the	DET
ejpam-6970	278	15	improved	improved	ADJ
ejpam-6970	278	16	gm	gm	PROPN
ejpam-6970	278	17	.	.	PUNCT
ejpam-6970	279	1	10	10	NUM
ejpam-6970	279	2	12	12	NUM
ejpam-6970	279	3	14	14	NUM
ejpam-6970	279	4	16	16	NUM
ejpam-6970	279	5	18	18	NUM
ejpam-6970	279	6	20	20	NUM
ejpam-6970	279	7	22	22	NUM
ejpam-6970	279	8	24	24	NUM
ejpam-6970	279	9	10	10	NUM
ejpam-6970	279	10	-16	-16	NUM
ejpam-6970	279	11	10	10	NUM
ejpam-6970	279	12	-14	-14	SYM
ejpam-6970	279	13	10	10	NUM
ejpam-6970	279	14	-12	-12	NUM
ejpam-6970	279	15	10	10	NUM
ejpam-6970	279	16	-10	-10	SYM
ejpam-6970	279	17	10	10	NUM
ejpam-6970	279	18	-8	-8	NUM
ejpam-6970	279	19	10	10	NUM
ejpam-6970	279	20	-6	-6	NOUN
ejpam-6970	279	21	10	10	NUM
ejpam-6970	279	22	-4	-4	INTJ
ejpam-6970	279	23	(	(	PUNCT
ejpam-6970	279	24	a	a	NOUN
ejpam-6970	279	25	)	)	PUNCT
ejpam-6970	279	26	10	10	NUM
ejpam-6970	279	27	15	15	NUM
ejpam-6970	279	28	20	20	NUM
ejpam-6970	279	29	25	25	NUM
ejpam-6970	279	30	30	30	NUM
ejpam-6970	279	31	35	35	NUM
ejpam-6970	279	32	40	40	NUM
ejpam-6970	279	33	45	45	NUM
ejpam-6970	279	34	50	50	NUM
ejpam-6970	279	35	10	10	NUM
ejpam-6970	279	36	-16	-16	NUM
ejpam-6970	279	37	10	10	NUM
ejpam-6970	279	38	-14	-14	SYM
ejpam-6970	279	39	10	10	NUM
ejpam-6970	279	40	-12	-12	NUM
ejpam-6970	279	41	10	10	NUM
ejpam-6970	279	42	-10	-10	SYM
ejpam-6970	279	43	10	10	NUM
ejpam-6970	279	44	-8	-8	NUM
ejpam-6970	279	45	10	10	NUM
ejpam-6970	279	46	-6	-6	NOUN
ejpam-6970	279	47	10	10	NUM
ejpam-6970	279	48	-4	-4	SYM
ejpam-6970	279	49	10	10	NUM
ejpam-6970	279	50	-2	-2	NOUN
ejpam-6970	279	51	(	(	PUNCT
ejpam-6970	279	52	b	b	NOUN
ejpam-6970	279	53	)	)	PUNCT
ejpam-6970	279	54	figure	figure	NOUN
ejpam-6970	279	55	2	2	NUM
ejpam-6970	279	56	:	:	PUNCT
ejpam-6970	279	57	convergence	convergence	NOUN
ejpam-6970	279	58	analysis	analysis	NOUN
ejpam-6970	279	59	of	of	ADP
ejpam-6970	279	60	error	error	NOUN
ejpam-6970	279	61	norms	norm	NOUN
ejpam-6970	279	62	versus	versus	ADP
ejpam-6970	279	63	quadrature	quadrature	NOUN
ejpam-6970	279	64	nodes	node	NOUN
ejpam-6970	279	65	for	for	ADP
ejpam-6970	279	66	problem	problem	NOUN
ejpam-6970	279	67	1	1	NUM
ejpam-6970	279	68	:	:	PUNCT
ejpam-6970	279	69	(	(	PUNCT
ejpam-6970	279	70	a	a	X
ejpam-6970	279	71	)	)	PUNCT
ejpam-6970	279	72	gm	gm	PROPN
ejpam-6970	279	73	;	;	PUNCT
ejpam-6970	279	74	(	(	PUNCT
ejpam-6970	279	75	b	b	X
ejpam-6970	279	76	)	)	PUNCT
ejpam-6970	279	77	itm	itm	NOUN
ejpam-6970	279	78	.	.	PUNCT
ejpam-6970	280	1	kamran	kamran	PROPN
ejpam-6970	280	2	et	et	PROPN
ejpam-6970	280	3	al	al	PROPN
ejpam-6970	280	4	.	.	PUNCT
ejpam-6970	280	5	/	/	SYM
ejpam-6970	280	6	eur	eur	PROPN
ejpam-6970	280	7	.	.	PUNCT
ejpam-6970	281	1	j.	j.	PROPN
ejpam-6970	281	2	pure	pure	PROPN
ejpam-6970	281	3	appl	appl	PROPN
ejpam-6970	281	4	.	.	PROPN
ejpam-6970	281	5	math	math	PROPN
ejpam-6970	281	6	,	,	PUNCT
ejpam-6970	281	7	18	18	NUM
ejpam-6970	281	8	(	(	PUNCT
ejpam-6970	281	9	4	4	NUM
ejpam-6970	281	10	)	)	PUNCT
ejpam-6970	281	11	(	(	PUNCT
ejpam-6970	281	12	2025	2025	NUM
ejpam-6970	281	13	)	)	PUNCT
ejpam-6970	281	14	,	,	PUNCT
ejpam-6970	281	15	6970	6970	NUM
ejpam-6970	281	16	13	13	NUM
ejpam-6970	281	17	of	of	ADP
ejpam-6970	281	18	22	22	NUM
ejpam-6970	281	19	(	(	PUNCT
ejpam-6970	281	20	a	a	NOUN
ejpam-6970	281	21	)	)	PUNCT
ejpam-6970	281	22	(	(	PUNCT
ejpam-6970	281	23	b	b	X
ejpam-6970	281	24	)	)	PUNCT
ejpam-6970	281	25	figure	figure	NOUN
ejpam-6970	281	26	3	3	NUM
ejpam-6970	281	27	:	:	PUNCT
ejpam-6970	281	28	comparison	comparison	NOUN
ejpam-6970	281	29	of	of	ADP
ejpam-6970	281	30	error	error	NOUN
ejpam-6970	281	31	norms	norm	NOUN
ejpam-6970	281	32	for	for	ADP
ejpam-6970	281	33	problem	problem	NOUN
ejpam-6970	281	34	1	1	NUM
ejpam-6970	281	35	computed	compute	VERB
ejpam-6970	281	36	via	via	ADP
ejpam-6970	281	37	the	the	DET
ejpam-6970	281	38	gm	gm	PROPN
ejpam-6970	281	39	across	across	ADP
ejpam-6970	281	40	the	the	DET
ejpam-6970	281	41	βτ	βτ	PROPN
ejpam-6970	281	42	plane	plane	NOUN
ejpam-6970	281	43	:	:	PUNCT
ejpam-6970	281	44	(	(	PUNCT
ejpam-6970	281	45	a	a	X
ejpam-6970	281	46	)	)	PUNCT
ejpam-6970	281	47	lin	lin	PROPN
ejpam-6970	281	48	error	error	NOUN
ejpam-6970	281	49	norm	norm	NOUN
ejpam-6970	281	50	;	;	PUNCT
ejpam-6970	281	51	(	(	PUNCT
ejpam-6970	281	52	b	b	X
ejpam-6970	281	53	)	)	PUNCT
ejpam-6970	281	54	lrms	lrm	NOUN
ejpam-6970	281	55	error	error	NOUN
ejpam-6970	281	56	norm	norm	NOUN
ejpam-6970	281	57	.	.	PUNCT
ejpam-6970	282	1	0.1	0.1	NUM
ejpam-6970	282	2	0.2	0.2	NUM
ejpam-6970	282	3	0.3	0.3	NUM
ejpam-6970	282	4	0.4	0.4	NUM
ejpam-6970	282	5	0.5	0.5	NUM
ejpam-6970	282	6	0.6	0.6	NUM
ejpam-6970	282	7	0.7	0.7	NUM
ejpam-6970	282	8	0.8	0.8	NUM
ejpam-6970	282	9	0.9	0.9	NUM
ejpam-6970	282	10	1	1	NUM
ejpam-6970	282	11	0.1	0.1	NUM
ejpam-6970	282	12	0.2	0.2	NUM
ejpam-6970	282	13	0.3	0.3	NUM
ejpam-6970	282	14	0.4	0.4	NUM
ejpam-6970	282	15	0.5	0.5	NUM
ejpam-6970	282	16	0.6	0.6	NUM
ejpam-6970	282	17	0.7	0.7	NUM
ejpam-6970	282	18	0.8	0.8	NUM
ejpam-6970	282	19	0.9	0.9	NUM
ejpam-6970	282	20	2	2	NUM
ejpam-6970	282	21	4	4	NUM
ejpam-6970	282	22	6	6	NUM
ejpam-6970	282	23	8	8	NUM
ejpam-6970	282	24	10	10	NUM
ejpam-6970	282	25	12	12	NUM
ejpam-6970	282	26	14	14	NUM
ejpam-6970	282	27	16	16	NUM
ejpam-6970	282	28	18	18	NUM
ejpam-6970	282	29	10	10	NUM
ejpam-6970	282	30	-	-	SYM
ejpam-6970	282	31	15	15	NUM
ejpam-6970	282	32	(	(	PUNCT
ejpam-6970	282	33	a	a	NOUN
ejpam-6970	282	34	)	)	PUNCT
ejpam-6970	282	35	0.1	0.1	NUM
ejpam-6970	282	36	0.2	0.2	NUM
ejpam-6970	282	37	0.3	0.3	NUM
ejpam-6970	282	38	0.4	0.4	NUM
ejpam-6970	282	39	0.5	0.5	NUM
ejpam-6970	282	40	0.6	0.6	NUM
ejpam-6970	282	41	0.7	0.7	NUM
ejpam-6970	282	42	0.8	0.8	NUM
ejpam-6970	282	43	0.9	0.9	NUM
ejpam-6970	282	44	1	1	NUM
ejpam-6970	282	45	0.1	0.1	NUM
ejpam-6970	282	46	0.2	0.2	NUM
ejpam-6970	282	47	0.3	0.3	NUM
ejpam-6970	282	48	0.4	0.4	NUM
ejpam-6970	282	49	0.5	0.5	NUM
ejpam-6970	282	50	0.6	0.6	NUM
ejpam-6970	282	51	0.7	0.7	NUM
ejpam-6970	282	52	0.8	0.8	NUM
ejpam-6970	282	53	0.9	0.9	NUM
ejpam-6970	282	54	0.5	0.5	NUM
ejpam-6970	282	55	1	1	NUM
ejpam-6970	282	56	1.5	1.5	NUM
ejpam-6970	282	57	2	2	NUM
ejpam-6970	282	58	2.5	2.5	NUM
ejpam-6970	282	59	3	3	NUM
ejpam-6970	282	60	10	10	NUM
ejpam-6970	282	61	-	-	SYM
ejpam-6970	282	62	15	15	NUM
ejpam-6970	282	63	(	(	PUNCT
ejpam-6970	282	64	b	b	NOUN
ejpam-6970	282	65	)	)	PUNCT
ejpam-6970	282	66	figure	figure	NOUN
ejpam-6970	282	67	4	4	NUM
ejpam-6970	282	68	:	:	PUNCT
ejpam-6970	282	69	contour	contour	NOUN
ejpam-6970	282	70	plots	plot	NOUN
ejpam-6970	282	71	of	of	ADP
ejpam-6970	282	72	numerical	numerical	ADJ
ejpam-6970	282	73	errors	error	NOUN
ejpam-6970	282	74	for	for	ADP
ejpam-6970	282	75	problem	problem	NOUN
ejpam-6970	282	76	1	1	NUM
ejpam-6970	282	77	using	use	VERB
ejpam-6970	282	78	the	the	DET
ejpam-6970	282	79	itm	itm	NOUN
ejpam-6970	282	80	in	in	ADP
ejpam-6970	282	81	the	the	DET
ejpam-6970	282	82	βτ	βτ	PROPN
ejpam-6970	282	83	plane	plane	NOUN
ejpam-6970	282	84	:	:	PUNCT
ejpam-6970	282	85	(	(	PUNCT
ejpam-6970	282	86	a	a	X
ejpam-6970	282	87	)	)	PUNCT
ejpam-6970	282	88	lin	lin	PROPN
ejpam-6970	282	89	error	error	NOUN
ejpam-6970	282	90	norm	norm	NOUN
ejpam-6970	282	91	;	;	PUNCT
ejpam-6970	282	92	(	(	PUNCT
ejpam-6970	282	93	b	b	X
ejpam-6970	282	94	)	)	PUNCT
ejpam-6970	282	95	lrms	lrm	NOUN
ejpam-6970	282	96	error	error	NOUN
ejpam-6970	282	97	norm	norm	NOUN
ejpam-6970	282	98	.	.	PUNCT
ejpam-6970	283	1	problem	problem	NOUN
ejpam-6970	283	2	2	2	NUM
ejpam-6970	283	3	consider	consider	VERB
ejpam-6970	283	4	the	the	DET
ejpam-6970	283	5	fovide	fovide	NOUN
ejpam-6970	283	6	1	1	NUM
ejpam-6970	283	7	with	with	ADP
ejpam-6970	283	8	the	the	DET
ejpam-6970	283	9	exact	exact	ADJ
ejpam-6970	283	10	solution	solution	NOUN
ejpam-6970	283	11	y(τ	y(τ	PROPN
ejpam-6970	283	12	)	)	PUNCT
ejpam-6970	284	1	=	=	NUM
ejpam-6970	284	2	eτ	eτ	PROPN
ejpam-6970	284	3	.	.	PUNCT
ejpam-6970	285	1	kamran	kamran	PROPN
ejpam-6970	285	2	et	et	PROPN
ejpam-6970	285	3	al	al	PROPN
ejpam-6970	285	4	.	.	PUNCT
ejpam-6970	285	5	/	/	SYM
ejpam-6970	285	6	eur	eur	PROPN
ejpam-6970	285	7	.	.	PUNCT
ejpam-6970	286	1	j.	j.	PROPN
ejpam-6970	286	2	pure	pure	PROPN
ejpam-6970	286	3	appl	appl	PROPN
ejpam-6970	286	4	.	.	PROPN
ejpam-6970	286	5	math	math	PROPN
ejpam-6970	286	6	,	,	PUNCT
ejpam-6970	286	7	18	18	NUM
ejpam-6970	286	8	(	(	PUNCT
ejpam-6970	286	9	4	4	NUM
ejpam-6970	286	10	)	)	PUNCT
ejpam-6970	286	11	(	(	PUNCT
ejpam-6970	286	12	2025	2025	NUM
ejpam-6970	286	13	)	)	PUNCT
ejpam-6970	286	14	,	,	PUNCT
ejpam-6970	286	15	6970	6970	NUM
ejpam-6970	286	16	14	14	NUM
ejpam-6970	286	17	of	of	ADP
ejpam-6970	286	18	22	22	NUM
ejpam-6970	286	19	table	table	NOUN
ejpam-6970	286	20	2	2	NUM
ejpam-6970	286	21	:	:	PUNCT
ejpam-6970	286	22	comparison	comparison	NOUN
ejpam-6970	286	23	of	of	ADP
ejpam-6970	286	24	the	the	DET
ejpam-6970	286	25	improved	improved	ADJ
ejpam-6970	286	26	gm	gm	PROPN
ejpam-6970	286	27	and	and	CCONJ
ejpam-6970	286	28	itm	itm	PROPN
ejpam-6970	286	29	methods	method	NOUN
ejpam-6970	286	30	for	for	ADP
ejpam-6970	286	31	problem	problem	NOUN
ejpam-6970	286	32	2	2	NUM
ejpam-6970	286	33	,	,	PUNCT
ejpam-6970	286	34	showing	show	VERB
ejpam-6970	286	35	lin	lin	PROPN
ejpam-6970	286	36	and	and	CCONJ
ejpam-6970	286	37	lrms	lrms	PROPN
ejpam-6970	286	38	.	.	PUNCT
ejpam-6970	287	1	gm	gm	PROPN
ejpam-6970	287	2	itm	itm	PROPN
ejpam-6970	287	3	ng	ng	PROPN
ejpam-6970	287	4	lin	lin	PROPN
ejpam-6970	287	5	lrms	lrms	PROPN
ejpam-6970	287	6	cpu	cpu	VERB
ejpam-6970	287	7	(	(	PUNCT
ejpam-6970	287	8	s	s	X
ejpam-6970	287	9	)	)	PUNCT
ejpam-6970	287	10	nt	not	PART
ejpam-6970	287	11	lin	lin	PROPN
ejpam-6970	287	12	lrms	lrms	PROPN
ejpam-6970	287	13	cpu(s	cpu(s	PROPN
ejpam-6970	287	14	)	)	PUNCT
ejpam-6970	287	15	15	15	NUM
ejpam-6970	287	16	4.5095×10−06	4.5095×10−06	NUM
ejpam-6970	287	17	1.1643×10−06	1.1643×10−06	NUM
ejpam-6970	288	1	0.106230	0.106230	NUM
ejpam-6970	288	2	20	20	NUM
ejpam-6970	288	3	1.5882×10−05	1.5882×10−05	NUM
ejpam-6970	288	4	3.5512×10−06	3.5512×10−06	NUM
ejpam-6970	288	5	0.011312	0.011312	NUM
ejpam-6970	288	6	16	16	NUM
ejpam-6970	288	7	1.3332×10−06	1.3332×10−06	NUM
ejpam-6970	288	8	3.3330×10−07	3.3330×10−07	NUM
ejpam-6970	288	9	0.163458	0.163458	NUM
ejpam-6970	288	10	22	22	NUM
ejpam-6970	288	11	2.2628×10−06	2.2628×10−06	NUM
ejpam-6970	288	12	4.8242×10−07	4.8242×10−07	NUM
ejpam-6970	288	13	0.011950	0.011950	NUM
ejpam-6970	288	14	17	17	NUM
ejpam-6970	288	15	4.0362×10−07	4.0362×10−07	NUM
ejpam-6970	288	16	9.7893×10−08	9.7893×10−08	NUM
ejpam-6970	288	17	0.114148	0.114148	NUM
ejpam-6970	288	18	24	24	NUM
ejpam-6970	288	19	3.1176×10−07	3.1176×10−07	NUM
ejpam-6970	288	20	6.3638×10−08	6.3638×10−08	NUM
ejpam-6970	288	21	0.013142	0.013142	NUM
ejpam-6970	288	22	18	18	NUM
ejpam-6970	288	23	1.1701×10−07	1.1701×10−07	NUM
ejpam-6970	288	24	2.7580×10−08	2.7580×10−08	NUM
ejpam-6970	288	25	0.084061	0.084061	NUM
ejpam-6970	288	26	26	26	NUM
ejpam-6970	288	27	4.1707×10−08	4.1707×10−08	NUM
ejpam-6970	288	28	8.1794×10−09	8.1794×10−09	NUM
ejpam-6970	288	29	0.022175	0.022175	NUM
ejpam-6970	288	30	19	19	NUM
ejpam-6970	288	31	3.4658×10−08	3.4658×10−08	NUM
ejpam-6970	288	32	7.9510×10−09	7.9510×10−09	NUM
ejpam-6970	288	33	0.126576	0.126576	NUM
ejpam-6970	288	34	28	28	NUM
ejpam-6970	288	35	5.4354×10−09	5.4354×10−09	NUM
ejpam-6970	288	36	1.0272×10−09	1.0272×10−09	NUM
ejpam-6970	288	37	0.015180	0.015180	NUM
ejpam-6970	288	38	20	20	NUM
ejpam-6970	288	39	9.8581×10−09	9.8581×10−09	NUM
ejpam-6970	288	40	2.2043×10−09	2.2043×10−09	NUM
ejpam-6970	288	41	0.087279	0.087279	NUM
ejpam-6970	288	42	30	30	NUM
ejpam-6970	288	43	6.9187×10−10	6.9187×10−10	NUM
ejpam-6970	288	44	1.2632×10−10	1.2632×10−10	NUM
ejpam-6970	288	45	0.013981	0.013981	NUM
ejpam-6970	288	46	21	21	NUM
ejpam-6970	288	47	2.8228×10−09	2.8228×10−09	NUM
ejpam-6970	288	48	6.1598×10−10	6.1598×10−10	NUM
ejpam-6970	288	49	0.168586	0.168586	NUM
ejpam-6970	288	50	32	32	NUM
ejpam-6970	288	51	8.6329×10−11	8.6329×10−11	NUM
ejpam-6970	288	52	1.5261×10−11	1.5261×10−11	NUM
ejpam-6970	288	53	0.013615	0.013615	NUM
ejpam-6970	288	54	22	22	NUM
ejpam-6970	288	55	7.7622×10−10	7.7622×10−10	NUM
ejpam-6970	288	56	1.6549×10−10	1.6549×10−10	NUM
ejpam-6970	288	57	0.093258	0.093258	NUM
ejpam-6970	288	58	34	34	NUM
ejpam-6970	288	59	1.0887×10−11	1.0887×10−11	NUM
ejpam-6970	288	60	1.8671×10−12	1.8671×10−12	NUM
ejpam-6970	288	61	0.015629	0.015629	NUM
ejpam-6970	288	62	23	23	NUM
ejpam-6970	288	63	2.1792×10−10	2.1792×10−10	NUM
ejpam-6970	288	64	4.5439×10−11	4.5439×10−11	NUM
ejpam-6970	288	65	0.125601	0.125601	NUM
ejpam-6970	288	66	36	36	NUM
ejpam-6970	288	67	9.1706×10−13	9.1706×10−13	NUM
ejpam-6970	288	68	1.5284×10−13	1.5284×10−13	NUM
ejpam-6970	288	69	0.021020	0.021020	NUM
ejpam-6970	288	70	24	24	NUM
ejpam-6970	288	71	5.8898×10−11	5.8898×10−11	NUM
ejpam-6970	288	72	1.2022×10−11	1.2022×10−11	NUM
ejpam-6970	288	73	0.124419	0.124419	NUM
ejpam-6970	288	74	38	38	NUM
ejpam-6970	288	75	3.5357×10−13	3.5357×10−13	NUM
ejpam-6970	288	76	5.7357×10−14	5.7357×10−14	NUM
ejpam-6970	288	77	0.016675	0.016675	NUM
ejpam-6970	288	78	40	40	NUM
ejpam-6970	288	79	8.1681×10−14	8.1681×10−14	NUM
ejpam-6970	288	80	1.2915×10−14	1.2915×10−14	NUM
ejpam-6970	288	81	0.013102	0.013102	NUM
ejpam-6970	288	82	0.2	0.2	NUM
ejpam-6970	288	83	0.4	0.4	NUM
ejpam-6970	288	84	0.6	0.6	NUM
ejpam-6970	288	85	0.8	0.8	NUM
ejpam-6970	288	86	1	1	NUM
ejpam-6970	288	87	1.2	1.2	NUM
ejpam-6970	288	88	1.4	1.4	NUM
ejpam-6970	288	89	1.6	1.6	NUM
ejpam-6970	288	90	1.8	1.8	NUM
ejpam-6970	288	91	2	2	NUM
ejpam-6970	288	92	2.2	2.2	NUM
ejpam-6970	288	93	2.4	2.4	NUM
ejpam-6970	288	94	2.6	2.6	NUM
ejpam-6970	288	95	exact	exact	ADJ
ejpam-6970	288	96	approx	approx	NOUN
ejpam-6970	288	97	(	(	PUNCT
ejpam-6970	288	98	a	a	PROPN
ejpam-6970	288	99	)	)	PUNCT
ejpam-6970	288	100	0	0	NUM
ejpam-6970	289	1	0.2	0.2	NUM
ejpam-6970	289	2	0.4	0.4	NUM
ejpam-6970	289	3	0.6	0.6	NUM
ejpam-6970	289	4	0.8	0.8	NUM
ejpam-6970	289	5	1	1	NUM
ejpam-6970	289	6	10	10	NUM
ejpam-6970	289	7	-	-	SYM
ejpam-6970	289	8	17	17	NUM
ejpam-6970	289	9	10	10	NUM
ejpam-6970	289	10	-	-	SYM
ejpam-6970	289	11	16	16	NUM
ejpam-6970	289	12	10	10	NUM
ejpam-6970	289	13	-	-	SYM
ejpam-6970	289	14	15	15	NUM
ejpam-6970	289	15	10	10	NUM
ejpam-6970	289	16	-	-	SYM
ejpam-6970	289	17	14	14	NUM
ejpam-6970	289	18	10	10	NUM
ejpam-6970	289	19	-	-	SYM
ejpam-6970	289	20	13	13	NUM
ejpam-6970	289	21	10	10	NUM
ejpam-6970	289	22	-	-	SYM
ejpam-6970	289	23	12	12	NUM
ejpam-6970	289	24	10	10	NUM
ejpam-6970	289	25	-	-	SYM
ejpam-6970	289	26	11	11	NUM
ejpam-6970	289	27	10	10	NUM
ejpam-6970	289	28	-	-	SYM
ejpam-6970	289	29	10	10	NUM
ejpam-6970	289	30	(	(	PUNCT
ejpam-6970	289	31	b	b	NOUN
ejpam-6970	289	32	)	)	PUNCT
ejpam-6970	289	33	figure	figure	NOUN
ejpam-6970	289	34	5	5	NUM
ejpam-6970	289	35	:	:	PUNCT
ejpam-6970	289	36	(	(	PUNCT
ejpam-6970	289	37	a	a	X
ejpam-6970	289	38	)	)	PUNCT
ejpam-6970	289	39	numerical	numerical	ADJ
ejpam-6970	289	40	and	and	CCONJ
ejpam-6970	289	41	exact	exact	ADJ
ejpam-6970	289	42	solutions	solution	NOUN
ejpam-6970	289	43	for	for	ADP
ejpam-6970	289	44	problem	problem	NOUN
ejpam-6970	289	45	2	2	NUM
ejpam-6970	289	46	.	.	PUNCT
ejpam-6970	290	1	the	the	DET
ejpam-6970	290	2	visual	visual	ADJ
ejpam-6970	290	3	indistinguishability	indistinguishability	NOUN
ejpam-6970	290	4	of	of	ADP
ejpam-6970	290	5	the	the	DET
ejpam-6970	290	6	curves	curve	NOUN
ejpam-6970	290	7	demonstrates	demonstrate	VERB
ejpam-6970	290	8	the	the	DET
ejpam-6970	290	9	high	high	ADJ
ejpam-6970	290	10	accuracy	accuracy	NOUN
ejpam-6970	290	11	of	of	ADP
ejpam-6970	290	12	the	the	DET
ejpam-6970	290	13	numerical	numerical	ADJ
ejpam-6970	290	14	method	method	NOUN
ejpam-6970	290	15	.	.	PUNCT
ejpam-6970	291	1	(	(	PUNCT
ejpam-6970	291	2	b	b	X
ejpam-6970	291	3	)	)	PUNCT
ejpam-6970	291	4	comparison	comparison	NOUN
ejpam-6970	291	5	of	of	ADP
ejpam-6970	291	6	lin	lin	PROPN
ejpam-6970	291	7	and	and	CCONJ
ejpam-6970	291	8	lrms	lrm	NOUN
ejpam-6970	291	9	errors	error	NOUN
ejpam-6970	291	10	for	for	ADP
ejpam-6970	291	11	the	the	DET
ejpam-6970	291	12	itm	itm	NOUN
ejpam-6970	291	13	and	and	CCONJ
ejpam-6970	291	14	gm	gm	PROPN
ejpam-6970	291	15	,	,	PUNCT
ejpam-6970	291	16	demonstrating	demonstrate	VERB
ejpam-6970	291	17	the	the	DET
ejpam-6970	291	18	superior	superior	ADJ
ejpam-6970	291	19	performance	performance	NOUN
ejpam-6970	291	20	of	of	ADP
ejpam-6970	291	21	the	the	DET
ejpam-6970	291	22	itm	itm	NOUN
ejpam-6970	291	23	.	.	PUNCT
ejpam-6970	292	1	kamran	kamran	PROPN
ejpam-6970	292	2	et	et	PROPN
ejpam-6970	292	3	al	al	PROPN
ejpam-6970	292	4	.	.	PUNCT
ejpam-6970	292	5	/	/	SYM
ejpam-6970	292	6	eur	eur	PROPN
ejpam-6970	292	7	.	.	PUNCT
ejpam-6970	293	1	j.	j.	PROPN
ejpam-6970	293	2	pure	pure	PROPN
ejpam-6970	293	3	appl	appl	PROPN
ejpam-6970	293	4	.	.	PROPN
ejpam-6970	293	5	math	math	PROPN
ejpam-6970	293	6	,	,	PUNCT
ejpam-6970	293	7	18	18	NUM
ejpam-6970	293	8	(	(	PUNCT
ejpam-6970	293	9	4	4	NUM
ejpam-6970	293	10	)	)	PUNCT
ejpam-6970	293	11	(	(	PUNCT
ejpam-6970	293	12	2025	2025	NUM
ejpam-6970	293	13	)	)	PUNCT
ejpam-6970	293	14	,	,	PUNCT
ejpam-6970	293	15	6970	6970	NUM
ejpam-6970	293	16	15	15	NUM
ejpam-6970	293	17	of	of	ADP
ejpam-6970	293	18	22	22	NUM
ejpam-6970	293	19	10	10	NUM
ejpam-6970	293	20	12	12	NUM
ejpam-6970	293	21	14	14	NUM
ejpam-6970	293	22	16	16	NUM
ejpam-6970	293	23	18	18	NUM
ejpam-6970	293	24	20	20	NUM
ejpam-6970	293	25	22	22	NUM
ejpam-6970	293	26	24	24	NUM
ejpam-6970	293	27	10	10	NUM
ejpam-6970	293	28	-16	-16	NUM
ejpam-6970	293	29	10	10	NUM
ejpam-6970	293	30	-14	-14	SYM
ejpam-6970	293	31	10	10	NUM
ejpam-6970	293	32	-12	-12	NUM
ejpam-6970	293	33	10	10	NUM
ejpam-6970	293	34	-10	-10	SYM
ejpam-6970	293	35	10	10	NUM
ejpam-6970	293	36	-8	-8	NUM
ejpam-6970	293	37	10	10	NUM
ejpam-6970	293	38	-6	-6	NOUN
ejpam-6970	293	39	10	10	NUM
ejpam-6970	293	40	-4	-4	INTJ
ejpam-6970	293	41	(	(	PUNCT
ejpam-6970	293	42	a	a	NOUN
ejpam-6970	293	43	)	)	PUNCT
ejpam-6970	293	44	10	10	NUM
ejpam-6970	293	45	15	15	NUM
ejpam-6970	293	46	20	20	NUM
ejpam-6970	293	47	25	25	NUM
ejpam-6970	293	48	30	30	NUM
ejpam-6970	293	49	35	35	NUM
ejpam-6970	293	50	40	40	NUM
ejpam-6970	293	51	45	45	NUM
ejpam-6970	293	52	50	50	NUM
ejpam-6970	293	53	10	10	NUM
ejpam-6970	293	54	-14	-14	NUM
ejpam-6970	293	55	10	10	NUM
ejpam-6970	293	56	-12	-12	NUM
ejpam-6970	293	57	10	10	NUM
ejpam-6970	293	58	-10	-10	SYM
ejpam-6970	293	59	10	10	NUM
ejpam-6970	293	60	-8	-8	NUM
ejpam-6970	293	61	10	10	NUM
ejpam-6970	294	1	-6	-6	NOUN
ejpam-6970	294	2	10	10	NUM
ejpam-6970	294	3	-4	-4	SYM
ejpam-6970	294	4	10	10	NUM
ejpam-6970	295	1	-2	-2	NOUN
ejpam-6970	295	2	10	10	NUM
ejpam-6970	295	3	0	0	NUM
ejpam-6970	295	4	(	(	PUNCT
ejpam-6970	295	5	b	b	NOUN
ejpam-6970	295	6	)	)	PUNCT
ejpam-6970	295	7	figure	figure	NOUN
ejpam-6970	295	8	6	6	NUM
ejpam-6970	295	9	:	:	PUNCT
ejpam-6970	296	1	convergence	convergence	NOUN
ejpam-6970	296	2	analysis	analysis	NOUN
ejpam-6970	296	3	of	of	ADP
ejpam-6970	296	4	error	error	NOUN
ejpam-6970	296	5	norms	norm	NOUN
ejpam-6970	296	6	versus	versus	ADP
ejpam-6970	296	7	quadrature	quadrature	NOUN
ejpam-6970	296	8	nodes	node	NOUN
ejpam-6970	296	9	for	for	ADP
ejpam-6970	296	10	problem	problem	NOUN
ejpam-6970	296	11	2	2	NUM
ejpam-6970	296	12	:	:	PUNCT
ejpam-6970	296	13	(	(	PUNCT
ejpam-6970	296	14	a	a	X
ejpam-6970	296	15	)	)	PUNCT
ejpam-6970	296	16	gm	gm	PROPN
ejpam-6970	296	17	;	;	PUNCT
ejpam-6970	296	18	(	(	PUNCT
ejpam-6970	296	19	b	b	X
ejpam-6970	296	20	)	)	PUNCT
ejpam-6970	296	21	itm	itm	NOUN
ejpam-6970	296	22	.	.	PUNCT
ejpam-6970	297	1	(	(	PUNCT
ejpam-6970	297	2	a	a	X
ejpam-6970	297	3	)	)	PUNCT
ejpam-6970	297	4	(	(	PUNCT
ejpam-6970	297	5	b	b	X
ejpam-6970	297	6	)	)	PUNCT
ejpam-6970	297	7	figure	figure	NOUN
ejpam-6970	297	8	7	7	NUM
ejpam-6970	297	9	:	:	PUNCT
ejpam-6970	297	10	surface	surface	NOUN
ejpam-6970	297	11	plots	plot	NOUN
ejpam-6970	297	12	of	of	ADP
ejpam-6970	297	13	error	error	NOUN
ejpam-6970	297	14	norms	norm	NOUN
ejpam-6970	297	15	for	for	ADP
ejpam-6970	297	16	problem	problem	NOUN
ejpam-6970	297	17	2	2	NUM
ejpam-6970	297	18	using	use	VERB
ejpam-6970	297	19	the	the	DET
ejpam-6970	297	20	gm	gm	PROPN
ejpam-6970	297	21	method	method	NOUN
ejpam-6970	297	22	in	in	ADP
ejpam-6970	297	23	the	the	DET
ejpam-6970	297	24	βτ	βτ	PROPN
ejpam-6970	297	25	plane	plane	NOUN
ejpam-6970	297	26	:	:	PUNCT
ejpam-6970	297	27	(	(	PUNCT
ejpam-6970	297	28	a	a	X
ejpam-6970	297	29	)	)	PUNCT
ejpam-6970	297	30	lin	lin	PROPN
ejpam-6970	297	31	error	error	NOUN
ejpam-6970	297	32	norm	norm	NOUN
ejpam-6970	297	33	;	;	PUNCT
ejpam-6970	297	34	(	(	PUNCT
ejpam-6970	297	35	b	b	X
ejpam-6970	297	36	)	)	PUNCT
ejpam-6970	297	37	lrms	lrm	NOUN
ejpam-6970	297	38	error	error	NOUN
ejpam-6970	297	39	norm	norm	NOUN
ejpam-6970	297	40	.	.	PUNCT
ejpam-6970	298	1	kamran	kamran	PROPN
ejpam-6970	298	2	et	et	PROPN
ejpam-6970	298	3	al	al	PROPN
ejpam-6970	298	4	.	.	PUNCT
ejpam-6970	298	5	/	/	SYM
ejpam-6970	298	6	eur	eur	PROPN
ejpam-6970	298	7	.	.	PUNCT
ejpam-6970	299	1	j.	j.	PROPN
ejpam-6970	299	2	pure	pure	PROPN
ejpam-6970	299	3	appl	appl	PROPN
ejpam-6970	299	4	.	.	PROPN
ejpam-6970	299	5	math	math	PROPN
ejpam-6970	299	6	,	,	PUNCT
ejpam-6970	299	7	18	18	NUM
ejpam-6970	299	8	(	(	PUNCT
ejpam-6970	299	9	4	4	NUM
ejpam-6970	299	10	)	)	PUNCT
ejpam-6970	299	11	(	(	PUNCT
ejpam-6970	299	12	2025	2025	NUM
ejpam-6970	299	13	)	)	PUNCT
ejpam-6970	299	14	,	,	PUNCT
ejpam-6970	299	15	6970	6970	NUM
ejpam-6970	299	16	16	16	NUM
ejpam-6970	299	17	of	of	ADP
ejpam-6970	299	18	22	22	NUM
ejpam-6970	299	19	0.1	0.1	NUM
ejpam-6970	299	20	0.2	0.2	NUM
ejpam-6970	299	21	0.3	0.3	NUM
ejpam-6970	299	22	0.4	0.4	NUM
ejpam-6970	299	23	0.5	0.5	NUM
ejpam-6970	299	24	0.6	0.6	NUM
ejpam-6970	299	25	0.7	0.7	NUM
ejpam-6970	300	1	0.8	0.8	NUM
ejpam-6970	300	2	0.9	0.9	NUM
ejpam-6970	300	3	1	1	NUM
ejpam-6970	300	4	0.1	0.1	NUM
ejpam-6970	300	5	0.2	0.2	NUM
ejpam-6970	300	6	0.3	0.3	NUM
ejpam-6970	300	7	0.4	0.4	NUM
ejpam-6970	300	8	0.5	0.5	NUM
ejpam-6970	300	9	0.6	0.6	NUM
ejpam-6970	300	10	0.7	0.7	NUM
ejpam-6970	300	11	0.8	0.8	NUM
ejpam-6970	300	12	0.9	0.9	NUM
ejpam-6970	300	13	2.6	2.6	NUM
ejpam-6970	300	14	2.7	2.7	NUM
ejpam-6970	300	15	2.8	2.8	NUM
ejpam-6970	300	16	2.9	2.9	NUM
ejpam-6970	300	17	3	3	NUM
ejpam-6970	300	18	3.1	3.1	NUM
ejpam-6970	300	19	3.2	3.2	NUM
ejpam-6970	300	20	3.3	3.3	NUM
ejpam-6970	300	21	3.4	3.4	NUM
ejpam-6970	300	22	3.5	3.5	NUM
ejpam-6970	300	23	10	10	NUM
ejpam-6970	300	24	-	-	SYM
ejpam-6970	300	25	13	13	NUM
ejpam-6970	300	26	(	(	PUNCT
ejpam-6970	300	27	a	a	NOUN
ejpam-6970	300	28	)	)	PUNCT
ejpam-6970	300	29	0.1	0.1	NUM
ejpam-6970	300	30	0.2	0.2	NUM
ejpam-6970	300	31	0.3	0.3	NUM
ejpam-6970	300	32	0.4	0.4	NUM
ejpam-6970	300	33	0.5	0.5	NUM
ejpam-6970	300	34	0.6	0.6	NUM
ejpam-6970	300	35	0.7	0.7	NUM
ejpam-6970	300	36	0.8	0.8	NUM
ejpam-6970	300	37	0.9	0.9	NUM
ejpam-6970	300	38	1	1	NUM
ejpam-6970	300	39	0.1	0.1	NUM
ejpam-6970	300	40	0.2	0.2	NUM
ejpam-6970	300	41	0.3	0.3	NUM
ejpam-6970	300	42	0.4	0.4	NUM
ejpam-6970	300	43	0.5	0.5	NUM
ejpam-6970	300	44	0.6	0.6	NUM
ejpam-6970	300	45	0.7	0.7	NUM
ejpam-6970	300	46	0.8	0.8	NUM
ejpam-6970	300	47	0.9	0.9	NUM
ejpam-6970	300	48	4.2	4.2	NUM
ejpam-6970	300	49	4.4	4.4	NUM
ejpam-6970	300	50	4.6	4.6	NUM
ejpam-6970	300	51	4.8	4.8	NUM
ejpam-6970	300	52	5	5	NUM
ejpam-6970	300	53	5.2	5.2	NUM
ejpam-6970	300	54	5.4	5.4	NUM
ejpam-6970	300	55	5.6	5.6	NUM
ejpam-6970	300	56	10	10	NUM
ejpam-6970	300	57	-	-	SYM
ejpam-6970	300	58	14	14	NUM
ejpam-6970	300	59	(	(	PUNCT
ejpam-6970	300	60	b	b	NOUN
ejpam-6970	300	61	)	)	PUNCT
ejpam-6970	300	62	figure	figure	NOUN
ejpam-6970	300	63	8	8	NUM
ejpam-6970	300	64	:	:	PUNCT
ejpam-6970	300	65	contour	contour	NOUN
ejpam-6970	300	66	plots	plot	NOUN
ejpam-6970	300	67	of	of	ADP
ejpam-6970	300	68	error	error	NOUN
ejpam-6970	300	69	norms	norm	NOUN
ejpam-6970	300	70	for	for	ADP
ejpam-6970	300	71	problem	problem	NOUN
ejpam-6970	300	72	2	2	NUM
ejpam-6970	300	73	using	use	VERB
ejpam-6970	300	74	the	the	DET
ejpam-6970	300	75	itm	itm	NOUN
ejpam-6970	300	76	in	in	ADP
ejpam-6970	300	77	the	the	DET
ejpam-6970	300	78	βτ	βτ	PROPN
ejpam-6970	300	79	plane	plane	NOUN
ejpam-6970	300	80	:	:	PUNCT
ejpam-6970	300	81	(	(	PUNCT
ejpam-6970	300	82	a	a	X
ejpam-6970	300	83	)	)	PUNCT
ejpam-6970	300	84	lin	lin	PROPN
ejpam-6970	300	85	error	error	NOUN
ejpam-6970	300	86	norm	norm	NOUN
ejpam-6970	300	87	;	;	PUNCT
ejpam-6970	300	88	(	(	PUNCT
ejpam-6970	300	89	b	b	X
ejpam-6970	300	90	)	)	PUNCT
ejpam-6970	300	91	lrms	lrm	NOUN
ejpam-6970	300	92	error	error	NOUN
ejpam-6970	300	93	norm	norm	NOUN
ejpam-6970	300	94	.	.	PUNCT
ejpam-6970	301	1	problem	problem	NOUN
ejpam-6970	301	2	3	3	NUM
ejpam-6970	301	3	consider	consider	VERB
ejpam-6970	301	4	the	the	DET
ejpam-6970	301	5	fovide	fovide	NOUN
ejpam-6970	301	6	(	(	PUNCT
ejpam-6970	301	7	1	1	NUM
ejpam-6970	301	8	)	)	PUNCT
ejpam-6970	301	9	with	with	ADP
ejpam-6970	301	10	the	the	DET
ejpam-6970	301	11	exact	exact	ADJ
ejpam-6970	301	12	solution	solution	NOUN
ejpam-6970	301	13	y(τ	y(τ	PROPN
ejpam-6970	301	14	)	)	PUNCT
ejpam-6970	302	1	=	=	SYM
ejpam-6970	302	2	sin(τ	sin(τ	PROPN
ejpam-6970	302	3	)	)	PUNCT
ejpam-6970	302	4	.	.	PUNCT
ejpam-6970	303	1	table	table	NOUN
ejpam-6970	303	2	3	3	NUM
ejpam-6970	303	3	:	:	PUNCT
ejpam-6970	303	4	comparison	comparison	NOUN
ejpam-6970	303	5	of	of	ADP
ejpam-6970	303	6	the	the	DET
ejpam-6970	303	7	improved	improved	ADJ
ejpam-6970	303	8	gm	gm	PROPN
ejpam-6970	303	9	and	and	CCONJ
ejpam-6970	303	10	itm	itm	PROPN
ejpam-6970	303	11	methods	method	NOUN
ejpam-6970	303	12	for	for	ADP
ejpam-6970	303	13	problem	problem	NOUN
ejpam-6970	303	14	3	3	NUM
ejpam-6970	303	15	,	,	PUNCT
ejpam-6970	303	16	showing	show	VERB
ejpam-6970	303	17	lin	lin	PROPN
ejpam-6970	303	18	and	and	CCONJ
ejpam-6970	303	19	lrms	lrms	PROPN
ejpam-6970	303	20	.	.	PUNCT
ejpam-6970	304	1	gm	gm	PROPN
ejpam-6970	304	2	itm	itm	PROPN
ejpam-6970	304	3	ng	ng	PROPN
ejpam-6970	304	4	lin	lin	PROPN
ejpam-6970	304	5	lrms	lrms	PROPN
ejpam-6970	304	6	cpu	cpu	VERB
ejpam-6970	304	7	(	(	PUNCT
ejpam-6970	304	8	s	s	X
ejpam-6970	304	9	)	)	PUNCT
ejpam-6970	304	10	nt	not	PART
ejpam-6970	304	11	lin	lin	PROPN
ejpam-6970	304	12	lrms	lrms	PROPN
ejpam-6970	304	13	cpu(s	cpu(s	PROPN
ejpam-6970	304	14	)	)	PUNCT
ejpam-6970	304	15	15	15	NUM
ejpam-6970	304	16	2.0879×10−08	2.0879×10−08	NUM
ejpam-6970	304	17	5.3910×10−09	5.3910×10−09	NUM
ejpam-6970	304	18	0.087910	0.087910	NUM
ejpam-6970	304	19	16	16	NUM
ejpam-6970	304	20	5.3996×10−06	5.3996×10−06	NUM
ejpam-6970	304	21	1.3499×10−06	1.3499×10−06	NUM
ejpam-6970	304	22	0.016834	0.016834	NUM
ejpam-6970	304	23	16	16	NUM
ejpam-6970	304	24	8.7414×10−09	8.7414×10−09	NUM
ejpam-6970	304	25	2.1853×10−09	2.1853×10−09	NUM
ejpam-6970	304	26	0.098304	0.098304	NUM
ejpam-6970	304	27	18	18	NUM
ejpam-6970	304	28	8.8526×10−07	8.8526×10−07	NUM
ejpam-6970	304	29	2.0866×10−07	2.0866×10−07	NUM
ejpam-6970	304	30	0.011818	0.011818	NUM
ejpam-6970	304	31	17	17	NUM
ejpam-6970	304	32	2.9932×10−09	2.9932×10−09	NUM
ejpam-6970	304	33	7.2597×10−10	7.2597×10−10	NUM
ejpam-6970	304	34	0.097600	0.097600	NUM
ejpam-6970	304	35	20	20	NUM
ejpam-6970	304	36	9.6216×10−08	9.6216×10−08	NUM
ejpam-6970	304	37	2.1514×10−08	2.1514×10−08	NUM
ejpam-6970	304	38	0.013080	0.013080	NUM
ejpam-6970	304	39	18	18	NUM
ejpam-6970	304	40	8.8385×10−10	8.8385×10−10	NUM
ejpam-6970	304	41	2.0833×10−10	2.0833×10−10	NUM
ejpam-6970	304	42	0.129561	0.129561	NUM
ejpam-6970	304	43	22	22	NUM
ejpam-6970	305	1	6.8963×10−09	6.8963×10−09	NUM
ejpam-6970	305	2	1.4703×10−09	1.4703×10−09	NUM
ejpam-6970	305	3	0.014854	0.014854	NUM
ejpam-6970	305	4	19	19	NUM
ejpam-6970	305	5	2.4670×10−10	2.4670×10−10	NUM
ejpam-6970	305	6	5.6596×10−11	5.6596×10−11	NUM
ejpam-6970	305	7	0.096193	0.096193	NUM
ejpam-6970	305	8	24	24	NUM
ejpam-6970	305	9	1.1958×10−10	1.1958×10−10	NUM
ejpam-6970	305	10	2.4408×10−11	2.4408×10−11	NUM
ejpam-6970	305	11	0.015823	0.015823	NUM
ejpam-6970	305	12	20	20	NUM
ejpam-6970	305	13	6.1596×10−11	6.1596×10−11	NUM
ejpam-6970	305	14	1.3773×10−11	1.3773×10−11	NUM
ejpam-6970	305	15	0.093845	0.093845	NUM
ejpam-6970	305	16	26	26	NUM
ejpam-6970	305	17	5.9034×10−11	5.9034×10−11	NUM
ejpam-6970	305	18	1.1577×10−11	1.1577×10−11	NUM
ejpam-6970	305	19	0.010973	0.010973	NUM
ejpam-6970	305	20	21	21	NUM
ejpam-6970	305	21	1.4559×10−11	1.4559×10−11	NUM
ejpam-6970	305	22	3.1770×10−12	3.1770×10−12	NUM
ejpam-6970	305	23	0.089256	0.089256	NUM
ejpam-6970	305	24	28	28	NUM
ejpam-6970	305	25	1.2398×10−11	1.2398×10−11	NUM
ejpam-6970	305	26	2.3431×10−12	2.3431×10−12	NUM
ejpam-6970	305	27	0.017625	0.017625	NUM
ejpam-6970	305	28	22	22	NUM
ejpam-6970	306	1	3.0064×10−12	3.0064×10−12	NUM
ejpam-6970	306	2	6.4096×10−13	6.4096×10−13	NUM
ejpam-6970	306	3	0.088783	0.088783	NUM
ejpam-6970	306	4	30	30	NUM
ejpam-6970	306	5	1.6377×10−12	1.6377×10−12	NUM
ejpam-6970	306	6	2.9900×10−13	2.9900×10−13	NUM
ejpam-6970	306	7	0.011846	0.011846	NUM
ejpam-6970	306	8	23	23	NUM
ejpam-6970	306	9	5.7976×10−13	5.7976×10−13	NUM
ejpam-6970	306	10	1.2089×10−13	1.2089×10−13	NUM
ejpam-6970	306	11	0.095613	0.095613	NUM
ejpam-6970	306	12	32	32	NUM
ejpam-6970	306	13	1.8074×10−13	1.8074×10−13	NUM
ejpam-6970	306	14	3.1951×10−14	3.1951×10−14	NUM
ejpam-6970	306	15	0.013646	0.013646	NUM
ejpam-6970	306	16	24	24	NUM
ejpam-6970	306	17	9.5035×10−14	9.5035×10−14	NUM
ejpam-6970	306	18	1.9399×10−14	1.9399×10−14	NUM
ejpam-6970	306	19	0.103664	0.103664	NUM
ejpam-6970	306	20	34	34	NUM
ejpam-6970	306	21	5.7458×10−14	5.7458×10−14	NUM
ejpam-6970	306	22	9.8539×10−15	9.8539×10−15	NUM
ejpam-6970	306	23	0.018100	0.018100	NUM
ejpam-6970	306	24	36	36	NUM
ejpam-6970	306	25	3.6749×10−14	3.6749×10−14	NUM
ejpam-6970	306	26	6.1248×10−15	6.1248×10−15	NUM
ejpam-6970	307	1	0.011105	0.011105	NUM
ejpam-6970	307	2	kamran	kamran	PROPN
ejpam-6970	307	3	et	et	PROPN
ejpam-6970	307	4	al	al	PROPN
ejpam-6970	307	5	.	.	PUNCT
ejpam-6970	307	6	/	/	SYM
ejpam-6970	307	7	eur	eur	PROPN
ejpam-6970	307	8	.	.	PUNCT
ejpam-6970	308	1	j.	j.	PROPN
ejpam-6970	308	2	pure	pure	PROPN
ejpam-6970	308	3	appl	appl	PROPN
ejpam-6970	308	4	.	.	PROPN
ejpam-6970	308	5	math	math	PROPN
ejpam-6970	308	6	,	,	PUNCT
ejpam-6970	308	7	18	18	NUM
ejpam-6970	308	8	(	(	PUNCT
ejpam-6970	308	9	4	4	NUM
ejpam-6970	308	10	)	)	PUNCT
ejpam-6970	308	11	(	(	PUNCT
ejpam-6970	308	12	2025	2025	NUM
ejpam-6970	308	13	)	)	PUNCT
ejpam-6970	308	14	,	,	PUNCT
ejpam-6970	308	15	6970	6970	NUM
ejpam-6970	308	16	17	17	NUM
ejpam-6970	308	17	of	of	ADP
ejpam-6970	308	18	22	22	NUM
ejpam-6970	308	19	0	0	NUM
ejpam-6970	308	20	0.2	0.2	NUM
ejpam-6970	308	21	0.4	0.4	NUM
ejpam-6970	308	22	0.6	0.6	NUM
ejpam-6970	309	1	0.8	0.8	NUM
ejpam-6970	309	2	0	0	NUM
ejpam-6970	309	3	0.1	0.1	NUM
ejpam-6970	309	4	0.2	0.2	NUM
ejpam-6970	309	5	0.3	0.3	NUM
ejpam-6970	309	6	0.4	0.4	NUM
ejpam-6970	309	7	0.5	0.5	NUM
ejpam-6970	309	8	0.6	0.6	NUM
ejpam-6970	309	9	0.7	0.7	NUM
ejpam-6970	309	10	0.8	0.8	NUM
ejpam-6970	309	11	(	(	PUNCT
ejpam-6970	309	12	a	a	X
ejpam-6970	309	13	)	)	PUNCT
ejpam-6970	309	14	0	0	NUM
ejpam-6970	309	15	0.2	0.2	NUM
ejpam-6970	309	16	0.4	0.4	NUM
ejpam-6970	309	17	0.6	0.6	NUM
ejpam-6970	309	18	0.8	0.8	NUM
ejpam-6970	309	19	1	1	NUM
ejpam-6970	309	20	10	10	NUM
ejpam-6970	309	21	-	-	SYM
ejpam-6970	309	22	17	17	NUM
ejpam-6970	309	23	10	10	NUM
ejpam-6970	309	24	-	-	SYM
ejpam-6970	309	25	16	16	NUM
ejpam-6970	309	26	10	10	NUM
ejpam-6970	309	27	-	-	SYM
ejpam-6970	309	28	15	15	NUM
ejpam-6970	309	29	10	10	NUM
ejpam-6970	309	30	-	-	SYM
ejpam-6970	309	31	14	14	NUM
ejpam-6970	309	32	10	10	NUM
ejpam-6970	309	33	-	-	SYM
ejpam-6970	309	34	13	13	NUM
ejpam-6970	309	35	(	(	PUNCT
ejpam-6970	309	36	b	b	NOUN
ejpam-6970	309	37	)	)	PUNCT
ejpam-6970	309	38	figure	figure	NOUN
ejpam-6970	309	39	9	9	NUM
ejpam-6970	309	40	:	:	PUNCT
ejpam-6970	309	41	(	(	PUNCT
ejpam-6970	309	42	a	a	X
ejpam-6970	309	43	)	)	PUNCT
ejpam-6970	309	44	numerical	numerical	ADJ
ejpam-6970	309	45	and	and	CCONJ
ejpam-6970	309	46	exact	exact	ADJ
ejpam-6970	309	47	solutions	solution	NOUN
ejpam-6970	309	48	for	for	ADP
ejpam-6970	309	49	problem	problem	NOUN
ejpam-6970	309	50	3	3	NUM
ejpam-6970	309	51	,	,	PUNCT
ejpam-6970	309	52	showing	show	VERB
ejpam-6970	309	53	a	a	DET
ejpam-6970	309	54	near	near	ADV
ejpam-6970	309	55	-	-	PUNCT
ejpam-6970	309	56	perfect	perfect	ADJ
ejpam-6970	309	57	overlap	overlap	NOUN
ejpam-6970	309	58	.	.	PUNCT
ejpam-6970	310	1	(	(	PUNCT
ejpam-6970	310	2	b	b	X
ejpam-6970	310	3	)	)	PUNCT
ejpam-6970	310	4	comparison	comparison	NOUN
ejpam-6970	310	5	of	of	ADP
ejpam-6970	310	6	error	error	NOUN
ejpam-6970	310	7	norms	norm	NOUN
ejpam-6970	310	8	for	for	ADP
ejpam-6970	310	9	problem	problem	NOUN
ejpam-6970	310	10	3	3	NUM
ejpam-6970	310	11	,	,	PUNCT
ejpam-6970	310	12	demonstrating	demonstrate	VERB
ejpam-6970	310	13	the	the	DET
ejpam-6970	310	14	outperformance	outperformance	NOUN
ejpam-6970	310	15	of	of	ADP
ejpam-6970	310	16	the	the	DET
ejpam-6970	310	17	gm	gm	PROPN
ejpam-6970	310	18	over	over	ADP
ejpam-6970	310	19	the	the	DET
ejpam-6970	310	20	itm	itm	NOUN
ejpam-6970	310	21	.	.	PUNCT
ejpam-6970	311	1	10	10	NUM
ejpam-6970	311	2	12	12	NUM
ejpam-6970	311	3	14	14	NUM
ejpam-6970	311	4	16	16	NUM
ejpam-6970	311	5	18	18	NUM
ejpam-6970	311	6	20	20	NUM
ejpam-6970	311	7	22	22	NUM
ejpam-6970	311	8	24	24	NUM
ejpam-6970	311	9	10	10	NUM
ejpam-6970	311	10	-16	-16	NUM
ejpam-6970	311	11	10	10	NUM
ejpam-6970	311	12	-14	-14	SYM
ejpam-6970	311	13	10	10	NUM
ejpam-6970	311	14	-12	-12	NUM
ejpam-6970	311	15	10	10	NUM
ejpam-6970	311	16	-10	-10	SYM
ejpam-6970	311	17	10	10	NUM
ejpam-6970	311	18	-8	-8	NUM
ejpam-6970	311	19	10	10	NUM
ejpam-6970	311	20	-6	-6	NOUN
ejpam-6970	311	21	10	10	NUM
ejpam-6970	311	22	-4	-4	INTJ
ejpam-6970	311	23	(	(	PUNCT
ejpam-6970	311	24	a	a	NOUN
ejpam-6970	311	25	)	)	PUNCT
ejpam-6970	311	26	10	10	NUM
ejpam-6970	311	27	15	15	NUM
ejpam-6970	311	28	20	20	NUM
ejpam-6970	311	29	25	25	NUM
ejpam-6970	311	30	30	30	NUM
ejpam-6970	311	31	35	35	NUM
ejpam-6970	311	32	40	40	NUM
ejpam-6970	311	33	45	45	NUM
ejpam-6970	311	34	50	50	NUM
ejpam-6970	311	35	10	10	NUM
ejpam-6970	311	36	-16	-16	NUM
ejpam-6970	311	37	10	10	NUM
ejpam-6970	311	38	-14	-14	SYM
ejpam-6970	311	39	10	10	NUM
ejpam-6970	311	40	-12	-12	NUM
ejpam-6970	311	41	10	10	NUM
ejpam-6970	311	42	-10	-10	SYM
ejpam-6970	311	43	10	10	NUM
ejpam-6970	311	44	-8	-8	NUM
ejpam-6970	311	45	10	10	NUM
ejpam-6970	311	46	-6	-6	NOUN
ejpam-6970	311	47	10	10	NUM
ejpam-6970	311	48	-4	-4	SYM
ejpam-6970	311	49	10	10	NUM
ejpam-6970	311	50	-2	-2	NOUN
ejpam-6970	311	51	(	(	PUNCT
ejpam-6970	311	52	b	b	NOUN
ejpam-6970	311	53	)	)	PUNCT
ejpam-6970	311	54	figure	figure	NOUN
ejpam-6970	311	55	10	10	NUM
ejpam-6970	311	56	:	:	PUNCT
ejpam-6970	311	57	convergence	convergence	NOUN
ejpam-6970	311	58	analysis	analysis	NOUN
ejpam-6970	311	59	of	of	ADP
ejpam-6970	311	60	error	error	NOUN
ejpam-6970	311	61	norms	norm	NOUN
ejpam-6970	311	62	versus	versus	ADP
ejpam-6970	311	63	quadrature	quadrature	NOUN
ejpam-6970	311	64	nodes	node	NOUN
ejpam-6970	311	65	for	for	ADP
ejpam-6970	311	66	problem	problem	NOUN
ejpam-6970	311	67	3	3	NUM
ejpam-6970	311	68	:	:	PUNCT
ejpam-6970	311	69	(	(	PUNCT
ejpam-6970	311	70	a	a	X
ejpam-6970	311	71	)	)	PUNCT
ejpam-6970	311	72	gm	gm	PROPN
ejpam-6970	311	73	;	;	PUNCT
ejpam-6970	311	74	(	(	PUNCT
ejpam-6970	311	75	b	b	X
ejpam-6970	311	76	)	)	PUNCT
ejpam-6970	311	77	itm	itm	NOUN
ejpam-6970	311	78	.	.	PUNCT
ejpam-6970	312	1	kamran	kamran	PROPN
ejpam-6970	312	2	et	et	PROPN
ejpam-6970	312	3	al	al	PROPN
ejpam-6970	312	4	.	.	PUNCT
ejpam-6970	312	5	/	/	SYM
ejpam-6970	312	6	eur	eur	PROPN
ejpam-6970	312	7	.	.	PUNCT
ejpam-6970	313	1	j.	j.	PROPN
ejpam-6970	313	2	pure	pure	PROPN
ejpam-6970	313	3	appl	appl	PROPN
ejpam-6970	313	4	.	.	PROPN
ejpam-6970	313	5	math	math	PROPN
ejpam-6970	313	6	,	,	PUNCT
ejpam-6970	313	7	18	18	NUM
ejpam-6970	313	8	(	(	PUNCT
ejpam-6970	313	9	4	4	NUM
ejpam-6970	313	10	)	)	PUNCT
ejpam-6970	313	11	(	(	PUNCT
ejpam-6970	313	12	2025	2025	NUM
ejpam-6970	313	13	)	)	PUNCT
ejpam-6970	313	14	,	,	PUNCT
ejpam-6970	313	15	6970	6970	NUM
ejpam-6970	313	16	18	18	NUM
ejpam-6970	313	17	of	of	ADP
ejpam-6970	313	18	22	22	NUM
ejpam-6970	313	19	(	(	PUNCT
ejpam-6970	313	20	a	a	NOUN
ejpam-6970	313	21	)	)	PUNCT
ejpam-6970	313	22	(	(	PUNCT
ejpam-6970	313	23	b	b	X
ejpam-6970	313	24	)	)	PUNCT
ejpam-6970	313	25	figure	figure	NOUN
ejpam-6970	313	26	11	11	NUM
ejpam-6970	313	27	:	:	PUNCT
ejpam-6970	313	28	surface	surface	NOUN
ejpam-6970	313	29	plots	plot	NOUN
ejpam-6970	313	30	of	of	ADP
ejpam-6970	313	31	error	error	NOUN
ejpam-6970	313	32	norms	norm	NOUN
ejpam-6970	313	33	for	for	ADP
ejpam-6970	313	34	problem	problem	NOUN
ejpam-6970	313	35	3	3	NUM
ejpam-6970	313	36	using	use	VERB
ejpam-6970	313	37	the	the	DET
ejpam-6970	313	38	gm	gm	PROPN
ejpam-6970	313	39	method	method	NOUN
ejpam-6970	313	40	in	in	ADP
ejpam-6970	313	41	the	the	DET
ejpam-6970	313	42	βτ	βτ	PROPN
ejpam-6970	313	43	plane	plane	NOUN
ejpam-6970	313	44	:	:	PUNCT
ejpam-6970	313	45	(	(	PUNCT
ejpam-6970	313	46	a	a	X
ejpam-6970	313	47	)	)	PUNCT
ejpam-6970	313	48	lin	lin	PROPN
ejpam-6970	313	49	error	error	NOUN
ejpam-6970	313	50	norm	norm	NOUN
ejpam-6970	313	51	;	;	PUNCT
ejpam-6970	313	52	(	(	PUNCT
ejpam-6970	313	53	b	b	X
ejpam-6970	313	54	)	)	PUNCT
ejpam-6970	313	55	lrms	lrm	NOUN
ejpam-6970	313	56	error	error	NOUN
ejpam-6970	313	57	norm	norm	NOUN
ejpam-6970	313	58	.	.	PUNCT
ejpam-6970	314	1	0.1	0.1	NUM
ejpam-6970	314	2	0.2	0.2	NUM
ejpam-6970	314	3	0.3	0.3	NUM
ejpam-6970	314	4	0.4	0.4	NUM
ejpam-6970	314	5	0.5	0.5	NUM
ejpam-6970	314	6	0.6	0.6	NUM
ejpam-6970	314	7	0.7	0.7	NUM
ejpam-6970	314	8	0.8	0.8	NUM
ejpam-6970	314	9	0.9	0.9	NUM
ejpam-6970	314	10	1	1	NUM
ejpam-6970	314	11	0.1	0.1	NUM
ejpam-6970	314	12	0.2	0.2	NUM
ejpam-6970	314	13	0.3	0.3	NUM
ejpam-6970	314	14	0.4	0.4	NUM
ejpam-6970	314	15	0.5	0.5	NUM
ejpam-6970	314	16	0.6	0.6	NUM
ejpam-6970	314	17	0.7	0.7	NUM
ejpam-6970	314	18	0.8	0.8	NUM
ejpam-6970	314	19	0.9	0.9	NUM
ejpam-6970	314	20	1	1	NUM
ejpam-6970	314	21	1.5	1.5	NUM
ejpam-6970	314	22	2	2	NUM
ejpam-6970	314	23	2.5	2.5	NUM
ejpam-6970	314	24	3	3	NUM
ejpam-6970	314	25	3.5	3.5	NUM
ejpam-6970	314	26	4	4	NUM
ejpam-6970	314	27	4.5	4.5	NUM
ejpam-6970	314	28	5	5	NUM
ejpam-6970	314	29	10	10	NUM
ejpam-6970	314	30	-	-	SYM
ejpam-6970	314	31	14	14	NUM
ejpam-6970	314	32	(	(	PUNCT
ejpam-6970	314	33	a	a	NOUN
ejpam-6970	314	34	)	)	PUNCT
ejpam-6970	314	35	0.1	0.1	NUM
ejpam-6970	314	36	0.2	0.2	NUM
ejpam-6970	314	37	0.3	0.3	NUM
ejpam-6970	314	38	0.4	0.4	NUM
ejpam-6970	314	39	0.5	0.5	NUM
ejpam-6970	314	40	0.6	0.6	NUM
ejpam-6970	314	41	0.7	0.7	NUM
ejpam-6970	314	42	0.8	0.8	NUM
ejpam-6970	314	43	0.9	0.9	NUM
ejpam-6970	314	44	1	1	NUM
ejpam-6970	314	45	0.1	0.1	NUM
ejpam-6970	314	46	0.2	0.2	NUM
ejpam-6970	314	47	0.3	0.3	NUM
ejpam-6970	314	48	0.4	0.4	NUM
ejpam-6970	314	49	0.5	0.5	NUM
ejpam-6970	314	50	0.6	0.6	NUM
ejpam-6970	314	51	0.7	0.7	NUM
ejpam-6970	314	52	0.8	0.8	NUM
ejpam-6970	314	53	0.9	0.9	NUM
ejpam-6970	314	54	1	1	NUM
ejpam-6970	314	55	2	2	NUM
ejpam-6970	314	56	3	3	NUM
ejpam-6970	314	57	4	4	NUM
ejpam-6970	314	58	5	5	NUM
ejpam-6970	314	59	6	6	NUM
ejpam-6970	314	60	7	7	NUM
ejpam-6970	314	61	8	8	NUM
ejpam-6970	314	62	10	10	NUM
ejpam-6970	314	63	-	-	SYM
ejpam-6970	314	64	15	15	NUM
ejpam-6970	314	65	(	(	PUNCT
ejpam-6970	314	66	b	b	NOUN
ejpam-6970	314	67	)	)	PUNCT
ejpam-6970	314	68	figure	figure	NOUN
ejpam-6970	314	69	12	12	NUM
ejpam-6970	314	70	:	:	PUNCT
ejpam-6970	314	71	contour	contour	NOUN
ejpam-6970	314	72	plots	plot	NOUN
ejpam-6970	314	73	of	of	ADP
ejpam-6970	314	74	error	error	NOUN
ejpam-6970	314	75	norms	norm	NOUN
ejpam-6970	314	76	for	for	ADP
ejpam-6970	314	77	problem	problem	NOUN
ejpam-6970	314	78	3	3	NUM
ejpam-6970	314	79	using	use	VERB
ejpam-6970	314	80	the	the	DET
ejpam-6970	314	81	itm	itm	NOUN
ejpam-6970	314	82	in	in	ADP
ejpam-6970	314	83	the	the	DET
ejpam-6970	314	84	βτ	βτ	PROPN
ejpam-6970	314	85	plane	plane	NOUN
ejpam-6970	314	86	:	:	PUNCT
ejpam-6970	314	87	(	(	PUNCT
ejpam-6970	314	88	a	a	X
ejpam-6970	314	89	)	)	PUNCT
ejpam-6970	314	90	lin	lin	PROPN
ejpam-6970	314	91	error	error	NOUN
ejpam-6970	314	92	norm	norm	NOUN
ejpam-6970	314	93	;	;	PUNCT
ejpam-6970	314	94	(	(	PUNCT
ejpam-6970	314	95	b	b	X
ejpam-6970	314	96	)	)	PUNCT
ejpam-6970	314	97	lrms	lrm	NOUN
ejpam-6970	314	98	error	error	NOUN
ejpam-6970	314	99	norm	norm	NOUN
ejpam-6970	314	100	..	..	PUNCT
ejpam-6970	315	1	5	5	X
ejpam-6970	315	2	.	.	X
ejpam-6970	315	3	discussion	discussion	NOUN
ejpam-6970	315	4	of	of	ADP
ejpam-6970	315	5	numerical	numerical	ADJ
ejpam-6970	315	6	results	result	NOUN
ejpam-6970	315	7	the	the	DET
ejpam-6970	315	8	numerical	numerical	ADJ
ejpam-6970	315	9	performance	performance	NOUN
ejpam-6970	315	10	of	of	ADP
ejpam-6970	315	11	the	the	DET
ejpam-6970	315	12	gm	gm	PROPN
ejpam-6970	315	13	and	and	CCONJ
ejpam-6970	315	14	the	the	DET
ejpam-6970	315	15	itm	itm	NOUN
ejpam-6970	315	16	was	be	AUX
ejpam-6970	315	17	rigorously	rigorously	ADV
ejpam-6970	315	18	evaluated	evaluate	VERB
ejpam-6970	315	19	across	across	ADP
ejpam-6970	315	20	three	three	NUM
ejpam-6970	315	21	distinct	distinct	ADJ
ejpam-6970	315	22	test	test	NOUN
ejpam-6970	315	23	problems	problem	NOUN
ejpam-6970	315	24	.	.	PUNCT
ejpam-6970	316	1	a	a	DET
ejpam-6970	316	2	comprehensive	comprehensive	ADJ
ejpam-6970	316	3	error	error	NOUN
ejpam-6970	316	4	analysis	analysis	NOUN
ejpam-6970	316	5	was	be	AUX
ejpam-6970	316	6	conducted	conduct	VERB
ejpam-6970	316	7	using	use	VERB
ejpam-6970	316	8	both	both	CCONJ
ejpam-6970	316	9	the	the	DET
ejpam-6970	316	10	infinite	infinite	ADJ
ejpam-6970	316	11	norm	norm	NOUN
ejpam-6970	316	12	(	(	PUNCT
ejpam-6970	316	13	ln	ln	ADJ
ejpam-6970	316	14	)	)	PUNCT
ejpam-6970	316	15	and	and	CCONJ
ejpam-6970	316	16	the	the	DET
ejpam-6970	316	17	root	root	NOUN
ejpam-6970	316	18	mean	mean	VERB
ejpam-6970	316	19	square	square	ADJ
ejpam-6970	316	20	norm	norm	NOUN
ejpam-6970	316	21	(	(	PUNCT
ejpam-6970	316	22	lrms	lrm	NOUN
ejpam-6970	316	23	)	)	PUNCT
ejpam-6970	316	24	.	.	PUNCT
ejpam-6970	317	1	the	the	DET
ejpam-6970	317	2	results	result	NOUN
ejpam-6970	317	3	,	,	PUNCT
ejpam-6970	317	4	detailed	detail	VERB
ejpam-6970	317	5	in	in	ADP
ejpam-6970	317	6	tables	table	NOUN
ejpam-6970	317	7	1–3	1–3	NOUN
ejpam-6970	317	8	,	,	PUNCT
ejpam-6970	317	9	consistently	consistently	ADV
ejpam-6970	317	10	demonstrate	demonstrate	VERB
ejpam-6970	317	11	the	the	DET
ejpam-6970	317	12	superior	superior	ADJ
ejpam-6970	317	13	accuracy	accuracy	NOUN
ejpam-6970	317	14	and	and	CCONJ
ejpam-6970	317	15	convergence	convergence	NOUN
ejpam-6970	317	16	behavior	behavior	NOUN
ejpam-6970	317	17	of	of	ADP
ejpam-6970	317	18	the	the	DET
ejpam-6970	317	19	itm	itm	NOUN
ejpam-6970	317	20	over	over	ADP
ejpam-6970	317	21	the	the	DET
ejpam-6970	317	22	gm	gm	PROPN
ejpam-6970	317	23	method	method	NOUN
ejpam-6970	317	24	,	,	PUNCT
ejpam-6970	317	25	with	with	ADP
ejpam-6970	317	26	the	the	DET
ejpam-6970	317	27	itm	itm	NOUN
ejpam-6970	317	28	achieving	achieve	VERB
ejpam-6970	317	29	significantly	significantly	ADV
ejpam-6970	317	30	lower	low	ADJ
ejpam-6970	317	31	error	error	NOUN
ejpam-6970	317	32	values	value	NOUN
ejpam-6970	317	33	in	in	ADP
ejpam-6970	317	34	all	all	DET
ejpam-6970	317	35	cases	case	NOUN
ejpam-6970	317	36	.	.	PUNCT
ejpam-6970	318	1	kamran	kamran	PROPN
ejpam-6970	318	2	et	et	PROPN
ejpam-6970	318	3	al	al	PROPN
ejpam-6970	318	4	.	.	PUNCT
ejpam-6970	318	5	/	/	SYM
ejpam-6970	318	6	eur	eur	PROPN
ejpam-6970	318	7	.	.	PUNCT
ejpam-6970	319	1	j.	j.	PROPN
ejpam-6970	319	2	pure	pure	PROPN
ejpam-6970	319	3	appl	appl	PROPN
ejpam-6970	319	4	.	.	PROPN
ejpam-6970	319	5	math	math	PROPN
ejpam-6970	319	6	,	,	PUNCT
ejpam-6970	319	7	18	18	NUM
ejpam-6970	319	8	(	(	PUNCT
ejpam-6970	319	9	4	4	NUM
ejpam-6970	319	10	)	)	PUNCT
ejpam-6970	319	11	(	(	PUNCT
ejpam-6970	319	12	2025	2025	NUM
ejpam-6970	319	13	)	)	PUNCT
ejpam-6970	319	14	,	,	PUNCT
ejpam-6970	319	15	6970	6970	NUM
ejpam-6970	319	16	19	19	NUM
ejpam-6970	319	17	of	of	ADP
ejpam-6970	319	18	22	22	NUM
ejpam-6970	319	19	this	this	DET
ejpam-6970	319	20	initial	initial	ADJ
ejpam-6970	319	21	comparison	comparison	NOUN
ejpam-6970	319	22	was	be	AUX
ejpam-6970	319	23	performed	perform	VERB
ejpam-6970	319	24	using	use	VERB
ejpam-6970	319	25	a	a	DET
ejpam-6970	319	26	constant	constant	ADJ
ejpam-6970	319	27	kernel	kernel	NOUN
ejpam-6970	319	28	function	function	NOUN
ejpam-6970	319	29	,	,	PUNCT
ejpam-6970	319	30	k(τ	k(τ	PROPN
ejpam-6970	319	31	,	,	PUNCT
ejpam-6970	319	32	t	t	PROPN
ejpam-6970	319	33	)	)	PUNCT
ejpam-6970	319	34	=	=	SYM
ejpam-6970	319	35	1	1	NUM
ejpam-6970	319	36	,	,	PUNCT
ejpam-6970	319	37	for	for	ADP
ejpam-6970	319	38	all	all	DET
ejpam-6970	319	39	problems	problem	NOUN
ejpam-6970	319	40	.	.	PUNCT
ejpam-6970	320	1	the	the	DET
ejpam-6970	320	2	excellent	excellent	ADJ
ejpam-6970	320	3	agreement	agreement	NOUN
ejpam-6970	320	4	between	between	ADP
ejpam-6970	320	5	the	the	DET
ejpam-6970	320	6	exact	exact	ADJ
ejpam-6970	320	7	and	and	CCONJ
ejpam-6970	320	8	numerical	numerical	ADJ
ejpam-6970	320	9	solutions	solution	NOUN
ejpam-6970	320	10	,	,	PUNCT
ejpam-6970	320	11	visually	visually	ADV
ejpam-6970	320	12	confirmed	confirm	VERB
ejpam-6970	320	13	in	in	ADP
ejpam-6970	320	14	figures	figure	NOUN
ejpam-6970	320	15	1a	1a	NOUN
ejpam-6970	320	16	,	,	PUNCT
ejpam-6970	320	17	5a	5a	NUM
ejpam-6970	320	18	,	,	PUNCT
ejpam-6970	320	19	and	and	CCONJ
ejpam-6970	320	20	9a	9a	NOUN
ejpam-6970	320	21	,	,	PUNCT
ejpam-6970	320	22	alongside	alongside	ADP
ejpam-6970	320	23	the	the	DET
ejpam-6970	320	24	direct	direct	ADJ
ejpam-6970	320	25	error	error	NOUN
ejpam-6970	320	26	norm	norm	NOUN
ejpam-6970	320	27	comparisons	comparison	NOUN
ejpam-6970	320	28	in	in	ADP
ejpam-6970	320	29	figures	figure	NOUN
ejpam-6970	320	30	1b	1b	NUM
ejpam-6970	320	31	,	,	PUNCT
ejpam-6970	320	32	5b	5b	NUM
ejpam-6970	320	33	,	,	PUNCT
ejpam-6970	320	34	and	and	CCONJ
ejpam-6970	320	35	9b	9b	NOUN
ejpam-6970	320	36	,	,	PUNCT
ejpam-6970	320	37	underscores	underscore	VERB
ejpam-6970	320	38	the	the	DET
ejpam-6970	320	39	high	high	ADJ
ejpam-6970	320	40	baseline	baseline	NOUN
ejpam-6970	320	41	accuracy	accuracy	NOUN
ejpam-6970	320	42	of	of	ADP
ejpam-6970	320	43	the	the	DET
ejpam-6970	320	44	proposed	propose	VERB
ejpam-6970	320	45	numerical	numerical	ADJ
ejpam-6970	320	46	inversion	inversion	NOUN
ejpam-6970	320	47	framework	framework	NOUN
ejpam-6970	320	48	and	and	CCONJ
ejpam-6970	320	49	clearly	clearly	ADV
ejpam-6970	320	50	establishes	establish	VERB
ejpam-6970	320	51	the	the	DET
ejpam-6970	320	52	itm	itm	NOUN
ejpam-6970	320	53	’s	’s	PART
ejpam-6970	320	54	advantage	advantage	NOUN
ejpam-6970	320	55	.	.	PUNCT
ejpam-6970	321	1	to	to	PART
ejpam-6970	321	2	further	far	ADV
ejpam-6970	321	3	investigate	investigate	VERB
ejpam-6970	321	4	the	the	DET
ejpam-6970	321	5	robustness	robustness	NOUN
ejpam-6970	321	6	and	and	CCONJ
ejpam-6970	321	7	versatility	versatility	NOUN
ejpam-6970	321	8	of	of	ADP
ejpam-6970	321	9	the	the	DET
ejpam-6970	321	10	methods	method	NOUN
ejpam-6970	321	11	,	,	PUNCT
ejpam-6970	321	12	the	the	DET
ejpam-6970	321	13	analysis	analysis	NOUN
ejpam-6970	321	14	was	be	AUX
ejpam-6970	321	15	extended	extend	VERB
ejpam-6970	321	16	to	to	ADP
ejpam-6970	321	17	problems	problem	NOUN
ejpam-6970	321	18	with	with	ADP
ejpam-6970	321	19	variable	variable	ADJ
ejpam-6970	321	20	kernels	kernel	NOUN
ejpam-6970	321	21	:	:	PUNCT
ejpam-6970	321	22	k(τ	k(τ	PROPN
ejpam-6970	321	23	,	,	PUNCT
ejpam-6970	321	24	t	t	PROPN
ejpam-6970	321	25	)	)	PUNCT
ejpam-6970	322	1	=	=	SYM
ejpam-6970	322	2	sin(τ	sin(τ	PROPN
ejpam-6970	322	3	−	−	PROPN
ejpam-6970	322	4	t	t	PROPN
ejpam-6970	322	5	)	)	PUNCT
ejpam-6970	322	6	for	for	ADP
ejpam-6970	322	7	problem	problem	NOUN
ejpam-6970	322	8	1	1	NUM
ejpam-6970	322	9	,	,	PUNCT
ejpam-6970	322	10	k(τ	k(τ	PROPN
ejpam-6970	322	11	,	,	PUNCT
ejpam-6970	322	12	t	t	PROPN
ejpam-6970	322	13	)	)	PUNCT
ejpam-6970	323	1	=	=	PUNCT
ejpam-6970	323	2	τ	τ	PROPN
ejpam-6970	323	3	−	−	PROPN
ejpam-6970	323	4	t	t	PROPN
ejpam-6970	323	5	for	for	ADP
ejpam-6970	323	6	problem	problem	NOUN
ejpam-6970	323	7	2	2	NUM
ejpam-6970	323	8	,	,	PUNCT
ejpam-6970	323	9	and	and	CCONJ
ejpam-6970	323	10	k(τ	k(τ	PROPN
ejpam-6970	323	11	,	,	PUNCT
ejpam-6970	323	12	t	t	PROPN
ejpam-6970	323	13	)	)	PUNCT
ejpam-6970	323	14	=	=	SYM
ejpam-6970	323	15	e(τ−t	e(τ−t	PROPN
ejpam-6970	323	16	)	)	PUNCT
ejpam-6970	323	17	for	for	ADP
ejpam-6970	323	18	problem	problem	NOUN
ejpam-6970	323	19	3	3	NUM
ejpam-6970	323	20	.	.	NUM
ejpam-6970	323	21	figures	figure	NOUN
ejpam-6970	323	22	2a	2a	NUM
ejpam-6970	323	23	,	,	PUNCT
ejpam-6970	323	24	6a	6a	NOUN
ejpam-6970	323	25	,	,	PUNCT
ejpam-6970	323	26	10a	10a	NOUN
ejpam-6970	323	27	and	and	CCONJ
ejpam-6970	323	28	2b	2b	NOUN
ejpam-6970	323	29	,	,	PUNCT
ejpam-6970	323	30	6b	6b	NUM
ejpam-6970	323	31	,	,	PUNCT
ejpam-6970	323	32	10b	10b	NOUN
ejpam-6970	323	33	illustrate	illustrate	VERB
ejpam-6970	323	34	the	the	DET
ejpam-6970	323	35	convergence	convergence	NOUN
ejpam-6970	323	36	of	of	ADP
ejpam-6970	323	37	the	the	DET
ejpam-6970	323	38	l∞	l∞	NOUN
ejpam-6970	323	39	and	and	CCONJ
ejpam-6970	323	40	lrms	lrm	NOUN
ejpam-6970	323	41	error	error	NOUN
ejpam-6970	323	42	norms	norm	NOUN
ejpam-6970	323	43	with	with	ADP
ejpam-6970	323	44	respect	respect	NOUN
ejpam-6970	323	45	to	to	ADP
ejpam-6970	323	46	the	the	DET
ejpam-6970	323	47	number	number	NOUN
ejpam-6970	323	48	of	of	ADP
ejpam-6970	323	49	quadrature	quadrature	NOUN
ejpam-6970	323	50	nodes	node	NOUN
ejpam-6970	323	51	for	for	ADP
ejpam-6970	323	52	the	the	DET
ejpam-6970	323	53	gm	gm	PROPN
ejpam-6970	323	54	and	and	CCONJ
ejpam-6970	323	55	itm	itm	NOUN
ejpam-6970	323	56	,	,	PUNCT
ejpam-6970	323	57	respectively	respectively	ADV
ejpam-6970	323	58	.	.	PUNCT
ejpam-6970	324	1	a	a	DET
ejpam-6970	324	2	consistent	consistent	ADJ
ejpam-6970	324	3	decrease	decrease	NOUN
ejpam-6970	324	4	in	in	ADP
ejpam-6970	324	5	error	error	NOUN
ejpam-6970	324	6	is	be	AUX
ejpam-6970	324	7	observed	observe	VERB
ejpam-6970	324	8	as	as	ADP
ejpam-6970	324	9	the	the	DET
ejpam-6970	324	10	number	number	NOUN
ejpam-6970	324	11	of	of	ADP
ejpam-6970	324	12	quadrature	quadrature	NOUN
ejpam-6970	324	13	nodes	node	NOUN
ejpam-6970	324	14	increases	increase	NOUN
ejpam-6970	324	15	,	,	PUNCT
ejpam-6970	324	16	confirming	confirm	VERB
ejpam-6970	324	17	the	the	DET
ejpam-6970	324	18	expected	expect	VERB
ejpam-6970	324	19	convergence	convergence	NOUN
ejpam-6970	324	20	for	for	ADP
ejpam-6970	324	21	both	both	DET
ejpam-6970	324	22	methods	method	NOUN
ejpam-6970	324	23	.	.	PUNCT
ejpam-6970	325	1	the	the	DET
ejpam-6970	325	2	behavior	behavior	NOUN
ejpam-6970	325	3	of	of	ADP
ejpam-6970	325	4	the	the	DET
ejpam-6970	325	5	error	error	NOUN
ejpam-6970	325	6	landscapes	landscape	NOUN
ejpam-6970	325	7	was	be	AUX
ejpam-6970	325	8	thoroughly	thoroughly	ADV
ejpam-6970	325	9	examined	examine	VERB
ejpam-6970	325	10	through	through	ADP
ejpam-6970	325	11	surface	surface	NOUN
ejpam-6970	325	12	and	and	CCONJ
ejpam-6970	325	13	contour	contour	NOUN
ejpam-6970	325	14	plots	plot	NOUN
ejpam-6970	325	15	of	of	ADP
ejpam-6970	325	16	the	the	DET
ejpam-6970	325	17	lin	lin	PROPN
ejpam-6970	325	18	and	and	CCONJ
ejpam-6970	325	19	lrms	lrm	NOUN
ejpam-6970	325	20	norms	norm	VERB
ejpam-6970	325	21	across	across	ADP
ejpam-6970	325	22	the	the	DET
ejpam-6970	325	23	ατ	ατ	NOUN
ejpam-6970	325	24	plane	plane	NOUN
ejpam-6970	325	25	.	.	PUNCT
ejpam-6970	326	1	the	the	DET
ejpam-6970	326	2	surface	surface	NOUN
ejpam-6970	326	3	plots	plot	VERB
ejpam-6970	326	4	for	for	ADP
ejpam-6970	326	5	the	the	DET
ejpam-6970	326	6	gm	gm	PROPN
ejpam-6970	326	7	(	(	PUNCT
ejpam-6970	326	8	figures	figure	NOUN
ejpam-6970	326	9	3a	3a	NUM
ejpam-6970	326	10	,	,	PUNCT
ejpam-6970	326	11	3b	3b	NUM
ejpam-6970	326	12	,	,	PUNCT
ejpam-6970	326	13	7a	7a	NUM
ejpam-6970	326	14	,	,	PUNCT
ejpam-6970	326	15	7b	7b	NOUN
ejpam-6970	326	16	,	,	PUNCT
ejpam-6970	326	17	11a	11a	NOUN
ejpam-6970	326	18	,	,	PUNCT
ejpam-6970	326	19	11b	11b	NOUN
ejpam-6970	326	20	)	)	PUNCT
ejpam-6970	326	21	confirm	confirm	VERB
ejpam-6970	326	22	its	its	PRON
ejpam-6970	326	23	capability	capability	NOUN
ejpam-6970	326	24	to	to	PART
ejpam-6970	326	25	maintain	maintain	VERB
ejpam-6970	326	26	high	high	ADJ
ejpam-6970	326	27	accuracy	accuracy	NOUN
ejpam-6970	326	28	even	even	ADV
ejpam-6970	326	29	with	with	ADP
ejpam-6970	326	30	more	more	ADJ
ejpam-6970	326	31	complex	complex	ADJ
ejpam-6970	326	32	kernel	kernel	NOUN
ejpam-6970	326	33	functions	function	NOUN
ejpam-6970	326	34	.	.	PUNCT
ejpam-6970	327	1	however	however	ADV
ejpam-6970	327	2	,	,	PUNCT
ejpam-6970	327	3	the	the	DET
ejpam-6970	327	4	corresponding	correspond	VERB
ejpam-6970	327	5	contour	contour	NOUN
ejpam-6970	327	6	plots	plot	NOUN
ejpam-6970	327	7	for	for	ADP
ejpam-6970	327	8	the	the	DET
ejpam-6970	327	9	itm	itm	NOUN
ejpam-6970	327	10	(	(	PUNCT
ejpam-6970	327	11	figures	figure	NOUN
ejpam-6970	327	12	4a	4a	NUM
ejpam-6970	327	13	,	,	PUNCT
ejpam-6970	327	14	4b	4b	X
ejpam-6970	327	15	,	,	PUNCT
ejpam-6970	327	16	8a	8a	NUM
ejpam-6970	327	17	,	,	PUNCT
ejpam-6970	327	18	8b	8b	NUM
ejpam-6970	327	19	,	,	PUNCT
ejpam-6970	327	20	12a	12a	NOUN
ejpam-6970	327	21	,	,	PUNCT
ejpam-6970	327	22	12b	12b	NOUN
ejpam-6970	327	23	)	)	PUNCT
ejpam-6970	327	24	reveal	reveal	VERB
ejpam-6970	327	25	a	a	DET
ejpam-6970	327	26	consistently	consistently	ADV
ejpam-6970	327	27	more	more	ADV
ejpam-6970	327	28	refined	refined	ADJ
ejpam-6970	327	29	and	and	CCONJ
ejpam-6970	327	30	superior	superior	ADJ
ejpam-6970	327	31	error	error	NOUN
ejpam-6970	327	32	distribution	distribution	NOUN
ejpam-6970	327	33	,	,	PUNCT
ejpam-6970	327	34	characterized	characterize	VERB
ejpam-6970	327	35	by	by	ADP
ejpam-6970	327	36	tighter	tight	ADJ
ejpam-6970	327	37	,	,	PUNCT
ejpam-6970	327	38	more	more	ADV
ejpam-6970	327	39	concentrated	concentrated	ADJ
ejpam-6970	327	40	contours	contours	NOUN
ejpam-6970	327	41	indicating	indicate	VERB
ejpam-6970	327	42	lower	low	ADJ
ejpam-6970	327	43	and	and	CCONJ
ejpam-6970	327	44	more	more	ADV
ejpam-6970	327	45	stable	stable	ADJ
ejpam-6970	327	46	error	error	NOUN
ejpam-6970	327	47	levels	level	NOUN
ejpam-6970	327	48	across	across	ADP
ejpam-6970	327	49	the	the	DET
ejpam-6970	327	50	parameter	parameter	NOUN
ejpam-6970	327	51	space	space	NOUN
ejpam-6970	327	52	.	.	PUNCT
ejpam-6970	328	1	the	the	DET
ejpam-6970	328	2	numerical	numerical	ADJ
ejpam-6970	328	3	scheme	scheme	NOUN
ejpam-6970	328	4	demonstrates	demonstrate	VERB
ejpam-6970	328	5	remarkable	remarkable	ADJ
ejpam-6970	328	6	stability	stability	NOUN
ejpam-6970	328	7	throughout	throughout	ADP
ejpam-6970	328	8	the	the	DET
ejpam-6970	328	9	entire	entire	ADJ
ejpam-6970	328	10	α	α	NOUN
ejpam-6970	328	11	∈	∈	PROPN
ejpam-6970	328	12	(	(	PUNCT
ejpam-6970	328	13	0	0	NUM
ejpam-6970	328	14	,	,	PUNCT
ejpam-6970	328	15	1	1	X
ejpam-6970	328	16	)	)	PUNCT
ejpam-6970	328	17	range	range	NOUN
ejpam-6970	328	18	,	,	PUNCT
ejpam-6970	328	19	with	with	ADP
ejpam-6970	328	20	only	only	ADJ
ejpam-6970	328	21	mild	mild	ADJ
ejpam-6970	328	22	degradation	degradation	NOUN
ejpam-6970	328	23	as	as	ADP
ejpam-6970	328	24	α	α	NOUN
ejpam-6970	328	25	→	→	SYM
ejpam-6970	328	26	0	0	NUM
ejpam-6970	328	27	.	.	PUNCT
ejpam-6970	329	1	this	this	DET
ejpam-6970	329	2	robustness	robustness	NOUN
ejpam-6970	329	3	makes	make	VERB
ejpam-6970	329	4	it	it	PRON
ejpam-6970	329	5	suitable	suitable	ADJ
ejpam-6970	329	6	for	for	ADP
ejpam-6970	329	7	practical	practical	ADJ
ejpam-6970	329	8	applications	application	NOUN
ejpam-6970	329	9	where	where	SCONJ
ejpam-6970	329	10	fractional	fractional	ADJ
ejpam-6970	329	11	orders	order	NOUN
ejpam-6970	329	12	may	may	AUX
ejpam-6970	329	13	vary	vary	VERB
ejpam-6970	329	14	,	,	PUNCT
ejpam-6970	329	15	confirming	confirm	VERB
ejpam-6970	329	16	that	that	SCONJ
ejpam-6970	329	17	both	both	DET
ejpam-6970	329	18	inversion	inversion	NOUN
ejpam-6970	329	19	methods	method	NOUN
ejpam-6970	329	20	effectively	effectively	ADV
ejpam-6970	329	21	handle	handle	VERB
ejpam-6970	329	22	the	the	DET
ejpam-6970	329	23	mathematical	mathematical	ADJ
ejpam-6970	329	24	complexities	complexity	NOUN
ejpam-6970	329	25	introduced	introduce	VERB
ejpam-6970	329	26	by	by	ADP
ejpam-6970	329	27	the	the	DET
ejpam-6970	329	28	mabc	mabc	ADJ
ejpam-6970	329	29	derivative	derivative	ADJ
ejpam-6970	329	30	operator	operator	NOUN
ejpam-6970	329	31	collectively	collectively	ADV
ejpam-6970	329	32	,	,	PUNCT
ejpam-6970	329	33	the	the	DET
ejpam-6970	329	34	results	result	NOUN
ejpam-6970	329	35	from	from	ADP
ejpam-6970	329	36	all	all	DET
ejpam-6970	329	37	three	three	NUM
ejpam-6970	329	38	problems	problem	NOUN
ejpam-6970	329	39	,	,	PUNCT
ejpam-6970	329	40	with	with	ADP
ejpam-6970	329	41	both	both	CCONJ
ejpam-6970	329	42	constant	constant	ADJ
ejpam-6970	329	43	and	and	CCONJ
ejpam-6970	329	44	variable	variable	ADJ
ejpam-6970	329	45	kernels	kernel	NOUN
ejpam-6970	329	46	,	,	PUNCT
ejpam-6970	329	47	establish	establish	VERB
ejpam-6970	329	48	that	that	SCONJ
ejpam-6970	329	49	the	the	DET
ejpam-6970	329	50	itm	itm	NOUN
ejpam-6970	329	51	is	be	AUX
ejpam-6970	329	52	a	a	DET
ejpam-6970	329	53	more	more	ADV
ejpam-6970	329	54	robust	robust	ADJ
ejpam-6970	329	55	,	,	PUNCT
ejpam-6970	329	56	efficient	efficient	ADJ
ejpam-6970	329	57	,	,	PUNCT
ejpam-6970	329	58	and	and	CCONJ
ejpam-6970	329	59	highly	highly	ADV
ejpam-6970	329	60	accurate	accurate	ADJ
ejpam-6970	329	61	computational	computational	ADJ
ejpam-6970	329	62	technique	technique	NOUN
ejpam-6970	329	63	for	for	ADP
ejpam-6970	329	64	solving	solve	VERB
ejpam-6970	329	65	this	this	DET
ejpam-6970	329	66	class	class	NOUN
ejpam-6970	329	67	of	of	ADP
ejpam-6970	329	68	equations	equation	NOUN
ejpam-6970	329	69	,	,	PUNCT
ejpam-6970	329	70	demonstrating	demonstrate	VERB
ejpam-6970	329	71	its	its	PRON
ejpam-6970	329	72	reliability	reliability	NOUN
ejpam-6970	329	73	for	for	ADP
ejpam-6970	329	74	a	a	DET
ejpam-6970	329	75	wider	wide	ADJ
ejpam-6970	329	76	range	range	NOUN
ejpam-6970	329	77	of	of	ADP
ejpam-6970	329	78	applications	application	NOUN
ejpam-6970	329	79	.	.	PUNCT
ejpam-6970	330	1	6	6	NUM
ejpam-6970	330	2	.	.	X
ejpam-6970	330	3	conclusion	conclusion	NOUN
ejpam-6970	330	4	this	this	DET
ejpam-6970	330	5	article	article	NOUN
ejpam-6970	330	6	developed	develop	VERB
ejpam-6970	330	7	and	and	CCONJ
ejpam-6970	330	8	implemented	implement	VERB
ejpam-6970	330	9	an	an	DET
ejpam-6970	330	10	efficient	efficient	ADJ
ejpam-6970	330	11	numerical	numerical	ADJ
ejpam-6970	330	12	technique	technique	NOUN
ejpam-6970	330	13	for	for	ADP
ejpam-6970	330	14	solving	solve	VERB
ejpam-6970	330	15	a	a	DET
ejpam-6970	330	16	class	class	NOUN
ejpam-6970	330	17	of	of	ADP
ejpam-6970	330	18	fovides	fovide	NOUN
ejpam-6970	330	19	including	include	VERB
ejpam-6970	330	20	the	the	DET
ejpam-6970	330	21	mabc	mabc	PROPN
ejpam-6970	330	22	derivative	derivative	NOUN
ejpam-6970	330	23	.	.	PUNCT
ejpam-6970	331	1	the	the	DET
ejpam-6970	331	2	proposed	propose	VERB
ejpam-6970	331	3	methodology	methodology	NOUN
ejpam-6970	331	4	used	use	VERB
ejpam-6970	331	5	the	the	DET
ejpam-6970	331	6	laplace	laplace	NOUN
ejpam-6970	331	7	transform	transform	NOUN
ejpam-6970	331	8	to	to	PART
ejpam-6970	331	9	convert	convert	VERB
ejpam-6970	331	10	the	the	DET
ejpam-6970	331	11	non	non	ADJ
ejpam-6970	331	12	-	-	ADJ
ejpam-6970	331	13	local	local	ADJ
ejpam-6970	331	14	fractional	fractional	ADJ
ejpam-6970	331	15	order	order	NOUN
ejpam-6970	331	16	complex	complex	ADJ
ejpam-6970	331	17	problem	problem	NOUN
ejpam-6970	331	18	into	into	ADP
ejpam-6970	331	19	a	a	DET
ejpam-6970	331	20	simple	simple	ADJ
ejpam-6970	331	21	algebraic	algebraic	ADJ
ejpam-6970	331	22	equation	equation	NOUN
ejpam-6970	331	23	.	.	PUNCT
ejpam-6970	332	1	the	the	DET
ejpam-6970	332	2	important	important	ADJ
ejpam-6970	332	3	step	step	NOUN
ejpam-6970	332	4	of	of	ADP
ejpam-6970	332	5	inverting	invert	VERB
ejpam-6970	332	6	this	this	DET
ejpam-6970	332	7	solution	solution	NOUN
ejpam-6970	332	8	back	back	ADV
ejpam-6970	332	9	to	to	ADP
ejpam-6970	332	10	the	the	DET
ejpam-6970	332	11	time	time	NOUN
ejpam-6970	332	12	domain	domain	NOUN
ejpam-6970	332	13	was	be	AUX
ejpam-6970	332	14	performed	perform	VERB
ejpam-6970	332	15	using	use	VERB
ejpam-6970	332	16	two	two	NUM
ejpam-6970	332	17	highly	highly	ADV
ejpam-6970	332	18	accurate	accurate	ADJ
ejpam-6970	332	19	numerical	numerical	ADJ
ejpam-6970	332	20	techniques	technique	NOUN
ejpam-6970	332	21	:	:	PUNCT
ejpam-6970	332	22	the	the	DET
ejpam-6970	332	23	gm	gm	PROPN
ejpam-6970	332	24	and	and	CCONJ
ejpam-6970	332	25	the	the	DET
ejpam-6970	332	26	itm	itm	NOUN
ejpam-6970	332	27	.	.	PUNCT
ejpam-6970	333	1	to	to	PART
ejpam-6970	333	2	validate	validate	VERB
ejpam-6970	333	3	and	and	CCONJ
ejpam-6970	333	4	compare	compare	VERB
ejpam-6970	333	5	the	the	DET
ejpam-6970	333	6	performance	performance	NOUN
ejpam-6970	333	7	of	of	ADP
ejpam-6970	333	8	two	two	NUM
ejpam-6970	333	9	inversion	inversion	NOUN
ejpam-6970	333	10	methods	method	NOUN
ejpam-6970	333	11	numerical	numerical	ADJ
ejpam-6970	333	12	experiments	experiment	NOUN
ejpam-6970	333	13	were	be	AUX
ejpam-6970	333	14	conducted	conduct	VERB
ejpam-6970	333	15	.	.	PUNCT
ejpam-6970	334	1	the	the	DET
ejpam-6970	334	2	results	result	NOUN
ejpam-6970	334	3	clearly	clearly	ADV
ejpam-6970	334	4	showed	show	VERB
ejpam-6970	334	5	the	the	DET
ejpam-6970	334	6	convergence	convergence	NOUN
ejpam-6970	334	7	and	and	CCONJ
ejpam-6970	334	8	high	high	ADJ
ejpam-6970	334	9	accuracy	accuracy	NOUN
ejpam-6970	334	10	of	of	ADP
ejpam-6970	334	11	both	both	DET
ejpam-6970	334	12	methods	method	NOUN
ejpam-6970	334	13	as	as	SCONJ
ejpam-6970	334	14	indicated	indicate	VERB
ejpam-6970	334	15	by	by	ADP
ejpam-6970	334	16	lin	lin	PROPN
ejpam-6970	334	17	and	and	CCONJ
ejpam-6970	334	18	lrms	lrm	NOUN
ejpam-6970	334	19	error	error	NOUN
ejpam-6970	334	20	norms	norm	NOUN
ejpam-6970	334	21	for	for	ADP
ejpam-6970	334	22	each	each	DET
ejpam-6970	334	23	test	test	NOUN
ejpam-6970	334	24	problem	problem	NOUN
ejpam-6970	334	25	.	.	PUNCT
ejpam-6970	335	1	however	however	ADV
ejpam-6970	335	2	,	,	PUNCT
ejpam-6970	335	3	a	a	DET
ejpam-6970	335	4	comprehensive	comprehensive	ADJ
ejpam-6970	335	5	analysis	analysis	NOUN
ejpam-6970	335	6	demonstrated	demonstrate	VERB
ejpam-6970	335	7	that	that	SCONJ
ejpam-6970	335	8	the	the	DET
ejpam-6970	335	9	accuracy	accuracy	NOUN
ejpam-6970	335	10	of	of	ADP
ejpam-6970	335	11	itm	itm	NOUN
ejpam-6970	335	12	was	be	AUX
ejpam-6970	335	13	better	well	ADV
ejpam-6970	335	14	compared	compare	VERB
ejpam-6970	335	15	to	to	ADP
ejpam-6970	335	16	gm	gm	PROPN
ejpam-6970	335	17	.	.	PUNCT
ejpam-6970	336	1	overall	overall	ADV
ejpam-6970	336	2	,	,	PUNCT
ejpam-6970	336	3	the	the	DET
ejpam-6970	336	4	proposed	propose	VERB
ejpam-6970	336	5	lt	lt	NOUN
ejpam-6970	336	6	-	-	PUNCT
ejpam-6970	336	7	based	base	VERB
ejpam-6970	336	8	numerical	numerical	ADJ
ejpam-6970	336	9	method	method	NOUN
ejpam-6970	336	10	proves	prove	VERB
ejpam-6970	336	11	out	out	ADP
ejpam-6970	336	12	to	to	PART
ejpam-6970	336	13	be	be	AUX
ejpam-6970	336	14	a	a	DET
ejpam-6970	336	15	very	very	ADV
ejpam-6970	336	16	accurate	accurate	ADJ
ejpam-6970	336	17	and	and	CCONJ
ejpam-6970	336	18	flexible	flexible	ADJ
ejpam-6970	336	19	approach	approach	NOUN
ejpam-6970	336	20	,	,	PUNCT
ejpam-6970	336	21	particularly	particularly	ADV
ejpam-6970	336	22	when	when	SCONJ
ejpam-6970	336	23	the	the	DET
ejpam-6970	336	24	itm	itm	NOUN
ejpam-6970	336	25	and	and	CCONJ
ejpam-6970	336	26	gm	gm	PROPN
ejpam-6970	336	27	are	be	AUX
ejpam-6970	336	28	used	use	VERB
ejpam-6970	336	29	for	for	ADP
ejpam-6970	336	30	inversion	inversion	NOUN
ejpam-6970	336	31	.	.	PUNCT
ejpam-6970	337	1	further	far	ADV
ejpam-6970	337	2	,	,	PUNCT
ejpam-6970	337	3	in	in	ADP
ejpam-6970	337	4	addition	addition	NOUN
ejpam-6970	337	5	to	to	ADP
ejpam-6970	337	6	offering	offer	VERB
ejpam-6970	337	7	a	a	DET
ejpam-6970	337	8	reliable	reliable	ADJ
ejpam-6970	337	9	numerical	numerical	ADJ
ejpam-6970	337	10	solution	solution	NOUN
ejpam-6970	337	11	for	for	ADP
ejpam-6970	337	12	complex	complex	ADJ
ejpam-6970	337	13	fovides	fovide	NOUN
ejpam-6970	337	14	,	,	PUNCT
ejpam-6970	337	15	this	this	PRON
ejpam-6970	337	16	suggested	suggest	VERB
ejpam-6970	337	17	kamran	kamran	PROPN
ejpam-6970	337	18	et	et	PROPN
ejpam-6970	337	19	al	al	PROPN
ejpam-6970	337	20	.	.	PUNCT
ejpam-6970	337	21	/	/	SYM
ejpam-6970	337	22	eur	eur	PROPN
ejpam-6970	337	23	.	.	PUNCT
ejpam-6970	338	1	j.	j.	PROPN
ejpam-6970	338	2	pure	pure	PROPN
ejpam-6970	338	3	appl	appl	PROPN
ejpam-6970	338	4	.	.	PROPN
ejpam-6970	338	5	math	math	PROPN
ejpam-6970	338	6	,	,	PUNCT
ejpam-6970	338	7	18	18	NUM
ejpam-6970	338	8	(	(	PUNCT
ejpam-6970	338	9	4	4	NUM
ejpam-6970	338	10	)	)	PUNCT
ejpam-6970	338	11	(	(	PUNCT
ejpam-6970	338	12	2025	2025	NUM
ejpam-6970	338	13	)	)	PUNCT
ejpam-6970	338	14	,	,	PUNCT
ejpam-6970	338	15	6970	6970	NUM
ejpam-6970	338	16	20	20	NUM
ejpam-6970	338	17	of	of	ADP
ejpam-6970	338	18	22	22	NUM
ejpam-6970	338	19	approach	approach	NOUN
ejpam-6970	338	20	establishes	establish	VERB
ejpam-6970	338	21	an	an	DET
ejpam-6970	338	22	efficient	efficient	ADJ
ejpam-6970	338	23	foundation	foundation	NOUN
ejpam-6970	338	24	for	for	ADP
ejpam-6970	338	25	further	further	ADJ
ejpam-6970	338	26	study	study	NOUN
ejpam-6970	338	27	.	.	PUNCT
ejpam-6970	339	1	the	the	DET
ejpam-6970	339	2	efficacy	efficacy	NOUN
ejpam-6970	339	3	of	of	ADP
ejpam-6970	339	4	this	this	DET
ejpam-6970	339	5	method	method	NOUN
ejpam-6970	339	6	allows	allow	VERB
ejpam-6970	339	7	it	it	PRON
ejpam-6970	339	8	to	to	PART
ejpam-6970	339	9	be	be	AUX
ejpam-6970	339	10	a	a	DET
ejpam-6970	339	11	suitable	suitable	ADJ
ejpam-6970	339	12	choice	choice	NOUN
ejpam-6970	339	13	for	for	ADP
ejpam-6970	339	14	systems	system	NOUN
ejpam-6970	339	15	in	in	ADP
ejpam-6970	339	16	physical	physical	ADJ
ejpam-6970	339	17	,	,	PUNCT
ejpam-6970	339	18	engineering	engineering	NOUN
ejpam-6970	339	19	,	,	PUNCT
ejpam-6970	339	20	and	and	CCONJ
ejpam-6970	339	21	biological	biological	ADJ
ejpam-6970	339	22	sciences	science	NOUN
ejpam-6970	339	23	.	.	PUNCT
ejpam-6970	340	1	in	in	ADP
ejpam-6970	340	2	future	future	ADJ
ejpam-6970	340	3	work	work	NOUN
ejpam-6970	340	4	,	,	PUNCT
ejpam-6970	340	5	we	we	PRON
ejpam-6970	340	6	plan	plan	VERB
ejpam-6970	340	7	to	to	PART
ejpam-6970	340	8	extend	extend	VERB
ejpam-6970	340	9	this	this	DET
ejpam-6970	340	10	methodology	methodology	NOUN
ejpam-6970	340	11	to	to	PART
ejpam-6970	340	12	solve	solve	VERB
ejpam-6970	340	13	more	more	ADV
ejpam-6970	340	14	complex	complex	ADJ
ejpam-6970	340	15	problems	problem	NOUN
ejpam-6970	340	16	,	,	PUNCT
ejpam-6970	340	17	such	such	ADJ
ejpam-6970	340	18	as	as	ADP
ejpam-6970	340	19	fovides	fovide	NOUN
ejpam-6970	340	20	with	with	ADP
ejpam-6970	340	21	delay	delay	NOUN
ejpam-6970	340	22	terms	term	NOUN
ejpam-6970	340	23	and	and	CCONJ
ejpam-6970	340	24	fovides	fovide	NOUN
ejpam-6970	340	25	with	with	ADP
ejpam-6970	340	26	variable	variable	ADJ
ejpam-6970	340	27	coefficients	coefficient	NOUN
ejpam-6970	340	28	.	.	PUNCT
ejpam-6970	341	1	acknowledgements	acknowledgement	VERB
ejpam-6970	341	2	the	the	DET
ejpam-6970	341	3	authors	author	NOUN
ejpam-6970	341	4	f.	f.	PROPN
ejpam-6970	341	5	hasan	hasan	PROPN
ejpam-6970	341	6	and	and	CCONJ
ejpam-6970	341	7	n.	n.	PROPN
ejpam-6970	341	8	mlaiki	mlaiki	PROPN
ejpam-6970	341	9	would	would	AUX
ejpam-6970	341	10	like	like	VERB
ejpam-6970	341	11	to	to	PART
ejpam-6970	341	12	thank	thank	VERB
ejpam-6970	341	13	prince	prince	PROPN
ejpam-6970	341	14	sultan	sultan	PROPN
ejpam-6970	341	15	university	university	PROPN
ejpam-6970	341	16	for	for	ADP
ejpam-6970	341	17	paying	pay	VERB
ejpam-6970	341	18	the	the	DET
ejpam-6970	341	19	apc	apc	NOUN
ejpam-6970	341	20	and	and	CCONJ
ejpam-6970	341	21	for	for	ADP
ejpam-6970	341	22	the	the	DET
ejpam-6970	341	23	support	support	NOUN
ejpam-6970	341	24	through	through	ADP
ejpam-6970	341	25	the	the	DET
ejpam-6970	341	26	tas	tas	PROPN
ejpam-6970	341	27	research	research	NOUN
ejpam-6970	341	28	lab	lab	NOUN
ejpam-6970	341	29	.	.	PUNCT
ejpam-6970	342	1	competing	compete	VERB
ejpam-6970	342	2	interests	interest	NOUN
ejpam-6970	342	3	there	there	PRON
ejpam-6970	342	4	are	be	VERB
ejpam-6970	342	5	no	no	DET
ejpam-6970	342	6	conflicting	conflict	VERB
ejpam-6970	342	7	interests	interest	NOUN
ejpam-6970	342	8	,	,	PUNCT
ejpam-6970	342	9	according	accord	VERB
ejpam-6970	342	10	to	to	ADP
ejpam-6970	342	11	the	the	DET
ejpam-6970	342	12	authors	author	NOUN
ejpam-6970	342	13	.	.	PUNCT
ejpam-6970	343	1	author	author	NOUN
ejpam-6970	343	2	’s	’s	PART
ejpam-6970	343	3	contributions	contribution	NOUN
ejpam-6970	343	4	each	each	DET
ejpam-6970	343	5	author	author	NOUN
ejpam-6970	343	6	contributed	contribute	VERB
ejpam-6970	343	7	equally	equally	ADV
ejpam-6970	343	8	to	to	ADP
ejpam-6970	343	9	the	the	DET
ejpam-6970	343	10	writing	writing	NOUN
ejpam-6970	343	11	of	of	ADP
ejpam-6970	343	12	this	this	DET
ejpam-6970	343	13	work	work	NOUN
ejpam-6970	343	14	,	,	PUNCT
ejpam-6970	343	15	and	and	CCONJ
ejpam-6970	343	16	they	they	PRON
ejpam-6970	343	17	have	have	AUX
ejpam-6970	343	18	all	all	ADV
ejpam-6970	343	19	read	read	VERB
ejpam-6970	343	20	and	and	CCONJ
ejpam-6970	343	21	approved	approve	VERB
ejpam-6970	343	22	the	the	DET
ejpam-6970	343	23	finished	finished	ADJ
ejpam-6970	343	24	work	work	NOUN
ejpam-6970	343	25	.	.	PUNCT
ejpam-6970	344	1	declarations	declaration	NOUN
ejpam-6970	344	2	ethical	ethical	ADJ
ejpam-6970	344	3	approval	approval	NOUN
ejpam-6970	344	4	not	not	PART
ejpam-6970	344	5	applicable	applicable	ADJ
ejpam-6970	344	6	.	.	PUNCT
ejpam-6970	345	1	funding	fund	VERB
ejpam-6970	345	2	this	this	DET
ejpam-6970	345	3	work	work	NOUN
ejpam-6970	345	4	did	do	AUX
ejpam-6970	345	5	not	not	PART
ejpam-6970	345	6	receive	receive	VERB
ejpam-6970	345	7	any	any	DET
ejpam-6970	345	8	external	external	ADJ
ejpam-6970	345	9	funding	funding	NOUN
ejpam-6970	345	10	.	.	PUNCT
ejpam-6970	346	1	references	reference	NOUN
ejpam-6970	346	2	[	[	X
ejpam-6970	346	3	1	1	NUM
ejpam-6970	346	4	]	]	PUNCT
ejpam-6970	346	5	richard	richard	PROPN
ejpam-6970	346	6	t	t	PROPN
ejpam-6970	346	7	baillie	baillie	PROPN
ejpam-6970	346	8	.	.	PUNCT
ejpam-6970	347	1	long	long	ADJ
ejpam-6970	347	2	memory	memory	NOUN
ejpam-6970	347	3	processes	process	NOUN
ejpam-6970	347	4	and	and	CCONJ
ejpam-6970	347	5	fractional	fractional	ADJ
ejpam-6970	347	6	integration	integration	NOUN
ejpam-6970	347	7	in	in	ADP
ejpam-6970	347	8	econometrics	econometrics	NOUN
ejpam-6970	347	9	.	.	PUNCT
ejpam-6970	348	1	journal	journal	PROPN
ejpam-6970	348	2	of	of	ADP
ejpam-6970	348	3	econometrics	econometric	NOUN
ejpam-6970	348	4	,	,	PUNCT
ejpam-6970	348	5	73(1):5–59	73(1):5–59	NOUN
ejpam-6970	348	6	,	,	PUNCT
ejpam-6970	348	7	1996	1996	NUM
ejpam-6970	348	8	.	.	PUNCT
ejpam-6970	349	1	[	[	X
ejpam-6970	349	2	2	2	X
ejpam-6970	349	3	]	]	X
ejpam-6970	349	4	vasily	vasily	NOUN
ejpam-6970	349	5	e	e	NOUN
ejpam-6970	349	6	tarasov	tarasov	NOUN
ejpam-6970	349	7	.	.	PUNCT
ejpam-6970	350	1	fractional	fractional	ADJ
ejpam-6970	350	2	integro	integro	ADJ
ejpam-6970	350	3	-	-	PUNCT
ejpam-6970	350	4	differential	differential	NOUN
ejpam-6970	350	5	equations	equation	NOUN
ejpam-6970	350	6	for	for	ADP
ejpam-6970	350	7	electromagnetic	electromagnetic	ADJ
ejpam-6970	350	8	waves	wave	NOUN
ejpam-6970	350	9	in	in	ADP
ejpam-6970	350	10	dielectric	dielectric	ADJ
ejpam-6970	350	11	media	medium	NOUN
ejpam-6970	350	12	.	.	PUNCT
ejpam-6970	351	1	theoretical	theoretical	ADJ
ejpam-6970	351	2	and	and	CCONJ
ejpam-6970	351	3	mathematical	mathematical	ADJ
ejpam-6970	351	4	physics	physics	NOUN
ejpam-6970	351	5	,	,	PUNCT
ejpam-6970	351	6	158(3):355–359	158(3):355–359	PROPN
ejpam-6970	351	7	,	,	PUNCT
ejpam-6970	351	8	2009	2009	NUM
ejpam-6970	351	9	.	.	PUNCT
ejpam-6970	352	1	[	[	X
ejpam-6970	352	2	3	3	X
ejpam-6970	352	3	]	]	X
ejpam-6970	352	4	gary	gary	PROPN
ejpam-6970	352	5	w	w	PROPN
ejpam-6970	352	6	bohannan	bohannan	PROPN
ejpam-6970	352	7	.	.	PUNCT
ejpam-6970	353	1	analog	analog	ADJ
ejpam-6970	353	2	fractional	fractional	ADJ
ejpam-6970	353	3	order	order	NOUN
ejpam-6970	353	4	controller	controller	NOUN
ejpam-6970	353	5	in	in	ADP
ejpam-6970	353	6	temperature	temperature	NOUN
ejpam-6970	353	7	and	and	CCONJ
ejpam-6970	353	8	motor	motor	NOUN
ejpam-6970	353	9	control	control	NOUN
ejpam-6970	353	10	applications	application	NOUN
ejpam-6970	353	11	.	.	PUNCT
ejpam-6970	354	1	journal	journal	NOUN
ejpam-6970	354	2	of	of	ADP
ejpam-6970	354	3	vibration	vibration	NOUN
ejpam-6970	354	4	and	and	CCONJ
ejpam-6970	354	5	control	control	NOUN
ejpam-6970	354	6	,	,	PUNCT
ejpam-6970	354	7	14(9	14(9	NUM
ejpam-6970	354	8	-	-	PUNCT
ejpam-6970	354	9	10):1487–1498	10):1487–1498	NUM
ejpam-6970	354	10	,	,	PUNCT
ejpam-6970	354	11	2008	2008	NUM
ejpam-6970	354	12	.	.	PUNCT
ejpam-6970	355	1	[	[	X
ejpam-6970	355	2	4	4	NUM
ejpam-6970	355	3	]	]	X
ejpam-6970	355	4	ronald	ronald	PROPN
ejpam-6970	355	5	l	l	PROPN
ejpam-6970	355	6	bagley	bagley	PROPN
ejpam-6970	355	7	and	and	CCONJ
ejpam-6970	355	8	peter	peter	PROPN
ejpam-6970	355	9	j	j	PROPN
ejpam-6970	355	10	torvik	torvik	PROPN
ejpam-6970	355	11	.	.	PUNCT
ejpam-6970	356	1	a	a	DET
ejpam-6970	356	2	theoretical	theoretical	ADJ
ejpam-6970	356	3	basis	basis	NOUN
ejpam-6970	356	4	for	for	ADP
ejpam-6970	356	5	the	the	DET
ejpam-6970	356	6	application	application	NOUN
ejpam-6970	356	7	of	of	ADP
ejpam-6970	356	8	fractional	fractional	ADJ
ejpam-6970	356	9	calculus	calculus	NOUN
ejpam-6970	356	10	to	to	ADP
ejpam-6970	356	11	viscoelasticity	viscoelasticity	NOUN
ejpam-6970	356	12	.	.	PUNCT
ejpam-6970	357	1	journal	journal	PROPN
ejpam-6970	357	2	of	of	ADP
ejpam-6970	357	3	rheology	rheology	NOUN
ejpam-6970	357	4	,	,	PUNCT
ejpam-6970	357	5	27(3):201–210	27(3):201–210	PROPN
ejpam-6970	357	6	,	,	PUNCT
ejpam-6970	357	7	1983	1983	NUM
ejpam-6970	357	8	.	.	PUNCT
ejpam-6970	358	1	[	[	X
ejpam-6970	358	2	5	5	NUM
ejpam-6970	358	3	]	]	PUNCT
ejpam-6970	358	4	lokenath	lokenath	NOUN
ejpam-6970	358	5	debnath	debnath	NOUN
ejpam-6970	358	6	.	.	PUNCT
ejpam-6970	359	1	recent	recent	ADJ
ejpam-6970	359	2	applications	application	NOUN
ejpam-6970	359	3	of	of	ADP
ejpam-6970	359	4	fractional	fractional	ADJ
ejpam-6970	359	5	calculus	calculus	NOUN
ejpam-6970	359	6	to	to	ADP
ejpam-6970	359	7	science	science	NOUN
ejpam-6970	359	8	and	and	CCONJ
ejpam-6970	359	9	engineering	engineering	NOUN
ejpam-6970	359	10	.	.	PUNCT
ejpam-6970	360	1	international	international	ADJ
ejpam-6970	360	2	journal	journal	PROPN
ejpam-6970	360	3	of	of	ADP
ejpam-6970	360	4	mathematics	mathematics	PROPN
ejpam-6970	360	5	and	and	CCONJ
ejpam-6970	360	6	mathematical	mathematical	ADJ
ejpam-6970	360	7	sciences	science	NOUN
ejpam-6970	360	8	,	,	PUNCT
ejpam-6970	360	9	2003(54):3413–3442	2003(54):3413–3442	NUM
ejpam-6970	360	10	,	,	PUNCT
ejpam-6970	360	11	2003	2003	NUM
ejpam-6970	360	12	.	.	PUNCT
ejpam-6970	361	1	[	[	X
ejpam-6970	361	2	6	6	NUM
ejpam-6970	361	3	]	]	X
ejpam-6970	361	4	kamal	kamal	PROPN
ejpam-6970	361	5	shah	shah	PROPN
ejpam-6970	361	6	,	,	PUNCT
ejpam-6970	361	7	manar	manar	PROPN
ejpam-6970	361	8	a	a	DET
ejpam-6970	361	9	alqudah	alqudah	PROPN
ejpam-6970	361	10	,	,	PUNCT
ejpam-6970	361	11	fahd	fahd	PROPN
ejpam-6970	361	12	jarad	jarad	PROPN
ejpam-6970	361	13	,	,	PUNCT
ejpam-6970	361	14	and	and	CCONJ
ejpam-6970	361	15	thabet	thabet	ADJ
ejpam-6970	361	16	abdeljawad	abdeljawad	NOUN
ejpam-6970	361	17	.	.	PUNCT
ejpam-6970	362	1	semianalytical	semianalytical	ADJ
ejpam-6970	362	2	study	study	NOUN
ejpam-6970	362	3	of	of	ADP
ejpam-6970	362	4	pine	pine	ADJ
ejpam-6970	362	5	wilt	wilt	ADJ
ejpam-6970	362	6	disease	disease	NOUN
ejpam-6970	362	7	model	model	NOUN
ejpam-6970	362	8	with	with	ADP
ejpam-6970	362	9	convex	convex	ADJ
ejpam-6970	362	10	rate	rate	NOUN
ejpam-6970	362	11	under	under	ADP
ejpam-6970	362	12	caputo	caputo	PROPN
ejpam-6970	362	13	–	–	PUNCT
ejpam-6970	362	14	febrizio	febrizio	NOUN
ejpam-6970	362	15	fractional	fractional	ADJ
ejpam-6970	362	16	order	order	NOUN
ejpam-6970	362	17	derivative	derivative	NOUN
ejpam-6970	362	18	.	.	PUNCT
ejpam-6970	363	1	chaos	chaos	NOUN
ejpam-6970	363	2	,	,	PUNCT
ejpam-6970	363	3	solitons	soliton	NOUN
ejpam-6970	363	4	&	&	CCONJ
ejpam-6970	363	5	fractals	fractal	NOUN
ejpam-6970	363	6	,	,	PUNCT
ejpam-6970	363	7	135:109754	135:109754	NUM
ejpam-6970	363	8	,	,	PUNCT
ejpam-6970	363	9	2020	2020	NUM
ejpam-6970	363	10	.	.	PUNCT
ejpam-6970	364	1	kamran	kamran	PROPN
ejpam-6970	364	2	et	et	PROPN
ejpam-6970	364	3	al	al	PROPN
ejpam-6970	364	4	.	.	PUNCT
ejpam-6970	364	5	/	/	SYM
ejpam-6970	364	6	eur	eur	PROPN
ejpam-6970	364	7	.	.	PUNCT
ejpam-6970	365	1	j.	j.	PROPN
ejpam-6970	365	2	pure	pure	PROPN
ejpam-6970	365	3	appl	appl	PROPN
ejpam-6970	365	4	.	.	PROPN
ejpam-6970	365	5	math	math	PROPN
ejpam-6970	365	6	,	,	PUNCT
ejpam-6970	365	7	18	18	NUM
ejpam-6970	365	8	(	(	PUNCT
ejpam-6970	365	9	4	4	NUM
ejpam-6970	365	10	)	)	PUNCT
ejpam-6970	365	11	(	(	PUNCT
ejpam-6970	365	12	2025	2025	NUM
ejpam-6970	365	13	)	)	PUNCT
ejpam-6970	365	14	,	,	PUNCT
ejpam-6970	365	15	6970	6970	NUM
ejpam-6970	365	16	21	21	NUM
ejpam-6970	365	17	of	of	ADP
ejpam-6970	365	18	22	22	NUM
ejpam-6970	366	1	[	[	X
ejpam-6970	366	2	7	7	NUM
ejpam-6970	366	3	]	]	SYM
ejpam-6970	366	4	zubair	zubair	PROPN
ejpam-6970	366	5	ahmad	ahmad	PROPN
ejpam-6970	366	6	,	,	PUNCT
ejpam-6970	366	7	giuliano	giuliano	PROPN
ejpam-6970	366	8	bonanomi	bonanomi	PROPN
ejpam-6970	366	9	,	,	PUNCT
ejpam-6970	366	10	angelamaria	angelamaria	PROPN
ejpam-6970	366	11	cardone	cardone	PROPN
ejpam-6970	366	12	,	,	PUNCT
ejpam-6970	366	13	annalisa	annalisa	PROPN
ejpam-6970	366	14	iuorio	iuorio	PROPN
ejpam-6970	366	15	,	,	PUNCT
ejpam-6970	366	16	gerardo	gerardo	PROPN
ejpam-6970	366	17	toraldo	toraldo	NOUN
ejpam-6970	366	18	,	,	PUNCT
ejpam-6970	366	19	and	and	CCONJ
ejpam-6970	366	20	francesco	francesco	PROPN
ejpam-6970	366	21	giannino	giannino	PROPN
ejpam-6970	366	22	.	.	PUNCT
ejpam-6970	367	1	fractal	fractal	ADJ
ejpam-6970	367	2	-	-	PUNCT
ejpam-6970	367	3	fractional	fractional	ADJ
ejpam-6970	367	4	sirs	sir	NOUN
ejpam-6970	367	5	model	model	NOUN
ejpam-6970	367	6	for	for	ADP
ejpam-6970	367	7	the	the	DET
ejpam-6970	367	8	disease	disease	NOUN
ejpam-6970	367	9	dynamics	dynamic	NOUN
ejpam-6970	367	10	in	in	ADP
ejpam-6970	367	11	both	both	DET
ejpam-6970	367	12	prey	prey	NOUN
ejpam-6970	367	13	and	and	CCONJ
ejpam-6970	367	14	predator	predator	NOUN
ejpam-6970	367	15	with	with	ADP
ejpam-6970	367	16	singular	singular	ADJ
ejpam-6970	367	17	and	and	CCONJ
ejpam-6970	367	18	nonsingular	nonsingular	ADJ
ejpam-6970	367	19	kernels	kernel	NOUN
ejpam-6970	367	20	.	.	PUNCT
ejpam-6970	368	1	journal	journal	PROPN
ejpam-6970	368	2	of	of	ADP
ejpam-6970	368	3	biological	biological	ADJ
ejpam-6970	368	4	systems	system	NOUN
ejpam-6970	368	5	,	,	PUNCT
ejpam-6970	368	6	32(04):1487–1520	32(04):1487–1520	NUM
ejpam-6970	368	7	,	,	PUNCT
ejpam-6970	368	8	2024	2024	NUM
ejpam-6970	368	9	.	.	PUNCT
ejpam-6970	369	1	[	[	X
ejpam-6970	369	2	8	8	NUM
ejpam-6970	369	3	]	]	X
ejpam-6970	369	4	zubair	zubair	PROPN
ejpam-6970	369	5	ahmad	ahmad	PROPN
ejpam-6970	369	6	,	,	PUNCT
ejpam-6970	369	7	sherif	sherif	VERB
ejpam-6970	369	8	a	a	DET
ejpam-6970	369	9	el	el	PROPN
ejpam-6970	369	10	-	-	PUNCT
ejpam-6970	369	11	kafrawy	kafrawy	PROPN
ejpam-6970	369	12	,	,	PUNCT
ejpam-6970	369	13	thamir	thamir	VERB
ejpam-6970	369	14	a	a	DET
ejpam-6970	369	15	alandijany	alandijany	ADJ
ejpam-6970	369	16	,	,	PUNCT
ejpam-6970	369	17	francesco	francesco	PROPN
ejpam-6970	369	18	giannino	giannino	PROPN
ejpam-6970	369	19	,	,	PUNCT
ejpam-6970	369	20	ahmed	ahme	VERB
ejpam-6970	369	21	a	a	DET
ejpam-6970	369	22	mirza	mirza	PROPN
ejpam-6970	369	23	,	,	PUNCT
ejpam-6970	369	24	mai	mai	PROPN
ejpam-6970	369	25	m	m	PROPN
ejpam-6970	369	26	el	el	PROPN
ejpam-6970	369	27	-	-	PROPN
ejpam-6970	369	28	daly	daly	PROPN
ejpam-6970	369	29	,	,	PUNCT
ejpam-6970	369	30	arwa	arwa	ADP
ejpam-6970	369	31	a	a	DET
ejpam-6970	369	32	faizo	faizo	PROPN
ejpam-6970	369	33	,	,	PUNCT
ejpam-6970	369	34	leena	leena	PROPN
ejpam-6970	369	35	h	h	PROPN
ejpam-6970	369	36	bajrai	bajrai	PROPN
ejpam-6970	369	37	,	,	PUNCT
ejpam-6970	369	38	mohammad	mohammad	PROPN
ejpam-6970	369	39	amjad	amjad	PROPN
ejpam-6970	369	40	kamal	kamal	PROPN
ejpam-6970	369	41	,	,	PUNCT
ejpam-6970	369	42	and	and	CCONJ
ejpam-6970	369	43	esam	esam	PROPN
ejpam-6970	369	44	i	i	PROPN
ejpam-6970	369	45	azhar	azhar	PROPN
ejpam-6970	369	46	.	.	PUNCT
ejpam-6970	370	1	a	a	DET
ejpam-6970	370	2	global	global	ADJ
ejpam-6970	370	3	report	report	NOUN
ejpam-6970	370	4	on	on	ADP
ejpam-6970	370	5	the	the	DET
ejpam-6970	370	6	dynamics	dynamic	NOUN
ejpam-6970	370	7	of	of	ADP
ejpam-6970	370	8	covid-19	covid-19	PROPN
ejpam-6970	370	9	with	with	ADP
ejpam-6970	370	10	quarantine	quarantine	NOUN
ejpam-6970	370	11	and	and	CCONJ
ejpam-6970	370	12	hospitalization	hospitalization	NOUN
ejpam-6970	370	13	:	:	PUNCT
ejpam-6970	370	14	a	a	DET
ejpam-6970	370	15	fractional	fractional	ADJ
ejpam-6970	370	16	order	order	NOUN
ejpam-6970	370	17	model	model	NOUN
ejpam-6970	370	18	with	with	ADP
ejpam-6970	370	19	non	non	ADJ
ejpam-6970	370	20	-	-	ADJ
ejpam-6970	370	21	local	local	ADJ
ejpam-6970	370	22	kernel	kernel	NOUN
ejpam-6970	370	23	.	.	PUNCT
ejpam-6970	371	1	computational	computational	ADJ
ejpam-6970	371	2	biology	biology	NOUN
ejpam-6970	371	3	and	and	CCONJ
ejpam-6970	371	4	chemistry	chemistry	NOUN
ejpam-6970	371	5	,	,	PUNCT
ejpam-6970	371	6	98:107645	98:107645	NUM
ejpam-6970	371	7	,	,	PUNCT
ejpam-6970	371	8	2022	2022	NUM
ejpam-6970	371	9	.	.	PUNCT
ejpam-6970	372	1	[	[	X
ejpam-6970	372	2	9	9	NUM
ejpam-6970	372	3	]	]	X
ejpam-6970	372	4	sertan	sertan	PROPN
ejpam-6970	372	5	alkan	alkan	PROPN
ejpam-6970	372	6	and	and	CCONJ
ejpam-6970	372	7	veysel	veysel	PROPN
ejpam-6970	372	8	fuat	fuat	PROPN
ejpam-6970	372	9	hatipoglu	hatipoglu	PROPN
ejpam-6970	372	10	.	.	PUNCT
ejpam-6970	373	1	approximate	approximate	ADJ
ejpam-6970	373	2	solutions	solution	NOUN
ejpam-6970	373	3	of	of	ADP
ejpam-6970	373	4	volterra	volterra	NOUN
ejpam-6970	373	5	-	-	PUNCT
ejpam-6970	373	6	fredholm	fredholm	NOUN
ejpam-6970	373	7	integro	integro	ADJ
ejpam-6970	373	8	-	-	PUNCT
ejpam-6970	373	9	differential	differential	NOUN
ejpam-6970	373	10	equations	equation	NOUN
ejpam-6970	373	11	of	of	ADP
ejpam-6970	373	12	fractional	fractional	ADJ
ejpam-6970	373	13	order	order	NOUN
ejpam-6970	373	14	.	.	PUNCT
ejpam-6970	374	1	2017	2017	NUM
ejpam-6970	374	2	.	.	PUNCT
ejpam-6970	375	1	[	[	X
ejpam-6970	375	2	10	10	NUM
ejpam-6970	375	3	]	]	X
ejpam-6970	375	4	abbas	abbas	PROPN
ejpam-6970	375	5	saadatmandi	saadatmandi	PROPN
ejpam-6970	375	6	and	and	CCONJ
ejpam-6970	375	7	mehdi	mehdi	ADJ
ejpam-6970	375	8	dehghan	dehghan	PROPN
ejpam-6970	375	9	.	.	PUNCT
ejpam-6970	376	1	a	a	DET
ejpam-6970	376	2	legendre	legendre	NOUN
ejpam-6970	376	3	collocation	collocation	NOUN
ejpam-6970	376	4	method	method	NOUN
ejpam-6970	376	5	for	for	ADP
ejpam-6970	376	6	fractional	fractional	ADJ
ejpam-6970	376	7	integro	integro	ADJ
ejpam-6970	376	8	-	-	PUNCT
ejpam-6970	376	9	differential	differential	NOUN
ejpam-6970	376	10	equations	equation	NOUN
ejpam-6970	376	11	.	.	PUNCT
ejpam-6970	377	1	journal	journal	NOUN
ejpam-6970	377	2	of	of	ADP
ejpam-6970	377	3	vibration	vibration	NOUN
ejpam-6970	377	4	and	and	CCONJ
ejpam-6970	377	5	control	control	NOUN
ejpam-6970	377	6	,	,	PUNCT
ejpam-6970	377	7	17(13):2050	17(13):2050	NUM
ejpam-6970	377	8	–	–	PUNCT
ejpam-6970	377	9	2058	2058	NUM
ejpam-6970	377	10	,	,	PUNCT
ejpam-6970	377	11	2011	2011	NUM
ejpam-6970	377	12	.	.	PUNCT
ejpam-6970	378	1	[	[	X
ejpam-6970	378	2	11	11	NUM
ejpam-6970	378	3	]	]	X
ejpam-6970	378	4	dilek	dilek	PROPN
ejpam-6970	378	5	varol	varol	PROPN
ejpam-6970	378	6	bayram	bayram	PROPN
ejpam-6970	378	7	and	and	CCONJ
ejpam-6970	378	8	ayşegül	ayşegül	PROPN
ejpam-6970	378	9	daşcıoğlu	daşcıoğlu	PROPN
ejpam-6970	378	10	.	.	PUNCT
ejpam-6970	379	1	a	a	DET
ejpam-6970	379	2	method	method	NOUN
ejpam-6970	379	3	for	for	ADP
ejpam-6970	379	4	fractional	fractional	PROPN
ejpam-6970	379	5	volterra	volterra	PROPN
ejpam-6970	379	6	integrodifferential	integrodifferential	ADJ
ejpam-6970	379	7	equations	equation	NOUN
ejpam-6970	379	8	by	by	ADP
ejpam-6970	379	9	laguerre	laguerre	NOUN
ejpam-6970	379	10	polynomials	polynomial	NOUN
ejpam-6970	379	11	.	.	PUNCT
ejpam-6970	380	1	advances	advance	NOUN
ejpam-6970	380	2	in	in	ADP
ejpam-6970	380	3	difference	difference	NOUN
ejpam-6970	380	4	equations	equation	NOUN
ejpam-6970	380	5	,	,	PUNCT
ejpam-6970	380	6	2018(1):466	2018(1):466	NUM
ejpam-6970	380	7	,	,	PUNCT
ejpam-6970	380	8	2018	2018	NUM
ejpam-6970	380	9	.	.	PUNCT
ejpam-6970	381	1	[	[	X
ejpam-6970	381	2	12	12	NUM
ejpam-6970	381	3	]	]	X
ejpam-6970	381	4	dimple	dimple	ADJ
ejpam-6970	381	5	rani	rani	NOUN
ejpam-6970	381	6	and	and	CCONJ
ejpam-6970	381	7	vinod	vinod	PROPN
ejpam-6970	381	8	mishra	mishra	PROPN
ejpam-6970	381	9	.	.	PROPN
ejpam-6970	381	10	modification	modification	NOUN
ejpam-6970	381	11	of	of	ADP
ejpam-6970	381	12	laplace	laplace	NOUN
ejpam-6970	381	13	adomian	adomian	NOUN
ejpam-6970	381	14	decomposition	decomposition	NOUN
ejpam-6970	381	15	method	method	NOUN
ejpam-6970	381	16	for	for	ADP
ejpam-6970	381	17	solving	solve	VERB
ejpam-6970	381	18	nonlinear	nonlinear	ADJ
ejpam-6970	381	19	volterra	volterra	PROPN
ejpam-6970	381	20	integral	integral	ADJ
ejpam-6970	381	21	and	and	CCONJ
ejpam-6970	381	22	integro	integro	ADJ
ejpam-6970	381	23	-	-	PUNCT
ejpam-6970	381	24	differential	differential	NOUN
ejpam-6970	381	25	equations	equation	NOUN
ejpam-6970	381	26	based	base	VERB
ejpam-6970	381	27	on	on	ADP
ejpam-6970	381	28	newton	newton	PROPN
ejpam-6970	381	29	raphson	raphson	PROPN
ejpam-6970	381	30	formula	formula	NOUN
ejpam-6970	381	31	.	.	PUNCT
ejpam-6970	382	1	european	european	ADJ
ejpam-6970	382	2	journal	journal	PROPN
ejpam-6970	382	3	of	of	ADP
ejpam-6970	382	4	pure	pure	ADJ
ejpam-6970	382	5	and	and	CCONJ
ejpam-6970	382	6	applied	applied	ADJ
ejpam-6970	382	7	mathematics	mathematic	NOUN
ejpam-6970	382	8	,	,	PUNCT
ejpam-6970	382	9	11(1):202–214	11(1):202–214	NUM
ejpam-6970	382	10	,	,	PUNCT
ejpam-6970	382	11	2018	2018	NUM
ejpam-6970	382	12	.	.	PUNCT
ejpam-6970	383	1	[	[	X
ejpam-6970	383	2	13	13	NUM
ejpam-6970	383	3	]	]	PUNCT
ejpam-6970	383	4	fazal	fazal	PROPN
ejpam-6970	383	5	haq	haq	PROPN
ejpam-6970	383	6	,	,	PUNCT
ejpam-6970	383	7	kamal	kamal	PROPN
ejpam-6970	383	8	shah	shah	PROPN
ejpam-6970	383	9	,	,	PUNCT
ejpam-6970	383	10	ghaus	ghaus	PROPN
ejpam-6970	383	11	ur	ur	PROPN
ejpam-6970	383	12	rahman	rahman	PROPN
ejpam-6970	383	13	,	,	PUNCT
ejpam-6970	383	14	and	and	CCONJ
ejpam-6970	383	15	muhammad	muhammad	PROPN
ejpam-6970	383	16	shahzad	shahzad	PROPN
ejpam-6970	383	17	.	.	PUNCT
ejpam-6970	384	1	numerical	numerical	ADJ
ejpam-6970	384	2	solution	solution	NOUN
ejpam-6970	384	3	of	of	ADP
ejpam-6970	384	4	fractional	fractional	ADJ
ejpam-6970	384	5	order	order	NOUN
ejpam-6970	384	6	smoking	smoking	NOUN
ejpam-6970	384	7	model	model	NOUN
ejpam-6970	384	8	via	via	ADP
ejpam-6970	384	9	laplace	laplace	NOUN
ejpam-6970	384	10	adomian	adomian	NOUN
ejpam-6970	384	11	decomposition	decomposition	NOUN
ejpam-6970	384	12	method	method	NOUN
ejpam-6970	384	13	.	.	PUNCT
ejpam-6970	385	1	alexandria	alexandria	PROPN
ejpam-6970	385	2	engineering	engineering	PROPN
ejpam-6970	385	3	journal	journal	PROPN
ejpam-6970	385	4	,	,	PUNCT
ejpam-6970	385	5	57(2):1061–1069	57(2):1061–1069	NUM
ejpam-6970	385	6	,	,	PUNCT
ejpam-6970	385	7	2018	2018	NUM
ejpam-6970	385	8	.	.	PUNCT
ejpam-6970	386	1	[	[	X
ejpam-6970	386	2	14	14	NUM
ejpam-6970	386	3	]	]	X
ejpam-6970	386	4	yasir	yasir	PROPN
ejpam-6970	386	5	nawaz	nawaz	PROPN
ejpam-6970	386	6	.	.	PUNCT
ejpam-6970	387	1	variational	variational	ADJ
ejpam-6970	387	2	iteration	iteration	NOUN
ejpam-6970	387	3	method	method	NOUN
ejpam-6970	387	4	and	and	CCONJ
ejpam-6970	387	5	homotopy	homotopy	VERB
ejpam-6970	387	6	perturbation	perturbation	NOUN
ejpam-6970	387	7	method	method	NOUN
ejpam-6970	387	8	for	for	ADP
ejpam-6970	387	9	fourth	fourth	ADJ
ejpam-6970	387	10	-	-	PUNCT
ejpam-6970	387	11	order	order	NOUN
ejpam-6970	387	12	fractional	fractional	ADJ
ejpam-6970	387	13	integro	integro	ADJ
ejpam-6970	387	14	-	-	PUNCT
ejpam-6970	387	15	differential	differential	NOUN
ejpam-6970	387	16	equations	equation	NOUN
ejpam-6970	387	17	.	.	PUNCT
ejpam-6970	388	1	computers	computer	NOUN
ejpam-6970	388	2	&	&	CCONJ
ejpam-6970	388	3	mathematics	mathematics	PROPN
ejpam-6970	388	4	with	with	ADP
ejpam-6970	388	5	applications	application	NOUN
ejpam-6970	388	6	,	,	PUNCT
ejpam-6970	388	7	61(8):2330–2341	61(8):2330–2341	NUM
ejpam-6970	388	8	,	,	PUNCT
ejpam-6970	388	9	2011	2011	NUM
ejpam-6970	388	10	.	.	PUNCT
ejpam-6970	389	1	[	[	X
ejpam-6970	389	2	15	15	NUM
ejpam-6970	389	3	]	]	X
ejpam-6970	389	4	kamal	kamal	PROPN
ejpam-6970	389	5	shah	shah	PROPN
ejpam-6970	389	6	,	,	PUNCT
ejpam-6970	389	7	hammad	hammad	PROPN
ejpam-6970	389	8	khalil	khalil	PROPN
ejpam-6970	389	9	,	,	PUNCT
ejpam-6970	389	10	and	and	CCONJ
ejpam-6970	389	11	rahmat	rahmat	PROPN
ejpam-6970	389	12	ali	ali	PROPN
ejpam-6970	389	13	khan	khan	PROPN
ejpam-6970	389	14	.	.	PUNCT
ejpam-6970	390	1	analytical	analytical	ADJ
ejpam-6970	390	2	solutions	solution	NOUN
ejpam-6970	390	3	of	of	ADP
ejpam-6970	390	4	fractional	fractional	ADJ
ejpam-6970	390	5	order	order	NOUN
ejpam-6970	390	6	diffusion	diffusion	NOUN
ejpam-6970	390	7	equations	equation	NOUN
ejpam-6970	390	8	by	by	ADP
ejpam-6970	390	9	natural	natural	ADJ
ejpam-6970	390	10	transform	transform	NOUN
ejpam-6970	390	11	method	method	NOUN
ejpam-6970	390	12	.	.	PUNCT
ejpam-6970	391	1	iranian	iranian	ADJ
ejpam-6970	391	2	journal	journal	PROPN
ejpam-6970	391	3	of	of	ADP
ejpam-6970	391	4	science	science	NOUN
ejpam-6970	391	5	and	and	CCONJ
ejpam-6970	391	6	technology	technology	NOUN
ejpam-6970	391	7	,	,	PUNCT
ejpam-6970	391	8	transactions	transaction	VERB
ejpam-6970	391	9	a	a	DET
ejpam-6970	391	10	:	:	PUNCT
ejpam-6970	391	11	science	science	NOUN
ejpam-6970	391	12	,	,	PUNCT
ejpam-6970	391	13	42(3):1479–1490	42(3):1479–1490	NUM
ejpam-6970	391	14	,	,	PUNCT
ejpam-6970	391	15	2018	2018	NUM
ejpam-6970	391	16	.	.	PUNCT
ejpam-6970	392	1	[	[	X
ejpam-6970	392	2	16	16	NUM
ejpam-6970	392	3	]	]	PUNCT
ejpam-6970	392	4	emran	emran	NOUN
ejpam-6970	392	5	tohidi	tohidi	NOUN
ejpam-6970	392	6	,	,	PUNCT
ejpam-6970	392	7	mm	mm	NOUN
ejpam-6970	392	8	ezadkhah	ezadkhah	NOUN
ejpam-6970	392	9	,	,	PUNCT
ejpam-6970	392	10	and	and	CCONJ
ejpam-6970	392	11	s	s	VERB
ejpam-6970	392	12	shateyi	shateyi	NOUN
ejpam-6970	392	13	.	.	PUNCT
ejpam-6970	393	1	numerical	numerical	ADJ
ejpam-6970	393	2	solution	solution	NOUN
ejpam-6970	393	3	of	of	ADP
ejpam-6970	393	4	nonlinear	nonlinear	PROPN
ejpam-6970	393	5	fractional	fractional	PROPN
ejpam-6970	393	6	volterra	volterra	PROPN
ejpam-6970	393	7	integro	integro	PROPN
ejpam-6970	393	8	-	-	PUNCT
ejpam-6970	393	9	differential	differential	NOUN
ejpam-6970	393	10	equations	equation	NOUN
ejpam-6970	393	11	via	via	ADP
ejpam-6970	393	12	bernoulli	bernoulli	NOUN
ejpam-6970	393	13	polynomials	polynomial	NOUN
ejpam-6970	393	14	.	.	PUNCT
ejpam-6970	394	1	in	in	ADP
ejpam-6970	394	2	abstract	abstract	ADJ
ejpam-6970	394	3	and	and	CCONJ
ejpam-6970	394	4	applied	apply	VERB
ejpam-6970	394	5	analysis	analysis	NOUN
ejpam-6970	394	6	,	,	PUNCT
ejpam-6970	394	7	volume	volume	NOUN
ejpam-6970	394	8	2014	2014	NUM
ejpam-6970	394	9	,	,	PUNCT
ejpam-6970	394	10	page	page	NOUN
ejpam-6970	394	11	162896	162896	NUM
ejpam-6970	394	12	.	.	PUNCT
ejpam-6970	395	1	wiley	wiley	PROPN
ejpam-6970	395	2	online	online	PROPN
ejpam-6970	395	3	library	library	PROPN
ejpam-6970	395	4	,	,	PUNCT
ejpam-6970	395	5	2014	2014	NUM
ejpam-6970	395	6	.	.	PUNCT
ejpam-6970	396	1	[	[	X
ejpam-6970	396	2	17	17	NUM
ejpam-6970	396	3	]	]	SYM
ejpam-6970	396	4	ea	ea	NOUN
ejpam-6970	396	5	rawashdeh	rawashdeh	NOUN
ejpam-6970	396	6	.	.	PUNCT
ejpam-6970	397	1	legendre	legendre	PROPN
ejpam-6970	397	2	wavelets	wavelets	PROPN
ejpam-6970	397	3	method	method	NOUN
ejpam-6970	397	4	for	for	ADP
ejpam-6970	397	5	fractional	fractional	ADJ
ejpam-6970	397	6	integro	integro	ADJ
ejpam-6970	397	7	-	-	PUNCT
ejpam-6970	397	8	differential	differential	NOUN
ejpam-6970	397	9	equations	equation	NOUN
ejpam-6970	397	10	.	.	PUNCT
ejpam-6970	398	1	applied	apply	VERB
ejpam-6970	398	2	mathematical	mathematical	ADJ
ejpam-6970	398	3	sciences	sciences	PROPN
ejpam-6970	398	4	,	,	PUNCT
ejpam-6970	398	5	5(2):2467–2474	5(2):2467–2474	PROPN
ejpam-6970	398	6	,	,	PUNCT
ejpam-6970	398	7	2011	2011	NUM
ejpam-6970	398	8	.	.	PUNCT
ejpam-6970	399	1	[	[	X
ejpam-6970	399	2	18	18	NUM
ejpam-6970	399	3	]	]	X
ejpam-6970	399	4	ajay	ajay	PROPN
ejpam-6970	399	5	kumar	kumar	PROPN
ejpam-6970	399	6	,	,	PUNCT
ejpam-6970	399	7	vikas	vikas	PROPN
ejpam-6970	399	8	gupta	gupta	PROPN
ejpam-6970	399	9	,	,	PUNCT
ejpam-6970	399	10	and	and	CCONJ
ejpam-6970	399	11	saurabh	saurabh	PROPN
ejpam-6970	399	12	kumar	kumar	PROPN
ejpam-6970	399	13	.	.	PUNCT
ejpam-6970	400	1	a	a	DET
ejpam-6970	400	2	numerical	numerical	ADJ
ejpam-6970	400	3	approach	approach	NOUN
ejpam-6970	400	4	to	to	PART
ejpam-6970	400	5	solve	solve	VERB
ejpam-6970	400	6	the	the	DET
ejpam-6970	400	7	system	system	NOUN
ejpam-6970	400	8	of	of	ADP
ejpam-6970	400	9	fractional	fractional	ADJ
ejpam-6970	400	10	fredholm	fredholm	NOUN
ejpam-6970	400	11	–	–	PUNCT
ejpam-6970	400	12	volterra	volterra	NOUN
ejpam-6970	400	13	integro	integro	PROPN
ejpam-6970	400	14	-	-	PUNCT
ejpam-6970	400	15	differential	differential	NOUN
ejpam-6970	400	16	equations	equation	NOUN
ejpam-6970	400	17	using	use	VERB
ejpam-6970	400	18	rationalized	rationalize	VERB
ejpam-6970	400	19	haar	haar	NOUN
ejpam-6970	400	20	wavelets	wavelet	NOUN
ejpam-6970	400	21	.	.	PUNCT
ejpam-6970	401	1	mathematical	mathematical	ADJ
ejpam-6970	401	2	methods	method	NOUN
ejpam-6970	401	3	in	in	ADP
ejpam-6970	401	4	the	the	DET
ejpam-6970	401	5	applied	apply	VERB
ejpam-6970	401	6	sciences	science	NOUN
ejpam-6970	401	7	,	,	PUNCT
ejpam-6970	401	8	48:11067–11088	48:11067–11088	NUM
ejpam-6970	401	9	,	,	PUNCT
ejpam-6970	401	10	2025	2025	NUM
ejpam-6970	401	11	.	.	PUNCT
ejpam-6970	402	1	[	[	X
ejpam-6970	402	2	19	19	NUM
ejpam-6970	402	3	]	]	X
ejpam-6970	402	4	omar	omar	PROPN
ejpam-6970	402	5	abu	abu	PROPN
ejpam-6970	402	6	arqub	arqub	PROPN
ejpam-6970	402	7	and	and	CCONJ
ejpam-6970	402	8	banan	banan	PROPN
ejpam-6970	402	9	maayah	maayah	PROPN
ejpam-6970	402	10	.	.	PUNCT
ejpam-6970	403	1	fitted	fit	VERB
ejpam-6970	403	2	fractional	fractional	ADJ
ejpam-6970	403	3	reproducing	reproducing	NOUN
ejpam-6970	403	4	kernel	kernel	NOUN
ejpam-6970	403	5	algorithm	algorithm	NOUN
ejpam-6970	403	6	for	for	ADP
ejpam-6970	403	7	the	the	DET
ejpam-6970	403	8	numerical	numerical	ADJ
ejpam-6970	403	9	solutions	solution	NOUN
ejpam-6970	403	10	of	of	ADP
ejpam-6970	403	11	abc	abc	PROPN
ejpam-6970	403	12	–	–	PUNCT
ejpam-6970	403	13	fractional	fractional	PROPN
ejpam-6970	403	14	volterra	volterra	NOUN
ejpam-6970	403	15	integro	integro	PROPN
ejpam-6970	403	16	-	-	PUNCT
ejpam-6970	403	17	differential	differential	NOUN
ejpam-6970	403	18	equations	equation	NOUN
ejpam-6970	403	19	.	.	PUNCT
ejpam-6970	404	1	chaos	chaos	NOUN
ejpam-6970	404	2	,	,	PUNCT
ejpam-6970	404	3	solitons	soliton	NOUN
ejpam-6970	404	4	&	&	CCONJ
ejpam-6970	404	5	fractals	fractal	NOUN
ejpam-6970	404	6	,	,	PUNCT
ejpam-6970	404	7	126:394–402	126:394–402	NUM
ejpam-6970	404	8	,	,	PUNCT
ejpam-6970	404	9	2019	2019	NUM
ejpam-6970	404	10	.	.	PUNCT
ejpam-6970	405	1	[	[	X
ejpam-6970	405	2	20	20	NUM
ejpam-6970	405	3	]	]	PUNCT
ejpam-6970	405	4	xuefei	xuefei	PROPN
ejpam-6970	405	5	dai	dai	PROPN
ejpam-6970	405	6	,	,	PUNCT
ejpam-6970	405	7	chaoyue	chaoyue	PROPN
ejpam-6970	405	8	guan	guan	PROPN
ejpam-6970	405	9	,	,	PUNCT
ejpam-6970	405	10	and	and	CCONJ
ejpam-6970	405	11	jing	jing	PROPN
ejpam-6970	405	12	niu	niu	PROPN
ejpam-6970	405	13	.	.	PUNCT
ejpam-6970	406	1	an	an	DET
ejpam-6970	406	2	efficient	efficient	ADJ
ejpam-6970	406	3	numerical	numerical	ADJ
ejpam-6970	406	4	algorithm	algorithm	NOUN
ejpam-6970	406	5	for	for	ADP
ejpam-6970	406	6	solving	solve	VERB
ejpam-6970	406	7	nonlinear	nonlinear	ADJ
ejpam-6970	406	8	fractional	fractional	PROPN
ejpam-6970	406	9	volterra	volterra	PROPN
ejpam-6970	406	10	integro	integro	PROPN
ejpam-6970	406	11	-	-	PUNCT
ejpam-6970	406	12	differential	differential	NOUN
ejpam-6970	406	13	equation	equation	NOUN
ejpam-6970	406	14	.	.	PUNCT
ejpam-6970	407	1	computational	computational	ADJ
ejpam-6970	407	2	and	and	CCONJ
ejpam-6970	407	3	applied	apply	VERB
ejpam-6970	407	4	kamran	kamran	PROPN
ejpam-6970	407	5	et	et	PROPN
ejpam-6970	407	6	al	al	PROPN
ejpam-6970	407	7	.	.	PUNCT
ejpam-6970	407	8	/	/	SYM
ejpam-6970	407	9	eur	eur	PROPN
ejpam-6970	407	10	.	.	PUNCT
ejpam-6970	408	1	j.	j.	PROPN
ejpam-6970	408	2	pure	pure	PROPN
ejpam-6970	408	3	appl	appl	PROPN
ejpam-6970	408	4	.	.	PROPN
ejpam-6970	408	5	math	math	PROPN
ejpam-6970	408	6	,	,	PUNCT
ejpam-6970	408	7	18	18	NUM
ejpam-6970	408	8	(	(	PUNCT
ejpam-6970	408	9	4	4	NUM
ejpam-6970	408	10	)	)	PUNCT
ejpam-6970	408	11	(	(	PUNCT
ejpam-6970	408	12	2025	2025	NUM
ejpam-6970	408	13	)	)	PUNCT
ejpam-6970	408	14	,	,	PUNCT
ejpam-6970	408	15	6970	6970	NUM
ejpam-6970	408	16	22	22	NUM
ejpam-6970	408	17	of	of	ADP
ejpam-6970	408	18	22	22	NUM
ejpam-6970	408	19	mathematics	mathematic	NOUN
ejpam-6970	408	20	,	,	PUNCT
ejpam-6970	408	21	43(1):66	43(1):66	NUM
ejpam-6970	408	22	,	,	PUNCT
ejpam-6970	408	23	2024	2024	NUM
ejpam-6970	408	24	.	.	PUNCT
ejpam-6970	409	1	[	[	X
ejpam-6970	409	2	21	21	NUM
ejpam-6970	409	3	]	]	X
ejpam-6970	409	4	xiaohua	xiaohua	PROPN
ejpam-6970	409	5	ma	ma	PROPN
ejpam-6970	409	6	and	and	CCONJ
ejpam-6970	409	7	chengming	chengming	PROPN
ejpam-6970	409	8	huang	huang	PROPN
ejpam-6970	409	9	.	.	PROPN
ejpam-6970	410	1	numerical	numerical	PROPN
ejpam-6970	410	2	solution	solution	NOUN
ejpam-6970	410	3	of	of	ADP
ejpam-6970	410	4	fractional	fractional	ADJ
ejpam-6970	410	5	integrodifferential	integrodifferential	ADJ
ejpam-6970	410	6	equations	equation	NOUN
ejpam-6970	410	7	by	by	ADP
ejpam-6970	410	8	a	a	DET
ejpam-6970	410	9	hybrid	hybrid	ADJ
ejpam-6970	410	10	collocation	collocation	NOUN
ejpam-6970	410	11	method	method	NOUN
ejpam-6970	410	12	.	.	PUNCT
ejpam-6970	411	1	applied	apply	VERB
ejpam-6970	411	2	mathematics	mathematic	NOUN
ejpam-6970	411	3	and	and	CCONJ
ejpam-6970	411	4	computation	computation	NOUN
ejpam-6970	411	5	,	,	PUNCT
ejpam-6970	411	6	219(12):6750–6760	219(12):6750–6760	NUM
ejpam-6970	411	7	,	,	PUNCT
ejpam-6970	411	8	2013	2013	NUM
ejpam-6970	411	9	.	.	PUNCT
ejpam-6970	412	1	[	[	X
ejpam-6970	412	2	22	22	NUM
ejpam-6970	412	3	]	]	X
ejpam-6970	412	4	amr	amr	NOUN
ejpam-6970	412	5	mahdy	mahdy	NOUN
ejpam-6970	412	6	,	,	PUNCT
ejpam-6970	412	7	abbas	abbas	PROPN
ejpam-6970	412	8	s	s	PART
ejpam-6970	412	9	nagdy	nagdy	NOUN
ejpam-6970	412	10	,	,	PUNCT
ejpam-6970	412	11	and	and	CCONJ
ejpam-6970	412	12	doaa	doaa	VERB
ejpam-6970	412	13	sh	sh	PROPN
ejpam-6970	412	14	mohamed	mohamed	PROPN
ejpam-6970	412	15	.	.	PUNCT
ejpam-6970	413	1	solution	solution	NOUN
ejpam-6970	413	2	of	of	ADP
ejpam-6970	413	3	fractional	fractional	ADJ
ejpam-6970	413	4	integrodifferential	integrodifferential	ADJ
ejpam-6970	413	5	equations	equation	NOUN
ejpam-6970	413	6	using	use	VERB
ejpam-6970	413	7	least	least	ADJ
ejpam-6970	413	8	squares	square	NOUN
ejpam-6970	413	9	and	and	CCONJ
ejpam-6970	413	10	shifted	shift	VERB
ejpam-6970	413	11	legendre	legendre	PROPN
ejpam-6970	413	12	methods	method	NOUN
ejpam-6970	413	13	.	.	PUNCT
ejpam-6970	414	1	journal	journal	PROPN
ejpam-6970	414	2	of	of	ADP
ejpam-6970	414	3	applied	apply	VERB
ejpam-6970	414	4	mathematics	mathematic	NOUN
ejpam-6970	414	5	and	and	CCONJ
ejpam-6970	414	6	computational	computational	ADJ
ejpam-6970	414	7	mechanics	mechanic	NOUN
ejpam-6970	414	8	,	,	PUNCT
ejpam-6970	414	9	23(1):59–70	23(1):59–70	NUM
ejpam-6970	414	10	,	,	PUNCT
ejpam-6970	414	11	2024	2024	NUM
ejpam-6970	414	12	.	.	PUNCT
ejpam-6970	415	1	[	[	X
ejpam-6970	415	2	23	23	NUM
ejpam-6970	415	3	]	]	PUNCT
ejpam-6970	415	4	n	n	PRON
ejpam-6970	415	5	rajagopal	rajagopal	NOUN
ejpam-6970	415	6	,	,	PUNCT
ejpam-6970	415	7	s	s	PROPN
ejpam-6970	415	8	balaji	balaji	PROPN
ejpam-6970	415	9	,	,	PUNCT
ejpam-6970	415	10	r	r	NOUN
ejpam-6970	415	11	seethalakshmi	seethalakshmi	NOUN
ejpam-6970	415	12	,	,	PUNCT
ejpam-6970	415	13	and	and	CCONJ
ejpam-6970	415	14	vs	vs	ADP
ejpam-6970	415	15	balaji	balaji	PROPN
ejpam-6970	415	16	.	.	PUNCT
ejpam-6970	416	1	a	a	DET
ejpam-6970	416	2	new	new	ADJ
ejpam-6970	416	3	numerical	numerical	ADJ
ejpam-6970	416	4	method	method	NOUN
ejpam-6970	416	5	for	for	ADP
ejpam-6970	416	6	fractional	fractional	ADJ
ejpam-6970	416	7	order	order	NOUN
ejpam-6970	416	8	volterra	volterra	PROPN
ejpam-6970	416	9	integro	integro	PROPN
ejpam-6970	416	10	-	-	PUNCT
ejpam-6970	416	11	differential	differential	NOUN
ejpam-6970	416	12	equations	equation	NOUN
ejpam-6970	416	13	.	.	PUNCT
ejpam-6970	417	1	ain	ain	PROPN
ejpam-6970	417	2	shams	sham	VERB
ejpam-6970	417	3	engineering	engineering	NOUN
ejpam-6970	417	4	journal	journal	NOUN
ejpam-6970	417	5	,	,	PUNCT
ejpam-6970	417	6	11(1):171–177	11(1):171–177	NUM
ejpam-6970	417	7	,	,	PUNCT
ejpam-6970	417	8	2020	2020	NUM
ejpam-6970	417	9	.	.	PUNCT
ejpam-6970	418	1	[	[	X
ejpam-6970	418	2	24	24	NUM
ejpam-6970	418	3	]	]	X
ejpam-6970	418	4	pongsakorn	pongsakorn	ADJ
ejpam-6970	418	5	sunthrayuth	sunthrayuth	NOUN
ejpam-6970	418	6	,	,	PUNCT
ejpam-6970	418	7	roman	roman	PROPN
ejpam-6970	418	8	ullah	ullah	PROPN
ejpam-6970	418	9	,	,	PUNCT
ejpam-6970	418	10	adnan	adnan	PROPN
ejpam-6970	418	11	khan	khan	PROPN
ejpam-6970	418	12	,	,	PUNCT
ejpam-6970	418	13	rasool	rasool	NOUN
ejpam-6970	418	14	shah	shah	NOUN
ejpam-6970	418	15	,	,	PUNCT
ejpam-6970	418	16	jeevan	jeevan	PROPN
ejpam-6970	418	17	kafle	kafle	PROPN
ejpam-6970	418	18	,	,	PUNCT
ejpam-6970	418	19	ibrahim	ibrahim	PROPN
ejpam-6970	418	20	mahariq	mahariq	PROPN
ejpam-6970	418	21	,	,	PUNCT
ejpam-6970	418	22	and	and	CCONJ
ejpam-6970	418	23	fahd	fahd	PROPN
ejpam-6970	418	24	jarad	jarad	PROPN
ejpam-6970	418	25	.	.	PUNCT
ejpam-6970	419	1	numerical	numerical	ADJ
ejpam-6970	419	2	analysis	analysis	NOUN
ejpam-6970	419	3	of	of	ADP
ejpam-6970	419	4	the	the	DET
ejpam-6970	419	5	fractional	fractional	ADJ
ejpam-6970	419	6	-	-	PUNCT
ejpam-6970	419	7	order	order	NOUN
ejpam-6970	419	8	nonlinear	nonlinear	ADJ
ejpam-6970	419	9	system	system	NOUN
ejpam-6970	419	10	of	of	ADP
ejpam-6970	419	11	volterra	volterra	PROPN
ejpam-6970	419	12	integro	integro	PROPN
ejpam-6970	419	13	-	-	PUNCT
ejpam-6970	419	14	differential	differential	NOUN
ejpam-6970	419	15	equations	equation	NOUN
ejpam-6970	419	16	.	.	PUNCT
ejpam-6970	420	1	journal	journal	NOUN
ejpam-6970	420	2	of	of	ADP
ejpam-6970	420	3	function	function	NOUN
ejpam-6970	420	4	spaces	space	NOUN
ejpam-6970	420	5	,	,	PUNCT
ejpam-6970	420	6	2021(1):1537958	2021(1):1537958	NOUN
ejpam-6970	420	7	,	,	PUNCT
ejpam-6970	420	8	2021	2021	NUM
ejpam-6970	420	9	.	.	PUNCT
ejpam-6970	421	1	[	[	X
ejpam-6970	421	2	25	25	NUM
ejpam-6970	421	3	]	]	X
ejpam-6970	421	4	michele	michele	PROPN
ejpam-6970	421	5	caputo	caputo	PROPN
ejpam-6970	421	6	and	and	CCONJ
ejpam-6970	421	7	mauro	mauro	PROPN
ejpam-6970	421	8	fabrizio	fabrizio	PROPN
ejpam-6970	421	9	.	.	PUNCT
ejpam-6970	422	1	a	a	DET
ejpam-6970	422	2	new	new	ADJ
ejpam-6970	422	3	definition	definition	NOUN
ejpam-6970	422	4	of	of	ADP
ejpam-6970	422	5	fractional	fractional	ADJ
ejpam-6970	422	6	derivative	derivative	NOUN
ejpam-6970	422	7	without	without	ADP
ejpam-6970	422	8	singular	singular	ADJ
ejpam-6970	422	9	kernel	kernel	PROPN
ejpam-6970	422	10	.	.	PUNCT
ejpam-6970	423	1	progress	progress	NOUN
ejpam-6970	423	2	in	in	ADP
ejpam-6970	423	3	fractional	fractional	ADJ
ejpam-6970	423	4	differentiation	differentiation	NOUN
ejpam-6970	423	5	&	&	CCONJ
ejpam-6970	423	6	applications	application	NOUN
ejpam-6970	423	7	,	,	PUNCT
ejpam-6970	423	8	1(2):73–85	1(2):73–85	NUM
ejpam-6970	423	9	,	,	PUNCT
ejpam-6970	423	10	2015	2015	NUM
ejpam-6970	423	11	.	.	PUNCT
ejpam-6970	424	1	[	[	X
ejpam-6970	424	2	26	26	NUM
ejpam-6970	424	3	]	]	PUNCT
ejpam-6970	424	4	abdon	abdon	NOUN
ejpam-6970	424	5	atangana	atangana	PROPN
ejpam-6970	424	6	and	and	CCONJ
ejpam-6970	424	7	dumitru	dumitru	PROPN
ejpam-6970	424	8	baleanu	baleanu	NOUN
ejpam-6970	424	9	.	.	PUNCT
ejpam-6970	425	1	new	new	ADJ
ejpam-6970	425	2	fractional	fractional	ADJ
ejpam-6970	425	3	derivatives	derivative	NOUN
ejpam-6970	425	4	with	with	ADP
ejpam-6970	425	5	nonlocal	nonlocal	ADJ
ejpam-6970	425	6	and	and	CCONJ
ejpam-6970	425	7	non	non	ADJ
ejpam-6970	425	8	-	-	ADJ
ejpam-6970	425	9	singular	singular	ADJ
ejpam-6970	425	10	kernel	kernel	NOUN
ejpam-6970	425	11	:	:	PUNCT
ejpam-6970	425	12	theory	theory	NOUN
ejpam-6970	425	13	and	and	CCONJ
ejpam-6970	425	14	application	application	NOUN
ejpam-6970	425	15	to	to	PART
ejpam-6970	425	16	heat	heat	NOUN
ejpam-6970	425	17	transfer	transfer	NOUN
ejpam-6970	425	18	model	model	NOUN
ejpam-6970	425	19	.	.	PUNCT
ejpam-6970	426	1	thermal	thermal	ADJ
ejpam-6970	426	2	science	science	NOUN
ejpam-6970	426	3	,	,	PUNCT
ejpam-6970	426	4	20:763–769	20:763–769	PROPN
ejpam-6970	426	5	,	,	PUNCT
ejpam-6970	426	6	2016	2016	NUM
ejpam-6970	426	7	.	.	PUNCT
ejpam-6970	427	1	[	[	X
ejpam-6970	427	2	27	27	NUM
ejpam-6970	427	3	]	]	X
ejpam-6970	427	4	mohammed	mohammed	PROPN
ejpam-6970	427	5	al	al	PROPN
ejpam-6970	427	6	-	-	PUNCT
ejpam-6970	427	7	refai	refai	PROPN
ejpam-6970	427	8	and	and	CCONJ
ejpam-6970	427	9	dumitru	dumitru	PROPN
ejpam-6970	427	10	baleanu	baleanu	NOUN
ejpam-6970	427	11	.	.	PUNCT
ejpam-6970	428	1	on	on	ADP
ejpam-6970	428	2	an	an	DET
ejpam-6970	428	3	extension	extension	NOUN
ejpam-6970	428	4	of	of	ADP
ejpam-6970	428	5	the	the	DET
ejpam-6970	428	6	operator	operator	NOUN
ejpam-6970	428	7	with	with	ADP
ejpam-6970	428	8	mittag	mittag	ADJ
ejpam-6970	428	9	-	-	PUNCT
ejpam-6970	428	10	leffler	leffler	NOUN
ejpam-6970	428	11	kernel	kernel	NOUN
ejpam-6970	428	12	.	.	PUNCT
ejpam-6970	428	13	fractals	fractal	NOUN
ejpam-6970	428	14	,	,	PUNCT
ejpam-6970	428	15	30(05):2240129	30(05):2240129	NUM
ejpam-6970	428	16	,	,	PUNCT
ejpam-6970	428	17	2022	2022	NUM
ejpam-6970	428	18	.	.	PUNCT
ejpam-6970	429	1	[	[	X
ejpam-6970	429	2	28	28	NUM
ejpam-6970	429	3	]	]	X
ejpam-6970	429	4	wen	wen	PROPN
ejpam-6970	429	5	-	-	PROPN
ejpam-6970	429	6	hua	hua	PROPN
ejpam-6970	429	7	huang	huang	PROPN
ejpam-6970	429	8	,	,	PUNCT
ejpam-6970	429	9	muhammad	muhammad	PROPN
ejpam-6970	429	10	samraiz	samraiz	PROPN
ejpam-6970	429	11	,	,	PUNCT
ejpam-6970	429	12	ahsan	ahsan	PROPN
ejpam-6970	429	13	mehmood	mehmood	PROPN
ejpam-6970	429	14	,	,	PUNCT
ejpam-6970	429	15	dumitru	dumitru	PROPN
ejpam-6970	429	16	baleanu	baleanu	PROPN
ejpam-6970	429	17	,	,	PUNCT
ejpam-6970	429	18	gauhar	gauhar	PROPN
ejpam-6970	429	19	rahman	rahman	PROPN
ejpam-6970	429	20	,	,	PUNCT
ejpam-6970	429	21	and	and	CCONJ
ejpam-6970	429	22	saima	saima	PROPN
ejpam-6970	429	23	naheed	naheed	PROPN
ejpam-6970	429	24	.	.	PUNCT
ejpam-6970	430	1	modified	modify	VERB
ejpam-6970	430	2	atangana	atangana	PROPN
ejpam-6970	430	3	-	-	PUNCT
ejpam-6970	430	4	baleanu	baleanu	ADJ
ejpam-6970	430	5	fractional	fractional	ADJ
ejpam-6970	430	6	operators	operator	NOUN
ejpam-6970	430	7	involving	involve	VERB
ejpam-6970	430	8	generalized	generalize	VERB
ejpam-6970	430	9	mittag	mittag	ADJ
ejpam-6970	430	10	-	-	PUNCT
ejpam-6970	430	11	leffler	leffler	NOUN
ejpam-6970	430	12	function	function	NOUN
ejpam-6970	430	13	.	.	PUNCT
ejpam-6970	431	1	alexandria	alexandria	PROPN
ejpam-6970	431	2	engineering	engineering	PROPN
ejpam-6970	431	3	journal	journal	PROPN
ejpam-6970	431	4	,	,	PUNCT
ejpam-6970	431	5	75:639–648	75:639–648	PROPN
ejpam-6970	431	6	,	,	PUNCT
ejpam-6970	431	7	2023	2023	NUM
ejpam-6970	431	8	.	.	PUNCT
ejpam-6970	432	1	[	[	X
ejpam-6970	432	2	29	29	NUM
ejpam-6970	432	3	]	]	X
ejpam-6970	432	4	jac	jac	PROPN
ejpam-6970	432	5	weideman	weideman	NOUN
ejpam-6970	432	6	.	.	PUNCT
ejpam-6970	433	1	gauss	gauss	ADJ
ejpam-6970	433	2	–	–	PUNCT
ejpam-6970	433	3	hermite	hermite	ADJ
ejpam-6970	433	4	quadrature	quadrature	NOUN
ejpam-6970	433	5	for	for	ADP
ejpam-6970	433	6	the	the	DET
ejpam-6970	433	7	bromwich	bromwich	PROPN
ejpam-6970	433	8	integral	integral	PROPN
ejpam-6970	433	9	.	.	PUNCT
ejpam-6970	434	1	siam	siam	PROPN
ejpam-6970	434	2	journal	journal	PROPN
ejpam-6970	434	3	on	on	ADP
ejpam-6970	434	4	numerical	numerical	ADJ
ejpam-6970	434	5	analysis	analysis	NOUN
ejpam-6970	434	6	,	,	PUNCT
ejpam-6970	434	7	57(5):2200–2216	57(5):2200–2216	NUM
ejpam-6970	434	8	,	,	PUNCT
ejpam-6970	434	9	2019	2019	NUM
ejpam-6970	434	10	.	.	PUNCT
ejpam-6970	435	1	[	[	X
ejpam-6970	435	2	30	30	NUM
ejpam-6970	435	3	]	]	X
ejpam-6970	435	4	lloyd	lloyd	PROPN
ejpam-6970	435	5	n	n	PROPN
ejpam-6970	435	6	trefethen	trefethen	NOUN
ejpam-6970	435	7	.	.	PUNCT
ejpam-6970	436	1	exactness	exactness	NOUN
ejpam-6970	436	2	of	of	ADP
ejpam-6970	436	3	quadrature	quadrature	NOUN
ejpam-6970	436	4	formulas	formula	NOUN
ejpam-6970	436	5	.	.	PUNCT
ejpam-6970	437	1	siam	siam	PROPN
ejpam-6970	437	2	review	review	PROPN
ejpam-6970	437	3	,	,	PUNCT
ejpam-6970	437	4	64(1):132–150	64(1):132–150	PROPN
ejpam-6970	437	5	,	,	PUNCT
ejpam-6970	437	6	2022	2022	NUM
ejpam-6970	437	7	.	.	PUNCT
ejpam-6970	438	1	[	[	X
ejpam-6970	438	2	31	31	NUM
ejpam-6970	438	3	]	]	PUNCT
ejpam-6970	438	4	alan	alan	PROPN
ejpam-6970	438	5	talbot	talbot	PROPN
ejpam-6970	438	6	.	.	PUNCT
ejpam-6970	439	1	the	the	DET
ejpam-6970	439	2	accurate	accurate	ADJ
ejpam-6970	439	3	numerical	numerical	ADJ
ejpam-6970	439	4	inversion	inversion	NOUN
ejpam-6970	439	5	of	of	ADP
ejpam-6970	439	6	laplace	laplace	NOUN
ejpam-6970	439	7	transforms	transform	VERB
ejpam-6970	439	8	.	.	PUNCT
ejpam-6970	440	1	i	i	PRON
ejpam-6970	440	2	m	m	VERB
ejpam-6970	440	3	a	a	DET
ejpam-6970	440	4	journal	journal	NOUN
ejpam-6970	440	5	of	of	ADP
ejpam-6970	440	6	applied	apply	VERB
ejpam-6970	440	7	mathematics	mathematic	NOUN
ejpam-6970	440	8	,	,	PUNCT
ejpam-6970	440	9	23(1):97–120	23(1):97–120	NUM
ejpam-6970	440	10	,	,	PUNCT
ejpam-6970	440	11	1979	1979	NUM
ejpam-6970	440	12	.	.	PUNCT
ejpam-6970	441	1	[	[	X
ejpam-6970	441	2	32	32	NUM
ejpam-6970	441	3	]	]	X
ejpam-6970	441	4	benedict	benedict	NOUN
ejpam-6970	441	5	dingfelder	dingfelder	PROPN
ejpam-6970	441	6	and	and	CCONJ
ejpam-6970	441	7	jac	jac	PROPN
ejpam-6970	441	8	weideman	weideman	NOUN
ejpam-6970	441	9	.	.	PUNCT
ejpam-6970	442	1	an	an	DET
ejpam-6970	442	2	improved	improved	ADJ
ejpam-6970	442	3	talbot	talbot	PROPN
ejpam-6970	442	4	method	method	NOUN
ejpam-6970	442	5	for	for	ADP
ejpam-6970	442	6	numerical	numerical	ADJ
ejpam-6970	442	7	laplace	laplace	NOUN
ejpam-6970	442	8	transform	transform	NOUN
ejpam-6970	442	9	inversion	inversion	NOUN
ejpam-6970	442	10	.	.	PUNCT
ejpam-6970	443	1	numerical	numerical	ADJ
ejpam-6970	443	2	algorithms	algorithms	PROPN
ejpam-6970	443	3	,	,	PUNCT
ejpam-6970	443	4	68(1):167–183	68(1):167–183	NOUN
ejpam-6970	443	5	,	,	PUNCT
ejpam-6970	443	6	2015	2015	NUM
ejpam-6970	443	7	.	.	PUNCT