id	sid	tid	token	lemma	pos
ejpam-5087	1	1	european	european	PROPN
ejpam-5087	1	2	journal	journal	PROPN
ejpam-5087	1	3	of	of	ADP
ejpam-5087	1	4	pure	pure	ADJ
ejpam-5087	1	5	and	and	CCONJ
ejpam-5087	1	6	applied	apply	VERB
ejpam-5087	1	7	mathematics	mathematic	NOUN
ejpam-5087	1	8	vol	vol	NOUN
ejpam-5087	1	9	.	.	PROPN
ejpam-5087	2	1	17	17	NUM
ejpam-5087	2	2	,	,	PUNCT
ejpam-5087	2	3	no	no	INTJ
ejpam-5087	2	4	.	.	NOUN
ejpam-5087	2	5	2	2	NUM
ejpam-5087	2	6	,	,	PUNCT
ejpam-5087	2	7	2024	2024	NUM
ejpam-5087	2	8	,	,	PUNCT
ejpam-5087	2	9	1070	1070	NUM
ejpam-5087	2	10	-	-	SYM
ejpam-5087	2	11	1081	1081	NUM
ejpam-5087	2	12	issn	issn	PROPN
ejpam-5087	2	13	1307	1307	NUM
ejpam-5087	2	14	-	-	SYM
ejpam-5087	2	15	5543	5543	NUM
ejpam-5087	2	16	–	–	PUNCT
ejpam-5087	2	17	ejpam.com	ejpam.com	X
ejpam-5087	2	18	published	publish	VERB
ejpam-5087	2	19	by	by	ADP
ejpam-5087	2	20	new	new	PROPN
ejpam-5087	2	21	york	york	PROPN
ejpam-5087	2	22	business	business	PROPN
ejpam-5087	2	23	global	global	PROPN
ejpam-5087	2	24	adomian	adomian	NOUN
ejpam-5087	2	25	decomposition	decomposition	NOUN
ejpam-5087	2	26	method	method	NOUN
ejpam-5087	2	27	and	and	CCONJ
ejpam-5087	2	28	block	block	NOUN
ejpam-5087	2	29	by	by	ADP
ejpam-5087	2	30	block	block	NOUN
ejpam-5087	2	31	method	method	NOUN
ejpam-5087	2	32	for	for	ADP
ejpam-5087	2	33	solving	solve	VERB
ejpam-5087	2	34	nonlinear	nonlinear	ADJ
ejpam-5087	2	35	functional	functional	ADJ
ejpam-5087	2	36	volterra	volterra	NOUN
ejpam-5087	2	37	integral	integral	ADJ
ejpam-5087	2	38	equation	equation	NOUN
ejpam-5087	2	39	in	in	ADP
ejpam-5087	2	40	two	two	NUM
ejpam-5087	2	41	-	-	PUNCT
ejpam-5087	2	42	dimensions	dimension	NOUN
ejpam-5087	2	43	abeer	abeer	PROPN
ejpam-5087	2	44	m	m	PROPN
ejpam-5087	2	45	al	al	PROPN
ejpam-5087	2	46	-	-	PUNCT
ejpam-5087	2	47	bugami	bugami	PROPN
ejpam-5087	2	48	department	department	NOUN
ejpam-5087	2	49	of	of	ADP
ejpam-5087	2	50	mathematics	mathematics	PROPN
ejpam-5087	2	51	and	and	CCONJ
ejpam-5087	2	52	statistics	statistic	NOUN
ejpam-5087	2	53	,	,	PUNCT
ejpam-5087	2	54	college	college	NOUN
ejpam-5087	2	55	of	of	ADP
ejpam-5087	2	56	sciences	sciences	PROPN
ejpam-5087	2	57	,	,	PUNCT
ejpam-5087	2	58	taif	taif	PROPN
ejpam-5087	2	59	university	university	PROPN
ejpam-5087	2	60	,	,	PUNCT
ejpam-5087	2	61	p.o	p.o	PROPN
ejpam-5087	2	62	.	.	PROPN
ejpam-5087	2	63	box	box	PROPN
ejpam-5087	2	64	11099	11099	NUM
ejpam-5087	2	65	,	,	PUNCT
ejpam-5087	2	66	taif	taif	PROPN
ejpam-5087	2	67	21944	21944	NUM
ejpam-5087	2	68	,	,	PUNCT
ejpam-5087	3	1	saudi	saudi	PROPN
ejpam-5087	3	2	arabia	arabia	PROPN
ejpam-5087	3	3	abstract	abstract	NOUN
ejpam-5087	3	4	.	.	PUNCT
ejpam-5087	4	1	this	this	DET
ejpam-5087	4	2	work	work	NOUN
ejpam-5087	4	3	proposes	propose	VERB
ejpam-5087	4	4	a	a	DET
ejpam-5087	4	5	new	new	ADJ
ejpam-5087	4	6	definition	definition	NOUN
ejpam-5087	4	7	of	of	ADP
ejpam-5087	4	8	the	the	DET
ejpam-5087	4	9	nonlinear	nonlinear	ADJ
ejpam-5087	4	10	functional	functional	PROPN
ejpam-5087	4	11	volterra	volterra	PROPN
ejpam-5087	4	12	integral	integral	ADJ
ejpam-5087	4	13	equation	equation	NOUN
ejpam-5087	4	14	in	in	ADP
ejpam-5087	4	15	two	two	NUM
ejpam-5087	4	16	-	-	PUNCT
ejpam-5087	4	17	dimensions	dimension	NOUN
ejpam-5087	4	18	(	(	PUNCT
ejpam-5087	4	19	2d)of	2d)of	NUM
ejpam-5087	4	20	the	the	DET
ejpam-5087	4	21	second	second	ADJ
ejpam-5087	4	22	kind	kind	NOUN
ejpam-5087	4	23	with	with	ADP
ejpam-5087	4	24	continuous	continuous	ADJ
ejpam-5087	4	25	kernel	kernel	NOUN
ejpam-5087	4	26	.	.	PUNCT
ejpam-5087	5	1	furthermore	furthermore	ADV
ejpam-5087	5	2	,	,	PUNCT
ejpam-5087	5	3	the	the	DET
ejpam-5087	5	4	work	work	NOUN
ejpam-5087	5	5	is	be	AUX
ejpam-5087	5	6	concerned	concern	VERB
ejpam-5087	5	7	with	with	ADP
ejpam-5087	5	8	studying	study	VERB
ejpam-5087	5	9	this	this	DET
ejpam-5087	5	10	new	new	ADJ
ejpam-5087	5	11	equation	equation	NOUN
ejpam-5087	5	12	numerically	numerically	ADV
ejpam-5087	5	13	.	.	PUNCT
ejpam-5087	6	1	the	the	DET
ejpam-5087	6	2	existence	existence	NOUN
ejpam-5087	6	3	of	of	ADP
ejpam-5087	6	4	a	a	DET
ejpam-5087	6	5	unique	unique	ADJ
ejpam-5087	6	6	solution	solution	NOUN
ejpam-5087	6	7	preposition	preposition	NOUN
ejpam-5087	6	8	by	by	ADP
ejpam-5087	6	9	the	the	DET
ejpam-5087	6	10	equation	equation	NOUN
ejpam-5087	6	11	is	be	AUX
ejpam-5087	6	12	proven	prove	VERB
ejpam-5087	6	13	.	.	PUNCT
ejpam-5087	7	1	in	in	ADP
ejpam-5087	7	2	addition	addition	NOUN
ejpam-5087	7	3	,	,	PUNCT
ejpam-5087	7	4	the	the	DET
ejpam-5087	7	5	approximate	approximate	ADJ
ejpam-5087	7	6	solutions	solution	NOUN
ejpam-5087	7	7	are	be	AUX
ejpam-5087	7	8	obtained	obtain	VERB
ejpam-5087	7	9	by	by	ADP
ejpam-5087	7	10	two	two	NUM
ejpam-5087	7	11	powerful	powerful	ADJ
ejpam-5087	7	12	methods	method	NOUN
ejpam-5087	7	13	adomian	adomian	NOUN
ejpam-5087	7	14	decomposition	decomposition	NOUN
ejpam-5087	7	15	method	method	NOUN
ejpam-5087	7	16	(	(	PUNCT
ejpam-5087	7	17	adm	adm	PROPN
ejpam-5087	7	18	)	)	PUNCT
ejpam-5087	7	19	and	and	CCONJ
ejpam-5087	7	20	block	block	NOUN
ejpam-5087	7	21	by	by	ADP
ejpam-5087	7	22	block	block	NOUN
ejpam-5087	7	23	method	method	NOUN
ejpam-5087	7	24	(	(	PUNCT
ejpam-5087	7	25	bbm	bbm	PROPN
ejpam-5087	7	26	)	)	PUNCT
ejpam-5087	7	27	.	.	PUNCT
ejpam-5087	8	1	the	the	DET
ejpam-5087	8	2	given	give	VERB
ejpam-5087	8	3	numerical	numerical	ADJ
ejpam-5087	8	4	examples	example	NOUN
ejpam-5087	8	5	showed	show	VERB
ejpam-5087	8	6	the	the	DET
ejpam-5087	8	7	efficiency	efficiency	NOUN
ejpam-5087	8	8	and	and	CCONJ
ejpam-5087	8	9	accuracy	accuracy	NOUN
ejpam-5087	8	10	of	of	ADP
ejpam-5087	8	11	the	the	DET
ejpam-5087	8	12	introduced	introduce	VERB
ejpam-5087	8	13	methods	method	NOUN
ejpam-5087	8	14	.	.	PUNCT
ejpam-5087	9	1	2020	2020	NUM
ejpam-5087	9	2	mathematics	mathematic	NOUN
ejpam-5087	9	3	subject	subject	NOUN
ejpam-5087	9	4	classifications	classification	NOUN
ejpam-5087	9	5	:	:	PUNCT
ejpam-5087	9	6	34a12	34a12	NUM
ejpam-5087	9	7	,	,	PUNCT
ejpam-5087	9	8	65a05,65d15	65a05,65d15	NUM
ejpam-5087	9	9	key	key	ADJ
ejpam-5087	9	10	words	word	NOUN
ejpam-5087	9	11	and	and	CCONJ
ejpam-5087	9	12	phrases	phrase	NOUN
ejpam-5087	9	13	:	:	PUNCT
ejpam-5087	9	14	functional	functional	ADJ
ejpam-5087	9	15	integral	integral	ADJ
ejpam-5087	9	16	equation	equation	NOUN
ejpam-5087	9	17	,	,	PUNCT
ejpam-5087	9	18	adomian	adomian	NOUN
ejpam-5087	9	19	decomposition	decomposition	NOUN
ejpam-5087	9	20	method	method	NOUN
ejpam-5087	9	21	,	,	PUNCT
ejpam-5087	9	22	block	block	NOUN
ejpam-5087	9	23	by	by	ADP
ejpam-5087	9	24	block	block	NOUN
ejpam-5087	9	25	method	method	NOUN
ejpam-5087	9	26	1	1	NUM
ejpam-5087	9	27	.	.	PUNCT
ejpam-5087	9	28	introduction	introduction	NOUN
ejpam-5087	9	29	the	the	DET
ejpam-5087	9	30	nonlinear	nonlinear	ADJ
ejpam-5087	9	31	functional	functional	ADJ
ejpam-5087	9	32	integral	integral	ADJ
ejpam-5087	9	33	equation	equation	NOUN
ejpam-5087	9	34	is	be	AUX
ejpam-5087	9	35	the	the	DET
ejpam-5087	9	36	result	result	NOUN
ejpam-5087	9	37	of	of	ADP
ejpam-5087	9	38	numerous	numerous	ADJ
ejpam-5087	9	39	viscoelastic	viscoelastic	ADJ
ejpam-5087	9	40	material	material	NOUN
ejpam-5087	9	41	issues	issue	NOUN
ejpam-5087	9	42	in	in	ADP
ejpam-5087	9	43	the	the	DET
ejpam-5087	9	44	theories	theory	NOUN
ejpam-5087	9	45	of	of	ADP
ejpam-5087	9	46	elasticity	elasticity	NOUN
ejpam-5087	9	47	and	and	CCONJ
ejpam-5087	9	48	hydrodynamics	hydrodynamic	NOUN
ejpam-5087	9	49	.	.	PUNCT
ejpam-5087	10	1	the	the	DET
ejpam-5087	10	2	references	reference	NOUN
ejpam-5087	10	3	edited	edit	VERB
ejpam-5087	10	4	by	by	ADP
ejpam-5087	10	5	tricomi[9	tricomi[9	PROPN
ejpam-5087	10	6	]	]	PUNCT
ejpam-5087	10	7	,	,	PUNCT
ejpam-5087	10	8	hochastadt	hochastadt	NOUN
ejpam-5087	10	9	[	[	X
ejpam-5087	10	10	11	11	NUM
ejpam-5087	10	11	]	]	PUNCT
ejpam-5087	10	12	and	and	CCONJ
ejpam-5087	10	13	green	green	ADJ
ejpam-5087	10	14	[	[	X
ejpam-5087	10	15	10	10	NUM
ejpam-5087	10	16	]	]	PUNCT
ejpam-5087	10	17	contain	contain	VERB
ejpam-5087	10	18	many	many	ADJ
ejpam-5087	10	19	different	different	ADJ
ejpam-5087	10	20	methods	method	NOUN
ejpam-5087	10	21	to	to	PART
ejpam-5087	10	22	give	give	VERB
ejpam-5087	10	23	us	we	PRON
ejpam-5087	10	24	the	the	DET
ejpam-5087	10	25	way	way	NOUN
ejpam-5087	10	26	for	for	ADP
ejpam-5087	10	27	solving	solve	VERB
ejpam-5087	10	28	functional	functional	ADJ
ejpam-5087	10	29	integral	integral	ADJ
ejpam-5087	10	30	equation	equation	NOUN
ejpam-5087	10	31	analytically	analytically	ADV
ejpam-5087	10	32	.	.	PUNCT
ejpam-5087	11	1	in	in	ADP
ejpam-5087	11	2	practice	practice	NOUN
ejpam-5087	11	3	,	,	PUNCT
ejpam-5087	11	4	approximate	approximate	ADJ
ejpam-5087	11	5	methods	method	NOUN
ejpam-5087	11	6	are	be	AUX
ejpam-5087	11	7	needed	need	VERB
ejpam-5087	11	8	.	.	PUNCT
ejpam-5087	12	1	there	there	PRON
ejpam-5087	12	2	are	be	VERB
ejpam-5087	12	3	different	different	ADJ
ejpam-5087	12	4	methods	method	NOUN
ejpam-5087	12	5	available	available	ADJ
ejpam-5087	12	6	to	to	PART
ejpam-5087	12	7	guide	guide	VERB
ejpam-5087	12	8	us	we	PRON
ejpam-5087	12	9	towards	towards	ADP
ejpam-5087	12	10	obtaining	obtain	VERB
ejpam-5087	12	11	the	the	DET
ejpam-5087	12	12	numerical	numerical	ADJ
ejpam-5087	12	13	solution	solution	NOUN
ejpam-5087	12	14	.	.	PUNCT
ejpam-5087	13	1	the	the	DET
ejpam-5087	13	2	excellent	excellent	ADJ
ejpam-5087	13	3	expositions	exposition	NOUN
ejpam-5087	13	4	by	by	ADP
ejpam-5087	13	5	atkinson	atkinson	PROPN
ejpam-5087	13	6	[	[	X
ejpam-5087	13	7	5	5	NUM
ejpam-5087	13	8	]	]	PUNCT
ejpam-5087	13	9	,	,	PUNCT
ejpam-5087	13	10	linz	linz	PROPN
ejpam-5087	14	1	[	[	X
ejpam-5087	14	2	16	16	NUM
ejpam-5087	14	3	]	]	PUNCT
ejpam-5087	14	4	,	,	PUNCT
ejpam-5087	14	5	delves	delf	NOUN
ejpam-5087	14	6	and	and	CCONJ
ejpam-5087	14	7	mohamed	mohame	VERB
ejpam-5087	15	1	[	[	X
ejpam-5087	15	2	7	7	NUM
ejpam-5087	15	3	]	]	PUNCT
ejpam-5087	15	4	,	,	PUNCT
ejpam-5087	15	5	kumar	kumar	PROPN
ejpam-5087	16	1	[	[	X
ejpam-5087	16	2	15	15	NUM
ejpam-5087	16	3	]	]	PUNCT
ejpam-5087	16	4	,	,	PUNCT
ejpam-5087	16	5	[	[	X
ejpam-5087	16	6	14	14	NUM
ejpam-5087	16	7	]	]	PUNCT
ejpam-5087	16	8	are	be	AUX
ejpam-5087	16	9	recommended	recommend	VERB
ejpam-5087	16	10	reading	reading	NOUN
ejpam-5087	16	11	for	for	ADP
ejpam-5087	16	12	the	the	DET
ejpam-5087	16	13	interested	interested	ADJ
ejpam-5087	16	14	reader	reader	NOUN
ejpam-5087	16	15	.	.	PUNCT
ejpam-5087	17	1	the	the	DET
ejpam-5087	17	2	authors	author	NOUN
ejpam-5087	17	3	examined	examine	VERB
ejpam-5087	17	4	a	a	DET
ejpam-5087	17	5	group	group	NOUN
ejpam-5087	17	6	of	of	ADP
ejpam-5087	17	7	nonlinear	nonlinear	ADJ
ejpam-5087	17	8	functional	functional	ADJ
ejpam-5087	17	9	integral	integral	ADJ
ejpam-5087	17	10	equations	equation	NOUN
ejpam-5087	17	11	in	in	ADP
ejpam-5087	17	12	[	[	X
ejpam-5087	17	13	18	18	NUM
ejpam-5087	17	14	]	]	PUNCT
ejpam-5087	17	15	.	.	PUNCT
ejpam-5087	18	1	the	the	DET
ejpam-5087	18	2	adequate	adequate	ADJ
ejpam-5087	18	3	conditions	condition	NOUN
ejpam-5087	18	4	for	for	ADP
ejpam-5087	18	5	the	the	DET
ejpam-5087	18	6	existence	existence	NOUN
ejpam-5087	18	7	of	of	ADP
ejpam-5087	18	8	the	the	DET
ejpam-5087	18	9	lp	lp	NOUN
ejpam-5087	18	10	-	-	PUNCT
ejpam-5087	18	11	solution	solution	NOUN
ejpam-5087	18	12	of	of	ADP
ejpam-5087	18	13	a	a	DET
ejpam-5087	18	14	volterra	volterra	NOUN
ejpam-5087	18	15	functional	functional	ADJ
ejpam-5087	18	16	-	-	PUNCT
ejpam-5087	18	17	integral	integral	ADJ
ejpam-5087	18	18	problem	problem	NOUN
ejpam-5087	18	19	in	in	ADP
ejpam-5087	18	20	a	a	DET
ejpam-5087	18	21	banach	banach	NOUN
ejpam-5087	18	22	space	space	NOUN
ejpam-5087	18	23	were	be	AUX
ejpam-5087	18	24	examined	examine	VERB
ejpam-5087	18	25	by	by	ADP
ejpam-5087	18	26	aldona	aldona	PROPN
ejpam-5087	18	27	in	in	ADP
ejpam-5087	18	28	[	[	X
ejpam-5087	18	29	8	8	NUM
ejpam-5087	18	30	]	]	PUNCT
ejpam-5087	18	31	.	.	PUNCT
ejpam-5087	19	1	the	the	DET
ejpam-5087	19	2	variational	variational	ADJ
ejpam-5087	19	3	iteration	iteration	NOUN
ejpam-5087	19	4	method	method	NOUN
ejpam-5087	19	5	was	be	AUX
ejpam-5087	19	6	utilized	utilize	VERB
ejpam-5087	19	7	by	by	ADP
ejpam-5087	19	8	the	the	DET
ejpam-5087	19	9	authors	author	NOUN
ejpam-5087	19	10	in	in	ADP
ejpam-5087	19	11	[	[	X
ejpam-5087	19	12	6	6	NUM
ejpam-5087	19	13	]	]	PUNCT
ejpam-5087	19	14	to	to	PART
ejpam-5087	19	15	derive	derive	VERB
ejpam-5087	19	16	the	the	DET
ejpam-5087	19	17	numerical	numerical	ADJ
ejpam-5087	19	18	solution	solution	NOUN
ejpam-5087	19	19	for	for	ADP
ejpam-5087	19	20	the	the	DET
ejpam-5087	19	21	one	one	NUM
ejpam-5087	19	22	-	-	PUNCT
ejpam-5087	19	23	dimensional	dimensional	ADJ
ejpam-5087	19	24	functional	functional	ADJ
ejpam-5087	19	25	integral	integral	ADJ
ejpam-5087	19	26	equations	equation	NOUN
ejpam-5087	19	27	.	.	PUNCT
ejpam-5087	20	1	certain	certain	ADJ
ejpam-5087	20	2	conclusions	conclusion	NOUN
ejpam-5087	20	3	for	for	ADP
ejpam-5087	20	4	a	a	DET
ejpam-5087	20	5	volterra	volterra	NOUN
ejpam-5087	20	6	–	–	PUNCT
ejpam-5087	20	7	hammerstein	hammerstein	PROPN
ejpam-5087	20	8	integral	integral	ADJ
ejpam-5087	20	9	equation	equation	NOUN
ejpam-5087	20	10	were	be	AUX
ejpam-5087	20	11	established	establish	VERB
ejpam-5087	20	12	by	by	ADP
ejpam-5087	20	13	the	the	DET
ejpam-5087	20	14	authors	author	NOUN
ejpam-5087	20	15	in	in	ADP
ejpam-5087	20	16	[	[	NOUN
ejpam-5087	20	17	17].the	17].the	PRON
ejpam-5087	20	18	authors	author	NOUN
ejpam-5087	20	19	used	use	VERB
ejpam-5087	20	20	a	a	DET
ejpam-5087	20	21	numerical	numerical	ADJ
ejpam-5087	20	22	technique	technique	NOUN
ejpam-5087	20	23	based	base	VERB
ejpam-5087	20	24	on	on	ADP
ejpam-5087	20	25	the	the	DET
ejpam-5087	20	26	radial	radial	ADJ
ejpam-5087	20	27	basis	basis	NOUN
ejpam-5087	20	28	function	function	NOUN
ejpam-5087	20	29	in	in	ADP
ejpam-5087	20	30	[	[	X
ejpam-5087	20	31	12	12	NUM
ejpam-5087	20	32	]	]	PUNCT
ejpam-5087	20	33	to	to	PART
ejpam-5087	20	34	get	get	VERB
ejpam-5087	20	35	numerical	numerical	ADJ
ejpam-5087	20	36	solutions	solution	NOUN
ejpam-5087	20	37	of	of	ADP
ejpam-5087	20	38	the	the	DET
ejpam-5087	20	39	two	two	NUM
ejpam-5087	20	40	-	-	PUNCT
ejpam-5087	20	41	dimensional	dimensional	ADJ
ejpam-5087	20	42	doi	doi	NOUN
ejpam-5087	20	43	:	:	PUNCT
ejpam-5087	20	44	https://doi.org/10.29020/nybg.ejpam.v17i2.5087	https://doi.org/10.29020/nybg.ejpam.v17i2.5087	ADP
ejpam-5087	20	45	email	email	NOUN
ejpam-5087	20	46	address	address	NOUN
ejpam-5087	20	47	:	:	PUNCT
ejpam-5087	20	48	abeer101aa@yahoo.com	abeer101aa@yahoo.com	PROPN
ejpam-5087	20	49	(	(	PUNCT
ejpam-5087	20	50	a.	a.	PROPN
ejpam-5087	20	51	m.	m.	PROPN
ejpam-5087	20	52	al	al	PROPN
ejpam-5087	20	53	-	-	PUNCT
ejpam-5087	20	54	bugami	bugami	NOUN
ejpam-5087	20	55	)	)	PUNCT
ejpam-5087	20	56	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5087	20	57	1070	1070	NUM
ejpam-5087	21	1	©	©	ADP
ejpam-5087	21	2	2024	2024	NUM
ejpam-5087	21	3	ejpam	ejpam	NOUN
ejpam-5087	21	4	all	all	DET
ejpam-5087	21	5	rights	right	NOUN
ejpam-5087	21	6	reserved	reserve	VERB
ejpam-5087	21	7	.	.	PUNCT
ejpam-5087	22	1	a.	a.	PROPN
ejpam-5087	22	2	m.	m.	PROPN
ejpam-5087	22	3	al	al	PROPN
ejpam-5087	22	4	-	-	PROPN
ejpam-5087	22	5	bugami	bugami	PROPN
ejpam-5087	22	6	/	/	SYM
ejpam-5087	22	7	eur	eur	PROPN
ejpam-5087	22	8	.	.	PUNCT
ejpam-5087	23	1	j.	j.	PROPN
ejpam-5087	23	2	pure	pure	PROPN
ejpam-5087	23	3	appl	appl	PROPN
ejpam-5087	23	4	.	.	PROPN
ejpam-5087	23	5	math	math	PROPN
ejpam-5087	23	6	,	,	PUNCT
ejpam-5087	23	7	17	17	NUM
ejpam-5087	23	8	(	(	PUNCT
ejpam-5087	23	9	2	2	NUM
ejpam-5087	23	10	)	)	PUNCT
ejpam-5087	23	11	(	(	PUNCT
ejpam-5087	23	12	2024	2024	NUM
ejpam-5087	23	13	)	)	PUNCT
ejpam-5087	23	14	,	,	PUNCT
ejpam-5087	23	15	1070	1070	NUM
ejpam-5087	23	16	-	-	SYM
ejpam-5087	23	17	1081	1081	NUM
ejpam-5087	23	18	1071	1071	NUM
ejpam-5087	23	19	functional	functional	ADJ
ejpam-5087	23	20	linear	linear	ADJ
ejpam-5087	23	21	integral	integral	ADJ
ejpam-5087	23	22	equations	equation	NOUN
ejpam-5087	23	23	of	of	ADP
ejpam-5087	23	24	fredholm.al	fredholm.al	PROPN
ejpam-5087	23	25	-	-	ADJ
ejpam-5087	23	26	bugami	bugami	NOUN
ejpam-5087	23	27	conducted	conduct	VERB
ejpam-5087	23	28	a	a	DET
ejpam-5087	23	29	numerical	numerical	ADJ
ejpam-5087	23	30	study	study	NOUN
ejpam-5087	23	31	of	of	ADP
ejpam-5087	23	32	the	the	DET
ejpam-5087	23	33	two	two	NUM
ejpam-5087	23	34	-	-	PUNCT
ejpam-5087	23	35	dimensional	dimensional	ADJ
ejpam-5087	23	36	integral	integral	ADJ
ejpam-5087	23	37	equations	equation	NOUN
ejpam-5087	23	38	in	in	ADP
ejpam-5087	23	39	[	[	X
ejpam-5087	23	40	3	3	NUM
ejpam-5087	23	41	]	]	PUNCT
ejpam-5087	23	42	,	,	PUNCT
ejpam-5087	23	43	[	[	X
ejpam-5087	23	44	2	2	NUM
ejpam-5087	23	45	]	]	PUNCT
ejpam-5087	23	46	.	.	PUNCT
ejpam-5087	24	1	the	the	DET
ejpam-5087	24	2	mixed	mixed	ADJ
ejpam-5087	24	3	integral	integral	ADJ
ejpam-5087	24	4	equations	equation	NOUN
ejpam-5087	24	5	with	with	ADP
ejpam-5087	24	6	continuous	continuous	ADJ
ejpam-5087	24	7	and	and	CCONJ
ejpam-5087	24	8	singular	singular	ADJ
ejpam-5087	24	9	kernels	kernel	NOUN
ejpam-5087	24	10	were	be	AUX
ejpam-5087	24	11	examined	examine	VERB
ejpam-5087	24	12	by	by	ADP
ejpam-5087	24	13	the	the	DET
ejpam-5087	24	14	authors	author	NOUN
ejpam-5087	24	15	in	in	ADP
ejpam-5087	24	16	[	[	X
ejpam-5087	24	17	1],[13	1],[13	NOUN
ejpam-5087	24	18	]	]	X
ejpam-5087	24	19	,	,	PUNCT
ejpam-5087	24	20	[	[	X
ejpam-5087	24	21	4	4	NUM
ejpam-5087	24	22	]	]	PUNCT
ejpam-5087	24	23	.	.	PUNCT
ejpam-5087	25	1	using	use	VERB
ejpam-5087	25	2	the	the	DET
ejpam-5087	25	3	adm	adm	PROPN
ejpam-5087	25	4	and	and	CCONJ
ejpam-5087	25	5	bbm	bbm	PROPN
ejpam-5087	25	6	,	,	PUNCT
ejpam-5087	25	7	we	we	PRON
ejpam-5087	25	8	investigate	investigate	VERB
ejpam-5087	25	9	the	the	DET
ejpam-5087	25	10	novel	novel	ADJ
ejpam-5087	25	11	equation	equation	NOUN
ejpam-5087	25	12	for	for	ADP
ejpam-5087	25	13	the	the	DET
ejpam-5087	25	14	nonlinear	nonlinear	ADJ
ejpam-5087	25	15	functional	functional	ADJ
ejpam-5087	25	16	integral	integral	ADJ
ejpam-5087	25	17	equation	equation	NOUN
ejpam-5087	25	18	in	in	ADP
ejpam-5087	25	19	2d	2d	NUM
ejpam-5087	25	20	in	in	ADP
ejpam-5087	25	21	this	this	DET
ejpam-5087	25	22	work	work	NOUN
ejpam-5087	25	23	.	.	PUNCT
ejpam-5087	26	1	because	because	SCONJ
ejpam-5087	26	2	it	it	PRON
ejpam-5087	26	3	deals	deal	VERB
ejpam-5087	26	4	with	with	ADP
ejpam-5087	26	5	the	the	DET
ejpam-5087	26	6	examination	examination	NOUN
ejpam-5087	26	7	of	of	ADP
ejpam-5087	26	8	numerical	numerical	ADJ
ejpam-5087	26	9	solutions	solution	NOUN
ejpam-5087	26	10	for	for	ADP
ejpam-5087	26	11	nt	not	PART
ejpam-5087	26	12	-	-	PUNCT
ejpam-5087	26	13	dfvie	dfvie	ADJ
ejpam-5087	26	14	,	,	PUNCT
ejpam-5087	26	15	this	this	DET
ejpam-5087	26	16	work	work	NOUN
ejpam-5087	26	17	is	be	AUX
ejpam-5087	26	18	noteworthy	noteworthy	ADJ
ejpam-5087	26	19	.	.	PUNCT
ejpam-5087	27	1	consider	consider	VERB
ejpam-5087	27	2	the	the	DET
ejpam-5087	27	3	nt	not	PART
ejpam-5087	27	4	-	-	PUNCT
ejpam-5087	27	5	dfvie	dfvie	NOUN
ejpam-5087	27	6	.	.	PUNCT
ejpam-5087	28	1	µu(x	µu(x	NOUN
ejpam-5087	28	2	,	,	PUNCT
ejpam-5087	28	3	y	y	NOUN
ejpam-5087	28	4	)	)	PUNCT
ejpam-5087	29	1	=	=	SYM
ejpam-5087	29	2	g(x	g(x	NOUN
ejpam-5087	29	3	,	,	PUNCT
ejpam-5087	29	4	y	y	NOUN
ejpam-5087	29	5	)	)	PUNCT
ejpam-5087	30	1	+	+	CCONJ
ejpam-5087	30	2	f(x	f(x	PROPN
ejpam-5087	30	3	,	,	PUNCT
ejpam-5087	30	4	y	y	PROPN
ejpam-5087	30	5	,	,	PUNCT
ejpam-5087	30	6	∫	∫	PROPN
ejpam-5087	30	7	x	x	SYM
ejpam-5087	30	8	0	0	NUM
ejpam-5087	30	9	∫	∫	PROPN
ejpam-5087	30	10	y	y	PROPN
ejpam-5087	30	11	0	0	NUM
ejpam-5087	30	12	p(x	p(x	PROPN
ejpam-5087	30	13	,	,	PUNCT
ejpam-5087	30	14	y	y	PROPN
ejpam-5087	30	15	,	,	PUNCT
ejpam-5087	30	16	t	t	PROPN
ejpam-5087	30	17	,	,	PUNCT
ejpam-5087	30	18	s)θ(t	s)θ(t	VERB
ejpam-5087	30	19	,	,	PUNCT
ejpam-5087	30	20	s	s	X
ejpam-5087	30	21	,	,	PUNCT
ejpam-5087	30	22	u(t	u(t	NOUN
ejpam-5087	30	23	,	,	PUNCT
ejpam-5087	30	24	s))dtds	s))dtds	NOUN
ejpam-5087	30	25	)	)	PUNCT
ejpam-5087	30	26	(	(	PUNCT
ejpam-5087	30	27	1	1	X
ejpam-5087	30	28	)	)	PUNCT
ejpam-5087	30	29	the	the	DET
ejpam-5087	30	30	functionsg(x	functionsg(x	NOUN
ejpam-5087	30	31	,	,	PUNCT
ejpam-5087	30	32	y),f(x	y),f(x	PROPN
ejpam-5087	30	33	,	,	PUNCT
ejpam-5087	30	34	y	y	PROPN
ejpam-5087	30	35	,	,	PUNCT
ejpam-5087	30	36	v(x	v(x	PROPN
ejpam-5087	30	37	,	,	PUNCT
ejpam-5087	30	38	y))and	y))and	PROPN
ejpam-5087	30	39	θ(x	θ(x	PROPN
ejpam-5087	30	40	,	,	PUNCT
ejpam-5087	30	41	y	y	PROPN
ejpam-5087	30	42	,	,	PUNCT
ejpam-5087	30	43	u(x	u(x	PROPN
ejpam-5087	30	44	,	,	PUNCT
ejpam-5087	30	45	y))are	y))are	NOUN
ejpam-5087	30	46	given	give	VERB
ejpam-5087	30	47	analytical	analytical	ADJ
ejpam-5087	30	48	functions	function	NOUN
ejpam-5087	30	49	defined	define	VERB
ejpam-5087	30	50	,	,	PUNCT
ejpam-5087	30	51	respectively	respectively	ADV
ejpam-5087	30	52	,	,	PUNCT
ejpam-5087	30	53	andp(x	andp(x	PROPN
ejpam-5087	30	54	,	,	PUNCT
ejpam-5087	30	55	y	y	PROPN
ejpam-5087	30	56	,	,	PUNCT
ejpam-5087	30	57	t	t	PROPN
ejpam-5087	30	58	,	,	PUNCT
ejpam-5087	30	59	s	s	PART
ejpam-5087	30	60	)	)	PUNCT
ejpam-5087	30	61	is	be	AUX
ejpam-5087	30	62	the	the	DET
ejpam-5087	30	63	kernel	kernel	NOUN
ejpam-5087	30	64	of	of	ADP
ejpam-5087	30	65	(	(	PUNCT
ejpam-5087	30	66	1	1	NUM
ejpam-5087	30	67	)	)	PUNCT
ejpam-5087	30	68	,	,	PUNCT
ejpam-5087	30	69	p(x	p(x	PROPN
ejpam-5087	30	70	,	,	PUNCT
ejpam-5087	30	71	y	y	PROPN
ejpam-5087	30	72	,	,	PUNCT
ejpam-5087	30	73	t	t	PROPN
ejpam-5087	30	74	,	,	PUNCT
ejpam-5087	30	75	s)≥0	s)≥0	NOUN
ejpam-5087	30	76	,	,	PUNCT
ejpam-5087	30	77	and	and	CCONJ
ejpam-5087	30	78	u	u	NOUN
ejpam-5087	30	79	(	(	PUNCT
ejpam-5087	30	80	x	x	X
ejpam-5087	30	81	,	,	PUNCT
ejpam-5087	30	82	y)is	y)is	PROPN
ejpam-5087	30	83	the	the	DET
ejpam-5087	30	84	solution	solution	NOUN
ejpam-5087	30	85	to	to	PART
ejpam-5087	30	86	be	be	AUX
ejpam-5087	30	87	determined	determine	VERB
ejpam-5087	30	88	,	,	PUNCT
ejpam-5087	30	89	while	while	SCONJ
ejpam-5087	30	90	the	the	DET
ejpam-5087	30	91	constant	constant	ADJ
ejpam-5087	30	92	parameter	parameter	NOUN
ejpam-5087	30	93	µdefines	µdefine	VERB
ejpam-5087	30	94	the	the	DET
ejpam-5087	30	95	kind	kind	NOUN
ejpam-5087	30	96	of	of	ADP
ejpam-5087	30	97	the	the	DET
ejpam-5087	30	98	(	(	PUNCT
ejpam-5087	30	99	1	1	NUM
ejpam-5087	30	100	)	)	PUNCT
ejpam-5087	30	101	.	.	PUNCT
ejpam-5087	31	1	2	2	X
ejpam-5087	31	2	.	.	NUM
ejpam-5087	31	3	existences	existence	NOUN
ejpam-5087	31	4	and	and	CCONJ
ejpam-5087	31	5	uniqueness	uniqueness	NOUN
ejpam-5087	31	6	of	of	ADP
ejpam-5087	31	7	a	a	DET
ejpam-5087	31	8	solution	solution	NOUN
ejpam-5087	31	9	this	this	DET
ejpam-5087	31	10	section	section	NOUN
ejpam-5087	31	11	will	will	AUX
ejpam-5087	31	12	examine	examine	VERB
ejpam-5087	31	13	and	and	CCONJ
ejpam-5087	31	14	use	use	VERB
ejpam-5087	31	15	the	the	DET
ejpam-5087	31	16	picard	picard	NOUN
ejpam-5087	31	17	method	method	NOUN
ejpam-5087	31	18	to	to	PART
ejpam-5087	31	19	demonstrate	demonstrate	VERB
ejpam-5087	31	20	that	that	SCONJ
ejpam-5087	31	21	,	,	PUNCT
ejpam-5087	31	22	under	under	ADP
ejpam-5087	31	23	certain	certain	ADJ
ejpam-5087	31	24	circumstances	circumstance	NOUN
ejpam-5087	31	25	,	,	PUNCT
ejpam-5087	31	26	there	there	PRON
ejpam-5087	31	27	is	be	VERB
ejpam-5087	31	28	a	a	DET
ejpam-5087	31	29	unique	unique	ADJ
ejpam-5087	31	30	solution	solution	NOUN
ejpam-5087	31	31	to	to	ADP
ejpam-5087	31	32	(	(	PUNCT
ejpam-5087	31	33	1	1	NUM
ejpam-5087	31	34	)	)	PUNCT
ejpam-5087	31	35	.	.	PUNCT
ejpam-5087	32	1	we	we	PRON
ejpam-5087	32	2	assume	assume	VERB
ejpam-5087	32	3	the	the	DET
ejpam-5087	32	4	following	follow	VERB
ejpam-5087	32	5	conditions	condition	NOUN
ejpam-5087	32	6	to	to	PART
ejpam-5087	32	7	be	be	AUX
ejpam-5087	32	8	satisfied	satisfied	ADJ
ejpam-5087	32	9	:	:	PUNCT
ejpam-5087	32	10	1f(x	1f(x	NUM
ejpam-5087	32	11	,	,	PUNCT
ejpam-5087	32	12	y	y	PROPN
ejpam-5087	32	13	,	,	PUNCT
ejpam-5087	32	14	v	v	NOUN
ejpam-5087	32	15	(	(	PUNCT
ejpam-5087	32	16	x	x	NOUN
ejpam-5087	32	17	,	,	PUNCT
ejpam-5087	32	18	y))and	y))and	PROPN
ejpam-5087	32	19	θ(x	θ(x	PROPN
ejpam-5087	32	20	,	,	PUNCT
ejpam-5087	32	21	y	y	PROPN
ejpam-5087	32	22	,	,	PUNCT
ejpam-5087	32	23	u	u	NOUN
ejpam-5087	32	24	(	(	PUNCT
ejpam-5087	32	25	x	x	PROPN
ejpam-5087	32	26	,	,	PUNCT
ejpam-5087	32	27	y	y	NOUN
ejpam-5087	32	28	)	)	PUNCT
ejpam-5087	32	29	)	)	PUNCT
ejpam-5087	32	30	in	in	ADP
ejpam-5087	32	31	0	0	NUM
ejpam-5087	32	32	≤	≤	NUM
ejpam-5087	32	33	x	x	SYM
ejpam-5087	32	34	≤	≤	NUM
ejpam-5087	32	35	x	x	PUNCT
ejpam-5087	32	36	,	,	PUNCT
ejpam-5087	32	37	0	0	NUM
ejpam-5087	32	38	≤	≤	NUM
ejpam-5087	33	1	y	y	PROPN
ejpam-5087	33	2	≤	≤	NOUN
ejpam-5087	33	3	y	y	PROPN
ejpam-5087	33	4	<	<	X
ejpam-5087	33	5	∞	∞	PROPN
ejpam-5087	33	6	,	,	PUNCT
ejpam-5087	33	7	such	such	ADJ
ejpam-5087	33	8	that	that	SCONJ
ejpam-5087	33	9	{	{	PUNCT
ejpam-5087	33	10	∫	∫	PROPN
ejpam-5087	33	11	x	x	SYM
ejpam-5087	33	12	0	0	NUM
ejpam-5087	33	13	{	{	PUNCT
ejpam-5087	33	14	∫	∫	PROPN
ejpam-5087	33	15	y	y	PROPN
ejpam-5087	33	16	0	0	X
ejpam-5087	33	17	|f(x	|f(x	PROPN
ejpam-5087	33	18	,	,	PUNCT
ejpam-5087	33	19	y	y	PROPN
ejpam-5087	33	20	,	,	PUNCT
ejpam-5087	33	21	v(x	v(x	PROPN
ejpam-5087	33	22	,	,	PUNCT
ejpam-5087	33	23	y))|2	y))|2	PROPN
ejpam-5087	33	24	dx}1/2dy}1/2	dx}1/2dy}1/2	VERB
ejpam-5087	33	25	≤	≤	NOUN
ejpam-5087	33	26	a1	a1	NOUN
ejpam-5087	33	27	∥v∥	∥v∥	PROPN
ejpam-5087	33	28	,	,	PUNCT
ejpam-5087	33	29	and	and	CCONJ
ejpam-5087	33	30	{	{	PUNCT
ejpam-5087	33	31	∫	∫	PROPN
ejpam-5087	33	32	x	x	SYM
ejpam-5087	33	33	0	0	NUM
ejpam-5087	33	34	{	{	PUNCT
ejpam-5087	33	35	∫	∫	PROPN
ejpam-5087	33	36	y	y	PROPN
ejpam-5087	33	37	0	0	X
ejpam-5087	34	1	|θ(x	|θ(x	PROPN
ejpam-5087	34	2	,	,	PUNCT
ejpam-5087	34	3	y	y	PROPN
ejpam-5087	34	4	,	,	PUNCT
ejpam-5087	34	5	w(x	w(x	PROPN
ejpam-5087	34	6	,	,	PUNCT
ejpam-5087	34	7	y))|2	y))|2	PROPN
ejpam-5087	34	8	dx}1/2dy}1/2	dx}1/2dy}1/2	PROPN
ejpam-5087	34	9	≤	≤	PROPN
ejpam-5087	34	10	a2	a2	PROPN
ejpam-5087	34	11	∥w∥	∥w∥	NOUN
ejpam-5087	34	12	,	,	PUNCT
ejpam-5087	34	13	2the	2the	PRON
ejpam-5087	34	14	kernel	kernel	NOUN
ejpam-5087	34	15	p(x	p(x	PROPN
ejpam-5087	34	16	,	,	PUNCT
ejpam-5087	34	17	y	y	PROPN
ejpam-5087	34	18	,	,	PUNCT
ejpam-5087	34	19	t	t	PROPN
ejpam-5087	34	20	,	,	PUNCT
ejpam-5087	34	21	s)satisfies	s)satisfie	NOUN
ejpam-5087	34	22	:	:	PUNCT
ejpam-5087	34	23	p(x	p(x	PROPN
ejpam-5087	34	24	,	,	PUNCT
ejpam-5087	34	25	y	y	PROPN
ejpam-5087	34	26	,	,	PUNCT
ejpam-5087	34	27	t	t	PROPN
ejpam-5087	34	28	,	,	PUNCT
ejpam-5087	34	29	s	s	NOUN
ejpam-5087	34	30	)	)	PUNCT
ejpam-5087	34	31	≤	≤	NOUN
ejpam-5087	34	32	c	c	X
ejpam-5087	34	33	,	,	PUNCT
ejpam-5087	34	34	(	(	PUNCT
ejpam-5087	34	35	c	c	NOUN
ejpam-5087	34	36	is	be	AUX
ejpam-5087	34	37	a	a	DET
ejpam-5087	34	38	constant	constant	ADJ
ejpam-5087	34	39	)	)	PUNCT
ejpam-5087	34	40	3the	3the	NUM
ejpam-5087	34	41	two	two	NUM
ejpam-5087	34	42	continuous	continuous	ADJ
ejpam-5087	34	43	function	function	NOUN
ejpam-5087	34	44	f(x	f(x	PROPN
ejpam-5087	34	45	,	,	PUNCT
ejpam-5087	34	46	y	y	PROPN
ejpam-5087	34	47	,	,	PUNCT
ejpam-5087	34	48	v	v	NOUN
ejpam-5087	34	49	(	(	PUNCT
ejpam-5087	34	50	x	x	NOUN
ejpam-5087	34	51	,	,	PUNCT
ejpam-5087	34	52	y))and	y))and	PROPN
ejpam-5087	34	53	θ(x	θ(x	PROPN
ejpam-5087	34	54	,	,	PUNCT
ejpam-5087	34	55	y	y	PROPN
ejpam-5087	34	56	,	,	PUNCT
ejpam-5087	34	57	u	u	NOUN
ejpam-5087	34	58	(	(	PUNCT
ejpam-5087	34	59	x	x	PROPN
ejpam-5087	34	60	,	,	PUNCT
ejpam-5087	34	61	y	y	NOUN
ejpam-5087	34	62	)	)	PUNCT
ejpam-5087	34	63	)	)	PUNCT
ejpam-5087	34	64	satisfy	satisfy	VERB
ejpam-5087	34	65	the	the	DET
ejpam-5087	34	66	lipschitz	lipschitz	NOUN
ejpam-5087	34	67	condition	condition	NOUN
ejpam-5087	34	68	:	:	PUNCT
ejpam-5087	35	1	|f(x	|f(x	PROPN
ejpam-5087	35	2	,	,	PUNCT
ejpam-5087	35	3	y	y	PROPN
ejpam-5087	35	4	,	,	PUNCT
ejpam-5087	35	5	v1(x	v1(x	NOUN
ejpam-5087	35	6	,	,	PUNCT
ejpam-5087	35	7	y))−	y))−	NOUN
ejpam-5087	35	8	f(x	f(x	PROPN
ejpam-5087	35	9	,	,	PUNCT
ejpam-5087	35	10	y	y	PROPN
ejpam-5087	35	11	,	,	PUNCT
ejpam-5087	35	12	v2(x	v2(x	PROPN
ejpam-5087	35	13	,	,	PUNCT
ejpam-5087	35	14	y))|	y))|	PROPN
ejpam-5087	35	15	≤	≤	PROPN
ejpam-5087	35	16	b1	b1	PROPN
ejpam-5087	35	17	|v1	|v1	PROPN
ejpam-5087	35	18	−	−	PROPN
ejpam-5087	35	19	v2|	v2|	PROPN
ejpam-5087	35	20	;	;	PUNCT
ejpam-5087	35	21	∀v1	∀v1	ADV
ejpam-5087	35	22	,	,	PUNCT
ejpam-5087	35	23	v2	v2	PROPN
ejpam-5087	35	24	∈	∈	PROPN
ejpam-5087	35	25	(	(	PUNCT
ejpam-5087	35	26	−∞,∞	−∞,∞	NOUN
ejpam-5087	35	27	)	)	PUNCT
ejpam-5087	35	28	,	,	PUNCT
ejpam-5087	35	29	|θ(x	|θ(x	PROPN
ejpam-5087	35	30	,	,	PUNCT
ejpam-5087	35	31	y	y	PROPN
ejpam-5087	35	32	,	,	PUNCT
ejpam-5087	35	33	w1(x	w1(x	PROPN
ejpam-5087	35	34	,	,	PUNCT
ejpam-5087	35	35	y))−	y))−	PROPN
ejpam-5087	35	36	θ(x	θ(x	PROPN
ejpam-5087	35	37	,	,	PUNCT
ejpam-5087	35	38	y	y	PROPN
ejpam-5087	35	39	,	,	PUNCT
ejpam-5087	35	40	w2(x	w2(x	PROPN
ejpam-5087	35	41	,	,	PUNCT
ejpam-5087	35	42	y))|	y))|	PROPN
ejpam-5087	35	43	≤	≤	PROPN
ejpam-5087	35	44	b2	b2	PROPN
ejpam-5087	35	45	|w1	|w1	PROPN
ejpam-5087	35	46	−	−	PROPN
ejpam-5087	35	47	w2|	w2|	NOUN
ejpam-5087	35	48	;	;	PUNCT
ejpam-5087	35	49	∀w1	∀w1	NOUN
ejpam-5087	35	50	,	,	PUNCT
ejpam-5087	35	51	w2	w2	NOUN
ejpam-5087	35	52	∈	∈	PROPN
ejpam-5087	35	53	(	(	PUNCT
ejpam-5087	35	54	−∞,∞	−∞,∞	NOUN
ejpam-5087	35	55	)	)	PUNCT
ejpam-5087	35	56	,	,	PUNCT
ejpam-5087	35	57	whereb1,b2are	whereb1,b2are	VERB
ejpam-5087	35	58	lipchitz	lipchitz	PROPN
ejpam-5087	35	59	’s	’s	PART
ejpam-5087	35	60	constants	constant	NOUN
ejpam-5087	35	61	such	such	ADJ
ejpam-5087	35	62	that	that	SCONJ
ejpam-5087	35	63	b1b2c	b1b2c	NOUN
ejpam-5087	35	64	=	=	SYM
ejpam-5087	35	65	m2<1	m2<1	ADJ
ejpam-5087	35	66	.	.	PUNCT
ejpam-5087	36	1	we	we	PRON
ejpam-5087	36	2	consider	consider	VERB
ejpam-5087	36	3	the	the	DET
ejpam-5087	36	4	existence	existence	NOUN
ejpam-5087	36	5	and	and	CCONJ
ejpam-5087	36	6	uniqueness	uniqueness	NOUN
ejpam-5087	36	7	of	of	ADP
ejpam-5087	36	8	the	the	DET
ejpam-5087	36	9	solution	solution	NOUN
ejpam-5087	36	10	for	for	ADP
ejpam-5087	36	11	the	the	DET
ejpam-5087	36	12	(	(	PUNCT
ejpam-5087	36	13	1	1	NUM
ejpam-5087	36	14	)	)	PUNCT
ejpam-5087	36	15	.	.	PUNCT
ejpam-5087	37	1	also	also	ADV
ejpam-5087	37	2	,	,	PUNCT
ejpam-5087	37	3	the	the	DET
ejpam-5087	37	4	continuity	continuity	NOUN
ejpam-5087	37	5	and	and	CCONJ
ejpam-5087	37	6	the	the	DET
ejpam-5087	37	7	normality	normality	NOUN
ejpam-5087	37	8	of	of	ADP
ejpam-5087	37	9	the	the	DET
ejpam-5087	37	10	integral	integral	ADJ
ejpam-5087	37	11	operator	operator	NOUN
ejpam-5087	37	12	are	be	AUX
ejpam-5087	37	13	proved	prove	VERB
ejpam-5087	37	14	.	.	PUNCT
ejpam-5087	38	1	we	we	PRON
ejpam-5087	38	2	define	define	VERB
ejpam-5087	38	3	the	the	DET
ejpam-5087	38	4	nonlinear	nonlinear	ADJ
ejpam-5087	38	5	integral	integral	ADJ
ejpam-5087	38	6	operators	operator	NOUN
ejpam-5087	38	7	sample	sample	NOUN
ejpam-5087	38	8	theorem	theorem	VERB
ejpam-5087	38	9	with	with	ADP
ejpam-5087	38	10	citation	citation	NOUN
ejpam-5087	38	11	:	:	PUNCT
ejpam-5087	38	12	(	(	PUNCT
ejpam-5087	38	13	wu)(x	wu)(x	PROPN
ejpam-5087	38	14	,	,	PUNCT
ejpam-5087	38	15	y	y	PROPN
ejpam-5087	38	16	)	)	PUNCT
ejpam-5087	38	17	=	=	SYM
ejpam-5087	38	18	f(x	f(x	PROPN
ejpam-5087	38	19	,	,	PUNCT
ejpam-5087	38	20	y	y	PROPN
ejpam-5087	38	21	,	,	PUNCT
ejpam-5087	38	22	∫	∫	PROPN
ejpam-5087	38	23	x	x	SYM
ejpam-5087	38	24	0	0	NUM
ejpam-5087	38	25	∫	∫	PROPN
ejpam-5087	38	26	y	y	PROPN
ejpam-5087	38	27	0	0	NUM
ejpam-5087	38	28	p(x	p(x	PROPN
ejpam-5087	38	29	,	,	PUNCT
ejpam-5087	38	30	y	y	PROPN
ejpam-5087	38	31	,	,	PUNCT
ejpam-5087	38	32	t	t	PROPN
ejpam-5087	38	33	,	,	PUNCT
ejpam-5087	38	34	s)θ(t	s)θ(t	VERB
ejpam-5087	38	35	,	,	PUNCT
ejpam-5087	38	36	s	s	X
ejpam-5087	38	37	,	,	PUNCT
ejpam-5087	38	38	u(t	u(t	NOUN
ejpam-5087	38	39	,	,	PUNCT
ejpam-5087	38	40	s))dtds	s))dtds	NOUN
ejpam-5087	38	41	)	)	PUNCT
ejpam-5087	38	42	(	(	PUNCT
ejpam-5087	38	43	2	2	NUM
ejpam-5087	38	44	)	)	PUNCT
ejpam-5087	38	45	and	and	CCONJ
ejpam-5087	38	46	(	(	PUNCT
ejpam-5087	38	47	w̄u)(x	w̄u)(x	PROPN
ejpam-5087	38	48	,	,	PUNCT
ejpam-5087	38	49	y	y	PROPN
ejpam-5087	38	50	)	)	PUNCT
ejpam-5087	38	51	=	=	SYM
ejpam-5087	39	1	g(x	g(x	NOUN
ejpam-5087	39	2	,	,	PUNCT
ejpam-5087	39	3	y	y	NOUN
ejpam-5087	39	4	)	)	PUNCT
ejpam-5087	40	1	+	+	CCONJ
ejpam-5087	40	2	(	(	PUNCT
ejpam-5087	40	3	wf)(x	wf)(x	PROPN
ejpam-5087	40	4	,	,	PUNCT
ejpam-5087	40	5	y	y	PROPN
ejpam-5087	40	6	)	)	PUNCT
ejpam-5087	40	7	(	(	PUNCT
ejpam-5087	40	8	3	3	X
ejpam-5087	40	9	)	)	PUNCT
ejpam-5087	40	10	a.	a.	NOUN
ejpam-5087	40	11	m.	m.	NOUN
ejpam-5087	40	12	al	al	PROPN
ejpam-5087	40	13	-	-	PROPN
ejpam-5087	40	14	bugami	bugami	PROPN
ejpam-5087	40	15	/	/	SYM
ejpam-5087	40	16	eur	eur	PROPN
ejpam-5087	40	17	.	.	PUNCT
ejpam-5087	41	1	j.	j.	PROPN
ejpam-5087	41	2	pure	pure	PROPN
ejpam-5087	41	3	appl	appl	PROPN
ejpam-5087	41	4	.	.	PROPN
ejpam-5087	41	5	math	math	PROPN
ejpam-5087	41	6	,	,	PUNCT
ejpam-5087	41	7	17	17	NUM
ejpam-5087	41	8	(	(	PUNCT
ejpam-5087	41	9	2	2	NUM
ejpam-5087	41	10	)	)	PUNCT
ejpam-5087	41	11	(	(	PUNCT
ejpam-5087	41	12	2024	2024	NUM
ejpam-5087	41	13	)	)	PUNCT
ejpam-5087	41	14	,	,	PUNCT
ejpam-5087	41	15	1070	1070	NUM
ejpam-5087	41	16	-	-	SYM
ejpam-5087	41	17	1081	1081	NUM
ejpam-5087	41	18	1072	1072	NUM
ejpam-5087	41	19	as	as	ADP
ejpam-5087	41	20	for	for	ADP
ejpam-5087	41	21	the	the	DET
ejpam-5087	41	22	normality	normality	NOUN
ejpam-5087	41	23	of	of	ADP
ejpam-5087	41	24	the	the	DET
ejpam-5087	41	25	nonlinear	nonlinear	ADJ
ejpam-5087	41	26	integral	integral	ADJ
ejpam-5087	41	27	operator	operator	NOUN
ejpam-5087	41	28	wu	wu	PROPN
ejpam-5087	42	1	,	,	PUNCT
ejpam-5087	42	2	we	we	PRON
ejpam-5087	42	3	see	see	VERB
ejpam-5087	42	4	that	that	SCONJ
ejpam-5087	42	5	∥wu|	∥wu|	NOUN
ejpam-5087	42	6	=	=	PRON
ejpam-5087	42	7	{	{	PUNCT
ejpam-5087	42	8	∫	∫	PROPN
ejpam-5087	42	9	x	x	SYM
ejpam-5087	42	10	0	0	NUM
ejpam-5087	42	11	{	{	PUNCT
ejpam-5087	42	12	∫	∫	PROPN
ejpam-5087	42	13	y	y	PROPN
ejpam-5087	42	14	0	0	NUM
ejpam-5087	43	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5087	43	2	∣∣∣∣f(x	∣∣∣∣f(x	PROPN
ejpam-5087	43	3	,	,	PUNCT
ejpam-5087	43	4	y,∫	y,∫	NOUN
ejpam-5087	43	5	x	x	X
ejpam-5087	43	6	0	0	NUM
ejpam-5087	43	7	∫	∫	PROPN
ejpam-5087	43	8	y	y	PROPN
ejpam-5087	43	9	0	0	NUM
ejpam-5087	43	10	p(x	p(x	PROPN
ejpam-5087	43	11	,	,	PUNCT
ejpam-5087	43	12	y	y	PROPN
ejpam-5087	43	13	,	,	PUNCT
ejpam-5087	43	14	t	t	PROPN
ejpam-5087	43	15	,	,	PUNCT
ejpam-5087	43	16	s)θ(t	s)θ(t	VERB
ejpam-5087	43	17	,	,	PUNCT
ejpam-5087	43	18	s	s	X
ejpam-5087	43	19	,	,	PUNCT
ejpam-5087	43	20	u(t	u(t	NOUN
ejpam-5087	43	21	,	,	PUNCT
ejpam-5087	43	22	s))dtds	s))dtds	NOUN
ejpam-5087	43	23	)	)	PUNCT
ejpam-5087	43	24	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-5087	43	25	dx	dx	PROPN
ejpam-5087	43	26	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5087	43	27	2	2	NUM
ejpam-5087	43	28	}	}	SYM
ejpam-5087	43	29	1	1	NUM
ejpam-5087	43	30	2dy	2dy	NOUN
ejpam-5087	43	31	}	}	PUNCT
ejpam-5087	43	32	1	1	NUM
ejpam-5087	43	33	2	2	NUM
ejpam-5087	43	34	(	(	PUNCT
ejpam-5087	43	35	4	4	NUM
ejpam-5087	43	36	)	)	PUNCT
ejpam-5087	43	37	applying	apply	VERB
ejpam-5087	43	38	condition	condition	NOUN
ejpam-5087	43	39	(	(	PUNCT
ejpam-5087	43	40	1	1	NUM
ejpam-5087	43	41	)	)	PUNCT
ejpam-5087	43	42	,	,	PUNCT
ejpam-5087	43	43	we	we	PRON
ejpam-5087	43	44	obtain	obtain	VERB
ejpam-5087	43	45	∥wu|	∥wu|	NOUN
ejpam-5087	43	46	=	=	SYM
ejpam-5087	43	47	a1	a1	PROPN
ejpam-5087	43	48	{	{	PUNCT
ejpam-5087	43	49	∫	∫	NOUN
ejpam-5087	43	50	x	x	SYM
ejpam-5087	43	51	0	0	NUM
ejpam-5087	43	52	{	{	PUNCT
ejpam-5087	43	53	∫	∫	PROPN
ejpam-5087	43	54	y	y	PROPN
ejpam-5087	43	55	0	0	NUM
ejpam-5087	44	1	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-5087	44	2	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-5087	44	3	x	x	SYM
ejpam-5087	44	4	0	0	NUM
ejpam-5087	44	5	∫	∫	PROPN
ejpam-5087	44	6	y	y	PROPN
ejpam-5087	44	7	0	0	NUM
ejpam-5087	44	8	p(x	p(x	PROPN
ejpam-5087	44	9	,	,	PUNCT
ejpam-5087	44	10	y	y	PROPN
ejpam-5087	44	11	,	,	PUNCT
ejpam-5087	44	12	t	t	PROPN
ejpam-5087	44	13	,	,	PUNCT
ejpam-5087	44	14	s)θ(t	s)θ(t	VERB
ejpam-5087	44	15	,	,	PUNCT
ejpam-5087	44	16	s	s	X
ejpam-5087	44	17	,	,	PUNCT
ejpam-5087	44	18	u(t	u(t	NOUN
ejpam-5087	44	19	,	,	PUNCT
ejpam-5087	44	20	s))dtds	s))dtds	NOUN
ejpam-5087	44	21	)	)	PUNCT
ejpam-5087	44	22	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-5087	44	23	dx	dx	PROPN
ejpam-5087	45	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-5087	45	2	2	2	NUM
ejpam-5087	45	3	}	}	SYM
ejpam-5087	45	4	1	1	NUM
ejpam-5087	45	5	2dy	2dy	NOUN
ejpam-5087	45	6	}	}	PUNCT
ejpam-5087	45	7	1	1	NUM
ejpam-5087	45	8	2	2	NUM
ejpam-5087	45	9	(	(	PUNCT
ejpam-5087	45	10	5	5	NUM
ejpam-5087	45	11	)	)	PUNCT
ejpam-5087	45	12	then	then	ADV
ejpam-5087	45	13	,	,	PUNCT
ejpam-5087	45	14	we	we	PRON
ejpam-5087	45	15	get	get	VERB
ejpam-5087	45	16	∥wu|	∥wu|	NOUN
ejpam-5087	45	17	=	=	SYM
ejpam-5087	45	18	a1	a1	PROPN
ejpam-5087	45	19	{	{	PUNCT
ejpam-5087	45	20	∫	∫	NOUN
ejpam-5087	45	21	x	x	SYM
ejpam-5087	45	22	0	0	NUM
ejpam-5087	45	23	{	{	PUNCT
ejpam-5087	45	24	∫	∫	PROPN
ejpam-5087	45	25	y	y	PROPN
ejpam-5087	45	26	0	0	NUM
ejpam-5087	46	1	|	|	ADV
ejpam-5087	46	2	∫	∫	PROPN
ejpam-5087	46	3	x	x	SYM
ejpam-5087	46	4	0	0	NUM
ejpam-5087	46	5	∫	∫	PROPN
ejpam-5087	46	6	y	y	PROPN
ejpam-5087	46	7	0	0	NUM
ejpam-5087	46	8	|p(x	|p(x	PROPN
ejpam-5087	46	9	,	,	PUNCT
ejpam-5087	46	10	y	y	PROPN
ejpam-5087	46	11	,	,	PUNCT
ejpam-5087	46	12	t	t	PROPN
ejpam-5087	46	13	,	,	PUNCT
ejpam-5087	46	14	s)|2.|θ(t	s)|2.|θ(t	PROPN
ejpam-5087	46	15	,	,	PUNCT
ejpam-5087	46	16	s	s	NOUN
ejpam-5087	46	17	,	,	PUNCT
ejpam-5087	46	18	u(t	u(t	NOUN
ejpam-5087	46	19	,	,	PUNCT
ejpam-5087	46	20	s))|2dtds)|2dtdx	s))|2dtds)|2dtdx	NOUN
ejpam-5087	46	21	}	}	PUNCT
ejpam-5087	46	22	1	1	NUM
ejpam-5087	46	23	2dsdy	2dsdy	NUM
ejpam-5087	46	24	}	}	SYM
ejpam-5087	46	25	1	1	NUM
ejpam-5087	46	26	2	2	NUM
ejpam-5087	46	27	(	(	PUNCT
ejpam-5087	46	28	6	6	NUM
ejpam-5087	46	29	)	)	PUNCT
ejpam-5087	46	30	which	which	PRON
ejpam-5087	46	31	can	can	AUX
ejpam-5087	46	32	be	be	AUX
ejpam-5087	46	33	adapted	adapt	VERB
ejpam-5087	46	34	in	in	ADP
ejpam-5087	46	35	the	the	DET
ejpam-5087	46	36	form	form	NOUN
ejpam-5087	46	37	∥wu∥	∥wu∥	CCONJ
ejpam-5087	46	38	=	=	SYM
ejpam-5087	46	39	a1	a1	PROPN
ejpam-5087	46	40	{	{	PUNCT
ejpam-5087	46	41	∫	∫	NOUN
ejpam-5087	46	42	x	x	SYM
ejpam-5087	46	43	0	0	NUM
ejpam-5087	46	44	∫	∫	PROPN
ejpam-5087	46	45	y	y	PROPN
ejpam-5087	46	46	0	0	NUM
ejpam-5087	46	47	{	{	PUNCT
ejpam-5087	46	48	∫	∫	PROPN
ejpam-5087	46	49	x	x	SYM
ejpam-5087	46	50	0	0	NUM
ejpam-5087	46	51	∫	∫	PROPN
ejpam-5087	47	1	y	y	PROPN
ejpam-5087	47	2	0	0	NUM
ejpam-5087	47	3	|p(x	|p(x	PROPN
ejpam-5087	47	4	,	,	PUNCT
ejpam-5087	47	5	y	y	PROPN
ejpam-5087	47	6	,	,	PUNCT
ejpam-5087	47	7	t	t	PROPN
ejpam-5087	47	8	,	,	PUNCT
ejpam-5087	47	9	s)|2dxdt	s)|2dxdt	NOUN
ejpam-5087	47	10	}	}	PUNCT
ejpam-5087	47	11	1	1	NUM
ejpam-5087	47	12	2dyds	2dyds	NUM
ejpam-5087	47	13	}	}	SYM
ejpam-5087	47	14	1	1	NUM
ejpam-5087	47	15	2	2	NUM
ejpam-5087	47	16	.	.	PUNCT
ejpam-5087	47	17	{	{	PUNCT
ejpam-5087	48	1	∫	∫	PROPN
ejpam-5087	48	2	x	x	SYM
ejpam-5087	48	3	0	0	NUM
ejpam-5087	48	4	{	{	PUNCT
ejpam-5087	48	5	∫	∫	PROPN
ejpam-5087	48	6	y	y	PROPN
ejpam-5087	48	7	0	0	PROPN
ejpam-5087	48	8	|θ(t	|θ(t	PROPN
ejpam-5087	48	9	,	,	PUNCT
ejpam-5087	48	10	s	s	NOUN
ejpam-5087	48	11	,	,	PUNCT
ejpam-5087	48	12	u(t	u(t	NOUN
ejpam-5087	48	13	,	,	PUNCT
ejpam-5087	48	14	s))|2dtds	s))|2dtds	ADJ
ejpam-5087	48	15	}	}	PUNCT
ejpam-5087	48	16	1	1	NUM
ejpam-5087	48	17	2	2	NUM
ejpam-5087	48	18	}	}	SYM
ejpam-5087	48	19	1	1	NUM
ejpam-5087	48	20	2	2	NUM
ejpam-5087	48	21	(	(	PUNCT
ejpam-5087	48	22	7	7	NUM
ejpam-5087	48	23	)	)	PUNCT
ejpam-5087	48	24	if	if	SCONJ
ejpam-5087	48	25	we	we	PRON
ejpam-5087	48	26	use	use	VERB
ejpam-5087	48	27	the	the	DET
ejpam-5087	48	28	boundary	boundary	ADJ
ejpam-5087	48	29	conditions	condition	NOUN
ejpam-5087	48	30	(	(	PUNCT
ejpam-5087	48	31	1	1	NUM
ejpam-5087	48	32	)	)	PUNCT
ejpam-5087	48	33	,	,	PUNCT
ejpam-5087	48	34	(	(	PUNCT
ejpam-5087	48	35	2	2	NUM
ejpam-5087	48	36	)	)	PUNCT
ejpam-5087	48	37	,	,	PUNCT
ejpam-5087	48	38	we	we	PRON
ejpam-5087	48	39	will	will	AUX
ejpam-5087	48	40	have	have	VERB
ejpam-5087	48	41	∥wu∥	∥wu∥	NUM
ejpam-5087	48	42	=	=	NOUN
ejpam-5087	48	43	a1a2c	a1a2c	NUM
ejpam-5087	48	44	∥u∥	∥u∥	NOUN
ejpam-5087	48	45	=	=	SYM
ejpam-5087	48	46	m1	m1	PROPN
ejpam-5087	48	47	∥u∥	∥u∥	NOUN
ejpam-5087	48	48	(	(	PUNCT
ejpam-5087	48	49	8)	8)	NUM
ejpam-5087	48	50	to	to	PART
ejpam-5087	48	51	demonstrate	demonstrate	VERB
ejpam-5087	48	52	the	the	DET
ejpam-5087	48	53	integral	integral	ADJ
ejpam-5087	48	54	operator	operator	NOUN
ejpam-5087	48	55	’s	’s	PART
ejpam-5087	48	56	continuation	continuation	NOUN
ejpam-5087	48	57	,	,	PUNCT
ejpam-5087	48	58	takeu1(x	takeu1(x	NUM
ejpam-5087	48	59	,	,	PUNCT
ejpam-5087	48	60	y),u2(x	y),u2(x	NOUN
ejpam-5087	48	61	,	,	PUNCT
ejpam-5087	48	62	y)∈l2[0,x]×l2[0,y],to	y)∈l2[0,x]×l2[0,y],to	PROPN
ejpam-5087	48	63	have:∥∥w̄u1	have:∥∥w̄u1	PROPN
ejpam-5087	48	64	−	−	PROPN
ejpam-5087	48	65	w̄u2	w̄u2	NOUN
ejpam-5087	48	66	∥∥	∥∥	X
ejpam-5087	48	67	=	=	SYM
ejpam-5087	48	68	{	{	PUNCT
ejpam-5087	48	69	∫	∫	PROPN
ejpam-5087	48	70	x	x	SYM
ejpam-5087	48	71	0	0	NUM
ejpam-5087	48	72	{	{	PUNCT
ejpam-5087	48	73	∫	∫	PROPN
ejpam-5087	48	74	y	y	PROPN
ejpam-5087	48	75	0	0	NUM
ejpam-5087	48	76	∣∣∣∣f(x	∣∣∣∣f(x	PROPN
ejpam-5087	48	77	,	,	PUNCT
ejpam-5087	48	78	y	y	PROPN
ejpam-5087	48	79	,	,	PUNCT
ejpam-5087	48	80	∫	∫	PROPN
ejpam-5087	48	81	x	x	SYM
ejpam-5087	48	82	0	0	NUM
ejpam-5087	48	83	∫	∫	PROPN
ejpam-5087	48	84	y	y	PROPN
ejpam-5087	48	85	0	0	NUM
ejpam-5087	48	86	p(x	p(x	PROPN
ejpam-5087	48	87	,	,	PUNCT
ejpam-5087	48	88	y	y	PROPN
ejpam-5087	48	89	,	,	PUNCT
ejpam-5087	48	90	t	t	PROPN
ejpam-5087	48	91	,	,	PUNCT
ejpam-5087	48	92	s)θ(t	s)θ(t	VERB
ejpam-5087	48	93	,	,	PUNCT
ejpam-5087	48	94	s	s	X
ejpam-5087	48	95	,	,	PUNCT
ejpam-5087	48	96	u1(t	u1(t	ADP
ejpam-5087	48	97	,	,	PUNCT
ejpam-5087	48	98	s))dtds	s))dtds	NOUN
ejpam-5087	48	99	)	)	PUNCT
ejpam-5087	48	100	−f(x	−f(x	PROPN
ejpam-5087	48	101	,	,	PUNCT
ejpam-5087	48	102	y	y	PROPN
ejpam-5087	48	103	,	,	PUNCT
ejpam-5087	48	104	∫	∫	PROPN
ejpam-5087	48	105	x	x	SYM
ejpam-5087	48	106	0	0	NUM
ejpam-5087	48	107	∫	∫	PROPN
ejpam-5087	48	108	y	y	PROPN
ejpam-5087	48	109	0	0	NUM
ejpam-5087	48	110	p(x	p(x	PROPN
ejpam-5087	48	111	,	,	PUNCT
ejpam-5087	48	112	y	y	PROPN
ejpam-5087	48	113	,	,	PUNCT
ejpam-5087	48	114	t	t	PROPN
ejpam-5087	48	115	,	,	PUNCT
ejpam-5087	48	116	s)θ(t	s)θ(t	VERB
ejpam-5087	48	117	,	,	PUNCT
ejpam-5087	48	118	s	s	X
ejpam-5087	48	119	,	,	PUNCT
ejpam-5087	48	120	u2(t	u2(t	NOUN
ejpam-5087	48	121	,	,	PUNCT
ejpam-5087	48	122	s))dtds	s))dtds	ADJ
ejpam-5087	48	123	)	)	PUNCT
ejpam-5087	48	124	2dx2	2dx2	NUM
ejpam-5087	48	125	}	}	SYM
ejpam-5087	48	126	1	1	NUM
ejpam-5087	48	127	2dy	2dy	NOUN
ejpam-5087	48	128	}	}	PUNCT
ejpam-5087	48	129	1	1	NUM
ejpam-5087	48	130	2	2	NUM
ejpam-5087	48	131	(	(	PUNCT
ejpam-5087	48	132	9	9	NUM
ejpam-5087	48	133	)	)	PUNCT
ejpam-5087	48	134	using	use	VERB
ejpam-5087	48	135	the	the	DET
ejpam-5087	48	136	condition	condition	NOUN
ejpam-5087	48	137	(	(	PUNCT
ejpam-5087	48	138	3	3	NUM
ejpam-5087	48	139	)	)	PUNCT
ejpam-5087	48	140	,	,	PUNCT
ejpam-5087	48	141	we	we	PRON
ejpam-5087	48	142	obtain	obtain	VERB
ejpam-5087	48	143	∥∥w̄u1	∥∥w̄u1	PROPN
ejpam-5087	48	144	−	−	PROPN
ejpam-5087	49	1	w̄u2	w̄u2	PROPN
ejpam-5087	50	1	∥∥	∥∥	X
ejpam-5087	50	2	≤	≤	PROPN
ejpam-5087	50	3	b1	b1	PROPN
ejpam-5087	50	4	{	{	PUNCT
ejpam-5087	50	5	{	{	PUNCT
ejpam-5087	50	6	∫	∫	PROPN
ejpam-5087	50	7	x	x	SYM
ejpam-5087	50	8	0	0	NUM
ejpam-5087	50	9	∫	∫	PROPN
ejpam-5087	50	10	y	y	PROPN
ejpam-5087	50	11	0	0	PROPN
ejpam-5087	50	12	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-5087	50	13	x	x	SYM
ejpam-5087	50	14	0	0	NUM
ejpam-5087	50	15	∫	∫	PROPN
ejpam-5087	50	16	y	y	PROPN
ejpam-5087	50	17	0	0	NUM
ejpam-5087	50	18	p(x	p(x	PROPN
ejpam-5087	50	19	,	,	PUNCT
ejpam-5087	50	20	y	y	PROPN
ejpam-5087	50	21	,	,	PUNCT
ejpam-5087	50	22	t	t	PROPN
ejpam-5087	50	23	,	,	PUNCT
ejpam-5087	50	24	s)[θ(t	s)[θ(t	PROPN
ejpam-5087	50	25	,	,	PUNCT
ejpam-5087	50	26	s	s	X
ejpam-5087	50	27	,	,	PUNCT
ejpam-5087	50	28	u1(t	u1(t	ADP
ejpam-5087	50	29	,	,	PUNCT
ejpam-5087	50	30	s))−	s))−	PROPN
ejpam-5087	50	31	θ(t	θ(t	NOUN
ejpam-5087	50	32	,	,	PUNCT
ejpam-5087	50	33	s	s	PROPN
ejpam-5087	50	34	,	,	PUNCT
ejpam-5087	50	35	u2(t	u2(t	PROPN
ejpam-5087	50	36	,	,	PUNCT
ejpam-5087	50	37	s	s	NOUN
ejpam-5087	50	38	)	)	PUNCT
ejpam-5087	50	39	)	)	PUNCT
ejpam-5087	50	40	]	]	PUNCT
ejpam-5087	50	41	∣∣∣∣2	∣∣∣∣2	PROPN
ejpam-5087	50	42	dx	dx	PROPN
ejpam-5087	50	43	}	}	PUNCT
ejpam-5087	50	44	1	1	NUM
ejpam-5087	50	45	2dy	2dy	NOUN
ejpam-5087	50	46	}	}	PUNCT
ejpam-5087	50	47	1	1	NUM
ejpam-5087	50	48	2	2	NUM
ejpam-5087	50	49	(	(	PUNCT
ejpam-5087	50	50	10	10	NUM
ejpam-5087	50	51	)	)	PUNCT
ejpam-5087	50	52	then,∥∥w̄u1	then,∥∥w̄u1	PROPN
ejpam-5087	50	53	−	−	PROPN
ejpam-5087	50	54	w̄u2	w̄u2	NOUN
ejpam-5087	50	55	∥∥	∥∥	X
ejpam-5087	50	56	≤	≤	PROPN
ejpam-5087	50	57	b1	b1	PROPN
ejpam-5087	50	58	{	{	PUNCT
ejpam-5087	50	59	{	{	PUNCT
ejpam-5087	50	60	∫	∫	PROPN
ejpam-5087	50	61	x	x	SYM
ejpam-5087	50	62	0	0	NUM
ejpam-5087	50	63	∫	∫	PROPN
ejpam-5087	51	1	y	y	PROPN
ejpam-5087	51	2	0	0	NUM
ejpam-5087	51	3	∫	∫	PROPN
ejpam-5087	51	4	x	x	SYM
ejpam-5087	51	5	0	0	NUM
ejpam-5087	51	6	∫	∫	PROPN
ejpam-5087	51	7	y	y	PROPN
ejpam-5087	51	8	0	0	NUM
ejpam-5087	51	9	|p(x	|p(x	PROPN
ejpam-5087	51	10	,	,	PUNCT
ejpam-5087	51	11	y	y	PROPN
ejpam-5087	51	12	,	,	PUNCT
ejpam-5087	51	13	t	t	PROPN
ejpam-5087	51	14	,	,	PUNCT
ejpam-5087	51	15	s)}2.|θ(t	s)}2.|θ(t	PROPN
ejpam-5087	51	16	,	,	PUNCT
ejpam-5087	51	17	s	s	PROPN
ejpam-5087	51	18	,	,	PUNCT
ejpam-5087	51	19	u1(t	u1(t	PROPN
ejpam-5087	51	20	,	,	PUNCT
ejpam-5087	51	21	s))−θ(t	s))−θ(t	NOUN
ejpam-5087	51	22	,	,	PUNCT
ejpam-5087	51	23	s	s	X
ejpam-5087	51	24	,	,	PUNCT
ejpam-5087	51	25	u2(t	u2(t	PROPN
ejpam-5087	51	26	,	,	PUNCT
ejpam-5087	51	27	s))|2dx	s))|2dx	PROPN
ejpam-5087	51	28	}	}	PUNCT
ejpam-5087	51	29	1	1	NUM
ejpam-5087	51	30	2dy	2dy	NOUN
ejpam-5087	51	31	}	}	PUNCT
ejpam-5087	51	32	1	1	NUM
ejpam-5087	51	33	2	2	NUM
ejpam-5087	51	34	(	(	PUNCT
ejpam-5087	51	35	11	11	NUM
ejpam-5087	51	36	)	)	PUNCT
ejpam-5087	51	37	from	from	ADP
ejpam-5087	51	38	the	the	DET
ejpam-5087	51	39	conditions	condition	NOUN
ejpam-5087	51	40	(	(	PUNCT
ejpam-5087	51	41	1	1	NUM
ejpam-5087	51	42	)	)	PUNCT
ejpam-5087	51	43	,	,	PUNCT
ejpam-5087	51	44	(	(	PUNCT
ejpam-5087	51	45	3	3	X
ejpam-5087	51	46	)	)	PUNCT
ejpam-5087	51	47	,	,	PUNCT
ejpam-5087	51	48	we	we	PRON
ejpam-5087	51	49	have∥∥w̄u1	have∥∥w̄u1	PROPN
ejpam-5087	51	50	−	−	PROPN
ejpam-5087	51	51	w̄u2	w̄u2	VERB
ejpam-5087	51	52	∥∥	∥∥	X
ejpam-5087	51	53	≤	≤	ADJ
ejpam-5087	51	54	b1b2c	b1b2c	NUM
ejpam-5087	51	55	∥u1	∥u1	NOUN
ejpam-5087	51	56	−	−	PROPN
ejpam-5087	51	57	u2∥	u2∥	PROPN
ejpam-5087	51	58	=	=	PROPN
ejpam-5087	51	59	m2	m2	PROPN
ejpam-5087	51	60	∥u1	∥u1	NOUN
ejpam-5087	51	61	−	−	PROPN
ejpam-5087	51	62	u2∥	u2∥	PROPN
ejpam-5087	51	63	(	(	PUNCT
ejpam-5087	51	64	m2	m2	PROPN
ejpam-5087	51	65	<	<	X
ejpam-5087	51	66	1	1	NUM
ejpam-5087	51	67	)	)	PUNCT
ejpam-5087	51	68	.	.	PUNCT
ejpam-5087	52	1	(	(	PUNCT
ejpam-5087	52	2	12	12	NUM
ejpam-5087	52	3	)	)	PUNCT
ejpam-5087	52	4	hence	hence	ADV
ejpam-5087	52	5	,	,	PUNCT
ejpam-5087	52	6	w̄	w̄	NOUN
ejpam-5087	52	7	is	be	AUX
ejpam-5087	52	8	a	a	DET
ejpam-5087	52	9	contraction	contraction	NOUN
ejpam-5087	52	10	operator	operator	NOUN
ejpam-5087	52	11	and	and	CCONJ
ejpam-5087	52	12	w̄	w̄	NOUN
ejpam-5087	52	13	has	have	VERB
ejpam-5087	52	14	a	a	DET
ejpam-5087	52	15	unique	unique	ADJ
ejpam-5087	52	16	fixed	fix	VERB
ejpam-5087	52	17	point	point	NOUN
ejpam-5087	52	18	,	,	PUNCT
ejpam-5087	52	19	which	which	PRON
ejpam-5087	52	20	is	be	AUX
ejpam-5087	52	21	the	the	DET
ejpam-5087	52	22	unique	unique	ADJ
ejpam-5087	52	23	solution	solution	NOUN
ejpam-5087	52	24	to	to	ADP
ejpam-5087	52	25	(	(	PUNCT
ejpam-5087	52	26	1	1	NUM
ejpam-5087	52	27	)	)	PUNCT
ejpam-5087	52	28	,	,	PUNCT
ejpam-5087	52	29	of	of	ADP
ejpam-5087	52	30	course	course	NOUN
ejpam-5087	52	31	.	.	PUNCT
ejpam-5087	53	1	a.	a.	PROPN
ejpam-5087	53	2	m.	m.	PROPN
ejpam-5087	53	3	al	al	PROPN
ejpam-5087	53	4	-	-	PROPN
ejpam-5087	53	5	bugami	bugami	PROPN
ejpam-5087	53	6	/	/	SYM
ejpam-5087	53	7	eur	eur	PROPN
ejpam-5087	53	8	.	.	PUNCT
ejpam-5087	54	1	j.	j.	PROPN
ejpam-5087	54	2	pure	pure	PROPN
ejpam-5087	54	3	appl	appl	PROPN
ejpam-5087	54	4	.	.	PROPN
ejpam-5087	54	5	math	math	PROPN
ejpam-5087	54	6	,	,	PUNCT
ejpam-5087	54	7	17	17	NUM
ejpam-5087	54	8	(	(	PUNCT
ejpam-5087	54	9	2	2	NUM
ejpam-5087	54	10	)	)	PUNCT
ejpam-5087	54	11	(	(	PUNCT
ejpam-5087	54	12	2024	2024	NUM
ejpam-5087	54	13	)	)	PUNCT
ejpam-5087	54	14	,	,	PUNCT
ejpam-5087	54	15	1070	1070	NUM
ejpam-5087	54	16	-	-	SYM
ejpam-5087	54	17	1081	1081	NUM
ejpam-5087	54	18	1073	1073	NUM
ejpam-5087	54	19	3	3	NUM
ejpam-5087	54	20	.	.	PUNCT
ejpam-5087	54	21	numerical	numerical	ADJ
ejpam-5087	54	22	methods	method	NOUN
ejpam-5087	54	23	for	for	ADP
ejpam-5087	54	24	solving	solve	VERB
ejpam-5087	54	25	nt	not	PART
ejpam-5087	54	26	-	-	PUNCT
ejpam-5087	54	27	dfvie	dfvie	NOUN
ejpam-5087	54	28	.	.	PUNCT
ejpam-5087	55	1	3.1	3.1	NUM
ejpam-5087	55	2	.	.	PUNCT
ejpam-5087	56	1	the	the	DET
ejpam-5087	56	2	adm	adm	PROPN
ejpam-5087	56	3	this	this	DET
ejpam-5087	56	4	section	section	NOUN
ejpam-5087	56	5	uses	use	VERB
ejpam-5087	56	6	adm	adm	PROPN
ejpam-5087	56	7	to	to	PART
ejpam-5087	56	8	handle	handle	VERB
ejpam-5087	56	9	nt	not	PART
ejpam-5087	56	10	-	-	NOUN
ejpam-5087	56	11	dfvie	dfvie	NOUN
ejpam-5087	56	12	of	of	ADP
ejpam-5087	56	13	the	the	DET
ejpam-5087	56	14	second	second	ADJ
ejpam-5087	56	15	kind	kind	NOUN
ejpam-5087	56	16	:	:	PUNCT
ejpam-5087	56	17	µu(x	µu(x	ADV
ejpam-5087	56	18	,	,	PUNCT
ejpam-5087	56	19	y	y	NOUN
ejpam-5087	56	20	)	)	PUNCT
ejpam-5087	56	21	=	=	SYM
ejpam-5087	57	1	g(x	g(x	NOUN
ejpam-5087	57	2	,	,	PUNCT
ejpam-5087	57	3	y	y	NOUN
ejpam-5087	57	4	)	)	PUNCT
ejpam-5087	58	1	+	+	CCONJ
ejpam-5087	58	2	f(x	f(x	PROPN
ejpam-5087	58	3	,	,	PUNCT
ejpam-5087	58	4	y	y	PROPN
ejpam-5087	58	5	,	,	PUNCT
ejpam-5087	58	6	∫	∫	PROPN
ejpam-5087	58	7	x	x	SYM
ejpam-5087	58	8	0	0	NUM
ejpam-5087	58	9	∫	∫	PROPN
ejpam-5087	58	10	y	y	PROPN
ejpam-5087	58	11	0	0	NUM
ejpam-5087	58	12	p(x	p(x	PROPN
ejpam-5087	58	13	,	,	PUNCT
ejpam-5087	58	14	y	y	PROPN
ejpam-5087	58	15	,	,	PUNCT
ejpam-5087	58	16	t	t	PROPN
ejpam-5087	58	17	,	,	PUNCT
ejpam-5087	58	18	s)θ(t	s)θ(t	VERB
ejpam-5087	58	19	,	,	PUNCT
ejpam-5087	58	20	s	s	X
ejpam-5087	58	21	,	,	PUNCT
ejpam-5087	58	22	u(t	u(t	NOUN
ejpam-5087	58	23	,	,	PUNCT
ejpam-5087	58	24	s))dtds	s))dtds	NOUN
ejpam-5087	58	25	)	)	PUNCT
ejpam-5087	58	26	,	,	PUNCT
ejpam-5087	58	27	(	(	PUNCT
ejpam-5087	58	28	13	13	X
ejpam-5087	58	29	)	)	PUNCT
ejpam-5087	58	30	the	the	DET
ejpam-5087	58	31	unknown	unknown	ADJ
ejpam-5087	58	32	solution	solution	NOUN
ejpam-5087	58	33	is	be	AUX
ejpam-5087	58	34	an	an	DET
ejpam-5087	58	35	infinite	infinite	ADJ
ejpam-5087	58	36	series	series	NOUN
ejpam-5087	58	37	of	of	ADP
ejpam-5087	58	38	the	the	DET
ejpam-5087	58	39	following	follow	VERB
ejpam-5087	58	40	form	form	NOUN
ejpam-5087	58	41	:	:	PUNCT
ejpam-5087	58	42	u(x	u(x	PROPN
ejpam-5087	58	43	,	,	PUNCT
ejpam-5087	58	44	y	y	NOUN
ejpam-5087	58	45	)	)	PUNCT
ejpam-5087	58	46	=	=	PUNCT
ejpam-5087	59	1	∞∑	∞∑	PRON
ejpam-5087	59	2	n=0	n=0	NUM
ejpam-5087	59	3	un(x	un(x	NUM
ejpam-5087	59	4	,	,	PUNCT
ejpam-5087	59	5	y	y	PROPN
ejpam-5087	59	6	)	)	PUNCT
ejpam-5087	59	7	(	(	PUNCT
ejpam-5087	59	8	14	14	NUM
ejpam-5087	59	9	)	)	PUNCT
ejpam-5087	59	10	in	in	ADP
ejpam-5087	59	11	addition	addition	NOUN
ejpam-5087	59	12	,	,	PUNCT
ejpam-5087	59	13	the	the	DET
ejpam-5087	59	14	term	term	NOUN
ejpam-5087	59	15	θ(t	θ(t	PROPN
ejpam-5087	59	16	,	,	PUNCT
ejpam-5087	59	17	s	s	X
ejpam-5087	59	18	,	,	PUNCT
ejpam-5087	59	19	u(t	u(t	NOUN
ejpam-5087	59	20	,	,	PUNCT
ejpam-5087	59	21	s))in	s))in	PROPN
ejpam-5087	59	22	(	(	PUNCT
ejpam-5087	59	23	13	13	NUM
ejpam-5087	59	24	)	)	PUNCT
ejpam-5087	59	25	is	be	AUX
ejpam-5087	59	26	decomposed	decompose	VERB
ejpam-5087	59	27	into	into	ADP
ejpam-5087	59	28	an	an	DET
ejpam-5087	59	29	infinite	infinite	ADJ
ejpam-5087	59	30	series	series	NOUN
ejpam-5087	59	31	θ(t	θ(t	PROPN
ejpam-5087	59	32	,	,	PUNCT
ejpam-5087	59	33	s	s	PROPN
ejpam-5087	59	34	,	,	PUNCT
ejpam-5087	59	35	u	u	NOUN
ejpam-5087	59	36	)	)	PUNCT
ejpam-5087	59	37	=	=	PUNCT
ejpam-5087	60	1	∞∑	∞∑	NUM
ejpam-5087	60	2	n=0	n=0	NUM
ejpam-5087	60	3	an	an	DET
ejpam-5087	60	4	(	(	PUNCT
ejpam-5087	60	5	15	15	NUM
ejpam-5087	60	6	)	)	PUNCT
ejpam-5087	60	7	moreover	moreover	ADV
ejpam-5087	60	8	,	,	PUNCT
ejpam-5087	60	9	the	the	DET
ejpam-5087	60	10	following	follow	VERB
ejpam-5087	60	11	equation	equation	NOUN
ejpam-5087	60	12	defines	define	NOUN
ejpam-5087	60	13	adomian	adomian	NOUN
ejpam-5087	60	14	’s	’s	PART
ejpam-5087	60	15	polynomial	polynomial	ADJ
ejpam-5087	60	16	,	,	PUNCT
ejpam-5087	60	17	denoted	denote	VERB
ejpam-5087	60	18	asan	asan	ADJ
ejpam-5087	60	19	an	an	PRON
ejpam-5087	60	20	=	=	SYM
ejpam-5087	60	21	1	1	NUM
ejpam-5087	60	22	n	n	NOUN
ejpam-5087	60	23	!	!	PUNCT
ejpam-5087	61	1	dn	dn	PROPN
ejpam-5087	61	2	dλn	dλn	PROPN
ejpam-5087	62	1	[	[	X
ejpam-5087	62	2	θ	θ	X
ejpam-5087	62	3	(	(	PUNCT
ejpam-5087	62	4	∞∑	∞∑	PROPN
ejpam-5087	62	5	i=0	i=0	PROPN
ejpam-5087	62	6	λiui)]λ=0	λiui)]λ=0	PROPN
ejpam-5087	62	7	,	,	PUNCT
ejpam-5087	62	8	n	n	NOUN
ejpam-5087	62	9	=	=	SYM
ejpam-5087	62	10	0	0	NUM
ejpam-5087	62	11	,	,	PUNCT
ejpam-5087	62	12	1	1	NUM
ejpam-5087	62	13	,	,	PUNCT
ejpam-5087	62	14	2	2	NUM
ejpam-5087	62	15	,	,	PUNCT
ejpam-5087	62	16	...	...	PUNCT
ejpam-5087	62	17	(	(	PUNCT
ejpam-5087	62	18	16	16	NUM
ejpam-5087	62	19	)	)	PUNCT
ejpam-5087	62	20	substituting	substitute	VERB
ejpam-5087	62	21	from	from	ADP
ejpam-5087	62	22	(	(	PUNCT
ejpam-5087	62	23	15	15	NUM
ejpam-5087	62	24	)	)	PUNCT
ejpam-5087	62	25	,	,	PUNCT
ejpam-5087	62	26	(	(	PUNCT
ejpam-5087	62	27	16	16	NUM
ejpam-5087	62	28	)	)	PUNCT
ejpam-5087	62	29	into(13	into(13	NOUN
ejpam-5087	62	30	)	)	PUNCT
ejpam-5087	62	31	,	,	PUNCT
ejpam-5087	62	32	we	we	PRON
ejpam-5087	62	33	get	get	VERB
ejpam-5087	62	34	u0(x	u0(x	ADP
ejpam-5087	62	35	,	,	PUNCT
ejpam-5087	62	36	y	y	NOUN
ejpam-5087	62	37	)	)	PUNCT
ejpam-5087	63	1	=	=	SYM
ejpam-5087	64	1	g(x	g(x	NOUN
ejpam-5087	64	2	,	,	PUNCT
ejpam-5087	64	3	y	y	NOUN
ejpam-5087	64	4	)	)	PUNCT
ejpam-5087	64	5	(	(	PUNCT
ejpam-5087	64	6	17	17	NUM
ejpam-5087	64	7	)	)	PUNCT
ejpam-5087	64	8	ui(x	ui(x	PROPN
ejpam-5087	64	9	,	,	PUNCT
ejpam-5087	64	10	y	y	NOUN
ejpam-5087	64	11	)	)	PUNCT
ejpam-5087	64	12	=	=	SYM
ejpam-5087	64	13	f(x	f(x	PROPN
ejpam-5087	64	14	,	,	PUNCT
ejpam-5087	64	15	y	y	PROPN
ejpam-5087	64	16	,	,	PUNCT
ejpam-5087	64	17	∫	∫	PROPN
ejpam-5087	64	18	x	x	SYM
ejpam-5087	64	19	0	0	NUM
ejpam-5087	64	20	∫	∫	PROPN
ejpam-5087	64	21	y	y	PROPN
ejpam-5087	64	22	0	0	NUM
ejpam-5087	64	23	p(x	p(x	PROPN
ejpam-5087	64	24	,	,	PUNCT
ejpam-5087	64	25	y	y	PROPN
ejpam-5087	64	26	,	,	PUNCT
ejpam-5087	64	27	t	t	PROPN
ejpam-5087	64	28	,	,	PUNCT
ejpam-5087	64	29	s)ai−1(u0(t	s)ai−1(u0(t	PROPN
ejpam-5087	64	30	,	,	PUNCT
ejpam-5087	64	31	s	s	PART
ejpam-5087	64	32	)	)	PUNCT
ejpam-5087	64	33	,	,	PUNCT
ejpam-5087	64	34	....	....	PUNCT
ejpam-5087	64	35	,	,	PUNCT
ejpam-5087	64	36	ui−1(t	ui−1(t	ADJ
ejpam-5087	64	37	,	,	PUNCT
ejpam-5087	64	38	s))dtds	s))dtds	NUM
ejpam-5087	64	39	)	)	PUNCT
ejpam-5087	64	40	,	,	PUNCT
ejpam-5087	65	1	i	i	PRON
ejpam-5087	65	2	≥	≥	VERB
ejpam-5087	65	3	1	1	NUM
ejpam-5087	65	4	(	(	PUNCT
ejpam-5087	65	5	18	18	NUM
ejpam-5087	65	6	)	)	PUNCT
ejpam-5087	65	7	3.2	3.2	NUM
ejpam-5087	65	8	.	.	PUNCT
ejpam-5087	66	1	the	the	DET
ejpam-5087	66	2	bbm	bbm	PROPN
ejpam-5087	66	3	consider	consider	VERB
ejpam-5087	66	4	µu(x	µu(x	NOUN
ejpam-5087	66	5	,	,	PUNCT
ejpam-5087	66	6	y	y	NOUN
ejpam-5087	66	7	)	)	PUNCT
ejpam-5087	66	8	=	=	SYM
ejpam-5087	67	1	g(x	g(x	NOUN
ejpam-5087	67	2	,	,	PUNCT
ejpam-5087	67	3	y	y	NOUN
ejpam-5087	67	4	)	)	PUNCT
ejpam-5087	68	1	+	+	CCONJ
ejpam-5087	68	2	f(x	f(x	PROPN
ejpam-5087	68	3	,	,	PUNCT
ejpam-5087	68	4	y	y	PROPN
ejpam-5087	68	5	,	,	PUNCT
ejpam-5087	68	6	∫	∫	PROPN
ejpam-5087	68	7	x	x	SYM
ejpam-5087	68	8	0	0	NUM
ejpam-5087	68	9	∫	∫	PROPN
ejpam-5087	68	10	y	y	PROPN
ejpam-5087	68	11	0	0	NUM
ejpam-5087	68	12	p(x	p(x	PROPN
ejpam-5087	68	13	,	,	PUNCT
ejpam-5087	68	14	y	y	PROPN
ejpam-5087	68	15	,	,	PUNCT
ejpam-5087	68	16	t	t	PROPN
ejpam-5087	68	17	,	,	PUNCT
ejpam-5087	68	18	s)θ(t	s)θ(t	VERB
ejpam-5087	68	19	,	,	PUNCT
ejpam-5087	68	20	s	s	X
ejpam-5087	68	21	,	,	PUNCT
ejpam-5087	68	22	u(t	u(t	NOUN
ejpam-5087	68	23	,	,	PUNCT
ejpam-5087	68	24	s))dtds	s))dtds	NOUN
ejpam-5087	68	25	)	)	PUNCT
ejpam-5087	68	26	(	(	PUNCT
ejpam-5087	68	27	19	19	NUM
ejpam-5087	68	28	)	)	PUNCT
ejpam-5087	68	29	then	then	ADV
ejpam-5087	68	30	,	,	PUNCT
ejpam-5087	68	31	we	we	PRON
ejpam-5087	68	32	get	get	VERB
ejpam-5087	68	33	u2(x	u2(x	PRON
ejpam-5087	68	34	,	,	PUNCT
ejpam-5087	68	35	y	y	NOUN
ejpam-5087	68	36	)	)	PUNCT
ejpam-5087	69	1	≈	≈	PROPN
ejpam-5087	69	2	u(x2	u(x2	NOUN
ejpam-5087	69	3	,	,	PUNCT
ejpam-5087	69	4	y2	y2	NOUN
ejpam-5087	69	5	)	)	PUNCT
ejpam-5087	70	1	=	=	SYM
ejpam-5087	70	2	g(x	g(x	NOUN
ejpam-5087	70	3	,	,	PUNCT
ejpam-5087	70	4	y	y	NOUN
ejpam-5087	70	5	)	)	PUNCT
ejpam-5087	71	1	+	+	CCONJ
ejpam-5087	71	2	f(x	f(x	PROPN
ejpam-5087	71	3	,	,	PUNCT
ejpam-5087	71	4	y	y	PROPN
ejpam-5087	71	5	,	,	PUNCT
ejpam-5087	71	6	∫	∫	PROPN
ejpam-5087	71	7	x	x	SYM
ejpam-5087	71	8	0	0	NUM
ejpam-5087	71	9	∫	∫	PROPN
ejpam-5087	71	10	y	y	PROPN
ejpam-5087	71	11	0	0	PROPN
ejpam-5087	71	12	p(x2	p(x2	PROPN
ejpam-5087	71	13	,	,	PUNCT
ejpam-5087	71	14	y2	y2	PROPN
ejpam-5087	71	15	,	,	PUNCT
ejpam-5087	71	16	t	t	PROPN
ejpam-5087	71	17	,	,	PUNCT
ejpam-5087	71	18	s)θ(t	s)θ(t	VERB
ejpam-5087	71	19	,	,	PUNCT
ejpam-5087	71	20	s	s	X
ejpam-5087	71	21	,	,	PUNCT
ejpam-5087	71	22	u2(t	u2(t	NOUN
ejpam-5087	71	23	,	,	PUNCT
ejpam-5087	71	24	s))dtds	s))dtds	NOUN
ejpam-5087	71	25	)	)	PUNCT
ejpam-5087	71	26	(	(	PUNCT
ejpam-5087	71	27	20	20	NUM
ejpam-5087	71	28	)	)	PUNCT
ejpam-5087	71	29	or	or	CCONJ
ejpam-5087	71	30	in	in	ADP
ejpam-5087	71	31	the	the	DET
ejpam-5087	71	32	form	form	NOUN
ejpam-5087	71	33	u2(x	u2(x	PROPN
ejpam-5087	71	34	,	,	PUNCT
ejpam-5087	71	35	y	y	NOUN
ejpam-5087	71	36	)	)	PUNCT
ejpam-5087	72	1	≈	≈	PROPN
ejpam-5087	72	2	u(x2	u(x2	NOUN
ejpam-5087	72	3	,	,	PUNCT
ejpam-5087	72	4	y2	y2	NOUN
ejpam-5087	72	5	)	)	PUNCT
ejpam-5087	73	1	=	=	SYM
ejpam-5087	73	2	g(x	g(x	NOUN
ejpam-5087	73	3	,	,	PUNCT
ejpam-5087	73	4	y	y	NOUN
ejpam-5087	73	5	)	)	PUNCT
ejpam-5087	74	1	+	+	CCONJ
ejpam-5087	74	2	f(x	f(x	PROPN
ejpam-5087	74	3	,	,	PUNCT
ejpam-5087	74	4	y	y	PROPN
ejpam-5087	74	5	,	,	PUNCT
ejpam-5087	74	6	∫	∫	PROPN
ejpam-5087	74	7	x	x	SYM
ejpam-5087	74	8	0	0	NUM
ejpam-5087	74	9	∫	∫	PROPN
ejpam-5087	74	10	y	y	PROPN
ejpam-5087	74	11	0	0	PROPN
ejpam-5087	74	12	p(x2	p(x2	PROPN
ejpam-5087	74	13	,	,	PUNCT
ejpam-5087	74	14	y2	y2	PROPN
ejpam-5087	74	15	,	,	PUNCT
ejpam-5087	74	16	t	t	PROPN
ejpam-5087	74	17	,	,	PUNCT
ejpam-5087	74	18	s)dtds	s)dtds	PROPN
ejpam-5087	74	19	)	)	PUNCT
ejpam-5087	74	20	(	(	PUNCT
ejpam-5087	74	21	21	21	NUM
ejpam-5087	74	22	)	)	PUNCT
ejpam-5087	74	23	a.	a.	NOUN
ejpam-5087	74	24	m.	m.	PROPN
ejpam-5087	74	25	al	al	PROPN
ejpam-5087	74	26	-	-	PROPN
ejpam-5087	74	27	bugami	bugami	PROPN
ejpam-5087	74	28	/	/	SYM
ejpam-5087	74	29	eur	eur	PROPN
ejpam-5087	74	30	.	.	PUNCT
ejpam-5087	75	1	j.	j.	PROPN
ejpam-5087	75	2	pure	pure	PROPN
ejpam-5087	75	3	appl	appl	PROPN
ejpam-5087	75	4	.	.	PROPN
ejpam-5087	75	5	math	math	PROPN
ejpam-5087	75	6	,	,	PUNCT
ejpam-5087	75	7	17	17	NUM
ejpam-5087	75	8	(	(	PUNCT
ejpam-5087	75	9	2	2	NUM
ejpam-5087	75	10	)	)	PUNCT
ejpam-5087	75	11	(	(	PUNCT
ejpam-5087	75	12	2024	2024	NUM
ejpam-5087	75	13	)	)	PUNCT
ejpam-5087	75	14	,	,	PUNCT
ejpam-5087	75	15	1070	1070	NUM
ejpam-5087	75	16	-	-	SYM
ejpam-5087	75	17	1081	1081	NUM
ejpam-5087	75	18	1074	1074	NUM
ejpam-5087	75	19	using	use	VERB
ejpam-5087	75	20	simpson	simpson	PROPN
ejpam-5087	75	21	’s	’s	PART
ejpam-5087	75	22	rule	rule	NOUN
ejpam-5087	75	23	to	to	PART
ejpam-5087	75	24	approximate	approximate	VERB
ejpam-5087	75	25	the	the	DET
ejpam-5087	75	26	integrals	integral	NOUN
ejpam-5087	75	27	u2	u2	NOUN
ejpam-5087	75	28	=	=	PUNCT
ejpam-5087	75	29	g(x2	g(x2	NOUN
ejpam-5087	75	30	,	,	PUNCT
ejpam-5087	75	31	y2)+f(x	y2)+f(x	PROPN
ejpam-5087	75	32	,	,	PUNCT
ejpam-5087	75	33	y	y	PROPN
ejpam-5087	75	34	,	,	PUNCT
ejpam-5087	75	35	h	h	PROPN
ejpam-5087	75	36	3	3	NUM
ejpam-5087	75	37	{	{	PUNCT
ejpam-5087	75	38	p(x2	p(x2	NOUN
ejpam-5087	75	39	,	,	PUNCT
ejpam-5087	75	40	y2	y2	PROPN
ejpam-5087	75	41	,	,	PUNCT
ejpam-5087	75	42	x0	x0	PROPN
ejpam-5087	75	43	,	,	PUNCT
ejpam-5087	75	44	y0	y0	PROPN
ejpam-5087	75	45	,	,	PUNCT
ejpam-5087	75	46	u0)+4p(x2	u0)+4p(x2	PROPN
ejpam-5087	75	47	,	,	PUNCT
ejpam-5087	75	48	y2	y2	PROPN
ejpam-5087	75	49	,	,	PUNCT
ejpam-5087	75	50	x1	x1	PROPN
ejpam-5087	75	51	,	,	PUNCT
ejpam-5087	75	52	y1	y1	NOUN
ejpam-5087	75	53	,	,	PUNCT
ejpam-5087	75	54	u1)+p(x2	u1)+p(x2	NOUN
ejpam-5087	75	55	,	,	PUNCT
ejpam-5087	75	56	y2	y2	PROPN
ejpam-5087	75	57	,	,	PUNCT
ejpam-5087	75	58	x2	x2	PROPN
ejpam-5087	75	59	,	,	PUNCT
ejpam-5087	75	60	y2	y2	PROPN
ejpam-5087	75	61	,	,	PUNCT
ejpam-5087	75	62	u2	u2	PROPN
ejpam-5087	75	63	)	)	PUNCT
ejpam-5087	75	64	}	}	PUNCT
ejpam-5087	75	65	)	)	PUNCT
ejpam-5087	75	66	(	(	PUNCT
ejpam-5087	75	67	22	22	NUM
ejpam-5087	75	68	)	)	PUNCT
ejpam-5087	75	69	where	where	SCONJ
ejpam-5087	75	70	u0	u0	ADJ
ejpam-5087	75	71	=	=	NOUN
ejpam-5087	75	72	g(x0	g(x0	NOUN
ejpam-5087	75	73	,	,	PUNCT
ejpam-5087	75	74	y0	y0	PROPN
ejpam-5087	75	75	)	)	PUNCT
ejpam-5087	75	76	.	.	PUNCT
ejpam-5087	76	1	(	(	PUNCT
ejpam-5087	76	2	23	23	NUM
ejpam-5087	76	3	)	)	PUNCT
ejpam-5087	76	4	also	also	ADV
ejpam-5087	76	5	,	,	PUNCT
ejpam-5087	76	6	we	we	PRON
ejpam-5087	76	7	get	get	VERB
ejpam-5087	76	8	u1(x	u1(x	PROPN
ejpam-5087	76	9	,	,	PUNCT
ejpam-5087	76	10	y	y	NOUN
ejpam-5087	76	11	)	)	PUNCT
ejpam-5087	77	1	≈	≈	PROPN
ejpam-5087	77	2	u(x1	u(x1	ADJ
ejpam-5087	77	3	,	,	PUNCT
ejpam-5087	77	4	y1	y1	NOUN
ejpam-5087	77	5	)	)	PUNCT
ejpam-5087	77	6	=	=	SYM
ejpam-5087	77	7	g(x1	g(x1	NOUN
ejpam-5087	77	8	,	,	PUNCT
ejpam-5087	77	9	y1	y1	PROPN
ejpam-5087	77	10	)	)	PUNCT
ejpam-5087	77	11	+	+	CCONJ
ejpam-5087	77	12	f(x	f(x	PROPN
ejpam-5087	77	13	,	,	PUNCT
ejpam-5087	77	14	y	y	PROPN
ejpam-5087	77	15	,	,	PUNCT
ejpam-5087	77	16	∫	∫	PROPN
ejpam-5087	77	17	x	x	SYM
ejpam-5087	77	18	0	0	NUM
ejpam-5087	77	19	∫	∫	PROPN
ejpam-5087	77	20	y	y	PROPN
ejpam-5087	77	21	0	0	NUM
ejpam-5087	77	22	p(x1	p(x1	PROPN
ejpam-5087	77	23	,	,	PUNCT
ejpam-5087	77	24	y1	y1	PROPN
ejpam-5087	77	25	,	,	PUNCT
ejpam-5087	77	26	t	t	PROPN
ejpam-5087	77	27	,	,	PUNCT
ejpam-5087	77	28	s	s	PROPN
ejpam-5087	77	29	,	,	PUNCT
ejpam-5087	77	30	u1(t	u1(t	ADP
ejpam-5087	77	31	,	,	PUNCT
ejpam-5087	77	32	s))dtds	s))dtds	ADJ
ejpam-5087	77	33	)	)	PUNCT
ejpam-5087	77	34	(	(	PUNCT
ejpam-5087	77	35	24	24	NUM
ejpam-5087	77	36	)	)	PUNCT
ejpam-5087	77	37	u1	u1	NOUN
ejpam-5087	77	38	=	=	SYM
ejpam-5087	77	39	g(x1	g(x1	NOUN
ejpam-5087	77	40	,	,	PUNCT
ejpam-5087	77	41	y1)+f(x	y1)+f(x	PROPN
ejpam-5087	77	42	,	,	PUNCT
ejpam-5087	77	43	y	y	PROPN
ejpam-5087	77	44	,	,	PUNCT
ejpam-5087	77	45	h	h	PROPN
ejpam-5087	77	46	3	3	NUM
ejpam-5087	77	47	{	{	PUNCT
ejpam-5087	77	48	p(x1	p(x1	NOUN
ejpam-5087	77	49	,	,	PUNCT
ejpam-5087	77	50	y1	y1	NOUN
ejpam-5087	77	51	,	,	PUNCT
ejpam-5087	77	52	x0	x0	PROPN
ejpam-5087	77	53	,	,	PUNCT
ejpam-5087	77	54	y0	y0	PROPN
ejpam-5087	77	55	,	,	PUNCT
ejpam-5087	77	56	u0)+4p(x1	u0)+4p(x1	PROPN
ejpam-5087	77	57	,	,	PUNCT
ejpam-5087	77	58	y1	y1	NOUN
ejpam-5087	77	59	,	,	PUNCT
ejpam-5087	77	60	x1/2	x1/2	PROPN
ejpam-5087	77	61	,	,	PUNCT
ejpam-5087	77	62	y1/2	y1/2	ADJ
ejpam-5087	77	63	,	,	PUNCT
ejpam-5087	77	64	u1/2)+p(x1	u1/2)+p(x1	NOUN
ejpam-5087	77	65	,	,	PUNCT
ejpam-5087	77	66	y1	y1	NOUN
ejpam-5087	77	67	,	,	PUNCT
ejpam-5087	77	68	x1	x1	PROPN
ejpam-5087	77	69	,	,	PUNCT
ejpam-5087	77	70	y1	y1	NOUN
ejpam-5087	77	71	,	,	PUNCT
ejpam-5087	77	72	u1	u1	NOUN
ejpam-5087	77	73	)	)	PUNCT
ejpam-5087	77	74	}	}	PUNCT
ejpam-5087	77	75	(	(	PUNCT
ejpam-5087	77	76	25	25	NUM
ejpam-5087	77	77	)	)	PUNCT
ejpam-5087	77	78	therefore	therefore	ADV
ejpam-5087	77	79	,	,	PUNCT
ejpam-5087	77	80	we	we	PRON
ejpam-5087	77	81	obtain	obtain	VERB
ejpam-5087	77	82	:	:	PUNCT
ejpam-5087	77	83	u1/2	u1/2	NOUN
ejpam-5087	77	84	=	=	SYM
ejpam-5087	77	85	3	3	NUM
ejpam-5087	77	86	8	8	NUM
ejpam-5087	77	87	u0	u0	ADJ
ejpam-5087	77	88	+	+	NOUN
ejpam-5087	77	89	3	3	NUM
ejpam-5087	77	90	4	4	NUM
ejpam-5087	77	91	u1	u1	NOUN
ejpam-5087	77	92	−	−	NOUN
ejpam-5087	77	93	1	1	NUM
ejpam-5087	77	94	8	8	NUM
ejpam-5087	77	95	u2	u2	NOUN
ejpam-5087	77	96	(	(	PUNCT
ejpam-5087	77	97	26	26	NUM
ejpam-5087	77	98	)	)	PUNCT
ejpam-5087	77	99	substituting	substitute	VERB
ejpam-5087	77	100	(	(	PUNCT
ejpam-5087	77	101	26	26	NUM
ejpam-5087	77	102	)	)	PUNCT
ejpam-5087	77	103	into	into	ADP
ejpam-5087	77	104	(	(	PUNCT
ejpam-5087	77	105	25	25	NUM
ejpam-5087	77	106	)	)	PUNCT
ejpam-5087	77	107	,	,	PUNCT
ejpam-5087	77	108	we	we	PRON
ejpam-5087	77	109	obtain	obtain	VERB
ejpam-5087	77	110	:	:	PUNCT
ejpam-5087	77	111	u1	u1	NOUN
ejpam-5087	77	112	=	=	SYM
ejpam-5087	77	113	g(x1	g(x1	NOUN
ejpam-5087	77	114	,	,	PUNCT
ejpam-5087	77	115	y1	y1	PROPN
ejpam-5087	77	116	)	)	PUNCT
ejpam-5087	77	117	+	+	CCONJ
ejpam-5087	78	1	f(x	f(x	PROPN
ejpam-5087	78	2	,	,	PUNCT
ejpam-5087	78	3	y	y	PROPN
ejpam-5087	78	4	,	,	PUNCT
ejpam-5087	78	5	h	h	PROPN
ejpam-5087	78	6	3	3	NUM
ejpam-5087	78	7	{	{	PUNCT
ejpam-5087	78	8	p(x1	p(x1	NOUN
ejpam-5087	78	9	,	,	PUNCT
ejpam-5087	78	10	y1	y1	NOUN
ejpam-5087	78	11	,	,	PUNCT
ejpam-5087	78	12	x0	x0	PROPN
ejpam-5087	78	13	,	,	PUNCT
ejpam-5087	78	14	y0	y0	PROPN
ejpam-5087	78	15	,	,	PUNCT
ejpam-5087	78	16	u0	u0	ADJ
ejpam-5087	78	17	)	)	PUNCT
ejpam-5087	78	18	+	+	CCONJ
ejpam-5087	78	19	4p(x1	4p(x1	NUM
ejpam-5087	78	20	,	,	PUNCT
ejpam-5087	78	21	y1	y1	NOUN
ejpam-5087	78	22	,	,	PUNCT
ejpam-5087	78	23	x1/2	x1/2	PROPN
ejpam-5087	78	24	,	,	PUNCT
ejpam-5087	78	25	y1/2	y1/2	ADJ
ejpam-5087	78	26	,	,	PUNCT
ejpam-5087	78	27	3	3	NUM
ejpam-5087	78	28	8	8	NUM
ejpam-5087	78	29	u0	u0	ADJ
ejpam-5087	78	30	+	+	NOUN
ejpam-5087	78	31	3	3	NUM
ejpam-5087	78	32	4	4	NUM
ejpam-5087	78	33	u1	u1	NOUN
ejpam-5087	78	34	−	−	NOUN
ejpam-5087	78	35	1	1	NUM
ejpam-5087	78	36	8	8	NUM
ejpam-5087	78	37	u2	u2	NOUN
ejpam-5087	78	38	)	)	PUNCT
ejpam-5087	78	39	}	}	PUNCT
ejpam-5087	78	40	)	)	PUNCT
ejpam-5087	78	41	(	(	PUNCT
ejpam-5087	78	42	27	27	NUM
ejpam-5087	78	43	)	)	PUNCT
ejpam-5087	78	44	in	in	ADP
ejpam-5087	78	45	general	general	ADJ
ejpam-5087	78	46	,	,	PUNCT
ejpam-5087	78	47	consider	consider	VERB
ejpam-5087	78	48	(	(	PUNCT
ejpam-5087	78	49	20	20	NUM
ejpam-5087	78	50	)	)	PUNCT
ejpam-5087	78	51	,	,	PUNCT
ejpam-5087	78	52	where0	where0	NOUN
ejpam-5087	79	1	≤	≤	NUM
ejpam-5087	79	2	x	x	SYM
ejpam-5087	79	3	≤	≤	NUM
ejpam-5087	79	4	a	a	DET
ejpam-5087	79	5	,	,	PUNCT
ejpam-5087	79	6	0	0	NUM
ejpam-5087	79	7	≤	≤	NUM
ejpam-5087	79	8	y	y	PROPN
ejpam-5087	79	9	≤	≤	PROPN
ejpam-5087	79	10	b.	b.	PROPN
ejpam-5087	79	11	let0	let0	PROPN
ejpam-5087	79	12	=	=	PUNCT
ejpam-5087	80	1	x0	x0	PROPN
ejpam-5087	80	2	<	<	X
ejpam-5087	81	1	x1	x1	X
ejpam-5087	81	2	<	<	X
ejpam-5087	81	3	·	·	PUNCT
ejpam-5087	81	4	·	·	PUNCT
ejpam-5087	81	5	·	·	PUNCT
ejpam-5087	82	1	<	<	X
ejpam-5087	82	2	xn	xn	PUNCT
ejpam-5087	82	3	=	=	PUNCT
ejpam-5087	82	4	a	a	PRON
ejpam-5087	82	5	,	,	PUNCT
ejpam-5087	82	6	0	0	NUM
ejpam-5087	82	7	=	=	SYM
ejpam-5087	82	8	y0	y0	NOUN
ejpam-5087	82	9	<	<	X
ejpam-5087	82	10	y1	y1	X
ejpam-5087	82	11	<	<	X
ejpam-5087	82	12	·	·	PUNCT
ejpam-5087	82	13	·	·	PUNCT
ejpam-5087	82	14	·	·	PUNCT
ejpam-5087	82	15	<	<	X
ejpam-5087	82	16	yn	yn	X
ejpam-5087	82	17	=	=	SYM
ejpam-5087	82	18	b	b	PROPN
ejpam-5087	82	19	,	,	PUNCT
ejpam-5087	82	20	u2m+1(x	u2m+1(x	PROPN
ejpam-5087	82	21	,	,	PUNCT
ejpam-5087	82	22	y	y	NOUN
ejpam-5087	82	23	)	)	PUNCT
ejpam-5087	83	1	≈	≈	PROPN
ejpam-5087	83	2	u(x2m+1	u(x2m+1	PROPN
ejpam-5087	83	3	,	,	PUNCT
ejpam-5087	83	4	y2m+1	y2m+1	ADJ
ejpam-5087	83	5	)	)	PUNCT
ejpam-5087	83	6	=	=	SYM
ejpam-5087	83	7	g(x2m+1	g(x2m+1	NOUN
ejpam-5087	83	8	,	,	PUNCT
ejpam-5087	83	9	y2m+1)+f(x	y2m+1)+f(x	PROPN
ejpam-5087	83	10	,	,	PUNCT
ejpam-5087	83	11	y	y	PROPN
ejpam-5087	83	12	,	,	PUNCT
ejpam-5087	83	13	∫	∫	PROPN
ejpam-5087	83	14	x2m+1	x2m+1	PROPN
ejpam-5087	83	15	0	0	NUM
ejpam-5087	83	16	∫	∫	PROPN
ejpam-5087	84	1	y2m+1	y2m+1	PROPN
ejpam-5087	84	2	0	0	PROPN
ejpam-5087	84	3	p(x2m+1	p(x2m+1	PROPN
ejpam-5087	84	4	,	,	PUNCT
ejpam-5087	84	5	y2m+1	y2m+1	PROPN
ejpam-5087	84	6	,	,	PUNCT
ejpam-5087	84	7	t	t	PROPN
ejpam-5087	84	8	,	,	PUNCT
ejpam-5087	84	9	s	s	PROPN
ejpam-5087	84	10	,	,	PUNCT
ejpam-5087	84	11	u(t	u(t	NOUN
ejpam-5087	84	12	,	,	PUNCT
ejpam-5087	84	13	s))dtds	s))dtds	NUM
ejpam-5087	84	14	)	)	PUNCT
ejpam-5087	84	15	(	(	PUNCT
ejpam-5087	84	16	28	28	NUM
ejpam-5087	84	17	)	)	PUNCT
ejpam-5087	84	18	or	or	CCONJ
ejpam-5087	84	19	equivalently	equivalently	ADV
ejpam-5087	84	20	u2m+1(x	u2m+1(x	PROPN
ejpam-5087	84	21	,	,	PUNCT
ejpam-5087	84	22	y	y	NOUN
ejpam-5087	84	23	)	)	PUNCT
ejpam-5087	84	24	=	=	SYM
ejpam-5087	84	25	g(x2m+1	g(x2m+1	X
ejpam-5087	84	26	,	,	PUNCT
ejpam-5087	84	27	y2m+1	y2m+1	ADJ
ejpam-5087	84	28	)	)	PUNCT
ejpam-5087	84	29	+	+	CCONJ
ejpam-5087	84	30	f(x	f(x	PROPN
ejpam-5087	84	31	,	,	PUNCT
ejpam-5087	84	32	y	y	PROPN
ejpam-5087	84	33	,	,	PUNCT
ejpam-5087	84	34	∫	∫	PROPN
ejpam-5087	85	1	x2	x2	PROPN
ejpam-5087	85	2	m	m	PROPN
ejpam-5087	85	3	0	0	NUM
ejpam-5087	85	4	∫	∫	PROPN
ejpam-5087	85	5	y2	y2	PROPN
ejpam-5087	85	6	m	m	PROPN
ejpam-5087	85	7	0	0	NUM
ejpam-5087	85	8	p(x2m+1	p(x2m+1	PROPN
ejpam-5087	85	9	,	,	PUNCT
ejpam-5087	85	10	y2m+1	y2m+1	PROPN
ejpam-5087	85	11	,	,	PUNCT
ejpam-5087	85	12	t	t	PROPN
ejpam-5087	85	13	,	,	PUNCT
ejpam-5087	85	14	s	s	PROPN
ejpam-5087	85	15	,	,	PUNCT
ejpam-5087	85	16	u(t	u(t	NOUN
ejpam-5087	85	17	,	,	PUNCT
ejpam-5087	85	18	s))dtds)+	s))dtds)+	VERB
ejpam-5087	85	19	f(x	f(x	PROPN
ejpam-5087	85	20	,	,	PUNCT
ejpam-5087	85	21	y	y	PROPN
ejpam-5087	85	22	,	,	PUNCT
ejpam-5087	85	23	∫	∫	PROPN
ejpam-5087	86	1	x2m+1	x2m+1	PROPN
ejpam-5087	86	2	0	0	NUM
ejpam-5087	86	3	∫	∫	PROPN
ejpam-5087	86	4	y2m+1	y2m+1	PROPN
ejpam-5087	86	5	0	0	PROPN
ejpam-5087	86	6	p(x2m+1	p(x2m+1	PROPN
ejpam-5087	86	7	,	,	PUNCT
ejpam-5087	86	8	y2m+1	y2m+1	PROPN
ejpam-5087	86	9	,	,	PUNCT
ejpam-5087	86	10	t	t	PROPN
ejpam-5087	86	11	,	,	PUNCT
ejpam-5087	86	12	s	s	PROPN
ejpam-5087	86	13	,	,	PUNCT
ejpam-5087	86	14	u(t	u(t	NOUN
ejpam-5087	86	15	,	,	PUNCT
ejpam-5087	86	16	s))dtds	s))dtds	NOUN
ejpam-5087	86	17	)	)	PUNCT
ejpam-5087	86	18	(	(	PUNCT
ejpam-5087	86	19	29	29	NUM
ejpam-5087	86	20	)	)	PUNCT
ejpam-5087	86	21	then	then	ADV
ejpam-5087	86	22	,	,	PUNCT
ejpam-5087	86	23	u2m+1(x	u2m+1(x	PROPN
ejpam-5087	86	24	,	,	PUNCT
ejpam-5087	86	25	y	y	NOUN
ejpam-5087	86	26	)	)	PUNCT
ejpam-5087	86	27	=	=	SYM
ejpam-5087	86	28	g(x2m+1	g(x2m+1	X
ejpam-5087	86	29	,	,	PUNCT
ejpam-5087	86	30	y2m+1	y2m+1	ADJ
ejpam-5087	86	31	)	)	PUNCT
ejpam-5087	86	32	+	+	CCONJ
ejpam-5087	86	33	f(x	f(x	PROPN
ejpam-5087	86	34	,	,	PUNCT
ejpam-5087	86	35	y	y	PROPN
ejpam-5087	86	36	,	,	PUNCT
ejpam-5087	86	37	h3	h3	VERB
ejpam-5087	86	38	[	[	X
ejpam-5087	86	39	p(x2m+1	p(x2m+1	X
ejpam-5087	86	40	,	,	PUNCT
ejpam-5087	86	41	y2m+1	y2m+1	ADJ
ejpam-5087	86	42	,	,	PUNCT
ejpam-5087	86	43	x0	x0	PROPN
ejpam-5087	86	44	,	,	PUNCT
ejpam-5087	86	45	y0	y0	PROPN
ejpam-5087	86	46	,	,	PUNCT
ejpam-5087	86	47	u0)+	u0)+	PROPN
ejpam-5087	86	48	4p(x2m+1	4p(x2m+1	NUM
ejpam-5087	86	49	,	,	PUNCT
ejpam-5087	86	50	y2m+1	y2m+1	PROPN
ejpam-5087	86	51	,	,	PUNCT
ejpam-5087	86	52	x1	x1	PROPN
ejpam-5087	86	53	,	,	PUNCT
ejpam-5087	86	54	y1	y1	NOUN
ejpam-5087	86	55	,	,	PUNCT
ejpam-5087	86	56	u1	u1	NOUN
ejpam-5087	86	57	)	)	PUNCT
ejpam-5087	87	1	+	+	CCONJ
ejpam-5087	87	2	...	...	PUNCT
ejpam-5087	88	1	+	+	CCONJ
ejpam-5087	88	2	p(x2m+1	p(x2m+1	ADJ
ejpam-5087	88	3	,	,	PUNCT
ejpam-5087	88	4	y2m+1	y2m+1	ADJ
ejpam-5087	88	5	,	,	PUNCT
ejpam-5087	88	6	x2	x2	PROPN
ejpam-5087	88	7	m	m	PROPN
ejpam-5087	88	8	,	,	PUNCT
ejpam-5087	88	9	y2	y2	PROPN
ejpam-5087	88	10	m	m	PROPN
ejpam-5087	88	11	,	,	PUNCT
ejpam-5087	88	12	u2	u2	PROPN
ejpam-5087	88	13	m	m	PROPN
ejpam-5087	88	14	)	)	PUNCT
ejpam-5087	88	15	]	]	PUNCT
ejpam-5087	89	1	+	+	CCONJ
ejpam-5087	89	2	h	h	NOUN
ejpam-5087	89	3	6p(x2m+1	6p(x2m+1	NUM
ejpam-5087	89	4	,	,	PUNCT
ejpam-5087	89	5	y2m+1	y2m+1	NOUN
ejpam-5087	89	6	,	,	PUNCT
ejpam-5087	89	7	x2	x2	PROPN
ejpam-5087	89	8	m	m	PROPN
ejpam-5087	89	9	,	,	PUNCT
ejpam-5087	89	10	y2	y2	PROPN
ejpam-5087	89	11	m	m	PROPN
ejpam-5087	89	12	,	,	PUNCT
ejpam-5087	89	13	u2	u2	PROPN
ejpam-5087	89	14	m	m	NOUN
ejpam-5087	89	15	)	)	PUNCT
ejpam-5087	89	16	+2h	+2h	CCONJ
ejpam-5087	89	17	3	3	NUM
ejpam-5087	89	18	p(x2m+1	p(x2m+1	NOUN
ejpam-5087	89	19	,	,	PUNCT
ejpam-5087	89	20	y2m+1	y2m+1	PROPN
ejpam-5087	89	21	,	,	PUNCT
ejpam-5087	89	22	x2m+	x2m+	NOUN
ejpam-5087	89	23	1	1	NUM
ejpam-5087	89	24	2	2	NUM
ejpam-5087	89	25	,	,	PUNCT
ejpam-5087	89	26	y2m+	y2m+	NOUN
ejpam-5087	89	27	1	1	NUM
ejpam-5087	89	28	2	2	NUM
ejpam-5087	89	29	,	,	PUNCT
ejpam-5087	89	30	38u2	38u2	NUM
ejpam-5087	89	31	m	m	NOUN
ejpam-5087	89	32	+3	+3	PROPN
ejpam-5087	89	33	4u2m+1	4u2m+1	NUM
ejpam-5087	89	34	−	−	NUM
ejpam-5087	89	35	1	1	NUM
ejpam-5087	89	36	8u2m+2	8u2m+2	NUM
ejpam-5087	89	37	)	)	PUNCT
ejpam-5087	89	38	+	+	NUM
ejpam-5087	89	39	h	h	NOUN
ejpam-5087	89	40	6p(x2m+1	6p(x2m+1	NUM
ejpam-5087	89	41	,	,	PUNCT
ejpam-5087	89	42	y2m+1	y2m+1	PROPN
ejpam-5087	89	43	,	,	PUNCT
ejpam-5087	89	44	x2m+1	x2m+1	PROPN
ejpam-5087	89	45	,	,	PUNCT
ejpam-5087	89	46	y2m+1	y2m+1	PROPN
ejpam-5087	89	47	,	,	PUNCT
ejpam-5087	89	48	u2m+1	u2m+1	NOUN
ejpam-5087	89	49	)	)	PUNCT
ejpam-5087	89	50	)	)	PUNCT
ejpam-5087	89	51	(	(	PUNCT
ejpam-5087	89	52	30	30	NUM
ejpam-5087	89	53	)	)	PUNCT
ejpam-5087	89	54	also	also	ADV
ejpam-5087	89	55	,	,	PUNCT
ejpam-5087	89	56	u2m+2(x	u2m+2(x	PROPN
ejpam-5087	89	57	,	,	PUNCT
ejpam-5087	89	58	y	y	NOUN
ejpam-5087	89	59	)	)	PUNCT
ejpam-5087	89	60	=	=	SYM
ejpam-5087	89	61	g(x2m+2	g(x2m+2	PROPN
ejpam-5087	89	62	,	,	PUNCT
ejpam-5087	89	63	y2m+2	y2m+2	PROPN
ejpam-5087	89	64	)	)	PUNCT
ejpam-5087	89	65	+	+	CCONJ
ejpam-5087	89	66	f(x	f(x	PROPN
ejpam-5087	89	67	,	,	PUNCT
ejpam-5087	89	68	y	y	PROPN
ejpam-5087	89	69	,	,	PUNCT
ejpam-5087	89	70	∫	∫	PROPN
ejpam-5087	89	71	x2m+2	x2m+2	PROPN
ejpam-5087	89	72	0	0	NUM
ejpam-5087	90	1	∫	∫	PROPN
ejpam-5087	91	1	y2m+2	y2m+2	NOUN
ejpam-5087	91	2	0	0	NUM
ejpam-5087	91	3	p(x2m+2	p(x2m+2	PROPN
ejpam-5087	91	4	,	,	PUNCT
ejpam-5087	91	5	y2m+2	y2m+2	PROPN
ejpam-5087	91	6	,	,	PUNCT
ejpam-5087	91	7	t	t	PROPN
ejpam-5087	91	8	,	,	PUNCT
ejpam-5087	91	9	s	s	PROPN
ejpam-5087	91	10	,	,	PUNCT
ejpam-5087	91	11	u(t	u(t	NOUN
ejpam-5087	91	12	,	,	PUNCT
ejpam-5087	91	13	s))dtds	s))dtds	NOUN
ejpam-5087	91	14	)	)	PUNCT
ejpam-5087	91	15	(	(	PUNCT
ejpam-5087	91	16	31	31	NUM
ejpam-5087	91	17	)	)	PUNCT
ejpam-5087	91	18	a.	a.	NOUN
ejpam-5087	91	19	m.	m.	NOUN
ejpam-5087	91	20	al	al	PROPN
ejpam-5087	91	21	-	-	PROPN
ejpam-5087	91	22	bugami	bugami	PROPN
ejpam-5087	91	23	/	/	SYM
ejpam-5087	91	24	eur	eur	PROPN
ejpam-5087	91	25	.	.	PUNCT
ejpam-5087	92	1	j.	j.	PROPN
ejpam-5087	92	2	pure	pure	PROPN
ejpam-5087	92	3	appl	appl	PROPN
ejpam-5087	92	4	.	.	PROPN
ejpam-5087	92	5	math	math	PROPN
ejpam-5087	92	6	,	,	PUNCT
ejpam-5087	92	7	17	17	NUM
ejpam-5087	92	8	(	(	PUNCT
ejpam-5087	92	9	2	2	NUM
ejpam-5087	92	10	)	)	PUNCT
ejpam-5087	92	11	(	(	PUNCT
ejpam-5087	92	12	2024	2024	NUM
ejpam-5087	92	13	)	)	PUNCT
ejpam-5087	92	14	,	,	PUNCT
ejpam-5087	92	15	1070	1070	NUM
ejpam-5087	92	16	-	-	SYM
ejpam-5087	92	17	1081	1081	NUM
ejpam-5087	92	18	1075	1075	NUM
ejpam-5087	92	19	u2m+2	u2m+2	NOUN
ejpam-5087	92	20	=	=	SYM
ejpam-5087	92	21	g(x2m+2	g(x2m+2	PROPN
ejpam-5087	92	22	,	,	PUNCT
ejpam-5087	92	23	y2m+2	y2m+2	PROPN
ejpam-5087	92	24	)	)	PUNCT
ejpam-5087	93	1	+	+	CCONJ
ejpam-5087	93	2	f(x	f(x	PROPN
ejpam-5087	93	3	,	,	PUNCT
ejpam-5087	93	4	y	y	PROPN
ejpam-5087	93	5	,	,	PUNCT
ejpam-5087	93	6	h3{p(x2m+2	h3{p(x2m+2	PROPN
ejpam-5087	93	7	,	,	PUNCT
ejpam-5087	93	8	y2m+2	y2m+2	PROPN
ejpam-5087	93	9	,	,	PUNCT
ejpam-5087	93	10	x0	x0	PROPN
ejpam-5087	93	11	,	,	PUNCT
ejpam-5087	93	12	y0	y0	PROPN
ejpam-5087	93	13	,	,	PUNCT
ejpam-5087	93	14	u0)+	u0)+	PROPN
ejpam-5087	93	15	4p(x2m+2	4p(x2m+2	PROPN
ejpam-5087	93	16	,	,	PUNCT
ejpam-5087	93	17	y2m+2	y2m+2	PROPN
ejpam-5087	93	18	,	,	PUNCT
ejpam-5087	93	19	x1	x1	PROPN
ejpam-5087	93	20	,	,	PUNCT
ejpam-5087	93	21	y1	y1	NOUN
ejpam-5087	93	22	,	,	PUNCT
ejpam-5087	93	23	u1	u1	NOUN
ejpam-5087	93	24	)	)	PUNCT
ejpam-5087	93	25	+	+	CCONJ
ejpam-5087	93	26	...	...	PUNCT
ejpam-5087	94	1	+	+	CCONJ
ejpam-5087	94	2	p(x2m+2	p(x2m+2	NOUN
ejpam-5087	94	3	,	,	PUNCT
ejpam-5087	94	4	y2m+2	y2m+2	PROPN
ejpam-5087	94	5	,	,	PUNCT
ejpam-5087	94	6	x2m+2	x2m+2	PROPN
ejpam-5087	94	7	,	,	PUNCT
ejpam-5087	94	8	y2m+2	y2m+2	PROPN
ejpam-5087	94	9	,	,	PUNCT
ejpam-5087	94	10	u2m+2	u2m+2	NOUN
ejpam-5087	94	11	)	)	PUNCT
ejpam-5087	94	12	}	}	PUNCT
ejpam-5087	94	13	)	)	PUNCT
ejpam-5087	94	14	(	(	PUNCT
ejpam-5087	94	15	32	32	NUM
ejpam-5087	94	16	)	)	SYM
ejpam-5087	94	17	4	4	NUM
ejpam-5087	94	18	.	.	PUNCT
ejpam-5087	94	19	numerical	numerical	ADJ
ejpam-5087	94	20	experiments	experiment	NOUN
ejpam-5087	94	21	and	and	CCONJ
ejpam-5087	94	22	discussions	discussion	NOUN
ejpam-5087	94	23	1.consider	1.consider	NUM
ejpam-5087	94	24	u(x	u(x	NOUN
ejpam-5087	94	25	,	,	PUNCT
ejpam-5087	94	26	y	y	NOUN
ejpam-5087	94	27	)	)	PUNCT
ejpam-5087	95	1	=	=	SYM
ejpam-5087	95	2	g(x	g(x	NOUN
ejpam-5087	95	3	,	,	PUNCT
ejpam-5087	95	4	y	y	NOUN
ejpam-5087	95	5	)	)	PUNCT
ejpam-5087	96	1	+	+	CCONJ
ejpam-5087	96	2	f(x	f(x	PROPN
ejpam-5087	96	3	,	,	PUNCT
ejpam-5087	96	4	y	y	PROPN
ejpam-5087	96	5	,	,	PUNCT
ejpam-5087	96	6	∫	∫	PROPN
ejpam-5087	96	7	x	x	SYM
ejpam-5087	96	8	0	0	NUM
ejpam-5087	96	9	∫	∫	PROPN
ejpam-5087	96	10	y	y	PROPN
ejpam-5087	96	11	0	0	NUM
ejpam-5087	96	12	(	(	PUNCT
ejpam-5087	96	13	xys)(u(t	xys)(u(t	PROPN
ejpam-5087	96	14	,	,	PUNCT
ejpam-5087	96	15	s))kdtds	s))kdtds	NOUN
ejpam-5087	96	16	(	(	PUNCT
ejpam-5087	96	17	33	33	NUM
ejpam-5087	96	18	)	)	PUNCT
ejpam-5087	96	19	u	u	NOUN
ejpam-5087	96	20	(	(	PUNCT
ejpam-5087	96	21	x	x	NOUN
ejpam-5087	96	22	,	,	PUNCT
ejpam-5087	96	23	y	y	NOUN
ejpam-5087	96	24	)	)	PUNCT
ejpam-5087	97	1	=	=	PUNCT
ejpam-5087	97	2	xy	xy	PROPN
ejpam-5087	97	3	is	be	AUX
ejpam-5087	97	4	the	the	DET
ejpam-5087	97	5	exact	exact	ADJ
ejpam-5087	97	6	solution	solution	NOUN
ejpam-5087	97	7	.	.	PUNCT
ejpam-5087	98	1	if	if	SCONJ
ejpam-5087	98	2	we	we	PRON
ejpam-5087	98	3	set	set	VERB
ejpam-5087	98	4	k=1	k=1	PRON
ejpam-5087	98	5	,	,	PUNCT
ejpam-5087	98	6	in	in	ADP
ejpam-5087	98	7	(	(	PUNCT
ejpam-5087	98	8	33	33	NUM
ejpam-5087	98	9	)	)	PUNCT
ejpam-5087	98	10	,	,	PUNCT
ejpam-5087	98	11	one	one	PRON
ejpam-5087	98	12	has	have	VERB
ejpam-5087	98	13	u(x	u(x	NOUN
ejpam-5087	98	14	,	,	PUNCT
ejpam-5087	98	15	y	y	NOUN
ejpam-5087	98	16	)	)	PUNCT
ejpam-5087	98	17	=	=	SYM
ejpam-5087	99	1	g(x	g(x	NOUN
ejpam-5087	99	2	,	,	PUNCT
ejpam-5087	99	3	y	y	NOUN
ejpam-5087	99	4	)	)	PUNCT
ejpam-5087	100	1	+	+	CCONJ
ejpam-5087	100	2	f(x	f(x	PROPN
ejpam-5087	100	3	,	,	PUNCT
ejpam-5087	100	4	y	y	PROPN
ejpam-5087	100	5	,	,	PUNCT
ejpam-5087	100	6	∫	∫	PROPN
ejpam-5087	100	7	x	x	SYM
ejpam-5087	100	8	0	0	NUM
ejpam-5087	100	9	∫	∫	PROPN
ejpam-5087	100	10	y	y	PROPN
ejpam-5087	100	11	0	0	NUM
ejpam-5087	100	12	(	(	PUNCT
ejpam-5087	100	13	xys)u(t	xys)u(t	PROPN
ejpam-5087	100	14	,	,	PUNCT
ejpam-5087	100	15	s)dtds	s)dtds	PROPN
ejpam-5087	100	16	(	(	PUNCT
ejpam-5087	100	17	34	34	NUM
ejpam-5087	100	18	)	)	PUNCT
ejpam-5087	100	19	which	which	PRON
ejpam-5087	100	20	is	be	AUX
ejpam-5087	100	21	refereed	refereed	ADJ
ejpam-5087	100	22	to	to	ADP
ejpam-5087	100	23	aslt	aslt	NOUN
ejpam-5087	100	24	-	-	PUNCT
ejpam-5087	100	25	dfvie	dfvie	ADJ
ejpam-5087	100	26	,	,	PUNCT
ejpam-5087	100	27	and	and	CCONJ
ejpam-5087	100	28	if	if	SCONJ
ejpam-5087	100	29	we	we	PRON
ejpam-5087	100	30	set	set	VERB
ejpam-5087	100	31	ϕ(x)in	ϕ(x)in	PROPN
ejpam-5087	100	32	(	(	PUNCT
ejpam-5087	100	33	33	33	NUM
ejpam-5087	100	34	)	)	PUNCT
ejpam-5087	100	35	,	,	PUNCT
ejpam-5087	100	36	we	we	PRON
ejpam-5087	100	37	obtained	obtain	VERB
ejpam-5087	100	38	the	the	DET
ejpam-5087	100	39	integral	integral	ADJ
ejpam-5087	100	40	equation	equation	NOUN
ejpam-5087	100	41	,	,	PUNCT
ejpam-5087	100	42	may	may	AUX
ejpam-5087	100	43	consider	consider	VERB
ejpam-5087	100	44	the	the	DET
ejpam-5087	100	45	suggestion	suggestion	NOUN
ejpam-5087	100	46	is	be	AUX
ejpam-5087	100	47	called	call	VERB
ejpam-5087	100	48	the	the	DET
ejpam-5087	100	49	nt	not	PART
ejpam-5087	100	50	-	-	PUNCT
ejpam-5087	100	51	dfvie	dfvie	NOUN
ejpam-5087	100	52	of	of	ADP
ejpam-5087	100	53	the	the	DET
ejpam-5087	100	54	second	second	ADJ
ejpam-5087	100	55	kind	kind	NOUN
ejpam-5087	100	56	.	.	PUNCT
ejpam-5087	101	1	additionally	additionally	ADV
ejpam-5087	101	2	,	,	PUNCT
ejpam-5087	101	3	the	the	DET
ejpam-5087	101	4	associated	associated	ADJ
ejpam-5087	101	5	errors	error	NOUN
ejpam-5087	101	6	are	be	AUX
ejpam-5087	101	7	calculated	calculate	VERB
ejpam-5087	101	8	for	for	ADP
ejpam-5087	101	9	both	both	CCONJ
ejpam-5087	101	10	the	the	DET
ejpam-5087	101	11	linear	linear	ADJ
ejpam-5087	101	12	and	and	CCONJ
ejpam-5087	101	13	nonlinear	nonlinear	ADJ
ejpam-5087	101	14	cases	case	NOUN
ejpam-5087	101	15	.	.	PUNCT
ejpam-5087	102	1	we	we	PRON
ejpam-5087	102	2	solve	solve	VERB
ejpam-5087	102	3	(	(	PUNCT
ejpam-5087	102	4	33	33	NUM
ejpam-5087	102	5	)	)	PUNCT
ejpam-5087	102	6	using	use	VERB
ejpam-5087	102	7	adm	adm	PROPN
ejpam-5087	102	8	and	and	CCONJ
ejpam-5087	102	9	bbm	bbm	PROPN
ejpam-5087	102	10	.	.	PUNCT
ejpam-5087	103	1	in	in	ADP
ejpam-5087	103	2	the	the	DET
ejpam-5087	103	3	following	follow	VERB
ejpam-5087	103	4	tables	table	NOUN
ejpam-5087	103	5	(	(	PUNCT
ejpam-5087	103	6	1)-(2	1)-(2	NUM
ejpam-5087	103	7	)	)	PUNCT
ejpam-5087	103	8	we	we	PRON
ejpam-5087	103	9	present	present	VERB
ejpam-5087	103	10	the	the	DET
ejpam-5087	103	11	exact	exact	ADJ
ejpam-5087	103	12	solution	solution	NOUN
ejpam-5087	103	13	(	(	PUNCT
ejpam-5087	103	14	uexac	uexac	PROPN
ejpam-5087	103	15	)	)	PUNCT
ejpam-5087	103	16	and	and	CCONJ
ejpam-5087	103	17	the	the	DET
ejpam-5087	103	18	approximate	approximate	ADJ
ejpam-5087	103	19	solutions	solution	NOUN
ejpam-5087	103	20	(	(	PUNCT
ejpam-5087	103	21	uadm	uadm	NOUN
ejpam-5087	103	22	,	,	PUNCT
ejpam-5087	103	23	ubbm	ubbm	ADJ
ejpam-5087	103	24	)	)	PUNCT
ejpam-5087	103	25	,	,	PUNCT
ejpam-5087	103	26	and	and	CCONJ
ejpam-5087	103	27	the	the	DET
ejpam-5087	103	28	corresponding	corresponding	ADJ
ejpam-5087	103	29	errors	error	NOUN
ejpam-5087	103	30	(	(	PUNCT
ejpam-5087	103	31	erroradm	erroradm	ADJ
ejpam-5087	103	32	,	,	PUNCT
ejpam-5087	103	33	errorbbm	errorbbm	PROPN
ejpam-5087	103	34	)	)	PUNCT
ejpam-5087	103	35	at	at	ADP
ejpam-5087	103	36	n=	n=	ADJ
ejpam-5087	103	37	10	10	NUM
ejpam-5087	103	38	.	.	PUNCT
ejpam-5087	104	1	block	block	NOUN
ejpam-5087	104	2	-	-	PUNCT
ejpam-5087	104	3	byblock	byblock	NOUN
ejpam-5087	104	4	method	method	NOUN
ejpam-5087	104	5	adm	adm	PROPN
ejpam-5087	104	6	uexact	uexact	ADJ
ejpam-5087	104	7	y	y	PROPN
ejpam-5087	104	8	x	x	PUNCT
ejpam-5087	104	9	errorbbm	errorbbm	PROPN
ejpam-5087	104	10	ubbm	ubbm	PROPN
ejpam-5087	104	11	erroradm	erroradm	VERB
ejpam-5087	104	12	uadm	uadm	NOUN
ejpam-5087	104	13	0.00000	0.00000	NUM
ejpam-5087	104	14	0.000000	0.000000	NUM
ejpam-5087	104	15	0.00000000	0.00000000	NUM
ejpam-5087	104	16	0.0000000	0.0000000	NUM
ejpam-5087	104	17	0.0000000	0.0000000	NUM
ejpam-5087	104	18	0.0	0.0	NUM
ejpam-5087	104	19	0.0	0.0	NUM
ejpam-5087	104	20	0.6950×10−8	0.6950×10−8	NUM
ejpam-5087	104	21	0.0100000	0.0100000	NUM
ejpam-5087	104	22	0.277777×10−8	0.277777×10−8	NOUN
ejpam-5087	104	23	0.0100000	0.0100000	NUM
ejpam-5087	104	24	0.0100000	0.0100000	NUM
ejpam-5087	104	25	0.1	0.1	NUM
ejpam-5087	104	26	0.1	0.1	NUM
ejpam-5087	104	27	0.44804×10−5	0.44804×10−5	NUM
ejpam-5087	104	28	0.0400044	0.0400044	NUM
ejpam-5087	104	29	0.355560×10−6	0.355560×10−6	NOUN
ejpam-5087	104	30	0.0400003	0.0400003	NUM
ejpam-5087	104	31	0.0400000	0.0400000	NUM
ejpam-5087	104	32	0.2	0.2	NUM
ejpam-5087	104	33	0.2	0.2	NUM
ejpam-5087	104	34	0.00004059	0.00004059	NUM
ejpam-5087	104	35	0.09004059	0.09004059	NUM
ejpam-5087	104	36	0.607559×10−5	0.607559×10−5	NUM
ejpam-5087	104	37	0.0900006	0.0900006	NUM
ejpam-5087	104	38	0.0900000	0.0900000	NUM
ejpam-5087	104	39	0.3	0.3	NUM
ejpam-5087	104	40	0.3	0.3	NUM
ejpam-5087	104	41	0.00024690	0.00024690	NUM
ejpam-5087	104	42	0.16024690	0.16024690	NUM
ejpam-5087	104	43	0.000045529	0.000045529	NUM
ejpam-5087	104	44	0.1600455	0.1600455	NUM
ejpam-5087	104	45	0.1600000	0.1600000	NUM
ejpam-5087	104	46	0.4	0.4	NUM
ejpam-5087	104	47	0.4	0.4	NUM
ejpam-5087	104	48	0.00179211	0.00179211	NUM
ejpam-5087	104	49	0.25179211	0.25179211	NUM
ejpam-5087	104	50	0.000217285	0.000217285	NUM
ejpam-5087	104	51	0.2502172	0.2502172	NUM
ejpam-5087	104	52	0.2500000	0.2500000	NUM
ejpam-5087	104	53	0.5	0.5	NUM
ejpam-5087	104	54	0.5	0.5	NUM
ejpam-5087	104	55	0.01059498	0.01059498	NUM
ejpam-5087	104	56	0.34940502	0.34940502	NUM
ejpam-5087	104	57	0.000780024	0.000780024	NUM
ejpam-5087	104	58	0.3607800	0.3607800	NUM
ejpam-5087	104	59	0.3600000	0.3600000	NUM
ejpam-5087	104	60	0.6	0.6	NUM
ejpam-5087	104	61	0.6	0.6	NUM
ejpam-5087	104	62	0.01366165	0.01366165	NUM
ejpam-5087	104	63	0.50366165	0.50366165	NUM
ejpam-5087	104	64	0.002303060	0.002303060	NUM
ejpam-5087	104	65	0.4923030	0.4923030	NUM
ejpam-5087	104	66	0.4900000	0.4900000	NUM
ejpam-5087	104	67	0.7	0.7	NUM
ejpam-5087	104	68	0.7	0.7	NUM
ejpam-5087	104	69	0.03285243	0.03285243	NUM
ejpam-5087	104	70	0.67285243	0.67285243	NUM
ejpam-5087	104	71	0.005902298	0.005902298	NUM
ejpam-5087	104	72	0.6459022	0.6459022	NUM
ejpam-5087	104	73	0.6400000	0.6400000	NUM
ejpam-5087	104	74	0.8	0.8	NUM
ejpam-5087	104	75	0.8	0.8	NUM
ejpam-5087	104	76	0.04750594	0.04750594	NUM
ejpam-5087	104	77	0.85750594	0.85750594	NUM
ejpam-5087	104	78	0.013603387	0.013603387	NUM
ejpam-5087	104	79	0.8236033	0.8236033	NUM
ejpam-5087	104	80	0.8100000	0.8100000	NUM
ejpam-5087	104	81	0.9	0.9	NUM
ejpam-5087	104	82	0.9	0.9	NUM
ejpam-5087	104	83	0.08797644	0.08797644	NUM
ejpam-5087	104	84	1.08797645	1.08797645	NUM
ejpam-5087	104	85	0.028908955	0.028908955	NUM
ejpam-5087	104	86	1.0289089	1.0289089	NUM
ejpam-5087	104	87	1.0000000	1.0000000	NUM
ejpam-5087	104	88	1.0	1.0	NUM
ejpam-5087	104	89	1.0	1.0	NUM
ejpam-5087	104	90	table	table	NOUN
ejpam-5087	104	91	(	(	PUNCT
ejpam-5087	104	92	1	1	NUM
ejpam-5087	104	93	)	)	PUNCT
ejpam-5087	104	94	numerical	numerical	ADJ
ejpam-5087	104	95	results	result	NOUN
ejpam-5087	104	96	by	by	ADP
ejpam-5087	104	97	using	use	VERB
ejpam-5087	104	98	bbm	bbm	PROPN
ejpam-5087	104	99	and	and	CCONJ
ejpam-5087	104	100	adm	adm	PROPN
ejpam-5087	104	101	,	,	PUNCT
ejpam-5087	104	102	n=10,k=1	n=10,k=1	PROPN
ejpam-5087	104	103	.	.	PUNCT
ejpam-5087	105	1	a.	a.	PROPN
ejpam-5087	105	2	m.	m.	PROPN
ejpam-5087	105	3	al	al	PROPN
ejpam-5087	105	4	-	-	PROPN
ejpam-5087	105	5	bugami	bugami	PROPN
ejpam-5087	105	6	/	/	SYM
ejpam-5087	105	7	eur	eur	PROPN
ejpam-5087	105	8	.	.	PUNCT
ejpam-5087	106	1	j.	j.	PROPN
ejpam-5087	106	2	pure	pure	PROPN
ejpam-5087	106	3	appl	appl	PROPN
ejpam-5087	106	4	.	.	PROPN
ejpam-5087	106	5	math	math	PROPN
ejpam-5087	106	6	,	,	PUNCT
ejpam-5087	106	7	17	17	NUM
ejpam-5087	106	8	(	(	PUNCT
ejpam-5087	106	9	2	2	NUM
ejpam-5087	106	10	)	)	PUNCT
ejpam-5087	106	11	(	(	PUNCT
ejpam-5087	106	12	2024	2024	NUM
ejpam-5087	106	13	)	)	PUNCT
ejpam-5087	106	14	,	,	PUNCT
ejpam-5087	106	15	1070	1070	NUM
ejpam-5087	106	16	-	-	SYM
ejpam-5087	106	17	1081	1081	NUM
ejpam-5087	106	18	1076	1076	NUM
ejpam-5087	106	19	fig	fig	NOUN
ejpam-5087	106	20	.	.	PUNCT
ejpam-5087	107	1	1	1	NUM
ejpam-5087	107	2	,	,	PUNCT
ejpam-5087	107	3	the	the	DET
ejpam-5087	107	4	plot	plot	NOUN
ejpam-5087	107	5	3d	3d	NUM
ejpam-5087	107	6	errors	error	NOUN
ejpam-5087	107	7	for	for	ADP
ejpam-5087	107	8	the	the	DET
ejpam-5087	107	9	value	value	NOUN
ejpam-5087	107	10	of	of	ADP
ejpam-5087	107	11	errors	error	NOUN
ejpam-5087	107	12	by	by	ADP
ejpam-5087	107	13	using	use	VERB
ejpam-5087	107	14	bbm	bbm	PROPN
ejpam-5087	107	15	and	and	CCONJ
ejpam-5087	107	16	adm	adm	PROPN
ejpam-5087	107	17	,	,	PUNCT
ejpam-5087	107	18	n=10	n=10	PRON
ejpam-5087	107	19	,	,	PUNCT
ejpam-5087	107	20	k=1	k=1	NOUN
ejpam-5087	107	21	.	.	PUNCT
ejpam-5087	107	22	block	block	NOUN
ejpam-5087	107	23	-	-	PUNCT
ejpam-5087	107	24	byblock	byblock	NOUN
ejpam-5087	107	25	method	method	NOUN
ejpam-5087	107	26	adm	adm	PROPN
ejpam-5087	107	27	uexact	uexact	ADJ
ejpam-5087	107	28	y	y	PROPN
ejpam-5087	107	29	x	x	PUNCT
ejpam-5087	107	30	errorbbm	errorbbm	PROPN
ejpam-5087	107	31	ubbm	ubbm	PROPN
ejpam-5087	107	32	erroradm	erroradm	ADJ
ejpam-5087	107	33	uadm	uadm	NOUN
ejpam-5087	107	34	0.000000	0.000000	NUM
ejpam-5087	107	35	0.0000000	0.0000000	NUM
ejpam-5087	107	36	0.000000	0.000000	NUM
ejpam-5087	107	37	0.0000000	0.0000000	NUM
ejpam-5087	107	38	0.0000000	0.0000000	NUM
ejpam-5087	107	39	0.0	0.0	NUM
ejpam-5087	107	40	0.0	0.0	NUM
ejpam-5087	107	41	0.20760×10−7	0.20760×10−7	NOUN
ejpam-5087	107	42	0.01000002	0.01000002	NUM
ejpam-5087	107	43	0.16590×10−7	0.16590×10−7	NOUN
ejpam-5087	107	44	0.0100000	0.0100000	NUM
ejpam-5087	107	45	0.0100000	0.0100000	NUM
ejpam-5087	107	46	0.1	0.1	NUM
ejpam-5087	107	47	0.1	0.1	NUM
ejpam-5087	107	48	0.44804×10−5	0.44804×10−5	PRON
ejpam-5087	108	1	0.04000448	0.04000448	NUM
ejpam-5087	108	2	0.20942×10−5	0.20942×10−5	NUM
ejpam-5087	108	3	0.0400020	0.0400020	NUM
ejpam-5087	108	4	0.0400000	0.0400000	NUM
ejpam-5087	108	5	0.2	0.2	NUM
ejpam-5087	108	6	0.2	0.2	NUM
ejpam-5087	108	7	0.000040593	0.000040593	NUM
ejpam-5087	108	8	0.09004059	0.09004059	NUM
ejpam-5087	108	9	0.000034949	0.000034949	NUM
ejpam-5087	109	1	0.0900349	0.0900349	NUM
ejpam-5087	109	2	0.0900000	0.0900000	NUM
ejpam-5087	109	3	0.3	0.3	NUM
ejpam-5087	109	4	0.3	0.3	NUM
ejpam-5087	109	5	0.000246903	0.000246903	NUM
ejpam-5087	109	6	0.16024690	0.16024690	NUM
ejpam-5087	109	7	0.000253147	0.000253147	NUM
ejpam-5087	109	8	0.1602531	0.1602531	NUM
ejpam-5087	109	9	0.1600000	0.1600000	NUM
ejpam-5087	109	10	0.4	0.4	NUM
ejpam-5087	109	11	0.4	0.4	NUM
ejpam-5087	109	12	0.001792115	0.001792115	NUM
ejpam-5087	109	13	0.25179211	0.25179211	NUM
ejpam-5087	109	14	0.001154385	0.001154385	NUM
ejpam-5087	109	15	0.2511543	0.2511543	NUM
ejpam-5087	109	16	0.2500000	0.2500000	NUM
ejpam-5087	109	17	0.5	0.5	NUM
ejpam-5087	109	18	0.5	0.5	NUM
ejpam-5087	109	19	0.010594983	0.010594983	NUM
ejpam-5087	109	20	0.34940501	0.34940501	NUM
ejpam-5087	109	21	0.003908646	0.003908646	NUM
ejpam-5087	109	22	0.3639086	0.3639086	NUM
ejpam-5087	109	23	0.3600000	0.3600000	NUM
ejpam-5087	109	24	0.6	0.6	NUM
ejpam-5087	109	25	0.6	0.6	NUM
ejpam-5087	109	26	0.013661652	0.013661652	NUM
ejpam-5087	109	27	0.50366165	0.50366165	NUM
ejpam-5087	109	28	0.010721293	0.010721293	NUM
ejpam-5087	109	29	0.5007212	0.5007212	NUM
ejpam-5087	109	30	0.4900000	0.4900000	NUM
ejpam-5087	109	31	0.7	0.7	NUM
ejpam-5087	109	32	0.7	0.7	NUM
ejpam-5087	109	33	0.032852435	0.032852435	NUM
ejpam-5087	109	34	0.67285243	0.67285243	NUM
ejpam-5087	109	35	0.025066934	0.025066934	NUM
ejpam-5087	109	36	0.6650669	0.6650669	NUM
ejpam-5087	109	37	0.6400000	0.6400000	NUM
ejpam-5087	109	38	0.8	0.8	NUM
ejpam-5087	109	39	0.8	0.8	NUM
ejpam-5087	109	40	0.047505948	0.047505948	NUM
ejpam-5087	109	41	0.85750594	0.85750594	NUM
ejpam-5087	109	42	0.051535161	0.051535161	NUM
ejpam-5087	109	43	0.8615351	0.8615351	NUM
ejpam-5087	109	44	0.8100000	0.8100000	NUM
ejpam-5087	109	45	0.9	0.9	NUM
ejpam-5087	109	46	0.9	0.9	NUM
ejpam-5087	109	47	0.087976455	0.087976455	NUM
ejpam-5087	109	48	1.08797645	1.08797645	NUM
ejpam-5087	109	49	0.094913086	0.094913086	NUM
ejpam-5087	109	50	1.0949130	1.0949130	NUM
ejpam-5087	109	51	1.0000000	1.0000000	NUM
ejpam-5087	109	52	1.0	1.0	NUM
ejpam-5087	109	53	1.0	1.0	NUM
ejpam-5087	109	54	table(2	table(2	PROPN
ejpam-5087	109	55	)	)	PUNCT
ejpam-5087	109	56	numerical	numerical	ADJ
ejpam-5087	109	57	results	result	NOUN
ejpam-5087	109	58	by	by	ADP
ejpam-5087	109	59	using	use	VERB
ejpam-5087	109	60	bbm	bbm	PROPN
ejpam-5087	109	61	and	and	CCONJ
ejpam-5087	109	62	adm	adm	PROPN
ejpam-5087	109	63	,	,	PUNCT
ejpam-5087	109	64	n=10,k=2	n=10,k=2	X
ejpam-5087	109	65	.	.	PUNCT
ejpam-5087	110	1	a.	a.	PROPN
ejpam-5087	110	2	m.	m.	PROPN
ejpam-5087	110	3	al	al	PROPN
ejpam-5087	110	4	-	-	PROPN
ejpam-5087	110	5	bugami	bugami	PROPN
ejpam-5087	110	6	/	/	SYM
ejpam-5087	110	7	eur	eur	PROPN
ejpam-5087	110	8	.	.	PUNCT
ejpam-5087	111	1	j.	j.	PROPN
ejpam-5087	111	2	pure	pure	PROPN
ejpam-5087	111	3	appl	appl	PROPN
ejpam-5087	111	4	.	.	PROPN
ejpam-5087	111	5	math	math	PROPN
ejpam-5087	111	6	,	,	PUNCT
ejpam-5087	111	7	17	17	NUM
ejpam-5087	111	8	(	(	PUNCT
ejpam-5087	111	9	2	2	NUM
ejpam-5087	111	10	)	)	PUNCT
ejpam-5087	111	11	(	(	PUNCT
ejpam-5087	111	12	2024	2024	NUM
ejpam-5087	111	13	)	)	PUNCT
ejpam-5087	111	14	,	,	PUNCT
ejpam-5087	111	15	1070	1070	NUM
ejpam-5087	111	16	-	-	SYM
ejpam-5087	111	17	1081	1081	NUM
ejpam-5087	111	18	1077	1077	NUM
ejpam-5087	111	19	fig	fig	NOUN
ejpam-5087	111	20	.	.	PUNCT
ejpam-5087	112	1	2	2	NUM
ejpam-5087	112	2	,	,	PUNCT
ejpam-5087	112	3	the	the	DET
ejpam-5087	112	4	plot	plot	NOUN
ejpam-5087	112	5	3d	3d	NUM
ejpam-5087	112	6	errors	error	NOUN
ejpam-5087	112	7	for	for	ADP
ejpam-5087	112	8	the	the	DET
ejpam-5087	112	9	value	value	NOUN
ejpam-5087	112	10	of	of	ADP
ejpam-5087	112	11	errors	error	NOUN
ejpam-5087	112	12	by	by	ADP
ejpam-5087	112	13	using	use	VERB
ejpam-5087	112	14	bbm	bbm	PROPN
ejpam-5087	112	15	and	and	CCONJ
ejpam-5087	112	16	adm	adm	PROPN
ejpam-5087	112	17	,	,	PUNCT
ejpam-5087	112	18	n=10	n=10	PRON
ejpam-5087	112	19	,	,	PUNCT
ejpam-5087	112	20	k=2	k=2	PROPN
ejpam-5087	112	21	.	.	PUNCT
ejpam-5087	113	1	2.consider	2.consider	NUM
ejpam-5087	113	2	u(x	u(x	NOUN
ejpam-5087	113	3	,	,	PUNCT
ejpam-5087	113	4	y	y	NOUN
ejpam-5087	113	5	)	)	PUNCT
ejpam-5087	113	6	=	=	SYM
ejpam-5087	114	1	g(x	g(x	NOUN
ejpam-5087	114	2	,	,	PUNCT
ejpam-5087	114	3	y	y	NOUN
ejpam-5087	114	4	)	)	PUNCT
ejpam-5087	115	1	+	+	CCONJ
ejpam-5087	115	2	f(x	f(x	PROPN
ejpam-5087	115	3	,	,	PUNCT
ejpam-5087	115	4	y	y	PROPN
ejpam-5087	115	5	,	,	PUNCT
ejpam-5087	115	6	∫	∫	PROPN
ejpam-5087	115	7	x	x	SYM
ejpam-5087	115	8	0	0	NUM
ejpam-5087	115	9	∫	∫	PROPN
ejpam-5087	115	10	y	y	PROPN
ejpam-5087	115	11	0	0	NUM
ejpam-5087	115	12	(	(	PUNCT
ejpam-5087	115	13	xy)(u(t	xy)(u(t	PROPN
ejpam-5087	115	14	,	,	PUNCT
ejpam-5087	115	15	s))kdtds	s))kdtds	NOUN
ejpam-5087	115	16	(	(	PUNCT
ejpam-5087	115	17	35	35	NUM
ejpam-5087	115	18	)	)	PUNCT
ejpam-5087	115	19	u(x	u(x	NOUN
ejpam-5087	115	20	,	,	PUNCT
ejpam-5087	115	21	y	y	NOUN
ejpam-5087	115	22	)	)	PUNCT
ejpam-5087	116	1	=	=	SYM
ejpam-5087	116	2	xy/2	xy/2	NOUN
ejpam-5087	116	3	is	be	AUX
ejpam-5087	116	4	the	the	DET
ejpam-5087	116	5	exact	exact	ADJ
ejpam-5087	116	6	solution	solution	NOUN
ejpam-5087	116	7	,	,	PUNCT
ejpam-5087	116	8	if	if	SCONJ
ejpam-5087	116	9	we	we	PRON
ejpam-5087	116	10	set	set	VERB
ejpam-5087	116	11	k=1	k=1	PRON
ejpam-5087	116	12	,	,	PUNCT
ejpam-5087	116	13	in	in	ADP
ejpam-5087	116	14	(	(	PUNCT
ejpam-5087	116	15	35	35	NUM
ejpam-5087	116	16	)	)	PUNCT
ejpam-5087	116	17	,	,	PUNCT
ejpam-5087	116	18	one	one	PRON
ejpam-5087	116	19	has	have	VERB
ejpam-5087	116	20	u(x	u(x	NOUN
ejpam-5087	116	21	,	,	PUNCT
ejpam-5087	116	22	y	y	NOUN
ejpam-5087	116	23	)	)	PUNCT
ejpam-5087	116	24	=	=	SYM
ejpam-5087	117	1	g(x	g(x	NOUN
ejpam-5087	117	2	,	,	PUNCT
ejpam-5087	117	3	y	y	NOUN
ejpam-5087	117	4	)	)	PUNCT
ejpam-5087	118	1	+	+	CCONJ
ejpam-5087	118	2	f(x	f(x	PROPN
ejpam-5087	118	3	,	,	PUNCT
ejpam-5087	118	4	y	y	PROPN
ejpam-5087	118	5	,	,	PUNCT
ejpam-5087	118	6	∫	∫	PROPN
ejpam-5087	118	7	x	x	SYM
ejpam-5087	118	8	0	0	NUM
ejpam-5087	118	9	∫	∫	PROPN
ejpam-5087	118	10	y	y	PROPN
ejpam-5087	118	11	0	0	NUM
ejpam-5087	118	12	(	(	PUNCT
ejpam-5087	118	13	xy)u(t	xy)u(t	PROPN
ejpam-5087	118	14	,	,	PUNCT
ejpam-5087	118	15	s)dtds	s)dtds	X
ejpam-5087	118	16	(	(	PUNCT
ejpam-5087	118	17	36	36	NUM
ejpam-5087	118	18	)	)	PUNCT
ejpam-5087	118	19	block	block	NOUN
ejpam-5087	118	20	-	-	PUNCT
ejpam-5087	118	21	byblock	byblock	NOUN
ejpam-5087	118	22	method	method	NOUN
ejpam-5087	118	23	adm	adm	PROPN
ejpam-5087	118	24	uexact	uexact	ADJ
ejpam-5087	118	25	y	y	PROPN
ejpam-5087	118	26	x	x	PUNCT
ejpam-5087	118	27	errorbbm	errorbbm	PROPN
ejpam-5087	118	28	ubbm	ubbm	PROPN
ejpam-5087	118	29	erroradm	erroradm	VERB
ejpam-5087	118	30	uadm	uadm	NOUN
ejpam-5087	119	1	0.0000000	0.0000000	NUM
ejpam-5087	119	2	0.0000000	0.0000000	NUM
ejpam-5087	119	3	0.0000000	0.0000000	NUM
ejpam-5087	119	4	0.0000000	0.0000000	NUM
ejpam-5087	119	5	0.00000000	0.00000000	NUM
ejpam-5087	119	6	0.0	0.0	NUM
ejpam-5087	119	7	0.0	0.0	NUM
ejpam-5087	119	8	0.9793×10−8	0.9793×10−8	NUM
ejpam-5087	119	9	0.00500000	0.00500000	NUM
ejpam-5087	119	10	0.625003×10−7	0.625003×10−7	NOUN
ejpam-5087	119	11	0.0050000	0.0050000	NUM
ejpam-5087	119	12	0.00500000	0.00500000	NUM
ejpam-5087	119	13	0.1	0.1	NUM
ejpam-5087	119	14	0.1	0.1	NUM
ejpam-5087	119	15	0.224024×10−50.02000224	0.224024×10−50.02000224	NOUN
ejpam-5087	120	1	0.400040×10−5	0.400040×10−5	NUM
ejpam-5087	120	2	0.0200040	0.0200040	NUM
ejpam-5087	120	3	0.02000000	0.02000000	NUM
ejpam-5087	120	4	0.2	0.2	NUM
ejpam-5087	120	5	0.2	0.2	NUM
ejpam-5087	120	6	0.000020296	0.000020296	NUM
ejpam-5087	120	7	0.04502029	0.04502029	NUM
ejpam-5087	120	8	0.000045585	0.000045585	NUM
ejpam-5087	120	9	0.0450455	0.0450455	NUM
ejpam-5087	120	10	0.04500000	0.04500000	NUM
ejpam-5087	120	11	0.3	0.3	NUM
ejpam-5087	120	12	0.3	0.3	NUM
ejpam-5087	120	13	0.000123451	0.000123451	NUM
ejpam-5087	120	14	0.08012345	0.08012345	NUM
ejpam-5087	120	15	0.000256410	0.000256410	NUM
ejpam-5087	120	16	0.0802564	0.0802564	NUM
ejpam-5087	120	17	0.08000000	0.08000000	NUM
ejpam-5087	120	18	0.4	0.4	NUM
ejpam-5087	120	19	0.4	0.4	NUM
ejpam-5087	120	20	0.000896057	0.000896057	NUM
ejpam-5087	120	21	0.12589605	0.12589605	NUM
ejpam-5087	120	22	0.000980387	0.000980387	NUM
ejpam-5087	120	23	0.1259803	0.1259803	NUM
ejpam-5087	120	24	0.12500000	0.12500000	NUM
ejpam-5087	120	25	0.5	0.5	NUM
ejpam-5087	120	26	0.5	0.5	NUM
ejpam-5087	120	27	0.0052974915	0.0052974915	NUM
ejpam-5087	120	28	0.17470250	0.17470250	NUM
ejpam-5087	120	29	0.002939725	0.002939725	NUM
ejpam-5087	120	30	0.1829397	0.1829397	NUM
ejpam-5087	121	1	0.18000000	0.18000000	NUM
ejpam-5087	121	2	0.6	0.6	NUM
ejpam-5087	121	3	0.6	0.6	NUM
ejpam-5087	121	4	0.006830862	0.006830862	NUM
ejpam-5087	121	5	0.25183082	0.25183082	NUM
ejpam-5087	121	6	0.00746423	0.00746423	NUM
ejpam-5087	121	7	0.2524642	0.2524642	NUM
ejpam-5087	121	8	0.24500000	0.24500000	NUM
ejpam-5087	121	9	0.7	0.7	NUM
ejpam-5087	121	10	0.7	0.7	NUM
ejpam-5087	121	11	0.016426217	0.016426217	NUM
ejpam-5087	121	12	0.33642621	0.33642621	NUM
ejpam-5087	121	13	0.01680854	0.01680854	NUM
ejpam-5087	121	14	0.3368085	0.3368085	NUM
ejpam-5087	121	15	0.32000000	0.32000000	NUM
ejpam-5087	121	16	0.8	0.8	NUM
ejpam-5087	121	17	0.8	0.8	NUM
ejpam-5087	121	18	0.023752974	0.023752974	NUM
ejpam-5087	121	19	0.42875297	0.42875297	NUM
ejpam-5087	121	20	0.03460287	0.03460287	NUM
ejpam-5087	121	21	0.4396028	0.4396028	NUM
ejpam-5087	121	22	0.40500000	0.40500000	NUM
ejpam-5087	121	23	0.9	0.9	NUM
ejpam-5087	121	24	0.9	0.9	NUM
ejpam-5087	121	25	0.043988227	0.043988227	NUM
ejpam-5087	121	26	0.54398822	0.54398822	NUM
ejpam-5087	121	27	0.06651660	0.06651660	NUM
ejpam-5087	121	28	0.5665166	0.5665166	NUM
ejpam-5087	121	29	0.50000000	0.50000000	NUM
ejpam-5087	121	30	1.0	1.0	NUM
ejpam-5087	121	31	1.0	1.0	NUM
ejpam-5087	121	32	table	table	NOUN
ejpam-5087	121	33	(	(	PUNCT
ejpam-5087	121	34	3	3	X
ejpam-5087	121	35	)	)	PUNCT
ejpam-5087	121	36	numerical	numerical	ADJ
ejpam-5087	121	37	results	result	NOUN
ejpam-5087	121	38	by	by	ADP
ejpam-5087	121	39	using	use	VERB
ejpam-5087	121	40	bbm	bbm	PROPN
ejpam-5087	121	41	and	and	CCONJ
ejpam-5087	121	42	adm	adm	PROPN
ejpam-5087	121	43	,	,	PUNCT
ejpam-5087	121	44	n=10,k=1	n=10,k=1	PROPN
ejpam-5087	121	45	.	.	PUNCT
ejpam-5087	122	1	a.	a.	PROPN
ejpam-5087	122	2	m.	m.	PROPN
ejpam-5087	122	3	al	al	PROPN
ejpam-5087	122	4	-	-	PROPN
ejpam-5087	122	5	bugami	bugami	PROPN
ejpam-5087	122	6	/	/	SYM
ejpam-5087	122	7	eur	eur	PROPN
ejpam-5087	122	8	.	.	PUNCT
ejpam-5087	123	1	j.	j.	PROPN
ejpam-5087	123	2	pure	pure	PROPN
ejpam-5087	123	3	appl	appl	PROPN
ejpam-5087	123	4	.	.	PROPN
ejpam-5087	123	5	math	math	PROPN
ejpam-5087	123	6	,	,	PUNCT
ejpam-5087	123	7	17	17	NUM
ejpam-5087	123	8	(	(	PUNCT
ejpam-5087	123	9	2	2	NUM
ejpam-5087	123	10	)	)	PUNCT
ejpam-5087	123	11	(	(	PUNCT
ejpam-5087	123	12	2024	2024	NUM
ejpam-5087	123	13	)	)	PUNCT
ejpam-5087	123	14	,	,	PUNCT
ejpam-5087	123	15	1070	1070	NUM
ejpam-5087	123	16	-	-	SYM
ejpam-5087	123	17	1081	1081	NUM
ejpam-5087	123	18	1078	1078	NUM
ejpam-5087	123	19	fig	fig	NOUN
ejpam-5087	123	20	.	.	PUNCT
ejpam-5087	124	1	3	3	NUM
ejpam-5087	124	2	,	,	PUNCT
ejpam-5087	124	3	the	the	DET
ejpam-5087	124	4	plot	plot	NOUN
ejpam-5087	124	5	3d	3d	NUM
ejpam-5087	124	6	errors	error	NOUN
ejpam-5087	124	7	for	for	ADP
ejpam-5087	124	8	the	the	DET
ejpam-5087	124	9	value	value	NOUN
ejpam-5087	124	10	of	of	ADP
ejpam-5087	124	11	errors	error	NOUN
ejpam-5087	124	12	by	by	ADP
ejpam-5087	124	13	using	use	VERB
ejpam-5087	124	14	bbm	bbm	PROPN
ejpam-5087	124	15	and	and	CCONJ
ejpam-5087	124	16	adm	adm	PROPN
ejpam-5087	124	17	,	,	PUNCT
ejpam-5087	124	18	n=10	n=10	PRON
ejpam-5087	124	19	,	,	PUNCT
ejpam-5087	124	20	k=1	k=1	NOUN
ejpam-5087	124	21	.	.	PUNCT
ejpam-5087	124	22	block	block	NOUN
ejpam-5087	124	23	-	-	PUNCT
ejpam-5087	124	24	byblock	byblock	NOUN
ejpam-5087	124	25	method	method	NOUN
ejpam-5087	124	26	adm	adm	PROPN
ejpam-5087	124	27	uexact	uexact	ADJ
ejpam-5087	124	28	y	y	PROPN
ejpam-5087	124	29	x	x	PUNCT
ejpam-5087	124	30	errorbbm	errorbbm	PROPN
ejpam-5087	124	31	ubmm	ubmm	VERB
ejpam-5087	124	32	erroradm	erroradm	PROPN
ejpam-5087	124	33	uadm	uadm	NOUN
ejpam-5087	124	34	0.00000000	0.00000000	NUM
ejpam-5087	124	35	0.00000000	0.00000000	NUM
ejpam-5087	124	36	0.0000000	0.0000000	NUM
ejpam-5087	124	37	0.0000000	0.0000000	NUM
ejpam-5087	124	38	0.00000000	0.00000000	NUM
ejpam-5087	124	39	0.0	0.0	NUM
ejpam-5087	124	40	0.0	0.0	NUM
ejpam-5087	124	41	0.9793×10−7	0.9793×10−7	NOUN
ejpam-5087	124	42	0.004999902	0.004999902	NUM
ejpam-5087	124	43	0.12456×10−6	0.12456×10−6	NOUN
ejpam-5087	124	44	0.00500012	0.00500012	NUM
ejpam-5087	124	45	0.00500000	0.00500000	NUM
ejpam-5087	124	46	0.1	0.1	NUM
ejpam-5087	124	47	0.1	0.1	NUM
ejpam-5087	124	48	0.747110×10−5	0.747110×10−5	NOUN
ejpam-5087	124	49	0.020007471	0.020007471	NUM
ejpam-5087	124	50	0.789017×10−5	0.789017×10−5	NOUN
ejpam-5087	124	51	0.02000789	0.02000789	NUM
ejpam-5087	124	52	0.02000000	0.02000000	NUM
ejpam-5087	124	53	0.2	0.2	NUM
ejpam-5087	124	54	0.2	0.2	NUM
ejpam-5087	124	55	0.0000357169	0.0000357169	NUM
ejpam-5087	124	56	0.045035716	0.045035716	NUM
ejpam-5087	124	57	0.000088335	0.000088335	NUM
ejpam-5087	125	1	0.04508833	0.04508833	NUM
ejpam-5087	125	2	0.04500000	0.04500000	NUM
ejpam-5087	125	3	0.3	0.3	NUM
ejpam-5087	125	4	0.3	0.3	NUM
ejpam-5087	125	5	0.0001830350	0.0001830350	NUM
ejpam-5087	125	6	0.080183035	0.080183035	NUM
ejpam-5087	125	7	0.000484473	0.000484473	NUM
ejpam-5087	125	8	0.08048447	0.08048447	NUM
ejpam-5087	125	9	0.08000000	0.08000000	NUM
ejpam-5087	125	10	0.4	0.4	NUM
ejpam-5087	125	11	0.4	0.4	NUM
ejpam-5087	125	12	0.0011159424	0.0011159424	NUM
ejpam-5087	125	13	0.126115942	0.126115942	NUM
ejpam-5087	125	14	0.001791559	0.001791559	NUM
ejpam-5087	125	15	0.12679155	0.12679155	NUM
ejpam-5087	125	16	0.12500000	0.12500000	NUM
ejpam-5087	125	17	0.5	0.5	NUM
ejpam-5087	125	18	0.5	0.5	NUM
ejpam-5087	125	19	0.0149879842	0.0149879842	NUM
ejpam-5087	125	20	0.165012015	0.165012015	NUM
ejpam-5087	125	21	0.005149897	0.005149897	NUM
ejpam-5087	125	22	0.18514989	0.18514989	NUM
ejpam-5087	125	23	0.18000000	0.18000000	NUM
ejpam-5087	126	1	0.6	0.6	NUM
ejpam-5087	126	2	0.6	0.6	NUM
ejpam-5087	126	3	0.012010961	0.012010961	NUM
ejpam-5087	126	4	0.257010961	0.257010961	NUM
ejpam-5087	126	5	0.012413373	0.012413373	NUM
ejpam-5087	126	6	0.25741337	0.25741337	NUM
ejpam-5087	126	7	0.24500000	0.24500000	NUM
ejpam-5087	126	8	0.7	0.7	NUM
ejpam-5087	126	9	0.7	0.7	NUM
ejpam-5087	126	10	0.027208265	0.027208265	NUM
ejpam-5087	126	11	0.347208265	0.347208265	NUM
ejpam-5087	126	12	0.026247589	0.026247589	NUM
ejpam-5087	126	13	0.34624759	0.34624759	NUM
ejpam-5087	126	14	0.32000000	0.32000000	NUM
ejpam-5087	126	15	0.8	0.8	NUM
ejpam-5087	126	16	0.8	0.8	NUM
ejpam-5087	126	17	0.048275031	0.048275031	NUM
ejpam-5087	127	1	0.453275031	0.453275031	NUM
ejpam-5087	127	2	0.050109867	0.050109867	NUM
ejpam-5087	127	3	0.45510986	0.45510986	NUM
ejpam-5087	127	4	0.40500000	0.40500000	NUM
ejpam-5087	127	5	0.9	0.9	NUM
ejpam-5087	127	6	0.9	0.9	NUM
ejpam-5087	127	7	0.097513263	0.097513263	NUM
ejpam-5087	127	8	0.597513263	0.597513263	NUM
ejpam-5087	127	9	0.088059093	0.088059093	NUM
ejpam-5087	127	10	0.58805909	0.58805909	NUM
ejpam-5087	127	11	0.50000000	0.50000000	NUM
ejpam-5087	127	12	1.0	1.0	NUM
ejpam-5087	127	13	1.0	1.0	NUM
ejpam-5087	127	14	table	table	NOUN
ejpam-5087	127	15	(	(	PUNCT
ejpam-5087	127	16	4	4	NUM
ejpam-5087	127	17	)	)	PUNCT
ejpam-5087	127	18	numerical	numerical	ADJ
ejpam-5087	127	19	results	result	NOUN
ejpam-5087	127	20	by	by	ADP
ejpam-5087	127	21	using	use	VERB
ejpam-5087	127	22	bbm	bbm	PROPN
ejpam-5087	127	23	and	and	CCONJ
ejpam-5087	127	24	adm	adm	PROPN
ejpam-5087	127	25	,	,	PUNCT
ejpam-5087	127	26	n=10,k=2	n=10,k=2	X
ejpam-5087	127	27	.	.	PUNCT
ejpam-5087	128	1	a.	a.	PROPN
ejpam-5087	128	2	m.	m.	PROPN
ejpam-5087	128	3	al	al	PROPN
ejpam-5087	128	4	-	-	PROPN
ejpam-5087	128	5	bugami	bugami	PROPN
ejpam-5087	128	6	/	/	SYM
ejpam-5087	128	7	eur	eur	PROPN
ejpam-5087	128	8	.	.	PUNCT
ejpam-5087	129	1	j.	j.	PROPN
ejpam-5087	129	2	pure	pure	PROPN
ejpam-5087	129	3	appl	appl	PROPN
ejpam-5087	129	4	.	.	PROPN
ejpam-5087	129	5	math	math	PROPN
ejpam-5087	129	6	,	,	PUNCT
ejpam-5087	129	7	17	17	NUM
ejpam-5087	129	8	(	(	PUNCT
ejpam-5087	129	9	2	2	NUM
ejpam-5087	129	10	)	)	PUNCT
ejpam-5087	129	11	(	(	PUNCT
ejpam-5087	129	12	2024	2024	NUM
ejpam-5087	129	13	)	)	PUNCT
ejpam-5087	129	14	,	,	PUNCT
ejpam-5087	129	15	1070	1070	NUM
ejpam-5087	129	16	-	-	SYM
ejpam-5087	129	17	1081	1081	NUM
ejpam-5087	129	18	1079	1079	NUM
ejpam-5087	129	19	fig	fig	NOUN
ejpam-5087	129	20	.	.	PUNCT
ejpam-5087	130	1	4	4	NUM
ejpam-5087	130	2	,	,	PUNCT
ejpam-5087	130	3	the	the	DET
ejpam-5087	130	4	plot	plot	NOUN
ejpam-5087	130	5	3d	3d	NUM
ejpam-5087	130	6	errors	error	NOUN
ejpam-5087	130	7	for	for	ADP
ejpam-5087	130	8	the	the	DET
ejpam-5087	130	9	value	value	NOUN
ejpam-5087	130	10	of	of	ADP
ejpam-5087	130	11	errors	error	NOUN
ejpam-5087	130	12	by	by	ADP
ejpam-5087	130	13	using	use	VERB
ejpam-5087	130	14	bbm	bbm	PROPN
ejpam-5087	130	15	and	and	CCONJ
ejpam-5087	130	16	adm	adm	PROPN
ejpam-5087	130	17	,	,	PUNCT
ejpam-5087	130	18	n=10	n=10	PRON
ejpam-5087	130	19	,	,	PUNCT
ejpam-5087	130	20	k=2	k=2	PROPN
ejpam-5087	130	21	.	.	PROPN
ejpam-5087	130	22	5	5	NUM
ejpam-5087	130	23	.	.	PUNCT
ejpam-5087	131	1	the	the	DET
ejpam-5087	131	2	conclusion	conclusion	NOUN
ejpam-5087	131	3	he	he	PRON
ejpam-5087	131	4	new	new	ADJ
ejpam-5087	131	5	definition	definition	NOUN
ejpam-5087	131	6	of	of	ADP
ejpam-5087	131	7	the	the	DET
ejpam-5087	131	8	functional	functional	ADJ
ejpam-5087	131	9	volterra	volterra	NOUN
ejpam-5087	131	10	integral	integral	ADJ
ejpam-5087	131	11	equation	equation	NOUN
ejpam-5087	131	12	in	in	ADP
ejpam-5087	131	13	two	two	NUM
ejpam-5087	131	14	-	-	PUNCT
ejpam-5087	131	15	dimensional	dimensional	ADJ
ejpam-5087	131	16	(	(	PUNCT
ejpam-5087	131	17	nt	not	PART
ejpam-5087	131	18	-	-	PUNCT
ejpam-5087	131	19	dfvie	dfvie	NOUN
ejpam-5087	131	20	)	)	PUNCT
ejpam-5087	131	21	was	be	AUX
ejpam-5087	131	22	presented	present	VERB
ejpam-5087	131	23	in	in	ADP
ejpam-5087	131	24	this	this	DET
ejpam-5087	131	25	study	study	NOUN
ejpam-5087	131	26	.	.	PUNCT
ejpam-5087	132	1	effective	effective	ADJ
ejpam-5087	132	2	numerical	numerical	ADJ
ejpam-5087	132	3	techniques	technique	NOUN
ejpam-5087	132	4	are	be	AUX
ejpam-5087	132	5	also	also	ADV
ejpam-5087	132	6	suggested	suggest	VERB
ejpam-5087	132	7	in	in	ADP
ejpam-5087	132	8	order	order	NOUN
ejpam-5087	132	9	to	to	PART
ejpam-5087	132	10	solve	solve	VERB
ejpam-5087	132	11	this	this	DET
ejpam-5087	132	12	equation	equation	NOUN
ejpam-5087	132	13	.	.	PUNCT
ejpam-5087	133	1	error	error	NOUN
ejpam-5087	133	2	analysis	analysis	NOUN
ejpam-5087	133	3	and	and	CCONJ
ejpam-5087	133	4	some	some	DET
ejpam-5087	133	5	numerical	numerical	ADJ
ejpam-5087	133	6	examples	example	NOUN
ejpam-5087	133	7	show	show	VERB
ejpam-5087	133	8	the	the	DET
ejpam-5087	133	9	accuracy	accuracy	NOUN
ejpam-5087	133	10	and	and	CCONJ
ejpam-5087	133	11	performance	performance	NOUN
ejpam-5087	133	12	of	of	ADP
ejpam-5087	133	13	the	the	DET
ejpam-5087	133	14	methods	method	NOUN
ejpam-5087	133	15	.	.	PUNCT
ejpam-5087	134	1	based	base	VERB
ejpam-5087	134	2	on	on	ADP
ejpam-5087	134	3	the	the	DET
ejpam-5087	134	4	preceding	precede	VERB
ejpam-5087	134	5	examples	example	NOUN
ejpam-5087	134	6	and	and	CCONJ
ejpam-5087	134	7	tables	table	NOUN
ejpam-5087	134	8	(	(	PUNCT
ejpam-5087	134	9	1)-(4	1)-(4	NUM
ejpam-5087	134	10	)	)	PUNCT
ejpam-5087	134	11	,	,	PUNCT
ejpam-5087	134	12	we	we	PRON
ejpam-5087	134	13	observe	observe	VERB
ejpam-5087	134	14	that	that	SCONJ
ejpam-5087	134	15	:	:	PUNCT
ejpam-5087	135	1	1as	1as	NUM
ejpam-5087	135	2	x	x	PUNCT
ejpam-5087	135	3	andy	andy	PROPN
ejpam-5087	135	4	are	be	AUX
ejpam-5087	135	5	increasing	increase	VERB
ejpam-5087	135	6	in	in	ADP
ejpam-5087	135	7	each	each	DET
ejpam-5087	135	8	interval	interval	NOUN
ejpam-5087	135	9	[	[	X
ejpam-5087	135	10	0	0	NUM
ejpam-5087	135	11	,	,	PUNCT
ejpam-5087	135	12	1	1	NUM
ejpam-5087	135	13	]	]	PUNCT
ejpam-5087	135	14	,	,	PUNCT
ejpam-5087	135	15	the	the	DET
ejpam-5087	135	16	errors	error	NOUN
ejpam-5087	135	17	values	value	VERB
ejpam-5087	135	18	for	for	ADP
ejpam-5087	135	19	bbm	bbm	PROPN
ejpam-5087	135	20	,	,	PUNCT
ejpam-5087	135	21	and	and	CCONJ
ejpam-5087	135	22	adm	adm	PROPN
ejpam-5087	135	23	are	be	AUX
ejpam-5087	135	24	also	also	ADV
ejpam-5087	135	25	increasing	increase	VERB
ejpam-5087	135	26	.	.	PUNCT
ejpam-5087	136	1	2the	2the	PRON
ejpam-5087	136	2	error	error	NOUN
ejpam-5087	136	3	results	result	NOUN
ejpam-5087	136	4	by	by	ADP
ejpam-5087	136	5	using	use	VERB
ejpam-5087	136	6	adm	adm	PROPN
ejpam-5087	136	7	is	be	AUX
ejpam-5087	136	8	smaller	small	ADJ
ejpam-5087	136	9	than	than	ADP
ejpam-5087	136	10	the	the	DET
ejpam-5087	136	11	error	error	NOUN
ejpam-5087	136	12	results	result	NOUN
ejpam-5087	136	13	by	by	ADP
ejpam-5087	136	14	using	use	VERB
ejpam-5087	136	15	bbm	bbm	PROPN
ejpam-5087	136	16	.	.	PUNCT
ejpam-5087	137	1	so	so	ADV
ejpam-5087	137	2	,	,	PUNCT
ejpam-5087	137	3	the	the	DET
ejpam-5087	137	4	adm	adm	NOUN
ejpam-5087	137	5	is	be	AUX
ejpam-5087	137	6	better	well	ADJ
ejpam-5087	137	7	than	than	ADP
ejpam-5087	137	8	thebbm	thebbm	ADJ
ejpam-5087	137	9	for	for	ADP
ejpam-5087	137	10	solving	solve	VERB
ejpam-5087	137	11	nonlinear	nonlinear	ADJ
ejpam-5087	137	12	nt	not	PART
ejpam-5087	137	13	-	-	PUNCT
ejpam-5087	137	14	dfvie	dfvie	NOUN
ejpam-5087	137	15	.	.	PUNCT
ejpam-5087	138	1	3the	3the	PRON
ejpam-5087	138	2	error	error	NOUN
ejpam-5087	138	3	result	result	NOUN
ejpam-5087	138	4	by	by	ADP
ejpam-5087	138	5	using	use	VERB
ejpam-5087	138	6	adm	adm	PROPN
ejpam-5087	138	7	for	for	ADP
ejpam-5087	138	8	linear	linear	NOUN
ejpam-5087	138	9	case	case	NOUN
ejpam-5087	138	10	is	be	AUX
ejpam-5087	138	11	larger	large	ADJ
ejpam-5087	138	12	than	than	ADP
ejpam-5087	138	13	the	the	DET
ejpam-5087	138	14	nonlinear	nonlinear	ADJ
ejpam-5087	138	15	case	case	NOUN
ejpam-5087	138	16	,	,	PUNCT
ejpam-5087	138	17	and	and	CCONJ
ejpam-5087	138	18	by	by	ADP
ejpam-5087	138	19	using	use	VERB
ejpam-5087	138	20	bbm	bbm	PRON
ejpam-5087	138	21	the	the	DET
ejpam-5087	138	22	error	error	NOUN
ejpam-5087	138	23	results	result	NOUN
ejpam-5087	138	24	for	for	ADP
ejpam-5087	138	25	nonlinear	nonlinear	ADJ
ejpam-5087	138	26	case	case	NOUN
ejpam-5087	138	27	is	be	AUX
ejpam-5087	138	28	larger	large	ADJ
ejpam-5087	138	29	than	than	ADP
ejpam-5087	138	30	the	the	DET
ejpam-5087	138	31	linear	linear	ADJ
ejpam-5087	138	32	case	case	NOUN
ejpam-5087	138	33	.	.	PUNCT
ejpam-5087	139	1	additional	additional	ADJ
ejpam-5087	139	2	points	point	NOUN
ejpam-5087	139	3	future	future	ADJ
ejpam-5087	139	4	work	work	NOUN
ejpam-5087	139	5	.	.	PUNCT
ejpam-5087	140	1	other	other	ADJ
ejpam-5087	140	2	methods	method	NOUN
ejpam-5087	140	3	,	,	PUNCT
ejpam-5087	140	4	such	such	ADJ
ejpam-5087	140	5	as	as	ADP
ejpam-5087	140	6	the	the	DET
ejpam-5087	140	7	homotopyperturbation	homotopyperturbation	NOUN
ejpam-5087	140	8	approach	approach	NOUN
ejpam-5087	140	9	,	,	PUNCT
ejpam-5087	140	10	homotopy	homotopy	VERB
ejpam-5087	140	11	analysis	analysis	NOUN
ejpam-5087	140	12	method	method	NOUN
ejpam-5087	140	13	,	,	PUNCT
ejpam-5087	140	14	runge	runge	NOUN
ejpam-5087	140	15	-	-	PUNCT
ejpam-5087	140	16	kutta	kutta	NOUN
ejpam-5087	140	17	method	method	NOUN
ejpam-5087	140	18	and	and	CCONJ
ejpam-5087	140	19	the	the	DET
ejpam-5087	140	20	variational	variational	ADJ
ejpam-5087	140	21	iterationapproach	iterationapproach	NOUN
ejpam-5087	140	22	,	,	PUNCT
ejpam-5087	140	23	will	will	AUX
ejpam-5087	140	24	be	be	AUX
ejpam-5087	140	25	used	use	VERB
ejpam-5087	140	26	to	to	PART
ejpam-5087	140	27	solve	solve	VERB
ejpam-5087	140	28	the	the	DET
ejpam-5087	140	29	the	the	DET
ejpam-5087	140	30	nonlinear	nonlinear	ADJ
ejpam-5087	140	31	functional	functional	PROPN
ejpam-5087	140	32	volterra	volterra	PROPN
ejpam-5087	140	33	integral	integral	ADJ
ejpam-5087	140	34	equation	equation	NOUN
ejpam-5087	140	35	in	in	ADP
ejpam-5087	140	36	two	two	NUM
ejpam-5087	140	37	-	-	PUNCT
ejpam-5087	140	38	dimension	dimension	NOUN
ejpam-5087	140	39	.	.	PUNCT
ejpam-5087	141	1	data	datum	NOUN
ejpam-5087	141	2	availability	availability	NOUN
ejpam-5087	141	3	all	all	DET
ejpam-5087	141	4	the	the	DET
ejpam-5087	141	5	data	datum	NOUN
ejpam-5087	141	6	are	be	AUX
ejpam-5087	141	7	available	available	ADJ
ejpam-5087	141	8	within	within	ADP
ejpam-5087	141	9	the	the	DET
ejpam-5087	141	10	article	article	NOUN
ejpam-5087	141	11	and	and	CCONJ
ejpam-5087	141	12	as	as	ADP
ejpam-5087	141	13	the	the	DET
ejpam-5087	141	14	references	reference	NOUN
ejpam-5087	141	15	that	that	PRON
ejpam-5087	141	16	were	be	AUX
ejpam-5087	141	17	cited	cite	VERB
ejpam-5087	141	18	.	.	PUNCT
ejpam-5087	142	1	references	reference	NOUN
ejpam-5087	142	2	1080	1080	NUM
ejpam-5087	142	3	conflicts	conflict	NOUN
ejpam-5087	142	4	of	of	ADP
ejpam-5087	142	5	interest	interest	NOUN
ejpam-5087	142	6	the	the	DET
ejpam-5087	142	7	author	author	NOUN
ejpam-5087	142	8	declares	declare	VERB
ejpam-5087	142	9	that	that	SCONJ
ejpam-5087	142	10	there	there	PRON
ejpam-5087	142	11	are	be	VERB
ejpam-5087	142	12	no	no	DET
ejpam-5087	142	13	conflicts	conflict	NOUN
ejpam-5087	142	14	of	of	ADP
ejpam-5087	142	15	interest	interest	NOUN
ejpam-5087	142	16	.	.	PUNCT
ejpam-5087	143	1	acknowledgements	acknowledgement	NOUN
ejpam-5087	143	2	the	the	DET
ejpam-5087	143	3	work	work	NOUN
ejpam-5087	143	4	was	be	AUX
ejpam-5087	143	5	funded	fund	VERB
ejpam-5087	143	6	by	by	ADP
ejpam-5087	143	7	the	the	DET
ejpam-5087	143	8	deanship	deanship	NOUN
ejpam-5087	143	9	of	of	ADP
ejpam-5087	143	10	scientific	scientific	ADJ
ejpam-5087	143	11	research	research	NOUN
ejpam-5087	143	12	at	at	ADP
ejpam-5087	143	13	taif	taif	PROPN
ejpam-5087	143	14	university	university	PROPN
ejpam-5087	143	15	,	,	PUNCT
ejpam-5087	143	16	which	which	PRON
ejpam-5087	143	17	the	the	DET
ejpam-5087	143	18	researcher	researcher	NOUN
ejpam-5087	143	19	would	would	AUX
ejpam-5087	143	20	like	like	VERB
ejpam-5087	143	21	to	to	PART
ejpam-5087	143	22	appreciate	appreciate	VERB
ejpam-5087	143	23	.	.	PUNCT
ejpam-5087	144	1	references	reference	NOUN
ejpam-5087	144	2	[	[	X
ejpam-5087	144	3	1	1	X
ejpam-5087	144	4	]	]	X
ejpam-5087	144	5	ma	ma	PROPN
ejpam-5087	144	6	abdou	abdou	PROPN
ejpam-5087	144	7	and	and	CCONJ
ejpam-5087	144	8	am	be	AUX
ejpam-5087	144	9	al	al	PROPN
ejpam-5087	144	10	-	-	PUNCT
ejpam-5087	144	11	bugami	bugami	NOUN
ejpam-5087	144	12	.	.	PUNCT
ejpam-5087	145	1	nonlinear	nonlinear	ADJ
ejpam-5087	145	2	fredholm	fredholm	PROPN
ejpam-5087	145	3	-	-	PUNCT
ejpam-5087	145	4	volterra	volterra	NOUN
ejpam-5087	145	5	integral	integral	ADJ
ejpam-5087	145	6	equation	equation	NOUN
ejpam-5087	145	7	and	and	CCONJ
ejpam-5087	145	8	its	its	PRON
ejpam-5087	145	9	numerical	numerical	ADJ
ejpam-5087	145	10	solutions	solution	NOUN
ejpam-5087	145	11	with	with	ADP
ejpam-5087	145	12	quadrature	quadrature	NOUN
ejpam-5087	145	13	methods	method	NOUN
ejpam-5087	145	14	.	.	PUNCT
ejpam-5087	146	1	journal	journal	NOUN
ejpam-5087	146	2	:	:	PUNCT
ejpam-5087	146	3	journal	journal	NOUN
ejpam-5087	146	4	of	of	ADP
ejpam-5087	146	5	advances	advance	NOUN
ejpam-5087	146	6	in	in	ADP
ejpam-5087	146	7	mathematics	mathematic	NOUN
ejpam-5087	146	8	,	,	PUNCT
ejpam-5087	146	9	4(2	4(2	NUM
ejpam-5087	146	10	)	)	PUNCT
ejpam-5087	146	11	,	,	PUNCT
ejpam-5087	146	12	2013	2013	NUM
ejpam-5087	146	13	.	.	PUNCT
ejpam-5087	147	1	[	[	X
ejpam-5087	147	2	2	2	X
ejpam-5087	147	3	]	]	X
ejpam-5087	147	4	abeer	abeer	PROPN
ejpam-5087	147	5	majed	majed	PROPN
ejpam-5087	147	6	al	al	PROPN
ejpam-5087	147	7	-	-	PUNCT
ejpam-5087	147	8	bugami	bugami	NOUN
ejpam-5087	147	9	.	.	PUNCT
ejpam-5087	148	1	two	two	NUM
ejpam-5087	148	2	dimensional	dimensional	ADJ
ejpam-5087	148	3	fredholm	fredholm	NOUN
ejpam-5087	148	4	integral	integral	ADJ
ejpam-5087	148	5	equation	equation	NOUN
ejpam-5087	148	6	with	with	ADP
ejpam-5087	148	7	time	time	NOUN
ejpam-5087	148	8	.	.	PUNCT
ejpam-5087	149	1	journal	journal	NOUN
ejpam-5087	149	2	of	of	ADP
ejpam-5087	149	3	modern	modern	ADJ
ejpam-5087	149	4	methods	method	NOUN
ejpam-5087	149	5	in	in	ADP
ejpam-5087	149	6	numerical	numerical	ADJ
ejpam-5087	149	7	mathematics	mathematic	NOUN
ejpam-5087	149	8	,	,	PUNCT
ejpam-5087	149	9	3(2	3(2	NUM
ejpam-5087	149	10	)	)	PUNCT
ejpam-5087	149	11	,	,	PUNCT
ejpam-5087	149	12	2012	2012	NUM
ejpam-5087	149	13	.	.	PUNCT
ejpam-5087	150	1	[	[	X
ejpam-5087	150	2	3	3	NUM
ejpam-5087	150	3	]	]	PUNCT
ejpam-5087	150	4	am	be	AUX
ejpam-5087	150	5	al	al	PROPN
ejpam-5087	150	6	-	-	PUNCT
ejpam-5087	150	7	bugami	bugami	NOUN
ejpam-5087	150	8	.	.	PUNCT
ejpam-5087	151	1	efficient	efficient	ADJ
ejpam-5087	151	2	numerical	numerical	ADJ
ejpam-5087	151	3	algorithm	algorithm	NOUN
ejpam-5087	151	4	for	for	ADP
ejpam-5087	151	5	the	the	DET
ejpam-5087	151	6	solution	solution	NOUN
ejpam-5087	151	7	of	of	ADP
ejpam-5087	151	8	nonlinear	nonlinear	ADJ
ejpam-5087	151	9	twodimensional	twodimensional	PROPN
ejpam-5087	151	10	volterra	volterra	PROPN
ejpam-5087	151	11	integral	integral	ADJ
ejpam-5087	151	12	equation	equation	NOUN
ejpam-5087	151	13	arising	arise	VERB
ejpam-5087	151	14	from	from	ADP
ejpam-5087	151	15	torsion	torsion	NOUN
ejpam-5087	151	16	problem	problem	NOUN
ejpam-5087	151	17	.	.	PUNCT
ejpam-5087	152	1	advances	advance	NOUN
ejpam-5087	152	2	in	in	ADP
ejpam-5087	152	3	mathematical	mathematical	ADJ
ejpam-5087	152	4	physics	physics	NOUN
ejpam-5087	152	5	,	,	PUNCT
ejpam-5087	152	6	2021:1–16	2021:1–16	NOUN
ejpam-5087	152	7	,	,	PUNCT
ejpam-5087	152	8	2021	2021	NUM
ejpam-5087	152	9	.	.	PUNCT
ejpam-5087	153	1	[	[	X
ejpam-5087	153	2	4	4	NUM
ejpam-5087	153	3	]	]	PUNCT
ejpam-5087	153	4	am	be	AUX
ejpam-5087	153	5	al	al	PROPN
ejpam-5087	153	6	-	-	PUNCT
ejpam-5087	153	7	bugami	bugami	NOUN
ejpam-5087	153	8	.	.	PUNCT
ejpam-5087	154	1	singular	singular	PROPN
ejpam-5087	154	2	hammerstein	hammerstein	PROPN
ejpam-5087	154	3	-	-	PUNCT
ejpam-5087	154	4	volterra	volterra	PROPN
ejpam-5087	154	5	integral	integral	ADJ
ejpam-5087	154	6	equation	equation	NOUN
ejpam-5087	154	7	and	and	CCONJ
ejpam-5087	154	8	its	its	PRON
ejpam-5087	154	9	numerical	numerical	ADJ
ejpam-5087	154	10	processing	processing	NOUN
ejpam-5087	154	11	.	.	PUNCT
ejpam-5087	155	1	journal	journal	PROPN
ejpam-5087	155	2	of	of	ADP
ejpam-5087	155	3	applied	apply	VERB
ejpam-5087	155	4	mathematics	mathematic	NOUN
ejpam-5087	155	5	and	and	CCONJ
ejpam-5087	155	6	physics	physics	PROPN
ejpam-5087	155	7	,	,	PUNCT
ejpam-5087	155	8	9(2):379–390	9(2):379–390	NOUN
ejpam-5087	155	9	,	,	PUNCT
ejpam-5087	155	10	2021	2021	NUM
ejpam-5087	155	11	.	.	PUNCT
ejpam-5087	156	1	[	[	X
ejpam-5087	156	2	5	5	X
ejpam-5087	156	3	]	]	X
ejpam-5087	156	4	kendall	kendall	PROPN
ejpam-5087	156	5	e	e	PROPN
ejpam-5087	156	6	atkinson	atkinson	PROPN
ejpam-5087	156	7	.	.	PUNCT
ejpam-5087	157	1	a	a	DET
ejpam-5087	157	2	survey	survey	NOUN
ejpam-5087	157	3	of	of	ADP
ejpam-5087	157	4	numerical	numerical	ADJ
ejpam-5087	157	5	methods	method	NOUN
ejpam-5087	157	6	for	for	ADP
ejpam-5087	157	7	the	the	DET
ejpam-5087	157	8	solution	solution	NOUN
ejpam-5087	157	9	of	of	ADP
ejpam-5087	157	10	fredholm	fredholm	ADJ
ejpam-5087	157	11	integral	integral	ADJ
ejpam-5087	157	12	equations	equation	NOUN
ejpam-5087	157	13	of	of	ADP
ejpam-5087	157	14	the	the	DET
ejpam-5087	157	15	second	second	ADJ
ejpam-5087	157	16	kind	kind	NOUN
ejpam-5087	157	17	.	.	PUNCT
ejpam-5087	158	1	siam	siam	PROPN
ejpam-5087	158	2	,	,	PUNCT
ejpam-5087	158	3	philadelphia	philadelphia	PROPN
ejpam-5087	158	4	,	,	PUNCT
ejpam-5087	158	5	,	,	PUNCT
ejpam-5087	158	6	1976	1976	NUM
ejpam-5087	158	7	.	.	PUNCT
ejpam-5087	159	1	[	[	X
ejpam-5087	159	2	6	6	NUM
ejpam-5087	159	3	]	]	X
ejpam-5087	159	4	jafar	jafar	PROPN
ejpam-5087	159	5	biazar	biazar	PROPN
ejpam-5087	159	6	,	,	PUNCT
ejpam-5087	159	7	mehdi	mehdi	PROPN
ejpam-5087	159	8	gholami	gholami	PROPN
ejpam-5087	159	9	porshokouhi	porshokouhi	PROPN
ejpam-5087	159	10	,	,	PUNCT
ejpam-5087	159	11	behzad	behzad	PROPN
ejpam-5087	159	12	ghanbari	ghanbari	PROPN
ejpam-5087	159	13	,	,	PUNCT
ejpam-5087	159	14	and	and	CCONJ
ejpam-5087	159	15	mohammad	mohammad	PROPN
ejpam-5087	159	16	gholami	gholami	PROPN
ejpam-5087	159	17	porshokouhi	porshokouhi	PROPN
ejpam-5087	159	18	.	.	PUNCT
ejpam-5087	160	1	numerical	numerical	ADJ
ejpam-5087	160	2	solution	solution	NOUN
ejpam-5087	160	3	of	of	ADP
ejpam-5087	160	4	functional	functional	ADJ
ejpam-5087	160	5	integral	integral	ADJ
ejpam-5087	160	6	equations	equation	NOUN
ejpam-5087	160	7	by	by	ADP
ejpam-5087	160	8	the	the	DET
ejpam-5087	160	9	variational	variational	ADJ
ejpam-5087	160	10	iteration	iteration	NOUN
ejpam-5087	160	11	method	method	NOUN
ejpam-5087	160	12	.	.	PUNCT
ejpam-5087	161	1	journal	journal	NOUN
ejpam-5087	161	2	of	of	ADP
ejpam-5087	161	3	computational	computational	ADJ
ejpam-5087	161	4	and	and	CCONJ
ejpam-5087	161	5	applied	applied	ADJ
ejpam-5087	161	6	mathematics	mathematic	NOUN
ejpam-5087	161	7	,	,	PUNCT
ejpam-5087	161	8	235(8):2581–2585	235(8):2581–2585	NUM
ejpam-5087	161	9	,	,	PUNCT
ejpam-5087	161	10	2011	2011	NUM
ejpam-5087	161	11	.	.	PUNCT
ejpam-5087	162	1	[	[	X
ejpam-5087	162	2	7	7	X
ejpam-5087	162	3	]	]	X
ejpam-5087	162	4	leonard	leonard	PROPN
ejpam-5087	162	5	michael	michael	PROPN
ejpam-5087	162	6	delves	delve	VERB
ejpam-5087	162	7	and	and	CCONJ
ejpam-5087	162	8	julie	julie	PROPN
ejpam-5087	162	9	l	l	PROPN
ejpam-5087	162	10	mohamed	mohamed	PROPN
ejpam-5087	162	11	.	.	PUNCT
ejpam-5087	163	1	computational	computational	ADJ
ejpam-5087	163	2	methods	method	NOUN
ejpam-5087	163	3	for	for	ADP
ejpam-5087	163	4	integral	integral	ADJ
ejpam-5087	163	5	equations	equation	NOUN
ejpam-5087	163	6	.	.	PUNCT
ejpam-5087	164	1	cup	cup	NOUN
ejpam-5087	164	2	archive	archive	NOUN
ejpam-5087	164	3	,	,	PUNCT
ejpam-5087	164	4	1985	1985	NUM
ejpam-5087	164	5	.	.	PUNCT
ejpam-5087	165	1	[	[	X
ejpam-5087	165	2	8	8	NUM
ejpam-5087	165	3	]	]	X
ejpam-5087	165	4	aldona	aldona	PROPN
ejpam-5087	165	5	dutkiewicz	dutkiewicz	ADJ
ejpam-5087	165	6	.	.	PUNCT
ejpam-5087	166	1	on	on	ADP
ejpam-5087	166	2	the	the	DET
ejpam-5087	166	3	functional	functional	ADJ
ejpam-5087	166	4	-	-	PUNCT
ejpam-5087	166	5	integral	integral	ADJ
ejpam-5087	166	6	equation	equation	NOUN
ejpam-5087	166	7	of	of	ADP
ejpam-5087	166	8	volterra	volterra	NOUN
ejpam-5087	166	9	type	type	NOUN
ejpam-5087	166	10	with	with	ADP
ejpam-5087	166	11	weakly	weakly	ADJ
ejpam-5087	166	12	singular	singular	ADJ
ejpam-5087	166	13	kernel	kernel	NOUN
ejpam-5087	166	14	.	.	PUNCT
ejpam-5087	166	15	publications	publication	NOUN
ejpam-5087	166	16	de	de	X
ejpam-5087	166	17	l’institut	l’institut	PROPN
ejpam-5087	166	18	mathematique	mathematique	NOUN
ejpam-5087	166	19	,	,	PUNCT
ejpam-5087	166	20	83(97):57–63	83(97):57–63	VERB
ejpam-5087	166	21	,	,	PUNCT
ejpam-5087	166	22	2008	2008	NUM
ejpam-5087	166	23	.	.	PUNCT
ejpam-5087	167	1	[	[	X
ejpam-5087	167	2	9	9	NUM
ejpam-5087	167	3	]	]	SYM
ejpam-5087	167	4	f.g.tricomi	f.g.tricomi	ADJ
ejpam-5087	167	5	.	.	PUNCT
ejpam-5087	168	1	integral	integral	ADJ
ejpam-5087	168	2	equations	equation	NOUN
ejpam-5087	168	3	.	.	PUNCT
ejpam-5087	169	1	dover	dover	PROPN
ejpam-5087	169	2	publications	publication	NOUN
ejpam-5087	169	3	,	,	PUNCT
ejpam-5087	169	4	new	new	PROPN
ejpam-5087	169	5	york	york	PROPN
ejpam-5087	169	6	,	,	PUNCT
ejpam-5087	169	7	1985	1985	NUM
ejpam-5087	169	8	.	.	PUNCT
ejpam-5087	170	1	[	[	X
ejpam-5087	170	2	10	10	NUM
ejpam-5087	170	3	]	]	X
ejpam-5087	170	4	cd	cd	PROPN
ejpam-5087	170	5	green	green	NOUN
ejpam-5087	170	6	.	.	PUNCT
ejpam-5087	171	1	integral	integral	ADJ
ejpam-5087	171	2	equation	equation	NOUN
ejpam-5087	171	3	methods	method	NOUN
ejpam-5087	171	4	.	.	PUNCT
ejpam-5087	172	1	1969	1969	NUM
ejpam-5087	172	2	.	.	PUNCT
ejpam-5087	173	1	nelson	nelson	PROPN
ejpam-5087	173	2	,	,	PUNCT
ejpam-5087	173	3	new	new	PROPN
ejpam-5087	173	4	york	york	PROPN
ejpam-5087	173	5	.	.	PUNCT
ejpam-5087	174	1	kanwal	kanwal	PROPN
ejpam-5087	174	2	,	,	PUNCT
ejpam-5087	174	3	rp	rp	NOUN
ejpam-5087	174	4	,	,	PUNCT
ejpam-5087	174	5	.	.	PUNCT
ejpam-5087	174	6	,	,	PUNCT
ejpam-5087	174	7	1996	1996	NUM
ejpam-5087	174	8	.	.	PUNCT
ejpam-5087	175	1	[	[	X
ejpam-5087	175	2	11	11	NUM
ejpam-5087	175	3	]	]	X
ejpam-5087	175	4	harry	harry	PROPN
ejpam-5087	175	5	hochstadt	hochstadt	PROPN
ejpam-5087	175	6	.	.	PUNCT
ejpam-5087	176	1	integral	integral	ADJ
ejpam-5087	176	2	equations	equation	NOUN
ejpam-5087	176	3	.	.	PUNCT
ejpam-5087	177	1	wiley	wiley	PROPN
ejpam-5087	177	2	,	,	PUNCT
ejpam-5087	177	3	january	january	PROPN
ejpam-5087	177	4	18	18	NUM
ejpam-5087	177	5	,	,	PUNCT
ejpam-5087	177	6	1989	1989	NUM
ejpam-5087	177	7	.	.	PUNCT
ejpam-5087	178	1	[	[	X
ejpam-5087	178	2	12	12	NUM
ejpam-5087	178	3	]	]	X
ejpam-5087	178	4	neda	neda	PROPN
ejpam-5087	178	5	khaksari	khaksari	PROPN
ejpam-5087	178	6	,	,	PUNCT
ejpam-5087	178	7	mahmoud	mahmoud	PROPN
ejpam-5087	178	8	paripour	paripour	NOUN
ejpam-5087	178	9	,	,	PUNCT
ejpam-5087	178	10	and	and	CCONJ
ejpam-5087	178	11	nasrin	nasrin	PROPN
ejpam-5087	178	12	karamikabir	karamikabir	PROPN
ejpam-5087	178	13	.	.	PUNCT
ejpam-5087	179	1	numerical	numerical	ADJ
ejpam-5087	179	2	solution	solution	NOUN
ejpam-5087	179	3	for	for	ADP
ejpam-5087	179	4	the	the	DET
ejpam-5087	179	5	2d	2d	PROPN
ejpam-5087	179	6	linear	linear	PROPN
ejpam-5087	179	7	fredholm	fredholm	ADJ
ejpam-5087	179	8	functional	functional	ADJ
ejpam-5087	179	9	integral	integral	ADJ
ejpam-5087	179	10	equations	equation	NOUN
ejpam-5087	179	11	.	.	PUNCT
ejpam-5087	180	1	journal	journal	NOUN
ejpam-5087	180	2	of	of	ADP
ejpam-5087	180	3	mathematics	mathematic	NOUN
ejpam-5087	180	4	,	,	PUNCT
ejpam-5087	180	5	2021:1–10	2021:1–10	NOUN
ejpam-5087	180	6	,	,	PUNCT
ejpam-5087	180	7	2021	2021	NUM
ejpam-5087	180	8	.	.	PUNCT
ejpam-5087	181	1	references	reference	NOUN
ejpam-5087	181	2	1081	1081	NUM
ejpam-5087	181	3	[	[	X
ejpam-5087	181	4	13	13	NUM
ejpam-5087	181	5	]	]	SYM
ejpam-5087	181	6	ak	ak	PROPN
ejpam-5087	181	7	khamis	khamis	PROPN
ejpam-5087	181	8	,	,	PUNCT
ejpam-5087	181	9	mah	mah	PROPN
ejpam-5087	181	10	ismail	ismail	PROPN
ejpam-5087	181	11	,	,	PUNCT
ejpam-5087	181	12	ma	ma	PROPN
ejpam-5087	181	13	abdou	abdou	PROPN
ejpam-5087	181	14	,	,	PUNCT
ejpam-5087	181	15	and	and	CCONJ
ejpam-5087	181	16	am	be	AUX
ejpam-5087	181	17	al	al	PROPN
ejpam-5087	181	18	-	-	PUNCT
ejpam-5087	181	19	bugami	bugami	NOUN
ejpam-5087	181	20	.	.	PUNCT
ejpam-5087	182	1	mixed	mixed	ADJ
ejpam-5087	182	2	integral	integral	ADJ
ejpam-5087	182	3	equation	equation	NOUN
ejpam-5087	182	4	with	with	ADP
ejpam-5087	182	5	cauchy	cauchy	ADJ
ejpam-5087	182	6	kernel	kernel	PROPN
ejpam-5087	182	7	and	and	CCONJ
ejpam-5087	182	8	contact	contact	NOUN
ejpam-5087	182	9	problem	problem	NOUN
ejpam-5087	182	10	.	.	PUNCT
ejpam-5087	183	1	life	life	PROPN
ejpam-5087	183	2	sci	sci	PROPN
ejpam-5087	183	3	.	.	PUNCT
ejpam-5087	183	4	j	j	PROPN
ejpam-5087	183	5	,	,	PUNCT
ejpam-5087	183	6	10:1208–1215	10:1208–1215	NUM
ejpam-5087	183	7	,	,	PUNCT
ejpam-5087	183	8	2013	2013	NUM
ejpam-5087	183	9	.	.	PUNCT
ejpam-5087	184	1	[	[	X
ejpam-5087	184	2	14	14	NUM
ejpam-5087	184	3	]	]	X
ejpam-5087	184	4	sunil	sunil	PROPN
ejpam-5087	184	5	kumar	kumar	PROPN
ejpam-5087	184	6	.	.	PUNCT
ejpam-5087	185	1	a	a	DET
ejpam-5087	185	2	discrete	discrete	ADJ
ejpam-5087	185	3	collocation	collocation	NOUN
ejpam-5087	185	4	-	-	PUNCT
ejpam-5087	185	5	type	type	NOUN
ejpam-5087	185	6	method	method	NOUN
ejpam-5087	185	7	for	for	ADP
ejpam-5087	185	8	hammerstein	hammerstein	PROPN
ejpam-5087	185	9	equations	equation	NOUN
ejpam-5087	185	10	.	.	PUNCT
ejpam-5087	186	1	siam	siam	PROPN
ejpam-5087	186	2	journal	journal	PROPN
ejpam-5087	186	3	on	on	ADP
ejpam-5087	186	4	numerical	numerical	ADJ
ejpam-5087	186	5	analysis	analysis	NOUN
ejpam-5087	186	6	,	,	PUNCT
ejpam-5087	186	7	25(2):328–341	25(2):328–341	NOUN
ejpam-5087	186	8	,	,	PUNCT
ejpam-5087	186	9	1988	1988	NUM
ejpam-5087	186	10	.	.	PUNCT
ejpam-5087	187	1	[	[	X
ejpam-5087	187	2	15	15	NUM
ejpam-5087	187	3	]	]	X
ejpam-5087	187	4	sunil	sunil	PROPN
ejpam-5087	187	5	kumar	kumar	PROPN
ejpam-5087	187	6	and	and	CCONJ
ejpam-5087	187	7	ian	ian	PROPN
ejpam-5087	187	8	h	h	PROPN
ejpam-5087	187	9	sloan	sloan	PROPN
ejpam-5087	187	10	.	.	PUNCT
ejpam-5087	188	1	a	a	DET
ejpam-5087	188	2	new	new	ADJ
ejpam-5087	188	3	collocation	collocation	NOUN
ejpam-5087	188	4	-	-	PUNCT
ejpam-5087	188	5	type	type	NOUN
ejpam-5087	188	6	method	method	NOUN
ejpam-5087	188	7	for	for	ADP
ejpam-5087	188	8	hammerstein	hammerstein	PROPN
ejpam-5087	188	9	integral	integral	ADJ
ejpam-5087	188	10	equations	equation	NOUN
ejpam-5087	188	11	.	.	PUNCT
ejpam-5087	189	1	mathematics	mathematic	NOUN
ejpam-5087	189	2	of	of	ADP
ejpam-5087	189	3	computation	computation	NOUN
ejpam-5087	189	4	,	,	PUNCT
ejpam-5087	189	5	48(178):585–593	48(178):585–593	PROPN
ejpam-5087	189	6	,	,	PUNCT
ejpam-5087	189	7	1987	1987	NUM
ejpam-5087	189	8	.	.	PUNCT
ejpam-5087	190	1	[	[	X
ejpam-5087	190	2	16	16	NUM
ejpam-5087	190	3	]	]	X
ejpam-5087	190	4	peter	peter	PROPN
ejpam-5087	190	5	linz	linz	PROPN
ejpam-5087	190	6	.	.	PUNCT
ejpam-5087	191	1	analytical	analytical	ADJ
ejpam-5087	191	2	and	and	CCONJ
ejpam-5087	191	3	numerical	numerical	ADJ
ejpam-5087	191	4	methods	method	NOUN
ejpam-5087	191	5	for	for	ADP
ejpam-5087	191	6	volterra	volterra	NOUN
ejpam-5087	191	7	equations	equation	NOUN
ejpam-5087	191	8	.	.	PUNCT
ejpam-5087	192	1	siam	siam	PROPN
ejpam-5087	192	2	,	,	PUNCT
ejpam-5087	192	3	1985	1985	NUM
ejpam-5087	192	4	.	.	PUNCT
ejpam-5087	193	1	[	[	X
ejpam-5087	193	2	17	17	NUM
ejpam-5087	193	3	]	]	X
ejpam-5087	193	4	daniela	daniela	PROPN
ejpam-5087	193	5	marian	marian	PROPN
ejpam-5087	193	6	,	,	PUNCT
ejpam-5087	193	7	sorina	sorina	PROPN
ejpam-5087	193	8	anamaria	anamaria	PROPN
ejpam-5087	193	9	ciplea	ciplea	PROPN
ejpam-5087	193	10	,	,	PUNCT
ejpam-5087	193	11	and	and	CCONJ
ejpam-5087	193	12	nicolaie	nicolaie	PROPN
ejpam-5087	193	13	lungu	lungu	PROPN
ejpam-5087	193	14	.	.	PUNCT
ejpam-5087	194	1	on	on	ADP
ejpam-5087	194	2	a	a	DET
ejpam-5087	194	3	functional	functional	ADJ
ejpam-5087	194	4	integral	integral	ADJ
ejpam-5087	194	5	equation	equation	NOUN
ejpam-5087	194	6	.	.	PUNCT
ejpam-5087	195	1	symmetry	symmetry	NOUN
ejpam-5087	195	2	,	,	PUNCT
ejpam-5087	195	3	13(8):1321	13(8):1321	NUM
ejpam-5087	195	4	,	,	PUNCT
ejpam-5087	195	5	2021	2021	NUM
ejpam-5087	195	6	.	.	PUNCT
ejpam-5087	196	1	[	[	X
ejpam-5087	196	2	18	18	NUM
ejpam-5087	196	3	]	]	PUNCT
ejpam-5087	196	4	lakshmi	lakshmi	PROPN
ejpam-5087	196	5	narayan	narayan	PROPN
ejpam-5087	196	6	mishra	mishra	PROPN
ejpam-5087	196	7	,	,	PUNCT
ejpam-5087	196	8	vijai	vijai	PROPN
ejpam-5087	196	9	kumar	kumar	PROPN
ejpam-5087	196	10	pathak	pathak	PROPN
ejpam-5087	196	11	,	,	PUNCT
ejpam-5087	196	12	and	and	CCONJ
ejpam-5087	196	13	dumitru	dumitru	PROPN
ejpam-5087	196	14	baleanu	baleanu	NOUN
ejpam-5087	196	15	.	.	PUNCT
ejpam-5087	197	1	approximation	approximation	NOUN
ejpam-5087	197	2	of	of	ADP
ejpam-5087	197	3	solutions	solution	NOUN
ejpam-5087	197	4	for	for	ADP
ejpam-5087	197	5	nonlinear	nonlinear	ADJ
ejpam-5087	197	6	functional	functional	ADJ
ejpam-5087	197	7	integral	integral	ADJ
ejpam-5087	197	8	equations	equation	NOUN
ejpam-5087	197	9	.	.	PUNCT
ejpam-5087	198	1	aims	aim	VERB
ejpam-5087	198	2	math	math	NOUN
ejpam-5087	198	3	,	,	PUNCT
ejpam-5087	198	4	7(9):17486	7(9):17486	NUM
ejpam-5087	198	5	–	–	PUNCT
ejpam-5087	198	6	17506	17506	NUM
ejpam-5087	198	7	,	,	PUNCT
ejpam-5087	198	8	2022	2022	NUM
ejpam-5087	198	9	.	.	PUNCT