id	sid	tid	token	lemma	pos
ejpam-4087	1	1	european	european	PROPN
ejpam-4087	1	2	journal	journal	PROPN
ejpam-4087	1	3	of	of	ADP
ejpam-4087	1	4	pure	pure	ADJ
ejpam-4087	1	5	and	and	CCONJ
ejpam-4087	1	6	applied	apply	VERB
ejpam-4087	1	7	mathematics	mathematic	NOUN
ejpam-4087	1	8	vol	vol	NOUN
ejpam-4087	1	9	.	.	PROPN
ejpam-4087	2	1	15	15	NUM
ejpam-4087	2	2	,	,	PUNCT
ejpam-4087	2	3	no	no	INTJ
ejpam-4087	2	4	.	.	NOUN
ejpam-4087	2	5	1	1	NUM
ejpam-4087	2	6	,	,	PUNCT
ejpam-4087	2	7	2022	2022	NUM
ejpam-4087	2	8	,	,	PUNCT
ejpam-4087	2	9	290	290	NUM
ejpam-4087	2	10	-	-	SYM
ejpam-4087	2	11	313	313	NUM
ejpam-4087	2	12	issn	issn	PROPN
ejpam-4087	2	13	1307	1307	NUM
ejpam-4087	2	14	-	-	SYM
ejpam-4087	2	15	5543	5543	NUM
ejpam-4087	2	16	–	–	PUNCT
ejpam-4087	2	17	ejpam.com	ejpam.com	X
ejpam-4087	2	18	published	publish	VERB
ejpam-4087	2	19	by	by	ADP
ejpam-4087	2	20	new	new	PROPN
ejpam-4087	2	21	york	york	PROPN
ejpam-4087	2	22	business	business	PROPN
ejpam-4087	2	23	global	global	ADJ
ejpam-4087	2	24	solving	solve	VERB
ejpam-4087	2	25	fuzzy	fuzzy	ADJ
ejpam-4087	2	26	system	system	NOUN
ejpam-4087	2	27	of	of	ADP
ejpam-4087	2	28	volterra	volterra	PROPN
ejpam-4087	2	29	integro	integro	PROPN
ejpam-4087	2	30	-	-	PUNCT
ejpam-4087	2	31	differential	differential	NOUN
ejpam-4087	2	32	equations	equation	NOUN
ejpam-4087	2	33	by	by	ADP
ejpam-4087	2	34	using	use	VERB
ejpam-4087	2	35	adomian	adomian	NOUN
ejpam-4087	2	36	decomposition	decomposition	NOUN
ejpam-4087	2	37	method	method	NOUN
ejpam-4087	2	38	mahasin	mahasin	NOUN
ejpam-4087	2	39	thabet	thabet	PROPN
ejpam-4087	2	40	younis1	younis1	PROPN
ejpam-4087	2	41	,	,	PUNCT
ejpam-4087	2	42	waleed	waleed	PROPN
ejpam-4087	2	43	al	al	PROPN
ejpam-4087	2	44	-	-	PUNCT
ejpam-4087	2	45	hayani1,∗	hayani1,∗	NOUN
ejpam-4087	2	46	1	1	NUM
ejpam-4087	2	47	department	department	NOUN
ejpam-4087	2	48	of	of	ADP
ejpam-4087	2	49	mathematics	mathematic	NOUN
ejpam-4087	2	50	,	,	PUNCT
ejpam-4087	2	51	college	college	NOUN
ejpam-4087	2	52	of	of	ADP
ejpam-4087	2	53	computer	computer	NOUN
ejpam-4087	2	54	science	science	NOUN
ejpam-4087	2	55	and	and	CCONJ
ejpam-4087	2	56	mathematics	mathematic	NOUN
ejpam-4087	2	57	,	,	PUNCT
ejpam-4087	2	58	university	university	PROPN
ejpam-4087	2	59	of	of	ADP
ejpam-4087	2	60	mosul	mosul	PROPN
ejpam-4087	2	61	,	,	PUNCT
ejpam-4087	2	62	iraq	iraq	PROPN
ejpam-4087	2	63	abstract	abstract	NOUN
ejpam-4087	2	64	.	.	PUNCT
ejpam-4087	3	1	in	in	ADP
ejpam-4087	3	2	this	this	DET
ejpam-4087	3	3	paper	paper	NOUN
ejpam-4087	3	4	,	,	PUNCT
ejpam-4087	3	5	the	the	DET
ejpam-4087	3	6	adomian	adomian	NOUN
ejpam-4087	3	7	decomposition	decomposition	NOUN
ejpam-4087	3	8	method	method	NOUN
ejpam-4087	3	9	and	and	CCONJ
ejpam-4087	3	10	modified	modify	VERB
ejpam-4087	3	11	technique	technique	NOUN
ejpam-4087	3	12	are	be	AUX
ejpam-4087	3	13	successfully	successfully	ADV
ejpam-4087	3	14	applied	apply	VERB
ejpam-4087	3	15	to	to	PART
ejpam-4087	3	16	find	find	VERB
ejpam-4087	3	17	the	the	DET
ejpam-4087	3	18	approximate	approximate	ADJ
ejpam-4087	3	19	solutions	solution	NOUN
ejpam-4087	3	20	of	of	ADP
ejpam-4087	3	21	the	the	DET
ejpam-4087	3	22	fuzzy	fuzzy	ADJ
ejpam-4087	3	23	system	system	NOUN
ejpam-4087	3	24	of	of	ADP
ejpam-4087	3	25	volterra	volterra	PROPN
ejpam-4087	3	26	integro	integro	PROPN
ejpam-4087	3	27	-	-	PUNCT
ejpam-4087	3	28	differential	differential	NOUN
ejpam-4087	3	29	equations	equation	NOUN
ejpam-4087	3	30	.	.	PUNCT
ejpam-4087	4	1	the	the	DET
ejpam-4087	4	2	approximate	approximate	ADJ
ejpam-4087	4	3	solutions	solution	NOUN
ejpam-4087	4	4	obtained	obtain	VERB
ejpam-4087	4	5	have	have	AUX
ejpam-4087	4	6	been	be	AUX
ejpam-4087	4	7	improved	improve	VERB
ejpam-4087	4	8	by	by	ADP
ejpam-4087	4	9	using	use	VERB
ejpam-4087	4	10	the	the	DET
ejpam-4087	4	11	iteration	iteration	NOUN
ejpam-4087	4	12	of	of	ADP
ejpam-4087	4	13	the	the	DET
ejpam-4087	4	14	integral	integral	ADJ
ejpam-4087	4	15	equation	equation	NOUN
ejpam-4087	4	16	and	and	CCONJ
ejpam-4087	4	17	the	the	DET
ejpam-4087	4	18	numerical	numerical	ADJ
ejpam-4087	4	19	solution	solution	NOUN
ejpam-4087	4	20	with	with	ADP
ejpam-4087	4	21	the	the	DET
ejpam-4087	4	22	simpson	simpson	PROPN
ejpam-4087	4	23	rule	rule	PROPN
ejpam-4087	4	24	and	and	CCONJ
ejpam-4087	4	25	trapezoidal	trapezoidal	ADJ
ejpam-4087	4	26	rule	rule	NOUN
ejpam-4087	4	27	.	.	PUNCT
ejpam-4087	5	1	these	these	DET
ejpam-4087	5	2	proposed	propose	VERB
ejpam-4087	5	3	methods	method	NOUN
ejpam-4087	5	4	gave	give	VERB
ejpam-4087	5	5	excellent	excellent	ADJ
ejpam-4087	5	6	results	result	NOUN
ejpam-4087	5	7	close	close	ADJ
ejpam-4087	5	8	to	to	ADP
ejpam-4087	5	9	the	the	DET
ejpam-4087	5	10	exact	exact	ADJ
ejpam-4087	5	11	solution	solution	NOUN
ejpam-4087	5	12	.	.	PUNCT
ejpam-4087	6	1	the	the	DET
ejpam-4087	6	2	results	result	NOUN
ejpam-4087	6	3	show	show	VERB
ejpam-4087	6	4	that	that	SCONJ
ejpam-4087	6	5	the	the	DET
ejpam-4087	6	6	present	present	ADJ
ejpam-4087	6	7	method	method	NOUN
ejpam-4087	6	8	is	be	AUX
ejpam-4087	6	9	very	very	ADV
ejpam-4087	6	10	straightforward	straightforward	ADJ
ejpam-4087	6	11	and	and	CCONJ
ejpam-4087	6	12	effective	effective	ADJ
ejpam-4087	6	13	.	.	PUNCT
ejpam-4087	7	1	2020	2020	NUM
ejpam-4087	7	2	mathematics	mathematic	NOUN
ejpam-4087	7	3	subject	subject	NOUN
ejpam-4087	7	4	classifications	classification	NOUN
ejpam-4087	7	5	:	:	PUNCT
ejpam-4087	7	6	03e72	03e72	NUM
ejpam-4087	7	7	,	,	PUNCT
ejpam-4087	7	8	26a42	26a42	NUM
ejpam-4087	7	9	,	,	PUNCT
ejpam-4087	7	10	45j05	45j05	ADJ
ejpam-4087	7	11	key	key	ADJ
ejpam-4087	7	12	words	word	NOUN
ejpam-4087	7	13	and	and	CCONJ
ejpam-4087	7	14	phrases	phrase	NOUN
ejpam-4087	7	15	:	:	PUNCT
ejpam-4087	7	16	fyzzy	fyzzy	ADJ
ejpam-4087	7	17	numbers	number	NOUN
ejpam-4087	7	18	,	,	PUNCT
ejpam-4087	7	19	fuzzy	fuzzy	ADJ
ejpam-4087	7	20	systems	system	NOUN
ejpam-4087	7	21	of	of	ADP
ejpam-4087	7	22	volterra	volterra	PROPN
ejpam-4087	7	23	integro	integro	PROPN
ejpam-4087	7	24	-	-	PUNCT
ejpam-4087	7	25	differential	differential	NOUN
ejpam-4087	7	26	equations	equation	NOUN
ejpam-4087	7	27	,	,	PUNCT
ejpam-4087	7	28	adomian	adomian	NOUN
ejpam-4087	7	29	decomposition	decomposition	NOUN
ejpam-4087	7	30	method	method	NOUN
ejpam-4087	7	31	,	,	PUNCT
ejpam-4087	7	32	modified	modify	VERB
ejpam-4087	7	33	technique	technique	NOUN
ejpam-4087	7	34	,	,	PUNCT
ejpam-4087	7	35	adomian	adomian	NOUN
ejpam-4087	7	36	polynomials	polynomial	NOUN
ejpam-4087	7	37	1	1	NUM
ejpam-4087	7	38	.	.	PUNCT
ejpam-4087	8	1	introduction	introduction	NOUN
ejpam-4087	8	2	integral	integral	ADJ
ejpam-4087	8	3	equations	equation	NOUN
ejpam-4087	8	4	are	be	AUX
ejpam-4087	8	5	used	use	VERB
ejpam-4087	8	6	in	in	ADP
ejpam-4087	8	7	variety	variety	NOUN
ejpam-4087	8	8	scientific	scientific	ADJ
ejpam-4087	8	9	and	and	CCONJ
ejpam-4087	8	10	technical	technical	ADJ
ejpam-4087	8	11	fields	field	NOUN
ejpam-4087	8	12	,	,	PUNCT
ejpam-4087	8	13	especially	especially	ADV
ejpam-4087	8	14	in	in	ADP
ejpam-4087	8	15	engineering	engineering	NOUN
ejpam-4087	8	16	fields	field	NOUN
ejpam-4087	8	17	,	,	PUNCT
ejpam-4087	8	18	where	where	SCONJ
ejpam-4087	8	19	they	they	PRON
ejpam-4087	8	20	were	be	AUX
ejpam-4087	8	21	considered	consider	VERB
ejpam-4087	8	22	from	from	ADP
ejpam-4087	8	23	a	a	DET
ejpam-4087	8	24	period	period	NOUN
ejpam-4087	8	25	not	not	PART
ejpam-4087	8	26	briefly	briefly	ADV
ejpam-4087	8	27	one	one	NUM
ejpam-4087	8	28	of	of	ADP
ejpam-4087	8	29	the	the	DET
ejpam-4087	8	30	most	most	ADV
ejpam-4087	8	31	important	important	ADJ
ejpam-4087	8	32	tools	tool	NOUN
ejpam-4087	8	33	in	in	ADP
ejpam-4087	8	34	applied	applied	ADJ
ejpam-4087	8	35	mathematics	mathematic	NOUN
ejpam-4087	8	36	.	.	PUNCT
ejpam-4087	9	1	mathematical	mathematical	ADJ
ejpam-4087	9	2	modeling	modeling	NOUN
ejpam-4087	9	3	problems	problem	NOUN
ejpam-4087	9	4	common	common	ADJ
ejpam-4087	9	5	in	in	ADP
ejpam-4087	9	6	the	the	DET
ejpam-4087	9	7	real	real	ADJ
ejpam-4087	9	8	world	world	NOUN
ejpam-4087	9	9	and	and	CCONJ
ejpam-4087	9	10	in	in	ADP
ejpam-4087	9	11	our	our	PRON
ejpam-4087	9	12	lives	life	NOUN
ejpam-4087	9	13	are	be	AUX
ejpam-4087	9	14	the	the	DET
ejpam-4087	9	15	result	result	NOUN
ejpam-4087	9	16	of	of	ADP
ejpam-4087	9	17	analysis	analysis	NOUN
ejpam-4087	9	18	of	of	ADP
ejpam-4087	9	19	differential	differential	ADJ
ejpam-4087	9	20	equations	equation	NOUN
ejpam-4087	9	21	,	,	PUNCT
ejpam-4087	9	22	integral	integral	ADJ
ejpam-4087	9	23	equations	equation	NOUN
ejpam-4087	9	24	,	,	PUNCT
ejpam-4087	9	25	integro	integro	ADJ
ejpam-4087	9	26	-	-	PUNCT
ejpam-4087	9	27	differential	differential	NOUN
ejpam-4087	9	28	equations	equation	NOUN
ejpam-4087	9	29	and	and	CCONJ
ejpam-4087	9	30	statistical	statistical	ADJ
ejpam-4087	9	31	equations	equation	NOUN
ejpam-4087	9	32	,	,	PUNCT
ejpam-4087	9	33	and	and	CCONJ
ejpam-4087	9	34	others	other	NOUN
ejpam-4087	9	35	.	.	PUNCT
ejpam-4087	10	1	many	many	ADJ
ejpam-4087	10	2	mathematical	mathematical	ADJ
ejpam-4087	10	3	formulations	formulation	NOUN
ejpam-4087	10	4	of	of	ADP
ejpam-4087	10	5	some	some	DET
ejpam-4087	10	6	physical	physical	ADJ
ejpam-4087	10	7	phenomena	phenomenon	NOUN
ejpam-4087	10	8	contain	contain	VERB
ejpam-4087	10	9	,	,	PUNCT
ejpam-4087	10	10	integro	integro	ADJ
ejpam-4087	10	11	-	-	PUNCT
ejpam-4087	10	12	differential	differential	NOUN
ejpam-4087	10	13	equations	equation	NOUN
ejpam-4087	10	14	,	,	PUNCT
ejpam-4087	10	15	these	these	DET
ejpam-4087	10	16	equations	equation	NOUN
ejpam-4087	10	17	appear	appear	VERB
ejpam-4087	10	18	in	in	ADP
ejpam-4087	10	19	fluid	fluid	ADJ
ejpam-4087	10	20	mechanics	mechanic	NOUN
ejpam-4087	10	21	,	,	PUNCT
ejpam-4087	10	22	biological	biological	ADJ
ejpam-4087	10	23	models	model	NOUN
ejpam-4087	10	24	,	,	PUNCT
ejpam-4087	10	25	kinetic	kinetic	ADJ
ejpam-4087	10	26	physics	physics	NOUN
ejpam-4087	10	27	and	and	CCONJ
ejpam-4087	10	28	chemical	chemical	NOUN
ejpam-4087	10	29	reactions	reaction	NOUN
ejpam-4087	10	30	,	,	PUNCT
ejpam-4087	10	31	as	as	ADV
ejpam-4087	10	32	well	well	ADV
ejpam-4087	10	33	as	as	ADP
ejpam-4087	10	34	,	,	PUNCT
ejpam-4087	10	35	integro	integro	ADJ
ejpam-4087	10	36	-	-	PUNCT
ejpam-4087	10	37	differential	differential	NOUN
ejpam-4087	10	38	equations	equation	NOUN
ejpam-4087	10	39	appear	appear	VERB
ejpam-4087	10	40	in	in	ADP
ejpam-4087	10	41	many	many	ADJ
ejpam-4087	10	42	physical	physical	ADJ
ejpam-4087	10	43	processes	process	NOUN
ejpam-4087	10	44	.	.	PUNCT
ejpam-4087	11	1	like	like	ADP
ejpam-4087	11	2	glass	glass	NOUN
ejpam-4087	11	3	formation	formation	NOUN
ejpam-4087	11	4	and	and	CCONJ
ejpam-4087	11	5	nano	nano	NOUN
ejpam-4087	11	6	-	-	PUNCT
ejpam-4087	11	7	dynamics	dynamic	NOUN
ejpam-4087	11	8	[	[	X
ejpam-4087	11	9	1	1	NUM
ejpam-4087	11	10	]	]	PUNCT
ejpam-4087	11	11	.	.	PUNCT
ejpam-4087	12	1	there	there	PRON
ejpam-4087	12	2	are	be	VERB
ejpam-4087	12	3	many	many	ADJ
ejpam-4087	12	4	effective	effective	ADJ
ejpam-4087	12	5	ways	way	NOUN
ejpam-4087	12	6	to	to	PART
ejpam-4087	12	7	find	find	VERB
ejpam-4087	12	8	approximate	approximate	ADJ
ejpam-4087	12	9	solutions	solution	NOUN
ejpam-4087	12	10	and	and	CCONJ
ejpam-4087	12	11	numerical	numerical	ADJ
ejpam-4087	12	12	and	and	CCONJ
ejpam-4087	12	13	analytical	analytical	ADJ
ejpam-4087	12	14	solutions	solution	NOUN
ejpam-4087	12	15	to	to	PART
ejpam-4087	12	16	linear	linear	VERB
ejpam-4087	12	17	and	and	CCONJ
ejpam-4087	12	18	nonlinear	nonlinear	ADJ
ejpam-4087	12	19	problems	problem	NOUN
ejpam-4087	12	20	of	of	ADP
ejpam-4087	12	21	integral	integral	ADJ
ejpam-4087	12	22	equations	equation	NOUN
ejpam-4087	12	23	and	and	CCONJ
ejpam-4087	12	24	integro	integro	ADJ
ejpam-4087	12	25	-	-	PUNCT
ejpam-4087	12	26	differential	differential	NOUN
ejpam-4087	12	27	equations	equation	NOUN
ejpam-4087	12	28	used	use	VERB
ejpam-4087	12	29	over	over	ADP
ejpam-4087	12	30	decades	decade	NOUN
ejpam-4087	12	31	volterra	volterra	PROPN
ejpam-4087	12	32	integro	integro	PROPN
ejpam-4087	12	33	-	-	PUNCT
ejpam-4087	12	34	differential	differential	NOUN
ejpam-4087	12	35	equations	equation	NOUN
ejpam-4087	12	36	which	which	PRON
ejpam-4087	12	37	has	have	VERB
ejpam-4087	12	38	continuous	continuous	ADJ
ejpam-4087	12	39	kernel	kernel	NOUN
ejpam-4087	13	1	[	[	X
ejpam-4087	13	2	1	1	NUM
ejpam-4087	13	3	]	]	PUNCT
ejpam-4087	13	4	.	.	PUNCT
ejpam-4087	14	1	approximation	approximation	NOUN
ejpam-4087	14	2	solution	solution	NOUN
ejpam-4087	14	3	based	base	VERB
ejpam-4087	14	4	on	on	ADP
ejpam-4087	14	5	basis	basis	NOUN
ejpam-4087	14	6	functions	function	NOUN
ejpam-4087	14	7	has	have	AUX
ejpam-4087	14	8	been	be	AUX
ejpam-4087	14	9	utilized	utilize	VERB
ejpam-4087	14	10	to	to	PART
ejpam-4087	14	11	estimate	estimate	VERB
ejpam-4087	14	12	solutions	solution	NOUN
ejpam-4087	14	13	of	of	ADP
ejpam-4087	14	14	integral	integral	ADJ
ejpam-4087	14	15	equation	equation	NOUN
ejpam-4087	14	16	in	in	ADP
ejpam-4087	14	17	recent	recent	ADJ
ejpam-4087	14	18	years	year	NOUN
ejpam-4087	14	19	.	.	PUNCT
ejpam-4087	15	1	∗corresponding	∗corresponde	VERB
ejpam-4087	15	2	author	author	NOUN
ejpam-4087	15	3	.	.	PUNCT
ejpam-4087	16	1	doi	doi	NOUN
ejpam-4087	16	2	:	:	PUNCT
ejpam-4087	16	3	https://doi.org/10.29020/nybg.ejpam.v15i1	https://doi.org/10.29020/nybg.ejpam.v15i1	NOUN
ejpam-4087	16	4	.	.	PUNCT
ejpam-4087	17	1	email	email	NOUN
ejpam-4087	17	2	addresses	address	NOUN
ejpam-4087	17	3	:	:	PUNCT
ejpam-4087	17	4	mahasin	mahasin	NOUN
ejpam-4087	17	5	thabet@uomosul.edu.iq	thabet@uomosul.edu.iq	NOUN
ejpam-4087	17	6	(	(	PUNCT
ejpam-4087	17	7	m.	m.	NOUN
ejpam-4087	17	8	t.	t.	PROPN
ejpam-4087	17	9	younis	younis	PROPN
ejpam-4087	17	10	)	)	PUNCT
ejpam-4087	17	11	,	,	PUNCT
ejpam-4087	17	12	waleedalhayani@uomosul.edu.iq	waleedalhayani@uomosul.edu.iq	NOUN
ejpam-4087	17	13	,	,	PUNCT
ejpam-4087	17	14	waleedalhayani@yahoo.es	waleedalhayani@yahoo.es	PROPN
ejpam-4087	17	15	(	(	PUNCT
ejpam-4087	17	16	w.	w.	PROPN
ejpam-4087	17	17	al	al	PROPN
ejpam-4087	17	18	-	-	PUNCT
ejpam-4087	17	19	hayani	hayani	PROPN
ejpam-4087	17	20	)	)	PUNCT
ejpam-4087	17	21	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4087	18	1	290	290	NUM
ejpam-4087	18	2	©	©	PROPN
ejpam-4087	18	3	2022	2022	NUM
ejpam-4087	18	4	ejpam	ejpam	VERB
ejpam-4087	18	5	all	all	DET
ejpam-4087	18	6	rights	right	NOUN
ejpam-4087	18	7	reserved	reserve	VERB
ejpam-4087	18	8	.	.	PUNCT
ejpam-4087	19	1	m.	m.	NOUN
ejpam-4087	19	2	t.	t.	PROPN
ejpam-4087	19	3	younis	younis	PROPN
ejpam-4087	19	4	,	,	PUNCT
ejpam-4087	19	5	w.	w.	PROPN
ejpam-4087	19	6	al	al	PROPN
ejpam-4087	19	7	-	-	PUNCT
ejpam-4087	19	8	hayani	hayani	PROPN
ejpam-4087	19	9	/	/	SYM
ejpam-4087	19	10	eur	eur	PROPN
ejpam-4087	19	11	.	.	PUNCT
ejpam-4087	20	1	j.	j.	PROPN
ejpam-4087	20	2	pure	pure	PROPN
ejpam-4087	20	3	appl	appl	PROPN
ejpam-4087	20	4	.	.	PROPN
ejpam-4087	20	5	math	math	PROPN
ejpam-4087	20	6	,	,	PUNCT
ejpam-4087	20	7	15	15	NUM
ejpam-4087	20	8	(	(	PUNCT
ejpam-4087	20	9	1	1	NUM
ejpam-4087	20	10	)	)	PUNCT
ejpam-4087	20	11	(	(	PUNCT
ejpam-4087	20	12	2022	2022	NUM
ejpam-4087	20	13	)	)	PUNCT
ejpam-4087	20	14	,	,	PUNCT
ejpam-4087	20	15	290	290	NUM
ejpam-4087	20	16	-	-	SYM
ejpam-4087	20	17	313	313	NUM
ejpam-4087	20	18	291	291	NUM
ejpam-4087	20	19	basic	basic	ADJ
ejpam-4087	20	20	concept	concept	NOUN
ejpam-4087	20	21	of	of	ADP
ejpam-4087	20	22	fuzzy	fuzzy	ADJ
ejpam-4087	20	23	was	be	AUX
ejpam-4087	20	24	first	first	ADV
ejpam-4087	20	25	introduced	introduce	VERB
ejpam-4087	20	26	by	by	ADP
ejpam-4087	20	27	professor	professor	PROPN
ejpam-4087	20	28	zadeh	zadeh	PROPN
ejpam-4087	20	29	in	in	ADP
ejpam-4087	20	30	1965	1965	NUM
ejpam-4087	20	31	after	after	ADP
ejpam-4087	20	32	his	his	PRON
ejpam-4087	20	33	publications	publication	NOUN
ejpam-4087	20	34	on	on	ADP
ejpam-4087	20	35	fuzzy	fuzzy	ADJ
ejpam-4087	20	36	set	set	NOUN
ejpam-4087	20	37	theory	theory	NOUN
ejpam-4087	20	38	[	[	X
ejpam-4087	20	39	2	2	NUM
ejpam-4087	20	40	,	,	PUNCT
ejpam-4087	20	41	3	3	NUM
ejpam-4087	20	42	]	]	PUNCT
ejpam-4087	20	43	.	.	PUNCT
ejpam-4087	21	1	in	in	ADP
ejpam-4087	21	2	the	the	DET
ejpam-4087	21	3	beginning	beginning	NOUN
ejpam-4087	21	4	of	of	ADP
ejpam-4087	21	5	the	the	DET
ejpam-4087	21	6	1980s	1980	NOUN
ejpam-4087	21	7	,	,	PUNCT
ejpam-4087	21	8	adomian	adomian	NOUN
ejpam-4087	21	9	[	[	X
ejpam-4087	21	10	4–6	4–6	X
ejpam-4087	21	11	]	]	X
ejpam-4087	21	12	proposed	propose	VERB
ejpam-4087	21	13	a	a	DET
ejpam-4087	21	14	new	new	ADJ
ejpam-4087	21	15	and	and	CCONJ
ejpam-4087	21	16	fruitful	fruitful	ADJ
ejpam-4087	21	17	method	method	NOUN
ejpam-4087	21	18	(	(	PUNCT
ejpam-4087	21	19	so	so	ADV
ejpam-4087	21	20	-	-	PUNCT
ejpam-4087	21	21	called	call	VERB
ejpam-4087	21	22	decomposition	decomposition	NOUN
ejpam-4087	21	23	method	method	NOUN
ejpam-4087	21	24	)	)	PUNCT
ejpam-4087	21	25	for	for	ADP
ejpam-4087	21	26	solving	solve	VERB
ejpam-4087	21	27	linear	linear	NOUN
ejpam-4087	21	28	and	and	CCONJ
ejpam-4087	21	29	nonlinear	nonlinear	ADJ
ejpam-4087	21	30	(	(	PUNCT
ejpam-4087	21	31	algebraic	algebraic	ADJ
ejpam-4087	21	32	,	,	PUNCT
ejpam-4087	21	33	differential	differential	ADJ
ejpam-4087	21	34	,	,	PUNCT
ejpam-4087	21	35	partial	partial	ADJ
ejpam-4087	21	36	differential	differential	NOUN
ejpam-4087	21	37	,	,	PUNCT
ejpam-4087	21	38	integral	integral	ADJ
ejpam-4087	21	39	,	,	PUNCT
ejpam-4087	21	40	etc	etc	X
ejpam-4087	21	41	.	.	X
ejpam-4087	21	42	)	)	PUNCT
ejpam-4087	21	43	equations	equation	NOUN
ejpam-4087	21	44	.	.	PUNCT
ejpam-4087	22	1	it	it	PRON
ejpam-4087	22	2	has	have	AUX
ejpam-4087	22	3	been	be	AUX
ejpam-4087	22	4	shown	show	VERB
ejpam-4087	22	5	that	that	SCONJ
ejpam-4087	22	6	this	this	DET
ejpam-4087	22	7	method	method	NOUN
ejpam-4087	22	8	yields	yield	VERB
ejpam-4087	22	9	a	a	DET
ejpam-4087	22	10	rapid	rapid	ADJ
ejpam-4087	22	11	convergence	convergence	NOUN
ejpam-4087	22	12	of	of	ADP
ejpam-4087	22	13	the	the	DET
ejpam-4087	22	14	solutions	solution	NOUN
ejpam-4087	22	15	series	series	NOUN
ejpam-4087	22	16	to	to	PART
ejpam-4087	22	17	linear	linear	VERB
ejpam-4087	22	18	and	and	CCONJ
ejpam-4087	22	19	nonlinear	nonlinear	ADJ
ejpam-4087	22	20	deterministic	deterministic	ADJ
ejpam-4087	22	21	and	and	CCONJ
ejpam-4087	22	22	stochastic	stochastic	ADJ
ejpam-4087	22	23	equations	equation	NOUN
ejpam-4087	22	24	.	.	PUNCT
ejpam-4087	23	1	many	many	ADJ
ejpam-4087	23	2	recent	recent	ADJ
ejpam-4087	23	3	years	year	NOUN
ejpam-4087	23	4	solving	solve	VERB
ejpam-4087	23	5	fuzzy	fuzzy	ADJ
ejpam-4087	23	6	integro	integro	ADJ
ejpam-4087	23	7	-	-	PUNCT
ejpam-4087	23	8	differential	differential	NOUN
ejpam-4087	23	9	equations	equation	NOUN
ejpam-4087	23	10	,	,	PUNCT
ejpam-4087	23	11	fuzzy	fuzzy	ADJ
ejpam-4087	23	12	volterra	volterra	NOUN
ejpam-4087	23	13	-	-	PUNCT
ejpam-4087	23	14	fredholm	fredholm	NOUN
ejpam-4087	23	15	integral	integral	ADJ
ejpam-4087	23	16	equation	equation	NOUN
ejpam-4087	23	17	and	and	CCONJ
ejpam-4087	23	18	fuzzy	fuzzy	ADJ
ejpam-4087	23	19	volterra	volterra	NOUN
ejpam-4087	23	20	-	-	PUNCT
ejpam-4087	23	21	fredholm	fredholm	NOUN
ejpam-4087	23	22	integro	integro	ADJ
ejpam-4087	23	23	-	-	PUNCT
ejpam-4087	23	24	differential	differential	NOUN
ejpam-4087	23	25	equations	equation	NOUN
ejpam-4087	23	26	require	require	VERB
ejpam-4087	23	27	appropriate	appropriate	ADJ
ejpam-4087	23	28	and	and	CCONJ
ejpam-4087	23	29	applicable	applicable	ADJ
ejpam-4087	23	30	definitions	definition	NOUN
ejpam-4087	23	31	of	of	ADP
ejpam-4087	23	32	fuzzy	fuzzy	ADJ
ejpam-4087	23	33	function	function	NOUN
ejpam-4087	24	1	[	[	X
ejpam-4087	24	2	7–10	7–10	X
ejpam-4087	24	3	]	]	PUNCT
ejpam-4087	24	4	,	,	PUNCT
ejpam-4087	24	5	the	the	DET
ejpam-4087	24	6	fuzzy	fuzzy	ADJ
ejpam-4087	24	7	systems	system	NOUN
ejpam-4087	24	8	of	of	ADP
ejpam-4087	24	9	integral	integral	ADJ
ejpam-4087	24	10	equations	equation	NOUN
ejpam-4087	24	11	have	have	AUX
ejpam-4087	24	12	attracted	attract	VERB
ejpam-4087	24	13	increasing	increase	VERB
ejpam-4087	24	14	attention	attention	NOUN
ejpam-4087	24	15	,	,	PUNCT
ejpam-4087	24	16	with	with	ADP
ejpam-4087	24	17	regard	regard	NOUN
ejpam-4087	24	18	to	to	ADP
ejpam-4087	24	19	fuzzy	fuzzy	ADJ
ejpam-4087	24	20	control	control	NOUN
ejpam-4087	24	21	,	,	PUNCT
ejpam-4087	24	22	have	have	AUX
ejpam-4087	24	23	been	be	AUX
ejpam-4087	24	24	developed	develop	VERB
ejpam-4087	24	25	mathematical	mathematical	ADJ
ejpam-4087	24	26	models	model	NOUN
ejpam-4087	24	27	used	use	VERB
ejpam-4087	24	28	in	in	ADP
ejpam-4087	24	29	many	many	ADJ
ejpam-4087	24	30	problems	problem	NOUN
ejpam-4087	24	31	of	of	ADP
ejpam-4087	24	32	physics	physics	NOUN
ejpam-4087	24	33	,	,	PUNCT
ejpam-4087	24	34	biology	biology	NOUN
ejpam-4087	24	35	,	,	PUNCT
ejpam-4087	24	36	chemistry	chemistry	NOUN
ejpam-4087	24	37	,	,	PUNCT
ejpam-4087	24	38	engineering	engineering	NOUN
ejpam-4087	24	39	,	,	PUNCT
ejpam-4087	24	40	and	and	CCONJ
ejpam-4087	24	41	in	in	ADP
ejpam-4087	24	42	other	other	ADJ
ejpam-4087	24	43	fields	field	NOUN
ejpam-4087	24	44	depend	depend	VERB
ejpam-4087	24	45	on	on	ADP
ejpam-4087	24	46	an	an	DET
ejpam-4087	24	47	integral	integral	ADJ
ejpam-4087	24	48	equation	equation	NOUN
ejpam-4087	24	49	[	[	X
ejpam-4087	24	50	11	11	NUM
ejpam-4087	24	51	]	]	PUNCT
ejpam-4087	24	52	.	.	PUNCT
ejpam-4087	25	1	adm	adm	PROPN
ejpam-4087	25	2	is	be	AUX
ejpam-4087	25	3	an	an	DET
ejpam-4087	25	4	analytical	analytical	ADJ
ejpam-4087	25	5	technique	technique	NOUN
ejpam-4087	25	6	that	that	PRON
ejpam-4087	25	7	uses	use	VERB
ejpam-4087	25	8	adomian	adomian	NOUN
ejpam-4087	25	9	polynomials	polynomial	NOUN
ejpam-4087	25	10	to	to	PART
ejpam-4087	25	11	evaluate	evaluate	VERB
ejpam-4087	25	12	the	the	DET
ejpam-4087	25	13	approximate	approximate	ADJ
ejpam-4087	25	14	solutions	solution	NOUN
ejpam-4087	25	15	.	.	PUNCT
ejpam-4087	26	1	this	this	DET
ejpam-4087	26	2	method	method	NOUN
ejpam-4087	26	3	does	do	AUX
ejpam-4087	26	4	not	not	PART
ejpam-4087	26	5	simplify	simplify	VERB
ejpam-4087	26	6	or	or	CCONJ
ejpam-4087	26	7	discretize	discretize	VERB
ejpam-4087	26	8	the	the	DET
ejpam-4087	26	9	problem	problem	NOUN
ejpam-4087	26	10	,	,	PUNCT
ejpam-4087	26	11	and	and	CCONJ
ejpam-4087	26	12	it	it	PRON
ejpam-4087	26	13	can	can	AUX
ejpam-4087	26	14	be	be	AUX
ejpam-4087	26	15	used	use	VERB
ejpam-4087	26	16	to	to	PART
ejpam-4087	26	17	solve	solve	VERB
ejpam-4087	26	18	both	both	CCONJ
ejpam-4087	26	19	linear	linear	ADJ
ejpam-4087	26	20	and	and	CCONJ
ejpam-4087	26	21	non	non	ADJ
ejpam-4087	26	22	-	-	ADJ
ejpam-4087	26	23	linear	linear	ADJ
ejpam-4087	26	24	problems	problem	NOUN
ejpam-4087	26	25	[	[	X
ejpam-4087	26	26	12	12	NUM
ejpam-4087	26	27	]	]	PUNCT
ejpam-4087	26	28	.	.	PUNCT
ejpam-4087	27	1	the	the	DET
ejpam-4087	27	2	adm	adm	PROPN
ejpam-4087	27	3	has	have	AUX
ejpam-4087	27	4	been	be	AUX
ejpam-4087	27	5	used	use	VERB
ejpam-4087	27	6	to	to	PART
ejpam-4087	27	7	solve	solve	VERB
ejpam-4087	27	8	volterra	volterra	PROPN
ejpam-4087	27	9	integral	integral	ADJ
ejpam-4087	27	10	equations	equation	NOUN
ejpam-4087	27	11	,	,	PUNCT
ejpam-4087	27	12	integro	integro	ADJ
ejpam-4087	27	13	-	-	PUNCT
ejpam-4087	27	14	differential	differential	NOUN
ejpam-4087	27	15	equations	equation	NOUN
ejpam-4087	27	16	and	and	CCONJ
ejpam-4087	27	17	fredholm	fredholm	NOUN
ejpam-4087	27	18	integro	integro	ADJ
ejpam-4087	27	19	-	-	PUNCT
ejpam-4087	27	20	differential	differential	NOUN
ejpam-4087	27	21	equations	equation	NOUN
ejpam-4087	27	22	of	of	ADP
ejpam-4087	27	23	various	various	ADJ
ejpam-4087	27	24	types	type	NOUN
ejpam-4087	27	25	in	in	ADP
ejpam-4087	27	26	the	the	DET
ejpam-4087	27	27	literature	literature	NOUN
ejpam-4087	27	28	[	[	X
ejpam-4087	27	29	13	13	NUM
ejpam-4087	27	30	,	,	PUNCT
ejpam-4087	27	31	14	14	NUM
ejpam-4087	27	32	]	]	PUNCT
ejpam-4087	27	33	.	.	PUNCT
ejpam-4087	28	1	dalal	dalal	PROPN
ejpam-4087	28	2	adnan	adnan	PROPN
ejpam-4087	28	3	and	and	CCONJ
ejpam-4087	28	4	eman	eman	PROPN
ejpam-4087	28	5	ahmed	ahme	VERB
ejpam-4087	28	6	[	[	X
ejpam-4087	28	7	15	15	NUM
ejpam-4087	28	8	]	]	PUNCT
ejpam-4087	28	9	have	have	AUX
ejpam-4087	28	10	been	be	AUX
ejpam-4087	28	11	examined	examine	VERB
ejpam-4087	28	12	the	the	DET
ejpam-4087	28	13	topic	topic	NOUN
ejpam-4087	28	14	of	of	ADP
ejpam-4087	28	15	population	population	NOUN
ejpam-4087	28	16	expansion	expansion	NOUN
ejpam-4087	28	17	.	.	PUNCT
ejpam-4087	29	1	arikglu	arikglu	NOUN
ejpam-4087	29	2	and	and	CCONJ
ejpam-4087	29	3	ozkol	ozkol	NOUN
ejpam-4087	30	1	[	[	X
ejpam-4087	30	2	12	12	NUM
ejpam-4087	30	3	]	]	PUNCT
ejpam-4087	30	4	have	have	AUX
ejpam-4087	30	5	been	be	AUX
ejpam-4087	30	6	applied	apply	VERB
ejpam-4087	30	7	differential	differential	ADJ
ejpam-4087	30	8	transform	transform	NOUN
ejpam-4087	30	9	method	method	NOUN
ejpam-4087	30	10	(	(	PUNCT
ejpam-4087	30	11	dtm	dtm	PROPN
ejpam-4087	30	12	)	)	PUNCT
ejpam-4087	30	13	on	on	ADP
ejpam-4087	30	14	both	both	CCONJ
ejpam-4087	30	15	integral	integral	ADJ
ejpam-4087	30	16	equation	equation	NOUN
ejpam-4087	30	17	and	and	CCONJ
ejpam-4087	30	18	integro	integro	ADJ
ejpam-4087	30	19	-	-	PUNCT
ejpam-4087	30	20	differential	differential	NOUN
ejpam-4087	30	21	equation	equation	NOUN
ejpam-4087	30	22	system	system	NOUN
ejpam-4087	30	23	.	.	PUNCT
ejpam-4087	31	1	hassan	hassan	PROPN
ejpam-4087	31	2	and	and	CCONJ
ejpam-4087	31	3	peter	peter	PROPN
ejpam-4087	31	4	[	[	X
ejpam-4087	31	5	16	16	NUM
ejpam-4087	31	6	]	]	PUNCT
ejpam-4087	31	7	solve	solve	VERB
ejpam-4087	31	8	new	new	ADJ
ejpam-4087	31	9	iterative	iterative	NOUN
ejpam-4087	31	10	method	method	NOUN
ejpam-4087	31	11	with	with	ADP
ejpam-4087	31	12	a	a	DET
ejpam-4087	31	13	reliable	reliable	ADJ
ejpam-4087	31	14	algorithm	algorithm	NOUN
ejpam-4087	31	15	and	and	CCONJ
ejpam-4087	31	16	applied	apply	VERB
ejpam-4087	31	17	to	to	ADP
ejpam-4087	31	18	the	the	DET
ejpam-4087	31	19	systems	system	NOUN
ejpam-4087	31	20	of	of	ADP
ejpam-4087	31	21	volterra	volterra	PROPN
ejpam-4087	31	22	integro	integro	PROPN
ejpam-4087	31	23	-	-	PUNCT
ejpam-4087	31	24	differential	differential	NOUN
ejpam-4087	31	25	equations	equation	NOUN
ejpam-4087	31	26	.	.	PUNCT
ejpam-4087	32	1	berenguer	berenguer	PROPN
ejpam-4087	32	2	et	et	PROPN
ejpam-4087	32	3	al	al	PROPN
ejpam-4087	33	1	[	[	X
ejpam-4087	33	2	17	17	NUM
ejpam-4087	33	3	]	]	PUNCT
ejpam-4087	33	4	have	have	AUX
ejpam-4087	33	5	been	be	AUX
ejpam-4087	33	6	solved	solve	VERB
ejpam-4087	33	7	systems	system	NOUN
ejpam-4087	33	8	of	of	ADP
ejpam-4087	33	9	integrodifferential	integrodifferential	ADJ
ejpam-4087	33	10	equations	equation	NOUN
ejpam-4087	33	11	using	use	VERB
ejpam-4087	33	12	numerical	numerical	ADJ
ejpam-4087	33	13	of	of	ADP
ejpam-4087	33	14	fixed	fix	VERB
ejpam-4087	33	15	point	point	NOUN
ejpam-4087	33	16	.	.	PUNCT
ejpam-4087	34	1	biazar	biazar	NOUN
ejpam-4087	34	2	and	and	CCONJ
ejpam-4087	34	3	aminikhah	aminikhah	PROPN
ejpam-4087	35	1	[	[	X
ejpam-4087	35	2	18	18	NUM
ejpam-4087	35	3	]	]	PUNCT
ejpam-4087	35	4	have	have	AUX
ejpam-4087	35	5	been	be	AUX
ejpam-4087	35	6	used	use	VERB
ejpam-4087	35	7	variational	variational	ADJ
ejpam-4087	35	8	iteration	iteration	NOUN
ejpam-4087	35	9	method	method	NOUN
ejpam-4087	35	10	(	(	PUNCT
ejpam-4087	35	11	vim	vim	NOUN
ejpam-4087	35	12	)	)	PUNCT
ejpam-4087	35	13	for	for	ADP
ejpam-4087	35	14	solving	solve	VERB
ejpam-4087	35	15	nonlinear	nonlinear	ADJ
ejpam-4087	35	16	integral	integral	ADJ
ejpam-4087	35	17	-	-	PUNCT
ejpam-4087	35	18	differential	differential	NOUN
ejpam-4087	35	19	equations	equation	NOUN
ejpam-4087	35	20	.	.	PUNCT
ejpam-4087	36	1	bani	bani	PROPN
ejpam-4087	36	2	issaa	issaa	PROPN
ejpam-4087	36	3	et	et	PROPN
ejpam-4087	36	4	al	al	PROPN
ejpam-4087	37	1	[	[	X
ejpam-4087	37	2	19	19	NUM
ejpam-4087	37	3	]	]	PUNCT
ejpam-4087	37	4	applied	apply	VERB
ejpam-4087	37	5	numerical	numerical	ADJ
ejpam-4087	37	6	methods	method	NOUN
ejpam-4087	37	7	to	to	PART
ejpam-4087	37	8	slove	slove	VERB
ejpam-4087	37	9	the	the	DET
ejpam-4087	37	10	fuzzy	fuzzy	ADJ
ejpam-4087	37	11	integro	integro	ADJ
ejpam-4087	37	12	-	-	PUNCT
ejpam-4087	37	13	differential	differential	NOUN
ejpam-4087	37	14	equations	equation	NOUN
ejpam-4087	37	15	of	of	ADP
ejpam-4087	37	16	the	the	DET
ejpam-4087	37	17	second	second	ADJ
ejpam-4087	37	18	kind	kind	NOUN
ejpam-4087	37	19	.	.	PUNCT
ejpam-4087	38	1	shabestari	shabestari	VERB
ejpam-4087	38	2	et	et	PROPN
ejpam-4087	38	3	al	al	PROPN
ejpam-4087	39	1	[	[	X
ejpam-4087	39	2	20	20	NUM
ejpam-4087	39	3	]	]	PUNCT
ejpam-4087	39	4	have	have	AUX
ejpam-4087	39	5	been	be	AUX
ejpam-4087	39	6	solved	solve	VERB
ejpam-4087	39	7	fuzzy	fuzzy	ADJ
ejpam-4087	39	8	volterra	volterra	NOUN
ejpam-4087	39	9	integrodifferential	integrodifferential	ADJ
ejpam-4087	39	10	equations	equation	NOUN
ejpam-4087	39	11	of	of	ADP
ejpam-4087	39	12	fractional	fractional	ADJ
ejpam-4087	39	13	order	order	NOUN
ejpam-4087	39	14	by	by	ADP
ejpam-4087	39	15	bernoulli	bernoulli	PROPN
ejpam-4087	39	16	wavelet	wavelet	NOUN
ejpam-4087	39	17	method	method	NOUN
ejpam-4087	39	18	.	.	PUNCT
ejpam-4087	40	1	das	das	PROPN
ejpam-4087	40	2	and	and	CCONJ
ejpam-4087	40	3	talukdar	talukdar	VERB
ejpam-4087	40	4	[	[	X
ejpam-4087	40	5	21	21	NUM
ejpam-4087	40	6	]	]	X
ejpam-4087	40	7	solved	solve	VERB
ejpam-4087	40	8	fuzzy	fuzzy	ADJ
ejpam-4087	40	9	integro	integro	ADJ
ejpam-4087	40	10	-	-	PUNCT
ejpam-4087	40	11	differential	differential	NOUN
ejpam-4087	40	12	equation	equation	NOUN
ejpam-4087	40	13	by	by	ADP
ejpam-4087	40	14	using	use	VERB
ejpam-4087	40	15	fuzzy	fuzzy	ADJ
ejpam-4087	40	16	laplace	laplace	NOUN
ejpam-4087	40	17	transformation	transformation	NOUN
ejpam-4087	40	18	.	.	PUNCT
ejpam-4087	41	1	mikaeilvand	mikaeilvand	PROPN
ejpam-4087	41	2	et	et	PROPN
ejpam-4087	41	3	al	al	PROPN
ejpam-4087	42	1	[	[	X
ejpam-4087	42	2	22	22	NUM
ejpam-4087	42	3	]	]	PUNCT
ejpam-4087	42	4	applied	apply	VERB
ejpam-4087	42	5	the	the	DET
ejpam-4087	42	6	differential	differential	ADJ
ejpam-4087	42	7	transform	transform	NOUN
ejpam-4087	42	8	method	method	NOUN
ejpam-4087	42	9	(	(	PUNCT
ejpam-4087	42	10	dtm	dtm	PROPN
ejpam-4087	42	11	)	)	PUNCT
ejpam-4087	42	12	to	to	PART
ejpam-4087	42	13	solve	solve	VERB
ejpam-4087	42	14	fuzzy	fuzzy	ADJ
ejpam-4087	42	15	integro	integro	ADJ
ejpam-4087	42	16	-	-	PUNCT
ejpam-4087	42	17	differential	differential	NOUN
ejpam-4087	42	18	equation	equation	NOUN
ejpam-4087	42	19	.	.	PUNCT
ejpam-4087	43	1	the	the	DET
ejpam-4087	43	2	main	main	ADJ
ejpam-4087	43	3	objective	objective	NOUN
ejpam-4087	43	4	of	of	ADP
ejpam-4087	43	5	this	this	DET
ejpam-4087	43	6	article	article	NOUN
ejpam-4087	43	7	is	be	AUX
ejpam-4087	43	8	to	to	PART
ejpam-4087	43	9	use	use	VERB
ejpam-4087	43	10	the	the	DET
ejpam-4087	43	11	standard	standard	ADJ
ejpam-4087	43	12	adomian	adomian	NOUN
ejpam-4087	43	13	decomposition	decomposition	NOUN
ejpam-4087	43	14	method	method	NOUN
ejpam-4087	43	15	(	(	PUNCT
ejpam-4087	43	16	adm	adm	PROPN
ejpam-4087	43	17	)	)	PUNCT
ejpam-4087	43	18	and	and	CCONJ
ejpam-4087	43	19	modified	modify	VERB
ejpam-4087	43	20	technique	technique	NOUN
ejpam-4087	43	21	(	(	PUNCT
ejpam-4087	43	22	mt	mt	PROPN
ejpam-4087	43	23	)	)	PUNCT
ejpam-4087	43	24	to	to	PART
ejpam-4087	43	25	solve	solve	VERB
ejpam-4087	43	26	the	the	DET
ejpam-4087	43	27	fuzzy	fuzzy	ADJ
ejpam-4087	43	28	systems	system	NOUN
ejpam-4087	43	29	of	of	ADP
ejpam-4087	43	30	linear	linear	PROPN
ejpam-4087	43	31	and	and	CCONJ
ejpam-4087	43	32	non	non	ADJ
ejpam-4087	43	33	-	-	ADJ
ejpam-4087	43	34	linear	linear	ADJ
ejpam-4087	43	35	four	four	NUM
ejpam-4087	43	36	volterra	volterra	NOUN
ejpam-4087	43	37	integro	integro	PROPN
ejpam-4087	43	38	-	-	PUNCT
ejpam-4087	43	39	differential	differential	NOUN
ejpam-4087	43	40	equations	equation	NOUN
ejpam-4087	43	41	(	(	PUNCT
ejpam-4087	43	42	vides	vide	NOUN
ejpam-4087	43	43	)	)	PUNCT
ejpam-4087	43	44	with	with	ADP
ejpam-4087	43	45	a	a	DET
ejpam-4087	43	46	comparison	comparison	NOUN
ejpam-4087	43	47	between	between	ADP
ejpam-4087	43	48	the	the	DET
ejpam-4087	43	49	both	both	DET
ejpam-4087	43	50	techniques	technique	NOUN
ejpam-4087	43	51	and	and	CCONJ
ejpam-4087	43	52	improved	improve	VERB
ejpam-4087	43	53	the	the	DET
ejpam-4087	43	54	approximate	approximate	ADJ
ejpam-4087	43	55	solutions	solution	NOUN
ejpam-4087	43	56	obtained	obtain	VERB
ejpam-4087	43	57	for	for	ADP
ejpam-4087	43	58	the	the	DET
ejpam-4087	43	59	system	system	NOUN
ejpam-4087	43	60	of	of	ADP
ejpam-4087	43	61	non	non	ADJ
ejpam-4087	43	62	-	-	ADJ
ejpam-4087	43	63	linear	linear	ADJ
ejpam-4087	43	64	four	four	NUM
ejpam-4087	43	65	vides	vide	NOUN
ejpam-4087	43	66	by	by	ADP
ejpam-4087	43	67	using	use	VERB
ejpam-4087	43	68	the	the	DET
ejpam-4087	43	69	iteration	iteration	NOUN
ejpam-4087	43	70	of	of	ADP
ejpam-4087	43	71	the	the	DET
ejpam-4087	43	72	integral	integral	ADJ
ejpam-4087	43	73	equation	equation	NOUN
ejpam-4087	43	74	and	and	CCONJ
ejpam-4087	43	75	the	the	DET
ejpam-4087	43	76	numerical	numerical	ADJ
ejpam-4087	43	77	solution	solution	NOUN
ejpam-4087	43	78	with	with	ADP
ejpam-4087	43	79	the	the	DET
ejpam-4087	43	80	simpson	simpson	PROPN
ejpam-4087	43	81	rule	rule	PROPN
ejpam-4087	43	82	and	and	CCONJ
ejpam-4087	43	83	trapezoidal	trapezoidal	ADJ
ejpam-4087	43	84	rule	rule	NOUN
ejpam-4087	43	85	.	.	PUNCT
ejpam-4087	44	1	2	2	X
ejpam-4087	44	2	.	.	X
ejpam-4087	44	3	basic	basic	ADJ
ejpam-4087	44	4	concepts	concept	NOUN
ejpam-4087	44	5	fuzzy	fuzzy	ADJ
ejpam-4087	44	6	numbers	number	NOUN
ejpam-4087	44	7	are	be	AUX
ejpam-4087	44	8	generalized	generalize	VERB
ejpam-4087	44	9	classical	classical	ADJ
ejpam-4087	44	10	real	real	ADJ
ejpam-4087	44	11	numbers	number	NOUN
ejpam-4087	44	12	,	,	PUNCT
ejpam-4087	44	13	and	and	CCONJ
ejpam-4087	44	14	we	we	PRON
ejpam-4087	44	15	can	can	AUX
ejpam-4087	44	16	define	define	VERB
ejpam-4087	44	17	them	they	PRON
ejpam-4087	44	18	as	as	ADP
ejpam-4087	44	19	a	a	DET
ejpam-4087	44	20	fuzzy	fuzzy	ADJ
ejpam-4087	44	21	subset	subset	NOUN
ejpam-4087	44	22	of	of	ADP
ejpam-4087	44	23	the	the	DET
ejpam-4087	44	24	real	real	ADJ
ejpam-4087	44	25	line	line	NOUN
ejpam-4087	44	26	with	with	ADP
ejpam-4087	44	27	some	some	DET
ejpam-4087	44	28	additional	additional	ADJ
ejpam-4087	44	29	features	feature	NOUN
ejpam-4087	44	30	.	.	PUNCT
ejpam-4087	45	1	the	the	DET
ejpam-4087	45	2	concept	concept	NOUN
ejpam-4087	45	3	of	of	ADP
ejpam-4087	45	4	a	a	DET
ejpam-4087	45	5	fuzzy	fuzzy	ADJ
ejpam-4087	45	6	number	number	NOUN
ejpam-4087	45	7	is	be	AUX
ejpam-4087	45	8	essential	essential	ADJ
ejpam-4087	45	9	for	for	ADP
ejpam-4087	45	10	fuzzy	fuzzy	ADJ
ejpam-4087	45	11	analysis	analysis	NOUN
ejpam-4087	45	12	,	,	PUNCT
ejpam-4087	45	13	fuzzy	fuzzy	ADJ
ejpam-4087	45	14	integral	integral	ADJ
ejpam-4087	45	15	equations	equation	NOUN
ejpam-4087	45	16	,	,	PUNCT
ejpam-4087	45	17	as	as	ADV
ejpam-4087	45	18	well	well	ADV
ejpam-4087	45	19	as	as	ADP
ejpam-4087	45	20	a	a	DET
ejpam-4087	45	21	useful	useful	ADJ
ejpam-4087	45	22	tool	tool	NOUN
ejpam-4087	45	23	in	in	ADP
ejpam-4087	45	24	a	a	DET
ejpam-4087	45	25	variety	variety	NOUN
ejpam-4087	45	26	m.	m.	NOUN
ejpam-4087	45	27	t.	t.	PROPN
ejpam-4087	45	28	younis	younis	PROPN
ejpam-4087	45	29	,	,	PUNCT
ejpam-4087	45	30	w.	w.	PROPN
ejpam-4087	45	31	al	al	PROPN
ejpam-4087	45	32	-	-	PUNCT
ejpam-4087	45	33	hayani	hayani	PROPN
ejpam-4087	45	34	/	/	SYM
ejpam-4087	45	35	eur	eur	PROPN
ejpam-4087	45	36	.	.	PUNCT
ejpam-4087	46	1	j.	j.	PROPN
ejpam-4087	46	2	pure	pure	PROPN
ejpam-4087	46	3	appl	appl	PROPN
ejpam-4087	46	4	.	.	PROPN
ejpam-4087	46	5	math	math	PROPN
ejpam-4087	46	6	,	,	PUNCT
ejpam-4087	46	7	15	15	NUM
ejpam-4087	46	8	(	(	PUNCT
ejpam-4087	46	9	1	1	NUM
ejpam-4087	46	10	)	)	PUNCT
ejpam-4087	46	11	(	(	PUNCT
ejpam-4087	46	12	2022	2022	NUM
ejpam-4087	46	13	)	)	PUNCT
ejpam-4087	46	14	,	,	PUNCT
ejpam-4087	46	15	290	290	NUM
ejpam-4087	46	16	-	-	SYM
ejpam-4087	46	17	313	313	NUM
ejpam-4087	46	18	292	292	NUM
ejpam-4087	46	19	of	of	ADP
ejpam-4087	46	20	fuzzy	fuzzy	ADJ
ejpam-4087	46	21	set	set	NOUN
ejpam-4087	46	22	applications	application	NOUN
ejpam-4087	46	23	.	.	PUNCT
ejpam-4087	47	1	the	the	DET
ejpam-4087	47	2	basic	basic	ADJ
ejpam-4087	47	3	definitions	definition	NOUN
ejpam-4087	47	4	of	of	ADP
ejpam-4087	47	5	fuzzy	fuzzy	ADJ
ejpam-4087	47	6	numbers	number	NOUN
ejpam-4087	47	7	are	be	AUX
ejpam-4087	47	8	the	the	DET
ejpam-4087	47	9	following	follow	VERB
ejpam-4087	47	10	:	:	PUNCT
ejpam-4087	47	11	definition	definition	NOUN
ejpam-4087	47	12	1	1	NUM
ejpam-4087	47	13	.	.	PUNCT
ejpam-4087	48	1	(	(	PUNCT
ejpam-4087	48	2	fuzzy	fuzzy	ADJ
ejpam-4087	48	3	set	set	NOUN
ejpam-4087	48	4	)	)	PUNCT
ejpam-4087	49	1	[	[	X
ejpam-4087	49	2	23	23	NUM
ejpam-4087	49	3	]	]	X
ejpam-4087	49	4	:	:	PUNCT
ejpam-4087	49	5	a	a	DET
ejpam-4087	49	6	set	set	NOUN
ejpam-4087	49	7	ã	ã	PROPN
ejpam-4087	49	8	=	=	PRON
ejpam-4087	49	9	{	{	PUNCT
ejpam-4087	49	10	(	(	PUNCT
ejpam-4087	49	11	t	t	PROPN
ejpam-4087	49	12	,	,	PUNCT
ejpam-4087	49	13	mã(t	mã(t	NOUN
ejpam-4087	49	14	)	)	PUNCT
ejpam-4087	49	15	)	)	PUNCT
ejpam-4087	49	16	,	,	PUNCT
ejpam-4087	49	17	t	t	PROPN
ejpam-4087	49	18	∈	∈	PROPN
ejpam-4087	49	19	x	x	PUNCT
ejpam-4087	49	20	}	}	PUNCT
ejpam-4087	49	21	is	be	AUX
ejpam-4087	49	22	called	call	VERB
ejpam-4087	49	23	a	a	DET
ejpam-4087	49	24	fuzzy	fuzzy	ADJ
ejpam-4087	49	25	set	set	NOUN
ejpam-4087	49	26	where	where	SCONJ
ejpam-4087	49	27	mã(t	mã(t	NOUN
ejpam-4087	49	28	)	)	PUNCT
ejpam-4087	49	29	is	be	AUX
ejpam-4087	49	30	the	the	DET
ejpam-4087	49	31	membership	membership	NOUN
ejpam-4087	49	32	function	function	NOUN
ejpam-4087	49	33	of	of	ADP
ejpam-4087	49	34	fuzzy	fuzzy	ADJ
ejpam-4087	49	35	set	set	NOUN
ejpam-4087	49	36	a	a	PRON
ejpam-4087	49	37	is	be	AUX
ejpam-4087	49	38	defined	define	VERB
ejpam-4087	49	39	by	by	ADP
ejpam-4087	49	40	mã(t	mã(t	NOUN
ejpam-4087	49	41	)	)	PUNCT
ejpam-4087	49	42	:	:	PUNCT
ejpam-4087	50	1	x	x	X
ejpam-4087	50	2	→	→	PUNCT
ejpam-4087	51	1	[	[	X
ejpam-4087	51	2	0	0	NUM
ejpam-4087	51	3	,	,	PUNCT
ejpam-4087	51	4	1	1	NUM
ejpam-4087	51	5	]	]	PUNCT
ejpam-4087	51	6	,	,	PUNCT
ejpam-4087	51	7	and	and	CCONJ
ejpam-4087	51	8	the	the	DET
ejpam-4087	51	9	value	value	NOUN
ejpam-4087	51	10	of	of	ADP
ejpam-4087	51	11	mã(t	mã(t	NOUN
ejpam-4087	51	12	)	)	PUNCT
ejpam-4087	51	13	is	be	AUX
ejpam-4087	51	14	called	call	VERB
ejpam-4087	51	15	the	the	DET
ejpam-4087	51	16	membership	membership	NOUN
ejpam-4087	51	17	degree	degree	NOUN
ejpam-4087	51	18	x.	x.	NOUN
ejpam-4087	51	19	definition	definition	NOUN
ejpam-4087	51	20	2	2	NUM
ejpam-4087	51	21	.	.	PUNCT
ejpam-4087	52	1	(	(	PUNCT
ejpam-4087	52	2	fuzzy	fuzzy	ADJ
ejpam-4087	52	3	number	number	NOUN
ejpam-4087	52	4	)	)	PUNCT
ejpam-4087	53	1	[	[	X
ejpam-4087	53	2	24	24	NUM
ejpam-4087	53	3	,	,	PUNCT
ejpam-4087	53	4	25	25	NUM
ejpam-4087	53	5	]	]	PUNCT
ejpam-4087	53	6	:	:	PUNCT
ejpam-4087	53	7	a	a	DET
ejpam-4087	53	8	fuzzy	fuzzy	ADJ
ejpam-4087	53	9	number	number	NOUN
ejpam-4087	53	10	is	be	AUX
ejpam-4087	53	11	a	a	DET
ejpam-4087	53	12	map	map	NOUN
ejpam-4087	53	13	ũ	ũ	PROPN
ejpam-4087	53	14	:	:	PUNCT
ejpam-4087	53	15	r	r	NOUN
ejpam-4087	53	16	→	→	PUNCT
ejpam-4087	53	17	[	[	X
ejpam-4087	53	18	a	a	DET
ejpam-4087	53	19	,	,	PUNCT
ejpam-4087	53	20	b	b	NOUN
ejpam-4087	53	21	]	]	X
ejpam-4087	53	22	,	,	PUNCT
ejpam-4087	53	23	which	which	PRON
ejpam-4087	53	24	satisfying	satisfy	VERB
ejpam-4087	53	25	(	(	PUNCT
ejpam-4087	53	26	i	i	NOUN
ejpam-4087	53	27	)	)	PUNCT
ejpam-4087	54	1	ũ	ũ	PROPN
ejpam-4087	54	2	is	be	AUX
ejpam-4087	54	3	upper	upper	ADJ
ejpam-4087	54	4	semi	semi	ADJ
ejpam-4087	54	5	-	-	ADJ
ejpam-4087	54	6	continuous	continuous	ADJ
ejpam-4087	54	7	function	function	NOUN
ejpam-4087	54	8	.	.	PUNCT
ejpam-4087	55	1	(	(	PUNCT
ejpam-4087	55	2	ii	ii	X
ejpam-4087	55	3	)	)	PUNCT
ejpam-4087	55	4	ũ	ũ	PROPN
ejpam-4087	55	5	(	(	PUNCT
ejpam-4087	55	6	t	t	PROPN
ejpam-4087	55	7	)	)	PUNCT
ejpam-4087	55	8	=	=	SYM
ejpam-4087	55	9	0	0	NUM
ejpam-4087	55	10	outside	outside	ADP
ejpam-4087	55	11	some	some	DET
ejpam-4087	55	12	interval	interval	NOUN
ejpam-4087	56	1	[	[	X
ejpam-4087	56	2	a	a	X
ejpam-4087	56	3	,	,	PUNCT
ejpam-4087	56	4	d	d	X
ejpam-4087	56	5	]	]	PUNCT
ejpam-4087	56	6	.	.	PUNCT
ejpam-4087	57	1	(	(	PUNCT
ejpam-4087	57	2	iii	iii	X
ejpam-4087	57	3	)	)	PUNCT
ejpam-4087	57	4	there	there	PRON
ejpam-4087	57	5	are	be	VERB
ejpam-4087	57	6	real	real	ADJ
ejpam-4087	57	7	numbers	number	NOUN
ejpam-4087	57	8	b	b	NOUN
ejpam-4087	57	9	,	,	PUNCT
ejpam-4087	57	10	c	c	X
ejpam-4087	57	11	such	such	DET
ejpam-4087	57	12	a	a	DET
ejpam-4087	57	13	≤	≤	NUM
ejpam-4087	57	14	b	b	NOUN
ejpam-4087	57	15	≤	≤	NUM
ejpam-4087	57	16	c	c	NOUN
ejpam-4087	57	17	≤	≤	NUM
ejpam-4087	58	1	d	d	PROPN
ejpam-4087	58	2	i	i	PROPN
ejpam-4087	58	3	)	)	PUNCT
ejpam-4087	58	4	ũ	ũ	PROPN
ejpam-4087	58	5	(	(	PUNCT
ejpam-4087	58	6	t	t	PROPN
ejpam-4087	58	7	)	)	PUNCT
ejpam-4087	58	8	is	be	AUX
ejpam-4087	58	9	a	a	DET
ejpam-4087	58	10	monotonic	monotonic	ADJ
ejpam-4087	58	11	increasing	increase	VERB
ejpam-4087	58	12	function	function	NOUN
ejpam-4087	58	13	on	on	ADP
ejpam-4087	58	14	[	[	X
ejpam-4087	58	15	a	a	X
ejpam-4087	58	16	,	,	PUNCT
ejpam-4087	58	17	b	b	NOUN
ejpam-4087	58	18	]	]	PUNCT
ejpam-4087	58	19	.	.	PUNCT
ejpam-4087	59	1	ii	ii	X
ejpam-4087	59	2	)	)	PUNCT
ejpam-4087	59	3	ũ	ũ	PROPN
ejpam-4087	59	4	(	(	PUNCT
ejpam-4087	59	5	t	t	PROPN
ejpam-4087	59	6	)	)	PUNCT
ejpam-4087	59	7	is	be	AUX
ejpam-4087	59	8	a	a	DET
ejpam-4087	59	9	monotonic	monotonic	ADJ
ejpam-4087	59	10	decreasing	decrease	VERB
ejpam-4087	59	11	function	function	NOUN
ejpam-4087	59	12	on	on	ADP
ejpam-4087	59	13	[	[	X
ejpam-4087	59	14	c	c	X
ejpam-4087	59	15	,	,	PUNCT
ejpam-4087	59	16	d	d	X
ejpam-4087	59	17	]	]	PUNCT
ejpam-4087	59	18	.	.	PUNCT
ejpam-4087	60	1	iii	iii	X
ejpam-4087	60	2	)	)	PUNCT
ejpam-4087	60	3	ũ	ũ	PROPN
ejpam-4087	60	4	(	(	PUNCT
ejpam-4087	60	5	t	t	PROPN
ejpam-4087	60	6	)	)	PUNCT
ejpam-4087	60	7	=	=	SYM
ejpam-4087	60	8	1	1	NUM
ejpam-4087	60	9	for	for	ADP
ejpam-4087	60	10	all	all	DET
ejpam-4087	60	11	t	t	NOUN
ejpam-4087	60	12	∈	∈	PROPN
ejpam-4087	61	1	[	[	X
ejpam-4087	61	2	b	b	X
ejpam-4087	61	3	,	,	PUNCT
ejpam-4087	61	4	c	c	NOUN
ejpam-4087	61	5	]	]	PUNCT
ejpam-4087	61	6	.	.	PUNCT
ejpam-4087	62	1	definition	definition	NOUN
ejpam-4087	62	2	3	3	NUM
ejpam-4087	62	3	.	.	PUNCT
ejpam-4087	63	1	[	[	X
ejpam-4087	63	2	25–27	25–27	NUM
ejpam-4087	63	3	]	]	X
ejpam-4087	63	4	:	:	PUNCT
ejpam-4087	63	5	a	a	DET
ejpam-4087	63	6	fuzzy	fuzzy	ADJ
ejpam-4087	63	7	number	number	NOUN
ejpam-4087	63	8	ũ	ũ	PROPN
ejpam-4087	63	9	in	in	ADP
ejpam-4087	63	10	a	a	DET
ejpam-4087	63	11	parametric	parametric	ADJ
ejpam-4087	63	12	form	form	NOUN
ejpam-4087	63	13	is	be	AUX
ejpam-4087	63	14	a	a	DET
ejpam-4087	63	15	pair	pair	NOUN
ejpam-4087	63	16	(	(	PUNCT
ejpam-4087	63	17	u	u	NOUN
ejpam-4087	63	18	,	,	PUNCT
ejpam-4087	63	19	ū	ū	NOUN
ejpam-4087	63	20	)	)	PUNCT
ejpam-4087	63	21	of	of	ADP
ejpam-4087	63	22	a	a	DET
ejpam-4087	63	23	function	function	NOUN
ejpam-4087	63	24	u	u	NOUN
ejpam-4087	63	25	(	(	PUNCT
ejpam-4087	63	26	r	r	NOUN
ejpam-4087	63	27	)	)	PUNCT
ejpam-4087	63	28	,	,	PUNCT
ejpam-4087	63	29	ū	ū	NOUN
ejpam-4087	63	30	(	(	PUNCT
ejpam-4087	63	31	r	r	NOUN
ejpam-4087	63	32	)	)	PUNCT
ejpam-4087	63	33	,	,	PUNCT
ejpam-4087	63	34	0	0	NUM
ejpam-4087	63	35	≤	≤	NUM
ejpam-4087	63	36	r	r	NOUN
ejpam-4087	63	37	≤	≤	NUM
ejpam-4087	63	38	1	1	NUM
ejpam-4087	63	39	;	;	PUNCT
ejpam-4087	63	40	which	which	PRON
ejpam-4087	63	41	satisfy	satisfy	VERB
ejpam-4087	63	42	the	the	DET
ejpam-4087	63	43	requirements	requirement	NOUN
ejpam-4087	63	44	(	(	PUNCT
ejpam-4087	63	45	i	i	NOUN
ejpam-4087	63	46	)	)	PUNCT
ejpam-4087	63	47	u	u	NOUN
ejpam-4087	63	48	(	(	PUNCT
ejpam-4087	63	49	r	r	NOUN
ejpam-4087	63	50	)	)	PUNCT
ejpam-4087	63	51	is	be	AUX
ejpam-4087	63	52	a	a	DET
ejpam-4087	63	53	left	left	ADJ
ejpam-4087	63	54	continuous	continuous	ADJ
ejpam-4087	63	55	function	function	NOUN
ejpam-4087	63	56	and	and	CCONJ
ejpam-4087	63	57	bounded	bound	VERB
ejpam-4087	63	58	monotonic	monotonic	ADJ
ejpam-4087	63	59	increasing	increasing	NOUN
ejpam-4087	63	60	.	.	PUNCT
ejpam-4087	64	1	(	(	PUNCT
ejpam-4087	64	2	ii	ii	NOUN
ejpam-4087	64	3	)	)	PUNCT
ejpam-4087	64	4	ū	ū	NOUN
ejpam-4087	64	5	(	(	PUNCT
ejpam-4087	64	6	r	r	NOUN
ejpam-4087	64	7	)	)	PUNCT
ejpam-4087	64	8	is	be	AUX
ejpam-4087	64	9	a	a	DET
ejpam-4087	64	10	left	left	ADJ
ejpam-4087	64	11	continuous	continuous	ADJ
ejpam-4087	64	12	function	function	NOUN
ejpam-4087	64	13	and	and	CCONJ
ejpam-4087	64	14	bounded	bound	VERB
ejpam-4087	64	15	monotonic	monotonic	ADJ
ejpam-4087	64	16	decreasing	decreasing	NOUN
ejpam-4087	64	17	.	.	PUNCT
ejpam-4087	65	1	(	(	PUNCT
ejpam-4087	65	2	iii	iii	X
ejpam-4087	65	3	)	)	PUNCT
ejpam-4087	65	4	u	u	NOUN
ejpam-4087	65	5	(	(	PUNCT
ejpam-4087	65	6	r	r	NOUN
ejpam-4087	65	7	)	)	PUNCT
ejpam-4087	65	8	≤	≤	NOUN
ejpam-4087	65	9	ū	ū	NOUN
ejpam-4087	65	10	(	(	PUNCT
ejpam-4087	65	11	r	r	NOUN
ejpam-4087	65	12	)	)	PUNCT
ejpam-4087	65	13	,	,	PUNCT
ejpam-4087	65	14	0	0	NUM
ejpam-4087	65	15	≤	≤	NUM
ejpam-4087	65	16	r	r	NOUN
ejpam-4087	65	17	≤	≤	NUM
ejpam-4087	65	18	1	1	NUM
ejpam-4087	65	19	the	the	DET
ejpam-4087	65	20	triangular	triangular	NOUN
ejpam-4087	65	21	fuzzy	fuzzy	ADJ
ejpam-4087	65	22	number	number	NOUN
ejpam-4087	65	23	[	[	X
ejpam-4087	65	24	2	2	NUM
ejpam-4087	65	25	,	,	PUNCT
ejpam-4087	65	26	20	20	NUM
ejpam-4087	65	27	,	,	PUNCT
ejpam-4087	65	28	28	28	NUM
ejpam-4087	65	29	]	]	PUNCT
ejpam-4087	65	30	,	,	PUNCT
ejpam-4087	65	31	which	which	PRON
ejpam-4087	65	32	is	be	AUX
ejpam-4087	65	33	defined	define	VERB
ejpam-4087	65	34	as	as	ADP
ejpam-4087	65	35	a	a	DET
ejpam-4087	65	36	fuzzy	fuzzy	ADJ
ejpam-4087	65	37	set	set	NOUN
ejpam-4087	65	38	in	in	ADP
ejpam-4087	65	39	r	r	NOUN
ejpam-4087	65	40	and	and	CCONJ
ejpam-4087	65	41	characterized	characterize	VERB
ejpam-4087	65	42	by	by	ADP
ejpam-4087	65	43	an	an	DET
ejpam-4087	65	44	ordered	order	VERB
ejpam-4087	65	45	triple	triple	ADJ
ejpam-4087	65	46	u	u	NOUN
ejpam-4087	65	47	=	=	PUNCT
ejpam-4087	65	48	(	(	PUNCT
ejpam-4087	65	49	a	a	PRON
ejpam-4087	65	50	,	,	PUNCT
ejpam-4087	65	51	b	b	NOUN
ejpam-4087	65	52	,	,	PUNCT
ejpam-4087	65	53	c	c	NOUN
ejpam-4087	65	54	)	)	PUNCT
ejpam-4087	65	55	∈	∈	PROPN
ejpam-4087	65	56	r3	r3	PROPN
ejpam-4087	65	57	with	with	ADP
ejpam-4087	65	58	a	a	DET
ejpam-4087	65	59	≤	≤	NUM
ejpam-4087	65	60	b	b	NOUN
ejpam-4087	65	61	≤	≤	NUM
ejpam-4087	65	62	c	c	X
ejpam-4087	65	63	such	such	ADJ
ejpam-4087	65	64	that	that	DET
ejpam-4087	65	65	u	u	NOUN
ejpam-4087	65	66	(	(	PUNCT
ejpam-4087	65	67	r	r	NOUN
ejpam-4087	65	68	)	)	PUNCT
ejpam-4087	65	69	=	=	SYM
ejpam-4087	65	70	a+	a+	PUNCT
ejpam-4087	65	71	(	(	PUNCT
ejpam-4087	65	72	b−	b−	NOUN
ejpam-4087	65	73	a	a	PRON
ejpam-4087	65	74	)	)	PUNCT
ejpam-4087	65	75	r	r	NOUN
ejpam-4087	65	76	and	and	CCONJ
ejpam-4087	65	77	ū	ū	NOUN
ejpam-4087	65	78	(	(	PUNCT
ejpam-4087	65	79	r	r	NOUN
ejpam-4087	65	80	)	)	PUNCT
ejpam-4087	65	81	=	=	SYM
ejpam-4087	65	82	c−	c−	NOUN
ejpam-4087	65	83	(	(	PUNCT
ejpam-4087	65	84	c−	c−	PROPN
ejpam-4087	65	85	b	b	NOUN
ejpam-4087	65	86	)	)	PUNCT
ejpam-4087	65	87	r	r	NOUN
ejpam-4087	65	88	,	,	PUNCT
ejpam-4087	65	89	are	be	AUX
ejpam-4087	65	90	the	the	DET
ejpam-4087	65	91	endpoints	endpoint	NOUN
ejpam-4087	65	92	of	of	ADP
ejpam-4087	65	93	r−level	r−level	NOUN
ejpam-4087	65	94	sets	set	NOUN
ejpam-4087	65	95	for	for	ADP
ejpam-4087	65	96	all	all	DET
ejpam-4087	65	97	r	r	NOUN
ejpam-4087	65	98	∈	∈	PROPN
ejpam-4087	66	1	[	[	X
ejpam-4087	66	2	0	0	NUM
ejpam-4087	66	3	,	,	PUNCT
ejpam-4087	66	4	1	1	NUM
ejpam-4087	66	5	]	]	PUNCT
ejpam-4087	66	6	is	be	AUX
ejpam-4087	66	7	a	a	DET
ejpam-4087	66	8	popular	popular	ADJ
ejpam-4087	66	9	fuzzy	fuzzy	ADJ
ejpam-4087	66	10	number	number	NOUN
ejpam-4087	66	11	:	:	PUNCT
ejpam-4087	66	12	we	we	PRON
ejpam-4087	66	13	can	can	AUX
ejpam-4087	66	14	represent	represent	VERB
ejpam-4087	66	15	a	a	DET
ejpam-4087	66	16	crisp	crisp	ADJ
ejpam-4087	66	17	number	number	NOUN
ejpam-4087	66	18	x	x	PUNCT
ejpam-4087	66	19	by	by	ADP
ejpam-4087	66	20	(	(	PUNCT
ejpam-4087	66	21	u	u	NOUN
ejpam-4087	66	22	(	(	PUNCT
ejpam-4087	66	23	r	r	NOUN
ejpam-4087	66	24	)	)	PUNCT
ejpam-4087	66	25	,	,	PUNCT
ejpam-4087	66	26	ū	ū	NOUN
ejpam-4087	66	27	(	(	PUNCT
ejpam-4087	66	28	r	r	NOUN
ejpam-4087	66	29	)	)	PUNCT
ejpam-4087	66	30	)	)	PUNCT
ejpam-4087	67	1	=	=	SYM
ejpam-4087	67	2	(	(	PUNCT
ejpam-4087	67	3	x	x	X
ejpam-4087	67	4	,	,	PUNCT
ejpam-4087	67	5	x	x	X
ejpam-4087	67	6	)	)	PUNCT
ejpam-4087	67	7	,	,	PUNCT
ejpam-4087	68	1	0	0	NUM
ejpam-4087	68	2	≤	≤	NUM
ejpam-4087	68	3	r	r	NOUN
ejpam-4087	68	4	≤	≤	NUM
ejpam-4087	68	5	1	1	NUM
ejpam-4087	68	6	.	.	PUNCT
ejpam-4087	68	7	by	by	ADP
ejpam-4087	68	8	appropriate	appropriate	ADJ
ejpam-4087	68	9	definitions	definition	NOUN
ejpam-4087	68	10	,	,	PUNCT
ejpam-4087	68	11	the	the	DET
ejpam-4087	68	12	fuzzy	fuzzy	ADJ
ejpam-4087	68	13	number	number	NOUN
ejpam-4087	68	14	space	space	NOUN
ejpam-4087	68	15	{	{	PUNCT
ejpam-4087	68	16	u	u	NOUN
ejpam-4087	68	17	(	(	PUNCT
ejpam-4087	68	18	r	r	NOUN
ejpam-4087	68	19	)	)	PUNCT
ejpam-4087	68	20	≤	≤	NOUN
ejpam-4087	68	21	ū	ū	NOUN
ejpam-4087	68	22	(	(	PUNCT
ejpam-4087	68	23	r	r	NOUN
ejpam-4087	68	24	)	)	PUNCT
ejpam-4087	68	25	}	}	PUNCT
ejpam-4087	68	26	becomes	become	VERB
ejpam-4087	68	27	a	a	DET
ejpam-4087	68	28	convex	convex	NOUN
ejpam-4087	68	29	cone	cone	NOUN
ejpam-4087	68	30	e1	e1	NOUN
ejpam-4087	68	31	which	which	PRON
ejpam-4087	68	32	could	could	AUX
ejpam-4087	68	33	be	be	AUX
ejpam-4087	68	34	isometrically	isometrically	NOUN
ejpam-4087	68	35	and	and	CCONJ
ejpam-4087	68	36	isomorphically	isomorphically	ADV
ejpam-4087	68	37	into	into	ADP
ejpam-4087	68	38	a	a	DET
ejpam-4087	68	39	banach	banach	NOUN
ejpam-4087	68	40	space	space	NOUN
ejpam-4087	68	41	[	[	X
ejpam-4087	68	42	29	29	NUM
ejpam-4087	68	43	]	]	PUNCT
ejpam-4087	68	44	.	.	PUNCT
ejpam-4087	69	1	let	let	VERB
ejpam-4087	69	2	x̃	x̃	PROPN
ejpam-4087	69	3	=	=	PUNCT
ejpam-4087	69	4	(	(	PUNCT
ejpam-4087	69	5	x	x	X
ejpam-4087	69	6	(	(	PUNCT
ejpam-4087	69	7	r	r	NOUN
ejpam-4087	69	8	)	)	PUNCT
ejpam-4087	69	9	,	,	PUNCT
ejpam-4087	69	10	x̄	x̄	NOUN
ejpam-4087	69	11	(	(	PUNCT
ejpam-4087	69	12	r	r	NOUN
ejpam-4087	69	13	)	)	PUNCT
ejpam-4087	69	14	)	)	PUNCT
ejpam-4087	69	15	,	,	PUNCT
ejpam-4087	69	16	ỹ	ỹ	PROPN
ejpam-4087	69	17	=	=	SYM
ejpam-4087	69	18	(	(	PUNCT
ejpam-4087	69	19	y	y	PROPN
ejpam-4087	69	20	(	(	PUNCT
ejpam-4087	69	21	r	r	NOUN
ejpam-4087	69	22	)	)	PUNCT
ejpam-4087	69	23	,	,	PUNCT
ejpam-4087	69	24	ȳ	ȳ	PROPN
ejpam-4087	69	25	(	(	PUNCT
ejpam-4087	69	26	r	r	NOUN
ejpam-4087	69	27	)	)	PUNCT
ejpam-4087	69	28	)	)	PUNCT
ejpam-4087	69	29	,	,	PUNCT
ejpam-4087	69	30	0	0	NUM
ejpam-4087	69	31	≤	≤	NUM
ejpam-4087	69	32	r	r	NOUN
ejpam-4087	69	33	≤	≤	NUM
ejpam-4087	69	34	1	1	NUM
ejpam-4087	69	35	,	,	PUNCT
ejpam-4087	69	36	and	and	CCONJ
ejpam-4087	69	37	k	k	PROPN
ejpam-4087	69	38	∈	∈	PROPN
ejpam-4087	69	39	r.	r.	PROPN
ejpam-4087	69	40	then	then	ADV
ejpam-4087	69	41	(	(	PUNCT
ejpam-4087	69	42	i	i	NOUN
ejpam-4087	69	43	)	)	PUNCT
ejpam-4087	69	44	x̃	x̃	PROPN
ejpam-4087	70	1	=	=	PUNCT
ejpam-4087	70	2	ỹ	ỹ	PROPN
ejpam-4087	70	3	iff	iff	NOUN
ejpam-4087	70	4	x	x	SYM
ejpam-4087	70	5	(	(	PUNCT
ejpam-4087	70	6	r	r	NOUN
ejpam-4087	70	7	)	)	PUNCT
ejpam-4087	70	8	=	=	SYM
ejpam-4087	71	1	y	y	PROPN
ejpam-4087	71	2	(	(	PUNCT
ejpam-4087	71	3	r	r	NOUN
ejpam-4087	71	4	)	)	PUNCT
ejpam-4087	71	5	,	,	PUNCT
ejpam-4087	71	6	x̄	x̄	NOUN
ejpam-4087	71	7	(	(	PUNCT
ejpam-4087	71	8	r	r	NOUN
ejpam-4087	71	9	)	)	PUNCT
ejpam-4087	71	10	=	=	SYM
ejpam-4087	71	11	ȳ	ȳ	NOUN
ejpam-4087	71	12	(	(	PUNCT
ejpam-4087	71	13	r	r	NOUN
ejpam-4087	71	14	)	)	PUNCT
ejpam-4087	71	15	.	.	PUNCT
ejpam-4087	72	1	(	(	PUNCT
ejpam-4087	72	2	ii	ii	NOUN
ejpam-4087	72	3	)	)	PUNCT
ejpam-4087	72	4	x̃+	x̃+	PROPN
ejpam-4087	73	1	ỹ	ỹ	PROPN
ejpam-4087	73	2	=	=	SYM
ejpam-4087	73	3	(	(	PUNCT
ejpam-4087	73	4	x	x	X
ejpam-4087	73	5	(	(	PUNCT
ejpam-4087	73	6	r	r	NOUN
ejpam-4087	73	7	)	)	PUNCT
ejpam-4087	74	1	+	+	NOUN
ejpam-4087	74	2	y	y	PROPN
ejpam-4087	74	3	(	(	PUNCT
ejpam-4087	74	4	r	r	NOUN
ejpam-4087	74	5	)	)	PUNCT
ejpam-4087	74	6	,	,	PUNCT
ejpam-4087	74	7	x̄	x̄	NOUN
ejpam-4087	74	8	(	(	PUNCT
ejpam-4087	74	9	r	r	NOUN
ejpam-4087	74	10	)	)	PUNCT
ejpam-4087	75	1	+	+	NOUN
ejpam-4087	75	2	ȳ	ȳ	NUM
ejpam-4087	75	3	(	(	PUNCT
ejpam-4087	75	4	r	r	NOUN
ejpam-4087	75	5	)	)	PUNCT
ejpam-4087	75	6	)	)	PUNCT
ejpam-4087	75	7	.	.	PUNCT
ejpam-4087	76	1	(	(	PUNCT
ejpam-4087	76	2	iii	iii	X
ejpam-4087	76	3	)	)	PUNCT
ejpam-4087	76	4	x̃−	x̃−	PROPN
ejpam-4087	77	1	ỹ	ỹ	PROPN
ejpam-4087	77	2	=	=	SYM
ejpam-4087	77	3	(	(	PUNCT
ejpam-4087	77	4	x	x	X
ejpam-4087	77	5	(	(	PUNCT
ejpam-4087	77	6	r)−	r)−	PROPN
ejpam-4087	77	7	ȳ	ȳ	PROPN
ejpam-4087	77	8	(	(	PUNCT
ejpam-4087	77	9	r	r	NOUN
ejpam-4087	77	10	)	)	PUNCT
ejpam-4087	77	11	,	,	PUNCT
ejpam-4087	77	12	x̄	x̄	NOUN
ejpam-4087	78	1	(	(	PUNCT
ejpam-4087	78	2	r)−	r)−	PROPN
ejpam-4087	78	3	y	y	PROPN
ejpam-4087	78	4	(	(	PUNCT
ejpam-4087	78	5	r	r	NOUN
ejpam-4087	78	6	)	)	PUNCT
ejpam-4087	78	7	)	)	PUNCT
ejpam-4087	78	8	.	.	PUNCT
ejpam-4087	79	1	(	(	PUNCT
ejpam-4087	79	2	iv	iv	X
ejpam-4087	79	3	)	)	PUNCT
ejpam-4087	79	4	kx̃	kx̃	X
ejpam-4087	80	1	=	=	PRON
ejpam-4087	80	2	{	{	PUNCT
ejpam-4087	80	3	(	(	PUNCT
ejpam-4087	80	4	kx	kx	PROPN
ejpam-4087	80	5	,	,	PUNCT
ejpam-4087	80	6	kx̄	kx̄	PROPN
ejpam-4087	80	7	)	)	PUNCT
ejpam-4087	80	8	,	,	PUNCT
ejpam-4087	80	9	k	k	X
ejpam-4087	80	10	≥	≥	X
ejpam-4087	80	11	0	0	NUM
ejpam-4087	80	12	(	(	PUNCT
ejpam-4087	80	13	kx̄	kx̄	PROPN
ejpam-4087	80	14	,	,	PUNCT
ejpam-4087	80	15	kx	kx	PROPN
ejpam-4087	80	16	)	)	PUNCT
ejpam-4087	80	17	,	,	PUNCT
ejpam-4087	81	1	k	k	X
ejpam-4087	81	2	<	<	X
ejpam-4087	81	3	0	0	NUM
ejpam-4087	81	4	m.	m.	NOUN
ejpam-4087	81	5	t.	t.	PROPN
ejpam-4087	81	6	younis	younis	PROPN
ejpam-4087	81	7	,	,	PUNCT
ejpam-4087	81	8	w.	w.	PROPN
ejpam-4087	81	9	al	al	PROPN
ejpam-4087	81	10	-	-	PUNCT
ejpam-4087	81	11	hayani	hayani	PROPN
ejpam-4087	81	12	/	/	SYM
ejpam-4087	81	13	eur	eur	PROPN
ejpam-4087	81	14	.	.	PUNCT
ejpam-4087	82	1	j.	j.	PROPN
ejpam-4087	82	2	pure	pure	PROPN
ejpam-4087	82	3	appl	appl	PROPN
ejpam-4087	82	4	.	.	PROPN
ejpam-4087	82	5	math	math	PROPN
ejpam-4087	82	6	,	,	PUNCT
ejpam-4087	82	7	15	15	NUM
ejpam-4087	82	8	(	(	PUNCT
ejpam-4087	82	9	1	1	NUM
ejpam-4087	82	10	)	)	PUNCT
ejpam-4087	82	11	(	(	PUNCT
ejpam-4087	82	12	2022	2022	NUM
ejpam-4087	82	13	)	)	PUNCT
ejpam-4087	82	14	,	,	PUNCT
ejpam-4087	82	15	290	290	NUM
ejpam-4087	82	16	-	-	SYM
ejpam-4087	82	17	313	313	NUM
ejpam-4087	82	18	293	293	NUM
ejpam-4087	82	19	definition	definition	NOUN
ejpam-4087	82	20	4	4	NUM
ejpam-4087	82	21	.	.	PUNCT
ejpam-4087	82	22	(	(	PUNCT
ejpam-4087	82	23	r−level	r−level	NUM
ejpam-4087	82	24	)	)	PUNCT
ejpam-4087	83	1	[	[	X
ejpam-4087	83	2	12	12	NUM
ejpam-4087	83	3	,	,	PUNCT
ejpam-4087	83	4	25	25	NUM
ejpam-4087	83	5	,	,	PUNCT
ejpam-4087	83	6	27	27	NUM
ejpam-4087	83	7	,	,	PUNCT
ejpam-4087	83	8	30	30	NUM
ejpam-4087	83	9	]	]	PUNCT
ejpam-4087	83	10	:	:	PUNCT
ejpam-4087	83	11	let	let	VERB
ejpam-4087	83	12	e	e	PRON
ejpam-4087	83	13	be	be	AUX
ejpam-4087	83	14	the	the	DET
ejpam-4087	83	15	set	set	NOUN
ejpam-4087	83	16	of	of	ADP
ejpam-4087	83	17	all	all	DET
ejpam-4087	83	18	fuzzy	fuzzy	ADJ
ejpam-4087	83	19	number	number	NOUN
ejpam-4087	83	20	on	on	ADP
ejpam-4087	83	21	r	r	NOUN
ejpam-4087	83	22	,	,	PUNCT
ejpam-4087	83	23	we	we	PRON
ejpam-4087	83	24	denoted	denote	VERB
ejpam-4087	83	25	[	[	PUNCT
ejpam-4087	83	26	u]r	u]r	NOUN
ejpam-4087	83	27	r−level	r−level	VERB
ejpam-4087	83	28	set	set	VERB
ejpam-4087	83	29	of	of	ADP
ejpam-4087	83	30	a	a	DET
ejpam-4087	83	31	fuzzy	fuzzy	ADJ
ejpam-4087	83	32	number	number	NOUN
ejpam-4087	83	33	u	u	NOUN
ejpam-4087	83	34	∈	∈	PROPN
ejpam-4087	83	35	e	e	NOUN
ejpam-4087	83	36	,	,	PUNCT
ejpam-4087	83	37	0	0	NUM
ejpam-4087	83	38	≤	≤	NUM
ejpam-4087	83	39	r	r	NOUN
ejpam-4087	83	40	≤	≤	NUM
ejpam-4087	83	41	1	1	NUM
ejpam-4087	83	42	,	,	PUNCT
ejpam-4087	83	43	it	it	PRON
ejpam-4087	83	44	is	be	AUX
ejpam-4087	83	45	a	a	DET
ejpam-4087	83	46	mapping	mapping	NOUN
ejpam-4087	83	47	between	between	ADP
ejpam-4087	83	48	close	close	ADJ
ejpam-4087	83	49	interval	interval	NOUN
ejpam-4087	83	50	[	[	X
ejpam-4087	83	51	0	0	NUM
ejpam-4087	83	52	,	,	PUNCT
ejpam-4087	83	53	1	1	NUM
ejpam-4087	83	54	]	]	PUNCT
ejpam-4087	83	55	to	to	ADP
ejpam-4087	83	56	power	power	NOUN
ejpam-4087	83	57	set	set	NOUN
ejpam-4087	83	58	of	of	ADP
ejpam-4087	83	59	r	r	NOUN
ejpam-4087	83	60	,	,	PUNCT
ejpam-4087	83	61	where	where	SCONJ
ejpam-4087	83	62	[	[	X
ejpam-4087	83	63	u]r	u]r	X
ejpam-4087	83	64	=	=	X
ejpam-4087	83	65	{	{	PUNCT
ejpam-4087	83	66	[	[	X
ejpam-4087	83	67	a	a	X
ejpam-4087	83	68	(	(	PUNCT
ejpam-4087	83	69	r	r	NOUN
ejpam-4087	83	70	)	)	PUNCT
ejpam-4087	83	71	,	,	PUNCT
ejpam-4087	83	72	b	b	X
ejpam-4087	83	73	(	(	PUNCT
ejpam-4087	83	74	r	r	NOUN
ejpam-4087	83	75	)	)	PUNCT
ejpam-4087	83	76	]	]	PUNCT
ejpam-4087	83	77	,	,	PUNCT
ejpam-4087	83	78	r	r	NOUN
ejpam-4087	83	79	∈	∈	PROPN
ejpam-4087	84	1	[	[	X
ejpam-4087	84	2	0	0	NUM
ejpam-4087	84	3	,	,	PUNCT
ejpam-4087	84	4	1	1	NUM
ejpam-4087	84	5	]	]	X
ejpam-4087	84	6	cl	cl	NOUN
ejpam-4087	84	7	(	(	PUNCT
ejpam-4087	84	8	supp	supp	PROPN
ejpam-4087	84	9	(	(	PUNCT
ejpam-4087	84	10	u	u	NOUN
ejpam-4087	84	11	)	)	PUNCT
ejpam-4087	84	12	)	)	PUNCT
ejpam-4087	84	13	,	,	PUNCT
ejpam-4087	84	14	r	r	NOUN
ejpam-4087	84	15	=	=	SYM
ejpam-4087	84	16	0	0	PUNCT
ejpam-4087	85	1	[	[	X
ejpam-4087	85	2	u]r	u]r	NOUN
ejpam-4087	85	3	is	be	AUX
ejpam-4087	85	4	closed	close	VERB
ejpam-4087	85	5	and	and	CCONJ
ejpam-4087	85	6	bounded	bound	VERB
ejpam-4087	85	7	interval	interval	NOUN
ejpam-4087	86	1	[	[	X
ejpam-4087	86	2	u	u	X
ejpam-4087	86	3	(	(	PUNCT
ejpam-4087	86	4	r	r	NOUN
ejpam-4087	86	5	)	)	PUNCT
ejpam-4087	86	6	,	,	PUNCT
ejpam-4087	86	7	u	u	NOUN
ejpam-4087	86	8	(	(	PUNCT
ejpam-4087	86	9	r	r	NOUN
ejpam-4087	86	10	)	)	PUNCT
ejpam-4087	86	11	]	]	PUNCT
ejpam-4087	86	12	where	where	SCONJ
ejpam-4087	86	13	u	u	NOUN
ejpam-4087	86	14	(	(	PUNCT
ejpam-4087	86	15	r	r	NOUN
ejpam-4087	86	16	)	)	PUNCT
ejpam-4087	86	17	denotes	denote	VERB
ejpam-4087	86	18	the	the	DET
ejpam-4087	86	19	left	left	ADJ
ejpam-4087	86	20	–	–	PUNCT
ejpam-4087	86	21	hand	hand	NOUN
ejpam-4087	86	22	endpoint	endpoint	NOUN
ejpam-4087	86	23	of	of	ADP
ejpam-4087	86	24	[	[	X
ejpam-4087	86	25	u]r	u]r	NOUN
ejpam-4087	86	26	and	and	CCONJ
ejpam-4087	86	27	ū	ū	NOUN
ejpam-4087	86	28	(	(	PUNCT
ejpam-4087	86	29	r	r	NOUN
ejpam-4087	86	30	)	)	PUNCT
ejpam-4087	86	31	denotes	denote	NOUN
ejpam-4087	86	32	the	the	DET
ejpam-4087	86	33	right	right	ADJ
ejpam-4087	86	34	–	–	PUNCT
ejpam-4087	86	35	hand	hand	NOUN
ejpam-4087	86	36	endpoint	endpoint	NOUN
ejpam-4087	86	37	of	of	ADP
ejpam-4087	86	38	[	[	X
ejpam-4087	86	39	u]r	u]r	NOUN
ejpam-4087	86	40	since	since	SCONJ
ejpam-4087	86	41	each	each	DET
ejpam-4087	86	42	u	u	NOUN
ejpam-4087	86	43	∈	∈	PROPN
ejpam-4087	86	44	r	r	NOUN
ejpam-4087	86	45	can	can	AUX
ejpam-4087	86	46	be	be	AUX
ejpam-4087	86	47	observed	observe	VERB
ejpam-4087	86	48	as	as	SCONJ
ejpam-4087	86	49	defined	define	VERB
ejpam-4087	86	50	by	by	ADP
ejpam-4087	86	51	ũ	ũ	PROPN
ejpam-4087	86	52	=	=	PUNCT
ejpam-4087	86	53	{	{	PUNCT
ejpam-4087	86	54	1	1	NUM
ejpam-4087	86	55	if	if	SCONJ
ejpam-4087	86	56	t	t	NOUN
ejpam-4087	86	57	=	=	SYM
ejpam-4087	86	58	u	u	PROPN
ejpam-4087	86	59	0	0	PROPN
ejpam-4087	86	60	if	if	SCONJ
ejpam-4087	86	61	t	t	PROPN
ejpam-4087	86	62	̸=	̸=	PROPN
ejpam-4087	86	63	u′	u′	PROPN
ejpam-4087	86	64	where	where	SCONJ
ejpam-4087	86	65	cl	cl	NOUN
ejpam-4087	86	66	(	(	PUNCT
ejpam-4087	86	67	supp	supp	PROPN
ejpam-4087	86	68	(	(	PUNCT
ejpam-4087	86	69	u	u	NOUN
ejpam-4087	86	70	)	)	PUNCT
ejpam-4087	86	71	)	)	PUNCT
ejpam-4087	87	1	=	=	SYM
ejpam-4087	87	2	closure	closure	NOUN
ejpam-4087	87	3	of	of	ADP
ejpam-4087	87	4	support	support	NOUN
ejpam-4087	87	5	u	u	NOUN
ejpam-4087	87	6	and	and	CCONJ
ejpam-4087	87	7	sup	sup	PROPN
ejpam-4087	87	8	p	p	NOUN
ejpam-4087	87	9	(	(	PUNCT
ejpam-4087	87	10	u	u	NOUN
ejpam-4087	87	11	)	)	PUNCT
ejpam-4087	87	12	=	=	SYM
ejpam-4087	87	13	{	{	PUNCT
ejpam-4087	87	14	t	t	X
ejpam-4087	87	15	:	:	PUNCT
ejpam-4087	87	16	u	u	PROPN
ejpam-4087	87	17	(	(	PUNCT
ejpam-4087	87	18	t	t	PROPN
ejpam-4087	87	19	)	)	PUNCT
ejpam-4087	87	20	>	>	X
ejpam-4087	87	21	0	0	NUM
ejpam-4087	87	22	}	}	PUNCT
ejpam-4087	87	23	.	.	PUNCT
ejpam-4087	88	1	definition	definition	NOUN
ejpam-4087	88	2	5	5	NUM
ejpam-4087	88	3	.	.	PUNCT
ejpam-4087	89	1	[	[	X
ejpam-4087	89	2	23	23	NUM
ejpam-4087	89	3	]	]	X
ejpam-4087	89	4	:	:	PUNCT
ejpam-4087	89	5	let	let	VERB
ejpam-4087	89	6	u	u	PRON
ejpam-4087	89	7	=	=	PUNCT
ejpam-4087	89	8	(	(	PUNCT
ejpam-4087	89	9	u	u	NOUN
ejpam-4087	89	10	(	(	PUNCT
ejpam-4087	89	11	r	r	NOUN
ejpam-4087	89	12	)	)	PUNCT
ejpam-4087	89	13	,	,	PUNCT
ejpam-4087	89	14	u	u	NOUN
ejpam-4087	89	15	(	(	PUNCT
ejpam-4087	89	16	r	r	NOUN
ejpam-4087	89	17	)	)	PUNCT
ejpam-4087	89	18	)	)	PUNCT
ejpam-4087	89	19	,	,	PUNCT
ejpam-4087	89	20	v	v	X
ejpam-4087	89	21	=	=	SYM
ejpam-4087	89	22	(	(	PUNCT
ejpam-4087	89	23	v	v	NOUN
ejpam-4087	89	24	(	(	PUNCT
ejpam-4087	89	25	r	r	NOUN
ejpam-4087	89	26	)	)	PUNCT
ejpam-4087	89	27	,	,	PUNCT
ejpam-4087	89	28	v	v	X
ejpam-4087	89	29	(	(	PUNCT
ejpam-4087	89	30	r	r	NOUN
ejpam-4087	89	31	)	)	PUNCT
ejpam-4087	89	32	)	)	PUNCT
ejpam-4087	89	33	,	,	PUNCT
ejpam-4087	89	34	0	0	NUM
ejpam-4087	89	35	≤	≤	NUM
ejpam-4087	89	36	r	r	NOUN
ejpam-4087	89	37	≤	≤	NUM
ejpam-4087	89	38	1	1	NUM
ejpam-4087	89	39	be	be	VERB
ejpam-4087	89	40	two	two	NUM
ejpam-4087	89	41	any	any	DET
ejpam-4087	89	42	arbitrary	arbitrary	ADJ
ejpam-4087	89	43	fuzzy	fuzzy	ADJ
ejpam-4087	89	44	numbers	number	NOUN
ejpam-4087	89	45	and	and	CCONJ
ejpam-4087	89	46	k	k	PROPN
ejpam-4087	89	47	is	be	AUX
ejpam-4087	89	48	scalar	scalar	ADJ
ejpam-4087	89	49	,	,	PUNCT
ejpam-4087	89	50	we	we	PRON
ejpam-4087	89	51	define	define	VERB
ejpam-4087	89	52	the	the	DET
ejpam-4087	89	53	operation	operation	NOUN
ejpam-4087	89	54	of	of	ADP
ejpam-4087	89	55	a	a	DET
ejpam-4087	89	56	fuzzy	fuzzy	ADJ
ejpam-4087	89	57	number	number	NOUN
ejpam-4087	89	58	(	(	PUNCT
ejpam-4087	89	59	i	i	NOUN
ejpam-4087	89	60	)	)	PUNCT
ejpam-4087	89	61	(	(	PUNCT
ejpam-4087	89	62	u+	u+	NOUN
ejpam-4087	89	63	v	v	NOUN
ejpam-4087	89	64	)	)	PUNCT
ejpam-4087	89	65	(	(	PUNCT
ejpam-4087	89	66	r	r	NOUN
ejpam-4087	89	67	)	)	PUNCT
ejpam-4087	89	68	=	=	SYM
ejpam-4087	89	69	(	(	PUNCT
ejpam-4087	89	70	u	u	NOUN
ejpam-4087	89	71	(	(	PUNCT
ejpam-4087	89	72	r	r	NOUN
ejpam-4087	89	73	)	)	PUNCT
ejpam-4087	90	1	+	+	NOUN
ejpam-4087	90	2	v	v	X
ejpam-4087	90	3	(	(	PUNCT
ejpam-4087	90	4	r	r	NOUN
ejpam-4087	90	5	)	)	PUNCT
ejpam-4087	90	6	)	)	PUNCT
ejpam-4087	90	7	,	,	PUNCT
ejpam-4087	90	8	(	(	PUNCT
ejpam-4087	90	9	u+	u+	NOUN
ejpam-4087	90	10	v	v	NOUN
ejpam-4087	90	11	)	)	PUNCT
ejpam-4087	90	12	(	(	PUNCT
ejpam-4087	90	13	r	r	NOUN
ejpam-4087	90	14	)	)	PUNCT
ejpam-4087	90	15	=	=	SYM
ejpam-4087	90	16	(	(	PUNCT
ejpam-4087	90	17	u	u	NOUN
ejpam-4087	90	18	(	(	PUNCT
ejpam-4087	90	19	r	r	NOUN
ejpam-4087	90	20	)	)	PUNCT
ejpam-4087	90	21	+	+	NOUN
ejpam-4087	90	22	v	v	X
ejpam-4087	90	23	(	(	PUNCT
ejpam-4087	90	24	r	r	NOUN
ejpam-4087	90	25	)	)	PUNCT
ejpam-4087	90	26	)	)	PUNCT
ejpam-4087	90	27	.	.	PUNCT
ejpam-4087	91	1	(	(	PUNCT
ejpam-4087	91	2	ii	ii	NOUN
ejpam-4087	91	3	)	)	PUNCT
ejpam-4087	91	4	(	(	PUNCT
ejpam-4087	91	5	u−	u−	PROPN
ejpam-4087	91	6	v	v	NOUN
ejpam-4087	91	7	)	)	PUNCT
ejpam-4087	91	8	(	(	PUNCT
ejpam-4087	91	9	r	r	NOUN
ejpam-4087	91	10	)	)	PUNCT
ejpam-4087	91	11	=	=	SYM
ejpam-4087	91	12	(	(	PUNCT
ejpam-4087	91	13	u	u	NOUN
ejpam-4087	91	14	(	(	PUNCT
ejpam-4087	91	15	r)−	r)−	PROPN
ejpam-4087	91	16	v	v	NOUN
ejpam-4087	91	17	(	(	PUNCT
ejpam-4087	91	18	r	r	NOUN
ejpam-4087	91	19	)	)	PUNCT
ejpam-4087	91	20	)	)	PUNCT
ejpam-4087	91	21	,	,	PUNCT
ejpam-4087	91	22	(	(	PUNCT
ejpam-4087	91	23	u−	u−	PROPN
ejpam-4087	91	24	v	v	NOUN
ejpam-4087	91	25	)	)	PUNCT
ejpam-4087	91	26	(	(	PUNCT
ejpam-4087	91	27	r	r	NOUN
ejpam-4087	91	28	)	)	PUNCT
ejpam-4087	91	29	=	=	SYM
ejpam-4087	91	30	(	(	PUNCT
ejpam-4087	91	31	u	u	NOUN
ejpam-4087	91	32	(	(	PUNCT
ejpam-4087	91	33	r)−	r)−	PROPN
ejpam-4087	91	34	v	v	NOUN
ejpam-4087	91	35	(	(	PUNCT
ejpam-4087	91	36	r	r	NOUN
ejpam-4087	91	37	)	)	PUNCT
ejpam-4087	91	38	)	)	PUNCT
ejpam-4087	91	39	.	.	PUNCT
ejpam-4087	92	1	(	(	PUNCT
ejpam-4087	92	2	iii	iii	X
ejpam-4087	92	3	)	)	PUNCT
ejpam-4087	92	4	kŭ	kŭ	NOUN
ejpam-4087	92	5	=	=	PRON
ejpam-4087	92	6	{	{	PUNCT
ejpam-4087	92	7	(	(	PUNCT
ejpam-4087	92	8	ku	ku	PROPN
ejpam-4087	92	9	(	(	PUNCT
ejpam-4087	92	10	r	r	PROPN
ejpam-4087	92	11	)	)	PUNCT
ejpam-4087	92	12	,	,	PUNCT
ejpam-4087	92	13	ku	ku	PROPN
ejpam-4087	92	14	(	(	PUNCT
ejpam-4087	92	15	r	r	NOUN
ejpam-4087	92	16	)	)	PUNCT
ejpam-4087	92	17	)	)	PUNCT
ejpam-4087	92	18	,	,	PUNCT
ejpam-4087	93	1	k	k	X
ejpam-4087	93	2	≥	≥	X
ejpam-4087	93	3	0	0	NUM
ejpam-4087	93	4	(	(	PUNCT
ejpam-4087	93	5	ku	ku	PROPN
ejpam-4087	93	6	(	(	PUNCT
ejpam-4087	93	7	r	r	PROPN
ejpam-4087	93	8	)	)	PUNCT
ejpam-4087	93	9	,	,	PUNCT
ejpam-4087	93	10	ku	ku	PROPN
ejpam-4087	93	11	(	(	PUNCT
ejpam-4087	93	12	r	r	NOUN
ejpam-4087	93	13	)	)	PUNCT
ejpam-4087	93	14	)	)	PUNCT
ejpam-4087	93	15	,	,	PUNCT
ejpam-4087	94	1	k	k	X
ejpam-4087	94	2	<	<	X
ejpam-4087	94	3	0	0	PUNCT
ejpam-4087	94	4	(	(	PUNCT
ejpam-4087	94	5	iv	iv	X
ejpam-4087	94	6	)	)	PUNCT
ejpam-4087	94	7	ũ.ṽ	ũ.ṽ	PROPN
ejpam-4087	94	8	=	=	SYM
ejpam-4087	94	9	{	{	PUNCT
ejpam-4087	94	10	uv	uv	NOUN
ejpam-4087	94	11	(	(	PUNCT
ejpam-4087	94	12	r	r	NOUN
ejpam-4087	94	13	)	)	PUNCT
ejpam-4087	94	14	=	=	SYM
ejpam-4087	94	15	max	max	PROPN
ejpam-4087	94	16	{	{	PUNCT
ejpam-4087	94	17	u	u	NOUN
ejpam-4087	94	18	(	(	PUNCT
ejpam-4087	94	19	r	r	NOUN
ejpam-4087	94	20	)	)	PUNCT
ejpam-4087	94	21	v	v	NOUN
ejpam-4087	94	22	(	(	PUNCT
ejpam-4087	94	23	r	r	NOUN
ejpam-4087	94	24	)	)	PUNCT
ejpam-4087	94	25	,	,	PUNCT
ejpam-4087	94	26	u	u	NOUN
ejpam-4087	94	27	(	(	PUNCT
ejpam-4087	94	28	r	r	NOUN
ejpam-4087	94	29	)	)	PUNCT
ejpam-4087	94	30	v	v	NOUN
ejpam-4087	94	31	(	(	PUNCT
ejpam-4087	94	32	r	r	NOUN
ejpam-4087	94	33	)	)	PUNCT
ejpam-4087	94	34	,	,	PUNCT
ejpam-4087	94	35	u	u	NOUN
ejpam-4087	94	36	(	(	PUNCT
ejpam-4087	94	37	r	r	NOUN
ejpam-4087	94	38	)	)	PUNCT
ejpam-4087	94	39	v	v	NOUN
ejpam-4087	94	40	(	(	PUNCT
ejpam-4087	94	41	r	r	NOUN
ejpam-4087	94	42	)	)	PUNCT
ejpam-4087	94	43	,	,	PUNCT
ejpam-4087	94	44	u	u	NOUN
ejpam-4087	94	45	(	(	PUNCT
ejpam-4087	94	46	r	r	NOUN
ejpam-4087	94	47	)	)	PUNCT
ejpam-4087	94	48	v	v	NOUN
ejpam-4087	94	49	(	(	PUNCT
ejpam-4087	94	50	r	r	NOUN
ejpam-4087	94	51	)	)	PUNCT
ejpam-4087	94	52	}	}	PUNCT
ejpam-4087	94	53	uv	uv	NOUN
ejpam-4087	94	54	(	(	PUNCT
ejpam-4087	94	55	r	r	NOUN
ejpam-4087	94	56	)	)	PUNCT
ejpam-4087	94	57	=	=	SYM
ejpam-4087	94	58	min	min	NOUN
ejpam-4087	94	59	{	{	PUNCT
ejpam-4087	94	60	u	u	NOUN
ejpam-4087	94	61	(	(	PUNCT
ejpam-4087	94	62	r	r	NOUN
ejpam-4087	94	63	)	)	PUNCT
ejpam-4087	94	64	v	v	NOUN
ejpam-4087	94	65	(	(	PUNCT
ejpam-4087	94	66	r	r	NOUN
ejpam-4087	94	67	)	)	PUNCT
ejpam-4087	94	68	,	,	PUNCT
ejpam-4087	94	69	u	u	NOUN
ejpam-4087	94	70	(	(	PUNCT
ejpam-4087	94	71	r	r	NOUN
ejpam-4087	94	72	)	)	PUNCT
ejpam-4087	94	73	v	v	NOUN
ejpam-4087	94	74	(	(	PUNCT
ejpam-4087	94	75	r	r	NOUN
ejpam-4087	94	76	)	)	PUNCT
ejpam-4087	94	77	,	,	PUNCT
ejpam-4087	94	78	u	u	NOUN
ejpam-4087	94	79	(	(	PUNCT
ejpam-4087	94	80	r	r	NOUN
ejpam-4087	94	81	)	)	PUNCT
ejpam-4087	94	82	v	v	NOUN
ejpam-4087	94	83	(	(	PUNCT
ejpam-4087	94	84	r	r	NOUN
ejpam-4087	94	85	)	)	PUNCT
ejpam-4087	94	86	,	,	PUNCT
ejpam-4087	94	87	u	u	NOUN
ejpam-4087	94	88	(	(	PUNCT
ejpam-4087	94	89	r	r	NOUN
ejpam-4087	94	90	)	)	PUNCT
ejpam-4087	94	91	v	v	NOUN
ejpam-4087	94	92	(	(	PUNCT
ejpam-4087	94	93	r	r	NOUN
ejpam-4087	94	94	)	)	PUNCT
ejpam-4087	94	95	}	}	PUNCT
ejpam-4087	94	96	definition	definition	NOUN
ejpam-4087	94	97	6	6	NUM
ejpam-4087	94	98	.	.	PUNCT
ejpam-4087	95	1	(	(	PUNCT
ejpam-4087	95	2	the	the	DET
ejpam-4087	95	3	fuzzy	fuzzy	ADJ
ejpam-4087	95	4	riemann	riemann	PROPN
ejpam-4087	95	5	integral	integral	PROPN
ejpam-4087	95	6	)	)	PUNCT
ejpam-4087	96	1	[	[	X
ejpam-4087	96	2	31	31	NUM
ejpam-4087	96	3	]	]	PUNCT
ejpam-4087	96	4	:	:	PUNCT
ejpam-4087	96	5	we	we	PRON
ejpam-4087	96	6	say	say	VERB
ejpam-4087	96	7	that	that	SCONJ
ejpam-4087	96	8	1f̃	1f̃	PROPN
ejpam-4087	96	9	(	(	PUNCT
ejpam-4087	96	10	t	t	PROPN
ejpam-4087	96	11	)	)	PUNCT
ejpam-4087	96	12	is	be	AUX
ejpam-4087	96	13	a	a	DET
ejpam-4087	96	14	fuzzy	fuzzy	ADJ
ejpam-4087	96	15	valued	value	VERB
ejpam-4087	96	16	function	function	NOUN
ejpam-4087	96	17	if	if	SCONJ
ejpam-4087	96	18	f̃	f̃	PROPN
ejpam-4087	96	19	:	:	PUNCT
ejpam-4087	96	20	x	x	X
ejpam-4087	96	21	→	→	SYM
ejpam-4087	96	22	f.	f.	PROPN
ejpam-4087	96	23	2f̃	2f̃	PROPN
ejpam-4087	96	24	(	(	PUNCT
ejpam-4087	96	25	t	t	NOUN
ejpam-4087	96	26	)	)	PUNCT
ejpam-4087	96	27	is	be	AUX
ejpam-4087	96	28	a	a	DET
ejpam-4087	96	29	closed	closed	ADJ
ejpam-4087	96	30	fuzzy	fuzzy	ADJ
ejpam-4087	96	31	valued	value	VERB
ejpam-4087	96	32	function	function	NOUN
ejpam-4087	96	33	if	if	SCONJ
ejpam-4087	96	34	f̃	f̃	PROPN
ejpam-4087	96	35	:	:	PUNCT
ejpam-4087	96	36	x	x	SYM
ejpam-4087	96	37	→	→	SYM
ejpam-4087	96	38	fcl	fcl	PROPN
ejpam-4087	96	39	.	.	PUNCT
ejpam-4087	97	1	3f̃	3f̃	NUM
ejpam-4087	97	2	(	(	PUNCT
ejpam-4087	97	3	t	t	NOUN
ejpam-4087	97	4	)	)	PUNCT
ejpam-4087	97	5	is	be	AUX
ejpam-4087	97	6	a	a	DET
ejpam-4087	97	7	bounded	bound	VERB
ejpam-4087	97	8	fuzzy	fuzzy	ADJ
ejpam-4087	97	9	valued	value	VERB
ejpam-4087	97	10	function	function	NOUN
ejpam-4087	97	11	if	if	SCONJ
ejpam-4087	97	12	f̃	f̃	PROPN
ejpam-4087	97	13	:	:	PUNCT
ejpam-4087	97	14	x	x	SYM
ejpam-4087	97	15	→	→	SYM
ejpam-4087	98	1	fb	fb	X
ejpam-4087	98	2	.	.	PUNCT
ejpam-4087	99	1	we	we	PRON
ejpam-4087	99	2	denote	denote	VERB
ejpam-4087	99	3	ar	ar	PROPN
ejpam-4087	99	4	=	=	PUNCT
ejpam-4087	100	1	[	[	X
ejpam-4087	100	2	∫	∫	X
ejpam-4087	100	3	b	b	PROPN
ejpam-4087	100	4	a	a	DET
ejpam-4087	100	5	f̃l	f̃l	PROPN
ejpam-4087	100	6	r	r	NOUN
ejpam-4087	100	7	(	(	PUNCT
ejpam-4087	100	8	s	s	NOUN
ejpam-4087	100	9	)	)	PUNCT
ejpam-4087	100	10	ds	ds	PROPN
ejpam-4087	100	11	,	,	PUNCT
ejpam-4087	100	12	∫	∫	PROPN
ejpam-4087	100	13	b	b	PROPN
ejpam-4087	100	14	a	a	DET
ejpam-4087	100	15	f̃u	f̃u	NOUN
ejpam-4087	100	16	r	r	NOUN
ejpam-4087	100	17	(	(	PUNCT
ejpam-4087	100	18	s	s	X
ejpam-4087	100	19	)	)	PUNCT
ejpam-4087	100	20	ds	ds	X
ejpam-4087	100	21	]	]	PUNCT
ejpam-4087	100	22	.	.	PUNCT
ejpam-4087	101	1	if	if	SCONJ
ejpam-4087	101	2	f̃	f̃	PROPN
ejpam-4087	101	3	(	(	PUNCT
ejpam-4087	101	4	t	t	PROPN
ejpam-4087	101	5	)	)	PUNCT
ejpam-4087	101	6	is	be	AUX
ejpam-4087	101	7	a	a	DET
ejpam-4087	101	8	fuzzy	fuzzy	ADJ
ejpam-4087	101	9	valued	value	VERB
ejpam-4087	101	10	function	function	NOUN
ejpam-4087	101	11	on	on	ADP
ejpam-4087	101	12	[	[	X
ejpam-4087	101	13	a	a	X
ejpam-4087	101	14	,	,	PUNCT
ejpam-4087	101	15	b	b	NOUN
ejpam-4087	101	16	]	]	X
ejpam-4087	101	17	that	that	PRON
ejpam-4087	101	18	is	be	AUX
ejpam-4087	101	19	closed	close	VERB
ejpam-4087	101	20	and	and	CCONJ
ejpam-4087	101	21	bounded	bound	VERB
ejpam-4087	101	22	,	,	PUNCT
ejpam-4087	101	23	then	then	ADV
ejpam-4087	101	24	the	the	DET
ejpam-4087	101	25	fuzzy	fuzzy	ADJ
ejpam-4087	101	26	riemann	riemann	PROPN
ejpam-4087	101	27	integral	integral	PROPN
ejpam-4087	101	28	∫	∫	PROPN
ejpam-4087	101	29	b	b	PROPN
ejpam-4087	101	30	a	a	DET
ejpam-4087	101	31	f̃	f̃	PROPN
ejpam-4087	101	32	(	(	PUNCT
ejpam-4087	101	33	s	s	NOUN
ejpam-4087	101	34	)	)	PUNCT
ejpam-4087	101	35	ds	ds	NOUN
ejpam-4087	101	36	,	,	PUNCT
ejpam-4087	101	37	is	be	AUX
ejpam-4087	101	38	a	a	DET
ejpam-4087	101	39	closed	closed	ADJ
ejpam-4087	101	40	fuzzy	fuzzy	ADJ
ejpam-4087	101	41	number	number	NOUN
ejpam-4087	101	42	.	.	PUNCT
ejpam-4087	102	1	furthermore	furthermore	ADV
ejpam-4087	102	2	,	,	PUNCT
ejpam-4087	102	3	the	the	DET
ejpam-4087	102	4	[	[	X
ejpam-4087	102	5	u]r	u]r	X
ejpam-4087	102	6	set	set	NOUN
ejpam-4087	102	7	of	of	ADP
ejpam-4087	102	8	∫	∫	PROPN
ejpam-4087	102	9	b	b	PROPN
ejpam-4087	102	10	a	a	PRON
ejpam-4087	102	11	f̃	f̃	PROPN
ejpam-4087	102	12	(	(	PUNCT
ejpam-4087	102	13	s	s	NOUN
ejpam-4087	102	14	)	)	PUNCT
ejpam-4087	102	15	ds	ds	ADJ
ejpam-4087	102	16	is(∫	is(∫	NOUN
ejpam-4087	102	17	b	b	PROPN
ejpam-4087	102	18	a	a	DET
ejpam-4087	102	19	f̃	f̃	PROPN
ejpam-4087	102	20	(	(	PUNCT
ejpam-4087	102	21	s	s	NOUN
ejpam-4087	102	22	)	)	PUNCT
ejpam-4087	102	23	ds	ds	ADJ
ejpam-4087	102	24	)	)	PUNCT
ejpam-4087	102	25	r	r	NOUN
ejpam-4087	102	26	=	=	PUNCT
ejpam-4087	103	1	[	[	X
ejpam-4087	103	2	∫	∫	X
ejpam-4087	103	3	b	b	PROPN
ejpam-4087	103	4	a	a	DET
ejpam-4087	103	5	f̃l	f̃l	PROPN
ejpam-4087	103	6	r	r	NOUN
ejpam-4087	103	7	(	(	PUNCT
ejpam-4087	103	8	s	s	NOUN
ejpam-4087	103	9	)	)	PUNCT
ejpam-4087	103	10	ds	ds	PROPN
ejpam-4087	103	11	,	,	PUNCT
ejpam-4087	103	12	∫	∫	PROPN
ejpam-4087	103	13	b	b	PROPN
ejpam-4087	103	14	a	a	DET
ejpam-4087	103	15	f̃u	f̃u	NOUN
ejpam-4087	103	16	r	r	NOUN
ejpam-4087	103	17	(	(	PUNCT
ejpam-4087	103	18	s	s	X
ejpam-4087	103	19	)	)	PUNCT
ejpam-4087	103	20	ds	ds	X
ejpam-4087	103	21	]	]	PUNCT
ejpam-4087	103	22	.	.	PUNCT
ejpam-4087	104	1	3	3	X
ejpam-4087	104	2	.	.	X
ejpam-4087	104	3	fuzzy	fuzzy	ADJ
ejpam-4087	104	4	system	system	NOUN
ejpam-4087	104	5	of	of	ADP
ejpam-4087	104	6	volterra	volterra	PROPN
ejpam-4087	104	7	integro	integro	PROPN
ejpam-4087	104	8	-	-	PUNCT
ejpam-4087	104	9	differential	differential	NOUN
ejpam-4087	104	10	equations	equation	NOUN
ejpam-4087	104	11	when	when	SCONJ
ejpam-4087	104	12	a	a	DET
ejpam-4087	104	13	physical	physical	ADJ
ejpam-4087	104	14	system	system	NOUN
ejpam-4087	104	15	is	be	AUX
ejpam-4087	104	16	modeled	model	VERB
ejpam-4087	104	17	in	in	ADP
ejpam-4087	104	18	a	a	DET
ejpam-4087	104	19	differential	differential	ADJ
ejpam-4087	104	20	sense	sense	NOUN
ejpam-4087	104	21	,	,	PUNCT
ejpam-4087	104	22	the	the	DET
ejpam-4087	104	23	result	result	NOUN
ejpam-4087	104	24	is	be	AUX
ejpam-4087	104	25	a	a	DET
ejpam-4087	104	26	fuzzy	fuzzy	ADJ
ejpam-4087	104	27	integral	integral	ADJ
ejpam-4087	104	28	equation	equation	NOUN
ejpam-4087	104	29	or	or	CCONJ
ejpam-4087	104	30	a	a	DET
ejpam-4087	104	31	fuzzy	fuzzy	ADJ
ejpam-4087	104	32	integro	integro	ADJ
ejpam-4087	104	33	-	-	PUNCT
ejpam-4087	104	34	differential	differential	NOUN
ejpam-4087	104	35	equation	equation	NOUN
ejpam-4087	104	36	,	,	PUNCT
ejpam-4087	104	37	and	and	CCONJ
ejpam-4087	104	38	hence	hence	ADV
ejpam-4087	104	39	the	the	DET
ejpam-4087	104	40	solution	solution	NOUN
ejpam-4087	104	41	of	of	ADP
ejpam-4087	104	42	fuzzy	fuzzy	ADJ
ejpam-4087	104	43	integro	integro	ADJ
ejpam-4087	104	44	-	-	PUNCT
ejpam-4087	104	45	differential	differential	NOUN
ejpam-4087	104	46	equations	equation	NOUN
ejpam-4087	104	47	is	be	AUX
ejpam-4087	104	48	important	important	ADJ
ejpam-4087	104	49	in	in	ADP
ejpam-4087	104	50	science	science	NOUN
ejpam-4087	104	51	and	and	CCONJ
ejpam-4087	104	52	engineering	engineering	NOUN
ejpam-4087	104	53	.	.	PUNCT
ejpam-4087	105	1	analytically	analytically	ADV
ejpam-4087	105	2	,	,	PUNCT
ejpam-4087	105	3	nonlinear	nonlinear	ADJ
ejpam-4087	105	4	fuzzy	fuzzy	ADJ
ejpam-4087	105	5	integro	integro	ADJ
ejpam-4087	105	6	-	-	PUNCT
ejpam-4087	105	7	differential	differential	NOUN
ejpam-4087	105	8	equations	equation	NOUN
ejpam-4087	105	9	are	be	AUX
ejpam-4087	105	10	difficult	difficult	ADJ
ejpam-4087	105	11	to	to	PART
ejpam-4087	105	12	solve	solve	VERB
ejpam-4087	105	13	,	,	PUNCT
ejpam-4087	105	14	and	and	CCONJ
ejpam-4087	105	15	accurate	accurate	ADJ
ejpam-4087	105	16	solutions	solution	NOUN
ejpam-4087	105	17	are	be	AUX
ejpam-4087	105	18	rare	rare	ADJ
ejpam-4087	105	19	[	[	X
ejpam-4087	105	20	10	10	NUM
ejpam-4087	105	21	]	]	PUNCT
ejpam-4087	105	22	.	.	PUNCT
ejpam-4087	106	1	m.	m.	NOUN
ejpam-4087	106	2	t.	t.	PROPN
ejpam-4087	106	3	younis	younis	PROPN
ejpam-4087	106	4	,	,	PUNCT
ejpam-4087	106	5	w.	w.	PROPN
ejpam-4087	106	6	al	al	PROPN
ejpam-4087	106	7	-	-	PUNCT
ejpam-4087	106	8	hayani	hayani	PROPN
ejpam-4087	106	9	/	/	SYM
ejpam-4087	106	10	eur	eur	PROPN
ejpam-4087	106	11	.	.	PUNCT
ejpam-4087	107	1	j.	j.	PROPN
ejpam-4087	107	2	pure	pure	PROPN
ejpam-4087	107	3	appl	appl	PROPN
ejpam-4087	107	4	.	.	PROPN
ejpam-4087	107	5	math	math	PROPN
ejpam-4087	107	6	,	,	PUNCT
ejpam-4087	107	7	15	15	NUM
ejpam-4087	107	8	(	(	PUNCT
ejpam-4087	107	9	1	1	NUM
ejpam-4087	107	10	)	)	PUNCT
ejpam-4087	107	11	(	(	PUNCT
ejpam-4087	107	12	2022	2022	NUM
ejpam-4087	107	13	)	)	PUNCT
ejpam-4087	107	14	,	,	PUNCT
ejpam-4087	107	15	290	290	NUM
ejpam-4087	107	16	-	-	SYM
ejpam-4087	107	17	313	313	NUM
ejpam-4087	107	18	294	294	NUM
ejpam-4087	107	19	we	we	PRON
ejpam-4087	107	20	consider	consider	VERB
ejpam-4087	107	21	the	the	DET
ejpam-4087	107	22	following	follow	VERB
ejpam-4087	107	23	fuzzy	fuzzy	ADJ
ejpam-4087	107	24	system	system	NOUN
ejpam-4087	107	25	of	of	ADP
ejpam-4087	107	26	volterra	volterra	PROPN
ejpam-4087	107	27	integro	integro	PROPN
ejpam-4087	107	28	-	-	PUNCT
ejpam-4087	107	29	differential	differential	NOUN
ejpam-4087	107	30	equations	equation	NOUN
ejpam-4087	107	31	(	(	PUNCT
ejpam-4087	107	32	fsvides	fsvide	NOUN
ejpam-4087	107	33	)	)	PUNCT
ejpam-4087	107	34	of	of	ADP
ejpam-4087	107	35	the	the	DET
ejpam-4087	107	36	second	second	ADJ
ejpam-4087	107	37	kind	kind	NOUN
ejpam-4087	108	1	[	[	X
ejpam-4087	108	2	17	17	NUM
ejpam-4087	108	3	,	,	PUNCT
ejpam-4087	108	4	18	18	NUM
ejpam-4087	108	5	]	]	PUNCT
ejpam-4087	108	6	:	:	PUNCT
ejpam-4087	108	7	ũ′′i	ũ′′i	PRON
ejpam-4087	108	8	(	(	PUNCT
ejpam-4087	108	9	x	x	X
ejpam-4087	108	10	,	,	PUNCT
ejpam-4087	108	11	α	α	NOUN
ejpam-4087	108	12	)	)	PUNCT
ejpam-4087	108	13	=	=	PUNCT
ejpam-4087	108	14	f̃i	f̃i	NOUN
ejpam-4087	108	15	(	(	PUNCT
ejpam-4087	108	16	x	x	NOUN
ejpam-4087	108	17	,	,	PUNCT
ejpam-4087	108	18	α	α	NOUN
ejpam-4087	108	19	)	)	PUNCT
ejpam-4087	108	20	+	+	NOUN
ejpam-4087	109	1	2∑	2∑	NUM
ejpam-4087	109	2	j=1	j=1	NOUN
ejpam-4087	109	3	λij	λij	X
ejpam-4087	109	4	∫	∫	PROPN
ejpam-4087	109	5	x	x	SYM
ejpam-4087	109	6	0	0	PUNCT
ejpam-4087	109	7	kij	kij	PROPN
ejpam-4087	109	8	(	(	PUNCT
ejpam-4087	109	9	x	x	PROPN
ejpam-4087	109	10	,	,	PUNCT
ejpam-4087	109	11	t	t	PROPN
ejpam-4087	109	12	)	)	PUNCT
ejpam-4087	109	13	f̃ij	f̃ij	PROPN
ejpam-4087	109	14	(	(	PUNCT
ejpam-4087	109	15	ũ	ũ	PROPN
ejpam-4087	109	16	(	(	PUNCT
ejpam-4087	109	17	t	t	PROPN
ejpam-4087	109	18	,	,	PUNCT
ejpam-4087	109	19	α	α	NOUN
ejpam-4087	109	20	)	)	PUNCT
ejpam-4087	109	21	)	)	PUNCT
ejpam-4087	110	1	dt	dt	PROPN
ejpam-4087	110	2	,	,	PUNCT
ejpam-4087	110	3	i	i	PRON
ejpam-4087	110	4	=	=	NOUN
ejpam-4087	110	5	1	1	NUM
ejpam-4087	110	6	,	,	PUNCT
ejpam-4087	110	7	2	2	NUM
ejpam-4087	110	8	(	(	PUNCT
ejpam-4087	110	9	1	1	NUM
ejpam-4087	110	10	)	)	PUNCT
ejpam-4087	110	11	with	with	ADP
ejpam-4087	110	12	the	the	DET
ejpam-4087	110	13	initial	initial	ADJ
ejpam-4087	110	14	conditions	condition	NOUN
ejpam-4087	110	15	ũi	ũi	ADJ
ejpam-4087	110	16	(	(	PUNCT
ejpam-4087	110	17	0	0	NUM
ejpam-4087	110	18	,	,	PUNCT
ejpam-4087	110	19	α	α	NOUN
ejpam-4087	110	20	)	)	PUNCT
ejpam-4087	110	21	=	=	PUNCT
ejpam-4087	110	22	(	(	PUNCT
ejpam-4087	110	23	ai	ai	INTJ
ejpam-4087	110	24	(	(	PUNCT
ejpam-4087	110	25	α	α	NOUN
ejpam-4087	110	26	)	)	PUNCT
ejpam-4087	110	27	,	,	PUNCT
ejpam-4087	110	28	ai	ai	INTJ
ejpam-4087	110	29	(	(	PUNCT
ejpam-4087	110	30	α	α	NOUN
ejpam-4087	110	31	)	)	PUNCT
ejpam-4087	110	32	)	)	PUNCT
ejpam-4087	110	33	,	,	PUNCT
ejpam-4087	110	34	ũ′i	ũ′i	PROPN
ejpam-4087	110	35	(	(	PUNCT
ejpam-4087	110	36	0	0	NUM
ejpam-4087	110	37	,	,	PUNCT
ejpam-4087	110	38	α	α	NOUN
ejpam-4087	110	39	)	)	PUNCT
ejpam-4087	110	40	=	=	SYM
ejpam-4087	111	1	(	(	PUNCT
ejpam-4087	111	2	bi	bi	NOUN
ejpam-4087	111	3	(	(	PUNCT
ejpam-4087	111	4	α	α	NOUN
ejpam-4087	111	5	)	)	PUNCT
ejpam-4087	111	6	,	,	PUNCT
ejpam-4087	111	7	bi	bi	NOUN
ejpam-4087	111	8	(	(	PUNCT
ejpam-4087	111	9	α	α	NOUN
ejpam-4087	111	10	)	)	PUNCT
ejpam-4087	111	11	)	)	PUNCT
ejpam-4087	111	12	,	,	PUNCT
ejpam-4087	111	13	i	i	PRON
ejpam-4087	111	14	=	=	NOUN
ejpam-4087	111	15	1	1	NUM
ejpam-4087	111	16	,	,	PUNCT
ejpam-4087	111	17	2	2	NUM
ejpam-4087	111	18	(	(	PUNCT
ejpam-4087	111	19	2	2	NUM
ejpam-4087	111	20	)	)	PUNCT
ejpam-4087	111	21	where	where	SCONJ
ejpam-4087	111	22	λij	λij	ADP
ejpam-4087	111	23	̸=	̸=	PROPN
ejpam-4087	111	24	0	0	NUM
ejpam-4087	111	25	,	,	PUNCT
ejpam-4087	111	26	i	i	PRON
ejpam-4087	111	27	,	,	PUNCT
ejpam-4087	111	28	j	j	PROPN
ejpam-4087	111	29	=	=	SYM
ejpam-4087	111	30	1	1	NUM
ejpam-4087	111	31	,	,	PUNCT
ejpam-4087	111	32	2	2	NUM
ejpam-4087	111	33	are	be	AUX
ejpam-4087	111	34	real	real	ADJ
ejpam-4087	111	35	constants	constant	NOUN
ejpam-4087	111	36	,	,	PUNCT
ejpam-4087	111	37	ũ	ũ	PROPN
ejpam-4087	111	38	(	(	PUNCT
ejpam-4087	111	39	t	t	PROPN
ejpam-4087	111	40	,	,	PUNCT
ejpam-4087	111	41	α	α	NOUN
ejpam-4087	111	42	)	)	PUNCT
ejpam-4087	111	43	=	=	SYM
ejpam-4087	111	44	(	(	PUNCT
ejpam-4087	111	45	ũ1	ũ1	PROPN
ejpam-4087	111	46	(	(	PUNCT
ejpam-4087	111	47	t	t	PROPN
ejpam-4087	111	48	,	,	PUNCT
ejpam-4087	111	49	α	α	NOUN
ejpam-4087	111	50	)	)	PUNCT
ejpam-4087	111	51	,	,	PUNCT
ejpam-4087	111	52	ũ2	ũ2	PROPN
ejpam-4087	111	53	(	(	PUNCT
ejpam-4087	111	54	t	t	PROPN
ejpam-4087	111	55	,	,	PUNCT
ejpam-4087	111	56	α	α	NOUN
ejpam-4087	111	57	)	)	PUNCT
ejpam-4087	111	58	)	)	PUNCT
ejpam-4087	112	1	t	t	NOUN
ejpam-4087	112	2	,	,	PUNCT
ejpam-4087	112	3	0	0	NUM
ejpam-4087	112	4	≤	≤	NUM
ejpam-4087	112	5	t	t	NOUN
ejpam-4087	112	6	≤	≤	NUM
ejpam-4087	112	7	x	x	X
ejpam-4087	112	8	,	,	PUNCT
ejpam-4087	112	9	a	a	DET
ejpam-4087	112	10	≤	≤	NUM
ejpam-4087	112	11	x	x	PUNCT
ejpam-4087	112	12	≤	≤	NUM
ejpam-4087	112	13	b	b	NOUN
ejpam-4087	112	14	,	,	PUNCT
ejpam-4087	112	15	ũi	ũi	PROPN
ejpam-4087	112	16	(	(	PUNCT
ejpam-4087	112	17	x	x	NOUN
ejpam-4087	112	18	,	,	PUNCT
ejpam-4087	112	19	α	α	NOUN
ejpam-4087	112	20	)	)	PUNCT
ejpam-4087	112	21	are	be	AUX
ejpam-4087	112	22	unknown	unknown	ADJ
ejpam-4087	112	23	functions	function	NOUN
ejpam-4087	112	24	,	,	PUNCT
ejpam-4087	112	25	f̃i	f̃i	NOUN
ejpam-4087	112	26	(	(	PUNCT
ejpam-4087	112	27	x	x	NOUN
ejpam-4087	112	28	,	,	PUNCT
ejpam-4087	112	29	α	α	NOUN
ejpam-4087	112	30	)	)	PUNCT
ejpam-4087	112	31	and	and	CCONJ
ejpam-4087	112	32	the	the	DET
ejpam-4087	112	33	kernels	kernel	NOUN
ejpam-4087	112	34	kij	kij	PROPN
ejpam-4087	112	35	(	(	PUNCT
ejpam-4087	112	36	x	x	PROPN
ejpam-4087	112	37	,	,	PUNCT
ejpam-4087	112	38	t	t	PROPN
ejpam-4087	112	39	)	)	PUNCT
ejpam-4087	112	40	are	be	AUX
ejpam-4087	112	41	analytical	analytical	ADJ
ejpam-4087	112	42	functions	function	NOUN
ejpam-4087	112	43	,	,	PUNCT
ejpam-4087	112	44	f̃ij	f̃ij	PROPN
ejpam-4087	112	45	(	(	PUNCT
ejpam-4087	112	46	ũ	ũ	PROPN
ejpam-4087	112	47	(	(	PUNCT
ejpam-4087	112	48	t	t	PROPN
ejpam-4087	112	49	,	,	PUNCT
ejpam-4087	112	50	α	α	NOUN
ejpam-4087	112	51	)	)	PUNCT
ejpam-4087	112	52	)	)	PUNCT
ejpam-4087	112	53	are	be	AUX
ejpam-4087	112	54	linear	linear	ADJ
ejpam-4087	112	55	or	or	CCONJ
ejpam-4087	112	56	non	non	ADJ
ejpam-4087	112	57	-	-	ADJ
ejpam-4087	112	58	linear	linear	ADJ
ejpam-4087	112	59	functional	functional	NOUN
ejpam-4087	112	60	of	of	ADP
ejpam-4087	112	61	the	the	DET
ejpam-4087	112	62	unknown	unknown	ADJ
ejpam-4087	112	63	functions	function	NOUN
ejpam-4087	112	64	ũi	ũi	PROPN
ejpam-4087	112	65	(	(	PUNCT
ejpam-4087	112	66	x	x	NOUN
ejpam-4087	112	67	,	,	PUNCT
ejpam-4087	112	68	α	α	NOUN
ejpam-4087	112	69	)	)	PUNCT
ejpam-4087	112	70	.	.	PUNCT
ejpam-4087	113	1	under	under	ADP
ejpam-4087	113	2	the	the	DET
ejpam-4087	113	3	appropriate	appropriate	ADJ
ejpam-4087	113	4	conditions	condition	NOUN
ejpam-4087	113	5	f̃i	f̃i	NOUN
ejpam-4087	113	6	(	(	PUNCT
ejpam-4087	113	7	x	x	NOUN
ejpam-4087	113	8	,	,	PUNCT
ejpam-4087	113	9	α	α	NOUN
ejpam-4087	113	10	)	)	PUNCT
ejpam-4087	113	11	and	and	CCONJ
ejpam-4087	113	12	kij	kij	PROPN
ejpam-4087	113	13	(	(	PUNCT
ejpam-4087	113	14	x	x	PROPN
ejpam-4087	113	15	,	,	PUNCT
ejpam-4087	113	16	t	t	PROPN
ejpam-4087	113	17	)	)	PUNCT
ejpam-4087	113	18	,	,	PUNCT
ejpam-4087	113	19	the	the	DET
ejpam-4087	113	20	fsvides	fsvide	NOUN
ejpam-4087	113	21	(	(	PUNCT
ejpam-4087	113	22	1	1	X
ejpam-4087	113	23	)	)	PUNCT
ejpam-4087	113	24	have	have	VERB
ejpam-4087	113	25	a	a	DET
ejpam-4087	113	26	unique	unique	ADJ
ejpam-4087	113	27	continuous	continuous	ADJ
ejpam-4087	113	28	solution	solution	NOUN
ejpam-4087	113	29	ũi	ũi	PROPN
ejpam-4087	113	30	(	(	PUNCT
ejpam-4087	113	31	x	x	NOUN
ejpam-4087	113	32	,	,	PUNCT
ejpam-4087	113	33	α	α	NOUN
ejpam-4087	113	34	)	)	PUNCT
ejpam-4087	113	35	on	on	ADP
ejpam-4087	113	36	the	the	DET
ejpam-4087	113	37	given	give	VERB
ejpam-4087	113	38	interval	interval	NOUN
ejpam-4087	113	39	[	[	X
ejpam-4087	113	40	a	a	X
ejpam-4087	113	41	,	,	PUNCT
ejpam-4087	113	42	b	b	NOUN
ejpam-4087	113	43	]	]	PUNCT
ejpam-4087	113	44	.	.	PUNCT
ejpam-4087	114	1	the	the	DET
ejpam-4087	114	2	parametric	parametric	ADJ
ejpam-4087	114	3	form	form	NOUN
ejpam-4087	114	4	of	of	ADP
ejpam-4087	114	5	the	the	DET
ejpam-4087	114	6	given	give	VERB
ejpam-4087	114	7	fsvides	fsvide	NOUN
ejpam-4087	114	8	(	(	PUNCT
ejpam-4087	114	9	1	1	NUM
ejpam-4087	114	10	)	)	PUNCT
ejpam-4087	114	11	can	can	AUX
ejpam-4087	114	12	be	be	AUX
ejpam-4087	114	13	written	write	VERB
ejpam-4087	114	14	as	as	PROPN
ejpam-4087	114	15	u′′i	u′′i	PROPN
ejpam-4087	114	16	(	(	PUNCT
ejpam-4087	114	17	x	x	NOUN
ejpam-4087	114	18	,	,	PUNCT
ejpam-4087	114	19	α	α	NOUN
ejpam-4087	114	20	)	)	PUNCT
ejpam-4087	115	1	=	=	NOUN
ejpam-4087	115	2	fi	fi	NOUN
ejpam-4087	115	3	(	(	PUNCT
ejpam-4087	115	4	x	x	NOUN
ejpam-4087	115	5	,	,	PUNCT
ejpam-4087	115	6	α	α	NOUN
ejpam-4087	115	7	)	)	PUNCT
ejpam-4087	115	8	+	+	NOUN
ejpam-4087	116	1	2∑	2∑	NUM
ejpam-4087	116	2	j=1	j=1	NOUN
ejpam-4087	116	3	λij	λij	X
ejpam-4087	116	4	∫	∫	PROPN
ejpam-4087	116	5	x	x	SYM
ejpam-4087	116	6	0	0	PUNCT
ejpam-4087	116	7	kij	kij	PROPN
ejpam-4087	116	8	(	(	PUNCT
ejpam-4087	116	9	x	x	X
ejpam-4087	116	10	,	,	PUNCT
ejpam-4087	116	11	t)fij	t)fij	PROPN
ejpam-4087	116	12	(	(	PUNCT
ejpam-4087	116	13	u	u	PROPN
ejpam-4087	116	14	(	(	PUNCT
ejpam-4087	116	15	t	t	PROPN
ejpam-4087	116	16	,	,	PUNCT
ejpam-4087	116	17	α	α	NOUN
ejpam-4087	116	18	)	)	PUNCT
ejpam-4087	116	19	)	)	PUNCT
ejpam-4087	117	1	dt	dt	PROPN
ejpam-4087	117	2	,	,	PUNCT
ejpam-4087	117	3	u′′i	u′′i	PROPN
ejpam-4087	117	4	(	(	PUNCT
ejpam-4087	117	5	x	x	NOUN
ejpam-4087	117	6	,	,	PUNCT
ejpam-4087	117	7	α	α	NOUN
ejpam-4087	117	8	)	)	PUNCT
ejpam-4087	117	9	=	=	NOUN
ejpam-4087	117	10	fi	fi	NOUN
ejpam-4087	117	11	(	(	PUNCT
ejpam-4087	117	12	x	x	NOUN
ejpam-4087	117	13	,	,	PUNCT
ejpam-4087	117	14	α	α	NOUN
ejpam-4087	117	15	)	)	PUNCT
ejpam-4087	118	1	+	+	NOUN
ejpam-4087	119	1	2∑	2∑	NUM
ejpam-4087	119	2	j=1	j=1	NOUN
ejpam-4087	119	3	λij	λij	X
ejpam-4087	119	4	∫	∫	PROPN
ejpam-4087	119	5	x	x	SYM
ejpam-4087	119	6	0	0	PUNCT
ejpam-4087	119	7	kij	kij	PROPN
ejpam-4087	119	8	(	(	PUNCT
ejpam-4087	119	9	x	x	X
ejpam-4087	119	10	,	,	PUNCT
ejpam-4087	119	11	t)fij	t)fij	PROPN
ejpam-4087	119	12	(	(	PUNCT
ejpam-4087	119	13	u	u	PROPN
ejpam-4087	119	14	(	(	PUNCT
ejpam-4087	119	15	t	t	PROPN
ejpam-4087	119	16	,	,	PUNCT
ejpam-4087	119	17	α	α	NOUN
ejpam-4087	119	18	)	)	PUNCT
ejpam-4087	119	19	)	)	PUNCT
ejpam-4087	120	1	dt	dt	PROPN
ejpam-4087	120	2	,	,	PUNCT
ejpam-4087	120	3	i	i	PRON
ejpam-4087	120	4	=	=	NOUN
ejpam-4087	120	5	1	1	NUM
ejpam-4087	120	6	,	,	PUNCT
ejpam-4087	120	7	2	2	NUM
ejpam-4087	120	8	(	(	PUNCT
ejpam-4087	120	9	3	3	NUM
ejpam-4087	120	10	)	)	PUNCT
ejpam-4087	120	11	4	4	NUM
ejpam-4087	120	12	.	.	X
ejpam-4087	120	13	adomian	adomian	NOUN
ejpam-4087	120	14	decomposition	decomposition	NOUN
ejpam-4087	120	15	method	method	NOUN
ejpam-4087	120	16	the	the	DET
ejpam-4087	120	17	adomian	adomian	NOUN
ejpam-4087	120	18	decomposition	decomposition	NOUN
ejpam-4087	120	19	method	method	NOUN
ejpam-4087	120	20	gives	give	VERB
ejpam-4087	120	21	the	the	DET
ejpam-4087	120	22	solution	solution	NOUN
ejpam-4087	120	23	of	of	ADP
ejpam-4087	120	24	the	the	DET
ejpam-4087	120	25	fsvides	fsvide	NOUN
ejpam-4087	120	26	(	(	PUNCT
ejpam-4087	120	27	1	1	NUM
ejpam-4087	120	28	)	)	PUNCT
ejpam-4087	120	29	as	as	ADP
ejpam-4087	120	30	an	an	DET
ejpam-4087	120	31	infinite	infinite	ADJ
ejpam-4087	120	32	series	series	NOUN
ejpam-4087	120	33	usually	usually	ADV
ejpam-4087	120	34	converging	converge	VERB
ejpam-4087	120	35	to	to	ADP
ejpam-4087	120	36	the	the	DET
ejpam-4087	120	37	closed	closed	ADJ
ejpam-4087	120	38	form	form	NOUN
ejpam-4087	120	39	solution	solution	NOUN
ejpam-4087	120	40	.	.	PUNCT
ejpam-4087	121	1	to	to	PART
ejpam-4087	121	2	solve	solve	VERB
ejpam-4087	121	3	the	the	DET
ejpam-4087	121	4	fsvides	fsvide	NOUN
ejpam-4087	121	5	(	(	PUNCT
ejpam-4087	121	6	1	1	NUM
ejpam-4087	121	7	)	)	PUNCT
ejpam-4087	121	8	and	and	CCONJ
ejpam-4087	121	9	(	(	PUNCT
ejpam-4087	121	10	2	2	NUM
ejpam-4087	121	11	)	)	PUNCT
ejpam-4087	121	12	by	by	ADP
ejpam-4087	121	13	the	the	DET
ejpam-4087	121	14	adomian	adomian	NOUN
ejpam-4087	121	15	’s	’s	PART
ejpam-4087	121	16	technique	technique	NOUN
ejpam-4087	121	17	,	,	PUNCT
ejpam-4087	121	18	assume	assume	VERB
ejpam-4087	121	19	an	an	DET
ejpam-4087	121	20	infinite	infinite	ADJ
ejpam-4087	121	21	series	series	NOUN
ejpam-4087	121	22	solution	solution	NOUN
ejpam-4087	121	23	for	for	ADP
ejpam-4087	121	24	the	the	DET
ejpam-4087	121	25	unknowns	unknown	NOUN
ejpam-4087	121	26	functions	function	NOUN
ejpam-4087	121	27	ũi	ũi	PROPN
ejpam-4087	121	28	(	(	PUNCT
ejpam-4087	121	29	x	x	NOUN
ejpam-4087	121	30	,	,	PUNCT
ejpam-4087	121	31	α	α	NOUN
ejpam-4087	121	32	)	)	PUNCT
ejpam-4087	121	33	=	=	SYM
ejpam-4087	121	34	[	[	PUNCT
ejpam-4087	121	35	ui	ui	NOUN
ejpam-4087	121	36	(	(	PUNCT
ejpam-4087	121	37	x	x	NOUN
ejpam-4087	121	38	,	,	PUNCT
ejpam-4087	121	39	α	α	NOUN
ejpam-4087	121	40	)	)	PUNCT
ejpam-4087	121	41	,	,	PUNCT
ejpam-4087	121	42	ui	ui	PROPN
ejpam-4087	121	43	(	(	PUNCT
ejpam-4087	121	44	x	x	NOUN
ejpam-4087	121	45	,	,	PUNCT
ejpam-4087	121	46	α	α	NOUN
ejpam-4087	121	47	)	)	PUNCT
ejpam-4087	121	48	]	]	PUNCT
ejpam-4087	121	49	,	,	PUNCT
ejpam-4087	121	50	i	i	PRON
ejpam-4087	121	51	=	=	NOUN
ejpam-4087	121	52	1	1	NUM
ejpam-4087	121	53	,	,	PUNCT
ejpam-4087	121	54	2	2	NUM
ejpam-4087	121	55	given	give	VERB
ejpam-4087	121	56	by	by	ADP
ejpam-4087	121	57	[	[	X
ejpam-4087	121	58	19	19	NUM
ejpam-4087	121	59	,	,	PUNCT
ejpam-4087	121	60	21	21	NUM
ejpam-4087	121	61	,	,	PUNCT
ejpam-4087	121	62	23	23	NUM
ejpam-4087	121	63	]	]	PUNCT
ejpam-4087	121	64	as	as	SCONJ
ejpam-4087	121	65	follows	follow	VERB
ejpam-4087	121	66	ui	ui	PROPN
ejpam-4087	121	67	(	(	PUNCT
ejpam-4087	121	68	x	x	NOUN
ejpam-4087	121	69	,	,	PUNCT
ejpam-4087	121	70	α	α	NOUN
ejpam-4087	121	71	)	)	PUNCT
ejpam-4087	121	72	=	=	SYM
ejpam-4087	122	1	∞∑	∞∑	PRON
ejpam-4087	122	2	n=0	n=0	NUM
ejpam-4087	122	3	ui	ui	NOUN
ejpam-4087	122	4	,	,	PUNCT
ejpam-4087	122	5	n	n	PROPN
ejpam-4087	122	6	(	(	PUNCT
ejpam-4087	122	7	x	x	NOUN
ejpam-4087	122	8	,	,	PUNCT
ejpam-4087	122	9	α	α	NOUN
ejpam-4087	122	10	)	)	PUNCT
ejpam-4087	122	11	,	,	PUNCT
ejpam-4087	122	12	ui	ui	PROPN
ejpam-4087	122	13	(	(	PUNCT
ejpam-4087	122	14	x	x	NOUN
ejpam-4087	122	15	,	,	PUNCT
ejpam-4087	122	16	α	α	NOUN
ejpam-4087	122	17	)	)	PUNCT
ejpam-4087	122	18	=	=	SYM
ejpam-4087	123	1	∞∑	∞∑	PRON
ejpam-4087	123	2	n=0	n=0	NUM
ejpam-4087	123	3	ui	ui	NOUN
ejpam-4087	123	4	,	,	PUNCT
ejpam-4087	123	5	n	n	PROPN
ejpam-4087	123	6	(	(	PUNCT
ejpam-4087	123	7	x	x	NOUN
ejpam-4087	123	8	,	,	PUNCT
ejpam-4087	123	9	α	α	NOUN
ejpam-4087	123	10	)	)	PUNCT
ejpam-4087	123	11	,	,	PUNCT
ejpam-4087	123	12	i	i	PRON
ejpam-4087	123	13	=	=	NOUN
ejpam-4087	123	14	1	1	NUM
ejpam-4087	123	15	,	,	PUNCT
ejpam-4087	123	16	2	2	NUM
ejpam-4087	123	17	(	(	PUNCT
ejpam-4087	123	18	4	4	NUM
ejpam-4087	123	19	)	)	PUNCT
ejpam-4087	123	20	and	and	CCONJ
ejpam-4087	123	21	decomposing	decompose	VERB
ejpam-4087	123	22	non	non	ADJ
ejpam-4087	123	23	-	-	ADJ
ejpam-4087	123	24	linear	linear	ADJ
ejpam-4087	123	25	functions	function	NOUN
ejpam-4087	123	26	f̃ij	f̃ij	PROPN
ejpam-4087	123	27	(	(	PUNCT
ejpam-4087	123	28	ũ	ũ	PROPN
ejpam-4087	123	29	(	(	PUNCT
ejpam-4087	123	30	t	t	PROPN
ejpam-4087	123	31	,	,	PUNCT
ejpam-4087	123	32	α	α	NOUN
ejpam-4087	123	33	)	)	PUNCT
ejpam-4087	123	34	)	)	PUNCT
ejpam-4087	124	1	=	=	PUNCT
ejpam-4087	124	2	[	[	PUNCT
ejpam-4087	124	3	fij	fij	PROPN
ejpam-4087	124	4	(	(	PUNCT
ejpam-4087	124	5	u	u	PROPN
ejpam-4087	124	6	(	(	PUNCT
ejpam-4087	124	7	t	t	PROPN
ejpam-4087	124	8	,	,	PUNCT
ejpam-4087	124	9	α	α	NOUN
ejpam-4087	124	10	)	)	PUNCT
ejpam-4087	124	11	)	)	PUNCT
ejpam-4087	124	12	,	,	PUNCT
ejpam-4087	124	13	fij	fij	PROPN
ejpam-4087	124	14	(	(	PUNCT
ejpam-4087	124	15	u	u	PROPN
ejpam-4087	124	16	(	(	PUNCT
ejpam-4087	124	17	t	t	PROPN
ejpam-4087	124	18	,	,	PUNCT
ejpam-4087	124	19	α	α	NOUN
ejpam-4087	124	20	)	)	PUNCT
ejpam-4087	124	21	)	)	PUNCT
ejpam-4087	124	22	]	]	PUNCT
ejpam-4087	124	23	,	,	PUNCT
ejpam-4087	124	24	i	i	PRON
ejpam-4087	124	25	,	,	PUNCT
ejpam-4087	124	26	j	j	PROPN
ejpam-4087	124	27	=	=	SYM
ejpam-4087	124	28	1	1	NUM
ejpam-4087	124	29	,	,	PUNCT
ejpam-4087	124	30	2	2	NUM
ejpam-4087	124	31	as	as	ADP
ejpam-4087	124	32	fij	fij	PROPN
ejpam-4087	124	33	(	(	PUNCT
ejpam-4087	124	34	u	u	PROPN
ejpam-4087	124	35	(	(	PUNCT
ejpam-4087	124	36	t	t	PROPN
ejpam-4087	124	37	,	,	PUNCT
ejpam-4087	124	38	α	α	NOUN
ejpam-4087	124	39	)	)	PUNCT
ejpam-4087	124	40	)	)	PUNCT
ejpam-4087	125	1	=	=	PUNCT
ejpam-4087	126	1	∞∑	∞∑	NUM
ejpam-4087	126	2	n=0	n=0	NUM
ejpam-4087	126	3	aij	aij	NOUN
ejpam-4087	126	4	,	,	PUNCT
ejpam-4087	126	5	n	n	CCONJ
ejpam-4087	126	6	,	,	PUNCT
ejpam-4087	126	7	fij	fij	PROPN
ejpam-4087	126	8	(	(	PUNCT
ejpam-4087	126	9	u	u	PROPN
ejpam-4087	126	10	(	(	PUNCT
ejpam-4087	126	11	t	t	PROPN
ejpam-4087	126	12	,	,	PUNCT
ejpam-4087	126	13	α	α	NOUN
ejpam-4087	126	14	)	)	PUNCT
ejpam-4087	126	15	)	)	PUNCT
ejpam-4087	127	1	=	=	PUNCT
ejpam-4087	128	1	∞∑	∞∑	NUM
ejpam-4087	128	2	n=0	n=0	NUM
ejpam-4087	128	3	aij	aij	NOUN
ejpam-4087	128	4	,	,	PUNCT
ejpam-4087	128	5	n	n	CCONJ
ejpam-4087	128	6	,	,	PUNCT
ejpam-4087	128	7	i	i	PRON
ejpam-4087	128	8	,	,	PUNCT
ejpam-4087	128	9	j	j	PROPN
ejpam-4087	128	10	=	=	SYM
ejpam-4087	128	11	1	1	NUM
ejpam-4087	128	12	,	,	PUNCT
ejpam-4087	128	13	2	2	NUM
ejpam-4087	128	14	(	(	PUNCT
ejpam-4087	128	15	5	5	NUM
ejpam-4087	128	16	)	)	PUNCT
ejpam-4087	128	17	m.	m.	NOUN
ejpam-4087	128	18	t.	t.	PROPN
ejpam-4087	128	19	younis	younis	PROPN
ejpam-4087	128	20	,	,	PUNCT
ejpam-4087	128	21	w.	w.	PROPN
ejpam-4087	128	22	al	al	PROPN
ejpam-4087	128	23	-	-	PUNCT
ejpam-4087	128	24	hayani	hayani	PROPN
ejpam-4087	128	25	/	/	SYM
ejpam-4087	128	26	eur	eur	PROPN
ejpam-4087	128	27	.	.	PUNCT
ejpam-4087	129	1	j.	j.	PROPN
ejpam-4087	129	2	pure	pure	PROPN
ejpam-4087	129	3	appl	appl	PROPN
ejpam-4087	129	4	.	.	PROPN
ejpam-4087	129	5	math	math	PROPN
ejpam-4087	129	6	,	,	PUNCT
ejpam-4087	129	7	15	15	NUM
ejpam-4087	129	8	(	(	PUNCT
ejpam-4087	129	9	1	1	NUM
ejpam-4087	129	10	)	)	PUNCT
ejpam-4087	129	11	(	(	PUNCT
ejpam-4087	129	12	2022	2022	NUM
ejpam-4087	129	13	)	)	PUNCT
ejpam-4087	129	14	,	,	PUNCT
ejpam-4087	129	15	290	290	NUM
ejpam-4087	129	16	-	-	SYM
ejpam-4087	129	17	313	313	NUM
ejpam-4087	129	18	295	295	NUM
ejpam-4087	129	19	where	where	SCONJ
ejpam-4087	129	20	ãij	ãij	PROPN
ejpam-4087	129	21	,	,	PUNCT
ejpam-4087	129	22	n	n	NOUN
ejpam-4087	129	23	=	=	X
ejpam-4087	129	24	[	[	PUNCT
ejpam-4087	129	25	aij	aij	PROPN
ejpam-4087	129	26	,	,	PUNCT
ejpam-4087	129	27	n	n	CCONJ
ejpam-4087	129	28	,	,	PUNCT
ejpam-4087	129	29	aij	aij	NOUN
ejpam-4087	129	30	,	,	PUNCT
ejpam-4087	129	31	n	n	X
ejpam-4087	129	32	]	]	PUNCT
ejpam-4087	129	33	,	,	PUNCT
ejpam-4087	129	34	n	n	X
ejpam-4087	129	35	≥	≥	NOUN
ejpam-4087	129	36	0	0	NUM
ejpam-4087	129	37	,	,	PUNCT
ejpam-4087	129	38	are	be	AUX
ejpam-4087	129	39	polynomials	polynomial	NOUN
ejpam-4087	129	40	(	(	PUNCT
ejpam-4087	129	41	so	so	ADV
ejpam-4087	129	42	called	call	VERB
ejpam-4087	129	43	adomian	adomian	NOUN
ejpam-4087	129	44	polynomials	polynomial	NOUN
ejpam-4087	129	45	)	)	PUNCT
ejpam-4087	130	1	[	[	X
ejpam-4087	130	2	3–6	3–6	NUM
ejpam-4087	130	3	]	]	PUNCT
ejpam-4087	130	4	of	of	ADP
ejpam-4087	130	5	ũi,0	ũi,0	PROPN
ejpam-4087	130	6	(	(	PUNCT
ejpam-4087	130	7	t	t	PROPN
ejpam-4087	130	8	,	,	PUNCT
ejpam-4087	130	9	α	α	NOUN
ejpam-4087	130	10	)	)	PUNCT
ejpam-4087	130	11	,	,	PUNCT
ejpam-4087	130	12	ũi,1	ũi,1	PROPN
ejpam-4087	130	13	(	(	PUNCT
ejpam-4087	130	14	t	t	PROPN
ejpam-4087	130	15	,	,	PUNCT
ejpam-4087	130	16	α	α	NOUN
ejpam-4087	130	17	)	)	PUNCT
ejpam-4087	130	18	,	,	PUNCT
ejpam-4087	130	19	.	.	PUNCT
ejpam-4087	130	20	.	.	PUNCT
ejpam-4087	130	21	.	.	PUNCT
ejpam-4087	131	1	,	,	PUNCT
ejpam-4087	131	2	ũi	ũi	PROPN
ejpam-4087	131	3	,	,	PUNCT
ejpam-4087	131	4	n	n	PROPN
ejpam-4087	131	5	(	(	PUNCT
ejpam-4087	131	6	t	t	PROPN
ejpam-4087	131	7	,	,	PUNCT
ejpam-4087	131	8	α	α	NOUN
ejpam-4087	131	9	)	)	PUNCT
ejpam-4087	131	10	,	,	PUNCT
ejpam-4087	131	11	i	i	PRON
ejpam-4087	131	12	=	=	NOUN
ejpam-4087	131	13	1	1	NUM
ejpam-4087	131	14	,	,	PUNCT
ejpam-4087	131	15	2	2	NUM
ejpam-4087	131	16	given	give	VERB
ejpam-4087	131	17	by	by	ADP
ejpam-4087	131	18	aij	aij	PROPN
ejpam-4087	131	19	,	,	PUNCT
ejpam-4087	131	20	n	n	NOUN
ejpam-4087	131	21	=	=	SYM
ejpam-4087	131	22	1	1	NUM
ejpam-4087	131	23	n	n	NOUN
ejpam-4087	131	24	!	!	PUNCT
ejpam-4087	132	1	∂n	∂n	PROPN
ejpam-4087	132	2	∂λn	∂λn	PROPN
ejpam-4087	132	3	[	[	PUNCT
ejpam-4087	132	4	f	f	X
ejpam-4087	132	5	(	(	PUNCT
ejpam-4087	132	6	∞∑	∞∑	DET
ejpam-4087	132	7	k=0	k=0	PROPN
ejpam-4087	132	8	λiui	λiui	NOUN
ejpam-4087	132	9	,	,	PUNCT
ejpam-4087	132	10	k	k	PROPN
ejpam-4087	132	11	(	(	PUNCT
ejpam-4087	132	12	t	t	PROPN
ejpam-4087	132	13	,	,	PUNCT
ejpam-4087	132	14	α	α	NOUN
ejpam-4087	132	15	)	)	PUNCT
ejpam-4087	132	16	)	)	PUNCT
ejpam-4087	132	17	]	]	PUNCT
ejpam-4087	133	1	λ=0	λ=0	X
ejpam-4087	133	2	,	,	PUNCT
ejpam-4087	133	3	aij	aij	PROPN
ejpam-4087	133	4	,	,	PUNCT
ejpam-4087	133	5	n	n	NOUN
ejpam-4087	133	6	=	=	SYM
ejpam-4087	133	7	1	1	NUM
ejpam-4087	133	8	n	n	NOUN
ejpam-4087	133	9	!	!	PUNCT
ejpam-4087	134	1	∂n	∂n	PROPN
ejpam-4087	134	2	∂λn	∂λn	PROPN
ejpam-4087	134	3	[	[	PUNCT
ejpam-4087	134	4	f	f	X
ejpam-4087	134	5	(	(	PUNCT
ejpam-4087	134	6	∞∑	∞∑	DET
ejpam-4087	134	7	k=0	k=0	PROPN
ejpam-4087	134	8	λiui	λiui	NOUN
ejpam-4087	134	9	,	,	PUNCT
ejpam-4087	134	10	k	k	PROPN
ejpam-4087	134	11	(	(	PUNCT
ejpam-4087	134	12	t	t	PROPN
ejpam-4087	134	13	,	,	PUNCT
ejpam-4087	134	14	α	α	NOUN
ejpam-4087	134	15	)	)	PUNCT
ejpam-4087	134	16	)	)	PUNCT
ejpam-4087	134	17	]	]	PUNCT
ejpam-4087	135	1	λ=0	λ=0	X
ejpam-4087	135	2	,	,	PUNCT
ejpam-4087	135	3	i	i	PRON
ejpam-4087	135	4	,	,	PUNCT
ejpam-4087	135	5	j	j	PROPN
ejpam-4087	135	6	=	=	SYM
ejpam-4087	135	7	1	1	NUM
ejpam-4087	135	8	,	,	PUNCT
ejpam-4087	135	9	2	2	NUM
ejpam-4087	135	10	n	n	NOUN
ejpam-4087	135	11	=	=	SYM
ejpam-4087	135	12	0	0	NUM
ejpam-4087	135	13	,	,	PUNCT
ejpam-4087	135	14	1	1	NUM
ejpam-4087	135	15	,	,	PUNCT
ejpam-4087	135	16	2	2	NUM
ejpam-4087	135	17	,	,	PUNCT
ejpam-4087	135	18	.	.	PUNCT
ejpam-4087	135	19	.	.	PUNCT
ejpam-4087	135	20	.	.	PUNCT
ejpam-4087	136	1	(	(	PUNCT
ejpam-4087	136	2	6	6	X
ejpam-4087	136	3	)	)	PUNCT
ejpam-4087	136	4	applying	apply	VERB
ejpam-4087	136	5	the	the	DET
ejpam-4087	136	6	adomian	adomian	NOUN
ejpam-4087	136	7	’s	’s	PART
ejpam-4087	136	8	technique	technique	NOUN
ejpam-4087	136	9	as	as	ADP
ejpam-4087	136	10	in	in	ADP
ejpam-4087	136	11	[	[	X
ejpam-4087	136	12	4–6	4–6	NOUN
ejpam-4087	136	13	]	]	X
ejpam-4087	136	14	,	,	PUNCT
ejpam-4087	136	15	the	the	DET
ejpam-4087	136	16	fsvides	fsvide	NOUN
ejpam-4087	136	17	(	(	PUNCT
ejpam-4087	136	18	3	3	NUM
ejpam-4087	136	19	)	)	PUNCT
ejpam-4087	136	20	can	can	AUX
ejpam-4087	136	21	be	be	AUX
ejpam-4087	136	22	written	write	VERB
ejpam-4087	136	23	as	as	PROPN
ejpam-4087	136	24	lui	lui	X
ejpam-4087	136	25	(	(	PUNCT
ejpam-4087	136	26	x	x	NOUN
ejpam-4087	136	27	,	,	PUNCT
ejpam-4087	136	28	α	α	NOUN
ejpam-4087	136	29	)	)	PUNCT
ejpam-4087	136	30	=	=	NOUN
ejpam-4087	136	31	fi	fi	NOUN
ejpam-4087	136	32	(	(	PUNCT
ejpam-4087	136	33	x	x	NOUN
ejpam-4087	136	34	,	,	PUNCT
ejpam-4087	136	35	α	α	NOUN
ejpam-4087	136	36	)	)	PUNCT
ejpam-4087	137	1	+	+	NOUN
ejpam-4087	138	1	2∑	2∑	NUM
ejpam-4087	138	2	j=1	j=1	NOUN
ejpam-4087	138	3	λij	λij	X
ejpam-4087	138	4	∫	∫	PROPN
ejpam-4087	138	5	x	x	SYM
ejpam-4087	138	6	0	0	PUNCT
ejpam-4087	138	7	kij	kij	PROPN
ejpam-4087	138	8	(	(	PUNCT
ejpam-4087	138	9	x	x	X
ejpam-4087	138	10	,	,	PUNCT
ejpam-4087	138	11	t)nijdt	t)nijdt	PROPN
ejpam-4087	138	12	,	,	PUNCT
ejpam-4087	138	13	lui	lui	X
ejpam-4087	138	14	(	(	PUNCT
ejpam-4087	138	15	x	x	NOUN
ejpam-4087	138	16	,	,	PUNCT
ejpam-4087	138	17	α	α	NOUN
ejpam-4087	138	18	)	)	PUNCT
ejpam-4087	138	19	=	=	NOUN
ejpam-4087	138	20	fi	fi	NOUN
ejpam-4087	138	21	(	(	PUNCT
ejpam-4087	138	22	x	x	NOUN
ejpam-4087	138	23	,	,	PUNCT
ejpam-4087	138	24	α	α	NOUN
ejpam-4087	138	25	)	)	PUNCT
ejpam-4087	138	26	+	+	NOUN
ejpam-4087	138	27	2∑	2∑	NUM
ejpam-4087	138	28	j=1	j=1	NOUN
ejpam-4087	139	1	λij	λij	X
ejpam-4087	140	1	∫	∫	PROPN
ejpam-4087	141	1	x	x	SYM
ejpam-4087	142	1	0	0	PUNCT
ejpam-4087	143	1	kij	kij	PROPN
ejpam-4087	143	2	(	(	PUNCT
ejpam-4087	143	3	x	x	X
ejpam-4087	143	4	,	,	PUNCT
ejpam-4087	143	5	t)nijdt	t)nijdt	PROPN
ejpam-4087	143	6	,	,	PUNCT
ejpam-4087	143	7	i	i	PRON
ejpam-4087	143	8	=	=	NOUN
ejpam-4087	143	9	1	1	NUM
ejpam-4087	143	10	,	,	PUNCT
ejpam-4087	143	11	2	2	NUM
ejpam-4087	143	12	(	(	PUNCT
ejpam-4087	143	13	7	7	NUM
ejpam-4087	143	14	)	)	PUNCT
ejpam-4087	143	15	where	where	SCONJ
ejpam-4087	143	16	lui	lui	X
ejpam-4087	143	17	(	(	PUNCT
ejpam-4087	143	18	x	x	NOUN
ejpam-4087	143	19	,	,	PUNCT
ejpam-4087	143	20	α	α	NOUN
ejpam-4087	143	21	)	)	PUNCT
ejpam-4087	143	22	=	=	PUNCT
ejpam-4087	143	23	d2ui	d2ui	X
ejpam-4087	143	24	dx2	dx2	PROPN
ejpam-4087	143	25	,	,	PUNCT
ejpam-4087	143	26	lui	lui	X
ejpam-4087	143	27	(	(	PUNCT
ejpam-4087	143	28	x	x	NOUN
ejpam-4087	143	29	,	,	PUNCT
ejpam-4087	143	30	α	α	NOUN
ejpam-4087	143	31	)	)	PUNCT
ejpam-4087	143	32	=	=	PUNCT
ejpam-4087	143	33	d2ui	d2ui	X
ejpam-4087	143	34	dx2	dx2	X
ejpam-4087	143	35	,	,	PUNCT
ejpam-4087	143	36	i	i	PRON
ejpam-4087	143	37	=	=	NOUN
ejpam-4087	143	38	1	1	NUM
ejpam-4087	143	39	,	,	PUNCT
ejpam-4087	143	40	2	2	NUM
ejpam-4087	143	41	are	be	AUX
ejpam-4087	143	42	the	the	DET
ejpam-4087	143	43	linear	linear	PROPN
ejpam-4087	143	44	operators	operator	NOUN
ejpam-4087	143	45	and	and	CCONJ
ejpam-4087	143	46	nij	nij	PROPN
ejpam-4087	143	47	=	=	PROPN
ejpam-4087	143	48	fij	fij	PROPN
ejpam-4087	143	49	(	(	PUNCT
ejpam-4087	143	50	u	u	PROPN
ejpam-4087	143	51	(	(	PUNCT
ejpam-4087	143	52	t	t	PROPN
ejpam-4087	143	53	,	,	PUNCT
ejpam-4087	143	54	α	α	NOUN
ejpam-4087	143	55	)	)	PUNCT
ejpam-4087	143	56	)	)	PUNCT
ejpam-4087	143	57	,	,	PUNCT
ejpam-4087	143	58	nij	nij	PROPN
ejpam-4087	143	59	=	=	PROPN
ejpam-4087	143	60	fij	fij	PROPN
ejpam-4087	143	61	(	(	PUNCT
ejpam-4087	143	62	u	u	PROPN
ejpam-4087	143	63	(	(	PUNCT
ejpam-4087	143	64	t	t	PROPN
ejpam-4087	143	65	,	,	PUNCT
ejpam-4087	143	66	α	α	NOUN
ejpam-4087	143	67	)	)	PUNCT
ejpam-4087	143	68	)	)	PUNCT
ejpam-4087	143	69	,	,	PUNCT
ejpam-4087	143	70	i	i	PRON
ejpam-4087	143	71	,	,	PUNCT
ejpam-4087	143	72	j	j	PROPN
ejpam-4087	143	73	=	=	SYM
ejpam-4087	143	74	1	1	NUM
ejpam-4087	143	75	,	,	PUNCT
ejpam-4087	143	76	2	2	NUM
ejpam-4087	143	77	are	be	AUX
ejpam-4087	143	78	the	the	DET
ejpam-4087	143	79	non	non	ADJ
ejpam-4087	143	80	-	-	ADJ
ejpam-4087	143	81	linear	linear	ADJ
ejpam-4087	143	82	operators	operator	NOUN
ejpam-4087	143	83	.	.	PUNCT
ejpam-4087	144	1	operating	operate	VERB
ejpam-4087	144	2	on	on	ADP
ejpam-4087	144	3	both	both	DET
ejpam-4087	144	4	sides	side	NOUN
ejpam-4087	144	5	of	of	ADP
ejpam-4087	144	6	the	the	DET
ejpam-4087	144	7	fsvides	fsvide	NOUN
ejpam-4087	144	8	(	(	PUNCT
ejpam-4087	144	9	7	7	NUM
ejpam-4087	144	10	)	)	PUNCT
ejpam-4087	144	11	with	with	ADP
ejpam-4087	144	12	the	the	DET
ejpam-4087	144	13	inverse	inverse	NOUN
ejpam-4087	144	14	operator	operator	NOUN
ejpam-4087	144	15	of	of	ADP
ejpam-4087	144	16	l	l	NOUN
ejpam-4087	144	17	(	(	PUNCT
ejpam-4087	144	18	namely	namely	ADV
ejpam-4087	144	19	l−1	l−1	PROPN
ejpam-4087	144	20	=	=	SYM
ejpam-4087	144	21	∫	∫	PROPN
ejpam-4087	144	22	x	x	SYM
ejpam-4087	144	23	0	0	NUM
ejpam-4087	144	24	∫	∫	PROPN
ejpam-4087	144	25	x	x	X
ejpam-4087	144	26	0	0	PUNCT
ejpam-4087	145	1	[	[	X
ejpam-4087	145	2	·	·	X
ejpam-4087	145	3	]	]	X
ejpam-4087	145	4	dtdt	dtdt	NOUN
ejpam-4087	145	5	)	)	PUNCT
ejpam-4087	146	1	yields	yields	PROPN
ejpam-4087	146	2	ui	ui	NOUN
ejpam-4087	147	1	(	(	PUNCT
ejpam-4087	147	2	x	x	NOUN
ejpam-4087	147	3	,	,	PUNCT
ejpam-4087	147	4	α	α	NOUN
ejpam-4087	147	5	)	)	PUNCT
ejpam-4087	147	6	=	=	SYM
ejpam-4087	147	7	ui	ui	PROPN
ejpam-4087	147	8	(	(	PUNCT
ejpam-4087	147	9	0	0	NUM
ejpam-4087	147	10	,	,	PUNCT
ejpam-4087	147	11	α	α	NOUN
ejpam-4087	147	12	)	)	PUNCT
ejpam-4087	148	1	+	+	CCONJ
ejpam-4087	148	2	u′i	u′i	ADJ
ejpam-4087	148	3	(	(	PUNCT
ejpam-4087	148	4	0	0	NUM
ejpam-4087	148	5	,	,	PUNCT
ejpam-4087	148	6	α)x+	α)x+	NUM
ejpam-4087	148	7	l−1fi	l−1fi	ADJ
ejpam-4087	148	8	(	(	PUNCT
ejpam-4087	148	9	x	x	NOUN
ejpam-4087	148	10	,	,	PUNCT
ejpam-4087	148	11	α	α	NOUN
ejpam-4087	148	12	)	)	PUNCT
ejpam-4087	148	13	+	+	CCONJ
ejpam-4087	149	1	l−1	l−1	PROPN
ejpam-4087	149	2	[	[	PUNCT
ejpam-4087	149	3	2∑	2∑	NUM
ejpam-4087	149	4	j=1	j=1	NOUN
ejpam-4087	149	5	λij	λij	PROPN
ejpam-4087	149	6	∫	∫	PROPN
ejpam-4087	149	7	x	x	SYM
ejpam-4087	149	8	0	0	PUNCT
ejpam-4087	149	9	kij	kij	PROPN
ejpam-4087	149	10	(	(	PUNCT
ejpam-4087	149	11	x	x	X
ejpam-4087	149	12	,	,	PUNCT
ejpam-4087	149	13	t)nijdt	t)nijdt	PROPN
ejpam-4087	149	14	]	]	PUNCT
ejpam-4087	149	15	,	,	PUNCT
ejpam-4087	149	16	ui	ui	PROPN
ejpam-4087	149	17	(	(	PUNCT
ejpam-4087	149	18	x	x	NOUN
ejpam-4087	149	19	,	,	PUNCT
ejpam-4087	149	20	α	α	NOUN
ejpam-4087	149	21	)	)	PUNCT
ejpam-4087	149	22	=	=	SYM
ejpam-4087	149	23	ui	ui	PROPN
ejpam-4087	149	24	(	(	PUNCT
ejpam-4087	149	25	0	0	NUM
ejpam-4087	149	26	,	,	PUNCT
ejpam-4087	149	27	α	α	NOUN
ejpam-4087	149	28	)	)	PUNCT
ejpam-4087	149	29	+	+	CCONJ
ejpam-4087	149	30	u′i	u′i	ADJ
ejpam-4087	149	31	(	(	PUNCT
ejpam-4087	149	32	0	0	NUM
ejpam-4087	149	33	,	,	PUNCT
ejpam-4087	149	34	α)x+	α)x+	NUM
ejpam-4087	149	35	l−1fi	l−1fi	ADJ
ejpam-4087	149	36	(	(	PUNCT
ejpam-4087	149	37	x	x	NOUN
ejpam-4087	149	38	,	,	PUNCT
ejpam-4087	149	39	α	α	NOUN
ejpam-4087	149	40	)	)	PUNCT
ejpam-4087	149	41	+	+	CCONJ
ejpam-4087	150	1	l−1	l−1	PROPN
ejpam-4087	150	2	[	[	PUNCT
ejpam-4087	150	3	2∑	2∑	NUM
ejpam-4087	150	4	j=1	j=1	NOUN
ejpam-4087	150	5	λij	λij	PROPN
ejpam-4087	150	6	∫	∫	PROPN
ejpam-4087	150	7	x	x	SYM
ejpam-4087	150	8	0	0	PUNCT
ejpam-4087	150	9	kij	kij	PROPN
ejpam-4087	150	10	(	(	PUNCT
ejpam-4087	150	11	x	x	X
ejpam-4087	150	12	,	,	PUNCT
ejpam-4087	150	13	t)nijdt	t)nijdt	PROPN
ejpam-4087	150	14	]	]	PUNCT
ejpam-4087	150	15	,	,	PUNCT
ejpam-4087	150	16	i	i	PRON
ejpam-4087	150	17	=	=	NOUN
ejpam-4087	150	18	1	1	NUM
ejpam-4087	150	19	,	,	PUNCT
ejpam-4087	150	20	2	2	NUM
ejpam-4087	150	21	(	(	PUNCT
ejpam-4087	150	22	8)	8)	NUM
ejpam-4087	150	23	using	use	VERB
ejpam-4087	150	24	(	(	PUNCT
ejpam-4087	150	25	4	4	NUM
ejpam-4087	150	26	)	)	PUNCT
ejpam-4087	150	27	and	and	CCONJ
ejpam-4087	150	28	(	(	PUNCT
ejpam-4087	150	29	5	5	NUM
ejpam-4087	150	30	)	)	PUNCT
ejpam-4087	150	31	into	into	ADP
ejpam-4087	150	32	the	the	DET
ejpam-4087	150	33	fsvides	fsvide	NOUN
ejpam-4087	150	34	(	(	PUNCT
ejpam-4087	150	35	8)	8)	NUM
ejpam-4087	150	36	it	it	PRON
ejpam-4087	150	37	follows	follow	VERB
ejpam-4087	150	38	that	that	PROPN
ejpam-4087	150	39	∞∑	∞∑	PROPN
ejpam-4087	150	40	n=0	n=0	PROPN
ejpam-4087	150	41	ui	ui	NOUN
ejpam-4087	150	42	,	,	PUNCT
ejpam-4087	150	43	n	n	PROPN
ejpam-4087	150	44	(	(	PUNCT
ejpam-4087	150	45	x	x	NOUN
ejpam-4087	150	46	,	,	PUNCT
ejpam-4087	150	47	α	α	NOUN
ejpam-4087	150	48	)	)	PUNCT
ejpam-4087	150	49	=	=	SYM
ejpam-4087	150	50	ui	ui	PROPN
ejpam-4087	150	51	(	(	PUNCT
ejpam-4087	150	52	0	0	NUM
ejpam-4087	150	53	,	,	PUNCT
ejpam-4087	150	54	α	α	NOUN
ejpam-4087	150	55	)	)	PUNCT
ejpam-4087	151	1	+	+	CCONJ
ejpam-4087	151	2	u′i	u′i	ADJ
ejpam-4087	151	3	(	(	PUNCT
ejpam-4087	151	4	0	0	NUM
ejpam-4087	151	5	,	,	PUNCT
ejpam-4087	151	6	α)x+	α)x+	NUM
ejpam-4087	151	7	l−1fi	l−1fi	ADJ
ejpam-4087	151	8	(	(	PUNCT
ejpam-4087	151	9	x	x	NOUN
ejpam-4087	151	10	,	,	PUNCT
ejpam-4087	151	11	α	α	NOUN
ejpam-4087	151	12	)	)	PUNCT
ejpam-4087	151	13	+	+	CCONJ
ejpam-4087	152	1	l−1	l−1	PROPN
ejpam-4087	152	2	[	[	PUNCT
ejpam-4087	152	3	2∑	2∑	NUM
ejpam-4087	152	4	j=1	j=1	NOUN
ejpam-4087	152	5	λij	λij	PROPN
ejpam-4087	152	6	∫	∫	PROPN
ejpam-4087	152	7	x	x	SYM
ejpam-4087	152	8	0	0	PUNCT
ejpam-4087	152	9	kij	kij	PROPN
ejpam-4087	152	10	(	(	PUNCT
ejpam-4087	152	11	x	x	PROPN
ejpam-4087	152	12	,	,	PUNCT
ejpam-4087	152	13	t	t	PROPN
ejpam-4087	152	14	)	)	PUNCT
ejpam-4087	152	15	∞∑	∞∑	PROPN
ejpam-4087	152	16	n=0	n=0	NUM
ejpam-4087	152	17	aij	aij	NOUN
ejpam-4087	152	18	,	,	PUNCT
ejpam-4087	152	19	ndt	ndt	PROPN
ejpam-4087	152	20	]	]	PUNCT
ejpam-4087	152	21	,	,	PUNCT
ejpam-4087	152	22	∞∑	∞∑	PROPN
ejpam-4087	152	23	n=0	n=0	NUM
ejpam-4087	152	24	ui	ui	NOUN
ejpam-4087	152	25	,	,	PUNCT
ejpam-4087	152	26	n	n	PROPN
ejpam-4087	152	27	(	(	PUNCT
ejpam-4087	152	28	x	x	NOUN
ejpam-4087	152	29	,	,	PUNCT
ejpam-4087	152	30	α	α	NOUN
ejpam-4087	152	31	)	)	PUNCT
ejpam-4087	152	32	=	=	SYM
ejpam-4087	152	33	ui	ui	PROPN
ejpam-4087	152	34	(	(	PUNCT
ejpam-4087	152	35	0	0	NUM
ejpam-4087	152	36	,	,	PUNCT
ejpam-4087	152	37	α	α	NOUN
ejpam-4087	152	38	)	)	PUNCT
ejpam-4087	153	1	+	+	CCONJ
ejpam-4087	153	2	u′i	u′i	ADJ
ejpam-4087	153	3	(	(	PUNCT
ejpam-4087	153	4	0	0	NUM
ejpam-4087	153	5	,	,	PUNCT
ejpam-4087	153	6	α)x+	α)x+	NUM
ejpam-4087	153	7	l−1fi	l−1fi	ADJ
ejpam-4087	153	8	(	(	PUNCT
ejpam-4087	153	9	x	x	NOUN
ejpam-4087	153	10	,	,	PUNCT
ejpam-4087	153	11	α	α	NOUN
ejpam-4087	153	12	)	)	PUNCT
ejpam-4087	153	13	+	+	CCONJ
ejpam-4087	154	1	l−1	l−1	PROPN
ejpam-4087	154	2	[	[	PUNCT
ejpam-4087	154	3	2∑	2∑	NUM
ejpam-4087	154	4	j=1	j=1	NOUN
ejpam-4087	154	5	λij	λij	PROPN
ejpam-4087	154	6	∫	∫	PROPN
ejpam-4087	154	7	x	x	SYM
ejpam-4087	154	8	0	0	PUNCT
ejpam-4087	154	9	kij	kij	PROPN
ejpam-4087	154	10	(	(	PUNCT
ejpam-4087	154	11	x	x	PROPN
ejpam-4087	154	12	,	,	PUNCT
ejpam-4087	154	13	t	t	PROPN
ejpam-4087	154	14	)	)	PUNCT
ejpam-4087	154	15	∞∑	∞∑	PROPN
ejpam-4087	154	16	n=0	n=0	NUM
ejpam-4087	154	17	aij	aij	NOUN
ejpam-4087	154	18	,	,	PUNCT
ejpam-4087	154	19	ndt	ndt	PROPN
ejpam-4087	154	20	]	]	PUNCT
ejpam-4087	154	21	,	,	PUNCT
ejpam-4087	154	22	i	i	PRON
ejpam-4087	154	23	=	=	NOUN
ejpam-4087	154	24	1	1	NUM
ejpam-4087	154	25	,	,	PUNCT
ejpam-4087	154	26	2	2	NUM
ejpam-4087	154	27	(	(	PUNCT
ejpam-4087	154	28	9	9	NUM
ejpam-4087	154	29	)	)	PUNCT
ejpam-4087	154	30	using	use	VERB
ejpam-4087	154	31	the	the	DET
ejpam-4087	154	32	fuzzy	fuzzy	ADJ
ejpam-4087	154	33	standard	standard	PROPN
ejpam-4087	154	34	adm	adm	PROPN
ejpam-4087	154	35	,	,	PUNCT
ejpam-4087	154	36	according	accord	VERB
ejpam-4087	154	37	to	to	ADP
ejpam-4087	154	38	(	(	PUNCT
ejpam-4087	154	39	9	9	NUM
ejpam-4087	154	40	)	)	PUNCT
ejpam-4087	154	41	,	,	PUNCT
ejpam-4087	154	42	the	the	DET
ejpam-4087	154	43	lower	low	ADJ
ejpam-4087	154	44	iterations	iteration	NOUN
ejpam-4087	154	45	(	(	PUNCT
ejpam-4087	154	46	l	l	NOUN
ejpam-4087	154	47	)	)	PUNCT
ejpam-4087	154	48	are	be	AUX
ejpam-4087	154	49	then	then	ADV
ejpam-4087	154	50	determined	determined	ADJ
ejpam-4087	154	51	in	in	ADP
ejpam-4087	154	52	the	the	DET
ejpam-4087	154	53	following	follow	VERB
ejpam-4087	154	54	recursive	recursive	ADJ
ejpam-4087	154	55	way:	way:	NOUN
ejpam-4087	154	56	ui,0	ui,0	PROPN
ejpam-4087	154	57	(	(	PUNCT
ejpam-4087	154	58	x	x	X
ejpam-4087	154	59	,	,	PUNCT
ejpam-4087	154	60	α	α	NOUN
ejpam-4087	154	61	)	)	PUNCT
ejpam-4087	154	62	=	=	SYM
ejpam-4087	154	63	ui	ui	PROPN
ejpam-4087	154	64	(	(	PUNCT
ejpam-4087	154	65	0	0	NUM
ejpam-4087	154	66	,	,	PUNCT
ejpam-4087	154	67	α	α	NOUN
ejpam-4087	154	68	)	)	PUNCT
ejpam-4087	155	1	+	+	CCONJ
ejpam-4087	155	2	u′i	u′i	ADJ
ejpam-4087	155	3	(	(	PUNCT
ejpam-4087	155	4	0	0	NUM
ejpam-4087	155	5	,	,	PUNCT
ejpam-4087	155	6	α)x+	α)x+	NUM
ejpam-4087	155	7	l−1fi	l−1fi	ADJ
ejpam-4087	155	8	(	(	PUNCT
ejpam-4087	155	9	x	x	NOUN
ejpam-4087	155	10	,	,	PUNCT
ejpam-4087	155	11	α	α	NOUN
ejpam-4087	155	12	)	)	PUNCT
ejpam-4087	155	13	,	,	PUNCT
ejpam-4087	155	14	ui	ui	PROPN
ejpam-4087	155	15	,	,	PUNCT
ejpam-4087	155	16	n+1	n+1	PROPN
ejpam-4087	155	17	(	(	PUNCT
ejpam-4087	155	18	x	x	NOUN
ejpam-4087	155	19	,	,	PUNCT
ejpam-4087	155	20	α	α	NOUN
ejpam-4087	155	21	)	)	PUNCT
ejpam-4087	155	22	=	=	SYM
ejpam-4087	155	23	l−1	l−1	PROPN
ejpam-4087	155	24	[	[	PUNCT
ejpam-4087	155	25	2∑	2∑	NUM
ejpam-4087	155	26	j=1	j=1	NOUN
ejpam-4087	155	27	λij	λij	PROPN
ejpam-4087	155	28	∫	∫	PROPN
ejpam-4087	155	29	x	x	SYM
ejpam-4087	155	30	0	0	PUNCT
ejpam-4087	155	31	kij	kij	PROPN
ejpam-4087	155	32	(	(	PUNCT
ejpam-4087	155	33	x	x	NOUN
ejpam-4087	155	34	,	,	PUNCT
ejpam-4087	155	35	t)aij	t)aij	PROPN
ejpam-4087	155	36	,	,	PUNCT
ejpam-4087	155	37	ndt	ndt	PROPN
ejpam-4087	155	38	]	]	PUNCT
ejpam-4087	155	39	,	,	PUNCT
ejpam-4087	155	40	i	i	PRON
ejpam-4087	155	41	=	=	NOUN
ejpam-4087	155	42	1	1	NUM
ejpam-4087	155	43	,	,	PUNCT
ejpam-4087	155	44	2	2	NUM
ejpam-4087	155	45	n	n	NOUN
ejpam-4087	155	46	=	=	SYM
ejpam-4087	155	47	0	0	NUM
ejpam-4087	155	48	,	,	PUNCT
ejpam-4087	155	49	1	1	NUM
ejpam-4087	155	50	,	,	PUNCT
ejpam-4087	155	51	2	2	NUM
ejpam-4087	155	52	,	,	PUNCT
ejpam-4087	155	53	.	.	PUNCT
ejpam-4087	155	54	.	.	PUNCT
ejpam-4087	155	55	.	.	PUNCT
ejpam-4087	156	1	(	(	PUNCT
ejpam-4087	156	2	10	10	NUM
ejpam-4087	156	3	)	)	PUNCT
ejpam-4087	156	4	m.	m.	NOUN
ejpam-4087	156	5	t.	t.	PROPN
ejpam-4087	156	6	younis	younis	PROPN
ejpam-4087	156	7	,	,	PUNCT
ejpam-4087	156	8	w.	w.	PROPN
ejpam-4087	156	9	al	al	PROPN
ejpam-4087	156	10	-	-	PUNCT
ejpam-4087	156	11	hayani	hayani	PROPN
ejpam-4087	156	12	/	/	SYM
ejpam-4087	156	13	eur	eur	PROPN
ejpam-4087	156	14	.	.	PUNCT
ejpam-4087	157	1	j.	j.	PROPN
ejpam-4087	157	2	pure	pure	PROPN
ejpam-4087	157	3	appl	appl	PROPN
ejpam-4087	157	4	.	.	PROPN
ejpam-4087	157	5	math	math	PROPN
ejpam-4087	157	6	,	,	PUNCT
ejpam-4087	157	7	15	15	NUM
ejpam-4087	157	8	(	(	PUNCT
ejpam-4087	157	9	1	1	NUM
ejpam-4087	157	10	)	)	PUNCT
ejpam-4087	157	11	(	(	PUNCT
ejpam-4087	157	12	2022	2022	NUM
ejpam-4087	157	13	)	)	PUNCT
ejpam-4087	157	14	,	,	PUNCT
ejpam-4087	157	15	290	290	NUM
ejpam-4087	157	16	-	-	SYM
ejpam-4087	157	17	313	313	NUM
ejpam-4087	157	18	296	296	NUM
ejpam-4087	157	19	and	and	CCONJ
ejpam-4087	157	20	the	the	DET
ejpam-4087	157	21	upper	upper	ADJ
ejpam-4087	157	22	iterations	iteration	NOUN
ejpam-4087	157	23	(	(	PUNCT
ejpam-4087	157	24	u	u	NOUN
ejpam-4087	157	25	)	)	PUNCT
ejpam-4087	157	26	are	are	VERB
ejpam-4087	157	27	ui,0	ui,0	PROPN
ejpam-4087	157	28	(	(	PUNCT
ejpam-4087	157	29	x	x	X
ejpam-4087	157	30	,	,	PUNCT
ejpam-4087	157	31	α	α	NOUN
ejpam-4087	157	32	)	)	PUNCT
ejpam-4087	157	33	=	=	SYM
ejpam-4087	157	34	ui	ui	PROPN
ejpam-4087	157	35	(	(	PUNCT
ejpam-4087	157	36	0	0	NUM
ejpam-4087	157	37	,	,	PUNCT
ejpam-4087	157	38	α	α	NOUN
ejpam-4087	157	39	)	)	PUNCT
ejpam-4087	158	1	+	+	CCONJ
ejpam-4087	158	2	u′i	u′i	ADJ
ejpam-4087	158	3	(	(	PUNCT
ejpam-4087	158	4	0	0	NUM
ejpam-4087	158	5	,	,	PUNCT
ejpam-4087	158	6	α)x+	α)x+	NUM
ejpam-4087	158	7	l−1fi	l−1fi	ADJ
ejpam-4087	158	8	(	(	PUNCT
ejpam-4087	158	9	x	x	NOUN
ejpam-4087	158	10	,	,	PUNCT
ejpam-4087	158	11	α	α	NOUN
ejpam-4087	158	12	)	)	PUNCT
ejpam-4087	158	13	,	,	PUNCT
ejpam-4087	158	14	ui	ui	PROPN
ejpam-4087	158	15	,	,	PUNCT
ejpam-4087	158	16	n+1	n+1	PROPN
ejpam-4087	158	17	(	(	PUNCT
ejpam-4087	158	18	x	x	NOUN
ejpam-4087	158	19	,	,	PUNCT
ejpam-4087	158	20	α	α	NOUN
ejpam-4087	158	21	)	)	PUNCT
ejpam-4087	158	22	=	=	SYM
ejpam-4087	158	23	l−1	l−1	PROPN
ejpam-4087	158	24	[	[	PUNCT
ejpam-4087	158	25	2∑	2∑	NUM
ejpam-4087	158	26	j=1	j=1	NOUN
ejpam-4087	158	27	λij	λij	PROPN
ejpam-4087	158	28	∫	∫	PROPN
ejpam-4087	158	29	x	x	SYM
ejpam-4087	158	30	0	0	PUNCT
ejpam-4087	158	31	kij	kij	PROPN
ejpam-4087	158	32	(	(	PUNCT
ejpam-4087	158	33	x	x	NOUN
ejpam-4087	158	34	,	,	PUNCT
ejpam-4087	158	35	t)aij	t)aij	PROPN
ejpam-4087	158	36	,	,	PUNCT
ejpam-4087	158	37	ndt	ndt	PROPN
ejpam-4087	158	38	]	]	PUNCT
ejpam-4087	158	39	,	,	PUNCT
ejpam-4087	158	40	i	i	PRON
ejpam-4087	158	41	=	=	NOUN
ejpam-4087	158	42	1	1	NUM
ejpam-4087	158	43	,	,	PUNCT
ejpam-4087	158	44	2	2	NUM
ejpam-4087	158	45	n	n	NOUN
ejpam-4087	158	46	=	=	SYM
ejpam-4087	158	47	0	0	NUM
ejpam-4087	158	48	,	,	PUNCT
ejpam-4087	158	49	1	1	NUM
ejpam-4087	158	50	,	,	PUNCT
ejpam-4087	158	51	2	2	NUM
ejpam-4087	158	52	,	,	PUNCT
ejpam-4087	158	53	.	.	PUNCT
ejpam-4087	158	54	.	.	PUNCT
ejpam-4087	158	55	.	.	PUNCT
ejpam-4087	159	1	(	(	PUNCT
ejpam-4087	159	2	11	11	X
ejpam-4087	159	3	)	)	PUNCT
ejpam-4087	159	4	using	use	VERB
ejpam-4087	159	5	the	the	DET
ejpam-4087	159	6	fuzzy	fuzzy	ADJ
ejpam-4087	159	7	modified	modify	VERB
ejpam-4087	159	8	technique	technique	NOUN
ejpam-4087	159	9	(	(	PUNCT
ejpam-4087	159	10	mt	mt	PROPN
ejpam-4087	159	11	)	)	PUNCT
ejpam-4087	160	1	[	[	X
ejpam-4087	160	2	11	11	NUM
ejpam-4087	160	3	]	]	PUNCT
ejpam-4087	160	4	,	,	PUNCT
ejpam-4087	160	5	according	accord	VERB
ejpam-4087	160	6	to	to	ADP
ejpam-4087	160	7	(	(	PUNCT
ejpam-4087	160	8	9	9	NUM
ejpam-4087	160	9	)	)	PUNCT
ejpam-4087	160	10	,	,	PUNCT
ejpam-4087	160	11	lower	low	ADJ
ejpam-4087	160	12	iterations	iteration	NOUN
ejpam-4087	160	13	(	(	PUNCT
ejpam-4087	160	14	l	l	NOUN
ejpam-4087	160	15	)	)	PUNCT
ejpam-4087	160	16	are	be	AUX
ejpam-4087	160	17	then	then	ADV
ejpam-4087	160	18	calculated	calculate	VERB
ejpam-4087	160	19	in	in	ADP
ejpam-4087	160	20	a	a	DET
ejpam-4087	160	21	recursive	recursive	ADJ
ejpam-4087	160	22	manner	manner	NOUN
ejpam-4087	160	23	as	as	ADP
ejpam-4087	160	24	follows:	follows:	NOUN
ejpam-4087	160	25	ui,0	ui,0	PROPN
ejpam-4087	160	26	(	(	PUNCT
ejpam-4087	160	27	x	x	X
ejpam-4087	160	28	,	,	PUNCT
ejpam-4087	160	29	α	α	NOUN
ejpam-4087	160	30	)	)	PUNCT
ejpam-4087	160	31	=	=	SYM
ejpam-4087	160	32	ui	ui	PROPN
ejpam-4087	160	33	(	(	PUNCT
ejpam-4087	160	34	0	0	NUM
ejpam-4087	160	35	,	,	PUNCT
ejpam-4087	160	36	α	α	NOUN
ejpam-4087	160	37	)	)	PUNCT
ejpam-4087	161	1	+	+	CCONJ
ejpam-4087	161	2	u′i	u′i	ADJ
ejpam-4087	161	3	(	(	PUNCT
ejpam-4087	161	4	0	0	NUM
ejpam-4087	161	5	,	,	PUNCT
ejpam-4087	161	6	α)x	α)x	NUM
ejpam-4087	161	7	,	,	PUNCT
ejpam-4087	161	8	ui,1	ui,1	PROPN
ejpam-4087	161	9	(	(	PUNCT
ejpam-4087	161	10	x	x	NOUN
ejpam-4087	161	11	,	,	PUNCT
ejpam-4087	161	12	α	α	NOUN
ejpam-4087	161	13	)	)	PUNCT
ejpam-4087	161	14	=	=	VERB
ejpam-4087	161	15	l−1fi	l−1fi	ADJ
ejpam-4087	161	16	(	(	PUNCT
ejpam-4087	161	17	x	x	NOUN
ejpam-4087	161	18	,	,	PUNCT
ejpam-4087	161	19	α	α	NOUN
ejpam-4087	161	20	)	)	PUNCT
ejpam-4087	162	1	+	+	CCONJ
ejpam-4087	162	2	l−1	l−1	PROPN
ejpam-4087	162	3	[	[	PUNCT
ejpam-4087	162	4	2∑	2∑	NUM
ejpam-4087	162	5	j=1	j=1	NOUN
ejpam-4087	162	6	λij	λij	PROPN
ejpam-4087	162	7	∫	∫	PROPN
ejpam-4087	162	8	x	x	SYM
ejpam-4087	162	9	0	0	PUNCT
ejpam-4087	162	10	kij	kij	PROPN
ejpam-4087	162	11	(	(	PUNCT
ejpam-4087	162	12	x	x	X
ejpam-4087	162	13	,	,	PUNCT
ejpam-4087	162	14	t)aij,0dt	t)aij,0dt	PROPN
ejpam-4087	162	15	]	]	PUNCT
ejpam-4087	162	16	ui	ui	PROPN
ejpam-4087	162	17	,	,	PUNCT
ejpam-4087	162	18	n+1	n+1	PROPN
ejpam-4087	162	19	(	(	PUNCT
ejpam-4087	162	20	x	x	NOUN
ejpam-4087	162	21	,	,	PUNCT
ejpam-4087	162	22	α	α	NOUN
ejpam-4087	162	23	)	)	PUNCT
ejpam-4087	162	24	=	=	SYM
ejpam-4087	162	25	l−1	l−1	PROPN
ejpam-4087	162	26	[	[	PUNCT
ejpam-4087	162	27	2∑	2∑	NUM
ejpam-4087	162	28	j=1	j=1	NOUN
ejpam-4087	162	29	λij	λij	PROPN
ejpam-4087	162	30	∫	∫	PROPN
ejpam-4087	162	31	x	x	SYM
ejpam-4087	162	32	0	0	PUNCT
ejpam-4087	162	33	kij	kij	PROPN
ejpam-4087	162	34	(	(	PUNCT
ejpam-4087	162	35	x	x	NOUN
ejpam-4087	162	36	,	,	PUNCT
ejpam-4087	162	37	t)aij	t)aij	PROPN
ejpam-4087	162	38	,	,	PUNCT
ejpam-4087	162	39	ndt	ndt	PROPN
ejpam-4087	162	40	]	]	PUNCT
ejpam-4087	162	41	,	,	PUNCT
ejpam-4087	162	42	i	i	PRON
ejpam-4087	162	43	=	=	NOUN
ejpam-4087	162	44	1	1	NUM
ejpam-4087	162	45	,	,	PUNCT
ejpam-4087	162	46	2	2	NUM
ejpam-4087	162	47	n	n	NOUN
ejpam-4087	162	48	=	=	SYM
ejpam-4087	162	49	1	1	NUM
ejpam-4087	162	50	,	,	PUNCT
ejpam-4087	162	51	2	2	NUM
ejpam-4087	162	52	,	,	PUNCT
ejpam-4087	162	53	.	.	PUNCT
ejpam-4087	162	54	.	.	PUNCT
ejpam-4087	162	55	.	.	PUNCT
ejpam-4087	163	1	(	(	PUNCT
ejpam-4087	163	2	12	12	NUM
ejpam-4087	163	3	)	)	PUNCT
ejpam-4087	163	4	and	and	CCONJ
ejpam-4087	163	5	the	the	DET
ejpam-4087	163	6	upper	upper	ADJ
ejpam-4087	163	7	iterations	iteration	NOUN
ejpam-4087	163	8	(	(	PUNCT
ejpam-4087	163	9	u	u	NOUN
ejpam-4087	163	10	)	)	PUNCT
ejpam-4087	163	11	are	are	NOUN
ejpam-4087	163	12	ui,0	ui,0	PROPN
ejpam-4087	163	13	(	(	PUNCT
ejpam-4087	163	14	x	x	NOUN
ejpam-4087	163	15	,	,	PUNCT
ejpam-4087	163	16	α	α	NOUN
ejpam-4087	163	17	)	)	PUNCT
ejpam-4087	163	18	=	=	SYM
ejpam-4087	163	19	ui	ui	PROPN
ejpam-4087	163	20	(	(	PUNCT
ejpam-4087	163	21	0	0	NUM
ejpam-4087	163	22	,	,	PUNCT
ejpam-4087	163	23	α	α	NOUN
ejpam-4087	163	24	)	)	PUNCT
ejpam-4087	163	25	+	+	CCONJ
ejpam-4087	163	26	u′i	u′i	ADJ
ejpam-4087	163	27	(	(	PUNCT
ejpam-4087	163	28	0	0	NUM
ejpam-4087	163	29	,	,	PUNCT
ejpam-4087	163	30	α)x	α)x	NUM
ejpam-4087	163	31	,	,	PUNCT
ejpam-4087	163	32	ui,1	ui,1	PROPN
ejpam-4087	163	33	(	(	PUNCT
ejpam-4087	163	34	x	x	NOUN
ejpam-4087	163	35	,	,	PUNCT
ejpam-4087	163	36	α	α	NOUN
ejpam-4087	163	37	)	)	PUNCT
ejpam-4087	163	38	=	=	VERB
ejpam-4087	163	39	l−1fi	l−1fi	ADJ
ejpam-4087	163	40	(	(	PUNCT
ejpam-4087	163	41	x	x	NOUN
ejpam-4087	163	42	,	,	PUNCT
ejpam-4087	163	43	α	α	NOUN
ejpam-4087	163	44	)	)	PUNCT
ejpam-4087	164	1	+	+	CCONJ
ejpam-4087	164	2	l−1	l−1	PROPN
ejpam-4087	164	3	[	[	PUNCT
ejpam-4087	164	4	2∑	2∑	NUM
ejpam-4087	164	5	j=1	j=1	NOUN
ejpam-4087	164	6	λij	λij	PROPN
ejpam-4087	164	7	∫	∫	PROPN
ejpam-4087	164	8	x	x	SYM
ejpam-4087	164	9	0	0	PUNCT
ejpam-4087	164	10	kij	kij	PROPN
ejpam-4087	164	11	(	(	PUNCT
ejpam-4087	164	12	x	x	X
ejpam-4087	164	13	,	,	PUNCT
ejpam-4087	164	14	t)aij,0dt	t)aij,0dt	PROPN
ejpam-4087	164	15	]	]	PUNCT
ejpam-4087	164	16	ui	ui	PROPN
ejpam-4087	164	17	,	,	PUNCT
ejpam-4087	164	18	n+1	n+1	PROPN
ejpam-4087	164	19	(	(	PUNCT
ejpam-4087	164	20	x	x	NOUN
ejpam-4087	164	21	,	,	PUNCT
ejpam-4087	164	22	α	α	NOUN
ejpam-4087	164	23	)	)	PUNCT
ejpam-4087	164	24	=	=	SYM
ejpam-4087	164	25	l−1	l−1	PROPN
ejpam-4087	164	26	[	[	PUNCT
ejpam-4087	164	27	2∑	2∑	NUM
ejpam-4087	164	28	j=1	j=1	NOUN
ejpam-4087	164	29	λij	λij	PROPN
ejpam-4087	164	30	∫	∫	PROPN
ejpam-4087	164	31	x	x	SYM
ejpam-4087	164	32	0	0	PUNCT
ejpam-4087	164	33	kij	kij	PROPN
ejpam-4087	164	34	(	(	PUNCT
ejpam-4087	164	35	x	x	NOUN
ejpam-4087	164	36	,	,	PUNCT
ejpam-4087	164	37	t)aij	t)aij	PROPN
ejpam-4087	164	38	,	,	PUNCT
ejpam-4087	164	39	ndt	ndt	PROPN
ejpam-4087	164	40	]	]	PUNCT
ejpam-4087	164	41	,	,	PUNCT
ejpam-4087	164	42	i	i	PRON
ejpam-4087	164	43	=	=	NOUN
ejpam-4087	164	44	1	1	NUM
ejpam-4087	164	45	,	,	PUNCT
ejpam-4087	164	46	2	2	NUM
ejpam-4087	164	47	n	n	NOUN
ejpam-4087	164	48	=	=	SYM
ejpam-4087	164	49	1	1	NUM
ejpam-4087	164	50	,	,	PUNCT
ejpam-4087	164	51	2	2	NUM
ejpam-4087	164	52	,	,	PUNCT
ejpam-4087	164	53	.	.	PUNCT
ejpam-4087	164	54	.	.	PUNCT
ejpam-4087	164	55	.	.	PUNCT
ejpam-4087	165	1	(	(	PUNCT
ejpam-4087	165	2	13	13	NUM
ejpam-4087	165	3	)	)	PUNCT
ejpam-4087	165	4	thus	thus	ADV
ejpam-4087	165	5	,	,	PUNCT
ejpam-4087	165	6	all	all	DET
ejpam-4087	165	7	components	component	NOUN
ejpam-4087	165	8	(	(	PUNCT
ejpam-4087	165	9	ũi	ũi	PROPN
ejpam-4087	165	10	,	,	PUNCT
ejpam-4087	165	11	n	n	CCONJ
ejpam-4087	165	12	(	(	PUNCT
ejpam-4087	165	13	x	x	NOUN
ejpam-4087	165	14	,	,	PUNCT
ejpam-4087	165	15	α	α	NOUN
ejpam-4087	165	16	)	)	PUNCT
ejpam-4087	165	17	=	=	SYM
ejpam-4087	165	18	[	[	PUNCT
ejpam-4087	165	19	ui	ui	PROPN
ejpam-4087	165	20	,	,	PUNCT
ejpam-4087	165	21	n	n	CCONJ
ejpam-4087	165	22	(	(	PUNCT
ejpam-4087	165	23	x	x	NOUN
ejpam-4087	165	24	,	,	PUNCT
ejpam-4087	165	25	α	α	NOUN
ejpam-4087	165	26	)	)	PUNCT
ejpam-4087	165	27	,	,	PUNCT
ejpam-4087	165	28	ui	ui	PROPN
ejpam-4087	165	29	,	,	PUNCT
ejpam-4087	165	30	n	n	PROPN
ejpam-4087	165	31	(	(	PUNCT
ejpam-4087	165	32	x	x	NOUN
ejpam-4087	165	33	,	,	PUNCT
ejpam-4087	165	34	α	α	NOUN
ejpam-4087	165	35	)	)	PUNCT
ejpam-4087	165	36	]	]	PUNCT
ejpam-4087	165	37	,	,	PUNCT
ejpam-4087	165	38	i	i	PRON
ejpam-4087	165	39	=	=	NOUN
ejpam-4087	165	40	1	1	NUM
ejpam-4087	165	41	,	,	PUNCT
ejpam-4087	165	42	2	2	NUM
ejpam-4087	165	43	)	)	PUNCT
ejpam-4087	165	44	of	of	ADP
ejpam-4087	165	45	ũi	ũi	PROPN
ejpam-4087	165	46	(	(	PUNCT
ejpam-4087	165	47	x	x	NOUN
ejpam-4087	165	48	,	,	PUNCT
ejpam-4087	165	49	α	α	NOUN
ejpam-4087	165	50	)	)	PUNCT
ejpam-4087	165	51	=[	=[	NOUN
ejpam-4087	165	52	ui	ui	NOUN
ejpam-4087	165	53	(	(	PUNCT
ejpam-4087	165	54	x	x	NOUN
ejpam-4087	165	55	,	,	PUNCT
ejpam-4087	165	56	α	α	NOUN
ejpam-4087	165	57	)	)	PUNCT
ejpam-4087	165	58	,	,	PUNCT
ejpam-4087	165	59	ui	ui	PROPN
ejpam-4087	165	60	(	(	PUNCT
ejpam-4087	165	61	x	x	NOUN
ejpam-4087	165	62	,	,	PUNCT
ejpam-4087	165	63	α	α	NOUN
ejpam-4087	165	64	)	)	PUNCT
ejpam-4087	165	65	]	]	PUNCT
ejpam-4087	165	66	,	,	PUNCT
ejpam-4087	165	67	i	i	PRON
ejpam-4087	165	68	=	=	NOUN
ejpam-4087	165	69	1	1	NUM
ejpam-4087	165	70	,	,	PUNCT
ejpam-4087	165	71	2	2	NUM
ejpam-4087	165	72	can	can	AUX
ejpam-4087	165	73	be	be	AUX
ejpam-4087	165	74	calculated	calculate	VERB
ejpam-4087	165	75	once	once	ADV
ejpam-4087	165	76	the	the	DET
ejpam-4087	165	77	ãij	ãij	PROPN
ejpam-4087	165	78	,	,	PUNCT
ejpam-4087	165	79	n	n	PRON
ejpam-4087	165	80	are	be	AUX
ejpam-4087	165	81	given	give	VERB
ejpam-4087	165	82	for	for	ADP
ejpam-4087	165	83	i	i	PRON
ejpam-4087	165	84	,	,	PUNCT
ejpam-4087	165	85	j	j	PROPN
ejpam-4087	166	1	=	=	SYM
ejpam-4087	167	1	1	1	NUM
ejpam-4087	167	2	,	,	PUNCT
ejpam-4087	167	3	2	2	NUM
ejpam-4087	167	4	,	,	PUNCT
ejpam-4087	167	5	.	.	PUNCT
ejpam-4087	167	6	.	.	PUNCT
ejpam-4087	167	7	.	.	PUNCT
ejpam-4087	168	1	,	,	PUNCT
ejpam-4087	168	2	m	m	VERB
ejpam-4087	168	3	and	and	CCONJ
ejpam-4087	168	4	n	n	CCONJ
ejpam-4087	168	5	=	=	SYM
ejpam-4087	168	6	0	0	NUM
ejpam-4087	168	7	,	,	PUNCT
ejpam-4087	168	8	1	1	NUM
ejpam-4087	168	9	,	,	PUNCT
ejpam-4087	168	10	2	2	NUM
ejpam-4087	168	11	,	,	PUNCT
ejpam-4087	168	12	.	.	PUNCT
ejpam-4087	168	13	.	.	PUNCT
ejpam-4087	169	1	.	.	PUNCT
ejpam-4087	170	1	.	.	PUNCT
ejpam-4087	171	1	we	we	PRON
ejpam-4087	171	2	then	then	ADV
ejpam-4087	171	3	define	define	VERB
ejpam-4087	171	4	the	the	DET
ejpam-4087	171	5	n	n	NUM
ejpam-4087	171	6	–	–	PUNCT
ejpam-4087	171	7	term	term	NOUN
ejpam-4087	171	8	approximants	approximant	NOUN
ejpam-4087	171	9	to	to	ADP
ejpam-4087	171	10	the	the	DET
ejpam-4087	171	11	solutions	solution	NOUN
ejpam-4087	171	12	ũi	ũi	PROPN
ejpam-4087	171	13	(	(	PUNCT
ejpam-4087	171	14	x	x	NOUN
ejpam-4087	171	15	,	,	PUNCT
ejpam-4087	171	16	α	α	NOUN
ejpam-4087	171	17	)	)	PUNCT
ejpam-4087	171	18	=[	=[	NOUN
ejpam-4087	171	19	ui	ui	NOUN
ejpam-4087	172	1	(	(	PUNCT
ejpam-4087	172	2	x	x	NOUN
ejpam-4087	172	3	,	,	PUNCT
ejpam-4087	172	4	α	α	NOUN
ejpam-4087	172	5	)	)	PUNCT
ejpam-4087	172	6	,	,	PUNCT
ejpam-4087	172	7	ui	ui	PROPN
ejpam-4087	172	8	(	(	PUNCT
ejpam-4087	172	9	x	x	NOUN
ejpam-4087	172	10	,	,	PUNCT
ejpam-4087	172	11	α	α	NOUN
ejpam-4087	172	12	)	)	PUNCT
ejpam-4087	172	13	]	]	PUNCT
ejpam-4087	172	14	,	,	PUNCT
ejpam-4087	172	15	i	i	PRON
ejpam-4087	172	16	=	=	NOUN
ejpam-4087	172	17	1	1	NUM
ejpam-4087	172	18	,	,	PUNCT
ejpam-4087	172	19	2	2	NUM
ejpam-4087	172	20	by	by	ADP
ejpam-4087	172	21	ϕi	ϕi	ADP
ejpam-4087	172	22	,	,	PUNCT
ejpam-4087	172	23	n	n	CCONJ
ejpam-4087	172	24	[	[	PUNCT
ejpam-4087	172	25	ui	ui	NOUN
ejpam-4087	172	26	(	(	PUNCT
ejpam-4087	172	27	x	x	NOUN
ejpam-4087	172	28	,	,	PUNCT
ejpam-4087	172	29	α	α	NOUN
ejpam-4087	172	30	)	)	PUNCT
ejpam-4087	172	31	]	]	PUNCT
ejpam-4087	173	1	=	=	PUNCT
ejpam-4087	173	2	n−1∑	n−1∑	PROPN
ejpam-4087	173	3	k=0	k=0	PROPN
ejpam-4087	173	4	ui	ui	PROPN
ejpam-4087	173	5	,	,	PUNCT
ejpam-4087	173	6	k	k	PROPN
ejpam-4087	173	7	(	(	PUNCT
ejpam-4087	173	8	x	x	NOUN
ejpam-4087	173	9	,	,	PUNCT
ejpam-4087	173	10	α	α	NOUN
ejpam-4087	173	11	)	)	PUNCT
ejpam-4087	173	12	,	,	PUNCT
ejpam-4087	173	13	i	i	PRON
ejpam-4087	173	14	=	=	NOUN
ejpam-4087	173	15	1	1	NUM
ejpam-4087	173	16	,	,	PUNCT
ejpam-4087	173	17	2	2	NUM
ejpam-4087	173	18	with	with	ADP
ejpam-4087	173	19	lim	lim	PROPN
ejpam-4087	173	20	n→∞	n→∞	X
ejpam-4087	173	21	ϕi	ϕi	ADP
ejpam-4087	173	22	,	,	PUNCT
ejpam-4087	173	23	n	n	CCONJ
ejpam-4087	173	24	[	[	PUNCT
ejpam-4087	173	25	ui	ui	NOUN
ejpam-4087	173	26	(	(	PUNCT
ejpam-4087	173	27	x	x	NOUN
ejpam-4087	173	28	,	,	PUNCT
ejpam-4087	173	29	α	α	NOUN
ejpam-4087	173	30	)	)	PUNCT
ejpam-4087	173	31	]	]	PUNCT
ejpam-4087	174	1	=	=	PUNCT
ejpam-4087	174	2	ui	ui	PROPN
ejpam-4087	174	3	(	(	PUNCT
ejpam-4087	174	4	x	x	NOUN
ejpam-4087	174	5	,	,	PUNCT
ejpam-4087	174	6	α	α	NOUN
ejpam-4087	174	7	)	)	PUNCT
ejpam-4087	174	8	,	,	PUNCT
ejpam-4087	174	9	i	i	PRON
ejpam-4087	174	10	=	=	NOUN
ejpam-4087	174	11	1	1	NUM
ejpam-4087	174	12	,	,	PUNCT
ejpam-4087	174	13	2	2	NUM
ejpam-4087	174	14	and	and	CCONJ
ejpam-4087	174	15	by	by	ADP
ejpam-4087	174	16	ϕi	ϕi	ADP
ejpam-4087	174	17	,	,	PUNCT
ejpam-4087	174	18	n	n	PROPN
ejpam-4087	174	19	[	[	X
ejpam-4087	174	20	ui	ui	X
ejpam-4087	174	21	(	(	PUNCT
ejpam-4087	174	22	x	x	NOUN
ejpam-4087	174	23	,	,	PUNCT
ejpam-4087	174	24	α	α	NOUN
ejpam-4087	174	25	)	)	PUNCT
ejpam-4087	174	26	]	]	PUNCT
ejpam-4087	175	1	=	=	PUNCT
ejpam-4087	175	2	n−1∑	n−1∑	PROPN
ejpam-4087	175	3	k=0	k=0	PROPN
ejpam-4087	175	4	ui	ui	PROPN
ejpam-4087	175	5	,	,	PUNCT
ejpam-4087	175	6	k	k	PROPN
ejpam-4087	175	7	(	(	PUNCT
ejpam-4087	175	8	x	x	NOUN
ejpam-4087	175	9	,	,	PUNCT
ejpam-4087	175	10	α	α	NOUN
ejpam-4087	175	11	)	)	PUNCT
ejpam-4087	175	12	,	,	PUNCT
ejpam-4087	175	13	i	i	PRON
ejpam-4087	175	14	=	=	NOUN
ejpam-4087	175	15	1	1	NUM
ejpam-4087	175	16	,	,	PUNCT
ejpam-4087	175	17	2	2	NUM
ejpam-4087	175	18	with	with	ADP
ejpam-4087	175	19	lim	lim	PROPN
ejpam-4087	175	20	n→∞	n→∞	X
ejpam-4087	175	21	ϕi	ϕi	ADP
ejpam-4087	175	22	,	,	PUNCT
ejpam-4087	175	23	n	n	PROPN
ejpam-4087	175	24	[	[	X
ejpam-4087	175	25	ui	ui	X
ejpam-4087	175	26	(	(	PUNCT
ejpam-4087	175	27	x	x	NOUN
ejpam-4087	175	28	,	,	PUNCT
ejpam-4087	175	29	α	α	NOUN
ejpam-4087	175	30	)	)	PUNCT
ejpam-4087	175	31	]	]	PUNCT
ejpam-4087	176	1	=	=	SYM
ejpam-4087	176	2	ui	ui	PROPN
ejpam-4087	176	3	(	(	PUNCT
ejpam-4087	176	4	x	x	NOUN
ejpam-4087	176	5	,	,	PUNCT
ejpam-4087	176	6	α	α	NOUN
ejpam-4087	176	7	)	)	PUNCT
ejpam-4087	176	8	,	,	PUNCT
ejpam-4087	176	9	i	i	PRON
ejpam-4087	176	10	=	=	NOUN
ejpam-4087	176	11	1	1	NUM
ejpam-4087	176	12	,	,	PUNCT
ejpam-4087	176	13	2	2	NUM
ejpam-4087	176	14	.	.	NOUN
ejpam-4087	176	15	5	5	NUM
ejpam-4087	176	16	.	.	PUNCT
ejpam-4087	176	17	applications	application	NOUN
ejpam-4087	176	18	and	and	CCONJ
ejpam-4087	176	19	numerical	numerical	ADJ
ejpam-4087	176	20	results	result	NOUN
ejpam-4087	176	21	the	the	DET
ejpam-4087	176	22	fuzzy	fuzzy	ADJ
ejpam-4087	176	23	systems	system	NOUN
ejpam-4087	176	24	of	of	ADP
ejpam-4087	176	25	linear	linear	PROPN
ejpam-4087	176	26	and	and	CCONJ
ejpam-4087	176	27	non	non	ADJ
ejpam-4087	176	28	-	-	ADJ
ejpam-4087	176	29	linear	linear	ADJ
ejpam-4087	176	30	volterra	volterra	NOUN
ejpam-4087	176	31	integro	integro	PROPN
ejpam-4087	176	32	-	-	PUNCT
ejpam-4087	176	33	differential	differential	NOUN
ejpam-4087	176	34	equations	equation	NOUN
ejpam-4087	176	35	are	be	AUX
ejpam-4087	176	36	displayed	display	VERB
ejpam-4087	176	37	in	in	ADP
ejpam-4087	176	38	the	the	DET
ejpam-4087	176	39	following	follow	VERB
ejpam-4087	176	40	two	two	NUM
ejpam-4087	176	41	problems	problem	NOUN
ejpam-4087	176	42	,	,	PUNCT
ejpam-4087	176	43	and	and	CCONJ
ejpam-4087	176	44	we	we	PRON
ejpam-4087	176	45	use	use	VERB
ejpam-4087	176	46	adm	adm	PROPN
ejpam-4087	176	47	and	and	CCONJ
ejpam-4087	176	48	mt	mt	PROPN
ejpam-4087	176	49	to	to	PART
ejpam-4087	176	50	achieve	achieve	VERB
ejpam-4087	176	51	approximate	approximate	ADJ
ejpam-4087	176	52	exact	exact	ADJ
ejpam-4087	176	53	solutions	solution	NOUN
ejpam-4087	176	54	.	.	PUNCT
ejpam-4087	177	1	in	in	ADP
ejpam-4087	177	2	the	the	DET
ejpam-4087	177	3	problem	problem	NOUN
ejpam-4087	177	4	2	2	X
ejpam-4087	177	5	.	.	PUNCT
ejpam-4087	178	1	the	the	DET
ejpam-4087	178	2	maximum	maximum	ADJ
ejpam-4087	178	3	errors	error	NOUN
ejpam-4087	178	4	are	be	AUX
ejpam-4087	178	5	defined	define	VERB
ejpam-4087	178	6	as	as	SCONJ
ejpam-4087	178	7	follows	follow	VERB
ejpam-4087	178	8	to	to	PART
ejpam-4087	178	9	demonstrate	demonstrate	VERB
ejpam-4087	178	10	the	the	DET
ejpam-4087	178	11	great	great	ADJ
ejpam-4087	178	12	accuracy	accuracy	NOUN
ejpam-4087	178	13	of	of	ADP
ejpam-4087	178	14	the	the	DET
ejpam-4087	178	15	solution	solution	NOUN
ejpam-4087	178	16	outcomes	outcome	NOUN
ejpam-4087	178	17	when	when	SCONJ
ejpam-4087	178	18	compared	compare	VERB
ejpam-4087	178	19	to	to	ADP
ejpam-4087	178	20	the	the	DET
ejpam-4087	178	21	exact	exact	ADJ
ejpam-4087	178	22	solutions	solution	NOUN
ejpam-4087	178	23	:	:	PUNCT
ejpam-4087	179	1	l∞	l∞	NOUN
ejpam-4087	180	1	[	[	X
ejpam-4087	180	2	a	a	X
ejpam-4087	180	3	,	,	PUNCT
ejpam-4087	180	4	b	b	NOUN
ejpam-4087	180	5	]	]	X
ejpam-4087	180	6	=	=	SYM
ejpam-4087	180	7	∥uexact	∥uexact	NOUN
ejpam-4087	180	8	(	(	PUNCT
ejpam-4087	180	9	xi	xi	ADP
ejpam-4087	180	10	,	,	PUNCT
ejpam-4087	180	11	α)−	α)−	VERB
ejpam-4087	180	12	ϕi	ϕi	ADP
ejpam-4087	180	13	,	,	PUNCT
ejpam-4087	180	14	n	n	CCONJ
ejpam-4087	180	15	(	(	PUNCT
ejpam-4087	180	16	xi	xi	PROPN
ejpam-4087	180	17	,	,	PUNCT
ejpam-4087	180	18	α)∥∞	α)∥∞	NUM
ejpam-4087	180	19	,	,	PUNCT
ejpam-4087	180	20	m.	m.	NOUN
ejpam-4087	180	21	t.	t.	PROPN
ejpam-4087	180	22	younis	younis	PROPN
ejpam-4087	180	23	,	,	PUNCT
ejpam-4087	180	24	w.	w.	PROPN
ejpam-4087	180	25	al	al	PROPN
ejpam-4087	180	26	-	-	PUNCT
ejpam-4087	180	27	hayani	hayani	PROPN
ejpam-4087	180	28	/	/	SYM
ejpam-4087	180	29	eur	eur	PROPN
ejpam-4087	180	30	.	.	PUNCT
ejpam-4087	181	1	j.	j.	PROPN
ejpam-4087	181	2	pure	pure	PROPN
ejpam-4087	181	3	appl	appl	PROPN
ejpam-4087	181	4	.	.	PROPN
ejpam-4087	181	5	math	math	PROPN
ejpam-4087	181	6	,	,	PUNCT
ejpam-4087	181	7	15	15	NUM
ejpam-4087	181	8	(	(	PUNCT
ejpam-4087	181	9	1	1	NUM
ejpam-4087	181	10	)	)	PUNCT
ejpam-4087	181	11	(	(	PUNCT
ejpam-4087	181	12	2022	2022	NUM
ejpam-4087	181	13	)	)	PUNCT
ejpam-4087	181	14	,	,	PUNCT
ejpam-4087	181	15	290	290	NUM
ejpam-4087	181	16	-	-	SYM
ejpam-4087	181	17	313	313	NUM
ejpam-4087	181	18	297	297	NUM
ejpam-4087	181	19	l2,s	l2,s	PROPN
ejpam-4087	182	1	[	[	X
ejpam-4087	182	2	a	a	X
ejpam-4087	182	3	,	,	PUNCT
ejpam-4087	182	4	b	b	NOUN
ejpam-4087	182	5	]	]	X
ejpam-4087	182	6	=	=	SYM
ejpam-4087	182	7	√√√√	√√√√	DET
ejpam-4087	182	8	n∑	n∑	NOUN
ejpam-4087	182	9	i=0	i=0	PROPN
ejpam-4087	183	1	[	[	X
ejpam-4087	183	2	uexact	uexact	ADJ
ejpam-4087	183	3	(	(	PUNCT
ejpam-4087	183	4	xi	xi	X
ejpam-4087	183	5	,	,	PUNCT
ejpam-4087	183	6	α)−	α)−	VERB
ejpam-4087	183	7	ϕi	ϕi	ADP
ejpam-4087	183	8	,	,	PUNCT
ejpam-4087	183	9	n	n	CCONJ
ejpam-4087	183	10	(	(	PUNCT
ejpam-4087	183	11	xi	xi	PROPN
ejpam-4087	183	12	,	,	PUNCT
ejpam-4087	183	13	α	α	NOUN
ejpam-4087	183	14	)	)	PUNCT
ejpam-4087	183	15	]	]	PUNCT
ejpam-4087	184	1	2	2	NUM
ejpam-4087	184	2	,	,	PUNCT
ejpam-4087	184	3	l2,i	l2,i	ADV
ejpam-4087	184	4	[	[	X
ejpam-4087	184	5	a	a	X
ejpam-4087	184	6	,	,	PUNCT
ejpam-4087	184	7	b	b	NOUN
ejpam-4087	184	8	]	]	X
ejpam-4087	184	9	=	=	PUNCT
ejpam-4087	184	10	√∫	√∫	PROPN
ejpam-4087	184	11	b	b	PROPN
ejpam-4087	184	12	a	a	PRON
ejpam-4087	184	13	[	[	X
ejpam-4087	184	14	uexact	uexact	ADJ
ejpam-4087	184	15	(	(	PUNCT
ejpam-4087	184	16	x	x	X
ejpam-4087	184	17	,	,	PUNCT
ejpam-4087	184	18	α)−	α)−	VERB
ejpam-4087	184	19	ϕi	ϕi	ADP
ejpam-4087	184	20	,	,	PUNCT
ejpam-4087	184	21	n	n	CCONJ
ejpam-4087	184	22	(	(	PUNCT
ejpam-4087	184	23	x	x	NOUN
ejpam-4087	184	24	,	,	PUNCT
ejpam-4087	184	25	α	α	NOUN
ejpam-4087	184	26	)	)	PUNCT
ejpam-4087	184	27	]	]	PUNCT
ejpam-4087	184	28	2	2	NUM
ejpam-4087	184	29	dx	dx	NOUN
ejpam-4087	184	30	,	,	PUNCT
ejpam-4087	184	31	where	where	SCONJ
ejpam-4087	184	32	n	n	NOUN
ejpam-4087	184	33	=	=	SYM
ejpam-4087	184	34	1	1	NUM
ejpam-4087	184	35	,	,	PUNCT
ejpam-4087	184	36	2	2	NUM
ejpam-4087	184	37	,	,	PUNCT
ejpam-4087	184	38	.	.	PUNCT
ejpam-4087	184	39	.	.	PUNCT
ejpam-4087	184	40	.	.	PUNCT
ejpam-4087	185	1	represents	represent	VERB
ejpam-4087	185	2	the	the	DET
ejpam-4087	185	3	number	number	NOUN
ejpam-4087	185	4	of	of	ADP
ejpam-4087	185	5	iterations	iteration	NOUN
ejpam-4087	185	6	.	.	PUNCT
ejpam-4087	186	1	moreover	moreover	ADV
ejpam-4087	186	2	,	,	PUNCT
ejpam-4087	186	3	we	we	PRON
ejpam-4087	186	4	give	give	VERB
ejpam-4087	186	5	the	the	DET
ejpam-4087	186	6	error	error	NOUN
ejpam-4087	186	7	residual	residual	ADJ
ejpam-4087	186	8	in	in	ADP
ejpam-4087	186	9	the	the	DET
ejpam-4087	186	10	non	non	ADJ
ejpam-4087	186	11	-	-	ADJ
ejpam-4087	186	12	linear	linear	ADJ
ejpam-4087	186	13	problem	problem	NOUN
ejpam-4087	186	14	.	.	PUNCT
ejpam-4087	187	1	the	the	DET
ejpam-4087	187	2	computations	computation	NOUN
ejpam-4087	187	3	for	for	ADP
ejpam-4087	187	4	the	the	DET
ejpam-4087	187	5	problems	problem	NOUN
ejpam-4087	187	6	were	be	AUX
ejpam-4087	187	7	done	do	VERB
ejpam-4087	187	8	with	with	ADP
ejpam-4087	187	9	a	a	DET
ejpam-4087	187	10	precision	precision	NOUN
ejpam-4087	187	11	of	of	ADP
ejpam-4087	187	12	40	40	NUM
ejpam-4087	187	13	digits	digit	NOUN
ejpam-4087	187	14	using	use	VERB
ejpam-4087	187	15	the	the	DET
ejpam-4087	187	16	maple	maple	NOUN
ejpam-4087	187	17	18	18	NUM
ejpam-4087	187	18	package	package	NOUN
ejpam-4087	187	19	.	.	PUNCT
ejpam-4087	188	1	problem	problem	NOUN
ejpam-4087	188	2	1	1	X
ejpam-4087	188	3	.	.	PUNCT
ejpam-4087	189	1	let	let	VERB
ejpam-4087	189	2	us	we	PRON
ejpam-4087	189	3	consider	consider	VERB
ejpam-4087	189	4	the	the	DET
ejpam-4087	189	5	following	follow	VERB
ejpam-4087	189	6	linear	linear	ADJ
ejpam-4087	189	7	fuzzy	fuzzy	ADJ
ejpam-4087	189	8	system	system	NOUN
ejpam-4087	189	9	of	of	ADP
ejpam-4087	189	10	volterra	volterra	PROPN
ejpam-4087	189	11	integro	integro	PROPN
ejpam-4087	189	12	-	-	PUNCT
ejpam-4087	189	13	differential	differential	NOUN
ejpam-4087	189	14	equations	equation	NOUN
ejpam-4087	189	15	(	(	PUNCT
ejpam-4087	189	16	lfsvides	lfsvide	NOUN
ejpam-4087	189	17	)	)	PUNCT
ejpam-4087	189	18	of	of	ADP
ejpam-4087	189	19	the	the	DET
ejpam-4087	189	20	second	second	ADJ
ejpam-4087	189	21	kind	kind	NUM
ejpam-4087	189	22	ũ′′1	ũ′′1	PROPN
ejpam-4087	189	23	(	(	PUNCT
ejpam-4087	189	24	x	x	NOUN
ejpam-4087	189	25	,	,	PUNCT
ejpam-4087	189	26	α	α	NOUN
ejpam-4087	189	27	)	)	PUNCT
ejpam-4087	190	1	=	=	SYM
ejpam-4087	190	2	f̃1	f̃1	PROPN
ejpam-4087	190	3	(	(	PUNCT
ejpam-4087	190	4	x	x	X
ejpam-4087	190	5	,	,	PUNCT
ejpam-4087	190	6	α	α	NOUN
ejpam-4087	190	7	)	)	PUNCT
ejpam-4087	191	1	+	+	CCONJ
ejpam-4087	191	2	∫	∫	PROPN
ejpam-4087	191	3	x	x	SYM
ejpam-4087	191	4	0	0	PUNCT
ejpam-4087	192	1	[	[	X
ejpam-4087	192	2	ũ1	ũ1	PROPN
ejpam-4087	192	3	(	(	PUNCT
ejpam-4087	192	4	t	t	PROPN
ejpam-4087	192	5	,	,	PUNCT
ejpam-4087	192	6	α	α	NOUN
ejpam-4087	192	7	)	)	PUNCT
ejpam-4087	192	8	+	+	CCONJ
ejpam-4087	192	9	(	(	PUNCT
ejpam-4087	192	10	x−	x−	PROPN
ejpam-4087	192	11	t	t	PROPN
ejpam-4087	192	12	)	)	PUNCT
ejpam-4087	192	13	ũ2	ũ2	PROPN
ejpam-4087	192	14	(	(	PUNCT
ejpam-4087	192	15	t	t	PROPN
ejpam-4087	192	16	,	,	PUNCT
ejpam-4087	192	17	α	α	NOUN
ejpam-4087	192	18	)	)	PUNCT
ejpam-4087	192	19	]	]	PUNCT
ejpam-4087	192	20	dt	dt	PROPN
ejpam-4087	192	21	,	,	PUNCT
ejpam-4087	192	22	ũ′′2	ũ′′2	PROPN
ejpam-4087	192	23	(	(	PUNCT
ejpam-4087	192	24	x	x	NOUN
ejpam-4087	192	25	,	,	PUNCT
ejpam-4087	192	26	α	α	NOUN
ejpam-4087	192	27	)	)	PUNCT
ejpam-4087	192	28	=	=	SYM
ejpam-4087	193	1	f̃2	f̃2	PROPN
ejpam-4087	193	2	(	(	PUNCT
ejpam-4087	193	3	x	x	NOUN
ejpam-4087	193	4	,	,	PUNCT
ejpam-4087	193	5	α	α	NOUN
ejpam-4087	193	6	)	)	PUNCT
ejpam-4087	194	1	+	+	CCONJ
ejpam-4087	194	2	∫	∫	PROPN
ejpam-4087	194	3	x	x	SYM
ejpam-4087	194	4	0	0	PUNCT
ejpam-4087	195	1	[	[	X
ejpam-4087	195	2	(	(	PUNCT
ejpam-4087	195	3	x−	x−	PROPN
ejpam-4087	195	4	t	t	PROPN
ejpam-4087	195	5	)	)	PUNCT
ejpam-4087	195	6	ũ1	ũ1	PROPN
ejpam-4087	195	7	(	(	PUNCT
ejpam-4087	195	8	t	t	PROPN
ejpam-4087	195	9	,	,	PUNCT
ejpam-4087	195	10	α)−	α)−	PROPN
ejpam-4087	195	11	ũ2	ũ2	PROPN
ejpam-4087	195	12	(	(	PUNCT
ejpam-4087	195	13	t	t	PROPN
ejpam-4087	195	14	,	,	PUNCT
ejpam-4087	195	15	α	α	NOUN
ejpam-4087	195	16	)	)	PUNCT
ejpam-4087	195	17	]	]	PUNCT
ejpam-4087	196	1	dt	dt	X
ejpam-4087	196	2	,	,	PUNCT
ejpam-4087	196	3	(	(	PUNCT
ejpam-4087	196	4	14	14	NUM
ejpam-4087	196	5	)	)	PUNCT
ejpam-4087	196	6	with	with	ADP
ejpam-4087	196	7	the	the	DET
ejpam-4087	196	8	initial	initial	ADJ
ejpam-4087	196	9	conditions	conditions	PUNCT
ejpam-4087	196	10	ũ1	ũ1	PROPN
ejpam-4087	196	11	(	(	PUNCT
ejpam-4087	196	12	0	0	NUM
ejpam-4087	196	13	,	,	PUNCT
ejpam-4087	196	14	α	α	NOUN
ejpam-4087	196	15	)	)	PUNCT
ejpam-4087	196	16	=	=	PUNCT
ejpam-4087	196	17	(	(	PUNCT
ejpam-4087	196	18	3−	3−	NUM
ejpam-4087	196	19	α	α	NUM
ejpam-4087	196	20	,	,	PUNCT
ejpam-4087	196	21	2α	2α	NOUN
ejpam-4087	196	22	)	)	PUNCT
ejpam-4087	196	23	,	,	PUNCT
ejpam-4087	197	1	ũ′1	ũ′1	PROPN
ejpam-4087	197	2	(	(	PUNCT
ejpam-4087	197	3	0	0	NUM
ejpam-4087	197	4	,	,	PUNCT
ejpam-4087	197	5	α	α	NOUN
ejpam-4087	197	6	)	)	PUNCT
ejpam-4087	197	7	=	=	PUNCT
ejpam-4087	197	8	(	(	PUNCT
ejpam-4087	197	9	2−	2−	NUM
ejpam-4087	197	10	α	α	NOUN
ejpam-4087	197	11	,	,	PUNCT
ejpam-4087	197	12	α2	α2	PROPN
ejpam-4087	197	13	)	)	PUNCT
ejpam-4087	197	14	,	,	PUNCT
ejpam-4087	197	15	ũ2	ũ2	PROPN
ejpam-4087	197	16	(	(	PUNCT
ejpam-4087	197	17	0	0	NUM
ejpam-4087	197	18	,	,	PUNCT
ejpam-4087	197	19	α	α	NOUN
ejpam-4087	197	20	)	)	PUNCT
ejpam-4087	197	21	=	=	SYM
ejpam-4087	197	22	(	(	PUNCT
ejpam-4087	197	23	3−	3−	NUM
ejpam-4087	197	24	2α	2α	NOUN
ejpam-4087	197	25	,	,	PUNCT
ejpam-4087	197	26	2α−	2α−	NUM
ejpam-4087	197	27	1	1	NUM
ejpam-4087	197	28	)	)	PUNCT
ejpam-4087	197	29	,	,	PUNCT
ejpam-4087	197	30	ũ′2	ũ′2	PROPN
ejpam-4087	197	31	(	(	PUNCT
ejpam-4087	197	32	0	0	NUM
ejpam-4087	197	33	,	,	PUNCT
ejpam-4087	197	34	α	α	NOUN
ejpam-4087	197	35	)	)	PUNCT
ejpam-4087	197	36	=	=	SYM
ejpam-4087	197	37	(	(	PUNCT
ejpam-4087	197	38	4−	4−	NUM
ejpam-4087	197	39	2α	2α	NOUN
ejpam-4087	197	40	,	,	PUNCT
ejpam-4087	197	41	3α2	3α2	NUM
ejpam-4087	197	42	−	−	PROPN
ejpam-4087	197	43	α	α	PROPN
ejpam-4087	197	44	)	)	PUNCT
ejpam-4087	197	45	,	,	PUNCT
ejpam-4087	197	46	where	where	SCONJ
ejpam-4087	197	47	f̃1	f̃1	PROPN
ejpam-4087	197	48	(	(	PUNCT
ejpam-4087	197	49	x	x	NOUN
ejpam-4087	197	50	,	,	PUNCT
ejpam-4087	197	51	α	α	NOUN
ejpam-4087	197	52	)	)	PUNCT
ejpam-4087	197	53	=	=	SYM
ejpam-4087	197	54	[	[	PUNCT
ejpam-4087	197	55	f1	f1	NOUN
ejpam-4087	197	56	(	(	PUNCT
ejpam-4087	197	57	x	x	NOUN
ejpam-4087	197	58	,	,	PUNCT
ejpam-4087	197	59	α	α	NOUN
ejpam-4087	197	60	)	)	PUNCT
ejpam-4087	197	61	,	,	PUNCT
ejpam-4087	197	62	f1	f1	NOUN
ejpam-4087	197	63	(	(	PUNCT
ejpam-4087	197	64	x	x	NOUN
ejpam-4087	197	65	,	,	PUNCT
ejpam-4087	197	66	α	α	NOUN
ejpam-4087	197	67	)	)	PUNCT
ejpam-4087	197	68	]	]	PUNCT
ejpam-4087	197	69	and	and	CCONJ
ejpam-4087	197	70	f̃2	f̃2	PROPN
ejpam-4087	197	71	(	(	PUNCT
ejpam-4087	197	72	x	x	NOUN
ejpam-4087	197	73	,	,	PUNCT
ejpam-4087	197	74	α	α	NOUN
ejpam-4087	197	75	)	)	PUNCT
ejpam-4087	197	76	=	=	PUNCT
ejpam-4087	197	77	[	[	PUNCT
ejpam-4087	197	78	f2	f2	PROPN
ejpam-4087	197	79	(	(	PUNCT
ejpam-4087	197	80	x	x	NOUN
ejpam-4087	197	81	,	,	PUNCT
ejpam-4087	197	82	α	α	NOUN
ejpam-4087	197	83	)	)	PUNCT
ejpam-4087	197	84	,	,	PUNCT
ejpam-4087	197	85	f2	f2	PROPN
ejpam-4087	197	86	(	(	PUNCT
ejpam-4087	197	87	x	x	NOUN
ejpam-4087	197	88	,	,	PUNCT
ejpam-4087	197	89	α	α	NOUN
ejpam-4087	197	90	)	)	PUNCT
ejpam-4087	197	91	]	]	PUNCT
ejpam-4087	197	92	are	be	AUX
ejpam-4087	197	93	given	give	VERB
ejpam-4087	197	94	by	by	ADP
ejpam-4087	197	95	f1	f1	PROPN
ejpam-4087	197	96	(	(	PUNCT
ejpam-4087	197	97	x	x	NOUN
ejpam-4087	197	98	,	,	PUNCT
ejpam-4087	197	99	α	α	NOUN
ejpam-4087	197	100	)	)	PUNCT
ejpam-4087	197	101	=	=	PUNCT
ejpam-4087	197	102	(	(	PUNCT
ejpam-4087	197	103	3−	3−	NUM
ejpam-4087	197	104	α	α	NOUN
ejpam-4087	197	105	)	)	PUNCT
ejpam-4087	198	1	+	+	CCONJ
ejpam-4087	198	2	(	(	PUNCT
ejpam-4087	198	3	1−	1−	NUM
ejpam-4087	198	4	2α	2α	NOUN
ejpam-4087	198	5	)	)	PUNCT
ejpam-4087	198	6	ex	ex	X
ejpam-4087	199	1	+	+	PUNCT
ejpam-4087	199	2	(	(	PUNCT
ejpam-4087	199	3	1−	1−	NUM
ejpam-4087	199	4	2α3	2α3	NUM
ejpam-4087	199	5	)	)	PUNCT
ejpam-4087	199	6	cosx	cosx	PROPN
ejpam-4087	199	7	,	,	PUNCT
ejpam-4087	199	8	f1	f1	PROPN
ejpam-4087	199	9	(	(	PUNCT
ejpam-4087	199	10	x	x	NOUN
ejpam-4087	199	11	,	,	PUNCT
ejpam-4087	199	12	α	α	NOUN
ejpam-4087	199	13	)	)	PUNCT
ejpam-4087	199	14	=	=	NOUN
ejpam-4087	199	15	(	(	PUNCT
ejpam-4087	199	16	5α2	5α2	NUM
ejpam-4087	199	17	−	−	NOUN
ejpam-4087	199	18	3	3	NUM
ejpam-4087	199	19	)	)	PUNCT
ejpam-4087	199	20	−	−	NOUN
ejpam-4087	199	21	αex	αex	INTJ
ejpam-4087	199	22	−	−	PROPN
ejpam-4087	199	23	(	(	PUNCT
ejpam-4087	199	24	3α2	3α2	NUM
ejpam-4087	199	25	−	−	PROPN
ejpam-4087	199	26	2α	2α	PROPN
ejpam-4087	199	27	)	)	PUNCT
ejpam-4087	199	28	cosx	cosx	NOUN
ejpam-4087	199	29	,	,	PUNCT
ejpam-4087	199	30	f2	f2	PROPN
ejpam-4087	199	31	(	(	PUNCT
ejpam-4087	199	32	x	x	NOUN
ejpam-4087	199	33	,	,	PUNCT
ejpam-4087	199	34	α	α	NOUN
ejpam-4087	199	35	)	)	PUNCT
ejpam-4087	199	36	=	=	PUNCT
ejpam-4087	199	37	(	(	PUNCT
ejpam-4087	199	38	3−	3−	NUM
ejpam-4087	199	39	2α)x−	2α)x−	NUM
ejpam-4087	199	40	(	(	PUNCT
ejpam-4087	199	41	1−	1−	NUM
ejpam-4087	199	42	2α	2α	NOUN
ejpam-4087	199	43	)	)	PUNCT
ejpam-4087	199	44	ex	ex	X
ejpam-4087	200	1	+	+	PUNCT
ejpam-4087	200	2	(	(	PUNCT
ejpam-4087	200	3	2−	2−	NUM
ejpam-4087	200	4	3α5	3α5	NUM
ejpam-4087	200	5	)	)	PUNCT
ejpam-4087	200	6	sinx	sinx	NOUN
ejpam-4087	200	7	,	,	PUNCT
ejpam-4087	200	8	f2	f2	PROPN
ejpam-4087	200	9	(	(	PUNCT
ejpam-4087	200	10	x	x	NOUN
ejpam-4087	200	11	,	,	PUNCT
ejpam-4087	200	12	α	α	NOUN
ejpam-4087	200	13	)	)	PUNCT
ejpam-4087	200	14	=	=	SYM
ejpam-4087	200	15	(	(	PUNCT
ejpam-4087	200	16	3α5	3α5	NUM
ejpam-4087	200	17	−	−	NOUN
ejpam-4087	200	18	2	2	NUM
ejpam-4087	200	19	)	)	PUNCT
ejpam-4087	200	20	x+	x+	PUNCT
ejpam-4087	200	21	(	(	PUNCT
ejpam-4087	200	22	2α2	2α2	NUM
ejpam-4087	200	23	−	−	NOUN
ejpam-4087	200	24	1	1	NUM
ejpam-4087	200	25	)	)	PUNCT
ejpam-4087	200	26	ex	ex	NOUN
ejpam-4087	200	27	−	−	PROPN
ejpam-4087	200	28	α	α	PROPN
ejpam-4087	200	29	sinx	sinx	PROPN
ejpam-4087	200	30	,	,	PUNCT
ejpam-4087	200	31	the	the	DET
ejpam-4087	200	32	exact	exact	ADJ
ejpam-4087	200	33	solutions	solution	NOUN
ejpam-4087	200	34	of	of	ADP
ejpam-4087	200	35	the	the	DET
ejpam-4087	200	36	lfsvides	lfsvide	NOUN
ejpam-4087	200	37	(	(	PUNCT
ejpam-4087	200	38	14	14	NUM
ejpam-4087	200	39	)	)	PUNCT
ejpam-4087	200	40	are	be	AUX
ejpam-4087	200	41	ũ1	ũ1	PROPN
ejpam-4087	200	42	(	(	PUNCT
ejpam-4087	200	43	x	x	NOUN
ejpam-4087	200	44	)	)	PUNCT
ejpam-4087	200	45	=	=	SYM
ejpam-4087	200	46	ex	ex	X
ejpam-4087	201	1	+	+	X
ejpam-4087	201	2	cosx	cosx	NOUN
ejpam-4087	201	3	and	and	CCONJ
ejpam-4087	201	4	ũ2	ũ2	PROPN
ejpam-4087	201	5	(	(	PUNCT
ejpam-4087	201	6	x	x	X
ejpam-4087	201	7	)	)	PUNCT
ejpam-4087	201	8	=	=	SYM
ejpam-4087	201	9	ex	ex	X
ejpam-4087	201	10	+	+	X
ejpam-4087	201	11	sinx	sinx	NOUN
ejpam-4087	201	12	.	.	PUNCT
ejpam-4087	202	1	operating	operate	VERB
ejpam-4087	202	2	by	by	ADP
ejpam-4087	202	3	the	the	DET
ejpam-4087	202	4	same	same	ADJ
ejpam-4087	202	5	way	way	NOUN
ejpam-4087	202	6	proceeding	proceeding	NOUN
ejpam-4087	202	7	(	(	PUNCT
ejpam-4087	202	8	3)-(9	3)-(9	NOUN
ejpam-4087	202	9	)	)	PUNCT
ejpam-4087	202	10	as	as	ADP
ejpam-4087	202	11	above	above	ADV
ejpam-4087	202	12	,	,	PUNCT
ejpam-4087	202	13	and	and	CCONJ
ejpam-4087	202	14	applying	apply	VERB
ejpam-4087	202	15	the	the	DET
ejpam-4087	202	16	fuzzy	fuzzy	ADJ
ejpam-4087	202	17	standard	standard	PROPN
ejpam-4087	202	18	adm	adm	PROPN
ejpam-4087	202	19	,	,	PUNCT
ejpam-4087	202	20	the	the	DET
ejpam-4087	202	21	lower	low	ADJ
ejpam-4087	202	22	iterations	iteration	NOUN
ejpam-4087	202	23	(	(	PUNCT
ejpam-4087	202	24	l	l	NOUN
ejpam-4087	202	25	)	)	PUNCT
ejpam-4087	202	26	are	be	AUX
ejpam-4087	202	27	then	then	ADV
ejpam-4087	202	28	determined	determined	ADJ
ejpam-4087	202	29	in	in	ADP
ejpam-4087	202	30	the	the	DET
ejpam-4087	202	31	following	follow	VERB
ejpam-4087	202	32	recursive	recursive	ADJ
ejpam-4087	202	33	way	way	NOUN
ejpam-4087	202	34	:	:	PUNCT
ejpam-4087	202	35	{	{	PUNCT
ejpam-4087	202	36	u1,0	u1,0	PROPN
ejpam-4087	202	37	(	(	PUNCT
ejpam-4087	202	38	x	x	X
ejpam-4087	202	39	,	,	PUNCT
ejpam-4087	202	40	α	α	NOUN
ejpam-4087	202	41	)	)	PUNCT
ejpam-4087	202	42	=	=	PUNCT
ejpam-4087	202	43	(	(	PUNCT
ejpam-4087	202	44	3−	3−	NUM
ejpam-4087	202	45	α	α	NOUN
ejpam-4087	202	46	)	)	PUNCT
ejpam-4087	203	1	+	+	CCONJ
ejpam-4087	203	2	(	(	PUNCT
ejpam-4087	203	3	2−	2−	NUM
ejpam-4087	203	4	α)x+	α)x+	NUM
ejpam-4087	203	5	l−1f1	l−1f1	NOUN
ejpam-4087	203	6	(	(	PUNCT
ejpam-4087	203	7	x	x	NOUN
ejpam-4087	203	8	,	,	PUNCT
ejpam-4087	203	9	α	α	NOUN
ejpam-4087	203	10	)	)	PUNCT
ejpam-4087	203	11	,	,	PUNCT
ejpam-4087	203	12	u2,0	u2,0	PROPN
ejpam-4087	203	13	(	(	PUNCT
ejpam-4087	203	14	x	x	PROPN
ejpam-4087	203	15	,	,	PUNCT
ejpam-4087	203	16	α	α	NOUN
ejpam-4087	203	17	)	)	PUNCT
ejpam-4087	203	18	=	=	SYM
ejpam-4087	203	19	(	(	PUNCT
ejpam-4087	203	20	3−	3−	NUM
ejpam-4087	203	21	2α	2α	NOUN
ejpam-4087	203	22	)	)	PUNCT
ejpam-4087	204	1	+	+	CCONJ
ejpam-4087	205	1	(	(	PUNCT
ejpam-4087	205	2	4−	4−	NOUN
ejpam-4087	205	3	2α)x+	2α)x+	NUM
ejpam-4087	205	4	l−1f2	l−1f2	NOUN
ejpam-4087	205	5	(	(	PUNCT
ejpam-4087	205	6	x	x	X
ejpam-4087	205	7	,	,	PUNCT
ejpam-4087	205	8	α	α	NOUN
ejpam-4087	205	9	)	)	PUNCT
ejpam-4087	205	10	,	,	PUNCT
ejpam-4087	205	11			PROPN
ejpam-4087	205	12	u1,n+1	u1,n+1	PROPN
ejpam-4087	205	13	(	(	PUNCT
ejpam-4087	205	14	x	x	NOUN
ejpam-4087	205	15	,	,	PUNCT
ejpam-4087	205	16	α	α	NOUN
ejpam-4087	205	17	)	)	PUNCT
ejpam-4087	205	18	=	=	PUNCT
ejpam-4087	206	1	l−1	l−1	PROPN
ejpam-4087	207	1	[	[	X
ejpam-4087	207	2	∫	∫	X
ejpam-4087	207	3	x	x	SYM
ejpam-4087	207	4	0	0	PUNCT
ejpam-4087	207	5	[	[	PUNCT
ejpam-4087	207	6	u1,n	u1,n	PROPN
ejpam-4087	207	7	(	(	PUNCT
ejpam-4087	207	8	t	t	PROPN
ejpam-4087	207	9	,	,	PUNCT
ejpam-4087	207	10	α	α	NOUN
ejpam-4087	207	11	)	)	PUNCT
ejpam-4087	207	12	+	+	CCONJ
ejpam-4087	207	13	(	(	PUNCT
ejpam-4087	207	14	x−	x−	PROPN
ejpam-4087	207	15	t)u2,n	t)u2,n	PROPN
ejpam-4087	207	16	(	(	PUNCT
ejpam-4087	207	17	t	t	PROPN
ejpam-4087	207	18	,	,	PUNCT
ejpam-4087	207	19	α	α	NOUN
ejpam-4087	207	20	)	)	PUNCT
ejpam-4087	207	21	]	]	PUNCT
ejpam-4087	207	22	dt	dt	X
ejpam-4087	207	23	]	]	PUNCT
ejpam-4087	207	24	,	,	PUNCT
ejpam-4087	207	25	u2,n+1	u2,n+1	PROPN
ejpam-4087	207	26	(	(	PUNCT
ejpam-4087	207	27	x	x	NOUN
ejpam-4087	207	28	,	,	PUNCT
ejpam-4087	207	29	α	α	NOUN
ejpam-4087	207	30	)	)	PUNCT
ejpam-4087	207	31	=	=	PUNCT
ejpam-4087	208	1	l−1	l−1	PROPN
ejpam-4087	209	1	[	[	X
ejpam-4087	209	2	∫	∫	X
ejpam-4087	209	3	x	x	SYM
ejpam-4087	209	4	0	0	PUNCT
ejpam-4087	209	5	[	[	PUNCT
ejpam-4087	209	6	(	(	PUNCT
ejpam-4087	209	7	x−	x−	PROPN
ejpam-4087	209	8	t)u1,n	t)u1,n	X
ejpam-4087	209	9	(	(	PUNCT
ejpam-4087	209	10	t	t	PROPN
ejpam-4087	209	11	,	,	PUNCT
ejpam-4087	209	12	α)−	α)−	PROPN
ejpam-4087	209	13	u2,n	u2,n	PROPN
ejpam-4087	209	14	(	(	PUNCT
ejpam-4087	209	15	t	t	PROPN
ejpam-4087	209	16	,	,	PUNCT
ejpam-4087	209	17	α	α	NOUN
ejpam-4087	209	18	)	)	PUNCT
ejpam-4087	209	19	]	]	PUNCT
ejpam-4087	210	1	dt	dt	X
ejpam-4087	210	2	]	]	PUNCT
ejpam-4087	210	3	,	,	PUNCT
ejpam-4087	210	4	n	n	PROPN
ejpam-4087	210	5	=	=	SYM
ejpam-4087	210	6	0	0	NUM
ejpam-4087	210	7	,	,	PUNCT
ejpam-4087	210	8	1	1	NUM
ejpam-4087	210	9	,	,	PUNCT
ejpam-4087	210	10	2	2	NUM
ejpam-4087	210	11	,	,	PUNCT
ejpam-4087	210	12	.	.	PUNCT
ejpam-4087	210	13	.	.	PUNCT
ejpam-4087	210	14	.	.	PUNCT
ejpam-4087	211	1	(	(	PUNCT
ejpam-4087	211	2	15	15	NUM
ejpam-4087	211	3	)	)	PUNCT
ejpam-4087	211	4	m.	m.	NOUN
ejpam-4087	211	5	t.	t.	PROPN
ejpam-4087	211	6	younis	younis	PROPN
ejpam-4087	211	7	,	,	PUNCT
ejpam-4087	211	8	w.	w.	PROPN
ejpam-4087	211	9	al	al	PROPN
ejpam-4087	211	10	-	-	PUNCT
ejpam-4087	211	11	hayani	hayani	PROPN
ejpam-4087	211	12	/	/	SYM
ejpam-4087	211	13	eur	eur	PROPN
ejpam-4087	211	14	.	.	PUNCT
ejpam-4087	212	1	j.	j.	PROPN
ejpam-4087	212	2	pure	pure	PROPN
ejpam-4087	212	3	appl	appl	PROPN
ejpam-4087	212	4	.	.	PROPN
ejpam-4087	212	5	math	math	PROPN
ejpam-4087	212	6	,	,	PUNCT
ejpam-4087	212	7	15	15	NUM
ejpam-4087	212	8	(	(	PUNCT
ejpam-4087	212	9	1	1	NUM
ejpam-4087	212	10	)	)	PUNCT
ejpam-4087	212	11	(	(	PUNCT
ejpam-4087	212	12	2022	2022	NUM
ejpam-4087	212	13	)	)	PUNCT
ejpam-4087	212	14	,	,	PUNCT
ejpam-4087	212	15	290	290	NUM
ejpam-4087	212	16	-	-	SYM
ejpam-4087	212	17	313	313	NUM
ejpam-4087	212	18	298	298	NUM
ejpam-4087	212	19	and	and	CCONJ
ejpam-4087	212	20	the	the	DET
ejpam-4087	212	21	upper	upper	ADJ
ejpam-4087	212	22	iterations	iteration	NOUN
ejpam-4087	212	23	(	(	PUNCT
ejpam-4087	212	24	u	u	NOUN
ejpam-4087	212	25	)	)	PUNCT
ejpam-4087	212	26	are	be	AUX
ejpam-4087	212	27	{	{	PUNCT
ejpam-4087	212	28	u1,0	u1,0	PROPN
ejpam-4087	212	29	(	(	PUNCT
ejpam-4087	212	30	x	x	X
ejpam-4087	212	31	,	,	PUNCT
ejpam-4087	212	32	α	α	NOUN
ejpam-4087	212	33	)	)	PUNCT
ejpam-4087	212	34	=	=	SYM
ejpam-4087	213	1	2α+	2α+	NUM
ejpam-4087	213	2	α2x+	α2x+	INTJ
ejpam-4087	213	3	l−1f1	l−1f1	VERB
ejpam-4087	213	4	(	(	PUNCT
ejpam-4087	213	5	x	x	NOUN
ejpam-4087	213	6	,	,	PUNCT
ejpam-4087	213	7	α	α	NOUN
ejpam-4087	213	8	)	)	PUNCT
ejpam-4087	213	9	,	,	PUNCT
ejpam-4087	213	10	u2,0	u2,0	PROPN
ejpam-4087	213	11	(	(	PUNCT
ejpam-4087	213	12	x	x	PROPN
ejpam-4087	213	13	,	,	PUNCT
ejpam-4087	213	14	α	α	NOUN
ejpam-4087	213	15	)	)	PUNCT
ejpam-4087	213	16	=	=	PUNCT
ejpam-4087	213	17	(	(	PUNCT
ejpam-4087	213	18	2α−	2α−	NUM
ejpam-4087	213	19	1	1	NUM
ejpam-4087	213	20	)	)	PUNCT
ejpam-4087	213	21	+	+	CCONJ
ejpam-4087	213	22	(	(	PUNCT
ejpam-4087	213	23	3α2	3α2	NUM
ejpam-4087	213	24	−	−	PROPN
ejpam-4087	213	25	α	α	PROPN
ejpam-4087	213	26	)	)	PUNCT
ejpam-4087	213	27	x+	x+	PROPN
ejpam-4087	214	1	l−1f2	l−1f2	NOUN
ejpam-4087	214	2	(	(	PUNCT
ejpam-4087	214	3	x	x	NOUN
ejpam-4087	214	4	,	,	PUNCT
ejpam-4087	214	5	α	α	NOUN
ejpam-4087	214	6	)	)	PUNCT
ejpam-4087	214	7	,	,	PUNCT
ejpam-4087	214	8	{	{	PUNCT
ejpam-4087	214	9	u1,n+1	u1,n+1	X
ejpam-4087	214	10	(	(	PUNCT
ejpam-4087	214	11	x	x	NOUN
ejpam-4087	214	12	,	,	PUNCT
ejpam-4087	214	13	α	α	NOUN
ejpam-4087	214	14	)	)	PUNCT
ejpam-4087	214	15	=	=	PUNCT
ejpam-4087	215	1	l−1	l−1	PROPN
ejpam-4087	216	1	[	[	X
ejpam-4087	216	2	∫	∫	X
ejpam-4087	216	3	x	x	SYM
ejpam-4087	216	4	0	0	PUNCT
ejpam-4087	217	1	[	[	X
ejpam-4087	217	2	u1,n	u1,n	PROPN
ejpam-4087	217	3	(	(	PUNCT
ejpam-4087	217	4	t	t	PROPN
ejpam-4087	217	5	,	,	PUNCT
ejpam-4087	217	6	α	α	NOUN
ejpam-4087	217	7	)	)	PUNCT
ejpam-4087	217	8	+	+	CCONJ
ejpam-4087	217	9	(	(	PUNCT
ejpam-4087	217	10	x−	x−	PROPN
ejpam-4087	217	11	t)u2,n	t)u2,n	PROPN
ejpam-4087	217	12	(	(	PUNCT
ejpam-4087	217	13	t	t	PROPN
ejpam-4087	217	14	,	,	PUNCT
ejpam-4087	217	15	α	α	NOUN
ejpam-4087	217	16	)	)	PUNCT
ejpam-4087	217	17	]	]	PUNCT
ejpam-4087	217	18	dt	dt	X
ejpam-4087	217	19	]	]	PUNCT
ejpam-4087	217	20	,	,	PUNCT
ejpam-4087	217	21	u2,n+1	u2,n+1	PROPN
ejpam-4087	217	22	(	(	PUNCT
ejpam-4087	217	23	x	x	NOUN
ejpam-4087	217	24	,	,	PUNCT
ejpam-4087	217	25	α	α	NOUN
ejpam-4087	217	26	)	)	PUNCT
ejpam-4087	217	27	=	=	PUNCT
ejpam-4087	218	1	l−1	l−1	PROPN
ejpam-4087	219	1	[	[	X
ejpam-4087	219	2	∫	∫	X
ejpam-4087	219	3	x	x	SYM
ejpam-4087	219	4	0	0	PUNCT
ejpam-4087	220	1	[	[	X
ejpam-4087	220	2	(	(	PUNCT
ejpam-4087	220	3	x−	x−	PROPN
ejpam-4087	220	4	t)u1,n	t)u1,n	X
ejpam-4087	220	5	(	(	PUNCT
ejpam-4087	220	6	t	t	PROPN
ejpam-4087	220	7	,	,	PUNCT
ejpam-4087	220	8	α)−	α)−	PROPN
ejpam-4087	220	9	u2,n	u2,n	PROPN
ejpam-4087	220	10	(	(	PUNCT
ejpam-4087	220	11	t	t	PROPN
ejpam-4087	220	12	,	,	PUNCT
ejpam-4087	220	13	α	α	NOUN
ejpam-4087	220	14	)	)	PUNCT
ejpam-4087	220	15	]	]	PUNCT
ejpam-4087	220	16	dt	dt	X
ejpam-4087	220	17	]	]	PUNCT
ejpam-4087	220	18	,	,	PUNCT
ejpam-4087	220	19	n	n	PROPN
ejpam-4087	220	20	=	=	SYM
ejpam-4087	220	21	0	0	NUM
ejpam-4087	220	22	,	,	PUNCT
ejpam-4087	220	23	1	1	NUM
ejpam-4087	220	24	,	,	PUNCT
ejpam-4087	220	25	2	2	NUM
ejpam-4087	220	26	,	,	PUNCT
ejpam-4087	220	27	.	.	PUNCT
ejpam-4087	220	28	.	.	PUNCT
ejpam-4087	220	29	.	.	PUNCT
ejpam-4087	221	1	(	(	PUNCT
ejpam-4087	221	2	16	16	X
ejpam-4087	221	3	)	)	PUNCT
ejpam-4087	221	4	applying	apply	VERB
ejpam-4087	221	5	the	the	DET
ejpam-4087	221	6	fuzzy	fuzzy	ADJ
ejpam-4087	221	7	modified	modify	VERB
ejpam-4087	221	8	technique	technique	NOUN
ejpam-4087	221	9	(	(	PUNCT
ejpam-4087	221	10	mt	mt	PROPN
ejpam-4087	221	11	)	)	PUNCT
ejpam-4087	222	1	[	[	X
ejpam-4087	222	2	11	11	NUM
ejpam-4087	222	3	]	]	PUNCT
ejpam-4087	222	4	,	,	PUNCT
ejpam-4087	222	5	the	the	DET
ejpam-4087	222	6	lower	low	ADJ
ejpam-4087	222	7	iterations	iteration	NOUN
ejpam-4087	222	8	(	(	PUNCT
ejpam-4087	222	9	l	l	NOUN
ejpam-4087	222	10	)	)	PUNCT
ejpam-4087	222	11	are	be	AUX
ejpam-4087	222	12	then	then	ADV
ejpam-4087	222	13	determined	determined	ADJ
ejpam-4087	222	14	in	in	ADP
ejpam-4087	222	15	the	the	DET
ejpam-4087	222	16	following	follow	VERB
ejpam-4087	222	17	recursive	recursive	ADJ
ejpam-4087	222	18	way	way	NOUN
ejpam-4087	222	19	:	:	PUNCT
ejpam-4087	222	20	{	{	PUNCT
ejpam-4087	222	21	u1,0	u1,0	PROPN
ejpam-4087	222	22	(	(	PUNCT
ejpam-4087	222	23	x	x	X
ejpam-4087	222	24	,	,	PUNCT
ejpam-4087	222	25	α	α	NOUN
ejpam-4087	222	26	)	)	PUNCT
ejpam-4087	222	27	=	=	PUNCT
ejpam-4087	222	28	(	(	PUNCT
ejpam-4087	222	29	3−	3−	NUM
ejpam-4087	222	30	α	α	NOUN
ejpam-4087	222	31	)	)	PUNCT
ejpam-4087	223	1	+	+	CCONJ
ejpam-4087	223	2	(	(	PUNCT
ejpam-4087	223	3	2−	2−	NUM
ejpam-4087	223	4	α)x	α)x	NUM
ejpam-4087	223	5	,	,	PUNCT
ejpam-4087	223	6	u2,0	u2,0	PROPN
ejpam-4087	223	7	(	(	PUNCT
ejpam-4087	223	8	x	x	NOUN
ejpam-4087	223	9	,	,	PUNCT
ejpam-4087	223	10	α	α	NOUN
ejpam-4087	223	11	)	)	PUNCT
ejpam-4087	223	12	=	=	SYM
ejpam-4087	224	1	(	(	PUNCT
ejpam-4087	224	2	3−	3−	NUM
ejpam-4087	224	3	2α	2α	NOUN
ejpam-4087	224	4	)	)	PUNCT
ejpam-4087	225	1	+	+	CCONJ
ejpam-4087	225	2	(	(	PUNCT
ejpam-4087	225	3	4−	4−	NOUN
ejpam-4087	225	4	2α)x,	2α)x,	NUM
ejpam-4087	225	5	u1,1	u1,1	NOUN
ejpam-4087	225	6	(	(	PUNCT
ejpam-4087	225	7	x	x	NOUN
ejpam-4087	225	8	,	,	PUNCT
ejpam-4087	225	9	α	α	NOUN
ejpam-4087	225	10	)	)	PUNCT
ejpam-4087	225	11	=	=	SYM
ejpam-4087	225	12	l−1f1	l−1f1	NOUN
ejpam-4087	225	13	(	(	PUNCT
ejpam-4087	225	14	x	x	NOUN
ejpam-4087	225	15	,	,	PUNCT
ejpam-4087	225	16	α	α	NOUN
ejpam-4087	225	17	)	)	PUNCT
ejpam-4087	225	18	+	+	CCONJ
ejpam-4087	226	1	l−1	l−1	PROPN
ejpam-4087	226	2	[	[	X
ejpam-4087	226	3	∫	∫	NOUN
ejpam-4087	226	4	x	x	SYM
ejpam-4087	226	5	0	0	PUNCT
ejpam-4087	226	6	[	[	PUNCT
ejpam-4087	226	7	u1,0	u1,0	PROPN
ejpam-4087	226	8	(	(	PUNCT
ejpam-4087	226	9	t	t	PROPN
ejpam-4087	226	10	,	,	PUNCT
ejpam-4087	226	11	α	α	NOUN
ejpam-4087	226	12	)	)	PUNCT
ejpam-4087	226	13	+	+	CCONJ
ejpam-4087	226	14	(	(	PUNCT
ejpam-4087	226	15	x−	x−	PROPN
ejpam-4087	226	16	t)u2,0	t)u2,0	PROPN
ejpam-4087	226	17	(	(	PUNCT
ejpam-4087	226	18	t	t	PROPN
ejpam-4087	226	19	,	,	PUNCT
ejpam-4087	226	20	α	α	NOUN
ejpam-4087	226	21	)	)	PUNCT
ejpam-4087	226	22	]	]	PUNCT
ejpam-4087	227	1	dt	dt	X
ejpam-4087	227	2	]	]	PUNCT
ejpam-4087	227	3	,	,	PUNCT
ejpam-4087	227	4	u2,1	u2,1	PROPN
ejpam-4087	227	5	(	(	PUNCT
ejpam-4087	227	6	x	x	NOUN
ejpam-4087	227	7	,	,	PUNCT
ejpam-4087	227	8	α	α	NOUN
ejpam-4087	227	9	)	)	PUNCT
ejpam-4087	227	10	=	=	SYM
ejpam-4087	228	1	l−1f2	l−1f2	NOUN
ejpam-4087	228	2	(	(	PUNCT
ejpam-4087	228	3	x	x	X
ejpam-4087	228	4	,	,	PUNCT
ejpam-4087	228	5	α	α	NOUN
ejpam-4087	228	6	)	)	PUNCT
ejpam-4087	228	7	+	+	CCONJ
ejpam-4087	229	1	l−1	l−1	PROPN
ejpam-4087	230	1	[	[	X
ejpam-4087	230	2	∫	∫	NOUN
ejpam-4087	230	3	x	x	SYM
ejpam-4087	230	4	0	0	PUNCT
ejpam-4087	230	5	[	[	PUNCT
ejpam-4087	230	6	(	(	PUNCT
ejpam-4087	230	7	x−	x−	PROPN
ejpam-4087	230	8	t)u1,0	t)u1,0	NOUN
ejpam-4087	230	9	(	(	PUNCT
ejpam-4087	230	10	t	t	PROPN
ejpam-4087	230	11	,	,	PUNCT
ejpam-4087	230	12	α)−	α)−	PROPN
ejpam-4087	230	13	u2,0	u2,0	PROPN
ejpam-4087	230	14	(	(	PUNCT
ejpam-4087	230	15	t	t	PROPN
ejpam-4087	230	16	,	,	PUNCT
ejpam-4087	230	17	α	α	NOUN
ejpam-4087	230	18	)	)	PUNCT
ejpam-4087	230	19	]	]	PUNCT
ejpam-4087	230	20	dt	dt	X
ejpam-4087	230	21	]	]	PUNCT
ejpam-4087	230	22	,	,	PUNCT
ejpam-4087	230	23			PROPN
ejpam-4087	230	24	u1,n+1	u1,n+1	PROPN
ejpam-4087	230	25	(	(	PUNCT
ejpam-4087	230	26	x	x	NOUN
ejpam-4087	230	27	,	,	PUNCT
ejpam-4087	230	28	α	α	NOUN
ejpam-4087	230	29	)	)	PUNCT
ejpam-4087	230	30	=	=	PUNCT
ejpam-4087	231	1	l−1	l−1	PROPN
ejpam-4087	232	1	[	[	X
ejpam-4087	232	2	∫	∫	X
ejpam-4087	232	3	x	x	SYM
ejpam-4087	232	4	0	0	PUNCT
ejpam-4087	232	5	[	[	PUNCT
ejpam-4087	232	6	u1,n	u1,n	PROPN
ejpam-4087	232	7	(	(	PUNCT
ejpam-4087	232	8	t	t	PROPN
ejpam-4087	232	9	,	,	PUNCT
ejpam-4087	232	10	α	α	NOUN
ejpam-4087	232	11	)	)	PUNCT
ejpam-4087	232	12	+	+	CCONJ
ejpam-4087	232	13	(	(	PUNCT
ejpam-4087	232	14	x−	x−	PROPN
ejpam-4087	232	15	t)u2,n	t)u2,n	PROPN
ejpam-4087	232	16	(	(	PUNCT
ejpam-4087	232	17	t	t	PROPN
ejpam-4087	232	18	,	,	PUNCT
ejpam-4087	232	19	α	α	NOUN
ejpam-4087	232	20	)	)	PUNCT
ejpam-4087	232	21	]	]	PUNCT
ejpam-4087	232	22	dt	dt	X
ejpam-4087	232	23	]	]	PUNCT
ejpam-4087	232	24	,	,	PUNCT
ejpam-4087	232	25	u2,n+1	u2,n+1	PROPN
ejpam-4087	232	26	(	(	PUNCT
ejpam-4087	232	27	x	x	NOUN
ejpam-4087	232	28	,	,	PUNCT
ejpam-4087	232	29	α	α	NOUN
ejpam-4087	232	30	)	)	PUNCT
ejpam-4087	232	31	=	=	PUNCT
ejpam-4087	233	1	l−1	l−1	PROPN
ejpam-4087	234	1	[	[	X
ejpam-4087	234	2	∫	∫	X
ejpam-4087	234	3	x	x	SYM
ejpam-4087	234	4	0	0	PUNCT
ejpam-4087	234	5	[	[	PUNCT
ejpam-4087	234	6	(	(	PUNCT
ejpam-4087	234	7	x−	x−	PROPN
ejpam-4087	234	8	t)u1,n	t)u1,n	X
ejpam-4087	234	9	(	(	PUNCT
ejpam-4087	234	10	t	t	PROPN
ejpam-4087	234	11	,	,	PUNCT
ejpam-4087	234	12	α)−	α)−	PROPN
ejpam-4087	234	13	u2,n	u2,n	PROPN
ejpam-4087	234	14	(	(	PUNCT
ejpam-4087	234	15	t	t	PROPN
ejpam-4087	234	16	,	,	PUNCT
ejpam-4087	234	17	α	α	NOUN
ejpam-4087	234	18	)	)	PUNCT
ejpam-4087	234	19	]	]	PUNCT
ejpam-4087	235	1	dt	dt	X
ejpam-4087	235	2	]	]	PUNCT
ejpam-4087	235	3	,	,	PUNCT
ejpam-4087	235	4	n	n	NOUN
ejpam-4087	235	5	=	=	SYM
ejpam-4087	235	6	1	1	NUM
ejpam-4087	235	7	,	,	PUNCT
ejpam-4087	235	8	2	2	NUM
ejpam-4087	235	9	,	,	PUNCT
ejpam-4087	235	10	3	3	NUM
ejpam-4087	235	11	,	,	PUNCT
ejpam-4087	235	12	.	.	PUNCT
ejpam-4087	235	13	.	.	PUNCT
ejpam-4087	235	14	.	.	PUNCT
ejpam-4087	236	1	(	(	PUNCT
ejpam-4087	236	2	17	17	NUM
ejpam-4087	236	3	)	)	PUNCT
ejpam-4087	236	4	and	and	CCONJ
ejpam-4087	236	5	the	the	DET
ejpam-4087	236	6	upper	upper	ADJ
ejpam-4087	236	7	iterations	iteration	NOUN
ejpam-4087	236	8	(	(	PUNCT
ejpam-4087	236	9	u	u	NOUN
ejpam-4087	236	10	)	)	PUNCT
ejpam-4087	236	11	are	be	AUX
ejpam-4087	236	12	{	{	PUNCT
ejpam-4087	236	13	u1,0	u1,0	PROPN
ejpam-4087	236	14	(	(	PUNCT
ejpam-4087	236	15	x	x	X
ejpam-4087	236	16	,	,	PUNCT
ejpam-4087	236	17	α	α	NOUN
ejpam-4087	236	18	)	)	PUNCT
ejpam-4087	236	19	=	=	SYM
ejpam-4087	237	1	2α+	2α+	NUM
ejpam-4087	237	2	α2x	α2x	NUM
ejpam-4087	237	3	,	,	PUNCT
ejpam-4087	237	4	u2,0	u2,0	PROPN
ejpam-4087	237	5	(	(	PUNCT
ejpam-4087	237	6	x	x	NOUN
ejpam-4087	237	7	,	,	PUNCT
ejpam-4087	237	8	α	α	NOUN
ejpam-4087	237	9	)	)	PUNCT
ejpam-4087	237	10	=	=	PUNCT
ejpam-4087	238	1	(	(	PUNCT
ejpam-4087	238	2	2α−	2α−	NUM
ejpam-4087	238	3	1	1	NUM
ejpam-4087	238	4	)	)	PUNCT
ejpam-4087	238	5	+	+	CCONJ
ejpam-4087	238	6	(	(	PUNCT
ejpam-4087	238	7	3α2	3α2	NUM
ejpam-4087	238	8	−	−	PROPN
ejpam-4087	238	9	α	α	NOUN
ejpam-4087	238	10	)	)	PUNCT
ejpam-4087	238	11	x	x	NOUN
ejpam-4087	238	12	,	,	PUNCT
ejpam-4087	238	13	{	{	PUNCT
ejpam-4087	238	14	u1,1	u1,1	PROPN
ejpam-4087	238	15	(	(	PUNCT
ejpam-4087	238	16	x	x	NOUN
ejpam-4087	238	17	,	,	PUNCT
ejpam-4087	238	18	α	α	NOUN
ejpam-4087	238	19	)	)	PUNCT
ejpam-4087	238	20	=	=	SYM
ejpam-4087	238	21	l−1f1	l−1f1	NOUN
ejpam-4087	238	22	(	(	PUNCT
ejpam-4087	238	23	x	x	NOUN
ejpam-4087	238	24	,	,	PUNCT
ejpam-4087	238	25	α	α	NOUN
ejpam-4087	238	26	)	)	PUNCT
ejpam-4087	239	1	+	+	CCONJ
ejpam-4087	240	1	l−1	l−1	PROPN
ejpam-4087	241	1	[	[	X
ejpam-4087	241	2	∫	∫	NOUN
ejpam-4087	241	3	x	x	SYM
ejpam-4087	241	4	0	0	PUNCT
ejpam-4087	242	1	[	[	X
ejpam-4087	242	2	u1,0	u1,0	PROPN
ejpam-4087	242	3	(	(	PUNCT
ejpam-4087	242	4	t	t	PROPN
ejpam-4087	242	5	,	,	PUNCT
ejpam-4087	242	6	α	α	NOUN
ejpam-4087	242	7	)	)	PUNCT
ejpam-4087	242	8	+	+	CCONJ
ejpam-4087	242	9	(	(	PUNCT
ejpam-4087	242	10	x−	x−	PROPN
ejpam-4087	242	11	t)u2,0	t)u2,0	PROPN
ejpam-4087	242	12	(	(	PUNCT
ejpam-4087	242	13	t	t	PROPN
ejpam-4087	242	14	,	,	PUNCT
ejpam-4087	242	15	α	α	NOUN
ejpam-4087	242	16	)	)	PUNCT
ejpam-4087	242	17	]	]	PUNCT
ejpam-4087	243	1	dt	dt	X
ejpam-4087	243	2	]	]	PUNCT
ejpam-4087	243	3	,	,	PUNCT
ejpam-4087	243	4	u2,1	u2,1	PROPN
ejpam-4087	243	5	(	(	PUNCT
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ejpam-4087	243	7	,	,	PUNCT
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ejpam-4087	243	9	)	)	PUNCT
ejpam-4087	243	10	=	=	SYM
ejpam-4087	244	1	l−1f2	l−1f2	NOUN
ejpam-4087	244	2	(	(	PUNCT
ejpam-4087	244	3	x	x	X
ejpam-4087	244	4	,	,	PUNCT
ejpam-4087	244	5	α	α	NOUN
ejpam-4087	244	6	)	)	PUNCT
ejpam-4087	244	7	+	+	CCONJ
ejpam-4087	245	1	l−1	l−1	PROPN
ejpam-4087	246	1	[	[	X
ejpam-4087	246	2	∫	∫	NOUN
ejpam-4087	246	3	x	x	SYM
ejpam-4087	246	4	0	0	PUNCT
ejpam-4087	247	1	[	[	X
ejpam-4087	247	2	(	(	PUNCT
ejpam-4087	247	3	x−	x−	PROPN
ejpam-4087	247	4	t)u1,0	t)u1,0	NOUN
ejpam-4087	247	5	(	(	PUNCT
ejpam-4087	247	6	t	t	PROPN
ejpam-4087	247	7	,	,	PUNCT
ejpam-4087	247	8	α)−	α)−	PROPN
ejpam-4087	247	9	u2,0	u2,0	PROPN
ejpam-4087	247	10	(	(	PUNCT
ejpam-4087	247	11	t	t	PROPN
ejpam-4087	247	12	,	,	PUNCT
ejpam-4087	247	13	α	α	NOUN
ejpam-4087	247	14	)	)	PUNCT
ejpam-4087	247	15	]	]	PUNCT
ejpam-4087	248	1	dt	dt	X
ejpam-4087	248	2	]	]	PUNCT
ejpam-4087	248	3	,	,	PUNCT
ejpam-4087	248	4	{	{	PUNCT
ejpam-4087	248	5	u1,n+1	u1,n+1	X
ejpam-4087	248	6	(	(	PUNCT
ejpam-4087	248	7	x	x	NOUN
ejpam-4087	248	8	,	,	PUNCT
ejpam-4087	248	9	α	α	NOUN
ejpam-4087	248	10	)	)	PUNCT
ejpam-4087	248	11	=	=	PUNCT
ejpam-4087	249	1	l−1	l−1	PROPN
ejpam-4087	250	1	[	[	X
ejpam-4087	250	2	∫	∫	X
ejpam-4087	250	3	x	x	SYM
ejpam-4087	250	4	0	0	PUNCT
ejpam-4087	251	1	[	[	X
ejpam-4087	251	2	u1,n	u1,n	PROPN
ejpam-4087	251	3	(	(	PUNCT
ejpam-4087	251	4	t	t	PROPN
ejpam-4087	251	5	,	,	PUNCT
ejpam-4087	251	6	α	α	NOUN
ejpam-4087	251	7	)	)	PUNCT
ejpam-4087	251	8	+	+	CCONJ
ejpam-4087	251	9	(	(	PUNCT
ejpam-4087	251	10	x−	x−	PROPN
ejpam-4087	251	11	t)u2,n	t)u2,n	PROPN
ejpam-4087	251	12	(	(	PUNCT
ejpam-4087	251	13	t	t	PROPN
ejpam-4087	251	14	,	,	PUNCT
ejpam-4087	251	15	α	α	NOUN
ejpam-4087	251	16	)	)	PUNCT
ejpam-4087	251	17	]	]	PUNCT
ejpam-4087	251	18	dt	dt	X
ejpam-4087	251	19	]	]	PUNCT
ejpam-4087	251	20	,	,	PUNCT
ejpam-4087	251	21	u2,n+1	u2,n+1	PROPN
ejpam-4087	251	22	(	(	PUNCT
ejpam-4087	251	23	x	x	NOUN
ejpam-4087	251	24	,	,	PUNCT
ejpam-4087	251	25	α	α	NOUN
ejpam-4087	251	26	)	)	PUNCT
ejpam-4087	251	27	=	=	PUNCT
ejpam-4087	252	1	l−1	l−1	PROPN
ejpam-4087	253	1	[	[	X
ejpam-4087	253	2	∫	∫	X
ejpam-4087	253	3	x	x	SYM
ejpam-4087	253	4	0	0	PUNCT
ejpam-4087	254	1	[	[	X
ejpam-4087	254	2	(	(	PUNCT
ejpam-4087	254	3	x−	x−	PROPN
ejpam-4087	254	4	t)u1,n	t)u1,n	X
ejpam-4087	254	5	(	(	PUNCT
ejpam-4087	254	6	t	t	PROPN
ejpam-4087	254	7	,	,	PUNCT
ejpam-4087	254	8	α)−	α)−	PROPN
ejpam-4087	254	9	u2,n	u2,n	PROPN
ejpam-4087	254	10	(	(	PUNCT
ejpam-4087	254	11	t	t	PROPN
ejpam-4087	254	12	,	,	PUNCT
ejpam-4087	254	13	α	α	NOUN
ejpam-4087	254	14	)	)	PUNCT
ejpam-4087	254	15	]	]	PUNCT
ejpam-4087	254	16	dt	dt	X
ejpam-4087	254	17	]	]	PUNCT
ejpam-4087	254	18	,	,	PUNCT
ejpam-4087	254	19	n	n	NOUN
ejpam-4087	254	20	=	=	SYM
ejpam-4087	254	21	1	1	NUM
ejpam-4087	254	22	,	,	PUNCT
ejpam-4087	254	23	2	2	NUM
ejpam-4087	254	24	,	,	PUNCT
ejpam-4087	254	25	3	3	NUM
ejpam-4087	254	26	,	,	PUNCT
ejpam-4087	254	27	.	.	PUNCT
ejpam-4087	254	28	.	.	PUNCT
ejpam-4087	254	29	.	.	PUNCT
ejpam-4087	255	1	(	(	PUNCT
ejpam-4087	255	2	18	18	NUM
ejpam-4087	255	3	)	)	PUNCT
ejpam-4087	255	4	in	in	ADP
ejpam-4087	255	5	tables	table	NOUN
ejpam-4087	255	6	1–4	1–4	NUM
ejpam-4087	255	7	we	we	PRON
ejpam-4087	255	8	shown	show	VERB
ejpam-4087	255	9	the	the	DET
ejpam-4087	255	10	maximum	maximum	ADJ
ejpam-4087	255	11	errors	error	NOUN
ejpam-4087	255	12	between	between	ADP
ejpam-4087	255	13	the	the	DET
ejpam-4087	255	14	exact	exact	ADJ
ejpam-4087	255	15	solutions	solution	NOUN
ejpam-4087	255	16	and	and	CCONJ
ejpam-4087	255	17	by	by	ADP
ejpam-4087	255	18	fuzzy	fuzzy	ADJ
ejpam-4087	255	19	standard	standard	PROPN
ejpam-4087	255	20	adm	adm	PROPN
ejpam-4087	255	21	and	and	CCONJ
ejpam-4087	255	22	fuzzy	fuzzy	ADJ
ejpam-4087	255	23	mt	mt	PROPN
ejpam-4087	255	24	for	for	ADP
ejpam-4087	255	25	different	different	ADJ
ejpam-4087	255	26	norms	norm	NOUN
ejpam-4087	255	27	on	on	ADP
ejpam-4087	255	28	the	the	DET
ejpam-4087	255	29	interval	interval	NOUN
ejpam-4087	255	30	[	[	X
ejpam-4087	255	31	0	0	NUM
ejpam-4087	255	32	,	,	PUNCT
ejpam-4087	255	33	1	1	NUM
ejpam-4087	255	34	]	]	PUNCT
ejpam-4087	255	35	,	,	PUNCT
ejpam-4087	255	36	where	where	SCONJ
ejpam-4087	255	37	n	n	PRON
ejpam-4087	255	38	represents	represent	VERB
ejpam-4087	255	39	the	the	DET
ejpam-4087	255	40	number	number	NOUN
ejpam-4087	255	41	of	of	ADP
ejpam-4087	255	42	iterations	iteration	NOUN
ejpam-4087	255	43	.	.	PUNCT
ejpam-4087	256	1	table	table	NOUN
ejpam-4087	256	2	1	1	NUM
ejpam-4087	256	3	.	.	PUNCT
ejpam-4087	256	4	norm	norm	NOUN
ejpam-4087	256	5	error	error	NOUN
ejpam-4087	256	6	for	for	ADP
ejpam-4087	256	7	ũ1	ũ1	PROPN
ejpam-4087	256	8	(	(	PUNCT
ejpam-4087	256	9	x	x	NOUN
ejpam-4087	256	10	,	,	PUNCT
ejpam-4087	256	11	α	α	NOUN
ejpam-4087	256	12	)	)	PUNCT
ejpam-4087	256	13	(	(	PUNCT
ejpam-4087	256	14	problem	problem	NOUN
ejpam-4087	256	15	1	1	NUM
ejpam-4087	256	16	)	)	PUNCT
ejpam-4087	256	17	when	when	SCONJ
ejpam-4087	256	18	α	α	X
ejpam-4087	256	19	=	=	VERB
ejpam-4087	257	1	0.3	0.3	NUM
ejpam-4087	257	2	l∞	l∞	NOUN
ejpam-4087	258	1	[	[	X
ejpam-4087	258	2	0	0	NUM
ejpam-4087	258	3	,	,	PUNCT
ejpam-4087	258	4	1	1	NUM
ejpam-4087	258	5	]	]	PUNCT
ejpam-4087	258	6	l2,s	l2,s	PROPN
ejpam-4087	259	1	[	[	X
ejpam-4087	259	2	0	0	NUM
ejpam-4087	259	3	,	,	PUNCT
ejpam-4087	259	4	1	1	NUM
ejpam-4087	259	5	]	]	PUNCT
ejpam-4087	260	1	l2,i	l2,i	ADV
ejpam-4087	260	2	[	[	X
ejpam-4087	260	3	0	0	NUM
ejpam-4087	260	4	,	,	PUNCT
ejpam-4087	260	5	1	1	NUM
ejpam-4087	260	6	]	]	PUNCT
ejpam-4087	260	7	n	n	CCONJ
ejpam-4087	260	8	i	i	PRON
ejpam-4087	260	9	adm	adm	PROPN
ejpam-4087	260	10	mt	mt	PROPN
ejpam-4087	260	11	adm	adm	PROPN
ejpam-4087	260	12	mt	mt	PROPN
ejpam-4087	260	13	adm	adm	PROPN
ejpam-4087	260	14	mt	mt	PROPN
ejpam-4087	260	15	3	3	NUM
ejpam-4087	260	16	l	l	NOUN
ejpam-4087	260	17	8.861e	8.861e	NUM
ejpam-4087	260	18	−	−	NOUN
ejpam-4087	260	19	06	06	NUM
ejpam-4087	260	20	1.112e	1.112e	NUM
ejpam-4087	260	21	−	−	PROPN
ejpam-4087	260	22	04	04	NUM
ejpam-4087	260	23	9.560e	9.560e	NUM
ejpam-4087	260	24	−	−	NUM
ejpam-4087	260	25	06	06	NUM
ejpam-4087	260	26	1.224e	1.224e	NUM
ejpam-4087	260	27	−	−	NOUN
ejpam-4087	260	28	04	04	NUM
ejpam-4087	260	29	2.017e	2.017e	NUM
ejpam-4087	260	30	−	−	PROPN
ejpam-4087	260	31	06	06	NUM
ejpam-4087	260	32	2.681e	2.681e	VERB
ejpam-4087	260	33	−	−	NOUN
ejpam-4087	261	1	05	05	NUM
ejpam-4087	262	1	u	u	NOUN
ejpam-4087	262	2	1.499e	1.499e	NUM
ejpam-4087	262	3	−	−	PROPN
ejpam-4087	262	4	06	06	NUM
ejpam-4087	263	1	6.271e	6.271e	NUM
ejpam-4087	263	2	−	−	PROPN
ejpam-4087	263	3	05	05	NUM
ejpam-4087	264	1	1.620e	1.620e	NUM
ejpam-4087	264	2	−	−	NOUN
ejpam-4087	264	3	06	06	NUM
ejpam-4087	265	1	6.916e	6.916e	NUM
ejpam-4087	265	2	−	−	PROPN
ejpam-4087	265	3	05	05	NUM
ejpam-4087	266	1	3.435e	3.435e	NUM
ejpam-4087	266	2	−	−	PROPN
ejpam-4087	266	3	07	07	NUM
ejpam-4087	266	4	1.519e	1.519e	NUM
ejpam-4087	266	5	−	−	NOUN
ejpam-4087	266	6	05	05	NUM
ejpam-4087	266	7	4	4	NUM
ejpam-4087	266	8	l	l	NOUN
ejpam-4087	266	9	2.637e	2.637e	NOUN
ejpam-4087	266	10	−	−	NUM
ejpam-4087	266	11	08	08	NUM
ejpam-4087	267	1	1.289e	1.289e	NUM
ejpam-4087	267	2	−	−	PROPN
ejpam-4087	267	3	07	07	NUM
ejpam-4087	267	4	4.215e	4.215e	NOUN
ejpam-4087	267	5	−	−	PROPN
ejpam-4087	267	6	08	08	NUM
ejpam-4087	267	7	1.428e	1.428e	NUM
ejpam-4087	267	8	−	−	PROPN
ejpam-4087	267	9	07	07	NUM
ejpam-4087	267	10	1.177e	1.177e	NUM
ejpam-4087	267	11	−	−	NOUN
ejpam-4087	267	12	08	08	NUM
ejpam-4087	267	13	3.098e	3.098e	NUM
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ejpam-4087	267	44	−	−	NUM
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ejpam-4087	267	47	−	−	PROPN
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ejpam-4087	273	49	−	−	PROPN
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ejpam-4087	273	52	−	−	NUM
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ejpam-4087	273	57	−	−	NUM
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ejpam-4087	275	5	−	−	NUM
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ejpam-4087	276	2	−	−	NUM
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ejpam-4087	276	6	−	−	PROPN
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ejpam-4087	280	20	−	−	PROPN
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ejpam-4087	283	16	08	08	NUM
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ejpam-4087	283	18	−	−	PROPN
ejpam-4087	283	19	08	08	NUM
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ejpam-4087	283	21	−	−	PROPN
ejpam-4087	283	22	09	09	NUM
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ejpam-4087	283	24	−	−	NOUN
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ejpam-4087	283	28	−	−	PROPN
ejpam-4087	283	29	09	09	NUM
ejpam-4087	283	30	1.362e	1.362e	NUM
ejpam-4087	283	31	−	−	PROPN
ejpam-4087	283	32	08	08	NUM
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ejpam-4087	283	34	−	−	NOUN
ejpam-4087	283	35	09	09	NUM
ejpam-4087	283	36	1.711e	1.711e	NUM
ejpam-4087	283	37	−	−	NUM
ejpam-4087	283	38	08	08	NUM
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ejpam-4087	283	40	−	−	NOUN
ejpam-4087	283	41	09	09	NUM
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ejpam-4087	283	48	−	−	PROPN
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ejpam-4087	284	2	−	−	PROPN
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ejpam-4087	284	17	9.428e	9.428e	NOUN
ejpam-4087	284	18	−	−	NOUN
ejpam-4087	284	19	09	09	NUM
ejpam-4087	284	20	2.774e	2.774e	NUM
ejpam-4087	284	21	−	−	NOUN
ejpam-4087	284	22	09	09	NUM
ejpam-4087	284	23	7.792e	7.792e	NUM
ejpam-4087	284	24	−	−	NOUN
ejpam-4087	284	25	09	09	NUM
ejpam-4087	284	26	table	table	NOUN
ejpam-4087	284	27	4	4	NUM
ejpam-4087	284	28	.	.	PUNCT
ejpam-4087	284	29	norm	norm	NOUN
ejpam-4087	284	30	error	error	NOUN
ejpam-4087	284	31	for	for	ADP
ejpam-4087	284	32	ũ2	ũ2	PROPN
ejpam-4087	284	33	(	(	PUNCT
ejpam-4087	284	34	x	x	PROPN
ejpam-4087	284	35	,	,	PUNCT
ejpam-4087	284	36	α	α	NOUN
ejpam-4087	284	37	)	)	PUNCT
ejpam-4087	284	38	(	(	PUNCT
ejpam-4087	284	39	problem	problem	NOUN
ejpam-4087	284	40	1	1	NUM
ejpam-4087	284	41	)	)	PUNCT
ejpam-4087	284	42	when	when	SCONJ
ejpam-4087	284	43	α	α	PROPN
ejpam-4087	284	44	=	=	NOUN
ejpam-4087	285	1	0.9	0.9	NUM
ejpam-4087	285	2	l∞	l∞	NOUN
ejpam-4087	286	1	[	[	X
ejpam-4087	286	2	0	0	NUM
ejpam-4087	286	3	,	,	PUNCT
ejpam-4087	286	4	1	1	NUM
ejpam-4087	286	5	]	]	PUNCT
ejpam-4087	286	6	l2,s	l2,s	PROPN
ejpam-4087	287	1	[	[	X
ejpam-4087	287	2	0	0	NUM
ejpam-4087	287	3	,	,	PUNCT
ejpam-4087	287	4	1	1	NUM
ejpam-4087	287	5	]	]	PUNCT
ejpam-4087	288	1	l2,i	l2,i	ADV
ejpam-4087	288	2	[	[	X
ejpam-4087	288	3	0	0	NUM
ejpam-4087	288	4	,	,	PUNCT
ejpam-4087	288	5	1	1	NUM
ejpam-4087	288	6	]	]	PUNCT
ejpam-4087	288	7	n	n	CCONJ
ejpam-4087	288	8	i	i	PRON
ejpam-4087	288	9	adm	adm	PROPN
ejpam-4087	288	10	mt	mt	PROPN
ejpam-4087	288	11	adm	adm	PROPN
ejpam-4087	288	12	mt	mt	PROPN
ejpam-4087	288	13	adm	adm	PROPN
ejpam-4087	288	14	mt	mt	PROPN
ejpam-4087	288	15	3	3	NUM
ejpam-4087	288	16	l	l	NOUN
ejpam-4087	288	17	3.348e	3.348e	NUM
ejpam-4087	288	18	−	−	NOUN
ejpam-4087	288	19	06	06	NUM
ejpam-4087	288	20	2.314e	2.314e	NUM
ejpam-4087	288	21	−	−	NOUN
ejpam-4087	288	22	05	05	NUM
ejpam-4087	288	23	3.617e	3.617e	NUM
ejpam-4087	288	24	−	−	PROPN
ejpam-4087	288	25	06	06	NUM
ejpam-4087	289	1	2.545e	2.545e	NUM
ejpam-4087	289	2	−	−	NUM
ejpam-4087	289	3	05	05	NUM
ejpam-4087	290	1	7.657e	7.657e	NUM
ejpam-4087	291	1	−	−	NOUN
ejpam-4087	291	2	07	07	NUM
ejpam-4087	291	3	5.565e	5.565e	NOUN
ejpam-4087	291	4	−	−	PROPN
ejpam-4087	291	5	06	06	NUM
ejpam-4087	291	6	u	u	NOUN
ejpam-4087	291	7	2.144e	2.144e	PROPN
ejpam-4087	291	8	−	−	PROPN
ejpam-4087	291	9	06	06	NUM
ejpam-4087	291	10	1.220e	1.220e	NUM
ejpam-4087	291	11	−	−	PROPN
ejpam-4087	291	12	05	05	NUM
ejpam-4087	291	13	2.320e	2.320e	NOUN
ejpam-4087	291	14	−	−	PROPN
ejpam-4087	291	15	06	06	NUM
ejpam-4087	292	1	1.352e	1.352e	NUM
ejpam-4087	292	2	−	−	PROPN
ejpam-4087	292	3	05	05	NUM
ejpam-4087	292	4	4.492e	4.492e	NUM
ejpam-4087	292	5	−	−	NOUN
ejpam-4087	292	6	07	07	NUM
ejpam-4087	292	7	2.996e	2.996e	NUM
ejpam-4087	292	8	−	−	NUM
ejpam-4087	292	9	06	06	NUM
ejpam-4087	292	10	4	4	NUM
ejpam-4087	292	11	l	l	NOUN
ejpam-4087	292	12	1.216e	1.216e	NUM
ejpam-4087	292	13	−	−	PROPN
ejpam-4087	292	14	07	07	NUM
ejpam-4087	292	15	1.118e	1.118e	NUM
ejpam-4087	292	16	−	−	PROPN
ejpam-4087	292	17	8	8	NUM
ejpam-4087	292	18	2.087e	2.087e	NUM
ejpam-4087	292	19	−	−	NOUN
ejpam-4087	292	20	08	08	NUM
ejpam-4087	292	21	1.733e	1.733e	NUM
ejpam-4087	292	22	−	−	NOUN
ejpam-4087	292	23	8	8	NUM
ejpam-4087	292	24	5.934e	5.934e	NUM
ejpam-4087	292	25	−	−	NOUN
ejpam-4087	292	26	09	09	NUM
ejpam-4087	292	27	4.481e	4.481e	NUM
ejpam-4087	292	28	−	−	NOUN
ejpam-4087	292	29	09	09	NUM
ejpam-4087	292	30	u	u	NOUN
ejpam-4087	292	31	8.131e	8.131e	ADJ
ejpam-4087	292	32	−	−	PROPN
ejpam-4087	292	33	10	10	NUM
ejpam-4087	292	34	1.502e	1.502e	NUM
ejpam-4087	292	35	−	−	PROPN
ejpam-4087	292	36	8	8	NUM
ejpam-4087	292	37	1.572e	1.572e	NUM
ejpam-4087	292	38	−	−	PROPN
ejpam-4087	292	39	09	09	NUM
ejpam-4087	292	40	1.609e	1.609e	NUM
ejpam-4087	292	41	−	−	NUM
ejpam-4087	292	42	08	08	NUM
ejpam-4087	293	1	4.182e	4.182e	NOUN
ejpam-4087	293	2	−	−	PROPN
ejpam-4087	293	3	10	10	NUM
ejpam-4087	293	4	3.314e	3.314e	NUM
ejpam-4087	293	5	−	−	NOUN
ejpam-4087	293	6	09	09	NUM
ejpam-4087	293	7	5	5	NUM
ejpam-4087	293	8	l	l	NOUN
ejpam-4087	293	9	9.265e	9.265e	NUM
ejpam-4087	293	10	−	−	PROPN
ejpam-4087	293	11	09	09	NUM
ejpam-4087	293	12	9.276e	9.276e	NOUN
ejpam-4087	293	13	−	−	NOUN
ejpam-4087	293	14	09	09	NUM
ejpam-4087	293	15	1.887e	1.887e	NUM
ejpam-4087	293	16	−	−	PROPN
ejpam-4087	293	17	08	08	NUM
ejpam-4087	294	1	1.887e	1.887e	NUM
ejpam-4087	294	2	−	−	PROPN
ejpam-4087	294	3	08	08	NUM
ejpam-4087	294	4	5.575e	5.575e	NUM
ejpam-4087	294	5	−	−	PROPN
ejpam-4087	294	6	09	09	NUM
ejpam-4087	294	7	5.576e	5.576e	NOUN
ejpam-4087	294	8	−	−	NUM
ejpam-4087	294	9	09	09	NUM
ejpam-4087	294	10	u	u	NOUN
ejpam-4087	294	11	1.130e	1.130e	NUM
ejpam-4087	294	12	−	−	PROPN
ejpam-4087	294	13	09	09	NUM
ejpam-4087	294	14	1.123e	1.123e	NUM
ejpam-4087	294	15	−	−	PROPN
ejpam-4087	294	16	09	09	NUM
ejpam-4087	294	17	1.982e	1.982e	NOUN
ejpam-4087	294	18	−	−	PROPN
ejpam-4087	294	19	09	09	NUM
ejpam-4087	294	20	1.978e	1.978e	NOUN
ejpam-4087	294	21	−	−	NOUN
ejpam-4087	294	22	09	09	NUM
ejpam-4087	294	23	5.553e	5.553e	NUM
ejpam-4087	294	24	−	−	NOUN
ejpam-4087	294	25	10	10	NUM
ejpam-4087	294	26	5.545e	5.545e	NUM
ejpam-4087	294	27	−	−	PROPN
ejpam-4087	294	28	10	10	NUM
ejpam-4087	294	29	in	in	ADP
ejpam-4087	294	30	the	the	DET
ejpam-4087	294	31	following	follow	VERB
ejpam-4087	294	32	figures	figure	NOUN
ejpam-4087	294	33	(	(	PUNCT
ejpam-4087	294	34	1–12	1–12	NOUN
ejpam-4087	294	35	)	)	PUNCT
ejpam-4087	294	36	shows	show	VERB
ejpam-4087	294	37	both	both	CCONJ
ejpam-4087	294	38	the	the	DET
ejpam-4087	294	39	exact	exact	ADJ
ejpam-4087	294	40	solutions	solution	NOUN
ejpam-4087	294	41	of	of	ADP
ejpam-4087	294	42	(	(	PUNCT
ejpam-4087	294	43	ũi	ũi	PROPN
ejpam-4087	294	44	(	(	PUNCT
ejpam-4087	294	45	x	x	NOUN
ejpam-4087	294	46	,	,	PUNCT
ejpam-4087	294	47	α	α	NOUN
ejpam-4087	294	48	)	)	PUNCT
ejpam-4087	294	49	,	,	PUNCT
ejpam-4087	294	50	i	i	PRON
ejpam-4087	294	51	=	=	NOUN
ejpam-4087	294	52	1	1	NUM
ejpam-4087	294	53	,	,	PUNCT
ejpam-4087	294	54	2	2	NUM
ejpam-4087	294	55	)	)	PUNCT
ejpam-4087	294	56	and	and	CCONJ
ejpam-4087	294	57	the	the	DET
ejpam-4087	294	58	standard	standard	ADJ
ejpam-4087	294	59	adm	adm	PROPN
ejpam-4087	294	60	(	(	PUNCT
ejpam-4087	294	61	ϕi,3	ϕi,3	PROPN
ejpam-4087	294	62	(	(	PUNCT
ejpam-4087	294	63	x	x	NOUN
ejpam-4087	294	64	)	)	PUNCT
ejpam-4087	294	65	,	,	PUNCT
ejpam-4087	294	66	i	i	PRON
ejpam-4087	294	67	=	=	NOUN
ejpam-4087	294	68	1	1	NUM
ejpam-4087	294	69	,	,	PUNCT
ejpam-4087	294	70	2	2	NUM
ejpam-4087	294	71	)	)	PUNCT
ejpam-4087	294	72	for	for	ADP
ejpam-4087	294	73	the	the	DET
ejpam-4087	294	74	interval	interval	NOUN
ejpam-4087	294	75	0	0	NUM
ejpam-4087	294	76	≤	≤	NUM
ejpam-4087	294	77	t	t	NOUN
ejpam-4087	294	78	≤	≤	NUM
ejpam-4087	294	79	1	1	NUM
ejpam-4087	294	80	.	.	PUNCT
ejpam-4087	295	1	we	we	PRON
ejpam-4087	295	2	represent	represent	VERB
ejpam-4087	295	3	the	the	DET
ejpam-4087	295	4	exact	exact	ADJ
ejpam-4087	295	5	solutions	solution	NOUN
ejpam-4087	295	6	with	with	ADP
ejpam-4087	295	7	a	a	DET
ejpam-4087	295	8	continuous	continuous	ADJ
ejpam-4087	295	9	line	line	NOUN
ejpam-4087	295	10	and	and	CCONJ
ejpam-4087	295	11	use	use	VERB
ejpam-4087	295	12	the	the	DET
ejpam-4087	295	13	symbol	symbol	NOUN
ejpam-4087	295	14	◦	◦	NOUN
ejpam-4087	295	15	for	for	ADP
ejpam-4087	295	16	the	the	DET
ejpam-4087	295	17	adm	adm	PROPN
ejpam-4087	295	18	ϕi,3	ϕi,3	NOUN
ejpam-4087	295	19	(	(	PUNCT
ejpam-4087	295	20	x	x	NOUN
ejpam-4087	295	21	)	)	PUNCT
ejpam-4087	295	22	,	,	PUNCT
ejpam-4087	295	23	i	i	PRON
ejpam-4087	295	24	=	=	NOUN
ejpam-4087	295	25	1	1	NUM
ejpam-4087	295	26	,	,	PUNCT
ejpam-4087	295	27	2	2	NUM
ejpam-4087	295	28	.	.	PUNCT
ejpam-4087	295	29	m.	m.	NOUN
ejpam-4087	295	30	t.	t.	PROPN
ejpam-4087	295	31	younis	younis	PROPN
ejpam-4087	295	32	,	,	PUNCT
ejpam-4087	295	33	w.	w.	PROPN
ejpam-4087	295	34	al	al	PROPN
ejpam-4087	295	35	-	-	PUNCT
ejpam-4087	295	36	hayani	hayani	PROPN
ejpam-4087	295	37	/	/	SYM
ejpam-4087	295	38	eur	eur	PROPN
ejpam-4087	295	39	.	.	PUNCT
ejpam-4087	296	1	j.	j.	PROPN
ejpam-4087	296	2	pure	pure	PROPN
ejpam-4087	296	3	appl	appl	PROPN
ejpam-4087	296	4	.	.	PROPN
ejpam-4087	296	5	math	math	PROPN
ejpam-4087	296	6	,	,	PUNCT
ejpam-4087	296	7	15	15	NUM
ejpam-4087	296	8	(	(	PUNCT
ejpam-4087	296	9	1	1	NUM
ejpam-4087	296	10	)	)	PUNCT
ejpam-4087	296	11	(	(	PUNCT
ejpam-4087	296	12	2022	2022	NUM
ejpam-4087	296	13	)	)	PUNCT
ejpam-4087	296	14	,	,	PUNCT
ejpam-4087	296	15	290	290	NUM
ejpam-4087	296	16	-	-	SYM
ejpam-4087	296	17	313	313	NUM
ejpam-4087	296	18	300	300	NUM
ejpam-4087	296	19	figure	figure	NOUN
ejpam-4087	296	20	1	1	NUM
ejpam-4087	296	21	:	:	PUNCT
ejpam-4087	296	22	ϕ1,3	ϕ1,3	INTJ
ejpam-4087	296	23	(	(	PUNCT
ejpam-4087	296	24	x	x	NOUN
ejpam-4087	296	25	,	,	PUNCT
ejpam-4087	296	26	α	α	NOUN
ejpam-4087	296	27	)	)	PUNCT
ejpam-4087	296	28	,	,	PUNCT
ejpam-4087	296	29	u1	u1	PROPN
ejpam-4087	296	30	(	(	PUNCT
ejpam-4087	296	31	x.	x.	NOUN
ejpam-4087	296	32	,	,	PUNCT
ejpam-4087	296	33	α	α	NOUN
ejpam-4087	296	34	)	)	PUNCT
ejpam-4087	296	35	,	,	PUNCT
ejpam-4087	296	36	α	α	X
ejpam-4087	296	37	=	=	NOUN
ejpam-4087	296	38	0.3	0.3	NUM
ejpam-4087	296	39	figure	figure	NOUN
ejpam-4087	296	40	2	2	NUM
ejpam-4087	296	41	:	:	PUNCT
ejpam-4087	296	42	ϕ1,3	ϕ1,3	ADJ
ejpam-4087	296	43	(	(	PUNCT
ejpam-4087	296	44	x	x	NOUN
ejpam-4087	296	45	,	,	PUNCT
ejpam-4087	296	46	α	α	NOUN
ejpam-4087	296	47	)	)	PUNCT
ejpam-4087	296	48	,	,	PUNCT
ejpam-4087	296	49	u1	u1	NOUN
ejpam-4087	296	50	(	(	PUNCT
ejpam-4087	296	51	x	x	NOUN
ejpam-4087	296	52	,	,	PUNCT
ejpam-4087	296	53	α	α	NOUN
ejpam-4087	296	54	)	)	PUNCT
ejpam-4087	296	55	,	,	PUNCT
ejpam-4087	296	56	α	α	X
ejpam-4087	296	57	=	=	SYM
ejpam-4087	296	58	0.3	0.3	NUM
ejpam-4087	296	59	m.	m.	NOUN
ejpam-4087	296	60	t.	t.	PROPN
ejpam-4087	296	61	younis	younis	PROPN
ejpam-4087	296	62	,	,	PUNCT
ejpam-4087	296	63	w.	w.	PROPN
ejpam-4087	296	64	al	al	PROPN
ejpam-4087	296	65	-	-	PUNCT
ejpam-4087	296	66	hayani	hayani	PROPN
ejpam-4087	296	67	/	/	SYM
ejpam-4087	296	68	eur	eur	PROPN
ejpam-4087	296	69	.	.	PUNCT
ejpam-4087	297	1	j.	j.	PROPN
ejpam-4087	297	2	pure	pure	PROPN
ejpam-4087	297	3	appl	appl	PROPN
ejpam-4087	297	4	.	.	PROPN
ejpam-4087	297	5	math	math	PROPN
ejpam-4087	297	6	,	,	PUNCT
ejpam-4087	297	7	15	15	NUM
ejpam-4087	297	8	(	(	PUNCT
ejpam-4087	297	9	1	1	NUM
ejpam-4087	297	10	)	)	PUNCT
ejpam-4087	297	11	(	(	PUNCT
ejpam-4087	297	12	2022	2022	NUM
ejpam-4087	297	13	)	)	PUNCT
ejpam-4087	297	14	,	,	PUNCT
ejpam-4087	297	15	290	290	NUM
ejpam-4087	297	16	-	-	SYM
ejpam-4087	297	17	313	313	NUM
ejpam-4087	297	18	301	301	NUM
ejpam-4087	297	19	figure	figure	NOUN
ejpam-4087	297	20	3	3	NUM
ejpam-4087	297	21	:	:	PUNCT
ejpam-4087	297	22	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	297	23	(	(	PUNCT
ejpam-4087	297	24	x	x	X
ejpam-4087	297	25	,	,	PUNCT
ejpam-4087	297	26	α	α	NOUN
ejpam-4087	297	27	)	)	PUNCT
ejpam-4087	297	28	,	,	PUNCT
ejpam-4087	297	29	u2	u2	PROPN
ejpam-4087	297	30	(	(	PUNCT
ejpam-4087	297	31	x	x	NOUN
ejpam-4087	297	32	,	,	PUNCT
ejpam-4087	297	33	α	α	NOUN
ejpam-4087	297	34	)	)	PUNCT
ejpam-4087	297	35	,	,	PUNCT
ejpam-4087	297	36	α	α	X
ejpam-4087	297	37	=	=	NOUN
ejpam-4087	297	38	0.3	0.3	NUM
ejpam-4087	297	39	figure	figure	NOUN
ejpam-4087	297	40	4	4	NUM
ejpam-4087	297	41	:	:	PUNCT
ejpam-4087	298	1	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	298	2	(	(	PUNCT
ejpam-4087	298	3	x	x	X
ejpam-4087	298	4	,	,	PUNCT
ejpam-4087	298	5	α	α	NOUN
ejpam-4087	298	6	)	)	PUNCT
ejpam-4087	298	7	,	,	PUNCT
ejpam-4087	298	8	u2	u2	PROPN
ejpam-4087	298	9	(	(	PUNCT
ejpam-4087	298	10	x	x	NOUN
ejpam-4087	298	11	,	,	PUNCT
ejpam-4087	298	12	α	α	NOUN
ejpam-4087	298	13	)	)	PUNCT
ejpam-4087	298	14	,	,	PUNCT
ejpam-4087	298	15	α	α	X
ejpam-4087	298	16	=	=	SYM
ejpam-4087	298	17	0.3	0.3	NUM
ejpam-4087	298	18	m.	m.	NOUN
ejpam-4087	298	19	t.	t.	PROPN
ejpam-4087	298	20	younis	younis	PROPN
ejpam-4087	298	21	,	,	PUNCT
ejpam-4087	298	22	w.	w.	PROPN
ejpam-4087	298	23	al	al	PROPN
ejpam-4087	298	24	-	-	PUNCT
ejpam-4087	298	25	hayani	hayani	PROPN
ejpam-4087	298	26	/	/	SYM
ejpam-4087	298	27	eur	eur	PROPN
ejpam-4087	298	28	.	.	PUNCT
ejpam-4087	299	1	j.	j.	PROPN
ejpam-4087	299	2	pure	pure	PROPN
ejpam-4087	299	3	appl	appl	PROPN
ejpam-4087	299	4	.	.	PROPN
ejpam-4087	299	5	math	math	PROPN
ejpam-4087	299	6	,	,	PUNCT
ejpam-4087	299	7	15	15	NUM
ejpam-4087	299	8	(	(	PUNCT
ejpam-4087	299	9	1	1	NUM
ejpam-4087	299	10	)	)	PUNCT
ejpam-4087	299	11	(	(	PUNCT
ejpam-4087	299	12	2022	2022	NUM
ejpam-4087	299	13	)	)	PUNCT
ejpam-4087	299	14	,	,	PUNCT
ejpam-4087	299	15	290	290	NUM
ejpam-4087	299	16	-	-	SYM
ejpam-4087	299	17	313	313	NUM
ejpam-4087	299	18	302	302	NUM
ejpam-4087	299	19	figure	figure	NOUN
ejpam-4087	299	20	5	5	NUM
ejpam-4087	299	21	:	:	PUNCT
ejpam-4087	299	22	ϕ1,3	ϕ1,3	ADJ
ejpam-4087	299	23	(	(	PUNCT
ejpam-4087	299	24	x	x	NOUN
ejpam-4087	299	25	,	,	PUNCT
ejpam-4087	299	26	α	α	NOUN
ejpam-4087	299	27	)	)	PUNCT
ejpam-4087	299	28	,	,	PUNCT
ejpam-4087	299	29	u1	u1	NOUN
ejpam-4087	299	30	(	(	PUNCT
ejpam-4087	299	31	x	x	NOUN
ejpam-4087	299	32	,	,	PUNCT
ejpam-4087	299	33	α	α	NOUN
ejpam-4087	299	34	)	)	PUNCT
ejpam-4087	299	35	,	,	PUNCT
ejpam-4087	299	36	α	α	X
ejpam-4087	299	37	=	=	NOUN
ejpam-4087	299	38	0.6	0.6	NUM
ejpam-4087	299	39	figure	figure	NOUN
ejpam-4087	299	40	6	6	NUM
ejpam-4087	299	41	:	:	PUNCT
ejpam-4087	299	42	ϕ1,3	ϕ1,3	ADJ
ejpam-4087	299	43	(	(	PUNCT
ejpam-4087	299	44	x	x	NOUN
ejpam-4087	299	45	,	,	PUNCT
ejpam-4087	299	46	α	α	NOUN
ejpam-4087	299	47	)	)	PUNCT
ejpam-4087	299	48	,	,	PUNCT
ejpam-4087	299	49	u1	u1	NOUN
ejpam-4087	299	50	(	(	PUNCT
ejpam-4087	299	51	x	x	NOUN
ejpam-4087	299	52	,	,	PUNCT
ejpam-4087	299	53	α	α	NOUN
ejpam-4087	299	54	)	)	PUNCT
ejpam-4087	299	55	,	,	PUNCT
ejpam-4087	299	56	α	α	X
ejpam-4087	299	57	=	=	SYM
ejpam-4087	299	58	0.6	0.6	NUM
ejpam-4087	299	59	m.	m.	NOUN
ejpam-4087	299	60	t.	t.	PROPN
ejpam-4087	299	61	younis	younis	PROPN
ejpam-4087	299	62	,	,	PUNCT
ejpam-4087	299	63	w.	w.	PROPN
ejpam-4087	299	64	al	al	PROPN
ejpam-4087	299	65	-	-	PUNCT
ejpam-4087	299	66	hayani	hayani	PROPN
ejpam-4087	299	67	/	/	SYM
ejpam-4087	299	68	eur	eur	PROPN
ejpam-4087	299	69	.	.	PUNCT
ejpam-4087	300	1	j.	j.	PROPN
ejpam-4087	300	2	pure	pure	PROPN
ejpam-4087	300	3	appl	appl	PROPN
ejpam-4087	300	4	.	.	PROPN
ejpam-4087	300	5	math	math	PROPN
ejpam-4087	300	6	,	,	PUNCT
ejpam-4087	300	7	15	15	NUM
ejpam-4087	300	8	(	(	PUNCT
ejpam-4087	300	9	1	1	NUM
ejpam-4087	300	10	)	)	PUNCT
ejpam-4087	300	11	(	(	PUNCT
ejpam-4087	300	12	2022	2022	NUM
ejpam-4087	300	13	)	)	PUNCT
ejpam-4087	300	14	,	,	PUNCT
ejpam-4087	300	15	290	290	NUM
ejpam-4087	300	16	-	-	SYM
ejpam-4087	300	17	313	313	NUM
ejpam-4087	300	18	303	303	NUM
ejpam-4087	300	19	figure	figure	NOUN
ejpam-4087	300	20	7	7	NUM
ejpam-4087	300	21	:	:	PUNCT
ejpam-4087	300	22	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	300	23	(	(	PUNCT
ejpam-4087	300	24	x	x	X
ejpam-4087	300	25	,	,	PUNCT
ejpam-4087	300	26	α	α	NOUN
ejpam-4087	300	27	)	)	PUNCT
ejpam-4087	300	28	,	,	PUNCT
ejpam-4087	300	29	u2	u2	PROPN
ejpam-4087	300	30	(	(	PUNCT
ejpam-4087	300	31	x	x	NOUN
ejpam-4087	300	32	,	,	PUNCT
ejpam-4087	300	33	α	α	NOUN
ejpam-4087	300	34	)	)	PUNCT
ejpam-4087	300	35	,	,	PUNCT
ejpam-4087	300	36	α	α	X
ejpam-4087	300	37	=	=	NOUN
ejpam-4087	300	38	0.6	0.6	NUM
ejpam-4087	300	39	figure	figure	NOUN
ejpam-4087	300	40	8	8	NUM
ejpam-4087	300	41	:	:	PUNCT
ejpam-4087	301	1	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	301	2	(	(	PUNCT
ejpam-4087	301	3	x	x	X
ejpam-4087	301	4	,	,	PUNCT
ejpam-4087	301	5	α	α	NOUN
ejpam-4087	301	6	)	)	PUNCT
ejpam-4087	301	7	,	,	PUNCT
ejpam-4087	301	8	u2	u2	PROPN
ejpam-4087	301	9	(	(	PUNCT
ejpam-4087	301	10	x	x	NOUN
ejpam-4087	301	11	,	,	PUNCT
ejpam-4087	301	12	α	α	NOUN
ejpam-4087	301	13	)	)	PUNCT
ejpam-4087	301	14	,	,	PUNCT
ejpam-4087	301	15	α	α	X
ejpam-4087	301	16	=	=	SYM
ejpam-4087	301	17	0.6	0.6	NUM
ejpam-4087	301	18	m.	m.	NOUN
ejpam-4087	301	19	t.	t.	PROPN
ejpam-4087	301	20	younis	younis	PROPN
ejpam-4087	301	21	,	,	PUNCT
ejpam-4087	301	22	w.	w.	PROPN
ejpam-4087	301	23	al	al	PROPN
ejpam-4087	301	24	-	-	PUNCT
ejpam-4087	301	25	hayani	hayani	PROPN
ejpam-4087	301	26	/	/	SYM
ejpam-4087	301	27	eur	eur	PROPN
ejpam-4087	301	28	.	.	PUNCT
ejpam-4087	302	1	j.	j.	PROPN
ejpam-4087	302	2	pure	pure	PROPN
ejpam-4087	302	3	appl	appl	PROPN
ejpam-4087	302	4	.	.	PROPN
ejpam-4087	302	5	math	math	PROPN
ejpam-4087	302	6	,	,	PUNCT
ejpam-4087	302	7	15	15	NUM
ejpam-4087	302	8	(	(	PUNCT
ejpam-4087	302	9	1	1	NUM
ejpam-4087	302	10	)	)	PUNCT
ejpam-4087	302	11	(	(	PUNCT
ejpam-4087	302	12	2022	2022	NUM
ejpam-4087	302	13	)	)	PUNCT
ejpam-4087	302	14	,	,	PUNCT
ejpam-4087	302	15	290	290	NUM
ejpam-4087	302	16	-	-	SYM
ejpam-4087	302	17	313	313	NUM
ejpam-4087	302	18	304	304	NUM
ejpam-4087	302	19	figure	figure	NOUN
ejpam-4087	302	20	9	9	NUM
ejpam-4087	302	21	:	:	PUNCT
ejpam-4087	302	22	ϕ1,3	ϕ1,3	ADJ
ejpam-4087	302	23	(	(	PUNCT
ejpam-4087	302	24	x	x	NOUN
ejpam-4087	302	25	,	,	PUNCT
ejpam-4087	302	26	α	α	NOUN
ejpam-4087	302	27	)	)	PUNCT
ejpam-4087	302	28	,	,	PUNCT
ejpam-4087	302	29	u1	u1	NOUN
ejpam-4087	302	30	(	(	PUNCT
ejpam-4087	302	31	x	x	NOUN
ejpam-4087	302	32	,	,	PUNCT
ejpam-4087	302	33	α	α	NOUN
ejpam-4087	302	34	)	)	PUNCT
ejpam-4087	302	35	,	,	PUNCT
ejpam-4087	302	36	α	α	X
ejpam-4087	302	37	=	=	NOUN
ejpam-4087	302	38	0.9	0.9	NUM
ejpam-4087	302	39	figure	figure	NOUN
ejpam-4087	302	40	10	10	NUM
ejpam-4087	302	41	:	:	PUNCT
ejpam-4087	303	1	ϕ1,3	ϕ1,3	ADJ
ejpam-4087	303	2	(	(	PUNCT
ejpam-4087	303	3	x	x	NOUN
ejpam-4087	303	4	,	,	PUNCT
ejpam-4087	303	5	α	α	NOUN
ejpam-4087	303	6	)	)	PUNCT
ejpam-4087	303	7	,	,	PUNCT
ejpam-4087	303	8	u1	u1	NOUN
ejpam-4087	303	9	(	(	PUNCT
ejpam-4087	303	10	x	x	NOUN
ejpam-4087	303	11	,	,	PUNCT
ejpam-4087	303	12	α	α	NOUN
ejpam-4087	303	13	)	)	PUNCT
ejpam-4087	303	14	,	,	PUNCT
ejpam-4087	303	15	α	α	X
ejpam-4087	303	16	=	=	SYM
ejpam-4087	303	17	0.9	0.9	NUM
ejpam-4087	303	18	m.	m.	NOUN
ejpam-4087	303	19	t.	t.	PROPN
ejpam-4087	303	20	younis	younis	PROPN
ejpam-4087	303	21	,	,	PUNCT
ejpam-4087	303	22	w.	w.	PROPN
ejpam-4087	303	23	al	al	PROPN
ejpam-4087	303	24	-	-	PUNCT
ejpam-4087	303	25	hayani	hayani	PROPN
ejpam-4087	303	26	/	/	SYM
ejpam-4087	303	27	eur	eur	PROPN
ejpam-4087	303	28	.	.	PUNCT
ejpam-4087	304	1	j.	j.	PROPN
ejpam-4087	304	2	pure	pure	PROPN
ejpam-4087	304	3	appl	appl	PROPN
ejpam-4087	304	4	.	.	PROPN
ejpam-4087	304	5	math	math	PROPN
ejpam-4087	304	6	,	,	PUNCT
ejpam-4087	304	7	15	15	NUM
ejpam-4087	304	8	(	(	PUNCT
ejpam-4087	304	9	1	1	NUM
ejpam-4087	304	10	)	)	PUNCT
ejpam-4087	304	11	(	(	PUNCT
ejpam-4087	304	12	2022	2022	NUM
ejpam-4087	304	13	)	)	PUNCT
ejpam-4087	304	14	,	,	PUNCT
ejpam-4087	304	15	290	290	NUM
ejpam-4087	304	16	-	-	SYM
ejpam-4087	304	17	313	313	NUM
ejpam-4087	304	18	305	305	NUM
ejpam-4087	304	19	figure	figure	NOUN
ejpam-4087	304	20	11	11	NUM
ejpam-4087	304	21	:	:	PUNCT
ejpam-4087	305	1	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	305	2	(	(	PUNCT
ejpam-4087	305	3	x	x	X
ejpam-4087	305	4	,	,	PUNCT
ejpam-4087	305	5	α	α	NOUN
ejpam-4087	305	6	)	)	PUNCT
ejpam-4087	305	7	,	,	PUNCT
ejpam-4087	305	8	u2	u2	PROPN
ejpam-4087	305	9	(	(	PUNCT
ejpam-4087	305	10	x	x	NOUN
ejpam-4087	305	11	,	,	PUNCT
ejpam-4087	305	12	α	α	NOUN
ejpam-4087	305	13	)	)	PUNCT
ejpam-4087	305	14	,	,	PUNCT
ejpam-4087	305	15	α	α	X
ejpam-4087	305	16	=	=	NOUN
ejpam-4087	305	17	0.9	0.9	NUM
ejpam-4087	305	18	figure	figure	NOUN
ejpam-4087	305	19	12	12	NUM
ejpam-4087	305	20	:	:	PUNCT
ejpam-4087	305	21	ϕ2,3	ϕ2,3	PROPN
ejpam-4087	305	22	(	(	PUNCT
ejpam-4087	305	23	x	x	X
ejpam-4087	305	24	,	,	PUNCT
ejpam-4087	305	25	α	α	NOUN
ejpam-4087	305	26	)	)	PUNCT
ejpam-4087	305	27	,	,	PUNCT
ejpam-4087	305	28	u2	u2	PROPN
ejpam-4087	305	29	(	(	PUNCT
ejpam-4087	305	30	x	x	NOUN
ejpam-4087	305	31	,	,	PUNCT
ejpam-4087	305	32	α	α	NOUN
ejpam-4087	305	33	)	)	PUNCT
ejpam-4087	305	34	,	,	PUNCT
ejpam-4087	305	35	α	α	X
ejpam-4087	305	36	=	=	SYM
ejpam-4087	305	37	0.9	0.9	NUM
ejpam-4087	305	38	m.	m.	NOUN
ejpam-4087	305	39	t.	t.	PROPN
ejpam-4087	305	40	younis	younis	PROPN
ejpam-4087	305	41	,	,	PUNCT
ejpam-4087	305	42	w.	w.	PROPN
ejpam-4087	305	43	al	al	PROPN
ejpam-4087	305	44	-	-	PUNCT
ejpam-4087	305	45	hayani	hayani	PROPN
ejpam-4087	305	46	/	/	SYM
ejpam-4087	305	47	eur	eur	PROPN
ejpam-4087	305	48	.	.	PUNCT
ejpam-4087	306	1	j.	j.	PROPN
ejpam-4087	306	2	pure	pure	PROPN
ejpam-4087	306	3	appl	appl	PROPN
ejpam-4087	306	4	.	.	PROPN
ejpam-4087	306	5	math	math	PROPN
ejpam-4087	306	6	,	,	PUNCT
ejpam-4087	306	7	15	15	NUM
ejpam-4087	306	8	(	(	PUNCT
ejpam-4087	306	9	1	1	NUM
ejpam-4087	306	10	)	)	PUNCT
ejpam-4087	306	11	(	(	PUNCT
ejpam-4087	306	12	2022	2022	NUM
ejpam-4087	306	13	)	)	PUNCT
ejpam-4087	306	14	,	,	PUNCT
ejpam-4087	306	15	290	290	NUM
ejpam-4087	306	16	-	-	SYM
ejpam-4087	306	17	313	313	NUM
ejpam-4087	306	18	306	306	NUM
ejpam-4087	306	19	problem	problem	NOUN
ejpam-4087	306	20	2	2	NUM
ejpam-4087	306	21	.	.	PUNCT
ejpam-4087	307	1	we	we	PRON
ejpam-4087	307	2	consider	consider	VERB
ejpam-4087	307	3	the	the	DET
ejpam-4087	307	4	following	follow	VERB
ejpam-4087	307	5	non	non	ADJ
ejpam-4087	307	6	-	-	ADJ
ejpam-4087	307	7	linear	linear	ADJ
ejpam-4087	307	8	fuzzy	fuzzy	ADJ
ejpam-4087	307	9	system	system	NOUN
ejpam-4087	307	10	of	of	ADP
ejpam-4087	307	11	volterra	volterra	PROPN
ejpam-4087	307	12	integro	integro	PROPN
ejpam-4087	307	13	-	-	PUNCT
ejpam-4087	307	14	differential	differential	NOUN
ejpam-4087	307	15	equations	equation	NOUN
ejpam-4087	307	16	(	(	PUNCT
ejpam-4087	307	17	nfsvides	nfsvide	NOUN
ejpam-4087	307	18	)	)	PUNCT
ejpam-4087	307	19	of	of	ADP
ejpam-4087	307	20	the	the	DET
ejpam-4087	307	21	second	second	ADJ
ejpam-4087	307	22	kind	kind	PUNCT
ejpam-4087	307	23	ũ′′1	ũ′′1	PROPN
ejpam-4087	307	24	(	(	PUNCT
ejpam-4087	307	25	x	x	NOUN
ejpam-4087	307	26	,	,	PUNCT
ejpam-4087	307	27	α	α	NOUN
ejpam-4087	307	28	)	)	PUNCT
ejpam-4087	308	1	=	=	SYM
ejpam-4087	308	2	f̃1	f̃1	PROPN
ejpam-4087	308	3	(	(	PUNCT
ejpam-4087	308	4	x	x	X
ejpam-4087	308	5	,	,	PUNCT
ejpam-4087	308	6	α	α	NOUN
ejpam-4087	308	7	)	)	PUNCT
ejpam-4087	309	1	+	+	CCONJ
ejpam-4087	309	2	∫	∫	PROPN
ejpam-4087	309	3	x	x	SYM
ejpam-4087	309	4	0	0	PUNCT
ejpam-4087	309	5	[	[	PUNCT
ejpam-4087	309	6	ũ21	ũ21	PROPN
ejpam-4087	309	7	(	(	PUNCT
ejpam-4087	309	8	t	t	PROPN
ejpam-4087	309	9	,	,	PUNCT
ejpam-4087	309	10	α	α	NOUN
ejpam-4087	309	11	)	)	PUNCT
ejpam-4087	309	12	+	+	CCONJ
ejpam-4087	309	13	ũ22	ũ22	ADJ
ejpam-4087	309	14	(	(	PUNCT
ejpam-4087	309	15	t	t	PROPN
ejpam-4087	309	16	,	,	PUNCT
ejpam-4087	309	17	α	α	NOUN
ejpam-4087	309	18	)	)	PUNCT
ejpam-4087	309	19	]	]	PUNCT
ejpam-4087	310	1	dt	dt	X
ejpam-4087	310	2	,	,	PUNCT
ejpam-4087	310	3	ũ′′2	ũ′′2	PROPN
ejpam-4087	310	4	(	(	PUNCT
ejpam-4087	310	5	x	x	NOUN
ejpam-4087	310	6	,	,	PUNCT
ejpam-4087	310	7	α	α	NOUN
ejpam-4087	310	8	)	)	PUNCT
ejpam-4087	310	9	=	=	SYM
ejpam-4087	311	1	f̃2	f̃2	PROPN
ejpam-4087	311	2	(	(	PUNCT
ejpam-4087	311	3	x	x	NOUN
ejpam-4087	311	4	,	,	PUNCT
ejpam-4087	311	5	α	α	NOUN
ejpam-4087	311	6	)	)	PUNCT
ejpam-4087	312	1	+	+	CCONJ
ejpam-4087	312	2	∫	∫	PROPN
ejpam-4087	312	3	x	x	SYM
ejpam-4087	312	4	0	0	PUNCT
ejpam-4087	312	5	[	[	PUNCT
ejpam-4087	312	6	ũ21	ũ21	PROPN
ejpam-4087	312	7	(	(	PUNCT
ejpam-4087	312	8	t	t	NOUN
ejpam-4087	312	9	,	,	PUNCT
ejpam-4087	312	10	α)−	α)−	PROPN
ejpam-4087	312	11	ũ22	ũ22	PROPN
ejpam-4087	312	12	(	(	PUNCT
ejpam-4087	312	13	t	t	PROPN
ejpam-4087	312	14	,	,	PUNCT
ejpam-4087	312	15	α	α	NOUN
ejpam-4087	312	16	)	)	PUNCT
ejpam-4087	312	17	]	]	PUNCT
ejpam-4087	313	1	dt	dt	X
ejpam-4087	313	2	,	,	PUNCT
ejpam-4087	313	3	(	(	PUNCT
ejpam-4087	313	4	19	19	NUM
ejpam-4087	313	5	)	)	PUNCT
ejpam-4087	313	6	with	with	ADP
ejpam-4087	313	7	the	the	DET
ejpam-4087	313	8	initial	initial	ADJ
ejpam-4087	313	9	conditions	conditions	PUNCT
ejpam-4087	313	10	ũ1	ũ1	PROPN
ejpam-4087	313	11	(	(	PUNCT
ejpam-4087	313	12	0	0	NUM
ejpam-4087	313	13	,	,	PUNCT
ejpam-4087	313	14	α	α	NOUN
ejpam-4087	313	15	)	)	PUNCT
ejpam-4087	313	16	=	=	SYM
ejpam-4087	313	17	(	(	PUNCT
ejpam-4087	313	18	0	0	NUM
ejpam-4087	313	19	,	,	PUNCT
ejpam-4087	313	20	0	0	NUM
ejpam-4087	313	21	)	)	PUNCT
ejpam-4087	313	22	,	,	PUNCT
ejpam-4087	313	23	ũ′1	ũ′1	PROPN
ejpam-4087	313	24	(	(	PUNCT
ejpam-4087	313	25	0	0	NUM
ejpam-4087	313	26	,	,	PUNCT
ejpam-4087	313	27	α	α	NOUN
ejpam-4087	313	28	)	)	PUNCT
ejpam-4087	313	29	=	=	PUNCT
ejpam-4087	313	30	(	(	PUNCT
ejpam-4087	313	31	2−	2−	NUM
ejpam-4087	313	32	α	α	NOUN
ejpam-4087	313	33	,	,	PUNCT
ejpam-4087	313	34	α	α	NOUN
ejpam-4087	313	35	)	)	PUNCT
ejpam-4087	313	36	,	,	PUNCT
ejpam-4087	313	37	ũ2	ũ2	PROPN
ejpam-4087	313	38	(	(	PUNCT
ejpam-4087	313	39	0	0	NUM
ejpam-4087	313	40	,	,	PUNCT
ejpam-4087	313	41	α	α	NOUN
ejpam-4087	313	42	)	)	PUNCT
ejpam-4087	313	43	=	=	SYM
ejpam-4087	313	44	(	(	PUNCT
ejpam-4087	313	45	0	0	NUM
ejpam-4087	313	46	,	,	PUNCT
ejpam-4087	313	47	0	0	NUM
ejpam-4087	313	48	)	)	PUNCT
ejpam-4087	313	49	,	,	PUNCT
ejpam-4087	313	50	ũ′2	ũ′2	PROPN
ejpam-4087	313	51	(	(	PUNCT
ejpam-4087	313	52	0	0	NUM
ejpam-4087	313	53	,	,	PUNCT
ejpam-4087	313	54	α	α	NOUN
ejpam-4087	313	55	)	)	PUNCT
ejpam-4087	313	56	=	=	NOUN
ejpam-4087	313	57	(	(	PUNCT
ejpam-4087	313	58	2α−	2α−	NUM
ejpam-4087	313	59	α2	α2	ADJ
ejpam-4087	313	60	,	,	PUNCT
ejpam-4087	313	61	3−	3−	NUM
ejpam-4087	313	62	2α	2α	NOUN
ejpam-4087	313	63	)	)	PUNCT
ejpam-4087	313	64	,	,	PUNCT
ejpam-4087	313	65	where	where	SCONJ
ejpam-4087	313	66	f̃1	f̃1	PROPN
ejpam-4087	313	67	(	(	PUNCT
ejpam-4087	313	68	x	x	NOUN
ejpam-4087	313	69	,	,	PUNCT
ejpam-4087	313	70	α	α	NOUN
ejpam-4087	313	71	)	)	PUNCT
ejpam-4087	313	72	=	=	SYM
ejpam-4087	313	73	[	[	PUNCT
ejpam-4087	313	74	f1	f1	NOUN
ejpam-4087	313	75	(	(	PUNCT
ejpam-4087	313	76	x	x	NOUN
ejpam-4087	313	77	,	,	PUNCT
ejpam-4087	313	78	α	α	NOUN
ejpam-4087	313	79	)	)	PUNCT
ejpam-4087	313	80	,	,	PUNCT
ejpam-4087	313	81	f1	f1	NOUN
ejpam-4087	313	82	(	(	PUNCT
ejpam-4087	313	83	x	x	NOUN
ejpam-4087	313	84	,	,	PUNCT
ejpam-4087	313	85	α	α	NOUN
ejpam-4087	313	86	)	)	PUNCT
ejpam-4087	313	87	]	]	PUNCT
ejpam-4087	313	88	and	and	CCONJ
ejpam-4087	313	89	f̃2	f̃2	PROPN
ejpam-4087	313	90	(	(	PUNCT
ejpam-4087	313	91	x	x	NOUN
ejpam-4087	313	92	,	,	PUNCT
ejpam-4087	313	93	α	α	NOUN
ejpam-4087	313	94	)	)	PUNCT
ejpam-4087	313	95	=	=	PUNCT
ejpam-4087	313	96	[	[	PUNCT
ejpam-4087	313	97	f2	f2	PROPN
ejpam-4087	313	98	(	(	PUNCT
ejpam-4087	313	99	x	x	NOUN
ejpam-4087	313	100	,	,	PUNCT
ejpam-4087	313	101	α	α	NOUN
ejpam-4087	313	102	)	)	PUNCT
ejpam-4087	313	103	,	,	PUNCT
ejpam-4087	313	104	f2	f2	PROPN
ejpam-4087	313	105	(	(	PUNCT
ejpam-4087	313	106	x	x	NOUN
ejpam-4087	313	107	,	,	PUNCT
ejpam-4087	313	108	α	α	NOUN
ejpam-4087	313	109	)	)	PUNCT
ejpam-4087	313	110	]	]	PUNCT
ejpam-4087	313	111	are	be	AUX
ejpam-4087	313	112	given	give	VERB
ejpam-4087	313	113	by	by	ADP
ejpam-4087	313	114	f1	f1	PROPN
ejpam-4087	313	115	(	(	PUNCT
ejpam-4087	313	116	x	x	NOUN
ejpam-4087	313	117	,	,	PUNCT
ejpam-4087	313	118	α	α	NOUN
ejpam-4087	313	119	)	)	PUNCT
ejpam-4087	314	1	=	=	SYM
ejpam-4087	315	1	(	(	PUNCT
ejpam-4087	315	2	9−	9−	NUM
ejpam-4087	315	3	3α)x+	3α)x+	NUM
ejpam-4087	315	4	(	(	PUNCT
ejpam-4087	315	5	1−	1−	NUM
ejpam-4087	315	6	3α2	3α2	NUM
ejpam-4087	315	7	)	)	PUNCT
ejpam-4087	315	8	3	3	NUM
ejpam-4087	315	9	x3	x3	ADJ
ejpam-4087	315	10	+	+	CCONJ
ejpam-4087	315	11	(	(	PUNCT
ejpam-4087	315	12	2−	2−	NUM
ejpam-4087	315	13	4α	4α	NOUN
ejpam-4087	315	14	)	)	PUNCT
ejpam-4087	315	15	7	7	NUM
ejpam-4087	315	16	x7	x7	NOUN
ejpam-4087	315	17	,	,	PUNCT
ejpam-4087	315	18	f1	f1	NOUN
ejpam-4087	315	19	(	(	PUNCT
ejpam-4087	315	20	x	x	NOUN
ejpam-4087	315	21	,	,	PUNCT
ejpam-4087	315	22	α	α	NOUN
ejpam-4087	315	23	)	)	PUNCT
ejpam-4087	315	24	=	=	SYM
ejpam-4087	315	25	(	(	PUNCT
ejpam-4087	315	26	1	1	NUM
ejpam-4087	315	27	+	+	CCONJ
ejpam-4087	315	28	5α2	5α2	NUM
ejpam-4087	315	29	)	)	PUNCT
ejpam-4087	315	30	x−	x−	PROPN
ejpam-4087	316	1	(	(	PUNCT
ejpam-4087	316	2	α3	α3	NOUN
ejpam-4087	316	3	+	+	NOUN
ejpam-4087	316	4	3	3	NUM
ejpam-4087	316	5	)	)	PUNCT
ejpam-4087	316	6	6	6	NUM
ejpam-4087	316	7	x3	x3	ADJ
ejpam-4087	316	8	−	−	PROPN
ejpam-4087	317	1	(	(	PUNCT
ejpam-4087	317	2	α2	α2	ADJ
ejpam-4087	317	3	+	+	CCONJ
ejpam-4087	317	4	1	1	NUM
ejpam-4087	317	5	)	)	PUNCT
ejpam-4087	317	6	7	7	NUM
ejpam-4087	317	7	x7	x7	NOUN
ejpam-4087	317	8	,	,	PUNCT
ejpam-4087	317	9	f2	f2	PROPN
ejpam-4087	317	10	(	(	PUNCT
ejpam-4087	317	11	x	x	NOUN
ejpam-4087	317	12	,	,	PUNCT
ejpam-4087	317	13	α	α	NOUN
ejpam-4087	317	14	)	)	PUNCT
ejpam-4087	317	15	=	=	SYM
ejpam-4087	317	16	−	−	PROPN
ejpam-4087	317	17	(	(	PUNCT
ejpam-4087	317	18	7−	7−	NUM
ejpam-4087	317	19	α2	α2	ADJ
ejpam-4087	317	20	)	)	PUNCT
ejpam-4087	317	21	x−	x−	PROPN
ejpam-4087	318	1	(	(	PUNCT
ejpam-4087	318	2	17α2	17α2	NUM
ejpam-4087	318	3	−	−	PROPN
ejpam-4087	318	4	α	α	NOUN
ejpam-4087	318	5	)	)	PUNCT
ejpam-4087	318	6	20	20	NUM
ejpam-4087	318	7	x5	x5	NOUN
ejpam-4087	318	8	,	,	PUNCT
ejpam-4087	318	9	f2	f2	PRON
ejpam-4087	318	10	(	(	PUNCT
ejpam-4087	318	11	x	x	NOUN
ejpam-4087	318	12	,	,	PUNCT
ejpam-4087	318	13	α	α	NOUN
ejpam-4087	318	14	)	)	PUNCT
ejpam-4087	318	15	=	=	SYM
ejpam-4087	318	16	−	−	PROPN
ejpam-4087	318	17	(	(	PUNCT
ejpam-4087	318	18	2	2	NUM
ejpam-4087	318	19	+	+	NUM
ejpam-4087	318	20	4α)x−	4α)x−	NUM
ejpam-4087	318	21	4α	4α	NOUN
ejpam-4087	318	22	5	5	NUM
ejpam-4087	318	23	x5	x5	NOUN
ejpam-4087	318	24	,	,	PUNCT
ejpam-4087	318	25	the	the	DET
ejpam-4087	318	26	exact	exact	ADJ
ejpam-4087	318	27	solutions	solution	NOUN
ejpam-4087	318	28	of	of	ADP
ejpam-4087	318	29	the	the	DET
ejpam-4087	318	30	nfsvides	nfsvide	NOUN
ejpam-4087	318	31	(	(	PUNCT
ejpam-4087	318	32	19	19	NUM
ejpam-4087	318	33	)	)	PUNCT
ejpam-4087	318	34	are	be	AUX
ejpam-4087	318	35	ũ1	ũ1	PROPN
ejpam-4087	318	36	(	(	PUNCT
ejpam-4087	318	37	x	x	NOUN
ejpam-4087	318	38	)	)	PUNCT
ejpam-4087	318	39	=	=	SYM
ejpam-4087	319	1	x+	x+	PUNCT
ejpam-4087	319	2	x3	x3	ADJ
ejpam-4087	319	3	and	and	CCONJ
ejpam-4087	319	4	ũ2	ũ2	PROPN
ejpam-4087	319	5	(	(	PUNCT
ejpam-4087	319	6	x	x	X
ejpam-4087	319	7	)	)	PUNCT
ejpam-4087	319	8	=	=	SYM
ejpam-4087	319	9	x−	x−	PROPN
ejpam-4087	319	10	x3	x3	PROPN
ejpam-4087	319	11	.	.	PUNCT
ejpam-4087	320	1	operating	operate	VERB
ejpam-4087	320	2	by	by	ADP
ejpam-4087	320	3	the	the	DET
ejpam-4087	320	4	same	same	ADJ
ejpam-4087	320	5	way	way	NOUN
ejpam-4087	320	6	proceeding	proceeding	NOUN
ejpam-4087	320	7	(	(	PUNCT
ejpam-4087	320	8	3)-(9	3)-(9	NOUN
ejpam-4087	320	9	)	)	PUNCT
ejpam-4087	320	10	as	as	ADP
ejpam-4087	320	11	above	above	ADV
ejpam-4087	320	12	,	,	PUNCT
ejpam-4087	320	13	and	and	CCONJ
ejpam-4087	320	14	applying	apply	VERB
ejpam-4087	320	15	the	the	DET
ejpam-4087	320	16	fuzzy	fuzzy	ADJ
ejpam-4087	320	17	standard	standard	PROPN
ejpam-4087	320	18	adm	adm	PROPN
ejpam-4087	320	19	,	,	PUNCT
ejpam-4087	320	20	the	the	DET
ejpam-4087	320	21	lower	low	ADJ
ejpam-4087	320	22	iterations	iteration	NOUN
ejpam-4087	320	23	(	(	PUNCT
ejpam-4087	320	24	l	l	NOUN
ejpam-4087	320	25	)	)	PUNCT
ejpam-4087	320	26	are	be	AUX
ejpam-4087	320	27	then	then	ADV
ejpam-4087	320	28	determined	determined	ADJ
ejpam-4087	320	29	in	in	ADP
ejpam-4087	320	30	the	the	DET
ejpam-4087	320	31	following	follow	VERB
ejpam-4087	320	32	recursive	recursive	ADJ
ejpam-4087	320	33	way	way	NOUN
ejpam-4087	320	34	:	:	PUNCT
ejpam-4087	320	35	{	{	PUNCT
ejpam-4087	320	36	u1,0	u1,0	PROPN
ejpam-4087	320	37	(	(	PUNCT
ejpam-4087	320	38	x	x	X
ejpam-4087	320	39	,	,	PUNCT
ejpam-4087	320	40	α	α	NOUN
ejpam-4087	320	41	)	)	PUNCT
ejpam-4087	320	42	=	=	SYM
ejpam-4087	320	43	(	(	PUNCT
ejpam-4087	320	44	2−	2−	NUM
ejpam-4087	320	45	α)x+	α)x+	NUM
ejpam-4087	320	46	l−1f1	l−1f1	NOUN
ejpam-4087	320	47	(	(	PUNCT
ejpam-4087	320	48	x	x	NOUN
ejpam-4087	320	49	,	,	PUNCT
ejpam-4087	320	50	α	α	NOUN
ejpam-4087	320	51	)	)	PUNCT
ejpam-4087	320	52	,	,	PUNCT
ejpam-4087	321	1	u2,0	u2,0	PROPN
ejpam-4087	321	2	(	(	PUNCT
ejpam-4087	321	3	x	x	PROPN
ejpam-4087	321	4	,	,	PUNCT
ejpam-4087	321	5	α	α	NOUN
ejpam-4087	321	6	)	)	PUNCT
ejpam-4087	321	7	=	=	NOUN
ejpam-4087	321	8	(	(	PUNCT
ejpam-4087	321	9	2α−	2α−	NUM
ejpam-4087	321	10	α2	α2	ADV
ejpam-4087	321	11	)	)	PUNCT
ejpam-4087	321	12	x+	x+	PUNCT
ejpam-4087	321	13	l−1f2	l−1f2	NOUN
ejpam-4087	321	14	(	(	PUNCT
ejpam-4087	321	15	x	x	NOUN
ejpam-4087	321	16	,	,	PUNCT
ejpam-4087	321	17	α	α	NOUN
ejpam-4087	321	18	)	)	PUNCT
ejpam-4087	321	19	,	,	PUNCT
ejpam-4087	321	20			PROPN
ejpam-4087	321	21	u1,n+1	u1,n+1	PROPN
ejpam-4087	321	22	(	(	PUNCT
ejpam-4087	321	23	x	x	NOUN
ejpam-4087	321	24	,	,	PUNCT
ejpam-4087	321	25	α	α	NOUN
ejpam-4087	321	26	)	)	PUNCT
ejpam-4087	321	27	=	=	PUNCT
ejpam-4087	322	1	l−1	l−1	PROPN
ejpam-4087	323	1	[	[	X
ejpam-4087	323	2	∫	∫	PROPN
ejpam-4087	323	3	x	x	SYM
ejpam-4087	323	4	0	0	PROPN
ejpam-4087	323	5	(	(	PUNCT
ejpam-4087	323	6	a1,n	a1,n	PROPN
ejpam-4087	323	7	+	+	PROPN
ejpam-4087	323	8	a2,n	a2,n	ADV
ejpam-4087	323	9	)	)	PUNCT
ejpam-4087	323	10	dt	dt	PUNCT
ejpam-4087	323	11	]	]	PUNCT
ejpam-4087	323	12	,	,	PUNCT
ejpam-4087	323	13	u2,n+1	u2,n+1	PROPN
ejpam-4087	323	14	(	(	PUNCT
ejpam-4087	323	15	x	x	NOUN
ejpam-4087	323	16	,	,	PUNCT
ejpam-4087	323	17	α	α	NOUN
ejpam-4087	323	18	)	)	PUNCT
ejpam-4087	323	19	=	=	PUNCT
ejpam-4087	324	1	l−1	l−1	PROPN
ejpam-4087	325	1	[	[	X
ejpam-4087	325	2	∫	∫	PROPN
ejpam-4087	325	3	x	x	SYM
ejpam-4087	325	4	0	0	PROPN
ejpam-4087	325	5	(	(	PUNCT
ejpam-4087	325	6	a1,n	a1,n	PROPN
ejpam-4087	325	7	−a2,n	−a2,n	NOUN
ejpam-4087	325	8	)	)	PUNCT
ejpam-4087	325	9	dt	dt	X
ejpam-4087	325	10	]	]	PUNCT
ejpam-4087	325	11	,	,	PUNCT
ejpam-4087	325	12	n	n	PROPN
ejpam-4087	325	13	=	=	SYM
ejpam-4087	325	14	0	0	NUM
ejpam-4087	325	15	,	,	PUNCT
ejpam-4087	325	16	1	1	NUM
ejpam-4087	325	17	,	,	PUNCT
ejpam-4087	325	18	2	2	NUM
ejpam-4087	325	19	,	,	PUNCT
ejpam-4087	325	20	.	.	PUNCT
ejpam-4087	325	21	.	.	PUNCT
ejpam-4087	325	22	.	.	PUNCT
ejpam-4087	326	1	(	(	PUNCT
ejpam-4087	326	2	20	20	NUM
ejpam-4087	326	3	)	)	PUNCT
ejpam-4087	326	4	and	and	CCONJ
ejpam-4087	326	5	the	the	DET
ejpam-4087	326	6	upper	upper	ADJ
ejpam-4087	326	7	iterations	iteration	NOUN
ejpam-4087	326	8	(	(	PUNCT
ejpam-4087	326	9	u	u	NOUN
ejpam-4087	326	10	)	)	PUNCT
ejpam-4087	326	11	are	be	AUX
ejpam-4087	326	12	{	{	PUNCT
ejpam-4087	326	13	u1,0	u1,0	PROPN
ejpam-4087	326	14	(	(	PUNCT
ejpam-4087	326	15	x	x	X
ejpam-4087	326	16	,	,	PUNCT
ejpam-4087	326	17	α	α	NOUN
ejpam-4087	326	18	)	)	PUNCT
ejpam-4087	326	19	=	=	PRON
ejpam-4087	326	20	αx+	αx+	VERB
ejpam-4087	326	21	l−1f1	l−1f1	NOUN
ejpam-4087	326	22	(	(	PUNCT
ejpam-4087	326	23	x	x	NOUN
ejpam-4087	326	24	,	,	PUNCT
ejpam-4087	326	25	α	α	NOUN
ejpam-4087	326	26	)	)	PUNCT
ejpam-4087	326	27	,	,	PUNCT
ejpam-4087	326	28	u2,0	u2,0	PROPN
ejpam-4087	326	29	(	(	PUNCT
ejpam-4087	326	30	x	x	PROPN
ejpam-4087	326	31	,	,	PUNCT
ejpam-4087	326	32	α	α	NOUN
ejpam-4087	326	33	)	)	PUNCT
ejpam-4087	326	34	=	=	PUNCT
ejpam-4087	326	35	(	(	PUNCT
ejpam-4087	326	36	3−	3−	NUM
ejpam-4087	326	37	2α)x+	2α)x+	NUM
ejpam-4087	326	38	l−1f2	l−1f2	NOUN
ejpam-4087	326	39	(	(	PUNCT
ejpam-4087	326	40	x	x	X
ejpam-4087	326	41	,	,	PUNCT
ejpam-4087	326	42	α	α	NOUN
ejpam-4087	326	43	)	)	PUNCT
ejpam-4087	326	44	,	,	PUNCT
ejpam-4087	326	45	{	{	PUNCT
ejpam-4087	326	46	u1,n+1	u1,n+1	X
ejpam-4087	326	47	(	(	PUNCT
ejpam-4087	326	48	x	x	NOUN
ejpam-4087	326	49	,	,	PUNCT
ejpam-4087	326	50	α	α	NOUN
ejpam-4087	326	51	)	)	PUNCT
ejpam-4087	327	1	=	=	PUNCT
ejpam-4087	327	2	l−1	l−1	PROPN
ejpam-4087	328	1	[	[	X
ejpam-4087	328	2	∫	∫	PROPN
ejpam-4087	328	3	x	x	SYM
ejpam-4087	328	4	0	0	PROPN
ejpam-4087	328	5	(	(	PUNCT
ejpam-4087	328	6	a1,n	a1,n	PROPN
ejpam-4087	328	7	+	+	PROPN
ejpam-4087	328	8	a2,n	a2,n	ADV
ejpam-4087	328	9	)	)	PUNCT
ejpam-4087	328	10	dt	dt	PUNCT
ejpam-4087	328	11	]	]	PUNCT
ejpam-4087	328	12	,	,	PUNCT
ejpam-4087	328	13	u2,n+1	u2,n+1	PROPN
ejpam-4087	328	14	(	(	PUNCT
ejpam-4087	328	15	x	x	NOUN
ejpam-4087	328	16	,	,	PUNCT
ejpam-4087	328	17	α	α	NOUN
ejpam-4087	328	18	)	)	PUNCT
ejpam-4087	328	19	=	=	PUNCT
ejpam-4087	329	1	l−1	l−1	PROPN
ejpam-4087	330	1	[	[	X
ejpam-4087	330	2	∫	∫	PROPN
ejpam-4087	330	3	x	x	SYM
ejpam-4087	330	4	0	0	PROPN
ejpam-4087	330	5	(	(	PUNCT
ejpam-4087	330	6	a1,n	a1,n	PROPN
ejpam-4087	330	7	−a2,n	−a2,n	NOUN
ejpam-4087	330	8	)	)	PUNCT
ejpam-4087	330	9	dt	dt	X
ejpam-4087	330	10	]	]	PUNCT
ejpam-4087	330	11	,	,	PUNCT
ejpam-4087	330	12	n	n	PROPN
ejpam-4087	330	13	=	=	SYM
ejpam-4087	330	14	0	0	NUM
ejpam-4087	330	15	,	,	PUNCT
ejpam-4087	330	16	1	1	NUM
ejpam-4087	330	17	,	,	PUNCT
ejpam-4087	330	18	2	2	NUM
ejpam-4087	330	19	,	,	PUNCT
ejpam-4087	330	20	.	.	PUNCT
ejpam-4087	330	21	.	.	PUNCT
ejpam-4087	330	22	.	.	PUNCT
ejpam-4087	331	1	(	(	PUNCT
ejpam-4087	331	2	21	21	NUM
ejpam-4087	331	3	)	)	PUNCT
ejpam-4087	331	4	m.	m.	NOUN
ejpam-4087	331	5	t.	t.	PROPN
ejpam-4087	331	6	younis	younis	PROPN
ejpam-4087	331	7	,	,	PUNCT
ejpam-4087	331	8	w.	w.	PROPN
ejpam-4087	331	9	al	al	PROPN
ejpam-4087	331	10	-	-	PUNCT
ejpam-4087	331	11	hayani	hayani	PROPN
ejpam-4087	331	12	/	/	SYM
ejpam-4087	331	13	eur	eur	PROPN
ejpam-4087	331	14	.	.	PUNCT
ejpam-4087	332	1	j.	j.	PROPN
ejpam-4087	332	2	pure	pure	PROPN
ejpam-4087	332	3	appl	appl	PROPN
ejpam-4087	332	4	.	.	PROPN
ejpam-4087	332	5	math	math	PROPN
ejpam-4087	332	6	,	,	PUNCT
ejpam-4087	332	7	15	15	NUM
ejpam-4087	332	8	(	(	PUNCT
ejpam-4087	332	9	1	1	NUM
ejpam-4087	332	10	)	)	PUNCT
ejpam-4087	332	11	(	(	PUNCT
ejpam-4087	332	12	2022	2022	NUM
ejpam-4087	332	13	)	)	PUNCT
ejpam-4087	332	14	,	,	PUNCT
ejpam-4087	332	15	290	290	NUM
ejpam-4087	332	16	-	-	SYM
ejpam-4087	332	17	313	313	NUM
ejpam-4087	332	18	307	307	NUM
ejpam-4087	332	19	where	where	SCONJ
ejpam-4087	332	20	the	the	DET
ejpam-4087	332	21	non	non	ADJ
ejpam-4087	332	22	-	-	ADJ
ejpam-4087	332	23	linear	linear	ADJ
ejpam-4087	332	24	terms	term	NOUN
ejpam-4087	332	25	defined	define	VERB
ejpam-4087	332	26	by	by	ADP
ejpam-4087	332	27	the	the	DET
ejpam-4087	332	28	series	series	NOUN
ejpam-4087	332	29	u21,n	u21,n	X
ejpam-4087	332	30	(	(	PUNCT
ejpam-4087	332	31	t	t	PROPN
ejpam-4087	332	32	,	,	PUNCT
ejpam-4087	332	33	α	α	NOUN
ejpam-4087	332	34	)	)	PUNCT
ejpam-4087	332	35	=	=	PUNCT
ejpam-4087	333	1	∞∑	∞∑	PRON
ejpam-4087	333	2	n=0	n=0	NUM
ejpam-4087	333	3	a1,n	a1,n	PROPN
ejpam-4087	333	4	,	,	PUNCT
ejpam-4087	333	5	u21,n	u21,n	X
ejpam-4087	333	6	(	(	PUNCT
ejpam-4087	333	7	t	t	PROPN
ejpam-4087	333	8	,	,	PUNCT
ejpam-4087	333	9	α	α	NOUN
ejpam-4087	333	10	)	)	PUNCT
ejpam-4087	333	11	=	=	PUNCT
ejpam-4087	334	1	∞∑	∞∑	PRON
ejpam-4087	334	2	n=0	n=0	NUM
ejpam-4087	334	3	a1,n	a1,n	PROPN
ejpam-4087	334	4	,	,	PUNCT
ejpam-4087	334	5	u22,n	u22,n	NOUN
ejpam-4087	334	6	(	(	PUNCT
ejpam-4087	334	7	t	t	PROPN
ejpam-4087	334	8	,	,	PUNCT
ejpam-4087	334	9	α	α	NOUN
ejpam-4087	334	10	)	)	PUNCT
ejpam-4087	334	11	=	=	SYM
ejpam-4087	335	1	∞∑	∞∑	PRON
ejpam-4087	335	2	n=0	n=0	PROPN
ejpam-4087	335	3	a2,n	a2,n	ADV
ejpam-4087	335	4	,	,	PUNCT
ejpam-4087	335	5	u22,n	u22,n	NOUN
ejpam-4087	335	6	(	(	PUNCT
ejpam-4087	335	7	t	t	PROPN
ejpam-4087	335	8	,	,	PUNCT
ejpam-4087	335	9	α	α	NOUN
ejpam-4087	335	10	)	)	PUNCT
ejpam-4087	335	11	=	=	SYM
ejpam-4087	336	1	∞∑	∞∑	ADJ
ejpam-4087	336	2	n=0	n=0	PROPN
ejpam-4087	336	3	a2,n	a2,n	PROPN
ejpam-4087	336	4	,	,	PUNCT
ejpam-4087	336	5	(	(	PUNCT
ejpam-4087	336	6	22	22	NUM
ejpam-4087	336	7	)	)	PUNCT
ejpam-4087	336	8	the	the	DET
ejpam-4087	336	9	corresponding	corresponding	ADJ
ejpam-4087	336	10	adomian	adomian	NOUN
ejpam-4087	336	11	polynomials	polynomial	NOUN
ejpam-4087	336	12	[	[	PUNCT
ejpam-4087	336	13	a1,n	a1,n	PROPN
ejpam-4087	336	14	,	,	PUNCT
ejpam-4087	336	15	a1,n	a1,n	PROPN
ejpam-4087	336	16	]	]	PUNCT
ejpam-4087	336	17	and	and	CCONJ
ejpam-4087	336	18	[	[	PUNCT
ejpam-4087	336	19	a2,n	a2,n	ADV
ejpam-4087	336	20	,	,	PUNCT
ejpam-4087	336	21	a2,n	a2,n	ADV
ejpam-4087	336	22	]	]	PUNCT
ejpam-4087	337	1	[	[	X
ejpam-4087	337	2	3	3	NUM
ejpam-4087	337	3	,	,	PUNCT
ejpam-4087	337	4	4	4	NUM
ejpam-4087	337	5	]	]	PUNCT
ejpam-4087	337	6	are	be	AUX
ejpam-4087	337	7	a1,n	a1,n	PROPN
ejpam-4087	337	8	=	=	X
ejpam-4087	338	1	∞∑	∞∑	PRON
ejpam-4087	338	2	n=0	n=0	NUM
ejpam-4087	338	3	u1,iu1,n−i	u1,iu1,n−i	NOUN
ejpam-4087	338	4	,	,	PUNCT
ejpam-4087	338	5	a1,n	a1,n	PROPN
ejpam-4087	338	6	=	=	PUNCT
ejpam-4087	339	1	∞∑	∞∑	ADJ
ejpam-4087	339	2	n=0	n=0	NUM
ejpam-4087	339	3	u1,iu1,n−i	u1,iu1,n−i	NOUN
ejpam-4087	339	4	,	,	PUNCT
ejpam-4087	339	5	n	n	PRON
ejpam-4087	339	6	≥	≥	NOUN
ejpam-4087	339	7	i	i	NOUN
ejpam-4087	339	8	,	,	PUNCT
ejpam-4087	339	9	n	n	PROPN
ejpam-4087	339	10	=	=	SYM
ejpam-4087	339	11	0	0	NUM
ejpam-4087	339	12	,	,	PUNCT
ejpam-4087	339	13	1	1	NUM
ejpam-4087	339	14	,	,	PUNCT
ejpam-4087	339	15	2	2	NUM
ejpam-4087	339	16	,	,	PUNCT
ejpam-4087	339	17	.	.	PUNCT
ejpam-4087	339	18	.	.	PUNCT
ejpam-4087	339	19	.	.	PUNCT
ejpam-4087	340	1	a2,n	a2,n	ADV
ejpam-4087	340	2	=	=	PUNCT
ejpam-4087	340	3	∞∑	∞∑	ADJ
ejpam-4087	340	4	n=0	n=0	NUM
ejpam-4087	340	5	u2,iu2,n−i	u2,iu2,n−i	NOUN
ejpam-4087	340	6	,	,	PUNCT
ejpam-4087	340	7	a2,n	a2,n	PROPN
ejpam-4087	340	8	=	=	SYM
ejpam-4087	340	9	∞∑	∞∑	NUM
ejpam-4087	340	10	n=0	n=0	NUM
ejpam-4087	340	11	u2,iu2,n−i	u2,iu2,n−i	NOUN
ejpam-4087	340	12	,	,	PUNCT
ejpam-4087	340	13	n	n	PRON
ejpam-4087	340	14	≥	≥	NOUN
ejpam-4087	341	1	i	i	NOUN
ejpam-4087	341	2	,	,	PUNCT
ejpam-4087	341	3	n	n	PROPN
ejpam-4087	341	4	=	=	SYM
ejpam-4087	341	5	0	0	NUM
ejpam-4087	341	6	,	,	PUNCT
ejpam-4087	341	7	1	1	NUM
ejpam-4087	341	8	,	,	PUNCT
ejpam-4087	341	9	2	2	NUM
ejpam-4087	341	10	,	,	PUNCT
ejpam-4087	341	11	.	.	PUNCT
ejpam-4087	341	12	.	.	PUNCT
ejpam-4087	341	13	.	.	PUNCT
ejpam-4087	342	1	applying	apply	VERB
ejpam-4087	342	2	the	the	DET
ejpam-4087	342	3	fuzzy	fuzzy	ADJ
ejpam-4087	342	4	modified	modify	VERB
ejpam-4087	342	5	technique	technique	NOUN
ejpam-4087	342	6	(	(	PUNCT
ejpam-4087	342	7	mt	mt	PROPN
ejpam-4087	342	8	)	)	PUNCT
ejpam-4087	343	1	[	[	X
ejpam-4087	343	2	11	11	NUM
ejpam-4087	343	3	]	]	PUNCT
ejpam-4087	343	4	,	,	PUNCT
ejpam-4087	343	5	the	the	DET
ejpam-4087	343	6	lower	low	ADJ
ejpam-4087	343	7	iterations	iteration	NOUN
ejpam-4087	343	8	(	(	PUNCT
ejpam-4087	343	9	l	l	NOUN
ejpam-4087	343	10	)	)	PUNCT
ejpam-4087	343	11	are	be	AUX
ejpam-4087	343	12	then	then	ADV
ejpam-4087	343	13	determined	determined	ADJ
ejpam-4087	343	14	in	in	ADP
ejpam-4087	343	15	the	the	DET
ejpam-4087	343	16	following	follow	VERB
ejpam-4087	343	17	recursive	recursive	ADJ
ejpam-4087	343	18	way	way	NOUN
ejpam-4087	343	19	:	:	PUNCT
ejpam-4087	343	20	{	{	PUNCT
ejpam-4087	343	21	u1,0	u1,0	PROPN
ejpam-4087	343	22	(	(	PUNCT
ejpam-4087	343	23	x	x	X
ejpam-4087	343	24	,	,	PUNCT
ejpam-4087	343	25	α	α	NOUN
ejpam-4087	343	26	)	)	PUNCT
ejpam-4087	343	27	=	=	SYM
ejpam-4087	343	28	(	(	PUNCT
ejpam-4087	343	29	2−	2−	NUM
ejpam-4087	343	30	α)x	α)x	NUM
ejpam-4087	343	31	,	,	PUNCT
ejpam-4087	343	32	u2,0	u2,0	PROPN
ejpam-4087	343	33	(	(	PUNCT
ejpam-4087	343	34	x	x	NOUN
ejpam-4087	343	35	,	,	PUNCT
ejpam-4087	343	36	α	α	NOUN
ejpam-4087	343	37	)	)	PUNCT
ejpam-4087	344	1	=	=	NOUN
ejpam-4087	344	2	(	(	PUNCT
ejpam-4087	344	3	2α−	2α−	NUM
ejpam-4087	344	4	α2	α2	ADV
ejpam-4087	344	5	)	)	PUNCT
ejpam-4087	344	6	x,	x,	VERB
ejpam-4087	345	1	u1,1	u1,1	PROPN
ejpam-4087	345	2	(	(	PUNCT
ejpam-4087	345	3	x	x	NOUN
ejpam-4087	345	4	,	,	PUNCT
ejpam-4087	345	5	α	α	NOUN
ejpam-4087	345	6	)	)	PUNCT
ejpam-4087	345	7	=	=	SYM
ejpam-4087	345	8	l−1f1	l−1f1	NOUN
ejpam-4087	345	9	(	(	PUNCT
ejpam-4087	345	10	x	x	NOUN
ejpam-4087	345	11	,	,	PUNCT
ejpam-4087	345	12	α	α	NOUN
ejpam-4087	345	13	)	)	PUNCT
ejpam-4087	345	14	+	+	CCONJ
ejpam-4087	346	1	l−1	l−1	PROPN
ejpam-4087	347	1	[	[	X
ejpam-4087	347	2	∫	∫	NOUN
ejpam-4087	347	3	x	x	SYM
ejpam-4087	347	4	0	0	PROPN
ejpam-4087	347	5	(	(	PUNCT
ejpam-4087	347	6	a1,0	a1,0	PROPN
ejpam-4087	347	7	+	+	PROPN
ejpam-4087	347	8	a2,0	a2,0	NOUN
ejpam-4087	347	9	)	)	PUNCT
ejpam-4087	347	10	dt	dt	X
ejpam-4087	347	11	]	]	PUNCT
ejpam-4087	347	12	,	,	PUNCT
ejpam-4087	347	13	u2,1	u2,1	PROPN
ejpam-4087	347	14	(	(	PUNCT
ejpam-4087	347	15	x	x	NOUN
ejpam-4087	347	16	,	,	PUNCT
ejpam-4087	347	17	α	α	NOUN
ejpam-4087	347	18	)	)	PUNCT
ejpam-4087	347	19	=	=	SYM
ejpam-4087	347	20	l−1f2	l−1f2	NOUN
ejpam-4087	347	21	(	(	PUNCT
ejpam-4087	347	22	x	x	X
ejpam-4087	347	23	,	,	PUNCT
ejpam-4087	347	24	α	α	NOUN
ejpam-4087	347	25	)	)	PUNCT
ejpam-4087	347	26	+	+	CCONJ
ejpam-4087	348	1	l−1	l−1	PROPN
ejpam-4087	349	1	[	[	X
ejpam-4087	349	2	∫	∫	NOUN
ejpam-4087	349	3	x	x	SYM
ejpam-4087	349	4	0	0	PROPN
ejpam-4087	349	5	(	(	PUNCT
ejpam-4087	349	6	a1,0	a1,0	PROPN
ejpam-4087	349	7	−a2,0	−a2,0	PROPN
ejpam-4087	349	8	)	)	PUNCT
ejpam-4087	349	9	dt	dt	X
ejpam-4087	349	10	]	]	PUNCT
ejpam-4087	349	11	,	,	PUNCT
ejpam-4087	349	12			PROPN
ejpam-4087	349	13	u1,n+1	u1,n+1	PROPN
ejpam-4087	349	14	(	(	PUNCT
ejpam-4087	349	15	x	x	NOUN
ejpam-4087	349	16	,	,	PUNCT
ejpam-4087	349	17	α	α	NOUN
ejpam-4087	349	18	)	)	PUNCT
ejpam-4087	349	19	=	=	PUNCT
ejpam-4087	350	1	l−1	l−1	PROPN
ejpam-4087	351	1	[	[	X
ejpam-4087	351	2	∫	∫	PROPN
ejpam-4087	351	3	x	x	SYM
ejpam-4087	351	4	0	0	PROPN
ejpam-4087	351	5	(	(	PUNCT
ejpam-4087	351	6	a1,n	a1,n	PROPN
ejpam-4087	351	7	+	+	PROPN
ejpam-4087	351	8	a2,n	a2,n	ADV
ejpam-4087	351	9	)	)	PUNCT
ejpam-4087	351	10	dt	dt	PUNCT
ejpam-4087	351	11	]	]	PUNCT
ejpam-4087	351	12	,	,	PUNCT
ejpam-4087	351	13	u2,n+1	u2,n+1	PROPN
ejpam-4087	351	14	(	(	PUNCT
ejpam-4087	351	15	x	x	NOUN
ejpam-4087	351	16	,	,	PUNCT
ejpam-4087	351	17	α	α	NOUN
ejpam-4087	351	18	)	)	PUNCT
ejpam-4087	351	19	=	=	PUNCT
ejpam-4087	352	1	l−1	l−1	PROPN
ejpam-4087	353	1	[	[	X
ejpam-4087	353	2	∫	∫	PROPN
ejpam-4087	353	3	x	x	SYM
ejpam-4087	353	4	0	0	PROPN
ejpam-4087	353	5	(	(	PUNCT
ejpam-4087	353	6	a1,n	a1,n	PROPN
ejpam-4087	353	7	−a2,n	−a2,n	NOUN
ejpam-4087	353	8	)	)	PUNCT
ejpam-4087	353	9	dt	dt	X
ejpam-4087	353	10	]	]	PUNCT
ejpam-4087	353	11	,	,	PUNCT
ejpam-4087	353	12	n	n	NOUN
ejpam-4087	353	13	=	=	SYM
ejpam-4087	353	14	1	1	NUM
ejpam-4087	353	15	,	,	PUNCT
ejpam-4087	353	16	2	2	NUM
ejpam-4087	353	17	,	,	PUNCT
ejpam-4087	353	18	3	3	NUM
ejpam-4087	353	19	,	,	PUNCT
ejpam-4087	353	20	.	.	PUNCT
ejpam-4087	353	21	.	.	PUNCT
ejpam-4087	353	22	.	.	PUNCT
ejpam-4087	354	1	(	(	PUNCT
ejpam-4087	354	2	23	23	NUM
ejpam-4087	354	3	)	)	PUNCT
ejpam-4087	354	4	and	and	CCONJ
ejpam-4087	354	5	the	the	DET
ejpam-4087	354	6	upper	upper	ADJ
ejpam-4087	354	7	iterations	iteration	NOUN
ejpam-4087	354	8	(	(	PUNCT
ejpam-4087	354	9	u	u	NOUN
ejpam-4087	354	10	)	)	PUNCT
ejpam-4087	354	11	are	be	AUX
ejpam-4087	354	12	{	{	PUNCT
ejpam-4087	354	13	u1,0	u1,0	PROPN
ejpam-4087	354	14	(	(	PUNCT
ejpam-4087	354	15	x	x	X
ejpam-4087	354	16	,	,	PUNCT
ejpam-4087	354	17	α	α	NOUN
ejpam-4087	354	18	)	)	PUNCT
ejpam-4087	354	19	=	=	PUNCT
ejpam-4087	355	1	αx	αx	NOUN
ejpam-4087	355	2	,	,	PUNCT
ejpam-4087	355	3	u2,0	u2,0	PROPN
ejpam-4087	355	4	(	(	PUNCT
ejpam-4087	355	5	x	x	NOUN
ejpam-4087	355	6	,	,	PUNCT
ejpam-4087	355	7	α	α	NOUN
ejpam-4087	355	8	)	)	PUNCT
ejpam-4087	355	9	=	=	PUNCT
ejpam-4087	355	10	(	(	PUNCT
ejpam-4087	355	11	3−	3−	NUM
ejpam-4087	355	12	2α)x	2α)x	NUM
ejpam-4087	355	13	,	,	PUNCT
ejpam-4087	355	14	{	{	PUNCT
ejpam-4087	355	15	u1,1	u1,1	PROPN
ejpam-4087	355	16	(	(	PUNCT
ejpam-4087	355	17	x	x	NOUN
ejpam-4087	355	18	,	,	PUNCT
ejpam-4087	355	19	α	α	NOUN
ejpam-4087	355	20	)	)	PUNCT
ejpam-4087	355	21	=	=	SYM
ejpam-4087	355	22	l−1f1	l−1f1	NOUN
ejpam-4087	355	23	(	(	PUNCT
ejpam-4087	355	24	x	x	NOUN
ejpam-4087	355	25	,	,	PUNCT
ejpam-4087	355	26	α	α	NOUN
ejpam-4087	355	27	)	)	PUNCT
ejpam-4087	355	28	+	+	CCONJ
ejpam-4087	356	1	l−1	l−1	PROPN
ejpam-4087	357	1	[	[	X
ejpam-4087	357	2	∫	∫	NOUN
ejpam-4087	357	3	x	x	SYM
ejpam-4087	357	4	0	0	PROPN
ejpam-4087	357	5	(	(	PUNCT
ejpam-4087	357	6	a1,0	a1,0	PROPN
ejpam-4087	357	7	+	+	PROPN
ejpam-4087	357	8	a2,0	a2,0	NOUN
ejpam-4087	357	9	)	)	PUNCT
ejpam-4087	357	10	dt	dt	X
ejpam-4087	357	11	]	]	PUNCT
ejpam-4087	357	12	,	,	PUNCT
ejpam-4087	357	13	u2,1	u2,1	PROPN
ejpam-4087	357	14	(	(	PUNCT
ejpam-4087	357	15	x	x	NOUN
ejpam-4087	357	16	,	,	PUNCT
ejpam-4087	357	17	α	α	NOUN
ejpam-4087	357	18	)	)	PUNCT
ejpam-4087	357	19	=	=	SYM
ejpam-4087	357	20	l−1f2	l−1f2	NOUN
ejpam-4087	357	21	(	(	PUNCT
ejpam-4087	357	22	x	x	X
ejpam-4087	357	23	,	,	PUNCT
ejpam-4087	357	24	α	α	NOUN
ejpam-4087	357	25	)	)	PUNCT
ejpam-4087	357	26	+	+	CCONJ
ejpam-4087	358	1	l−1	l−1	PROPN
ejpam-4087	359	1	[	[	X
ejpam-4087	359	2	∫	∫	NOUN
ejpam-4087	359	3	x	x	SYM
ejpam-4087	359	4	0	0	PROPN
ejpam-4087	359	5	(	(	PUNCT
ejpam-4087	359	6	a1,0	a1,0	PROPN
ejpam-4087	359	7	−a2,0	−a2,0	PROPN
ejpam-4087	359	8	)	)	PUNCT
ejpam-4087	359	9	dt	dt	X
ejpam-4087	359	10	]	]	PUNCT
ejpam-4087	359	11	,	,	PUNCT
ejpam-4087	359	12	{	{	PUNCT
ejpam-4087	359	13	u1,n+1	u1,n+1	X
ejpam-4087	359	14	(	(	PUNCT
ejpam-4087	359	15	x	x	NOUN
ejpam-4087	359	16	,	,	PUNCT
ejpam-4087	359	17	α	α	NOUN
ejpam-4087	359	18	)	)	PUNCT
ejpam-4087	359	19	=	=	PUNCT
ejpam-4087	360	1	l−1	l−1	PROPN
ejpam-4087	361	1	[	[	X
ejpam-4087	361	2	∫	∫	PROPN
ejpam-4087	361	3	x	x	SYM
ejpam-4087	361	4	0	0	PROPN
ejpam-4087	361	5	(	(	PUNCT
ejpam-4087	361	6	a1,n	a1,n	PROPN
ejpam-4087	361	7	+	+	PROPN
ejpam-4087	361	8	a2,n	a2,n	ADV
ejpam-4087	361	9	)	)	PUNCT
ejpam-4087	361	10	dt	dt	PUNCT
ejpam-4087	361	11	]	]	PUNCT
ejpam-4087	361	12	,	,	PUNCT
ejpam-4087	361	13	u2,n+1	u2,n+1	PROPN
ejpam-4087	361	14	(	(	PUNCT
ejpam-4087	361	15	x	x	NOUN
ejpam-4087	361	16	,	,	PUNCT
ejpam-4087	361	17	α	α	NOUN
ejpam-4087	361	18	)	)	PUNCT
ejpam-4087	361	19	=	=	PUNCT
ejpam-4087	362	1	l−1	l−1	PROPN
ejpam-4087	363	1	[	[	X
ejpam-4087	363	2	∫	∫	PROPN
ejpam-4087	363	3	x	x	SYM
ejpam-4087	363	4	0	0	PROPN
ejpam-4087	363	5	(	(	PUNCT
ejpam-4087	363	6	a1,n	a1,n	PROPN
ejpam-4087	363	7	−a2,n	−a2,n	NOUN
ejpam-4087	363	8	)	)	PUNCT
ejpam-4087	363	9	dt	dt	X
ejpam-4087	363	10	]	]	PUNCT
ejpam-4087	363	11	,	,	PUNCT
ejpam-4087	363	12	n	n	NOUN
ejpam-4087	363	13	=	=	SYM
ejpam-4087	363	14	1	1	NUM
ejpam-4087	363	15	,	,	PUNCT
ejpam-4087	363	16	2	2	NUM
ejpam-4087	363	17	,	,	PUNCT
ejpam-4087	363	18	3	3	NUM
ejpam-4087	363	19	,	,	PUNCT
ejpam-4087	363	20	.	.	PUNCT
ejpam-4087	363	21	.	.	PUNCT
ejpam-4087	363	22	.	.	PUNCT
ejpam-4087	364	1	(	(	PUNCT
ejpam-4087	364	2	24	24	NUM
ejpam-4087	364	3	)	)	PUNCT
ejpam-4087	364	4	in	in	ADP
ejpam-4087	364	5	tables	table	NOUN
ejpam-4087	364	6	5–8	5–8	NUM
ejpam-4087	364	7	display	display	VERB
ejpam-4087	364	8	a	a	DET
ejpam-4087	364	9	comparison	comparison	NOUN
ejpam-4087	364	10	of	of	ADP
ejpam-4087	364	11	the	the	DET
ejpam-4087	364	12	numerical	numerical	ADJ
ejpam-4087	364	13	results	result	NOUN
ejpam-4087	364	14	applying	apply	VERB
ejpam-4087	364	15	the	the	DET
ejpam-4087	364	16	adm	adm	NOUN
ejpam-4087	364	17	(	(	PUNCT
ejpam-4087	364	18	n	n	NOUN
ejpam-4087	364	19	=	=	SYM
ejpam-4087	364	20	4	4	NUM
ejpam-4087	364	21	)	)	PUNCT
ejpam-4087	364	22	,	,	PUNCT
ejpam-4087	364	23	iteration	iteration	NOUN
ejpam-4087	364	24	of	of	ADP
ejpam-4087	364	25	the	the	DET
ejpam-4087	364	26	integral	integral	ADJ
ejpam-4087	364	27	equation	equation	NOUN
ejpam-4087	364	28	(	(	PUNCT
ejpam-4087	364	29	iie	iie	PROPN
ejpam-4087	364	30	)	)	PUNCT
ejpam-4087	364	31	(	(	PUNCT
ejpam-4087	364	32	23	23	NUM
ejpam-4087	364	33	)	)	PUNCT
ejpam-4087	364	34	,	,	PUNCT
ejpam-4087	364	35	(	(	PUNCT
ejpam-4087	364	36	24	24	NUM
ejpam-4087	364	37	)	)	PUNCT
ejpam-4087	364	38	and	and	CCONJ
ejpam-4087	364	39	the	the	DET
ejpam-4087	364	40	numerical	numerical	ADJ
ejpam-4087	364	41	solution	solution	NOUN
ejpam-4087	364	42	of	of	ADP
ejpam-4087	364	43	(	(	PUNCT
ejpam-4087	364	44	23	23	NUM
ejpam-4087	364	45	)	)	PUNCT
ejpam-4087	364	46	,	,	PUNCT
ejpam-4087	364	47	(	(	PUNCT
ejpam-4087	364	48	24	24	NUM
ejpam-4087	364	49	)	)	PUNCT
ejpam-4087	364	50	with	with	ADP
ejpam-4087	364	51	the	the	DET
ejpam-4087	364	52	simpson	simpson	PROPN
ejpam-4087	364	53	rule	rule	PROPN
ejpam-4087	364	54	(	(	PUNCT
ejpam-4087	364	55	simp	simp	ADJ
ejpam-4087	364	56	)	)	PUNCT
ejpam-4087	364	57	and	and	CCONJ
ejpam-4087	364	58	the	the	DET
ejpam-4087	364	59	trapezoidal	trapezoidal	ADJ
ejpam-4087	364	60	rule	rule	NOUN
ejpam-4087	364	61	(	(	PUNCT
ejpam-4087	364	62	trap	trap	NOUN
ejpam-4087	364	63	)	)	PUNCT
ejpam-4087	364	64	on	on	ADP
ejpam-4087	364	65	the	the	DET
ejpam-4087	364	66	interval	interval	NOUN
ejpam-4087	364	67	[	[	X
ejpam-4087	364	68	0	0	NUM
ejpam-4087	364	69	,	,	PUNCT
ejpam-4087	364	70	1	1	NUM
ejpam-4087	364	71	]	]	PUNCT
ejpam-4087	364	72	.	.	PUNCT
ejpam-4087	365	1	twenty	twenty	NUM
ejpam-4087	365	2	points	point	NOUN
ejpam-4087	365	3	have	have	AUX
ejpam-4087	365	4	been	be	AUX
ejpam-4087	365	5	used	use	VERB
ejpam-4087	365	6	in	in	ADP
ejpam-4087	365	7	the	the	DET
ejpam-4087	365	8	simpson	simpson	NOUN
ejpam-4087	365	9	and	and	CCONJ
ejpam-4087	365	10	trapezoidal	trapezoidal	ADJ
ejpam-4087	365	11	methods	method	NOUN
ejpam-4087	365	12	.	.	PUNCT
ejpam-4087	366	1	in	in	ADP
ejpam-4087	366	2	tables	table	NOUN
ejpam-4087	366	3	9	9	NUM
ejpam-4087	366	4	and	and	CCONJ
ejpam-4087	366	5	10	10	NUM
ejpam-4087	366	6	we	we	PRON
ejpam-4087	366	7	present	present	VERB
ejpam-4087	366	8	the	the	DET
ejpam-4087	366	9	maximum	maximum	ADJ
ejpam-4087	366	10	error	error	NOUN
ejpam-4087	366	11	residual	residual	ADJ
ejpam-4087	366	12	obtained	obtain	VERB
ejpam-4087	366	13	by	by	ADP
ejpam-4087	366	14	fuzzy	fuzzy	ADJ
ejpam-4087	366	15	standard	standard	PROPN
ejpam-4087	366	16	adm	adm	PROPN
ejpam-4087	366	17	and	and	CCONJ
ejpam-4087	366	18	fuzzy	fuzzy	ADJ
ejpam-4087	366	19	mt	mt	PROPN
ejpam-4087	366	20	on	on	ADP
ejpam-4087	366	21	the	the	DET
ejpam-4087	366	22	interval	interval	NOUN
ejpam-4087	366	23	[	[	X
ejpam-4087	366	24	0	0	NUM
ejpam-4087	366	25	,	,	PUNCT
ejpam-4087	366	26	1	1	NUM
ejpam-4087	366	27	]	]	PUNCT
ejpam-4087	366	28	,	,	PUNCT
ejpam-4087	366	29	where	where	SCONJ
ejpam-4087	366	30	n	n	PRON
ejpam-4087	366	31	represents	represent	VERB
ejpam-4087	366	32	the	the	DET
ejpam-4087	366	33	number	number	NOUN
ejpam-4087	366	34	of	of	ADP
ejpam-4087	366	35	iterations	iteration	NOUN
ejpam-4087	366	36	.	.	PUNCT
ejpam-4087	367	1	m.	m.	NOUN
ejpam-4087	367	2	t.	t.	PROPN
ejpam-4087	367	3	younis	younis	PROPN
ejpam-4087	367	4	,	,	PUNCT
ejpam-4087	367	5	w.	w.	PROPN
ejpam-4087	367	6	al	al	PROPN
ejpam-4087	367	7	-	-	PUNCT
ejpam-4087	367	8	hayani	hayani	PROPN
ejpam-4087	367	9	/	/	SYM
ejpam-4087	367	10	eur	eur	PROPN
ejpam-4087	367	11	.	.	PUNCT
ejpam-4087	368	1	j.	j.	PROPN
ejpam-4087	368	2	pure	pure	PROPN
ejpam-4087	368	3	appl	appl	PROPN
ejpam-4087	368	4	.	.	PROPN
ejpam-4087	368	5	math	math	PROPN
ejpam-4087	368	6	,	,	PUNCT
ejpam-4087	368	7	15	15	NUM
ejpam-4087	368	8	(	(	PUNCT
ejpam-4087	368	9	1	1	NUM
ejpam-4087	368	10	)	)	PUNCT
ejpam-4087	368	11	(	(	PUNCT
ejpam-4087	368	12	2022	2022	NUM
ejpam-4087	368	13	)	)	PUNCT
ejpam-4087	368	14	,	,	PUNCT
ejpam-4087	368	15	290	290	NUM
ejpam-4087	368	16	-	-	SYM
ejpam-4087	368	17	313	313	NUM
ejpam-4087	368	18	308	308	NUM
ejpam-4087	368	19	table	table	NOUN
ejpam-4087	368	20	5	5	NUM
ejpam-4087	368	21	.	.	PUNCT
ejpam-4087	368	22	numerical	numerical	ADJ
ejpam-4087	368	23	results	result	NOUN
ejpam-4087	368	24	for	for	ADP
ejpam-4087	368	25	ũ1	ũ1	PROPN
ejpam-4087	368	26	(	(	PUNCT
ejpam-4087	368	27	x	x	NOUN
ejpam-4087	368	28	,	,	PUNCT
ejpam-4087	368	29	α	α	NOUN
ejpam-4087	368	30	)	)	PUNCT
ejpam-4087	368	31	(	(	PUNCT
ejpam-4087	368	32	problem	problem	NOUN
ejpam-4087	368	33	2	2	NUM
ejpam-4087	368	34	)	)	PUNCT
ejpam-4087	368	35	when	when	SCONJ
ejpam-4087	368	36	α	α	NOUN
ejpam-4087	368	37	=	=	VERB
ejpam-4087	368	38	0.3	0.3	NUM
ejpam-4087	368	39	x	x	NOUN
ejpam-4087	368	40	i	i	PRON
ejpam-4087	368	41	adm	adm	PROPN
ejpam-4087	368	42	iie	iie	PROPN
ejpam-4087	368	43	simp	simp	VERB
ejpam-4087	368	44	trap	trap	NOUN
ejpam-4087	368	45	0.0	0.0	NUM
ejpam-4087	368	46	l	l	NOUN
ejpam-4087	368	47	0.0	0.0	NUM
ejpam-4087	368	48	0.0	0.0	NUM
ejpam-4087	368	49	0.0	0.0	NUM
ejpam-4087	368	50	0.0	0.0	NUM
ejpam-4087	368	51	u	u	NOUN
ejpam-4087	368	52	0.0	0.0	NUM
ejpam-4087	368	53	0.0	0.0	NUM
ejpam-4087	368	54	0.0	0.0	NUM
ejpam-4087	368	55	0.0	0.0	NUM
ejpam-4087	368	56	0.2	0.2	NUM
ejpam-4087	368	57	l	l	NOUN
ejpam-4087	368	58	0.350820906	0.350820906	NUM
ejpam-4087	368	59	0.350820906	0.350820906	NUM
ejpam-4087	368	60	0.350820906	0.350820906	NUM
ejpam-4087	368	61	0.350820978	0.350820978	NUM
ejpam-4087	368	62	u	u	NOUN
ejpam-4087	368	63	0.061956312	0.061956312	NUM
ejpam-4087	368	64	0.061956312	0.061956312	NUM
ejpam-4087	368	65	0.061956312	0.061956312	NUM
ejpam-4087	368	66	0.061956441	0.061956441	NUM
ejpam-4087	368	67	0.4	0.4	NUM
ejpam-4087	368	68	l	l	NOUN
ejpam-4087	368	69	0.767091047	0.767091047	NUM
ejpam-4087	368	70	0.767091047	0.767091047	NUM
ejpam-4087	368	71	0.767091047	0.767091047	NUM
ejpam-4087	368	72	0.767093546	0.767093546	NUM
ejpam-4087	368	73	u	u	NOUN
ejpam-4087	368	74	0.136187326	0.136187326	NUM
ejpam-4087	368	75	0.136187326	0.136187326	NUM
ejpam-4087	368	76	0.136187326	0.136187326	NUM
ejpam-4087	368	77	0.136191319	0.136191319	NUM
ejpam-4087	368	78	0.6	0.6	NUM
ejpam-4087	368	79	l	l	NOUN
ejpam-4087	368	80	1.317168717	1.317168717	NUM
ejpam-4087	368	81	1.317168717	1.317168717	NUM
ejpam-4087	368	82	1.317168718	1.317168718	NUM
ejpam-4087	368	83	1.317190739	1.317190739	NUM
ejpam-4087	368	84	u	u	NOUN
ejpam-4087	368	85	0.237475634	0.237475634	NUM
ejpam-4087	368	86	0.237475634	0.237475634	NUM
ejpam-4087	368	87	0.237475634	0.237475634	NUM
ejpam-4087	368	88	0.237504395	0.237504395	NUM
ejpam-4087	368	89	0.8	0.8	NUM
ejpam-4087	368	90	l	l	NOUN
ejpam-4087	368	91	2.076937697	2.076937697	NUM
ejpam-4087	368	92	2.076937698	2.076937698	NUM
ejpam-4087	368	93	2.076937706	2.076937706	NUM
ejpam-4087	368	94	2.077053136	2.077053136	NUM
ejpam-4087	368	95	u	u	NOUN
ejpam-4087	368	96	0.384710630	0.384710630	NUM
ejpam-4087	368	97	0.384710628	0.384710628	NUM
ejpam-4087	368	98	0.384710630	0.384710630	NUM
ejpam-4087	368	99	0.384822684	0.384822684	NUM
ejpam-4087	368	100	1.0	1.0	NUM
ejpam-4087	368	101	l	l	NOUN
ejpam-4087	368	102	3.139469824	3.139469824	NUM
ejpam-4087	368	103	3.139469864	3.139469864	NUM
ejpam-4087	368	104	3.139469904	3.139469904	NUM
ejpam-4087	368	105	3.139936553	3.139936553	NUM
ejpam-4087	368	106	u	u	NOUN
ejpam-4087	368	107	0.600309591	0.600309591	NUM
ejpam-4087	368	108	0.600309524	0.600309524	NUM
ejpam-4087	368	109	0.600309527	0.600309527	NUM
ejpam-4087	368	110	0.600616856	0.600616856	NUM
ejpam-4087	368	111	table	table	NOUN
ejpam-4087	368	112	6	6	NUM
ejpam-4087	368	113	.	.	PUNCT
ejpam-4087	368	114	numerical	numerical	ADJ
ejpam-4087	368	115	results	result	NOUN
ejpam-4087	368	116	for	for	ADP
ejpam-4087	368	117	ũ2	ũ2	PROPN
ejpam-4087	368	118	(	(	PUNCT
ejpam-4087	368	119	x	x	NOUN
ejpam-4087	368	120	,	,	PUNCT
ejpam-4087	368	121	α	α	NOUN
ejpam-4087	368	122	)	)	PUNCT
ejpam-4087	368	123	(	(	PUNCT
ejpam-4087	368	124	problem	problem	NOUN
ejpam-4087	368	125	2	2	NUM
ejpam-4087	368	126	)	)	PUNCT
ejpam-4087	368	127	when	when	SCONJ
ejpam-4087	368	128	α	α	NOUN
ejpam-4087	368	129	=	=	VERB
ejpam-4087	368	130	0.3	0.3	NUM
ejpam-4087	368	131	x	x	NOUN
ejpam-4087	368	132	i	i	PRON
ejpam-4087	368	133	adm	adm	PROPN
ejpam-4087	368	134	iie	iie	PROPN
ejpam-4087	368	135	simp	simp	VERB
ejpam-4087	368	136	trap	trap	NOUN
ejpam-4087	368	137	0.0	0.0	NUM
ejpam-4087	368	138	l	l	NOUN
ejpam-4087	368	139	0.0	0.0	NUM
ejpam-4087	368	140	0.0	0.0	NUM
ejpam-4087	368	141	0.0	0.0	NUM
ejpam-4087	368	142	0.0	0.0	NUM
ejpam-4087	368	143	u	u	NOUN
ejpam-4087	368	144	0.0	0.0	NUM
ejpam-4087	368	145	0.0	0.0	NUM
ejpam-4087	368	146	0.0	0.0	NUM
ejpam-4087	368	147	0.0	0.0	NUM
ejpam-4087	368	148	0.2	0.2	NUM
ejpam-4087	368	149	l	l	NOUN
ejpam-4087	368	150	0.092801026	0.092801026	NUM
ejpam-4087	368	151	0.092801026	0.092801026	NUM
ejpam-4087	368	152	0.092801026	0.092801026	NUM
ejpam-4087	368	153	0.092801087	0.092801087	NUM
ejpam-4087	368	154	u	u	NOUN
ejpam-4087	368	155	0.475703185	0.475703185	NUM
ejpam-4087	368	156	0.475703185	0.475703185	NUM
ejpam-4087	368	157	0.475703185	0.475703185	NUM
ejpam-4087	368	158	0.475703060	0.475703060	NUM
ejpam-4087	368	159	0.4	0.4	NUM
ejpam-4087	368	160	l	l	NOUN
ejpam-4087	368	161	0.130785108	0.130785108	NUM
ejpam-4087	368	162	0.130785108	0.130785108	NUM
ejpam-4087	368	163	0.130785108	0.130785108	NUM
ejpam-4087	368	164	0.130787377	0.130787377	NUM
ejpam-4087	368	165	u	u	NOUN
ejpam-4087	368	166	0.924910864	0.924910864	NUM
ejpam-4087	368	167	0.924910864	0.924910864	NUM
ejpam-4087	368	168	0.924910864	0.924910864	NUM
ejpam-4087	368	169	0.924907020	0.924907020	NUM
ejpam-4087	368	170	0.6	0.6	NUM
ejpam-4087	368	171	l	l	NOUN
ejpam-4087	368	172	0.061390455	0.061390455	NUM
ejpam-4087	368	173	0.061390455	0.061390455	NUM
ejpam-4087	368	174	0.061390456	0.061390456	NUM
ejpam-4087	368	175	0.061411601	0.061411601	NUM
ejpam-4087	368	176	u	u	NOUN
ejpam-4087	368	177	1.317657321	1.317657321	NUM
ejpam-4087	368	178	1.317657321	1.317657321	NUM
ejpam-4087	368	179	1.317657320	1.317657320	NUM
ejpam-4087	368	180	1.317629935	1.317629935	NUM
ejpam-4087	368	181	0.8	0.8	NUM
ejpam-4087	368	182	l	l	NOUN
ejpam-4087	368	183	−0.161630983	−0.161630983	NUM
ejpam-4087	368	184	−0.161630982	−0.161630982	NUM
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ejpam-4087	368	187	u	u	PROPN
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ejpam-4087	368	189	1.617533199	1.617533199	NUM
ejpam-4087	368	190	1.617533198	1.617533198	NUM
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ejpam-4087	368	192	1.0	1.0	NUM
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ejpam-4087	368	199	1.779759247	1.779759247	NUM
ejpam-4087	368	200	1.779759262	1.779759262	NUM
ejpam-4087	368	201	1.779759263	1.779759263	NUM
ejpam-4087	368	202	1.779483691	1.779483691	NUM
ejpam-4087	368	203	m.	m.	NOUN
ejpam-4087	368	204	t.	t.	PROPN
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ejpam-4087	368	206	,	,	PUNCT
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ejpam-4087	369	12	2022	2022	NUM
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ejpam-4087	369	22	numerical	numerical	ADJ
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ejpam-4087	369	25	ũ1	ũ1	PROPN
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ejpam-4087	369	40	i	i	PRON
ejpam-4087	369	41	adm	adm	PROPN
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ejpam-4087	369	44	trap	trap	NOUN
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ejpam-4087	369	46	l	l	NOUN
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ejpam-4087	369	51	u	u	NOUN
ejpam-4087	369	52	0.0	0.0	NUM
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ejpam-4087	369	54	0.0	0.0	NUM
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ejpam-4087	369	56	0.2	0.2	NUM
ejpam-4087	369	57	l	l	NOUN
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ejpam-4087	369	61	0.228404119	0.228404119	NUM
ejpam-4087	369	62	u	u	NOUN
ejpam-4087	369	63	0.186735344	0.186735344	NUM
ejpam-4087	369	64	0.186735344	0.186735344	NUM
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ejpam-4087	369	66	0.186735394	0.186735394	NUM
ejpam-4087	369	67	0.4	0.4	NUM
ejpam-4087	369	68	l	l	NOUN
ejpam-4087	369	69	0.507332123	0.507332123	NUM
ejpam-4087	369	70	0.507332123	0.507332123	NUM
ejpam-4087	369	71	0.507332123	0.507332123	NUM
ejpam-4087	369	72	0.507333716	0.507333716	NUM
ejpam-4087	369	73	u	u	NOUN
ejpam-4087	369	74	0.413926676	0.413926676	NUM
ejpam-4087	369	75	0.413926676	0.413926676	NUM
ejpam-4087	369	76	0.413926676	0.413926676	NUM
ejpam-4087	369	77	0.413928238	0.413928238	NUM
ejpam-4087	369	78	0.6	0.6	NUM
ejpam-4087	369	79	l	l	NOUN
ejpam-4087	369	80	0.887832878	0.887832878	NUM
ejpam-4087	369	81	0.887832878	0.887832878	NUM
ejpam-4087	369	82	0.887832879	0.887832879	NUM
ejpam-4087	369	83	0.887845675	0.887845675	NUM
ejpam-4087	369	84	u	u	NOUN
ejpam-4087	369	85	0.722198170	0.722198170	NUM
ejpam-4087	369	86	0.722198170	0.722198170	NUM
ejpam-4087	369	87	0.722198171	0.722198171	NUM
ejpam-4087	369	88	0.722209943	0.722209943	NUM
ejpam-4087	369	89	0.8	0.8	NUM
ejpam-4087	369	90	l	l	NOUN
ejpam-4087	369	91	1.422181142	1.422181142	NUM
ejpam-4087	369	92	1.422181142	1.422181142	NUM
ejpam-4087	369	93	1.422181145	1.422181145	NUM
ejpam-4087	369	94	1.422242142	1.422242142	NUM
ejpam-4087	369	95	u	u	NOUN
ejpam-4087	369	96	1.152251625	1.152251625	NUM
ejpam-4087	369	97	1.152251626	1.152251626	NUM
ejpam-4087	369	98	1.152251628	1.152251628	NUM
ejpam-4087	369	99	1.152302769	1.152302769	NUM
ejpam-4087	369	100	1.0	1.0	NUM
ejpam-4087	369	101	l	l	NOUN
ejpam-4087	369	102	2.165166483	2.165166483	NUM
ejpam-4087	369	103	2.165166491	2.165166491	NUM
ejpam-4087	369	104	2.165166509	2.165166509	NUM
ejpam-4087	369	105	2.165395782	2.165395782	NUM
ejpam-4087	369	106	u	u	NOUN
ejpam-4087	369	107	1.744176060	1.744176060	NUM
ejpam-4087	369	108	1.744176064	1.744176064	NUM
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ejpam-4087	369	110	1.744349048	1.744349048	NUM
ejpam-4087	369	111	table	table	NOUN
ejpam-4087	369	112	8	8	NUM
ejpam-4087	369	113	.	.	PUNCT
ejpam-4087	370	1	numerical	numerical	ADJ
ejpam-4087	370	2	results	result	NOUN
ejpam-4087	370	3	for	for	ADP
ejpam-4087	370	4	ũ2	ũ2	PROPN
ejpam-4087	370	5	(	(	PUNCT
ejpam-4087	370	6	x	x	NOUN
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ejpam-4087	370	8	α	α	NOUN
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ejpam-4087	370	11	problem	problem	NOUN
ejpam-4087	370	12	2	2	NUM
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ejpam-4087	370	14	when	when	SCONJ
ejpam-4087	370	15	α	α	NOUN
ejpam-4087	370	16	=	=	NOUN
ejpam-4087	370	17	0.9	0.9	NUM
ejpam-4087	370	18	x	x	NOUN
ejpam-4087	370	19	i	i	PRON
ejpam-4087	370	20	adm	adm	PROPN
ejpam-4087	370	21	iie	iie	PROPN
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ejpam-4087	370	35	0.2	0.2	NUM
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ejpam-4087	371	9	0.4	0.4	NUM
ejpam-4087	371	10	l	l	NOUN
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ejpam-4087	371	14	0.330021918	0.330021918	NUM
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ejpam-4087	371	17	0.420160289	0.420160289	NUM
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ejpam-4087	371	19	0.420160096	0.420160096	NUM
ejpam-4087	371	20	0.6	0.6	NUM
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ejpam-4087	371	23	0.371610554	0.371610554	NUM
ejpam-4087	371	24	0.371610555	0.371610555	NUM
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ejpam-4087	371	26	u	u	NOUN
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ejpam-4087	371	31	0.8	0.8	NUM
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ejpam-4087	371	34	0.266194321	0.266194321	NUM
ejpam-4087	371	35	0.266194325	0.266194325	NUM
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ejpam-4087	371	37	u	u	NOUN
ejpam-4087	371	38	0.478812319	0.478812319	NUM
ejpam-4087	371	39	0.478812319	0.478812319	NUM
ejpam-4087	371	40	0.478812322	0.478812322	NUM
ejpam-4087	371	41	0.478830230	0.478830230	NUM
ejpam-4087	371	42	1.0	1.0	NUM
ejpam-4087	371	43	l	l	NOUN
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ejpam-4087	371	45	−0.032275864	−0.032275864	PUNCT
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ejpam-4087	371	47	−0.032075986	−0.032075986	X
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ejpam-4087	371	50	0.256634705	0.256634705	NUM
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ejpam-4087	371	52	0.256743055	0.256743055	NUM
ejpam-4087	371	53	table	table	NOUN
ejpam-4087	371	54	9	9	NUM
ejpam-4087	371	55	.	.	X
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ejpam-4087	371	57	residual	residual	ADJ
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ejpam-4087	371	59	ũ1	ũ1	PROPN
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ejpam-4087	371	76	=	=	SYM
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ejpam-4087	379	30	07	07	NUM
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ejpam-4087	379	51	−	−	NOUN
ejpam-4087	379	52	04	04	NUM
ejpam-4087	379	53	2.712e	2.712e	NUM
ejpam-4087	379	54	−	−	NUM
ejpam-4087	379	55	08	08	NUM
ejpam-4087	379	56	2.320e	2.320e	NOUN
ejpam-4087	379	57	−	−	PROPN
ejpam-4087	379	58	04	04	NUM
ejpam-4087	379	59	9.465e	9.465e	NUM
ejpam-4087	379	60	−	−	NOUN
ejpam-4087	379	61	08	08	NUM
ejpam-4087	379	62	4.912e	4.912e	NUM
ejpam-4087	379	63	−	−	NOUN
ejpam-4087	379	64	04	04	NUM
ejpam-4087	379	65	6	6	NUM
ejpam-4087	379	66	l	l	NOUN
ejpam-4087	379	67	7.390e	7.390e	NUM
ejpam-4087	379	68	−	−	PROPN
ejpam-4087	379	69	10	10	NUM
ejpam-4087	379	70	1.156e	1.156e	NUM
ejpam-4087	379	71	−	−	NOUN
ejpam-4087	379	72	05	05	NUM
ejpam-4087	379	73	3.058e	3.058e	NUM
ejpam-4087	379	74	−	−	PROPN
ejpam-4087	379	75	10	10	NUM
ejpam-4087	379	76	9.433e	9.433e	NUM
ejpam-4087	379	77	−	−	NOUN
ejpam-4087	379	78	07	07	NUM
ejpam-4087	379	79	9.920e	9.920e	NUM
ejpam-4087	379	80	−	−	PROPN
ejpam-4087	379	81	11	11	NUM
ejpam-4087	379	82	3.428e	3.428e	NUM
ejpam-4087	379	83	−	−	PROPN
ejpam-4087	379	84	06	06	NUM
ejpam-4087	379	85	u	u	NOUN
ejpam-4087	379	86	1.350e	1.350e	NUM
ejpam-4087	379	87	−	−	PROPN
ejpam-4087	379	88	09	09	NUM
ejpam-4087	379	89	3.118e	3.118e	NUM
ejpam-4087	379	90	−	−	NUM
ejpam-4087	379	91	06	06	NUM
ejpam-4087	379	92	7.110e	7.110e	NUM
ejpam-4087	379	93	−	−	PROPN
ejpam-4087	379	94	11	11	NUM
ejpam-4087	379	95	5.122e	5.122e	NUM
ejpam-4087	379	96	−	−	NOUN
ejpam-4087	379	97	06	06	NUM
ejpam-4087	379	98	5.014e	5.014e	NUM
ejpam-4087	379	99	−	−	PROPN
ejpam-4087	379	100	11	11	NUM
ejpam-4087	379	101	5.347e	5.347e	NUM
ejpam-4087	379	102	−	−	PROPN
ejpam-4087	379	103	06	06	NUM
ejpam-4087	379	104	references	reference	NOUN
ejpam-4087	379	105	310	310	NUM
ejpam-4087	379	106	table	table	NOUN
ejpam-4087	379	107	10	10	NUM
ejpam-4087	379	108	.	.	PUNCT
ejpam-4087	380	1	error	error	NOUN
ejpam-4087	380	2	residual	residual	ADJ
ejpam-4087	380	3	for	for	ADP
ejpam-4087	380	4	ũ2	ũ2	PROPN
ejpam-4087	380	5	(	(	PUNCT
ejpam-4087	380	6	x	x	PROPN
ejpam-4087	380	7	,	,	PUNCT
ejpam-4087	380	8	α	α	NOUN
ejpam-4087	380	9	)	)	PUNCT
ejpam-4087	380	10	(	(	PUNCT
ejpam-4087	380	11	problem	problem	NOUN
ejpam-4087	380	12	2	2	NUM
ejpam-4087	380	13	)	)	PUNCT
ejpam-4087	380	14	α	α	NOUN
ejpam-4087	380	15	=	=	NOUN
ejpam-4087	380	16	0.3	0.3	NUM
ejpam-4087	380	17	α	α	NOUN
ejpam-4087	380	18	=	=	NOUN
ejpam-4087	380	19	0.6	0.6	NUM
ejpam-4087	380	20	α	α	NOUN
ejpam-4087	380	21	=	=	SYM
ejpam-4087	380	22	0.9	0.9	NUM
ejpam-4087	381	1	n	n	NOUN
ejpam-4087	382	1	i	i	PRON
ejpam-4087	382	2	adm	adm	PROPN
ejpam-4087	382	3	mt	mt	PROPN
ejpam-4087	382	4	adm	adm	PROPN
ejpam-4087	382	5	mt	mt	PROPN
ejpam-4087	382	6	adm	adm	PROPN
ejpam-4087	382	7	mt	mt	PROPN
ejpam-4087	382	8	3	3	NUM
ejpam-4087	382	9	l	l	NOUN
ejpam-4087	382	10	3.751e	3.751e	NUM
ejpam-4087	382	11	−	−	NOUN
ejpam-4087	382	12	04	04	NUM
ejpam-4087	382	13	1.147e	1.147e	NUM
ejpam-4087	382	14	−	−	PROPN
ejpam-4087	382	15	01	01	NUM
ejpam-4087	382	16	2.955e	2.955e	NUM
ejpam-4087	382	17	−	−	NOUN
ejpam-4087	382	18	04	04	NUM
ejpam-4087	383	1	5.029e	5.029e	NUM
ejpam-4087	383	2	−	−	PROPN
ejpam-4087	383	3	02	02	NUM
ejpam-4087	383	4	1.979e	1.979e	NUM
ejpam-4087	383	5	−	−	NOUN
ejpam-4087	383	6	04	04	NUM
ejpam-4087	384	1	5.800e	5.800e	NUM
ejpam-4087	384	2	−	−	NUM
ejpam-4087	384	3	03	03	NUM
ejpam-4087	384	4	u	u	NOUN
ejpam-4087	384	5	3.081e	3.081e	NUM
ejpam-4087	384	6	−	−	NOUN
ejpam-4087	384	7	04	04	NUM
ejpam-4087	385	1	4.793e	4.793e	NUM
ejpam-4087	385	2	−	−	NUM
ejpam-4087	385	3	02	02	NUM
ejpam-4087	385	4	3.550e	3.550e	NUM
ejpam-4087	385	5	−	−	PROPN
ejpam-4087	385	6	05	05	NUM
ejpam-4087	385	7	5.832e	5.832e	NOUN
ejpam-4087	385	8	−	−	PROPN
ejpam-4087	385	9	02	02	NUM
ejpam-4087	385	10	1.570e	1.570e	NUM
ejpam-4087	385	11	−	−	PROPN
ejpam-4087	385	12	04	04	NUM
ejpam-4087	385	13	3.058e	3.058e	NUM
ejpam-4087	385	14	−	−	NUM
ejpam-4087	385	15	02	02	NUM
ejpam-4087	385	16	4	4	NUM
ejpam-4087	385	17	l	l	NOUN
ejpam-4087	385	18	2.525e	2.525e	NUM
ejpam-4087	385	19	−	−	NUM
ejpam-4087	385	20	06	06	NUM
ejpam-4087	385	21	1.333e	1.333e	NUM
ejpam-4087	385	22	−	−	PROPN
ejpam-4087	385	23	02	02	NUM
ejpam-4087	385	24	2.198e	2.198e	NUM
ejpam-4087	385	25	−	−	NOUN
ejpam-4087	385	26	06	06	NUM
ejpam-4087	386	1	9.011e	9.011e	NUM
ejpam-4087	386	2	−	−	NOUN
ejpam-4087	386	3	03	03	NUM
ejpam-4087	387	1	1.211e	1.211e	NOUN
ejpam-4087	387	2	−	−	NOUN
ejpam-4087	387	3	06	06	NUM
ejpam-4087	388	1	5.735e	5.735e	NUM
ejpam-4087	388	2	−	−	NUM
ejpam-4087	388	3	03	03	NUM
ejpam-4087	389	1	u	u	NOUN
ejpam-4087	389	2	4.310e	4.310e	ADJ
ejpam-4087	389	3	−	−	PROPN
ejpam-4087	389	4	06	06	NUM
ejpam-4087	389	5	1.150e	1.150e	NUM
ejpam-4087	389	6	−	−	NUM
ejpam-4087	389	7	03	03	NUM
ejpam-4087	389	8	1.956e	1.956e	NOUN
ejpam-4087	389	9	−	−	PROPN
ejpam-4087	389	10	06	06	NUM
ejpam-4087	389	11	1.755e	1.755e	NUM
ejpam-4087	389	12	−	−	NOUN
ejpam-4087	389	13	03	03	NUM
ejpam-4087	390	1	9.418e	9.418e	NUM
ejpam-4087	390	2	−	−	PROPN
ejpam-4087	390	3	06	06	NUM
ejpam-4087	390	4	3.528e	3.528e	NOUN
ejpam-4087	390	5	−	−	NOUN
ejpam-4087	390	6	03	03	NUM
ejpam-4087	390	7	5	5	NUM
ejpam-4087	390	8	l	l	NOUN
ejpam-4087	390	9	4.271e	4.271e	NUM
ejpam-4087	390	10	−	−	PROPN
ejpam-4087	390	11	08	08	NUM
ejpam-4087	390	12	1.581e	1.581e	NUM
ejpam-4087	391	1	−	−	NOUN
ejpam-4087	391	2	03	03	NUM
ejpam-4087	391	3	1.928e	1.928e	NOUN
ejpam-4087	391	4	−	−	NOUN
ejpam-4087	391	5	08	08	NUM
ejpam-4087	392	1	1.080e	1.080e	NUM
ejpam-4087	392	2	−	−	NOUN
ejpam-4087	392	3	03	03	NUM
ejpam-4087	393	1	7.010e	7.010e	NUM
ejpam-4087	393	2	−	−	PROPN
ejpam-4087	393	3	09	09	NUM
ejpam-4087	393	4	6.880e	6.880e	NUM
ejpam-4087	393	5	−	−	NUM
ejpam-4087	393	6	04	04	NUM
ejpam-4087	393	7	u	u	NOUN
ejpam-4087	393	8	5.304e	5.304e	NUM
ejpam-4087	393	9	−	−	NOUN
ejpam-4087	393	10	08	08	NUM
ejpam-4087	393	11	2.046e	2.046e	ADJ
ejpam-4087	393	12	−	−	NOUN
ejpam-4087	393	13	05	05	NUM
ejpam-4087	393	14	7.163e	7.163e	NOUN
ejpam-4087	393	15	−	−	PROPN
ejpam-4087	393	16	09	09	NUM
ejpam-4087	393	17	2.097e	2.097e	NUM
ejpam-4087	393	18	−	−	NOUN
ejpam-4087	393	19	03	03	NUM
ejpam-4087	393	20	4.217e	4.217e	NUM
ejpam-4087	393	21	−	−	PROPN
ejpam-4087	393	22	09	09	NUM
ejpam-4087	393	23	3.332e	3.332e	PROPN
ejpam-4087	393	24	−	−	NOUN
ejpam-4087	393	25	04	04	NUM
ejpam-4087	393	26	6	6	NUM
ejpam-4087	393	27	l	l	NOUN
ejpam-4087	393	28	4.399e	4.399e	NOUN
ejpam-4087	393	29	−	−	PROPN
ejpam-4087	393	30	09	09	NUM
ejpam-4087	393	31	2.319e	2.319e	NUM
ejpam-4087	393	32	−	−	NOUN
ejpam-4087	393	33	05	05	NUM
ejpam-4087	394	1	1.501e	1.501e	NUM
ejpam-4087	394	2	−	−	NUM
ejpam-4087	394	3	10	10	NUM
ejpam-4087	394	4	1.066e	1.066e	NUM
ejpam-4087	394	5	−	−	NOUN
ejpam-4087	394	6	05	05	NUM
ejpam-4087	394	7	4.090e	4.090e	NUM
ejpam-4087	395	1	−	−	NUM
ejpam-4087	395	2	11	11	NUM
ejpam-4087	395	3	3.979e	3.979e	NUM
ejpam-4087	395	4	−	−	NUM
ejpam-4087	395	5	06	06	NUM
ejpam-4087	395	6	u	u	NOUN
ejpam-4087	395	7	8.205e	8.205e	NUM
ejpam-4087	395	8	−	−	PROPN
ejpam-4087	395	9	10	10	NUM
ejpam-4087	395	10	2.289e	2.289e	NUM
ejpam-4087	395	11	−	−	NOUN
ejpam-4087	395	12	07	07	NUM
ejpam-4087	395	13	3.357e	3.357e	NUM
ejpam-4087	395	14	−	−	PROPN
ejpam-4087	395	15	11	11	NUM
ejpam-4087	395	16	5.404e	5.404e	NUM
ejpam-4087	395	17	−	−	PROPN
ejpam-4087	395	18	07	07	NUM
ejpam-4087	395	19	1.672e	1.672e	NUM
ejpam-4087	395	20	−	−	PROPN
ejpam-4087	395	21	11	11	NUM
ejpam-4087	395	22	6.306e	6.306e	NUM
ejpam-4087	395	23	−	−	NOUN
ejpam-4087	395	24	07	07	NUM
ejpam-4087	395	25	6	6	NUM
ejpam-4087	395	26	.	.	PUNCT
ejpam-4087	396	1	conclusions	conclusion	NOUN
ejpam-4087	396	2	the	the	DET
ejpam-4087	396	3	results	result	NOUN
ejpam-4087	396	4	obtained	obtain	VERB
ejpam-4087	396	5	from	from	ADP
ejpam-4087	396	6	the	the	DET
ejpam-4087	396	7	two	two	NUM
ejpam-4087	396	8	given	give	VERB
ejpam-4087	396	9	problems	problem	NOUN
ejpam-4087	396	10	,	,	PUNCT
ejpam-4087	396	11	have	have	AUX
ejpam-4087	396	12	been	be	AUX
ejpam-4087	396	13	shown	show	VERB
ejpam-4087	396	14	that	that	SCONJ
ejpam-4087	396	15	the	the	DET
ejpam-4087	396	16	adomian	adomian	NOUN
ejpam-4087	396	17	decomposition	decomposition	NOUN
ejpam-4087	396	18	method	method	NOUN
ejpam-4087	396	19	and	and	CCONJ
ejpam-4087	396	20	modified	modify	VERB
ejpam-4087	396	21	technique	technique	NOUN
ejpam-4087	396	22	are	be	AUX
ejpam-4087	396	23	powerful	powerful	ADJ
ejpam-4087	396	24	and	and	CCONJ
ejpam-4087	396	25	efficient	efficient	ADJ
ejpam-4087	396	26	techniques	technique	NOUN
ejpam-4087	396	27	to	to	PART
ejpam-4087	396	28	find	find	VERB
ejpam-4087	396	29	the	the	DET
ejpam-4087	396	30	approximate	approximate	ADJ
ejpam-4087	396	31	solution	solution	NOUN
ejpam-4087	396	32	for	for	ADP
ejpam-4087	396	33	both	both	CCONJ
ejpam-4087	396	34	linear	linear	ADJ
ejpam-4087	396	35	and	and	CCONJ
ejpam-4087	396	36	non	non	ADJ
ejpam-4087	396	37	-	-	ADJ
ejpam-4087	396	38	linear	linear	ADJ
ejpam-4087	396	39	fuzzy	fuzzy	ADJ
ejpam-4087	396	40	system	system	NOUN
ejpam-4087	396	41	of	of	ADP
ejpam-4087	396	42	volterra	volterra	PROPN
ejpam-4087	396	43	integro	integro	PROPN
ejpam-4087	396	44	-	-	PUNCT
ejpam-4087	396	45	differential	differential	NOUN
ejpam-4087	396	46	equations	equation	NOUN
ejpam-4087	396	47	of	of	ADP
ejpam-4087	396	48	the	the	DET
ejpam-4087	396	49	second	second	ADJ
ejpam-4087	396	50	kind	kind	NOUN
ejpam-4087	396	51	according	accord	VERB
ejpam-4087	396	52	to	to	ADP
ejpam-4087	396	53	the	the	DET
ejpam-4087	396	54	numerical	numerical	ADJ
ejpam-4087	396	55	results	result	NOUN
ejpam-4087	396	56	,	,	PUNCT
ejpam-4087	396	57	mentioned	mention	VERB
ejpam-4087	396	58	in	in	ADP
ejpam-4087	396	59	the	the	DET
ejpam-4087	396	60	tables	table	NOUN
ejpam-4087	396	61	and	and	CCONJ
ejpam-4087	396	62	graphs	graph	NOUN
ejpam-4087	396	63	.	.	PUNCT
ejpam-4087	397	1	therefore	therefore	ADV
ejpam-4087	397	2	,	,	PUNCT
ejpam-4087	397	3	increasing	increase	VERB
ejpam-4087	397	4	the	the	DET
ejpam-4087	397	5	number	number	NOUN
ejpam-4087	397	6	of	of	ADP
ejpam-4087	397	7	iterations	iteration	NOUN
ejpam-4087	397	8	in	in	ADP
ejpam-4087	397	9	the	the	DET
ejpam-4087	397	10	adomian	adomian	NOUN
ejpam-4087	397	11	decomposition	decomposition	NOUN
ejpam-4087	397	12	method	method	NOUN
ejpam-4087	397	13	and	and	CCONJ
ejpam-4087	397	14	modified	modify	VERB
ejpam-4087	397	15	technique	technique	NOUN
ejpam-4087	397	16	,	,	PUNCT
ejpam-4087	397	17	make	make	VERB
ejpam-4087	397	18	the	the	DET
ejpam-4087	397	19	approximate	approximate	ADJ
ejpam-4087	397	20	solution	solution	NOUN
ejpam-4087	397	21	tends	tend	VERB
ejpam-4087	397	22	to	to	ADP
ejpam-4087	397	23	the	the	DET
ejpam-4087	397	24	exact	exact	ADJ
ejpam-4087	397	25	solution	solution	NOUN
ejpam-4087	397	26	.	.	PUNCT
ejpam-4087	398	1	for	for	ADP
ejpam-4087	398	2	the	the	DET
ejpam-4087	398	3	non	non	ADJ
ejpam-4087	398	4	-	-	ADJ
ejpam-4087	398	5	linear	linear	ADJ
ejpam-4087	398	6	problem	problem	NOUN
ejpam-4087	398	7	,	,	PUNCT
ejpam-4087	398	8	we	we	PRON
ejpam-4087	398	9	conclude	conclude	VERB
ejpam-4087	398	10	that	that	SCONJ
ejpam-4087	398	11	the	the	DET
ejpam-4087	398	12	numerical	numerical	ADJ
ejpam-4087	398	13	results	result	NOUN
ejpam-4087	398	14	by	by	ADP
ejpam-4087	398	15	using	use	VERB
ejpam-4087	398	16	the	the	DET
ejpam-4087	398	17	numerical	numerical	ADJ
ejpam-4087	398	18	solution	solution	NOUN
ejpam-4087	398	19	with	with	ADP
ejpam-4087	398	20	the	the	DET
ejpam-4087	398	21	simpson	simpson	PROPN
ejpam-4087	398	22	rule	rule	NOUN
ejpam-4087	398	23	close	close	ADV
ejpam-4087	398	24	to	to	ADP
ejpam-4087	398	25	the	the	DET
ejpam-4087	398	26	exact	exact	ADJ
ejpam-4087	398	27	solution	solution	NOUN
ejpam-4087	398	28	more	more	ADJ
ejpam-4087	398	29	than	than	ADP
ejpam-4087	398	30	the	the	DET
ejpam-4087	398	31	numerical	numerical	ADJ
ejpam-4087	398	32	solution	solution	NOUN
ejpam-4087	398	33	with	with	ADP
ejpam-4087	398	34	the	the	DET
ejpam-4087	398	35	trapezoidal	trapezoidal	ADJ
ejpam-4087	398	36	rule	rule	NOUN
ejpam-4087	398	37	.	.	PUNCT
ejpam-4087	399	1	finally	finally	ADV
ejpam-4087	399	2	,	,	PUNCT
ejpam-4087	399	3	we	we	PRON
ejpam-4087	399	4	conclude	conclude	VERB
ejpam-4087	399	5	that	that	SCONJ
ejpam-4087	399	6	the	the	DET
ejpam-4087	399	7	methods	method	NOUN
ejpam-4087	399	8	are	be	AUX
ejpam-4087	399	9	extremely	extremely	ADV
ejpam-4087	399	10	quick	quick	ADJ
ejpam-4087	399	11	and	and	CCONJ
ejpam-4087	399	12	simple	simple	ADJ
ejpam-4087	399	13	to	to	PART
ejpam-4087	399	14	converge	converge	VERB
ejpam-4087	399	15	for	for	ADP
ejpam-4087	399	16	solving	solve	VERB
ejpam-4087	399	17	any	any	DET
ejpam-4087	399	18	equation	equation	NOUN
ejpam-4087	399	19	or	or	CCONJ
ejpam-4087	399	20	system	system	NOUN
ejpam-4087	399	21	for	for	ADP
ejpam-4087	399	22	any	any	DET
ejpam-4087	399	23	value	value	NOUN
ejpam-4087	399	24	of	of	ADP
ejpam-4087	399	25	α	α	NOUN
ejpam-4087	399	26	,	,	PUNCT
ejpam-4087	399	27	and	and	CCONJ
ejpam-4087	399	28	it	it	PRON
ejpam-4087	399	29	provides	provide	VERB
ejpam-4087	399	30	more	more	ADV
ejpam-4087	399	31	accurate	accurate	ADJ
ejpam-4087	399	32	results	result	NOUN
ejpam-4087	399	33	and	and	CCONJ
ejpam-4087	399	34	therefore	therefore	ADV
ejpam-4087	399	35	is	be	AUX
ejpam-4087	399	36	more	more	ADV
ejpam-4087	399	37	advantageous	advantageous	ADJ
ejpam-4087	399	38	.	.	PUNCT
ejpam-4087	400	1	acknowledgements	acknowledgement	VERB
ejpam-4087	400	2	the	the	DET
ejpam-4087	400	3	college	college	NOUN
ejpam-4087	400	4	of	of	ADP
ejpam-4087	400	5	computer	computer	NOUN
ejpam-4087	400	6	science	science	NOUN
ejpam-4087	400	7	and	and	CCONJ
ejpam-4087	400	8	mathematics	mathematic	NOUN
ejpam-4087	400	9	at	at	ADP
ejpam-4087	400	10	the	the	DET
ejpam-4087	400	11	university	university	PROPN
ejpam-4087	400	12	of	of	ADP
ejpam-4087	400	13	mosul	mosul	PROPN
ejpam-4087	400	14	,	,	PUNCT
ejpam-4087	400	15	iraq	iraq	PROPN
ejpam-4087	400	16	,	,	PUNCT
ejpam-4087	400	17	provided	provide	VERB
ejpam-4087	400	18	funding	funding	NOUN
ejpam-4087	400	19	for	for	ADP
ejpam-4087	400	20	this	this	DET
ejpam-4087	400	21	study	study	NOUN
ejpam-4087	400	22	.	.	PUNCT
ejpam-4087	401	1	references	reference	NOUN
ejpam-4087	401	2	[	[	X
ejpam-4087	401	3	1	1	NUM
ejpam-4087	401	4	]	]	PUNCT
ejpam-4087	401	5	hermann	hermann	PROPN
ejpam-4087	401	6	brunner	brunner	PROPN
ejpam-4087	401	7	.	.	PUNCT
ejpam-4087	402	1	volterra	volterra	PROPN
ejpam-4087	402	2	integral	integral	ADJ
ejpam-4087	402	3	equations	equation	NOUN
ejpam-4087	402	4	:	:	PUNCT
ejpam-4087	402	5	an	an	DET
ejpam-4087	402	6	introduction	introduction	NOUN
ejpam-4087	402	7	to	to	ADP
ejpam-4087	402	8	theory	theory	NOUN
ejpam-4087	402	9	and	and	CCONJ
ejpam-4087	402	10	applications	application	NOUN
ejpam-4087	402	11	.	.	PUNCT
ejpam-4087	403	1	cambridge	cambridge	PROPN
ejpam-4087	403	2	university	university	PROPN
ejpam-4087	403	3	press	press	PROPN
ejpam-4087	403	4	,	,	PUNCT
ejpam-4087	403	5	cambridge	cambridge	PROPN
ejpam-4087	403	6	monographs	monograph	NOUN
ejpam-4087	403	7	on	on	ADP
ejpam-4087	403	8	applied	applied	ADJ
ejpam-4087	403	9	and	and	CCONJ
ejpam-4087	403	10	computational	computational	ADJ
ejpam-4087	403	11	mathematics	mathematic	NOUN
ejpam-4087	403	12	,	,	PUNCT
ejpam-4087	403	13	2017	2017	NUM
ejpam-4087	403	14	.	.	PUNCT
ejpam-4087	404	1	[	[	X
ejpam-4087	404	2	2	2	X
ejpam-4087	404	3	]	]	PUNCT
ejpam-4087	404	4	h.	h.	PROPN
ejpam-4087	404	5	j.	j.	PROPN
ejpam-4087	404	6	zimmermann	zimmermann	PROPN
ejpam-4087	404	7	.	.	PUNCT
ejpam-4087	404	8	fuzzy	fuzzy	ADJ
ejpam-4087	404	9	set	set	VERB
ejpam-4087	404	10	theory	theory	NOUN
ejpam-4087	404	11	and	and	CCONJ
ejpam-4087	404	12	its	its	PRON
ejpam-4087	404	13	application	application	NOUN
ejpam-4087	404	14	.	.	PUNCT
ejpam-4087	405	1	springer	springer	NOUN
ejpam-4087	405	2	science	science	PROPN
ejpam-4087	405	3	,	,	PUNCT
ejpam-4087	405	4	2001	2001	NUM
ejpam-4087	405	5	.	.	PUNCT
ejpam-4087	406	1	[	[	X
ejpam-4087	406	2	3	3	NUM
ejpam-4087	406	3	]	]	X
ejpam-4087	406	4	abdul	abdul	PROPN
ejpam-4087	406	5	-	-	PUNCT
ejpam-4087	406	6	majid	majid	PROPN
ejpam-4087	406	7	wazwaz	wazwaz	NOUN
ejpam-4087	406	8	.	.	PUNCT
ejpam-4087	407	1	a	a	DET
ejpam-4087	407	2	new	new	ADJ
ejpam-4087	407	3	algorithm	algorithm	NOUN
ejpam-4087	407	4	for	for	ADP
ejpam-4087	407	5	calculating	calculate	VERB
ejpam-4087	407	6	adomian	adomian	NOUN
ejpam-4087	407	7	polynomials	polynomial	NOUN
ejpam-4087	407	8	for	for	ADP
ejpam-4087	407	9	nonlinear	nonlinear	ADJ
ejpam-4087	407	10	operators	operator	NOUN
ejpam-4087	407	11	.	.	PUNCT
ejpam-4087	408	1	applied	apply	VERB
ejpam-4087	408	2	mathematics	mathematic	NOUN
ejpam-4087	408	3	and	and	CCONJ
ejpam-4087	408	4	computation	computation	NOUN
ejpam-4087	408	5	,	,	PUNCT
ejpam-4087	408	6	111(1):53–69	111(1):53–69	NUM
ejpam-4087	408	7	,	,	PUNCT
ejpam-4087	408	8	2000	2000	NUM
ejpam-4087	408	9	.	.	PUNCT
ejpam-4087	409	1	[	[	X
ejpam-4087	409	2	4	4	NUM
ejpam-4087	409	3	]	]	PUNCT
ejpam-4087	409	4	george	george	PROPN
ejpam-4087	409	5	adomian	adomian	PROPN
ejpam-4087	409	6	.	.	PUNCT
ejpam-4087	410	1	nonlinear	nonlinear	ADJ
ejpam-4087	410	2	stochastic	stochastic	ADJ
ejpam-4087	410	3	operator	operator	NOUN
ejpam-4087	410	4	equations	equation	NOUN
ejpam-4087	410	5	.	.	PUNCT
ejpam-4087	411	1	academic	academic	ADJ
ejpam-4087	411	2	press	press	NOUN
ejpam-4087	411	3	,	,	PUNCT
ejpam-4087	411	4	new	new	PROPN
ejpam-4087	411	5	york	york	PROPN
ejpam-4087	411	6	,	,	PUNCT
ejpam-4087	411	7	1986	1986	NUM
ejpam-4087	411	8	.	.	PUNCT
ejpam-4087	412	1	references	reference	NOUN
ejpam-4087	412	2	311	311	NUM
ejpam-4087	412	3	[	[	X
ejpam-4087	412	4	5	5	NUM
ejpam-4087	412	5	]	]	PUNCT
ejpam-4087	412	6	george	george	PROPN
ejpam-4087	412	7	adomian	adomian	PROPN
ejpam-4087	412	8	.	.	PUNCT
ejpam-4087	413	1	nonlinear	nonlinear	ADJ
ejpam-4087	413	2	stochastic	stochastic	ADJ
ejpam-4087	413	3	systems	system	NOUN
ejpam-4087	413	4	theory	theory	NOUN
ejpam-4087	413	5	and	and	CCONJ
ejpam-4087	413	6	applications	application	NOUN
ejpam-4087	413	7	to	to	ADP
ejpam-4087	413	8	physics	physics	PROPN
ejpam-4087	413	9	.	.	PUNCT
ejpam-4087	414	1	kluwer	kluwer	PROPN
ejpam-4087	414	2	academic	academic	ADJ
ejpam-4087	414	3	publishers	publisher	NOUN
ejpam-4087	414	4	,	,	PUNCT
ejpam-4087	414	5	dordrecht	dordrecht	PROPN
ejpam-4087	414	6	,	,	PUNCT
ejpam-4087	414	7	1989	1989	NUM
ejpam-4087	414	8	.	.	PUNCT
ejpam-4087	415	1	[	[	X
ejpam-4087	415	2	6	6	NUM
ejpam-4087	415	3	]	]	PUNCT
ejpam-4087	415	4	george	george	PROPN
ejpam-4087	415	5	adomian	adomian	NOUN
ejpam-4087	415	6	.	.	PUNCT
ejpam-4087	416	1	solving	solve	VERB
ejpam-4087	416	2	frontier	frontier	NOUN
ejpam-4087	416	3	problems	problem	NOUN
ejpam-4087	416	4	of	of	ADP
ejpam-4087	416	5	physics	physics	NOUN
ejpam-4087	416	6	:	:	PUNCT
ejpam-4087	416	7	the	the	DET
ejpam-4087	416	8	decomposition	decomposition	NOUN
ejpam-4087	416	9	method	method	NOUN
ejpam-4087	416	10	.	.	PUNCT
ejpam-4087	417	1	kluwer	kluwer	NOUN
ejpam-4087	417	2	academic	academic	ADJ
ejpam-4087	417	3	publishers	publisher	NOUN
ejpam-4087	417	4	,	,	PUNCT
ejpam-4087	417	5	dordrecht	dordrecht	PROPN
ejpam-4087	417	6	,	,	PUNCT
ejpam-4087	417	7	1994	1994	NUM
ejpam-4087	417	8	.	.	PUNCT
ejpam-4087	418	1	[	[	X
ejpam-4087	418	2	7	7	X
ejpam-4087	418	3	]	]	X
ejpam-4087	418	4	ahmed	ahmed	PROPN
ejpam-4087	418	5	a.	a.	PROPN
ejpam-4087	418	6	hamoud	hamoud	PROPN
ejpam-4087	418	7	,	,	PUNCT
ejpam-4087	418	8	and	and	CCONJ
ejpam-4087	418	9	kirtiwant	kirtiwant	PROPN
ejpam-4087	418	10	p.	p.	PROPN
ejpam-4087	418	11	ghadle	ghadle	PROPN
ejpam-4087	418	12	.	.	PUNCT
ejpam-4087	419	1	modified	modify	VERB
ejpam-4087	419	2	adomian	adomian	NOUN
ejpam-4087	419	3	decomposition	decomposition	NOUN
ejpam-4087	419	4	method	method	NOUN
ejpam-4087	419	5	for	for	ADP
ejpam-4087	419	6	solving	solve	VERB
ejpam-4087	419	7	fuzzy	fuzzy	ADJ
ejpam-4087	419	8	volterra	volterra	NOUN
ejpam-4087	419	9	-	-	PUNCT
ejpam-4087	419	10	fredholm	fredholm	NOUN
ejpam-4087	419	11	integral	integral	ADJ
ejpam-4087	419	12	equation	equation	NOUN
ejpam-4087	419	13	.	.	PUNCT
ejpam-4087	420	1	the	the	DET
ejpam-4087	420	2	journal	journal	NOUN
ejpam-4087	420	3	of	of	ADP
ejpam-4087	420	4	the	the	DET
ejpam-4087	420	5	indian	indian	PROPN
ejpam-4087	420	6	mathematical	mathematical	ADJ
ejpam-4087	420	7	society	society	NOUN
ejpam-4087	420	8	,	,	PUNCT
ejpam-4087	420	9	85(1–2):53–69	85(1–2):53–69	NUM
ejpam-4087	420	10	,	,	PUNCT
ejpam-4087	420	11	2018	2018	NUM
ejpam-4087	420	12	.	.	PUNCT
ejpam-4087	421	1	[	[	X
ejpam-4087	421	2	8	8	NUM
ejpam-4087	421	3	]	]	X
ejpam-4087	421	4	ahmed	ahmed	PROPN
ejpam-4087	421	5	a.	a.	PROPN
ejpam-4087	421	6	hamoud	hamoud	PROPN
ejpam-4087	421	7	,	,	PUNCT
ejpam-4087	421	8	ali	ali	PROPN
ejpam-4087	421	9	dhurgham	dhurgham	PROPN
ejpam-4087	421	10	azeez	azeez	PROPN
ejpam-4087	421	11	,	,	PUNCT
ejpam-4087	421	12	and	and	CCONJ
ejpam-4087	421	13	kirtiwant	kirtiwant	PROPN
ejpam-4087	421	14	p.	p.	PROPN
ejpam-4087	421	15	ghadle	ghadle	NOUN
ejpam-4087	421	16	.	.	PUNCT
ejpam-4087	422	1	a	a	DET
ejpam-4087	422	2	study	study	NOUN
ejpam-4087	422	3	of	of	ADP
ejpam-4087	422	4	some	some	DET
ejpam-4087	422	5	iterative	iterative	NOUN
ejpam-4087	422	6	methods	method	NOUN
ejpam-4087	422	7	for	for	ADP
ejpam-4087	422	8	solving	solve	VERB
ejpam-4087	422	9	fuzzy	fuzzy	ADJ
ejpam-4087	422	10	volterra	volterra	NOUN
ejpam-4087	422	11	-	-	PUNCT
ejpam-4087	422	12	fredholm	fredholm	NOUN
ejpam-4087	422	13	integral	integral	ADJ
ejpam-4087	422	14	equations	equation	NOUN
ejpam-4087	422	15	.	.	PUNCT
ejpam-4087	423	1	indonesian	indonesian	ADJ
ejpam-4087	423	2	journal	journal	PROPN
ejpam-4087	423	3	of	of	ADP
ejpam-4087	423	4	electrical	electrical	ADJ
ejpam-4087	423	5	engineering	engineering	NOUN
ejpam-4087	423	6	and	and	CCONJ
ejpam-4087	423	7	computer	computer	NOUN
ejpam-4087	423	8	science	science	NOUN
ejpam-4087	423	9	11(3):1228–1235	11(3):1228–1235	NUM
ejpam-4087	423	10	,	,	PUNCT
ejpam-4087	423	11	2018	2018	NUM
ejpam-4087	423	12	.	.	PUNCT
ejpam-4087	424	1	[	[	X
ejpam-4087	424	2	9	9	NUM
ejpam-4087	424	3	]	]	X
ejpam-4087	424	4	ahmed	ahmed	PROPN
ejpam-4087	424	5	a.	a.	PROPN
ejpam-4087	424	6	hamoud	hamoud	PROPN
ejpam-4087	424	7	,	,	PUNCT
ejpam-4087	424	8	and	and	CCONJ
ejpam-4087	424	9	kirtiwant	kirtiwant	PROPN
ejpam-4087	424	10	p.	p.	PROPN
ejpam-4087	424	11	ghadle	ghadle	PROPN
ejpam-4087	424	12	.	.	PUNCT
ejpam-4087	425	1	homotopy	homotopy	VERB
ejpam-4087	425	2	analysis	analysis	NOUN
ejpam-4087	425	3	method	method	NOUN
ejpam-4087	425	4	for	for	ADP
ejpam-4087	425	5	the	the	DET
ejpam-4087	425	6	first	first	ADJ
ejpam-4087	425	7	order	order	NOUN
ejpam-4087	425	8	fuzzy	fuzzy	ADJ
ejpam-4087	425	9	volterra	volterra	NOUN
ejpam-4087	425	10	-	-	PUNCT
ejpam-4087	425	11	fredholm	fredholm	NOUN
ejpam-4087	425	12	integro	integro	ADJ
ejpam-4087	425	13	-	-	PUNCT
ejpam-4087	425	14	differential	differential	NOUN
ejpam-4087	425	15	equations	equation	NOUN
ejpam-4087	425	16	.	.	PUNCT
ejpam-4087	426	1	indonesian	indonesian	ADJ
ejpam-4087	426	2	journal	journal	PROPN
ejpam-4087	426	3	of	of	ADP
ejpam-4087	426	4	electrical	electrical	ADJ
ejpam-4087	426	5	engineering	engineering	NOUN
ejpam-4087	426	6	and	and	CCONJ
ejpam-4087	426	7	computer	computer	NOUN
ejpam-4087	426	8	science	science	NOUN
ejpam-4087	426	9	,	,	PUNCT
ejpam-4087	426	10	11(3):857–867	11(3):857–867	PROPN
ejpam-4087	426	11	,	,	PUNCT
ejpam-4087	426	12	2018	2018	NUM
ejpam-4087	426	13	.	.	PUNCT
ejpam-4087	427	1	[	[	X
ejpam-4087	427	2	10	10	NUM
ejpam-4087	427	3	]	]	X
ejpam-4087	427	4	m.b	m.b	PROPN
ejpam-4087	427	5	.	.	PROPN
ejpam-4087	427	6	issa	issa	PROPN
ejpam-4087	427	7	,	,	PUNCT
ejpam-4087	427	8	a.	a.	NOUN
ejpam-4087	427	9	hamoud	hamoud	NOUN
ejpam-4087	427	10	,	,	PUNCT
ejpam-4087	427	11	a.	a.	PROPN
ejpam-4087	427	12	sharif	sharif	PROPN
ejpam-4087	427	13	,	,	PUNCT
ejpam-4087	427	14	k.	k.	PROPN
ejpam-4087	427	15	ghadle	ghadle	PROPN
ejpam-4087	427	16	,	,	PUNCT
ejpam-4087	427	17	and	and	CCONJ
ejpam-4087	427	18	g.	g.	PROPN
ejpam-4087	427	19	giniswamy	giniswamy	PROPN
ejpam-4087	427	20	.	.	PUNCT
ejpam-4087	428	1	modified	modify	VERB
ejpam-4087	428	2	adomian	adomian	NOUN
ejpam-4087	428	3	decomposition	decomposition	NOUN
ejpam-4087	428	4	method	method	NOUN
ejpam-4087	428	5	for	for	ADP
ejpam-4087	428	6	solving	solve	VERB
ejpam-4087	428	7	fuzzy	fuzzy	ADJ
ejpam-4087	428	8	integro	integro	ADJ
ejpam-4087	428	9	-	-	PUNCT
ejpam-4087	428	10	differential	differential	NOUN
ejpam-4087	428	11	equations	equation	NOUN
ejpam-4087	428	12	.	.	PUNCT
ejpam-4087	429	1	canadian	canadian	ADJ
ejpam-4087	429	2	journal	journal	PROPN
ejpam-4087	429	3	of	of	ADP
ejpam-4087	429	4	applied	apply	VERB
ejpam-4087	429	5	mathematics	mathematic	NOUN
ejpam-4087	429	6	,	,	PUNCT
ejpam-4087	429	7	3(1):37–45	3(1):37–45	NUM
ejpam-4087	429	8	,	,	PUNCT
ejpam-4087	429	9	2021	2021	NUM
ejpam-4087	429	10	.	.	PUNCT
ejpam-4087	430	1	[	[	X
ejpam-4087	430	2	11	11	NUM
ejpam-4087	430	3	]	]	X
ejpam-4087	430	4	abdul	abdul	PROPN
ejpam-4087	430	5	-	-	PUNCT
ejpam-4087	430	6	majid	majid	PROPN
ejpam-4087	430	7	wazwaz	wazwaz	NOUN
ejpam-4087	430	8	.	.	PUNCT
ejpam-4087	431	1	a	a	DET
ejpam-4087	431	2	reliable	reliable	ADJ
ejpam-4087	431	3	modification	modification	NOUN
ejpam-4087	431	4	of	of	ADP
ejpam-4087	431	5	adomian	adomian	ADJ
ejpam-4087	431	6	decomposition	decomposition	NOUN
ejpam-4087	431	7	method	method	NOUN
ejpam-4087	431	8	.	.	PUNCT
ejpam-4087	432	1	applied	apply	VERB
ejpam-4087	432	2	mathematics	mathematic	NOUN
ejpam-4087	432	3	and	and	CCONJ
ejpam-4087	432	4	computation	computation	NOUN
ejpam-4087	432	5	,	,	PUNCT
ejpam-4087	432	6	102(1):77–86	102(1):77–86	NUM
ejpam-4087	432	7	,	,	PUNCT
ejpam-4087	432	8	1999	1999	NUM
ejpam-4087	432	9	.	.	PUNCT
ejpam-4087	433	1	[	[	X
ejpam-4087	433	2	12	12	NUM
ejpam-4087	433	3	]	]	PUNCT
ejpam-4087	433	4	aytac	aytac	PROPN
ejpam-4087	433	5	arikoglu	arikoglu	NOUN
ejpam-4087	433	6	,	,	PUNCT
ejpam-4087	433	7	and	and	CCONJ
ejpam-4087	433	8	ibrahim	ibrahim	PROPN
ejpam-4087	433	9	ozkol	ozkol	PROPN
ejpam-4087	433	10	.	.	PUNCT
ejpam-4087	434	1	solutions	solution	NOUN
ejpam-4087	434	2	of	of	ADP
ejpam-4087	434	3	integral	integral	ADJ
ejpam-4087	434	4	and	and	CCONJ
ejpam-4087	434	5	integro	integro	ADJ
ejpam-4087	434	6	-	-	PUNCT
ejpam-4087	434	7	differential	differential	NOUN
ejpam-4087	434	8	equation	equation	NOUN
ejpam-4087	434	9	systems	system	NOUN
ejpam-4087	434	10	by	by	ADP
ejpam-4087	434	11	using	use	VERB
ejpam-4087	434	12	differential	differential	ADJ
ejpam-4087	434	13	transform	transform	NOUN
ejpam-4087	434	14	method	method	NOUN
ejpam-4087	434	15	.	.	PUNCT
ejpam-4087	435	1	computers	computer	NOUN
ejpam-4087	435	2	and	and	CCONJ
ejpam-4087	435	3	mathematics	mathematic	NOUN
ejpam-4087	435	4	with	with	ADP
ejpam-4087	435	5	applications	application	NOUN
ejpam-4087	435	6	,	,	PUNCT
ejpam-4087	435	7	56(9):2411–2417	56(9):2411–2417	NUM
ejpam-4087	435	8	,	,	PUNCT
ejpam-4087	435	9	2008	2008	NUM
ejpam-4087	435	10	.	.	PUNCT
ejpam-4087	436	1	[	[	X
ejpam-4087	436	2	13	13	NUM
ejpam-4087	436	3	]	]	PUNCT
ejpam-4087	436	4	ahmed	ahmed	PROPN
ejpam-4087	436	5	a.	a.	PROPN
ejpam-4087	436	6	hamoud	hamoud	PROPN
ejpam-4087	436	7	,	,	PUNCT
ejpam-4087	436	8	and	and	CCONJ
ejpam-4087	436	9	kirtiwant	kirtiwant	PROPN
ejpam-4087	436	10	p.	p.	PROPN
ejpam-4087	436	11	ghadle	ghadle	PROPN
ejpam-4087	436	12	.	.	PUNCT
ejpam-4087	437	1	modified	modify	VERB
ejpam-4087	437	2	laplace	laplace	NOUN
ejpam-4087	437	3	decomposition	decomposition	NOUN
ejpam-4087	437	4	method	method	NOUN
ejpam-4087	437	5	for	for	ADP
ejpam-4087	437	6	fractional	fractional	ADJ
ejpam-4087	437	7	volterra	volterra	NOUN
ejpam-4087	437	8	-	-	PUNCT
ejpam-4087	437	9	fredholm	fredholm	NOUN
ejpam-4087	437	10	integro	integro	ADJ
ejpam-4087	437	11	-	-	PUNCT
ejpam-4087	437	12	differential	differential	NOUN
ejpam-4087	437	13	equations	equation	NOUN
ejpam-4087	437	14	.	.	PUNCT
ejpam-4087	438	1	journal	journal	PROPN
ejpam-4087	438	2	of	of	ADP
ejpam-4087	438	3	mathematical	mathematical	ADJ
ejpam-4087	438	4	modeling	modeling	NOUN
ejpam-4087	438	5	6(1):91–104	6(1):91–104	PROPN
ejpam-4087	438	6	,	,	PUNCT
ejpam-4087	438	7	2018	2018	NUM
ejpam-4087	438	8	.	.	PUNCT
ejpam-4087	439	1	[	[	X
ejpam-4087	439	2	14	14	NUM
ejpam-4087	439	3	]	]	X
ejpam-4087	439	4	lamiaa	lamiaa	NOUN
ejpam-4087	439	5	h.	h.	PROPN
ejpam-4087	439	6	al	al	PROPN
ejpam-4087	439	7	-	-	PUNCT
ejpam-4087	439	8	taee	taee	PROPN
ejpam-4087	439	9	,	,	PUNCT
ejpam-4087	439	10	and	and	CCONJ
ejpam-4087	439	11	waleed	waleed	PROPN
ejpam-4087	439	12	al	al	PROPN
ejpam-4087	439	13	-	-	PUNCT
ejpam-4087	439	14	hayani	hayani	PROPN
ejpam-4087	439	15	.	.	PUNCT
ejpam-4087	440	1	solving	solve	VERB
ejpam-4087	440	2	systems	system	NOUN
ejpam-4087	440	3	of	of	ADP
ejpam-4087	440	4	non	non	ADJ
ejpam-4087	440	5	-	-	ADJ
ejpam-4087	440	6	linear	linear	ADJ
ejpam-4087	440	7	volterra	volterra	NOUN
ejpam-4087	440	8	integral	integral	ADJ
ejpam-4087	440	9	equations	equation	NOUN
ejpam-4087	440	10	by	by	ADP
ejpam-4087	440	11	combined	combine	VERB
ejpam-4087	440	12	sumudu	sumudu	NOUN
ejpam-4087	440	13	transform	transform	NOUN
ejpam-4087	440	14	-	-	PUNCT
ejpam-4087	440	15	adomian	adomian	NOUN
ejpam-4087	440	16	decomposition	decomposition	NOUN
ejpam-4087	440	17	method	method	NOUN
ejpam-4087	440	18	.	.	PUNCT
ejpam-4087	441	1	iraqi	iraqi	ADJ
ejpam-4087	441	2	journal	journal	PROPN
ejpam-4087	441	3	of	of	ADP
ejpam-4087	441	4	science	science	NOUN
ejpam-4087	441	5	,	,	PUNCT
ejpam-4087	441	6	62(1):252–268	62(1):252–268	NOUN
ejpam-4087	441	7	,	,	PUNCT
ejpam-4087	441	8	2021	2021	NUM
ejpam-4087	441	9	.	.	PUNCT
ejpam-4087	442	1	[	[	X
ejpam-4087	442	2	15	15	NUM
ejpam-4087	442	3	]	]	X
ejpam-4087	442	4	dalal	dalal	PROPN
ejpam-4087	442	5	adnan	adnan	PROPN
ejpam-4087	442	6	maturi	maturi	PROPN
ejpam-4087	442	7	,	,	PUNCT
ejpam-4087	442	8	and	and	CCONJ
ejpam-4087	442	9	eman	eman	PROPN
ejpam-4087	442	10	ahmed	ahmed	PROPN
ejpam-4087	442	11	m.	m.	PROPN
ejpam-4087	442	12	simbawa	simbawa	PROPN
ejpam-4087	442	13	.	.	PUNCT
ejpam-4087	443	1	the	the	DET
ejpam-4087	443	2	modified	modify	VERB
ejpam-4087	443	3	decomposition	decomposition	NOUN
ejpam-4087	443	4	method	method	NOUN
ejpam-4087	443	5	for	for	ADP
ejpam-4087	443	6	solving	solve	VERB
ejpam-4087	443	7	volterra	volterra	PROPN
ejpam-4087	443	8	fredholm	fredholm	PROPN
ejpam-4087	443	9	integro	integro	ADJ
ejpam-4087	443	10	-	-	PUNCT
ejpam-4087	443	11	differential	differential	NOUN
ejpam-4087	443	12	equations	equation	NOUN
ejpam-4087	443	13	using	use	VERB
ejpam-4087	443	14	maple	maple	NOUN
ejpam-4087	443	15	.	.	PUNCT
ejpam-4087	444	1	international	international	ADJ
ejpam-4087	444	2	journal	journal	PROPN
ejpam-4087	444	3	of	of	ADP
ejpam-4087	444	4	geomate	geomate	NOUN
ejpam-4087	444	5	,	,	PUNCT
ejpam-4087	444	6	18(67):84–89	18(67):84–89	NUM
ejpam-4087	444	7	,	,	PUNCT
ejpam-4087	444	8	2020	2020	NUM
ejpam-4087	444	9	.	.	PUNCT
ejpam-4087	445	1	[	[	X
ejpam-4087	445	2	16	16	NUM
ejpam-4087	445	3	]	]	X
ejpam-4087	445	4	hassan	hassan	PROPN
ejpam-4087	445	5	ibrahim	ibrahim	PROPN
ejpam-4087	445	6	,	,	PUNCT
ejpam-4087	445	7	and	and	CCONJ
ejpam-4087	445	8	peter	peter	PROPN
ejpam-4087	445	9	vanenchii	vanenchii	PROPN
ejpam-4087	445	10	ayoo	ayoo	PROPN
ejpam-4087	445	11	.	.	PUNCT
ejpam-4087	446	1	approximation	approximation	NOUN
ejpam-4087	446	2	of	of	ADP
ejpam-4087	446	3	systems	system	NOUN
ejpam-4087	446	4	of	of	ADP
ejpam-4087	446	5	volterra	volterra	PROPN
ejpam-4087	446	6	integro	integro	PROPN
ejpam-4087	446	7	-	-	PUNCT
ejpam-4087	446	8	differential	differential	NOUN
ejpam-4087	446	9	equations	equation	NOUN
ejpam-4087	446	10	using	use	VERB
ejpam-4087	446	11	the	the	DET
ejpam-4087	446	12	new	new	ADJ
ejpam-4087	446	13	iterative	iterative	NOUN
ejpam-4087	446	14	method	method	NOUN
ejpam-4087	446	15	.	.	PUNCT
ejpam-4087	447	1	international	international	ADJ
ejpam-4087	447	2	journal	journal	PROPN
ejpam-4087	447	3	of	of	ADP
ejpam-4087	447	4	science	science	NOUN
ejpam-4087	447	5	and	and	CCONJ
ejpam-4087	447	6	research	research	NOUN
ejpam-4087	447	7	,	,	PUNCT
ejpam-4087	447	8	4(5):332–336	4(5):332–336	NOUN
ejpam-4087	447	9	,	,	PUNCT
ejpam-4087	447	10	2015	2015	NUM
ejpam-4087	447	11	.	.	PUNCT
ejpam-4087	448	1	[	[	X
ejpam-4087	448	2	17	17	NUM
ejpam-4087	448	3	]	]	PUNCT
ejpam-4087	448	4	m.	m.	PROPN
ejpam-4087	448	5	i.	i.	PROPN
ejpam-4087	448	6	berenguer	berenguer	PROPN
ejpam-4087	448	7	,	,	PUNCT
ejpam-4087	448	8	d.	d.	PROPN
ejpam-4087	448	9	gáme	gáme	PROPN
ejpam-4087	448	10	,	,	PUNCT
ejpam-4087	448	11	and	and	CCONJ
ejpam-4087	448	12	a.j	a.j	PROPN
ejpam-4087	448	13	.	.	PROPN
ejpam-4087	448	14	lópez	lópez	ADJ
ejpam-4087	448	15	linares	linare	NOUN
ejpam-4087	448	16	.	.	PUNCT
ejpam-4087	449	1	solution	solution	NOUN
ejpam-4087	449	2	of	of	ADP
ejpam-4087	449	3	systems	system	NOUN
ejpam-4087	449	4	of	of	ADP
ejpam-4087	449	5	integrodifferential	integrodifferential	ADJ
ejpam-4087	449	6	equations	equation	NOUN
ejpam-4087	449	7	using	use	VERB
ejpam-4087	449	8	numerical	numerical	ADJ
ejpam-4087	449	9	treatment	treatment	NOUN
ejpam-4087	449	10	of	of	ADP
ejpam-4087	449	11	fixed	fix	VERB
ejpam-4087	449	12	point	point	NOUN
ejpam-4087	449	13	.	.	PUNCT
ejpam-4087	450	1	journal	journal	NOUN
ejpam-4087	450	2	of	of	ADP
ejpam-4087	450	3	computational	computational	ADJ
ejpam-4087	450	4	and	and	CCONJ
ejpam-4087	450	5	applied	applied	ADJ
ejpam-4087	450	6	mathematics	mathematic	NOUN
ejpam-4087	450	7	,	,	PUNCT
ejpam-4087	450	8	315(1):343–353	315(1):343–353	PROPN
ejpam-4087	450	9	,	,	PUNCT
ejpam-4087	450	10	2017	2017	NUM
ejpam-4087	450	11	.	.	PUNCT
ejpam-4087	451	1	references	reference	NOUN
ejpam-4087	451	2	312	312	NUM
ejpam-4087	451	3	[	[	X
ejpam-4087	451	4	18	18	NUM
ejpam-4087	451	5	]	]	X
ejpam-4087	451	6	jafar	jafar	PROPN
ejpam-4087	451	7	biazar	biazar	PROPN
ejpam-4087	451	8	,	,	PUNCT
ejpam-4087	451	9	and	and	CCONJ
ejpam-4087	451	10	hossein	hossein	PROPN
ejpam-4087	451	11	aminikhah	aminikhah	PROPN
ejpam-4087	451	12	.	.	PUNCT
ejpam-4087	452	1	a	a	DET
ejpam-4087	452	2	new	new	ADJ
ejpam-4087	452	3	technique	technique	NOUN
ejpam-4087	452	4	for	for	ADP
ejpam-4087	452	5	solving	solve	VERB
ejpam-4087	452	6	nonlinear	nonlinear	ADJ
ejpam-4087	452	7	integraldifferential	integraldifferential	ADJ
ejpam-4087	452	8	equations	equation	NOUN
ejpam-4087	452	9	.	.	PUNCT
ejpam-4087	453	1	computers	computer	NOUN
ejpam-4087	453	2	and	and	CCONJ
ejpam-4087	453	3	mathematics	mathematic	NOUN
ejpam-4087	453	4	with	with	ADP
ejpam-4087	453	5	applications	application	NOUN
ejpam-4087	453	6	,	,	PUNCT
ejpam-4087	453	7	58:2084–2090	58:2084–2090	NUM
ejpam-4087	453	8	,	,	PUNCT
ejpam-4087	453	9	2009	2009	NUM
ejpam-4087	453	10	.	.	PUNCT
ejpam-4087	454	1	[	[	X
ejpam-4087	454	2	19	19	NUM
ejpam-4087	454	3	]	]	X
ejpam-4087	454	4	mohammed	mohammed	PROPN
ejpam-4087	454	5	s.	s.	PROPN
ejpam-4087	454	6	bani	bani	PROPN
ejpam-4087	454	7	issaa	issaa	PROPN
ejpam-4087	454	8	,	,	PUNCT
ejpam-4087	454	9	ahmed	ahmed	PROPN
ejpam-4087	454	10	a.	a.	NOUN
ejpam-4087	454	11	hamoud	hamoud	PROPN
ejpam-4087	454	12	,	,	PUNCT
ejpam-4087	454	13	and	and	CCONJ
ejpam-4087	454	14	kirtiwant	kirtiwant	PROPN
ejpam-4087	454	15	p.	p.	PROPN
ejpam-4087	454	16	ghadle	ghadle	PROPN
ejpam-4087	454	17	.	.	PUNCT
ejpam-4087	455	1	numerical	numerical	ADJ
ejpam-4087	455	2	solutions	solution	NOUN
ejpam-4087	455	3	of	of	ADP
ejpam-4087	455	4	fuzzy	fuzzy	ADJ
ejpam-4087	455	5	integro	integro	ADJ
ejpam-4087	455	6	-	-	PUNCT
ejpam-4087	455	7	differential	differential	NOUN
ejpam-4087	455	8	equations	equation	NOUN
ejpam-4087	455	9	of	of	ADP
ejpam-4087	455	10	the	the	DET
ejpam-4087	455	11	second	second	ADJ
ejpam-4087	455	12	kind	kind	NOUN
ejpam-4087	455	13	.	.	PUNCT
ejpam-4087	456	1	journal	journal	NOUN
ejpam-4087	456	2	of	of	ADP
ejpam-4087	456	3	mathematics	mathematic	NOUN
ejpam-4087	456	4	and	and	CCONJ
ejpam-4087	456	5	computer	computer	NOUN
ejpam-4087	456	6	science	science	NOUN
ejpam-4087	456	7	,	,	PUNCT
ejpam-4087	456	8	23(2):67–74	23(2):67–74	NUM
ejpam-4087	456	9	,	,	PUNCT
ejpam-4087	456	10	2020	2020	NUM
ejpam-4087	456	11	.	.	PUNCT
ejpam-4087	457	1	[	[	X
ejpam-4087	457	2	20	20	NUM
ejpam-4087	457	3	]	]	PUNCT
ejpam-4087	457	4	r.	r.	PROPN
ejpam-4087	457	5	mastani	mastani	PROPN
ejpam-4087	457	6	shabestari	shabestari	PROPN
ejpam-4087	457	7	,	,	PUNCT
ejpam-4087	457	8	r.	r.	PROPN
ejpam-4087	457	9	ezzati	ezzati	PROPN
ejpam-4087	457	10	,	,	PUNCT
ejpam-4087	457	11	and	and	CCONJ
ejpam-4087	457	12	t.	t.	PROPN
ejpam-4087	457	13	allahviranloo	allahviranloo	NOUN
ejpam-4087	457	14	.	.	PUNCT
ejpam-4087	458	1	solving	solve	VERB
ejpam-4087	458	2	fuzzy	fuzzy	ADJ
ejpam-4087	458	3	volterra	volterra	PROPN
ejpam-4087	458	4	integro	integro	PROPN
ejpam-4087	458	5	-	-	PUNCT
ejpam-4087	458	6	differential	differential	NOUN
ejpam-4087	458	7	equations	equation	NOUN
ejpam-4087	458	8	of	of	ADP
ejpam-4087	458	9	fractional	fractional	ADJ
ejpam-4087	458	10	order	order	NOUN
ejpam-4087	458	11	by	by	ADP
ejpam-4087	458	12	bernoulli	bernoulli	PROPN
ejpam-4087	458	13	wavelet	wavelet	NOUN
ejpam-4087	458	14	method	method	PROPN
ejpam-4087	458	15	.	.	PUNCT
ejpam-4087	459	1	advances	advance	NOUN
ejpam-4087	459	2	in	in	ADP
ejpam-4087	459	3	fuzzy	fuzzy	ADJ
ejpam-4087	459	4	systems	system	NOUN
ejpam-4087	459	5	,	,	PUNCT
ejpam-4087	459	6	2018:1–11	2018:1–11	NUM
ejpam-4087	459	7	,	,	PUNCT
ejpam-4087	459	8	2018	2018	NUM
ejpam-4087	459	9	.	.	PUNCT
ejpam-4087	460	1	[	[	X
ejpam-4087	460	2	21	21	NUM
ejpam-4087	460	3	]	]	X
ejpam-4087	460	4	manmohan	manmohan	PROPN
ejpam-4087	460	5	das	das	PROPN
ejpam-4087	460	6	,	,	PUNCT
ejpam-4087	460	7	and	and	CCONJ
ejpam-4087	460	8	dhanjit	dhanjit	ADJ
ejpam-4087	460	9	talukdar	talukdar	NOUN
ejpam-4087	460	10	.	.	PUNCT
ejpam-4087	461	1	method	method	NOUN
ejpam-4087	461	2	for	for	ADP
ejpam-4087	461	3	solving	solve	VERB
ejpam-4087	461	4	fuzzy	fuzzy	ADJ
ejpam-4087	461	5	integro	integro	ADJ
ejpam-4087	461	6	-	-	PUNCT
ejpam-4087	461	7	differential	differential	NOUN
ejpam-4087	461	8	equation	equation	NOUN
ejpam-4087	461	9	by	by	ADP
ejpam-4087	461	10	using	use	VERB
ejpam-4087	461	11	fuzzy	fuzzy	ADJ
ejpam-4087	461	12	laplace	laplace	NOUN
ejpam-4087	461	13	transformation	transformation	NOUN
ejpam-4087	461	14	.	.	PUNCT
ejpam-4087	462	1	international	international	ADJ
ejpam-4087	462	2	journal	journal	PROPN
ejpam-4087	462	3	of	of	ADP
ejpam-4087	462	4	scientific	scientific	PROPN
ejpam-4087	462	5	&	&	CCONJ
ejpam-4087	462	6	technology	technology	PROPN
ejpam-4087	462	7	research	research	NOUN
ejpam-4087	462	8	,	,	PUNCT
ejpam-4087	462	9	3(5):291–295	3(5):291–295	NUM
ejpam-4087	462	10	,	,	PUNCT
ejpam-4087	462	11	2014	2014	NUM
ejpam-4087	462	12	.	.	PUNCT
ejpam-4087	463	1	[	[	X
ejpam-4087	463	2	22	22	NUM
ejpam-4087	463	3	]	]	X
ejpam-4087	463	4	nasser	nasser	PROPN
ejpam-4087	463	5	mikaeilvand	mikaeilvand	PROPN
ejpam-4087	463	6	,	,	PUNCT
ejpam-4087	463	7	sakineh	sakineh	PROPN
ejpam-4087	463	8	khakrangin	khakrangin	PROPN
ejpam-4087	463	9	,	,	PUNCT
ejpam-4087	463	10	and	and	CCONJ
ejpam-4087	463	11	tofigh	tofigh	ADJ
ejpam-4087	463	12	allahviranloo	allahviranloo	NOUN
ejpam-4087	463	13	.	.	PUNCT
ejpam-4087	464	1	solving	solve	VERB
ejpam-4087	464	2	fuzzy	fuzzy	ADJ
ejpam-4087	464	3	volterra	volterra	PROPN
ejpam-4087	464	4	integro	integro	PROPN
ejpam-4087	464	5	-	-	PUNCT
ejpam-4087	464	6	differentiale	differentiale	NOUN
ejpam-4087	464	7	quation	quation	NOUN
ejpam-4087	464	8	by	by	ADP
ejpam-4087	464	9	fuzzy	fuzzy	ADJ
ejpam-4087	464	10	differential	differential	ADJ
ejpam-4087	464	11	transform	transform	NOUN
ejpam-4087	464	12	method	method	NOUN
ejpam-4087	464	13	.	.	PUNCT
ejpam-4087	465	1	proceedings	proceeding	NOUN
ejpam-4087	465	2	of	of	ADP
ejpam-4087	465	3	the	the	DET
ejpam-4087	465	4	7th	7th	ADJ
ejpam-4087	465	5	conference	conference	NOUN
ejpam-4087	465	6	of	of	ADP
ejpam-4087	465	7	the	the	DET
ejpam-4087	465	8	european	european	ADJ
ejpam-4087	465	9	society	society	NOUN
ejpam-4087	465	10	for	for	ADP
ejpam-4087	465	11	fuzzy	fuzzy	ADJ
ejpam-4087	465	12	logic	logic	NOUN
ejpam-4087	465	13	and	and	CCONJ
ejpam-4087	465	14	technology	technology	NOUN
ejpam-4087	465	15	(	(	PUNCT
ejpam-4087	465	16	eusflat-11	eusflat-11	PROPN
ejpam-4087	465	17	)	)	PUNCT
ejpam-4087	465	18	,	,	PUNCT
ejpam-4087	465	19	2011	2011	NUM
ejpam-4087	465	20	.	.	PUNCT
ejpam-4087	466	1	[	[	X
ejpam-4087	466	2	23	23	NUM
ejpam-4087	466	3	]	]	PUNCT
ejpam-4087	466	4	a.	a.	NOUN
ejpam-4087	466	5	j.	j.	PROPN
ejpam-4087	466	6	abdulqader	abdulqader	PROPN
ejpam-4087	466	7	.	.	PUNCT
ejpam-4087	467	1	numerical	numerical	ADJ
ejpam-4087	467	2	solution	solution	NOUN
ejpam-4087	467	3	for	for	ADP
ejpam-4087	467	4	solving	solve	VERB
ejpam-4087	467	5	system	system	NOUN
ejpam-4087	467	6	of	of	ADP
ejpam-4087	467	7	fuzzy	fuzzy	ADJ
ejpam-4087	467	8	nonlinear	nonlinear	ADJ
ejpam-4087	467	9	integral	integral	ADJ
ejpam-4087	467	10	equation	equation	NOUN
ejpam-4087	467	11	by	by	ADP
ejpam-4087	467	12	using	use	VERB
ejpam-4087	467	13	modified	modify	VERB
ejpam-4087	467	14	decomposition	decomposition	NOUN
ejpam-4087	467	15	method	method	NOUN
ejpam-4087	467	16	.	.	PUNCT
ejpam-4087	468	1	journal	journal	NOUN
ejpam-4087	468	2	of	of	ADP
ejpam-4087	468	3	mathematics	mathematics	PROPN
ejpam-4087	468	4	research	research	NOUN
ejpam-4087	468	5	,	,	PUNCT
ejpam-4087	468	6	10	10	NUM
ejpam-4087	468	7	(	(	PUNCT
ejpam-4087	468	8	1	1	NUM
ejpam-4087	468	9	):	):	PUNCT
ejpam-4087	468	10	32–43	32–43	NUM
ejpam-4087	468	11	,	,	PUNCT
ejpam-4087	468	12	2018	2018	NUM
ejpam-4087	468	13	.	.	PUNCT
ejpam-4087	469	1	[	[	X
ejpam-4087	469	2	24	24	NUM
ejpam-4087	469	3	]	]	SYM
ejpam-4087	469	4	mahdy	mahdy	NOUN
ejpam-4087	469	5	baghmisheh	baghmisheh	NOUN
ejpam-4087	469	6	,	,	PUNCT
ejpam-4087	469	7	and	and	CCONJ
ejpam-4087	469	8	reza	reza	PROPN
ejpam-4087	469	9	ezzati	ezzati	PROPN
ejpam-4087	469	10	.	.	PUNCT
ejpam-4087	470	1	numerical	numerical	ADJ
ejpam-4087	470	2	solution	solution	NOUN
ejpam-4087	470	3	of	of	ADP
ejpam-4087	470	4	nonlinear	nonlinear	ADJ
ejpam-4087	470	5	fuzzy	fuzzy	ADJ
ejpam-4087	470	6	fredholm	fredholm	ADJ
ejpam-4087	470	7	integral	integral	ADJ
ejpam-4087	470	8	equations	equation	NOUN
ejpam-4087	470	9	of	of	ADP
ejpam-4087	470	10	the	the	DET
ejpam-4087	470	11	second	second	ADJ
ejpam-4087	470	12	kind	kind	NOUN
ejpam-4087	470	13	using	use	VERB
ejpam-4087	470	14	hybrid	hybrid	NOUN
ejpam-4087	470	15	of	of	ADP
ejpam-4087	470	16	block	block	NOUN
ejpam-4087	470	17	-	-	PUNCT
ejpam-4087	470	18	pulse	pulse	NOUN
ejpam-4087	470	19	functions	function	NOUN
ejpam-4087	470	20	and	and	CCONJ
ejpam-4087	470	21	taylor	taylor	PROPN
ejpam-4087	470	22	series	series	PROPN
ejpam-4087	470	23	.	.	PUNCT
ejpam-4087	471	1	advances	advance	NOUN
ejpam-4087	471	2	in	in	ADP
ejpam-4087	471	3	difference	difference	NOUN
ejpam-4087	471	4	equations	equation	NOUN
ejpam-4087	471	5	,	,	PUNCT
ejpam-4087	471	6	2015(1):1–15	2015(1):1–15	NOUN
ejpam-4087	471	7	,	,	PUNCT
ejpam-4087	471	8	2015	2015	NUM
ejpam-4087	471	9	.	.	PUNCT
ejpam-4087	472	1	[	[	X
ejpam-4087	472	2	25	25	NUM
ejpam-4087	472	3	]	]	X
ejpam-4087	472	4	jihan	jihan	PROPN
ejpam-4087	472	5	hamaydi	hamaydi	PROPN
ejpam-4087	472	6	,	,	PUNCT
ejpam-4087	472	7	and	and	CCONJ
ejpam-4087	472	8	naji	naji	PROPN
ejpam-4087	472	9	qatanani	qatanani	PROPN
ejpam-4087	472	10	.	.	PUNCT
ejpam-4087	473	1	computational	computational	ADJ
ejpam-4087	473	2	methods	method	NOUN
ejpam-4087	473	3	for	for	ADP
ejpam-4087	473	4	solving	solve	VERB
ejpam-4087	473	5	linear	linear	PROPN
ejpam-4087	473	6	fuzzy	fuzzy	ADJ
ejpam-4087	473	7	volterra	volterra	PROPN
ejpam-4087	473	8	integral	integral	ADJ
ejpam-4087	473	9	equation	equation	NOUN
ejpam-4087	473	10	.	.	PUNCT
ejpam-4087	474	1	journal	journal	PROPN
ejpam-4087	474	2	of	of	ADP
ejpam-4087	474	3	applied	apply	VERB
ejpam-4087	474	4	mathematics	mathematic	NOUN
ejpam-4087	474	5	,	,	PUNCT
ejpam-4087	474	6	2017:1–12	2017:1–12	NUM
ejpam-4087	474	7	,	,	PUNCT
ejpam-4087	474	8	2017	2017	NUM
ejpam-4087	474	9	.	.	PUNCT
ejpam-4087	475	1	[	[	X
ejpam-4087	475	2	26	26	NUM
ejpam-4087	475	3	]	]	PUNCT
ejpam-4087	475	4	a.	a.	NOUN
ejpam-4087	475	5	molabahrami	molabahrami	PROPN
ejpam-4087	475	6	,	,	PUNCT
ejpam-4087	475	7	a.	a.	PROPN
ejpam-4087	475	8	shidfar	shidfar	PROPN
ejpam-4087	475	9	,	,	PUNCT
ejpam-4087	475	10	and	and	CCONJ
ejpam-4087	475	11	a.	a.	NOUN
ejpam-4087	475	12	ghyasi	ghyasi	NOUN
ejpam-4087	475	13	.	.	PUNCT
ejpam-4087	476	1	an	an	DET
ejpam-4087	476	2	analytical	analytical	ADJ
ejpam-4087	476	3	method	method	NOUN
ejpam-4087	476	4	for	for	ADP
ejpam-4087	476	5	solving	solve	VERB
ejpam-4087	476	6	linear	linear	NOUN
ejpam-4087	476	7	fredholm	fredholm	NOUN
ejpam-4087	476	8	fuzzy	fuzzy	ADJ
ejpam-4087	476	9	integral	integral	ADJ
ejpam-4087	476	10	equations	equation	NOUN
ejpam-4087	476	11	of	of	ADP
ejpam-4087	476	12	the	the	DET
ejpam-4087	476	13	second	second	ADJ
ejpam-4087	476	14	kind	kind	NOUN
ejpam-4087	476	15	.	.	PUNCT
ejpam-4087	477	1	computers	computer	NOUN
ejpam-4087	477	2	and	and	CCONJ
ejpam-4087	477	3	mathematics	mathematic	NOUN
ejpam-4087	477	4	with	with	ADP
ejpam-4087	477	5	applications	application	NOUN
ejpam-4087	477	6	,	,	PUNCT
ejpam-4087	477	7	61(9):2754–2761	61(9):2754–2761	PROPN
ejpam-4087	477	8	,	,	PUNCT
ejpam-4087	477	9	2011	2011	NUM
ejpam-4087	477	10	.	.	PUNCT
ejpam-4087	478	1	[	[	X
ejpam-4087	478	2	27	27	NUM
ejpam-4087	478	3	]	]	PUNCT
ejpam-4087	478	4	m.	m.	PROPN
ejpam-4087	478	5	r.	r.	PROPN
ejpam-4087	478	6	nourizadeh	nourizadeh	PROPN
ejpam-4087	478	7	,	,	PUNCT
ejpam-4087	478	8	n.	n.	PROPN
ejpam-4087	478	9	mikaeilvand	mikaeilvand	PROPN
ejpam-4087	478	10	,	,	PUNCT
ejpam-4087	478	11	and	and	CCONJ
ejpam-4087	478	12	t.	t.	PROPN
ejpam-4087	478	13	allahviranloo	allahviranloo	NOUN
ejpam-4087	478	14	.	.	PUNCT
ejpam-4087	479	1	existence	existence	NOUN
ejpam-4087	479	2	and	and	CCONJ
ejpam-4087	479	3	uniqueness	uniqueness	ADJ
ejpam-4087	479	4	solutions	solution	NOUN
ejpam-4087	479	5	of	of	ADP
ejpam-4087	479	6	fuzzy	fuzzy	ADJ
ejpam-4087	479	7	integration	integration	NOUN
ejpam-4087	479	8	-	-	PUNCT
ejpam-4087	479	9	differential	differential	NOUN
ejpam-4087	479	10	mathematical	mathematical	ADJ
ejpam-4087	479	11	problem	problem	NOUN
ejpam-4087	479	12	by	by	ADP
ejpam-4087	479	13	using	use	VERB
ejpam-4087	479	14	the	the	DET
ejpam-4087	479	15	concept	concept	NOUN
ejpam-4087	479	16	of	of	ADP
ejpam-4087	479	17	generalized	generalized	ADJ
ejpam-4087	479	18	differentiability	differentiability	NOUN
ejpam-4087	479	19	.	.	PUNCT
ejpam-4087	480	1	aims	aim	VERB
ejpam-4087	480	2	mathematics	mathematics	PROPN
ejpam-4087	480	3	,	,	PUNCT
ejpam-4087	480	4	4(5):1430–1449	4(5):1430–1449	PROPN
ejpam-4087	480	5	,	,	PUNCT
ejpam-4087	480	6	2019	2019	NUM
ejpam-4087	480	7	.	.	PUNCT
ejpam-4087	481	1	[	[	X
ejpam-4087	481	2	28	28	NUM
ejpam-4087	481	3	]	]	X
ejpam-4087	481	4	nasser	nasser	PROPN
ejpam-4087	481	5	mikaeilvand	mikaeilvand	PROPN
ejpam-4087	481	6	,	,	PUNCT
ejpam-4087	481	7	zahra	zahra	PROPN
ejpam-4087	481	8	noeiaghdam	noeiaghdam	PROPN
ejpam-4087	481	9	,	,	PUNCT
ejpam-4087	481	10	samad	samad	PROPN
ejpam-4087	481	11	noeiaghdam	noeiaghdam	PROPN
ejpam-4087	481	12	,	,	PUNCT
ejpam-4087	481	13	and	and	CCONJ
ejpam-4087	481	14	juan	juan	PROPN
ejpam-4087	481	15	j.	j.	PROPN
ejpam-4087	481	16	nieto	nieto	PROPN
ejpam-4087	481	17	.	.	PUNCT
ejpam-4087	482	1	a	a	DET
ejpam-4087	482	2	novel	novel	ADJ
ejpam-4087	482	3	technique	technique	NOUN
ejpam-4087	482	4	to	to	PART
ejpam-4087	482	5	solve	solve	VERB
ejpam-4087	482	6	the	the	DET
ejpam-4087	482	7	fuzzy	fuzzy	ADJ
ejpam-4087	482	8	system	system	NOUN
ejpam-4087	482	9	of	of	ADP
ejpam-4087	482	10	equations	equation	NOUN
ejpam-4087	482	11	,	,	PUNCT
ejpam-4087	482	12	mathematics	mathematic	NOUN
ejpam-4087	482	13	,	,	PUNCT
ejpam-4087	482	14	8(5):850	8(5):850	NUM
ejpam-4087	482	15	,	,	PUNCT
ejpam-4087	482	16	2020	2020	NUM
ejpam-4087	482	17	.	.	PUNCT
ejpam-4087	483	1	[	[	X
ejpam-4087	483	2	29	29	NUM
ejpam-4087	483	3	]	]	X
ejpam-4087	483	4	atiyeh	atiyeh	ADJ
ejpam-4087	483	5	mashhadi	mashhadi	PROPN
ejpam-4087	483	6	gholam	gholam	PROPN
ejpam-4087	483	7	,	,	PUNCT
ejpam-4087	483	8	and	and	CCONJ
ejpam-4087	483	9	reza	reza	PROPN
ejpam-4087	483	10	ezzati	ezzati	NOUN
ejpam-4087	483	11	.	.	PUNCT
ejpam-4087	484	1	solving	solve	VERB
ejpam-4087	484	2	linear	linear	ADJ
ejpam-4087	484	3	fuzzy	fuzzy	ADJ
ejpam-4087	484	4	fredholm	fredholm	NOUN
ejpam-4087	484	5	integral	integral	ADJ
ejpam-4087	484	6	equations	equation	NOUN
ejpam-4087	484	7	of	of	ADP
ejpam-4087	484	8	the	the	DET
ejpam-4087	484	9	second	second	ADJ
ejpam-4087	484	10	kind	kind	NOUN
ejpam-4087	484	11	via	via	ADP
ejpam-4087	484	12	iterative	iterative	NOUN
ejpam-4087	484	13	method	method	NOUN
ejpam-4087	484	14	and	and	CCONJ
ejpam-4087	484	15	simpson	simpson	NOUN
ejpam-4087	484	16	quadrature	quadrature	NOUN
ejpam-4087	484	17	rule	rule	NOUN
ejpam-4087	484	18	:	:	PUNCT
ejpam-4087	484	19	a	a	DET
ejpam-4087	484	20	review	review	NOUN
ejpam-4087	484	21	.	.	PUNCT
ejpam-4087	485	1	twms	twms	PROPN
ejpam-4087	485	2	journal	journal	PROPN
ejpam-4087	485	3	of	of	ADP
ejpam-4087	485	4	pure	pure	ADJ
ejpam-4087	485	5	and	and	CCONJ
ejpam-4087	485	6	applied	applied	ADJ
ejpam-4087	485	7	mathematics	mathematic	NOUN
ejpam-4087	485	8	,	,	PUNCT
ejpam-4087	485	9	8(2):121–147	8(2):121–147	NUM
ejpam-4087	485	10	,	,	PUNCT
ejpam-4087	485	11	2017	2017	NUM
ejpam-4087	485	12	.	.	PUNCT
ejpam-4087	486	1	references	reference	NOUN
ejpam-4087	486	2	313	313	NUM
ejpam-4087	486	3	[	[	SYM
ejpam-4087	486	4	30	30	NUM
ejpam-4087	486	5	]	]	X
ejpam-4087	486	6	abdul	abdul	PROPN
ejpam-4087	486	7	-	-	PUNCT
ejpam-4087	486	8	majid	majid	PROPN
ejpam-4087	486	9	wazwaz	wazwaz	NOUN
ejpam-4087	486	10	.	.	PUNCT
ejpam-4087	487	1	linear	linear	ADJ
ejpam-4087	487	2	and	and	CCONJ
ejpam-4087	487	3	nonlinear	nonlinear	ADJ
ejpam-4087	487	4	integral	integral	ADJ
ejpam-4087	487	5	equations	equation	NOUN
ejpam-4087	487	6	methods	method	NOUN
ejpam-4087	487	7	and	and	CCONJ
ejpam-4087	487	8	applications	application	NOUN
ejpam-4087	487	9	.	.	PUNCT
ejpam-4087	488	1	springer	springer	NOUN
ejpam-4087	488	2	,	,	PUNCT
ejpam-4087	488	3	higher	high	ADJ
ejpam-4087	488	4	education	education	NOUN
ejpam-4087	488	5	prees	pree	NOUN
ejpam-4087	488	6	,	,	PUNCT
ejpam-4087	488	7	2011	2011	NUM
ejpam-4087	488	8	.	.	PUNCT
ejpam-4087	489	1	[	[	X
ejpam-4087	489	2	31	31	NUM
ejpam-4087	489	3	]	]	X
ejpam-4087	489	4	hsien	hsien	PROPN
ejpam-4087	489	5	-	-	PUNCT
ejpam-4087	489	6	chung	chung	PROPN
ejpam-4087	489	7	wu	wu	PROPN
ejpam-4087	489	8	.	.	PUNCT
ejpam-4087	490	1	the	the	DET
ejpam-4087	490	2	fuzzy	fuzzy	ADJ
ejpam-4087	490	3	riemann	riemann	PROPN
ejpam-4087	490	4	integral	integral	ADJ
ejpam-4087	490	5	and	and	CCONJ
ejpam-4087	490	6	its	its	PRON
ejpam-4087	490	7	numerical	numerical	ADJ
ejpam-4087	490	8	integration	integration	NOUN
ejpam-4087	490	9	.	.	PUNCT
ejpam-4087	491	1	fuzzy	fuzzy	ADJ
ejpam-4087	491	2	sets	set	NOUN
ejpam-4087	491	3	and	and	CCONJ
ejpam-4087	491	4	systems	system	NOUN
ejpam-4087	491	5	,	,	PUNCT
ejpam-4087	491	6	110(1):1–25	110(1):1–25	NUM
ejpam-4087	491	7	,	,	PUNCT
ejpam-4087	491	8	2000	2000	NUM
ejpam-4087	491	9	.	.	PUNCT