id	sid	tid	token	lemma	pos
ejpam-4647	1	1	european	european	PROPN
ejpam-4647	1	2	journal	journal	PROPN
ejpam-4647	1	3	of	of	ADP
ejpam-4647	1	4	pure	pure	ADJ
ejpam-4647	1	5	and	and	CCONJ
ejpam-4647	1	6	applied	apply	VERB
ejpam-4647	1	7	mathematics	mathematic	NOUN
ejpam-4647	1	8	vol	vol	NOUN
ejpam-4647	1	9	.	.	PUNCT
ejpam-4647	2	1	16	16	NUM
ejpam-4647	2	2	,	,	PUNCT
ejpam-4647	2	3	no	no	INTJ
ejpam-4647	2	4	.	.	NOUN
ejpam-4647	2	5	1	1	NUM
ejpam-4647	2	6	,	,	PUNCT
ejpam-4647	2	7	2023	2023	NUM
ejpam-4647	2	8	,	,	PUNCT
ejpam-4647	2	9	304	304	NUM
ejpam-4647	2	10	-	-	SYM
ejpam-4647	2	11	313	313	NUM
ejpam-4647	2	12	issn	issn	PROPN
ejpam-4647	2	13	1307	1307	NUM
ejpam-4647	2	14	-	-	SYM
ejpam-4647	2	15	5543	5543	NUM
ejpam-4647	2	16	–	–	PUNCT
ejpam-4647	2	17	ejpam.com	ejpam.com	X
ejpam-4647	2	18	published	publish	VERB
ejpam-4647	2	19	by	by	ADP
ejpam-4647	2	20	new	new	PROPN
ejpam-4647	2	21	york	york	PROPN
ejpam-4647	2	22	business	business	PROPN
ejpam-4647	2	23	global	global	PROPN
ejpam-4647	2	24	mathematical	mathematical	ADJ
ejpam-4647	2	25	eigenfunctions	eigenfunction	NOUN
ejpam-4647	2	26	analysis	analysis	NOUN
ejpam-4647	2	27	for	for	ADP
ejpam-4647	2	28	2nd	2nd	ADJ
ejpam-4647	2	29	kind	kind	NOUN
ejpam-4647	2	30	of	of	ADV
ejpam-4647	2	31	fredholm	fredholm	ADJ
ejpam-4647	2	32	integral	integral	ADJ
ejpam-4647	2	33	equations	equation	NOUN
ejpam-4647	2	34	lamiaa	lamiaa	PROPN
ejpam-4647	2	35	hazim	hazim	PROPN
ejpam-4647	2	36	al	al	PROPN
ejpam-4647	2	37	-	-	PUNCT
ejpam-4647	2	38	taee1,∗	taee1,∗	NOUN
ejpam-4647	2	39	,	,	PUNCT
ejpam-4647	3	1	ahmed	ahmed	PROPN
ejpam-4647	3	2	a.	a.	PROPN
ejpam-4647	3	3	mohammed	mohammed	PROPN
ejpam-4647	3	4	fawze2	fawze2	PROPN
ejpam-4647	3	5	1	1	NUM
ejpam-4647	3	6	mathematics	mathematics	PROPN
ejpam-4647	3	7	department	department	NOUN
ejpam-4647	3	8	,	,	PUNCT
ejpam-4647	3	9	college	college	NOUN
ejpam-4647	3	10	of	of	ADP
ejpam-4647	3	11	education	education	NOUN
ejpam-4647	3	12	of	of	ADP
ejpam-4647	3	13	pure	pure	ADJ
ejpam-4647	3	14	sciences	science	NOUN
ejpam-4647	3	15	,	,	PUNCT
ejpam-4647	3	16	university	university	NOUN
ejpam-4647	3	17	of	of	ADP
ejpam-4647	3	18	mosul	mosul	PROPN
ejpam-4647	3	19	,	,	PUNCT
ejpam-4647	3	20	mosul	mosul	PROPN
ejpam-4647	3	21	,	,	PUNCT
ejpam-4647	3	22	iraq	iraq	PROPN
ejpam-4647	3	23	2	2	NUM
ejpam-4647	3	24	mathematics	mathematics	PROPN
ejpam-4647	3	25	department	department	NOUN
ejpam-4647	3	26	,	,	PUNCT
ejpam-4647	3	27	college	college	NOUN
ejpam-4647	3	28	of	of	ADP
ejpam-4647	3	29	computer	computer	NOUN
ejpam-4647	3	30	science	science	NOUN
ejpam-4647	3	31	and	and	CCONJ
ejpam-4647	3	32	mathematics	mathematic	NOUN
ejpam-4647	3	33	,	,	PUNCT
ejpam-4647	3	34	university	university	NOUN
ejpam-4647	3	35	of	of	ADP
ejpam-4647	3	36	mosul	mosul	PROPN
ejpam-4647	3	37	,	,	PUNCT
ejpam-4647	3	38	mosul	mosul	PROPN
ejpam-4647	3	39	,	,	PUNCT
ejpam-4647	3	40	iraq	iraq	PROPN
ejpam-4647	3	41	abstract	abstract	NOUN
ejpam-4647	3	42	.	.	PUNCT
ejpam-4647	4	1	the	the	DET
ejpam-4647	4	2	current	current	ADJ
ejpam-4647	4	3	paper	paper	NOUN
ejpam-4647	4	4	is	be	AUX
ejpam-4647	4	5	a	a	DET
ejpam-4647	4	6	trial	trial	NOUN
ejpam-4647	4	7	to	to	PART
ejpam-4647	4	8	investigate	investigate	VERB
ejpam-4647	4	9	the	the	DET
ejpam-4647	4	10	eigen	eigen	PROPN
ejpam-4647	4	11	functions	function	NOUN
ejpam-4647	4	12	appears	appear	VERB
ejpam-4647	4	13	through	through	ADP
ejpam-4647	4	14	mathematical	mathematical	ADJ
ejpam-4647	4	15	treatment	treatment	NOUN
ejpam-4647	4	16	of	of	ADP
ejpam-4647	4	17	2nd	2nd	ADJ
ejpam-4647	4	18	kind	kind	NOUN
ejpam-4647	4	19	of	of	ADV
ejpam-4647	4	20	fredholm	fredholm	VERB
ejpam-4647	4	21	integral	integral	ADJ
ejpam-4647	4	22	equations	equation	NOUN
ejpam-4647	4	23	by	by	ADP
ejpam-4647	4	24	making	make	VERB
ejpam-4647	4	25	use	use	VERB
ejpam-4647	4	26	a	a	DET
ejpam-4647	4	27	new	new	ADJ
ejpam-4647	4	28	developed	develop	VERB
ejpam-4647	4	29	an	an	DET
ejpam-4647	4	30	inverse	inverse	NOUN
ejpam-4647	4	31	iterative	iterative	NOUN
ejpam-4647	4	32	numerical	numerical	ADJ
ejpam-4647	4	33	scheme	scheme	NOUN
ejpam-4647	4	34	(	(	PUNCT
ejpam-4647	4	35	iins	iin	NOUN
ejpam-4647	4	36	)	)	PUNCT
ejpam-4647	4	37	.	.	PUNCT
ejpam-4647	5	1	to	to	PART
ejpam-4647	5	2	test	test	VERB
ejpam-4647	5	3	the	the	DET
ejpam-4647	5	4	applicability	applicability	NOUN
ejpam-4647	5	5	and	and	CCONJ
ejpam-4647	5	6	accuracy	accuracy	NOUN
ejpam-4647	5	7	of	of	ADP
ejpam-4647	5	8	the	the	DET
ejpam-4647	5	9	proposed	propose	VERB
ejpam-4647	5	10	iins	iin	NOUN
ejpam-4647	5	11	,	,	PUNCT
ejpam-4647	5	12	two	two	NUM
ejpam-4647	5	13	numerical	numerical	ADJ
ejpam-4647	5	14	examples	example	NOUN
ejpam-4647	5	15	were	be	AUX
ejpam-4647	5	16	solved	solve	VERB
ejpam-4647	5	17	and	and	CCONJ
ejpam-4647	5	18	compared	compare	VERB
ejpam-4647	5	19	with	with	ADP
ejpam-4647	5	20	previous	previous	ADJ
ejpam-4647	5	21	results	result	NOUN
ejpam-4647	5	22	.	.	PUNCT
ejpam-4647	6	1	the	the	DET
ejpam-4647	6	2	discussion	discussion	NOUN
ejpam-4647	6	3	of	of	ADP
ejpam-4647	6	4	the	the	DET
ejpam-4647	6	5	results	result	NOUN
ejpam-4647	6	6	gave	give	VERB
ejpam-4647	6	7	a	a	DET
ejpam-4647	6	8	good	good	ADJ
ejpam-4647	6	9	coincides	coincide	NOUN
ejpam-4647	6	10	up	up	ADP
ejpam-4647	6	11	to	to	ADP
ejpam-4647	6	12	some	some	DET
ejpam-4647	6	13	decimal	decimal	ADJ
ejpam-4647	6	14	places	place	NOUN
ejpam-4647	6	15	of	of	ADP
ejpam-4647	6	16	results	result	NOUN
ejpam-4647	6	17	with	with	ADP
ejpam-4647	6	18	the	the	DET
ejpam-4647	6	19	available	available	ADJ
ejpam-4647	6	20	ones	one	NOUN
ejpam-4647	6	21	.	.	PUNCT
ejpam-4647	7	1	2020	2020	NUM
ejpam-4647	7	2	mathematics	mathematic	NOUN
ejpam-4647	7	3	subject	subject	NOUN
ejpam-4647	7	4	classifications	classification	NOUN
ejpam-4647	7	5	:	:	PUNCT
ejpam-4647	7	6	45bxx	45bxx	NOUN
ejpam-4647	7	7	,	,	PUNCT
ejpam-4647	7	8	45b05	45b05	NUM
ejpam-4647	7	9	key	key	ADJ
ejpam-4647	7	10	words	word	NOUN
ejpam-4647	7	11	and	and	CCONJ
ejpam-4647	7	12	phrases	phrase	NOUN
ejpam-4647	7	13	:	:	PUNCT
ejpam-4647	7	14	fredholm	fredholm	VERB
ejpam-4647	7	15	integral	integral	ADJ
ejpam-4647	7	16	equations	equation	NOUN
ejpam-4647	7	17	,	,	PUNCT
ejpam-4647	7	18	eigen	eigen	PROPN
ejpam-4647	7	19	functions	function	NOUN
ejpam-4647	7	20	analysis	analysis	NOUN
ejpam-4647	7	21	,	,	PUNCT
ejpam-4647	7	22	iterative	iterative	NOUN
ejpam-4647	7	23	methods	method	NOUN
ejpam-4647	7	24	1	1	NUM
ejpam-4647	7	25	.	.	PUNCT
ejpam-4647	8	1	introduction	introduction	NOUN
ejpam-4647	8	2	integral	integral	ADJ
ejpam-4647	8	3	equations	equation	NOUN
ejpam-4647	8	4	are	be	AUX
ejpam-4647	8	5	a	a	DET
ejpam-4647	8	6	very	very	ADV
ejpam-4647	8	7	complicated	complicated	ADJ
ejpam-4647	8	8	and	and	CCONJ
ejpam-4647	8	9	old	old	ADJ
ejpam-4647	8	10	branch	branch	NOUN
ejpam-4647	8	11	of	of	ADP
ejpam-4647	8	12	mathematics	mathematic	NOUN
ejpam-4647	8	13	,	,	PUNCT
ejpam-4647	8	14	and	and	CCONJ
ejpam-4647	8	15	solutions	solution	NOUN
ejpam-4647	8	16	for	for	ADP
ejpam-4647	8	17	such	such	ADJ
ejpam-4647	8	18	equations	equation	NOUN
ejpam-4647	8	19	need	need	VERB
ejpam-4647	8	20	an	an	DET
ejpam-4647	8	21	appearing	appearing	ADJ
ejpam-4647	8	22	effort	effort	NOUN
ejpam-4647	8	23	even	even	ADV
ejpam-4647	8	24	after	after	SCONJ
ejpam-4647	8	25	numerical	numerical	ADJ
ejpam-4647	8	26	methods	method	NOUN
ejpam-4647	8	27	and	and	CCONJ
ejpam-4647	8	28	approaches	approach	NOUN
ejpam-4647	8	29	became	become	VERB
ejpam-4647	8	30	excellent	excellent	ADJ
ejpam-4647	8	31	tools	tool	NOUN
ejpam-4647	8	32	for	for	ADP
ejpam-4647	8	33	accurate	accurate	ADJ
ejpam-4647	8	34	results	result	NOUN
ejpam-4647	8	35	.	.	PUNCT
ejpam-4647	9	1	integrals	integral	NOUN
ejpam-4647	9	2	equations	equation	NOUN
ejpam-4647	9	3	spread	spread	VERB
ejpam-4647	9	4	among	among	ADP
ejpam-4647	9	5	wide	wide	ADJ
ejpam-4647	9	6	range	range	NOUN
ejpam-4647	9	7	of	of	ADP
ejpam-4647	9	8	topics	topic	NOUN
ejpam-4647	9	9	and	and	CCONJ
ejpam-4647	9	10	applications	application	NOUN
ejpam-4647	9	11	exist	exist	VERB
ejpam-4647	9	12	in	in	ADP
ejpam-4647	9	13	science	science	NOUN
ejpam-4647	9	14	,	,	PUNCT
ejpam-4647	9	15	engineering	engineering	NOUN
ejpam-4647	9	16	and	and	CCONJ
ejpam-4647	9	17	technology	technology	NOUN
ejpam-4647	9	18	,	,	PUNCT
ejpam-4647	9	19	e.g.	e.g.	ADV
ejpam-4647	9	20	,	,	PUNCT
ejpam-4647	9	21	continuum	continuum	ADJ
ejpam-4647	9	22	mechanics	mechanic	NOUN
ejpam-4647	9	23	,	,	PUNCT
ejpam-4647	9	24	potential	potential	ADJ
ejpam-4647	9	25	theory	theory	NOUN
ejpam-4647	9	26	,	,	PUNCT
ejpam-4647	9	27	geo	geo	PROPN
ejpam-4647	9	28	-	-	PUNCT
ejpam-4647	9	29	physics	physics	NOUN
ejpam-4647	9	30	,	,	PUNCT
ejpam-4647	9	31	electricity	electricity	NOUN
ejpam-4647	9	32	,	,	PUNCT
ejpam-4647	9	33	gas	gas	NOUN
ejpam-4647	9	34	kinetic	kinetic	NOUN
ejpam-4647	9	35	theory	theory	NOUN
ejpam-4647	9	36	[	[	X
ejpam-4647	9	37	1	1	NUM
ejpam-4647	9	38	,	,	PUNCT
ejpam-4647	9	39	4	4	NUM
ejpam-4647	9	40	,	,	PUNCT
ejpam-4647	9	41	5	5	NUM
ejpam-4647	9	42	,	,	PUNCT
ejpam-4647	9	43	13	13	NUM
ejpam-4647	9	44	,	,	PUNCT
ejpam-4647	9	45	16	16	NUM
ejpam-4647	9	46	]	]	PUNCT
ejpam-4647	9	47	.	.	PUNCT
ejpam-4647	10	1	also	also	ADV
ejpam-4647	10	2	in	in	ADP
ejpam-4647	10	3	biology	biology	NOUN
ejpam-4647	10	4	,	,	PUNCT
ejpam-4647	10	5	theory	theory	NOUN
ejpam-4647	10	6	of	of	ADP
ejpam-4647	10	7	renewal	renewal	NOUN
ejpam-4647	10	8	energy	energy	NOUN
ejpam-4647	10	9	,	,	PUNCT
ejpam-4647	10	10	quantum	quantum	NOUN
ejpam-4647	10	11	mechanics	mechanic	NOUN
ejpam-4647	10	12	,	,	PUNCT
ejpam-4647	10	13	theory	theory	NOUN
ejpam-4647	10	14	of	of	ADP
ejpam-4647	10	15	radiation	radiation	NOUN
ejpam-4647	10	16	,	,	PUNCT
ejpam-4647	10	17	theory	theory	NOUN
ejpam-4647	10	18	of	of	ADP
ejpam-4647	10	19	optimization	optimization	NOUN
ejpam-4647	10	20	,	,	PUNCT
ejpam-4647	10	21	economic	economic	ADJ
ejpam-4647	10	22	mathematics	mathematic	NOUN
ejpam-4647	10	23	,	,	PUNCT
ejpam-4647	10	24	population	population	NOUN
ejpam-4647	10	25	,	,	PUNCT
ejpam-4647	10	26	the	the	DET
ejpam-4647	10	27	theory	theory	NOUN
ejpam-4647	10	28	queuing	queue	VERB
ejpam-4647	10	29	,	,	PUNCT
ejpam-4647	10	30	some	some	DET
ejpam-4647	10	31	medical	medical	ADJ
ejpam-4647	10	32	applications	application	NOUN
ejpam-4647	10	33	,	,	PUNCT
ejpam-4647	10	34	transport	transport	NOUN
ejpam-4647	10	35	phenomena	phenomenon	NOUN
ejpam-4647	10	36	,	,	PUNCT
ejpam-4647	10	37	acoustic	acoustic	ADJ
ejpam-4647	10	38	applications	application	NOUN
ejpam-4647	10	39	,	,	PUNCT
ejpam-4647	10	40	phase	phase	NOUN
ejpam-4647	10	41	change	change	NOUN
ejpam-4647	10	42	problems	problem	NOUN
ejpam-4647	10	43	[	[	X
ejpam-4647	10	44	2	2	NUM
ejpam-4647	10	45	,	,	PUNCT
ejpam-4647	10	46	3	3	NUM
ejpam-4647	10	47	,	,	PUNCT
ejpam-4647	10	48	9	9	NUM
ejpam-4647	10	49	,	,	PUNCT
ejpam-4647	10	50	11	11	NUM
ejpam-4647	10	51	,	,	PUNCT
ejpam-4647	10	52	14	14	NUM
ejpam-4647	10	53	]	]	PUNCT
ejpam-4647	10	54	.	.	PUNCT
ejpam-4647	11	1	when	when	SCONJ
ejpam-4647	11	2	the	the	DET
ejpam-4647	11	3	various	various	ADJ
ejpam-4647	11	4	sciences	science	NOUN
ejpam-4647	11	5	became	become	VERB
ejpam-4647	11	6	complicated	complicated	ADJ
ejpam-4647	11	7	as	as	ADP
ejpam-4647	11	8	a	a	DET
ejpam-4647	11	9	result	result	NOUN
ejpam-4647	11	10	of	of	ADP
ejpam-4647	11	11	the	the	DET
ejpam-4647	11	12	interactions	interaction	NOUN
ejpam-4647	11	13	between	between	ADP
ejpam-4647	11	14	them	they	PRON
ejpam-4647	11	15	and	and	CCONJ
ejpam-4647	11	16	developed	develop	VERB
ejpam-4647	11	17	greatly	greatly	ADV
ejpam-4647	11	18	,	,	PUNCT
ejpam-4647	11	19	scientists	scientist	NOUN
ejpam-4647	11	20	began	begin	VERB
ejpam-4647	11	21	to	to	PART
ejpam-4647	11	22	study	study	VERB
ejpam-4647	11	23	natural	natural	ADJ
ejpam-4647	11	24	phenomena	phenomenon	NOUN
ejpam-4647	11	25	,	,	PUNCT
ejpam-4647	11	26	whether	whether	SCONJ
ejpam-4647	11	27	they	they	PRON
ejpam-4647	11	28	were	be	AUX
ejpam-4647	11	29	physical	physical	ADJ
ejpam-4647	11	30	,	,	PUNCT
ejpam-4647	11	31	and	and	CCONJ
ejpam-4647	11	32	to	to	PART
ejpam-4647	11	33	explain	explain	VERB
ejpam-4647	11	34	these	these	DET
ejpam-4647	11	35	phenomena	phenomenon	NOUN
ejpam-4647	11	36	and	and	CCONJ
ejpam-4647	11	37	find	find	VERB
ejpam-4647	11	38	different	different	ADJ
ejpam-4647	11	39	solutions	solution	NOUN
ejpam-4647	11	40	to	to	ADP
ejpam-4647	11	41	them	they	PRON
ejpam-4647	11	42	,	,	PUNCT
ejpam-4647	12	1	whether	whether	SCONJ
ejpam-4647	12	2	analytical	analytical	ADJ
ejpam-4647	12	3	or	or	CCONJ
ejpam-4647	12	4	numerical	numerical	ADJ
ejpam-4647	12	5	.	.	PUNCT
ejpam-4647	12	6	integrative	integrative	ADJ
ejpam-4647	12	7	equations	equation	NOUN
ejpam-4647	12	8	have	have	VERB
ejpam-4647	12	9	their	their	PRON
ejpam-4647	12	10	own	own	ADJ
ejpam-4647	12	11	importance	importance	NOUN
ejpam-4647	12	12	among	among	ADP
ejpam-4647	12	13	the	the	DET
ejpam-4647	12	14	different	different	ADJ
ejpam-4647	12	15	types	type	NOUN
ejpam-4647	12	16	of	of	ADP
ejpam-4647	12	17	mathematical	mathematical	ADJ
ejpam-4647	12	18	sciences	science	NOUN
ejpam-4647	12	19	such	such	ADJ
ejpam-4647	12	20	as	as	ADP
ejpam-4647	12	21	partial	partial	ADJ
ejpam-4647	12	22	and	and	CCONJ
ejpam-4647	12	23	differential	differential	ADJ
ejpam-4647	12	24	equations	equation	NOUN
ejpam-4647	12	25	,	,	PUNCT
ejpam-4647	12	26	functional	functional	ADJ
ejpam-4647	12	27	∗corresponding	∗corresponding	NOUN
ejpam-4647	12	28	author	author	NOUN
ejpam-4647	12	29	.	.	PUNCT
ejpam-4647	13	1	doi	doi	NOUN
ejpam-4647	13	2	:	:	PUNCT
ejpam-4647	13	3	https://doi.org/10.29020/nybg.ejpam.v16i1.4647	https://doi.org/10.29020/nybg.ejpam.v16i1.4647	PROPN
ejpam-4647	13	4	email	email	NOUN
ejpam-4647	13	5	addresses	address	NOUN
ejpam-4647	13	6	:	:	PUNCT
ejpam-4647	13	7	blumiaa.h.s@uomosul.edu.iq	blumiaa.h.s@uomosul.edu.iq	PROPN
ejpam-4647	13	8	(	(	PUNCT
ejpam-4647	13	9	l.	l.	PROPN
ejpam-4647	13	10	h.	h.	PROPN
ejpam-4647	13	11	al	al	PROPN
ejpam-4647	13	12	-	-	PUNCT
ejpam-4647	13	13	taee	taee	NOUN
ejpam-4647	13	14	)	)	PUNCT
ejpam-4647	13	15	,	,	PUNCT
ejpam-4647	13	16	aahmedamer68@uomosul.edu.iq	aahmedamer68@uomosul.edu.iq	PROPN
ejpam-4647	13	17	(	(	PUNCT
ejpam-4647	13	18	a.	a.	NOUN
ejpam-4647	13	19	a.	a.	NOUN
ejpam-4647	13	20	m.	m.	PROPN
ejpam-4647	13	21	fawze	fawze	PROPN
ejpam-4647	13	22	)	)	PUNCT
ejpam-4647	13	23	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-4647	14	1	304	304	NUM
ejpam-4647	15	1	©	©	PROPN
ejpam-4647	15	2	2023	2023	NUM
ejpam-4647	15	3	ejpam	ejpam	NOUN
ejpam-4647	15	4	all	all	DET
ejpam-4647	15	5	rights	right	NOUN
ejpam-4647	15	6	reserved	reserve	VERB
ejpam-4647	15	7	.	.	PUNCT
ejpam-4647	16	1	l.	l.	PROPN
ejpam-4647	16	2	h.	h.	PROPN
ejpam-4647	16	3	al	al	PROPN
ejpam-4647	16	4	-	-	PUNCT
ejpam-4647	16	5	taee	taee	PROPN
ejpam-4647	16	6	,	,	PUNCT
ejpam-4647	16	7	a.	a.	NOUN
ejpam-4647	16	8	a.	a.	NOUN
ejpam-4647	16	9	m.	m.	NOUN
ejpam-4647	16	10	fawze	fawze	ADV
ejpam-4647	16	11	/	/	SYM
ejpam-4647	16	12	eur	eur	PROPN
ejpam-4647	16	13	.	.	PUNCT
ejpam-4647	17	1	j.	j.	PROPN
ejpam-4647	17	2	pure	pure	PROPN
ejpam-4647	17	3	appl	appl	PROPN
ejpam-4647	17	4	.	.	PROPN
ejpam-4647	17	5	math	math	PROPN
ejpam-4647	17	6	,	,	PUNCT
ejpam-4647	17	7	16	16	NUM
ejpam-4647	17	8	(	(	PUNCT
ejpam-4647	17	9	1	1	NUM
ejpam-4647	17	10	)	)	PUNCT
ejpam-4647	17	11	(	(	PUNCT
ejpam-4647	17	12	2023	2023	NUM
ejpam-4647	17	13	)	)	PUNCT
ejpam-4647	17	14	,	,	PUNCT
ejpam-4647	17	15	304	304	NUM
ejpam-4647	17	16	-	-	SYM
ejpam-4647	17	17	313	313	NUM
ejpam-4647	17	18	305	305	NUM
ejpam-4647	17	19	analysis	analysis	NOUN
ejpam-4647	17	20	,	,	PUNCT
ejpam-4647	17	21	the	the	DET
ejpam-4647	17	22	theory	theory	NOUN
ejpam-4647	17	23	of	of	ADP
ejpam-4647	17	24	operators	operator	NOUN
ejpam-4647	17	25	,	,	PUNCT
ejpam-4647	17	26	transformers	transformer	NOUN
ejpam-4647	17	27	and	and	CCONJ
ejpam-4647	17	28	special	special	ADJ
ejpam-4647	17	29	functions	function	NOUN
ejpam-4647	17	30	.	.	PUNCT
ejpam-4647	18	1	therefore	therefore	ADV
ejpam-4647	18	2	,	,	PUNCT
ejpam-4647	18	3	it	it	PRON
ejpam-4647	18	4	can	can	AUX
ejpam-4647	18	5	be	be	AUX
ejpam-4647	18	6	said	say	VERB
ejpam-4647	18	7	that	that	SCONJ
ejpam-4647	18	8	there	there	PRON
ejpam-4647	18	9	is	be	VERB
ejpam-4647	18	10	no	no	DET
ejpam-4647	18	11	science	science	NOUN
ejpam-4647	18	12	from	from	ADP
ejpam-4647	18	13	the	the	DET
ejpam-4647	18	14	different	different	ADJ
ejpam-4647	18	15	sciences	science	NOUN
ejpam-4647	18	16	except	except	SCONJ
ejpam-4647	18	17	that	that	SCONJ
ejpam-4647	18	18	the	the	DET
ejpam-4647	18	19	integrative	integrative	ADJ
ejpam-4647	18	20	equations	equation	NOUN
ejpam-4647	18	21	play	play	VERB
ejpam-4647	18	22	a	a	DET
ejpam-4647	18	23	prominent	prominent	ADJ
ejpam-4647	18	24	role	role	NOUN
ejpam-4647	18	25	in	in	ADP
ejpam-4647	18	26	it	it	PRON
ejpam-4647	18	27	.	.	PUNCT
ejpam-4647	19	1	therefore	therefore	ADV
ejpam-4647	19	2	,	,	PUNCT
ejpam-4647	19	3	we	we	PRON
ejpam-4647	19	4	find	find	VERB
ejpam-4647	19	5	that	that	SCONJ
ejpam-4647	19	6	many	many	ADJ
ejpam-4647	19	7	researchers	researcher	NOUN
ejpam-4647	19	8	have	have	AUX
ejpam-4647	19	9	been	be	AUX
ejpam-4647	19	10	able	able	ADJ
ejpam-4647	19	11	to	to	PART
ejpam-4647	19	12	devise	devise	VERB
ejpam-4647	19	13	many	many	ADJ
ejpam-4647	19	14	different	different	ADJ
ejpam-4647	19	15	ways	way	NOUN
ejpam-4647	19	16	to	to	PART
ejpam-4647	19	17	solve	solve	VERB
ejpam-4647	19	18	the	the	DET
ejpam-4647	19	19	integrative	integrative	ADJ
ejpam-4647	19	20	equations	equation	NOUN
ejpam-4647	19	21	,	,	PUNCT
ejpam-4647	19	22	whether	whether	SCONJ
ejpam-4647	19	23	the	the	DET
ejpam-4647	19	24	nucleus	nucleus	NOUN
ejpam-4647	19	25	of	of	ADP
ejpam-4647	19	26	the	the	DET
ejpam-4647	19	27	integrative	integrative	ADJ
ejpam-4647	19	28	equation	equation	NOUN
ejpam-4647	19	29	is	be	AUX
ejpam-4647	19	30	connected	connect	VERB
ejpam-4647	19	31	or	or	CCONJ
ejpam-4647	19	32	unconnected	unconnected	ADJ
ejpam-4647	19	33	and	and	CCONJ
ejpam-4647	19	34	other	other	ADJ
ejpam-4647	19	35	methods	method	NOUN
ejpam-4647	19	36	that	that	PRON
ejpam-4647	19	37	are	be	AUX
ejpam-4647	19	38	represented	represent	VERB
ejpam-4647	19	39	as	as	ADP
ejpam-4647	19	40	ways	way	NOUN
ejpam-4647	19	41	analytical	analytical	ADJ
ejpam-4647	19	42	or	or	CCONJ
ejpam-4647	19	43	numerical	numerical	ADJ
ejpam-4647	19	44	.	.	PUNCT
ejpam-4647	20	1	in	in	ADP
ejpam-4647	20	2	one	one	NUM
ejpam-4647	20	3	of	of	ADP
ejpam-4647	20	4	the	the	DET
ejpam-4647	20	5	papers	paper	NOUN
ejpam-4647	20	6	,	,	PUNCT
ejpam-4647	20	7	a	a	DET
ejpam-4647	20	8	new	new	ADJ
ejpam-4647	20	9	analytical	analytical	ADJ
ejpam-4647	20	10	method	method	NOUN
ejpam-4647	20	11	was	be	AUX
ejpam-4647	20	12	presented	present	VERB
ejpam-4647	20	13	for	for	ADP
ejpam-4647	20	14	solving	solve	VERB
ejpam-4647	20	15	systems	system	NOUN
ejpam-4647	20	16	of	of	ADP
ejpam-4647	20	17	linear	linear	PROPN
ejpam-4647	20	18	differential	differential	NOUN
ejpam-4647	20	19	integrals	integral	NOUN
ejpam-4647	20	20	,	,	PUNCT
ejpam-4647	20	21	which	which	PRON
ejpam-4647	20	22	is	be	AUX
ejpam-4647	20	23	a	a	DET
ejpam-4647	20	24	new	new	ADJ
ejpam-4647	20	25	and	and	CCONJ
ejpam-4647	20	26	powerful	powerful	ADJ
ejpam-4647	20	27	method	method	NOUN
ejpam-4647	20	28	through	through	ADP
ejpam-4647	20	29	which	which	PRON
ejpam-4647	20	30	effective	effective	ADJ
ejpam-4647	20	31	recursive	recursive	ADJ
ejpam-4647	20	32	relationships	relationship	NOUN
ejpam-4647	20	33	were	be	AUX
ejpam-4647	20	34	obtained	obtain	VERB
ejpam-4647	20	35	to	to	PART
ejpam-4647	20	36	solve	solve	VERB
ejpam-4647	20	37	these	these	DET
ejpam-4647	20	38	systems	system	NOUN
ejpam-4647	20	39	,	,	PUNCT
ejpam-4647	20	40	and	and	CCONJ
ejpam-4647	20	41	it	it	PRON
ejpam-4647	20	42	is	be	AUX
ejpam-4647	20	43	an	an	DET
ejpam-4647	20	44	appropriate	appropriate	ADJ
ejpam-4647	20	45	method	method	NOUN
ejpam-4647	20	46	to	to	PART
ejpam-4647	20	47	use	use	VERB
ejpam-4647	20	48	it	it	PRON
ejpam-4647	20	49	as	as	ADP
ejpam-4647	20	50	an	an	DET
ejpam-4647	20	51	alternative	alternative	NOUN
ejpam-4647	20	52	to	to	ADP
ejpam-4647	20	53	the	the	DET
ejpam-4647	20	54	mathematical	mathematical	ADJ
ejpam-4647	20	55	methods	method	NOUN
ejpam-4647	20	56	used	use	VERB
ejpam-4647	20	57	in	in	ADP
ejpam-4647	20	58	such	such	ADJ
ejpam-4647	20	59	problems	problem	NOUN
ejpam-4647	20	60	.	.	PUNCT
ejpam-4647	21	1	fredholm	fredholm	VERB
ejpam-4647	21	2	integral	integral	ADJ
ejpam-4647	21	3	equation	equation	NOUN
ejpam-4647	21	4	is	be	AUX
ejpam-4647	21	5	one	one	NUM
ejpam-4647	21	6	of	of	ADP
ejpam-4647	21	7	the	the	DET
ejpam-4647	21	8	most	most	ADV
ejpam-4647	21	9	important	important	ADJ
ejpam-4647	21	10	integral	integral	ADJ
ejpam-4647	21	11	equations	equation	NOUN
ejpam-4647	21	12	,	,	PUNCT
ejpam-4647	21	13	and	and	CCONJ
ejpam-4647	21	14	researchers	researcher	NOUN
ejpam-4647	21	15	look	look	VERB
ejpam-4647	21	16	to	to	ADP
ejpam-4647	21	17	the	the	DET
ejpam-4647	21	18	basis	basis	NOUN
ejpam-4647	21	19	of	of	ADP
ejpam-4647	21	20	integral	integral	ADJ
ejpam-4647	21	21	equations	equation	NOUN
ejpam-4647	21	22	as	as	ADP
ejpam-4647	21	23	a	a	DET
ejpam-4647	21	24	transformation	transformation	NOUN
ejpam-4647	21	25	of	of	ADP
ejpam-4647	21	26	some	some	DET
ejpam-4647	21	27	points	point	NOUN
ejpam-4647	21	28	over	over	ADP
ejpam-4647	21	29	given	give	VERB
ejpam-4647	21	30	vector	vector	NOUN
ejpam-4647	21	31	space	space	NOUN
ejpam-4647	21	32	that	that	PRON
ejpam-4647	21	33	have	have	VERB
ejpam-4647	21	34	specific	specific	ADJ
ejpam-4647	21	35	criteria	criterion	NOUN
ejpam-4647	21	36	by	by	ADP
ejpam-4647	21	37	making	make	VERB
ejpam-4647	21	38	use	use	NOUN
ejpam-4647	21	39	of	of	ADP
ejpam-4647	21	40	certain	certain	ADJ
ejpam-4647	21	41	specified	specified	ADJ
ejpam-4647	21	42	operators	operator	NOUN
ejpam-4647	21	43	to	to	ADP
ejpam-4647	21	44	other	other	ADJ
ejpam-4647	21	45	points	point	NOUN
ejpam-4647	21	46	located	locate	VERB
ejpam-4647	21	47	in	in	ADP
ejpam-4647	21	48	the	the	DET
ejpam-4647	21	49	same	same	ADJ
ejpam-4647	21	50	space	space	NOUN
ejpam-4647	21	51	[	[	X
ejpam-4647	21	52	15	15	NUM
ejpam-4647	21	53	]	]	PUNCT
ejpam-4647	21	54	.	.	PUNCT
ejpam-4647	22	1	there	there	PRON
ejpam-4647	22	2	are	be	VERB
ejpam-4647	22	3	wide	wide	ADJ
ejpam-4647	22	4	ranges	range	NOUN
ejpam-4647	22	5	of	of	ADP
ejpam-4647	22	6	numerical	numerical	ADJ
ejpam-4647	22	7	methods	method	NOUN
ejpam-4647	22	8	for	for	ADP
ejpam-4647	22	9	implementing	implement	VERB
ejpam-4647	22	10	of	of	ADP
ejpam-4647	22	11	fredholm	fredholm	NOUN
ejpam-4647	22	12	2nd	2nd	ADJ
ejpam-4647	22	13	type	type	NOUN
ejpam-4647	22	14	,	,	PUNCT
ejpam-4647	22	15	some	some	PRON
ejpam-4647	22	16	of	of	ADP
ejpam-4647	22	17	these	these	DET
ejpam-4647	22	18	methods	method	NOUN
ejpam-4647	22	19	,	,	PUNCT
ejpam-4647	22	20	the	the	DET
ejpam-4647	22	21	β	β	NOUN
ejpam-4647	22	22	-	-	ADJ
ejpam-4647	22	23	wavelet	wavelet	ADJ
ejpam-4647	22	24	method	method	NOUN
ejpam-4647	22	25	[	[	X
ejpam-4647	22	26	7	7	NUM
ejpam-4647	22	27	]	]	PUNCT
ejpam-4647	22	28	,	,	PUNCT
ejpam-4647	22	29	moments	moment	NOUN
ejpam-4647	22	30	method	method	NOUN
ejpam-4647	22	31	based	base	VERB
ejpam-4647	22	32	on	on	ADP
ejpam-4647	22	33	β	β	NOUN
ejpam-4647	22	34	-	-	NOUN
ejpam-4647	22	35	wavelets	wavelet	NOUN
ejpam-4647	22	36	[	[	X
ejpam-4647	22	37	18	18	NUM
ejpam-4647	22	38	]	]	PUNCT
ejpam-4647	22	39	,	,	PUNCT
ejpam-4647	22	40	and	and	CCONJ
ejpam-4647	22	41	variational	variational	ADJ
ejpam-4647	22	42	iteration	iteration	NOUN
ejpam-4647	22	43	method	method	NOUN
ejpam-4647	22	44	[	[	X
ejpam-4647	22	45	12	12	NUM
ejpam-4647	22	46	]	]	PUNCT
ejpam-4647	22	47	.	.	PUNCT
ejpam-4647	23	1	some	some	PRON
ejpam-4647	23	2	of	of	ADP
ejpam-4647	23	3	the	the	DET
ejpam-4647	23	4	numerical	numerical	ADJ
ejpam-4647	23	5	trials	trial	NOUN
ejpam-4647	23	6	for	for	ADP
ejpam-4647	23	7	solving	solve	VERB
ejpam-4647	23	8	fredholm	fredholm	NOUN
ejpam-4647	23	9	integral	integral	ADJ
ejpam-4647	23	10	equation	equation	NOUN
ejpam-4647	23	11	of	of	ADP
ejpam-4647	23	12	2nd	2nd	ADJ
ejpam-4647	23	13	kind	kind	NOUN
ejpam-4647	23	14	that	that	PRON
ejpam-4647	23	15	proposed	propose	VERB
ejpam-4647	23	16	by	by	ADP
ejpam-4647	23	17	maleknejad	maleknejad	PROPN
ejpam-4647	23	18	et	et	PROPN
ejpam-4647	23	19	al	al	PROPN
ejpam-4647	23	20	.	.	PROPN
ejpam-4647	23	21	,	,	PUNCT
ejpam-4647	24	1	[	[	X
ejpam-4647	24	2	6	6	NUM
ejpam-4647	24	3	]	]	PUNCT
ejpam-4647	24	4	.	.	PUNCT
ejpam-4647	25	1	the	the	DET
ejpam-4647	25	2	homotopy	homotopy	NOUN
ejpam-4647	25	3	perturbation	perturbation	NOUN
ejpam-4647	25	4	method	method	NOUN
ejpam-4647	25	5	is	be	AUX
ejpam-4647	25	6	one	one	NUM
ejpam-4647	25	7	of	of	ADP
ejpam-4647	25	8	the	the	DET
ejpam-4647	25	9	iterative	iterative	ADJ
ejpam-4647	25	10	numerical	numerical	ADJ
ejpam-4647	25	11	methods	method	NOUN
ejpam-4647	25	12	that	that	PRON
ejpam-4647	25	13	gave	give	VERB
ejpam-4647	25	14	good	good	ADJ
ejpam-4647	25	15	approximate	approximate	ADJ
ejpam-4647	25	16	solutions	solution	NOUN
ejpam-4647	25	17	for	for	ADP
ejpam-4647	25	18	the	the	DET
ejpam-4647	25	19	problem	problem	NOUN
ejpam-4647	25	20	underhand	underhand	NOUN
ejpam-4647	25	21	.	.	PUNCT
ejpam-4647	26	1	in	in	ADP
ejpam-4647	26	2	the	the	DET
ejpam-4647	26	3	present	present	ADJ
ejpam-4647	26	4	paper	paper	NOUN
ejpam-4647	26	5	,	,	PUNCT
ejpam-4647	26	6	certain	certain	ADJ
ejpam-4647	26	7	type	type	NOUN
ejpam-4647	26	8	of	of	ADP
ejpam-4647	26	9	integral	integral	ADJ
ejpam-4647	26	10	equations	equation	NOUN
ejpam-4647	26	11	is	be	AUX
ejpam-4647	26	12	analyzed	analyze	VERB
ejpam-4647	26	13	.	.	PUNCT
ejpam-4647	27	1	the	the	DET
ejpam-4647	27	2	analysis	analysis	NOUN
ejpam-4647	27	3	is	be	AUX
ejpam-4647	27	4	to	to	PART
ejpam-4647	27	5	approximate	approximate	VERB
ejpam-4647	27	6	eigenvalues	eigenvalue	NOUN
ejpam-4647	27	7	of	of	ADP
ejpam-4647	27	8	2nd	2nd	ADJ
ejpam-4647	27	9	type	type	NOUN
ejpam-4647	27	10	,	,	PUNCT
ejpam-4647	27	11	fredholm	fredholm	NOUN
ejpam-4647	27	12	equation	equation	NOUN
ejpam-4647	27	13	using	use	VERB
ejpam-4647	27	14	a	a	DET
ejpam-4647	27	15	proposed	propose	VERB
ejpam-4647	27	16	inverse	inverse	NOUN
ejpam-4647	27	17	numerical	numerical	PROPN
ejpam-4647	27	18	iterative	iterative	PROPN
ejpam-4647	27	19	scheme	scheme	NOUN
ejpam-4647	27	20	.	.	PUNCT
ejpam-4647	28	1	the	the	DET
ejpam-4647	28	2	current	current	ADJ
ejpam-4647	28	3	paper	paper	NOUN
ejpam-4647	28	4	is	be	AUX
ejpam-4647	28	5	a	a	DET
ejpam-4647	28	6	trial	trial	NOUN
ejpam-4647	28	7	to	to	PART
ejpam-4647	28	8	investigate	investigate	VERB
ejpam-4647	28	9	the	the	DET
ejpam-4647	28	10	eigen	eigen	PROPN
ejpam-4647	28	11	functions	function	NOUN
ejpam-4647	28	12	appears	appear	VERB
ejpam-4647	28	13	through	through	ADP
ejpam-4647	28	14	mathematical	mathematical	ADJ
ejpam-4647	28	15	treatment	treatment	NOUN
ejpam-4647	28	16	of	of	ADP
ejpam-4647	28	17	2nd	2nd	ADJ
ejpam-4647	28	18	kind	kind	NOUN
ejpam-4647	28	19	of	of	ADV
ejpam-4647	28	20	fredholm	fredholm	VERB
ejpam-4647	28	21	integral	integral	ADJ
ejpam-4647	28	22	equations	equation	NOUN
ejpam-4647	28	23	by	by	ADP
ejpam-4647	28	24	making	make	VERB
ejpam-4647	28	25	use	use	VERB
ejpam-4647	28	26	a	a	DET
ejpam-4647	28	27	new	new	ADJ
ejpam-4647	28	28	developed	develop	VERB
ejpam-4647	28	29	an	an	DET
ejpam-4647	28	30	(	(	PUNCT
ejpam-4647	28	31	iins	iin	NOUN
ejpam-4647	28	32	)	)	PUNCT
ejpam-4647	28	33	.	.	PUNCT
ejpam-4647	29	1	to	to	PART
ejpam-4647	29	2	test	test	VERB
ejpam-4647	29	3	the	the	DET
ejpam-4647	29	4	applicability	applicability	NOUN
ejpam-4647	29	5	and	and	CCONJ
ejpam-4647	29	6	accuracy	accuracy	NOUN
ejpam-4647	29	7	of	of	ADP
ejpam-4647	29	8	the	the	DET
ejpam-4647	29	9	proposed	propose	VERB
ejpam-4647	29	10	nis	nis	NOUN
ejpam-4647	29	11	,	,	PUNCT
ejpam-4647	29	12	two	two	NUM
ejpam-4647	29	13	numerical	numerical	ADJ
ejpam-4647	29	14	examples	example	NOUN
ejpam-4647	29	15	were	be	AUX
ejpam-4647	29	16	solved	solve	VERB
ejpam-4647	29	17	and	and	CCONJ
ejpam-4647	29	18	compared	compare	VERB
ejpam-4647	29	19	with	with	ADP
ejpam-4647	29	20	previous	previous	ADJ
ejpam-4647	29	21	results	result	NOUN
ejpam-4647	29	22	.	.	PUNCT
ejpam-4647	30	1	the	the	DET
ejpam-4647	30	2	discussion	discussion	NOUN
ejpam-4647	30	3	of	of	ADP
ejpam-4647	30	4	the	the	DET
ejpam-4647	30	5	results	result	NOUN
ejpam-4647	30	6	gave	give	VERB
ejpam-4647	30	7	a	a	DET
ejpam-4647	30	8	good	good	ADJ
ejpam-4647	30	9	coincides	coincide	NOUN
ejpam-4647	30	10	up	up	ADP
ejpam-4647	30	11	to	to	ADP
ejpam-4647	30	12	some	some	DET
ejpam-4647	30	13	decimal	decimal	ADJ
ejpam-4647	30	14	places	place	NOUN
ejpam-4647	30	15	of	of	ADP
ejpam-4647	30	16	results	result	NOUN
ejpam-4647	30	17	with	with	ADP
ejpam-4647	30	18	the	the	DET
ejpam-4647	30	19	available	available	ADJ
ejpam-4647	30	20	ones	one	NOUN
ejpam-4647	30	21	.	.	PUNCT
ejpam-4647	31	1	2	2	X
ejpam-4647	31	2	.	.	NOUN
ejpam-4647	31	3	mathematical	mathematical	ADJ
ejpam-4647	31	4	formulation	formulation	NOUN
ejpam-4647	31	5	starting	start	VERB
ejpam-4647	31	6	by	by	ADP
ejpam-4647	31	7	the	the	DET
ejpam-4647	31	8	so	so	ADV
ejpam-4647	31	9	called	call	VERB
ejpam-4647	31	10	(	(	PUNCT
ejpam-4647	31	11	cfi	cfi	PROPN
ejpam-4647	31	12	)	)	PUNCT
ejpam-4647	31	13	defined	define	VERB
ejpam-4647	31	14	as:∫	as:∫	PROPN
ejpam-4647	31	15	ω	ω	PROPN
ejpam-4647	31	16	i	i	PROPN
ejpam-4647	31	17	(	(	PUNCT
ejpam-4647	31	18	ε1	ε1	PROPN
ejpam-4647	31	19	,	,	PUNCT
ejpam-4647	31	20	ε2)ϕ	ε2)ϕ	NOUN
ejpam-4647	31	21	(	(	PUNCT
ejpam-4647	32	1	ζ2	ζ2	NOUN
ejpam-4647	32	2	)	)	PUNCT
ejpam-4647	32	3	dℵϖ2	dℵϖ2	NOUN
ejpam-4647	33	1	=	=	PUNCT
ejpam-4647	33	2	χϕ	χϕ	PROPN
ejpam-4647	33	3	(	(	PUNCT
ejpam-4647	33	4	ε1	ε1	PROPN
ejpam-4647	33	5	)	)	PUNCT
ejpam-4647	33	6	(	(	PUNCT
ejpam-4647	33	7	1	1	X
ejpam-4647	33	8	)	)	PUNCT
ejpam-4647	33	9	in	in	ADP
ejpam-4647	33	10	which	which	PRON
ejpam-4647	33	11	,	,	PUNCT
ejpam-4647	33	12	dℵx2	dℵx2	NOUN
ejpam-4647	33	13	is	be	AUX
ejpam-4647	33	14	stieltjes	stieltjes	PROPN
ejpam-4647	33	15	measure	measure	NOUN
ejpam-4647	33	16	,	,	PUNCT
ejpam-4647	33	17	defined	define	VERB
ejpam-4647	33	18	as	as	ADP
ejpam-4647	33	19	:	:	PUNCT
ejpam-4647	33	20	dℵε2	dℵε2	PROPN
ejpam-4647	33	21	=	=	PUNCT
ejpam-4647	33	22	dε2	dε2	NOUN
ejpam-4647	34	1	+	+	CCONJ
ejpam-4647	34	2	i	i	PRON
ejpam-4647	34	3	=	=	NOUN
ejpam-4647	34	4	k∑	k∑	VERB
ejpam-4647	34	5	i=1	i=1	PROPN
ejpam-4647	34	6	mkδ	mkδ	PROPN
ejpam-4647	34	7	(	(	PUNCT
ejpam-4647	34	8	υi	υi	NOUN
ejpam-4647	34	9	)	)	PUNCT
ejpam-4647	34	10	(	(	PUNCT
ejpam-4647	34	11	2	2	X
ejpam-4647	34	12	)	)	PUNCT
ejpam-4647	34	13	i	i	PRON
ejpam-4647	34	14	(	(	PUNCT
ejpam-4647	34	15	ε1	ε1	PROPN
ejpam-4647	34	16	,	,	PUNCT
ejpam-4647	34	17	ε2	ε2	ADJ
ejpam-4647	34	18	):	):	PUNCT
ejpam-4647	34	19	a	a	DET
ejpam-4647	34	20	positive	positive	ADJ
ejpam-4647	34	21	symmetric	symmetric	ADJ
ejpam-4647	34	22	kernel	kernel	NOUN
ejpam-4647	34	23	,	,	PUNCT
ejpam-4647	34	24	mk	mk	PROPN
ejpam-4647	34	25	:	:	PUNCT
ejpam-4647	34	26	cpm	cpm	PROPN
ejpam-4647	34	27	,	,	PUNCT
ejpam-4647	34	28	υi	υi	PROPN
ejpam-4647	34	29	,	,	PUNCT
ejpam-4647	34	30	i	i	NOUN
ejpam-4647	34	31	=	=	NOUN
ejpam-4647	34	32	1	1	NUM
ejpam-4647	34	33	,	,	PUNCT
ejpam-4647	34	34	2	2	NUM
ejpam-4647	34	35	,	,	PUNCT
ejpam-4647	34	36	.....	.....	PUNCT
ejpam-4647	35	1	k	k	NOUN
ejpam-4647	35	2	:	:	PUNCT
ejpam-4647	35	3	arbitrary	arbitrary	ADJ
ejpam-4647	35	4	points	point	NOUN
ejpam-4647	35	5	at	at	ADP
ejpam-4647	35	6	which	which	PRON
ejpam-4647	35	7	the	the	DET
ejpam-4647	35	8	massesmk	massesmk	PROPN
ejpam-4647	35	9	are	be	AUX
ejpam-4647	35	10	concentrated	concentrate	VERB
ejpam-4647	35	11	,	,	PUNCT
ejpam-4647	35	12	δ	δ	PROPN
ejpam-4647	35	13	:	:	PUNCT
ejpam-4647	35	14	ddf	ddf	PROPN
ejpam-4647	35	15	l.	l.	PROPN
ejpam-4647	35	16	h.	h.	PROPN
ejpam-4647	35	17	al	al	PROPN
ejpam-4647	35	18	-	-	PROPN
ejpam-4647	35	19	taee	taee	PROPN
ejpam-4647	35	20	,	,	PUNCT
ejpam-4647	35	21	a.	a.	NOUN
ejpam-4647	35	22	a.	a.	NOUN
ejpam-4647	35	23	m.	m.	NOUN
ejpam-4647	35	24	fawze	fawze	ADV
ejpam-4647	35	25	/	/	SYM
ejpam-4647	35	26	eur	eur	PROPN
ejpam-4647	35	27	.	.	PUNCT
ejpam-4647	36	1	j.	j.	PROPN
ejpam-4647	36	2	pure	pure	PROPN
ejpam-4647	36	3	appl	appl	PROPN
ejpam-4647	36	4	.	.	PROPN
ejpam-4647	36	5	math	math	PROPN
ejpam-4647	36	6	,	,	PUNCT
ejpam-4647	36	7	16	16	NUM
ejpam-4647	36	8	(	(	PUNCT
ejpam-4647	36	9	1	1	NUM
ejpam-4647	36	10	)	)	PUNCT
ejpam-4647	36	11	(	(	PUNCT
ejpam-4647	36	12	2023	2023	NUM
ejpam-4647	36	13	)	)	PUNCT
ejpam-4647	36	14	,	,	PUNCT
ejpam-4647	36	15	304	304	NUM
ejpam-4647	36	16	-	-	SYM
ejpam-4647	36	17	313	313	NUM
ejpam-4647	36	18	306	306	NUM
ejpam-4647	36	19	the	the	DET
ejpam-4647	36	20	cfi	cfi	NOUN
ejpam-4647	36	21	has	have	VERB
ejpam-4647	36	22	wide	wide	ADJ
ejpam-4647	36	23	applications	application	NOUN
ejpam-4647	36	24	in	in	ADP
ejpam-4647	36	25	the	the	DET
ejpam-4647	36	26	field	field	NOUN
ejpam-4647	36	27	of	of	ADP
ejpam-4647	36	28	vibrations	vibration	NOUN
ejpam-4647	36	29	of	of	ADP
ejpam-4647	36	30	a	a	DET
ejpam-4647	36	31	string	string	NOUN
ejpam-4647	36	32	[	[	X
ejpam-4647	36	33	8	8	NUM
ejpam-4647	36	34	,	,	PUNCT
ejpam-4647	36	35	10	10	NUM
ejpam-4647	36	36	,	,	PUNCT
ejpam-4647	36	37	17	17	NUM
ejpam-4647	36	38	,	,	PUNCT
ejpam-4647	36	39	19	19	NUM
ejpam-4647	36	40	]	]	PUNCT
ejpam-4647	36	41	,	,	PUNCT
ejpam-4647	36	42	the	the	DET
ejpam-4647	36	43	concepts	concept	NOUN
ejpam-4647	36	44	of	of	ADP
ejpam-4647	36	45	the	the	DET
ejpam-4647	36	46	so	so	ADV
ejpam-4647	36	47	called	call	VERB
ejpam-4647	36	48	inis	inis	PROPN
ejpam-4647	36	49	will	will	AUX
ejpam-4647	36	50	be	be	AUX
ejpam-4647	36	51	applied	apply	VERB
ejpam-4647	36	52	,	,	PUNCT
ejpam-4647	36	53	and	and	CCONJ
ejpam-4647	36	54	the	the	DET
ejpam-4647	36	55	general	general	ADJ
ejpam-4647	36	56	case	case	NOUN
ejpam-4647	36	57	of	of	ADP
ejpam-4647	36	58	the	the	DET
ejpam-4647	36	59	string	string	NOUN
ejpam-4647	36	60	with	with	ADP
ejpam-4647	36	61	different	different	ADJ
ejpam-4647	36	62	densities	density	NOUN
ejpam-4647	36	63	ρ	ρ	NOUN
ejpam-4647	36	64	(	(	PUNCT
ejpam-4647	36	65	ζ2	ζ2	NOUN
ejpam-4647	36	66	)	)	PUNCT
ejpam-4647	36	67	will	will	AUX
ejpam-4647	36	68	be	be	AUX
ejpam-4647	36	69	used	use	VERB
ejpam-4647	36	70	herein	herein	NOUN
ejpam-4647	36	71	in	in	ADP
ejpam-4647	36	72	the	the	DET
ejpam-4647	36	73	current	current	ADJ
ejpam-4647	36	74	paper	paper	NOUN
ejpam-4647	36	75	.	.	PUNCT
ejpam-4647	37	1	the	the	DET
ejpam-4647	37	2	density	density	NOUN
ejpam-4647	37	3	will	will	AUX
ejpam-4647	37	4	be	be	AUX
ejpam-4647	37	5	charged	charge	VERB
ejpam-4647	37	6	by	by	ADP
ejpam-4647	37	7	a	a	DET
ejpam-4647	37	8	finite	finite	ADJ
ejpam-4647	37	9	number	number	NOUN
ejpam-4647	37	10	of	of	ADP
ejpam-4647	37	11	cursors	cursor	NOUN
ejpam-4647	37	12	;	;	PUNCT
ejpam-4647	37	13	therefore	therefore	ADV
ejpam-4647	37	14	,	,	PUNCT
ejpam-4647	37	15	its	its	PRON
ejpam-4647	37	16	measurement	measurement	NOUN
ejpam-4647	37	17	using	use	VERB
ejpam-4647	37	18	the	the	DET
ejpam-4647	37	19	following	follow	VERB
ejpam-4647	37	20	equation	equation	NOUN
ejpam-4647	37	21	:	:	PUNCT
ejpam-4647	37	22	dℵε2	dℵε2	PROPN
ejpam-4647	37	23	=	=	SYM
ejpam-4647	37	24	ρ	ρ	PROPN
ejpam-4647	37	25	(	(	PUNCT
ejpam-4647	37	26	ε2	ε2	PROPN
ejpam-4647	37	27	)	)	PUNCT
ejpam-4647	37	28	dζ2	dζ2	PROPN
ejpam-4647	38	1	+	+	CCONJ
ejpam-4647	38	2	i	i	PROPN
ejpam-4647	38	3	=	=	PROPN
ejpam-4647	38	4	k∑	k∑	VERB
ejpam-4647	38	5	i=1	i=1	PROPN
ejpam-4647	38	6	mkδ	mkδ	PROPN
ejpam-4647	38	7	(	(	PUNCT
ejpam-4647	38	8	υi	υi	NOUN
ejpam-4647	38	9	)	)	PUNCT
ejpam-4647	38	10	(	(	PUNCT
ejpam-4647	38	11	3	3	NUM
ejpam-4647	38	12	)	)	PUNCT
ejpam-4647	38	13	therefore	therefore	ADV
ejpam-4647	38	14	;	;	PUNCT
ejpam-4647	38	15	ℓ2dℵ	ℓ2dℵ	PUNCT
ejpam-4647	38	16	will	will	AUX
ejpam-4647	38	17	be	be	AUX
ejpam-4647	38	18	(	(	PUNCT
ejpam-4647	38	19	hs	hs	X
ejpam-4647	38	20	)	)	PUNCT
ejpam-4647	38	21	equipped	equip	VERB
ejpam-4647	38	22	by	by	ADP
ejpam-4647	38	23	the	the	DET
ejpam-4647	38	24	scalar	scalar	ADJ
ejpam-4647	38	25	product	product	NOUN
ejpam-4647	38	26	:	:	PUNCT
ejpam-4647	39	1	[	[	X
ejpam-4647	39	2	σ1	σ1	PROPN
ejpam-4647	39	3	,	,	PUNCT
ejpam-4647	39	4	σ2]dn	σ2]dn	VERB
ejpam-4647	39	5	:	:	PUNCT
ejpam-4647	39	6	=	=	SYM
ejpam-4647	39	7	(	(	PUNCT
ejpam-4647	39	8	σ1	σ1	PROPN
ejpam-4647	39	9	,	,	PUNCT
ejpam-4647	39	10	σ2)dε1ρ	σ2)dε1ρ	PROPN
ejpam-4647	39	11	+	+	CCONJ
ejpam-4647	39	12	(	(	PUNCT
ejpam-4647	39	13	σ1	σ1	PROPN
ejpam-4647	39	14	,	,	PUNCT
ejpam-4647	39	15	σ2)∆r(ε1	σ2)∆r(ε1	PROPN
ejpam-4647	39	16	)	)	PUNCT
ejpam-4647	39	17	(	(	PUNCT
ejpam-4647	39	18	4	4	X
ejpam-4647	39	19	)	)	PUNCT
ejpam-4647	39	20	where	where	SCONJ
ejpam-4647	39	21	(	(	PUNCT
ejpam-4647	39	22	σ1	σ1	PROPN
ejpam-4647	39	23	,	,	PUNCT
ejpam-4647	39	24	σ2)dϖ1ρ	σ2)dϖ1ρ	PROPN
ejpam-4647	39	25	=	=	PROPN
ejpam-4647	39	26	∫	∫	PROPN
ejpam-4647	39	27	ω	ω	PROPN
ejpam-4647	39	28	σ1	σ1	PROPN
ejpam-4647	39	29	(	(	PUNCT
ejpam-4647	39	30	ε1)σ2	ε1)σ2	X
ejpam-4647	39	31	(	(	PUNCT
ejpam-4647	39	32	ε1	ε1	PROPN
ejpam-4647	39	33	)	)	PUNCT
ejpam-4647	39	34	ρ	ρ	PROPN
ejpam-4647	39	35	(	(	PUNCT
ejpam-4647	39	36	ε1	ε1	PROPN
ejpam-4647	39	37	)	)	PUNCT
ejpam-4647	39	38	dε1	dε1	PROPN
ejpam-4647	39	39	(	(	PUNCT
ejpam-4647	39	40	5	5	NUM
ejpam-4647	39	41	)	)	PUNCT
ejpam-4647	39	42	(	(	PUNCT
ejpam-4647	39	43	σ1	σ1	PROPN
ejpam-4647	39	44	,	,	PUNCT
ejpam-4647	39	45	σ2)∆r(ε1	σ2)∆r(ε1	PROPN
ejpam-4647	39	46	)	)	PUNCT
ejpam-4647	39	47	:	:	PUNCT
ejpam-4647	40	1	=	=	PUNCT
ejpam-4647	40	2	i	i	PRON
ejpam-4647	40	3	=	=	PROPN
ejpam-4647	40	4	k∑	k∑	VERB
ejpam-4647	40	5	i=1	i=1	PROPN
ejpam-4647	40	6	mkσ1	mkσ1	PROPN
ejpam-4647	40	7	(	(	PUNCT
ejpam-4647	40	8	υi)σ2	υi)σ2	PROPN
ejpam-4647	40	9	(	(	PUNCT
ejpam-4647	40	10	υi	υi	NOUN
ejpam-4647	40	11	)	)	PUNCT
ejpam-4647	40	12	(	(	PUNCT
ejpam-4647	40	13	6	6	NUM
ejpam-4647	40	14	)	)	PUNCT
ejpam-4647	40	15	the	the	DET
ejpam-4647	40	16	ℓ2dℵ	ℓ2dℵ	X
ejpam-4647	40	17	,	,	PUNCT
ejpam-4647	40	18	has	have	VERB
ejpam-4647	40	19	no	no	DET
ejpam-4647	40	20	singularity	singularity	NOUN
ejpam-4647	40	21	at	at	ADP
ejpam-4647	40	22	the	the	DET
ejpam-4647	40	23	points	point	NOUN
ejpam-4647	40	24	υi	υi	ADV
ejpam-4647	40	25	and	and	CCONJ
ejpam-4647	40	26	now	now	ADV
ejpam-4647	40	27	considered	consider	VERB
ejpam-4647	40	28	the	the	DET
ejpam-4647	40	29	point	point	NOUN
ejpam-4647	40	30	is	be	AUX
ejpam-4647	40	31	located	locate	VERB
ejpam-4647	40	32	inside	inside	ADP
ejpam-4647	40	33	the	the	DET
ejpam-4647	40	34	space	space	NOUN
ejpam-4647	40	35	,	,	PUNCT
ejpam-4647	40	36	therefore	therefore	ADV
ejpam-4647	40	37	;	;	PUNCT
ejpam-4647	40	38	eigenvalue	eigenvalue	NOUN
ejpam-4647	40	39	problem	problem	NOUN
ejpam-4647	40	40	appears	appear	VERB
ejpam-4647	40	41	as	as	ADP
ejpam-4647	40	42	:	:	PUNCT
ejpam-4647	40	43	τϕ	τϕ	PROPN
ejpam-4647	40	44	=	=	SYM
ejpam-4647	40	45	χϕ	χϕ	X
ejpam-4647	40	46	(	(	PUNCT
ejpam-4647	40	47	7	7	NUM
ejpam-4647	40	48	)	)	PUNCT
ejpam-4647	40	49	the	the	DET
ejpam-4647	40	50	term	term	NOUN
ejpam-4647	40	51	τζ	τζ	PROPN
ejpam-4647	40	52	is	be	AUX
ejpam-4647	40	53	called	call	VERB
ejpam-4647	40	54	(	(	PUNCT
ejpam-4647	40	55	cf	cf	NOUN
ejpam-4647	40	56	)	)	PUNCT
ejpam-4647	40	57	,	,	PUNCT
ejpam-4647	40	58	defined	define	VERB
ejpam-4647	40	59	as	as	ADP
ejpam-4647	40	60	:	:	PUNCT
ejpam-4647	40	61	τϕ	τϕ	PROPN
ejpam-4647	41	1	=	=	SYM
ejpam-4647	41	2	∫	∫	PROPN
ejpam-4647	41	3	ω	ω	NUM
ejpam-4647	41	4	i	i	PRON
ejpam-4647	41	5	(	(	PUNCT
ejpam-4647	41	6	.	.	PUNCT
ejpam-4647	41	7	,	,	PUNCT
ejpam-4647	41	8	ε2)ϕ	ε2)ϕ	NOUN
ejpam-4647	41	9	(	(	PUNCT
ejpam-4647	41	10	ε2	ε2	ADJ
ejpam-4647	41	11	)	)	PUNCT
ejpam-4647	41	12	dℵε2	dℵε2	NOUN
ejpam-4647	41	13	(	(	PUNCT
ejpam-4647	41	14	8)	8)	NUM
ejpam-4647	41	15	by	by	ADP
ejpam-4647	41	16	making	make	VERB
ejpam-4647	41	17	use	use	NOUN
ejpam-4647	41	18	of	of	ADP
ejpam-4647	41	19	equation	equation	NOUN
ejpam-4647	41	20	(	(	PUNCT
ejpam-4647	41	21	8)	8)	NUM
ejpam-4647	41	22	and	and	CCONJ
ejpam-4647	41	23	equation	equation	NOUN
ejpam-4647	41	24	(	(	PUNCT
ejpam-4647	41	25	3	3	NUM
ejpam-4647	41	26	)	)	PUNCT
ejpam-4647	41	27	,	,	PUNCT
ejpam-4647	41	28	leads	lead	VERB
ejpam-4647	41	29	to	to	ADP
ejpam-4647	41	30	:	:	PUNCT
ejpam-4647	41	31	(	(	PUNCT
ejpam-4647	41	32	τϕ	τϕ	NOUN
ejpam-4647	41	33	)	)	PUNCT
ejpam-4647	41	34	(	(	PUNCT
ejpam-4647	41	35	ε2	ε2	ADJ
ejpam-4647	41	36	)	)	PUNCT
ejpam-4647	41	37	=	=	SYM
ejpam-4647	42	1	∫	∫	PROPN
ejpam-4647	42	2	ω	ω	NUM
ejpam-4647	42	3	i	i	PRON
ejpam-4647	42	4	(	(	PUNCT
ejpam-4647	42	5	ε1	ε1	PROPN
ejpam-4647	42	6	,	,	PUNCT
ejpam-4647	42	7	ε2)ϕ	ε2)ϕ	NOUN
ejpam-4647	42	8	(	(	PUNCT
ejpam-4647	42	9	ε2	ε2	ADJ
ejpam-4647	42	10	)	)	PUNCT
ejpam-4647	42	11	ρ	ρ	PROPN
ejpam-4647	42	12	(	(	PUNCT
ejpam-4647	42	13	ε2	ε2	ADJ
ejpam-4647	42	14	)	)	PUNCT
ejpam-4647	42	15	dε2	dε2	NOUN
ejpam-4647	43	1	+	+	CCONJ
ejpam-4647	43	2	i	i	PRON
ejpam-4647	43	3	=	=	PROPN
ejpam-4647	43	4	k∑	k∑	PROPN
ejpam-4647	43	5	i=1	i=1	PROPN
ejpam-4647	43	6	nki	nki	PROPN
ejpam-4647	43	7	(	(	PUNCT
ejpam-4647	43	8	ε1	ε1	PROPN
ejpam-4647	43	9	,	,	PUNCT
ejpam-4647	43	10	υi)ϕ	υi)ϕ	PROPN
ejpam-4647	43	11	(	(	PUNCT
ejpam-4647	43	12	υi	υi	NOUN
ejpam-4647	43	13	)	)	PUNCT
ejpam-4647	43	14	(	(	PUNCT
ejpam-4647	43	15	9	9	NUM
ejpam-4647	43	16	)	)	PUNCT
ejpam-4647	43	17	(	(	PUNCT
ejpam-4647	43	18	τϕ	τϕ	NOUN
ejpam-4647	43	19	)	)	PUNCT
ejpam-4647	43	20	(	(	PUNCT
ejpam-4647	43	21	ε2	ε2	ADJ
ejpam-4647	43	22	)	)	PUNCT
ejpam-4647	43	23	=	=	PUNCT
ejpam-4647	43	24	(	(	PUNCT
ejpam-4647	43	25	i	i	PRON
ejpam-4647	43	26	(	(	PUNCT
ejpam-4647	43	27	ε1	ε1	PROPN
ejpam-4647	43	28	,	,	PUNCT
ejpam-4647	43	29	ε2	ε2	PROPN
ejpam-4647	43	30	)	)	PUNCT
ejpam-4647	43	31	,	,	PUNCT
ejpam-4647	43	32	ϕ	ϕ	X
ejpam-4647	43	33	(	(	PUNCT
ejpam-4647	43	34	ε2))dxϖρ	ε2))dxϖρ	PROPN
ejpam-4647	43	35	+	+	CCONJ
ejpam-4647	43	36	(	(	PUNCT
ejpam-4647	43	37	i	i	PRON
ejpam-4647	43	38	(	(	PUNCT
ejpam-4647	43	39	ε1	ε1	PROPN
ejpam-4647	43	40	,	,	PUNCT
ejpam-4647	43	41	ε2	ε2	PROPN
ejpam-4647	43	42	)	)	PUNCT
ejpam-4647	43	43	,	,	PUNCT
ejpam-4647	43	44	ϕ	ϕ	X
ejpam-4647	43	45	(	(	PUNCT
ejpam-4647	43	46	ε2))∆r(ε2	ε2))∆r(ε2	PROPN
ejpam-4647	43	47	)	)	PUNCT
ejpam-4647	43	48	(	(	PUNCT
ejpam-4647	43	49	10	10	NUM
ejpam-4647	43	50	)	)	PUNCT
ejpam-4647	43	51	and	and	CCONJ
ejpam-4647	43	52	so	so	ADV
ejpam-4647	43	53	;	;	PUNCT
ejpam-4647	43	54	[	[	X
ejpam-4647	43	55	τσ1	τσ1	NOUN
ejpam-4647	43	56	,	,	PUNCT
ejpam-4647	43	57	σ2	σ2	NOUN
ejpam-4647	43	58	]	]	X
ejpam-4647	43	59	dℵ	dℵ	PROPN
ejpam-4647	43	60	=	=	SYM
ejpam-4647	43	61	(	(	PUNCT
ejpam-4647	43	62	(	(	PUNCT
ejpam-4647	43	63	τσ1	τσ1	NOUN
ejpam-4647	43	64	)	)	PUNCT
ejpam-4647	43	65	(	(	PUNCT
ejpam-4647	43	66	ε1	ε1	PROPN
ejpam-4647	43	67	)	)	PUNCT
ejpam-4647	43	68	,	,	PUNCT
ejpam-4647	43	69	σ2	σ2	PROPN
ejpam-4647	43	70	(	(	PUNCT
ejpam-4647	43	71	ε1	ε1	PROPN
ejpam-4647	43	72	)	)	PUNCT
ejpam-4647	43	73	)	)	PUNCT
ejpam-4647	44	1	dε1ρ	dε1ρ	PROPN
ejpam-4647	44	2	+	+	CCONJ
ejpam-4647	44	3	(	(	PUNCT
ejpam-4647	44	4	(	(	PUNCT
ejpam-4647	44	5	τσ1	τσ1	NOUN
ejpam-4647	44	6	)	)	PUNCT
ejpam-4647	44	7	(	(	PUNCT
ejpam-4647	44	8	ε1	ε1	PROPN
ejpam-4647	44	9	)	)	PUNCT
ejpam-4647	44	10	,	,	PUNCT
ejpam-4647	44	11	σ2	σ2	PROPN
ejpam-4647	44	12	(	(	PUNCT
ejpam-4647	44	13	ε1))∆r(ε1	ε1))∆r(ε1	PROPN
ejpam-4647	44	14	)	)	PUNCT
ejpam-4647	44	15	(	(	PUNCT
ejpam-4647	44	16	11	11	NUM
ejpam-4647	44	17	)	)	PUNCT
ejpam-4647	45	1	[	[	X
ejpam-4647	45	2	τσ1	τσ1	NOUN
ejpam-4647	45	3	,	,	PUNCT
ejpam-4647	45	4	σ2	σ2	NOUN
ejpam-4647	45	5	]	]	X
ejpam-4647	45	6	dℵ	dℵ	PROPN
ejpam-4647	45	7	=	=	PUNCT
ejpam-4647	45	8	(	(	PUNCT
ejpam-4647	45	9	(	(	PUNCT
ejpam-4647	45	10	i	i	PRON
ejpam-4647	45	11	(	(	PUNCT
ejpam-4647	45	12	ε1	ε1	PROPN
ejpam-4647	45	13	,	,	PUNCT
ejpam-4647	45	14	ε2)σ1	ε2)σ1	X
ejpam-4647	45	15	(	(	PUNCT
ejpam-4647	45	16	ε2	ε2	NOUN
ejpam-4647	45	17	)	)	PUNCT
ejpam-4647	45	18	)	)	PUNCT
ejpam-4647	45	19	dε2ρ	dε2ρ	PROPN
ejpam-4647	45	20	+	+	CCONJ
ejpam-4647	45	21	(	(	PUNCT
ejpam-4647	45	22	(	(	PUNCT
ejpam-4647	45	23	i	i	PRON
ejpam-4647	45	24	(	(	PUNCT
ejpam-4647	45	25	ε1	ε1	PROPN
ejpam-4647	45	26	,	,	PUNCT
ejpam-4647	45	27	ε2)σ1	ε2)σ1	PROPN
ejpam-4647	45	28	(	(	PUNCT
ejpam-4647	45	29	ε2))∆r(x2	ε2))∆r(x2	NOUN
ejpam-4647	45	30	)	)	PUNCT
ejpam-4647	45	31	,	,	PUNCT
ejpam-4647	45	32	σ2	σ2	PROPN
ejpam-4647	45	33	(	(	PUNCT
ejpam-4647	45	34	ε1	ε1	PROPN
ejpam-4647	45	35	)	)	PUNCT
ejpam-4647	45	36	)	)	PUNCT
ejpam-4647	45	37	)	)	PUNCT
ejpam-4647	46	1	dε1ρ	dε1ρ	PROPN
ejpam-4647	46	2	l.	l.	PROPN
ejpam-4647	46	3	h.	h.	PROPN
ejpam-4647	46	4	al	al	PROPN
ejpam-4647	46	5	-	-	PROPN
ejpam-4647	46	6	taee	taee	PROPN
ejpam-4647	46	7	,	,	PUNCT
ejpam-4647	46	8	a.	a.	NOUN
ejpam-4647	46	9	a.	a.	NOUN
ejpam-4647	46	10	m.	m.	NOUN
ejpam-4647	46	11	fawze	fawze	ADV
ejpam-4647	46	12	/	/	SYM
ejpam-4647	46	13	eur	eur	PROPN
ejpam-4647	46	14	.	.	PUNCT
ejpam-4647	47	1	j.	j.	PROPN
ejpam-4647	47	2	pure	pure	PROPN
ejpam-4647	47	3	appl	appl	PROPN
ejpam-4647	47	4	.	.	PROPN
ejpam-4647	47	5	math	math	PROPN
ejpam-4647	47	6	,	,	PUNCT
ejpam-4647	47	7	16	16	NUM
ejpam-4647	47	8	(	(	PUNCT
ejpam-4647	47	9	1	1	NUM
ejpam-4647	47	10	)	)	PUNCT
ejpam-4647	47	11	(	(	PUNCT
ejpam-4647	47	12	2023	2023	NUM
ejpam-4647	47	13	)	)	PUNCT
ejpam-4647	47	14	,	,	PUNCT
ejpam-4647	47	15	304	304	NUM
ejpam-4647	47	16	-	-	SYM
ejpam-4647	47	17	313	313	NUM
ejpam-4647	47	18	307	307	NUM
ejpam-4647	47	19	+	+	CCONJ
ejpam-4647	47	20	(	(	PUNCT
ejpam-4647	47	21	(	(	PUNCT
ejpam-4647	47	22	i	i	PRON
ejpam-4647	47	23	(	(	PUNCT
ejpam-4647	47	24	ε1	ε1	PROPN
ejpam-4647	47	25	,	,	PUNCT
ejpam-4647	47	26	ε2)σ1	ε2)σ1	X
ejpam-4647	47	27	(	(	PUNCT
ejpam-4647	47	28	ε2	ε2	NOUN
ejpam-4647	47	29	)	)	PUNCT
ejpam-4647	47	30	)	)	PUNCT
ejpam-4647	47	31	dε2ρ	dε2ρ	PROPN
ejpam-4647	48	1	+	+	CCONJ
ejpam-4647	48	2	(	(	PUNCT
ejpam-4647	48	3	(	(	PUNCT
ejpam-4647	48	4	i	i	PRON
ejpam-4647	48	5	(	(	PUNCT
ejpam-4647	48	6	ε1	ε1	PROPN
ejpam-4647	48	7	,	,	PUNCT
ejpam-4647	48	8	ε2)σ1	ε2)σ1	PROPN
ejpam-4647	48	9	(	(	PUNCT
ejpam-4647	48	10	ε2))∆r(x2	ε2))∆r(x2	NOUN
ejpam-4647	48	11	)	)	PUNCT
ejpam-4647	48	12	,	,	PUNCT
ejpam-4647	48	13	σ2	σ2	PROPN
ejpam-4647	48	14	(	(	PUNCT
ejpam-4647	48	15	ε1	ε1	PROPN
ejpam-4647	48	16	)	)	PUNCT
ejpam-4647	48	17	)	)	PUNCT
ejpam-4647	48	18	)	)	PUNCT
ejpam-4647	48	19	∆r(ϖ1	∆r(ϖ1	VERB
ejpam-4647	48	20	)	)	PUNCT
ejpam-4647	48	21	(	(	PUNCT
ejpam-4647	48	22	12	12	NUM
ejpam-4647	48	23	)	)	PUNCT
ejpam-4647	48	24	by	by	ADP
ejpam-4647	48	25	making	make	VERB
ejpam-4647	48	26	use	use	NOUN
ejpam-4647	48	27	of	of	ADP
ejpam-4647	48	28	the	the	DET
ejpam-4647	48	29	kernel	kernel	PROPN
ejpam-4647	48	30	symmetry	symmetry	PROPN
ejpam-4647	48	31	,	,	PUNCT
ejpam-4647	48	32	one	one	PRON
ejpam-4647	48	33	can	can	AUX
ejpam-4647	48	34	get	get	VERB
ejpam-4647	48	35	:	:	PUNCT
ejpam-4647	48	36	(	(	PUNCT
ejpam-4647	48	37	(	(	PUNCT
ejpam-4647	48	38	i	i	PRON
ejpam-4647	48	39	(	(	PUNCT
ejpam-4647	48	40	ε1	ε1	PROPN
ejpam-4647	48	41	,	,	PUNCT
ejpam-4647	48	42	ε2)σ1	ε2)σ1	PROPN
ejpam-4647	48	43	(	(	PUNCT
ejpam-4647	48	44	ε2))∆r(x2	ε2))∆r(x2	NOUN
ejpam-4647	48	45	)	)	PUNCT
ejpam-4647	48	46	,	,	PUNCT
ejpam-4647	48	47	σ2	σ2	PROPN
ejpam-4647	48	48	(	(	PUNCT
ejpam-4647	48	49	ε1	ε1	PROPN
ejpam-4647	48	50	)	)	PUNCT
ejpam-4647	48	51	)	)	PUNCT
ejpam-4647	49	1	∆r(x1	∆r(x1	X
ejpam-4647	49	2	)	)	PUNCT
ejpam-4647	50	1	=	=	PUNCT
ejpam-4647	50	2	i	i	PRON
ejpam-4647	50	3	=	=	PROPN
ejpam-4647	50	4	k∑	k∑	VERB
ejpam-4647	50	5	i=1	i=1	PROPN
ejpam-4647	51	1	l	l	PROPN
ejpam-4647	51	2	=	=	PROPN
ejpam-4647	51	3	k∑	k∑	ADJ
ejpam-4647	51	4	l=1	l=1	PROPN
ejpam-4647	51	5	ninli	ninli	NOUN
ejpam-4647	51	6	(	(	PUNCT
ejpam-4647	51	7	mi	mi	PROPN
ejpam-4647	51	8	,	,	PUNCT
ejpam-4647	51	9	ml)σ1	ml)σ1	PROPN
ejpam-4647	51	10	(	(	PUNCT
ejpam-4647	51	11	mi)σ2	mi)σ2	NOUN
ejpam-4647	51	12	(	(	PUNCT
ejpam-4647	51	13	ml	ml	NOUN
ejpam-4647	51	14	)	)	PUNCT
ejpam-4647	51	15	(	(	PUNCT
ejpam-4647	51	16	13	13	NUM
ejpam-4647	51	17	)	)	SYM
ejpam-4647	51	18	3	3	NUM
ejpam-4647	51	19	.	.	PUNCT
ejpam-4647	51	20	inverse	inverse	PROPN
ejpam-4647	51	21	iterative	iterative	PROPN
ejpam-4647	51	22	numerical	numerical	PROPN
ejpam-4647	51	23	scheme	scheme	NOUN
ejpam-4647	51	24	(	(	PUNCT
ejpam-4647	51	25	iins	iin	NOUN
ejpam-4647	51	26	)	)	PUNCT
ejpam-4647	51	27	the	the	DET
ejpam-4647	51	28	kernel	kernel	NOUN
ejpam-4647	51	29	i	i	PRON
ejpam-4647	51	30	(	(	PUNCT
ejpam-4647	51	31	ε1	ε1	PROPN
ejpam-4647	51	32	,	,	PUNCT
ejpam-4647	51	33	ε2	ε2	NOUN
ejpam-4647	51	34	)	)	PUNCT
ejpam-4647	51	35	is	be	AUX
ejpam-4647	51	36	assumed	assume	VERB
ejpam-4647	51	37	to	to	PART
ejpam-4647	51	38	be	be	AUX
ejpam-4647	51	39	continuous	continuous	ADJ
ejpam-4647	51	40	function	function	NOUN
ejpam-4647	51	41	,	,	PUNCT
ejpam-4647	51	42	over	over	ADP
ejpam-4647	51	43	a	a	DET
ejpam-4647	51	44	square	square	NOUN
ejpam-4647	51	45	of	of	ADP
ejpam-4647	51	46	unit	unit	NOUN
ejpam-4647	51	47	length	length	NOUN
ejpam-4647	51	48	in	in	ADP
ejpam-4647	51	49	the	the	DET
ejpam-4647	51	50	positive	positive	ADJ
ejpam-4647	51	51	and	and	CCONJ
ejpam-4647	51	52	first	first	ADJ
ejpam-4647	51	53	quadrant	quadrant	NOUN
ejpam-4647	51	54	,	,	PUNCT
ejpam-4647	51	55	real	real	ADJ
ejpam-4647	51	56	,	,	PUNCT
ejpam-4647	51	57	symmetric	symmetric	ADJ
ejpam-4647	51	58	,	,	PUNCT
ejpam-4647	51	59	and	and	CCONJ
ejpam-4647	51	60	regular	regular	ADJ
ejpam-4647	51	61	additional	additional	ADJ
ejpam-4647	51	62	assumptions	assumption	NOUN
ejpam-4647	51	63	to	to	ADP
ejpam-4647	51	64	eigenvalues	eigenvalue	NOUN
ejpam-4647	51	65	,	,	PUNCT
ejpam-4647	51	66	they	they	PRON
ejpam-4647	51	67	are	be	AUX
ejpam-4647	51	68	real	real	ADJ
ejpam-4647	51	69	and	and	CCONJ
ejpam-4647	51	70	positive	positive	ADJ
ejpam-4647	51	71	.	.	PUNCT
ejpam-4647	52	1	assuming	assume	VERB
ejpam-4647	52	2	eigenvalues	eigenvalue	NOUN
ejpam-4647	52	3	defined	define	VERB
ejpam-4647	52	4	as	as	ADP
ejpam-4647	52	5	:	:	PUNCT
ejpam-4647	52	6	0	0	NUM
ejpam-4647	53	1	<	<	X
ejpam-4647	53	2	.....	.....	PUNCT
ejpam-4647	53	3	≤	≤	NUM
ejpam-4647	53	4	γ3	γ3	NOUN
ejpam-4647	53	5	≤	≤	NOUN
ejpam-4647	53	6	γ2	γ2	PROPN
ejpam-4647	53	7	≤	≤	PROPN
ejpam-4647	53	8	γ1	γ1	NOUN
ejpam-4647	53	9	now	now	ADV
ejpam-4647	53	10	let	let	VERB
ejpam-4647	53	11	us	we	PRON
ejpam-4647	53	12	consider	consider	VERB
ejpam-4647	53	13	some	some	DET
ejpam-4647	53	14	points	point	NOUN
ejpam-4647	53	15	inside	inside	ADP
ejpam-4647	53	16	the	the	DET
ejpam-4647	53	17	square	square	NOUN
ejpam-4647	53	18	in	in	ADP
ejpam-4647	53	19	the	the	DET
ejpam-4647	53	20	1st	1st	NOUN
ejpam-4647	53	21	and	and	CCONJ
ejpam-4647	53	22	+	+	NOUN
ejpam-4647	53	23	ve	ve	AUX
ejpam-4647	53	24	quadrant	quadrant	VERB
ejpam-4647	53	25	as	as	SCONJ
ejpam-4647	53	26	follows	follow	VERB
ejpam-4647	53	27	:	:	PUNCT
ejpam-4647	53	28	0	0	PUNCT
ejpam-4647	54	1	=	=	NOUN
ejpam-4647	54	2	:	:	PUNCT
ejpam-4647	54	3	υ1	υ1	NOUN
ejpam-4647	54	4	<	<	X
ejpam-4647	54	5	υ2	υ2	PROPN
ejpam-4647	54	6	<	<	X
ejpam-4647	54	7	υ3	υ3	PROPN
ejpam-4647	54	8	<	<	X
ejpam-4647	54	9	.....	.....	PUNCT
ejpam-4647	54	10	υk	υk	NOUN
ejpam-4647	54	11	<	<	X
ejpam-4647	54	12	υk+1	υk+1	X
ejpam-4647	54	13	:	:	PUNCT
ejpam-4647	54	14	=	=	SYM
ejpam-4647	54	15	1	1	NUM
ejpam-4647	54	16	assume	assume	VERB
ejpam-4647	54	17	that	that	SCONJ
ejpam-4647	54	18	in	in	ADP
ejpam-4647	54	19	each	each	DET
ejpam-4647	54	20	interval	interval	NOUN
ejpam-4647	54	21	[	[	X
ejpam-4647	54	22	vi	vi	X
ejpam-4647	54	23	,	,	PUNCT
ejpam-4647	54	24	vi+1	vi+1	PRON
ejpam-4647	54	25	]	]	PUNCT
ejpam-4647	54	26	∋	∋	NOUN
ejpam-4647	54	27	n−	n−	PROPN
ejpam-4647	54	28	nodesof	nodesof	VERB
ejpam-4647	54	29	(	(	PUNCT
ejpam-4647	54	30	mglq	mglq	PROPN
ejpam-4647	54	31	)	)	PUNCT
ejpam-4647	54	32	,	,	PUNCT
ejpam-4647	54	33	as	as	ADP
ejpam-4647	54	34	following	follow	VERB
ejpam-4647	54	35	:	:	PUNCT
ejpam-4647	54	36	ε	ε	PROPN
ejpam-4647	54	37	(	(	PUNCT
ejpam-4647	54	38	i	i	NOUN
ejpam-4647	54	39	)	)	PUNCT
ejpam-4647	54	40	11	11	NUM
ejpam-4647	54	41	,	,	PUNCT
ejpam-4647	54	42	ε	ε	PROPN
ejpam-4647	54	43	(	(	PUNCT
ejpam-4647	54	44	i	i	NOUN
ejpam-4647	54	45	)	)	PUNCT
ejpam-4647	54	46	12	12	NUM
ejpam-4647	54	47	,	,	PUNCT
ejpam-4647	54	48	ε	ε	PROPN
ejpam-4647	54	49	(	(	PUNCT
ejpam-4647	54	50	i	i	NOUN
ejpam-4647	54	51	)	)	PUNCT
ejpam-4647	54	52	13	13	NUM
ejpam-4647	54	53	,	,	PUNCT
ejpam-4647	54	54	.....	.....	PUNCT
ejpam-4647	54	55	,	,	PUNCT
ejpam-4647	54	56	ε	ε	PROPN
ejpam-4647	54	57	(	(	PUNCT
ejpam-4647	54	58	i	i	NOUN
ejpam-4647	54	59	)	)	PUNCT
ejpam-4647	54	60	1n	1n	PROPN
ejpam-4647	54	61	(	(	PUNCT
ejpam-4647	54	62	14	14	NUM
ejpam-4647	54	63	)	)	PUNCT
ejpam-4647	54	64	make	make	VERB
ejpam-4647	54	65	use	use	NOUN
ejpam-4647	54	66	of	of	ADP
ejpam-4647	54	67	equation	equation	NOUN
ejpam-4647	54	68	(	(	PUNCT
ejpam-4647	54	69	14	14	NUM
ejpam-4647	54	70	)	)	PUNCT
ejpam-4647	54	71	over	over	ADP
ejpam-4647	54	72	[	[	X
ejpam-4647	54	73	υk	υk	NOUN
ejpam-4647	54	74	,	,	PUNCT
ejpam-4647	54	75	υk+1	υk+1	VERB
ejpam-4647	54	76	]	]	PUNCT
ejpam-4647	54	77	,	,	PUNCT
ejpam-4647	54	78	leads	lead	VERB
ejpam-4647	54	79	to	to	ADP
ejpam-4647	54	80	:	:	PUNCT
ejpam-4647	54	81	υk	υk	VERB
ejpam-4647	54	82	:	:	PUNCT
ejpam-4647	54	83	=	=	SYM
ejpam-4647	54	84	ε	ε	PROPN
ejpam-4647	54	85	(	(	PUNCT
ejpam-4647	54	86	i	i	NOUN
ejpam-4647	54	87	)	)	PUNCT
ejpam-4647	54	88	10	10	NUM
ejpam-4647	54	89	<	<	X
ejpam-4647	54	90	ε	ε	PROPN
ejpam-4647	54	91	(	(	PUNCT
ejpam-4647	54	92	i	i	NOUN
ejpam-4647	54	93	)	)	PUNCT
ejpam-4647	54	94	11	11	NUM
ejpam-4647	54	95	<	<	X
ejpam-4647	54	96	ε	ε	PROPN
ejpam-4647	54	97	(	(	PUNCT
ejpam-4647	54	98	i	i	NOUN
ejpam-4647	54	99	)	)	PUNCT
ejpam-4647	54	100	12	12	NUM
ejpam-4647	54	101	<	<	X
ejpam-4647	54	102	.....	.....	PUNCT
ejpam-4647	54	103	<	<	X
ejpam-4647	54	104	ε	ε	PROPN
ejpam-4647	54	105	(	(	PUNCT
ejpam-4647	54	106	i	i	NOUN
ejpam-4647	54	107	)	)	PUNCT
ejpam-4647	54	108	1n	1n	PROPN
ejpam-4647	54	109	<	<	X
ejpam-4647	54	110	ε	ε	PROPN
ejpam-4647	54	111	(	(	PUNCT
ejpam-4647	54	112	i	i	NOUN
ejpam-4647	54	113	)	)	PUNCT
ejpam-4647	54	114	1n+1	1n+1	PROPN
ejpam-4647	54	115	:	:	PUNCT
ejpam-4647	54	116	=	=	SYM
ejpam-4647	54	117	υi+1	υi+1	PROPN
ejpam-4647	54	118	,	,	PUNCT
ejpam-4647	54	119	0	0	NUM
ejpam-4647	54	120	≤	≤	NUM
ejpam-4647	54	121	i	i	PRON
ejpam-4647	54	122	≤	≤	NOUN
ejpam-4647	54	123	k	k	X
ejpam-4647	54	124	(	(	PUNCT
ejpam-4647	54	125	15	15	NUM
ejpam-4647	54	126	)	)	PUNCT
ejpam-4647	54	127	there	there	PRON
ejpam-4647	54	128	exists	exist	VERB
ejpam-4647	54	129	corresponding	corresponding	ADJ
ejpam-4647	54	130	points	point	NOUN
ejpam-4647	54	131	over	over	ADP
ejpam-4647	54	132	vertical	vertical	ADJ
ejpam-4647	54	133	axis	axis	NOUN
ejpam-4647	54	134	,	,	PUNCT
ejpam-4647	54	135	defined	define	VERB
ejpam-4647	54	136	as	as	ADP
ejpam-4647	54	137	:	:	PUNCT
ejpam-4647	54	138	υl	υl	NUM
ejpam-4647	54	139	:	:	PUNCT
ejpam-4647	54	140	=	=	SYM
ejpam-4647	54	141	y	y	PROPN
ejpam-4647	54	142	(	(	PUNCT
ejpam-4647	54	143	l	l	NOUN
ejpam-4647	54	144	)	)	PUNCT
ejpam-4647	54	145	10	10	NUM
ejpam-4647	54	146	<	<	X
ejpam-4647	54	147	y	y	PROPN
ejpam-4647	54	148	(	(	PUNCT
ejpam-4647	54	149	l	l	NOUN
ejpam-4647	54	150	)	)	PUNCT
ejpam-4647	54	151	11	11	NUM
ejpam-4647	54	152	<	<	X
ejpam-4647	54	153	y	y	PROPN
ejpam-4647	54	154	(	(	PUNCT
ejpam-4647	54	155	l	l	NOUN
ejpam-4647	54	156	)	)	PUNCT
ejpam-4647	54	157	12	12	NUM
ejpam-4647	54	158	<	<	X
ejpam-4647	54	159	.....	.....	PUNCT
ejpam-4647	55	1	<	<	X
ejpam-4647	55	2	y	y	PROPN
ejpam-4647	55	3	(	(	PUNCT
ejpam-4647	55	4	l	l	NOUN
ejpam-4647	55	5	)	)	PUNCT
ejpam-4647	55	6	1n	1n	NOUN
ejpam-4647	55	7	<	<	X
ejpam-4647	55	8	y	y	PROPN
ejpam-4647	55	9	(	(	PUNCT
ejpam-4647	55	10	l	l	NOUN
ejpam-4647	55	11	)	)	PUNCT
ejpam-4647	55	12	1n+1	1n+1	NOUN
ejpam-4647	55	13	:	:	PUNCT
ejpam-4647	55	14	=	=	SYM
ejpam-4647	55	15	υl+1	υl+1	PROPN
ejpam-4647	55	16	,	,	PUNCT
ejpam-4647	55	17	0	0	NUM
ejpam-4647	55	18	≤	≤	NUM
ejpam-4647	55	19	l	l	NOUN
ejpam-4647	55	20	≤	≤	PUNCT
ejpam-4647	56	1	k	k	X
ejpam-4647	56	2	(	(	PUNCT
ejpam-4647	56	3	16	16	NUM
ejpam-4647	56	4	)	)	PUNCT
ejpam-4647	56	5	assume	assume	VERB
ejpam-4647	56	6	subinterval	subinterval	NOUN
ejpam-4647	56	7	r	r	NOUN
ejpam-4647	56	8	(	(	PUNCT
ejpam-4647	56	9	k	k	X
ejpam-4647	56	10	,	,	PUNCT
ejpam-4647	56	11	l	l	NOUN
ejpam-4647	56	12	)	)	PUNCT
ejpam-4647	56	13	i.j	i.j	NOUN
ejpam-4647	56	14	as	as	ADP
ejpam-4647	56	15	:	:	PUNCT
ejpam-4647	56	16	r	r	NOUN
ejpam-4647	56	17	(	(	PUNCT
ejpam-4647	56	18	k	k	X
ejpam-4647	56	19	,	,	PUNCT
ejpam-4647	56	20	l	l	NOUN
ejpam-4647	56	21	)	)	PUNCT
ejpam-4647	56	22	i.j	i.j	NOUN
ejpam-4647	56	23	:	:	PUNCT
ejpam-4647	56	24	=	=	SYM
ejpam-4647	56	25	{	{	PUNCT
ejpam-4647	56	26	(	(	PUNCT
ejpam-4647	56	27	ε1	ε1	PROPN
ejpam-4647	56	28	,	,	PUNCT
ejpam-4647	56	29	ε2	ε2	ADJ
ejpam-4647	56	30	)	)	PUNCT
ejpam-4647	56	31	∣∣∣ε1(k)i	∣∣∣ε1(k)i	PROPN
ejpam-4647	56	32	<	<	X
ejpam-4647	56	33	ε1	ε1	VERB
ejpam-4647	56	34	<	<	X
ejpam-4647	56	35	ε1	ε1	PROPN
ejpam-4647	56	36	(	(	PUNCT
ejpam-4647	56	37	k	k	NOUN
ejpam-4647	56	38	)	)	PUNCT
ejpam-4647	56	39	i+1	i+1	NUM
ejpam-4647	56	40	;	;	PUNCT
ejpam-4647	56	41	∣∣∣y1(l)j	∣∣∣y1(l)j	VERB
ejpam-4647	56	42	<	<	X
ejpam-4647	56	43	y1	y1	NOUN
ejpam-4647	56	44	<	<	X
ejpam-4647	56	45	y1	y1	INTJ
ejpam-4647	56	46	(	(	PUNCT
ejpam-4647	56	47	l	l	NOUN
ejpam-4647	56	48	)	)	PUNCT
ejpam-4647	57	1	j+1	j+1	PROPN
ejpam-4647	57	2	}	}	PUNCT
ejpam-4647	57	3	i	i	PRON
ejpam-4647	57	4	,	,	PUNCT
ejpam-4647	57	5	j	j	PROPN
ejpam-4647	57	6	=	=	SYM
ejpam-4647	57	7	1	1	NUM
ejpam-4647	57	8	,	,	PUNCT
ejpam-4647	57	9	2	2	NUM
ejpam-4647	57	10	,	,	PUNCT
ejpam-4647	57	11	...	...	PUNCT
ejpam-4647	57	12	&	&	CCONJ
ejpam-4647	57	13	k	k	NOUN
ejpam-4647	57	14	,	,	PUNCT
ejpam-4647	57	15	l	l	NOUN
ejpam-4647	57	16	=	=	SYM
ejpam-4647	57	17	0	0	NUM
ejpam-4647	57	18	,	,	PUNCT
ejpam-4647	57	19	1	1	NUM
ejpam-4647	57	20	,	,	PUNCT
ejpam-4647	57	21	2	2	NUM
ejpam-4647	57	22	,	,	PUNCT
ejpam-4647	57	23	....	....	PUNCT
ejpam-4647	57	24	,	,	PUNCT
ejpam-4647	57	25	(	(	PUNCT
ejpam-4647	57	26	17	17	NUM
ejpam-4647	57	27	)	)	PUNCT
ejpam-4647	57	28	defining	define	VERB
ejpam-4647	57	29	r̂	r̂	NOUN
ejpam-4647	57	30	(	(	PUNCT
ejpam-4647	57	31	k	k	X
ejpam-4647	57	32	,	,	PUNCT
ejpam-4647	57	33	l	l	NOUN
ejpam-4647	57	34	)	)	PUNCT
ejpam-4647	57	35	i.j	i.j	NOUN
ejpam-4647	57	36	within	within	ADP
ejpam-4647	57	37	ℜ(k	ℜ(k	NOUN
ejpam-4647	57	38	,	,	PUNCT
ejpam-4647	57	39	l	l	NOUN
ejpam-4647	57	40	)	)	PUNCT
ejpam-4647	57	41	i.j	i.j	NOUN
ejpam-4647	57	42	and	and	CCONJ
ejpam-4647	57	43	ℜ−(k	ℜ−(k	NOUN
ejpam-4647	57	44	,	,	PUNCT
ejpam-4647	57	45	l	l	NOUN
ejpam-4647	57	46	)	)	PUNCT
ejpam-4647	58	1	i.j	i.j	NOUN
ejpam-4647	58	2	containing	contain	VERB
ejpam-4647	58	3	singular	singular	ADJ
ejpam-4647	58	4	point	point	NOUN
ejpam-4647	58	5	for	for	ADP
ejpam-4647	58	6	ℑ	ℑ	PROPN
ejpam-4647	58	7	(	(	PUNCT
ejpam-4647	58	8	ζ1	ζ1	NOUN
ejpam-4647	58	9	,	,	PUNCT
ejpam-4647	58	10	ζ2	ζ2	NOUN
ejpam-4647	58	11	)	)	PUNCT
ejpam-4647	58	12	,	,	PUNCT
ejpam-4647	58	13	therefore	therefore	ADV
ejpam-4647	58	14	;	;	PUNCT
ejpam-4647	58	15	j	j	PROPN
ejpam-4647	58	16	(	(	PUNCT
ejpam-4647	58	17	ε1	ε1	PROPN
ejpam-4647	58	18	,	,	PUNCT
ejpam-4647	58	19	ε2	ε2	ADJ
ejpam-4647	58	20	)	)	PUNCT
ejpam-4647	58	21	=	=	PRON
ejpam-4647	58	22	{	{	PUNCT
ejpam-4647	58	23	j	j	PROPN
ejpam-4647	58	24	(	(	PUNCT
ejpam-4647	58	25	ε1	ε1	PROPN
ejpam-4647	58	26	,	,	PUNCT
ejpam-4647	58	27	ε2j	ε2j	X
ejpam-4647	58	28	)	)	PUNCT
ejpam-4647	58	29	when	when	SCONJ
ejpam-4647	58	30	(	(	PUNCT
ejpam-4647	58	31	ε1	ε1	PROPN
ejpam-4647	58	32	,	,	PUNCT
ejpam-4647	58	33	ε2	ε2	ADJ
ejpam-4647	58	34	)	)	PUNCT
ejpam-4647	58	35	∈	∈	PROPN
ejpam-4647	58	36	r	r	NOUN
ejpam-4647	58	37	(	(	PUNCT
ejpam-4647	58	38	k	k	X
ejpam-4647	58	39	,	,	PUNCT
ejpam-4647	58	40	l	l	NOUN
ejpam-4647	58	41	)	)	PUNCT
ejpam-4647	58	42	i.j	i.j	PROPN
ejpam-4647	58	43	ℵi	ℵi	PROPN
ejpam-4647	58	44	,	,	PUNCT
ejpam-4647	58	45	j	j	PROPN
ejpam-4647	58	46	when	when	SCONJ
ejpam-4647	58	47	(	(	PUNCT
ejpam-4647	58	48	ε1	ε1	PROPN
ejpam-4647	58	49	,	,	PUNCT
ejpam-4647	58	50	ε2	ε2	ADJ
ejpam-4647	58	51	)	)	PUNCT
ejpam-4647	58	52	∈	∈	PROPN
ejpam-4647	58	53	r̂	r̂	NOUN
ejpam-4647	58	54	(	(	PUNCT
ejpam-4647	58	55	k	k	X
ejpam-4647	58	56	,	,	PUNCT
ejpam-4647	58	57	l	l	NOUN
ejpam-4647	58	58	)	)	PUNCT
ejpam-4647	58	59	i.j	i.j	NOUN
ejpam-4647	58	60	(	(	PUNCT
ejpam-4647	58	61	18	18	NUM
ejpam-4647	58	62	)	)	PUNCT
ejpam-4647	58	63	l.	l.	PROPN
ejpam-4647	58	64	h.	h.	PROPN
ejpam-4647	58	65	al	al	PROPN
ejpam-4647	58	66	-	-	PUNCT
ejpam-4647	58	67	taee	taee	PROPN
ejpam-4647	58	68	,	,	PUNCT
ejpam-4647	58	69	a.	a.	NOUN
ejpam-4647	58	70	a.	a.	NOUN
ejpam-4647	58	71	m.	m.	NOUN
ejpam-4647	58	72	fawze	fawze	ADV
ejpam-4647	58	73	/	/	SYM
ejpam-4647	58	74	eur	eur	PROPN
ejpam-4647	58	75	.	.	PUNCT
ejpam-4647	59	1	j.	j.	PROPN
ejpam-4647	59	2	pure	pure	PROPN
ejpam-4647	59	3	appl	appl	PROPN
ejpam-4647	59	4	.	.	PROPN
ejpam-4647	59	5	math	math	PROPN
ejpam-4647	59	6	,	,	PUNCT
ejpam-4647	59	7	16	16	NUM
ejpam-4647	59	8	(	(	PUNCT
ejpam-4647	59	9	1	1	NUM
ejpam-4647	59	10	)	)	PUNCT
ejpam-4647	59	11	(	(	PUNCT
ejpam-4647	59	12	2023	2023	NUM
ejpam-4647	59	13	)	)	PUNCT
ejpam-4647	59	14	,	,	PUNCT
ejpam-4647	59	15	304	304	NUM
ejpam-4647	59	16	-	-	SYM
ejpam-4647	59	17	313	313	NUM
ejpam-4647	59	18	308	308	NUM
ejpam-4647	59	19	the	the	DET
ejpam-4647	59	20	ℵi	ℵi	PROPN
ejpam-4647	59	21	,	,	PUNCT
ejpam-4647	59	22	j	j	PROPN
ejpam-4647	59	23	,	,	PUNCT
ejpam-4647	59	24	are	be	AUX
ejpam-4647	59	25	constants	constant	NOUN
ejpam-4647	59	26	satisfying	satisfy	VERB
ejpam-4647	59	27	the	the	DET
ejpam-4647	59	28	next	next	ADJ
ejpam-4647	59	29	condition	condition	NOUN
ejpam-4647	59	30	:	:	PUNCT
ejpam-4647	59	31	so	so	SCONJ
ejpam-4647	59	32	as	as	SCONJ
ejpam-4647	59	33	the	the	DET
ejpam-4647	59	34	norm	norm	NOUN
ejpam-4647	59	35	defined	define	VERB
ejpam-4647	59	36	by	by	ADP
ejpam-4647	59	37	equation	equation	NOUN
ejpam-4647	59	38	(	(	PUNCT
ejpam-4647	59	39	19	19	NUM
ejpam-4647	59	40	)	)	PUNCT
ejpam-4647	59	41	,	,	PUNCT
ejpam-4647	59	42	to	to	ADP
ejpam-4647	59	43	<	<	X
ejpam-4647	59	44	epsilon	epsilon	PROPN
ejpam-4647	59	45	,	,	PUNCT
ejpam-4647	59	46	the	the	DET
ejpam-4647	59	47	next	next	ADJ
ejpam-4647	59	48	inequality	inequality	NOUN
ejpam-4647	59	49	should	should	AUX
ejpam-4647	59	50	be	be	AUX
ejpam-4647	59	51	verified	verify	VERB
ejpam-4647	59	52	:	:	PUNCT
ejpam-4647	59	53	∥∥t	∥∥t	VERB
ejpam-4647	59	54	(	(	PUNCT
ejpam-4647	59	55	ε1	ε1	PROPN
ejpam-4647	59	56	,	,	PUNCT
ejpam-4647	59	57	ε2j)−	ε2j)−	PROPN
ejpam-4647	59	58	j	j	PROPN
ejpam-4647	59	59	(	(	PUNCT
ejpam-4647	59	60	ε1	ε1	PROPN
ejpam-4647	59	61	,	,	PUNCT
ejpam-4647	59	62	ε2	ε2	ADJ
ejpam-4647	59	63	)	)	PUNCT
ejpam-4647	59	64	∥∥	∥∥	X
ejpam-4647	59	65	ℓ2dℵ	ℓ2dℵ	PUNCT
ejpam-4647	59	66	≥	≥	NUM
ejpam-4647	59	67	∣∣λω	∣∣λω	PROPN
ejpam-4647	59	68	−	−	PROPN
ejpam-4647	59	69	λ̄ω	λ̄ω	PROPN
ejpam-4647	59	70	∣∣	∣∣	NUM
ejpam-4647	59	71	(	(	PUNCT
ejpam-4647	59	72	19	19	NUM
ejpam-4647	59	73	)	)	PUNCT
ejpam-4647	59	74	λω	λω	VERB
ejpam-4647	59	75	represents	represent	VERB
ejpam-4647	59	76	the	the	DET
ejpam-4647	59	77	exact	exact	ADJ
ejpam-4647	59	78	eigenvalues	eigenvalue	NOUN
ejpam-4647	59	79	,	,	PUNCT
ejpam-4647	59	80	while	while	SCONJ
ejpam-4647	59	81	λω	λω	ADV
ejpam-4647	59	82	represents	represent	VERB
ejpam-4647	59	83	the	the	DET
ejpam-4647	59	84	approximate	approximate	ADJ
ejpam-4647	59	85	values	value	NOUN
ejpam-4647	59	86	.	.	PUNCT
ejpam-4647	60	1	4	4	X
ejpam-4647	60	2	.	.	X
ejpam-4647	60	3	results	result	NOUN
ejpam-4647	60	4	&	&	CCONJ
ejpam-4647	60	5	discussion	discussion	NOUN
ejpam-4647	60	6	considering	consider	VERB
ejpam-4647	60	7	the	the	DET
ejpam-4647	60	8	following	follow	VERB
ejpam-4647	60	9	kernel	kernel	NOUN
ejpam-4647	60	10	:	:	PUNCT
ejpam-4647	60	11	i	i	PRON
ejpam-4647	60	12	(	(	PUNCT
ejpam-4647	60	13	ε1i	ε1i	PROPN
ejpam-4647	60	14	,	,	PUNCT
ejpam-4647	60	15	ε2j	ε2j	X
ejpam-4647	60	16	)	)	PUNCT
ejpam-4647	61	1	=	=	PUNCT
ejpam-4647	61	2			PROPN
ejpam-4647	62	1	ε1	ε1	PROPN
ejpam-4647	62	2	(	(	PUNCT
ejpam-4647	62	3	u−	u−	PROPN
ejpam-4647	62	4	ε2	ε2	NOUN
ejpam-4647	62	5	)	)	PUNCT
ejpam-4647	62	6	0	0	NUM
ejpam-4647	62	7	≤	≤	NUM
ejpam-4647	62	8	ε1	ε1	VERB
ejpam-4647	62	9	≤	≤	ADV
ejpam-4647	63	1	1	1	NUM
ejpam-4647	63	2	0	0	NUM
ejpam-4647	63	3	≤	≤	NOUN
ejpam-4647	63	4	ε2	ε2	ADJ
ejpam-4647	63	5	≤	≤	NUM
ejpam-4647	63	6	1	1	NUM
ejpam-4647	63	7	ε1	ε1	VERB
ejpam-4647	63	8	≤	≤	NOUN
ejpam-4647	63	9	ε2	ε2	ADJ
ejpam-4647	63	10	ε2	ε2	PROPN
ejpam-4647	63	11	(	(	PUNCT
ejpam-4647	63	12	u−	u−	PROPN
ejpam-4647	63	13	ε1	ε1	PROPN
ejpam-4647	63	14	)	)	PUNCT
ejpam-4647	63	15	0	0	NUM
ejpam-4647	63	16	≤	≤	NUM
ejpam-4647	63	17	ε1	ε1	VERB
ejpam-4647	63	18	≤	≤	ADV
ejpam-4647	63	19	1	1	NUM
ejpam-4647	63	20	0	0	NUM
ejpam-4647	63	21	≤	≤	NOUN
ejpam-4647	63	22	ε2	ε2	ADJ
ejpam-4647	63	23	≤	≤	NUM
ejpam-4647	63	24	1	1	NUM
ejpam-4647	63	25	ε2	ε2	ADJ
ejpam-4647	63	26	≤	≤	NOUN
ejpam-4647	63	27	ε1	ε1	VERB
ejpam-4647	63	28	and	and	CCONJ
ejpam-4647	63	29	u	u	NOUN
ejpam-4647	63	30	=	=	PROPN
ejpam-4647	63	31	u	u	NOUN
ejpam-4647	63	32	or	or	CCONJ
ejpam-4647	63	33	u	u	NOUN
ejpam-4647	63	34	̸=	̸=	PROPN
ejpam-4647	63	35	u	u	NOUN
ejpam-4647	63	36	assuming	assume	VERB
ejpam-4647	63	37	that	that	SCONJ
ejpam-4647	63	38	:	:	PUNCT
ejpam-4647	64	1	dℵε2	dℵε2	PROPN
ejpam-4647	64	2	=	=	SYM
ejpam-4647	64	3	ρ	ρ	PROPN
ejpam-4647	64	4	(	(	PUNCT
ejpam-4647	64	5	ε2	ε2	ADJ
ejpam-4647	64	6	)	)	PUNCT
ejpam-4647	64	7	dε2	dε2	NOUN
ejpam-4647	64	8	4.1	4.1	NUM
ejpam-4647	64	9	.	.	PUNCT
ejpam-4647	65	1	problem-1	problem-1	NUM
ejpam-4647	65	2	ρ	ρ	PROPN
ejpam-4647	65	3	(	(	PUNCT
ejpam-4647	65	4	ϖ2	ϖ2	NOUN
ejpam-4647	65	5	)	)	PUNCT
ejpam-4647	65	6	=	=	SYM
ejpam-4647	65	7	u+ϖ2	u+ϖ2	NOUN
ejpam-4647	65	8	&	&	CCONJ
ejpam-4647	65	9	u	u	NOUN
ejpam-4647	65	10	=	=	SYM
ejpam-4647	65	11	u	u	NOUN
ejpam-4647	65	12	=	=	PROPN
ejpam-4647	65	13	1	1	NUM
ejpam-4647	65	14	by	by	ADP
ejpam-4647	65	15	following	follow	VERB
ejpam-4647	65	16	up	up	ADP
ejpam-4647	65	17	the	the	DET
ejpam-4647	65	18	procedure	procedure	NOUN
ejpam-4647	65	19	(	(	PUNCT
ejpam-4647	65	20	iins	iin	NOUN
ejpam-4647	65	21	)	)	PUNCT
ejpam-4647	65	22	described	describe	VERB
ejpam-4647	65	23	in	in	ADP
ejpam-4647	65	24	the	the	DET
ejpam-4647	65	25	above	above	ADJ
ejpam-4647	65	26	section	section	NOUN
ejpam-4647	65	27	,	,	PUNCT
ejpam-4647	65	28	and	and	CCONJ
ejpam-4647	65	29	comparing	compare	VERB
ejpam-4647	65	30	the	the	DET
ejpam-4647	65	31	results	result	NOUN
ejpam-4647	65	32	with	with	ADP
ejpam-4647	65	33	(	(	PUNCT
ejpam-4647	65	34	rrm	rrm	PROPN
ejpam-4647	65	35	)	)	PUNCT
ejpam-4647	65	36	,	,	PUNCT
ejpam-4647	65	37	the	the	DET
ejpam-4647	65	38	results	result	NOUN
ejpam-4647	65	39	are	be	AUX
ejpam-4647	65	40	shown	show	VERB
ejpam-4647	65	41	in	in	ADP
ejpam-4647	65	42	table	table	NOUN
ejpam-4647	65	43	(	(	PUNCT
ejpam-4647	65	44	1	1	NUM
ejpam-4647	65	45	)	)	PUNCT
ejpam-4647	65	46	.	.	PUNCT
ejpam-4647	66	1	l.	l.	PROPN
ejpam-4647	66	2	h.	h.	PROPN
ejpam-4647	66	3	al	al	PROPN
ejpam-4647	66	4	-	-	PUNCT
ejpam-4647	66	5	taee	taee	PROPN
ejpam-4647	66	6	,	,	PUNCT
ejpam-4647	66	7	a.	a.	NOUN
ejpam-4647	66	8	a.	a.	NOUN
ejpam-4647	66	9	m.	m.	NOUN
ejpam-4647	66	10	fawze	fawze	ADV
ejpam-4647	66	11	/	/	SYM
ejpam-4647	66	12	eur	eur	PROPN
ejpam-4647	66	13	.	.	PUNCT
ejpam-4647	67	1	j.	j.	PROPN
ejpam-4647	67	2	pure	pure	PROPN
ejpam-4647	67	3	appl	appl	PROPN
ejpam-4647	67	4	.	.	PROPN
ejpam-4647	67	5	math	math	PROPN
ejpam-4647	67	6	,	,	PUNCT
ejpam-4647	67	7	16	16	NUM
ejpam-4647	67	8	(	(	PUNCT
ejpam-4647	67	9	1	1	NUM
ejpam-4647	67	10	)	)	PUNCT
ejpam-4647	67	11	(	(	PUNCT
ejpam-4647	67	12	2023	2023	NUM
ejpam-4647	67	13	)	)	PUNCT
ejpam-4647	67	14	,	,	PUNCT
ejpam-4647	67	15	304	304	NUM
ejpam-4647	67	16	-	-	SYM
ejpam-4647	67	17	313	313	NUM
ejpam-4647	67	18	309	309	NUM
ejpam-4647	67	19	table	table	NOUN
ejpam-4647	67	20	1	1	NUM
ejpam-4647	67	21	:	:	PUNCT
ejpam-4647	67	22	comparison	comparison	NOUN
ejpam-4647	67	23	between	between	ADP
ejpam-4647	67	24	approximate	approximate	ADJ
ejpam-4647	67	25	eigenvalues	eigenvalue	NOUN
ejpam-4647	67	26	eigenvalue	eigenvalue	NOUN
ejpam-4647	67	27	number	number	NOUN
ejpam-4647	67	28	eigenvalues	eigenvalue	VERB
ejpam-4647	67	29	absolute	absolute	ADJ
ejpam-4647	67	30	error	error	NOUN
ejpam-4647	67	31	iins	iin	NOUN
ejpam-4647	67	32	rrm	rrm	PROPN
ejpam-4647	67	33	1	1	NUM
ejpam-4647	67	34	0.15271	0.15271	NUM
ejpam-4647	67	35	0.15265	0.15265	NUM
ejpam-4647	67	36	0.00006	0.00006	NUM
ejpam-4647	67	37	2	2	NUM
ejpam-4647	67	38	0.03779	0.03779	NUM
ejpam-4647	67	39	0.03777	0.03777	NUM
ejpam-4647	67	40	0.00002	0.00002	NUM
ejpam-4647	67	41	3	3	NUM
ejpam-4647	67	42	0.01676	0.01676	NUM
ejpam-4647	67	43	0.01672	0.01672	NUM
ejpam-4647	67	44	0.00004	0.00004	NUM
ejpam-4647	67	45	4	4	NUM
ejpam-4647	67	46	0.00942	0.00942	NUM
ejpam-4647	67	47	0.00940	0.00940	NUM
ejpam-4647	67	48	0.00002	0.00002	NUM
ejpam-4647	67	49	5	5	NUM
ejpam-4647	67	50	0.00603	0.00603	NUM
ejpam-4647	67	51	0.00601	0.00601	NUM
ejpam-4647	67	52	0.00002	0.00002	NUM
ejpam-4647	67	53	6	6	NUM
ejpam-4647	67	54	0.00418	0.00418	NUM
ejpam-4647	67	55	0.00417	0.00417	NUM
ejpam-4647	67	56	0.00001	0.00001	NUM
ejpam-4647	67	57	figure	figure	NOUN
ejpam-4647	67	58	1	1	NUM
ejpam-4647	67	59	:	:	PUNCT
ejpam-4647	67	60	comparison	comparison	NOUN
ejpam-4647	67	61	between	between	ADP
ejpam-4647	67	62	iins	iin	NOUN
ejpam-4647	67	63	and	and	CCONJ
ejpam-4647	67	64	rrm	rrm	PROPN
ejpam-4647	67	65	verses	verses	PROPN
ejpam-4647	67	66	eigenvalues	eigenvalue	VERB
ejpam-4647	67	67	for	for	ADP
ejpam-4647	67	68	problem-1	problem-1	PRON
ejpam-4647	67	69	figure	figure	NOUN
ejpam-4647	67	70	2	2	NUM
ejpam-4647	67	71	:	:	PUNCT
ejpam-4647	67	72	absolute	absolute	ADJ
ejpam-4647	67	73	error	error	NOUN
ejpam-4647	67	74	between	between	ADP
ejpam-4647	67	75	iins	iin	NOUN
ejpam-4647	67	76	and	and	CCONJ
ejpam-4647	67	77	rrm	rrm	PROPN
ejpam-4647	67	78	for	for	ADP
ejpam-4647	67	79	problem-1	problem-1	NUM
ejpam-4647	67	80	from	from	ADP
ejpam-4647	67	81	table	table	NOUN
ejpam-4647	67	82	(	(	PUNCT
ejpam-4647	67	83	1	1	NUM
ejpam-4647	67	84	)	)	PUNCT
ejpam-4647	67	85	that	that	SCONJ
ejpam-4647	67	86	there	there	PRON
ejpam-4647	67	87	is	be	VERB
ejpam-4647	67	88	a	a	DET
ejpam-4647	67	89	very	very	ADV
ejpam-4647	67	90	small	small	ADJ
ejpam-4647	67	91	errors	error	NOUN
ejpam-4647	67	92	and	and	CCONJ
ejpam-4647	67	93	can	can	AUX
ejpam-4647	67	94	be	be	AUX
ejpam-4647	67	95	neglected	neglect	VERB
ejpam-4647	67	96	.	.	PUNCT
ejpam-4647	68	1	l.	l.	PROPN
ejpam-4647	68	2	h.	h.	PROPN
ejpam-4647	68	3	al	al	PROPN
ejpam-4647	68	4	-	-	PUNCT
ejpam-4647	68	5	taee	taee	PROPN
ejpam-4647	68	6	,	,	PUNCT
ejpam-4647	68	7	a.	a.	NOUN
ejpam-4647	68	8	a.	a.	NOUN
ejpam-4647	68	9	m.	m.	NOUN
ejpam-4647	68	10	fawze	fawze	ADV
ejpam-4647	68	11	/	/	SYM
ejpam-4647	68	12	eur	eur	PROPN
ejpam-4647	68	13	.	.	PUNCT
ejpam-4647	69	1	j.	j.	PROPN
ejpam-4647	69	2	pure	pure	PROPN
ejpam-4647	69	3	appl	appl	PROPN
ejpam-4647	69	4	.	.	PROPN
ejpam-4647	69	5	math	math	PROPN
ejpam-4647	69	6	,	,	PUNCT
ejpam-4647	69	7	16	16	NUM
ejpam-4647	69	8	(	(	PUNCT
ejpam-4647	69	9	1	1	NUM
ejpam-4647	69	10	)	)	PUNCT
ejpam-4647	69	11	(	(	PUNCT
ejpam-4647	69	12	2023	2023	NUM
ejpam-4647	69	13	)	)	PUNCT
ejpam-4647	69	14	,	,	PUNCT
ejpam-4647	69	15	304	304	NUM
ejpam-4647	69	16	-	-	SYM
ejpam-4647	69	17	313	313	NUM
ejpam-4647	69	18	310	310	NUM
ejpam-4647	69	19	4.2	4.2	NUM
ejpam-4647	69	20	.	.	PUNCT
ejpam-4647	70	1	problem-2	problem-2	NOUN
ejpam-4647	70	2	dℵε2	dℵε2	NOUN
ejpam-4647	70	3	=	=	SYM
ejpam-4647	70	4	ρ	ρ	PROPN
ejpam-4647	70	5	(	(	PUNCT
ejpam-4647	70	6	ε2	ε2	ADJ
ejpam-4647	70	7	)	)	PUNCT
ejpam-4647	70	8	dε2	dε2	NOUN
ejpam-4647	71	1	+	+	CCONJ
ejpam-4647	71	2	4∑	4∑	NOUN
ejpam-4647	71	3	i=1	i=1	PROPN
ejpam-4647	71	4	niδ	niδ	NOUN
ejpam-4647	71	5	(	(	PUNCT
ejpam-4647	71	6	υi	υi	NOUN
ejpam-4647	71	7	)	)	PUNCT
ejpam-4647	71	8	ρ	ρ	PROPN
ejpam-4647	71	9	(	(	PUNCT
ejpam-4647	71	10	ε2	ε2	PROPN
ejpam-4647	71	11	)	)	PUNCT
ejpam-4647	71	12	=	=	PUNCT
ejpam-4647	71	13			NUM
ejpam-4647	71	14	16ε22	16ε22	NUM
ejpam-4647	71	15	−	−	NOUN
ejpam-4647	71	16	4ε2	4ε2	NUM
ejpam-4647	72	1	+	+	CCONJ
ejpam-4647	72	2	0.25	0.25	NUM
ejpam-4647	72	3	,	,	PUNCT
ejpam-4647	72	4	0.00	0.00	NUM
ejpam-4647	72	5	≤	≤	ADV
ejpam-4647	72	6	ε2	ε2	ADJ
ejpam-4647	72	7	≤	≤	NUM
ejpam-4647	72	8	0.25	0.25	NUM
ejpam-4647	72	9	16ε22	16ε22	NUM
ejpam-4647	72	10	−	−	NUM
ejpam-4647	72	11	12ε2	12ε2	NUM
ejpam-4647	72	12	+	+	SYM
ejpam-4647	72	13	02.25	02.25	NUM
ejpam-4647	72	14	,	,	PUNCT
ejpam-4647	72	15	0.25	0.25	NUM
ejpam-4647	72	16	≤	≤	NOUN
ejpam-4647	72	17	ε2	ε2	ADJ
ejpam-4647	72	18	≤	≤	NUM
ejpam-4647	72	19	0.50	0.50	NUM
ejpam-4647	72	20	16ε22	16ε22	NUM
ejpam-4647	72	21	−	−	PROPN
ejpam-4647	72	22	20ε2	20ε2	NUM
ejpam-4647	73	1	+	+	NUM
ejpam-4647	73	2	06.25	06.25	NUM
ejpam-4647	73	3	,	,	PUNCT
ejpam-4647	73	4	0.50	0.50	NUM
ejpam-4647	73	5	≤	≤	ADV
ejpam-4647	73	6	ε2	ε2	ADJ
ejpam-4647	73	7	≤	≤	NUM
ejpam-4647	73	8	0.75	0.75	NUM
ejpam-4647	73	9	16ε22	16ε22	NUM
ejpam-4647	74	1	−	−	PROPN
ejpam-4647	74	2	28ε2	28ε2	NUM
ejpam-4647	75	1	+	+	CCONJ
ejpam-4647	75	2	12.25	12.25	NUM
ejpam-4647	75	3	,	,	PUNCT
ejpam-4647	75	4	0.75	0.75	NUM
ejpam-4647	75	5	≤	≤	NUM
ejpam-4647	75	6	ε2	ε2	ADJ
ejpam-4647	75	7	≤	≤	NUM
ejpam-4647	75	8	1.00	1.00	NUM
ejpam-4647	75	9	vi	vi	NOUN
ejpam-4647	75	10	=	=	NOUN
ejpam-4647	75	11	0.25i−	0.25i−	NOUN
ejpam-4647	75	12	0.125	0.125	NUM
ejpam-4647	75	13	,	,	PUNCT
ejpam-4647	75	14	i	i	PRON
ejpam-4647	75	15	=	=	NOUN
ejpam-4647	75	16	1	1	NUM
ejpam-4647	75	17	,	,	PUNCT
ejpam-4647	75	18	2	2	NUM
ejpam-4647	75	19	,	,	PUNCT
ejpam-4647	75	20	3	3	NUM
ejpam-4647	75	21	,	,	PUNCT
ejpam-4647	75	22	4	4	NUM
ejpam-4647	75	23	&	&	CCONJ
ejpam-4647	75	24	m1	m1	PROPN
ejpam-4647	75	25	=	=	SYM
ejpam-4647	75	26	0.25,m2	0.25,m2	NOUN
ejpam-4647	76	1	=	=	SYM
ejpam-4647	76	2	0.5,m3	0.5,m3	NOUN
ejpam-4647	76	3	=	=	SYM
ejpam-4647	76	4	0.5,m4	0.5,m4	NOUN
ejpam-4647	76	5	=	=	NOUN
ejpam-4647	76	6	0.25	0.25	NUM
ejpam-4647	76	7	table	table	NOUN
ejpam-4647	76	8	2	2	NUM
ejpam-4647	76	9	:	:	PUNCT
ejpam-4647	76	10	comparison	comparison	NOUN
ejpam-4647	76	11	between	between	ADP
ejpam-4647	76	12	approximate	approximate	ADJ
ejpam-4647	76	13	eigenvalues	eigenvalue	NOUN
ejpam-4647	76	14	eigenvalue	eigenvalue	NOUN
ejpam-4647	76	15	number	number	NOUN
ejpam-4647	76	16	eigenvalues	eigenvalue	VERB
ejpam-4647	76	17	absolute	absolute	ADJ
ejpam-4647	76	18	error	error	NOUN
ejpam-4647	76	19	iins	iin	VERB
ejpam-4647	76	20	rrm	rrm	PROPN
ejpam-4647	76	21	1	1	NUM
ejpam-4647	76	22	0.20683	0.20683	NUM
ejpam-4647	76	23	0.20677	0.20677	NUM
ejpam-4647	76	24	0.00006	0.00006	NUM
ejpam-4647	76	25	2	2	NUM
ejpam-4647	76	26	0.05254	0.05254	NUM
ejpam-4647	76	27	0.05252	0.05252	NUM
ejpam-4647	76	28	0.00002	0.00002	NUM
ejpam-4647	76	29	3	3	NUM
ejpam-4647	76	30	0.02004	0.02004	NUM
ejpam-4647	76	31	0.01999	0.01999	NUM
ejpam-4647	76	32	0.00005	0.00005	NUM
ejpam-4647	76	33	4	4	NUM
ejpam-4647	76	34	0.01936	0.01936	NUM
ejpam-4647	76	35	0.01931	0.01931	NUM
ejpam-4647	77	1	0.00005	0.00005	NUM
ejpam-4647	77	2	5	5	NUM
ejpam-4647	77	3	0.00086	0.00086	NUM
ejpam-4647	77	4	0.00084	0.00084	NUM
ejpam-4647	77	5	0.00002	0.00002	NUM
ejpam-4647	77	6	6	6	NUM
ejpam-4647	77	7	0.00085	0.00085	NUM
ejpam-4647	77	8	0.00084	0.00084	NUM
ejpam-4647	77	9	0.00001	0.00001	NUM
ejpam-4647	77	10	figure	figure	NOUN
ejpam-4647	77	11	3	3	NUM
ejpam-4647	77	12	:	:	PUNCT
ejpam-4647	77	13	comparison	comparison	NOUN
ejpam-4647	77	14	between	between	ADP
ejpam-4647	77	15	iins	iin	NOUN
ejpam-4647	77	16	and	and	CCONJ
ejpam-4647	77	17	rrm	rrm	PROPN
ejpam-4647	77	18	verses	verse	NOUN
ejpam-4647	77	19	eigenvalues	eigenvalue	VERB
ejpam-4647	77	20	for	for	ADP
ejpam-4647	77	21	problem-2	problem-2	PROPN
ejpam-4647	77	22	l.	l.	PROPN
ejpam-4647	77	23	h.	h.	PROPN
ejpam-4647	77	24	al	al	PROPN
ejpam-4647	77	25	-	-	PROPN
ejpam-4647	77	26	taee	taee	PROPN
ejpam-4647	77	27	,	,	PUNCT
ejpam-4647	77	28	a.	a.	NOUN
ejpam-4647	77	29	a.	a.	NOUN
ejpam-4647	77	30	m.	m.	NOUN
ejpam-4647	77	31	fawze	fawze	ADV
ejpam-4647	77	32	/	/	SYM
ejpam-4647	77	33	eur	eur	PROPN
ejpam-4647	77	34	.	.	PUNCT
ejpam-4647	78	1	j.	j.	PROPN
ejpam-4647	78	2	pure	pure	PROPN
ejpam-4647	78	3	appl	appl	PROPN
ejpam-4647	78	4	.	.	PROPN
ejpam-4647	78	5	math	math	PROPN
ejpam-4647	78	6	,	,	PUNCT
ejpam-4647	78	7	16	16	NUM
ejpam-4647	78	8	(	(	PUNCT
ejpam-4647	78	9	1	1	NUM
ejpam-4647	78	10	)	)	PUNCT
ejpam-4647	78	11	(	(	PUNCT
ejpam-4647	78	12	2023	2023	NUM
ejpam-4647	78	13	)	)	PUNCT
ejpam-4647	78	14	,	,	PUNCT
ejpam-4647	78	15	304	304	NUM
ejpam-4647	78	16	-	-	SYM
ejpam-4647	78	17	313	313	NUM
ejpam-4647	78	18	311	311	NUM
ejpam-4647	78	19	figure	figure	NOUN
ejpam-4647	78	20	4	4	NUM
ejpam-4647	78	21	:	:	PUNCT
ejpam-4647	78	22	absolute	absolute	ADJ
ejpam-4647	78	23	error	error	NOUN
ejpam-4647	78	24	between	between	ADP
ejpam-4647	78	25	iins	iin	NOUN
ejpam-4647	78	26	and	and	CCONJ
ejpam-4647	78	27	rrm	rrm	PROPN
ejpam-4647	78	28	for	for	ADP
ejpam-4647	78	29	problem-2	problem-2	NUM
ejpam-4647	78	30	5	5	NUM
ejpam-4647	78	31	.	.	PUNCT
ejpam-4647	78	32	conclusion	conclusion	VERB
ejpam-4647	78	33	the	the	DET
ejpam-4647	78	34	topics	topic	NOUN
ejpam-4647	78	35	of	of	ADP
ejpam-4647	78	36	the	the	DET
ejpam-4647	78	37	integral	integral	ADJ
ejpam-4647	78	38	equations	equation	NOUN
ejpam-4647	78	39	are	be	AUX
ejpam-4647	78	40	so	so	ADV
ejpam-4647	78	41	wide	wide	ADJ
ejpam-4647	78	42	of	of	ADP
ejpam-4647	78	43	their	their	PRON
ejpam-4647	78	44	applications	application	NOUN
ejpam-4647	78	45	in	in	ADP
ejpam-4647	78	46	science	science	NOUN
ejpam-4647	78	47	;	;	PUNCT
ejpam-4647	78	48	engineering	engineering	NOUN
ejpam-4647	78	49	and	and	CCONJ
ejpam-4647	78	50	technology	technology	NOUN
ejpam-4647	78	51	,	,	PUNCT
ejpam-4647	78	52	therefore	therefore	ADV
ejpam-4647	78	53	the	the	DET
ejpam-4647	78	54	attention	attention	NOUN
ejpam-4647	78	55	from	from	ADP
ejpam-4647	78	56	researchers	researcher	NOUN
ejpam-4647	78	57	do	do	AUX
ejpam-4647	78	58	not	not	PART
ejpam-4647	78	59	stop	stop	VERB
ejpam-4647	78	60	.	.	PUNCT
ejpam-4647	79	1	the	the	DET
ejpam-4647	79	2	present	present	ADJ
ejpam-4647	79	3	paper	paper	NOUN
ejpam-4647	79	4	,	,	PUNCT
ejpam-4647	79	5	is	be	AUX
ejpam-4647	79	6	just	just	ADV
ejpam-4647	79	7	a	a	DET
ejpam-4647	79	8	step	step	NOUN
ejpam-4647	79	9	of	of	ADP
ejpam-4647	79	10	these	these	DET
ejpam-4647	79	11	trials	trial	NOUN
ejpam-4647	79	12	,	,	PUNCT
ejpam-4647	79	13	in	in	ADP
ejpam-4647	79	14	which	which	PRON
ejpam-4647	79	15	,	,	PUNCT
ejpam-4647	79	16	we	we	PRON
ejpam-4647	79	17	tried	try	VERB
ejpam-4647	79	18	to	to	PART
ejpam-4647	79	19	propose	propose	VERB
ejpam-4647	79	20	a	a	DET
ejpam-4647	79	21	technique	technique	NOUN
ejpam-4647	79	22	based	base	VERB
ejpam-4647	79	23	iterative	iterative	NOUN
ejpam-4647	79	24	numerical	numerical	ADJ
ejpam-4647	79	25	procedure	procedure	NOUN
ejpam-4647	79	26	.	.	PUNCT
ejpam-4647	80	1	as	as	SCONJ
ejpam-4647	80	2	seen	see	VERB
ejpam-4647	80	3	from	from	ADP
ejpam-4647	80	4	the	the	DET
ejpam-4647	80	5	computation	computation	NOUN
ejpam-4647	80	6	,	,	PUNCT
ejpam-4647	80	7	that	that	SCONJ
ejpam-4647	80	8	the	the	DET
ejpam-4647	80	9	error	error	NOUN
ejpam-4647	80	10	is	be	AUX
ejpam-4647	80	11	very	very	ADV
ejpam-4647	80	12	small	small	ADJ
ejpam-4647	80	13	and	and	CCONJ
ejpam-4647	80	14	can	can	AUX
ejpam-4647	80	15	neglected	neglect	VERB
ejpam-4647	80	16	.	.	PUNCT
ejpam-4647	81	1	abbreviation	abbreviation	NOUN
ejpam-4647	81	2	iins	iin	NOUN
ejpam-4647	81	3	inverse	inverse	NOUN
ejpam-4647	81	4	iterative	iterative	NOUN
ejpam-4647	81	5	numerical	numerical	PROPN
ejpam-4647	81	6	scheme	scheme	PROPN
ejpam-4647	81	7	hs	hs	PROPN
ejpam-4647	81	8	hilbert	hilbert	PROPN
ejpam-4647	81	9	space	space	PROPN
ejpam-4647	81	10	cf	cf	NOUN
ejpam-4647	81	11	compact	compact	ADJ
ejpam-4647	81	12	factor	factor	NOUN
ejpam-4647	81	13	ddf	ddf	PROPN
ejpam-4647	81	14	dirac	dirac	PROPN
ejpam-4647	81	15	-	-	PUNCT
ejpam-4647	81	16	delta	delta	NOUN
ejpam-4647	81	17	function	function	NOUN
ejpam-4647	81	18	cpm	cpm	PROPN
ejpam-4647	81	19	combination	combination	NOUN
ejpam-4647	81	20	of	of	ADP
ejpam-4647	81	21	positive	positive	ADJ
ejpam-4647	81	22	masses	masse	NOUN
ejpam-4647	81	23	mglq	mglq	PROPN
ejpam-4647	81	24	modified	modify	VERB
ejpam-4647	81	25	gauss	gauss	PROPN
ejpam-4647	81	26	-	-	PUNCT
ejpam-4647	81	27	legendre	legendre	PROPN
ejpam-4647	81	28	quadrature	quadrature	NOUN
ejpam-4647	81	29	rule	rule	NOUN
ejpam-4647	81	30	rrm	rrm	PROPN
ejpam-4647	81	31	rayleigh	rayleigh	PROPN
ejpam-4647	81	32	-	-	PUNCT
ejpam-4647	81	33	ritz	ritz	PROPN
ejpam-4647	81	34	method	method	NOUN
ejpam-4647	81	35	acknowledgements	acknowledgement	NOUN
ejpam-4647	81	36	this	this	DET
ejpam-4647	81	37	paper	paper	NOUN
ejpam-4647	81	38	was	be	AUX
ejpam-4647	81	39	supported	support	VERB
ejpam-4647	81	40	by	by	ADP
ejpam-4647	81	41	the	the	DET
ejpam-4647	81	42	college	college	NOUN
ejpam-4647	81	43	of	of	ADP
ejpam-4647	81	44	education	education	NOUN
ejpam-4647	81	45	for	for	ADP
ejpam-4647	81	46	pure	pure	ADJ
ejpam-4647	81	47	sciences	science	NOUN
ejpam-4647	81	48	,	,	PUNCT
ejpam-4647	81	49	university	university	NOUN
ejpam-4647	81	50	of	of	ADP
ejpam-4647	81	51	mosul	mosul	PROPN
ejpam-4647	81	52	,	,	PUNCT
ejpam-4647	81	53	iraq	iraq	PROPN
ejpam-4647	81	54	and	and	CCONJ
ejpam-4647	81	55	the	the	DET
ejpam-4647	81	56	college	college	NOUN
ejpam-4647	81	57	of	of	ADP
ejpam-4647	81	58	computer	computer	NOUN
ejpam-4647	81	59	science	science	NOUN
ejpam-4647	81	60	and	and	CCONJ
ejpam-4647	81	61	mathematics	mathematic	NOUN
ejpam-4647	81	62	,	,	PUNCT
ejpam-4647	81	63	university	university	NOUN
ejpam-4647	81	64	of	of	ADP
ejpam-4647	81	65	mosul	mosul	PROPN
ejpam-4647	81	66	,	,	PUNCT
ejpam-4647	81	67	mosul	mosul	PROPN
ejpam-4647	81	68	,	,	PUNCT
ejpam-4647	81	69	iraq	iraq	PROPN
ejpam-4647	81	70	.	.	PUNCT
ejpam-4647	82	1	references	reference	VERB
ejpam-4647	82	2	312	312	NUM
ejpam-4647	82	3	references	reference	NOUN
ejpam-4647	82	4	[	[	X
ejpam-4647	82	5	1	1	NUM
ejpam-4647	82	6	]	]	PUNCT
ejpam-4647	82	7	sg	sg	AUX
ejpam-4647	82	8	ahmed	ahmed	PROPN
ejpam-4647	82	9	.	.	PUNCT
ejpam-4647	83	1	boundary	boundary	ADJ
ejpam-4647	83	2	integral	integral	ADJ
ejpam-4647	83	3	formulation	formulation	NOUN
ejpam-4647	83	4	and	and	CCONJ
ejpam-4647	83	5	mushy	mushy	ADJ
ejpam-4647	83	6	zone	zone	NOUN
ejpam-4647	83	7	model	model	NOUN
ejpam-4647	83	8	for	for	ADP
ejpam-4647	83	9	phase	phase	NOUN
ejpam-4647	83	10	change	change	NOUN
ejpam-4647	83	11	problem	problem	NOUN
ejpam-4647	83	12	.	.	PUNCT
ejpam-4647	84	1	international	international	ADJ
ejpam-4647	84	2	journal	journal	PROPN
ejpam-4647	84	3	of	of	ADP
ejpam-4647	84	4	numerical	numerical	ADJ
ejpam-4647	84	5	methods	method	NOUN
ejpam-4647	84	6	for	for	ADP
ejpam-4647	84	7	heat	heat	NOUN
ejpam-4647	84	8	&	&	CCONJ
ejpam-4647	84	9	fluid	fluid	ADJ
ejpam-4647	84	10	flow	flow	NOUN
ejpam-4647	84	11	,	,	PUNCT
ejpam-4647	84	12	2001	2001	NUM
ejpam-4647	84	13	.	.	PUNCT
ejpam-4647	85	1	publisher	publisher	NOUN
ejpam-4647	85	2	:	:	PUNCT
ejpam-4647	86	1	mcb	mcb	PROPN
ejpam-4647	86	2	up	up	ADP
ejpam-4647	86	3	ltd	ltd	PROPN
ejpam-4647	86	4	.	.	PUNCT
ejpam-4647	87	1	[	[	X
ejpam-4647	87	2	2	2	X
ejpam-4647	87	3	]	]	PUNCT
ejpam-4647	87	4	sg	sg	AUX
ejpam-4647	87	5	ahmed	ahmed	PROPN
ejpam-4647	87	6	.	.	PUNCT
ejpam-4647	88	1	an	an	DET
ejpam-4647	88	2	approximate	approximate	ADJ
ejpam-4647	88	3	method	method	NOUN
ejpam-4647	88	4	for	for	ADP
ejpam-4647	88	5	evaporation	evaporation	NOUN
ejpam-4647	88	6	problem	problem	NOUN
ejpam-4647	88	7	with	with	ADP
ejpam-4647	88	8	mushy	mushy	ADJ
ejpam-4647	88	9	zone	zone	NOUN
ejpam-4647	88	10	.	.	PUNCT
ejpam-4647	89	1	engineering	engineer	VERB
ejpam-4647	89	2	analysis	analysis	NOUN
ejpam-4647	89	3	with	with	ADP
ejpam-4647	89	4	boundary	boundary	ADJ
ejpam-4647	89	5	elements	element	NOUN
ejpam-4647	89	6	,	,	PUNCT
ejpam-4647	89	7	29(2):161–165	29(2):161–165	PROPN
ejpam-4647	89	8	,	,	PUNCT
ejpam-4647	89	9	2005	2005	NUM
ejpam-4647	89	10	.	.	PUNCT
ejpam-4647	90	1	publisher	publisher	NOUN
ejpam-4647	90	2	:	:	PUNCT
ejpam-4647	90	3	elsevier	elsevier	X
ejpam-4647	90	4	.	.	PUNCT
ejpam-4647	91	1	[	[	X
ejpam-4647	91	2	3	3	X
ejpam-4647	91	3	]	]	X
ejpam-4647	91	4	sg	sg	AUX
ejpam-4647	91	5	ahmed	ahmed	PROPN
ejpam-4647	91	6	.	.	PUNCT
ejpam-4647	92	1	a	a	DET
ejpam-4647	92	2	numerical	numerical	ADJ
ejpam-4647	92	3	method	method	NOUN
ejpam-4647	92	4	for	for	ADP
ejpam-4647	92	5	oxygen	oxygen	NOUN
ejpam-4647	92	6	diffusion	diffusion	NOUN
ejpam-4647	92	7	and	and	CCONJ
ejpam-4647	92	8	absorption	absorption	NOUN
ejpam-4647	92	9	in	in	ADP
ejpam-4647	92	10	a	a	DET
ejpam-4647	92	11	sike	sike	ADJ
ejpam-4647	92	12	cell	cell	NOUN
ejpam-4647	92	13	.	.	PUNCT
ejpam-4647	93	1	applied	apply	VERB
ejpam-4647	93	2	mathematics	mathematic	NOUN
ejpam-4647	93	3	and	and	CCONJ
ejpam-4647	93	4	computation	computation	NOUN
ejpam-4647	93	5	,	,	PUNCT
ejpam-4647	93	6	173(1):668–682	173(1):668–682	ADV
ejpam-4647	93	7	,	,	PUNCT
ejpam-4647	93	8	2006	2006	NUM
ejpam-4647	93	9	.	.	PUNCT
ejpam-4647	94	1	publisher	publisher	NOUN
ejpam-4647	94	2	:	:	PUNCT
ejpam-4647	94	3	elsevier	elsevi	ADJ
ejpam-4647	94	4	.	.	PUNCT
ejpam-4647	95	1	[	[	X
ejpam-4647	95	2	4	4	X
ejpam-4647	95	3	]	]	X
ejpam-4647	95	4	sg	sg	X
ejpam-4647	95	5	ahmed	ahmed	PROPN
ejpam-4647	95	6	,	,	PUNCT
ejpam-4647	95	7	m	m	PROPN
ejpam-4647	95	8	saif	saif	PROPN
ejpam-4647	95	9	aldien	aldien	NOUN
ejpam-4647	95	10	,	,	PUNCT
ejpam-4647	95	11	and	and	CCONJ
ejpam-4647	95	12	my	my	PRON
ejpam-4647	95	13	youssef	youssef	PROPN
ejpam-4647	95	14	.	.	PUNCT
ejpam-4647	96	1	a	a	DET
ejpam-4647	96	2	numerical	numerical	ADJ
ejpam-4647	96	3	method	method	NOUN
ejpam-4647	96	4	based	base	VERB
ejpam-4647	96	5	boundary	boundary	ADJ
ejpam-4647	96	6	integral	integral	ADJ
ejpam-4647	96	7	equation	equation	NOUN
ejpam-4647	96	8	to	to	PART
ejpam-4647	96	9	solve	solve	VERB
ejpam-4647	96	10	multiphase	multiphase	NOUN
ejpam-4647	96	11	moving	move	VERB
ejpam-4647	96	12	boundary	boundary	ADJ
ejpam-4647	96	13	problems	problem	NOUN
ejpam-4647	96	14	.	.	PUNCT
ejpam-4647	97	1	british	british	ADJ
ejpam-4647	97	2	journal	journal	PROPN
ejpam-4647	97	3	of	of	ADP
ejpam-4647	97	4	mathematics	mathematics	PROPN
ejpam-4647	97	5	&	&	CCONJ
ejpam-4647	97	6	computer	computer	PROPN
ejpam-4647	97	7	science	science	PROPN
ejpam-4647	97	8	,	,	PUNCT
ejpam-4647	97	9	15(1):1	15(1):1	PROPN
ejpam-4647	97	10	,	,	PUNCT
ejpam-4647	97	11	2016	2016	NUM
ejpam-4647	97	12	.	.	PUNCT
ejpam-4647	98	1	publisher	publisher	NOUN
ejpam-4647	98	2	:	:	PUNCT
ejpam-4647	98	3	sciencedomain	sciencedomain	VERB
ejpam-4647	98	4	international	international	ADJ
ejpam-4647	98	5	.	.	PUNCT
ejpam-4647	99	1	[	[	X
ejpam-4647	99	2	5	5	X
ejpam-4647	99	3	]	]	X
ejpam-4647	99	4	gemma	gemma	PROPN
ejpam-4647	99	5	aiello	aiello	PROPN
ejpam-4647	99	6	.	.	PUNCT
ejpam-4647	99	7	geophysics	geophysic	NOUN
ejpam-4647	99	8	:	:	PUNCT
ejpam-4647	99	9	principles	principle	NOUN
ejpam-4647	99	10	,	,	PUNCT
ejpam-4647	99	11	applications	application	NOUN
ejpam-4647	99	12	and	and	CCONJ
ejpam-4647	99	13	emerging	emerge	VERB
ejpam-4647	99	14	technologies	technology	NOUN
ejpam-4647	99	15	.	.	PUNCT
ejpam-4647	100	1	nova	nova	PROPN
ejpam-4647	100	2	science	science	NOUN
ejpam-4647	100	3	publishers	publisher	NOUN
ejpam-4647	100	4	,	,	PUNCT
ejpam-4647	100	5	2016	2016	NUM
ejpam-4647	100	6	.	.	PUNCT
ejpam-4647	101	1	[	[	X
ejpam-4647	101	2	6	6	NUM
ejpam-4647	101	3	]	]	PUNCT
ejpam-4647	101	4	aytac	aytac	PROPN
ejpam-4647	101	5	arikoglu	arikoglu	NOUN
ejpam-4647	101	6	and	and	CCONJ
ejpam-4647	101	7	ibrahim	ibrahim	PROPN
ejpam-4647	101	8	ozkol	ozkol	PROPN
ejpam-4647	101	9	.	.	PUNCT
ejpam-4647	102	1	solutions	solution	NOUN
ejpam-4647	102	2	of	of	ADP
ejpam-4647	102	3	integral	integral	ADJ
ejpam-4647	102	4	and	and	CCONJ
ejpam-4647	102	5	integro	integro	ADJ
ejpam-4647	102	6	-	-	PUNCT
ejpam-4647	102	7	differential	differential	NOUN
ejpam-4647	102	8	equation	equation	NOUN
ejpam-4647	102	9	systems	system	NOUN
ejpam-4647	102	10	by	by	ADP
ejpam-4647	102	11	using	use	VERB
ejpam-4647	102	12	differential	differential	ADJ
ejpam-4647	102	13	transform	transform	NOUN
ejpam-4647	102	14	method	method	NOUN
ejpam-4647	102	15	.	.	PUNCT
ejpam-4647	103	1	computers	computer	NOUN
ejpam-4647	103	2	&	&	CCONJ
ejpam-4647	103	3	mathematics	mathematics	PROPN
ejpam-4647	103	4	with	with	ADP
ejpam-4647	103	5	applications	application	NOUN
ejpam-4647	103	6	,	,	PUNCT
ejpam-4647	103	7	56(9):2411–2417	56(9):2411–2417	NUM
ejpam-4647	103	8	,	,	PUNCT
ejpam-4647	103	9	2008	2008	NUM
ejpam-4647	103	10	.	.	PUNCT
ejpam-4647	104	1	publisher	publisher	NOUN
ejpam-4647	104	2	:	:	PUNCT
ejpam-4647	104	3	elsevier	elsevier	X
ejpam-4647	104	4	.	.	PUNCT
ejpam-4647	105	1	[	[	X
ejpam-4647	105	2	7	7	X
ejpam-4647	105	3	]	]	X
ejpam-4647	105	4	hermann	hermann	PROPN
ejpam-4647	105	5	brunner	brunner	PROPN
ejpam-4647	105	6	.	.	PUNCT
ejpam-4647	105	7	collocation	collocation	NOUN
ejpam-4647	105	8	methods	method	NOUN
ejpam-4647	105	9	for	for	ADP
ejpam-4647	105	10	volterra	volterra	NOUN
ejpam-4647	105	11	integral	integral	ADJ
ejpam-4647	105	12	and	and	CCONJ
ejpam-4647	105	13	related	related	ADJ
ejpam-4647	105	14	functional	functional	ADJ
ejpam-4647	105	15	differential	differential	NOUN
ejpam-4647	105	16	equations	equation	NOUN
ejpam-4647	105	17	,	,	PUNCT
ejpam-4647	105	18	volume	volume	NOUN
ejpam-4647	105	19	15	15	NUM
ejpam-4647	105	20	.	.	PUNCT
ejpam-4647	106	1	cambridge	cambridge	PROPN
ejpam-4647	106	2	university	university	PROPN
ejpam-4647	106	3	press	press	NOUN
ejpam-4647	106	4	,	,	PUNCT
ejpam-4647	106	5	2004	2004	NUM
ejpam-4647	106	6	.	.	PUNCT
ejpam-4647	107	1	[	[	X
ejpam-4647	107	2	8	8	NUM
ejpam-4647	107	3	]	]	PUNCT
ejpam-4647	107	4	ahmed	ahme	VERB
ejpam-4647	107	5	a	a	DET
ejpam-4647	107	6	mohammed	mohammed	PROPN
ejpam-4647	107	7	fawze	fawze	NOUN
ejpam-4647	107	8	,	,	PUNCT
ejpam-4647	107	9	borhan	borhan	PROPN
ejpam-4647	107	10	f	f	PROPN
ejpam-4647	107	11	juma’a	juma’a	PROPN
ejpam-4647	107	12	,	,	PUNCT
ejpam-4647	107	13	and	and	CCONJ
ejpam-4647	107	14	waleed	waleed	PROPN
ejpam-4647	107	15	al	al	PROPN
ejpam-4647	107	16	-	-	PUNCT
ejpam-4647	107	17	hayani	hayani	PROPN
ejpam-4647	107	18	.	.	PUNCT
ejpam-4647	108	1	modified	modify	VERB
ejpam-4647	108	2	of	of	ADP
ejpam-4647	108	3	homotopy	homotopy	NOUN
ejpam-4647	108	4	perturbation	perturbation	NOUN
ejpam-4647	108	5	technique	technique	NOUN
ejpam-4647	108	6	and	and	CCONJ
ejpam-4647	108	7	its	its	PRON
ejpam-4647	108	8	application	application	NOUN
ejpam-4647	108	9	to	to	ADP
ejpam-4647	108	10	system	system	NOUN
ejpam-4647	108	11	of	of	ADP
ejpam-4647	108	12	nonlinear	nonlinear	ADJ
ejpam-4647	108	13	fredholm	fredholm	ADJ
ejpam-4647	108	14	integral	integral	ADJ
ejpam-4647	108	15	equations	equation	NOUN
ejpam-4647	108	16	of	of	ADP
ejpam-4647	108	17	2nd	2nd	ADJ
ejpam-4647	108	18	kind	kind	NOUN
ejpam-4647	108	19	.	.	PUNCT
ejpam-4647	109	1	in	in	ADP
ejpam-4647	109	2	journal	journal	PROPN
ejpam-4647	109	3	of	of	ADP
ejpam-4647	109	4	physics	physics	PROPN
ejpam-4647	109	5	:	:	PUNCT
ejpam-4647	109	6	conference	conference	NOUN
ejpam-4647	109	7	series	series	NOUN
ejpam-4647	109	8	,	,	PUNCT
ejpam-4647	109	9	volume	volume	NOUN
ejpam-4647	109	10	1818	1818	NUM
ejpam-4647	109	11	,	,	PUNCT
ejpam-4647	109	12	page	page	NOUN
ejpam-4647	109	13	012057	012057	NUM
ejpam-4647	109	14	.	.	PUNCT
ejpam-4647	110	1	iop	iop	NOUN
ejpam-4647	110	2	publishing	publishing	NOUN
ejpam-4647	110	3	,	,	PUNCT
ejpam-4647	110	4	2021	2021	NUM
ejpam-4647	110	5	.	.	PUNCT
ejpam-4647	111	1	[	[	X
ejpam-4647	111	2	9	9	NUM
ejpam-4647	111	3	]	]	SYM
ejpam-4647	111	4	g	g	NOUN
ejpam-4647	111	5	fichera	fichera	NOUN
ejpam-4647	111	6	.	.	PUNCT
ejpam-4647	112	1	abstract	abstract	ADJ
ejpam-4647	112	2	and	and	CCONJ
ejpam-4647	112	3	numerical	numerical	ADJ
ejpam-4647	112	4	aspects	aspect	NOUN
ejpam-4647	112	5	of	of	ADP
ejpam-4647	112	6	eigenvalue	eigenvalue	PROPN
ejpam-4647	112	7	theory	theory	NOUN
ejpam-4647	112	8	.	.	PUNCT
ejpam-4647	113	1	lecture	lecture	NOUN
ejpam-4647	113	2	notes	note	NOUN
ejpam-4647	113	3	,	,	PUNCT
ejpam-4647	113	4	the	the	DET
ejpam-4647	113	5	university	university	PROPN
ejpam-4647	113	6	of	of	ADP
ejpam-4647	113	7	alberta	alberta	PROPN
ejpam-4647	113	8	,	,	PUNCT
ejpam-4647	113	9	dept	dept	PROPN
ejpam-4647	113	10	.	.	PROPN
ejpam-4647	113	11	of	of	ADP
ejpam-4647	113	12	math	math	NOUN
ejpam-4647	113	13	.	.	PUNCT
ejpam-4647	113	14	,	,	PUNCT
ejpam-4647	113	15	edmonton	edmonton	PROPN
ejpam-4647	113	16	,	,	PUNCT
ejpam-4647	113	17	1973	1973	NUM
ejpam-4647	113	18	.	.	PUNCT
ejpam-4647	114	1	[	[	X
ejpam-4647	114	2	10	10	NUM
ejpam-4647	114	3	]	]	PUNCT
ejpam-4647	114	4	khosrow	khosrow	NOUN
ejpam-4647	114	5	maleknejad	maleknejad	PROPN
ejpam-4647	114	6	,	,	PUNCT
ejpam-4647	114	7	m	m	VERB
ejpam-4647	114	8	shahrezaee	shahrezaee	ADJ
ejpam-4647	114	9	,	,	PUNCT
ejpam-4647	114	10	and	and	CCONJ
ejpam-4647	114	11	h	h	PROPN
ejpam-4647	114	12	khatami	khatami	PROPN
ejpam-4647	114	13	.	.	PUNCT
ejpam-4647	115	1	numerical	numerical	ADJ
ejpam-4647	115	2	solution	solution	NOUN
ejpam-4647	115	3	of	of	ADP
ejpam-4647	115	4	integral	integral	ADJ
ejpam-4647	115	5	equations	equation	NOUN
ejpam-4647	115	6	system	system	NOUN
ejpam-4647	115	7	of	of	ADP
ejpam-4647	115	8	the	the	DET
ejpam-4647	115	9	second	second	ADJ
ejpam-4647	115	10	kind	kind	NOUN
ejpam-4647	115	11	by	by	ADP
ejpam-4647	115	12	block	block	NOUN
ejpam-4647	115	13	–	–	PUNCT
ejpam-4647	115	14	pulse	pulse	NOUN
ejpam-4647	115	15	functions	function	NOUN
ejpam-4647	115	16	.	.	PUNCT
ejpam-4647	116	1	applied	apply	VERB
ejpam-4647	116	2	mathematics	mathematic	NOUN
ejpam-4647	116	3	and	and	CCONJ
ejpam-4647	116	4	computation	computation	NOUN
ejpam-4647	116	5	,	,	PUNCT
ejpam-4647	116	6	166(1):15–24	166(1):15–24	NUM
ejpam-4647	116	7	,	,	PUNCT
ejpam-4647	116	8	2005	2005	NUM
ejpam-4647	116	9	.	.	PUNCT
ejpam-4647	117	1	publisher	publisher	NOUN
ejpam-4647	117	2	:	:	PUNCT
ejpam-4647	117	3	elsevier	elsevier	X
ejpam-4647	117	4	.	.	PUNCT
ejpam-4647	118	1	[	[	X
ejpam-4647	118	2	11	11	NUM
ejpam-4647	118	3	]	]	X
ejpam-4647	118	4	solomon	solomon	PROPN
ejpam-4647	118	5	grigor’evich	grigor’evich	PROPN
ejpam-4647	118	6	mikhlin	mikhlin	PROPN
ejpam-4647	118	7	.	.	PUNCT
ejpam-4647	119	1	integral	integral	ADJ
ejpam-4647	119	2	equations	equation	NOUN
ejpam-4647	119	3	and	and	CCONJ
ejpam-4647	119	4	their	their	PRON
ejpam-4647	119	5	applications	application	NOUN
ejpam-4647	119	6	.	.	PUNCT
ejpam-4647	120	1	oxford	oxford	PROPN
ejpam-4647	120	2	,	,	PUNCT
ejpam-4647	120	3	2nd	2nd	PROPN
ejpam-4647	120	4	edition	edition	NOUN
ejpam-4647	120	5	,	,	PUNCT
ejpam-4647	120	6	1964	1964	NUM
ejpam-4647	120	7	.	.	PUNCT
ejpam-4647	121	1	[	[	X
ejpam-4647	121	2	12	12	NUM
ejpam-4647	121	3	]	]	X
ejpam-4647	121	4	jafar	jafar	PROPN
ejpam-4647	121	5	pour	pour	PROPN
ejpam-4647	121	6	-	-	PUNCT
ejpam-4647	121	7	mahmoud	mahmoud	PROPN
ejpam-4647	121	8	,	,	PUNCT
ejpam-4647	121	9	mohammad	mohammad	PROPN
ejpam-4647	121	10	y	y	PROPN
ejpam-4647	121	11	rahimi	rahimi	PROPN
ejpam-4647	121	12	-	-	PUNCT
ejpam-4647	121	13	ardabili	ardabili	NOUN
ejpam-4647	121	14	,	,	PUNCT
ejpam-4647	121	15	and	and	CCONJ
ejpam-4647	121	16	s21708451082	s21708451082	ADJ
ejpam-4647	121	17	shahmorad	shahmorad	PROPN
ejpam-4647	121	18	.	.	PUNCT
ejpam-4647	122	1	numerical	numerical	ADJ
ejpam-4647	122	2	solution	solution	NOUN
ejpam-4647	122	3	of	of	ADP
ejpam-4647	122	4	the	the	DET
ejpam-4647	122	5	system	system	NOUN
ejpam-4647	122	6	of	of	ADP
ejpam-4647	122	7	fredholm	fredholm	ADJ
ejpam-4647	122	8	integro	integro	ADJ
ejpam-4647	122	9	-	-	PUNCT
ejpam-4647	122	10	differential	differential	NOUN
ejpam-4647	122	11	equations	equation	NOUN
ejpam-4647	122	12	by	by	ADP
ejpam-4647	122	13	the	the	DET
ejpam-4647	122	14	tau	tau	PROPN
ejpam-4647	122	15	method	method	NOUN
ejpam-4647	122	16	.	.	PUNCT
ejpam-4647	123	1	applied	apply	VERB
ejpam-4647	123	2	mathematics	mathematic	NOUN
ejpam-4647	123	3	and	and	CCONJ
ejpam-4647	123	4	computation	computation	NOUN
ejpam-4647	123	5	,	,	PUNCT
ejpam-4647	123	6	168(1):465–478	168(1):465–478	NUM
ejpam-4647	123	7	,	,	PUNCT
ejpam-4647	123	8	2005	2005	NUM
ejpam-4647	123	9	.	.	PUNCT
ejpam-4647	124	1	publisher	publisher	NOUN
ejpam-4647	124	2	:	:	PUNCT
ejpam-4647	125	1	elsevier	elsevier	PROPN
ejpam-4647	125	2	.	.	PUNCT
ejpam-4647	126	1	references	reference	NOUN
ejpam-4647	126	2	313	313	NUM
ejpam-4647	126	3	[	[	X
ejpam-4647	126	4	13	13	NUM
ejpam-4647	126	5	]	]	X
ejpam-4647	126	6	k	k	X
ejpam-4647	126	7	prandecki	prandecki	PROPN
ejpam-4647	126	8	.	.	PUNCT
ejpam-4647	127	1	theoretical	theoretical	ADJ
ejpam-4647	127	2	aspects	aspect	NOUN
ejpam-4647	127	3	of	of	ADP
ejpam-4647	127	4	sustainable	sustainable	ADJ
ejpam-4647	127	5	energy	energy	NOUN
ejpam-4647	127	6	.	.	PUNCT
ejpam-4647	128	1	energy	energy	NOUN
ejpam-4647	128	2	and	and	CCONJ
ejpam-4647	128	3	environmental	environmental	ADJ
ejpam-4647	128	4	engineering	engineering	NOUN
ejpam-4647	128	5	,	,	PUNCT
ejpam-4647	128	6	vol	vol	NOUN
ejpam-4647	128	7	.	.	PROPN
ejpam-4647	128	8	2	2	NUM
ejpam-4647	128	9	.	.	NUM
ejpam-4647	128	10	2014	2014	NUM
ejpam-4647	128	11	.	.	PUNCT
ejpam-4647	129	1	[	[	X
ejpam-4647	129	2	14	14	NUM
ejpam-4647	129	3	]	]	PUNCT
ejpam-4647	129	4	sean	sean	PROPN
ejpam-4647	129	5	stein	stein	PROPN
ejpam-4647	129	6	smith	smith	PROPN
ejpam-4647	129	7	.	.	PUNCT
ejpam-4647	130	1	how	how	SCONJ
ejpam-4647	130	2	cryptocurrencies	cryptocurrencie	NOUN
ejpam-4647	130	3	are	be	AUX
ejpam-4647	130	4	changing	change	VERB
ejpam-4647	130	5	what	what	PRON
ejpam-4647	130	6	cpas	cpa	NOUN
ejpam-4647	130	7	need	need	VERB
ejpam-4647	130	8	to	to	PART
ejpam-4647	130	9	know	know	VERB
ejpam-4647	130	10	about	about	ADP
ejpam-4647	130	11	fraud	fraud	NOUN
ejpam-4647	130	12	prevention	prevention	NOUN
ejpam-4647	130	13	.	.	PUNCT
ejpam-4647	131	1	theoretical	theoretical	ADJ
ejpam-4647	131	2	economics	economic	NOUN
ejpam-4647	131	3	letters	letter	NOUN
ejpam-4647	131	4	,	,	PUNCT
ejpam-4647	131	5	8(14):3252–3266	8(14):3252–3266	NUM
ejpam-4647	131	6	,	,	PUNCT
ejpam-4647	131	7	2018	2018	NUM
ejpam-4647	131	8	.	.	PUNCT
ejpam-4647	132	1	publisher	publisher	NOUN
ejpam-4647	132	2	:	:	PUNCT
ejpam-4647	132	3	scientific	scientific	ADJ
ejpam-4647	132	4	research	research	NOUN
ejpam-4647	132	5	publishing	publishing	NOUN
ejpam-4647	132	6	.	.	PUNCT
ejpam-4647	133	1	[	[	X
ejpam-4647	133	2	15	15	NUM
ejpam-4647	133	3	]	]	X
ejpam-4647	133	4	hari	hari	PROPN
ejpam-4647	133	5	m	m	PROPN
ejpam-4647	133	6	srivastava	srivastava	PROPN
ejpam-4647	133	7	and	and	CCONJ
ejpam-4647	133	8	robert	robert	PROPN
ejpam-4647	133	9	g	g	PROPN
ejpam-4647	133	10	buschman	buschman	NOUN
ejpam-4647	133	11	.	.	PUNCT
ejpam-4647	134	1	theory	theory	NOUN
ejpam-4647	134	2	and	and	CCONJ
ejpam-4647	134	3	applications	application	NOUN
ejpam-4647	134	4	of	of	ADP
ejpam-4647	134	5	convolution	convolution	NOUN
ejpam-4647	134	6	integral	integral	ADJ
ejpam-4647	134	7	equations	equation	NOUN
ejpam-4647	134	8	,	,	PUNCT
ejpam-4647	134	9	volume	volume	NOUN
ejpam-4647	134	10	79	79	NUM
ejpam-4647	134	11	.	.	PUNCT
ejpam-4647	135	1	springer	springer	NOUN
ejpam-4647	135	2	science	science	PROPN
ejpam-4647	135	3	&	&	CCONJ
ejpam-4647	135	4	business	business	NOUN
ejpam-4647	135	5	media	medium	NOUN
ejpam-4647	135	6	,	,	PUNCT
ejpam-4647	135	7	2013	2013	NUM
ejpam-4647	135	8	.	.	PUNCT
ejpam-4647	136	1	[	[	X
ejpam-4647	136	2	16	16	NUM
ejpam-4647	136	3	]	]	X
ejpam-4647	136	4	p	p	X
ejpam-4647	136	5	tamilalagan	tamilalagan	VERB
ejpam-4647	136	6	and	and	CCONJ
ejpam-4647	136	7	p	p	PROPN
ejpam-4647	136	8	balasubramaniam	balasubramaniam	PROPN
ejpam-4647	136	9	.	.	PUNCT
ejpam-4647	137	1	the	the	DET
ejpam-4647	137	2	solvability	solvability	NOUN
ejpam-4647	137	3	and	and	CCONJ
ejpam-4647	137	4	optimal	optimal	ADJ
ejpam-4647	137	5	controls	control	NOUN
ejpam-4647	137	6	for	for	ADP
ejpam-4647	137	7	fractional	fractional	ADJ
ejpam-4647	137	8	stochastic	stochastic	ADJ
ejpam-4647	137	9	differential	differential	ADJ
ejpam-4647	137	10	equations	equation	NOUN
ejpam-4647	137	11	driven	drive	VERB
ejpam-4647	137	12	by	by	ADP
ejpam-4647	137	13	poisson	poisson	PROPN
ejpam-4647	137	14	jumps	jump	VERB
ejpam-4647	137	15	via	via	ADP
ejpam-4647	137	16	resolvent	resolvent	ADJ
ejpam-4647	137	17	operators	operator	NOUN
ejpam-4647	137	18	.	.	PUNCT
ejpam-4647	138	1	applied	apply	VERB
ejpam-4647	138	2	mathematics	mathematics	PROPN
ejpam-4647	138	3	&	&	CCONJ
ejpam-4647	138	4	optimization	optimization	NOUN
ejpam-4647	138	5	,	,	PUNCT
ejpam-4647	138	6	77(3):443–462	77(3):443–462	PROPN
ejpam-4647	138	7	,	,	PUNCT
ejpam-4647	138	8	2018	2018	NUM
ejpam-4647	138	9	.	.	PUNCT
ejpam-4647	139	1	publisher	publisher	NOUN
ejpam-4647	139	2	:	:	PUNCT
ejpam-4647	139	3	springer	springer	NOUN
ejpam-4647	139	4	.	.	PUNCT
ejpam-4647	140	1	[	[	X
ejpam-4647	140	2	17	17	NUM
ejpam-4647	140	3	]	]	X
ejpam-4647	140	4	pj	pj	PROPN
ejpam-4647	140	5	van	van	PROPN
ejpam-4647	140	6	der	der	PROPN
ejpam-4647	140	7	houwen	houwen	PROPN
ejpam-4647	140	8	and	and	CCONJ
ejpam-4647	140	9	bp	bp	PROPN
ejpam-4647	140	10	sommeijer	sommeijer	PROPN
ejpam-4647	140	11	.	.	PUNCT
ejpam-4647	140	12	euler	euler	PROPN
ejpam-4647	140	13	-	-	PUNCT
ejpam-4647	140	14	chebyshev	chebyshev	NOUN
ejpam-4647	140	15	methods	method	NOUN
ejpam-4647	140	16	for	for	ADP
ejpam-4647	140	17	integrodifferential	integrodifferential	ADJ
ejpam-4647	140	18	equations	equation	NOUN
ejpam-4647	140	19	.	.	PUNCT
ejpam-4647	141	1	applied	apply	VERB
ejpam-4647	141	2	numerical	numerical	ADJ
ejpam-4647	141	3	mathematics	mathematic	NOUN
ejpam-4647	141	4	,	,	PUNCT
ejpam-4647	141	5	24(2	24(2	NUM
ejpam-4647	141	6	-	-	PUNCT
ejpam-4647	141	7	3):203–218	3):203–218	NUM
ejpam-4647	141	8	,	,	PUNCT
ejpam-4647	141	9	1997	1997	NUM
ejpam-4647	141	10	.	.	PUNCT
ejpam-4647	142	1	publisher	publisher	NOUN
ejpam-4647	142	2	:	:	PUNCT
ejpam-4647	142	3	elsevier	elsevier	X
ejpam-4647	142	4	.	.	PUNCT
ejpam-4647	143	1	[	[	X
ejpam-4647	143	2	18	18	NUM
ejpam-4647	143	3	]	]	PUNCT
ejpam-4647	143	4	elçin	elçin	PROPN
ejpam-4647	143	5	yusufoğlu	yusufoğlu	PROPN
ejpam-4647	143	6	.	.	PUNCT
ejpam-4647	144	1	numerical	numerical	ADJ
ejpam-4647	144	2	solving	solve	VERB
ejpam-4647	144	3	initial	initial	ADJ
ejpam-4647	144	4	value	value	NOUN
ejpam-4647	144	5	problem	problem	NOUN
ejpam-4647	144	6	for	for	ADP
ejpam-4647	144	7	fredholm	fredholm	NOUN
ejpam-4647	144	8	type	type	NOUN
ejpam-4647	144	9	linear	linear	ADJ
ejpam-4647	144	10	integro	integro	ADJ
ejpam-4647	144	11	-	-	PUNCT
ejpam-4647	144	12	differential	differential	NOUN
ejpam-4647	144	13	equation	equation	NOUN
ejpam-4647	144	14	system	system	NOUN
ejpam-4647	144	15	.	.	PUNCT
ejpam-4647	145	1	journal	journal	NOUN
ejpam-4647	145	2	of	of	ADP
ejpam-4647	145	3	the	the	DET
ejpam-4647	145	4	franklin	franklin	PROPN
ejpam-4647	145	5	institute	institute	PROPN
ejpam-4647	145	6	,	,	PUNCT
ejpam-4647	145	7	346(6):636	346(6):636	NUM
ejpam-4647	145	8	–	–	PUNCT
ejpam-4647	145	9	649	649	NUM
ejpam-4647	145	10	,	,	PUNCT
ejpam-4647	145	11	2009	2009	NUM
ejpam-4647	145	12	.	.	PUNCT
ejpam-4647	146	1	publisher	publisher	NOUN
ejpam-4647	146	2	:	:	PUNCT
ejpam-4647	146	3	elsevier	elsevier	X
ejpam-4647	146	4	.	.	PUNCT
ejpam-4647	147	1	[	[	X
ejpam-4647	147	2	19	19	NUM
ejpam-4647	147	3	]	]	X
ejpam-4647	147	4	şuayip	şuayip	NOUN
ejpam-4647	147	5	yüzbaşı	yüzbaşı	NOUN
ejpam-4647	147	6	,	,	PUNCT
ejpam-4647	147	7	niyazi	niyazi	PROPN
ejpam-4647	147	8	şahin	şahin	PROPN
ejpam-4647	147	9	,	,	PUNCT
ejpam-4647	147	10	and	and	CCONJ
ejpam-4647	147	11	mehmet	mehmet	PROPN
ejpam-4647	147	12	sezer	sezer	PROPN
ejpam-4647	147	13	.	.	PUNCT
ejpam-4647	148	1	numerical	numerical	ADJ
ejpam-4647	148	2	solutions	solution	NOUN
ejpam-4647	148	3	of	of	ADP
ejpam-4647	148	4	systems	system	NOUN
ejpam-4647	148	5	of	of	ADP
ejpam-4647	148	6	linear	linear	PROPN
ejpam-4647	148	7	fredholm	fredholm	NOUN
ejpam-4647	148	8	integro	integro	ADJ
ejpam-4647	148	9	-	-	PUNCT
ejpam-4647	148	10	differential	differential	NOUN
ejpam-4647	148	11	equations	equation	NOUN
ejpam-4647	148	12	with	with	ADP
ejpam-4647	148	13	bessel	bessel	ADJ
ejpam-4647	148	14	polynomial	polynomial	ADJ
ejpam-4647	148	15	bases	basis	NOUN
ejpam-4647	148	16	.	.	PUNCT
ejpam-4647	149	1	computers	computer	NOUN
ejpam-4647	149	2	&	&	CCONJ
ejpam-4647	149	3	mathematics	mathematics	PROPN
ejpam-4647	149	4	with	with	ADP
ejpam-4647	149	5	applications	application	NOUN
ejpam-4647	149	6	,	,	PUNCT
ejpam-4647	149	7	61(10):3079–3096	61(10):3079–3096	NUM
ejpam-4647	149	8	,	,	PUNCT
ejpam-4647	149	9	2011	2011	NUM
ejpam-4647	149	10	.	.	PUNCT
ejpam-4647	150	1	publisher	publisher	NOUN
ejpam-4647	150	2	:	:	PUNCT
ejpam-4647	150	3	elsevier	elsevier	X
ejpam-4647	150	4	.	.	PUNCT