id	sid	tid	token	lemma	pos
ejpam-6725	1	1	european	european	PROPN
ejpam-6725	1	2	journal	journal	PROPN
ejpam-6725	1	3	of	of	ADP
ejpam-6725	1	4	pure	pure	ADJ
ejpam-6725	1	5	and	and	CCONJ
ejpam-6725	1	6	applied	applied	ADJ
ejpam-6725	1	7	mathematics	mathematic	NOUN
ejpam-6725	1	8	2025	2025	NUM
ejpam-6725	1	9	,	,	PUNCT
ejpam-6725	1	10	vol	vol	NOUN
ejpam-6725	1	11	.	.	PROPN
ejpam-6725	1	12	18	18	NUM
ejpam-6725	1	13	,	,	PUNCT
ejpam-6725	1	14	issue	issue	NOUN
ejpam-6725	1	15	4	4	NUM
ejpam-6725	1	16	,	,	PUNCT
ejpam-6725	1	17	article	article	NOUN
ejpam-6725	1	18	number	number	NOUN
ejpam-6725	1	19	6725	6725	NUM
ejpam-6725	1	20	issn	issn	VERB
ejpam-6725	1	21	1307	1307	NUM
ejpam-6725	1	22	-	-	SYM
ejpam-6725	1	23	5543	5543	NUM
ejpam-6725	1	24	–	–	PUNCT
ejpam-6725	1	25	ejpam.com	ejpam.com	X
ejpam-6725	1	26	published	publish	VERB
ejpam-6725	1	27	by	by	ADP
ejpam-6725	1	28	new	new	PROPN
ejpam-6725	1	29	york	york	PROPN
ejpam-6725	1	30	business	business	PROPN
ejpam-6725	1	31	global	global	PROPN
ejpam-6725	1	32	a	a	DET
ejpam-6725	1	33	method	method	NOUN
ejpam-6725	1	34	employing	employ	VERB
ejpam-6725	1	35	legendre	legendre	PROPN
ejpam-6725	1	36	wavelets	wavelet	NOUN
ejpam-6725	1	37	and	and	CCONJ
ejpam-6725	1	38	a	a	DET
ejpam-6725	1	39	finite	finite	ADJ
ejpam-6725	1	40	iterative	iterative	NOUN
ejpam-6725	1	41	approach	approach	NOUN
ejpam-6725	1	42	for	for	ADP
ejpam-6725	1	43	efficiently	efficiently	ADV
ejpam-6725	1	44	solving	solve	VERB
ejpam-6725	1	45	systems	system	NOUN
ejpam-6725	1	46	of	of	ADP
ejpam-6725	1	47	linear	linear	ADJ
ejpam-6725	1	48	fredholm	fredholm	NOUN
ejpam-6725	1	49	integral	integral	ADJ
ejpam-6725	1	50	equations	equation	NOUN
ejpam-6725	1	51	mohamed	mohamed	PROPN
ejpam-6725	1	52	a.	a.	PROPN
ejpam-6725	1	53	ramadan1	ramadan1	PROPN
ejpam-6725	1	54	,	,	PUNCT
ejpam-6725	1	55	mohamed	mohamed	PROPN
ejpam-6725	1	56	adel2,∗	adel2,∗	PROPN
ejpam-6725	1	57	,	,	PUNCT
ejpam-6725	1	58	heba	heba	PROPN
ejpam-6725	1	59	m.	m.	PROPN
ejpam-6725	1	60	arafa3	arafa3	PROPN
ejpam-6725	2	1	1	1	NUM
ejpam-6725	2	2	department	department	NOUN
ejpam-6725	2	3	of	of	ADP
ejpam-6725	2	4	mathematics	mathematic	NOUN
ejpam-6725	2	5	and	and	CCONJ
ejpam-6725	2	6	computer	computer	NOUN
ejpam-6725	2	7	science	science	NOUN
ejpam-6725	2	8	,	,	PUNCT
ejpam-6725	2	9	faculty	faculty	NOUN
ejpam-6725	2	10	of	of	ADP
ejpam-6725	2	11	science	science	NOUN
ejpam-6725	2	12	,	,	PUNCT
ejpam-6725	2	13	menoufia	menoufia	PROPN
ejpam-6725	2	14	university	university	PROPN
ejpam-6725	2	15	,	,	PUNCT
ejpam-6725	2	16	menoufia	menoufia	NOUN
ejpam-6725	2	17	32511	32511	NUM
ejpam-6725	2	18	,	,	PUNCT
ejpam-6725	2	19	shebein	shebein	PROPN
ejpam-6725	2	20	el	el	PROPN
ejpam-6725	2	21	kom	kom	PROPN
ejpam-6725	2	22	,	,	PUNCT
ejpam-6725	2	23	egypt	egypt	PROPN
ejpam-6725	2	24	2	2	NUM
ejpam-6725	2	25	department	department	NOUN
ejpam-6725	2	26	of	of	ADP
ejpam-6725	2	27	mathematics	mathematic	NOUN
ejpam-6725	2	28	,	,	PUNCT
ejpam-6725	2	29	faculty	faculty	NOUN
ejpam-6725	2	30	of	of	ADP
ejpam-6725	2	31	science	science	NOUN
ejpam-6725	2	32	,	,	PUNCT
ejpam-6725	2	33	islamic	islamic	PROPN
ejpam-6725	2	34	university	university	PROPN
ejpam-6725	2	35	of	of	ADP
ejpam-6725	2	36	madinah	madinah	PROPN
ejpam-6725	2	37	,	,	PUNCT
ejpam-6725	2	38	42210	42210	NUM
ejpam-6725	2	39	,	,	PUNCT
ejpam-6725	2	40	medina	medina	PROPN
ejpam-6725	2	41	,	,	PUNCT
ejpam-6725	2	42	ksa	ksa	PROPN
ejpam-6725	2	43	3	3	NUM
ejpam-6725	2	44	department	department	NOUN
ejpam-6725	2	45	of	of	ADP
ejpam-6725	2	46	mathematics	mathematic	NOUN
ejpam-6725	2	47	,	,	PUNCT
ejpam-6725	2	48	faculty	faculty	NOUN
ejpam-6725	2	49	of	of	ADP
ejpam-6725	2	50	education	education	NOUN
ejpam-6725	2	51	,	,	PUNCT
ejpam-6725	2	52	ain	ain	PROPN
ejpam-6725	2	53	shams	shams	PROPN
ejpam-6725	2	54	university	university	PROPN
ejpam-6725	2	55	,	,	PUNCT
ejpam-6725	2	56	roxy	roxy	PROPN
ejpam-6725	2	57	11341	11341	NUM
ejpam-6725	2	58	,	,	PUNCT
ejpam-6725	2	59	cairo	cairo	PROPN
ejpam-6725	2	60	,	,	PUNCT
ejpam-6725	2	61	egypt	egypt	PROPN
ejpam-6725	2	62	abstract	abstract	PROPN
ejpam-6725	2	63	.	.	PUNCT
ejpam-6725	3	1	integral	integral	ADJ
ejpam-6725	3	2	equations	equation	NOUN
ejpam-6725	3	3	are	be	AUX
ejpam-6725	3	4	essential	essential	ADJ
ejpam-6725	3	5	in	in	ADP
ejpam-6725	3	6	numerous	numerous	ADJ
ejpam-6725	3	7	domains	domain	NOUN
ejpam-6725	3	8	of	of	ADP
ejpam-6725	3	9	practical	practical	ADJ
ejpam-6725	3	10	mathematics	mathematic	NOUN
ejpam-6725	3	11	.	.	PUNCT
ejpam-6725	4	1	this	this	DET
ejpam-6725	4	2	article	article	NOUN
ejpam-6725	4	3	introduces	introduce	VERB
ejpam-6725	4	4	a	a	DET
ejpam-6725	4	5	straightforward	straightforward	ADJ
ejpam-6725	4	6	,	,	PUNCT
ejpam-6725	4	7	precise	precise	ADJ
ejpam-6725	4	8	,	,	PUNCT
ejpam-6725	4	9	and	and	CCONJ
ejpam-6725	4	10	efficient	efficient	ADJ
ejpam-6725	4	11	iterative	iterative	NOUN
ejpam-6725	4	12	technique	technique	NOUN
ejpam-6725	4	13	for	for	ADP
ejpam-6725	4	14	resolving	resolve	VERB
ejpam-6725	4	15	one	one	NUM
ejpam-6725	4	16	-	-	PUNCT
ejpam-6725	4	17	dimensional	dimensional	ADJ
ejpam-6725	4	18	fredholm	fredholm	ADJ
ejpam-6725	4	19	integral	integral	ADJ
ejpam-6725	4	20	equations	equation	NOUN
ejpam-6725	4	21	of	of	ADP
ejpam-6725	4	22	the	the	DET
ejpam-6725	4	23	second	second	ADJ
ejpam-6725	4	24	class	class	NOUN
ejpam-6725	4	25	.	.	PUNCT
ejpam-6725	5	1	the	the	DET
ejpam-6725	5	2	suggested	suggest	VERB
ejpam-6725	5	3	numerical	numerical	PROPN
ejpam-6725	5	4	method	method	PROPN
ejpam-6725	5	5	relies	rely	VERB
ejpam-6725	5	6	on	on	ADP
ejpam-6725	5	7	legendre	legendre	PROPN
ejpam-6725	5	8	wavelet	wavelet	PROPN
ejpam-6725	5	9	functions	function	NOUN
ejpam-6725	5	10	.	.	PUNCT
ejpam-6725	6	1	utilizing	utilize	VERB
ejpam-6725	6	2	these	these	DET
ejpam-6725	6	3	wavelets	wavelet	NOUN
ejpam-6725	6	4	,	,	PUNCT
ejpam-6725	6	5	the	the	DET
ejpam-6725	6	6	integral	integral	ADJ
ejpam-6725	6	7	equation	equation	NOUN
ejpam-6725	6	8	system	system	NOUN
ejpam-6725	6	9	is	be	AUX
ejpam-6725	6	10	converted	convert	VERB
ejpam-6725	6	11	into	into	ADP
ejpam-6725	6	12	a	a	DET
ejpam-6725	6	13	duo	duo	NOUN
ejpam-6725	6	14	of	of	ADP
ejpam-6725	6	15	interconnected	interconnected	ADJ
ejpam-6725	6	16	systems	system	NOUN
ejpam-6725	6	17	of	of	ADP
ejpam-6725	6	18	algebraic	algebraic	ADJ
ejpam-6725	6	19	matrix	matrix	NOUN
ejpam-6725	6	20	equations	equation	NOUN
ejpam-6725	6	21	.	.	PUNCT
ejpam-6725	7	1	a	a	DET
ejpam-6725	7	2	finite	finite	ADJ
ejpam-6725	7	3	iterative	iterative	NOUN
ejpam-6725	7	4	approach	approach	NOUN
ejpam-6725	7	5	is	be	AUX
ejpam-6725	7	6	employed	employ	VERB
ejpam-6725	7	7	to	to	PART
ejpam-6725	7	8	resolve	resolve	VERB
ejpam-6725	7	9	these	these	DET
ejpam-6725	7	10	systems	system	NOUN
ejpam-6725	7	11	and	and	CCONJ
ejpam-6725	7	12	ascertain	ascertain	VERB
ejpam-6725	7	13	the	the	DET
ejpam-6725	7	14	coefficients	coefficient	NOUN
ejpam-6725	7	15	that	that	PRON
ejpam-6725	7	16	formulate	formulate	VERB
ejpam-6725	7	17	the	the	DET
ejpam-6725	7	18	approximate	approximate	ADJ
ejpam-6725	7	19	numerical	numerical	ADJ
ejpam-6725	7	20	solutions	solution	NOUN
ejpam-6725	7	21	of	of	ADP
ejpam-6725	7	22	the	the	DET
ejpam-6725	7	23	unknown	unknown	ADJ
ejpam-6725	7	24	functions	function	NOUN
ejpam-6725	7	25	.	.	PUNCT
ejpam-6725	8	1	a	a	DET
ejpam-6725	8	2	variety	variety	NOUN
ejpam-6725	8	3	of	of	ADP
ejpam-6725	8	4	examples	example	NOUN
ejpam-6725	8	5	are	be	AUX
ejpam-6725	8	6	included	include	VERB
ejpam-6725	8	7	to	to	PART
ejpam-6725	8	8	evaluate	evaluate	VERB
ejpam-6725	8	9	the	the	DET
ejpam-6725	8	10	proposed	propose	VERB
ejpam-6725	8	11	numerical	numerical	ADJ
ejpam-6725	8	12	approach	approach	NOUN
ejpam-6725	8	13	.	.	PUNCT
ejpam-6725	9	1	2020	2020	NUM
ejpam-6725	9	2	mathematics	mathematic	NOUN
ejpam-6725	9	3	subject	subject	NOUN
ejpam-6725	9	4	classifications	classification	NOUN
ejpam-6725	9	5	:	:	PUNCT
ejpam-6725	9	6	45b05	45b05	NUM
ejpam-6725	9	7	,	,	PUNCT
ejpam-6725	9	8	65r20	65r20	NUM
ejpam-6725	9	9	,	,	PUNCT
ejpam-6725	9	10	65t60	65t60	NUM
ejpam-6725	9	11	,	,	PUNCT
ejpam-6725	9	12	65y20	65y20	NUM
ejpam-6725	9	13	,	,	PUNCT
ejpam-6725	9	14	42c40	42c40	NUM
ejpam-6725	9	15	key	key	ADJ
ejpam-6725	9	16	words	word	NOUN
ejpam-6725	9	17	and	and	CCONJ
ejpam-6725	9	18	phrases	phrase	NOUN
ejpam-6725	9	19	:	:	PUNCT
ejpam-6725	9	20	fredholm	fredholm	VERB
ejpam-6725	9	21	integral	integral	ADJ
ejpam-6725	9	22	equations	equation	NOUN
ejpam-6725	9	23	of	of	ADP
ejpam-6725	9	24	the	the	DET
ejpam-6725	9	25	second	second	ADJ
ejpam-6725	9	26	kind	kind	NOUN
ejpam-6725	9	27	,	,	PUNCT
ejpam-6725	9	28	one	one	NUM
ejpam-6725	9	29	-	-	PUNCT
ejpam-6725	9	30	dimensional	dimensional	ADJ
ejpam-6725	9	31	integral	integral	ADJ
ejpam-6725	9	32	systems	system	NOUN
ejpam-6725	9	33	,	,	PUNCT
ejpam-6725	9	34	legendre	legendre	PROPN
ejpam-6725	9	35	wavelets	wavelet	NOUN
ejpam-6725	9	36	,	,	PUNCT
ejpam-6725	9	37	iterative	iterative	NOUN
ejpam-6725	9	38	methods	method	NOUN
ejpam-6725	9	39	,	,	PUNCT
ejpam-6725	9	40	numerical	numerical	ADJ
ejpam-6725	9	41	approximation	approximation	NOUN
ejpam-6725	9	42	,	,	PUNCT
ejpam-6725	9	43	matrix	matrix	NOUN
ejpam-6725	9	44	equations	equation	NOUN
ejpam-6725	9	45	,	,	PUNCT
ejpam-6725	9	46	wavelet	wavelet	NOUN
ejpam-6725	9	47	-	-	PUNCT
ejpam-6725	9	48	based	base	VERB
ejpam-6725	9	49	methods	method	NOUN
ejpam-6725	9	50	1	1	NUM
ejpam-6725	9	51	.	.	PUNCT
ejpam-6725	10	1	introduction	introduction	NOUN
ejpam-6725	10	2	integral	integral	ADJ
ejpam-6725	10	3	equations	equation	NOUN
ejpam-6725	10	4	are	be	AUX
ejpam-6725	10	5	essential	essential	ADJ
ejpam-6725	10	6	in	in	ADP
ejpam-6725	10	7	the	the	DET
ejpam-6725	10	8	mathematical	mathematical	ADJ
ejpam-6725	10	9	modeling	modeling	NOUN
ejpam-6725	10	10	of	of	ADP
ejpam-6725	10	11	numerous	numerous	ADJ
ejpam-6725	10	12	applied	apply	VERB
ejpam-6725	10	13	science	science	NOUN
ejpam-6725	10	14	and	and	CCONJ
ejpam-6725	10	15	engineering	engineering	NOUN
ejpam-6725	10	16	challenges	challenge	NOUN
ejpam-6725	10	17	,	,	PUNCT
ejpam-6725	10	18	encompassing	encompass	VERB
ejpam-6725	10	19	areas	area	NOUN
ejpam-6725	10	20	such	such	ADJ
ejpam-6725	10	21	as	as	ADP
ejpam-6725	10	22	quantum	quantum	NOUN
ejpam-6725	10	23	physics	physics	NOUN
ejpam-6725	10	24	,	,	PUNCT
ejpam-6725	10	25	thermal	thermal	ADJ
ejpam-6725	10	26	analysis	analysis	NOUN
ejpam-6725	10	27	,	,	PUNCT
ejpam-6725	10	28	and	and	CCONJ
ejpam-6725	10	29	signal	signal	NOUN
ejpam-6725	10	30	processing	processing	NOUN
ejpam-6725	10	31	(	(	PUNCT
ejpam-6725	10	32	[	[	X
ejpam-6725	10	33	1–3	1–3	NOUN
ejpam-6725	10	34	]	]	X
ejpam-6725	10	35	)	)	PUNCT
ejpam-6725	10	36	.	.	PUNCT
ejpam-6725	11	1	due	due	ADP
ejpam-6725	11	2	to	to	ADP
ejpam-6725	11	3	the	the	DET
ejpam-6725	11	4	frequent	frequent	ADJ
ejpam-6725	11	5	inaccessibility	inaccessibility	NOUN
ejpam-6725	11	6	of	of	ADP
ejpam-6725	11	7	precise	precise	ADJ
ejpam-6725	11	8	solutions	solution	NOUN
ejpam-6725	11	9	for	for	ADP
ejpam-6725	11	10	several	several	ADJ
ejpam-6725	11	11	integral	integral	ADJ
ejpam-6725	11	12	equations	equation	NOUN
ejpam-6725	11	13	,	,	PUNCT
ejpam-6725	11	14	researchers	researcher	NOUN
ejpam-6725	11	15	have	have	AUX
ejpam-6725	11	16	developed	develop	VERB
ejpam-6725	11	17	a	a	DET
ejpam-6725	11	18	diverse	diverse	ADJ
ejpam-6725	11	19	array	array	NOUN
ejpam-6725	11	20	of	of	ADP
ejpam-6725	11	21	analytical	analytical	ADJ
ejpam-6725	11	22	and	and	CCONJ
ejpam-6725	11	23	computational	computational	ADJ
ejpam-6725	11	24	methods	method	NOUN
ejpam-6725	11	25	to	to	PART
ejpam-6725	11	26	approximate	approximate	VERB
ejpam-6725	11	27	solutions	solution	NOUN
ejpam-6725	11	28	for	for	ADP
ejpam-6725	11	29	various	various	ADJ
ejpam-6725	11	30	types	type	NOUN
ejpam-6725	11	31	of	of	ADP
ejpam-6725	11	32	integral	integral	ADJ
ejpam-6725	11	33	equations	equation	NOUN
ejpam-6725	11	34	(	(	PUNCT
ejpam-6725	11	35	[	[	X
ejpam-6725	11	36	4–11	4–11	NOUN
ejpam-6725	11	37	]	]	X
ejpam-6725	11	38	)	)	PUNCT
ejpam-6725	11	39	.	.	PUNCT
ejpam-6725	12	1	these	these	DET
ejpam-6725	12	2	techniques	technique	NOUN
ejpam-6725	12	3	often	often	ADV
ejpam-6725	12	4	include	include	VERB
ejpam-6725	12	5	orthogonal	orthogonal	ADJ
ejpam-6725	12	6	polynomials	polynomial	NOUN
ejpam-6725	12	7	,	,	PUNCT
ejpam-6725	12	8	including	include	VERB
ejpam-6725	12	9	legendre	legendre	PROPN
ejpam-6725	12	10	,	,	PUNCT
ejpam-6725	12	11	bernstein	bernstein	PROPN
ejpam-6725	12	12	,	,	PUNCT
ejpam-6725	12	13	jacobi	jacobi	PROPN
ejpam-6725	12	14	,	,	PUNCT
ejpam-6725	12	15	chebyshev	chebyshev	PROPN
ejpam-6725	12	16	,	,	PUNCT
ejpam-6725	12	17	and	and	CCONJ
ejpam-6725	12	18	triangular	triangular	NOUN
ejpam-6725	12	19	functions	function	NOUN
ejpam-6725	12	20	,	,	PUNCT
ejpam-6725	12	21	and	and	CCONJ
ejpam-6725	12	22	laguerre	laguerre	NOUN
ejpam-6725	12	23	polynomials	polynomial	NOUN
ejpam-6725	12	24	,	,	PUNCT
ejpam-6725	12	25	which	which	PRON
ejpam-6725	12	26	are	be	AUX
ejpam-6725	12	27	extensively	extensively	ADV
ejpam-6725	12	28	applied	apply	VERB
ejpam-6725	12	29	in	in	ADP
ejpam-6725	12	30	resolving	resolve	VERB
ejpam-6725	12	31	integrals	integral	NOUN
ejpam-6725	12	32	that	that	PRON
ejpam-6725	12	33	involve	involve	VERB
ejpam-6725	12	34	special	special	ADJ
ejpam-6725	12	35	functions	function	NOUN
ejpam-6725	12	36	.	.	PUNCT
ejpam-6725	13	1	integral	integral	ADJ
ejpam-6725	13	2	equation	equation	NOUN
ejpam-6725	13	3	systems	system	NOUN
ejpam-6725	13	4	(	(	PUNCT
ejpam-6725	13	5	ies	ies	PROPN
ejpam-6725	13	6	)	)	PUNCT
ejpam-6725	13	7	,	,	PUNCT
ejpam-6725	13	8	especially	especially	ADV
ejpam-6725	13	9	of	of	ADP
ejpam-6725	13	10	the	the	DET
ejpam-6725	13	11	fredholm	fredholm	NOUN
ejpam-6725	13	12	variety	variety	NOUN
ejpam-6725	13	13	,	,	PUNCT
ejpam-6725	13	14	typically	typically	ADV
ejpam-6725	13	15	can	can	AUX
ejpam-6725	13	16	not	not	PART
ejpam-6725	13	17	be	be	AUX
ejpam-6725	13	18	resolved	resolve	VERB
ejpam-6725	13	19	in	in	ADP
ejpam-6725	13	20	closed	closed	ADJ
ejpam-6725	13	21	form	form	NOUN
ejpam-6725	13	22	,	,	PUNCT
ejpam-6725	13	23	requiring	require	VERB
ejpam-6725	13	24	effective	effective	ADJ
ejpam-6725	13	25	numerical	numerical	ADJ
ejpam-6725	13	26	methods	method	NOUN
ejpam-6725	13	27	.	.	PUNCT
ejpam-6725	14	1	researchers	researcher	NOUN
ejpam-6725	14	2	have	have	AUX
ejpam-6725	14	3	suggested	suggest	VERB
ejpam-6725	14	4	a	a	DET
ejpam-6725	14	5	diverse	diverse	ADJ
ejpam-6725	14	6	range	range	NOUN
ejpam-6725	14	7	of	of	ADP
ejpam-6725	14	8	such	such	ADJ
ejpam-6725	14	9	methodologies	methodology	NOUN
ejpam-6725	14	10	.	.	PUNCT
ejpam-6725	15	1	babolian	babolian	PROPN
ejpam-6725	15	2	et	et	PROPN
ejpam-6725	15	3	al	al	PROPN
ejpam-6725	15	4	.	.	PUNCT
ejpam-6725	16	1	(	(	PUNCT
ejpam-6725	16	2	[	[	X
ejpam-6725	16	3	12	12	NUM
ejpam-6725	16	4	,	,	PUNCT
ejpam-6725	16	5	13	13	NUM
ejpam-6725	16	6	]	]	PUNCT
ejpam-6725	16	7	)	)	PUNCT
ejpam-6725	16	8	presented	present	VERB
ejpam-6725	16	9	direct	direct	ADJ
ejpam-6725	16	10	and	and	CCONJ
ejpam-6725	16	11	decomposition	decomposition	NOUN
ejpam-6725	16	12	methods	method	NOUN
ejpam-6725	16	13	;	;	PUNCT
ejpam-6725	16	14	jafarian	jafarian	NOUN
ejpam-6725	16	15	and	and	CCONJ
ejpam-6725	16	16	colleagues	colleague	NOUN
ejpam-6725	16	17	(	(	PUNCT
ejpam-6725	16	18	[	[	X
ejpam-6725	16	19	14	14	NUM
ejpam-6725	16	20	,	,	PUNCT
ejpam-6725	16	21	15	15	NUM
ejpam-6725	16	22	]	]	PUNCT
ejpam-6725	16	23	)	)	PUNCT
ejpam-6725	16	24	utilized	utilize	VERB
ejpam-6725	16	25	neural	neural	ADJ
ejpam-6725	16	26	networks	network	NOUN
ejpam-6725	16	27	and	and	CCONJ
ejpam-6725	16	28	bernstein	bernstein	PROPN
ejpam-6725	16	29	collocation	collocation	NOUN
ejpam-6725	16	30	;	;	PUNCT
ejpam-6725	16	31	and	and	CCONJ
ejpam-6725	16	32	mahmoodi	mahmoodi	VERB
ejpam-6725	16	33	[	[	X
ejpam-6725	16	34	16	16	NUM
ejpam-6725	16	35	]	]	PUNCT
ejpam-6725	16	36	implemented	implement	VERB
ejpam-6725	16	37	collocation	collocation	NOUN
ejpam-6725	16	38	and	and	CCONJ
ejpam-6725	16	39	spectral	spectral	ADJ
ejpam-6725	16	40	methods	method	NOUN
ejpam-6725	16	41	for	for	ADP
ejpam-6725	16	42	both	both	CCONJ
ejpam-6725	16	43	fredholm	fredholm	NOUN
ejpam-6725	16	44	and	and	CCONJ
ejpam-6725	16	45	volterra	volterra	NOUN
ejpam-6725	16	46	systems	system	NOUN
ejpam-6725	16	47	.	.	PUNCT
ejpam-6725	17	1	alipour	alipour	PROPN
ejpam-6725	17	2	et	et	PROPN
ejpam-6725	17	3	al	al	PROPN
ejpam-6725	17	4	.	.	PUNCT
ejpam-6725	18	1	[	[	X
ejpam-6725	18	2	17	17	NUM
ejpam-6725	18	3	]	]	PUNCT
ejpam-6725	18	4	expanded	expand	VERB
ejpam-6725	18	5	these	these	DET
ejpam-6725	18	6	concepts	concept	NOUN
ejpam-6725	18	7	to	to	ADP
ejpam-6725	18	8	coupled	couple	VERB
ejpam-6725	18	9	systems	system	NOUN
ejpam-6725	18	10	,	,	PUNCT
ejpam-6725	18	11	whereas	whereas	SCONJ
ejpam-6725	18	12	huang	huang	PROPN
ejpam-6725	18	13	et	et	PROPN
ejpam-6725	18	14	al	al	PROPN
ejpam-6725	18	15	.	.	PUNCT
ejpam-6725	19	1	[	[	X
ejpam-6725	19	2	18	18	NUM
ejpam-6725	19	3	]	]	PUNCT
ejpam-6725	19	4	employed	employ	VERB
ejpam-6725	19	5	taylor	taylor	PROPN
ejpam-6725	19	6	expansion	expansion	NOUN
ejpam-6725	19	7	.	.	PUNCT
ejpam-6725	20	1	maleknejad	maleknejad	PROPN
ejpam-6725	20	2	et	et	PROPN
ejpam-6725	20	3	al	al	PROPN
ejpam-6725	20	4	.	.	PUNCT
ejpam-6725	21	1	[	[	X
ejpam-6725	21	2	19	19	NUM
ejpam-6725	21	3	]	]	X
ejpam-6725	21	4	utilized	utilize	VERB
ejpam-6725	21	5	block	block	NOUN
ejpam-6725	21	6	pulse	pulse	NOUN
ejpam-6725	21	7	functions	function	NOUN
ejpam-6725	21	8	(	(	PUNCT
ejpam-6725	21	9	bpfs	bpfs	PROPN
ejpam-6725	21	10	)	)	PUNCT
ejpam-6725	21	11	.	.	PUNCT
ejpam-6725	22	1	ramadan	ramadan	PROPN
ejpam-6725	22	2	et	et	PROPN
ejpam-6725	22	3	al	al	PROPN
ejpam-6725	22	4	.	.	PUNCT
ejpam-6725	23	1	(	(	PUNCT
ejpam-6725	23	2	[	[	X
ejpam-6725	23	3	20	20	NUM
ejpam-6725	23	4	,	,	PUNCT
ejpam-6725	23	5	21	21	NUM
ejpam-6725	23	6	]	]	PUNCT
ejpam-6725	23	7	)	)	PUNCT
ejpam-6725	23	8	proposed	propose	VERB
ejpam-6725	23	9	extended	extended	ADJ
ejpam-6725	23	10	and	and	CCONJ
ejpam-6725	23	11	generalized	generalize	VERB
ejpam-6725	23	12	finite	finite	ADJ
ejpam-6725	23	13	iterative	iterative	NOUN
ejpam-6725	23	14	solution	solution	NOUN
ejpam-6725	23	15	methodologies	methodology	NOUN
ejpam-6725	23	16	.	.	PUNCT
ejpam-6725	24	1	maleknejad	maleknejad	PROPN
ejpam-6725	24	2	et	et	PROPN
ejpam-6725	24	3	al	al	PROPN
ejpam-6725	24	4	.	.	PUNCT
ejpam-6725	25	1	[	[	X
ejpam-6725	25	2	22	22	NUM
ejpam-6725	25	3	]	]	PUNCT
ejpam-6725	25	4	achieved	achieve	VERB
ejpam-6725	25	5	novel	novel	NOUN
ejpam-6725	25	6	results	result	NOUN
ejpam-6725	25	7	utilizing	utilize	VERB
ejpam-6725	25	8	taylor	taylor	PROPN
ejpam-6725	25	9	series	series	NOUN
ejpam-6725	25	10	for	for	ADP
ejpam-6725	25	11	first	first	ADJ
ejpam-6725	25	12	-	-	PUNCT
ejpam-6725	25	13	kind	kind	NOUN
ejpam-6725	25	14	systems	system	NOUN
ejpam-6725	25	15	.	.	PUNCT
ejpam-6725	26	1	in	in	ADP
ejpam-6725	26	2	[	[	X
ejpam-6725	26	3	23	23	NUM
ejpam-6725	26	4	]	]	PUNCT
ejpam-6725	26	5	,	,	PUNCT
ejpam-6725	26	6	ramadan	ramadan	PROPN
ejpam-6725	26	7	et	et	PROPN
ejpam-6725	26	8	al	al	PROPN
ejpam-6725	26	9	.	.	PROPN
ejpam-6725	26	10	expanded	expand	VERB
ejpam-6725	26	11	the	the	DET
ejpam-6725	26	12	triangle	triangle	NOUN
ejpam-6725	26	13	function	function	NOUN
ejpam-6725	26	14	in	in	ADP
ejpam-6725	26	15	conjunction	conjunction	NOUN
ejpam-6725	26	16	with	with	ADP
ejpam-6725	26	17	a	a	DET
ejpam-6725	26	18	finite	finite	ADJ
ejpam-6725	26	19	iterative	iterative	NOUN
ejpam-6725	26	20	technique	technique	NOUN
ejpam-6725	26	21	.	.	PUNCT
ejpam-6725	27	1	maleknejad	maleknejad	PROPN
ejpam-6725	27	2	et	et	PROPN
ejpam-6725	27	3	al	al	PROPN
ejpam-6725	27	4	.	.	PUNCT
ejpam-6725	28	1	[	[	X
ejpam-6725	28	2	24	24	NUM
ejpam-6725	28	3	]	]	PUNCT
ejpam-6725	28	4	employed	employ	VERB
ejpam-6725	28	5	second	second	ADJ
ejpam-6725	28	6	-	-	PUNCT
ejpam-6725	28	7	kind	kind	NOUN
ejpam-6725	28	8	taylor	taylor	PROPN
ejpam-6725	28	9	series	series	PROPN
ejpam-6725	28	10	systems	systems	PROPN
ejpam-6725	28	11	.	.	PUNCT
ejpam-6725	29	1	h.	h.	PROPN
ejpam-6725	29	2	almasieh	almasieh	PROPN
ejpam-6725	29	3	and	and	CCONJ
ejpam-6725	29	4	roodaki	roodaki	VERB
ejpam-6725	29	5	[	[	X
ejpam-6725	29	6	25	25	NUM
ejpam-6725	29	7	]	]	PUNCT
ejpam-6725	29	8	employed	employ	VERB
ejpam-6725	29	9	∗corresponding	∗corresponde	VERB
ejpam-6725	29	10	author	author	NOUN
ejpam-6725	29	11	.	.	PUNCT
ejpam-6725	30	1	doi	doi	NOUN
ejpam-6725	30	2	:	:	PUNCT
ejpam-6725	30	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6725	https://doi.org/10.29020/nybg.ejpam.v18i4.6725	ADJ
ejpam-6725	30	4	email	email	NOUN
ejpam-6725	30	5	addresses	address	NOUN
ejpam-6725	30	6	:	:	PUNCT
ejpam-6725	30	7	mohamed.abdellatif@science.menofia.edu.eg	mohamed.abdellatif@science.menofia.edu.eg	NUM
ejpam-6725	30	8	(	(	PUNCT
ejpam-6725	30	9	m.	m.	NOUN
ejpam-6725	30	10	a.	a.	PROPN
ejpam-6725	30	11	ramadan	ramadan	PROPN
ejpam-6725	30	12	)	)	PUNCT
ejpam-6725	30	13	,	,	PUNCT
ejpam-6725	30	14	adel@sci.cu.edu.eg	adel@sci.cu.edu.eg	PROPN
ejpam-6725	30	15	(	(	PUNCT
ejpam-6725	30	16	m.	m.	NOUN
ejpam-6725	30	17	adel	adel	PROPN
ejpam-6725	30	18	)	)	PUNCT
ejpam-6725	30	19	,	,	PUNCT
ejpam-6725	30	20	hebaallahmohammed@edu.asu.edu.eg	hebaallahmohammed@edu.asu.edu.eg	X
ejpam-6725	30	21	(	(	PUNCT
ejpam-6725	30	22	h.	h.	PROPN
ejpam-6725	30	23	m.	m.	PROPN
ejpam-6725	30	24	arafa	arafa	PROPN
ejpam-6725	30	25	)	)	PUNCT
ejpam-6725	30	26	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6725	30	27	1	1	NUM
ejpam-6725	30	28	copyright	copyright	NOUN
ejpam-6725	30	29	:	:	PUNCT
ejpam-6725	30	30	©	©	PROPN
ejpam-6725	30	31	2025	2025	NUM
ejpam-6725	30	32	the	the	DET
ejpam-6725	30	33	author(s	author(s	NOUN
ejpam-6725	30	34	)	)	PUNCT
ejpam-6725	30	35	.	.	PUNCT
ejpam-6725	31	1	(	(	PUNCT
ejpam-6725	31	2	cc	cc	NOUN
ejpam-6725	31	3	by	by	ADP
ejpam-6725	31	4	-	-	PUNCT
ejpam-6725	31	5	nc	nc	PROPN
ejpam-6725	31	6	4.0	4.0	NUM
ejpam-6725	31	7	)	)	PUNCT
ejpam-6725	31	8	m.	m.	NOUN
ejpam-6725	31	9	a.	a.	PROPN
ejpam-6725	31	10	ramadan	ramadan	PROPN
ejpam-6725	31	11	et	et	PROPN
ejpam-6725	31	12	al	al	PROPN
ejpam-6725	31	13	.	.	PUNCT
ejpam-6725	31	14	/	/	SYM
ejpam-6725	31	15	eur	eur	PROPN
ejpam-6725	31	16	.	.	PUNCT
ejpam-6725	32	1	j.	j.	PROPN
ejpam-6725	32	2	pure	pure	PROPN
ejpam-6725	32	3	appl	appl	PROPN
ejpam-6725	32	4	.	.	PROPN
ejpam-6725	32	5	math	math	PROPN
ejpam-6725	32	6	,	,	PUNCT
ejpam-6725	32	7	18	18	NUM
ejpam-6725	32	8	(	(	PUNCT
ejpam-6725	32	9	4	4	NUM
ejpam-6725	32	10	)	)	PUNCT
ejpam-6725	32	11	(	(	PUNCT
ejpam-6725	32	12	2025	2025	NUM
ejpam-6725	32	13	)	)	PUNCT
ejpam-6725	32	14	,	,	PUNCT
ejpam-6725	32	15	6725	6725	NUM
ejpam-6725	32	16	2	2	NUM
ejpam-6725	32	17	of	of	ADP
ejpam-6725	32	18	18	18	NUM
ejpam-6725	32	19	triangular	triangular	NOUN
ejpam-6725	32	20	functions	function	NOUN
ejpam-6725	32	21	to	to	PART
ejpam-6725	32	22	solve	solve	VERB
ejpam-6725	32	23	a	a	DET
ejpam-6725	32	24	system	system	NOUN
ejpam-6725	32	25	of	of	ADP
ejpam-6725	32	26	fredholm	fredholm	ADJ
ejpam-6725	32	27	integral	integral	ADJ
ejpam-6725	32	28	equations	equation	NOUN
ejpam-6725	32	29	,	,	PUNCT
ejpam-6725	32	30	whereas	whereas	SCONJ
ejpam-6725	32	31	golbabai	golbabai	NOUN
ejpam-6725	32	32	and	and	CCONJ
ejpam-6725	32	33	keramati	keramati	NOUN
ejpam-6725	33	1	[	[	X
ejpam-6725	33	2	26	26	NUM
ejpam-6725	33	3	]	]	PUNCT
ejpam-6725	33	4	proposed	propose	VERB
ejpam-6725	33	5	an	an	DET
ejpam-6725	33	6	effective	effective	ADJ
ejpam-6725	33	7	computational	computational	ADJ
ejpam-6725	33	8	methodology	methodology	NOUN
ejpam-6725	33	9	.	.	PUNCT
ejpam-6725	34	1	alternative	alternative	ADJ
ejpam-6725	34	2	methodologies	methodology	NOUN
ejpam-6725	34	3	encompass	encompass	VERB
ejpam-6725	34	4	triangle	triangle	NOUN
ejpam-6725	34	5	function	function	NOUN
ejpam-6725	34	6	techniques	technique	NOUN
ejpam-6725	34	7	and	and	CCONJ
ejpam-6725	34	8	b	b	X
ejpam-6725	34	9	-	-	PUNCT
ejpam-6725	34	10	spline	spline	NOUN
ejpam-6725	34	11	wavelet	wavelet	NOUN
ejpam-6725	34	12	frameworks	framework	NOUN
ejpam-6725	34	13	(	(	PUNCT
ejpam-6725	34	14	[	[	X
ejpam-6725	34	15	27	27	NUM
ejpam-6725	34	16	,	,	PUNCT
ejpam-6725	34	17	28	28	NUM
ejpam-6725	34	18	]	]	PUNCT
ejpam-6725	34	19	)	)	PUNCT
ejpam-6725	34	20	.	.	PUNCT
ejpam-6725	35	1	najafi	najafi	VERB
ejpam-6725	35	2	et	et	PROPN
ejpam-6725	35	3	al	al	PROPN
ejpam-6725	35	4	.	.	PUNCT
ejpam-6725	36	1	[	[	X
ejpam-6725	36	2	29	29	NUM
ejpam-6725	36	3	]	]	PUNCT
ejpam-6725	36	4	introduced	introduce	VERB
ejpam-6725	36	5	a	a	DET
ejpam-6725	36	6	linear	linear	PROPN
ejpam-6725	36	7	legendre	legendre	PROPN
ejpam-6725	36	8	multiwavelets	multiwavelet	NOUN
ejpam-6725	36	9	method	method	NOUN
ejpam-6725	36	10	for	for	ADP
ejpam-6725	36	11	addressing	address	VERB
ejpam-6725	36	12	systems	system	NOUN
ejpam-6725	36	13	of	of	ADP
ejpam-6725	36	14	fredholm	fredholm	ADJ
ejpam-6725	36	15	integral	integral	ADJ
ejpam-6725	36	16	equations	equation	NOUN
ejpam-6725	36	17	,	,	PUNCT
ejpam-6725	36	18	while	while	SCONJ
ejpam-6725	36	19	z.	z.	PROPN
ejpam-6725	36	20	elahiet	elahiet	PROPN
ejpam-6725	36	21	et	et	PROPN
ejpam-6725	36	22	al	al	PROPN
ejpam-6725	36	23	.	.	PUNCT
ejpam-6725	37	1	[	[	X
ejpam-6725	37	2	30	30	NUM
ejpam-6725	37	3	]	]	PUNCT
ejpam-6725	37	4	applied	apply	VERB
ejpam-6725	37	5	the	the	DET
ejpam-6725	37	6	laguerre	laguerre	NOUN
ejpam-6725	37	7	method	method	NOUN
ejpam-6725	37	8	for	for	ADP
ejpam-6725	37	9	solving	solve	VERB
ejpam-6725	37	10	linear	linear	NOUN
ejpam-6725	37	11	systems	system	NOUN
ejpam-6725	37	12	of	of	ADP
ejpam-6725	37	13	fredholm	fredholm	ADJ
ejpam-6725	37	14	integral	integral	ADJ
ejpam-6725	37	15	equations	equation	NOUN
ejpam-6725	37	16	.	.	PUNCT
ejpam-6725	38	1	additionally	additionally	ADV
ejpam-6725	38	2	,	,	PUNCT
ejpam-6725	38	3	elahi	elahi	PROPN
ejpam-6725	38	4	et	et	PROPN
ejpam-6725	38	5	al	al	PROPN
ejpam-6725	38	6	.	.	PUNCT
ejpam-6725	39	1	(	(	PUNCT
ejpam-6725	39	2	[	[	X
ejpam-6725	39	3	31	31	NUM
ejpam-6725	39	4	,	,	PUNCT
ejpam-6725	39	5	32	32	NUM
ejpam-6725	39	6	]	]	PUNCT
ejpam-6725	39	7	)	)	PUNCT
ejpam-6725	39	8	utilized	utilize	VERB
ejpam-6725	39	9	laguerre	laguerre	NOUN
ejpam-6725	39	10	and	and	CCONJ
ejpam-6725	39	11	bessel	bessel	ADJ
ejpam-6725	39	12	polynomials	polynomial	NOUN
ejpam-6725	39	13	for	for	ADP
ejpam-6725	39	14	integro	integro	ADJ
ejpam-6725	39	15	-	-	PUNCT
ejpam-6725	39	16	differential	differential	ADJ
ejpam-6725	39	17	and	and	CCONJ
ejpam-6725	39	18	differential	differential	ADJ
ejpam-6725	39	19	-	-	PUNCT
ejpam-6725	39	20	difference	difference	NOUN
ejpam-6725	39	21	equations	equation	NOUN
ejpam-6725	39	22	.	.	PUNCT
ejpam-6725	40	1	recently	recently	ADV
ejpam-6725	40	2	,	,	PUNCT
ejpam-6725	40	3	ramadan	ramadan	PROPN
ejpam-6725	40	4	et	et	PROPN
ejpam-6725	40	5	al	al	PROPN
ejpam-6725	40	6	.	.	PUNCT
ejpam-6725	41	1	[	[	X
ejpam-6725	41	2	31	31	NUM
ejpam-6725	41	3	]	]	PUNCT
ejpam-6725	41	4	introduced	introduce	VERB
ejpam-6725	41	5	a	a	DET
ejpam-6725	41	6	method	method	NOUN
ejpam-6725	41	7	utilizing	utilize	VERB
ejpam-6725	41	8	triangular	triangular	NOUN
ejpam-6725	41	9	functions	function	NOUN
ejpam-6725	41	10	to	to	PART
ejpam-6725	41	11	solve	solve	VERB
ejpam-6725	41	12	systems	system	NOUN
ejpam-6725	41	13	of	of	ADP
ejpam-6725	41	14	linear	linear	ADJ
ejpam-6725	41	15	fredholm	fredholm	ADJ
ejpam-6725	41	16	integral	integral	ADJ
ejpam-6725	41	17	equations	equation	NOUN
ejpam-6725	41	18	by	by	ADP
ejpam-6725	41	19	an	an	DET
ejpam-6725	41	20	efficient	efficient	ADJ
ejpam-6725	41	21	finite	finite	ADJ
ejpam-6725	41	22	iterative	iterative	NOUN
ejpam-6725	41	23	algorithm	algorithm	NOUN
ejpam-6725	41	24	,	,	PUNCT
ejpam-6725	41	25	while	while	SCONJ
ejpam-6725	41	26	arafa	arafa	PROPN
ejpam-6725	41	27	and	and	CCONJ
ejpam-6725	41	28	ramadan	ramadan	PROPN
ejpam-6725	42	1	[	[	X
ejpam-6725	42	2	33	33	NUM
ejpam-6725	42	3	]	]	PUNCT
ejpam-6725	42	4	and	and	CCONJ
ejpam-6725	42	5	legendre	legendre	PROPN
ejpam-6725	42	6	wavelet	wavelet	NOUN
ejpam-6725	42	7	-	-	PUNCT
ejpam-6725	42	8	based	base	VERB
ejpam-6725	42	9	methods	method	NOUN
ejpam-6725	42	10	were	be	AUX
ejpam-6725	42	11	presented	present	VERB
ejpam-6725	42	12	for	for	ADP
ejpam-6725	42	13	addressing	address	VERB
ejpam-6725	42	14	coupled	couple	VERB
ejpam-6725	42	15	fredholm	fredholm	NOUN
ejpam-6725	42	16	systems	system	NOUN
ejpam-6725	42	17	.	.	PUNCT
ejpam-6725	43	1	the	the	DET
ejpam-6725	43	2	structure	structure	NOUN
ejpam-6725	43	3	of	of	ADP
ejpam-6725	43	4	this	this	DET
ejpam-6725	43	5	paper	paper	NOUN
ejpam-6725	43	6	is	be	AUX
ejpam-6725	43	7	as	as	SCONJ
ejpam-6725	43	8	follows	follow	VERB
ejpam-6725	43	9	:	:	PUNCT
ejpam-6725	43	10	section	section	NOUN
ejpam-6725	43	11	1	1	NUM
ejpam-6725	43	12	provides	provide	VERB
ejpam-6725	43	13	the	the	DET
ejpam-6725	43	14	introduction	introduction	NOUN
ejpam-6725	43	15	.	.	PUNCT
ejpam-6725	44	1	in	in	ADP
ejpam-6725	44	2	section	section	NOUN
ejpam-6725	44	3	2	2	NUM
ejpam-6725	44	4	,	,	PUNCT
ejpam-6725	44	5	we	we	PRON
ejpam-6725	44	6	present	present	VERB
ejpam-6725	44	7	key	key	ADJ
ejpam-6725	44	8	definitions	definition	NOUN
ejpam-6725	44	9	and	and	CCONJ
ejpam-6725	44	10	preliminaries	preliminary	NOUN
ejpam-6725	44	11	,	,	PUNCT
ejpam-6725	44	12	including	include	VERB
ejpam-6725	44	13	an	an	DET
ejpam-6725	44	14	overview	overview	NOUN
ejpam-6725	44	15	of	of	ADP
ejpam-6725	44	16	legendre	legendre	PROPN
ejpam-6725	44	17	wavelets	wavelet	NOUN
ejpam-6725	44	18	,	,	PUNCT
ejpam-6725	44	19	their	their	PRON
ejpam-6725	44	20	properties	property	NOUN
ejpam-6725	44	21	,	,	PUNCT
ejpam-6725	44	22	function	function	NOUN
ejpam-6725	44	23	approximation	approximation	NOUN
ejpam-6725	44	24	,	,	PUNCT
ejpam-6725	44	25	and	and	CCONJ
ejpam-6725	44	26	an	an	DET
ejpam-6725	44	27	iterative	iterative	NOUN
ejpam-6725	44	28	algorithm	algorithm	NOUN
ejpam-6725	44	29	for	for	ADP
ejpam-6725	44	30	solving	solve	VERB
ejpam-6725	44	31	coupled	couple	VERB
ejpam-6725	44	32	system	system	NOUN
ejpam-6725	44	33	matrix	matrix	NOUN
ejpam-6725	44	34	equations	equation	NOUN
ejpam-6725	44	35	.	.	PUNCT
ejpam-6725	45	1	section	section	NOUN
ejpam-6725	45	2	3	3	NUM
ejpam-6725	45	3	outlines	outline	VERB
ejpam-6725	45	4	our	our	PRON
ejpam-6725	45	5	proposed	propose	VERB
ejpam-6725	45	6	method	method	NOUN
ejpam-6725	45	7	for	for	ADP
ejpam-6725	45	8	addressing	address	VERB
ejpam-6725	45	9	linear	linear	ADJ
ejpam-6725	45	10	systems	system	NOUN
ejpam-6725	45	11	of	of	ADP
ejpam-6725	45	12	fredholm	fredholm	ADJ
ejpam-6725	45	13	integral	integral	ADJ
ejpam-6725	45	14	equations	equation	NOUN
ejpam-6725	45	15	of	of	ADP
ejpam-6725	45	16	the	the	DET
ejpam-6725	45	17	second	second	ADJ
ejpam-6725	45	18	kind	kind	NOUN
ejpam-6725	45	19	.	.	PUNCT
ejpam-6725	46	1	we	we	PRON
ejpam-6725	46	2	provide	provide	VERB
ejpam-6725	46	3	the	the	DET
ejpam-6725	46	4	convergence	convergence	NOUN
ejpam-6725	46	5	analysis	analysis	NOUN
ejpam-6725	46	6	and	and	CCONJ
ejpam-6725	46	7	error	error	NOUN
ejpam-6725	46	8	estimation	estimation	NOUN
ejpam-6725	46	9	in	in	ADP
ejpam-6725	46	10	section	section	NOUN
ejpam-6725	46	11	4	4	NUM
ejpam-6725	46	12	.	.	PUNCT
ejpam-6725	46	13	section	section	NOUN
ejpam-6725	46	14	5	5	NUM
ejpam-6725	46	15	presents	present	VERB
ejpam-6725	46	16	three	three	NUM
ejpam-6725	46	17	numerical	numerical	ADJ
ejpam-6725	46	18	examples	example	NOUN
ejpam-6725	46	19	that	that	PRON
ejpam-6725	46	20	showcase	showcase	VERB
ejpam-6725	46	21	the	the	DET
ejpam-6725	46	22	precision	precision	NOUN
ejpam-6725	46	23	and	and	CCONJ
ejpam-6725	46	24	effectiveness	effectiveness	NOUN
ejpam-6725	46	25	of	of	ADP
ejpam-6725	46	26	the	the	DET
ejpam-6725	46	27	proposed	propose	VERB
ejpam-6725	46	28	method	method	NOUN
ejpam-6725	46	29	.	.	PUNCT
ejpam-6725	47	1	finally	finally	ADV
ejpam-6725	47	2	,	,	PUNCT
ejpam-6725	47	3	section	section	NOUN
ejpam-6725	47	4	5	5	NUM
ejpam-6725	47	5	concludes	conclude	VERB
ejpam-6725	47	6	the	the	DET
ejpam-6725	47	7	paper	paper	NOUN
ejpam-6725	47	8	by	by	ADP
ejpam-6725	47	9	summarizing	summarize	VERB
ejpam-6725	47	10	the	the	DET
ejpam-6725	47	11	main	main	ADJ
ejpam-6725	47	12	findings	finding	NOUN
ejpam-6725	47	13	.	.	PUNCT
ejpam-6725	48	1	2	2	X
ejpam-6725	48	2	.	.	X
ejpam-6725	48	3	definitions	definition	NOUN
ejpam-6725	48	4	and	and	CCONJ
ejpam-6725	48	5	preliminaries	preliminary	NOUN
ejpam-6725	48	6	2.1	2.1	NUM
ejpam-6725	48	7	.	.	PUNCT
ejpam-6725	49	1	legendre	legendre	PROPN
ejpam-6725	49	2	wavelet	wavelet	PROPN
ejpam-6725	49	3	and	and	CCONJ
ejpam-6725	49	4	its	its	PRON
ejpam-6725	49	5	properties	property	NOUN
ejpam-6725	49	6	considering	consider	VERB
ejpam-6725	49	7	a	a	DET
ejpam-6725	49	8	single	single	ADJ
ejpam-6725	49	9	function	function	NOUN
ejpam-6725	49	10	”	"	PUNCT
ejpam-6725	49	11	mother	mother	NOUN
ejpam-6725	49	12	wavelet	wavelet	NOUN
ejpam-6725	49	13	”	"	PUNCT
ejpam-6725	49	14	ψ(t	ψ(t	PROPN
ejpam-6725	49	15	)	)	PUNCT
ejpam-6725	49	16	,	,	PUNCT
ejpam-6725	49	17	from	from	ADP
ejpam-6725	49	18	which	which	PRON
ejpam-6725	49	19	wavelets	wavelet	NOUN
ejpam-6725	49	20	represent	represent	VERB
ejpam-6725	49	21	a	a	DET
ejpam-6725	49	22	family	family	NOUN
ejpam-6725	49	23	of	of	ADP
ejpam-6725	49	24	functions	function	NOUN
ejpam-6725	49	25	by	by	ADP
ejpam-6725	49	26	dilating	dilate	VERB
ejpam-6725	49	27	and	and	CCONJ
ejpam-6725	49	28	transforming	transform	VERB
ejpam-6725	49	29	this	this	DET
ejpam-6725	49	30	single	single	ADJ
ejpam-6725	49	31	function	function	NOUN
ejpam-6725	49	32	.	.	PUNCT
ejpam-6725	50	1	this	this	DET
ejpam-6725	50	2	family	family	NOUN
ejpam-6725	50	3	of	of	ADP
ejpam-6725	50	4	continuous	continuous	ADJ
ejpam-6725	50	5	wavelets	wavelet	NOUN
ejpam-6725	50	6	[	[	X
ejpam-6725	50	7	17	17	NUM
ejpam-6725	50	8	]	]	PUNCT
ejpam-6725	50	9	has	have	VERB
ejpam-6725	50	10	the	the	DET
ejpam-6725	50	11	following	follow	VERB
ejpam-6725	50	12	form	form	NOUN
ejpam-6725	50	13	:	:	PUNCT
ejpam-6725	50	14	ψa	ψa	NOUN
ejpam-6725	50	15	,	,	PUNCT
ejpam-6725	50	16	b(t	b(t	NOUN
ejpam-6725	50	17	)	)	PUNCT
ejpam-6725	51	1	=	=	PUNCT
ejpam-6725	51	2	|a|−	|a|−	NOUN
ejpam-6725	51	3	1	1	NUM
ejpam-6725	51	4	2	2	NUM
ejpam-6725	51	5	(	(	PUNCT
ejpam-6725	51	6	t−	t−	PROPN
ejpam-6725	51	7	b	b	PROPN
ejpam-6725	51	8	a	a	NOUN
ejpam-6725	51	9	)	)	PUNCT
ejpam-6725	51	10	,	,	PUNCT
ejpam-6725	51	11	a	a	DET
ejpam-6725	51	12	,	,	PUNCT
ejpam-6725	51	13	b	b	X
ejpam-6725	51	14	∈	∈	PROPN
ejpam-6725	51	15	r	r	NOUN
ejpam-6725	51	16	,	,	PUNCT
ejpam-6725	51	17	a	a	PRON
ejpam-6725	51	18	6=	6=	NUM
ejpam-6725	51	19	0	0	NUM
ejpam-6725	51	20	(	(	PUNCT
ejpam-6725	51	21	2.1	2.1	NUM
ejpam-6725	51	22	)	)	PUNCT
ejpam-6725	51	23	the	the	DET
ejpam-6725	51	24	legendre	legendre	PROPN
ejpam-6725	51	25	wavelets	wavelet	NOUN
ejpam-6725	51	26	on	on	ADP
ejpam-6725	51	27	the	the	DET
ejpam-6725	51	28	interval	interval	NOUN
ejpam-6725	51	29	[	[	PUNCT
ejpam-6725	51	30	0,1	0,1	NUM
ejpam-6725	51	31	)	)	PUNCT
ejpam-6725	51	32	defined	define	VERB
ejpam-6725	51	33	by	by	ADP
ejpam-6725	51	34	ψn	ψn	NOUN
ejpam-6725	51	35	,	,	PUNCT
ejpam-6725	51	36	m(t	m(t	NOUN
ejpam-6725	51	37	)	)	PUNCT
ejpam-6725	52	1	=	=	PRON
ejpam-6725	52	2	{	{	PUNCT
ejpam-6725	52	3	√	√	NUM
ejpam-6725	52	4	m+	m+	NUM
ejpam-6725	52	5	1	1	NUM
ejpam-6725	52	6	22	22	NUM
ejpam-6725	52	7	k	k	NOUN
ejpam-6725	52	8	2lm	2lm	NOUN
ejpam-6725	52	9	(	(	PUNCT
ejpam-6725	52	10	2kt−	2kt−	NUM
ejpam-6725	52	11	n̂	n̂	NUM
ejpam-6725	52	12	)	)	PUNCT
ejpam-6725	52	13	,	,	PUNCT
ejpam-6725	52	14	n̂−1	n̂−1	PROPN
ejpam-6725	52	15	2k	2k	PROPN
ejpam-6725	52	16	≤	≤	NUM
ejpam-6725	52	17	t	t	PROPN
ejpam-6725	52	18	<	<	X
ejpam-6725	52	19	n̂+1	n̂+1	PROPN
ejpam-6725	52	20	2k	2k	PROPN
ejpam-6725	52	21	,	,	PUNCT
ejpam-6725	52	22	0	0	NUM
ejpam-6725	52	23	,	,	PUNCT
ejpam-6725	52	24	otherwise	otherwise	ADV
ejpam-6725	52	25	,	,	PUNCT
ejpam-6725	52	26	(	(	PUNCT
ejpam-6725	52	27	2.2	2.2	NUM
ejpam-6725	52	28	)	)	PUNCT
ejpam-6725	52	29	for	for	ADP
ejpam-6725	52	30	which	which	PRON
ejpam-6725	52	31	k	k	PROPN
ejpam-6725	52	32	is	be	AUX
ejpam-6725	52	33	positive	positive	ADJ
ejpam-6725	52	34	integer	integer	NOUN
ejpam-6725	52	35	,	,	PUNCT
ejpam-6725	52	36	n	n	NOUN
ejpam-6725	52	37	=	=	SYM
ejpam-6725	52	38	1	1	NUM
ejpam-6725	52	39	,	,	PUNCT
ejpam-6725	52	40	2	2	NUM
ejpam-6725	52	41	,	,	PUNCT
ejpam-6725	52	42	.	.	PUNCT
ejpam-6725	52	43	.	.	PUNCT
ejpam-6725	53	1	.	.	PUNCT
ejpam-6725	54	1	,	,	PUNCT
ejpam-6725	54	2	2k−1	2k−1	NUM
ejpam-6725	54	3	and	and	CCONJ
ejpam-6725	54	4	n̂	n̂	NUM
ejpam-6725	54	5	=	=	PUNCT
ejpam-6725	55	1	2n−	2n−	NUM
ejpam-6725	55	2	1	1	NUM
ejpam-6725	55	3	,	,	PUNCT
ejpam-6725	55	4	the	the	DET
ejpam-6725	55	5	order	order	NOUN
ejpam-6725	55	6	of	of	ADP
ejpam-6725	55	7	the	the	DET
ejpam-6725	55	8	legendre	legendre	PROPN
ejpam-6725	55	9	polynomial	polynomial	PROPN
ejpam-6725	55	10	is	be	AUX
ejpam-6725	55	11	denoted	denote	VERB
ejpam-6725	55	12	by	by	ADP
ejpam-6725	55	13	m	m	PROPN
ejpam-6725	55	14	=	=	SYM
ejpam-6725	55	15	0	0	NUM
ejpam-6725	55	16	,	,	PUNCT
ejpam-6725	55	17	1	1	NUM
ejpam-6725	55	18	,	,	PUNCT
ejpam-6725	55	19	2	2	NUM
ejpam-6725	55	20	,	,	PUNCT
ejpam-6725	55	21	.	.	PUNCT
ejpam-6725	55	22	.	.	PUNCT
ejpam-6725	56	1	.	.	PUNCT
ejpam-6725	57	1	,	,	PUNCT
ejpam-6725	57	2	m	m	VERB
ejpam-6725	57	3	−	−	NOUN
ejpam-6725	57	4	1	1	NUM
ejpam-6725	57	5	and	and	CCONJ
ejpam-6725	57	6	the	the	DET
ejpam-6725	57	7	normalized	normalize	VERB
ejpam-6725	57	8	time	time	NOUN
ejpam-6725	57	9	is	be	AUX
ejpam-6725	57	10	denoted	denote	VERB
ejpam-6725	57	11	by	by	ADP
ejpam-6725	57	12	t.	t.	PROPN
ejpam-6725	57	13	the	the	DET
ejpam-6725	57	14	legendre	legendre	PROPN
ejpam-6725	57	15	polynomials	polynomial	NOUN
ejpam-6725	57	16	lm	lm	X
ejpam-6725	57	17	which	which	PRON
ejpam-6725	57	18	are	be	AUX
ejpam-6725	57	19	obtained	obtain	VERB
ejpam-6725	57	20	in	in	ADP
ejpam-6725	57	21	the	the	DET
ejpam-6725	57	22	above	above	ADJ
ejpam-6725	57	23	definition	definition	NOUN
ejpam-6725	57	24	is	be	AUX
ejpam-6725	57	25	proposed	propose	VERB
ejpam-6725	57	26	as	as	SCONJ
ejpam-6725	57	27	follows	follow	VERB
ejpam-6725	57	28	:	:	PUNCT
ejpam-6725	57	29	l0(t	l0(t	X
ejpam-6725	57	30	)	)	PUNCT
ejpam-6725	57	31	=	=	SYM
ejpam-6725	57	32	1	1	NUM
ejpam-6725	57	33	,	,	PUNCT
ejpam-6725	57	34	l1(t	l1(t	PROPN
ejpam-6725	57	35	)	)	PUNCT
ejpam-6725	57	36	=	=	SYM
ejpam-6725	57	37	t	t	PROPN
ejpam-6725	57	38	,	,	PUNCT
ejpam-6725	57	39	lm+1(t	lm+1(t	PROPN
ejpam-6725	57	40	)	)	PUNCT
ejpam-6725	58	1	=	=	SYM
ejpam-6725	58	2	2m+	2m+	NUM
ejpam-6725	58	3	1	1	NUM
ejpam-6725	58	4	m+	m+	NUM
ejpam-6725	58	5	1	1	NUM
ejpam-6725	59	1	tlm(t)−	tlm(t)−	PROPN
ejpam-6725	59	2	m	m	VERB
ejpam-6725	59	3	m+	m+	NUM
ejpam-6725	59	4	1	1	NUM
ejpam-6725	59	5	lm−1(t	lm−1(t	NUM
ejpam-6725	59	6	)	)	PUNCT
ejpam-6725	59	7	,	,	PUNCT
ejpam-6725	59	8	m	m	VERB
ejpam-6725	59	9	=	=	NOUN
ejpam-6725	59	10	1	1	NUM
ejpam-6725	59	11	,	,	PUNCT
ejpam-6725	59	12	2	2	NUM
ejpam-6725	59	13	,	,	PUNCT
ejpam-6725	59	14	3	3	NUM
ejpam-6725	59	15	,	,	PUNCT
ejpam-6725	59	16	.	.	PUNCT
ejpam-6725	59	17	.	.	PUNCT
ejpam-6725	59	18	.	.	PUNCT
ejpam-6725	60	1	(	(	PUNCT
ejpam-6725	60	2	2.3	2.3	NUM
ejpam-6725	60	3	)	)	PUNCT
ejpam-6725	60	4	which	which	PRON
ejpam-6725	60	5	are	be	AUX
ejpam-6725	60	6	orthogonal	orthogonal	ADJ
ejpam-6725	60	7	over	over	ADP
ejpam-6725	60	8	[	[	X
ejpam-6725	60	9	-1,1	-1,1	X
ejpam-6725	60	10	]	]	PUNCT
ejpam-6725	60	11	with	with	ADP
ejpam-6725	60	12	weighting	weight	VERB
ejpam-6725	60	13	function	function	NOUN
ejpam-6725	60	14	.	.	PUNCT
ejpam-6725	61	1	2.2	2.2	NUM
ejpam-6725	61	2	.	.	PUNCT
ejpam-6725	62	1	function	function	NOUN
ejpam-6725	62	2	approximation	approximation	NOUN
ejpam-6725	62	3	a	a	DET
ejpam-6725	62	4	function	function	NOUN
ejpam-6725	62	5	f(t	f(t	NOUN
ejpam-6725	62	6	)	)	PUNCT
ejpam-6725	62	7	which	which	PRON
ejpam-6725	62	8	is	be	AUX
ejpam-6725	62	9	defined	define	VERB
ejpam-6725	62	10	on	on	ADP
ejpam-6725	62	11	[	[	X
ejpam-6725	62	12	0	0	NUM
ejpam-6725	62	13	,	,	PUNCT
ejpam-6725	62	14	1	1	NUM
ejpam-6725	62	15	)	)	PUNCT
ejpam-6725	62	16	can	can	AUX
ejpam-6725	62	17	be	be	AUX
ejpam-6725	62	18	extended	extend	VERB
ejpam-6725	62	19	as	as	ADP
ejpam-6725	62	20	legendre	legendre	PROPN
ejpam-6725	62	21	wavelet	wavelet	PROPN
ejpam-6725	62	22	infinite	infinite	PROPN
ejpam-6725	62	23	series	series	NOUN
ejpam-6725	62	24	of	of	ADP
ejpam-6725	62	25	the	the	DET
ejpam-6725	62	26	following	follow	VERB
ejpam-6725	62	27	type	type	NOUN
ejpam-6725	62	28	f(t	f(t	NOUN
ejpam-6725	62	29	)	)	PUNCT
ejpam-6725	63	1	=	=	SYM
ejpam-6725	64	1	∞∑	∞∑	NUM
ejpam-6725	64	2	n=1	n=1	ADP
ejpam-6725	64	3	∞∑	∞∑	PROPN
ejpam-6725	64	4	m=0	m=0	PROPN
ejpam-6725	64	5	cn	cn	PROPN
ejpam-6725	64	6	,	,	PUNCT
ejpam-6725	64	7	mψn	mψn	PROPN
ejpam-6725	64	8	,	,	PUNCT
ejpam-6725	64	9	m	m	PRON
ejpam-6725	64	10	,	,	PUNCT
ejpam-6725	64	11	(	(	PUNCT
ejpam-6725	64	12	2.4	2.4	NUM
ejpam-6725	64	13	)	)	PUNCT
ejpam-6725	64	14	m.	m.	NOUN
ejpam-6725	64	15	a.	a.	PROPN
ejpam-6725	64	16	ramadan	ramadan	PROPN
ejpam-6725	64	17	et	et	PROPN
ejpam-6725	64	18	al	al	PROPN
ejpam-6725	64	19	.	.	PUNCT
ejpam-6725	64	20	/	/	SYM
ejpam-6725	64	21	eur	eur	PROPN
ejpam-6725	64	22	.	.	PUNCT
ejpam-6725	65	1	j.	j.	PROPN
ejpam-6725	65	2	pure	pure	PROPN
ejpam-6725	65	3	appl	appl	PROPN
ejpam-6725	65	4	.	.	PROPN
ejpam-6725	65	5	math	math	PROPN
ejpam-6725	65	6	,	,	PUNCT
ejpam-6725	65	7	18	18	NUM
ejpam-6725	65	8	(	(	PUNCT
ejpam-6725	65	9	4	4	NUM
ejpam-6725	65	10	)	)	PUNCT
ejpam-6725	65	11	(	(	PUNCT
ejpam-6725	65	12	2025	2025	NUM
ejpam-6725	65	13	)	)	PUNCT
ejpam-6725	65	14	,	,	PUNCT
ejpam-6725	65	15	6725	6725	NUM
ejpam-6725	65	16	3	3	NUM
ejpam-6725	65	17	of	of	ADP
ejpam-6725	65	18	18	18	NUM
ejpam-6725	65	19	where	where	SCONJ
ejpam-6725	65	20	cn	cn	PROPN
ejpam-6725	65	21	,	,	PUNCT
ejpam-6725	65	22	m	m	VERB
ejpam-6725	65	23	=	=	PUNCT
ejpam-6725	65	24	〈	〈	PROPN
ejpam-6725	65	25	f	f	X
ejpam-6725	65	26	,	,	PUNCT
ejpam-6725	65	27	ψn	ψn	INTJ
ejpam-6725	65	28	,	,	PUNCT
ejpam-6725	65	29	m	m	PROPN
ejpam-6725	65	30	〉	〉	NOUN
ejpam-6725	65	31	.	.	PUNCT
ejpam-6725	66	1	after	after	ADP
ejpam-6725	66	2	being	be	AUX
ejpam-6725	66	3	trimmed	trim	VERB
ejpam-6725	66	4	,	,	PUNCT
ejpam-6725	66	5	eq	eq	ADJ
ejpam-6725	66	6	.	.	PUNCT
ejpam-6725	66	7	(	(	PUNCT
ejpam-6725	66	8	2.4	2.4	NUM
ejpam-6725	66	9	)	)	PUNCT
ejpam-6725	66	10	can	can	AUX
ejpam-6725	66	11	be	be	AUX
ejpam-6725	66	12	rewritten	rewrite	VERB
ejpam-6725	66	13	as	as	SCONJ
ejpam-6725	66	14	follows	follow	VERB
ejpam-6725	66	15	.	.	PUNCT
ejpam-6725	67	1	f(t	f(t	NOUN
ejpam-6725	67	2	)	)	PUNCT
ejpam-6725	68	1	≈	≈	PROPN
ejpam-6725	68	2	2k−1∑	2k−1∑	NUM
ejpam-6725	68	3	n=1	n=1	PROPN
ejpam-6725	68	4	cn	cn	PROPN
ejpam-6725	68	5	,	,	PUNCT
ejpam-6725	68	6	m	m	PROPN
ejpam-6725	68	7	m∑	m∑	NOUN
ejpam-6725	68	8	m=1	m=1	X
ejpam-6725	68	9	ψn	ψn	PROPN
ejpam-6725	68	10	,	,	PUNCT
ejpam-6725	68	11	m	m	VERB
ejpam-6725	68	12	=	=	ADJ
ejpam-6725	68	13	ctψ(t	ctψ(t	PROPN
ejpam-6725	68	14	)	)	PUNCT
ejpam-6725	68	15	,	,	PUNCT
ejpam-6725	68	16	(	(	PUNCT
ejpam-6725	68	17	2.5	2.5	NUM
ejpam-6725	68	18	)	)	PUNCT
ejpam-6725	68	19	where	where	SCONJ
ejpam-6725	68	20	c	c	NOUN
ejpam-6725	68	21	=	=	PUNCT
ejpam-6725	68	22	[	[	PUNCT
ejpam-6725	68	23	cl,0	cl,0	PROPN
ejpam-6725	68	24	cl,1	cl,1	PROPN
ejpam-6725	68	25	.	.	PUNCT
ejpam-6725	68	26	.	.	PUNCT
ejpam-6725	68	27	.	.	PUNCT
ejpam-6725	69	1	cl	cl	NOUN
ejpam-6725	69	2	,	,	PUNCT
ejpam-6725	69	3	m−1	m−1	PROPN
ejpam-6725	69	4	.	.	PUNCT
ejpam-6725	69	5	.	.	PUNCT
ejpam-6725	69	6	.	.	PUNCT
ejpam-6725	70	1	c2k−1,0	c2k−1,0	PROPN
ejpam-6725	70	2	c2k−1,1	c2k−1,1	PROPN
ejpam-6725	70	3	·	·	PUNCT
ejpam-6725	70	4	·	·	PUNCT
ejpam-6725	70	5	·	·	PUNCT
ejpam-6725	71	1	c2k−1,m−1	c2k−1,m−1	NOUN
ejpam-6725	72	1	]	]	X
ejpam-6725	72	2	t	t	X
ejpam-6725	72	3	,	,	PUNCT
ejpam-6725	72	4	and	and	CCONJ
ejpam-6725	72	5	ψ(t	ψ(t	PROPN
ejpam-6725	72	6	)	)	PUNCT
ejpam-6725	73	1	=	=	NOUN
ejpam-6725	74	1	[	[	PUNCT
ejpam-6725	74	2	ψ1,0	ψ1,0	ADV
ejpam-6725	74	3	ψ1,1	ψ1,1	PROPN
ejpam-6725	74	4	.	.	PUNCT
ejpam-6725	74	5	.	.	PUNCT
ejpam-6725	74	6	.	.	PUNCT
ejpam-6725	75	1	ψ1,m−1	ψ1,m−1	PROPN
ejpam-6725	75	2	.	.	PUNCT
ejpam-6725	75	3	.	.	PUNCT
ejpam-6725	75	4	.	.	PUNCT
ejpam-6725	76	1	ψ2k−1,0	ψ2k−1,0	PROPN
ejpam-6725	76	2	ψ2k−1,1	ψ2k−1,1	NOUN
ejpam-6725	76	3	.	.	PUNCT
ejpam-6725	76	4	.	.	PUNCT
ejpam-6725	77	1	.	.	PUNCT
ejpam-6725	78	1	ψ2k−1,m−1	ψ2k−1,m−1	NOUN
ejpam-6725	78	2	]	]	PUNCT
ejpam-6725	78	3	t	t	X
ejpam-6725	78	4	.	.	PUNCT
ejpam-6725	79	1	2.3	2.3	NUM
ejpam-6725	79	2	.	.	PUNCT
ejpam-6725	80	1	iterative	iterative	ADJ
ejpam-6725	80	2	algorithm	algorithm	NOUN
ejpam-6725	80	3	for	for	ADP
ejpam-6725	80	4	solving	solve	VERB
ejpam-6725	80	5	the	the	DET
ejpam-6725	80	6	coupled	couple	VERB
ejpam-6725	80	7	system	system	NOUN
ejpam-6725	80	8	matrix	matrix	NOUN
ejpam-6725	80	9	equations	equation	NOUN
ejpam-6725	80	10	finite	finite	VERB
ejpam-6725	80	11	iterative	iterative	NOUN
ejpam-6725	80	12	methods	method	NOUN
ejpam-6725	80	13	are	be	AUX
ejpam-6725	80	14	a	a	DET
ejpam-6725	80	15	class	class	NOUN
ejpam-6725	80	16	of	of	ADP
ejpam-6725	80	17	numerical	numerical	ADJ
ejpam-6725	80	18	algorithms	algorithm	NOUN
ejpam-6725	80	19	designed	design	VERB
ejpam-6725	80	20	to	to	PART
ejpam-6725	80	21	solve	solve	VERB
ejpam-6725	80	22	matrix	matrix	NOUN
ejpam-6725	80	23	equations	equation	NOUN
ejpam-6725	80	24	and	and	CCONJ
ejpam-6725	80	25	coupled	couple	VERB
ejpam-6725	80	26	matrix	matrix	NOUN
ejpam-6725	80	27	equations	equation	NOUN
ejpam-6725	80	28	by	by	ADP
ejpam-6725	80	29	reaching	reach	VERB
ejpam-6725	80	30	the	the	DET
ejpam-6725	80	31	exact	exact	ADJ
ejpam-6725	80	32	solution	solution	NOUN
ejpam-6725	80	33	in	in	ADP
ejpam-6725	80	34	a	a	DET
ejpam-6725	80	35	finite	finite	ADJ
ejpam-6725	80	36	number	number	NOUN
ejpam-6725	80	37	of	of	ADP
ejpam-6725	80	38	steps	step	NOUN
ejpam-6725	80	39	,	,	PUNCT
ejpam-6725	80	40	assuming	assume	VERB
ejpam-6725	80	41	exact	exact	ADJ
ejpam-6725	80	42	arithmetic	arithmetic	ADJ
ejpam-6725	80	43	.	.	PUNCT
ejpam-6725	81	1	unlike	unlike	ADP
ejpam-6725	81	2	traditional	traditional	ADJ
ejpam-6725	81	3	iterative	iterative	NOUN
ejpam-6725	81	4	methods	method	NOUN
ejpam-6725	81	5	that	that	PRON
ejpam-6725	81	6	converge	converge	VERB
ejpam-6725	81	7	asymptotically	asymptotically	ADV
ejpam-6725	81	8	,	,	PUNCT
ejpam-6725	81	9	these	these	DET
ejpam-6725	81	10	methods	method	NOUN
ejpam-6725	81	11	terminate	terminate	VERB
ejpam-6725	81	12	after	after	ADP
ejpam-6725	81	13	a	a	DET
ejpam-6725	81	14	predetermined	predetermine	VERB
ejpam-6725	81	15	number	number	NOUN
ejpam-6725	81	16	of	of	ADP
ejpam-6725	81	17	iterations	iteration	NOUN
ejpam-6725	81	18	,	,	PUNCT
ejpam-6725	81	19	making	make	VERB
ejpam-6725	81	20	them	they	PRON
ejpam-6725	81	21	highly	highly	ADV
ejpam-6725	81	22	efficient	efficient	ADJ
ejpam-6725	81	23	and	and	CCONJ
ejpam-6725	81	24	predictable	predictable	ADJ
ejpam-6725	81	25	in	in	ADP
ejpam-6725	81	26	computational	computational	ADJ
ejpam-6725	81	27	cost	cost	NOUN
ejpam-6725	81	28	.	.	PUNCT
ejpam-6725	82	1	for	for	ADP
ejpam-6725	82	2	example	example	NOUN
ejpam-6725	82	3	,	,	PUNCT
ejpam-6725	82	4	see	see	VERB
ejpam-6725	82	5	ramadan	ramadan	PROPN
ejpam-6725	82	6	et	et	PROPN
ejpam-6725	82	7	al	al	PROPN
ejpam-6725	82	8	.	.	PUNCT
ejpam-6725	83	1	[	[	X
ejpam-6725	83	2	20	20	NUM
ejpam-6725	83	3	]	]	PUNCT
ejpam-6725	83	4	extended	extended	ADJ
ejpam-6725	83	5	and	and	CCONJ
ejpam-6725	83	6	generalized	generalize	VERB
ejpam-6725	83	7	finite	finite	ADJ
ejpam-6725	83	8	iterative	iterative	NOUN
ejpam-6725	83	9	solution	solution	NOUN
ejpam-6725	83	10	techniques	technique	NOUN
ejpam-6725	83	11	previously	previously	ADV
ejpam-6725	83	12	applied	apply	VERB
ejpam-6725	83	13	to	to	ADP
ejpam-6725	83	14	specific	specific	ADJ
ejpam-6725	83	15	sylvester	sylvester	NOUN
ejpam-6725	83	16	-	-	PUNCT
ejpam-6725	83	17	type	type	NOUN
ejpam-6725	83	18	equations	equation	NOUN
ejpam-6725	83	19	.	.	PUNCT
ejpam-6725	84	1	moreover	moreover	ADV
ejpam-6725	84	2	,	,	PUNCT
ejpam-6725	84	3	ramdan	ramdan	PROPN
ejpam-6725	84	4	et	et	PROPN
ejpam-6725	84	5	al	al	PROPN
ejpam-6725	84	6	.	.	PUNCT
ejpam-6725	85	1	[	[	X
ejpam-6725	85	2	21	21	NUM
ejpam-6725	85	3	]	]	PUNCT
ejpam-6725	85	4	developed	develop	VERB
ejpam-6725	85	5	an	an	DET
ejpam-6725	85	6	iterative	iterative	NOUN
ejpam-6725	85	7	method	method	NOUN
ejpam-6725	85	8	tailored	tailor	VERB
ejpam-6725	85	9	for	for	ADP
ejpam-6725	85	10	bisymmetric	bisymmetric	ADJ
ejpam-6725	85	11	structured	structure	VERB
ejpam-6725	85	12	solutions	solution	NOUN
ejpam-6725	85	13	,	,	PUNCT
ejpam-6725	85	14	focused	focus	VERB
ejpam-6725	85	15	on	on	ADP
ejpam-6725	85	16	least	least	ADJ
ejpam-6725	85	17	-	-	PUNCT
ejpam-6725	85	18	norm	norm	NOUN
ejpam-6725	85	19	generalized	generalized	ADJ
ejpam-6725	85	20	solutions	solution	NOUN
ejpam-6725	85	21	.	.	PUNCT
ejpam-6725	86	1	ramadan	ramadan	PROPN
ejpam-6725	86	2	and	and	CCONJ
ejpam-6725	86	3	ali	ali	PROPN
ejpam-6725	87	1	[	[	X
ejpam-6725	87	2	10	10	NUM
ejpam-6725	87	3	]	]	PUNCT
ejpam-6725	87	4	used	use	VERB
ejpam-6725	87	5	orthogonal	orthogonal	ADJ
ejpam-6725	87	6	triangular	triangular	NOUN
ejpam-6725	87	7	functions	function	NOUN
ejpam-6725	87	8	to	to	PART
ejpam-6725	87	9	convert	convert	VERB
ejpam-6725	87	10	the	the	DET
ejpam-6725	87	11	linear	linear	ADJ
ejpam-6725	87	12	system	system	NOUN
ejpam-6725	87	13	of	of	ADP
ejpam-6725	87	14	fredholm	fredholm	ADJ
ejpam-6725	87	15	integral	integral	ADJ
ejpam-6725	87	16	equations	equation	NOUN
ejpam-6725	87	17	into	into	ADP
ejpam-6725	87	18	a	a	DET
ejpam-6725	87	19	coupled	couple	VERB
ejpam-6725	87	20	matrix	matrix	NOUN
ejpam-6725	87	21	equation	equation	NOUN
ejpam-6725	87	22	,	,	PUNCT
ejpam-6725	87	23	then	then	ADV
ejpam-6725	87	24	applies	apply	VERB
ejpam-6725	87	25	a	a	DET
ejpam-6725	87	26	finite	finite	ADJ
ejpam-6725	87	27	iterative	iterative	NOUN
ejpam-6725	87	28	algorithm	algorithm	NOUN
ejpam-6725	87	29	.	.	PUNCT
ejpam-6725	88	1	in	in	ADP
ejpam-6725	88	2	addition	addition	NOUN
ejpam-6725	88	3	,	,	PUNCT
ejpam-6725	88	4	ramadan	ramadan	PROPN
ejpam-6725	88	5	et	et	PROPN
ejpam-6725	88	6	al	al	PROPN
ejpam-6725	88	7	.	.	PUNCT
ejpam-6725	89	1	[	[	X
ejpam-6725	89	2	23	23	NUM
ejpam-6725	89	3	]	]	PUNCT
ejpam-6725	89	4	extended	extend	VERB
ejpam-6725	89	5	the	the	DET
ejpam-6725	89	6	triangular	triangular	NOUN
ejpam-6725	89	7	function	function	NOUN
ejpam-6725	89	8	coupled	couple	VERB
ejpam-6725	89	9	with	with	ADP
ejpam-6725	89	10	finite	finite	ADJ
ejpam-6725	89	11	iterative	iterative	NOUN
ejpam-6725	89	12	method	method	NOUN
ejpam-6725	89	13	to	to	ADP
ejpam-6725	89	14	2d	2d	NUM
ejpam-6725	89	15	fuzzy	fuzzy	ADJ
ejpam-6725	89	16	fredholm	fredholm	ADJ
ejpam-6725	89	17	integral	integral	ADJ
ejpam-6725	89	18	equations	equation	NOUN
ejpam-6725	89	19	,	,	PUNCT
ejpam-6725	89	20	transforming	transform	VERB
ejpam-6725	89	21	them	they	PRON
ejpam-6725	89	22	into	into	ADP
ejpam-6725	89	23	a	a	DET
ejpam-6725	89	24	coupled	couple	VERB
ejpam-6725	89	25	algebraic	algebraic	ADJ
ejpam-6725	89	26	system	system	NOUN
ejpam-6725	89	27	and	and	CCONJ
ejpam-6725	89	28	solving	solve	VERB
ejpam-6725	89	29	with	with	ADP
ejpam-6725	89	30	finite	finite	ADJ
ejpam-6725	89	31	iteration	iteration	NOUN
ejpam-6725	89	32	.	.	PUNCT
ejpam-6725	90	1	recently	recently	ADV
ejpam-6725	90	2	,	,	PUNCT
ejpam-6725	90	3	ramadan	ramadan	PROPN
ejpam-6725	90	4	et	et	PROPN
ejpam-6725	90	5	al	al	PROPN
ejpam-6725	90	6	.	.	PUNCT
ejpam-6725	91	1	[	[	X
ejpam-6725	91	2	33	33	NUM
ejpam-6725	91	3	]	]	PUNCT
ejpam-6725	91	4	approximated	approximate	VERB
ejpam-6725	91	5	the	the	DET
ejpam-6725	91	6	solution	solution	NOUN
ejpam-6725	91	7	of	of	ADP
ejpam-6725	91	8	system	system	NOUN
ejpam-6725	91	9	of	of	ADP
ejpam-6725	91	10	linear	linear	ADJ
ejpam-6725	91	11	fredholm	fredholm	ADJ
ejpam-6725	91	12	integral	integral	ADJ
ejpam-6725	91	13	equations	equation	NOUN
ejpam-6725	91	14	via	via	ADP
ejpam-6725	91	15	a	a	DET
ejpam-6725	91	16	set	set	NOUN
ejpam-6725	91	17	of	of	ADP
ejpam-6725	91	18	orthogonal	orthogonal	ADJ
ejpam-6725	91	19	triangular	triangular	NOUN
ejpam-6725	91	20	functions	function	NOUN
ejpam-6725	91	21	,	,	PUNCT
ejpam-6725	91	22	which	which	PRON
ejpam-6725	91	23	converts	convert	VERB
ejpam-6725	91	24	the	the	DET
ejpam-6725	91	25	continuous	continuous	ADJ
ejpam-6725	91	26	integral	integral	ADJ
ejpam-6725	91	27	equations	equation	NOUN
ejpam-6725	91	28	into	into	ADP
ejpam-6725	91	29	four	four	NUM
ejpam-6725	91	30	coupled	couple	VERB
ejpam-6725	91	31	algebraic	algebraic	ADJ
ejpam-6725	91	32	matrix	matrix	NOUN
ejpam-6725	91	33	equations	equation	NOUN
ejpam-6725	91	34	.	.	PUNCT
ejpam-6725	92	1	these	these	DET
ejpam-6725	92	2	matrix	matrix	NOUN
ejpam-6725	92	3	equations	equation	NOUN
ejpam-6725	92	4	are	be	AUX
ejpam-6725	92	5	then	then	ADV
ejpam-6725	92	6	tackled	tackle	VERB
ejpam-6725	92	7	with	with	ADP
ejpam-6725	92	8	an	an	DET
ejpam-6725	92	9	efficient	efficient	ADJ
ejpam-6725	92	10	finite	finite	ADJ
ejpam-6725	92	11	-	-	ADJ
ejpam-6725	92	12	step	step	ADJ
ejpam-6725	92	13	iterative	iterative	NOUN
ejpam-6725	92	14	algorithm	algorithm	NOUN
ejpam-6725	92	15	.	.	PUNCT
ejpam-6725	93	1	based	base	VERB
ejpam-6725	93	2	on	on	ADP
ejpam-6725	93	3	the	the	DET
ejpam-6725	93	4	finite	finite	ADJ
ejpam-6725	93	5	-	-	ADJ
ejpam-6725	93	6	step	step	ADJ
ejpam-6725	93	7	iterative	iterative	NOUN
ejpam-6725	93	8	algorithms	algorithm	NOUN
ejpam-6725	93	9	developed	develop	VERB
ejpam-6725	93	10	in	in	ADP
ejpam-6725	93	11	the	the	DET
ejpam-6725	93	12	literature	literature	NOUN
ejpam-6725	93	13	,	,	PUNCT
ejpam-6725	93	14	particularly	particularly	ADV
ejpam-6725	93	15	those	those	PRON
ejpam-6725	93	16	introduced	introduce	VERB
ejpam-6725	93	17	by	by	ADP
ejpam-6725	93	18	m.a	m.a	PROPN
ejpam-6725	93	19	.	.	PROPN
ejpam-6725	93	20	ramadan	ramadan	PROPN
ejpam-6725	93	21	et	et	PROPN
ejpam-6725	93	22	al	al	PROPN
ejpam-6725	93	23	.	.	PUNCT
ejpam-6725	94	1	[	[	X
ejpam-6725	94	2	10,20,2123,33	10,20,2123,33	X
ejpam-6725	94	3	]	]	PUNCT
ejpam-6725	94	4	and	and	CCONJ
ejpam-6725	94	5	other	other	ADJ
ejpam-6725	94	6	related	related	ADJ
ejpam-6725	94	7	works	work	NOUN
ejpam-6725	94	8	,	,	PUNCT
ejpam-6725	94	9	we	we	PRON
ejpam-6725	94	10	propose	propose	VERB
ejpam-6725	94	11	in	in	ADP
ejpam-6725	94	12	this	this	DET
ejpam-6725	94	13	subsection	subsection	NOUN
ejpam-6725	94	14	a	a	DET
ejpam-6725	94	15	new	new	ADJ
ejpam-6725	94	16	iterative	iterative	NOUN
ejpam-6725	94	17	algorithm	algorithm	NOUN
ejpam-6725	94	18	for	for	ADP
ejpam-6725	94	19	solving	solve	VERB
ejpam-6725	94	20	a	a	DET
ejpam-6725	94	21	coupled	couple	VERB
ejpam-6725	94	22	system	system	NOUN
ejpam-6725	94	23	of	of	ADP
ejpam-6725	94	24	linear	linear	ADJ
ejpam-6725	94	25	matrix	matrix	NOUN
ejpam-6725	94	26	equations	equation	NOUN
ejpam-6725	94	27	of	of	ADP
ejpam-6725	94	28	the	the	DET
ejpam-6725	94	29	forms	form	NOUN
ejpam-6725	94	30	:	:	PUNCT
ejpam-6725	94	31	a1c1	a1c1	DET
ejpam-6725	94	32	+	+	NOUN
ejpam-6725	94	33	b1c2	b1c2	NOUN
ejpam-6725	94	34	=	=	SYM
ejpam-6725	94	35	f	f	PROPN
ejpam-6725	94	36	and	and	CCONJ
ejpam-6725	94	37	a2c1	a2c1	PROPN
ejpam-6725	95	1	+	+	NOUN
ejpam-6725	95	2	b2c2	b2c2	PROPN
ejpam-6725	95	3	=	=	ADJ
ejpam-6725	95	4	g.	g.	NOUN
ejpam-6725	95	5	algorithm	algorithm	PROPN
ejpam-6725	95	6	2.1	2.1	NUM
ejpam-6725	95	7	1input	1input	NUM
ejpam-6725	95	8	a1	a1	NOUN
ejpam-6725	95	9	,	,	PUNCT
ejpam-6725	95	10	b1	b1	NOUN
ejpam-6725	95	11	,	,	PUNCT
ejpam-6725	95	12	a2	a2	PROPN
ejpam-6725	95	13	,	,	PUNCT
ejpam-6725	95	14	b2	b2	NOUN
ejpam-6725	95	15	,	,	PUNCT
ejpam-6725	95	16	f	f	X
ejpam-6725	95	17	,	,	PUNCT
ejpam-6725	95	18	g	g	PROPN
ejpam-6725	95	19	2choose	2choose	NUM
ejpam-6725	95	20	arbitrary	arbitrary	ADJ
ejpam-6725	95	21	vectors	vector	NOUN
ejpam-6725	95	22	c11	c11	NOUN
ejpam-6725	95	23	∈	∈	PROPN
ejpam-6725	95	24	cn×1	cn×1	PROPN
ejpam-6725	95	25	and	and	CCONJ
ejpam-6725	95	26	c21	c21	NOUN
ejpam-6725	95	27	∈	∈	PROPN
ejpam-6725	95	28	cn×1	cn×1	PROPN
ejpam-6725	95	29	3set	3set	PROPN
ejpam-6725	95	30	r1	r1	NOUN
ejpam-6725	95	31	=	=	SYM
ejpam-6725	95	32	diag	diag	NOUN
ejpam-6725	95	33	(	(	PUNCT
ejpam-6725	95	34	f	f	PROPN
ejpam-6725	95	35	−	−	PROPN
ejpam-6725	95	36	f	f	PROPN
ejpam-6725	95	37	(	(	PUNCT
ejpam-6725	95	38	c11	c11	NOUN
ejpam-6725	95	39	,	,	PUNCT
ejpam-6725	95	40	c21	c21	PROPN
ejpam-6725	95	41	)	)	PUNCT
ejpam-6725	95	42	,	,	PUNCT
ejpam-6725	95	43	(	(	PUNCT
ejpam-6725	95	44	g−	g−	PROPN
ejpam-6725	95	45	g	g	NOUN
ejpam-6725	95	46	(	(	PUNCT
ejpam-6725	95	47	c11	c11	NOUN
ejpam-6725	95	48	,	,	PUNCT
ejpam-6725	95	49	c21	c21	NOUN
ejpam-6725	95	50	)	)	PUNCT
ejpam-6725	95	51	)	)	PUNCT
ejpam-6725	95	52	,	,	PUNCT
ejpam-6725	95	53	s1	s1	NOUN
ejpam-6725	95	54	=	=	PUNCT
ejpam-6725	95	55	at	at	ADP
ejpam-6725	95	56	1	1	NUM
ejpam-6725	95	57	(	(	PUNCT
ejpam-6725	95	58	f−	f−	PROPN
ejpam-6725	95	59	f	f	PROPN
ejpam-6725	95	60	(	(	PUNCT
ejpam-6725	95	61	c11	c11	NOUN
ejpam-6725	95	62	,	,	PUNCT
ejpam-6725	95	63	c21	c21	NOUN
ejpam-6725	95	64	)	)	PUNCT
ejpam-6725	95	65	)	)	PUNCT
ejpam-6725	96	1	+	+	ADV
ejpam-6725	96	2	at	at	ADP
ejpam-6725	96	3	2	2	NUM
ejpam-6725	96	4	(	(	PUNCT
ejpam-6725	96	5	g−	g−	PROPN
ejpam-6725	96	6	g	g	PROPN
ejpam-6725	96	7	(	(	PUNCT
ejpam-6725	96	8	c11	c11	NOUN
ejpam-6725	96	9	,	,	PUNCT
ejpam-6725	96	10	c21	c21	NOUN
ejpam-6725	96	11	)	)	PUNCT
ejpam-6725	96	12	)	)	PUNCT
ejpam-6725	96	13	,	,	PUNCT
ejpam-6725	96	14	t1	t1	NOUN
ejpam-6725	96	15	=	=	PUNCT
ejpam-6725	96	16	bt	bt	PROPN
ejpam-6725	96	17	1	1	NUM
ejpam-6725	96	18	(	(	PUNCT
ejpam-6725	96	19	f−	f−	PROPN
ejpam-6725	96	20	f	f	PROPN
ejpam-6725	96	21	(	(	PUNCT
ejpam-6725	96	22	c11	c11	NOUN
ejpam-6725	96	23	,	,	PUNCT
ejpam-6725	96	24	c21	c21	NOUN
ejpam-6725	96	25	)	)	PUNCT
ejpam-6725	96	26	)	)	PUNCT
ejpam-6725	97	1	+	+	ADP
ejpam-6725	97	2	bt	bt	NOUN
ejpam-6725	97	3	2	2	NUM
ejpam-6725	97	4	(	(	PUNCT
ejpam-6725	97	5	g−	g−	PROPN
ejpam-6725	97	6	g	g	NOUN
ejpam-6725	97	7	(	(	PUNCT
ejpam-6725	97	8	c11	c11	NOUN
ejpam-6725	97	9	,	,	PUNCT
ejpam-6725	97	10	c21	c21	NOUN
ejpam-6725	97	11	)	)	PUNCT
ejpam-6725	97	12	)	)	PUNCT
ejpam-6725	97	13	,	,	PUNCT
ejpam-6725	97	14	where	where	SCONJ
ejpam-6725	97	15	f	f	PROPN
ejpam-6725	97	16	(	(	PUNCT
ejpam-6725	97	17	c11	c11	NOUN
ejpam-6725	97	18	,	,	PUNCT
ejpam-6725	97	19	c11	c11	NOUN
ejpam-6725	97	20	)	)	PUNCT
ejpam-6725	97	21	=	=	PUNCT
ejpam-6725	98	1	a1c11	a1c11	PROPN
ejpam-6725	98	2	+	+	NOUN
ejpam-6725	98	3	b1c21	b1c21	X
ejpam-6725	98	4	g	g	NOUN
ejpam-6725	98	5	(	(	PUNCT
ejpam-6725	98	6	c11	c11	NOUN
ejpam-6725	98	7	,	,	PUNCT
ejpam-6725	98	8	c21	c21	NOUN
ejpam-6725	98	9	)	)	PUNCT
ejpam-6725	98	10	=	=	PUNCT
ejpam-6725	99	1	a2c11	a2c11	PROPN
ejpam-6725	99	2	+	+	ADJ
ejpam-6725	99	3	b2c21	b2c21	NOUN
ejpam-6725	99	4	4if	4if	ADJ
ejpam-6725	99	5	rk	rk	NOUN
ejpam-6725	99	6	=	=	NOUN
ejpam-6725	99	7	0	0	NUM
ejpam-6725	99	8	then	then	ADV
ejpam-6725	99	9	stop	stop	VERB
ejpam-6725	99	10	and	and	CCONJ
ejpam-6725	99	11	c1k	c1k	NOUN
ejpam-6725	99	12	,	,	PUNCT
ejpam-6725	99	13	y	y	PROPN
ejpam-6725	99	14	c2k	c2k	PROPN
ejpam-6725	99	15	is	be	AUX
ejpam-6725	99	16	the	the	DET
ejpam-6725	99	17	solution	solution	NOUN
ejpam-6725	99	18	else	else	ADV
ejpam-6725	99	19	let	let	VERB
ejpam-6725	99	20	k	k	PROPN
ejpam-6725	99	21	=	=	PUNCT
ejpam-6725	100	1	k	k	PROPN
ejpam-6725	100	2	+	+	CCONJ
ejpam-6725	100	3	1	1	NUM
ejpam-6725	100	4	go	go	VERB
ejpam-6725	100	5	to	to	PART
ejpam-6725	100	6	step	step	VERB
ejpam-6725	100	7	5	5	NUM
ejpam-6725	100	8	.	.	PUNCT
ejpam-6725	101	1	5compute	5compute	NUM
ejpam-6725	101	2	m.	m.	NOUN
ejpam-6725	101	3	a.	a.	NOUN
ejpam-6725	101	4	ramadan	ramadan	PROPN
ejpam-6725	101	5	et	et	PROPN
ejpam-6725	101	6	al	al	PROPN
ejpam-6725	101	7	.	.	PUNCT
ejpam-6725	101	8	/	/	SYM
ejpam-6725	101	9	eur	eur	PROPN
ejpam-6725	101	10	.	.	PUNCT
ejpam-6725	102	1	j.	j.	PROPN
ejpam-6725	102	2	pure	pure	PROPN
ejpam-6725	102	3	appl	appl	PROPN
ejpam-6725	102	4	.	.	PROPN
ejpam-6725	102	5	math	math	PROPN
ejpam-6725	102	6	,	,	PUNCT
ejpam-6725	102	7	18	18	NUM
ejpam-6725	102	8	(	(	PUNCT
ejpam-6725	102	9	4	4	NUM
ejpam-6725	102	10	)	)	PUNCT
ejpam-6725	102	11	(	(	PUNCT
ejpam-6725	102	12	2025	2025	NUM
ejpam-6725	102	13	)	)	PUNCT
ejpam-6725	102	14	,	,	PUNCT
ejpam-6725	102	15	6725	6725	NUM
ejpam-6725	102	16	4	4	NUM
ejpam-6725	102	17	of	of	ADP
ejpam-6725	102	18	18	18	NUM
ejpam-6725	102	19	c1k+1	c1k+1	NOUN
ejpam-6725	102	20	=	=	PUNCT
ejpam-6725	102	21	c1k	c1k	NOUN
ejpam-6725	102	22	+	+	CCONJ
ejpam-6725	102	23	‖rk‖2	‖rk‖2	PROPN
ejpam-6725	102	24	‖sk‖2	‖sk‖2	VERB
ejpam-6725	102	25	+	+	CCONJ
ejpam-6725	102	26	‖tk‖2	‖tk‖2	ADJ
ejpam-6725	102	27	sk	sk	NOUN
ejpam-6725	102	28	,	,	PUNCT
ejpam-6725	102	29	c2k+1	c2k+1	NOUN
ejpam-6725	102	30	=	=	SYM
ejpam-6725	102	31	c2k	c2k	X
ejpam-6725	102	32	+	+	CCONJ
ejpam-6725	102	33	‖rk‖2	‖rk‖2	PROPN
ejpam-6725	102	34	‖sk‖2	‖sk‖2	VERB
ejpam-6725	102	35	+	+	CCONJ
ejpam-6725	102	36	‖tk‖2	‖tk‖2	PROPN
ejpam-6725	102	37	tk	tk	PROPN
ejpam-6725	102	38	,	,	PUNCT
ejpam-6725	102	39	rk+1	rk+1	ADP
ejpam-6725	102	40	=	=	SYM
ejpam-6725	102	41	diag	diag	NOUN
ejpam-6725	102	42	(	(	PUNCT
ejpam-6725	102	43	f−	f−	PROPN
ejpam-6725	102	44	f	f	PROPN
ejpam-6725	102	45	(	(	PUNCT
ejpam-6725	102	46	c1k+1	c1k+1	NOUN
ejpam-6725	102	47	,	,	PUNCT
ejpam-6725	102	48	c2k+1	c2k+1	NOUN
ejpam-6725	102	49	)	)	PUNCT
ejpam-6725	102	50	,	,	PUNCT
ejpam-6725	102	51	(	(	PUNCT
ejpam-6725	102	52	g−	g−	PROPN
ejpam-6725	102	53	g	g	NOUN
ejpam-6725	102	54	(	(	PUNCT
ejpam-6725	102	55	c1k+1	c1k+1	NOUN
ejpam-6725	102	56	,	,	PUNCT
ejpam-6725	102	57	c2k+1	c2k+1	NOUN
ejpam-6725	102	58	)	)	PUNCT
ejpam-6725	102	59	)	)	PUNCT
ejpam-6725	103	1	=	=	PRON
ejpam-6725	103	2	rk	rk	VERB
ejpam-6725	103	3	−	−	PRON
ejpam-6725	103	4	‖rk‖2	‖rk‖2	PROPN
ejpam-6725	103	5	‖sk‖2	‖sk‖2	VERB
ejpam-6725	103	6	+	+	CCONJ
ejpam-6725	103	7	‖tk‖2	‖tk‖2	ADJ
ejpam-6725	103	8	diag	diag	NOUN
ejpam-6725	103	9	(	(	PUNCT
ejpam-6725	103	10	f	f	PROPN
ejpam-6725	103	11	(	(	PUNCT
ejpam-6725	103	12	sk	sk	PROPN
ejpam-6725	103	13	,	,	PUNCT
ejpam-6725	103	14	tk	tk	PROPN
ejpam-6725	103	15	)	)	PUNCT
ejpam-6725	103	16	,	,	PUNCT
ejpam-6725	103	17	g	g	PROPN
ejpam-6725	103	18	(	(	PUNCT
ejpam-6725	103	19	sk	sk	PROPN
ejpam-6725	103	20	,	,	PUNCT
ejpam-6725	103	21	tk	tk	PROPN
ejpam-6725	103	22	)	)	PUNCT
ejpam-6725	103	23	)	)	PUNCT
ejpam-6725	103	24	,	,	PUNCT
ejpam-6725	103	25	sk+1	sk+1	NUM
ejpam-6725	103	26	=	=	PUNCT
ejpam-6725	103	27	at	at	ADP
ejpam-6725	103	28	1	1	NUM
ejpam-6725	103	29	(	(	PUNCT
ejpam-6725	103	30	f	f	PROPN
ejpam-6725	103	31	−	−	PROPN
ejpam-6725	103	32	f	f	PROPN
ejpam-6725	103	33	(	(	PUNCT
ejpam-6725	103	34	y1k+1	y1k+1	NOUN
ejpam-6725	103	35	,	,	PUNCT
ejpam-6725	103	36	y2k+1	y2k+1	PROPN
ejpam-6725	103	37	)	)	PUNCT
ejpam-6725	103	38	)	)	PUNCT
ejpam-6725	104	1	+	+	ADV
ejpam-6725	104	2	at	at	ADP
ejpam-6725	104	3	2	2	NUM
ejpam-6725	104	4	(	(	PUNCT
ejpam-6725	104	5	g−	g−	PROPN
ejpam-6725	104	6	g	g	NOUN
ejpam-6725	104	7	(	(	PUNCT
ejpam-6725	104	8	c1k+1	c1k+1	NOUN
ejpam-6725	104	9	,	,	PUNCT
ejpam-6725	104	10	c2k+1	c2k+1	NOUN
ejpam-6725	104	11	)	)	PUNCT
ejpam-6725	104	12	)	)	PUNCT
ejpam-6725	105	1	+	+	CCONJ
ejpam-6725	105	2	‖rk+1‖2	‖rk+1‖2	NOUN
ejpam-6725	105	3	‖rk‖2	‖rk‖2	PUNCT
ejpam-6725	105	4	sk	sk	NOUN
ejpam-6725	105	5	,	,	PUNCT
ejpam-6725	105	6	tk+1	tk+1	NUM
ejpam-6725	105	7	=	=	SYM
ejpam-6725	105	8	v	v	X
ejpam-6725	105	9	(	(	PUNCT
ejpam-6725	105	10	f−	f−	PROPN
ejpam-6725	105	11	f	f	PROPN
ejpam-6725	105	12	(	(	PUNCT
ejpam-6725	105	13	y1k+1	y1k+1	ADV
ejpam-6725	105	14	,	,	PUNCT
ejpam-6725	105	15	y2k+1	y2k+1	PROPN
ejpam-6725	105	16	)	)	PUNCT
ejpam-6725	105	17	)	)	PUNCT
ejpam-6725	106	1	+	+	ADV
ejpam-6725	106	2	bt	bt	NOUN
ejpam-6725	106	3	2	2	NUM
ejpam-6725	106	4	(	(	PUNCT
ejpam-6725	106	5	g−	g−	PROPN
ejpam-6725	106	6	g	g	NOUN
ejpam-6725	106	7	(	(	PUNCT
ejpam-6725	106	8	c1k+1	c1k+1	NOUN
ejpam-6725	106	9	,	,	PUNCT
ejpam-6725	106	10	c2k+1	c2k+1	NOUN
ejpam-6725	106	11	)	)	PUNCT
ejpam-6725	106	12	)	)	PUNCT
ejpam-6725	107	1	+	+	CCONJ
ejpam-6725	107	2	‖rk+1‖2	‖rk+1‖2	PROPN
ejpam-6725	107	3	‖rk‖2	‖rk‖2	PROPN
ejpam-6725	107	4	tk	tk	PROPN
ejpam-6725	107	5	.	.	PROPN
ejpam-6725	107	6	3	3	NUM
ejpam-6725	107	7	.	.	PUNCT
ejpam-6725	107	8	legendre	legendre	PROPN
ejpam-6725	107	9	wavelet	wavelet	PROPN
ejpam-6725	107	10	method	method	NOUN
ejpam-6725	107	11	for	for	ADP
ejpam-6725	107	12	linear	linear	ADJ
ejpam-6725	107	13	fredholm	fredholm	ADJ
ejpam-6725	107	14	integral	integral	ADJ
ejpam-6725	107	15	equations	equation	NOUN
ejpam-6725	107	16	system	system	NOUN
ejpam-6725	107	17	of	of	ADP
ejpam-6725	107	18	second	second	ADJ
ejpam-6725	107	19	kind	kind	NOUN
ejpam-6725	107	20	the	the	DET
ejpam-6725	107	21	proposed	propose	VERB
ejpam-6725	107	22	approach	approach	NOUN
ejpam-6725	107	23	begins	begin	VERB
ejpam-6725	107	24	by	by	ADP
ejpam-6725	107	25	using	use	VERB
ejpam-6725	107	26	the	the	DET
ejpam-6725	107	27	legendre	legendre	PROPN
ejpam-6725	107	28	wavelet	wavelet	PROPN
ejpam-6725	107	29	method	method	NOUN
ejpam-6725	107	30	to	to	PART
ejpam-6725	107	31	convert	convert	VERB
ejpam-6725	107	32	the	the	DET
ejpam-6725	107	33	coupled	couple	VERB
ejpam-6725	107	34	linear	linear	NOUN
ejpam-6725	107	35	system	system	NOUN
ejpam-6725	107	36	if	if	SCONJ
ejpam-6725	107	37	fredholm	fredholm	VERB
ejpam-6725	107	38	integral	integral	ADJ
ejpam-6725	107	39	equations	equation	NOUN
ejpam-6725	107	40	into	into	ADP
ejpam-6725	107	41	a	a	DET
ejpam-6725	107	42	system	system	NOUN
ejpam-6725	107	43	of	of	ADP
ejpam-6725	107	44	coupled	couple	VERB
ejpam-6725	107	45	matrix	matrix	NOUN
ejpam-6725	107	46	algebraic	algebraic	ADJ
ejpam-6725	107	47	equations	equation	NOUN
ejpam-6725	107	48	.	.	PUNCT
ejpam-6725	108	1	next	next	ADV
ejpam-6725	108	2	,	,	PUNCT
ejpam-6725	108	3	algorithm	algorithm	PROPN
ejpam-6725	108	4	2.1	2.1	NUM
ejpam-6725	108	5	is	be	AUX
ejpam-6725	108	6	employed	employ	VERB
ejpam-6725	108	7	to	to	PART
ejpam-6725	108	8	solve	solve	VERB
ejpam-6725	108	9	the	the	DET
ejpam-6725	108	10	resulting	result	VERB
ejpam-6725	108	11	system	system	NOUN
ejpam-6725	108	12	of	of	ADP
ejpam-6725	108	13	sylvester	sylvest	ADJ
ejpam-6725	108	14	matrix	matrix	NOUN
ejpam-6725	108	15	equations	equation	NOUN
ejpam-6725	108	16	,	,	PUNCT
ejpam-6725	108	17	yielding	yield	VERB
ejpam-6725	108	18	the	the	DET
ejpam-6725	108	19	solution	solution	NOUN
ejpam-6725	108	20	function	function	NOUN
ejpam-6725	108	21	for	for	ADP
ejpam-6725	108	22	the	the	DET
ejpam-6725	108	23	original	original	ADJ
ejpam-6725	108	24	problem	problem	NOUN
ejpam-6725	108	25	.	.	PUNCT
ejpam-6725	109	1	first	first	ADV
ejpam-6725	109	2	,	,	PUNCT
ejpam-6725	109	3	consider	consider	VERB
ejpam-6725	109	4	the	the	DET
ejpam-6725	109	5	following	follow	VERB
ejpam-6725	109	6	equations	equation	NOUN
ejpam-6725	109	7	:	:	PUNCT
ejpam-6725	109	8	u(x	u(x	PROPN
ejpam-6725	109	9	)	)	PUNCT
ejpam-6725	109	10	=	=	SYM
ejpam-6725	109	11	f(x	f(x	PROPN
ejpam-6725	109	12	)	)	PUNCT
ejpam-6725	110	1	+	+	CCONJ
ejpam-6725	111	1	λ1	λ1	ADJ
ejpam-6725	111	2	(	(	PUNCT
ejpam-6725	111	3	∫	∫	PROPN
ejpam-6725	111	4	1	1	NUM
ejpam-6725	111	5	0	0	NUM
ejpam-6725	111	6	(	(	PUNCT
ejpam-6725	111	7	k1(x	k1(x	ADJ
ejpam-6725	111	8	,	,	PUNCT
ejpam-6725	111	9	t)u(t	t)u(t	NUM
ejpam-6725	111	10	)	)	PUNCT
ejpam-6725	111	11	)	)	PUNCT
ejpam-6725	112	1	dt+	dt+	NOUN
ejpam-6725	112	2	∫	∫	PROPN
ejpam-6725	112	3	1	1	NUM
ejpam-6725	112	4	0	0	NUM
ejpam-6725	112	5	(	(	PUNCT
ejpam-6725	112	6	k2(x	k2(x	PROPN
ejpam-6725	112	7	,	,	PUNCT
ejpam-6725	112	8	t)v(t	t)v(t	NOUN
ejpam-6725	112	9	)	)	PUNCT
ejpam-6725	112	10	)	)	PUNCT
ejpam-6725	112	11	)	)	PUNCT
ejpam-6725	113	1	dt	dt	ADP
ejpam-6725	113	2	v(x	v(x	NOUN
ejpam-6725	113	3	)	)	PUNCT
ejpam-6725	114	1	=	=	SYM
ejpam-6725	114	2	g(x	g(x	NOUN
ejpam-6725	114	3	)	)	PUNCT
ejpam-6725	115	1	+	+	NUM
ejpam-6725	115	2	λ2	λ2	NOUN
ejpam-6725	115	3	(	(	PUNCT
ejpam-6725	115	4	∫	∫	PROPN
ejpam-6725	115	5	1	1	NUM
ejpam-6725	115	6	0	0	NUM
ejpam-6725	115	7	(	(	PUNCT
ejpam-6725	115	8	k3(x	k3(x	PROPN
ejpam-6725	115	9	,	,	PUNCT
ejpam-6725	115	10	t)u(t	t)u(t	NUM
ejpam-6725	115	11	)	)	PUNCT
ejpam-6725	115	12	)	)	PUNCT
ejpam-6725	116	1	dt+	dt+	NOUN
ejpam-6725	116	2	∫	∫	PROPN
ejpam-6725	116	3	1	1	NUM
ejpam-6725	116	4	0	0	NUM
ejpam-6725	116	5	(	(	PUNCT
ejpam-6725	116	6	k4(x	k4(x	PROPN
ejpam-6725	116	7	,	,	PUNCT
ejpam-6725	116	8	t)v(t	t)v(t	NOUN
ejpam-6725	116	9	)	)	PUNCT
ejpam-6725	116	10	)	)	PUNCT
ejpam-6725	116	11	)	)	PUNCT
ejpam-6725	117	1	dt	dt	X
ejpam-6725	117	2	(	(	PUNCT
ejpam-6725	117	3	3.1	3.1	NUM
ejpam-6725	117	4	)	)	PUNCT
ejpam-6725	117	5	where	where	SCONJ
ejpam-6725	117	6	k1(x	k1(x	PROPN
ejpam-6725	117	7	,	,	PUNCT
ejpam-6725	117	8	t	t	PROPN
ejpam-6725	117	9	)	)	PUNCT
ejpam-6725	117	10	,	,	PUNCT
ejpam-6725	117	11	k2(x	k2(x	PROPN
ejpam-6725	117	12	,	,	PUNCT
ejpam-6725	117	13	t	t	PROPN
ejpam-6725	117	14	)	)	PUNCT
ejpam-6725	117	15	∈	∈	PROPN
ejpam-6725	117	16	l2([0	l2([0	PROPN
ejpam-6725	117	17	,	,	PUNCT
ejpam-6725	117	18	1]×	1]×	NUM
ejpam-6725	118	1	[	[	X
ejpam-6725	118	2	0	0	NUM
ejpam-6725	118	3	,	,	PUNCT
ejpam-6725	118	4	1	1	NUM
ejpam-6725	118	5	]	]	PUNCT
ejpam-6725	118	6	)	)	PUNCT
ejpam-6725	118	7	and	and	CCONJ
ejpam-6725	118	8	h(x	h(x	PROPN
ejpam-6725	118	9	)	)	PUNCT
ejpam-6725	118	10	,	,	PUNCT
ejpam-6725	118	11	g(x	g(x	NOUN
ejpam-6725	118	12	)	)	PUNCT
ejpam-6725	118	13	∈	∈	PROPN
ejpam-6725	118	14	l2([0	l2([0	VERB
ejpam-6725	118	15	,	,	PUNCT
ejpam-6725	118	16	1	1	NUM
ejpam-6725	118	17	]	]	PUNCT
ejpam-6725	118	18	)	)	PUNCT
ejpam-6725	118	19	the	the	DET
ejpam-6725	118	20	unknown	unknown	ADJ
ejpam-6725	118	21	functions	function	NOUN
ejpam-6725	118	22	u(x	u(x	VERB
ejpam-6725	118	23	)	)	PUNCT
ejpam-6725	118	24	,	,	PUNCT
ejpam-6725	118	25	v(x	v(x	PROPN
ejpam-6725	118	26	)	)	PUNCT
ejpam-6725	118	27	can	can	AUX
ejpam-6725	118	28	be	be	AUX
ejpam-6725	118	29	expanded	expand	VERB
ejpam-6725	118	30	as	as	ADP
ejpam-6725	118	31	u(x	u(x	NOUN
ejpam-6725	118	32	)	)	PUNCT
ejpam-6725	119	1	≈	≈	PROPN
ejpam-6725	119	2	ct	ct	NOUN
ejpam-6725	119	3	1	1	NUM
ejpam-6725	119	4	ψ(t	ψ(t	PROPN
ejpam-6725	119	5	)	)	PUNCT
ejpam-6725	119	6	,	,	PUNCT
ejpam-6725	119	7	v(x	v(x	PROPN
ejpam-6725	119	8	)	)	PUNCT
ejpam-6725	120	1	≈	≈	PROPN
ejpam-6725	120	2	ct	ct	NUM
ejpam-6725	120	3	2	2	NUM
ejpam-6725	120	4	ψ(t	ψ(t	PROPN
ejpam-6725	120	5	)	)	PUNCT
ejpam-6725	120	6	(	(	PUNCT
ejpam-6725	120	7	3.2	3.2	NUM
ejpam-6725	120	8	)	)	PUNCT
ejpam-6725	120	9	where	where	SCONJ
ejpam-6725	120	10	c1	c1	PROPN
ejpam-6725	120	11	and	and	CCONJ
ejpam-6725	120	12	c2	c2	PROPN
ejpam-6725	120	13	are	be	AUX
ejpam-6725	120	14	the	the	DET
ejpam-6725	120	15	unknown	unknown	ADJ
ejpam-6725	120	16	2k−1	2k−1	NUM
ejpam-6725	120	17	m	m	NOUN
ejpam-6725	120	18	vectors	vector	NOUN
ejpam-6725	120	19	and	and	CCONJ
ejpam-6725	120	20	ψ(t	ψ(t	PROPN
ejpam-6725	120	21	)	)	PUNCT
ejpam-6725	120	22	is	be	AUX
ejpam-6725	120	23	given	give	VERB
ejpam-6725	120	24	by	by	ADP
ejpam-6725	120	25	eq	eq	PROPN
ejpam-6725	120	26	.	.	PUNCT
ejpam-6725	121	1	(	(	PUNCT
ejpam-6725	121	2	2.5	2.5	NUM
ejpam-6725	121	3	)	)	PUNCT
ejpam-6725	121	4	and	and	CCONJ
ejpam-6725	121	5	(	(	PUNCT
ejpam-6725	121	6	2.6	2.6	NUM
ejpam-6725	121	7	)	)	PUNCT
ejpam-6725	121	8	.	.	PUNCT
ejpam-6725	122	1	likewise	likewise	ADV
ejpam-6725	122	2	,	,	PUNCT
ejpam-6725	122	3	k1(x	k1(x	PROPN
ejpam-6725	122	4	,	,	PUNCT
ejpam-6725	122	5	t	t	PROPN
ejpam-6725	122	6	)	)	PUNCT
ejpam-6725	122	7	,	,	PUNCT
ejpam-6725	122	8	k2(x	k2(x	PROPN
ejpam-6725	122	9	,	,	PUNCT
ejpam-6725	122	10	t	t	PROPN
ejpam-6725	122	11	)	)	PUNCT
ejpam-6725	122	12	,	,	PUNCT
ejpam-6725	122	13	k3(x	k3(x	PROPN
ejpam-6725	122	14	,	,	PUNCT
ejpam-6725	122	15	t	t	PROPN
ejpam-6725	122	16	)	)	PUNCT
ejpam-6725	122	17	,	,	PUNCT
ejpam-6725	122	18	k4(x	k4(x	PROPN
ejpam-6725	122	19	,	,	PUNCT
ejpam-6725	122	20	t	t	PROPN
ejpam-6725	122	21	)	)	PUNCT
ejpam-6725	122	22	,	,	PUNCT
ejpam-6725	122	23	f(x	f(x	PROPN
ejpam-6725	122	24	)	)	PUNCT
ejpam-6725	122	25	,	,	PUNCT
ejpam-6725	122	26	g(x	g(x	NOUN
ejpam-6725	122	27	)	)	PUNCT
ejpam-6725	122	28	are	be	AUX
ejpam-6725	122	29	also	also	ADV
ejpam-6725	122	30	expanded	expand	VERB
ejpam-6725	122	31	into	into	ADP
ejpam-6725	122	32	the	the	DET
ejpam-6725	122	33	lwm	lwm	NOUN
ejpam-6725	122	34	as	as	ADP
ejpam-6725	122	35	:	:	PUNCT
ejpam-6725	122	36	k1(x	k1(x	PROPN
ejpam-6725	122	37	,	,	PUNCT
ejpam-6725	122	38	t	t	PROPN
ejpam-6725	122	39	)	)	PUNCT
ejpam-6725	122	40	≈	≈	PROPN
ejpam-6725	122	41	ψt(x)k1ψ(t	ψt(x)k1ψ(t	NOUN
ejpam-6725	122	42	)	)	PUNCT
ejpam-6725	122	43	,	,	PUNCT
ejpam-6725	122	44	k2(x	k2(x	PROPN
ejpam-6725	122	45	,	,	PUNCT
ejpam-6725	122	46	t	t	PROPN
ejpam-6725	122	47	)	)	PUNCT
ejpam-6725	123	1	≈	≈	PROPN
ejpam-6725	123	2	ψt(x)k2ψ(t	ψt(x)k2ψ(t	PROPN
ejpam-6725	123	3	)	)	PUNCT
ejpam-6725	123	4	k3(x	k3(x	PROPN
ejpam-6725	123	5	,	,	PUNCT
ejpam-6725	123	6	t	t	PROPN
ejpam-6725	123	7	)	)	PUNCT
ejpam-6725	123	8	≈	≈	PROPN
ejpam-6725	123	9	ψt(x)k3ψ(t	ψt(x)k3ψ(t	PROPN
ejpam-6725	123	10	)	)	PUNCT
ejpam-6725	123	11	,	,	PUNCT
ejpam-6725	123	12	k4(x	k4(x	PROPN
ejpam-6725	123	13	,	,	PUNCT
ejpam-6725	123	14	t	t	PROPN
ejpam-6725	123	15	)	)	PUNCT
ejpam-6725	123	16	≈	≈	PROPN
ejpam-6725	123	17	ψt(x)k4ψ(t	ψt(x)k4ψ(t	PROPN
ejpam-6725	123	18	)	)	PUNCT
ejpam-6725	123	19	f(x	f(x	PROPN
ejpam-6725	123	20	)	)	PUNCT
ejpam-6725	124	1	≈	≈	PROPN
ejpam-6725	124	2	f	f	PROPN
ejpam-6725	124	3	tψ(x	tψ(x	PROPN
ejpam-6725	124	4	)	)	PUNCT
ejpam-6725	124	5	,	,	PUNCT
ejpam-6725	124	6	g(x	g(x	NOUN
ejpam-6725	124	7	)	)	PUNCT
ejpam-6725	125	1	≈	≈	PROPN
ejpam-6725	125	2	gtψ(x	gtψ(x	NOUN
ejpam-6725	125	3	)	)	PUNCT
ejpam-6725	125	4	(	(	PUNCT
ejpam-6725	125	5	3.3	3.3	NUM
ejpam-6725	125	6	)	)	PUNCT
ejpam-6725	125	7	after	after	ADP
ejpam-6725	125	8	substituting	substitute	VERB
ejpam-6725	125	9	the	the	DET
ejpam-6725	125	10	approximate	approximate	ADJ
ejpam-6725	125	11	equations	equation	NOUN
ejpam-6725	125	12	(	(	PUNCT
ejpam-6725	125	13	3.2	3.2	NUM
ejpam-6725	125	14	)	)	PUNCT
ejpam-6725	125	15	(	(	PUNCT
ejpam-6725	125	16	3.3	3.3	NUM
ejpam-6725	125	17	)	)	PUNCT
ejpam-6725	125	18	into	into	ADP
ejpam-6725	125	19	(	(	PUNCT
ejpam-6725	125	20	3.1	3.1	NUM
ejpam-6725	125	21	)	)	PUNCT
ejpam-6725	125	22	we	we	PRON
ejpam-6725	125	23	get	get	VERB
ejpam-6725	125	24	,	,	PUNCT
ejpam-6725	125	25	ψt	ψt	CCONJ
ejpam-6725	125	26	(	(	PUNCT
ejpam-6725	125	27	x)c1	x)c1	PROPN
ejpam-6725	125	28	=	=	PRON
ejpam-6725	125	29	ψt	ψt	NOUN
ejpam-6725	125	30	(	(	PUNCT
ejpam-6725	125	31	x)f	x)f	X
ejpam-6725	126	1	+	+	CCONJ
ejpam-6725	126	2	λ1ψ	λ1ψ	PROPN
ejpam-6725	126	3	t	t	PROPN
ejpam-6725	126	4	(	(	PUNCT
ejpam-6725	126	5	x)k1	x)k1	PROPN
ejpam-6725	126	6	∫	∫	PROPN
ejpam-6725	126	7	1	1	NUM
ejpam-6725	126	8	0	0	NUM
ejpam-6725	126	9	ψ(t)ψt	ψ(t)ψt	X
ejpam-6725	126	10	(	(	PUNCT
ejpam-6725	126	11	t)c1dt	t)c1dt	NOUN
ejpam-6725	126	12	+	+	NOUN
ejpam-6725	126	13	λ1∅t	λ1∅t	PROPN
ejpam-6725	126	14	(	(	PUNCT
ejpam-6725	126	15	x)k2	x)k2	PROPN
ejpam-6725	126	16	∫	∫	PROPN
ejpam-6725	126	17	1	1	NUM
ejpam-6725	126	18	0	0	NUM
ejpam-6725	126	19	ψ(t)ψt	ψ(t)ψt	X
ejpam-6725	126	20	(	(	PUNCT
ejpam-6725	126	21	t)c2dt	t)c2dt	NUM
ejpam-6725	126	22	ψt	ψt	NOUN
ejpam-6725	126	23	(	(	PUNCT
ejpam-6725	126	24	x)c2	x)c2	PROPN
ejpam-6725	126	25	=	=	PRON
ejpam-6725	126	26	ψt	ψt	NOUN
ejpam-6725	126	27	(	(	PUNCT
ejpam-6725	126	28	x)g+	x)g+	PROPN
ejpam-6725	126	29	λ2ψ	λ2ψ	X
ejpam-6725	126	30	t	t	PROPN
ejpam-6725	126	31	(	(	PUNCT
ejpam-6725	126	32	x)k3	x)k3	PROPN
ejpam-6725	126	33	∫	∫	PROPN
ejpam-6725	126	34	1	1	NUM
ejpam-6725	126	35	0	0	NUM
ejpam-6725	126	36	ψ(t)ψt	ψ(t)ψt	PROPN
ejpam-6725	126	37	(	(	PUNCT
ejpam-6725	126	38	t)c1dt	t)c1dt	PROPN
ejpam-6725	126	39	(	(	PUNCT
ejpam-6725	126	40	3.4	3.4	NUM
ejpam-6725	126	41	)	)	PUNCT
ejpam-6725	127	1	+	+	PROPN
ejpam-6725	127	2	λ2ψ	λ2ψ	PROPN
ejpam-6725	127	3	t	t	X
ejpam-6725	127	4	(	(	PUNCT
ejpam-6725	127	5	x)k4	x)k4	PROPN
ejpam-6725	127	6	∫	∫	PROPN
ejpam-6725	127	7	1	1	NUM
ejpam-6725	127	8	0	0	NUM
ejpam-6725	127	9	ψ(t)ψt	ψ(t)ψt	X
ejpam-6725	127	10	(	(	PUNCT
ejpam-6725	127	11	t)c2dt	t)c2dt	NOUN
ejpam-6725	127	12	m.	m.	NOUN
ejpam-6725	127	13	a.	a.	PROPN
ejpam-6725	127	14	ramadan	ramadan	PROPN
ejpam-6725	127	15	et	et	PROPN
ejpam-6725	127	16	al	al	PROPN
ejpam-6725	127	17	.	.	PUNCT
ejpam-6725	127	18	/	/	SYM
ejpam-6725	127	19	eur	eur	PROPN
ejpam-6725	127	20	.	.	PUNCT
ejpam-6725	128	1	j.	j.	PROPN
ejpam-6725	128	2	pure	pure	PROPN
ejpam-6725	128	3	appl	appl	PROPN
ejpam-6725	128	4	.	.	PROPN
ejpam-6725	128	5	math	math	PROPN
ejpam-6725	128	6	,	,	PUNCT
ejpam-6725	128	7	18	18	NUM
ejpam-6725	128	8	(	(	PUNCT
ejpam-6725	128	9	4	4	NUM
ejpam-6725	128	10	)	)	PUNCT
ejpam-6725	128	11	(	(	PUNCT
ejpam-6725	128	12	2025	2025	NUM
ejpam-6725	128	13	)	)	PUNCT
ejpam-6725	128	14	,	,	PUNCT
ejpam-6725	128	15	6725	6725	NUM
ejpam-6725	128	16	5	5	NUM
ejpam-6725	128	17	of	of	ADP
ejpam-6725	128	18	18	18	NUM
ejpam-6725	128	19	where	where	SCONJ
ejpam-6725	128	20	,	,	PUNCT
ejpam-6725	128	21	∫	∫	PROPN
ejpam-6725	128	22	1	1	NUM
ejpam-6725	128	23	0	0	NUM
ejpam-6725	128	24	ψ(t)ψt(t)dt	ψ(t)ψt(t)dt	NOUN
ejpam-6725	128	25	=	=	SYM
ejpam-6725	129	1	i	i	PROPN
ejpam-6725	129	2	(	(	PUNCT
ejpam-6725	129	3	3.5	3.5	NUM
ejpam-6725	129	4	)	)	PUNCT
ejpam-6725	129	5	making	make	VERB
ejpam-6725	129	6	use	use	NOUN
ejpam-6725	129	7	of	of	ADP
ejpam-6725	129	8	eq	eq	NOUN
ejpam-6725	129	9	.	.	PUNCT
ejpam-6725	129	10	(	(	PUNCT
ejpam-6725	129	11	3.5	3.5	NUM
ejpam-6725	129	12	)	)	PUNCT
ejpam-6725	129	13	,	,	PUNCT
ejpam-6725	129	14	we	we	PRON
ejpam-6725	129	15	get	get	VERB
ejpam-6725	129	16	,	,	PUNCT
ejpam-6725	129	17	ψt(x)c1	ψt(x)c1	PROPN
ejpam-6725	129	18	=	=	SYM
ejpam-6725	129	19	f	f	PROPN
ejpam-6725	129	20	tψ(x	tψ(x	PROPN
ejpam-6725	129	21	)	)	PUNCT
ejpam-6725	129	22	+	+	CCONJ
ejpam-6725	130	1	+	+	PUNCT
ejpam-6725	130	2	λ1	λ1	ADJ
ejpam-6725	130	3	[	[	PUNCT
ejpam-6725	130	4	ψt(x)k1c1	ψt(x)k1c1	NOUN
ejpam-6725	130	5	+	+	CCONJ
ejpam-6725	130	6	ψt(x)k2c2	ψt(x)k2c2	X
ejpam-6725	130	7	]	]	PUNCT
ejpam-6725	130	8	,	,	PUNCT
ejpam-6725	130	9	ψt(x)c2	ψt(x)c2	X
ejpam-6725	130	10	=	=	SYM
ejpam-6725	130	11	gtψ(x	gtψ(x	PROPN
ejpam-6725	130	12	)	)	PUNCT
ejpam-6725	131	1	+	+	PUNCT
ejpam-6725	132	1	+	+	PUNCT
ejpam-6725	132	2	λ2	λ2	NOUN
ejpam-6725	132	3	[	[	PUNCT
ejpam-6725	132	4	ψt(x)k3c1	ψt(x)k3c1	PUNCT
ejpam-6725	132	5	+	+	CCONJ
ejpam-6725	132	6	ψt(x)k4c2	ψt(x)k4c2	X
ejpam-6725	132	7	]	]	PUNCT
ejpam-6725	132	8	.	.	PUNCT
ejpam-6725	133	1	(	(	PUNCT
ejpam-6725	133	2	3.6	3.6	NUM
ejpam-6725	133	3	)	)	PUNCT
ejpam-6725	133	4	therefore	therefore	ADV
ejpam-6725	133	5	,	,	PUNCT
ejpam-6725	133	6	c1	c1	PROPN
ejpam-6725	133	7	≈	≈	PROPN
ejpam-6725	133	8	f	f	PROPN
ejpam-6725	134	1	+	+	CCONJ
ejpam-6725	134	2	λ1	λ1	PROPN
ejpam-6725	134	3	(	(	PUNCT
ejpam-6725	134	4	k1c1	k1c1	X
ejpam-6725	134	5	+	+	PROPN
ejpam-6725	134	6	k2c2	k2c2	NOUN
ejpam-6725	134	7	)	)	PUNCT
ejpam-6725	134	8	and	and	CCONJ
ejpam-6725	134	9	c2	c2	PROPN
ejpam-6725	134	10	≈	≈	PROPN
ejpam-6725	134	11	g+	g+	NOUN
ejpam-6725	135	1	λ2	λ2	NOUN
ejpam-6725	135	2	(	(	PUNCT
ejpam-6725	135	3	k3c1	k3c1	X
ejpam-6725	135	4	+	+	PROPN
ejpam-6725	135	5	k4c2	k4c2	NOUN
ejpam-6725	135	6	)	)	PUNCT
ejpam-6725	135	7	.	.	PUNCT
ejpam-6725	136	1	(	(	PUNCT
ejpam-6725	136	2	3.7	3.7	NUM
ejpam-6725	136	3	)	)	PUNCT
ejpam-6725	136	4	or	or	CCONJ
ejpam-6725	136	5	,	,	PUNCT
ejpam-6725	136	6	(	(	PUNCT
ejpam-6725	136	7	i−	i−	PROPN
ejpam-6725	136	8	λ1k1)c1	λ1k1)c1	NOUN
ejpam-6725	136	9	−	−	PROPN
ejpam-6725	137	1	λ1k2c2	λ1k2c2	X
ejpam-6725	137	2	=	=	SYM
ejpam-6725	137	3	f	f	PROPN
ejpam-6725	137	4	and	and	CCONJ
ejpam-6725	137	5	(	(	PUNCT
ejpam-6725	137	6	i−	i−	PROPN
ejpam-6725	137	7	λ2k3)c2	λ2k3)c2	CCONJ
ejpam-6725	137	8	−	−	PUNCT
ejpam-6725	137	9	λ2k4c1	λ2k4c1	PROPN
ejpam-6725	137	10	=	=	PUNCT
ejpam-6725	137	11	g.	g.	PROPN
ejpam-6725	137	12	(	(	PUNCT
ejpam-6725	137	13	3.8	3.8	NUM
ejpam-6725	137	14	)	)	PUNCT
ejpam-6725	137	15	after	after	ADP
ejpam-6725	137	16	replacing	replace	VERB
ejpam-6725	137	17	≈	≈	PROPN
ejpam-6725	137	18	with	with	ADP
ejpam-6725	137	19	=	=	NOUN
ejpam-6725	137	20	,	,	PUNCT
ejpam-6725	137	21	we	we	PRON
ejpam-6725	137	22	have	have	VERB
ejpam-6725	137	23	a	a	DET
ejpam-6725	137	24	linear	linear	ADJ
ejpam-6725	137	25	system	system	NOUN
ejpam-6725	137	26	that	that	PRON
ejpam-6725	137	27	can	can	AUX
ejpam-6725	137	28	be	be	AUX
ejpam-6725	137	29	solved	solve	VERB
ejpam-6725	137	30	with	with	ADP
ejpam-6725	137	31	using	use	VERB
ejpam-6725	137	32	finite	finite	ADJ
ejpam-6725	137	33	iterative	iterative	NOUN
ejpam-6725	137	34	algorithm	algorithm	NOUN
ejpam-6725	137	35	for	for	ADP
ejpam-6725	137	36	the	the	DET
ejpam-6725	137	37	unknown	unknown	ADJ
ejpam-6725	137	38	vectors	vector	NOUN
ejpam-6725	137	39	c1	c1	PROPN
ejpam-6725	137	40	,	,	PUNCT
ejpam-6725	137	41	c2	c2	PROPN
ejpam-6725	137	42	then	then	ADV
ejpam-6725	137	43	by	by	ADP
ejpam-6725	137	44	the	the	DET
ejpam-6725	137	45	use	use	NOUN
ejpam-6725	137	46	of	of	ADP
ejpam-6725	137	47	u(x	u(x	NOUN
ejpam-6725	137	48	)	)	PUNCT
ejpam-6725	138	1	≈	≈	PROPN
ejpam-6725	138	2	c1	c1	PROPN
ejpam-6725	138	3	tψ(x	tψ(x	NOUN
ejpam-6725	138	4	)	)	PUNCT
ejpam-6725	138	5	,	,	PUNCT
ejpam-6725	138	6	v(x	v(x	PROPN
ejpam-6725	138	7	)	)	PUNCT
ejpam-6725	139	1	≈	≈	PROPN
ejpam-6725	139	2	c2	c2	PROPN
ejpam-6725	139	3	tψ(x	tψ(x	NUM
ejpam-6725	139	4	)	)	PUNCT
ejpam-6725	139	5	the	the	DET
ejpam-6725	139	6	approximated	approximate	VERB
ejpam-6725	139	7	solution	solution	NOUN
ejpam-6725	139	8	is	be	AUX
ejpam-6725	139	9	given	give	VERB
ejpam-6725	139	10	.	.	PUNCT
ejpam-6725	140	1	the	the	DET
ejpam-6725	140	2	coupled	couple	VERB
ejpam-6725	140	3	linear	linear	NOUN
ejpam-6725	140	4	system	system	NOUN
ejpam-6725	140	5	(	(	PUNCT
ejpam-6725	140	6	3.8	3.8	NUM
ejpam-6725	140	7	)	)	PUNCT
ejpam-6725	140	8	can	can	AUX
ejpam-6725	140	9	be	be	AUX
ejpam-6725	140	10	further	far	ADV
ejpam-6725	140	11	written	write	VERB
ejpam-6725	140	12	in	in	ADP
ejpam-6725	140	13	the	the	DET
ejpam-6725	140	14	form	form	NOUN
ejpam-6725	140	15	a1c1	a1c1	PRON
ejpam-6725	141	1	+	+	NOUN
ejpam-6725	141	2	b1c2	b1c2	NOUN
ejpam-6725	141	3	=	=	SYM
ejpam-6725	141	4	f	f	PROPN
ejpam-6725	141	5	and	and	CCONJ
ejpam-6725	141	6	a2c1	a2c1	PROPN
ejpam-6725	142	1	+	+	NOUN
ejpam-6725	142	2	b2c2	b2c2	PROPN
ejpam-6725	142	3	=	=	PUNCT
ejpam-6725	142	4	g	g	NOUN
ejpam-6725	142	5	,	,	PUNCT
ejpam-6725	142	6	where	where	SCONJ
ejpam-6725	142	7	a1	a1	NOUN
ejpam-6725	142	8	=	=	NOUN
ejpam-6725	142	9	i	i	PRON
ejpam-6725	142	10	−	−	VERB
ejpam-6725	143	1	λ1k1	λ1k1	X
ejpam-6725	143	2	,	,	PUNCT
ejpam-6725	143	3	b1	b1	NOUN
ejpam-6725	143	4	=	=	SYM
ejpam-6725	143	5	−λ1k2	−λ1k2	PROPN
ejpam-6725	143	6	,	,	PUNCT
ejpam-6725	143	7	a2	a2	PROPN
ejpam-6725	143	8	=	=	PRON
ejpam-6725	144	1	i	i	PRON
ejpam-6725	144	2	−	−	VERB
ejpam-6725	145	1	λ2k3	λ2k3	NOUN
ejpam-6725	145	2	,	,	PUNCT
ejpam-6725	145	3	b2	b2	NOUN
ejpam-6725	145	4	=	=	PUNCT
ejpam-6725	146	1	−λ2k4	−λ2k4	PROPN
ejpam-6725	146	2	.	.	PUNCT
ejpam-6725	147	1	4	4	X
ejpam-6725	147	2	.	.	X
ejpam-6725	147	3	convergence	convergence	NOUN
ejpam-6725	147	4	analysis	analysis	NOUN
ejpam-6725	147	5	and	and	CCONJ
ejpam-6725	147	6	error	error	NOUN
ejpam-6725	147	7	estimation	estimation	NOUN
ejpam-6725	147	8	this	this	DET
ejpam-6725	147	9	section	section	NOUN
ejpam-6725	147	10	provides	provide	VERB
ejpam-6725	147	11	a	a	DET
ejpam-6725	147	12	brief	brief	ADJ
ejpam-6725	147	13	study	study	NOUN
ejpam-6725	147	14	of	of	ADP
ejpam-6725	147	15	the	the	DET
ejpam-6725	147	16	convergence	convergence	NOUN
ejpam-6725	147	17	behavior	behavior	NOUN
ejpam-6725	147	18	and	and	CCONJ
ejpam-6725	147	19	error	error	NOUN
ejpam-6725	147	20	bounds	bound	NOUN
ejpam-6725	147	21	of	of	ADP
ejpam-6725	147	22	the	the	DET
ejpam-6725	147	23	proposed	propose	VERB
ejpam-6725	147	24	numerical	numerical	ADJ
ejpam-6725	147	25	method	method	NOUN
ejpam-6725	147	26	,	,	PUNCT
ejpam-6725	147	27	ensuring	ensure	VERB
ejpam-6725	147	28	its	its	PRON
ejpam-6725	147	29	accuracy	accuracy	NOUN
ejpam-6725	147	30	and	and	CCONJ
ejpam-6725	147	31	reliability	reliability	NOUN
ejpam-6725	147	32	.	.	PUNCT
ejpam-6725	148	1	4.1	4.1	NUM
ejpam-6725	148	2	.	.	PUNCT
ejpam-6725	148	3	convergence	convergence	NOUN
ejpam-6725	148	4	analysis	analysis	NOUN
ejpam-6725	148	5	in	in	ADP
ejpam-6725	148	6	this	this	DET
ejpam-6725	148	7	section	section	NOUN
ejpam-6725	148	8	,	,	PUNCT
ejpam-6725	148	9	we	we	PRON
ejpam-6725	148	10	will	will	AUX
ejpam-6725	148	11	discuss	discuss	VERB
ejpam-6725	148	12	the	the	DET
ejpam-6725	148	13	convergence	convergence	NOUN
ejpam-6725	148	14	analysis	analysis	NOUN
ejpam-6725	148	15	for	for	ADP
ejpam-6725	148	16	our	our	PRON
ejpam-6725	148	17	proposed	propose	VERB
ejpam-6725	148	18	numerical	numerical	ADJ
ejpam-6725	148	19	approach	approach	NOUN
ejpam-6725	148	20	.	.	PUNCT
ejpam-6725	149	1	theorem	theorem	VERB
ejpam-6725	149	2	3.1	3.1	NUM
ejpam-6725	149	3	using	use	VERB
ejpam-6725	149	4	our	our	PRON
ejpam-6725	149	5	proposed	propose	VERB
ejpam-6725	149	6	numerical	numerical	ADJ
ejpam-6725	149	7	method	method	NOUN
ejpam-6725	149	8	,	,	PUNCT
ejpam-6725	149	9	legendre	legendre	PROPN
ejpam-6725	149	10	wavelets	wavelet	NOUN
ejpam-6725	149	11	coupled	couple	VERB
ejpam-6725	149	12	with	with	ADP
ejpam-6725	149	13	a	a	DET
ejpam-6725	149	14	finite	finite	ADJ
ejpam-6725	149	15	iterative	iterative	NOUN
ejpam-6725	149	16	method	method	NOUN
ejpam-6725	149	17	,	,	PUNCT
ejpam-6725	149	18	the	the	DET
ejpam-6725	149	19	solution	solution	NOUN
ejpam-6725	149	20	of	of	ADP
ejpam-6725	149	21	(	(	PUNCT
ejpam-6725	149	22	3.1	3.1	NUM
ejpam-6725	149	23	)	)	PUNCT
ejpam-6725	149	24	converges	converge	NOUN
ejpam-6725	149	25	to	to	PART
ejpam-6725	149	26	ŭ(t	ŭ(t	VERB
ejpam-6725	149	27	)	)	PUNCT
ejpam-6725	149	28	:	:	PUNCT
ejpam-6725	150	1	=	=	SYM
ejpam-6725	150	2	(	(	PUNCT
ejpam-6725	150	3	ŭ(t	ŭ(t	NOUN
ejpam-6725	150	4	)	)	PUNCT
ejpam-6725	150	5	,	,	PUNCT
ejpam-6725	150	6	v̆(t	v̆(t	NOUN
ejpam-6725	150	7	)	)	PUNCT
ejpam-6725	150	8	)	)	PUNCT
ejpam-6725	150	9	defined	define	VERB
ejpam-6725	150	10	in	in	ADP
ejpam-6725	150	11	(	(	PUNCT
ejpam-6725	150	12	3.2	3.2	NUM
ejpam-6725	150	13	)	)	PUNCT
ejpam-6725	150	14	.	.	PUNCT
ejpam-6725	151	1	proof	proof	NOUN
ejpam-6725	151	2	.	.	PUNCT
ejpam-6725	152	1	let	let	VERB
ejpam-6725	152	2	{	{	PUNCT
ejpam-6725	152	3	ψn	ψn	ADJ
ejpam-6725	152	4	,	,	PUNCT
ejpam-6725	152	5	m(t)}n	m(t)}n	NOUN
ejpam-6725	152	6	,	,	PUNCT
ejpam-6725	152	7	m	m	VERB
ejpam-6725	152	8	be	be	VERB
ejpam-6725	152	9	the	the	DET
ejpam-6725	152	10	legendre	legendre	PROPN
ejpam-6725	152	11	wavelets	wavelet	NOUN
ejpam-6725	152	12	forming	form	VERB
ejpam-6725	152	13	an	an	DET
ejpam-6725	152	14	orthonoral	orthonoral	ADJ
ejpam-6725	152	15	basis	basis	NOUN
ejpam-6725	152	16	of	of	ADP
ejpam-6725	152	17	l2(r	l2(r	PROPN
ejpam-6725	152	18	)	)	PUNCT
ejpam-6725	152	19	and	and	CCONJ
ejpam-6725	152	20	let	let	VERB
ejpam-6725	152	21	l2(r	l2(r	PRON
ejpam-6725	152	22	)	)	PUNCT
ejpam-6725	152	23	be	be	AUX
ejpam-6725	152	24	a	a	DET
ejpam-6725	152	25	hilbert	hilbert	NOUN
ejpam-6725	152	26	space	space	NOUN
ejpam-6725	152	27	.	.	PUNCT
ejpam-6725	153	1	since	since	SCONJ
ejpam-6725	153	2	ŭ(t	ŭ(t	NOUN
ejpam-6725	153	3	)	)	PUNCT
ejpam-6725	153	4	is	be	AUX
ejpam-6725	153	5	a	a	DET
ejpam-6725	153	6	vector	vector	NOUN
ejpam-6725	153	7	-	-	PUNCT
ejpam-6725	153	8	valued	value	VERB
ejpam-6725	153	9	function	function	NOUN
ejpam-6725	153	10	with	with	ADP
ejpam-6725	153	11	two	two	NUM
ejpam-6725	153	12	components	component	NOUN
ejpam-6725	153	13	in	in	ADP
ejpam-6725	153	14	l2(r	l2(r	PROPN
ejpam-6725	153	15	)	)	PUNCT
ejpam-6725	153	16	,	,	PUNCT
ejpam-6725	153	17	we	we	PRON
ejpam-6725	153	18	expand	expand	VERB
ejpam-6725	153	19	it	it	PRON
ejpam-6725	153	20	component	component	NOUN
ejpam-6725	153	21	-wise	-wise	NOUN
ejpam-6725	153	22	ŭ(t	ŭ(t	NOUN
ejpam-6725	153	23	)	)	PUNCT
ejpam-6725	154	1	≈	≈	PROPN
ejpam-6725	154	2	2k−1∑	2k−1∑	NUM
ejpam-6725	154	3	n=1	n=1	PROPN
ejpam-6725	154	4	m−1∑	m−1∑	PROPN
ejpam-6725	154	5	m=0	m=0	PROPN
ejpam-6725	154	6	c(1)n	c(1)n	PROPN
ejpam-6725	154	7	,	,	PUNCT
ejpam-6725	154	8	mψn	mψn	NOUN
ejpam-6725	154	9	,	,	PUNCT
ejpam-6725	154	10	m(t	m(t	NOUN
ejpam-6725	154	11	)	)	PUNCT
ejpam-6725	154	12	,	,	PUNCT
ejpam-6725	154	13	v̌(t	v̌(t	NOUN
ejpam-6725	154	14	)	)	PUNCT
ejpam-6725	155	1	≈	≈	NOUN
ejpam-6725	155	2	2k−1∑	2k−1∑	NOUN
ejpam-6725	155	3	n=1	n=1	PROPN
ejpam-6725	155	4	m−1∑	m−1∑	PROPN
ejpam-6725	155	5	m=0	m=0	PROPN
ejpam-6725	155	6	c(2)n	c(2)n	PROPN
ejpam-6725	155	7	,	,	PUNCT
ejpam-6725	155	8	mψn	mψn	NOUN
ejpam-6725	155	9	,	,	PUNCT
ejpam-6725	155	10	m(t	m(t	NOUN
ejpam-6725	155	11	)	)	PUNCT
ejpam-6725	155	12	,	,	PUNCT
ejpam-6725	155	13	where	where	SCONJ
ejpam-6725	155	14	c(1)n	c(1)n	NOUN
ejpam-6725	155	15	,	,	PUNCT
ejpam-6725	155	16	m	m	VERB
ejpam-6725	155	17	=	=	NOUN
ejpam-6725	155	18	<	<	X
ejpam-6725	155	19	ŭ(t	ŭ(t	NOUN
ejpam-6725	155	20	)	)	PUNCT
ejpam-6725	155	21	,	,	PUNCT
ejpam-6725	155	22	ψn	ψn	INTJ
ejpam-6725	155	23	,	,	PUNCT
ejpam-6725	155	24	m(t	m(t	PROPN
ejpam-6725	155	25	)	)	PUNCT
ejpam-6725	155	26	>	>	X
ejpam-6725	155	27	,	,	PUNCT
ejpam-6725	155	28	c(2)n	c(2)n	NOUN
ejpam-6725	155	29	,	,	PUNCT
ejpam-6725	155	30	m	m	VERB
ejpam-6725	155	31	=	=	NOUN
ejpam-6725	155	32	<	<	X
ejpam-6725	155	33	v̌(t	v̌(t	NOUN
ejpam-6725	155	34	)	)	PUNCT
ejpam-6725	155	35	,	,	PUNCT
ejpam-6725	155	36	ψn	ψn	INTJ
ejpam-6725	155	37	,	,	PUNCT
ejpam-6725	155	38	m(t	m(t	PROPN
ejpam-6725	155	39	)	)	PUNCT
ejpam-6725	155	40	>	>	PUNCT
ejpam-6725	155	41	.	.	PUNCT
ejpam-6725	156	1	then	then	ADV
ejpam-6725	156	2	,	,	PUNCT
ejpam-6725	156	3	the	the	DET
ejpam-6725	156	4	full	full	ADJ
ejpam-6725	156	5	approximation	approximation	NOUN
ejpam-6725	156	6	of	of	ADP
ejpam-6725	156	7	the	the	DET
ejpam-6725	156	8	vector	vector	NOUN
ejpam-6725	156	9	function	function	NOUN
ejpam-6725	156	10	ŭ(t	ŭ(t	NOUN
ejpam-6725	156	11	)	)	PUNCT
ejpam-6725	156	12	is	be	AUX
ejpam-6725	156	13	m.	m.	NOUN
ejpam-6725	156	14	a.	a.	PROPN
ejpam-6725	156	15	ramadan	ramadan	PROPN
ejpam-6725	156	16	et	et	PROPN
ejpam-6725	156	17	al	al	PROPN
ejpam-6725	156	18	.	.	PUNCT
ejpam-6725	156	19	/	/	SYM
ejpam-6725	156	20	eur	eur	PROPN
ejpam-6725	156	21	.	.	PUNCT
ejpam-6725	157	1	j.	j.	PROPN
ejpam-6725	157	2	pure	pure	PROPN
ejpam-6725	157	3	appl	appl	PROPN
ejpam-6725	157	4	.	.	PROPN
ejpam-6725	157	5	math	math	PROPN
ejpam-6725	157	6	,	,	PUNCT
ejpam-6725	157	7	18	18	NUM
ejpam-6725	157	8	(	(	PUNCT
ejpam-6725	157	9	4	4	NUM
ejpam-6725	157	10	)	)	PUNCT
ejpam-6725	157	11	(	(	PUNCT
ejpam-6725	157	12	2025	2025	NUM
ejpam-6725	157	13	)	)	PUNCT
ejpam-6725	157	14	,	,	PUNCT
ejpam-6725	157	15	6725	6725	NUM
ejpam-6725	157	16	6	6	NUM
ejpam-6725	157	17	of	of	ADP
ejpam-6725	157	18	18	18	NUM
ejpam-6725	157	19	ũn	ũn	NOUN
ejpam-6725	157	20	(	(	PUNCT
ejpam-6725	157	21	t	t	PROPN
ejpam-6725	157	22	)	)	PUNCT
ejpam-6725	158	1	≈	≈	PROPN
ejpam-6725	158	2	2k−1∑	2k−1∑	NOUN
ejpam-6725	158	3	n=1	n=1	PROPN
ejpam-6725	158	4	m−1∑	m−1∑	PROPN
ejpam-6725	158	5	m=0	m=0	PROPN
ejpam-6725	158	6	cn	cn	PROPN
ejpam-6725	158	7	,	,	PUNCT
ejpam-6725	158	8	mψn	mψn	PROPN
ejpam-6725	158	9	,	,	PUNCT
ejpam-6725	158	10	m(t	m(t	NOUN
ejpam-6725	158	11	)	)	PUNCT
ejpam-6725	158	12	,	,	PUNCT
ejpam-6725	158	13	where	where	SCONJ
ejpam-6725	158	14	cn	cn	PROPN
ejpam-6725	158	15	,	,	PUNCT
ejpam-6725	158	16	m	m	VERB
ejpam-6725	158	17	:	:	PUNCT
ejpam-6725	158	18	=	=	SYM
ejpam-6725	158	19	(	(	PUNCT
ejpam-6725	158	20	c(1)n	c(1)n	PROPN
ejpam-6725	158	21	,	,	PUNCT
ejpam-6725	158	22	m	m	PROPN
ejpam-6725	158	23	c(2)n	c(2)n	NOUN
ejpam-6725	158	24	,	,	PUNCT
ejpam-6725	158	25	m	m	PROPN
ejpam-6725	158	26	)	)	PUNCT
ejpam-6725	158	27	,	,	PUNCT
ejpam-6725	158	28	and	and	CCONJ
ejpam-6725	158	29	ψn	ψn	INTJ
ejpam-6725	158	30	,	,	PUNCT
ejpam-6725	158	31	m(t	m(t	NOUN
ejpam-6725	158	32	)	)	PUNCT
ejpam-6725	158	33	:	:	PUNCT
ejpam-6725	159	1	=	=	SYM
ejpam-6725	159	2	(	(	PUNCT
ejpam-6725	159	3	ψ	ψ	X
ejpam-6725	159	4	(	(	PUNCT
ejpam-6725	159	5	1	1	NUM
ejpam-6725	159	6	)	)	PUNCT
ejpam-6725	159	7	n	n	CCONJ
ejpam-6725	159	8	,	,	PUNCT
ejpam-6725	159	9	m	m	NOUN
ejpam-6725	159	10	ψ	ψ	X
ejpam-6725	159	11	(	(	PUNCT
ejpam-6725	159	12	2	2	NUM
ejpam-6725	159	13	)	)	PUNCT
ejpam-6725	159	14	n	n	CCONJ
ejpam-6725	159	15	,	,	PUNCT
ejpam-6725	159	16	m	m	PROPN
ejpam-6725	159	17	)	)	PUNCT
ejpam-6725	159	18	.	.	PUNCT
ejpam-6725	160	1	relabeling	relabele	VERB
ejpam-6725	160	2	(	(	PUNCT
ejpam-6725	160	3	n	n	CCONJ
ejpam-6725	160	4	,	,	PUNCT
ejpam-6725	160	5	m	m	NOUN
ejpam-6725	160	6	)	)	PUNCT
ejpam-6725	160	7	into	into	ADP
ejpam-6725	160	8	a	a	DET
ejpam-6725	160	9	single	single	ADJ
ejpam-6725	160	10	index	index	NOUN
ejpam-6725	160	11	j	j	PROPN
ejpam-6725	160	12	,	,	PUNCT
ejpam-6725	160	13	we	we	PRON
ejpam-6725	160	14	write	write	VERB
ejpam-6725	160	15	:	:	PUNCT
ejpam-6725	160	16	ũn	ũn	PROPN
ejpam-6725	160	17	(	(	PUNCT
ejpam-6725	160	18	t	t	NOUN
ejpam-6725	160	19	)	)	PUNCT
ejpam-6725	160	20	=	=	SYM
ejpam-6725	161	1	n∑	n∑	NOUN
ejpam-6725	161	2	j=1	j=1	PROPN
ejpam-6725	161	3	ζjψ	ζjψ	X
ejpam-6725	161	4	(	(	PUNCT
ejpam-6725	161	5	tj	tj	NOUN
ejpam-6725	161	6	)	)	PUNCT
ejpam-6725	161	7	,	,	PUNCT
ejpam-6725	161	8	where	where	SCONJ
ejpam-6725	161	9	ζj	ζj	ADV
ejpam-6725	161	10	=	=	X
ejpam-6725	161	11	(	(	PUNCT
ejpam-6725	161	12	ζ(1)j	ζ(1)j	X
ejpam-6725	161	13	ζ(2)j	ζ(2)j	PROPN
ejpam-6725	161	14	)	)	PUNCT
ejpam-6725	161	15	,	,	PUNCT
ejpam-6725	161	16	here	here	ADV
ejpam-6725	161	17	we	we	PRON
ejpam-6725	161	18	denote	denote	VERB
ejpam-6725	161	19	ζ(1)j	ζ(1)j	X
ejpam-6725	161	20	:	:	PUNCT
ejpam-6725	161	21	=	=	SYM
ejpam-6725	161	22	<	<	X
ejpam-6725	161	23	ŭ(t	ŭ(t	NOUN
ejpam-6725	161	24	)	)	PUNCT
ejpam-6725	161	25	,	,	PUNCT
ejpam-6725	161	26	ψj(t	ψj(t	PUNCT
ejpam-6725	161	27	)	)	PUNCT
ejpam-6725	161	28	>	>	X
ejpam-6725	162	1	and	and	CCONJ
ejpam-6725	162	2	ζ(2)j	ζ(2)j	PRON
ejpam-6725	162	3	:	:	PUNCT
ejpam-6725	162	4	=	=	NOUN
ejpam-6725	162	5	<	<	X
ejpam-6725	162	6	v̌(t	v̌(t	NOUN
ejpam-6725	162	7	)	)	PUNCT
ejpam-6725	162	8	,	,	PUNCT
ejpam-6725	162	9	ψj(t	ψj(t	PUNCT
ejpam-6725	162	10	)	)	PUNCT
ejpam-6725	162	11	>	>	X
ejpam-6725	162	12	.	.	PUNCT
ejpam-6725	163	1	to	to	PART
ejpam-6725	163	2	prove	prove	VERB
ejpam-6725	163	3	convergence	convergence	NOUN
ejpam-6725	163	4	,	,	PUNCT
ejpam-6725	163	5	consider	consider	VERB
ejpam-6725	163	6	the	the	DET
ejpam-6725	163	7	partial	partial	ADJ
ejpam-6725	163	8	sums	sum	NOUN
ejpam-6725	163	9	:	:	PUNCT
ejpam-6725	163	10	sn	sn	PROPN
ejpam-6725	163	11	=	=	PUNCT
ejpam-6725	163	12	n∑	n∑	PROPN
ejpam-6725	163	13	j=1	j=1	PROPN
ejpam-6725	163	14	ζjψj(t	ζjψj(t	PROPN
ejpam-6725	163	15	)	)	PUNCT
ejpam-6725	163	16	.	.	PUNCT
ejpam-6725	164	1	let	let	VERB
ejpam-6725	164	2	n	n	PRON
ejpam-6725	164	3	>	>	X
ejpam-6725	164	4	m	m	VERB
ejpam-6725	164	5	.	.	PUNCT
ejpam-6725	165	1	then	then	ADV
ejpam-6725	165	2	,	,	PUNCT
ejpam-6725	165	3	‖sn	‖sn	PROPN
ejpam-6725	165	4	−	−	PROPN
ejpam-6725	165	5	sm‖2	sm‖2	NOUN
ejpam-6725	165	6	=	=	SYM
ejpam-6725	165	7	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6725	165	8	n∑	n∑	PROPN
ejpam-6725	165	9	j	j	PROPN
ejpam-6725	166	1	=	=	NOUN
ejpam-6725	166	2	m+1	m+1	X
ejpam-6725	166	3	ζjψj(t	ζjψj(t	PROPN
ejpam-6725	166	4	)	)	PUNCT
ejpam-6725	166	5	∥∥∥∥∥∥	∥∥∥∥∥∥	PROPN
ejpam-6725	166	6	2	2	NUM
ejpam-6725	166	7	=	=	SYM
ejpam-6725	166	8	n∑	n∑	NOUN
ejpam-6725	166	9	j=1	j=1	PROPN
ejpam-6725	166	10	‖ζj‖2	‖ζj‖2	PROPN
ejpam-6725	166	11	,	,	PUNCT
ejpam-6725	166	12	due	due	ADP
ejpam-6725	166	13	to	to	ADP
ejpam-6725	166	14	the	the	DET
ejpam-6725	166	15	orthonomality	orthonomality	NOUN
ejpam-6725	166	16	of	of	ADP
ejpam-6725	166	17	ψj(t	ψj(t	NOUN
ejpam-6725	166	18	)	)	PUNCT
ejpam-6725	166	19	.	.	PUNCT
ejpam-6725	167	1	hence	hence	ADV
ejpam-6725	167	2	,	,	PUNCT
ejpam-6725	167	3	‖sn	‖sn	PROPN
ejpam-6725	167	4	−	−	PROPN
ejpam-6725	167	5	sm‖2	sm‖2	NOUN
ejpam-6725	167	6	=	=	SYM
ejpam-6725	167	7	‖	‖	PROPN
ejpam-6725	167	8	n∑	n∑	PROPN
ejpam-6725	167	9	j	j	PROPN
ejpam-6725	167	10	=	=	NOUN
ejpam-6725	167	11	m+1	m+1	X
ejpam-6725	167	12	(	(	PUNCT
ejpam-6725	167	13	∣∣∣ζ(1)j	∣∣∣ζ(1)j	NOUN
ejpam-6725	167	14	∣∣∣2	∣∣∣2	NOUN
ejpam-6725	167	15	+	+	CCONJ
ejpam-6725	167	16	∣∣∣ζ(2)j	∣∣∣ζ(2)j	PROPN
ejpam-6725	167	17	∣∣∣2	∣∣∣2	NOUN
ejpam-6725	167	18	)	)	PUNCT
ejpam-6725	167	19	,	,	PUNCT
ejpam-6725	167	20	which	which	PRON
ejpam-6725	167	21	converges	converge	VERB
ejpam-6725	167	22	as	as	ADP
ejpam-6725	167	23	m	m	PROPN
ejpam-6725	167	24	.	.	PUNCT
ejpam-6725	168	1	n	n	PROPN
ejpam-6725	168	2	→	→	SYM
ejpam-6725	168	3	∞	∞	NUM
ejpam-6725	168	4	by	by	ADP
ejpam-6725	168	5	bessel	bessel	NOUN
ejpam-6725	168	6	’s	’s	PART
ejpam-6725	168	7	inequality	inequality	NOUN
ejpam-6725	168	8	.	.	PUNCT
ejpam-6725	169	1	therefore	therefore	ADV
ejpam-6725	169	2	,	,	PUNCT
ejpam-6725	169	3	{	{	PUNCT
ejpam-6725	169	4	sn	sn	INTJ
ejpam-6725	169	5	}	}	PUNCT
ejpam-6725	169	6	is	be	AUX
ejpam-6725	169	7	a	a	DET
ejpam-6725	169	8	cauchy	cauchy	ADJ
ejpam-6725	169	9	sequence	sequence	NOUN
ejpam-6725	169	10	in	in	ADP
ejpam-6725	169	11	l2(r)×	l2(r)×	PROPN
ejpam-6725	169	12	l2(r	l2(r	NOUN
ejpam-6725	169	13	)	)	PUNCT
ejpam-6725	169	14	,	,	PUNCT
ejpam-6725	169	15	and	and	CCONJ
ejpam-6725	169	16	thus	thus	ADV
ejpam-6725	169	17	converges	converge	VERB
ejpam-6725	169	18	to	to	ADP
ejpam-6725	169	19	some	some	DET
ejpam-6725	169	20	limit	limit	NOUN
ejpam-6725	169	21	′s(t)′.	′s(t)′.	PROPN
ejpam-6725	169	22	to	to	PART
ejpam-6725	169	23	show	show	VERB
ejpam-6725	169	24	that	that	SCONJ
ejpam-6725	169	25	s(t	s(t	PROPN
ejpam-6725	169	26	)	)	PUNCT
ejpam-6725	169	27	=	=	SYM
ejpam-6725	169	28	ŭ(t	ŭ(t	NOUN
ejpam-6725	169	29	)	)	PUNCT
ejpam-6725	169	30	,	,	PUNCT
ejpam-6725	169	31	consider	consider	VERB
ejpam-6725	169	32	<	<	X
ejpam-6725	169	33	s−	s−	PROPN
ejpam-6725	169	34	ŭ	ŭ	PROPN
ejpam-6725	169	35	,	,	PUNCT
ejpam-6725	169	36	ψj	ψj	ADV
ejpam-6725	169	37	>	>	PRON
ejpam-6725	169	38	=	=	PUNCT
ejpam-6725	169	39	lim	lim	PROPN
ejpam-6725	169	40	n→∞	n→∞	X
ejpam-6725	170	1	<	<	X
ejpam-6725	170	2	sn	sn	PROPN
ejpam-6725	170	3	−	−	PROPN
ejpam-6725	170	4	ŭ	ŭ	NOUN
ejpam-6725	170	5	,	,	PUNCT
ejpam-6725	170	6	ψj	ψj	ADV
ejpam-6725	170	7	>	>	PUNCT
ejpam-6725	170	8	=	=	PROPN
ejpam-6725	170	9	lim	lim	PROPN
ejpam-6725	170	10	n→∞	n→∞	X
ejpam-6725	170	11	(	(	PUNCT
ejpam-6725	170	12	<	<	X
ejpam-6725	170	13	sn	sn	PROPN
ejpam-6725	170	14	−	−	PROPN
ejpam-6725	170	15	ψj	ψj	ADV
ejpam-6725	170	16	>	>	X
ejpam-6725	170	17	−	−	X
ejpam-6725	170	18	<	<	X
ejpam-6725	170	19	ŭ	ŭ	PROPN
ejpam-6725	170	20	,	,	PUNCT
ejpam-6725	170	21	ψj	ψj	ADV
ejpam-6725	170	22	>	>	PUNCT
ejpam-6725	170	23	)	)	PUNCT
ejpam-6725	171	1	=	=	SYM
ejpam-6725	171	2	ζj	ζj	ADP
ejpam-6725	171	3	−	−	PROPN
ejpam-6725	171	4	ζj	ζj	NOUN
ejpam-6725	171	5	=	=	NOUN
ejpam-6725	171	6	0	0	PUNCT
ejpam-6725	172	1	thus	thus	ADV
ejpam-6725	172	2	,	,	PUNCT
ejpam-6725	172	3	the	the	DET
ejpam-6725	172	4	difference	difference	NOUN
ejpam-6725	172	5	s(t)−	s(t)−	PROPN
ejpam-6725	172	6	ŭ(t	ŭ(t	NOUN
ejpam-6725	172	7	)	)	PUNCT
ejpam-6725	172	8	is	be	AUX
ejpam-6725	172	9	orthogonal	orthogonal	ADJ
ejpam-6725	172	10	to	to	ADP
ejpam-6725	172	11	all	all	DET
ejpam-6725	172	12	basis	basis	NOUN
ejpam-6725	172	13	functions	function	NOUN
ejpam-6725	172	14	ψj(t	ψj(t	PUNCT
ejpam-6725	172	15	)	)	PUNCT
ejpam-6725	172	16	,	,	PUNCT
ejpam-6725	172	17	and	and	CCONJ
ejpam-6725	172	18	therefore	therefore	ADV
ejpam-6725	172	19	:	:	PUNCT
ejpam-6725	172	20	s(t	s(t	NUM
ejpam-6725	172	21	)	)	PUNCT
ejpam-6725	172	22	=	=	SYM
ejpam-6725	172	23	ŭ(t	ŭ(t	NOUN
ejpam-6725	172	24	)	)	PUNCT
ejpam-6725	172	25	.	.	PUNCT
ejpam-6725	173	1	hence	hence	ADV
ejpam-6725	173	2	,	,	PUNCT
ejpam-6725	173	3	the	the	DET
ejpam-6725	173	4	approximation	approximation	NOUN
ejpam-6725	173	5	series	series	NOUN
ejpam-6725	173	6	∑∞	∑∞	X
ejpam-6725	173	7	j=1	j=1	PROPN
ejpam-6725	173	8	ζjψj(t	ζjψj(t	PROPN
ejpam-6725	173	9	)	)	PUNCT
ejpam-6725	173	10	converges	converge	VERB
ejpam-6725	173	11	to	to	PART
ejpam-6725	173	12	ŭ(t	ŭ(t	VERB
ejpam-6725	173	13	)	)	PUNCT
ejpam-6725	173	14	.	.	PUNCT
ejpam-6725	174	1	consequently	consequently	ADV
ejpam-6725	174	2	,	,	PUNCT
ejpam-6725	174	3	we	we	PRON
ejpam-6725	174	4	have	have	AUX
ejpam-6725	174	5	ŭ(t	ŭ(t	NOUN
ejpam-6725	174	6	)	)	PUNCT
ejpam-6725	175	1	=	=	SYM
ejpam-6725	175	2	s	s	NOUN
ejpam-6725	175	3	and	and	CCONJ
ejpam-6725	175	4	∑n	∑n	PROPN
ejpam-6725	175	5	j=1	j=1	PROPN
ejpam-6725	175	6	ζjψ	ζjψ	X
ejpam-6725	175	7	(	(	PUNCT
ejpam-6725	175	8	tj	tj	NOUN
ejpam-6725	175	9	)	)	PUNCT
ejpam-6725	175	10	converges	converge	NOUN
ejpam-6725	175	11	to	to	PART
ejpam-6725	175	12	ŭ(t	ŭ(t	VERB
ejpam-6725	175	13	)	)	PUNCT
ejpam-6725	175	14	in	in	ADP
ejpam-6725	175	15	l2(r)×l2(r	l2(r)×l2(r	NUM
ejpam-6725	175	16	)	)	PUNCT
ejpam-6725	175	17	,	,	PUNCT
ejpam-6725	175	18	completing	complete	VERB
ejpam-6725	175	19	the	the	DET
ejpam-6725	175	20	proof	proof	NOUN
ejpam-6725	175	21	.	.	PUNCT
ejpam-6725	176	1	m.	m.	NOUN
ejpam-6725	176	2	a.	a.	PROPN
ejpam-6725	176	3	ramadan	ramadan	PROPN
ejpam-6725	176	4	et	et	PROPN
ejpam-6725	176	5	al	al	PROPN
ejpam-6725	176	6	.	.	PUNCT
ejpam-6725	176	7	/	/	SYM
ejpam-6725	176	8	eur	eur	PROPN
ejpam-6725	176	9	.	.	PUNCT
ejpam-6725	177	1	j.	j.	PROPN
ejpam-6725	177	2	pure	pure	PROPN
ejpam-6725	177	3	appl	appl	PROPN
ejpam-6725	177	4	.	.	PROPN
ejpam-6725	177	5	math	math	PROPN
ejpam-6725	177	6	,	,	PUNCT
ejpam-6725	177	7	18	18	NUM
ejpam-6725	177	8	(	(	PUNCT
ejpam-6725	177	9	4	4	NUM
ejpam-6725	177	10	)	)	PUNCT
ejpam-6725	177	11	(	(	PUNCT
ejpam-6725	177	12	2025	2025	NUM
ejpam-6725	177	13	)	)	PUNCT
ejpam-6725	177	14	,	,	PUNCT
ejpam-6725	177	15	6725	6725	NUM
ejpam-6725	177	16	7	7	NUM
ejpam-6725	177	17	of	of	ADP
ejpam-6725	177	18	18	18	NUM
ejpam-6725	177	19	4.2	4.2	NUM
ejpam-6725	177	20	.	.	PUNCT
ejpam-6725	178	1	error	error	NOUN
ejpam-6725	178	2	estimation	estimation	NOUN
ejpam-6725	178	3	suppose	suppose	VERB
ejpam-6725	178	4	that	that	SCONJ
ejpam-6725	178	5	ŭ(t	ŭ(t	VERB
ejpam-6725	178	6	)	)	PUNCT
ejpam-6725	178	7	:	:	PUNCT
ejpam-6725	178	8	=	=	SYM
ejpam-6725	178	9	(	(	PUNCT
ejpam-6725	178	10	ŭ(t	ŭ(t	NOUN
ejpam-6725	178	11	)	)	PUNCT
ejpam-6725	178	12	,	,	PUNCT
ejpam-6725	178	13	v̆(t	v̆(t	NOUN
ejpam-6725	178	14	)	)	PUNCT
ejpam-6725	178	15	)	)	PUNCT
ejpam-6725	178	16	is	be	AUX
ejpam-6725	178	17	the	the	DET
ejpam-6725	178	18	approximate	approximate	ADJ
ejpam-6725	178	19	solution	solution	NOUN
ejpam-6725	178	20	and	and	CCONJ
ejpam-6725	178	21	u(t	u(t	NOUN
ejpam-6725	178	22	)	)	PUNCT
ejpam-6725	178	23	:	:	PUNCT
ejpam-6725	179	1	=	=	SYM
ejpam-6725	179	2	(	(	PUNCT
ejpam-6725	179	3	u(t	u(t	PROPN
ejpam-6725	179	4	)	)	PUNCT
ejpam-6725	179	5	,	,	PUNCT
ejpam-6725	179	6	v(t	v(t	NOUN
ejpam-6725	179	7	)	)	PUNCT
ejpam-6725	179	8	)	)	PUNCT
ejpam-6725	179	9	is	be	AUX
ejpam-6725	179	10	the	the	DET
ejpam-6725	179	11	exact	exact	ADJ
ejpam-6725	179	12	solution	solution	NOUN
ejpam-6725	179	13	,	,	PUNCT
ejpam-6725	179	14	then	then	ADV
ejpam-6725	179	15	the	the	DET
ejpam-6725	179	16	error	error	NOUN
ejpam-6725	179	17	function	function	NOUN
ejpam-6725	179	18	en(t	en(t	PRON
ejpam-6725	179	19	)	)	PUNCT
ejpam-6725	179	20	is	be	AUX
ejpam-6725	179	21	given	give	VERB
ejpam-6725	179	22	by	by	ADP
ejpam-6725	179	23	the	the	DET
ejpam-6725	179	24	following	follow	VERB
ejpam-6725	179	25	relation	relation	NOUN
ejpam-6725	179	26	:	:	PUNCT
ejpam-6725	179	27	en(t	en(t	X
ejpam-6725	179	28	)	)	PUNCT
ejpam-6725	179	29	=	=	SYM
ejpam-6725	179	30	u(t)−	u(t)−	PROPN
ejpam-6725	179	31	ŭ(t	ŭ(t	NOUN
ejpam-6725	179	32	)	)	PUNCT
ejpam-6725	179	33	,	,	PUNCT
ejpam-6725	179	34	hence	hence	ADV
ejpam-6725	179	35	ŭ(t	ŭ(t	VERB
ejpam-6725	179	36	)	)	PUNCT
ejpam-6725	180	1	=	=	SYM
ejpam-6725	180	2	2k−1∑	2k−1∑	NOUN
ejpam-6725	180	3	n=1	n=1	PROPN
ejpam-6725	180	4	m−1∑	m−1∑	PROPN
ejpam-6725	180	5	m=0	m=0	PROPN
ejpam-6725	180	6	cn	cn	PROPN
ejpam-6725	180	7	,	,	PUNCT
ejpam-6725	180	8	mψn	mψn	PROPN
ejpam-6725	180	9	,	,	PUNCT
ejpam-6725	180	10	m(t	m(t	NOUN
ejpam-6725	180	11	)	)	PUNCT
ejpam-6725	180	12	+	+	NOUN
ejpam-6725	180	13	hn(t	hn(t	NUM
ejpam-6725	180	14	)	)	PUNCT
ejpam-6725	180	15	=	=	SYM
ejpam-6725	180	16	ctψ(t	ctψ(t	PROPN
ejpam-6725	180	17	)	)	PUNCT
ejpam-6725	180	18	+	+	NOUN
ejpam-6725	180	19	hn(t	hn(t	NUM
ejpam-6725	180	20	)	)	PUNCT
ejpam-6725	180	21	,	,	PUNCT
ejpam-6725	180	22	where	where	SCONJ
ejpam-6725	180	23	,	,	PUNCT
ejpam-6725	180	24	hn(t	hn(t	NUM
ejpam-6725	180	25	)	)	PUNCT
ejpam-6725	180	26	is	be	AUX
ejpam-6725	180	27	the	the	DET
ejpam-6725	180	28	perturbation	perturbation	NOUN
ejpam-6725	180	29	term	term	NOUN
ejpam-6725	180	30	.	.	PUNCT
ejpam-6725	181	1	hn(t	hn(t	PUNCT
ejpam-6725	181	2	)	)	PUNCT
ejpam-6725	182	1	=	=	SYM
ejpam-6725	182	2	ŭ(t)−	ŭ(t)−	PROPN
ejpam-6725	182	3	ctψ(t	ctψ(t	PROPN
ejpam-6725	182	4	)	)	PUNCT
ejpam-6725	182	5	(	(	PUNCT
ejpam-6725	182	6	3.11	3.11	NUM
ejpam-6725	182	7	)	)	PUNCT
ejpam-6725	183	1	so	so	ADV
ejpam-6725	183	2	,	,	PUNCT
ejpam-6725	183	3	its	its	PRON
ejpam-6725	183	4	easily	easily	ADV
ejpam-6725	183	5	to	to	PART
ejpam-6725	183	6	see	see	VERB
ejpam-6725	183	7	that	that	PRON
ejpam-6725	183	8	en(t	en(t	PRON
ejpam-6725	183	9	)	)	PUNCT
ejpam-6725	184	1	+	+	CCONJ
ejpam-6725	184	2	ctψ(t	ctψ(t	PROPN
ejpam-6725	184	3	)	)	PUNCT
ejpam-6725	184	4	=	=	PUNCT
ejpam-6725	185	1	−hn(t	−hn(t	PROPN
ejpam-6725	185	2	)	)	PUNCT
ejpam-6725	185	3	,	,	PUNCT
ejpam-6725	185	4	hence	hence	ADV
ejpam-6725	185	5	the	the	DET
ejpam-6725	185	6	stability	stability	NOUN
ejpam-6725	185	7	of	of	ADP
ejpam-6725	185	8	our	our	PRON
ejpam-6725	185	9	proposed	propose	VERB
ejpam-6725	185	10	method	method	NOUN
ejpam-6725	185	11	is	be	AUX
ejpam-6725	185	12	established	establish	VERB
ejpam-6725	185	13	through	through	ADP
ejpam-6725	185	14	this	this	DET
ejpam-6725	185	15	convergence	convergence	NOUN
ejpam-6725	185	16	theorem	theorem	NOUN
ejpam-6725	185	17	and	and	CCONJ
ejpam-6725	185	18	error	error	NOUN
ejpam-6725	185	19	estimation	estimation	NOUN
ejpam-6725	185	20	.	.	PUNCT
ejpam-6725	186	1	5	5	NUM
ejpam-6725	186	2	.	.	X
ejpam-6725	186	3	numerical	numerical	ADJ
ejpam-6725	186	4	examples	example	NOUN
ejpam-6725	186	5	in	in	ADP
ejpam-6725	186	6	this	this	DET
ejpam-6725	186	7	section	section	NOUN
ejpam-6725	186	8	,	,	PUNCT
ejpam-6725	186	9	some	some	DET
ejpam-6725	186	10	numerical	numerical	ADJ
ejpam-6725	186	11	examples	example	NOUN
ejpam-6725	186	12	are	be	AUX
ejpam-6725	186	13	provided	provide	VERB
ejpam-6725	186	14	to	to	PART
ejpam-6725	186	15	illustrate	illustrate	VERB
ejpam-6725	186	16	the	the	DET
ejpam-6725	186	17	efficiency	efficiency	NOUN
ejpam-6725	186	18	and	and	CCONJ
ejpam-6725	186	19	accuracy	accuracy	NOUN
ejpam-6725	186	20	of	of	ADP
ejpam-6725	186	21	our	our	PRON
ejpam-6725	186	22	method	method	NOUN
ejpam-6725	186	23	,	,	PUNCT
ejpam-6725	186	24	which	which	PRON
ejpam-6725	186	25	integrates	integrate	VERB
ejpam-6725	186	26	legendre	legendre	PROPN
ejpam-6725	186	27	wavelets	wavelet	NOUN
ejpam-6725	186	28	with	with	ADP
ejpam-6725	186	29	a	a	DET
ejpam-6725	186	30	proposed	propose	VERB
ejpam-6725	186	31	finite	finite	ADJ
ejpam-6725	186	32	iterative	iterative	NOUN
ejpam-6725	186	33	algorithm	algorithm	NOUN
ejpam-6725	186	34	.	.	PUNCT
ejpam-6725	187	1	these	these	DET
ejpam-6725	187	2	examples	example	NOUN
ejpam-6725	187	3	are	be	AUX
ejpam-6725	187	4	drawn	draw	VERB
ejpam-6725	187	5	from	from	ADP
ejpam-6725	187	6	recent	recent	ADJ
ejpam-6725	187	7	existing	exist	VERB
ejpam-6725	187	8	literature	literature	NOUN
ejpam-6725	187	9	,	,	PUNCT
ejpam-6725	187	10	allowing	allow	VERB
ejpam-6725	187	11	us	we	PRON
ejpam-6725	187	12	to	to	PART
ejpam-6725	187	13	compare	compare	VERB
ejpam-6725	187	14	the	the	DET
ejpam-6725	187	15	numerical	numerical	ADJ
ejpam-6725	187	16	results	result	NOUN
ejpam-6725	187	17	of	of	ADP
ejpam-6725	187	18	our	our	PRON
ejpam-6725	187	19	approach	approach	NOUN
ejpam-6725	187	20	with	with	ADP
ejpam-6725	187	21	both	both	CCONJ
ejpam-6725	187	22	exact	exact	ADJ
ejpam-6725	187	23	solutions	solution	NOUN
ejpam-6725	187	24	and	and	CCONJ
ejpam-6725	187	25	those	those	PRON
ejpam-6725	187	26	reported	report	VERB
ejpam-6725	187	27	in	in	ADP
ejpam-6725	187	28	previous	previous	ADJ
ejpam-6725	187	29	studies	study	NOUN
ejpam-6725	187	30	.	.	PUNCT
ejpam-6725	188	1	all	all	DET
ejpam-6725	188	2	computations	computation	NOUN
ejpam-6725	188	3	were	be	AUX
ejpam-6725	188	4	performed	perform	VERB
ejpam-6725	188	5	using	use	VERB
ejpam-6725	188	6	a	a	DET
ejpam-6725	188	7	program	program	NOUN
ejpam-6725	188	8	developed	develop	VERB
ejpam-6725	188	9	in	in	ADP
ejpam-6725	188	10	matlab	matlab	PROPN
ejpam-6725	188	11	r2015a	r2015a	PROPN
ejpam-6725	188	12	.	.	PROPN
ejpam-6725	188	13	example	example	NOUN
ejpam-6725	188	14	1	1	NUM
ejpam-6725	188	15	consider	consider	VERB
ejpam-6725	188	16	the	the	DET
ejpam-6725	188	17	system	system	NOUN
ejpam-6725	188	18	of	of	ADP
ejpam-6725	188	19	two	two	NUM
ejpam-6725	188	20	linear	linear	ADJ
ejpam-6725	188	21	fredholm	fredholm	NOUN
ejpam-6725	188	22	integral	integral	ADJ
ejpam-6725	188	23	equations	equation	NOUN
ejpam-6725	188	24	(	(	PUNCT
ejpam-6725	188	25	[	[	X
ejpam-6725	188	26	12],[29],[33],[34	12],[29],[33],[34	NOUN
ejpam-6725	188	27	]	]	PUNCT
ejpam-6725	188	28	):	):	PUNCT
ejpam-6725	188	29	u1(t	u1(t	X
ejpam-6725	188	30	)	)	PUNCT
ejpam-6725	188	31	=	=	SYM
ejpam-6725	188	32	t	t	PROPN
ejpam-6725	188	33	18	18	NUM
ejpam-6725	188	34	−	−	NUM
ejpam-6725	188	35	17	17	NUM
ejpam-6725	188	36	36	36	NUM
ejpam-6725	188	37	+	+	CCONJ
ejpam-6725	188	38	∫	∫	PROPN
ejpam-6725	188	39	1	1	NUM
ejpam-6725	188	40	x=0	x=0	NUM
ejpam-6725	188	41	x+	x+	PROPN
ejpam-6725	188	42	t	t	PROPN
ejpam-6725	188	43	3	3	NUM
ejpam-6725	188	44	(	(	PUNCT
ejpam-6725	188	45	u1(x	u1(x	PROPN
ejpam-6725	188	46	)	)	PUNCT
ejpam-6725	188	47	+	+	PUNCT
ejpam-6725	188	48	u2(x	u2(x	X
ejpam-6725	188	49	)	)	PUNCT
ejpam-6725	188	50	)	)	PUNCT
ejpam-6725	189	1	dx	dx	PROPN
ejpam-6725	189	2	,	,	PUNCT
ejpam-6725	189	3	u2(t	u2(t	NOUN
ejpam-6725	189	4	)	)	PUNCT
ejpam-6725	189	5	=	=	SYM
ejpam-6725	189	6	t2	t2	NOUN
ejpam-6725	189	7	−	−	PROPN
ejpam-6725	189	8	19	19	NUM
ejpam-6725	189	9	12	12	NUM
ejpam-6725	189	10	t+	t+	NUM
ejpam-6725	189	11	1	1	NUM
ejpam-6725	190	1	+	+	NUM
ejpam-6725	190	2	∫	∫	PROPN
ejpam-6725	190	3	1	1	X
ejpam-6725	190	4	t=0	t=0	PROPN
ejpam-6725	190	5	xt	xt	X
ejpam-6725	190	6	(	(	PUNCT
ejpam-6725	190	7	u1(x	u1(x	PROPN
ejpam-6725	190	8	)	)	PUNCT
ejpam-6725	190	9	+	+	PUNCT
ejpam-6725	190	10	u2(x	u2(x	X
ejpam-6725	190	11	)	)	PUNCT
ejpam-6725	190	12	)	)	PUNCT
ejpam-6725	190	13	dx	dx	PROPN
ejpam-6725	190	14	,	,	PUNCT
ejpam-6725	190	15	(	(	PUNCT
ejpam-6725	190	16	4.1	4.1	NUM
ejpam-6725	190	17	)	)	PUNCT
ejpam-6725	190	18	with	with	ADP
ejpam-6725	190	19	exact	exact	ADJ
ejpam-6725	190	20	solution	solution	NOUN
ejpam-6725	190	21	(	(	PUNCT
ejpam-6725	190	22	u1(t	u1(t	PROPN
ejpam-6725	190	23	)	)	PUNCT
ejpam-6725	190	24	,	,	PUNCT
ejpam-6725	190	25	u2(t	u2(t	NOUN
ejpam-6725	190	26	)	)	PUNCT
ejpam-6725	190	27	)	)	PUNCT
ejpam-6725	191	1	=	=	PRON
ejpam-6725	191	2	(	(	PUNCT
ejpam-6725	191	3	t+	t+	NOUN
ejpam-6725	191	4	1	1	NUM
ejpam-6725	191	5	,	,	PUNCT
ejpam-6725	191	6	t2	t2	NOUN
ejpam-6725	191	7	+	+	CCONJ
ejpam-6725	191	8	1	1	NUM
ejpam-6725	191	9	)	)	PUNCT
ejpam-6725	191	10	.	.	PUNCT
ejpam-6725	192	1	this	this	DET
ejpam-6725	192	2	example	example	NOUN
ejpam-6725	192	3	has	have	AUX
ejpam-6725	192	4	been	be	AUX
ejpam-6725	192	5	addressed	address	VERB
ejpam-6725	192	6	by	by	ADP
ejpam-6725	192	7	several	several	ADJ
ejpam-6725	192	8	researchers	researcher	NOUN
ejpam-6725	192	9	.	.	PUNCT
ejpam-6725	193	1	initially	initially	ADV
ejpam-6725	193	2	,	,	PUNCT
ejpam-6725	193	3	babolian	babolian	PROPN
ejpam-6725	193	4	et	et	PROPN
ejpam-6725	193	5	al	al	PROPN
ejpam-6725	193	6	.	.	PUNCT
ejpam-6725	194	1	[	[	X
ejpam-6725	194	2	12	12	NUM
ejpam-6725	194	3	]	]	PUNCT
ejpam-6725	194	4	solved	solve	VERB
ejpam-6725	194	5	it	it	PRON
ejpam-6725	194	6	using	use	VERB
ejpam-6725	194	7	the	the	DET
ejpam-6725	194	8	adomian	adomian	NOUN
ejpam-6725	194	9	decomposition	decomposition	NOUN
ejpam-6725	194	10	method	method	NOUN
ejpam-6725	194	11	.	.	PUNCT
ejpam-6725	195	1	subsequently	subsequently	ADV
ejpam-6725	195	2	,	,	PUNCT
ejpam-6725	195	3	ramadan	ramadan	PROPN
ejpam-6725	195	4	et	et	PROPN
ejpam-6725	195	5	al	al	PROPN
ejpam-6725	195	6	.	.	PUNCT
ejpam-6725	196	1	[	[	X
ejpam-6725	196	2	33	33	NUM
ejpam-6725	196	3	]	]	PUNCT
ejpam-6725	196	4	tackled	tackle	VERB
ejpam-6725	196	5	it	it	PRON
ejpam-6725	196	6	using	use	VERB
ejpam-6725	196	7	the	the	DET
ejpam-6725	196	8	triangular	triangular	NOUN
ejpam-6725	196	9	basis	basis	NOUN
ejpam-6725	196	10	functions	function	NOUN
ejpam-6725	196	11	method	method	VERB
ejpam-6725	196	12	with	with	ADP
ejpam-6725	196	13	m	m	PROPN
ejpam-6725	196	14	=	=	SYM
ejpam-6725	196	15	32	32	NUM
ejpam-6725	196	16	triangular	triangular	NOUN
ejpam-6725	196	17	basis	basis	NOUN
ejpam-6725	196	18	functions	function	NOUN
ejpam-6725	196	19	.	.	PUNCT
ejpam-6725	197	1	najafi	najafi	VERB
ejpam-6725	197	2	et	et	PROPN
ejpam-6725	197	3	al	al	PROPN
ejpam-6725	197	4	.	.	PUNCT
ejpam-6725	198	1	[	[	X
ejpam-6725	198	2	29	29	NUM
ejpam-6725	198	3	]	]	PUNCT
ejpam-6725	198	4	also	also	ADV
ejpam-6725	198	5	analyzed	analyze	VERB
ejpam-6725	198	6	the	the	DET
ejpam-6725	198	7	problem	problem	NOUN
ejpam-6725	198	8	using	use	VERB
ejpam-6725	198	9	the	the	DET
ejpam-6725	198	10	linear	linear	PROPN
ejpam-6725	198	11	legendre	legendre	PROPN
ejpam-6725	198	12	multi	multi	ADJ
ejpam-6725	198	13	-	-	ADJ
ejpam-6725	198	14	wavelets	wavelet	NOUN
ejpam-6725	198	15	method	method	NOUN
ejpam-6725	198	16	.	.	PUNCT
ejpam-6725	199	1	more	more	ADV
ejpam-6725	199	2	recently	recently	ADV
ejpam-6725	199	3	,	,	PUNCT
ejpam-6725	199	4	arafa	arafa	NOUN
ejpam-6725	199	5	and	and	CCONJ
ejpam-6725	199	6	ramadan	ramadan	PROPN
ejpam-6725	200	1	[	[	X
ejpam-6725	200	2	34	34	NUM
ejpam-6725	200	3	]	]	PUNCT
ejpam-6725	200	4	investigated	investigate	VERB
ejpam-6725	200	5	it	it	PRON
ejpam-6725	200	6	using	use	VERB
ejpam-6725	200	7	bernoulli	bernoulli	PROPN
ejpam-6725	200	8	wavelets	wavelet	NOUN
ejpam-6725	200	9	method	method	VERB
ejpam-6725	200	10	with	with	ADP
ejpam-6725	200	11	parameters	parameter	NOUN
ejpam-6725	200	12	m	m	VERB
ejpam-6725	200	13	=	=	SYM
ejpam-6725	200	14	3	3	NUM
ejpam-6725	200	15	,	,	PUNCT
ejpam-6725	200	16	k	k	NOUN
ejpam-6725	200	17	=	=	SYM
ejpam-6725	200	18	2	2	X
ejpam-6725	200	19	.	.	PUNCT
ejpam-6725	200	20	applying	apply	VERB
ejpam-6725	200	21	our	our	PRON
ejpam-6725	200	22	proposed	propose	VERB
ejpam-6725	200	23	method	method	NOUN
ejpam-6725	200	24	(	(	PUNCT
ejpam-6725	200	25	lwm	lwm	NOUN
ejpam-6725	200	26	)	)	PUNCT
ejpam-6725	200	27	,	,	PUNCT
ejpam-6725	200	28	the	the	DET
ejpam-6725	200	29	unknown	unknown	ADJ
ejpam-6725	200	30	functions	function	NOUN
ejpam-6725	200	31	u1(t	u1(t	ADP
ejpam-6725	200	32	)	)	PUNCT
ejpam-6725	200	33	,	,	PUNCT
ejpam-6725	200	34	u2(t	u2(t	PROPN
ejpam-6725	200	35	)	)	PUNCT
ejpam-6725	200	36	can	can	AUX
ejpam-6725	200	37	be	be	AUX
ejpam-6725	200	38	expanded	expand	VERB
ejpam-6725	200	39	as	as	ADP
ejpam-6725	200	40	u1(t	u1(t	PROPN
ejpam-6725	200	41	)	)	PUNCT
ejpam-6725	201	1	≈	≈	PROPN
ejpam-6725	201	2	ct	ct	NUM
ejpam-6725	201	3	1	1	NUM
ejpam-6725	201	4	ψ(t	ψ(t	PROPN
ejpam-6725	201	5	)	)	PUNCT
ejpam-6725	201	6	,	,	PUNCT
ejpam-6725	201	7	u2(t	u2(t	NOUN
ejpam-6725	201	8	)	)	PUNCT
ejpam-6725	201	9	≈	≈	PROPN
ejpam-6725	201	10	ct	ct	NOUN
ejpam-6725	201	11	2	2	NUM
ejpam-6725	201	12	ψ(t	ψ(t	PROPN
ejpam-6725	201	13	)	)	PUNCT
ejpam-6725	201	14	(	(	PUNCT
ejpam-6725	201	15	4.2	4.2	NUM
ejpam-6725	201	16	)	)	PUNCT
ejpam-6725	201	17	where	where	SCONJ
ejpam-6725	201	18	c1	c1	PROPN
ejpam-6725	201	19	,	,	PUNCT
ejpam-6725	201	20	c2	c2	PROPN
ejpam-6725	201	21	are	be	AUX
ejpam-6725	201	22	the	the	DET
ejpam-6725	201	23	unknown	unknown	ADJ
ejpam-6725	201	24	2k−1	2k−1	NUM
ejpam-6725	201	25	m	m	NOUN
ejpam-6725	201	26	,	,	PUNCT
ejpam-6725	201	27	m	m	VERB
ejpam-6725	201	28	=	=	NOUN
ejpam-6725	201	29	3	3	NUM
ejpam-6725	201	30	,	,	PUNCT
ejpam-6725	201	31	k	k	NOUN
ejpam-6725	201	32	=	=	SYM
ejpam-6725	201	33	2	2	NUM
ejpam-6725	201	34	vectors	vector	NOUN
ejpam-6725	201	35	with	with	ADP
ejpam-6725	201	36	c1	c1	PROPN
ejpam-6725	201	37	=	=	PUNCT
ejpam-6725	201	38	[	[	PUNCT
ejpam-6725	201	39	c1,0	c1,0	PROPN
ejpam-6725	201	40	c1,1	c1,1	PROPN
ejpam-6725	201	41	c1,2	c1,2	PROPN
ejpam-6725	201	42	c2,0	c2,0	PROPN
ejpam-6725	201	43	c2,1	c2,1	PROPN
ejpam-6725	201	44	c2,2	c2,2	NOUN
ejpam-6725	201	45	]	]	X
ejpam-6725	201	46	t	t	PROPN
ejpam-6725	201	47	,	,	PUNCT
ejpam-6725	201	48	c2	c2	PROPN
ejpam-6725	201	49	=	=	PUNCT
ejpam-6725	202	1	[	[	PUNCT
ejpam-6725	202	2	c′1,0	c′1,0	VERB
ejpam-6725	202	3	c′1,1	c′1,1	ADP
ejpam-6725	202	4	c′1,2	c′1,2	ADJ
ejpam-6725	202	5	c′2,0	c′2,0	PUNCT
ejpam-6725	202	6	c′2,1c	c′2,1c	PROPN
ejpam-6725	202	7	′	′	NUM
ejpam-6725	202	8	2,2	2,2	NUM
ejpam-6725	202	9	]	]	X
ejpam-6725	202	10	t	t	PROPN
ejpam-6725	202	11	and	and	CCONJ
ejpam-6725	202	12	ψ(t	ψ(t	PROPN
ejpam-6725	202	13	)	)	PUNCT
ejpam-6725	202	14	is	be	AUX
ejpam-6725	202	15	legendre	legendre	PROPN
ejpam-6725	202	16	wavelets	wavelet	NOUN
ejpam-6725	202	17	for	for	ADP
ejpam-6725	202	18	m	m	PROPN
ejpam-6725	202	19	=	=	SYM
ejpam-6725	202	20	3	3	NUM
ejpam-6725	202	21	,	,	PUNCT
ejpam-6725	202	22	k	k	NOUN
ejpam-6725	202	23	=	=	SYM
ejpam-6725	202	24	2	2	X
ejpam-6725	202	25	:	:	PUNCT
ejpam-6725	202	26	m.	m.	NOUN
ejpam-6725	202	27	a.	a.	PROPN
ejpam-6725	202	28	ramadan	ramadan	PROPN
ejpam-6725	202	29	et	et	PROPN
ejpam-6725	202	30	al	al	PROPN
ejpam-6725	202	31	.	.	PUNCT
ejpam-6725	202	32	/	/	SYM
ejpam-6725	202	33	eur	eur	PROPN
ejpam-6725	202	34	.	.	PUNCT
ejpam-6725	203	1	j.	j.	PROPN
ejpam-6725	203	2	pure	pure	PROPN
ejpam-6725	203	3	appl	appl	PROPN
ejpam-6725	203	4	.	.	PROPN
ejpam-6725	203	5	math	math	PROPN
ejpam-6725	203	6	,	,	PUNCT
ejpam-6725	203	7	18	18	NUM
ejpam-6725	203	8	(	(	PUNCT
ejpam-6725	203	9	4	4	NUM
ejpam-6725	203	10	)	)	PUNCT
ejpam-6725	203	11	(	(	PUNCT
ejpam-6725	203	12	2025	2025	NUM
ejpam-6725	203	13	)	)	PUNCT
ejpam-6725	203	14	,	,	PUNCT
ejpam-6725	203	15	6725	6725	NUM
ejpam-6725	203	16	8	8	NUM
ejpam-6725	203	17	of	of	ADP
ejpam-6725	203	18	18	18	NUM
ejpam-6725	203	19	ψ(t	ψ(t	NOUN
ejpam-6725	203	20	)	)	PUNCT
ejpam-6725	203	21	=	=	SYM
ejpam-6725	203	22			NUM
ejpam-6725	203	23			PUNCT
ejpam-6725	203	24	ψ1,0	ψ1,0	NOUN
ejpam-6725	203	25	=	=	PUNCT
ejpam-6725	203	26	√	√	ADP
ejpam-6725	203	27	2	2	NUM
ejpam-6725	203	28	ψ1,1	ψ1,1	NOUN
ejpam-6725	203	29	=	=	PUNCT
ejpam-6725	203	30	√	√	ADJ
ejpam-6725	204	1	6(4t−	6(4t−	NUM
ejpam-6725	204	2	1	1	NUM
ejpam-6725	204	3	)	)	PUNCT
ejpam-6725	204	4	ψ1,2	ψ1,2	NOUN
ejpam-6725	204	5	=	=	PUNCT
ejpam-6725	205	1	√	√	NUM
ejpam-6725	205	2	10	10	NUM
ejpam-6725	205	3	(	(	PUNCT
ejpam-6725	205	4	3	3	NUM
ejpam-6725	205	5	2(4t−	2(4t−	NUM
ejpam-6725	205	6	1)2	1)2	NUM
ejpam-6725	205	7	−	−	NOUN
ejpam-6725	205	8	1	1	NUM
ejpam-6725	205	9	2	2	NUM
ejpam-6725	205	10	)	)	PUNCT
ejpam-6725	206	1			NOUN
ejpam-6725	206	2	,	,	PUNCT
ejpam-6725	206	3	0	0	NUM
ejpam-6725	206	4	≤	≤	NUM
ejpam-6725	206	5	t	t	NOUN
ejpam-6725	206	6	<	<	X
ejpam-6725	206	7	1	1	NUM
ejpam-6725	206	8	2	2	NUM
ejpam-6725	206	9	,	,	PUNCT
ejpam-6725	206	10			PUNCT
ejpam-6725	206	11	ψ2,0	ψ2,0	NOUN
ejpam-6725	206	12	=	=	SYM
ejpam-6725	206	13	√	√	ADP
ejpam-6725	206	14	2	2	NUM
ejpam-6725	206	15	ψ2,1	ψ2,1	NOUN
ejpam-6725	206	16	=	=	PUNCT
ejpam-6725	206	17	√	√	NOUN
ejpam-6725	206	18	6(4t−	6(4t−	NUM
ejpam-6725	206	19	3	3	NUM
ejpam-6725	206	20	)	)	PUNCT
ejpam-6725	206	21	ψ2,2	ψ2,2	NOUN
ejpam-6725	207	1	=	=	NOUN
ejpam-6725	208	1	√	√	NUM
ejpam-6725	208	2	10	10	NUM
ejpam-6725	208	3	(	(	PUNCT
ejpam-6725	208	4	3	3	NUM
ejpam-6725	208	5	2(4t−	2(4t−	NUM
ejpam-6725	208	6	3)2	3)2	NUM
ejpam-6725	208	7	−	−	NUM
ejpam-6725	208	8	1	1	NUM
ejpam-6725	208	9	2	2	NUM
ejpam-6725	208	10	)	)	PUNCT
ejpam-6725	208	11			NOUN
ejpam-6725	208	12	,	,	PUNCT
ejpam-6725	208	13	12	12	NUM
ejpam-6725	208	14	≤	≤	NOUN
ejpam-6725	208	15	t	t	X
ejpam-6725	208	16	<	<	X
ejpam-6725	208	17	1	1	NUM
ejpam-6725	208	18	.	.	PUNCT
ejpam-6725	209	1	likewise	likewise	ADV
ejpam-6725	209	2	,	,	PUNCT
ejpam-6725	209	3	k1(x	k1(x	PROPN
ejpam-6725	209	4	,	,	PUNCT
ejpam-6725	209	5	t	t	PROPN
ejpam-6725	209	6	)	)	PUNCT
ejpam-6725	209	7	=	=	PUNCT
ejpam-6725	210	1	x+	x+	PROPN
ejpam-6725	210	2	t	t	PROPN
ejpam-6725	210	3	3	3	NUM
ejpam-6725	210	4	,	,	PUNCT
ejpam-6725	210	5	k2(x	k2(x	PROPN
ejpam-6725	210	6	,	,	PUNCT
ejpam-6725	210	7	t	t	PROPN
ejpam-6725	210	8	)	)	PUNCT
ejpam-6725	210	9	=	=	PUNCT
ejpam-6725	211	1	x+	x+	PROPN
ejpam-6725	211	2	t	t	PROPN
ejpam-6725	211	3	3	3	NUM
ejpam-6725	211	4	,	,	PUNCT
ejpam-6725	211	5	k3(x	k3(x	PROPN
ejpam-6725	211	6	,	,	PUNCT
ejpam-6725	211	7	t	t	PROPN
ejpam-6725	211	8	)	)	PUNCT
ejpam-6725	211	9	=	=	SYM
ejpam-6725	211	10	xt	xt	PROPN
ejpam-6725	211	11	,	,	PUNCT
ejpam-6725	211	12	k4(x	k4(x	PROPN
ejpam-6725	211	13	,	,	PUNCT
ejpam-6725	211	14	t	t	PROPN
ejpam-6725	211	15	)	)	PUNCT
ejpam-6725	211	16	=	=	SYM
ejpam-6725	211	17	xt	xt	X
ejpam-6725	211	18	f(t	f(t	PROPN
ejpam-6725	211	19	)	)	PUNCT
ejpam-6725	212	1	=	=	SYM
ejpam-6725	212	2	t	t	PROPN
ejpam-6725	212	3	18	18	NUM
ejpam-6725	212	4	−	−	PROPN
ejpam-6725	212	5	17	17	NUM
ejpam-6725	212	6	36	36	NUM
ejpam-6725	212	7	,	,	PUNCT
ejpam-6725	212	8	g(t	g(t	PROPN
ejpam-6725	212	9	)	)	PUNCT
ejpam-6725	213	1	=	=	SYM
ejpam-6725	213	2	t2	t2	NOUN
ejpam-6725	213	3	−	−	PROPN
ejpam-6725	213	4	19	19	NUM
ejpam-6725	213	5	12	12	NUM
ejpam-6725	213	6	t+	t+	NUM
ejpam-6725	213	7	1	1	NUM
ejpam-6725	213	8	,	,	PUNCT
ejpam-6725	213	9	are	be	AUX
ejpam-6725	213	10	also	also	ADV
ejpam-6725	213	11	expanded	expand	VERB
ejpam-6725	213	12	into	into	ADP
ejpam-6725	213	13	the	the	DET
ejpam-6725	213	14	lwm	lwm	NOUN
ejpam-6725	213	15	as	as	ADP
ejpam-6725	213	16	:	:	PUNCT
ejpam-6725	213	17	k1(x	k1(x	PROPN
ejpam-6725	213	18	,	,	PUNCT
ejpam-6725	213	19	t	t	PROPN
ejpam-6725	213	20	)	)	PUNCT
ejpam-6725	214	1	≈	≈	PROPN
ejpam-6725	214	2	ψt	ψt	NUM
ejpam-6725	214	3	(	(	PUNCT
ejpam-6725	214	4	x)k1ψ(t	x)k1ψ(t	PROPN
ejpam-6725	214	5	)	)	PUNCT
ejpam-6725	214	6	,	,	PUNCT
ejpam-6725	214	7	k2(x	k2(x	PROPN
ejpam-6725	214	8	,	,	PUNCT
ejpam-6725	214	9	t	t	PROPN
ejpam-6725	214	10	)	)	PUNCT
ejpam-6725	215	1	≈	≈	PROPN
ejpam-6725	215	2	ψt	ψt	NUM
ejpam-6725	215	3	(	(	PUNCT
ejpam-6725	215	4	x)k2ψ(t	x)k2ψ(t	PROPN
ejpam-6725	215	5	)	)	PUNCT
ejpam-6725	215	6	,	,	PUNCT
ejpam-6725	215	7	k3(x	k3(x	PROPN
ejpam-6725	215	8	,	,	PUNCT
ejpam-6725	215	9	t	t	PROPN
ejpam-6725	215	10	)	)	PUNCT
ejpam-6725	216	1	≈	≈	PROPN
ejpam-6725	216	2	ψt	ψt	NOUN
ejpam-6725	216	3	(	(	PUNCT
ejpam-6725	216	4	x)k3ψ(t	x)k3ψ(t	PROPN
ejpam-6725	216	5	)	)	PUNCT
ejpam-6725	216	6	,	,	PUNCT
ejpam-6725	216	7	k4(x	k4(x	PROPN
ejpam-6725	216	8	,	,	PUNCT
ejpam-6725	216	9	t	t	PROPN
ejpam-6725	216	10	)	)	PUNCT
ejpam-6725	217	1	≈	≈	PROPN
ejpam-6725	217	2	ψt	ψt	NOUN
ejpam-6725	217	3	(	(	PUNCT
ejpam-6725	217	4	x)k4ψ(t	x)k4ψ(t	PROPN
ejpam-6725	217	5	)	)	PUNCT
ejpam-6725	217	6	,	,	PUNCT
ejpam-6725	217	7	f(t	f(t	PROPN
ejpam-6725	217	8	)	)	PUNCT
ejpam-6725	218	1	≈	≈	PROPN
ejpam-6725	218	2	f	f	PROPN
ejpam-6725	218	3	tψ(t	tψ(t	NUM
ejpam-6725	218	4	)	)	PUNCT
ejpam-6725	218	5	,	,	PUNCT
ejpam-6725	218	6	g(t	g(t	PROPN
ejpam-6725	218	7	)	)	PUNCT
ejpam-6725	219	1	≈	≈	PROPN
ejpam-6725	219	2	gtψ(t	gtψ(t	PROPN
ejpam-6725	219	3	)	)	PUNCT
ejpam-6725	219	4	.	.	PUNCT
ejpam-6725	220	1	(	(	PUNCT
ejpam-6725	220	2	4.3	4.3	NUM
ejpam-6725	220	3	)	)	PUNCT
ejpam-6725	220	4	after	after	ADP
ejpam-6725	220	5	substituting	substitute	VERB
ejpam-6725	220	6	(	(	PUNCT
ejpam-6725	220	7	4.2	4.2	NUM
ejpam-6725	220	8	)	)	PUNCT
ejpam-6725	220	9	,	,	PUNCT
ejpam-6725	220	10	(	(	PUNCT
ejpam-6725	220	11	4.3	4.3	NUM
ejpam-6725	220	12	)	)	PUNCT
ejpam-6725	220	13	into	into	ADP
ejpam-6725	220	14	(	(	PUNCT
ejpam-6725	220	15	4.1	4.1	NUM
ejpam-6725	220	16	)	)	PUNCT
ejpam-6725	220	17	we	we	PRON
ejpam-6725	220	18	get	get	VERB
ejpam-6725	220	19	,	,	PUNCT
ejpam-6725	220	20	ψt	ψt	NOUN
ejpam-6725	220	21	(	(	PUNCT
ejpam-6725	220	22	t)c1	t)c1	PROPN
ejpam-6725	220	23	=	=	SYM
ejpam-6725	220	24	f	f	PROPN
ejpam-6725	220	25	tψ(t	tψ(t	X
ejpam-6725	220	26	)	)	PUNCT
ejpam-6725	221	1	+	+	CCONJ
ejpam-6725	221	2	[	[	PUNCT
ejpam-6725	221	3	ψt	ψt	NUM
ejpam-6725	221	4	(	(	PUNCT
ejpam-6725	221	5	t)k1c1	t)k1c1	NOUN
ejpam-6725	221	6	+	+	X
ejpam-6725	221	7	ψt	ψt	ADJ
ejpam-6725	221	8	(	(	PUNCT
ejpam-6725	221	9	t)k2c2	t)k2c2	NUM
ejpam-6725	221	10	]	]	PUNCT
ejpam-6725	221	11	,	,	PUNCT
ejpam-6725	221	12	ψt	ψt	NUM
ejpam-6725	221	13	(	(	PUNCT
ejpam-6725	221	14	t)c2	t)c2	PROPN
ejpam-6725	221	15	=	=	SYM
ejpam-6725	221	16	gtψ(t	gtψ(t	PROPN
ejpam-6725	221	17	)	)	PUNCT
ejpam-6725	221	18	+	+	CCONJ
ejpam-6725	221	19	[	[	PUNCT
ejpam-6725	221	20	ψt	ψt	X
ejpam-6725	221	21	(	(	PUNCT
ejpam-6725	221	22	t)k3c1	t)k3c1	NOUN
ejpam-6725	221	23	+	+	NOUN
ejpam-6725	221	24	ψt	ψt	VERB
ejpam-6725	221	25	(	(	PUNCT
ejpam-6725	221	26	t)k4c2	t)k4c2	X
ejpam-6725	221	27	]	]	PUNCT
ejpam-6725	221	28	,	,	PUNCT
ejpam-6725	221	29	(	(	PUNCT
ejpam-6725	221	30	4.4	4.4	NUM
ejpam-6725	221	31	)	)	PUNCT
ejpam-6725	221	32	which	which	PRON
ejpam-6725	221	33	can	can	AUX
ejpam-6725	221	34	be	be	AUX
ejpam-6725	221	35	written	write	VERB
ejpam-6725	221	36	in	in	ADP
ejpam-6725	221	37	the	the	DET
ejpam-6725	221	38	coupled	couple	VERB
ejpam-6725	221	39	system	system	NOUN
ejpam-6725	221	40	of	of	ADP
ejpam-6725	221	41	matrix	matrix	NOUN
ejpam-6725	221	42	equations	equation	NOUN
ejpam-6725	221	43	,	,	PUNCT
ejpam-6725	221	44	(	(	PUNCT
ejpam-6725	221	45	i	i	PRON
ejpam-6725	221	46	−k1)c1	−k1)c1	VERB
ejpam-6725	221	47	−k2c2	−k2c2	PROPN
ejpam-6725	221	48	=	=	SYM
ejpam-6725	221	49	f	f	PROPN
ejpam-6725	221	50	and	and	CCONJ
ejpam-6725	221	51	(	(	PUNCT
ejpam-6725	221	52	i	i	PRON
ejpam-6725	221	53	−k3)c2	−k3)c2	VERB
ejpam-6725	221	54	−k4c1	−k4c1	VERB
ejpam-6725	221	55	=	=	PUNCT
ejpam-6725	221	56	g.	g.	PROPN
ejpam-6725	221	57	(	(	PUNCT
ejpam-6725	221	58	4.5	4.5	NUM
ejpam-6725	221	59	)	)	PUNCT
ejpam-6725	221	60	we	we	PRON
ejpam-6725	221	61	can	can	AUX
ejpam-6725	221	62	write	write	VERB
ejpam-6725	221	63	(	(	PUNCT
ejpam-6725	221	64	4.5	4.5	NUM
ejpam-6725	221	65	)	)	PUNCT
ejpam-6725	221	66	further	far	ADV
ejpam-6725	221	67	in	in	ADP
ejpam-6725	221	68	the	the	DET
ejpam-6725	221	69	form	form	NOUN
ejpam-6725	221	70	:	:	PUNCT
ejpam-6725	221	71	a1c1	a1c1	PRON
ejpam-6725	221	72	+	+	ADJ
ejpam-6725	221	73	b1c2	b1c2	NOUN
ejpam-6725	221	74	=	=	SYM
ejpam-6725	221	75	f	f	PROPN
ejpam-6725	221	76	and	and	CCONJ
ejpam-6725	221	77	a2c1	a2c1	PROPN
ejpam-6725	222	1	+	+	NOUN
ejpam-6725	222	2	b2c2	b2c2	PROPN
ejpam-6725	222	3	=	=	PUNCT
ejpam-6725	222	4	g	g	NOUN
ejpam-6725	222	5	,	,	PUNCT
ejpam-6725	222	6	(	(	PUNCT
ejpam-6725	222	7	4.6	4.6	NUM
ejpam-6725	222	8	)	)	PUNCT
ejpam-6725	223	1	where	where	SCONJ
ejpam-6725	223	2	,	,	PUNCT
ejpam-6725	223	3	m.	m.	NOUN
ejpam-6725	223	4	a.	a.	PROPN
ejpam-6725	223	5	ramadan	ramadan	PROPN
ejpam-6725	223	6	et	et	PROPN
ejpam-6725	223	7	al	al	PROPN
ejpam-6725	223	8	.	.	PUNCT
ejpam-6725	223	9	/	/	SYM
ejpam-6725	223	10	eur	eur	PROPN
ejpam-6725	223	11	.	.	PUNCT
ejpam-6725	224	1	j.	j.	PROPN
ejpam-6725	224	2	pure	pure	PROPN
ejpam-6725	224	3	appl	appl	PROPN
ejpam-6725	224	4	.	.	PROPN
ejpam-6725	224	5	math	math	PROPN
ejpam-6725	224	6	,	,	PUNCT
ejpam-6725	224	7	18	18	NUM
ejpam-6725	224	8	(	(	PUNCT
ejpam-6725	224	9	4	4	NUM
ejpam-6725	224	10	)	)	PUNCT
ejpam-6725	224	11	(	(	PUNCT
ejpam-6725	224	12	2025	2025	NUM
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ejpam-6725	224	15	6725	6725	NUM
ejpam-6725	224	16	9	9	NUM
ejpam-6725	224	17	of	of	ADP
ejpam-6725	224	18	18	18	NUM
ejpam-6725	224	19	a1	a1	NOUN
ejpam-6725	224	20	=	=	PUNCT
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ejpam-6725	225	2	−k1	−k1	NOUN
ejpam-6725	225	3	=	=	PUNCT
ejpam-6725	225	4			NOUN
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ejpam-6725	226	1	−0.16667	−0.16667	X
ejpam-6725	226	2	−0.024056	−0.024056	NOUN
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ejpam-6725	226	5	1	1	NUM
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ejpam-6725	226	8	0	0	NUM
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ejpam-6725	226	10	0	0	NUM
ejpam-6725	226	11	0	0	NUM
ejpam-6725	226	12	1	1	NUM
ejpam-6725	226	13	0	0	NUM
ejpam-6725	226	14	0	0	NUM
ejpam-6725	226	15	0	0	NUM
ejpam-6725	226	16	−0.16667	−0.16667	X
ejpam-6725	226	17	−0.024056	−0.024056	NOUN
ejpam-6725	226	18	0	0	NUM
ejpam-6725	226	19	0.75	0.75	NUM
ejpam-6725	226	20	−0.024056	−0.024056	X
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ejpam-6725	226	22	−0.024056	−0.024056	NUM
ejpam-6725	226	23	0	0	NUM
ejpam-6725	226	24	0	0	NUM
ejpam-6725	226	25	−0.024056	−0.024056	NUM
ejpam-6725	226	26	1	1	NUM
ejpam-6725	226	27	0	0	NUM
ejpam-6725	226	28	0	0	NUM
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ejpam-6725	226	30	0	0	NUM
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ejpam-6725	226	32	0	0	NUM
ejpam-6725	226	33	1	1	NUM
ejpam-6725	226	34			PROPN
ejpam-6725	226	35	,	,	PUNCT
ejpam-6725	226	36	b1	b1	NOUN
ejpam-6725	226	37	=	=	SYM
ejpam-6725	226	38	−k2	−k2	PROPN
ejpam-6725	226	39	=	=	PUNCT
ejpam-6725	226	40			NOUN
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ejpam-6725	226	45	−0.024056	−0.024056	NOUN
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ejpam-6725	226	59	−0.16667	−0.16667	X
ejpam-6725	226	60	−0.024056	−0.024056	NOUN
ejpam-6725	226	61	0	0	NUM
ejpam-6725	227	1	−0.25	−0.25	NOUN
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ejpam-6725	228	1	−0.024056	−0.024056	X
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ejpam-6725	228	3	0	0	NUM
ejpam-6725	229	1	−0.024056	−0.024056	NUM
ejpam-6725	229	2	0	0	NUM
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ejpam-6725	229	7	0	0	NUM
ejpam-6725	229	8	0	0	NUM
ejpam-6725	229	9	0	0	NUM
ejpam-6725	230	1			PROPN
ejpam-6725	230	2	,	,	PUNCT
ejpam-6725	230	3	a2	a2	PROPN
ejpam-6725	230	4	=	=	PUNCT
ejpam-6725	230	5	−k4	−k4	X
ejpam-6725	230	6	=	=	PUNCT
ejpam-6725	230	7			NOUN
ejpam-6725	230	8	−0.03125	−0.03125	CCONJ
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ejpam-6725	230	10	0	0	PUNCT
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ejpam-6725	230	13	0	0	NUM
ejpam-6725	230	14	−0.018042	−0.018042	X
ejpam-6725	231	1	−0.010417	−0.010417	NUM
ejpam-6725	231	2	0	0	NUM
ejpam-6725	232	1	−0.054127	−0.054127	NOUN
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ejpam-6725	232	3	0	0	NUM
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ejpam-6725	232	5	0	0	NUM
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ejpam-6725	232	7	0	0	NUM
ejpam-6725	232	8	0	0	NUM
ejpam-6725	232	9	0	0	NUM
ejpam-6725	232	10	−0.09375	−0.09375	NOUN
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ejpam-6725	235	3	0	0	NUM
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ejpam-6725	235	9	0	0	NUM
ejpam-6725	235	10			PROPN
ejpam-6725	235	11	,	,	PUNCT
ejpam-6725	235	12	b2	b2	NOUN
ejpam-6725	235	13	=	=	NOUN
ejpam-6725	236	1	i	i	PRON
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ejpam-6725	236	3	=	=	PUNCT
ejpam-6725	236	4			VERB
ejpam-6725	236	5	0.96875	0.96875	NUM
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ejpam-6725	237	3	0	0	NUM
ejpam-6725	238	1	−0.054127	−0.054127	NOUN
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ejpam-6725	239	1	−0.010417	−0.010417	PRON
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ejpam-6725	240	8	0	0	NUM
ejpam-6725	240	9	1	1	NUM
ejpam-6725	240	10			PROPN
ejpam-6725	240	11	,	,	PUNCT
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ejpam-6725	240	13	=	=	PUNCT
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ejpam-6725	241	2	0.34373	0.34373	NUM
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ejpam-6725	241	7	0	0	NUM
ejpam-6725	241	8	]	]	X
ejpam-6725	241	9	t	t	NOUN
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ejpam-6725	241	12	=	=	PUNCT
ejpam-6725	241	13	[	[	PUNCT
ejpam-6725	241	14	−0.48614	−0.48614	NUM
ejpam-6725	241	15	−0.11057	−0.11057	NOUN
ejpam-6725	241	16	0.013176	0.013176	NUM
ejpam-6725	241	17	0.2799	0.2799	NUM
ejpam-6725	241	18	−0.0085052	−0.0085052	PRON
ejpam-6725	241	19	0.013176	0.013176	NUM
ejpam-6725	241	20	]	]	PUNCT
ejpam-6725	241	21	t	t	X
ejpam-6725	241	22	.	.	PUNCT
ejpam-6725	242	1	using	use	VERB
ejpam-6725	242	2	our	our	PRON
ejpam-6725	242	3	proposed	propose	VERB
ejpam-6725	242	4	finite	finite	ADJ
ejpam-6725	242	5	iterative	iterative	NOUN
ejpam-6725	242	6	algorithm	algorithm	NOUN
ejpam-6725	242	7	2.1	2.1	NUM
ejpam-6725	242	8	to	to	PART
ejpam-6725	242	9	solve	solve	VERB
ejpam-6725	242	10	the	the	DET
ejpam-6725	242	11	coupled	couple	VERB
ejpam-6725	242	12	matrix	matrix	NOUN
ejpam-6725	242	13	system	system	NOUN
ejpam-6725	242	14	given	give	VERB
ejpam-6725	242	15	in	in	ADP
ejpam-6725	242	16	equation	equation	NOUN
ejpam-6725	242	17	(	(	PUNCT
ejpam-6725	242	18	4.6	4.6	NUM
ejpam-6725	242	19	)	)	PUNCT
ejpam-6725	242	20	,	,	PUNCT
ejpam-6725	242	21	we	we	PRON
ejpam-6725	242	22	obtain	obtain	VERB
ejpam-6725	242	23	the	the	DET
ejpam-6725	242	24	coefficient	coefficient	NOUN
ejpam-6725	242	25	vectors	vector	NOUN
ejpam-6725	242	26	c1	c1	NOUN
ejpam-6725	242	27	=	=	PUNCT
ejpam-6725	242	28	[	[	PUNCT
ejpam-6725	242	29	0.8839	0.8839	NUM
ejpam-6725	242	30	,	,	PUNCT
ejpam-6725	242	31	0.1021	0.1021	NUM
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ejpam-6725	242	39	0	0	NUM
ejpam-6725	242	40	]	]	X
ejpam-6725	242	41	t	t	NOUN
ejpam-6725	242	42	and	and	CCONJ
ejpam-6725	242	43	c2	c2	PROPN
ejpam-6725	242	44	=	=	PUNCT
ejpam-6725	243	1	[	[	X
ejpam-6725	243	2	0.766032	0.766032	NUM
ejpam-6725	243	3	,	,	PUNCT
ejpam-6725	243	4	0.051031	0.051031	NUM
ejpam-6725	243	5	,	,	PUNCT
ejpam-6725	243	6	0.0131762	0.0131762	NUM
ejpam-6725	243	7	,	,	PUNCT
ejpam-6725	243	8	1.11959	1.11959	NUM
ejpam-6725	243	9	,	,	PUNCT
ejpam-6725	243	10	0.153093	0.153093	NUM
ejpam-6725	243	11	,	,	PUNCT
ejpam-6725	243	12	0.0131762]t	0.0131762]t	NUM
ejpam-6725	243	13	.	.	PUNCT
ejpam-6725	244	1	substituting	substitute	VERB
ejpam-6725	244	2	these	these	DET
ejpam-6725	244	3	coefficient	coefficient	NOUN
ejpam-6725	244	4	vectors	vector	NOUN
ejpam-6725	244	5	into	into	ADP
ejpam-6725	244	6	a	a	DET
ejpam-6725	244	7	coupled	couple	VERB
ejpam-6725	244	8	system	system	NOUN
ejpam-6725	244	9	of	of	ADP
ejpam-6725	244	10	equations	equation	NOUN
ejpam-6725	244	11	(	(	PUNCT
ejpam-6725	244	12	4.6	4.6	NUM
ejpam-6725	244	13	)	)	PUNCT
ejpam-6725	244	14	provides	provide	VERB
ejpam-6725	244	15	the	the	DET
ejpam-6725	244	16	approximate	approximate	ADJ
ejpam-6725	244	17	solutions	solution	NOUN
ejpam-6725	244	18	at	at	ADP
ejpam-6725	244	19	the	the	DET
ejpam-6725	244	20	corresponding	corresponding	ADJ
ejpam-6725	244	21	time	time	NOUN
ejpam-6725	244	22	points	point	NOUN
ejpam-6725	244	23	,	,	PUNCT
ejpam-6725	244	24	as	as	SCONJ
ejpam-6725	244	25	shown	show	VERB
ejpam-6725	244	26	in	in	ADP
ejpam-6725	244	27	table	table	NOUN
ejpam-6725	244	28	1	1	NUM
ejpam-6725	244	29	.	.	PUNCT
ejpam-6725	244	30	m.	m.	NOUN
ejpam-6725	244	31	a.	a.	PROPN
ejpam-6725	244	32	ramadan	ramadan	PROPN
ejpam-6725	244	33	et	et	PROPN
ejpam-6725	244	34	al	al	PROPN
ejpam-6725	244	35	.	.	PUNCT
ejpam-6725	244	36	/	/	SYM
ejpam-6725	244	37	eur	eur	PROPN
ejpam-6725	244	38	.	.	PUNCT
ejpam-6725	245	1	j.	j.	PROPN
ejpam-6725	245	2	pure	pure	PROPN
ejpam-6725	245	3	appl	appl	PROPN
ejpam-6725	245	4	.	.	PROPN
ejpam-6725	245	5	math	math	PROPN
ejpam-6725	245	6	,	,	PUNCT
ejpam-6725	245	7	18	18	NUM
ejpam-6725	245	8	(	(	PUNCT
ejpam-6725	245	9	4	4	NUM
ejpam-6725	245	10	)	)	PUNCT
ejpam-6725	245	11	(	(	PUNCT
ejpam-6725	245	12	2025	2025	NUM
ejpam-6725	245	13	)	)	PUNCT
ejpam-6725	245	14	,	,	PUNCT
ejpam-6725	245	15	6725	6725	NUM
ejpam-6725	245	16	10	10	NUM
ejpam-6725	245	17	of	of	ADP
ejpam-6725	245	18	18	18	NUM
ejpam-6725	245	19	table	table	NOUN
ejpam-6725	245	20	1	1	NUM
ejpam-6725	245	21	:	:	PUNCT
ejpam-6725	245	22	the	the	DET
ejpam-6725	245	23	numerical	numerical	ADJ
ejpam-6725	245	24	results	result	NOUN
ejpam-6725	245	25	for	for	ADP
ejpam-6725	245	26	example	example	NOUN
ejpam-6725	245	27	1	1	NUM
ejpam-6725	245	28	with	with	ADP
ejpam-6725	245	29	proposed	propose	VERB
ejpam-6725	245	30	legendre	legendre	PROPN
ejpam-6725	245	31	wavelets	wavelet	NOUN
ejpam-6725	245	32	for	for	ADP
ejpam-6725	245	33	m	m	PROPN
ejpam-6725	245	34	=	=	SYM
ejpam-6725	245	35	3	3	NUM
ejpam-6725	245	36	,	,	PUNCT
ejpam-6725	245	37	k	k	NOUN
ejpam-6725	245	38	=	=	SYM
ejpam-6725	245	39	2	2	NUM
ejpam-6725	245	40	t	t	NOUN
ejpam-6725	245	41	exact	exact	ADJ
ejpam-6725	245	42	solution	solution	NOUN
ejpam-6725	245	43	(	(	PUNCT
ejpam-6725	245	44	u1(t	u1(t	PROPN
ejpam-6725	245	45	)	)	PUNCT
ejpam-6725	245	46	,	,	PUNCT
ejpam-6725	245	47	u2(t	u2(t	NOUN
ejpam-6725	245	48	)	)	PUNCT
ejpam-6725	245	49	)	)	PUNCT
ejpam-6725	245	50	presented	present	VERB
ejpam-6725	245	51	method	method	NOUN
ejpam-6725	245	52	(	(	PUNCT
ejpam-6725	245	53	u1(t	u1(t	PROPN
ejpam-6725	245	54	)	)	PUNCT
ejpam-6725	245	55	,	,	PUNCT
ejpam-6725	245	56	u2(t	u2(t	NOUN
ejpam-6725	245	57	)	)	PUNCT
ejpam-6725	245	58	)	)	PUNCT
ejpam-6725	245	59	absolute	absolute	ADJ
ejpam-6725	245	60	error	error	NOUN
ejpam-6725	245	61	0	0	NUM
ejpam-6725	245	62	1.0	1.0	NUM
ejpam-6725	245	63	1.0	1.0	NUM
ejpam-6725	245	64	0.9999999999999529	0.9999999999999529	NUM
ejpam-6725	245	65	1.000000000000972	1.000000000000972	NUM
ejpam-6725	245	66	4.7073e−	4.7073e−	NUM
ejpam-6725	245	67	14	14	NUM
ejpam-6725	245	68	9.7167e−	9.7167e−	NUM
ejpam-6725	245	69	13	13	NUM
ejpam-6725	245	70	0.1	0.1	NUM
ejpam-6725	245	71	1.1	1.1	NUM
ejpam-6725	245	72	1.01	1.01	NUM
ejpam-6725	245	73	1.099999999999799	1.099999999999799	NUM
ejpam-6725	245	74	1.01000000000094	1.01000000000094	NUM
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ejpam-6725	245	78	13	13	NUM
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ejpam-6725	245	88	0.3	0.3	NUM
ejpam-6725	245	89	1.3	1.3	NUM
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ejpam-6725	245	96	13	13	NUM
ejpam-6725	245	97	0.4	0.4	NUM
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ejpam-6725	245	107	1.5	1.5	NUM
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ejpam-6725	245	112	12	12	NUM
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ejpam-6725	245	114	12	12	NUM
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ejpam-6725	245	116	1.6	1.6	NUM
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ejpam-6725	245	119	1.359999999997396	1.359999999997396	NUM
ejpam-6725	245	120	1.4029e−	1.4029e−	NUM
ejpam-6725	245	121	12	12	NUM
ejpam-6725	245	122	2.6037e−	2.6037e−	NUM
ejpam-6725	245	123	12	12	NUM
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ejpam-6725	245	133	0.8	0.8	NUM
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ejpam-6725	245	150	12	12	NUM
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ejpam-6725	245	152	2	2	NUM
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ejpam-6725	249	6	]	]	SYM
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ejpam-6725	249	13	]	]	X
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ejpam-6725	249	20	results	result	NOUN
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ejpam-6725	249	22	u1(t	u1(t	ADP
ejpam-6725	249	23	)	)	PUNCT
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ejpam-6725	251	3	−	−	NUM
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ejpam-6725	251	7	−	−	NOUN
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ejpam-6725	252	1	−	−	NOUN
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ejpam-6725	253	7	−	−	NUM
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ejpam-6725	254	7	−	−	PROPN
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ejpam-6725	254	12	−	−	NOUN
ejpam-6725	254	13	04	04	NUM
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ejpam-6725	254	20	−	−	NOUN
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ejpam-6725	254	25	−	−	NOUN
ejpam-6725	254	26	04	04	NUM
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ejpam-6725	254	29	e	e	PROPN
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ejpam-6725	254	34	13	13	NUM
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ejpam-6725	254	38	−	−	NOUN
ejpam-6725	254	39	04	04	NUM
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ejpam-6725	254	51	−	−	NUM
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ejpam-6725	254	99	12	12	NUM
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ejpam-6725	254	103	)	)	PUNCT
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ejpam-6725	254	112	method	method	NOUN
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ejpam-6725	254	116	]	]	X
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ejpam-6725	254	119	presented	present	VERB
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ejpam-6725	254	121	absolute	absolute	ADJ
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ejpam-6725	254	127	02	02	NUM
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ejpam-6725	254	130	+	+	NUM
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ejpam-6725	255	2	−	−	NUM
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ejpam-6725	255	7	−	−	NUM
ejpam-6725	255	8	02	02	NUM
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ejpam-6725	255	11	−	−	PROPN
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ejpam-6725	258	5	−	−	PROPN
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ejpam-6725	259	6	−	−	NUM
ejpam-6725	259	7	02	02	NUM
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ejpam-6725	259	15	−	−	NUM
ejpam-6725	259	16	02	02	NUM
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ejpam-6725	259	20	02	02	NUM
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ejpam-6725	259	22	2.4176e	2.4176e	NOUN
ejpam-6725	259	23	−	−	PROPN
ejpam-6725	259	24	12	12	NUM
ejpam-6725	259	25	0.6	0.6	NUM
ejpam-6725	259	26	1.369869	1.369869	NUM
ejpam-6725	259	27	9.86860e	9.86860e	NUM
ejpam-6725	259	28	−	−	PROPN
ejpam-6725	259	29	03	03	NUM
ejpam-6725	259	30	1.339296	1.339296	NUM
ejpam-6725	259	31	2.07040e	2.07040e	NOUN
ejpam-6725	259	32	−	−	PROPN
ejpam-6725	259	33	02	02	NUM
ejpam-6725	259	34	1.35999999999974	1.35999999999974	NUM
ejpam-6725	259	35	2.6037e	2.6037e	NUM
ejpam-6725	259	36	−	−	PROPN
ejpam-6725	259	37	12	12	NUM
ejpam-6725	259	38	0.7	0.7	NUM
ejpam-6725	259	39	1.493387	1.493387	NUM
ejpam-6725	259	40	3.38735e	3.38735e	NUM
ejpam-6725	260	1	−	−	NOUN
ejpam-6725	260	2	03	03	NUM
ejpam-6725	260	3	1.465846	1.465846	NUM
ejpam-6725	260	4	2.41540e	2.41540e	NOUN
ejpam-6725	260	5	−	−	NUM
ejpam-6725	260	6	02	02	NUM
ejpam-6725	260	7	1.4899999999972	1.4899999999972	NUM
ejpam-6725	260	8	2.812e	2.812e	NUM
ejpam-6725	260	9	−	−	NUM
ejpam-6725	260	10	12	12	NUM
ejpam-6725	260	11	0.8	0.8	NUM
ejpam-6725	260	12	1.637935	1.637935	NUM
ejpam-6725	260	13	2.06503e	2.06503e	NOUN
ejpam-6725	260	14	−	−	NOUN
ejpam-6725	260	15	03	03	NUM
ejpam-6725	260	16	1.612695	1.612695	NUM
ejpam-6725	260	17	2.73050e	2.73050e	NUM
ejpam-6725	260	18	−	−	NUM
ejpam-6725	260	19	02	02	NUM
ejpam-6725	260	20	1.639999999997	1.639999999997	NUM
ejpam-6725	260	21	3.0429e	3.0429e	NUM
ejpam-6725	260	22	−	−	NUM
ejpam-6725	260	23	12	12	NUM
ejpam-6725	260	24	0.9	0.9	NUM
ejpam-6725	260	25	1.803511	1.803511	NUM
ejpam-6725	260	26	6.48854e	6.48854e	NUM
ejpam-6725	261	1	−	−	NUM
ejpam-6725	261	2	03	03	NUM
ejpam-6725	262	1	1.778945	1.778945	NUM
ejpam-6725	262	2	3.10550e	3.10550e	NUM
ejpam-6725	262	3	−	−	PROPN
ejpam-6725	262	4	02	02	NUM
ejpam-6725	262	5	1.8099999999967	1.8099999999967	NUM
ejpam-6725	263	1	3.2967e	3.2967e	NUM
ejpam-6725	263	2	−	−	PROPN
ejpam-6725	263	3	12	12	NUM
ejpam-6725	263	4	as	as	SCONJ
ejpam-6725	263	5	shown	show	VERB
ejpam-6725	263	6	in	in	ADP
ejpam-6725	263	7	tables	table	NOUN
ejpam-6725	263	8	2	2	NUM
ejpam-6725	263	9	and	and	CCONJ
ejpam-6725	263	10	3	3	NUM
ejpam-6725	263	11	,	,	PUNCT
ejpam-6725	263	12	our	our	PRON
ejpam-6725	263	13	proposed	propose	VERB
ejpam-6725	263	14	method	method	NOUN
ejpam-6725	263	15	yields	yield	VERB
ejpam-6725	263	16	more	more	ADV
ejpam-6725	263	17	accurate	accurate	ADJ
ejpam-6725	263	18	results	result	NOUN
ejpam-6725	263	19	compared	compare	VERB
ejpam-6725	263	20	to	to	ADP
ejpam-6725	263	21	those	those	PRON
ejpam-6725	263	22	reported	report	VERB
ejpam-6725	263	23	in	in	ADP
ejpam-6725	263	24	references	reference	NOUN
ejpam-6725	263	25	[	[	X
ejpam-6725	263	26	12	12	NUM
ejpam-6725	263	27	]	]	PUNCT
ejpam-6725	263	28	,	,	PUNCT
ejpam-6725	263	29	[	[	X
ejpam-6725	263	30	33	33	NUM
ejpam-6725	263	31	]	]	PUNCT
ejpam-6725	263	32	,	,	PUNCT
ejpam-6725	263	33	and	and	CCONJ
ejpam-6725	263	34	[	[	X
ejpam-6725	263	35	29	29	NUM
ejpam-6725	263	36	]	]	PUNCT
ejpam-6725	263	37	.	.	PUNCT
ejpam-6725	264	1	furthermore	furthermore	ADV
ejpam-6725	264	2	,	,	PUNCT
ejpam-6725	264	3	table	table	NOUN
ejpam-6725	264	4	4	4	NUM
ejpam-6725	264	5	indicates	indicate	VERB
ejpam-6725	264	6	that	that	SCONJ
ejpam-6725	264	7	the	the	DET
ejpam-6725	264	8	accuracy	accuracy	NOUN
ejpam-6725	264	9	of	of	ADP
ejpam-6725	264	10	our	our	PRON
ejpam-6725	264	11	method	method	NOUN
ejpam-6725	264	12	is	be	AUX
ejpam-6725	264	13	nearly	nearly	ADV
ejpam-6725	264	14	equivalent	equivalent	ADJ
ejpam-6725	264	15	to	to	ADP
ejpam-6725	264	16	that	that	PRON
ejpam-6725	264	17	of	of	ADP
ejpam-6725	264	18	the	the	DET
ejpam-6725	264	19	approach	approach	NOUN
ejpam-6725	264	20	presented	present	VERB
ejpam-6725	264	21	in	in	ADP
ejpam-6725	264	22	reference	reference	NOUN
ejpam-6725	264	23	[	[	X
ejpam-6725	264	24	34	34	NUM
ejpam-6725	264	25	]	]	PUNCT
ejpam-6725	264	26	.	.	PUNCT
ejpam-6725	265	1	in	in	ADP
ejpam-6725	265	2	addition	addition	NOUN
ejpam-6725	265	3	to	to	ADP
ejpam-6725	265	4	its	its	PRON
ejpam-6725	265	5	superior	superior	ADJ
ejpam-6725	265	6	or	or	CCONJ
ejpam-6725	265	7	comparable	comparable	ADJ
ejpam-6725	265	8	accuracy	accuracy	NOUN
ejpam-6725	265	9	,	,	PUNCT
ejpam-6725	265	10	our	our	PRON
ejpam-6725	265	11	method	method	NOUN
ejpam-6725	265	12	is	be	AUX
ejpam-6725	265	13	also	also	ADV
ejpam-6725	265	14	highly	highly	ADV
ejpam-6725	265	15	efficient	efficient	ADJ
ejpam-6725	265	16	,	,	PUNCT
ejpam-6725	265	17	as	as	SCONJ
ejpam-6725	265	18	it	it	PRON
ejpam-6725	265	19	eliminates	eliminate	VERB
ejpam-6725	265	20	the	the	DET
ejpam-6725	265	21	need	need	NOUN
ejpam-6725	265	22	for	for	ADP
ejpam-6725	265	23	the	the	DET
ejpam-6725	265	24	computationally	computationally	ADV
ejpam-6725	265	25	intensive	intensive	ADJ
ejpam-6725	265	26	matrix	matrix	NOUN
ejpam-6725	265	27	inversion	inversion	NOUN
ejpam-6725	265	28	when	when	SCONJ
ejpam-6725	265	29	determining	determine	VERB
ejpam-6725	265	30	the	the	DET
ejpam-6725	265	31	coefficient	coefficient	NOUN
ejpam-6725	265	32	vectors	vector	NOUN
ejpam-6725	265	33	c1	c1	PROPN
ejpam-6725	265	34	,	,	PUNCT
ejpam-6725	265	35	c2	c2	PROPN
ejpam-6725	265	36	.	.	PUNCT
ejpam-6725	265	37	example	example	NOUN
ejpam-6725	265	38	2	2	NUM
ejpam-6725	265	39	consider	consider	VERB
ejpam-6725	265	40	the	the	DET
ejpam-6725	265	41	system	system	NOUN
ejpam-6725	265	42	of	of	ADP
ejpam-6725	265	43	two	two	NUM
ejpam-6725	265	44	linear	linear	ADJ
ejpam-6725	265	45	fredholm	fredholm	NOUN
ejpam-6725	265	46	integral	integral	ADJ
ejpam-6725	265	47	equations	equation	NOUN
ejpam-6725	265	48	(	(	PUNCT
ejpam-6725	265	49	[	[	X
ejpam-6725	265	50	12],[25,[33	12],[25,[33	NOUN
ejpam-6725	265	51	]	]	X
ejpam-6725	265	52	)	)	PUNCT
ejpam-6725	265	53	.	.	PUNCT
ejpam-6725	266	1	u1(t	u1(t	X
ejpam-6725	266	2	)	)	PUNCT
ejpam-6725	266	3	=	=	SYM
ejpam-6725	267	1	t−	t−	PROPN
ejpam-6725	267	2	5	5	NUM
ejpam-6725	267	3	18	18	NUM
ejpam-6725	267	4	+	+	CCONJ
ejpam-6725	267	5	1	1	NUM
ejpam-6725	267	6	3	3	NUM
ejpam-6725	267	7	∫	∫	NOUN
ejpam-6725	267	8	1	1	NUM
ejpam-6725	267	9	x=0	x=0	PROPN
ejpam-6725	267	10	(	(	PUNCT
ejpam-6725	267	11	u1(x	u1(x	PROPN
ejpam-6725	267	12	)	)	PUNCT
ejpam-6725	267	13	+	+	PUNCT
ejpam-6725	267	14	u2(x	u2(x	X
ejpam-6725	267	15	)	)	PUNCT
ejpam-6725	267	16	)	)	PUNCT
ejpam-6725	267	17	dx	dx	PROPN
ejpam-6725	267	18	,	,	PUNCT
ejpam-6725	267	19	u2(t	u2(t	NOUN
ejpam-6725	267	20	)	)	PUNCT
ejpam-6725	267	21	=	=	SYM
ejpam-6725	267	22	t2	t2	NOUN
ejpam-6725	267	23	−	−	PROPN
ejpam-6725	267	24	5	5	NUM
ejpam-6725	267	25	12	12	NUM
ejpam-6725	267	26	+	+	CCONJ
ejpam-6725	267	27	1	1	NUM
ejpam-6725	267	28	2	2	NUM
ejpam-6725	267	29	∫	∫	NOUN
ejpam-6725	267	30	1	1	NUM
ejpam-6725	267	31	x=0	x=0	PROPN
ejpam-6725	267	32	(	(	PUNCT
ejpam-6725	267	33	u1(x	u1(x	PROPN
ejpam-6725	267	34	)	)	PUNCT
ejpam-6725	267	35	+	+	PUNCT
ejpam-6725	267	36	u2(x	u2(x	X
ejpam-6725	267	37	)	)	PUNCT
ejpam-6725	267	38	)	)	PUNCT
ejpam-6725	267	39	dx	dx	PROPN
ejpam-6725	267	40	,	,	PUNCT
ejpam-6725	267	41	(	(	PUNCT
ejpam-6725	267	42	4.7	4.7	NUM
ejpam-6725	267	43	)	)	PUNCT
ejpam-6725	267	44	table	table	NOUN
ejpam-6725	267	45	3	3	NUM
ejpam-6725	267	46	:	:	PUNCT
ejpam-6725	267	47	comparison	comparison	NOUN
ejpam-6725	267	48	between	between	ADP
ejpam-6725	267	49	absolute	absolute	ADJ
ejpam-6725	267	50	errors	error	NOUN
ejpam-6725	267	51	for	for	ADP
ejpam-6725	267	52	results	result	NOUN
ejpam-6725	267	53	of	of	ADP
ejpam-6725	267	54	example	example	NOUN
ejpam-6725	267	55	1	1	NUM
ejpam-6725	267	56	for	for	ADP
ejpam-6725	267	57	our	our	PRON
ejpam-6725	267	58	presented	present	VERB
ejpam-6725	267	59	method	method	NOUN
ejpam-6725	267	60	with	with	ADP
ejpam-6725	267	61	m	m	PROPN
ejpam-6725	267	62	=	=	SYM
ejpam-6725	267	63	3	3	NUM
ejpam-6725	267	64	,	,	PUNCT
ejpam-6725	267	65	k	k	NOUN
ejpam-6725	267	66	=	=	SYM
ejpam-6725	267	67	2	2	NUM
ejpam-6725	267	68	and	and	CCONJ
ejpam-6725	267	69	presented	present	VERB
ejpam-6725	267	70	method	method	NOUN
ejpam-6725	267	71	[	[	X
ejpam-6725	267	72	29	29	NUM
ejpam-6725	267	73	]	]	PUNCT
ejpam-6725	267	74	.	.	PUNCT
ejpam-6725	268	1	t	t	PROPN
ejpam-6725	268	2	method	method	NOUN
ejpam-6725	268	3	in	in	ADP
ejpam-6725	268	4	[	[	X
ejpam-6725	268	5	29	29	NUM
ejpam-6725	268	6	]	]	SYM
ejpam-6725	268	7	absolute	absolute	ADJ
ejpam-6725	268	8	error	error	NOUN
ejpam-6725	268	9	presented	present	VERB
ejpam-6725	268	10	method	method	VERB
ejpam-6725	268	11	absolute	absolute	ADJ
ejpam-6725	268	12	error	error	NOUN
ejpam-6725	268	13	method	method	NOUN
ejpam-6725	268	14	in	in	ADP
ejpam-6725	268	15	[	[	X
ejpam-6725	268	16	29	29	NUM
ejpam-6725	268	17	]	]	SYM
ejpam-6725	268	18	absolute	absolute	ADJ
ejpam-6725	268	19	error	error	NOUN
ejpam-6725	268	20	presented	present	VERB
ejpam-6725	268	21	method	method	VERB
ejpam-6725	268	22	absolute	absolute	ADJ
ejpam-6725	268	23	error	error	NOUN
ejpam-6725	268	24	results	result	NOUN
ejpam-6725	268	25	of	of	ADP
ejpam-6725	268	26	u1(t	u1(t	ADP
ejpam-6725	268	27	)	)	PUNCT
ejpam-6725	268	28	results	result	NOUN
ejpam-6725	268	29	of	of	ADP
ejpam-6725	268	30	u2(t	u2(t	NOUN
ejpam-6725	268	31	)	)	PUNCT
ejpam-6725	268	32	0	0	NUM
ejpam-6725	268	33	0	0	NUM
ejpam-6725	269	1	4.7073e	4.7073e	NOUN
ejpam-6725	269	2	−	−	NOUN
ejpam-6725	269	3	14	14	NUM
ejpam-6725	269	4	8.437524563517452e	8.437524563517452e	NUM
ejpam-6725	269	5	−	−	PROPN
ejpam-6725	269	6	01	01	NUM
ejpam-6725	270	1	9.7167e	9.7167e	NUM
ejpam-6725	270	2	−	−	NUM
ejpam-6725	270	3	13	13	NUM
ejpam-6725	270	4	0.1	0.1	NUM
ejpam-6725	270	5	0	0	NUM
ejpam-6725	271	1	2.0117e	2.0117e	NUM
ejpam-6725	271	2	−	−	NUM
ejpam-6725	271	3	13	13	NUM
ejpam-6725	271	4	4.583333669999856e	4.583333669999856e	NUM
ejpam-6725	272	1	−	−	NOUN
ejpam-6725	272	2	03	03	NUM
ejpam-6725	273	1	9.3969e	9.3969e	NUM
ejpam-6725	273	2	−	−	PROPN
ejpam-6725	273	3	13	13	NUM
ejpam-6725	273	4	0.2	0.2	NUM
ejpam-6725	273	5	0	0	NUM
ejpam-6725	273	6	3.5505e	3.5505e	NUM
ejpam-6725	273	7	−	−	PROPN
ejpam-6725	273	8	13	13	NUM
ejpam-6725	274	1	4.166662600000315e	4.166662600000315e	NOUN
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ejpam-6725	275	1	8.8507e	8.8507e	PROPN
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ejpam-6725	276	1	13	13	NUM
ejpam-6725	276	2	0.3	0.3	NUM
ejpam-6725	276	3	0	0	NUM
ejpam-6725	277	1	5.0915e	5.0915e	NOUN
ejpam-6725	277	2	−	−	NOUN
ejpam-6725	277	3	13	13	NUM
ejpam-6725	278	1	4.166661900000257e	4.166661900000257e	NUM
ejpam-6725	278	2	−	−	NUM
ejpam-6725	278	3	04	04	NUM
ejpam-6725	278	4	8.0802e	8.0802e	NUM
ejpam-6725	278	5	−	−	PROPN
ejpam-6725	278	6	13	13	NUM
ejpam-6725	278	7	0.4	0.4	NUM
ejpam-6725	278	8	0	0	NUM
ejpam-6725	279	1	6.6303e	6.6303e	NUM
ejpam-6725	279	2	−	−	PROPN
ejpam-6725	279	3	13	13	NUM
ejpam-6725	279	4	4.583333879999874e	4.583333879999874e	NUM
ejpam-6725	280	1	−	−	NOUN
ejpam-6725	280	2	03	03	NUM
ejpam-6725	281	1	7.0877e	7.0877e	NUM
ejpam-6725	281	2	−	−	PROPN
ejpam-6725	281	3	13	13	NUM
ejpam-6725	281	4	0.5	0.5	NUM
ejpam-6725	281	5	0	0	NUM
ejpam-6725	281	6	1.2488e	1.2488e	NUM
ejpam-6725	281	7	−	−	NUM
ejpam-6725	281	8	12	12	NUM
ejpam-6725	281	9	1.041666597500002e	1.041666597500002e	NUM
ejpam-6725	281	10	−	−	PROPN
ejpam-6725	281	11	02	02	NUM
ejpam-6725	281	12	2.4176e	2.4176e	NOUN
ejpam-6725	281	13	−	−	PROPN
ejpam-6725	281	14	12	12	NUM
ejpam-6725	281	15	0.6	0.6	NUM
ejpam-6725	281	16	0	0	NUM
ejpam-6725	282	1	1.4029e	1.4029e	NOUN
ejpam-6725	283	1	−	−	NOUN
ejpam-6725	283	2	12	12	NUM
ejpam-6725	284	1	4.583334199999900e	4.583334199999900e	NUM
ejpam-6725	285	1	−	−	NOUN
ejpam-6725	285	2	03	03	NUM
ejpam-6725	286	1	2.6037e	2.6037e	NUM
ejpam-6725	286	2	−	−	PROPN
ejpam-6725	286	3	12	12	NUM
ejpam-6725	286	4	0.7	0.7	NUM
ejpam-6725	286	5	0	0	NUM
ejpam-6725	287	1	1.5568e	1.5568e	NUM
ejpam-6725	287	2	−	−	PROPN
ejpam-6725	287	3	12	12	NUM
ejpam-6725	288	1	4.166656999999852e	4.166656999999852e	ADV
ejpam-6725	288	2	−	−	PROPN
ejpam-6725	288	3	04	04	NUM
ejpam-6725	289	1	2.812e	2.812e	NUM
ejpam-6725	290	1	−	−	NOUN
ejpam-6725	290	2	12	12	NUM
ejpam-6725	290	3	0.8	0.8	NUM
ejpam-6725	290	4	0	0	NUM
ejpam-6725	291	1	1.7109e	1.7109e	NUM
ejpam-6725	291	2	−	−	NOUN
ejpam-6725	291	3	12	12	NUM
ejpam-6725	291	4	4.166658000002155e	4.166658000002155e	NUM
ejpam-6725	291	5	−	−	NOUN
ejpam-6725	291	6	04	04	NUM
ejpam-6725	292	1	3.0429e	3.0429e	NUM
ejpam-6725	293	1	−	−	NUM
ejpam-6725	293	2	12	12	NUM
ejpam-6725	294	1	0.9	0.9	NUM
ejpam-6725	294	2	0	0	NUM
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ejpam-6725	294	4	−	−	PROPN
ejpam-6725	294	5	12	12	NUM
ejpam-6725	294	6	4.583334299999686e	4.583334299999686e	NUM
ejpam-6725	295	1	−	−	NOUN
ejpam-6725	295	2	03	03	NUM
ejpam-6725	296	1	3.2967e	3.2967e	NUM
ejpam-6725	296	2	−	−	PROPN
ejpam-6725	296	3	12	12	NUM
ejpam-6725	296	4	m.	m.	NOUN
ejpam-6725	296	5	a.	a.	PROPN
ejpam-6725	296	6	ramadan	ramadan	PROPN
ejpam-6725	296	7	et	et	PROPN
ejpam-6725	296	8	al	al	PROPN
ejpam-6725	296	9	.	.	PUNCT
ejpam-6725	296	10	/	/	SYM
ejpam-6725	296	11	eur	eur	PROPN
ejpam-6725	296	12	.	.	PUNCT
ejpam-6725	297	1	j.	j.	PROPN
ejpam-6725	297	2	pure	pure	PROPN
ejpam-6725	297	3	appl	appl	PROPN
ejpam-6725	297	4	.	.	PROPN
ejpam-6725	297	5	math	math	PROPN
ejpam-6725	297	6	,	,	PUNCT
ejpam-6725	297	7	18	18	NUM
ejpam-6725	297	8	(	(	PUNCT
ejpam-6725	297	9	4	4	NUM
ejpam-6725	297	10	)	)	PUNCT
ejpam-6725	297	11	(	(	PUNCT
ejpam-6725	297	12	2025	2025	NUM
ejpam-6725	297	13	)	)	PUNCT
ejpam-6725	297	14	,	,	PUNCT
ejpam-6725	297	15	6725	6725	NUM
ejpam-6725	297	16	11	11	NUM
ejpam-6725	297	17	of	of	ADP
ejpam-6725	297	18	18	18	NUM
ejpam-6725	297	19	table	table	NOUN
ejpam-6725	297	20	4	4	NUM
ejpam-6725	297	21	:	:	PUNCT
ejpam-6725	297	22	comparison	comparison	NOUN
ejpam-6725	297	23	between	between	ADP
ejpam-6725	297	24	absolute	absolute	ADJ
ejpam-6725	297	25	errors	error	NOUN
ejpam-6725	297	26	for	for	ADP
ejpam-6725	297	27	results	result	NOUN
ejpam-6725	297	28	of	of	ADP
ejpam-6725	297	29	example	example	NOUN
ejpam-6725	297	30	1	1	NUM
ejpam-6725	297	31	for	for	ADP
ejpam-6725	297	32	our	our	PRON
ejpam-6725	297	33	presented	present	VERB
ejpam-6725	297	34	method	method	NOUN
ejpam-6725	297	35	with	with	ADP
ejpam-6725	297	36	m	m	PROPN
ejpam-6725	297	37	=	=	SYM
ejpam-6725	297	38	3	3	NUM
ejpam-6725	297	39	,	,	PUNCT
ejpam-6725	297	40	k	k	NOUN
ejpam-6725	298	1	=	=	SYM
ejpam-6725	298	2	2	2	NUM
ejpam-6725	298	3	and	and	CCONJ
ejpam-6725	298	4	presented	present	VERB
ejpam-6725	298	5	method	method	NOUN
ejpam-6725	298	6	in	in	ADP
ejpam-6725	298	7	[	[	X
ejpam-6725	298	8	34	34	NUM
ejpam-6725	298	9	]	]	PUNCT
ejpam-6725	298	10	.	.	PUNCT
ejpam-6725	299	1	t	t	PROPN
ejpam-6725	299	2	method	method	PROPN
ejpam-6725	299	3	in[34	in[34	PROPN
ejpam-6725	299	4	]	]	PUNCT
ejpam-6725	299	5	absolute	absolute	ADJ
ejpam-6725	299	6	error	error	NOUN
ejpam-6725	299	7	presented	present	VERB
ejpam-6725	299	8	method	method	VERB
ejpam-6725	299	9	absolute	absolute	ADJ
ejpam-6725	299	10	error	error	NOUN
ejpam-6725	299	11	method	method	NOUN
ejpam-6725	299	12	in[34	in[34	PROPN
ejpam-6725	299	13	]	]	PUNCT
ejpam-6725	299	14	absolute	absolute	ADJ
ejpam-6725	299	15	error	error	NOUN
ejpam-6725	299	16	presented	present	VERB
ejpam-6725	299	17	method	method	VERB
ejpam-6725	299	18	absolute	absolute	ADJ
ejpam-6725	299	19	error	error	NOUN
ejpam-6725	299	20	results	result	NOUN
ejpam-6725	299	21	of	of	ADP
ejpam-6725	299	22	u1(t	u1(t	ADP
ejpam-6725	299	23	)	)	PUNCT
ejpam-6725	299	24	results	result	NOUN
ejpam-6725	299	25	of	of	ADP
ejpam-6725	299	26	u2(t	u2(t	NOUN
ejpam-6725	299	27	)	)	PUNCT
ejpam-6725	299	28	0	0	NUM
ejpam-6725	300	1	4.7073e	4.7073e	NUM
ejpam-6725	301	1	−	−	NOUN
ejpam-6725	301	2	14	14	NUM
ejpam-6725	301	3	4.7073e	4.7073e	NOUN
ejpam-6725	301	4	−	−	PROPN
ejpam-6725	301	5	14	14	NUM
ejpam-6725	301	6	9.7167e	9.7167e	NUM
ejpam-6725	301	7	−	−	NUM
ejpam-6725	301	8	13	13	NUM
ejpam-6725	301	9	9.7167e	9.7167e	NUM
ejpam-6725	301	10	−	−	NUM
ejpam-6725	301	11	13	13	NUM
ejpam-6725	301	12	0.1	0.1	NUM
ejpam-6725	301	13	2.0117e	2.0117e	NUM
ejpam-6725	301	14	−	−	NUM
ejpam-6725	301	15	13	13	NUM
ejpam-6725	301	16	2.0117e	2.0117e	NUM
ejpam-6725	301	17	−	−	PROPN
ejpam-6725	301	18	13	13	NUM
ejpam-6725	301	19	9.3969e	9.3969e	NUM
ejpam-6725	301	20	−	−	PROPN
ejpam-6725	301	21	13	13	NUM
ejpam-6725	301	22	9.3969e	9.3969e	NUM
ejpam-6725	301	23	−	−	PROPN
ejpam-6725	301	24	13	13	NUM
ejpam-6725	301	25	0.2	0.2	NUM
ejpam-6725	301	26	3.5505e	3.5505e	NUM
ejpam-6725	301	27	−	−	PROPN
ejpam-6725	301	28	13	13	NUM
ejpam-6725	301	29	3.5505e	3.5505e	NUM
ejpam-6725	301	30	−	−	PROPN
ejpam-6725	301	31	13	13	NUM
ejpam-6725	302	1	8.8507e	8.8507e	PROPN
ejpam-6725	302	2	−	−	PROPN
ejpam-6725	302	3	13	13	NUM
ejpam-6725	302	4	8.8507e	8.8507e	PROPN
ejpam-6725	302	5	−	−	PROPN
ejpam-6725	303	1	13	13	NUM
ejpam-6725	303	2	0.3	0.3	NUM
ejpam-6725	303	3	5.0915e	5.0915e	NUM
ejpam-6725	303	4	−	−	NOUN
ejpam-6725	303	5	13	13	NUM
ejpam-6725	303	6	5.0915e	5.0915e	NOUN
ejpam-6725	303	7	−	−	NOUN
ejpam-6725	303	8	13	13	NUM
ejpam-6725	303	9	8.0802e	8.0802e	NUM
ejpam-6725	303	10	−	−	PROPN
ejpam-6725	303	11	13	13	NUM
ejpam-6725	303	12	8.0802e	8.0802e	NUM
ejpam-6725	303	13	−	−	PROPN
ejpam-6725	303	14	13	13	NUM
ejpam-6725	303	15	0.4	0.4	NUM
ejpam-6725	303	16	6.6303e	6.6303e	NUM
ejpam-6725	303	17	−	−	PROPN
ejpam-6725	303	18	13	13	NUM
ejpam-6725	303	19	6.6303e	6.6303e	NOUN
ejpam-6725	303	20	−	−	PROPN
ejpam-6725	303	21	13	13	NUM
ejpam-6725	303	22	7.0877e	7.0877e	NUM
ejpam-6725	303	23	−	−	PROPN
ejpam-6725	303	24	13	13	NUM
ejpam-6725	304	1	7.0877e	7.0877e	NUM
ejpam-6725	304	2	−	−	PROPN
ejpam-6725	304	3	13	13	NUM
ejpam-6725	304	4	0.5	0.5	NUM
ejpam-6725	304	5	1.2488e	1.2488e	NUM
ejpam-6725	304	6	−	−	PROPN
ejpam-6725	304	7	12	12	NUM
ejpam-6725	305	1	1.2488e	1.2488e	NUM
ejpam-6725	305	2	−	−	NUM
ejpam-6725	305	3	12	12	NUM
ejpam-6725	305	4	2.4176e	2.4176e	NOUN
ejpam-6725	305	5	−	−	NOUN
ejpam-6725	305	6	12	12	NUM
ejpam-6725	305	7	2.4176e	2.4176e	NOUN
ejpam-6725	305	8	−	−	NOUN
ejpam-6725	305	9	12	12	NUM
ejpam-6725	305	10	0.6	0.6	NUM
ejpam-6725	305	11	1.4029e	1.4029e	NOUN
ejpam-6725	305	12	−	−	NUM
ejpam-6725	305	13	12	12	NUM
ejpam-6725	306	1	1.4029e	1.4029e	NOUN
ejpam-6725	307	1	−	−	NUM
ejpam-6725	307	2	12	12	NUM
ejpam-6725	308	1	2.6037e	2.6037e	NUM
ejpam-6725	308	2	−	−	PROPN
ejpam-6725	308	3	12	12	NUM
ejpam-6725	309	1	2.6037e	2.6037e	NUM
ejpam-6725	309	2	−	−	PROPN
ejpam-6725	309	3	12	12	NUM
ejpam-6725	309	4	0.7	0.7	NUM
ejpam-6725	310	1	1.5568e	1.5568e	NUM
ejpam-6725	310	2	−	−	PROPN
ejpam-6725	310	3	12	12	NUM
ejpam-6725	311	1	1.5568e	1.5568e	NUM
ejpam-6725	311	2	−	−	PROPN
ejpam-6725	311	3	12	12	NUM
ejpam-6725	311	4	2.812e	2.812e	NUM
ejpam-6725	311	5	−	−	NUM
ejpam-6725	311	6	12	12	NUM
ejpam-6725	311	7	2.812e	2.812e	NUM
ejpam-6725	312	1	−	−	NOUN
ejpam-6725	312	2	12	12	NUM
ejpam-6725	313	1	0.8	0.8	NUM
ejpam-6725	313	2	1.7109e	1.7109e	NUM
ejpam-6725	313	3	−	−	NOUN
ejpam-6725	313	4	12	12	NUM
ejpam-6725	313	5	1.7109e	1.7109e	PROPN
ejpam-6725	313	6	−	−	NOUN
ejpam-6725	313	7	12	12	NUM
ejpam-6725	313	8	3.0429e	3.0429e	NUM
ejpam-6725	313	9	−	−	NUM
ejpam-6725	313	10	12	12	NUM
ejpam-6725	314	1	3.0429e	3.0429e	NUM
ejpam-6725	314	2	−	−	NUM
ejpam-6725	315	1	12	12	NUM
ejpam-6725	315	2	0.9	0.9	NUM
ejpam-6725	315	3	1.8647e	1.8647e	NUM
ejpam-6725	315	4	−	−	PROPN
ejpam-6725	315	5	12	12	NUM
ejpam-6725	315	6	1.8647e	1.8647e	NUM
ejpam-6725	315	7	−	−	NOUN
ejpam-6725	315	8	12	12	NUM
ejpam-6725	315	9	3.2967e	3.2967e	NUM
ejpam-6725	315	10	−	−	PROPN
ejpam-6725	315	11	12	12	NUM
ejpam-6725	315	12	3.2967e	3.2967e	NUM
ejpam-6725	315	13	−	−	NOUN
ejpam-6725	315	14	12	12	NUM
ejpam-6725	315	15	with	with	ADP
ejpam-6725	315	16	exact	exact	ADJ
ejpam-6725	315	17	solution	solution	NOUN
ejpam-6725	315	18	(	(	PUNCT
ejpam-6725	315	19	u1(t	u1(t	PROPN
ejpam-6725	315	20	)	)	PUNCT
ejpam-6725	315	21	,	,	PUNCT
ejpam-6725	315	22	u2(t	u2(t	NOUN
ejpam-6725	315	23	)	)	PUNCT
ejpam-6725	315	24	)	)	PUNCT
ejpam-6725	316	1	=	=	PRON
ejpam-6725	316	2	(	(	PUNCT
ejpam-6725	316	3	t	t	PROPN
ejpam-6725	316	4	,	,	PUNCT
ejpam-6725	316	5	t2	t2	PROPN
ejpam-6725	316	6	)	)	PUNCT
ejpam-6725	316	7	.	.	PUNCT
ejpam-6725	317	1	this	this	DET
ejpam-6725	317	2	example	example	NOUN
ejpam-6725	317	3	has	have	AUX
ejpam-6725	317	4	been	be	AUX
ejpam-6725	317	5	addressed	address	VERB
ejpam-6725	317	6	by	by	ADP
ejpam-6725	317	7	several	several	ADJ
ejpam-6725	317	8	researchers	researcher	NOUN
ejpam-6725	317	9	.	.	PUNCT
ejpam-6725	318	1	initially	initially	ADV
ejpam-6725	318	2	,	,	PUNCT
ejpam-6725	318	3	ramadan	ramadan	PROPN
ejpam-6725	318	4	et	et	PROPN
ejpam-6725	318	5	al	al	PROPN
ejpam-6725	318	6	.	.	PUNCT
ejpam-6725	319	1	[	[	X
ejpam-6725	319	2	33	33	NUM
ejpam-6725	319	3	]	]	PUNCT
ejpam-6725	319	4	tackled	tackle	VERB
ejpam-6725	319	5	it	it	PRON
ejpam-6725	319	6	using	use	VERB
ejpam-6725	319	7	the	the	DET
ejpam-6725	319	8	triangular	triangular	NOUN
ejpam-6725	319	9	basis	basis	NOUN
ejpam-6725	319	10	functions	function	NOUN
ejpam-6725	319	11	method	method	VERB
ejpam-6725	319	12	with	with	ADP
ejpam-6725	319	13	m	m	PROPN
ejpam-6725	319	14	=	=	SYM
ejpam-6725	319	15	32	32	NUM
ejpam-6725	319	16	and	and	CCONJ
ejpam-6725	319	17	m	m	VERB
ejpam-6725	319	18	=	=	NOUN
ejpam-6725	319	19	10	10	NUM
ejpam-6725	319	20	using	use	VERB
ejpam-6725	319	21	triangular	triangular	NOUN
ejpam-6725	319	22	basis	basis	NOUN
ejpam-6725	319	23	functions	function	NOUN
ejpam-6725	319	24	,	,	PUNCT
ejpam-6725	319	25	also	also	ADV
ejpam-6725	319	26	authors	author	NOUN
ejpam-6725	319	27	in	in	ADP
ejpam-6725	319	28	[	[	X
ejpam-6725	319	29	25	25	NUM
ejpam-6725	319	30	]	]	PUNCT
ejpam-6725	319	31	analyzed	analyze	VERB
ejpam-6725	319	32	this	this	DET
ejpam-6725	319	33	problem	problem	NOUN
ejpam-6725	319	34	using	use	VERB
ejpam-6725	319	35	triangular	triangular	NOUN
ejpam-6725	319	36	functions	function	NOUN
ejpam-6725	319	37	method	method	NOUN
ejpam-6725	319	38	,	,	PUNCT
ejpam-6725	319	39	besides	besides	ADV
ejpam-6725	319	40	,	,	PUNCT
ejpam-6725	319	41	e.	e.	PROPN
ejpam-6725	319	42	babolian	babolian	PROPN
ejpam-6725	319	43	et	et	PROPN
ejpam-6725	319	44	al	al	PROPN
ejpam-6725	319	45	.	.	PUNCT
ejpam-6725	320	1	[	[	X
ejpam-6725	320	2	12	12	NUM
ejpam-6725	320	3	]	]	PUNCT
ejpam-6725	320	4	investigated	investigate	VERB
ejpam-6725	320	5	the	the	DET
ejpam-6725	320	6	same	same	ADJ
ejpam-6725	320	7	problem	problem	NOUN
ejpam-6725	320	8	using	use	VERB
ejpam-6725	320	9	adomian	adomian	NOUN
ejpam-6725	320	10	decomposition	decomposition	NOUN
ejpam-6725	320	11	method	method	NOUN
ejpam-6725	320	12	.	.	PUNCT
ejpam-6725	321	1	by	by	ADP
ejpam-6725	321	2	taking	take	VERB
ejpam-6725	321	3	m	m	PROPN
ejpam-6725	321	4	=	=	SYM
ejpam-6725	321	5	3	3	NUM
ejpam-6725	321	6	,	,	PUNCT
ejpam-6725	321	7	k	k	NOUN
ejpam-6725	321	8	=	=	SYM
ejpam-6725	321	9	2	2	NUM
ejpam-6725	321	10	,	,	PUNCT
ejpam-6725	321	11	applying	apply	VERB
ejpam-6725	321	12	our	our	PRON
ejpam-6725	321	13	proposed	propose	VERB
ejpam-6725	321	14	method	method	NOUN
ejpam-6725	321	15	(	(	PUNCT
ejpam-6725	321	16	lwm	lwm	NOUN
ejpam-6725	321	17	)	)	PUNCT
ejpam-6725	321	18	,	,	PUNCT
ejpam-6725	321	19	the	the	DET
ejpam-6725	321	20	unknown	unknown	ADJ
ejpam-6725	321	21	functions	function	NOUN
ejpam-6725	321	22	u1(t	u1(t	ADP
ejpam-6725	321	23	)	)	PUNCT
ejpam-6725	321	24	,	,	PUNCT
ejpam-6725	321	25	u2(t	u2(t	PROPN
ejpam-6725	321	26	)	)	PUNCT
ejpam-6725	321	27	can	can	AUX
ejpam-6725	321	28	be	be	AUX
ejpam-6725	321	29	expanded	expand	VERB
ejpam-6725	321	30	as	as	ADP
ejpam-6725	321	31	u1(t	u1(t	PROPN
ejpam-6725	321	32	)	)	PUNCT
ejpam-6725	322	1	≈	≈	PROPN
ejpam-6725	322	2	ct	ct	NUM
ejpam-6725	322	3	1	1	NUM
ejpam-6725	322	4	ψ(t	ψ(t	PROPN
ejpam-6725	322	5	)	)	PUNCT
ejpam-6725	322	6	,	,	PUNCT
ejpam-6725	322	7	u2(t	u2(t	NOUN
ejpam-6725	322	8	)	)	PUNCT
ejpam-6725	322	9	≈	≈	PROPN
ejpam-6725	322	10	ct	ct	NOUN
ejpam-6725	322	11	2	2	NUM
ejpam-6725	322	12	ψ(t	ψ(t	PROPN
ejpam-6725	322	13	)	)	PUNCT
ejpam-6725	322	14	,	,	PUNCT
ejpam-6725	322	15	(	(	PUNCT
ejpam-6725	322	16	4.8	4.8	NUM
ejpam-6725	322	17	)	)	PUNCT
ejpam-6725	322	18	where	where	SCONJ
ejpam-6725	322	19	c1	c1	PROPN
ejpam-6725	322	20	,	,	PUNCT
ejpam-6725	322	21	c2	c2	PROPN
ejpam-6725	322	22	are	be	AUX
ejpam-6725	322	23	the	the	DET
ejpam-6725	322	24	unknown	unknown	ADJ
ejpam-6725	322	25	2k−1m	2k−1m	NOUN
ejpam-6725	322	26	,	,	PUNCT
ejpam-6725	322	27	m	m	VERB
ejpam-6725	322	28	=	=	SYM
ejpam-6725	322	29	3	3	NUM
ejpam-6725	322	30	,	,	PUNCT
ejpam-6725	322	31	k	k	NOUN
ejpam-6725	322	32	=	=	SYM
ejpam-6725	322	33	2	2	NUM
ejpam-6725	322	34	vectors	vector	NOUN
ejpam-6725	322	35	with	with	ADP
ejpam-6725	322	36	c1	c1	PROPN
ejpam-6725	322	37	=	=	PUNCT
ejpam-6725	322	38	[	[	PUNCT
ejpam-6725	322	39	c1,0	c1,0	PROPN
ejpam-6725	322	40	c1,1	c1,1	PROPN
ejpam-6725	322	41	c1,2	c1,2	PROPN
ejpam-6725	322	42	c2,0	c2,0	PROPN
ejpam-6725	322	43	c2,1	c2,1	PROPN
ejpam-6725	322	44	c2,2	c2,2	NOUN
ejpam-6725	322	45	]	]	X
ejpam-6725	322	46	t	t	PROPN
ejpam-6725	322	47	,	,	PUNCT
ejpam-6725	322	48	c2	c2	PROPN
ejpam-6725	322	49	=	=	PUNCT
ejpam-6725	322	50	[	[	PUNCT
ejpam-6725	322	51	c′1,0	c′1,0	VERB
ejpam-6725	322	52	c′1,1	c′1,1	ADP
ejpam-6725	322	53	c′1,2	c′1,2	ADJ
ejpam-6725	322	54	c′2,0	c′2,0	PUNCT
ejpam-6725	322	55	c′2,1	c′2,1	PROPN
ejpam-6725	322	56	c′2,2	c′2,2	PROPN
ejpam-6725	322	57	]	]	X
ejpam-6725	322	58	t	t	PROPN
ejpam-6725	322	59	and	and	CCONJ
ejpam-6725	322	60	ψ(t	ψ(t	PROPN
ejpam-6725	322	61	)	)	PUNCT
ejpam-6725	322	62	is	be	AUX
ejpam-6725	322	63	legendre	legendre	PROPN
ejpam-6725	322	64	wavelets	wavelet	NOUN
ejpam-6725	322	65	for	for	ADP
ejpam-6725	322	66	m	m	PROPN
ejpam-6725	322	67	=	=	SYM
ejpam-6725	322	68	3	3	NUM
ejpam-6725	322	69	,	,	PUNCT
ejpam-6725	322	70	k	k	NOUN
ejpam-6725	322	71	=	=	SYM
ejpam-6725	322	72	2	2	NUM
ejpam-6725	322	73	:	:	PUNCT
ejpam-6725	322	74	ψ(t	ψ(t	PROPN
ejpam-6725	322	75	)	)	PUNCT
ejpam-6725	322	76	=	=	SYM
ejpam-6725	322	77			NUM
ejpam-6725	322	78			PUNCT
ejpam-6725	322	79	ψ1,0	ψ1,0	NOUN
ejpam-6725	322	80	=	=	PUNCT
ejpam-6725	322	81	√	√	ADP
ejpam-6725	322	82	2	2	NUM
ejpam-6725	322	83	ψ1,1	ψ1,1	NOUN
ejpam-6725	322	84	=	=	PUNCT
ejpam-6725	323	1	√	√	ADJ
ejpam-6725	324	1	6(4t−	6(4t−	NUM
ejpam-6725	324	2	1	1	NUM
ejpam-6725	324	3	)	)	PUNCT
ejpam-6725	324	4	ψ1,2	ψ1,2	NOUN
ejpam-6725	324	5	=	=	PUNCT
ejpam-6725	325	1	√	√	NUM
ejpam-6725	325	2	10	10	NUM
ejpam-6725	325	3	(	(	PUNCT
ejpam-6725	325	4	3	3	NUM
ejpam-6725	325	5	2(4t−	2(4t−	NUM
ejpam-6725	325	6	1)2	1)2	NUM
ejpam-6725	325	7	−	−	NOUN
ejpam-6725	325	8	1	1	NUM
ejpam-6725	325	9	2	2	NUM
ejpam-6725	325	10	)	)	PUNCT
ejpam-6725	326	1			NOUN
ejpam-6725	326	2	,	,	PUNCT
ejpam-6725	326	3	0	0	NUM
ejpam-6725	326	4	≤	≤	NUM
ejpam-6725	326	5	t	t	NOUN
ejpam-6725	326	6	<	<	X
ejpam-6725	326	7	1	1	NUM
ejpam-6725	326	8	2	2	NUM
ejpam-6725	326	9	,	,	PUNCT
ejpam-6725	326	10			PUNCT
ejpam-6725	326	11	ψ2,0	ψ2,0	NOUN
ejpam-6725	326	12	=	=	SYM
ejpam-6725	326	13	√	√	ADP
ejpam-6725	326	14	2	2	NUM
ejpam-6725	326	15	ψ2,1	ψ2,1	NOUN
ejpam-6725	326	16	=	=	PUNCT
ejpam-6725	326	17	√	√	NOUN
ejpam-6725	326	18	6(4t−	6(4t−	NUM
ejpam-6725	326	19	3	3	NUM
ejpam-6725	326	20	)	)	PUNCT
ejpam-6725	326	21	ψ2,2	ψ2,2	NOUN
ejpam-6725	327	1	=	=	NOUN
ejpam-6725	328	1	√	√	NUM
ejpam-6725	328	2	10	10	NUM
ejpam-6725	328	3	(	(	PUNCT
ejpam-6725	328	4	3	3	NUM
ejpam-6725	328	5	2(4t−	2(4t−	NUM
ejpam-6725	328	6	3)2	3)2	NUM
ejpam-6725	328	7	−	−	NUM
ejpam-6725	328	8	1	1	NUM
ejpam-6725	328	9	2	2	NUM
ejpam-6725	328	10	)	)	PUNCT
ejpam-6725	328	11			NOUN
ejpam-6725	328	12	,	,	PUNCT
ejpam-6725	328	13	12	12	NUM
ejpam-6725	328	14	≤	≤	NOUN
ejpam-6725	328	15	t	t	X
ejpam-6725	328	16	<	<	X
ejpam-6725	328	17	1	1	NUM
ejpam-6725	328	18	.	.	PUNCT
ejpam-6725	329	1	likewise	likewise	ADV
ejpam-6725	329	2	,	,	PUNCT
ejpam-6725	329	3	k1(x	k1(x	PROPN
ejpam-6725	329	4	,	,	PUNCT
ejpam-6725	329	5	t	t	PROPN
ejpam-6725	329	6	)	)	PUNCT
ejpam-6725	329	7	=	=	SYM
ejpam-6725	330	1	1	1	NUM
ejpam-6725	330	2	3	3	NUM
ejpam-6725	330	3	,	,	PUNCT
ejpam-6725	330	4	k2(x	k2(x	PROPN
ejpam-6725	330	5	,	,	PUNCT
ejpam-6725	330	6	t	t	PROPN
ejpam-6725	330	7	)	)	PUNCT
ejpam-6725	330	8	=	=	SYM
ejpam-6725	330	9	1	1	NUM
ejpam-6725	330	10	3	3	NUM
ejpam-6725	330	11	,	,	PUNCT
ejpam-6725	330	12	k3(x	k3(x	PROPN
ejpam-6725	330	13	,	,	PUNCT
ejpam-6725	330	14	t	t	PROPN
ejpam-6725	330	15	)	)	PUNCT
ejpam-6725	330	16	=	=	SYM
ejpam-6725	330	17	1	1	NUM
ejpam-6725	330	18	2	2	NUM
ejpam-6725	330	19	,	,	PUNCT
ejpam-6725	330	20	k4(x	k4(x	PROPN
ejpam-6725	330	21	,	,	PUNCT
ejpam-6725	330	22	t	t	PROPN
ejpam-6725	330	23	)	)	PUNCT
ejpam-6725	330	24	=	=	SYM
ejpam-6725	330	25	1	1	NUM
ejpam-6725	330	26	2	2	NUM
ejpam-6725	330	27	,	,	PUNCT
ejpam-6725	330	28	f(t	f(t	PROPN
ejpam-6725	330	29	)	)	PUNCT
ejpam-6725	330	30	=	=	SYM
ejpam-6725	331	1	t−	t−	PROPN
ejpam-6725	331	2	5	5	NUM
ejpam-6725	331	3	18	18	NUM
ejpam-6725	331	4	g(t	g(t	PROPN
ejpam-6725	331	5	)	)	PUNCT
ejpam-6725	331	6	=	=	SYM
ejpam-6725	331	7	t2	t2	NOUN
ejpam-6725	331	8	−	−	PROPN
ejpam-6725	331	9	5	5	NUM
ejpam-6725	331	10	12	12	NUM
ejpam-6725	331	11	,	,	PUNCT
ejpam-6725	331	12	are	be	AUX
ejpam-6725	331	13	also	also	ADV
ejpam-6725	331	14	expanded	expand	VERB
ejpam-6725	331	15	into	into	ADP
ejpam-6725	331	16	the	the	DET
ejpam-6725	331	17	lwm	lwm	NOUN
ejpam-6725	331	18	as	as	ADP
ejpam-6725	331	19	:	:	PUNCT
ejpam-6725	331	20	k1(x	k1(x	PROPN
ejpam-6725	331	21	,	,	PUNCT
ejpam-6725	331	22	t	t	PROPN
ejpam-6725	331	23	)	)	PUNCT
ejpam-6725	332	1	≈	≈	PROPN
ejpam-6725	332	2	ψt	ψt	NUM
ejpam-6725	332	3	(	(	PUNCT
ejpam-6725	332	4	x)k1ψ(t	x)k1ψ(t	PROPN
ejpam-6725	332	5	)	)	PUNCT
ejpam-6725	332	6	,	,	PUNCT
ejpam-6725	332	7	k2(x	k2(x	PROPN
ejpam-6725	332	8	,	,	PUNCT
ejpam-6725	332	9	t	t	PROPN
ejpam-6725	332	10	)	)	PUNCT
ejpam-6725	333	1	≈	≈	PROPN
ejpam-6725	333	2	ψt	ψt	NUM
ejpam-6725	333	3	(	(	PUNCT
ejpam-6725	333	4	x)k2ψ(t	x)k2ψ(t	PROPN
ejpam-6725	333	5	)	)	PUNCT
ejpam-6725	333	6	,	,	PUNCT
ejpam-6725	333	7	k3(x	k3(x	PROPN
ejpam-6725	333	8	,	,	PUNCT
ejpam-6725	333	9	t	t	PROPN
ejpam-6725	333	10	)	)	PUNCT
ejpam-6725	334	1	≈	≈	PROPN
ejpam-6725	334	2	ψt	ψt	NOUN
ejpam-6725	334	3	(	(	PUNCT
ejpam-6725	334	4	x)k3ψ(t	x)k3ψ(t	PROPN
ejpam-6725	334	5	)	)	PUNCT
ejpam-6725	334	6	,	,	PUNCT
ejpam-6725	334	7	k4(x	k4(x	PROPN
ejpam-6725	334	8	,	,	PUNCT
ejpam-6725	334	9	t	t	PROPN
ejpam-6725	334	10	)	)	PUNCT
ejpam-6725	335	1	≈	≈	PROPN
ejpam-6725	335	2	ψt	ψt	NOUN
ejpam-6725	335	3	(	(	PUNCT
ejpam-6725	335	4	x)k4ψ(t	x)k4ψ(t	PROPN
ejpam-6725	335	5	)	)	PUNCT
ejpam-6725	335	6	,	,	PUNCT
ejpam-6725	335	7	f(t	f(t	PROPN
ejpam-6725	335	8	)	)	PUNCT
ejpam-6725	336	1	≈	≈	PROPN
ejpam-6725	336	2	f	f	PROPN
ejpam-6725	336	3	tψ(t	tψ(t	NUM
ejpam-6725	336	4	)	)	PUNCT
ejpam-6725	336	5	,	,	PUNCT
ejpam-6725	336	6	g(t	g(t	PROPN
ejpam-6725	336	7	)	)	PUNCT
ejpam-6725	337	1	≈	≈	PROPN
ejpam-6725	337	2	gtψ(t	gtψ(t	PROPN
ejpam-6725	337	3	)	)	PUNCT
ejpam-6725	337	4	.	.	PUNCT
ejpam-6725	338	1	(	(	PUNCT
ejpam-6725	338	2	4.9	4.9	NUM
ejpam-6725	338	3	)	)	PUNCT
ejpam-6725	338	4	after	after	ADP
ejpam-6725	338	5	substituting	substitute	VERB
ejpam-6725	338	6	(	(	PUNCT
ejpam-6725	338	7	4.8	4.8	NUM
ejpam-6725	338	8	)	)	PUNCT
ejpam-6725	338	9	,	,	PUNCT
ejpam-6725	338	10	(	(	PUNCT
ejpam-6725	338	11	4.9	4.9	NUM
ejpam-6725	338	12	)	)	PUNCT
ejpam-6725	338	13	into	into	ADP
ejpam-6725	338	14	(	(	PUNCT
ejpam-6725	338	15	4.7	4.7	NUM
ejpam-6725	338	16	)	)	PUNCT
ejpam-6725	338	17	we	we	PRON
ejpam-6725	338	18	get	get	VERB
ejpam-6725	338	19	,	,	PUNCT
ejpam-6725	338	20	ψt	ψt	NOUN
ejpam-6725	338	21	(	(	PUNCT
ejpam-6725	338	22	t)c1	t)c1	PROPN
ejpam-6725	338	23	=	=	SYM
ejpam-6725	338	24	f	f	PROPN
ejpam-6725	338	25	tψ(t	tψ(t	X
ejpam-6725	338	26	)	)	PUNCT
ejpam-6725	339	1	+	+	CCONJ
ejpam-6725	339	2	[	[	PUNCT
ejpam-6725	339	3	ψt	ψt	NUM
ejpam-6725	339	4	(	(	PUNCT
ejpam-6725	339	5	t)k1c1	t)k1c1	NOUN
ejpam-6725	339	6	+	+	X
ejpam-6725	339	7	ψt	ψt	ADJ
ejpam-6725	339	8	(	(	PUNCT
ejpam-6725	339	9	t)k2c2	t)k2c2	NUM
ejpam-6725	339	10	]	]	PUNCT
ejpam-6725	339	11	,	,	PUNCT
ejpam-6725	339	12	ψt	ψt	NUM
ejpam-6725	339	13	(	(	PUNCT
ejpam-6725	339	14	t)c2	t)c2	PROPN
ejpam-6725	339	15	=	=	SYM
ejpam-6725	339	16	gtψ(t	gtψ(t	PROPN
ejpam-6725	339	17	)	)	PUNCT
ejpam-6725	339	18	+	+	CCONJ
ejpam-6725	339	19	[	[	PUNCT
ejpam-6725	339	20	ψt	ψt	X
ejpam-6725	339	21	(	(	PUNCT
ejpam-6725	339	22	t)k3c1	t)k3c1	NOUN
ejpam-6725	339	23	+	+	NOUN
ejpam-6725	339	24	ψt	ψt	VERB
ejpam-6725	339	25	(	(	PUNCT
ejpam-6725	339	26	t)k4c2	t)k4c2	X
ejpam-6725	339	27	]	]	PUNCT
ejpam-6725	339	28	,	,	PUNCT
ejpam-6725	339	29	(	(	PUNCT
ejpam-6725	339	30	4.10	4.10	NUM
ejpam-6725	339	31	)	)	PUNCT
ejpam-6725	339	32	which	which	PRON
ejpam-6725	339	33	can	can	AUX
ejpam-6725	339	34	be	be	AUX
ejpam-6725	339	35	written	write	VERB
ejpam-6725	339	36	in	in	ADP
ejpam-6725	339	37	the	the	DET
ejpam-6725	339	38	coupled	couple	VERB
ejpam-6725	339	39	system	system	NOUN
ejpam-6725	339	40	of	of	ADP
ejpam-6725	339	41	matrix	matrix	NOUN
ejpam-6725	339	42	equations	equation	NOUN
ejpam-6725	339	43	,	,	PUNCT
ejpam-6725	339	44	(	(	PUNCT
ejpam-6725	339	45	i	i	PRON
ejpam-6725	339	46	−k1)c1	−k1)c1	VERB
ejpam-6725	339	47	−k2c2	−k2c2	PROPN
ejpam-6725	339	48	=	=	SYM
ejpam-6725	339	49	f	f	PROPN
ejpam-6725	339	50	and	and	CCONJ
ejpam-6725	339	51	(	(	PUNCT
ejpam-6725	339	52	i	i	PRON
ejpam-6725	339	53	−k3)c2	−k3)c2	VERB
ejpam-6725	339	54	−k4c1	−k4c1	VERB
ejpam-6725	339	55	=	=	PUNCT
ejpam-6725	339	56	g.	g.	PROPN
ejpam-6725	339	57	(	(	PUNCT
ejpam-6725	339	58	4.11	4.11	NUM
ejpam-6725	339	59	)	)	PUNCT
ejpam-6725	339	60	m.	m.	NOUN
ejpam-6725	339	61	a.	a.	PROPN
ejpam-6725	339	62	ramadan	ramadan	PROPN
ejpam-6725	339	63	et	et	PROPN
ejpam-6725	339	64	al	al	PROPN
ejpam-6725	339	65	.	.	PUNCT
ejpam-6725	339	66	/	/	SYM
ejpam-6725	339	67	eur	eur	PROPN
ejpam-6725	339	68	.	.	PUNCT
ejpam-6725	340	1	j.	j.	PROPN
ejpam-6725	340	2	pure	pure	PROPN
ejpam-6725	340	3	appl	appl	PROPN
ejpam-6725	340	4	.	.	PROPN
ejpam-6725	340	5	math	math	PROPN
ejpam-6725	340	6	,	,	PUNCT
ejpam-6725	340	7	18	18	NUM
ejpam-6725	340	8	(	(	PUNCT
ejpam-6725	340	9	4	4	NUM
ejpam-6725	340	10	)	)	PUNCT
ejpam-6725	340	11	(	(	PUNCT
ejpam-6725	340	12	2025	2025	NUM
ejpam-6725	340	13	)	)	PUNCT
ejpam-6725	340	14	,	,	PUNCT
ejpam-6725	340	15	6725	6725	NUM
ejpam-6725	340	16	12	12	NUM
ejpam-6725	340	17	of	of	ADP
ejpam-6725	340	18	18	18	NUM
ejpam-6725	340	19	we	we	PRON
ejpam-6725	340	20	can	can	AUX
ejpam-6725	340	21	write	write	VERB
ejpam-6725	340	22	(	(	PUNCT
ejpam-6725	340	23	4.11	4.11	NUM
ejpam-6725	340	24	)	)	PUNCT
ejpam-6725	340	25	further	far	ADV
ejpam-6725	340	26	in	in	ADP
ejpam-6725	340	27	the	the	DET
ejpam-6725	340	28	form	form	NOUN
ejpam-6725	340	29	:	:	PUNCT
ejpam-6725	340	30	a1c1	a1c1	PRON
ejpam-6725	341	1	+	+	ADJ
ejpam-6725	341	2	b1c2	b1c2	NOUN
ejpam-6725	341	3	=	=	SYM
ejpam-6725	341	4	f	f	PROPN
ejpam-6725	341	5	and	and	CCONJ
ejpam-6725	341	6	a2c1	a2c1	PROPN
ejpam-6725	342	1	+	+	NOUN
ejpam-6725	342	2	b2c2	b2c2	PROPN
ejpam-6725	342	3	=	=	PUNCT
ejpam-6725	342	4	g	g	NOUN
ejpam-6725	342	5	,	,	PUNCT
ejpam-6725	342	6	(	(	PUNCT
ejpam-6725	342	7	4.12	4.12	NUM
ejpam-6725	342	8	)	)	PUNCT
ejpam-6725	342	9	where	where	SCONJ
ejpam-6725	342	10	,	,	PUNCT
ejpam-6725	342	11	a1	a1	NOUN
ejpam-6725	342	12	=	=	NOUN
ejpam-6725	343	1	i	i	NOUN
ejpam-6725	343	2	−k1	−k1	NOUN
ejpam-6725	343	3	=	=	PUNCT
ejpam-6725	343	4			VERB
ejpam-6725	343	5	0.83333	0.83333	NUM
ejpam-6725	343	6	0	0	NUM
ejpam-6725	343	7	0	0	NUM
ejpam-6725	344	1	−0.16667	−0.16667	X
ejpam-6725	344	2	0	0	NUM
ejpam-6725	344	3	0	0	SYM
ejpam-6725	344	4	0	0	NUM
ejpam-6725	344	5	1	1	NUM
ejpam-6725	344	6	0	0	NUM
ejpam-6725	344	7	0	0	NUM
ejpam-6725	344	8	0	0	NUM
ejpam-6725	344	9	0	0	NUM
ejpam-6725	344	10	0	0	NUM
ejpam-6725	344	11	0	0	NUM
ejpam-6725	344	12	1	1	NUM
ejpam-6725	344	13	0	0	NUM
ejpam-6725	344	14	0	0	NUM
ejpam-6725	344	15	0	0	NUM
ejpam-6725	344	16	−0.16667	−0.16667	X
ejpam-6725	344	17	0	0	NUM
ejpam-6725	344	18	0	0	NUM
ejpam-6725	344	19	0.83333	0.83333	NUM
ejpam-6725	344	20	0	0	NUM
ejpam-6725	344	21	0	0	NUM
ejpam-6725	344	22	0	0	NUM
ejpam-6725	344	23	0	0	NUM
ejpam-6725	344	24	0	0	NUM
ejpam-6725	344	25	0	0	NUM
ejpam-6725	344	26	1	1	NUM
ejpam-6725	344	27	0	0	NUM
ejpam-6725	344	28	0	0	NUM
ejpam-6725	344	29	0	0	NUM
ejpam-6725	344	30	0	0	NUM
ejpam-6725	344	31	0	0	NUM
ejpam-6725	344	32	0	0	NUM
ejpam-6725	344	33	1	1	NUM
ejpam-6725	344	34			PROPN
ejpam-6725	344	35	,	,	PUNCT
ejpam-6725	344	36	b1	b1	NOUN
ejpam-6725	344	37	=	=	SYM
ejpam-6725	344	38	−k2	−k2	PROPN
ejpam-6725	344	39	=	=	PUNCT
ejpam-6725	344	40			NOUN
ejpam-6725	344	41	−0.16667	−0.16667	X
ejpam-6725	344	42	0	0	NUM
ejpam-6725	344	43	0	0	NUM
ejpam-6725	344	44	−0.16667	−0.16667	X
ejpam-6725	344	45	0	0	NUM
ejpam-6725	344	46	0	0	NUM
ejpam-6725	344	47	0	0	NUM
ejpam-6725	344	48	0	0	NUM
ejpam-6725	344	49	0	0	NUM
ejpam-6725	344	50	0	0	NUM
ejpam-6725	344	51	0	0	NUM
ejpam-6725	344	52	0	0	NUM
ejpam-6725	344	53	0	0	NUM
ejpam-6725	344	54	0	0	NUM
ejpam-6725	344	55	0	0	NUM
ejpam-6725	344	56	0	0	NUM
ejpam-6725	344	57	0	0	NUM
ejpam-6725	344	58	0	0	NUM
ejpam-6725	344	59	−0.16667	−0.16667	X
ejpam-6725	344	60	0	0	NUM
ejpam-6725	344	61	0	0	NUM
ejpam-6725	344	62	−0.16667	−0.16667	X
ejpam-6725	344	63	0	0	NUM
ejpam-6725	344	64	0	0	NUM
ejpam-6725	344	65	0	0	NUM
ejpam-6725	344	66	0	0	NUM
ejpam-6725	344	67	0	0	NUM
ejpam-6725	344	68	0	0	NUM
ejpam-6725	344	69	0	0	NUM
ejpam-6725	344	70	0	0	NUM
ejpam-6725	344	71	0	0	NUM
ejpam-6725	344	72	0	0	NUM
ejpam-6725	344	73	0	0	NUM
ejpam-6725	344	74	0	0	NUM
ejpam-6725	344	75	0	0	NUM
ejpam-6725	344	76	0	0	NUM
ejpam-6725	344	77			PROPN
ejpam-6725	344	78	,	,	PUNCT
ejpam-6725	344	79	a2	a2	PROPN
ejpam-6725	344	80	=	=	PUNCT
ejpam-6725	344	81	−k4	−k4	X
ejpam-6725	344	82	=	=	PUNCT
ejpam-6725	344	83			VERB
ejpam-6725	344	84	−0.25	−0.25	ADV
ejpam-6725	344	85	0	0	NUM
ejpam-6725	344	86	0	0	NUM
ejpam-6725	345	1	−0.25	−0.25	NOUN
ejpam-6725	345	2	0	0	NUM
ejpam-6725	345	3	0	0	NUM
ejpam-6725	345	4	0	0	NUM
ejpam-6725	345	5	0	0	NUM
ejpam-6725	345	6	0	0	NUM
ejpam-6725	345	7	0	0	NUM
ejpam-6725	345	8	0	0	NUM
ejpam-6725	345	9	0	0	NUM
ejpam-6725	345	10	0	0	NUM
ejpam-6725	345	11	0	0	NUM
ejpam-6725	345	12	0	0	NUM
ejpam-6725	345	13	0	0	NUM
ejpam-6725	345	14	0	0	NUM
ejpam-6725	345	15	0	0	NUM
ejpam-6725	346	1	−0.25	−0.25	NOUN
ejpam-6725	346	2	0	0	NUM
ejpam-6725	346	3	0	0	NUM
ejpam-6725	347	1	−0.25	−0.25	NOUN
ejpam-6725	347	2	0	0	NUM
ejpam-6725	347	3	0	0	NUM
ejpam-6725	347	4	0	0	NUM
ejpam-6725	347	5	0	0	NUM
ejpam-6725	347	6	0	0	NUM
ejpam-6725	347	7	0	0	NUM
ejpam-6725	347	8	0	0	NUM
ejpam-6725	347	9	0	0	NUM
ejpam-6725	347	10	0	0	NUM
ejpam-6725	347	11	0	0	NUM
ejpam-6725	347	12	0	0	NUM
ejpam-6725	347	13	0	0	NUM
ejpam-6725	347	14	0	0	NUM
ejpam-6725	347	15	0	0	NUM
ejpam-6725	347	16			PROPN
ejpam-6725	347	17	,	,	PUNCT
ejpam-6725	347	18	b2	b2	NOUN
ejpam-6725	347	19	=	=	NOUN
ejpam-6725	348	1	i	i	PRON
ejpam-6725	348	2	−k3	−k3	NOUN
ejpam-6725	348	3	=	=	PUNCT
ejpam-6725	348	4			VERB
ejpam-6725	348	5	0.75	0.75	NUM
ejpam-6725	348	6	0	0	NUM
ejpam-6725	348	7	0	0	NUM
ejpam-6725	349	1	−0.25	−0.25	NOUN
ejpam-6725	349	2	0	0	NUM
ejpam-6725	349	3	0	0	NUM
ejpam-6725	349	4	0	0	NUM
ejpam-6725	349	5	1	1	NUM
ejpam-6725	349	6	0	0	NUM
ejpam-6725	349	7	0	0	NUM
ejpam-6725	349	8	0	0	NUM
ejpam-6725	349	9	0	0	NUM
ejpam-6725	349	10	0	0	NUM
ejpam-6725	349	11	0	0	NUM
ejpam-6725	349	12	1	1	NUM
ejpam-6725	349	13	0	0	NUM
ejpam-6725	349	14	0	0	NUM
ejpam-6725	349	15	0	0	NUM
ejpam-6725	350	1	−0.25	−0.25	NOUN
ejpam-6725	350	2	0	0	NUM
ejpam-6725	350	3	0	0	NUM
ejpam-6725	350	4	0.75	0.75	NUM
ejpam-6725	350	5	0	0	NUM
ejpam-6725	350	6	0	0	NUM
ejpam-6725	350	7	0	0	NUM
ejpam-6725	350	8	0	0	NUM
ejpam-6725	350	9	0	0	NUM
ejpam-6725	350	10	0	0	NUM
ejpam-6725	350	11	1	1	NUM
ejpam-6725	350	12	0	0	NUM
ejpam-6725	350	13	0	0	NUM
ejpam-6725	350	14	0	0	NUM
ejpam-6725	350	15	0	0	NUM
ejpam-6725	350	16	0	0	NUM
ejpam-6725	350	17	0	0	NUM
ejpam-6725	350	18	1	1	NUM
ejpam-6725	350	19			PROPN
ejpam-6725	350	20	,	,	PUNCT
ejpam-6725	350	21	f	f	PROPN
ejpam-6725	350	22	=	=	PRON
ejpam-6725	351	1	[	[	PUNCT
ejpam-6725	351	2	−	−	NUM
ejpam-6725	351	3	√	√	NUM
ejpam-6725	351	4	2	2	NUM
ejpam-6725	351	5	72	72	NUM
ejpam-6725	351	6	,	,	PUNCT
ejpam-6725	351	7	√	√	PROPN
ejpam-6725	351	8	6	6	NUM
ejpam-6725	351	9	24	24	NUM
ejpam-6725	351	10	,	,	PUNCT
ejpam-6725	351	11	0	0	NUM
ejpam-6725	351	12	,	,	PUNCT
ejpam-6725	351	13	17	17	NUM
ejpam-6725	351	14	√	√	SYM
ejpam-6725	351	15	2	2	NUM
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ejpam-6725	351	17	,	,	PUNCT
ejpam-6725	351	18	√	√	PROPN
ejpam-6725	351	19	6	6	NUM
ejpam-6725	351	20	24	24	NUM
ejpam-6725	351	21	,	,	PUNCT
ejpam-6725	351	22	0	0	NUM
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ejpam-6725	351	24	t	t	NOUN
ejpam-6725	351	25	,	,	PUNCT
ejpam-6725	351	26	g	g	PROPN
ejpam-6725	351	27	=	=	PUNCT
ejpam-6725	352	1	[	[	PUNCT
ejpam-6725	352	2	−	−	PROPN
ejpam-6725	352	3	√	√	NUM
ejpam-6725	352	4	2	2	NUM
ejpam-6725	352	5	6	6	NUM
ejpam-6725	352	6	,	,	PUNCT
ejpam-6725	352	7	√	√	NUM
ejpam-6725	352	8	6	6	NUM
ejpam-6725	352	9	48	48	NUM
ejpam-6725	352	10	,	,	PUNCT
ejpam-6725	352	11	√	√	PROPN
ejpam-6725	352	12	10	10	NUM
ejpam-6725	352	13	240	240	NUM
ejpam-6725	352	14	,	,	PUNCT
ejpam-6725	352	15	√	√	NUM
ejpam-6725	352	16	2	2	NUM
ejpam-6725	352	17	12	12	NUM
ejpam-6725	352	18	,	,	PUNCT
ejpam-6725	352	19	√	√	NUM
ejpam-6725	352	20	6	6	NUM
ejpam-6725	352	21	16	16	NUM
ejpam-6725	352	22	,	,	PUNCT
ejpam-6725	352	23	√	√	PROPN
ejpam-6725	352	24	10	10	NUM
ejpam-6725	352	25	240	240	NUM
ejpam-6725	352	26	]	]	X
ejpam-6725	352	27	t	t	NOUN
ejpam-6725	352	28	.	.	PUNCT
ejpam-6725	353	1	using	use	VERB
ejpam-6725	353	2	our	our	PRON
ejpam-6725	353	3	proposed	propose	VERB
ejpam-6725	353	4	finite	finite	ADJ
ejpam-6725	353	5	iterative	iterative	NOUN
ejpam-6725	353	6	algorithm	algorithm	NOUN
ejpam-6725	353	7	2.1	2.1	NUM
ejpam-6725	353	8	to	to	PART
ejpam-6725	353	9	solve	solve	VERB
ejpam-6725	353	10	the	the	DET
ejpam-6725	353	11	coupled	couple	VERB
ejpam-6725	353	12	matrix	matrix	NOUN
ejpam-6725	353	13	system	system	NOUN
ejpam-6725	353	14	given	give	VERB
ejpam-6725	353	15	in	in	ADP
ejpam-6725	353	16	equation	equation	NOUN
ejpam-6725	353	17	(	(	PUNCT
ejpam-6725	353	18	4.12	4.12	NUM
ejpam-6725	353	19	)	)	PUNCT
ejpam-6725	353	20	,	,	PUNCT
ejpam-6725	353	21	we	we	PRON
ejpam-6725	353	22	obtain	obtain	VERB
ejpam-6725	353	23	the	the	DET
ejpam-6725	353	24	coefficient	coefficient	NOUN
ejpam-6725	353	25	vectors	vector	NOUN
ejpam-6725	353	26	c1	c1	NOUN
ejpam-6725	353	27	=	=	PUNCT
ejpam-6725	354	1	[	[	X
ejpam-6725	354	2	0.17679	0.17679	NUM
ejpam-6725	354	3	,	,	PUNCT
ejpam-6725	354	4	0.10206	0.10206	NUM
ejpam-6725	354	5	,	,	PUNCT
ejpam-6725	354	6	0	0	NUM
ejpam-6725	354	7	,	,	PUNCT
ejpam-6725	354	8	0.53034	0.53034	NUM
ejpam-6725	354	9	,	,	PUNCT
ejpam-6725	354	10	0.10206	0.10206	NUM
ejpam-6725	354	11	,	,	PUNCT
ejpam-6725	354	12	0]t	0]t	NOUN
ejpam-6725	354	13	,	,	PUNCT
ejpam-6725	354	14	and	and	CCONJ
ejpam-6725	354	15	c2	c2	PROPN
ejpam-6725	354	16	=	=	PUNCT
ejpam-6725	355	1	[	[	X
ejpam-6725	355	2	0.058937	0.058937	NUM
ejpam-6725	355	3	,	,	PUNCT
ejpam-6725	355	4	0.051031	0.051031	NUM
ejpam-6725	355	5	,	,	PUNCT
ejpam-6725	355	6	0.013176	0.013176	NUM
ejpam-6725	355	7	,	,	PUNCT
ejpam-6725	355	8	0.41249	0.41249	NUM
ejpam-6725	355	9	,	,	PUNCT
ejpam-6725	355	10	0.15309	0.15309	NUM
ejpam-6725	355	11	,	,	PUNCT
ejpam-6725	355	12	0.013176]t	0.013176]t	NOUN
ejpam-6725	355	13	.	.	PUNCT
ejpam-6725	356	1	substituting	substitute	VERB
ejpam-6725	356	2	these	these	DET
ejpam-6725	356	3	coefficient	coefficient	NOUN
ejpam-6725	356	4	vectors	vector	NOUN
ejpam-6725	356	5	into	into	ADP
ejpam-6725	356	6	coupled	couple	VERB
ejpam-6725	356	7	system	system	NOUN
ejpam-6725	356	8	of	of	ADP
ejpam-6725	356	9	equations	equation	NOUN
ejpam-6725	356	10	(	(	PUNCT
ejpam-6725	356	11	4.12	4.12	NUM
ejpam-6725	356	12	)	)	PUNCT
ejpam-6725	356	13	provides	provide	VERB
ejpam-6725	356	14	the	the	DET
ejpam-6725	356	15	approximate	approximate	ADJ
ejpam-6725	356	16	solutions	solution	NOUN
ejpam-6725	356	17	at	at	ADP
ejpam-6725	356	18	the	the	DET
ejpam-6725	356	19	corresponding	corresponding	ADJ
ejpam-6725	356	20	time	time	NOUN
ejpam-6725	356	21	points	point	NOUN
ejpam-6725	356	22	,	,	PUNCT
ejpam-6725	356	23	as	as	SCONJ
ejpam-6725	356	24	shown	show	VERB
ejpam-6725	356	25	in	in	ADP
ejpam-6725	356	26	table	table	NOUN
ejpam-6725	356	27	5	5	NUM
ejpam-6725	356	28	below	below	ADV
ejpam-6725	356	29	.	.	PUNCT
ejpam-6725	357	1	as	as	SCONJ
ejpam-6725	357	2	shown	show	VERB
ejpam-6725	357	3	in	in	ADP
ejpam-6725	357	4	tables	table	NOUN
ejpam-6725	357	5	6	6	NUM
ejpam-6725	357	6	and	and	CCONJ
ejpam-6725	357	7	7	7	NUM
ejpam-6725	357	8	,	,	PUNCT
ejpam-6725	357	9	our	our	PRON
ejpam-6725	357	10	proposed	propose	VERB
ejpam-6725	357	11	method	method	NOUN
ejpam-6725	357	12	yields	yield	VERB
ejpam-6725	357	13	more	more	ADV
ejpam-6725	357	14	accurate	accurate	ADJ
ejpam-6725	357	15	results	result	NOUN
ejpam-6725	357	16	compared	compare	VERB
ejpam-6725	357	17	to	to	ADP
ejpam-6725	357	18	those	those	PRON
ejpam-6725	357	19	reported	report	VERB
ejpam-6725	357	20	in	in	ADP
ejpam-6725	357	21	references	reference	NOUN
ejpam-6725	357	22	[	[	X
ejpam-6725	357	23	33	33	NUM
ejpam-6725	357	24	]	]	PUNCT
ejpam-6725	357	25	,	,	PUNCT
ejpam-6725	357	26	[	[	X
ejpam-6725	357	27	12	12	NUM
ejpam-6725	357	28	]	]	PUNCT
ejpam-6725	357	29	,	,	PUNCT
ejpam-6725	357	30	and	and	CCONJ
ejpam-6725	357	31	[	[	X
ejpam-6725	357	32	25	25	NUM
ejpam-6725	357	33	]	]	PUNCT
ejpam-6725	357	34	.	.	PUNCT
ejpam-6725	358	1	in	in	ADP
ejpam-6725	358	2	addition	addition	NOUN
ejpam-6725	358	3	to	to	ADP
ejpam-6725	358	4	its	its	PRON
ejpam-6725	358	5	superior	superior	ADJ
ejpam-6725	358	6	or	or	CCONJ
ejpam-6725	358	7	comparable	comparable	ADJ
ejpam-6725	358	8	accuracy	accuracy	NOUN
ejpam-6725	358	9	,	,	PUNCT
ejpam-6725	358	10	our	our	PRON
ejpam-6725	358	11	method	method	NOUN
ejpam-6725	358	12	is	be	AUX
ejpam-6725	358	13	also	also	ADV
ejpam-6725	358	14	highly	highly	ADV
ejpam-6725	358	15	efficient	efficient	ADJ
ejpam-6725	358	16	,	,	PUNCT
ejpam-6725	358	17	as	as	SCONJ
ejpam-6725	358	18	it	it	PRON
ejpam-6725	358	19	eliminates	eliminate	VERB
ejpam-6725	358	20	the	the	DET
ejpam-6725	358	21	need	need	NOUN
ejpam-6725	358	22	for	for	ADP
ejpam-6725	358	23	the	the	DET
ejpam-6725	358	24	computationally	computationally	ADV
ejpam-6725	358	25	intensive	intensive	ADJ
ejpam-6725	358	26	matrix	matrix	NOUN
ejpam-6725	358	27	inversion	inversion	NOUN
ejpam-6725	358	28	when	when	SCONJ
ejpam-6725	358	29	determining	determine	VERB
ejpam-6725	358	30	the	the	DET
ejpam-6725	358	31	coefficient	coefficient	NOUN
ejpam-6725	358	32	vectors	vector	NOUN
ejpam-6725	358	33	c1	c1	PROPN
ejpam-6725	358	34	,	,	PUNCT
ejpam-6725	358	35	c2	c2	PROPN
ejpam-6725	358	36	example	example	NOUN
ejpam-6725	358	37	3	3	NUM
ejpam-6725	358	38	consider	consider	VERB
ejpam-6725	358	39	the	the	DET
ejpam-6725	358	40	system	system	NOUN
ejpam-6725	358	41	of	of	ADP
ejpam-6725	358	42	two	two	NUM
ejpam-6725	358	43	coupled	couple	VERB
ejpam-6725	358	44	linear	linear	ADJ
ejpam-6725	358	45	fredholm	fredholm	NOUN
ejpam-6725	358	46	integral	integral	ADJ
ejpam-6725	358	47	equations	equation	NOUN
ejpam-6725	358	48	[	[	X
ejpam-6725	358	49	30	30	NUM
ejpam-6725	358	50	]	]	PUNCT
ejpam-6725	358	51	m.	m.	NOUN
ejpam-6725	358	52	a.	a.	PROPN
ejpam-6725	358	53	ramadan	ramadan	PROPN
ejpam-6725	358	54	et	et	PROPN
ejpam-6725	358	55	al	al	PROPN
ejpam-6725	358	56	.	.	PUNCT
ejpam-6725	358	57	/	/	SYM
ejpam-6725	358	58	eur	eur	PROPN
ejpam-6725	358	59	.	.	PUNCT
ejpam-6725	359	1	j.	j.	PROPN
ejpam-6725	359	2	pure	pure	PROPN
ejpam-6725	359	3	appl	appl	PROPN
ejpam-6725	359	4	.	.	PROPN
ejpam-6725	359	5	math	math	PROPN
ejpam-6725	359	6	,	,	PUNCT
ejpam-6725	359	7	18	18	NUM
ejpam-6725	359	8	(	(	PUNCT
ejpam-6725	359	9	4	4	NUM
ejpam-6725	359	10	)	)	PUNCT
ejpam-6725	359	11	(	(	PUNCT
ejpam-6725	359	12	2025	2025	NUM
ejpam-6725	359	13	)	)	PUNCT
ejpam-6725	359	14	,	,	PUNCT
ejpam-6725	359	15	6725	6725	NUM
ejpam-6725	359	16	13	13	NUM
ejpam-6725	359	17	of	of	ADP
ejpam-6725	359	18	18	18	NUM
ejpam-6725	359	19	table	table	NOUN
ejpam-6725	359	20	5	5	NUM
ejpam-6725	359	21	:	:	PUNCT
ejpam-6725	359	22	the	the	DET
ejpam-6725	359	23	numerical	numerical	ADJ
ejpam-6725	359	24	results	result	NOUN
ejpam-6725	359	25	for	for	ADP
ejpam-6725	359	26	example	example	NOUN
ejpam-6725	359	27	2	2	NUM
ejpam-6725	359	28	with	with	ADP
ejpam-6725	359	29	proposed	propose	VERB
ejpam-6725	359	30	legendre	legendre	PROPN
ejpam-6725	359	31	wavelets	wavelet	NOUN
ejpam-6725	359	32	for	for	ADP
ejpam-6725	359	33	m	m	PROPN
ejpam-6725	359	34	=	=	SYM
ejpam-6725	359	35	3	3	NUM
ejpam-6725	359	36	,	,	PUNCT
ejpam-6725	359	37	k	k	NOUN
ejpam-6725	359	38	=	=	SYM
ejpam-6725	359	39	2	2	NUM
ejpam-6725	359	40	t	t	NOUN
ejpam-6725	359	41	exact	exact	ADJ
ejpam-6725	359	42	solution	solution	NOUN
ejpam-6725	359	43	presented	present	VERB
ejpam-6725	359	44	method	method	NOUN
ejpam-6725	359	45	(	(	PUNCT
ejpam-6725	359	46	u1(t	u1(t	PROPN
ejpam-6725	359	47	)	)	PUNCT
ejpam-6725	359	48	,	,	PUNCT
ejpam-6725	359	49	u2(t	u2(t	NOUN
ejpam-6725	359	50	)	)	PUNCT
ejpam-6725	359	51	)	)	PUNCT
ejpam-6725	360	1	absolute	absolute	ADJ
ejpam-6725	360	2	error	error	NOUN
ejpam-6725	360	3	0	0	NUM
ejpam-6725	360	4	0	0	NUM
ejpam-6725	360	5	0	0	NUM
ejpam-6725	361	1	0.00002389254361656518	0.00002389254361656518	NUM
ejpam-6725	361	2	0.00001576411199376885	0.00001576411199376885	NUM
ejpam-6725	361	3	2.3893e−	2.3893e−	NUM
ejpam-6725	361	4	05	05	NUM
ejpam-6725	362	1	1.5764e−	1.5764e−	NUM
ejpam-6725	362	2	05	05	NUM
ejpam-6725	362	3	0.1	0.1	NUM
ejpam-6725	362	4	0.1	0.1	NUM
ejpam-6725	362	5	0.01	0.01	NUM
ejpam-6725	362	6	0.1000218618029359	0.1000218618029359	NUM
ejpam-6725	362	7	0.01001620490521751	0.01001620490521751	NUM
ejpam-6725	362	8	2.1862e−	2.1862e−	NUM
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ejpam-6725	411	3	−	−	NOUN
ejpam-6725	411	4	04	04	NUM
ejpam-6725	412	1	0.1600160981819797	0.1600160981819797	NUM
ejpam-6725	412	2	1.6098e	1.6098e	NUM
ejpam-6725	412	3	−	−	NUM
ejpam-6725	412	4	05	05	NUM
ejpam-6725	412	5	0.5	0.5	NUM
ejpam-6725	412	6	0.25500000	0.25500000	NUM
ejpam-6725	412	7	4.15731e	4.15731e	NUM
ejpam-6725	412	8	−	−	NOUN
ejpam-6725	412	9	003	003	NUM
ejpam-6725	413	1	0.25048828	0.25048828	NUM
ejpam-6725	413	2	4.88281256e	4.88281256e	NOUN
ejpam-6725	413	3	−	−	NOUN
ejpam-6725	413	4	04	04	NUM
ejpam-6725	414	1	0.2500227380709804	0.2500227380709804	NUM
ejpam-6725	415	1	2.2738e	2.2738e	PROPN
ejpam-6725	415	2	−	−	NOUN
ejpam-6725	416	1	05	05	NUM
ejpam-6725	416	2	0.6	0.6	NUM
ejpam-6725	416	3	0.36500000	0.36500000	NUM
ejpam-6725	416	4	4.15725e	4.15725e	NUM
ejpam-6725	416	5	−	−	NOUN
ejpam-6725	416	6	003	003	NUM
ejpam-6725	416	7	0.36064453	0.36064453	NUM
ejpam-6725	416	8	6.44531256e	6.44531256e	NUM
ejpam-6725	416	9	−	−	NOUN
ejpam-6725	416	10	04	04	NUM
ejpam-6725	417	1	0.3600201683276863	0.3600201683276863	NUM
ejpam-6725	417	2	2.0168e	2.0168e	NUM
ejpam-6725	418	1	−	−	NOUN
ejpam-6725	418	2	05	05	NUM
ejpam-6725	419	1	0.7	0.7	NUM
ejpam-6725	419	2	0.49500000	0.49500000	NUM
ejpam-6725	419	3	4.15718e	4.15718e	NUM
ejpam-6725	419	4	−	−	NUM
ejpam-6725	419	5	003	003	NUM
ejpam-6725	420	1	0.49072266	0.49072266	NUM
ejpam-6725	420	2	7.22656256e	7.22656256e	NOUN
ejpam-6725	420	3	−	−	NOUN
ejpam-6725	420	4	04	04	NUM
ejpam-6725	421	1	0.490017360400574	0.490017360400574	NUM
ejpam-6725	421	2	1.736e	1.736e	ADJ
ejpam-6725	421	3	−	−	PROPN
ejpam-6725	421	4	05	05	NUM
ejpam-6725	422	1	0.8	0.8	NUM
ejpam-6725	422	2	0.64500000	0.64500000	NUM
ejpam-6725	422	3	4.15711e	4.15711e	NUM
ejpam-6725	422	4	−	−	NUM
ejpam-6725	422	5	003	003	NUM
ejpam-6725	422	6	0.64072266	0.64072266	NUM
ejpam-6725	423	1	7.22656256e	7.22656256e	NUM
ejpam-6725	423	2	−	−	NOUN
ejpam-6725	423	3	04	04	NUM
ejpam-6725	423	4	0.6400143142896436	0.6400143142896436	NUM
ejpam-6725	423	5	1.4314e	1.4314e	NUM
ejpam-6725	423	6	−	−	NOUN
ejpam-6725	423	7	05	05	NUM
ejpam-6725	423	8	0.9	0.9	NUM
ejpam-6725	423	9	0.81500000	0.81500000	NUM
ejpam-6725	423	10	4.15702e	4.15702e	NOUN
ejpam-6725	423	11	−	−	NOUN
ejpam-6725	423	12	003	003	NUM
ejpam-6725	423	13	0.81064453	0.81064453	NUM
ejpam-6725	423	14	6.44531256e	6.44531256e	NUM
ejpam-6725	423	15	−	−	NOUN
ejpam-6725	423	16	04	04	NUM
ejpam-6725	423	17	0.8100110299948949	0.8100110299948949	NUM
ejpam-6725	423	18	1.103e	1.103e	NUM
ejpam-6725	424	1	−	−	PROPN
ejpam-6725	424	2	05	05	NUM
ejpam-6725	425	1	u1(t	u1(t	PROPN
ejpam-6725	425	2	)	)	PUNCT
ejpam-6725	426	1	=	=	SYM
ejpam-6725	426	2	sin(t)−	sin(t)−	PROPN
ejpam-6725	426	3	cos(1	cos(1	PROPN
ejpam-6725	426	4	)	)	PUNCT
ejpam-6725	427	1	+	+	CCONJ
ejpam-6725	427	2	sin(1)−	sin(1)−	PROPN
ejpam-6725	427	3	t	t	NOUN
ejpam-6725	427	4	sin(1	sin(1	NOUN
ejpam-6725	427	5	)	)	PUNCT
ejpam-6725	428	1	+	+	CCONJ
ejpam-6725	428	2	∫	∫	PROPN
ejpam-6725	428	3	1	1	NUM
ejpam-6725	428	4	x=0	x=0	PUNCT
ejpam-6725	429	1	[	[	X
ejpam-6725	429	2	(	(	PUNCT
ejpam-6725	429	3	t−	t−	PROPN
ejpam-6725	429	4	s)u1(s	s)u1(	NOUN
ejpam-6725	429	5	)	)	PUNCT
ejpam-6725	429	6	+	+	CCONJ
ejpam-6725	429	7	tsu2(s	tsu2(s	NOUN
ejpam-6725	429	8	)	)	PUNCT
ejpam-6725	429	9	]	]	X
ejpam-6725	429	10	ds	ds	X
ejpam-6725	429	11	,	,	PUNCT
ejpam-6725	429	12	u2(t	u2(t	NOUN
ejpam-6725	429	13	)	)	PUNCT
ejpam-6725	429	14	=	=	SYM
ejpam-6725	429	15	cos(t)−	cos(t)−	PROPN
ejpam-6725	429	16	(	(	PUNCT
ejpam-6725	429	17	1−	1−	NUM
ejpam-6725	429	18	cos(1))t2	cos(1))t2	NUM
ejpam-6725	429	19	+	+	CCONJ
ejpam-6725	429	20	cos(1)−	cos(1)−	NOUN
ejpam-6725	429	21	3	3	NUM
ejpam-6725	429	22	sin(1)−	sin(1)−	NOUN
ejpam-6725	429	23	t	t	NOUN
ejpam-6725	429	24	sin(1	sin(1	NOUN
ejpam-6725	429	25	)	)	PUNCT
ejpam-6725	430	1	+	+	CCONJ
ejpam-6725	430	2	1+∫	1+∫	NUM
ejpam-6725	430	3	1	1	NUM
ejpam-6725	430	4	x=0	x=0	PUNCT
ejpam-6725	431	1	[	[	X
ejpam-6725	431	2	(	(	PUNCT
ejpam-6725	431	3	t2	t2	NOUN
ejpam-6725	431	4	+	+	CCONJ
ejpam-6725	431	5	2s	2s	NUM
ejpam-6725	431	6	)	)	PUNCT
ejpam-6725	431	7	u1(s	u1(s	PROPN
ejpam-6725	431	8	)	)	PUNCT
ejpam-6725	431	9	+	+	CCONJ
ejpam-6725	431	10	(	(	PUNCT
ejpam-6725	431	11	s+	s+	NUM
ejpam-6725	431	12	t)u2(s	t)u2(s	PROPN
ejpam-6725	431	13	)	)	PUNCT
ejpam-6725	431	14	)	)	PUNCT
ejpam-6725	431	15	]	]	PUNCT
ejpam-6725	432	1	ds	ds	X
ejpam-6725	432	2	,	,	PUNCT
ejpam-6725	432	3	(	(	PUNCT
ejpam-6725	432	4	4.13	4.13	NUM
ejpam-6725	432	5	)	)	PUNCT
ejpam-6725	432	6	with	with	ADP
ejpam-6725	432	7	exact	exact	ADJ
ejpam-6725	432	8	solution	solution	NOUN
ejpam-6725	432	9	(	(	PUNCT
ejpam-6725	432	10	u1(t	u1(t	PROPN
ejpam-6725	432	11	)	)	PUNCT
ejpam-6725	432	12	,	,	PUNCT
ejpam-6725	432	13	u2(t	u2(t	NOUN
ejpam-6725	432	14	)	)	PUNCT
ejpam-6725	432	15	)	)	PUNCT
ejpam-6725	433	1	=	=	SYM
ejpam-6725	433	2	(	(	PUNCT
ejpam-6725	433	3	sin(t	sin(t	NOUN
ejpam-6725	433	4	)	)	PUNCT
ejpam-6725	433	5	,	,	PUNCT
ejpam-6725	433	6	cos(t	cos(t	PROPN
ejpam-6725	433	7	)	)	PUNCT
ejpam-6725	433	8	)	)	PUNCT
ejpam-6725	433	9	.	.	PUNCT
ejpam-6725	434	1	noting	note	VERB
ejpam-6725	434	2	that	that	SCONJ
ejpam-6725	434	3	,	,	PUNCT
ejpam-6725	434	4	zaffer	zaffer	PROPN
ejpam-6725	434	5	elahi	elahi	PROPN
ejpam-6725	434	6	et	et	PROPN
ejpam-6725	434	7	al	al	PROPN
ejpam-6725	434	8	.	.	PUNCT
ejpam-6725	435	1	[	[	X
ejpam-6725	435	2	30	30	NUM
ejpam-6725	435	3	]	]	PUNCT
ejpam-6725	435	4	tackled	tackle	VERB
ejpam-6725	435	5	this	this	DET
ejpam-6725	435	6	system	system	NOUN
ejpam-6725	435	7	using	use	VERB
ejpam-6725	435	8	laguerre	laguerre	NOUN
ejpam-6725	435	9	method	method	NOUN
ejpam-6725	435	10	.	.	PUNCT
ejpam-6725	436	1	by	by	ADP
ejpam-6725	436	2	taking	take	VERB
ejpam-6725	436	3	m	m	PROPN
ejpam-6725	436	4	=	=	SYM
ejpam-6725	436	5	3	3	NUM
ejpam-6725	436	6	,	,	PUNCT
ejpam-6725	436	7	k	k	NOUN
ejpam-6725	436	8	=	=	SYM
ejpam-6725	436	9	2	2	NUM
ejpam-6725	436	10	,	,	PUNCT
ejpam-6725	436	11	applying	apply	VERB
ejpam-6725	436	12	our	our	PRON
ejpam-6725	436	13	proposed	propose	VERB
ejpam-6725	436	14	method	method	NOUN
ejpam-6725	436	15	(	(	PUNCT
ejpam-6725	436	16	lwm	lwm	NOUN
ejpam-6725	436	17	)	)	PUNCT
ejpam-6725	436	18	,	,	PUNCT
ejpam-6725	436	19	the	the	DET
ejpam-6725	436	20	unknown	unknown	ADJ
ejpam-6725	436	21	functions	function	NOUN
ejpam-6725	436	22	u1(t	u1(t	ADP
ejpam-6725	436	23	)	)	PUNCT
ejpam-6725	436	24	,	,	PUNCT
ejpam-6725	436	25	u2(t	u2(t	PROPN
ejpam-6725	436	26	)	)	PUNCT
ejpam-6725	436	27	can	can	AUX
ejpam-6725	436	28	be	be	AUX
ejpam-6725	436	29	expanded	expand	VERB
ejpam-6725	436	30	as	as	ADP
ejpam-6725	436	31	u1(t	u1(t	PROPN
ejpam-6725	436	32	)	)	PUNCT
ejpam-6725	437	1	≈	≈	PROPN
ejpam-6725	437	2	ct	ct	NUM
ejpam-6725	437	3	1	1	NUM
ejpam-6725	437	4	ψ(t	ψ(t	PROPN
ejpam-6725	437	5	)	)	PUNCT
ejpam-6725	437	6	,	,	PUNCT
ejpam-6725	437	7	u2(t	u2(t	NOUN
ejpam-6725	437	8	)	)	PUNCT
ejpam-6725	437	9	≈	≈	PROPN
ejpam-6725	437	10	ct	ct	NOUN
ejpam-6725	437	11	2	2	NUM
ejpam-6725	437	12	ψ(t	ψ(t	PROPN
ejpam-6725	437	13	)	)	PUNCT
ejpam-6725	437	14	(	(	PUNCT
ejpam-6725	437	15	4.14	4.14	NUM
ejpam-6725	437	16	)	)	PUNCT
ejpam-6725	437	17	where	where	SCONJ
ejpam-6725	437	18	c1	c1	PROPN
ejpam-6725	437	19	,	,	PUNCT
ejpam-6725	437	20	c2	c2	PROPN
ejpam-6725	437	21	are	be	AUX
ejpam-6725	437	22	the	the	DET
ejpam-6725	437	23	unknown	unknown	ADJ
ejpam-6725	437	24	2k−1m	2k−1m	NOUN
ejpam-6725	437	25	,	,	PUNCT
ejpam-6725	437	26	m	m	VERB
ejpam-6725	437	27	=	=	SYM
ejpam-6725	437	28	3	3	NUM
ejpam-6725	437	29	,	,	PUNCT
ejpam-6725	437	30	k	k	NOUN
ejpam-6725	437	31	=	=	SYM
ejpam-6725	437	32	2	2	NUM
ejpam-6725	437	33	vectors	vector	NOUN
ejpam-6725	437	34	with	with	ADP
ejpam-6725	437	35	c1	c1	PROPN
ejpam-6725	437	36	=	=	PUNCT
ejpam-6725	437	37	[	[	PUNCT
ejpam-6725	437	38	c1,0	c1,0	PROPN
ejpam-6725	437	39	c1,1	c1,1	PROPN
ejpam-6725	437	40	c1,2	c1,2	PROPN
ejpam-6725	437	41	c2,0	c2,0	PROPN
ejpam-6725	437	42	c2,1	c2,1	PROPN
ejpam-6725	437	43	c2,2	c2,2	NOUN
ejpam-6725	437	44	]	]	X
ejpam-6725	437	45	t	t	PROPN
ejpam-6725	437	46	and	and	CCONJ
ejpam-6725	437	47	c2	c2	PROPN
ejpam-6725	437	48	=	=	PUNCT
ejpam-6725	438	1	[	[	PUNCT
ejpam-6725	438	2	c′1,0	c′1,0	VERB
ejpam-6725	438	3	c′1,1	c′1,1	ADP
ejpam-6725	438	4	c′1,2	c′1,2	ADJ
ejpam-6725	438	5	c′2,0	c′2,0	PUNCT
ejpam-6725	438	6	c′2,1	c′2,1	PROPN
ejpam-6725	438	7	c′2,2	c′2,2	PROPN
ejpam-6725	438	8	]	]	X
ejpam-6725	438	9	t	t	PROPN
ejpam-6725	438	10	and	and	CCONJ
ejpam-6725	438	11	ψ(t	ψ(t	PROPN
ejpam-6725	438	12	)	)	PUNCT
ejpam-6725	438	13	is	be	AUX
ejpam-6725	438	14	legendre	legendre	PROPN
ejpam-6725	438	15	wavelets	wavelet	NOUN
ejpam-6725	438	16	for	for	ADP
ejpam-6725	438	17	m	m	PROPN
ejpam-6725	438	18	=	=	SYM
ejpam-6725	438	19	3	3	NUM
ejpam-6725	438	20	,	,	PUNCT
ejpam-6725	438	21	k	k	NOUN
ejpam-6725	438	22	=	=	SYM
ejpam-6725	438	23	2	2	X
ejpam-6725	438	24	:	:	PUNCT
ejpam-6725	438	25	m.	m.	NOUN
ejpam-6725	438	26	a.	a.	PROPN
ejpam-6725	438	27	ramadan	ramadan	PROPN
ejpam-6725	438	28	et	et	PROPN
ejpam-6725	438	29	al	al	PROPN
ejpam-6725	438	30	.	.	PUNCT
ejpam-6725	438	31	/	/	SYM
ejpam-6725	438	32	eur	eur	PROPN
ejpam-6725	438	33	.	.	PUNCT
ejpam-6725	439	1	j.	j.	PROPN
ejpam-6725	439	2	pure	pure	PROPN
ejpam-6725	439	3	appl	appl	PROPN
ejpam-6725	439	4	.	.	PROPN
ejpam-6725	439	5	math	math	PROPN
ejpam-6725	439	6	,	,	PUNCT
ejpam-6725	439	7	18	18	NUM
ejpam-6725	439	8	(	(	PUNCT
ejpam-6725	439	9	4	4	NUM
ejpam-6725	439	10	)	)	PUNCT
ejpam-6725	439	11	(	(	PUNCT
ejpam-6725	439	12	2025	2025	NUM
ejpam-6725	439	13	)	)	PUNCT
ejpam-6725	439	14	,	,	PUNCT
ejpam-6725	439	15	6725	6725	NUM
ejpam-6725	439	16	14	14	NUM
ejpam-6725	439	17	of	of	ADP
ejpam-6725	439	18	18	18	NUM
ejpam-6725	439	19	table	table	NOUN
ejpam-6725	439	20	7	7	NUM
ejpam-6725	439	21	:	:	PUNCT
ejpam-6725	439	22	comparison	comparison	NOUN
ejpam-6725	439	23	between	between	ADP
ejpam-6725	439	24	absolute	absolute	ADJ
ejpam-6725	439	25	errors	error	NOUN
ejpam-6725	439	26	for	for	ADP
ejpam-6725	439	27	results	result	NOUN
ejpam-6725	439	28	of	of	ADP
ejpam-6725	439	29	example	example	NOUN
ejpam-6725	439	30	4.2	4.2	NUM
ejpam-6725	439	31	for	for	ADP
ejpam-6725	439	32	our	our	PRON
ejpam-6725	439	33	presented	present	VERB
ejpam-6725	439	34	method	method	NOUN
ejpam-6725	439	35	with	with	ADP
ejpam-6725	439	36	m	m	PROPN
ejpam-6725	439	37	=	=	SYM
ejpam-6725	439	38	3	3	NUM
ejpam-6725	439	39	,	,	PUNCT
ejpam-6725	439	40	k	k	NOUN
ejpam-6725	440	1	=	=	SYM
ejpam-6725	440	2	2	2	NUM
ejpam-6725	440	3	and	and	CCONJ
ejpam-6725	440	4	absolute	absolute	ADJ
ejpam-6725	440	5	error	error	NOUN
ejpam-6725	440	6	for	for	ADP
ejpam-6725	440	7	tf	tf	PROPN
ejpam-6725	440	8	method	method	NOUN
ejpam-6725	441	1	[	[	X
ejpam-6725	441	2	25	25	NUM
ejpam-6725	441	3	]	]	PUNCT
ejpam-6725	441	4	and	and	CCONJ
ejpam-6725	441	5	absolute	absolute	ADJ
ejpam-6725	441	6	error	error	NOUN
ejpam-6725	441	7	for	for	ADP
ejpam-6725	441	8	adomian	adomian	NOUN
ejpam-6725	441	9	method	method	NOUN
ejpam-6725	441	10	in	in	ADP
ejpam-6725	441	11	[	[	X
ejpam-6725	441	12	12	12	NUM
ejpam-6725	441	13	]	]	PUNCT
ejpam-6725	441	14	t	t	PROPN
ejpam-6725	441	15	ae	ae	PROPN
ejpam-6725	441	16	for	for	ADP
ejpam-6725	441	17	tf	tf	PROPN
ejpam-6725	441	18	method	method	NOUN
ejpam-6725	441	19	[	[	X
ejpam-6725	441	20	25	25	NUM
ejpam-6725	441	21	]	]	X
ejpam-6725	441	22	ae	ae	PROPN
ejpam-6725	441	23	in	in	ADP
ejpam-6725	441	24	[	[	X
ejpam-6725	441	25	12	12	NUM
ejpam-6725	441	26	]	]	X
ejpam-6725	441	27	ae	ae	PROPN
ejpam-6725	441	28	for	for	ADP
ejpam-6725	441	29	our	our	PRON
ejpam-6725	441	30	presented	present	VERB
ejpam-6725	441	31	ae	ae	PROPN
ejpam-6725	441	32	in	in	ADP
ejpam-6725	441	33	[	[	X
ejpam-6725	441	34	12	12	NUM
ejpam-6725	441	35	]	]	X
ejpam-6725	441	36	ae	ae	PROPN
ejpam-6725	441	37	for	for	ADP
ejpam-6725	441	38	our	our	PRON
ejpam-6725	441	39	presented	present	VERB
ejpam-6725	441	40	results	result	NOUN
ejpam-6725	441	41	of	of	ADP
ejpam-6725	441	42	u1(t	u1(t	ADP
ejpam-6725	441	43	)	)	PUNCT
ejpam-6725	441	44	results	result	NOUN
ejpam-6725	441	45	of	of	ADP
ejpam-6725	441	46	u2(t	u2(t	NOUN
ejpam-6725	441	47	)	)	PUNCT
ejpam-6725	441	48	0	0	NUM
ejpam-6725	442	1	2.170e−	2.170e−	NUM
ejpam-6725	442	2	04	04	NUM
ejpam-6725	443	1	2.30e−	2.30e−	NUM
ejpam-6725	443	2	02	02	NUM
ejpam-6725	443	3	2.3893e−	2.3893e−	NUM
ejpam-6725	443	4	05	05	NUM
ejpam-6725	443	5	4.43e−	4.43e−	NOUN
ejpam-6725	443	6	02	02	NUM
ejpam-6725	443	7	1.5764e−	1.5764e−	NUM
ejpam-6725	443	8	05	05	NUM
ejpam-6725	443	9	0.1	0.1	NUM
ejpam-6725	443	10	2.170e−	2.170e−	NUM
ejpam-6725	443	11	04	04	NUM
ejpam-6725	443	12	2.30e−	2.30e−	NUM
ejpam-6725	443	13	02	02	NUM
ejpam-6725	443	14	2.1862e−	2.1862e−	NUM
ejpam-6725	443	15	05	05	NUM
ejpam-6725	443	16	4.43e−	4.43e−	NOUN
ejpam-6725	443	17	02	02	NUM
ejpam-6725	443	18	1.6205e−	1.6205e−	NOUN
ejpam-6725	443	19	05	05	NUM
ejpam-6725	443	20	0.2	0.2	NUM
ejpam-6725	443	21	2.170e−	2.170e−	NUM
ejpam-6725	443	22	04	04	NUM
ejpam-6725	443	23	2.30e−	2.30e−	NUM
ejpam-6725	443	24	02	02	NUM
ejpam-6725	443	25	1.9831e−	1.9831e−	NUM
ejpam-6725	443	26	05	05	NUM
ejpam-6725	443	27	4.43e−	4.43e−	NOUN
ejpam-6725	443	28	02	02	NUM
ejpam-6725	443	29	1.6408e−	1.6408e−	NUM
ejpam-6725	443	30	05	05	NUM
ejpam-6725	443	31	0.3	0.3	NUM
ejpam-6725	443	32	2.170e−	2.170e−	NUM
ejpam-6725	443	33	04	04	NUM
ejpam-6725	443	34	2.30e−	2.30e−	NUM
ejpam-6725	443	35	02	02	NUM
ejpam-6725	443	36	1.78e−	1.78e−	NUM
ejpam-6725	443	37	05	05	NUM
ejpam-6725	443	38	4.43e−	4.43e−	NOUN
ejpam-6725	443	39	02	02	NUM
ejpam-6725	443	40	1.6372e−	1.6372e−	NUM
ejpam-6725	443	41	05	05	NUM
ejpam-6725	443	42	0.4	0.4	NUM
ejpam-6725	443	43	2.170e−	2.170e−	NUM
ejpam-6725	443	44	04	04	NUM
ejpam-6725	444	1	2.30e−	2.30e−	NUM
ejpam-6725	444	2	02	02	NUM
ejpam-6725	444	3	1.577e−	1.577e−	NUM
ejpam-6725	444	4	05	05	NUM
ejpam-6725	444	5	4.43e−	4.43e−	NOUN
ejpam-6725	444	6	02	02	NUM
ejpam-6725	444	7	1.6098e−	1.6098e−	NOUN
ejpam-6725	444	8	05	05	NUM
ejpam-6725	444	9	0.5	0.5	NUM
ejpam-6725	444	10	2.170e−	2.170e−	NUM
ejpam-6725	444	11	04	04	NUM
ejpam-6725	444	12	2.30e−	2.30e−	NUM
ejpam-6725	444	13	02	02	NUM
ejpam-6725	444	14	1.9098e−	1.9098e−	NUM
ejpam-6725	444	15	05	05	NUM
ejpam-6725	444	16	4.43e−	4.43e−	NOUN
ejpam-6725	444	17	02	02	NUM
ejpam-6725	444	18	2.2738e−	2.2738e−	NUM
ejpam-6725	444	19	05	05	NUM
ejpam-6725	444	20	0.6	0.6	NUM
ejpam-6725	444	21	2.170e−	2.170e−	NUM
ejpam-6725	444	22	04	04	NUM
ejpam-6725	445	1	2.30e−	2.30e−	NUM
ejpam-6725	445	2	02	02	NUM
ejpam-6725	445	3	1.7067e−	1.7067e−	NUM
ejpam-6725	445	4	05	05	NUM
ejpam-6725	445	5	4.43e−	4.43e−	NOUN
ejpam-6725	445	6	02	02	NUM
ejpam-6725	445	7	2.0168e−	2.0168e−	NUM
ejpam-6725	445	8	05	05	NUM
ejpam-6725	446	1	0.7	0.7	NUM
ejpam-6725	446	2	2.170e−	2.170e−	NUM
ejpam-6725	446	3	04	04	NUM
ejpam-6725	446	4	2.30e−	2.30e−	NUM
ejpam-6725	446	5	02	02	NUM
ejpam-6725	446	6	1.5036e−	1.5036e−	NUM
ejpam-6725	446	7	05	05	NUM
ejpam-6725	446	8	4.43e−	4.43e−	NOUN
ejpam-6725	446	9	02	02	NUM
ejpam-6725	446	10	1.736e−	1.736e−	NUM
ejpam-6725	446	11	05	05	NUM
ejpam-6725	446	12	0.8	0.8	NUM
ejpam-6725	446	13	2.170e−	2.170e−	NUM
ejpam-6725	446	14	04	04	NUM
ejpam-6725	446	15	2.30e−	2.30e−	NUM
ejpam-6725	446	16	02	02	NUM
ejpam-6725	446	17	1.3005e−	1.3005e−	NUM
ejpam-6725	446	18	05	05	NUM
ejpam-6725	446	19	4.43e−	4.43e−	NOUN
ejpam-6725	446	20	02	02	NUM
ejpam-6725	446	21	1.4314e−	1.4314e−	NUM
ejpam-6725	446	22	05	05	NUM
ejpam-6725	446	23	0.9	0.9	NUM
ejpam-6725	446	24	2.170e−	2.170e−	NUM
ejpam-6725	446	25	04	04	NUM
ejpam-6725	446	26	2.30e−	2.30e−	NUM
ejpam-6725	446	27	02	02	NUM
ejpam-6725	446	28	1.0975e−	1.0975e−	NUM
ejpam-6725	446	29	05	05	NUM
ejpam-6725	446	30	4.43e−	4.43e−	NOUN
ejpam-6725	446	31	02	02	NUM
ejpam-6725	446	32	1.103e−	1.103e−	NUM
ejpam-6725	446	33	05	05	NUM
ejpam-6725	446	34	ψ(t	ψ(t	PROPN
ejpam-6725	446	35	)	)	PUNCT
ejpam-6725	446	36	=	=	SYM
ejpam-6725	446	37			NUM
ejpam-6725	446	38			PUNCT
ejpam-6725	446	39	ψ1,0	ψ1,0	NOUN
ejpam-6725	446	40	=	=	PUNCT
ejpam-6725	446	41	√	√	ADP
ejpam-6725	446	42	2	2	NUM
ejpam-6725	446	43	ψ1,1	ψ1,1	NOUN
ejpam-6725	446	44	=	=	PUNCT
ejpam-6725	446	45	√	√	ADJ
ejpam-6725	446	46	6(4t−	6(4t−	NUM
ejpam-6725	446	47	1	1	NUM
ejpam-6725	446	48	)	)	PUNCT
ejpam-6725	446	49	ψ1,2	ψ1,2	NOUN
ejpam-6725	446	50	=	=	PUNCT
ejpam-6725	447	1	√	√	NUM
ejpam-6725	447	2	10	10	NUM
ejpam-6725	447	3	(	(	PUNCT
ejpam-6725	447	4	3	3	NUM
ejpam-6725	447	5	2(4t−	2(4t−	NUM
ejpam-6725	447	6	1)2	1)2	NUM
ejpam-6725	447	7	−	−	NOUN
ejpam-6725	447	8	1	1	NUM
ejpam-6725	447	9	2	2	NUM
ejpam-6725	447	10	)	)	PUNCT
ejpam-6725	448	1			NOUN
ejpam-6725	448	2	,	,	PUNCT
ejpam-6725	448	3	0	0	NUM
ejpam-6725	448	4	≤	≤	NUM
ejpam-6725	448	5	t	t	NOUN
ejpam-6725	448	6	<	<	X
ejpam-6725	448	7	1	1	NUM
ejpam-6725	448	8	2	2	NUM
ejpam-6725	448	9	,	,	PUNCT
ejpam-6725	448	10			PUNCT
ejpam-6725	448	11	ψ2,0	ψ2,0	NOUN
ejpam-6725	448	12	=	=	SYM
ejpam-6725	448	13	√	√	ADP
ejpam-6725	448	14	2	2	NUM
ejpam-6725	448	15	ψ2,1	ψ2,1	NOUN
ejpam-6725	448	16	=	=	PUNCT
ejpam-6725	448	17	√	√	NOUN
ejpam-6725	448	18	6(4t−	6(4t−	NUM
ejpam-6725	448	19	3	3	NUM
ejpam-6725	448	20	)	)	PUNCT
ejpam-6725	448	21	ψ2,2	ψ2,2	NOUN
ejpam-6725	449	1	=	=	NOUN
ejpam-6725	450	1	√	√	NUM
ejpam-6725	450	2	10	10	NUM
ejpam-6725	450	3	(	(	PUNCT
ejpam-6725	450	4	3	3	NUM
ejpam-6725	450	5	2(4t−	2(4t−	NUM
ejpam-6725	450	6	3)2	3)2	NUM
ejpam-6725	450	7	−	−	NUM
ejpam-6725	450	8	1	1	NUM
ejpam-6725	450	9	2	2	NUM
ejpam-6725	450	10	)	)	PUNCT
ejpam-6725	450	11			NOUN
ejpam-6725	450	12	,	,	PUNCT
ejpam-6725	450	13	12	12	NUM
ejpam-6725	450	14	≤	≤	NOUN
ejpam-6725	450	15	t	t	X
ejpam-6725	450	16	<	<	X
ejpam-6725	450	17	1	1	NUM
ejpam-6725	450	18	.	.	PUNCT
ejpam-6725	451	1	likewise	likewise	ADV
ejpam-6725	451	2	,	,	PUNCT
ejpam-6725	451	3	k1(s	k1(s	PROPN
ejpam-6725	451	4	,	,	PUNCT
ejpam-6725	451	5	t	t	PROPN
ejpam-6725	451	6	)	)	PUNCT
ejpam-6725	451	7	=	=	PUNCT
ejpam-6725	451	8	(	(	PUNCT
ejpam-6725	451	9	t−	t−	PROPN
ejpam-6725	451	10	s	s	PART
ejpam-6725	451	11	)	)	PUNCT
ejpam-6725	451	12	,	,	PUNCT
ejpam-6725	451	13	k2(s	k2(s	PROPN
ejpam-6725	451	14	,	,	PUNCT
ejpam-6725	451	15	t	t	PROPN
ejpam-6725	451	16	)	)	PUNCT
ejpam-6725	451	17	=	=	SYM
ejpam-6725	452	1	ts	ts	PROPN
ejpam-6725	452	2	,	,	PUNCT
ejpam-6725	452	3	k3(s	k3(s	PROPN
ejpam-6725	452	4	,	,	PUNCT
ejpam-6725	452	5	t	t	PROPN
ejpam-6725	452	6	)	)	PUNCT
ejpam-6725	452	7	=	=	SYM
ejpam-6725	452	8	(	(	PUNCT
ejpam-6725	452	9	t2	t2	NOUN
ejpam-6725	452	10	+	+	CCONJ
ejpam-6725	452	11	2s	2s	PROPN
ejpam-6725	452	12	)	)	PUNCT
ejpam-6725	453	1	k4(s	k4(s	PROPN
ejpam-6725	453	2	,	,	PUNCT
ejpam-6725	453	3	t	t	PROPN
ejpam-6725	453	4	)	)	PUNCT
ejpam-6725	453	5	=	=	SYM
ejpam-6725	453	6	(	(	PUNCT
ejpam-6725	453	7	s+	s+	PROPN
ejpam-6725	453	8	t	t	PROPN
ejpam-6725	453	9	)	)	PUNCT
ejpam-6725	453	10	,	,	PUNCT
ejpam-6725	453	11	f(t	f(t	PROPN
ejpam-6725	453	12	)	)	PUNCT
ejpam-6725	453	13	=	=	SYM
ejpam-6725	453	14	sin(t)−	sin(t)−	PROPN
ejpam-6725	453	15	cos(1	cos(1	PROPN
ejpam-6725	453	16	)	)	PUNCT
ejpam-6725	454	1	+	+	CCONJ
ejpam-6725	454	2	sin(1)−	sin(1)−	PROPN
ejpam-6725	454	3	t	t	NOUN
ejpam-6725	454	4	sin(1	sin(1	NOUN
ejpam-6725	454	5	)	)	PUNCT
ejpam-6725	454	6	g(t	g(t	PROPN
ejpam-6725	454	7	)	)	PUNCT
ejpam-6725	455	1	=	=	SYM
ejpam-6725	455	2	cos(t)−	cos(t)−	PROPN
ejpam-6725	455	3	(	(	PUNCT
ejpam-6725	455	4	1−	1−	NUM
ejpam-6725	455	5	cos(1))t2	cos(1))t2	NUM
ejpam-6725	455	6	+	+	CCONJ
ejpam-6725	455	7	cos(1)−	cos(1)−	NOUN
ejpam-6725	455	8	3	3	NUM
ejpam-6725	455	9	sin(1)−	sin(1)−	NOUN
ejpam-6725	455	10	t	t	NOUN
ejpam-6725	455	11	sin(1	sin(1	NOUN
ejpam-6725	455	12	)	)	PUNCT
ejpam-6725	456	1	+	+	CCONJ
ejpam-6725	456	2	1	1	NUM
ejpam-6725	456	3	,	,	PUNCT
ejpam-6725	456	4	are	be	AUX
ejpam-6725	456	5	also	also	ADV
ejpam-6725	456	6	expanded	expand	VERB
ejpam-6725	456	7	into	into	ADP
ejpam-6725	456	8	the	the	DET
ejpam-6725	456	9	lwm	lwm	NOUN
ejpam-6725	456	10	as	as	ADP
ejpam-6725	456	11	:	:	PUNCT
ejpam-6725	456	12	k1(s	k1(s	PROPN
ejpam-6725	456	13	,	,	PUNCT
ejpam-6725	456	14	t	t	PROPN
ejpam-6725	456	15	)	)	PUNCT
ejpam-6725	457	1	≈	≈	PROPN
ejpam-6725	457	2	ψt	ψt	PRON
ejpam-6725	457	3	(	(	PUNCT
ejpam-6725	457	4	s)k1ψ(t	s)k1ψ(t	PROPN
ejpam-6725	457	5	)	)	PUNCT
ejpam-6725	457	6	,	,	PUNCT
ejpam-6725	457	7	k2(s	k2(s	PROPN
ejpam-6725	457	8	,	,	PUNCT
ejpam-6725	457	9	t	t	PROPN
ejpam-6725	457	10	)	)	PUNCT
ejpam-6725	458	1	≈	≈	PROPN
ejpam-6725	458	2	ψt	ψt	NOUN
ejpam-6725	458	3	(	(	PUNCT
ejpam-6725	458	4	s)k2ψ(t	s)k2ψ(t	PROPN
ejpam-6725	458	5	)	)	PUNCT
ejpam-6725	458	6	k3(s	k3(s	PROPN
ejpam-6725	458	7	,	,	PUNCT
ejpam-6725	458	8	t	t	PROPN
ejpam-6725	458	9	)	)	PUNCT
ejpam-6725	459	1	≈	≈	PROPN
ejpam-6725	459	2	ψt	ψt	NOUN
ejpam-6725	459	3	(	(	PUNCT
ejpam-6725	459	4	s)k3ψ(t	s)k3ψ(t	PROPN
ejpam-6725	459	5	)	)	PUNCT
ejpam-6725	459	6	,	,	PUNCT
ejpam-6725	459	7	k4(s	k4(s	PROPN
ejpam-6725	459	8	,	,	PUNCT
ejpam-6725	459	9	t	t	PROPN
ejpam-6725	459	10	)	)	PUNCT
ejpam-6725	460	1	≈	≈	PROPN
ejpam-6725	460	2	ψt	ψt	NUM
ejpam-6725	460	3	(	(	PUNCT
ejpam-6725	460	4	s)k4ψ(t	s)k4ψ(t	PROPN
ejpam-6725	460	5	)	)	PUNCT
ejpam-6725	460	6	f(t	f(t	PROPN
ejpam-6725	460	7	)	)	PUNCT
ejpam-6725	461	1	≈	≈	PROPN
ejpam-6725	461	2	f	f	PROPN
ejpam-6725	461	3	tψ(t	tψ(t	NUM
ejpam-6725	461	4	)	)	PUNCT
ejpam-6725	461	5	,	,	PUNCT
ejpam-6725	461	6	g(t	g(t	PROPN
ejpam-6725	461	7	)	)	PUNCT
ejpam-6725	461	8	≈	≈	PROPN
ejpam-6725	461	9	gtψ(t	gtψ(t	PROPN
ejpam-6725	461	10	)	)	PUNCT
ejpam-6725	461	11	(	(	PUNCT
ejpam-6725	461	12	4.15	4.15	NUM
ejpam-6725	461	13	)	)	PUNCT
ejpam-6725	461	14	after	after	ADP
ejpam-6725	461	15	substituting	substitute	VERB
ejpam-6725	461	16	(	(	PUNCT
ejpam-6725	461	17	4.14	4.14	NUM
ejpam-6725	461	18	)	)	PUNCT
ejpam-6725	461	19	,	,	PUNCT
ejpam-6725	461	20	(	(	PUNCT
ejpam-6725	461	21	4.15	4.15	NUM
ejpam-6725	461	22	)	)	PUNCT
ejpam-6725	461	23	into	into	ADP
ejpam-6725	461	24	(	(	PUNCT
ejpam-6725	461	25	4.13	4.13	NUM
ejpam-6725	461	26	)	)	PUNCT
ejpam-6725	461	27	we	we	PRON
ejpam-6725	461	28	get	get	VERB
ejpam-6725	461	29	,	,	PUNCT
ejpam-6725	461	30	ψt	ψt	NOUN
ejpam-6725	461	31	(	(	PUNCT
ejpam-6725	461	32	t)c1	t)c1	PROPN
ejpam-6725	461	33	=	=	SYM
ejpam-6725	461	34	f	f	PROPN
ejpam-6725	461	35	tψ(t	tψ(t	X
ejpam-6725	461	36	)	)	PUNCT
ejpam-6725	462	1	+	+	CCONJ
ejpam-6725	462	2	[	[	PUNCT
ejpam-6725	462	3	ψt	ψt	NUM
ejpam-6725	462	4	(	(	PUNCT
ejpam-6725	462	5	t)k1c1	t)k1c1	NOUN
ejpam-6725	462	6	+	+	X
ejpam-6725	462	7	ψt	ψt	ADJ
ejpam-6725	462	8	(	(	PUNCT
ejpam-6725	462	9	t)k2c2	t)k2c2	NUM
ejpam-6725	462	10	]	]	PUNCT
ejpam-6725	462	11	ψt	ψt	PROPN
ejpam-6725	462	12	(	(	PUNCT
ejpam-6725	462	13	t)c2	t)c2	PROPN
ejpam-6725	462	14	=	=	SYM
ejpam-6725	462	15	gtψ(t	gtψ(t	PROPN
ejpam-6725	462	16	)	)	PUNCT
ejpam-6725	462	17	+	+	CCONJ
ejpam-6725	462	18	[	[	PUNCT
ejpam-6725	462	19	ψt	ψt	X
ejpam-6725	462	20	(	(	PUNCT
ejpam-6725	462	21	t)k3c1	t)k3c1	NOUN
ejpam-6725	462	22	+	+	NOUN
ejpam-6725	462	23	ψt	ψt	VERB
ejpam-6725	462	24	(	(	PUNCT
ejpam-6725	462	25	t)k4c2	t)k4c2	X
ejpam-6725	462	26	]	]	X
ejpam-6725	462	27	(	(	PUNCT
ejpam-6725	462	28	4.16	4.16	NUM
ejpam-6725	462	29	)	)	PUNCT
ejpam-6725	462	30	which	which	PRON
ejpam-6725	462	31	can	can	AUX
ejpam-6725	462	32	be	be	AUX
ejpam-6725	462	33	written	write	VERB
ejpam-6725	462	34	in	in	ADP
ejpam-6725	462	35	the	the	DET
ejpam-6725	462	36	coupled	couple	VERB
ejpam-6725	462	37	system	system	NOUN
ejpam-6725	462	38	of	of	ADP
ejpam-6725	462	39	matrix	matrix	NOUN
ejpam-6725	462	40	equations	equation	NOUN
ejpam-6725	462	41	,	,	PUNCT
ejpam-6725	462	42	(	(	PUNCT
ejpam-6725	462	43	i	i	PRON
ejpam-6725	462	44	−k1)c1	−k1)c1	VERB
ejpam-6725	462	45	−k2c2	−k2c2	PROPN
ejpam-6725	462	46	=	=	SYM
ejpam-6725	462	47	f	f	PROPN
ejpam-6725	462	48	and	and	CCONJ
ejpam-6725	462	49	(	(	PUNCT
ejpam-6725	462	50	i	i	PRON
ejpam-6725	462	51	−k3)c2	−k3)c2	VERB
ejpam-6725	462	52	−k4c1	−k4c1	VERB
ejpam-6725	462	53	=	=	PUNCT
ejpam-6725	462	54	g.	g.	PROPN
ejpam-6725	462	55	(	(	PUNCT
ejpam-6725	462	56	4.17	4.17	NUM
ejpam-6725	462	57	)	)	PUNCT
ejpam-6725	462	58	we	we	PRON
ejpam-6725	462	59	can	can	AUX
ejpam-6725	462	60	write	write	VERB
ejpam-6725	462	61	(	(	PUNCT
ejpam-6725	462	62	4.3.5	4.3.5	NOUN
ejpam-6725	462	63	)	)	PUNCT
ejpam-6725	462	64	further	far	ADV
ejpam-6725	462	65	in	in	ADP
ejpam-6725	462	66	the	the	DET
ejpam-6725	462	67	form	form	NOUN
ejpam-6725	462	68	,	,	PUNCT
ejpam-6725	462	69	a1c1	a1c1	PUNCT
ejpam-6725	462	70	+	+	NOUN
ejpam-6725	462	71	b1c2	b1c2	NOUN
ejpam-6725	462	72	=	=	SYM
ejpam-6725	462	73	f	f	PROPN
ejpam-6725	462	74	and	and	CCONJ
ejpam-6725	462	75	a2c1	a2c1	PROPN
ejpam-6725	462	76	+	+	NOUN
ejpam-6725	462	77	b2c2	b2c2	PROPN
ejpam-6725	462	78	=	=	PUNCT
ejpam-6725	462	79	g	g	NOUN
ejpam-6725	462	80	,	,	PUNCT
ejpam-6725	462	81	(	(	PUNCT
ejpam-6725	462	82	4.18	4.18	NUM
ejpam-6725	462	83	)	)	PUNCT
ejpam-6725	462	84	m.	m.	NOUN
ejpam-6725	462	85	a.	a.	PROPN
ejpam-6725	462	86	ramadan	ramadan	PROPN
ejpam-6725	462	87	et	et	PROPN
ejpam-6725	462	88	al	al	PROPN
ejpam-6725	462	89	.	.	PUNCT
ejpam-6725	462	90	/	/	SYM
ejpam-6725	462	91	eur	eur	PROPN
ejpam-6725	462	92	.	.	PUNCT
ejpam-6725	463	1	j.	j.	PROPN
ejpam-6725	463	2	pure	pure	PROPN
ejpam-6725	463	3	appl	appl	PROPN
ejpam-6725	463	4	.	.	PROPN
ejpam-6725	463	5	math	math	PROPN
ejpam-6725	463	6	,	,	PUNCT
ejpam-6725	463	7	18	18	NUM
ejpam-6725	463	8	(	(	PUNCT
ejpam-6725	463	9	4	4	NUM
ejpam-6725	463	10	)	)	PUNCT
ejpam-6725	463	11	(	(	PUNCT
ejpam-6725	463	12	2025	2025	NUM
ejpam-6725	463	13	)	)	PUNCT
ejpam-6725	463	14	,	,	PUNCT
ejpam-6725	463	15	6725	6725	NUM
ejpam-6725	463	16	15	15	NUM
ejpam-6725	463	17	of	of	ADP
ejpam-6725	463	18	18	18	NUM
ejpam-6725	463	19	where	where	SCONJ
ejpam-6725	463	20	,	,	PUNCT
ejpam-6725	463	21	a1	a1	NOUN
ejpam-6725	463	22	=	=	NOUN
ejpam-6725	464	1	i	i	NOUN
ejpam-6725	464	2	−k1	−k1	NOUN
ejpam-6725	464	3	=	=	PUNCT
ejpam-6725	464	4			NOUN
ejpam-6725	464	5	1	1	NUM
ejpam-6725	464	6	0.072169	0.072169	NUM
ejpam-6725	464	7	0	0	NUM
ejpam-6725	465	1	0.25	0.25	NUM
ejpam-6725	465	2	0.0721690	0.0721690	NUM
ejpam-6725	465	3	0	0	SYM
ejpam-6725	465	4	−0.072169	−0.072169	SYM
ejpam-6725	465	5	1	1	NUM
ejpam-6725	465	6	0	0	NUM
ejpam-6725	465	7	−0.072169	−0.072169	SYM
ejpam-6725	465	8	0	0	NUM
ejpam-6725	465	9	0	0	NUM
ejpam-6725	465	10	0	0	NUM
ejpam-6725	465	11	0	0	NUM
ejpam-6725	465	12	1	1	NUM
ejpam-6725	465	13	0	0	NUM
ejpam-6725	465	14	0	0	NUM
ejpam-6725	465	15	0	0	NUM
ejpam-6725	466	1	−0.25	−0.25	ADP
ejpam-6725	466	2	0.072169	0.072169	NUM
ejpam-6725	466	3	0	0	NUM
ejpam-6725	466	4	1	1	NUM
ejpam-6725	466	5	0.072169	0.072169	NUM
ejpam-6725	466	6	0	0	NUM
ejpam-6725	466	7	−0.072169	−0.072169	SYM
ejpam-6725	466	8	0	0	NUM
ejpam-6725	466	9	0	0	NUM
ejpam-6725	466	10	−0.072169	−0.072169	SYM
ejpam-6725	466	11	1	1	NUM
ejpam-6725	466	12	0	0	NUM
ejpam-6725	466	13	0	0	NUM
ejpam-6725	466	14	0	0	NUM
ejpam-6725	466	15	0	0	NUM
ejpam-6725	466	16	0	0	NUM
ejpam-6725	466	17	0	0	NUM
ejpam-6725	466	18	1	1	NUM
ejpam-6725	466	19			PROPN
ejpam-6725	466	20	,	,	PUNCT
ejpam-6725	466	21	b1	b1	NOUN
ejpam-6725	466	22	=	=	SYM
ejpam-6725	466	23	−k2	−k2	PROPN
ejpam-6725	466	24	=	=	PUNCT
ejpam-6725	466	25			NOUN
ejpam-6725	466	26	−0.03125	−0.03125	CCONJ
ejpam-6725	466	27	−0.018042	−0.018042	X
ejpam-6725	466	28	0	0	PUNCT
ejpam-6725	466	29	−0.09375	−0.09375	X
ejpam-6725	466	30	−0.018042	−0.018042	X
ejpam-6725	466	31	0	0	NUM
ejpam-6725	466	32	−0.018042	−0.018042	X
ejpam-6725	467	1	−0.010417	−0.010417	NUM
ejpam-6725	467	2	0	0	NUM
ejpam-6725	468	1	−0.054127	−0.054127	NOUN
ejpam-6725	468	2	−0.010417	−0.010417	NUM
ejpam-6725	468	3	0	0	NUM
ejpam-6725	468	4	0	0	NUM
ejpam-6725	468	5	0	0	NUM
ejpam-6725	468	6	0	0	NUM
ejpam-6725	468	7	0	0	NUM
ejpam-6725	468	8	0	0	NUM
ejpam-6725	468	9	0	0	NUM
ejpam-6725	468	10	−0.09375	−0.09375	NOUN
ejpam-6725	468	11	−0.054127	−0.054127	NOUN
ejpam-6725	468	12	0	0	PUNCT
ejpam-6725	469	1	−0.28125	−0.28125	X
ejpam-6725	469	2	−0.054127	−0.054127	NOUN
ejpam-6725	469	3	0	0	PUNCT
ejpam-6725	469	4	−0.018042	−0.018042	X
ejpam-6725	470	1	−0.010417	−0.010417	NUM
ejpam-6725	470	2	0	0	NUM
ejpam-6725	471	1	−0.054127	−0.054127	NOUN
ejpam-6725	471	2	−0.010417	−0.010417	NUM
ejpam-6725	471	3	0	0	NUM
ejpam-6725	471	4	0	0	NUM
ejpam-6725	471	5	0	0	NUM
ejpam-6725	471	6	0	0	NUM
ejpam-6725	471	7	0	0	NUM
ejpam-6725	471	8	0	0	NUM
ejpam-6725	471	9	0	0	NUM
ejpam-6725	471	10			PROPN
ejpam-6725	471	11	,	,	PUNCT
ejpam-6725	471	12	a2	a2	PROPN
ejpam-6725	471	13	=	=	PUNCT
ejpam-6725	471	14	−k4	−k4	X
ejpam-6725	471	15	=	=	PUNCT
ejpam-6725	471	16			VERB
ejpam-6725	471	17	−0.29167	−0.29167	X
ejpam-6725	471	18	−0.14434	−0.14434	NOUN
ejpam-6725	471	19	0	0	NUM
ejpam-6725	471	20	−0.79167	−0.79167	NOUN
ejpam-6725	472	1	−0.14434	−0.14434	ADJ
ejpam-6725	472	2	0	0	SYM
ejpam-6725	472	3	−0.036084	−0.036084	NUM
ejpam-6725	472	4	0	0	NUM
ejpam-6725	472	5	0	0	SYM
ejpam-6725	473	1	−0.036084	−0.036084	NUM
ejpam-6725	473	2	0	0	NUM
ejpam-6725	473	3	0	0	NUM
ejpam-6725	473	4	−0.0093169	−0.0093169	NOUN
ejpam-6725	473	5	0	0	NUM
ejpam-6725	473	6	0	0	NUM
ejpam-6725	473	7	−0.0093169	−0.0093169	NOUN
ejpam-6725	473	8	0	0	NUM
ejpam-6725	473	9	0	0	NUM
ejpam-6725	473	10	−0.54167	−0.54167	NOUN
ejpam-6725	473	11	−0.14434	−0.14434	NOUN
ejpam-6725	473	12	0	0	NUM
ejpam-6725	474	1	−1.0417	−1.0417	ADJ
ejpam-6725	474	2	−0.14434	−0.14434	NOUN
ejpam-6725	474	3	0	0	NUM
ejpam-6725	474	4	−0.10825	−0.10825	X
ejpam-6725	474	5	0	0	NUM
ejpam-6725	474	6	0	0	NUM
ejpam-6725	474	7	−0.10825	−0.10825	NOUN
ejpam-6725	474	8	0	0	NUM
ejpam-6725	474	9	0	0	NUM
ejpam-6725	474	10	−0.0093169	−0.0093169	NOUN
ejpam-6725	474	11	0	0	NUM
ejpam-6725	474	12	0	0	NUM
ejpam-6725	474	13	−0.0093169	−0.0093169	NOUN
ejpam-6725	474	14	0	0	NUM
ejpam-6725	474	15	0	0	NUM
ejpam-6725	474	16			PROPN
ejpam-6725	474	17	,	,	PUNCT
ejpam-6725	474	18	b2	b2	NOUN
ejpam-6725	474	19	=	=	NOUN
ejpam-6725	475	1	i	i	PRON
ejpam-6725	475	2	−k3	−k3	NOUN
ejpam-6725	475	3	=	=	PUNCT
ejpam-6725	475	4			VERB
ejpam-6725	476	1	0.75	0.75	NUM
ejpam-6725	476	2	−0.072169	−0.072169	SYM
ejpam-6725	476	3	0	0	PUNCT
ejpam-6725	476	4	−0.5	−0.5	NOUN
ejpam-6725	476	5	−0.072169	−0.072169	SYM
ejpam-6725	476	6	0	0	NUM
ejpam-6725	476	7	−0.072169	−0.072169	SYM
ejpam-6725	476	8	1	1	NUM
ejpam-6725	476	9	0	0	NUM
ejpam-6725	476	10	−0.072169	−0.072169	SYM
ejpam-6725	476	11	0	0	NUM
ejpam-6725	476	12	0	0	NUM
ejpam-6725	476	13	0	0	NUM
ejpam-6725	476	14	0	0	NUM
ejpam-6725	476	15	1	1	NUM
ejpam-6725	476	16	0	0	NUM
ejpam-6725	476	17	0	0	NUM
ejpam-6725	476	18	0	0	NUM
ejpam-6725	476	19	−0.5	−0.5	NOUN
ejpam-6725	476	20	−0.072169	−0.072169	SYM
ejpam-6725	476	21	0	0	NUM
ejpam-6725	476	22	0.25	0.25	NUM
ejpam-6725	476	23	−0.072169	−0.072169	NUM
ejpam-6725	476	24	0	0	NUM
ejpam-6725	476	25	−0.072169	−0.072169	SYM
ejpam-6725	476	26	0	0	NUM
ejpam-6725	476	27	0	0	NUM
ejpam-6725	476	28	−0.072169	−0.072169	SYM
ejpam-6725	476	29	1	1	NUM
ejpam-6725	476	30	0	0	NUM
ejpam-6725	476	31	0	0	NUM
ejpam-6725	476	32	0	0	NUM
ejpam-6725	476	33	0	0	NUM
ejpam-6725	476	34	0	0	NUM
ejpam-6725	476	35	0	0	NUM
ejpam-6725	476	36	1	1	NUM
ejpam-6725	476	37			PROPN
ejpam-6725	476	38	,	,	PUNCT
ejpam-6725	476	39	f	f	PROPN
ejpam-6725	476	40	=	=	PUNCT
ejpam-6725	477	1	[	[	PUNCT
ejpam-6725	477	2	0.23733	0.23733	NUM
ejpam-6725	477	3	0.01239	0.01239	NUM
ejpam-6725	477	4	−0.0016227	−0.0016227	NUM
ejpam-6725	477	5	0.24369	0.24369	NUM
ejpam-6725	477	6	−0.01167	−0.01167	NOUN
ejpam-6725	477	7	−0.0044707	−0.0044707	NOUN
ejpam-6725	477	8	]	]	X
ejpam-6725	477	9	t	t	NOUN
ejpam-6725	477	10	,	,	PUNCT
ejpam-6725	477	11	g	g	PROPN
ejpam-6725	477	12	=	=	PUNCT
ejpam-6725	477	13	[	[	PUNCT
ejpam-6725	477	14	−0.1937	−0.1937	X
ejpam-6725	477	15	−0.13443	−0.13443	NUM
ejpam-6725	477	16	−0.012412	−0.012412	X
ejpam-6725	477	17	−0.81973	−0.81973	X
ejpam-6725	477	18	−0.22539	−0.22539	X
ejpam-6725	478	1	−0.010856	−0.010856	NUM
ejpam-6725	478	2	]	]	X
ejpam-6725	478	3	t	t	X
ejpam-6725	478	4	.	.	PUNCT
ejpam-6725	479	1	using	use	VERB
ejpam-6725	479	2	our	our	PRON
ejpam-6725	479	3	proposed	propose	VERB
ejpam-6725	479	4	finite	finite	ADJ
ejpam-6725	479	5	iterative	iterative	NOUN
ejpam-6725	479	6	algorithm	algorithm	NOUN
ejpam-6725	479	7	2.1	2.1	NUM
ejpam-6725	479	8	to	to	PART
ejpam-6725	479	9	solve	solve	VERB
ejpam-6725	479	10	the	the	DET
ejpam-6725	479	11	coupled	couple	VERB
ejpam-6725	479	12	matrix	matrix	NOUN
ejpam-6725	479	13	system	system	NOUN
ejpam-6725	479	14	given	give	VERB
ejpam-6725	479	15	in	in	ADP
ejpam-6725	479	16	equation	equation	NOUN
ejpam-6725	479	17	(	(	PUNCT
ejpam-6725	479	18	4.18	4.18	NUM
ejpam-6725	479	19	)	)	PUNCT
ejpam-6725	479	20	,	,	PUNCT
ejpam-6725	479	21	we	we	PRON
ejpam-6725	479	22	obtain	obtain	VERB
ejpam-6725	479	23	the	the	DET
ejpam-6725	479	24	coefficient	coefficient	NOUN
ejpam-6725	479	25	vectors	vector	NOUN
ejpam-6725	479	26	c1	c1	NOUN
ejpam-6725	479	27	=	=	PUNCT
ejpam-6725	480	1	[	[	X
ejpam-6725	480	2	0.1731	0.1731	NUM
ejpam-6725	480	3	,	,	PUNCT
ejpam-6725	480	4	0.0983,−0.0016	0.0983,−0.0016	NUM
ejpam-6725	480	5	,	,	PUNCT
ejpam-6725	480	6	0.477	0.477	NUM
ejpam-6725	480	7	,	,	PUNCT
ejpam-6725	480	8	0.0742,−0.0045]t	0.0742,−0.0045]t	NUM
ejpam-6725	480	9	,	,	PUNCT
ejpam-6725	480	10	and	and	CCONJ
ejpam-6725	480	11	c2	c2	PROPN
ejpam-6725	480	12	=	=	PUNCT
ejpam-6725	481	1	[	[	X
ejpam-6725	481	2	0.678,−0.0251,−0.0064	0.678,−0.0251,−0.0064	NUM
ejpam-6725	481	3	,	,	PUNCT
ejpam-6725	481	4	0.512,−0.0691,−0.0048]t	0.512,−0.0691,−0.0048]t	PROPN
ejpam-6725	481	5	.	.	PUNCT
ejpam-6725	482	1	substituting	substitute	VERB
ejpam-6725	482	2	these	these	DET
ejpam-6725	482	3	coefficient	coefficient	NOUN
ejpam-6725	482	4	vectors	vector	NOUN
ejpam-6725	482	5	into	into	ADP
ejpam-6725	482	6	coupled	couple	VERB
ejpam-6725	482	7	system	system	NOUN
ejpam-6725	482	8	of	of	ADP
ejpam-6725	482	9	equations	equation	NOUN
ejpam-6725	482	10	(	(	PUNCT
ejpam-6725	482	11	4.18	4.18	NUM
ejpam-6725	482	12	)	)	PUNCT
ejpam-6725	482	13	provides	provide	VERB
ejpam-6725	482	14	the	the	DET
ejpam-6725	482	15	approximate	approximate	ADJ
ejpam-6725	482	16	solutions	solution	NOUN
ejpam-6725	482	17	at	at	ADP
ejpam-6725	482	18	the	the	DET
ejpam-6725	482	19	corresponding	corresponding	ADJ
ejpam-6725	482	20	time	time	NOUN
ejpam-6725	482	21	points	point	NOUN
ejpam-6725	482	22	,	,	PUNCT
ejpam-6725	482	23	as	as	SCONJ
ejpam-6725	482	24	shown	show	VERB
ejpam-6725	482	25	in	in	ADP
ejpam-6725	482	26	table	table	NOUN
ejpam-6725	482	27	8	8	NUM
ejpam-6725	482	28	table	table	NOUN
ejpam-6725	482	29	8	8	NUM
ejpam-6725	482	30	:	:	PUNCT
ejpam-6725	482	31	the	the	DET
ejpam-6725	482	32	numerical	numerical	ADJ
ejpam-6725	482	33	results	result	NOUN
ejpam-6725	482	34	for	for	ADP
ejpam-6725	482	35	example	example	NOUN
ejpam-6725	482	36	3	3	NUM
ejpam-6725	482	37	with	with	ADP
ejpam-6725	482	38	proposed	propose	VERB
ejpam-6725	482	39	legendre	legendre	PROPN
ejpam-6725	482	40	wavelets	wavelet	NOUN
ejpam-6725	482	41	for	for	ADP
ejpam-6725	482	42	m	m	PROPN
ejpam-6725	482	43	=	=	SYM
ejpam-6725	482	44	3	3	NUM
ejpam-6725	482	45	,	,	PUNCT
ejpam-6725	482	46	k	k	NOUN
ejpam-6725	482	47	=	=	SYM
ejpam-6725	482	48	2	2	NUM
ejpam-6725	482	49	t	t	NOUN
ejpam-6725	482	50	exact	exact	ADJ
ejpam-6725	482	51	solution	solution	NOUN
ejpam-6725	482	52	(	(	PUNCT
ejpam-6725	482	53	u1(t	u1(t	PROPN
ejpam-6725	482	54	)	)	PUNCT
ejpam-6725	482	55	,	,	PUNCT
ejpam-6725	482	56	u2(t	u2(t	NOUN
ejpam-6725	482	57	)	)	PUNCT
ejpam-6725	482	58	)	)	PUNCT
ejpam-6725	482	59	presented	present	VERB
ejpam-6725	482	60	method	method	NOUN
ejpam-6725	482	61	(	(	PUNCT
ejpam-6725	482	62	u1(t	u1(t	PROPN
ejpam-6725	482	63	)	)	PUNCT
ejpam-6725	482	64	,	,	PUNCT
ejpam-6725	482	65	u2(t	u2(t	NOUN
ejpam-6725	482	66	)	)	PUNCT
ejpam-6725	482	67	)	)	PUNCT
ejpam-6725	482	68	absolute	absolute	ADJ
ejpam-6725	482	69	error	error	NOUN
ejpam-6725	482	70	(	(	PUNCT
ejpam-6725	482	71	u1(t	u1(t	PROPN
ejpam-6725	482	72	)	)	PUNCT
ejpam-6725	482	73	,	,	PUNCT
ejpam-6725	482	74	u2(t	u2(t	NOUN
ejpam-6725	482	75	)	)	PUNCT
ejpam-6725	482	76	)	)	PUNCT
ejpam-6725	482	77	0	0	NUM
ejpam-6725	482	78	0	0	NUM
ejpam-6725	482	79	1.0	1.0	NUM
ejpam-6725	482	80	-0.001044118325073061	-0.001044118325073061	NOUN
ejpam-6725	482	81	1.000080410807739	1.000080410807739	NUM
ejpam-6725	482	82	0.00104	0.00104	NUM
ejpam-6725	482	83	8.04e-5	8.04e-5	NUM
ejpam-6725	482	84	0.2	0.2	NUM
ejpam-6725	482	85	0.19866933	0.19866933	NUM
ejpam-6725	482	86	0.98006658	0.98006658	NUM
ejpam-6725	482	87	0.198869642776424	0.198869642776424	NUM
ejpam-6725	482	88	0.9800382076887642	0.9800382076887642	NUM
ejpam-6725	482	89	2.0e−	2.0e−	NUM
ejpam-6725	482	90	4	4	NUM
ejpam-6725	482	91	2.84e−	2.84e−	NUM
ejpam-6725	482	92	5	5	NUM
ejpam-6725	482	93	0.4	0.4	NUM
ejpam-6725	482	94	0.38941834	0.38941834	NUM
ejpam-6725	482	95	0.92106099	0.92106099	NUM
ejpam-6725	482	96	0.3890688869058838	0.3890688869058838	NUM
ejpam-6725	482	97	0.9211379366816407	0.9211379366816407	NUM
ejpam-6725	482	98	3.49e−	3.49e−	NUM
ejpam-6725	482	99	4	4	NUM
ejpam-6725	482	100	7.69e−	7.69e−	NUM
ejpam-6725	482	101	5	5	NUM
ejpam-6725	482	102	0.6	0.6	NUM
ejpam-6725	482	103	0.56464247	0.56464247	NUM
ejpam-6725	482	104	0.82533561	0.82533561	NUM
ejpam-6725	483	1	0.5649593759244289	0.5649593759244289	NUM
ejpam-6725	484	1	0.8250260313600629	0.8250260313600629	NUM
ejpam-6725	484	2	3.17e−	3.17e−	NUM
ejpam-6725	484	3	4	4	NUM
ejpam-6725	484	4	3.1e−	3.1e−	NUM
ejpam-6725	484	5	4	4	NUM
ejpam-6725	484	6	0.8	0.8	NUM
ejpam-6725	484	7	0.71735609	0.71735609	NUM
ejpam-6725	484	8	0.69670671	0.69670671	NUM
ejpam-6725	484	9	0.7171916068020021	0.7171916068020021	NUM
ejpam-6725	484	10	0.6969041261080368	0.6969041261080368	NUM
ejpam-6725	484	11	1.64e−	1.64e−	NUM
ejpam-6725	484	12	4	4	NUM
ejpam-6725	484	13	1.97e−	1.97e−	NUM
ejpam-6725	484	14	4	4	NUM
ejpam-6725	484	15	1	1	NUM
ejpam-6725	484	16	0.84147098	0.84147098	NUM
ejpam-6725	484	17	0.54030231	0.54030231	NUM
ejpam-6725	484	18	0.8421017586957205	0.8421017586957205	NUM
ejpam-6725	484	19	0.5396386699398988	0.5396386699398988	NUM
ejpam-6725	484	20	6.31e−	6.31e−	NUM
ejpam-6725	484	21	4	4	NUM
ejpam-6725	484	22	6.64e−	6.64e−	NUM
ejpam-6725	484	23	4	4	NUM
ejpam-6725	484	24	m.	m.	NOUN
ejpam-6725	484	25	a.	a.	PROPN
ejpam-6725	484	26	ramadan	ramadan	PROPN
ejpam-6725	484	27	et	et	PROPN
ejpam-6725	484	28	al	al	PROPN
ejpam-6725	484	29	.	.	PUNCT
ejpam-6725	484	30	/	/	SYM
ejpam-6725	484	31	eur	eur	PROPN
ejpam-6725	484	32	.	.	PUNCT
ejpam-6725	485	1	j.	j.	PROPN
ejpam-6725	485	2	pure	pure	PROPN
ejpam-6725	485	3	appl	appl	PROPN
ejpam-6725	485	4	.	.	PROPN
ejpam-6725	485	5	math	math	PROPN
ejpam-6725	485	6	,	,	PUNCT
ejpam-6725	485	7	18	18	NUM
ejpam-6725	485	8	(	(	PUNCT
ejpam-6725	485	9	4	4	NUM
ejpam-6725	485	10	)	)	PUNCT
ejpam-6725	485	11	(	(	PUNCT
ejpam-6725	485	12	2025	2025	NUM
ejpam-6725	485	13	)	)	PUNCT
ejpam-6725	485	14	,	,	PUNCT
ejpam-6725	485	15	6725	6725	NUM
ejpam-6725	485	16	16	16	NUM
ejpam-6725	485	17	of	of	ADP
ejpam-6725	485	18	18	18	NUM
ejpam-6725	485	19	table	table	NOUN
ejpam-6725	485	20	9	9	NUM
ejpam-6725	485	21	:	:	PUNCT
ejpam-6725	485	22	comparison	comparison	NOUN
ejpam-6725	485	23	between	between	ADP
ejpam-6725	485	24	absolute	absolute	ADJ
ejpam-6725	485	25	errors	error	NOUN
ejpam-6725	485	26	of	of	ADP
ejpam-6725	485	27	example	example	NOUN
ejpam-6725	485	28	3	3	NUM
ejpam-6725	485	29	for	for	ADP
ejpam-6725	485	30	our	our	PRON
ejpam-6725	485	31	presented	present	VERB
ejpam-6725	485	32	method	method	NOUN
ejpam-6725	485	33	with	with	ADP
ejpam-6725	485	34	m	m	PROPN
ejpam-6725	485	35	=	=	SYM
ejpam-6725	485	36	3	3	NUM
ejpam-6725	485	37	,	,	PUNCT
ejpam-6725	485	38	k	k	NOUN
ejpam-6725	485	39	=	=	SYM
ejpam-6725	485	40	2	2	NUM
ejpam-6725	485	41	,	,	PUNCT
ejpam-6725	485	42	and	and	CCONJ
ejpam-6725	485	43	laguerre	laguerre	NOUN
ejpam-6725	485	44	method	method	NOUN
ejpam-6725	485	45	in	in	ADP
ejpam-6725	485	46	[	[	X
ejpam-6725	485	47	30	30	NUM
ejpam-6725	485	48	]	]	PUNCT
ejpam-6725	485	49	for	for	ADP
ejpam-6725	485	50	n	n	NOUN
ejpam-6725	485	51	=	=	SYM
ejpam-6725	485	52	2	2	NUM
ejpam-6725	485	53	t	t	NOUN
ejpam-6725	485	54	ae	ae	PROPN
ejpam-6725	485	55	in	in	ADP
ejpam-6725	485	56	[	[	X
ejpam-6725	485	57	30	30	NUM
ejpam-6725	485	58	]	]	PUNCT
ejpam-6725	485	59	taking	take	VERB
ejpam-6725	485	60	n	n	NOUN
ejpam-6725	485	61	=	=	SYM
ejpam-6725	485	62	2	2	NUM
ejpam-6725	485	63	ae	ae	PROPN
ejpam-6725	485	64	for	for	ADP
ejpam-6725	485	65	presented	present	VERB
ejpam-6725	485	66	method	method	PROPN
ejpam-6725	485	67	ae	ae	PROPN
ejpam-6725	485	68	in	in	ADP
ejpam-6725	485	69	[	[	X
ejpam-6725	485	70	30	30	NUM
ejpam-6725	485	71	]	]	X
ejpam-6725	485	72	ae	ae	PROPN
ejpam-6725	485	73	for	for	ADP
ejpam-6725	485	74	presented	present	VERB
ejpam-6725	485	75	method	method	NOUN
ejpam-6725	485	76	results	result	NOUN
ejpam-6725	485	77	of	of	ADP
ejpam-6725	485	78	u1(t	u1(t	ADP
ejpam-6725	485	79	)	)	PUNCT
ejpam-6725	485	80	results	result	NOUN
ejpam-6725	485	81	of	of	ADP
ejpam-6725	485	82	u2(t	u2(t	NOUN
ejpam-6725	485	83	)	)	PUNCT
ejpam-6725	485	84	0	0	PUNCT
ejpam-6725	486	1	6.12984	6.12984	NUM
ejpam-6725	486	2	e	e	NOUN
ejpam-6725	486	3	-4	-4	PROPN
ejpam-6725	486	4	0.00104	0.00104	NUM
ejpam-6725	486	5	1.71016	1.71016	NUM
ejpam-6725	486	6	e	e	NOUN
ejpam-6725	486	7	-3	-3	PUNCT
ejpam-6725	486	8	8.04e−	8.04e−	NUM
ejpam-6725	486	9	5	5	NUM
ejpam-6725	486	10	0.2	0.2	NUM
ejpam-6725	486	11	7.9168	7.9168	NUM
ejpam-6725	486	12	e	e	X
ejpam-6725	486	13	-3	-3	PUNCT
ejpam-6725	486	14	2.0e−	2.0e−	NUM
ejpam-6725	486	15	4	4	NUM
ejpam-6725	486	16	5.33819	5.33819	NUM
ejpam-6725	486	17	e	e	NOUN
ejpam-6725	486	18	-3	-3	PUNCT
ejpam-6725	486	19	2.84e−	2.84e−	NUM
ejpam-6725	486	20	5	5	NUM
ejpam-6725	486	21	0.4	0.4	NUM
ejpam-6725	486	22	4.36011	4.36011	NUM
ejpam-6725	486	23	e	e	NOUN
ejpam-6725	486	24	-3	-3	PUNCT
ejpam-6725	486	25	3.49e−	3.49e−	NUM
ejpam-6725	486	26	4	4	NUM
ejpam-6725	486	27	4.18645	4.18645	NUM
ejpam-6725	486	28	e	e	NOUN
ejpam-6725	486	29	-3	-3	NOUN
ejpam-6725	486	30	7.69e−	7.69e−	NUM
ejpam-6725	486	31	5	5	NUM
ejpam-6725	486	32	0.6	0.6	NUM
ejpam-6725	486	33	2.45251	2.45251	NUM
ejpam-6725	486	34	e	e	X
ejpam-6725	486	35	-3	-3	PUNCT
ejpam-6725	486	36	3.17e−	3.17e−	NUM
ejpam-6725	486	37	4	4	NUM
ejpam-6725	486	38	6.07311	6.07311	NUM
ejpam-6725	486	39	e	e	NOUN
ejpam-6725	486	40	-4	-4	PROPN
ejpam-6725	486	41	3.1e−	3.1e−	NUM
ejpam-6725	486	42	4	4	NUM
ejpam-6725	486	43	0.8	0.8	NUM
ejpam-6725	486	44	5.53543	5.53543	NUM
ejpam-6725	486	45	e	e	NOUN
ejpam-6725	486	46	-3	-3	PUNCT
ejpam-6725	486	47	1.64e−	1.64e−	NUM
ejpam-6725	486	48	4	4	NUM
ejpam-6725	486	49	1.58297	1.58297	NUM
ejpam-6725	486	50	e	e	NOUN
ejpam-6725	486	51	-3	-3	X
ejpam-6725	486	52	1.97e−	1.97e−	NUM
ejpam-6725	486	53	4	4	NUM
ejpam-6725	486	54	1	1	NUM
ejpam-6725	486	55	1.19956	1.19956	NUM
ejpam-6725	486	56	e	e	NOUN
ejpam-6725	486	57	-3	-3	PUNCT
ejpam-6725	486	58	6.31e−	6.31e−	NUM
ejpam-6725	486	59	4	4	NUM
ejpam-6725	486	60	2.74364	2.74364	NUM
ejpam-6725	486	61	e	e	NOUN
ejpam-6725	486	62	-3	-3	NOUN
ejpam-6725	486	63	6.64e−	6.64e−	NUM
ejpam-6725	486	64	4	4	NUM
ejpam-6725	486	65	as	as	SCONJ
ejpam-6725	486	66	shown	show	VERB
ejpam-6725	486	67	in	in	ADP
ejpam-6725	486	68	table	table	NOUN
ejpam-6725	486	69	9	9	NUM
ejpam-6725	486	70	,	,	PUNCT
ejpam-6725	486	71	our	our	PRON
ejpam-6725	486	72	proposed	propose	VERB
ejpam-6725	486	73	method	method	NOUN
ejpam-6725	486	74	yields	yield	VERB
ejpam-6725	486	75	more	more	ADV
ejpam-6725	486	76	accurate	accurate	ADJ
ejpam-6725	486	77	results	result	NOUN
ejpam-6725	486	78	compared	compare	VERB
ejpam-6725	486	79	to	to	PART
ejpam-6725	486	80	obtained	obtain	VERB
ejpam-6725	486	81	results	result	NOUN
ejpam-6725	486	82	in	in	ADP
ejpam-6725	486	83	[	[	X
ejpam-6725	486	84	30	30	NUM
ejpam-6725	486	85	]	]	PUNCT
ejpam-6725	486	86	.	.	PUNCT
ejpam-6725	487	1	in	in	ADP
ejpam-6725	487	2	addition	addition	NOUN
ejpam-6725	487	3	to	to	ADP
ejpam-6725	487	4	its	its	PRON
ejpam-6725	487	5	superior	superior	ADJ
ejpam-6725	487	6	or	or	CCONJ
ejpam-6725	487	7	comparable	comparable	ADJ
ejpam-6725	487	8	accuracy	accuracy	NOUN
ejpam-6725	487	9	,	,	PUNCT
ejpam-6725	487	10	our	our	PRON
ejpam-6725	487	11	method	method	NOUN
ejpam-6725	487	12	is	be	AUX
ejpam-6725	487	13	also	also	ADV
ejpam-6725	487	14	highly	highly	ADV
ejpam-6725	487	15	efficient	efficient	ADJ
ejpam-6725	487	16	,	,	PUNCT
ejpam-6725	487	17	as	as	SCONJ
ejpam-6725	487	18	it	it	PRON
ejpam-6725	487	19	eliminates	eliminate	VERB
ejpam-6725	487	20	the	the	DET
ejpam-6725	487	21	need	need	NOUN
ejpam-6725	487	22	for	for	ADP
ejpam-6725	487	23	the	the	DET
ejpam-6725	487	24	computationally	computationally	ADV
ejpam-6725	487	25	intensive	intensive	ADJ
ejpam-6725	487	26	matrix	matrix	NOUN
ejpam-6725	487	27	inversion	inversion	NOUN
ejpam-6725	487	28	when	when	SCONJ
ejpam-6725	487	29	determining	determine	VERB
ejpam-6725	487	30	the	the	DET
ejpam-6725	487	31	coefficient	coefficient	NOUN
ejpam-6725	487	32	vectors	vector	NOUN
ejpam-6725	487	33	c1	c1	PROPN
ejpam-6725	487	34	,	,	PUNCT
ejpam-6725	487	35	c2	c2	PROPN
ejpam-6725	487	36	.	.	PUNCT
ejpam-6725	488	1	6	6	NUM
ejpam-6725	488	2	.	.	X
ejpam-6725	488	3	conclusion	conclusion	NOUN
ejpam-6725	488	4	this	this	DET
ejpam-6725	488	5	study	study	NOUN
ejpam-6725	488	6	presents	present	VERB
ejpam-6725	488	7	an	an	DET
ejpam-6725	488	8	efficient	efficient	ADJ
ejpam-6725	488	9	and	and	CCONJ
ejpam-6725	488	10	direct	direct	ADJ
ejpam-6725	488	11	iterative	iterative	NOUN
ejpam-6725	488	12	method	method	NOUN
ejpam-6725	488	13	for	for	ADP
ejpam-6725	488	14	addressing	address	VERB
ejpam-6725	488	15	one	one	NUM
ejpam-6725	488	16	-	-	PUNCT
ejpam-6725	488	17	dimensional	dimensional	ADJ
ejpam-6725	488	18	fredholm	fredholm	ADJ
ejpam-6725	488	19	integral	integral	ADJ
ejpam-6725	488	20	equations	equation	NOUN
ejpam-6725	488	21	of	of	ADP
ejpam-6725	488	22	the	the	DET
ejpam-6725	488	23	second	second	ADJ
ejpam-6725	488	24	order	order	NOUN
ejpam-6725	488	25	,	,	PUNCT
ejpam-6725	488	26	utilizing	utilize	VERB
ejpam-6725	488	27	legendre	legendre	PROPN
ejpam-6725	488	28	wavelet	wavelet	NOUN
ejpam-6725	488	29	functions	function	NOUN
ejpam-6725	488	30	and	and	CCONJ
ejpam-6725	488	31	a	a	DET
ejpam-6725	488	32	finite	finite	ADJ
ejpam-6725	488	33	iterative	iterative	NOUN
ejpam-6725	488	34	framework	framework	NOUN
ejpam-6725	488	35	.	.	PUNCT
ejpam-6725	489	1	the	the	DET
ejpam-6725	489	2	method	method	NOUN
ejpam-6725	489	3	transforms	transform	VERB
ejpam-6725	489	4	integral	integral	ADJ
ejpam-6725	489	5	equations	equation	NOUN
ejpam-6725	489	6	into	into	ADP
ejpam-6725	489	7	systems	system	NOUN
ejpam-6725	489	8	of	of	ADP
ejpam-6725	489	9	algebraic	algebraic	ADJ
ejpam-6725	489	10	matrix	matrix	NOUN
ejpam-6725	489	11	equations	equation	NOUN
ejpam-6725	489	12	,	,	PUNCT
ejpam-6725	489	13	providing	provide	VERB
ejpam-6725	489	14	a	a	DET
ejpam-6725	489	15	practical	practical	ADJ
ejpam-6725	489	16	and	and	CCONJ
ejpam-6725	489	17	efficient	efficient	ADJ
ejpam-6725	489	18	approach	approach	NOUN
ejpam-6725	489	19	for	for	ADP
ejpam-6725	489	20	calculating	calculate	VERB
ejpam-6725	489	21	approximation	approximation	NOUN
ejpam-6725	489	22	solutions	solution	NOUN
ejpam-6725	489	23	.	.	PUNCT
ejpam-6725	490	1	the	the	DET
ejpam-6725	490	2	method	method	NOUN
ejpam-6725	490	3	circumvents	circumvent	VERB
ejpam-6725	490	4	the	the	DET
ejpam-6725	490	5	necessity	necessity	NOUN
ejpam-6725	490	6	of	of	ADP
ejpam-6725	490	7	inverting	invert	VERB
ejpam-6725	490	8	block	block	NOUN
ejpam-6725	490	9	matrices	matrix	NOUN
ejpam-6725	490	10	,	,	PUNCT
ejpam-6725	490	11	thereby	thereby	ADV
ejpam-6725	490	12	improving	improve	VERB
ejpam-6725	490	13	its	its	PRON
ejpam-6725	490	14	precision	precision	NOUN
ejpam-6725	490	15	and	and	CCONJ
ejpam-6725	490	16	computational	computational	ADJ
ejpam-6725	490	17	efficiency	efficiency	NOUN
ejpam-6725	490	18	.	.	PUNCT
ejpam-6725	491	1	numerous	numerous	ADJ
ejpam-6725	491	2	numerical	numerical	ADJ
ejpam-6725	491	3	cases	case	NOUN
ejpam-6725	491	4	exemplify	exemplify	VERB
ejpam-6725	491	5	the	the	DET
ejpam-6725	491	6	method	method	NOUN
ejpam-6725	491	7	’s	’s	PART
ejpam-6725	491	8	performance	performance	NOUN
ejpam-6725	491	9	,	,	PUNCT
ejpam-6725	491	10	showcasing	showcase	VERB
ejpam-6725	491	11	its	its	PRON
ejpam-6725	491	12	potential	potential	NOUN
ejpam-6725	491	13	for	for	ADP
ejpam-6725	491	14	diverse	diverse	ADJ
ejpam-6725	491	15	applications	application	NOUN
ejpam-6725	491	16	in	in	ADP
ejpam-6725	491	17	scientific	scientific	ADJ
ejpam-6725	491	18	and	and	CCONJ
ejpam-6725	491	19	technical	technical	ADJ
ejpam-6725	491	20	domains	domain	NOUN
ejpam-6725	491	21	.	.	PUNCT
ejpam-6725	492	1	dedication	dedication	NOUN
ejpam-6725	492	2	the	the	DET
ejpam-6725	492	3	first	first	ADJ
ejpam-6725	492	4	author	author	NOUN
ejpam-6725	492	5	,	,	PUNCT
ejpam-6725	492	6	mohamed	mohamed	PROPN
ejpam-6725	492	7	a.	a.	PROPN
ejpam-6725	492	8	ramadan	ramadan	PROPN
ejpam-6725	492	9	,	,	PUNCT
ejpam-6725	492	10	dedicates	dedicate	VERB
ejpam-6725	492	11	this	this	DET
ejpam-6725	492	12	work	work	NOUN
ejpam-6725	492	13	to	to	ADP
ejpam-6725	492	14	professor	professor	PROPN
ejpam-6725	492	15	mohamed	mohamed	PROPN
ejpam-6725	492	16	asaad	asaad	PROPN
ejpam-6725	492	17	,	,	PUNCT
ejpam-6725	492	18	professor	professor	NOUN
ejpam-6725	492	19	emeritus	emeritus	NOUN
ejpam-6725	492	20	at	at	ADP
ejpam-6725	492	21	cairo	cairo	PROPN
ejpam-6725	492	22	university	university	PROPN
ejpam-6725	492	23	,	,	PUNCT
ejpam-6725	492	24	on	on	ADP
ejpam-6725	492	25	his	his	PRON
ejpam-6725	492	26	80th	80th	ADJ
ejpam-6725	492	27	birthday	birthday	NOUN
ejpam-6725	492	28	.	.	PUNCT
ejpam-6725	493	1	his	his	PRON
ejpam-6725	493	2	pioneering	pioneer	VERB
ejpam-6725	493	3	research	research	NOUN
ejpam-6725	493	4	in	in	ADP
ejpam-6725	493	5	abstract	abstract	ADJ
ejpam-6725	493	6	algebra	algebra	NOUN
ejpam-6725	493	7	and	and	CCONJ
ejpam-6725	493	8	finite	finite	ADJ
ejpam-6725	493	9	groups	group	NOUN
ejpam-6725	493	10	is	be	AUX
ejpam-6725	493	11	a	a	DET
ejpam-6725	493	12	true	true	ADJ
ejpam-6725	493	13	inspiration	inspiration	NOUN
ejpam-6725	493	14	.	.	PUNCT
ejpam-6725	494	1	though	though	SCONJ
ejpam-6725	494	2	my	my	PRON
ejpam-6725	494	3	research	research	NOUN
ejpam-6725	494	4	lies	lie	VERB
ejpam-6725	494	5	outside	outside	ADP
ejpam-6725	494	6	his	his	PRON
ejpam-6725	494	7	field	field	NOUN
ejpam-6725	494	8	,	,	PUNCT
ejpam-6725	494	9	his	his	PRON
ejpam-6725	494	10	generous	generous	ADJ
ejpam-6725	494	11	support	support	NOUN
ejpam-6725	494	12	and	and	CCONJ
ejpam-6725	494	13	encouragement	encouragement	NOUN
ejpam-6725	494	14	have	have	AUX
ejpam-6725	494	15	been	be	AUX
ejpam-6725	494	16	invaluable	invaluable	ADJ
ejpam-6725	494	17	.	.	PUNCT
ejpam-6725	495	1	references	reference	NOUN
ejpam-6725	495	2	[	[	X
ejpam-6725	495	3	1	1	NUM
ejpam-6725	495	4	]	]	PUNCT
ejpam-6725	495	5	g.	g.	PROPN
ejpam-6725	495	6	b.	b.	PROPN
ejpam-6725	495	7	arfken	arfken	PROPN
ejpam-6725	495	8	and	and	CCONJ
ejpam-6725	495	9	h.	h.	PROPN
ejpam-6725	495	10	j.	j.	PROPN
ejpam-6725	495	11	weber	weber	PROPN
ejpam-6725	495	12	.	.	PUNCT
ejpam-6725	496	1	mathematical	mathematical	ADJ
ejpam-6725	496	2	methods	method	NOUN
ejpam-6725	496	3	for	for	ADP
ejpam-6725	496	4	physicists	physicist	NOUN
ejpam-6725	496	5	.	.	PUNCT
ejpam-6725	497	1	elsevier	elsevi	ADJ
ejpam-6725	497	2	academic	academic	ADJ
ejpam-6725	497	3	press	press	PROPN
ejpam-6725	497	4	,	,	PUNCT
ejpam-6725	497	5	6th	6th	ADJ
ejpam-6725	497	6	edition	edition	NOUN
ejpam-6725	497	7	,	,	PUNCT
ejpam-6725	497	8	2005	2005	NUM
ejpam-6725	497	9	.	.	PUNCT
ejpam-6725	498	1	[	[	X
ejpam-6725	498	2	2	2	NUM
ejpam-6725	498	3	]	]	PUNCT
ejpam-6725	498	4	l.	l.	PROPN
ejpam-6725	498	5	debnath	debnath	PROPN
ejpam-6725	498	6	and	and	CCONJ
ejpam-6725	498	7	d.	d.	PROPN
ejpam-6725	498	8	bhatta	bhatta	PROPN
ejpam-6725	498	9	.	.	PUNCT
ejpam-6725	499	1	integral	integral	ADJ
ejpam-6725	499	2	transforms	transform	NOUN
ejpam-6725	499	3	and	and	CCONJ
ejpam-6725	499	4	their	their	PRON
ejpam-6725	499	5	applications	application	NOUN
ejpam-6725	499	6	.	.	PUNCT
ejpam-6725	500	1	chapman	chapman	NOUN
ejpam-6725	500	2	and	and	CCONJ
ejpam-6725	500	3	hall	hall	PROPN
ejpam-6725	500	4	/	/	SYM
ejpam-6725	500	5	crc	crc	PROPN
ejpam-6725	500	6	,	,	PUNCT
ejpam-6725	500	7	3rd	3rd	ADJ
ejpam-6725	500	8	edition	edition	NOUN
ejpam-6725	500	9	,	,	PUNCT
ejpam-6725	500	10	2014	2014	NUM
ejpam-6725	500	11	.	.	PUNCT
ejpam-6725	501	1	[	[	X
ejpam-6725	501	2	3	3	NUM
ejpam-6725	501	3	]	]	PUNCT
ejpam-6725	501	4	a.	a.	NOUN
ejpam-6725	501	5	d.	d.	PROPN
ejpam-6725	501	6	polyanin	polyanin	PROPN
ejpam-6725	501	7	and	and	CCONJ
ejpam-6725	501	8	a.	a.	NOUN
ejpam-6725	501	9	v.	v.	ADP
ejpam-6725	501	10	manzhirov	manzhirov	PROPN
ejpam-6725	501	11	.	.	PUNCT
ejpam-6725	502	1	handbook	handbook	NOUN
ejpam-6725	502	2	of	of	ADP
ejpam-6725	502	3	integral	integral	ADJ
ejpam-6725	502	4	equations	equation	NOUN
ejpam-6725	502	5	.	.	PUNCT
ejpam-6725	503	1	chapman	chapman	NOUN
ejpam-6725	503	2	and	and	CCONJ
ejpam-6725	503	3	hall	hall	PROPN
ejpam-6725	503	4	/	/	SYM
ejpam-6725	503	5	crc	crc	PROPN
ejpam-6725	503	6	,	,	PUNCT
ejpam-6725	503	7	2nd	2nd	PROPN
ejpam-6725	503	8	edition	edition	NOUN
ejpam-6725	503	9	,	,	PUNCT
ejpam-6725	503	10	2008	2008	NUM
ejpam-6725	503	11	.	.	PUNCT
ejpam-6725	504	1	[	[	X
ejpam-6725	504	2	4	4	X
ejpam-6725	504	3	]	]	PUNCT
ejpam-6725	504	4	z.	z.	PROPN
ejpam-6725	504	5	elahi	elahi	PROPN
ejpam-6725	504	6	,	,	PUNCT
ejpam-6725	504	7	g.	g.	PROPN
ejpam-6725	504	8	akram	akram	PROPN
ejpam-6725	504	9	,	,	PUNCT
ejpam-6725	504	10	and	and	CCONJ
ejpam-6725	504	11	s.	s.	PROPN
ejpam-6725	504	12	s.	s.	PROPN
ejpam-6725	504	13	siddiqi	siddiqi	PROPN
ejpam-6725	504	14	.	.	PUNCT
ejpam-6725	505	1	numerical	numerical	ADJ
ejpam-6725	505	2	solutions	solution	NOUN
ejpam-6725	505	3	for	for	ADP
ejpam-6725	505	4	solving	solve	VERB
ejpam-6725	505	5	special	special	ADJ
ejpam-6725	505	6	eighth	eighth	ADJ
ejpam-6725	505	7	-	-	PUNCT
ejpam-6725	505	8	order	order	NOUN
ejpam-6725	505	9	linear	linear	ADJ
ejpam-6725	505	10	boundary	boundary	ADJ
ejpam-6725	505	11	value	value	NOUN
ejpam-6725	505	12	problems	problem	NOUN
ejpam-6725	505	13	using	use	VERB
ejpam-6725	505	14	legendre	legendre	PROPN
ejpam-6725	505	15	galerkin	galerkin	PROPN
ejpam-6725	505	16	method	method	NOUN
ejpam-6725	505	17	.	.	PUNCT
ejpam-6725	506	1	mathematical	mathematical	ADJ
ejpam-6725	506	2	sciences	sciences	PROPN
ejpam-6725	506	3	,	,	PUNCT
ejpam-6725	506	4	10(4):201–209	10(4):201–209	NOUN
ejpam-6725	506	5	,	,	PUNCT
ejpam-6725	506	6	2016	2016	NUM
ejpam-6725	506	7	.	.	PUNCT
ejpam-6725	507	1	[	[	X
ejpam-6725	507	2	5	5	X
ejpam-6725	507	3	]	]	PUNCT
ejpam-6725	507	4	z.	z.	PROPN
ejpam-6725	507	5	elahi	elahi	PROPN
ejpam-6725	507	6	,	,	PUNCT
ejpam-6725	507	7	g.	g.	PROPN
ejpam-6725	507	8	akram	akram	PROPN
ejpam-6725	507	9	,	,	PUNCT
ejpam-6725	507	10	and	and	CCONJ
ejpam-6725	507	11	s.	s.	PROPN
ejpam-6725	507	12	s.	s.	PROPN
ejpam-6725	507	13	siddiqi	siddiqi	PROPN
ejpam-6725	507	14	.	.	PUNCT
ejpam-6725	508	1	numerical	numerical	ADJ
ejpam-6725	508	2	solutions	solution	NOUN
ejpam-6725	508	3	for	for	ADP
ejpam-6725	508	4	solving	solve	VERB
ejpam-6725	508	5	special	special	ADJ
ejpam-6725	508	6	tenth	tenth	ADJ
ejpam-6725	508	7	-	-	PUNCT
ejpam-6725	508	8	order	order	NOUN
ejpam-6725	508	9	linear	linear	ADJ
ejpam-6725	508	10	boundary	boundary	ADJ
ejpam-6725	508	11	value	value	NOUN
ejpam-6725	508	12	problems	problem	NOUN
ejpam-6725	508	13	using	use	VERB
ejpam-6725	508	14	legendre	legendre	PROPN
ejpam-6725	508	15	galerkin	galerkin	PROPN
ejpam-6725	508	16	method	method	NOUN
ejpam-6725	508	17	.	.	PUNCT
ejpam-6725	509	1	mathematical	mathematical	ADJ
ejpam-6725	509	2	sciences	science	NOUN
ejpam-6725	509	3	letters	letter	NOUN
ejpam-6725	509	4	,	,	PUNCT
ejpam-6725	509	5	7(1):27–35	7(1):27–35	NUM
ejpam-6725	509	6	,	,	PUNCT
ejpam-6725	509	7	2018	2018	NUM
ejpam-6725	509	8	.	.	PUNCT
ejpam-6725	510	1	[	[	X
ejpam-6725	510	2	6	6	NUM
ejpam-6725	510	3	]	]	X
ejpam-6725	510	4	n.	n.	NOUN
ejpam-6725	510	5	negarchi	negarchi	PROPN
ejpam-6725	510	6	and	and	CCONJ
ejpam-6725	510	7	k.	k.	PROPN
ejpam-6725	510	8	nouri	nouri	PROPN
ejpam-6725	510	9	.	.	PROPN
ejpam-6725	511	1	numerical	numerical	ADJ
ejpam-6725	511	2	solution	solution	NOUN
ejpam-6725	511	3	of	of	ADP
ejpam-6725	511	4	volterra	volterra	NOUN
ejpam-6725	511	5	-	-	PUNCT
ejpam-6725	511	6	fredholm	fredholm	NOUN
ejpam-6725	511	7	integral	integral	ADJ
ejpam-6725	511	8	equations	equation	NOUN
ejpam-6725	511	9	using	use	VERB
ejpam-6725	511	10	the	the	DET
ejpam-6725	511	11	collocation	collocation	NOUN
ejpam-6725	511	12	method	method	NOUN
ejpam-6725	511	13	based	base	VERB
ejpam-6725	511	14	on	on	ADP
ejpam-6725	511	15	a	a	DET
ejpam-6725	511	16	special	special	ADJ
ejpam-6725	511	17	form	form	NOUN
ejpam-6725	511	18	of	of	ADP
ejpam-6725	511	19	the	the	DET
ejpam-6725	511	20	müntz	müntz	ADJ
ejpam-6725	511	21	-	-	PUNCT
ejpam-6725	511	22	legendre	legendre	NOUN
ejpam-6725	511	23	polynomials	polynomial	NOUN
ejpam-6725	511	24	.	.	PUNCT
ejpam-6725	512	1	journal	journal	NOUN
ejpam-6725	512	2	of	of	ADP
ejpam-6725	512	3	computational	computational	ADJ
ejpam-6725	512	4	and	and	CCONJ
ejpam-6725	512	5	applied	applied	ADJ
ejpam-6725	512	6	mathematics	mathematic	NOUN
ejpam-6725	512	7	,	,	PUNCT
ejpam-6725	512	8	344:15–24	344:15–24	NUM
ejpam-6725	512	9	,	,	PUNCT
ejpam-6725	512	10	2018	2018	NUM
ejpam-6725	512	11	.	.	PUNCT
ejpam-6725	513	1	[	[	X
ejpam-6725	513	2	7	7	X
ejpam-6725	513	3	]	]	PUNCT
ejpam-6725	513	4	s.	s.	PROPN
ejpam-6725	513	5	nemati	nemati	PROPN
ejpam-6725	513	6	.	.	PUNCT
ejpam-6725	514	1	numerical	numerical	ADJ
ejpam-6725	514	2	solution	solution	NOUN
ejpam-6725	514	3	of	of	ADP
ejpam-6725	514	4	volterra	volterra	NOUN
ejpam-6725	514	5	-	-	PUNCT
ejpam-6725	514	6	fredholm	fredholm	NOUN
ejpam-6725	514	7	integral	integral	ADJ
ejpam-6725	514	8	equations	equation	NOUN
ejpam-6725	514	9	using	use	VERB
ejpam-6725	514	10	legendre	legendre	PROPN
ejpam-6725	514	11	collocation	collocation	NOUN
ejpam-6725	514	12	method	method	NOUN
ejpam-6725	514	13	.	.	PUNCT
ejpam-6725	515	1	journal	journal	NOUN
ejpam-6725	515	2	of	of	ADP
ejpam-6725	515	3	computational	computational	ADJ
ejpam-6725	515	4	and	and	CCONJ
ejpam-6725	515	5	applied	applied	ADJ
ejpam-6725	515	6	mathematics	mathematic	NOUN
ejpam-6725	515	7	,	,	PUNCT
ejpam-6725	515	8	278:29–36	278:29–36	NUM
ejpam-6725	515	9	,	,	PUNCT
ejpam-6725	515	10	2015	2015	NUM
ejpam-6725	515	11	.	.	PUNCT
ejpam-6725	516	1	m.	m.	NOUN
ejpam-6725	516	2	a.	a.	PROPN
ejpam-6725	516	3	ramadan	ramadan	PROPN
ejpam-6725	516	4	et	et	PROPN
ejpam-6725	516	5	al	al	PROPN
ejpam-6725	516	6	.	.	PUNCT
ejpam-6725	516	7	/	/	SYM
ejpam-6725	516	8	eur	eur	PROPN
ejpam-6725	516	9	.	.	PUNCT
ejpam-6725	517	1	j.	j.	PROPN
ejpam-6725	517	2	pure	pure	PROPN
ejpam-6725	517	3	appl	appl	PROPN
ejpam-6725	517	4	.	.	PROPN
ejpam-6725	517	5	math	math	PROPN
ejpam-6725	517	6	,	,	PUNCT
ejpam-6725	517	7	18	18	NUM
ejpam-6725	517	8	(	(	PUNCT
ejpam-6725	517	9	4	4	NUM
ejpam-6725	517	10	)	)	PUNCT
ejpam-6725	517	11	(	(	PUNCT
ejpam-6725	517	12	2025	2025	NUM
ejpam-6725	517	13	)	)	PUNCT
ejpam-6725	517	14	,	,	PUNCT
ejpam-6725	517	15	6725	6725	NUM
ejpam-6725	517	16	17	17	NUM
ejpam-6725	517	17	of	of	ADP
ejpam-6725	517	18	18	18	NUM
ejpam-6725	517	19	[	[	SYM
ejpam-6725	517	20	8	8	NUM
ejpam-6725	517	21	]	]	PUNCT
ejpam-6725	517	22	b.	b.	PROPN
ejpam-6725	517	23	yilmaz	yilmaz	PROPN
ejpam-6725	517	24	and	and	CCONJ
ejpam-6725	517	25	y.	y.	PROPN
ejpam-6725	517	26	cetin	cetin	PROPN
ejpam-6725	517	27	.	.	PUNCT
ejpam-6725	518	1	numerical	numerical	ADJ
ejpam-6725	518	2	solutions	solution	NOUN
ejpam-6725	518	3	of	of	ADP
ejpam-6725	518	4	the	the	DET
ejpam-6725	518	5	fredholm	fredholm	ADJ
ejpam-6725	518	6	integral	integral	ADJ
ejpam-6725	518	7	equations	equation	NOUN
ejpam-6725	518	8	of	of	ADP
ejpam-6725	518	9	second	second	ADJ
ejpam-6725	518	10	type	type	NOUN
ejpam-6725	518	11	.	.	PUNCT
ejpam-6725	519	1	ntmsci	ntmsci	PROPN
ejpam-6725	519	2	,	,	PUNCT
ejpam-6725	519	3	3(5):284–292	3(5):284–292	NUM
ejpam-6725	519	4	,	,	PUNCT
ejpam-6725	519	5	2017	2017	NUM
ejpam-6725	519	6	.	.	PUNCT
ejpam-6725	520	1	[	[	X
ejpam-6725	520	2	9	9	NUM
ejpam-6725	520	3	]	]	PUNCT
ejpam-6725	520	4	mohamed	mohamed	PROPN
ejpam-6725	520	5	a.	a.	PROPN
ejpam-6725	520	6	ramadan	ramadan	PROPN
ejpam-6725	520	7	and	and	CCONJ
ejpam-6725	520	8	mohamed	mohamed	PROPN
ejpam-6725	520	9	r.	r.	PROPN
ejpam-6725	520	10	ali	ali	PROPN
ejpam-6725	520	11	.	.	PUNCT
ejpam-6725	520	12	solution	solution	NOUN
ejpam-6725	520	13	of	of	ADP
ejpam-6725	520	14	integral	integral	ADJ
ejpam-6725	520	15	and	and	CCONJ
ejpam-6725	520	16	integro	integro	ADJ
ejpam-6725	520	17	-	-	PUNCT
ejpam-6725	520	18	differential	differential	NOUN
ejpam-6725	520	19	equations	equation	NOUN
ejpam-6725	520	20	system	system	NOUN
ejpam-6725	520	21	using	use	VERB
ejpam-6725	520	22	hybrid	hybrid	ADJ
ejpam-6725	520	23	orthonormal	orthonormal	ADJ
ejpam-6725	520	24	bernstein	bernstein	NOUN
ejpam-6725	520	25	and	and	CCONJ
ejpam-6725	520	26	block	block	NOUN
ejpam-6725	520	27	-	-	PUNCT
ejpam-6725	520	28	pulse	pulse	NOUN
ejpam-6725	520	29	functions	function	NOUN
ejpam-6725	520	30	.	.	PUNCT
ejpam-6725	521	1	journal	journal	NOUN
ejpam-6725	521	2	of	of	ADP
ejpam-6725	521	3	abstract	abstract	ADJ
ejpam-6725	521	4	and	and	CCONJ
ejpam-6725	521	5	computational	computational	ADJ
ejpam-6725	521	6	mathematics	mathematic	NOUN
ejpam-6725	521	7	,	,	PUNCT
ejpam-6725	521	8	ntmsci	ntmsci	NOUN
ejpam-6725	521	9	,	,	PUNCT
ejpam-6725	521	10	2(1):35–48	2(1):35–48	NUM
ejpam-6725	521	11	,	,	PUNCT
ejpam-6725	521	12	2017	2017	NUM
ejpam-6725	521	13	.	.	PUNCT
ejpam-6725	522	1	[	[	X
ejpam-6725	522	2	10	10	NUM
ejpam-6725	522	3	]	]	X
ejpam-6725	522	4	mohamed	mohamed	PROPN
ejpam-6725	522	5	a.	a.	PROPN
ejpam-6725	522	6	ramadan	ramadan	PROPN
ejpam-6725	522	7	and	and	CCONJ
ejpam-6725	522	8	mohamed	mohamed	PROPN
ejpam-6725	522	9	r.	r.	PROPN
ejpam-6725	522	10	ali	ali	PROPN
ejpam-6725	522	11	.	.	PUNCT
ejpam-6725	523	1	an	an	DET
ejpam-6725	523	2	efficient	efficient	ADJ
ejpam-6725	523	3	hybrid	hybrid	NOUN
ejpam-6725	523	4	method	method	NOUN
ejpam-6725	523	5	for	for	ADP
ejpam-6725	523	6	solving	solve	VERB
ejpam-6725	523	7	fredholm	fredholm	ADJ
ejpam-6725	523	8	integral	integral	ADJ
ejpam-6725	523	9	equations	equation	NOUN
ejpam-6725	523	10	using	use	VERB
ejpam-6725	523	11	triangular	triangular	NOUN
ejpam-6725	523	12	functions	function	NOUN
ejpam-6725	523	13	.	.	PUNCT
ejpam-6725	524	1	new	new	ADJ
ejpam-6725	524	2	trends	trend	NOUN
ejpam-6725	524	3	in	in	ADP
ejpam-6725	524	4	mathematical	mathematical	ADJ
ejpam-6725	524	5	sciences	science	NOUN
ejpam-6725	524	6	,	,	PUNCT
ejpam-6725	524	7	5(1):213–224	5(1):213–224	NUM
ejpam-6725	524	8	,	,	PUNCT
ejpam-6725	524	9	2017	2017	NUM
ejpam-6725	524	10	.	.	PUNCT
ejpam-6725	525	1	[	[	X
ejpam-6725	525	2	11	11	NUM
ejpam-6725	525	3	]	]	PUNCT
ejpam-6725	525	4	m.	m.	NOUN
ejpam-6725	525	5	ramadan	ramadan	PROPN
ejpam-6725	525	6	,	,	PUNCT
ejpam-6725	525	7	k.	k.	PROPN
ejpam-6725	525	8	raslan	raslan	PROPN
ejpam-6725	525	9	,	,	PUNCT
ejpam-6725	525	10	a.	a.	NOUN
ejpam-6725	525	11	hadhoud	hadhoud	PROPN
ejpam-6725	525	12	,	,	PUNCT
ejpam-6725	525	13	and	and	CCONJ
ejpam-6725	525	14	m.	m.	PROPN
ejpam-6725	525	15	nassar	nassar	PROPN
ejpam-6725	525	16	.	.	PUNCT
ejpam-6725	526	1	rational	rational	ADJ
ejpam-6725	526	2	chebyshev	chebyshev	NOUN
ejpam-6725	526	3	-	-	PUNCT
ejpam-6725	526	4	based	base	VERB
ejpam-6725	526	5	schemes	scheme	NOUN
ejpam-6725	526	6	for	for	ADP
ejpam-6725	526	7	handling	handle	VERB
ejpam-6725	526	8	high	high	ADJ
ejpam-6725	526	9	-	-	PUNCT
ejpam-6725	526	10	order	order	NOUN
ejpam-6725	526	11	linear	linear	ADJ
ejpam-6725	526	12	integro	integro	ADJ
ejpam-6725	526	13	-	-	PUNCT
ejpam-6725	526	14	differential	differential	NOUN
ejpam-6725	526	15	equations	equation	NOUN
ejpam-6725	526	16	.	.	PUNCT
ejpam-6725	527	1	2016	2016	NUM
ejpam-6725	527	2	.	.	PUNCT
ejpam-6725	528	1	unpublished	unpublished	ADJ
ejpam-6725	528	2	manuscript	manuscript	NOUN
ejpam-6725	528	3	description	description	NOUN
ejpam-6725	528	4	.	.	PUNCT
ejpam-6725	529	1	[	[	X
ejpam-6725	529	2	12	12	NUM
ejpam-6725	529	3	]	]	X
ejpam-6725	529	4	e.	e.	PROPN
ejpam-6725	529	5	babolian	babolian	PROPN
ejpam-6725	529	6	,	,	PUNCT
ejpam-6725	529	7	j.	j.	PROPN
ejpam-6725	529	8	biazar	biazar	PROPN
ejpam-6725	529	9	,	,	PUNCT
ejpam-6725	529	10	and	and	CCONJ
ejpam-6725	529	11	a.	a.	PROPN
ejpam-6725	529	12	r.	r.	PROPN
ejpam-6725	529	13	vahidi	vahidi	PROPN
ejpam-6725	529	14	.	.	PUNCT
ejpam-6725	530	1	the	the	DET
ejpam-6725	530	2	decomposition	decomposition	NOUN
ejpam-6725	530	3	method	method	NOUN
ejpam-6725	530	4	applied	apply	VERB
ejpam-6725	530	5	to	to	ADP
ejpam-6725	530	6	systems	system	NOUN
ejpam-6725	530	7	of	of	ADP
ejpam-6725	530	8	fredholm	fredholm	ADJ
ejpam-6725	530	9	integral	integral	ADJ
ejpam-6725	530	10	equations	equation	NOUN
ejpam-6725	530	11	of	of	ADP
ejpam-6725	530	12	the	the	DET
ejpam-6725	530	13	second	second	ADJ
ejpam-6725	530	14	kind	kind	NOUN
ejpam-6725	530	15	.	.	PUNCT
ejpam-6725	531	1	applied	apply	VERB
ejpam-6725	531	2	mathematics	mathematic	NOUN
ejpam-6725	531	3	and	and	CCONJ
ejpam-6725	531	4	computation	computation	NOUN
ejpam-6725	531	5	,	,	PUNCT
ejpam-6725	531	6	148(2):443–452	148(2):443–452	PROPN
ejpam-6725	531	7	,	,	PUNCT
ejpam-6725	531	8	2004	2004	NUM
ejpam-6725	531	9	.	.	PUNCT
ejpam-6725	532	1	[	[	X
ejpam-6725	532	2	13	13	NUM
ejpam-6725	532	3	]	]	X
ejpam-6725	532	4	e.	e.	PROPN
ejpam-6725	532	5	babolian	babolian	PROPN
ejpam-6725	532	6	,	,	PUNCT
ejpam-6725	532	7	z.	z.	PROPN
ejpam-6725	532	8	masouri	masouri	PROPN
ejpam-6725	532	9	,	,	PUNCT
ejpam-6725	532	10	and	and	CCONJ
ejpam-6725	532	11	s.	s.	PROPN
ejpam-6725	532	12	hatamzadeh	hatamzadeh	PROPN
ejpam-6725	532	13	-	-	PUNCT
ejpam-6725	532	14	varmazyar	varmazyar	PROPN
ejpam-6725	532	15	.	.	PUNCT
ejpam-6725	533	1	a	a	DET
ejpam-6725	533	2	direct	direct	ADJ
ejpam-6725	533	3	method	method	NOUN
ejpam-6725	533	4	for	for	ADP
ejpam-6725	533	5	numerically	numerically	ADV
ejpam-6725	533	6	solving	solve	VERB
ejpam-6725	533	7	integral	integral	ADJ
ejpam-6725	533	8	equations	equation	NOUN
ejpam-6725	533	9	system	system	NOUN
ejpam-6725	533	10	using	use	VERB
ejpam-6725	533	11	orthogonal	orthogonal	ADJ
ejpam-6725	533	12	triangular	triangular	NOUN
ejpam-6725	533	13	functions	function	NOUN
ejpam-6725	533	14	.	.	PUNCT
ejpam-6725	534	1	international	international	ADJ
ejpam-6725	534	2	journal	journal	PROPN
ejpam-6725	534	3	of	of	ADP
ejpam-6725	534	4	industrial	industrial	ADJ
ejpam-6725	534	5	mathematics	mathematic	NOUN
ejpam-6725	534	6	,	,	PUNCT
ejpam-6725	534	7	1(2):135–145	1(2):135–145	NUM
ejpam-6725	534	8	,	,	PUNCT
ejpam-6725	534	9	2009	2009	NUM
ejpam-6725	534	10	.	.	PUNCT
ejpam-6725	535	1	[	[	X
ejpam-6725	535	2	14	14	NUM
ejpam-6725	535	3	]	]	PUNCT
ejpam-6725	535	4	a.	a.	NOUN
ejpam-6725	535	5	jafarian	jafarian	PROPN
ejpam-6725	535	6	and	and	CCONJ
ejpam-6725	535	7	s.	s.	PROPN
ejpam-6725	535	8	measoomy	measoomy	PROPN
ejpam-6725	535	9	nia	nia	PROPN
ejpam-6725	535	10	.	.	PUNCT
ejpam-6725	535	11	utilizing	utilize	VERB
ejpam-6725	535	12	feed	feed	NOUN
ejpam-6725	535	13	-	-	PUNCT
ejpam-6725	535	14	back	back	NOUN
ejpam-6725	535	15	neural	neural	ADJ
ejpam-6725	535	16	network	network	NOUN
ejpam-6725	535	17	approach	approach	NOUN
ejpam-6725	535	18	for	for	ADP
ejpam-6725	535	19	solving	solve	VERB
ejpam-6725	535	20	linear	linear	ADJ
ejpam-6725	535	21	fredholm	fredholm	NOUN
ejpam-6725	535	22	integral	integral	ADJ
ejpam-6725	535	23	equations	equation	NOUN
ejpam-6725	535	24	system	system	NOUN
ejpam-6725	535	25	.	.	PUNCT
ejpam-6725	536	1	applied	apply	VERB
ejpam-6725	536	2	mathematical	mathematical	ADJ
ejpam-6725	536	3	modelling	modelling	NOUN
ejpam-6725	536	4	,	,	PUNCT
ejpam-6725	536	5	37(7):5027–5038	37(7):5027–5038	NUM
ejpam-6725	536	6	,	,	PUNCT
ejpam-6725	536	7	2013	2013	NUM
ejpam-6725	536	8	.	.	PUNCT
ejpam-6725	537	1	[	[	X
ejpam-6725	537	2	15	15	NUM
ejpam-6725	537	3	]	]	X
ejpam-6725	537	4	a.	a.	NOUN
ejpam-6725	537	5	jafarian	jafarian	PROPN
ejpam-6725	537	6	,	,	PUNCT
ejpam-6725	537	7	s.	s.	PROPN
ejpam-6725	537	8	a.	a.	PROPN
ejpam-6725	537	9	measoomy	measoomy	PROPN
ejpam-6725	537	10	nia	nia	PROPN
ejpam-6725	537	11	,	,	PUNCT
ejpam-6725	537	12	a.	a.	PROPN
ejpam-6725	537	13	k.	k.	PROPN
ejpam-6725	537	14	gulmankhaneh	gulmankhaneh	PROPN
ejpam-6725	537	15	,	,	PUNCT
ejpam-6725	537	16	and	and	CCONJ
ejpam-6725	537	17	d.	d.	PROPN
ejpam-6725	537	18	baleanu	baleanu	PROPN
ejpam-6725	537	19	.	.	PUNCT
ejpam-6725	538	1	numerical	numerical	ADJ
ejpam-6725	538	2	solution	solution	NOUN
ejpam-6725	538	3	of	of	ADP
ejpam-6725	538	4	linear	linear	ADJ
ejpam-6725	538	5	integral	integral	ADJ
ejpam-6725	538	6	equations	equation	NOUN
ejpam-6725	538	7	system	system	NOUN
ejpam-6725	538	8	by	by	ADP
ejpam-6725	538	9	using	use	VERB
ejpam-6725	538	10	the	the	DET
ejpam-6725	538	11	bernstein	bernstein	PROPN
ejpam-6725	538	12	collocation	collocation	NOUN
ejpam-6725	538	13	method	method	NOUN
ejpam-6725	538	14	.	.	PUNCT
ejpam-6725	539	1	advances	advance	NOUN
ejpam-6725	539	2	in	in	ADP
ejpam-6725	539	3	difference	difference	NOUN
ejpam-6725	539	4	equations	equation	NOUN
ejpam-6725	539	5	,	,	PUNCT
ejpam-6725	539	6	2013:123	2013:123	PROPN
ejpam-6725	539	7	,	,	PUNCT
ejpam-6725	539	8	2013	2013	NUM
ejpam-6725	539	9	.	.	PUNCT
ejpam-6725	540	1	[	[	X
ejpam-6725	540	2	16	16	NUM
ejpam-6725	540	3	]	]	PUNCT
ejpam-6725	540	4	z.	z.	PROPN
ejpam-6725	540	5	mahmoodi	mahmoodi	PROPN
ejpam-6725	540	6	.	.	PUNCT
ejpam-6725	540	7	collocation	collocation	NOUN
ejpam-6725	540	8	method	method	NOUN
ejpam-6725	540	9	for	for	ADP
ejpam-6725	540	10	solving	solve	VERB
ejpam-6725	540	11	systems	system	NOUN
ejpam-6725	540	12	of	of	ADP
ejpam-6725	540	13	fredholm	fredholm	NOUN
ejpam-6725	540	14	and	and	CCONJ
ejpam-6725	540	15	volterra	volterra	PROPN
ejpam-6725	540	16	integral	integral	ADJ
ejpam-6725	540	17	equations	equation	NOUN
ejpam-6725	540	18	.	.	PUNCT
ejpam-6725	541	1	international	international	ADJ
ejpam-6725	541	2	journal	journal	PROPN
ejpam-6725	541	3	of	of	ADP
ejpam-6725	541	4	computer	computer	NOUN
ejpam-6725	541	5	mathematics	mathematic	NOUN
ejpam-6725	541	6	,	,	PUNCT
ejpam-6725	541	7	91(8):1802–1816	91(8):1802–1816	NUM
ejpam-6725	541	8	,	,	PUNCT
ejpam-6725	541	9	2013	2013	NUM
ejpam-6725	541	10	.	.	PUNCT
ejpam-6725	542	1	[	[	X
ejpam-6725	542	2	17	17	NUM
ejpam-6725	542	3	]	]	PUNCT
ejpam-6725	542	4	m.	m.	NOUN
ejpam-6725	542	5	alipour	alipour	PROPN
ejpam-6725	542	6	,	,	PUNCT
ejpam-6725	542	7	d.	d.	PROPN
ejpam-6725	542	8	baleanu	baleanu	PROPN
ejpam-6725	542	9	,	,	PUNCT
ejpam-6725	542	10	and	and	CCONJ
ejpam-6725	542	11	k.	k.	PROPN
ejpam-6725	542	12	karimi	karimi	PROPN
ejpam-6725	542	13	.	.	PUNCT
ejpam-6725	543	1	spectral	spectral	ADJ
ejpam-6725	543	2	method	method	NOUN
ejpam-6725	543	3	based	base	VERB
ejpam-6725	543	4	on	on	ADP
ejpam-6725	543	5	bernstein	bernstein	PROPN
ejpam-6725	543	6	polynomial	polynomial	PROPN
ejpam-6725	543	7	for	for	ADP
ejpam-6725	543	8	coupled	couple	VERB
ejpam-6725	543	9	system	system	NOUN
ejpam-6725	543	10	of	of	ADP
ejpam-6725	543	11	fredholm	fredholm	ADJ
ejpam-6725	543	12	integral	integral	ADJ
ejpam-6725	543	13	equations	equation	NOUN
ejpam-6725	543	14	.	.	PUNCT
ejpam-6725	544	1	applied	apply	VERB
ejpam-6725	544	2	and	and	CCONJ
ejpam-6725	544	3	computational	computational	ADJ
ejpam-6725	544	4	mathematics	mathematic	NOUN
ejpam-6725	544	5	,	,	PUNCT
ejpam-6725	544	6	15(2):212–219	15(2):212–219	PROPN
ejpam-6725	544	7	,	,	PUNCT
ejpam-6725	544	8	2016	2016	NUM
ejpam-6725	544	9	.	.	PUNCT
ejpam-6725	545	1	[	[	X
ejpam-6725	545	2	18	18	NUM
ejpam-6725	545	3	]	]	X
ejpam-6725	545	4	y.	y.	PROPN
ejpam-6725	545	5	huang	huang	PROPN
ejpam-6725	545	6	,	,	PUNCT
ejpam-6725	545	7	m.	m.	NOUN
ejpam-6725	545	8	fang	fang	X
ejpam-6725	545	9	,	,	PUNCT
ejpam-6725	545	10	and	and	CCONJ
ejpam-6725	545	11	x.-f	x.-f	NOUN
ejpam-6725	545	12	.	.	PUNCT
ejpam-6725	546	1	li	li	PROPN
ejpam-6725	546	2	.	.	PROPN
ejpam-6725	546	3	approximate	approximate	ADJ
ejpam-6725	546	4	solution	solution	NOUN
ejpam-6725	546	5	of	of	ADP
ejpam-6725	546	6	a	a	DET
ejpam-6725	546	7	system	system	NOUN
ejpam-6725	546	8	of	of	ADP
ejpam-6725	546	9	linear	linear	ADJ
ejpam-6725	546	10	integral	integral	ADJ
ejpam-6725	546	11	equations	equation	NOUN
ejpam-6725	546	12	by	by	ADP
ejpam-6725	546	13	the	the	DET
ejpam-6725	546	14	taylor	taylor	PROPN
ejpam-6725	546	15	expansion	expansion	NOUN
ejpam-6725	546	16	method	method	NOUN
ejpam-6725	546	17	.	.	PUNCT
ejpam-6725	547	1	international	international	ADJ
ejpam-6725	547	2	journal	journal	PROPN
ejpam-6725	547	3	of	of	ADP
ejpam-6725	547	4	computer	computer	NOUN
ejpam-6725	547	5	mathematics	mathematic	NOUN
ejpam-6725	547	6	,	,	PUNCT
ejpam-6725	547	7	86(5):924–937	86(5):924–937	NUM
ejpam-6725	547	8	,	,	PUNCT
ejpam-6725	547	9	2009	2009	NUM
ejpam-6725	547	10	.	.	PUNCT
ejpam-6725	548	1	[	[	X
ejpam-6725	548	2	19	19	NUM
ejpam-6725	548	3	]	]	X
ejpam-6725	548	4	mohamed	mohamed	PROPN
ejpam-6725	548	5	a.	a.	PROPN
ejpam-6725	548	6	ramadan	ramadan	PROPN
ejpam-6725	548	7	,	,	PUNCT
ejpam-6725	548	8	mokhtar	mokhtar	PROPN
ejpam-6725	548	9	a.	a.	PROPN
ejpam-6725	548	10	abdel	abdel	PROPN
ejpam-6725	548	11	-	-	PUNCT
ejpam-6725	548	12	naby	naby	PROPN
ejpam-6725	548	13	,	,	PUNCT
ejpam-6725	548	14	and	and	CCONJ
ejpam-6725	548	15	ahmed	ahmed	PROPN
ejpam-6725	548	16	m.	m.	PROPN
ejpam-6725	548	17	bayoumi	bayoumi	PROPN
ejpam-6725	548	18	.	.	PUNCT
ejpam-6725	549	1	iterative	iterative	ADJ
ejpam-6725	549	2	algorithm	algorithm	NOUN
ejpam-6725	549	3	for	for	ADP
ejpam-6725	549	4	solving	solve	VERB
ejpam-6725	549	5	a	a	DET
ejpam-6725	549	6	class	class	NOUN
ejpam-6725	549	7	of	of	ADP
ejpam-6725	549	8	general	general	ADJ
ejpam-6725	549	9	sylvester	sylvester	NOUN
ejpam-6725	549	10	-	-	PUNCT
ejpam-6725	549	11	conjugate	conjugate	ADJ
ejpam-6725	549	12	matrix	matrix	NOUN
ejpam-6725	549	13	equation	equation	NOUN
ejpam-6725	549	14	.	.	PUNCT
ejpam-6725	550	1	journal	journal	PROPN
ejpam-6725	550	2	of	of	ADP
ejpam-6725	550	3	applied	apply	VERB
ejpam-6725	550	4	mathematics	mathematic	NOUN
ejpam-6725	550	5	and	and	CCONJ
ejpam-6725	550	6	computing	computing	NOUN
ejpam-6725	550	7	,	,	PUNCT
ejpam-6725	550	8	44:99–118	44:99–118	NUM
ejpam-6725	550	9	,	,	PUNCT
ejpam-6725	550	10	2014	2014	NUM
ejpam-6725	550	11	.	.	PUNCT
ejpam-6725	551	1	[	[	X
ejpam-6725	551	2	20	20	NUM
ejpam-6725	551	3	]	]	PUNCT
ejpam-6725	551	4	mohamed	mohamed	PROPN
ejpam-6725	551	5	a.	a.	PROPN
ejpam-6725	551	6	ramadan	ramadan	PROPN
ejpam-6725	551	7	and	and	CCONJ
ejpam-6725	551	8	talaat	talaat	PROPN
ejpam-6725	551	9	s.	s.	PROPN
ejpam-6725	551	10	el	el	PROPN
ejpam-6725	551	11	-	-	PROPN
ejpam-6725	551	12	danaf	danaf	NOUN
ejpam-6725	551	13	.	.	PUNCT
ejpam-6725	552	1	solving	solve	VERB
ejpam-6725	552	2	the	the	DET
ejpam-6725	552	3	generalized	generalize	VERB
ejpam-6725	552	4	coupled	couple	VERB
ejpam-6725	552	5	sylvester	sylvest	ADJ
ejpam-6725	552	6	matrix	matrix	NOUN
ejpam-6725	552	7	equations	equation	NOUN
ejpam-6725	552	8	over	over	ADP
ejpam-6725	552	9	generalized	generalized	ADJ
ejpam-6725	552	10	bisymmetric	bisymmetric	ADJ
ejpam-6725	552	11	matrices	matrix	NOUN
ejpam-6725	552	12	.	.	PUNCT
ejpam-6725	553	1	transactions	transaction	NOUN
ejpam-6725	553	2	of	of	ADP
ejpam-6725	553	3	the	the	DET
ejpam-6725	553	4	institute	institute	PROPN
ejpam-6725	553	5	of	of	ADP
ejpam-6725	553	6	measurement	measurement	NOUN
ejpam-6725	553	7	and	and	CCONJ
ejpam-6725	553	8	control	control	NOUN
ejpam-6725	553	9	,	,	PUNCT
ejpam-6725	553	10	37(3):291–316	37(3):291–316	PROPN
ejpam-6725	553	11	,	,	PUNCT
ejpam-6725	553	12	2015	2015	NUM
ejpam-6725	553	13	.	.	PUNCT
ejpam-6725	554	1	[	[	X
ejpam-6725	554	2	21	21	NUM
ejpam-6725	554	3	]	]	PUNCT
ejpam-6725	554	4	k.	k.	PROPN
ejpam-6725	554	5	maleknejad	maleknejad	PROPN
ejpam-6725	554	6	,	,	PUNCT
ejpam-6725	554	7	h.	h.	PROPN
ejpam-6725	554	8	safdari	safdari	PROPN
ejpam-6725	554	9	,	,	PUNCT
ejpam-6725	554	10	and	and	CCONJ
ejpam-6725	554	11	m.	m.	PROPN
ejpam-6725	554	12	nouri	nouri	PROPN
ejpam-6725	554	13	.	.	PUNCT
ejpam-6725	555	1	numerical	numerical	ADJ
ejpam-6725	555	2	solution	solution	NOUN
ejpam-6725	555	3	of	of	ADP
ejpam-6725	555	4	an	an	DET
ejpam-6725	555	5	integral	integral	ADJ
ejpam-6725	555	6	equations	equation	NOUN
ejpam-6725	555	7	system	system	NOUN
ejpam-6725	555	8	of	of	ADP
ejpam-6725	555	9	the	the	DET
ejpam-6725	555	10	first	first	ADJ
ejpam-6725	555	11	kind	kind	NOUN
ejpam-6725	555	12	by	by	ADP
ejpam-6725	555	13	using	use	VERB
ejpam-6725	555	14	an	an	DET
ejpam-6725	555	15	operational	operational	ADJ
ejpam-6725	555	16	matrix	matrix	NOUN
ejpam-6725	555	17	with	with	ADP
ejpam-6725	555	18	block	block	NOUN
ejpam-6725	555	19	pulse	pulse	NOUN
ejpam-6725	555	20	functions	function	NOUN
ejpam-6725	555	21	.	.	PUNCT
ejpam-6725	556	1	international	international	ADJ
ejpam-6725	556	2	journal	journal	PROPN
ejpam-6725	556	3	of	of	ADP
ejpam-6725	556	4	systems	system	NOUN
ejpam-6725	556	5	science	science	NOUN
ejpam-6725	556	6	,	,	PUNCT
ejpam-6725	556	7	42(1):195–199	42(1):195–199	NOUN
ejpam-6725	556	8	,	,	PUNCT
ejpam-6725	556	9	2011	2011	NUM
ejpam-6725	556	10	.	.	PUNCT
ejpam-6725	557	1	[	[	X
ejpam-6725	557	2	22	22	NUM
ejpam-6725	557	3	]	]	PUNCT
ejpam-6725	557	4	m.	m.	NOUN
ejpam-6725	557	5	a.	a.	PROPN
ejpam-6725	557	6	ramadan	ramadan	PROPN
ejpam-6725	557	7	,	,	PUNCT
ejpam-6725	557	8	h.	h.	PROPN
ejpam-6725	557	9	s.	s.	PROPN
ejpam-6725	557	10	osheba	osheba	PROPN
ejpam-6725	557	11	,	,	PUNCT
ejpam-6725	557	12	and	and	CCONJ
ejpam-6725	557	13	a.	a.	PROPN
ejpam-6725	557	14	r.	r.	PROPN
ejpam-6725	557	15	hadhoud	hadhoud	PROPN
ejpam-6725	557	16	.	.	PUNCT
ejpam-6725	558	1	a	a	DET
ejpam-6725	558	2	highly	highly	ADV
ejpam-6725	558	3	efficient	efficient	ADJ
ejpam-6725	558	4	and	and	CCONJ
ejpam-6725	558	5	accurate	accurate	ADJ
ejpam-6725	558	6	finite	finite	ADJ
ejpam-6725	558	7	iterative	iterative	NOUN
ejpam-6725	558	8	method	method	NOUN
ejpam-6725	558	9	for	for	ADP
ejpam-6725	558	10	solving	solve	VERB
ejpam-6725	558	11	linear	linear	ADJ
ejpam-6725	558	12	two	two	NUM
ejpam-6725	558	13	-	-	PUNCT
ejpam-6725	558	14	dimensional	dimensional	ADJ
ejpam-6725	558	15	fredholm	fredholm	NOUN
ejpam-6725	558	16	fuzzy	fuzzy	ADJ
ejpam-6725	558	17	integral	integral	ADJ
ejpam-6725	558	18	equations	equation	NOUN
ejpam-6725	558	19	of	of	ADP
ejpam-6725	558	20	the	the	DET
ejpam-6725	558	21	second	second	ADJ
ejpam-6725	558	22	kind	kind	NOUN
ejpam-6725	558	23	using	use	VERB
ejpam-6725	558	24	triangular	triangular	NOUN
ejpam-6725	558	25	functions	function	NOUN
ejpam-6725	558	26	.	.	PUNCT
ejpam-6725	559	1	mathematical	mathematical	ADJ
ejpam-6725	559	2	problems	problem	NOUN
ejpam-6725	559	3	in	in	ADP
ejpam-6725	559	4	engineering	engineering	NOUN
ejpam-6725	559	5	,	,	PUNCT
ejpam-6725	559	6	2020	2020	NUM
ejpam-6725	559	7	:	:	PUNCT
ejpam-6725	559	8	article	article	NOUN
ejpam-6725	559	9	i	i	PROPN
ejpam-6725	559	10	d	d	PROPN
ejpam-6725	559	11	2028763	2028763	NUM
ejpam-6725	559	12	,	,	PUNCT
ejpam-6725	559	13	1–16	1–16	NOUN
ejpam-6725	559	14	,	,	PUNCT
ejpam-6725	559	15	2020	2020	NUM
ejpam-6725	559	16	.	.	PUNCT
ejpam-6725	560	1	[	[	X
ejpam-6725	560	2	23	23	NUM
ejpam-6725	560	3	]	]	PUNCT
ejpam-6725	560	4	k.	k.	PROPN
ejpam-6725	560	5	maleknejad	maleknejad	PROPN
ejpam-6725	560	6	,	,	PUNCT
ejpam-6725	560	7	m.	m.	NOUN
ejpam-6725	560	8	shahrezaee	shahrezaee	PROPN
ejpam-6725	560	9	,	,	PUNCT
ejpam-6725	560	10	and	and	CCONJ
ejpam-6725	560	11	h.	h.	PROPN
ejpam-6725	560	12	khatami	khatami	PROPN
ejpam-6725	560	13	.	.	PUNCT
ejpam-6725	561	1	numerical	numerical	ADJ
ejpam-6725	561	2	solution	solution	NOUN
ejpam-6725	561	3	of	of	ADP
ejpam-6725	561	4	integral	integral	ADJ
ejpam-6725	561	5	equations	equation	NOUN
ejpam-6725	561	6	system	system	NOUN
ejpam-6725	561	7	of	of	ADP
ejpam-6725	561	8	the	the	DET
ejpam-6725	561	9	second	second	ADJ
ejpam-6725	561	10	kind	kind	NOUN
ejpam-6725	561	11	by	by	ADP
ejpam-6725	561	12	block	block	NOUN
ejpam-6725	561	13	-	-	PUNCT
ejpam-6725	561	14	pulse	pulse	NOUN
ejpam-6725	561	15	functions	function	NOUN
ejpam-6725	561	16	.	.	PUNCT
ejpam-6725	562	1	applied	apply	VERB
ejpam-6725	562	2	mathematics	mathematic	NOUN
ejpam-6725	562	3	and	and	CCONJ
ejpam-6725	562	4	computation	computation	NOUN
ejpam-6725	562	5	,	,	PUNCT
ejpam-6725	562	6	166:15–24	166:15–24	PROPN
ejpam-6725	562	7	,	,	PUNCT
ejpam-6725	562	8	2005	2005	NUM
ejpam-6725	562	9	.	.	PUNCT
ejpam-6725	563	1	[	[	X
ejpam-6725	563	2	24	24	NUM
ejpam-6725	563	3	]	]	X
ejpam-6725	563	4	h.	h.	PROPN
ejpam-6725	563	5	almasieh	almasieh	PROPN
ejpam-6725	563	6	and	and	CCONJ
ejpam-6725	563	7	m.	m.	NOUN
ejpam-6725	563	8	roodaki	roodaki	VERB
ejpam-6725	563	9	.	.	PUNCT
ejpam-6725	564	1	triangular	triangular	NOUN
ejpam-6725	564	2	functions	function	NOUN
ejpam-6725	564	3	method	method	NOUN
ejpam-6725	564	4	for	for	ADP
ejpam-6725	564	5	the	the	DET
ejpam-6725	564	6	solution	solution	NOUN
ejpam-6725	564	7	of	of	ADP
ejpam-6725	564	8	fredholm	fredholm	ADJ
ejpam-6725	564	9	integral	integral	ADJ
ejpam-6725	564	10	equations	equation	NOUN
ejpam-6725	564	11	system	system	NOUN
ejpam-6725	564	12	.	.	PUNCT
ejpam-6725	565	1	ain	ain	PROPN
ejpam-6725	565	2	shams	sham	VERB
ejpam-6725	565	3	engineering	engineering	NOUN
ejpam-6725	565	4	journal	journal	NOUN
ejpam-6725	565	5	,	,	PUNCT
ejpam-6725	565	6	3(4):411–416	3(4):411–416	NUM
ejpam-6725	565	7	,	,	PUNCT
ejpam-6725	565	8	2012	2012	NUM
ejpam-6725	565	9	.	.	PUNCT
ejpam-6725	566	1	[	[	X
ejpam-6725	566	2	25	25	NUM
ejpam-6725	566	3	]	]	PUNCT
ejpam-6725	566	4	a.	a.	NOUN
ejpam-6725	566	5	golbabai	golbabai	NOUN
ejpam-6725	566	6	and	and	CCONJ
ejpam-6725	566	7	b.	b.	PROPN
ejpam-6725	566	8	keramati	keramati	PROPN
ejpam-6725	566	9	.	.	PUNCT
ejpam-6725	567	1	easy	easy	ADJ
ejpam-6725	567	2	computational	computational	ADJ
ejpam-6725	567	3	approach	approach	NOUN
ejpam-6725	567	4	to	to	ADP
ejpam-6725	567	5	solution	solution	NOUN
ejpam-6725	567	6	of	of	ADP
ejpam-6725	567	7	system	system	NOUN
ejpam-6725	567	8	of	of	ADP
ejpam-6725	567	9	linear	linear	ADJ
ejpam-6725	567	10	fredholm	fredholm	ADJ
ejpam-6725	567	11	integral	integral	ADJ
ejpam-6725	567	12	equations	equation	NOUN
ejpam-6725	567	13	.	.	PUNCT
ejpam-6725	568	1	chaos	chaos	NOUN
ejpam-6725	568	2	,	,	PUNCT
ejpam-6725	568	3	solitons	soliton	NOUN
ejpam-6725	568	4	and	and	CCONJ
ejpam-6725	568	5	fractals	fractal	NOUN
ejpam-6725	568	6	,	,	PUNCT
ejpam-6725	568	7	38(2):568–574	38(2):568–574	NUM
ejpam-6725	568	8	,	,	PUNCT
ejpam-6725	568	9	2008	2008	NUM
ejpam-6725	568	10	.	.	PUNCT
ejpam-6725	569	1	[	[	X
ejpam-6725	569	2	26	26	NUM
ejpam-6725	569	3	]	]	PUNCT
ejpam-6725	570	1	p.	p.	NOUN
ejpam-6725	570	2	k.	k.	PROPN
ejpam-6725	571	1	sahu	sahu	PROPN
ejpam-6725	571	2	and	and	CCONJ
ejpam-6725	571	3	s.	s.	PROPN
ejpam-6725	571	4	saha	saha	PROPN
ejpam-6725	571	5	ray	ray	PROPN
ejpam-6725	571	6	.	.	PUNCT
ejpam-6725	572	1	numerical	numerical	ADJ
ejpam-6725	572	2	solutions	solution	NOUN
ejpam-6725	572	3	for	for	ADP
ejpam-6725	572	4	the	the	DET
ejpam-6725	572	5	system	system	NOUN
ejpam-6725	572	6	of	of	ADP
ejpam-6725	572	7	fredholm	fredholm	ADJ
ejpam-6725	572	8	integral	integral	ADJ
ejpam-6725	572	9	equations	equation	NOUN
ejpam-6725	572	10	of	of	ADP
ejpam-6725	572	11	second	second	ADJ
ejpam-6725	572	12	kind	kind	NOUN
ejpam-6725	572	13	by	by	ADP
ejpam-6725	572	14	a	a	DET
ejpam-6725	572	15	new	new	ADJ
ejpam-6725	572	16	approach	approach	NOUN
ejpam-6725	572	17	involving	involve	VERB
ejpam-6725	572	18	semiorthogonal	semiorthogonal	ADJ
ejpam-6725	572	19	b	b	PROPN
ejpam-6725	572	20	-	-	PUNCT
ejpam-6725	572	21	spline	spline	NOUN
ejpam-6725	572	22	wavelet	wavelet	NOUN
ejpam-6725	572	23	collocation	collocation	NOUN
ejpam-6725	572	24	method	method	NOUN
ejpam-6725	572	25	.	.	PUNCT
ejpam-6725	573	1	applied	apply	VERB
ejpam-6725	573	2	mathematics	mathematic	NOUN
ejpam-6725	573	3	and	and	CCONJ
ejpam-6725	573	4	computation	computation	NOUN
ejpam-6725	573	5	,	,	PUNCT
ejpam-6725	573	6	234:368–379	234:368–379	NUM
ejpam-6725	573	7	,	,	PUNCT
ejpam-6725	573	8	2014	2014	NUM
ejpam-6725	573	9	.	.	PUNCT
ejpam-6725	574	1	[	[	X
ejpam-6725	574	2	27	27	NUM
ejpam-6725	574	3	]	]	X
ejpam-6725	574	4	h.	h.	PROPN
ejpam-6725	574	5	s.	s.	PROPN
ejpam-6725	574	6	najafi	najafi	PROPN
ejpam-6725	574	7	,	,	PUNCT
ejpam-6725	574	8	h.	h.	PROPN
ejpam-6725	574	9	aminikhah	aminikhah	PROPN
ejpam-6725	574	10	,	,	PUNCT
ejpam-6725	574	11	and	and	CCONJ
ejpam-6725	574	12	s.	s.	PROPN
ejpam-6725	574	13	a.	a.	PROPN
ejpam-6725	574	14	edalatpanah	edalatpanah	PROPN
ejpam-6725	574	15	.	.	PUNCT
ejpam-6725	575	1	linear	linear	PROPN
ejpam-6725	575	2	legendre	legendre	PROPN
ejpam-6725	575	3	multiwavelets	multiwavelet	NOUN
ejpam-6725	575	4	methods	method	NOUN
ejpam-6725	575	5	for	for	ADP
ejpam-6725	575	6	solving	solve	VERB
ejpam-6725	575	7	systems	system	NOUN
ejpam-6725	575	8	of	of	ADP
ejpam-6725	575	9	fredholm	fredholm	ADJ
ejpam-6725	575	10	integral	integral	ADJ
ejpam-6725	575	11	equations	equation	NOUN
ejpam-6725	575	12	.	.	PUNCT
ejpam-6725	576	1	mathematical	mathematical	ADJ
ejpam-6725	576	2	reports	report	NOUN
ejpam-6725	576	3	,	,	PUNCT
ejpam-6725	576	4	18:41–50	18:41–50	NUM
ejpam-6725	576	5	,	,	PUNCT
ejpam-6725	576	6	2016	2016	NUM
ejpam-6725	576	7	.	.	PUNCT
ejpam-6725	577	1	[	[	X
ejpam-6725	577	2	28	28	NUM
ejpam-6725	577	3	]	]	PUNCT
ejpam-6725	577	4	z.	z.	PROPN
ejpam-6725	577	5	elahi	elahi	PROPN
ejpam-6725	577	6	,	,	PUNCT
ejpam-6725	577	7	s.	s.	PROPN
ejpam-6725	577	8	s.	s.	PROPN
ejpam-6725	577	9	siddiqi	siddiqi	PROPN
ejpam-6725	577	10	,	,	PUNCT
ejpam-6725	577	11	and	and	CCONJ
ejpam-6725	577	12	g.	g.	PROPN
ejpam-6725	577	13	akram	akram	PROPN
ejpam-6725	577	14	.	.	PUNCT
ejpam-6725	578	1	laguerre	laguerre	PROPN
ejpam-6725	578	2	method	method	NOUN
ejpam-6725	578	3	for	for	ADP
ejpam-6725	578	4	solving	solve	VERB
ejpam-6725	578	5	linear	linear	NOUN
ejpam-6725	578	6	system	system	NOUN
ejpam-6725	578	7	of	of	ADP
ejpam-6725	578	8	fredholm	fredholm	ADJ
ejpam-6725	578	9	integral	integral	ADJ
ejpam-6725	578	10	equations	equation	NOUN
ejpam-6725	578	11	.	.	PUNCT
ejpam-6725	579	1	international	international	ADJ
ejpam-6725	579	2	journal	journal	PROPN
ejpam-6725	579	3	of	of	ADP
ejpam-6725	579	4	computer	computer	NOUN
ejpam-6725	579	5	mathematics	mathematic	NOUN
ejpam-6725	579	6	,	,	PUNCT
ejpam-6725	579	7	98(11):2175–2185	98(11):2175–2185	NOUN
ejpam-6725	579	8	,	,	PUNCT
ejpam-6725	579	9	2021	2021	NUM
ejpam-6725	579	10	.	.	PUNCT
ejpam-6725	580	1	m.	m.	NOUN
ejpam-6725	580	2	a.	a.	PROPN
ejpam-6725	580	3	ramadan	ramadan	PROPN
ejpam-6725	580	4	et	et	PROPN
ejpam-6725	580	5	al	al	PROPN
ejpam-6725	580	6	.	.	PUNCT
ejpam-6725	580	7	/	/	SYM
ejpam-6725	580	8	eur	eur	PROPN
ejpam-6725	580	9	.	.	PUNCT
ejpam-6725	581	1	j.	j.	PROPN
ejpam-6725	581	2	pure	pure	PROPN
ejpam-6725	581	3	appl	appl	PROPN
ejpam-6725	581	4	.	.	PROPN
ejpam-6725	581	5	math	math	PROPN
ejpam-6725	581	6	,	,	PUNCT
ejpam-6725	581	7	18	18	NUM
ejpam-6725	581	8	(	(	PUNCT
ejpam-6725	581	9	4	4	NUM
ejpam-6725	581	10	)	)	PUNCT
ejpam-6725	581	11	(	(	PUNCT
ejpam-6725	581	12	2025	2025	NUM
ejpam-6725	581	13	)	)	PUNCT
ejpam-6725	581	14	,	,	PUNCT
ejpam-6725	581	15	6725	6725	NUM
ejpam-6725	581	16	18	18	NUM
ejpam-6725	581	17	of	of	ADP
ejpam-6725	581	18	18	18	NUM
ejpam-6725	581	19	[	[	SYM
ejpam-6725	581	20	29	29	NUM
ejpam-6725	581	21	]	]	PUNCT
ejpam-6725	581	22	z.	z.	PROPN
ejpam-6725	581	23	elahi	elahi	PROPN
ejpam-6725	581	24	,	,	PUNCT
ejpam-6725	581	25	g.	g.	PROPN
ejpam-6725	581	26	akram	akram	PROPN
ejpam-6725	581	27	,	,	PUNCT
ejpam-6725	581	28	and	and	CCONJ
ejpam-6725	581	29	s.	s.	PROPN
ejpam-6725	581	30	s.	s.	PROPN
ejpam-6725	581	31	siddiqi	siddiqi	PROPN
ejpam-6725	581	32	.	.	PUNCT
ejpam-6725	582	1	laguerre	laguerre	PROPN
ejpam-6725	582	2	approach	approach	NOUN
ejpam-6725	582	3	for	for	ADP
ejpam-6725	582	4	solving	solve	VERB
ejpam-6725	582	5	system	system	NOUN
ejpam-6725	582	6	of	of	ADP
ejpam-6725	582	7	linear	linear	PROPN
ejpam-6725	582	8	fredholm	fredholm	NOUN
ejpam-6725	582	9	integrodifferential	integrodifferential	ADJ
ejpam-6725	582	10	equations	equation	NOUN
ejpam-6725	582	11	.	.	PUNCT
ejpam-6725	583	1	mathematical	mathematical	ADJ
ejpam-6725	583	2	sciences	sciences	PROPN
ejpam-6725	583	3	,	,	PUNCT
ejpam-6725	583	4	12(3):185–195	12(3):185–195	NOUN
ejpam-6725	583	5	,	,	PUNCT
ejpam-6725	583	6	2018	2018	NUM
ejpam-6725	583	7	.	.	PUNCT
ejpam-6725	584	1	[	[	X
ejpam-6725	584	2	30	30	NUM
ejpam-6725	584	3	]	]	PUNCT
ejpam-6725	584	4	z.	z.	PROPN
ejpam-6725	584	5	elahi	elahi	PROPN
ejpam-6725	584	6	,	,	PUNCT
ejpam-6725	584	7	g.	g.	PROPN
ejpam-6725	584	8	akram	akram	PROPN
ejpam-6725	584	9	,	,	PUNCT
ejpam-6725	584	10	and	and	CCONJ
ejpam-6725	584	11	s.	s.	PROPN
ejpam-6725	584	12	s.	s.	PROPN
ejpam-6725	584	13	siddiqi	siddiqi	PROPN
ejpam-6725	584	14	.	.	PUNCT
ejpam-6725	585	1	use	use	NOUN
ejpam-6725	585	2	of	of	ADP
ejpam-6725	585	3	bessel	bessel	ADJ
ejpam-6725	585	4	polynomials	polynomial	NOUN
ejpam-6725	585	5	for	for	ADP
ejpam-6725	585	6	solving	solve	VERB
ejpam-6725	585	7	differential	differential	ADJ
ejpam-6725	585	8	difference	difference	NOUN
ejpam-6725	585	9	equations	equation	NOUN
ejpam-6725	585	10	.	.	PUNCT
ejpam-6725	586	1	arab	arab	PROPN
ejpam-6725	586	2	journal	journal	PROPN
ejpam-6725	586	3	of	of	ADP
ejpam-6725	586	4	basic	basic	ADJ
ejpam-6725	586	5	and	and	CCONJ
ejpam-6725	586	6	applied	applied	ADJ
ejpam-6725	586	7	sciences	science	NOUN
ejpam-6725	586	8	,	,	PUNCT
ejpam-6725	586	9	26(1):23–29	26(1):23–29	NUM
ejpam-6725	586	10	,	,	PUNCT
ejpam-6725	586	11	2019	2019	NUM
ejpam-6725	586	12	.	.	PUNCT
ejpam-6725	587	1	[	[	X
ejpam-6725	587	2	31	31	NUM
ejpam-6725	587	3	]	]	PUNCT
ejpam-6725	587	4	m.	m.	NOUN
ejpam-6725	587	5	ramadan	ramadan	PROPN
ejpam-6725	587	6	,	,	PUNCT
ejpam-6725	587	7	h.	h.	PROPN
ejpam-6725	587	8	oshaba	oshaba	PROPN
ejpam-6725	587	9	,	,	PUNCT
ejpam-6725	587	10	and	and	CCONJ
ejpam-6725	587	11	r.	r.	PROPN
ejpam-6725	587	12	kharabsheh	kharabsheh	PROPN
ejpam-6725	587	13	.	.	PUNCT
ejpam-6725	588	1	triangular	triangular	NOUN
ejpam-6725	588	2	functions	function	NOUN
ejpam-6725	588	3	-	-	PUNCT
ejpam-6725	588	4	based	base	VERB
ejpam-6725	588	5	method	method	NOUN
ejpam-6725	588	6	for	for	ADP
ejpam-6725	588	7	the	the	DET
ejpam-6725	588	8	solution	solution	NOUN
ejpam-6725	588	9	of	of	ADP
ejpam-6725	588	10	system	system	NOUN
ejpam-6725	588	11	of	of	ADP
ejpam-6725	588	12	linear	linear	ADJ
ejpam-6725	588	13	fredholm	fredholm	ADJ
ejpam-6725	588	14	integral	integral	ADJ
ejpam-6725	588	15	equations	equation	NOUN
ejpam-6725	588	16	via	via	ADP
ejpam-6725	588	17	an	an	DET
ejpam-6725	588	18	efficient	efficient	ADJ
ejpam-6725	588	19	finite	finite	ADJ
ejpam-6725	588	20	iterative	iterative	NOUN
ejpam-6725	588	21	algorithm	algorithm	NOUN
ejpam-6725	588	22	.	.	PUNCT
ejpam-6725	589	1	journal	journal	NOUN
ejpam-6725	589	2	of	of	ADP
ejpam-6725	589	3	intelligent	intelligent	ADJ
ejpam-6725	589	4	and	and	CCONJ
ejpam-6725	589	5	fuzzy	fuzzy	ADJ
ejpam-6725	589	6	systems	system	NOUN
ejpam-6725	589	7	,	,	PUNCT
ejpam-6725	589	8	38(3):2847–2858	38(3):2847–2858	NUM
ejpam-6725	589	9	,	,	PUNCT
ejpam-6725	589	10	2020	2020	NUM
ejpam-6725	589	11	.	.	PUNCT
ejpam-6725	590	1	[	[	X
ejpam-6725	590	2	32	32	NUM
ejpam-6725	590	3	]	]	PUNCT
ejpam-6725	590	4	h.	h.	PROPN
ejpam-6725	590	5	m.	m.	PROPN
ejpam-6725	590	6	arafa	arafa	PROPN
ejpam-6725	590	7	and	and	CCONJ
ejpam-6725	590	8	m.	m.	PROPN
ejpam-6725	590	9	a.	a.	PROPN
ejpam-6725	590	10	ramadan	ramadan	PROPN
ejpam-6725	590	11	.	.	PUNCT
ejpam-6725	591	1	bernoulli	bernoulli	PROPN
ejpam-6725	591	2	wavelet	wavelet	PROPN
ejpam-6725	591	3	method	method	NOUN
ejpam-6725	591	4	for	for	ADP
ejpam-6725	591	5	numerical	numerical	ADJ
ejpam-6725	591	6	solution	solution	NOUN
ejpam-6725	591	7	of	of	ADP
ejpam-6725	591	8	linear	linear	ADJ
ejpam-6725	591	9	system	system	NOUN
ejpam-6725	591	10	of	of	ADP
ejpam-6725	591	11	fredholm	fredholm	ADJ
ejpam-6725	591	12	integral	integral	ADJ
ejpam-6725	591	13	equation	equation	NOUN
ejpam-6725	591	14	of	of	ADP
ejpam-6725	591	15	the	the	DET
ejpam-6725	591	16	second	second	ADJ
ejpam-6725	591	17	kind	kind	NOUN
ejpam-6725	591	18	.	.	PUNCT
ejpam-6725	592	1	alexandria	alexandria	PROPN
ejpam-6725	592	2	engineering	engineering	PROPN
ejpam-6725	592	3	journal	journal	PROPN
ejpam-6725	592	4	,	,	PUNCT
ejpam-6725	592	5	77:63–74	77:63–74	PROPN
ejpam-6725	592	6	,	,	PUNCT
ejpam-6725	592	7	2023	2023	NUM
ejpam-6725	592	8	.	.	PUNCT
ejpam-6725	593	1	[	[	X
ejpam-6725	593	2	33	33	NUM
ejpam-6725	593	3	]	]	X
ejpam-6725	593	4	m.a	m.a	PROPN
ejpam-6725	593	5	.	.	PROPN
ejpam-6725	593	6	ramadan	ramadan	PROPN
ejpam-6725	593	7	h.m	h.m	PROPN
ejpam-6725	593	8	.	.	PROPN
ejpam-6725	593	9	arafa	arafa	PROPN
ejpam-6725	593	10	.	.	PUNCT
ejpam-6725	594	1	bernoulli	bernoulli	PROPN
ejpam-6725	594	2	wavelet	wavelet	PROPN
ejpam-6725	594	3	method	method	NOUN
ejpam-6725	594	4	for	for	ADP
ejpam-6725	594	5	numerical	numerical	ADJ
ejpam-6725	594	6	solution	solution	NOUN
ejpam-6725	594	7	of	of	ADP
ejpam-6725	594	8	linear	linear	ADJ
ejpam-6725	594	9	system	system	NOUN
ejpam-6725	594	10	of	of	ADP
ejpam-6725	594	11	fredholm	fredholm	ADJ
ejpam-6725	594	12	integral	integral	ADJ
ejpam-6725	594	13	equation	equation	NOUN
ejpam-6725	594	14	of	of	ADP
ejpam-6725	594	15	the	the	DET
ejpam-6725	594	16	second	second	ADJ
ejpam-6725	594	17	kind	kind	NOUN
ejpam-6725	594	18	.	.	PUNCT
ejpam-6725	595	1	alexandria	alexandria	PROPN
ejpam-6725	595	2	engineering	engineering	PROPN
ejpam-6725	595	3	journal	journal	PROPN
ejpam-6725	595	4	,	,	PUNCT
ejpam-6725	595	5	77:64–75	77:64–75	PROPN
ejpam-6725	595	6	,	,	PUNCT
ejpam-6725	595	7	2023	2023	NUM
ejpam-6725	595	8	.	.	PUNCT