id	sid	tid	token	lemma	pos
ejpam-6229	1	1	european	european	PROPN
ejpam-6229	1	2	journal	journal	PROPN
ejpam-6229	1	3	of	of	ADP
ejpam-6229	1	4	pure	pure	ADJ
ejpam-6229	1	5	and	and	CCONJ
ejpam-6229	1	6	applied	applied	ADJ
ejpam-6229	1	7	mathematics	mathematic	NOUN
ejpam-6229	1	8	2025	2025	NUM
ejpam-6229	1	9	,	,	PUNCT
ejpam-6229	1	10	vol	vol	NOUN
ejpam-6229	1	11	.	.	PROPN
ejpam-6229	1	12	18	18	NUM
ejpam-6229	1	13	,	,	PUNCT
ejpam-6229	1	14	issue	issue	NOUN
ejpam-6229	1	15	3	3	NUM
ejpam-6229	1	16	,	,	PUNCT
ejpam-6229	1	17	article	article	NOUN
ejpam-6229	1	18	number	number	NOUN
ejpam-6229	1	19	6229	6229	NUM
ejpam-6229	1	20	issn	issn	PROPN
ejpam-6229	1	21	1307	1307	NUM
ejpam-6229	1	22	-	-	SYM
ejpam-6229	1	23	5543	5543	NUM
ejpam-6229	1	24	–	–	PUNCT
ejpam-6229	1	25	ejpam.com	ejpam.com	X
ejpam-6229	1	26	published	publish	VERB
ejpam-6229	1	27	by	by	ADP
ejpam-6229	1	28	new	new	PROPN
ejpam-6229	1	29	york	york	PROPN
ejpam-6229	1	30	business	business	PROPN
ejpam-6229	1	31	global	global	ADJ
ejpam-6229	1	32	new	new	ADJ
ejpam-6229	1	33	multi	multi	ADJ
ejpam-6229	1	34	-	-	ADJ
ejpam-6229	1	35	step	step	ADJ
ejpam-6229	1	36	collocation	collocation	NOUN
ejpam-6229	1	37	methods	method	NOUN
ejpam-6229	1	38	for	for	ADP
ejpam-6229	1	39	non	non	ADJ
ejpam-6229	1	40	-	-	ADJ
ejpam-6229	1	41	standard	standard	ADJ
ejpam-6229	1	42	volterra	volterra	NOUN
ejpam-6229	1	43	integral	integral	ADJ
ejpam-6229	1	44	equations	equation	NOUN
ejpam-6229	1	45	hayder	hayder	VERB
ejpam-6229	1	46	abdullah	abdullah	PROPN
ejpam-6229	1	47	thabbah1	thabbah1	PROPN
ejpam-6229	1	48	,	,	PUNCT
ejpam-6229	1	49	saeed	saeed	PROPN
ejpam-6229	1	50	pishbin1	pishbin1	PROPN
ejpam-6229	1	51	,	,	PUNCT
ejpam-6229	1	52	parviz	parviz	ADJ
ejpam-6229	1	53	darania1,∗	darania1,∗	NOUN
ejpam-6229	1	54	,	,	PUNCT
ejpam-6229	1	55	1	1	NUM
ejpam-6229	1	56	department	department	NOUN
ejpam-6229	1	57	of	of	ADP
ejpam-6229	1	58	mathematics	mathematics	PROPN
ejpam-6229	1	59	,	,	PUNCT
ejpam-6229	1	60	urmia	urmia	PROPN
ejpam-6229	1	61	university	university	PROPN
ejpam-6229	1	62	,	,	PUNCT
ejpam-6229	1	63	urmia	urmia	PROPN
ejpam-6229	1	64	,	,	PUNCT
ejpam-6229	1	65	iran	iran	PROPN
ejpam-6229	1	66	abstract	abstract	NOUN
ejpam-6229	1	67	.	.	PUNCT
ejpam-6229	2	1	non	non	ADJ
ejpam-6229	2	2	-	-	ADJ
ejpam-6229	2	3	standard	standard	ADJ
ejpam-6229	2	4	volterra	volterra	NOUN
ejpam-6229	2	5	integral	integral	ADJ
ejpam-6229	2	6	equations	equation	NOUN
ejpam-6229	2	7	are	be	AUX
ejpam-6229	2	8	in	in	ADP
ejpam-6229	2	9	the	the	DET
ejpam-6229	2	10	category	category	NOUN
ejpam-6229	2	11	of	of	ADP
ejpam-6229	2	12	non	non	ADJ
ejpam-6229	2	13	-	-	ADJ
ejpam-6229	2	14	linear	linear	ADJ
ejpam-6229	2	15	volterra	volterra	NOUN
ejpam-6229	2	16	integral	integral	ADJ
ejpam-6229	2	17	equations	equation	NOUN
ejpam-6229	2	18	which	which	PRON
ejpam-6229	2	19	appear	appear	VERB
ejpam-6229	2	20	in	in	ADP
ejpam-6229	2	21	certain	certain	ADJ
ejpam-6229	2	22	mathematical	mathematical	ADJ
ejpam-6229	2	23	modelling	modelling	NOUN
ejpam-6229	2	24	processes	process	NOUN
ejpam-6229	2	25	.	.	PUNCT
ejpam-6229	3	1	in	in	ADP
ejpam-6229	3	2	the	the	DET
ejpam-6229	3	3	current	current	ADJ
ejpam-6229	3	4	study	study	NOUN
ejpam-6229	3	5	,	,	PUNCT
ejpam-6229	3	6	new	new	ADJ
ejpam-6229	3	7	multi	multi	ADJ
ejpam-6229	3	8	-	-	ADJ
ejpam-6229	3	9	step	step	ADJ
ejpam-6229	3	10	collocation	collocation	NOUN
ejpam-6229	3	11	techniques	technique	NOUN
ejpam-6229	3	12	have	have	AUX
ejpam-6229	3	13	been	be	AUX
ejpam-6229	3	14	employed	employ	VERB
ejpam-6229	3	15	to	to	PART
ejpam-6229	3	16	numerically	numerically	ADV
ejpam-6229	3	17	address	address	VERB
ejpam-6229	3	18	non	non	ADJ
ejpam-6229	3	19	-	-	ADJ
ejpam-6229	3	20	standard	standard	ADJ
ejpam-6229	3	21	volterra	volterra	NOUN
ejpam-6229	3	22	integral	integral	ADJ
ejpam-6229	3	23	equations	equation	NOUN
ejpam-6229	3	24	.	.	PUNCT
ejpam-6229	4	1	several	several	ADJ
ejpam-6229	4	2	established	establish	VERB
ejpam-6229	4	3	outcomes	outcome	NOUN
ejpam-6229	4	4	concerning	concern	VERB
ejpam-6229	4	5	convergence	convergence	NOUN
ejpam-6229	4	6	of	of	ADP
ejpam-6229	4	7	the	the	DET
ejpam-6229	4	8	numerical	numerical	ADJ
ejpam-6229	4	9	solution	solution	NOUN
ejpam-6229	4	10	for	for	ADP
ejpam-6229	4	11	this	this	DET
ejpam-6229	4	12	problem	problem	NOUN
ejpam-6229	4	13	are	be	AUX
ejpam-6229	4	14	investigated	investigate	VERB
ejpam-6229	4	15	.	.	PUNCT
ejpam-6229	5	1	in	in	ADP
ejpam-6229	5	2	conclusion	conclusion	NOUN
ejpam-6229	5	3	,	,	PUNCT
ejpam-6229	5	4	two	two	NUM
ejpam-6229	5	5	test	test	NOUN
ejpam-6229	5	6	problems	problem	NOUN
ejpam-6229	5	7	are	be	AUX
ejpam-6229	5	8	thoroughly	thoroughly	ADV
ejpam-6229	5	9	examined	examine	VERB
ejpam-6229	5	10	to	to	PART
ejpam-6229	5	11	substantiate	substantiate	VERB
ejpam-6229	5	12	theoretical	theoretical	ADJ
ejpam-6229	5	13	accomplishments	accomplishment	NOUN
ejpam-6229	5	14	in	in	ADP
ejpam-6229	5	15	practical	practical	ADJ
ejpam-6229	5	16	terms	term	NOUN
ejpam-6229	5	17	.	.	PUNCT
ejpam-6229	6	1	also	also	ADV
ejpam-6229	6	2	,	,	PUNCT
ejpam-6229	6	3	we	we	PRON
ejpam-6229	6	4	apply	apply	VERB
ejpam-6229	6	5	one	one	NUM
ejpam-6229	6	6	-	-	PUNCT
ejpam-6229	6	7	step	step	NOUN
ejpam-6229	6	8	and	and	CCONJ
ejpam-6229	6	9	multi	multi	ADJ
ejpam-6229	6	10	-	-	ADJ
ejpam-6229	6	11	step	step	ADJ
ejpam-6229	6	12	collocation	collocation	NOUN
ejpam-6229	6	13	methods	method	NOUN
ejpam-6229	6	14	to	to	PART
ejpam-6229	6	15	solve	solve	VERB
ejpam-6229	6	16	non	non	ADJ
ejpam-6229	6	17	-	-	ADJ
ejpam-6229	6	18	standard	standard	ADJ
ejpam-6229	6	19	volterra	volterra	NOUN
ejpam-6229	6	20	integral	integral	ADJ
ejpam-6229	6	21	equations	equation	NOUN
ejpam-6229	6	22	and	and	CCONJ
ejpam-6229	6	23	compare	compare	VERB
ejpam-6229	6	24	numerical	numerical	ADJ
ejpam-6229	6	25	results	result	NOUN
ejpam-6229	6	26	to	to	PART
ejpam-6229	6	27	show	show	VERB
ejpam-6229	6	28	the	the	DET
ejpam-6229	6	29	efficiency	efficiency	NOUN
ejpam-6229	6	30	and	and	CCONJ
ejpam-6229	6	31	high	high	ADJ
ejpam-6229	6	32	accuracy	accuracy	NOUN
ejpam-6229	6	33	of	of	ADP
ejpam-6229	6	34	the	the	DET
ejpam-6229	6	35	proposed	propose	VERB
ejpam-6229	6	36	method	method	NOUN
ejpam-6229	6	37	.	.	PUNCT
ejpam-6229	7	1	2020	2020	NUM
ejpam-6229	7	2	mathematics	mathematic	NOUN
ejpam-6229	7	3	subject	subject	NOUN
ejpam-6229	7	4	classifications	classification	NOUN
ejpam-6229	7	5	:	:	PUNCT
ejpam-6229	7	6	65r20	65r20	NUM
ejpam-6229	7	7	,	,	PUNCT
ejpam-6229	7	8	45g10	45g10	NUM
ejpam-6229	7	9	key	key	ADJ
ejpam-6229	7	10	words	word	NOUN
ejpam-6229	7	11	and	and	CCONJ
ejpam-6229	7	12	phrases	phrase	NOUN
ejpam-6229	7	13	:	:	PUNCT
ejpam-6229	7	14	non	non	ADJ
ejpam-6229	7	15	-	-	ADJ
ejpam-6229	7	16	standard	standard	ADJ
ejpam-6229	7	17	volterra	volterra	NOUN
ejpam-6229	7	18	integral	integral	ADJ
ejpam-6229	7	19	equations	equation	NOUN
ejpam-6229	7	20	(	(	PUNCT
ejpam-6229	7	21	nvies	nvie	NOUN
ejpam-6229	7	22	)	)	PUNCT
ejpam-6229	7	23	,	,	PUNCT
ejpam-6229	7	24	volterra	volterra	PROPN
ejpam-6229	7	25	integral	integral	ADJ
ejpam-6229	7	26	equations	equation	NOUN
ejpam-6229	7	27	(	(	PUNCT
ejpam-6229	7	28	vies	vie	NOUN
ejpam-6229	7	29	)	)	PUNCT
ejpam-6229	7	30	,	,	PUNCT
ejpam-6229	7	31	error	error	NOUN
ejpam-6229	7	32	analysis	analysis	NOUN
ejpam-6229	7	33	,	,	PUNCT
ejpam-6229	7	34	multi	multi	ADJ
ejpam-6229	7	35	-	-	ADJ
ejpam-6229	7	36	step	step	ADJ
ejpam-6229	7	37	collocation	collocation	NOUN
ejpam-6229	7	38	methods	method	NOUN
ejpam-6229	7	39	.	.	PUNCT
ejpam-6229	8	1	1	1	X
ejpam-6229	8	2	.	.	X
ejpam-6229	8	3	introduction	introduction	NOUN
ejpam-6229	8	4	in	in	ADP
ejpam-6229	8	5	general	general	ADJ
ejpam-6229	8	6	,	,	PUNCT
ejpam-6229	8	7	the	the	DET
ejpam-6229	8	8	kernels	kernel	NOUN
ejpam-6229	8	9	of	of	ADP
ejpam-6229	8	10	integral	integral	ADJ
ejpam-6229	8	11	equations	equation	NOUN
ejpam-6229	8	12	are	be	AUX
ejpam-6229	8	13	in	in	ADP
ejpam-6229	8	14	the	the	DET
ejpam-6229	8	15	form	form	NOUN
ejpam-6229	8	16	k(t	k(t	PROPN
ejpam-6229	8	17	,	,	PUNCT
ejpam-6229	8	18	s	s	X
ejpam-6229	8	19	,	,	PUNCT
ejpam-6229	8	20	x(s	x(s	PROPN
ejpam-6229	8	21	)	)	PUNCT
ejpam-6229	8	22	)	)	PUNCT
ejpam-6229	8	23	.	.	PUNCT
ejpam-6229	9	1	but	but	CCONJ
ejpam-6229	9	2	in	in	ADP
ejpam-6229	9	3	some	some	DET
ejpam-6229	9	4	scientific	scientific	ADJ
ejpam-6229	9	5	and	and	CCONJ
ejpam-6229	9	6	engineering	engineering	NOUN
ejpam-6229	9	7	applications	application	NOUN
ejpam-6229	9	8	,	,	PUNCT
ejpam-6229	9	9	especially	especially	ADV
ejpam-6229	9	10	in	in	ADP
ejpam-6229	9	11	physical	physical	ADJ
ejpam-6229	9	12	sciences	science	NOUN
ejpam-6229	9	13	,	,	PUNCT
ejpam-6229	9	14	a	a	DET
ejpam-6229	9	15	special	special	ADJ
ejpam-6229	9	16	case	case	NOUN
ejpam-6229	9	17	of	of	ADP
ejpam-6229	9	18	nonlinear	nonlinear	ADJ
ejpam-6229	9	19	integral	integral	ADJ
ejpam-6229	9	20	equations	equation	NOUN
ejpam-6229	9	21	appears	appear	VERB
ejpam-6229	9	22	,	,	PUNCT
ejpam-6229	9	23	where	where	SCONJ
ejpam-6229	9	24	the	the	DET
ejpam-6229	9	25	kernels	kernel	NOUN
ejpam-6229	9	26	of	of	ADP
ejpam-6229	9	27	the	the	DET
ejpam-6229	9	28	equation	equation	NOUN
ejpam-6229	9	29	is	be	AUX
ejpam-6229	9	30	dependent	dependent	ADJ
ejpam-6229	9	31	on	on	ADP
ejpam-6229	9	32	time	time	NOUN
ejpam-6229	9	33	t	t	PROPN
ejpam-6229	9	34	as	as	ADV
ejpam-6229	9	35	well	well	ADV
ejpam-6229	9	36	as	as	ADP
ejpam-6229	9	37	space	space	NOUN
ejpam-6229	9	38	s.	s.	PROPN
ejpam-6229	9	39	this	this	DET
ejpam-6229	9	40	dependence	dependence	NOUN
ejpam-6229	9	41	of	of	ADP
ejpam-6229	9	42	the	the	DET
ejpam-6229	9	43	kernels	kernel	NOUN
ejpam-6229	9	44	is	be	AUX
ejpam-6229	9	45	shown	show	VERB
ejpam-6229	9	46	in	in	ADP
ejpam-6229	9	47	the	the	DET
ejpam-6229	9	48	general	general	ADJ
ejpam-6229	9	49	form	form	NOUN
ejpam-6229	9	50	as	as	ADP
ejpam-6229	9	51	k(t	k(t	PROPN
ejpam-6229	9	52	,	,	PUNCT
ejpam-6229	9	53	s	s	X
ejpam-6229	9	54	,	,	PUNCT
ejpam-6229	9	55	x(t	x(t	PROPN
ejpam-6229	9	56	)	)	PUNCT
ejpam-6229	9	57	,	,	PUNCT
ejpam-6229	9	58	x(s	x(s	PROPN
ejpam-6229	9	59	)	)	PUNCT
ejpam-6229	9	60	)	)	PUNCT
ejpam-6229	9	61	.	.	PUNCT
ejpam-6229	10	1	therefore	therefore	ADV
ejpam-6229	10	2	,	,	PUNCT
ejpam-6229	10	3	integral	integral	ADJ
ejpam-6229	10	4	equations	equation	NOUN
ejpam-6229	10	5	including	include	VERB
ejpam-6229	10	6	these	these	DET
ejpam-6229	10	7	types	type	NOUN
ejpam-6229	10	8	of	of	ADP
ejpam-6229	10	9	kernels	kernel	NOUN
ejpam-6229	10	10	are	be	AUX
ejpam-6229	10	11	called	call	VERB
ejpam-6229	10	12	non	non	ADJ
ejpam-6229	10	13	-	-	ADJ
ejpam-6229	10	14	standard	standard	ADJ
ejpam-6229	10	15	integral	integral	ADJ
ejpam-6229	10	16	equations	equation	NOUN
ejpam-6229	10	17	.	.	PUNCT
ejpam-6229	11	1	a	a	DET
ejpam-6229	11	2	non	non	ADJ
ejpam-6229	11	3	-	-	ADJ
ejpam-6229	11	4	linear	linear	ADJ
ejpam-6229	11	5	vie	vie	PROPN
ejpam-6229	11	6	as	as	ADP
ejpam-6229	11	7	y(σ	y(σ	PROPN
ejpam-6229	11	8	)	)	PUNCT
ejpam-6229	11	9	=	=	PUNCT
ejpam-6229	11	10	f(σ	f(σ	PROPN
ejpam-6229	11	11	)	)	PUNCT
ejpam-6229	12	1	+	+	NUM
ejpam-6229	12	2	∫	∫	PROPN
ejpam-6229	12	3	σ	σ	NOUN
ejpam-6229	12	4	0	0	NUM
ejpam-6229	12	5	k(σ	k(σ	PROPN
ejpam-6229	12	6	,	,	PUNCT
ejpam-6229	12	7	τ	τ	PROPN
ejpam-6229	12	8	,	,	PUNCT
ejpam-6229	12	9	y(σ	y(σ	PROPN
ejpam-6229	12	10	)	)	PUNCT
ejpam-6229	12	11	,	,	PUNCT
ejpam-6229	12	12	y(τ))dτ	y(τ))dτ	PROPN
ejpam-6229	12	13	,	,	PUNCT
ejpam-6229	12	14	σ	σ	PROPN
ejpam-6229	12	15	∈	∈	PROPN
ejpam-6229	13	1	[	[	X
ejpam-6229	13	2	0	0	NUM
ejpam-6229	13	3	,	,	PUNCT
ejpam-6229	13	4	t	t	NOUN
ejpam-6229	13	5	]	]	PUNCT
ejpam-6229	13	6	=	=	PUNCT
ejpam-6229	13	7	i	i	PROPN
ejpam-6229	13	8	,	,	PUNCT
ejpam-6229	13	9	(	(	PUNCT
ejpam-6229	13	10	1	1	X
ejpam-6229	13	11	)	)	PUNCT
ejpam-6229	13	12	is	be	AUX
ejpam-6229	13	13	called	call	VERB
ejpam-6229	13	14	a	a	DET
ejpam-6229	13	15	nvies	nvie	NOUN
ejpam-6229	13	16	.	.	PUNCT
ejpam-6229	14	1	different	different	ADJ
ejpam-6229	14	2	kind	kind	NOUN
ejpam-6229	14	3	of	of	ADP
ejpam-6229	14	4	physical	physical	ADJ
ejpam-6229	14	5	and	and	CCONJ
ejpam-6229	14	6	biological	biological	ADJ
ejpam-6229	14	7	phenomena	phenomenon	NOUN
ejpam-6229	14	8	that	that	PRON
ejpam-6229	14	9	lead	lead	VERB
ejpam-6229	14	10	to	to	ADP
ejpam-6229	14	11	nvies	nvie	NOUN
ejpam-6229	14	12	(	(	PUNCT
ejpam-6229	14	13	1	1	X
ejpam-6229	14	14	)	)	PUNCT
ejpam-6229	14	15	can	can	AUX
ejpam-6229	14	16	be	be	AUX
ejpam-6229	14	17	found	find	VERB
ejpam-6229	14	18	in	in	ADP
ejpam-6229	14	19	[	[	X
ejpam-6229	14	20	1–5	1–5	X
ejpam-6229	14	21	]	]	X
ejpam-6229	14	22	.	.	PUNCT
ejpam-6229	15	1	some	some	DET
ejpam-6229	15	2	researchers	researcher	NOUN
ejpam-6229	15	3	[	[	X
ejpam-6229	15	4	6–12	6–12	NOUN
ejpam-6229	15	5	]	]	PUNCT
ejpam-6229	15	6	have	have	AUX
ejpam-6229	15	7	investigated	investigate	VERB
ejpam-6229	15	8	a	a	DET
ejpam-6229	15	9	number	number	NOUN
ejpam-6229	15	10	of	of	ADP
ejpam-6229	15	11	these	these	DET
ejpam-6229	15	12	non	non	ADJ
ejpam-6229	15	13	-	-	ADJ
ejpam-6229	15	14	standard	standard	ADJ
ejpam-6229	15	15	integral	integral	ADJ
ejpam-6229	15	16	equations	equation	NOUN
ejpam-6229	15	17	such	such	ADJ
ejpam-6229	15	18	as	as	ADP
ejpam-6229	15	19	auto	auto	NOUN
ejpam-6229	15	20	convolution	convolution	NOUN
ejpam-6229	15	21	equations	equation	NOUN
ejpam-6229	15	22	and	and	CCONJ
ejpam-6229	15	23	implicit	implicit	ADJ
ejpam-6229	15	24	vies	vie	NOUN
ejpam-6229	15	25	.	.	PUNCT
ejpam-6229	16	1	∗corresponding	∗corresponde	VERB
ejpam-6229	16	2	author	author	NOUN
ejpam-6229	16	3	.	.	PUNCT
ejpam-6229	17	1	doi	doi	NOUN
ejpam-6229	17	2	:	:	PUNCT
ejpam-6229	17	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6229	https://doi.org/10.29020/nybg.ejpam.v18i3.6229	X
ejpam-6229	17	4	email	email	NOUN
ejpam-6229	17	5	addresses	address	NOUN
ejpam-6229	17	6	:	:	PUNCT
ejpam-6229	17	7	haider20206021@yahoo.com	haider20206021@yahoo.com	X
ejpam-6229	17	8	(	(	PUNCT
ejpam-6229	17	9	h.	h.	PROPN
ejpam-6229	17	10	a.	a.	PROPN
ejpam-6229	17	11	thabbah	thabbah	PROPN
ejpam-6229	17	12	)	)	PUNCT
ejpam-6229	17	13	,	,	PUNCT
ejpam-6229	17	14	s.pishbin@urmia.ac.ir	s.pishbin@urmia.ac.ir	PROPN
ejpam-6229	17	15	(	(	PUNCT
ejpam-6229	17	16	s.	s.	PROPN
ejpam-6229	17	17	pishbin	pishbin	PROPN
ejpam-6229	17	18	)	)	PUNCT
ejpam-6229	17	19	,	,	PUNCT
ejpam-6229	17	20	p.darania@urmia.ac.ir	p.darania@urmia.ac.ir	PROPN
ejpam-6229	17	21	(	(	PUNCT
ejpam-6229	17	22	p.	p.	NOUN
ejpam-6229	17	23	darania	darania	PROPN
ejpam-6229	17	24	)	)	PUNCT
ejpam-6229	17	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6229	18	1	1	1	NUM
ejpam-6229	18	2	copyright	copyright	NOUN
ejpam-6229	18	3	:	:	PUNCT
ejpam-6229	18	4	©	©	PROPN
ejpam-6229	18	5	2025	2025	NUM
ejpam-6229	18	6	the	the	DET
ejpam-6229	18	7	author(s	author(s	NOUN
ejpam-6229	18	8	)	)	PUNCT
ejpam-6229	18	9	.	.	PUNCT
ejpam-6229	19	1	(	(	PUNCT
ejpam-6229	19	2	cc	cc	NOUN
ejpam-6229	19	3	by	by	ADP
ejpam-6229	19	4	-	-	PUNCT
ejpam-6229	19	5	nc	nc	PROPN
ejpam-6229	19	6	4.0	4.0	NUM
ejpam-6229	19	7	)	)	PUNCT
ejpam-6229	19	8	h.	h.	PROPN
ejpam-6229	19	9	a.	a.	NOUN
ejpam-6229	19	10	thabbah	thabbah	PROPN
ejpam-6229	19	11	,	,	PUNCT
ejpam-6229	19	12	s.	s.	PROPN
ejpam-6229	19	13	pishbin	pishbin	PROPN
ejpam-6229	19	14	,	,	PUNCT
ejpam-6229	19	15	p.	p.	NOUN
ejpam-6229	19	16	darania	darania	PROPN
ejpam-6229	19	17	/	/	SYM
ejpam-6229	19	18	eur	eur	PROPN
ejpam-6229	19	19	.	.	PUNCT
ejpam-6229	20	1	j.	j.	PROPN
ejpam-6229	20	2	pure	pure	PROPN
ejpam-6229	20	3	appl	appl	PROPN
ejpam-6229	20	4	.	.	PROPN
ejpam-6229	20	5	math	math	PROPN
ejpam-6229	20	6	,	,	PUNCT
ejpam-6229	20	7	18	18	NUM
ejpam-6229	20	8	(	(	PUNCT
ejpam-6229	20	9	3	3	NUM
ejpam-6229	20	10	)	)	PUNCT
ejpam-6229	20	11	(	(	PUNCT
ejpam-6229	20	12	2025	2025	NUM
ejpam-6229	20	13	)	)	PUNCT
ejpam-6229	20	14	,	,	PUNCT
ejpam-6229	20	15	6229	6229	NUM
ejpam-6229	20	16	2	2	NUM
ejpam-6229	20	17	of	of	ADP
ejpam-6229	20	18	16	16	NUM
ejpam-6229	20	19	certain	certain	ADJ
ejpam-6229	20	20	established	establish	VERB
ejpam-6229	20	21	outcomes	outcome	NOUN
ejpam-6229	20	22	rooted	root	VERB
ejpam-6229	20	23	in	in	ADP
ejpam-6229	20	24	regularity	regularity	NOUN
ejpam-6229	20	25	,	,	PUNCT
ejpam-6229	20	26	existence	existence	NOUN
ejpam-6229	20	27	,	,	PUNCT
ejpam-6229	20	28	uniqueness	uniqueness	NOUN
ejpam-6229	20	29	,	,	PUNCT
ejpam-6229	20	30	as	as	ADV
ejpam-6229	20	31	well	well	ADV
ejpam-6229	20	32	as	as	ADP
ejpam-6229	20	33	the	the	DET
ejpam-6229	20	34	convergence	convergence	NOUN
ejpam-6229	20	35	of	of	ADP
ejpam-6229	20	36	the	the	DET
ejpam-6229	20	37	solution	solution	NOUN
ejpam-6229	20	38	for	for	ADP
ejpam-6229	20	39	the	the	DET
ejpam-6229	20	40	general	general	ADJ
ejpam-6229	20	41	auto	auto	NOUN
ejpam-6229	20	42	-	-	PUNCT
ejpam-6229	20	43	convolution	convolution	NOUN
ejpam-6229	20	44	volterra	volterra	NOUN
ejpam-6229	20	45	integral	integral	ADJ
ejpam-6229	20	46	equations	equation	NOUN
ejpam-6229	20	47	studied	study	VERB
ejpam-6229	20	48	by	by	ADP
ejpam-6229	20	49	zhang	zhang	PROPN
ejpam-6229	20	50	et	et	PROPN
ejpam-6229	20	51	al	al	PROPN
ejpam-6229	21	1	[	[	X
ejpam-6229	21	2	12	12	NUM
ejpam-6229	21	3	]	]	PUNCT
ejpam-6229	21	4	.	.	PUNCT
ejpam-6229	22	1	guan	guan	PROPN
ejpam-6229	22	2	et	et	PROPN
ejpam-6229	22	3	al	al	PROPN
ejpam-6229	22	4	.	.	PUNCT
ejpam-6229	23	1	in	in	ADP
ejpam-6229	23	2	[	[	X
ejpam-6229	23	3	13	13	NUM
ejpam-6229	23	4	]	]	PUNCT
ejpam-6229	23	5	,	,	PUNCT
ejpam-6229	23	6	studied	study	VERB
ejpam-6229	23	7	nvies	nvie	NOUN
ejpam-6229	23	8	(	(	PUNCT
ejpam-6229	23	9	1	1	NUM
ejpam-6229	23	10	)	)	PUNCT
ejpam-6229	23	11	and	and	CCONJ
ejpam-6229	23	12	obtained	obtain	VERB
ejpam-6229	23	13	several	several	ADJ
ejpam-6229	23	14	positive	positive	ADJ
ejpam-6229	23	15	outcomes	outcome	NOUN
ejpam-6229	23	16	concerning	concern	VERB
ejpam-6229	23	17	regularity	regularity	NOUN
ejpam-6229	23	18	,	,	PUNCT
ejpam-6229	23	19	existence	existence	NOUN
ejpam-6229	23	20	,	,	PUNCT
ejpam-6229	23	21	uniqueness	uniqueness	NOUN
ejpam-6229	23	22	,	,	PUNCT
ejpam-6229	23	23	and	and	CCONJ
ejpam-6229	23	24	convergence	convergence	NOUN
ejpam-6229	23	25	of	of	ADP
ejpam-6229	23	26	the	the	DET
ejpam-6229	23	27	one	one	NUM
ejpam-6229	23	28	-	-	PUNCT
ejpam-6229	23	29	step	step	NOUN
ejpam-6229	23	30	collocation	collocation	NOUN
ejpam-6229	23	31	method	method	NOUN
ejpam-6229	23	32	for	for	ADP
ejpam-6229	23	33	this	this	DET
ejpam-6229	23	34	equation	equation	NOUN
ejpam-6229	23	35	.	.	PUNCT
ejpam-6229	24	1	in	in	ADP
ejpam-6229	24	2	[	[	X
ejpam-6229	24	3	14	14	NUM
ejpam-6229	24	4	]	]	PUNCT
ejpam-6229	24	5	,	,	PUNCT
ejpam-6229	24	6	the	the	DET
ejpam-6229	24	7	authors	author	NOUN
ejpam-6229	24	8	by	by	ADP
ejpam-6229	24	9	adding	add	VERB
ejpam-6229	24	10	conditions	condition	NOUN
ejpam-6229	24	11	for	for	ADP
ejpam-6229	24	12	interpolation	interpolation	NOUN
ejpam-6229	24	13	in	in	ADP
ejpam-6229	24	14	the	the	DET
ejpam-6229	24	15	previous	previous	ADJ
ejpam-6229	24	16	r	r	NOUN
ejpam-6229	24	17	step	step	NOUN
ejpam-6229	24	18	points	point	NOUN
ejpam-6229	24	19	,	,	PUNCT
ejpam-6229	24	20	applied	apply	VERB
ejpam-6229	24	21	multi	multi	ADJ
ejpam-6229	24	22	-	-	ADJ
ejpam-6229	24	23	step	step	ADJ
ejpam-6229	24	24	collocation	collocation	NOUN
ejpam-6229	24	25	scheme	scheme	NOUN
ejpam-6229	24	26	to	to	PART
ejpam-6229	24	27	solve	solve	VERB
ejpam-6229	24	28	the	the	DET
ejpam-6229	24	29	equation	equation	NOUN
ejpam-6229	24	30	(	(	PUNCT
ejpam-6229	24	31	1	1	NUM
ejpam-6229	24	32	)	)	PUNCT
ejpam-6229	24	33	and	and	CCONJ
ejpam-6229	24	34	increased	increase	VERB
ejpam-6229	24	35	the	the	DET
ejpam-6229	24	36	order	order	NOUN
ejpam-6229	24	37	of	of	ADP
ejpam-6229	24	38	convergence	convergence	NOUN
ejpam-6229	24	39	for	for	ADP
ejpam-6229	24	40	the	the	DET
ejpam-6229	24	41	m	m	NOUN
ejpam-6229	24	42	points	point	NOUN
ejpam-6229	24	43	and	and	CCONJ
ejpam-6229	24	44	r	r	NOUN
ejpam-6229	24	45	steps	step	NOUN
ejpam-6229	24	46	to	to	PART
ejpam-6229	24	47	m+	m+	VERB
ejpam-6229	24	48	r	r	NOUN
ejpam-6229	24	49	compared	compare	VERB
ejpam-6229	24	50	with	with	ADP
ejpam-6229	24	51	the	the	DET
ejpam-6229	24	52	one	one	NUM
ejpam-6229	24	53	-	-	PUNCT
ejpam-6229	24	54	step	step	NOUN
ejpam-6229	24	55	collocation	collocation	NOUN
ejpam-6229	24	56	method	method	NOUN
ejpam-6229	24	57	(	(	PUNCT
ejpam-6229	24	58	order	order	NOUN
ejpam-6229	24	59	of	of	ADP
ejpam-6229	24	60	convergence	convergence	NOUN
ejpam-6229	24	61	is	be	AUX
ejpam-6229	24	62	m	m	PRON
ejpam-6229	24	63	[	[	X
ejpam-6229	24	64	13	13	NUM
ejpam-6229	24	65	]	]	NUM
ejpam-6229	24	66	)	)	PUNCT
ejpam-6229	24	67	.	.	PUNCT
ejpam-6229	25	1	actually	actually	ADV
ejpam-6229	25	2	,	,	PUNCT
ejpam-6229	25	3	nonlinear	nonlinear	ADJ
ejpam-6229	25	4	vies	vie	NOUN
ejpam-6229	25	5	originate	originate	VERB
ejpam-6229	25	6	in	in	ADP
ejpam-6229	25	7	various	various	ADJ
ejpam-6229	25	8	scientific	scientific	ADJ
ejpam-6229	25	9	realms	realm	NOUN
ejpam-6229	25	10	and	and	CCONJ
ejpam-6229	25	11	this	this	PRON
ejpam-6229	25	12	is	be	AUX
ejpam-6229	25	13	the	the	DET
ejpam-6229	25	14	primary	primary	ADJ
ejpam-6229	25	15	reason	reason	NOUN
ejpam-6229	25	16	why	why	SCONJ
ejpam-6229	25	17	they	they	PRON
ejpam-6229	25	18	were	be	AUX
ejpam-6229	25	19	a	a	DET
ejpam-6229	25	20	subject	subject	NOUN
ejpam-6229	25	21	of	of	ADP
ejpam-6229	25	22	refined	refined	ADJ
ejpam-6229	25	23	investigation	investigation	NOUN
ejpam-6229	25	24	from	from	ADP
ejpam-6229	25	25	the	the	DET
ejpam-6229	25	26	both	both	CCONJ
ejpam-6229	25	27	theoretical	theoretical	ADJ
ejpam-6229	25	28	and	and	CCONJ
ejpam-6229	25	29	numerical	numerical	ADJ
ejpam-6229	25	30	perspectives	perspective	NOUN
ejpam-6229	25	31	so	so	ADV
ejpam-6229	25	32	far	far	ADV
ejpam-6229	25	33	.	.	PUNCT
ejpam-6229	26	1	specifically	specifically	ADV
ejpam-6229	26	2	,	,	PUNCT
ejpam-6229	26	3	they	they	PRON
ejpam-6229	26	4	span	span	VERB
ejpam-6229	26	5	a	a	DET
ejpam-6229	26	6	wide	wide	ADJ
ejpam-6229	26	7	range	range	NOUN
ejpam-6229	26	8	of	of	ADP
ejpam-6229	26	9	applied	apply	VERB
ejpam-6229	26	10	science	science	NOUN
ejpam-6229	26	11	such	such	ADJ
ejpam-6229	26	12	as	as	ADP
ejpam-6229	26	13	engineering	engineering	NOUN
ejpam-6229	26	14	,	,	PUNCT
ejpam-6229	26	15	mathematical	mathematical	ADJ
ejpam-6229	26	16	physics	physics	NOUN
ejpam-6229	26	17	,	,	PUNCT
ejpam-6229	26	18	economics	economic	NOUN
ejpam-6229	26	19	,	,	PUNCT
ejpam-6229	26	20	etc[15–19	etc[15–19	NOUN
ejpam-6229	26	21	]	]	PUNCT
ejpam-6229	26	22	.	.	PUNCT
ejpam-6229	27	1	one	one	NUM
ejpam-6229	27	2	of	of	ADP
ejpam-6229	27	3	the	the	DET
ejpam-6229	27	4	particular	particular	ADJ
ejpam-6229	27	5	kind	kind	NOUN
ejpam-6229	27	6	of	of	ADP
ejpam-6229	27	7	non	non	ADJ
ejpam-6229	27	8	-	-	ADJ
ejpam-6229	27	9	linear	linear	ADJ
ejpam-6229	27	10	vies	vie	NOUN
ejpam-6229	27	11	is	be	AUX
ejpam-6229	27	12	volterra	volterra	NOUN
ejpam-6229	27	13	-	-	PUNCT
ejpam-6229	27	14	hammerstein	hammerstein	PROPN
ejpam-6229	27	15	ies	ie	NOUN
ejpam-6229	27	16	which	which	PRON
ejpam-6229	27	17	have	have	AUX
ejpam-6229	27	18	been	be	AUX
ejpam-6229	27	19	studied	study	VERB
ejpam-6229	27	20	in	in	ADP
ejpam-6229	27	21	[	[	X
ejpam-6229	27	22	20	20	NUM
ejpam-6229	27	23	]	]	PUNCT
ejpam-6229	27	24	.	.	PUNCT
ejpam-6229	28	1	usually	usually	ADV
ejpam-6229	28	2	,	,	PUNCT
ejpam-6229	28	3	finding	find	VERB
ejpam-6229	28	4	an	an	DET
ejpam-6229	28	5	analytical	analytical	ADJ
ejpam-6229	28	6	solution	solution	NOUN
ejpam-6229	28	7	for	for	ADP
ejpam-6229	28	8	the	the	DET
ejpam-6229	28	9	non	non	ADJ
ejpam-6229	28	10	-	-	ADJ
ejpam-6229	28	11	linear	linear	ADJ
ejpam-6229	28	12	vies	vie	NOUN
ejpam-6229	28	13	is	be	AUX
ejpam-6229	28	14	not	not	PART
ejpam-6229	28	15	possible	possible	ADJ
ejpam-6229	28	16	,	,	PUNCT
ejpam-6229	28	17	then	then	ADV
ejpam-6229	28	18	researchers	researcher	NOUN
ejpam-6229	28	19	try	try	VERB
ejpam-6229	28	20	to	to	PART
ejpam-6229	28	21	provide	provide	VERB
ejpam-6229	28	22	numerical	numerical	ADJ
ejpam-6229	28	23	methods	method	NOUN
ejpam-6229	28	24	to	to	PART
ejpam-6229	28	25	avoid	avoid	VERB
ejpam-6229	28	26	this	this	DET
ejpam-6229	28	27	complicated	complicated	ADJ
ejpam-6229	28	28	situation	situation	NOUN
ejpam-6229	28	29	(	(	PUNCT
ejpam-6229	28	30	see	see	VERB
ejpam-6229	28	31	[	[	X
ejpam-6229	28	32	16	16	NUM
ejpam-6229	28	33	,	,	PUNCT
ejpam-6229	28	34	21	21	NUM
ejpam-6229	28	35	,	,	PUNCT
ejpam-6229	28	36	22	22	NUM
ejpam-6229	28	37	]	]	PUNCT
ejpam-6229	28	38	)	)	PUNCT
ejpam-6229	28	39	.	.	PUNCT
ejpam-6229	29	1	moreover	moreover	ADV
ejpam-6229	29	2	,	,	PUNCT
ejpam-6229	29	3	the	the	DET
ejpam-6229	29	4	great	great	ADJ
ejpam-6229	29	5	contributions	contribution	NOUN
ejpam-6229	29	6	of	of	ADP
ejpam-6229	29	7	recent	recent	ADJ
ejpam-6229	29	8	developments	development	NOUN
ejpam-6229	29	9	in	in	ADP
ejpam-6229	29	10	the	the	DET
ejpam-6229	29	11	conceptually	conceptually	ADV
ejpam-6229	29	12	promising	promising	ADJ
ejpam-6229	29	13	and	and	CCONJ
ejpam-6229	29	14	challenging	challenging	ADJ
ejpam-6229	29	15	areas	area	NOUN
ejpam-6229	29	16	of	of	ADP
ejpam-6229	29	17	the	the	DET
ejpam-6229	29	18	nonlinear	nonlinear	ADJ
ejpam-6229	29	19	vies	vie	NOUN
ejpam-6229	29	20	are	be	AUX
ejpam-6229	29	21	all	all	PRON
ejpam-6229	29	22	gathered	gather	VERB
ejpam-6229	29	23	in	in	ADP
ejpam-6229	29	24	the	the	DET
ejpam-6229	29	25	book	book	NOUN
ejpam-6229	29	26	due	due	ADP
ejpam-6229	29	27	to	to	ADP
ejpam-6229	29	28	brunner	brunner	NOUN
ejpam-6229	29	29	[	[	X
ejpam-6229	29	30	21	21	NUM
ejpam-6229	29	31	]	]	PUNCT
ejpam-6229	29	32	.	.	PUNCT
ejpam-6229	30	1	here	here	ADV
ejpam-6229	30	2	,	,	PUNCT
ejpam-6229	30	3	we	we	PRON
ejpam-6229	30	4	consider	consider	VERB
ejpam-6229	30	5	new	new	ADJ
ejpam-6229	30	6	multi	multi	ADJ
ejpam-6229	30	7	-	-	ADJ
ejpam-6229	30	8	step	step	ADJ
ejpam-6229	30	9	collocation	collocation	NOUN
ejpam-6229	30	10	scheme	scheme	NOUN
ejpam-6229	30	11	to	to	ADP
ejpam-6229	30	12	nvies	nvie	NOUN
ejpam-6229	30	13	(	(	PUNCT
ejpam-6229	30	14	1	1	NUM
ejpam-6229	30	15	)	)	PUNCT
ejpam-6229	30	16	and	and	CCONJ
ejpam-6229	30	17	try	try	VERB
ejpam-6229	30	18	to	to	PART
ejpam-6229	30	19	increase	increase	VERB
ejpam-6229	30	20	the	the	DET
ejpam-6229	30	21	order	order	NOUN
ejpam-6229	30	22	of	of	ADP
ejpam-6229	30	23	convergence	convergence	NOUN
ejpam-6229	30	24	compared	compare	VERB
ejpam-6229	30	25	with	with	ADP
ejpam-6229	30	26	the	the	DET
ejpam-6229	30	27	one	one	NUM
ejpam-6229	30	28	-	-	PUNCT
ejpam-6229	30	29	step	step	NOUN
ejpam-6229	30	30	and	and	CCONJ
ejpam-6229	30	31	multi	multi	ADJ
ejpam-6229	30	32	-	-	ADJ
ejpam-6229	30	33	step	step	ADJ
ejpam-6229	30	34	collocation	collocation	NOUN
ejpam-6229	30	35	methods	method	NOUN
ejpam-6229	30	36	in	in	ADP
ejpam-6229	30	37	[	[	X
ejpam-6229	30	38	13	13	NUM
ejpam-6229	30	39	,	,	PUNCT
ejpam-6229	30	40	14	14	NUM
ejpam-6229	30	41	]	]	PUNCT
ejpam-6229	30	42	.	.	PUNCT
ejpam-6229	31	1	the	the	DET
ejpam-6229	31	2	paper	paper	NOUN
ejpam-6229	31	3	is	be	AUX
ejpam-6229	31	4	structured	structure	VERB
ejpam-6229	31	5	in	in	ADP
ejpam-6229	31	6	the	the	DET
ejpam-6229	31	7	following	following	ADJ
ejpam-6229	31	8	manner	manner	NOUN
ejpam-6229	31	9	:	:	PUNCT
ejpam-6229	31	10	section	section	NOUN
ejpam-6229	31	11	2	2	NUM
ejpam-6229	31	12	is	be	AUX
ejpam-6229	31	13	dedicated	dedicate	VERB
ejpam-6229	31	14	to	to	ADP
ejpam-6229	31	15	introducing	introduce	VERB
ejpam-6229	31	16	a	a	DET
ejpam-6229	31	17	new	new	ADJ
ejpam-6229	31	18	multi	multi	ADJ
ejpam-6229	31	19	-	-	ADJ
ejpam-6229	31	20	step	step	ADJ
ejpam-6229	31	21	polynomial	polynomial	ADJ
ejpam-6229	31	22	collocation	collocation	NOUN
ejpam-6229	31	23	method	method	NOUN
ejpam-6229	31	24	for	for	ADP
ejpam-6229	31	25	discretizing	discretize	VERB
ejpam-6229	31	26	nvies	nvie	NOUN
ejpam-6229	31	27	using	use	VERB
ejpam-6229	31	28	widely	widely	ADV
ejpam-6229	31	29	recognized	recognize	VERB
ejpam-6229	31	30	interpolation	interpolation	NOUN
ejpam-6229	31	31	polynomials	polynomial	NOUN
ejpam-6229	31	32	.	.	PUNCT
ejpam-6229	32	1	in	in	ADP
ejpam-6229	32	2	the	the	DET
ejpam-6229	32	3	sequel	sequel	NOUN
ejpam-6229	32	4	,	,	PUNCT
ejpam-6229	32	5	we	we	PRON
ejpam-6229	32	6	analyze	analyze	VERB
ejpam-6229	32	7	the	the	DET
ejpam-6229	32	8	convergence	convergence	NOUN
ejpam-6229	32	9	of	of	ADP
ejpam-6229	32	10	the	the	DET
ejpam-6229	32	11	numerical	numerical	ADJ
ejpam-6229	32	12	solutions	solution	NOUN
ejpam-6229	32	13	,	,	PUNCT
ejpam-6229	32	14	considering	consider	VERB
ejpam-6229	32	15	peano	peano	NOUN
ejpam-6229	32	16	theorems	theorem	NOUN
ejpam-6229	32	17	for	for	ADP
ejpam-6229	32	18	interpolation	interpolation	NOUN
ejpam-6229	32	19	,	,	PUNCT
ejpam-6229	32	20	in	in	ADP
ejpam-6229	32	21	section	section	NOUN
ejpam-6229	32	22	3	3	NUM
ejpam-6229	32	23	.	.	PUNCT
ejpam-6229	32	24	section	section	NOUN
ejpam-6229	32	25	4	4	NUM
ejpam-6229	32	26	then	then	ADV
ejpam-6229	32	27	delves	delve	VERB
ejpam-6229	32	28	into	into	ADP
ejpam-6229	32	29	the	the	DET
ejpam-6229	32	30	examination	examination	NOUN
ejpam-6229	32	31	of	of	ADP
ejpam-6229	32	32	two	two	NUM
ejpam-6229	32	33	test	test	NOUN
ejpam-6229	32	34	problems	problem	NOUN
ejpam-6229	32	35	to	to	PART
ejpam-6229	32	36	validate	validate	VERB
ejpam-6229	32	37	the	the	DET
ejpam-6229	32	38	theoretical	theoretical	ADJ
ejpam-6229	32	39	results	result	NOUN
ejpam-6229	32	40	.	.	PUNCT
ejpam-6229	33	1	2	2	X
ejpam-6229	33	2	.	.	X
ejpam-6229	33	3	numerical	numerical	ADJ
ejpam-6229	33	4	methods	method	NOUN
ejpam-6229	33	5	the	the	DET
ejpam-6229	33	6	multi	multi	ADJ
ejpam-6229	33	7	-	-	ADJ
ejpam-6229	33	8	step	step	ADJ
ejpam-6229	33	9	method	method	NOUN
ejpam-6229	33	10	in	in	ADP
ejpam-6229	33	11	the	the	DET
ejpam-6229	33	12	context	context	NOUN
ejpam-6229	33	13	of	of	ADP
ejpam-6229	33	14	integral	integral	ADJ
ejpam-6229	33	15	equations	equation	NOUN
ejpam-6229	33	16	serves	serve	VERB
ejpam-6229	33	17	a	a	DET
ejpam-6229	33	18	similar	similar	ADJ
ejpam-6229	33	19	purpose	purpose	NOUN
ejpam-6229	33	20	as	as	ADP
ejpam-6229	33	21	in	in	ADP
ejpam-6229	33	22	ordinary	ordinary	ADJ
ejpam-6229	33	23	differential	differential	ADJ
ejpam-6229	33	24	equations	equation	NOUN
ejpam-6229	33	25	improving	improve	VERB
ejpam-6229	33	26	accuracy	accuracy	NOUN
ejpam-6229	33	27	and	and	CCONJ
ejpam-6229	33	28	computational	computational	ADJ
ejpam-6229	33	29	efficiency	efficiency	NOUN
ejpam-6229	33	30	but	but	CCONJ
ejpam-6229	33	31	is	be	AUX
ejpam-6229	33	32	tailored	tailor	VERB
ejpam-6229	33	33	to	to	PART
ejpam-6229	33	34	handle	handle	VERB
ejpam-6229	33	35	integral	integral	ADJ
ejpam-6229	33	36	operators	operator	NOUN
ejpam-6229	33	37	.	.	PUNCT
ejpam-6229	34	1	its	its	PRON
ejpam-6229	34	2	primary	primary	ADJ
ejpam-6229	34	3	aim	aim	NOUN
ejpam-6229	34	4	is	be	AUX
ejpam-6229	34	5	to	to	PART
ejpam-6229	34	6	solve	solve	VERB
ejpam-6229	34	7	integral	integral	ADJ
ejpam-6229	34	8	equations	equation	NOUN
ejpam-6229	34	9	numerically	numerically	ADV
ejpam-6229	34	10	by	by	ADP
ejpam-6229	34	11	leveraging	leverage	VERB
ejpam-6229	34	12	past	past	ADJ
ejpam-6229	34	13	computed	compute	VERB
ejpam-6229	34	14	values	value	NOUN
ejpam-6229	34	15	to	to	PART
ejpam-6229	34	16	approximate	approximate	VERB
ejpam-6229	34	17	the	the	DET
ejpam-6229	34	18	solution	solution	NOUN
ejpam-6229	34	19	at	at	ADP
ejpam-6229	34	20	subsequent	subsequent	ADJ
ejpam-6229	34	21	steps	step	NOUN
ejpam-6229	34	22	more	more	ADV
ejpam-6229	34	23	effectively	effectively	ADV
ejpam-6229	34	24	.	.	PUNCT
ejpam-6229	35	1	the	the	DET
ejpam-6229	35	2	fundamental	fundamental	ADJ
ejpam-6229	35	3	purposes	purpose	NOUN
ejpam-6229	35	4	of	of	ADP
ejpam-6229	35	5	multi	multi	ADJ
ejpam-6229	35	6	-	-	ADJ
ejpam-6229	35	7	step	step	ADJ
ejpam-6229	35	8	techniques	technique	NOUN
ejpam-6229	35	9	in	in	ADP
ejpam-6229	35	10	integral	integral	ADJ
ejpam-6229	35	11	equations	equation	NOUN
ejpam-6229	35	12	include	include	VERB
ejpam-6229	35	13	:	:	PUNCT
ejpam-6229	35	14	1	1	X
ejpam-6229	35	15	.	.	PUNCT
ejpam-6229	35	16	higher	high	ADJ
ejpam-6229	35	17	-	-	PUNCT
ejpam-6229	35	18	order	order	NOUN
ejpam-6229	35	19	approximation	approximation	NOUN
ejpam-6229	35	20	;	;	PUNCT
ejpam-6229	35	21	by	by	ADP
ejpam-6229	35	22	using	use	VERB
ejpam-6229	35	23	information	information	NOUN
ejpam-6229	35	24	from	from	ADP
ejpam-6229	35	25	multiple	multiple	ADJ
ejpam-6229	35	26	previous	previous	ADJ
ejpam-6229	35	27	steps	step	NOUN
ejpam-6229	35	28	(	(	PUNCT
ejpam-6229	35	29	e.g.	e.g.	ADV
ejpam-6229	35	30	,	,	PUNCT
ejpam-6229	35	31	past	past	ADJ
ejpam-6229	35	32	values	value	NOUN
ejpam-6229	35	33	of	of	ADP
ejpam-6229	35	34	the	the	DET
ejpam-6229	35	35	unknown	unknown	ADJ
ejpam-6229	35	36	function	function	NOUN
ejpam-6229	35	37	and	and	CCONJ
ejpam-6229	35	38	its	its	PRON
ejpam-6229	35	39	integrals	integral	NOUN
ejpam-6229	35	40	)	)	PUNCT
ejpam-6229	35	41	,	,	PUNCT
ejpam-6229	35	42	multi	multi	ADJ
ejpam-6229	35	43	-	-	ADJ
ejpam-6229	35	44	step	step	ADJ
ejpam-6229	35	45	methods	method	NOUN
ejpam-6229	35	46	achieve	achieve	VERB
ejpam-6229	35	47	better	well	ADJ
ejpam-6229	35	48	accuracy	accuracy	NOUN
ejpam-6229	35	49	than	than	ADP
ejpam-6229	35	50	singlestep	singlestep	NOUN
ejpam-6229	35	51	quadrature	quadrature	NOUN
ejpam-6229	35	52	-	-	PUNCT
ejpam-6229	35	53	based	base	VERB
ejpam-6229	35	54	approaches	approach	NOUN
ejpam-6229	35	55	.	.	PUNCT
ejpam-6229	36	1	2	2	X
ejpam-6229	36	2	.	.	X
ejpam-6229	36	3	reduced	reduce	VERB
ejpam-6229	36	4	computational	computational	ADJ
ejpam-6229	36	5	cost	cost	NOUN
ejpam-6229	36	6	;	;	PUNCT
ejpam-6229	36	7	reusing	reuse	VERB
ejpam-6229	36	8	previously	previously	ADV
ejpam-6229	36	9	computed	compute	VERB
ejpam-6229	36	10	integral	integral	ADJ
ejpam-6229	36	11	evaluations	evaluation	NOUN
ejpam-6229	36	12	(	(	PUNCT
ejpam-6229	36	13	e.g.	e.g.	ADV
ejpam-6229	36	14	,	,	PUNCT
ejpam-6229	36	15	in	in	ADP
ejpam-6229	36	16	volterra	volterra	NOUN
ejpam-6229	36	17	or	or	CCONJ
ejpam-6229	36	18	fredholm	fredholm	PROPN
ejpam-6229	36	19	h.	h.	PROPN
ejpam-6229	36	20	a.	a.	NOUN
ejpam-6229	36	21	thabbah	thabbah	PROPN
ejpam-6229	36	22	,	,	PUNCT
ejpam-6229	36	23	s.	s.	PROPN
ejpam-6229	36	24	pishbin	pishbin	PROPN
ejpam-6229	36	25	,	,	PUNCT
ejpam-6229	36	26	p.	p.	NOUN
ejpam-6229	36	27	darania	darania	PROPN
ejpam-6229	36	28	/	/	SYM
ejpam-6229	36	29	eur	eur	PROPN
ejpam-6229	36	30	.	.	PUNCT
ejpam-6229	37	1	j.	j.	PROPN
ejpam-6229	37	2	pure	pure	PROPN
ejpam-6229	37	3	appl	appl	PROPN
ejpam-6229	37	4	.	.	PROPN
ejpam-6229	37	5	math	math	PROPN
ejpam-6229	37	6	,	,	PUNCT
ejpam-6229	37	7	18	18	NUM
ejpam-6229	37	8	(	(	PUNCT
ejpam-6229	37	9	3	3	NUM
ejpam-6229	37	10	)	)	PUNCT
ejpam-6229	37	11	(	(	PUNCT
ejpam-6229	37	12	2025	2025	NUM
ejpam-6229	37	13	)	)	PUNCT
ejpam-6229	37	14	,	,	PUNCT
ejpam-6229	37	15	6229	6229	NUM
ejpam-6229	37	16	3	3	NUM
ejpam-6229	37	17	of	of	ADP
ejpam-6229	37	18	16	16	NUM
ejpam-6229	37	19	equations	equation	NOUN
ejpam-6229	37	20	)	)	PUNCT
ejpam-6229	37	21	avoids	avoid	VERB
ejpam-6229	37	22	redundant	redundant	ADJ
ejpam-6229	37	23	calculations	calculation	NOUN
ejpam-6229	37	24	,	,	PUNCT
ejpam-6229	37	25	making	make	VERB
ejpam-6229	37	26	the	the	DET
ejpam-6229	37	27	method	method	NOUN
ejpam-6229	37	28	more	more	ADV
ejpam-6229	37	29	efficient	efficient	ADJ
ejpam-6229	37	30	than	than	ADP
ejpam-6229	37	31	naive	naive	ADJ
ejpam-6229	37	32	quadrature	quadrature	NOUN
ejpam-6229	37	33	rules	rule	NOUN
ejpam-6229	37	34	.	.	PUNCT
ejpam-6229	38	1	3	3	X
ejpam-6229	38	2	.	.	X
ejpam-6229	38	3	handling	handle	VERB
ejpam-6229	38	4	non	non	ADJ
ejpam-6229	38	5	-	-	ADJ
ejpam-6229	38	6	local	local	ADJ
ejpam-6229	38	7	dependence	dependence	NOUN
ejpam-6229	38	8	;	;	PUNCT
ejpam-6229	38	9	integral	integral	ADJ
ejpam-6229	38	10	equations	equation	NOUN
ejpam-6229	38	11	involve	involve	VERB
ejpam-6229	38	12	global	global	ADJ
ejpam-6229	38	13	dependence	dependence	NOUN
ejpam-6229	38	14	(	(	PUNCT
ejpam-6229	38	15	due	due	ADP
ejpam-6229	38	16	to	to	ADP
ejpam-6229	38	17	the	the	DET
ejpam-6229	38	18	integral	integral	ADJ
ejpam-6229	38	19	term	term	NOUN
ejpam-6229	38	20	)	)	PUNCT
ejpam-6229	38	21	,	,	PUNCT
ejpam-6229	38	22	and	and	CCONJ
ejpam-6229	38	23	multistep	multistep	ADJ
ejpam-6229	38	24	methods	method	NOUN
ejpam-6229	38	25	help	help	VERB
ejpam-6229	38	26	approximate	approximate	VERB
ejpam-6229	38	27	the	the	DET
ejpam-6229	38	28	history	history	NOUN
ejpam-6229	38	29	integral	integral	ADJ
ejpam-6229	38	30	more	more	ADV
ejpam-6229	38	31	efficiently	efficiently	ADV
ejpam-6229	38	32	by	by	ADP
ejpam-6229	38	33	exploiting	exploit	VERB
ejpam-6229	38	34	smoothness	smoothness	ADJ
ejpam-6229	38	35	and	and	CCONJ
ejpam-6229	38	36	past	past	ADJ
ejpam-6229	38	37	data	datum	NOUN
ejpam-6229	38	38	.	.	PUNCT
ejpam-6229	39	1	4	4	X
ejpam-6229	39	2	.	.	NUM
ejpam-6229	39	3	improved	improve	VERB
ejpam-6229	39	4	stability	stability	NOUN
ejpam-6229	39	5	for	for	ADP
ejpam-6229	39	6	volterra	volterra	NOUN
ejpam-6229	39	7	equations	equation	NOUN
ejpam-6229	39	8	;	;	PUNCT
ejpam-6229	39	9	multi	multi	ADJ
ejpam-6229	39	10	-	-	ADJ
ejpam-6229	39	11	step	step	ADJ
ejpam-6229	39	12	discretizations	discretization	NOUN
ejpam-6229	39	13	can	can	AUX
ejpam-6229	39	14	stabilize	stabilize	VERB
ejpam-6229	39	15	solutions	solution	NOUN
ejpam-6229	39	16	for	for	ADP
ejpam-6229	39	17	weakly	weakly	ADJ
ejpam-6229	39	18	singular	singular	NOUN
ejpam-6229	39	19	or	or	CCONJ
ejpam-6229	39	20	nonlinear	nonlinear	ADJ
ejpam-6229	39	21	integral	integral	ADJ
ejpam-6229	39	22	equations	equation	NOUN
ejpam-6229	39	23	.	.	PUNCT
ejpam-6229	40	1	we	we	PRON
ejpam-6229	40	2	will	will	AUX
ejpam-6229	40	3	now	now	ADV
ejpam-6229	40	4	introduce	introduce	VERB
ejpam-6229	40	5	and	and	CCONJ
ejpam-6229	40	6	examine	examine	VERB
ejpam-6229	40	7	two	two	NUM
ejpam-6229	40	8	numerical	numerical	ADJ
ejpam-6229	40	9	methods	method	NOUN
ejpam-6229	40	10	:	:	PUNCT
ejpam-6229	40	11	the	the	DET
ejpam-6229	40	12	standard	standard	ADJ
ejpam-6229	40	13	multi	multi	ADJ
ejpam-6229	40	14	-	-	ADJ
ejpam-6229	40	15	step	step	ADJ
ejpam-6229	40	16	collocation	collocation	NOUN
ejpam-6229	40	17	method	method	NOUN
ejpam-6229	40	18	and	and	CCONJ
ejpam-6229	40	19	an	an	DET
ejpam-6229	40	20	advanced	advanced	ADJ
ejpam-6229	40	21	version	version	NOUN
ejpam-6229	40	22	referred	refer	VERB
ejpam-6229	40	23	to	to	ADP
ejpam-6229	40	24	as	as	ADP
ejpam-6229	40	25	the	the	DET
ejpam-6229	40	26	new	new	ADJ
ejpam-6229	40	27	multi	multi	ADJ
ejpam-6229	40	28	-	-	ADJ
ejpam-6229	40	29	step	step	ADJ
ejpam-6229	40	30	collocation	collocation	NOUN
ejpam-6229	40	31	method	method	NOUN
ejpam-6229	40	32	.	.	PUNCT
ejpam-6229	41	1	2.1	2.1	NUM
ejpam-6229	41	2	.	.	PUNCT
ejpam-6229	42	1	multi	multi	ADJ
ejpam-6229	42	2	-	-	ADJ
ejpam-6229	42	3	step	step	ADJ
ejpam-6229	42	4	collocation	collocation	NOUN
ejpam-6229	42	5	scheme	scheme	NOUN
ejpam-6229	42	6	for	for	ADP
ejpam-6229	42	7	nvie	nvie	NOUN
ejpam-6229	42	8	the	the	DET
ejpam-6229	42	9	examination	examination	NOUN
ejpam-6229	42	10	conducted	conduct	VERB
ejpam-6229	42	11	in	in	ADP
ejpam-6229	42	12	[	[	X
ejpam-6229	42	13	14	14	NUM
ejpam-6229	42	14	]	]	PUNCT
ejpam-6229	42	15	,	,	PUNCT
ejpam-6229	42	16	we	we	PRON
ejpam-6229	42	17	consider	consider	VERB
ejpam-6229	42	18	the	the	DET
ejpam-6229	42	19	multi	multi	ADJ
ejpam-6229	42	20	-	-	ADJ
ejpam-6229	42	21	step	step	ADJ
ejpam-6229	42	22	collocation	collocation	NOUN
ejpam-6229	42	23	scheme	scheme	NOUN
ejpam-6229	42	24	for	for	ADP
ejpam-6229	42	25	the	the	DET
ejpam-6229	42	26	equation	equation	NOUN
ejpam-6229	42	27	(	(	PUNCT
ejpam-6229	42	28	1	1	NUM
ejpam-6229	42	29	)	)	PUNCT
ejpam-6229	42	30	.	.	PUNCT
ejpam-6229	43	1	consider	consider	VERB
ejpam-6229	43	2	{	{	PUNCT
ejpam-6229	43	3	tn	tn	PROPN
ejpam-6229	43	4	=	=	SYM
ejpam-6229	43	5	nh	nh	PROPN
ejpam-6229	43	6	,	,	PUNCT
ejpam-6229	43	7	n	n	NOUN
ejpam-6229	43	8	=	=	SYM
ejpam-6229	43	9	0	0	NUM
ejpam-6229	43	10	,	,	PUNCT
ejpam-6229	43	11	1	1	NUM
ejpam-6229	43	12	,	,	PUNCT
ejpam-6229	43	13	.	.	PUNCT
ejpam-6229	43	14	.	.	PUNCT
ejpam-6229	44	1	.	.	PUNCT
ejpam-6229	45	1	,	,	PUNCT
ejpam-6229	45	2	n	n	X
ejpam-6229	45	3	(	(	PUNCT
ejpam-6229	45	4	tn	tn	PROPN
ejpam-6229	45	5	=	=	SYM
ejpam-6229	45	6	t	t	PROPN
ejpam-6229	45	7	)	)	PUNCT
ejpam-6229	45	8	}	}	PUNCT
ejpam-6229	45	9	,	,	PUNCT
ejpam-6229	45	10	as	as	ADP
ejpam-6229	45	11	an	an	DET
ejpam-6229	45	12	equidistant	equidistant	ADJ
ejpam-6229	45	13	grid	grid	NOUN
ejpam-6229	45	14	on	on	ADP
ejpam-6229	45	15	i.	i.	PROPN
ejpam-6229	45	16	suppose	suppose	VERB
ejpam-6229	45	17	that	that	SCONJ
ejpam-6229	45	18	sh	sh	PROPN
ejpam-6229	45	19	be	be	AUX
ejpam-6229	45	20	given	give	VERB
ejpam-6229	45	21	by	by	ADP
ejpam-6229	45	22	sh	sh	INTJ
ejpam-6229	45	23	:	:	PUNCT
ejpam-6229	45	24	=	=	SYM
ejpam-6229	45	25	{	{	PUNCT
ejpam-6229	45	26	tn	tn	PROPN
ejpam-6229	45	27	,	,	PUNCT
ejpam-6229	45	28	i	i	PRON
ejpam-6229	45	29	=	=	SYM
ejpam-6229	45	30	tn	tn	PROPN
ejpam-6229	46	1	+	+	NUM
ejpam-6229	46	2	cih	cih	NOUN
ejpam-6229	46	3	:	:	PUNCT
ejpam-6229	46	4	0	0	PUNCT
ejpam-6229	46	5	<	<	X
ejpam-6229	46	6	c1	c1	PROPN
ejpam-6229	46	7	<	<	X
ejpam-6229	46	8	·	·	PUNCT
ejpam-6229	46	9	·	·	PUNCT
ejpam-6229	46	10	·	·	PUNCT
ejpam-6229	46	11	<	<	X
ejpam-6229	46	12	cm	cm	X
ejpam-6229	46	13	≤	≤	NUM
ejpam-6229	46	14	1	1	NUM
ejpam-6229	46	15	,	,	PUNCT
ejpam-6229	46	16	0	0	NUM
ejpam-6229	46	17	≤	≤	NUM
ejpam-6229	46	18	n	n	PRON
ejpam-6229	46	19	≤	≤	NOUN
ejpam-6229	46	20	n	n	CCONJ
ejpam-6229	46	21	−	−	PROPN
ejpam-6229	46	22	1	1	NUM
ejpam-6229	46	23	}	}	PUNCT
ejpam-6229	46	24	,	,	PUNCT
ejpam-6229	46	25	where	where	SCONJ
ejpam-6229	46	26	{	{	PUNCT
ejpam-6229	46	27	tn	tn	PROPN
ejpam-6229	46	28	,	,	PUNCT
ejpam-6229	46	29	i	i	PRON
ejpam-6229	46	30	}	}	PUNCT
ejpam-6229	46	31	are	be	AUX
ejpam-6229	46	32	collocation	collocation	NOUN
ejpam-6229	46	33	points	point	NOUN
ejpam-6229	46	34	with	with	ADP
ejpam-6229	46	35	{	{	PUNCT
ejpam-6229	46	36	ci	ci	NOUN
ejpam-6229	46	37	}	}	PUNCT
ejpam-6229	46	38	as	as	ADP
ejpam-6229	46	39	collocation	collocation	NOUN
ejpam-6229	46	40	parameters	parameter	NOUN
ejpam-6229	46	41	.	.	PUNCT
ejpam-6229	47	1	take	take	VERB
ejpam-6229	47	2	the	the	DET
ejpam-6229	47	3	collocation	collocation	NOUN
ejpam-6229	47	4	solution	solution	NOUN
ejpam-6229	47	5	on	on	ADP
ejpam-6229	47	6	the	the	DET
ejpam-6229	47	7	interval	interval	NOUN
ejpam-6229	47	8	ϵn	ϵn	X
ejpam-6229	47	9	=	=	SYM
ejpam-6229	47	10	(	(	PUNCT
ejpam-6229	47	11	tn	tn	PROPN
ejpam-6229	47	12	,	,	PUNCT
ejpam-6229	47	13	tn+1	tn+1	PROPN
ejpam-6229	47	14	]	]	PUNCT
ejpam-6229	47	15	for	for	ADP
ejpam-6229	47	16	s	s	X
ejpam-6229	47	17	∈	∈	PROPN
ejpam-6229	48	1	[	[	X
ejpam-6229	48	2	0	0	NUM
ejpam-6229	48	3	,	,	PUNCT
ejpam-6229	48	4	1	1	NUM
ejpam-6229	48	5	]	]	PUNCT
ejpam-6229	48	6	by	by	ADP
ejpam-6229	48	7	y(tn	y(tn	NOUN
ejpam-6229	48	8	+	+	CCONJ
ejpam-6229	48	9	sh	sh	NOUN
ejpam-6229	48	10	)	)	PUNCT
ejpam-6229	48	11	=	=	SYM
ejpam-6229	48	12	r−1∑	r−1∑	PROPN
ejpam-6229	48	13	k=0	k=0	PROPN
ejpam-6229	48	14	lk(s)xn−k	lk(s)xn−k	PROPN
ejpam-6229	48	15	+	+	CCONJ
ejpam-6229	48	16	m∑	m∑	PROPN
ejpam-6229	48	17	j=1	j=1	PROPN
ejpam-6229	48	18	l̂j(s)yn	l̂j(s)yn	PROPN
ejpam-6229	48	19	,	,	PUNCT
ejpam-6229	48	20	j	j	PROPN
ejpam-6229	48	21	,	,	PUNCT
ejpam-6229	48	22	n	n	PROPN
ejpam-6229	48	23	=	=	SYM
ejpam-6229	48	24	r	r	NOUN
ejpam-6229	48	25	,	,	PUNCT
ejpam-6229	48	26	·	·	PUNCT
ejpam-6229	48	27	·	·	PUNCT
ejpam-6229	48	28	·	·	PUNCT
ejpam-6229	48	29	,	,	PUNCT
ejpam-6229	48	30	n	n	CCONJ
ejpam-6229	48	31	−	−	PROPN
ejpam-6229	48	32	1	1	NUM
ejpam-6229	48	33	,	,	PUNCT
ejpam-6229	48	34	(	(	PUNCT
ejpam-6229	48	35	2	2	NUM
ejpam-6229	48	36	)	)	PUNCT
ejpam-6229	48	37	with	with	ADP
ejpam-6229	48	38	yn	yn	PROPN
ejpam-6229	48	39	,	,	PUNCT
ejpam-6229	48	40	j	j	PROPN
ejpam-6229	48	41	:	:	PUNCT
ejpam-6229	48	42	=	=	SYM
ejpam-6229	48	43	y(tn	y(tn	PROPN
ejpam-6229	48	44	,	,	PUNCT
ejpam-6229	48	45	j	j	PROPN
ejpam-6229	48	46	)	)	PUNCT
ejpam-6229	48	47	,	,	PUNCT
ejpam-6229	48	48	xn−k	xn−k	PROPN
ejpam-6229	48	49	:	:	PUNCT
ejpam-6229	49	1	=	=	SYM
ejpam-6229	49	2	y(tn−k	y(tn−k	NUM
ejpam-6229	49	3	)	)	PUNCT
ejpam-6229	49	4	,	,	PUNCT
ejpam-6229	49	5	lk(s	lk(s	X
ejpam-6229	49	6	)	)	PUNCT
ejpam-6229	49	7	=	=	PUNCT
ejpam-6229	50	1	m∏	m∏	PROPN
ejpam-6229	50	2	i=1	i=1	PART
ejpam-6229	51	1	s−	s−	PROPN
ejpam-6229	51	2	ci	ci	PROPN
ejpam-6229	51	3	−k	−k	PROPN
ejpam-6229	51	4	−	−	PROPN
ejpam-6229	51	5	ci	ci	NOUN
ejpam-6229	51	6	·	·	PUNCT
ejpam-6229	51	7	r−1∏	r−1∏	ADP
ejpam-6229	51	8	i=0,i	i=0,i	PROPN
ejpam-6229	51	9	̸=k	̸=k	PROPN
ejpam-6229	51	10	s+	s+	PUNCT
ejpam-6229	51	11	i	i	PRON
ejpam-6229	51	12	−k	−k	VERB
ejpam-6229	51	13	+	+	CCONJ
ejpam-6229	51	14	i	i	PRON
ejpam-6229	51	15	,	,	PUNCT
ejpam-6229	51	16	l̂j(s	l̂j(s	PROPN
ejpam-6229	51	17	)	)	PUNCT
ejpam-6229	52	1	=	=	PUNCT
ejpam-6229	52	2	r−1∏	r−1∏	PROPN
ejpam-6229	52	3	i=0	i=0	PROPN
ejpam-6229	52	4	s+	s+	PUNCT
ejpam-6229	52	5	i	i	PRON
ejpam-6229	52	6	cj	cj	VERB
ejpam-6229	53	1	+	+	CCONJ
ejpam-6229	53	2	i	i	PRON
ejpam-6229	53	3	·	·	PUNCT
ejpam-6229	53	4	m∏	m∏	NOUN
ejpam-6229	53	5	i=1,i	i=1,i	ADP
ejpam-6229	53	6	̸=j	̸=j	PROPN
ejpam-6229	53	7	s−	s−	PROPN
ejpam-6229	53	8	ci	ci	PROPN
ejpam-6229	53	9	cj	cj	PROPN
ejpam-6229	53	10	−	−	PROPN
ejpam-6229	53	11	ci	ci	PROPN
ejpam-6229	53	12	.	.	PUNCT
ejpam-6229	54	1	note	note	VERB
ejpam-6229	54	2	that	that	SCONJ
ejpam-6229	54	3	the	the	DET
ejpam-6229	54	4	starting	start	VERB
ejpam-6229	54	5	values	value	NOUN
ejpam-6229	54	6	x1	x1	PROPN
ejpam-6229	54	7	,	,	PUNCT
ejpam-6229	54	8	.	.	PUNCT
ejpam-6229	54	9	.	.	PUNCT
ejpam-6229	55	1	.	.	PUNCT
ejpam-6229	56	1	,	,	PUNCT
ejpam-6229	56	2	xr	xr	PROPN
ejpam-6229	56	3	can	can	AUX
ejpam-6229	56	4	be	be	AUX
ejpam-6229	56	5	obtained	obtain	VERB
ejpam-6229	56	6	by	by	ADP
ejpam-6229	56	7	a	a	DET
ejpam-6229	56	8	suitable	suitable	ADJ
ejpam-6229	56	9	one	one	NUM
ejpam-6229	56	10	-	-	PUNCT
ejpam-6229	56	11	step	step	NOUN
ejpam-6229	56	12	method	method	NOUN
ejpam-6229	56	13	.	.	PUNCT
ejpam-6229	57	1	in	in	ADP
ejpam-6229	57	2	the	the	DET
ejpam-6229	57	3	sequel	sequel	NOUN
ejpam-6229	57	4	,	,	PUNCT
ejpam-6229	57	5	we	we	PRON
ejpam-6229	57	6	find	find	VERB
ejpam-6229	57	7	y	y	PRON
ejpam-6229	57	8	so	so	SCONJ
ejpam-6229	57	9	that	that	SCONJ
ejpam-6229	57	10	the	the	DET
ejpam-6229	57	11	collocation	collocation	NOUN
ejpam-6229	57	12	equation	equation	NOUN
ejpam-6229	57	13	is	be	AUX
ejpam-6229	57	14	hold	hold	VERB
ejpam-6229	57	15	for	for	ADP
ejpam-6229	57	16	t	t	PROPN
ejpam-6229	57	17	∈	∈	PROPN
ejpam-6229	57	18	sh	sh	PROPN
ejpam-6229	57	19	,	,	PUNCT
ejpam-6229	57	20	y(t	y(t	PROPN
ejpam-6229	57	21	)	)	PUNCT
ejpam-6229	57	22	=	=	SYM
ejpam-6229	57	23	f(t	f(t	NOUN
ejpam-6229	57	24	)	)	PUNCT
ejpam-6229	58	1	+	+	CCONJ
ejpam-6229	59	1	∫	∫	PROPN
ejpam-6229	59	2	t	t	PROPN
ejpam-6229	59	3	0	0	NUM
ejpam-6229	60	1	k	k	PROPN
ejpam-6229	60	2	(	(	PUNCT
ejpam-6229	60	3	t	t	PROPN
ejpam-6229	60	4	,	,	PUNCT
ejpam-6229	60	5	s	s	PROPN
ejpam-6229	60	6	,	,	PUNCT
ejpam-6229	60	7	y(t	y(t	PROPN
ejpam-6229	60	8	)	)	PUNCT
ejpam-6229	60	9	,	,	PUNCT
ejpam-6229	60	10	y(s	y(s	PROPN
ejpam-6229	60	11	)	)	PUNCT
ejpam-6229	60	12	)	)	PUNCT
ejpam-6229	61	1	ds	ds	PROPN
ejpam-6229	61	2	.	.	PROPN
ejpam-6229	61	3	hence	hence	ADV
ejpam-6229	61	4	,	,	PUNCT
ejpam-6229	61	5	on	on	ADP
ejpam-6229	61	6	every	every	DET
ejpam-6229	61	7	subinterval	subinterval	NOUN
ejpam-6229	61	8	ϵn	ϵn	NOUN
ejpam-6229	61	9	,	,	PUNCT
ejpam-6229	61	10	we	we	PRON
ejpam-6229	61	11	have	have	VERB
ejpam-6229	61	12	the	the	DET
ejpam-6229	61	13	system	system	NOUN
ejpam-6229	61	14	of	of	ADP
ejpam-6229	61	15	algebraic	algebraic	ADJ
ejpam-6229	61	16	equations	equation	NOUN
ejpam-6229	61	17	for	for	ADP
ejpam-6229	61	18	the	the	DET
ejpam-6229	61	19	h.	h.	PROPN
ejpam-6229	61	20	a.	a.	PROPN
ejpam-6229	61	21	thabbah	thabbah	PROPN
ejpam-6229	61	22	,	,	PUNCT
ejpam-6229	61	23	s.	s.	PROPN
ejpam-6229	61	24	pishbin	pishbin	PROPN
ejpam-6229	61	25	,	,	PUNCT
ejpam-6229	61	26	p.	p.	NOUN
ejpam-6229	61	27	darania	darania	PROPN
ejpam-6229	61	28	/	/	SYM
ejpam-6229	61	29	eur	eur	PROPN
ejpam-6229	61	30	.	.	PUNCT
ejpam-6229	62	1	j.	j.	PROPN
ejpam-6229	62	2	pure	pure	PROPN
ejpam-6229	62	3	appl	appl	PROPN
ejpam-6229	62	4	.	.	PROPN
ejpam-6229	62	5	math	math	PROPN
ejpam-6229	62	6	,	,	PUNCT
ejpam-6229	62	7	18	18	NUM
ejpam-6229	62	8	(	(	PUNCT
ejpam-6229	62	9	3	3	NUM
ejpam-6229	62	10	)	)	PUNCT
ejpam-6229	62	11	(	(	PUNCT
ejpam-6229	62	12	2025	2025	NUM
ejpam-6229	62	13	)	)	PUNCT
ejpam-6229	62	14	,	,	PUNCT
ejpam-6229	62	15	6229	6229	NUM
ejpam-6229	62	16	4	4	NUM
ejpam-6229	62	17	of	of	ADP
ejpam-6229	62	18	16	16	NUM
ejpam-6229	62	19	unknowns	unknown	NOUN
ejpam-6229	62	20	yn	yn	PROPN
ejpam-6229	62	21	,	,	PUNCT
ejpam-6229	62	22	j	j	PROPN
ejpam-6229	62	23	,	,	PUNCT
ejpam-6229	62	24	j	j	PROPN
ejpam-6229	62	25	=	=	NOUN
ejpam-6229	62	26	1	1	NUM
ejpam-6229	62	27	,	,	PUNCT
ejpam-6229	62	28	.	.	PUNCT
ejpam-6229	62	29	.	.	PUNCT
ejpam-6229	62	30	.	.	PUNCT
ejpam-6229	63	1	,	,	PUNCT
ejpam-6229	63	2	m	m	PROPN
ejpam-6229	63	3	,	,	PUNCT
ejpam-6229	63	4	n	n	NOUN
ejpam-6229	63	5	=	=	SYM
ejpam-6229	63	6	r	r	NOUN
ejpam-6229	63	7	,	,	PUNCT
ejpam-6229	63	8	.	.	PUNCT
ejpam-6229	63	9	.	.	PUNCT
ejpam-6229	64	1	.	.	PUNCT
ejpam-6229	65	1	,	,	PUNCT
ejpam-6229	65	2	n	n	CCONJ
ejpam-6229	65	3	−	−	PROPN
ejpam-6229	65	4	1	1	NUM
ejpam-6229	65	5	,	,	PUNCT
ejpam-6229	65	6	yn	yn	PROPN
ejpam-6229	65	7	,	,	PUNCT
ejpam-6229	65	8	j	j	PROPN
ejpam-6229	65	9	=	=	SYM
ejpam-6229	65	10	f(tn	f(tn	PROPN
ejpam-6229	65	11	,	,	PUNCT
ejpam-6229	65	12	j	j	NOUN
ejpam-6229	65	13	)	)	PUNCT
ejpam-6229	66	1	+	+	NUM
ejpam-6229	66	2	h	h	NOUN
ejpam-6229	66	3	r−1∑	r−1∑	PROPN
ejpam-6229	66	4	k=0	k=0	PROPN
ejpam-6229	66	5	∫	∫	PROPN
ejpam-6229	66	6	1	1	NUM
ejpam-6229	66	7	0	0	NUM
ejpam-6229	67	1	k	k	PROPN
ejpam-6229	67	2	(	(	PUNCT
ejpam-6229	67	3	tn	tn	PROPN
ejpam-6229	67	4	,	,	PUNCT
ejpam-6229	67	5	j	j	PROPN
ejpam-6229	67	6	,	,	PUNCT
ejpam-6229	67	7	tk	tk	PROPN
ejpam-6229	67	8	+	+	CCONJ
ejpam-6229	67	9	sh	sh	PROPN
ejpam-6229	67	10	,	,	PUNCT
ejpam-6229	67	11	yn	yn	PROPN
ejpam-6229	67	12	,	,	PUNCT
ejpam-6229	67	13	j	j	PROPN
ejpam-6229	67	14	,	,	PUNCT
ejpam-6229	67	15	y(tk	y(tk	PROPN
ejpam-6229	67	16	+	+	CCONJ
ejpam-6229	67	17	sh	sh	PROPN
ejpam-6229	67	18	)	)	PUNCT
ejpam-6229	67	19	)	)	PUNCT
ejpam-6229	68	1	ds	ds	PROPN
ejpam-6229	68	2	+	+	NOUN
ejpam-6229	68	3	h	h	NOUN
ejpam-6229	68	4	n−1∑	n−1∑	NUM
ejpam-6229	68	5	k	k	NOUN
ejpam-6229	68	6	=	=	X
ejpam-6229	68	7	r	r	NOUN
ejpam-6229	68	8	∫	∫	NOUN
ejpam-6229	68	9	1	1	NUM
ejpam-6229	68	10	0	0	NUM
ejpam-6229	68	11	k	k	PROPN
ejpam-6229	68	12	(	(	PUNCT
ejpam-6229	68	13	tn	tn	PROPN
ejpam-6229	68	14	,	,	PUNCT
ejpam-6229	68	15	j	j	PROPN
ejpam-6229	68	16	,	,	PUNCT
ejpam-6229	68	17	tk	tk	PROPN
ejpam-6229	68	18	+	+	CCONJ
ejpam-6229	68	19	sh	sh	PROPN
ejpam-6229	68	20	,	,	PUNCT
ejpam-6229	68	21	yn	yn	PROPN
ejpam-6229	68	22	,	,	PUNCT
ejpam-6229	68	23	j	j	PROPN
ejpam-6229	68	24	,	,	PUNCT
ejpam-6229	68	25	r−1∑	r−1∑	PROPN
ejpam-6229	68	26	j=0	j=0	PROPN
ejpam-6229	68	27	lj(s)xk−j	lj(s)xk−j	PROPN
ejpam-6229	69	1	+	+	CCONJ
ejpam-6229	69	2	m∑	m∑	CCONJ
ejpam-6229	69	3	i=1	i=1	PROPN
ejpam-6229	69	4	l̂i(s)yk	l̂i(s)yk	PROPN
ejpam-6229	69	5	,	,	PUNCT
ejpam-6229	69	6	i	i	PRON
ejpam-6229	69	7	)	)	PUNCT
ejpam-6229	69	8	ds	ds	PROPN
ejpam-6229	69	9	+	+	NOUN
ejpam-6229	69	10	h	h	NOUN
ejpam-6229	69	11	∫	∫	PROPN
ejpam-6229	70	1	cj	cj	PROPN
ejpam-6229	70	2	0	0	NUM
ejpam-6229	71	1	k	k	PROPN
ejpam-6229	71	2	(	(	PUNCT
ejpam-6229	71	3	tn	tn	PROPN
ejpam-6229	71	4	,	,	PUNCT
ejpam-6229	71	5	j	j	PROPN
ejpam-6229	71	6	,	,	PUNCT
ejpam-6229	71	7	tn	tn	PROPN
ejpam-6229	72	1	+	+	CCONJ
ejpam-6229	72	2	sh	sh	PROPN
ejpam-6229	72	3	,	,	PUNCT
ejpam-6229	72	4	yn	yn	PROPN
ejpam-6229	72	5	,	,	PUNCT
ejpam-6229	72	6	j	j	PROPN
ejpam-6229	72	7	,	,	PUNCT
ejpam-6229	72	8	r−1∑	r−1∑	PROPN
ejpam-6229	72	9	k=0	k=0	PROPN
ejpam-6229	72	10	lk(s)xn−k	lk(s)xn−k	PROPN
ejpam-6229	73	1	+	+	CCONJ
ejpam-6229	73	2	m∑	m∑	CCONJ
ejpam-6229	73	3	i=1	i=1	PROPN
ejpam-6229	73	4	l̂i(s)yn	l̂i(s)yn	PROPN
ejpam-6229	73	5	,	,	PUNCT
ejpam-6229	73	6	i	i	PRON
ejpam-6229	73	7	)	)	PUNCT
ejpam-6229	73	8	ds	ds	PROPN
ejpam-6229	73	9	.	.	PUNCT
ejpam-6229	73	10	(	(	PUNCT
ejpam-6229	73	11	3	3	NUM
ejpam-6229	73	12	)	)	PUNCT
ejpam-6229	73	13	also	also	ADV
ejpam-6229	73	14	,	,	PUNCT
ejpam-6229	73	15	the	the	DET
ejpam-6229	73	16	convergence	convergence	NOUN
ejpam-6229	73	17	theorem	theorem	VERB
ejpam-6229	73	18	results	result	NOUN
ejpam-6229	73	19	can	can	AUX
ejpam-6229	73	20	be	be	AUX
ejpam-6229	73	21	presented	present	VERB
ejpam-6229	73	22	as	as	ADP
ejpam-6229	73	23	:	:	PUNCT
ejpam-6229	73	24	theorem	theorem	NOUN
ejpam-6229	73	25	1	1	NUM
ejpam-6229	73	26	.	.	PUNCT
ejpam-6229	74	1	[	[	X
ejpam-6229	74	2	14	14	NUM
ejpam-6229	74	3	]	]	PUNCT
ejpam-6229	74	4	consider	consider	VERB
ejpam-6229	74	5	i	i	PRON
ejpam-6229	74	6	)	)	PUNCT
ejpam-6229	74	7	f	f	PROPN
ejpam-6229	74	8	∈	∈	PROPN
ejpam-6229	74	9	cm+r(i	cm+r(i	PROPN
ejpam-6229	74	10	)	)	PUNCT
ejpam-6229	74	11	and	and	CCONJ
ejpam-6229	74	12	for	for	ADP
ejpam-6229	74	13	d	d	PROPN
ejpam-6229	74	14	:	:	PUNCT
ejpam-6229	74	15	=	=	SYM
ejpam-6229	74	16	{	{	PUNCT
ejpam-6229	74	17	(	(	PUNCT
ejpam-6229	74	18	t	t	PROPN
ejpam-6229	74	19	,	,	PUNCT
ejpam-6229	74	20	s	s	PROPN
ejpam-6229	74	21	)	)	PUNCT
ejpam-6229	74	22	:	:	PUNCT
ejpam-6229	74	23	0	0	NUM
ejpam-6229	74	24	≤	≤	NUM
ejpam-6229	74	25	s	s	PROPN
ejpam-6229	74	26	,	,	PUNCT
ejpam-6229	74	27	t	t	PROPN
ejpam-6229	74	28	≤	≤	PROPN
ejpam-6229	74	29	t	t	PROPN
ejpam-6229	74	30	}	}	PUNCT
ejpam-6229	74	31	,	,	PUNCT
ejpam-6229	74	32	k	k	PROPN
ejpam-6229	74	33	∈	∈	PROPN
ejpam-6229	74	34	cm+r(d	cm+r(d	PROPN
ejpam-6229	74	35	×	×	PROPN
ejpam-6229	74	36	r×	r×	NOUN
ejpam-6229	74	37	r	r	NOUN
ejpam-6229	74	38	)	)	PUNCT
ejpam-6229	74	39	,	,	PUNCT
ejpam-6229	74	40	ii	ii	X
ejpam-6229	74	41	)	)	PUNCT
ejpam-6229	74	42	|k(t	|k(t	PROPN
ejpam-6229	74	43	,	,	PUNCT
ejpam-6229	74	44	s	s	PROPN
ejpam-6229	74	45	,	,	PUNCT
ejpam-6229	74	46	r1	r1	NOUN
ejpam-6229	74	47	,	,	PUNCT
ejpam-6229	74	48	s1)−k(t	s1)−k(t	NOUN
ejpam-6229	74	49	,	,	PUNCT
ejpam-6229	74	50	s	s	NOUN
ejpam-6229	74	51	,	,	PUNCT
ejpam-6229	74	52	r2	r2	PROPN
ejpam-6229	74	53	,	,	PUNCT
ejpam-6229	74	54	s2)|	s2)|	NOUN
ejpam-6229	74	55	≤	≤	PUNCT
ejpam-6229	74	56	q(t	q(t	PROPN
ejpam-6229	74	57	,	,	PUNCT
ejpam-6229	74	58	s)|r1−r2|+m	s)|r1−r2|+m	ADJ
ejpam-6229	74	59	|s1−s2|	|s1−s2|	NOUN
ejpam-6229	74	60	for	for	ADP
ejpam-6229	74	61	all	all	PRON
ejpam-6229	74	62	(	(	PUNCT
ejpam-6229	74	63	t	t	PROPN
ejpam-6229	74	64	,	,	PUNCT
ejpam-6229	74	65	s	s	PART
ejpam-6229	74	66	)	)	PUNCT
ejpam-6229	74	67	∈	∈	PROPN
ejpam-6229	75	1	d	d	PROPN
ejpam-6229	75	2	,	,	PUNCT
ejpam-6229	75	3	ri	ri	PROPN
ejpam-6229	75	4	,	,	PUNCT
ejpam-6229	75	5	si	si	PROPN
ejpam-6229	75	6	∈	∈	PROPN
ejpam-6229	75	7	r	r	NOUN
ejpam-6229	75	8	with	with	ADP
ejpam-6229	75	9	0	0	NUM
ejpam-6229	75	10	<	<	X
ejpam-6229	75	11	q(s	q(s	PROPN
ejpam-6229	75	12	,	,	PUNCT
ejpam-6229	75	13	s	s	NOUN
ejpam-6229	75	14	)	)	PUNCT
ejpam-6229	75	15	≤	≤	NOUN
ejpam-6229	75	16	m	m	PROPN
ejpam-6229	75	17	and	and	CCONJ
ejpam-6229	75	18	∫	∫	PROPN
ejpam-6229	75	19	t	t	PROPN
ejpam-6229	75	20	0	0	NUM
ejpam-6229	76	1	q(t	q(t	PROPN
ejpam-6229	76	2	,	,	PUNCT
ejpam-6229	76	3	s)ds	s)ds	PROPN
ejpam-6229	76	4	≤	≤	PROPN
ejpam-6229	76	5	1−∆	1−∆	NUM
ejpam-6229	76	6	for	for	ADP
ejpam-6229	76	7	∆	∆	PROPN
ejpam-6229	76	8	∈	∈	PROPN
ejpam-6229	76	9	(	(	PUNCT
ejpam-6229	76	10	0	0	NUM
ejpam-6229	76	11	,	,	PUNCT
ejpam-6229	76	12	1	1	NUM
ejpam-6229	76	13	)	)	PUNCT
ejpam-6229	76	14	,	,	PUNCT
ejpam-6229	76	15	iii	iii	X
ejpam-6229	76	16	)	)	PUNCT
ejpam-6229	76	17	the	the	DET
ejpam-6229	76	18	order	order	NOUN
ejpam-6229	76	19	of	of	ADP
ejpam-6229	76	20	primary	primary	ADJ
ejpam-6229	76	21	error	error	NOUN
ejpam-6229	76	22	is	be	AUX
ejpam-6229	76	23	m	m	VERB
ejpam-6229	76	24	+	+	NOUN
ejpam-6229	76	25	r	r	NOUN
ejpam-6229	76	26	,	,	PUNCT
ejpam-6229	76	27	and	and	CCONJ
ejpam-6229	76	28	the	the	DET
ejpam-6229	76	29	spectral	spectral	ADJ
ejpam-6229	76	30	radius	radius	NOUN
ejpam-6229	76	31	of	of	ADP
ejpam-6229	76	32	the	the	DET
ejpam-6229	76	33	matrix	matrix	NOUN
ejpam-6229	76	34	a	a	PRON
ejpam-6229	76	35	is	be	AUX
ejpam-6229	76	36	less	less	ADJ
ejpam-6229	76	37	than	than	ADP
ejpam-6229	76	38	1	1	NUM
ejpam-6229	76	39	,	,	PUNCT
ejpam-6229	76	40	(	(	PUNCT
ejpam-6229	76	41	ρ(a	ρ(a	NOUN
ejpam-6229	76	42	)	)	PUNCT
ejpam-6229	76	43	<	<	X
ejpam-6229	76	44	1	1	NUM
ejpam-6229	76	45	)	)	PUNCT
ejpam-6229	76	46	.	.	PUNCT
ejpam-6229	77	1	then	then	ADV
ejpam-6229	77	2	the	the	DET
ejpam-6229	77	3	nive	nive	NOUN
ejpam-6229	77	4	(	(	PUNCT
ejpam-6229	77	5	1	1	X
ejpam-6229	77	6	)	)	PUNCT
ejpam-6229	77	7	has	have	VERB
ejpam-6229	77	8	a	a	DET
ejpam-6229	77	9	unique	unique	ADJ
ejpam-6229	77	10	solution	solution	NOUN
ejpam-6229	77	11	x	x	X
ejpam-6229	77	12	∈	∈	NOUN
ejpam-6229	77	13	cm+r(i	cm+r(i	PROPN
ejpam-6229	77	14	)	)	PUNCT
ejpam-6229	77	15	and	and	CCONJ
ejpam-6229	77	16	for	for	ADP
ejpam-6229	77	17	the	the	DET
ejpam-6229	77	18	multi	multi	ADJ
ejpam-6229	77	19	-	-	ADJ
ejpam-6229	77	20	step	step	ADJ
ejpam-6229	77	21	collocation	collocation	NOUN
ejpam-6229	77	22	method	method	NOUN
ejpam-6229	77	23	,	,	PUNCT
ejpam-6229	77	24	we	we	PRON
ejpam-6229	77	25	have	have	VERB
ejpam-6229	77	26	:	:	PUNCT
ejpam-6229	77	27	∥x−	∥x−	PROPN
ejpam-6229	77	28	y∥∞	y∥∞	PROPN
ejpam-6229	77	29	≤	≤	NOUN
ejpam-6229	77	30	chm+r	chm+r	PROPN
ejpam-6229	77	31	,	,	PUNCT
ejpam-6229	77	32	such	such	ADJ
ejpam-6229	77	33	that	that	SCONJ
ejpam-6229	77	34	c	c	PROPN
ejpam-6229	77	35	is	be	AUX
ejpam-6229	77	36	a	a	DET
ejpam-6229	77	37	constant	constant	ADJ
ejpam-6229	77	38	not	not	PART
ejpam-6229	77	39	depending	depend	VERB
ejpam-6229	77	40	on	on	ADP
ejpam-6229	77	41	n	n	PROPN
ejpam-6229	77	42	.	.	PUNCT
ejpam-6229	78	1	2.2	2.2	NUM
ejpam-6229	78	2	.	.	PUNCT
ejpam-6229	79	1	new	new	ADJ
ejpam-6229	79	2	multi	multi	ADJ
ejpam-6229	79	3	-	-	ADJ
ejpam-6229	79	4	step	step	ADJ
ejpam-6229	79	5	collocation	collocation	NOUN
ejpam-6229	79	6	methods	method	NOUN
ejpam-6229	79	7	to	to	PART
ejpam-6229	79	8	construct	construct	VERB
ejpam-6229	79	9	the	the	DET
ejpam-6229	79	10	new	new	ADJ
ejpam-6229	79	11	multi	multi	ADJ
ejpam-6229	79	12	-	-	ADJ
ejpam-6229	79	13	step	step	ADJ
ejpam-6229	79	14	methods	method	NOUN
ejpam-6229	79	15	,	,	PUNCT
ejpam-6229	79	16	we	we	PRON
ejpam-6229	79	17	seek	seek	VERB
ejpam-6229	79	18	a	a	DET
ejpam-6229	79	19	collocation	collocation	NOUN
ejpam-6229	79	20	polynomial	polynomial	NOUN
ejpam-6229	79	21	of	of	ADP
ejpam-6229	79	22	the	the	DET
ejpam-6229	79	23	form	form	NOUN
ejpam-6229	79	24	y(tn	y(tn	NOUN
ejpam-6229	79	25	+	+	CCONJ
ejpam-6229	79	26	sh	sh	NOUN
ejpam-6229	79	27	)	)	PUNCT
ejpam-6229	79	28	=	=	SYM
ejpam-6229	79	29	r−1∑	r−1∑	PROPN
ejpam-6229	79	30	k=0	k=0	PROPN
ejpam-6229	79	31	lk(s)xn−k	lk(s)xn−k	PROPN
ejpam-6229	79	32	+	+	CCONJ
ejpam-6229	79	33	m∑	m∑	PROPN
ejpam-6229	79	34	j=1	j=1	PROPN
ejpam-6229	79	35	l̂j(s)yn	l̂j(s)yn	PROPN
ejpam-6229	79	36	,	,	PUNCT
ejpam-6229	79	37	j	j	PROPN
ejpam-6229	79	38	+	+	PUNCT
ejpam-6229	79	39	m∑	m∑	PROPN
ejpam-6229	79	40	j=1	j=1	PROPN
ejpam-6229	79	41	l̃j(s)yn+1,j	l̃j(s)yn+1,j	PROPN
ejpam-6229	79	42	,	,	PUNCT
ejpam-6229	79	43	n	n	NOUN
ejpam-6229	79	44	=	=	SYM
ejpam-6229	79	45	r	r	NOUN
ejpam-6229	79	46	−	−	NOUN
ejpam-6229	79	47	1	1	NUM
ejpam-6229	79	48	,	,	PUNCT
ejpam-6229	79	49	.	.	PUNCT
ejpam-6229	79	50	.	.	PUNCT
ejpam-6229	80	1	.	.	PUNCT
ejpam-6229	81	1	,	,	PUNCT
ejpam-6229	82	1	n	n	CCONJ
ejpam-6229	82	2	−	−	PROPN
ejpam-6229	82	3	2	2	NUM
ejpam-6229	82	4	,	,	PUNCT
ejpam-6229	82	5	(	(	PUNCT
ejpam-6229	82	6	4	4	X
ejpam-6229	82	7	)	)	PUNCT
ejpam-6229	82	8	where	where	SCONJ
ejpam-6229	82	9	yn	yn	PROPN
ejpam-6229	82	10	,	,	PUNCT
ejpam-6229	82	11	j	j	PROPN
ejpam-6229	82	12	=	=	SYM
ejpam-6229	82	13	y(tn	y(tn	PROPN
ejpam-6229	82	14	,	,	PUNCT
ejpam-6229	82	15	j	j	NOUN
ejpam-6229	82	16	)	)	PUNCT
ejpam-6229	82	17	,	,	PUNCT
ejpam-6229	82	18	yn+1,j	yn+1,j	NOUN
ejpam-6229	82	19	=	=	SYM
ejpam-6229	82	20	y(tn+1,j	y(tn+1,j	PROPN
ejpam-6229	82	21	)	)	PUNCT
ejpam-6229	82	22	,	,	PUNCT
ejpam-6229	82	23	lk(s	lk(s	X
ejpam-6229	82	24	)	)	PUNCT
ejpam-6229	82	25	=	=	PUNCT
ejpam-6229	83	1	r−1∏	r−1∏	ADP
ejpam-6229	83	2	i=0	i=0	PROPN
ejpam-6229	83	3	i	i	PRON
ejpam-6229	83	4	̸=k	̸=k	PROPN
ejpam-6229	83	5	s+	s+	PUNCT
ejpam-6229	83	6	i	i	PRON
ejpam-6229	83	7	−k	−k	VERB
ejpam-6229	83	8	+	+	CCONJ
ejpam-6229	84	1	i	i	PRON
ejpam-6229	84	2	·	·	PUNCT
ejpam-6229	85	1	m∏	m∏	NOUN
ejpam-6229	85	2	i=1	i=1	PART
ejpam-6229	86	1	s−	s−	PROPN
ejpam-6229	86	2	ci	ci	PROPN
ejpam-6229	86	3	−k	−k	PROPN
ejpam-6229	86	4	−	−	PROPN
ejpam-6229	86	5	ci	ci	NOUN
ejpam-6229	87	1	·	·	PUNCT
ejpam-6229	87	2	m∏	m∏	PROPN
ejpam-6229	87	3	i=1	i=1	PRON
ejpam-6229	88	1	s−	s−	PROPN
ejpam-6229	88	2	ci	ci	PROPN
ejpam-6229	89	1	−	−	NOUN
ejpam-6229	89	2	1	1	NUM
ejpam-6229	89	3	−k	−k	PROPN
ejpam-6229	89	4	−	−	PROPN
ejpam-6229	89	5	ci	ci	NOUN
ejpam-6229	89	6	−	−	NOUN
ejpam-6229	89	7	1	1	NUM
ejpam-6229	89	8	,	,	PUNCT
ejpam-6229	89	9	(	(	PUNCT
ejpam-6229	89	10	5	5	NUM
ejpam-6229	89	11	)	)	PUNCT
ejpam-6229	89	12	l̂j(s	l̂j(s	PROPN
ejpam-6229	89	13	)	)	PUNCT
ejpam-6229	90	1	=	=	PUNCT
ejpam-6229	90	2	r−1∏	r−1∏	PROPN
ejpam-6229	90	3	i=0	i=0	PROPN
ejpam-6229	90	4	s+	s+	PUNCT
ejpam-6229	90	5	i	i	PRON
ejpam-6229	90	6	cj	cj	VERB
ejpam-6229	91	1	+	+	CCONJ
ejpam-6229	91	2	i	i	PRON
ejpam-6229	91	3	·	·	PUNCT
ejpam-6229	92	1	m∏	m∏	NOUN
ejpam-6229	92	2	i=1	i=1	X
ejpam-6229	93	1	i	i	PRON
ejpam-6229	93	2	̸=j	̸=j	NOUN
ejpam-6229	93	3	s−	s−	PROPN
ejpam-6229	93	4	ci	ci	PROPN
ejpam-6229	93	5	cj	cj	PROPN
ejpam-6229	93	6	−	−	PROPN
ejpam-6229	94	1	ci	ci	NOUN
ejpam-6229	94	2	·	·	PUNCT
ejpam-6229	94	3	m∏	m∏	PROPN
ejpam-6229	94	4	i=1	i=1	PRON
ejpam-6229	95	1	s−	s−	PROPN
ejpam-6229	95	2	ci	ci	PROPN
ejpam-6229	96	1	−	−	NOUN
ejpam-6229	96	2	1	1	NUM
ejpam-6229	96	3	cj	cj	NOUN
ejpam-6229	96	4	−	−	PROPN
ejpam-6229	96	5	ci	ci	NOUN
ejpam-6229	96	6	−	−	NOUN
ejpam-6229	96	7	1	1	NUM
ejpam-6229	96	8	,	,	PUNCT
ejpam-6229	96	9	(	(	PUNCT
ejpam-6229	96	10	6	6	NUM
ejpam-6229	96	11	)	)	PUNCT
ejpam-6229	96	12	h.	h.	PROPN
ejpam-6229	96	13	a.	a.	NOUN
ejpam-6229	96	14	thabbah	thabbah	PROPN
ejpam-6229	96	15	,	,	PUNCT
ejpam-6229	96	16	s.	s.	PROPN
ejpam-6229	96	17	pishbin	pishbin	PROPN
ejpam-6229	96	18	,	,	PUNCT
ejpam-6229	96	19	p.	p.	NOUN
ejpam-6229	96	20	darania	darania	PROPN
ejpam-6229	96	21	/	/	SYM
ejpam-6229	96	22	eur	eur	PROPN
ejpam-6229	96	23	.	.	PUNCT
ejpam-6229	97	1	j.	j.	PROPN
ejpam-6229	97	2	pure	pure	PROPN
ejpam-6229	97	3	appl	appl	PROPN
ejpam-6229	97	4	.	.	PROPN
ejpam-6229	97	5	math	math	PROPN
ejpam-6229	97	6	,	,	PUNCT
ejpam-6229	97	7	18	18	NUM
ejpam-6229	97	8	(	(	PUNCT
ejpam-6229	97	9	3	3	NUM
ejpam-6229	97	10	)	)	PUNCT
ejpam-6229	97	11	(	(	PUNCT
ejpam-6229	97	12	2025	2025	NUM
ejpam-6229	97	13	)	)	PUNCT
ejpam-6229	97	14	,	,	PUNCT
ejpam-6229	97	15	6229	6229	NUM
ejpam-6229	97	16	5	5	NUM
ejpam-6229	97	17	of	of	ADP
ejpam-6229	97	18	16	16	NUM
ejpam-6229	97	19	l̃j(s	l̃j(s	NOUN
ejpam-6229	97	20	)	)	PUNCT
ejpam-6229	97	21	=	=	SYM
ejpam-6229	98	1	r−1∏	r−1∏	PROPN
ejpam-6229	98	2	i=0	i=0	PROPN
ejpam-6229	98	3	s+	s+	PUNCT
ejpam-6229	98	4	i	i	PRON
ejpam-6229	98	5	1	1	NUM
ejpam-6229	98	6	+	+	NUM
ejpam-6229	98	7	cj	cj	NOUN
ejpam-6229	99	1	+	+	CCONJ
ejpam-6229	99	2	i	i	PRON
ejpam-6229	99	3	·	·	PUNCT
ejpam-6229	100	1	m∏	m∏	NOUN
ejpam-6229	100	2	i=1	i=1	PRON
ejpam-6229	101	1	s−	s−	PROPN
ejpam-6229	101	2	ci	ci	NOUN
ejpam-6229	101	3	1	1	NUM
ejpam-6229	101	4	+	+	NUM
ejpam-6229	101	5	cj	cj	NOUN
ejpam-6229	102	1	−	−	PROPN
ejpam-6229	102	2	ci	ci	NOUN
ejpam-6229	102	3	·	·	PUNCT
ejpam-6229	102	4	m∏	m∏	NOUN
ejpam-6229	102	5	i=1	i=1	X
ejpam-6229	103	1	i	i	PRON
ejpam-6229	103	2	̸=j	̸=j	NOUN
ejpam-6229	103	3	s−	s−	PROPN
ejpam-6229	103	4	ci	ci	NOUN
ejpam-6229	103	5	−	−	NOUN
ejpam-6229	103	6	1	1	NUM
ejpam-6229	103	7	cj	cj	NOUN
ejpam-6229	103	8	−	−	PROPN
ejpam-6229	103	9	ci	ci	PROPN
ejpam-6229	103	10	,	,	PUNCT
ejpam-6229	103	11	(	(	PUNCT
ejpam-6229	103	12	7	7	X
ejpam-6229	103	13	)	)	PUNCT
ejpam-6229	103	14	also	also	ADV
ejpam-6229	103	15	the	the	DET
ejpam-6229	103	16	collocation	collocation	NOUN
ejpam-6229	103	17	parameters	parameter	NOUN
ejpam-6229	103	18	are	be	AUX
ejpam-6229	103	19	assumed	assume	VERB
ejpam-6229	103	20	to	to	PART
ejpam-6229	103	21	satisfy	satisfy	VERB
ejpam-6229	103	22	c1	c1	PROPN
ejpam-6229	103	23	̸=	̸=	PROPN
ejpam-6229	103	24	0	0	NUM
ejpam-6229	103	25	and	and	CCONJ
ejpam-6229	103	26	ci	ci	PROPN
ejpam-6229	103	27	̸=	̸=	PROPN
ejpam-6229	103	28	cj	cj	NOUN
ejpam-6229	103	29	for	for	ADP
ejpam-6229	103	30	i	i	PRON
ejpam-6229	103	31	̸=	̸=	PROPN
ejpam-6229	103	32	j.	j.	PROPN
ejpam-6229	103	33	in	in	ADP
ejpam-6229	103	34	the	the	DET
ejpam-6229	103	35	equations	equation	NOUN
ejpam-6229	103	36	(	(	PUNCT
ejpam-6229	103	37	1	1	X
ejpam-6229	103	38	)	)	PUNCT
ejpam-6229	103	39	by	by	ADP
ejpam-6229	103	40	substituting	substitute	VERB
ejpam-6229	103	41	t	t	NOUN
ejpam-6229	103	42	=	=	PUNCT
ejpam-6229	103	43	tn+1,i	tn+1,i	NOUN
ejpam-6229	103	44	and	and	CCONJ
ejpam-6229	103	45	approximate	approximate	ADJ
ejpam-6229	103	46	solution	solution	NOUN
ejpam-6229	103	47	(	(	PUNCT
ejpam-6229	103	48	4	4	NUM
ejpam-6229	103	49	)	)	PUNCT
ejpam-6229	103	50	,	,	PUNCT
ejpam-6229	103	51	we	we	PRON
ejpam-6229	103	52	will	will	AUX
ejpam-6229	103	53	have	have	VERB
ejpam-6229	103	54	yn+1,j	yn+1,j	NOUN
ejpam-6229	103	55	=	=	SYM
ejpam-6229	103	56	f(tn+1,j	f(tn+1,j	NOUN
ejpam-6229	103	57	)	)	PUNCT
ejpam-6229	104	1	+	+	CCONJ
ejpam-6229	105	1	h	h	NOUN
ejpam-6229	105	2	r−2∑	r−2∑	ADV
ejpam-6229	105	3	z=0	z=0	NUM
ejpam-6229	105	4	∫	∫	PROPN
ejpam-6229	106	1	1	1	NUM
ejpam-6229	106	2	0	0	NUM
ejpam-6229	106	3	k	k	NOUN
ejpam-6229	106	4	(	(	PUNCT
ejpam-6229	106	5	tn+1,j	tn+1,j	NOUN
ejpam-6229	106	6	,	,	PUNCT
ejpam-6229	106	7	tz	tz	PROPN
ejpam-6229	106	8	+	+	PROPN
ejpam-6229	106	9	sh	sh	PROPN
ejpam-6229	106	10	,	,	PUNCT
ejpam-6229	106	11	yn+1,j	yn+1,j	NOUN
ejpam-6229	106	12	,	,	PUNCT
ejpam-6229	106	13	y(tz	y(tz	ADP
ejpam-6229	106	14	+	+	PROPN
ejpam-6229	106	15	sh	sh	PROPN
ejpam-6229	106	16	)	)	PUNCT
ejpam-6229	106	17	)	)	PUNCT
ejpam-6229	107	1	ds	ds	PROPN
ejpam-6229	108	1	+	+	CCONJ
ejpam-6229	108	2	n−1∑	n−1∑	PROPN
ejpam-6229	108	3	z	z	X
ejpam-6229	109	1	=	=	NOUN
ejpam-6229	109	2	r−1	r−1	ADJ
ejpam-6229	109	3	h	h	NOUN
ejpam-6229	109	4	∫	∫	PROPN
ejpam-6229	109	5	1	1	NUM
ejpam-6229	109	6	0	0	NUM
ejpam-6229	109	7	(	(	PUNCT
ejpam-6229	109	8	k	k	X
ejpam-6229	109	9	(	(	PUNCT
ejpam-6229	109	10	tn+1,j	tn+1,j	NOUN
ejpam-6229	109	11	,	,	PUNCT
ejpam-6229	109	12	tz	tz	PROPN
ejpam-6229	109	13	+	+	PROPN
ejpam-6229	109	14	sh	sh	PROPN
ejpam-6229	109	15	,	,	PUNCT
ejpam-6229	109	16	yn+1,j	yn+1,j	NOUN
ejpam-6229	109	17	,	,	PUNCT
ejpam-6229	109	18	r−1∑	r−1∑	PROPN
ejpam-6229	109	19	k=0	k=0	PROPN
ejpam-6229	109	20	lk(s)xz−k	lk(s)xz−k	PROPN
ejpam-6229	110	1	+	+	CCONJ
ejpam-6229	110	2	m∑	m∑	CCONJ
ejpam-6229	110	3	i=1	i=1	PROPN
ejpam-6229	110	4	l̂i(s)yz	l̂i(s)yz	PROPN
ejpam-6229	110	5	,	,	PUNCT
ejpam-6229	110	6	i	i	PRON
ejpam-6229	110	7	+	+	NUM
ejpam-6229	110	8	m∑	m∑	INTJ
ejpam-6229	110	9	i=1	i=1	PRON
ejpam-6229	110	10	l̃i(s)yz+1,i	l̃i(s)yz+1,i	PROPN
ejpam-6229	110	11	)	)	PUNCT
ejpam-6229	110	12	)	)	PUNCT
ejpam-6229	111	1	ds+	ds+	PROPN
ejpam-6229	111	2	h	h	NOUN
ejpam-6229	111	3	∫	∫	PROPN
ejpam-6229	111	4	1	1	NUM
ejpam-6229	111	5	0	0	NUM
ejpam-6229	111	6	(	(	PUNCT
ejpam-6229	111	7	k	k	X
ejpam-6229	111	8	(	(	PUNCT
ejpam-6229	111	9	tn+1,j	tn+1,j	NOUN
ejpam-6229	111	10	,	,	PUNCT
ejpam-6229	111	11	tn	tn	PROPN
ejpam-6229	111	12	+	+	NUM
ejpam-6229	111	13	sh	sh	PROPN
ejpam-6229	111	14	,	,	PUNCT
ejpam-6229	111	15	yn+1,j	yn+1,j	NOUN
ejpam-6229	111	16	,	,	PUNCT
ejpam-6229	111	17	r−1∑	r−1∑	ADJ
ejpam-6229	111	18	k=0	k=0	PROPN
ejpam-6229	111	19	lk(s)xn−k	lk(s)xn−k	PROPN
ejpam-6229	112	1	+	+	CCONJ
ejpam-6229	112	2	m∑	m∑	CCONJ
ejpam-6229	112	3	i=1	i=1	PROPN
ejpam-6229	112	4	l̂i(s)yn	l̂i(s)yn	PROPN
ejpam-6229	112	5	,	,	PUNCT
ejpam-6229	112	6	i	i	PRON
ejpam-6229	112	7	+	+	SYM
ejpam-6229	112	8	m∑	m∑	CCONJ
ejpam-6229	112	9	i=1	i=1	PROPN
ejpam-6229	112	10	l̃i(s)yn+1,i	l̃i(s)yn+1,i	PROPN
ejpam-6229	112	11	)	)	PUNCT
ejpam-6229	112	12	)	)	PUNCT
ejpam-6229	113	1	ds+	ds+	PROPN
ejpam-6229	114	1	h	h	PROPN
ejpam-6229	114	2	∫	∫	PROPN
ejpam-6229	114	3	cj	cj	PROPN
ejpam-6229	114	4	0	0	NUM
ejpam-6229	115	1	(	(	PUNCT
ejpam-6229	115	2	k	k	NOUN
ejpam-6229	115	3	(	(	PUNCT
ejpam-6229	115	4	tn+1,j	tn+1,j	NOUN
ejpam-6229	115	5	,	,	PUNCT
ejpam-6229	115	6	tn+1	tn+1	PROPN
ejpam-6229	115	7	+	+	CCONJ
ejpam-6229	116	1	sh	sh	PROPN
ejpam-6229	116	2	,	,	PUNCT
ejpam-6229	116	3	yn+1,j	yn+1,j	NOUN
ejpam-6229	116	4	,	,	PUNCT
ejpam-6229	116	5	r−1∑	r−1∑	ADJ
ejpam-6229	116	6	k=0	k=0	PROPN
ejpam-6229	116	7	lk(1	lk(1	NOUN
ejpam-6229	116	8	+	+	NUM
ejpam-6229	116	9	s)xn−k	s)xn−k	NOUN
ejpam-6229	116	10	+	+	CCONJ
ejpam-6229	116	11	m∑	m∑	CCONJ
ejpam-6229	116	12	i=1	i=1	PRON
ejpam-6229	116	13	l̂i(1	l̂i(1	NOUN
ejpam-6229	117	1	+	+	CCONJ
ejpam-6229	117	2	s)yn	s)yn	PROPN
ejpam-6229	117	3	,	,	PUNCT
ejpam-6229	117	4	i	i	PRON
ejpam-6229	117	5	+	+	NUM
ejpam-6229	117	6	m∑	m∑	CCONJ
ejpam-6229	117	7	i=1	i=1	PROPN
ejpam-6229	118	1	l̃i(1	l̃i(1	PROPN
ejpam-6229	118	2	+	+	CCONJ
ejpam-6229	118	3	s)yn+1,i	s)yn+1,i	NOUN
ejpam-6229	118	4	)	)	PUNCT
ejpam-6229	118	5	)	)	PUNCT
ejpam-6229	118	6	ds	ds	PROPN
ejpam-6229	118	7	,	,	PUNCT
ejpam-6229	118	8	(	(	PUNCT
ejpam-6229	118	9	8)	8)	NUM
ejpam-6229	118	10	with	with	ADP
ejpam-6229	118	11	yn+1	yn+1	PROPN
ejpam-6229	118	12	=	=	SYM
ejpam-6229	118	13	r−1∑	r−1∑	PROPN
ejpam-6229	118	14	k=0	k=0	PROPN
ejpam-6229	118	15	lk(1)xn−k	lk(1)xn−k	X
ejpam-6229	118	16	+	+	CCONJ
ejpam-6229	118	17	m∑	m∑	CCONJ
ejpam-6229	118	18	j=1	j=1	ADJ
ejpam-6229	118	19	l̂j(1)yn	l̂j(1)yn	PROPN
ejpam-6229	118	20	,	,	PUNCT
ejpam-6229	118	21	j	j	PROPN
ejpam-6229	118	22	+	+	PUNCT
ejpam-6229	118	23	m∑	m∑	ADV
ejpam-6229	118	24	j=1	j=1	ADJ
ejpam-6229	118	25	l̃j(1)yn+1,j	l̃j(1)yn+1,j	NOUN
ejpam-6229	118	26	.	.	PUNCT
ejpam-6229	119	1	in	in	ADP
ejpam-6229	119	2	general	general	ADJ
ejpam-6229	119	3	,	,	PUNCT
ejpam-6229	119	4	the	the	DET
ejpam-6229	119	5	integrals	integral	NOUN
ejpam-6229	119	6	in	in	ADP
ejpam-6229	119	7	the	the	DET
ejpam-6229	119	8	system	system	NOUN
ejpam-6229	119	9	(	(	PUNCT
ejpam-6229	119	10	8)	8)	NUM
ejpam-6229	119	11	,	,	PUNCT
ejpam-6229	119	12	can	can	AUX
ejpam-6229	119	13	be	be	AUX
ejpam-6229	119	14	computed	compute	VERB
ejpam-6229	119	15	approximately	approximately	ADV
ejpam-6229	119	16	by	by	ADP
ejpam-6229	119	17	using	use	VERB
ejpam-6229	119	18	quadrature	quadrature	NOUN
ejpam-6229	119	19	formulas	formula	NOUN
ejpam-6229	119	20	to	to	PART
ejpam-6229	119	21	yield	yield	VERB
ejpam-6229	119	22	the	the	DET
ejpam-6229	119	23	discretized	discretized	ADJ
ejpam-6229	119	24	version	version	NOUN
ejpam-6229	119	25	of	of	ADP
ejpam-6229	119	26	this	this	DET
ejpam-6229	119	27	non	non	ADJ
ejpam-6229	119	28	-	-	ADJ
ejpam-6229	119	29	linear	linear	ADJ
ejpam-6229	119	30	system	system	NOUN
ejpam-6229	119	31	.	.	PUNCT
ejpam-6229	120	1	3	3	X
ejpam-6229	120	2	.	.	X
ejpam-6229	120	3	convergence	convergence	NOUN
ejpam-6229	120	4	analysis	analysis	NOUN
ejpam-6229	120	5	consider	consider	VERB
ejpam-6229	120	6	the	the	DET
ejpam-6229	120	7	nvie	nvie	NOUN
ejpam-6229	120	8	(	(	PUNCT
ejpam-6229	120	9	1	1	NUM
ejpam-6229	120	10	)	)	PUNCT
ejpam-6229	120	11	,	,	PUNCT
ejpam-6229	120	12	and	and	CCONJ
ejpam-6229	120	13	it	it	PRON
ejpam-6229	120	14	’s	’	VERB
ejpam-6229	120	15	corresponding	correspond	VERB
ejpam-6229	120	16	collocation	collocation	NOUN
ejpam-6229	120	17	equation	equation	NOUN
ejpam-6229	120	18	y(t	y(t	NUM
ejpam-6229	120	19	)	)	PUNCT
ejpam-6229	121	1	=	=	SYM
ejpam-6229	121	2	f(t	f(t	NOUN
ejpam-6229	121	3	)	)	PUNCT
ejpam-6229	122	1	+	+	CCONJ
ejpam-6229	123	1	∫	∫	PROPN
ejpam-6229	123	2	t	t	NOUN
ejpam-6229	123	3	0	0	NUM
ejpam-6229	123	4	k(t	k(t	PROPN
ejpam-6229	123	5	,	,	PUNCT
ejpam-6229	123	6	s	s	X
ejpam-6229	123	7	,	,	PUNCT
ejpam-6229	123	8	y(t	y(t	PROPN
ejpam-6229	123	9	)	)	PUNCT
ejpam-6229	123	10	,	,	PUNCT
ejpam-6229	123	11	y(s))ds	y(s))ds	PROPN
ejpam-6229	123	12	.	.	PUNCT
ejpam-6229	124	1	(	(	PUNCT
ejpam-6229	124	2	9	9	NUM
ejpam-6229	124	3	)	)	PUNCT
ejpam-6229	124	4	by	by	ADP
ejpam-6229	124	5	subtracting	subtract	VERB
ejpam-6229	124	6	equation	equation	NOUN
ejpam-6229	124	7	(	(	PUNCT
ejpam-6229	124	8	9	9	NUM
ejpam-6229	124	9	)	)	PUNCT
ejpam-6229	124	10	from	from	ADP
ejpam-6229	124	11	(	(	PUNCT
ejpam-6229	124	12	1	1	NUM
ejpam-6229	124	13	)	)	PUNCT
ejpam-6229	124	14	,	,	PUNCT
ejpam-6229	124	15	we	we	PRON
ejpam-6229	124	16	will	will	AUX
ejpam-6229	124	17	get	get	VERB
ejpam-6229	124	18	e(t	e(t	NOUN
ejpam-6229	124	19	)	)	PUNCT
ejpam-6229	125	1	=	=	SYM
ejpam-6229	126	1	∫	∫	PROPN
ejpam-6229	126	2	t	t	PROPN
ejpam-6229	126	3	0	0	NUM
ejpam-6229	126	4	(	(	PUNCT
ejpam-6229	126	5	k(t	k(t	PROPN
ejpam-6229	126	6	,	,	PUNCT
ejpam-6229	126	7	s	s	X
ejpam-6229	126	8	,	,	PUNCT
ejpam-6229	126	9	x(t	x(t	PROPN
ejpam-6229	126	10	)	)	PUNCT
ejpam-6229	126	11	,	,	PUNCT
ejpam-6229	126	12	x(s))−k(t	x(s))−k(t	X
ejpam-6229	126	13	,	,	PUNCT
ejpam-6229	126	14	s	s	PROPN
ejpam-6229	126	15	,	,	PUNCT
ejpam-6229	126	16	y(t	y(t	PROPN
ejpam-6229	126	17	)	)	PUNCT
ejpam-6229	126	18	,	,	PUNCT
ejpam-6229	126	19	y(s	y(s	PROPN
ejpam-6229	126	20	)	)	PUNCT
ejpam-6229	126	21	)	)	PUNCT
ejpam-6229	126	22	)	)	PUNCT
ejpam-6229	127	1	ds	ds	PROPN
ejpam-6229	127	2	,	,	PUNCT
ejpam-6229	127	3	(	(	PUNCT
ejpam-6229	127	4	10	10	NUM
ejpam-6229	127	5	)	)	PUNCT
ejpam-6229	127	6	where	where	SCONJ
ejpam-6229	127	7	e(t	e(t	NOUN
ejpam-6229	127	8	)	)	PUNCT
ejpam-6229	127	9	=	=	SYM
ejpam-6229	127	10	x(t)−	x(t)−	PROPN
ejpam-6229	127	11	y(t	y(t	PROPN
ejpam-6229	127	12	)	)	PUNCT
ejpam-6229	127	13	,	,	PUNCT
ejpam-6229	127	14	is	be	AUX
ejpam-6229	127	15	the	the	DET
ejpam-6229	127	16	error	error	NOUN
ejpam-6229	127	17	function	function	NOUN
ejpam-6229	127	18	.	.	PUNCT
ejpam-6229	128	1	before	before	ADP
ejpam-6229	128	2	investigating	investigate	VERB
ejpam-6229	128	3	the	the	DET
ejpam-6229	128	4	convergence	convergence	NOUN
ejpam-6229	128	5	analysis	analysis	NOUN
ejpam-6229	128	6	of	of	ADP
ejpam-6229	128	7	the	the	DET
ejpam-6229	128	8	new	new	ADJ
ejpam-6229	128	9	multi	multi	ADJ
ejpam-6229	128	10	-	-	ADJ
ejpam-6229	128	11	step	step	ADJ
ejpam-6229	128	12	collocation	collocation	NOUN
ejpam-6229	128	13	solutions	solution	NOUN
ejpam-6229	128	14	,	,	PUNCT
ejpam-6229	128	15	taylor	taylor	PROPN
ejpam-6229	128	16	’s	’s	PART
ejpam-6229	128	17	theorem	theorem	VERB
ejpam-6229	128	18	to	to	PART
ejpam-6229	128	19	multivariate	multivariate	VERB
ejpam-6229	128	20	functions	function	NOUN
ejpam-6229	128	21	[	[	X
ejpam-6229	128	22	16	16	NUM
ejpam-6229	128	23	,	,	PUNCT
ejpam-6229	128	24	23	23	NUM
ejpam-6229	128	25	,	,	PUNCT
ejpam-6229	128	26	24	24	NUM
ejpam-6229	128	27	]	]	PUNCT
ejpam-6229	128	28	is	be	AUX
ejpam-6229	128	29	considered	consider	VERB
ejpam-6229	128	30	as	as	ADP
ejpam-6229	128	31	:	:	PUNCT
ejpam-6229	128	32	h.	h.	PROPN
ejpam-6229	128	33	a.	a.	PROPN
ejpam-6229	128	34	thabbah	thabbah	PROPN
ejpam-6229	128	35	,	,	PUNCT
ejpam-6229	128	36	s.	s.	PROPN
ejpam-6229	128	37	pishbin	pishbin	PROPN
ejpam-6229	128	38	,	,	PUNCT
ejpam-6229	128	39	p.	p.	NOUN
ejpam-6229	128	40	darania	darania	PROPN
ejpam-6229	128	41	/	/	SYM
ejpam-6229	128	42	eur	eur	PROPN
ejpam-6229	128	43	.	.	PUNCT
ejpam-6229	129	1	j.	j.	PROPN
ejpam-6229	129	2	pure	pure	PROPN
ejpam-6229	129	3	appl	appl	PROPN
ejpam-6229	129	4	.	.	PROPN
ejpam-6229	129	5	math	math	PROPN
ejpam-6229	129	6	,	,	PUNCT
ejpam-6229	129	7	18	18	NUM
ejpam-6229	129	8	(	(	PUNCT
ejpam-6229	129	9	3	3	NUM
ejpam-6229	129	10	)	)	PUNCT
ejpam-6229	129	11	(	(	PUNCT
ejpam-6229	129	12	2025	2025	NUM
ejpam-6229	129	13	)	)	PUNCT
ejpam-6229	129	14	,	,	PUNCT
ejpam-6229	129	15	6229	6229	NUM
ejpam-6229	129	16	6	6	NUM
ejpam-6229	129	17	of	of	ADP
ejpam-6229	129	18	16	16	NUM
ejpam-6229	129	19	lemma	lemma	PROPN
ejpam-6229	129	20	1	1	NUM
ejpam-6229	129	21	.	.	PUNCT
ejpam-6229	129	22	assume	assume	VERB
ejpam-6229	129	23	that	that	SCONJ
ejpam-6229	129	24	the	the	DET
ejpam-6229	129	25	function	function	NOUN
ejpam-6229	129	26	g	g	NOUN
ejpam-6229	129	27	:	:	PUNCT
ejpam-6229	129	28	rn	rn	PROPN
ejpam-6229	129	29	→	→	SYM
ejpam-6229	129	30	r	r	NOUN
ejpam-6229	129	31	,	,	PUNCT
ejpam-6229	129	32	for	for	ADP
ejpam-6229	129	33	some	some	DET
ejpam-6229	129	34	r	r	NOUN
ejpam-6229	129	35	>	>	X
ejpam-6229	129	36	0	0	NUM
ejpam-6229	129	37	in	in	ADP
ejpam-6229	129	38	a	a	DET
ejpam-6229	129	39	closed	closed	ADJ
ejpam-6229	129	40	ball	ball	NOUN
ejpam-6229	129	41	a	a	PRON
ejpam-6229	129	42	=	=	PUNCT
ejpam-6229	129	43	{	{	PUNCT
ejpam-6229	129	44	y	y	PROPN
ejpam-6229	129	45	∈	∈	PROPN
ejpam-6229	129	46	rn	rn	PROPN
ejpam-6229	129	47	:	:	PUNCT
ejpam-6229	129	48	||x0	||x0	VERB
ejpam-6229	129	49	−	−	PROPN
ejpam-6229	129	50	y||	y||	NOUN
ejpam-6229	129	51	≤	≤	X
ejpam-6229	129	52	r	r	NOUN
ejpam-6229	129	53	}	}	PUNCT
ejpam-6229	129	54	,	,	PUNCT
ejpam-6229	129	55	g	g	PROPN
ejpam-6229	129	56	∈	∈	PROPN
ejpam-6229	129	57	ck+1(a	ck+1(a	PROPN
ejpam-6229	129	58	)	)	PUNCT
ejpam-6229	129	59	.	.	PUNCT
ejpam-6229	130	1	then	then	ADV
ejpam-6229	130	2	we	we	PRON
ejpam-6229	130	3	can	can	AUX
ejpam-6229	130	4	derive	derive	VERB
ejpam-6229	130	5	the	the	DET
ejpam-6229	130	6	following	follow	VERB
ejpam-6229	130	7	formula	formula	NOUN
ejpam-6229	130	8	for	for	ADP
ejpam-6229	130	9	the	the	DET
ejpam-6229	130	10	remainder	remainder	NOUN
ejpam-6229	130	11	in	in	ADP
ejpam-6229	130	12	a	a	DET
ejpam-6229	130	13	,	,	PUNCT
ejpam-6229	130	14	namely	namely	ADV
ejpam-6229	130	15	,	,	PUNCT
ejpam-6229	130	16	g(x	g(x	NOUN
ejpam-6229	130	17	)	)	PUNCT
ejpam-6229	131	1	=	=	PUNCT
ejpam-6229	131	2	∑	∑	PUNCT
ejpam-6229	131	3	|α|≤k	|α|≤k	PROPN
ejpam-6229	131	4	dαg(x0	dαg(x0	PROPN
ejpam-6229	131	5	)	)	PUNCT
ejpam-6229	131	6	α	α	NOUN
ejpam-6229	131	7	!	!	PUNCT
ejpam-6229	132	1	(	(	PUNCT
ejpam-6229	132	2	x−	x−	PROPN
ejpam-6229	132	3	x0	x0	PROPN
ejpam-6229	132	4	)	)	PUNCT
ejpam-6229	133	1	k	k	X
ejpam-6229	133	2	+	+	CCONJ
ejpam-6229	133	3	∑	∑	PART
ejpam-6229	133	4	|β|=k+1	|β|=k+1	PROPN
ejpam-6229	133	5	rβ(x)(x−	rβ(x)(x−	NOUN
ejpam-6229	133	6	x0	x0	NUM
ejpam-6229	133	7	)	)	PUNCT
ejpam-6229	134	1	β	β	X
ejpam-6229	134	2	,	,	PUNCT
ejpam-6229	134	3	where	where	SCONJ
ejpam-6229	134	4	rβ(x	rβ(x	NOUN
ejpam-6229	134	5	)	)	PUNCT
ejpam-6229	134	6	=	=	PUNCT
ejpam-6229	134	7	|β|	|β|	X
ejpam-6229	134	8	β	β	X
ejpam-6229	134	9	!	!	PUNCT
ejpam-6229	134	10	∫	∫	PROPN
ejpam-6229	135	1	1	1	NUM
ejpam-6229	135	2	0	0	NUM
ejpam-6229	135	3	(	(	PUNCT
ejpam-6229	135	4	1−	1−	NUM
ejpam-6229	135	5	t)|β|−1dβg(x0	t)|β|−1dβg(x0	X
ejpam-6229	135	6	+	+	CCONJ
ejpam-6229	135	7	t(x−	t(x−	PROPN
ejpam-6229	135	8	x0))dt	x0))dt	NOUN
ejpam-6229	135	9	.	.	PROPN
ejpam-6229	135	10	theorem	theorem	PROPN
ejpam-6229	135	11	2	2	NUM
ejpam-6229	135	12	.	.	PUNCT
ejpam-6229	136	1	let	let	VERB
ejpam-6229	136	2	the	the	DET
ejpam-6229	136	3	second	second	ADJ
ejpam-6229	136	4	condition	condition	NOUN
ejpam-6229	136	5	of	of	ADP
ejpam-6229	136	6	theorem	theorem	NOUN
ejpam-6229	136	7	1	1	NUM
ejpam-6229	136	8	is	be	AUX
ejpam-6229	136	9	hold	hold	NOUN
ejpam-6229	136	10	and	and	CCONJ
ejpam-6229	136	11	for	for	ADP
ejpam-6229	136	12	the	the	DET
ejpam-6229	136	13	known	know	VERB
ejpam-6229	136	14	functions	function	NOUN
ejpam-6229	136	15	in	in	ADP
ejpam-6229	136	16	(	(	PUNCT
ejpam-6229	136	17	1	1	NUM
ejpam-6229	136	18	):	):	PUNCT
ejpam-6229	136	19	a1	a1	NOUN
ejpam-6229	136	20	.	.	PUNCT
ejpam-6229	137	1	k	k	PROPN
ejpam-6229	137	2	∈	∈	PROPN
ejpam-6229	137	3	cp(d	cp(d	NOUN
ejpam-6229	137	4	×	×	NOUN
ejpam-6229	137	5	r×	r×	NOUN
ejpam-6229	137	6	r	r	NOUN
ejpam-6229	137	7	)	)	PUNCT
ejpam-6229	137	8	,	,	PUNCT
ejpam-6229	137	9	for	for	ADP
ejpam-6229	137	10	some	some	DET
ejpam-6229	137	11	m	m	VERB
ejpam-6229	137	12	≥	≥	NOUN
ejpam-6229	137	13	1	1	NUM
ejpam-6229	137	14	,	,	PUNCT
ejpam-6229	137	15	and	and	CCONJ
ejpam-6229	137	16	f	f	PROPN
ejpam-6229	137	17	∈	∈	PROPN
ejpam-6229	137	18	cp(i	cp(i	NUM
ejpam-6229	137	19	)	)	PUNCT
ejpam-6229	137	20	.	.	PUNCT
ejpam-6229	138	1	a2	a2	PROPN
ejpam-6229	138	2	.	.	PUNCT
ejpam-6229	139	1	order	order	NOUN
ejpam-6229	139	2	of	of	ADP
ejpam-6229	139	3	primary	primary	ADJ
ejpam-6229	139	4	error	error	NOUN
ejpam-6229	139	5	is	be	AUX
ejpam-6229	139	6	p	p	ADJ
ejpam-6229	139	7	and	and	CCONJ
ejpam-6229	139	8	the	the	DET
ejpam-6229	139	9	spectral	spectral	ADJ
ejpam-6229	139	10	radius	radius	NOUN
ejpam-6229	139	11	of	of	ADP
ejpam-6229	139	12	the	the	DET
ejpam-6229	139	13	matrix	matrix	NOUN
ejpam-6229	139	14	ã	ã	PROPN
ejpam-6229	139	15	is	be	AUX
ejpam-6229	139	16	less	less	ADJ
ejpam-6229	139	17	than	than	ADP
ejpam-6229	139	18	1	1	NUM
ejpam-6229	139	19	(	(	PUNCT
ejpam-6229	139	20	ρ(ã	ρ(ã	PROPN
ejpam-6229	139	21	)	)	PUNCT
ejpam-6229	139	22	<	<	X
ejpam-6229	139	23	1	1	X
ejpam-6229	139	24	)	)	PUNCT
ejpam-6229	139	25	where	where	SCONJ
ejpam-6229	139	26	ã	ã	PROPN
ejpam-6229	139	27	=	=	PRON
ejpam-6229	140	1	[	[	PUNCT
ejpam-6229	140	2	000r−1,1	000r−1,1	INTJ
ejpam-6229	140	3	ir−1	ir−1	ADV
ejpam-6229	140	4	lr−1(1	lr−1(1	ADJ
ejpam-6229	140	5	)	)	PUNCT
ejpam-6229	140	6	lr−2(1	lr−2(1	NOUN
ejpam-6229	140	7	)	)	PUNCT
ejpam-6229	140	8	,	,	PUNCT
ejpam-6229	140	9	.	.	PUNCT
ejpam-6229	140	10	.	.	PUNCT
ejpam-6229	140	11	.	.	PUNCT
ejpam-6229	141	1	,	,	PUNCT
ejpam-6229	141	2	l0(1	l0(1	PROPN
ejpam-6229	141	3	)	)	PUNCT
ejpam-6229	141	4	,	,	PUNCT
ejpam-6229	141	5	]	]	PUNCT
ejpam-6229	141	6	.	.	PUNCT
ejpam-6229	142	1	(	(	PUNCT
ejpam-6229	142	2	11	11	NUM
ejpam-6229	142	3	)	)	PUNCT
ejpam-6229	142	4	then	then	ADV
ejpam-6229	142	5	,	,	PUNCT
ejpam-6229	142	6	there	there	PRON
ejpam-6229	142	7	exist	exist	VERB
ejpam-6229	142	8	constant	constant	ADJ
ejpam-6229	142	9	c	c	NOUN
ejpam-6229	142	10	not	not	PART
ejpam-6229	142	11	depending	depend	VERB
ejpam-6229	142	12	on	on	ADP
ejpam-6229	142	13	n	n	PRON
ejpam-6229	142	14	such	such	ADJ
ejpam-6229	142	15	that	that	SCONJ
ejpam-6229	142	16	∥x−	∥x−	PROPN
ejpam-6229	142	17	y∥∞	y∥∞	PROPN
ejpam-6229	142	18	≤	≤	PUNCT
ejpam-6229	142	19	chp	chp	NOUN
ejpam-6229	142	20	,	,	PUNCT
ejpam-6229	142	21	where	where	SCONJ
ejpam-6229	142	22	p	p	NOUN
ejpam-6229	142	23	=	=	NOUN
ejpam-6229	142	24	2m+	2m+	NUM
ejpam-6229	142	25	r.	r.	NOUN
ejpam-6229	142	26	proof	proof	NOUN
ejpam-6229	142	27	.	.	PUNCT
ejpam-6229	143	1	now	now	ADV
ejpam-6229	143	2	,	,	PUNCT
ejpam-6229	143	3	by	by	ADP
ejpam-6229	143	4	peano	peano	PROPN
ejpam-6229	143	5	’s	’s	PART
ejpam-6229	143	6	theorem	theorem	NOUN
ejpam-6229	143	7	[	[	PUNCT
ejpam-6229	143	8	16	16	NUM
ejpam-6229	143	9	,	,	PUNCT
ejpam-6229	143	10	25	25	NUM
ejpam-6229	143	11	]	]	PUNCT
ejpam-6229	143	12	,	,	PUNCT
ejpam-6229	143	13	for	for	ADP
ejpam-6229	143	14	s	s	PROPN
ejpam-6229	143	15	∈	∈	PROPN
ejpam-6229	144	1	[	[	X
ejpam-6229	144	2	0	0	NUM
ejpam-6229	144	3	,	,	PUNCT
ejpam-6229	144	4	1	1	NUM
ejpam-6229	144	5	]	]	PUNCT
ejpam-6229	144	6	,	,	PUNCT
ejpam-6229	144	7	the	the	DET
ejpam-6229	144	8	error	error	NOUN
ejpam-6229	144	9	e(t	e(t	NOUN
ejpam-6229	144	10	)	)	PUNCT
ejpam-6229	144	11	:	:	PUNCT
ejpam-6229	145	1	=	=	PUNCT
ejpam-6229	145	2	x(t)−	x(t)−	PROPN
ejpam-6229	145	3	y(t	y(t	PROPN
ejpam-6229	145	4	)	)	PUNCT
ejpam-6229	145	5	is	be	AUX
ejpam-6229	145	6	written	write	VERB
ejpam-6229	145	7	as	as	ADP
ejpam-6229	145	8	:	:	PUNCT
ejpam-6229	145	9	e(tλ	e(tλ	PROPN
ejpam-6229	145	10	+	+	CCONJ
ejpam-6229	145	11	sh	sh	X
ejpam-6229	145	12	)	)	PUNCT
ejpam-6229	145	13	=	=	SYM
ejpam-6229	146	1	r−1∑	r−1∑	PROPN
ejpam-6229	146	2	k=0	k=0	PROPN
ejpam-6229	146	3	lk(s)ελ−k	lk(s)ελ−k	PROPN
ejpam-6229	147	1	+	+	CCONJ
ejpam-6229	147	2	m∑	m∑	ADV
ejpam-6229	147	3	j=1	j=1	PROPN
ejpam-6229	147	4	l̂j(s)ελ	l̂j(s)ελ	PROPN
ejpam-6229	147	5	,	,	PUNCT
ejpam-6229	147	6	j	j	PROPN
ejpam-6229	147	7	+	+	PUNCT
ejpam-6229	147	8	m∑	m∑	ADV
ejpam-6229	147	9	j=1	j=1	ADJ
ejpam-6229	147	10	l̃j(s)ελ+1,j	l̃j(s)ελ+1,j	PROPN
ejpam-6229	147	11	+	+	PUNCT
ejpam-6229	147	12	h2m+rrm	h2m+rrm	NUM
ejpam-6229	147	13	,	,	PUNCT
ejpam-6229	147	14	r	r	NOUN
ejpam-6229	147	15	,	,	PUNCT
ejpam-6229	147	16	λ(s	λ(s	PROPN
ejpam-6229	147	17	)	)	PUNCT
ejpam-6229	147	18	,	,	PUNCT
ejpam-6229	147	19	(	(	PUNCT
ejpam-6229	147	20	12	12	NUM
ejpam-6229	147	21	)	)	PUNCT
ejpam-6229	147	22	where	where	SCONJ
ejpam-6229	147	23	rm	rm	PROPN
ejpam-6229	147	24	,	,	PUNCT
ejpam-6229	147	25	r	r	PROPN
ejpam-6229	147	26	,	,	PUNCT
ejpam-6229	147	27	n(s	n(s	PROPN
ejpam-6229	147	28	)	)	PUNCT
ejpam-6229	147	29	is	be	AUX
ejpam-6229	147	30	the	the	DET
ejpam-6229	147	31	peano	peano	NOUN
ejpam-6229	147	32	remainder	remainder	NOUN
ejpam-6229	147	33	and	and	CCONJ
ejpam-6229	147	34	ελ	ελ	NOUN
ejpam-6229	147	35	,	,	PUNCT
ejpam-6229	147	36	j	j	NOUN
ejpam-6229	147	37	:	:	PUNCT
ejpam-6229	147	38	=	=	SYM
ejpam-6229	147	39	xλ	xλ	PROPN
ejpam-6229	147	40	,	,	PUNCT
ejpam-6229	147	41	j	j	PROPN
ejpam-6229	147	42	−	−	PROPN
ejpam-6229	148	1	yλ	yλ	PROPN
ejpam-6229	148	2	,	,	PUNCT
ejpam-6229	148	3	j	j	PROPN
ejpam-6229	148	4	.	.	PUNCT
ejpam-6229	149	1	from	from	ADP
ejpam-6229	149	2	(	(	PUNCT
ejpam-6229	149	3	8)	8)	NUM
ejpam-6229	149	4	and	and	CCONJ
ejpam-6229	149	5	(	(	PUNCT
ejpam-6229	149	6	10	10	NUM
ejpam-6229	149	7	)	)	PUNCT
ejpam-6229	149	8	,	,	PUNCT
ejpam-6229	149	9	for	for	ADP
ejpam-6229	149	10	λ	λ	PROPN
ejpam-6229	149	11	=	=	SYM
ejpam-6229	149	12	n+	n+	NUM
ejpam-6229	149	13	1	1	NUM
ejpam-6229	149	14	,	,	PUNCT
ejpam-6229	149	15	we	we	PRON
ejpam-6229	149	16	have	have	VERB
ejpam-6229	149	17	h.	h.	PROPN
ejpam-6229	149	18	a.	a.	PROPN
ejpam-6229	149	19	thabbah	thabbah	PROPN
ejpam-6229	149	20	,	,	PUNCT
ejpam-6229	149	21	s.	s.	PROPN
ejpam-6229	149	22	pishbin	pishbin	PROPN
ejpam-6229	149	23	,	,	PUNCT
ejpam-6229	149	24	p.	p.	NOUN
ejpam-6229	149	25	darania	darania	PROPN
ejpam-6229	149	26	/	/	SYM
ejpam-6229	149	27	eur	eur	PROPN
ejpam-6229	149	28	.	.	PUNCT
ejpam-6229	150	1	j.	j.	PROPN
ejpam-6229	150	2	pure	pure	PROPN
ejpam-6229	150	3	appl	appl	PROPN
ejpam-6229	150	4	.	.	PROPN
ejpam-6229	150	5	math	math	PROPN
ejpam-6229	150	6	,	,	PUNCT
ejpam-6229	150	7	18	18	NUM
ejpam-6229	150	8	(	(	PUNCT
ejpam-6229	150	9	3	3	NUM
ejpam-6229	150	10	)	)	PUNCT
ejpam-6229	150	11	(	(	PUNCT
ejpam-6229	150	12	2025	2025	NUM
ejpam-6229	150	13	)	)	PUNCT
ejpam-6229	150	14	,	,	PUNCT
ejpam-6229	150	15	6229	6229	NUM
ejpam-6229	150	16	7	7	NUM
ejpam-6229	150	17	of	of	ADP
ejpam-6229	150	18	16	16	NUM
ejpam-6229	150	19	εn+1,j	εn+1,j	NOUN
ejpam-6229	150	20	=	=	SYM
ejpam-6229	150	21	∫	∫	PROPN
ejpam-6229	150	22	tn+1,j	tn+1,j	NOUN
ejpam-6229	150	23	0	0	NUM
ejpam-6229	150	24	k(tn+1,j	k(tn+1,j	NOUN
ejpam-6229	150	25	,	,	PUNCT
ejpam-6229	150	26	s	s	PROPN
ejpam-6229	150	27	,	,	PUNCT
ejpam-6229	150	28	xn+1,j	xn+1,j	NOUN
ejpam-6229	150	29	,	,	PUNCT
ejpam-6229	150	30	x(s))ds−	x(s))ds−	PROPN
ejpam-6229	150	31	∫	∫	PROPN
ejpam-6229	150	32	tn+1,j	tn+1,j	PROPN
ejpam-6229	150	33	0	0	NUM
ejpam-6229	151	1	k(tn+1,j	k(tn+1,j	NOUN
ejpam-6229	151	2	,	,	PUNCT
ejpam-6229	151	3	s	s	X
ejpam-6229	151	4	,	,	PUNCT
ejpam-6229	151	5	yn+1,j	yn+1,j	NOUN
ejpam-6229	151	6	,	,	PUNCT
ejpam-6229	151	7	y(s))ds	y(s))ds	PROPN
ejpam-6229	151	8	=	=	SYM
ejpam-6229	151	9	∫	∫	PROPN
ejpam-6229	151	10	tn+1,j	tn+1,j	NOUN
ejpam-6229	151	11	0	0	PUNCT
ejpam-6229	151	12	(	(	PUNCT
ejpam-6229	151	13	k(tn+1,j	k(tn+1,j	NOUN
ejpam-6229	151	14	,	,	PUNCT
ejpam-6229	151	15	s	s	X
ejpam-6229	151	16	,	,	PUNCT
ejpam-6229	151	17	xn+1,j	xn+1,j	NOUN
ejpam-6229	151	18	,	,	PUNCT
ejpam-6229	151	19	x(s))−k(tn+1,j	x(s))−k(tn+1,j	PROPN
ejpam-6229	151	20	,	,	PUNCT
ejpam-6229	151	21	s	s	PROPN
ejpam-6229	151	22	,	,	PUNCT
ejpam-6229	151	23	yn+1,j	yn+1,j	NOUN
ejpam-6229	151	24	,	,	PUNCT
ejpam-6229	151	25	x(s	x(s	PROPN
ejpam-6229	151	26	)	)	PUNCT
ejpam-6229	151	27	)	)	PUNCT
ejpam-6229	151	28	)	)	PUNCT
ejpam-6229	152	1	ds	ds	PROPN
ejpam-6229	152	2	+	+	NOUN
ejpam-6229	152	3	h	h	NOUN
ejpam-6229	152	4	n∑	n∑	X
ejpam-6229	152	5	l=0	l=0	PROPN
ejpam-6229	152	6	∫	∫	PROPN
ejpam-6229	153	1	1	1	NUM
ejpam-6229	153	2	0	0	NUM
ejpam-6229	153	3	(	(	PUNCT
ejpam-6229	153	4	k(tn+1,j	k(tn+1,j	NOUN
ejpam-6229	153	5	,	,	PUNCT
ejpam-6229	153	6	tl	tl	PROPN
ejpam-6229	153	7	+	+	PROPN
ejpam-6229	153	8	sh	sh	PROPN
ejpam-6229	153	9	,	,	PUNCT
ejpam-6229	153	10	yn+1,j	yn+1,j	NOUN
ejpam-6229	153	11	,	,	PUNCT
ejpam-6229	153	12	x(tl	x(tl	PROPN
ejpam-6229	153	13	+	+	NUM
ejpam-6229	153	14	sh	sh	PROPN
ejpam-6229	153	15	)	)	PUNCT
ejpam-6229	153	16	)	)	PUNCT
ejpam-6229	154	1	−k(tn+1,j	−k(tn+1,j	PUNCT
ejpam-6229	154	2	,	,	PUNCT
ejpam-6229	154	3	tl	tl	PROPN
ejpam-6229	154	4	+	+	PROPN
ejpam-6229	154	5	sh	sh	PROPN
ejpam-6229	154	6	,	,	PUNCT
ejpam-6229	154	7	yn+1,j	yn+1,j	NOUN
ejpam-6229	154	8	,	,	PUNCT
ejpam-6229	154	9	y(tl	y(tl	PROPN
ejpam-6229	154	10	+	+	PROPN
ejpam-6229	154	11	sh	sh	PROPN
ejpam-6229	154	12	)	)	PUNCT
ejpam-6229	154	13	)	)	PUNCT
ejpam-6229	154	14	)	)	PUNCT
ejpam-6229	155	1	ds	ds	PROPN
ejpam-6229	155	2	+	+	ADP
ejpam-6229	155	3	h	h	NOUN
ejpam-6229	155	4	∫	∫	PROPN
ejpam-6229	155	5	cj	cj	PROPN
ejpam-6229	155	6	0	0	NUM
ejpam-6229	156	1	(	(	PUNCT
ejpam-6229	156	2	k(tn+1,j	k(tn+1,j	NOUN
ejpam-6229	156	3	,	,	PUNCT
ejpam-6229	156	4	tn+1	tn+1	VERB
ejpam-6229	156	5	+	+	CCONJ
ejpam-6229	157	1	sh	sh	PROPN
ejpam-6229	158	1	,	,	PUNCT
ejpam-6229	158	2	yn+1,j	yn+1,j	NOUN
ejpam-6229	158	3	,	,	PUNCT
ejpam-6229	158	4	x(tn+1	x(tn+1	PROPN
ejpam-6229	159	1	+	+	CCONJ
ejpam-6229	159	2	sh	sh	PROPN
ejpam-6229	159	3	)	)	PUNCT
ejpam-6229	159	4	)	)	PUNCT
ejpam-6229	160	1	−k(tn+1,j	−k(tn+1,j	VERB
ejpam-6229	160	2	,	,	PUNCT
ejpam-6229	160	3	tn+1	tn+1	PROPN
ejpam-6229	160	4	+	+	CCONJ
ejpam-6229	160	5	sh	sh	PROPN
ejpam-6229	160	6	,	,	PUNCT
ejpam-6229	160	7	yn+1,j	yn+1,j	NOUN
ejpam-6229	160	8	,	,	PUNCT
ejpam-6229	160	9	y(tn+1	y(tn+1	PROPN
ejpam-6229	160	10	+	+	PROPN
ejpam-6229	160	11	sh	sh	PROPN
ejpam-6229	160	12	)	)	PUNCT
ejpam-6229	160	13	)	)	PUNCT
ejpam-6229	160	14	)	)	PUNCT
ejpam-6229	161	1	ds	ds	PROPN
ejpam-6229	161	2	.	.	PUNCT
ejpam-6229	161	3	(	(	PUNCT
ejpam-6229	161	4	13	13	NUM
ejpam-6229	161	5	)	)	PUNCT
ejpam-6229	161	6	now	now	ADV
ejpam-6229	161	7	,	,	PUNCT
ejpam-6229	161	8	assume	assume	VERB
ejpam-6229	161	9	that	that	SCONJ
ejpam-6229	161	10	k̂l(tη	k̂l(tη	PROPN
ejpam-6229	161	11	,	,	PUNCT
ejpam-6229	161	12	j	j	PROPN
ejpam-6229	161	13	,	,	PUNCT
ejpam-6229	161	14	s	s	PROPN
ejpam-6229	161	15	)	)	PUNCT
ejpam-6229	161	16	:	:	PUNCT
ejpam-6229	162	1	=	=	SYM
ejpam-6229	162	2	∫	∫	PROPN
ejpam-6229	163	1	1	1	NUM
ejpam-6229	163	2	0	0	X
ejpam-6229	164	1	∂k	∂k	PROPN
ejpam-6229	164	2	∂v	∂v	PROPN
ejpam-6229	164	3	(	(	PUNCT
ejpam-6229	164	4	tη	tη	PROPN
ejpam-6229	164	5	,	,	PUNCT
ejpam-6229	164	6	j	j	PROPN
ejpam-6229	164	7	,	,	PUNCT
ejpam-6229	164	8	tl	tl	PROPN
ejpam-6229	164	9	+	+	PROPN
ejpam-6229	164	10	sh	sh	PROPN
ejpam-6229	164	11	,	,	PUNCT
ejpam-6229	164	12	uη	uη	PROPN
ejpam-6229	164	13	,	,	PUNCT
ejpam-6229	164	14	j	j	PROPN
ejpam-6229	164	15	,	,	PUNCT
ejpam-6229	164	16	u(tl	u(tl	PROPN
ejpam-6229	164	17	+	+	NUM
ejpam-6229	164	18	sh	sh	PROPN
ejpam-6229	164	19	)	)	PUNCT
ejpam-6229	164	20	+	+	NUM
ejpam-6229	164	21	ζ(y(tl	ζ(y(tl	X
ejpam-6229	164	22	+	+	CCONJ
ejpam-6229	164	23	sh)−	sh)−	NOUN
ejpam-6229	164	24	u(tl	u(tl	PROPN
ejpam-6229	164	25	+	+	NUM
ejpam-6229	164	26	sh)))dζ	sh)))dζ	PROPN
ejpam-6229	164	27	,	,	PUNCT
ejpam-6229	164	28	(	(	PUNCT
ejpam-6229	164	29	14	14	NUM
ejpam-6229	164	30	)	)	PUNCT
ejpam-6229	164	31	where	where	SCONJ
ejpam-6229	164	32	for	for	ADP
ejpam-6229	164	33	l	l	NOUN
ejpam-6229	164	34	=	=	SYM
ejpam-6229	164	35	0	0	NUM
ejpam-6229	164	36	,	,	PUNCT
ejpam-6229	164	37	1	1	NUM
ejpam-6229	164	38	,	,	PUNCT
ejpam-6229	164	39	...	...	PUNCT
ejpam-6229	164	40	,	,	PUNCT
ejpam-6229	164	41	n	n	CCONJ
ejpam-6229	164	42	−	−	PROPN
ejpam-6229	164	43	1	1	NUM
ejpam-6229	164	44	the	the	DET
ejpam-6229	164	45	function	function	NOUN
ejpam-6229	164	46	k̂l(tη	k̂l(tη	PROPN
ejpam-6229	164	47	,	,	PUNCT
ejpam-6229	164	48	j	j	PROPN
ejpam-6229	164	49	,	,	PUNCT
ejpam-6229	164	50	s	s	X
ejpam-6229	164	51	)	)	PUNCT
ejpam-6229	164	52	∈	∈	PROPN
ejpam-6229	164	53	c[0	c[0	PROPN
ejpam-6229	164	54	,	,	PUNCT
ejpam-6229	164	55	1	1	NUM
ejpam-6229	164	56	]	]	PUNCT
ejpam-6229	164	57	.	.	PUNCT
ejpam-6229	165	1	likewise	likewise	ADV
ejpam-6229	165	2	,	,	PUNCT
ejpam-6229	165	3	for	for	ADP
ejpam-6229	165	4	l	l	NOUN
ejpam-6229	165	5	=	=	SYM
ejpam-6229	165	6	n	n	CCONJ
ejpam-6229	165	7	,	,	PUNCT
ejpam-6229	165	8	k̂n(tη	k̂n(tη	PROPN
ejpam-6229	165	9	,	,	PUNCT
ejpam-6229	165	10	j	j	PROPN
ejpam-6229	165	11	,	,	PUNCT
ejpam-6229	165	12	s	s	X
ejpam-6229	165	13	)	)	PUNCT
ejpam-6229	165	14	∈	∈	PROPN
ejpam-6229	165	15	c[0	c[0	PROPN
ejpam-6229	165	16	,	,	PUNCT
ejpam-6229	165	17	cj	cj	VERB
ejpam-6229	165	18	]	]	PUNCT
ejpam-6229	165	19	.	.	PUNCT
ejpam-6229	166	1	also	also	ADV
ejpam-6229	166	2	,	,	PUNCT
ejpam-6229	166	3	k̂(tη	k̂(tη	PROPN
ejpam-6229	166	4	,	,	PUNCT
ejpam-6229	166	5	j	j	PROPN
ejpam-6229	166	6	,	,	PUNCT
ejpam-6229	166	7	s	s	PROPN
ejpam-6229	166	8	)	)	PUNCT
ejpam-6229	166	9	:	:	PUNCT
ejpam-6229	167	1	=	=	SYM
ejpam-6229	167	2	∫	∫	PROPN
ejpam-6229	168	1	1	1	NUM
ejpam-6229	168	2	0	0	X
ejpam-6229	169	1	∂k	∂k	NUM
ejpam-6229	169	2	∂u	∂u	PROPN
ejpam-6229	169	3	(	(	PUNCT
ejpam-6229	169	4	tη	tη	PROPN
ejpam-6229	169	5	,	,	PUNCT
ejpam-6229	169	6	j	j	PROPN
ejpam-6229	169	7	,	,	PUNCT
ejpam-6229	169	8	s	s	PROPN
ejpam-6229	169	9	,	,	PUNCT
ejpam-6229	169	10	uη	uη	PROPN
ejpam-6229	169	11	,	,	PUNCT
ejpam-6229	169	12	j	j	PROPN
ejpam-6229	169	13	+	+	PROPN
ejpam-6229	169	14	ζ(yη	ζ(yη	PROPN
ejpam-6229	169	15	,	,	PUNCT
ejpam-6229	169	16	j	j	PROPN
ejpam-6229	169	17	−	−	PROPN
ejpam-6229	169	18	uη	uη	PROPN
ejpam-6229	169	19	,	,	PUNCT
ejpam-6229	169	20	j	j	PROPN
ejpam-6229	169	21	)	)	PUNCT
ejpam-6229	169	22	,	,	PUNCT
ejpam-6229	169	23	y(s))dζ	y(s))dζ	PROPN
ejpam-6229	169	24	,	,	PUNCT
ejpam-6229	169	25	(	(	PUNCT
ejpam-6229	169	26	15	15	NUM
ejpam-6229	169	27	)	)	PUNCT
ejpam-6229	169	28	then	then	ADV
ejpam-6229	169	29	k̂(tη	k̂(tη	PROPN
ejpam-6229	169	30	,	,	PUNCT
ejpam-6229	169	31	j	j	PROPN
ejpam-6229	169	32	,	,	PUNCT
ejpam-6229	169	33	s	s	X
ejpam-6229	169	34	)	)	PUNCT
ejpam-6229	169	35	∈	∈	PROPN
ejpam-6229	169	36	c[0	c[0	PROPN
ejpam-6229	169	37	,	,	PUNCT
ejpam-6229	169	38	tη	tη	PROPN
ejpam-6229	169	39	,	,	PUNCT
ejpam-6229	169	40	j	j	PROPN
ejpam-6229	169	41	]	]	PUNCT
ejpam-6229	169	42	.	.	PUNCT
ejpam-6229	170	1	using	use	VERB
ejpam-6229	170	2	a1	a1	NOUN
ejpam-6229	170	3	,	,	PUNCT
ejpam-6229	170	4	possess	possess	VERB
ejpam-6229	170	5	|k̂l(tη	|k̂l(tη	NUM
ejpam-6229	170	6	,	,	PUNCT
ejpam-6229	170	7	j	j	PROPN
ejpam-6229	170	8	,	,	PUNCT
ejpam-6229	170	9	s)|	s)|	NOUN
ejpam-6229	170	10	≤	≤	PUNCT
ejpam-6229	170	11	m	m	PROPN
ejpam-6229	170	12	,	,	PUNCT
ejpam-6229	170	13	and	and	CCONJ
ejpam-6229	170	14	|k̂(tη	|k̂(tη	VERB
ejpam-6229	170	15	,	,	PUNCT
ejpam-6229	170	16	j	j	PROPN
ejpam-6229	170	17	,	,	PUNCT
ejpam-6229	170	18	s)|	s)|	PROPN
ejpam-6229	170	19	≤	≤	PUNCT
ejpam-6229	170	20	h(tη	h(tη	PROPN
ejpam-6229	170	21	,	,	PUNCT
ejpam-6229	170	22	j	j	PROPN
ejpam-6229	170	23	,	,	PUNCT
ejpam-6229	170	24	s	s	PROPN
ejpam-6229	170	25	)	)	PUNCT
ejpam-6229	170	26	.	.	PUNCT
ejpam-6229	171	1	for	for	ADP
ejpam-6229	171	2	further	further	ADJ
ejpam-6229	171	3	detail	detail	NOUN
ejpam-6229	171	4	see	see	VERB
ejpam-6229	171	5	[	[	X
ejpam-6229	171	6	13	13	NUM
ejpam-6229	171	7	]	]	PUNCT
ejpam-6229	171	8	.	.	PUNCT
ejpam-6229	172	1	by	by	ADP
ejpam-6229	172	2	using	use	VERB
ejpam-6229	172	3	of	of	ADP
ejpam-6229	172	4	this	this	DET
ejpam-6229	172	5	assumptions	assumption	NOUN
ejpam-6229	172	6	,	,	PUNCT
ejpam-6229	172	7	for	for	ADP
ejpam-6229	172	8	η	η	PROPN
ejpam-6229	172	9	=	=	PROPN
ejpam-6229	172	10	n+	n+	PUNCT
ejpam-6229	172	11	1	1	NUM
ejpam-6229	172	12	,	,	PUNCT
ejpam-6229	172	13	equation	equation	NOUN
ejpam-6229	172	14	(	(	PUNCT
ejpam-6229	172	15	13	13	NUM
ejpam-6229	172	16	)	)	PUNCT
ejpam-6229	172	17	can	can	AUX
ejpam-6229	172	18	be	be	AUX
ejpam-6229	172	19	written	write	VERB
ejpam-6229	172	20	h.	h.	PROPN
ejpam-6229	172	21	a.	a.	NOUN
ejpam-6229	172	22	thabbah	thabbah	PROPN
ejpam-6229	172	23	,	,	PUNCT
ejpam-6229	172	24	s.	s.	PROPN
ejpam-6229	172	25	pishbin	pishbin	PROPN
ejpam-6229	172	26	,	,	PUNCT
ejpam-6229	172	27	p.	p.	NOUN
ejpam-6229	172	28	darania	darania	PROPN
ejpam-6229	172	29	/	/	SYM
ejpam-6229	172	30	eur	eur	PROPN
ejpam-6229	172	31	.	.	PUNCT
ejpam-6229	173	1	j.	j.	PROPN
ejpam-6229	173	2	pure	pure	PROPN
ejpam-6229	173	3	appl	appl	PROPN
ejpam-6229	173	4	.	.	PROPN
ejpam-6229	173	5	math	math	PROPN
ejpam-6229	173	6	,	,	PUNCT
ejpam-6229	173	7	18	18	NUM
ejpam-6229	173	8	(	(	PUNCT
ejpam-6229	173	9	3	3	NUM
ejpam-6229	173	10	)	)	PUNCT
ejpam-6229	173	11	(	(	PUNCT
ejpam-6229	173	12	2025	2025	NUM
ejpam-6229	173	13	)	)	PUNCT
ejpam-6229	173	14	,	,	PUNCT
ejpam-6229	173	15	6229	6229	NUM
ejpam-6229	173	16	8	8	NUM
ejpam-6229	173	17	of	of	ADP
ejpam-6229	173	18	16	16	NUM
ejpam-6229	173	19	εn+1,j	εn+1,j	NOUN
ejpam-6229	173	20	=	=	SYM
ejpam-6229	173	21	∫	∫	PROPN
ejpam-6229	173	22	tn+1,j	tn+1,j	NOUN
ejpam-6229	173	23	0	0	NUM
ejpam-6229	173	24	k̂(tn+1,j	k̂(tn+1,j	NOUN
ejpam-6229	173	25	,	,	PUNCT
ejpam-6229	173	26	s)dsεn+1,j	s)dsεn+1,j	ADJ
ejpam-6229	173	27	+	+	PROPN
ejpam-6229	173	28	h	h	NOUN
ejpam-6229	173	29	n∑	n∑	NOUN
ejpam-6229	173	30	z=0	z=0	NUM
ejpam-6229	173	31	∫	∫	NOUN
ejpam-6229	174	1	1	1	NUM
ejpam-6229	174	2	0	0	NUM
ejpam-6229	174	3	(	(	PUNCT
ejpam-6229	174	4	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	174	5	,	,	PUNCT
ejpam-6229	174	6	s)(x(tz	s)(x(tz	X
ejpam-6229	174	7	+	+	NUM
ejpam-6229	174	8	sh)−	sh)−	PROPN
ejpam-6229	174	9	y(tz	y(tz	X
ejpam-6229	174	10	+	+	PROPN
ejpam-6229	174	11	sh	sh	PROPN
ejpam-6229	174	12	)	)	PUNCT
ejpam-6229	174	13	)	)	PUNCT
ejpam-6229	174	14	)	)	PUNCT
ejpam-6229	175	1	ds	ds	PROPN
ejpam-6229	175	2	+	+	ADP
ejpam-6229	175	3	h	h	NOUN
ejpam-6229	175	4	∫	∫	PROPN
ejpam-6229	175	5	cj	cj	PROPN
ejpam-6229	175	6	0	0	NUM
ejpam-6229	176	1	(	(	PUNCT
ejpam-6229	176	2	k̂n+1(tn+1,j	k̂n+1(tn+1,j	NOUN
ejpam-6229	176	3	,	,	PUNCT
ejpam-6229	176	4	s)(x(tn+1	s)(x(tn+1	PROPN
ejpam-6229	176	5	+	+	CCONJ
ejpam-6229	176	6	sh)−	sh)−	PROPN
ejpam-6229	176	7	y(tn+1	y(tn+1	PROPN
ejpam-6229	176	8	+	+	NUM
ejpam-6229	176	9	sh	sh	PROPN
ejpam-6229	176	10	)	)	PUNCT
ejpam-6229	176	11	)	)	PUNCT
ejpam-6229	176	12	)	)	PUNCT
ejpam-6229	177	1	ds	ds	NOUN
ejpam-6229	177	2	=	=	SYM
ejpam-6229	177	3	∫	∫	NOUN
ejpam-6229	177	4	tn+1,j	tn+1,j	NOUN
ejpam-6229	177	5	0	0	NUM
ejpam-6229	177	6	k̂(tn+1,j	k̂(tn+1,j	NOUN
ejpam-6229	177	7	,	,	PUNCT
ejpam-6229	177	8	s)dsεn+1,j	s)dsεn+1,j	NOUN
ejpam-6229	177	9	+	+	CCONJ
ejpam-6229	177	10	h	h	NOUN
ejpam-6229	177	11	n∑	n∑	NOUN
ejpam-6229	178	1	z=0	z=0	NUM
ejpam-6229	178	2	∫	∫	NOUN
ejpam-6229	178	3	1	1	NUM
ejpam-6229	178	4	0	0	NUM
ejpam-6229	178	5	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	178	6	,	,	PUNCT
ejpam-6229	178	7	s)e(tz	s)e(tz	X
ejpam-6229	179	1	+	+	CCONJ
ejpam-6229	179	2	sh)ds	sh)d	VERB
ejpam-6229	179	3	+	+	ADJ
ejpam-6229	179	4	h	h	NOUN
ejpam-6229	179	5	∫	∫	PROPN
ejpam-6229	179	6	cj	cj	PROPN
ejpam-6229	179	7	0	0	NUM
ejpam-6229	180	1	(	(	PUNCT
ejpam-6229	180	2	k̂n+1(tn+1,j	k̂n+1(tn+1,j	NOUN
ejpam-6229	180	3	,	,	PUNCT
ejpam-6229	180	4	s)e(tn+1	s)e(tn+1	PROPN
ejpam-6229	180	5	+	+	CCONJ
ejpam-6229	180	6	sh	sh	PROPN
ejpam-6229	180	7	)	)	PUNCT
ejpam-6229	180	8	)	)	PUNCT
ejpam-6229	181	1	ds	ds	PROPN
ejpam-6229	181	2	.	.	PUNCT
ejpam-6229	181	3	(	(	PUNCT
ejpam-6229	181	4	16	16	NUM
ejpam-6229	181	5	)	)	PUNCT
ejpam-6229	181	6	from	from	ADP
ejpam-6229	181	7	a2	a2	PROPN
ejpam-6229	181	8	,	,	PUNCT
ejpam-6229	181	9	for	for	ADP
ejpam-6229	181	10	z	z	NOUN
ejpam-6229	181	11	=	=	SYM
ejpam-6229	181	12	0	0	NUM
ejpam-6229	181	13	,	,	PUNCT
ejpam-6229	181	14	.	.	PUNCT
ejpam-6229	181	15	.	.	PUNCT
ejpam-6229	181	16	.	.	PUNCT
ejpam-6229	182	1	,	,	PUNCT
ejpam-6229	182	2	r	r	NOUN
ejpam-6229	182	3	−	−	PROPN
ejpam-6229	182	4	1	1	NUM
ejpam-6229	182	5	,	,	PUNCT
ejpam-6229	182	6	and	and	CCONJ
ejpam-6229	182	7	s	s	X
ejpam-6229	182	8	∈	∈	PROPN
ejpam-6229	183	1	[	[	X
ejpam-6229	183	2	0	0	NUM
ejpam-6229	183	3	,	,	PUNCT
ejpam-6229	183	4	1	1	NUM
ejpam-6229	183	5	)	)	PUNCT
ejpam-6229	183	6	,	,	PUNCT
ejpam-6229	183	7	we	we	PRON
ejpam-6229	183	8	have	have	VERB
ejpam-6229	183	9	e(tz	e(tz	NOUN
ejpam-6229	183	10	+	+	CCONJ
ejpam-6229	183	11	sh	sh	NOUN
ejpam-6229	183	12	)	)	PUNCT
ejpam-6229	183	13	=	=	SYM
ejpam-6229	183	14	hpqz(s	hpqz(s	PROPN
ejpam-6229	183	15	)	)	PUNCT
ejpam-6229	183	16	,	,	PUNCT
ejpam-6229	183	17	||qz||∞	||qz||∞	VERB
ejpam-6229	183	18	≤	≤	NUM
ejpam-6229	183	19	c1	c1	NOUN
ejpam-6229	183	20	,	,	PUNCT
ejpam-6229	183	21	(	(	PUNCT
ejpam-6229	183	22	17	17	NUM
ejpam-6229	183	23	)	)	PUNCT
ejpam-6229	183	24	and	and	CCONJ
ejpam-6229	183	25	then	then	ADV
ejpam-6229	183	26	using	use	VERB
ejpam-6229	183	27	the	the	DET
ejpam-6229	183	28	(	(	PUNCT
ejpam-6229	183	29	17	17	NUM
ejpam-6229	183	30	)	)	PUNCT
ejpam-6229	183	31	,	,	PUNCT
ejpam-6229	183	32	equation	equation	NOUN
ejpam-6229	183	33	(	(	PUNCT
ejpam-6229	183	34	16	16	NUM
ejpam-6229	183	35	)	)	PUNCT
ejpam-6229	183	36	reduced	reduce	VERB
ejpam-6229	183	37	to	to	ADP
ejpam-6229	183	38	the	the	DET
ejpam-6229	183	39	following	follow	VERB
ejpam-6229	183	40	form	form	NOUN
ejpam-6229	183	41	h.	h.	PROPN
ejpam-6229	183	42	a.	a.	NOUN
ejpam-6229	183	43	thabbah	thabbah	PROPN
ejpam-6229	183	44	,	,	PUNCT
ejpam-6229	183	45	s.	s.	PROPN
ejpam-6229	183	46	pishbin	pishbin	PROPN
ejpam-6229	183	47	,	,	PUNCT
ejpam-6229	183	48	p.	p.	NOUN
ejpam-6229	183	49	darania	darania	PROPN
ejpam-6229	183	50	/	/	SYM
ejpam-6229	183	51	eur	eur	PROPN
ejpam-6229	183	52	.	.	PUNCT
ejpam-6229	184	1	j.	j.	PROPN
ejpam-6229	184	2	pure	pure	PROPN
ejpam-6229	184	3	appl	appl	PROPN
ejpam-6229	184	4	.	.	PROPN
ejpam-6229	184	5	math	math	PROPN
ejpam-6229	184	6	,	,	PUNCT
ejpam-6229	184	7	18	18	NUM
ejpam-6229	184	8	(	(	PUNCT
ejpam-6229	184	9	3	3	NUM
ejpam-6229	184	10	)	)	PUNCT
ejpam-6229	184	11	(	(	PUNCT
ejpam-6229	184	12	2025	2025	NUM
ejpam-6229	184	13	)	)	PUNCT
ejpam-6229	184	14	,	,	PUNCT
ejpam-6229	184	15	6229	6229	NUM
ejpam-6229	184	16	9	9	NUM
ejpam-6229	184	17	of	of	ADP
ejpam-6229	184	18	16	16	NUM
ejpam-6229	184	19	εn+1,j	εn+1,j	NOUN
ejpam-6229	184	20	−	−	ADP
ejpam-6229	184	21	∫	∫	PROPN
ejpam-6229	184	22	tn+1,j	tn+1,j	NOUN
ejpam-6229	184	23	0	0	NUM
ejpam-6229	185	1	k̂(tn+1,j	k̂(tn+1,j	NOUN
ejpam-6229	185	2	,	,	PUNCT
ejpam-6229	185	3	s)dsεn+1,j	s)dsεn+1,j	NOUN
ejpam-6229	185	4	−h	−h	ADJ
ejpam-6229	185	5	m∑	m∑	ADP
ejpam-6229	185	6	i=1	i=1	PROPN
ejpam-6229	185	7	∫	∫	PROPN
ejpam-6229	186	1	cj	cj	PROPN
ejpam-6229	186	2	0	0	NUM
ejpam-6229	187	1	k̂n+1(tn+1,j	k̂n+1(tn+1,j	NOUN
ejpam-6229	187	2	,	,	PUNCT
ejpam-6229	187	3	s)l̃i(s+	s)l̃i(s+	PROPN
ejpam-6229	187	4	1)dsεn+1,j	1)dsεn+1,j	NUM
ejpam-6229	187	5	−h	−h	ADJ
ejpam-6229	187	6	m∑	m∑	ADP
ejpam-6229	187	7	i=1	i=1	PROPN
ejpam-6229	187	8	∫	∫	PROPN
ejpam-6229	187	9	1	1	NUM
ejpam-6229	187	10	0	0	NUM
ejpam-6229	187	11	k̂n(tn+1,j	k̂n(tn+1,j	NOUN
ejpam-6229	187	12	,	,	PUNCT
ejpam-6229	187	13	s)l̃i(s)dsεn+1,j	s)l̃i(s)dsεn+1,j	NOUN
ejpam-6229	187	14	−h	−h	VERB
ejpam-6229	187	15	m∑	m∑	ADP
ejpam-6229	187	16	i=1	i=1	PROPN
ejpam-6229	187	17	∫	∫	PROPN
ejpam-6229	188	1	cj	cj	PROPN
ejpam-6229	188	2	0	0	NUM
ejpam-6229	189	1	k̂n+1(tn+1,j	k̂n+1(tn+1,j	NOUN
ejpam-6229	189	2	,	,	PUNCT
ejpam-6229	189	3	s)l̂i(s+	s)l̂i(s+	VERB
ejpam-6229	189	4	1)dsεn	1)dsεn	NUM
ejpam-6229	189	5	,	,	PUNCT
ejpam-6229	189	6	j	j	PROPN
ejpam-6229	189	7	−h	−h	VERB
ejpam-6229	189	8	m∑	m∑	VERB
ejpam-6229	189	9	i=1	i=1	PROPN
ejpam-6229	189	10	∫	∫	PROPN
ejpam-6229	189	11	1	1	NUM
ejpam-6229	189	12	0	0	NUM
ejpam-6229	189	13	k̂n−1(tn+1,j	k̂n−1(tn+1,j	NOUN
ejpam-6229	189	14	,	,	PUNCT
ejpam-6229	189	15	s)l̃i(s)dsεn	s)l̃i(s)dsεn	PROPN
ejpam-6229	189	16	,	,	PUNCT
ejpam-6229	189	17	j	j	PROPN
ejpam-6229	189	18	−h	−h	VERB
ejpam-6229	189	19	m∑	m∑	VERB
ejpam-6229	189	20	i=1	i=1	PROPN
ejpam-6229	189	21	∫	∫	PROPN
ejpam-6229	189	22	1	1	NUM
ejpam-6229	189	23	0	0	NUM
ejpam-6229	189	24	k̂n(tn+1,j	k̂n(tn+1,j	NOUN
ejpam-6229	189	25	,	,	PUNCT
ejpam-6229	189	26	s)l̂i(s)dsεn	s)l̂i(s)dsεn	PROPN
ejpam-6229	189	27	,	,	PUNCT
ejpam-6229	190	1	j	j	NOUN
ejpam-6229	190	2	=	=	SYM
ejpam-6229	190	3	hp+1	hp+1	PROPN
ejpam-6229	191	1	r−1∑	r−1∑	PROPN
ejpam-6229	191	2	z=0	z=0	PROPN
ejpam-6229	191	3	∫	∫	PROPN
ejpam-6229	191	4	1	1	NUM
ejpam-6229	191	5	0	0	NUM
ejpam-6229	191	6	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	191	7	,	,	PUNCT
ejpam-6229	191	8	s)qz(s)ds	s)qz(s)ds	ADP
ejpam-6229	191	9	+	+	PROPN
ejpam-6229	191	10	hp+1	hp+1	NOUN
ejpam-6229	191	11	n∑	n∑	NOUN
ejpam-6229	191	12	z	z	X
ejpam-6229	191	13	=	=	X
ejpam-6229	191	14	r	r	NOUN
ejpam-6229	191	15	∫	∫	NOUN
ejpam-6229	191	16	1	1	NUM
ejpam-6229	191	17	0	0	NUM
ejpam-6229	191	18	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	191	19	,	,	PUNCT
ejpam-6229	191	20	s)rm	s)rm	PROPN
ejpam-6229	191	21	,	,	PUNCT
ejpam-6229	191	22	r	r	NOUN
ejpam-6229	191	23	,	,	PUNCT
ejpam-6229	191	24	z(s)ds	z(s)ds	NOUN
ejpam-6229	192	1	+	+	NOUN
ejpam-6229	192	2	hp+1	hp+1	NOUN
ejpam-6229	192	3	∫	∫	PROPN
ejpam-6229	192	4	cj	cj	PROPN
ejpam-6229	192	5	0	0	NUM
ejpam-6229	192	6	k̂n(tn+1,j	k̂n(tn+1,j	NOUN
ejpam-6229	192	7	,	,	PUNCT
ejpam-6229	192	8	s)rm	s)rm	PROPN
ejpam-6229	192	9	,	,	PUNCT
ejpam-6229	192	10	r	r	NOUN
ejpam-6229	192	11	,	,	PUNCT
ejpam-6229	192	12	n(1	n(1	NOUN
ejpam-6229	192	13	+	+	CCONJ
ejpam-6229	192	14	s)ds	s)ds	PROPN
ejpam-6229	192	15	+	+	PROPN
ejpam-6229	192	16	h	h	NOUN
ejpam-6229	192	17	n∑	n∑	NOUN
ejpam-6229	192	18	z	z	PROPN
ejpam-6229	193	1	=	=	NOUN
ejpam-6229	193	2	r	r	VERB
ejpam-6229	193	3	r−1∑	r−1∑	VERB
ejpam-6229	193	4	k=0	k=0	PROPN
ejpam-6229	193	5	∫	∫	PROPN
ejpam-6229	193	6	1	1	NUM
ejpam-6229	193	7	0	0	NUM
ejpam-6229	193	8	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	193	9	,	,	PUNCT
ejpam-6229	193	10	s)lk(s)dsεz−k	s)lk(s)dsεz−k	PUNCT
ejpam-6229	193	11	+	+	NOUN
ejpam-6229	193	12	h	h	NOUN
ejpam-6229	193	13	n−1∑	n−1∑	PROPN
ejpam-6229	193	14	z	z	NOUN
ejpam-6229	194	1	=	=	NOUN
ejpam-6229	194	2	r	r	NOUN
ejpam-6229	194	3	m∑	m∑	NOUN
ejpam-6229	194	4	i=1	i=1	PROPN
ejpam-6229	194	5	∫	∫	PROPN
ejpam-6229	194	6	1	1	NUM
ejpam-6229	194	7	0	0	NUM
ejpam-6229	194	8	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	194	9	,	,	PUNCT
ejpam-6229	194	10	s)l̂i(s)dsεz	s)l̂i(s)dsεz	PROPN
ejpam-6229	194	11	,	,	PUNCT
ejpam-6229	194	12	j	j	PROPN
ejpam-6229	195	1	+	+	PROPN
ejpam-6229	195	2	h	h	NOUN
ejpam-6229	195	3	n−2∑	n−2∑	PROPN
ejpam-6229	195	4	z	z	PROPN
ejpam-6229	196	1	=	=	NOUN
ejpam-6229	196	2	r	r	NOUN
ejpam-6229	196	3	m∑	m∑	NOUN
ejpam-6229	196	4	i=1	i=1	PROPN
ejpam-6229	196	5	∫	∫	PROPN
ejpam-6229	196	6	1	1	NUM
ejpam-6229	196	7	0	0	NUM
ejpam-6229	196	8	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	196	9	,	,	PUNCT
ejpam-6229	196	10	s)l̃i(s)dsεz+1,j	s)l̃i(s)dsεz+1,j	ADJ
ejpam-6229	196	11	+	+	NOUN
ejpam-6229	196	12	h	h	NOUN
ejpam-6229	196	13	r−1∑	r−1∑	ADJ
ejpam-6229	196	14	k=0	k=0	PROPN
ejpam-6229	196	15	∫	∫	PROPN
ejpam-6229	197	1	cj	cj	PROPN
ejpam-6229	197	2	0	0	NUM
ejpam-6229	198	1	k̂n+1(tn+1,j	k̂n+1(tn+1,j	NOUN
ejpam-6229	198	2	,	,	PUNCT
ejpam-6229	198	3	s)lk(s+	s)lk(s+	NOUN
ejpam-6229	198	4	1)dsεn−k	1)dsεn−k	NOUN
ejpam-6229	198	5	.	.	PUNCT
ejpam-6229	199	1	(	(	PUNCT
ejpam-6229	199	2	18	18	NUM
ejpam-6229	199	3	)	)	PUNCT
ejpam-6229	199	4	h.	h.	PROPN
ejpam-6229	199	5	a.	a.	NOUN
ejpam-6229	199	6	thabbah	thabbah	PROPN
ejpam-6229	199	7	,	,	PUNCT
ejpam-6229	199	8	s.	s.	PROPN
ejpam-6229	199	9	pishbin	pishbin	PROPN
ejpam-6229	199	10	,	,	PUNCT
ejpam-6229	199	11	p.	p.	NOUN
ejpam-6229	199	12	darania	darania	PROPN
ejpam-6229	199	13	/	/	SYM
ejpam-6229	199	14	eur	eur	PROPN
ejpam-6229	199	15	.	.	PUNCT
ejpam-6229	200	1	j.	j.	PROPN
ejpam-6229	200	2	pure	pure	PROPN
ejpam-6229	200	3	appl	appl	PROPN
ejpam-6229	200	4	.	.	PROPN
ejpam-6229	200	5	math	math	PROPN
ejpam-6229	200	6	,	,	PUNCT
ejpam-6229	200	7	18	18	NUM
ejpam-6229	200	8	(	(	PUNCT
ejpam-6229	200	9	3	3	NUM
ejpam-6229	200	10	)	)	PUNCT
ejpam-6229	200	11	(	(	PUNCT
ejpam-6229	200	12	2025	2025	NUM
ejpam-6229	200	13	)	)	PUNCT
ejpam-6229	200	14	,	,	PUNCT
ejpam-6229	200	15	6229	6229	NUM
ejpam-6229	200	16	10	10	NUM
ejpam-6229	200	17	of	of	ADP
ejpam-6229	200	18	16	16	NUM
ejpam-6229	200	19	now	now	ADV
ejpam-6229	200	20	,	,	PUNCT
ejpam-6229	200	21	to	to	PART
ejpam-6229	200	22	get	get	VERB
ejpam-6229	200	23	the	the	DET
ejpam-6229	200	24	matrix	matrix	NOUN
ejpam-6229	200	25	form	form	NOUN
ejpam-6229	200	26	of	of	ADP
ejpam-6229	200	27	equation	equation	NOUN
ejpam-6229	200	28	(	(	PUNCT
ejpam-6229	200	29	18	18	NUM
ejpam-6229	200	30	)	)	PUNCT
ejpam-6229	200	31	,	,	PUNCT
ejpam-6229	200	32	we	we	PRON
ejpam-6229	200	33	define	define	VERB
ejpam-6229	200	34	the	the	DET
ejpam-6229	200	35	following	follow	VERB
ejpam-6229	200	36	vectors	vector	NOUN
ejpam-6229	200	37	ājn+1	ājn+1	PROPN
ejpam-6229	201	1	=	=	SYM
ejpam-6229	201	2	1−	1−	NUM
ejpam-6229	201	3	∫	∫	NOUN
ejpam-6229	201	4	tn+1,j	tn+1,j	NOUN
ejpam-6229	201	5	0	0	NUM
ejpam-6229	201	6	k̂(tn+1,j	k̂(tn+1,j	NOUN
ejpam-6229	201	7	,	,	PUNCT
ejpam-6229	201	8	s)ds	s)ds	PROPN
ejpam-6229	201	9	,	,	PUNCT
ejpam-6229	201	10	j	j	NOUN
ejpam-6229	201	11	=	=	SYM
ejpam-6229	201	12	1	1	NUM
ejpam-6229	201	13	,	,	PUNCT
ejpam-6229	201	14	2	2	NUM
ejpam-6229	201	15	,	,	PUNCT
ejpam-6229	201	16	...	...	PUNCT
ejpam-6229	201	17	,	,	PUNCT
ejpam-6229	201	18	m	m	PROPN
ejpam-6229	201	19	,	,	PUNCT
ejpam-6229	201	20	e1,z	e1,z	PROPN
ejpam-6229	201	21	=	=	PUNCT
ejpam-6229	202	1	[	[	X
ejpam-6229	202	2	εz−r+1	εz−r+1	PROPN
ejpam-6229	202	3	,	,	PUNCT
ejpam-6229	202	4	εz−r	εz−r	PROPN
ejpam-6229	202	5	,	,	PUNCT
ejpam-6229	202	6	...	...	PUNCT
ejpam-6229	202	7	,	,	PUNCT
ejpam-6229	202	8	εz	εz	AUX
ejpam-6229	202	9	]	]	X
ejpam-6229	202	10	t	t	NOUN
ejpam-6229	202	11	,	,	PUNCT
ejpam-6229	202	12	e2,z	e2,z	PROPN
ejpam-6229	202	13	=	=	PUNCT
ejpam-6229	203	1	[	[	X
ejpam-6229	203	2	εz,1	εz,1	PROPN
ejpam-6229	203	3	,	,	PUNCT
ejpam-6229	203	4	εz,2	εz,2	PROPN
ejpam-6229	203	5	,	,	PUNCT
ejpam-6229	203	6	...	...	PUNCT
ejpam-6229	203	7	,	,	PUNCT
ejpam-6229	203	8	εz	εz	PROPN
ejpam-6229	203	9	,	,	PUNCT
ejpam-6229	203	10	m]t	m]t	PROPN
ejpam-6229	203	11	,	,	PUNCT
ejpam-6229	203	12	(	(	PUNCT
ejpam-6229	203	13	19	19	NUM
ejpam-6229	203	14	)	)	PUNCT
ejpam-6229	203	15	and	and	CCONJ
ejpam-6229	203	16	matrices	matrix	NOUN
ejpam-6229	203	17	ān+1	ān+1	ADV
ejpam-6229	203	18	=	=	SYM
ejpam-6229	203	19	diag(ā1n+1	diag(ā1n+1	PROPN
ejpam-6229	203	20	,	,	PUNCT
ejpam-6229	203	21	...	...	PUNCT
ejpam-6229	203	22	,	,	PUNCT
ejpam-6229	203	23	ā	ā	PROPN
ejpam-6229	203	24	m	m	NOUN
ejpam-6229	203	25	n+1	n+1	NOUN
ejpam-6229	203	26	)	)	PUNCT
ejpam-6229	203	27	,	,	PUNCT
ejpam-6229	203	28	(	(	PUNCT
ejpam-6229	203	29	20	20	NUM
ejpam-6229	203	30	)	)	PUNCT
ejpam-6229	203	31	(	(	PUNCT
ejpam-6229	203	32	b	b	X
ejpam-6229	203	33	(	(	PUNCT
ejpam-6229	203	34	z	z	NOUN
ejpam-6229	203	35	)	)	PUNCT
ejpam-6229	203	36	n+1)j	n+1)j	PROPN
ejpam-6229	203	37	,	,	PUNCT
ejpam-6229	203	38	k	k	X
ejpam-6229	203	39	=	=	PUNCT
ejpam-6229	203	40			PROPN
ejpam-6229	203	41	∫	∫	PROPN
ejpam-6229	203	42	1	1	NUM
ejpam-6229	203	43	0	0	NUM
ejpam-6229	203	44	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	203	45	,	,	PUNCT
ejpam-6229	203	46	s)lk(s)ds	s)lk(s)ds	PROPN
ejpam-6229	203	47	,	,	PUNCT
ejpam-6229	203	48	z	z	NOUN
ejpam-6229	203	49	=	=	SYM
ejpam-6229	203	50	r	r	NOUN
ejpam-6229	203	51	,	,	PUNCT
ejpam-6229	203	52	...	...	PUNCT
ejpam-6229	203	53	,	,	PUNCT
ejpam-6229	203	54	n	n	CCONJ
ejpam-6229	203	55	,	,	PUNCT
ejpam-6229	203	56	∫	∫	PROPN
ejpam-6229	203	57	cj	cj	PROPN
ejpam-6229	203	58	0	0	NUM
ejpam-6229	203	59	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	203	60	,	,	PUNCT
ejpam-6229	203	61	s)lk(1	s)lk(1	NOUN
ejpam-6229	203	62	+	+	PROPN
ejpam-6229	203	63	s)ds	s)ds	PROPN
ejpam-6229	203	64	,	,	PUNCT
ejpam-6229	203	65	z	z	NOUN
ejpam-6229	203	66	=	=	SYM
ejpam-6229	203	67	n+	n+	PUNCT
ejpam-6229	203	68	1	1	NUM
ejpam-6229	203	69	,	,	PUNCT
ejpam-6229	203	70	(	(	PUNCT
ejpam-6229	203	71	21	21	NUM
ejpam-6229	203	72	)	)	PUNCT
ejpam-6229	203	73	(	(	PUNCT
ejpam-6229	203	74	c	c	X
ejpam-6229	203	75	(	(	PUNCT
ejpam-6229	203	76	z	z	NOUN
ejpam-6229	203	77	)	)	PUNCT
ejpam-6229	203	78	n+1)j	n+1)j	PROPN
ejpam-6229	203	79	,	,	PUNCT
ejpam-6229	203	80	i	i	PRON
ejpam-6229	203	81	=	=	PUNCT
ejpam-6229	203	82			NOUN
ejpam-6229	203	83	∫	∫	PROPN
ejpam-6229	203	84	1	1	NUM
ejpam-6229	203	85	0	0	NUM
ejpam-6229	203	86	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	203	87	,	,	PUNCT
ejpam-6229	203	88	s)l̂i(s)ds	s)l̂i(s)ds	VERB
ejpam-6229	203	89	,	,	PUNCT
ejpam-6229	203	90	z	z	NOUN
ejpam-6229	204	1	=	=	SYM
ejpam-6229	204	2	r	r	NOUN
ejpam-6229	204	3	,	,	PUNCT
ejpam-6229	204	4	...	...	PUNCT
ejpam-6229	204	5	,	,	PUNCT
ejpam-6229	204	6	n	n	CCONJ
ejpam-6229	204	7	,	,	PUNCT
ejpam-6229	204	8	∫	∫	PROPN
ejpam-6229	204	9	cj	cj	PROPN
ejpam-6229	204	10	0	0	NUM
ejpam-6229	204	11	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	204	12	,	,	PUNCT
ejpam-6229	204	13	s)l̂i(1	s)l̂i(1	X
ejpam-6229	204	14	+	+	PUNCT
ejpam-6229	205	1	s)ds	s)ds	PROPN
ejpam-6229	205	2	,	,	PUNCT
ejpam-6229	205	3	z	z	NOUN
ejpam-6229	205	4	=	=	SYM
ejpam-6229	205	5	n+	n+	PUNCT
ejpam-6229	205	6	1	1	NUM
ejpam-6229	205	7	,	,	PUNCT
ejpam-6229	205	8	(	(	PUNCT
ejpam-6229	205	9	22	22	NUM
ejpam-6229	205	10	)	)	PUNCT
ejpam-6229	205	11	and	and	CCONJ
ejpam-6229	205	12	(	(	PUNCT
ejpam-6229	205	13	d	d	X
ejpam-6229	205	14	(	(	PUNCT
ejpam-6229	205	15	z	z	NOUN
ejpam-6229	205	16	)	)	PUNCT
ejpam-6229	205	17	n+1)j	n+1)j	PROPN
ejpam-6229	205	18	,	,	PUNCT
ejpam-6229	205	19	i	i	PRON
ejpam-6229	205	20	=	=	PUNCT
ejpam-6229	205	21			NOUN
ejpam-6229	205	22	∫	∫	PROPN
ejpam-6229	205	23	1	1	NUM
ejpam-6229	205	24	0	0	NUM
ejpam-6229	205	25	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	205	26	,	,	PUNCT
ejpam-6229	205	27	s)l̃i(s)ds	s)l̃i(s)ds	VERB
ejpam-6229	205	28	,	,	PUNCT
ejpam-6229	205	29	z	z	NOUN
ejpam-6229	205	30	=	=	SYM
ejpam-6229	205	31	r	r	NOUN
ejpam-6229	205	32	,	,	PUNCT
ejpam-6229	205	33	...	...	PUNCT
ejpam-6229	205	34	,	,	PUNCT
ejpam-6229	205	35	n	n	CCONJ
ejpam-6229	205	36	,	,	PUNCT
ejpam-6229	205	37	∫	∫	PROPN
ejpam-6229	205	38	cj	cj	PROPN
ejpam-6229	205	39	0	0	NUM
ejpam-6229	205	40	k̂z(tn+1,j	k̂z(tn+1,j	NOUN
ejpam-6229	205	41	,	,	PUNCT
ejpam-6229	205	42	s)l̃i(1	s)l̃i(1	PROPN
ejpam-6229	205	43	+	+	CCONJ
ejpam-6229	206	1	s)ds	s)ds	PROPN
ejpam-6229	206	2	,	,	PUNCT
ejpam-6229	206	3	z	z	NOUN
ejpam-6229	206	4	=	=	SYM
ejpam-6229	206	5	n+	n+	PUNCT
ejpam-6229	206	6	1	1	NUM
ejpam-6229	206	7	.	.	PUNCT
ejpam-6229	207	1	(	(	PUNCT
ejpam-6229	207	2	23	23	NUM
ejpam-6229	207	3	)	)	PUNCT
ejpam-6229	207	4	therefore	therefore	ADV
ejpam-6229	207	5	,	,	PUNCT
ejpam-6229	207	6	by	by	ADP
ejpam-6229	207	7	replacing	replace	VERB
ejpam-6229	207	8	these	these	DET
ejpam-6229	207	9	vectors	vector	NOUN
ejpam-6229	207	10	and	and	CCONJ
ejpam-6229	207	11	matrices	matrix	NOUN
ejpam-6229	207	12	in	in	ADP
ejpam-6229	207	13	equation	equation	NOUN
ejpam-6229	207	14	(	(	PUNCT
ejpam-6229	207	15	18	18	NUM
ejpam-6229	207	16	)	)	PUNCT
ejpam-6229	207	17	and	and	CCONJ
ejpam-6229	207	18	after	after	ADP
ejpam-6229	207	19	some	some	DET
ejpam-6229	207	20	computations	computation	NOUN
ejpam-6229	207	21	,	,	PUNCT
ejpam-6229	207	22	we	we	PRON
ejpam-6229	207	23	will	will	AUX
ejpam-6229	207	24	have	have	VERB
ejpam-6229	207	25	(	(	PUNCT
ejpam-6229	208	1	ān+1	ān+1	ADV
ejpam-6229	208	2	−	−	NOUN
ejpam-6229	209	1	h	h	NOUN
ejpam-6229	210	1	(	(	PUNCT
ejpam-6229	210	2	d	d	X
ejpam-6229	210	3	(	(	PUNCT
ejpam-6229	210	4	n+1	n+1	PROPN
ejpam-6229	210	5	)	)	PUNCT
ejpam-6229	210	6	n+1	n+1	PROPN
ejpam-6229	211	1	+	+	PROPN
ejpam-6229	211	2	d	d	NOUN
ejpam-6229	211	3	(	(	PUNCT
ejpam-6229	211	4	n	n	CCONJ
ejpam-6229	211	5	)	)	PUNCT
ejpam-6229	211	6	n+1	n+1	NUM
ejpam-6229	211	7	)	)	PUNCT
ejpam-6229	211	8	)	)	PUNCT
ejpam-6229	212	1	e2,n+1	e2,n+1	VERB
ejpam-6229	213	1	−	−	NOUN
ejpam-6229	213	2	h	h	NOUN
ejpam-6229	213	3	(	(	PUNCT
ejpam-6229	213	4	c	c	X
ejpam-6229	213	5	(	(	PUNCT
ejpam-6229	213	6	n+1	n+1	PROPN
ejpam-6229	213	7	)	)	PUNCT
ejpam-6229	213	8	n+1	n+1	PROPN
ejpam-6229	214	1	+	+	NUM
ejpam-6229	214	2	c	c	X
ejpam-6229	214	3	(	(	PUNCT
ejpam-6229	214	4	n	n	CCONJ
ejpam-6229	214	5	)	)	PUNCT
ejpam-6229	214	6	n+1	n+1	PROPN
ejpam-6229	215	1	+	+	PROPN
ejpam-6229	215	2	d	d	PROPN
ejpam-6229	215	3	(	(	PUNCT
ejpam-6229	215	4	n−1	n−1	PROPN
ejpam-6229	215	5	)	)	PUNCT
ejpam-6229	215	6	n+1	n+1	NUM
ejpam-6229	215	7	)	)	PUNCT
ejpam-6229	215	8	)	)	PUNCT
ejpam-6229	215	9	e2,n	e2,n	PROPN
ejpam-6229	216	1	=	=	PUNCT
ejpam-6229	216	2	h	h	NOUN
ejpam-6229	216	3	n−1∑	n−1∑	PROPN
ejpam-6229	216	4	z	z	PROPN
ejpam-6229	217	1	=	=	NOUN
ejpam-6229	217	2	r	r	NOUN
ejpam-6229	217	3	b	b	PROPN
ejpam-6229	217	4	(	(	PUNCT
ejpam-6229	217	5	z	z	NOUN
ejpam-6229	217	6	)	)	PUNCT
ejpam-6229	217	7	n+1e1,z	n+1e1,z	PROPN
ejpam-6229	217	8	+	+	SYM
ejpam-6229	217	9	hb	hb	X
ejpam-6229	217	10	(	(	PUNCT
ejpam-6229	217	11	z	z	NOUN
ejpam-6229	217	12	)	)	PUNCT
ejpam-6229	217	13	n+1e1,n+1	n+1e1,n+1	PROPN
ejpam-6229	217	14	+	+	PROPN
ejpam-6229	217	15	hb	hb	X
ejpam-6229	217	16	(	(	PUNCT
ejpam-6229	217	17	z	z	PROPN
ejpam-6229	217	18	)	)	PUNCT
ejpam-6229	217	19	n+1e1,n	n+1e1,n	PROPN
ejpam-6229	218	1	+	+	CCONJ
ejpam-6229	218	2	h	h	NOUN
ejpam-6229	218	3	n−1∑	n−1∑	PROPN
ejpam-6229	218	4	z	z	PROPN
ejpam-6229	218	5	=	=	NOUN
ejpam-6229	218	6	r	r	NOUN
ejpam-6229	218	7	c	c	NOUN
ejpam-6229	218	8	(	(	PUNCT
ejpam-6229	218	9	z	z	NOUN
ejpam-6229	218	10	)	)	PUNCT
ejpam-6229	218	11	n+1e2,z	n+1e2,z	PROPN
ejpam-6229	218	12	+	+	PROPN
ejpam-6229	218	13	h	h	NOUN
ejpam-6229	218	14	n−2∑	n−2∑	PROPN
ejpam-6229	218	15	z	z	PROPN
ejpam-6229	218	16	=	=	PROPN
ejpam-6229	218	17	r	r	NOUN
ejpam-6229	218	18	d	d	X
ejpam-6229	218	19	(	(	PUNCT
ejpam-6229	218	20	z	z	NOUN
ejpam-6229	218	21	)	)	PUNCT
ejpam-6229	218	22	n+1e2,z	n+1e2,z	PROPN
ejpam-6229	218	23	+	+	PROPN
ejpam-6229	218	24	o(hp+1	o(hp+1	NOUN
ejpam-6229	218	25	)	)	PUNCT
ejpam-6229	218	26	.	.	PUNCT
ejpam-6229	219	1	(	(	PUNCT
ejpam-6229	219	2	24	24	NUM
ejpam-6229	219	3	)	)	PUNCT
ejpam-6229	219	4	similar	similar	ADJ
ejpam-6229	219	5	to	to	ADP
ejpam-6229	219	6	what	what	PRON
ejpam-6229	219	7	we	we	PRON
ejpam-6229	219	8	did	do	AUX
ejpam-6229	219	9	before	before	ADV
ejpam-6229	219	10	for	for	ADP
ejpam-6229	219	11	equation	equation	NOUN
ejpam-6229	219	12	(	(	PUNCT
ejpam-6229	219	13	13	13	NUM
ejpam-6229	219	14	)	)	PUNCT
ejpam-6229	219	15	at	at	ADP
ejpam-6229	219	16	point	point	NOUN
ejpam-6229	219	17	t	t	NOUN
ejpam-6229	219	18	=	=	PUNCT
ejpam-6229	219	19	tn+1,j	tn+1,j	NOUN
ejpam-6229	219	20	,	,	PUNCT
ejpam-6229	219	21	the	the	DET
ejpam-6229	219	22	matrix	matrix	NOUN
ejpam-6229	219	23	form	form	NOUN
ejpam-6229	219	24	of	of	ADP
ejpam-6229	219	25	this	this	DET
ejpam-6229	219	26	equation	equation	NOUN
ejpam-6229	219	27	at	at	ADP
ejpam-6229	219	28	point	point	NOUN
ejpam-6229	219	29	t	t	PROPN
ejpam-6229	219	30	=	=	SYM
ejpam-6229	219	31	tn	tn	PROPN
ejpam-6229	219	32	,	,	PUNCT
ejpam-6229	219	33	j	j	PROPN
ejpam-6229	219	34	can	can	AUX
ejpam-6229	219	35	be	be	AUX
ejpam-6229	219	36	expressed	express	VERB
ejpam-6229	219	37	as	as	ADP
ejpam-6229	219	38	−hd	−hd	NOUN
ejpam-6229	219	39	(	(	PUNCT
ejpam-6229	219	40	n	n	CCONJ
ejpam-6229	219	41	)	)	PUNCT
ejpam-6229	219	42	n	n	PRON
ejpam-6229	219	43	e2,n+1	e2,n+1	PROPN
ejpam-6229	220	1	+	+	CCONJ
ejpam-6229	220	2	(	(	PUNCT
ejpam-6229	220	3	ān	ān	PROPN
ejpam-6229	220	4	−	−	PROPN
ejpam-6229	220	5	h	h	NOUN
ejpam-6229	220	6	(	(	PUNCT
ejpam-6229	220	7	c	c	X
ejpam-6229	220	8	(	(	PUNCT
ejpam-6229	220	9	n	n	CCONJ
ejpam-6229	220	10	)	)	PUNCT
ejpam-6229	220	11	n	n	PRON
ejpam-6229	221	1	+	+	ADP
ejpam-6229	221	2	d	d	PROPN
ejpam-6229	221	3	(	(	PUNCT
ejpam-6229	221	4	n−1	n−1	PROPN
ejpam-6229	221	5	)	)	PUNCT
ejpam-6229	221	6	n	n	NOUN
ejpam-6229	221	7	)	)	PUNCT
ejpam-6229	221	8	)	)	PUNCT
ejpam-6229	222	1	e2,n	e2,n	NOUN
ejpam-6229	222	2	=	=	PUNCT
ejpam-6229	223	1	h	h	NOUN
ejpam-6229	223	2	n∑	n∑	NOUN
ejpam-6229	224	1	z	z	PROPN
ejpam-6229	225	1	=	=	NOUN
ejpam-6229	225	2	r	r	NOUN
ejpam-6229	225	3	b	b	PROPN
ejpam-6229	225	4	(	(	PUNCT
ejpam-6229	225	5	z	z	NOUN
ejpam-6229	225	6	)	)	PUNCT
ejpam-6229	225	7	n	n	PRON
ejpam-6229	225	8	e1,z	e1,z	PROPN
ejpam-6229	225	9	+	+	CCONJ
ejpam-6229	225	10	h	h	NOUN
ejpam-6229	225	11	n−2∑	n−2∑	PROPN
ejpam-6229	225	12	z	z	PROPN
ejpam-6229	225	13	=	=	NOUN
ejpam-6229	225	14	r	r	NOUN
ejpam-6229	225	15	d	d	NOUN
ejpam-6229	225	16	(	(	PUNCT
ejpam-6229	225	17	z	z	NOUN
ejpam-6229	225	18	)	)	PUNCT
ejpam-6229	225	19	n	n	CCONJ
ejpam-6229	225	20	e2,z+1	e2,z+1	PROPN
ejpam-6229	226	1	+	+	CCONJ
ejpam-6229	226	2	h	h	NOUN
ejpam-6229	226	3	n−2∑	n−2∑	PROPN
ejpam-6229	226	4	z	z	X
ejpam-6229	226	5	=	=	NOUN
ejpam-6229	226	6	r	r	NOUN
ejpam-6229	226	7	c	c	NOUN
ejpam-6229	226	8	(	(	PUNCT
ejpam-6229	226	9	z	z	NOUN
ejpam-6229	226	10	)	)	PUNCT
ejpam-6229	226	11	n	n	PROPN
ejpam-6229	226	12	e2,z	e2,z	PROPN
ejpam-6229	226	13	+	+	PROPN
ejpam-6229	226	14	c	c	PROPN
ejpam-6229	226	15	(	(	PUNCT
ejpam-6229	226	16	n−1	n−1	PROPN
ejpam-6229	226	17	)	)	PUNCT
ejpam-6229	226	18	n	n	PRON
ejpam-6229	226	19	e2,n−1	e2,n−1	ADJ
ejpam-6229	226	20	+	+	NOUN
ejpam-6229	226	21	o(hp+1	o(hp+1	NOUN
ejpam-6229	226	22	)	)	PUNCT
ejpam-6229	226	23	.	.	PUNCT
ejpam-6229	227	1	(	(	PUNCT
ejpam-6229	227	2	25	25	NUM
ejpam-6229	227	3	)	)	PUNCT
ejpam-6229	227	4	h.	h.	PROPN
ejpam-6229	227	5	a.	a.	NOUN
ejpam-6229	227	6	thabbah	thabbah	PROPN
ejpam-6229	227	7	,	,	PUNCT
ejpam-6229	227	8	s.	s.	PROPN
ejpam-6229	227	9	pishbin	pishbin	PROPN
ejpam-6229	227	10	,	,	PUNCT
ejpam-6229	227	11	p.	p.	NOUN
ejpam-6229	227	12	darania	darania	PROPN
ejpam-6229	227	13	/	/	SYM
ejpam-6229	227	14	eur	eur	PROPN
ejpam-6229	227	15	.	.	PUNCT
ejpam-6229	228	1	j.	j.	PROPN
ejpam-6229	228	2	pure	pure	PROPN
ejpam-6229	228	3	appl	appl	PROPN
ejpam-6229	228	4	.	.	PROPN
ejpam-6229	228	5	math	math	PROPN
ejpam-6229	228	6	,	,	PUNCT
ejpam-6229	228	7	18	18	NUM
ejpam-6229	228	8	(	(	PUNCT
ejpam-6229	228	9	3	3	NUM
ejpam-6229	228	10	)	)	PUNCT
ejpam-6229	228	11	(	(	PUNCT
ejpam-6229	228	12	2025	2025	NUM
ejpam-6229	228	13	)	)	PUNCT
ejpam-6229	228	14	,	,	PUNCT
ejpam-6229	228	15	6229	6229	NUM
ejpam-6229	228	16	11	11	NUM
ejpam-6229	228	17	of	of	ADP
ejpam-6229	228	18	16	16	NUM
ejpam-6229	228	19	now	now	ADV
ejpam-6229	228	20	,	,	PUNCT
ejpam-6229	228	21	in	in	ADP
ejpam-6229	228	22	the	the	DET
ejpam-6229	228	23	equation	equation	NOUN
ejpam-6229	228	24	(	(	PUNCT
ejpam-6229	228	25	12	12	NUM
ejpam-6229	228	26	)	)	PUNCT
ejpam-6229	228	27	,	,	PUNCT
ejpam-6229	228	28	we	we	PRON
ejpam-6229	228	29	set	set	VERB
ejpam-6229	228	30	n	n	NOUN
ejpam-6229	228	31	=	=	SYM
ejpam-6229	228	32	l	l	NOUN
ejpam-6229	229	1	−	−	NOUN
ejpam-6229	229	2	1	1	NUM
ejpam-6229	229	3	,	,	PUNCT
ejpam-6229	229	4	then	then	ADV
ejpam-6229	229	5	we	we	PRON
ejpam-6229	229	6	get	get	VERB
ejpam-6229	229	7	the	the	DET
ejpam-6229	229	8	difference	difference	NOUN
ejpam-6229	229	9	equation	equation	NOUN
ejpam-6229	229	10	e1,l	e1,l	PROPN
ejpam-6229	229	11	=	=	PUNCT
ejpam-6229	229	12	ãe1,l−1	ãe1,l−1	PROPN
ejpam-6229	229	13	+	+	CCONJ
ejpam-6229	229	14	s̃e2,l−1	s̃e2,l−1	PROPN
ejpam-6229	229	15	+	+	CCONJ
ejpam-6229	229	16	t̃e2,l	t̃e2,l	NUM
ejpam-6229	229	17	+	+	NOUN
ejpam-6229	229	18	o(hp	o(hp	ADJ
ejpam-6229	229	19	)	)	PUNCT
ejpam-6229	229	20	,	,	PUNCT
ejpam-6229	229	21	(	(	PUNCT
ejpam-6229	229	22	26	26	NUM
ejpam-6229	229	23	)	)	PUNCT
ejpam-6229	229	24	with	with	ADP
ejpam-6229	229	25	exact	exact	ADJ
ejpam-6229	229	26	solution	solution	NOUN
ejpam-6229	229	27	e1,l	e1,l	PROPN
ejpam-6229	229	28	=	=	PUNCT
ejpam-6229	229	29	ãl−r+1e1,r−1	ãl−r+1e1,r−1	PROPN
ejpam-6229	230	1	+	+	NUM
ejpam-6229	230	2	l−1∑	l−1∑	PROPN
ejpam-6229	230	3	j	j	PROPN
ejpam-6229	230	4	=	=	PROPN
ejpam-6229	230	5	r−1	r−1	PROPN
ejpam-6229	230	6	ãl−j−1(s̃e2,j	ãl−j−1(s̃e2,j	PROPN
ejpam-6229	230	7	+	+	NUM
ejpam-6229	230	8	t̃e2,j+1	t̃e2,j+1	NOUN
ejpam-6229	230	9	)	)	PUNCT
ejpam-6229	231	1	+	+	VERB
ejpam-6229	231	2	o(hp	o(hp	ADJ
ejpam-6229	231	3	)	)	PUNCT
ejpam-6229	231	4	,	,	PUNCT
ejpam-6229	231	5	(	(	PUNCT
ejpam-6229	231	6	27	27	NUM
ejpam-6229	231	7	)	)	PUNCT
ejpam-6229	231	8	where	where	SCONJ
ejpam-6229	231	9	s̃	s̃	PROPN
ejpam-6229	231	10	=	=	SYM
ejpam-6229	231	11			PROPN
ejpam-6229	231	12	000r−1,m	000r−1,m	X
ejpam-6229	231	13	l̄(1	l̄(1	NOUN
ejpam-6229	231	14	)	)	PUNCT
ejpam-6229	231	15	,	,	PUNCT
ejpam-6229	231	16	.	.	PUNCT
ejpam-6229	231	17	.	.	PUNCT
ejpam-6229	231	18	.	.	PUNCT
ejpam-6229	232	1	,	,	PUNCT
ejpam-6229	232	2	l̄m(1	l̄m(1	NOUN
ejpam-6229	232	3	)	)	PUNCT
ejpam-6229	232	4			NOUN
ejpam-6229	232	5	,	,	PUNCT
ejpam-6229	232	6	t̃	t̃	PROPN
ejpam-6229	232	7	=	=	PUNCT
ejpam-6229	232	8			PROPN
ejpam-6229	232	9	000r−1,m	000r−1,m	NUM
ejpam-6229	232	10	l̂1(1	l̂1(1	PROPN
ejpam-6229	232	11	)	)	PUNCT
ejpam-6229	232	12	,	,	PUNCT
ejpam-6229	232	13	.	.	PUNCT
ejpam-6229	232	14	.	.	PUNCT
ejpam-6229	233	1	.	.	PUNCT
ejpam-6229	234	1	,	,	PUNCT
ejpam-6229	234	2	l̂m(1	l̂m(1	NOUN
ejpam-6229	234	3	)	)	PUNCT
ejpam-6229	234	4			NOUN
ejpam-6229	234	5	.	.	PUNCT
ejpam-6229	235	1	(	(	PUNCT
ejpam-6229	235	2	28	28	X
ejpam-6229	235	3	)	)	PUNCT
ejpam-6229	235	4	inserting	insert	VERB
ejpam-6229	235	5	(	(	PUNCT
ejpam-6229	235	6	27	27	NUM
ejpam-6229	235	7	)	)	PUNCT
ejpam-6229	235	8	in	in	ADP
ejpam-6229	235	9	equations	equation	NOUN
ejpam-6229	235	10	(	(	PUNCT
ejpam-6229	235	11	24	24	NUM
ejpam-6229	235	12	)	)	PUNCT
ejpam-6229	235	13	and	and	CCONJ
ejpam-6229	235	14	(	(	PUNCT
ejpam-6229	235	15	25	25	NUM
ejpam-6229	235	16	)	)	PUNCT
ejpam-6229	235	17	,	,	PUNCT
ejpam-6229	235	18	we	we	PRON
ejpam-6229	235	19	will	will	AUX
ejpam-6229	235	20	get	get	VERB
ejpam-6229	235	21	the	the	DET
ejpam-6229	235	22	general	general	ADJ
ejpam-6229	235	23	form	form	NOUN
ejpam-6229	235	24	of	of	ADP
ejpam-6229	235	25	the	the	DET
ejpam-6229	235	26	system	system	NOUN
ejpam-6229	235	27	of	of	ADP
ejpam-6229	235	28	their	their	PRON
ejpam-6229	235	29	equations	equation	NOUN
ejpam-6229	235	30	in	in	ADP
ejpam-6229	235	31	the	the	DET
ejpam-6229	235	32	form	form	NOUN
ejpam-6229	235	33	of	of	ADP
ejpam-6229	235	34	the	the	DET
ejpam-6229	235	35	following	follow	VERB
ejpam-6229	235	36	system	system	PROPN
ejpam-6229	235	37	(	(	PUNCT
ejpam-6229	236	1	ān+1	ān+1	ADV
ejpam-6229	236	2	−	−	PROPN
ejpam-6229	236	3	h	h	NOUN
ejpam-6229	236	4	(	(	PUNCT
ejpam-6229	236	5	d	d	X
ejpam-6229	236	6	(	(	PUNCT
ejpam-6229	236	7	n+1	n+1	PROPN
ejpam-6229	236	8	)	)	PUNCT
ejpam-6229	236	9	n+1	n+1	PROPN
ejpam-6229	237	1	+	+	PROPN
ejpam-6229	237	2	d	d	NOUN
ejpam-6229	237	3	(	(	PUNCT
ejpam-6229	237	4	n	n	CCONJ
ejpam-6229	237	5	)	)	PUNCT
ejpam-6229	237	6	n+1	n+1	PROPN
ejpam-6229	238	1	+	+	PROPN
ejpam-6229	238	2	b	b	PROPN
ejpam-6229	238	3	(	(	PUNCT
ejpam-6229	238	4	z	z	NOUN
ejpam-6229	238	5	)	)	PUNCT
ejpam-6229	238	6	n+1t̃	n+1t̃	PROPN
ejpam-6229	238	7	)	)	PUNCT
ejpam-6229	238	8	)	)	PUNCT
ejpam-6229	239	1	e2,n+1	e2,n+1	VERB
ejpam-6229	240	1	−h	−h	ADV
ejpam-6229	240	2	(	(	PUNCT
ejpam-6229	240	3	c	c	X
ejpam-6229	240	4	(	(	PUNCT
ejpam-6229	240	5	n+1	n+1	PROPN
ejpam-6229	240	6	)	)	PUNCT
ejpam-6229	240	7	n+1	n+1	PROPN
ejpam-6229	241	1	+	+	NUM
ejpam-6229	241	2	c	c	X
ejpam-6229	241	3	(	(	PUNCT
ejpam-6229	241	4	n	n	CCONJ
ejpam-6229	241	5	)	)	PUNCT
ejpam-6229	241	6	n+1	n+1	PROPN
ejpam-6229	242	1	+	+	PROPN
ejpam-6229	242	2	d	d	PROPN
ejpam-6229	242	3	(	(	PUNCT
ejpam-6229	242	4	n−1	n−1	PROPN
ejpam-6229	242	5	)	)	PUNCT
ejpam-6229	242	6	n+1	n+1	PROPN
ejpam-6229	243	1	+	+	PROPN
ejpam-6229	243	2	b	b	PROPN
ejpam-6229	243	3	(	(	PUNCT
ejpam-6229	243	4	z	z	NOUN
ejpam-6229	243	5	)	)	PUNCT
ejpam-6229	243	6	n+1s̃	n+1s̃	PROPN
ejpam-6229	243	7	+	+	PROPN
ejpam-6229	243	8	b	b	PROPN
ejpam-6229	243	9	(	(	PUNCT
ejpam-6229	243	10	z	z	NOUN
ejpam-6229	243	11	)	)	PUNCT
ejpam-6229	243	12	n+1ãt̃	n+1ãt̃	PUNCT
ejpam-6229	244	1	+	+	PROPN
ejpam-6229	244	2	b	b	X
ejpam-6229	244	3	(	(	PUNCT
ejpam-6229	244	4	z	z	NOUN
ejpam-6229	244	5	)	)	PUNCT
ejpam-6229	244	6	n+1t̃	n+1t̃	PROPN
ejpam-6229	244	7	)	)	PUNCT
ejpam-6229	245	1	e2,n	e2,n	PROPN
ejpam-6229	245	2	=	=	PUNCT
ejpam-6229	246	1	h	h	PROPN
ejpam-6229	246	2	n−1∑	n−1∑	PROPN
ejpam-6229	246	3	z	z	PROPN
ejpam-6229	247	1	=	=	NOUN
ejpam-6229	247	2	r	r	NOUN
ejpam-6229	247	3	b	b	PROPN
ejpam-6229	247	4	(	(	PUNCT
ejpam-6229	247	5	z	z	NOUN
ejpam-6229	247	6	)	)	PUNCT
ejpam-6229	247	7	n+1e1,z	n+1e1,z	PROPN
ejpam-6229	247	8	+	+	SYM
ejpam-6229	247	9	hb	hb	X
ejpam-6229	247	10	(	(	PUNCT
ejpam-6229	247	11	z	z	NOUN
ejpam-6229	247	12	)	)	PUNCT
ejpam-6229	247	13	n+1ã	n+1ã	NOUN
ejpam-6229	247	14	n−r+2e1,r−1	n−r+2e1,r−1	NOUN
ejpam-6229	248	1	+	+	CCONJ
ejpam-6229	248	2	h	h	PROPN
ejpam-6229	248	3	n−1∑	n−1∑	NUM
ejpam-6229	248	4	j	j	X
ejpam-6229	248	5	=	=	NOUN
ejpam-6229	248	6	r−1	r−1	PROPN
ejpam-6229	248	7	b	b	PROPN
ejpam-6229	248	8	(	(	PUNCT
ejpam-6229	248	9	z	z	NOUN
ejpam-6229	248	10	)	)	PUNCT
ejpam-6229	248	11	n+1ã	n+1ã	NOUN
ejpam-6229	248	12	n−js̃e2,j	n−js̃e2,j	NOUN
ejpam-6229	248	13	+	+	PROPN
ejpam-6229	248	14	h	h	PROPN
ejpam-6229	248	15	n−2∑	n−2∑	PROPN
ejpam-6229	248	16	j	j	PROPN
ejpam-6229	248	17	=	=	PROPN
ejpam-6229	248	18	r−1	r−1	PROPN
ejpam-6229	248	19	b	b	PROPN
ejpam-6229	248	20	(	(	PUNCT
ejpam-6229	248	21	z	z	NOUN
ejpam-6229	248	22	)	)	PUNCT
ejpam-6229	248	23	n+1ã	n+1ã	PROPN
ejpam-6229	248	24	n−j	n−j	ADJ
ejpam-6229	248	25	t̃e2,j+1	t̃e2,j+1	NOUN
ejpam-6229	248	26	+	+	CCONJ
ejpam-6229	248	27	hb	hb	X
ejpam-6229	248	28	(	(	PUNCT
ejpam-6229	248	29	z	z	NOUN
ejpam-6229	248	30	)	)	PUNCT
ejpam-6229	248	31	n+1ã	n+1ã	PROPN
ejpam-6229	248	32	n−r+1e1,r−1	n−r+1e1,r−1	PROPN
ejpam-6229	249	1	+	+	NOUN
ejpam-6229	249	2	h	h	PROPN
ejpam-6229	249	3	n−1∑	n−1∑	NUM
ejpam-6229	249	4	j	j	X
ejpam-6229	249	5	=	=	NOUN
ejpam-6229	249	6	r−1	r−1	PROPN
ejpam-6229	249	7	b	b	PROPN
ejpam-6229	249	8	(	(	PUNCT
ejpam-6229	249	9	z	z	NOUN
ejpam-6229	249	10	)	)	PUNCT
ejpam-6229	249	11	n+1ã	n+1ã	PROPN
ejpam-6229	249	12	n−j−1s̃e2,j	n−j−1s̃e2,j	ADJ
ejpam-6229	249	13	+	+	NUM
ejpam-6229	249	14	h	h	PROPN
ejpam-6229	249	15	n−2∑	n−2∑	PROPN
ejpam-6229	249	16	j	j	PROPN
ejpam-6229	249	17	=	=	PROPN
ejpam-6229	249	18	r−1	r−1	PROPN
ejpam-6229	249	19	b	b	PROPN
ejpam-6229	249	20	(	(	PUNCT
ejpam-6229	249	21	z	z	NOUN
ejpam-6229	249	22	)	)	PUNCT
ejpam-6229	249	23	n+1ã	n+1ã	NOUN
ejpam-6229	249	24	n−j−1t̃e2,j+1	n−j−1t̃e2,j+1	X
ejpam-6229	249	25	+	+	NOUN
ejpam-6229	249	26	h	h	NOUN
ejpam-6229	249	27	n−1∑	n−1∑	NUM
ejpam-6229	249	28	z	z	PROPN
ejpam-6229	249	29	=	=	NOUN
ejpam-6229	249	30	r	r	NOUN
ejpam-6229	249	31	c	c	NOUN
ejpam-6229	249	32	(	(	PUNCT
ejpam-6229	249	33	z	z	NOUN
ejpam-6229	249	34	)	)	PUNCT
ejpam-6229	249	35	n+1e2,z	n+1e2,z	PROPN
ejpam-6229	249	36	+	+	NUM
ejpam-6229	249	37	h	h	NOUN
ejpam-6229	249	38	n−2∑	n−2∑	PROPN
ejpam-6229	249	39	z	z	PROPN
ejpam-6229	249	40	=	=	NOUN
ejpam-6229	249	41	r	r	NOUN
ejpam-6229	249	42	d	d	X
ejpam-6229	249	43	(	(	PUNCT
ejpam-6229	249	44	z	z	NOUN
ejpam-6229	249	45	)	)	PUNCT
ejpam-6229	249	46	n+1e2,z	n+1e2,z	PROPN
ejpam-6229	249	47	+	+	PROPN
ejpam-6229	249	48	o(hp+1	o(hp+1	NOUN
ejpam-6229	249	49	)	)	PUNCT
ejpam-6229	249	50	,	,	PUNCT
ejpam-6229	249	51	−hd	−hd	NOUN
ejpam-6229	249	52	(	(	PUNCT
ejpam-6229	249	53	n	n	CCONJ
ejpam-6229	249	54	)	)	PUNCT
ejpam-6229	249	55	n	n	PRON
ejpam-6229	249	56	e2,n+1	e2,n+1	PROPN
ejpam-6229	250	1	+	+	CCONJ
ejpam-6229	250	2	(	(	PUNCT
ejpam-6229	250	3	ān	ān	PROPN
ejpam-6229	250	4	−	−	PROPN
ejpam-6229	250	5	h	h	NOUN
ejpam-6229	250	6	(	(	PUNCT
ejpam-6229	250	7	c	c	X
ejpam-6229	250	8	(	(	PUNCT
ejpam-6229	250	9	n	n	CCONJ
ejpam-6229	250	10	)	)	PUNCT
ejpam-6229	250	11	n	n	PRON
ejpam-6229	251	1	+	+	ADP
ejpam-6229	251	2	d	d	PROPN
ejpam-6229	251	3	(	(	PUNCT
ejpam-6229	251	4	n−1	n−1	PROPN
ejpam-6229	251	5	)	)	PUNCT
ejpam-6229	251	6	n	n	X
ejpam-6229	251	7	−b	−b	ADJ
ejpam-6229	251	8	(	(	PUNCT
ejpam-6229	251	9	z	z	NOUN
ejpam-6229	251	10	)	)	PUNCT
ejpam-6229	251	11	n	n	PROPN
ejpam-6229	251	12	t̃	t̃	PROPN
ejpam-6229	251	13	)	)	PUNCT
ejpam-6229	251	14	)	)	PUNCT
ejpam-6229	252	1	e2,n	e2,n	PROPN
ejpam-6229	252	2	=	=	PUNCT
ejpam-6229	253	1	h	h	NOUN
ejpam-6229	253	2	n−1∑	n−1∑	PROPN
ejpam-6229	253	3	z	z	PROPN
ejpam-6229	254	1	=	=	NOUN
ejpam-6229	254	2	r	r	NOUN
ejpam-6229	254	3	b	b	PROPN
ejpam-6229	254	4	(	(	PUNCT
ejpam-6229	254	5	z	z	NOUN
ejpam-6229	254	6	)	)	PUNCT
ejpam-6229	254	7	n	n	PRON
ejpam-6229	254	8	e1,z	e1,z	PROPN
ejpam-6229	254	9	+	+	CCONJ
ejpam-6229	254	10	hb	hb	X
ejpam-6229	254	11	(	(	PUNCT
ejpam-6229	254	12	z	z	NOUN
ejpam-6229	254	13	)	)	PUNCT
ejpam-6229	254	14	n	n	ADP
ejpam-6229	254	15	ãn−r+1e1,r−1	ãn−r+1e1,r−1	PROPN
ejpam-6229	255	1	+	+	NUM
ejpam-6229	255	2	h	h	PROPN
ejpam-6229	255	3	n−1∑	n−1∑	NUM
ejpam-6229	255	4	j	j	X
ejpam-6229	255	5	=	=	NOUN
ejpam-6229	255	6	r−1	r−1	PROPN
ejpam-6229	255	7	b	b	PROPN
ejpam-6229	255	8	(	(	PUNCT
ejpam-6229	255	9	z	z	NOUN
ejpam-6229	255	10	)	)	PUNCT
ejpam-6229	255	11	n	n	NOUN
ejpam-6229	255	12	ãn−j−1s̃e2,j	ãn−j−1s̃e2,j	VERB
ejpam-6229	255	13	+	+	PROPN
ejpam-6229	255	14	h	h	PROPN
ejpam-6229	255	15	n−2∑	n−2∑	PROPN
ejpam-6229	255	16	j	j	PROPN
ejpam-6229	255	17	=	=	PROPN
ejpam-6229	255	18	r−1	r−1	PROPN
ejpam-6229	255	19	b	b	PROPN
ejpam-6229	255	20	(	(	PUNCT
ejpam-6229	255	21	z	z	NOUN
ejpam-6229	255	22	)	)	PUNCT
ejpam-6229	255	23	n	n	CCONJ
ejpam-6229	255	24	ãn−j−1t̃e2,j+1	ãn−j−1t̃e2,j+1	PRON
ejpam-6229	255	25	+	+	CCONJ
ejpam-6229	255	26	h	h	NOUN
ejpam-6229	255	27	n−2∑	n−2∑	PROPN
ejpam-6229	255	28	z	z	PROPN
ejpam-6229	255	29	=	=	NOUN
ejpam-6229	255	30	r	r	NOUN
ejpam-6229	255	31	d	d	NOUN
ejpam-6229	255	32	(	(	PUNCT
ejpam-6229	255	33	z	z	NOUN
ejpam-6229	255	34	)	)	PUNCT
ejpam-6229	255	35	n	n	CCONJ
ejpam-6229	255	36	e2,z+1	e2,z+1	PROPN
ejpam-6229	256	1	+	+	CCONJ
ejpam-6229	256	2	h	h	NOUN
ejpam-6229	256	3	n−2∑	n−2∑	PROPN
ejpam-6229	256	4	z	z	X
ejpam-6229	256	5	=	=	NOUN
ejpam-6229	256	6	r	r	NOUN
ejpam-6229	256	7	c	c	NOUN
ejpam-6229	256	8	(	(	PUNCT
ejpam-6229	256	9	z	z	NOUN
ejpam-6229	256	10	)	)	PUNCT
ejpam-6229	256	11	n	n	PROPN
ejpam-6229	256	12	e2,z	e2,z	PROPN
ejpam-6229	256	13	+	+	PROPN
ejpam-6229	256	14	c	c	PROPN
ejpam-6229	256	15	(	(	PUNCT
ejpam-6229	256	16	n−1	n−1	PROPN
ejpam-6229	256	17	)	)	PUNCT
ejpam-6229	256	18	n	n	PRON
ejpam-6229	256	19	e2,n−1	e2,n−1	ADJ
ejpam-6229	256	20	+	+	NOUN
ejpam-6229	256	21	o(hp+1	o(hp+1	NOUN
ejpam-6229	256	22	)	)	PUNCT
ejpam-6229	256	23	.	.	PUNCT
ejpam-6229	257	1	(	(	PUNCT
ejpam-6229	257	2	29	29	NUM
ejpam-6229	257	3	)	)	PUNCT
ejpam-6229	257	4	note	note	VERB
ejpam-6229	257	5	that	that	SCONJ
ejpam-6229	257	6	,	,	PUNCT
ejpam-6229	257	7	the	the	DET
ejpam-6229	257	8	coefficients	coefficient	NOUN
ejpam-6229	257	9	matrix	matrix	NOUN
ejpam-6229	257	10	on	on	ADP
ejpam-6229	257	11	the	the	DET
ejpam-6229	257	12	left	left	ADJ
ejpam-6229	257	13	hand	hand	NOUN
ejpam-6229	257	14	of	of	ADP
ejpam-6229	257	15	(	(	PUNCT
ejpam-6229	257	16	29	29	NUM
ejpam-6229	257	17	)	)	PUNCT
ejpam-6229	257	18	has	have	VERB
ejpam-6229	257	19	the	the	DET
ejpam-6229	257	20	form	form	NOUN
ejpam-6229	257	21	:	:	PUNCT
ejpam-6229	257	22	aaa	aaa	NOUN
ejpam-6229	258	1	=	=	SYM
ejpam-6229	258	2	[	[	PUNCT
ejpam-6229	258	3	a11	a11	PROPN
ejpam-6229	258	4	a12	a12	PROPN
ejpam-6229	258	5	a21	a21	PROPN
ejpam-6229	258	6	a22	a22	PROPN
ejpam-6229	258	7	]	]	PUNCT
ejpam-6229	258	8	,	,	PUNCT
ejpam-6229	258	9	(	(	PUNCT
ejpam-6229	258	10	30	30	NUM
ejpam-6229	258	11	)	)	PUNCT
ejpam-6229	258	12	h.	h.	PROPN
ejpam-6229	258	13	a.	a.	NOUN
ejpam-6229	258	14	thabbah	thabbah	PROPN
ejpam-6229	258	15	,	,	PUNCT
ejpam-6229	258	16	s.	s.	PROPN
ejpam-6229	258	17	pishbin	pishbin	PROPN
ejpam-6229	258	18	,	,	PUNCT
ejpam-6229	258	19	p.	p.	NOUN
ejpam-6229	258	20	darania	darania	PROPN
ejpam-6229	258	21	/	/	SYM
ejpam-6229	258	22	eur	eur	PROPN
ejpam-6229	258	23	.	.	PUNCT
ejpam-6229	259	1	j.	j.	PROPN
ejpam-6229	259	2	pure	pure	PROPN
ejpam-6229	259	3	appl	appl	PROPN
ejpam-6229	259	4	.	.	PROPN
ejpam-6229	259	5	math	math	PROPN
ejpam-6229	259	6	,	,	PUNCT
ejpam-6229	259	7	18	18	NUM
ejpam-6229	259	8	(	(	PUNCT
ejpam-6229	259	9	3	3	NUM
ejpam-6229	259	10	)	)	PUNCT
ejpam-6229	259	11	(	(	PUNCT
ejpam-6229	259	12	2025	2025	NUM
ejpam-6229	259	13	)	)	PUNCT
ejpam-6229	259	14	,	,	PUNCT
ejpam-6229	259	15	6229	6229	NUM
ejpam-6229	259	16	12	12	NUM
ejpam-6229	259	17	of	of	ADP
ejpam-6229	259	18	16	16	NUM
ejpam-6229	259	19	where	where	SCONJ
ejpam-6229	259	20	a11	a11	PROPN
ejpam-6229	259	21	=	=	PUNCT
ejpam-6229	259	22	ān+1	ān+1	ADV
ejpam-6229	259	23	−	−	PROPN
ejpam-6229	259	24	h	h	NOUN
ejpam-6229	259	25	(	(	PUNCT
ejpam-6229	259	26	d	d	X
ejpam-6229	259	27	(	(	PUNCT
ejpam-6229	259	28	n+1	n+1	PROPN
ejpam-6229	259	29	)	)	PUNCT
ejpam-6229	259	30	n+1	n+1	PROPN
ejpam-6229	260	1	+	+	PROPN
ejpam-6229	260	2	d	d	NOUN
ejpam-6229	260	3	(	(	PUNCT
ejpam-6229	260	4	n	n	CCONJ
ejpam-6229	260	5	)	)	PUNCT
ejpam-6229	260	6	n+1	n+1	PROPN
ejpam-6229	261	1	+	+	PROPN
ejpam-6229	261	2	b	b	PROPN
ejpam-6229	261	3	(	(	PUNCT
ejpam-6229	261	4	z	z	NOUN
ejpam-6229	261	5	)	)	PUNCT
ejpam-6229	261	6	n+1t̃	n+1t̃	PROPN
ejpam-6229	261	7	)	)	PUNCT
ejpam-6229	261	8	,	,	PUNCT
ejpam-6229	261	9	a12	a12	NUM
ejpam-6229	261	10	=	=	SYM
ejpam-6229	261	11	−h	−h	ADV
ejpam-6229	261	12	(	(	PUNCT
ejpam-6229	261	13	c	c	X
ejpam-6229	261	14	(	(	PUNCT
ejpam-6229	261	15	n+1	n+1	PROPN
ejpam-6229	261	16	)	)	PUNCT
ejpam-6229	261	17	n+1	n+1	PROPN
ejpam-6229	262	1	+	+	NUM
ejpam-6229	262	2	c	c	X
ejpam-6229	262	3	(	(	PUNCT
ejpam-6229	262	4	n	n	CCONJ
ejpam-6229	262	5	)	)	PUNCT
ejpam-6229	262	6	n+1	n+1	PROPN
ejpam-6229	263	1	+	+	PROPN
ejpam-6229	263	2	d	d	PROPN
ejpam-6229	263	3	(	(	PUNCT
ejpam-6229	263	4	n−1	n−1	PROPN
ejpam-6229	263	5	)	)	PUNCT
ejpam-6229	263	6	n+1	n+1	PROPN
ejpam-6229	264	1	+	+	PROPN
ejpam-6229	264	2	b	b	PROPN
ejpam-6229	264	3	(	(	PUNCT
ejpam-6229	264	4	z	z	NOUN
ejpam-6229	264	5	)	)	PUNCT
ejpam-6229	264	6	n+1s̃	n+1s̃	PROPN
ejpam-6229	264	7	+	+	PROPN
ejpam-6229	264	8	b	b	PROPN
ejpam-6229	264	9	(	(	PUNCT
ejpam-6229	264	10	z	z	NOUN
ejpam-6229	264	11	)	)	PUNCT
ejpam-6229	264	12	n+1ãt̃	n+1ãt̃	PUNCT
ejpam-6229	265	1	+	+	PROPN
ejpam-6229	265	2	b	b	X
ejpam-6229	265	3	(	(	PUNCT
ejpam-6229	265	4	z	z	NOUN
ejpam-6229	265	5	)	)	PUNCT
ejpam-6229	265	6	n+1t̃	n+1t̃	PROPN
ejpam-6229	265	7	)	)	PUNCT
ejpam-6229	265	8	,	,	PUNCT
ejpam-6229	265	9	a21	a21	NOUN
ejpam-6229	265	10	=	=	SYM
ejpam-6229	265	11	−hd	−hd	X
ejpam-6229	265	12	(	(	PUNCT
ejpam-6229	265	13	n	n	CCONJ
ejpam-6229	265	14	)	)	PUNCT
ejpam-6229	265	15	n	n	NOUN
ejpam-6229	265	16	,	,	PUNCT
ejpam-6229	265	17	a22	a22	PROPN
ejpam-6229	265	18	=	=	PUNCT
ejpam-6229	265	19	ān	ān	PROPN
ejpam-6229	265	20	−	−	PROPN
ejpam-6229	265	21	h	h	NOUN
ejpam-6229	265	22	(	(	PUNCT
ejpam-6229	265	23	c	c	X
ejpam-6229	265	24	(	(	PUNCT
ejpam-6229	265	25	n	n	CCONJ
ejpam-6229	265	26	)	)	PUNCT
ejpam-6229	265	27	n	n	PRON
ejpam-6229	266	1	+	+	ADP
ejpam-6229	266	2	d	d	PROPN
ejpam-6229	266	3	(	(	PUNCT
ejpam-6229	266	4	n−1	n−1	PROPN
ejpam-6229	266	5	)	)	PUNCT
ejpam-6229	266	6	n	n	X
ejpam-6229	266	7	−b	−b	ADJ
ejpam-6229	266	8	(	(	PUNCT
ejpam-6229	266	9	z	z	NOUN
ejpam-6229	266	10	)	)	PUNCT
ejpam-6229	266	11	n	n	PROPN
ejpam-6229	266	12	t̃	t̃	PROPN
ejpam-6229	266	13	)	)	PUNCT
ejpam-6229	266	14	.	.	PUNCT
ejpam-6229	267	1	(	(	PUNCT
ejpam-6229	267	2	31	31	NUM
ejpam-6229	267	3	)	)	PUNCT
ejpam-6229	267	4	now	now	ADV
ejpam-6229	267	5	,	,	PUNCT
ejpam-6229	267	6	we	we	PRON
ejpam-6229	267	7	set	set	VERB
ejpam-6229	267	8	ζζζ	ζζζ	NOUN
ejpam-6229	267	9	=	=	PUNCT
ejpam-6229	267	10	[	[	PUNCT
ejpam-6229	267	11	e2,n+1	e2,n+1	NOUN
ejpam-6229	267	12	e2,n	e2,n	NOUN
ejpam-6229	267	13	]	]	PUNCT
ejpam-6229	267	14	,	,	PUNCT
ejpam-6229	267	15	(	(	PUNCT
ejpam-6229	267	16	32	32	NUM
ejpam-6229	267	17	)	)	PUNCT
ejpam-6229	267	18	and	and	CCONJ
ejpam-6229	267	19	aaah	aaah	NOUN
ejpam-6229	267	20	=	=	SYM
ejpam-6229	267	21	aaa+o(h	aaa+o(h	PROPN
ejpam-6229	267	22	)	)	PUNCT
ejpam-6229	267	23	,	,	PUNCT
ejpam-6229	267	24	then	then	ADV
ejpam-6229	267	25	we	we	PRON
ejpam-6229	267	26	have	have	VERB
ejpam-6229	267	27	aaahζζζ	aaahζζζ	NOUN
ejpam-6229	267	28	=	=	SYM
ejpam-6229	267	29	bbb	bbb	PROPN
ejpam-6229	267	30	,	,	PUNCT
ejpam-6229	267	31	(	(	PUNCT
ejpam-6229	267	32	33	33	NUM
ejpam-6229	267	33	)	)	PUNCT
ejpam-6229	267	34	where	where	SCONJ
ejpam-6229	267	35	vector	vector	NOUN
ejpam-6229	267	36	bbb	bbb	PROPN
ejpam-6229	267	37	,	,	PUNCT
ejpam-6229	267	38	is	be	AUX
ejpam-6229	267	39	clear	clear	ADJ
ejpam-6229	267	40	and	and	CCONJ
ejpam-6229	267	41	aaah	aaah	NOUN
ejpam-6229	267	42	=	=	PUNCT
ejpam-6229	268	1	[	[	PUNCT
ejpam-6229	268	2	ān+1	ān+1	ADV
ejpam-6229	268	3	0	0	NUM
ejpam-6229	268	4	0	0	X
ejpam-6229	268	5	ān	ān	NOUN
ejpam-6229	268	6	]	]	PUNCT
ejpam-6229	268	7	.	.	PUNCT
ejpam-6229	269	1	(	(	PUNCT
ejpam-6229	269	2	34	34	NUM
ejpam-6229	269	3	)	)	PUNCT
ejpam-6229	269	4	then	then	ADV
ejpam-6229	269	5	,	,	PUNCT
ejpam-6229	269	6	matrix	matrix	NOUN
ejpam-6229	269	7	aaah	aaah	NOUN
ejpam-6229	269	8	is	be	AUX
ejpam-6229	269	9	invertible	invertible	ADJ
ejpam-6229	269	10	if	if	SCONJ
ejpam-6229	269	11	for	for	ADP
ejpam-6229	269	12	η	η	PROPN
ejpam-6229	269	13	=	=	PROPN
ejpam-6229	269	14	n	n	CCONJ
ejpam-6229	269	15	,	,	PUNCT
ejpam-6229	269	16	n+1	n+1	PROPN
ejpam-6229	269	17	,	,	PUNCT
ejpam-6229	269	18	the	the	DET
ejpam-6229	269	19	matrices	matrix	NOUN
ejpam-6229	269	20	āη	āη	ADV
ejpam-6229	269	21	,	,	PUNCT
ejpam-6229	269	22	are	be	AUX
ejpam-6229	269	23	invertible	invertible	ADJ
ejpam-6229	269	24	.	.	PUNCT
ejpam-6229	270	1	according	accord	VERB
ejpam-6229	270	2	to	to	ADP
ejpam-6229	270	3	theorem	theorem	NOUN
ejpam-6229	270	4	3.6	3.6	NUM
ejpam-6229	270	5	from	from	ADP
ejpam-6229	270	6	reference	reference	NOUN
ejpam-6229	270	7	[	[	X
ejpam-6229	270	8	13	13	NUM
ejpam-6229	270	9	]	]	PUNCT
ejpam-6229	270	10	,	,	PUNCT
ejpam-6229	270	11	matrices	matrice	VERB
ejpam-6229	270	12	ān	ān	PROPN
ejpam-6229	270	13	,	,	PUNCT
ejpam-6229	270	14	and	and	CCONJ
ejpam-6229	270	15	ān+1	ān+1	ADV
ejpam-6229	270	16	,	,	PUNCT
ejpam-6229	270	17	are	be	AUX
ejpam-6229	270	18	invertible	invertible	ADJ
ejpam-6229	270	19	.	.	PUNCT
ejpam-6229	271	1	therefore	therefore	ADV
ejpam-6229	271	2	,	,	PUNCT
ejpam-6229	271	3	the	the	DET
ejpam-6229	271	4	bound	bind	VERB
ejpam-6229	271	5	for	for	ADP
ejpam-6229	271	6	ζζζ	ζζζ	NOUN
ejpam-6229	271	7	can	can	AUX
ejpam-6229	271	8	be	be	AUX
ejpam-6229	271	9	obtained	obtain	VERB
ejpam-6229	271	10	by	by	ADP
ejpam-6229	271	11	the	the	DET
ejpam-6229	271	12	same	same	ADJ
ejpam-6229	271	13	way	way	NOUN
ejpam-6229	271	14	as	as	SCONJ
ejpam-6229	271	15	described	describe	VERB
ejpam-6229	271	16	in	in	ADP
ejpam-6229	271	17	[	[	X
ejpam-6229	271	18	13	13	NUM
ejpam-6229	271	19	]	]	PUNCT
ejpam-6229	271	20	(	(	PUNCT
ejpam-6229	271	21	theorem	theorem	VERB
ejpam-6229	271	22	3.6	3.6	NUM
ejpam-6229	271	23	)	)	PUNCT
ejpam-6229	271	24	,	,	PUNCT
ejpam-6229	271	25	then	then	ADV
ejpam-6229	271	26	we	we	PRON
ejpam-6229	271	27	obtain	obtain	VERB
ejpam-6229	271	28	||ζζζ||	||ζζζ||	X
ejpam-6229	272	1	≤	≤	X
ejpam-6229	272	2	chp	chp	NOUN
ejpam-6229	272	3	,	,	PUNCT
ejpam-6229	272	4	and	and	CCONJ
ejpam-6229	272	5	the	the	DET
ejpam-6229	272	6	proof	proof	NOUN
ejpam-6229	272	7	has	have	AUX
ejpam-6229	272	8	completes	complete	VERB
ejpam-6229	272	9	here	here	ADV
ejpam-6229	272	10	.	.	PUNCT
ejpam-6229	273	1	4	4	X
ejpam-6229	273	2	.	.	X
ejpam-6229	273	3	numerical	numerical	ADJ
ejpam-6229	273	4	results	result	NOUN
ejpam-6229	273	5	now	now	ADV
ejpam-6229	273	6	,	,	PUNCT
ejpam-6229	273	7	we	we	PRON
ejpam-6229	273	8	aim	aim	VERB
ejpam-6229	273	9	to	to	PART
ejpam-6229	273	10	validate	validate	VERB
ejpam-6229	273	11	the	the	DET
ejpam-6229	273	12	previously	previously	ADV
ejpam-6229	273	13	established	establish	VERB
ejpam-6229	273	14	analytical	analytical	ADJ
ejpam-6229	273	15	findings	finding	NOUN
ejpam-6229	273	16	by	by	ADP
ejpam-6229	273	17	employing	employ	VERB
ejpam-6229	273	18	numerical	numerical	ADJ
ejpam-6229	273	19	solutions	solution	NOUN
ejpam-6229	273	20	to	to	PART
ejpam-6229	273	21	address	address	VERB
ejpam-6229	273	22	two	two	NUM
ejpam-6229	273	23	test	test	NOUN
ejpam-6229	273	24	problems	problem	NOUN
ejpam-6229	273	25	.	.	PUNCT
ejpam-6229	274	1	at	at	ADP
ejpam-6229	274	2	the	the	DET
ejpam-6229	274	3	same	same	ADJ
ejpam-6229	274	4	time	time	NOUN
ejpam-6229	274	5	,	,	PUNCT
ejpam-6229	274	6	we	we	PRON
ejpam-6229	274	7	will	will	AUX
ejpam-6229	274	8	tabulate	tabulate	VERB
ejpam-6229	274	9	the	the	DET
ejpam-6229	274	10	attained	attain	VERB
ejpam-6229	274	11	satisfactory	satisfactory	ADJ
ejpam-6229	274	12	outcomes	outcome	NOUN
ejpam-6229	274	13	concerning	concern	VERB
ejpam-6229	274	14	l∞	l∞	NOUN
ejpam-6229	274	15	errors	error	NOUN
ejpam-6229	274	16	and	and	CCONJ
ejpam-6229	274	17	optimal	optimal	ADJ
ejpam-6229	274	18	convergence	convergence	NOUN
ejpam-6229	274	19	orders	order	NOUN
ejpam-6229	274	20	for	for	ADP
ejpam-6229	274	21	some	some	DET
ejpam-6229	274	22	values	value	NOUN
ejpam-6229	274	23	of	of	ADP
ejpam-6229	274	24	n	n	PRON
ejpam-6229	274	25	with	with	ADP
ejpam-6229	274	26	m	m	PRON
ejpam-6229	274	27	,	,	PUNCT
ejpam-6229	274	28	r	r	NOUN
ejpam-6229	274	29	=	=	SYM
ejpam-6229	274	30	2	2	X
ejpam-6229	274	31	.	.	PUNCT
ejpam-6229	275	1	this	this	PRON
ejpam-6229	275	2	is	be	AUX
ejpam-6229	275	3	done	do	VERB
ejpam-6229	275	4	for	for	ADP
ejpam-6229	275	5	the	the	DET
ejpam-6229	275	6	purpose	purpose	NOUN
ejpam-6229	275	7	of	of	ADP
ejpam-6229	275	8	numerically	numerically	ADV
ejpam-6229	275	9	verifying	verify	VERB
ejpam-6229	275	10	the	the	DET
ejpam-6229	275	11	underlying	underlie	VERB
ejpam-6229	275	12	theorem	theorem	NOUN
ejpam-6229	275	13	2	2	X
ejpam-6229	275	14	.	.	X
ejpam-6229	276	1	we	we	PRON
ejpam-6229	276	2	consider	consider	VERB
ejpam-6229	276	3	two	two	NUM
ejpam-6229	276	4	following	follow	VERB
ejpam-6229	276	5	cases	case	NOUN
ejpam-6229	276	6	:	:	PUNCT
ejpam-6229	276	7	1	1	X
ejpam-6229	276	8	)	)	PUNCT
ejpam-6229	276	9	c1	c1	NOUN
ejpam-6229	276	10	=	=	NOUN
ejpam-6229	276	11	1	1	NUM
ejpam-6229	276	12	2	2	NUM
ejpam-6229	276	13	,	,	PUNCT
ejpam-6229	276	14	c2	c2	PROPN
ejpam-6229	276	15	=	=	SYM
ejpam-6229	276	16	1	1	NUM
ejpam-6229	276	17	⇒	⇒	NOUN
ejpam-6229	276	18	ρ(ã	ρ(ã	PROPN
ejpam-6229	276	19	)	)	PUNCT
ejpam-6229	276	20	=	=	PUNCT
ejpam-6229	277	1	0	0	PUNCT
ejpam-6229	277	2	<	<	X
ejpam-6229	277	3	1	1	NUM
ejpam-6229	277	4	.	.	NOUN
ejpam-6229	277	5	2	2	NUM
ejpam-6229	277	6	)	)	PUNCT
ejpam-6229	277	7	c1	c1	NOUN
ejpam-6229	277	8	=	=	NOUN
ejpam-6229	277	9	1	1	NUM
ejpam-6229	277	10	3	3	NUM
ejpam-6229	277	11	,	,	PUNCT
ejpam-6229	277	12	c2	c2	PROPN
ejpam-6229	277	13	=	=	NOUN
ejpam-6229	277	14	7	7	NUM
ejpam-6229	277	15	8	8	NUM
ejpam-6229	277	16	⇒	⇒	NOUN
ejpam-6229	277	17	ρ(ã	ρ(ã	PROPN
ejpam-6229	277	18	)	)	PUNCT
ejpam-6229	277	19	=	=	NOUN
ejpam-6229	278	1	0.505485	0.505485	NUM
ejpam-6229	278	2	<	<	X
ejpam-6229	278	3	1	1	NUM
ejpam-6229	278	4	.	.	PUNCT
ejpam-6229	278	5	to	to	PART
ejpam-6229	278	6	ensure	ensure	VERB
ejpam-6229	278	7	clarity	clarity	NOUN
ejpam-6229	278	8	,	,	PUNCT
ejpam-6229	278	9	it	it	PRON
ejpam-6229	278	10	’s	’	VERB
ejpam-6229	278	11	important	important	ADJ
ejpam-6229	278	12	to	to	PART
ejpam-6229	278	13	mention	mention	VERB
ejpam-6229	278	14	that	that	SCONJ
ejpam-6229	278	15	all	all	DET
ejpam-6229	278	16	implementations	implementation	NOUN
ejpam-6229	278	17	have	have	AUX
ejpam-6229	278	18	been	be	AUX
ejpam-6229	278	19	carried	carry	VERB
ejpam-6229	278	20	out	out	ADP
ejpam-6229	278	21	in	in	ADP
ejpam-6229	278	22	the	the	DET
ejpam-6229	278	23	mathematica	mathematica	PROPN
ejpam-6229	278	24	®	®	PROPN
ejpam-6229	278	25	software	software	PROPN
ejpam-6229	278	26	.	.	PUNCT
ejpam-6229	279	1	continuing	continue	VERB
ejpam-6229	279	2	in	in	ADP
ejpam-6229	279	3	this	this	DET
ejpam-6229	279	4	section	section	NOUN
ejpam-6229	279	5	,	,	PUNCT
ejpam-6229	279	6	the	the	DET
ejpam-6229	279	7	primary	primary	ADJ
ejpam-6229	279	8	values	value	NOUN
ejpam-6229	279	9	have	have	AUX
ejpam-6229	279	10	been	be	AUX
ejpam-6229	279	11	gotten	get	VERB
ejpam-6229	279	12	from	from	ADP
ejpam-6229	279	13	well	well	ADV
ejpam-6229	279	14	-	-	PUNCT
ejpam-6229	279	15	established	establish	VERB
ejpam-6229	279	16	exact	exact	ADJ
ejpam-6229	279	17	solutions	solution	NOUN
ejpam-6229	279	18	.	.	PUNCT
ejpam-6229	280	1	the	the	DET
ejpam-6229	280	2	comparison	comparison	NOUN
ejpam-6229	280	3	of	of	ADP
ejpam-6229	280	4	the	the	DET
ejpam-6229	280	5	obtained	obtain	VERB
ejpam-6229	280	6	numerical	numerical	ADJ
ejpam-6229	280	7	results	result	NOUN
ejpam-6229	280	8	in	in	ADP
ejpam-6229	280	9	tables	table	NOUN
ejpam-6229	280	10	14	14	NUM
ejpam-6229	280	11	,	,	PUNCT
ejpam-6229	280	12	for	for	ADP
ejpam-6229	280	13	m	m	PROPN
ejpam-6229	280	14	,	,	PUNCT
ejpam-6229	280	15	r	r	NOUN
ejpam-6229	280	16	=	=	SYM
ejpam-6229	280	17	2	2	NUM
ejpam-6229	280	18	,	,	PUNCT
ejpam-6229	280	19	shows	show	VERB
ejpam-6229	280	20	that	that	SCONJ
ejpam-6229	280	21	new	new	ADJ
ejpam-6229	280	22	multi	multi	ADJ
ejpam-6229	280	23	-	-	ADJ
ejpam-6229	280	24	step	step	ADJ
ejpam-6229	280	25	method	method	NOUN
ejpam-6229	280	26	(	(	PUNCT
ejpam-6229	280	27	nmsm	nmsm	NOUN
ejpam-6229	280	28	)	)	PUNCT
ejpam-6229	280	29	is	be	AUX
ejpam-6229	280	30	more	more	ADV
ejpam-6229	280	31	accurate	accurate	ADJ
ejpam-6229	280	32	than	than	ADP
ejpam-6229	280	33	the	the	DET
ejpam-6229	280	34	one	one	NUM
ejpam-6229	280	35	-	-	PUNCT
ejpam-6229	280	36	step	step	NOUN
ejpam-6229	280	37	method	method	NOUN
ejpam-6229	280	38	(	(	PUNCT
ejpam-6229	280	39	1	1	NUM
ejpam-6229	280	40	-	-	PUNCT
ejpam-6229	280	41	sm	sm	NOUN
ejpam-6229	280	42	)	)	PUNCT
ejpam-6229	280	43	and	and	CCONJ
ejpam-6229	280	44	multi	multi	ADJ
ejpam-6229	280	45	-	-	ADJ
ejpam-6229	280	46	step	step	ADJ
ejpam-6229	280	47	methods	method	NOUN
ejpam-6229	280	48	(	(	PUNCT
ejpam-6229	280	49	msms	msm	NOUN
ejpam-6229	280	50	)	)	PUNCT
ejpam-6229	280	51	used	use	VERB
ejpam-6229	280	52	in	in	ADP
ejpam-6229	280	53	[	[	X
ejpam-6229	280	54	13	13	NUM
ejpam-6229	280	55	,	,	PUNCT
ejpam-6229	280	56	14	14	NUM
ejpam-6229	280	57	]	]	PUNCT
ejpam-6229	280	58	.	.	PUNCT
ejpam-6229	281	1	also	also	ADV
ejpam-6229	281	2	in	in	ADP
ejpam-6229	281	3	fig	fig	NOUN
ejpam-6229	281	4	.	.	PUNCT
ejpam-6229	281	5	1	1	NUM
ejpam-6229	281	6	and	and	CCONJ
ejpam-6229	281	7	fig	fig	NOUN
ejpam-6229	281	8	.	.	PUNCT
ejpam-6229	282	1	2	2	NUM
ejpam-6229	282	2	,	,	PUNCT
ejpam-6229	282	3	we	we	PRON
ejpam-6229	282	4	plot	plot	VERB
ejpam-6229	282	5	error	error	NOUN
ejpam-6229	282	6	functions	function	NOUN
ejpam-6229	282	7	for	for	ADP
ejpam-6229	282	8	the	the	DET
ejpam-6229	282	9	one	one	NUM
ejpam-6229	282	10	-	-	PUNCT
ejpam-6229	282	11	step	step	NOUN
ejpam-6229	282	12	,	,	PUNCT
ejpam-6229	282	13	multi	multi	ADJ
ejpam-6229	282	14	-	-	ADJ
ejpam-6229	282	15	step	step	NOUN
ejpam-6229	282	16	and	and	CCONJ
ejpam-6229	282	17	h.	h.	PROPN
ejpam-6229	282	18	a.	a.	PROPN
ejpam-6229	282	19	thabbah	thabbah	PROPN
ejpam-6229	282	20	,	,	PUNCT
ejpam-6229	282	21	s.	s.	PROPN
ejpam-6229	282	22	pishbin	pishbin	PROPN
ejpam-6229	282	23	,	,	PUNCT
ejpam-6229	282	24	p.	p.	NOUN
ejpam-6229	282	25	darania	darania	PROPN
ejpam-6229	282	26	/	/	SYM
ejpam-6229	282	27	eur	eur	PROPN
ejpam-6229	282	28	.	.	PUNCT
ejpam-6229	283	1	j.	j.	PROPN
ejpam-6229	283	2	pure	pure	PROPN
ejpam-6229	283	3	appl	appl	PROPN
ejpam-6229	283	4	.	.	PROPN
ejpam-6229	283	5	math	math	PROPN
ejpam-6229	283	6	,	,	PUNCT
ejpam-6229	283	7	18	18	NUM
ejpam-6229	283	8	(	(	PUNCT
ejpam-6229	283	9	3	3	NUM
ejpam-6229	283	10	)	)	PUNCT
ejpam-6229	283	11	(	(	PUNCT
ejpam-6229	283	12	2025	2025	NUM
ejpam-6229	283	13	)	)	PUNCT
ejpam-6229	283	14	,	,	PUNCT
ejpam-6229	283	15	6229	6229	NUM
ejpam-6229	283	16	13	13	NUM
ejpam-6229	283	17	of	of	ADP
ejpam-6229	283	18	16	16	NUM
ejpam-6229	283	19	(	(	PUNCT
ejpam-6229	283	20	c1	c1	PROPN
ejpam-6229	283	21	,	,	PUNCT
ejpam-6229	283	22	c2	c2	PROPN
ejpam-6229	283	23	)	)	PUNCT
ejpam-6229	283	24	=	=	PUNCT
ejpam-6229	283	25	(	(	PUNCT
ejpam-6229	283	26	12	12	NUM
ejpam-6229	283	27	,	,	PUNCT
ejpam-6229	283	28	1	1	NUM
ejpam-6229	283	29	)	)	PUNCT
ejpam-6229	283	30	(	(	PUNCT
ejpam-6229	283	31	c1	c1	PROPN
ejpam-6229	283	32	,	,	PUNCT
ejpam-6229	283	33	c2	c2	PROPN
ejpam-6229	283	34	)	)	PUNCT
ejpam-6229	283	35	=	=	PUNCT
ejpam-6229	283	36	(	(	PUNCT
ejpam-6229	283	37	12	12	NUM
ejpam-6229	283	38	,	,	PUNCT
ejpam-6229	283	39	1	1	NUM
ejpam-6229	283	40	)	)	PUNCT
ejpam-6229	283	41	(	(	PUNCT
ejpam-6229	283	42	c1	c1	PROPN
ejpam-6229	283	43	,	,	PUNCT
ejpam-6229	283	44	c2	c2	PROPN
ejpam-6229	283	45	)	)	PUNCT
ejpam-6229	283	46	=	=	PUNCT
ejpam-6229	284	1	(	(	PUNCT
ejpam-6229	284	2	12	12	NUM
ejpam-6229	284	3	,	,	PUNCT
ejpam-6229	284	4	1	1	NUM
ejpam-6229	284	5	)	)	PUNCT
ejpam-6229	284	6	n	n	PRON
ejpam-6229	284	7	1	1	NUM
ejpam-6229	284	8	-	-	NUM
ejpam-6229	284	9	sm	sm	NOUN
ejpam-6229	284	10	[	[	X
ejpam-6229	284	11	13	13	NUM
ejpam-6229	284	12	]	]	PUNCT
ejpam-6229	284	13	msm	msm	NOUN
ejpam-6229	284	14	[	[	X
ejpam-6229	284	15	14	14	NUM
ejpam-6229	284	16	]	]	SYM
ejpam-6229	284	17	nmsm	nmsm	NOUN
ejpam-6229	284	18	4	4	NUM
ejpam-6229	284	19	5.20×	5.20×	NUM
ejpam-6229	284	20	10−6	10−6	NUM
ejpam-6229	284	21	5.58×	5.58×	NUM
ejpam-6229	284	22	10−10	10−10	NUM
ejpam-6229	284	23	1.30×	1.30×	NUM
ejpam-6229	284	24	10−11	10−11	NOUN
ejpam-6229	284	25	8	8	NUM
ejpam-6229	284	26	1.30×	1.30×	NUM
ejpam-6229	284	27	10−6	10−6	NUM
ejpam-6229	285	1	6.52×	6.52×	NUM
ejpam-6229	285	2	10−11	10−11	NUM
ejpam-6229	285	3	2.29×	2.29×	NUM
ejpam-6229	285	4	10−13	10−13	NUM
ejpam-6229	285	5	16	16	NUM
ejpam-6229	286	1	3.25×	3.25×	NUM
ejpam-6229	286	2	10−7	10−7	NUM
ejpam-6229	287	1	5.34×	5.34×	NUM
ejpam-6229	287	2	10−12	10−12	NOUN
ejpam-6229	287	3	4.21×	4.21×	NUM
ejpam-6229	287	4	10−15	10−15	NUM
ejpam-6229	287	5	order	order	NOUN
ejpam-6229	287	6	2.00	2.00	NUM
ejpam-6229	287	7	3.60	3.60	NUM
ejpam-6229	287	8	5.76	5.76	NUM
ejpam-6229	287	9	table	table	NOUN
ejpam-6229	287	10	1	1	NUM
ejpam-6229	287	11	:	:	PUNCT
ejpam-6229	287	12	numerical	numerical	ADJ
ejpam-6229	287	13	report	report	NOUN
ejpam-6229	287	14	for	for	ADP
ejpam-6229	287	15	example	example	NOUN
ejpam-6229	287	16	1	1	NUM
ejpam-6229	287	17	.	.	PUNCT
ejpam-6229	287	18	(	(	PUNCT
ejpam-6229	287	19	c1	c1	PROPN
ejpam-6229	287	20	,	,	PUNCT
ejpam-6229	287	21	c2	c2	PROPN
ejpam-6229	287	22	)	)	PUNCT
ejpam-6229	287	23	=	=	PUNCT
ejpam-6229	287	24	(	(	PUNCT
ejpam-6229	287	25	12	12	NUM
ejpam-6229	287	26	,	,	PUNCT
ejpam-6229	287	27	1	1	NUM
ejpam-6229	287	28	)	)	PUNCT
ejpam-6229	287	29	(	(	PUNCT
ejpam-6229	287	30	c1	c1	PROPN
ejpam-6229	287	31	,	,	PUNCT
ejpam-6229	287	32	c2	c2	PROPN
ejpam-6229	287	33	)	)	PUNCT
ejpam-6229	287	34	=	=	PUNCT
ejpam-6229	287	35	(	(	PUNCT
ejpam-6229	287	36	12	12	NUM
ejpam-6229	287	37	,	,	PUNCT
ejpam-6229	287	38	1	1	NUM
ejpam-6229	287	39	)	)	PUNCT
ejpam-6229	287	40	(	(	PUNCT
ejpam-6229	287	41	c1	c1	PROPN
ejpam-6229	287	42	,	,	PUNCT
ejpam-6229	287	43	c2	c2	PROPN
ejpam-6229	287	44	)	)	PUNCT
ejpam-6229	287	45	=	=	PUNCT
ejpam-6229	287	46	(	(	PUNCT
ejpam-6229	287	47	12	12	NUM
ejpam-6229	287	48	,	,	PUNCT
ejpam-6229	287	49	1	1	NUM
ejpam-6229	287	50	)	)	PUNCT
ejpam-6229	287	51	n	n	PRON
ejpam-6229	287	52	1	1	NUM
ejpam-6229	287	53	-	-	NUM
ejpam-6229	287	54	sm	sm	NOUN
ejpam-6229	287	55	[	[	X
ejpam-6229	287	56	13	13	NUM
ejpam-6229	287	57	]	]	PUNCT
ejpam-6229	287	58	msm	msm	NOUN
ejpam-6229	287	59	[	[	X
ejpam-6229	287	60	14	14	NUM
ejpam-6229	287	61	]	]	SYM
ejpam-6229	287	62	nmsm	nmsm	NOUN
ejpam-6229	287	63	4	4	NUM
ejpam-6229	287	64	1.70×	1.70×	NUM
ejpam-6229	287	65	10−5	10−5	NUM
ejpam-6229	287	66	2.04×	2.04×	NUM
ejpam-6229	287	67	10−9	10−9	NUM
ejpam-6229	287	68	1.77×	1.77×	NUM
ejpam-6229	287	69	10−10	10−10	NUM
ejpam-6229	287	70	8	8	NUM
ejpam-6229	287	71	4.18×	4.18×	NUM
ejpam-6229	287	72	10−6	10−6	NUM
ejpam-6229	287	73	4.21×	4.21×	NUM
ejpam-6229	287	74	10−10	10−10	NUM
ejpam-6229	287	75	9.04×	9.04×	NUM
ejpam-6229	287	76	10−12	10−12	NOUN
ejpam-6229	287	77	16	16	NUM
ejpam-6229	287	78	1.03×	1.03×	NUM
ejpam-6229	287	79	10−6	10−6	NUM
ejpam-6229	287	80	4.82×	4.82×	NUM
ejpam-6229	287	81	10−11	10−11	NUM
ejpam-6229	287	82	1.82×	1.82×	NUM
ejpam-6229	287	83	10−13	10−13	NUM
ejpam-6229	287	84	order	order	NOUN
ejpam-6229	287	85	2.01	2.01	NUM
ejpam-6229	287	86	3.12	3.12	NUM
ejpam-6229	287	87	5.62	5.62	NUM
ejpam-6229	287	88	table	table	NOUN
ejpam-6229	287	89	2	2	NUM
ejpam-6229	287	90	:	:	PUNCT
ejpam-6229	287	91	numerical	numerical	ADJ
ejpam-6229	287	92	report	report	NOUN
ejpam-6229	287	93	for	for	ADP
ejpam-6229	287	94	example	example	NOUN
ejpam-6229	287	95	2	2	NUM
ejpam-6229	287	96	.	.	PUNCT
ejpam-6229	288	1	new	new	ADJ
ejpam-6229	288	2	multi	multi	ADJ
ejpam-6229	288	3	-	-	ADJ
ejpam-6229	288	4	step	step	ADJ
ejpam-6229	288	5	scheme	scheme	NOUN
ejpam-6229	288	6	with	with	ADP
ejpam-6229	288	7	n	n	NOUN
ejpam-6229	288	8	=	=	SYM
ejpam-6229	288	9	16	16	NUM
ejpam-6229	288	10	.	.	PUNCT
ejpam-6229	289	1	as	as	SCONJ
ejpam-6229	289	2	can	can	AUX
ejpam-6229	289	3	be	be	AUX
ejpam-6229	289	4	seen	see	VERB
ejpam-6229	289	5	,	,	PUNCT
ejpam-6229	289	6	the	the	DET
ejpam-6229	289	7	accuracy	accuracy	NOUN
ejpam-6229	289	8	of	of	ADP
ejpam-6229	289	9	the	the	DET
ejpam-6229	289	10	numerical	numerical	ADJ
ejpam-6229	289	11	results	result	NOUN
ejpam-6229	289	12	obtained	obtain	VERB
ejpam-6229	289	13	by	by	ADP
ejpam-6229	289	14	the	the	DET
ejpam-6229	289	15	new	new	ADJ
ejpam-6229	289	16	multi	multi	ADJ
ejpam-6229	289	17	-	-	ADJ
ejpam-6229	289	18	step	step	ADJ
ejpam-6229	289	19	method	method	NOUN
ejpam-6229	289	20	is	be	AUX
ejpam-6229	289	21	higher	high	ADJ
ejpam-6229	289	22	than	than	ADP
ejpam-6229	289	23	the	the	DET
ejpam-6229	289	24	other	other	ADJ
ejpam-6229	289	25	ones	one	NOUN
ejpam-6229	289	26	.	.	PUNCT
ejpam-6229	289	27	example	example	NOUN
ejpam-6229	290	1	1	1	NUM
ejpam-6229	290	2	.	.	PUNCT
ejpam-6229	291	1	[	[	X
ejpam-6229	291	2	13	13	NUM
ejpam-6229	291	3	]	]	PUNCT
ejpam-6229	291	4	take	take	VERB
ejpam-6229	291	5	for	for	ADP
ejpam-6229	291	6	the	the	DET
ejpam-6229	291	7	equation	equation	NOUN
ejpam-6229	291	8	(	(	PUNCT
ejpam-6229	291	9	1	1	NUM
ejpam-6229	291	10	)	)	PUNCT
ejpam-6229	291	11	with	with	ADP
ejpam-6229	291	12	t	t	NOUN
ejpam-6229	291	13	=	=	SYM
ejpam-6229	291	14	1	1	NUM
ejpam-6229	291	15	,	,	PUNCT
ejpam-6229	291	16	as	as	ADP
ejpam-6229	291	17	x(t	x(t	PROPN
ejpam-6229	291	18	)	)	PUNCT
ejpam-6229	291	19	=	=	SYM
ejpam-6229	291	20	f(t	f(t	NOUN
ejpam-6229	291	21	)	)	PUNCT
ejpam-6229	292	1	+	+	CCONJ
ejpam-6229	292	2	∫	∫	PROPN
ejpam-6229	292	3	t	t	PROPN
ejpam-6229	292	4	0	0	NUM
ejpam-6229	292	5	s+	s+	PUNCT
ejpam-6229	292	6	t+	t+	X
ejpam-6229	292	7	5	5	NUM
ejpam-6229	292	8	(	(	PUNCT
ejpam-6229	292	9	2s+	2s+	NUM
ejpam-6229	292	10	4t+	4t+	NUM
ejpam-6229	292	11	10)(x2(t	10)(x2(t	NUM
ejpam-6229	292	12	)	)	PUNCT
ejpam-6229	293	1	+	+	CCONJ
ejpam-6229	293	2	1	1	NUM
ejpam-6229	293	3	+	+	NUM
ejpam-6229	293	4	x2(s	x2(s	NOUN
ejpam-6229	293	5	)	)	PUNCT
ejpam-6229	293	6	)	)	PUNCT
ejpam-6229	294	1	ds	ds	PROPN
ejpam-6229	294	2	,	,	PUNCT
ejpam-6229	294	3	whose	whose	DET
ejpam-6229	294	4	exact	exact	ADJ
ejpam-6229	294	5	solution	solution	NOUN
ejpam-6229	294	6	is	be	AUX
ejpam-6229	294	7	x(t	x(t	PROPN
ejpam-6229	294	8	)	)	PUNCT
ejpam-6229	294	9	=	=	PUNCT
ejpam-6229	295	1	√	√	NUM
ejpam-6229	295	2	2	2	NUM
ejpam-6229	295	3	+	+	NUM
ejpam-6229	295	4	t	t	NOUN
ejpam-6229	295	5	and	and	CCONJ
ejpam-6229	295	6	f(t	f(t	NOUN
ejpam-6229	295	7	)	)	PUNCT
ejpam-6229	296	1	=	=	SYM
ejpam-6229	296	2	(	(	PUNCT
ejpam-6229	296	3	2	2	NUM
ejpam-6229	296	4	+	+	NUM
ejpam-6229	296	5	t	t	NOUN
ejpam-6229	296	6	)	)	PUNCT
ejpam-6229	296	7	1	1	NUM
ejpam-6229	296	8	2	2	NUM
ejpam-6229	296	9	−	−	NOUN
ejpam-6229	296	10	ln	ln	ADJ
ejpam-6229	296	11	(	(	PUNCT
ejpam-6229	296	12	5	5	NUM
ejpam-6229	296	13	+	+	SYM
ejpam-6229	296	14	3	3	NUM
ejpam-6229	296	15	t	t	NOUN
ejpam-6229	296	16	5	5	NUM
ejpam-6229	296	17	+	+	SYM
ejpam-6229	296	18	2	2	NUM
ejpam-6229	296	19	t	t	NOUN
ejpam-6229	296	20	)	)	PUNCT
ejpam-6229	296	21	1	1	NUM
ejpam-6229	296	22	2	2	NUM
ejpam-6229	296	23	.	.	PUNCT
ejpam-6229	296	24	example	example	NOUN
ejpam-6229	297	1	2	2	NUM
ejpam-6229	297	2	.	.	PUNCT
ejpam-6229	298	1	[	[	X
ejpam-6229	298	2	13]take	13]take	NUM
ejpam-6229	298	3	for	for	ADP
ejpam-6229	298	4	the	the	DET
ejpam-6229	298	5	equation	equation	NOUN
ejpam-6229	298	6	(	(	PUNCT
ejpam-6229	298	7	1	1	NUM
ejpam-6229	298	8	)	)	PUNCT
ejpam-6229	298	9	for	for	ADP
ejpam-6229	298	10	0	0	NUM
ejpam-6229	298	11	≤	≤	NOUN
ejpam-6229	298	12	t	t	NOUN
ejpam-6229	298	13	≤	≤	NUM
ejpam-6229	298	14	1	1	NUM
ejpam-6229	298	15	,	,	PUNCT
ejpam-6229	298	16	as	as	ADP
ejpam-6229	298	17	x(t	x(t	PROPN
ejpam-6229	298	18	)	)	PUNCT
ejpam-6229	298	19	=	=	PUNCT
ejpam-6229	299	1	(	(	PUNCT
ejpam-6229	299	2	1	1	NUM
ejpam-6229	299	3	+	+	NUM
ejpam-6229	299	4	t	t	NOUN
ejpam-6229	299	5	)	)	PUNCT
ejpam-6229	299	6	1	1	NUM
ejpam-6229	299	7	2	2	NUM
ejpam-6229	299	8	−	−	NOUN
ejpam-6229	299	9	1	1	NUM
ejpam-6229	299	10	2	2	NUM
ejpam-6229	299	11	exp(−(t+	exp(−(t+	NOUN
ejpam-6229	299	12	2	2	NUM
ejpam-6229	299	13	t	t	NOUN
ejpam-6229	299	14	)	)	PUNCT
ejpam-6229	299	15	)	)	PUNCT
ejpam-6229	300	1	+	+	CCONJ
ejpam-6229	300	2	1	1	NUM
ejpam-6229	300	3	2	2	NUM
ejpam-6229	300	4	exp(−2(t+	exp(−2(t+	NOUN
ejpam-6229	300	5	1	1	NUM
ejpam-6229	300	6	)	)	PUNCT
ejpam-6229	300	7	)	)	PUNCT
ejpam-6229	301	1	+	+	CCONJ
ejpam-6229	301	2	∫	∫	PROPN
ejpam-6229	301	3	t	t	NOUN
ejpam-6229	301	4	0	0	NUM
ejpam-6229	301	5	1	1	NUM
ejpam-6229	301	6	2	2	NUM
ejpam-6229	301	7	exp	exp	NOUN
ejpam-6229	301	8	(	(	PUNCT
ejpam-6229	301	9	−	−	PROPN
ejpam-6229	301	10	(	(	PUNCT
ejpam-6229	301	11	y2(t	y2(t	PROPN
ejpam-6229	301	12	)	)	PUNCT
ejpam-6229	301	13	+	+	NUM
ejpam-6229	301	14	y2(s	y2(s	NOUN
ejpam-6229	301	15	)	)	PUNCT
ejpam-6229	301	16	)	)	PUNCT
ejpam-6229	301	17	)	)	PUNCT
ejpam-6229	302	1	ds	ds	PROPN
ejpam-6229	302	2	,	,	PUNCT
ejpam-6229	302	3	whose	whose	DET
ejpam-6229	302	4	exact	exact	ADJ
ejpam-6229	302	5	solution	solution	NOUN
ejpam-6229	302	6	is	be	AUX
ejpam-6229	302	7	x(t	x(t	PROPN
ejpam-6229	302	8	)	)	PUNCT
ejpam-6229	302	9	=	=	PUNCT
ejpam-6229	302	10	(	(	PUNCT
ejpam-6229	302	11	1	1	NUM
ejpam-6229	302	12	+	+	NUM
ejpam-6229	302	13	t	t	NOUN
ejpam-6229	302	14	)	)	PUNCT
ejpam-6229	302	15	1	1	NUM
ejpam-6229	302	16	2	2	NUM
ejpam-6229	302	17	.	.	PUNCT
ejpam-6229	303	1	5	5	X
ejpam-6229	303	2	.	.	X
ejpam-6229	303	3	conclusion	conclusion	NOUN
ejpam-6229	303	4	in	in	ADP
ejpam-6229	303	5	this	this	DET
ejpam-6229	303	6	paper	paper	NOUN
ejpam-6229	303	7	,	,	PUNCT
ejpam-6229	303	8	we	we	PRON
ejpam-6229	303	9	studied	study	VERB
ejpam-6229	303	10	nmsm	nmsm	NOUN
ejpam-6229	303	11	to	to	PART
ejpam-6229	303	12	solve	solve	VERB
ejpam-6229	303	13	the	the	DET
ejpam-6229	303	14	nonstandard	nonstandard	ADJ
ejpam-6229	303	15	volterra	volterra	NOUN
ejpam-6229	303	16	integral	integral	ADJ
ejpam-6229	303	17	equation	equation	NOUN
ejpam-6229	303	18	,	,	PUNCT
ejpam-6229	303	19	numerically	numerically	ADV
ejpam-6229	303	20	.	.	PUNCT
ejpam-6229	304	1	we	we	PRON
ejpam-6229	304	2	have	have	AUX
ejpam-6229	304	3	displayed	display	VERB
ejpam-6229	304	4	that	that	SCONJ
ejpam-6229	304	5	this	this	DET
ejpam-6229	304	6	collocation	collocation	NOUN
ejpam-6229	304	7	approach	approach	NOUN
ejpam-6229	304	8	yields	yield	VERB
ejpam-6229	304	9	an	an	DET
ejpam-6229	304	10	effective	effective	ADJ
ejpam-6229	304	11	and	and	CCONJ
ejpam-6229	304	12	very	very	ADV
ejpam-6229	304	13	h.	h.	PROPN
ejpam-6229	304	14	a.	a.	NOUN
ejpam-6229	304	15	thabbah	thabbah	PROPN
ejpam-6229	304	16	,	,	PUNCT
ejpam-6229	304	17	s.	s.	PROPN
ejpam-6229	304	18	pishbin	pishbin	PROPN
ejpam-6229	304	19	,	,	PUNCT
ejpam-6229	304	20	p.	p.	NOUN
ejpam-6229	304	21	darania	darania	PROPN
ejpam-6229	304	22	/	/	SYM
ejpam-6229	304	23	eur	eur	PROPN
ejpam-6229	304	24	.	.	PUNCT
ejpam-6229	305	1	j.	j.	PROPN
ejpam-6229	305	2	pure	pure	PROPN
ejpam-6229	305	3	appl	appl	PROPN
ejpam-6229	305	4	.	.	PROPN
ejpam-6229	305	5	math	math	PROPN
ejpam-6229	305	6	,	,	PUNCT
ejpam-6229	305	7	18	18	NUM
ejpam-6229	305	8	(	(	PUNCT
ejpam-6229	305	9	3	3	NUM
ejpam-6229	305	10	)	)	PUNCT
ejpam-6229	305	11	(	(	PUNCT
ejpam-6229	305	12	2025	2025	NUM
ejpam-6229	305	13	)	)	PUNCT
ejpam-6229	305	14	,	,	PUNCT
ejpam-6229	305	15	6229	6229	NUM
ejpam-6229	305	16	14	14	NUM
ejpam-6229	305	17	of	of	ADP
ejpam-6229	305	18	16	16	NUM
ejpam-6229	305	19	0.2	0.2	NUM
ejpam-6229	305	20	0.4	0.4	NUM
ejpam-6229	305	21	0.6	0.6	NUM
ejpam-6229	305	22	0.8	0.8	NUM
ejpam-6229	305	23	1.0	1.0	NUM
ejpam-6229	305	24	-20	-20	NUM
ejpam-6229	305	25	-15	-15	PUNCT
ejpam-6229	305	26	-10	-10	PUNCT
ejpam-6229	306	1	-5	-5	INTJ
ejpam-6229	306	2	t	t	NOUN
ejpam-6229	307	1	l	l	NOUN
ejpam-6229	307	2	o	o	X
ejpam-6229	307	3	g	g	NOUN
ejpam-6229	307	4	1	1	NUM
ejpam-6229	307	5	0	0	NUM
ejpam-6229	308	1	(	(	PUNCT
ejpam-6229	308	2	e	e	X
ejpam-6229	308	3	rr	rr	NOUN
ejpam-6229	308	4	o	o	X
ejpam-6229	308	5	r	r	NOUN
ejpam-6229	308	6	)	)	PUNCT
ejpam-6229	308	7	:	:	PUNCT
ejpam-6229	308	8	new	new	ADJ
ejpam-6229	308	9	multi	multi	ADJ
ejpam-6229	308	10	-	-	NOUN
ejpam-6229	308	11	step	step	NOUN
ejpam-6229	308	12	:	:	PUNCT
ejpam-6229	308	13	multi	multi	ADJ
ejpam-6229	308	14	-	-	NOUN
ejpam-6229	308	15	step	step	NOUN
ejpam-6229	308	16	:	:	PUNCT
ejpam-6229	308	17	one	one	NUM
ejpam-6229	308	18	-	-	PUNCT
ejpam-6229	308	19	step	step	NOUN
ejpam-6229	308	20	0.2	0.2	NUM
ejpam-6229	308	21	0.4	0.4	NUM
ejpam-6229	308	22	0.6	0.6	NUM
ejpam-6229	308	23	0.8	0.8	NUM
ejpam-6229	308	24	1.0	1.0	NUM
ejpam-6229	308	25	-16	-16	NUM
ejpam-6229	308	26	-14	-14	PUNCT
ejpam-6229	308	27	-12	-12	PROPN
ejpam-6229	308	28	-10	-10	PUNCT
ejpam-6229	309	1	-8	-8	INTJ
ejpam-6229	310	1	-6	-6	INTJ
ejpam-6229	310	2	-4	-4	INTJ
ejpam-6229	311	1	-2	-2	INTJ
ejpam-6229	312	1	t	t	NOUN
ejpam-6229	312	2	l	l	NOUN
ejpam-6229	313	1	o	o	X
ejpam-6229	313	2	g	g	NOUN
ejpam-6229	313	3	1	1	NUM
ejpam-6229	313	4	0	0	NUM
ejpam-6229	314	1	(	(	PUNCT
ejpam-6229	314	2	e	e	X
ejpam-6229	314	3	rr	rr	NOUN
ejpam-6229	314	4	o	o	X
ejpam-6229	314	5	r	r	NOUN
ejpam-6229	314	6	)	)	PUNCT
ejpam-6229	314	7	:	:	PUNCT
ejpam-6229	314	8	new	new	ADJ
ejpam-6229	314	9	multi	multi	ADJ
ejpam-6229	314	10	-	-	NOUN
ejpam-6229	314	11	step	step	NOUN
ejpam-6229	314	12	:	:	PUNCT
ejpam-6229	314	13	multi	multi	ADJ
ejpam-6229	314	14	-	-	NOUN
ejpam-6229	314	15	step	step	NOUN
ejpam-6229	314	16	:	:	PUNCT
ejpam-6229	314	17	one	one	NUM
ejpam-6229	314	18	-	-	PUNCT
ejpam-6229	314	19	step	step	NOUN
ejpam-6229	314	20	figure	figure	NOUN
ejpam-6229	314	21	1	1	NUM
ejpam-6229	314	22	:	:	PUNCT
ejpam-6229	314	23	plot	plot	NOUN
ejpam-6229	314	24	of	of	ADP
ejpam-6229	314	25	error	error	NOUN
ejpam-6229	314	26	functions	function	NOUN
ejpam-6229	314	27	for	for	ADP
ejpam-6229	314	28	the	the	DET
ejpam-6229	314	29	one	one	NUM
ejpam-6229	314	30	-	-	PUNCT
ejpam-6229	314	31	step	step	NOUN
ejpam-6229	314	32	,	,	PUNCT
ejpam-6229	314	33	muti	muti	NOUN
ejpam-6229	314	34	-	-	PUNCT
ejpam-6229	314	35	step	step	NOUN
ejpam-6229	314	36	and	and	CCONJ
ejpam-6229	314	37	new	new	ADJ
ejpam-6229	314	38	multi	multi	ADJ
ejpam-6229	314	39	-	-	ADJ
ejpam-6229	314	40	step	step	ADJ
ejpam-6229	314	41	scheme	scheme	NOUN
ejpam-6229	314	42	with	with	ADP
ejpam-6229	314	43	n	n	NOUN
ejpam-6229	314	44	=	=	SYM
ejpam-6229	314	45	16	16	NUM
ejpam-6229	314	46	,	,	PUNCT
ejpam-6229	314	47	c1	c1	PROPN
ejpam-6229	314	48	=	=	SYM
ejpam-6229	314	49	.5	.5	PROPN
ejpam-6229	314	50	,	,	PUNCT
ejpam-6229	314	51	c2	c2	PROPN
ejpam-6229	314	52	=	=	PUNCT
ejpam-6229	314	53	1	1	NUM
ejpam-6229	314	54	in	in	ADP
ejpam-6229	314	55	example	example	NOUN
ejpam-6229	314	56	1	1	NUM
ejpam-6229	314	57	(	(	PUNCT
ejpam-6229	314	58	left	leave	VERB
ejpam-6229	314	59	)	)	PUNCT
ejpam-6229	314	60	.	.	PUNCT
ejpam-6229	315	1	plot	plot	NOUN
ejpam-6229	315	2	of	of	ADP
ejpam-6229	315	3	error	error	NOUN
ejpam-6229	315	4	functions	function	NOUN
ejpam-6229	315	5	related	relate	VERB
ejpam-6229	315	6	for	for	ADP
ejpam-6229	315	7	the	the	DET
ejpam-6229	315	8	one	one	NUM
ejpam-6229	315	9	-	-	PUNCT
ejpam-6229	315	10	step	step	NOUN
ejpam-6229	315	11	,	,	PUNCT
ejpam-6229	315	12	muti	muti	NOUN
ejpam-6229	315	13	-	-	PUNCT
ejpam-6229	315	14	step	step	NOUN
ejpam-6229	315	15	and	and	CCONJ
ejpam-6229	315	16	new	new	ADJ
ejpam-6229	315	17	multi	multi	ADJ
ejpam-6229	315	18	-	-	ADJ
ejpam-6229	315	19	step	step	ADJ
ejpam-6229	315	20	scheme	scheme	NOUN
ejpam-6229	315	21	with	with	ADP
ejpam-6229	315	22	n	n	NOUN
ejpam-6229	315	23	=	=	SYM
ejpam-6229	315	24	16	16	NUM
ejpam-6229	315	25	,	,	PUNCT
ejpam-6229	315	26	c1	c1	NOUN
ejpam-6229	315	27	=	=	NOUN
ejpam-6229	315	28	1	1	NUM
ejpam-6229	315	29	3	3	NUM
ejpam-6229	315	30	,	,	PUNCT
ejpam-6229	315	31	c2	c2	PROPN
ejpam-6229	315	32	=	=	PROPN
ejpam-6229	315	33	7	7	NUM
ejpam-6229	315	34	8	8	NUM
ejpam-6229	315	35	in	in	ADP
ejpam-6229	315	36	example	example	NOUN
ejpam-6229	315	37	1	1	NUM
ejpam-6229	315	38	(	(	PUNCT
ejpam-6229	315	39	right	right	NOUN
ejpam-6229	315	40	)	)	PUNCT
ejpam-6229	315	41	.	.	PUNCT
ejpam-6229	316	1	(	(	PUNCT
ejpam-6229	316	2	c1	c1	PROPN
ejpam-6229	316	3	,	,	PUNCT
ejpam-6229	316	4	c2	c2	PROPN
ejpam-6229	316	5	)	)	PUNCT
ejpam-6229	316	6	=	=	PUNCT
ejpam-6229	316	7	(	(	PUNCT
ejpam-6229	316	8	13	13	NUM
ejpam-6229	316	9	,	,	PUNCT
ejpam-6229	316	10	7	7	NUM
ejpam-6229	316	11	8)	8)	NUM
ejpam-6229	316	12	(	(	PUNCT
ejpam-6229	316	13	c1	c1	PROPN
ejpam-6229	316	14	,	,	PUNCT
ejpam-6229	316	15	c2	c2	PROPN
ejpam-6229	316	16	)	)	PUNCT
ejpam-6229	316	17	=	=	PUNCT
ejpam-6229	316	18	(	(	PUNCT
ejpam-6229	316	19	13	13	NUM
ejpam-6229	316	20	,	,	PUNCT
ejpam-6229	316	21	7	7	NUM
ejpam-6229	316	22	8)	8)	NUM
ejpam-6229	316	23	(	(	PUNCT
ejpam-6229	316	24	c1	c1	PROPN
ejpam-6229	316	25	,	,	PUNCT
ejpam-6229	316	26	c2	c2	PROPN
ejpam-6229	316	27	)	)	PUNCT
ejpam-6229	316	28	=	=	PUNCT
ejpam-6229	316	29	(	(	PUNCT
ejpam-6229	316	30	13	13	NUM
ejpam-6229	316	31	,	,	PUNCT
ejpam-6229	316	32	7	7	NUM
ejpam-6229	316	33	8)	8)	NUM
ejpam-6229	316	34	n	n	PRON
ejpam-6229	316	35	1	1	NUM
ejpam-6229	316	36	-	-	NUM
ejpam-6229	316	37	sm	sm	NOUN
ejpam-6229	316	38	[	[	X
ejpam-6229	316	39	13	13	NUM
ejpam-6229	316	40	]	]	PUNCT
ejpam-6229	316	41	msm	msm	NOUN
ejpam-6229	316	42	[	[	X
ejpam-6229	316	43	14	14	NUM
ejpam-6229	316	44	]	]	SYM
ejpam-6229	316	45	nmsm	nmsm	NOUN
ejpam-6229	316	46	4	4	NUM
ejpam-6229	316	47	2.01×	2.01×	NUM
ejpam-6229	316	48	10−4	10−4	NUM
ejpam-6229	316	49	1.23×	1.23×	NUM
ejpam-6229	316	50	10−6	10−6	NUM
ejpam-6229	316	51	1.97×	1.97×	NUM
ejpam-6229	316	52	10−9	10−9	NUM
ejpam-6229	316	53	8	8	NUM
ejpam-6229	316	54	5.37×	5.37×	NUM
ejpam-6229	316	55	10−5	10−5	NUM
ejpam-6229	316	56	1.37×	1.37×	NUM
ejpam-6229	316	57	10−7	10−7	NUM
ejpam-6229	316	58	4.95×	4.95×	NUM
ejpam-6229	316	59	10−11	10−11	NUM
ejpam-6229	316	60	16	16	NUM
ejpam-6229	316	61	1.38×	1.38×	NUM
ejpam-6229	316	62	10−5	10−5	NUM
ejpam-6229	316	63	1.13×	1.13×	NUM
ejpam-6229	316	64	10−8	10−8	NUM
ejpam-6229	316	65	1.00×	1.00×	NUM
ejpam-6229	316	66	10−12	10−12	NOUN
ejpam-6229	316	67	order	order	NOUN
ejpam-6229	316	68	1.95	1.95	NUM
ejpam-6229	316	69	3.52	3.52	NUM
ejpam-6229	316	70	5.62	5.62	NUM
ejpam-6229	316	71	table	table	NOUN
ejpam-6229	316	72	3	3	NUM
ejpam-6229	316	73	:	:	PUNCT
ejpam-6229	316	74	numerical	numerical	ADJ
ejpam-6229	316	75	report	report	NOUN
ejpam-6229	316	76	for	for	ADP
ejpam-6229	316	77	example	example	NOUN
ejpam-6229	316	78	1	1	NUM
ejpam-6229	316	79	.	.	NOUN
ejpam-6229	316	80	0.2	0.2	NUM
ejpam-6229	316	81	0.4	0.4	NUM
ejpam-6229	316	82	0.6	0.6	NUM
ejpam-6229	316	83	0.8	0.8	NUM
ejpam-6229	316	84	1.0	1.0	NUM
ejpam-6229	316	85	-20	-20	NUM
ejpam-6229	316	86	-15	-15	PUNCT
ejpam-6229	316	87	-10	-10	PUNCT
ejpam-6229	317	1	-5	-5	INTJ
ejpam-6229	317	2	t	t	NOUN
ejpam-6229	318	1	l	l	NOUN
ejpam-6229	318	2	o	o	X
ejpam-6229	318	3	g	g	NOUN
ejpam-6229	318	4	1	1	NUM
ejpam-6229	318	5	0	0	NUM
ejpam-6229	319	1	(	(	PUNCT
ejpam-6229	319	2	e	e	X
ejpam-6229	319	3	rr	rr	NOUN
ejpam-6229	319	4	o	o	X
ejpam-6229	319	5	r	r	NOUN
ejpam-6229	319	6	)	)	PUNCT
ejpam-6229	319	7	:	:	PUNCT
ejpam-6229	319	8	new	new	ADJ
ejpam-6229	319	9	multi	multi	ADJ
ejpam-6229	319	10	-	-	NOUN
ejpam-6229	319	11	step	step	NOUN
ejpam-6229	319	12	:	:	PUNCT
ejpam-6229	319	13	multi	multi	ADJ
ejpam-6229	319	14	-	-	NOUN
ejpam-6229	319	15	step	step	NOUN
ejpam-6229	319	16	:	:	PUNCT
ejpam-6229	319	17	one	one	NUM
ejpam-6229	319	18	-	-	PUNCT
ejpam-6229	319	19	step	step	NOUN
ejpam-6229	319	20	0.2	0.2	NUM
ejpam-6229	319	21	0.4	0.4	NUM
ejpam-6229	319	22	0.6	0.6	NUM
ejpam-6229	319	23	0.8	0.8	NUM
ejpam-6229	319	24	1.0	1.0	NUM
ejpam-6229	319	25	-16	-16	NUM
ejpam-6229	319	26	-14	-14	PUNCT
ejpam-6229	319	27	-12	-12	PROPN
ejpam-6229	319	28	-10	-10	PUNCT
ejpam-6229	320	1	-8	-8	INTJ
ejpam-6229	321	1	-6	-6	INTJ
ejpam-6229	321	2	-4	-4	INTJ
ejpam-6229	322	1	-2	-2	INTJ
ejpam-6229	323	1	t	t	NOUN
ejpam-6229	323	2	l	l	NOUN
ejpam-6229	324	1	o	o	X
ejpam-6229	324	2	g	g	NOUN
ejpam-6229	324	3	1	1	NUM
ejpam-6229	324	4	0	0	NUM
ejpam-6229	325	1	(	(	PUNCT
ejpam-6229	325	2	e	e	X
ejpam-6229	325	3	rr	rr	NOUN
ejpam-6229	325	4	o	o	X
ejpam-6229	325	5	r	r	NOUN
ejpam-6229	325	6	)	)	PUNCT
ejpam-6229	325	7	:	:	PUNCT
ejpam-6229	325	8	new	new	ADJ
ejpam-6229	325	9	multi	multi	ADJ
ejpam-6229	325	10	-	-	NOUN
ejpam-6229	325	11	step	step	NOUN
ejpam-6229	325	12	:	:	PUNCT
ejpam-6229	325	13	multi	multi	ADJ
ejpam-6229	325	14	-	-	NOUN
ejpam-6229	325	15	step	step	NOUN
ejpam-6229	325	16	:	:	PUNCT
ejpam-6229	325	17	one	one	NUM
ejpam-6229	325	18	-	-	PUNCT
ejpam-6229	325	19	step	step	NOUN
ejpam-6229	325	20	figure	figure	NOUN
ejpam-6229	325	21	2	2	NUM
ejpam-6229	325	22	:	:	PUNCT
ejpam-6229	325	23	plot	plot	NOUN
ejpam-6229	325	24	of	of	ADP
ejpam-6229	325	25	error	error	NOUN
ejpam-6229	325	26	functions	function	NOUN
ejpam-6229	325	27	for	for	ADP
ejpam-6229	325	28	the	the	DET
ejpam-6229	325	29	one	one	NUM
ejpam-6229	325	30	-	-	PUNCT
ejpam-6229	325	31	step	step	NOUN
ejpam-6229	325	32	,	,	PUNCT
ejpam-6229	325	33	muti	muti	NOUN
ejpam-6229	325	34	-	-	PUNCT
ejpam-6229	325	35	step	step	NOUN
ejpam-6229	325	36	and	and	CCONJ
ejpam-6229	325	37	new	new	ADJ
ejpam-6229	325	38	multi	multi	ADJ
ejpam-6229	325	39	-	-	ADJ
ejpam-6229	325	40	step	step	ADJ
ejpam-6229	325	41	scheme	scheme	NOUN
ejpam-6229	325	42	with	with	ADP
ejpam-6229	325	43	n	n	NOUN
ejpam-6229	325	44	=	=	SYM
ejpam-6229	325	45	16	16	NUM
ejpam-6229	325	46	,	,	PUNCT
ejpam-6229	325	47	c1	c1	NOUN
ejpam-6229	325	48	=	=	PROPN
ejpam-6229	325	49	0.5	0.5	NUM
ejpam-6229	325	50	and	and	CCONJ
ejpam-6229	325	51	c2	c2	PROPN
ejpam-6229	325	52	=	=	PUNCT
ejpam-6229	325	53	1	1	NUM
ejpam-6229	325	54	in	in	ADP
ejpam-6229	325	55	example	example	NOUN
ejpam-6229	325	56	2	2	NUM
ejpam-6229	325	57	(	(	PUNCT
ejpam-6229	325	58	left	leave	VERB
ejpam-6229	325	59	)	)	PUNCT
ejpam-6229	325	60	.	.	PUNCT
ejpam-6229	326	1	plot	plot	NOUN
ejpam-6229	326	2	of	of	ADP
ejpam-6229	326	3	error	error	NOUN
ejpam-6229	326	4	functions	function	NOUN
ejpam-6229	326	5	related	relate	VERB
ejpam-6229	326	6	for	for	ADP
ejpam-6229	326	7	the	the	DET
ejpam-6229	326	8	one	one	NUM
ejpam-6229	326	9	-	-	PUNCT
ejpam-6229	326	10	step	step	NOUN
ejpam-6229	326	11	,	,	PUNCT
ejpam-6229	326	12	muti	muti	NOUN
ejpam-6229	326	13	-	-	PUNCT
ejpam-6229	326	14	step	step	NOUN
ejpam-6229	326	15	and	and	CCONJ
ejpam-6229	326	16	new	new	ADJ
ejpam-6229	326	17	multi	multi	ADJ
ejpam-6229	326	18	-	-	ADJ
ejpam-6229	326	19	step	step	ADJ
ejpam-6229	326	20	scheme	scheme	NOUN
ejpam-6229	326	21	with	with	ADP
ejpam-6229	326	22	n	n	NOUN
ejpam-6229	326	23	=	=	SYM
ejpam-6229	326	24	16	16	NUM
ejpam-6229	326	25	,	,	PUNCT
ejpam-6229	326	26	c1	c1	NOUN
ejpam-6229	326	27	=	=	NOUN
ejpam-6229	326	28	1	1	NUM
ejpam-6229	326	29	3	3	NUM
ejpam-6229	326	30	and	and	CCONJ
ejpam-6229	326	31	c2	c2	PROPN
ejpam-6229	326	32	=	=	PROPN
ejpam-6229	326	33	7	7	NUM
ejpam-6229	326	34	8	8	NUM
ejpam-6229	326	35	in	in	ADP
ejpam-6229	326	36	example	example	NOUN
ejpam-6229	326	37	2	2	NUM
ejpam-6229	326	38	(	(	PUNCT
ejpam-6229	326	39	right	right	NOUN
ejpam-6229	326	40	)	)	PUNCT
ejpam-6229	326	41	.	.	PUNCT
ejpam-6229	327	1	h.	h.	PROPN
ejpam-6229	327	2	a.	a.	PROPN
ejpam-6229	327	3	thabbah	thabbah	PROPN
ejpam-6229	327	4	,	,	PUNCT
ejpam-6229	327	5	s.	s.	PROPN
ejpam-6229	327	6	pishbin	pishbin	PROPN
ejpam-6229	327	7	,	,	PUNCT
ejpam-6229	327	8	p.	p.	NOUN
ejpam-6229	327	9	darania	darania	PROPN
ejpam-6229	327	10	/	/	SYM
ejpam-6229	327	11	eur	eur	PROPN
ejpam-6229	327	12	.	.	PUNCT
ejpam-6229	328	1	j.	j.	PROPN
ejpam-6229	328	2	pure	pure	PROPN
ejpam-6229	328	3	appl	appl	PROPN
ejpam-6229	328	4	.	.	PROPN
ejpam-6229	328	5	math	math	PROPN
ejpam-6229	328	6	,	,	PUNCT
ejpam-6229	328	7	18	18	NUM
ejpam-6229	328	8	(	(	PUNCT
ejpam-6229	328	9	3	3	NUM
ejpam-6229	328	10	)	)	PUNCT
ejpam-6229	328	11	(	(	PUNCT
ejpam-6229	328	12	2025	2025	NUM
ejpam-6229	328	13	)	)	PUNCT
ejpam-6229	328	14	,	,	PUNCT
ejpam-6229	328	15	6229	6229	NUM
ejpam-6229	328	16	15	15	NUM
ejpam-6229	328	17	of	of	ADP
ejpam-6229	328	18	16	16	NUM
ejpam-6229	328	19	(	(	PUNCT
ejpam-6229	328	20	c1	c1	PROPN
ejpam-6229	328	21	,	,	PUNCT
ejpam-6229	328	22	c2	c2	PROPN
ejpam-6229	328	23	)	)	PUNCT
ejpam-6229	328	24	=	=	PUNCT
ejpam-6229	328	25	(	(	PUNCT
ejpam-6229	328	26	13	13	NUM
ejpam-6229	328	27	,	,	PUNCT
ejpam-6229	328	28	7	7	NUM
ejpam-6229	328	29	8)	8)	NUM
ejpam-6229	328	30	(	(	PUNCT
ejpam-6229	328	31	c1	c1	PROPN
ejpam-6229	328	32	,	,	PUNCT
ejpam-6229	328	33	c2	c2	PROPN
ejpam-6229	328	34	)	)	PUNCT
ejpam-6229	328	35	=	=	PUNCT
ejpam-6229	328	36	(	(	PUNCT
ejpam-6229	328	37	13	13	NUM
ejpam-6229	328	38	,	,	PUNCT
ejpam-6229	328	39	7	7	NUM
ejpam-6229	328	40	8)	8)	NUM
ejpam-6229	328	41	(	(	PUNCT
ejpam-6229	328	42	c1	c1	PROPN
ejpam-6229	328	43	,	,	PUNCT
ejpam-6229	328	44	c2	c2	PROPN
ejpam-6229	328	45	)	)	PUNCT
ejpam-6229	328	46	=	=	PUNCT
ejpam-6229	328	47	(	(	PUNCT
ejpam-6229	328	48	13	13	NUM
ejpam-6229	328	49	,	,	PUNCT
ejpam-6229	328	50	7	7	NUM
ejpam-6229	328	51	8)	8)	NUM
ejpam-6229	328	52	n	n	PRON
ejpam-6229	328	53	1	1	NUM
ejpam-6229	328	54	-	-	NUM
ejpam-6229	328	55	sm	sm	NOUN
ejpam-6229	329	1	[	[	X
ejpam-6229	329	2	13	13	NUM
ejpam-6229	329	3	]	]	PUNCT
ejpam-6229	329	4	msm	msm	NOUN
ejpam-6229	329	5	[	[	X
ejpam-6229	329	6	14	14	NUM
ejpam-6229	329	7	]	]	SYM
ejpam-6229	329	8	nmsm	nmsm	NOUN
ejpam-6229	329	9	4	4	NUM
ejpam-6229	329	10	5.04×	5.04×	NUM
ejpam-6229	329	11	10−4	10−4	NUM
ejpam-6229	329	12	6.36×	6.36×	NUM
ejpam-6229	329	13	10−6	10−6	NUM
ejpam-6229	329	14	3.92×	3.92×	NUM
ejpam-6229	329	15	10−8	10−8	NUM
ejpam-6229	329	16	8	8	NUM
ejpam-6229	329	17	1.42×	1.42×	NUM
ejpam-6229	329	18	10−4	10−4	NUM
ejpam-6229	329	19	8.73×	8.73×	NUM
ejpam-6229	329	20	10−7	10−7	NUM
ejpam-6229	329	21	1.39×	1.39×	NUM
ejpam-6229	329	22	10−9	10−9	NUM
ejpam-6229	329	23	16	16	NUM
ejpam-6229	329	24	3.80×	3.80×	NUM
ejpam-6229	329	25	10−5	10−5	NUM
ejpam-6229	329	26	9.21×	9.21×	NUM
ejpam-6229	329	27	10−8	10−8	NUM
ejpam-6229	329	28	1.39×	1.39×	NUM
ejpam-6229	329	29	10−11	10−11	NOUN
ejpam-6229	329	30	order	order	VERB
ejpam-6229	329	31	1.90	1.90	NUM
ejpam-6229	329	32	3.25	3.25	NUM
ejpam-6229	329	33	5.31	5.31	NUM
ejpam-6229	329	34	table	table	NOUN
ejpam-6229	329	35	4	4	NUM
ejpam-6229	329	36	:	:	PUNCT
ejpam-6229	329	37	numerical	numerical	ADJ
ejpam-6229	329	38	report	report	NOUN
ejpam-6229	329	39	for	for	ADP
ejpam-6229	329	40	example	example	NOUN
ejpam-6229	329	41	2	2	NUM
ejpam-6229	329	42	.	.	PUNCT
ejpam-6229	329	43	accurate	accurate	ADJ
ejpam-6229	329	44	numerical	numerical	ADJ
ejpam-6229	329	45	method	method	NOUN
ejpam-6229	329	46	for	for	SCONJ
ejpam-6229	329	47	the	the	DET
ejpam-6229	329	48	approximation	approximation	NOUN
ejpam-6229	329	49	of	of	ADP
ejpam-6229	329	50	solutions	solution	NOUN
ejpam-6229	329	51	to	to	PART
ejpam-6229	329	52	nvie	nvie	VERB
ejpam-6229	329	53	.	.	PUNCT
ejpam-6229	330	1	the	the	DET
ejpam-6229	330	2	proposed	propose	VERB
ejpam-6229	330	3	scheme	scheme	NOUN
ejpam-6229	330	4	exhibited	exhibit	VERB
ejpam-6229	330	5	satisfactory	satisfactory	ADJ
ejpam-6229	330	6	global	global	ADJ
ejpam-6229	330	7	convergence	convergence	NOUN
ejpam-6229	330	8	,	,	PUNCT
ejpam-6229	330	9	with	with	ADP
ejpam-6229	330	10	the	the	DET
ejpam-6229	330	11	observation	observation	NOUN
ejpam-6229	330	12	that	that	SCONJ
ejpam-6229	330	13	the	the	DET
ejpam-6229	330	14	convergence	convergence	NOUN
ejpam-6229	330	15	orders	order	NOUN
ejpam-6229	330	16	were	be	AUX
ejpam-6229	330	17	primarily	primarily	ADV
ejpam-6229	330	18	influenced	influence	VERB
ejpam-6229	330	19	by	by	ADP
ejpam-6229	330	20	the	the	DET
ejpam-6229	330	21	collocation	collocation	NOUN
ejpam-6229	330	22	parameter	parameter	NOUN
ejpam-6229	330	23	and	and	CCONJ
ejpam-6229	330	24	the	the	DET
ejpam-6229	330	25	conditions	condition	NOUN
ejpam-6229	330	26	for	for	ADP
ejpam-6229	330	27	ρ(ã	ρ(ã	PROPN
ejpam-6229	330	28	)	)	PUNCT
ejpam-6229	330	29	.	.	PUNCT
ejpam-6229	331	1	references	reference	NOUN
ejpam-6229	331	2	[	[	X
ejpam-6229	331	3	1	1	NUM
ejpam-6229	331	4	]	]	PUNCT
ejpam-6229	331	5	m.	m.	NOUN
ejpam-6229	331	6	bohner	bohner	NOUN
ejpam-6229	331	7	and	and	CCONJ
ejpam-6229	331	8	a.	a.	PROPN
ejpam-6229	331	9	peterson	peterson	PROPN
ejpam-6229	331	10	.	.	PROPN
ejpam-6229	332	1	advances	advance	NOUN
ejpam-6229	332	2	in	in	ADP
ejpam-6229	332	3	dynamic	dynamic	ADJ
ejpam-6229	332	4	equations	equation	NOUN
ejpam-6229	332	5	on	on	ADP
ejpam-6229	332	6	time	time	NOUN
ejpam-6229	332	7	scales	scale	NOUN
ejpam-6229	332	8	.	.	PUNCT
ejpam-6229	333	1	birkhäuser	birkhäuser	NOUN
ejpam-6229	333	2	,	,	PUNCT
ejpam-6229	333	3	boston	boston	PROPN
ejpam-6229	333	4	,	,	PUNCT
ejpam-6229	333	5	ma	ma	PROPN
ejpam-6229	333	6	,	,	PUNCT
ejpam-6229	333	7	2003	2003	NUM
ejpam-6229	333	8	.	.	PUNCT
ejpam-6229	334	1	[	[	X
ejpam-6229	334	2	2	2	NUM
ejpam-6229	334	3	]	]	X
ejpam-6229	334	4	f.	f.	PROPN
ejpam-6229	334	5	brauer	brauer	PROPN
ejpam-6229	334	6	and	and	CCONJ
ejpam-6229	334	7	c.	c.	PROPN
ejpam-6229	334	8	castillo	castillo	PROPN
ejpam-6229	334	9	-	-	PUNCT
ejpam-6229	334	10	chavez	chavez	PROPN
ejpam-6229	334	11	.	.	PUNCT
ejpam-6229	335	1	mathematical	mathematical	ADJ
ejpam-6229	335	2	models	model	NOUN
ejpam-6229	335	3	in	in	ADP
ejpam-6229	335	4	population	population	NOUN
ejpam-6229	335	5	biology	biology	NOUN
ejpam-6229	335	6	and	and	CCONJ
ejpam-6229	335	7	epidemiology	epidemiology	NOUN
ejpam-6229	335	8	,	,	PUNCT
ejpam-6229	335	9	volume	volume	NOUN
ejpam-6229	335	10	40	40	NUM
ejpam-6229	335	11	of	of	ADP
ejpam-6229	335	12	texts	text	NOUN
ejpam-6229	335	13	in	in	ADP
ejpam-6229	335	14	applied	applied	ADJ
ejpam-6229	335	15	mathematics	mathematic	NOUN
ejpam-6229	335	16	.	.	PUNCT
ejpam-6229	336	1	springer	springer	NOUN
ejpam-6229	336	2	,	,	PUNCT
ejpam-6229	336	3	new	new	PROPN
ejpam-6229	336	4	york	york	PROPN
ejpam-6229	336	5	,	,	PUNCT
ejpam-6229	336	6	2001	2001	NUM
ejpam-6229	336	7	.	.	PUNCT
ejpam-6229	337	1	[	[	X
ejpam-6229	337	2	3	3	X
ejpam-6229	337	3	]	]	X
ejpam-6229	337	4	d.	d.	PROPN
ejpam-6229	337	5	b.	b.	PROPN
ejpam-6229	337	6	pachpatte	pachpatte	PROPN
ejpam-6229	337	7	.	.	PUNCT
ejpam-6229	338	1	properties	property	NOUN
ejpam-6229	338	2	of	of	ADP
ejpam-6229	338	3	solutions	solution	NOUN
ejpam-6229	338	4	to	to	PART
ejpam-6229	338	5	nonlinear	nonlinear	ADJ
ejpam-6229	338	6	dynamic	dynamic	ADJ
ejpam-6229	338	7	integral	integral	ADJ
ejpam-6229	338	8	equations	equation	NOUN
ejpam-6229	338	9	on	on	ADP
ejpam-6229	338	10	time	time	NOUN
ejpam-6229	338	11	scales	scale	NOUN
ejpam-6229	338	12	.	.	PUNCT
ejpam-6229	339	1	electronic	electronic	ADJ
ejpam-6229	339	2	journal	journal	NOUN
ejpam-6229	339	3	of	of	ADP
ejpam-6229	339	4	differential	differential	ADJ
ejpam-6229	339	5	equations	equation	NOUN
ejpam-6229	339	6	,	,	PUNCT
ejpam-6229	339	7	136:1–8	136:1–8	NUM
ejpam-6229	339	8	,	,	PUNCT
ejpam-6229	339	9	2008	2008	NUM
ejpam-6229	339	10	.	.	PUNCT
ejpam-6229	340	1	[	[	X
ejpam-6229	340	2	4	4	X
ejpam-6229	340	3	]	]	X
ejpam-6229	340	4	d.	d.	PROPN
ejpam-6229	340	5	b.	b.	PROPN
ejpam-6229	340	6	pachpatte	pachpatte	PROPN
ejpam-6229	340	7	.	.	PUNCT
ejpam-6229	341	1	on	on	ADP
ejpam-6229	341	2	a	a	DET
ejpam-6229	341	3	nonstandard	nonstandard	ADJ
ejpam-6229	341	4	volterra	volterra	NOUN
ejpam-6229	341	5	type	type	NOUN
ejpam-6229	341	6	dynamic	dynamic	ADJ
ejpam-6229	341	7	integral	integral	ADJ
ejpam-6229	341	8	equation	equation	NOUN
ejpam-6229	341	9	on	on	ADP
ejpam-6229	341	10	time	time	NOUN
ejpam-6229	341	11	scales	scale	NOUN
ejpam-6229	341	12	.	.	PUNCT
ejpam-6229	342	1	electronic	electronic	ADJ
ejpam-6229	342	2	journal	journal	NOUN
ejpam-6229	342	3	of	of	ADP
ejpam-6229	342	4	qualitative	qualitative	ADJ
ejpam-6229	342	5	theory	theory	NOUN
ejpam-6229	342	6	of	of	ADP
ejpam-6229	342	7	differential	differential	ADJ
ejpam-6229	342	8	equations	equation	NOUN
ejpam-6229	342	9	,	,	PUNCT
ejpam-6229	342	10	72:1–14	72:1–14	NUM
ejpam-6229	342	11	,	,	PUNCT
ejpam-6229	342	12	2009	2009	NUM
ejpam-6229	342	13	.	.	PUNCT
ejpam-6229	343	1	[	[	X
ejpam-6229	343	2	5	5	NUM
ejpam-6229	343	3	]	]	PUNCT
ejpam-6229	343	4	c.	c.	PROPN
ejpam-6229	343	5	c.	c.	PROPN
ejpam-6229	343	6	tisdell	tisdell	PROPN
ejpam-6229	343	7	and	and	CCONJ
ejpam-6229	343	8	a.	a.	NOUN
ejpam-6229	343	9	zaidi	zaidi	PROPN
ejpam-6229	343	10	.	.	PUNCT
ejpam-6229	344	1	basic	basic	ADJ
ejpam-6229	344	2	qualitative	qualitative	NOUN
ejpam-6229	344	3	and	and	CCONJ
ejpam-6229	344	4	quantitative	quantitative	ADJ
ejpam-6229	344	5	results	result	NOUN
ejpam-6229	344	6	for	for	ADP
ejpam-6229	344	7	solutions	solution	NOUN
ejpam-6229	344	8	to	to	ADP
ejpam-6229	344	9	nonlinear	nonlinear	ADJ
ejpam-6229	344	10	,	,	PUNCT
ejpam-6229	344	11	dynamic	dynamic	ADJ
ejpam-6229	344	12	equations	equation	NOUN
ejpam-6229	344	13	on	on	ADP
ejpam-6229	344	14	time	time	NOUN
ejpam-6229	344	15	scales	scale	VERB
ejpam-6229	344	16	with	with	ADP
ejpam-6229	344	17	an	an	DET
ejpam-6229	344	18	application	application	NOUN
ejpam-6229	344	19	to	to	ADP
ejpam-6229	344	20	economic	economic	ADJ
ejpam-6229	344	21	modelling	modelling	NOUN
ejpam-6229	344	22	.	.	PUNCT
ejpam-6229	345	1	nonlinear	nonlinear	ADJ
ejpam-6229	345	2	analysis	analysis	NOUN
ejpam-6229	345	3	,	,	PUNCT
ejpam-6229	345	4	68:3504–3524	68:3504–3524	NUM
ejpam-6229	345	5	,	,	PUNCT
ejpam-6229	345	6	2008	2008	NUM
ejpam-6229	345	7	.	.	PUNCT
ejpam-6229	346	1	[	[	X
ejpam-6229	346	2	6	6	NUM
ejpam-6229	346	3	]	]	PUNCT
ejpam-6229	346	4	p.	p.	NOUN
ejpam-6229	346	5	darania	darania	PROPN
ejpam-6229	346	6	,	,	PUNCT
ejpam-6229	346	7	s.	s.	PROPN
ejpam-6229	346	8	pishbin	pishbin	PROPN
ejpam-6229	346	9	,	,	PUNCT
ejpam-6229	346	10	and	and	CCONJ
ejpam-6229	346	11	a.	a.	NOUN
ejpam-6229	346	12	ebadi	ebadi	NOUN
ejpam-6229	346	13	.	.	PUNCT
ejpam-6229	347	1	convergence	convergence	NOUN
ejpam-6229	347	2	analysis	analysis	NOUN
ejpam-6229	347	3	of	of	ADP
ejpam-6229	347	4	multi	multi	ADJ
ejpam-6229	347	5	-	-	ADJ
ejpam-6229	347	6	step	step	ADJ
ejpam-6229	347	7	collocation	collocation	NOUN
ejpam-6229	347	8	methods	method	NOUN
ejpam-6229	347	9	to	to	PART
ejpam-6229	347	10	solve	solve	VERB
ejpam-6229	347	11	generalized	generalized	ADJ
ejpam-6229	347	12	auto	auto	NOUN
ejpam-6229	347	13	-	-	PUNCT
ejpam-6229	347	14	convolution	convolution	NOUN
ejpam-6229	347	15	volterra	volterra	NOUN
ejpam-6229	347	16	integral	integral	ADJ
ejpam-6229	347	17	equations	equation	NOUN
ejpam-6229	347	18	.	.	PUNCT
ejpam-6229	348	1	numerical	numerical	ADJ
ejpam-6229	348	2	analysis	analysis	NOUN
ejpam-6229	348	3	and	and	CCONJ
ejpam-6229	348	4	applications	application	NOUN
ejpam-6229	348	5	,	,	PUNCT
ejpam-6229	348	6	16(2):123–134	16(2):123–134	NUM
ejpam-6229	348	7	,	,	PUNCT
ejpam-6229	348	8	2023	2023	NUM
ejpam-6229	348	9	.	.	PUNCT
ejpam-6229	349	1	[	[	X
ejpam-6229	349	2	7	7	X
ejpam-6229	349	3	]	]	X
ejpam-6229	349	4	u.	u.	NOUN
ejpam-6229	349	5	kosel	kosel	PROPN
ejpam-6229	349	6	and	and	CCONJ
ejpam-6229	349	7	l.	l.	PROPN
ejpam-6229	349	8	von	von	PROPN
ejpam-6229	349	9	wolfersdorf	wolfersdorf	PROPN
ejpam-6229	349	10	.	.	PUNCT
ejpam-6229	349	11	nichtlineare	nichtlineare	PROPN
ejpam-6229	349	12	integralgleichungen	integralgleichungen	PROPN
ejpam-6229	349	13	.	.	PUNCT
ejpam-6229	350	1	in	in	ADP
ejpam-6229	350	2	seminar	seminar	NOUN
ejpam-6229	350	3	analysis	analysis	NOUN
ejpam-6229	350	4	,	,	PUNCT
ejpam-6229	350	5	pages	page	NOUN
ejpam-6229	350	6	93–128	93–128	PROPN
ejpam-6229	350	7	,	,	PUNCT
ejpam-6229	350	8	berlin	berlin	PROPN
ejpam-6229	350	9	,	,	PUNCT
ejpam-6229	350	10	akademie	akademie	PROPN
ejpam-6229	350	11	der	der	PROPN
ejpam-6229	350	12	wissenschaften	wissenschaften	VERB
ejpam-6229	350	13	der	der	PROPN
ejpam-6229	350	14	ddr	ddr	PROPN
ejpam-6229	350	15	,	,	PUNCT
ejpam-6229	350	16	1986	1986	NUM
ejpam-6229	350	17	.	.	PUNCT
ejpam-6229	351	1	karlweierstrass	karlweierstrass	NOUN
ejpam-6229	351	2	-	-	PUNCT
ejpam-6229	351	3	institut	institut	PROPN
ejpam-6229	351	4	für	für	PROPN
ejpam-6229	351	5	mathematik	mathematik	PROPN
ejpam-6229	351	6	.	.	PUNCT
ejpam-6229	352	1	[	[	X
ejpam-6229	352	2	8	8	NUM
ejpam-6229	352	3	]	]	PUNCT
ejpam-6229	352	4	l.	l.	PROPN
ejpam-6229	352	5	liu	liu	PROPN
ejpam-6229	352	6	and	and	CCONJ
ejpam-6229	352	7	j.	j.	PROPN
ejpam-6229	352	8	ma	ma	PROPN
ejpam-6229	352	9	.	.	PROPN
ejpam-6229	352	10	collocation	collocation	PROPN
ejpam-6229	352	11	boundary	boundary	ADJ
ejpam-6229	352	12	value	value	NOUN
ejpam-6229	352	13	methods	method	NOUN
ejpam-6229	352	14	for	for	ADP
ejpam-6229	352	15	auto	auto	NOUN
ejpam-6229	352	16	-	-	PUNCT
ejpam-6229	352	17	convolution	convolution	NOUN
ejpam-6229	352	18	volterra	volterra	NOUN
ejpam-6229	352	19	integral	integral	ADJ
ejpam-6229	352	20	equations	equation	NOUN
ejpam-6229	352	21	.	.	PUNCT
ejpam-6229	353	1	applied	apply	VERB
ejpam-6229	353	2	numerical	numerical	ADJ
ejpam-6229	353	3	mathematics	mathematic	NOUN
ejpam-6229	353	4	,	,	PUNCT
ejpam-6229	353	5	177:1–17	177:1–17	NUM
ejpam-6229	353	6	,	,	PUNCT
ejpam-6229	353	7	2022	2022	NUM
ejpam-6229	353	8	.	.	PUNCT
ejpam-6229	354	1	[	[	X
ejpam-6229	354	2	9	9	NUM
ejpam-6229	354	3	]	]	PUNCT
ejpam-6229	354	4	l.	l.	PROPN
ejpam-6229	354	5	von	von	PROPN
ejpam-6229	354	6	wolfersdorf	wolfersdorf	PROPN
ejpam-6229	354	7	.	.	PUNCT
ejpam-6229	355	1	einige	einige	PROPN
ejpam-6229	355	2	klassen	klassen	PROPN
ejpam-6229	355	3	quadratischer	quadratischer	ADP
ejpam-6229	355	4	integralgleichungen	integralgleichungen	PROPN
ejpam-6229	355	5	.	.	PUNCT
ejpam-6229	356	1	sitzungsberichte	sitzungsberichte	PROPN
ejpam-6229	356	2	der	der	PROPN
ejpam-6229	356	3	sächsischen	sächsischen	PROPN
ejpam-6229	356	4	akademie	akademie	PROPN
ejpam-6229	356	5	der	der	PROPN
ejpam-6229	356	6	wissenschaften	wissenschaften	VERB
ejpam-6229	356	7	zu	zu	PROPN
ejpam-6229	356	8	leipzig	leipzig	PROPN
ejpam-6229	356	9	,	,	PUNCT
ejpam-6229	356	10	mathematischnaturwissenschaftliche	mathematischnaturwissenschaftliche	PROPN
ejpam-6229	356	11	klasse	klasse	PROPN
ejpam-6229	356	12	,	,	PUNCT
ejpam-6229	356	13	128(2):1–34	128(2):1–34	PROPN
ejpam-6229	356	14	,	,	PUNCT
ejpam-6229	356	15	2000	2000	NUM
ejpam-6229	356	16	.	.	PUNCT
ejpam-6229	357	1	[	[	X
ejpam-6229	357	2	10	10	NUM
ejpam-6229	357	3	]	]	X
ejpam-6229	357	4	l.	l.	PROPN
ejpam-6229	357	5	von	von	PROPN
ejpam-6229	357	6	wolfersdorf	wolfersdorf	PROPN
ejpam-6229	357	7	.	.	PUNCT
ejpam-6229	358	1	autoconvolution	autoconvolution	NOUN
ejpam-6229	358	2	equations	equation	NOUN
ejpam-6229	358	3	and	and	CCONJ
ejpam-6229	358	4	special	special	ADJ
ejpam-6229	358	5	functions	function	NOUN
ejpam-6229	358	6	.	.	PUNCT
ejpam-6229	359	1	integral	integral	ADJ
ejpam-6229	359	2	transforms	transform	NOUN
ejpam-6229	359	3	and	and	CCONJ
ejpam-6229	359	4	special	special	ADJ
ejpam-6229	359	5	functions	function	NOUN
ejpam-6229	359	6	,	,	PUNCT
ejpam-6229	359	7	19:677–686	19:677–686	NUM
ejpam-6229	359	8	,	,	PUNCT
ejpam-6229	359	9	2008	2008	NUM
ejpam-6229	359	10	.	.	PUNCT
ejpam-6229	360	1	h.	h.	PROPN
ejpam-6229	360	2	a.	a.	PROPN
ejpam-6229	360	3	thabbah	thabbah	PROPN
ejpam-6229	360	4	,	,	PUNCT
ejpam-6229	360	5	s.	s.	PROPN
ejpam-6229	360	6	pishbin	pishbin	PROPN
ejpam-6229	360	7	,	,	PUNCT
ejpam-6229	360	8	p.	p.	NOUN
ejpam-6229	360	9	darania	darania	PROPN
ejpam-6229	360	10	/	/	SYM
ejpam-6229	360	11	eur	eur	PROPN
ejpam-6229	360	12	.	.	PUNCT
ejpam-6229	361	1	j.	j.	PROPN
ejpam-6229	361	2	pure	pure	PROPN
ejpam-6229	361	3	appl	appl	PROPN
ejpam-6229	361	4	.	.	PROPN
ejpam-6229	361	5	math	math	PROPN
ejpam-6229	361	6	,	,	PUNCT
ejpam-6229	361	7	18	18	NUM
ejpam-6229	361	8	(	(	PUNCT
ejpam-6229	361	9	3	3	NUM
ejpam-6229	361	10	)	)	PUNCT
ejpam-6229	361	11	(	(	PUNCT
ejpam-6229	361	12	2025	2025	NUM
ejpam-6229	361	13	)	)	PUNCT
ejpam-6229	361	14	,	,	PUNCT
ejpam-6229	361	15	6229	6229	NUM
ejpam-6229	361	16	16	16	NUM
ejpam-6229	361	17	of	of	ADP
ejpam-6229	361	18	16	16	NUM
ejpam-6229	362	1	[	[	X
ejpam-6229	362	2	11	11	NUM
ejpam-6229	362	3	]	]	PUNCT
ejpam-6229	362	4	l.	l.	PROPN
ejpam-6229	362	5	von	von	PROPN
ejpam-6229	362	6	wolfersdorf	wolfersdorf	PROPN
ejpam-6229	362	7	.	.	PUNCT
ejpam-6229	363	1	autoconvolution	autoconvolution	NOUN
ejpam-6229	363	2	equations	equation	NOUN
ejpam-6229	363	3	of	of	ADP
ejpam-6229	363	4	the	the	DET
ejpam-6229	363	5	third	third	ADJ
ejpam-6229	363	6	kind	kind	NOUN
ejpam-6229	363	7	with	with	ADP
ejpam-6229	363	8	abel	abel	PROPN
ejpam-6229	363	9	integral	integral	PROPN
ejpam-6229	363	10	.	.	PUNCT
ejpam-6229	364	1	journal	journal	PROPN
ejpam-6229	364	2	of	of	ADP
ejpam-6229	364	3	integral	integral	ADJ
ejpam-6229	364	4	equations	equation	NOUN
ejpam-6229	364	5	and	and	CCONJ
ejpam-6229	364	6	applications	application	NOUN
ejpam-6229	364	7	,	,	PUNCT
ejpam-6229	364	8	23:113–136	23:113–136	NUM
ejpam-6229	364	9	,	,	PUNCT
ejpam-6229	364	10	2011	2011	NUM
ejpam-6229	364	11	.	.	PUNCT
ejpam-6229	365	1	[	[	X
ejpam-6229	365	2	12	12	NUM
ejpam-6229	365	3	]	]	PUNCT
ejpam-6229	365	4	r.	r.	PROPN
ejpam-6229	365	5	zhang	zhang	PROPN
ejpam-6229	365	6	,	,	PUNCT
ejpam-6229	365	7	h.	h.	PROPN
ejpam-6229	365	8	liang	liang	PROPN
ejpam-6229	365	9	,	,	PUNCT
ejpam-6229	365	10	and	and	CCONJ
ejpam-6229	365	11	h.	h.	PROPN
ejpam-6229	365	12	brunner	brunner	PROPN
ejpam-6229	365	13	.	.	PUNCT
ejpam-6229	366	1	analysis	analysis	NOUN
ejpam-6229	366	2	of	of	ADP
ejpam-6229	366	3	collocation	collocation	NOUN
ejpam-6229	366	4	methods	method	NOUN
ejpam-6229	366	5	for	for	ADP
ejpam-6229	366	6	generalized	generalized	ADJ
ejpam-6229	366	7	auto	auto	NOUN
ejpam-6229	366	8	-	-	PUNCT
ejpam-6229	366	9	convolution	convolution	NOUN
ejpam-6229	366	10	volterra	volterra	NOUN
ejpam-6229	366	11	integral	integral	ADJ
ejpam-6229	366	12	equations	equation	NOUN
ejpam-6229	366	13	.	.	PUNCT
ejpam-6229	367	1	siam	siam	PROPN
ejpam-6229	367	2	journal	journal	PROPN
ejpam-6229	367	3	on	on	ADP
ejpam-6229	367	4	numerical	numerical	ADJ
ejpam-6229	367	5	analysis	analysis	NOUN
ejpam-6229	367	6	,	,	PUNCT
ejpam-6229	367	7	54(2):899–920	54(2):899–920	PROPN
ejpam-6229	367	8	,	,	PUNCT
ejpam-6229	367	9	2016	2016	NUM
ejpam-6229	367	10	.	.	PUNCT
ejpam-6229	368	1	[	[	X
ejpam-6229	368	2	13	13	NUM
ejpam-6229	368	3	]	]	PUNCT
ejpam-6229	368	4	q.	q.	PROPN
ejpam-6229	368	5	guan	guan	PROPN
ejpam-6229	368	6	,	,	PUNCT
ejpam-6229	368	7	r.	r.	PROPN
ejpam-6229	368	8	zhang	zhang	PROPN
ejpam-6229	368	9	,	,	PUNCT
ejpam-6229	368	10	and	and	CCONJ
ejpam-6229	368	11	y.	y.	PROPN
ejpam-6229	368	12	zou	zou	PROPN
ejpam-6229	368	13	.	.	PUNCT
ejpam-6229	369	1	analysis	analysis	NOUN
ejpam-6229	369	2	of	of	ADP
ejpam-6229	369	3	collocation	collocation	NOUN
ejpam-6229	369	4	methods	method	NOUN
ejpam-6229	369	5	for	for	ADP
ejpam-6229	369	6	nonstandard	nonstandard	ADJ
ejpam-6229	369	7	volterra	volterra	NOUN
ejpam-6229	369	8	integral	integral	ADJ
ejpam-6229	369	9	equations	equation	NOUN
ejpam-6229	369	10	.	.	PUNCT
ejpam-6229	370	1	i	i	PRON
ejpam-6229	370	2	m	m	VERB
ejpam-6229	370	3	a	a	DET
ejpam-6229	370	4	journal	journal	NOUN
ejpam-6229	370	5	of	of	ADP
ejpam-6229	370	6	numerical	numerical	ADJ
ejpam-6229	370	7	analysis	analysis	NOUN
ejpam-6229	370	8	,	,	PUNCT
ejpam-6229	370	9	32:1755–1785	32:1755–1785	NUM
ejpam-6229	370	10	,	,	PUNCT
ejpam-6229	370	11	2012	2012	NUM
ejpam-6229	370	12	.	.	PUNCT
ejpam-6229	371	1	[	[	X
ejpam-6229	371	2	14	14	NUM
ejpam-6229	371	3	]	]	X
ejpam-6229	371	4	s.	s.	PROPN
ejpam-6229	371	5	pishbin	pishbin	PROPN
ejpam-6229	371	6	and	and	CCONJ
ejpam-6229	371	7	a.	a.	NOUN
ejpam-6229	371	8	ebadi	ebadi	NOUN
ejpam-6229	371	9	.	.	PUNCT
ejpam-6229	372	1	high	high	ADJ
ejpam-6229	372	2	-	-	PUNCT
ejpam-6229	372	3	order	order	NOUN
ejpam-6229	372	4	convergence	convergence	NOUN
ejpam-6229	372	5	of	of	ADP
ejpam-6229	372	6	multistep	multistep	ADJ
ejpam-6229	372	7	collocation	collocation	NOUN
ejpam-6229	372	8	methods	method	NOUN
ejpam-6229	372	9	for	for	ADP
ejpam-6229	372	10	nonstandard	nonstandard	ADJ
ejpam-6229	372	11	volterra	volterra	NOUN
ejpam-6229	372	12	integral	integral	ADJ
ejpam-6229	372	13	equations	equation	NOUN
ejpam-6229	372	14	.	.	PUNCT
ejpam-6229	373	1	international	international	ADJ
ejpam-6229	373	2	journal	journal	PROPN
ejpam-6229	373	3	of	of	ADP
ejpam-6229	373	4	computer	computer	NOUN
ejpam-6229	373	5	mathematics	mathematic	NOUN
ejpam-6229	373	6	,	,	PUNCT
ejpam-6229	373	7	100(4):824–837	100(4):824–837	NUM
ejpam-6229	373	8	,	,	PUNCT
ejpam-6229	373	9	2023	2023	NUM
ejpam-6229	373	10	.	.	PUNCT
ejpam-6229	374	1	[	[	X
ejpam-6229	374	2	15	15	NUM
ejpam-6229	374	3	]	]	X
ejpam-6229	374	4	r.	r.	PROPN
ejpam-6229	374	5	p.	p.	PROPN
ejpam-6229	374	6	agarwal	agarwal	PROPN
ejpam-6229	374	7	,	,	PUNCT
ejpam-6229	374	8	d.	d.	PROPN
ejpam-6229	374	9	o’regan	o’regan	PROPN
ejpam-6229	374	10	,	,	PUNCT
ejpam-6229	374	11	and	and	CCONJ
ejpam-6229	374	12	p.	p.	PROPN
ejpam-6229	374	13	j.	j.	PROPN
ejpam-6229	374	14	y.	y.	PROPN
ejpam-6229	374	15	wong	wong	PROPN
ejpam-6229	374	16	.	.	PUNCT
ejpam-6229	375	1	positive	positive	ADJ
ejpam-6229	375	2	solutions	solution	NOUN
ejpam-6229	375	3	of	of	ADP
ejpam-6229	375	4	differential	differential	ADJ
ejpam-6229	375	5	,	,	PUNCT
ejpam-6229	375	6	difference	difference	NOUN
ejpam-6229	375	7	and	and	CCONJ
ejpam-6229	375	8	integral	integral	ADJ
ejpam-6229	375	9	equations	equation	NOUN
ejpam-6229	375	10	.	.	PUNCT
ejpam-6229	376	1	kluwer	kluwer	PROPN
ejpam-6229	376	2	academic	academic	PROPN
ejpam-6229	376	3	,	,	PUNCT
ejpam-6229	376	4	dordrecht	dordrecht	PROPN
ejpam-6229	376	5	,	,	PUNCT
ejpam-6229	376	6	1999	1999	NUM
ejpam-6229	376	7	.	.	PUNCT
ejpam-6229	377	1	[	[	X
ejpam-6229	377	2	16	16	NUM
ejpam-6229	377	3	]	]	PUNCT
ejpam-6229	377	4	h.	h.	PROPN
ejpam-6229	377	5	brunner	brunner	PROPN
ejpam-6229	377	6	.	.	PUNCT
ejpam-6229	377	7	collocation	collocation	NOUN
ejpam-6229	377	8	methods	method	NOUN
ejpam-6229	377	9	for	for	ADP
ejpam-6229	377	10	volterra	volterra	NOUN
ejpam-6229	377	11	integral	integral	ADJ
ejpam-6229	377	12	and	and	CCONJ
ejpam-6229	377	13	related	related	ADJ
ejpam-6229	377	14	functional	functional	ADJ
ejpam-6229	377	15	differential	differential	NOUN
ejpam-6229	377	16	equations	equation	NOUN
ejpam-6229	377	17	.	.	PUNCT
ejpam-6229	378	1	cambridge	cambridge	PROPN
ejpam-6229	378	2	university	university	PROPN
ejpam-6229	378	3	press	press	PROPN
ejpam-6229	378	4	,	,	PUNCT
ejpam-6229	378	5	cambridge	cambridge	PROPN
ejpam-6229	378	6	,	,	PUNCT
ejpam-6229	378	7	2004	2004	NUM
ejpam-6229	378	8	.	.	PUNCT
ejpam-6229	379	1	[	[	X
ejpam-6229	379	2	17	17	NUM
ejpam-6229	379	3	]	]	PUNCT
ejpam-6229	379	4	t.	t.	PROPN
ejpam-6229	379	5	a.	a.	PROPN
ejpam-6229	379	6	burton	burton	PROPN
ejpam-6229	379	7	.	.	PUNCT
ejpam-6229	380	1	volterra	volterra	PROPN
ejpam-6229	380	2	integral	integral	ADJ
ejpam-6229	380	3	and	and	CCONJ
ejpam-6229	380	4	differential	differential	ADJ
ejpam-6229	380	5	equations	equation	NOUN
ejpam-6229	380	6	.	.	PUNCT
ejpam-6229	381	1	academic	academic	ADJ
ejpam-6229	381	2	press	press	NOUN
ejpam-6229	381	3	,	,	PUNCT
ejpam-6229	381	4	new	new	PROPN
ejpam-6229	381	5	york	york	PROPN
ejpam-6229	381	6	,	,	PUNCT
ejpam-6229	381	7	1983	1983	NUM
ejpam-6229	381	8	.	.	PUNCT
ejpam-6229	382	1	[	[	X
ejpam-6229	382	2	18	18	NUM
ejpam-6229	382	3	]	]	PUNCT
ejpam-6229	382	4	a.	a.	NOUN
ejpam-6229	382	5	j.	j.	PROPN
ejpam-6229	382	6	jerri	jerri	PROPN
ejpam-6229	382	7	.	.	PROPN
ejpam-6229	382	8	introduction	introduction	NOUN
ejpam-6229	382	9	to	to	ADP
ejpam-6229	382	10	integral	integral	ADJ
ejpam-6229	382	11	equations	equation	NOUN
ejpam-6229	382	12	with	with	ADP
ejpam-6229	382	13	applications	application	NOUN
ejpam-6229	382	14	.	.	PUNCT
ejpam-6229	383	1	wiley	wiley	PROPN
ejpam-6229	383	2	-	-	PUNCT
ejpam-6229	383	3	interscience	interscience	PROPN
ejpam-6229	383	4	,	,	PUNCT
ejpam-6229	383	5	new	new	PROPN
ejpam-6229	383	6	york	york	PROPN
ejpam-6229	383	7	,	,	PUNCT
ejpam-6229	383	8	1999	1999	NUM
ejpam-6229	383	9	.	.	PUNCT
ejpam-6229	384	1	[	[	X
ejpam-6229	384	2	19	19	NUM
ejpam-6229	384	3	]	]	X
ejpam-6229	384	4	d.	d.	PROPN
ejpam-6229	384	5	o’regan	o’regan	PROPN
ejpam-6229	384	6	and	and	CCONJ
ejpam-6229	384	7	m.	m.	NOUN
ejpam-6229	384	8	mehhan	mehhan	PROPN
ejpam-6229	384	9	.	.	PUNCT
ejpam-6229	385	1	existence	existence	NOUN
ejpam-6229	385	2	theory	theory	NOUN
ejpam-6229	385	3	for	for	ADP
ejpam-6229	385	4	nonlinear	nonlinear	ADJ
ejpam-6229	385	5	integral	integral	ADJ
ejpam-6229	385	6	and	and	CCONJ
ejpam-6229	385	7	integrodifferential	integrodifferential	ADJ
ejpam-6229	385	8	equations	equation	NOUN
ejpam-6229	385	9	.	.	PUNCT
ejpam-6229	386	1	kluwer	kluwer	PROPN
ejpam-6229	386	2	academic	academic	PROPN
ejpam-6229	386	3	,	,	PUNCT
ejpam-6229	386	4	dordrecht	dordrecht	PROPN
ejpam-6229	386	5	,	,	PUNCT
ejpam-6229	386	6	1998	1998	NUM
ejpam-6229	386	7	.	.	PUNCT
ejpam-6229	387	1	[	[	X
ejpam-6229	387	2	20	20	NUM
ejpam-6229	387	3	]	]	X
ejpam-6229	387	4	g.	g.	PROPN
ejpam-6229	387	5	gripenberg	gripenberg	PROPN
ejpam-6229	387	6	,	,	PUNCT
ejpam-6229	387	7	s.	s.	PROPN
ejpam-6229	387	8	o.	o.	PROPN
ejpam-6229	387	9	londen	londen	PROPN
ejpam-6229	387	10	,	,	PUNCT
ejpam-6229	387	11	and	and	CCONJ
ejpam-6229	387	12	o.	o.	NOUN
ejpam-6229	387	13	staffans	staffan	NOUN
ejpam-6229	387	14	.	.	PUNCT
ejpam-6229	388	1	volterra	volterra	PROPN
ejpam-6229	388	2	integral	integral	ADJ
ejpam-6229	388	3	and	and	CCONJ
ejpam-6229	388	4	functional	functional	ADJ
ejpam-6229	388	5	equations	equation	NOUN
ejpam-6229	388	6	.	.	PUNCT
ejpam-6229	389	1	cambridge	cambridge	PROPN
ejpam-6229	389	2	university	university	PROPN
ejpam-6229	389	3	press	press	PROPN
ejpam-6229	389	4	,	,	PUNCT
ejpam-6229	389	5	cambridge	cambridge	PROPN
ejpam-6229	389	6	,	,	PUNCT
ejpam-6229	389	7	1990	1990	NUM
ejpam-6229	389	8	.	.	PUNCT
ejpam-6229	390	1	[	[	X
ejpam-6229	390	2	21	21	NUM
ejpam-6229	390	3	]	]	X
ejpam-6229	390	4	h.	h.	PROPN
ejpam-6229	390	5	brunner	brunner	PROPN
ejpam-6229	390	6	.	.	PUNCT
ejpam-6229	391	1	volterra	volterra	PROPN
ejpam-6229	391	2	integral	integral	ADJ
ejpam-6229	391	3	equations	equation	NOUN
ejpam-6229	391	4	:	:	PUNCT
ejpam-6229	391	5	an	an	DET
ejpam-6229	391	6	introduction	introduction	NOUN
ejpam-6229	391	7	to	to	ADP
ejpam-6229	391	8	theory	theory	NOUN
ejpam-6229	391	9	and	and	CCONJ
ejpam-6229	391	10	applications	application	NOUN
ejpam-6229	391	11	.	.	PUNCT
ejpam-6229	392	1	cambridge	cambridge	PROPN
ejpam-6229	392	2	university	university	PROPN
ejpam-6229	392	3	press	press	PROPN
ejpam-6229	392	4	,	,	PUNCT
ejpam-6229	392	5	cambridge	cambridge	PROPN
ejpam-6229	392	6	,	,	PUNCT
ejpam-6229	392	7	uk	uk	PROPN
ejpam-6229	392	8	,	,	PUNCT
ejpam-6229	392	9	2017	2017	NUM
ejpam-6229	392	10	.	.	PUNCT
ejpam-6229	393	1	[	[	X
ejpam-6229	393	2	22	22	NUM
ejpam-6229	393	3	]	]	X
ejpam-6229	393	4	f.	f.	PROPN
ejpam-6229	393	5	ghoreishi	ghoreishi	PROPN
ejpam-6229	393	6	and	and	CCONJ
ejpam-6229	393	7	m.	m.	NOUN
ejpam-6229	393	8	hadizadeh	hadizadeh	PROPN
ejpam-6229	393	9	.	.	PUNCT
ejpam-6229	394	1	numerical	numerical	ADJ
ejpam-6229	394	2	computation	computation	NOUN
ejpam-6229	394	3	of	of	ADP
ejpam-6229	394	4	the	the	DET
ejpam-6229	394	5	tau	tau	PROPN
ejpam-6229	394	6	approximation	approximation	NOUN
ejpam-6229	394	7	for	for	ADP
ejpam-6229	394	8	the	the	DET
ejpam-6229	394	9	volterra	volterra	PROPN
ejpam-6229	394	10	-	-	PUNCT
ejpam-6229	394	11	hammerstein	hammerstein	PROPN
ejpam-6229	394	12	integral	integral	ADJ
ejpam-6229	394	13	equations	equation	NOUN
ejpam-6229	394	14	.	.	PUNCT
ejpam-6229	395	1	numerical	numerical	ADJ
ejpam-6229	395	2	algorithms	algorithms	PROPN
ejpam-6229	395	3	,	,	PUNCT
ejpam-6229	395	4	52:541–559	52:541–559	NUM
ejpam-6229	395	5	,	,	PUNCT
ejpam-6229	395	6	2009	2009	NUM
ejpam-6229	395	7	.	.	PUNCT
ejpam-6229	396	1	[	[	X
ejpam-6229	396	2	23	23	NUM
ejpam-6229	396	3	]	]	X
ejpam-6229	396	4	t.	t.	X
ejpam-6229	396	5	apostol	apostol	PROPN
ejpam-6229	396	6	.	.	PUNCT
ejpam-6229	397	1	mathematical	mathematical	ADJ
ejpam-6229	397	2	analysis	analysis	NOUN
ejpam-6229	397	3	.	.	PUNCT
ejpam-6229	398	1	addison	addison	PROPN
ejpam-6229	398	2	-	-	PUNCT
ejpam-6229	398	3	wesley	wesley	PROPN
ejpam-6229	398	4	,	,	PUNCT
ejpam-6229	398	5	reading	reading	NOUN
ejpam-6229	398	6	,	,	PUNCT
ejpam-6229	398	7	ma	ma	PROPN
ejpam-6229	398	8	,	,	PUNCT
ejpam-6229	398	9	1974	1974	NUM
ejpam-6229	398	10	.	.	PUNCT
ejpam-6229	399	1	[	[	X
ejpam-6229	399	2	24	24	NUM
ejpam-6229	399	3	]	]	X
ejpam-6229	399	4	d.	d.	PROPN
ejpam-6229	399	5	conte	conte	PROPN
ejpam-6229	399	6	,	,	PUNCT
ejpam-6229	399	7	z.	z.	PROPN
ejpam-6229	399	8	jackiewicz	jackiewicz	PROPN
ejpam-6229	399	9	,	,	PUNCT
ejpam-6229	399	10	and	and	CCONJ
ejpam-6229	399	11	b.	b.	PROPN
ejpam-6229	399	12	paternoster	paternoster	PROPN
ejpam-6229	399	13	.	.	PUNCT
ejpam-6229	400	1	two	two	NUM
ejpam-6229	400	2	-	-	PUNCT
ejpam-6229	400	3	step	step	NOUN
ejpam-6229	400	4	almost	almost	ADV
ejpam-6229	400	5	collocation	collocation	NOUN
ejpam-6229	400	6	methods	method	NOUN
ejpam-6229	400	7	for	for	ADP
ejpam-6229	400	8	volterra	volterra	NOUN
ejpam-6229	400	9	integral	integral	ADJ
ejpam-6229	400	10	equations	equation	NOUN
ejpam-6229	400	11	.	.	PUNCT
ejpam-6229	401	1	applied	apply	VERB
ejpam-6229	401	2	mathematics	mathematic	NOUN
ejpam-6229	401	3	and	and	CCONJ
ejpam-6229	401	4	computation	computation	NOUN
ejpam-6229	401	5	,	,	PUNCT
ejpam-6229	401	6	204:839–853	204:839–853	NUM
ejpam-6229	401	7	,	,	PUNCT
ejpam-6229	401	8	2008	2008	NUM
ejpam-6229	401	9	.	.	PUNCT
ejpam-6229	402	1	[	[	X
ejpam-6229	402	2	25	25	NUM
ejpam-6229	402	3	]	]	X
ejpam-6229	402	4	s.	s.	PROPN
ejpam-6229	402	5	fazeli	fazeli	PROPN
ejpam-6229	402	6	,	,	PUNCT
ejpam-6229	402	7	g.	g.	PROPN
ejpam-6229	402	8	hojjati	hojjati	PROPN
ejpam-6229	402	9	,	,	PUNCT
ejpam-6229	402	10	and	and	CCONJ
ejpam-6229	402	11	s.	s.	PROPN
ejpam-6229	402	12	shahmorad	shahmorad	PROPN
ejpam-6229	402	13	.	.	PUNCT
ejpam-6229	403	1	super	super	ADJ
ejpam-6229	403	2	implicit	implicit	ADJ
ejpam-6229	403	3	multistep	multistep	ADJ
ejpam-6229	403	4	collocation	collocation	NOUN
ejpam-6229	403	5	methods	method	NOUN
ejpam-6229	403	6	for	for	ADP
ejpam-6229	403	7	nonlinear	nonlinear	PROPN
ejpam-6229	403	8	volterra	volterra	PROPN
ejpam-6229	403	9	integral	integral	ADJ
ejpam-6229	403	10	equations	equation	NOUN
ejpam-6229	403	11	.	.	PUNCT
ejpam-6229	404	1	mathematical	mathematical	ADJ
ejpam-6229	404	2	and	and	CCONJ
ejpam-6229	404	3	computer	computer	NOUN
ejpam-6229	404	4	modelling	modelling	NOUN
ejpam-6229	404	5	,	,	PUNCT
ejpam-6229	404	6	55:590–607	55:590–607	PROPN
ejpam-6229	404	7	,	,	PUNCT
ejpam-6229	404	8	2015	2015	NUM
ejpam-6229	404	9	.	.	PUNCT