id	sid	tid	token	lemma	pos
ejpam-4014	1	1	european	european	PROPN
ejpam-4014	1	2	journal	journal	PROPN
ejpam-4014	1	3	of	of	ADP
ejpam-4014	1	4	pure	pure	ADJ
ejpam-4014	1	5	and	and	CCONJ
ejpam-4014	1	6	applied	apply	VERB
ejpam-4014	1	7	mathematics	mathematic	NOUN
ejpam-4014	1	8	vol	vol	NOUN
ejpam-4014	1	9	.	.	PUNCT
ejpam-4014	2	1	14	14	NUM
ejpam-4014	2	2	,	,	PUNCT
ejpam-4014	2	3	no	no	INTJ
ejpam-4014	2	4	.	.	NOUN
ejpam-4014	2	5	3	3	NUM
ejpam-4014	2	6	,	,	PUNCT
ejpam-4014	2	7	2021	2021	NUM
ejpam-4014	2	8	,	,	PUNCT
ejpam-4014	2	9	1044	1044	NUM
ejpam-4014	2	10	-	-	SYM
ejpam-4014	2	11	1056	1056	NUM
ejpam-4014	2	12	issn	issn	PROPN
ejpam-4014	2	13	1307	1307	NUM
ejpam-4014	2	14	-	-	SYM
ejpam-4014	2	15	5543	5543	NUM
ejpam-4014	2	16	–	–	PUNCT
ejpam-4014	2	17	ejpam.com	ejpam.com	X
ejpam-4014	2	18	published	publish	VERB
ejpam-4014	2	19	by	by	ADP
ejpam-4014	2	20	new	new	PROPN
ejpam-4014	2	21	york	york	PROPN
ejpam-4014	2	22	business	business	PROPN
ejpam-4014	2	23	global	global	ADJ
ejpam-4014	2	24	comparison	comparison	NOUN
ejpam-4014	2	25	of	of	ADP
ejpam-4014	2	26	the	the	DET
ejpam-4014	2	27	adomian	adomian	NOUN
ejpam-4014	2	28	decomposition	decomposition	NOUN
ejpam-4014	2	29	method	method	NOUN
ejpam-4014	2	30	and	and	CCONJ
ejpam-4014	2	31	regular	regular	ADJ
ejpam-4014	2	32	perturbation	perturbation	NOUN
ejpam-4014	2	33	method	method	NOUN
ejpam-4014	2	34	on	on	ADP
ejpam-4014	2	35	non	non	ADJ
ejpam-4014	2	36	linear	linear	PROPN
ejpam-4014	2	37	equations	equation	NOUN
ejpam-4014	2	38	second	second	ADJ
ejpam-4014	2	39	kind	kind	NOUN
ejpam-4014	2	40	of	of	ADP
ejpam-4014	2	41	volterra	volterra	PROPN
ejpam-4014	2	42	rasmane	rasmane	PROPN
ejpam-4014	2	43	yaro1	yaro1	PROPN
ejpam-4014	2	44	,	,	PUNCT
ejpam-4014	2	45	bakari	bakari	PROPN
ejpam-4014	2	46	abbo2	abbo2	PROPN
ejpam-4014	2	47	,	,	PUNCT
ejpam-4014	2	48	bassono	bassono	NOUN
ejpam-4014	2	49	francis3,youssouf	francis3,youssouf	X
ejpam-4014	2	50	paré3,∗	paré3,∗	ADJ
ejpam-4014	2	51	,	,	PUNCT
ejpam-4014	2	52	1	1	NUM
ejpam-4014	2	53	université	université	NOUN
ejpam-4014	2	54	de	de	X
ejpam-4014	2	55	dédougou	dédougou	PROPN
ejpam-4014	2	56	,	,	PUNCT
ejpam-4014	2	57	dédougou	dédougou	PROPN
ejpam-4014	2	58	,	,	PUNCT
ejpam-4014	2	59	burkina	burkina	PROPN
ejpam-4014	2	60	-	-	PUNCT
ejpam-4014	2	61	faso	faso	PROPN
ejpam-4014	2	62	2	2	NUM
ejpam-4014	2	63	université	université	NOUN
ejpam-4014	2	64	de	de	X
ejpam-4014	2	65	ndjaména	ndjaména	NOUN
ejpam-4014	2	66	,	,	PUNCT
ejpam-4014	2	67	ndjaména	ndjaména	ADV
ejpam-4014	2	68	,	,	PUNCT
ejpam-4014	2	69	tchad	tchad	VERB
ejpam-4014	2	70	3université	3université	NUM
ejpam-4014	2	71	joseph	joseph	PROPN
ejpam-4014	2	72	ki	ki	PROPN
ejpam-4014	2	73	-	-	PUNCT
ejpam-4014	2	74	zerbo	zerbo	PROPN
ejpam-4014	2	75	,	,	PUNCT
ejpam-4014	2	76	ouagadougou	ouagadougou	PROPN
ejpam-4014	2	77	,	,	PUNCT
ejpam-4014	2	78	burkina	burkina	PROPN
ejpam-4014	2	79	-	-	PUNCT
ejpam-4014	2	80	faso	faso	PROPN
ejpam-4014	2	81	abstract	abstract	NOUN
ejpam-4014	2	82	.	.	PUNCT
ejpam-4014	3	1	in	in	ADP
ejpam-4014	3	2	this	this	DET
ejpam-4014	3	3	paper	paper	NOUN
ejpam-4014	3	4	,	,	PUNCT
ejpam-4014	3	5	we	we	PRON
ejpam-4014	3	6	study	study	VERB
ejpam-4014	3	7	convergence	convergence	NOUN
ejpam-4014	3	8	of	of	ADP
ejpam-4014	3	9	adomian	adomian	ADJ
ejpam-4014	3	10	decomposition	decomposition	NOUN
ejpam-4014	3	11	method	method	NOUN
ejpam-4014	3	12	applied	apply	VERB
ejpam-4014	3	13	to	to	ADP
ejpam-4014	3	14	second	second	ADJ
ejpam-4014	3	15	kind	kind	X
ejpam-4014	3	16	volterra	volterra	PROPN
ejpam-4014	3	17	general	general	PROPN
ejpam-4014	3	18	integral	integral	ADJ
ejpam-4014	3	19	and	and	CCONJ
ejpam-4014	3	20	show	show	VERB
ejpam-4014	3	21	that	that	SCONJ
ejpam-4014	3	22	this	this	DET
ejpam-4014	3	23	method	method	NOUN
ejpam-4014	3	24	and	and	CCONJ
ejpam-4014	3	25	regular	regular	ADJ
ejpam-4014	3	26	perturbation	perturbation	NOUN
ejpam-4014	3	27	method	method	NOUN
ejpam-4014	3	28	converges	converge	VERB
ejpam-4014	3	29	to	to	ADP
ejpam-4014	3	30	the	the	DET
ejpam-4014	3	31	same	same	ADJ
ejpam-4014	3	32	solution	solution	NOUN
ejpam-4014	3	33	.	.	PUNCT
ejpam-4014	4	1	2020	2020	NUM
ejpam-4014	4	2	mathematics	mathematic	NOUN
ejpam-4014	4	3	subject	subject	NOUN
ejpam-4014	4	4	classifications	classification	NOUN
ejpam-4014	4	5	:	:	PUNCT
ejpam-4014	4	6	44axx	44axx	PROPN
ejpam-4014	4	7	,	,	PUNCT
ejpam-4014	4	8	40c10,45i05	40c10,45i05	DET
ejpam-4014	4	9	key	key	ADJ
ejpam-4014	4	10	words	word	NOUN
ejpam-4014	4	11	and	and	CCONJ
ejpam-4014	4	12	phrases	phrase	NOUN
ejpam-4014	4	13	:	:	PUNCT
ejpam-4014	4	14	adomian	adomian	NOUN
ejpam-4014	4	15	decomposition	decomposition	NOUN
ejpam-4014	4	16	method	method	NOUN
ejpam-4014	4	17	(	(	PUNCT
ejpam-4014	4	18	adm	adm	PROPN
ejpam-4014	4	19	)	)	PUNCT
ejpam-4014	4	20	,	,	PUNCT
ejpam-4014	4	21	regular	regular	ADJ
ejpam-4014	4	22	pertubation	pertubation	NOUN
ejpam-4014	4	23	method(rpm	method(rpm	ADV
ejpam-4014	4	24	)	)	PUNCT
ejpam-4014	4	25	,	,	PUNCT
ejpam-4014	4	26	volterra	volterra	PROPN
ejpam-4014	4	27	integral	integral	ADJ
ejpam-4014	4	28	equation	equation	NOUN
ejpam-4014	4	29	second	second	ADJ
ejpam-4014	4	30	kind	kind	NOUN
ejpam-4014	4	31	1	1	NUM
ejpam-4014	4	32	.	.	PUNCT
ejpam-4014	4	33	introduction	introduction	NOUN
ejpam-4014	4	34	in	in	ADP
ejpam-4014	4	35	the	the	DET
ejpam-4014	4	36	literature	literature	NOUN
ejpam-4014	4	37	,	,	PUNCT
ejpam-4014	4	38	there	there	PRON
ejpam-4014	4	39	are	be	VERB
ejpam-4014	4	40	few	few	ADJ
ejpam-4014	4	41	analytical	analytical	ADJ
ejpam-4014	4	42	methods	method	NOUN
ejpam-4014	4	43	or	or	CCONJ
ejpam-4014	4	44	digital	digital	ADJ
ejpam-4014	4	45	successful	successful	ADJ
ejpam-4014	4	46	for	for	ADP
ejpam-4014	4	47	solving	solve	VERB
ejpam-4014	4	48	non	non	ADJ
ejpam-4014	4	49	linear	linear	ADJ
ejpam-4014	4	50	integral	integral	ADJ
ejpam-4014	4	51	equations	equation	NOUN
ejpam-4014	4	52	.	.	PUNCT
ejpam-4014	5	1	this	this	PRON
ejpam-4014	5	2	is	be	AUX
ejpam-4014	5	3	due	due	ADJ
ejpam-4014	5	4	to	to	ADP
ejpam-4014	5	5	the	the	DET
ejpam-4014	5	6	strong	strong	ADJ
ejpam-4014	5	7	non	non	ADJ
ejpam-4014	5	8	linearity	linearity	NOUN
ejpam-4014	5	9	of	of	ADP
ejpam-4014	5	10	integral	integral	ADJ
ejpam-4014	5	11	equations	equation	NOUN
ejpam-4014	5	12	and	and	CCONJ
ejpam-4014	5	13	the	the	DET
ejpam-4014	5	14	difficulty	difficulty	NOUN
ejpam-4014	5	15	to	to	PART
ejpam-4014	5	16	find	find	VERB
ejpam-4014	5	17	their	their	PRON
ejpam-4014	5	18	exact	exact	ADJ
ejpam-4014	5	19	solutions	solution	NOUN
ejpam-4014	5	20	.	.	PUNCT
ejpam-4014	6	1	in	in	ADP
ejpam-4014	6	2	this	this	DET
ejpam-4014	6	3	paper	paper	NOUN
ejpam-4014	6	4	,	,	PUNCT
ejpam-4014	6	5	we	we	PRON
ejpam-4014	6	6	examine	examine	VERB
ejpam-4014	6	7	second	second	ADJ
ejpam-4014	6	8	kind	kind	NOUN
ejpam-4014	6	9	volterra	volterra	PROPN
ejpam-4014	6	10	general	general	PROPN
ejpam-4014	6	11	integral	integral	ADJ
ejpam-4014	6	12	:	:	PUNCT
ejpam-4014	6	13	ϕ(x	ϕ(x	X
ejpam-4014	6	14	)	)	PUNCT
ejpam-4014	6	15	=	=	SYM
ejpam-4014	6	16	f(x	f(x	PROPN
ejpam-4014	6	17	)	)	PUNCT
ejpam-4014	7	1	+	+	CCONJ
ejpam-4014	7	2	ε	ε	PROPN
ejpam-4014	7	3	∫	∫	PROPN
ejpam-4014	7	4	x	x	SYM
ejpam-4014	7	5	0	0	PUNCT
ejpam-4014	7	6	k(x	k(x	PROPN
ejpam-4014	7	7	,	,	PUNCT
ejpam-4014	7	8	t)ϕp(t)dt	t)ϕp(t)dt	PROPN
ejpam-4014	7	9	;	;	PUNCT
ejpam-4014	8	1	p	p	PRON
ejpam-4014	8	2	≥	≥	NOUN
ejpam-4014	8	3	2	2	NUM
ejpam-4014	8	4	;	;	PUNCT
ejpam-4014	8	5	0	0	NUM
ejpam-4014	8	6	<	<	X
ejpam-4014	8	7	ε	ε	X
ejpam-4014	8	8	�	�	PROPN
ejpam-4014	8	9	1	1	NUM
ejpam-4014	8	10	,	,	PUNCT
ejpam-4014	8	11	a	a	DET
ejpam-4014	8	12	≤	≤	NUM
ejpam-4014	8	13	t	t	NOUN
ejpam-4014	8	14	≤	≤	NUM
ejpam-4014	8	15	x	x	PUNCT
ejpam-4014	8	16	≤	≤	PROPN
ejpam-4014	8	17	t	t	NOUN
ejpam-4014	8	18	≺	≺	NOUN
ejpam-4014	8	19	+	+	PROPN
ejpam-4014	8	20	∞	∞	PROPN
ejpam-4014	8	21	(	(	PUNCT
ejpam-4014	8	22	1	1	NUM
ejpam-4014	8	23	)	)	PUNCT
ejpam-4014	8	24	where	where	SCONJ
ejpam-4014	8	25	ϕ	ϕ	NOUN
ejpam-4014	8	26	is	be	AUX
ejpam-4014	8	27	the	the	DET
ejpam-4014	8	28	unknown	unknown	ADJ
ejpam-4014	8	29	function	function	NOUN
ejpam-4014	8	30	,	,	PUNCT
ejpam-4014	8	31	f	f	PROPN
ejpam-4014	8	32	is	be	AUX
ejpam-4014	8	33	continuous	continuous	ADJ
ejpam-4014	8	34	function	function	NOUN
ejpam-4014	8	35	on	on	ADP
ejpam-4014	8	36	∑	∑	PROPN
ejpam-4014	8	37	t	t	NOUN
ejpam-4014	8	38	=	=	PUNCT
ejpam-4014	9	1	[	[	X
ejpam-4014	9	2	a;t	a;t	X
ejpam-4014	9	3	]	]	PUNCT
ejpam-4014	9	4	,	,	PUNCT
ejpam-4014	9	5	and	and	CCONJ
ejpam-4014	9	6	k	k	PROPN
ejpam-4014	9	7	∈	∈	PROPN
ejpam-4014	9	8	l2(ω	l2(ω	PROPN
ejpam-4014	9	9	)	)	PUNCT
ejpam-4014	9	10	is	be	AUX
ejpam-4014	9	11	continuous	continuous	ADJ
ejpam-4014	9	12	on	on	ADP
ejpam-4014	9	13	ω	ω	NOUN
ejpam-4014	9	14	=	=	PUNCT
ejpam-4014	10	1	[	[	X
ejpam-4014	10	2	a;t	a;t	ADJ
ejpam-4014	10	3	]	]	SYM
ejpam-4014	10	4	×	×	NOUN
ejpam-4014	11	1	[	[	X
ejpam-4014	11	2	a;t	a;t	X
ejpam-4014	11	3	]	]	PUNCT
ejpam-4014	11	4	.	.	PUNCT
ejpam-4014	12	1	∗corresponding	∗corresponde	VERB
ejpam-4014	12	2	author	author	NOUN
ejpam-4014	12	3	.	.	PUNCT
ejpam-4014	13	1	doi	doi	NOUN
ejpam-4014	13	2	:	:	PUNCT
ejpam-4014	13	3	https://doi.org/10.29020/nybg.ejpam.v14i3.4014	https://doi.org/10.29020/nybg.ejpam.v14i3.4014	NUM
ejpam-4014	13	4	email	email	NOUN
ejpam-4014	13	5	addresses	address	NOUN
ejpam-4014	13	6	:	:	PUNCT
ejpam-4014	13	7	yarorasmane@yahoo.fr	yarorasmane@yahoo.fr	PROPN
ejpam-4014	13	8	(	(	PUNCT
ejpam-4014	13	9	r.	r.	PROPN
ejpam-4014	13	10	yaro	yaro	PROPN
ejpam-4014	13	11	)	)	PUNCT
ejpam-4014	13	12	,	,	PUNCT
ejpam-4014	13	13	bakariabbo@yahoo.fr	bakariabbo@yahoo.fr	PROPN
ejpam-4014	13	14	(	(	PUNCT
ejpam-4014	13	15	b.	b.	PROPN
ejpam-4014	13	16	abbo	abbo	PROPN
ejpam-4014	13	17	)	)	PUNCT
ejpam-4014	13	18	,	,	PUNCT
ejpam-4014	13	19	sonobi2002@yahoo.fr	sonobi2002@yahoo.fr	PROPN
ejpam-4014	13	20	(	(	PUNCT
ejpam-4014	13	21	f.	f.	PROPN
ejpam-4014	13	22	bassono	bassono	PROPN
ejpam-4014	13	23	)	)	PUNCT
ejpam-4014	13	24	,	,	PUNCT
ejpam-4014	14	1	pareyoussouf@gmail.com	pareyoussouf@gmail.com	X
ejpam-4014	14	2	(	(	PUNCT
ejpam-4014	14	3	y.	y.	PROPN
ejpam-4014	14	4	paré	paré	NOUN
ejpam-4014	14	5	)	)	PUNCT
ejpam-4014	14	6	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4014	14	7	1044	1044	NUM
ejpam-4014	15	1	c	c	X
ejpam-4014	15	2	©	©	PROPN
ejpam-4014	15	3	2021	2021	NUM
ejpam-4014	15	4	ejpam	ejpam	VERB
ejpam-4014	15	5	all	all	DET
ejpam-4014	15	6	rights	right	NOUN
ejpam-4014	15	7	reserved	reserve	VERB
ejpam-4014	15	8	.	.	PUNCT
ejpam-4014	16	1	y.	y.	PROPN
ejpam-4014	16	2	paré	paré	PROPN
ejpam-4014	16	3	et	et	PROPN
ejpam-4014	16	4	al	al	PROPN
ejpam-4014	16	5	.	.	PUNCT
ejpam-4014	16	6	/	/	SYM
ejpam-4014	16	7	eur	eur	PROPN
ejpam-4014	16	8	.	.	PUNCT
ejpam-4014	17	1	j.	j.	PROPN
ejpam-4014	17	2	pure	pure	PROPN
ejpam-4014	17	3	appl	appl	PROPN
ejpam-4014	17	4	.	.	PROPN
ejpam-4014	17	5	math	math	PROPN
ejpam-4014	17	6	,	,	PUNCT
ejpam-4014	17	7	14	14	NUM
ejpam-4014	17	8	(	(	PUNCT
ejpam-4014	17	9	3	3	NUM
ejpam-4014	17	10	)	)	PUNCT
ejpam-4014	17	11	(	(	PUNCT
ejpam-4014	17	12	2021	2021	NUM
ejpam-4014	17	13	)	)	PUNCT
ejpam-4014	17	14	,	,	PUNCT
ejpam-4014	17	15	1044	1044	NUM
ejpam-4014	17	16	-	-	SYM
ejpam-4014	17	17	1056	1056	NUM
ejpam-4014	17	18	1045	1045	NUM
ejpam-4014	17	19	we	we	PRON
ejpam-4014	17	20	used	use	VERB
ejpam-4014	17	21	adomian	adomian	NOUN
ejpam-4014	17	22	decomposition	decomposition	NOUN
ejpam-4014	17	23	method	method	NOUN
ejpam-4014	17	24	and	and	CCONJ
ejpam-4014	17	25	regular	regular	ADJ
ejpam-4014	17	26	perturbation	perturbation	NOUN
ejpam-4014	17	27	method	method	NOUN
ejpam-4014	17	28	permitted	permit	VERB
ejpam-4014	17	29	us	we	PRON
ejpam-4014	17	30	to	to	PART
ejpam-4014	17	31	find	find	VERB
ejpam-4014	17	32	the	the	DET
ejpam-4014	17	33	solution	solution	NOUN
ejpam-4014	17	34	of	of	ADP
ejpam-4014	17	35	the	the	DET
ejpam-4014	17	36	problem	problem	NOUN
ejpam-4014	17	37	(	(	PUNCT
ejpam-4014	17	38	1	1	NUM
ejpam-4014	17	39	)	)	PUNCT
ejpam-4014	17	40	.	.	PUNCT
ejpam-4014	18	1	the	the	DET
ejpam-4014	18	2	structure	structure	NOUN
ejpam-4014	18	3	of	of	ADP
ejpam-4014	18	4	the	the	DET
ejpam-4014	18	5	present	present	ADJ
ejpam-4014	18	6	study	study	NOUN
ejpam-4014	18	7	consists	consist	VERB
ejpam-4014	18	8	of	of	ADP
ejpam-4014	18	9	an	an	DET
ejpam-4014	18	10	introductory	introductory	ADJ
ejpam-4014	18	11	section	section	NOUN
ejpam-4014	18	12	,	,	PUNCT
ejpam-4014	18	13	sections	section	NOUN
ejpam-4014	18	14	2	2	NUM
ejpam-4014	18	15	and	and	CCONJ
ejpam-4014	18	16	3	3	NUM
ejpam-4014	18	17	,	,	PUNCT
ejpam-4014	18	18	and	and	CCONJ
ejpam-4014	18	19	final	final	ADJ
ejpam-4014	18	20	conclusions	conclusion	NOUN
ejpam-4014	18	21	.	.	PUNCT
ejpam-4014	19	1	in	in	ADP
ejpam-4014	19	2	section	section	NOUN
ejpam-4014	19	3	2	2	NUM
ejpam-4014	19	4	,	,	PUNCT
ejpam-4014	19	5	we	we	PRON
ejpam-4014	19	6	prove	prove	VERB
ejpam-4014	19	7	the	the	DET
ejpam-4014	19	8	convergence	convergence	NOUN
ejpam-4014	19	9	of	of	ADP
ejpam-4014	19	10	both	both	DET
ejpam-4014	19	11	methods	method	NOUN
ejpam-4014	19	12	.	.	PUNCT
ejpam-4014	20	1	section	section	NOUN
ejpam-4014	20	2	3	3	NUM
ejpam-4014	20	3	contains	contain	VERB
ejpam-4014	20	4	numerical	numerical	ADJ
ejpam-4014	20	5	examples	example	NOUN
ejpam-4014	20	6	.	.	PUNCT
ejpam-4014	21	1	2	2	X
ejpam-4014	21	2	.	.	X
ejpam-4014	21	3	convergence	convergence	NOUN
ejpam-4014	21	4	in	in	ADP
ejpam-4014	21	5	this	this	DET
ejpam-4014	21	6	section	section	NOUN
ejpam-4014	21	7	we	we	PRON
ejpam-4014	21	8	show	show	VERB
ejpam-4014	21	9	the	the	DET
ejpam-4014	21	10	theorem	theorem	NOUN
ejpam-4014	21	11	of	of	ADP
ejpam-4014	21	12	convergence	convergence	NOUN
ejpam-4014	21	13	.	.	PUNCT
ejpam-4014	22	1	theorem	theorem	NOUN
ejpam-4014	22	2	1	1	NUM
ejpam-4014	22	3	.	.	PUNCT
ejpam-4014	23	1	let	let	VERB
ejpam-4014	23	2	us	we	PRON
ejpam-4014	23	3	consider	consider	VERB
ejpam-4014	23	4	the	the	DET
ejpam-4014	23	5	non	non	ADJ
ejpam-4014	23	6	linear	linear	PROPN
ejpam-4014	23	7	equations	equation	NOUN
ejpam-4014	23	8	second	second	ADJ
ejpam-4014	23	9	kind	kind	NOUN
ejpam-4014	23	10	of	of	ADP
ejpam-4014	23	11	volterra	volterra	NOUN
ejpam-4014	23	12	defined	define	VERB
ejpam-4014	23	13	in	in	ADP
ejpam-4014	23	14	(	(	PUNCT
ejpam-4014	23	15	1	1	NUM
ejpam-4014	23	16	)	)	PUNCT
ejpam-4014	23	17	.	.	PUNCT
ejpam-4014	24	1	then	then	ADV
ejpam-4014	24	2	the	the	DET
ejpam-4014	24	3	problem	problem	NOUN
ejpam-4014	24	4	(	(	PUNCT
ejpam-4014	24	5	p	p	NOUN
ejpam-4014	24	6	)	)	PUNCT
ejpam-4014	24	7	converges	converge	VERB
ejpam-4014	24	8	to	to	ADP
ejpam-4014	24	9	a	a	DET
ejpam-4014	24	10	unique	unique	ADJ
ejpam-4014	24	11	solution	solution	NOUN
ejpam-4014	24	12	ϕ	ϕ	NOUN
ejpam-4014	24	13	∈	∈	NOUN
ejpam-4014	24	14	c([a;t	c([a;t	ADJ
ejpam-4014	24	15	]	]	PUNCT
ejpam-4014	24	16	)	)	PUNCT
ejpam-4014	24	17	and	and	CCONJ
ejpam-4014	24	18	the	the	DET
ejpam-4014	24	19	adomian	adomian	NOUN
ejpam-4014	24	20	algorithm	algorithm	NOUN
ejpam-4014	24	21	[	[	X
ejpam-4014	24	22	1–4	1–4	PROPN
ejpam-4014	24	23	,	,	PUNCT
ejpam-4014	24	24	6–10	6–10	NOUN
ejpam-4014	24	25	,	,	PUNCT
ejpam-4014	24	26	12	12	NUM
ejpam-4014	24	27	]	]	PUNCT
ejpam-4014	24	28	(	(	PUNCT
ejpam-4014	24	29	padm	padm	NOUN
ejpam-4014	24	30	)	)	PUNCT
ejpam-4014	24	31	{	{	PUNCT
ejpam-4014	24	32	ϕ0(x	ϕ0(x	NOUN
ejpam-4014	24	33	)	)	PUNCT
ejpam-4014	24	34	=	=	SYM
ejpam-4014	24	35	f(x	f(x	PROPN
ejpam-4014	24	36	)	)	PUNCT
ejpam-4014	24	37	ϕn(x	ϕn(x	PUNCT
ejpam-4014	24	38	)	)	PUNCT
ejpam-4014	25	1	=	=	PUNCT
ejpam-4014	25	2	ε	ε	PROPN
ejpam-4014	25	3	∫	∫	PROPN
ejpam-4014	25	4	x	x	SYM
ejpam-4014	25	5	0	0	PUNCT
ejpam-4014	25	6	k(x	k(x	PROPN
ejpam-4014	25	7	,	,	PUNCT
ejpam-4014	25	8	t)an−1(t)dt	t)an−1(t)dt	PROPN
ejpam-4014	25	9	;	;	PUNCT
ejpam-4014	25	10	n	n	PRON
ejpam-4014	25	11	≥	≥	NOUN
ejpam-4014	25	12	1	1	NUM
ejpam-4014	25	13	(	(	PUNCT
ejpam-4014	25	14	2	2	NUM
ejpam-4014	25	15	)	)	PUNCT
ejpam-4014	25	16	converges	converge	NOUN
ejpam-4014	25	17	to	to	ADP
ejpam-4014	25	18	this	this	DET
ejpam-4014	25	19	solution	solution	NOUN
ejpam-4014	25	20	.	.	PUNCT
ejpam-4014	26	1	in	in	ADP
ejpam-4014	26	2	addition	addition	NOUN
ejpam-4014	26	3	,	,	PUNCT
ejpam-4014	26	4	adomian	adomian	NOUN
ejpam-4014	26	5	and	and	CCONJ
ejpam-4014	26	6	regular	regular	ADJ
ejpam-4014	26	7	perturbation	perturbation	NOUN
ejpam-4014	26	8	algorithms	algorithm	NOUN
ejpam-4014	26	9	are	be	AUX
ejpam-4014	26	10	equivalents	equivalent	NOUN
ejpam-4014	26	11	.	.	PUNCT
ejpam-4014	27	1	proof	proof	NOUN
ejpam-4014	27	2	.	.	PUNCT
ejpam-4014	28	1	the	the	DET
ejpam-4014	28	2	adomian	adomian	NOUN
ejpam-4014	28	3	polynomial	polynomial	NOUN
ejpam-4014	28	4	are	be	AUX
ejpam-4014	28	5	obtained	obtain	VERB
ejpam-4014	28	6	by	by	ADP
ejpam-4014	28	7	the	the	DET
ejpam-4014	28	8	following	follow	VERB
ejpam-4014	28	9	formula	formula	NOUN
ejpam-4014	28	10	:	:	PUNCT
ejpam-4014	28	11	[	[	PUNCT
ejpam-4014	28	12	∂i(λkak	∂i(λkak	X
ejpam-4014	28	13	)	)	PUNCT
ejpam-4014	28	14	∂λi	∂λi	PROPN
ejpam-4014	28	15	]	]	PUNCT
ejpam-4014	28	16	λ=0	λ=0	PUNCT
ejpam-4014	28	17	=	=	X
ejpam-4014	28	18	[	[	PUNCT
ejpam-4014	28	19	∂i(λkϕk	∂i(λkϕk	PROPN
ejpam-4014	28	20	)	)	PUNCT
ejpam-4014	28	21	p	p	PROPN
ejpam-4014	28	22	∂λi	∂λi	PROPN
ejpam-4014	28	23	]	]	PUNCT
ejpam-4014	28	24	λ=0	λ=0	X
ejpam-4014	28	25	(	(	PUNCT
ejpam-4014	28	26	3	3	X
ejpam-4014	28	27	)	)	PUNCT
ejpam-4014	28	28	by	by	ADP
ejpam-4014	28	29	unfolding	unfold	VERB
ejpam-4014	28	30	,	,	PUNCT
ejpam-4014	28	31	we	we	PRON
ejpam-4014	28	32	get:	get:	VERB
ejpam-4014	28	33	a0=	a0=	PROPN
ejpam-4014	28	34	ϕp0	ϕp0	NOUN
ejpam-4014	29	1	a1=	a1=	ADJ
ejpam-4014	29	2	pϕp−10	pϕp−10	NOUN
ejpam-4014	29	3	ϕ1	ϕ1	NOUN
ejpam-4014	29	4	a2=	a2=	PROPN
ejpam-4014	29	5	1	1	NUM
ejpam-4014	29	6	2	2	NUM
ejpam-4014	29	7	p[2ϕp−10	p[2ϕp−10	NOUN
ejpam-4014	29	8	ϕ2+(p−	ϕ2+(p−	PROPN
ejpam-4014	29	9	1)ϕp−20	1)ϕp−20	NUM
ejpam-4014	29	10	ϕ2	ϕ2	ADV
ejpam-4014	29	11	1	1	NUM
ejpam-4014	29	12	a3=	a3=	NOUN
ejpam-4014	29	13	1	1	NUM
ejpam-4014	29	14	6	6	NUM
ejpam-4014	29	15	p[6ϕp−10	p[6ϕp−10	VERB
ejpam-4014	29	16	ϕ3−6pϕp−20	ϕ3−6pϕp−20	PRON
ejpam-4014	29	17	ϕ1ϕ2+(p2−3p+	ϕ1ϕ2+(p2−3p+	VERB
ejpam-4014	29	18	2)ϕp−30	2)ϕp−30	NUM
ejpam-4014	29	19	ϕ3	ϕ3	PROPN
ejpam-4014	29	20	1	1	NUM
ejpam-4014	29	21	]	]	PUNCT
ejpam-4014	29	22	...	...	PUNCT
ejpam-4014	30	1	an=	an=	PROPN
ejpam-4014	30	2	1	1	NUM
ejpam-4014	30	3	n	n	NOUN
ejpam-4014	30	4	!	!	PUNCT
ejpam-4014	31	1	[	[	PUNCT
ejpam-4014	31	2	∂n(λkϕk	∂n(λkϕk	NOUN
ejpam-4014	31	3	)	)	PUNCT
ejpam-4014	31	4	p	p	NOUN
ejpam-4014	31	5	∂λn	∂λn	PROPN
ejpam-4014	31	6	]	]	X
ejpam-4014	31	7	λ=0	λ=0	X
ejpam-4014	31	8	;	;	PUNCT
ejpam-4014	31	9	∀n	∀n	NUM
ejpam-4014	31	10	≥	≥	X
ejpam-4014	31	11	0	0	NUM
ejpam-4014	31	12	(	(	PUNCT
ejpam-4014	31	13	4	4	X
ejpam-4014	31	14	)	)	PUNCT
ejpam-4014	31	15	we	we	PRON
ejpam-4014	31	16	have	have	AUX
ejpam-4014	31	17	following	follow	VERB
ejpam-4014	31	18	adomian	adomian	NOUN
ejpam-4014	31	19	algorithm	algorithm	NOUN
ejpam-4014	31	20	:	:	PUNCT
ejpam-4014	31	21	(	(	PUNCT
ejpam-4014	31	22	padm	padm	ADV
ejpam-4014	31	23	)	)	PUNCT
ejpam-4014	31	24			PROPN
ejpam-4014	31	25	ϕ0(x	ϕ0(x	NOUN
ejpam-4014	31	26	)	)	PUNCT
ejpam-4014	31	27	=	=	SYM
ejpam-4014	31	28	f(x	f(x	PROPN
ejpam-4014	31	29	)	)	PUNCT
ejpam-4014	31	30	ϕ1(x	ϕ1(x	NUM
ejpam-4014	31	31	)	)	PUNCT
ejpam-4014	32	1	=	=	PUNCT
ejpam-4014	32	2	ε	ε	PROPN
ejpam-4014	32	3	∫	∫	PROPN
ejpam-4014	32	4	x	x	SYM
ejpam-4014	32	5	0	0	NUM
ejpam-4014	32	6	k(x	k(x	PROPN
ejpam-4014	32	7	,	,	PUNCT
ejpam-4014	32	8	t)a0(t)dt	t)a0(t)dt	NOUN
ejpam-4014	32	9	ϕ2(x	ϕ2(x	NOUN
ejpam-4014	32	10	)	)	PUNCT
ejpam-4014	32	11	=	=	SYM
ejpam-4014	32	12	ε	ε	PROPN
ejpam-4014	32	13	∫	∫	PROPN
ejpam-4014	32	14	x	x	SYM
ejpam-4014	32	15	0	0	PUNCT
ejpam-4014	32	16	k(x	k(x	PROPN
ejpam-4014	32	17	,	,	PUNCT
ejpam-4014	32	18	t)a1(t)dt	t)a1(t)dt	NOUN
ejpam-4014	32	19	...	...	PUNCT
ejpam-4014	32	20	ϕn(x	ϕn(x	X
ejpam-4014	32	21	)	)	PUNCT
ejpam-4014	32	22	=	=	PUNCT
ejpam-4014	33	1	ε	ε	PROPN
ejpam-4014	33	2	∫	∫	PROPN
ejpam-4014	33	3	x	x	SYM
ejpam-4014	33	4	0	0	PUNCT
ejpam-4014	33	5	k(x	k(x	PROPN
ejpam-4014	33	6	,	,	PUNCT
ejpam-4014	33	7	t)an−1(t)dt	t)an−1(t)dt	PROPN
ejpam-4014	33	8	;	;	PUNCT
ejpam-4014	33	9	n	n	PRON
ejpam-4014	33	10	≥	≥	NOUN
ejpam-4014	33	11	1	1	NUM
ejpam-4014	33	12	(	(	PUNCT
ejpam-4014	33	13	5	5	NUM
ejpam-4014	33	14	)	)	PUNCT
ejpam-4014	33	15	y.	y.	NOUN
ejpam-4014	33	16	paré	paré	NOUN
ejpam-4014	33	17	et	et	PROPN
ejpam-4014	33	18	al	al	PROPN
ejpam-4014	33	19	.	.	PUNCT
ejpam-4014	33	20	/	/	SYM
ejpam-4014	33	21	eur	eur	PROPN
ejpam-4014	33	22	.	.	PUNCT
ejpam-4014	34	1	j.	j.	PROPN
ejpam-4014	34	2	pure	pure	PROPN
ejpam-4014	34	3	appl	appl	PROPN
ejpam-4014	34	4	.	.	PROPN
ejpam-4014	34	5	math	math	PROPN
ejpam-4014	34	6	,	,	PUNCT
ejpam-4014	34	7	14	14	NUM
ejpam-4014	34	8	(	(	PUNCT
ejpam-4014	34	9	3	3	NUM
ejpam-4014	34	10	)	)	PUNCT
ejpam-4014	34	11	(	(	PUNCT
ejpam-4014	34	12	2021	2021	NUM
ejpam-4014	34	13	)	)	PUNCT
ejpam-4014	34	14	,	,	PUNCT
ejpam-4014	34	15	1044	1044	NUM
ejpam-4014	34	16	-	-	SYM
ejpam-4014	34	17	1056	1056	NUM
ejpam-4014	34	18	1046	1046	NUM
ejpam-4014	34	19	let	let	VERB
ejpam-4014	34	20	us	we	PRON
ejpam-4014	34	21	show	show	VERB
ejpam-4014	34	22	that	that	SCONJ
ejpam-4014	34	23	the	the	DET
ejpam-4014	34	24	algoritm	algoritm	PROPN
ejpam-4014	34	25	(	(	PUNCT
ejpam-4014	34	26	padm	padm	ADJ
ejpam-4014	34	27	)	)	PUNCT
ejpam-4014	34	28	converges	converge	VERB
ejpam-4014	34	29	•	•	NOUN
ejpam-4014	34	30	f	f	PROPN
ejpam-4014	34	31	is	be	AUX
ejpam-4014	34	32	assumed	assume	VERB
ejpam-4014	34	33	continuous	continuous	ADJ
ejpam-4014	34	34	on	on	ADP
ejpam-4014	34	35	∑	∑	PROPN
ejpam-4014	34	36	t	t	NOUN
ejpam-4014	34	37	=	=	PUNCT
ejpam-4014	35	1	[	[	X
ejpam-4014	35	2	a;t	a;t	ADJ
ejpam-4014	35	3	]	]	X
ejpam-4014	35	4	,	,	PUNCT
ejpam-4014	35	5	there	there	PRON
ejpam-4014	35	6	existm	existm	VERB
ejpam-4014	35	7	>	>	X
ejpam-4014	35	8	0	0	PROPN
ejpam-4014	35	9	,	,	PUNCT
ejpam-4014	36	1	such	such	ADJ
ejpam-4014	36	2	that	that	SCONJ
ejpam-4014	36	3	∀x	∀x	NUM
ejpam-4014	36	4	∈	∈	PROPN
ejpam-4014	36	5	∑	∑	PROPN
ejpam-4014	36	6	t	t	PROPN
ejpam-4014	36	7	,	,	PUNCT
ejpam-4014	36	8	∀(x	∀(x	NUM
ejpam-4014	36	9	,	,	PUNCT
ejpam-4014	36	10	t	t	PROPN
ejpam-4014	36	11	)	)	PUNCT
ejpam-4014	36	12	∈	∈	PROPN
ejpam-4014	36	13	ω	ω	NUM
ejpam-4014	37	1	=	=	PUNCT
ejpam-4014	38	1	[	[	X
ejpam-4014	38	2	0;t	0;t	NOUN
ejpam-4014	38	3	]	]	X
ejpam-4014	38	4	×	×	NOUN
ejpam-4014	38	5	[	[	X
ejpam-4014	38	6	a;t	a;t	X
ejpam-4014	38	7	]	]	X
ejpam-4014	38	8	,	,	PUNCT
ejpam-4014	38	9	|f(x)|	|f(x)|	PROPN
ejpam-4014	38	10	≤	≤	NUM
ejpam-4014	38	11	m	m	VERB
ejpam-4014	38	12	•	•	NOUN
ejpam-4014	38	13	k	k	NOUN
ejpam-4014	38	14	being	be	AUX
ejpam-4014	38	15	continuous	continuous	ADJ
ejpam-4014	38	16	on	on	ADP
ejpam-4014	38	17	ω	ω	NOUN
ejpam-4014	38	18	=	=	PUNCT
ejpam-4014	39	1	[	[	X
ejpam-4014	39	2	0;t	0;t	NOUN
ejpam-4014	39	3	]	]	X
ejpam-4014	39	4	×	×	NOUN
ejpam-4014	39	5	[	[	X
ejpam-4014	39	6	a;t	a;t	X
ejpam-4014	39	7	]	]	X
ejpam-4014	39	8	,	,	PUNCT
ejpam-4014	39	9	there	there	PRON
ejpam-4014	39	10	exist	exist	VERB
ejpam-4014	39	11	m	m	PROPN
ejpam-4014	39	12	>	>	X
ejpam-4014	39	13	0	0	NUM
ejpam-4014	39	14	,	,	PUNCT
ejpam-4014	39	15	such	such	ADJ
ejpam-4014	39	16	that	that	SCONJ
ejpam-4014	39	17	∀(x	∀(x	NOUN
ejpam-4014	39	18	,	,	PUNCT
ejpam-4014	39	19	t	t	PROPN
ejpam-4014	39	20	)	)	PUNCT
ejpam-4014	39	21	∈	∈	PROPN
ejpam-4014	39	22	ω	ω	PROPN
ejpam-4014	39	23	,	,	PUNCT
ejpam-4014	39	24	|k(x	|k(x	PROPN
ejpam-4014	39	25	,	,	PUNCT
ejpam-4014	39	26	t)|	t)|	NOUN
ejpam-4014	39	27	≤m	≤m	NOUN
ejpam-4014	39	28	.	.	PUNCT
ejpam-4014	40	1	for	for	ADP
ejpam-4014	40	2	ϕn(x	ϕn(x	NUM
ejpam-4014	40	3	)	)	PUNCT
ejpam-4014	40	4	,	,	PUNCT
ejpam-4014	40	5	we	we	PRON
ejpam-4014	40	6	have	have	VERB
ejpam-4014	40	7	successively	successively	ADV
ejpam-4014	40	8	∀n	∀n	NUM
ejpam-4014	40	9	≥	≥	NOUN
ejpam-4014	40	10	1	1	NUM
ejpam-4014	40	11			PROPN
ejpam-4014	40	12	|ϕ0(x)|	|ϕ0(x)|	PUNCT
ejpam-4014	40	13	≤	≤	ADJ
ejpam-4014	40	14	m0	m0	NOUN
ejpam-4014	40	15	|ϕ1(x)|	|ϕ1(x)|	VERB
ejpam-4014	40	16	≤	≤	NUM
ejpam-4014	40	17	mp	mp	NOUN
ejpam-4014	40	18	0	0	PUNCT
ejpam-4014	41	1	[	[	X
ejpam-4014	41	2	εm(x−	εm(x−	X
ejpam-4014	41	3	a	a	NOUN
ejpam-4014	41	4	)	)	PUNCT
ejpam-4014	41	5	]	]	PUNCT
ejpam-4014	41	6	1	1	X
ejpam-4014	41	7	!	!	PUNCT
ejpam-4014	41	8	⇒	⇒	NOUN
ejpam-4014	41	9	|ϕ1(x)|	|ϕ1(x)|	VERB
ejpam-4014	41	10	≤	≤	ADJ
ejpam-4014	41	11	m1	m1	NOUN
ejpam-4014	41	12	[	[	X
ejpam-4014	41	13	εm(x−	εm(x−	X
ejpam-4014	41	14	a	a	NOUN
ejpam-4014	41	15	)	)	PUNCT
ejpam-4014	41	16	]	]	PUNCT
ejpam-4014	41	17	1	1	X
ejpam-4014	41	18	!	!	PUNCT
ejpam-4014	41	19	|ϕ2(x)|	|ϕ2(x)|	VERB
ejpam-4014	41	20	≤	≤	NUM
ejpam-4014	42	1	pmp	pmp	X
ejpam-4014	42	2	0m1	0m1	PUNCT
ejpam-4014	43	1	[	[	X
ejpam-4014	43	2	λm(x−	λm(x−	X
ejpam-4014	43	3	a)]2	a)]2	NOUN
ejpam-4014	43	4	2	2	NUM
ejpam-4014	43	5	!	!	PUNCT
ejpam-4014	43	6	⇒	⇒	NOUN
ejpam-4014	43	7	|ϕ2(x)|	|ϕ2(x)|	VERB
ejpam-4014	43	8	≤	≤	NUM
ejpam-4014	43	9	m2	m2	PROPN
ejpam-4014	44	1	[	[	X
ejpam-4014	44	2	εm(x−	εm(x−	X
ejpam-4014	44	3	a)]2	a)]2	NOUN
ejpam-4014	44	4	2	2	NUM
ejpam-4014	44	5	!	!	NOUN
ejpam-4014	44	6	|ϕk3(x)|	|ϕk3(x)|	VERB
ejpam-4014	44	7	≤	≤	NUM
ejpam-4014	44	8	1	1	NUM
ejpam-4014	45	1	2p[2	2p[2	NUM
ejpam-4014	45	2	m	m	NOUN
ejpam-4014	46	1	p−1	p−1	NOUN
ejpam-4014	46	2	0	0	NUM
ejpam-4014	46	3	m2+(p−	m2+(p−	PROPN
ejpam-4014	46	4	1)mp−2	1)mp−2	PROPN
ejpam-4014	46	5	0	0	NUM
ejpam-4014	46	6	m2	m2	PROPN
ejpam-4014	46	7	1	1	NUM
ejpam-4014	47	1	[	[	X
ejpam-4014	47	2	εm(x−	εm(x−	X
ejpam-4014	47	3	a)]3	a)]3	NOUN
ejpam-4014	47	4	3	3	X
ejpam-4014	47	5	!	!	PUNCT
ejpam-4014	47	6	⇒	⇒	NOUN
ejpam-4014	47	7	|ϕk3(x)|	|ϕk3(x)|	VERB
ejpam-4014	47	8	≤	≤	ADJ
ejpam-4014	47	9	m3	m3	PROPN
ejpam-4014	48	1	[	[	X
ejpam-4014	48	2	εm(x−	εm(x−	X
ejpam-4014	48	3	a)]3	a)]3	NOUN
ejpam-4014	48	4	3	3	NUM
ejpam-4014	48	5	!	!	PUNCT
ejpam-4014	48	6	...	...	PUNCT
ejpam-4014	49	1	|ϕn(x)|	|ϕn(x)|	VERB
ejpam-4014	49	2	≤	≤	PROPN
ejpam-4014	49	3	mn	mn	PROPN
ejpam-4014	50	1	[	[	X
ejpam-4014	50	2	ιm(x−	ιm(x−	X
ejpam-4014	50	3	a)]n	a)]n	PROPN
ejpam-4014	50	4	n	n	X
ejpam-4014	50	5	!	!	PUNCT
ejpam-4014	51	1	(	(	PUNCT
ejpam-4014	51	2	6	6	X
ejpam-4014	51	3	)	)	PUNCT
ejpam-4014	51	4	let	let	VERB
ejpam-4014	51	5	’s	’s	NOUN
ejpam-4014	51	6	put	put	VERB
ejpam-4014	51	7	m′	m′	NOUN
ejpam-4014	52	1	=	=	SYM
ejpam-4014	52	2	sup(m0,m1	sup(m0,m1	PROPN
ejpam-4014	52	3	,	,	PUNCT
ejpam-4014	52	4	...	...	PUNCT
ejpam-4014	52	5	,	,	PUNCT
ejpam-4014	52	6	mn	mn	PROPN
ejpam-4014	52	7	)	)	PUNCT
ejpam-4014	53	1	it	it	PRON
ejpam-4014	53	2	follows	follow	VERB
ejpam-4014	53	3	that	that	PRON
ejpam-4014	53	4	:	:	PUNCT
ejpam-4014	53	5	|ϕn(x)|	|ϕn(x)|	VERB
ejpam-4014	53	6	≤	≤	PUNCT
ejpam-4014	53	7	m′	m′	NOUN
ejpam-4014	54	1	[	[	X
ejpam-4014	54	2	εm(x−	εm(x−	X
ejpam-4014	54	3	a)]n	a)]n	NOUN
ejpam-4014	54	4	n	n	X
ejpam-4014	54	5	!	!	PUNCT
ejpam-4014	54	6	let	let	VERB
ejpam-4014	54	7	’s	’s	NOUN
ejpam-4014	54	8	put	put	VERB
ejpam-4014	54	9	φn(x	φn(x	NOUN
ejpam-4014	54	10	)	)	PUNCT
ejpam-4014	54	11	=	=	PUNCT
ejpam-4014	55	1	m′	m′	NOUN
ejpam-4014	56	1	[	[	X
ejpam-4014	56	2	εm(x−	εm(x−	X
ejpam-4014	56	3	a)]n	a)]n	NOUN
ejpam-4014	56	4	n	n	X
ejpam-4014	56	5	!	!	PUNCT
ejpam-4014	57	1	the	the	DET
ejpam-4014	57	2	series	series	NOUN
ejpam-4014	57	3	:	:	PUNCT
ejpam-4014	57	4	∑	∑	PUNCT
ejpam-4014	57	5	n≥0	n≥0	ADJ
ejpam-4014	57	6	φn(x	φn(x	NUM
ejpam-4014	57	7	)	)	PUNCT
ejpam-4014	57	8	=	=	PUNCT
ejpam-4014	57	9	m′	m′	X
ejpam-4014	57	10	∑	∑	PUNCT
ejpam-4014	57	11	n≥0	n≥0	PROPN
ejpam-4014	57	12	[	[	X
ejpam-4014	57	13	εm(x−	εm(x−	X
ejpam-4014	57	14	a)]n	a)]n	NOUN
ejpam-4014	57	15	n	n	X
ejpam-4014	57	16	!	!	PUNCT
ejpam-4014	57	17	converging	converge	VERB
ejpam-4014	57	18	geometrically	geometrically	ADV
ejpam-4014	57	19	toward	toward	ADP
ejpam-4014	57	20	the	the	DET
ejpam-4014	57	21	function	function	NOUN
ejpam-4014	57	22	:	:	PUNCT
ejpam-4014	57	23	g(x	g(x	NOUN
ejpam-4014	57	24	)	)	PUNCT
ejpam-4014	58	1	=	=	PUNCT
ejpam-4014	58	2	m	m	VERB
ejpam-4014	58	3	′	′	NUM
ejpam-4014	58	4	e[εm(x−a	e[εm(x−a	PROPN
ejpam-4014	58	5	)	)	PUNCT
ejpam-4014	58	6	]	]	PUNCT
ejpam-4014	58	7	on	on	ADP
ejpam-4014	58	8	[	[	X
ejpam-4014	58	9	0;t	0;t	X
ejpam-4014	58	10	]	]	PUNCT
ejpam-4014	58	11	therefore	therefore	ADV
ejpam-4014	58	12	,	,	PUNCT
ejpam-4014	58	13	the	the	DET
ejpam-4014	58	14	series	series	NOUN
ejpam-4014	58	15	∑	∑	PROPN
ejpam-4014	58	16	n≥0	n≥0	PROPN
ejpam-4014	58	17	ϕ	ϕ	X
ejpam-4014	58	18	k	k	X
ejpam-4014	58	19	n(x	n(x	X
ejpam-4014	58	20	)	)	PUNCT
ejpam-4014	58	21	converges	converge	VERB
ejpam-4014	58	22	normally	normally	ADV
ejpam-4014	58	23	and	and	CCONJ
ejpam-4014	58	24	thus	thus	ADV
ejpam-4014	58	25	absolutely	absolutely	ADV
ejpam-4014	58	26	to	to	PART
ejpam-4014	58	27	ϕ(x	ϕ(x	VERB
ejpam-4014	58	28	)	)	PUNCT
ejpam-4014	58	29	on	on	ADP
ejpam-4014	58	30	[	[	X
ejpam-4014	58	31	a;t	a;t	X
ejpam-4014	58	32	which	which	PRON
ejpam-4014	58	33	is	be	AUX
ejpam-4014	58	34	the	the	DET
ejpam-4014	58	35	solution	solution	NOUN
ejpam-4014	58	36	to	to	ADP
ejpam-4014	58	37	problem	problem	NOUN
ejpam-4014	58	38	(	(	PUNCT
ejpam-4014	58	39	2	2	NUM
ejpam-4014	58	40	)	)	PUNCT
ejpam-4014	58	41	-let	-let	NOUN
ejpam-4014	59	1	us	we	PRON
ejpam-4014	59	2	suppose	suppose	VERB
ejpam-4014	59	3	that	that	SCONJ
ejpam-4014	59	4	the	the	DET
ejpam-4014	59	5	problem	problem	NOUN
ejpam-4014	59	6	(	(	PUNCT
ejpam-4014	59	7	p	p	NOUN
ejpam-4014	59	8	)	)	PUNCT
ejpam-4014	59	9	admit	admit	VERB
ejpam-4014	59	10	two	two	NUM
ejpam-4014	59	11	distinct	distinct	ADJ
ejpam-4014	59	12	solutions	solution	NOUN
ejpam-4014	59	13	ϕ	ϕ	NOUN
ejpam-4014	59	14	and	and	CCONJ
ejpam-4014	59	15	ψ	ψ	NOUN
ejpam-4014	59	16	for	for	ADP
ejpam-4014	59	17	the	the	DET
ejpam-4014	59	18	function	function	NOUN
ejpam-4014	59	19	ψ	ψ	NOUN
ejpam-4014	59	20	,	,	PUNCT
ejpam-4014	59	21	we	we	PRON
ejpam-4014	59	22	have	have	AUX
ejpam-4014	59	23	following	follow	VERB
ejpam-4014	59	24	adomian	adomian	NOUN
ejpam-4014	59	25	algorithm	algorithm	NOUN
ejpam-4014	59	26	:	:	PUNCT
ejpam-4014	59	27	y.	y.	PROPN
ejpam-4014	59	28	paré	paré	PROPN
ejpam-4014	59	29	et	et	PROPN
ejpam-4014	59	30	al	al	PROPN
ejpam-4014	59	31	.	.	PUNCT
ejpam-4014	59	32	/	/	SYM
ejpam-4014	59	33	eur	eur	PROPN
ejpam-4014	59	34	.	.	PUNCT
ejpam-4014	60	1	j.	j.	PROPN
ejpam-4014	60	2	pure	pure	PROPN
ejpam-4014	60	3	appl	appl	PROPN
ejpam-4014	60	4	.	.	PROPN
ejpam-4014	60	5	math	math	PROPN
ejpam-4014	60	6	,	,	PUNCT
ejpam-4014	60	7	14	14	NUM
ejpam-4014	60	8	(	(	PUNCT
ejpam-4014	60	9	3	3	NUM
ejpam-4014	60	10	)	)	PUNCT
ejpam-4014	60	11	(	(	PUNCT
ejpam-4014	60	12	2021	2021	NUM
ejpam-4014	60	13	)	)	PUNCT
ejpam-4014	60	14	,	,	PUNCT
ejpam-4014	60	15	1044	1044	NUM
ejpam-4014	60	16	-	-	SYM
ejpam-4014	60	17	1056	1056	NUM
ejpam-4014	60	18	1047	1047	NUM
ejpam-4014	60	19	{	{	PUNCT
ejpam-4014	60	20	ψ0(x	ψ0(x	NUM
ejpam-4014	60	21	)	)	PUNCT
ejpam-4014	60	22	=	=	SYM
ejpam-4014	60	23	f(x	f(x	PROPN
ejpam-4014	60	24	)	)	PUNCT
ejpam-4014	60	25	ψn(x	ψn(x	VERB
ejpam-4014	60	26	)	)	PUNCT
ejpam-4014	61	1	=	=	SYM
ejpam-4014	61	2	ε	ε	PROPN
ejpam-4014	61	3	∫	∫	PROPN
ejpam-4014	61	4	x	x	SYM
ejpam-4014	61	5	0	0	PUNCT
ejpam-4014	61	6	k(x	k(x	PROPN
ejpam-4014	61	7	,	,	PUNCT
ejpam-4014	61	8	t)bn−1(t)dt	t)bn−1(t)dt	NOUN
ejpam-4014	61	9	;	;	PUNCT
ejpam-4014	61	10	n	n	PRON
ejpam-4014	61	11	≥	≥	NOUN
ejpam-4014	61	12	1	1	NUM
ejpam-4014	61	13	(	(	PUNCT
ejpam-4014	61	14	7	7	NUM
ejpam-4014	61	15	)	)	PUNCT
ejpam-4014	61	16	where	where	SCONJ
ejpam-4014	61	17			PROPN
ejpam-4014	61	18	b0=	b0=	PROPN
ejpam-4014	61	19	ψp0	ψp0	NOUN
ejpam-4014	61	20	b1=	b1=	NOUN
ejpam-4014	61	21	pψp−10	pψp−10	NOUN
ejpam-4014	61	22	ψ1	ψ1	VERB
ejpam-4014	61	23	b2=	b2=	NOUN
ejpam-4014	61	24	1	1	NUM
ejpam-4014	61	25	2p[2ψ	2p[2ψ	NUM
ejpam-4014	61	26	p−1	p−1	PROPN
ejpam-4014	61	27	0	0	NUM
ejpam-4014	61	28	ϕ2+(p−	ϕ2+(p−	PROPN
ejpam-4014	61	29	1)ψp−21	1)ψp−21	NUM
ejpam-4014	61	30	ψ2	ψ2	NOUN
ejpam-4014	61	31	1	1	NUM
ejpam-4014	61	32	b3=	b3=	NOUN
ejpam-4014	61	33	1	1	NUM
ejpam-4014	61	34	6p[6ψ	6p[6ψ	NUM
ejpam-4014	61	35	p−1	p−1	PROPN
ejpam-4014	61	36	0	0	NUM
ejpam-4014	61	37	ψ3−6pψp−20	ψ3−6pψp−20	PRON
ejpam-4014	61	38	ψ1ψ2+(p2−3p+	ψ1ψ2+(p2−3p+	NOUN
ejpam-4014	61	39	2)ψp−30	2)ψp−30	PROPN
ejpam-4014	61	40	ψ3	ψ3	NOUN
ejpam-4014	61	41	1	1	NUM
ejpam-4014	61	42	]	]	PUNCT
ejpam-4014	61	43	...	...	PUNCT
ejpam-4014	61	44	bn=	bn=	ADJ
ejpam-4014	61	45	1	1	NUM
ejpam-4014	61	46	n	n	NOUN
ejpam-4014	61	47	!	!	PUNCT
ejpam-4014	62	1	[	[	PUNCT
ejpam-4014	62	2	∂n(λkψk	∂n(λkψk	NOUN
ejpam-4014	62	3	)	)	PUNCT
ejpam-4014	63	1	p	p	X
ejpam-4014	63	2	∂λn	∂λn	PROPN
ejpam-4014	63	3	]	]	X
ejpam-4014	63	4	λ=0	λ=0	X
ejpam-4014	63	5	(	(	PUNCT
ejpam-4014	63	6	8)	8)	NUM
ejpam-4014	63	7	are	be	AUX
ejpam-4014	63	8	adomian	adomian	NOUN
ejpam-4014	63	9	’s	’s	PART
ejpam-4014	63	10	polynomial	polynomial	ADJ
ejpam-4014	63	11	.	.	PUNCT
ejpam-4014	64	1	let	let	VERB
ejpam-4014	64	2	’s	’s	NOUN
ejpam-4014	64	3	put	put	VERB
ejpam-4014	64	4	ω(x	ω(x	NOUN
ejpam-4014	64	5	)	)	PUNCT
ejpam-4014	64	6	=	=	SYM
ejpam-4014	64	7	ϕ(x)−	ϕ(x)−	PROPN
ejpam-4014	64	8	ψ(x	ψ(x	NOUN
ejpam-4014	64	9	)	)	PUNCT
ejpam-4014	64	10	,	,	PUNCT
ejpam-4014	64	11	w(x	w(x	NOUN
ejpam-4014	64	12	)	)	PUNCT
ejpam-4014	64	13	checks	check	VERB
ejpam-4014	64	14	the	the	DET
ejpam-4014	64	15	following	follow	VERB
ejpam-4014	64	16	adomian	adomian	NOUN
ejpam-4014	64	17	algorithm	algorithm	PROPN
ejpam-4014	64	18	:	:	PUNCT
ejpam-4014	64	19	{	{	PUNCT
ejpam-4014	64	20	ω0(x	ω0(x	NOUN
ejpam-4014	64	21	)	)	PUNCT
ejpam-4014	65	1	=	=	SYM
ejpam-4014	65	2	ϕ0(x)−	ϕ0(x)−	PROPN
ejpam-4014	65	3	ψ0(x	ψ0(x	NUM
ejpam-4014	65	4	)	)	PUNCT
ejpam-4014	65	5	ωn(x	ωn(x	NUM
ejpam-4014	65	6	)	)	PUNCT
ejpam-4014	66	1	=	=	SYM
ejpam-4014	66	2	ε	ε	PROPN
ejpam-4014	66	3	∫	∫	PROPN
ejpam-4014	66	4	x	x	SYM
ejpam-4014	66	5	0	0	PUNCT
ejpam-4014	66	6	k(x	k(x	PROPN
ejpam-4014	66	7	,	,	PUNCT
ejpam-4014	66	8	t)[an−1(t)−bn−1(t)]dt	t)[an−1(t)−bn−1(t)]dt	NUM
ejpam-4014	66	9	;	;	PUNCT
ejpam-4014	66	10	n	n	X
ejpam-4014	66	11	≥	≥	NOUN
ejpam-4014	66	12	1	1	NUM
ejpam-4014	66	13	(	(	PUNCT
ejpam-4014	66	14	9	9	NUM
ejpam-4014	66	15	)	)	PUNCT
ejpam-4014	66	16	by	by	ADP
ejpam-4014	66	17	unfolding	unfold	VERB
ejpam-4014	66	18	the	the	DET
ejpam-4014	66	19	algorithm	algorithm	NOUN
ejpam-4014	66	20	(	(	PUNCT
ejpam-4014	66	21	9	9	NUM
ejpam-4014	66	22	)	)	PUNCT
ejpam-4014	66	23	for	for	ADP
ejpam-4014	66	24	k	k	PROPN
ejpam-4014	66	25	≥	≥	PROPN
ejpam-4014	66	26	1,we	1,we	NUM
ejpam-4014	66	27	get	get	VERB
ejpam-4014	66	28	:	:	PUNCT
ejpam-4014	66	29			NOUN
ejpam-4014	66	30	ω0(x	ω0(x	NUM
ejpam-4014	66	31	)	)	PUNCT
ejpam-4014	66	32	=	=	NOUN
ejpam-4014	67	1	f(x)−	f(x)−	PROPN
ejpam-4014	67	2	f(x	f(x	PROPN
ejpam-4014	67	3	)	)	PUNCT
ejpam-4014	68	1	=	=	PUNCT
ejpam-4014	68	2	0	0	NUM
ejpam-4014	68	3	ω1(x	ω1(x	NUM
ejpam-4014	68	4	)	)	PUNCT
ejpam-4014	68	5	=	=	SYM
ejpam-4014	69	1	ε	ε	PROPN
ejpam-4014	69	2	∫	∫	PROPN
ejpam-4014	69	3	x	x	SYM
ejpam-4014	69	4	0	0	PUNCT
ejpam-4014	69	5	k(x	k(x	PROPN
ejpam-4014	69	6	,	,	PUNCT
ejpam-4014	69	7	t)[ϕp0(t)−	t)[ϕp0(t)−	X
ejpam-4014	69	8	ψ	ψ	X
ejpam-4014	69	9	p	p	X
ejpam-4014	69	10	0(t)]dt	0(t)]dt	NOUN
ejpam-4014	69	11	=	=	SYM
ejpam-4014	69	12	0	0	NUM
ejpam-4014	69	13	ω2(x	ω2(x	NUM
ejpam-4014	69	14	)	)	PUNCT
ejpam-4014	69	15	=	=	SYM
ejpam-4014	69	16	ε	ε	PROPN
ejpam-4014	69	17	∫	∫	PROPN
ejpam-4014	69	18	x	x	SYM
ejpam-4014	69	19	0	0	PUNCT
ejpam-4014	69	20	k(x	k(x	PROPN
ejpam-4014	69	21	,	,	PUNCT
ejpam-4014	69	22	t)[a1(t)−b1(t)]dt	t)[a1(t)−b1(t)]dt	PROPN
ejpam-4014	69	23	=	=	PUNCT
ejpam-4014	69	24	ε	ε	PROPN
ejpam-4014	69	25	∫	∫	PROPN
ejpam-4014	69	26	x	x	SYM
ejpam-4014	69	27	0	0	NUM
ejpam-4014	69	28	k(x	k(x	PROPN
ejpam-4014	69	29	,	,	PUNCT
ejpam-4014	69	30	t)[pϕp0(t)ϕ1(t)−	t)[pϕp0(t)ϕ1(t)−	NOUN
ejpam-4014	69	31	pψp0(t)ψ1(t)]dt	pψp0(t)ψ1(t)]dt	PROPN
ejpam-4014	69	32	=	=	SYM
ejpam-4014	69	33	0	0	NUM
ejpam-4014	69	34	...	...	PUNCT
ejpam-4014	69	35	ωn(x	ωn(x	PUNCT
ejpam-4014	69	36	)	)	PUNCT
ejpam-4014	69	37	=	=	SYM
ejpam-4014	70	1	ε	ε	PROPN
ejpam-4014	70	2	∫	∫	PROPN
ejpam-4014	70	3	x	x	SYM
ejpam-4014	70	4	0	0	NUM
ejpam-4014	70	5	k(x	k(x	PROPN
ejpam-4014	70	6	,	,	PUNCT
ejpam-4014	70	7	t)[an−1(t)−bn−1(t)]dt	t)[an−1(t)−bn−1(t)]dt	X
ejpam-4014	71	1	=	=	PUNCT
ejpam-4014	71	2	0;∀n	0;∀n	NOUN
ejpam-4014	71	3	≥	≥	NOUN
ejpam-4014	71	4	0	0	NUM
ejpam-4014	72	1	we	we	PRON
ejpam-4014	72	2	have	have	VERB
ejpam-4014	72	3	ω(x	ω(x	NOUN
ejpam-4014	72	4	)	)	PUNCT
ejpam-4014	72	5	=	=	PUNCT
ejpam-4014	73	1	∑	∑	PUNCT
ejpam-4014	73	2	n≥0	n≥0	ADJ
ejpam-4014	73	3	ωn(x	ωn(x	NUM
ejpam-4014	73	4	)	)	PUNCT
ejpam-4014	73	5	=	=	SYM
ejpam-4014	73	6	0	0	PUNCT
ejpam-4014	73	7	since	since	SCONJ
ejpam-4014	73	8	∀n	∀n	NUM
ejpam-4014	73	9	≥	≥	X
ejpam-4014	73	10	0	0	NUM
ejpam-4014	73	11	,	,	PUNCT
ejpam-4014	73	12	ωn(x	ωn(x	NUM
ejpam-4014	73	13	)	)	PUNCT
ejpam-4014	73	14	=	=	SYM
ejpam-4014	73	15	0	0	NUM
ejpam-4014	73	16	and	and	CCONJ
ejpam-4014	73	17	thus	thus	ADV
ejpam-4014	73	18	ω(x	ω(x	NOUN
ejpam-4014	73	19	)	)	PUNCT
ejpam-4014	73	20	=	=	SYM
ejpam-4014	73	21	ϕ(x)−	ϕ(x)−	PROPN
ejpam-4014	73	22	ψ(x	ψ(x	NOUN
ejpam-4014	73	23	)	)	PUNCT
ejpam-4014	74	1	=	=	SYM
ejpam-4014	74	2	0⇔	0⇔	NOUN
ejpam-4014	74	3	ϕ(x	ϕ(x	NOUN
ejpam-4014	74	4	)	)	PUNCT
ejpam-4014	74	5	=	=	SYM
ejpam-4014	74	6	ψ(x	ψ(x	NOUN
ejpam-4014	74	7	)	)	PUNCT
ejpam-4014	74	8	and	and	CCONJ
ejpam-4014	74	9	ϕ	ϕ	X
ejpam-4014	74	10	=	=	SYM
ejpam-4014	74	11	ψ∀x	ψ∀x	SYM
ejpam-4014	74	12	∈	∈	NOUN
ejpam-4014	74	13	σt	σt	ADP
ejpam-4014	74	14	=	=	PUNCT
ejpam-4014	75	1	[	[	X
ejpam-4014	75	2	a;t	a;t	X
ejpam-4014	75	3	]	]	PUNCT
ejpam-4014	75	4	.	.	PUNCT
ejpam-4014	76	1	this	this	PRON
ejpam-4014	76	2	proves	prove	VERB
ejpam-4014	76	3	the	the	DET
ejpam-4014	76	4	uniqueness	uniqueness	NOUN
ejpam-4014	76	5	of	of	ADP
ejpam-4014	76	6	the	the	DET
ejpam-4014	76	7	solution	solution	NOUN
ejpam-4014	76	8	of	of	ADP
ejpam-4014	76	9	the	the	DET
ejpam-4014	76	10	equation	equation	NOUN
ejpam-4014	76	11	(	(	PUNCT
ejpam-4014	76	12	1	1	NUM
ejpam-4014	76	13	)	)	PUNCT
ejpam-4014	76	14	and	and	CCONJ
ejpam-4014	76	15	the	the	DET
ejpam-4014	76	16	convergence	convergence	NOUN
ejpam-4014	76	17	of	of	ADP
ejpam-4014	76	18	the	the	DET
ejpam-4014	76	19	adomian	adomian	NOUN
ejpam-4014	76	20	algorithm	algorithm	NOUN
ejpam-4014	76	21	.	.	PUNCT
ejpam-4014	77	1	y.	y.	PROPN
ejpam-4014	77	2	paré	paré	PROPN
ejpam-4014	77	3	et	et	PROPN
ejpam-4014	77	4	al	al	PROPN
ejpam-4014	77	5	.	.	PUNCT
ejpam-4014	77	6	/	/	SYM
ejpam-4014	77	7	eur	eur	PROPN
ejpam-4014	77	8	.	.	PUNCT
ejpam-4014	78	1	j.	j.	PROPN
ejpam-4014	78	2	pure	pure	PROPN
ejpam-4014	78	3	appl	appl	PROPN
ejpam-4014	78	4	.	.	PROPN
ejpam-4014	78	5	math	math	PROPN
ejpam-4014	78	6	,	,	PUNCT
ejpam-4014	78	7	14	14	NUM
ejpam-4014	78	8	(	(	PUNCT
ejpam-4014	78	9	3	3	NUM
ejpam-4014	78	10	)	)	PUNCT
ejpam-4014	78	11	(	(	PUNCT
ejpam-4014	78	12	2021	2021	NUM
ejpam-4014	78	13	)	)	PUNCT
ejpam-4014	78	14	,	,	PUNCT
ejpam-4014	78	15	1044	1044	NUM
ejpam-4014	78	16	-	-	SYM
ejpam-4014	78	17	1056	1056	NUM
ejpam-4014	78	18	1048	1048	NUM
ejpam-4014	78	19	let	let	VERB
ejpam-4014	78	20	us	we	PRON
ejpam-4014	78	21	show	show	VERB
ejpam-4014	78	22	that	that	SCONJ
ejpam-4014	78	23	the	the	DET
ejpam-4014	78	24	adomian	adomian	NOUN
ejpam-4014	78	25	algorithm	algorithm	NOUN
ejpam-4014	78	26	and	and	CCONJ
ejpam-4014	78	27	the	the	DET
ejpam-4014	78	28	regular	regular	ADJ
ejpam-4014	78	29	perturbation	perturbation	NOUN
ejpam-4014	78	30	converges	converge	VERB
ejpam-4014	78	31	to	to	ADP
ejpam-4014	78	32	the	the	DET
ejpam-4014	78	33	same	same	ADJ
ejpam-4014	78	34	solution	solution	NOUN
ejpam-4014	78	35	let	let	VERB
ejpam-4014	78	36	us	we	PRON
ejpam-4014	78	37	consider	consider	VERB
ejpam-4014	78	38	the	the	DET
ejpam-4014	78	39	problem	problem	NOUN
ejpam-4014	78	40	(	(	PUNCT
ejpam-4014	78	41	p	p	NOUN
ejpam-4014	78	42	)	)	PUNCT
ejpam-4014	78	43	•	•	NUM
ejpam-4014	78	44	applying	apply	VERB
ejpam-4014	78	45	the	the	DET
ejpam-4014	78	46	adomian	adomian	NOUN
ejpam-4014	78	47	decomposition	decomposition	NOUN
ejpam-4014	78	48	algorithm	algorithm	NOUN
ejpam-4014	78	49	to	to	ADP
ejpam-4014	78	50	(	(	PUNCT
ejpam-4014	78	51	1	1	NUM
ejpam-4014	78	52	)	)	PUNCT
ejpam-4014	78	53	,	,	PUNCT
ejpam-4014	78	54	we	we	PRON
ejpam-4014	78	55	get	get	VERB
ejpam-4014	78	56	:	:	PUNCT
ejpam-4014	78	57	(	(	PUNCT
ejpam-4014	78	58	padm	padm	NOUN
ejpam-4014	78	59	)	)	PUNCT
ejpam-4014	78	60	{	{	PUNCT
ejpam-4014	78	61	ϕ0(x	ϕ0(x	NOUN
ejpam-4014	78	62	)	)	PUNCT
ejpam-4014	78	63	=	=	SYM
ejpam-4014	78	64	f(x	f(x	PROPN
ejpam-4014	78	65	)	)	PUNCT
ejpam-4014	78	66	ϕn(x	ϕn(x	PUNCT
ejpam-4014	78	67	)	)	PUNCT
ejpam-4014	79	1	=	=	PUNCT
ejpam-4014	79	2	ε	ε	PROPN
ejpam-4014	79	3	∫	∫	PROPN
ejpam-4014	79	4	x	x	SYM
ejpam-4014	79	5	0	0	PUNCT
ejpam-4014	79	6	k(x	k(x	PROPN
ejpam-4014	79	7	,	,	PUNCT
ejpam-4014	79	8	t)an−1(t)dt	t)an−1(t)dt	PROPN
ejpam-4014	79	9	;	;	PUNCT
ejpam-4014	79	10	n	n	PRON
ejpam-4014	79	11	≥	≥	NOUN
ejpam-4014	79	12	1	1	NUM
ejpam-4014	79	13	(	(	PUNCT
ejpam-4014	79	14	10	10	NUM
ejpam-4014	79	15	)	)	PUNCT
ejpam-4014	79	16	•	•	NOUN
ejpam-4014	79	17	regular	regular	ADJ
ejpam-4014	79	18	perturbation	perturbation	NOUN
ejpam-4014	79	19	method	method	NOUN
ejpam-4014	79	20	[	[	X
ejpam-4014	79	21	5	5	NUM
ejpam-4014	79	22	,	,	PUNCT
ejpam-4014	79	23	11	11	NUM
ejpam-4014	79	24	]	]	PUNCT
ejpam-4014	79	25	let	let	VERB
ejpam-4014	79	26	us	we	PRON
ejpam-4014	79	27	suppose	suppose	VERB
ejpam-4014	79	28	that	that	SCONJ
ejpam-4014	79	29	ψ	ψ	NOUN
ejpam-4014	79	30	is	be	AUX
ejpam-4014	79	31	another	another	DET
ejpam-4014	79	32	solution	solution	NOUN
ejpam-4014	79	33	of	of	ADP
ejpam-4014	79	34	the	the	DET
ejpam-4014	79	35	problem	problem	NOUN
ejpam-4014	79	36	(	(	PUNCT
ejpam-4014	79	37	p	p	NOUN
ejpam-4014	79	38	)	)	PUNCT
ejpam-4014	79	39	this	this	DET
ejpam-4014	79	40	method	method	NOUN
ejpam-4014	79	41	consist	consist	VERB
ejpam-4014	79	42	to	to	PART
ejpam-4014	79	43	search	search	VERB
ejpam-4014	79	44	the	the	DET
ejpam-4014	79	45	approximate	approximate	ADJ
ejpam-4014	79	46	solution	solution	NOUN
ejpam-4014	79	47	by	by	ADP
ejpam-4014	79	48	an	an	DET
ejpam-4014	79	49	asymptotic	asymptotic	ADJ
ejpam-4014	79	50	expression	expression	NOUN
ejpam-4014	79	51	:	:	PUNCT
ejpam-4014	79	52	ψ(x	ψ(x	NUM
ejpam-4014	79	53	)	)	PUNCT
ejpam-4014	80	1	=	=	PUNCT
ejpam-4014	80	2	∑	∑	PUNCT
ejpam-4014	80	3	n≥0	n≥0	PROPN
ejpam-4014	80	4	εnψn(x	εnψn(x	PROPN
ejpam-4014	80	5	)	)	PUNCT
ejpam-4014	80	6	(	(	PUNCT
ejpam-4014	80	7	11	11	NUM
ejpam-4014	80	8	)	)	PUNCT
ejpam-4014	80	9	where	where	SCONJ
ejpam-4014	80	10	ε	ε	PROPN
ejpam-4014	80	11	is	be	AUX
ejpam-4014	80	12	a	a	DET
ejpam-4014	80	13	small	small	ADJ
ejpam-4014	80	14	parameter	parameter	NOUN
ejpam-4014	80	15	of	of	ADP
ejpam-4014	80	16	the	the	DET
ejpam-4014	80	17	problem	problem	NOUN
ejpam-4014	80	18	.	.	PUNCT
ejpam-4014	81	1	let	let	VERB
ejpam-4014	81	2	’s	’s	PRON
ejpam-4014	81	3	introduce	introduce	VERB
ejpam-4014	81	4	(	(	PUNCT
ejpam-4014	81	5	11	11	NUM
ejpam-4014	81	6	)	)	PUNCT
ejpam-4014	81	7	to	to	ADP
ejpam-4014	81	8	(	(	PUNCT
ejpam-4014	81	9	1	1	NUM
ejpam-4014	81	10	)	)	PUNCT
ejpam-4014	81	11	,	,	PUNCT
ejpam-4014	81	12	we	we	PRON
ejpam-4014	81	13	get:∑	get:∑	VERB
ejpam-4014	81	14	n≥0	n≥0	ADJ
ejpam-4014	81	15	εnψn(x	εnψn(x	PROPN
ejpam-4014	81	16	)	)	PUNCT
ejpam-4014	81	17	=	=	SYM
ejpam-4014	81	18	f(x	f(x	PROPN
ejpam-4014	81	19	)	)	PUNCT
ejpam-4014	82	1	+	+	CCONJ
ejpam-4014	82	2	ε	ε	PROPN
ejpam-4014	82	3	∫	∫	PROPN
ejpam-4014	82	4	x	x	SYM
ejpam-4014	82	5	0	0	PUNCT
ejpam-4014	82	6	k(x	k(x	PROPN
ejpam-4014	82	7	,	,	PUNCT
ejpam-4014	82	8	t	t	PROPN
ejpam-4014	82	9	)	)	PUNCT
ejpam-4014	82	10	(	(	PUNCT
ejpam-4014	82	11	∑	∑	ADV
ejpam-4014	82	12	n≥0	n≥0	ADJ
ejpam-4014	82	13	εnψn(t))p(t)dt	εnψn(t))p(t)dt	NOUN
ejpam-4014	82	14	;	;	PUNCT
ejpam-4014	82	15	(	(	PUNCT
ejpam-4014	82	16	12	12	X
ejpam-4014	82	17	)	)	PUNCT
ejpam-4014	82	18	using	use	VERB
ejpam-4014	82	19	binomial	binomial	ADJ
ejpam-4014	82	20	newton	newton	PROPN
ejpam-4014	82	21	formula	formula	NOUN
ejpam-4014	82	22	,	,	PUNCT
ejpam-4014	82	23	we	we	PRON
ejpam-4014	82	24	get	get	VERB
ejpam-4014	82	25	[	[	X
ejpam-4014	82	26	ψ0	ψ0	ADJ
ejpam-4014	82	27	+	+	CCONJ
ejpam-4014	82	28	(	(	PUNCT
ejpam-4014	82	29	εψ1	εψ1	ADV
ejpam-4014	82	30	+	+	CCONJ
ejpam-4014	82	31	ε2ψ2	ε2ψ2	NOUN
ejpam-4014	82	32	)	)	PUNCT
ejpam-4014	82	33	]	]	PUNCT
ejpam-4014	83	1	p	p	X
ejpam-4014	83	2	=	=	PUNCT
ejpam-4014	83	3	ψp0	ψp0	NOUN
ejpam-4014	83	4	+	+	X
ejpam-4014	83	5	pψp−10	pψp−10	NOUN
ejpam-4014	83	6	(	(	PUNCT
ejpam-4014	83	7	εψ1	εψ1	ADV
ejpam-4014	83	8	+	+	CCONJ
ejpam-4014	83	9	ε2ψ2	ε2ψ2	NOUN
ejpam-4014	83	10	)	)	PUNCT
ejpam-4014	83	11	+	+	CCONJ
ejpam-4014	83	12	p(p−	p(p−	VERB
ejpam-4014	83	13	1	1	NUM
ejpam-4014	83	14	)	)	PUNCT
ejpam-4014	83	15	2	2	NUM
ejpam-4014	83	16	ψp−20	ψp−20	PROPN
ejpam-4014	83	17	(	(	PUNCT
ejpam-4014	83	18	ε2ψ2	ε2ψ2	NOUN
ejpam-4014	83	19	1	1	NUM
ejpam-4014	83	20	+	+	CCONJ
ejpam-4014	83	21	2ε3ψ1ψ2	2ε3ψ1ψ2	NUM
ejpam-4014	83	22	+	+	CCONJ
ejpam-4014	83	23	ε4ψ2	ε4ψ2	ADJ
ejpam-4014	83	24	2	2	NUM
ejpam-4014	83	25	)	)	PUNCT
ejpam-4014	83	26	+	+	CCONJ
ejpam-4014	83	27	...	...	PUNCT
ejpam-4014	84	1	+	+	CCONJ
ejpam-4014	84	2	(	(	PUNCT
ejpam-4014	84	3	εψ1	εψ1	ADV
ejpam-4014	84	4	+	+	CCONJ
ejpam-4014	84	5	ε2ψ2	ε2ψ2	NOUN
ejpam-4014	84	6	)	)	PUNCT
ejpam-4014	84	7	p	p	NOUN
ejpam-4014	84	8	by	by	ADP
ejpam-4014	84	9	identification	identification	NOUN
ejpam-4014	84	10	according	accord	VERB
ejpam-4014	84	11	to	to	ADP
ejpam-4014	84	12	the	the	DET
ejpam-4014	84	13	growth	growth	NOUN
ejpam-4014	84	14	power	power	NOUN
ejpam-4014	84	15	of	of	ADP
ejpam-4014	84	16	ε	ε	PROPN
ejpam-4014	84	17	,	,	PUNCT
ejpam-4014	84	18	we	we	PRON
ejpam-4014	84	19	get	get	VERB
ejpam-4014	84	20	:	:	PUNCT
ejpam-4014	84	21			X
ejpam-4014	84	22	ε0	ε0	NOUN
ejpam-4014	84	23	:	:	PUNCT
ejpam-4014	84	24	ψ0(x	ψ0(x	X
ejpam-4014	84	25	)	)	PUNCT
ejpam-4014	84	26	=	=	SYM
ejpam-4014	84	27	f(x	f(x	PROPN
ejpam-4014	84	28	)	)	PUNCT
ejpam-4014	84	29	ε1	ε1	VERB
ejpam-4014	84	30	:	:	PUNCT
ejpam-4014	84	31	ψ1(x	ψ1(x	PROPN
ejpam-4014	84	32	)	)	PUNCT
ejpam-4014	84	33	=	=	SYM
ejpam-4014	85	1	∫	∫	PROPN
ejpam-4014	85	2	x	x	SYM
ejpam-4014	85	3	0	0	NUM
ejpam-4014	85	4	k(x	k(x	PROPN
ejpam-4014	85	5	,	,	PUNCT
ejpam-4014	85	6	t)ψp0(t)dt	t)ψp0(t)dt	NOUN
ejpam-4014	85	7	ε2	ε2	NOUN
ejpam-4014	85	8	:	:	PUNCT
ejpam-4014	85	9	ψ2(x	ψ2(x	X
ejpam-4014	85	10	)	)	PUNCT
ejpam-4014	85	11	=	=	SYM
ejpam-4014	85	12	∫	∫	PROPN
ejpam-4014	85	13	x	x	SYM
ejpam-4014	85	14	0	0	PUNCT
ejpam-4014	85	15	k(x	k(x	PROPN
ejpam-4014	85	16	,	,	PUNCT
ejpam-4014	85	17	t)pψp−10	t)pψp−10	NOUN
ejpam-4014	85	18	(	(	PUNCT
ejpam-4014	85	19	t)ψ1(t)dt	t)ψ1(t)dt	NOUN
ejpam-4014	85	20	ε3	ε3	PROPN
ejpam-4014	85	21	:	:	PUNCT
ejpam-4014	85	22	ψ3(x	ψ3(x	X
ejpam-4014	85	23	)	)	PUNCT
ejpam-4014	85	24	=	=	SYM
ejpam-4014	85	25	∫	∫	PROPN
ejpam-4014	85	26	x	x	SYM
ejpam-4014	85	27	0	0	PUNCT
ejpam-4014	85	28	k(x	k(x	PROPN
ejpam-4014	85	29	,	,	PUNCT
ejpam-4014	85	30	t)12p[2ψ	t)12p[2ψ	NUM
ejpam-4014	85	31	p−1	p−1	PROPN
ejpam-4014	85	32	0	0	NUM
ejpam-4014	85	33	ψ2(t)+(p−	ψ2(t)+(p−	ADJ
ejpam-4014	85	34	1)ψp−20	1)ψp−20	PROPN
ejpam-4014	85	35	(	(	PUNCT
ejpam-4014	85	36	t)ψ2	t)ψ2	PROPN
ejpam-4014	85	37	1(t)]dt	1(t)]dt	NUM
ejpam-4014	85	38	...	...	PUNCT
ejpam-4014	85	39	εn	εn	ADJ
ejpam-4014	85	40	:	:	PUNCT
ejpam-4014	85	41	ψn(x	ψn(x	X
ejpam-4014	85	42	)	)	PUNCT
ejpam-4014	85	43	=	=	SYM
ejpam-4014	85	44	...	...	PUNCT
ejpam-4014	86	1	y.	y.	PROPN
ejpam-4014	86	2	paré	paré	PROPN
ejpam-4014	86	3	et	et	PROPN
ejpam-4014	86	4	al	al	PROPN
ejpam-4014	86	5	.	.	PUNCT
ejpam-4014	86	6	/	/	SYM
ejpam-4014	86	7	eur	eur	PROPN
ejpam-4014	86	8	.	.	PUNCT
ejpam-4014	87	1	j.	j.	PROPN
ejpam-4014	87	2	pure	pure	PROPN
ejpam-4014	87	3	appl	appl	PROPN
ejpam-4014	87	4	.	.	PROPN
ejpam-4014	87	5	math	math	PROPN
ejpam-4014	87	6	,	,	PUNCT
ejpam-4014	87	7	14	14	NUM
ejpam-4014	87	8	(	(	PUNCT
ejpam-4014	87	9	3	3	NUM
ejpam-4014	87	10	)	)	PUNCT
ejpam-4014	87	11	(	(	PUNCT
ejpam-4014	87	12	2021	2021	NUM
ejpam-4014	87	13	)	)	PUNCT
ejpam-4014	87	14	,	,	PUNCT
ejpam-4014	87	15	1044	1044	NUM
ejpam-4014	87	16	-	-	SYM
ejpam-4014	87	17	1056	1056	NUM
ejpam-4014	87	18	1049	1049	NUM
ejpam-4014	87	19	•	•	NOUN
ejpam-4014	87	20	comparision	comparision	NOUN
ejpam-4014	87	21	of	of	ADP
ejpam-4014	87	22	the	the	DET
ejpam-4014	87	23	solution	solution	NOUN
ejpam-4014	87	24	of	of	ADP
ejpam-4014	87	25	the	the	DET
ejpam-4014	87	26	both	both	DET
ejpam-4014	87	27	methods	method	NOUN
ejpam-4014	87	28	let	let	VERB
ejpam-4014	87	29	’s	’s	NOUN
ejpam-4014	87	30	put	put	VERB
ejpam-4014	87	31	φn(x	φn(x	NOUN
ejpam-4014	87	32	)	)	PUNCT
ejpam-4014	88	1	=	=	SYM
ejpam-4014	88	2	ϕn(x)−	ϕn(x)−	PROPN
ejpam-4014	88	3	εnψn(x	εnψn(x	PROPN
ejpam-4014	88	4	)	)	PUNCT
ejpam-4014	88	5	by	by	ADP
ejpam-4014	88	6	unfolding	unfold	VERB
ejpam-4014	88	7	,	,	PUNCT
ejpam-4014	88	8	we	we	PRON
ejpam-4014	88	9	get	get	VERB
ejpam-4014	88	10	:	:	PUNCT
ejpam-4014	88	11	ii	ii	NOUN
ejpam-4014	88	12			PUNCT
ejpam-4014	88	13	φ0(x	φ0(x	NOUN
ejpam-4014	88	14	)	)	PUNCT
ejpam-4014	88	15	=	=	SYM
ejpam-4014	89	1	ϕ0(x)−	ϕ0(x)−	PROPN
ejpam-4014	89	2	ψ0(x)f(x	ψ0(x)f(x	PROPN
ejpam-4014	89	3	)	)	PUNCT
ejpam-4014	89	4	=	=	NOUN
ejpam-4014	90	1	f(x)−	f(x)−	PROPN
ejpam-4014	90	2	f(x	f(x	PROPN
ejpam-4014	90	3	)	)	PUNCT
ejpam-4014	90	4	=	=	SYM
ejpam-4014	90	5	0	0	NUM
ejpam-4014	91	1	φ1(x	φ1(x	NOUN
ejpam-4014	92	1	)	)	PUNCT
ejpam-4014	92	2	=	=	SYM
ejpam-4014	92	3	ε	ε	PROPN
ejpam-4014	92	4	∫	∫	PROPN
ejpam-4014	92	5	x	x	SYM
ejpam-4014	92	6	0	0	NUM
ejpam-4014	92	7	k(x	k(x	PROPN
ejpam-4014	92	8	,	,	PUNCT
ejpam-4014	92	9	t)ϕp0(t)dt−	t)ϕp0(t)dt−	NOUN
ejpam-4014	92	10	ε	ε	PROPN
ejpam-4014	92	11	∫	∫	PROPN
ejpam-4014	92	12	x	x	SYM
ejpam-4014	92	13	0	0	NUM
ejpam-4014	92	14	k(x	k(x	PROPN
ejpam-4014	92	15	,	,	PUNCT
ejpam-4014	92	16	t)ψp0(t)dt	t)ψp0(t)dt	NOUN
ejpam-4014	92	17	=	=	PUNCT
ejpam-4014	92	18	ε	ε	PROPN
ejpam-4014	92	19	∫	∫	PROPN
ejpam-4014	92	20	x	x	SYM
ejpam-4014	92	21	0	0	PUNCT
ejpam-4014	92	22	k(x	k(x	PROPN
ejpam-4014	92	23	,	,	PUNCT
ejpam-4014	92	24	t)[ϕp0(t)−	t)[ϕp0(t)−	X
ejpam-4014	92	25	ψ	ψ	X
ejpam-4014	92	26	p	p	X
ejpam-4014	92	27	0(t)]dt	0(t)]dt	NOUN
ejpam-4014	92	28	=	=	SYM
ejpam-4014	92	29	0	0	NUM
ejpam-4014	93	1	φ2(x	φ2(x	NUM
ejpam-4014	93	2	)	)	PUNCT
ejpam-4014	93	3	=	=	SYM
ejpam-4014	93	4	ε	ε	PROPN
ejpam-4014	93	5	∫	∫	PROPN
ejpam-4014	93	6	x	x	SYM
ejpam-4014	93	7	0	0	NUM
ejpam-4014	93	8	k(x	k(x	PROPN
ejpam-4014	93	9	,	,	PUNCT
ejpam-4014	93	10	t)pϕp−10	t)pϕp−10	X
ejpam-4014	93	11	(	(	PUNCT
ejpam-4014	93	12	t)ϕ1(t)dt−	t)ϕ1(t)dt−	ADP
ejpam-4014	93	13	ε2	ε2	ADJ
ejpam-4014	93	14	∫	∫	PROPN
ejpam-4014	93	15	x	x	SYM
ejpam-4014	93	16	0	0	NUM
ejpam-4014	93	17	k(x	k(x	PROPN
ejpam-4014	93	18	,	,	PUNCT
ejpam-4014	93	19	t)pψp−10	t)pψp−10	NOUN
ejpam-4014	93	20	(	(	PUNCT
ejpam-4014	93	21	t)ψ1(t)]dt	t)ψ1(t)]dt	X
ejpam-4014	93	22	=	=	SYM
ejpam-4014	93	23	ε	ε	PROPN
ejpam-4014	93	24	∫	∫	PROPN
ejpam-4014	93	25	x	x	SYM
ejpam-4014	93	26	0	0	NUM
ejpam-4014	93	27	k(x	k(x	PROPN
ejpam-4014	93	28	,	,	PUNCT
ejpam-4014	93	29	t)[pfp−10	t)[pfp−10	X
ejpam-4014	93	30	(	(	PUNCT
ejpam-4014	93	31	t)[ϕ1(t)−	t)[ϕ1(t)−	PROPN
ejpam-4014	93	32	εψ1(t)]dt	εψ1(t)]dt	ADV
ejpam-4014	93	33	=	=	SYM
ejpam-4014	93	34	0	0	NUM
ejpam-4014	93	35	...	...	PUNCT
ejpam-4014	93	36	φn(x	φn(x	PUNCT
ejpam-4014	93	37	)	)	PUNCT
ejpam-4014	94	1	=	=	SYM
ejpam-4014	94	2	ϕn(x)−	ϕn(x)−	NOUN
ejpam-4014	94	3	εnψn(x	εnψn(x	PROPN
ejpam-4014	94	4	)	)	PUNCT
ejpam-4014	94	5	=	=	SYM
ejpam-4014	94	6	0,∀n	0,∀n	PROPN
ejpam-4014	94	7	≥	≥	NOUN
ejpam-4014	94	8	0	0	NUM
ejpam-4014	95	1	we	we	PRON
ejpam-4014	95	2	have	have	VERB
ejpam-4014	95	3	∑	∑	ADV
ejpam-4014	95	4	n≥0	n≥0	ADJ
ejpam-4014	95	5	φn(x	φn(x	NUM
ejpam-4014	95	6	)	)	PUNCT
ejpam-4014	95	7	=	=	SYM
ejpam-4014	96	1	0	0	NUM
ejpam-4014	96	2	⇐	⇐	ADJ
ejpam-4014	96	3	⇒	⇒	NOUN
ejpam-4014	96	4	∑	∑	PUNCT
ejpam-4014	96	5	n≥0	n≥0	PROPN
ejpam-4014	96	6	[	[	X
ejpam-4014	96	7	ϕn(x)−	ϕn(x)−	NOUN
ejpam-4014	96	8	εnψn(x	εnψn(x	PROPN
ejpam-4014	96	9	)	)	PUNCT
ejpam-4014	96	10	]	]	PUNCT
ejpam-4014	97	1	=	=	SYM
ejpam-4014	97	2	0	0	NUM
ejpam-4014	97	3	⇐	⇐	ADJ
ejpam-4014	97	4	⇒	⇒	NOUN
ejpam-4014	97	5	∑	∑	PUNCT
ejpam-4014	97	6	n≥0	n≥0	ADP
ejpam-4014	97	7	[	[	X
ejpam-4014	97	8	ϕn(x	ϕn(x	X
ejpam-4014	97	9	)	)	PUNCT
ejpam-4014	97	10	=	=	PUNCT
ejpam-4014	98	1	∑	∑	PUNCT
ejpam-4014	98	2	n≥0	n≥0	ADJ
ejpam-4014	98	3	εnψn(x)]	εnψn(x)]	ADV
ejpam-4014	98	4	⇐	⇐	ADJ
ejpam-4014	98	5	⇒	⇒	NOUN
ejpam-4014	98	6	ϕ(x	ϕ(x	X
ejpam-4014	98	7	)	)	PUNCT
ejpam-4014	98	8	=	=	SYM
ejpam-4014	98	9	ψ(x	ψ(x	NOUN
ejpam-4014	98	10	)	)	PUNCT
ejpam-4014	98	11	and	and	CCONJ
ejpam-4014	98	12	ϕ	ϕ	X
ejpam-4014	98	13	=	=	SYM
ejpam-4014	98	14	ψ∀x	ψ∀x	SYM
ejpam-4014	98	15	∈	∈	NOUN
ejpam-4014	98	16	σt	σt	ADP
ejpam-4014	98	17	=	=	PUNCT
ejpam-4014	99	1	[	[	X
ejpam-4014	99	2	a;t	a;t	X
ejpam-4014	99	3	]	]	PUNCT
ejpam-4014	99	4	.	.	PUNCT
ejpam-4014	100	1	and	and	CCONJ
ejpam-4014	100	2	thus	thus	ADV
ejpam-4014	100	3	ω(x	ω(x	NOUN
ejpam-4014	100	4	)	)	PUNCT
ejpam-4014	100	5	=	=	SYM
ejpam-4014	100	6	ϕ(x)−	ϕ(x)−	PROPN
ejpam-4014	100	7	ψ(x	ψ(x	NOUN
ejpam-4014	100	8	)	)	PUNCT
ejpam-4014	101	1	=	=	SYM
ejpam-4014	101	2	0⇔	0⇔	NOUN
ejpam-4014	101	3	ϕ(x	ϕ(x	NOUN
ejpam-4014	101	4	)	)	PUNCT
ejpam-4014	101	5	=	=	SYM
ejpam-4014	101	6	ψ(x	ψ(x	NOUN
ejpam-4014	101	7	)	)	PUNCT
ejpam-4014	101	8	and	and	CCONJ
ejpam-4014	101	9	ϕ	ϕ	X
ejpam-4014	101	10	=	=	X
ejpam-4014	101	11	ψ,∀x	ψ,∀x	NOUN
ejpam-4014	101	12	∈	∈	NOUN
ejpam-4014	101	13	σt	σt	ADP
ejpam-4014	101	14	=	=	PUNCT
ejpam-4014	102	1	[	[	X
ejpam-4014	102	2	a;t	a;t	X
ejpam-4014	102	3	]	]	PUNCT
ejpam-4014	102	4	.	.	PUNCT
ejpam-4014	103	1	this	this	PRON
ejpam-4014	103	2	proves	prove	VERB
ejpam-4014	103	3	that	that	SCONJ
ejpam-4014	103	4	t	t	NOUN
ejpam-4014	103	5	of	of	ADP
ejpam-4014	103	6	the	the	DET
ejpam-4014	103	7	adomian	adomian	NOUN
ejpam-4014	103	8	decomposition	decomposition	NOUN
ejpam-4014	103	9	algorithm	algorithm	NOUN
ejpam-4014	103	10	and	and	CCONJ
ejpam-4014	103	11	regular	regular	ADJ
ejpam-4014	103	12	perturbation	perturbation	NOUN
ejpam-4014	103	13	method	method	NOUN
ejpam-4014	103	14	converges	converge	VERB
ejpam-4014	103	15	to	to	ADP
ejpam-4014	103	16	the	the	DET
ejpam-4014	103	17	same	same	ADJ
ejpam-4014	103	18	solution	solution	NOUN
ejpam-4014	103	19	.	.	PUNCT
ejpam-4014	104	1	3	3	X
ejpam-4014	104	2	.	.	X
ejpam-4014	104	3	numerical	numerical	ADJ
ejpam-4014	104	4	examples	example	NOUN
ejpam-4014	104	5	3.1	3.1	NUM
ejpam-4014	104	6	.	.	PUNCT
ejpam-4014	104	7	example	example	NOUN
ejpam-4014	104	8	1	1	NUM
ejpam-4014	104	9	let	let	VERB
ejpam-4014	104	10	’s	’s	NOUN
ejpam-4014	104	11	consider	consider	VERB
ejpam-4014	104	12	the	the	DET
ejpam-4014	104	13	following	follow	VERB
ejpam-4014	104	14	non	non	ADJ
ejpam-4014	104	15	linear	linear	ADJ
ejpam-4014	104	16	integral	integral	ADJ
ejpam-4014	104	17	equation	equation	NOUN
ejpam-4014	104	18	of	of	ADP
ejpam-4014	104	19	second	second	ADJ
ejpam-4014	104	20	kind	kind	NOUN
ejpam-4014	104	21	of	of	ADP
ejpam-4014	104	22	volterra	volterra	NOUN
ejpam-4014	104	23	:	:	PUNCT
ejpam-4014	104	24	ϕ(x	ϕ(x	X
ejpam-4014	104	25	)	)	PUNCT
ejpam-4014	104	26	=	=	PUNCT
ejpam-4014	105	1	√	√	NUM
ejpam-4014	105	2	x−	x−	PROPN
ejpam-4014	105	3	16	16	NUM
ejpam-4014	105	4	15	15	NUM
ejpam-4014	105	5	εx2	εx2	NOUN
ejpam-4014	105	6	√	√	PROPN
ejpam-4014	105	7	x+	x+	PROPN
ejpam-4014	105	8	ε	ε	PROPN
ejpam-4014	105	9	∫	∫	PROPN
ejpam-4014	105	10	x	x	PROPN
ejpam-4014	105	11	0	0	NUM
ejpam-4014	105	12	ϕ4(t)√	ϕ4(t)√	PROPN
ejpam-4014	105	13	x−	x−	PROPN
ejpam-4014	105	14	t	t	PROPN
ejpam-4014	105	15	dt	dt	PROPN
ejpam-4014	105	16	;	;	PUNCT
ejpam-4014	105	17	0	0	NUM
ejpam-4014	105	18	<	<	X
ejpam-4014	105	19	ε	ε	X
ejpam-4014	105	20	�	�	PROPN
ejpam-4014	105	21	1	1	NUM
ejpam-4014	105	22	(	(	PUNCT
ejpam-4014	105	23	13	13	NUM
ejpam-4014	105	24	)	)	PUNCT
ejpam-4014	105	25	•	•	NOUN
ejpam-4014	105	26	solving	solving	NOUN
ejpam-4014	105	27	by	by	ADP
ejpam-4014	105	28	the	the	DET
ejpam-4014	105	29	adomian	adomian	NOUN
ejpam-4014	105	30	decomposition	decomposition	NOUN
ejpam-4014	105	31	method	method	NOUN
ejpam-4014	105	32	applying	apply	VERB
ejpam-4014	105	33	the	the	DET
ejpam-4014	105	34	adomian	adomian	NOUN
ejpam-4014	105	35	algorithm	algorithm	NOUN
ejpam-4014	105	36	,	,	PUNCT
ejpam-4014	105	37	it	it	PRON
ejpam-4014	105	38	follows	follow	VERB
ejpam-4014	105	39	that	that	SCONJ
ejpam-4014	105	40	(	(	PUNCT
ejpam-4014	105	41	13	13	X
ejpam-4014	105	42	)	)	PUNCT
ejpam-4014	106	1	y.	y.	NOUN
ejpam-4014	106	2	paré	paré	PROPN
ejpam-4014	106	3	et	et	PROPN
ejpam-4014	106	4	al	al	PROPN
ejpam-4014	106	5	.	.	PUNCT
ejpam-4014	106	6	/	/	SYM
ejpam-4014	106	7	eur	eur	PROPN
ejpam-4014	106	8	.	.	PUNCT
ejpam-4014	107	1	j.	j.	PROPN
ejpam-4014	107	2	pure	pure	PROPN
ejpam-4014	107	3	appl	appl	PROPN
ejpam-4014	107	4	.	.	PROPN
ejpam-4014	107	5	math	math	PROPN
ejpam-4014	107	6	,	,	PUNCT
ejpam-4014	107	7	14	14	NUM
ejpam-4014	107	8	(	(	PUNCT
ejpam-4014	107	9	3	3	NUM
ejpam-4014	107	10	)	)	PUNCT
ejpam-4014	107	11	(	(	PUNCT
ejpam-4014	107	12	2021	2021	NUM
ejpam-4014	107	13	)	)	PUNCT
ejpam-4014	107	14	,	,	PUNCT
ejpam-4014	107	15	1044	1044	NUM
ejpam-4014	107	16	-	-	SYM
ejpam-4014	107	17	1056	1056	NUM
ejpam-4014	107	18	1050	1050	NUM
ejpam-4014	107	19			NUM
ejpam-4014	107	20	ϕ0(x	ϕ0(x	NUM
ejpam-4014	107	21	)	)	PUNCT
ejpam-4014	107	22	=	=	SYM
ejpam-4014	108	1	√	√	NUM
ejpam-4014	108	2	x	x	SYM
ejpam-4014	108	3	ϕ1(x	ϕ1(x	X
ejpam-4014	108	4	)	)	PUNCT
ejpam-4014	108	5	=	=	PUNCT
ejpam-4014	109	1	−16	−16	PRON
ejpam-4014	110	1	15εx	15εx	NOUN
ejpam-4014	110	2	2√x+	2√x+	NUM
ejpam-4014	110	3	ε	ε	PROPN
ejpam-4014	110	4	∫	∫	PROPN
ejpam-4014	110	5	x	x	SYM
ejpam-4014	110	6	0	0	PUNCT
ejpam-4014	110	7	a0(t)√	a0(t)√	ADV
ejpam-4014	110	8	x−	x−	PROPN
ejpam-4014	110	9	t	t	PROPN
ejpam-4014	110	10	dt	dt	X
ejpam-4014	110	11	...	...	PUNCT
ejpam-4014	111	1	ϕn(x	ϕn(x	X
ejpam-4014	111	2	)	)	PUNCT
ejpam-4014	111	3	=	=	PUNCT
ejpam-4014	111	4	ε	ε	PROPN
ejpam-4014	111	5	∫	∫	PROPN
ejpam-4014	111	6	x	x	SYM
ejpam-4014	111	7	0	0	NUM
ejpam-4014	111	8	an−1(t)√	an−1(t)√	PROPN
ejpam-4014	111	9	x−	x−	PROPN
ejpam-4014	111	10	t	t	PROPN
ejpam-4014	111	11	dt	dt	PROPN
ejpam-4014	111	12	,	,	PUNCT
ejpam-4014	111	13	n	n	X
ejpam-4014	111	14	≥	≥	NUM
ejpam-4014	111	15	2	2	NUM
ejpam-4014	111	16	(	(	PUNCT
ejpam-4014	111	17	14	14	NUM
ejpam-4014	111	18	)	)	PUNCT
ejpam-4014	111	19	where	where	SCONJ
ejpam-4014	111	20			PROPN
ejpam-4014	111	21	a0=	a0=	PROPN
ejpam-4014	111	22	ϕ4	ϕ4	NOUN
ejpam-4014	111	23	0	0	NUM
ejpam-4014	112	1	a1=	a1=	PROPN
ejpam-4014	112	2	4ϕ3	4ϕ3	NUM
ejpam-4014	112	3	0	0	NUM
ejpam-4014	112	4	ϕ1	ϕ1	NOUN
ejpam-4014	112	5	a2=4ϕ3	a2=4ϕ3	NOUN
ejpam-4014	112	6	0ϕ2	0ϕ2	NUM
ejpam-4014	112	7	+	+	NOUN
ejpam-4014	112	8	6ϕ2	6ϕ2	NUM
ejpam-4014	112	9	0ϕ	0ϕ	ADJ
ejpam-4014	112	10	2	2	NUM
ejpam-4014	112	11	1	1	NUM
ejpam-4014	112	12	...	...	PUNCT
ejpam-4014	112	13	an=	an=	PROPN
ejpam-4014	112	14	1	1	NUM
ejpam-4014	113	1	n	n	NOUN
ejpam-4014	113	2	!	!	PUNCT
ejpam-4014	114	1	[	[	PUNCT
ejpam-4014	114	2	∂n(λkϕk	∂n(λkϕk	NOUN
ejpam-4014	114	3	)	)	PUNCT
ejpam-4014	114	4	p	p	NOUN
ejpam-4014	115	1	∂λn	∂λn	PROPN
ejpam-4014	115	2	]	]	X
ejpam-4014	115	3	λ=0	λ=0	X
ejpam-4014	115	4	(	(	PUNCT
ejpam-4014	115	5	15	15	NUM
ejpam-4014	115	6	)	)	PUNCT
ejpam-4014	115	7	computation	computation	NOUN
ejpam-4014	115	8	of	of	ADP
ejpam-4014	115	9	ε	ε	PROPN
ejpam-4014	115	10	∫	∫	PROPN
ejpam-4014	115	11	x	x	PROPN
ejpam-4014	115	12	0	0	PROPN
ejpam-4014	116	1	a0(t)√	a0(t)√	ADV
ejpam-4014	116	2	x−	x−	PROPN
ejpam-4014	116	3	t	t	PROPN
ejpam-4014	116	4	dt	dt	AUX
ejpam-4014	116	5	let	let	VERB
ejpam-4014	116	6	’s	’s	PRON
ejpam-4014	116	7	take	take	VERB
ejpam-4014	116	8	t	t	NOUN
ejpam-4014	116	9	=	=	SYM
ejpam-4014	116	10	x−	x−	PROPN
ejpam-4014	116	11	t	t	PROPN
ejpam-4014	116	12	and	and	CCONJ
ejpam-4014	116	13	integrating	integrating	NOUN
ejpam-4014	116	14	,	,	PUNCT
ejpam-4014	116	15	we	we	PRON
ejpam-4014	116	16	get	get	VERB
ejpam-4014	116	17	:	:	PUNCT
ejpam-4014	116	18	ε	ε	PROPN
ejpam-4014	116	19	∫	∫	PROPN
ejpam-4014	116	20	x	x	SYM
ejpam-4014	116	21	0	0	PROPN
ejpam-4014	117	1	a0(t)√	a0(t)√	ADV
ejpam-4014	118	1	x−	x−	PROPN
ejpam-4014	118	2	t	t	PROPN
ejpam-4014	118	3	dt	dt	NOUN
ejpam-4014	118	4	=	=	SYM
ejpam-4014	118	5	ε	ε	PROPN
ejpam-4014	118	6	∫	∫	PROPN
ejpam-4014	118	7	x	x	SYM
ejpam-4014	118	8	0	0	PROPN
ejpam-4014	118	9	ϕ4	ϕ4	PROPN
ejpam-4014	118	10	0(t)√	0(t)√	PROPN
ejpam-4014	118	11	x−	x−	PROPN
ejpam-4014	118	12	t	t	PROPN
ejpam-4014	118	13	dt	dt	NOUN
ejpam-4014	119	1	=	=	SYM
ejpam-4014	119	2	ε	ε	PROPN
ejpam-4014	119	3	∫	∫	PROPN
ejpam-4014	119	4	x	x	SYM
ejpam-4014	119	5	0	0	PROPN
ejpam-4014	119	6	t2√	t2√	PROPN
ejpam-4014	119	7	x−	x−	PROPN
ejpam-4014	119	8	t	t	PROPN
ejpam-4014	120	1	dt	dt	PROPN
ejpam-4014	120	2	=	=	SYM
ejpam-4014	120	3	ε	ε	PROPN
ejpam-4014	120	4	∫	∫	PROPN
ejpam-4014	120	5	x	x	X
ejpam-4014	120	6	0	0	PUNCT
ejpam-4014	120	7	(	(	PUNCT
ejpam-4014	120	8	x−	x−	PROPN
ejpam-4014	120	9	t	t	PROPN
ejpam-4014	120	10	)	)	PUNCT
ejpam-4014	120	11	2	2	NUM
ejpam-4014	120	12	t	t	NOUN
ejpam-4014	120	13	−1	−1	NOUN
ejpam-4014	120	14	2	2	NUM
ejpam-4014	120	15	dt	dt	NOUN
ejpam-4014	120	16	=	=	SYM
ejpam-4014	120	17	16	16	NUM
ejpam-4014	120	18	15	15	NUM
ejpam-4014	120	19	εx2	εx2	NOUN
ejpam-4014	120	20	√	√	NUM
ejpam-4014	120	21	x	x	PUNCT
ejpam-4014	120	22	by	by	ADP
ejpam-4014	120	23	induction	induction	NOUN
ejpam-4014	120	24	on	on	ADP
ejpam-4014	120	25	n	n	PROPN
ejpam-4014	120	26	,	,	PUNCT
ejpam-4014	120	27	we	we	PRON
ejpam-4014	120	28	get:	get:	VERB
ejpam-4014	120	29	ϕ0(x	ϕ0(x	NUM
ejpam-4014	120	30	)	)	PUNCT
ejpam-4014	120	31	=	=	SYM
ejpam-4014	121	1	√	√	NUM
ejpam-4014	121	2	x	x	SYM
ejpam-4014	121	3	ϕ1(x	ϕ1(x	X
ejpam-4014	121	4	)	)	PUNCT
ejpam-4014	121	5	=	=	SYM
ejpam-4014	122	1	−16	−16	PROPN
ejpam-4014	122	2	15	15	NUM
ejpam-4014	122	3	εx2	εx2	NOUN
ejpam-4014	122	4	√	√	PROPN
ejpam-4014	122	5	x+	x+	PROPN
ejpam-4014	123	1	ε	ε	PROPN
ejpam-4014	123	2	∫	∫	PROPN
ejpam-4014	123	3	x	x	PROPN
ejpam-4014	123	4	0	0	PUNCT
ejpam-4014	124	1	a0(t)√	a0(t)√	ADV
ejpam-4014	124	2	x−	x−	PROPN
ejpam-4014	124	3	t	t	PROPN
ejpam-4014	125	1	dt	dt	PROPN
ejpam-4014	126	1	=	=	SYM
ejpam-4014	126	2	−16	−16	PROPN
ejpam-4014	126	3	15	15	NUM
ejpam-4014	126	4	εx2	εx2	NOUN
ejpam-4014	126	5	√	√	PROPN
ejpam-4014	126	6	x+	x+	NUM
ejpam-4014	126	7	16	16	NUM
ejpam-4014	126	8	15	15	NUM
ejpam-4014	126	9	εx2	εx2	NOUN
ejpam-4014	126	10	√	√	PUNCT
ejpam-4014	126	11	x	x	SYM
ejpam-4014	127	1	=	=	SYM
ejpam-4014	127	2	0	0	NUM
ejpam-4014	127	3	ϕ2(x	ϕ2(x	NOUN
ejpam-4014	127	4	)	)	PUNCT
ejpam-4014	128	1	=	=	PUNCT
ejpam-4014	128	2	ε	ε	PROPN
ejpam-4014	128	3	∫	∫	PROPN
ejpam-4014	128	4	x	x	SYM
ejpam-4014	128	5	0	0	NUM
ejpam-4014	128	6	a1(t)√	a1(t)√	PROPN
ejpam-4014	128	7	x−	x−	PROPN
ejpam-4014	128	8	t	t	PROPN
ejpam-4014	128	9	dt	dt	NOUN
ejpam-4014	129	1	=	=	SYM
ejpam-4014	129	2	ε	ε	PROPN
ejpam-4014	129	3	∫	∫	PROPN
ejpam-4014	129	4	x	x	X
ejpam-4014	129	5	0	0	PROPN
ejpam-4014	129	6	4ϕ3	4ϕ3	NUM
ejpam-4014	129	7	0	0	NUM
ejpam-4014	130	1	(	(	PUNCT
ejpam-4014	130	2	t)ϕ1(t)√	t)ϕ1(t)√	NOUN
ejpam-4014	130	3	x−	x−	PROPN
ejpam-4014	130	4	t	t	PROPN
ejpam-4014	130	5	dt	dt	NOUN
ejpam-4014	131	1	=	=	SYM
ejpam-4014	131	2	0	0	NUM
ejpam-4014	131	3	ϕ3(x	ϕ3(x	PROPN
ejpam-4014	131	4	)	)	PUNCT
ejpam-4014	131	5	=	=	SYM
ejpam-4014	131	6	ε	ε	PROPN
ejpam-4014	131	7	∫	∫	PROPN
ejpam-4014	131	8	x	x	SYM
ejpam-4014	131	9	0	0	NUM
ejpam-4014	131	10	a2(t)√	a2(t)√	PROPN
ejpam-4014	131	11	x−	x−	PROPN
ejpam-4014	131	12	t	t	PROPN
ejpam-4014	131	13	dt	dt	NOUN
ejpam-4014	132	1	=	=	SYM
ejpam-4014	132	2	ε	ε	PROPN
ejpam-4014	132	3	∫	∫	PROPN
ejpam-4014	132	4	x	x	X
ejpam-4014	132	5	0	0	PUNCT
ejpam-4014	133	1	[	[	X
ejpam-4014	133	2	4ϕ3	4ϕ3	NUM
ejpam-4014	133	3	0(t)ϕ2(t)+6ϕ2	0(t)ϕ2(t)+6ϕ2	SYM
ejpam-4014	133	4	0(t)ϕ	0(t)ϕ	NUM
ejpam-4014	133	5	2	2	NUM
ejpam-4014	133	6	1(t)]√	1(t)]√	NUM
ejpam-4014	133	7	x−	x−	PROPN
ejpam-4014	133	8	t	t	PROPN
ejpam-4014	133	9	dt	dt	NOUN
ejpam-4014	134	1	=	=	SYM
ejpam-4014	134	2	0	0	NUM
ejpam-4014	134	3	...	...	PUNCT
ejpam-4014	134	4	ϕp(x	ϕp(x	X
ejpam-4014	134	5	)	)	PUNCT
ejpam-4014	135	1	=	=	SYM
ejpam-4014	135	2	0	0	NUM
ejpam-4014	135	3	,	,	PUNCT
ejpam-4014	135	4	∀	∀	X
ejpam-4014	135	5	n	n	PRON
ejpam-4014	135	6	≥	≥	NOUN
ejpam-4014	135	7	1	1	NUM
ejpam-4014	135	8	(	(	PUNCT
ejpam-4014	135	9	16	16	NUM
ejpam-4014	135	10	)	)	PUNCT
ejpam-4014	135	11	let	let	VERB
ejpam-4014	135	12	’s	’s	NOUN
ejpam-4014	135	13	put	put	VERB
ejpam-4014	135	14	ϕ(x	ϕ(x	NOUN
ejpam-4014	135	15	)	)	PUNCT
ejpam-4014	135	16	=	=	PUNCT
ejpam-4014	136	1	∑	∑	PUNCT
ejpam-4014	136	2	n≥0	n≥0	PROPN
ejpam-4014	136	3	ϕn(x	ϕn(x	PRON
ejpam-4014	136	4	)	)	PUNCT
ejpam-4014	136	5	y.	y.	NOUN
ejpam-4014	136	6	paré	paré	PROPN
ejpam-4014	137	1	et	et	PROPN
ejpam-4014	137	2	al	al	PROPN
ejpam-4014	137	3	.	.	PUNCT
ejpam-4014	137	4	/	/	SYM
ejpam-4014	137	5	eur	eur	PROPN
ejpam-4014	137	6	.	.	PUNCT
ejpam-4014	138	1	j.	j.	PROPN
ejpam-4014	138	2	pure	pure	PROPN
ejpam-4014	138	3	appl	appl	PROPN
ejpam-4014	138	4	.	.	PROPN
ejpam-4014	138	5	math	math	PROPN
ejpam-4014	138	6	,	,	PUNCT
ejpam-4014	138	7	14	14	NUM
ejpam-4014	138	8	(	(	PUNCT
ejpam-4014	138	9	3	3	NUM
ejpam-4014	138	10	)	)	PUNCT
ejpam-4014	138	11	(	(	PUNCT
ejpam-4014	138	12	2021	2021	NUM
ejpam-4014	138	13	)	)	PUNCT
ejpam-4014	138	14	,	,	PUNCT
ejpam-4014	138	15	1044	1044	NUM
ejpam-4014	138	16	-	-	SYM
ejpam-4014	138	17	1056	1056	NUM
ejpam-4014	138	18	1051	1051	NUM
ejpam-4014	138	19	=	=	SYM
ejpam-4014	138	20	ϕ0(x	ϕ0(x	NUM
ejpam-4014	138	21	)	)	PUNCT
ejpam-4014	138	22	then	then	ADV
ejpam-4014	138	23	the	the	DET
ejpam-4014	138	24	exact	exact	ADJ
ejpam-4014	138	25	solution	solution	NOUN
ejpam-4014	138	26	of	of	ADP
ejpam-4014	138	27	the	the	DET
ejpam-4014	138	28	problem	problem	NOUN
ejpam-4014	138	29	(	(	PUNCT
ejpam-4014	138	30	13	13	NUM
ejpam-4014	138	31	)	)	PUNCT
ejpam-4014	138	32	is	be	AUX
ejpam-4014	138	33	:	:	PUNCT
ejpam-4014	138	34	ϕ(x	ϕ(x	X
ejpam-4014	138	35	)	)	PUNCT
ejpam-4014	138	36	=	=	PUNCT
ejpam-4014	139	1	√	√	NUM
ejpam-4014	139	2	x	x	SYM
ejpam-4014	139	3	,	,	PUNCT
ejpam-4014	139	4	(	(	PUNCT
ejpam-4014	139	5	17	17	NUM
ejpam-4014	139	6	)	)	PUNCT
ejpam-4014	139	7	•	•	NOUN
ejpam-4014	139	8	solving	solving	NOUN
ejpam-4014	139	9	by	by	ADP
ejpam-4014	139	10	the	the	DET
ejpam-4014	139	11	regular	regular	ADJ
ejpam-4014	139	12	perturbation	perturbation	NOUN
ejpam-4014	139	13	method	method	NOUN
ejpam-4014	139	14	let	let	VERB
ejpam-4014	139	15	us	we	PRON
ejpam-4014	139	16	search	search	VERB
ejpam-4014	139	17	the	the	DET
ejpam-4014	139	18	solution	solution	NOUN
ejpam-4014	139	19	of	of	ADP
ejpam-4014	139	20	(	(	PUNCT
ejpam-4014	139	21	13	13	NUM
ejpam-4014	139	22	)	)	PUNCT
ejpam-4014	139	23	by	by	ADP
ejpam-4014	139	24	an	an	DET
ejpam-4014	139	25	asymptotic	asymptotic	ADJ
ejpam-4014	139	26	expression	expression	NOUN
ejpam-4014	139	27	:	:	PUNCT
ejpam-4014	139	28	ϕ	ϕ	NOUN
ejpam-4014	139	29	ϕ(x	ϕ(x	PROPN
ejpam-4014	139	30	)	)	PUNCT
ejpam-4014	139	31	=	=	PUNCT
ejpam-4014	140	1	∑	∑	PUNCT
ejpam-4014	140	2	n≥0	n≥0	PROPN
ejpam-4014	140	3	εnϕn(x	εnϕn(x	PROPN
ejpam-4014	140	4	)	)	PUNCT
ejpam-4014	140	5	(	(	PUNCT
ejpam-4014	140	6	18	18	NUM
ejpam-4014	140	7	)	)	PUNCT
ejpam-4014	140	8	where	where	SCONJ
ejpam-4014	140	9	ε	ε	PROPN
ejpam-4014	140	10	is	be	AUX
ejpam-4014	140	11	a	a	DET
ejpam-4014	140	12	small	small	ADJ
ejpam-4014	140	13	parameter	parameter	NOUN
ejpam-4014	140	14	of	of	ADP
ejpam-4014	140	15	the	the	DET
ejpam-4014	140	16	problem	problem	NOUN
ejpam-4014	140	17	.	.	PUNCT
ejpam-4014	141	1	let	let	VERB
ejpam-4014	141	2	’s	’s	PRON
ejpam-4014	141	3	introduce	introduce	VERB
ejpam-4014	141	4	(	(	PUNCT
ejpam-4014	141	5	18	18	NUM
ejpam-4014	141	6	)	)	PUNCT
ejpam-4014	141	7	to	to	ADP
ejpam-4014	141	8	(	(	PUNCT
ejpam-4014	141	9	13	13	NUM
ejpam-4014	141	10	)	)	PUNCT
ejpam-4014	141	11	,	,	PUNCT
ejpam-4014	141	12	we	we	PRON
ejpam-4014	141	13	get	get	VERB
ejpam-4014	141	14	:	:	PUNCT
ejpam-4014	141	15	∑	∑	PROPN
ejpam-4014	141	16	n≥0	n≥0	PROPN
ejpam-4014	141	17	εnϕn(x	εnϕn(x	PROPN
ejpam-4014	141	18	)	)	PUNCT
ejpam-4014	141	19	=	=	PUNCT
ejpam-4014	141	20	√	√	NUM
ejpam-4014	141	21	x−	x−	PROPN
ejpam-4014	141	22	16	16	NUM
ejpam-4014	141	23	15	15	NUM
ejpam-4014	141	24	εx2	εx2	NOUN
ejpam-4014	141	25	√	√	PROPN
ejpam-4014	141	26	x+	x+	PROPN
ejpam-4014	142	1	ε	ε	PROPN
ejpam-4014	142	2	∫	∫	PROPN
ejpam-4014	142	3	x	x	SYM
ejpam-4014	142	4	0	0	PROPN
ejpam-4014	142	5	(	(	PUNCT
ejpam-4014	142	6	∑	∑	PROPN
ejpam-4014	142	7	n≥0	n≥0	PROPN
ejpam-4014	142	8	ε	ε	PROPN
ejpam-4014	142	9	nϕn(t))4	nϕn(t))4	PROPN
ejpam-4014	142	10	√	√	PROPN
ejpam-4014	142	11	x−	x−	PROPN
ejpam-4014	142	12	t	t	PROPN
ejpam-4014	143	1	dt	dt	PROPN
ejpam-4014	143	2	;	;	PUNCT
ejpam-4014	143	3	(	(	PUNCT
ejpam-4014	143	4	19	19	NUM
ejpam-4014	143	5	)	)	PUNCT
ejpam-4014	143	6	using	use	VERB
ejpam-4014	143	7	binomial	binomial	ADJ
ejpam-4014	143	8	newton	newton	PROPN
ejpam-4014	143	9	formula	formula	NOUN
ejpam-4014	143	10	,	,	PUNCT
ejpam-4014	143	11	we	we	PRON
ejpam-4014	143	12	get	get	VERB
ejpam-4014	143	13	[	[	X
ejpam-4014	143	14	ϕ0+(εϕ1+ε	ϕ0+(εϕ1+ε	NOUN
ejpam-4014	143	15	2ϕ2	2ϕ2	NUM
ejpam-4014	143	16	)	)	PUNCT
ejpam-4014	143	17	]	]	PUNCT
ejpam-4014	143	18	4	4	NUM
ejpam-4014	143	19	=	=	SYM
ejpam-4014	143	20	ϕ4	ϕ4	NOUN
ejpam-4014	143	21	+	+	NOUN
ejpam-4014	143	22	4ϕ3	4ϕ3	NOUN
ejpam-4014	143	23	0(εϕ1+ε	0(εϕ1+ε	NOUN
ejpam-4014	144	1	2ϕ2)+6ϕ2	2ϕ2)+6ϕ2	NUM
ejpam-4014	144	2	0(ε	0(ε	NUM
ejpam-4014	144	3	2ϕ1	2ϕ1	NUM
ejpam-4014	144	4	+	+	SYM
ejpam-4014	144	5	2ε3ϕ1ϕ2+ε	2ε3ϕ1ϕ2+ε	NUM
ejpam-4014	144	6	4ϕ2	4ϕ2	NUM
ejpam-4014	144	7	2)+4ψ0(εϕ1+ε	2)+4ψ0(εϕ1+ε	NUM
ejpam-4014	144	8	2ϕ2	2ϕ2	NUM
ejpam-4014	144	9	)	)	PUNCT
ejpam-4014	144	10	3+(εϕ1+ε	3+(εϕ1+ε	NUM
ejpam-4014	144	11	2ϕ2	2ϕ2	NUM
ejpam-4014	144	12	)	)	PUNCT
ejpam-4014	144	13	4	4	NUM
ejpam-4014	144	14	..	..	PUNCT
ejpam-4014	144	15	by	by	ADP
ejpam-4014	144	16	identification	identification	NOUN
ejpam-4014	144	17	and	and	CCONJ
ejpam-4014	144	18	by	by	ADP
ejpam-4014	144	19	unfolging	unfolging	NOUN
ejpam-4014	144	20	according	accord	VERB
ejpam-4014	144	21	to	to	ADP
ejpam-4014	144	22	the	the	DET
ejpam-4014	144	23	growth	growth	NOUN
ejpam-4014	144	24	power	power	NOUN
ejpam-4014	144	25	of	of	ADP
ejpam-4014	144	26	ε	ε	PROPN
ejpam-4014	144	27	,	,	PUNCT
ejpam-4014	144	28	we	we	PRON
ejpam-4014	144	29	get	get	VERB
ejpam-4014	144	30	:	:	PUNCT
ejpam-4014	144	31			NUM
ejpam-4014	144	32	ε0	ε0	NOUN
ejpam-4014	144	33	:	:	PUNCT
ejpam-4014	144	34	ϕ0(x	ϕ0(x	X
ejpam-4014	144	35	)	)	PUNCT
ejpam-4014	144	36	=	=	SYM
ejpam-4014	145	1	√	√	NUM
ejpam-4014	145	2	x	x	PUNCT
ejpam-4014	145	3	ε1	ε1	PROPN
ejpam-4014	145	4	:	:	PUNCT
ejpam-4014	145	5	ϕ1(x	ϕ1(x	NUM
ejpam-4014	145	6	)	)	PUNCT
ejpam-4014	145	7	=	=	SYM
ejpam-4014	146	1	−16	−16	PROPN
ejpam-4014	146	2	15	15	NUM
ejpam-4014	146	3	εx2	εx2	NOUN
ejpam-4014	146	4	√	√	PROPN
ejpam-4014	146	5	x+	x+	NUM
ejpam-4014	146	6	∫	∫	PROPN
ejpam-4014	146	7	x	x	SYM
ejpam-4014	146	8	0	0	PROPN
ejpam-4014	146	9	ϕ4	ϕ4	PROPN
ejpam-4014	146	10	0(t)√	0(t)√	PROPN
ejpam-4014	146	11	x−	x−	PROPN
ejpam-4014	146	12	t	t	PROPN
ejpam-4014	146	13	dt	dt	NOUN
ejpam-4014	147	1	=	=	SYM
ejpam-4014	147	2	−16	−16	PROPN
ejpam-4014	147	3	15	15	NUM
ejpam-4014	148	1	x2	x2	NOUN
ejpam-4014	148	2	√	√	ADV
ejpam-4014	148	3	x+	x+	PUNCT
ejpam-4014	148	4	16	16	NUM
ejpam-4014	148	5	15	15	NUM
ejpam-4014	148	6	x2	x2	NOUN
ejpam-4014	149	1	√	√	ADJ
ejpam-4014	149	2	x	x	PUNCT
ejpam-4014	149	3	=	=	SYM
ejpam-4014	149	4	0	0	NUM
ejpam-4014	149	5	ε2	ε2	ADJ
ejpam-4014	149	6	:	:	PUNCT
ejpam-4014	149	7	ϕ2(x	ϕ2(x	X
ejpam-4014	149	8	)	)	PUNCT
ejpam-4014	149	9	=	=	SYM
ejpam-4014	150	1	∫	∫	PROPN
ejpam-4014	150	2	x	x	X
ejpam-4014	150	3	0	0	NUM
ejpam-4014	150	4	4ϕ3	4ϕ3	NUM
ejpam-4014	150	5	0(t)ϕ1(t)√	0(t)ϕ1(t)√	NUM
ejpam-4014	150	6	x−	x−	PROPN
ejpam-4014	150	7	t	t	PROPN
ejpam-4014	151	1	dt	dt	NOUN
ejpam-4014	151	2	=	=	SYM
ejpam-4014	151	3	0	0	NUM
ejpam-4014	151	4	ε3	ε3	ADJ
ejpam-4014	151	5	:	:	PUNCT
ejpam-4014	151	6	ϕ3(x	ϕ3(x	X
ejpam-4014	151	7	)	)	PUNCT
ejpam-4014	151	8	=	=	SYM
ejpam-4014	152	1	∫	∫	PROPN
ejpam-4014	152	2	x	x	X
ejpam-4014	152	3	0	0	PUNCT
ejpam-4014	153	1	[	[	X
ejpam-4014	153	2	4ϕ3	4ϕ3	NUM
ejpam-4014	153	3	0(t)ϕ2(t)+6ϕ2	0(t)ϕ2(t)+6ϕ2	SYM
ejpam-4014	153	4	0(t)ϕ	0(t)ϕ	NUM
ejpam-4014	153	5	2	2	NUM
ejpam-4014	153	6	1(t)]√	1(t)]√	NUM
ejpam-4014	153	7	x−	x−	PROPN
ejpam-4014	153	8	t	t	PROPN
ejpam-4014	153	9	dt	dt	NOUN
ejpam-4014	154	1	=	=	SYM
ejpam-4014	154	2	0	0	NUM
ejpam-4014	154	3	...	...	PUNCT
ejpam-4014	154	4	εn	εn	ADJ
ejpam-4014	154	5	:	:	PUNCT
ejpam-4014	154	6	ϕn(x	ϕn(x	X
ejpam-4014	154	7	)	)	PUNCT
ejpam-4014	155	1	=	=	SYM
ejpam-4014	155	2	0;∀	0;∀	SYM
ejpam-4014	155	3	n	n	CCONJ
ejpam-4014	155	4	≥	≥	NOUN
ejpam-4014	155	5	1	1	NUM
ejpam-4014	155	6	let	let	VERB
ejpam-4014	155	7	’s	’s	NOUN
ejpam-4014	155	8	put	put	VERB
ejpam-4014	155	9	ϕ(x	ϕ(x	NOUN
ejpam-4014	155	10	)	)	PUNCT
ejpam-4014	155	11	=	=	PUNCT
ejpam-4014	156	1	∑	∑	PUNCT
ejpam-4014	157	1	n≥0	n≥0	PROPN
ejpam-4014	157	2	εnϕn(x	εnϕn(x	PROPN
ejpam-4014	157	3	)	)	PUNCT
ejpam-4014	157	4	y.	y.	NOUN
ejpam-4014	157	5	paré	paré	PROPN
ejpam-4014	157	6	et	et	PROPN
ejpam-4014	157	7	al	al	PROPN
ejpam-4014	157	8	.	.	PUNCT
ejpam-4014	157	9	/	/	SYM
ejpam-4014	157	10	eur	eur	PROPN
ejpam-4014	157	11	.	.	PUNCT
ejpam-4014	158	1	j.	j.	PROPN
ejpam-4014	158	2	pure	pure	PROPN
ejpam-4014	158	3	appl	appl	PROPN
ejpam-4014	158	4	.	.	PROPN
ejpam-4014	158	5	math	math	PROPN
ejpam-4014	158	6	,	,	PUNCT
ejpam-4014	158	7	14	14	NUM
ejpam-4014	158	8	(	(	PUNCT
ejpam-4014	158	9	3	3	NUM
ejpam-4014	158	10	)	)	PUNCT
ejpam-4014	158	11	(	(	PUNCT
ejpam-4014	158	12	2021	2021	NUM
ejpam-4014	158	13	)	)	PUNCT
ejpam-4014	158	14	,	,	PUNCT
ejpam-4014	158	15	1044	1044	NUM
ejpam-4014	158	16	-	-	SYM
ejpam-4014	158	17	1056	1056	NUM
ejpam-4014	158	18	1052	1052	NUM
ejpam-4014	158	19	=	=	SYM
ejpam-4014	158	20	ϕ0(x	ϕ0(x	NUM
ejpam-4014	158	21	)	)	PUNCT
ejpam-4014	158	22	then	then	ADV
ejpam-4014	158	23	the	the	DET
ejpam-4014	158	24	exact	exact	ADJ
ejpam-4014	158	25	solution	solution	NOUN
ejpam-4014	158	26	of	of	ADP
ejpam-4014	158	27	the	the	DET
ejpam-4014	158	28	problem	problem	NOUN
ejpam-4014	158	29	(	(	PUNCT
ejpam-4014	158	30	13	13	NUM
ejpam-4014	158	31	)	)	PUNCT
ejpam-4014	158	32	is	be	AUX
ejpam-4014	158	33	:	:	PUNCT
ejpam-4014	158	34	ϕ(x	ϕ(x	X
ejpam-4014	158	35	)	)	PUNCT
ejpam-4014	158	36	=	=	PUNCT
ejpam-4014	159	1	√	√	NUM
ejpam-4014	159	2	x	x	SYM
ejpam-4014	159	3	,	,	PUNCT
ejpam-4014	159	4	(	(	PUNCT
ejpam-4014	159	5	20	20	NUM
ejpam-4014	159	6	)	)	PUNCT
ejpam-4014	159	7	3.2	3.2	NUM
ejpam-4014	159	8	.	.	PUNCT
ejpam-4014	159	9	example	example	NOUN
ejpam-4014	159	10	2	2	NUM
ejpam-4014	159	11	let	let	VERB
ejpam-4014	159	12	’s	’s	NOUN
ejpam-4014	159	13	consider	consider	VERB
ejpam-4014	159	14	the	the	PRON
ejpam-4014	159	15	following	follow	VERB
ejpam-4014	159	16	a	a	DET
ejpam-4014	159	17	system	system	NOUN
ejpam-4014	159	18	of	of	ADP
ejpam-4014	159	19	non	non	ADJ
ejpam-4014	159	20	linear	linear	ADJ
ejpam-4014	159	21	integral	integral	ADJ
ejpam-4014	159	22	equations	equation	NOUN
ejpam-4014	159	23	of	of	ADP
ejpam-4014	159	24	second	second	ADJ
ejpam-4014	159	25	kind	kind	NOUN
ejpam-4014	159	26	of	of	ADP
ejpam-4014	159	27	volterra	volterra	NOUN
ejpam-4014	159	28	:	:	PUNCT
ejpam-4014	159	29			NUM
ejpam-4014	159	30	u(x	u(x	NOUN
ejpam-4014	159	31	)	)	PUNCT
ejpam-4014	159	32	=	=	SYM
ejpam-4014	160	1	ex	ex	X
ejpam-4014	161	1	+	+	ADJ
ejpam-4014	161	2	ε(e−mx	ε(e−mx	NOUN
ejpam-4014	161	3	−	−	PROPN
ejpam-4014	161	4	ex	ex	NOUN
ejpam-4014	161	5	)	)	PUNCT
ejpam-4014	161	6	m+	m+	NUM
ejpam-4014	161	7	1	1	NUM
ejpam-4014	162	1	+	+	CCONJ
ejpam-4014	162	2	ε	ε	PROPN
ejpam-4014	162	3	∫	∫	PROPN
ejpam-4014	162	4	x	x	SYM
ejpam-4014	162	5	0	0	NUM
ejpam-4014	162	6	e	e	PROPN
ejpam-4014	162	7	x−tvm(t)dt	x−tvm(t)dt	PROPN
ejpam-4014	162	8	;	;	PUNCT
ejpam-4014	162	9	0	0	NUM
ejpam-4014	162	10	<	<	X
ejpam-4014	162	11	ε	ε	PROPN
ejpam-4014	162	12	�	�	PROPN
ejpam-4014	162	13	1;m	1;m	NUM
ejpam-4014	162	14	≥	≥	NOUN
ejpam-4014	162	15	2	2	NUM
ejpam-4014	162	16	v(x	v(x	PROPN
ejpam-4014	162	17	)	)	PUNCT
ejpam-4014	162	18	=	=	SYM
ejpam-4014	162	19	e−x	e−x	PROPN
ejpam-4014	162	20	−	−	PROPN
ejpam-4014	162	21	ε(e2mx	ε(e2mx	PROPN
ejpam-4014	162	22	−	−	PROPN
ejpam-4014	162	23	ex	ex	NOUN
ejpam-4014	162	24	)	)	PUNCT
ejpam-4014	162	25	2m−	2m−	NOUN
ejpam-4014	162	26	1	1	NUM
ejpam-4014	163	1	+	+	NUM
ejpam-4014	163	2	ε	ε	PROPN
ejpam-4014	163	3	∫	∫	PROPN
ejpam-4014	163	4	x	x	SYM
ejpam-4014	163	5	0	0	NUM
ejpam-4014	163	6	e	e	NOUN
ejpam-4014	163	7	x−twm(t)dt	x−twm(t)dt	PROPN
ejpam-4014	163	8	;	;	PUNCT
ejpam-4014	163	9	0	0	NUM
ejpam-4014	163	10	<	<	X
ejpam-4014	163	11	ε	ε	PROPN
ejpam-4014	163	12	�	�	PROPN
ejpam-4014	163	13	1;m	1;m	NUM
ejpam-4014	163	14	≥	≥	PROPN
ejpam-4014	163	15	2	2	NUM
ejpam-4014	163	16	w(x	w(x	NOUN
ejpam-4014	163	17	)	)	PUNCT
ejpam-4014	163	18	=	=	PUNCT
ejpam-4014	164	1	e2x	e2x	PRON
ejpam-4014	164	2	−	−	PROPN
ejpam-4014	164	3	ε(emx	ε(emx	PROPN
ejpam-4014	164	4	−	−	PROPN
ejpam-4014	164	5	ex	ex	NOUN
ejpam-4014	164	6	)	)	PUNCT
ejpam-4014	164	7	m−	m−	PROPN
ejpam-4014	164	8	1	1	NUM
ejpam-4014	164	9	+	+	CCONJ
ejpam-4014	164	10	ε	ε	PROPN
ejpam-4014	164	11	∫	∫	PROPN
ejpam-4014	164	12	x	x	SYM
ejpam-4014	164	13	0	0	NUM
ejpam-4014	164	14	e	e	X
ejpam-4014	164	15	x−tum(t)dt	x−tum(t)dt	PROPN
ejpam-4014	164	16	;	;	PUNCT
ejpam-4014	164	17	0	0	NUM
ejpam-4014	164	18	<	<	X
ejpam-4014	164	19	ε	ε	PROPN
ejpam-4014	164	20	�	�	PROPN
ejpam-4014	164	21	1;m	1;m	NUM
ejpam-4014	164	22	≥	≥	NOUN
ejpam-4014	164	23	2	2	NUM
ejpam-4014	164	24	(	(	PUNCT
ejpam-4014	164	25	21	21	NUM
ejpam-4014	164	26	)	)	PUNCT
ejpam-4014	164	27	•	•	NOUN
ejpam-4014	164	28	solving	solving	NOUN
ejpam-4014	164	29	by	by	ADP
ejpam-4014	164	30	the	the	DET
ejpam-4014	164	31	adomian	adomian	NOUN
ejpam-4014	164	32	decomposition	decomposition	NOUN
ejpam-4014	164	33	method	method	NOUN
ejpam-4014	164	34	applying	apply	VERB
ejpam-4014	164	35	the	the	DET
ejpam-4014	164	36	adomian	adomian	NOUN
ejpam-4014	164	37	algorithm	algorithm	NOUN
ejpam-4014	164	38	,	,	PUNCT
ejpam-4014	164	39	it	it	PRON
ejpam-4014	164	40	follows	follow	VERB
ejpam-4014	164	41	that	that	SCONJ
ejpam-4014	164	42	(	(	PUNCT
ejpam-4014	164	43	13	13	NUM
ejpam-4014	164	44	)	)	PUNCT
ejpam-4014	164	45	:	:	PUNCT
ejpam-4014	164	46			VERB
ejpam-4014	164	47	u0(x	u0(x	NOUN
ejpam-4014	164	48	)	)	PUNCT
ejpam-4014	164	49	=	=	X
ejpam-4014	165	1	ex	ex	X
ejpam-4014	165	2	u1(x	u1(x	NOUN
ejpam-4014	165	3	)	)	PUNCT
ejpam-4014	165	4	=	=	SYM
ejpam-4014	165	5	ε(e−mx	ε(e−mx	NOUN
ejpam-4014	165	6	−	−	PROPN
ejpam-4014	165	7	ex	ex	NOUN
ejpam-4014	165	8	)	)	PUNCT
ejpam-4014	165	9	m+	m+	NUM
ejpam-4014	165	10	1	1	NUM
ejpam-4014	166	1	+	+	CCONJ
ejpam-4014	166	2	ε	ε	PROPN
ejpam-4014	166	3	∫	∫	PROPN
ejpam-4014	166	4	x	x	SYM
ejpam-4014	166	5	0	0	NUM
ejpam-4014	166	6	e	e	NOUN
ejpam-4014	166	7	x−ta0(t)dt	x−ta0(t)dt	X
ejpam-4014	166	8	...	...	PUNCT
ejpam-4014	166	9	un(x	un(x	X
ejpam-4014	166	10	)	)	PUNCT
ejpam-4014	166	11	=	=	SYM
ejpam-4014	166	12	ε	ε	PROPN
ejpam-4014	166	13	∫	∫	PROPN
ejpam-4014	166	14	x	x	SYM
ejpam-4014	166	15	0	0	NUM
ejpam-4014	166	16	e	e	X
ejpam-4014	166	17	x−tan−1(t)dt	x−tan−1(t)dt	PROPN
ejpam-4014	166	18	n	n	X
ejpam-4014	166	19	≥	≥	NOUN
ejpam-4014	166	20	2	2	NUM
ejpam-4014	166	21			NOUN
ejpam-4014	166	22	v0(x	v0(x	NOUN
ejpam-4014	166	23	)	)	PUNCT
ejpam-4014	166	24	=	=	PUNCT
ejpam-4014	166	25	e−x	e−x	PROPN
ejpam-4014	166	26	v1(x	v1(x	NUM
ejpam-4014	166	27	)	)	PUNCT
ejpam-4014	166	28	=	=	SYM
ejpam-4014	167	1	−ε(e	−ε(e	PROPN
ejpam-4014	167	2	2mx	2mx	NOUN
ejpam-4014	167	3	−	−	PROPN
ejpam-4014	167	4	ex	ex	NOUN
ejpam-4014	167	5	)	)	PUNCT
ejpam-4014	167	6	2m−	2m−	NOUN
ejpam-4014	167	7	1	1	NUM
ejpam-4014	168	1	+	+	NUM
ejpam-4014	168	2	ε	ε	PROPN
ejpam-4014	168	3	∫	∫	PROPN
ejpam-4014	168	4	x	x	SYM
ejpam-4014	168	5	0	0	PROPN
ejpam-4014	168	6	e	e	X
ejpam-4014	168	7	x−tb0(t)dt	x−tb0(t)dt	PROPN
ejpam-4014	168	8	...	...	PUNCT
ejpam-4014	168	9	vn(x	vn(x	X
ejpam-4014	168	10	)	)	PUNCT
ejpam-4014	168	11	=	=	SYM
ejpam-4014	168	12	ε	ε	PROPN
ejpam-4014	168	13	∫	∫	PROPN
ejpam-4014	168	14	x	x	SYM
ejpam-4014	168	15	0	0	NUM
ejpam-4014	168	16	e	e	X
ejpam-4014	168	17	x−tbn−1(t)dt	x−tbn−1(t)dt	X
ejpam-4014	168	18	n	n	PROPN
ejpam-4014	168	19	≥	≥	NUM
ejpam-4014	168	20	2	2	NUM
ejpam-4014	168	21	(	(	PUNCT
ejpam-4014	168	22	22	22	NUM
ejpam-4014	168	23	)	)	PUNCT
ejpam-4014	168	24			NOUN
ejpam-4014	168	25	w0(x	w0(x	NOUN
ejpam-4014	168	26	)	)	PUNCT
ejpam-4014	168	27	=	=	PUNCT
ejpam-4014	168	28	e2x	e2x	NOUN
ejpam-4014	168	29	w1(x	w1(x	NUM
ejpam-4014	168	30	)	)	PUNCT
ejpam-4014	168	31	=	=	PUNCT
ejpam-4014	168	32	−ε(e	−ε(e	PROPN
ejpam-4014	168	33	mx	mx	PROPN
ejpam-4014	168	34	−	−	PROPN
ejpam-4014	168	35	ex	ex	NOUN
ejpam-4014	168	36	)	)	PUNCT
ejpam-4014	168	37	m−	m−	PROPN
ejpam-4014	168	38	1	1	NUM
ejpam-4014	169	1	+	+	CCONJ
ejpam-4014	169	2	ε	ε	PROPN
ejpam-4014	169	3	∫	∫	PROPN
ejpam-4014	169	4	x	x	SYM
ejpam-4014	169	5	0	0	NUM
ejpam-4014	169	6	e	e	X
ejpam-4014	169	7	x−tc0(t)dt	x−tc0(t)dt	X
ejpam-4014	169	8	...	...	PUNCT
ejpam-4014	170	1	wn(x	wn(x	X
ejpam-4014	170	2	)	)	PUNCT
ejpam-4014	170	3	=	=	SYM
ejpam-4014	170	4	ε	ε	PROPN
ejpam-4014	170	5	∫	∫	PROPN
ejpam-4014	170	6	x	x	SYM
ejpam-4014	170	7	0	0	NUM
ejpam-4014	170	8	e	e	X
ejpam-4014	170	9	x−tcn−1(t)dt	x−tcn−1(t)dt	PROPN
ejpam-4014	170	10	n	n	X
ejpam-4014	170	11	≥	≥	NUM
ejpam-4014	170	12	2	2	NUM
ejpam-4014	170	13	(	(	PUNCT
ejpam-4014	170	14	23	23	NUM
ejpam-4014	170	15	)	)	PUNCT
ejpam-4014	170	16	where	where	SCONJ
ejpam-4014	170	17	the	the	DET
ejpam-4014	170	18	adomian	adomian	NOUN
ejpam-4014	170	19	polynomial	polynomial	NOUN
ejpam-4014	170	20	’s	’s	PART
ejpam-4014	170	21	are	be	AUX
ejpam-4014	170	22	given	give	VERB
ejpam-4014	170	23	by:	by:	PROPN
ejpam-4014	170	24	a0=	a0=	PROPN
ejpam-4014	170	25	vm0	vm0	PRON
ejpam-4014	170	26	a1=	a1=	NOUN
ejpam-4014	170	27	mvm−10	mvm−10	ADJ
ejpam-4014	170	28	v1	v1	NOUN
ejpam-4014	170	29	a2=	a2=	PROPN
ejpam-4014	170	30	1	1	NUM
ejpam-4014	170	31	2m[2vm−10	2m[2vm−10	X
ejpam-4014	170	32	v2+(m−	v2+(m−	PROPN
ejpam-4014	170	33	1)vm−21	1)vm−21	NUM
ejpam-4014	170	34	v21	v21	PROPN
ejpam-4014	170	35	...	...	PUNCT
ejpam-4014	170	36	an=	an=	PROPN
ejpam-4014	170	37	1	1	NUM
ejpam-4014	170	38	n	n	NOUN
ejpam-4014	170	39	!	!	PUNCT
ejpam-4014	171	1	[	[	PUNCT
ejpam-4014	171	2	∂n(λkvk	∂n(λkvk	NOUN
ejpam-4014	171	3	)	)	PUNCT
ejpam-4014	171	4	m	m	VERB
ejpam-4014	172	1	∂λn	∂λn	NOUN
ejpam-4014	172	2	]	]	PUNCT
ejpam-4014	172	3	λ=0	λ=0	X
ejpam-4014	172	4			NUM
ejpam-4014	172	5	b0=	b0=	PROPN
ejpam-4014	172	6	wm0	wm0	NOUN
ejpam-4014	172	7	b1=	b1=	VERB
ejpam-4014	172	8	mwm−10	mwm−10	ADJ
ejpam-4014	172	9	w1	w1	NOUN
ejpam-4014	172	10	b2=	b2=	NOUN
ejpam-4014	172	11	1	1	NUM
ejpam-4014	172	12	2m[2wm−10	2m[2wm−10	NUM
ejpam-4014	172	13	w2+(m−	w2+(m−	PROPN
ejpam-4014	172	14	1)wm−21	1)wm−21	NUM
ejpam-4014	172	15	w2	w2	NOUN
ejpam-4014	172	16	1	1	NUM
ejpam-4014	172	17	...	...	PUNCT
ejpam-4014	172	18	bn=	bn=	ADJ
ejpam-4014	172	19	1	1	NUM
ejpam-4014	172	20	n	n	NOUN
ejpam-4014	172	21	!	!	PUNCT
ejpam-4014	173	1	[	[	PUNCT
ejpam-4014	173	2	∂n(λkwk	∂n(λkwk	NOUN
ejpam-4014	173	3	)	)	PUNCT
ejpam-4014	173	4	m	m	VERB
ejpam-4014	174	1	∂λn	∂λn	NOUN
ejpam-4014	174	2	]	]	X
ejpam-4014	174	3	λ=0	λ=0	X
ejpam-4014	174	4	(	(	PUNCT
ejpam-4014	174	5	24	24	NUM
ejpam-4014	174	6	)	)	PUNCT
ejpam-4014	174	7	y.	y.	NOUN
ejpam-4014	174	8	paré	paré	PROPN
ejpam-4014	174	9	et	et	PROPN
ejpam-4014	174	10	al	al	PROPN
ejpam-4014	174	11	.	.	PUNCT
ejpam-4014	174	12	/	/	SYM
ejpam-4014	174	13	eur	eur	PROPN
ejpam-4014	174	14	.	.	PUNCT
ejpam-4014	175	1	j.	j.	PROPN
ejpam-4014	175	2	pure	pure	PROPN
ejpam-4014	175	3	appl	appl	PROPN
ejpam-4014	175	4	.	.	PROPN
ejpam-4014	175	5	math	math	PROPN
ejpam-4014	175	6	,	,	PUNCT
ejpam-4014	175	7	14	14	NUM
ejpam-4014	175	8	(	(	PUNCT
ejpam-4014	175	9	3	3	NUM
ejpam-4014	175	10	)	)	PUNCT
ejpam-4014	175	11	(	(	PUNCT
ejpam-4014	175	12	2021	2021	NUM
ejpam-4014	175	13	)	)	PUNCT
ejpam-4014	175	14	,	,	PUNCT
ejpam-4014	175	15	1044	1044	NUM
ejpam-4014	175	16	-	-	SYM
ejpam-4014	175	17	1056	1056	NUM
ejpam-4014	175	18	1053	1053	NUM
ejpam-4014	175	19			PROPN
ejpam-4014	175	20	c0=	c0=	NOUN
ejpam-4014	175	21	um0	um0	NOUN
ejpam-4014	175	22	c1=	c1=	NOUN
ejpam-4014	175	23	mum−10	mum−10	ADJ
ejpam-4014	175	24	u1	u1	NOUN
ejpam-4014	175	25	c2=	c2=	PROPN
ejpam-4014	175	26	1	1	NUM
ejpam-4014	175	27	2	2	NUM
ejpam-4014	175	28	m[2um−10	m[2um−10	VERB
ejpam-4014	175	29	u2+(m−	u2+(m−	PROPN
ejpam-4014	175	30	1)um−21	1)um−21	NUM
ejpam-4014	175	31	u21	u21	NOUN
ejpam-4014	175	32	...	...	PUNCT
ejpam-4014	175	33	cn=	cn=	PROPN
ejpam-4014	175	34	1	1	NUM
ejpam-4014	175	35	n	n	NOUN
ejpam-4014	175	36	!	!	PUNCT
ejpam-4014	176	1	[	[	PUNCT
ejpam-4014	176	2	∂n(λkuk	∂n(λkuk	NOUN
ejpam-4014	176	3	)	)	PUNCT
ejpam-4014	176	4	m	m	VERB
ejpam-4014	177	1	∂λn	∂λn	NOUN
ejpam-4014	177	2	]	]	X
ejpam-4014	177	3	λ=0	λ=0	X
ejpam-4014	177	4	(	(	PUNCT
ejpam-4014	177	5	25	25	NUM
ejpam-4014	177	6	)	)	PUNCT
ejpam-4014	177	7	by	by	ADP
ejpam-4014	177	8	unfoldind	unfoldind	ADJ
ejpam-4014	177	9	on	on	ADP
ejpam-4014	177	10	n	n	PROPN
ejpam-4014	177	11	,	,	PUNCT
ejpam-4014	177	12	we	we	PRON
ejpam-4014	177	13	get	get	VERB
ejpam-4014	177	14	:	:	PUNCT
ejpam-4014	177	15			NOUN
ejpam-4014	177	16	u0(x)=ex	u0(x)=ex	NOUN
ejpam-4014	177	17	u1(x)=	u1(x)=	NUM
ejpam-4014	177	18	0	0	NUM
ejpam-4014	177	19	u2(x)=0	u2(x)=0	ADJ
ejpam-4014	177	20	...	...	PUNCT
ejpam-4014	177	21	un(x)=0;∀	un(x)=0;∀	X
ejpam-4014	178	1	n	n	PRON
ejpam-4014	178	2	≥	≥	NUM
ejpam-4014	178	3	1	1	NUM
ejpam-4014	178	4			NOUN
ejpam-4014	178	5	v0	v0	NOUN
ejpam-4014	178	6	=	=	SYM
ejpam-4014	178	7	e	e	NOUN
ejpam-4014	178	8	−x	−x	NOUN
ejpam-4014	178	9	v1(x)=	v1(x)=	NOUN
ejpam-4014	178	10	0	0	NUM
ejpam-4014	178	11	v2(x)=	v2(x)=	NOUN
ejpam-4014	178	12	0	0	NUM
ejpam-4014	178	13	...	...	PUNCT
ejpam-4014	178	14	vn(x)=0;∀	vn(x)=0;∀	X
ejpam-4014	178	15	n	n	CCONJ
ejpam-4014	178	16	≥	≥	NUM
ejpam-4014	178	17	1	1	NUM
ejpam-4014	178	18			NOUN
ejpam-4014	178	19	w0	w0	NOUN
ejpam-4014	178	20	=	=	NOUN
ejpam-4014	178	21	e	e	NOUN
ejpam-4014	178	22	2x	2x	NUM
ejpam-4014	178	23	w1(x)=	w1(x)=	PROPN
ejpam-4014	178	24	0	0	NUM
ejpam-4014	178	25	w2(x)=0	w2(x)=0	PROPN
ejpam-4014	178	26	...	...	PUNCT
ejpam-4014	178	27	wn(x)=0;∀	wn(x)=0;∀	NUM
ejpam-4014	178	28	n	n	X
ejpam-4014	178	29	≥	≥	NUM
ejpam-4014	178	30	1	1	NUM
ejpam-4014	178	31	(	(	PUNCT
ejpam-4014	178	32	26	26	NUM
ejpam-4014	178	33	)	)	PUNCT
ejpam-4014	178	34	let	let	VERB
ejpam-4014	178	35	’s	’s	NOUN
ejpam-4014	178	36	put	put	VERB
ejpam-4014	178	37	(	(	PUNCT
ejpam-4014	178	38	u(x	u(x	PROPN
ejpam-4014	178	39	)	)	PUNCT
ejpam-4014	178	40	,	,	PUNCT
ejpam-4014	178	41	v(x	v(x	PROPN
ejpam-4014	178	42	)	)	PUNCT
ejpam-4014	178	43	,	,	PUNCT
ejpam-4014	178	44	w(x	w(x	NOUN
ejpam-4014	178	45	)	)	PUNCT
ejpam-4014	178	46	)	)	PUNCT
ejpam-4014	179	1	=	=	PRON
ejpam-4014	179	2	(	(	PUNCT
ejpam-4014	179	3	∑	∑	ADV
ejpam-4014	179	4	n≥0	n≥0	ADJ
ejpam-4014	179	5	un(x	un(x	NOUN
ejpam-4014	179	6	)	)	PUNCT
ejpam-4014	179	7	,	,	PUNCT
ejpam-4014	179	8	∑	∑	ADV
ejpam-4014	179	9	n≥0	n≥0	ADJ
ejpam-4014	179	10	vn(x	vn(x	NOUN
ejpam-4014	179	11	)	)	PUNCT
ejpam-4014	179	12	,	,	PUNCT
ejpam-4014	179	13	∑	∑	ADV
ejpam-4014	179	14	n≥0	n≥0	ADJ
ejpam-4014	179	15	wn(x	wn(x	NUM
ejpam-4014	179	16	)	)	PUNCT
ejpam-4014	179	17	)	)	PUNCT
ejpam-4014	180	1	=	=	SYM
ejpam-4014	180	2	(	(	PUNCT
ejpam-4014	180	3	u0(x	u0(x	NOUN
ejpam-4014	180	4	)	)	PUNCT
ejpam-4014	180	5	,	,	PUNCT
ejpam-4014	180	6	v0(x	v0(x	PROPN
ejpam-4014	180	7	)	)	PUNCT
ejpam-4014	180	8	,	,	PUNCT
ejpam-4014	180	9	w0(x	w0(x	PROPN
ejpam-4014	180	10	)	)	PUNCT
ejpam-4014	180	11	)	)	PUNCT
ejpam-4014	181	1	then	then	ADV
ejpam-4014	181	2	the	the	DET
ejpam-4014	181	3	exact	exact	ADJ
ejpam-4014	181	4	solution	solution	NOUN
ejpam-4014	181	5	of	of	ADP
ejpam-4014	181	6	the	the	DET
ejpam-4014	181	7	problem	problem	NOUN
ejpam-4014	181	8	(	(	PUNCT
ejpam-4014	181	9	21	21	NUM
ejpam-4014	181	10	)	)	PUNCT
ejpam-4014	181	11	is	be	AUX
ejpam-4014	181	12	:	:	PUNCT
ejpam-4014	181	13	(	(	PUNCT
ejpam-4014	181	14	u(x	u(x	PROPN
ejpam-4014	181	15	)	)	PUNCT
ejpam-4014	181	16	,	,	PUNCT
ejpam-4014	181	17	v(x	v(x	PROPN
ejpam-4014	181	18	)	)	PUNCT
ejpam-4014	181	19	,	,	PUNCT
ejpam-4014	181	20	w(x	w(x	NOUN
ejpam-4014	181	21	)	)	PUNCT
ejpam-4014	181	22	)	)	PUNCT
ejpam-4014	182	1	=	=	PRON
ejpam-4014	182	2	(	(	PUNCT
ejpam-4014	182	3	ex	ex	X
ejpam-4014	182	4	,	,	PUNCT
ejpam-4014	182	5	e−x	e−x	NOUN
ejpam-4014	182	6	,	,	PUNCT
ejpam-4014	182	7	e2x	e2x	X
ejpam-4014	182	8	)	)	PUNCT
ejpam-4014	182	9	(	(	PUNCT
ejpam-4014	182	10	27	27	NUM
ejpam-4014	182	11	)	)	PUNCT
ejpam-4014	182	12	•	•	NOUN
ejpam-4014	182	13	solving	solving	NOUN
ejpam-4014	182	14	by	by	ADP
ejpam-4014	182	15	the	the	DET
ejpam-4014	182	16	regular	regular	ADJ
ejpam-4014	182	17	perturbation	perturbation	NOUN
ejpam-4014	182	18	method	method	NOUN
ejpam-4014	182	19	let	let	VERB
ejpam-4014	182	20	us	we	PRON
ejpam-4014	182	21	search	search	VERB
ejpam-4014	182	22	the	the	DET
ejpam-4014	182	23	solution	solution	NOUN
ejpam-4014	182	24	of	of	ADP
ejpam-4014	182	25	(	(	PUNCT
ejpam-4014	182	26	13	13	NUM
ejpam-4014	182	27	)	)	PUNCT
ejpam-4014	182	28	by	by	ADP
ejpam-4014	182	29	an	an	DET
ejpam-4014	182	30	asymptotic	asymptotic	ADJ
ejpam-4014	182	31	expression	expression	NOUN
ejpam-4014	182	32	:	:	PUNCT
ejpam-4014	182	33	(	(	PUNCT
ejpam-4014	182	34	u(x	u(x	PROPN
ejpam-4014	182	35	)	)	PUNCT
ejpam-4014	182	36	,	,	PUNCT
ejpam-4014	182	37	v(x	v(x	PROPN
ejpam-4014	182	38	)	)	PUNCT
ejpam-4014	182	39	,	,	PUNCT
ejpam-4014	182	40	w(x	w(x	NOUN
ejpam-4014	182	41	)	)	PUNCT
ejpam-4014	182	42	)	)	PUNCT
ejpam-4014	183	1	=	=	PRON
ejpam-4014	183	2	(	(	PUNCT
ejpam-4014	183	3	∑	∑	INTJ
ejpam-4014	183	4	n≥0	n≥0	ADJ
ejpam-4014	183	5	εnun(x	εnun(x	PROPN
ejpam-4014	183	6	)	)	PUNCT
ejpam-4014	183	7	,	,	PUNCT
ejpam-4014	183	8	∑	∑	PROPN
ejpam-4014	183	9	n≥0	n≥0	ADJ
ejpam-4014	183	10	εnvn(x	εnvn(x	PROPN
ejpam-4014	183	11	)	)	PUNCT
ejpam-4014	183	12	,	,	PUNCT
ejpam-4014	183	13	∑	∑	PROPN
ejpam-4014	183	14	n≥0	n≥0	ADJ
ejpam-4014	183	15	εnwn(x	εnwn(x	PROPN
ejpam-4014	183	16	)	)	PUNCT
ejpam-4014	183	17	)	)	PUNCT
ejpam-4014	183	18	(	(	PUNCT
ejpam-4014	183	19	28	28	NUM
ejpam-4014	183	20	)	)	PUNCT
ejpam-4014	183	21	where	where	SCONJ
ejpam-4014	183	22	ε	ε	PROPN
ejpam-4014	183	23	is	be	AUX
ejpam-4014	183	24	a	a	DET
ejpam-4014	183	25	small	small	ADJ
ejpam-4014	183	26	parameter	parameter	NOUN
ejpam-4014	183	27	of	of	ADP
ejpam-4014	183	28	the	the	DET
ejpam-4014	183	29	problem	problem	NOUN
ejpam-4014	183	30	.	.	PUNCT
ejpam-4014	184	1	let	let	VERB
ejpam-4014	184	2	’s	’s	PRON
ejpam-4014	184	3	introduce	introduce	VERB
ejpam-4014	184	4	(	(	PUNCT
ejpam-4014	184	5	18	18	NUM
ejpam-4014	184	6	)	)	PUNCT
ejpam-4014	184	7	to	to	ADP
ejpam-4014	184	8	(	(	PUNCT
ejpam-4014	184	9	13	13	NUM
ejpam-4014	184	10	)	)	PUNCT
ejpam-4014	184	11	,	,	PUNCT
ejpam-4014	184	12	we	we	PRON
ejpam-4014	184	13	get:	get:	VERB
ejpam-4014	184	14	∑	∑	PROPN
ejpam-4014	184	15	n≥0	n≥0	PROPN
ejpam-4014	184	16	ε	ε	PROPN
ejpam-4014	184	17	nun(x)=ex	nun(x)=ex	PROPN
ejpam-4014	184	18	+	+	CCONJ
ejpam-4014	184	19	ε(e−mx	ε(e−mx	NOUN
ejpam-4014	184	20	−	−	PROPN
ejpam-4014	184	21	ex	ex	NOUN
ejpam-4014	184	22	)	)	PUNCT
ejpam-4014	184	23	m+	m+	NUM
ejpam-4014	184	24	1	1	NUM
ejpam-4014	185	1	+	+	CCONJ
ejpam-4014	185	2	ε	ε	PROPN
ejpam-4014	185	3	∫	∫	PROPN
ejpam-4014	185	4	x	x	SYM
ejpam-4014	185	5	0	0	NUM
ejpam-4014	185	6	e	e	X
ejpam-4014	185	7	x−t	x−t	PROPN
ejpam-4014	185	8	(	(	PUNCT
ejpam-4014	185	9	∑	∑	ADV
ejpam-4014	185	10	n≥0	n≥0	PROPN
ejpam-4014	185	11	ε	ε	PROPN
ejpam-4014	185	12	nvn(t))mdt∑	nvn(t))mdt∑	PROPN
ejpam-4014	185	13	n≥0	n≥0	PROPN
ejpam-4014	185	14	ε	ε	PROPN
ejpam-4014	185	15	nvn(x)=e−x	nvn(x)=e−x	PROPN
ejpam-4014	185	16	−	−	PROPN
ejpam-4014	185	17	ε(emx	ε(emx	PROPN
ejpam-4014	185	18	−	−	PROPN
ejpam-4014	185	19	ex	ex	NOUN
ejpam-4014	185	20	)	)	PUNCT
ejpam-4014	185	21	2m−	2m−	NOUN
ejpam-4014	185	22	1	1	NUM
ejpam-4014	186	1	+	+	NUM
ejpam-4014	186	2	ε	ε	PROPN
ejpam-4014	186	3	∫	∫	PROPN
ejpam-4014	186	4	x	x	SYM
ejpam-4014	186	5	0	0	NUM
ejpam-4014	186	6	e	e	X
ejpam-4014	186	7	x−t	x−t	PROPN
ejpam-4014	186	8	(	(	PUNCT
ejpam-4014	186	9	∑	∑	ADV
ejpam-4014	186	10	n≥0	n≥0	PROPN
ejpam-4014	186	11	ε	ε	PROPN
ejpam-4014	186	12	nwn(t))mdt∑	nwn(t))mdt∑	PROPN
ejpam-4014	186	13	n≥0	n≥0	PROPN
ejpam-4014	186	14	ε	ε	PROPN
ejpam-4014	186	15	nwn(x)=e2x	nwn(x)=e2x	NOUN
ejpam-4014	186	16	−	−	PROPN
ejpam-4014	186	17	ε(e−mx	ε(e−mx	PROPN
ejpam-4014	186	18	−	−	PROPN
ejpam-4014	186	19	ex	ex	NOUN
ejpam-4014	186	20	)	)	PUNCT
ejpam-4014	186	21	m−	m−	PROPN
ejpam-4014	186	22	1	1	NUM
ejpam-4014	187	1	+	+	CCONJ
ejpam-4014	187	2	ε	ε	PROPN
ejpam-4014	187	3	∫	∫	PROPN
ejpam-4014	187	4	x	x	SYM
ejpam-4014	187	5	0	0	NUM
ejpam-4014	187	6	e	e	X
ejpam-4014	187	7	x−t	x−t	PROPN
ejpam-4014	187	8	(	(	PUNCT
ejpam-4014	187	9	∑	∑	ADV
ejpam-4014	187	10	n≥0	n≥0	PROPN
ejpam-4014	187	11	ε	ε	PROPN
ejpam-4014	187	12	nun(t))mdt	nun(t))mdt	ADJ
ejpam-4014	187	13	(	(	PUNCT
ejpam-4014	187	14	29	29	NUM
ejpam-4014	187	15	)	)	PUNCT
ejpam-4014	187	16	using	use	VERB
ejpam-4014	187	17	binomial	binomial	ADJ
ejpam-4014	187	18	newton	newton	PROPN
ejpam-4014	187	19	formula	formula	NOUN
ejpam-4014	187	20	,	,	PUNCT
ejpam-4014	187	21	we	we	PRON
ejpam-4014	187	22	get	get	VERB
ejpam-4014	187	23	y.	y.	NOUN
ejpam-4014	187	24	paré	paré	NOUN
ejpam-4014	188	1	et	et	PROPN
ejpam-4014	188	2	al	al	PROPN
ejpam-4014	188	3	.	.	PUNCT
ejpam-4014	188	4	/	/	SYM
ejpam-4014	188	5	eur	eur	PROPN
ejpam-4014	188	6	.	.	PUNCT
ejpam-4014	189	1	j.	j.	PROPN
ejpam-4014	189	2	pure	pure	PROPN
ejpam-4014	189	3	appl	appl	PROPN
ejpam-4014	189	4	.	.	PROPN
ejpam-4014	189	5	math	math	PROPN
ejpam-4014	189	6	,	,	PUNCT
ejpam-4014	189	7	14	14	NUM
ejpam-4014	189	8	(	(	PUNCT
ejpam-4014	189	9	3	3	NUM
ejpam-4014	189	10	)	)	PUNCT
ejpam-4014	189	11	(	(	PUNCT
ejpam-4014	189	12	2021	2021	NUM
ejpam-4014	189	13	)	)	PUNCT
ejpam-4014	189	14	,	,	PUNCT
ejpam-4014	189	15	1044	1044	NUM
ejpam-4014	189	16	-	-	SYM
ejpam-4014	189	17	1056	1056	NUM
ejpam-4014	189	18	1054	1054	NUM
ejpam-4014	190	1	[	[	X
ejpam-4014	190	2	u0	u0	X
ejpam-4014	190	3	+	+	X
ejpam-4014	190	4	(	(	PUNCT
ejpam-4014	190	5	εu1	εu1	X
ejpam-4014	190	6	+	+	PUNCT
ejpam-4014	190	7	ε2u2	ε2u2	NOUN
ejpam-4014	190	8	)	)	PUNCT
ejpam-4014	190	9	]	]	PUNCT
ejpam-4014	191	1	m	m	VERB
ejpam-4014	191	2	=	=	SYM
ejpam-4014	191	3	um0	um0	PROPN
ejpam-4014	191	4	+	+	X
ejpam-4014	191	5	pum−10	pum−10	X
ejpam-4014	191	6	(	(	PUNCT
ejpam-4014	191	7	εu1	εu1	X
ejpam-4014	191	8	+	+	PUNCT
ejpam-4014	191	9	ε2u2	ε2u2	X
ejpam-4014	191	10	)	)	PUNCT
ejpam-4014	191	11	+	+	CCONJ
ejpam-4014	191	12	m(m−	m(m−	PROPN
ejpam-4014	191	13	1	1	NUM
ejpam-4014	191	14	)	)	PUNCT
ejpam-4014	191	15	2	2	NUM
ejpam-4014	191	16	um−20	um−20	PROPN
ejpam-4014	191	17	(	(	PUNCT
ejpam-4014	191	18	ε2u21	ε2u21	X
ejpam-4014	191	19	+	+	X
ejpam-4014	191	20	2ε3u1u2	2ε3u1u2	NUM
ejpam-4014	191	21	+	+	CCONJ
ejpam-4014	191	22	ε4u22	ε4u22	NOUN
ejpam-4014	191	23	)	)	PUNCT
ejpam-4014	191	24	+	+	CCONJ
ejpam-4014	191	25	...	...	PUNCT
ejpam-4014	192	1	[	[	X
ejpam-4014	192	2	v0	v0	NOUN
ejpam-4014	192	3	+	+	CCONJ
ejpam-4014	192	4	(	(	PUNCT
ejpam-4014	192	5	εu1	εu1	X
ejpam-4014	192	6	+	+	PUNCT
ejpam-4014	192	7	ε2v2	ε2v2	X
ejpam-4014	192	8	)	)	PUNCT
ejpam-4014	192	9	]	]	PUNCT
ejpam-4014	193	1	m	m	PUNCT
ejpam-4014	193	2	=	=	SYM
ejpam-4014	193	3	vm0	vm0	X
ejpam-4014	194	1	+	+	X
ejpam-4014	194	2	pvm−10	pvm−10	ADJ
ejpam-4014	194	3	(	(	PUNCT
ejpam-4014	194	4	εv1	εv1	NOUN
ejpam-4014	194	5	+	+	CCONJ
ejpam-4014	194	6	ε2v2	ε2v2	X
ejpam-4014	194	7	)	)	PUNCT
ejpam-4014	195	1	+	+	CCONJ
ejpam-4014	195	2	m(m−	m(m−	PROPN
ejpam-4014	195	3	1	1	NUM
ejpam-4014	195	4	)	)	PUNCT
ejpam-4014	195	5	2	2	NUM
ejpam-4014	195	6	vm−20	vm−20	NOUN
ejpam-4014	195	7	(	(	PUNCT
ejpam-4014	195	8	ε2v21	ε2v21	X
ejpam-4014	195	9	+	+	X
ejpam-4014	195	10	2ε3v1v2	2ε3v1v2	NUM
ejpam-4014	195	11	+	+	CCONJ
ejpam-4014	195	12	ε4v22	ε4v22	NOUN
ejpam-4014	195	13	)	)	PUNCT
ejpam-4014	195	14	+	+	CCONJ
ejpam-4014	195	15	...	...	PUNCT
ejpam-4014	196	1	[	[	X
ejpam-4014	196	2	w0	w0	PROPN
ejpam-4014	196	3	+	+	CCONJ
ejpam-4014	196	4	(	(	PUNCT
ejpam-4014	196	5	εw1	εw1	NOUN
ejpam-4014	196	6	+	+	CCONJ
ejpam-4014	196	7	ε2w2	ε2w2	NOUN
ejpam-4014	196	8	)	)	PUNCT
ejpam-4014	196	9	]	]	PUNCT
ejpam-4014	196	10	m	m	VERB
ejpam-4014	196	11	=	=	VERB
ejpam-4014	196	12	wm0	wm0	ADJ
ejpam-4014	196	13	+	+	CCONJ
ejpam-4014	196	14	pwm−10	pwm−10	ADJ
ejpam-4014	196	15	(	(	PUNCT
ejpam-4014	196	16	εw1	εw1	ADV
ejpam-4014	196	17	+	+	CCONJ
ejpam-4014	196	18	ε2w2	ε2w2	X
ejpam-4014	196	19	)	)	PUNCT
ejpam-4014	196	20	+	+	CCONJ
ejpam-4014	196	21	m(m−	m(m−	PROPN
ejpam-4014	196	22	1	1	NUM
ejpam-4014	196	23	)	)	PUNCT
ejpam-4014	196	24	2	2	NUM
ejpam-4014	196	25	wm−20	wm−20	NOUN
ejpam-4014	196	26	(	(	PUNCT
ejpam-4014	196	27	ε2w2	ε2w2	NOUN
ejpam-4014	196	28	1	1	NUM
ejpam-4014	196	29	+	+	NUM
ejpam-4014	196	30	2ε3w1w2	2ε3w1w2	NUM
ejpam-4014	197	1	+	+	CCONJ
ejpam-4014	197	2	ε4w2	ε4w2	NOUN
ejpam-4014	197	3	2	2	NUM
ejpam-4014	197	4	)	)	PUNCT
ejpam-4014	197	5	+	+	CCONJ
ejpam-4014	197	6	...	...	PUNCT
ejpam-4014	197	7	by	by	ADP
ejpam-4014	197	8	identification	identification	NOUN
ejpam-4014	197	9	according	accord	VERB
ejpam-4014	197	10	to	to	ADP
ejpam-4014	197	11	the	the	DET
ejpam-4014	197	12	growth	growth	NOUN
ejpam-4014	197	13	power	power	NOUN
ejpam-4014	197	14	of	of	ADP
ejpam-4014	197	15	ε	ε	PROPN
ejpam-4014	197	16	,	,	PUNCT
ejpam-4014	197	17	we	we	PRON
ejpam-4014	197	18	get	get	VERB
ejpam-4014	197	19	:	:	PUNCT
ejpam-4014	197	20			NUM
ejpam-4014	197	21			NUM
ejpam-4014	197	22	ε0	ε0	NOUN
ejpam-4014	197	23	:	:	PUNCT
ejpam-4014	197	24	u0(x	u0(x	NUM
ejpam-4014	197	25	)	)	PUNCT
ejpam-4014	197	26	=	=	PUNCT
ejpam-4014	198	1	ex	ex	PRON
ejpam-4014	198	2	ε1	ε1	VERB
ejpam-4014	198	3	:	:	PUNCT
ejpam-4014	198	4	u1(x	u1(x	ADJ
ejpam-4014	198	5	)	)	PUNCT
ejpam-4014	198	6	=	=	SYM
ejpam-4014	198	7	(	(	PUNCT
ejpam-4014	198	8	e−mx	e−mx	NOUN
ejpam-4014	198	9	−	−	PROPN
ejpam-4014	198	10	ex	ex	NOUN
ejpam-4014	198	11	)	)	PUNCT
ejpam-4014	198	12	m+	m+	NUM
ejpam-4014	198	13	1	1	NUM
ejpam-4014	198	14	+	+	CCONJ
ejpam-4014	198	15	∫	∫	PROPN
ejpam-4014	198	16	x	x	SYM
ejpam-4014	198	17	0	0	NUM
ejpam-4014	198	18	e	e	X
ejpam-4014	198	19	x−tvm0	x−tvm0	X
ejpam-4014	199	1	(	(	PUNCT
ejpam-4014	199	2	t)dt	t)dt	PROPN
ejpam-4014	199	3	ε2	ε2	NOUN
ejpam-4014	199	4	:	:	PUNCT
ejpam-4014	199	5	u2(x	u2(x	X
ejpam-4014	199	6	)	)	PUNCT
ejpam-4014	199	7	=	=	SYM
ejpam-4014	200	1	∫	∫	PUNCT
ejpam-4014	200	2	x	x	SYM
ejpam-4014	200	3	0	0	NUM
ejpam-4014	200	4	e	e	X
ejpam-4014	200	5	x−tmvm−10	x−tmvm−10	PROPN
ejpam-4014	200	6	(	(	PUNCT
ejpam-4014	200	7	t)v1(t)dt	t)v1(t)dt	NOUN
ejpam-4014	200	8	ε2	ε2	ADV
ejpam-4014	200	9	:	:	PUNCT
ejpam-4014	200	10	u3(x	u3(x	X
ejpam-4014	200	11	)	)	PUNCT
ejpam-4014	200	12	=	=	SYM
ejpam-4014	201	1	∫	∫	PROPN
ejpam-4014	201	2	x	x	SYM
ejpam-4014	201	3	0	0	NUM
ejpam-4014	201	4	e	e	X
ejpam-4014	201	5	x−t	x−t	PROPN
ejpam-4014	201	6	1	1	NUM
ejpam-4014	201	7	2	2	NUM
ejpam-4014	201	8	m[2vm−10	m[2vm−10	NOUN
ejpam-4014	201	9	(	(	PUNCT
ejpam-4014	201	10	t)v2(t)+(m−	t)v2(t)+(m−	PROPN
ejpam-4014	201	11	1)vm−21	1)vm−21	NUM
ejpam-4014	201	12	(	(	PUNCT
ejpam-4014	201	13	t)v21(t)]dt	t)v21(t)]dt	PROPN
ejpam-4014	201	14	...	...	PUNCT
ejpam-4014	201	15	εn:2un(x	εn:2un(x	X
ejpam-4014	201	16	)	)	PUNCT
ejpam-4014	201	17	=	=	SYM
ejpam-4014	201	18	...	...	PUNCT
ejpam-4014	201	19			PROPN
ejpam-4014	201	20	ε0	ε0	NOUN
ejpam-4014	201	21	:	:	PUNCT
ejpam-4014	201	22	v0(x	v0(x	X
ejpam-4014	201	23	)	)	PUNCT
ejpam-4014	201	24	=	=	SYM
ejpam-4014	202	1	e−x	e−x	PROPN
ejpam-4014	202	2	ε1	ε1	VERB
ejpam-4014	202	3	:	:	PUNCT
ejpam-4014	202	4	v1(x	v1(x	NUM
ejpam-4014	202	5	)	)	PUNCT
ejpam-4014	202	6	=	=	NOUN
ejpam-4014	203	1	−(emx	−(emx	NOUN
ejpam-4014	203	2	−	−	PROPN
ejpam-4014	203	3	ex	ex	NOUN
ejpam-4014	203	4	)	)	PUNCT
ejpam-4014	203	5	2m−	2m−	NOUN
ejpam-4014	203	6	1	1	NUM
ejpam-4014	204	1	+	+	NUM
ejpam-4014	204	2	∫	∫	PROPN
ejpam-4014	204	3	x	x	SYM
ejpam-4014	204	4	0	0	NUM
ejpam-4014	204	5	e	e	X
ejpam-4014	204	6	x−twm0	x−twm0	X
ejpam-4014	205	1	(	(	PUNCT
ejpam-4014	205	2	t)dt	t)dt	PROPN
ejpam-4014	205	3	ε2	ε2	ADV
ejpam-4014	205	4	:	:	PUNCT
ejpam-4014	205	5	v2(x	v2(x	X
ejpam-4014	205	6	)	)	PUNCT
ejpam-4014	205	7	=	=	SYM
ejpam-4014	206	1	∫	∫	PUNCT
ejpam-4014	206	2	x	x	SYM
ejpam-4014	206	3	0	0	NUM
ejpam-4014	206	4	e	e	X
ejpam-4014	206	5	x−tmwm−10	x−tmwm−10	PROPN
ejpam-4014	206	6	(	(	PUNCT
ejpam-4014	206	7	t)w1(t)dt	t)w1(t)dt	NOUN
ejpam-4014	206	8	ε2	ε2	ADV
ejpam-4014	206	9	:	:	PUNCT
ejpam-4014	206	10	v3(x	v3(x	NOUN
ejpam-4014	206	11	)	)	PUNCT
ejpam-4014	206	12	=	=	SYM
ejpam-4014	207	1	∫	∫	PROPN
ejpam-4014	207	2	x	x	SYM
ejpam-4014	207	3	0	0	NUM
ejpam-4014	207	4	e	e	X
ejpam-4014	207	5	x−t	x−t	PROPN
ejpam-4014	207	6	1	1	NUM
ejpam-4014	207	7	2	2	NUM
ejpam-4014	207	8	m[2wm−10	m[2wm−10	PROPN
ejpam-4014	207	9	(	(	PUNCT
ejpam-4014	207	10	t)w2(t)+(m−	t)w2(t)+(m−	PROPN
ejpam-4014	207	11	1)wm−21	1)wm−21	PROPN
ejpam-4014	207	12	(	(	PUNCT
ejpam-4014	207	13	t)w2	t)w2	PROPN
ejpam-4014	207	14	1(t)]dt	1(t)]dt	PROPN
ejpam-4014	207	15	...	...	PUNCT
ejpam-4014	208	1	εn:2vn(x	εn:2vn(x	X
ejpam-4014	208	2	)	)	PUNCT
ejpam-4014	208	3	=	=	SYM
ejpam-4014	208	4	...	...	PUNCT
ejpam-4014	208	5			PROPN
ejpam-4014	208	6	ε0	ε0	NOUN
ejpam-4014	208	7	:	:	PUNCT
ejpam-4014	208	8	w0(x	w0(x	X
ejpam-4014	208	9	)	)	PUNCT
ejpam-4014	208	10	=	=	PUNCT
ejpam-4014	209	1	e2x	e2x	X
ejpam-4014	209	2	ε1	ε1	VERB
ejpam-4014	209	3	:	:	PUNCT
ejpam-4014	209	4	w1(x	w1(x	NUM
ejpam-4014	209	5	)	)	PUNCT
ejpam-4014	209	6	=	=	SYM
ejpam-4014	209	7	(	(	PUNCT
ejpam-4014	209	8	e−mx−ex	e−mx−ex	X
ejpam-4014	209	9	)	)	PUNCT
ejpam-4014	209	10	m+1	m+1	PROPN
ejpam-4014	210	1	+	+	NUM
ejpam-4014	210	2	∫	∫	PROPN
ejpam-4014	210	3	x	x	SYM
ejpam-4014	210	4	0	0	NUM
ejpam-4014	210	5	e	e	X
ejpam-4014	210	6	x−tum0	x−tum0	X
ejpam-4014	211	1	(	(	PUNCT
ejpam-4014	211	2	t)dt	t)dt	PROPN
ejpam-4014	211	3	ε2	ε2	NOUN
ejpam-4014	211	4	:	:	PUNCT
ejpam-4014	211	5	w2(x	w2(x	X
ejpam-4014	211	6	)	)	PUNCT
ejpam-4014	211	7	=	=	SYM
ejpam-4014	212	1	∫	∫	PUNCT
ejpam-4014	212	2	x	x	SYM
ejpam-4014	212	3	0	0	NUM
ejpam-4014	212	4	e	e	X
ejpam-4014	212	5	x−tmum−10	x−tmum−10	X
ejpam-4014	212	6	(	(	PUNCT
ejpam-4014	212	7	t)u1(t)dt	t)u1(t)dt	NOUN
ejpam-4014	212	8	ε2	ε2	ADV
ejpam-4014	212	9	:	:	PUNCT
ejpam-4014	212	10	w3(x	w3(x	X
ejpam-4014	212	11	)	)	PUNCT
ejpam-4014	212	12	=	=	SYM
ejpam-4014	213	1	∫	∫	PROPN
ejpam-4014	213	2	x	x	SYM
ejpam-4014	213	3	0	0	NUM
ejpam-4014	213	4	e	e	X
ejpam-4014	213	5	x−t	x−t	PROPN
ejpam-4014	213	6	1	1	NUM
ejpam-4014	213	7	2m[2um−10	2m[2um−10	NUM
ejpam-4014	213	8	(	(	PUNCT
ejpam-4014	213	9	t)u2(t)+(m−	t)u2(t)+(m−	PROPN
ejpam-4014	213	10	1)um−21	1)um−21	NUM
ejpam-4014	213	11	(	(	PUNCT
ejpam-4014	213	12	t)u21(t)]dt	t)u21(t)]dt	NOUN
ejpam-4014	213	13	...	...	PUNCT
ejpam-4014	213	14	εn:2wn(x	εn:2wn(x	X
ejpam-4014	213	15	)	)	PUNCT
ejpam-4014	213	16	=	=	SYM
ejpam-4014	213	17	...	...	PUNCT
ejpam-4014	213	18	(	(	PUNCT
ejpam-4014	213	19	30	30	NUM
ejpam-4014	213	20	)	)	PUNCT
ejpam-4014	213	21	by	by	ADP
ejpam-4014	213	22	unfoldind	unfoldind	ADJ
ejpam-4014	213	23	on	on	ADP
ejpam-4014	213	24	n	n	PROPN
ejpam-4014	213	25	,	,	PUNCT
ejpam-4014	213	26	we	we	PRON
ejpam-4014	213	27	get	get	VERB
ejpam-4014	213	28	:	:	PUNCT
ejpam-4014	213	29			VERB
ejpam-4014	213	30	u0(x)=ex	u0(x)=ex	NOUN
ejpam-4014	214	1	u1(x)=	u1(x)=	NUM
ejpam-4014	214	2	0	0	NUM
ejpam-4014	214	3	u2(x)=0	u2(x)=0	ADJ
ejpam-4014	214	4	...	...	PUNCT
ejpam-4014	214	5	un(x)=0;∀	un(x)=0;∀	X
ejpam-4014	215	1	n	n	PRON
ejpam-4014	215	2	≥	≥	NUM
ejpam-4014	215	3	1	1	NUM
ejpam-4014	215	4			NOUN
ejpam-4014	215	5	v0	v0	NOUN
ejpam-4014	215	6	=	=	SYM
ejpam-4014	215	7	e	e	NOUN
ejpam-4014	215	8	−x	−x	NOUN
ejpam-4014	215	9	v1(x)=	v1(x)=	NOUN
ejpam-4014	215	10	0	0	NUM
ejpam-4014	215	11	v2(x)=	v2(x)=	NOUN
ejpam-4014	215	12	0	0	NUM
ejpam-4014	215	13	...	...	PUNCT
ejpam-4014	215	14	vn(x)=0;∀	vn(x)=0;∀	X
ejpam-4014	215	15	n	n	CCONJ
ejpam-4014	215	16	≥	≥	NUM
ejpam-4014	215	17	1	1	NUM
ejpam-4014	215	18			NOUN
ejpam-4014	215	19	w0	w0	NOUN
ejpam-4014	215	20	=	=	NOUN
ejpam-4014	215	21	e	e	NOUN
ejpam-4014	215	22	2x	2x	NUM
ejpam-4014	215	23	w1(x)=	w1(x)=	PROPN
ejpam-4014	215	24	0	0	NUM
ejpam-4014	215	25	w2(x)=0	w2(x)=0	PROPN
ejpam-4014	215	26	...	...	PUNCT
ejpam-4014	215	27	wn(x)=0;∀	wn(x)=0;∀	NUM
ejpam-4014	215	28	n	n	X
ejpam-4014	215	29	≥	≥	NUM
ejpam-4014	215	30	1	1	NUM
ejpam-4014	215	31	(	(	PUNCT
ejpam-4014	215	32	31	31	NUM
ejpam-4014	215	33	)	)	PUNCT
ejpam-4014	215	34	let	let	VERB
ejpam-4014	215	35	’s	’s	NOUN
ejpam-4014	215	36	put	put	VERB
ejpam-4014	215	37	references	reference	NOUN
ejpam-4014	215	38	1055	1055	NUM
ejpam-4014	215	39	(	(	PUNCT
ejpam-4014	215	40	u(x	u(x	NOUN
ejpam-4014	215	41	)	)	PUNCT
ejpam-4014	215	42	,	,	PUNCT
ejpam-4014	215	43	v(x	v(x	PROPN
ejpam-4014	215	44	)	)	PUNCT
ejpam-4014	215	45	,	,	PUNCT
ejpam-4014	215	46	w(x	w(x	NOUN
ejpam-4014	215	47	)	)	PUNCT
ejpam-4014	215	48	)	)	PUNCT
ejpam-4014	216	1	=	=	PRON
ejpam-4014	216	2	(	(	PUNCT
ejpam-4014	216	3	∑	∑	INTJ
ejpam-4014	216	4	n≥0	n≥0	ADJ
ejpam-4014	216	5	εnun(x	εnun(x	PROPN
ejpam-4014	216	6	)	)	PUNCT
ejpam-4014	216	7	,	,	PUNCT
ejpam-4014	216	8	∑	∑	PROPN
ejpam-4014	216	9	n≥0	n≥0	ADJ
ejpam-4014	216	10	εnvn(x	εnvn(x	PROPN
ejpam-4014	216	11	)	)	PUNCT
ejpam-4014	216	12	,	,	PUNCT
ejpam-4014	216	13	∑	∑	PROPN
ejpam-4014	216	14	n≥0	n≥0	ADJ
ejpam-4014	216	15	εnwn(x	εnwn(x	PROPN
ejpam-4014	216	16	)	)	PUNCT
ejpam-4014	216	17	)	)	PUNCT
ejpam-4014	217	1	=	=	PRON
ejpam-4014	217	2	(	(	PUNCT
ejpam-4014	217	3	u0(x	u0(x	NOUN
ejpam-4014	217	4	)	)	PUNCT
ejpam-4014	217	5	,	,	PUNCT
ejpam-4014	217	6	v0(x	v0(x	PROPN
ejpam-4014	217	7	)	)	PUNCT
ejpam-4014	217	8	,	,	PUNCT
ejpam-4014	217	9	w0(x	w0(x	PROPN
ejpam-4014	217	10	)	)	PUNCT
ejpam-4014	217	11	)	)	PUNCT
ejpam-4014	218	1	then	then	ADV
ejpam-4014	218	2	the	the	DET
ejpam-4014	218	3	exact	exact	ADJ
ejpam-4014	218	4	solution	solution	NOUN
ejpam-4014	218	5	of	of	ADP
ejpam-4014	218	6	the	the	DET
ejpam-4014	218	7	problem	problem	NOUN
ejpam-4014	218	8	(	(	PUNCT
ejpam-4014	218	9	21	21	NUM
ejpam-4014	218	10	)	)	PUNCT
ejpam-4014	218	11	is	be	AUX
ejpam-4014	218	12	:	:	PUNCT
ejpam-4014	218	13	(	(	PUNCT
ejpam-4014	218	14	u(x	u(x	PROPN
ejpam-4014	218	15	)	)	PUNCT
ejpam-4014	218	16	,	,	PUNCT
ejpam-4014	218	17	v(x	v(x	PROPN
ejpam-4014	218	18	)	)	PUNCT
ejpam-4014	218	19	,	,	PUNCT
ejpam-4014	218	20	w(x	w(x	NOUN
ejpam-4014	218	21	)	)	PUNCT
ejpam-4014	218	22	)	)	PUNCT
ejpam-4014	219	1	=	=	PRON
ejpam-4014	219	2	(	(	PUNCT
ejpam-4014	219	3	ex	ex	X
ejpam-4014	219	4	,	,	PUNCT
ejpam-4014	219	5	e−x	e−x	NOUN
ejpam-4014	219	6	,	,	PUNCT
ejpam-4014	219	7	e2x	e2x	X
ejpam-4014	219	8	)	)	PUNCT
ejpam-4014	219	9	(	(	PUNCT
ejpam-4014	219	10	32	32	NUM
ejpam-4014	219	11	)	)	PUNCT
ejpam-4014	219	12	4	4	NUM
ejpam-4014	219	13	.	.	PUNCT
ejpam-4014	219	14	conclusion	conclusion	NOUN
ejpam-4014	219	15	in	in	ADP
ejpam-4014	219	16	this	this	DET
ejpam-4014	219	17	paper	paper	NOUN
ejpam-4014	219	18	,	,	PUNCT
ejpam-4014	219	19	we	we	PRON
ejpam-4014	219	20	first	first	ADV
ejpam-4014	219	21	showed	show	VERB
ejpam-4014	219	22	that	that	SCONJ
ejpam-4014	219	23	the	the	DET
ejpam-4014	219	24	adomian	adomian	NOUN
ejpam-4014	219	25	decomposition	decomposition	NOUN
ejpam-4014	219	26	method	method	NOUN
ejpam-4014	219	27	converges	converge	NOUN
ejpam-4014	219	28	when	when	SCONJ
ejpam-4014	219	29	applied	apply	VERB
ejpam-4014	219	30	to	to	ADP
ejpam-4014	219	31	volterra	volterra	PROPN
ejpam-4014	219	32	general	general	ADJ
ejpam-4014	219	33	integral	integral	ADJ
ejpam-4014	219	34	equations	equation	NOUN
ejpam-4014	219	35	of	of	ADP
ejpam-4014	219	36	second	second	ADJ
ejpam-4014	219	37	kind	kind	NOUN
ejpam-4014	219	38	.	.	PUNCT
ejpam-4014	220	1	then	then	ADV
ejpam-4014	220	2	we	we	PRON
ejpam-4014	220	3	showed	show	VERB
ejpam-4014	220	4	that	that	SCONJ
ejpam-4014	220	5	the	the	DET
ejpam-4014	220	6	adomian	adomian	NOUN
ejpam-4014	220	7	decomposition	decomposition	NOUN
ejpam-4014	220	8	method	method	NOUN
ejpam-4014	220	9	and	and	CCONJ
ejpam-4014	220	10	regular	regular	ADJ
ejpam-4014	220	11	perturbation	perturbation	NOUN
ejpam-4014	220	12	method	method	NOUN
ejpam-4014	220	13	converges	converge	VERB
ejpam-4014	220	14	to	to	ADP
ejpam-4014	220	15	the	the	DET
ejpam-4014	220	16	same	same	ADJ
ejpam-4014	220	17	solution	solution	NOUN
ejpam-4014	220	18	when	when	SCONJ
ejpam-4014	220	19	applied	apply	VERB
ejpam-4014	220	20	to	to	ADP
ejpam-4014	220	21	volterra	volterra	PROPN
ejpam-4014	220	22	general	general	ADJ
ejpam-4014	220	23	integral	integral	ADJ
ejpam-4014	220	24	equations	equation	NOUN
ejpam-4014	220	25	of	of	ADP
ejpam-4014	220	26	second	second	ADJ
ejpam-4014	220	27	kind	kind	NOUN
ejpam-4014	220	28	.	.	PUNCT
ejpam-4014	221	1	lastly	lastly	ADV
ejpam-4014	221	2	,	,	PUNCT
ejpam-4014	221	3	we	we	PRON
ejpam-4014	221	4	used	use	VERB
ejpam-4014	221	5	these	these	DET
ejpam-4014	221	6	both	both	DET
ejpam-4014	221	7	method	method	NOUN
ejpam-4014	221	8	to	to	PART
ejpam-4014	221	9	solve	solve	VERB
ejpam-4014	221	10	a	a	DET
ejpam-4014	221	11	non	non	ADJ
ejpam-4014	221	12	linear	linear	ADJ
ejpam-4014	221	13	integral	integral	ADJ
ejpam-4014	221	14	equation	equation	NOUN
ejpam-4014	221	15	of	of	ADP
ejpam-4014	221	16	second	second	ADJ
ejpam-4014	221	17	kind	kind	NOUN
ejpam-4014	221	18	and	and	CCONJ
ejpam-4014	221	19	a	a	DET
ejpam-4014	221	20	system	system	NOUN
ejpam-4014	221	21	of	of	ADP
ejpam-4014	221	22	non	non	ADJ
ejpam-4014	221	23	linear	linear	ADJ
ejpam-4014	221	24	integral	integral	ADJ
ejpam-4014	221	25	equations	equation	NOUN
ejpam-4014	221	26	of	of	ADP
ejpam-4014	221	27	second	second	ADJ
ejpam-4014	221	28	kind	kind	NOUN
ejpam-4014	221	29	of	of	ADP
ejpam-4014	221	30	volterra	volterra	NOUN
ejpam-4014	221	31	.	.	PUNCT
ejpam-4014	222	1	we	we	PRON
ejpam-4014	222	2	showed	show	VERB
ejpam-4014	222	3	that	that	SCONJ
ejpam-4014	222	4	using	use	VERB
ejpam-4014	222	5	the	the	DET
ejpam-4014	222	6	both	both	DET
ejpam-4014	222	7	method	method	NOUN
ejpam-4014	222	8	,	,	PUNCT
ejpam-4014	222	9	we	we	PRON
ejpam-4014	222	10	get	get	VERB
ejpam-4014	222	11	the	the	DET
ejpam-4014	222	12	same	same	ADJ
ejpam-4014	222	13	solution	solution	NOUN
ejpam-4014	222	14	.	.	PUNCT
ejpam-4014	223	1	there	there	PRON
ejpam-4014	223	2	are	be	VERB
ejpam-4014	223	3	then	then	ADV
ejpam-4014	223	4	the	the	DET
ejpam-4014	223	5	very	very	ADV
ejpam-4014	223	6	powerful	powerful	ADJ
ejpam-4014	223	7	numerical	numerical	ADJ
ejpam-4014	223	8	tools	tool	NOUN
ejpam-4014	223	9	for	for	ADP
ejpam-4014	223	10	the	the	DET
ejpam-4014	223	11	resolution	resolution	NOUN
ejpam-4014	223	12	of	of	ADP
ejpam-4014	223	13	non	non	ADJ
ejpam-4014	223	14	linear	linear	PROPN
ejpam-4014	223	15	equations	equation	NOUN
ejpam-4014	223	16	and	and	CCONJ
ejpam-4014	223	17	systems	system	NOUN
ejpam-4014	223	18	of	of	ADP
ejpam-4014	223	19	nonlinear	nonlinear	ADJ
ejpam-4014	223	20	equations	equation	NOUN
ejpam-4014	223	21	of	of	ADP
ejpam-4014	223	22	volterra	volterra	PROPN
ejpam-4014	223	23	.	.	PUNCT
ejpam-4014	224	1	references	reference	NOUN
ejpam-4014	224	2	[	[	X
ejpam-4014	224	3	1	1	NUM
ejpam-4014	224	4	]	]	PUNCT
ejpam-4014	224	5	k.	k.	PROPN
ejpam-4014	224	6	abbaoui	abbaoui	PROPN
ejpam-4014	224	7	and	and	CCONJ
ejpam-4014	224	8	y.	y.	PROPN
ejpam-4014	224	9	cherruault	cherruault	PROPN
ejpam-4014	224	10	.	.	PUNCT
ejpam-4014	225	1	decomposition	decomposition	NOUN
ejpam-4014	225	2	method	method	NOUN
ejpam-4014	225	3	applied	apply	VERB
ejpam-4014	225	4	to	to	ADP
ejpam-4014	225	5	the	the	DET
ejpam-4014	225	6	cauchy	cauchy	PROPN
ejpam-4014	225	7	problem	problem	NOUN
ejpam-4014	225	8	.	.	PUNCT
ejpam-4014	226	1	kybernetes	kybernete	NOUN
ejpam-4014	226	2	,	,	PUNCT
ejpam-4014	226	3	28(1):68–74	28(1):68–74	NUM
ejpam-4014	226	4	,	,	PUNCT
ejpam-4014	226	5	1999	1999	NUM
ejpam-4014	226	6	.	.	PUNCT
ejpam-4014	227	1	[	[	X
ejpam-4014	227	2	2	2	X
ejpam-4014	227	3	]	]	PUNCT
ejpam-4014	227	4	s.	s.	PROPN
ejpam-4014	227	5	akhuri	akhuri	PROPN
ejpam-4014	227	6	.	.	PUNCT
ejpam-4014	228	1	laplace	laplace	NOUN
ejpam-4014	228	2	decomposition	decomposition	NOUN
ejpam-4014	228	3	algorithm	algorithm	NOUN
ejpam-4014	228	4	applied	apply	VERB
ejpam-4014	228	5	to	to	ADP
ejpam-4014	228	6	clas	clas	PROPN
ejpam-4014	228	7	of	of	ADP
ejpam-4014	228	8	nonlinear	nonlinear	PROPN
ejpam-4014	228	9	differential	differential	ADJ
ejpam-4014	228	10	equations	equation	NOUN
ejpam-4014	228	11	.	.	PUNCT
ejpam-4014	229	1	j.math.appl	j.math.appl	PROPN
ejpam-4014	229	2	,	,	PUNCT
ejpam-4014	229	3	1(4):141–155	1(4):141–155	NUM
ejpam-4014	229	4	,	,	PUNCT
ejpam-4014	229	5	2001	2001	NUM
ejpam-4014	229	6	.	.	PUNCT
ejpam-4014	230	1	[	[	X
ejpam-4014	230	2	3	3	X
ejpam-4014	230	3	]	]	X
ejpam-4014	230	4	b.abbo	b.abbo	PROPN
ejpam-4014	230	5	,	,	PUNCT
ejpam-4014	230	6	n.ngarhasta	n.ngarhasta	NOUN
ejpam-4014	230	7	,	,	PUNCT
ejpam-4014	230	8	b.mampassi	b.mampassi	NOUN
ejpam-4014	230	9	,	,	PUNCT
ejpam-4014	230	10	b.some	b.some	NOUN
ejpam-4014	230	11	,	,	PUNCT
ejpam-4014	230	12	and	and	CCONJ
ejpam-4014	230	13	l.	l.	PROPN
ejpam-4014	230	14	some	some	PRON
ejpam-4014	230	15	.	.	PUNCT
ejpam-4014	231	1	a	a	DET
ejpam-4014	231	2	new	new	ADJ
ejpam-4014	231	3	approach	approach	NOUN
ejpam-4014	231	4	of	of	ADP
ejpam-4014	231	5	the	the	DET
ejpam-4014	231	6	adomian	adomian	NOUN
ejpam-4014	231	7	algorithm	algorithm	NOUN
ejpam-4014	231	8	for	for	ADP
ejpam-4014	231	9	solving	solve	VERB
ejpam-4014	231	10	nonlinear	nonlinear	ADJ
ejpam-4014	231	11	ordinary	ordinary	ADJ
ejpam-4014	231	12	or	or	CCONJ
ejpam-4014	231	13	partial	partial	ADJ
ejpam-4014	231	14	differential	differential	ADJ
ejpam-4014	231	15	equations	equation	NOUN
ejpam-4014	231	16	.	.	PUNCT
ejpam-4014	232	1	far	far	ADV
ejpam-4014	232	2	east	east	PROPN
ejpam-4014	232	3	j.appl	j.appl	NOUN
ejpam-4014	232	4	.	.	PUNCT
ejpam-4014	233	1	math	math	NOUN
ejpam-4014	233	2	,	,	PUNCT
ejpam-4014	233	3	23(3):299–312	23(3):299–312	NUM
ejpam-4014	233	4	,	,	PUNCT
ejpam-4014	233	5	2006	2006	NUM
ejpam-4014	233	6	.	.	PUNCT
ejpam-4014	234	1	[	[	X
ejpam-4014	234	2	4	4	X
ejpam-4014	234	3	]	]	PUNCT
ejpam-4014	234	4	pierre	pierre	X
ejpam-4014	234	5	baki	baki	PROPN
ejpam-4014	234	6	-	-	PUNCT
ejpam-4014	234	7	tangou	tangou	VERB
ejpam-4014	234	8	and	and	CCONJ
ejpam-4014	234	9	gabriel	gabriel	PROPN
ejpam-4014	234	10	bissanga	bissanga	PROPN
ejpam-4014	234	11	.	.	PUNCT
ejpam-4014	235	1	application	application	NOUN
ejpam-4014	235	2	of	of	ADP
ejpam-4014	235	3	adomian	adomian	ADJ
ejpam-4014	235	4	decomposition	decomposition	NOUN
ejpam-4014	235	5	method	method	NOUN
ejpam-4014	235	6	to	to	ADP
ejpam-4014	235	7	solving	solve	VERB
ejpam-4014	235	8	the	the	DET
ejpam-4014	235	9	duffing	duffing	NOUN
ejpam-4014	235	10	-	-	PUNCT
ejpam-4014	235	11	van	van	PROPN
ejpam-4014	235	12	der	der	ADJ
ejpam-4014	235	13	pol	pol	NOUN
ejpam-4014	235	14	equation	equation	NOUN
ejpam-4014	235	15	.	.	PUNCT
ejpam-4014	236	1	communications	communication	NOUN
ejpam-4014	236	2	in	in	ADP
ejpam-4014	236	3	mathematical	mathematical	ADJ
ejpam-4014	236	4	analysis	analysis	NOUN
ejpam-4014	236	5	,	,	PUNCT
ejpam-4014	236	6	4(0):30–40	4(0):30–40	NUM
ejpam-4014	236	7	,	,	PUNCT
ejpam-4014	236	8	2008	2008	NUM
ejpam-4014	236	9	.	.	PUNCT
ejpam-4014	237	1	[	[	X
ejpam-4014	237	2	5	5	NUM
ejpam-4014	237	3	]	]	PUNCT
ejpam-4014	237	4	francis	francis	PROPN
ejpam-4014	237	5	bassono	bassono	PROPN
ejpam-4014	237	6	,	,	PUNCT
ejpam-4014	237	7	pare	pare	PROPN
ejpam-4014	237	8	youssouf	youssouf	PROPN
ejpam-4014	237	9	,	,	PUNCT
ejpam-4014	237	10	gabriel	gabriel	PROPN
ejpam-4014	237	11	bissanga	bissanga	PROPN
ejpam-4014	237	12	,	,	PUNCT
ejpam-4014	237	13	and	and	CCONJ
ejpam-4014	237	14	blaise	blaise	PROPN
ejpam-4014	237	15	some	some	PRON
ejpam-4014	237	16	.	.	PUNCT
ejpam-4014	238	1	application	application	NOUN
ejpam-4014	238	2	of	of	ADP
ejpam-4014	238	3	the	the	DET
ejpam-4014	238	4	adomian	adomian	NOUN
ejpam-4014	238	5	decomposition	decomposition	NOUN
ejpam-4014	238	6	method	method	NOUN
ejpam-4014	238	7	and	and	CCONJ
ejpam-4014	238	8	the	the	DET
ejpam-4014	238	9	perturbation	perturbation	NOUN
ejpam-4014	238	10	method	method	NOUN
ejpam-4014	238	11	to	to	ADP
ejpam-4014	238	12	solving	solve	VERB
ejpam-4014	238	13	a	a	DET
ejpam-4014	238	14	sytem	sytem	NOUN
ejpam-4014	238	15	of	of	ADP
ejpam-4014	238	16	perturbation	perturbation	NOUN
ejpam-4014	238	17	equations	equation	NOUN
ejpam-4014	238	18	.	.	PUNCT
ejpam-4014	239	1	far	far	PROPN
ejpam-4014	239	2	east	east	PROPN
ejpam-4014	239	3	journal	journal	PROPN
ejpam-4014	239	4	of	of	ADP
ejpam-4014	239	5	applied	apply	VERB
ejpam-4014	239	6	mathematics	mathematic	NOUN
ejpam-4014	239	7	,	,	PUNCT
ejpam-4014	239	8	72(2):91–99	72(2):91–99	NUM
ejpam-4014	239	9	,	,	PUNCT
ejpam-4014	239	10	2012	2012	NUM
ejpam-4014	239	11	.	.	PUNCT
ejpam-4014	240	1	[	[	X
ejpam-4014	240	2	6	6	NUM
ejpam-4014	240	3	]	]	PUNCT
ejpam-4014	240	4	m.	m.	NOUN
ejpam-4014	240	5	hussain	hussain	PROPN
ejpam-4014	240	6	and	and	CCONJ
ejpam-4014	240	7	majid	majid	PROPN
ejpam-4014	240	8	khan	khan	PROPN
ejpam-4014	240	9	.	.	PUNCT
ejpam-4014	241	1	modified	modify	VERB
ejpam-4014	241	2	laplace	laplace	NOUN
ejpam-4014	241	3	decomposition	decomposition	NOUN
ejpam-4014	241	4	method	method	NOUN
ejpam-4014	241	5	.	.	PUNCT
ejpam-4014	242	1	applied	apply	VERB
ejpam-4014	242	2	mathematical	mathematical	ADJ
ejpam-4014	242	3	sciences	science	NOUN
ejpam-4014	242	4	,	,	PUNCT
ejpam-4014	242	5	4(36):1769–1783	4(36):1769–1783	NUM
ejpam-4014	242	6	.	.	PUNCT
ejpam-4014	242	7	,	,	PUNCT
ejpam-4014	242	8	2010	2010	NUM
ejpam-4014	242	9	.	.	PUNCT
ejpam-4014	243	1	references	reference	NOUN
ejpam-4014	243	2	1056	1056	NUM
ejpam-4014	244	1	[	[	X
ejpam-4014	244	2	7	7	X
ejpam-4014	244	3	]	]	X
ejpam-4014	244	4	k.abbaoui	k.abbaoui	NOUN
ejpam-4014	244	5	and	and	CCONJ
ejpam-4014	244	6	y.	y.	PROPN
ejpam-4014	244	7	cherruault	cherruault	PROPN
ejpam-4014	244	8	.	.	PUNCT
ejpam-4014	245	1	convergence	convergence	NOUN
ejpam-4014	245	2	of	of	ADP
ejpam-4014	245	3	adomian	adomian	NOUN
ejpam-4014	245	4	method	method	NOUN
ejpam-4014	245	5	applied	apply	VERB
ejpam-4014	245	6	to	to	ADP
ejpam-4014	245	7	differential	differential	ADJ
ejpam-4014	245	8	equations	equation	NOUN
ejpam-4014	245	9	.	.	PUNCT
ejpam-4014	246	1	math	math	NOUN
ejpam-4014	246	2	.	.	PUNCT
ejpam-4014	247	1	comput	comput	NOUN
ejpam-4014	247	2	.	.	PUNCT
ejpam-4014	248	1	modelling	modelling	NOUN
ejpam-4014	248	2	,	,	PUNCT
ejpam-4014	248	3	28(5):103–109	28(5):103–109	NUM
ejpam-4014	248	4	,	,	PUNCT
ejpam-4014	248	5	1994	1994	NUM
ejpam-4014	248	6	.	.	PUNCT
ejpam-4014	249	1	[	[	X
ejpam-4014	249	2	8	8	NUM
ejpam-4014	249	3	]	]	X
ejpam-4014	249	4	s.	s.	PROPN
ejpam-4014	249	5	khelifa	khelifa	PROPN
ejpam-4014	249	6	and	and	CCONJ
ejpam-4014	249	7	yves	yve	NOUN
ejpam-4014	249	8	cherruault	cherruault	NOUN
ejpam-4014	249	9	.	.	PUNCT
ejpam-4014	250	1	the	the	DET
ejpam-4014	250	2	decomposition	decomposition	NOUN
ejpam-4014	250	3	method	method	NOUN
ejpam-4014	250	4	for	for	ADP
ejpam-4014	250	5	solving	solve	VERB
ejpam-4014	250	6	first	first	ADJ
ejpam-4014	250	7	order	order	NOUN
ejpam-4014	250	8	partial	partial	ADJ
ejpam-4014	250	9	differential	differential	NOUN
ejpam-4014	250	10	equations	equation	NOUN
ejpam-4014	250	11	.	.	PUNCT
ejpam-4014	251	1	kybernetes	kybernete	NOUN
ejpam-4014	251	2	,	,	PUNCT
ejpam-4014	251	3	31(6):844–871	31(6):844–871	PROPN
ejpam-4014	251	4	,	,	PUNCT
ejpam-4014	251	5	2002	2002	NUM
ejpam-4014	251	6	.	.	PUNCT
ejpam-4014	252	1	[	[	X
ejpam-4014	252	2	9	9	NUM
ejpam-4014	252	3	]	]	PUNCT
ejpam-4014	252	4	n.ngarhasta	n.ngarhasta	PROPN
ejpam-4014	252	5	.	.	PUNCT
ejpam-4014	252	6	,	,	PUNCT
ejpam-4014	252	7	b.some	b.some	NOUN
ejpam-4014	252	8	,	,	PUNCT
ejpam-4014	252	9	k.abbaoui	k.abbaoui	ADV
ejpam-4014	252	10	,	,	PUNCT
ejpam-4014	252	11	and	and	CCONJ
ejpam-4014	252	12	y.	y.	PROPN
ejpam-4014	252	13	cherruault	cherruault	PROPN
ejpam-4014	252	14	.	.	PUNCT
ejpam-4014	253	1	new	new	ADJ
ejpam-4014	253	2	numerical	numerical	PROPN
ejpam-4014	253	3	study	study	PROPN
ejpam-4014	253	4	of	of	ADP
ejpam-4014	253	5	adomian	adomian	PROPN
ejpam-4014	253	6	method	method	NOUN
ejpam-4014	253	7	applied	apply	VERB
ejpam-4014	253	8	to	to	ADP
ejpam-4014	253	9	a	a	DET
ejpam-4014	253	10	diffusion	diffusion	NOUN
ejpam-4014	253	11	model	model	NOUN
ejpam-4014	253	12	.	.	PUNCT
ejpam-4014	254	1	kybernetes	kybernete	NOUN
ejpam-4014	254	2	,	,	PUNCT
ejpam-4014	254	3	31(1):61–75	31(1):61–75	NUM
ejpam-4014	254	4	,	,	PUNCT
ejpam-4014	254	5	2002	2002	NUM
ejpam-4014	254	6	.	.	PUNCT
ejpam-4014	255	1	[	[	X
ejpam-4014	255	2	10	10	NUM
ejpam-4014	255	3	]	]	X
ejpam-4014	255	4	blaise	blaise	PROPN
ejpam-4014	255	5	some	some	PRON
ejpam-4014	255	6	.	.	PUNCT
ejpam-4014	256	1	méthode	méthode	PROPN
ejpam-4014	256	2	sba	sba	PROPN
ejpam-4014	256	3	de	de	PROPN
ejpam-4014	256	4	résolution	résolution	PROPN
ejpam-4014	256	5	des	des	PROPN
ejpam-4014	256	6	modèles	modèle	VERB
ejpam-4014	256	7	mathématiques	mathématiques	PROPN
ejpam-4014	256	8	en	en	X
ejpam-4014	256	9	environnement	environnement	NOUN
ejpam-4014	256	10	.	.	PUNCT
ejpam-4014	257	1	editions	edition	NOUN
ejpam-4014	257	2	universitaires	universitaire	VERB
ejpam-4014	257	3	européennes	européenne	NOUN
ejpam-4014	257	4	,	,	PUNCT
ejpam-4014	257	5	2019	2019	NUM
ejpam-4014	257	6	.	.	PUNCT
ejpam-4014	258	1	[	[	X
ejpam-4014	258	2	11	11	NUM
ejpam-4014	258	3	]	]	PUNCT
ejpam-4014	258	4	pare	pare	PROPN
ejpam-4014	258	5	youssouf	youssouf	PROPN
ejpam-4014	258	6	.	.	PUNCT
ejpam-4014	259	1	résolution	résolution	PROPN
ejpam-4014	259	2	de	de	X
ejpam-4014	259	3	quelques	quelques	X
ejpam-4014	259	4	équations	équations	PROPN
ejpam-4014	259	5	fonctionnelles	fonctionnelle	NOUN
ejpam-4014	259	6	par	par	NOUN
ejpam-4014	259	7	la	la	PROPN
ejpam-4014	259	8	méthode	méthode	PROPN
ejpam-4014	259	9	sba	sba	PROPN
ejpam-4014	259	10	(	(	PUNCT
ejpam-4014	259	11	somé	somé	NOUN
ejpam-4014	259	12	blaise	blaise	PROPN
ejpam-4014	259	13	-	-	PUNCT
ejpam-4014	259	14	abbo	abbo	PROPN
ejpam-4014	259	15	)	)	PUNCT
ejpam-4014	259	16	.	.	PUNCT
ejpam-4014	260	1	phd	phd	NOUN
ejpam-4014	260	2	thesis	thesis	NOUN
ejpam-4014	260	3	,	,	PUNCT
ejpam-4014	260	4	université	université	ADJ
ejpam-4014	260	5	de	de	X
ejpam-4014	260	6	ouagadougou	ouagadougou	PROPN
ejpam-4014	260	7	,	,	PUNCT
ejpam-4014	260	8	2010	2010	NUM
ejpam-4014	260	9	.	.	PUNCT
ejpam-4014	261	1	[	[	X
ejpam-4014	261	2	12	12	NUM
ejpam-4014	261	3	]	]	X
ejpam-4014	261	4	pare	pare	PROPN
ejpam-4014	261	5	youssouf	youssouf	PROPN
ejpam-4014	261	6	,	,	PUNCT
ejpam-4014	261	7	francis	francis	PROPN
ejpam-4014	261	8	bassono	bassono	PROPN
ejpam-4014	261	9	,	,	PUNCT
ejpam-4014	261	10	and	and	CCONJ
ejpam-4014	261	11	blaise	blaise	PROPN
ejpam-4014	261	12	some	some	PRON
ejpam-4014	261	13	.	.	PUNCT
ejpam-4014	262	1	a	a	DET
ejpam-4014	262	2	new	new	ADJ
ejpam-4014	262	3	technique	technique	NOUN
ejpam-4014	262	4	for	for	ADP
ejpam-4014	262	5	numerical	numerical	ADJ
ejpam-4014	262	6	resolution	resolution	NOUN
ejpam-4014	262	7	of	of	ADP
ejpam-4014	262	8	few	few	ADJ
ejpam-4014	262	9	nonlinear	nonlinear	ADJ
ejpam-4014	262	10	integral	integral	ADJ
ejpam-4014	262	11	equations	equation	NOUN
ejpam-4014	262	12	of	of	ADP
ejpam-4014	262	13	fredholm	fredholm	NOUN
ejpam-4014	262	14	by	by	ADP
ejpam-4014	262	15	sba	sba	PROPN
ejpam-4014	262	16	method	method	PROPN
ejpam-4014	262	17	.	.	PUNCT
ejpam-4014	263	1	international	international	ADJ
ejpam-4014	263	2	journal	journal	PROPN
ejpam-4014	263	3	of	of	ADP
ejpam-4014	263	4	applied	apply	VERB
ejpam-4014	263	5	mathematical	mathematical	ADJ
ejpam-4014	263	6	research	research	NOUN
ejpam-4014	263	7	,	,	PUNCT
ejpam-4014	263	8	70(1):21–33	70(1):21–33	NUM
ejpam-4014	263	9	,	,	PUNCT
ejpam-4014	263	10	2012	2012	NUM
ejpam-4014	263	11	.	.	PUNCT