id	sid	tid	token	lemma	pos
ejpam-3409	1	1	european	european	PROPN
ejpam-3409	1	2	journal	journal	PROPN
ejpam-3409	1	3	of	of	ADP
ejpam-3409	1	4	pure	pure	ADJ
ejpam-3409	1	5	and	and	CCONJ
ejpam-3409	1	6	applied	apply	VERB
ejpam-3409	1	7	mathematics	mathematic	NOUN
ejpam-3409	1	8	vol	vol	NOUN
ejpam-3409	1	9	.	.	PROPN
ejpam-3409	2	1	12	12	NUM
ejpam-3409	2	2	,	,	PUNCT
ejpam-3409	2	3	no	no	INTJ
ejpam-3409	2	4	.	.	NOUN
ejpam-3409	2	5	3	3	NUM
ejpam-3409	2	6	,	,	PUNCT
ejpam-3409	2	7	2019	2019	NUM
ejpam-3409	2	8	,	,	PUNCT
ejpam-3409	2	9	1096	1096	NUM
ejpam-3409	2	10	-	-	PUNCT
ejpam-3409	2	11	1105	1105	NUM
ejpam-3409	2	12	issn	issn	PROPN
ejpam-3409	2	13	1307	1307	NUM
ejpam-3409	2	14	-	-	SYM
ejpam-3409	2	15	5543	5543	NUM
ejpam-3409	2	16	–	–	PUNCT
ejpam-3409	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3409	2	18	published	publish	VERB
ejpam-3409	2	19	by	by	ADP
ejpam-3409	2	20	new	new	PROPN
ejpam-3409	2	21	york	york	PROPN
ejpam-3409	2	22	business	business	PROPN
ejpam-3409	2	23	global	global	ADJ
ejpam-3409	2	24	application	application	NOUN
ejpam-3409	2	25	of	of	ADP
ejpam-3409	2	26	the	the	DET
ejpam-3409	2	27	sba	sba	PROPN
ejpam-3409	2	28	method	method	NOUN
ejpam-3409	2	29	to	to	PART
ejpam-3409	2	30	solve	solve	VERB
ejpam-3409	2	31	the	the	DET
ejpam-3409	2	32	nonlinear	nonlinear	ADJ
ejpam-3409	2	33	biological	biological	ADJ
ejpam-3409	2	34	population	population	NOUN
ejpam-3409	2	35	models	model	NOUN
ejpam-3409	2	36	stevy	stevy	ADJ
ejpam-3409	2	37	mikamona	mikamona	PROPN
ejpam-3409	2	38	mayembo1	mayembo1	PROPN
ejpam-3409	2	39	,	,	PUNCT
ejpam-3409	2	40	joseph	joseph	PROPN
ejpam-3409	2	41	bonazebi	bonazebi	PROPN
ejpam-3409	2	42	-	-	PUNCT
ejpam-3409	2	43	yindoula1	yindoula1	NOUN
ejpam-3409	2	44	,	,	PUNCT
ejpam-3409	2	45	youssouf	youssouf	PROPN
ejpam-3409	2	46	paré2,∗	paré2,∗	PROPN
ejpam-3409	2	47	,	,	PUNCT
ejpam-3409	2	48	gabriel	gabriel	PROPN
ejpam-3409	2	49	bissanga1	bissanga1	PROPN
ejpam-3409	3	1	1	1	NUM
ejpam-3409	3	2	département	département	PROPN
ejpam-3409	3	3	de	de	X
ejpam-3409	3	4	mathématiques	mathématiques	X
ejpam-3409	3	5	et	et	NOUN
ejpam-3409	3	6	informatiques	informatique	NOUN
ejpam-3409	3	7	,	,	PUNCT
ejpam-3409	3	8	facultés	facultés	PROPN
ejpam-3409	3	9	des	des	PROPN
ejpam-3409	3	10	sciences	sciences	PROPN
ejpam-3409	3	11	et	et	NOUN
ejpam-3409	3	12	techniques	technique	NOUN
ejpam-3409	3	13	,	,	PUNCT
ejpam-3409	3	14	université	université	PROPN
ejpam-3409	3	15	marien	marien	PROPN
ejpam-3409	3	16	ngouabi	ngouabi	PROPN
ejpam-3409	3	17	,	,	PUNCT
ejpam-3409	3	18	brazzaville	brazzaville	PROPN
ejpam-3409	3	19	,	,	PUNCT
ejpam-3409	3	20	congo	congo	PROPN
ejpam-3409	3	21	2	2	NUM
ejpam-3409	3	22	département	département	PROPN
ejpam-3409	3	23	de	de	X
ejpam-3409	3	24	mathématiques	mathématiques	PROPN
ejpam-3409	3	25	,	,	PUNCT
ejpam-3409	3	26	ufr	ufr	PROPN
ejpam-3409	3	27	/	/	SYM
ejpam-3409	3	28	sciences	science	NOUN
ejpam-3409	3	29	exactes	exact	VERB
ejpam-3409	3	30	et	et	NOUN
ejpam-3409	3	31	appliquées	appliquée	NOUN
ejpam-3409	3	32	,	,	PUNCT
ejpam-3409	3	33	université	université	ADJ
ejpam-3409	3	34	ouaga	ouaga	NOUN
ejpam-3409	3	35	i	i	PRON
ejpam-3409	3	36	pr	pr	VERB
ejpam-3409	3	37	joseph	joseph	PROPN
ejpam-3409	3	38	ki	ki	PROPN
ejpam-3409	3	39	-	-	PUNCT
ejpam-3409	3	40	zerbo	zerbo	PROPN
ejpam-3409	3	41	,	,	PUNCT
ejpam-3409	3	42	ouagadougou	ouagadougou	PROPN
ejpam-3409	3	43	,	,	PUNCT
ejpam-3409	3	44	burkina	burkina	PROPN
ejpam-3409	3	45	-	-	PUNCT
ejpam-3409	3	46	faso	faso	PROPN
ejpam-3409	3	47	abstract	abstract	NOUN
ejpam-3409	3	48	.	.	PUNCT
ejpam-3409	4	1	this	this	DET
ejpam-3409	4	2	paper	paper	NOUN
ejpam-3409	4	3	presents	present	VERB
ejpam-3409	4	4	numerical	numerical	ADJ
ejpam-3409	4	5	solution	solution	NOUN
ejpam-3409	4	6	of	of	ADP
ejpam-3409	4	7	some	some	DET
ejpam-3409	4	8	nonlinear	nonlinear	ADJ
ejpam-3409	4	9	degenerate	degenerate	ADJ
ejpam-3409	4	10	parabolic	parabolic	NOUN
ejpam-3409	4	11	equations	equation	NOUN
ejpam-3409	4	12	arising	arise	VERB
ejpam-3409	4	13	in	in	ADP
ejpam-3409	4	14	the	the	DET
ejpam-3409	4	15	spatial	spatial	ADJ
ejpam-3409	4	16	diffusion	diffusion	NOUN
ejpam-3409	4	17	of	of	ADP
ejpam-3409	4	18	biological	biological	ADJ
ejpam-3409	4	19	populations	population	NOUN
ejpam-3409	4	20	.	.	PUNCT
ejpam-3409	5	1	the	the	DET
ejpam-3409	5	2	sba	sba	PROPN
ejpam-3409	5	3	method	method	NOUN
ejpam-3409	5	4	based	base	VERB
ejpam-3409	5	5	on	on	ADP
ejpam-3409	5	6	combination	combination	NOUN
ejpam-3409	5	7	of	of	ADP
ejpam-3409	5	8	adomian	adomian	ADJ
ejpam-3409	5	9	decomposition	decomposition	NOUN
ejpam-3409	5	10	method	method	NOUN
ejpam-3409	5	11	,	,	PUNCT
ejpam-3409	5	12	principle	principle	NOUN
ejpam-3409	5	13	of	of	ADP
ejpam-3409	5	14	picard	picard	NOUN
ejpam-3409	5	15	and	and	CCONJ
ejpam-3409	5	16	successive	successive	ADJ
ejpam-3409	5	17	approximations	approximation	NOUN
ejpam-3409	5	18	is	be	AUX
ejpam-3409	5	19	used	use	VERB
ejpam-3409	5	20	for	for	ADP
ejpam-3409	5	21	solving	solve	VERB
ejpam-3409	5	22	these	these	DET
ejpam-3409	5	23	equations	equation	NOUN
ejpam-3409	5	24	.	.	PUNCT
ejpam-3409	6	1	the	the	DET
ejpam-3409	6	2	analytical	analytical	ADJ
ejpam-3409	6	3	obtained	obtain	VERB
ejpam-3409	6	4	solutions	solution	NOUN
ejpam-3409	6	5	show	show	VERB
ejpam-3409	6	6	that	that	SCONJ
ejpam-3409	6	7	the	the	DET
ejpam-3409	6	8	sba	sba	PROPN
ejpam-3409	6	9	method	method	NOUN
ejpam-3409	6	10	leads	lead	VERB
ejpam-3409	6	11	to	to	ADP
ejpam-3409	6	12	more	more	ADV
ejpam-3409	6	13	accurate	accurate	ADJ
ejpam-3409	6	14	results	result	NOUN
ejpam-3409	6	15	.	.	PUNCT
ejpam-3409	7	1	2010	2010	NUM
ejpam-3409	7	2	mathematics	mathematic	NOUN
ejpam-3409	7	3	subject	subject	NOUN
ejpam-3409	7	4	classifications	classification	NOUN
ejpam-3409	7	5	:	:	PUNCT
ejpam-3409	7	6	47h14	47h14	NOUN
ejpam-3409	7	7	,	,	PUNCT
ejpam-3409	7	8	34g20	34g20	NUM
ejpam-3409	7	9	,	,	PUNCT
ejpam-3409	7	10	47j25	47j25	NUM
ejpam-3409	7	11	,	,	PUNCT
ejpam-3409	7	12	65j15	65j15	NUM
ejpam-3409	7	13	key	key	ADJ
ejpam-3409	7	14	words	word	NOUN
ejpam-3409	7	15	and	and	CCONJ
ejpam-3409	7	16	phrases	phrase	NOUN
ejpam-3409	7	17	:	:	PUNCT
ejpam-3409	7	18	sba	sba	PROPN
ejpam-3409	7	19	method	method	PROPN
ejpam-3409	7	20	,	,	PUNCT
ejpam-3409	7	21	adm	adm	PROPN
ejpam-3409	7	22	method	method	NOUN
ejpam-3409	7	23	,	,	PUNCT
ejpam-3409	7	24	biological	biological	ADJ
ejpam-3409	7	25	population	population	NOUN
ejpam-3409	7	26	model	model	NOUN
ejpam-3409	7	27	,	,	PUNCT
ejpam-3409	7	28	spatial	spatial	ADJ
ejpam-3409	7	29	diffusion	diffusion	NOUN
ejpam-3409	7	30	of	of	ADP
ejpam-3409	7	31	species	specie	NOUN
ejpam-3409	7	32	,	,	PUNCT
ejpam-3409	7	33	picard	picard	PROPN
ejpam-3409	7	34	principle	principle	NOUN
ejpam-3409	7	35	,	,	PUNCT
ejpam-3409	7	36	successive	successive	ADJ
ejpam-3409	7	37	approximations	approximation	NOUN
ejpam-3409	7	38	1	1	NUM
ejpam-3409	7	39	.	.	PUNCT
ejpam-3409	7	40	introduction	introduction	NOUN
ejpam-3409	7	41	the	the	DET
ejpam-3409	7	42	spatial	spatial	ADJ
ejpam-3409	7	43	diffusion	diffusion	NOUN
ejpam-3409	7	44	of	of	ADP
ejpam-3409	7	45	some	some	DET
ejpam-3409	7	46	biological	biological	ADJ
ejpam-3409	7	47	species	specie	NOUN
ejpam-3409	7	48	is	be	AUX
ejpam-3409	7	49	described	describe	VERB
ejpam-3409	7	50	by	by	ADP
ejpam-3409	7	51	nonlinear	nonlinear	ADJ
ejpam-3409	7	52	partial	partial	ADJ
ejpam-3409	7	53	differential	differential	NOUN
ejpam-3409	7	54	equations	equation	NOUN
ejpam-3409	7	55	.	.	PUNCT
ejpam-3409	8	1	in	in	ADP
ejpam-3409	8	2	the	the	DET
ejpam-3409	8	3	last	last	ADJ
ejpam-3409	8	4	years	year	NOUN
ejpam-3409	8	5	,	,	PUNCT
ejpam-3409	8	6	various	various	ADJ
ejpam-3409	8	7	numerical	numerical	ADJ
ejpam-3409	8	8	powerful	powerful	ADJ
ejpam-3409	8	9	methods	method	NOUN
ejpam-3409	8	10	have	have	AUX
ejpam-3409	8	11	been	be	AUX
ejpam-3409	8	12	applied	apply	VERB
ejpam-3409	8	13	to	to	PART
ejpam-3409	8	14	get	get	VERB
ejpam-3409	8	15	the	the	DET
ejpam-3409	8	16	solutions	solution	NOUN
ejpam-3409	8	17	of	of	ADP
ejpam-3409	8	18	general	general	ADJ
ejpam-3409	8	19	degenerate	degenerate	ADJ
ejpam-3409	8	20	parabolic	parabolic	NOUN
ejpam-3409	8	21	equations	equation	NOUN
ejpam-3409	8	22	,	,	PUNCT
ejpam-3409	8	23	such	such	ADJ
ejpam-3409	8	24	as	as	ADP
ejpam-3409	8	25	collocation	collocation	NOUN
ejpam-3409	8	26	methods	method	NOUN
ejpam-3409	8	27	with	with	ADP
ejpam-3409	8	28	mesh	mesh	NOUN
ejpam-3409	8	29	-	-	PUNCT
ejpam-3409	8	30	free	free	ADJ
ejpam-3409	8	31	technique	technique	NOUN
ejpam-3409	8	32	[	[	X
ejpam-3409	8	33	2	2	NUM
ejpam-3409	8	34	]	]	PUNCT
ejpam-3409	8	35	,	,	PUNCT
ejpam-3409	8	36	variational	variational	ADJ
ejpam-3409	8	37	iteration	iteration	NOUN
ejpam-3409	8	38	method	method	NOUN
ejpam-3409	8	39	[	[	X
ejpam-3409	8	40	10	10	NUM
ejpam-3409	8	41	]	]	PUNCT
ejpam-3409	8	42	,	,	PUNCT
ejpam-3409	8	43	adomian	adomian	NOUN
ejpam-3409	8	44	decomposition	decomposition	NOUN
ejpam-3409	8	45	method	method	NOUN
ejpam-3409	8	46	(	(	PUNCT
ejpam-3409	8	47	adm	adm	PROPN
ejpam-3409	8	48	)	)	PUNCT
ejpam-3409	9	1	[	[	X
ejpam-3409	9	2	1	1	NUM
ejpam-3409	9	3	,	,	PUNCT
ejpam-3409	9	4	13	13	NUM
ejpam-3409	9	5	]	]	PUNCT
ejpam-3409	9	6	,	,	PUNCT
ejpam-3409	9	7	homotopy	homotopy	VERB
ejpam-3409	9	8	perturbation	perturbation	NOUN
ejpam-3409	9	9	method	method	NOUN
ejpam-3409	9	10	[	[	X
ejpam-3409	9	11	8	8	NUM
ejpam-3409	9	12	,	,	PUNCT
ejpam-3409	9	13	9	9	NUM
ejpam-3409	9	14	]	]	PUNCT
ejpam-3409	9	15	,	,	PUNCT
ejpam-3409	9	16	homotopy	homotopy	VERB
ejpam-3409	9	17	analysis	analysis	NOUN
ejpam-3409	9	18	sumudu	sumudu	NOUN
ejpam-3409	9	19	transform	transform	VERB
ejpam-3409	9	20	method	method	NOUN
ejpam-3409	9	21	[	[	X
ejpam-3409	9	22	12	12	NUM
ejpam-3409	9	23	]	]	PUNCT
ejpam-3409	9	24	,	,	PUNCT
ejpam-3409	9	25	etc	etc	X
ejpam-3409	9	26	.	.	X
ejpam-3409	10	1	the	the	DET
ejpam-3409	10	2	objective	objective	NOUN
ejpam-3409	10	3	of	of	ADP
ejpam-3409	10	4	this	this	DET
ejpam-3409	10	5	paper	paper	NOUN
ejpam-3409	10	6	is	be	AUX
ejpam-3409	10	7	to	to	PART
ejpam-3409	10	8	apply	apply	VERB
ejpam-3409	10	9	some	some	DET
ejpam-3409	10	10	blaise	blaise	PROPN
ejpam-3409	10	11	abbo(sba	abbo(sba	PROPN
ejpam-3409	10	12	)	)	PUNCT
ejpam-3409	10	13	method	method	NOUN
ejpam-3409	10	14	,	,	PUNCT
ejpam-3409	10	15	which	which	PRON
ejpam-3409	10	16	is	be	AUX
ejpam-3409	10	17	an	an	DET
ejpam-3409	10	18	elegant	elegant	ADJ
ejpam-3409	10	19	combination	combination	NOUN
ejpam-3409	10	20	of	of	ADP
ejpam-3409	10	21	adm	adm	PROPN
ejpam-3409	10	22	[	[	X
ejpam-3409	10	23	3	3	NUM
ejpam-3409	10	24	]	]	PUNCT
ejpam-3409	10	25	,	,	PUNCT
ejpam-3409	10	26	and	and	CCONJ
ejpam-3409	10	27	picard	picard	NOUN
ejpam-3409	10	28	principle	principle	NOUN
ejpam-3409	10	29	and	and	CCONJ
ejpam-3409	10	30	successive	successive	ADJ
ejpam-3409	10	31	approximations	approximation	NOUN
ejpam-3409	10	32	[	[	X
ejpam-3409	10	33	5	5	NUM
ejpam-3409	10	34	]	]	PUNCT
ejpam-3409	10	35	to	to	PART
ejpam-3409	10	36	find	find	VERB
ejpam-3409	10	37	the	the	DET
ejpam-3409	10	38	analytical	analytical	ADJ
ejpam-3409	10	39	solution	solution	NOUN
ejpam-3409	10	40	of	of	ADP
ejpam-3409	10	41	some	some	DET
ejpam-3409	10	42	degenerate	degenerate	ADJ
ejpam-3409	10	43	parabolic	parabolic	ADJ
ejpam-3409	10	44	equations	equation	NOUN
ejpam-3409	10	45	arising	arise	VERB
ejpam-3409	10	46	in	in	ADP
ejpam-3409	10	47	the	the	DET
ejpam-3409	10	48	spatial	spatial	ADJ
ejpam-3409	10	49	diffusion	diffusion	NOUN
ejpam-3409	10	50	of	of	ADP
ejpam-3409	10	51	time	time	NOUN
ejpam-3409	10	52	fractional	fractional	ADJ
ejpam-3409	10	53	biological	biological	ADJ
ejpam-3409	10	54	populations	population	NOUN
ejpam-3409	10	55	.	.	PUNCT
ejpam-3409	11	1	a	a	DET
ejpam-3409	11	2	particular	particular	ADJ
ejpam-3409	11	3	form	form	NOUN
ejpam-3409	11	4	of	of	ADP
ejpam-3409	11	5	these	these	DET
ejpam-3409	11	6	equations	equation	NOUN
ejpam-3409	11	7	is	be	AUX
ejpam-3409	11	8	given	give	VERB
ejpam-3409	11	9	by	by	ADP
ejpam-3409	11	10	:	:	PUNCT
ejpam-3409	11	11	∂u(x	∂u(x	PROPN
ejpam-3409	11	12	,	,	PUNCT
ejpam-3409	11	13	y	y	PROPN
ejpam-3409	11	14	,	,	PUNCT
ejpam-3409	11	15	t	t	PROPN
ejpam-3409	11	16	)	)	PUNCT
ejpam-3409	11	17	∂t	∂t	PROPN
ejpam-3409	11	18	=	=	SYM
ejpam-3409	11	19	∆u2(x	∆u2(x	PROPN
ejpam-3409	11	20	,	,	PUNCT
ejpam-3409	11	21	y	y	PROPN
ejpam-3409	11	22	,	,	PUNCT
ejpam-3409	11	23	t	t	PROPN
ejpam-3409	11	24	)	)	PUNCT
ejpam-3409	11	25	+	+	CCONJ
ejpam-3409	12	1	g(u	g(u	PROPN
ejpam-3409	12	2	)	)	PUNCT
ejpam-3409	12	3	,	,	PUNCT
ejpam-3409	12	4	(	(	PUNCT
ejpam-3409	12	5	x	x	X
ejpam-3409	12	6	,	,	PUNCT
ejpam-3409	12	7	y	y	NOUN
ejpam-3409	12	8	)	)	PUNCT
ejpam-3409	12	9	∈	∈	PROPN
ejpam-3409	12	10	r2	r2	NOUN
ejpam-3409	12	11	,	,	PUNCT
ejpam-3409	12	12	t	t	X
ejpam-3409	12	13	>	>	X
ejpam-3409	12	14	0	0	PUNCT
ejpam-3409	13	1	(	(	PUNCT
ejpam-3409	13	2	1	1	X
ejpam-3409	13	3	)	)	PUNCT
ejpam-3409	13	4	∗corresponding	∗corresponde	VERB
ejpam-3409	13	5	author	author	NOUN
ejpam-3409	13	6	.	.	PUNCT
ejpam-3409	14	1	doi	doi	NOUN
ejpam-3409	14	2	:	:	PUNCT
ejpam-3409	14	3	https://doi.org/10.29020/nybg.ejpam.v12i3.3409	https://doi.org/10.29020/nybg.ejpam.v12i3.3409	SYM
ejpam-3409	14	4	email	email	NOUN
ejpam-3409	14	5	addresses	address	NOUN
ejpam-3409	14	6	:	:	PUNCT
ejpam-3409	14	7	@yahoo.fr	@yahoo.fr	PROPN
ejpam-3409	14	8	(	(	PUNCT
ejpam-3409	14	9	s.m	s.m	PROPN
ejpam-3409	14	10	.	.	PROPN
ejpam-3409	14	11	mayembo	mayembo	PROPN
ejpam-3409	14	12	)	)	PUNCT
ejpam-3409	14	13	,	,	PUNCT
ejpam-3409	14	14	bonayindoula@yahoo.fr	bonayindoula@yahoo.fr	PROPN
ejpam-3409	14	15	(	(	PUNCT
ejpam-3409	14	16	j.b	j.b	PROPN
ejpam-3409	14	17	-	-	PUNCT
ejpam-3409	14	18	yindoula	yindoula	NOUN
ejpam-3409	14	19	)	)	PUNCT
ejpam-3409	14	20	,	,	PUNCT
ejpam-3409	14	21	pareyoussouf@yahoo.fr	pareyoussouf@yahoo.fr	PROPN
ejpam-3409	14	22	(	(	PUNCT
ejpam-3409	14	23	y.	y.	PROPN
ejpam-3409	14	24	paré	paré	NOUN
ejpam-3409	14	25	)	)	PUNCT
ejpam-3409	14	26	,	,	PUNCT
ejpam-3409	14	27	bissanga1@yahoo.fr	bissanga1@yahoo.fr	PROPN
ejpam-3409	14	28	(	(	PUNCT
ejpam-3409	14	29	g.	g.	NOUN
ejpam-3409	14	30	bissanga	bissanga	ADV
ejpam-3409	14	31	)	)	PUNCT
ejpam-3409	14	32	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3409	15	1	1096	1096	NUM
ejpam-3409	15	2	c	c	NOUN
ejpam-3409	15	3	©	©	PROPN
ejpam-3409	15	4	2019	2019	NUM
ejpam-3409	15	5	ejpam	ejpam	NOUN
ejpam-3409	15	6	all	all	DET
ejpam-3409	15	7	rights	right	NOUN
ejpam-3409	15	8	reserved	reserve	VERB
ejpam-3409	15	9	.	.	PUNCT
ejpam-3409	16	1	y.	y.	PROPN
ejpam-3409	16	2	paré	paré	PROPN
ejpam-3409	16	3	et	et	PROPN
ejpam-3409	16	4	al	al	PROPN
ejpam-3409	16	5	.	.	PUNCT
ejpam-3409	16	6	/	/	SYM
ejpam-3409	16	7	eur	eur	PROPN
ejpam-3409	16	8	.	.	PUNCT
ejpam-3409	17	1	j.	j.	PROPN
ejpam-3409	17	2	pure	pure	PROPN
ejpam-3409	17	3	appl	appl	PROPN
ejpam-3409	17	4	.	.	PROPN
ejpam-3409	17	5	math	math	PROPN
ejpam-3409	17	6	,	,	PUNCT
ejpam-3409	17	7	12	12	NUM
ejpam-3409	17	8	(	(	PUNCT
ejpam-3409	17	9	3	3	NUM
ejpam-3409	17	10	)	)	PUNCT
ejpam-3409	17	11	(	(	PUNCT
ejpam-3409	17	12	2019	2019	NUM
ejpam-3409	17	13	)	)	PUNCT
ejpam-3409	17	14	,	,	PUNCT
ejpam-3409	17	15	1096	1096	NUM
ejpam-3409	17	16	-	-	SYM
ejpam-3409	17	17	1105	1105	NUM
ejpam-3409	17	18	1097	1097	NUM
ejpam-3409	17	19	with	with	ADP
ejpam-3409	17	20	given	give	VERB
ejpam-3409	17	21	initial	initial	ADJ
ejpam-3409	17	22	conditions	condition	NOUN
ejpam-3409	17	23	u(x	u(x	NOUN
ejpam-3409	17	24	,	,	PUNCT
ejpam-3409	17	25	y	y	NOUN
ejpam-3409	17	26	,	,	PUNCT
ejpam-3409	17	27	0	0	NUM
ejpam-3409	17	28	)	)	PUNCT
ejpam-3409	17	29	=	=	SYM
ejpam-3409	18	1	f(x	f(x	PROPN
ejpam-3409	18	2	,	,	PUNCT
ejpam-3409	18	3	y	y	PROPN
ejpam-3409	18	4	)	)	PUNCT
ejpam-3409	18	5	the	the	DET
ejpam-3409	18	6	function	function	NOUN
ejpam-3409	18	7	u(x	u(x	VERB
ejpam-3409	18	8	,	,	PUNCT
ejpam-3409	18	9	y	y	PROPN
ejpam-3409	18	10	,	,	PUNCT
ejpam-3409	18	11	t	t	PROPN
ejpam-3409	18	12	)	)	PUNCT
ejpam-3409	18	13	denotes	denote	VERB
ejpam-3409	18	14	the	the	DET
ejpam-3409	18	15	population	population	NOUN
ejpam-3409	18	16	density	density	NOUN
ejpam-3409	18	17	(	(	PUNCT
ejpam-3409	18	18	number	number	NOUN
ejpam-3409	18	19	of	of	ADP
ejpam-3409	18	20	minimal	minimal	ADJ
ejpam-3409	18	21	species	specie	NOUN
ejpam-3409	18	22	perunit	perunit	VERB
ejpam-3409	18	23	volume	volume	NOUN
ejpam-3409	18	24	at	at	ADP
ejpam-3409	18	25	position	position	NOUN
ejpam-3409	18	26	(	(	PUNCT
ejpam-3409	18	27	x	x	NOUN
ejpam-3409	18	28	,	,	PUNCT
ejpam-3409	18	29	y	y	PROPN
ejpam-3409	18	30	)	)	PUNCT
ejpam-3409	18	31	and	and	CCONJ
ejpam-3409	18	32	time	time	NOUN
ejpam-3409	18	33	t	t	PROPN
ejpam-3409	18	34	)	)	PUNCT
ejpam-3409	18	35	,	,	PUNCT
ejpam-3409	18	36	g(u	g(u	PROPN
ejpam-3409	18	37	)	)	PUNCT
ejpam-3409	18	38	the	the	DET
ejpam-3409	18	39	population	population	NOUN
ejpam-3409	18	40	supply	supply	NOUN
ejpam-3409	18	41	due	due	ADP
ejpam-3409	18	42	to	to	ADP
ejpam-3409	18	43	birth	birth	NOUN
ejpam-3409	18	44	and	and	CCONJ
ejpam-3409	18	45	death	death	NOUN
ejpam-3409	18	46	of	of	ADP
ejpam-3409	18	47	species	specie	NOUN
ejpam-3409	18	48	.	.	PUNCT
ejpam-3409	19	1	in	in	ADP
ejpam-3409	19	2	this	this	DET
ejpam-3409	19	3	study	study	NOUN
ejpam-3409	19	4	,	,	PUNCT
ejpam-3409	19	5	a	a	DET
ejpam-3409	19	6	form	form	NOUN
ejpam-3409	19	7	of	of	ADP
ejpam-3409	19	8	g(u	g(u	PROPN
ejpam-3409	19	9	)	)	PUNCT
ejpam-3409	19	10	is	be	AUX
ejpam-3409	19	11	:	:	PUNCT
ejpam-3409	19	12	g(u	g(u	X
ejpam-3409	19	13	)	)	PUNCT
ejpam-3409	19	14	=	=	SYM
ejpam-3409	19	15	huα(x	huα(x	PROPN
ejpam-3409	19	16	,	,	PUNCT
ejpam-3409	19	17	y	y	PROPN
ejpam-3409	19	18	,	,	PUNCT
ejpam-3409	19	19	t	t	PROPN
ejpam-3409	19	20	)	)	PUNCT
ejpam-3409	19	21	(	(	PUNCT
ejpam-3409	19	22	1−	1−	NUM
ejpam-3409	19	23	ruβ(x	ruβ(x	PROPN
ejpam-3409	19	24	,	,	PUNCT
ejpam-3409	19	25	y	y	PROPN
ejpam-3409	19	26	,	,	PUNCT
ejpam-3409	19	27	t	t	PROPN
ejpam-3409	19	28	)	)	PUNCT
ejpam-3409	19	29	)	)	PUNCT
ejpam-3409	19	30	(	(	PUNCT
ejpam-3409	19	31	2	2	X
ejpam-3409	19	32	)	)	PUNCT
ejpam-3409	19	33	where	where	SCONJ
ejpam-3409	19	34	h	h	NOUN
ejpam-3409	19	35	,	,	PUNCT
ejpam-3409	19	36	α	α	PROPN
ejpam-3409	19	37	,	,	PUNCT
ejpam-3409	19	38	β	β	X
ejpam-3409	19	39	,	,	PUNCT
ejpam-3409	19	40	r	r	NOUN
ejpam-3409	19	41	are	be	AUX
ejpam-3409	19	42	real	real	ADJ
ejpam-3409	19	43	numbers	number	NOUN
ejpam-3409	19	44	.	.	PUNCT
ejpam-3409	20	1	the	the	DET
ejpam-3409	20	2	sba	sba	PROPN
ejpam-3409	20	3	method	method	NOUN
ejpam-3409	20	4	overcomes	overcome	VERB
ejpam-3409	20	5	the	the	DET
ejpam-3409	20	6	difficulty	difficulty	NOUN
ejpam-3409	20	7	arising	arise	VERB
ejpam-3409	20	8	in	in	ADP
ejpam-3409	20	9	calculating	calculate	VERB
ejpam-3409	20	10	the	the	DET
ejpam-3409	20	11	adomian	adomian	NOUN
ejpam-3409	20	12	’s	’s	PART
ejpam-3409	20	13	polynomials	polynomial	NOUN
ejpam-3409	20	14	which	which	PRON
ejpam-3409	20	15	is	be	AUX
ejpam-3409	20	16	an	an	DET
ejpam-3409	20	17	important	important	ADJ
ejpam-3409	20	18	advantage	advantage	NOUN
ejpam-3409	20	19	over	over	ADP
ejpam-3409	20	20	the	the	DET
ejpam-3409	20	21	adm	adm	PROPN
ejpam-3409	20	22	and	and	CCONJ
ejpam-3409	20	23	other	other	ADJ
ejpam-3409	20	24	numerical	numerical	ADJ
ejpam-3409	20	25	methods	method	NOUN
ejpam-3409	20	26	[	[	X
ejpam-3409	20	27	6	6	NUM
ejpam-3409	20	28	,	,	PUNCT
ejpam-3409	20	29	11	11	NUM
ejpam-3409	20	30	]	]	SYM
ejpam-3409	20	31	2	2	NUM
ejpam-3409	20	32	.	.	PUNCT
ejpam-3409	21	1	the	the	DET
ejpam-3409	21	2	numerical	numerical	PROPN
ejpam-3409	21	3	sba	sba	PROPN
ejpam-3409	21	4	method	method	PROPN
ejpam-3409	21	5	let	let	VERB
ejpam-3409	21	6	us	we	PRON
ejpam-3409	21	7	consider	consider	VERB
ejpam-3409	21	8	the	the	DET
ejpam-3409	21	9	following	follow	VERB
ejpam-3409	21	10	functional	functional	ADJ
ejpam-3409	21	11	equation	equation	NOUN
ejpam-3409	21	12	:	:	PUNCT
ejpam-3409	21	13	au	au	PROPN
ejpam-3409	21	14	=	=	SYM
ejpam-3409	21	15	f	f	PROPN
ejpam-3409	21	16	(	(	PUNCT
ejpam-3409	21	17	3	3	NUM
ejpam-3409	21	18	)	)	PUNCT
ejpam-3409	21	19	where	where	SCONJ
ejpam-3409	21	20	a	a	DET
ejpam-3409	21	21	:	:	PUNCT
ejpam-3409	21	22	h	h	NOUN
ejpam-3409	21	23	→	→	SYM
ejpam-3409	21	24	h	h	NOUN
ejpam-3409	21	25	,	,	PUNCT
ejpam-3409	21	26	is	be	AUX
ejpam-3409	21	27	an	an	DET
ejpam-3409	21	28	operator	operator	NOUN
ejpam-3409	21	29	not	not	PART
ejpam-3409	21	30	necessarily	necessarily	ADV
ejpam-3409	21	31	linear	linear	ADJ
ejpam-3409	21	32	and	and	CCONJ
ejpam-3409	21	33	h	h	NOUN
ejpam-3409	21	34	is	be	AUX
ejpam-3409	21	35	a	a	DET
ejpam-3409	21	36	hilbert	hilbert	NOUN
ejpam-3409	21	37	space	space	NOUN
ejpam-3409	21	38	adequately	adequately	ADV
ejpam-3409	21	39	chosen	choose	VERB
ejpam-3409	21	40	given	give	VERB
ejpam-3409	21	41	the	the	DET
ejpam-3409	21	42	operator	operator	NOUN
ejpam-3409	21	43	a	a	PRON
ejpam-3409	21	44	,	,	PUNCT
ejpam-3409	21	45	f	f	PROPN
ejpam-3409	21	46	is	be	AUX
ejpam-3409	21	47	given	give	VERB
ejpam-3409	21	48	function	function	NOUN
ejpam-3409	21	49	and	and	CCONJ
ejpam-3409	21	50	u	u	PRON
ejpam-3409	21	51	the	the	DET
ejpam-3409	21	52	unknown	unknown	ADJ
ejpam-3409	21	53	function	function	NOUN
ejpam-3409	21	54	.	.	PUNCT
ejpam-3409	22	1	let	let	VERB
ejpam-3409	22	2	:	:	PUNCT
ejpam-3409	22	3	a	a	DET
ejpam-3409	22	4	=	=	PUNCT
ejpam-3409	22	5	l+r+n	l+r+n	NOUN
ejpam-3409	22	6	(	(	PUNCT
ejpam-3409	22	7	4	4	NUM
ejpam-3409	22	8	)	)	PUNCT
ejpam-3409	22	9	where	where	SCONJ
ejpam-3409	22	10	l	l	NOUN
ejpam-3409	22	11	is	be	AUX
ejpam-3409	22	12	an	an	DET
ejpam-3409	22	13	invertible	invertible	ADJ
ejpam-3409	22	14	operator	operator	NOUN
ejpam-3409	22	15	in	in	ADP
ejpam-3409	22	16	the	the	DET
ejpam-3409	22	17	adomian	adomian	NOUN
ejpam-3409	22	18	”	"	PUNCT
ejpam-3409	22	19	sense	sense	NOUN
ejpam-3409	22	20	”	"	PUNCT
ejpam-3409	22	21	,	,	PUNCT
ejpam-3409	22	22	r	r	NOUN
ejpam-3409	22	23	the	the	DET
ejpam-3409	22	24	linear	linear	ADJ
ejpam-3409	22	25	remainder	remainder	NOUN
ejpam-3409	22	26	and	and	CCONJ
ejpam-3409	22	27	n	n	DET
ejpam-3409	22	28	a	a	DET
ejpam-3409	22	29	nonlinear	nonlinear	ADJ
ejpam-3409	22	30	operator	operator	NOUN
ejpam-3409	22	31	.	.	PUNCT
ejpam-3409	23	1	the	the	DET
ejpam-3409	23	2	equation	equation	NOUN
ejpam-3409	23	3	(	(	PUNCT
ejpam-3409	23	4	3	3	X
ejpam-3409	23	5	)	)	PUNCT
ejpam-3409	23	6	therefore	therefore	ADV
ejpam-3409	23	7	becomes	become	VERB
ejpam-3409	23	8	:	:	PUNCT
ejpam-3409	23	9	lu+ru+nu	lu+ru+nu	PROPN
ejpam-3409	23	10	=	=	SYM
ejpam-3409	23	11	f	f	PROPN
ejpam-3409	23	12	⇔	⇔	X
ejpam-3409	23	13	u	u	NOUN
ejpam-3409	23	14	=	=	PROPN
ejpam-3409	23	15	θ	θ	PROPN
ejpam-3409	23	16	+	+	CCONJ
ejpam-3409	23	17	l−1	l−1	PROPN
ejpam-3409	23	18	(	(	PUNCT
ejpam-3409	23	19	f)−	f)−	PROPN
ejpam-3409	23	20	l−1	l−1	PROPN
ejpam-3409	23	21	(	(	PUNCT
ejpam-3409	23	22	ru)−	ru)−	PROPN
ejpam-3409	23	23	l−1	l−1	PROPN
ejpam-3409	23	24	(	(	PUNCT
ejpam-3409	23	25	nu	nu	NOUN
ejpam-3409	23	26	)	)	PUNCT
ejpam-3409	23	27	(	(	PUNCT
ejpam-3409	23	28	5	5	NUM
ejpam-3409	23	29	)	)	PUNCT
ejpam-3409	23	30	where	where	SCONJ
ejpam-3409	23	31	θ	θ	PROPN
ejpam-3409	23	32	is	be	AUX
ejpam-3409	23	33	such	such	ADJ
ejpam-3409	23	34	that	that	SCONJ
ejpam-3409	23	35	l	l	NOUN
ejpam-3409	23	36	(	(	PUNCT
ejpam-3409	23	37	θ	θ	NOUN
ejpam-3409	23	38	)	)	PUNCT
ejpam-3409	23	39	=	=	SYM
ejpam-3409	24	1	0	0	X
ejpam-3409	24	2	.	.	PUNCT
ejpam-3409	25	1	the	the	DET
ejpam-3409	25	2	equation	equation	NOUN
ejpam-3409	25	3	(	(	PUNCT
ejpam-3409	25	4	5	5	NUM
ejpam-3409	25	5	)	)	PUNCT
ejpam-3409	25	6	is	be	AUX
ejpam-3409	25	7	the	the	DET
ejpam-3409	25	8	adomian	adomian	ADJ
ejpam-3409	25	9	canonical	canonical	ADJ
ejpam-3409	25	10	form	form	NOUN
ejpam-3409	25	11	,	,	PUNCT
ejpam-3409	25	12	using	use	VERB
ejpam-3409	25	13	the	the	DET
ejpam-3409	25	14	successive	successive	ADJ
ejpam-3409	25	15	approximations	approximation	NOUN
ejpam-3409	25	16	[	[	X
ejpam-3409	25	17	10]we	10]we	NUM
ejpam-3409	25	18	get	get	VERB
ejpam-3409	25	19	:	:	PUNCT
ejpam-3409	25	20	uk	uk	PROPN
ejpam-3409	25	21	=	=	SYM
ejpam-3409	25	22	θ	θ	PROPN
ejpam-3409	26	1	+	+	PUNCT
ejpam-3409	27	1	l−1	l−1	PROPN
ejpam-3409	27	2	(	(	PUNCT
ejpam-3409	27	3	f)−	f)−	PROPN
ejpam-3409	27	4	l−1	l−1	PROPN
ejpam-3409	27	5	(	(	PUNCT
ejpam-3409	27	6	ruk	ruk	NOUN
ejpam-3409	27	7	)	)	PUNCT
ejpam-3409	27	8	−	−	PROPN
ejpam-3409	28	1	l−1	l−1	PROPN
ejpam-3409	28	2	(	(	PUNCT
ejpam-3409	28	3	nuk−1	nuk−1	PROPN
ejpam-3409	28	4	)	)	PUNCT
ejpam-3409	28	5	;	;	PUNCT
ejpam-3409	28	6	k	k	X
ejpam-3409	28	7	≥	≥	NUM
ejpam-3409	28	8	1	1	NUM
ejpam-3409	28	9	(	(	PUNCT
ejpam-3409	28	10	6	6	NUM
ejpam-3409	28	11	)	)	PUNCT
ejpam-3409	28	12	this	this	PRON
ejpam-3409	28	13	yields	yield	VERB
ejpam-3409	28	14	the	the	DET
ejpam-3409	28	15	following	follow	VERB
ejpam-3409	28	16	adomian	adomian	NOUN
ejpam-3409	28	17	algorithm	algorithm	NOUN
ejpam-3409	29	1	[	[	X
ejpam-3409	29	2	4	4	NUM
ejpam-3409	29	3	,	,	PUNCT
ejpam-3409	29	4	7	7	NUM
ejpam-3409	29	5	,	,	PUNCT
ejpam-3409	29	6	14	14	NUM
ejpam-3409	29	7	,	,	PUNCT
ejpam-3409	29	8	15	15	NUM
ejpam-3409	29	9	]	]	SYM
ejpam-3409	29	10	{	{	PUNCT
ejpam-3409	29	11	uk0	uk0	ADJ
ejpam-3409	29	12	=	=	SYM
ejpam-3409	29	13	θ	θ	NOUN
ejpam-3409	29	14	+	+	CCONJ
ejpam-3409	29	15	l−1	l−1	PROPN
ejpam-3409	29	16	(	(	PUNCT
ejpam-3409	29	17	f)−	f)−	PROPN
ejpam-3409	29	18	l−1	l−1	PROPN
ejpam-3409	29	19	(	(	PUNCT
ejpam-3409	29	20	nuk−1	nuk−1	PROPN
ejpam-3409	29	21	)	)	PUNCT
ejpam-3409	29	22	;	;	PUNCT
ejpam-3409	29	23	k	k	X
ejpam-3409	29	24	≥	≥	NUM
ejpam-3409	29	25	1	1	NUM
ejpam-3409	29	26	ukn+1	ukn+1	NOUN
ejpam-3409	29	27	=	=	PUNCT
ejpam-3409	29	28	−l−1	−l−1	NUM
ejpam-3409	29	29	(	(	PUNCT
ejpam-3409	29	30	rukn	rukn	PROPN
ejpam-3409	29	31	)	)	PUNCT
ejpam-3409	29	32	;	;	PUNCT
ejpam-3409	29	33	n	n	X
ejpam-3409	29	34	≥	≥	NOUN
ejpam-3409	29	35	0	0	NUM
ejpam-3409	29	36	(	(	PUNCT
ejpam-3409	29	37	7	7	X
ejpam-3409	29	38	)	)	PUNCT
ejpam-3409	29	39	the	the	DET
ejpam-3409	29	40	picard	picard	PROPN
ejpam-3409	29	41	principle	principle	NOUN
ejpam-3409	29	42	is	be	AUX
ejpam-3409	29	43	then	then	ADV
ejpam-3409	29	44	applied	apply	VERB
ejpam-3409	29	45	to	to	ADP
ejpam-3409	29	46	the	the	DET
ejpam-3409	29	47	equation	equation	NOUN
ejpam-3409	29	48	(	(	PUNCT
ejpam-3409	29	49	7	7	X
ejpam-3409	29	50	)	)	PUNCT
ejpam-3409	29	51	let	let	AUX
ejpam-3409	29	52	u0	u0	ADJ
ejpam-3409	29	53	be	be	AUX
ejpam-3409	29	54	such	such	ADJ
ejpam-3409	29	55	that	that	SCONJ
ejpam-3409	29	56	n	n	PROPN
ejpam-3409	29	57	(	(	PUNCT
ejpam-3409	29	58	u0	u0	ADJ
ejpam-3409	29	59	)	)	PUNCT
ejpam-3409	29	60	=	=	SYM
ejpam-3409	29	61	0	0	NUM
ejpam-3409	29	62	,	,	PUNCT
ejpam-3409	29	63	for	for	ADP
ejpam-3409	29	64	k	k	PROPN
ejpam-3409	29	65	=	=	SYM
ejpam-3409	29	66	1	1	NUM
ejpam-3409	29	67	,	,	PUNCT
ejpam-3409	29	68	we	we	PRON
ejpam-3409	29	69	get	get	VERB
ejpam-3409	29	70	:	:	PUNCT
ejpam-3409	29	71	{	{	PUNCT
ejpam-3409	30	1	u10	u10	PROPN
ejpam-3409	30	2	=	=	SYM
ejpam-3409	30	3	θ	θ	PROPN
ejpam-3409	30	4	+	+	PUNCT
ejpam-3409	31	1	l−1	l−1	PROPN
ejpam-3409	31	2	(	(	PUNCT
ejpam-3409	31	3	f	f	X
ejpam-3409	31	4	)	)	PUNCT
ejpam-3409	31	5	+	+	CCONJ
ejpam-3409	32	1	l−1	l−1	PROPN
ejpam-3409	32	2	(	(	PUNCT
ejpam-3409	32	3	nu0	nu0	NOUN
ejpam-3409	32	4	)	)	PUNCT
ejpam-3409	32	5	u1n+1	u1n+1	PROPN
ejpam-3409	32	6	=	=	NOUN
ejpam-3409	32	7	−l−1	−l−1	NUM
ejpam-3409	32	8	(	(	PUNCT
ejpam-3409	32	9	ru1n	ru1n	NOUN
ejpam-3409	32	10	)	)	PUNCT
ejpam-3409	32	11	;	;	PUNCT
ejpam-3409	32	12	n	n	X
ejpam-3409	32	13	≥	≥	NOUN
ejpam-3409	32	14	0	0	NUM
ejpam-3409	32	15	(	(	PUNCT
ejpam-3409	32	16	8)	8)	NUM
ejpam-3409	32	17	y.	y.	NOUN
ejpam-3409	32	18	paré	paré	NOUN
ejpam-3409	32	19	et	et	PROPN
ejpam-3409	32	20	al	al	PROPN
ejpam-3409	32	21	.	.	PUNCT
ejpam-3409	32	22	/	/	SYM
ejpam-3409	32	23	eur	eur	PROPN
ejpam-3409	32	24	.	.	PUNCT
ejpam-3409	33	1	j.	j.	PROPN
ejpam-3409	33	2	pure	pure	PROPN
ejpam-3409	33	3	appl	appl	PROPN
ejpam-3409	33	4	.	.	PROPN
ejpam-3409	33	5	math	math	PROPN
ejpam-3409	33	6	,	,	PUNCT
ejpam-3409	33	7	12	12	NUM
ejpam-3409	33	8	(	(	PUNCT
ejpam-3409	33	9	3	3	NUM
ejpam-3409	33	10	)	)	PUNCT
ejpam-3409	33	11	(	(	PUNCT
ejpam-3409	33	12	2019	2019	NUM
ejpam-3409	33	13	)	)	PUNCT
ejpam-3409	33	14	,	,	PUNCT
ejpam-3409	33	15	1096	1096	NUM
ejpam-3409	33	16	-	-	SYM
ejpam-3409	33	17	1105	1105	NUM
ejpam-3409	33	18	1098	1098	NUM
ejpam-3409	33	19	if	if	SCONJ
ejpam-3409	33	20	the	the	DET
ejpam-3409	33	21	series	series	NOUN
ejpam-3409	33	22	(	(	PUNCT
ejpam-3409	33	23	+	+	ADP
ejpam-3409	33	24	∞∑	∞∑	NUM
ejpam-3409	33	25	n=0	n=0	NUM
ejpam-3409	33	26	u1n	u1n	NOUN
ejpam-3409	33	27	)	)	PUNCT
ejpam-3409	33	28	converges	converge	NOUN
ejpam-3409	33	29	,	,	PUNCT
ejpam-3409	33	30	then	then	ADV
ejpam-3409	33	31	u1	u1	NOUN
ejpam-3409	33	32	=	=	PUNCT
ejpam-3409	34	1	+	+	ADP
ejpam-3409	34	2	∞∑	∞∑	PRON
ejpam-3409	34	3	n=0	n=0	NUM
ejpam-3409	34	4	u1n	u1n	NOUN
ejpam-3409	34	5	.	.	PUNCT
ejpam-3409	35	1	for	for	ADP
ejpam-3409	35	2	k	k	PROPN
ejpam-3409	35	3	=	=	SYM
ejpam-3409	35	4	2	2	NUM
ejpam-3409	35	5	,	,	PUNCT
ejpam-3409	35	6	we	we	PRON
ejpam-3409	35	7	get	get	VERB
ejpam-3409	35	8	:	:	PUNCT
ejpam-3409	35	9	{	{	PUNCT
ejpam-3409	35	10	u20	u20	PROPN
ejpam-3409	35	11	=	=	SYM
ejpam-3409	35	12	θ	θ	PROPN
ejpam-3409	35	13	+	+	PUNCT
ejpam-3409	36	1	l−1	l−1	PROPN
ejpam-3409	36	2	(	(	PUNCT
ejpam-3409	36	3	f	f	X
ejpam-3409	36	4	)	)	PUNCT
ejpam-3409	36	5	+	+	CCONJ
ejpam-3409	37	1	l−1	l−1	PROPN
ejpam-3409	37	2	(	(	PUNCT
ejpam-3409	37	3	nu1	nu1	PROPN
ejpam-3409	37	4	)	)	PUNCT
ejpam-3409	37	5	u2n+1	u2n+1	PROPN
ejpam-3409	38	1	=	=	SYM
ejpam-3409	38	2	l−1	l−1	PROPN
ejpam-3409	38	3	(	(	PUNCT
ejpam-3409	38	4	ru2n	ru2n	PROPN
ejpam-3409	38	5	)	)	PUNCT
ejpam-3409	38	6	;	;	PUNCT
ejpam-3409	38	7	n	n	X
ejpam-3409	38	8	≥	≥	NOUN
ejpam-3409	38	9	0	0	NUM
ejpam-3409	38	10	(	(	PUNCT
ejpam-3409	38	11	9	9	NUM
ejpam-3409	38	12	)	)	PUNCT
ejpam-3409	38	13	if	if	SCONJ
ejpam-3409	38	14	the	the	DET
ejpam-3409	38	15	series	series	NOUN
ejpam-3409	38	16	(	(	PUNCT
ejpam-3409	38	17	+	+	ADP
ejpam-3409	38	18	∞∑	∞∑	PROPN
ejpam-3409	38	19	n=0	n=0	NUM
ejpam-3409	38	20	u2n	u2n	NOUN
ejpam-3409	38	21	)	)	PUNCT
ejpam-3409	38	22	converges	converge	VERB
ejpam-3409	38	23	,	,	PUNCT
ejpam-3409	38	24	then	then	ADV
ejpam-3409	38	25	u2	u2	PROPN
ejpam-3409	38	26	=	=	PROPN
ejpam-3409	38	27	+	+	PROPN
ejpam-3409	38	28	∞∑	∞∑	PROPN
ejpam-3409	38	29	n=0	n=0	NUM
ejpam-3409	38	30	u2n	u2n	NOUN
ejpam-3409	38	31	.	.	PUNCT
ejpam-3409	39	1	this	this	DET
ejpam-3409	39	2	process	process	NOUN
ejpam-3409	39	3	is	be	AUX
ejpam-3409	39	4	repeated	repeat	VERB
ejpam-3409	39	5	to	to	ADP
ejpam-3409	39	6	k.	k.	PROPN
ejpam-3409	39	7	if	if	SCONJ
ejpam-3409	39	8	the	the	DET
ejpam-3409	39	9	series	series	NOUN
ejpam-3409	39	10	(	(	PUNCT
ejpam-3409	39	11	+	+	ADP
ejpam-3409	39	12	∞∑	∞∑	ADJ
ejpam-3409	39	13	n=0	n=0	ADJ
ejpam-3409	39	14	ukn	ukn	NOUN
ejpam-3409	39	15	)	)	PUNCT
ejpam-3409	39	16	converges	converge	VERB
ejpam-3409	39	17	,	,	PUNCT
ejpam-3409	39	18	then	then	ADV
ejpam-3409	39	19	uk	uk	PROPN
ejpam-3409	39	20	=	=	PUNCT
ejpam-3409	40	1	+	+	PROPN
ejpam-3409	40	2	∞∑	∞∑	ADJ
ejpam-3409	40	3	n=0	n=0	NUM
ejpam-3409	40	4	ukn	ukn	NOUN
ejpam-3409	40	5	,	,	PUNCT
ejpam-3409	40	6	therefore	therefore	ADV
ejpam-3409	40	7	uk	uk	PROPN
ejpam-3409	40	8	=	=	PROPN
ejpam-3409	40	9	lim	lim	PROPN
ejpam-3409	40	10	k→+∞	k→+∞	PROPN
ejpam-3409	40	11	uk	uk	PROPN
ejpam-3409	40	12	is	be	AUX
ejpam-3409	40	13	the	the	DET
ejpam-3409	40	14	solution	solution	NOUN
ejpam-3409	40	15	of	of	ADP
ejpam-3409	40	16	the	the	DET
ejpam-3409	40	17	problem	problem	NOUN
ejpam-3409	40	18	.	.	PUNCT
ejpam-3409	41	1	with	with	ADP
ejpam-3409	41	2	the	the	DET
ejpam-3409	41	3	following	follow	VERB
ejpam-3409	41	4	hypothesize	hypothesize	NOUN
ejpam-3409	41	5	:	:	PUNCT
ejpam-3409	41	6	at	at	ADP
ejpam-3409	41	7	the	the	DET
ejpam-3409	41	8	step	step	NOUN
ejpam-3409	41	9	k	k	PROPN
ejpam-3409	41	10	,	,	PUNCT
ejpam-3409	41	11	n(uk	n(uk	PROPN
ejpam-3409	41	12	)	)	PUNCT
ejpam-3409	41	13	=	=	SYM
ejpam-3409	41	14	0	0	NUM
ejpam-3409	41	15	,	,	PUNCT
ejpam-3409	41	16	∀k	∀k	NOUN
ejpam-3409	41	17	≥	≥	NUM
ejpam-3409	41	18	1	1	NUM
ejpam-3409	41	19	.	.	NUM
ejpam-3409	41	20	2.1	2.1	NUM
ejpam-3409	41	21	.	.	PUNCT
ejpam-3409	42	1	test	test	NOUN
ejpam-3409	42	2	examples	example	NOUN
ejpam-3409	42	3	in	in	ADP
ejpam-3409	42	4	this	this	DET
ejpam-3409	42	5	section	section	NOUN
ejpam-3409	42	6	,	,	PUNCT
ejpam-3409	42	7	we	we	PRON
ejpam-3409	42	8	present	present	VERB
ejpam-3409	42	9	some	some	DET
ejpam-3409	42	10	examples	example	NOUN
ejpam-3409	42	11	with	with	ADP
ejpam-3409	42	12	analytical	analytical	ADJ
ejpam-3409	42	13	solution	solution	NOUN
ejpam-3409	42	14	to	to	PART
ejpam-3409	42	15	show	show	VERB
ejpam-3409	42	16	the	the	DET
ejpam-3409	42	17	efficiency	efficiency	NOUN
ejpam-3409	42	18	of	of	ADP
ejpam-3409	42	19	method	method	NOUN
ejpam-3409	42	20	described	describe	VERB
ejpam-3409	42	21	in	in	ADP
ejpam-3409	42	22	previous	previous	ADJ
ejpam-3409	42	23	section	section	NOUN
ejpam-3409	42	24	for	for	ADP
ejpam-3409	42	25	solving	solve	VERB
ejpam-3409	42	26	equation	equation	NOUN
ejpam-3409	42	27	(	(	PUNCT
ejpam-3409	42	28	1	1	NUM
ejpam-3409	42	29	)	)	PUNCT
ejpam-3409	42	30	2.2	2.2	NUM
ejpam-3409	42	31	.	.	PUNCT
ejpam-3409	42	32	example	example	NOUN
ejpam-3409	42	33	1	1	NUM
ejpam-3409	42	34	consider	consider	VERB
ejpam-3409	42	35	equation	equation	NOUN
ejpam-3409	42	36	(	(	PUNCT
ejpam-3409	42	37	1	1	NUM
ejpam-3409	42	38	)	)	PUNCT
ejpam-3409	42	39	with	with	ADP
ejpam-3409	42	40	α	α	NOUN
ejpam-3409	42	41	=	=	SYM
ejpam-3409	42	42	β	β	X
ejpam-3409	42	43	=	=	SYM
ejpam-3409	42	44	1	1	NUM
ejpam-3409	42	45	,	,	PUNCT
ejpam-3409	42	46	r	r	NOUN
ejpam-3409	42	47	6=	6=	PROPN
ejpam-3409	42	48	0	0	NUM
ejpam-3409	42	49	,	,	PUNCT
ejpam-3409	42	50	h	h	NOUN
ejpam-3409	42	51	6=	6=	ADP
ejpam-3409	42	52	0	0	NUM
ejpam-3409	42	53	and	and	CCONJ
ejpam-3409	42	54	f(x	f(x	PROPN
ejpam-3409	42	55	,	,	PUNCT
ejpam-3409	42	56	y	y	NOUN
ejpam-3409	42	57	)	)	PUNCT
ejpam-3409	42	58	=	=	NOUN
ejpam-3409	42	59	exp	exp	NOUN
ejpam-3409	42	60	(	(	PUNCT
ejpam-3409	42	61	1	1	NUM
ejpam-3409	42	62	2	2	NUM
ejpam-3409	42	63	√	√	PROPN
ejpam-3409	42	64	hr	hr	NOUN
ejpam-3409	42	65	2	2	NUM
ejpam-3409	42	66	(	(	PUNCT
ejpam-3409	42	67	x+	x+	PROPN
ejpam-3409	42	68	y	y	NOUN
ejpam-3409	42	69	)	)	PUNCT
ejpam-3409	42	70	)	)	PUNCT
ejpam-3409	42	71	putting	put	VERB
ejpam-3409	42	72	these	these	DET
ejpam-3409	42	73	values	value	NOUN
ejpam-3409	42	74	in	in	ADP
ejpam-3409	42	75	this	this	DET
ejpam-3409	42	76	equation	equation	NOUN
ejpam-3409	42	77	,	,	PUNCT
ejpam-3409	42	78	we	we	PRON
ejpam-3409	42	79	write	write	VERB
ejpam-3409	42	80	:	:	PUNCT
ejpam-3409	42	81			PUNCT
ejpam-3409	42	82	∂u(x	∂u(x	PROPN
ejpam-3409	42	83	,	,	PUNCT
ejpam-3409	42	84	y	y	PROPN
ejpam-3409	42	85	,	,	PUNCT
ejpam-3409	42	86	t	t	PROPN
ejpam-3409	42	87	)	)	PUNCT
ejpam-3409	42	88	∂t	∂t	PROPN
ejpam-3409	42	89	=	=	SYM
ejpam-3409	42	90	∆u2(x	∆u2(x	PROPN
ejpam-3409	42	91	,	,	PUNCT
ejpam-3409	42	92	y	y	PROPN
ejpam-3409	42	93	,	,	PUNCT
ejpam-3409	42	94	t	t	PROPN
ejpam-3409	42	95	)	)	PUNCT
ejpam-3409	43	1	+	+	NUM
ejpam-3409	43	2	hu(x	hu(x	NOUN
ejpam-3409	43	3	,	,	PUNCT
ejpam-3409	43	4	y	y	PROPN
ejpam-3409	43	5	,	,	PUNCT
ejpam-3409	43	6	t	t	PROPN
ejpam-3409	43	7	)	)	PUNCT
ejpam-3409	43	8	(	(	PUNCT
ejpam-3409	43	9	1−	1−	NUM
ejpam-3409	43	10	ru(x	ru(x	NOUN
ejpam-3409	43	11	,	,	PUNCT
ejpam-3409	43	12	y	y	PROPN
ejpam-3409	43	13	,	,	PUNCT
ejpam-3409	43	14	t	t	PROPN
ejpam-3409	43	15	)	)	PUNCT
ejpam-3409	43	16	)	)	PUNCT
ejpam-3409	43	17	,	,	PUNCT
ejpam-3409	43	18	(	(	PUNCT
ejpam-3409	43	19	x	x	X
ejpam-3409	43	20	,	,	PUNCT
ejpam-3409	43	21	y	y	NOUN
ejpam-3409	43	22	)	)	PUNCT
ejpam-3409	43	23	∈	∈	PROPN
ejpam-3409	43	24	r2	r2	NOUN
ejpam-3409	43	25	,	,	PUNCT
ejpam-3409	43	26	t	t	PROPN
ejpam-3409	43	27	>	>	X
ejpam-3409	43	28	0	0	NUM
ejpam-3409	44	1	u(x	u(x	PROPN
ejpam-3409	44	2	,	,	PUNCT
ejpam-3409	44	3	y	y	NOUN
ejpam-3409	44	4	,	,	PUNCT
ejpam-3409	44	5	0	0	NUM
ejpam-3409	44	6	)	)	PUNCT
ejpam-3409	44	7	=	=	NOUN
ejpam-3409	44	8	exp	exp	NOUN
ejpam-3409	44	9	(	(	PUNCT
ejpam-3409	44	10	1	1	NUM
ejpam-3409	44	11	2	2	NUM
ejpam-3409	44	12	√	√	PROPN
ejpam-3409	44	13	hr	hr	NOUN
ejpam-3409	44	14	2	2	NUM
ejpam-3409	44	15	(	(	PUNCT
ejpam-3409	44	16	x+	x+	PROPN
ejpam-3409	44	17	y	y	NOUN
ejpam-3409	44	18	)	)	PUNCT
ejpam-3409	44	19	)	)	PUNCT
ejpam-3409	44	20	(	(	PUNCT
ejpam-3409	44	21	10	10	X
ejpam-3409	44	22	)	)	PUNCT
ejpam-3409	44	23	∂u(x	∂u(x	PROPN
ejpam-3409	44	24	,	,	PUNCT
ejpam-3409	44	25	y	y	PROPN
ejpam-3409	44	26	,	,	PUNCT
ejpam-3409	44	27	t	t	PROPN
ejpam-3409	44	28	)	)	PUNCT
ejpam-3409	45	1	∂t	∂t	PROPN
ejpam-3409	45	2	=	=	SYM
ejpam-3409	45	3	hu(x	hu(x	PROPN
ejpam-3409	45	4	,	,	PUNCT
ejpam-3409	45	5	y	y	PROPN
ejpam-3409	45	6	,	,	PUNCT
ejpam-3409	45	7	t	t	PROPN
ejpam-3409	45	8	)	)	PUNCT
ejpam-3409	45	9	+	+	CCONJ
ejpam-3409	45	10	∆u2(x	∆u2(x	PROPN
ejpam-3409	45	11	,	,	PUNCT
ejpam-3409	45	12	y	y	PROPN
ejpam-3409	45	13	,	,	PUNCT
ejpam-3409	45	14	t)−	t)−	PROPN
ejpam-3409	45	15	rhu2(x	rhu2(x	NUM
ejpam-3409	45	16	,	,	PUNCT
ejpam-3409	45	17	y	y	PROPN
ejpam-3409	45	18	,	,	PUNCT
ejpam-3409	45	19	t	t	PROPN
ejpam-3409	45	20	)	)	PUNCT
ejpam-3409	45	21	(	(	PUNCT
ejpam-3409	45	22	11	11	NUM
ejpam-3409	45	23	)	)	PUNCT
ejpam-3409	45	24	let	let	VERB
ejpam-3409	45	25			NUM
ejpam-3409	45	26	lt(u(x	lt(u(x	PROPN
ejpam-3409	45	27	,	,	PUNCT
ejpam-3409	45	28	y	y	PROPN
ejpam-3409	45	29	,	,	PUNCT
ejpam-3409	45	30	t	t	PROPN
ejpam-3409	45	31	)	)	PUNCT
ejpam-3409	45	32	)	)	PUNCT
ejpam-3409	46	1	=	=	SYM
ejpam-3409	46	2	∂	∂	NUM
ejpam-3409	47	1	∂t	∂t	PROPN
ejpam-3409	47	2	(	(	PUNCT
ejpam-3409	47	3	.	.	PUNCT
ejpam-3409	47	4	)	)	PUNCT
ejpam-3409	48	1	l−1	l−1	PROPN
ejpam-3409	48	2	t	t	NOUN
ejpam-3409	48	3	=	=	SYM
ejpam-3409	48	4	∫	∫	PROPN
ejpam-3409	48	5	t	t	PROPN
ejpam-3409	48	6	0	0	NUM
ejpam-3409	48	7	(	(	PUNCT
ejpam-3409	48	8	.	.	PUNCT
ejpam-3409	48	9	)	)	PUNCT
ejpam-3409	49	1	ds	ds	ADJ
ejpam-3409	49	2	r(u(x	r(u(x	NOUN
ejpam-3409	49	3	,	,	PUNCT
ejpam-3409	49	4	y	y	PROPN
ejpam-3409	49	5	,	,	PUNCT
ejpam-3409	49	6	t	t	PROPN
ejpam-3409	49	7	)	)	PUNCT
ejpam-3409	49	8	)	)	PUNCT
ejpam-3409	50	1	=	=	SYM
ejpam-3409	50	2	hu(x	hu(x	NOUN
ejpam-3409	50	3	,	,	PUNCT
ejpam-3409	50	4	y	y	PROPN
ejpam-3409	50	5	,	,	PUNCT
ejpam-3409	50	6	t	t	PROPN
ejpam-3409	50	7	)	)	PUNCT
ejpam-3409	50	8	n(u(x	n(u(x	NOUN
ejpam-3409	50	9	,	,	PUNCT
ejpam-3409	50	10	y	y	PROPN
ejpam-3409	50	11	,	,	PUNCT
ejpam-3409	50	12	t	t	PROPN
ejpam-3409	50	13	)	)	PUNCT
ejpam-3409	50	14	)	)	PUNCT
ejpam-3409	51	1	=	=	PUNCT
ejpam-3409	51	2	∂2u2(x	∂2u2(x	NOUN
ejpam-3409	51	3	,	,	PUNCT
ejpam-3409	51	4	y	y	PROPN
ejpam-3409	51	5	,	,	PUNCT
ejpam-3409	51	6	t	t	PROPN
ejpam-3409	51	7	)	)	PUNCT
ejpam-3409	51	8	∂x2	∂x2	NOUN
ejpam-3409	51	9	+	+	CCONJ
ejpam-3409	51	10	∂2u2(x	∂2u2(x	NOUN
ejpam-3409	51	11	,	,	PUNCT
ejpam-3409	51	12	y	y	PROPN
ejpam-3409	51	13	,	,	PUNCT
ejpam-3409	51	14	t	t	PROPN
ejpam-3409	51	15	)	)	PUNCT
ejpam-3409	51	16	∂y2	∂y2	ADJ
ejpam-3409	51	17	−	−	NOUN
ejpam-3409	51	18	rhu2(x	rhu2(x	NUM
ejpam-3409	51	19	,	,	PUNCT
ejpam-3409	51	20	y	y	PROPN
ejpam-3409	51	21	,	,	PUNCT
ejpam-3409	51	22	t	t	PROPN
ejpam-3409	51	23	)	)	PUNCT
ejpam-3409	51	24	(	(	PUNCT
ejpam-3409	51	25	12	12	NUM
ejpam-3409	51	26	)	)	PUNCT
ejpam-3409	51	27	we	we	PRON
ejpam-3409	51	28	obtain	obtain	VERB
ejpam-3409	51	29	:	:	PUNCT
ejpam-3409	51	30	l(u(x	l(u(x	PROPN
ejpam-3409	51	31	,	,	PUNCT
ejpam-3409	51	32	y	y	PROPN
ejpam-3409	51	33	,	,	PUNCT
ejpam-3409	51	34	t	t	PROPN
ejpam-3409	51	35	)	)	PUNCT
ejpam-3409	51	36	)	)	PUNCT
ejpam-3409	52	1	=	=	VERB
ejpam-3409	52	2	r(u(x	r(u(x	VERB
ejpam-3409	52	3	,	,	PUNCT
ejpam-3409	52	4	y	y	PROPN
ejpam-3409	52	5	,	,	PUNCT
ejpam-3409	52	6	t	t	PROPN
ejpam-3409	52	7	)	)	PUNCT
ejpam-3409	52	8	)	)	PUNCT
ejpam-3409	53	1	+	+	CCONJ
ejpam-3409	53	2	n(u(x	n(u(x	NOUN
ejpam-3409	53	3	,	,	PUNCT
ejpam-3409	53	4	y	y	PROPN
ejpam-3409	53	5	,	,	PUNCT
ejpam-3409	53	6	t	t	PROPN
ejpam-3409	53	7	)	)	PUNCT
ejpam-3409	53	8	(	(	PUNCT
ejpam-3409	53	9	13	13	X
ejpam-3409	53	10	)	)	PUNCT
ejpam-3409	53	11	integrating	integrate	VERB
ejpam-3409	53	12	the	the	DET
ejpam-3409	53	13	equation	equation	NOUN
ejpam-3409	53	14	(	(	PUNCT
ejpam-3409	53	15	13	13	NUM
ejpam-3409	53	16	)	)	PUNCT
ejpam-3409	53	17	with	with	ADP
ejpam-3409	53	18	respect	respect	NOUN
ejpam-3409	53	19	to	to	ADP
ejpam-3409	53	20	t	t	PROPN
ejpam-3409	53	21	gives	give	VERB
ejpam-3409	53	22	the	the	DET
ejpam-3409	53	23	following	follow	VERB
ejpam-3409	53	24	canonical	canonical	ADJ
ejpam-3409	53	25	form	form	NOUN
ejpam-3409	53	26	:	:	PUNCT
ejpam-3409	53	27	y.	y.	NOUN
ejpam-3409	53	28	paré	paré	PROPN
ejpam-3409	53	29	et	et	PROPN
ejpam-3409	53	30	al	al	PROPN
ejpam-3409	53	31	.	.	PUNCT
ejpam-3409	53	32	/	/	SYM
ejpam-3409	53	33	eur	eur	PROPN
ejpam-3409	53	34	.	.	PUNCT
ejpam-3409	54	1	j.	j.	PROPN
ejpam-3409	54	2	pure	pure	PROPN
ejpam-3409	54	3	appl	appl	PROPN
ejpam-3409	54	4	.	.	PROPN
ejpam-3409	54	5	math	math	PROPN
ejpam-3409	54	6	,	,	PUNCT
ejpam-3409	54	7	12	12	NUM
ejpam-3409	54	8	(	(	PUNCT
ejpam-3409	54	9	3	3	NUM
ejpam-3409	54	10	)	)	PUNCT
ejpam-3409	54	11	(	(	PUNCT
ejpam-3409	54	12	2019	2019	NUM
ejpam-3409	54	13	)	)	PUNCT
ejpam-3409	54	14	,	,	PUNCT
ejpam-3409	54	15	1096	1096	NUM
ejpam-3409	54	16	-	-	SYM
ejpam-3409	54	17	1105	1105	NUM
ejpam-3409	54	18	1099	1099	NUM
ejpam-3409	54	19	u(x	u(x	PROPN
ejpam-3409	54	20	,	,	PUNCT
ejpam-3409	54	21	y	y	PROPN
ejpam-3409	54	22	,	,	PUNCT
ejpam-3409	54	23	t	t	PROPN
ejpam-3409	54	24	)	)	PUNCT
ejpam-3409	54	25	=	=	NOUN
ejpam-3409	54	26	exp	exp	NOUN
ejpam-3409	54	27	(	(	PUNCT
ejpam-3409	54	28	1	1	NUM
ejpam-3409	54	29	2	2	NUM
ejpam-3409	54	30	√	√	PROPN
ejpam-3409	54	31	hr	hr	NOUN
ejpam-3409	54	32	2	2	NUM
ejpam-3409	54	33	(	(	PUNCT
ejpam-3409	54	34	x+	x+	PROPN
ejpam-3409	54	35	y	y	NOUN
ejpam-3409	54	36	)	)	PUNCT
ejpam-3409	54	37	)	)	PUNCT
ejpam-3409	55	1	+	+	CCONJ
ejpam-3409	55	2	∫	∫	PROPN
ejpam-3409	55	3	t	t	NOUN
ejpam-3409	55	4	0	0	NUM
ejpam-3409	55	5	r(u(x	r(u(x	VERB
ejpam-3409	55	6	,	,	PUNCT
ejpam-3409	55	7	y	y	PROPN
ejpam-3409	55	8	,	,	PUNCT
ejpam-3409	55	9	s))ds+	s))ds+	PROPN
ejpam-3409	55	10	∫	∫	PROPN
ejpam-3409	55	11	t	t	PROPN
ejpam-3409	55	12	0	0	NUM
ejpam-3409	56	1	n(u(x	n(u(x	NOUN
ejpam-3409	56	2	,	,	PUNCT
ejpam-3409	56	3	y	y	NOUN
ejpam-3409	56	4	,	,	PUNCT
ejpam-3409	56	5	s)ds	s)ds	PROPN
ejpam-3409	56	6	(	(	PUNCT
ejpam-3409	56	7	14	14	NUM
ejpam-3409	56	8	)	)	PUNCT
ejpam-3409	56	9	in	in	ADP
ejpam-3409	56	10	applying	apply	VERB
ejpam-3409	56	11	the	the	DET
ejpam-3409	56	12	method	method	NOUN
ejpam-3409	56	13	of	of	ADP
ejpam-3409	56	14	successive	successive	ADJ
ejpam-3409	56	15	approximations	approximation	NOUN
ejpam-3409	56	16	to	to	ADP
ejpam-3409	56	17	equation	equation	NOUN
ejpam-3409	56	18	(	(	PUNCT
ejpam-3409	56	19	14	14	NUM
ejpam-3409	56	20	)	)	PUNCT
ejpam-3409	56	21	we	we	PRON
ejpam-3409	56	22	obtain	obtain	VERB
ejpam-3409	56	23	:	:	PUNCT
ejpam-3409	56	24	uk(x	uk(x	ADP
ejpam-3409	56	25	,	,	PUNCT
ejpam-3409	56	26	y	y	PROPN
ejpam-3409	56	27	,	,	PUNCT
ejpam-3409	56	28	t	t	PROPN
ejpam-3409	56	29	)	)	PUNCT
ejpam-3409	56	30	=	=	NOUN
ejpam-3409	56	31	exp	exp	NOUN
ejpam-3409	56	32	(	(	PUNCT
ejpam-3409	56	33	1	1	NUM
ejpam-3409	56	34	2	2	NUM
ejpam-3409	56	35	√	√	PROPN
ejpam-3409	56	36	hr	hr	NOUN
ejpam-3409	56	37	2	2	NUM
ejpam-3409	56	38	(	(	PUNCT
ejpam-3409	56	39	x+	x+	PROPN
ejpam-3409	56	40	y	y	NOUN
ejpam-3409	56	41	)	)	PUNCT
ejpam-3409	56	42	)	)	PUNCT
ejpam-3409	57	1	+	+	CCONJ
ejpam-3409	57	2	∫	∫	PROPN
ejpam-3409	57	3	t	t	PROPN
ejpam-3409	57	4	0	0	NUM
ejpam-3409	57	5	r(uk(x	r(uk(x	PROPN
ejpam-3409	57	6	,	,	PUNCT
ejpam-3409	57	7	y	y	PROPN
ejpam-3409	57	8	,	,	PUNCT
ejpam-3409	57	9	s))ds+	s))ds+	PROPN
ejpam-3409	57	10	∫	∫	PROPN
ejpam-3409	57	11	t	t	PROPN
ejpam-3409	57	12	0	0	X
ejpam-3409	58	1	n(uk−1(x	n(uk−1(x	PROPN
ejpam-3409	58	2	,	,	PUNCT
ejpam-3409	58	3	y	y	PROPN
ejpam-3409	58	4	,	,	PUNCT
ejpam-3409	58	5	s)ds	s)ds	PROPN
ejpam-3409	58	6	(	(	PUNCT
ejpam-3409	58	7	15	15	NUM
ejpam-3409	58	8	)	)	PUNCT
ejpam-3409	58	9	if	if	SCONJ
ejpam-3409	58	10	now	now	ADV
ejpam-3409	58	11	we	we	PRON
ejpam-3409	58	12	apply	apply	VERB
ejpam-3409	58	13	the	the	DET
ejpam-3409	58	14	adomian	adomian	NOUN
ejpam-3409	58	15	algorithm	algorithm	NOUN
ejpam-3409	58	16	to	to	ADP
ejpam-3409	58	17	equation	equation	NOUN
ejpam-3409	58	18	(	(	PUNCT
ejpam-3409	58	19	15	15	NUM
ejpam-3409	58	20	)	)	PUNCT
ejpam-3409	58	21	,	,	PUNCT
ejpam-3409	58	22	we	we	PRON
ejpam-3409	58	23	obtain:	obtain:	PROPN
ejpam-3409	58	24	uk0(x	uk0(x	NOUN
ejpam-3409	58	25	,	,	PUNCT
ejpam-3409	58	26	y	y	PROPN
ejpam-3409	58	27	,	,	PUNCT
ejpam-3409	58	28	t	t	PROPN
ejpam-3409	58	29	)	)	PUNCT
ejpam-3409	58	30	=	=	NOUN
ejpam-3409	58	31	exp	exp	NOUN
ejpam-3409	58	32	(	(	PUNCT
ejpam-3409	58	33	1	1	NUM
ejpam-3409	58	34	2	2	NUM
ejpam-3409	58	35	√	√	PROPN
ejpam-3409	58	36	hr	hr	NOUN
ejpam-3409	58	37	2	2	NUM
ejpam-3409	58	38	(	(	PUNCT
ejpam-3409	58	39	x+	x+	PROPN
ejpam-3409	58	40	y	y	NOUN
ejpam-3409	58	41	)	)	PUNCT
ejpam-3409	58	42	)	)	PUNCT
ejpam-3409	59	1	+	+	CCONJ
ejpam-3409	59	2	∫	∫	PROPN
ejpam-3409	59	3	t	t	PROPN
ejpam-3409	59	4	0	0	NUM
ejpam-3409	59	5	n(uk−1(x	n(uk−1(x	PROPN
ejpam-3409	59	6	,	,	PUNCT
ejpam-3409	59	7	y	y	PROPN
ejpam-3409	59	8	,	,	PUNCT
ejpam-3409	59	9	s)ds	s)ds	PROPN
ejpam-3409	59	10	ukn(x	ukn(x	PROPN
ejpam-3409	59	11	,	,	PUNCT
ejpam-3409	59	12	y	y	PROPN
ejpam-3409	59	13	,	,	PUNCT
ejpam-3409	59	14	t	t	PROPN
ejpam-3409	59	15	)	)	PUNCT
ejpam-3409	59	16	=	=	SYM
ejpam-3409	60	1	∫	∫	PROPN
ejpam-3409	60	2	0tr(ukn−1(x	0tr(ukn−1(x	PROPN
ejpam-3409	60	3	,	,	PUNCT
ejpam-3409	60	4	y	y	PROPN
ejpam-3409	60	5	,	,	PUNCT
ejpam-3409	60	6	s))ds	s))ds	NOUN
ejpam-3409	60	7	,	,	PUNCT
ejpam-3409	60	8	n	n	PRON
ejpam-3409	60	9	≥	≥	NOUN
ejpam-3409	60	10	1	1	NUM
ejpam-3409	60	11	(	(	PUNCT
ejpam-3409	60	12	16	16	NUM
ejpam-3409	60	13	)	)	PUNCT
ejpam-3409	60	14	the	the	DET
ejpam-3409	60	15	solution	solution	NOUN
ejpam-3409	60	16	at	at	ADP
ejpam-3409	60	17	each	each	DET
ejpam-3409	60	18	stage	stage	NOUN
ejpam-3409	60	19	is	be	AUX
ejpam-3409	60	20	:	:	PUNCT
ejpam-3409	60	21	uk(x	uk(x	ADP
ejpam-3409	60	22	,	,	PUNCT
ejpam-3409	60	23	y	y	PROPN
ejpam-3409	60	24	,	,	PUNCT
ejpam-3409	60	25	t	t	PROPN
ejpam-3409	60	26	)	)	PUNCT
ejpam-3409	60	27	=	=	PUNCT
ejpam-3409	61	1	∞∑	∞∑	ADJ
ejpam-3409	61	2	n=0	n=0	SYM
ejpam-3409	61	3	ukn(x	ukn(x	PROPN
ejpam-3409	61	4	,	,	PUNCT
ejpam-3409	61	5	y	y	PROPN
ejpam-3409	61	6	,	,	PUNCT
ejpam-3409	61	7	t	t	PROPN
ejpam-3409	61	8	)	)	PUNCT
ejpam-3409	61	9	,	,	PUNCT
ejpam-3409	61	10	k	k	X
ejpam-3409	61	11	=	=	SYM
ejpam-3409	61	12	1	1	NUM
ejpam-3409	61	13	,	,	PUNCT
ejpam-3409	61	14	2	2	NUM
ejpam-3409	61	15	,	,	PUNCT
ejpam-3409	61	16	3	3	NUM
ejpam-3409	61	17	,	,	PUNCT
ejpam-3409	61	18	·	·	PUNCT
ejpam-3409	61	19	·	·	PUNCT
ejpam-3409	61	20	·	·	PUNCT
ejpam-3409	61	21	(	(	PUNCT
ejpam-3409	61	22	17	17	NUM
ejpam-3409	61	23	)	)	PUNCT
ejpam-3409	61	24	first	first	ADJ
ejpam-3409	61	25	step	step	NOUN
ejpam-3409	61	26	k	k	NOUN
ejpam-3409	62	1	=	=	PUNCT
ejpam-3409	62	2	1	1	NUM
ejpam-3409	62	3	in	in	ADP
ejpam-3409	62	4	applying	apply	VERB
ejpam-3409	62	5	the	the	DET
ejpam-3409	62	6	picard	picard	NOUN
ejpam-3409	62	7	principle	principle	NOUN
ejpam-3409	63	1	and	and	CCONJ
ejpam-3409	63	2	if	if	SCONJ
ejpam-3409	63	3	we	we	PRON
ejpam-3409	63	4	take	take	VERB
ejpam-3409	63	5	u0(x	u0(x	ADP
ejpam-3409	63	6	,	,	PUNCT
ejpam-3409	63	7	y	y	PROPN
ejpam-3409	63	8	,	,	PUNCT
ejpam-3409	63	9	s	s	PART
ejpam-3409	63	10	)	)	PUNCT
ejpam-3409	63	11	such	such	ADJ
ejpam-3409	63	12	as	as	ADP
ejpam-3409	63	13	n(u0(x	n(u0(x	PROPN
ejpam-3409	63	14	,	,	PUNCT
ejpam-3409	63	15	y	y	PROPN
ejpam-3409	63	16	,	,	PUNCT
ejpam-3409	63	17	s	s	NOUN
ejpam-3409	63	18	)	)	PUNCT
ejpam-3409	63	19	)	)	PUNCT
ejpam-3409	64	1	=	=	SYM
ejpam-3409	64	2	0	0	NUM
ejpam-3409	64	3	,	,	PUNCT
ejpam-3409	64	4	we	we	PRON
ejpam-3409	64	5	obtain	obtain	VERB
ejpam-3409	64	6	:	:	PUNCT
ejpam-3409	64	7			NOUN
ejpam-3409	64	8	u10(x	u10(x	VERB
ejpam-3409	64	9	,	,	PUNCT
ejpam-3409	64	10	y	y	PROPN
ejpam-3409	64	11	,	,	PUNCT
ejpam-3409	64	12	t	t	PROPN
ejpam-3409	64	13	)	)	PUNCT
ejpam-3409	64	14	=	=	NOUN
ejpam-3409	64	15	exp	exp	NOUN
ejpam-3409	64	16	(	(	PUNCT
ejpam-3409	64	17	1	1	NUM
ejpam-3409	64	18	2	2	NUM
ejpam-3409	64	19	√	√	PROPN
ejpam-3409	64	20	hr	hr	NOUN
ejpam-3409	64	21	2	2	NUM
ejpam-3409	64	22	(	(	PUNCT
ejpam-3409	64	23	x+	x+	PROPN
ejpam-3409	64	24	y	y	NOUN
ejpam-3409	64	25	)	)	PUNCT
ejpam-3409	64	26	)	)	PUNCT
ejpam-3409	65	1	u1n(x	u1n(x	PROPN
ejpam-3409	65	2	,	,	PUNCT
ejpam-3409	65	3	y	y	PROPN
ejpam-3409	65	4	,	,	PUNCT
ejpam-3409	65	5	t	t	PROPN
ejpam-3409	65	6	)	)	PUNCT
ejpam-3409	65	7	=	=	SYM
ejpam-3409	66	1	∫	∫	PROPN
ejpam-3409	66	2	t	t	NOUN
ejpam-3409	66	3	0	0	NUM
ejpam-3409	66	4	r(u1n−1(x	r(u1n−1(x	PROPN
ejpam-3409	66	5	,	,	PUNCT
ejpam-3409	66	6	y	y	PROPN
ejpam-3409	66	7	,	,	PUNCT
ejpam-3409	66	8	s))ds	s))ds	NOUN
ejpam-3409	66	9	,	,	PUNCT
ejpam-3409	66	10	n	n	PRON
ejpam-3409	66	11	≥	≥	NOUN
ejpam-3409	66	12	1	1	NUM
ejpam-3409	66	13	(	(	PUNCT
ejpam-3409	66	14	18	18	NUM
ejpam-3409	66	15	)	)	PUNCT
ejpam-3409	66	16	it	it	PRON
ejpam-3409	66	17	follows	follow	VERB
ejpam-3409	66	18	that	that	SCONJ
ejpam-3409	66	19	expressions	expression	NOUN
ejpam-3409	66	20	of	of	ADP
ejpam-3409	66	21	function	function	NOUN
ejpam-3409	66	22	u1n(x	u1n(x	PROPN
ejpam-3409	66	23	,	,	PUNCT
ejpam-3409	66	24	y	y	PROPN
ejpam-3409	66	25	,	,	PUNCT
ejpam-3409	66	26	t	t	PROPN
ejpam-3409	66	27	)	)	PUNCT
ejpam-3409	66	28	were	be	AUX
ejpam-3409	66	29	:	:	PUNCT
ejpam-3409	66	30			X
ejpam-3409	66	31	u10(x	u10(x	NOUN
ejpam-3409	66	32	,	,	PUNCT
ejpam-3409	66	33	y	y	PROPN
ejpam-3409	66	34	,	,	PUNCT
ejpam-3409	66	35	t	t	PROPN
ejpam-3409	66	36	)	)	PUNCT
ejpam-3409	66	37	=	=	NOUN
ejpam-3409	66	38	exp	exp	NOUN
ejpam-3409	66	39	(	(	PUNCT
ejpam-3409	66	40	1	1	NUM
ejpam-3409	66	41	2	2	NUM
ejpam-3409	66	42	√	√	PROPN
ejpam-3409	66	43	hr	hr	NOUN
ejpam-3409	66	44	2	2	NUM
ejpam-3409	66	45	(	(	PUNCT
ejpam-3409	66	46	x+	x+	PROPN
ejpam-3409	66	47	y	y	NOUN
ejpam-3409	66	48	)	)	PUNCT
ejpam-3409	66	49	)	)	PUNCT
ejpam-3409	66	50	u11(x	u11(x	NOUN
ejpam-3409	66	51	,	,	PUNCT
ejpam-3409	66	52	y	y	PROPN
ejpam-3409	66	53	,	,	PUNCT
ejpam-3409	66	54	t	t	PROPN
ejpam-3409	66	55	)	)	PUNCT
ejpam-3409	66	56	=	=	PUNCT
ejpam-3409	66	57	(	(	PUNCT
ejpam-3409	66	58	ht	ht	PROPN
ejpam-3409	66	59	)	)	PUNCT
ejpam-3409	66	60	exp	exp	NOUN
ejpam-3409	66	61	(	(	PUNCT
ejpam-3409	66	62	1	1	NUM
ejpam-3409	66	63	2	2	NUM
ejpam-3409	66	64	√	√	PROPN
ejpam-3409	66	65	hr	hr	NOUN
ejpam-3409	66	66	2	2	NUM
ejpam-3409	66	67	(	(	PUNCT
ejpam-3409	66	68	x+	x+	PROPN
ejpam-3409	66	69	y	y	NOUN
ejpam-3409	66	70	)	)	PUNCT
ejpam-3409	66	71	)	)	PUNCT
ejpam-3409	67	1	u12(x	u12(x	PROPN
ejpam-3409	67	2	,	,	PUNCT
ejpam-3409	67	3	y	y	PROPN
ejpam-3409	67	4	,	,	PUNCT
ejpam-3409	67	5	t	t	PROPN
ejpam-3409	67	6	)	)	PUNCT
ejpam-3409	67	7	=	=	SYM
ejpam-3409	67	8	1	1	NUM
ejpam-3409	67	9	2	2	NUM
ejpam-3409	67	10	!	!	PUNCT
ejpam-3409	67	11	(	(	PUNCT
ejpam-3409	67	12	ht)2	ht)2	NOUN
ejpam-3409	67	13	exp	exp	NOUN
ejpam-3409	67	14	(	(	PUNCT
ejpam-3409	67	15	1	1	NUM
ejpam-3409	67	16	2	2	NUM
ejpam-3409	67	17	√	√	PROPN
ejpam-3409	67	18	hr	hr	NOUN
ejpam-3409	67	19	2	2	NUM
ejpam-3409	67	20	(	(	PUNCT
ejpam-3409	67	21	x+	x+	PROPN
ejpam-3409	67	22	y	y	NOUN
ejpam-3409	67	23	)	)	PUNCT
ejpam-3409	67	24	)	)	PUNCT
ejpam-3409	67	25	...	...	PUNCT
ejpam-3409	68	1	u1n(x	u1n(x	PROPN
ejpam-3409	68	2	,	,	PUNCT
ejpam-3409	68	3	y	y	PROPN
ejpam-3409	68	4	,	,	PUNCT
ejpam-3409	68	5	t	t	PROPN
ejpam-3409	68	6	)	)	PUNCT
ejpam-3409	68	7	=	=	SYM
ejpam-3409	68	8	1	1	NUM
ejpam-3409	68	9	n	n	CCONJ
ejpam-3409	68	10	!	!	PUNCT
ejpam-3409	69	1	(	(	PUNCT
ejpam-3409	69	2	ht)n	ht)n	PROPN
ejpam-3409	69	3	exp	exp	NOUN
ejpam-3409	69	4	(	(	PUNCT
ejpam-3409	69	5	1	1	NUM
ejpam-3409	69	6	2	2	NUM
ejpam-3409	69	7	√	√	PROPN
ejpam-3409	69	8	hr	hr	NOUN
ejpam-3409	69	9	2	2	NUM
ejpam-3409	69	10	(	(	PUNCT
ejpam-3409	69	11	x+	x+	PROPN
ejpam-3409	69	12	y	y	NOUN
ejpam-3409	69	13	)	)	PUNCT
ejpam-3409	69	14	)	)	PUNCT
ejpam-3409	70	1	(	(	PUNCT
ejpam-3409	70	2	19	19	NUM
ejpam-3409	70	3	)	)	PUNCT
ejpam-3409	70	4	y.	y.	NOUN
ejpam-3409	70	5	paré	paré	PROPN
ejpam-3409	70	6	et	et	PROPN
ejpam-3409	70	7	al	al	PROPN
ejpam-3409	70	8	.	.	PUNCT
ejpam-3409	70	9	/	/	SYM
ejpam-3409	70	10	eur	eur	PROPN
ejpam-3409	70	11	.	.	PUNCT
ejpam-3409	71	1	j.	j.	PROPN
ejpam-3409	71	2	pure	pure	PROPN
ejpam-3409	71	3	appl	appl	PROPN
ejpam-3409	71	4	.	.	PROPN
ejpam-3409	71	5	math	math	PROPN
ejpam-3409	71	6	,	,	PUNCT
ejpam-3409	71	7	12	12	NUM
ejpam-3409	71	8	(	(	PUNCT
ejpam-3409	71	9	3	3	NUM
ejpam-3409	71	10	)	)	PUNCT
ejpam-3409	71	11	(	(	PUNCT
ejpam-3409	71	12	2019	2019	NUM
ejpam-3409	71	13	)	)	PUNCT
ejpam-3409	71	14	,	,	PUNCT
ejpam-3409	71	15	1096	1096	NUM
ejpam-3409	71	16	-	-	SYM
ejpam-3409	71	17	1105	1105	NUM
ejpam-3409	71	18	1100	1100	NUM
ejpam-3409	71	19	in	in	ADP
ejpam-3409	71	20	this	this	DET
ejpam-3409	71	21	representation	representation	NOUN
ejpam-3409	71	22	,	,	PUNCT
ejpam-3409	71	23	u1(x	u1(x	PROPN
ejpam-3409	71	24	,	,	PUNCT
ejpam-3409	71	25	y	y	PROPN
ejpam-3409	71	26	,	,	PUNCT
ejpam-3409	71	27	t	t	PROPN
ejpam-3409	71	28	)	)	PUNCT
ejpam-3409	71	29	form	form	VERB
ejpam-3409	71	30	the	the	DET
ejpam-3409	71	31	finite	finite	ADJ
ejpam-3409	71	32	sequence	sequence	NOUN
ejpam-3409	71	33	:	:	PUNCT
ejpam-3409	71	34	u1(x	u1(x	PROPN
ejpam-3409	71	35	,	,	PUNCT
ejpam-3409	71	36	y	y	PROPN
ejpam-3409	71	37	,	,	PUNCT
ejpam-3409	71	38	t	t	PROPN
ejpam-3409	71	39	)	)	PUNCT
ejpam-3409	71	40	=	=	PUNCT
ejpam-3409	72	1	∞∑	∞∑	NUM
ejpam-3409	72	2	n=0	n=0	NUM
ejpam-3409	72	3	u1n(x	u1n(x	PROPN
ejpam-3409	72	4	,	,	PUNCT
ejpam-3409	72	5	y	y	PROPN
ejpam-3409	72	6	,	,	PUNCT
ejpam-3409	72	7	t	t	PROPN
ejpam-3409	72	8	)	)	PUNCT
ejpam-3409	72	9	=	=	NOUN
ejpam-3409	73	1	(	(	PUNCT
ejpam-3409	73	2	∞∑	∞∑	NUM
ejpam-3409	73	3	n=0	n=0	NUM
ejpam-3409	73	4	1	1	NUM
ejpam-3409	73	5	n	n	NOUN
ejpam-3409	73	6	!	!	PUNCT
ejpam-3409	74	1	(	(	PUNCT
ejpam-3409	74	2	ht)n	ht)n	PROPN
ejpam-3409	74	3	)	)	PUNCT
ejpam-3409	74	4	exp	exp	NOUN
ejpam-3409	74	5	(	(	PUNCT
ejpam-3409	74	6	1	1	NUM
ejpam-3409	74	7	2	2	NUM
ejpam-3409	74	8	√	√	PROPN
ejpam-3409	74	9	hr	hr	NOUN
ejpam-3409	74	10	2	2	NUM
ejpam-3409	74	11	(	(	PUNCT
ejpam-3409	74	12	x+	x+	PROPN
ejpam-3409	74	13	y	y	NOUN
ejpam-3409	74	14	)	)	PUNCT
ejpam-3409	74	15	)	)	PUNCT
ejpam-3409	75	1	(	(	PUNCT
ejpam-3409	75	2	20	20	NUM
ejpam-3409	75	3	)	)	PUNCT
ejpam-3409	75	4	and	and	CCONJ
ejpam-3409	75	5	we	we	PRON
ejpam-3409	75	6	can	can	AUX
ejpam-3409	75	7	write	write	VERB
ejpam-3409	75	8	:	:	PUNCT
ejpam-3409	75	9	u1(x	u1(x	PROPN
ejpam-3409	75	10	,	,	PUNCT
ejpam-3409	75	11	y	y	PROPN
ejpam-3409	75	12	,	,	PUNCT
ejpam-3409	75	13	t	t	PROPN
ejpam-3409	75	14	)	)	PUNCT
ejpam-3409	75	15	=	=	NOUN
ejpam-3409	75	16	exp	exp	NOUN
ejpam-3409	75	17	(	(	PUNCT
ejpam-3409	75	18	ht)×	ht)×	X
ejpam-3409	75	19	exp	exp	NOUN
ejpam-3409	75	20	(	(	PUNCT
ejpam-3409	75	21	1	1	NUM
ejpam-3409	75	22	2	2	NUM
ejpam-3409	75	23	√	√	PROPN
ejpam-3409	75	24	hr	hr	NOUN
ejpam-3409	75	25	2	2	NUM
ejpam-3409	75	26	(	(	PUNCT
ejpam-3409	75	27	x+	x+	PROPN
ejpam-3409	75	28	y	y	NOUN
ejpam-3409	75	29	)	)	PUNCT
ejpam-3409	75	30	)	)	PUNCT
ejpam-3409	76	1	=	=	SYM
ejpam-3409	76	2	exp	exp	NOUN
ejpam-3409	76	3	(	(	PUNCT
ejpam-3409	76	4	ht+	ht+	NOUN
ejpam-3409	76	5	1	1	NUM
ejpam-3409	76	6	2	2	NUM
ejpam-3409	76	7	√	√	PROPN
ejpam-3409	76	8	hr	hr	NOUN
ejpam-3409	76	9	2	2	NUM
ejpam-3409	76	10	(	(	PUNCT
ejpam-3409	76	11	x+	x+	PROPN
ejpam-3409	76	12	y	y	NOUN
ejpam-3409	76	13	)	)	PUNCT
ejpam-3409	76	14	)	)	PUNCT
ejpam-3409	76	15	(	(	PUNCT
ejpam-3409	76	16	21	21	NUM
ejpam-3409	76	17	)	)	PUNCT
ejpam-3409	76	18	which	which	PRON
ejpam-3409	76	19	is	be	AUX
ejpam-3409	76	20	the	the	DET
ejpam-3409	76	21	solution	solution	NOUN
ejpam-3409	76	22	in	in	ADP
ejpam-3409	76	23	step	step	NOUN
ejpam-3409	76	24	1	1	NUM
ejpam-3409	76	25	second	second	ADJ
ejpam-3409	76	26	step	step	NOUN
ejpam-3409	76	27	k	k	NOUN
ejpam-3409	76	28	=	=	SYM
ejpam-3409	77	1	2	2	NUM
ejpam-3409	77	2	u20(x	u20(x	NOUN
ejpam-3409	77	3	,	,	PUNCT
ejpam-3409	77	4	y	y	PROPN
ejpam-3409	77	5	,	,	PUNCT
ejpam-3409	77	6	t	t	PROPN
ejpam-3409	77	7	)	)	PUNCT
ejpam-3409	77	8	=	=	NOUN
ejpam-3409	77	9	exp	exp	NOUN
ejpam-3409	77	10	(	(	PUNCT
ejpam-3409	77	11	1	1	NUM
ejpam-3409	77	12	2	2	NUM
ejpam-3409	77	13	√	√	PROPN
ejpam-3409	77	14	hr	hr	NOUN
ejpam-3409	77	15	2	2	NUM
ejpam-3409	77	16	(	(	PUNCT
ejpam-3409	77	17	x+	x+	PROPN
ejpam-3409	77	18	y	y	NOUN
ejpam-3409	77	19	)	)	PUNCT
ejpam-3409	77	20	)	)	PUNCT
ejpam-3409	78	1	+	+	CCONJ
ejpam-3409	79	1	∫	∫	PROPN
ejpam-3409	79	2	t	t	NOUN
ejpam-3409	79	3	0	0	NUM
ejpam-3409	79	4	n(u1(x	n(u1(x	NOUN
ejpam-3409	79	5	,	,	PUNCT
ejpam-3409	79	6	y	y	PROPN
ejpam-3409	79	7	,	,	PUNCT
ejpam-3409	79	8	s)ds	s)ds	PROPN
ejpam-3409	79	9	u2n(x	u2n(x	PROPN
ejpam-3409	79	10	,	,	PUNCT
ejpam-3409	79	11	y	y	PROPN
ejpam-3409	79	12	,	,	PUNCT
ejpam-3409	79	13	t	t	PROPN
ejpam-3409	79	14	)	)	PUNCT
ejpam-3409	79	15	=	=	SYM
ejpam-3409	80	1	∫	∫	PROPN
ejpam-3409	80	2	t	t	NOUN
ejpam-3409	80	3	0	0	NUM
ejpam-3409	80	4	r(u2n−1(x	r(u2n−1(x	NOUN
ejpam-3409	80	5	,	,	PUNCT
ejpam-3409	80	6	y	y	NOUN
ejpam-3409	80	7	,	,	PUNCT
ejpam-3409	80	8	s))ds	s))ds	NOUN
ejpam-3409	80	9	,	,	PUNCT
ejpam-3409	80	10	n	n	PRON
ejpam-3409	80	11	≥	≥	NOUN
ejpam-3409	80	12	1	1	NUM
ejpam-3409	80	13	(	(	PUNCT
ejpam-3409	80	14	22	22	NUM
ejpam-3409	80	15	)	)	PUNCT
ejpam-3409	80	16	gold	gold	NOUN
ejpam-3409	80	17	n(u1	n(u1	NOUN
ejpam-3409	80	18	)	)	PUNCT
ejpam-3409	81	1	=	=	SYM
ejpam-3409	81	2	∂2	∂2	NOUN
ejpam-3409	81	3	(	(	PUNCT
ejpam-3409	81	4	u1	u1	NOUN
ejpam-3409	81	5	)	)	PUNCT
ejpam-3409	81	6	2	2	NUM
ejpam-3409	81	7	∂x2	∂x2	NOUN
ejpam-3409	81	8	+	+	X
ejpam-3409	81	9	∂2	∂2	NOUN
ejpam-3409	81	10	(	(	PUNCT
ejpam-3409	81	11	u1	u1	NOUN
ejpam-3409	81	12	)	)	PUNCT
ejpam-3409	81	13	2	2	NUM
ejpam-3409	81	14	∂y2	∂y2	NOUN
ejpam-3409	81	15	−	−	PROPN
ejpam-3409	81	16	rh	rh	PROPN
ejpam-3409	81	17	(	(	PUNCT
ejpam-3409	81	18	u1	u1	PROPN
ejpam-3409	81	19	)	)	PUNCT
ejpam-3409	81	20	2	2	NUM
ejpam-3409	81	21	=	=	SYM
ejpam-3409	81	22	∂2	∂2	NOUN
ejpam-3409	81	23	(	(	PUNCT
ejpam-3409	81	24	exp	exp	NOUN
ejpam-3409	81	25	(	(	PUNCT
ejpam-3409	81	26	ht+	ht+	NOUN
ejpam-3409	81	27	1	1	NUM
ejpam-3409	81	28	2	2	NUM
ejpam-3409	81	29	√	√	PROPN
ejpam-3409	81	30	hr	hr	NOUN
ejpam-3409	81	31	2	2	NUM
ejpam-3409	81	32	(	(	PUNCT
ejpam-3409	81	33	x+	x+	PROPN
ejpam-3409	81	34	y	y	NOUN
ejpam-3409	81	35	)	)	PUNCT
ejpam-3409	81	36	)	)	PUNCT
ejpam-3409	81	37	)	)	PUNCT
ejpam-3409	82	1	2	2	NUM
ejpam-3409	82	2	∂x2	∂x2	NOUN
ejpam-3409	82	3	+	+	X
ejpam-3409	82	4	∂2	∂2	NOUN
ejpam-3409	82	5	(	(	PUNCT
ejpam-3409	82	6	exp	exp	NOUN
ejpam-3409	82	7	(	(	PUNCT
ejpam-3409	82	8	ht+	ht+	NOUN
ejpam-3409	82	9	1	1	NUM
ejpam-3409	82	10	2	2	NUM
ejpam-3409	82	11	√	√	PROPN
ejpam-3409	82	12	hr	hr	NOUN
ejpam-3409	82	13	2	2	NUM
ejpam-3409	82	14	(	(	PUNCT
ejpam-3409	82	15	x+	x+	PROPN
ejpam-3409	82	16	y	y	NOUN
ejpam-3409	82	17	)	)	PUNCT
ejpam-3409	82	18	)	)	PUNCT
ejpam-3409	82	19	)	)	PUNCT
ejpam-3409	82	20	2	2	NUM
ejpam-3409	82	21	∂y2	∂y2	NOUN
ejpam-3409	82	22	−	−	PROPN
ejpam-3409	82	23	rh	rh	PROPN
ejpam-3409	82	24	(	(	PUNCT
ejpam-3409	82	25	exp	exp	PROPN
ejpam-3409	82	26	(	(	PUNCT
ejpam-3409	82	27	ht+	ht+	NOUN
ejpam-3409	82	28	1	1	NUM
ejpam-3409	82	29	2	2	NUM
ejpam-3409	82	30	√	√	PROPN
ejpam-3409	82	31	hr	hr	NOUN
ejpam-3409	82	32	2	2	NUM
ejpam-3409	82	33	(	(	PUNCT
ejpam-3409	82	34	x+	x+	PROPN
ejpam-3409	82	35	y	y	NOUN
ejpam-3409	82	36	)	)	PUNCT
ejpam-3409	82	37	)	)	PUNCT
ejpam-3409	82	38	)	)	PUNCT
ejpam-3409	82	39	2	2	NUM
ejpam-3409	82	40	=	=	SYM
ejpam-3409	82	41	∂2	∂2	NOUN
ejpam-3409	82	42	(	(	PUNCT
ejpam-3409	82	43	exp	exp	NOUN
ejpam-3409	82	44	(	(	PUNCT
ejpam-3409	82	45	√	√	PROPN
ejpam-3409	82	46	hr	hr	NOUN
ejpam-3409	82	47	2	2	NUM
ejpam-3409	82	48	(	(	PUNCT
ejpam-3409	82	49	x+	x+	PROPN
ejpam-3409	82	50	y	y	NOUN
ejpam-3409	82	51	)	)	PUNCT
ejpam-3409	82	52	+	+	NUM
ejpam-3409	82	53	2ht	2ht	NOUN
ejpam-3409	82	54	)	)	PUNCT
ejpam-3409	82	55	)	)	PUNCT
ejpam-3409	82	56	∂x2	∂x2	NOUN
ejpam-3409	82	57	+	+	CCONJ
ejpam-3409	82	58	∂2	∂2	NOUN
ejpam-3409	82	59	(	(	PUNCT
ejpam-3409	82	60	exp	exp	NOUN
ejpam-3409	82	61	(	(	PUNCT
ejpam-3409	82	62	√	√	PROPN
ejpam-3409	82	63	hr	hr	NOUN
ejpam-3409	82	64	2	2	NUM
ejpam-3409	82	65	(	(	PUNCT
ejpam-3409	82	66	x+	x+	PROPN
ejpam-3409	82	67	y	y	NOUN
ejpam-3409	82	68	)	)	PUNCT
ejpam-3409	83	1	+	+	NUM
ejpam-3409	83	2	2ht	2ht	NOUN
ejpam-3409	83	3	)	)	PUNCT
ejpam-3409	83	4	)	)	PUNCT
ejpam-3409	84	1	∂y2	∂y2	ADJ
ejpam-3409	84	2	−	−	NUM
ejpam-3409	84	3	rh	rh	NOUN
ejpam-3409	84	4	exp	exp	NOUN
ejpam-3409	84	5	(	(	PUNCT
ejpam-3409	84	6	2ht+	2ht+	NUM
ejpam-3409	84	7	√	√	PROPN
ejpam-3409	84	8	hr	hr	NOUN
ejpam-3409	84	9	2	2	NUM
ejpam-3409	84	10	(	(	PUNCT
ejpam-3409	84	11	x+	x+	PROPN
ejpam-3409	84	12	y	y	NOUN
ejpam-3409	84	13	)	)	PUNCT
ejpam-3409	84	14	)	)	PUNCT
ejpam-3409	85	1	=	=	SYM
ejpam-3409	85	2	(	(	PUNCT
ejpam-3409	85	3	rh−	rh−	PROPN
ejpam-3409	85	4	rh	rh	PROPN
ejpam-3409	85	5	)	)	PUNCT
ejpam-3409	85	6	exp	exp	NOUN
ejpam-3409	85	7	(	(	PUNCT
ejpam-3409	85	8	2ht+	2ht+	NUM
ejpam-3409	85	9	√	√	PROPN
ejpam-3409	85	10	hr	hr	NOUN
ejpam-3409	85	11	2	2	NUM
ejpam-3409	85	12	(	(	PUNCT
ejpam-3409	85	13	x+	x+	PROPN
ejpam-3409	85	14	y	y	NOUN
ejpam-3409	85	15	)	)	PUNCT
ejpam-3409	85	16	)	)	PUNCT
ejpam-3409	86	1	=	=	SYM
ejpam-3409	86	2	0	0	PUNCT
ejpam-3409	86	3	(	(	PUNCT
ejpam-3409	86	4	23	23	NUM
ejpam-3409	86	5	)	)	PUNCT
ejpam-3409	86	6	from	from	ADP
ejpam-3409	86	7	where	where	SCONJ
ejpam-3409	86	8	in	in	ADP
ejpam-3409	86	9	step	step	NOUN
ejpam-3409	86	10	2	2	NUM
ejpam-3409	86	11	,	,	PUNCT
ejpam-3409	86	12	we	we	PRON
ejpam-3409	86	13	have	have	VERB
ejpam-3409	86	14	the	the	DET
ejpam-3409	86	15	following	follow	VERB
ejpam-3409	86	16	sba	sba	PROPN
ejpam-3409	86	17	algorithm:	algorithm:	PROPN
ejpam-3409	86	18	u20(x	u20(x	NOUN
ejpam-3409	86	19	,	,	PUNCT
ejpam-3409	86	20	y	y	PROPN
ejpam-3409	86	21	,	,	PUNCT
ejpam-3409	86	22	t	t	PROPN
ejpam-3409	86	23	)	)	PUNCT
ejpam-3409	86	24	=	=	NOUN
ejpam-3409	86	25	exp	exp	NOUN
ejpam-3409	86	26	(	(	PUNCT
ejpam-3409	86	27	1	1	NUM
ejpam-3409	86	28	2	2	NUM
ejpam-3409	86	29	√	√	PROPN
ejpam-3409	86	30	hr	hr	NOUN
ejpam-3409	86	31	2	2	NUM
ejpam-3409	86	32	(	(	PUNCT
ejpam-3409	86	33	x+	x+	PROPN
ejpam-3409	86	34	y	y	NOUN
ejpam-3409	86	35	)	)	PUNCT
ejpam-3409	86	36	)	)	PUNCT
ejpam-3409	87	1	u2n(x	u2n(x	PROPN
ejpam-3409	87	2	,	,	PUNCT
ejpam-3409	87	3	y	y	PROPN
ejpam-3409	87	4	,	,	PUNCT
ejpam-3409	87	5	t	t	PROPN
ejpam-3409	87	6	)	)	PUNCT
ejpam-3409	87	7	=	=	SYM
ejpam-3409	88	1	∫	∫	PROPN
ejpam-3409	88	2	t	t	NOUN
ejpam-3409	88	3	0	0	NUM
ejpam-3409	88	4	r(u2n−1(x	r(u2n−1(x	NOUN
ejpam-3409	88	5	,	,	PUNCT
ejpam-3409	88	6	y	y	NOUN
ejpam-3409	88	7	,	,	PUNCT
ejpam-3409	88	8	s))ds	s))ds	NOUN
ejpam-3409	88	9	,	,	PUNCT
ejpam-3409	88	10	n	n	PRON
ejpam-3409	88	11	≥	≥	NOUN
ejpam-3409	88	12	1	1	NUM
ejpam-3409	88	13	(	(	PUNCT
ejpam-3409	88	14	24	24	NUM
ejpam-3409	88	15	)	)	PUNCT
ejpam-3409	88	16	y.	y.	NOUN
ejpam-3409	88	17	paré	paré	PROPN
ejpam-3409	88	18	et	et	PROPN
ejpam-3409	88	19	al	al	PROPN
ejpam-3409	88	20	.	.	PUNCT
ejpam-3409	88	21	/	/	SYM
ejpam-3409	88	22	eur	eur	PROPN
ejpam-3409	88	23	.	.	PUNCT
ejpam-3409	89	1	j.	j.	PROPN
ejpam-3409	89	2	pure	pure	PROPN
ejpam-3409	89	3	appl	appl	PROPN
ejpam-3409	89	4	.	.	PROPN
ejpam-3409	89	5	math	math	PROPN
ejpam-3409	89	6	,	,	PUNCT
ejpam-3409	89	7	12	12	NUM
ejpam-3409	89	8	(	(	PUNCT
ejpam-3409	89	9	3	3	NUM
ejpam-3409	89	10	)	)	PUNCT
ejpam-3409	89	11	(	(	PUNCT
ejpam-3409	89	12	2019	2019	NUM
ejpam-3409	89	13	)	)	PUNCT
ejpam-3409	89	14	,	,	PUNCT
ejpam-3409	89	15	1096	1096	NUM
ejpam-3409	89	16	-	-	SYM
ejpam-3409	89	17	1105	1105	NUM
ejpam-3409	89	18	1101	1101	NUM
ejpam-3409	89	19	again	again	ADV
ejpam-3409	89	20	,	,	PUNCT
ejpam-3409	89	21	we	we	PRON
ejpam-3409	89	22	write	write	VERB
ejpam-3409	89	23	:	:	PUNCT
ejpam-3409	89	24			NUM
ejpam-3409	89	25	u20(x	u20(x	NOUN
ejpam-3409	89	26	,	,	PUNCT
ejpam-3409	89	27	y	y	PROPN
ejpam-3409	89	28	,	,	PUNCT
ejpam-3409	89	29	t	t	PROPN
ejpam-3409	89	30	)	)	PUNCT
ejpam-3409	89	31	=	=	NOUN
ejpam-3409	89	32	exp	exp	NOUN
ejpam-3409	89	33	(	(	PUNCT
ejpam-3409	89	34	1	1	NUM
ejpam-3409	89	35	2	2	NUM
ejpam-3409	89	36	√	√	PROPN
ejpam-3409	89	37	hr	hr	NOUN
ejpam-3409	89	38	2	2	NUM
ejpam-3409	89	39	(	(	PUNCT
ejpam-3409	89	40	x+	x+	PROPN
ejpam-3409	89	41	y	y	NOUN
ejpam-3409	89	42	)	)	PUNCT
ejpam-3409	89	43	)	)	PUNCT
ejpam-3409	90	1	u21(x	u21(x	NOUN
ejpam-3409	90	2	,	,	PUNCT
ejpam-3409	90	3	y	y	PROPN
ejpam-3409	90	4	,	,	PUNCT
ejpam-3409	90	5	t	t	PROPN
ejpam-3409	90	6	)	)	PUNCT
ejpam-3409	90	7	=	=	PUNCT
ejpam-3409	90	8	(	(	PUNCT
ejpam-3409	90	9	ht	ht	PROPN
ejpam-3409	90	10	)	)	PUNCT
ejpam-3409	90	11	exp	exp	NOUN
ejpam-3409	90	12	(	(	PUNCT
ejpam-3409	90	13	1	1	NUM
ejpam-3409	90	14	2	2	NUM
ejpam-3409	90	15	√	√	PROPN
ejpam-3409	90	16	hr	hr	NOUN
ejpam-3409	90	17	2	2	NUM
ejpam-3409	90	18	(	(	PUNCT
ejpam-3409	90	19	x+	x+	PROPN
ejpam-3409	90	20	y	y	NOUN
ejpam-3409	90	21	)	)	PUNCT
ejpam-3409	90	22	)	)	PUNCT
ejpam-3409	91	1	u22(x	u22(x	PROPN
ejpam-3409	91	2	,	,	PUNCT
ejpam-3409	91	3	y	y	PROPN
ejpam-3409	91	4	,	,	PUNCT
ejpam-3409	91	5	t	t	PROPN
ejpam-3409	91	6	)	)	PUNCT
ejpam-3409	91	7	=	=	SYM
ejpam-3409	91	8	1	1	NUM
ejpam-3409	91	9	2	2	NUM
ejpam-3409	91	10	!	!	PUNCT
ejpam-3409	91	11	(	(	PUNCT
ejpam-3409	91	12	ht)2	ht)2	NOUN
ejpam-3409	91	13	exp	exp	NOUN
ejpam-3409	91	14	(	(	PUNCT
ejpam-3409	91	15	1	1	NUM
ejpam-3409	91	16	2	2	NUM
ejpam-3409	91	17	√	√	PROPN
ejpam-3409	91	18	hr	hr	NOUN
ejpam-3409	91	19	2	2	NUM
ejpam-3409	91	20	(	(	PUNCT
ejpam-3409	91	21	x+	x+	PROPN
ejpam-3409	91	22	y	y	NOUN
ejpam-3409	91	23	)	)	PUNCT
ejpam-3409	91	24	)	)	PUNCT
ejpam-3409	91	25	...	...	PUNCT
ejpam-3409	92	1	u2n(x	u2n(x	ADJ
ejpam-3409	92	2	,	,	PUNCT
ejpam-3409	92	3	y	y	PROPN
ejpam-3409	92	4	,	,	PUNCT
ejpam-3409	92	5	t	t	PROPN
ejpam-3409	92	6	)	)	PUNCT
ejpam-3409	92	7	=	=	SYM
ejpam-3409	92	8	1	1	NUM
ejpam-3409	92	9	n	n	CCONJ
ejpam-3409	92	10	!	!	PUNCT
ejpam-3409	93	1	(	(	PUNCT
ejpam-3409	93	2	ht)n	ht)n	PROPN
ejpam-3409	93	3	exp	exp	NOUN
ejpam-3409	93	4	(	(	PUNCT
ejpam-3409	93	5	1	1	NUM
ejpam-3409	93	6	2	2	NUM
ejpam-3409	93	7	√	√	PROPN
ejpam-3409	93	8	hr	hr	NOUN
ejpam-3409	93	9	2	2	NUM
ejpam-3409	93	10	(	(	PUNCT
ejpam-3409	93	11	x+	x+	PROPN
ejpam-3409	93	12	y	y	NOUN
ejpam-3409	93	13	)	)	PUNCT
ejpam-3409	93	14	)	)	PUNCT
ejpam-3409	94	1	(	(	PUNCT
ejpam-3409	94	2	25	25	NUM
ejpam-3409	94	3	)	)	PUNCT
ejpam-3409	94	4	so	so	SCONJ
ejpam-3409	94	5	the	the	DET
ejpam-3409	94	6	finite	finite	ADJ
ejpam-3409	94	7	sequence	sequence	NOUN
ejpam-3409	94	8	form	form	NOUN
ejpam-3409	94	9	of	of	ADP
ejpam-3409	94	10	u2(x	u2(x	PROPN
ejpam-3409	94	11	,	,	PUNCT
ejpam-3409	94	12	y	y	PROPN
ejpam-3409	94	13	,	,	PUNCT
ejpam-3409	94	14	t	t	PROPN
ejpam-3409	94	15	)	)	PUNCT
ejpam-3409	94	16	is	be	AUX
ejpam-3409	94	17	:	:	PUNCT
ejpam-3409	94	18	u2(x	u2(x	NUM
ejpam-3409	94	19	,	,	PUNCT
ejpam-3409	94	20	y	y	PROPN
ejpam-3409	94	21	,	,	PUNCT
ejpam-3409	94	22	t	t	PROPN
ejpam-3409	94	23	)	)	PUNCT
ejpam-3409	94	24	=	=	PUNCT
ejpam-3409	95	1	∞∑	∞∑	NUM
ejpam-3409	95	2	n=0	n=0	ADJ
ejpam-3409	95	3	u2n(x	u2n(x	PROPN
ejpam-3409	95	4	,	,	PUNCT
ejpam-3409	95	5	y	y	PROPN
ejpam-3409	95	6	,	,	PUNCT
ejpam-3409	95	7	t	t	PROPN
ejpam-3409	95	8	)	)	PUNCT
ejpam-3409	95	9	=	=	NOUN
ejpam-3409	96	1	(	(	PUNCT
ejpam-3409	96	2	∞∑	∞∑	NUM
ejpam-3409	96	3	n=0	n=0	NUM
ejpam-3409	96	4	1	1	NUM
ejpam-3409	96	5	n	n	NOUN
ejpam-3409	96	6	!	!	PUNCT
ejpam-3409	97	1	(	(	PUNCT
ejpam-3409	97	2	ht)n	ht)n	PROPN
ejpam-3409	97	3	)	)	PUNCT
ejpam-3409	97	4	exp	exp	NOUN
ejpam-3409	97	5	(	(	PUNCT
ejpam-3409	97	6	1	1	NUM
ejpam-3409	97	7	2	2	NUM
ejpam-3409	97	8	√	√	PROPN
ejpam-3409	97	9	hr	hr	NOUN
ejpam-3409	97	10	2	2	NUM
ejpam-3409	97	11	(	(	PUNCT
ejpam-3409	97	12	x+	x+	PROPN
ejpam-3409	97	13	y	y	NOUN
ejpam-3409	97	14	)	)	PUNCT
ejpam-3409	97	15	)	)	PUNCT
ejpam-3409	98	1	(	(	PUNCT
ejpam-3409	98	2	26	26	NUM
ejpam-3409	98	3	)	)	PUNCT
ejpam-3409	98	4	thus	thus	ADV
ejpam-3409	98	5	,	,	PUNCT
ejpam-3409	98	6	u2(x	u2(x	PRON
ejpam-3409	98	7	,	,	PUNCT
ejpam-3409	98	8	y	y	PROPN
ejpam-3409	98	9	,	,	PUNCT
ejpam-3409	98	10	t	t	PROPN
ejpam-3409	98	11	)	)	PUNCT
ejpam-3409	98	12	=	=	SYM
ejpam-3409	98	13	exp	exp	NOUN
ejpam-3409	98	14	(	(	PUNCT
ejpam-3409	98	15	ht+	ht+	NOUN
ejpam-3409	98	16	1	1	NUM
ejpam-3409	98	17	2	2	NUM
ejpam-3409	98	18	√	√	PROPN
ejpam-3409	98	19	hr	hr	NOUN
ejpam-3409	98	20	2	2	NUM
ejpam-3409	98	21	(	(	PUNCT
ejpam-3409	98	22	x+	x+	PROPN
ejpam-3409	98	23	y	y	NOUN
ejpam-3409	98	24	)	)	PUNCT
ejpam-3409	98	25	)	)	PUNCT
ejpam-3409	98	26	(	(	PUNCT
ejpam-3409	98	27	27	27	NUM
ejpam-3409	98	28	)	)	PUNCT
ejpam-3409	98	29	is	be	AUX
ejpam-3409	98	30	the	the	DET
ejpam-3409	98	31	solution	solution	NOUN
ejpam-3409	98	32	in	in	ADP
ejpam-3409	98	33	step	step	NOUN
ejpam-3409	98	34	2	2	NUM
ejpam-3409	98	35	in	in	ADP
ejpam-3409	98	36	a	a	DET
ejpam-3409	98	37	recurrent	recurrent	ADJ
ejpam-3409	98	38	way	way	NOUN
ejpam-3409	98	39	,	,	PUNCT
ejpam-3409	98	40	for	for	ADP
ejpam-3409	98	41	the	the	DET
ejpam-3409	98	42	following	follow	VERB
ejpam-3409	98	43	steps	step	NOUN
ejpam-3409	98	44	(	(	PUNCT
ejpam-3409	98	45	k	k	X
ejpam-3409	98	46	≥	≥	NUM
ejpam-3409	98	47	3	3	NUM
ejpam-3409	98	48	)	)	PUNCT
ejpam-3409	98	49	,	,	PUNCT
ejpam-3409	98	50	we	we	PRON
ejpam-3409	98	51	obtain	obtain	VERB
ejpam-3409	98	52	:	:	PUNCT
ejpam-3409	98	53	uk(x	uk(x	ADP
ejpam-3409	98	54	,	,	PUNCT
ejpam-3409	98	55	y	y	PROPN
ejpam-3409	98	56	,	,	PUNCT
ejpam-3409	98	57	t	t	PROPN
ejpam-3409	98	58	)	)	PUNCT
ejpam-3409	98	59	=	=	PUNCT
ejpam-3409	99	1	∞∑	∞∑	ADJ
ejpam-3409	99	2	n=0	n=0	SYM
ejpam-3409	99	3	ukn(x	ukn(x	PROPN
ejpam-3409	99	4	,	,	PUNCT
ejpam-3409	99	5	y	y	PROPN
ejpam-3409	99	6	,	,	PUNCT
ejpam-3409	99	7	t	t	PROPN
ejpam-3409	99	8	)	)	PUNCT
ejpam-3409	99	9	=	=	SYM
ejpam-3409	99	10	exp	exp	NOUN
ejpam-3409	99	11	(	(	PUNCT
ejpam-3409	99	12	ht+	ht+	NOUN
ejpam-3409	99	13	1	1	NUM
ejpam-3409	99	14	2	2	NUM
ejpam-3409	99	15	√	√	PROPN
ejpam-3409	99	16	hr	hr	NOUN
ejpam-3409	99	17	2	2	NUM
ejpam-3409	99	18	(	(	PUNCT
ejpam-3409	99	19	x+	x+	PROPN
ejpam-3409	99	20	y	y	NOUN
ejpam-3409	99	21	)	)	PUNCT
ejpam-3409	99	22	)	)	PUNCT
ejpam-3409	99	23	(	(	PUNCT
ejpam-3409	99	24	28	28	NUM
ejpam-3409	99	25	)	)	PUNCT
ejpam-3409	99	26	therefore	therefore	ADV
ejpam-3409	99	27	,	,	PUNCT
ejpam-3409	99	28	the	the	DET
ejpam-3409	99	29	exact	exact	ADJ
ejpam-3409	99	30	solution	solution	NOUN
ejpam-3409	99	31	of	of	ADP
ejpam-3409	99	32	this	this	DET
ejpam-3409	99	33	equation	equation	NOUN
ejpam-3409	99	34	is	be	AUX
ejpam-3409	99	35	:	:	PUNCT
ejpam-3409	99	36	u(x	u(x	PROPN
ejpam-3409	99	37	,	,	PUNCT
ejpam-3409	99	38	y	y	PROPN
ejpam-3409	99	39	,	,	PUNCT
ejpam-3409	99	40	t	t	PROPN
ejpam-3409	99	41	)	)	PUNCT
ejpam-3409	99	42	=	=	VERB
ejpam-3409	100	1	lim	lim	PROPN
ejpam-3409	100	2	k→+∞	k→+∞	PROPN
ejpam-3409	100	3	uk(x	uk(x	ADP
ejpam-3409	100	4	,	,	PUNCT
ejpam-3409	100	5	y	y	PROPN
ejpam-3409	100	6	,	,	PUNCT
ejpam-3409	100	7	t	t	PROPN
ejpam-3409	100	8	)	)	PUNCT
ejpam-3409	100	9	=	=	SYM
ejpam-3409	100	10	exp	exp	NOUN
ejpam-3409	100	11	(	(	PUNCT
ejpam-3409	100	12	ht+	ht+	NOUN
ejpam-3409	100	13	1	1	NUM
ejpam-3409	100	14	2	2	NUM
ejpam-3409	100	15	√	√	PROPN
ejpam-3409	100	16	hr	hr	NOUN
ejpam-3409	100	17	2	2	NUM
ejpam-3409	100	18	(	(	PUNCT
ejpam-3409	100	19	x+	x+	PROPN
ejpam-3409	100	20	y	y	NOUN
ejpam-3409	100	21	)	)	PUNCT
ejpam-3409	100	22	)	)	PUNCT
ejpam-3409	100	23	(	(	PUNCT
ejpam-3409	100	24	29	29	NUM
ejpam-3409	100	25	)	)	PUNCT
ejpam-3409	100	26	2.3	2.3	NUM
ejpam-3409	100	27	.	.	PUNCT
ejpam-3409	100	28	example	example	NOUN
ejpam-3409	101	1	2	2	NUM
ejpam-3409	101	2	consider	consider	VERB
ejpam-3409	101	3	equation	equation	NOUN
ejpam-3409	101	4	(	(	PUNCT
ejpam-3409	101	5	1	1	NUM
ejpam-3409	101	6	)	)	PUNCT
ejpam-3409	101	7	with	with	ADP
ejpam-3409	101	8	α	α	NOUN
ejpam-3409	101	9	=	=	SYM
ejpam-3409	101	10	β	β	X
ejpam-3409	101	11	=	=	SYM
ejpam-3409	101	12	1	1	NUM
ejpam-3409	101	13	,	,	PUNCT
ejpam-3409	101	14	r	r	NOUN
ejpam-3409	101	15	=	=	SYM
ejpam-3409	101	16	0	0	NUM
ejpam-3409	101	17	,	,	PUNCT
ejpam-3409	101	18	h	h	NOUN
ejpam-3409	101	19	6=	6=	ADP
ejpam-3409	101	20	0	0	NUM
ejpam-3409	101	21	and	and	CCONJ
ejpam-3409	101	22	f(x	f(x	PROPN
ejpam-3409	101	23	,	,	PUNCT
ejpam-3409	101	24	y	y	NOUN
ejpam-3409	101	25	)	)	PUNCT
ejpam-3409	101	26	=	=	SYM
ejpam-3409	102	1	√	√	PROPN
ejpam-3409	102	2	cosx	cosx	PROPN
ejpam-3409	102	3	cosh	cosh	PROPN
ejpam-3409	102	4	y	y	PROPN
ejpam-3409	102	5	∂u(x	∂u(x	PROPN
ejpam-3409	102	6	,	,	PUNCT
ejpam-3409	102	7	y	y	PROPN
ejpam-3409	102	8	,	,	PUNCT
ejpam-3409	102	9	t	t	PROPN
ejpam-3409	102	10	)	)	PUNCT
ejpam-3409	102	11	∂t	∂t	PROPN
ejpam-3409	102	12	=	=	SYM
ejpam-3409	102	13	hu(x	hu(x	PROPN
ejpam-3409	102	14	,	,	PUNCT
ejpam-3409	102	15	y	y	PROPN
ejpam-3409	102	16	,	,	PUNCT
ejpam-3409	102	17	t	t	PROPN
ejpam-3409	102	18	)	)	PUNCT
ejpam-3409	103	1	+	+	NOUN
ejpam-3409	103	2	n	n	NUM
ejpam-3409	103	3	(	(	PUNCT
ejpam-3409	103	4	u(x	u(x	PROPN
ejpam-3409	103	5	,	,	PUNCT
ejpam-3409	103	6	y	y	PROPN
ejpam-3409	103	7	,	,	PUNCT
ejpam-3409	103	8	t	t	PROPN
ejpam-3409	103	9	)	)	PUNCT
ejpam-3409	103	10	)	)	PUNCT
ejpam-3409	103	11	,	,	PUNCT
ejpam-3409	103	12	(	(	PUNCT
ejpam-3409	103	13	x	x	X
ejpam-3409	103	14	,	,	PUNCT
ejpam-3409	103	15	y	y	NOUN
ejpam-3409	103	16	)	)	PUNCT
ejpam-3409	103	17	∈	∈	PROPN
ejpam-3409	103	18	r2	r2	NOUN
ejpam-3409	103	19	,	,	PUNCT
ejpam-3409	103	20	t	t	PROPN
ejpam-3409	103	21	>	>	X
ejpam-3409	103	22	0	0	NUM
ejpam-3409	104	1	u(x	u(x	PROPN
ejpam-3409	104	2	,	,	PUNCT
ejpam-3409	104	3	y	y	NOUN
ejpam-3409	104	4	,	,	PUNCT
ejpam-3409	104	5	0	0	NUM
ejpam-3409	104	6	)	)	PUNCT
ejpam-3409	104	7	=	=	SYM
ejpam-3409	104	8	√	√	PROPN
ejpam-3409	104	9	cosx	cosx	PROPN
ejpam-3409	104	10	cosh	cosh	PROPN
ejpam-3409	104	11	y	y	PROPN
ejpam-3409	104	12	(	(	PUNCT
ejpam-3409	104	13	30	30	NUM
ejpam-3409	104	14	)	)	PUNCT
ejpam-3409	104	15	where	where	SCONJ
ejpam-3409	104	16	n	n	X
ejpam-3409	104	17	(	(	PUNCT
ejpam-3409	104	18	u(x	u(x	PROPN
ejpam-3409	104	19	,	,	PUNCT
ejpam-3409	104	20	y	y	PROPN
ejpam-3409	104	21	,	,	PUNCT
ejpam-3409	104	22	t	t	PROPN
ejpam-3409	104	23	)	)	PUNCT
ejpam-3409	104	24	)	)	PUNCT
ejpam-3409	105	1	=	=	SYM
ejpam-3409	105	2	∆u2(x	∆u2(x	PROPN
ejpam-3409	105	3	,	,	PUNCT
ejpam-3409	105	4	y	y	PROPN
ejpam-3409	105	5	,	,	PUNCT
ejpam-3409	105	6	t	t	PROPN
ejpam-3409	105	7	)	)	PUNCT
ejpam-3409	105	8	(	(	PUNCT
ejpam-3409	105	9	31	31	X
ejpam-3409	105	10	)	)	PUNCT
ejpam-3409	106	1	y.	y.	NOUN
ejpam-3409	106	2	paré	paré	PROPN
ejpam-3409	106	3	et	et	PROPN
ejpam-3409	106	4	al	al	PROPN
ejpam-3409	106	5	.	.	PUNCT
ejpam-3409	106	6	/	/	SYM
ejpam-3409	106	7	eur	eur	PROPN
ejpam-3409	106	8	.	.	PUNCT
ejpam-3409	107	1	j.	j.	PROPN
ejpam-3409	107	2	pure	pure	PROPN
ejpam-3409	107	3	appl	appl	PROPN
ejpam-3409	107	4	.	.	PROPN
ejpam-3409	107	5	math	math	PROPN
ejpam-3409	107	6	,	,	PUNCT
ejpam-3409	107	7	12	12	NUM
ejpam-3409	107	8	(	(	PUNCT
ejpam-3409	107	9	3	3	NUM
ejpam-3409	107	10	)	)	PUNCT
ejpam-3409	107	11	(	(	PUNCT
ejpam-3409	107	12	2019	2019	NUM
ejpam-3409	107	13	)	)	PUNCT
ejpam-3409	107	14	,	,	PUNCT
ejpam-3409	107	15	1096	1096	NUM
ejpam-3409	107	16	-	-	SYM
ejpam-3409	107	17	1105	1105	NUM
ejpam-3409	107	18	1102	1102	NUM
ejpam-3409	107	19	from	from	ADP
ejpam-3409	107	20	(	(	PUNCT
ejpam-3409	107	21	30	30	NUM
ejpam-3409	107	22	)	)	PUNCT
ejpam-3409	108	1	,	,	PUNCT
ejpam-3409	108	2	we	we	PRON
ejpam-3409	108	3	obtain	obtain	VERB
ejpam-3409	108	4	the	the	DET
ejpam-3409	108	5	following	follow	VERB
ejpam-3409	108	6	canonical	canonical	ADJ
ejpam-3409	108	7	adomian	adomian	NOUN
ejpam-3409	108	8	form	form	NOUN
ejpam-3409	108	9	:	:	PUNCT
ejpam-3409	108	10	u(x	u(x	PROPN
ejpam-3409	108	11	,	,	PUNCT
ejpam-3409	108	12	y	y	PROPN
ejpam-3409	108	13	,	,	PUNCT
ejpam-3409	108	14	t	t	PROPN
ejpam-3409	108	15	)	)	PUNCT
ejpam-3409	108	16	=	=	SYM
ejpam-3409	108	17	√	√	PROPN
ejpam-3409	108	18	cosx	cosx	PROPN
ejpam-3409	108	19	cosh	cosh	PROPN
ejpam-3409	108	20	y	y	PROPN
ejpam-3409	109	1	+	+	CCONJ
ejpam-3409	109	2	h	h	NOUN
ejpam-3409	110	1	∫	∫	PROPN
ejpam-3409	110	2	t	t	PROPN
ejpam-3409	110	3	0	0	NUM
ejpam-3409	110	4	u(x	u(x	PROPN
ejpam-3409	110	5	,	,	PUNCT
ejpam-3409	110	6	y	y	PROPN
ejpam-3409	110	7	,	,	PUNCT
ejpam-3409	110	8	s)ds+	s)ds+	NOUN
ejpam-3409	110	9	∫	∫	PROPN
ejpam-3409	111	1	t	t	PROPN
ejpam-3409	111	2	0	0	NUM
ejpam-3409	111	3	n	n	CCONJ
ejpam-3409	111	4	(	(	PUNCT
ejpam-3409	111	5	u(x	u(x	PROPN
ejpam-3409	111	6	,	,	PUNCT
ejpam-3409	111	7	y	y	PROPN
ejpam-3409	111	8	,	,	PUNCT
ejpam-3409	111	9	s	s	PART
ejpam-3409	111	10	)	)	PUNCT
ejpam-3409	111	11	)	)	PUNCT
ejpam-3409	112	1	ds	ds	NOUN
ejpam-3409	112	2	(	(	PUNCT
ejpam-3409	112	3	32	32	NUM
ejpam-3409	112	4	)	)	PUNCT
ejpam-3409	112	5	from	from	ADP
ejpam-3409	112	6	(	(	PUNCT
ejpam-3409	112	7	32	32	NUM
ejpam-3409	112	8	)	)	PUNCT
ejpam-3409	112	9	,	,	PUNCT
ejpam-3409	112	10	the	the	DET
ejpam-3409	112	11	successive	successive	ADJ
ejpam-3409	112	12	approximations	approximation	NOUN
ejpam-3409	112	13	give	give	VERB
ejpam-3409	112	14	us	we	PRON
ejpam-3409	112	15	uk(x	uk(x	ADP
ejpam-3409	112	16	,	,	PUNCT
ejpam-3409	112	17	y	y	PROPN
ejpam-3409	112	18	,	,	PUNCT
ejpam-3409	112	19	t	t	PROPN
ejpam-3409	112	20	)	)	PUNCT
ejpam-3409	112	21	=	=	SYM
ejpam-3409	113	1	√	√	PROPN
ejpam-3409	113	2	cosx	cosx	PROPN
ejpam-3409	113	3	cosh	cosh	PROPN
ejpam-3409	113	4	y	y	PROPN
ejpam-3409	113	5	+	+	PROPN
ejpam-3409	113	6	ñk−1	ñk−1	PROPN
ejpam-3409	113	7	(	(	PUNCT
ejpam-3409	113	8	u(x	u(x	PROPN
ejpam-3409	113	9	,	,	PUNCT
ejpam-3409	113	10	y	y	PROPN
ejpam-3409	113	11	,	,	PUNCT
ejpam-3409	113	12	t	t	PROPN
ejpam-3409	113	13	)	)	PUNCT
ejpam-3409	113	14	)	)	PUNCT
ejpam-3409	114	1	+	+	CCONJ
ejpam-3409	115	1	h	h	NOUN
ejpam-3409	115	2	∫	∫	PROPN
ejpam-3409	115	3	t	t	PROPN
ejpam-3409	115	4	0	0	NUM
ejpam-3409	115	5	uk(x	uk(x	PROPN
ejpam-3409	115	6	,	,	PUNCT
ejpam-3409	115	7	y	y	PROPN
ejpam-3409	115	8	,	,	PUNCT
ejpam-3409	115	9	s)ds	s)ds	PROPN
ejpam-3409	115	10	(	(	PUNCT
ejpam-3409	115	11	33	33	NUM
ejpam-3409	115	12	)	)	PUNCT
ejpam-3409	115	13	where	where	SCONJ
ejpam-3409	115	14	ñ	ñ	PROPN
ejpam-3409	115	15	(	(	PUNCT
ejpam-3409	115	16	uk−1(x	uk−1(x	PROPN
ejpam-3409	115	17	,	,	PUNCT
ejpam-3409	115	18	y	y	PROPN
ejpam-3409	115	19	,	,	PUNCT
ejpam-3409	115	20	t	t	PROPN
ejpam-3409	115	21	)	)	PUNCT
ejpam-3409	115	22	)	)	PUNCT
ejpam-3409	116	1	=	=	PUNCT
ejpam-3409	117	1	∫	∫	PROPN
ejpam-3409	117	2	t	t	PROPN
ejpam-3409	117	3	0	0	NUM
ejpam-3409	118	1	n	n	CCONJ
ejpam-3409	118	2	(	(	PUNCT
ejpam-3409	118	3	uk−1(x	uk−1(x	PROPN
ejpam-3409	118	4	,	,	PUNCT
ejpam-3409	118	5	y	y	PROPN
ejpam-3409	118	6	,	,	PUNCT
ejpam-3409	118	7	s	s	NOUN
ejpam-3409	118	8	)	)	PUNCT
ejpam-3409	118	9	)	)	PUNCT
ejpam-3409	119	1	ds	ds	INTJ
ejpam-3409	119	2	(	(	PUNCT
ejpam-3409	119	3	34	34	NUM
ejpam-3409	119	4	)	)	PUNCT
ejpam-3409	119	5	from	from	ADP
ejpam-3409	119	6	(	(	PUNCT
ejpam-3409	119	7	33	33	NUM
ejpam-3409	119	8	)	)	PUNCT
ejpam-3409	119	9	,	,	PUNCT
ejpam-3409	119	10	we	we	PRON
ejpam-3409	119	11	have	have	VERB
ejpam-3409	119	12	the	the	DET
ejpam-3409	119	13	following	follow	VERB
ejpam-3409	119	14	algorithm	algorithm	NOUN
ejpam-3409	119	15	of	of	ADP
ejpam-3409	119	16	adomian	adomian	NOUN
ejpam-3409	119	17	:	:	PUNCT
ejpam-3409	119	18			X
ejpam-3409	119	19	uk0(x	uk0(x	PROPN
ejpam-3409	119	20	,	,	PUNCT
ejpam-3409	119	21	y	y	PROPN
ejpam-3409	119	22	,	,	PUNCT
ejpam-3409	119	23	t	t	PROPN
ejpam-3409	119	24	)	)	PUNCT
ejpam-3409	119	25	=	=	SYM
ejpam-3409	119	26	√	√	PROPN
ejpam-3409	119	27	cosx	cosx	PROPN
ejpam-3409	119	28	cosh	cosh	PROPN
ejpam-3409	119	29	y	y	PROPN
ejpam-3409	119	30	+	+	PROPN
ejpam-3409	119	31	ñk−1	ñk−1	PROPN
ejpam-3409	119	32	(	(	PUNCT
ejpam-3409	119	33	u(x	u(x	PROPN
ejpam-3409	119	34	,	,	PUNCT
ejpam-3409	119	35	y	y	PROPN
ejpam-3409	119	36	,	,	PUNCT
ejpam-3409	119	37	t	t	PROPN
ejpam-3409	119	38	)	)	PUNCT
ejpam-3409	119	39	)	)	PUNCT
ejpam-3409	119	40	ukn+1(x	ukn+1(x	NOUN
ejpam-3409	119	41	,	,	PUNCT
ejpam-3409	119	42	y	y	PROPN
ejpam-3409	119	43	,	,	PUNCT
ejpam-3409	119	44	t	t	PROPN
ejpam-3409	119	45	)	)	PUNCT
ejpam-3409	119	46	=	=	SYM
ejpam-3409	120	1	h	h	NOUN
ejpam-3409	120	2	∫	∫	PROPN
ejpam-3409	120	3	t	t	NOUN
ejpam-3409	120	4	0	0	NUM
ejpam-3409	121	1	ukn(x	ukn(x	PROPN
ejpam-3409	121	2	,	,	PUNCT
ejpam-3409	121	3	y	y	PROPN
ejpam-3409	121	4	,	,	PUNCT
ejpam-3409	121	5	s)ds	s)ds	PROPN
ejpam-3409	121	6	,	,	PUNCT
ejpam-3409	121	7	n	n	PRON
ejpam-3409	121	8	≥	≥	NOUN
ejpam-3409	121	9	0	0	NUM
ejpam-3409	121	10	(	(	PUNCT
ejpam-3409	121	11	35	35	NUM
ejpam-3409	121	12	)	)	PUNCT
ejpam-3409	121	13	let	let	VERB
ejpam-3409	121	14	us	we	PRON
ejpam-3409	121	15	apply	apply	VERB
ejpam-3409	121	16	to	to	ADP
ejpam-3409	121	17	(	(	PUNCT
ejpam-3409	121	18	35	35	NUM
ejpam-3409	121	19	)	)	PUNCT
ejpam-3409	121	20	,	,	PUNCT
ejpam-3409	121	21	the	the	DET
ejpam-3409	121	22	principle	principle	NOUN
ejpam-3409	121	23	of	of	ADP
ejpam-3409	121	24	picard	picard	NOUN
ejpam-3409	121	25	.	.	PUNCT
ejpam-3409	122	1	we	we	PRON
ejpam-3409	122	2	remark	remark	VERB
ejpam-3409	122	3	that	that	SCONJ
ejpam-3409	122	4	u0(x	u0(x	ADP
ejpam-3409	122	5	,	,	PUNCT
ejpam-3409	122	6	y	y	PROPN
ejpam-3409	122	7	,	,	PUNCT
ejpam-3409	122	8	t	t	PROPN
ejpam-3409	122	9	)	)	PUNCT
ejpam-3409	122	10	=	=	SYM
ejpam-3409	122	11	0	0	NUM
ejpam-3409	122	12	is	be	AUX
ejpam-3409	122	13	a	a	DET
ejpam-3409	122	14	root	root	NOUN
ejpam-3409	122	15	of	of	ADP
ejpam-3409	122	16	the	the	DET
ejpam-3409	122	17	ñ	ñ	PROPN
ejpam-3409	122	18	(	(	PUNCT
ejpam-3409	122	19	u0(x	u0(x	PROPN
ejpam-3409	122	20	,	,	PUNCT
ejpam-3409	122	21	y	y	PROPN
ejpam-3409	122	22	,	,	PUNCT
ejpam-3409	122	23	t	t	PROPN
ejpam-3409	122	24	)	)	PUNCT
ejpam-3409	122	25	)	)	PUNCT
ejpam-3409	123	1	=	=	SYM
ejpam-3409	123	2	0	0	NUM
ejpam-3409	124	1	for	for	ADP
ejpam-3409	124	2	k	k	PROPN
ejpam-3409	124	3	=	=	SYM
ejpam-3409	124	4	1	1	NUM
ejpam-3409	124	5	,	,	PUNCT
ejpam-3409	124	6	we	we	PRON
ejpam-3409	124	7	obtain	obtain	VERB
ejpam-3409	124	8	:	:	PUNCT
ejpam-3409	124	9			NOUN
ejpam-3409	124	10	u10(x	u10(x	PROPN
ejpam-3409	124	11	,	,	PUNCT
ejpam-3409	124	12	y	y	PROPN
ejpam-3409	124	13	,	,	PUNCT
ejpam-3409	124	14	t	t	PROPN
ejpam-3409	124	15	)	)	PUNCT
ejpam-3409	124	16	=	=	SYM
ejpam-3409	125	1	√	√	PROPN
ejpam-3409	125	2	cosx	cosx	PROPN
ejpam-3409	125	3	cosh	cosh	PROPN
ejpam-3409	125	4	y	y	PROPN
ejpam-3409	125	5	u11(x	u11(x	PROPN
ejpam-3409	125	6	,	,	PUNCT
ejpam-3409	125	7	y	y	PROPN
ejpam-3409	125	8	,	,	PUNCT
ejpam-3409	125	9	t	t	PROPN
ejpam-3409	125	10	)	)	PUNCT
ejpam-3409	125	11	=	=	SYM
ejpam-3409	125	12	(	(	PUNCT
ejpam-3409	125	13	th	th	NOUN
ejpam-3409	125	14	)	)	PUNCT
ejpam-3409	125	15	√	√	PROPN
ejpam-3409	125	16	cosx	cosx	PROPN
ejpam-3409	125	17	cosh	cosh	PROPN
ejpam-3409	125	18	y	y	PROPN
ejpam-3409	125	19	u12(x	u12(x	PROPN
ejpam-3409	125	20	,	,	PUNCT
ejpam-3409	125	21	y	y	PROPN
ejpam-3409	125	22	,	,	PUNCT
ejpam-3409	125	23	t	t	PROPN
ejpam-3409	125	24	)	)	PUNCT
ejpam-3409	125	25	=	=	SYM
ejpam-3409	125	26	1	1	NUM
ejpam-3409	125	27	2	2	NUM
ejpam-3409	125	28	!	!	PUNCT
ejpam-3409	126	1	(	(	PUNCT
ejpam-3409	126	2	th)2	th)2	NOUN
ejpam-3409	126	3	√	√	PROPN
ejpam-3409	126	4	cosx	cosx	PROPN
ejpam-3409	126	5	cosh	cosh	PROPN
ejpam-3409	126	6	y	y	PROPN
ejpam-3409	126	7	u13(x	u13(x	PROPN
ejpam-3409	126	8	,	,	PUNCT
ejpam-3409	126	9	y	y	PROPN
ejpam-3409	126	10	,	,	PUNCT
ejpam-3409	126	11	t	t	PROPN
ejpam-3409	126	12	)	)	PUNCT
ejpam-3409	126	13	=	=	SYM
ejpam-3409	126	14	1	1	NUM
ejpam-3409	126	15	3	3	NUM
ejpam-3409	126	16	!	!	PUNCT
ejpam-3409	126	17	(	(	PUNCT
ejpam-3409	126	18	th)3	th)3	NOUN
ejpam-3409	126	19	√	√	PROPN
ejpam-3409	126	20	cosx	cosx	PROPN
ejpam-3409	126	21	cosh	cosh	PROPN
ejpam-3409	126	22	y	y	PROPN
ejpam-3409	126	23	...	...	PUNCT
ejpam-3409	127	1	u1n(x	u1n(x	PROPN
ejpam-3409	127	2	,	,	PUNCT
ejpam-3409	127	3	y	y	PROPN
ejpam-3409	127	4	,	,	PUNCT
ejpam-3409	127	5	t	t	PROPN
ejpam-3409	127	6	)	)	PUNCT
ejpam-3409	127	7	=	=	SYM
ejpam-3409	127	8	1	1	NUM
ejpam-3409	127	9	n	n	CCONJ
ejpam-3409	127	10	!	!	PUNCT
ejpam-3409	128	1	(	(	PUNCT
ejpam-3409	128	2	th)n	th)n	NOUN
ejpam-3409	128	3	√	√	PROPN
ejpam-3409	128	4	cosx	cosx	PROPN
ejpam-3409	128	5	cosh	cosh	PROPN
ejpam-3409	128	6	y	y	PROPN
ejpam-3409	128	7	(	(	PUNCT
ejpam-3409	128	8	36	36	NUM
ejpam-3409	128	9	)	)	PUNCT
ejpam-3409	128	10	let	let	VERB
ejpam-3409	128	11	us	we	PRON
ejpam-3409	128	12	put	put	VERB
ejpam-3409	128	13	u1(x	u1(x	PROPN
ejpam-3409	128	14	,	,	PUNCT
ejpam-3409	128	15	y	y	PROPN
ejpam-3409	128	16	,	,	PUNCT
ejpam-3409	128	17	t	t	PROPN
ejpam-3409	128	18	)	)	PUNCT
ejpam-3409	128	19	=	=	SYM
ejpam-3409	128	20	u10(x	u10(x	NOUN
ejpam-3409	128	21	,	,	PUNCT
ejpam-3409	128	22	y	y	PROPN
ejpam-3409	128	23	,	,	PUNCT
ejpam-3409	128	24	t	t	PROPN
ejpam-3409	128	25	)	)	PUNCT
ejpam-3409	129	1	+	+	CCONJ
ejpam-3409	129	2	u11(x	u11(x	NOUN
ejpam-3409	129	3	,	,	PUNCT
ejpam-3409	129	4	y	y	PROPN
ejpam-3409	129	5	,	,	PUNCT
ejpam-3409	129	6	t	t	PROPN
ejpam-3409	129	7	)	)	PUNCT
ejpam-3409	130	1	+	+	CCONJ
ejpam-3409	130	2	u12(x	u12(x	PROPN
ejpam-3409	130	3	,	,	PUNCT
ejpam-3409	130	4	y	y	PROPN
ejpam-3409	130	5	,	,	PUNCT
ejpam-3409	130	6	t	t	PROPN
ejpam-3409	130	7	)	)	PUNCT
ejpam-3409	130	8	+	+	X
ejpam-3409	130	9	·	·	PUNCT
ejpam-3409	130	10	·	·	PUNCT
ejpam-3409	130	11	·	·	PUNCT
ejpam-3409	131	1	=	=	PUNCT
ejpam-3409	131	2	(	(	PUNCT
ejpam-3409	131	3	1	1	NUM
ejpam-3409	131	4	+	+	CCONJ
ejpam-3409	131	5	(	(	PUNCT
ejpam-3409	131	6	th	th	NOUN
ejpam-3409	131	7	)	)	PUNCT
ejpam-3409	131	8	+	+	CCONJ
ejpam-3409	131	9	1	1	NUM
ejpam-3409	131	10	2	2	NUM
ejpam-3409	131	11	!	!	PUNCT
ejpam-3409	132	1	(	(	PUNCT
ejpam-3409	132	2	th)2	th)2	NOUN
ejpam-3409	132	3	+	+	CCONJ
ejpam-3409	132	4	1	1	NUM
ejpam-3409	132	5	3	3	NUM
ejpam-3409	132	6	!	!	PUNCT
ejpam-3409	132	7	(	(	PUNCT
ejpam-3409	132	8	th)3	th)3	NOUN
ejpam-3409	132	9	+	+	PROPN
ejpam-3409	132	10	·	·	PUNCT
ejpam-3409	132	11	·	·	PUNCT
ejpam-3409	132	12	·	·	PUNCT
ejpam-3409	132	13	)	)	PUNCT
ejpam-3409	133	1	√	√	PROPN
ejpam-3409	133	2	cosx	cosx	PROPN
ejpam-3409	133	3	cosh	cosh	PROPN
ejpam-3409	133	4	y	y	PROPN
ejpam-3409	133	5	=	=	SYM
ejpam-3409	133	6	√	√	PROPN
ejpam-3409	133	7	cosx	cosx	PROPN
ejpam-3409	133	8	cosh	cosh	PROPN
ejpam-3409	133	9	yeth	yeth	PROPN
ejpam-3409	133	10	(	(	PUNCT
ejpam-3409	133	11	37	37	NUM
ejpam-3409	133	12	)	)	PUNCT
ejpam-3409	133	13	second	second	ADJ
ejpam-3409	133	14	step	step	NOUN
ejpam-3409	133	15	for	for	ADP
ejpam-3409	133	16	k	k	PROPN
ejpam-3409	133	17	=	=	SYM
ejpam-3409	133	18	2	2	NUM
ejpam-3409	133	19	,	,	PUNCT
ejpam-3409	133	20	we	we	PRON
ejpam-3409	133	21	have	have	AUX
ejpam-3409	133	22	:	:	PUNCT
ejpam-3409	133	23	y.	y.	PROPN
ejpam-3409	133	24	paré	paré	PROPN
ejpam-3409	133	25	et	et	PROPN
ejpam-3409	133	26	al	al	PROPN
ejpam-3409	133	27	.	.	PUNCT
ejpam-3409	133	28	/	/	SYM
ejpam-3409	133	29	eur	eur	PROPN
ejpam-3409	133	30	.	.	PUNCT
ejpam-3409	134	1	j.	j.	PROPN
ejpam-3409	134	2	pure	pure	PROPN
ejpam-3409	134	3	appl	appl	PROPN
ejpam-3409	134	4	.	.	PROPN
ejpam-3409	134	5	math	math	PROPN
ejpam-3409	134	6	,	,	PUNCT
ejpam-3409	134	7	12	12	NUM
ejpam-3409	134	8	(	(	PUNCT
ejpam-3409	134	9	3	3	NUM
ejpam-3409	134	10	)	)	PUNCT
ejpam-3409	134	11	(	(	PUNCT
ejpam-3409	134	12	2019	2019	NUM
ejpam-3409	134	13	)	)	PUNCT
ejpam-3409	134	14	,	,	PUNCT
ejpam-3409	134	15	1096	1096	NUM
ejpam-3409	134	16	-	-	SYM
ejpam-3409	134	17	1105	1105	NUM
ejpam-3409	134	18	1103	1103	NUM
ejpam-3409	134	19	ñ	ñ	PROPN
ejpam-3409	134	20	(	(	PUNCT
ejpam-3409	134	21	u1(x	u1(x	PROPN
ejpam-3409	134	22	,	,	PUNCT
ejpam-3409	134	23	y	y	PROPN
ejpam-3409	134	24	,	,	PUNCT
ejpam-3409	134	25	t	t	PROPN
ejpam-3409	134	26	)	)	PUNCT
ejpam-3409	134	27	)	)	PUNCT
ejpam-3409	135	1	=	=	PUNCT
ejpam-3409	136	1	∫	∫	PROPN
ejpam-3409	136	2	t	t	PROPN
ejpam-3409	136	3	0	0	NUM
ejpam-3409	137	1	n	n	CCONJ
ejpam-3409	137	2	(	(	PUNCT
ejpam-3409	137	3	u1(x	u1(x	PROPN
ejpam-3409	137	4	,	,	PUNCT
ejpam-3409	137	5	y	y	PROPN
ejpam-3409	137	6	,	,	PUNCT
ejpam-3409	137	7	s	s	NOUN
ejpam-3409	137	8	)	)	PUNCT
ejpam-3409	137	9	)	)	PUNCT
ejpam-3409	138	1	ds	ds	PROPN
ejpam-3409	138	2	=	=	SYM
ejpam-3409	138	3	∫	∫	PROPN
ejpam-3409	138	4	t	t	PROPN
ejpam-3409	138	5	0	0	NUM
ejpam-3409	139	1	(	(	PUNCT
ejpam-3409	139	2	∂2	∂2	NUM
ejpam-3409	139	3	(	(	PUNCT
ejpam-3409	139	4	(	(	PUNCT
ejpam-3409	139	5	√	√	PROPN
ejpam-3409	139	6	cosx	cosx	PROPN
ejpam-3409	139	7	cosh	cosh	PROPN
ejpam-3409	139	8	y	y	PROPN
ejpam-3409	139	9	)	)	PUNCT
ejpam-3409	139	10	esh	esh	PROPN
ejpam-3409	139	11	)	)	PUNCT
ejpam-3409	139	12	2	2	NUM
ejpam-3409	139	13	∂x2	∂x2	NOUN
ejpam-3409	139	14	+	+	X
ejpam-3409	139	15	∂2	∂2	NOUN
ejpam-3409	139	16	(	(	PUNCT
ejpam-3409	139	17	(	(	PUNCT
ejpam-3409	139	18	√	√	PROPN
ejpam-3409	139	19	cosx	cosx	PROPN
ejpam-3409	139	20	cosh	cosh	PROPN
ejpam-3409	139	21	y	y	PROPN
ejpam-3409	139	22	)	)	PUNCT
ejpam-3409	139	23	esh	esh	PROPN
ejpam-3409	139	24	)	)	PUNCT
ejpam-3409	139	25	2	2	NUM
ejpam-3409	139	26	∂y2	∂y2	NUM
ejpam-3409	139	27	)	)	PUNCT
ejpam-3409	139	28	ds	ds	PROPN
ejpam-3409	139	29	=	=	SYM
ejpam-3409	139	30	∫	∫	PROPN
ejpam-3409	139	31	t	t	PROPN
ejpam-3409	139	32	0	0	NUM
ejpam-3409	139	33	e2sh	e2sh	PROPN
ejpam-3409	139	34	(	(	PUNCT
ejpam-3409	139	35	∂2	∂2	NUM
ejpam-3409	139	36	(	(	PUNCT
ejpam-3409	139	37	cosx	cosx	PROPN
ejpam-3409	139	38	cosh	cosh	PROPN
ejpam-3409	139	39	y	y	PROPN
ejpam-3409	139	40	)	)	PUNCT
ejpam-3409	139	41	∂x2	∂x2	NOUN
ejpam-3409	139	42	+	+	CCONJ
ejpam-3409	139	43	∂2	∂2	NOUN
ejpam-3409	139	44	(	(	PUNCT
ejpam-3409	139	45	cosx	cosx	PROPN
ejpam-3409	139	46	cosh	cosh	PROPN
ejpam-3409	139	47	y	y	PROPN
ejpam-3409	139	48	)	)	PUNCT
ejpam-3409	139	49	∂y2	∂y2	ADJ
ejpam-3409	139	50	)	)	PUNCT
ejpam-3409	139	51	ds	ds	PROPN
ejpam-3409	139	52	=	=	SYM
ejpam-3409	139	53	∫	∫	PROPN
ejpam-3409	139	54	t	t	PROPN
ejpam-3409	139	55	0	0	NUM
ejpam-3409	139	56	e2sh	e2sh	PUNCT
ejpam-3409	139	57	(	(	PUNCT
ejpam-3409	139	58	−	−	PROPN
ejpam-3409	139	59	cosx	cosx	PROPN
ejpam-3409	139	60	cosh	cosh	PROPN
ejpam-3409	139	61	y	y	PROPN
ejpam-3409	139	62	+	+	PROPN
ejpam-3409	139	63	cosx	cosx	PROPN
ejpam-3409	139	64	cosh	cosh	PROPN
ejpam-3409	139	65	y	y	PROPN
ejpam-3409	139	66	)	)	PUNCT
ejpam-3409	139	67	ds	ds	PROPN
ejpam-3409	139	68	=	=	SYM
ejpam-3409	139	69	0	0	NUM
ejpam-3409	139	70	(	(	PUNCT
ejpam-3409	139	71	38	38	NUM
ejpam-3409	139	72	)	)	PUNCT
ejpam-3409	139	73	from	from	ADP
ejpam-3409	139	74	(	(	PUNCT
ejpam-3409	139	75	35),we	35),we	NUM
ejpam-3409	139	76	obtain	obtain	VERB
ejpam-3409	139	77	:	:	PUNCT
ejpam-3409	139	78			NUM
ejpam-3409	139	79	u20(x	u20(x	NOUN
ejpam-3409	139	80	,	,	PUNCT
ejpam-3409	139	81	y	y	PROPN
ejpam-3409	139	82	,	,	PUNCT
ejpam-3409	139	83	t	t	PROPN
ejpam-3409	139	84	)	)	PUNCT
ejpam-3409	139	85	=	=	SYM
ejpam-3409	139	86	√	√	PROPN
ejpam-3409	139	87	cosx	cosx	PROPN
ejpam-3409	139	88	cosh	cosh	PROPN
ejpam-3409	139	89	y	y	PROPN
ejpam-3409	139	90	u21(x	u21(x	PROPN
ejpam-3409	139	91	,	,	PUNCT
ejpam-3409	139	92	y	y	PROPN
ejpam-3409	139	93	,	,	PUNCT
ejpam-3409	139	94	t	t	PROPN
ejpam-3409	139	95	)	)	PUNCT
ejpam-3409	139	96	=	=	SYM
ejpam-3409	139	97	(	(	PUNCT
ejpam-3409	139	98	th	th	NOUN
ejpam-3409	139	99	)	)	PUNCT
ejpam-3409	139	100	√	√	PROPN
ejpam-3409	139	101	cosx	cosx	PROPN
ejpam-3409	139	102	cosh	cosh	PROPN
ejpam-3409	139	103	y	y	PROPN
ejpam-3409	139	104	u22(x	u22(x	PROPN
ejpam-3409	139	105	,	,	PUNCT
ejpam-3409	139	106	y	y	PROPN
ejpam-3409	139	107	,	,	PUNCT
ejpam-3409	139	108	t	t	PROPN
ejpam-3409	139	109	)	)	PUNCT
ejpam-3409	139	110	=	=	SYM
ejpam-3409	139	111	1	1	NUM
ejpam-3409	139	112	2	2	NUM
ejpam-3409	139	113	!	!	PUNCT
ejpam-3409	139	114	(	(	PUNCT
ejpam-3409	139	115	th)2	th)2	NOUN
ejpam-3409	139	116	√	√	PROPN
ejpam-3409	139	117	cosx	cosx	PROPN
ejpam-3409	139	118	cosh	cosh	PROPN
ejpam-3409	139	119	y	y	PROPN
ejpam-3409	139	120	u23(x	u23(x	PROPN
ejpam-3409	139	121	,	,	PUNCT
ejpam-3409	139	122	y	y	PROPN
ejpam-3409	139	123	,	,	PUNCT
ejpam-3409	139	124	t	t	PROPN
ejpam-3409	139	125	)	)	PUNCT
ejpam-3409	139	126	=	=	SYM
ejpam-3409	139	127	1	1	NUM
ejpam-3409	139	128	3	3	NUM
ejpam-3409	139	129	!	!	PUNCT
ejpam-3409	139	130	(	(	PUNCT
ejpam-3409	139	131	th)3	th)3	NOUN
ejpam-3409	139	132	√	√	PROPN
ejpam-3409	139	133	cosx	cosx	PROPN
ejpam-3409	139	134	cosh	cosh	PROPN
ejpam-3409	139	135	y	y	PROPN
ejpam-3409	139	136	...	...	PUNCT
ejpam-3409	139	137	(	(	PUNCT
ejpam-3409	139	138	39	39	NUM
ejpam-3409	139	139	)	)	PUNCT
ejpam-3409	139	140	therefore	therefore	ADV
ejpam-3409	139	141	,	,	PUNCT
ejpam-3409	139	142	u2(x	u2(x	PRON
ejpam-3409	139	143	,	,	PUNCT
ejpam-3409	139	144	y	y	PROPN
ejpam-3409	139	145	,	,	PUNCT
ejpam-3409	139	146	t	t	PROPN
ejpam-3409	139	147	)	)	PUNCT
ejpam-3409	139	148	=	=	SYM
ejpam-3409	140	1	u20(x	u20(x	NOUN
ejpam-3409	140	2	,	,	PUNCT
ejpam-3409	140	3	y	y	PROPN
ejpam-3409	140	4	,	,	PUNCT
ejpam-3409	140	5	t	t	PROPN
ejpam-3409	140	6	)	)	PUNCT
ejpam-3409	141	1	+	+	CCONJ
ejpam-3409	141	2	u21(x	u21(x	ADJ
ejpam-3409	141	3	,	,	PUNCT
ejpam-3409	141	4	y	y	PROPN
ejpam-3409	141	5	,	,	PUNCT
ejpam-3409	141	6	t	t	PROPN
ejpam-3409	141	7	)	)	PUNCT
ejpam-3409	141	8	+	+	CCONJ
ejpam-3409	141	9	u22(x	u22(x	PROPN
ejpam-3409	141	10	,	,	PUNCT
ejpam-3409	141	11	y	y	PROPN
ejpam-3409	141	12	,	,	PUNCT
ejpam-3409	141	13	t	t	PROPN
ejpam-3409	141	14	)	)	PUNCT
ejpam-3409	141	15	+	+	X
ejpam-3409	141	16	·	·	PUNCT
ejpam-3409	141	17	·	·	PUNCT
ejpam-3409	141	18	·	·	PUNCT
ejpam-3409	142	1	=	=	PUNCT
ejpam-3409	142	2	(	(	PUNCT
ejpam-3409	142	3	1	1	NUM
ejpam-3409	142	4	+	+	CCONJ
ejpam-3409	142	5	(	(	PUNCT
ejpam-3409	142	6	th	th	NOUN
ejpam-3409	142	7	)	)	PUNCT
ejpam-3409	142	8	+	+	CCONJ
ejpam-3409	142	9	1	1	NUM
ejpam-3409	142	10	2	2	NUM
ejpam-3409	142	11	!	!	PUNCT
ejpam-3409	143	1	(	(	PUNCT
ejpam-3409	143	2	th)2	th)2	NOUN
ejpam-3409	143	3	+	+	CCONJ
ejpam-3409	143	4	1	1	NUM
ejpam-3409	143	5	3	3	NUM
ejpam-3409	143	6	!	!	PUNCT
ejpam-3409	143	7	(	(	PUNCT
ejpam-3409	143	8	th)3	th)3	NOUN
ejpam-3409	143	9	+	+	PROPN
ejpam-3409	143	10	·	·	PUNCT
ejpam-3409	143	11	·	·	PUNCT
ejpam-3409	143	12	·	·	PUNCT
ejpam-3409	143	13	)	)	PUNCT
ejpam-3409	144	1	√	√	PROPN
ejpam-3409	144	2	cosx	cosx	PROPN
ejpam-3409	144	3	cosh	cosh	PROPN
ejpam-3409	144	4	y	y	PROPN
ejpam-3409	144	5	=	=	PRON
ejpam-3409	144	6	(	(	PUNCT
ejpam-3409	144	7	√	√	PROPN
ejpam-3409	144	8	cosx	cosx	PROPN
ejpam-3409	144	9	cosh	cosh	PROPN
ejpam-3409	144	10	y	y	PROPN
ejpam-3409	144	11	)	)	PUNCT
ejpam-3409	144	12	eth	eth	PROPN
ejpam-3409	144	13	(	(	PUNCT
ejpam-3409	144	14	40	40	NUM
ejpam-3409	144	15	)	)	PUNCT
ejpam-3409	144	16	using	use	VERB
ejpam-3409	144	17	the	the	DET
ejpam-3409	144	18	procedure	procedure	NOUN
ejpam-3409	144	19	for	for	ADP
ejpam-3409	144	20	k	k	PROPN
ejpam-3409	144	21	≥	≥	PROPN
ejpam-3409	144	22	3	3	NUM
ejpam-3409	144	23	,	,	PUNCT
ejpam-3409	144	24	the	the	DET
ejpam-3409	144	25	solution	solution	NOUN
ejpam-3409	144	26	to	to	ADP
ejpam-3409	144	27	the	the	DET
ejpam-3409	144	28	k	k	PROPN
ejpam-3409	144	29	step	step	NOUN
ejpam-3409	144	30	is	be	AUX
ejpam-3409	144	31	uk(x	uk(x	ADV
ejpam-3409	144	32	,	,	PUNCT
ejpam-3409	144	33	y	y	PROPN
ejpam-3409	144	34	,	,	PUNCT
ejpam-3409	144	35	t	t	PROPN
ejpam-3409	144	36	)	)	PUNCT
ejpam-3409	144	37	=	=	SYM
ejpam-3409	145	1	uk0(x	uk0(x	NOUN
ejpam-3409	145	2	,	,	PUNCT
ejpam-3409	145	3	y	y	PROPN
ejpam-3409	145	4	,	,	PUNCT
ejpam-3409	145	5	t	t	PROPN
ejpam-3409	145	6	)	)	PUNCT
ejpam-3409	146	1	+	+	X
ejpam-3409	146	2	uk1(x	uk1(x	PROPN
ejpam-3409	146	3	,	,	PUNCT
ejpam-3409	146	4	y	y	PROPN
ejpam-3409	146	5	,	,	PUNCT
ejpam-3409	146	6	t	t	PROPN
ejpam-3409	146	7	)	)	PUNCT
ejpam-3409	146	8	+	+	CCONJ
ejpam-3409	147	1	uk2(x	uk2(x	PROPN
ejpam-3409	147	2	,	,	PUNCT
ejpam-3409	147	3	y	y	PROPN
ejpam-3409	147	4	,	,	PUNCT
ejpam-3409	147	5	t	t	PROPN
ejpam-3409	147	6	)	)	PUNCT
ejpam-3409	147	7	+	+	X
ejpam-3409	147	8	·	·	PUNCT
ejpam-3409	147	9	·	·	PUNCT
ejpam-3409	147	10	·	·	PUNCT
ejpam-3409	148	1	=	=	PUNCT
ejpam-3409	148	2	(	(	PUNCT
ejpam-3409	148	3	1	1	NUM
ejpam-3409	148	4	+	+	CCONJ
ejpam-3409	148	5	(	(	PUNCT
ejpam-3409	148	6	th	th	NOUN
ejpam-3409	148	7	)	)	PUNCT
ejpam-3409	148	8	+	+	CCONJ
ejpam-3409	148	9	1	1	NUM
ejpam-3409	148	10	2	2	NUM
ejpam-3409	148	11	!	!	PUNCT
ejpam-3409	149	1	(	(	PUNCT
ejpam-3409	149	2	th)2	th)2	NOUN
ejpam-3409	149	3	+	+	CCONJ
ejpam-3409	149	4	1	1	NUM
ejpam-3409	149	5	3	3	NUM
ejpam-3409	149	6	!	!	PUNCT
ejpam-3409	149	7	(	(	PUNCT
ejpam-3409	149	8	th)3	th)3	NOUN
ejpam-3409	149	9	+	+	PROPN
ejpam-3409	149	10	·	·	PUNCT
ejpam-3409	149	11	·	·	PUNCT
ejpam-3409	149	12	·	·	PUNCT
ejpam-3409	149	13	)	)	PUNCT
ejpam-3409	150	1	√	√	PROPN
ejpam-3409	150	2	cosx	cosx	PROPN
ejpam-3409	150	3	cosh	cosh	PROPN
ejpam-3409	150	4	y	y	PROPN
ejpam-3409	150	5	=	=	PUNCT
ejpam-3409	150	6	eth	eth	PROPN
ejpam-3409	150	7	√	√	PROPN
ejpam-3409	150	8	cosx	cosx	PROPN
ejpam-3409	150	9	cosh	cosh	PROPN
ejpam-3409	150	10	y	y	PROPN
ejpam-3409	150	11	(	(	PUNCT
ejpam-3409	150	12	41	41	NUM
ejpam-3409	150	13	)	)	PUNCT
ejpam-3409	150	14	so	so	SCONJ
ejpam-3409	150	15	the	the	DET
ejpam-3409	150	16	exact	exact	ADJ
ejpam-3409	150	17	solution	solution	NOUN
ejpam-3409	150	18	of	of	ADP
ejpam-3409	150	19	equation	equation	NOUN
ejpam-3409	150	20	(	(	PUNCT
ejpam-3409	150	21	30	30	NUM
ejpam-3409	150	22	)	)	PUNCT
ejpam-3409	150	23	with	with	ADP
ejpam-3409	150	24	initial	initial	ADJ
ejpam-3409	150	25	boundaries	boundary	NOUN
ejpam-3409	150	26	u(x	u(x	PROPN
ejpam-3409	150	27	,	,	PUNCT
ejpam-3409	150	28	y	y	PROPN
ejpam-3409	150	29	,	,	PUNCT
ejpam-3409	150	30	0	0	NUM
ejpam-3409	150	31	)	)	PUNCT
ejpam-3409	150	32	=	=	SYM
ejpam-3409	151	1	√	√	PROPN
ejpam-3409	151	2	cosx	cosx	PROPN
ejpam-3409	151	3	cosh	cosh	PROPN
ejpam-3409	151	4	y	y	PROPN
ejpam-3409	151	5	is	be	AUX
ejpam-3409	151	6	u(x	u(x	NOUN
ejpam-3409	151	7	,	,	PUNCT
ejpam-3409	151	8	y	y	PROPN
ejpam-3409	151	9	,	,	PUNCT
ejpam-3409	151	10	t	t	PROPN
ejpam-3409	151	11	)	)	PUNCT
ejpam-3409	152	1	=	=	VERB
ejpam-3409	152	2	lim	lim	PROPN
ejpam-3409	152	3	k→+∞	k→+∞	PROPN
ejpam-3409	152	4	uk(x	uk(x	ADP
ejpam-3409	152	5	,	,	PUNCT
ejpam-3409	152	6	y	y	PROPN
ejpam-3409	152	7	,	,	PUNCT
ejpam-3409	152	8	t	t	PROPN
ejpam-3409	152	9	)	)	PUNCT
ejpam-3409	152	10	=	=	VERB
ejpam-3409	152	11	eth	eth	NOUN
ejpam-3409	152	12	√	√	PROPN
ejpam-3409	152	13	cosx	cosx	PROPN
ejpam-3409	152	14	cosh	cosh	PROPN
ejpam-3409	152	15	y	y	PROPN
ejpam-3409	152	16	(	(	PUNCT
ejpam-3409	152	17	42	42	NUM
ejpam-3409	152	18	)	)	PUNCT
ejpam-3409	152	19	references	reference	NOUN
ejpam-3409	152	20	1104	1104	NUM
ejpam-3409	152	21	3	3	NUM
ejpam-3409	152	22	.	.	X
ejpam-3409	152	23	conclusion	conclusion	NOUN
ejpam-3409	152	24	the	the	DET
ejpam-3409	152	25	sba	sba	PROPN
ejpam-3409	152	26	numerical	numerical	PROPN
ejpam-3409	152	27	method	method	PROPN
ejpam-3409	152	28	permitted	permit	VERB
ejpam-3409	152	29	us	we	PRON
ejpam-3409	152	30	to	to	PART
ejpam-3409	152	31	resolve	resolve	VERB
ejpam-3409	152	32	a	a	DET
ejpam-3409	152	33	few	few	ADJ
ejpam-3409	152	34	nonlinear	nonlinear	ADJ
ejpam-3409	152	35	partial	partial	ADJ
ejpam-3409	152	36	differential	differential	NOUN
ejpam-3409	152	37	equations	equation	NOUN
ejpam-3409	152	38	modelling	model	VERB
ejpam-3409	152	39	diffusion	diffusion	NOUN
ejpam-3409	152	40	,	,	PUNCT
ejpam-3409	152	41	convection	convection	NOUN
ejpam-3409	152	42	,	,	PUNCT
ejpam-3409	152	43	reaction	reaction	NOUN
ejpam-3409	152	44	problems	problem	NOUN
ejpam-3409	152	45	cauchy	cauchy	PROPN
ejpam-3409	152	46	type	type	NOUN
ejpam-3409	152	47	.	.	PUNCT
ejpam-3409	153	1	the	the	DET
ejpam-3409	153	2	sba	sba	PROPN
ejpam-3409	153	3	method	method	NOUN
ejpam-3409	153	4	permitted	permit	VERB
ejpam-3409	153	5	us	we	PRON
ejpam-3409	153	6	to	to	PART
ejpam-3409	153	7	resolve	resolve	VERB
ejpam-3409	153	8	the	the	DET
ejpam-3409	153	9	problems	problem	NOUN
ejpam-3409	153	10	proposed	propose	VERB
ejpam-3409	153	11	in	in	ADP
ejpam-3409	153	12	this	this	DET
ejpam-3409	153	13	paper	paper	NOUN
ejpam-3409	153	14	.	.	PUNCT
ejpam-3409	154	1	it	it	PRON
ejpam-3409	154	2	is	be	AUX
ejpam-3409	154	3	then	then	ADV
ejpam-3409	154	4	a	a	DET
ejpam-3409	154	5	very	very	ADV
ejpam-3409	154	6	powerful	powerful	ADJ
ejpam-3409	154	7	numerical	numerical	ADJ
ejpam-3409	154	8	tool	tool	NOUN
ejpam-3409	154	9	of	of	ADP
ejpam-3409	154	10	analysis	analysis	NOUN
ejpam-3409	154	11	for	for	ADP
ejpam-3409	154	12	the	the	DET
ejpam-3409	154	13	resolution	resolution	NOUN
ejpam-3409	154	14	of	of	ADP
ejpam-3409	154	15	these	these	DET
ejpam-3409	154	16	kinds	kind	NOUN
ejpam-3409	154	17	of	of	ADP
ejpam-3409	154	18	problems	problem	NOUN
ejpam-3409	154	19	.	.	PUNCT
ejpam-3409	155	1	references	reference	NOUN
ejpam-3409	155	2	[	[	X
ejpam-3409	155	3	1	1	NUM
ejpam-3409	155	4	]	]	PUNCT
ejpam-3409	155	5	k.	k.	PROPN
ejpam-3409	155	6	abbaoui	abbaoui	PROPN
ejpam-3409	155	7	.	.	PUNCT
ejpam-3409	156	1	les	les	PROPN
ejpam-3409	156	2	fondements	fondements	PROPN
ejpam-3409	156	3	de	de	X
ejpam-3409	156	4	la	la	X
ejpam-3409	156	5	méthode	méthode	PROPN
ejpam-3409	156	6	décompositionnelle	décompositionnelle	AUX
ejpam-3409	156	7	dadomian	dadomian	VERB
ejpam-3409	156	8	et	et	NOUN
ejpam-3409	156	9	application	application	NOUN
ejpam-3409	156	10	à	à	PROPN
ejpam-3409	156	11	la	la	PROPN
ejpam-3409	156	12	résolution	résolution	PROPN
ejpam-3409	156	13	de	de	X
ejpam-3409	156	14	problèmes	problèmes	PROPN
ejpam-3409	156	15	issus	issus	PROPN
ejpam-3409	156	16	de	de	PROPN
ejpam-3409	156	17	la	la	PROPN
ejpam-3409	156	18	biologie	biologie	X
ejpam-3409	156	19	et	et	PROPN
ejpam-3409	156	20	de	de	PROPN
ejpam-3409	156	21	la	la	PROPN
ejpam-3409	156	22	médécine	médécine	PROPN
ejpam-3409	156	23	.	.	PUNCT
ejpam-3409	157	1	phd	phd	NOUN
ejpam-3409	157	2	thesis	thesis	PROPN
ejpam-3409	157	3	,	,	PUNCT
ejpam-3409	157	4	université	université	NOUN
ejpam-3409	157	5	paris	paris	PROPN
ejpam-3409	157	6	vi	vi	PROPN
ejpam-3409	157	7	,	,	PUNCT
ejpam-3409	157	8	1995	1995	NUM
ejpam-3409	157	9	.	.	PUNCT
ejpam-3409	158	1	[	[	X
ejpam-3409	158	2	2	2	NUM
ejpam-3409	158	3	]	]	X
ejpam-3409	158	4	abbasbandy	abbasbandy	ADJ
ejpam-3409	158	5	and	and	CCONJ
ejpam-3409	158	6	e.shivanian	e.shivanian	ADJ
ejpam-3409	158	7	.	.	PUNCT
ejpam-3409	159	1	numerical	numerical	PROPN
ejpam-3409	159	2	simulation	simulation	PROPN
ejpam-3409	159	3	based	base	VERB
ejpam-3409	159	4	on	on	ADP
ejpam-3409	159	5	meshless	meshless	ADJ
ejpam-3409	159	6	technique	technique	NOUN
ejpam-3409	159	7	to	to	PART
ejpam-3409	159	8	study	study	VERB
ejpam-3409	159	9	the	the	DET
ejpam-3409	159	10	biological	biological	ADJ
ejpam-3409	159	11	population	population	NOUN
ejpam-3409	159	12	model	model	NOUN
ejpam-3409	159	13	.	.	PUNCT
ejpam-3409	160	1	math	math	PROPN
ejpam-3409	160	2	sci	sci	PROPN
ejpam-3409	160	3	,	,	PUNCT
ejpam-3409	160	4	10(3):123–130	10(3):123–130	PROPN
ejpam-3409	160	5	,	,	PUNCT
ejpam-3409	160	6	2016	2016	NUM
ejpam-3409	160	7	.	.	PUNCT
ejpam-3409	161	1	[	[	X
ejpam-3409	161	2	3	3	X
ejpam-3409	161	3	]	]	X
ejpam-3409	161	4	g.	g.	NOUN
ejpam-3409	161	5	adomian	adomian	PROPN
ejpam-3409	161	6	.	.	PUNCT
ejpam-3409	162	1	solving	solve	VERB
ejpam-3409	162	2	frontier	frontier	NOUN
ejpam-3409	162	3	problems	problem	NOUN
ejpam-3409	162	4	of	of	ADP
ejpam-3409	162	5	physics	physics	NOUN
ejpam-3409	162	6	:	:	PUNCT
ejpam-3409	162	7	the	the	DET
ejpam-3409	162	8	decomposition	decomposition	NOUN
ejpam-3409	162	9	method	method	NOUN
ejpam-3409	162	10	.	.	PUNCT
ejpam-3409	162	11	1994	1994	NUM
ejpam-3409	162	12	.	.	PUNCT
ejpam-3409	163	1	[	[	X
ejpam-3409	163	2	4	4	X
ejpam-3409	163	3	]	]	X
ejpam-3409	163	4	g.	g.	NOUN
ejpam-3409	163	5	bissanga	bissanga	PROPN
ejpam-3409	163	6	and	and	CCONJ
ejpam-3409	163	7	joseph	joseph	PROPN
ejpam-3409	163	8	bonazebi	bonazebi	PROPN
ejpam-3409	163	9	yindoula	yindoula	PROPN
ejpam-3409	163	10	.	.	PUNCT
ejpam-3409	164	1	a	a	DET
ejpam-3409	164	2	new	new	ADJ
ejpam-3409	164	3	approach	approach	NOUN
ejpam-3409	164	4	of	of	ADP
ejpam-3409	164	5	construction	construction	NOUN
ejpam-3409	164	6	of	of	ADP
ejpam-3409	164	7	adomian	adomian	ADJ
ejpam-3409	164	8	algorithm	algorithm	NOUN
ejpam-3409	164	9	application	application	NOUN
ejpam-3409	164	10	of	of	ADP
ejpam-3409	164	11	the	the	DET
ejpam-3409	164	12	adomian	adomian	NOUN
ejpam-3409	164	13	decomposition	decomposition	NOUN
ejpam-3409	164	14	method	method	NOUN
ejpam-3409	164	15	(	(	PUNCT
ejpam-3409	164	16	adm	adm	PROPN
ejpam-3409	164	17	)	)	PUNCT
ejpam-3409	164	18	and	and	CCONJ
ejpam-3409	164	19	the	the	DET
ejpam-3409	164	20	some	some	DET
ejpam-3409	164	21	blaise	blaise	PROPN
ejpam-3409	164	22	abbo	abbo	NOUN
ejpam-3409	164	23	(	(	PUNCT
ejpam-3409	164	24	sba	sba	PROPN
ejpam-3409	164	25	)	)	PUNCT
ejpam-3409	164	26	method	method	NOUN
ejpam-3409	164	27	to	to	ADP
ejpam-3409	164	28	solving	solve	VERB
ejpam-3409	164	29	the	the	DET
ejpam-3409	164	30	convection	convection	NOUN
ejpam-3409	164	31	equation	equation	NOUN
ejpam-3409	164	32	.	.	PUNCT
ejpam-3409	165	1	advances	advance	NOUN
ejpam-3409	165	2	in	in	ADP
ejpam-3409	165	3	theoretical	theoretical	ADJ
ejpam-3409	165	4	and	and	CCONJ
ejpam-3409	165	5	applied	applied	ADJ
ejpam-3409	165	6	mathematics	mathematic	NOUN
ejpam-3409	165	7	,	,	PUNCT
ejpam-3409	165	8	13(2):127–138	13(2):127–138	PROPN
ejpam-3409	165	9	,	,	PUNCT
ejpam-3409	165	10	2015	2015	NUM
ejpam-3409	165	11	.	.	PUNCT
ejpam-3409	166	1	[	[	X
ejpam-3409	166	2	5	5	NUM
ejpam-3409	166	3	]	]	X
ejpam-3409	166	4	georges	georges	PROPN
ejpam-3409	166	5	bouligand	bouligand	PROPN
ejpam-3409	166	6	.	.	PUNCT
ejpam-3409	167	1	fonctions	fonction	NOUN
ejpam-3409	167	2	harmoniques	harmonique	NOUN
ejpam-3409	167	3	.	.	PUNCT
ejpam-3409	168	1	principes	principe	NOUN
ejpam-3409	168	2	de	de	PROPN
ejpam-3409	168	3	picard	picard	PROPN
ejpam-3409	168	4	et	et	PROPN
ejpam-3409	168	5	de	de	PROPN
ejpam-3409	168	6	dirichlet	dirichlet	PROPN
ejpam-3409	168	7	.	.	PUNCT
ejpam-3409	168	8	1926	1926	NUM
ejpam-3409	168	9	.	.	PUNCT
ejpam-3409	169	1	[	[	X
ejpam-3409	169	2	6	6	NUM
ejpam-3409	169	3	]	]	PUNCT
ejpam-3409	169	4	salih	salih	PROPN
ejpam-3409	169	5	m.elzaki	m.elzaki	NOUN
ejpam-3409	169	6	.	.	PUNCT
ejpam-3409	170	1	exact	exact	ADJ
ejpam-3409	170	2	solution	solution	NOUN
ejpam-3409	170	3	of	of	ADP
ejpam-3409	170	4	nonlinear	nonlinear	ADJ
ejpam-3409	170	5	time	time	NOUN
ejpam-3409	170	6	fractional	fractional	ADJ
ejpam-3409	170	7	biological	biological	ADJ
ejpam-3409	170	8	population	population	NOUN
ejpam-3409	170	9	equation	equation	NOUN
ejpam-3409	170	10	.	.	PUNCT
ejpam-3409	171	1	international	international	ADJ
ejpam-3409	171	2	journal	journal	NOUN
ejpam-3409	171	3	of	of	ADP
ejpam-3409	171	4	advanced	advanced	ADJ
ejpam-3409	171	5	research	research	NOUN
ejpam-3409	171	6	in	in	ADP
ejpam-3409	171	7	science	science	NOUN
ejpam-3409	171	8	engineering	engineering	NOUN
ejpam-3409	171	9	and	and	CCONJ
ejpam-3409	171	10	technology	technology	NOUN
ejpam-3409	171	11	,	,	PUNCT
ejpam-3409	171	12	1(3):829–838	1(3):829–838	NUM
ejpam-3409	171	13	,	,	PUNCT
ejpam-3409	171	14	2014	2014	NUM
ejpam-3409	171	15	.	.	PUNCT
ejpam-3409	172	1	[	[	X
ejpam-3409	172	2	7	7	X
ejpam-3409	172	3	]	]	SYM
ejpam-3409	172	4	pare.youssouf	pare.youssouf	PROPN
ejpam-3409	172	5	,	,	PUNCT
ejpam-3409	172	6	yaro.rasmane	yaro.rasmane	PROPN
ejpam-3409	172	7	elysée	elysée	NOUN
ejpam-3409	172	8	,	,	PUNCT
ejpam-3409	172	9	and	and	CCONJ
ejpam-3409	172	10	gouba	gouba	VERB
ejpam-3409	172	11	some	some	DET
ejpam-3409	172	12	blaise	blaise	NOUN
ejpam-3409	172	13	.	.	PUNCT
ejpam-3409	173	1	solving	solve	VERB
ejpam-3409	173	2	a	a	DET
ejpam-3409	173	3	system	system	NOUN
ejpam-3409	173	4	of	of	ADP
ejpam-3409	173	5	nonlinear	nonlinear	ADJ
ejpam-3409	173	6	equations	equation	NOUN
ejpam-3409	173	7	second	second	ADJ
ejpam-3409	173	8	kind	kind	NOUN
ejpam-3409	173	9	of	of	ADP
ejpam-3409	173	10	volterra	volterra	NOUN
ejpam-3409	173	11	by	by	ADP
ejpam-3409	173	12	the	the	DET
ejpam-3409	173	13	sba	sba	PROPN
ejpam-3409	173	14	method	method	NOUN
ejpam-3409	173	15	.	.	PUNCT
ejpam-3409	174	1	far	far	ADV
ejpam-3409	174	2	east.j.appl.math	east.j.appl.math	NUM
ejpam-3409	174	3	,	,	PUNCT
ejpam-3409	174	4	71(1):43–54	71(1):43–54	NUM
ejpam-3409	174	5	,	,	PUNCT
ejpam-3409	174	6	2012	2012	NUM
ejpam-3409	174	7	.	.	PUNCT
ejpam-3409	175	1	[	[	X
ejpam-3409	175	2	8	8	X
ejpam-3409	175	3	]	]	X
ejpam-3409	175	4	p	p	PROPN
ejpam-3409	175	5	roul	roul	NOUN
ejpam-3409	175	6	.	.	PUNCT
ejpam-3409	176	1	application	application	NOUN
ejpam-3409	176	2	of	of	ADP
ejpam-3409	176	3	homotopy	homotopy	NOUN
ejpam-3409	176	4	perturbation	perturbation	NOUN
ejpam-3409	176	5	method	method	NOUN
ejpam-3409	176	6	to	to	ADP
ejpam-3409	176	7	biological	biological	ADJ
ejpam-3409	176	8	polpulation	polpulation	NOUN
ejpam-3409	176	9	model	model	NOUN
ejpam-3409	176	10	.	.	PUNCT
ejpam-3409	177	1	application	application	NOUN
ejpam-3409	177	2	and	and	CCONJ
ejpam-3409	177	3	applied	apply	VERB
ejpam-3409	177	4	mathematics	mathematic	NOUN
ejpam-3409	177	5	and	and	CCONJ
ejpam-3409	177	6	international	international	ADJ
ejpam-3409	177	7	journal	journal	NOUN
ejpam-3409	177	8	,	,	PUNCT
ejpam-3409	177	9	5(2):272	5(2):272	NUM
ejpam-3409	177	10	–	–	PUNCT
ejpam-3409	177	11	281	281	NUM
ejpam-3409	177	12	,	,	PUNCT
ejpam-3409	177	13	2010	2010	NUM
ejpam-3409	177	14	.	.	PUNCT
ejpam-3409	178	1	[	[	X
ejpam-3409	178	2	9	9	NUM
ejpam-3409	178	3	]	]	X
ejpam-3409	178	4	p.	p.	PROPN
ejpam-3409	178	5	roul	roul	PROPN
ejpam-3409	178	6	.	.	PUNCT
ejpam-3409	179	1	application	application	NOUN
ejpam-3409	179	2	of	of	ADP
ejpam-3409	179	3	homotopy	homotopy	NOUN
ejpam-3409	179	4	perturbation	perturbation	NOUN
ejpam-3409	179	5	method	method	NOUN
ejpam-3409	179	6	to	to	ADP
ejpam-3409	179	7	biological	biological	ADJ
ejpam-3409	179	8	population	population	NOUN
ejpam-3409	179	9	model	model	NOUN
ejpam-3409	179	10	.	.	PUNCT
ejpam-3409	180	1	applications	application	NOUN
ejpam-3409	180	2	and	and	CCONJ
ejpam-3409	180	3	applied	apply	VERB
ejpam-3409	180	4	mathematics	mathematic	NOUN
ejpam-3409	180	5	,	,	PUNCT
ejpam-3409	180	6	10(3):1369–1378	10(3):1369–1378	NUM
ejpam-3409	180	7	,	,	PUNCT
ejpam-3409	180	8	2010	2010	NUM
ejpam-3409	180	9	.	.	PUNCT
ejpam-3409	181	1	[	[	X
ejpam-3409	181	2	10	10	NUM
ejpam-3409	181	3	]	]	X
ejpam-3409	181	4	f.	f.	PROPN
ejpam-3409	181	5	shakeri	shakeri	PROPN
ejpam-3409	181	6	and	and	CCONJ
ejpam-3409	181	7	m.	m.	PROPN
ejpam-3409	181	8	dehghan	dehghan	PROPN
ejpam-3409	181	9	.	.	PUNCT
ejpam-3409	182	1	numerical	numerical	ADJ
ejpam-3409	182	2	solution	solution	NOUN
ejpam-3409	182	3	of	of	ADP
ejpam-3409	182	4	a	a	DET
ejpam-3409	182	5	biological	biological	ADJ
ejpam-3409	182	6	population	population	NOUN
ejpam-3409	182	7	model	model	NOUN
ejpam-3409	182	8	using	use	VERB
ejpam-3409	182	9	he	he	PRON
ejpam-3409	182	10	’s	’s	PART
ejpam-3409	182	11	variational	variational	ADJ
ejpam-3409	182	12	iteration	iteration	NOUN
ejpam-3409	182	13	method	method	NOUN
ejpam-3409	182	14	.	.	PUNCT
ejpam-3409	183	1	computers	computer	NOUN
ejpam-3409	183	2	and	and	CCONJ
ejpam-3409	183	3	mathematics	mathematic	NOUN
ejpam-3409	183	4	with	with	ADP
ejpam-3409	183	5	applications	application	NOUN
ejpam-3409	183	6	,	,	PUNCT
ejpam-3409	183	7	54(2):1197–1209	54(2):1197–1209	PROPN
ejpam-3409	183	8	,	,	PUNCT
ejpam-3409	183	9	2007	2007	NUM
ejpam-3409	183	10	.	.	PUNCT
ejpam-3409	184	1	[	[	X
ejpam-3409	184	2	11	11	NUM
ejpam-3409	184	3	]	]	X
ejpam-3409	184	4	v.k	v.k	PROPN
ejpam-3409	184	5	srivastava	srivastava	PROPN
ejpam-3409	184	6	,	,	PUNCT
ejpam-3409	184	7	s.kumar	s.kumar	PROPN
ejpam-3409	184	8	,	,	PUNCT
ejpam-3409	184	9	m.k.awasthi	m.k.awasthi	NOUN
ejpam-3409	184	10	,	,	PUNCT
ejpam-3409	184	11	and	and	CCONJ
ejpam-3409	184	12	b.k	b.k	INTJ
ejpam-3409	184	13	singh	singh	NOUN
ejpam-3409	184	14	.	.	PUNCT
ejpam-3409	185	1	two	two	NUM
ejpam-3409	185	2	dimensional	dimensional	ADJ
ejpam-3409	185	3	time	time	NOUN
ejpam-3409	185	4	fractional	fractional	ADJ
ejpam-3409	185	5	biological	biological	ADJ
ejpam-3409	185	6	population	population	NOUN
ejpam-3409	185	7	model	model	NOUN
ejpam-3409	185	8	and	and	CCONJ
ejpam-3409	185	9	its	its	PRON
ejpam-3409	185	10	analytical	analytical	ADJ
ejpam-3409	185	11	solution	solution	NOUN
ejpam-3409	185	12	.	.	PUNCT
ejpam-3409	186	1	egyptian	egyptian	PROPN
ejpam-3409	186	2	j.	j.	PROPN
ejpam-3409	186	3	basic	basic	PROPN
ejpam-3409	186	4	appl.sci	appl.sci	PROPN
ejpam-3409	186	5	,	,	PUNCT
ejpam-3409	186	6	17(1):71–76	17(1):71–76	NUM
ejpam-3409	186	7	,	,	PUNCT
ejpam-3409	186	8	2014	2014	NUM
ejpam-3409	186	9	.	.	PUNCT
ejpam-3409	187	1	references	reference	NOUN
ejpam-3409	187	2	1105	1105	NUM
ejpam-3409	188	1	[	[	X
ejpam-3409	188	2	12	12	NUM
ejpam-3409	188	3	]	]	PUNCT
ejpam-3409	188	4	v.g.gupta	v.g.gupta	NOUN
ejpam-3409	188	5	and	and	CCONJ
ejpam-3409	188	6	p.kumar	p.kumar	ADJ
ejpam-3409	188	7	.	.	NOUN
ejpam-3409	188	8	approximate	approximate	ADJ
ejpam-3409	188	9	solutions	solution	NOUN
ejpam-3409	188	10	of	of	ADP
ejpam-3409	188	11	fractional	fractional	ADJ
ejpam-3409	188	12	biological	biological	ADJ
ejpam-3409	188	13	population	population	NOUN
ejpam-3409	188	14	model	model	NOUN
ejpam-3409	188	15	by	by	ADP
ejpam-3409	188	16	homotopy	homotopy	NOUN
ejpam-3409	188	17	analysis	analysis	NOUN
ejpam-3409	188	18	sumudu	sumudu	NOUN
ejpam-3409	188	19	transform	transform	NOUN
ejpam-3409	188	20	method	method	NOUN
ejpam-3409	188	21	.	.	PUNCT
ejpam-3409	189	1	international	international	ADJ
ejpam-3409	189	2	journal	journal	PROPN
ejpam-3409	189	3	of	of	ADP
ejpam-3409	189	4	science	science	NOUN
ejpam-3409	189	5	and	and	CCONJ
ejpam-3409	189	6	research	research	NOUN
ejpam-3409	189	7	,	,	PUNCT
ejpam-3409	189	8	10(5):14–23	10(5):14–23	NUM
ejpam-3409	189	9	,	,	PUNCT
ejpam-3409	189	10	2015	2015	NUM
ejpam-3409	189	11	.	.	PUNCT
ejpam-3409	190	1	[	[	X
ejpam-3409	190	2	13	13	NUM
ejpam-3409	190	3	]	]	PUNCT
ejpam-3409	190	4	e.	e.	PROPN
ejpam-3409	190	5	yee	yee	PROPN
ejpam-3409	190	6	.	.	PUNCT
ejpam-3409	191	1	application	application	NOUN
ejpam-3409	191	2	of	of	ADP
ejpam-3409	191	3	the	the	DET
ejpam-3409	191	4	decomposition	decomposition	NOUN
ejpam-3409	191	5	method	method	NOUN
ejpam-3409	191	6	to	to	ADP
ejpam-3409	191	7	the	the	DET
ejpam-3409	191	8	solution	solution	NOUN
ejpam-3409	191	9	of	of	ADP
ejpam-3409	191	10	the	the	DET
ejpam-3409	191	11	reaction	reaction	NOUN
ejpam-3409	191	12	convection	convection	NOUN
ejpam-3409	191	13	diffusion	diffusion	NOUN
ejpam-3409	191	14	equation	equation	NOUN
ejpam-3409	191	15	.	.	PUNCT
ejpam-3409	192	1	applied	apply	VERB
ejpam-3409	192	2	mathematics	mathematic	NOUN
ejpam-3409	192	3	and	and	CCONJ
ejpam-3409	192	4	computation	computation	NOUN
ejpam-3409	192	5	,	,	PUNCT
ejpam-3409	192	6	56(1):1–27	56(1):1–27	NUM
ejpam-3409	192	7	,	,	PUNCT
ejpam-3409	192	8	1993	1993	NUM
ejpam-3409	192	9	.	.	PUNCT
ejpam-3409	193	1	[	[	X
ejpam-3409	193	2	14	14	NUM
ejpam-3409	193	3	]	]	X
ejpam-3409	193	4	joseph	joseph	PROPN
ejpam-3409	193	5	bonazebi	bonazebi	PROPN
ejpam-3409	193	6	yindoula	yindoula	PROPN
ejpam-3409	193	7	,	,	PUNCT
ejpam-3409	193	8	gabriel	gabriel	PROPN
ejpam-3409	193	9	bissanga	bissanga	PROPN
ejpam-3409	193	10	,	,	PUNCT
ejpam-3409	193	11	pare	pare	PROPN
ejpam-3409	193	12	youssouf	youssouf	PROPN
ejpam-3409	193	13	,	,	PUNCT
ejpam-3409	193	14	francis	francis	PROPN
ejpam-3409	193	15	bassono	bassono	PROPN
ejpam-3409	193	16	,	,	PUNCT
ejpam-3409	193	17	and	and	CCONJ
ejpam-3409	193	18	blaise	blaise	PROPN
ejpam-3409	193	19	some	some	PRON
ejpam-3409	193	20	.	.	PUNCT
ejpam-3409	194	1	application	application	NOUN
ejpam-3409	194	2	of	of	ADP
ejpam-3409	194	3	the	the	DET
ejpam-3409	194	4	adomian	adomian	NOUN
ejpam-3409	194	5	decomposition	decomposition	NOUN
ejpam-3409	194	6	method(adm	method(adm	PROPN
ejpam-3409	194	7	)	)	PUNCT
ejpam-3409	194	8	and	and	CCONJ
ejpam-3409	194	9	the	the	DET
ejpam-3409	194	10	some	some	DET
ejpam-3409	194	11	blaise	blaise	PROPN
ejpam-3409	194	12	abbo(sba	abbo(sba	PROPN
ejpam-3409	194	13	)	)	PUNCT
ejpam-3409	194	14	method	method	NOUN
ejpam-3409	194	15	to	to	ADP
ejpam-3409	194	16	solving	solve	VERB
ejpam-3409	194	17	the	the	DET
ejpam-3409	194	18	diffusion	diffusion	NOUN
ejpam-3409	194	19	-	-	PUNCT
ejpam-3409	194	20	reaction	reaction	NOUN
ejpam-3409	194	21	equations	equation	NOUN
ejpam-3409	194	22	.	.	PUNCT
ejpam-3409	195	1	advances	advance	NOUN
ejpam-3409	195	2	in	in	ADP
ejpam-3409	195	3	theoretical	theoretical	ADJ
ejpam-3409	195	4	and	and	CCONJ
ejpam-3409	195	5	applied	applied	ADJ
ejpam-3409	195	6	mathematics	mathematic	NOUN
ejpam-3409	195	7	,	,	PUNCT
ejpam-3409	195	8	9(2):97–104	9(2):97–104	NOUN
ejpam-3409	195	9	,	,	PUNCT
ejpam-3409	195	10	2014	2014	NUM
ejpam-3409	195	11	.	.	PUNCT
ejpam-3409	196	1	[	[	X
ejpam-3409	196	2	15	15	NUM
ejpam-3409	196	3	]	]	X
ejpam-3409	196	4	pare	pare	PROPN
ejpam-3409	196	5	youssouf	youssouf	PROPN
ejpam-3409	196	6	.	.	PUNCT
ejpam-3409	197	1	résolution	résolution	PROPN
ejpam-3409	197	2	de	de	X
ejpam-3409	197	3	quelques	quelques	X
ejpam-3409	197	4	équations	équations	PROPN
ejpam-3409	197	5	fonctionnelles	fonctionnelle	NOUN
ejpam-3409	197	6	par	par	NOUN
ejpam-3409	197	7	la	la	PROPN
ejpam-3409	197	8	méthode	méthode	PROPN
ejpam-3409	197	9	sba	sba	PROPN
ejpam-3409	197	10	(	(	PUNCT
ejpam-3409	197	11	somé	somé	NOUN
ejpam-3409	197	12	blaise	blaise	PROPN
ejpam-3409	197	13	-	-	PUNCT
ejpam-3409	197	14	abbo	abbo	PROPN
ejpam-3409	197	15	)	)	PUNCT
ejpam-3409	197	16	.	.	PUNCT
ejpam-3409	198	1	phd	phd	NOUN
ejpam-3409	198	2	thesis	thesis	NOUN
ejpam-3409	198	3	,	,	PUNCT
ejpam-3409	198	4	université	université	ADJ
ejpam-3409	198	5	de	de	X
ejpam-3409	198	6	ouagadougou	ouagadougou	PROPN
ejpam-3409	198	7	,	,	PUNCT
ejpam-3409	198	8	2010	2010	NUM
ejpam-3409	198	9	.	.	PUNCT