id	sid	tid	token	lemma	pos
ejpam-3411	1	1	european	european	PROPN
ejpam-3411	1	2	journal	journal	PROPN
ejpam-3411	1	3	of	of	ADP
ejpam-3411	1	4	pure	pure	ADJ
ejpam-3411	1	5	and	and	CCONJ
ejpam-3411	1	6	applied	apply	VERB
ejpam-3411	1	7	mathematics	mathematic	NOUN
ejpam-3411	1	8	vol	vol	NOUN
ejpam-3411	1	9	.	.	PROPN
ejpam-3411	2	1	12	12	NUM
ejpam-3411	2	2	,	,	PUNCT
ejpam-3411	2	3	no	no	INTJ
ejpam-3411	2	4	.	.	NOUN
ejpam-3411	2	5	2	2	NUM
ejpam-3411	2	6	,	,	PUNCT
ejpam-3411	2	7	2019	2019	NUM
ejpam-3411	2	8	,	,	PUNCT
ejpam-3411	2	9	519	519	NUM
ejpam-3411	2	10	-	-	SYM
ejpam-3411	2	11	532	532	NUM
ejpam-3411	2	12	issn	issn	PROPN
ejpam-3411	2	13	1307	1307	NUM
ejpam-3411	2	14	-	-	SYM
ejpam-3411	2	15	5543	5543	NUM
ejpam-3411	2	16	–	–	PUNCT
ejpam-3411	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3411	2	18	published	publish	VERB
ejpam-3411	2	19	by	by	ADP
ejpam-3411	2	20	new	new	PROPN
ejpam-3411	2	21	york	york	PROPN
ejpam-3411	2	22	business	business	PROPN
ejpam-3411	2	23	global	global	PROPN
ejpam-3411	2	24	general	general	ADJ
ejpam-3411	2	25	solution	solution	NOUN
ejpam-3411	2	26	of	of	ADP
ejpam-3411	2	27	linear	linear	ADJ
ejpam-3411	2	28	partial	partial	ADJ
ejpam-3411	2	29	differential	differential	ADJ
ejpam-3411	2	30	equations	equation	NOUN
ejpam-3411	2	31	modeling	model	VERB
ejpam-3411	2	32	homogeneous	homogeneous	ADJ
ejpam-3411	2	33	diffusion	diffusion	NOUN
ejpam-3411	2	34	-	-	PUNCT
ejpam-3411	2	35	convection	convection	NOUN
ejpam-3411	2	36	-	-	PUNCT
ejpam-3411	2	37	reaction	reaction	NOUN
ejpam-3411	2	38	problems	problem	NOUN
ejpam-3411	2	39	with	with	ADP
ejpam-3411	2	40	cauchy	cauchy	PROPN
ejpam-3411	2	41	initial	initial	ADJ
ejpam-3411	2	42	condition	condition	NOUN
ejpam-3411	2	43	minoungou	minoungou	NOUN
ejpam-3411	2	44	youssouf1	youssouf1	PROPN
ejpam-3411	2	45	,	,	PUNCT
ejpam-3411	2	46	bagayogo	bagayogo	PROPN
ejpam-3411	2	47	moussa1	moussa1	PROPN
ejpam-3411	2	48	,	,	PUNCT
ejpam-3411	3	1	youssouf	youssouf	PROPN
ejpam-3411	4	1	paré1,∗	paré1,∗	PROPN
ejpam-3411	4	2	1	1	NUM
ejpam-3411	4	3	département	département	PROPN
ejpam-3411	4	4	de	de	X
ejpam-3411	4	5	mathématiques	mathématiques	PROPN
ejpam-3411	4	6	,	,	PUNCT
ejpam-3411	4	7	ufr	ufr	PROPN
ejpam-3411	4	8	/	/	SYM
ejpam-3411	4	9	sciences	science	NOUN
ejpam-3411	4	10	exactes	exact	VERB
ejpam-3411	4	11	et	et	NOUN
ejpam-3411	4	12	appliquées	appliquée	NOUN
ejpam-3411	4	13	,	,	PUNCT
ejpam-3411	4	14	université	université	ADJ
ejpam-3411	4	15	ouaga	ouaga	NOUN
ejpam-3411	4	16	i	i	PRON
ejpam-3411	4	17	pr	pr	VERB
ejpam-3411	4	18	joseph	joseph	PROPN
ejpam-3411	4	19	ki	ki	PROPN
ejpam-3411	4	20	-	-	PUNCT
ejpam-3411	4	21	zerbo	zerbo	PROPN
ejpam-3411	4	22	,	,	PUNCT
ejpam-3411	4	23	ouagadougou	ouagadougou	PROPN
ejpam-3411	4	24	,	,	PUNCT
ejpam-3411	4	25	burkina	burkina	PROPN
ejpam-3411	4	26	-	-	PUNCT
ejpam-3411	4	27	faso	faso	PROPN
ejpam-3411	4	28	abstract	abstract	NOUN
ejpam-3411	4	29	.	.	PUNCT
ejpam-3411	5	1	in	in	ADP
ejpam-3411	5	2	this	this	DET
ejpam-3411	5	3	paper	paper	NOUN
ejpam-3411	5	4	,	,	PUNCT
ejpam-3411	5	5	we	we	PRON
ejpam-3411	5	6	propose	propose	VERB
ejpam-3411	5	7	the	the	DET
ejpam-3411	5	8	general	general	ADJ
ejpam-3411	5	9	solution	solution	NOUN
ejpam-3411	5	10	of	of	ADP
ejpam-3411	5	11	diffusion	diffusion	NOUN
ejpam-3411	5	12	-	-	PUNCT
ejpam-3411	5	13	convection	convection	NOUN
ejpam-3411	5	14	-	-	PUNCT
ejpam-3411	5	15	reaction	reaction	NOUN
ejpam-3411	5	16	homogeneous	homogeneous	ADJ
ejpam-3411	5	17	problems	problem	NOUN
ejpam-3411	5	18	with	with	ADP
ejpam-3411	5	19	condition	condition	NOUN
ejpam-3411	5	20	initial	initial	NOUN
ejpam-3411	5	21	of	of	ADP
ejpam-3411	5	22	cauchy	cauchy	PROPN
ejpam-3411	5	23	,	,	PUNCT
ejpam-3411	5	24	using	use	VERB
ejpam-3411	5	25	the	the	DET
ejpam-3411	5	26	sba	sba	PROPN
ejpam-3411	5	27	numerical	numerical	PROPN
ejpam-3411	5	28	method	method	PROPN
ejpam-3411	5	29	.	.	PUNCT
ejpam-3411	6	1	this	this	DET
ejpam-3411	6	2	method	method	NOUN
ejpam-3411	6	3	is	be	AUX
ejpam-3411	6	4	based	base	VERB
ejpam-3411	6	5	on	on	ADP
ejpam-3411	6	6	the	the	DET
ejpam-3411	6	7	combination	combination	NOUN
ejpam-3411	6	8	of	of	ADP
ejpam-3411	6	9	the	the	DET
ejpam-3411	6	10	adomian	adomian	NOUN
ejpam-3411	6	11	decompositional	decompositional	ADJ
ejpam-3411	6	12	method(adm	method(adm	PROPN
ejpam-3411	6	13	)	)	PUNCT
ejpam-3411	6	14	,	,	PUNCT
ejpam-3411	6	15	the	the	DET
ejpam-3411	6	16	successive	successive	ADJ
ejpam-3411	6	17	approximations	approximation	NOUN
ejpam-3411	6	18	method	method	NOUN
ejpam-3411	6	19	and	and	CCONJ
ejpam-3411	6	20	the	the	DET
ejpam-3411	6	21	picard	picard	PROPN
ejpam-3411	6	22	principle	principle	NOUN
ejpam-3411	6	23	.	.	PUNCT
ejpam-3411	7	1	2010	2010	NUM
ejpam-3411	7	2	mathematics	mathematic	NOUN
ejpam-3411	7	3	subject	subject	NOUN
ejpam-3411	7	4	classifications	classification	NOUN
ejpam-3411	7	5	:	:	PUNCT
ejpam-3411	7	6	47h14	47h14	NOUN
ejpam-3411	7	7	,	,	PUNCT
ejpam-3411	7	8	34g20	34g20	NUM
ejpam-3411	7	9	,	,	PUNCT
ejpam-3411	7	10	47j25	47j25	NUM
ejpam-3411	7	11	,	,	PUNCT
ejpam-3411	7	12	65j15	65j15	NUM
ejpam-3411	7	13	key	key	ADJ
ejpam-3411	7	14	words	word	NOUN
ejpam-3411	7	15	and	and	CCONJ
ejpam-3411	7	16	phrases	phrase	NOUN
ejpam-3411	7	17	:	:	PUNCT
ejpam-3411	7	18	sba	sba	PROPN
ejpam-3411	7	19	method	method	PROPN
ejpam-3411	7	20	,	,	PUNCT
ejpam-3411	7	21	adomian	adomian	NOUN
ejpam-3411	7	22	decompositional	decompositional	ADJ
ejpam-3411	7	23	method(adm	method(adm	PROPN
ejpam-3411	7	24	)	)	PUNCT
ejpam-3411	7	25	,	,	PUNCT
ejpam-3411	7	26	homogeneous	homogeneous	ADJ
ejpam-3411	7	27	diffusion	diffusion	NOUN
ejpam-3411	7	28	-	-	PUNCT
ejpam-3411	7	29	convection	convection	NOUN
ejpam-3411	7	30	-	-	PUNCT
ejpam-3411	7	31	reaction	reaction	NOUN
ejpam-3411	7	32	problem	problem	NOUN
ejpam-3411	7	33	.	.	PUNCT
ejpam-3411	8	1	1	1	X
ejpam-3411	8	2	.	.	X
ejpam-3411	8	3	introduction	introduction	NOUN
ejpam-3411	8	4	most	most	ADV
ejpam-3411	8	5	physical	physical	ADJ
ejpam-3411	8	6	,	,	PUNCT
ejpam-3411	8	7	medical	medical	ADJ
ejpam-3411	8	8	,	,	PUNCT
ejpam-3411	8	9	biological,	biological,	NOUN
ejpam-3411	8	10	...	...	PUNCT
ejpam-3411	8	11	,phenomena	,phenomena	PUNCT
ejpam-3411	8	12	are	be	AUX
ejpam-3411	8	13	modeled	model	VERB
ejpam-3411	8	14	by	by	ADP
ejpam-3411	8	15	integral	integral	ADJ
ejpam-3411	8	16	equations	equation	NOUN
ejpam-3411	8	17	,	,	PUNCT
ejpam-3411	8	18	integro	integro	ADJ
ejpam-3411	8	19	-	-	PUNCT
ejpam-3411	8	20	differential	differential	NOUN
ejpam-3411	8	21	equations	equation	NOUN
ejpam-3411	8	22	,	,	PUNCT
ejpam-3411	8	23	ordinary	ordinary	ADJ
ejpam-3411	8	24	differential	differential	ADJ
ejpam-3411	8	25	equations	equation	NOUN
ejpam-3411	8	26	or	or	CCONJ
ejpam-3411	8	27	by	by	ADP
ejpam-3411	8	28	partial	partial	ADJ
ejpam-3411	8	29	differential	differential	ADJ
ejpam-3411	8	30	equations	equation	NOUN
ejpam-3411	8	31	.	.	PUNCT
ejpam-3411	9	1	generally	generally	ADV
ejpam-3411	9	2	it	it	PRON
ejpam-3411	9	3	is	be	AUX
ejpam-3411	9	4	very	very	ADV
ejpam-3411	9	5	difficult	difficult	ADJ
ejpam-3411	9	6	,	,	PUNCT
ejpam-3411	9	7	or	or	CCONJ
ejpam-3411	9	8	impossible	impossible	ADJ
ejpam-3411	9	9	to	to	PART
ejpam-3411	9	10	determine	determine	VERB
ejpam-3411	9	11	their	their	PRON
ejpam-3411	9	12	analytical	analytical	ADJ
ejpam-3411	9	13	solutions	solution	NOUN
ejpam-3411	9	14	.	.	PUNCT
ejpam-3411	10	1	in	in	ADP
ejpam-3411	10	2	this	this	DET
ejpam-3411	10	3	paper	paper	NOUN
ejpam-3411	10	4	,	,	PUNCT
ejpam-3411	10	5	we	we	PRON
ejpam-3411	10	6	propose	propose	VERB
ejpam-3411	10	7	a	a	DET
ejpam-3411	10	8	general	general	ADJ
ejpam-3411	10	9	solution	solution	NOUN
ejpam-3411	10	10	of	of	ADP
ejpam-3411	10	11	linear	linear	PROPN
ejpam-3411	10	12	homogeneous	homogeneous	ADJ
ejpam-3411	10	13	diffusion	diffusion	NOUN
ejpam-3411	10	14	,	,	PUNCT
ejpam-3411	10	15	convection	convection	NOUN
ejpam-3411	10	16	and	and	CCONJ
ejpam-3411	10	17	reaction	reaction	NOUN
ejpam-3411	10	18	equations	equation	NOUN
ejpam-3411	10	19	with	with	ADP
ejpam-3411	10	20	cauchy	cauchy	ADJ
ejpam-3411	10	21	initial	initial	ADJ
ejpam-3411	10	22	condition	condition	NOUN
ejpam-3411	10	23	,	,	PUNCT
ejpam-3411	10	24	using	use	VERB
ejpam-3411	10	25	the	the	DET
ejpam-3411	10	26	sba	sba	PROPN
ejpam-3411	10	27	numerical	numerical	PROPN
ejpam-3411	10	28	method	method	PROPN
ejpam-3411	10	29	.	.	PUNCT
ejpam-3411	11	1	2	2	X
ejpam-3411	11	2	.	.	X
ejpam-3411	11	3	the	the	DET
ejpam-3411	11	4	numerical	numerical	PROPN
ejpam-3411	11	5	sba	sba	PROPN
ejpam-3411	11	6	method	method	PROPN
ejpam-3411	11	7	let	let	VERB
ejpam-3411	11	8	us	we	PRON
ejpam-3411	11	9	consider	consider	VERB
ejpam-3411	11	10	the	the	DET
ejpam-3411	11	11	following	follow	VERB
ejpam-3411	11	12	fonctional	fonctional	ADJ
ejpam-3411	11	13	equation	equation	NOUN
ejpam-3411	11	14	:	:	PUNCT
ejpam-3411	11	15	au	au	PROPN
ejpam-3411	11	16	=	=	SYM
ejpam-3411	11	17	f	f	PROPN
ejpam-3411	11	18	(	(	PUNCT
ejpam-3411	11	19	1	1	NUM
ejpam-3411	11	20	)	)	PUNCT
ejpam-3411	11	21	where	where	SCONJ
ejpam-3411	11	22	a	a	DET
ejpam-3411	11	23	:	:	PUNCT
ejpam-3411	11	24	h	h	NOUN
ejpam-3411	11	25	→	→	SYM
ejpam-3411	11	26	h	h	NOUN
ejpam-3411	11	27	,	,	PUNCT
ejpam-3411	11	28	is	be	AUX
ejpam-3411	11	29	an	an	DET
ejpam-3411	11	30	operator	operator	NOUN
ejpam-3411	11	31	not	not	PART
ejpam-3411	11	32	necessarly	necessarly	ADV
ejpam-3411	11	33	linear	linear	ADJ
ejpam-3411	11	34	and	and	CCONJ
ejpam-3411	11	35	h	h	NOUN
ejpam-3411	11	36	is	be	AUX
ejpam-3411	11	37	a	a	DET
ejpam-3411	11	38	hilbert	hilbert	NOUN
ejpam-3411	11	39	space	space	NOUN
ejpam-3411	11	40	adequatly	adequatly	ADV
ejpam-3411	11	41	chosen	choose	VERB
ejpam-3411	11	42	given	give	VERB
ejpam-3411	11	43	the	the	DET
ejpam-3411	11	44	operator	operator	NOUN
ejpam-3411	11	45	a	a	PRON
ejpam-3411	11	46	,	,	PUNCT
ejpam-3411	11	47	f	f	PROPN
ejpam-3411	11	48	is	be	AUX
ejpam-3411	11	49	given	give	VERB
ejpam-3411	11	50	function	function	NOUN
ejpam-3411	11	51	and	and	CCONJ
ejpam-3411	11	52	u	u	PRON
ejpam-3411	11	53	the	the	DET
ejpam-3411	11	54	unnown	unnown	ADJ
ejpam-3411	11	55	function	function	NOUN
ejpam-3411	11	56	.	.	PUNCT
ejpam-3411	12	1	∗corresponding	∗corresponde	VERB
ejpam-3411	12	2	author	author	NOUN
ejpam-3411	12	3	.	.	PUNCT
ejpam-3411	13	1	doi	doi	NOUN
ejpam-3411	13	2	:	:	PUNCT
ejpam-3411	13	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3411	https://doi.org/10.29020/nybg.ejpam.v12i2.3411	VERB
ejpam-3411	13	4	email	email	NOUN
ejpam-3411	13	5	addresses	address	NOUN
ejpam-3411	13	6	:	:	PUNCT
ejpam-3411	13	7	m.youl@yahoo.fr	m.youl@yahoo.fr	X
ejpam-3411	13	8	(	(	PUNCT
ejpam-3411	13	9	y.	y.	PROPN
ejpam-3411	13	10	minoungou	minoungou	PROPN
ejpam-3411	13	11	)	)	PUNCT
ejpam-3411	13	12	,	,	PUNCT
ejpam-3411	13	13	moussabagayogo94@gmail.com	moussabagayogo94@gmail.com	PROPN
ejpam-3411	13	14	(	(	PUNCT
ejpam-3411	13	15	m.	m.	NOUN
ejpam-3411	13	16	bagayogo	bagayogo	PROPN
ejpam-3411	13	17	)	)	PUNCT
ejpam-3411	13	18	,	,	PUNCT
ejpam-3411	13	19	pareyoussouf@yahoo.fr	pareyoussouf@yahoo.fr	PROPN
ejpam-3411	13	20	(	(	PUNCT
ejpam-3411	13	21	y.	y.	PROPN
ejpam-3411	13	22	paré	paré	NOUN
ejpam-3411	13	23	)	)	PUNCT
ejpam-3411	13	24	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3411	14	1	519	519	NUM
ejpam-3411	14	2	c	c	X
ejpam-3411	14	3	©	©	PROPN
ejpam-3411	14	4	2019	2019	NUM
ejpam-3411	14	5	ejpam	ejpam	NOUN
ejpam-3411	14	6	all	all	DET
ejpam-3411	14	7	rights	right	NOUN
ejpam-3411	14	8	reserved	reserve	VERB
ejpam-3411	14	9	.	.	PUNCT
ejpam-3411	15	1	y.	y.	PROPN
ejpam-3411	15	2	minoungou	minoungou	PROPN
ejpam-3411	15	3	,	,	PUNCT
ejpam-3411	15	4	m.	m.	NOUN
ejpam-3411	15	5	bagayogo	bagayogo	PROPN
ejpam-3411	15	6	,	,	PUNCT
ejpam-3411	15	7	y.	y.	PROPN
ejpam-3411	15	8	paré	paré	NOUN
ejpam-3411	15	9	/	/	SYM
ejpam-3411	15	10	eur	eur	PROPN
ejpam-3411	15	11	.	.	PUNCT
ejpam-3411	16	1	j.	j.	PROPN
ejpam-3411	16	2	pure	pure	PROPN
ejpam-3411	16	3	appl	appl	PROPN
ejpam-3411	16	4	.	.	PROPN
ejpam-3411	16	5	math	math	PROPN
ejpam-3411	16	6	,	,	PUNCT
ejpam-3411	16	7	12	12	NUM
ejpam-3411	16	8	(	(	PUNCT
ejpam-3411	16	9	2	2	NUM
ejpam-3411	16	10	)	)	PUNCT
ejpam-3411	16	11	(	(	PUNCT
ejpam-3411	16	12	2019	2019	NUM
ejpam-3411	16	13	)	)	PUNCT
ejpam-3411	16	14	,	,	PUNCT
ejpam-3411	16	15	519	519	NUM
ejpam-3411	16	16	-	-	SYM
ejpam-3411	16	17	532	532	NUM
ejpam-3411	16	18	520	520	NUM
ejpam-3411	16	19	let	let	VERB
ejpam-3411	16	20	:	:	PUNCT
ejpam-3411	16	21	a	a	DET
ejpam-3411	16	22	=	=	PUNCT
ejpam-3411	16	23	l+r+n	l+r+n	NOUN
ejpam-3411	16	24	(	(	PUNCT
ejpam-3411	16	25	2	2	NUM
ejpam-3411	16	26	)	)	PUNCT
ejpam-3411	16	27	where	where	SCONJ
ejpam-3411	16	28	l	l	NOUN
ejpam-3411	16	29	is	be	AUX
ejpam-3411	16	30	an	an	DET
ejpam-3411	16	31	invertible	invertible	ADJ
ejpam-3411	16	32	operator	operator	NOUN
ejpam-3411	16	33	in	in	ADP
ejpam-3411	16	34	the	the	DET
ejpam-3411	16	35	adomian	adomian	NOUN
ejpam-3411	16	36	”	"	PUNCT
ejpam-3411	16	37	sense	sense	NOUN
ejpam-3411	16	38	”	"	PUNCT
ejpam-3411	16	39	,	,	PUNCT
ejpam-3411	16	40	r	r	NOUN
ejpam-3411	16	41	the	the	DET
ejpam-3411	16	42	linear	linear	ADJ
ejpam-3411	16	43	remainder	remainder	NOUN
ejpam-3411	16	44	and	and	CCONJ
ejpam-3411	16	45	n	n	DET
ejpam-3411	16	46	a	a	DET
ejpam-3411	16	47	nonlinear	nonlinear	ADJ
ejpam-3411	16	48	operator	operator	NOUN
ejpam-3411	16	49	.	.	PUNCT
ejpam-3411	17	1	the	the	DET
ejpam-3411	17	2	equation	equation	NOUN
ejpam-3411	17	3	(	(	PUNCT
ejpam-3411	17	4	2	2	X
ejpam-3411	17	5	)	)	PUNCT
ejpam-3411	17	6	therefore	therefore	ADV
ejpam-3411	17	7	becomes	become	VERB
ejpam-3411	17	8	:	:	PUNCT
ejpam-3411	17	9	lu+ru+nu	lu+ru+nu	PROPN
ejpam-3411	17	10	=	=	SYM
ejpam-3411	17	11	f	f	PROPN
ejpam-3411	17	12	⇔	⇔	X
ejpam-3411	17	13	u	u	NOUN
ejpam-3411	17	14	=	=	PROPN
ejpam-3411	17	15	θ	θ	PROPN
ejpam-3411	17	16	+	+	CCONJ
ejpam-3411	17	17	l−1	l−1	PROPN
ejpam-3411	17	18	(	(	PUNCT
ejpam-3411	17	19	f)−	f)−	PROPN
ejpam-3411	17	20	l−1	l−1	PROPN
ejpam-3411	17	21	(	(	PUNCT
ejpam-3411	17	22	ru)−	ru)−	PROPN
ejpam-3411	17	23	l−1	l−1	PROPN
ejpam-3411	17	24	(	(	PUNCT
ejpam-3411	17	25	nu	nu	NOUN
ejpam-3411	17	26	)	)	PUNCT
ejpam-3411	17	27	(	(	PUNCT
ejpam-3411	17	28	3	3	X
ejpam-3411	17	29	)	)	PUNCT
ejpam-3411	17	30	where	where	SCONJ
ejpam-3411	17	31	θ	θ	PROPN
ejpam-3411	17	32	is	be	AUX
ejpam-3411	17	33	such	such	ADJ
ejpam-3411	17	34	that	that	SCONJ
ejpam-3411	17	35	l	l	NOUN
ejpam-3411	17	36	(	(	PUNCT
ejpam-3411	17	37	θ	θ	NOUN
ejpam-3411	17	38	)	)	PUNCT
ejpam-3411	17	39	=	=	SYM
ejpam-3411	18	1	0	0	X
ejpam-3411	18	2	.	.	PUNCT
ejpam-3411	19	1	the	the	DET
ejpam-3411	19	2	equation	equation	NOUN
ejpam-3411	19	3	(	(	PUNCT
ejpam-3411	19	4	3	3	X
ejpam-3411	19	5	)	)	PUNCT
ejpam-3411	19	6	is	be	AUX
ejpam-3411	19	7	the	the	DET
ejpam-3411	19	8	adomian	adomian	NOUN
ejpam-3411	19	9	canonical	canonical	ADJ
ejpam-3411	19	10	forme	forme	PROPN
ejpam-3411	19	11	,	,	PUNCT
ejpam-3411	19	12	using	use	VERB
ejpam-3411	19	13	the	the	DET
ejpam-3411	19	14	successsive	successsive	ADJ
ejpam-3411	19	15	approximations	approximation	NOUN
ejpam-3411	19	16	[	[	X
ejpam-3411	19	17	3	3	X
ejpam-3411	19	18	]	]	PUNCT
ejpam-3411	19	19	we	we	PRON
ejpam-3411	19	20	get	get	VERB
ejpam-3411	19	21	:	:	PUNCT
ejpam-3411	20	1	uk	uk	PROPN
ejpam-3411	20	2	=	=	SYM
ejpam-3411	20	3	θ	θ	PROPN
ejpam-3411	20	4	+	+	PUNCT
ejpam-3411	20	5	l−1	l−1	PROPN
ejpam-3411	20	6	(	(	PUNCT
ejpam-3411	20	7	f)−	f)−	PROPN
ejpam-3411	20	8	l−1	l−1	PROPN
ejpam-3411	20	9	(	(	PUNCT
ejpam-3411	20	10	ruk	ruk	NOUN
ejpam-3411	20	11	)	)	PUNCT
ejpam-3411	21	1	−	−	PROPN
ejpam-3411	21	2	l−1	l−1	PROPN
ejpam-3411	21	3	(	(	PUNCT
ejpam-3411	21	4	nuk−1	nuk−1	PROPN
ejpam-3411	21	5	)	)	PUNCT
ejpam-3411	21	6	;	;	PUNCT
ejpam-3411	21	7	k	k	X
ejpam-3411	21	8	≥	≥	NUM
ejpam-3411	21	9	1	1	NUM
ejpam-3411	21	10	(	(	PUNCT
ejpam-3411	21	11	4	4	X
ejpam-3411	21	12	)	)	PUNCT
ejpam-3411	21	13	this	this	PRON
ejpam-3411	21	14	yields	yield	VERB
ejpam-3411	21	15	the	the	DET
ejpam-3411	21	16	following	follow	VERB
ejpam-3411	21	17	adomian	adomian	NOUN
ejpam-3411	21	18	algorithm	algorithm	NOUN
ejpam-3411	22	1	[	[	X
ejpam-3411	22	2	5	5	NUM
ejpam-3411	22	3	]	]	X
ejpam-3411	22	4	{	{	PUNCT
ejpam-3411	22	5	uk0	uk0	ADJ
ejpam-3411	22	6	=	=	SYM
ejpam-3411	22	7	θ	θ	NOUN
ejpam-3411	22	8	+	+	CCONJ
ejpam-3411	22	9	l−1	l−1	PROPN
ejpam-3411	22	10	(	(	PUNCT
ejpam-3411	22	11	f)−	f)−	PROPN
ejpam-3411	22	12	l−1	l−1	PROPN
ejpam-3411	22	13	(	(	PUNCT
ejpam-3411	22	14	nuk−1	nuk−1	PROPN
ejpam-3411	22	15	)	)	PUNCT
ejpam-3411	22	16	;	;	PUNCT
ejpam-3411	22	17	k	k	X
ejpam-3411	22	18	≥	≥	NUM
ejpam-3411	22	19	1	1	NUM
ejpam-3411	22	20	ukn+1	ukn+1	NOUN
ejpam-3411	22	21	=	=	PUNCT
ejpam-3411	22	22	−l−1	−l−1	NUM
ejpam-3411	22	23	(	(	PUNCT
ejpam-3411	22	24	rukn	rukn	PROPN
ejpam-3411	22	25	)	)	PUNCT
ejpam-3411	22	26	;	;	PUNCT
ejpam-3411	22	27	n	n	X
ejpam-3411	22	28	≥	≥	NOUN
ejpam-3411	22	29	0	0	NUM
ejpam-3411	22	30	(	(	PUNCT
ejpam-3411	22	31	5	5	NUM
ejpam-3411	22	32	)	)	PUNCT
ejpam-3411	22	33	the	the	DET
ejpam-3411	22	34	picard	picard	PROPN
ejpam-3411	22	35	principle	principle	NOUN
ejpam-3411	22	36	is	be	AUX
ejpam-3411	22	37	then	then	ADV
ejpam-3411	22	38	applied	apply	VERB
ejpam-3411	22	39	to	to	ADP
ejpam-3411	22	40	the	the	DET
ejpam-3411	22	41	equation	equation	NOUN
ejpam-3411	22	42	(	(	PUNCT
ejpam-3411	22	43	5	5	X
ejpam-3411	22	44	)	)	PUNCT
ejpam-3411	22	45	let	let	VERB
ejpam-3411	22	46	u0	u0	ADJ
ejpam-3411	22	47	be	be	AUX
ejpam-3411	22	48	such	such	ADJ
ejpam-3411	22	49	that	that	SCONJ
ejpam-3411	22	50	n	n	PROPN
ejpam-3411	22	51	(	(	PUNCT
ejpam-3411	22	52	u0	u0	ADJ
ejpam-3411	22	53	)	)	PUNCT
ejpam-3411	22	54	=	=	SYM
ejpam-3411	22	55	0	0	NUM
ejpam-3411	22	56	,	,	PUNCT
ejpam-3411	22	57	for	for	ADP
ejpam-3411	22	58	k	k	PROPN
ejpam-3411	22	59	=	=	SYM
ejpam-3411	22	60	1	1	NUM
ejpam-3411	22	61	,	,	PUNCT
ejpam-3411	22	62	we	we	PRON
ejpam-3411	22	63	get	get	VERB
ejpam-3411	22	64	:	:	PUNCT
ejpam-3411	22	65	{	{	PUNCT
ejpam-3411	22	66	u10	u10	PROPN
ejpam-3411	22	67	=	=	SYM
ejpam-3411	22	68	θ	θ	PROPN
ejpam-3411	22	69	+	+	PUNCT
ejpam-3411	23	1	l−1	l−1	PROPN
ejpam-3411	23	2	(	(	PUNCT
ejpam-3411	23	3	f	f	X
ejpam-3411	23	4	)	)	PUNCT
ejpam-3411	23	5	+	+	CCONJ
ejpam-3411	24	1	l−1	l−1	PROPN
ejpam-3411	24	2	(	(	PUNCT
ejpam-3411	24	3	nu0	nu0	NOUN
ejpam-3411	24	4	)	)	PUNCT
ejpam-3411	24	5	u1n+1	u1n+1	PROPN
ejpam-3411	24	6	=	=	NOUN
ejpam-3411	24	7	−l−1	−l−1	NUM
ejpam-3411	24	8	(	(	PUNCT
ejpam-3411	24	9	ru1n	ru1n	NOUN
ejpam-3411	24	10	)	)	PUNCT
ejpam-3411	24	11	;	;	PUNCT
ejpam-3411	24	12	n	n	X
ejpam-3411	24	13	≥	≥	NOUN
ejpam-3411	24	14	0	0	NUM
ejpam-3411	24	15	(	(	PUNCT
ejpam-3411	24	16	6	6	NUM
ejpam-3411	24	17	)	)	PUNCT
ejpam-3411	24	18	if	if	SCONJ
ejpam-3411	24	19	the	the	DET
ejpam-3411	24	20	series	series	NOUN
ejpam-3411	24	21	(	(	PUNCT
ejpam-3411	24	22	+	+	ADP
ejpam-3411	24	23	∞∑	∞∑	NUM
ejpam-3411	24	24	n=0	n=0	NUM
ejpam-3411	24	25	u1n	u1n	NOUN
ejpam-3411	24	26	)	)	PUNCT
ejpam-3411	24	27	converges	converge	NOUN
ejpam-3411	24	28	,	,	PUNCT
ejpam-3411	24	29	then	then	ADV
ejpam-3411	24	30	u1	u1	NOUN
ejpam-3411	24	31	=	=	PUNCT
ejpam-3411	25	1	+	+	ADP
ejpam-3411	25	2	∞∑	∞∑	PRON
ejpam-3411	25	3	n=0	n=0	NUM
ejpam-3411	25	4	u1n	u1n	NOUN
ejpam-3411	25	5	.	.	PUNCT
ejpam-3411	26	1	for	for	ADP
ejpam-3411	26	2	k	k	PROPN
ejpam-3411	26	3	=	=	SYM
ejpam-3411	26	4	2	2	NUM
ejpam-3411	26	5	,	,	PUNCT
ejpam-3411	26	6	we	we	PRON
ejpam-3411	26	7	get	get	VERB
ejpam-3411	26	8	:	:	PUNCT
ejpam-3411	26	9	{	{	PUNCT
ejpam-3411	26	10	u20	u20	PROPN
ejpam-3411	26	11	=	=	SYM
ejpam-3411	26	12	θ	θ	PROPN
ejpam-3411	26	13	+	+	PUNCT
ejpam-3411	27	1	l−1	l−1	PROPN
ejpam-3411	27	2	(	(	PUNCT
ejpam-3411	27	3	f	f	X
ejpam-3411	27	4	)	)	PUNCT
ejpam-3411	27	5	+	+	CCONJ
ejpam-3411	28	1	l−1	l−1	PROPN
ejpam-3411	28	2	(	(	PUNCT
ejpam-3411	28	3	nu1	nu1	PROPN
ejpam-3411	28	4	)	)	PUNCT
ejpam-3411	28	5	u2n+1	u2n+1	PROPN
ejpam-3411	29	1	=	=	SYM
ejpam-3411	29	2	l−1	l−1	PROPN
ejpam-3411	29	3	(	(	PUNCT
ejpam-3411	29	4	ru2n	ru2n	PROPN
ejpam-3411	29	5	)	)	PUNCT
ejpam-3411	29	6	;	;	PUNCT
ejpam-3411	29	7	n	n	X
ejpam-3411	29	8	≥	≥	NOUN
ejpam-3411	29	9	0	0	NUM
ejpam-3411	29	10	(	(	PUNCT
ejpam-3411	29	11	7	7	X
ejpam-3411	29	12	)	)	PUNCT
ejpam-3411	29	13	if	if	SCONJ
ejpam-3411	29	14	the	the	DET
ejpam-3411	29	15	series	series	NOUN
ejpam-3411	29	16	(	(	PUNCT
ejpam-3411	29	17	+	+	ADP
ejpam-3411	29	18	∞∑	∞∑	PROPN
ejpam-3411	29	19	n=0	n=0	NUM
ejpam-3411	29	20	u2n	u2n	NOUN
ejpam-3411	29	21	)	)	PUNCT
ejpam-3411	29	22	converges	converge	VERB
ejpam-3411	29	23	,	,	PUNCT
ejpam-3411	29	24	then	then	ADV
ejpam-3411	29	25	u2	u2	PROPN
ejpam-3411	29	26	=	=	PROPN
ejpam-3411	29	27	+	+	PROPN
ejpam-3411	29	28	∞∑	∞∑	PROPN
ejpam-3411	29	29	n=0	n=0	NUM
ejpam-3411	29	30	u2n	u2n	NOUN
ejpam-3411	29	31	.	.	PUNCT
ejpam-3411	30	1	this	this	DET
ejpam-3411	30	2	process	process	NOUN
ejpam-3411	30	3	is	be	AUX
ejpam-3411	30	4	repeated	repeat	VERB
ejpam-3411	30	5	to	to	ADP
ejpam-3411	30	6	k.	k.	PROPN
ejpam-3411	30	7	if	if	SCONJ
ejpam-3411	30	8	the	the	DET
ejpam-3411	30	9	series	series	NOUN
ejpam-3411	30	10	(	(	PUNCT
ejpam-3411	30	11	+	+	ADP
ejpam-3411	30	12	∞∑	∞∑	ADJ
ejpam-3411	30	13	n=0	n=0	ADJ
ejpam-3411	30	14	ukn	ukn	NOUN
ejpam-3411	30	15	)	)	PUNCT
ejpam-3411	30	16	converges	converge	VERB
ejpam-3411	30	17	,	,	PUNCT
ejpam-3411	30	18	then	then	ADV
ejpam-3411	30	19	u2	u2	PROPN
ejpam-3411	30	20	=	=	PROPN
ejpam-3411	31	1	+	+	PROPN
ejpam-3411	31	2	∞∑	∞∑	ADJ
ejpam-3411	31	3	n=0	n=0	NUM
ejpam-3411	31	4	ukn	ukn	NOUN
ejpam-3411	31	5	,	,	PUNCT
ejpam-3411	31	6	therefore	therefore	ADV
ejpam-3411	31	7	u	u	PROPN
ejpam-3411	31	8	=	=	PROPN
ejpam-3411	31	9	lim	lim	PROPN
ejpam-3411	31	10	k→+∞	k→+∞	PROPN
ejpam-3411	31	11	uk	uk	PROPN
ejpam-3411	31	12	is	be	AUX
ejpam-3411	31	13	the	the	DET
ejpam-3411	31	14	solution	solution	NOUN
ejpam-3411	31	15	of	of	ADP
ejpam-3411	31	16	the	the	DET
ejpam-3411	31	17	equation	equation	NOUN
ejpam-3411	31	18	(	(	PUNCT
ejpam-3411	31	19	2	2	NUM
ejpam-3411	31	20	)	)	PUNCT
ejpam-3411	31	21	at	at	ADP
ejpam-3411	31	22	each	each	DET
ejpam-3411	31	23	stape	stape	NOUN
ejpam-3411	31	24	k	k	PROPN
ejpam-3411	31	25	≥	≥	NUM
ejpam-3411	31	26	1	1	NUM
ejpam-3411	31	27	,	,	PUNCT
ejpam-3411	31	28	we	we	PRON
ejpam-3411	31	29	make	make	VERB
ejpam-3411	31	30	sure	sure	ADJ
ejpam-3411	31	31	that	that	SCONJ
ejpam-3411	31	32	:	:	PUNCT
ejpam-3411	31	33	n	n	X
ejpam-3411	31	34	(	(	PUNCT
ejpam-3411	31	35	uk	uk	PROPN
ejpam-3411	31	36	)	)	PUNCT
ejpam-3411	31	37	=	=	PUNCT
ejpam-3411	32	1	0	0	X
ejpam-3411	32	2	.	.	NOUN
ejpam-3411	32	3	2.1	2.1	NUM
ejpam-3411	32	4	.	.	PUNCT
ejpam-3411	33	1	a	a	DET
ejpam-3411	33	2	diffusion	diffusion	NOUN
ejpam-3411	33	3	model	model	NOUN
ejpam-3411	33	4	let	let	VERB
ejpam-3411	33	5	us	we	PRON
ejpam-3411	33	6	consider	consider	VERB
ejpam-3411	33	7	the	the	DET
ejpam-3411	33	8	following	follow	VERB
ejpam-3411	33	9	diffusion	diffusion	NOUN
ejpam-3411	33	10	model	model	NOUN
ejpam-3411	33	11	cauchy	cauchy	PROPN
ejpam-3411	33	12	initial	initial	ADJ
ejpam-3411	33	13	condition	condition	NOUN
ejpam-3411	33	14	[	[	X
ejpam-3411	33	15	1	1	NUM
ejpam-3411	33	16	,	,	PUNCT
ejpam-3411	33	17	6]	6]	NUM
ejpam-3411	33	18	∂u	∂u	PROPN
ejpam-3411	33	19	(	(	PUNCT
ejpam-3411	33	20	t	t	PROPN
ejpam-3411	33	21	,	,	PUNCT
ejpam-3411	33	22	x	x	NOUN
ejpam-3411	33	23	)	)	PUNCT
ejpam-3411	33	24	∂t	∂t	PROPN
ejpam-3411	33	25	=	=	SYM
ejpam-3411	33	26	ε	ε	PROPN
ejpam-3411	33	27	∂2u	∂2u	PROPN
ejpam-3411	33	28	(	(	PUNCT
ejpam-3411	33	29	t	t	PROPN
ejpam-3411	33	30	,	,	PUNCT
ejpam-3411	33	31	x	x	NOUN
ejpam-3411	33	32	)	)	PUNCT
ejpam-3411	33	33	∂x2	∂x2	NOUN
ejpam-3411	33	34	,	,	PUNCT
ejpam-3411	33	35	0	0	NUM
ejpam-3411	33	36	<	<	X
ejpam-3411	33	37	ε	ε	PROPN
ejpam-3411	33	38	�	�	PROPN
ejpam-3411	33	39	1	1	NUM
ejpam-3411	33	40	u	u	NOUN
ejpam-3411	33	41	(	(	PUNCT
ejpam-3411	33	42	0	0	NUM
ejpam-3411	33	43	,	,	PUNCT
ejpam-3411	33	44	x	x	NOUN
ejpam-3411	33	45	)	)	PUNCT
ejpam-3411	33	46	=	=	SYM
ejpam-3411	33	47	sinωx	sinωx	NOUN
ejpam-3411	33	48	,	,	PUNCT
ejpam-3411	33	49	ω	ω	X
ejpam-3411	33	50	>	>	X
ejpam-3411	33	51	0	0	PUNCT
ejpam-3411	34	1	(	(	PUNCT
ejpam-3411	34	2	8)	8)	NUM
ejpam-3411	34	3	y.	y.	PROPN
ejpam-3411	34	4	minoungou	minoungou	PROPN
ejpam-3411	34	5	,	,	PUNCT
ejpam-3411	34	6	m.	m.	NOUN
ejpam-3411	34	7	bagayogo	bagayogo	PROPN
ejpam-3411	34	8	,	,	PUNCT
ejpam-3411	34	9	y.	y.	PROPN
ejpam-3411	34	10	paré	paré	NOUN
ejpam-3411	34	11	/	/	SYM
ejpam-3411	34	12	eur	eur	PROPN
ejpam-3411	34	13	.	.	PUNCT
ejpam-3411	35	1	j.	j.	PROPN
ejpam-3411	35	2	pure	pure	PROPN
ejpam-3411	35	3	appl	appl	PROPN
ejpam-3411	35	4	.	.	PROPN
ejpam-3411	35	5	math	math	PROPN
ejpam-3411	35	6	,	,	PUNCT
ejpam-3411	35	7	12	12	NUM
ejpam-3411	35	8	(	(	PUNCT
ejpam-3411	35	9	2	2	NUM
ejpam-3411	35	10	)	)	PUNCT
ejpam-3411	35	11	(	(	PUNCT
ejpam-3411	35	12	2019	2019	NUM
ejpam-3411	35	13	)	)	PUNCT
ejpam-3411	35	14	,	,	PUNCT
ejpam-3411	35	15	519	519	NUM
ejpam-3411	35	16	-	-	SYM
ejpam-3411	35	17	532	532	NUM
ejpam-3411	35	18	521	521	NUM
ejpam-3411	35	19	where	where	SCONJ
ejpam-3411	35	20	(	(	PUNCT
ejpam-3411	35	21	t	t	PROPN
ejpam-3411	35	22	,	,	PUNCT
ejpam-3411	35	23	x	x	NOUN
ejpam-3411	35	24	)	)	PUNCT
ejpam-3411	35	25	∈	∈	PROPN
ejpam-3411	35	26	ω	ω	NOUN
ejpam-3411	36	1	=	=	PUNCT
ejpam-3411	37	1	[	[	X
ejpam-3411	37	2	0,+∞[×	0,+∞[×	NUM
ejpam-3411	37	3	r	r	NOUN
ejpam-3411	37	4	and	and	CCONJ
ejpam-3411	37	5	u	u	NOUN
ejpam-3411	37	6	∈	∈	PROPN
ejpam-3411	37	7	c2	c2	PROPN
ejpam-3411	37	8	(	(	PUNCT
ejpam-3411	37	9	ω	ω	PROPN
ejpam-3411	37	10	)	)	PUNCT
ejpam-3411	37	11	.	.	PUNCT
ejpam-3411	38	1	appliying	appliye	VERB
ejpam-3411	38	2	the	the	DET
ejpam-3411	38	3	sba	sba	PROPN
ejpam-3411	38	4	method	method	NOUN
ejpam-3411	38	5	to	to	ADP
ejpam-3411	38	6	(	(	PUNCT
ejpam-3411	38	7	8)	8)	NUM
ejpam-3411	38	8	at	at	ADP
ejpam-3411	38	9	the	the	DET
ejpam-3411	38	10	step	step	NOUN
ejpam-3411	38	11	k	k	PROPN
ejpam-3411	38	12	≥	≥	PROPN
ejpam-3411	38	13	0	0	NUM
ejpam-3411	38	14	,	,	PUNCT
ejpam-3411	38	15	we	we	PRON
ejpam-3411	38	16	obtain	obtain	VERB
ejpam-3411	38	17	the	the	DET
ejpam-3411	38	18	following	follow	VERB
ejpam-3411	38	19	algorithm	algorithm	NOUN
ejpam-3411	38	20	[	[	X
ejpam-3411	38	21	2	2	NUM
ejpam-3411	38	22	,	,	PUNCT
ejpam-3411	38	23	4	4	NUM
ejpam-3411	38	24	]	]	PUNCT
ejpam-3411	38	25	(	(	PUNCT
ejpam-3411	38	26	psba	psba	NOUN
ejpam-3411	38	27	)	)	PUNCT
ejpam-3411	38	28	:	:	PUNCT
ejpam-3411	38	29			NUM
ejpam-3411	38	30	uk0	uk0	ADJ
ejpam-3411	38	31	(	(	PUNCT
ejpam-3411	38	32	t	t	PROPN
ejpam-3411	38	33	,	,	PUNCT
ejpam-3411	38	34	x	x	NOUN
ejpam-3411	38	35	)	)	PUNCT
ejpam-3411	38	36	=	=	SYM
ejpam-3411	38	37	sinωx	sinωx	PROPN
ejpam-3411	38	38	ukn+1	ukn+1	PROPN
ejpam-3411	38	39	(	(	PUNCT
ejpam-3411	38	40	t	t	PROPN
ejpam-3411	38	41	,	,	PUNCT
ejpam-3411	38	42	x	x	NOUN
ejpam-3411	38	43	)	)	PUNCT
ejpam-3411	38	44	=	=	SYM
ejpam-3411	39	1	ε	ε	PROPN
ejpam-3411	39	2	∫	∫	PROPN
ejpam-3411	39	3	t	t	PROPN
ejpam-3411	39	4	0	0	NUM
ejpam-3411	39	5	∂2ukn	∂2ukn	ADJ
ejpam-3411	39	6	(	(	PUNCT
ejpam-3411	39	7	s	s	PROPN
ejpam-3411	39	8	,	,	PUNCT
ejpam-3411	39	9	x	x	NOUN
ejpam-3411	39	10	)	)	PUNCT
ejpam-3411	39	11	∂x2	∂x2	NOUN
ejpam-3411	39	12	ds	ds	NOUN
ejpam-3411	39	13	,	,	PUNCT
ejpam-3411	39	14	n	n	PRON
ejpam-3411	39	15	≥	≥	NOUN
ejpam-3411	39	16	0	0	NUM
ejpam-3411	39	17	(	(	PUNCT
ejpam-3411	39	18	9	9	X
ejpam-3411	39	19	)	)	PUNCT
ejpam-3411	39	20	let	let	VERB
ejpam-3411	39	21	us	we	PRON
ejpam-3411	39	22	calculate	calculate	VERB
ejpam-3411	39	23	the	the	DET
ejpam-3411	39	24	following	following	ADJ
ejpam-3411	39	25	terms	term	NOUN
ejpam-3411	39	26	:	:	PUNCT
ejpam-3411	39	27	uk1	uk1	PROPN
ejpam-3411	39	28	(	(	PUNCT
ejpam-3411	39	29	t	t	PROPN
ejpam-3411	39	30	,	,	PUNCT
ejpam-3411	39	31	x	x	NOUN
ejpam-3411	39	32	)	)	PUNCT
ejpam-3411	39	33	,	,	PUNCT
ejpam-3411	39	34	uk2	uk2	PROPN
ejpam-3411	39	35	(	(	PUNCT
ejpam-3411	39	36	t	t	PROPN
ejpam-3411	39	37	,	,	PUNCT
ejpam-3411	39	38	x	x	NOUN
ejpam-3411	39	39	)	)	PUNCT
ejpam-3411	39	40	,	,	PUNCT
ejpam-3411	39	41	uk3	uk3	PROPN
ejpam-3411	39	42	(	(	PUNCT
ejpam-3411	39	43	t	t	PROPN
ejpam-3411	39	44	,	,	PUNCT
ejpam-3411	39	45	x	x	NOUN
ejpam-3411	39	46	)	)	PUNCT
ejpam-3411	39	47	,	,	PUNCT
ejpam-3411	39	48	...	...	PUNCT
ejpam-3411	39	49			PROPN
ejpam-3411	39	50	uk0	uk0	ADJ
ejpam-3411	39	51	(	(	PUNCT
ejpam-3411	39	52	t	t	PROPN
ejpam-3411	39	53	,	,	PUNCT
ejpam-3411	39	54	x	x	NOUN
ejpam-3411	39	55	)	)	PUNCT
ejpam-3411	39	56	=	=	PUNCT
ejpam-3411	40	1	sinωx	sinωx	VERB
ejpam-3411	40	2	uk1	uk1	PROPN
ejpam-3411	40	3	(	(	PUNCT
ejpam-3411	40	4	t	t	PROPN
ejpam-3411	40	5	,	,	PUNCT
ejpam-3411	40	6	x	x	NOUN
ejpam-3411	40	7	)	)	PUNCT
ejpam-3411	40	8	=	=	PUNCT
ejpam-3411	41	1	−εω2	−εω2	AUX
ejpam-3411	41	2	t	t	NOUN
ejpam-3411	41	3	sinωx	sinωx	NOUN
ejpam-3411	41	4	uk2	uk2	PROPN
ejpam-3411	41	5	(	(	PUNCT
ejpam-3411	41	6	t	t	PROPN
ejpam-3411	41	7	,	,	PUNCT
ejpam-3411	41	8	x	x	NOUN
ejpam-3411	41	9	)	)	PUNCT
ejpam-3411	41	10	=	=	SYM
ejpam-3411	41	11	(	(	PUNCT
ejpam-3411	41	12	εω2	εω2	PROPN
ejpam-3411	41	13	t	t	PROPN
ejpam-3411	41	14	)	)	PUNCT
ejpam-3411	41	15	2	2	NUM
ejpam-3411	41	16	2	2	NUM
ejpam-3411	41	17	!	!	PUNCT
ejpam-3411	41	18	sinωx	sinωx	VERB
ejpam-3411	41	19	uk3	uk3	PROPN
ejpam-3411	41	20	(	(	PUNCT
ejpam-3411	41	21	t	t	PROPN
ejpam-3411	41	22	,	,	PUNCT
ejpam-3411	41	23	x	x	NOUN
ejpam-3411	41	24	)	)	PUNCT
ejpam-3411	41	25	=	=	SYM
ejpam-3411	41	26	(	(	PUNCT
ejpam-3411	41	27	−εω2	−εω2	PROPN
ejpam-3411	41	28	t	t	NOUN
ejpam-3411	41	29	)	)	PUNCT
ejpam-3411	41	30	3	3	NUM
ejpam-3411	41	31	3	3	NUM
ejpam-3411	41	32	!	!	PUNCT
ejpam-3411	41	33	sinωx	sinωx	NOUN
ejpam-3411	41	34	...	...	PUNCT
ejpam-3411	41	35	...	...	PUNCT
ejpam-3411	42	1	ukn	ukn	PROPN
ejpam-3411	42	2	(	(	PUNCT
ejpam-3411	42	3	t	t	PROPN
ejpam-3411	42	4	,	,	PUNCT
ejpam-3411	42	5	x	x	NOUN
ejpam-3411	42	6	)	)	PUNCT
ejpam-3411	42	7	=	=	SYM
ejpam-3411	42	8	(	(	PUNCT
ejpam-3411	42	9	−εω2	−εω2	PROPN
ejpam-3411	42	10	t	t	NOUN
ejpam-3411	42	11	)	)	PUNCT
ejpam-3411	42	12	n	n	PROPN
ejpam-3411	42	13	n	n	CCONJ
ejpam-3411	42	14	!	!	PUNCT
ejpam-3411	43	1	sinωx	sinωx	NOUN
ejpam-3411	43	2	then	then	ADV
ejpam-3411	43	3	we	we	PRON
ejpam-3411	43	4	obtain	obtain	VERB
ejpam-3411	43	5	:	:	PUNCT
ejpam-3411	43	6	uk	uk	PROPN
ejpam-3411	43	7	(	(	PUNCT
ejpam-3411	43	8	t	t	PROPN
ejpam-3411	43	9	,	,	PUNCT
ejpam-3411	43	10	x	x	NOUN
ejpam-3411	43	11	)	)	PUNCT
ejpam-3411	43	12	=	=	VERB
ejpam-3411	43	13	sinωx	sinωx	VERB
ejpam-3411	43	14	+	+	NOUN
ejpam-3411	43	15	∞∑	∞∑	PROPN
ejpam-3411	43	16	n=0	n=0	NUM
ejpam-3411	43	17	(	(	PUNCT
ejpam-3411	43	18	−εω2	−εω2	PROPN
ejpam-3411	43	19	t	t	NOUN
ejpam-3411	43	20	)	)	PUNCT
ejpam-3411	43	21	n	n	PRON
ejpam-3411	43	22	n	n	CCONJ
ejpam-3411	43	23	!	!	PUNCT
ejpam-3411	44	1	=	=	SYM
ejpam-3411	44	2	exp	exp	PROPN
ejpam-3411	44	3	(	(	PUNCT
ejpam-3411	44	4	−εω2	−εω2	PROPN
ejpam-3411	44	5	t	t	NOUN
ejpam-3411	44	6	)	)	PUNCT
ejpam-3411	44	7	sinωx	sinωx	NOUN
ejpam-3411	44	8	and	and	CCONJ
ejpam-3411	44	9	the	the	DET
ejpam-3411	44	10	exact	exact	ADJ
ejpam-3411	44	11	solution	solution	NOUN
ejpam-3411	44	12	of	of	ADP
ejpam-3411	44	13	(	(	PUNCT
ejpam-3411	44	14	8)	8)	NUM
ejpam-3411	44	15	is	be	AUX
ejpam-3411	44	16	;	;	PUNCT
ejpam-3411	44	17	u	u	PROPN
ejpam-3411	44	18	(	(	PUNCT
ejpam-3411	44	19	t	t	PROPN
ejpam-3411	44	20	,	,	PUNCT
ejpam-3411	44	21	x	x	NOUN
ejpam-3411	44	22	)	)	PUNCT
ejpam-3411	44	23	=	=	SYM
ejpam-3411	44	24	exp	exp	NOUN
ejpam-3411	44	25	(	(	PUNCT
ejpam-3411	44	26	−εω2	−εω2	PROPN
ejpam-3411	44	27	t	t	NOUN
ejpam-3411	44	28	)	)	PUNCT
ejpam-3411	44	29	sinωx	sinωx	VERB
ejpam-3411	44	30	proposition	proposition	NOUN
ejpam-3411	44	31	1	1	NUM
ejpam-3411	44	32	.	.	PUNCT
ejpam-3411	45	1	the	the	DET
ejpam-3411	45	2	exact	exact	ADJ
ejpam-3411	45	3	solution	solution	NOUN
ejpam-3411	45	4	of	of	ADP
ejpam-3411	45	5	the	the	DET
ejpam-3411	45	6	following	follow	VERB
ejpam-3411	45	7	diffusion	diffusion	NOUN
ejpam-3411	45	8	problem	problem	NOUN
ejpam-3411	45	9	with	with	ADP
ejpam-3411	45	10	cauchy	cauchy	ADJ
ejpam-3411	45	11	initial	initial	ADJ
ejpam-3411	45	12	condition	condition	NOUN
ejpam-3411	45	13	:	:	PUNCT
ejpam-3411	45	14			PUNCT
ejpam-3411	45	15	∂u	∂u	PROPN
ejpam-3411	45	16	(	(	PUNCT
ejpam-3411	45	17	t	t	PROPN
ejpam-3411	45	18	,	,	PUNCT
ejpam-3411	45	19	x	x	NOUN
ejpam-3411	45	20	)	)	PUNCT
ejpam-3411	45	21	∂t	∂t	PROPN
ejpam-3411	45	22	=	=	SYM
ejpam-3411	45	23	ε	ε	PROPN
ejpam-3411	45	24	∂2u	∂2u	PROPN
ejpam-3411	45	25	(	(	PUNCT
ejpam-3411	45	26	t	t	PROPN
ejpam-3411	45	27	,	,	PUNCT
ejpam-3411	45	28	x	x	NOUN
ejpam-3411	45	29	)	)	PUNCT
ejpam-3411	45	30	∂x2	∂x2	NOUN
ejpam-3411	45	31	,	,	PUNCT
ejpam-3411	45	32	ε	ε	PROPN
ejpam-3411	45	33	>	>	X
ejpam-3411	45	34	0	0	NUM
ejpam-3411	45	35	u	u	NOUN
ejpam-3411	45	36	(	(	PUNCT
ejpam-3411	45	37	0	0	NUM
ejpam-3411	45	38	,	,	PUNCT
ejpam-3411	45	39	x	x	NOUN
ejpam-3411	45	40	)	)	PUNCT
ejpam-3411	45	41	=	=	SYM
ejpam-3411	45	42	ϕ	ϕ	X
ejpam-3411	45	43	(	(	PUNCT
ejpam-3411	45	44	αx	αx	X
ejpam-3411	45	45	)	)	PUNCT
ejpam-3411	45	46	,	,	PUNCT
ejpam-3411	45	47	α	α	PROPN
ejpam-3411	45	48	6=	6=	ADP
ejpam-3411	45	49	0	0	NUM
ejpam-3411	45	50	(	(	PUNCT
ejpam-3411	45	51	10	10	NUM
ejpam-3411	45	52	)	)	PUNCT
ejpam-3411	45	53	is	be	AUX
ejpam-3411	45	54	u	u	NOUN
ejpam-3411	45	55	(	(	PUNCT
ejpam-3411	45	56	t	t	PROPN
ejpam-3411	45	57	,	,	PUNCT
ejpam-3411	45	58	x	x	NOUN
ejpam-3411	45	59	)	)	PUNCT
ejpam-3411	45	60	=	=	SYM
ejpam-3411	45	61	exp	exp	NOUN
ejpam-3411	45	62	(	(	PUNCT
ejpam-3411	45	63	−εα2	−εα2	PROPN
ejpam-3411	45	64	t	t	NOUN
ejpam-3411	45	65	)	)	PUNCT
ejpam-3411	45	66	ϕ	ϕ	PROPN
ejpam-3411	45	67	(	(	PUNCT
ejpam-3411	45	68	αx	αx	X
ejpam-3411	45	69	)	)	PUNCT
ejpam-3411	45	70	(	(	PUNCT
ejpam-3411	45	71	11	11	NUM
ejpam-3411	45	72	)	)	PUNCT
ejpam-3411	45	73	where	where	SCONJ
ejpam-3411	45	74	(	(	PUNCT
ejpam-3411	45	75	t	t	PROPN
ejpam-3411	45	76	,	,	PUNCT
ejpam-3411	45	77	x	x	NOUN
ejpam-3411	45	78	)	)	PUNCT
ejpam-3411	45	79	∈	∈	PROPN
ejpam-3411	45	80	ω	ω	NOUN
ejpam-3411	46	1	=	=	PUNCT
ejpam-3411	47	1	[	[	X
ejpam-3411	47	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	47	3	r	r	NOUN
ejpam-3411	47	4	,	,	PUNCT
ejpam-3411	47	5	u	u	PROPN
ejpam-3411	47	6	∈	∈	PROPN
ejpam-3411	47	7	c2	c2	PROPN
ejpam-3411	47	8	(	(	PUNCT
ejpam-3411	47	9	ω	ω	PROPN
ejpam-3411	47	10	)	)	PUNCT
ejpam-3411	47	11	,	,	PUNCT
ejpam-3411	47	12	ϕ	ϕ	PROPN
ejpam-3411	47	13	∈	∈	PROPN
ejpam-3411	47	14	c2	c2	PROPN
ejpam-3411	47	15	(	(	PUNCT
ejpam-3411	47	16	r	r	NOUN
ejpam-3411	47	17	)	)	PUNCT
ejpam-3411	47	18	and	and	CCONJ
ejpam-3411	47	19	ϕ	ϕ	PROPN
ejpam-3411	47	20	verifie	verifie	VERB
ejpam-3411	47	21	the	the	DET
ejpam-3411	47	22	relation	relation	NOUN
ejpam-3411	47	23	:	:	PUNCT
ejpam-3411	47	24	ϕ	ϕ	X
ejpam-3411	47	25	(	(	PUNCT
ejpam-3411	47	26	x	x	X
ejpam-3411	47	27	)	)	PUNCT
ejpam-3411	47	28	=	=	PUNCT
ejpam-3411	47	29	a	a	DET
ejpam-3411	47	30	cosx+b	cosx+b	PROPN
ejpam-3411	47	31	sinx	sinx	PROPN
ejpam-3411	47	32	,	,	PUNCT
ejpam-3411	47	33	a	a	PRON
ejpam-3411	47	34	,	,	PUNCT
ejpam-3411	47	35	b	b	PROPN
ejpam-3411	47	36	∈	∈	PROPN
ejpam-3411	47	37	r.	r.	PROPN
ejpam-3411	47	38	(	(	PUNCT
ejpam-3411	47	39	12	12	NUM
ejpam-3411	47	40	)	)	PUNCT
ejpam-3411	47	41	proof	proof	NOUN
ejpam-3411	47	42	.	.	PUNCT
ejpam-3411	48	1	let	let	VERB
ejpam-3411	48	2	us	we	PRON
ejpam-3411	48	3	consider	consider	VERB
ejpam-3411	48	4	u	u	PROPN
ejpam-3411	48	5	(	(	PUNCT
ejpam-3411	48	6	t	t	PROPN
ejpam-3411	48	7	,	,	PUNCT
ejpam-3411	48	8	x	x	NOUN
ejpam-3411	48	9	)	)	PUNCT
ejpam-3411	48	10	=	=	SYM
ejpam-3411	48	11	exp	exp	NOUN
ejpam-3411	48	12	(	(	PUNCT
ejpam-3411	48	13	−εα2	−εα2	PROPN
ejpam-3411	48	14	t	t	NOUN
ejpam-3411	48	15	)	)	PUNCT
ejpam-3411	48	16	ϕ	ϕ	PROPN
ejpam-3411	48	17	(	(	PUNCT
ejpam-3411	48	18	αx	αx	X
ejpam-3411	48	19	)	)	PUNCT
ejpam-3411	48	20	.	.	PUNCT
ejpam-3411	49	1	where	where	SCONJ
ejpam-3411	49	2	(	(	PUNCT
ejpam-3411	49	3	t	t	PROPN
ejpam-3411	49	4	,	,	PUNCT
ejpam-3411	49	5	x	x	NOUN
ejpam-3411	49	6	)	)	PUNCT
ejpam-3411	49	7	∈	∈	PROPN
ejpam-3411	49	8	ω	ω	NOUN
ejpam-3411	49	9	=	=	PUNCT
ejpam-3411	50	1	[	[	X
ejpam-3411	50	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	50	3	r	r	NOUN
ejpam-3411	50	4	,	,	PUNCT
ejpam-3411	50	5	u	u	PROPN
ejpam-3411	50	6	∈	∈	PROPN
ejpam-3411	50	7	c2	c2	PROPN
ejpam-3411	50	8	(	(	PUNCT
ejpam-3411	50	9	ω	ω	PROPN
ejpam-3411	50	10	)	)	PUNCT
ejpam-3411	50	11	,	,	PUNCT
ejpam-3411	50	12	ϕ	ϕ	PROPN
ejpam-3411	50	13	∈	∈	PROPN
ejpam-3411	50	14	c2	c2	PROPN
ejpam-3411	50	15	(	(	PUNCT
ejpam-3411	50	16	r	r	NOUN
ejpam-3411	50	17	)	)	PUNCT
ejpam-3411	50	18	we	we	PRON
ejpam-3411	50	19	obtain	obtain	VERB
ejpam-3411	50	20	:	:	PUNCT
ejpam-3411	50	21	∂	∂	NUM
ejpam-3411	50	22	∂t	∂t	PROPN
ejpam-3411	50	23	exp	exp	NOUN
ejpam-3411	50	24	(	(	PUNCT
ejpam-3411	50	25	−εα2	−εα2	PROPN
ejpam-3411	50	26	t	t	NOUN
ejpam-3411	50	27	)	)	PUNCT
ejpam-3411	50	28	ϕ	ϕ	PROPN
ejpam-3411	50	29	(	(	PUNCT
ejpam-3411	50	30	αx)−	αx)−	PROPN
ejpam-3411	50	31	ε	ε	PROPN
ejpam-3411	50	32	∂	∂	NUM
ejpam-3411	50	33	2	2	NUM
ejpam-3411	50	34	∂x2	∂x2	NOUN
ejpam-3411	50	35	exp	exp	NOUN
ejpam-3411	50	36	(	(	PUNCT
ejpam-3411	50	37	−εα2	−εα2	PROPN
ejpam-3411	50	38	t	t	NOUN
ejpam-3411	50	39	)	)	PUNCT
ejpam-3411	50	40	ϕ	ϕ	PROPN
ejpam-3411	50	41	(	(	PUNCT
ejpam-3411	50	42	αx	αx	X
ejpam-3411	50	43	)	)	PUNCT
ejpam-3411	50	44	=	=	SYM
ejpam-3411	50	45	(	(	PUNCT
ejpam-3411	50	46	−εα2	−εα2	NOUN
ejpam-3411	50	47	)	)	PUNCT
ejpam-3411	50	48	(	(	PUNCT
ejpam-3411	50	49	ϕ	ϕ	X
ejpam-3411	50	50	(	(	PUNCT
ejpam-3411	50	51	αx	αx	X
ejpam-3411	50	52	)	)	PUNCT
ejpam-3411	51	1	+	+	CCONJ
ejpam-3411	51	2	ϕ′′	ϕ′′	PROPN
ejpam-3411	51	3	(	(	PUNCT
ejpam-3411	51	4	αx	αx	NOUN
ejpam-3411	51	5	)	)	PUNCT
ejpam-3411	51	6	)	)	PUNCT
ejpam-3411	51	7	exp	exp	NOUN
ejpam-3411	51	8	(	(	PUNCT
ejpam-3411	51	9	−εα2	−εα2	NOUN
ejpam-3411	51	10	t	t	NOUN
ejpam-3411	51	11	)	)	PUNCT
ejpam-3411	51	12	=	=	SYM
ejpam-3411	51	13	0	0	NUM
ejpam-3411	51	14	y.	y.	PROPN
ejpam-3411	51	15	minoungou	minoungou	PROPN
ejpam-3411	51	16	,	,	PUNCT
ejpam-3411	51	17	m.	m.	NOUN
ejpam-3411	51	18	bagayogo	bagayogo	PROPN
ejpam-3411	51	19	,	,	PUNCT
ejpam-3411	51	20	y.	y.	PROPN
ejpam-3411	51	21	paré	paré	NOUN
ejpam-3411	51	22	/	/	SYM
ejpam-3411	51	23	eur	eur	PROPN
ejpam-3411	51	24	.	.	PUNCT
ejpam-3411	52	1	j.	j.	PROPN
ejpam-3411	52	2	pure	pure	PROPN
ejpam-3411	52	3	appl	appl	PROPN
ejpam-3411	52	4	.	.	PROPN
ejpam-3411	52	5	math	math	PROPN
ejpam-3411	52	6	,	,	PUNCT
ejpam-3411	52	7	12	12	NUM
ejpam-3411	52	8	(	(	PUNCT
ejpam-3411	52	9	2	2	NUM
ejpam-3411	52	10	)	)	PUNCT
ejpam-3411	52	11	(	(	PUNCT
ejpam-3411	52	12	2019	2019	NUM
ejpam-3411	52	13	)	)	PUNCT
ejpam-3411	52	14	,	,	PUNCT
ejpam-3411	52	15	519	519	NUM
ejpam-3411	52	16	-	-	SYM
ejpam-3411	52	17	532	532	NUM
ejpam-3411	52	18	522	522	NUM
ejpam-3411	52	19	⇔	⇔	PROPN
ejpam-3411	52	20	ϕ	ϕ	PROPN
ejpam-3411	52	21	(	(	PUNCT
ejpam-3411	52	22	αx	αx	X
ejpam-3411	52	23	)	)	PUNCT
ejpam-3411	53	1	+	+	CCONJ
ejpam-3411	53	2	ϕ′′	ϕ′′	PROPN
ejpam-3411	53	3	(	(	PUNCT
ejpam-3411	53	4	αx	αx	X
ejpam-3411	53	5	)	)	PUNCT
ejpam-3411	53	6	=	=	SYM
ejpam-3411	53	7	0	0	NUM
ejpam-3411	53	8	⇔	⇔	PROPN
ejpam-3411	53	9	ϕ	ϕ	PROPN
ejpam-3411	53	10	(	(	PUNCT
ejpam-3411	53	11	αx	αx	X
ejpam-3411	53	12	)	)	PUNCT
ejpam-3411	53	13	=	=	SYM
ejpam-3411	53	14	a	a	PRON
ejpam-3411	53	15	cos	cos	X
ejpam-3411	53	16	(	(	PUNCT
ejpam-3411	53	17	αx	αx	X
ejpam-3411	53	18	)	)	PUNCT
ejpam-3411	53	19	+	+	NOUN
ejpam-3411	53	20	b	b	NOUN
ejpam-3411	53	21	sin	sin	NOUN
ejpam-3411	53	22	(	(	PUNCT
ejpam-3411	53	23	αx	αx	NOUN
ejpam-3411	53	24	)	)	PUNCT
ejpam-3411	53	25	hence	hence	ADV
ejpam-3411	53	26	u	u	X
ejpam-3411	53	27	(	(	PUNCT
ejpam-3411	53	28	t	t	PROPN
ejpam-3411	53	29	,	,	PUNCT
ejpam-3411	53	30	x	x	NOUN
ejpam-3411	53	31	)	)	PUNCT
ejpam-3411	53	32	=	=	SYM
ejpam-3411	53	33	exp	exp	NOUN
ejpam-3411	53	34	(	(	PUNCT
ejpam-3411	53	35	−εα2	−εα2	PROPN
ejpam-3411	53	36	t	t	NOUN
ejpam-3411	53	37	)	)	PUNCT
ejpam-3411	53	38	(	(	PUNCT
ejpam-3411	53	39	a	a	DET
ejpam-3411	53	40	cos	cos	PROPN
ejpam-3411	53	41	(	(	PUNCT
ejpam-3411	53	42	αx	αx	X
ejpam-3411	53	43	)	)	PUNCT
ejpam-3411	54	1	+	+	NOUN
ejpam-3411	54	2	b	b	NOUN
ejpam-3411	54	3	sin	sin	NOUN
ejpam-3411	54	4	(	(	PUNCT
ejpam-3411	54	5	αx	αx	NOUN
ejpam-3411	54	6	)	)	PUNCT
ejpam-3411	54	7	)	)	PUNCT
ejpam-3411	54	8	and	and	CCONJ
ejpam-3411	54	9	u	u	X
ejpam-3411	54	10	(	(	PUNCT
ejpam-3411	54	11	0	0	NUM
ejpam-3411	54	12	,	,	PUNCT
ejpam-3411	54	13	x	x	NOUN
ejpam-3411	54	14	)	)	PUNCT
ejpam-3411	54	15	=	=	SYM
ejpam-3411	54	16	ϕ	ϕ	X
ejpam-3411	54	17	(	(	PUNCT
ejpam-3411	54	18	αx	αx	NOUN
ejpam-3411	54	19	)	)	PUNCT
ejpam-3411	54	20	then	then	ADV
ejpam-3411	54	21	u	u	X
ejpam-3411	54	22	(	(	PUNCT
ejpam-3411	54	23	t	t	PROPN
ejpam-3411	54	24	,	,	PUNCT
ejpam-3411	54	25	x	x	NOUN
ejpam-3411	54	26	)	)	PUNCT
ejpam-3411	54	27	=	=	SYM
ejpam-3411	54	28	exp	exp	NOUN
ejpam-3411	54	29	(	(	PUNCT
ejpam-3411	54	30	−εα2	−εα2	PROPN
ejpam-3411	54	31	t	t	NOUN
ejpam-3411	54	32	)	)	PUNCT
ejpam-3411	54	33	(	(	PUNCT
ejpam-3411	54	34	a	a	PRON
ejpam-3411	54	35	cos	cos	PROPN
ejpam-3411	54	36	(	(	PUNCT
ejpam-3411	54	37	αx	αx	X
ejpam-3411	54	38	)	)	PUNCT
ejpam-3411	55	1	+	+	NOUN
ejpam-3411	55	2	b	b	NOUN
ejpam-3411	55	3	sin	sin	NOUN
ejpam-3411	55	4	(	(	PUNCT
ejpam-3411	55	5	αx	αx	NOUN
ejpam-3411	55	6	)	)	PUNCT
ejpam-3411	55	7	)	)	PUNCT
ejpam-3411	55	8	is	be	AUX
ejpam-3411	55	9	the	the	DET
ejpam-3411	55	10	general	general	ADJ
ejpam-3411	55	11	solution	solution	NOUN
ejpam-3411	55	12	of	of	ADP
ejpam-3411	55	13	(	(	PUNCT
ejpam-3411	55	14	10	10	NUM
ejpam-3411	55	15	)	)	PUNCT
ejpam-3411	55	16	with	with	ADP
ejpam-3411	55	17	ϕ	ϕ	PROPN
ejpam-3411	55	18	(	(	PUNCT
ejpam-3411	55	19	αx	αx	X
ejpam-3411	55	20	)	)	PUNCT
ejpam-3411	55	21	=	=	SYM
ejpam-3411	56	1	a	a	DET
ejpam-3411	56	2	cos	cos	X
ejpam-3411	56	3	(	(	PUNCT
ejpam-3411	56	4	αx	αx	X
ejpam-3411	56	5	)	)	PUNCT
ejpam-3411	56	6	+	+	NOUN
ejpam-3411	56	7	b	b	NOUN
ejpam-3411	56	8	sin	sin	NOUN
ejpam-3411	56	9	(	(	PUNCT
ejpam-3411	56	10	αx	αx	X
ejpam-3411	56	11	)	)	PUNCT
ejpam-3411	56	12	,	,	PUNCT
ejpam-3411	56	13	a	a	DET
ejpam-3411	56	14	∈	∈	PROPN
ejpam-3411	56	15	r	r	NOUN
ejpam-3411	56	16	,	,	PUNCT
ejpam-3411	56	17	b	b	PROPN
ejpam-3411	56	18	∈	∈	PROPN
ejpam-3411	56	19	r.	r.	PROPN
ejpam-3411	56	20	2.2	2.2	NUM
ejpam-3411	56	21	.	.	PUNCT
ejpam-3411	57	1	a	a	DET
ejpam-3411	57	2	convection	convection	NOUN
ejpam-3411	57	3	model	model	NOUN
ejpam-3411	57	4	let	let	VERB
ejpam-3411	57	5	us	we	PRON
ejpam-3411	57	6	consider	consider	VERB
ejpam-3411	57	7	the	the	DET
ejpam-3411	57	8	following	follow	VERB
ejpam-3411	57	9	convection	convection	NOUN
ejpam-3411	57	10	model	model	NOUN
ejpam-3411	57	11	with	with	ADP
ejpam-3411	57	12	cauchy	cauchy	PROPN
ejpam-3411	57	13	initial	initial	NOUN
ejpam-3411	58	1	[	[	X
ejpam-3411	58	2	6–8]	6–8]	NUM
ejpam-3411	58	3	∂u	∂u	PROPN
ejpam-3411	58	4	(	(	PUNCT
ejpam-3411	58	5	t	t	PROPN
ejpam-3411	58	6	,	,	PUNCT
ejpam-3411	58	7	x	x	NOUN
ejpam-3411	58	8	)	)	PUNCT
ejpam-3411	58	9	∂t	∂t	PROPN
ejpam-3411	58	10	=	=	SYM
ejpam-3411	58	11	λ	λ	PROPN
ejpam-3411	58	12	∂u	∂u	PROPN
ejpam-3411	58	13	(	(	PUNCT
ejpam-3411	58	14	t	t	PROPN
ejpam-3411	58	15	,	,	PUNCT
ejpam-3411	58	16	x	x	NOUN
ejpam-3411	58	17	)	)	PUNCT
ejpam-3411	58	18	∂x	∂x	PROPN
ejpam-3411	58	19	;	;	PUNCT
ejpam-3411	58	20	λ	λ	X
ejpam-3411	58	21	>	>	X
ejpam-3411	58	22	0	0	NUM
ejpam-3411	58	23	u	u	NOUN
ejpam-3411	58	24	(	(	PUNCT
ejpam-3411	58	25	0	0	NUM
ejpam-3411	58	26	,	,	PUNCT
ejpam-3411	58	27	x	x	NOUN
ejpam-3411	58	28	)	)	PUNCT
ejpam-3411	58	29	=	=	SYM
ejpam-3411	58	30	cosαx;α	cosαx;α	PROPN
ejpam-3411	58	31	6=	6=	ADP
ejpam-3411	58	32	0	0	NUM
ejpam-3411	58	33	(	(	PUNCT
ejpam-3411	58	34	13	13	NUM
ejpam-3411	58	35	)	)	PUNCT
ejpam-3411	58	36	where	where	SCONJ
ejpam-3411	58	37	(	(	PUNCT
ejpam-3411	58	38	t	t	PROPN
ejpam-3411	58	39	,	,	PUNCT
ejpam-3411	58	40	x	x	AUX
ejpam-3411	58	41	)	)	PUNCT
ejpam-3411	58	42	∈	∈	PROPN
ejpam-3411	58	43	ω	ω	NOUN
ejpam-3411	58	44	=	=	PUNCT
ejpam-3411	59	1	[	[	X
ejpam-3411	59	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	59	3	r	r	NOUN
ejpam-3411	59	4	,	,	PUNCT
ejpam-3411	59	5	u	u	PROPN
ejpam-3411	59	6	∈	∈	PROPN
ejpam-3411	59	7	c1	c1	NOUN
ejpam-3411	59	8	(	(	PUNCT
ejpam-3411	59	9	ω	ω	PROPN
ejpam-3411	59	10	)	)	PUNCT
ejpam-3411	59	11	et	et	PROPN
ejpam-3411	59	12	ϕ	ϕ	PROPN
ejpam-3411	59	13	∈	∈	PROPN
ejpam-3411	59	14	c1	c1	NOUN
ejpam-3411	59	15	(	(	PUNCT
ejpam-3411	59	16	r	r	NOUN
ejpam-3411	59	17	)	)	PUNCT
ejpam-3411	59	18	.	.	PUNCT
ejpam-3411	60	1	appliying	appliye	VERB
ejpam-3411	60	2	the	the	DET
ejpam-3411	60	3	sba	sba	PROPN
ejpam-3411	60	4	method	method	NOUN
ejpam-3411	60	5	to	to	ADP
ejpam-3411	60	6	(	(	PUNCT
ejpam-3411	60	7	13	13	NUM
ejpam-3411	60	8	)	)	PUNCT
ejpam-3411	60	9	at	at	ADP
ejpam-3411	60	10	the	the	DET
ejpam-3411	60	11	step	step	NOUN
ejpam-3411	60	12	k	k	X
ejpam-3411	60	13	≥	≥	PROPN
ejpam-3411	60	14	0	0	NUM
ejpam-3411	60	15	.	.	PUNCT
ejpam-3411	61	1	we	we	PRON
ejpam-3411	61	2	obtain	obtain	VERB
ejpam-3411	61	3	the	the	DET
ejpam-3411	61	4	following	follow	VERB
ejpam-3411	61	5	algorithm	algorithm	NOUN
ejpam-3411	61	6	:	:	PUNCT
ejpam-3411	61	7	(	(	PUNCT
ejpam-3411	61	8	psba	psba	NOUN
ejpam-3411	61	9	)	)	PUNCT
ejpam-3411	61	10	:	:	PUNCT
ejpam-3411	61	11			NUM
ejpam-3411	61	12	uk0	uk0	ADJ
ejpam-3411	61	13	(	(	PUNCT
ejpam-3411	61	14	t	t	PROPN
ejpam-3411	61	15	,	,	PUNCT
ejpam-3411	61	16	x	x	NOUN
ejpam-3411	61	17	)	)	PUNCT
ejpam-3411	61	18	=	=	SYM
ejpam-3411	61	19	cosαx	cosαx	PROPN
ejpam-3411	61	20	ukn+1	ukn+1	PROPN
ejpam-3411	61	21	(	(	PUNCT
ejpam-3411	61	22	t	t	PROPN
ejpam-3411	61	23	,	,	PUNCT
ejpam-3411	61	24	x	x	NOUN
ejpam-3411	61	25	)	)	PUNCT
ejpam-3411	61	26	=	=	SYM
ejpam-3411	62	1	λ	λ	NOUN
ejpam-3411	62	2	∫	∫	PROPN
ejpam-3411	62	3	t	t	PROPN
ejpam-3411	62	4	0	0	NUM
ejpam-3411	62	5	∂ukn	∂ukn	NUM
ejpam-3411	62	6	(	(	PUNCT
ejpam-3411	62	7	s	s	PROPN
ejpam-3411	62	8	,	,	PUNCT
ejpam-3411	62	9	x	x	NOUN
ejpam-3411	62	10	)	)	PUNCT
ejpam-3411	62	11	∂x	∂x	PROPN
ejpam-3411	62	12	ds	ds	NOUN
ejpam-3411	62	13	,	,	PUNCT
ejpam-3411	62	14	n	n	PRON
ejpam-3411	62	15	≥	≥	NOUN
ejpam-3411	62	16	0	0	NUM
ejpam-3411	62	17	(	(	PUNCT
ejpam-3411	62	18	14	14	NUM
ejpam-3411	62	19	)	)	PUNCT
ejpam-3411	62	20	let	let	VERB
ejpam-3411	62	21	us	we	PRON
ejpam-3411	62	22	calculate	calculate	VERB
ejpam-3411	62	23	the	the	DET
ejpam-3411	62	24	following	following	ADJ
ejpam-3411	62	25	terms	term	NOUN
ejpam-3411	62	26	:	:	PUNCT
ejpam-3411	62	27	uk1	uk1	PROPN
ejpam-3411	62	28	(	(	PUNCT
ejpam-3411	62	29	t	t	PROPN
ejpam-3411	62	30	,	,	PUNCT
ejpam-3411	62	31	x	x	NOUN
ejpam-3411	62	32	)	)	PUNCT
ejpam-3411	62	33	,	,	PUNCT
ejpam-3411	62	34	uk2	uk2	PROPN
ejpam-3411	62	35	(	(	PUNCT
ejpam-3411	62	36	t	t	PROPN
ejpam-3411	62	37	,	,	PUNCT
ejpam-3411	62	38	x	x	NOUN
ejpam-3411	62	39	)	)	PUNCT
ejpam-3411	62	40	,	,	PUNCT
ejpam-3411	62	41	uk3	uk3	PROPN
ejpam-3411	62	42	(	(	PUNCT
ejpam-3411	62	43	t	t	PROPN
ejpam-3411	62	44	,	,	PUNCT
ejpam-3411	62	45	x	x	NOUN
ejpam-3411	62	46	)	)	PUNCT
ejpam-3411	62	47	,	,	PUNCT
ejpam-3411	62	48	...	...	PUNCT
ejpam-3411	63	1			PROPN
ejpam-3411	63	2	uk0	uk0	ADJ
ejpam-3411	63	3	(	(	PUNCT
ejpam-3411	63	4	t	t	PROPN
ejpam-3411	63	5	,	,	PUNCT
ejpam-3411	63	6	x	x	NOUN
ejpam-3411	63	7	)	)	PUNCT
ejpam-3411	63	8	=	=	SYM
ejpam-3411	63	9	cosαx	cosαx	PROPN
ejpam-3411	63	10	uk1	uk1	PROPN
ejpam-3411	63	11	(	(	PUNCT
ejpam-3411	63	12	t	t	PROPN
ejpam-3411	63	13	,	,	PUNCT
ejpam-3411	63	14	x	x	NOUN
ejpam-3411	63	15	)	)	PUNCT
ejpam-3411	63	16	=	=	PUNCT
ejpam-3411	63	17	−tαλ	−tαλ	PROPN
ejpam-3411	63	18	sinαx	sinαx	PROPN
ejpam-3411	63	19	uk2	uk2	PROPN
ejpam-3411	63	20	(	(	PUNCT
ejpam-3411	63	21	t	t	PROPN
ejpam-3411	63	22	,	,	PUNCT
ejpam-3411	63	23	x	x	NOUN
ejpam-3411	63	24	)	)	PUNCT
ejpam-3411	63	25	=	=	SYM
ejpam-3411	63	26	−(tαλ)2	−(tαλ)2	NOUN
ejpam-3411	63	27	2	2	NUM
ejpam-3411	63	28	!	!	X
ejpam-3411	63	29	cosαx	cosαx	PROPN
ejpam-3411	63	30	uk3	uk3	PROPN
ejpam-3411	63	31	(	(	PUNCT
ejpam-3411	63	32	t	t	PROPN
ejpam-3411	63	33	,	,	PUNCT
ejpam-3411	63	34	x	x	NOUN
ejpam-3411	63	35	)	)	PUNCT
ejpam-3411	63	36	=	=	SYM
ejpam-3411	63	37	(	(	PUNCT
ejpam-3411	63	38	αλt)3	αλt)3	NOUN
ejpam-3411	63	39	3	3	NUM
ejpam-3411	63	40	!	!	PUNCT
ejpam-3411	63	41	sinαx	sinαx	PROPN
ejpam-3411	64	1	uk4	uk4	PROPN
ejpam-3411	64	2	(	(	PUNCT
ejpam-3411	64	3	t	t	PROPN
ejpam-3411	64	4	,	,	PUNCT
ejpam-3411	64	5	x	x	NOUN
ejpam-3411	64	6	)	)	PUNCT
ejpam-3411	64	7	=	=	SYM
ejpam-3411	64	8	(	(	PUNCT
ejpam-3411	64	9	αλt)4	αλt)4	PROPN
ejpam-3411	64	10	4	4	NUM
ejpam-3411	64	11	!	!	PUNCT
ejpam-3411	64	12	cosαx	cosαx	PROPN
ejpam-3411	64	13	uk5	uk5	PROPN
ejpam-3411	64	14	(	(	PUNCT
ejpam-3411	64	15	t	t	PROPN
ejpam-3411	64	16	,	,	PUNCT
ejpam-3411	64	17	x	x	NOUN
ejpam-3411	64	18	)	)	PUNCT
ejpam-3411	64	19	=	=	SYM
ejpam-3411	64	20	−(αλt)5	−(αλt)5	NOUN
ejpam-3411	64	21	5	5	NUM
ejpam-3411	64	22	!	!	PUNCT
ejpam-3411	64	23	sinαx	sinαx	NOUN
ejpam-3411	64	24	uk6	uk6	NOUN
ejpam-3411	64	25	(	(	PUNCT
ejpam-3411	64	26	t	t	PROPN
ejpam-3411	64	27	,	,	PUNCT
ejpam-3411	64	28	x	x	NOUN
ejpam-3411	64	29	)	)	PUNCT
ejpam-3411	64	30	=	=	NOUN
ejpam-3411	64	31	−(αλt)6	−(αλt)6	ADP
ejpam-3411	64	32	6	6	NUM
ejpam-3411	64	33	!	!	PUNCT
ejpam-3411	64	34	cosαx	cosαx	NOUN
ejpam-3411	64	35	...	...	PUNCT
ejpam-3411	65	1	uk2n	uk2n	PROPN
ejpam-3411	65	2	(	(	PUNCT
ejpam-3411	65	3	t	t	PROPN
ejpam-3411	65	4	,	,	PUNCT
ejpam-3411	65	5	x	x	NOUN
ejpam-3411	65	6	)	)	PUNCT
ejpam-3411	65	7	=	=	SYM
ejpam-3411	65	8	(	(	PUNCT
ejpam-3411	65	9	−1)n	−1)n	X
ejpam-3411	65	10	(	(	PUNCT
ejpam-3411	65	11	αλt)2n	αλt)2n	NOUN
ejpam-3411	65	12	(	(	PUNCT
ejpam-3411	65	13	2n	2n	NUM
ejpam-3411	65	14	)	)	PUNCT
ejpam-3411	65	15	!	!	PUNCT
ejpam-3411	66	1	cosαx	cosαx	NOUN
ejpam-3411	66	2	;	;	PUNCT
ejpam-3411	66	3	n	n	PRON
ejpam-3411	67	1	≥	≥	NOUN
ejpam-3411	67	2	0	0	NUM
ejpam-3411	67	3	uk2n+1	uk2n+1	PROPN
ejpam-3411	67	4	(	(	PUNCT
ejpam-3411	67	5	t	t	PROPN
ejpam-3411	67	6	,	,	PUNCT
ejpam-3411	67	7	x	x	NOUN
ejpam-3411	67	8	)	)	PUNCT
ejpam-3411	67	9	=	=	SYM
ejpam-3411	67	10	−	−	PROPN
ejpam-3411	67	11	(	(	PUNCT
ejpam-3411	67	12	−1	−1	NOUN
ejpam-3411	67	13	)	)	PUNCT
ejpam-3411	67	14	n	n	CCONJ
ejpam-3411	67	15	(	(	PUNCT
ejpam-3411	67	16	αλt)2n+1	αλt)2n+1	NUM
ejpam-3411	67	17	(	(	PUNCT
ejpam-3411	67	18	2n+	2n+	NUM
ejpam-3411	67	19	1	1	NUM
ejpam-3411	67	20	)	)	PUNCT
ejpam-3411	67	21	!	!	PUNCT
ejpam-3411	68	1	sinαx	sinαx	NOUN
ejpam-3411	68	2	;	;	PUNCT
ejpam-3411	68	3	n	n	PRON
ejpam-3411	68	4	≥	≥	NOUN
ejpam-3411	68	5	0	0	NUM
ejpam-3411	68	6	then	then	ADV
ejpam-3411	68	7	y.	y.	PROPN
ejpam-3411	68	8	minoungou	minoungou	PROPN
ejpam-3411	68	9	,	,	PUNCT
ejpam-3411	68	10	m.	m.	NOUN
ejpam-3411	68	11	bagayogo	bagayogo	PROPN
ejpam-3411	68	12	,	,	PUNCT
ejpam-3411	68	13	y.	y.	PROPN
ejpam-3411	68	14	paré	paré	NOUN
ejpam-3411	68	15	/	/	SYM
ejpam-3411	68	16	eur	eur	PROPN
ejpam-3411	68	17	.	.	PUNCT
ejpam-3411	69	1	j.	j.	PROPN
ejpam-3411	69	2	pure	pure	PROPN
ejpam-3411	69	3	appl	appl	PROPN
ejpam-3411	69	4	.	.	PROPN
ejpam-3411	69	5	math	math	PROPN
ejpam-3411	69	6	,	,	PUNCT
ejpam-3411	69	7	12	12	NUM
ejpam-3411	69	8	(	(	PUNCT
ejpam-3411	69	9	2	2	NUM
ejpam-3411	69	10	)	)	PUNCT
ejpam-3411	69	11	(	(	PUNCT
ejpam-3411	69	12	2019	2019	NUM
ejpam-3411	69	13	)	)	PUNCT
ejpam-3411	69	14	,	,	PUNCT
ejpam-3411	69	15	519	519	NUM
ejpam-3411	69	16	-	-	SYM
ejpam-3411	69	17	532	532	NUM
ejpam-3411	69	18	523	523	NUM
ejpam-3411	69	19	uk	uk	PROPN
ejpam-3411	69	20	(	(	PUNCT
ejpam-3411	69	21	t	t	PROPN
ejpam-3411	69	22	,	,	PUNCT
ejpam-3411	69	23	x	x	NOUN
ejpam-3411	69	24	)	)	PUNCT
ejpam-3411	69	25	=	=	SYM
ejpam-3411	69	26	lim	lim	PROPN
ejpam-3411	69	27	n→+∞	n→+∞	VERB
ejpam-3411	69	28	cosαx	cosαx	NOUN
ejpam-3411	69	29	m∑	m∑	CCONJ
ejpam-3411	69	30	n=0	n=0	NUM
ejpam-3411	69	31	(	(	PUNCT
ejpam-3411	69	32	−1)n	−1)n	X
ejpam-3411	69	33	(	(	PUNCT
ejpam-3411	69	34	αλt)2n	αλt)2n	NOUN
ejpam-3411	69	35	(	(	PUNCT
ejpam-3411	69	36	2n	2n	NUM
ejpam-3411	69	37	)	)	PUNCT
ejpam-3411	69	38	!	!	PUNCT
ejpam-3411	70	1	−	−	PROPN
ejpam-3411	71	1	lim	lim	PROPN
ejpam-3411	71	2	n→+∞	n→+∞	PROPN
ejpam-3411	71	3	sinαx	sinαx	NOUN
ejpam-3411	71	4	m∑	m∑	ADP
ejpam-3411	71	5	n=0	n=0	NUM
ejpam-3411	71	6	(	(	PUNCT
ejpam-3411	71	7	−1)n	−1)n	X
ejpam-3411	71	8	(	(	PUNCT
ejpam-3411	71	9	αλt)2n+1	αλt)2n+1	NUM
ejpam-3411	71	10	(	(	PUNCT
ejpam-3411	71	11	2n+	2n+	NUM
ejpam-3411	71	12	1	1	NUM
ejpam-3411	71	13	)	)	PUNCT
ejpam-3411	71	14	!	!	PUNCT
ejpam-3411	72	1	we	we	PRON
ejpam-3411	72	2	obtain	obtain	VERB
ejpam-3411	72	3	the	the	DET
ejpam-3411	72	4	exact	exact	ADJ
ejpam-3411	72	5	solution	solution	NOUN
ejpam-3411	72	6	of	of	ADP
ejpam-3411	72	7	the	the	DET
ejpam-3411	72	8	problem	problem	NOUN
ejpam-3411	72	9	(	(	PUNCT
ejpam-3411	72	10	13	13	NUM
ejpam-3411	72	11	)	)	PUNCT
ejpam-3411	72	12	u	u	NOUN
ejpam-3411	72	13	(	(	PUNCT
ejpam-3411	72	14	t	t	PROPN
ejpam-3411	72	15	,	,	PUNCT
ejpam-3411	72	16	x	x	NOUN
ejpam-3411	72	17	)	)	PUNCT
ejpam-3411	72	18	=	=	SYM
ejpam-3411	72	19	cos	cos	PROPN
ejpam-3411	72	20	(	(	PUNCT
ejpam-3411	72	21	α	α	X
ejpam-3411	72	22	(	(	PUNCT
ejpam-3411	72	23	x+	x+	ADJ
ejpam-3411	72	24	λt	λt	ADP
ejpam-3411	72	25	)	)	PUNCT
ejpam-3411	72	26	)	)	PUNCT
ejpam-3411	72	27	.	.	PUNCT
ejpam-3411	73	1	(	(	PUNCT
ejpam-3411	73	2	15	15	NUM
ejpam-3411	73	3	)	)	PUNCT
ejpam-3411	73	4	proposition	proposition	NOUN
ejpam-3411	73	5	2	2	NUM
ejpam-3411	73	6	.	.	PUNCT
ejpam-3411	74	1	the	the	DET
ejpam-3411	74	2	exact	exact	ADJ
ejpam-3411	74	3	solution	solution	NOUN
ejpam-3411	74	4	of	of	ADP
ejpam-3411	74	5	the	the	DET
ejpam-3411	74	6	following	follow	VERB
ejpam-3411	74	7	convection	convection	NOUN
ejpam-3411	74	8	model	model	NOUN
ejpam-3411	74	9	with	with	ADP
ejpam-3411	74	10	cauchy	cauchy	PROPN
ejpam-3411	74	11	initial	initial	ADJ
ejpam-3411	74	12	condition	condition	NOUN
ejpam-3411	74	13			PUNCT
ejpam-3411	74	14	∂u	∂u	PROPN
ejpam-3411	74	15	(	(	PUNCT
ejpam-3411	74	16	t	t	PROPN
ejpam-3411	74	17	,	,	PUNCT
ejpam-3411	74	18	x	x	NOUN
ejpam-3411	74	19	)	)	PUNCT
ejpam-3411	74	20	∂t	∂t	PROPN
ejpam-3411	74	21	=	=	SYM
ejpam-3411	74	22	λ	λ	PROPN
ejpam-3411	74	23	∂u	∂u	PROPN
ejpam-3411	74	24	(	(	PUNCT
ejpam-3411	74	25	t	t	PROPN
ejpam-3411	74	26	,	,	PUNCT
ejpam-3411	74	27	x	x	NOUN
ejpam-3411	74	28	)	)	PUNCT
ejpam-3411	74	29	∂x	∂x	PROPN
ejpam-3411	74	30	,	,	PUNCT
ejpam-3411	74	31	ε	ε	PROPN
ejpam-3411	74	32	>	>	X
ejpam-3411	74	33	0	0	PROPN
ejpam-3411	74	34	,	,	PUNCT
ejpam-3411	74	35	λ	λ	X
ejpam-3411	74	36	>	>	X
ejpam-3411	74	37	0	0	NUM
ejpam-3411	74	38	u	u	NOUN
ejpam-3411	74	39	(	(	PUNCT
ejpam-3411	74	40	0	0	NUM
ejpam-3411	74	41	,	,	PUNCT
ejpam-3411	74	42	x	x	NOUN
ejpam-3411	74	43	)	)	PUNCT
ejpam-3411	74	44	=	=	SYM
ejpam-3411	74	45	ϕ	ϕ	X
ejpam-3411	74	46	(	(	PUNCT
ejpam-3411	74	47	αx	αx	X
ejpam-3411	74	48	)	)	PUNCT
ejpam-3411	74	49	(	(	PUNCT
ejpam-3411	74	50	16	16	NUM
ejpam-3411	74	51	)	)	PUNCT
ejpam-3411	74	52	is	be	AUX
ejpam-3411	74	53	u	u	NOUN
ejpam-3411	74	54	(	(	PUNCT
ejpam-3411	74	55	t	t	PROPN
ejpam-3411	74	56	,	,	PUNCT
ejpam-3411	74	57	x	x	NOUN
ejpam-3411	74	58	)	)	PUNCT
ejpam-3411	74	59	=	=	SYM
ejpam-3411	74	60	ϕ	ϕ	PROPN
ejpam-3411	74	61	(	(	PUNCT
ejpam-3411	74	62	α	α	X
ejpam-3411	74	63	(	(	PUNCT
ejpam-3411	74	64	x+	x+	ADJ
ejpam-3411	74	65	λt	λt	NOUN
ejpam-3411	74	66	)	)	PUNCT
ejpam-3411	74	67	)	)	PUNCT
ejpam-3411	74	68	(	(	PUNCT
ejpam-3411	74	69	17	17	NUM
ejpam-3411	74	70	)	)	PUNCT
ejpam-3411	74	71	where	where	SCONJ
ejpam-3411	74	72	(	(	PUNCT
ejpam-3411	74	73	t	t	PROPN
ejpam-3411	74	74	,	,	PUNCT
ejpam-3411	74	75	x	x	NOUN
ejpam-3411	74	76	)	)	PUNCT
ejpam-3411	74	77	∈	∈	PROPN
ejpam-3411	74	78	ω	ω	NOUN
ejpam-3411	75	1	=	=	PUNCT
ejpam-3411	76	1	[	[	X
ejpam-3411	76	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	76	3	r	r	NOUN
ejpam-3411	76	4	,	,	PUNCT
ejpam-3411	76	5	u	u	PROPN
ejpam-3411	76	6	∈	∈	PROPN
ejpam-3411	76	7	c1	c1	NOUN
ejpam-3411	76	8	(	(	PUNCT
ejpam-3411	76	9	ω	ω	PROPN
ejpam-3411	76	10	)	)	PUNCT
ejpam-3411	76	11	,	,	PUNCT
ejpam-3411	76	12	ϕ	ϕ	PROPN
ejpam-3411	76	13	∈	∈	PROPN
ejpam-3411	76	14	c1	c1	NOUN
ejpam-3411	76	15	(	(	PUNCT
ejpam-3411	76	16	r	r	NOUN
ejpam-3411	76	17	)	)	PUNCT
ejpam-3411	76	18	.	.	PUNCT
ejpam-3411	77	1	proof	proof	NOUN
ejpam-3411	77	2	.	.	PUNCT
ejpam-3411	78	1	let	let	VERB
ejpam-3411	78	2	us	we	PRON
ejpam-3411	78	3	consider	consider	VERB
ejpam-3411	78	4	u	u	PROPN
ejpam-3411	78	5	(	(	PUNCT
ejpam-3411	78	6	t	t	PROPN
ejpam-3411	78	7	,	,	PUNCT
ejpam-3411	78	8	x	x	NOUN
ejpam-3411	78	9	)	)	PUNCT
ejpam-3411	79	1	=	=	SYM
ejpam-3411	79	2	ϕ	ϕ	PROPN
ejpam-3411	79	3	(	(	PUNCT
ejpam-3411	79	4	α	α	X
ejpam-3411	79	5	(	(	PUNCT
ejpam-3411	79	6	x+	x+	ADJ
ejpam-3411	79	7	λt	λt	NOUN
ejpam-3411	79	8	)	)	PUNCT
ejpam-3411	79	9	)	)	PUNCT
ejpam-3411	79	10	.	.	PUNCT
ejpam-3411	80	1	we	we	PRON
ejpam-3411	80	2	obtain	obtain	VERB
ejpam-3411	80	3	:	:	PUNCT
ejpam-3411	80	4	∂	∂	NUM
ejpam-3411	80	5	∂t	∂t	PROPN
ejpam-3411	80	6	ϕ	ϕ	PROPN
ejpam-3411	80	7	(	(	PUNCT
ejpam-3411	80	8	α	α	PROPN
ejpam-3411	80	9	(	(	PUNCT
ejpam-3411	80	10	x+	x+	ADJ
ejpam-3411	80	11	λt))−	λt))−	PROPN
ejpam-3411	80	12	λ	λ	PROPN
ejpam-3411	80	13	∂	∂	NOUN
ejpam-3411	80	14	∂x	∂x	PROPN
ejpam-3411	80	15	ϕ	ϕ	NOUN
ejpam-3411	80	16	(	(	PUNCT
ejpam-3411	80	17	α	α	X
ejpam-3411	80	18	(	(	PUNCT
ejpam-3411	80	19	x+	x+	ADJ
ejpam-3411	80	20	λt	λt	NOUN
ejpam-3411	80	21	)	)	PUNCT
ejpam-3411	80	22	)	)	PUNCT
ejpam-3411	80	23	=	=	SYM
ejpam-3411	81	1	αλϕ′	αλϕ′	NUM
ejpam-3411	81	2	(	(	PUNCT
ejpam-3411	81	3	α	α	NOUN
ejpam-3411	81	4	(	(	PUNCT
ejpam-3411	81	5	x+	x+	ADJ
ejpam-3411	81	6	λt))−	λt))−	NOUN
ejpam-3411	81	7	αλϕ′	αλϕ′	PROPN
ejpam-3411	81	8	(	(	PUNCT
ejpam-3411	81	9	α	α	NOUN
ejpam-3411	81	10	(	(	PUNCT
ejpam-3411	81	11	x+	x+	ADJ
ejpam-3411	81	12	λt	λt	NOUN
ejpam-3411	81	13	)	)	PUNCT
ejpam-3411	81	14	)	)	PUNCT
ejpam-3411	82	1	=	=	SYM
ejpam-3411	82	2	0	0	NUM
ejpam-3411	82	3	∀ϕ	∀ϕ	NUM
ejpam-3411	82	4	∈	∈	PROPN
ejpam-3411	82	5	c2	c2	PROPN
ejpam-3411	82	6	(	(	PUNCT
ejpam-3411	82	7	r	r	NOUN
ejpam-3411	82	8	)	)	PUNCT
ejpam-3411	82	9	and	and	CCONJ
ejpam-3411	82	10	u	u	X
ejpam-3411	82	11	(	(	PUNCT
ejpam-3411	82	12	0	0	NUM
ejpam-3411	82	13	,	,	PUNCT
ejpam-3411	82	14	x	x	NOUN
ejpam-3411	82	15	)	)	PUNCT
ejpam-3411	82	16	=	=	SYM
ejpam-3411	82	17	ϕ	ϕ	X
ejpam-3411	82	18	(	(	PUNCT
ejpam-3411	82	19	αx	αx	X
ejpam-3411	82	20	)	)	PUNCT
ejpam-3411	82	21	in	in	ADP
ejpam-3411	82	22	this	this	DET
ejpam-3411	82	23	case	case	NOUN
ejpam-3411	82	24	,	,	PUNCT
ejpam-3411	82	25	it	it	PRON
ejpam-3411	82	26	is	be	AUX
ejpam-3411	82	27	necessary	necessary	ADJ
ejpam-3411	82	28	and	and	CCONJ
ejpam-3411	82	29	sufficient	sufficient	ADJ
ejpam-3411	82	30	that	that	SCONJ
ejpam-3411	82	31	the	the	DET
ejpam-3411	82	32	function	function	NOUN
ejpam-3411	82	33	ϕ	ϕ	PROPN
ejpam-3411	82	34	∈	∈	PROPN
ejpam-3411	82	35	c1	c1	NOUN
ejpam-3411	82	36	(	(	PUNCT
ejpam-3411	82	37	r	r	NOUN
ejpam-3411	82	38	)	)	PUNCT
ejpam-3411	82	39	.	.	PUNCT
ejpam-3411	83	1	hence	hence	ADV
ejpam-3411	83	2	u	u	PROPN
ejpam-3411	83	3	(	(	PUNCT
ejpam-3411	83	4	t	t	PROPN
ejpam-3411	83	5	,	,	PUNCT
ejpam-3411	83	6	x	x	NOUN
ejpam-3411	83	7	)	)	PUNCT
ejpam-3411	83	8	=	=	SYM
ejpam-3411	83	9	ϕ	ϕ	PROPN
ejpam-3411	83	10	(	(	PUNCT
ejpam-3411	83	11	α	α	X
ejpam-3411	83	12	(	(	PUNCT
ejpam-3411	83	13	x+	x+	ADJ
ejpam-3411	83	14	λt	λt	NOUN
ejpam-3411	83	15	)	)	PUNCT
ejpam-3411	83	16	)	)	PUNCT
ejpam-3411	83	17	is	be	AUX
ejpam-3411	83	18	the	the	DET
ejpam-3411	83	19	general	general	ADJ
ejpam-3411	83	20	solution	solution	NOUN
ejpam-3411	83	21	of	of	ADP
ejpam-3411	83	22	(	(	PUNCT
ejpam-3411	83	23	16	16	NUM
ejpam-3411	83	24	)	)	PUNCT
ejpam-3411	83	25	.	.	PUNCT
ejpam-3411	84	1	2.3	2.3	NUM
ejpam-3411	84	2	.	.	PUNCT
ejpam-3411	85	1	a	a	DET
ejpam-3411	85	2	reaction	reaction	NOUN
ejpam-3411	85	3	model	model	NOUN
ejpam-3411	85	4	let	let	VERB
ejpam-3411	85	5	us	we	PRON
ejpam-3411	85	6	consider	consider	VERB
ejpam-3411	85	7	the	the	DET
ejpam-3411	85	8	following	follow	VERB
ejpam-3411	85	9	reaction	reaction	NOUN
ejpam-3411	85	10	model	model	NOUN
ejpam-3411	85	11	cauchy	cauchy	PROPN
ejpam-3411	85	12	type	type	NOUN
ejpam-3411	86	1	[	[	X
ejpam-3411	86	2	6]	6]	NUM
ejpam-3411	86	3	∂u	∂u	PROPN
ejpam-3411	86	4	(	(	PUNCT
ejpam-3411	86	5	t	t	PROPN
ejpam-3411	86	6	,	,	PUNCT
ejpam-3411	86	7	x	x	NOUN
ejpam-3411	86	8	)	)	PUNCT
ejpam-3411	86	9	∂t	∂t	PROPN
ejpam-3411	86	10	=	=	PUNCT
ejpam-3411	86	11	γu	γu	PROPN
ejpam-3411	86	12	(	(	PUNCT
ejpam-3411	86	13	t	t	PROPN
ejpam-3411	86	14	,	,	PUNCT
ejpam-3411	86	15	x	x	NOUN
ejpam-3411	86	16	)	)	PUNCT
ejpam-3411	86	17	,	,	PUNCT
ejpam-3411	86	18	γ	γ	X
ejpam-3411	86	19	>	>	X
ejpam-3411	86	20	0	0	NUM
ejpam-3411	86	21	u	u	NOUN
ejpam-3411	86	22	(	(	PUNCT
ejpam-3411	86	23	0	0	NUM
ejpam-3411	86	24	,	,	PUNCT
ejpam-3411	86	25	x	x	NOUN
ejpam-3411	86	26	)	)	PUNCT
ejpam-3411	86	27	=	=	SYM
ejpam-3411	86	28	sinαx	sinαx	NOUN
ejpam-3411	86	29	(	(	PUNCT
ejpam-3411	86	30	18	18	NUM
ejpam-3411	86	31	)	)	PUNCT
ejpam-3411	86	32	where	where	SCONJ
ejpam-3411	86	33	(	(	PUNCT
ejpam-3411	86	34	t	t	PROPN
ejpam-3411	86	35	,	,	PUNCT
ejpam-3411	86	36	x	x	NOUN
ejpam-3411	86	37	)	)	PUNCT
ejpam-3411	86	38	∈	∈	PROPN
ejpam-3411	86	39	ω	ω	NOUN
ejpam-3411	86	40	=	=	PUNCT
ejpam-3411	87	1	[	[	X
ejpam-3411	87	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	87	3	r	r	NOUN
ejpam-3411	87	4	,	,	PUNCT
ejpam-3411	87	5	u	u	PROPN
ejpam-3411	87	6	∈	∈	PROPN
ejpam-3411	87	7	c1	c1	NOUN
ejpam-3411	87	8	(	(	PUNCT
ejpam-3411	87	9	ω	ω	PROPN
ejpam-3411	87	10	)	)	PUNCT
ejpam-3411	87	11	et	et	PROPN
ejpam-3411	87	12	ϕ	ϕ	PROPN
ejpam-3411	87	13	∈	∈	PROPN
ejpam-3411	87	14	c1	c1	NOUN
ejpam-3411	87	15	(	(	PUNCT
ejpam-3411	87	16	r	r	NOUN
ejpam-3411	87	17	)	)	PUNCT
ejpam-3411	87	18	.	.	PUNCT
ejpam-3411	88	1	appliying	appliye	VERB
ejpam-3411	88	2	the	the	DET
ejpam-3411	88	3	sba	sba	PROPN
ejpam-3411	88	4	algorithm	algorithm	NOUN
ejpam-3411	88	5	to	to	ADP
ejpam-3411	88	6	(	(	PUNCT
ejpam-3411	88	7	18	18	NUM
ejpam-3411	88	8	)	)	PUNCT
ejpam-3411	88	9	at	at	ADP
ejpam-3411	88	10	the	the	DET
ejpam-3411	88	11	step	step	NOUN
ejpam-3411	88	12	k	k	PROPN
ejpam-3411	88	13	≥	≥	PROPN
ejpam-3411	88	14	0	0	NUM
ejpam-3411	88	15	,	,	PUNCT
ejpam-3411	88	16	we	we	PRON
ejpam-3411	88	17	obtain	obtain	VERB
ejpam-3411	88	18	the	the	DET
ejpam-3411	88	19	following	follow	VERB
ejpam-3411	88	20	algorithm	algorithm	NOUN
ejpam-3411	88	21	:	:	PUNCT
ejpam-3411	88	22	(	(	PUNCT
ejpam-3411	88	23	psba	psba	NOUN
ejpam-3411	88	24	)	)	PUNCT
ejpam-3411	88	25	:	:	PUNCT
ejpam-3411	88	26			NUM
ejpam-3411	88	27	uk0	uk0	ADJ
ejpam-3411	88	28	(	(	PUNCT
ejpam-3411	88	29	t	t	PROPN
ejpam-3411	88	30	,	,	PUNCT
ejpam-3411	88	31	x	x	NOUN
ejpam-3411	88	32	)	)	PUNCT
ejpam-3411	88	33	=	=	SYM
ejpam-3411	88	34	sinαx	sinαx	PROPN
ejpam-3411	88	35	ukn+1	ukn+1	PROPN
ejpam-3411	88	36	(	(	PUNCT
ejpam-3411	88	37	t	t	PROPN
ejpam-3411	88	38	,	,	PUNCT
ejpam-3411	88	39	x	x	NOUN
ejpam-3411	88	40	)	)	PUNCT
ejpam-3411	88	41	=	=	SYM
ejpam-3411	88	42	γ	γ	X
ejpam-3411	88	43	∫	∫	PROPN
ejpam-3411	88	44	t	t	PROPN
ejpam-3411	88	45	0	0	NUM
ejpam-3411	88	46	ukn	ukn	PROPN
ejpam-3411	88	47	(	(	PUNCT
ejpam-3411	88	48	s	s	PROPN
ejpam-3411	88	49	,	,	PUNCT
ejpam-3411	88	50	x	x	NOUN
ejpam-3411	88	51	)	)	PUNCT
ejpam-3411	88	52	ds	ds	PROPN
ejpam-3411	88	53	,	,	PUNCT
ejpam-3411	88	54	n	n	PRON
ejpam-3411	88	55	≥	≥	NOUN
ejpam-3411	88	56	0	0	NUM
ejpam-3411	88	57	(	(	PUNCT
ejpam-3411	88	58	19	19	NUM
ejpam-3411	88	59	)	)	PUNCT
ejpam-3411	88	60	y.	y.	NOUN
ejpam-3411	88	61	minoungou	minoungou	PROPN
ejpam-3411	88	62	,	,	PUNCT
ejpam-3411	88	63	m.	m.	NOUN
ejpam-3411	88	64	bagayogo	bagayogo	PROPN
ejpam-3411	88	65	,	,	PUNCT
ejpam-3411	88	66	y.	y.	PROPN
ejpam-3411	88	67	paré	paré	NOUN
ejpam-3411	88	68	/	/	SYM
ejpam-3411	88	69	eur	eur	PROPN
ejpam-3411	88	70	.	.	PUNCT
ejpam-3411	89	1	j.	j.	PROPN
ejpam-3411	89	2	pure	pure	PROPN
ejpam-3411	89	3	appl	appl	PROPN
ejpam-3411	89	4	.	.	PROPN
ejpam-3411	89	5	math	math	PROPN
ejpam-3411	89	6	,	,	PUNCT
ejpam-3411	89	7	12	12	NUM
ejpam-3411	89	8	(	(	PUNCT
ejpam-3411	89	9	2	2	NUM
ejpam-3411	89	10	)	)	PUNCT
ejpam-3411	89	11	(	(	PUNCT
ejpam-3411	89	12	2019	2019	NUM
ejpam-3411	89	13	)	)	PUNCT
ejpam-3411	89	14	,	,	PUNCT
ejpam-3411	89	15	519	519	NUM
ejpam-3411	89	16	-	-	SYM
ejpam-3411	89	17	532	532	NUM
ejpam-3411	89	18	524	524	NUM
ejpam-3411	89	19	let	let	VERB
ejpam-3411	89	20	us	we	PRON
ejpam-3411	89	21	calculate	calculate	VERB
ejpam-3411	89	22	the	the	DET
ejpam-3411	89	23	following	following	ADJ
ejpam-3411	89	24	terms	term	NOUN
ejpam-3411	89	25	:	:	PUNCT
ejpam-3411	89	26	uk1	uk1	PROPN
ejpam-3411	89	27	(	(	PUNCT
ejpam-3411	89	28	t	t	PROPN
ejpam-3411	89	29	,	,	PUNCT
ejpam-3411	89	30	x	x	NOUN
ejpam-3411	89	31	)	)	PUNCT
ejpam-3411	89	32	,	,	PUNCT
ejpam-3411	89	33	uk2	uk2	PROPN
ejpam-3411	89	34	(	(	PUNCT
ejpam-3411	89	35	t	t	PROPN
ejpam-3411	89	36	,	,	PUNCT
ejpam-3411	89	37	x	x	NOUN
ejpam-3411	89	38	)	)	PUNCT
ejpam-3411	89	39	,	,	PUNCT
ejpam-3411	89	40	uk3	uk3	PROPN
ejpam-3411	89	41	(	(	PUNCT
ejpam-3411	89	42	t	t	PROPN
ejpam-3411	89	43	,	,	PUNCT
ejpam-3411	89	44	x	x	NOUN
ejpam-3411	89	45	)	)	PUNCT
ejpam-3411	89	46	,	,	PUNCT
ejpam-3411	89	47	...	...	PUNCT
ejpam-3411	89	48			NOUN
ejpam-3411	89	49	uk0	uk0	NOUN
ejpam-3411	89	50	(	(	PUNCT
ejpam-3411	89	51	t	t	PROPN
ejpam-3411	89	52	,	,	PUNCT
ejpam-3411	89	53	x	x	NOUN
ejpam-3411	89	54	)	)	PUNCT
ejpam-3411	89	55	=	=	SYM
ejpam-3411	89	56	sinαx	sinαx	PROPN
ejpam-3411	89	57	uk1	uk1	PROPN
ejpam-3411	89	58	(	(	PUNCT
ejpam-3411	89	59	t	t	PROPN
ejpam-3411	89	60	,	,	PUNCT
ejpam-3411	89	61	x	x	NOUN
ejpam-3411	89	62	)	)	PUNCT
ejpam-3411	89	63	=	=	SYM
ejpam-3411	89	64	γt	γt	PROPN
ejpam-3411	89	65	sinαx	sinαx	PROPN
ejpam-3411	89	66	uk2	uk2	PROPN
ejpam-3411	89	67	(	(	PUNCT
ejpam-3411	89	68	t	t	PROPN
ejpam-3411	89	69	,	,	PUNCT
ejpam-3411	89	70	x	x	NOUN
ejpam-3411	89	71	)	)	PUNCT
ejpam-3411	89	72	=	=	SYM
ejpam-3411	90	1	(	(	PUNCT
ejpam-3411	90	2	γt)2	γt)2	PROPN
ejpam-3411	90	3	2	2	NUM
ejpam-3411	90	4	!	!	PUNCT
ejpam-3411	90	5	sinαx	sinαx	PROPN
ejpam-3411	90	6	uk3	uk3	PROPN
ejpam-3411	90	7	(	(	PUNCT
ejpam-3411	90	8	t	t	PROPN
ejpam-3411	90	9	,	,	PUNCT
ejpam-3411	90	10	x	x	NOUN
ejpam-3411	90	11	)	)	PUNCT
ejpam-3411	90	12	=	=	SYM
ejpam-3411	91	1	(	(	PUNCT
ejpam-3411	91	2	γt)3	γt)3	NOUN
ejpam-3411	91	3	3	3	X
ejpam-3411	91	4	!	!	PUNCT
ejpam-3411	92	1	sinαx	sinαx	PROPN
ejpam-3411	92	2	uk4	uk4	PROPN
ejpam-3411	92	3	(	(	PUNCT
ejpam-3411	92	4	t	t	PROPN
ejpam-3411	92	5	,	,	PUNCT
ejpam-3411	92	6	x	x	NOUN
ejpam-3411	92	7	)	)	PUNCT
ejpam-3411	92	8	=	=	SYM
ejpam-3411	92	9	(	(	PUNCT
ejpam-3411	92	10	γt)4	γt)4	PROPN
ejpam-3411	92	11	4	4	NUM
ejpam-3411	92	12	!	!	PUNCT
ejpam-3411	92	13	sinαx	sinαx	PROPN
ejpam-3411	92	14	uk5	uk5	PROPN
ejpam-3411	92	15	(	(	PUNCT
ejpam-3411	92	16	t	t	PROPN
ejpam-3411	92	17	,	,	PUNCT
ejpam-3411	92	18	x	x	NOUN
ejpam-3411	92	19	)	)	PUNCT
ejpam-3411	92	20	=	=	SYM
ejpam-3411	92	21	(	(	PUNCT
ejpam-3411	92	22	γt)5	γt)5	PROPN
ejpam-3411	92	23	5	5	NUM
ejpam-3411	92	24	!	!	PUNCT
ejpam-3411	92	25	sinαx	sinαx	NOUN
ejpam-3411	92	26	...	...	PUNCT
ejpam-3411	92	27	...	...	PUNCT
ejpam-3411	93	1	ukn	ukn	PROPN
ejpam-3411	93	2	(	(	PUNCT
ejpam-3411	93	3	t	t	PROPN
ejpam-3411	93	4	,	,	PUNCT
ejpam-3411	93	5	x	x	NOUN
ejpam-3411	93	6	)	)	PUNCT
ejpam-3411	93	7	=	=	SYM
ejpam-3411	93	8	(	(	PUNCT
ejpam-3411	93	9	γt)n	γt)n	PROPN
ejpam-3411	93	10	n	n	CCONJ
ejpam-3411	93	11	!	!	PUNCT
ejpam-3411	93	12	sinαx	sinαx	PROPN
ejpam-3411	93	13	uk	uk	PROPN
ejpam-3411	93	14	(	(	PUNCT
ejpam-3411	93	15	t	t	PROPN
ejpam-3411	93	16	,	,	PUNCT
ejpam-3411	93	17	x	x	NOUN
ejpam-3411	93	18	)	)	PUNCT
ejpam-3411	93	19	=	=	SYM
ejpam-3411	93	20	uk0	uk0	ADJ
ejpam-3411	93	21	(	(	PUNCT
ejpam-3411	93	22	t	t	PROPN
ejpam-3411	93	23	,	,	PUNCT
ejpam-3411	93	24	x	x	NOUN
ejpam-3411	93	25	)	)	PUNCT
ejpam-3411	94	1	+	+	NUM
ejpam-3411	94	2	uk1	uk1	PROPN
ejpam-3411	94	3	(	(	PUNCT
ejpam-3411	94	4	t	t	PROPN
ejpam-3411	94	5	,	,	PUNCT
ejpam-3411	94	6	x	x	NOUN
ejpam-3411	94	7	)	)	PUNCT
ejpam-3411	95	1	+	+	CCONJ
ejpam-3411	95	2	uk2	uk2	PROPN
ejpam-3411	95	3	(	(	PUNCT
ejpam-3411	95	4	t	t	PROPN
ejpam-3411	95	5	,	,	PUNCT
ejpam-3411	95	6	x	x	NOUN
ejpam-3411	95	7	)	)	PUNCT
ejpam-3411	95	8	+	+	CCONJ
ejpam-3411	95	9	...	...	PUNCT
ejpam-3411	95	10	uk	uk	PROPN
ejpam-3411	95	11	(	(	PUNCT
ejpam-3411	95	12	t	t	PROPN
ejpam-3411	95	13	,	,	PUNCT
ejpam-3411	95	14	x	x	NOUN
ejpam-3411	95	15	)	)	PUNCT
ejpam-3411	95	16	=	=	VERB
ejpam-3411	95	17	sinαx	sinαx	NOUN
ejpam-3411	95	18	+	+	NOUN
ejpam-3411	95	19	∞∑	∞∑	PROPN
ejpam-3411	95	20	n=0	n=0	NUM
ejpam-3411	95	21	(	(	PUNCT
ejpam-3411	95	22	γt)n	γt)n	PROPN
ejpam-3411	95	23	n	n	CCONJ
ejpam-3411	95	24	!	!	PUNCT
ejpam-3411	96	1	then	then	ADV
ejpam-3411	96	2	uk	uk	PROPN
ejpam-3411	96	3	(	(	PUNCT
ejpam-3411	96	4	t	t	PROPN
ejpam-3411	96	5	,	,	PUNCT
ejpam-3411	96	6	x	x	NOUN
ejpam-3411	96	7	)	)	PUNCT
ejpam-3411	96	8	=	=	SYM
ejpam-3411	96	9	exp	exp	NOUN
ejpam-3411	96	10	(	(	PUNCT
ejpam-3411	96	11	γt	γt	NOUN
ejpam-3411	96	12	)	)	PUNCT
ejpam-3411	96	13	sinαx	sinαx	NOUN
ejpam-3411	96	14	we	we	PRON
ejpam-3411	96	15	obtain	obtain	VERB
ejpam-3411	96	16	the	the	DET
ejpam-3411	96	17	exact	exact	ADJ
ejpam-3411	96	18	solution	solution	NOUN
ejpam-3411	96	19	of	of	ADP
ejpam-3411	96	20	the	the	DET
ejpam-3411	96	21	problem	problem	NOUN
ejpam-3411	96	22	(	(	PUNCT
ejpam-3411	96	23	18	18	NUM
ejpam-3411	96	24	)	)	PUNCT
ejpam-3411	96	25	u	u	NOUN
ejpam-3411	96	26	(	(	PUNCT
ejpam-3411	96	27	t	t	PROPN
ejpam-3411	96	28	,	,	PUNCT
ejpam-3411	96	29	x	x	NOUN
ejpam-3411	96	30	)	)	PUNCT
ejpam-3411	96	31	=	=	SYM
ejpam-3411	96	32	exp	exp	NOUN
ejpam-3411	96	33	(	(	PUNCT
ejpam-3411	96	34	γt	γt	NOUN
ejpam-3411	96	35	)	)	PUNCT
ejpam-3411	96	36	sinαx	sinαx	NOUN
ejpam-3411	96	37	(	(	PUNCT
ejpam-3411	96	38	20	20	NUM
ejpam-3411	96	39	)	)	PUNCT
ejpam-3411	96	40	proposition	proposition	NOUN
ejpam-3411	96	41	3	3	NUM
ejpam-3411	96	42	.	.	PUNCT
ejpam-3411	97	1	the	the	DET
ejpam-3411	97	2	exact	exact	ADJ
ejpam-3411	97	3	solution	solution	NOUN
ejpam-3411	97	4	of	of	ADP
ejpam-3411	97	5	the	the	DET
ejpam-3411	97	6	following	follow	VERB
ejpam-3411	97	7	reaction	reaction	NOUN
ejpam-3411	97	8	problem	problem	NOUN
ejpam-3411	97	9	cauchy	cauchy	PROPN
ejpam-3411	97	10	type:	type:	VERB
ejpam-3411	97	11	∂u	∂u	PROPN
ejpam-3411	97	12	(	(	PUNCT
ejpam-3411	97	13	t	t	PROPN
ejpam-3411	97	14	,	,	PUNCT
ejpam-3411	97	15	x	x	NOUN
ejpam-3411	97	16	)	)	PUNCT
ejpam-3411	97	17	∂t	∂t	PROPN
ejpam-3411	97	18	=	=	PUNCT
ejpam-3411	97	19	γu	γu	PROPN
ejpam-3411	97	20	(	(	PUNCT
ejpam-3411	97	21	t	t	PROPN
ejpam-3411	97	22	,	,	PUNCT
ejpam-3411	97	23	x	x	NOUN
ejpam-3411	97	24	)	)	PUNCT
ejpam-3411	97	25	,	,	PUNCT
ejpam-3411	97	26	γ	γ	X
ejpam-3411	97	27	>	>	X
ejpam-3411	97	28	0	0	NUM
ejpam-3411	97	29	u	u	NOUN
ejpam-3411	97	30	(	(	PUNCT
ejpam-3411	97	31	0	0	NUM
ejpam-3411	97	32	,	,	PUNCT
ejpam-3411	97	33	x	x	NOUN
ejpam-3411	97	34	)	)	PUNCT
ejpam-3411	97	35	=	=	SYM
ejpam-3411	97	36	ϕ	ϕ	X
ejpam-3411	97	37	(	(	PUNCT
ejpam-3411	97	38	αx	αx	X
ejpam-3411	97	39	)	)	PUNCT
ejpam-3411	97	40	,	,	PUNCT
ejpam-3411	97	41	α	α	PROPN
ejpam-3411	97	42	6=	6=	ADP
ejpam-3411	97	43	0	0	NUM
ejpam-3411	97	44	(	(	PUNCT
ejpam-3411	97	45	21	21	NUM
ejpam-3411	97	46	)	)	PUNCT
ejpam-3411	97	47	is	be	AUX
ejpam-3411	97	48	u	u	NOUN
ejpam-3411	97	49	(	(	PUNCT
ejpam-3411	97	50	t	t	PROPN
ejpam-3411	97	51	,	,	PUNCT
ejpam-3411	97	52	x	x	NOUN
ejpam-3411	97	53	)	)	PUNCT
ejpam-3411	97	54	=	=	SYM
ejpam-3411	97	55	exp	exp	NOUN
ejpam-3411	97	56	(	(	PUNCT
ejpam-3411	97	57	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	97	58	(	(	PUNCT
ejpam-3411	97	59	αx	αx	NOUN
ejpam-3411	97	60	)	)	PUNCT
ejpam-3411	97	61	(	(	PUNCT
ejpam-3411	97	62	22	22	NUM
ejpam-3411	97	63	)	)	PUNCT
ejpam-3411	97	64	where	where	SCONJ
ejpam-3411	97	65	(	(	PUNCT
ejpam-3411	97	66	t	t	PROPN
ejpam-3411	97	67	,	,	PUNCT
ejpam-3411	97	68	x	x	NOUN
ejpam-3411	97	69	)	)	PUNCT
ejpam-3411	97	70	∈	∈	PROPN
ejpam-3411	97	71	ω	ω	NOUN
ejpam-3411	98	1	=	=	PUNCT
ejpam-3411	99	1	[	[	X
ejpam-3411	99	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	99	3	r	r	NOUN
ejpam-3411	99	4	,	,	PUNCT
ejpam-3411	99	5	u	u	PROPN
ejpam-3411	99	6	∈	∈	PROPN
ejpam-3411	99	7	c1	c1	NOUN
ejpam-3411	99	8	(	(	PUNCT
ejpam-3411	99	9	ω	ω	PROPN
ejpam-3411	99	10	)	)	PUNCT
ejpam-3411	99	11	,	,	PUNCT
ejpam-3411	99	12	ϕ	ϕ	PROPN
ejpam-3411	99	13	∈	∈	PROPN
ejpam-3411	99	14	c1	c1	NOUN
ejpam-3411	99	15	(	(	PUNCT
ejpam-3411	99	16	r	r	NOUN
ejpam-3411	99	17	)	)	PUNCT
ejpam-3411	99	18	.	.	PUNCT
ejpam-3411	100	1	proof	proof	NOUN
ejpam-3411	100	2	.	.	PUNCT
ejpam-3411	101	1	let	let	VERB
ejpam-3411	101	2	us	we	PRON
ejpam-3411	101	3	consider	consider	VERB
ejpam-3411	101	4	u	u	PROPN
ejpam-3411	101	5	(	(	PUNCT
ejpam-3411	101	6	t	t	PROPN
ejpam-3411	101	7	,	,	PUNCT
ejpam-3411	101	8	x	x	NOUN
ejpam-3411	101	9	)	)	PUNCT
ejpam-3411	101	10	=	=	SYM
ejpam-3411	101	11	exp	exp	NOUN
ejpam-3411	101	12	(	(	PUNCT
ejpam-3411	101	13	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	101	14	(	(	PUNCT
ejpam-3411	101	15	αx	αx	NOUN
ejpam-3411	101	16	)	)	PUNCT
ejpam-3411	101	17	,	,	PUNCT
ejpam-3411	101	18	we	we	PRON
ejpam-3411	101	19	obtain	obtain	VERB
ejpam-3411	101	20	:	:	PUNCT
ejpam-3411	101	21	∂	∂	NUM
ejpam-3411	101	22	∂t	∂t	PROPN
ejpam-3411	101	23	exp	exp	NOUN
ejpam-3411	101	24	(	(	PUNCT
ejpam-3411	101	25	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	101	26	(	(	PUNCT
ejpam-3411	101	27	αx)−	αx)−	PROPN
ejpam-3411	101	28	γ	γ	PROPN
ejpam-3411	101	29	exp	exp	X
ejpam-3411	101	30	(	(	PUNCT
ejpam-3411	101	31	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	101	32	(	(	PUNCT
ejpam-3411	101	33	αx	αx	NOUN
ejpam-3411	101	34	)	)	PUNCT
ejpam-3411	101	35	=	=	SYM
ejpam-3411	101	36	exp	exp	NOUN
ejpam-3411	101	37	(	(	PUNCT
ejpam-3411	101	38	γt	γt	NOUN
ejpam-3411	101	39	)	)	PUNCT
ejpam-3411	101	40	(	(	PUNCT
ejpam-3411	101	41	γ	γ	PROPN
ejpam-3411	101	42	−	−	PROPN
ejpam-3411	101	43	γ)ϕ	γ)ϕ	NOUN
ejpam-3411	101	44	(	(	PUNCT
ejpam-3411	101	45	αx	αx	ADV
ejpam-3411	101	46	)	)	PUNCT
ejpam-3411	101	47	=	=	SYM
ejpam-3411	101	48	0	0	NUM
ejpam-3411	101	49	and	and	CCONJ
ejpam-3411	101	50	u	u	X
ejpam-3411	101	51	(	(	PUNCT
ejpam-3411	101	52	0	0	NUM
ejpam-3411	101	53	,	,	PUNCT
ejpam-3411	101	54	x	x	NOUN
ejpam-3411	101	55	)	)	PUNCT
ejpam-3411	101	56	=	=	SYM
ejpam-3411	101	57	ϕ	ϕ	X
ejpam-3411	101	58	(	(	PUNCT
ejpam-3411	101	59	αx	αx	NOUN
ejpam-3411	101	60	)	)	PUNCT
ejpam-3411	101	61	⇐	⇐	ADJ
ejpam-3411	101	62	⇒	⇒	PROPN
ejpam-3411	101	63	∀ϕ	∀ϕ	PROPN
ejpam-3411	101	64	∈	∈	PROPN
ejpam-3411	101	65	c1	c1	NOUN
ejpam-3411	101	66	(	(	PUNCT
ejpam-3411	101	67	r	r	NOUN
ejpam-3411	101	68	)	)	PUNCT
ejpam-3411	101	69	.	.	PUNCT
ejpam-3411	102	1	in	in	ADP
ejpam-3411	102	2	this	this	DET
ejpam-3411	102	3	case	case	NOUN
ejpam-3411	102	4	,	,	PUNCT
ejpam-3411	102	5	it	it	PRON
ejpam-3411	102	6	is	be	AUX
ejpam-3411	102	7	necessary	necessary	ADJ
ejpam-3411	102	8	and	and	CCONJ
ejpam-3411	102	9	sufficient	sufficient	ADJ
ejpam-3411	102	10	that	that	SCONJ
ejpam-3411	102	11	the	the	DET
ejpam-3411	102	12	function	function	NOUN
ejpam-3411	102	13	ϕ	ϕ	PROPN
ejpam-3411	102	14	∈	∈	PROPN
ejpam-3411	102	15	c1	c1	NOUN
ejpam-3411	102	16	(	(	PUNCT
ejpam-3411	102	17	i	i	NOUN
ejpam-3411	102	18	)	)	PUNCT
ejpam-3411	102	19	and	and	CCONJ
ejpam-3411	102	20	i	i	PRON
ejpam-3411	102	21	⊂	⊂	VERB
ejpam-3411	103	1	r	r	NOUN
ejpam-3411	103	2	or	or	CCONJ
ejpam-3411	103	3	i	i	NOUN
ejpam-3411	103	4	=	=	NOUN
ejpam-3411	103	5	r	r	NOUN
ejpam-3411	103	6	,	,	PUNCT
ejpam-3411	103	7	hence	hence	ADV
ejpam-3411	103	8	the	the	DET
ejpam-3411	103	9	general	general	ADJ
ejpam-3411	103	10	solution	solution	NOUN
ejpam-3411	103	11	of	of	ADP
ejpam-3411	103	12	(	(	PUNCT
ejpam-3411	103	13	21	21	NUM
ejpam-3411	103	14	)	)	PUNCT
ejpam-3411	103	15	is	be	AUX
ejpam-3411	103	16	u	u	NOUN
ejpam-3411	103	17	(	(	PUNCT
ejpam-3411	103	18	t	t	PROPN
ejpam-3411	103	19	,	,	PUNCT
ejpam-3411	103	20	x	x	NOUN
ejpam-3411	103	21	)	)	PUNCT
ejpam-3411	103	22	=	=	SYM
ejpam-3411	103	23	exp	exp	NOUN
ejpam-3411	103	24	(	(	PUNCT
ejpam-3411	103	25	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	103	26	(	(	PUNCT
ejpam-3411	103	27	αx	αx	NOUN
ejpam-3411	103	28	)	)	PUNCT
ejpam-3411	103	29	.	.	PUNCT
ejpam-3411	104	1	y.	y.	PROPN
ejpam-3411	104	2	minoungou	minoungou	PROPN
ejpam-3411	104	3	,	,	PUNCT
ejpam-3411	104	4	m.	m.	NOUN
ejpam-3411	104	5	bagayogo	bagayogo	PROPN
ejpam-3411	104	6	,	,	PUNCT
ejpam-3411	104	7	y.	y.	PROPN
ejpam-3411	104	8	paré	paré	NOUN
ejpam-3411	104	9	/	/	SYM
ejpam-3411	104	10	eur	eur	PROPN
ejpam-3411	104	11	.	.	PUNCT
ejpam-3411	105	1	j.	j.	PROPN
ejpam-3411	105	2	pure	pure	PROPN
ejpam-3411	105	3	appl	appl	PROPN
ejpam-3411	105	4	.	.	PROPN
ejpam-3411	105	5	math	math	PROPN
ejpam-3411	105	6	,	,	PUNCT
ejpam-3411	105	7	12	12	NUM
ejpam-3411	105	8	(	(	PUNCT
ejpam-3411	105	9	2	2	NUM
ejpam-3411	105	10	)	)	PUNCT
ejpam-3411	105	11	(	(	PUNCT
ejpam-3411	105	12	2019	2019	NUM
ejpam-3411	105	13	)	)	PUNCT
ejpam-3411	105	14	,	,	PUNCT
ejpam-3411	105	15	519	519	NUM
ejpam-3411	105	16	-	-	SYM
ejpam-3411	105	17	532	532	NUM
ejpam-3411	105	18	525	525	NUM
ejpam-3411	105	19	2.4	2.4	NUM
ejpam-3411	105	20	.	.	PUNCT
ejpam-3411	106	1	a	a	DET
ejpam-3411	106	2	diffusion	diffusion	NOUN
ejpam-3411	106	3	-	-	PUNCT
ejpam-3411	106	4	convection	convection	NOUN
ejpam-3411	106	5	model	model	NOUN
ejpam-3411	106	6	let	let	VERB
ejpam-3411	106	7	us	we	PRON
ejpam-3411	106	8	consider	consider	VERB
ejpam-3411	106	9	the	the	DET
ejpam-3411	106	10	following	follow	VERB
ejpam-3411	106	11	type	type	NOUN
ejpam-3411	106	12	of	of	ADP
ejpam-3411	106	13	cauchy	cauchy	PROPN
ejpam-3411	106	14	linear	linear	ADJ
ejpam-3411	106	15	equation	equation	NOUN
ejpam-3411	106	16	:	:	PUNCT
ejpam-3411	106	17	(	(	PUNCT
ejpam-3411	106	18	d	d	X
ejpam-3411	106	19	)	)	PUNCT
ejpam-3411	106	20	:	:	PUNCT
ejpam-3411	106	21			NUM
ejpam-3411	106	22	∂u	∂u	PROPN
ejpam-3411	106	23	(	(	PUNCT
ejpam-3411	106	24	t	t	PROPN
ejpam-3411	106	25	,	,	PUNCT
ejpam-3411	106	26	x	x	NOUN
ejpam-3411	106	27	)	)	PUNCT
ejpam-3411	106	28	∂t	∂t	PROPN
ejpam-3411	106	29	=	=	SYM
ejpam-3411	106	30	ε	ε	PROPN
ejpam-3411	106	31	∂2u	∂2u	PROPN
ejpam-3411	106	32	(	(	PUNCT
ejpam-3411	106	33	t	t	PROPN
ejpam-3411	106	34	,	,	PUNCT
ejpam-3411	106	35	x	x	NOUN
ejpam-3411	106	36	)	)	PUNCT
ejpam-3411	106	37	∂x2	∂x2	NOUN
ejpam-3411	106	38	+	+	ADP
ejpam-3411	106	39	λ	λ	PROPN
ejpam-3411	106	40	∂u	∂u	PROPN
ejpam-3411	106	41	(	(	PUNCT
ejpam-3411	106	42	t	t	PROPN
ejpam-3411	106	43	,	,	PUNCT
ejpam-3411	106	44	x	x	NOUN
ejpam-3411	106	45	)	)	PUNCT
ejpam-3411	106	46	∂x	∂x	NOUN
ejpam-3411	106	47	;	;	PUNCT
ejpam-3411	106	48	0	0	NUM
ejpam-3411	106	49	<	<	X
ejpam-3411	106	50	ε	ε	X
ejpam-3411	106	51	�	�	PROPN
ejpam-3411	106	52	1	1	NUM
ejpam-3411	106	53	,	,	PUNCT
ejpam-3411	106	54	λ	λ	X
ejpam-3411	106	55	>	>	X
ejpam-3411	106	56	0	0	PROPN
ejpam-3411	106	57	,	,	PUNCT
ejpam-3411	106	58	t	t	X
ejpam-3411	106	59	>	>	X
ejpam-3411	106	60	0	0	PROPN
ejpam-3411	106	61	,	,	PUNCT
ejpam-3411	106	62	x	x	SYM
ejpam-3411	106	63	∈	∈	PROPN
ejpam-3411	106	64	r	r	NOUN
ejpam-3411	106	65	u	u	NOUN
ejpam-3411	106	66	(	(	PUNCT
ejpam-3411	106	67	0	0	NUM
ejpam-3411	106	68	,	,	PUNCT
ejpam-3411	106	69	x	x	NOUN
ejpam-3411	106	70	)	)	PUNCT
ejpam-3411	106	71	=	=	SYM
ejpam-3411	107	1	sinx	sinx	NOUN
ejpam-3411	107	2	applying	apply	VERB
ejpam-3411	107	3	the	the	DET
ejpam-3411	107	4	algorithm	algorithm	NOUN
ejpam-3411	107	5	sba	sba	NOUN
ejpam-3411	107	6	to	to	ADP
ejpam-3411	107	7	(	(	PUNCT
ejpam-3411	107	8	d	d	PROPN
ejpam-3411	107	9	)	)	PUNCT
ejpam-3411	107	10	,	,	PUNCT
ejpam-3411	107	11	we	we	PRON
ejpam-3411	107	12	have	have	VERB
ejpam-3411	107	13	:	:	PUNCT
ejpam-3411	107	14	(	(	PUNCT
ejpam-3411	107	15	psba	psba	NOUN
ejpam-3411	107	16	)	)	PUNCT
ejpam-3411	107	17	:	:	PUNCT
ejpam-3411	107	18			NUM
ejpam-3411	107	19	uk0	uk0	ADJ
ejpam-3411	107	20	(	(	PUNCT
ejpam-3411	107	21	t	t	PROPN
ejpam-3411	107	22	,	,	PUNCT
ejpam-3411	107	23	x	x	NOUN
ejpam-3411	107	24	)	)	PUNCT
ejpam-3411	107	25	=	=	SYM
ejpam-3411	107	26	sinx	sinx	PROPN
ejpam-3411	107	27	ukn+1	ukn+1	PROPN
ejpam-3411	107	28	(	(	PUNCT
ejpam-3411	107	29	t	t	PROPN
ejpam-3411	107	30	,	,	PUNCT
ejpam-3411	107	31	x	x	NOUN
ejpam-3411	107	32	)	)	PUNCT
ejpam-3411	107	33	=	=	SYM
ejpam-3411	108	1	∫	∫	PROPN
ejpam-3411	108	2	t	t	PROPN
ejpam-3411	108	3	0	0	NUM
ejpam-3411	109	1	(	(	PUNCT
ejpam-3411	109	2	ε	ε	PROPN
ejpam-3411	109	3	∂2ukn	∂2ukn	PROPN
ejpam-3411	109	4	(	(	PUNCT
ejpam-3411	109	5	s	s	PROPN
ejpam-3411	109	6	,	,	PUNCT
ejpam-3411	109	7	x	x	NOUN
ejpam-3411	109	8	)	)	PUNCT
ejpam-3411	109	9	∂x2	∂x2	NOUN
ejpam-3411	109	10	+	+	NUM
ejpam-3411	109	11	λ	λ	X
ejpam-3411	109	12	∂ukn	∂ukn	NUM
ejpam-3411	109	13	(	(	PUNCT
ejpam-3411	109	14	s	s	PROPN
ejpam-3411	109	15	,	,	PUNCT
ejpam-3411	109	16	x	x	NOUN
ejpam-3411	109	17	)	)	PUNCT
ejpam-3411	109	18	∂x	∂x	PROPN
ejpam-3411	109	19	)	)	PUNCT
ejpam-3411	109	20	ds	ds	NOUN
ejpam-3411	109	21	;	;	PUNCT
ejpam-3411	109	22	n	n	PRON
ejpam-3411	109	23	≥	≥	NOUN
ejpam-3411	109	24	0	0	NUM
ejpam-3411	109	25	(	(	PUNCT
ejpam-3411	109	26	23	23	NUM
ejpam-3411	109	27	)	)	PUNCT
ejpam-3411	109	28	let	let	VERB
ejpam-3411	109	29	us	we	PRON
ejpam-3411	109	30	determinate	determinate	VERB
ejpam-3411	109	31	the	the	DET
ejpam-3411	109	32	following	following	ADJ
ejpam-3411	109	33	terms	term	NOUN
ejpam-3411	109	34	:	:	PUNCT
ejpam-3411	109	35	uk0	uk0	ADJ
ejpam-3411	109	36	(	(	PUNCT
ejpam-3411	109	37	t	t	PROPN
ejpam-3411	109	38	,	,	PUNCT
ejpam-3411	109	39	x	x	NOUN
ejpam-3411	109	40	)	)	PUNCT
ejpam-3411	109	41	,	,	PUNCT
ejpam-3411	109	42	uk1	uk1	PROPN
ejpam-3411	109	43	(	(	PUNCT
ejpam-3411	109	44	t	t	PROPN
ejpam-3411	109	45	,	,	PUNCT
ejpam-3411	109	46	x	x	NOUN
ejpam-3411	109	47	)	)	PUNCT
ejpam-3411	109	48	,	,	PUNCT
ejpam-3411	109	49	uk2	uk2	PROPN
ejpam-3411	109	50	(	(	PUNCT
ejpam-3411	109	51	t	t	PROPN
ejpam-3411	109	52	,	,	PUNCT
ejpam-3411	109	53	x	x	NOUN
ejpam-3411	109	54	)	)	PUNCT
ejpam-3411	109	55	,	,	PUNCT
ejpam-3411	109	56	uk3	uk3	PROPN
ejpam-3411	109	57	(	(	PUNCT
ejpam-3411	109	58	t	t	PROPN
ejpam-3411	109	59	,	,	PUNCT
ejpam-3411	109	60	x	x	NOUN
ejpam-3411	109	61	)	)	PUNCT
ejpam-3411	109	62	,	,	PUNCT
ejpam-3411	109	63	...	...	PUNCT
ejpam-3411	109	64	,	,	PUNCT
ejpam-3411	109	65	ukn	ukn	PROPN
ejpam-3411	109	66	(	(	PUNCT
ejpam-3411	109	67	t	t	PROPN
ejpam-3411	109	68	,	,	PUNCT
ejpam-3411	109	69	x	x	NOUN
ejpam-3411	109	70	)	)	PUNCT
ejpam-3411	109	71	.	.	PUNCT
ejpam-3411	110	1			X
ejpam-3411	111	1	uk0	uk0	ADJ
ejpam-3411	111	2	(	(	PUNCT
ejpam-3411	111	3	t	t	PROPN
ejpam-3411	111	4	,	,	PUNCT
ejpam-3411	111	5	x	x	NOUN
ejpam-3411	111	6	)	)	PUNCT
ejpam-3411	112	1	=	=	SYM
ejpam-3411	112	2	sinx	sinx	PROPN
ejpam-3411	112	3	uk1	uk1	PROPN
ejpam-3411	112	4	(	(	PUNCT
ejpam-3411	112	5	t	t	PROPN
ejpam-3411	112	6	,	,	PUNCT
ejpam-3411	112	7	x	x	NOUN
ejpam-3411	112	8	)	)	PUNCT
ejpam-3411	112	9	=	=	PUNCT
ejpam-3411	112	10	tλ	tλ	PART
ejpam-3411	112	11	cosx−	cosx−	PROPN
ejpam-3411	112	12	tε	tε	PROPN
ejpam-3411	112	13	sinx	sinx	PROPN
ejpam-3411	112	14	uk2	uk2	PROPN
ejpam-3411	112	15	(	(	PUNCT
ejpam-3411	112	16	t	t	PROPN
ejpam-3411	112	17	,	,	PUNCT
ejpam-3411	112	18	x	x	NOUN
ejpam-3411	112	19	)	)	PUNCT
ejpam-3411	113	1	=	=	SYM
ejpam-3411	113	2	1	1	NUM
ejpam-3411	113	3	2	2	NUM
ejpam-3411	113	4	!	!	PUNCT
ejpam-3411	113	5	(	(	PUNCT
ejpam-3411	113	6	sinx	sinx	PROPN
ejpam-3411	113	7	)	)	PUNCT
ejpam-3411	114	1	t2λ2	t2λ2	NUM
ejpam-3411	114	2	−	−	PROPN
ejpam-3411	114	3	(	(	PUNCT
ejpam-3411	114	4	cosx	cosx	PROPN
ejpam-3411	114	5	)	)	PUNCT
ejpam-3411	114	6	t2λε+	t2λε+	PROPN
ejpam-3411	114	7	1	1	NUM
ejpam-3411	114	8	2	2	NUM
ejpam-3411	114	9	!	!	PUNCT
ejpam-3411	114	10	(	(	PUNCT
ejpam-3411	114	11	sinx	sinx	PROPN
ejpam-3411	114	12	)	)	PUNCT
ejpam-3411	114	13	t2ε2	t2ε2	VERB
ejpam-3411	115	1	uk3	uk3	PROPN
ejpam-3411	115	2	(	(	PUNCT
ejpam-3411	115	3	t	t	PROPN
ejpam-3411	115	4	,	,	PUNCT
ejpam-3411	115	5	x	x	NOUN
ejpam-3411	115	6	)	)	PUNCT
ejpam-3411	115	7	=	=	SYM
ejpam-3411	115	8	−1	−1	NOUN
ejpam-3411	115	9	6	6	NUM
ejpam-3411	115	10	(	(	PUNCT
ejpam-3411	115	11	cosx	cosx	PROPN
ejpam-3411	115	12	)	)	PUNCT
ejpam-3411	115	13	t3λ3	t3λ3	PROPN
ejpam-3411	116	1	+	+	NOUN
ejpam-3411	116	2	1	1	NUM
ejpam-3411	116	3	2	2	NUM
ejpam-3411	116	4	(	(	PUNCT
ejpam-3411	116	5	sinx	sinx	NOUN
ejpam-3411	116	6	)	)	PUNCT
ejpam-3411	116	7	t3λ2ε+	t3λ2ε+	PROPN
ejpam-3411	116	8	1	1	NUM
ejpam-3411	116	9	2	2	NUM
ejpam-3411	116	10	(	(	PUNCT
ejpam-3411	116	11	cosx	cosx	PROPN
ejpam-3411	116	12	)	)	PUNCT
ejpam-3411	116	13	t3λε2	t3λε2	NOUN
ejpam-3411	116	14	−	−	NOUN
ejpam-3411	116	15	1	1	NUM
ejpam-3411	116	16	6	6	NUM
ejpam-3411	116	17	(	(	PUNCT
ejpam-3411	116	18	sinx	sinx	NOUN
ejpam-3411	116	19	)	)	PUNCT
ejpam-3411	116	20	t3ε3	t3ε3	VERB
ejpam-3411	116	21	uk4	uk4	X
ejpam-3411	116	22	(	(	PUNCT
ejpam-3411	116	23	t	t	PROPN
ejpam-3411	116	24	,	,	PUNCT
ejpam-3411	116	25	x	x	NOUN
ejpam-3411	116	26	)	)	PUNCT
ejpam-3411	116	27	=	=	SYM
ejpam-3411	116	28	1	1	NUM
ejpam-3411	116	29	4	4	NUM
ejpam-3411	116	30	!	!	PUNCT
ejpam-3411	116	31	(	(	PUNCT
ejpam-3411	116	32	sinx	sinx	X
ejpam-3411	116	33	)	)	PUNCT
ejpam-3411	116	34	t4λ4	t4λ4	NOUN
ejpam-3411	117	1	+	+	NOUN
ejpam-3411	117	2	1	1	NUM
ejpam-3411	117	3	3	3	NUM
ejpam-3411	117	4	!	!	PUNCT
ejpam-3411	117	5	(	(	PUNCT
ejpam-3411	117	6	cosx	cosx	PROPN
ejpam-3411	117	7	)	)	PUNCT
ejpam-3411	117	8	t4λ3ε−	t4λ3ε−	PROPN
ejpam-3411	117	9	1	1	NUM
ejpam-3411	117	10	4	4	NUM
ejpam-3411	117	11	(	(	PUNCT
ejpam-3411	117	12	sinx	sinx	NOUN
ejpam-3411	117	13	)	)	PUNCT
ejpam-3411	117	14	t4λ2ε2−	t4λ2ε2−	PROPN
ejpam-3411	117	15	1	1	NUM
ejpam-3411	118	1	3	3	NUM
ejpam-3411	118	2	!	!	PUNCT
ejpam-3411	119	1	(	(	PUNCT
ejpam-3411	119	2	cosx	cosx	PROPN
ejpam-3411	119	3	)	)	PUNCT
ejpam-3411	119	4	t4λε3	t4λε3	VERB
ejpam-3411	119	5	+	+	NOUN
ejpam-3411	119	6	1	1	NUM
ejpam-3411	119	7	4	4	NUM
ejpam-3411	119	8	!	!	PUNCT
ejpam-3411	119	9	(	(	PUNCT
ejpam-3411	119	10	sinx	sinx	PROPN
ejpam-3411	119	11	)	)	PUNCT
ejpam-3411	119	12	t4ε4	t4ε4	PUNCT
ejpam-3411	119	13	uk5	uk5	PROPN
ejpam-3411	119	14	(	(	PUNCT
ejpam-3411	119	15	t	t	PROPN
ejpam-3411	119	16	,	,	PUNCT
ejpam-3411	119	17	x	x	NOUN
ejpam-3411	119	18	)	)	PUNCT
ejpam-3411	119	19	=	=	SYM
ejpam-3411	119	20	1	1	NUM
ejpam-3411	119	21	120	120	NUM
ejpam-3411	119	22	(	(	PUNCT
ejpam-3411	119	23	cosx	cosx	PROPN
ejpam-3411	119	24	)	)	PUNCT
ejpam-3411	120	1	t5λ5	t5λ5	NOUN
ejpam-3411	120	2	−	−	PROPN
ejpam-3411	120	3	1	1	NUM
ejpam-3411	120	4	24	24	NUM
ejpam-3411	120	5	(	(	PUNCT
ejpam-3411	120	6	sinx	sinx	PROPN
ejpam-3411	120	7	)	)	PUNCT
ejpam-3411	120	8	t5λ4ε−	t5λ4ε−	NUM
ejpam-3411	121	1	1	1	NUM
ejpam-3411	121	2	12	12	NUM
ejpam-3411	121	3	(	(	PUNCT
ejpam-3411	121	4	cosx	cosx	PROPN
ejpam-3411	121	5	)	)	PUNCT
ejpam-3411	121	6	t5λ3ε2	t5λ3ε2	PROPN
ejpam-3411	121	7	+	+	CCONJ
ejpam-3411	121	8	1	1	NUM
ejpam-3411	121	9	12	12	NUM
ejpam-3411	121	10	(	(	PUNCT
ejpam-3411	121	11	sinx	sinx	PROPN
ejpam-3411	121	12	)	)	PUNCT
ejpam-3411	121	13	t5λ2ε3	t5λ2ε3	PROPN
ejpam-3411	121	14	+	+	CCONJ
ejpam-3411	121	15	1	1	NUM
ejpam-3411	121	16	24	24	NUM
ejpam-3411	121	17	(	(	PUNCT
ejpam-3411	121	18	cosx	cosx	PROPN
ejpam-3411	121	19	)	)	PUNCT
ejpam-3411	121	20	t5λε4	t5λε4	NOUN
ejpam-3411	121	21	−	−	PROPN
ejpam-3411	121	22	1	1	NUM
ejpam-3411	121	23	120	120	NUM
ejpam-3411	121	24	(	(	PUNCT
ejpam-3411	121	25	sinx	sinx	X
ejpam-3411	121	26	)	)	PUNCT
ejpam-3411	121	27	t5ε5	t5ε5	X
ejpam-3411	121	28	uk6	uk6	NOUN
ejpam-3411	121	29	(	(	PUNCT
ejpam-3411	121	30	t	t	PROPN
ejpam-3411	121	31	,	,	PUNCT
ejpam-3411	121	32	x	x	NOUN
ejpam-3411	121	33	)	)	PUNCT
ejpam-3411	121	34	=	=	SYM
ejpam-3411	121	35	1	1	NUM
ejpam-3411	121	36	720	720	NUM
ejpam-3411	121	37	(	(	PUNCT
ejpam-3411	121	38	sinx	sinx	PROPN
ejpam-3411	121	39	)	)	PUNCT
ejpam-3411	121	40	t6λ6	t6λ6	NOUN
ejpam-3411	122	1	−	−	PROPN
ejpam-3411	122	2	1	1	NUM
ejpam-3411	122	3	120	120	NUM
ejpam-3411	122	4	(	(	PUNCT
ejpam-3411	122	5	cosx	cosx	PROPN
ejpam-3411	122	6	)	)	PUNCT
ejpam-3411	122	7	t6λ5ε+	t6λ5ε+	PROPN
ejpam-3411	122	8	1	1	NUM
ejpam-3411	122	9	48	48	NUM
ejpam-3411	122	10	(	(	PUNCT
ejpam-3411	122	11	sinx	sinx	PROPN
ejpam-3411	122	12	)	)	PUNCT
ejpam-3411	122	13	t6λ4ε2	t6λ4ε2	NOUN
ejpam-3411	123	1	+	+	NOUN
ejpam-3411	123	2	1	1	NUM
ejpam-3411	123	3	36	36	NUM
ejpam-3411	123	4	(	(	PUNCT
ejpam-3411	123	5	cosx	cosx	PROPN
ejpam-3411	123	6	)	)	PUNCT
ejpam-3411	123	7	t6λ3ε3−	t6λ3ε3−	PROPN
ejpam-3411	123	8	1	1	NUM
ejpam-3411	123	9	48	48	NUM
ejpam-3411	123	10	(	(	PUNCT
ejpam-3411	123	11	sinx	sinx	NOUN
ejpam-3411	123	12	)	)	PUNCT
ejpam-3411	123	13	t6λ2ε4	t6λ2ε4	PROPN
ejpam-3411	123	14	−	−	PROPN
ejpam-3411	124	1	1	1	NUM
ejpam-3411	124	2	120	120	NUM
ejpam-3411	124	3	(	(	PUNCT
ejpam-3411	124	4	cosx	cosx	PROPN
ejpam-3411	124	5	)	)	PUNCT
ejpam-3411	124	6	t6λε5	t6λε5	NOUN
ejpam-3411	124	7	+	+	X
ejpam-3411	125	1	1	1	NUM
ejpam-3411	125	2	720	720	NUM
ejpam-3411	125	3	(	(	PUNCT
ejpam-3411	125	4	sinx	sinx	NOUN
ejpam-3411	125	5	)	)	PUNCT
ejpam-3411	125	6	t6ε6	t6ε6	NOUN
ejpam-3411	125	7	...	...	PUNCT
ejpam-3411	125	8	step	step	NOUN
ejpam-3411	125	9	by	by	ADP
ejpam-3411	125	10	step	step	NOUN
ejpam-3411	125	11	,	,	PUNCT
ejpam-3411	125	12	we	we	PRON
ejpam-3411	125	13	then	then	ADV
ejpam-3411	125	14	deduct	deduct	VERB
ejpam-3411	125	15	:	:	PUNCT
ejpam-3411	125	16	y.	y.	PROPN
ejpam-3411	125	17	minoungou	minoungou	PROPN
ejpam-3411	125	18	,	,	PUNCT
ejpam-3411	125	19	m.	m.	NOUN
ejpam-3411	125	20	bagayogo	bagayogo	PROPN
ejpam-3411	125	21	,	,	PUNCT
ejpam-3411	125	22	y.	y.	PROPN
ejpam-3411	125	23	paré	paré	NOUN
ejpam-3411	125	24	/	/	SYM
ejpam-3411	125	25	eur	eur	PROPN
ejpam-3411	125	26	.	.	PUNCT
ejpam-3411	126	1	j.	j.	PROPN
ejpam-3411	126	2	pure	pure	PROPN
ejpam-3411	126	3	appl	appl	PROPN
ejpam-3411	126	4	.	.	PROPN
ejpam-3411	126	5	math	math	PROPN
ejpam-3411	126	6	,	,	PUNCT
ejpam-3411	126	7	12	12	NUM
ejpam-3411	126	8	(	(	PUNCT
ejpam-3411	126	9	2	2	NUM
ejpam-3411	126	10	)	)	PUNCT
ejpam-3411	126	11	(	(	PUNCT
ejpam-3411	126	12	2019	2019	NUM
ejpam-3411	126	13	)	)	PUNCT
ejpam-3411	126	14	,	,	PUNCT
ejpam-3411	126	15	519	519	NUM
ejpam-3411	126	16	-	-	SYM
ejpam-3411	126	17	532	532	NUM
ejpam-3411	126	18	526	526	NUM
ejpam-3411	126	19			NUM
ejpam-3411	126	20	uk	uk	PROPN
ejpam-3411	126	21	(	(	PUNCT
ejpam-3411	126	22	t	t	PROPN
ejpam-3411	126	23	,	,	PUNCT
ejpam-3411	126	24	x	x	NOUN
ejpam-3411	126	25	)	)	PUNCT
ejpam-3411	126	26	'	'	PUNCT
ejpam-3411	126	27	sinx	sinx	NOUN
ejpam-3411	126	28	(	(	PUNCT
ejpam-3411	126	29	1−	1−	NUM
ejpam-3411	126	30	εt+	εt+	NOUN
ejpam-3411	126	31	(	(	PUNCT
ejpam-3411	126	32	εt)2	εt)2	PROPN
ejpam-3411	126	33	2	2	NUM
ejpam-3411	126	34	!	!	PUNCT
ejpam-3411	126	35	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	126	36	3	3	NUM
ejpam-3411	126	37	!	!	PUNCT
ejpam-3411	127	1	+	+	NUM
ejpam-3411	127	2	...	...	PUNCT
ejpam-3411	127	3	)	)	PUNCT
ejpam-3411	127	4	−(λt)2	−(λt)2	NOUN
ejpam-3411	128	1	2	2	NUM
ejpam-3411	128	2	!	!	PUNCT
ejpam-3411	128	3	sinx	sinx	NOUN
ejpam-3411	128	4	(	(	PUNCT
ejpam-3411	128	5	1−	1−	NUM
ejpam-3411	128	6	εt+	εt+	NOUN
ejpam-3411	128	7	(	(	PUNCT
ejpam-3411	128	8	εt)2	εt)2	PROPN
ejpam-3411	128	9	2	2	NUM
ejpam-3411	128	10	!	!	PUNCT
ejpam-3411	128	11	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	128	12	3	3	NUM
ejpam-3411	128	13	!	!	PUNCT
ejpam-3411	129	1	+	+	CCONJ
ejpam-3411	129	2	...	...	PUNCT
ejpam-3411	129	3	)	)	PUNCT
ejpam-3411	130	1	+	+	CCONJ
ejpam-3411	130	2	(	(	PUNCT
ejpam-3411	130	3	λt)4	λt)4	PROPN
ejpam-3411	130	4	4	4	NUM
ejpam-3411	130	5	!	!	PUNCT
ejpam-3411	130	6	sinx	sinx	NOUN
ejpam-3411	130	7	(	(	PUNCT
ejpam-3411	130	8	1−	1−	NUM
ejpam-3411	130	9	εt+	εt+	NOUN
ejpam-3411	130	10	(	(	PUNCT
ejpam-3411	130	11	εt)2	εt)2	PROPN
ejpam-3411	130	12	2	2	NUM
ejpam-3411	130	13	!	!	PUNCT
ejpam-3411	130	14	−	−	PROPN
ejpam-3411	131	1	(	(	PUNCT
ejpam-3411	131	2	εt)3	εt)3	NOUN
ejpam-3411	131	3	3	3	NUM
ejpam-3411	131	4	!	!	PUNCT
ejpam-3411	132	1	+	+	NUM
ejpam-3411	132	2	...	...	PUNCT
ejpam-3411	132	3	)	)	PUNCT
ejpam-3411	132	4	−(λt)6	−(λt)6	NOUN
ejpam-3411	133	1	6	6	NUM
ejpam-3411	133	2	!	!	PUNCT
ejpam-3411	133	3	sinx	sinx	NOUN
ejpam-3411	133	4	(	(	PUNCT
ejpam-3411	133	5	1−	1−	NUM
ejpam-3411	133	6	εt+	εt+	NOUN
ejpam-3411	133	7	(	(	PUNCT
ejpam-3411	133	8	εt)2	εt)2	PROPN
ejpam-3411	133	9	2	2	NUM
ejpam-3411	133	10	!	!	PUNCT
ejpam-3411	133	11	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	133	12	3	3	NUM
ejpam-3411	133	13	!	!	PUNCT
ejpam-3411	134	1	+	+	NUM
ejpam-3411	134	2	...	...	PUNCT
ejpam-3411	134	3	)	)	PUNCT
ejpam-3411	134	4	...	...	PUNCT
ejpam-3411	135	1	...	...	PUNCT
ejpam-3411	136	1	+	+	ADP
ejpam-3411	136	2	λt	λt	X
ejpam-3411	136	3	cosx	cosx	X
ejpam-3411	136	4	(	(	PUNCT
ejpam-3411	136	5	1−	1−	NUM
ejpam-3411	136	6	εt+	εt+	NOUN
ejpam-3411	136	7	(	(	PUNCT
ejpam-3411	136	8	εt)2	εt)2	PROPN
ejpam-3411	136	9	2	2	NUM
ejpam-3411	136	10	!	!	PUNCT
ejpam-3411	136	11	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	136	12	3	3	NUM
ejpam-3411	136	13	!	!	PUNCT
ejpam-3411	136	14	+	+	NUM
ejpam-3411	136	15	...	...	PUNCT
ejpam-3411	136	16	)	)	PUNCT
ejpam-3411	136	17	−(λt)3	−(λt)3	NOUN
ejpam-3411	137	1	3	3	X
ejpam-3411	137	2	!	!	PUNCT
ejpam-3411	137	3	cosx	cosx	NOUN
ejpam-3411	137	4	(	(	PUNCT
ejpam-3411	137	5	1−	1−	NUM
ejpam-3411	137	6	εt+	εt+	NOUN
ejpam-3411	137	7	(	(	PUNCT
ejpam-3411	137	8	εt)2	εt)2	PROPN
ejpam-3411	137	9	2	2	NUM
ejpam-3411	137	10	!	!	PUNCT
ejpam-3411	137	11	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	137	12	3	3	NUM
ejpam-3411	137	13	!	!	PUNCT
ejpam-3411	138	1	+	+	CCONJ
ejpam-3411	138	2	...	...	PUNCT
ejpam-3411	138	3	)	)	PUNCT
ejpam-3411	139	1	+	+	CCONJ
ejpam-3411	139	2	(	(	PUNCT
ejpam-3411	139	3	λt)5	λt)5	PROPN
ejpam-3411	139	4	5	5	NUM
ejpam-3411	139	5	!	!	PUNCT
ejpam-3411	140	1	cosx	cosx	NOUN
ejpam-3411	140	2	(	(	PUNCT
ejpam-3411	140	3	1−	1−	NUM
ejpam-3411	140	4	εt+	εt+	NOUN
ejpam-3411	140	5	(	(	PUNCT
ejpam-3411	140	6	εt)2	εt)2	PROPN
ejpam-3411	140	7	2	2	NUM
ejpam-3411	140	8	!	!	PUNCT
ejpam-3411	140	9	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	140	10	3	3	NUM
ejpam-3411	140	11	!	!	PUNCT
ejpam-3411	141	1	+	+	NUM
ejpam-3411	141	2	...	...	PUNCT
ejpam-3411	141	3	)	)	PUNCT
ejpam-3411	141	4	...	...	PUNCT
ejpam-3411	142	1	...	...	PUNCT
ejpam-3411	142	2	then	then	ADV
ejpam-3411	142	3	,	,	PUNCT
ejpam-3411	142	4	we	we	PRON
ejpam-3411	142	5	obtain	obtain	VERB
ejpam-3411	142	6			ADJ
ejpam-3411	142	7	uk	uk	PROPN
ejpam-3411	142	8	(	(	PUNCT
ejpam-3411	142	9	t	t	PROPN
ejpam-3411	142	10	,	,	PUNCT
ejpam-3411	142	11	x	x	NOUN
ejpam-3411	142	12	)	)	PUNCT
ejpam-3411	142	13	'	'	PUNCT
ejpam-3411	142	14	sinx	sinx	NOUN
ejpam-3411	142	15	(	(	PUNCT
ejpam-3411	142	16	1−	1−	NUM
ejpam-3411	142	17	εt+	εt+	NOUN
ejpam-3411	142	18	(	(	PUNCT
ejpam-3411	142	19	εt)2	εt)2	PROPN
ejpam-3411	142	20	2	2	NUM
ejpam-3411	142	21	!	!	PUNCT
ejpam-3411	143	1	−	−	PROPN
ejpam-3411	144	1	(	(	PUNCT
ejpam-3411	144	2	εt)3	εt)3	NOUN
ejpam-3411	144	3	3	3	NUM
ejpam-3411	144	4	!	!	PUNCT
ejpam-3411	145	1	+	+	CCONJ
ejpam-3411	145	2	...	...	PUNCT
ejpam-3411	145	3	)	)	PUNCT
ejpam-3411	145	4	(	(	PUNCT
ejpam-3411	145	5	1−	1−	NUM
ejpam-3411	145	6	(	(	PUNCT
ejpam-3411	145	7	λt)2	λt)2	NOUN
ejpam-3411	145	8	2	2	NUM
ejpam-3411	145	9	!	!	PUNCT
ejpam-3411	146	1	+	+	CCONJ
ejpam-3411	146	2	(	(	PUNCT
ejpam-3411	146	3	λt)4	λt)4	PROPN
ejpam-3411	146	4	4	4	NUM
ejpam-3411	146	5	!	!	PUNCT
ejpam-3411	147	1	+	+	CCONJ
ejpam-3411	147	2	...	...	PUNCT
ejpam-3411	147	3	)	)	PUNCT
ejpam-3411	148	1	+	+	CCONJ
ejpam-3411	148	2	cosx	cosx	X
ejpam-3411	148	3	(	(	PUNCT
ejpam-3411	148	4	1−	1−	NUM
ejpam-3411	148	5	εt+	εt+	NOUN
ejpam-3411	148	6	(	(	PUNCT
ejpam-3411	148	7	εt)2	εt)2	PROPN
ejpam-3411	148	8	2	2	NUM
ejpam-3411	148	9	!	!	PUNCT
ejpam-3411	148	10	−−(εt)3	−−(εt)3	NOUN
ejpam-3411	148	11	3	3	NUM
ejpam-3411	148	12	!	!	PUNCT
ejpam-3411	149	1	+	+	CCONJ
ejpam-3411	149	2	...	...	PUNCT
ejpam-3411	149	3	)	)	PUNCT
ejpam-3411	149	4	(	(	PUNCT
ejpam-3411	149	5	λt−	λt−	X
ejpam-3411	149	6	(	(	PUNCT
ejpam-3411	149	7	λt)3	λt)3	NOUN
ejpam-3411	149	8	3	3	NUM
ejpam-3411	149	9	!	!	PUNCT
ejpam-3411	150	1	+	+	CCONJ
ejpam-3411	150	2	(	(	PUNCT
ejpam-3411	150	3	λt)5	λt)5	PROPN
ejpam-3411	150	4	5	5	NUM
ejpam-3411	150	5	!	!	PUNCT
ejpam-3411	150	6	−	−	PROPN
ejpam-3411	150	7	...	...	PUNCT
ejpam-3411	150	8	)	)	PUNCT
ejpam-3411	150	9	in	in	ADP
ejpam-3411	150	10	a	a	DET
ejpam-3411	150	11	recurcive	recurcive	ADJ
ejpam-3411	150	12	way	way	NOUN
ejpam-3411	150	13	,	,	PUNCT
ejpam-3411	150	14	we	we	PRON
ejpam-3411	150	15	obtain	obtain	VERB
ejpam-3411	150	16	:	:	PUNCT
ejpam-3411	150	17	uk	uk	PROPN
ejpam-3411	150	18	(	(	PUNCT
ejpam-3411	150	19	t	t	PROPN
ejpam-3411	150	20	,	,	PUNCT
ejpam-3411	150	21	x	x	NOUN
ejpam-3411	150	22	)	)	PUNCT
ejpam-3411	151	1	=	=	SYM
ejpam-3411	151	2	lim	lim	PROPN
ejpam-3411	151	3	n→+∞	n→+∞	PROPN
ejpam-3411	151	4	sinx	sinx	PROPN
ejpam-3411	151	5	n∑	n∑	PROPN
ejpam-3411	152	1	p=0	p=0	PROPN
ejpam-3411	152	2	(	(	PUNCT
ejpam-3411	152	3	−εt)p	−εt)p	NOUN
ejpam-3411	152	4	p	p	NOUN
ejpam-3411	152	5	!	!	PUNCT
ejpam-3411	153	1	n∑	n∑	INTJ
ejpam-3411	154	1	p=0	p=0	PROPN
ejpam-3411	154	2	(	(	PUNCT
ejpam-3411	154	3	−1)p	−1)p	PROPN
ejpam-3411	154	4	(	(	PUNCT
ejpam-3411	154	5	λt)2p	λt)2p	X
ejpam-3411	154	6	(	(	PUNCT
ejpam-3411	154	7	2p	2p	NOUN
ejpam-3411	154	8	)	)	PUNCT
ejpam-3411	154	9	!	!	PUNCT
ejpam-3411	155	1	+	+	CCONJ
ejpam-3411	156	1	cosx	cosx	PROPN
ejpam-3411	156	2	n∑	n∑	PROPN
ejpam-3411	156	3	p=0	p=0	PROPN
ejpam-3411	156	4	(	(	PUNCT
ejpam-3411	156	5	−εt)p	−εt)p	NOUN
ejpam-3411	156	6	p	p	NOUN
ejpam-3411	156	7	!	!	PUNCT
ejpam-3411	157	1	n∑	n∑	INTJ
ejpam-3411	158	1	p=0	p=0	PROPN
ejpam-3411	158	2	(	(	PUNCT
ejpam-3411	158	3	−1)p	−1)p	X
ejpam-3411	158	4	(	(	PUNCT
ejpam-3411	158	5	λt)2p+1	λt)2p+1	PROPN
ejpam-3411	158	6	(	(	PUNCT
ejpam-3411	158	7	2p+	2p+	NUM
ejpam-3411	158	8	1	1	NUM
ejpam-3411	158	9	)	)	PUNCT
ejpam-3411	158	10	!	!	PUNCT
ejpam-3411	159	1	therefore	therefore	ADV
ejpam-3411	159	2	,	,	PUNCT
ejpam-3411	159	3	we	we	PRON
ejpam-3411	159	4	get	get	VERB
ejpam-3411	159	5	uk	uk	PROPN
ejpam-3411	159	6	(	(	PUNCT
ejpam-3411	159	7	t	t	PROPN
ejpam-3411	159	8	,	,	PUNCT
ejpam-3411	159	9	x	x	NOUN
ejpam-3411	159	10	)	)	PUNCT
ejpam-3411	159	11	=	=	SYM
ejpam-3411	159	12	exp	exp	NOUN
ejpam-3411	159	13	(	(	PUNCT
ejpam-3411	159	14	−εt	−εt	NOUN
ejpam-3411	159	15	)	)	PUNCT
ejpam-3411	159	16	(	(	PUNCT
ejpam-3411	159	17	sinx	sinx	NOUN
ejpam-3411	159	18	cosλt+	cosλt+	X
ejpam-3411	159	19	sinλt	sinλt	PROPN
ejpam-3411	159	20	cosx	cosx	PROPN
ejpam-3411	159	21	)	)	PUNCT
ejpam-3411	159	22	.	.	PUNCT
ejpam-3411	160	1	⇒	⇒	PROPN
ejpam-3411	160	2	uk	uk	PROPN
ejpam-3411	160	3	(	(	PUNCT
ejpam-3411	160	4	t	t	PROPN
ejpam-3411	160	5	,	,	PUNCT
ejpam-3411	160	6	x	x	NOUN
ejpam-3411	160	7	)	)	PUNCT
ejpam-3411	160	8	=	=	SYM
ejpam-3411	160	9	exp	exp	NOUN
ejpam-3411	160	10	(	(	PUNCT
ejpam-3411	160	11	−εt	−εt	NOUN
ejpam-3411	160	12	)	)	PUNCT
ejpam-3411	160	13	sin	sin	NOUN
ejpam-3411	160	14	(	(	PUNCT
ejpam-3411	160	15	x+	x+	ADJ
ejpam-3411	160	16	λt	λt	X
ejpam-3411	160	17	)	)	PUNCT
ejpam-3411	160	18	so	so	ADV
ejpam-3411	160	19	,	,	PUNCT
ejpam-3411	160	20	the	the	DET
ejpam-3411	160	21	exact	exact	ADJ
ejpam-3411	160	22	solution	solution	NOUN
ejpam-3411	160	23	exact	exact	NOUN
ejpam-3411	160	24	of	of	ADP
ejpam-3411	160	25	(	(	PUNCT
ejpam-3411	160	26	d	d	X
ejpam-3411	160	27	)	)	PUNCT
ejpam-3411	160	28	is	be	AUX
ejpam-3411	160	29	u	u	NOUN
ejpam-3411	160	30	(	(	PUNCT
ejpam-3411	160	31	t	t	PROPN
ejpam-3411	160	32	,	,	PUNCT
ejpam-3411	160	33	x	x	NOUN
ejpam-3411	160	34	)	)	PUNCT
ejpam-3411	160	35	=	=	SYM
ejpam-3411	160	36	exp	exp	NOUN
ejpam-3411	160	37	(	(	PUNCT
ejpam-3411	160	38	−εt	−εt	NOUN
ejpam-3411	160	39	)	)	PUNCT
ejpam-3411	160	40	sin	sin	NOUN
ejpam-3411	160	41	(	(	PUNCT
ejpam-3411	160	42	x+	x+	ADJ
ejpam-3411	160	43	λt	λt	ADP
ejpam-3411	160	44	)	)	PUNCT
ejpam-3411	160	45	.	.	PUNCT
ejpam-3411	161	1	y.	y.	PROPN
ejpam-3411	161	2	minoungou	minoungou	PROPN
ejpam-3411	161	3	,	,	PUNCT
ejpam-3411	161	4	m.	m.	NOUN
ejpam-3411	161	5	bagayogo	bagayogo	PROPN
ejpam-3411	161	6	,	,	PUNCT
ejpam-3411	161	7	y.	y.	PROPN
ejpam-3411	161	8	paré	paré	NOUN
ejpam-3411	161	9	/	/	SYM
ejpam-3411	161	10	eur	eur	PROPN
ejpam-3411	161	11	.	.	PUNCT
ejpam-3411	162	1	j.	j.	PROPN
ejpam-3411	162	2	pure	pure	PROPN
ejpam-3411	162	3	appl	appl	PROPN
ejpam-3411	162	4	.	.	PROPN
ejpam-3411	162	5	math	math	PROPN
ejpam-3411	162	6	,	,	PUNCT
ejpam-3411	162	7	12	12	NUM
ejpam-3411	162	8	(	(	PUNCT
ejpam-3411	162	9	2	2	NUM
ejpam-3411	162	10	)	)	PUNCT
ejpam-3411	162	11	(	(	PUNCT
ejpam-3411	162	12	2019	2019	NUM
ejpam-3411	162	13	)	)	PUNCT
ejpam-3411	162	14	,	,	PUNCT
ejpam-3411	162	15	519	519	NUM
ejpam-3411	162	16	-	-	SYM
ejpam-3411	162	17	532	532	NUM
ejpam-3411	162	18	527	527	NUM
ejpam-3411	162	19	proposition	proposition	NOUN
ejpam-3411	162	20	4	4	NUM
ejpam-3411	162	21	.	.	PUNCT
ejpam-3411	163	1	the	the	DET
ejpam-3411	163	2	exact	exact	ADJ
ejpam-3411	163	3	solution	solution	NOUN
ejpam-3411	163	4	of	of	ADP
ejpam-3411	163	5	the	the	DET
ejpam-3411	163	6	following	follow	VERB
ejpam-3411	163	7	reaction	reaction	NOUN
ejpam-3411	163	8	problem	problem	NOUN
ejpam-3411	163	9	cauchy	cauchy	PROPN
ejpam-3411	163	10	type	type	NOUN
ejpam-3411	163	11	:	:	PUNCT
ejpam-3411	163	12	(	(	PUNCT
ejpam-3411	163	13	p4	p4	ADJ
ejpam-3411	163	14	)	)	PUNCT
ejpam-3411	163	15	:	:	PUNCT
ejpam-3411	163	16			NUM
ejpam-3411	163	17	∂u	∂u	PROPN
ejpam-3411	163	18	(	(	PUNCT
ejpam-3411	163	19	t	t	PROPN
ejpam-3411	163	20	,	,	PUNCT
ejpam-3411	163	21	x	x	NOUN
ejpam-3411	163	22	)	)	PUNCT
ejpam-3411	163	23	∂t	∂t	PROPN
ejpam-3411	163	24	=	=	SYM
ejpam-3411	163	25	ε	ε	PROPN
ejpam-3411	163	26	∂2u	∂2u	PROPN
ejpam-3411	163	27	(	(	PUNCT
ejpam-3411	163	28	t	t	PROPN
ejpam-3411	163	29	,	,	PUNCT
ejpam-3411	163	30	x	x	NOUN
ejpam-3411	163	31	)	)	PUNCT
ejpam-3411	163	32	∂x2	∂x2	NOUN
ejpam-3411	163	33	+	+	ADP
ejpam-3411	163	34	λ	λ	PROPN
ejpam-3411	163	35	∂u	∂u	PROPN
ejpam-3411	163	36	(	(	PUNCT
ejpam-3411	163	37	t	t	PROPN
ejpam-3411	163	38	,	,	PUNCT
ejpam-3411	163	39	x	x	NOUN
ejpam-3411	163	40	)	)	PUNCT
ejpam-3411	163	41	∂x	∂x	NOUN
ejpam-3411	163	42	;	;	PUNCT
ejpam-3411	163	43	0	0	NUM
ejpam-3411	163	44	<	<	X
ejpam-3411	163	45	ε	ε	X
ejpam-3411	163	46	�	�	PROPN
ejpam-3411	163	47	1	1	NUM
ejpam-3411	163	48	,	,	PUNCT
ejpam-3411	163	49	λ	λ	X
ejpam-3411	163	50	>	>	X
ejpam-3411	163	51	0	0	PROPN
ejpam-3411	163	52	,	,	PUNCT
ejpam-3411	163	53	t	t	X
ejpam-3411	163	54	>	>	X
ejpam-3411	163	55	0	0	PROPN
ejpam-3411	163	56	,	,	PUNCT
ejpam-3411	163	57	x	x	SYM
ejpam-3411	163	58	∈	∈	PROPN
ejpam-3411	163	59	r	r	NOUN
ejpam-3411	163	60	u	u	NOUN
ejpam-3411	163	61	(	(	PUNCT
ejpam-3411	163	62	0	0	NUM
ejpam-3411	163	63	,	,	PUNCT
ejpam-3411	163	64	x	x	NOUN
ejpam-3411	163	65	)	)	PUNCT
ejpam-3411	163	66	=	=	SYM
ejpam-3411	163	67	ϕ	ϕ	X
ejpam-3411	163	68	(	(	PUNCT
ejpam-3411	163	69	x	x	X
ejpam-3411	163	70	)	)	PUNCT
ejpam-3411	163	71	is	be	AUX
ejpam-3411	163	72	u	u	NOUN
ejpam-3411	163	73	(	(	PUNCT
ejpam-3411	163	74	t	t	PROPN
ejpam-3411	163	75	,	,	PUNCT
ejpam-3411	163	76	x	x	NOUN
ejpam-3411	163	77	)	)	PUNCT
ejpam-3411	163	78	=	=	SYM
ejpam-3411	163	79	exp	exp	NOUN
ejpam-3411	163	80	(	(	PUNCT
ejpam-3411	163	81	−εt)ϕ	−εt)ϕ	PROPN
ejpam-3411	163	82	(	(	PUNCT
ejpam-3411	163	83	x+	x+	ADJ
ejpam-3411	163	84	λt	λt	X
ejpam-3411	163	85	)	)	PUNCT
ejpam-3411	163	86	(	(	PUNCT
ejpam-3411	163	87	24	24	NUM
ejpam-3411	163	88	)	)	PUNCT
ejpam-3411	163	89	where	where	SCONJ
ejpam-3411	163	90	(	(	PUNCT
ejpam-3411	163	91	t	t	PROPN
ejpam-3411	163	92	,	,	PUNCT
ejpam-3411	163	93	x	x	NOUN
ejpam-3411	163	94	)	)	PUNCT
ejpam-3411	163	95	∈	∈	PROPN
ejpam-3411	163	96	ω	ω	NOUN
ejpam-3411	164	1	=	=	PUNCT
ejpam-3411	165	1	[	[	X
ejpam-3411	165	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	165	3	r	r	NOUN
ejpam-3411	165	4	,	,	PUNCT
ejpam-3411	165	5	u	u	PROPN
ejpam-3411	165	6	∈	∈	PROPN
ejpam-3411	165	7	c2	c2	PROPN
ejpam-3411	165	8	(	(	PUNCT
ejpam-3411	165	9	ω	ω	PROPN
ejpam-3411	165	10	)	)	PUNCT
ejpam-3411	165	11	,	,	PUNCT
ejpam-3411	165	12	ϕ	ϕ	PROPN
ejpam-3411	165	13	∈	∈	PROPN
ejpam-3411	165	14	c2	c2	PROPN
ejpam-3411	165	15	(	(	PUNCT
ejpam-3411	165	16	r	r	NOUN
ejpam-3411	165	17	)	)	PUNCT
ejpam-3411	165	18	.	.	PUNCT
ejpam-3411	166	1	proof	proof	NOUN
ejpam-3411	166	2	.	.	PUNCT
ejpam-3411	167	1	let	let	VERB
ejpam-3411	167	2	us	we	PRON
ejpam-3411	167	3	consider	consider	VERB
ejpam-3411	167	4	u	u	PROPN
ejpam-3411	167	5	(	(	PUNCT
ejpam-3411	167	6	t	t	PROPN
ejpam-3411	167	7	,	,	PUNCT
ejpam-3411	167	8	x	x	NOUN
ejpam-3411	167	9	)	)	PUNCT
ejpam-3411	167	10	=	=	SYM
ejpam-3411	167	11	exp	exp	NOUN
ejpam-3411	167	12	(	(	PUNCT
ejpam-3411	167	13	−εt)ϕ	−εt)ϕ	PROPN
ejpam-3411	167	14	(	(	PUNCT
ejpam-3411	167	15	x+	x+	ADJ
ejpam-3411	167	16	λt	λt	ADP
ejpam-3411	167	17	)	)	PUNCT
ejpam-3411	167	18	we	we	PRON
ejpam-3411	167	19	obtain	obtain	VERB
ejpam-3411	167	20	:	:	PUNCT
ejpam-3411	167	21	∂	∂	NUM
ejpam-3411	167	22	∂t	∂t	PROPN
ejpam-3411	167	23	exp	exp	NOUN
ejpam-3411	167	24	(	(	PUNCT
ejpam-3411	167	25	−εt)ϕ	−εt)ϕ	PROPN
ejpam-3411	167	26	(	(	PUNCT
ejpam-3411	167	27	x+	x+	ADJ
ejpam-3411	167	28	λt)−	λt)−	X
ejpam-3411	167	29	ε	ε	PROPN
ejpam-3411	167	30	∂	∂	NUM
ejpam-3411	167	31	2	2	NUM
ejpam-3411	167	32	∂x2	∂x2	NOUN
ejpam-3411	167	33	exp	exp	NOUN
ejpam-3411	167	34	(	(	PUNCT
ejpam-3411	167	35	−εt)ϕ	−εt)ϕ	PROPN
ejpam-3411	167	36	(	(	PUNCT
ejpam-3411	167	37	x+	x+	ADJ
ejpam-3411	167	38	λt)−	λt)−	X
ejpam-3411	167	39	λ	λ	PROPN
ejpam-3411	167	40	∂	∂	NOUN
ejpam-3411	167	41	∂x	∂x	PROPN
ejpam-3411	167	42	exp	exp	NOUN
ejpam-3411	167	43	(	(	PUNCT
ejpam-3411	167	44	−εt)ϕ	−εt)ϕ	PROPN
ejpam-3411	167	45	(	(	PUNCT
ejpam-3411	167	46	x+	x+	ADJ
ejpam-3411	167	47	λt	λt	ADP
ejpam-3411	167	48	)	)	PUNCT
ejpam-3411	167	49	=	=	NOUN
ejpam-3411	167	50	exp	exp	NOUN
ejpam-3411	167	51	(	(	PUNCT
ejpam-3411	167	52	−εt	−εt	NOUN
ejpam-3411	167	53	)	)	PUNCT
ejpam-3411	167	54	(	(	PUNCT
ejpam-3411	167	55	−εϕ	−εϕ	X
ejpam-3411	167	56	(	(	PUNCT
ejpam-3411	167	57	x+	x+	ADJ
ejpam-3411	167	58	λt	λt	ADP
ejpam-3411	167	59	)	)	PUNCT
ejpam-3411	167	60	+	+	CCONJ
ejpam-3411	167	61	λϕ′	λϕ′	ADV
ejpam-3411	167	62	(	(	PUNCT
ejpam-3411	167	63	x+	x+	ADJ
ejpam-3411	167	64	λt)−	λt)−	ADJ
ejpam-3411	167	65	εϕ′′	εϕ′′	PROPN
ejpam-3411	167	66	(	(	PUNCT
ejpam-3411	167	67	x+	x+	PROPN
ejpam-3411	167	68	λt)−	λt)−	X
ejpam-3411	167	69	λϕ′	λϕ′	PROPN
ejpam-3411	168	1	(	(	PUNCT
ejpam-3411	168	2	x+	x+	ADJ
ejpam-3411	168	3	λt	λt	ADP
ejpam-3411	168	4	)	)	PUNCT
ejpam-3411	168	5	)	)	PUNCT
ejpam-3411	169	1	=	=	SYM
ejpam-3411	169	2	0	0	NUM
ejpam-3411	169	3	⇒	⇒	NOUN
ejpam-3411	169	4	ϕ′′	ϕ′′	PROPN
ejpam-3411	170	1	(	(	PUNCT
ejpam-3411	170	2	x+	x+	ADJ
ejpam-3411	170	3	λt	λt	ADP
ejpam-3411	170	4	)	)	PUNCT
ejpam-3411	170	5	+	+	NOUN
ejpam-3411	170	6	ϕ	ϕ	X
ejpam-3411	170	7	(	(	PUNCT
ejpam-3411	170	8	x+	x+	ADJ
ejpam-3411	170	9	λt	λt	ADP
ejpam-3411	170	10	)	)	PUNCT
ejpam-3411	170	11	=	=	SYM
ejpam-3411	170	12	0	0	NUM
ejpam-3411	170	13	⇒	⇒	PROPN
ejpam-3411	170	14	ϕ	ϕ	X
ejpam-3411	170	15	(	(	PUNCT
ejpam-3411	170	16	x+	x+	ADJ
ejpam-3411	170	17	λt	λt	ADP
ejpam-3411	170	18	)	)	PUNCT
ejpam-3411	170	19	=	=	PUNCT
ejpam-3411	170	20	a	a	DET
ejpam-3411	170	21	cos	cos	PROPN
ejpam-3411	170	22	(	(	PUNCT
ejpam-3411	170	23	x+	x+	ADJ
ejpam-3411	170	24	λt	λt	ADP
ejpam-3411	170	25	)	)	PUNCT
ejpam-3411	170	26	+	+	NOUN
ejpam-3411	170	27	b	b	NOUN
ejpam-3411	170	28	sin	sin	NOUN
ejpam-3411	170	29	(	(	PUNCT
ejpam-3411	170	30	x+	x+	ADJ
ejpam-3411	170	31	λt	λt	ADP
ejpam-3411	170	32	)	)	PUNCT
ejpam-3411	170	33	where	where	SCONJ
ejpam-3411	170	34	a	a	DET
ejpam-3411	170	35	,	,	PUNCT
ejpam-3411	170	36	b	b	X
ejpam-3411	170	37	∈	∈	PROPN
ejpam-3411	170	38	r	r	NOUN
ejpam-3411	170	39	and	and	CCONJ
ejpam-3411	170	40	u	u	NOUN
ejpam-3411	170	41	(	(	PUNCT
ejpam-3411	170	42	0	0	NUM
ejpam-3411	170	43	,	,	PUNCT
ejpam-3411	170	44	x	x	NOUN
ejpam-3411	170	45	)	)	PUNCT
ejpam-3411	170	46	=	=	SYM
ejpam-3411	170	47	ϕ	ϕ	X
ejpam-3411	170	48	(	(	PUNCT
ejpam-3411	170	49	x	x	NOUN
ejpam-3411	170	50	)	)	PUNCT
ejpam-3411	170	51	⇐	⇐	ADJ
ejpam-3411	170	52	⇒	⇒	PROPN
ejpam-3411	170	53	∀ϕ	∀ϕ	PROPN
ejpam-3411	170	54	∈	∈	PROPN
ejpam-3411	170	55	c1	c1	NOUN
ejpam-3411	170	56	(	(	PUNCT
ejpam-3411	170	57	r	r	NOUN
ejpam-3411	170	58	)	)	PUNCT
ejpam-3411	170	59	in	in	ADP
ejpam-3411	170	60	this	this	DET
ejpam-3411	170	61	case	case	NOUN
ejpam-3411	170	62	,	,	PUNCT
ejpam-3411	170	63	it	it	PRON
ejpam-3411	170	64	is	be	AUX
ejpam-3411	170	65	necessary	necessary	ADJ
ejpam-3411	170	66	and	and	CCONJ
ejpam-3411	170	67	sufficient	sufficient	ADJ
ejpam-3411	170	68	that	that	SCONJ
ejpam-3411	170	69	the	the	DET
ejpam-3411	170	70	function	function	NOUN
ejpam-3411	170	71	ϕ	ϕ	PROPN
ejpam-3411	170	72	∈	∈	PROPN
ejpam-3411	170	73	c1	c1	NOUN
ejpam-3411	170	74	(	(	PUNCT
ejpam-3411	170	75	i	i	NOUN
ejpam-3411	170	76	)	)	PUNCT
ejpam-3411	170	77	where	where	SCONJ
ejpam-3411	170	78	i	i	PRON
ejpam-3411	170	79	⊂	⊂	VERB
ejpam-3411	170	80	r	r	NOUN
ejpam-3411	170	81	or	or	CCONJ
ejpam-3411	170	82	i	i	NOUN
ejpam-3411	170	83	=	=	SYM
ejpam-3411	170	84	r	r	NOUN
ejpam-3411	170	85	,	,	PUNCT
ejpam-3411	170	86	hence	hence	ADV
ejpam-3411	170	87	the	the	DET
ejpam-3411	170	88	general	general	ADJ
ejpam-3411	170	89	solution	solution	NOUN
ejpam-3411	170	90	of	of	ADP
ejpam-3411	170	91	(	(	PUNCT
ejpam-3411	170	92	p4	p4	ADJ
ejpam-3411	170	93	)	)	PUNCT
ejpam-3411	170	94	is	be	AUX
ejpam-3411	170	95	u	u	NOUN
ejpam-3411	170	96	(	(	PUNCT
ejpam-3411	170	97	t	t	PROPN
ejpam-3411	170	98	,	,	PUNCT
ejpam-3411	170	99	x	x	NOUN
ejpam-3411	170	100	)	)	PUNCT
ejpam-3411	170	101	=	=	SYM
ejpam-3411	170	102	exp	exp	NOUN
ejpam-3411	170	103	(	(	PUNCT
ejpam-3411	170	104	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	170	105	(	(	PUNCT
ejpam-3411	170	106	αx	αx	NOUN
ejpam-3411	170	107	)	)	PUNCT
ejpam-3411	170	108	.	.	PUNCT
ejpam-3411	171	1	2.5	2.5	NUM
ejpam-3411	171	2	.	.	PUNCT
ejpam-3411	172	1	a	a	DET
ejpam-3411	172	2	reaction	reaction	NOUN
ejpam-3411	172	3	model	model	NOUN
ejpam-3411	172	4	proposition	proposition	NOUN
ejpam-3411	172	5	5	5	NUM
ejpam-3411	172	6	.	.	PUNCT
ejpam-3411	173	1	the	the	DET
ejpam-3411	173	2	exact	exact	ADJ
ejpam-3411	173	3	solution	solution	NOUN
ejpam-3411	173	4	of	of	ADP
ejpam-3411	173	5	the	the	DET
ejpam-3411	173	6	following	follow	VERB
ejpam-3411	173	7	reaction	reaction	NOUN
ejpam-3411	173	8	problem	problem	NOUN
ejpam-3411	173	9	cauchy	cauchy	PROPN
ejpam-3411	173	10	type	type	NOUN
ejpam-3411	173	11	:	:	PUNCT
ejpam-3411	173	12	(	(	PUNCT
ejpam-3411	173	13	e	e	NOUN
ejpam-3411	173	14	)	)	PUNCT
ejpam-3411	173	15			PROPN
ejpam-3411	173	16	∂u	∂u	PROPN
ejpam-3411	173	17	(	(	PUNCT
ejpam-3411	173	18	t	t	PROPN
ejpam-3411	173	19	,	,	PUNCT
ejpam-3411	173	20	x	x	NOUN
ejpam-3411	173	21	)	)	PUNCT
ejpam-3411	173	22	∂t	∂t	PROPN
ejpam-3411	173	23	=	=	PUNCT
ejpam-3411	173	24	γu	γu	PROPN
ejpam-3411	173	25	(	(	PUNCT
ejpam-3411	173	26	t	t	PROPN
ejpam-3411	173	27	,	,	PUNCT
ejpam-3411	173	28	x	x	NOUN
ejpam-3411	173	29	)	)	PUNCT
ejpam-3411	173	30	,	,	PUNCT
ejpam-3411	173	31	γ	γ	X
ejpam-3411	173	32	>	>	X
ejpam-3411	173	33	0	0	NUM
ejpam-3411	173	34	u	u	NOUN
ejpam-3411	173	35	(	(	PUNCT
ejpam-3411	173	36	0	0	NUM
ejpam-3411	173	37	,	,	PUNCT
ejpam-3411	173	38	x	x	NOUN
ejpam-3411	173	39	)	)	PUNCT
ejpam-3411	173	40	=	=	SYM
ejpam-3411	173	41	ϕ	ϕ	X
ejpam-3411	173	42	(	(	PUNCT
ejpam-3411	173	43	αx	αx	X
ejpam-3411	173	44	)	)	PUNCT
ejpam-3411	173	45	,	,	PUNCT
ejpam-3411	173	46	α	α	PROPN
ejpam-3411	173	47	6=	6=	ADP
ejpam-3411	173	48	0	0	NUM
ejpam-3411	173	49	(	(	PUNCT
ejpam-3411	173	50	25	25	NUM
ejpam-3411	173	51	)	)	PUNCT
ejpam-3411	173	52	is	be	AUX
ejpam-3411	173	53	u	u	NOUN
ejpam-3411	173	54	(	(	PUNCT
ejpam-3411	173	55	t	t	PROPN
ejpam-3411	173	56	,	,	PUNCT
ejpam-3411	173	57	x	x	NOUN
ejpam-3411	173	58	)	)	PUNCT
ejpam-3411	173	59	=	=	SYM
ejpam-3411	173	60	exp	exp	NOUN
ejpam-3411	173	61	(	(	PUNCT
ejpam-3411	173	62	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	173	63	(	(	PUNCT
ejpam-3411	173	64	αx	αx	NOUN
ejpam-3411	173	65	)	)	PUNCT
ejpam-3411	173	66	(	(	PUNCT
ejpam-3411	173	67	26	26	NUM
ejpam-3411	173	68	)	)	PUNCT
ejpam-3411	173	69	where	where	SCONJ
ejpam-3411	173	70	(	(	PUNCT
ejpam-3411	173	71	t	t	PROPN
ejpam-3411	173	72	,	,	PUNCT
ejpam-3411	173	73	x	x	NOUN
ejpam-3411	173	74	)	)	PUNCT
ejpam-3411	173	75	∈	∈	PROPN
ejpam-3411	173	76	ω	ω	NOUN
ejpam-3411	174	1	=	=	PUNCT
ejpam-3411	175	1	[	[	X
ejpam-3411	175	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	175	3	r	r	NOUN
ejpam-3411	175	4	,	,	PUNCT
ejpam-3411	175	5	u	u	PROPN
ejpam-3411	175	6	∈	∈	PROPN
ejpam-3411	175	7	c1	c1	NOUN
ejpam-3411	175	8	(	(	PUNCT
ejpam-3411	175	9	ω	ω	PROPN
ejpam-3411	175	10	)	)	PUNCT
ejpam-3411	175	11	,	,	PUNCT
ejpam-3411	175	12	ϕ	ϕ	PROPN
ejpam-3411	175	13	∈	∈	PROPN
ejpam-3411	175	14	c1	c1	NOUN
ejpam-3411	175	15	(	(	PUNCT
ejpam-3411	175	16	r	r	NOUN
ejpam-3411	175	17	)	)	PUNCT
ejpam-3411	175	18	.	.	PUNCT
ejpam-3411	176	1	proof	proof	NOUN
ejpam-3411	176	2	.	.	PUNCT
ejpam-3411	177	1	let	let	VERB
ejpam-3411	177	2	us	we	PRON
ejpam-3411	177	3	consider	consider	VERB
ejpam-3411	177	4	u	u	PROPN
ejpam-3411	177	5	(	(	PUNCT
ejpam-3411	177	6	t	t	PROPN
ejpam-3411	177	7	,	,	PUNCT
ejpam-3411	177	8	x	x	NOUN
ejpam-3411	177	9	)	)	PUNCT
ejpam-3411	177	10	=	=	SYM
ejpam-3411	177	11	exp	exp	NOUN
ejpam-3411	177	12	(	(	PUNCT
ejpam-3411	177	13	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	177	14	(	(	PUNCT
ejpam-3411	177	15	αx	αx	NOUN
ejpam-3411	177	16	)	)	PUNCT
ejpam-3411	177	17	.	.	PUNCT
ejpam-3411	178	1	we	we	PRON
ejpam-3411	178	2	obtain	obtain	VERB
ejpam-3411	178	3	:	:	PUNCT
ejpam-3411	178	4	∂	∂	NUM
ejpam-3411	178	5	∂t	∂t	PROPN
ejpam-3411	178	6	exp	exp	NOUN
ejpam-3411	178	7	(	(	PUNCT
ejpam-3411	178	8	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	178	9	(	(	PUNCT
ejpam-3411	178	10	αx)−	αx)−	PROPN
ejpam-3411	178	11	γ	γ	PROPN
ejpam-3411	178	12	exp	exp	X
ejpam-3411	178	13	(	(	PUNCT
ejpam-3411	178	14	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	178	15	(	(	PUNCT
ejpam-3411	178	16	αx	αx	NOUN
ejpam-3411	178	17	)	)	PUNCT
ejpam-3411	178	18	=	=	SYM
ejpam-3411	178	19	exp	exp	NOUN
ejpam-3411	178	20	(	(	PUNCT
ejpam-3411	178	21	γt	γt	NOUN
ejpam-3411	178	22	)	)	PUNCT
ejpam-3411	178	23	(	(	PUNCT
ejpam-3411	178	24	γ	γ	PROPN
ejpam-3411	178	25	−	−	PROPN
ejpam-3411	178	26	γ)ϕ	γ)ϕ	NOUN
ejpam-3411	178	27	(	(	PUNCT
ejpam-3411	178	28	αx	αx	ADV
ejpam-3411	178	29	)	)	PUNCT
ejpam-3411	178	30	=	=	SYM
ejpam-3411	178	31	0	0	NUM
ejpam-3411	178	32	and	and	CCONJ
ejpam-3411	178	33	u	u	X
ejpam-3411	178	34	(	(	PUNCT
ejpam-3411	178	35	0	0	NUM
ejpam-3411	178	36	,	,	PUNCT
ejpam-3411	178	37	x	x	NOUN
ejpam-3411	178	38	)	)	PUNCT
ejpam-3411	178	39	=	=	SYM
ejpam-3411	178	40	ϕ	ϕ	X
ejpam-3411	178	41	(	(	PUNCT
ejpam-3411	178	42	αx	αx	NOUN
ejpam-3411	178	43	)	)	PUNCT
ejpam-3411	178	44	⇐	⇐	ADJ
ejpam-3411	178	45	⇒	⇒	PROPN
ejpam-3411	178	46	∀ϕ	∀ϕ	PROPN
ejpam-3411	178	47	∈	∈	PROPN
ejpam-3411	178	48	c1	c1	NOUN
ejpam-3411	178	49	(	(	PUNCT
ejpam-3411	178	50	i	i	NOUN
ejpam-3411	178	51	)	)	PUNCT
ejpam-3411	178	52	where	where	SCONJ
ejpam-3411	178	53	i	i	PRON
ejpam-3411	178	54	⊂	⊂	VERB
ejpam-3411	178	55	r	r	NOUN
ejpam-3411	178	56	or	or	CCONJ
ejpam-3411	178	57	i	i	PRON
ejpam-3411	178	58	=	=	NOUN
ejpam-3411	178	59	r	r	NOUN
ejpam-3411	178	60	in	in	ADP
ejpam-3411	178	61	this	this	DET
ejpam-3411	178	62	case	case	NOUN
ejpam-3411	178	63	,	,	PUNCT
ejpam-3411	178	64	it	it	PRON
ejpam-3411	178	65	is	be	AUX
ejpam-3411	178	66	necessary	necessary	ADJ
ejpam-3411	178	67	and	and	CCONJ
ejpam-3411	178	68	sufficient	sufficient	ADJ
ejpam-3411	178	69	that	that	SCONJ
ejpam-3411	178	70	the	the	DET
ejpam-3411	178	71	function	function	NOUN
ejpam-3411	178	72	ϕ	ϕ	PROPN
ejpam-3411	178	73	∈	∈	PROPN
ejpam-3411	178	74	c1	c1	NOUN
ejpam-3411	178	75	(	(	PUNCT
ejpam-3411	178	76	i	i	NOUN
ejpam-3411	178	77	)	)	PUNCT
ejpam-3411	178	78	where	where	SCONJ
ejpam-3411	178	79	i	i	PRON
ejpam-3411	178	80	⊂	⊂	VERB
ejpam-3411	178	81	r	r	NOUN
ejpam-3411	178	82	or	or	CCONJ
ejpam-3411	178	83	i	i	PRON
ejpam-3411	178	84	⊂	⊂	PROPN
ejpam-3411	179	1	r	r	NOUN
ejpam-3411	179	2	,	,	PUNCT
ejpam-3411	179	3	hence	hence	ADV
ejpam-3411	179	4	the	the	DET
ejpam-3411	179	5	general	general	ADJ
ejpam-3411	179	6	solution	solution	NOUN
ejpam-3411	179	7	of	of	ADP
ejpam-3411	179	8	(	(	PUNCT
ejpam-3411	179	9	e	e	NOUN
ejpam-3411	179	10	)	)	PUNCT
ejpam-3411	179	11	is	be	AUX
ejpam-3411	179	12	u	u	NOUN
ejpam-3411	179	13	(	(	PUNCT
ejpam-3411	179	14	t	t	PROPN
ejpam-3411	179	15	,	,	PUNCT
ejpam-3411	179	16	x	x	NOUN
ejpam-3411	179	17	)	)	PUNCT
ejpam-3411	179	18	=	=	SYM
ejpam-3411	179	19	exp	exp	NOUN
ejpam-3411	179	20	(	(	PUNCT
ejpam-3411	179	21	γt)ϕ	γt)ϕ	PROPN
ejpam-3411	179	22	(	(	PUNCT
ejpam-3411	179	23	αx	αx	NOUN
ejpam-3411	179	24	)	)	PUNCT
ejpam-3411	179	25	.	.	PUNCT
ejpam-3411	180	1	y.	y.	PROPN
ejpam-3411	180	2	minoungou	minoungou	PROPN
ejpam-3411	180	3	,	,	PUNCT
ejpam-3411	180	4	m.	m.	NOUN
ejpam-3411	180	5	bagayogo	bagayogo	PROPN
ejpam-3411	180	6	,	,	PUNCT
ejpam-3411	180	7	y.	y.	PROPN
ejpam-3411	180	8	paré	paré	NOUN
ejpam-3411	180	9	/	/	SYM
ejpam-3411	180	10	eur	eur	PROPN
ejpam-3411	180	11	.	.	PUNCT
ejpam-3411	181	1	j.	j.	PROPN
ejpam-3411	181	2	pure	pure	PROPN
ejpam-3411	181	3	appl	appl	PROPN
ejpam-3411	181	4	.	.	PROPN
ejpam-3411	181	5	math	math	PROPN
ejpam-3411	181	6	,	,	PUNCT
ejpam-3411	181	7	12	12	NUM
ejpam-3411	181	8	(	(	PUNCT
ejpam-3411	181	9	2	2	NUM
ejpam-3411	181	10	)	)	PUNCT
ejpam-3411	181	11	(	(	PUNCT
ejpam-3411	181	12	2019	2019	NUM
ejpam-3411	181	13	)	)	PUNCT
ejpam-3411	181	14	,	,	PUNCT
ejpam-3411	181	15	519	519	NUM
ejpam-3411	181	16	-	-	SYM
ejpam-3411	181	17	532	532	NUM
ejpam-3411	181	18	528	528	NUM
ejpam-3411	181	19	2.6	2.6	NUM
ejpam-3411	181	20	.	.	PUNCT
ejpam-3411	182	1	a	a	DET
ejpam-3411	182	2	diffusion	diffusion	NOUN
ejpam-3411	182	3	-	-	PUNCT
ejpam-3411	182	4	reaction	reaction	NOUN
ejpam-3411	182	5	model	model	NOUN
ejpam-3411	182	6	let	let	VERB
ejpam-3411	182	7	us	we	PRON
ejpam-3411	182	8	consider	consider	VERB
ejpam-3411	182	9	the	the	DET
ejpam-3411	182	10	following	follow	VERB
ejpam-3411	182	11	diffision	diffision	NOUN
ejpam-3411	182	12	-	-	PUNCT
ejpam-3411	182	13	reaction	reaction	NOUN
ejpam-3411	182	14	problem	problem	NOUN
ejpam-3411	182	15	cauchy	cauchy	PROPN
ejpam-3411	182	16	type	type	NOUN
ejpam-3411	182	17	:	:	PUNCT
ejpam-3411	182	18	(	(	PUNCT
ejpam-3411	182	19	f	f	X
ejpam-3411	182	20	)	)	PUNCT
ejpam-3411	182	21			PROPN
ejpam-3411	182	22	∂u	∂u	PROPN
ejpam-3411	182	23	(	(	PUNCT
ejpam-3411	182	24	t	t	PROPN
ejpam-3411	182	25	,	,	PUNCT
ejpam-3411	182	26	x	x	NOUN
ejpam-3411	182	27	)	)	PUNCT
ejpam-3411	182	28	∂t	∂t	PROPN
ejpam-3411	182	29	=	=	SYM
ejpam-3411	182	30	ε	ε	PROPN
ejpam-3411	182	31	∂2u	∂2u	PROPN
ejpam-3411	182	32	(	(	PUNCT
ejpam-3411	182	33	t	t	PROPN
ejpam-3411	182	34	,	,	PUNCT
ejpam-3411	182	35	x	x	NOUN
ejpam-3411	182	36	)	)	PUNCT
ejpam-3411	182	37	∂x2	∂x2	NOUN
ejpam-3411	182	38	+	+	SYM
ejpam-3411	182	39	γu	γu	PROPN
ejpam-3411	182	40	(	(	PUNCT
ejpam-3411	182	41	t	t	PROPN
ejpam-3411	182	42	,	,	PUNCT
ejpam-3411	182	43	x	x	NOUN
ejpam-3411	182	44	)	)	PUNCT
ejpam-3411	182	45	,	,	PUNCT
ejpam-3411	182	46	0	0	NUM
ejpam-3411	182	47	<	<	X
ejpam-3411	182	48	ε	ε	PROPN
ejpam-3411	182	49	�	�	PROPN
ejpam-3411	182	50	1	1	NUM
ejpam-3411	182	51	,	,	PUNCT
ejpam-3411	182	52	γ	γ	X
ejpam-3411	182	53	>	>	X
ejpam-3411	182	54	0	0	NUM
ejpam-3411	182	55	u	u	NOUN
ejpam-3411	182	56	(	(	PUNCT
ejpam-3411	182	57	0	0	NUM
ejpam-3411	182	58	,	,	PUNCT
ejpam-3411	182	59	x	x	NOUN
ejpam-3411	182	60	)	)	PUNCT
ejpam-3411	182	61	=	=	SYM
ejpam-3411	182	62	sinαx	sinαx	NOUN
ejpam-3411	182	63	,	,	PUNCT
ejpam-3411	182	64	α	α	PROPN
ejpam-3411	182	65	6=	6=	ADP
ejpam-3411	182	66	0	0	NUM
ejpam-3411	182	67	(	(	PUNCT
ejpam-3411	182	68	27	27	NUM
ejpam-3411	182	69	)	)	PUNCT
ejpam-3411	182	70	where	where	SCONJ
ejpam-3411	182	71	(	(	PUNCT
ejpam-3411	182	72	t	t	PROPN
ejpam-3411	182	73	,	,	PUNCT
ejpam-3411	182	74	x	x	NOUN
ejpam-3411	182	75	)	)	PUNCT
ejpam-3411	182	76	∈	∈	PROPN
ejpam-3411	182	77	ω	ω	NOUN
ejpam-3411	182	78	=	=	PUNCT
ejpam-3411	183	1	[	[	X
ejpam-3411	183	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	183	3	r	r	NOUN
ejpam-3411	183	4	,	,	PUNCT
ejpam-3411	183	5	u	u	PROPN
ejpam-3411	183	6	∈	∈	PROPN
ejpam-3411	183	7	c2	c2	PROPN
ejpam-3411	183	8	(	(	PUNCT
ejpam-3411	183	9	ω	ω	PROPN
ejpam-3411	183	10	)	)	PUNCT
ejpam-3411	183	11	et	et	PROPN
ejpam-3411	183	12	ϕ	ϕ	PROPN
ejpam-3411	183	13	∈	∈	PROPN
ejpam-3411	183	14	c2	c2	PROPN
ejpam-3411	183	15	(	(	PUNCT
ejpam-3411	183	16	r	r	NOUN
ejpam-3411	183	17	)	)	PUNCT
ejpam-3411	183	18	.	.	PUNCT
ejpam-3411	184	1	appliying	appliye	VERB
ejpam-3411	184	2	the	the	DET
ejpam-3411	184	3	sba	sba	PROPN
ejpam-3411	184	4	method	method	NOUN
ejpam-3411	184	5	at	at	ADP
ejpam-3411	184	6	the	the	DET
ejpam-3411	184	7	step	step	NOUN
ejpam-3411	184	8	k	k	PROPN
ejpam-3411	184	9	≥	≥	PROPN
ejpam-3411	184	10	0	0	NUM
ejpam-3411	184	11	,	,	PUNCT
ejpam-3411	184	12	we	we	PRON
ejpam-3411	184	13	obtain	obtain	VERB
ejpam-3411	184	14	the	the	DET
ejpam-3411	184	15	following	follow	VERB
ejpam-3411	184	16	algorithm	algorithm	NOUN
ejpam-3411	184	17	:	:	PUNCT
ejpam-3411	184	18	(	(	PUNCT
ejpam-3411	184	19	psba	psba	NOUN
ejpam-3411	184	20	)	)	PUNCT
ejpam-3411	184	21	:	:	PUNCT
ejpam-3411	184	22			NUM
ejpam-3411	184	23	uk0	uk0	ADJ
ejpam-3411	184	24	(	(	PUNCT
ejpam-3411	184	25	t	t	PROPN
ejpam-3411	184	26	,	,	PUNCT
ejpam-3411	184	27	x	x	NOUN
ejpam-3411	184	28	)	)	PUNCT
ejpam-3411	184	29	=	=	SYM
ejpam-3411	184	30	sinαx	sinαx	PROPN
ejpam-3411	184	31	ukn+1	ukn+1	PROPN
ejpam-3411	184	32	(	(	PUNCT
ejpam-3411	184	33	t	t	PROPN
ejpam-3411	184	34	,	,	PUNCT
ejpam-3411	184	35	x	x	NOUN
ejpam-3411	184	36	)	)	PUNCT
ejpam-3411	184	37	=	=	SYM
ejpam-3411	185	1	ε	ε	PROPN
ejpam-3411	185	2	∫	∫	PROPN
ejpam-3411	185	3	t	t	PROPN
ejpam-3411	185	4	0	0	NUM
ejpam-3411	185	5	∂2u	∂2u	PROPN
ejpam-3411	185	6	(	(	PUNCT
ejpam-3411	185	7	s	s	PROPN
ejpam-3411	185	8	,	,	PUNCT
ejpam-3411	185	9	x	x	X
ejpam-3411	185	10	)	)	PUNCT
ejpam-3411	185	11	∂x2	∂x2	NOUN
ejpam-3411	185	12	ds+	ds+	NOUN
ejpam-3411	185	13	γ	γ	PROPN
ejpam-3411	185	14	∫	∫	PROPN
ejpam-3411	185	15	t	t	PROPN
ejpam-3411	185	16	0	0	NUM
ejpam-3411	185	17	ukn	ukn	PROPN
ejpam-3411	185	18	(	(	PUNCT
ejpam-3411	185	19	s	s	PROPN
ejpam-3411	185	20	,	,	PUNCT
ejpam-3411	185	21	x	x	NOUN
ejpam-3411	185	22	)	)	PUNCT
ejpam-3411	185	23	ds	ds	PROPN
ejpam-3411	185	24	;	;	PUNCT
ejpam-3411	185	25	n	n	PRON
ejpam-3411	185	26	≥	≥	NOUN
ejpam-3411	185	27	0	0	NUM
ejpam-3411	185	28	(	(	PUNCT
ejpam-3411	185	29	28	28	NUM
ejpam-3411	185	30	)	)	PUNCT
ejpam-3411	185	31	let	let	VERB
ejpam-3411	185	32	us	we	PRON
ejpam-3411	185	33	calculate	calculate	VERB
ejpam-3411	185	34	some	some	DET
ejpam-3411	185	35	terms	term	NOUN
ejpam-3411	185	36	:	:	PUNCT
ejpam-3411	185	37	we	we	PRON
ejpam-3411	185	38	obtain	obtain	VERB
ejpam-3411	185	39	at	at	ADP
ejpam-3411	185	40	the	the	DET
ejpam-3411	185	41	same	same	ADJ
ejpam-3411	185	42	way	way	NOUN
ejpam-3411	185	43	:	:	PUNCT
ejpam-3411	185	44	uk	uk	PROPN
ejpam-3411	185	45	(	(	PUNCT
ejpam-3411	185	46	t	t	PROPN
ejpam-3411	185	47	,	,	PUNCT
ejpam-3411	185	48	x	x	NOUN
ejpam-3411	185	49	)	)	PUNCT
ejpam-3411	185	50	=	=	SYM
ejpam-3411	185	51	exp	exp	NOUN
ejpam-3411	185	52	(	(	PUNCT
ejpam-3411	185	53	(	(	PUNCT
ejpam-3411	185	54	γ	γ	NOUN
ejpam-3411	185	55	−	−	PROPN
ejpam-3411	185	56	εα2	εα2	NOUN
ejpam-3411	185	57	)	)	PUNCT
ejpam-3411	185	58	t	t	PROPN
ejpam-3411	185	59	)	)	PUNCT
ejpam-3411	185	60	(	(	PUNCT
ejpam-3411	185	61	sinαx	sinαx	NOUN
ejpam-3411	185	62	cosαλt+	cosαλt+	ADP
ejpam-3411	185	63	cosαx	cosαx	NOUN
ejpam-3411	185	64	sinαλt	sinαλt	PROPN
ejpam-3411	185	65	)	)	PUNCT
ejpam-3411	186	1	we	we	PRON
ejpam-3411	186	2	obtain	obtain	VERB
ejpam-3411	186	3	the	the	DET
ejpam-3411	186	4	exact	exact	ADJ
ejpam-3411	186	5	solution	solution	NOUN
ejpam-3411	186	6	of	of	ADP
ejpam-3411	186	7	the	the	DET
ejpam-3411	186	8	problem	problem	NOUN
ejpam-3411	186	9	(	(	PUNCT
ejpam-3411	186	10	f	f	PROPN
ejpam-3411	186	11	)	)	PUNCT
ejpam-3411	186	12	:	:	PUNCT
ejpam-3411	186	13	u	u	NOUN
ejpam-3411	186	14	(	(	PUNCT
ejpam-3411	186	15	t	t	PROPN
ejpam-3411	186	16	,	,	PUNCT
ejpam-3411	186	17	x	x	NOUN
ejpam-3411	186	18	)	)	PUNCT
ejpam-3411	186	19	=	=	SYM
ejpam-3411	186	20	exp	exp	NOUN
ejpam-3411	186	21	(	(	PUNCT
ejpam-3411	186	22	(	(	PUNCT
ejpam-3411	186	23	γ	γ	NOUN
ejpam-3411	186	24	−	−	PROPN
ejpam-3411	186	25	εα2	εα2	NOUN
ejpam-3411	186	26	)	)	PUNCT
ejpam-3411	186	27	t	t	PROPN
ejpam-3411	186	28	)	)	PUNCT
ejpam-3411	186	29	sinα	sinα	NOUN
ejpam-3411	186	30	(	(	PUNCT
ejpam-3411	186	31	x+	x+	ADJ
ejpam-3411	186	32	λt	λt	X
ejpam-3411	186	33	)	)	PUNCT
ejpam-3411	186	34	(	(	PUNCT
ejpam-3411	186	35	29	29	NUM
ejpam-3411	186	36	)	)	PUNCT
ejpam-3411	186	37	proposition	proposition	NOUN
ejpam-3411	186	38	6	6	NUM
ejpam-3411	186	39	.	.	PUNCT
ejpam-3411	187	1	the	the	DET
ejpam-3411	187	2	exact	exact	ADJ
ejpam-3411	187	3	solution	solution	NOUN
ejpam-3411	187	4	of	of	ADP
ejpam-3411	187	5	the	the	DET
ejpam-3411	187	6	following	follow	VERB
ejpam-3411	187	7	diffision	diffision	NOUN
ejpam-3411	187	8	-	-	PUNCT
ejpam-3411	187	9	reaction	reaction	NOUN
ejpam-3411	187	10	problem	problem	NOUN
ejpam-3411	187	11	cauchy	cauchy	NOUN
ejpam-3411	187	12	type	type	NOUN
ejpam-3411	187	13	(	(	PUNCT
ejpam-3411	187	14	p6	p6	PROPN
ejpam-3411	187	15	)	)	PUNCT
ejpam-3411	187	16			PROPN
ejpam-3411	187	17	∂u	∂u	PROPN
ejpam-3411	187	18	(	(	PUNCT
ejpam-3411	187	19	t	t	PROPN
ejpam-3411	187	20	,	,	PUNCT
ejpam-3411	187	21	x	x	NOUN
ejpam-3411	187	22	)	)	PUNCT
ejpam-3411	187	23	∂t	∂t	PROPN
ejpam-3411	187	24	=	=	SYM
ejpam-3411	187	25	ε	ε	PROPN
ejpam-3411	187	26	∂2u	∂2u	PROPN
ejpam-3411	187	27	(	(	PUNCT
ejpam-3411	187	28	t	t	PROPN
ejpam-3411	187	29	,	,	PUNCT
ejpam-3411	187	30	x	x	NOUN
ejpam-3411	187	31	)	)	PUNCT
ejpam-3411	187	32	∂x2	∂x2	NOUN
ejpam-3411	187	33	+	+	SYM
ejpam-3411	187	34	γu	γu	PROPN
ejpam-3411	187	35	(	(	PUNCT
ejpam-3411	187	36	t	t	PROPN
ejpam-3411	187	37	,	,	PUNCT
ejpam-3411	187	38	x	x	NOUN
ejpam-3411	187	39	)	)	PUNCT
ejpam-3411	187	40	;	;	PUNCT
ejpam-3411	187	41	ε	ε	PROPN
ejpam-3411	187	42	>	>	X
ejpam-3411	187	43	0	0	PROPN
ejpam-3411	187	44	,	,	PUNCT
ejpam-3411	187	45	λ	λ	X
ejpam-3411	187	46	>	>	X
ejpam-3411	187	47	0	0	NUM
ejpam-3411	187	48	u	u	NOUN
ejpam-3411	187	49	(	(	PUNCT
ejpam-3411	187	50	0	0	NUM
ejpam-3411	187	51	,	,	PUNCT
ejpam-3411	187	52	x	x	NOUN
ejpam-3411	187	53	)	)	PUNCT
ejpam-3411	187	54	=	=	SYM
ejpam-3411	187	55	ϕ	ϕ	X
ejpam-3411	187	56	(	(	PUNCT
ejpam-3411	187	57	αx	αx	X
ejpam-3411	187	58	)	)	PUNCT
ejpam-3411	187	59	(	(	PUNCT
ejpam-3411	187	60	30	30	NUM
ejpam-3411	187	61	)	)	PUNCT
ejpam-3411	187	62	is	be	AUX
ejpam-3411	187	63	u	u	NOUN
ejpam-3411	187	64	(	(	PUNCT
ejpam-3411	187	65	t	t	PROPN
ejpam-3411	187	66	,	,	PUNCT
ejpam-3411	187	67	x	x	NOUN
ejpam-3411	187	68	)	)	PUNCT
ejpam-3411	187	69	=	=	SYM
ejpam-3411	187	70	exp	exp	NOUN
ejpam-3411	187	71	(	(	PUNCT
ejpam-3411	187	72	(	(	PUNCT
ejpam-3411	187	73	γ	γ	NOUN
ejpam-3411	187	74	−	−	PROPN
ejpam-3411	187	75	εα2	εα2	NOUN
ejpam-3411	187	76	)	)	PUNCT
ejpam-3411	187	77	t	t	PROPN
ejpam-3411	187	78	)	)	PUNCT
ejpam-3411	187	79	ϕ	ϕ	PROPN
ejpam-3411	187	80	(	(	PUNCT
ejpam-3411	187	81	α	α	X
ejpam-3411	187	82	(	(	PUNCT
ejpam-3411	187	83	x+	x+	ADJ
ejpam-3411	187	84	λt	λt	NOUN
ejpam-3411	187	85	)	)	PUNCT
ejpam-3411	187	86	)	)	PUNCT
ejpam-3411	187	87	(	(	PUNCT
ejpam-3411	187	88	31	31	NUM
ejpam-3411	187	89	)	)	PUNCT
ejpam-3411	187	90	where	where	SCONJ
ejpam-3411	187	91	(	(	PUNCT
ejpam-3411	187	92	t	t	PROPN
ejpam-3411	187	93	,	,	PUNCT
ejpam-3411	187	94	x	x	NOUN
ejpam-3411	187	95	)	)	PUNCT
ejpam-3411	187	96	∈	∈	PROPN
ejpam-3411	187	97	ω	ω	NOUN
ejpam-3411	188	1	=	=	PUNCT
ejpam-3411	189	1	[	[	X
ejpam-3411	189	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	189	3	r	r	NOUN
ejpam-3411	189	4	,	,	PUNCT
ejpam-3411	189	5	u	u	PROPN
ejpam-3411	189	6	∈	∈	PROPN
ejpam-3411	189	7	c2	c2	PROPN
ejpam-3411	189	8	(	(	PUNCT
ejpam-3411	189	9	ω	ω	PROPN
ejpam-3411	189	10	)	)	PUNCT
ejpam-3411	189	11	,	,	PUNCT
ejpam-3411	189	12	ϕ	ϕ	PROPN
ejpam-3411	189	13	∈	∈	PROPN
ejpam-3411	189	14	c2	c2	PROPN
ejpam-3411	189	15	(	(	PUNCT
ejpam-3411	189	16	r	r	NOUN
ejpam-3411	189	17	)	)	PUNCT
ejpam-3411	189	18	and	and	CCONJ
ejpam-3411	189	19	ϕ	ϕ	PROPN
ejpam-3411	189	20	verifie	verifie	VERB
ejpam-3411	189	21	the	the	DET
ejpam-3411	189	22	relation	relation	NOUN
ejpam-3411	189	23	:	:	PUNCT
ejpam-3411	189	24	ϕ	ϕ	X
ejpam-3411	189	25	(	(	PUNCT
ejpam-3411	189	26	x	x	X
ejpam-3411	189	27	)	)	PUNCT
ejpam-3411	189	28	=	=	PUNCT
ejpam-3411	189	29	a	a	DET
ejpam-3411	189	30	cosx+b	cosx+b	PROPN
ejpam-3411	189	31	sinx	sinx	X
ejpam-3411	189	32	;	;	PUNCT
ejpam-3411	189	33	a	a	DET
ejpam-3411	189	34	,	,	PUNCT
ejpam-3411	189	35	b	b	X
ejpam-3411	189	36	∈	∈	PROPN
ejpam-3411	189	37	r	r	NOUN
ejpam-3411	189	38	(	(	PUNCT
ejpam-3411	189	39	32	32	NUM
ejpam-3411	189	40	)	)	PUNCT
ejpam-3411	189	41	proof	proof	NOUN
ejpam-3411	189	42	.	.	PUNCT
ejpam-3411	189	43	let	let	VERB
ejpam-3411	189	44	us	we	PRON
ejpam-3411	189	45	consider	consider	VERB
ejpam-3411	189	46	u	u	PROPN
ejpam-3411	189	47	(	(	PUNCT
ejpam-3411	189	48	t	t	PROPN
ejpam-3411	189	49	,	,	PUNCT
ejpam-3411	189	50	x	x	NOUN
ejpam-3411	189	51	)	)	PUNCT
ejpam-3411	189	52	=	=	SYM
ejpam-3411	189	53	exp	exp	NOUN
ejpam-3411	189	54	(	(	PUNCT
ejpam-3411	189	55	−εα2	−εα2	PROPN
ejpam-3411	189	56	t	t	NOUN
ejpam-3411	189	57	)	)	PUNCT
ejpam-3411	189	58	ϕ	ϕ	PROPN
ejpam-3411	189	59	(	(	PUNCT
ejpam-3411	189	60	α	α	X
ejpam-3411	189	61	(	(	PUNCT
ejpam-3411	189	62	x+	x+	ADJ
ejpam-3411	189	63	λt	λt	ADP
ejpam-3411	189	64	)	)	PUNCT
ejpam-3411	189	65	)	)	PUNCT
ejpam-3411	189	66	.	.	PUNCT
ejpam-3411	190	1	we	we	PRON
ejpam-3411	190	2	obtain	obtain	VERB
ejpam-3411	190	3	:	:	PUNCT
ejpam-3411	190	4	∂	∂	NUM
ejpam-3411	190	5	∂t	∂t	PROPN
ejpam-3411	190	6	exp	exp	NOUN
ejpam-3411	190	7	(	(	PUNCT
ejpam-3411	190	8	−εα2	−εα2	PROPN
ejpam-3411	190	9	t	t	NOUN
ejpam-3411	190	10	)	)	PUNCT
ejpam-3411	190	11	ϕ	ϕ	PROPN
ejpam-3411	190	12	(	(	PUNCT
ejpam-3411	190	13	α	α	X
ejpam-3411	190	14	(	(	PUNCT
ejpam-3411	190	15	x+	x+	ADJ
ejpam-3411	190	16	λt))−	λt))−	PROPN
ejpam-3411	190	17	ε	ε	PROPN
ejpam-3411	190	18	∂	∂	NUM
ejpam-3411	190	19	2	2	NUM
ejpam-3411	190	20	∂x2	∂x2	NOUN
ejpam-3411	190	21	exp	exp	NOUN
ejpam-3411	190	22	(	(	PUNCT
ejpam-3411	190	23	−εα2	−εα2	PROPN
ejpam-3411	190	24	t	t	NOUN
ejpam-3411	190	25	)	)	PUNCT
ejpam-3411	190	26	ϕ	ϕ	PROPN
ejpam-3411	190	27	(	(	PUNCT
ejpam-3411	190	28	α	α	X
ejpam-3411	190	29	(	(	PUNCT
ejpam-3411	190	30	x+	x+	ADJ
ejpam-3411	190	31	λt	λt	NOUN
ejpam-3411	190	32	)	)	PUNCT
ejpam-3411	190	33	)	)	PUNCT
ejpam-3411	190	34	−λ	−λ	PROPN
ejpam-3411	190	35	∂	∂	NUM
ejpam-3411	190	36	∂x	∂x	PROPN
ejpam-3411	190	37	exp	exp	NOUN
ejpam-3411	190	38	(	(	PUNCT
ejpam-3411	190	39	−εα2	−εα2	PROPN
ejpam-3411	190	40	t	t	NOUN
ejpam-3411	190	41	)	)	PUNCT
ejpam-3411	190	42	ϕ	ϕ	PROPN
ejpam-3411	190	43	(	(	PUNCT
ejpam-3411	190	44	α	α	X
ejpam-3411	190	45	(	(	PUNCT
ejpam-3411	190	46	x+	x+	ADJ
ejpam-3411	190	47	λt	λt	NOUN
ejpam-3411	190	48	)	)	PUNCT
ejpam-3411	190	49	)	)	PUNCT
ejpam-3411	191	1	=	=	SYM
ejpam-3411	191	2	exp	exp	NOUN
ejpam-3411	191	3	(	(	PUNCT
ejpam-3411	191	4	−εα2	−εα2	PROPN
ejpam-3411	191	5	t	t	NOUN
ejpam-3411	191	6	)	)	PUNCT
ejpam-3411	191	7	(	(	PUNCT
ejpam-3411	191	8	−εα2ϕ	−εα2ϕ	X
ejpam-3411	191	9	(	(	PUNCT
ejpam-3411	191	10	α	α	X
ejpam-3411	191	11	(	(	PUNCT
ejpam-3411	191	12	x+	x+	ADJ
ejpam-3411	191	13	λt	λt	NOUN
ejpam-3411	191	14	)	)	PUNCT
ejpam-3411	191	15	)	)	PUNCT
ejpam-3411	192	1	+	+	CCONJ
ejpam-3411	192	2	αλϕ′	αλϕ′	NUM
ejpam-3411	192	3	(	(	PUNCT
ejpam-3411	192	4	α	α	NOUN
ejpam-3411	192	5	(	(	PUNCT
ejpam-3411	192	6	x+	x+	ADJ
ejpam-3411	192	7	λt	λt	NOUN
ejpam-3411	192	8	)	)	PUNCT
ejpam-3411	192	9	)	)	PUNCT
ejpam-3411	193	1	−εα2ϕ′′	−εα2ϕ′′	NOUN
ejpam-3411	193	2	(	(	PUNCT
ejpam-3411	193	3	α	α	X
ejpam-3411	193	4	(	(	PUNCT
ejpam-3411	193	5	x+	x+	PROPN
ejpam-3411	193	6	λt))−	λt))−	PROPN
ejpam-3411	193	7	λαϕ′	λαϕ′	NOUN
ejpam-3411	193	8	(	(	PUNCT
ejpam-3411	193	9	α	α	X
ejpam-3411	193	10	(	(	PUNCT
ejpam-3411	193	11	x+	x+	ADJ
ejpam-3411	193	12	λt	λt	NOUN
ejpam-3411	193	13	)	)	PUNCT
ejpam-3411	193	14	)	)	PUNCT
ejpam-3411	193	15	)	)	PUNCT
ejpam-3411	194	1	y.	y.	PROPN
ejpam-3411	194	2	minoungou	minoungou	PROPN
ejpam-3411	194	3	,	,	PUNCT
ejpam-3411	194	4	m.	m.	NOUN
ejpam-3411	194	5	bagayogo	bagayogo	PROPN
ejpam-3411	194	6	,	,	PUNCT
ejpam-3411	194	7	y.	y.	PROPN
ejpam-3411	194	8	paré	paré	NOUN
ejpam-3411	194	9	/	/	SYM
ejpam-3411	194	10	eur	eur	PROPN
ejpam-3411	194	11	.	.	PUNCT
ejpam-3411	195	1	j.	j.	PROPN
ejpam-3411	195	2	pure	pure	PROPN
ejpam-3411	195	3	appl	appl	PROPN
ejpam-3411	195	4	.	.	PROPN
ejpam-3411	195	5	math	math	PROPN
ejpam-3411	195	6	,	,	PUNCT
ejpam-3411	195	7	12	12	NUM
ejpam-3411	195	8	(	(	PUNCT
ejpam-3411	195	9	2	2	NUM
ejpam-3411	195	10	)	)	PUNCT
ejpam-3411	195	11	(	(	PUNCT
ejpam-3411	195	12	2019	2019	NUM
ejpam-3411	195	13	)	)	PUNCT
ejpam-3411	195	14	,	,	PUNCT
ejpam-3411	195	15	519	519	NUM
ejpam-3411	195	16	-	-	SYM
ejpam-3411	195	17	532	532	NUM
ejpam-3411	195	18	529	529	NUM
ejpam-3411	195	19	=	=	SYM
ejpam-3411	195	20	0	0	NUM
ejpam-3411	195	21	⇔	⇔	PROPN
ejpam-3411	195	22	ϕ	ϕ	PROPN
ejpam-3411	195	23	(	(	PUNCT
ejpam-3411	195	24	α	α	X
ejpam-3411	195	25	(	(	PUNCT
ejpam-3411	195	26	x+	x+	ADJ
ejpam-3411	195	27	λt	λt	ADP
ejpam-3411	195	28	)	)	PUNCT
ejpam-3411	195	29	)	)	PUNCT
ejpam-3411	196	1	+	+	CCONJ
ejpam-3411	196	2	ϕ′′	ϕ′′	NOUN
ejpam-3411	196	3	(	(	PUNCT
ejpam-3411	196	4	α	α	X
ejpam-3411	196	5	(	(	PUNCT
ejpam-3411	196	6	x+	x+	ADJ
ejpam-3411	196	7	λt	λt	NOUN
ejpam-3411	196	8	)	)	PUNCT
ejpam-3411	196	9	)	)	PUNCT
ejpam-3411	196	10	=	=	SYM
ejpam-3411	196	11	0	0	NUM
ejpam-3411	196	12	⇒	⇒	PROPN
ejpam-3411	196	13	ϕ	ϕ	PROPN
ejpam-3411	196	14	(	(	PUNCT
ejpam-3411	196	15	α	α	X
ejpam-3411	196	16	(	(	PUNCT
ejpam-3411	196	17	x+	x+	ADJ
ejpam-3411	196	18	λt	λt	NOUN
ejpam-3411	196	19	)	)	PUNCT
ejpam-3411	196	20	)	)	PUNCT
ejpam-3411	197	1	=	=	PUNCT
ejpam-3411	197	2	a	a	DET
ejpam-3411	197	3	cos	cos	PROPN
ejpam-3411	197	4	(	(	PUNCT
ejpam-3411	197	5	α	α	PROPN
ejpam-3411	197	6	(	(	PUNCT
ejpam-3411	197	7	x+	x+	ADJ
ejpam-3411	197	8	λt	λt	NOUN
ejpam-3411	197	9	)	)	PUNCT
ejpam-3411	197	10	)	)	PUNCT
ejpam-3411	198	1	+	+	NOUN
ejpam-3411	198	2	b	b	NOUN
ejpam-3411	198	3	sin	sin	NOUN
ejpam-3411	198	4	(	(	PUNCT
ejpam-3411	198	5	α	α	NOUN
ejpam-3411	198	6	(	(	PUNCT
ejpam-3411	198	7	x+	x+	ADJ
ejpam-3411	198	8	λt	λt	NOUN
ejpam-3411	198	9	)	)	PUNCT
ejpam-3411	198	10	)	)	PUNCT
ejpam-3411	198	11	,	,	PUNCT
ejpam-3411	198	12	a	a	DET
ejpam-3411	198	13	,	,	PUNCT
ejpam-3411	198	14	b	b	X
ejpam-3411	198	15	∈	∈	NOUN
ejpam-3411	198	16	r	r	NOUN
ejpam-3411	198	17	hence	hence	ADV
ejpam-3411	198	18	the	the	DET
ejpam-3411	198	19	general	general	ADJ
ejpam-3411	198	20	solution	solution	NOUN
ejpam-3411	198	21	of	of	ADP
ejpam-3411	198	22	(	(	PUNCT
ejpam-3411	198	23	p6	p6	PROPN
ejpam-3411	198	24	)	)	PUNCT
ejpam-3411	198	25	is	be	AUX
ejpam-3411	198	26	of	of	ADP
ejpam-3411	198	27	the	the	DET
ejpam-3411	198	28	form	form	NOUN
ejpam-3411	198	29	:	:	PUNCT
ejpam-3411	198	30	u	u	NOUN
ejpam-3411	198	31	(	(	PUNCT
ejpam-3411	198	32	t	t	PROPN
ejpam-3411	198	33	,	,	PUNCT
ejpam-3411	198	34	x	x	NOUN
ejpam-3411	198	35	)	)	PUNCT
ejpam-3411	198	36	=	=	SYM
ejpam-3411	198	37	exp	exp	NOUN
ejpam-3411	198	38	(	(	PUNCT
ejpam-3411	198	39	−εα2	−εα2	PROPN
ejpam-3411	198	40	t	t	NOUN
ejpam-3411	198	41	)	)	PUNCT
ejpam-3411	198	42	ϕ	ϕ	PROPN
ejpam-3411	198	43	(	(	PUNCT
ejpam-3411	198	44	α	α	X
ejpam-3411	198	45	(	(	PUNCT
ejpam-3411	198	46	x+	x+	ADJ
ejpam-3411	198	47	λt	λt	NOUN
ejpam-3411	198	48	)	)	PUNCT
ejpam-3411	198	49	)	)	PUNCT
ejpam-3411	198	50	,	,	PUNCT
ejpam-3411	198	51	with	with	ADP
ejpam-3411	198	52	ϕ	ϕ	PROPN
ejpam-3411	198	53	(	(	PUNCT
ejpam-3411	198	54	α	α	X
ejpam-3411	198	55	(	(	PUNCT
ejpam-3411	198	56	x+	x+	ADJ
ejpam-3411	198	57	λt	λt	NOUN
ejpam-3411	198	58	)	)	PUNCT
ejpam-3411	198	59	)	)	PUNCT
ejpam-3411	199	1	=	=	PUNCT
ejpam-3411	199	2	a	a	DET
ejpam-3411	199	3	cos	cos	PROPN
ejpam-3411	199	4	(	(	PUNCT
ejpam-3411	199	5	α	α	PROPN
ejpam-3411	199	6	(	(	PUNCT
ejpam-3411	199	7	x+	x+	ADJ
ejpam-3411	199	8	λt	λt	NOUN
ejpam-3411	199	9	)	)	PUNCT
ejpam-3411	199	10	)	)	PUNCT
ejpam-3411	200	1	+	+	NOUN
ejpam-3411	200	2	b	b	NOUN
ejpam-3411	200	3	sin	sin	NOUN
ejpam-3411	200	4	(	(	PUNCT
ejpam-3411	200	5	α	α	NOUN
ejpam-3411	200	6	(	(	PUNCT
ejpam-3411	200	7	x+	x+	ADJ
ejpam-3411	200	8	λt	λt	NOUN
ejpam-3411	200	9	)	)	PUNCT
ejpam-3411	200	10	)	)	PUNCT
ejpam-3411	200	11	and	and	CCONJ
ejpam-3411	200	12	u	u	X
ejpam-3411	200	13	(	(	PUNCT
ejpam-3411	200	14	0	0	NUM
ejpam-3411	200	15	,	,	PUNCT
ejpam-3411	200	16	x	x	NOUN
ejpam-3411	200	17	)	)	PUNCT
ejpam-3411	200	18	=	=	SYM
ejpam-3411	200	19	ϕ	ϕ	X
ejpam-3411	200	20	(	(	PUNCT
ejpam-3411	200	21	αx	αx	X
ejpam-3411	200	22	)	)	PUNCT
ejpam-3411	200	23	.	.	PUNCT
ejpam-3411	201	1	2.7	2.7	NUM
ejpam-3411	201	2	.	.	PUNCT
ejpam-3411	202	1	a	a	DET
ejpam-3411	202	2	diffusion	diffusion	NOUN
ejpam-3411	202	3	-	-	PUNCT
ejpam-3411	202	4	convection	convection	NOUN
ejpam-3411	202	5	-	-	PUNCT
ejpam-3411	202	6	reaction	reaction	NOUN
ejpam-3411	202	7	problem	problem	NOUN
ejpam-3411	202	8	cauchy	cauchy	NOUN
ejpam-3411	202	9	type	type	NOUN
ejpam-3411	202	10	let	let	VERB
ejpam-3411	202	11	us	we	PRON
ejpam-3411	202	12	consider	consider	VERB
ejpam-3411	202	13	the	the	DET
ejpam-3411	202	14	following	follow	VERB
ejpam-3411	202	15	diffision	diffision	NOUN
ejpam-3411	202	16	-	-	PUNCT
ejpam-3411	202	17	convection	convection	NOUN
ejpam-3411	202	18	-	-	PUNCT
ejpam-3411	202	19	reaction	reaction	NOUN
ejpam-3411	202	20	problem	problem	NOUN
ejpam-3411	202	21	cauchy	cauchy	PROPN
ejpam-3411	202	22	type	type	NOUN
ejpam-3411	202	23	:	:	PUNCT
ejpam-3411	202	24	(	(	PUNCT
ejpam-3411	202	25	h	h	NOUN
ejpam-3411	202	26	)	)	PUNCT
ejpam-3411	203	1			PROPN
ejpam-3411	203	2	∂u	∂u	PROPN
ejpam-3411	203	3	(	(	PUNCT
ejpam-3411	203	4	t	t	PROPN
ejpam-3411	203	5	,	,	PUNCT
ejpam-3411	203	6	x	x	NOUN
ejpam-3411	203	7	)	)	PUNCT
ejpam-3411	203	8	∂t	∂t	PROPN
ejpam-3411	203	9	=	=	SYM
ejpam-3411	203	10	ε	ε	PROPN
ejpam-3411	203	11	∂2u	∂2u	PROPN
ejpam-3411	203	12	(	(	PUNCT
ejpam-3411	203	13	t	t	PROPN
ejpam-3411	203	14	,	,	PUNCT
ejpam-3411	203	15	x	x	NOUN
ejpam-3411	203	16	)	)	PUNCT
ejpam-3411	203	17	∂2x	∂2x	NOUN
ejpam-3411	204	1	+	+	CCONJ
ejpam-3411	204	2	λ	λ	X
ejpam-3411	204	3	∂u	∂u	PROPN
ejpam-3411	204	4	(	(	PUNCT
ejpam-3411	204	5	t	t	PROPN
ejpam-3411	204	6	,	,	PUNCT
ejpam-3411	204	7	x	x	NOUN
ejpam-3411	204	8	)	)	PUNCT
ejpam-3411	204	9	∂x	∂x	PROPN
ejpam-3411	204	10	+	+	CCONJ
ejpam-3411	204	11	γu	γu	PROPN
ejpam-3411	204	12	(	(	PUNCT
ejpam-3411	204	13	t	t	PROPN
ejpam-3411	204	14	,	,	PUNCT
ejpam-3411	204	15	x	x	NOUN
ejpam-3411	204	16	)	)	PUNCT
ejpam-3411	204	17	,	,	PUNCT
ejpam-3411	204	18	ε	ε	PROPN
ejpam-3411	204	19	>	>	X
ejpam-3411	204	20	0	0	PROPN
ejpam-3411	204	21	,	,	PUNCT
ejpam-3411	204	22	λ	λ	X
ejpam-3411	204	23	>	>	X
ejpam-3411	204	24	0	0	PROPN
ejpam-3411	204	25	,	,	PUNCT
ejpam-3411	204	26	γ	γ	X
ejpam-3411	204	27	>	>	X
ejpam-3411	204	28	0	0	NUM
ejpam-3411	204	29	u	u	NOUN
ejpam-3411	204	30	(	(	PUNCT
ejpam-3411	204	31	0	0	NUM
ejpam-3411	204	32	,	,	PUNCT
ejpam-3411	204	33	x	x	NOUN
ejpam-3411	204	34	)	)	PUNCT
ejpam-3411	204	35	=	=	SYM
ejpam-3411	204	36	sinαx	sinαx	NOUN
ejpam-3411	204	37	(	(	PUNCT
ejpam-3411	204	38	33	33	NUM
ejpam-3411	204	39	)	)	PUNCT
ejpam-3411	204	40	where	where	SCONJ
ejpam-3411	204	41	(	(	PUNCT
ejpam-3411	204	42	t	t	PROPN
ejpam-3411	204	43	,	,	PUNCT
ejpam-3411	204	44	x	x	NOUN
ejpam-3411	204	45	)	)	PUNCT
ejpam-3411	204	46	∈	∈	PROPN
ejpam-3411	204	47	ω	ω	NOUN
ejpam-3411	205	1	=	=	PUNCT
ejpam-3411	206	1	[	[	X
ejpam-3411	206	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	206	3	r	r	NOUN
ejpam-3411	206	4	,	,	PUNCT
ejpam-3411	206	5	u	u	PROPN
ejpam-3411	206	6	∈	∈	PROPN
ejpam-3411	206	7	c2	c2	PROPN
ejpam-3411	206	8	(	(	PUNCT
ejpam-3411	206	9	ω	ω	PROPN
ejpam-3411	206	10	)	)	PUNCT
ejpam-3411	206	11	et	et	PROPN
ejpam-3411	206	12	ϕ	ϕ	PROPN
ejpam-3411	206	13	∈	∈	PROPN
ejpam-3411	206	14	c2	c2	PROPN
ejpam-3411	206	15	(	(	PUNCT
ejpam-3411	206	16	r	r	NOUN
ejpam-3411	206	17	)	)	PUNCT
ejpam-3411	206	18	.	.	PUNCT
ejpam-3411	207	1	appliying	appliye	VERB
ejpam-3411	207	2	the	the	DET
ejpam-3411	207	3	sba	sba	PROPN
ejpam-3411	207	4	method	method	NOUN
ejpam-3411	207	5	at	at	ADP
ejpam-3411	207	6	the	the	DET
ejpam-3411	207	7	step	step	NOUN
ejpam-3411	207	8	k	k	PROPN
ejpam-3411	207	9	≥	≥	PROPN
ejpam-3411	207	10	0	0	NUM
ejpam-3411	207	11	,	,	PUNCT
ejpam-3411	207	12	we	we	PRON
ejpam-3411	207	13	obtain	obtain	VERB
ejpam-3411	207	14	the	the	DET
ejpam-3411	207	15	following	follow	VERB
ejpam-3411	207	16	algorithm	algorithm	NOUN
ejpam-3411	207	17	:	:	PUNCT
ejpam-3411	207	18	(	(	PUNCT
ejpam-3411	207	19	psba	psba	NOUN
ejpam-3411	207	20	)	)	PUNCT
ejpam-3411	207	21	:	:	PUNCT
ejpam-3411	207	22			NUM
ejpam-3411	207	23	uk0	uk0	ADJ
ejpam-3411	207	24	(	(	PUNCT
ejpam-3411	207	25	t	t	PROPN
ejpam-3411	207	26	,	,	PUNCT
ejpam-3411	207	27	x	x	NOUN
ejpam-3411	207	28	)	)	PUNCT
ejpam-3411	207	29	=	=	SYM
ejpam-3411	207	30	sinαx	sinαx	PROPN
ejpam-3411	207	31	ukn+1	ukn+1	PROPN
ejpam-3411	207	32	(	(	PUNCT
ejpam-3411	207	33	t	t	PROPN
ejpam-3411	207	34	,	,	PUNCT
ejpam-3411	207	35	x	x	NOUN
ejpam-3411	207	36	)	)	PUNCT
ejpam-3411	207	37	=	=	SYM
ejpam-3411	208	1	ε	ε	PROPN
ejpam-3411	208	2	∫	∫	PROPN
ejpam-3411	208	3	t	t	PROPN
ejpam-3411	208	4	0	0	NUM
ejpam-3411	208	5	∂2u	∂2u	PROPN
ejpam-3411	208	6	(	(	PUNCT
ejpam-3411	208	7	s	s	PROPN
ejpam-3411	208	8	,	,	PUNCT
ejpam-3411	208	9	x	x	NOUN
ejpam-3411	208	10	)	)	PUNCT
ejpam-3411	208	11	∂2x	∂2x	NOUN
ejpam-3411	208	12	ds+	ds+	NOUN
ejpam-3411	208	13	λ	λ	X
ejpam-3411	208	14	∂u	∂u	PROPN
ejpam-3411	208	15	(	(	PUNCT
ejpam-3411	208	16	t	t	PROPN
ejpam-3411	208	17	,	,	PUNCT
ejpam-3411	208	18	x	x	NOUN
ejpam-3411	208	19	)	)	PUNCT
ejpam-3411	208	20	∂x	∂x	PROPN
ejpam-3411	209	1	+	+	CCONJ
ejpam-3411	209	2	γ	γ	PROPN
ejpam-3411	209	3	∫	∫	PROPN
ejpam-3411	209	4	t	t	PROPN
ejpam-3411	209	5	0	0	NUM
ejpam-3411	209	6	ukn	ukn	PROPN
ejpam-3411	209	7	(	(	PUNCT
ejpam-3411	209	8	s	s	PROPN
ejpam-3411	209	9	,	,	PUNCT
ejpam-3411	209	10	x	x	NOUN
ejpam-3411	209	11	)	)	PUNCT
ejpam-3411	209	12	ds	ds	PROPN
ejpam-3411	209	13	,	,	PUNCT
ejpam-3411	209	14	n	n	PRON
ejpam-3411	209	15	≥	≥	NOUN
ejpam-3411	209	16	0	0	NUM
ejpam-3411	209	17	(	(	PUNCT
ejpam-3411	209	18	34	34	NUM
ejpam-3411	209	19	)	)	PUNCT
ejpam-3411	209	20	let	let	VERB
ejpam-3411	209	21	us	we	PRON
ejpam-3411	209	22	calculate	calculate	VERB
ejpam-3411	209	23	the	the	DET
ejpam-3411	209	24	following	following	ADJ
ejpam-3411	209	25	terms	term	NOUN
ejpam-3411	209	26	:	:	PUNCT
ejpam-3411	209	27	uk1	uk1	PROPN
ejpam-3411	209	28	(	(	PUNCT
ejpam-3411	209	29	t	t	PROPN
ejpam-3411	209	30	,	,	PUNCT
ejpam-3411	209	31	x	x	NOUN
ejpam-3411	209	32	)	)	PUNCT
ejpam-3411	209	33	,	,	PUNCT
ejpam-3411	209	34	uk2	uk2	PROPN
ejpam-3411	209	35	(	(	PUNCT
ejpam-3411	209	36	t	t	PROPN
ejpam-3411	209	37	,	,	PUNCT
ejpam-3411	209	38	x	x	NOUN
ejpam-3411	209	39	)	)	PUNCT
ejpam-3411	209	40	,	,	PUNCT
ejpam-3411	209	41	uk3	uk3	PROPN
ejpam-3411	209	42	(	(	PUNCT
ejpam-3411	209	43	t	t	PROPN
ejpam-3411	209	44	,	,	PUNCT
ejpam-3411	209	45	x	x	NOUN
ejpam-3411	209	46	)	)	PUNCT
ejpam-3411	209	47	,	,	PUNCT
ejpam-3411	209	48	...	...	PUNCT
ejpam-3411	209	49	let	let	VERB
ejpam-3411	209	50	us	we	PRON
ejpam-3411	209	51	consider	consider	VERB
ejpam-3411	209	52	the	the	DET
ejpam-3411	209	53	following	follow	VERB
ejpam-3411	209	54	cauchy	cauchy	PROPN
ejpam-3411	209	55	linear	linear	PROPN
ejpam-3411	209	56	equation	equation	NOUN
ejpam-3411	209	57	:	:	PUNCT
ejpam-3411	209	58	(	(	PUNCT
ejpam-3411	209	59	p3	p3	PROPN
ejpam-3411	209	60	)	)	PUNCT
ejpam-3411	209	61	:	:	PUNCT
ejpam-3411	210	1			PUNCT
ejpam-3411	210	2	∂u	∂u	PROPN
ejpam-3411	210	3	(	(	PUNCT
ejpam-3411	210	4	t	t	PROPN
ejpam-3411	210	5	,	,	PUNCT
ejpam-3411	210	6	x	x	NOUN
ejpam-3411	210	7	)	)	PUNCT
ejpam-3411	210	8	∂t	∂t	PROPN
ejpam-3411	210	9	=	=	SYM
ejpam-3411	210	10	ε	ε	PROPN
ejpam-3411	210	11	∂u	∂u	PROPN
ejpam-3411	210	12	(	(	PUNCT
ejpam-3411	210	13	t	t	PROPN
ejpam-3411	210	14	,	,	PUNCT
ejpam-3411	210	15	x	x	NOUN
ejpam-3411	210	16	)	)	PUNCT
ejpam-3411	210	17	∂x	∂x	PROPN
ejpam-3411	210	18	+	+	CCONJ
ejpam-3411	210	19	µu	µu	PROPN
ejpam-3411	210	20	(	(	PUNCT
ejpam-3411	210	21	t	t	PROPN
ejpam-3411	210	22	,	,	PUNCT
ejpam-3411	210	23	x	x	NOUN
ejpam-3411	210	24	)	)	PUNCT
ejpam-3411	210	25	;	;	PUNCT
ejpam-3411	210	26	0	0	NUM
ejpam-3411	210	27	<	<	X
ejpam-3411	210	28	ε	ε	PROPN
ejpam-3411	210	29	�	�	PROPN
ejpam-3411	210	30	1	1	NUM
ejpam-3411	210	31	,	,	PUNCT
ejpam-3411	210	32	µ	µ	X
ejpam-3411	210	33	>	>	X
ejpam-3411	210	34	0	0	PROPN
ejpam-3411	210	35	,	,	PUNCT
ejpam-3411	210	36	t	t	X
ejpam-3411	210	37	>	>	X
ejpam-3411	210	38	0	0	PROPN
ejpam-3411	210	39	,	,	PUNCT
ejpam-3411	210	40	x	x	SYM
ejpam-3411	210	41	∈	∈	PROPN
ejpam-3411	210	42	r	r	NOUN
ejpam-3411	210	43	u	u	NOUN
ejpam-3411	210	44	(	(	PUNCT
ejpam-3411	210	45	0	0	NUM
ejpam-3411	210	46	,	,	PUNCT
ejpam-3411	210	47	x	x	NOUN
ejpam-3411	210	48	)	)	PUNCT
ejpam-3411	210	49	=	=	SYM
ejpam-3411	211	1	cosx	cosx	NOUN
ejpam-3411	211	2	applying	apply	VERB
ejpam-3411	211	3	the	the	DET
ejpam-3411	211	4	algorithm	algorithm	NOUN
ejpam-3411	211	5	sba	sba	NOUN
ejpam-3411	211	6	to	to	ADP
ejpam-3411	211	7	(	(	PUNCT
ejpam-3411	211	8	p3	p3	PROPN
ejpam-3411	211	9	)	)	PUNCT
ejpam-3411	211	10	,	,	PUNCT
ejpam-3411	211	11	we	we	PRON
ejpam-3411	211	12	have	have	VERB
ejpam-3411	211	13	:	:	PUNCT
ejpam-3411	211	14	psba	psba	NOUN
ejpam-3411	211	15	:	:	PUNCT
ejpam-3411	211	16			NUM
ejpam-3411	211	17	uk0	uk0	ADJ
ejpam-3411	211	18	(	(	PUNCT
ejpam-3411	211	19	t	t	PROPN
ejpam-3411	211	20	,	,	PUNCT
ejpam-3411	211	21	x	x	NOUN
ejpam-3411	211	22	)	)	PUNCT
ejpam-3411	211	23	=	=	SYM
ejpam-3411	211	24	cosx	cosx	PROPN
ejpam-3411	211	25	ukn+1	ukn+1	PROPN
ejpam-3411	211	26	(	(	PUNCT
ejpam-3411	211	27	t	t	PROPN
ejpam-3411	211	28	,	,	PUNCT
ejpam-3411	211	29	x	x	NOUN
ejpam-3411	211	30	)	)	PUNCT
ejpam-3411	211	31	=	=	SYM
ejpam-3411	212	1	∫	∫	PROPN
ejpam-3411	212	2	t	t	PROPN
ejpam-3411	212	3	0	0	NUM
ejpam-3411	213	1	(	(	PUNCT
ejpam-3411	213	2	ε	ε	PROPN
ejpam-3411	213	3	∂ukn	∂ukn	NUM
ejpam-3411	213	4	(	(	PUNCT
ejpam-3411	213	5	s	s	PROPN
ejpam-3411	213	6	,	,	PUNCT
ejpam-3411	213	7	x	x	NOUN
ejpam-3411	213	8	)	)	PUNCT
ejpam-3411	213	9	∂x	∂x	PROPN
ejpam-3411	213	10	+	+	CCONJ
ejpam-3411	213	11	µukn	µukn	ADJ
ejpam-3411	213	12	(	(	PUNCT
ejpam-3411	213	13	s	s	PROPN
ejpam-3411	213	14	,	,	PUNCT
ejpam-3411	213	15	x	x	NOUN
ejpam-3411	213	16	)	)	PUNCT
ejpam-3411	213	17	)	)	PUNCT
ejpam-3411	213	18	ds	ds	X
ejpam-3411	213	19	;	;	PUNCT
ejpam-3411	213	20	n	n	PRON
ejpam-3411	213	21	≥	≥	NOUN
ejpam-3411	213	22	0	0	NUM
ejpam-3411	213	23	(	(	PUNCT
ejpam-3411	213	24	35	35	NUM
ejpam-3411	213	25	)	)	PUNCT
ejpam-3411	213	26	let	let	VERB
ejpam-3411	213	27	us	we	PRON
ejpam-3411	213	28	calculate	calculate	VERB
ejpam-3411	213	29	the	the	DET
ejpam-3411	213	30	following	following	ADJ
ejpam-3411	213	31	terms	term	NOUN
ejpam-3411	213	32	:	:	PUNCT
ejpam-3411	213	33	y.	y.	PROPN
ejpam-3411	213	34	minoungou	minoungou	PROPN
ejpam-3411	213	35	,	,	PUNCT
ejpam-3411	213	36	m.	m.	NOUN
ejpam-3411	213	37	bagayogo	bagayogo	PROPN
ejpam-3411	213	38	,	,	PUNCT
ejpam-3411	213	39	y.	y.	PROPN
ejpam-3411	213	40	paré	paré	NOUN
ejpam-3411	213	41	/	/	SYM
ejpam-3411	213	42	eur	eur	PROPN
ejpam-3411	213	43	.	.	PUNCT
ejpam-3411	214	1	j.	j.	PROPN
ejpam-3411	214	2	pure	pure	PROPN
ejpam-3411	214	3	appl	appl	PROPN
ejpam-3411	214	4	.	.	PROPN
ejpam-3411	214	5	math	math	PROPN
ejpam-3411	214	6	,	,	PUNCT
ejpam-3411	214	7	12	12	NUM
ejpam-3411	214	8	(	(	PUNCT
ejpam-3411	214	9	2	2	NUM
ejpam-3411	214	10	)	)	PUNCT
ejpam-3411	214	11	(	(	PUNCT
ejpam-3411	214	12	2019	2019	NUM
ejpam-3411	214	13	)	)	PUNCT
ejpam-3411	214	14	,	,	PUNCT
ejpam-3411	214	15	519	519	NUM
ejpam-3411	214	16	-	-	SYM
ejpam-3411	214	17	532	532	NUM
ejpam-3411	214	18	530	530	NUM
ejpam-3411	214	19	uk0	uk0	NOUN
ejpam-3411	214	20	(	(	PUNCT
ejpam-3411	214	21	t	t	PROPN
ejpam-3411	214	22	,	,	PUNCT
ejpam-3411	214	23	x	x	NOUN
ejpam-3411	214	24	)	)	PUNCT
ejpam-3411	214	25	,	,	PUNCT
ejpam-3411	214	26	uk1	uk1	PROPN
ejpam-3411	214	27	(	(	PUNCT
ejpam-3411	214	28	t	t	PROPN
ejpam-3411	214	29	,	,	PUNCT
ejpam-3411	214	30	x	x	NOUN
ejpam-3411	214	31	)	)	PUNCT
ejpam-3411	214	32	,	,	PUNCT
ejpam-3411	214	33	uk2	uk2	PROPN
ejpam-3411	214	34	(	(	PUNCT
ejpam-3411	214	35	t	t	PROPN
ejpam-3411	214	36	,	,	PUNCT
ejpam-3411	214	37	x	x	NOUN
ejpam-3411	214	38	)	)	PUNCT
ejpam-3411	214	39	,	,	PUNCT
ejpam-3411	214	40	uk3	uk3	PROPN
ejpam-3411	214	41	(	(	PUNCT
ejpam-3411	214	42	t	t	PROPN
ejpam-3411	214	43	,	,	PUNCT
ejpam-3411	214	44	x	x	NOUN
ejpam-3411	214	45	)	)	PUNCT
ejpam-3411	214	46	,	,	PUNCT
ejpam-3411	214	47	uk4	uk4	X
ejpam-3411	214	48	(	(	PUNCT
ejpam-3411	214	49	t	t	PROPN
ejpam-3411	214	50	,	,	PUNCT
ejpam-3411	214	51	x	x	NOUN
ejpam-3411	214	52	)	)	PUNCT
ejpam-3411	214	53	,	,	PUNCT
ejpam-3411	214	54	uk5	uk5	PROPN
ejpam-3411	214	55	(	(	PUNCT
ejpam-3411	214	56	t	t	PROPN
ejpam-3411	214	57	,	,	PUNCT
ejpam-3411	214	58	x	x	NOUN
ejpam-3411	214	59	)	)	PUNCT
ejpam-3411	214	60	,	,	PUNCT
ejpam-3411	214	61	...	...	PUNCT
ejpam-3411	214	62			PROPN
ejpam-3411	214	63	uk0	uk0	ADJ
ejpam-3411	214	64	(	(	PUNCT
ejpam-3411	214	65	t	t	PROPN
ejpam-3411	214	66	,	,	PUNCT
ejpam-3411	214	67	x	x	NOUN
ejpam-3411	214	68	)	)	PUNCT
ejpam-3411	214	69	=	=	SYM
ejpam-3411	215	1	cosx	cosx	PROPN
ejpam-3411	215	2	uk1	uk1	PROPN
ejpam-3411	215	3	(	(	PUNCT
ejpam-3411	215	4	t	t	PROPN
ejpam-3411	215	5	,	,	PUNCT
ejpam-3411	215	6	x	x	NOUN
ejpam-3411	215	7	)	)	PUNCT
ejpam-3411	215	8	=	=	VERB
ejpam-3411	215	9	tµ	tµ	AUX
ejpam-3411	215	10	cosx−	cosx−	VERB
ejpam-3411	215	11	tε	tε	PROPN
ejpam-3411	215	12	sinx	sinx	PROPN
ejpam-3411	215	13	uk2	uk2	PROPN
ejpam-3411	215	14	(	(	PUNCT
ejpam-3411	215	15	t	t	PROPN
ejpam-3411	215	16	,	,	PUNCT
ejpam-3411	215	17	x	x	NOUN
ejpam-3411	215	18	)	)	PUNCT
ejpam-3411	215	19	=	=	SYM
ejpam-3411	216	1	(	(	PUNCT
ejpam-3411	216	2	tµ)2	tµ)2	PROPN
ejpam-3411	216	3	2	2	NUM
ejpam-3411	216	4	cosx−	cosx−	NOUN
ejpam-3411	216	5	µεt2	µεt2	NOUN
ejpam-3411	216	6	sinx−	sinx−	PROPN
ejpam-3411	216	7	(	(	PUNCT
ejpam-3411	216	8	tε)2	tε)2	PROPN
ejpam-3411	216	9	2	2	NUM
ejpam-3411	216	10	cosx	cosx	X
ejpam-3411	216	11	uk3	uk3	PROPN
ejpam-3411	216	12	(	(	PUNCT
ejpam-3411	216	13	t	t	PROPN
ejpam-3411	216	14	,	,	PUNCT
ejpam-3411	216	15	x	x	NOUN
ejpam-3411	216	16	)	)	PUNCT
ejpam-3411	216	17	=	=	SYM
ejpam-3411	217	1	(	(	PUNCT
ejpam-3411	217	2	tµ)3	tµ)3	PROPN
ejpam-3411	217	3	6	6	NUM
ejpam-3411	217	4	cosx−	cosx−	PROPN
ejpam-3411	217	5	1	1	NUM
ejpam-3411	217	6	2	2	NUM
ejpam-3411	217	7	t3µ2ε	t3µ2ε	NOUN
ejpam-3411	217	8	sinx−	sinx−	ADV
ejpam-3411	217	9	1	1	NUM
ejpam-3411	217	10	2	2	NUM
ejpam-3411	217	11	t3µε2	t3µε2	NOUN
ejpam-3411	217	12	cosx+	cosx+	NOUN
ejpam-3411	218	1	(	(	PUNCT
ejpam-3411	218	2	tε)3	tε)3	PROPN
ejpam-3411	218	3	6	6	NUM
ejpam-3411	218	4	sinx	sinx	X
ejpam-3411	218	5	uk4	uk4	PROPN
ejpam-3411	218	6	(	(	PUNCT
ejpam-3411	218	7	t	t	PROPN
ejpam-3411	218	8	,	,	PUNCT
ejpam-3411	218	9	x	x	NOUN
ejpam-3411	218	10	)	)	PUNCT
ejpam-3411	218	11	=	=	SYM
ejpam-3411	218	12	(	(	PUNCT
ejpam-3411	218	13	tµ)4	tµ)4	PROPN
ejpam-3411	218	14	24	24	NUM
ejpam-3411	218	15	cosx−	cosx−	PROPN
ejpam-3411	218	16	1	1	NUM
ejpam-3411	218	17	6	6	NUM
ejpam-3411	218	18	t4µ3ε	t4µ3ε	ADV
ejpam-3411	218	19	sinx−	sinx−	ADV
ejpam-3411	218	20	1	1	NUM
ejpam-3411	218	21	4	4	NUM
ejpam-3411	218	22	t4µ2ε2	t4µ2ε2	NOUN
ejpam-3411	218	23	cosx+	cosx+	NOUN
ejpam-3411	218	24	1	1	NUM
ejpam-3411	218	25	6	6	NUM
ejpam-3411	218	26	t4µε3	t4µε3	NOUN
ejpam-3411	218	27	sinx+	sinx+	NOUN
ejpam-3411	218	28	(	(	PUNCT
ejpam-3411	218	29	tε)4	tε)4	PROPN
ejpam-3411	218	30	24	24	NUM
ejpam-3411	218	31	cosx	cosx	PROPN
ejpam-3411	218	32	uk5	uk5	PROPN
ejpam-3411	218	33	(	(	PUNCT
ejpam-3411	218	34	t	t	PROPN
ejpam-3411	218	35	,	,	PUNCT
ejpam-3411	218	36	x	x	NOUN
ejpam-3411	218	37	)	)	PUNCT
ejpam-3411	218	38	=	=	SYM
ejpam-3411	219	1	(	(	PUNCT
ejpam-3411	219	2	tµ)5	tµ)5	PROPN
ejpam-3411	219	3	120	120	NUM
ejpam-3411	219	4	cosx−	cosx−	PROPN
ejpam-3411	219	5	1	1	NUM
ejpam-3411	219	6	24	24	NUM
ejpam-3411	219	7	t5µ4ε	t5µ4ε	NOUN
ejpam-3411	219	8	sinx−	sinx−	ADV
ejpam-3411	219	9	1	1	NUM
ejpam-3411	219	10	12	12	NUM
ejpam-3411	219	11	t5µ3ε2	t5µ3ε2	VERB
ejpam-3411	219	12	(	(	PUNCT
ejpam-3411	219	13	cosx	cosx	PROPN
ejpam-3411	219	14	)	)	PUNCT
ejpam-3411	220	1	+	+	CCONJ
ejpam-3411	221	1	1	1	NUM
ejpam-3411	221	2	12	12	NUM
ejpam-3411	221	3	t5µ2ε3	t5µ2ε3	NOUN
ejpam-3411	221	4	sinx+	sinx+	NOUN
ejpam-3411	221	5	1	1	NUM
ejpam-3411	221	6	24	24	NUM
ejpam-3411	221	7	t5µε4	t5µε4	NOUN
ejpam-3411	221	8	cosx−	cosx−	PROPN
ejpam-3411	221	9	(	(	PUNCT
ejpam-3411	221	10	tε)5	tε)5	PROPN
ejpam-3411	221	11	120	120	NUM
ejpam-3411	221	12	sinx	sinx	NOUN
ejpam-3411	221	13	...	...	PUNCT
ejpam-3411	222	1	step	step	NOUN
ejpam-3411	222	2	by	by	ADP
ejpam-3411	222	3	step	step	NOUN
ejpam-3411	222	4	,	,	PUNCT
ejpam-3411	222	5	we	we	PRON
ejpam-3411	222	6	then	then	ADV
ejpam-3411	222	7	deduct	deduct	PROPN
ejpam-3411	222	8	uk	uk	PROPN
ejpam-3411	222	9	(	(	PUNCT
ejpam-3411	222	10	t	t	PROPN
ejpam-3411	222	11	,	,	PUNCT
ejpam-3411	222	12	x	x	NOUN
ejpam-3411	222	13	)	)	PUNCT
ejpam-3411	222	14	'	'	PUNCT
ejpam-3411	223	1	(	(	PUNCT
ejpam-3411	223	2	1−	1−	NUM
ejpam-3411	223	3	(	(	PUNCT
ejpam-3411	223	4	εt)2	εt)2	PROPN
ejpam-3411	223	5	2	2	NUM
ejpam-3411	223	6	+	+	CCONJ
ejpam-3411	223	7	(	(	PUNCT
ejpam-3411	223	8	εt)4	εt)4	PROPN
ejpam-3411	223	9	4	4	NUM
ejpam-3411	223	10	!	!	PUNCT
ejpam-3411	223	11	−	−	PROPN
ejpam-3411	223	12	...	...	PUNCT
ejpam-3411	223	13	)	)	PUNCT
ejpam-3411	223	14	(	(	PUNCT
ejpam-3411	223	15	1	1	NUM
ejpam-3411	223	16	+	+	NUM
ejpam-3411	223	17	µt+	µt+	NOUN
ejpam-3411	223	18	(	(	PUNCT
ejpam-3411	223	19	µt)2	µt)2	PROPN
ejpam-3411	223	20	2	2	NUM
ejpam-3411	223	21	!	!	PUNCT
ejpam-3411	224	1	+	+	CCONJ
ejpam-3411	224	2	(	(	PUNCT
ejpam-3411	224	3	µt)3	µt)3	PROPN
ejpam-3411	224	4	3	3	NUM
ejpam-3411	224	5	!	!	PUNCT
ejpam-3411	225	1	+	+	CCONJ
ejpam-3411	226	1	...	...	PUNCT
ejpam-3411	226	2	)	)	PUNCT
ejpam-3411	226	3	cosx−	cosx−	PROPN
ejpam-3411	226	4	(	(	PUNCT
ejpam-3411	226	5	εt−	εt−	PROPN
ejpam-3411	226	6	(	(	PUNCT
ejpam-3411	226	7	εt)3	εt)3	NOUN
ejpam-3411	226	8	3	3	NUM
ejpam-3411	226	9	!	!	PUNCT
ejpam-3411	227	1	+	+	CCONJ
ejpam-3411	227	2	(	(	PUNCT
ejpam-3411	227	3	εt)5	εt)5	NOUN
ejpam-3411	227	4	5	5	NUM
ejpam-3411	227	5	!	!	PUNCT
ejpam-3411	227	6	−	−	PROPN
ejpam-3411	227	7	..	..	PUNCT
ejpam-3411	227	8	)	)	PUNCT
ejpam-3411	227	9	(	(	PUNCT
ejpam-3411	227	10	1	1	NUM
ejpam-3411	227	11	+	+	NUM
ejpam-3411	227	12	µt+	µt+	NOUN
ejpam-3411	227	13	(	(	PUNCT
ejpam-3411	227	14	µt)2	µt)2	PROPN
ejpam-3411	227	15	2	2	NUM
ejpam-3411	227	16	!	!	PUNCT
ejpam-3411	228	1	+	+	CCONJ
ejpam-3411	228	2	(	(	PUNCT
ejpam-3411	228	3	µt)3	µt)3	PROPN
ejpam-3411	228	4	3	3	NUM
ejpam-3411	228	5	!	!	PUNCT
ejpam-3411	229	1	+	+	NUM
ejpam-3411	229	2	...	...	PUNCT
ejpam-3411	229	3	)	)	PUNCT
ejpam-3411	229	4	sinx	sinx	NOUN
ejpam-3411	229	5	in	in	ADP
ejpam-3411	229	6	a	a	DET
ejpam-3411	229	7	recurcive	recurcive	ADJ
ejpam-3411	229	8	way	way	NOUN
ejpam-3411	229	9	,	,	PUNCT
ejpam-3411	229	10	we	we	PRON
ejpam-3411	229	11	otain	otain	VERB
ejpam-3411	229	12	:	:	PUNCT
ejpam-3411	229	13	uk	uk	PROPN
ejpam-3411	229	14	(	(	PUNCT
ejpam-3411	229	15	t	t	PROPN
ejpam-3411	229	16	,	,	PUNCT
ejpam-3411	229	17	x	x	NOUN
ejpam-3411	229	18	)	)	PUNCT
ejpam-3411	230	1	=	=	SYM
ejpam-3411	230	2	lim	lim	PROPN
ejpam-3411	230	3	n→+∞	n→+∞	PROPN
ejpam-3411	230	4	n∑	n∑	PROPN
ejpam-3411	230	5	p=0	p=0	PROPN
ejpam-3411	230	6	(	(	PUNCT
ejpam-3411	230	7	−1)p	−1)p	PROPN
ejpam-3411	230	8	(	(	PUNCT
ejpam-3411	230	9	εt)2p	εt)2p	NOUN
ejpam-3411	230	10	(	(	PUNCT
ejpam-3411	230	11	2p	2p	NOUN
ejpam-3411	230	12	)	)	PUNCT
ejpam-3411	230	13	!	!	PUNCT
ejpam-3411	231	1	n∑	n∑	INTJ
ejpam-3411	232	1	p=0	p=0	PROPN
ejpam-3411	232	2	(	(	PUNCT
ejpam-3411	232	3	µt)p	µt)p	PROPN
ejpam-3411	232	4	p	p	NOUN
ejpam-3411	232	5	!	!	PUNCT
ejpam-3411	233	1	cosx+	cosx+	NOUN
ejpam-3411	233	2	n∑	n∑	PROPN
ejpam-3411	233	3	p=0	p=0	PROPN
ejpam-3411	233	4	(	(	PUNCT
ejpam-3411	233	5	−1)p	−1)p	PROPN
ejpam-3411	233	6	(	(	PUNCT
ejpam-3411	233	7	εt)2p+1	εt)2p+1	X
ejpam-3411	233	8	(	(	PUNCT
ejpam-3411	233	9	2p+	2p+	NUM
ejpam-3411	233	10	1	1	NUM
ejpam-3411	233	11	)	)	PUNCT
ejpam-3411	233	12	!	!	PUNCT
ejpam-3411	234	1	n∑	n∑	INTJ
ejpam-3411	235	1	p=0	p=0	PROPN
ejpam-3411	235	2	(	(	PUNCT
ejpam-3411	235	3	µt)p	µt)p	PROPN
ejpam-3411	235	4	p	p	X
ejpam-3411	235	5	!	!	PUNCT
ejpam-3411	236	1	sinx	sinx	NOUN
ejpam-3411	236	2	then	then	ADV
ejpam-3411	236	3	,	,	PUNCT
ejpam-3411	236	4	we	we	PRON
ejpam-3411	236	5	get	get	VERB
ejpam-3411	236	6	:	:	PUNCT
ejpam-3411	236	7	uk	uk	PROPN
ejpam-3411	236	8	(	(	PUNCT
ejpam-3411	236	9	t	t	PROPN
ejpam-3411	236	10	,	,	PUNCT
ejpam-3411	236	11	x	x	NOUN
ejpam-3411	236	12	)	)	PUNCT
ejpam-3411	236	13	=	=	SYM
ejpam-3411	236	14	exp	exp	NOUN
ejpam-3411	236	15	(	(	PUNCT
ejpam-3411	236	16	µt	µt	ADJ
ejpam-3411	236	17	)	)	PUNCT
ejpam-3411	236	18	cos	cos	PROPN
ejpam-3411	236	19	(	(	PUNCT
ejpam-3411	236	20	εt+	εt+	NOUN
ejpam-3411	236	21	x	x	X
ejpam-3411	236	22	)	)	PUNCT
ejpam-3411	236	23	and	and	CCONJ
ejpam-3411	236	24	the	the	DET
ejpam-3411	236	25	exact	exact	ADJ
ejpam-3411	236	26	solution	solution	NOUN
ejpam-3411	236	27	of	of	ADP
ejpam-3411	236	28	(	(	PUNCT
ejpam-3411	236	29	p3	p3	PROPN
ejpam-3411	236	30	)	)	PUNCT
ejpam-3411	236	31	is	be	AUX
ejpam-3411	236	32	u	u	NOUN
ejpam-3411	236	33	(	(	PUNCT
ejpam-3411	236	34	t	t	PROPN
ejpam-3411	236	35	,	,	PUNCT
ejpam-3411	236	36	x	x	NOUN
ejpam-3411	236	37	)	)	PUNCT
ejpam-3411	237	1	=	=	SYM
ejpam-3411	237	2	lim	lim	PROPN
ejpam-3411	237	3	k→+∞	k→+∞	PROPN
ejpam-3411	237	4	uk	uk	PROPN
ejpam-3411	237	5	(	(	PUNCT
ejpam-3411	237	6	t	t	PROPN
ejpam-3411	237	7	,	,	PUNCT
ejpam-3411	237	8	x	x	NOUN
ejpam-3411	237	9	)	)	PUNCT
ejpam-3411	237	10	=	=	SYM
ejpam-3411	237	11	exp	exp	NOUN
ejpam-3411	237	12	(	(	PUNCT
ejpam-3411	237	13	µt	µt	ADJ
ejpam-3411	237	14	)	)	PUNCT
ejpam-3411	237	15	cos	cos	PROPN
ejpam-3411	237	16	(	(	PUNCT
ejpam-3411	237	17	εt+	εt+	NOUN
ejpam-3411	237	18	x	x	X
ejpam-3411	237	19	)	)	PUNCT
ejpam-3411	237	20	proposition	proposition	NOUN
ejpam-3411	237	21	7	7	NUM
ejpam-3411	237	22	.	.	PUNCT
ejpam-3411	238	1	the	the	DET
ejpam-3411	238	2	exact	exact	ADJ
ejpam-3411	238	3	solution	solution	NOUN
ejpam-3411	238	4	of	of	ADP
ejpam-3411	238	5	the	the	DET
ejpam-3411	238	6	following	follow	VERB
ejpam-3411	238	7	diffision	diffision	NOUN
ejpam-3411	238	8	-	-	PUNCT
ejpam-3411	238	9	convection	convection	NOUN
ejpam-3411	238	10	problem	problem	NOUN
ejpam-3411	238	11	cauchy	cauchy	NOUN
ejpam-3411	238	12	type	type	NOUN
ejpam-3411	238	13	(	(	PUNCT
ejpam-3411	238	14	p7	p7	ADJ
ejpam-3411	238	15	)	)	PUNCT
ejpam-3411	238	16			PROPN
ejpam-3411	238	17	∂u	∂u	PROPN
ejpam-3411	238	18	(	(	PUNCT
ejpam-3411	238	19	t	t	PROPN
ejpam-3411	238	20	,	,	PUNCT
ejpam-3411	238	21	x	x	NOUN
ejpam-3411	238	22	)	)	PUNCT
ejpam-3411	238	23	∂t	∂t	PROPN
ejpam-3411	238	24	=	=	SYM
ejpam-3411	238	25	ε	ε	PROPN
ejpam-3411	238	26	∂2u	∂2u	PROPN
ejpam-3411	238	27	(	(	PUNCT
ejpam-3411	238	28	t	t	PROPN
ejpam-3411	238	29	,	,	PUNCT
ejpam-3411	238	30	x	x	NOUN
ejpam-3411	238	31	)	)	PUNCT
ejpam-3411	238	32	∂2x	∂2x	NOUN
ejpam-3411	238	33	+	+	CCONJ
ejpam-3411	238	34	λ	λ	X
ejpam-3411	238	35	∂u	∂u	PROPN
ejpam-3411	238	36	(	(	PUNCT
ejpam-3411	238	37	t	t	PROPN
ejpam-3411	238	38	,	,	PUNCT
ejpam-3411	238	39	x	x	NOUN
ejpam-3411	238	40	)	)	PUNCT
ejpam-3411	238	41	∂x	∂x	PROPN
ejpam-3411	238	42	+	+	CCONJ
ejpam-3411	238	43	γu	γu	PROPN
ejpam-3411	238	44	(	(	PUNCT
ejpam-3411	238	45	t	t	PROPN
ejpam-3411	238	46	,	,	PUNCT
ejpam-3411	238	47	x	x	NOUN
ejpam-3411	238	48	)	)	PUNCT
ejpam-3411	238	49	,	,	PUNCT
ejpam-3411	238	50	ε	ε	PROPN
ejpam-3411	238	51	>	>	X
ejpam-3411	238	52	0	0	PROPN
ejpam-3411	238	53	,	,	PUNCT
ejpam-3411	238	54	λ	λ	X
ejpam-3411	238	55	>	>	X
ejpam-3411	238	56	0	0	PROPN
ejpam-3411	238	57	,	,	PUNCT
ejpam-3411	238	58	γ	γ	X
ejpam-3411	238	59	>	>	X
ejpam-3411	238	60	0	0	NUM
ejpam-3411	238	61	u	u	NOUN
ejpam-3411	238	62	(	(	PUNCT
ejpam-3411	238	63	0	0	NUM
ejpam-3411	238	64	,	,	PUNCT
ejpam-3411	238	65	x	x	NOUN
ejpam-3411	238	66	)	)	PUNCT
ejpam-3411	238	67	=	=	SYM
ejpam-3411	238	68	ϕ	ϕ	X
ejpam-3411	238	69	(	(	PUNCT
ejpam-3411	238	70	αx	αx	X
ejpam-3411	238	71	)	)	PUNCT
ejpam-3411	238	72	(	(	PUNCT
ejpam-3411	238	73	36	36	NUM
ejpam-3411	238	74	)	)	PUNCT
ejpam-3411	238	75	references	reference	NOUN
ejpam-3411	238	76	531	531	NUM
ejpam-3411	238	77	is	be	AUX
ejpam-3411	238	78	u	u	NOUN
ejpam-3411	238	79	(	(	PUNCT
ejpam-3411	238	80	t	t	PROPN
ejpam-3411	238	81	,	,	PUNCT
ejpam-3411	238	82	x	x	NOUN
ejpam-3411	238	83	)	)	PUNCT
ejpam-3411	238	84	=	=	SYM
ejpam-3411	238	85	exp	exp	NOUN
ejpam-3411	238	86	(	(	PUNCT
ejpam-3411	238	87	(	(	PUNCT
ejpam-3411	238	88	γ	γ	NOUN
ejpam-3411	238	89	−	−	PROPN
ejpam-3411	238	90	εα2	εα2	NOUN
ejpam-3411	238	91	)	)	PUNCT
ejpam-3411	238	92	t	t	PROPN
ejpam-3411	238	93	)	)	PUNCT
ejpam-3411	238	94	ϕ	ϕ	PROPN
ejpam-3411	238	95	(	(	PUNCT
ejpam-3411	238	96	α	α	X
ejpam-3411	238	97	(	(	PUNCT
ejpam-3411	238	98	x+	x+	ADJ
ejpam-3411	238	99	λt	λt	NOUN
ejpam-3411	238	100	)	)	PUNCT
ejpam-3411	238	101	)	)	PUNCT
ejpam-3411	238	102	(	(	PUNCT
ejpam-3411	238	103	37	37	NUM
ejpam-3411	238	104	)	)	PUNCT
ejpam-3411	239	1	where	where	SCONJ
ejpam-3411	239	2	(	(	PUNCT
ejpam-3411	239	3	t	t	PROPN
ejpam-3411	239	4	,	,	PUNCT
ejpam-3411	239	5	x	x	NOUN
ejpam-3411	239	6	)	)	PUNCT
ejpam-3411	239	7	∈	∈	PROPN
ejpam-3411	239	8	ω	ω	NOUN
ejpam-3411	239	9	=	=	PUNCT
ejpam-3411	240	1	[	[	X
ejpam-3411	240	2	0,+∞[×	0,+∞[×	NOUN
ejpam-3411	240	3	r	r	NOUN
ejpam-3411	240	4	,	,	PUNCT
ejpam-3411	240	5	u	u	PROPN
ejpam-3411	240	6	∈	∈	PROPN
ejpam-3411	240	7	c2	c2	PROPN
ejpam-3411	240	8	(	(	PUNCT
ejpam-3411	240	9	ω	ω	PROPN
ejpam-3411	240	10	)	)	PUNCT
ejpam-3411	240	11	,	,	PUNCT
ejpam-3411	240	12	ϕ	ϕ	PROPN
ejpam-3411	240	13	∈	∈	PROPN
ejpam-3411	240	14	c2	c2	PROPN
ejpam-3411	240	15	(	(	PUNCT
ejpam-3411	240	16	r	r	NOUN
ejpam-3411	240	17	)	)	PUNCT
ejpam-3411	240	18	and	and	CCONJ
ejpam-3411	240	19	ϕ	ϕ	PROPN
ejpam-3411	240	20	verifie	verifie	VERB
ejpam-3411	240	21	the	the	DET
ejpam-3411	240	22	relation	relation	NOUN
ejpam-3411	240	23	:	:	PUNCT
ejpam-3411	240	24	ϕ	ϕ	X
ejpam-3411	240	25	(	(	PUNCT
ejpam-3411	240	26	x	x	X
ejpam-3411	240	27	)	)	PUNCT
ejpam-3411	240	28	=	=	PUNCT
ejpam-3411	240	29	a	a	DET
ejpam-3411	240	30	cosx+b	cosx+b	PROPN
ejpam-3411	240	31	sinx	sinx	PROPN
ejpam-3411	240	32	,	,	PUNCT
ejpam-3411	240	33	a	a	PRON
ejpam-3411	240	34	,	,	PUNCT
ejpam-3411	240	35	b	b	X
ejpam-3411	240	36	∈	∈	PROPN
ejpam-3411	240	37	r	r	NOUN
ejpam-3411	240	38	(	(	PUNCT
ejpam-3411	240	39	38	38	NUM
ejpam-3411	240	40	)	)	PUNCT
ejpam-3411	240	41	proof	proof	NOUN
ejpam-3411	240	42	.	.	PUNCT
ejpam-3411	241	1	let	let	VERB
ejpam-3411	241	2	us	we	PRON
ejpam-3411	241	3	consider	consider	VERB
ejpam-3411	241	4	u	u	PROPN
ejpam-3411	241	5	(	(	PUNCT
ejpam-3411	241	6	t	t	PROPN
ejpam-3411	241	7	,	,	PUNCT
ejpam-3411	241	8	x	x	NOUN
ejpam-3411	241	9	)	)	PUNCT
ejpam-3411	241	10	=	=	SYM
ejpam-3411	241	11	exp	exp	NOUN
ejpam-3411	241	12	(	(	PUNCT
ejpam-3411	241	13	(	(	PUNCT
ejpam-3411	241	14	γ	γ	NOUN
ejpam-3411	241	15	−	−	PROPN
ejpam-3411	241	16	εα2	εα2	NOUN
ejpam-3411	241	17	)	)	PUNCT
ejpam-3411	241	18	t	t	PROPN
ejpam-3411	241	19	)	)	PUNCT
ejpam-3411	241	20	ϕ	ϕ	PROPN
ejpam-3411	241	21	(	(	PUNCT
ejpam-3411	241	22	α	α	X
ejpam-3411	241	23	(	(	PUNCT
ejpam-3411	241	24	x+	x+	ADJ
ejpam-3411	241	25	λt	λt	NOUN
ejpam-3411	241	26	)	)	PUNCT
ejpam-3411	241	27	)	)	PUNCT
ejpam-3411	242	1	we	we	PRON
ejpam-3411	242	2	get	get	VERB
ejpam-3411	242	3	:	:	PUNCT
ejpam-3411	242	4	∂	∂	NUM
ejpam-3411	242	5	exp	exp	NOUN
ejpam-3411	242	6	(	(	PUNCT
ejpam-3411	242	7	(	(	PUNCT
ejpam-3411	242	8	γ	γ	NOUN
ejpam-3411	242	9	−	−	PROPN
ejpam-3411	242	10	εα2	εα2	NOUN
ejpam-3411	242	11	)	)	PUNCT
ejpam-3411	242	12	t	t	PROPN
ejpam-3411	242	13	)	)	PUNCT
ejpam-3411	242	14	ϕ	ϕ	PROPN
ejpam-3411	242	15	(	(	PUNCT
ejpam-3411	242	16	α	α	X
ejpam-3411	242	17	(	(	PUNCT
ejpam-3411	242	18	x+	x+	ADJ
ejpam-3411	242	19	λt	λt	NOUN
ejpam-3411	242	20	)	)	PUNCT
ejpam-3411	242	21	)	)	PUNCT
ejpam-3411	243	1	∂t	∂t	PROPN
ejpam-3411	243	2	−	−	PROPN
ejpam-3411	243	3	ε	ε	PROPN
ejpam-3411	243	4	∂2	∂2	PROPN
ejpam-3411	243	5	exp	exp	NOUN
ejpam-3411	243	6	(	(	PUNCT
ejpam-3411	243	7	(	(	PUNCT
ejpam-3411	243	8	γ	γ	NOUN
ejpam-3411	243	9	−	−	PROPN
ejpam-3411	243	10	εα2	εα2	NOUN
ejpam-3411	243	11	)	)	PUNCT
ejpam-3411	243	12	t	t	PROPN
ejpam-3411	243	13	)	)	PUNCT
ejpam-3411	243	14	ϕ	ϕ	PROPN
ejpam-3411	243	15	(	(	PUNCT
ejpam-3411	243	16	α	α	X
ejpam-3411	243	17	(	(	PUNCT
ejpam-3411	243	18	x+	x+	ADJ
ejpam-3411	243	19	λt	λt	NOUN
ejpam-3411	243	20	)	)	PUNCT
ejpam-3411	243	21	)	)	PUNCT
ejpam-3411	243	22	∂2x	∂2x	NOUN
ejpam-3411	243	23	−	−	PROPN
ejpam-3411	243	24	λ	λ	PROPN
ejpam-3411	243	25	∂	∂	NUM
ejpam-3411	243	26	exp	exp	NOUN
ejpam-3411	243	27	(	(	PUNCT
ejpam-3411	243	28	(	(	PUNCT
ejpam-3411	243	29	γ	γ	NOUN
ejpam-3411	243	30	−	−	PROPN
ejpam-3411	243	31	εα2	εα2	NOUN
ejpam-3411	243	32	)	)	PUNCT
ejpam-3411	243	33	t	t	PROPN
ejpam-3411	243	34	)	)	PUNCT
ejpam-3411	243	35	ϕ	ϕ	PROPN
ejpam-3411	243	36	(	(	PUNCT
ejpam-3411	243	37	α	α	X
ejpam-3411	243	38	(	(	PUNCT
ejpam-3411	243	39	x+	x+	ADJ
ejpam-3411	243	40	λt	λt	NOUN
ejpam-3411	243	41	)	)	PUNCT
ejpam-3411	243	42	)	)	PUNCT
ejpam-3411	244	1	∂x	∂x	NOUN
ejpam-3411	244	2	−	−	NUM
ejpam-3411	244	3	γ	γ	X
ejpam-3411	244	4	exp	exp	X
ejpam-3411	244	5	(	(	PUNCT
ejpam-3411	244	6	(	(	PUNCT
ejpam-3411	244	7	γ	γ	NOUN
ejpam-3411	244	8	−	−	PROPN
ejpam-3411	244	9	εα2	εα2	NOUN
ejpam-3411	244	10	)	)	PUNCT
ejpam-3411	244	11	t	t	PROPN
ejpam-3411	244	12	)	)	PUNCT
ejpam-3411	244	13	ϕ	ϕ	PROPN
ejpam-3411	244	14	(	(	PUNCT
ejpam-3411	244	15	α	α	X
ejpam-3411	244	16	(	(	PUNCT
ejpam-3411	244	17	x+	x+	ADJ
ejpam-3411	244	18	λt	λt	NOUN
ejpam-3411	244	19	)	)	PUNCT
ejpam-3411	244	20	)	)	PUNCT
ejpam-3411	245	1	=	=	SYM
ejpam-3411	245	2	exp	exp	NOUN
ejpam-3411	245	3	(	(	PUNCT
ejpam-3411	245	4	(	(	PUNCT
ejpam-3411	245	5	γ	γ	NOUN
ejpam-3411	245	6	−	−	PROPN
ejpam-3411	245	7	εα2	εα2	NOUN
ejpam-3411	245	8	)	)	PUNCT
ejpam-3411	245	9	t	t	NOUN
ejpam-3411	245	10	)	)	PUNCT
ejpam-3411	246	1	[	[	X
ejpam-3411	246	2	(	(	PUNCT
ejpam-3411	246	3	γ	γ	X
ejpam-3411	246	4	−	−	PROPN
ejpam-3411	246	5	εα2	εα2	NOUN
ejpam-3411	246	6	)	)	PUNCT
ejpam-3411	246	7	ϕ	ϕ	NOUN
ejpam-3411	246	8	(	(	PUNCT
ejpam-3411	246	9	α	α	X
ejpam-3411	246	10	(	(	PUNCT
ejpam-3411	246	11	x+	x+	ADJ
ejpam-3411	246	12	λt	λt	NOUN
ejpam-3411	246	13	)	)	PUNCT
ejpam-3411	246	14	)	)	PUNCT
ejpam-3411	247	1	+	+	CCONJ
ejpam-3411	247	2	αλϕ′	αλϕ′	NUM
ejpam-3411	247	3	(	(	PUNCT
ejpam-3411	247	4	α	α	NOUN
ejpam-3411	247	5	(	(	PUNCT
ejpam-3411	247	6	x+	x+	ADJ
ejpam-3411	247	7	λt	λt	ADP
ejpam-3411	247	8	)	)	PUNCT
ejpam-3411	247	9	)	)	PUNCT
ejpam-3411	247	10	]	]	PUNCT
ejpam-3411	248	1	+	+	CCONJ
ejpam-3411	248	2	exp	exp	NOUN
ejpam-3411	248	3	(	(	PUNCT
ejpam-3411	248	4	(	(	PUNCT
ejpam-3411	248	5	γ	γ	NOUN
ejpam-3411	248	6	−	−	PROPN
ejpam-3411	248	7	εα2	εα2	NOUN
ejpam-3411	248	8	)	)	PUNCT
ejpam-3411	248	9	t	t	NOUN
ejpam-3411	248	10	)	)	PUNCT
ejpam-3411	248	11	[	[	PUNCT
ejpam-3411	248	12	εα2ϕ′′	εα2ϕ′′	X
ejpam-3411	248	13	(	(	PUNCT
ejpam-3411	248	14	α	α	PROPN
ejpam-3411	248	15	(	(	PUNCT
ejpam-3411	248	16	x+	x+	PROPN
ejpam-3411	248	17	λt))−	λt))−	PROPN
ejpam-3411	248	18	λαϕ′	λαϕ′	NOUN
ejpam-3411	248	19	(	(	PUNCT
ejpam-3411	248	20	α	α	X
ejpam-3411	248	21	(	(	PUNCT
ejpam-3411	248	22	x+	x+	ADJ
ejpam-3411	248	23	λt))−	λt))−	NOUN
ejpam-3411	248	24	γϕ	γϕ	ADP
ejpam-3411	248	25	(	(	PUNCT
ejpam-3411	248	26	α	α	X
ejpam-3411	248	27	(	(	PUNCT
ejpam-3411	248	28	x+	x+	ADJ
ejpam-3411	248	29	λt	λt	ADP
ejpam-3411	248	30	)	)	PUNCT
ejpam-3411	248	31	)	)	PUNCT
ejpam-3411	248	32	]	]	PUNCT
ejpam-3411	249	1	=	=	SYM
ejpam-3411	249	2	0	0	NUM
ejpam-3411	249	3	⇒	⇒	NOUN
ejpam-3411	249	4	εα2	εα2	NOUN
ejpam-3411	249	5	(	(	PUNCT
ejpam-3411	249	6	ϕ′′	ϕ′′	X
ejpam-3411	249	7	(	(	PUNCT
ejpam-3411	249	8	α	α	X
ejpam-3411	249	9	(	(	PUNCT
ejpam-3411	249	10	x+	x+	ADJ
ejpam-3411	249	11	λt	λt	ADP
ejpam-3411	249	12	)	)	PUNCT
ejpam-3411	249	13	)	)	PUNCT
ejpam-3411	250	1	+	+	CCONJ
ejpam-3411	250	2	ϕ	ϕ	X
ejpam-3411	250	3	(	(	PUNCT
ejpam-3411	250	4	α	α	X
ejpam-3411	250	5	(	(	PUNCT
ejpam-3411	250	6	x+	x+	ADJ
ejpam-3411	250	7	λt	λt	NOUN
ejpam-3411	250	8	)	)	PUNCT
ejpam-3411	250	9	)	)	PUNCT
ejpam-3411	250	10	)	)	PUNCT
ejpam-3411	250	11	∗	∗	NOUN
ejpam-3411	250	12	0	0	NUM
ejpam-3411	251	1	⇒	⇒	PROPN
ejpam-3411	251	2	ϕ′′	ϕ′′	PROPN
ejpam-3411	252	1	(	(	PUNCT
ejpam-3411	252	2	α	α	X
ejpam-3411	252	3	(	(	PUNCT
ejpam-3411	252	4	x+	x+	ADJ
ejpam-3411	252	5	λt	λt	ADP
ejpam-3411	252	6	)	)	PUNCT
ejpam-3411	252	7	)	)	PUNCT
ejpam-3411	253	1	+	+	CCONJ
ejpam-3411	253	2	ϕ	ϕ	X
ejpam-3411	253	3	(	(	PUNCT
ejpam-3411	253	4	α	α	X
ejpam-3411	253	5	(	(	PUNCT
ejpam-3411	253	6	x+	x+	ADJ
ejpam-3411	253	7	λt	λt	NOUN
ejpam-3411	253	8	)	)	PUNCT
ejpam-3411	253	9	)	)	PUNCT
ejpam-3411	254	1	=	=	SYM
ejpam-3411	254	2	0	0	NUM
ejpam-3411	254	3	or	or	CCONJ
ejpam-3411	254	4	ϕ′′	ϕ′′	PRON
ejpam-3411	254	5	(	(	PUNCT
ejpam-3411	254	6	x	x	X
ejpam-3411	254	7	)	)	PUNCT
ejpam-3411	255	1	+	+	CCONJ
ejpam-3411	255	2	ϕ	ϕ	X
ejpam-3411	255	3	(	(	PUNCT
ejpam-3411	255	4	x	x	NOUN
ejpam-3411	255	5	)	)	PUNCT
ejpam-3411	255	6	=	=	SYM
ejpam-3411	255	7	0	0	NUM
ejpam-3411	255	8	⇒	⇒	PROPN
ejpam-3411	255	9	ϕ	ϕ	X
ejpam-3411	255	10	(	(	PUNCT
ejpam-3411	255	11	x	x	X
ejpam-3411	255	12	)	)	PUNCT
ejpam-3411	255	13	=	=	PUNCT
ejpam-3411	255	14	a	a	DET
ejpam-3411	255	15	cosx+b	cosx+b	NOUN
ejpam-3411	255	16	sinx;a	sinx;a	PROPN
ejpam-3411	255	17	,	,	PUNCT
ejpam-3411	255	18	b	b	X
ejpam-3411	255	19	∈	∈	PROPN
ejpam-3411	255	20	r	r	NOUN
ejpam-3411	255	21	and	and	CCONJ
ejpam-3411	255	22	u	u	NOUN
ejpam-3411	255	23	(	(	PUNCT
ejpam-3411	255	24	0	0	NUM
ejpam-3411	255	25	,	,	PUNCT
ejpam-3411	255	26	x	x	NOUN
ejpam-3411	255	27	)	)	PUNCT
ejpam-3411	255	28	=	=	SYM
ejpam-3411	256	1	ϕ	ϕ	X
ejpam-3411	256	2	(	(	PUNCT
ejpam-3411	256	3	αx	αx	X
ejpam-3411	256	4	)	)	PUNCT
ejpam-3411	256	5	.	.	PUNCT
ejpam-3411	257	1	3	3	X
ejpam-3411	257	2	.	.	X
ejpam-3411	257	3	conclusion	conclusion	NOUN
ejpam-3411	257	4	the	the	DET
ejpam-3411	257	5	sba	sba	PROPN
ejpam-3411	257	6	numerical	numerical	PROPN
ejpam-3411	257	7	method	method	PROPN
ejpam-3411	257	8	permitted	permit	VERB
ejpam-3411	257	9	us	we	PRON
ejpam-3411	257	10	to	to	PART
ejpam-3411	257	11	resolve	resolve	VERB
ejpam-3411	257	12	a	a	DET
ejpam-3411	257	13	few	few	ADJ
ejpam-3411	257	14	linear	linear	ADJ
ejpam-3411	257	15	partial	partial	ADJ
ejpam-3411	257	16	differential	differential	NOUN
ejpam-3411	257	17	equations	equation	NOUN
ejpam-3411	257	18	modelling	model	VERB
ejpam-3411	257	19	diffusion	diffusion	NOUN
ejpam-3411	257	20	,	,	PUNCT
ejpam-3411	257	21	convection	convection	NOUN
ejpam-3411	257	22	,	,	PUNCT
ejpam-3411	257	23	reaction	reaction	NOUN
ejpam-3411	257	24	problems	problem	NOUN
ejpam-3411	257	25	cauchy	cauchy	PROPN
ejpam-3411	257	26	type	type	NOUN
ejpam-3411	257	27	.	.	PUNCT
ejpam-3411	258	1	the	the	DET
ejpam-3411	258	2	sba	sba	PROPN
ejpam-3411	258	3	method	method	PROPN
ejpam-3411	258	4	pemitted	pemitte	VERB
ejpam-3411	258	5	us	we	PRON
ejpam-3411	258	6	to	to	PART
ejpam-3411	258	7	resolve	resolve	VERB
ejpam-3411	258	8	the	the	DET
ejpam-3411	258	9	problems	problem	NOUN
ejpam-3411	258	10	proposed	propose	VERB
ejpam-3411	258	11	in	in	ADP
ejpam-3411	258	12	this	this	DET
ejpam-3411	258	13	paper	paper	NOUN
ejpam-3411	258	14	.	.	PUNCT
ejpam-3411	259	1	it	it	PRON
ejpam-3411	259	2	is	be	AUX
ejpam-3411	259	3	then	then	ADV
ejpam-3411	259	4	a	a	DET
ejpam-3411	259	5	very	very	ADV
ejpam-3411	259	6	powerful	powerful	ADJ
ejpam-3411	259	7	numerical	numerical	ADJ
ejpam-3411	259	8	tool	tool	NOUN
ejpam-3411	259	9	of	of	ADP
ejpam-3411	259	10	analysis	analysis	NOUN
ejpam-3411	259	11	for	for	ADP
ejpam-3411	259	12	the	the	DET
ejpam-3411	259	13	resolution	resolution	NOUN
ejpam-3411	259	14	of	of	ADP
ejpam-3411	259	15	these	these	DET
ejpam-3411	259	16	kinds	kind	NOUN
ejpam-3411	259	17	of	of	ADP
ejpam-3411	259	18	problems	problem	NOUN
ejpam-3411	259	19	.	.	PUNCT
ejpam-3411	260	1	references	reference	NOUN
ejpam-3411	260	2	[	[	X
ejpam-3411	260	3	1	1	NUM
ejpam-3411	260	4	]	]	PUNCT
ejpam-3411	260	5	k.	k.	PROPN
ejpam-3411	260	6	abbaoui	abbaoui	PROPN
ejpam-3411	260	7	and	and	CCONJ
ejpam-3411	260	8	yves	yve	NOUN
ejpam-3411	260	9	cherruault	cherruault	NOUN
ejpam-3411	260	10	.	.	PUNCT
ejpam-3411	261	1	the	the	DET
ejpam-3411	261	2	decomposition	decomposition	NOUN
ejpam-3411	261	3	method	method	NOUN
ejpam-3411	261	4	applied	apply	VERB
ejpam-3411	261	5	to	to	ADP
ejpam-3411	261	6	the	the	DET
ejpam-3411	261	7	cauchy	cauchy	PROPN
ejpam-3411	261	8	problem	problem	NOUN
ejpam-3411	261	9	.	.	PUNCT
ejpam-3411	262	1	kybernetes	kybernete	NOUN
ejpam-3411	262	2	,	,	PUNCT
ejpam-3411	262	3	28(1):68–74	28(1):68–74	NUM
ejpam-3411	262	4	,	,	PUNCT
ejpam-3411	262	5	1999	1999	NUM
ejpam-3411	262	6	.	.	PUNCT
ejpam-3411	263	1	[	[	X
ejpam-3411	263	2	2	2	NUM
ejpam-3411	263	3	]	]	PUNCT
ejpam-3411	263	4	bonazebi.j.yendoula	bonazebi.j.yendoula	PROPN
ejpam-3411	263	5	pare	pare	NOUN
ejpam-3411	263	6	youssouf	youssouf	PROPN
ejpam-3411	263	7	bissanga.g	bissanga.g	PROPN
ejpam-3411	264	1	bassono.f	bassono.f	PROPN
ejpam-3411	264	2	and	and	CCONJ
ejpam-3411	264	3	some	some	PRON
ejpam-3411	264	4	.	.	PUNCT
ejpam-3411	265	1	b.	b.	PROPN
ejpam-3411	265	2	application	application	NOUN
ejpam-3411	265	3	of	of	ADP
ejpam-3411	265	4	the	the	DET
ejpam-3411	265	5	adomian	adomian	NOUN
ejpam-3411	265	6	decomposition	decomposition	NOUN
ejpam-3411	265	7	method	method	NOUN
ejpam-3411	265	8	(	(	PUNCT
ejpam-3411	265	9	adm	adm	PROPN
ejpam-3411	265	10	)	)	PUNCT
ejpam-3411	265	11	and	and	CCONJ
ejpam-3411	265	12	the	the	DET
ejpam-3411	265	13	some	some	DET
ejpam-3411	265	14	blaise	blaise	PROPN
ejpam-3411	265	15	abbo(sba	abbo(sba	PROPN
ejpam-3411	265	16	)	)	PUNCT
ejpam-3411	265	17	method	method	NOUN
ejpam-3411	265	18	to	to	ADP
ejpam-3411	265	19	solving	solve	VERB
ejpam-3411	265	20	the	the	DET
ejpam-3411	265	21	diffusion	diffusion	NOUN
ejpam-3411	265	22	-	-	PUNCT
ejpam-3411	265	23	reaction	reaction	NOUN
ejpam-3411	265	24	equations	equation	NOUN
ejpam-3411	265	25	.	.	PUNCT
ejpam-3411	266	1	advances	advance	NOUN
ejpam-3411	266	2	in	in	ADP
ejpam-3411	266	3	theoritical	theoritical	ADJ
ejpam-3411	266	4	and	and	CCONJ
ejpam-3411	266	5	applied	applied	ADJ
ejpam-3411	266	6	mathematics	mathematic	NOUN
ejpam-3411	266	7	,	,	PUNCT
ejpam-3411	266	8	9(2):97–104	9(2):97–104	NOUN
ejpam-3411	266	9	,	,	PUNCT
ejpam-3411	266	10	2014	2014	NUM
ejpam-3411	266	11	.	.	PUNCT
ejpam-3411	267	1	[	[	X
ejpam-3411	267	2	3	3	NUM
ejpam-3411	267	3	]	]	X
ejpam-3411	267	4	bakari	bakari	PROPN
ejpam-3411	267	5	abbo	abbo	PROPN
ejpam-3411	267	6	n.	n.	PROPN
ejpam-3411	267	7	ngarasta	ngarasta	PROPN
ejpam-3411	267	8	b.mampassi	b.mampassi	ADJ
ejpam-3411	267	9	b.some	b.some	VERB
ejpam-3411	267	10	and	and	CCONJ
ejpam-3411	267	11	longin	longin	VERB
ejpam-3411	267	12	some	some	PRON
ejpam-3411	267	13	.	.	PUNCT
ejpam-3411	268	1	a	a	DET
ejpam-3411	268	2	new	new	ADJ
ejpam-3411	268	3	approach	approach	NOUN
ejpam-3411	268	4	of	of	ADP
ejpam-3411	268	5	the	the	DET
ejpam-3411	268	6	adomian	adomian	NOUN
ejpam-3411	268	7	algoritm	algoritm	NOUN
ejpam-3411	268	8	for	for	ADP
ejpam-3411	268	9	solving	solve	VERB
ejpam-3411	268	10	nonlinear	nonlinear	ADJ
ejpam-3411	268	11	ordinary	ordinary	ADJ
ejpam-3411	268	12	or	or	CCONJ
ejpam-3411	268	13	partial	partial	ADJ
ejpam-3411	268	14	differential	differential	ADJ
ejpam-3411	268	15	equations	equation	NOUN
ejpam-3411	268	16	.	.	PUNCT
ejpam-3411	269	1	far	far	ADV
ejpam-3411	269	2	east.j	east.j	PROPN
ejpam-3411	269	3	.	.	PUNCT
ejpam-3411	270	1	math	math	NOUN
ejpam-3411	270	2	.	.	PUNCT
ejpam-3411	270	3	,	,	PUNCT
ejpam-3411	270	4	23(3):299–312	23(3):299–312	NUM
ejpam-3411	270	5	,	,	PUNCT
ejpam-3411	270	6	2006	2006	NUM
ejpam-3411	270	7	.	.	PUNCT
ejpam-3411	271	1	[	[	X
ejpam-3411	271	2	4	4	NUM
ejpam-3411	271	3	]	]	PUNCT
ejpam-3411	271	4	pare	pare	PROPN
ejpam-3411	271	5	youssouf	youssouf	PROPN
ejpam-3411	271	6	yaro	yaro	PROPN
ejpam-3411	271	7	rasmane	rasmane	PROPN
ejpam-3411	271	8	elysée	elysée	PROPN
ejpam-3411	271	9	gouba	gouba	PROPN
ejpam-3411	271	10	and	and	CCONJ
ejpam-3411	271	11	some	some	DET
ejpam-3411	271	12	blaise	blaise	NOUN
ejpam-3411	271	13	.	.	PUNCT
ejpam-3411	272	1	solving	solve	VERB
ejpam-3411	272	2	a	a	DET
ejpam-3411	272	3	system	system	NOUN
ejpam-3411	272	4	of	of	ADP
ejpam-3411	272	5	nonlinear	nonlinear	ADJ
ejpam-3411	272	6	equations	equation	NOUN
ejpam-3411	272	7	second	second	ADJ
ejpam-3411	272	8	kind	kind	NOUN
ejpam-3411	272	9	of	of	ADP
ejpam-3411	272	10	volterra	volterra	NOUN
ejpam-3411	272	11	by	by	ADP
ejpam-3411	272	12	the	the	DET
ejpam-3411	272	13	sba	sba	PROPN
ejpam-3411	272	14	method	method	NOUN
ejpam-3411	272	15	.	.	PUNCT
ejpam-3411	273	1	far	far	ADV
ejpam-3411	273	2	east.j.appl.math	east.j.appl.math	NUM
ejpam-3411	273	3	,	,	PUNCT
ejpam-3411	273	4	71(1):43–84	71(1):43–84	NUM
ejpam-3411	273	5	,	,	PUNCT
ejpam-3411	273	6	2012	2012	NUM
ejpam-3411	273	7	.	.	PUNCT
ejpam-3411	274	1	references	reference	NOUN
ejpam-3411	274	2	532	532	NUM
ejpam-3411	274	3	[	[	X
ejpam-3411	274	4	5	5	NUM
ejpam-3411	274	5	]	]	PUNCT
ejpam-3411	274	6	k.abbaoui	k.abbaoui	NOUN
ejpam-3411	274	7	and	and	CCONJ
ejpam-3411	274	8	yves	yve	NOUN
ejpam-3411	274	9	cherruault	cherruault	NOUN
ejpam-3411	274	10	.	.	PUNCT
ejpam-3411	275	1	convergence	convergence	NOUN
ejpam-3411	275	2	of	of	ADP
ejpam-3411	275	3	the	the	DET
ejpam-3411	275	4	adomian	adomian	NOUN
ejpam-3411	275	5	method	method	NOUN
ejpam-3411	275	6	applied	apply	VERB
ejpam-3411	275	7	to	to	ADP
ejpam-3411	275	8	the	the	DET
ejpam-3411	275	9	nonlinear	nonlinear	ADJ
ejpam-3411	275	10	equations	equation	NOUN
ejpam-3411	275	11	.	.	PUNCT
ejpam-3411	276	1	math	math	NOUN
ejpam-3411	276	2	.	.	PUNCT
ejpam-3411	277	1	comput	comput	NOUN
ejpam-3411	277	2	.	.	PUNCT
ejpam-3411	278	1	modelling	modelling	NOUN
ejpam-3411	278	2	,	,	PUNCT
ejpam-3411	278	3	20(9):60–73	20(9):60–73	NUM
ejpam-3411	278	4	,	,	PUNCT
ejpam-3411	278	5	1994	1994	NUM
ejpam-3411	278	6	.	.	PUNCT
ejpam-3411	279	1	[	[	X
ejpam-3411	279	2	6	6	NUM
ejpam-3411	279	3	]	]	PUNCT
ejpam-3411	279	4	k.	k.	PROPN
ejpam-3411	279	5	abbaoui	abbaoui	PROPN
ejpam-3411	279	6	n.ngarasta	n.ngarasta	ADV
ejpam-3411	279	7	,	,	PUNCT
ejpam-3411	279	8	b.some	b.some	NOUN
ejpam-3411	279	9	and	and	CCONJ
ejpam-3411	279	10	yves	yve	NOUN
ejpam-3411	279	11	cherruault	cherruault	NOUN
ejpam-3411	279	12	.	.	PUNCT
ejpam-3411	280	1	new	new	ADJ
ejpam-3411	280	2	numerical	numerical	PROPN
ejpam-3411	280	3	study	study	PROPN
ejpam-3411	280	4	of	of	ADP
ejpam-3411	280	5	adomian	adomian	PROPN
ejpam-3411	280	6	method	method	NOUN
ejpam-3411	280	7	applied	apply	VERB
ejpam-3411	280	8	to	to	ADP
ejpam-3411	280	9	a	a	DET
ejpam-3411	280	10	diffusion	diffusion	NOUN
ejpam-3411	280	11	model	model	NOUN
ejpam-3411	280	12	.	.	PUNCT
ejpam-3411	281	1	kybernetes	kybernete	NOUN
ejpam-3411	281	2	,	,	PUNCT
ejpam-3411	281	3	31(1):61–75	31(1):61–75	NUM
ejpam-3411	281	4	,	,	PUNCT
ejpam-3411	281	5	2002	2002	NUM
ejpam-3411	281	6	.	.	PUNCT
ejpam-3411	282	1	[	[	X
ejpam-3411	282	2	7	7	NUM
ejpam-3411	282	3	]	]	PUNCT
ejpam-3411	282	4	wazwaz.a.m	wazwaz.a.m	PROPN
ejpam-3411	282	5	.	.	PUNCT
ejpam-3411	283	1	partial	partial	ADJ
ejpam-3411	283	2	differential	differential	ADJ
ejpam-3411	283	3	equations	equation	NOUN
ejpam-3411	283	4	and	and	CCONJ
ejpam-3411	283	5	applications	application	NOUN
ejpam-3411	283	6	.	.	PUNCT
ejpam-3411	284	1	netherland	netherland	PROPN
ejpam-3411	284	2	balkema	balkema	PROPN
ejpam-3411	284	3	publisher	publisher	NOUN
ejpam-3411	284	4	,	,	PUNCT
ejpam-3411	284	5	2002	2002	NUM
ejpam-3411	284	6	.	.	PUNCT
ejpam-3411	285	1	[	[	X
ejpam-3411	285	2	8	8	NUM
ejpam-3411	285	3	]	]	PUNCT
ejpam-3411	285	4	m.bagayogo	m.bagayogo	NOUN
ejpam-3411	285	5	y.pare	y.pare	NOUN
ejpam-3411	285	6	and	and	CCONJ
ejpam-3411	285	7	y.	y.	PROPN
ejpam-3411	285	8	minoungou	minoungou	PROPN
ejpam-3411	285	9	.	.	PUNCT
ejpam-3411	286	1	an	an	DET
ejpam-3411	286	2	approached	approach	VERB
ejpam-3411	286	3	solution	solution	NOUN
ejpam-3411	286	4	of	of	ADP
ejpam-3411	286	5	wave	wave	NOUN
ejpam-3411	286	6	equation	equation	NOUN
ejpam-3411	286	7	cubic	cubic	ADV
ejpam-3411	286	8	damping	damp	VERB
ejpam-3411	286	9	by	by	ADP
ejpam-3411	286	10	homotopy	homotopy	NOUN
ejpam-3411	286	11	perturbation	perturbation	NOUN
ejpam-3411	286	12	method	method	NOUN
ejpam-3411	286	13	(	(	PUNCT
ejpam-3411	286	14	hpm	hpm	NOUN
ejpam-3411	286	15	)	)	PUNCT
ejpam-3411	286	16	,	,	PUNCT
ejpam-3411	286	17	regular	regular	ADJ
ejpam-3411	286	18	perturbation	perturbation	NOUN
ejpam-3411	286	19	method(rpm	method(rpm	ADV
ejpam-3411	286	20	)	)	PUNCT
ejpam-3411	286	21	and	and	CCONJ
ejpam-3411	286	22	adomian	adomian	NOUN
ejpam-3411	286	23	decomposition	decomposition	NOUN
ejpam-3411	286	24	method	method	NOUN
ejpam-3411	286	25	(	(	PUNCT
ejpam-3411	286	26	adm	adm	PROPN
ejpam-3411	286	27	)	)	PUNCT
ejpam-3411	286	28	.	.	PUNCT
ejpam-3411	287	1	j.math.res	j.math.re	NOUN
ejpam-3411	287	2	.	.	PUNCT
ejpam-3411	287	3	,	,	PUNCT
ejpam-3411	287	4	31(2):166–181	31(2):166–181	PROPN
ejpam-3411	287	5	,	,	PUNCT
ejpam-3411	287	6	2018	2018	NUM
ejpam-3411	287	7	.	.	PUNCT