id	sid	tid	token	lemma	pos
ejpam-4551	1	1	european	european	PROPN
ejpam-4551	1	2	journal	journal	PROPN
ejpam-4551	1	3	of	of	ADP
ejpam-4551	1	4	pure	pure	ADJ
ejpam-4551	1	5	and	and	CCONJ
ejpam-4551	1	6	applied	apply	VERB
ejpam-4551	1	7	mathematics	mathematic	NOUN
ejpam-4551	1	8	vol	vol	NOUN
ejpam-4551	1	9	.	.	PROPN
ejpam-4551	2	1	15	15	NUM
ejpam-4551	2	2	,	,	PUNCT
ejpam-4551	2	3	no	no	INTJ
ejpam-4551	2	4	.	.	NOUN
ejpam-4551	2	5	4	4	NUM
ejpam-4551	2	6	,	,	PUNCT
ejpam-4551	2	7	2022	2022	NUM
ejpam-4551	2	8	,	,	PUNCT
ejpam-4551	2	9	1750	1750	NUM
ejpam-4551	2	10	-	-	SYM
ejpam-4551	2	11	1759	1759	NUM
ejpam-4551	2	12	issn	issn	PROPN
ejpam-4551	2	13	1307	1307	NUM
ejpam-4551	2	14	-	-	SYM
ejpam-4551	2	15	5543	5543	NUM
ejpam-4551	2	16	–	–	PUNCT
ejpam-4551	2	17	ejpam.com	ejpam.com	X
ejpam-4551	2	18	published	publish	VERB
ejpam-4551	2	19	by	by	ADP
ejpam-4551	2	20	new	new	PROPN
ejpam-4551	2	21	york	york	PROPN
ejpam-4551	2	22	business	business	PROPN
ejpam-4551	2	23	global	global	ADJ
ejpam-4551	2	24	analytical	analytical	ADJ
ejpam-4551	2	25	solution	solution	NOUN
ejpam-4551	2	26	of	of	ADP
ejpam-4551	2	27	the	the	DET
ejpam-4551	2	28	ginzburg	ginzburg	NOUN
ejpam-4551	2	29	-	-	PUNCT
ejpam-4551	2	30	landau	landau	NOUN
ejpam-4551	2	31	equation	equation	NOUN
ejpam-4551	2	32	yanick	yanick	PROPN
ejpam-4551	2	33	alain	alain	PROPN
ejpam-4551	2	34	servais	servais	PROPN
ejpam-4551	2	35	wellot1,∗	wellot1,∗	PROPN
ejpam-4551	2	36	,	,	PUNCT
ejpam-4551	2	37	gires	gire	VERB
ejpam-4551	2	38	dimitri	dimitri	PROPN
ejpam-4551	2	39	nkaya2	nkaya2	NOUN
ejpam-4551	2	40	1	1	NUM
ejpam-4551	2	41	mathematics	mathematic	NOUN
ejpam-4551	2	42	,	,	PUNCT
ejpam-4551	2	43	ecole	ecole	PROPN
ejpam-4551	2	44	normale	normale	PROPN
ejpam-4551	2	45	supérieure	supérieure	PROPN
ejpam-4551	2	46	,	,	PUNCT
ejpam-4551	2	47	université	université	NOUN
ejpam-4551	2	48	marien	marien	PROPN
ejpam-4551	2	49	ngouabi	ngouabi	PROPN
ejpam-4551	2	50	,	,	PUNCT
ejpam-4551	2	51	brazzaville	brazzaville	PROPN
ejpam-4551	2	52	,	,	PUNCT
ejpam-4551	2	53	congo	congo	PROPN
ejpam-4551	2	54	2	2	NUM
ejpam-4551	2	55	mathematics	mathematic	NOUN
ejpam-4551	2	56	,	,	PUNCT
ejpam-4551	2	57	faculté	faculté	NOUN
ejpam-4551	2	58	des	des	PROPN
ejpam-4551	2	59	sciences	sciences	PROPN
ejpam-4551	2	60	et	et	NOUN
ejpam-4551	2	61	technique	technique	NOUN
ejpam-4551	2	62	,	,	PUNCT
ejpam-4551	2	63	université	université	NOUN
ejpam-4551	2	64	marien	marien	PROPN
ejpam-4551	2	65	ngouabi	ngouabi	PROPN
ejpam-4551	2	66	,	,	PUNCT
ejpam-4551	2	67	brazzaville	brazzaville	PROPN
ejpam-4551	2	68	,	,	PUNCT
ejpam-4551	2	69	congo	congo	PROPN
ejpam-4551	2	70	abstract	abstract	NOUN
ejpam-4551	2	71	.	.	PUNCT
ejpam-4551	3	1	in	in	ADP
ejpam-4551	3	2	this	this	DET
ejpam-4551	3	3	paper	paper	NOUN
ejpam-4551	3	4	,	,	PUNCT
ejpam-4551	3	5	we	we	PRON
ejpam-4551	3	6	will	will	AUX
ejpam-4551	3	7	construct	construct	VERB
ejpam-4551	3	8	the	the	DET
ejpam-4551	3	9	solution	solution	NOUN
ejpam-4551	3	10	of	of	ADP
ejpam-4551	3	11	the	the	DET
ejpam-4551	3	12	landau	landau	NOUN
ejpam-4551	3	13	-	-	PUNCT
ejpam-4551	3	14	ginzburg	ginzburg	NOUN
ejpam-4551	3	15	equation	equation	NOUN
ejpam-4551	3	16	by	by	ADP
ejpam-4551	3	17	the	the	DET
ejpam-4551	3	18	adomian	adomian	NOUN
ejpam-4551	3	19	decomposition	decomposition	NOUN
ejpam-4551	3	20	method	method	NOUN
ejpam-4551	3	21	.	.	PUNCT
ejpam-4551	4	1	this	this	DET
ejpam-4551	4	2	method	method	NOUN
ejpam-4551	4	3	avoids	avoid	VERB
ejpam-4551	4	4	linearization	linearization	NOUN
ejpam-4551	4	5	of	of	ADP
ejpam-4551	4	6	space	space	NOUN
ejpam-4551	4	7	and	and	CCONJ
ejpam-4551	4	8	discretization	discretization	NOUN
ejpam-4551	4	9	of	of	ADP
ejpam-4551	4	10	time	time	NOUN
ejpam-4551	4	11	,	,	PUNCT
ejpam-4551	4	12	it	it	PRON
ejpam-4551	4	13	often	often	ADV
ejpam-4551	4	14	gives	give	VERB
ejpam-4551	4	15	a	a	DET
ejpam-4551	4	16	good	good	ADJ
ejpam-4551	4	17	approximation	approximation	NOUN
ejpam-4551	4	18	of	of	ADP
ejpam-4551	4	19	the	the	DET
ejpam-4551	4	20	exact	exact	ADJ
ejpam-4551	4	21	solution	solution	NOUN
ejpam-4551	4	22	.	.	PUNCT
ejpam-4551	5	1	2020	2020	NUM
ejpam-4551	5	2	mathematics	mathematic	NOUN
ejpam-4551	5	3	subject	subject	NOUN
ejpam-4551	5	4	classifications	classification	NOUN
ejpam-4551	5	5	:	:	PUNCT
ejpam-4551	5	6	47h14	47h14	NOUN
ejpam-4551	5	7	,	,	PUNCT
ejpam-4551	5	8	34g20	34g20	NUM
ejpam-4551	5	9	,	,	PUNCT
ejpam-4551	5	10	47j25	47j25	NUM
ejpam-4551	5	11	,	,	PUNCT
ejpam-4551	5	12	65j15	65j15	NUM
ejpam-4551	5	13	key	key	ADJ
ejpam-4551	5	14	words	word	NOUN
ejpam-4551	5	15	and	and	CCONJ
ejpam-4551	5	16	phrases	phrase	NOUN
ejpam-4551	5	17	:	:	PUNCT
ejpam-4551	5	18	adomian	adomian	NOUN
ejpam-4551	5	19	method	method	NOUN
ejpam-4551	5	20	,	,	PUNCT
ejpam-4551	5	21	ginzburg	ginzburg	NOUN
ejpam-4551	5	22	-	-	PUNCT
ejpam-4551	5	23	landau	landau	NOUN
ejpam-4551	5	24	equation	equation	NOUN
ejpam-4551	5	25	.	.	PUNCT
ejpam-4551	6	1	1	1	X
ejpam-4551	6	2	.	.	X
ejpam-4551	6	3	introduction	introduction	NOUN
ejpam-4551	6	4	the	the	DET
ejpam-4551	6	5	landau	landau	NOUN
ejpam-4551	6	6	equation	equation	NOUN
ejpam-4551	6	7	,	,	PUNCT
ejpam-4551	6	8	also	also	ADV
ejpam-4551	6	9	called	call	VERB
ejpam-4551	6	10	the	the	DET
ejpam-4551	6	11	fokker	fokker	NOUN
ejpam-4551	6	12	-	-	PUNCT
ejpam-4551	6	13	planck	planck	NOUN
ejpam-4551	6	14	-	-	PUNCT
ejpam-4551	6	15	landau	landau	NOUN
ejpam-4551	6	16	equation	equation	NOUN
ejpam-4551	6	17	,	,	PUNCT
ejpam-4551	6	18	is	be	AUX
ejpam-4551	6	19	a	a	DET
ejpam-4551	6	20	nonlinear	nonlinear	ADJ
ejpam-4551	6	21	partial	partial	ADJ
ejpam-4551	6	22	differential	differential	NOUN
ejpam-4551	6	23	equation	equation	NOUN
ejpam-4551	6	24	that	that	PRON
ejpam-4551	6	25	describes	describe	VERB
ejpam-4551	6	26	the	the	DET
ejpam-4551	6	27	motion	motion	NOUN
ejpam-4551	6	28	of	of	ADP
ejpam-4551	6	29	particles	particle	NOUN
ejpam-4551	6	30	in	in	ADP
ejpam-4551	6	31	a	a	DET
ejpam-4551	6	32	plasma	plasma	NOUN
ejpam-4551	6	33	.	.	PUNCT
ejpam-4551	7	1	this	this	DET
ejpam-4551	7	2	equation	equation	NOUN
ejpam-4551	7	3	was	be	AUX
ejpam-4551	7	4	obtained	obtain	VERB
ejpam-4551	7	5	by	by	ADP
ejpam-4551	7	6	lev	lev	ADJ
ejpam-4551	7	7	davidovitch	davidovitch	PROPN
ejpam-4551	7	8	landau	landau	NOUN
ejpam-4551	7	9	in	in	ADP
ejpam-4551	7	10	1936	1936	NUM
ejpam-4551	7	11	from	from	ADP
ejpam-4551	7	12	the	the	DET
ejpam-4551	7	13	bolzmann	bolzmann	NOUN
ejpam-4551	7	14	equation	equation	NOUN
ejpam-4551	7	15	[	[	X
ejpam-4551	7	16	3	3	NUM
ejpam-4551	7	17	,	,	PUNCT
ejpam-4551	7	18	4	4	NUM
ejpam-4551	7	19	]	]	PUNCT
ejpam-4551	7	20	.	.	PUNCT
ejpam-4551	8	1	in	in	ADP
ejpam-4551	8	2	1950	1950	NUM
ejpam-4551	8	3	,	,	PUNCT
ejpam-4551	8	4	ginzburg	ginzburg	NOUN
ejpam-4551	8	5	and	and	CCONJ
ejpam-4551	8	6	landau	landau	NOUN
ejpam-4551	8	7	proposed	propose	VERB
ejpam-4551	8	8	an	an	DET
ejpam-4551	8	9	extension	extension	NOUN
ejpam-4551	8	10	of	of	ADP
ejpam-4551	8	11	the	the	DET
ejpam-4551	8	12	landau	landau	NOUN
ejpam-4551	8	13	energy	energy	NOUN
ejpam-4551	8	14	to	to	PART
ejpam-4551	8	15	describe	describe	VERB
ejpam-4551	8	16	the	the	DET
ejpam-4551	8	17	superconductor	superconductor	NOUN
ejpam-4551	8	18	in	in	ADP
ejpam-4551	8	19	the	the	DET
ejpam-4551	8	20	presence	presence	NOUN
ejpam-4551	8	21	of	of	ADP
ejpam-4551	8	22	a	a	DET
ejpam-4551	8	23	magnetic	magnetic	ADJ
ejpam-4551	8	24	field	field	NOUN
ejpam-4551	8	25	.	.	PUNCT
ejpam-4551	9	1	in	in	ADP
ejpam-4551	9	2	this	this	DET
ejpam-4551	9	3	article	article	NOUN
ejpam-4551	9	4	,	,	PUNCT
ejpam-4551	9	5	we	we	PRON
ejpam-4551	9	6	are	be	AUX
ejpam-4551	9	7	interested	interested	ADJ
ejpam-4551	9	8	in	in	ADP
ejpam-4551	9	9	the	the	DET
ejpam-4551	9	10	difference	difference	NOUN
ejpam-4551	9	11	in	in	ADP
ejpam-4551	9	12	these	these	DET
ejpam-4551	9	13	two	two	NUM
ejpam-4551	9	14	models	model	NOUN
ejpam-4551	9	15	try	try	VERB
ejpam-4551	9	16	to	to	PART
ejpam-4551	9	17	describe	describe	VERB
ejpam-4551	9	18	the	the	DET
ejpam-4551	9	19	field	field	NOUN
ejpam-4551	9	20	applied	apply	VERB
ejpam-4551	9	21	to	to	ADP
ejpam-4551	9	22	systems	system	NOUN
ejpam-4551	9	23	of	of	ADP
ejpam-4551	9	24	partial	partial	ADJ
ejpam-4551	9	25	differential	differential	ADJ
ejpam-4551	9	26	equations	equation	NOUN
ejpam-4551	9	27	with	with	ADP
ejpam-4551	9	28	initial	initial	ADJ
ejpam-4551	9	29	conditions	condition	NOUN
ejpam-4551	9	30	.	.	PUNCT
ejpam-4551	10	1	then	then	ADV
ejpam-4551	10	2	we	we	PRON
ejpam-4551	10	3	apply	apply	VERB
ejpam-4551	10	4	the	the	DET
ejpam-4551	10	5	adomian	adomian	NOUN
ejpam-4551	10	6	decomposition	decomposition	NOUN
ejpam-4551	10	7	method	method	NOUN
ejpam-4551	10	8	[	[	X
ejpam-4551	10	9	1	1	NUM
ejpam-4551	10	10	,	,	PUNCT
ejpam-4551	10	11	2	2	NUM
ejpam-4551	10	12	]	]	PUNCT
ejpam-4551	10	13	,	,	PUNCT
ejpam-4551	10	14	an	an	DET
ejpam-4551	10	15	analytical	analytical	ADJ
ejpam-4551	10	16	method	method	NOUN
ejpam-4551	10	17	that	that	PRON
ejpam-4551	10	18	allows	allow	VERB
ejpam-4551	10	19	us	we	PRON
ejpam-4551	10	20	to	to	PART
ejpam-4551	10	21	obtain	obtain	VERB
ejpam-4551	10	22	an	an	DET
ejpam-4551	10	23	exact	exact	ADJ
ejpam-4551	10	24	solution	solution	NOUN
ejpam-4551	10	25	when	when	SCONJ
ejpam-4551	10	26	it	it	PRON
ejpam-4551	10	27	exists	exist	VERB
ejpam-4551	10	28	without	without	ADP
ejpam-4551	10	29	space	space	NOUN
ejpam-4551	10	30	linearization	linearization	NOUN
ejpam-4551	10	31	and	and	CCONJ
ejpam-4551	10	32	time	time	NOUN
ejpam-4551	10	33	discretization	discretization	NOUN
ejpam-4551	10	34	.	.	PUNCT
ejpam-4551	11	1	however	however	ADV
ejpam-4551	11	2	,	,	PUNCT
ejpam-4551	11	3	the	the	DET
ejpam-4551	11	4	existence	existence	NOUN
ejpam-4551	11	5	and	and	CCONJ
ejpam-4551	11	6	uniqueness	uniqueness	NOUN
ejpam-4551	11	7	of	of	ADP
ejpam-4551	11	8	solution	solution	NOUN
ejpam-4551	11	9	of	of	ADP
ejpam-4551	11	10	the	the	DET
ejpam-4551	11	11	ginzburg	ginzburg	NOUN
ejpam-4551	11	12	-	-	PUNCT
ejpam-4551	11	13	landau	landau	NOUN
ejpam-4551	11	14	equation	equation	NOUN
ejpam-4551	11	15	has	have	AUX
ejpam-4551	11	16	been	be	AUX
ejpam-4551	11	17	proved	prove	VERB
ejpam-4551	11	18	in	in	ADP
ejpam-4551	11	19	[	[	X
ejpam-4551	11	20	5–7	5–7	NOUN
ejpam-4551	11	21	]	]	PUNCT
ejpam-4551	11	22	.	.	PUNCT
ejpam-4551	12	1	in	in	ADP
ejpam-4551	12	2	the	the	DET
ejpam-4551	12	3	mathematical	mathematical	ADJ
ejpam-4551	12	4	and	and	CCONJ
ejpam-4551	12	5	physical	physical	ADJ
ejpam-4551	12	6	context	context	NOUN
ejpam-4551	12	7	,	,	PUNCT
ejpam-4551	12	8	explanations	explanation	NOUN
ejpam-4551	12	9	are	be	AUX
ejpam-4551	12	10	being	be	AUX
ejpam-4551	12	11	made	make	VERB
ejpam-4551	12	12	available	available	ADJ
ejpam-4551	12	13	to	to	ADP
ejpam-4551	12	14	the	the	DET
ejpam-4551	12	15	research	research	NOUN
ejpam-4551	12	16	community	community	NOUN
ejpam-4551	12	17	.	.	PUNCT
ejpam-4551	13	1	during	during	ADP
ejpam-4551	13	2	the	the	DET
ejpam-4551	13	3	last	last	ADJ
ejpam-4551	13	4	two	two	NUM
ejpam-4551	13	5	decades	decade	NOUN
ejpam-4551	13	6	,	,	PUNCT
ejpam-4551	13	7	the	the	DET
ejpam-4551	13	8	mathematics	mathematic	NOUN
ejpam-4551	13	9	of	of	ADP
ejpam-4551	13	10	superconductivity	superconductivity	NOUN
ejpam-4551	13	11	has	have	AUX
ejpam-4551	13	12	been	be	AUX
ejpam-4551	13	13	the	the	DET
ejpam-4551	13	14	subject	subject	NOUN
ejpam-4551	13	15	of	of	ADP
ejpam-4551	13	16	intense	intense	ADJ
ejpam-4551	13	17	activity	activity	NOUN
ejpam-4551	13	18	[	[	X
ejpam-4551	13	19	8	8	NUM
ejpam-4551	13	20	,	,	PUNCT
ejpam-4551	13	21	10	10	NUM
ejpam-4551	13	22	,	,	PUNCT
ejpam-4551	13	23	13	13	NUM
ejpam-4551	13	24	,	,	PUNCT
ejpam-4551	13	25	14	14	NUM
ejpam-4551	13	26	]	]	PUNCT
ejpam-4551	13	27	.	.	PUNCT
ejpam-4551	14	1	the	the	DET
ejpam-4551	14	2	ginzburg	ginzburg	NOUN
ejpam-4551	14	3	-	-	PUNCT
ejpam-4551	14	4	landau	landau	NOUN
ejpam-4551	14	5	function	function	NOUN
ejpam-4551	14	6	is	be	AUX
ejpam-4551	14	7	a	a	DET
ejpam-4551	14	8	commonly	commonly	ADV
ejpam-4551	14	9	used	use	VERB
ejpam-4551	14	10	model	model	NOUN
ejpam-4551	14	11	to	to	PART
ejpam-4551	14	12	describe	describe	VERB
ejpam-4551	14	13	the	the	DET
ejpam-4551	14	14	behavior	behavior	NOUN
ejpam-4551	14	15	of	of	ADP
ejpam-4551	14	16	a	a	DET
ejpam-4551	14	17	superconductor	superconductor	NOUN
ejpam-4551	14	18	involving	involve	VERB
ejpam-4551	14	19	,	,	PUNCT
ejpam-4551	14	20	a	a	DET
ejpam-4551	14	21	wave	wave	NOUN
ejpam-4551	14	22	function	function	NOUN
ejpam-4551	14	23	(	(	PUNCT
ejpam-4551	14	24	called	call	VERB
ejpam-4551	14	25	order	order	NOUN
ejpam-4551	14	26	parameter	parameter	NOUN
ejpam-4551	14	27	)	)	PUNCT
ejpam-4551	14	28	and	and	CCONJ
ejpam-4551	14	29	a	a	DET
ejpam-4551	14	30	vector	vector	NOUN
ejpam-4551	14	31	field	field	NOUN
ejpam-4551	14	32	(	(	PUNCT
ejpam-4551	14	33	called	call	VERB
ejpam-4551	14	34	magnetic	magnetic	ADJ
ejpam-4551	14	35	potential	potential	NOUN
ejpam-4551	14	36	)	)	PUNCT
ejpam-4551	14	37	,	,	PUNCT
ejpam-4551	14	38	both	both	PRON
ejpam-4551	14	39	defined	define	VERB
ejpam-4551	14	40	on	on	ADP
ejpam-4551	14	41	an	an	DET
ejpam-4551	14	42	open	open	ADJ
ejpam-4551	14	43	set	set	NOUN
ejpam-4551	14	44	[	[	X
ejpam-4551	14	45	9	9	NUM
ejpam-4551	14	46	]	]	PUNCT
ejpam-4551	14	47	.	.	PUNCT
ejpam-4551	15	1	∗corresponding	∗corresponde	VERB
ejpam-4551	15	2	author	author	NOUN
ejpam-4551	15	3	.	.	PUNCT
ejpam-4551	16	1	doi	doi	NOUN
ejpam-4551	16	2	:	:	PUNCT
ejpam-4551	16	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4551	https://doi.org/10.29020/nybg.ejpam.v15i4.4551	NUM
ejpam-4551	16	4	email	email	NOUN
ejpam-4551	16	5	addresses	address	VERB
ejpam-4551	16	6	:	:	PUNCT
ejpam-4551	16	7	yanick.wellot@umng.cg	yanick.wellot@umng.cg	PROPN
ejpam-4551	16	8	(	(	PUNCT
ejpam-4551	16	9	y.a.s	y.a.	NOUN
ejpam-4551	16	10	.	.	NOUN
ejpam-4551	16	11	wellot	wellot	NOUN
ejpam-4551	16	12	)	)	PUNCT
ejpam-4551	16	13	,	,	PUNCT
ejpam-4551	16	14	mail:giresnkaya@gmail.com	mail:giresnkaya@gmail.com	X
ejpam-4551	16	15	(	(	PUNCT
ejpam-4551	16	16	g.	g.	PROPN
ejpam-4551	16	17	d.	d.	PROPN
ejpam-4551	16	18	nkaya	nkaya	PROPN
ejpam-4551	16	19	)	)	PUNCT
ejpam-4551	16	20	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4551	17	1	1750	1750	NUM
ejpam-4551	18	1	©	©	ADP
ejpam-4551	18	2	2022	2022	NUM
ejpam-4551	18	3	ejpam	ejpam	VERB
ejpam-4551	18	4	all	all	DET
ejpam-4551	18	5	rights	right	NOUN
ejpam-4551	18	6	reserved	reserve	VERB
ejpam-4551	18	7	.	.	PUNCT
ejpam-4551	19	1	y.	y.	PROPN
ejpam-4551	19	2	a.	a.	PROPN
ejpam-4551	19	3	s.	s.	PROPN
ejpam-4551	19	4	wellot	wellot	PROPN
ejpam-4551	19	5	,	,	PUNCT
ejpam-4551	19	6	g.	g.	PROPN
ejpam-4551	19	7	d.	d.	PROPN
ejpam-4551	19	8	nkaya	nkaya	PROPN
ejpam-4551	19	9	/	/	SYM
ejpam-4551	19	10	eur	eur	PROPN
ejpam-4551	19	11	.	.	PUNCT
ejpam-4551	20	1	j.	j.	PROPN
ejpam-4551	20	2	pure	pure	PROPN
ejpam-4551	20	3	appl	appl	PROPN
ejpam-4551	20	4	.	.	PROPN
ejpam-4551	20	5	math	math	PROPN
ejpam-4551	20	6	,	,	PUNCT
ejpam-4551	20	7	15	15	NUM
ejpam-4551	20	8	(	(	PUNCT
ejpam-4551	20	9	4	4	NUM
ejpam-4551	20	10	)	)	PUNCT
ejpam-4551	20	11	(	(	PUNCT
ejpam-4551	20	12	2022	2022	NUM
ejpam-4551	20	13	)	)	PUNCT
ejpam-4551	20	14	,	,	PUNCT
ejpam-4551	20	15	1750	1750	NUM
ejpam-4551	20	16	-	-	SYM
ejpam-4551	20	17	1759	1759	NUM
ejpam-4551	20	18	1751	1751	NUM
ejpam-4551	20	19	2	2	NUM
ejpam-4551	20	20	.	.	PUNCT
ejpam-4551	20	21	proposition	proposition	NOUN
ejpam-4551	20	22	on	on	ADP
ejpam-4551	20	23	the	the	DET
ejpam-4551	20	24	basis	basis	NOUN
ejpam-4551	20	25	of	of	ADP
ejpam-4551	20	26	a	a	DET
ejpam-4551	20	27	suitable	suitable	ADJ
ejpam-4551	20	28	choice	choice	NOUN
ejpam-4551	20	29	of	of	ADP
ejpam-4551	20	30	physical	physical	ADJ
ejpam-4551	20	31	data	datum	NOUN
ejpam-4551	20	32	the	the	DET
ejpam-4551	20	33	model	model	NOUN
ejpam-4551	20	34	can	can	AUX
ejpam-4551	20	35	be	be	AUX
ejpam-4551	20	36	written	write	VERB
ejpam-4551	20	37	in	in	ADP
ejpam-4551	20	38	a	a	DET
ejpam-4551	20	39	mathematical	mathematical	ADJ
ejpam-4551	20	40	way	way	NOUN
ejpam-4551	20	41	in	in	ADP
ejpam-4551	20	42	the	the	DET
ejpam-4551	20	43	form	form	NOUN
ejpam-4551	20	44	[	[	X
ejpam-4551	20	45	11]:	11]:	NUM
ejpam-4551	20	46	∂u(x	∂u(x	PROPN
ejpam-4551	20	47	,	,	PUNCT
ejpam-4551	20	48	t	t	PROPN
ejpam-4551	20	49	)	)	PUNCT
ejpam-4551	20	50	∂t	∂t	PROPN
ejpam-4551	21	1	=	=	PUNCT
ejpam-4551	21	2	(	(	PUNCT
ejpam-4551	21	3	1	1	NUM
ejpam-4551	21	4	+	+	NUM
ejpam-4551	21	5	iα	iα	ADJ
ejpam-4551	21	6	)	)	PUNCT
ejpam-4551	21	7	∂2u(x	∂2u(x	PROPN
ejpam-4551	21	8	,	,	PUNCT
ejpam-4551	21	9	t	t	PROPN
ejpam-4551	21	10	)	)	PUNCT
ejpam-4551	21	11	∂x2	∂x2	NOUN
ejpam-4551	21	12	+	+	SYM
ejpam-4551	21	13	γu(x	γu(x	NOUN
ejpam-4551	21	14	,	,	PUNCT
ejpam-4551	21	15	t)−	t)−	PROPN
ejpam-4551	21	16	(	(	PUNCT
ejpam-4551	21	17	1	1	NUM
ejpam-4551	21	18	+	+	CCONJ
ejpam-4551	21	19	ib)|u(x	ib)|u(x	NOUN
ejpam-4551	21	20	,	,	PUNCT
ejpam-4551	21	21	t)|2nu(x	t)|2nu(x	VERB
ejpam-4551	21	22	,	,	PUNCT
ejpam-4551	21	23	t)−	t)−	PROPN
ejpam-4551	21	24	(	(	PUNCT
ejpam-4551	21	25	1−	1−	NUM
ejpam-4551	21	26	4i)|u(x	4i)|u(x	NUM
ejpam-4551	21	27	,	,	PUNCT
ejpam-4551	21	28	t)|4nu(x	t)|4nu(x	NOUN
ejpam-4551	21	29	,	,	PUNCT
ejpam-4551	21	30	t	t	PROPN
ejpam-4551	21	31	)	)	PUNCT
ejpam-4551	21	32	n	n	NOUN
ejpam-4551	21	33	⩾	⩾	NOUN
ejpam-4551	21	34	1	1	NUM
ejpam-4551	21	35	,	,	PUNCT
ejpam-4551	21	36	i2	i2	NOUN
ejpam-4551	21	37	=	=	SYM
ejpam-4551	21	38	−1	−1	PROPN
ejpam-4551	21	39	,	,	PUNCT
ejpam-4551	21	40	α	α	X
ejpam-4551	21	41	,	,	PUNCT
ejpam-4551	21	42	γ	γ	PROPN
ejpam-4551	21	43	,	,	PUNCT
ejpam-4551	21	44	b	b	NOUN
ejpam-4551	21	45	are	be	AUX
ejpam-4551	21	46	real	real	ADJ
ejpam-4551	21	47	u(x	u(x	NOUN
ejpam-4551	21	48	,	,	PUNCT
ejpam-4551	21	49	0	0	NUM
ejpam-4551	21	50	)	)	PUNCT
ejpam-4551	21	51	=	=	SYM
ejpam-4551	21	52	f(x	f(x	PROPN
ejpam-4551	21	53	)	)	PUNCT
ejpam-4551	21	54	.	.	PUNCT
ejpam-4551	22	1	(	(	PUNCT
ejpam-4551	22	2	1	1	X
ejpam-4551	22	3	)	)	PUNCT
ejpam-4551	22	4	3	3	NUM
ejpam-4551	22	5	.	.	X
ejpam-4551	23	1	about	about	ADP
ejpam-4551	23	2	adomian	adomian	NOUN
ejpam-4551	23	3	decomposition	decomposition	NOUN
ejpam-4551	23	4	method	method	NOUN
ejpam-4551	23	5	the	the	DET
ejpam-4551	23	6	adomian	adomian	NOUN
ejpam-4551	23	7	decomposition	decomposition	NOUN
ejpam-4551	23	8	method	method	NOUN
ejpam-4551	23	9	allows	allow	VERB
ejpam-4551	23	10	to	to	PART
ejpam-4551	23	11	solve	solve	VERB
ejpam-4551	23	12	functional	functional	ADJ
ejpam-4551	23	13	problems	problem	NOUN
ejpam-4551	23	14	of	of	ADP
ejpam-4551	23	15	different	different	ADJ
ejpam-4551	23	16	types	type	NOUN
ejpam-4551	23	17	:	:	PUNCT
ejpam-4551	23	18	algebraic	algebraic	ADJ
ejpam-4551	23	19	equations	equation	NOUN
ejpam-4551	23	20	,	,	PUNCT
ejpam-4551	23	21	differential	differential	ADJ
ejpam-4551	23	22	,	,	PUNCT
ejpam-4551	23	23	integral	integral	ADJ
ejpam-4551	23	24	,	,	PUNCT
ejpam-4551	23	25	integro	integro	ADJ
ejpam-4551	23	26	-	-	PUNCT
ejpam-4551	23	27	differential	differential	ADJ
ejpam-4551	23	28	and	and	CCONJ
ejpam-4551	23	29	partial	partial	ADJ
ejpam-4551	23	30	differential	differential	NOUN
ejpam-4551	23	31	equations	equation	NOUN
ejpam-4551	23	32	.	.	PUNCT
ejpam-4551	24	1	it	it	PRON
ejpam-4551	24	2	was	be	AUX
ejpam-4551	24	3	introduced	introduce	VERB
ejpam-4551	24	4	in	in	ADP
ejpam-4551	24	5	the	the	DET
ejpam-4551	24	6	1980s	1980s	NUM
ejpam-4551	24	7	by	by	ADP
ejpam-4551	24	8	professor	professor	NOUN
ejpam-4551	24	9	,	,	PUNCT
ejpam-4551	24	10	georges	georges	PROPN
ejpam-4551	24	11	adomian	adomian	NOUN
ejpam-4551	24	12	(	(	PUNCT
ejpam-4551	24	13	1922	1922	NUM
ejpam-4551	24	14	1996	1996	NUM
ejpam-4551	24	15	)	)	PUNCT
ejpam-4551	24	16	.	.	PUNCT
ejpam-4551	25	1	it	it	PRON
ejpam-4551	25	2	is	be	AUX
ejpam-4551	25	3	a	a	DET
ejpam-4551	25	4	decomposition	decomposition	NOUN
ejpam-4551	25	5	method	method	NOUN
ejpam-4551	25	6	which	which	PRON
ejpam-4551	25	7	consists	consist	VERB
ejpam-4551	25	8	in	in	ADP
ejpam-4551	25	9	seeking	seek	VERB
ejpam-4551	25	10	the	the	DET
ejpam-4551	25	11	solution	solution	NOUN
ejpam-4551	25	12	in	in	ADP
ejpam-4551	25	13	the	the	DET
ejpam-4551	25	14	form	form	NOUN
ejpam-4551	25	15	of	of	ADP
ejpam-4551	25	16	a	a	DET
ejpam-4551	25	17	convergent	convergent	NOUN
ejpam-4551	25	18	series	series	NOUN
ejpam-4551	25	19	.	.	PUNCT
ejpam-4551	26	1	it	it	PRON
ejpam-4551	26	2	has	have	VERB
ejpam-4551	26	3	the	the	DET
ejpam-4551	26	4	advantage	advantage	NOUN
ejpam-4551	26	5	of	of	ADP
ejpam-4551	26	6	not	not	PART
ejpam-4551	26	7	linearizing	linearize	VERB
ejpam-4551	26	8	and	and	CCONJ
ejpam-4551	26	9	discretizing	discretize	VERB
ejpam-4551	26	10	the	the	DET
ejpam-4551	26	11	equations	equation	NOUN
ejpam-4551	26	12	.	.	PUNCT
ejpam-4551	27	1	this	this	DET
ejpam-4551	27	2	method	method	NOUN
ejpam-4551	27	3	allows	allow	VERB
ejpam-4551	27	4	to	to	PART
ejpam-4551	27	5	determine	determine	VERB
ejpam-4551	27	6	the	the	DET
ejpam-4551	27	7	exact	exact	ADJ
ejpam-4551	27	8	solution	solution	NOUN
ejpam-4551	27	9	of	of	ADP
ejpam-4551	27	10	the	the	DET
ejpam-4551	27	11	problem	problem	NOUN
ejpam-4551	27	12	if	if	SCONJ
ejpam-4551	27	13	it	it	PRON
ejpam-4551	27	14	exists	exist	VERB
ejpam-4551	27	15	or	or	CCONJ
ejpam-4551	27	16	to	to	PART
ejpam-4551	27	17	give	give	VERB
ejpam-4551	27	18	an	an	DET
ejpam-4551	27	19	approximation	approximation	NOUN
ejpam-4551	27	20	of	of	ADP
ejpam-4551	27	21	the	the	DET
ejpam-4551	27	22	solution	solution	NOUN
ejpam-4551	27	23	of	of	ADP
ejpam-4551	27	24	the	the	DET
ejpam-4551	27	25	problem	problem	NOUN
ejpam-4551	27	26	by	by	ADP
ejpam-4551	27	27	preserving	preserve	VERB
ejpam-4551	27	28	the	the	DET
ejpam-4551	27	29	physical	physical	ADJ
ejpam-4551	27	30	properties	property	NOUN
ejpam-4551	27	31	of	of	ADP
ejpam-4551	27	32	the	the	DET
ejpam-4551	27	33	studied	studied	ADJ
ejpam-4551	27	34	phenomenon	phenomenon	NOUN
ejpam-4551	27	35	.	.	PUNCT
ejpam-4551	28	1	let	let	VERB
ejpam-4551	28	2	us	we	PRON
ejpam-4551	28	3	solve	solve	VERB
ejpam-4551	28	4	the	the	DET
ejpam-4551	28	5	functional	functional	ADJ
ejpam-4551	28	6	equation	equation	NOUN
ejpam-4551	28	7	:	:	PUNCT
ejpam-4551	28	8	au	au	PROPN
ejpam-4551	28	9	=	=	SYM
ejpam-4551	28	10	h	h	NOUN
ejpam-4551	28	11	,	,	PUNCT
ejpam-4551	28	12	(	(	PUNCT
ejpam-4551	28	13	2	2	NUM
ejpam-4551	28	14	)	)	PUNCT
ejpam-4551	28	15	where	where	SCONJ
ejpam-4551	28	16	a	a	PRON
ejpam-4551	28	17	is	be	AUX
ejpam-4551	28	18	an	an	DET
ejpam-4551	28	19	operator	operator	NOUN
ejpam-4551	28	20	of	of	ADP
ejpam-4551	28	21	a	a	DET
ejpam-4551	28	22	real	real	ADJ
ejpam-4551	28	23	hilbert	hilbert	NOUN
ejpam-4551	28	24	space	space	NOUN
ejpam-4551	28	25	h	h	NOUN
ejpam-4551	28	26	,	,	PUNCT
ejpam-4551	28	27	u	u	PROPN
ejpam-4551	28	28	∈	∈	PROPN
ejpam-4551	28	29	h	h	NOUN
ejpam-4551	28	30	an	an	DET
ejpam-4551	28	31	unknown	unknown	ADJ
ejpam-4551	28	32	function	function	NOUN
ejpam-4551	28	33	and	and	CCONJ
ejpam-4551	28	34	h	h	NOUN
ejpam-4551	28	35	∈	∈	PROPN
ejpam-4551	28	36	h	h	NOUN
ejpam-4551	28	37	a	a	DET
ejpam-4551	28	38	known	know	VERB
ejpam-4551	28	39	function	function	NOUN
ejpam-4551	28	40	.	.	PUNCT
ejpam-4551	29	1	the	the	DET
ejpam-4551	29	2	principle	principle	NOUN
ejpam-4551	29	3	of	of	ADP
ejpam-4551	29	4	the	the	DET
ejpam-4551	29	5	adomian	adomian	NOUN
ejpam-4551	29	6	decomposition	decomposition	NOUN
ejpam-4551	29	7	method	method	NOUN
ejpam-4551	29	8	consists	consist	VERB
ejpam-4551	29	9	in	in	ADP
ejpam-4551	29	10	decomposing	decompose	VERB
ejpam-4551	29	11	the	the	DET
ejpam-4551	29	12	operator	operator	NOUN
ejpam-4551	29	13	a	a	PRON
ejpam-4551	29	14	into	into	ADP
ejpam-4551	29	15	two	two	NUM
ejpam-4551	29	16	parts	part	NOUN
ejpam-4551	29	17	:	:	PUNCT
ejpam-4551	29	18	one	one	NUM
ejpam-4551	29	19	linear	linear	NOUN
ejpam-4551	29	20	and	and	CCONJ
ejpam-4551	29	21	the	the	DET
ejpam-4551	29	22	other	other	ADJ
ejpam-4551	29	23	non	non	ADJ
ejpam-4551	29	24	-	-	ADJ
ejpam-4551	29	25	linear	linear	ADJ
ejpam-4551	29	26	:	:	PUNCT
ejpam-4551	29	27	a	a	DET
ejpam-4551	29	28	=	=	X
ejpam-4551	29	29	l+r︸	l+r︸	PROPN
ejpam-4551	29	30	︷︷	︷︷	PROPN
ejpam-4551	30	1	︸	︸	X
ejpam-4551	30	2	linear	linear	PROPN
ejpam-4551	30	3	+	+	CCONJ
ejpam-4551	30	4	n︸︷︷︸	n︸︷︷︸	CCONJ
ejpam-4551	30	5	nonlinear	nonlinear	ADJ
ejpam-4551	30	6	,	,	PUNCT
ejpam-4551	30	7	(	(	PUNCT
ejpam-4551	30	8	3	3	X
ejpam-4551	30	9	)	)	PUNCT
ejpam-4551	30	10	where	where	SCONJ
ejpam-4551	30	11	l	l	NOUN
ejpam-4551	30	12	is	be	AUX
ejpam-4551	30	13	assumed	assume	VERB
ejpam-4551	30	14	to	to	PART
ejpam-4551	30	15	be	be	AUX
ejpam-4551	30	16	invertible	invertible	ADJ
ejpam-4551	30	17	in	in	ADP
ejpam-4551	30	18	the	the	DET
ejpam-4551	30	19	adomian	adomian	NOUN
ejpam-4551	30	20	sense	sense	NOUN
ejpam-4551	30	21	.	.	PUNCT
ejpam-4551	31	1	a	a	DET
ejpam-4551	31	2	in	in	ADP
ejpam-4551	31	3	(	(	PUNCT
ejpam-4551	31	4	2	2	NUM
ejpam-4551	31	5	)	)	PUNCT
ejpam-4551	31	6	leads	lead	VERB
ejpam-4551	31	7	to	to	ADP
ejpam-4551	31	8	lu+ru+nu	lu+ru+nu	PROPN
ejpam-4551	31	9	=	=	NOUN
ejpam-4551	31	10	h	h	NOUN
ejpam-4551	31	11	;	;	PUNCT
ejpam-4551	31	12	(	(	PUNCT
ejpam-4551	31	13	4	4	X
ejpam-4551	31	14	)	)	PUNCT
ejpam-4551	31	15	by	by	ADP
ejpam-4551	31	16	applying	apply	VERB
ejpam-4551	31	17	l−1	l−1	PROPN
ejpam-4551	31	18	to	to	ADP
ejpam-4551	31	19	(	(	PUNCT
ejpam-4551	31	20	4	4	NUM
ejpam-4551	31	21	)	)	PUNCT
ejpam-4551	31	22	,	,	PUNCT
ejpam-4551	31	23	we	we	PRON
ejpam-4551	31	24	obtain	obtain	VERB
ejpam-4551	31	25	the	the	DET
ejpam-4551	31	26	canonical	canonical	ADJ
ejpam-4551	31	27	form	form	NOUN
ejpam-4551	31	28	of	of	ADP
ejpam-4551	31	29	adomian	adomian	NOUN
ejpam-4551	31	30	:	:	PUNCT
ejpam-4551	31	31	u	u	NOUN
ejpam-4551	31	32	=	=	PROPN
ejpam-4551	31	33	θ	θ	PROPN
ejpam-4551	31	34	+	+	CCONJ
ejpam-4551	31	35	l−1h	l−1h	ADJ
ejpam-4551	31	36	−	−	PROPN
ejpam-4551	31	37	l−1ru−	l−1ru−	PROPN
ejpam-4551	31	38	l−1nu	l−1nu	NOUN
ejpam-4551	31	39	,	,	PUNCT
ejpam-4551	31	40	(	(	PUNCT
ejpam-4551	31	41	5	5	X
ejpam-4551	31	42	)	)	PUNCT
ejpam-4551	31	43	y.	y.	NOUN
ejpam-4551	31	44	a.	a.	PROPN
ejpam-4551	31	45	s.	s.	PROPN
ejpam-4551	31	46	wellot	wellot	PROPN
ejpam-4551	31	47	,	,	PUNCT
ejpam-4551	31	48	g.	g.	PROPN
ejpam-4551	31	49	d.	d.	PROPN
ejpam-4551	31	50	nkaya	nkaya	PROPN
ejpam-4551	31	51	/	/	SYM
ejpam-4551	31	52	eur	eur	PROPN
ejpam-4551	31	53	.	.	PUNCT
ejpam-4551	32	1	j.	j.	PROPN
ejpam-4551	32	2	pure	pure	PROPN
ejpam-4551	32	3	appl	appl	PROPN
ejpam-4551	32	4	.	.	PROPN
ejpam-4551	32	5	math	math	PROPN
ejpam-4551	32	6	,	,	PUNCT
ejpam-4551	32	7	15	15	NUM
ejpam-4551	32	8	(	(	PUNCT
ejpam-4551	32	9	4	4	NUM
ejpam-4551	32	10	)	)	PUNCT
ejpam-4551	32	11	(	(	PUNCT
ejpam-4551	32	12	2022	2022	NUM
ejpam-4551	32	13	)	)	PUNCT
ejpam-4551	32	14	,	,	PUNCT
ejpam-4551	32	15	1750	1750	NUM
ejpam-4551	32	16	-	-	SYM
ejpam-4551	32	17	1759	1759	NUM
ejpam-4551	32	18	1752	1752	NUM
ejpam-4551	32	19	where	where	SCONJ
ejpam-4551	32	20	θ	θ	PROPN
ejpam-4551	32	21	verifies	verify	VERB
ejpam-4551	32	22	the	the	DET
ejpam-4551	32	23	relationship	relationship	NOUN
ejpam-4551	32	24	lθ	lθ	NOUN
ejpam-4551	33	1	=	=	PUNCT
ejpam-4551	33	2	0	0	PUNCT
ejpam-4551	34	1	(	(	PUNCT
ejpam-4551	34	2	θ	θ	NOUN
ejpam-4551	34	3	is	be	AUX
ejpam-4551	34	4	the	the	DET
ejpam-4551	34	5	integration	integration	NOUN
ejpam-4551	34	6	constant	constant	ADJ
ejpam-4551	34	7	if	if	SCONJ
ejpam-4551	34	8	l	l	NOUN
ejpam-4551	34	9	is	be	AUX
ejpam-4551	34	10	a	a	DET
ejpam-4551	34	11	differential	differential	ADJ
ejpam-4551	34	12	operator	operator	NOUN
ejpam-4551	34	13	)	)	PUNCT
ejpam-4551	34	14	.	.	PUNCT
ejpam-4551	35	1	as	as	ADP
ejpam-4551	35	2	for	for	ADP
ejpam-4551	35	3	the	the	DET
ejpam-4551	35	4	adomian	adomian	NOUN
ejpam-4551	35	5	algorithm	algorithm	NOUN
ejpam-4551	35	6	,	,	PUNCT
ejpam-4551	35	7	it	it	PRON
ejpam-4551	35	8	is	be	AUX
ejpam-4551	35	9	obtained	obtain	VERB
ejpam-4551	35	10	by	by	ADP
ejpam-4551	35	11	assuming	assume	VERB
ejpam-4551	35	12	that	that	SCONJ
ejpam-4551	35	13	the	the	DET
ejpam-4551	35	14	solution	solution	NOUN
ejpam-4551	35	15	of	of	ADP
ejpam-4551	35	16	(	(	PUNCT
ejpam-4551	35	17	2	2	NUM
ejpam-4551	35	18	)	)	PUNCT
ejpam-4551	35	19	has	have	VERB
ejpam-4551	35	20	the	the	DET
ejpam-4551	35	21	form	form	NOUN
ejpam-4551	35	22	of	of	ADP
ejpam-4551	35	23	a	a	DET
ejpam-4551	35	24	series	series	NOUN
ejpam-4551	35	25	u	u	NOUN
ejpam-4551	35	26	=	=	PROPN
ejpam-4551	35	27	∞∑	∞∑	PROPN
ejpam-4551	35	28	n=0	n=0	NUM
ejpam-4551	35	29	un	un	X
ejpam-4551	35	30	.	.	PROPN
ejpam-4551	36	1	(	(	PUNCT
ejpam-4551	36	2	6	6	NUM
ejpam-4551	36	3	)	)	PUNCT
ejpam-4551	36	4	the	the	DET
ejpam-4551	36	5	nonlinear	nonlinear	ADJ
ejpam-4551	36	6	operator	operator	NOUN
ejpam-4551	36	7	also	also	ADV
ejpam-4551	36	8	has	have	VERB
ejpam-4551	36	9	the	the	DET
ejpam-4551	36	10	form	form	NOUN
ejpam-4551	36	11	of	of	ADP
ejpam-4551	36	12	a	a	DET
ejpam-4551	36	13	series	series	NOUN
ejpam-4551	36	14	nu	nu	NOUN
ejpam-4551	36	15	=	=	PUNCT
ejpam-4551	37	1	∞∑	∞∑	PROPN
ejpam-4551	37	2	n=0	n=0	PROPN
ejpam-4551	37	3	an	an	NOUN
ejpam-4551	37	4	.	.	PUNCT
ejpam-4551	38	1	(	(	PUNCT
ejpam-4551	38	2	7	7	X
ejpam-4551	38	3	)	)	PUNCT
ejpam-4551	38	4	an	an	PRON
ejpam-4551	38	5	are	be	AUX
ejpam-4551	38	6	adomian	adomian	NOUN
ejpam-4551	38	7	polynomials	polynomial	NOUN
ejpam-4551	38	8	.	.	PUNCT
ejpam-4551	39	1	that	that	PRON
ejpam-4551	39	2	are	be	AUX
ejpam-4551	39	3	defined	define	VERB
ejpam-4551	39	4	by	by	ADP
ejpam-4551	39	5	the	the	DET
ejpam-4551	39	6	formula	formula	NOUN
ejpam-4551	40	1	[	[	X
ejpam-4551	40	2	5	5	NUM
ejpam-4551	40	3	]	]	X
ejpam-4551	40	4	:	:	PUNCT
ejpam-4551	40	5	an	an	DET
ejpam-4551	40	6	=	=	SYM
ejpam-4551	40	7	1	1	NUM
ejpam-4551	40	8	n	n	NOUN
ejpam-4551	40	9	!	!	PUNCT
ejpam-4551	41	1	[	[	PUNCT
ejpam-4551	41	2	dn	dn	PROPN
ejpam-4551	41	3	dλn	dλn	PROPN
ejpam-4551	41	4	n	n	CCONJ
ejpam-4551	41	5	(	(	PUNCT
ejpam-4551	41	6	+	+	ADJ
ejpam-4551	41	7	∞∑	∞∑	ADJ
ejpam-4551	41	8	i=0	i=0	ADJ
ejpam-4551	41	9	λiui	λiui	NOUN
ejpam-4551	41	10	)	)	PUNCT
ejpam-4551	41	11	]	]	PUNCT
ejpam-4551	42	1	λ=0	λ=0	X
ejpam-4551	42	2	,	,	PUNCT
ejpam-4551	42	3	n	n	PROPN
ejpam-4551	42	4	=	=	SYM
ejpam-4551	42	5	0	0	NUM
ejpam-4551	42	6	,	,	PUNCT
ejpam-4551	42	7	1	1	NUM
ejpam-4551	42	8	,	,	PUNCT
ejpam-4551	42	9	2	2	NUM
ejpam-4551	42	10	,	,	PUNCT
ejpam-4551	42	11	...	...	PUNCT
ejpam-4551	42	12	(	(	PUNCT
ejpam-4551	42	13	8)	8)	NUM
ejpam-4551	42	14	λ	λ	PROPN
ejpam-4551	42	15	is	be	AUX
ejpam-4551	42	16	a	a	DET
ejpam-4551	42	17	real	real	ADJ
ejpam-4551	42	18	parameter	parameter	NOUN
ejpam-4551	42	19	introduced	introduce	VERB
ejpam-4551	42	20	by	by	ADP
ejpam-4551	42	21	convenience	convenience	NOUN
ejpam-4551	42	22	then	then	ADV
ejpam-4551	42	23	we	we	PRON
ejpam-4551	42	24	obtain	obtain	VERB
ejpam-4551	42	25	∞∑	∞∑	PRON
ejpam-4551	42	26	n=0	n=0	NUM
ejpam-4551	42	27	un	un	NOUN
ejpam-4551	42	28	=	=	SYM
ejpam-4551	42	29	θ	θ	PROPN
ejpam-4551	42	30	+	+	CCONJ
ejpam-4551	42	31	l−1h	l−1h	ADJ
ejpam-4551	42	32	−	−	PROPN
ejpam-4551	42	33	l−1	l−1	PROPN
ejpam-4551	42	34	[	[	PUNCT
ejpam-4551	42	35	r	r	NOUN
ejpam-4551	42	36	(	(	PUNCT
ejpam-4551	42	37	∞∑	∞∑	PROPN
ejpam-4551	42	38	n=0	n=0	NUM
ejpam-4551	42	39	un	un	NOUN
ejpam-4551	42	40	)	)	PUNCT
ejpam-4551	42	41	]	]	PUNCT
ejpam-4551	43	1	−	−	PROPN
ejpam-4551	43	2	l−1	l−1	PROPN
ejpam-4551	43	3	[	[	PUNCT
ejpam-4551	43	4	∞∑	∞∑	PROPN
ejpam-4551	43	5	n=0	n=0	PROPN
ejpam-4551	43	6	an	an	PRON
ejpam-4551	43	7	]	]	PUNCT
ejpam-4551	43	8	.	.	PUNCT
ejpam-4551	44	1	(	(	PUNCT
ejpam-4551	44	2	9	9	X
ejpam-4551	44	3	)	)	PUNCT
ejpam-4551	44	4	assuming	assume	VERB
ejpam-4551	44	5	that	that	SCONJ
ejpam-4551	44	6	the	the	DET
ejpam-4551	44	7	∞∑	∞∑	PROPN
ejpam-4551	44	8	n=0	n=0	PROPN
ejpam-4551	44	9	un	un	PROPN
ejpam-4551	44	10	series	series	NOUN
ejpam-4551	44	11	and	and	CCONJ
ejpam-4551	44	12	∞∑	∞∑	PRON
ejpam-4551	44	13	n=0	n=0	NUM
ejpam-4551	44	14	an	an	DET
ejpam-4551	44	15	{	{	PUNCT
ejpam-4551	44	16	u0	u0	NOUN
ejpam-4551	44	17	=	=	PROPN
ejpam-4551	44	18	θ	θ	PROPN
ejpam-4551	44	19	+	+	CCONJ
ejpam-4551	44	20	l−1(h	l−1(h	PROPN
ejpam-4551	44	21	)	)	PUNCT
ejpam-4551	44	22	un+1	un+1	PROPN
ejpam-4551	44	23	=	=	SYM
ejpam-4551	44	24	−l−1	−l−1	NUM
ejpam-4551	44	25	[	[	X
ejpam-4551	44	26	r	r	X
ejpam-4551	44	27	(	(	PUNCT
ejpam-4551	44	28	un)]−	un)]−	PROPN
ejpam-4551	44	29	l−1	l−1	PROPN
ejpam-4551	44	30	(	(	PUNCT
ejpam-4551	44	31	an	an	NOUN
ejpam-4551	44	32	)	)	PUNCT
ejpam-4551	44	33	,	,	PUNCT
ejpam-4551	44	34	∀n	∀n	NUM
ejpam-4551	44	35	≥	≥	NOUN
ejpam-4551	44	36	0	0	NUM
ejpam-4551	44	37	(	(	PUNCT
ejpam-4551	44	38	10	10	NUM
ejpam-4551	44	39	)	)	PUNCT
ejpam-4551	44	40	equation	equation	NOUN
ejpam-4551	44	41	(	(	PUNCT
ejpam-4551	44	42	10	10	NUM
ejpam-4551	44	43	)	)	PUNCT
ejpam-4551	44	44	allows	allow	VERB
ejpam-4551	44	45	to	to	PART
ejpam-4551	44	46	compute	compute	VERB
ejpam-4551	44	47	all	all	DET
ejpam-4551	44	48	un	un	PROPN
ejpam-4551	44	49	recursively	recursively	ADV
ejpam-4551	44	50	,	,	PUNCT
ejpam-4551	44	51	then	then	ADV
ejpam-4551	44	52	the	the	DET
ejpam-4551	44	53	analytical	analytical	ADJ
ejpam-4551	44	54	solution	solution	NOUN
ejpam-4551	44	55	of	of	ADP
ejpam-4551	44	56	(	(	PUNCT
ejpam-4551	44	57	2	2	NUM
ejpam-4551	44	58	)	)	PUNCT
ejpam-4551	44	59	is	be	AUX
ejpam-4551	44	60	defined	define	VERB
ejpam-4551	44	61	by	by	ADP
ejpam-4551	44	62	the	the	DET
ejpam-4551	44	63	sum	sum	NOUN
ejpam-4551	44	64	of	of	ADP
ejpam-4551	44	65	un	un	PROPN
ejpam-4551	44	66	:	:	PUNCT
ejpam-4551	44	67	u	u	SYM
ejpam-4551	44	68	=	=	PUNCT
ejpam-4551	44	69	∞∑	∞∑	PROPN
ejpam-4551	44	70	n=0	n=0	NUM
ejpam-4551	44	71	un	un	NOUN
ejpam-4551	44	72	(	(	PUNCT
ejpam-4551	44	73	11	11	NUM
ejpam-4551	44	74	)	)	PUNCT
ejpam-4551	44	75	if	if	SCONJ
ejpam-4551	44	76	φn	φn	ADP
ejpam-4551	44	77	=	=	VERB
ejpam-4551	44	78	n−1∑	n−1∑	PROPN
ejpam-4551	44	79	n=0	n=0	NUM
ejpam-4551	44	80	un	un	PROPN
ejpam-4551	44	81	is	be	AUX
ejpam-4551	44	82	the	the	DET
ejpam-4551	44	83	truncated	truncated	ADJ
ejpam-4551	44	84	series	series	NOUN
ejpam-4551	44	85	,	,	PUNCT
ejpam-4551	44	86	and	and	CCONJ
ejpam-4551	44	87	if	if	SCONJ
ejpam-4551	44	88	∞∑	∞∑	PRON
ejpam-4551	44	89	n=0	n=0	NUM
ejpam-4551	44	90	un	un	NOUN
ejpam-4551	44	91	is	be	AUX
ejpam-4551	44	92	convergent	convergent	ADJ
ejpam-4551	44	93	,	,	PUNCT
ejpam-4551	44	94	we	we	PRON
ejpam-4551	44	95	have	have	VERB
ejpam-4551	44	96	:	:	PUNCT
ejpam-4551	45	1	u	u	PROPN
ejpam-4551	45	2	=	=	PROPN
ejpam-4551	45	3	lim	lim	PROPN
ejpam-4551	45	4	n→+∞	n→+∞	VERB
ejpam-4551	45	5	φn	φn	PROPN
ejpam-4551	45	6	(	(	PUNCT
ejpam-4551	45	7	12	12	NUM
ejpam-4551	45	8	)	)	PUNCT
ejpam-4551	45	9	y.	y.	NOUN
ejpam-4551	45	10	a.	a.	PROPN
ejpam-4551	45	11	s.	s.	PROPN
ejpam-4551	45	12	wellot	wellot	PROPN
ejpam-4551	45	13	,	,	PUNCT
ejpam-4551	45	14	g.	g.	PROPN
ejpam-4551	45	15	d.	d.	PROPN
ejpam-4551	45	16	nkaya	nkaya	PROPN
ejpam-4551	45	17	/	/	SYM
ejpam-4551	45	18	eur	eur	PROPN
ejpam-4551	45	19	.	.	PUNCT
ejpam-4551	46	1	j.	j.	PROPN
ejpam-4551	46	2	pure	pure	PROPN
ejpam-4551	46	3	appl	appl	PROPN
ejpam-4551	46	4	.	.	PROPN
ejpam-4551	46	5	math	math	PROPN
ejpam-4551	46	6	,	,	PUNCT
ejpam-4551	46	7	15	15	NUM
ejpam-4551	46	8	(	(	PUNCT
ejpam-4551	46	9	4	4	NUM
ejpam-4551	46	10	)	)	PUNCT
ejpam-4551	46	11	(	(	PUNCT
ejpam-4551	46	12	2022	2022	NUM
ejpam-4551	46	13	)	)	PUNCT
ejpam-4551	46	14	,	,	PUNCT
ejpam-4551	46	15	1750	1750	NUM
ejpam-4551	46	16	-	-	SYM
ejpam-4551	46	17	1759	1759	NUM
ejpam-4551	46	18	1753	1753	NUM
ejpam-4551	46	19	4	4	NUM
ejpam-4551	46	20	.	.	PUNCT
ejpam-4551	46	21	application	application	NOUN
ejpam-4551	46	22	4.1	4.1	NUM
ejpam-4551	46	23	.	.	PUNCT
ejpam-4551	47	1	problem	problem	NOUN
ejpam-4551	47	2	1	1	NUM
ejpam-4551	47	3	we	we	PRON
ejpam-4551	47	4	consider	consider	VERB
ejpam-4551	47	5	the	the	DET
ejpam-4551	47	6	following	follow	VERB
ejpam-4551	47	7	initial	initial	ADJ
ejpam-4551	47	8	value	value	NOUN
ejpam-4551	47	9	problem	problem	NOUN
ejpam-4551	48	1	[	[	X
ejpam-4551	48	2	11	11	NUM
ejpam-4551	48	3	]	]	NUM
ejpam-4551	48	4	:	:	PUNCT
ejpam-4551	48	5			PUNCT
ejpam-4551	48	6	∂u(x	∂u(x	PROPN
ejpam-4551	48	7	,	,	PUNCT
ejpam-4551	48	8	t	t	PROPN
ejpam-4551	48	9	)	)	PUNCT
ejpam-4551	48	10	∂t	∂t	PROPN
ejpam-4551	48	11	−	−	PROPN
ejpam-4551	48	12	(	(	PUNCT
ejpam-4551	48	13	1	1	NUM
ejpam-4551	48	14	+	+	NUM
ejpam-4551	48	15	i	i	NOUN
ejpam-4551	48	16	)	)	PUNCT
ejpam-4551	48	17	∂2u(x	∂2u(x	PROPN
ejpam-4551	48	18	,	,	PUNCT
ejpam-4551	48	19	t	t	NOUN
ejpam-4551	48	20	)	)	PUNCT
ejpam-4551	48	21	∂x2	∂x2	NOUN
ejpam-4551	48	22	+	+	CCONJ
ejpam-4551	48	23	(	(	PUNCT
ejpam-4551	48	24	1	1	NUM
ejpam-4551	48	25	+	+	NUM
ejpam-4551	48	26	2i)|u(x	2i)|u(x	NUM
ejpam-4551	48	27	,	,	PUNCT
ejpam-4551	48	28	t)|2u(x	t)|2u(x	ADP
ejpam-4551	48	29	,	,	PUNCT
ejpam-4551	48	30	t)−	t)−	PROPN
ejpam-4551	48	31	3u(x	3u(x	PROPN
ejpam-4551	48	32	,	,	PUNCT
ejpam-4551	48	33	t	t	PROPN
ejpam-4551	48	34	)	)	PUNCT
ejpam-4551	48	35	+	+	CCONJ
ejpam-4551	48	36	(	(	PUNCT
ejpam-4551	48	37	1−	1−	NUM
ejpam-4551	48	38	4i)|u(x	4i)|u(x	NUM
ejpam-4551	48	39	,	,	PUNCT
ejpam-4551	48	40	t)|4u(x	t)|4u(x	X
ejpam-4551	48	41	,	,	PUNCT
ejpam-4551	48	42	t	t	NOUN
ejpam-4551	48	43	)	)	PUNCT
ejpam-4551	48	44	=	=	SYM
ejpam-4551	48	45	0	0	NUM
ejpam-4551	48	46	u(x	u(x	NOUN
ejpam-4551	48	47	,	,	PUNCT
ejpam-4551	48	48	0	0	NUM
ejpam-4551	48	49	)	)	PUNCT
ejpam-4551	48	50	=	=	SYM
ejpam-4551	48	51	eix	eix	PROPN
ejpam-4551	48	52	,	,	PUNCT
ejpam-4551	48	53	(	(	PUNCT
ejpam-4551	48	54	13	13	NUM
ejpam-4551	48	55	)	)	PUNCT
ejpam-4551	48	56	with	with	ADP
ejpam-4551	48	57	u(x	u(x	PROPN
ejpam-4551	48	58	,	,	PUNCT
ejpam-4551	48	59	t	t	PROPN
ejpam-4551	48	60	)	)	PUNCT
ejpam-4551	48	61	a	a	DET
ejpam-4551	48	62	complex	complex	ADJ
ejpam-4551	48	63	function	function	NOUN
ejpam-4551	48	64	.	.	PUNCT
ejpam-4551	49	1	notation	notation	NOUN
ejpam-4551	49	2	:	:	PUNCT
ejpam-4551	49	3	|u|2	|u|2	PROPN
ejpam-4551	49	4	=	=	SYM
ejpam-4551	49	5	uu	uu	PROPN
ejpam-4551	49	6	;	;	PUNCT
ejpam-4551	49	7	⇒	⇒	NOUN
ejpam-4551	49	8	|u|2u	|u|2u	NOUN
ejpam-4551	49	9	=	=	PUNCT
ejpam-4551	50	1	u2u	u2u	ADJ
ejpam-4551	50	2	|u|4	|u|4	ADJ
ejpam-4551	50	3	=	=	SYM
ejpam-4551	50	4	u2u2	u2u2	NOUN
ejpam-4551	50	5	⇒	⇒	X
ejpam-4551	50	6	|u|4u	|u|4u	NOUN
ejpam-4551	50	7	=	=	SYM
ejpam-4551	50	8	u3u2	u3u2	PROPN
ejpam-4551	50	9	the	the	DET
ejpam-4551	50	10	adomian	adomian	NOUN
ejpam-4551	50	11	decomposition	decomposition	NOUN
ejpam-4551	50	12	method	method	NOUN
ejpam-4551	50	13	consists	consist	VERB
ejpam-4551	50	14	to	to	PART
ejpam-4551	50	15	look	look	VERB
ejpam-4551	50	16	the	the	DET
ejpam-4551	50	17	solution	solution	NOUN
ejpam-4551	50	18	of	of	ADP
ejpam-4551	50	19	u(x	u(x	NOUN
ejpam-4551	50	20	,	,	PUNCT
ejpam-4551	50	21	t	t	PROPN
ejpam-4551	50	22	)	)	PUNCT
ejpam-4551	50	23	in	in	ADP
ejpam-4551	50	24	the	the	DET
ejpam-4551	50	25	form	form	NOUN
ejpam-4551	50	26	:	:	PUNCT
ejpam-4551	50	27	u(x	u(x	PROPN
ejpam-4551	50	28	,	,	PUNCT
ejpam-4551	50	29	t	t	NOUN
ejpam-4551	50	30	)	)	PUNCT
ejpam-4551	50	31	=	=	SYM
ejpam-4551	50	32	u(x	u(x	NOUN
ejpam-4551	50	33	,	,	PUNCT
ejpam-4551	50	34	0	0	NUM
ejpam-4551	50	35	)	)	PUNCT
ejpam-4551	51	1	+	+	CCONJ
ejpam-4551	51	2	(	(	PUNCT
ejpam-4551	51	3	1	1	X
ejpam-4551	51	4	+	+	NUM
ejpam-4551	51	5	i	i	NOUN
ejpam-4551	51	6	)	)	PUNCT
ejpam-4551	51	7	∫	∫	PROPN
ejpam-4551	51	8	t	t	PROPN
ejpam-4551	51	9	0	0	NUM
ejpam-4551	51	10	∂2u(x	∂2u(x	PROPN
ejpam-4551	51	11	,	,	PUNCT
ejpam-4551	51	12	s	s	NOUN
ejpam-4551	51	13	)	)	PUNCT
ejpam-4551	51	14	∂x2	∂x2	NOUN
ejpam-4551	51	15	ds−	ds−	NOUN
ejpam-4551	51	16	(	(	PUNCT
ejpam-4551	51	17	1	1	NUM
ejpam-4551	51	18	+	+	NUM
ejpam-4551	51	19	2i	2i	NUM
ejpam-4551	51	20	)	)	PUNCT
ejpam-4551	51	21	∫	∫	PROPN
ejpam-4551	52	1	t	t	NOUN
ejpam-4551	52	2	0	0	NUM
ejpam-4551	53	1	|u(x	|u(x	NOUN
ejpam-4551	53	2	,	,	PUNCT
ejpam-4551	53	3	s)|2u(x	s)|2u(x	ADV
ejpam-4551	53	4	,	,	PUNCT
ejpam-4551	53	5	s)ds+	s)ds+	NOUN
ejpam-4551	53	6	3	3	NUM
ejpam-4551	53	7	∫	∫	NOUN
ejpam-4551	53	8	t	t	PROPN
ejpam-4551	53	9	0	0	NUM
ejpam-4551	53	10	u(x	u(x	PROPN
ejpam-4551	53	11	,	,	PUNCT
ejpam-4551	53	12	s)ds−	s)ds−	PROPN
ejpam-4551	53	13	(	(	PUNCT
ejpam-4551	53	14	1−	1−	NUM
ejpam-4551	53	15	4i	4i	NUM
ejpam-4551	53	16	)	)	PUNCT
ejpam-4551	53	17	∫	∫	PROPN
ejpam-4551	54	1	t	t	NOUN
ejpam-4551	54	2	0	0	X
ejpam-4551	55	1	|u(x	|u(x	NOUN
ejpam-4551	55	2	,	,	PUNCT
ejpam-4551	55	3	s)|4u(x	s)|4u(x	PRON
ejpam-4551	55	4	,	,	PUNCT
ejpam-4551	55	5	s)ds	s)ds	PROPN
ejpam-4551	55	6	(	(	PUNCT
ejpam-4551	55	7	14	14	NUM
ejpam-4551	55	8	)	)	PUNCT
ejpam-4551	55	9	let	let	VERB
ejpam-4551	55	10	’s	’s	NOUN
ejpam-4551	55	11	look	look	VERB
ejpam-4551	55	12	for	for	ADP
ejpam-4551	55	13	the	the	DET
ejpam-4551	55	14	solution	solution	NOUN
ejpam-4551	55	15	in	in	ADP
ejpam-4551	55	16	the	the	DET
ejpam-4551	55	17	following	follow	VERB
ejpam-4551	55	18	form	form	NOUN
ejpam-4551	55	19	:	:	PUNCT
ejpam-4551	55	20	u(x	u(x	PROPN
ejpam-4551	55	21	,	,	PUNCT
ejpam-4551	55	22	t	t	NOUN
ejpam-4551	55	23	)	)	PUNCT
ejpam-4551	55	24	=	=	PUNCT
ejpam-4551	56	1	+	+	ADP
ejpam-4551	56	2	∞∑	∞∑	PRON
ejpam-4551	56	3	n=0	n=0	PROPN
ejpam-4551	56	4	un(x	un(x	NUM
ejpam-4551	56	5	,	,	PUNCT
ejpam-4551	56	6	t	t	PROPN
ejpam-4551	56	7	)	)	PUNCT
ejpam-4551	56	8	(	(	PUNCT
ejpam-4551	56	9	15	15	NUM
ejpam-4551	56	10	)	)	PUNCT
ejpam-4551	56	11	with	with	ADP
ejpam-4551	56	12	n	n	NOUN
ejpam-4551	56	13	=	=	SYM
ejpam-4551	56	14	n1	n1	PROPN
ejpam-4551	56	15	+	+	NOUN
ejpam-4551	56	16	n2	n2	ADJ
ejpam-4551	56	17	,	,	PUNCT
ejpam-4551	56	18	and	and	CCONJ
ejpam-4551	56	19	let	let	VERB
ejpam-4551	56	20	us	we	PRON
ejpam-4551	56	21	note	note	VERB
ejpam-4551	56	22	n1u	n1u	NOUN
ejpam-4551	56	23	=	=	SYM
ejpam-4551	57	1	|u(x	|u(x	NOUN
ejpam-4551	57	2	,	,	PUNCT
ejpam-4551	57	3	t)|2u(x	t)|2u(x	ADP
ejpam-4551	57	4	,	,	PUNCT
ejpam-4551	57	5	t	t	PROPN
ejpam-4551	57	6	)	)	PUNCT
ejpam-4551	57	7	n2u	n2u	NOUN
ejpam-4551	58	1	=	=	SYM
ejpam-4551	59	1	|u(x	|u(x	PROPN
ejpam-4551	59	2	,	,	PUNCT
ejpam-4551	59	3	t)|4u(x	t)|4u(x	X
ejpam-4551	59	4	,	,	PUNCT
ejpam-4551	59	5	t	t	PROPN
ejpam-4551	59	6	)	)	PUNCT
ejpam-4551	59	7	}	}	PUNCT
ejpam-4551	59	8	(	(	PUNCT
ejpam-4551	59	9	16	16	NUM
ejpam-4551	59	10	)	)	PUNCT
ejpam-4551	59	11	suppose	suppose	VERB
ejpam-4551	59	12	that	that	SCONJ
ejpam-4551	59	13	n1u	n1u	PROPN
ejpam-4551	59	14	=	=	PRON
ejpam-4551	59	15	∞∑	∞∑	PRON
ejpam-4551	59	16	n=0	n=0	NUM
ejpam-4551	59	17	an(x	an(x	NUM
ejpam-4551	59	18	,	,	PUNCT
ejpam-4551	59	19	t	t	PROPN
ejpam-4551	59	20	)	)	PUNCT
ejpam-4551	59	21	and	and	CCONJ
ejpam-4551	59	22	n2u	n2u	NOUN
ejpam-4551	59	23	=	=	SYM
ejpam-4551	59	24	∞∑	∞∑	PRON
ejpam-4551	59	25	n=0	n=0	NUM
ejpam-4551	59	26	bn(x	bn(x	NUM
ejpam-4551	59	27	,	,	PUNCT
ejpam-4551	59	28	t	t	X
ejpam-4551	59	29	)	)	PUNCT
ejpam-4551	59	30			NOUN
ejpam-4551	59	31	(	(	PUNCT
ejpam-4551	59	32	17	17	NUM
ejpam-4551	59	33	)	)	PUNCT
ejpam-4551	59	34	with	with	ADP
ejpam-4551	59	35	an	an	PRON
ejpam-4551	59	36	=	=	SYM
ejpam-4551	59	37	1	1	NUM
ejpam-4551	59	38	n	n	CCONJ
ejpam-4551	59	39	!	!	NOUN
ejpam-4551	59	40			NOUN
ejpam-4551	59	41	dn	dn	PROPN
ejpam-4551	59	42	dλn	dλn	PROPN
ejpam-4551	59	43	n1	n1	PROPN
ejpam-4551	59	44	+∞∑	+∞∑	NOUN
ejpam-4551	59	45	j=0	j=0	PROPN
ejpam-4551	59	46	λjuj	λjuj	INTJ
ejpam-4551	59	47			PROPN
ejpam-4551	59	48	λ=0	λ=0	PROPN
ejpam-4551	59	49	,	,	PUNCT
ejpam-4551	59	50	n	n	PROPN
ejpam-4551	59	51	=	=	SYM
ejpam-4551	59	52	0	0	NUM
ejpam-4551	59	53	,	,	PUNCT
ejpam-4551	59	54	1	1	NUM
ejpam-4551	59	55	,	,	PUNCT
ejpam-4551	59	56	2	2	NUM
ejpam-4551	59	57	,	,	PUNCT
ejpam-4551	59	58	...	...	PUNCT
ejpam-4551	59	59	(	(	PUNCT
ejpam-4551	59	60	18	18	NUM
ejpam-4551	59	61	)	)	PUNCT
ejpam-4551	59	62	y.	y.	NOUN
ejpam-4551	59	63	a.	a.	PROPN
ejpam-4551	59	64	s.	s.	PROPN
ejpam-4551	59	65	wellot	wellot	PROPN
ejpam-4551	59	66	,	,	PUNCT
ejpam-4551	59	67	g.	g.	PROPN
ejpam-4551	59	68	d.	d.	PROPN
ejpam-4551	59	69	nkaya	nkaya	PROPN
ejpam-4551	59	70	/	/	SYM
ejpam-4551	59	71	eur	eur	PROPN
ejpam-4551	59	72	.	.	PUNCT
ejpam-4551	60	1	j.	j.	PROPN
ejpam-4551	60	2	pure	pure	PROPN
ejpam-4551	60	3	appl	appl	PROPN
ejpam-4551	60	4	.	.	PROPN
ejpam-4551	60	5	math	math	PROPN
ejpam-4551	60	6	,	,	PUNCT
ejpam-4551	60	7	15	15	NUM
ejpam-4551	60	8	(	(	PUNCT
ejpam-4551	60	9	4	4	NUM
ejpam-4551	60	10	)	)	PUNCT
ejpam-4551	60	11	(	(	PUNCT
ejpam-4551	60	12	2022	2022	NUM
ejpam-4551	60	13	)	)	PUNCT
ejpam-4551	60	14	,	,	PUNCT
ejpam-4551	60	15	1750	1750	NUM
ejpam-4551	60	16	-	-	SYM
ejpam-4551	60	17	1759	1759	NUM
ejpam-4551	60	18	1754	1754	NUM
ejpam-4551	60	19	and	and	CCONJ
ejpam-4551	60	20	bn	bn	NOUN
ejpam-4551	60	21	=	=	SYM
ejpam-4551	60	22	1	1	NUM
ejpam-4551	60	23	n	n	CCONJ
ejpam-4551	60	24	!	!	NOUN
ejpam-4551	61	1			NOUN
ejpam-4551	61	2	dn	dn	PROPN
ejpam-4551	61	3	dλn	dλn	PROPN
ejpam-4551	61	4	n2	n2	PROPN
ejpam-4551	61	5	+∞∑	+∞∑	PROPN
ejpam-4551	61	6	j=0	j=0	PROPN
ejpam-4551	61	7	λjuj	λjuj	PUNCT
ejpam-4551	62	1			PROPN
ejpam-4551	62	2	λ=0	λ=0	PROPN
ejpam-4551	62	3	,	,	PUNCT
ejpam-4551	62	4	n	n	PROPN
ejpam-4551	62	5	=	=	SYM
ejpam-4551	62	6	0	0	NUM
ejpam-4551	62	7	,	,	PUNCT
ejpam-4551	62	8	1	1	NUM
ejpam-4551	62	9	,	,	PUNCT
ejpam-4551	62	10	2	2	NUM
ejpam-4551	62	11	,	,	PUNCT
ejpam-4551	62	12	...	...	PUNCT
ejpam-4551	62	13	(	(	PUNCT
ejpam-4551	62	14	19	19	NUM
ejpam-4551	62	15	)	)	PUNCT
ejpam-4551	62	16	λ	λ	NOUN
ejpam-4551	62	17	is	be	AUX
ejpam-4551	62	18	a	a	DET
ejpam-4551	62	19	real	real	ADJ
ejpam-4551	62	20	parameter	parameter	NOUN
ejpam-4551	62	21	introduced	introduce	VERB
ejpam-4551	62	22	by	by	ADP
ejpam-4551	62	23	convenience	convenience	NOUN
ejpam-4551	62	24	,	,	PUNCT
ejpam-4551	62	25	we	we	PRON
ejpam-4551	62	26	obtain	obtain	VERB
ejpam-4551	62	27	the	the	DET
ejpam-4551	62	28	following	follow	VERB
ejpam-4551	62	29	adomian	adomian	NOUN
ejpam-4551	62	30	polynomials	polynomial	NOUN
ejpam-4551	62	31	:	:	PUNCT
ejpam-4551	62	32	an	an	DET
ejpam-4551	62	33	=	=	SYM
ejpam-4551	62	34	1	1	NUM
ejpam-4551	62	35	n	n	NOUN
ejpam-4551	62	36	!	!	PUNCT
ejpam-4551	62	37	dn	dn	PROPN
ejpam-4551	62	38	dλn	dλn	PROPN
ejpam-4551	62	39			NOUN
ejpam-4551	62	40	(	(	PUNCT
ejpam-4551	62	41	+	+	ADJ
ejpam-4551	62	42	∞∑	∞∑	ADJ
ejpam-4551	62	43	i=0	i=0	ADJ
ejpam-4551	62	44	λiui	λiui	NOUN
ejpam-4551	62	45	)	)	PUNCT
ejpam-4551	62	46	2	2	NUM
ejpam-4551	62	47	(	(	PUNCT
ejpam-4551	62	48	+	+	ADP
ejpam-4551	62	49	∞∑	∞∑	NUM
ejpam-4551	62	50	j=0	j=0	ADJ
ejpam-4551	62	51	λjuj	λjuj	NOUN
ejpam-4551	62	52	)	)	PUNCT
ejpam-4551	63	1			NUM
ejpam-4551	63	2	λ=0	λ=0	SYM
ejpam-4551	63	3	(	(	PUNCT
ejpam-4551	63	4	20	20	NUM
ejpam-4551	63	5	)	)	PUNCT
ejpam-4551	63	6	and	and	CCONJ
ejpam-4551	63	7	bn	bn	NOUN
ejpam-4551	63	8	=	=	SYM
ejpam-4551	63	9	1	1	NUM
ejpam-4551	63	10	n	n	NOUN
ejpam-4551	63	11	!	!	PUNCT
ejpam-4551	64	1	dn	dn	PROPN
ejpam-4551	64	2	dλn	dλn	PROPN
ejpam-4551	64	3			NOUN
ejpam-4551	65	1	(	(	PUNCT
ejpam-4551	65	2	+	+	ADJ
ejpam-4551	65	3	∞∑	∞∑	ADJ
ejpam-4551	65	4	i=0	i=0	ADJ
ejpam-4551	65	5	λiui	λiui	NOUN
ejpam-4551	65	6	)	)	PUNCT
ejpam-4551	65	7	3	3	NUM
ejpam-4551	65	8	(	(	PUNCT
ejpam-4551	65	9	+	+	ADP
ejpam-4551	65	10	∞∑	∞∑	NUM
ejpam-4551	65	11	j=0	j=0	ADJ
ejpam-4551	65	12	λjuj	λjuj	NOUN
ejpam-4551	65	13	)	)	PUNCT
ejpam-4551	65	14	2	2	NUM
ejpam-4551	65	15			NOUN
ejpam-4551	65	16	λ=0	λ=0	X
ejpam-4551	65	17	(	(	PUNCT
ejpam-4551	65	18	21	21	NUM
ejpam-4551	65	19	)	)	PUNCT
ejpam-4551	65	20	this	this	PRON
ejpam-4551	65	21	gives	give	VERB
ejpam-4551	65	22	a0	a0	NOUN
ejpam-4551	65	23	=	=	SYM
ejpam-4551	65	24	u20u0	u20u0	PROPN
ejpam-4551	65	25	.	.	PUNCT
ejpam-4551	66	1	(	(	PUNCT
ejpam-4551	66	2	22	22	NUM
ejpam-4551	66	3	)	)	PUNCT
ejpam-4551	66	4	a1	a1	NOUN
ejpam-4551	66	5	=	=	PUNCT
ejpam-4551	66	6	u20u1	u20u1	PROPN
ejpam-4551	66	7	+	+	ADJ
ejpam-4551	66	8	2u0u1u0	2u0u1u0	NUM
ejpam-4551	66	9	.	.	PUNCT
ejpam-4551	67	1	(	(	PUNCT
ejpam-4551	67	2	23	23	NUM
ejpam-4551	67	3	)	)	PUNCT
ejpam-4551	67	4	a2	a2	PROPN
ejpam-4551	67	5	=	=	SYM
ejpam-4551	67	6	u20u2	u20u2	PROPN
ejpam-4551	68	1	+	+	NOUN
ejpam-4551	68	2	2u0u0u2	2u0u0u2	NUM
ejpam-4551	68	3	+	+	NUM
ejpam-4551	68	4	2u1u1u0	2u1u1u0	NUM
ejpam-4551	68	5	+	+	NUM
ejpam-4551	68	6	u21u0	u21u0	NOUN
ejpam-4551	68	7	.	.	PUNCT
ejpam-4551	69	1	(	(	PUNCT
ejpam-4551	69	2	24	24	NUM
ejpam-4551	69	3	)	)	PUNCT
ejpam-4551	69	4	a3	a3	NOUN
ejpam-4551	69	5	=	=	PUNCT
ejpam-4551	69	6	u20u3	u20u3	PROPN
ejpam-4551	70	1	+	+	CCONJ
ejpam-4551	70	2	2u0u0u3	2u0u0u3	NUM
ejpam-4551	70	3	+	+	CCONJ
ejpam-4551	70	4	2u0u1u2	2u0u1u2	NUM
ejpam-4551	70	5	+	+	CCONJ
ejpam-4551	70	6	2u0u1u2	2u0u1u2	NUM
ejpam-4551	70	7	+	+	CCONJ
ejpam-4551	70	8	2u0u1u2	2u0u1u2	NUM
ejpam-4551	70	9	+	+	CCONJ
ejpam-4551	70	10	u21u1	u21u1	PROPN
ejpam-4551	70	11	.	.	PUNCT
ejpam-4551	71	1	(	(	PUNCT
ejpam-4551	71	2	25	25	NUM
ejpam-4551	71	3	)	)	PUNCT
ejpam-4551	71	4	and	and	CCONJ
ejpam-4551	71	5	b0	b0	NOUN
ejpam-4551	71	6	=	=	PUNCT
ejpam-4551	71	7	u30u0	u30u0	PROPN
ejpam-4551	71	8	2	2	NUM
ejpam-4551	71	9	.	.	PUNCT
ejpam-4551	72	1	(	(	PUNCT
ejpam-4551	72	2	26	26	NUM
ejpam-4551	72	3	)	)	PUNCT
ejpam-4551	72	4	b1	b1	NOUN
ejpam-4551	72	5	=	=	SYM
ejpam-4551	72	6	3u1u	3u1u	NUM
ejpam-4551	72	7	2	2	NUM
ejpam-4551	72	8	0u	0u	ADJ
ejpam-4551	72	9	2	2	NUM
ejpam-4551	72	10	0	0	NUM
ejpam-4551	73	1	+	+	CCONJ
ejpam-4551	73	2	2u30u1u0	2u30u1u0	NUM
ejpam-4551	73	3	.	.	PUNCT
ejpam-4551	74	1	(	(	PUNCT
ejpam-4551	74	2	27	27	NUM
ejpam-4551	74	3	)	)	PUNCT
ejpam-4551	74	4	b2	b2	NOUN
ejpam-4551	74	5	=	=	SYM
ejpam-4551	74	6	3u2u	3u2u	NUM
ejpam-4551	74	7	2	2	NUM
ejpam-4551	74	8	0u	0u	ADJ
ejpam-4551	74	9	2	2	NUM
ejpam-4551	74	10	0	0	NUM
ejpam-4551	75	1	+	+	CCONJ
ejpam-4551	75	2	3u21u0u	3u21u0u	NUM
ejpam-4551	75	3	2	2	NUM
ejpam-4551	75	4	0	0	NUM
ejpam-4551	76	1	+	+	CCONJ
ejpam-4551	76	2	6u1u	6u1u	NUM
ejpam-4551	76	3	2	2	NUM
ejpam-4551	76	4	0u1u0	0u1u0	NOUN
ejpam-4551	77	1	+	+	CCONJ
ejpam-4551	77	2	2u30u2u0	2u30u2u0	NUM
ejpam-4551	77	3	+	+	CCONJ
ejpam-4551	77	4	u30u	u30u	PROPN
ejpam-4551	77	5	2	2	NUM
ejpam-4551	77	6	1	1	NUM
ejpam-4551	77	7	.	.	PUNCT
ejpam-4551	78	1	(	(	PUNCT
ejpam-4551	78	2	28	28	NUM
ejpam-4551	78	3	)	)	PUNCT
ejpam-4551	78	4	the	the	DET
ejpam-4551	78	5	equation	equation	NOUN
ejpam-4551	78	6	of	of	ADP
ejpam-4551	78	7	problem	problem	NOUN
ejpam-4551	78	8	(	(	PUNCT
ejpam-4551	78	9	1	1	NUM
ejpam-4551	78	10	)	)	PUNCT
ejpam-4551	78	11	,	,	PUNCT
ejpam-4551	78	12	becomes	become	VERB
ejpam-4551	78	13	:	:	PUNCT
ejpam-4551	78	14	+	+	ADP
ejpam-4551	78	15	∞∑	∞∑	PRON
ejpam-4551	78	16	n=0	n=0	NUM
ejpam-4551	78	17	un(x	un(x	NUM
ejpam-4551	78	18	,	,	PUNCT
ejpam-4551	78	19	t	t	PROPN
ejpam-4551	78	20	)	)	PUNCT
ejpam-4551	78	21	=	=	SYM
ejpam-4551	78	22	u(x	u(x	NOUN
ejpam-4551	78	23	,	,	PUNCT
ejpam-4551	78	24	0	0	NUM
ejpam-4551	78	25	)	)	PUNCT
ejpam-4551	79	1	+	+	CCONJ
ejpam-4551	79	2	(	(	PUNCT
ejpam-4551	79	3	1	1	NUM
ejpam-4551	79	4	+	+	NUM
ejpam-4551	79	5	i	i	NOUN
ejpam-4551	79	6	)	)	PUNCT
ejpam-4551	80	1	+	+	ADP
ejpam-4551	80	2	∞∑	∞∑	PRON
ejpam-4551	80	3	n=0	n=0	NUM
ejpam-4551	80	4	∫	∫	NOUN
ejpam-4551	80	5	t	t	NOUN
ejpam-4551	80	6	0	0	NUM
ejpam-4551	80	7	∂2un(x	∂2un(x	PROPN
ejpam-4551	80	8	,	,	PUNCT
ejpam-4551	80	9	s	s	NOUN
ejpam-4551	80	10	)	)	PUNCT
ejpam-4551	80	11	∂x2	∂x2	NOUN
ejpam-4551	80	12	ds−	ds−	NOUN
ejpam-4551	80	13	(	(	PUNCT
ejpam-4551	80	14	1	1	NUM
ejpam-4551	80	15	+	+	NUM
ejpam-4551	80	16	2i	2i	NUM
ejpam-4551	80	17	)	)	PUNCT
ejpam-4551	81	1	+	+	SCONJ
ejpam-4551	81	2	∞∑	∞∑	PRON
ejpam-4551	81	3	n=0	n=0	NUM
ejpam-4551	81	4	∫	∫	NOUN
ejpam-4551	81	5	t	t	NOUN
ejpam-4551	81	6	0	0	NUM
ejpam-4551	81	7	an(x	an(x	NUM
ejpam-4551	81	8	,	,	PUNCT
ejpam-4551	81	9	s)ds+	s)ds+	NOUN
ejpam-4551	81	10	3	3	NUM
ejpam-4551	81	11	+	+	ADP
ejpam-4551	81	12	∞∑	∞∑	NUM
ejpam-4551	81	13	n=0	n=0	NUM
ejpam-4551	81	14	∫	∫	NOUN
ejpam-4551	81	15	t	t	PROPN
ejpam-4551	81	16	0	0	NUM
ejpam-4551	81	17	un(x	un(x	PROPN
ejpam-4551	81	18	,	,	PUNCT
ejpam-4551	81	19	s)ds−	s)ds−	PROPN
ejpam-4551	81	20	(	(	PUNCT
ejpam-4551	81	21	1−	1−	NUM
ejpam-4551	81	22	4i	4i	NUM
ejpam-4551	81	23	)	)	PUNCT
ejpam-4551	82	1	+	+	ADP
ejpam-4551	82	2	∞∑	∞∑	PRON
ejpam-4551	82	3	n=0	n=0	NUM
ejpam-4551	82	4	∫	∫	NOUN
ejpam-4551	82	5	t	t	PROPN
ejpam-4551	82	6	0	0	NUM
ejpam-4551	82	7	bn(x	bn(x	NUM
ejpam-4551	82	8	,	,	PUNCT
ejpam-4551	82	9	s)ds	s)ds	PROPN
ejpam-4551	82	10	.	.	PROPN
ejpam-4551	83	1	(	(	PUNCT
ejpam-4551	83	2	29	29	NUM
ejpam-4551	83	3	)	)	PUNCT
ejpam-4551	83	4	from	from	ADP
ejpam-4551	83	5	the	the	DET
ejpam-4551	83	6	above	above	ADJ
ejpam-4551	83	7	equation	equation	NOUN
ejpam-4551	83	8	(	(	PUNCT
ejpam-4551	83	9	4.1	4.1	NUM
ejpam-4551	83	10	)	)	PUNCT
ejpam-4551	83	11	we	we	PRON
ejpam-4551	83	12	get	get	VERB
ejpam-4551	83	13	the	the	DET
ejpam-4551	83	14	adomian	adomian	NOUN
ejpam-4551	83	15	canonical	canonical	ADJ
ejpam-4551	83	16	form	form	NOUN
ejpam-4551	83	17	.	.	PUNCT
ejpam-4551	84	1	this	this	PRON
ejpam-4551	84	2	leads	lead	VERB
ejpam-4551	84	3	us	we	PRON
ejpam-4551	84	4	to	to	PART
ejpam-4551	84	5	obtain	obtain	VERB
ejpam-4551	84	6	the	the	DET
ejpam-4551	84	7	following	following	ADJ
ejpam-4551	84	8	adomian	adomian	NOUN
ejpam-4551	84	9	algorithm	algorithm	NOUN
ejpam-4551	84	10	(	(	PUNCT
ejpam-4551	84	11	30	30	NUM
ejpam-4551	84	12	)	)	PUNCT
ejpam-4551	84	13	below:	below:	NOUN
ejpam-4551	84	14	u0(x	u0(x	SYM
ejpam-4551	84	15	,	,	PUNCT
ejpam-4551	84	16	t	t	PROPN
ejpam-4551	84	17	)	)	PUNCT
ejpam-4551	84	18	=	=	SYM
ejpam-4551	84	19	u(x	u(x	NOUN
ejpam-4551	84	20	,	,	PUNCT
ejpam-4551	84	21	0	0	NUM
ejpam-4551	84	22	)	)	PUNCT
ejpam-4551	84	23	un+1(x	un+1(x	PROPN
ejpam-4551	84	24	,	,	PUNCT
ejpam-4551	84	25	t	t	PROPN
ejpam-4551	84	26	)	)	PUNCT
ejpam-4551	84	27	=	=	PUNCT
ejpam-4551	85	1	(	(	PUNCT
ejpam-4551	85	2	1	1	NUM
ejpam-4551	85	3	+	+	NUM
ejpam-4551	85	4	i	i	NOUN
ejpam-4551	85	5	)	)	PUNCT
ejpam-4551	85	6	∫	∫	PROPN
ejpam-4551	86	1	t	t	PROPN
ejpam-4551	86	2	0	0	NUM
ejpam-4551	87	1	∂2un(x	∂2un(x	PROPN
ejpam-4551	87	2	,	,	PUNCT
ejpam-4551	87	3	s	s	NOUN
ejpam-4551	87	4	)	)	PUNCT
ejpam-4551	87	5	∂x2	∂x2	NOUN
ejpam-4551	87	6	ds−	ds−	NOUN
ejpam-4551	87	7	(	(	PUNCT
ejpam-4551	87	8	1	1	NUM
ejpam-4551	87	9	+	+	NUM
ejpam-4551	87	10	2i	2i	NUM
ejpam-4551	87	11	)	)	PUNCT
ejpam-4551	87	12	∫	∫	PROPN
ejpam-4551	87	13	t	t	PROPN
ejpam-4551	87	14	0	0	NUM
ejpam-4551	88	1	an	an	DET
ejpam-4551	88	2	(	(	PUNCT
ejpam-4551	88	3	x	x	NOUN
ejpam-4551	88	4	,	,	PUNCT
ejpam-4551	88	5	s	s	PART
ejpam-4551	88	6	)	)	PUNCT
ejpam-4551	88	7	ds+	ds+	NOUN
ejpam-4551	88	8	3	3	NUM
ejpam-4551	88	9	∫	∫	NOUN
ejpam-4551	88	10	t	t	PROPN
ejpam-4551	88	11	0	0	NUM
ejpam-4551	88	12	un(x	un(x	PROPN
ejpam-4551	88	13	,	,	PUNCT
ejpam-4551	88	14	s)ds−	s)ds−	PROPN
ejpam-4551	88	15	(	(	PUNCT
ejpam-4551	88	16	1−	1−	NUM
ejpam-4551	88	17	4i	4i	NUM
ejpam-4551	88	18	)	)	PUNCT
ejpam-4551	89	1	∫	∫	PROPN
ejpam-4551	89	2	t	t	PROPN
ejpam-4551	89	3	0	0	NUM
ejpam-4551	90	1	bn	bn	PROPN
ejpam-4551	90	2	(	(	PUNCT
ejpam-4551	90	3	x	x	X
ejpam-4551	90	4	,	,	PUNCT
ejpam-4551	90	5	s	s	PART
ejpam-4551	90	6	)	)	PUNCT
ejpam-4551	90	7	ds	ds	ADJ
ejpam-4551	90	8	(	(	PUNCT
ejpam-4551	90	9	30	30	NUM
ejpam-4551	90	10	)	)	PUNCT
ejpam-4551	90	11	y.	y.	NOUN
ejpam-4551	90	12	a.	a.	PROPN
ejpam-4551	90	13	s.	s.	PROPN
ejpam-4551	90	14	wellot	wellot	PROPN
ejpam-4551	90	15	,	,	PUNCT
ejpam-4551	90	16	g.	g.	PROPN
ejpam-4551	90	17	d.	d.	PROPN
ejpam-4551	90	18	nkaya	nkaya	PROPN
ejpam-4551	90	19	/	/	SYM
ejpam-4551	90	20	eur	eur	PROPN
ejpam-4551	90	21	.	.	PUNCT
ejpam-4551	91	1	j.	j.	PROPN
ejpam-4551	91	2	pure	pure	PROPN
ejpam-4551	91	3	appl	appl	PROPN
ejpam-4551	91	4	.	.	PROPN
ejpam-4551	91	5	math	math	PROPN
ejpam-4551	91	6	,	,	PUNCT
ejpam-4551	91	7	15	15	NUM
ejpam-4551	91	8	(	(	PUNCT
ejpam-4551	91	9	4	4	NUM
ejpam-4551	91	10	)	)	PUNCT
ejpam-4551	91	11	(	(	PUNCT
ejpam-4551	91	12	2022	2022	NUM
ejpam-4551	91	13	)	)	PUNCT
ejpam-4551	91	14	,	,	PUNCT
ejpam-4551	91	15	1750	1750	NUM
ejpam-4551	91	16	-	-	SYM
ejpam-4551	91	17	1759	1759	NUM
ejpam-4551	91	18	1755	1755	NUM
ejpam-4551	91	19	either	either	CCONJ
ejpam-4551	91	20	:	:	PUNCT
ejpam-4551	91	21			NUM
ejpam-4551	91	22	u0(x	u0(x	PROPN
ejpam-4551	91	23	,	,	PUNCT
ejpam-4551	91	24	t	t	PROPN
ejpam-4551	91	25	)	)	PUNCT
ejpam-4551	92	1	=	=	SYM
ejpam-4551	92	2	eix	eix	PROPN
ejpam-4551	92	3	un+1(x	un+1(x	PROPN
ejpam-4551	92	4	,	,	PUNCT
ejpam-4551	92	5	t	t	PROPN
ejpam-4551	92	6	)	)	PUNCT
ejpam-4551	92	7	=	=	PUNCT
ejpam-4551	93	1	(	(	PUNCT
ejpam-4551	93	2	1	1	NUM
ejpam-4551	93	3	+	+	NUM
ejpam-4551	93	4	i	i	NOUN
ejpam-4551	93	5	)	)	PUNCT
ejpam-4551	93	6	∫	∫	PROPN
ejpam-4551	94	1	t	t	PROPN
ejpam-4551	94	2	0	0	NUM
ejpam-4551	95	1	∂2un(x	∂2un(x	PROPN
ejpam-4551	95	2	,	,	PUNCT
ejpam-4551	95	3	s	s	NOUN
ejpam-4551	95	4	)	)	PUNCT
ejpam-4551	95	5	∂x2	∂x2	NOUN
ejpam-4551	95	6	ds−	ds−	NOUN
ejpam-4551	95	7	(	(	PUNCT
ejpam-4551	95	8	1	1	NUM
ejpam-4551	95	9	+	+	NUM
ejpam-4551	95	10	2i	2i	NUM
ejpam-4551	95	11	)	)	PUNCT
ejpam-4551	95	12	∫	∫	PROPN
ejpam-4551	95	13	t	t	PROPN
ejpam-4551	95	14	0	0	NUM
ejpam-4551	96	1	an	an	DET
ejpam-4551	96	2	(	(	PUNCT
ejpam-4551	96	3	x	x	NOUN
ejpam-4551	96	4	,	,	PUNCT
ejpam-4551	96	5	s	s	PART
ejpam-4551	96	6	)	)	PUNCT
ejpam-4551	96	7	ds+	ds+	NOUN
ejpam-4551	96	8	3	3	NUM
ejpam-4551	96	9	∫	∫	NOUN
ejpam-4551	96	10	t	t	PROPN
ejpam-4551	96	11	0	0	NUM
ejpam-4551	96	12	un(x	un(x	PROPN
ejpam-4551	96	13	,	,	PUNCT
ejpam-4551	96	14	s)ds−	s)ds−	PROPN
ejpam-4551	96	15	(	(	PUNCT
ejpam-4551	96	16	1−	1−	NUM
ejpam-4551	96	17	4i	4i	NUM
ejpam-4551	96	18	)	)	PUNCT
ejpam-4551	97	1	∫	∫	PROPN
ejpam-4551	97	2	t	t	PROPN
ejpam-4551	97	3	0	0	NUM
ejpam-4551	98	1	bn	bn	PROPN
ejpam-4551	98	2	(	(	PUNCT
ejpam-4551	98	3	x	x	X
ejpam-4551	98	4	,	,	PUNCT
ejpam-4551	98	5	s	s	PART
ejpam-4551	98	6	)	)	PUNCT
ejpam-4551	98	7	ds	ds	ADJ
ejpam-4551	98	8	(	(	PUNCT
ejpam-4551	98	9	31	31	NUM
ejpam-4551	98	10	)	)	PUNCT
ejpam-4551	98	11	u1(x	u1(x	PROPN
ejpam-4551	98	12	,	,	PUNCT
ejpam-4551	98	13	t	t	PROPN
ejpam-4551	98	14	)	)	PUNCT
ejpam-4551	98	15	=	=	PUNCT
ejpam-4551	99	1	(	(	PUNCT
ejpam-4551	99	2	1	1	NUM
ejpam-4551	99	3	+	+	NUM
ejpam-4551	99	4	i	i	NOUN
ejpam-4551	99	5	)	)	PUNCT
ejpam-4551	99	6	∫	∫	PROPN
ejpam-4551	100	1	t	t	PROPN
ejpam-4551	100	2	0	0	NUM
ejpam-4551	100	3	∂2u0(x	∂2u0(x	NOUN
ejpam-4551	100	4	,	,	PUNCT
ejpam-4551	100	5	s	s	NOUN
ejpam-4551	100	6	)	)	PUNCT
ejpam-4551	100	7	∂x2	∂x2	NOUN
ejpam-4551	100	8	ds−	ds−	NOUN
ejpam-4551	100	9	(	(	PUNCT
ejpam-4551	100	10	1	1	NUM
ejpam-4551	100	11	+	+	NUM
ejpam-4551	100	12	2i	2i	NUM
ejpam-4551	100	13	)	)	PUNCT
ejpam-4551	101	1	∫	∫	PROPN
ejpam-4551	102	1	t	t	PROPN
ejpam-4551	102	2	0	0	NUM
ejpam-4551	103	1	a0ds+	a0ds+	PROPN
ejpam-4551	103	2	3	3	NUM
ejpam-4551	103	3	∫	∫	NOUN
ejpam-4551	103	4	t	t	PROPN
ejpam-4551	103	5	0	0	NUM
ejpam-4551	103	6	u0(x	u0(x	PROPN
ejpam-4551	103	7	,	,	PUNCT
ejpam-4551	103	8	s)ds−	s)ds−	PROPN
ejpam-4551	103	9	(	(	PUNCT
ejpam-4551	103	10	1−	1−	NUM
ejpam-4551	103	11	4i	4i	NUM
ejpam-4551	103	12	)	)	PUNCT
ejpam-4551	103	13	∫	∫	PROPN
ejpam-4551	104	1	t	t	PROPN
ejpam-4551	104	2	0	0	NUM
ejpam-4551	104	3	b0ds	b0ds	PUNCT
ejpam-4551	104	4	(	(	PUNCT
ejpam-4551	104	5	32	32	NUM
ejpam-4551	104	6	)	)	PUNCT
ejpam-4551	104	7	with	with	ADP
ejpam-4551	104	8	a0	a0	PROPN
ejpam-4551	104	9	=	=	PUNCT
ejpam-4551	104	10	b0	b0	PROPN
ejpam-4551	104	11	=	=	PUNCT
ejpam-4551	104	12	eix	eix	PROPN
ejpam-4551	104	13	,	,	PUNCT
ejpam-4551	104	14	we	we	PRON
ejpam-4551	104	15	can	can	AUX
ejpam-4551	104	16	easily	easily	ADV
ejpam-4551	104	17	calculate	calculate	VERB
ejpam-4551	104	18	u1(x	u1(x	PROPN
ejpam-4551	104	19	,	,	PUNCT
ejpam-4551	104	20	t	t	PROPN
ejpam-4551	104	21	)	)	PUNCT
ejpam-4551	104	22	u1(x	u1(x	PROPN
ejpam-4551	104	23	,	,	PUNCT
ejpam-4551	104	24	t	t	PROPN
ejpam-4551	104	25	)	)	PUNCT
ejpam-4551	104	26	=	=	PUNCT
ejpam-4551	105	1	−(1	−(1	NOUN
ejpam-4551	105	2	+	+	SYM
ejpam-4551	105	3	i)teix	i)teix	NUM
ejpam-4551	106	1	+	+	CCONJ
ejpam-4551	106	2	3teix	3teix	NUM
ejpam-4551	106	3	−	−	NOUN
ejpam-4551	106	4	(	(	PUNCT
ejpam-4551	106	5	1	1	NUM
ejpam-4551	106	6	+	+	NUM
ejpam-4551	106	7	2i)teix	2i)teix	NUM
ejpam-4551	106	8	−	−	PROPN
ejpam-4551	106	9	(	(	PUNCT
ejpam-4551	106	10	1−	1−	NUM
ejpam-4551	106	11	4i)teix	4i)teix	NUM
ejpam-4551	106	12	=	=	NUM
ejpam-4551	106	13	iteix	iteix	NOUN
ejpam-4551	106	14	(	(	PUNCT
ejpam-4551	106	15	33	33	NUM
ejpam-4551	106	16	)	)	PUNCT
ejpam-4551	106	17	the	the	DET
ejpam-4551	106	18	same	same	ADJ
ejpam-4551	106	19	calculation	calculation	NOUN
ejpam-4551	106	20	procedure	procedure	NOUN
ejpam-4551	106	21	leads	lead	VERB
ejpam-4551	106	22	us	we	PRON
ejpam-4551	106	23	to	to	PART
ejpam-4551	106	24	obtain	obtain	VERB
ejpam-4551	106	25	a1	a1	NOUN
ejpam-4551	106	26	as	as	SCONJ
ejpam-4551	106	27	follows	follow	VERB
ejpam-4551	106	28	a1	a1	NOUN
ejpam-4551	106	29	=	=	PUNCT
ejpam-4551	106	30	u20u1	u20u1	PROPN
ejpam-4551	106	31	+	+	ADJ
ejpam-4551	106	32	2u0u0u0	2u0u0u0	NUM
ejpam-4551	106	33	=	=	SYM
ejpam-4551	106	34	iteix	iteix	PROPN
ejpam-4551	106	35	.	.	PUNCT
ejpam-4551	107	1	(	(	PUNCT
ejpam-4551	107	2	34	34	NUM
ejpam-4551	107	3	)	)	PUNCT
ejpam-4551	107	4	then	then	ADV
ejpam-4551	107	5	b1	b1	NOUN
ejpam-4551	107	6	=	=	SYM
ejpam-4551	107	7	3u1u	3u1u	NUM
ejpam-4551	107	8	2	2	NUM
ejpam-4551	107	9	0u	0u	ADJ
ejpam-4551	107	10	2	2	NUM
ejpam-4551	107	11	0	0	NUM
ejpam-4551	108	1	+	+	CCONJ
ejpam-4551	108	2	2u30u1u0	2u30u1u0	NUM
ejpam-4551	108	3	=	=	SYM
ejpam-4551	108	4	iteix	iteix	PROPN
ejpam-4551	108	5	.	.	PUNCT
ejpam-4551	109	1	(	(	PUNCT
ejpam-4551	109	2	35	35	NUM
ejpam-4551	109	3	)	)	PUNCT
ejpam-4551	109	4	thus	thus	ADV
ejpam-4551	109	5	,	,	PUNCT
ejpam-4551	109	6	the	the	DET
ejpam-4551	109	7	simple	simple	ADJ
ejpam-4551	109	8	formula	formula	NOUN
ejpam-4551	109	9	to	to	PART
ejpam-4551	109	10	calculate	calculate	VERB
ejpam-4551	109	11	the	the	DET
ejpam-4551	109	12	expression	expression	NOUN
ejpam-4551	109	13	u2(x	u2(x	PROPN
ejpam-4551	109	14	,	,	PUNCT
ejpam-4551	109	15	t	t	PROPN
ejpam-4551	109	16	)	)	PUNCT
ejpam-4551	109	17	follows	follow	VERB
ejpam-4551	109	18	from	from	ADP
ejpam-4551	109	19	this	this	PRON
ejpam-4551	109	20	.	.	PUNCT
ejpam-4551	110	1	let	let	VERB
ejpam-4551	110	2	it	it	PRON
ejpam-4551	110	3	be	be	AUX
ejpam-4551	110	4	:	:	PUNCT
ejpam-4551	110	5	u2(x	u2(x	NUM
ejpam-4551	110	6	,	,	PUNCT
ejpam-4551	110	7	t	t	PROPN
ejpam-4551	110	8	)	)	PUNCT
ejpam-4551	110	9	=	=	PUNCT
ejpam-4551	111	1	(	(	PUNCT
ejpam-4551	111	2	1	1	NUM
ejpam-4551	111	3	+	+	NUM
ejpam-4551	111	4	i	i	NOUN
ejpam-4551	111	5	)	)	PUNCT
ejpam-4551	111	6	∫	∫	PROPN
ejpam-4551	111	7	t	t	PROPN
ejpam-4551	111	8	0	0	NUM
ejpam-4551	111	9	∂2u1(x	∂2u1(x	PROPN
ejpam-4551	111	10	,	,	PUNCT
ejpam-4551	111	11	s	s	NOUN
ejpam-4551	111	12	)	)	PUNCT
ejpam-4551	111	13	∂x2	∂x2	NOUN
ejpam-4551	111	14	ds−	ds−	NOUN
ejpam-4551	111	15	(	(	PUNCT
ejpam-4551	111	16	1	1	NUM
ejpam-4551	111	17	+	+	NUM
ejpam-4551	111	18	2i	2i	NUM
ejpam-4551	111	19	)	)	PUNCT
ejpam-4551	112	1	∫	∫	PROPN
ejpam-4551	112	2	t	t	NOUN
ejpam-4551	112	3	0	0	NUM
ejpam-4551	112	4	a1ds+	a1ds+	PROPN
ejpam-4551	112	5	3	3	NUM
ejpam-4551	112	6	∫	∫	NOUN
ejpam-4551	112	7	t	t	NOUN
ejpam-4551	112	8	0	0	NUM
ejpam-4551	113	1	u1(x	u1(x	PROPN
ejpam-4551	113	2	,	,	PUNCT
ejpam-4551	113	3	s)ds−	s)ds−	PROPN
ejpam-4551	113	4	(	(	PUNCT
ejpam-4551	113	5	1−	1−	NUM
ejpam-4551	113	6	4i	4i	NUM
ejpam-4551	113	7	)	)	PUNCT
ejpam-4551	114	1	∫	∫	PROPN
ejpam-4551	114	2	t	t	PROPN
ejpam-4551	114	3	0	0	NUM
ejpam-4551	114	4	b1ds	b1ds	NOUN
ejpam-4551	114	5	(	(	PUNCT
ejpam-4551	114	6	36	36	NUM
ejpam-4551	114	7	)	)	PUNCT
ejpam-4551	114	8	u2(x	u2(x	PROPN
ejpam-4551	114	9	,	,	PUNCT
ejpam-4551	114	10	t	t	PROPN
ejpam-4551	114	11	)	)	PUNCT
ejpam-4551	115	1	=	=	PUNCT
ejpam-4551	116	1	[	[	X
ejpam-4551	116	2	−i(1	−i(1	X
ejpam-4551	116	3	+	+	NUM
ejpam-4551	116	4	i	i	NOUN
ejpam-4551	116	5	)	)	PUNCT
ejpam-4551	117	1	+	+	PUNCT
ejpam-4551	118	1	3i−	3i−	NUM
ejpam-4551	118	2	(	(	PUNCT
ejpam-4551	118	3	1	1	NUM
ejpam-4551	118	4	+	+	NUM
ejpam-4551	118	5	2i)(i)−	2i)(i)−	NUM
ejpam-4551	118	6	(	(	PUNCT
ejpam-4551	118	7	1−	1−	NUM
ejpam-4551	118	8	4i)(i	4i)(i	NUM
ejpam-4551	118	9	)	)	PUNCT
ejpam-4551	118	10	]	]	PUNCT
ejpam-4551	119	1	t2	t2	NOUN
ejpam-4551	119	2	2	2	NUM
ejpam-4551	119	3	eix	eix	NOUN
ejpam-4551	119	4	(	(	PUNCT
ejpam-4551	119	5	37	37	NUM
ejpam-4551	119	6	)	)	PUNCT
ejpam-4551	119	7	thus	thus	ADV
ejpam-4551	119	8	:	:	PUNCT
ejpam-4551	119	9	u2(x	u2(x	X
ejpam-4551	119	10	,	,	PUNCT
ejpam-4551	119	11	t	t	PROPN
ejpam-4551	119	12	)	)	PUNCT
ejpam-4551	119	13	=	=	PUNCT
ejpam-4551	120	1	−	−	PROPN
ejpam-4551	120	2	t2	t2	NOUN
ejpam-4551	120	3	2	2	NUM
ejpam-4551	120	4	eix	eix	NOUN
ejpam-4551	120	5	(	(	PUNCT
ejpam-4551	120	6	38	38	NUM
ejpam-4551	120	7	)	)	PUNCT
ejpam-4551	120	8	we	we	PRON
ejpam-4551	120	9	proceed	proceed	VERB
ejpam-4551	120	10	in	in	ADP
ejpam-4551	120	11	the	the	DET
ejpam-4551	120	12	same	same	ADJ
ejpam-4551	120	13	way	way	NOUN
ejpam-4551	120	14	for	for	ADP
ejpam-4551	120	15	the	the	DET
ejpam-4551	120	16	expression	expression	NOUN
ejpam-4551	120	17	of	of	ADP
ejpam-4551	120	18	u3(x	u3(x	PROPN
ejpam-4551	120	19	,	,	PUNCT
ejpam-4551	120	20	t	t	PROPN
ejpam-4551	120	21	)	)	PUNCT
ejpam-4551	120	22	.	.	PUNCT
ejpam-4551	121	1	u3(x	u3(x	PROPN
ejpam-4551	121	2	,	,	PUNCT
ejpam-4551	121	3	t	t	PROPN
ejpam-4551	121	4	)	)	PUNCT
ejpam-4551	121	5	=	=	PUNCT
ejpam-4551	121	6	(	(	PUNCT
ejpam-4551	121	7	1	1	NUM
ejpam-4551	121	8	+	+	NUM
ejpam-4551	121	9	i	i	NOUN
ejpam-4551	121	10	)	)	PUNCT
ejpam-4551	122	1	∫	∫	PROPN
ejpam-4551	122	2	t	t	NOUN
ejpam-4551	122	3	0	0	NUM
ejpam-4551	123	1	∂2u2(x	∂2u2(x	NOUN
ejpam-4551	123	2	,	,	PUNCT
ejpam-4551	123	3	s	s	NOUN
ejpam-4551	123	4	)	)	PUNCT
ejpam-4551	123	5	∂x2	∂x2	NOUN
ejpam-4551	123	6	ds−	ds−	NOUN
ejpam-4551	123	7	(	(	PUNCT
ejpam-4551	123	8	1	1	NUM
ejpam-4551	123	9	+	+	NUM
ejpam-4551	123	10	2i	2i	NUM
ejpam-4551	123	11	)	)	PUNCT
ejpam-4551	123	12	∫	∫	PROPN
ejpam-4551	124	1	t	t	NOUN
ejpam-4551	124	2	0	0	NUM
ejpam-4551	124	3	a2ds+	a2ds+	SYM
ejpam-4551	124	4	3	3	NUM
ejpam-4551	124	5	∫	∫	NOUN
ejpam-4551	124	6	t	t	PROPN
ejpam-4551	124	7	0	0	NUM
ejpam-4551	124	8	u2(x	u2(x	PROPN
ejpam-4551	124	9	,	,	PUNCT
ejpam-4551	124	10	s)ds−	s)ds−	PROPN
ejpam-4551	124	11	(	(	PUNCT
ejpam-4551	124	12	1−	1−	NUM
ejpam-4551	124	13	4i	4i	NUM
ejpam-4551	124	14	)	)	PUNCT
ejpam-4551	124	15	∫	∫	PROPN
ejpam-4551	124	16	t	t	PROPN
ejpam-4551	124	17	0	0	NUM
ejpam-4551	124	18	b2ds	b2ds	NOUN
ejpam-4551	124	19	(	(	PUNCT
ejpam-4551	124	20	39	39	NUM
ejpam-4551	124	21	)	)	PUNCT
ejpam-4551	124	22	with	with	ADP
ejpam-4551	124	23	a2	a2	PROPN
ejpam-4551	124	24	=	=	SYM
ejpam-4551	125	1	u20u2	u20u2	PROPN
ejpam-4551	126	1	+	+	NOUN
ejpam-4551	126	2	2u0u0u2	2u0u0u2	NUM
ejpam-4551	126	3	+	+	NUM
ejpam-4551	126	4	2u1u1u0	2u1u1u0	NUM
ejpam-4551	126	5	+	+	NUM
ejpam-4551	126	6	u21u0	u21u0	NOUN
ejpam-4551	126	7	=	=	SYM
ejpam-4551	127	1	−	−	PROPN
ejpam-4551	127	2	t2	t2	NOUN
ejpam-4551	127	3	2	2	NUM
ejpam-4551	127	4	eix	eix	NOUN
ejpam-4551	127	5	,	,	PUNCT
ejpam-4551	127	6	(	(	PUNCT
ejpam-4551	127	7	40	40	NUM
ejpam-4551	127	8	)	)	PUNCT
ejpam-4551	127	9	and	and	CCONJ
ejpam-4551	127	10	b2	b2	NOUN
ejpam-4551	127	11	=	=	SYM
ejpam-4551	127	12	3u2u	3u2u	NUM
ejpam-4551	127	13	2	2	NUM
ejpam-4551	127	14	0u	0u	ADJ
ejpam-4551	127	15	2	2	NUM
ejpam-4551	127	16	0	0	NUM
ejpam-4551	128	1	+	+	CCONJ
ejpam-4551	128	2	3u21u0u	3u21u0u	NUM
ejpam-4551	128	3	2	2	NUM
ejpam-4551	128	4	0	0	NUM
ejpam-4551	129	1	+	+	CCONJ
ejpam-4551	129	2	6u1u	6u1u	NUM
ejpam-4551	129	3	2	2	NUM
ejpam-4551	129	4	0u1u0	0u1u0	NOUN
ejpam-4551	130	1	+	+	CCONJ
ejpam-4551	130	2	2u30u2u0	2u30u2u0	NUM
ejpam-4551	130	3	+	+	CCONJ
ejpam-4551	130	4	u30u	u30u	NUM
ejpam-4551	130	5	2	2	NUM
ejpam-4551	130	6	1	1	NUM
ejpam-4551	130	7	=	=	SYM
ejpam-4551	130	8	−	−	PROPN
ejpam-4551	130	9	t2	t2	NOUN
ejpam-4551	130	10	2	2	NUM
ejpam-4551	130	11	eix	eix	NOUN
ejpam-4551	130	12	.	.	PUNCT
ejpam-4551	131	1	(	(	PUNCT
ejpam-4551	131	2	41	41	NUM
ejpam-4551	131	3	)	)	PUNCT
ejpam-4551	131	4	therefore	therefore	ADV
ejpam-4551	131	5	:	:	PUNCT
ejpam-4551	131	6	u3(x	u3(x	PROPN
ejpam-4551	131	7	,	,	PUNCT
ejpam-4551	131	8	t	t	PROPN
ejpam-4551	131	9	)	)	PUNCT
ejpam-4551	131	10	=	=	PUNCT
ejpam-4551	132	1	[	[	X
ejpam-4551	132	2	1	1	NUM
ejpam-4551	132	3	+	+	NUM
ejpam-4551	132	4	i+	i+	PUNCT
ejpam-4551	132	5	1	1	NUM
ejpam-4551	132	6	+	+	CCONJ
ejpam-4551	132	7	2i−	2i−	NUM
ejpam-4551	132	8	3	3	NUM
ejpam-4551	132	9	+	+	CCONJ
ejpam-4551	132	10	1−	1−	NUM
ejpam-4551	132	11	4i	4i	NUM
ejpam-4551	132	12	]	]	PUNCT
ejpam-4551	132	13	t3	t3	PROPN
ejpam-4551	132	14	3	3	NUM
ejpam-4551	132	15	!	!	PUNCT
ejpam-4551	132	16	eix	eix	PROPN
ejpam-4551	132	17	=	=	SYM
ejpam-4551	132	18	−i	−i	ADJ
ejpam-4551	132	19	t3	t3	PROPN
ejpam-4551	132	20	3	3	X
ejpam-4551	132	21	!	!	PUNCT
ejpam-4551	132	22	eix	eix	PROPN
ejpam-4551	132	23	.	.	PUNCT
ejpam-4551	133	1	(	(	PUNCT
ejpam-4551	133	2	42	42	X
ejpam-4551	133	3	)	)	PUNCT
ejpam-4551	133	4	y.	y.	NOUN
ejpam-4551	133	5	a.	a.	PROPN
ejpam-4551	133	6	s.	s.	PROPN
ejpam-4551	133	7	wellot	wellot	PROPN
ejpam-4551	133	8	,	,	PUNCT
ejpam-4551	133	9	g.	g.	PROPN
ejpam-4551	133	10	d.	d.	PROPN
ejpam-4551	133	11	nkaya	nkaya	PROPN
ejpam-4551	133	12	/	/	SYM
ejpam-4551	133	13	eur	eur	PROPN
ejpam-4551	133	14	.	.	PUNCT
ejpam-4551	134	1	j.	j.	PROPN
ejpam-4551	134	2	pure	pure	PROPN
ejpam-4551	134	3	appl	appl	PROPN
ejpam-4551	134	4	.	.	PROPN
ejpam-4551	134	5	math	math	PROPN
ejpam-4551	134	6	,	,	PUNCT
ejpam-4551	134	7	15	15	NUM
ejpam-4551	134	8	(	(	PUNCT
ejpam-4551	134	9	4	4	NUM
ejpam-4551	134	10	)	)	PUNCT
ejpam-4551	134	11	(	(	PUNCT
ejpam-4551	134	12	2022	2022	NUM
ejpam-4551	134	13	)	)	PUNCT
ejpam-4551	134	14	,	,	PUNCT
ejpam-4551	134	15	1750	1750	NUM
ejpam-4551	134	16	-	-	SYM
ejpam-4551	134	17	1759	1759	NUM
ejpam-4551	134	18	1756	1756	NUM
ejpam-4551	134	19	thus	thus	ADV
ejpam-4551	134	20	we	we	PRON
ejpam-4551	134	21	have	have	VERB
ejpam-4551	134	22	:	:	PUNCT
ejpam-4551	134	23			NUM
ejpam-4551	134	24	u0(x	u0(x	PROPN
ejpam-4551	134	25	,	,	PUNCT
ejpam-4551	134	26	t	t	PROPN
ejpam-4551	134	27	)	)	PUNCT
ejpam-4551	134	28	=	=	VERB
ejpam-4551	135	1	eix	eix	PROPN
ejpam-4551	135	2	u1(x	u1(x	PROPN
ejpam-4551	135	3	,	,	PUNCT
ejpam-4551	135	4	t	t	PROPN
ejpam-4551	135	5	)	)	PUNCT
ejpam-4551	135	6	=	=	PRON
ejpam-4551	136	1	iteix	iteix	PROPN
ejpam-4551	136	2	u2(x	u2(x	X
ejpam-4551	136	3	,	,	PUNCT
ejpam-4551	136	4	t	t	PROPN
ejpam-4551	136	5	)	)	PUNCT
ejpam-4551	136	6	=	=	PUNCT
ejpam-4551	137	1	(	(	PUNCT
ejpam-4551	137	2	it)2	it)2	PROPN
ejpam-4551	137	3	2	2	NUM
ejpam-4551	137	4	!	!	PUNCT
ejpam-4551	137	5	eix	eix	PROPN
ejpam-4551	137	6	u3(x	u3(x	PROPN
ejpam-4551	137	7	,	,	PUNCT
ejpam-4551	137	8	t	t	PROPN
ejpam-4551	137	9	)	)	PUNCT
ejpam-4551	137	10	=	=	PUNCT
ejpam-4551	138	1	(	(	PUNCT
ejpam-4551	138	2	it)3	it)3	PROPN
ejpam-4551	138	3	3	3	NUM
ejpam-4551	138	4	!	!	PUNCT
ejpam-4551	138	5	eix	eix	PROPN
ejpam-4551	138	6	...	...	PUNCT
ejpam-4551	138	7	un(x	un(x	PROPN
ejpam-4551	138	8	,	,	PUNCT
ejpam-4551	138	9	t	t	PROPN
ejpam-4551	138	10	)	)	PUNCT
ejpam-4551	138	11	=	=	PUNCT
ejpam-4551	138	12	(	(	PUNCT
ejpam-4551	138	13	it)n	it)n	PROPN
ejpam-4551	138	14	n	n	X
ejpam-4551	138	15	!	!	PUNCT
ejpam-4551	138	16	eix	eix	PROPN
ejpam-4551	138	17	(	(	PUNCT
ejpam-4551	138	18	43	43	NUM
ejpam-4551	138	19	)	)	PUNCT
ejpam-4551	138	20	hence	hence	ADV
ejpam-4551	138	21	,	,	PUNCT
ejpam-4551	138	22	the	the	DET
ejpam-4551	138	23	exact	exact	ADJ
ejpam-4551	138	24	solution	solution	NOUN
ejpam-4551	138	25	of	of	ADP
ejpam-4551	138	26	the	the	DET
ejpam-4551	138	27	ginzburg	ginzburg	NOUN
ejpam-4551	138	28	-	-	PUNCT
ejpam-4551	138	29	landau	landau	NOUN
ejpam-4551	138	30	equation	equation	NOUN
ejpam-4551	138	31	is	be	AUX
ejpam-4551	138	32	:	:	PUNCT
ejpam-4551	138	33	u(x	u(x	PROPN
ejpam-4551	138	34	,	,	PUNCT
ejpam-4551	138	35	t	t	NOUN
ejpam-4551	138	36	)	)	PUNCT
ejpam-4551	138	37	=	=	PUNCT
ejpam-4551	139	1	+	+	ADP
ejpam-4551	139	2	∞∑	∞∑	NUM
ejpam-4551	139	3	n=0	n=0	NUM
ejpam-4551	139	4	un	un	NOUN
ejpam-4551	139	5	(	(	PUNCT
ejpam-4551	139	6	x	x	PROPN
ejpam-4551	139	7	,	,	PUNCT
ejpam-4551	139	8	t	t	PROPN
ejpam-4551	139	9	)	)	PUNCT
ejpam-4551	139	10	=	=	PUNCT
ejpam-4551	140	1	+	+	ADP
ejpam-4551	140	2	∞∑	∞∑	NUM
ejpam-4551	140	3	n=0	n=0	NUM
ejpam-4551	140	4	(	(	PUNCT
ejpam-4551	140	5	it)n	it)n	PROPN
ejpam-4551	140	6	n	n	X
ejpam-4551	140	7	!	!	PUNCT
ejpam-4551	140	8	eix	eix	PROPN
ejpam-4551	140	9	=	=	SYM
ejpam-4551	140	10	ei(x+t	ei(x+t	PROPN
ejpam-4551	140	11	)	)	PUNCT
ejpam-4551	140	12	.	.	PUNCT
ejpam-4551	141	1	(	(	PUNCT
ejpam-4551	141	2	44	44	NUM
ejpam-4551	141	3	)	)	PUNCT
ejpam-4551	141	4	4.2	4.2	NUM
ejpam-4551	141	5	.	.	PUNCT
ejpam-4551	142	1	problem	problem	NOUN
ejpam-4551	142	2	2	2	NUM
ejpam-4551	142	3	we	we	PRON
ejpam-4551	142	4	consider	consider	VERB
ejpam-4551	142	5	the	the	DET
ejpam-4551	142	6	following	follow	VERB
ejpam-4551	142	7	initial	initial	ADJ
ejpam-4551	142	8	value	value	NOUN
ejpam-4551	142	9	problem	problem	NOUN
ejpam-4551	143	1	[	[	X
ejpam-4551	143	2	12	12	NUM
ejpam-4551	143	3	,	,	PUNCT
ejpam-4551	143	4	15	15	NUM
ejpam-4551	143	5	]	]	PUNCT
ejpam-4551	143	6	:	:	PUNCT
ejpam-4551	143	7			NOUN
ejpam-4551	143	8	∂u(x	∂u(x	PROPN
ejpam-4551	143	9	,	,	PUNCT
ejpam-4551	143	10	y	y	PROPN
ejpam-4551	143	11	,	,	PUNCT
ejpam-4551	143	12	t	t	PROPN
ejpam-4551	143	13	)	)	PUNCT
ejpam-4551	143	14	∂t	∂t	PROPN
ejpam-4551	144	1	−	−	PROPN
ejpam-4551	144	2	(	(	PUNCT
ejpam-4551	144	3	1	1	NUM
ejpam-4551	144	4	+	+	NUM
ejpam-4551	144	5	2i	2i	NUM
ejpam-4551	144	6	)	)	PUNCT
ejpam-4551	144	7	[	[	PUNCT
ejpam-4551	144	8	∂2u(x	∂2u(x	PROPN
ejpam-4551	144	9	,	,	PUNCT
ejpam-4551	144	10	y	y	PROPN
ejpam-4551	144	11	,	,	PUNCT
ejpam-4551	144	12	t	t	PROPN
ejpam-4551	144	13	)	)	PUNCT
ejpam-4551	144	14	∂x2	∂x2	NOUN
ejpam-4551	144	15	+	+	CCONJ
ejpam-4551	144	16	∂2u(x	∂2u(x	NOUN
ejpam-4551	144	17	,	,	PUNCT
ejpam-4551	144	18	y	y	PROPN
ejpam-4551	144	19	,	,	PUNCT
ejpam-4551	144	20	t	t	PROPN
ejpam-4551	144	21	)	)	PUNCT
ejpam-4551	144	22	∂y2	∂y2	ADJ
ejpam-4551	144	23	]	]	PUNCT
ejpam-4551	145	1	+	+	CCONJ
ejpam-4551	145	2	(	(	PUNCT
ejpam-4551	145	3	1	1	NUM
ejpam-4551	145	4	+	+	NUM
ejpam-4551	145	5	2i)|u(x	2i)|u(x	NUM
ejpam-4551	145	6	,	,	PUNCT
ejpam-4551	145	7	y	y	PROPN
ejpam-4551	145	8	,	,	PUNCT
ejpam-4551	145	9	t)|2u(x	t)|2u(x	ADP
ejpam-4551	145	10	,	,	PUNCT
ejpam-4551	145	11	y	y	PROPN
ejpam-4551	145	12	,	,	PUNCT
ejpam-4551	145	13	t)−	t)−	PROPN
ejpam-4551	145	14	γu(x	γu(x	NOUN
ejpam-4551	145	15	,	,	PUNCT
ejpam-4551	145	16	y	y	PROPN
ejpam-4551	145	17	,	,	PUNCT
ejpam-4551	145	18	t	t	PROPN
ejpam-4551	145	19	)	)	PUNCT
ejpam-4551	145	20	=	=	SYM
ejpam-4551	145	21	0	0	NUM
ejpam-4551	145	22	u(x	u(x	PROPN
ejpam-4551	145	23	,	,	PUNCT
ejpam-4551	145	24	y	y	NOUN
ejpam-4551	145	25	,	,	PUNCT
ejpam-4551	145	26	0	0	NUM
ejpam-4551	145	27	)	)	PUNCT
ejpam-4551	145	28	=	=	PUNCT
ejpam-4551	146	1	e	e	X
ejpam-4551	146	2	i	i	NOUN
ejpam-4551	146	3	π	π	PROPN
ejpam-4551	146	4	3	3	X
ejpam-4551	146	5	(	(	PUNCT
ejpam-4551	146	6	x+	x+	PROPN
ejpam-4551	146	7	y	y	NOUN
ejpam-4551	146	8	)	)	PUNCT
ejpam-4551	146	9	,	,	PUNCT
ejpam-4551	146	10	(	(	PUNCT
ejpam-4551	146	11	45	45	NUM
ejpam-4551	146	12	)	)	PUNCT
ejpam-4551	146	13	with	with	ADP
ejpam-4551	146	14	u(x	u(x	NOUN
ejpam-4551	146	15	,	,	PUNCT
ejpam-4551	146	16	y	y	PROPN
ejpam-4551	146	17	,	,	PUNCT
ejpam-4551	146	18	t	t	PROPN
ejpam-4551	146	19	)	)	PUNCT
ejpam-4551	146	20	a	a	DET
ejpam-4551	146	21	complex	complex	ADJ
ejpam-4551	146	22	function	function	NOUN
ejpam-4551	146	23	,	,	PUNCT
ejpam-4551	146	24	γ	γ	PROPN
ejpam-4551	146	25	∈	∈	PROPN
ejpam-4551	146	26	r.	r.	PROPN
ejpam-4551	146	27	according	accord	VERB
ejpam-4551	146	28	to	to	ADP
ejpam-4551	146	29	the	the	DET
ejpam-4551	146	30	adomian	adomian	NOUN
ejpam-4551	146	31	decomposition	decomposition	NOUN
ejpam-4551	146	32	method	method	NOUN
ejpam-4551	146	33	,	,	PUNCT
ejpam-4551	146	34	the	the	DET
ejpam-4551	146	35	equation	equation	NOUN
ejpam-4551	146	36	(	(	PUNCT
ejpam-4551	146	37	45	45	NUM
ejpam-4551	146	38	)	)	PUNCT
ejpam-4551	146	39	∂u(x	∂u(x	PROPN
ejpam-4551	146	40	,	,	PUNCT
ejpam-4551	146	41	y	y	PROPN
ejpam-4551	146	42	,	,	PUNCT
ejpam-4551	146	43	t	t	PROPN
ejpam-4551	146	44	)	)	PUNCT
ejpam-4551	146	45	∂t	∂t	PROPN
ejpam-4551	147	1	−	−	PROPN
ejpam-4551	148	1	(	(	PUNCT
ejpam-4551	148	2	1	1	NUM
ejpam-4551	148	3	+	+	CCONJ
ejpam-4551	148	4	2i)∆u(x	2i)∆u(x	PROPN
ejpam-4551	148	5	,	,	PUNCT
ejpam-4551	148	6	y	y	PROPN
ejpam-4551	148	7	,	,	PUNCT
ejpam-4551	148	8	t	t	PROPN
ejpam-4551	148	9	)	)	PUNCT
ejpam-4551	148	10	+	+	CCONJ
ejpam-4551	148	11	(	(	PUNCT
ejpam-4551	148	12	1	1	NUM
ejpam-4551	148	13	+	+	NUM
ejpam-4551	148	14	2i)|u(x	2i)|u(x	NUM
ejpam-4551	148	15	,	,	PUNCT
ejpam-4551	148	16	y	y	PROPN
ejpam-4551	148	17	,	,	PUNCT
ejpam-4551	148	18	t)|2u(x	t)|2u(x	ADP
ejpam-4551	148	19	,	,	PUNCT
ejpam-4551	148	20	y	y	PROPN
ejpam-4551	148	21	,	,	PUNCT
ejpam-4551	148	22	t)−	t)−	PROPN
ejpam-4551	148	23	γu(x	γu(x	NOUN
ejpam-4551	148	24	,	,	PUNCT
ejpam-4551	148	25	y	y	PROPN
ejpam-4551	148	26	,	,	PUNCT
ejpam-4551	148	27	t	t	PROPN
ejpam-4551	148	28	)	)	PUNCT
ejpam-4551	148	29	=	=	SYM
ejpam-4551	148	30	0	0	PUNCT
ejpam-4551	148	31	(	(	PUNCT
ejpam-4551	148	32	46	46	NUM
ejpam-4551	148	33	)	)	PUNCT
ejpam-4551	148	34	u(x	u(x	PROPN
ejpam-4551	148	35	,	,	PUNCT
ejpam-4551	148	36	y	y	PROPN
ejpam-4551	148	37	,	,	PUNCT
ejpam-4551	148	38	t	t	PROPN
ejpam-4551	148	39	)	)	PUNCT
ejpam-4551	149	1	=	=	SYM
ejpam-4551	149	2	u(x	u(x	PROPN
ejpam-4551	149	3	,	,	PUNCT
ejpam-4551	149	4	y	y	PROPN
ejpam-4551	149	5	,	,	PUNCT
ejpam-4551	149	6	0)+	0)+	NOUN
ejpam-4551	149	7	∫	∫	PROPN
ejpam-4551	149	8	t	t	PROPN
ejpam-4551	149	9	0	0	NUM
ejpam-4551	149	10	(	(	PUNCT
ejpam-4551	149	11	1	1	NUM
ejpam-4551	149	12	+	+	NOUN
ejpam-4551	149	13	2i)∆u(x	2i)∆u(x	PROPN
ejpam-4551	149	14	,	,	PUNCT
ejpam-4551	149	15	y	y	NOUN
ejpam-4551	149	16	,	,	PUNCT
ejpam-4551	149	17	s)ds−(1	s)ds−(1	NOUN
ejpam-4551	149	18	+	+	NOUN
ejpam-4551	149	19	2i	2i	NUM
ejpam-4551	149	20	)	)	PUNCT
ejpam-4551	149	21	∫	∫	PROPN
ejpam-4551	150	1	t	t	NOUN
ejpam-4551	150	2	0	0	X
ejpam-4551	151	1	|u(x	|u(x	NOUN
ejpam-4551	151	2	,	,	PUNCT
ejpam-4551	151	3	y	y	PROPN
ejpam-4551	151	4	,	,	PUNCT
ejpam-4551	151	5	s)|2u(x	s)|2u(x	PROPN
ejpam-4551	151	6	,	,	PUNCT
ejpam-4551	151	7	y	y	PROPN
ejpam-4551	151	8	,	,	PUNCT
ejpam-4551	151	9	s)ds+γ	s)ds+γ	PROPN
ejpam-4551	151	10	∫	∫	PROPN
ejpam-4551	151	11	t	t	NOUN
ejpam-4551	151	12	0	0	NUM
ejpam-4551	151	13	u(x	u(x	PROPN
ejpam-4551	151	14	,	,	PUNCT
ejpam-4551	151	15	y	y	NOUN
ejpam-4551	151	16	,	,	PUNCT
ejpam-4551	151	17	s)ds	s)ds	PROPN
ejpam-4551	151	18	)	)	PUNCT
ejpam-4551	151	19	=	=	SYM
ejpam-4551	151	20	0	0	PUNCT
ejpam-4551	151	21	(	(	PUNCT
ejpam-4551	151	22	47	47	NUM
ejpam-4551	151	23	)	)	PUNCT
ejpam-4551	151	24	let	let	VERB
ejpam-4551	151	25	’s	’s	NOUN
ejpam-4551	151	26	put	put	VERB
ejpam-4551	151	27	nu	nu	NOUN
ejpam-4551	151	28	=	=	SYM
ejpam-4551	151	29	|u(x	|u(x	PROPN
ejpam-4551	151	30	,	,	PUNCT
ejpam-4551	151	31	y	y	PROPN
ejpam-4551	151	32	,	,	PUNCT
ejpam-4551	151	33	t)|2u(x	t)|2u(x	ADP
ejpam-4551	151	34	,	,	PUNCT
ejpam-4551	151	35	y	y	PROPN
ejpam-4551	151	36	,	,	PUNCT
ejpam-4551	151	37	t	t	PROPN
ejpam-4551	151	38	)	)	PUNCT
ejpam-4551	151	39	,	,	PUNCT
ejpam-4551	151	40	we	we	PRON
ejpam-4551	151	41	have	have	VERB
ejpam-4551	151	42	u(x	u(x	NOUN
ejpam-4551	151	43	,	,	PUNCT
ejpam-4551	151	44	y	y	PROPN
ejpam-4551	151	45	,	,	PUNCT
ejpam-4551	151	46	t	t	PROPN
ejpam-4551	151	47	)	)	PUNCT
ejpam-4551	152	1	=	=	SYM
ejpam-4551	152	2	u(x	u(x	PROPN
ejpam-4551	152	3	,	,	PUNCT
ejpam-4551	152	4	y	y	PROPN
ejpam-4551	152	5	,	,	PUNCT
ejpam-4551	152	6	0)+	0)+	NOUN
ejpam-4551	152	7	∫	∫	PROPN
ejpam-4551	152	8	t	t	PROPN
ejpam-4551	152	9	0	0	NUM
ejpam-4551	152	10	(	(	PUNCT
ejpam-4551	152	11	1	1	NUM
ejpam-4551	152	12	+	+	NOUN
ejpam-4551	152	13	2i)∆u(x	2i)∆u(x	PROPN
ejpam-4551	152	14	,	,	PUNCT
ejpam-4551	152	15	y	y	NOUN
ejpam-4551	152	16	,	,	PUNCT
ejpam-4551	152	17	s)ds−(1	s)ds−(1	NOUN
ejpam-4551	152	18	+	+	NOUN
ejpam-4551	152	19	2i	2i	NUM
ejpam-4551	152	20	)	)	PUNCT
ejpam-4551	152	21	∫	∫	PROPN
ejpam-4551	153	1	t	t	PROPN
ejpam-4551	153	2	0	0	NUM
ejpam-4551	153	3	nu(x	nu(x	PROPN
ejpam-4551	153	4	,	,	PUNCT
ejpam-4551	153	5	y	y	PROPN
ejpam-4551	153	6	,	,	PUNCT
ejpam-4551	153	7	s)ds+γ	s)ds+γ	PROPN
ejpam-4551	153	8	∫	∫	PROPN
ejpam-4551	154	1	t	t	NOUN
ejpam-4551	154	2	0	0	NUM
ejpam-4551	154	3	u(x	u(x	PROPN
ejpam-4551	154	4	,	,	PUNCT
ejpam-4551	154	5	y	y	NOUN
ejpam-4551	154	6	,	,	PUNCT
ejpam-4551	154	7	s)ds	s)ds	PROPN
ejpam-4551	154	8	)	)	PUNCT
ejpam-4551	154	9	=	=	SYM
ejpam-4551	154	10	0	0	PUNCT
ejpam-4551	154	11	(	(	PUNCT
ejpam-4551	154	12	48	48	NUM
ejpam-4551	154	13	)	)	PUNCT
ejpam-4551	154	14	y.	y.	NOUN
ejpam-4551	154	15	a.	a.	PROPN
ejpam-4551	154	16	s.	s.	PROPN
ejpam-4551	154	17	wellot	wellot	PROPN
ejpam-4551	154	18	,	,	PUNCT
ejpam-4551	154	19	g.	g.	PROPN
ejpam-4551	154	20	d.	d.	PROPN
ejpam-4551	154	21	nkaya	nkaya	PROPN
ejpam-4551	154	22	/	/	SYM
ejpam-4551	154	23	eur	eur	PROPN
ejpam-4551	154	24	.	.	PUNCT
ejpam-4551	155	1	j.	j.	PROPN
ejpam-4551	155	2	pure	pure	PROPN
ejpam-4551	155	3	appl	appl	PROPN
ejpam-4551	155	4	.	.	PROPN
ejpam-4551	155	5	math	math	PROPN
ejpam-4551	155	6	,	,	PUNCT
ejpam-4551	155	7	15	15	NUM
ejpam-4551	155	8	(	(	PUNCT
ejpam-4551	155	9	4	4	NUM
ejpam-4551	155	10	)	)	PUNCT
ejpam-4551	155	11	(	(	PUNCT
ejpam-4551	155	12	2022	2022	NUM
ejpam-4551	155	13	)	)	PUNCT
ejpam-4551	155	14	,	,	PUNCT
ejpam-4551	155	15	1750	1750	NUM
ejpam-4551	155	16	-	-	SYM
ejpam-4551	155	17	1759	1759	NUM
ejpam-4551	155	18	1757	1757	NUM
ejpam-4551	155	19	let	let	VERB
ejpam-4551	155	20	us	we	PRON
ejpam-4551	155	21	look	look	VERB
ejpam-4551	155	22	for	for	ADP
ejpam-4551	155	23	the	the	DET
ejpam-4551	155	24	solution	solution	NOUN
ejpam-4551	155	25	of	of	ADP
ejpam-4551	155	26	(	(	PUNCT
ejpam-4551	155	27	45	45	NUM
ejpam-4551	155	28	)	)	PUNCT
ejpam-4551	155	29	in	in	ADP
ejpam-4551	155	30	the	the	DET
ejpam-4551	155	31	form	form	NOUN
ejpam-4551	155	32	of	of	ADP
ejpam-4551	155	33	a	a	DET
ejpam-4551	155	34	series	series	NOUN
ejpam-4551	155	35	and	and	CCONJ
ejpam-4551	155	36	the	the	DET
ejpam-4551	155	37	nonlinear	nonlinear	ADJ
ejpam-4551	155	38	part	part	NOUN
ejpam-4551	155	39	u(x	u(x	NOUN
ejpam-4551	155	40	,	,	PUNCT
ejpam-4551	155	41	y	y	PROPN
ejpam-4551	155	42	,	,	PUNCT
ejpam-4551	155	43	t	t	PROPN
ejpam-4551	155	44	)	)	PUNCT
ejpam-4551	155	45	=	=	PUNCT
ejpam-4551	156	1	∞∑	∞∑	PRON
ejpam-4551	156	2	n=0	n=0	NUM
ejpam-4551	156	3	un(x	un(x	NUM
ejpam-4551	156	4	,	,	PUNCT
ejpam-4551	156	5	y	y	PROPN
ejpam-4551	156	6	,	,	PUNCT
ejpam-4551	156	7	t	t	PROPN
ejpam-4551	156	8	)	)	PUNCT
ejpam-4551	156	9	and	and	CCONJ
ejpam-4551	156	10	nu(x	nu(x	NOUN
ejpam-4551	156	11	,	,	PUNCT
ejpam-4551	156	12	y	y	PROPN
ejpam-4551	156	13	,	,	PUNCT
ejpam-4551	156	14	t	t	PROPN
ejpam-4551	156	15	)	)	PUNCT
ejpam-4551	156	16	=	=	PUNCT
ejpam-4551	157	1	∞∑	∞∑	PRON
ejpam-4551	157	2	n=0	n=0	NUM
ejpam-4551	157	3	an(x	an(x	NOUN
ejpam-4551	157	4	,	,	PUNCT
ejpam-4551	157	5	y	y	PROPN
ejpam-4551	157	6	,	,	PUNCT
ejpam-4551	157	7	t	t	PROPN
ejpam-4551	157	8	)	)	PUNCT
ejpam-4551	157	9	(	(	PUNCT
ejpam-4551	157	10	49	49	NUM
ejpam-4551	157	11	)	)	PUNCT
ejpam-4551	157	12	with	with	ADP
ejpam-4551	157	13	a0	a0	PROPN
ejpam-4551	157	14	=	=	SYM
ejpam-4551	157	15	u20u0	u20u0	PROPN
ejpam-4551	157	16	.	.	PUNCT
ejpam-4551	158	1	(	(	PUNCT
ejpam-4551	158	2	50	50	NUM
ejpam-4551	158	3	)	)	PUNCT
ejpam-4551	158	4	a1	a1	NOUN
ejpam-4551	158	5	=	=	PUNCT
ejpam-4551	158	6	u20u1	u20u1	PROPN
ejpam-4551	158	7	+	+	ADJ
ejpam-4551	158	8	2u0u1u0	2u0u1u0	NUM
ejpam-4551	158	9	.	.	PUNCT
ejpam-4551	159	1	(	(	PUNCT
ejpam-4551	159	2	51	51	NUM
ejpam-4551	159	3	)	)	PUNCT
ejpam-4551	159	4	a2	a2	NOUN
ejpam-4551	159	5	=	=	SYM
ejpam-4551	159	6	u20u2	u20u2	PROPN
ejpam-4551	160	1	+	+	NOUN
ejpam-4551	160	2	2u0u0u2	2u0u0u2	NUM
ejpam-4551	160	3	+	+	NUM
ejpam-4551	160	4	2u1u1u0	2u1u1u0	NUM
ejpam-4551	160	5	+	+	NUM
ejpam-4551	160	6	u21u0	u21u0	NOUN
ejpam-4551	160	7	.	.	PUNCT
ejpam-4551	161	1	(	(	PUNCT
ejpam-4551	161	2	52	52	NUM
ejpam-4551	161	3	)	)	PUNCT
ejpam-4551	161	4	we	we	PRON
ejpam-4551	161	5	obtain	obtain	VERB
ejpam-4551	161	6	the	the	DET
ejpam-4551	161	7	following	follow	VERB
ejpam-4551	161	8	canonical	canonical	ADJ
ejpam-4551	161	9	form	form	NOUN
ejpam-4551	161	10	:	:	PUNCT
ejpam-4551	161	11	∞∑	∞∑	NUM
ejpam-4551	161	12	n=0	n=0	NUM
ejpam-4551	161	13	un(x	un(x	NUM
ejpam-4551	161	14	,	,	PUNCT
ejpam-4551	161	15	y	y	PROPN
ejpam-4551	161	16	,	,	PUNCT
ejpam-4551	161	17	t	t	PROPN
ejpam-4551	161	18	)	)	PUNCT
ejpam-4551	161	19	=	=	SYM
ejpam-4551	161	20	u(x	u(x	PROPN
ejpam-4551	161	21	,	,	PUNCT
ejpam-4551	161	22	y	y	NOUN
ejpam-4551	161	23	,	,	PUNCT
ejpam-4551	161	24	0)+(1	0)+(1	NOUN
ejpam-4551	161	25	+	+	NOUN
ejpam-4551	161	26	2i	2i	NUM
ejpam-4551	161	27	)	)	PUNCT
ejpam-4551	162	1	∫	∫	PROPN
ejpam-4551	162	2	t	t	PROPN
ejpam-4551	162	3	0	0	NUM
ejpam-4551	163	1	∆un(x	∆un(x	PROPN
ejpam-4551	163	2	,	,	PUNCT
ejpam-4551	163	3	y	y	PROPN
ejpam-4551	163	4	,	,	PUNCT
ejpam-4551	163	5	s)ds−(1	s)ds−(1	NOUN
ejpam-4551	163	6	+	+	NOUN
ejpam-4551	163	7	2i	2i	NUM
ejpam-4551	163	8	)	)	PUNCT
ejpam-4551	163	9	∫	∫	PROPN
ejpam-4551	163	10	t	t	PROPN
ejpam-4551	163	11	0	0	NUM
ejpam-4551	163	12	ands+γ	ands+γ	VERB
ejpam-4551	163	13	∫	∫	PROPN
ejpam-4551	163	14	t	t	PROPN
ejpam-4551	163	15	0	0	NUM
ejpam-4551	163	16	un(x	un(x	PROPN
ejpam-4551	163	17	,	,	PUNCT
ejpam-4551	163	18	y	y	PROPN
ejpam-4551	163	19	,	,	PUNCT
ejpam-4551	163	20	s)ds	s)ds	PROPN
ejpam-4551	163	21	(	(	PUNCT
ejpam-4551	163	22	53	53	NUM
ejpam-4551	163	23	)	)	PUNCT
ejpam-4551	163	24	from	from	ADP
ejpam-4551	163	25	(	(	PUNCT
ejpam-4551	163	26	53	53	NUM
ejpam-4551	163	27	)	)	PUNCT
ejpam-4551	163	28	,	,	PUNCT
ejpam-4551	163	29	for	for	ADP
ejpam-4551	163	30	γ	γ	X
ejpam-4551	163	31	=	=	SYM
ejpam-4551	163	32	1	1	NUM
ejpam-4551	163	33	+	+	NUM
ejpam-4551	163	34	2π2	2π2	NUM
ejpam-4551	163	35	9	9	NUM
ejpam-4551	163	36	(	(	PUNCT
ejpam-4551	163	37	because	because	SCONJ
ejpam-4551	163	38	γ	γ	NOUN
ejpam-4551	163	39	is	be	AUX
ejpam-4551	163	40	a	a	DET
ejpam-4551	163	41	constant	constant	ADJ
ejpam-4551	163	42	)	)	PUNCT
ejpam-4551	163	43	,	,	PUNCT
ejpam-4551	163	44	we	we	PRON
ejpam-4551	163	45	obtain	obtain	VERB
ejpam-4551	163	46	the	the	DET
ejpam-4551	163	47	following	following	ADJ
ejpam-4551	163	48	adomian	adomian	NOUN
ejpam-4551	163	49	algorithm:	algorithm:	PROPN
ejpam-4551	163	50	u0(x	u0(x	PROPN
ejpam-4551	163	51	,	,	PUNCT
ejpam-4551	163	52	y	y	PROPN
ejpam-4551	163	53	,	,	PUNCT
ejpam-4551	163	54	t	t	PROPN
ejpam-4551	163	55	)	)	PUNCT
ejpam-4551	163	56	=	=	PUNCT
ejpam-4551	164	1	e	e	X
ejpam-4551	164	2	i	i	NOUN
ejpam-4551	164	3	π	π	PROPN
ejpam-4551	164	4	3	3	X
ejpam-4551	164	5	(	(	PUNCT
ejpam-4551	164	6	x+	x+	PROPN
ejpam-4551	164	7	y	y	NOUN
ejpam-4551	164	8	)	)	PUNCT
ejpam-4551	164	9	un+1(x	un+1(x	PROPN
ejpam-4551	164	10	,	,	PUNCT
ejpam-4551	164	11	y	y	PROPN
ejpam-4551	164	12	,	,	PUNCT
ejpam-4551	164	13	t	t	PROPN
ejpam-4551	164	14	)	)	PUNCT
ejpam-4551	164	15	=	=	SYM
ejpam-4551	165	1	∫	∫	PROPN
ejpam-4551	165	2	t	t	PROPN
ejpam-4551	165	3	0	0	NUM
ejpam-4551	166	1	(	(	PUNCT
ejpam-4551	166	2	1	1	NUM
ejpam-4551	166	3	+	+	NUM
ejpam-4551	166	4	2i)∆un(x	2i)∆un(x	NUM
ejpam-4551	166	5	,	,	PUNCT
ejpam-4551	166	6	y	y	PROPN
ejpam-4551	166	7	,	,	PUNCT
ejpam-4551	166	8	s)ds−	s)ds−	PROPN
ejpam-4551	166	9	(	(	PUNCT
ejpam-4551	166	10	1	1	NUM
ejpam-4551	166	11	+	+	NUM
ejpam-4551	166	12	2i	2i	NUM
ejpam-4551	166	13	)	)	PUNCT
ejpam-4551	166	14	∫	∫	PROPN
ejpam-4551	167	1	t	t	PROPN
ejpam-4551	167	2	0	0	NUM
ejpam-4551	167	3	ands+	ands+	PUNCT
ejpam-4551	167	4	(	(	PUNCT
ejpam-4551	167	5	1	1	NUM
ejpam-4551	167	6	+	+	NUM
ejpam-4551	167	7	2π2	2π2	NUM
ejpam-4551	167	8	9	9	NUM
ejpam-4551	167	9	)	)	PUNCT
ejpam-4551	167	10	∫	∫	PROPN
ejpam-4551	167	11	t	t	PROPN
ejpam-4551	167	12	0	0	NUM
ejpam-4551	167	13	un(x	un(x	PROPN
ejpam-4551	167	14	,	,	PUNCT
ejpam-4551	167	15	y	y	PROPN
ejpam-4551	167	16	,	,	PUNCT
ejpam-4551	167	17	s)ds	s)ds	PROPN
ejpam-4551	167	18	(	(	PUNCT
ejpam-4551	167	19	54	54	NUM
ejpam-4551	167	20	)	)	PUNCT
ejpam-4551	167	21	for	for	ADP
ejpam-4551	167	22	n	n	NOUN
ejpam-4551	167	23	=	=	SYM
ejpam-4551	167	24	0	0	NUM
ejpam-4551	167	25	,	,	PUNCT
ejpam-4551	167	26	u1(x	u1(x	PROPN
ejpam-4551	167	27	,	,	PUNCT
ejpam-4551	167	28	y	y	PROPN
ejpam-4551	167	29	,	,	PUNCT
ejpam-4551	167	30	t	t	PROPN
ejpam-4551	167	31	)	)	PUNCT
ejpam-4551	167	32	=	=	SYM
ejpam-4551	168	1	∫	∫	PROPN
ejpam-4551	168	2	t	t	PROPN
ejpam-4551	168	3	0	0	NUM
ejpam-4551	169	1	(	(	PUNCT
ejpam-4551	169	2	1	1	NUM
ejpam-4551	169	3	+	+	NOUN
ejpam-4551	169	4	2i)∆u0(x	2i)∆u0(x	PROPN
ejpam-4551	169	5	,	,	PUNCT
ejpam-4551	169	6	y	y	PROPN
ejpam-4551	169	7	,	,	PUNCT
ejpam-4551	169	8	s)ds−	s)ds−	PROPN
ejpam-4551	169	9	(	(	PUNCT
ejpam-4551	169	10	1	1	NUM
ejpam-4551	169	11	+	+	NOUN
ejpam-4551	169	12	2i	2i	NUM
ejpam-4551	169	13	)	)	PUNCT
ejpam-4551	169	14	∫	∫	PROPN
ejpam-4551	169	15	t	t	PROPN
ejpam-4551	169	16	0	0	NUM
ejpam-4551	169	17	a0ds+(1	a0ds+(1	PROPN
ejpam-4551	169	18	+	+	ADP
ejpam-4551	169	19	2π2	2π2	NUM
ejpam-4551	169	20	9	9	NUM
ejpam-4551	169	21	)	)	PUNCT
ejpam-4551	169	22	∫	∫	PROPN
ejpam-4551	170	1	t	t	PROPN
ejpam-4551	170	2	0	0	NUM
ejpam-4551	170	3	u0(x	u0(x	PROPN
ejpam-4551	170	4	,	,	PUNCT
ejpam-4551	170	5	y	y	PROPN
ejpam-4551	170	6	,	,	PUNCT
ejpam-4551	170	7	s)ds	s)ds	PROPN
ejpam-4551	170	8	(	(	PUNCT
ejpam-4551	170	9	55	55	NUM
ejpam-4551	170	10	)	)	PUNCT
ejpam-4551	170	11	with	with	ADP
ejpam-4551	170	12	∆u0(x	∆u0(x	ADJ
ejpam-4551	170	13	,	,	PUNCT
ejpam-4551	170	14	y	y	PROPN
ejpam-4551	170	15	,	,	PUNCT
ejpam-4551	170	16	t	t	PROPN
ejpam-4551	170	17	)	)	PUNCT
ejpam-4551	170	18	=	=	SYM
ejpam-4551	170	19	−2π2	−2π2	PROPN
ejpam-4551	170	20	9	9	NUM
ejpam-4551	170	21	e	e	NOUN
ejpam-4551	170	22	i	i	NOUN
ejpam-4551	170	23	π	π	PROPN
ejpam-4551	170	24	3	3	X
ejpam-4551	170	25	(	(	PUNCT
ejpam-4551	170	26	x+	x+	PROPN
ejpam-4551	170	27	y	y	NOUN
ejpam-4551	170	28	)	)	PUNCT
ejpam-4551	170	29	and	and	CCONJ
ejpam-4551	170	30	a0	a0	NOUN
ejpam-4551	170	31	=	=	SYM
ejpam-4551	171	1	e	e	NOUN
ejpam-4551	171	2	i	i	NOUN
ejpam-4551	171	3	π	π	PROPN
ejpam-4551	171	4	3	3	X
ejpam-4551	171	5	(	(	PUNCT
ejpam-4551	171	6	x+	x+	PROPN
ejpam-4551	171	7	y	y	NOUN
ejpam-4551	171	8	)	)	PUNCT
ejpam-4551	171	9	(	(	PUNCT
ejpam-4551	171	10	55	55	NUM
ejpam-4551	171	11	)	)	PUNCT
ejpam-4551	171	12	,	,	PUNCT
ejpam-4551	171	13	gives	give	VERB
ejpam-4551	171	14	us	we	PRON
ejpam-4551	171	15	u1(x	u1(x	PROPN
ejpam-4551	171	16	,	,	PUNCT
ejpam-4551	171	17	y	y	PROPN
ejpam-4551	171	18	,	,	PUNCT
ejpam-4551	171	19	t	t	PROPN
ejpam-4551	171	20	)	)	PUNCT
ejpam-4551	171	21	=	=	PUNCT
ejpam-4551	172	1	−2i	−2i	PROPN
ejpam-4551	172	2	(	(	PUNCT
ejpam-4551	172	3	1	1	NUM
ejpam-4551	172	4	+	+	NUM
ejpam-4551	172	5	2π2	2π2	NUM
ejpam-4551	172	6	9	9	NUM
ejpam-4551	172	7	)	)	PUNCT
ejpam-4551	172	8	te	te	ADP
ejpam-4551	172	9	i	i	NOUN
ejpam-4551	172	10	π	π	PROPN
ejpam-4551	172	11	3	3	X
ejpam-4551	172	12	(	(	PUNCT
ejpam-4551	172	13	x+	x+	PROPN
ejpam-4551	172	14	y	y	NOUN
ejpam-4551	172	15	)	)	PUNCT
ejpam-4551	172	16	for	for	ADP
ejpam-4551	172	17	n	n	NOUN
ejpam-4551	172	18	=	=	SYM
ejpam-4551	172	19	2	2	NUM
ejpam-4551	172	20	,	,	PUNCT
ejpam-4551	172	21	u2(x	u2(x	PRON
ejpam-4551	172	22	,	,	PUNCT
ejpam-4551	172	23	y	y	PROPN
ejpam-4551	172	24	,	,	PUNCT
ejpam-4551	172	25	t	t	PROPN
ejpam-4551	172	26	)	)	PUNCT
ejpam-4551	172	27	=	=	SYM
ejpam-4551	173	1	∫	∫	PROPN
ejpam-4551	173	2	t	t	PROPN
ejpam-4551	173	3	0	0	NUM
ejpam-4551	173	4	(	(	PUNCT
ejpam-4551	173	5	1	1	NUM
ejpam-4551	173	6	+	+	NOUN
ejpam-4551	173	7	2i)∆u1(x	2i)∆u1(x	NUM
ejpam-4551	173	8	,	,	PUNCT
ejpam-4551	173	9	y	y	PROPN
ejpam-4551	173	10	,	,	PUNCT
ejpam-4551	173	11	s)ds−	s)ds−	PROPN
ejpam-4551	173	12	(	(	PUNCT
ejpam-4551	173	13	1	1	NUM
ejpam-4551	173	14	+	+	NOUN
ejpam-4551	173	15	2i	2i	NUM
ejpam-4551	173	16	)	)	PUNCT
ejpam-4551	173	17	∫	∫	PROPN
ejpam-4551	174	1	t	t	PROPN
ejpam-4551	174	2	0	0	NUM
ejpam-4551	175	1	a1ds+(1	a1ds+(1	ADJ
ejpam-4551	176	1	+	+	NUM
ejpam-4551	176	2	2π2	2π2	NUM
ejpam-4551	176	3	9	9	NUM
ejpam-4551	176	4	)	)	PUNCT
ejpam-4551	176	5	∫	∫	PROPN
ejpam-4551	177	1	t	t	NOUN
ejpam-4551	177	2	0	0	NUM
ejpam-4551	178	1	u1(x	u1(x	PROPN
ejpam-4551	178	2	,	,	PUNCT
ejpam-4551	178	3	y	y	PROPN
ejpam-4551	178	4	,	,	PUNCT
ejpam-4551	178	5	s)ds	s)ds	PROPN
ejpam-4551	178	6	(	(	PUNCT
ejpam-4551	178	7	56	56	NUM
ejpam-4551	178	8	)	)	PUNCT
ejpam-4551	178	9	with	with	ADP
ejpam-4551	178	10	∆u1(x	∆u1(x	NOUN
ejpam-4551	178	11	,	,	PUNCT
ejpam-4551	178	12	y	y	PROPN
ejpam-4551	178	13	,	,	PUNCT
ejpam-4551	178	14	t	t	PROPN
ejpam-4551	178	15	)	)	PUNCT
ejpam-4551	178	16	=	=	PUNCT
ejpam-4551	179	1	4iπ	4iπ	ADJ
ejpam-4551	179	2	2	2	NUM
ejpam-4551	179	3	9	9	NUM
ejpam-4551	179	4	(	(	PUNCT
ejpam-4551	179	5	1	1	NUM
ejpam-4551	179	6	+	+	NUM
ejpam-4551	179	7	2π2	2π2	NUM
ejpam-4551	179	8	9	9	NUM
ejpam-4551	179	9	)	)	PUNCT
ejpam-4551	179	10	te	te	ADP
ejpam-4551	179	11	i	i	NOUN
ejpam-4551	179	12	π	π	PROPN
ejpam-4551	179	13	3	3	X
ejpam-4551	179	14	(	(	PUNCT
ejpam-4551	179	15	x+	x+	PROPN
ejpam-4551	179	16	y	y	NOUN
ejpam-4551	179	17	)	)	PUNCT
ejpam-4551	179	18	and	and	CCONJ
ejpam-4551	179	19	a1	a1	NOUN
ejpam-4551	179	20	=	=	SYM
ejpam-4551	179	21	−2i(1	−2i(1	PROPN
ejpam-4551	179	22	+	+	NUM
ejpam-4551	179	23	2π2	2π2	NUM
ejpam-4551	179	24	9	9	NUM
ejpam-4551	179	25	)	)	PUNCT
ejpam-4551	179	26	te	te	ADP
ejpam-4551	179	27	i	i	NOUN
ejpam-4551	179	28	π	π	PROPN
ejpam-4551	179	29	3	3	X
ejpam-4551	179	30	(	(	PUNCT
ejpam-4551	179	31	x+	x+	PROPN
ejpam-4551	179	32	y	y	NOUN
ejpam-4551	179	33	)	)	PUNCT
ejpam-4551	179	34	so	so	ADV
ejpam-4551	179	35	u2(x	u2(x	PROPN
ejpam-4551	179	36	,	,	PUNCT
ejpam-4551	179	37	y	y	PROPN
ejpam-4551	179	38	,	,	PUNCT
ejpam-4551	179	39	t	t	PROPN
ejpam-4551	179	40	)	)	PUNCT
ejpam-4551	179	41	=	=	SYM
ejpam-4551	179	42	−4	−4	X
ejpam-4551	179	43	(	(	PUNCT
ejpam-4551	179	44	1	1	NUM
ejpam-4551	179	45	+	+	NUM
ejpam-4551	179	46	2π2	2π2	NUM
ejpam-4551	179	47	9	9	NUM
ejpam-4551	179	48	)	)	SYM
ejpam-4551	179	49	2	2	NUM
ejpam-4551	179	50	t2	t2	NOUN
ejpam-4551	179	51	2	2	NUM
ejpam-4551	179	52	e	e	NOUN
ejpam-4551	179	53	i	i	NOUN
ejpam-4551	179	54	π	π	PROPN
ejpam-4551	179	55	3	3	X
ejpam-4551	179	56	(	(	PUNCT
ejpam-4551	179	57	x+	x+	PROPN
ejpam-4551	179	58	y	y	NOUN
ejpam-4551	179	59	)	)	PUNCT
ejpam-4551	179	60	(	(	PUNCT
ejpam-4551	179	61	57	57	NUM
ejpam-4551	179	62	)	)	PUNCT
ejpam-4551	179	63	references	reference	NOUN
ejpam-4551	179	64	1758	1758	NUM
ejpam-4551	179	65	for	for	ADP
ejpam-4551	179	66	n	n	NOUN
ejpam-4551	179	67	=	=	SYM
ejpam-4551	179	68	3	3	NUM
ejpam-4551	179	69	,	,	PUNCT
ejpam-4551	179	70	u3(x	u3(x	PROPN
ejpam-4551	179	71	,	,	PUNCT
ejpam-4551	179	72	y	y	PROPN
ejpam-4551	179	73	,	,	PUNCT
ejpam-4551	179	74	t	t	PROPN
ejpam-4551	179	75	)	)	PUNCT
ejpam-4551	179	76	=	=	SYM
ejpam-4551	180	1	∫	∫	PROPN
ejpam-4551	180	2	t	t	PROPN
ejpam-4551	180	3	0	0	NUM
ejpam-4551	180	4	(	(	PUNCT
ejpam-4551	180	5	1	1	NUM
ejpam-4551	180	6	+	+	NOUN
ejpam-4551	180	7	2i)∆u2(x	2i)∆u2(x	NUM
ejpam-4551	180	8	,	,	PUNCT
ejpam-4551	180	9	y	y	PROPN
ejpam-4551	180	10	,	,	PUNCT
ejpam-4551	180	11	s)ds−	s)ds−	PROPN
ejpam-4551	180	12	(	(	PUNCT
ejpam-4551	180	13	1	1	NUM
ejpam-4551	180	14	+	+	NOUN
ejpam-4551	180	15	2i	2i	NUM
ejpam-4551	180	16	)	)	PUNCT
ejpam-4551	180	17	∫	∫	PROPN
ejpam-4551	181	1	t	t	NOUN
ejpam-4551	181	2	0	0	NUM
ejpam-4551	181	3	a2ds+(1	a2ds+(1	ADJ
ejpam-4551	181	4	+	+	NUM
ejpam-4551	181	5	2π2	2π2	NUM
ejpam-4551	181	6	9	9	NUM
ejpam-4551	181	7	)	)	PUNCT
ejpam-4551	181	8	∫	∫	PROPN
ejpam-4551	182	1	t	t	PROPN
ejpam-4551	182	2	0	0	NUM
ejpam-4551	182	3	u2(x	u2(x	PROPN
ejpam-4551	182	4	,	,	PUNCT
ejpam-4551	182	5	y	y	PROPN
ejpam-4551	182	6	,	,	PUNCT
ejpam-4551	182	7	s)ds	s)ds	PROPN
ejpam-4551	182	8	(	(	PUNCT
ejpam-4551	182	9	58	58	NUM
ejpam-4551	182	10	)	)	PUNCT
ejpam-4551	182	11	with	with	ADP
ejpam-4551	182	12	∆u2(x	∆u2(x	PROPN
ejpam-4551	182	13	,	,	PUNCT
ejpam-4551	182	14	y	y	PROPN
ejpam-4551	182	15	,	,	PUNCT
ejpam-4551	182	16	t	t	PROPN
ejpam-4551	182	17	)	)	PUNCT
ejpam-4551	182	18	=	=	SYM
ejpam-4551	182	19	8π2	8π2	NUM
ejpam-4551	182	20	9	9	NUM
ejpam-4551	182	21	(	(	PUNCT
ejpam-4551	182	22	1	1	NUM
ejpam-4551	182	23	+	+	NUM
ejpam-4551	182	24	2π2	2π2	NUM
ejpam-4551	182	25	9	9	NUM
ejpam-4551	182	26	)	)	SYM
ejpam-4551	182	27	2	2	NUM
ejpam-4551	182	28	t2	t2	NOUN
ejpam-4551	182	29	2	2	NUM
ejpam-4551	182	30	e	e	NOUN
ejpam-4551	182	31	i	i	NOUN
ejpam-4551	182	32	π	π	PROPN
ejpam-4551	182	33	3	3	X
ejpam-4551	182	34	(	(	PUNCT
ejpam-4551	182	35	x+	x+	PROPN
ejpam-4551	182	36	y	y	NOUN
ejpam-4551	182	37	)	)	PUNCT
ejpam-4551	182	38	and	and	CCONJ
ejpam-4551	182	39	a2	a2	PROPN
ejpam-4551	182	40	=	=	SYM
ejpam-4551	182	41	−4	−4	PROPN
ejpam-4551	182	42	(	(	PUNCT
ejpam-4551	182	43	1	1	NUM
ejpam-4551	182	44	+	+	NUM
ejpam-4551	182	45	2π2	2π2	NUM
ejpam-4551	182	46	9	9	NUM
ejpam-4551	182	47	)	)	SYM
ejpam-4551	182	48	2	2	NUM
ejpam-4551	182	49	t2	t2	NOUN
ejpam-4551	182	50	2	2	NUM
ejpam-4551	182	51	e	e	NOUN
ejpam-4551	182	52	i	i	NOUN
ejpam-4551	182	53	π	π	PROPN
ejpam-4551	182	54	3	3	X
ejpam-4551	182	55	(	(	PUNCT
ejpam-4551	182	56	x+	x+	PROPN
ejpam-4551	182	57	y	y	X
ejpam-4551	182	58	)	)	PUNCT
ejpam-4551	183	1	so	so	ADV
ejpam-4551	183	2	u3(x	u3(x	PROPN
ejpam-4551	183	3	,	,	PUNCT
ejpam-4551	183	4	y	y	PROPN
ejpam-4551	183	5	,	,	PUNCT
ejpam-4551	183	6	t	t	PROPN
ejpam-4551	183	7	)	)	PUNCT
ejpam-4551	183	8	=	=	PUNCT
ejpam-4551	183	9	8i	8i	NUM
ejpam-4551	183	10	(	(	PUNCT
ejpam-4551	183	11	1	1	NUM
ejpam-4551	183	12	+	+	NUM
ejpam-4551	183	13	2π2	2π2	NUM
ejpam-4551	183	14	9	9	NUM
ejpam-4551	183	15	)	)	PUNCT
ejpam-4551	183	16	3	3	NUM
ejpam-4551	183	17	t3	t3	NOUN
ejpam-4551	183	18	3	3	NUM
ejpam-4551	183	19	!	!	PUNCT
ejpam-4551	184	1	e	e	NOUN
ejpam-4551	184	2	i	i	PRON
ejpam-4551	184	3	π	π	PROPN
ejpam-4551	184	4	3	3	X
ejpam-4551	184	5	(	(	PUNCT
ejpam-4551	184	6	x+	x+	PROPN
ejpam-4551	184	7	y	y	NOUN
ejpam-4551	184	8	)	)	PUNCT
ejpam-4551	184	9	(	(	PUNCT
ejpam-4551	184	10	59	59	NUM
ejpam-4551	184	11	)	)	PUNCT
ejpam-4551	184	12	then	then	ADV
ejpam-4551	184	13	u(x	u(x	VERB
ejpam-4551	184	14	,	,	PUNCT
ejpam-4551	184	15	y	y	PROPN
ejpam-4551	184	16	,	,	PUNCT
ejpam-4551	184	17	t	t	PROPN
ejpam-4551	184	18	)	)	PUNCT
ejpam-4551	184	19	=	=	PUNCT
ejpam-4551	185	1	∞∑	∞∑	PRON
ejpam-4551	185	2	n=0	n=0	NUM
ejpam-4551	185	3	un(x	un(x	NUM
ejpam-4551	185	4	,	,	PUNCT
ejpam-4551	185	5	y	y	PROPN
ejpam-4551	185	6	,	,	PUNCT
ejpam-4551	185	7	t	t	PROPN
ejpam-4551	185	8	)	)	PUNCT
ejpam-4551	185	9	=	=	SYM
ejpam-4551	185	10	u0(x	u0(x	PROPN
ejpam-4551	185	11	,	,	PUNCT
ejpam-4551	185	12	y	y	PROPN
ejpam-4551	185	13	,	,	PUNCT
ejpam-4551	185	14	t	t	PROPN
ejpam-4551	185	15	)	)	PUNCT
ejpam-4551	185	16	+	+	PUNCT
ejpam-4551	186	1	u1(x	u1(x	PROPN
ejpam-4551	186	2	,	,	PUNCT
ejpam-4551	186	3	y	y	PROPN
ejpam-4551	186	4	,	,	PUNCT
ejpam-4551	186	5	t	t	PROPN
ejpam-4551	186	6	)	)	PUNCT
ejpam-4551	186	7	+	+	CCONJ
ejpam-4551	186	8	u2(x	u2(x	PROPN
ejpam-4551	186	9	,	,	PUNCT
ejpam-4551	186	10	y	y	PROPN
ejpam-4551	186	11	,	,	PUNCT
ejpam-4551	186	12	t	t	PROPN
ejpam-4551	186	13	)	)	PUNCT
ejpam-4551	186	14	+	+	CCONJ
ejpam-4551	187	1	u3(x	u3(x	PROPN
ejpam-4551	187	2	,	,	PUNCT
ejpam-4551	187	3	y	y	PROPN
ejpam-4551	187	4	,	,	PUNCT
ejpam-4551	187	5	t	t	PROPN
ejpam-4551	187	6	)	)	PUNCT
ejpam-4551	187	7	+	+	CCONJ
ejpam-4551	187	8	...	...	PUNCT
ejpam-4551	187	9	(	(	PUNCT
ejpam-4551	187	10	60	60	NUM
ejpam-4551	187	11	)	)	PUNCT
ejpam-4551	187	12	u(x	u(x	PROPN
ejpam-4551	187	13	,	,	PUNCT
ejpam-4551	187	14	y	y	PROPN
ejpam-4551	187	15	,	,	PUNCT
ejpam-4551	187	16	t	t	PROPN
ejpam-4551	187	17	)	)	PUNCT
ejpam-4551	187	18	=	=	PUNCT
ejpam-4551	188	1	[	[	PUNCT
ejpam-4551	188	2	1−	1−	NUM
ejpam-4551	188	3	2i	2i	NUM
ejpam-4551	188	4	(	(	PUNCT
ejpam-4551	188	5	1	1	NUM
ejpam-4551	188	6	+	+	NUM
ejpam-4551	188	7	2π2	2π2	NUM
ejpam-4551	188	8	9	9	NUM
ejpam-4551	188	9	)	)	PUNCT
ejpam-4551	188	10	t−	t−	PROPN
ejpam-4551	188	11	4	4	NUM
ejpam-4551	188	12	(	(	PUNCT
ejpam-4551	188	13	1	1	NUM
ejpam-4551	188	14	+	+	NUM
ejpam-4551	188	15	2π2	2π2	NUM
ejpam-4551	188	16	9	9	NUM
ejpam-4551	188	17	)	)	SYM
ejpam-4551	188	18	2	2	NUM
ejpam-4551	188	19	t2	t2	NOUN
ejpam-4551	188	20	2	2	NUM
ejpam-4551	188	21	+	+	CCONJ
ejpam-4551	188	22	8i	8i	NUM
ejpam-4551	188	23	(	(	PUNCT
ejpam-4551	188	24	1	1	NUM
ejpam-4551	188	25	+	+	NUM
ejpam-4551	188	26	2π2	2π2	NUM
ejpam-4551	188	27	9	9	NUM
ejpam-4551	188	28	)	)	PUNCT
ejpam-4551	188	29	3	3	NUM
ejpam-4551	188	30	t3	t3	NOUN
ejpam-4551	188	31	3	3	NUM
ejpam-4551	188	32	+	+	CCONJ
ejpam-4551	188	33	...	...	PUNCT
ejpam-4551	188	34	]	]	PUNCT
ejpam-4551	189	1	e	e	X
ejpam-4551	189	2	i	i	NOUN
ejpam-4551	189	3	π	π	PROPN
ejpam-4551	189	4	3	3	X
ejpam-4551	189	5	(	(	PUNCT
ejpam-4551	189	6	x+	x+	PROPN
ejpam-4551	189	7	y	y	NOUN
ejpam-4551	189	8	)	)	PUNCT
ejpam-4551	189	9	(	(	PUNCT
ejpam-4551	189	10	61	61	NUM
ejpam-4551	189	11	)	)	PUNCT
ejpam-4551	189	12	this	this	PRON
ejpam-4551	189	13	implies	imply	VERB
ejpam-4551	189	14	u(x	u(x	PROPN
ejpam-4551	189	15	,	,	PUNCT
ejpam-4551	189	16	y	y	PROPN
ejpam-4551	189	17	,	,	PUNCT
ejpam-4551	189	18	t	t	PROPN
ejpam-4551	189	19	)	)	PUNCT
ejpam-4551	189	20	=	=	PUNCT
ejpam-4551	190	1	∞∑	∞∑	NUM
ejpam-4551	190	2	n=0	n=0	PUNCT
ejpam-4551	190	3	[	[	PUNCT
ejpam-4551	190	4	−2i	−2i	PROPN
ejpam-4551	190	5	(	(	PUNCT
ejpam-4551	190	6	1	1	NUM
ejpam-4551	190	7	+	+	NUM
ejpam-4551	190	8	2π2	2π2	NUM
ejpam-4551	190	9	9	9	NUM
ejpam-4551	190	10	)	)	PUNCT
ejpam-4551	190	11	]	]	PUNCT
ejpam-4551	190	12	n	n	PRON
ejpam-4551	190	13	n	n	CCONJ
ejpam-4551	190	14	!	!	PUNCT
ejpam-4551	191	1	e	e	X
ejpam-4551	191	2	i	i	PRON
ejpam-4551	191	3	π	π	PROPN
ejpam-4551	191	4	3	3	X
ejpam-4551	191	5	(	(	PUNCT
ejpam-4551	191	6	x+	x+	PROPN
ejpam-4551	191	7	y	y	NOUN
ejpam-4551	191	8	)	)	PUNCT
ejpam-4551	191	9	.	.	PUNCT
ejpam-4551	192	1	(	(	PUNCT
ejpam-4551	192	2	62	62	NUM
ejpam-4551	192	3	)	)	PUNCT
ejpam-4551	192	4	then	then	ADV
ejpam-4551	192	5	the	the	DET
ejpam-4551	192	6	exact	exact	ADJ
ejpam-4551	192	7	solution	solution	NOUN
ejpam-4551	192	8	of	of	ADP
ejpam-4551	192	9	the	the	DET
ejpam-4551	192	10	landau	landau	NOUN
ejpam-4551	192	11	-	-	PUNCT
ejpam-4551	192	12	ginzburg	ginzburg	NOUN
ejpam-4551	192	13	equation	equation	NOUN
ejpam-4551	192	14	in	in	ADP
ejpam-4551	192	15	dimension	dimension	NOUN
ejpam-4551	192	16	two	two	NUM
ejpam-4551	192	17	is	be	AUX
ejpam-4551	192	18	:	:	PUNCT
ejpam-4551	192	19	u(x	u(x	PROPN
ejpam-4551	192	20	,	,	PUNCT
ejpam-4551	192	21	y	y	PROPN
ejpam-4551	192	22	,	,	PUNCT
ejpam-4551	192	23	t	t	PROPN
ejpam-4551	192	24	)	)	PUNCT
ejpam-4551	192	25	=	=	PUNCT
ejpam-4551	193	1	e	e	X
ejpam-4551	193	2	i	i	PRON
ejpam-4551	193	3	π	π	VERB
ejpam-4551	193	4	3	3	NUM
ejpam-4551	193	5	(	(	PUNCT
ejpam-4551	193	6	x+	x+	X
ejpam-4551	193	7	y)−	y)−	PROPN
ejpam-4551	193	8	2	2	NUM
ejpam-4551	193	9	(	(	PUNCT
ejpam-4551	193	10	1	1	NUM
ejpam-4551	193	11	+	+	NUM
ejpam-4551	193	12	2π2	2π2	NUM
ejpam-4551	193	13	9	9	NUM
ejpam-4551	193	14	)	)	PUNCT
ejpam-4551	193	15	t	t	NOUN
ejpam-4551	193	16			NOUN
ejpam-4551	193	17	.	.	PUNCT
ejpam-4551	194	1	(	(	PUNCT
ejpam-4551	194	2	63	63	NUM
ejpam-4551	194	3	)	)	PUNCT
ejpam-4551	194	4	5	5	NUM
ejpam-4551	194	5	.	.	PUNCT
ejpam-4551	194	6	conclusion	conclusion	NOUN
ejpam-4551	194	7	in	in	ADP
ejpam-4551	194	8	this	this	DET
ejpam-4551	194	9	paper	paper	NOUN
ejpam-4551	194	10	,	,	PUNCT
ejpam-4551	194	11	the	the	DET
ejpam-4551	194	12	adomian	adomian	NOUN
ejpam-4551	194	13	decomposition	decomposition	NOUN
ejpam-4551	194	14	method	method	NOUN
ejpam-4551	194	15	has	have	AUX
ejpam-4551	194	16	been	be	AUX
ejpam-4551	194	17	used	use	VERB
ejpam-4551	194	18	to	to	PART
ejpam-4551	194	19	solve	solve	VERB
ejpam-4551	194	20	the	the	DET
ejpam-4551	194	21	complex	complex	ADJ
ejpam-4551	194	22	model	model	NOUN
ejpam-4551	194	23	of	of	ADP
ejpam-4551	194	24	the	the	DET
ejpam-4551	194	25	landau	landau	NOUN
ejpam-4551	194	26	ginzburg	ginzburg	NOUN
ejpam-4551	194	27	equation	equation	NOUN
ejpam-4551	194	28	.	.	PUNCT
ejpam-4551	195	1	in	in	ADP
ejpam-4551	195	2	order	order	NOUN
ejpam-4551	195	3	to	to	PART
ejpam-4551	195	4	show	show	VERB
ejpam-4551	195	5	the	the	DET
ejpam-4551	195	6	importance	importance	NOUN
ejpam-4551	195	7	and	and	CCONJ
ejpam-4551	195	8	applicability	applicability	NOUN
ejpam-4551	195	9	of	of	ADP
ejpam-4551	195	10	the	the	DET
ejpam-4551	195	11	proposed	propose	VERB
ejpam-4551	195	12	method	method	NOUN
ejpam-4551	195	13	,	,	PUNCT
ejpam-4551	195	14	the	the	DET
ejpam-4551	195	15	adomian	adomian	NOUN
ejpam-4551	195	16	polynomial	polynomial	NOUN
ejpam-4551	195	17	manipulated	manipulate	VERB
ejpam-4551	195	18	in	in	ADP
ejpam-4551	195	19	this	this	DET
ejpam-4551	195	20	article	article	NOUN
ejpam-4551	195	21	allowed	allow	VERB
ejpam-4551	195	22	us	we	PRON
ejpam-4551	195	23	to	to	PART
ejpam-4551	195	24	find	find	VERB
ejpam-4551	195	25	the	the	DET
ejpam-4551	195	26	exact	exact	ADJ
ejpam-4551	195	27	solution	solution	NOUN
ejpam-4551	195	28	of	of	ADP
ejpam-4551	195	29	the	the	DET
ejpam-4551	195	30	studied	studied	ADJ
ejpam-4551	195	31	problem	problem	NOUN
ejpam-4551	195	32	.	.	PUNCT
ejpam-4551	196	1	references	reference	NOUN
ejpam-4551	196	2	[	[	X
ejpam-4551	196	3	1	1	NUM
ejpam-4551	196	4	]	]	PUNCT
ejpam-4551	196	5	george	george	PROPN
ejpam-4551	196	6	adomian	adomian	PROPN
ejpam-4551	196	7	.	.	PUNCT
ejpam-4551	197	1	a	a	DET
ejpam-4551	197	2	review	review	NOUN
ejpam-4551	197	3	of	of	ADP
ejpam-4551	197	4	the	the	DET
ejpam-4551	197	5	decomposition	decomposition	NOUN
ejpam-4551	197	6	method	method	NOUN
ejpam-4551	197	7	in	in	ADP
ejpam-4551	197	8	applied	applied	ADJ
ejpam-4551	197	9	mathematics	mathematic	NOUN
ejpam-4551	197	10	.	.	PUNCT
ejpam-4551	198	1	journal	journal	PROPN
ejpam-4551	198	2	of	of	ADP
ejpam-4551	198	3	mathematical	mathematical	ADJ
ejpam-4551	198	4	analysis	analysis	NOUN
ejpam-4551	198	5	and	and	CCONJ
ejpam-4551	198	6	applications	application	NOUN
ejpam-4551	198	7	.	.	PUNCT
ejpam-4551	199	1	[	[	X
ejpam-4551	199	2	2	2	NUM
ejpam-4551	199	3	]	]	PUNCT
ejpam-4551	199	4	george	george	PROPN
ejpam-4551	199	5	adomian	adomian	NOUN
ejpam-4551	199	6	.	.	PUNCT
ejpam-4551	200	1	solving	solve	VERB
ejpam-4551	200	2	frontier	frontier	NOUN
ejpam-4551	200	3	problems	problem	NOUN
ejpam-4551	200	4	of	of	ADP
ejpam-4551	200	5	physics	physics	NOUN
ejpam-4551	200	6	:	:	PUNCT
ejpam-4551	200	7	the	the	DET
ejpam-4551	200	8	decomposition	decomposition	NOUN
ejpam-4551	200	9	method	method	NOUN
ejpam-4551	200	10	.	.	PUNCT
ejpam-4551	201	1	springer	springer	NOUN
ejpam-4551	201	2	science	science	PROPN
ejpam-4551	201	3	&	&	CCONJ
ejpam-4551	201	4	business	business	NOUN
ejpam-4551	201	5	media	medium	NOUN
ejpam-4551	201	6	.	.	PUNCT
ejpam-4551	202	1	references	reference	NOUN
ejpam-4551	202	2	1759	1759	NUM
ejpam-4551	202	3	[	[	X
ejpam-4551	202	4	3	3	NUM
ejpam-4551	202	5	]	]	X
ejpam-4551	202	6	kamel	kamel	PROPN
ejpam-4551	202	7	attar	attar	PROPN
ejpam-4551	202	8	.	.	PUNCT
ejpam-4551	203	1	the	the	DET
ejpam-4551	203	2	ginzburg	ginzburg	NOUN
ejpam-4551	203	3	-	-	PUNCT
ejpam-4551	203	4	landau	landau	NOUN
ejpam-4551	203	5	model	model	NOUN
ejpam-4551	203	6	with	with	ADP
ejpam-4551	203	7	a	a	DET
ejpam-4551	203	8	variable	variable	ADJ
ejpam-4551	203	9	magnetic	magnetic	ADJ
ejpam-4551	203	10	field	field	NOUN
ejpam-4551	203	11	.	.	PUNCT
ejpam-4551	204	1	phd	phd	NOUN
ejpam-4551	204	2	thesis	thesis	NOUN
ejpam-4551	204	3	,	,	PUNCT
ejpam-4551	204	4	université	université	ADJ
ejpam-4551	204	5	paris	paris	PROPN
ejpam-4551	204	6	sud	sud	PROPN
ejpam-4551	204	7	-	-	PUNCT
ejpam-4551	204	8	paris	paris	PROPN
ejpam-4551	204	9	xi	xi	PROPN
ejpam-4551	204	10	;	;	PUNCT
ejpam-4551	204	11	université	université	ADJ
ejpam-4551	204	12	libanaise	libanaise	NOUN
ejpam-4551	204	13	.	.	PUNCT
ejpam-4551	205	1	faculté	faculté	X
ejpam-4551	205	2	des	des	PROPN
ejpam-4551	205	3	sciences	sciences	PROPN
ejpam-4551	205	4	.	.	PUNCT
ejpam-4551	205	5	.	.	PUNCT
ejpam-4551	205	6	.	.	PUNCT
ejpam-4551	205	7	.	.	PUNCT
ejpam-4551	206	1	[	[	X
ejpam-4551	206	2	4	4	NUM
ejpam-4551	206	3	]	]	X
ejpam-4551	206	4	kamel	kamel	PROPN
ejpam-4551	206	5	attar	attar	PROPN
ejpam-4551	206	6	.	.	PUNCT
ejpam-4551	207	1	the	the	DET
ejpam-4551	207	2	ground	ground	NOUN
ejpam-4551	207	3	state	state	NOUN
ejpam-4551	207	4	energy	energy	NOUN
ejpam-4551	207	5	of	of	ADP
ejpam-4551	207	6	the	the	DET
ejpam-4551	207	7	two	two	NUM
ejpam-4551	207	8	dimensional	dimensional	ADJ
ejpam-4551	207	9	ginzburg	ginzburg	NOUN
ejpam-4551	207	10	–	–	PUNCT
ejpam-4551	207	11	landau	landau	NOUN
ejpam-4551	207	12	functional	functional	ADJ
ejpam-4551	207	13	with	with	ADP
ejpam-4551	207	14	variable	variable	ADJ
ejpam-4551	207	15	magnetic	magnetic	ADJ
ejpam-4551	207	16	field	field	NOUN
ejpam-4551	207	17	.	.	PUNCT
ejpam-4551	208	1	in	in	ADP
ejpam-4551	208	2	annales	annales	PROPN
ejpam-4551	208	3	de	de	X
ejpam-4551	208	4	l’institut	l’institut	PROPN
ejpam-4551	208	5	henri	henri	PROPN
ejpam-4551	208	6	poincaré	poincaré	ADJ
ejpam-4551	208	7	c	c	X
ejpam-4551	208	8	,	,	PUNCT
ejpam-4551	208	9	analyse	analyse	VERB
ejpam-4551	208	10	non	non	ADJ
ejpam-4551	208	11	linéaire	linéaire	NOUN
ejpam-4551	208	12	,	,	PUNCT
ejpam-4551	208	13	volume	volume	NOUN
ejpam-4551	208	14	32	32	NUM
ejpam-4551	208	15	,	,	PUNCT
ejpam-4551	208	16	pages	page	NOUN
ejpam-4551	208	17	325–345	325–345	NUM
ejpam-4551	208	18	.	.	PUNCT
ejpam-4551	209	1	elsevier	elsevier	NOUN
ejpam-4551	209	2	,	,	PUNCT
ejpam-4551	209	3	2015	2015	NUM
ejpam-4551	209	4	.	.	PUNCT
ejpam-4551	210	1	[	[	X
ejpam-4551	210	2	5	5	NUM
ejpam-4551	210	3	]	]	X
ejpam-4551	210	4	charles	charles	PROPN
ejpam-4551	210	5	bu	bu	PROPN
ejpam-4551	210	6	.	.	PUNCT
ejpam-4551	211	1	an	an	DET
ejpam-4551	211	2	initial	initial	ADJ
ejpam-4551	211	3	-	-	PUNCT
ejpam-4551	211	4	boundary	boundary	NOUN
ejpam-4551	211	5	value	value	NOUN
ejpam-4551	211	6	problem	problem	NOUN
ejpam-4551	211	7	for	for	ADP
ejpam-4551	211	8	the	the	DET
ejpam-4551	211	9	ginzburg	ginzburg	NOUN
ejpam-4551	211	10	-	-	PUNCT
ejpam-4551	211	11	landau	landau	NOUN
ejpam-4551	211	12	equation	equation	NOUN
ejpam-4551	211	13	.	.	PUNCT
ejpam-4551	212	1	applied	apply	VERB
ejpam-4551	212	2	mathematics	mathematics	NOUN
ejpam-4551	212	3	letters	letter	NOUN
ejpam-4551	212	4	,	,	PUNCT
ejpam-4551	212	5	5(5):31–34	5(5):31–34	NUM
ejpam-4551	212	6	,	,	PUNCT
ejpam-4551	212	7	1992	1992	NUM
ejpam-4551	212	8	.	.	PUNCT
ejpam-4551	213	1	[	[	X
ejpam-4551	213	2	6	6	NUM
ejpam-4551	213	3	]	]	X
ejpam-4551	213	4	qiang	qiang	PROPN
ejpam-4551	213	5	du	du	PROPN
ejpam-4551	213	6	.	.	PROPN
ejpam-4551	213	7	global	global	ADJ
ejpam-4551	213	8	existence	existence	NOUN
ejpam-4551	213	9	and	and	CCONJ
ejpam-4551	213	10	uniqueness	uniqueness	NOUN
ejpam-4551	213	11	of	of	ADP
ejpam-4551	213	12	solutions	solution	NOUN
ejpam-4551	213	13	of	of	ADP
ejpam-4551	213	14	the	the	DET
ejpam-4551	213	15	time	time	NOUN
ejpam-4551	213	16	-	-	PUNCT
ejpam-4551	213	17	dependent	dependent	ADJ
ejpam-4551	213	18	ginzburg	ginzburg	NOUN
ejpam-4551	213	19	-	-	PUNCT
ejpam-4551	213	20	landau	landau	NOUN
ejpam-4551	213	21	model	model	NOUN
ejpam-4551	213	22	for	for	ADP
ejpam-4551	213	23	superconductivity	superconductivity	NOUN
ejpam-4551	213	24	.	.	PUNCT
ejpam-4551	214	1	applicable	applicable	ADJ
ejpam-4551	214	2	analysis	analysis	NOUN
ejpam-4551	214	3	,	,	PUNCT
ejpam-4551	214	4	53(1	53(1	PROPN
ejpam-4551	214	5	-	-	PUNCT
ejpam-4551	214	6	2):1–17	2):1–17	NUM
ejpam-4551	214	7	,	,	PUNCT
ejpam-4551	214	8	1994	1994	NUM
ejpam-4551	214	9	.	.	PUNCT
ejpam-4551	215	1	[	[	X
ejpam-4551	215	2	7	7	X
ejpam-4551	215	3	]	]	X
ejpam-4551	215	4	qiang	qiang	PROPN
ejpam-4551	215	5	du	du	PROPN
ejpam-4551	215	6	.	.	PROPN
ejpam-4551	215	7	numerical	numerical	ADJ
ejpam-4551	215	8	approximations	approximation	NOUN
ejpam-4551	215	9	of	of	ADP
ejpam-4551	215	10	the	the	DET
ejpam-4551	215	11	ginzburg	ginzburg	NOUN
ejpam-4551	215	12	–	–	PUNCT
ejpam-4551	215	13	landau	landau	NOUN
ejpam-4551	215	14	models	model	NOUN
ejpam-4551	215	15	for	for	ADP
ejpam-4551	215	16	superconductivity	superconductivity	NOUN
ejpam-4551	215	17	.	.	PUNCT
ejpam-4551	216	1	journal	journal	PROPN
ejpam-4551	216	2	of	of	ADP
ejpam-4551	216	3	mathematical	mathematical	ADJ
ejpam-4551	216	4	physics	physics	NOUN
ejpam-4551	216	5	,	,	PUNCT
ejpam-4551	216	6	46(9):095109	46(9):095109	NUM
ejpam-4551	216	7	,	,	PUNCT
ejpam-4551	216	8	2005	2005	NUM
ejpam-4551	216	9	.	.	PUNCT
ejpam-4551	217	1	[	[	X
ejpam-4551	217	2	8	8	NUM
ejpam-4551	217	3	]	]	X
ejpam-4551	217	4	francis	francis	PROPN
ejpam-4551	217	5	filbet	filbet	PROPN
ejpam-4551	217	6	and	and	CCONJ
ejpam-4551	217	7	lorenzo	lorenzo	PROPN
ejpam-4551	217	8	pareschi	pareschi	NOUN
ejpam-4551	217	9	.	.	PUNCT
ejpam-4551	218	1	a	a	DET
ejpam-4551	218	2	numerical	numerical	ADJ
ejpam-4551	218	3	method	method	NOUN
ejpam-4551	218	4	for	for	ADP
ejpam-4551	218	5	the	the	DET
ejpam-4551	218	6	accurate	accurate	ADJ
ejpam-4551	218	7	solution	solution	NOUN
ejpam-4551	218	8	of	of	ADP
ejpam-4551	218	9	the	the	DET
ejpam-4551	218	10	fokker	fokker	NOUN
ejpam-4551	218	11	–	–	PUNCT
ejpam-4551	218	12	planck	planck	NOUN
ejpam-4551	218	13	–	–	PUNCT
ejpam-4551	218	14	landau	landau	VERB
ejpam-4551	218	15	equation	equation	NOUN
ejpam-4551	218	16	in	in	ADP
ejpam-4551	218	17	the	the	DET
ejpam-4551	218	18	nonhomogeneous	nonhomogeneous	ADJ
ejpam-4551	218	19	case	case	NOUN
ejpam-4551	218	20	.	.	PUNCT
ejpam-4551	219	1	journal	journal	NOUN
ejpam-4551	219	2	of	of	ADP
ejpam-4551	219	3	computational	computational	ADJ
ejpam-4551	219	4	physics	physics	NOUN
ejpam-4551	219	5	,	,	PUNCT
ejpam-4551	219	6	179(1):1–26	179(1):1–26	PROPN
ejpam-4551	219	7	,	,	PUNCT
ejpam-4551	219	8	2002	2002	NUM
ejpam-4551	219	9	.	.	PUNCT
ejpam-4551	220	1	[	[	X
ejpam-4551	220	2	9	9	NUM
ejpam-4551	220	3	]	]	PUNCT
ejpam-4551	220	4	ayman	ayman	PROPN
ejpam-4551	220	5	kachmar	kachmar	PROPN
ejpam-4551	220	6	and	and	CCONJ
ejpam-4551	220	7	marwa	marwa	PROPN
ejpam-4551	220	8	nasrallah	nasrallah	PROPN
ejpam-4551	220	9	.	.	PUNCT
ejpam-4551	221	1	on	on	ADP
ejpam-4551	221	2	the	the	DET
ejpam-4551	221	3	ginzburg	ginzburg	NOUN
ejpam-4551	221	4	–	–	PUNCT
ejpam-4551	221	5	landau	landau	VERB
ejpam-4551	221	6	energy	energy	NOUN
ejpam-4551	221	7	with	with	ADP
ejpam-4551	221	8	a	a	DET
ejpam-4551	221	9	magnetic	magnetic	ADJ
ejpam-4551	221	10	field	field	NOUN
ejpam-4551	221	11	vanishing	vanish	VERB
ejpam-4551	221	12	along	along	ADP
ejpam-4551	221	13	a	a	DET
ejpam-4551	221	14	curve	curve	NOUN
ejpam-4551	221	15	.	.	PUNCT
ejpam-4551	222	1	[	[	X
ejpam-4551	222	2	10	10	NUM
ejpam-4551	222	3	]	]	X
ejpam-4551	222	4	mohammed	mohammed	PROPN
ejpam-4551	222	5	lemou	lemou	PROPN
ejpam-4551	222	6	and	and	CCONJ
ejpam-4551	222	7	luc	luc	PROPN
ejpam-4551	222	8	mieussens	mieussens	PROPN
ejpam-4551	222	9	.	.	PUNCT
ejpam-4551	223	1	fast	fast	ADJ
ejpam-4551	223	2	implicit	implicit	ADJ
ejpam-4551	223	3	schemes	scheme	NOUN
ejpam-4551	223	4	for	for	ADP
ejpam-4551	223	5	the	the	DET
ejpam-4551	223	6	fokker	fokker	NOUN
ejpam-4551	223	7	–	–	PUNCT
ejpam-4551	223	8	planck	planck	NOUN
ejpam-4551	223	9	–	–	PUNCT
ejpam-4551	223	10	landau	landau	VERB
ejpam-4551	223	11	equation	equation	NOUN
ejpam-4551	223	12	.	.	PUNCT
ejpam-4551	224	1	comptes	compte	VERB
ejpam-4551	224	2	rendus	rendus	PROPN
ejpam-4551	224	3	mathematique	mathematique	PROPN
ejpam-4551	224	4	,	,	PUNCT
ejpam-4551	224	5	338(10):809–814	338(10):809–814	NUM
ejpam-4551	224	6	,	,	PUNCT
ejpam-4551	224	7	2004	2004	NUM
ejpam-4551	224	8	.	.	PUNCT
ejpam-4551	225	1	[	[	X
ejpam-4551	225	2	11	11	NUM
ejpam-4551	225	3	]	]	X
ejpam-4551	225	4	soheila	soheila	PROPN
ejpam-4551	225	5	naghshband	naghshband	PROPN
ejpam-4551	225	6	and	and	CCONJ
ejpam-4551	225	7	mohammad	mohammad	PROPN
ejpam-4551	225	8	ali	ali	PROPN
ejpam-4551	225	9	fariborzi	fariborzi	PROPN
ejpam-4551	225	10	araghi	araghi	PROPN
ejpam-4551	225	11	.	.	PUNCT
ejpam-4551	226	1	solving	solve	VERB
ejpam-4551	226	2	generalized	generalize	VERB
ejpam-4551	226	3	quintic	quintic	ADJ
ejpam-4551	226	4	complex	complex	ADJ
ejpam-4551	226	5	ginzburg	ginzburg	NOUN
ejpam-4551	226	6	–	–	PUNCT
ejpam-4551	226	7	landau	landau	VERB
ejpam-4551	226	8	equation	equation	NOUN
ejpam-4551	226	9	by	by	ADP
ejpam-4551	226	10	homotopy	homotopy	NOUN
ejpam-4551	226	11	analysis	analysis	NOUN
ejpam-4551	226	12	method	method	NOUN
ejpam-4551	226	13	.	.	PUNCT
ejpam-4551	227	1	ain	ain	PROPN
ejpam-4551	227	2	shams	sham	VERB
ejpam-4551	227	3	engineering	engineering	NOUN
ejpam-4551	227	4	journal	journal	NOUN
ejpam-4551	227	5	,	,	PUNCT
ejpam-4551	227	6	9(4):607–613	9(4):607–613	NOUN
ejpam-4551	227	7	,	,	PUNCT
ejpam-4551	227	8	2018	2018	NUM
ejpam-4551	227	9	.	.	PUNCT
ejpam-4551	228	1	[	[	X
ejpam-4551	228	2	12	12	NUM
ejpam-4551	228	3	]	]	PUNCT
ejpam-4551	228	4	eduardo	eduardo	PROPN
ejpam-4551	228	5	salete	salete	PROPN
ejpam-4551	228	6	,	,	PUNCT
ejpam-4551	228	7	antonio	antonio	PROPN
ejpam-4551	228	8	m	m	PROPN
ejpam-4551	228	9	vargas	vargas	NOUN
ejpam-4551	228	10	,	,	PUNCT
ejpam-4551	228	11	ángel	ángel	PROPN
ejpam-4551	228	12	garćıa	garćıa	NOUN
ejpam-4551	228	13	,	,	PUNCT
ejpam-4551	228	14	mihaela	mihaela	PROPN
ejpam-4551	228	15	negreanu	negreanu	PROPN
ejpam-4551	228	16	,	,	PUNCT
ejpam-4551	228	17	juan	juan	PROPN
ejpam-4551	228	18	j	j	PROPN
ejpam-4551	228	19	benito	benito	PROPN
ejpam-4551	228	20	,	,	PUNCT
ejpam-4551	228	21	and	and	CCONJ
ejpam-4551	228	22	francisco	francisco	PROPN
ejpam-4551	228	23	ureña	ureña	PROPN
ejpam-4551	228	24	.	.	PUNCT
ejpam-4551	229	1	complex	complex	ADJ
ejpam-4551	229	2	ginzburg	ginzburg	NOUN
ejpam-4551	229	3	–	–	PUNCT
ejpam-4551	229	4	landau	landau	VERB
ejpam-4551	229	5	equation	equation	NOUN
ejpam-4551	229	6	with	with	ADP
ejpam-4551	229	7	generalized	generalized	ADJ
ejpam-4551	229	8	finite	finite	ADJ
ejpam-4551	229	9	differences	difference	NOUN
ejpam-4551	229	10	.	.	PUNCT
ejpam-4551	230	1	mathematics	mathematic	NOUN
ejpam-4551	230	2	.	.	PUNCT
ejpam-4551	231	1	[	[	X
ejpam-4551	231	2	13	13	NUM
ejpam-4551	231	3	]	]	PUNCT
ejpam-4551	231	4	etienne	etienne	PROPN
ejpam-4551	231	5	sandier	sandy	ADJ
ejpam-4551	231	6	and	and	CCONJ
ejpam-4551	231	7	sylvia	sylvia	PROPN
ejpam-4551	231	8	serfaty	serfaty	PROPN
ejpam-4551	231	9	.	.	PUNCT
ejpam-4551	232	1	the	the	DET
ejpam-4551	232	2	decrease	decrease	NOUN
ejpam-4551	232	3	of	of	ADP
ejpam-4551	232	4	bulk	bulk	ADJ
ejpam-4551	232	5	-	-	PUNCT
ejpam-4551	232	6	superconductivity	superconductivity	NOUN
ejpam-4551	232	7	close	close	NOUN
ejpam-4551	232	8	to	to	ADP
ejpam-4551	232	9	the	the	DET
ejpam-4551	232	10	second	second	ADJ
ejpam-4551	232	11	critical	critical	ADJ
ejpam-4551	232	12	field	field	NOUN
ejpam-4551	232	13	in	in	ADP
ejpam-4551	232	14	the	the	DET
ejpam-4551	232	15	ginzburg	ginzburg	NOUN
ejpam-4551	232	16	–	–	PUNCT
ejpam-4551	232	17	landau	landau	NOUN
ejpam-4551	232	18	model	model	NOUN
ejpam-4551	232	19	.	.	PUNCT
ejpam-4551	233	1	siam	siam	PROPN
ejpam-4551	233	2	journal	journal	PROPN
ejpam-4551	233	3	on	on	ADP
ejpam-4551	233	4	mathematical	mathematical	ADJ
ejpam-4551	233	5	analysis	analysis	NOUN
ejpam-4551	233	6	.	.	PUNCT
ejpam-4551	234	1	[	[	X
ejpam-4551	234	2	14	14	NUM
ejpam-4551	234	3	]	]	X
ejpam-4551	234	4	etienne	etienne	PROPN
ejpam-4551	234	5	sandier	sandy	ADJ
ejpam-4551	234	6	and	and	CCONJ
ejpam-4551	234	7	sylvia	sylvia	PROPN
ejpam-4551	234	8	serfaty	serfaty	PROPN
ejpam-4551	234	9	.	.	PUNCT
ejpam-4551	235	1	vortices	vortex	NOUN
ejpam-4551	235	2	in	in	ADP
ejpam-4551	235	3	the	the	DET
ejpam-4551	235	4	magnetic	magnetic	ADJ
ejpam-4551	235	5	ginzburg	ginzburg	NOUN
ejpam-4551	235	6	-	-	PUNCT
ejpam-4551	235	7	landau	landau	NOUN
ejpam-4551	235	8	model	model	NOUN
ejpam-4551	235	9	.	.	PUNCT
ejpam-4551	236	1	springer	springer	PROPN
ejpam-4551	236	2	science	science	PROPN
ejpam-4551	236	3	&	&	CCONJ
ejpam-4551	236	4	business	business	NOUN
ejpam-4551	236	5	media	medium	NOUN
ejpam-4551	236	6	.	.	PUNCT
ejpam-4551	237	1	[	[	X
ejpam-4551	237	2	15	15	NUM
ejpam-4551	237	3	]	]	X
ejpam-4551	237	4	shao	shao	PROPN
ejpam-4551	237	5	-	-	PUNCT
ejpam-4551	237	6	wen	wen	PROPN
ejpam-4551	237	7	yao	yao	PROPN
ejpam-4551	237	8	,	,	PUNCT
ejpam-4551	237	9	esin	esin	PROPN
ejpam-4551	237	10	ilhan	ilhan	PROPN
ejpam-4551	237	11	,	,	PUNCT
ejpam-4551	237	12	p	p	NOUN
ejpam-4551	237	13	veeresha	veeresha	PROPN
ejpam-4551	237	14	,	,	PUNCT
ejpam-4551	237	15	and	and	CCONJ
ejpam-4551	237	16	haci	haci	PROPN
ejpam-4551	237	17	mehmet	mehmet	PROPN
ejpam-4551	237	18	baskonus	baskonus	PROPN
ejpam-4551	237	19	.	.	PUNCT
ejpam-4551	238	1	a	a	DET
ejpam-4551	238	2	powerful	powerful	ADJ
ejpam-4551	238	3	iterative	iterative	NOUN
ejpam-4551	238	4	approach	approach	NOUN
ejpam-4551	238	5	for	for	ADP
ejpam-4551	238	6	quintic	quintic	ADJ
ejpam-4551	238	7	complex	complex	ADJ
ejpam-4551	238	8	ginzburg	ginzburg	NOUN
ejpam-4551	238	9	–	–	PUNCT
ejpam-4551	238	10	landau	landau	VERB
ejpam-4551	238	11	equation	equation	NOUN
ejpam-4551	238	12	within	within	ADP
ejpam-4551	238	13	the	the	DET
ejpam-4551	238	14	frame	frame	NOUN
ejpam-4551	238	15	of	of	ADP
ejpam-4551	238	16	fractional	fractional	ADJ
ejpam-4551	238	17	operator	operator	NOUN
ejpam-4551	238	18	.	.	PUNCT
ejpam-4551	239	1	fractals	fractal	NOUN
ejpam-4551	239	2	.	.	PUNCT