id	sid	tid	token	lemma	pos
ejpam-2335	1	1	compile	compile	NOUN
ejpam-2335	1	2	/	/	SYM
ejpam-2335	1	3	output.dvi	output.dvi	NOUN
ejpam-2335	1	4	european	european	ADJ
ejpam-2335	1	5	journal	journal	NOUN
ejpam-2335	1	6	of	of	ADP
ejpam-2335	1	7	pure	pure	ADJ
ejpam-2335	1	8	and	and	CCONJ
ejpam-2335	1	9	applied	apply	VERB
ejpam-2335	1	10	mathematics	mathematic	NOUN
ejpam-2335	1	11	vol	vol	NOUN
ejpam-2335	1	12	.	.	PROPN
ejpam-2335	1	13	8	8	NUM
ejpam-2335	1	14	,	,	PUNCT
ejpam-2335	1	15	no	no	INTJ
ejpam-2335	1	16	.	.	NOUN
ejpam-2335	1	17	2	2	NUM
ejpam-2335	1	18	,	,	PUNCT
ejpam-2335	1	19	2015	2015	NUM
ejpam-2335	1	20	,	,	PUNCT
ejpam-2335	1	21	239	239	NUM
ejpam-2335	1	22	-	-	SYM
ejpam-2335	1	23	254	254	NUM
ejpam-2335	1	24	issn	issn	PROPN
ejpam-2335	1	25	1307	1307	NUM
ejpam-2335	1	26	-	-	SYM
ejpam-2335	1	27	5543	5543	NUM
ejpam-2335	1	28	–	–	PUNCT
ejpam-2335	1	29	www.ejpam.com	www.ejpam.com	X
ejpam-2335	1	30	gaussian	gaussian	ADJ
ejpam-2335	1	31	radial	radial	ADJ
ejpam-2335	1	32	basis	basis	NOUN
ejpam-2335	1	33	functions	function	NOUN
ejpam-2335	1	34	for	for	ADP
ejpam-2335	1	35	the	the	DET
ejpam-2335	1	36	solution	solution	NOUN
ejpam-2335	1	37	of	of	ADP
ejpam-2335	1	38	an	an	DET
ejpam-2335	1	39	inverse	inverse	NOUN
ejpam-2335	1	40	problem	problem	NOUN
ejpam-2335	1	41	of	of	ADP
ejpam-2335	1	42	mixed	mixed	ADJ
ejpam-2335	1	43	parabolic	parabolic	ADJ
ejpam-2335	1	44	-	-	PUNCT
ejpam-2335	1	45	hyperbolic	hyperbolic	ADJ
ejpam-2335	1	46	type	type	NOUN
ejpam-2335	1	47	farzaneh	farzaneh	NOUN
ejpam-2335	1	48	parzlivand	parzlivand	NOUN
ejpam-2335	1	49	,	,	PUNCT
ejpam-2335	1	50	alimardan	alimardan	PROPN
ejpam-2335	1	51	shahrezaee	shahrezaee	PROPN
ejpam-2335	1	52	∗	∗	PROPN
ejpam-2335	1	53	department	department	PROPN
ejpam-2335	1	54	of	of	ADP
ejpam-2335	1	55	mathematics	mathematics	PROPN
ejpam-2335	1	56	,	,	PUNCT
ejpam-2335	1	57	alzahra	alzahra	PROPN
ejpam-2335	1	58	university	university	PROPN
ejpam-2335	1	59	,	,	PUNCT
ejpam-2335	1	60	vanak	vanak	PROPN
ejpam-2335	1	61	,	,	PUNCT
ejpam-2335	1	62	tehran	tehran	PROPN
ejpam-2335	1	63	,	,	PUNCT
ejpam-2335	1	64	iran	iran	PROPN
ejpam-2335	1	65	abstract	abstract	ADJ
ejpam-2335	1	66	.	.	PUNCT
ejpam-2335	2	1	in	in	ADP
ejpam-2335	2	2	this	this	DET
ejpam-2335	2	3	paper	paper	NOUN
ejpam-2335	2	4	,	,	PUNCT
ejpam-2335	2	5	we	we	PRON
ejpam-2335	2	6	consider	consider	VERB
ejpam-2335	2	7	an	an	DET
ejpam-2335	2	8	inverse	inverse	NOUN
ejpam-2335	2	9	problem	problem	NOUN
ejpam-2335	2	10	of	of	ADP
ejpam-2335	2	11	mixed	mixed	ADJ
ejpam-2335	2	12	parabolic	parabolic	ADJ
ejpam-2335	2	13	-	-	PUNCT
ejpam-2335	2	14	hyperbolic	hyperbolic	ADJ
ejpam-2335	2	15	type	type	NOUN
ejpam-2335	2	16	.	.	PUNCT
ejpam-2335	3	1	this	this	DET
ejpam-2335	3	2	inverse	inverse	ADJ
ejpam-2335	3	3	problem	problem	NOUN
ejpam-2335	3	4	related	relate	VERB
ejpam-2335	3	5	to	to	ADP
ejpam-2335	3	6	finding	find	VERB
ejpam-2335	3	7	the	the	DET
ejpam-2335	3	8	unknown	unknown	ADJ
ejpam-2335	3	9	right	right	ADJ
ejpam-2335	3	10	-	-	PUNCT
ejpam-2335	3	11	hand	hand	NOUN
ejpam-2335	3	12	side	side	NOUN
ejpam-2335	3	13	of	of	ADP
ejpam-2335	3	14	the	the	DET
ejpam-2335	3	15	equation	equation	NOUN
ejpam-2335	3	16	of	of	ADP
ejpam-2335	3	17	mixed	mixed	ADJ
ejpam-2335	3	18	parabolichyperbolic	parabolichyperbolic	ADJ
ejpam-2335	3	19	type	type	NOUN
ejpam-2335	3	20	in	in	ADP
ejpam-2335	3	21	a	a	DET
ejpam-2335	3	22	ectangular	ectangular	ADJ
ejpam-2335	3	23	domain	domain	NOUN
ejpam-2335	3	24	.	.	PUNCT
ejpam-2335	4	1	we	we	PRON
ejpam-2335	4	2	proposed	propose	VERB
ejpam-2335	4	3	a	a	DET
ejpam-2335	4	4	n	n	CCONJ
ejpam-2335	4	5	umerical	umerical	ADJ
ejpam-2335	4	6	approach	approach	NOUN
ejpam-2335	4	7	to	to	PART
ejpam-2335	4	8	solve	solve	VERB
ejpam-2335	4	9	this	this	DET
ejpam-2335	4	10	problem	problem	NOUN
ejpam-2335	4	11	.	.	PUNCT
ejpam-2335	5	1	this	this	DET
ejpam-2335	5	2	method	method	NOUN
ejpam-2335	5	3	is	be	AUX
ejpam-2335	5	4	a	a	DET
ejpam-2335	5	5	combination	combination	NOUN
ejpam-2335	5	6	of	of	ADP
ejpam-2335	5	7	collocation	collocation	NOUN
ejpam-2335	5	8	method	method	NOUN
ejpam-2335	5	9	and	and	CCONJ
ejpam-2335	5	10	gaussian	gaussian	ADJ
ejpam-2335	5	11	radial	radial	ADJ
ejpam-2335	5	12	basis	basis	NOUN
ejpam-2335	5	13	functions	function	NOUN
ejpam-2335	5	14	(	(	PUNCT
ejpam-2335	5	15	ga	ga	NOUN
ejpam-2335	5	16	-	-	NOUN
ejpam-2335	5	17	rbfs	rbfs	NOUN
ejpam-2335	5	18	)	)	PUNCT
ejpam-2335	5	19	.	.	PUNCT
ejpam-2335	6	1	the	the	DET
ejpam-2335	6	2	operational	operational	ADJ
ejpam-2335	6	3	matrix	matrix	NOUN
ejpam-2335	6	4	of	of	ADP
ejpam-2335	6	5	derivative	derivative	NOUN
ejpam-2335	6	6	for	for	ADP
ejpam-2335	6	7	ga	ga	NOUN
ejpam-2335	6	8	-	-	PUNCT
ejpam-2335	6	9	rbfs	rbfs	NOUN
ejpam-2335	6	10	is	be	AUX
ejpam-2335	6	11	introduced	introduce	VERB
ejpam-2335	6	12	.	.	PUNCT
ejpam-2335	7	1	the	the	DET
ejpam-2335	7	2	operational	operational	ADJ
ejpam-2335	7	3	matrix	matrix	NOUN
ejpam-2335	7	4	of	of	ADP
ejpam-2335	7	5	derivative	derivative	NOUN
ejpam-2335	7	6	is	be	AUX
ejpam-2335	7	7	utilized	utilize	VERB
ejpam-2335	7	8	to	to	PART
ejpam-2335	7	9	reduce	reduce	VERB
ejpam-2335	7	10	the	the	DET
ejpam-2335	7	11	problem	problem	NOUN
ejpam-2335	7	12	to	to	ADP
ejpam-2335	7	13	a	a	DET
ejpam-2335	7	14	set	set	NOUN
ejpam-2335	7	15	of	of	ADP
ejpam-2335	7	16	algebraic	algebraic	ADJ
ejpam-2335	7	17	equations	equation	NOUN
ejpam-2335	7	18	.	.	PUNCT
ejpam-2335	8	1	using	use	VERB
ejpam-2335	8	2	this	this	DET
ejpam-2335	8	3	method	method	NOUN
ejpam-2335	8	4	,	,	PUNCT
ejpam-2335	8	5	a	a	DET
ejpam-2335	8	6	rapid	rapid	ADJ
ejpam-2335	8	7	convergent	convergent	NOUN
ejpam-2335	8	8	solution	solution	NOUN
ejpam-2335	8	9	is	be	AUX
ejpam-2335	8	10	produced	produce	VERB
ejpam-2335	8	11	which	which	PRON
ejpam-2335	8	12	tends	tend	VERB
ejpam-2335	8	13	to	to	ADP
ejpam-2335	8	14	the	the	DET
ejpam-2335	8	15	exact	exact	ADJ
ejpam-2335	8	16	solution	solution	NOUN
ejpam-2335	8	17	of	of	ADP
ejpam-2335	8	18	the	the	DET
ejpam-2335	8	19	problem	problem	NOUN
ejpam-2335	8	20	.	.	PUNCT
ejpam-2335	9	1	the	the	DET
ejpam-2335	9	2	accuracy	accuracy	NOUN
ejpam-2335	9	3	of	of	ADP
ejpam-2335	9	4	the	the	DET
ejpam-2335	9	5	method	method	NOUN
ejpam-2335	9	6	is	be	AUX
ejpam-2335	9	7	tested	test	VERB
ejpam-2335	9	8	in	in	ADP
ejpam-2335	9	9	term	term	NOUN
ejpam-2335	9	10	of	of	ADP
ejpam-2335	9	11	rms	rm	NOUN
ejpam-2335	9	12	error	error	NOUN
ejpam-2335	9	13	.	.	PUNCT
ejpam-2335	10	1	some	some	DET
ejpam-2335	10	2	examples	example	NOUN
ejpam-2335	10	3	is	be	AUX
ejpam-2335	10	4	included	include	VERB
ejpam-2335	10	5	to	to	PART
ejpam-2335	10	6	demonstrate	demonstrate	VERB
ejpam-2335	10	7	the	the	DET
ejpam-2335	10	8	validity	validity	NOUN
ejpam-2335	10	9	and	and	CCONJ
ejpam-2335	10	10	applicability	applicability	NOUN
ejpam-2335	10	11	of	of	ADP
ejpam-2335	10	12	the	the	DET
ejpam-2335	10	13	technique	technique	NOUN
ejpam-2335	10	14	.	.	PUNCT
ejpam-2335	11	1	2010	2010	NUM
ejpam-2335	11	2	mathematics	mathematic	NOUN
ejpam-2335	11	3	subject	subject	NOUN
ejpam-2335	11	4	classifications	classification	NOUN
ejpam-2335	11	5	:	:	PUNCT
ejpam-2335	11	6	35m10	35m10	NUM
ejpam-2335	11	7	,	,	PUNCT
ejpam-2335	11	8	65n21	65n21	NUM
ejpam-2335	11	9	,	,	PUNCT
ejpam-2335	11	10	65n35	65n35	DET
ejpam-2335	11	11	key	key	ADJ
ejpam-2335	11	12	words	word	NOUN
ejpam-2335	11	13	and	and	CCONJ
ejpam-2335	11	14	phrases	phrase	NOUN
ejpam-2335	11	15	:	:	PUNCT
ejpam-2335	11	16	mixed	mixed	ADJ
ejpam-2335	11	17	parabolic	parabolic	ADJ
ejpam-2335	11	18	-	-	PUNCT
ejpam-2335	11	19	hyperbolic	hyperbolic	ADJ
ejpam-2335	11	20	problem	problem	NOUN
ejpam-2335	11	21	;	;	PUNCT
ejpam-2335	11	22	inverse	inverse	NOUN
ejpam-2335	11	23	problem	problem	NOUN
ejpam-2335	11	24	;	;	PUNCT
ejpam-2335	11	25	rbfs	rbfs	NOUN
ejpam-2335	11	26	;	;	PUNCT
ejpam-2335	11	27	collocation	collocation	NOUN
ejpam-2335	11	28	method	method	NOUN
ejpam-2335	11	29	1	1	NUM
ejpam-2335	11	30	.	.	PUNCT
ejpam-2335	12	1	introduction	introduction	NOUN
ejpam-2335	12	2	let	let	VERB
ejpam-2335	12	3	us	we	PRON
ejpam-2335	12	4	consider	consider	VERB
ejpam-2335	12	5	the	the	DET
ejpam-2335	12	6	equation	equation	NOUN
ejpam-2335	12	7	lu=	lu=	ADJ
ejpam-2335	12	8	¨	¨	NOUN
ejpam-2335	12	9	ut	ut	PROPN
ejpam-2335	12	10	−	−	PROPN
ejpam-2335	12	11	ux	ux	PROPN
ejpam-2335	12	12	x	x	PUNCT
ejpam-2335	13	1	+	+	CCONJ
ejpam-2335	13	2	b2u=	b2u=	PROPN
ejpam-2335	13	3	f1(x	f1(x	NUM
ejpam-2335	13	4	)	)	PUNCT
ejpam-2335	13	5	;	;	PUNCT
ejpam-2335	13	6	>	>	X
ejpam-2335	13	7	0	0	NUM
ejpam-2335	13	8	,	,	PUNCT
ejpam-2335	13	9	ut	ut	PROPN
ejpam-2335	13	10	t	t	PROPN
ejpam-2335	13	11	−	−	PROPN
ejpam-2335	13	12	ux	ux	PROPN
ejpam-2335	13	13	x	x	PUNCT
ejpam-2335	14	1	+	+	CCONJ
ejpam-2335	14	2	b2u=	b2u=	PROPN
ejpam-2335	14	3	f2(x	f2(x	PROPN
ejpam-2335	14	4	)	)	PUNCT
ejpam-2335	15	1	;	;	PUNCT
ejpam-2335	15	2	<	<	X
ejpam-2335	15	3	0	0	NUM
ejpam-2335	15	4	,	,	PUNCT
ejpam-2335	15	5	(	(	PUNCT
ejpam-2335	15	6	1	1	X
ejpam-2335	15	7	)	)	PUNCT
ejpam-2335	15	8	of	of	ADP
ejpam-2335	15	9	mixed	mixed	ADJ
ejpam-2335	15	10	parabolic	parabolic	ADJ
ejpam-2335	15	11	-	-	PUNCT
ejpam-2335	15	12	hyperbolic	hyperbolic	ADJ
ejpam-2335	15	13	type	type	NOUN
ejpam-2335	15	14	with	with	ADP
ejpam-2335	15	15	the	the	DET
ejpam-2335	15	16	unknown	unknown	ADJ
ejpam-2335	15	17	right	right	ADJ
ejpam-2335	15	18	-	-	PUNCT
ejpam-2335	15	19	hand	hand	NOUN
ejpam-2335	15	20	side	side	NOUN
ejpam-2335	15	21	in	in	ADP
ejpam-2335	15	22	the	the	DET
ejpam-2335	15	23	rectangular	rectangular	ADJ
ejpam-2335	15	24	domain	domain	NOUN
ejpam-2335	15	25	d	d	NOUN
ejpam-2335	15	26	=	=	SYM
ejpam-2335	15	27	{	{	PUNCT
ejpam-2335	15	28	(	(	PUNCT
ejpam-2335	15	29	x	x	INTJ
ejpam-2335	15	30	,	,	PUNCT
ejpam-2335	15	31	t)|0	t)|0	VERB
ejpam-2335	15	32	<	<	X
ejpam-2335	15	33	x	x	X
ejpam-2335	15	34	<	<	X
ejpam-2335	15	35	1	1	NUM
ejpam-2335	15	36	,	,	PUNCT
ejpam-2335	15	37	−α	−α	PROPN
ejpam-2335	15	38	<	<	X
ejpam-2335	15	39	t	t	X
ejpam-2335	15	40	<	<	X
ejpam-2335	15	41	β	β	X
ejpam-2335	15	42	}	}	PUNCT
ejpam-2335	15	43	,	,	PUNCT
ejpam-2335	15	44	where	where	SCONJ
ejpam-2335	15	45	b	b	X
ejpam-2335	15	46	≥	≥	X
ejpam-2335	15	47	0	0	NUM
ejpam-2335	15	48	,	,	PUNCT
ejpam-2335	15	49	α	α	NOUN
ejpam-2335	15	50	>	>	X
ejpam-2335	15	51	0	0	PUNCT
ejpam-2335	15	52	and	and	CCONJ
ejpam-2335	15	53	β	β	X
ejpam-2335	15	54	>	>	X
ejpam-2335	15	55	0	0	NUM
ejpam-2335	15	56	are	be	AUX
ejpam-2335	15	57	given	give	VERB
ejpam-2335	15	58	real	real	ADJ
ejpam-2335	15	59	numbers	number	NOUN
ejpam-2335	15	60	and	and	CCONJ
ejpam-2335	15	61	let	let	VERB
ejpam-2335	15	62	us	we	PRON
ejpam-2335	15	63	pose	pose	VERB
ejpam-2335	15	64	the	the	DET
ejpam-2335	15	65	following	following	ADJ
ejpam-2335	15	66	inverse	inverse	NOUN
ejpam-2335	15	67	problem	problem	NOUN
ejpam-2335	15	68	.	.	PUNCT
ejpam-2335	16	1	inverse	inverse	ADJ
ejpam-2335	16	2	problem	problem	NOUN
ejpam-2335	16	3	.	.	PUNCT
ejpam-2335	17	1	for	for	ADP
ejpam-2335	17	2	any	any	DET
ejpam-2335	17	3	nonnegative	nonnegative	ADJ
ejpam-2335	17	4	integer	integer	NOUN
ejpam-2335	17	5	m	m	AUX
ejpam-2335	17	6	let	let	VERB
ejpam-2335	17	7	cm(d	cm(d	PUNCT
ejpam-2335	17	8	)	)	PUNCT
ejpam-2335	17	9	denote	denote	VERB
ejpam-2335	17	10	the	the	DET
ejpam-2335	17	11	vector	vector	NOUN
ejpam-2335	17	12	space	space	NOUN
ejpam-2335	17	13	consisting	consist	VERB
ejpam-2335	17	14	of	of	ADP
ejpam-2335	17	15	all	all	DET
ejpam-2335	17	16	functions	function	NOUN
ejpam-2335	17	17	µ	µ	X
ejpam-2335	17	18	which	which	PRON
ejpam-2335	17	19	,	,	PUNCT
ejpam-2335	17	20	together	together	ADV
ejpam-2335	17	21	with	with	ADP
ejpam-2335	17	22	all	all	PRON
ejpam-2335	17	23	their	their	PRON
ejpam-2335	17	24	partial	partial	ADJ
ejpam-2335	17	25	derivatives	derivative	NOUN
ejpam-2335	17	26	dαµ	dαµ	VERB
ejpam-2335	17	27	of	of	ADP
ejpam-2335	17	28	orders	order	NOUN
ejpam-2335	17	29	|α|	|α|	PROPN
ejpam-2335	17	30	≤	≤	NUM
ejpam-2335	17	31	m	m	NOUN
ejpam-2335	17	32	,	,	PUNCT
ejpam-2335	17	33	are	be	AUX
ejpam-2335	17	34	∗corresponding	∗corresponde	VERB
ejpam-2335	17	35	author	author	NOUN
ejpam-2335	17	36	.	.	PUNCT
ejpam-2335	18	1	email	email	NOUN
ejpam-2335	18	2	addresses	address	NOUN
ejpam-2335	18	3	:	:	PUNCT
ejpam-2335	18	4	fparzlivand@gmail.com	fparzlivand@gmail.com	X
ejpam-2335	18	5	(	(	PUNCT
ejpam-2335	18	6	f.	f.	PROPN
ejpam-2335	18	7	parzlivand	parzlivand	PROPN
ejpam-2335	18	8	)	)	PUNCT
ejpam-2335	18	9	,	,	PUNCT
ejpam-2335	18	10	ashahrezaee@alzahra.ac.ir	ashahrezaee@alzahra.ac.ir	PROPN
ejpam-2335	18	11	(	(	PUNCT
ejpam-2335	18	12	a.	a.	NOUN
ejpam-2335	18	13	shahrezaee	shahrezaee	PROPN
ejpam-2335	18	14	)	)	PUNCT
ejpam-2335	18	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2335	19	1	239	239	NUM
ejpam-2335	19	2	c	c	NOUN
ejpam-2335	19	3	©	©	PROPN
ejpam-2335	19	4	2015	2015	NUM
ejpam-2335	19	5	ejpam	ejpam	NOUN
ejpam-2335	19	6	all	all	DET
ejpam-2335	19	7	rights	right	NOUN
ejpam-2335	19	8	reserved	reserve	VERB
ejpam-2335	19	9	.	.	PUNCT
ejpam-2335	20	1	f.	f.	PROPN
ejpam-2335	20	2	parzlivand	parzlivand	PROPN
ejpam-2335	20	3	,	,	PUNCT
ejpam-2335	20	4	a.	a.	NOUN
ejpam-2335	20	5	shahrezaee	shahrezaee	PROPN
ejpam-2335	20	6	/	/	SYM
ejpam-2335	20	7	eur	eur	PROPN
ejpam-2335	20	8	.	.	PUNCT
ejpam-2335	21	1	j.	j.	PROPN
ejpam-2335	21	2	pure	pure	PROPN
ejpam-2335	21	3	appl	appl	PROPN
ejpam-2335	21	4	.	.	PROPN
ejpam-2335	21	5	math	math	PROPN
ejpam-2335	21	6	,	,	PUNCT
ejpam-2335	21	7	8	8	NUM
ejpam-2335	21	8	(	(	PUNCT
ejpam-2335	21	9	2015	2015	NUM
ejpam-2335	21	10	)	)	PUNCT
ejpam-2335	21	11	,	,	PUNCT
ejpam-2335	21	12	239	239	NUM
ejpam-2335	21	13	-	-	SYM
ejpam-2335	21	14	254	254	NUM
ejpam-2335	21	15	240	240	NUM
ejpam-2335	21	16	continuous	continuous	ADJ
ejpam-2335	21	17	on	on	ADP
ejpam-2335	21	18	d.	d.	PROPN
ejpam-2335	21	19	in	in	ADP
ejpam-2335	21	20	the	the	DET
ejpam-2335	21	21	domain	domain	NOUN
ejpam-2335	21	22	d	d	NOUN
ejpam-2335	21	23	,	,	PUNCT
ejpam-2335	21	24	it	it	PRON
ejpam-2335	21	25	is	be	AUX
ejpam-2335	21	26	required	require	VERB
ejpam-2335	21	27	to	to	PART
ejpam-2335	21	28	find	find	VERB
ejpam-2335	21	29	the	the	DET
ejpam-2335	21	30	functions	function	NOUN
ejpam-2335	21	31	u(x	u(x	PROPN
ejpam-2335	21	32	,	,	PUNCT
ejpam-2335	21	33	t	t	PROPN
ejpam-2335	21	34	)	)	PUNCT
ejpam-2335	21	35	,	,	PUNCT
ejpam-2335	21	36	f1(x	f1(x	PROPN
ejpam-2335	21	37	)	)	PUNCT
ejpam-2335	21	38	and	and	CCONJ
ejpam-2335	21	39	f2(x	f2(x	NUM
ejpam-2335	21	40	)	)	PUNCT
ejpam-2335	21	41	satisfying	satisfy	VERB
ejpam-2335	21	42	the	the	DET
ejpam-2335	21	43	following	follow	VERB
ejpam-2335	21	44	conditions	condition	NOUN
ejpam-2335	21	45	:	:	PUNCT
ejpam-2335	21	46	u(x	u(x	PROPN
ejpam-2335	21	47	,	,	PUNCT
ejpam-2335	21	48	t	t	X
ejpam-2335	21	49	)	)	PUNCT
ejpam-2335	21	50	∈	∈	PROPN
ejpam-2335	21	51	c1(d̄	c1(d̄	PROPN
ejpam-2335	21	52	)	)	PUNCT
ejpam-2335	21	53	,	,	PUNCT
ejpam-2335	21	54	ut(x	ut(x	NUM
ejpam-2335	21	55	,	,	PUNCT
ejpam-2335	21	56	t	t	X
ejpam-2335	21	57	)	)	PUNCT
ejpam-2335	21	58	∈	∈	PROPN
ejpam-2335	22	1	c2(d−)∩	c2(d−)∩	NOUN
ejpam-2335	22	2	c	c	PROPN
ejpam-2335	22	3	2,1	2,1	NUM
ejpam-2335	22	4	x	x	SYM
ejpam-2335	22	5	,	,	PUNCT
ejpam-2335	22	6	t	t	PROPN
ejpam-2335	22	7	(	(	PUNCT
ejpam-2335	22	8	d+	d+	X
ejpam-2335	22	9	)	)	PUNCT
ejpam-2335	22	10	,	,	PUNCT
ejpam-2335	22	11	(	(	PUNCT
ejpam-2335	22	12	2	2	X
ejpam-2335	22	13	)	)	PUNCT
ejpam-2335	22	14	f1(x	f1(x	NUM
ejpam-2335	22	15	)	)	PUNCT
ejpam-2335	22	16	∈	∈	PROPN
ejpam-2335	22	17	c(d+	c(d+	NOUN
ejpam-2335	22	18	)	)	PUNCT
ejpam-2335	22	19	,	,	PUNCT
ejpam-2335	22	20	f2(x	f2(x	X
ejpam-2335	22	21	)	)	PUNCT
ejpam-2335	22	22	∈	∈	PROPN
ejpam-2335	22	23	c(d−	c(d−	NOUN
ejpam-2335	22	24	)	)	PUNCT
ejpam-2335	22	25	,	,	PUNCT
ejpam-2335	22	26	(	(	PUNCT
ejpam-2335	22	27	3	3	X
ejpam-2335	22	28	)	)	PUNCT
ejpam-2335	22	29	lu(x	lu(x	PUNCT
ejpam-2335	22	30	,	,	PUNCT
ejpam-2335	22	31	t	t	X
ejpam-2335	22	32	)	)	PUNCT
ejpam-2335	22	33	=	=	SYM
ejpam-2335	22	34	¨	¨	NOUN
ejpam-2335	22	35	ut	ut	PROPN
ejpam-2335	22	36	−	−	PROPN
ejpam-2335	22	37	ux	ux	PROPN
ejpam-2335	22	38	x	x	PUNCT
ejpam-2335	23	1	+	+	CCONJ
ejpam-2335	23	2	b2u=	b2u=	PROPN
ejpam-2335	23	3	f1(x	f1(x	NUM
ejpam-2335	23	4	)	)	PUNCT
ejpam-2335	23	5	;	;	PUNCT
ejpam-2335	23	6	>	>	X
ejpam-2335	23	7	0	0	NUM
ejpam-2335	23	8	,	,	PUNCT
ejpam-2335	23	9	ut	ut	PROPN
ejpam-2335	23	10	t	t	PROPN
ejpam-2335	23	11	−	−	PROPN
ejpam-2335	23	12	ux	ux	PROPN
ejpam-2335	23	13	x	x	PUNCT
ejpam-2335	24	1	+	+	CCONJ
ejpam-2335	24	2	b2u=	b2u=	PROPN
ejpam-2335	24	3	f2(x	f2(x	PROPN
ejpam-2335	24	4	)	)	PUNCT
ejpam-2335	25	1	;	;	PUNCT
ejpam-2335	25	2	<	<	X
ejpam-2335	25	3	0	0	NUM
ejpam-2335	25	4	,	,	PUNCT
ejpam-2335	25	5	(	(	PUNCT
ejpam-2335	25	6	x	x	X
ejpam-2335	25	7	,	,	PUNCT
ejpam-2335	25	8	t	t	PROPN
ejpam-2335	25	9	)	)	PUNCT
ejpam-2335	25	10	∈	∈	PROPN
ejpam-2335	25	11	d+	d+	NOUN
ejpam-2335	25	12	∪	∪	ADP
ejpam-2335	25	13	d−	d−	PROPN
ejpam-2335	25	14	,	,	PUNCT
ejpam-2335	25	15	(	(	PUNCT
ejpam-2335	25	16	4	4	X
ejpam-2335	25	17	)	)	PUNCT
ejpam-2335	25	18	u(0	u(0	PROPN
ejpam-2335	25	19	,	,	PUNCT
ejpam-2335	25	20	t	t	PROPN
ejpam-2335	25	21	)	)	PUNCT
ejpam-2335	25	22	=	=	SYM
ejpam-2335	25	23	g(t	g(t	PROPN
ejpam-2335	25	24	)	)	PUNCT
ejpam-2335	25	25	;	;	PUNCT
ejpam-2335	25	26	−α≤	−α≤	PROPN
ejpam-2335	25	27	t	t	PROPN
ejpam-2335	25	28	leqβ	leqβ	NOUN
ejpam-2335	25	29	,	,	PUNCT
ejpam-2335	25	30	(	(	PUNCT
ejpam-2335	25	31	5	5	X
ejpam-2335	25	32	)	)	PUNCT
ejpam-2335	25	33	u(1	u(1	PROPN
ejpam-2335	25	34	,	,	PUNCT
ejpam-2335	25	35	t	t	PROPN
ejpam-2335	25	36	)	)	PUNCT
ejpam-2335	25	37	=	=	NOUN
ejpam-2335	25	38	h(t	h(t	NUM
ejpam-2335	25	39	)	)	PUNCT
ejpam-2335	25	40	;	;	PUNCT
ejpam-2335	25	41	−α≤	−α≤	PROPN
ejpam-2335	25	42	t	t	PROPN
ejpam-2335	25	43	leqβ	leqβ	NOUN
ejpam-2335	25	44	,	,	PUNCT
ejpam-2335	25	45	(	(	PUNCT
ejpam-2335	25	46	6	6	X
ejpam-2335	25	47	)	)	PUNCT
ejpam-2335	25	48	u(x	u(x	NOUN
ejpam-2335	25	49	,	,	PUNCT
ejpam-2335	25	50	−α	−α	NOUN
ejpam-2335	25	51	)	)	PUNCT
ejpam-2335	26	1	=	=	NOUN
ejpam-2335	26	2	ψ(x	ψ(x	NOUN
ejpam-2335	26	3	)	)	PUNCT
ejpam-2335	26	4	;	;	PUNCT
ejpam-2335	27	1	0≤	0≤	NUM
ejpam-2335	27	2	x	x	SYM
ejpam-2335	27	3	≤	≤	NUM
ejpam-2335	27	4	1	1	NUM
ejpam-2335	27	5	,	,	PUNCT
ejpam-2335	27	6	(	(	PUNCT
ejpam-2335	27	7	7	7	NUM
ejpam-2335	27	8	)	)	PUNCT
ejpam-2335	27	9	ut(x	ut(x	NOUN
ejpam-2335	27	10	,	,	PUNCT
ejpam-2335	27	11	−α	−α	NOUN
ejpam-2335	27	12	)	)	PUNCT
ejpam-2335	27	13	=	=	SYM
ejpam-2335	27	14	q(x	q(x	NOUN
ejpam-2335	27	15	)	)	PUNCT
ejpam-2335	27	16	;	;	PUNCT
ejpam-2335	27	17	0≤	0≤	NUM
ejpam-2335	27	18	x	x	X
ejpam-2335	27	19	≤	≤	NUM
ejpam-2335	27	20	1	1	NUM
ejpam-2335	27	21	,	,	PUNCT
ejpam-2335	27	22	(	(	PUNCT
ejpam-2335	27	23	8)	8)	NUM
ejpam-2335	27	24	u(x	u(x	NOUN
ejpam-2335	27	25	,	,	PUNCT
ejpam-2335	27	26	β	β	NOUN
ejpam-2335	27	27	)	)	PUNCT
ejpam-2335	28	1	=	=	NOUN
ejpam-2335	28	2	ϕ(x	ϕ(x	X
ejpam-2335	28	3	)	)	PUNCT
ejpam-2335	28	4	;	;	PUNCT
ejpam-2335	28	5	0≤	0≤	NUM
ejpam-2335	28	6	x	x	X
ejpam-2335	28	7	≤	≤	NUM
ejpam-2335	28	8	1	1	NUM
ejpam-2335	28	9	,	,	PUNCT
ejpam-2335	28	10	(	(	PUNCT
ejpam-2335	28	11	9	9	X
ejpam-2335	28	12	)	)	PUNCT
ejpam-2335	28	13	where	where	SCONJ
ejpam-2335	28	14	g(t	g(t	PROPN
ejpam-2335	28	15	)	)	PUNCT
ejpam-2335	28	16	,	,	PUNCT
ejpam-2335	28	17	h(t	h(t	PROPN
ejpam-2335	28	18	)	)	PUNCT
ejpam-2335	28	19	,	,	PUNCT
ejpam-2335	28	20	q(t),ψ(x	q(t),ψ(x	NOUN
ejpam-2335	28	21	)	)	PUNCT
ejpam-2335	28	22	andϕ(x	andϕ(x	NOUN
ejpam-2335	28	23	)	)	PUNCT
ejpam-2335	28	24	are	be	AUX
ejpam-2335	28	25	given	give	VERB
ejpam-2335	28	26	sufficiently	sufficiently	ADV
ejpam-2335	28	27	smooth	smooth	ADJ
ejpam-2335	28	28	functions	function	NOUN
ejpam-2335	28	29	,	,	PUNCT
ejpam-2335	28	30	d−	d−	PROPN
ejpam-2335	28	31	=	=	PRON
ejpam-2335	28	32	d∩{t	d∩{t	VERB
ejpam-2335	28	33	<	<	X
ejpam-2335	28	34	0	0	NUM
ejpam-2335	28	35	}	}	PUNCT
ejpam-2335	28	36	and	and	CCONJ
ejpam-2335	28	37	d+	d+	NOUN
ejpam-2335	28	38	=	=	SYM
ejpam-2335	28	39	d	d	NOUN
ejpam-2335	28	40	∩	∩	X
ejpam-2335	28	41	{	{	PUNCT
ejpam-2335	28	42	t	t	X
ejpam-2335	28	43	>	>	X
ejpam-2335	28	44	0	0	NUM
ejpam-2335	28	45	}	}	PUNCT
ejpam-2335	28	46	.	.	PUNCT
ejpam-2335	29	1	the	the	DET
ejpam-2335	29	2	existence	existence	NOUN
ejpam-2335	29	3	and	and	CCONJ
ejpam-2335	29	4	uniqueness	uniqueness	NOUN
ejpam-2335	29	5	of	of	ADP
ejpam-2335	29	6	the	the	DET
ejpam-2335	29	7	solution	solution	NOUN
ejpam-2335	29	8	of	of	ADP
ejpam-2335	29	9	this	this	DET
ejpam-2335	29	10	problem	problem	NOUN
ejpam-2335	29	11	are	be	AUX
ejpam-2335	29	12	discussed	discuss	VERB
ejpam-2335	29	13	in	in	ADP
ejpam-2335	29	14	[	[	X
ejpam-2335	29	15	30	30	NUM
ejpam-2335	29	16	]	]	PUNCT
ejpam-2335	29	17	.	.	PUNCT
ejpam-2335	30	1	the	the	DET
ejpam-2335	30	2	first	first	ADJ
ejpam-2335	30	3	fundamental	fundamental	ADJ
ejpam-2335	30	4	research	research	NOUN
ejpam-2335	30	5	on	on	ADP
ejpam-2335	30	6	the	the	DET
ejpam-2335	30	7	theory	theory	NOUN
ejpam-2335	30	8	of	of	ADP
ejpam-2335	30	9	mixed	mixed	ADJ
ejpam-2335	30	10	type	type	NOUN
ejpam-2335	30	11	equations	equation	NOUN
ejpam-2335	30	12	are	be	AUX
ejpam-2335	30	13	works	work	NOUN
ejpam-2335	30	14	of	of	ADP
ejpam-2335	30	15	f.	f.	PROPN
ejpam-2335	30	16	tricomi	tricomi	PROPN
ejpam-2335	30	17	,	,	PUNCT
ejpam-2335	30	18	and	and	CCONJ
ejpam-2335	30	19	s.	s.	PROPN
ejpam-2335	30	20	gellerstedt	gellerstedt	PROPN
ejpam-2335	30	21	,	,	PUNCT
ejpam-2335	30	22	which	which	PRON
ejpam-2335	30	23	were	be	AUX
ejpam-2335	30	24	published	publish	VERB
ejpam-2335	30	25	in	in	ADP
ejpam-2335	30	26	the	the	DET
ejpam-2335	30	27	1920	1920	NUM
ejpam-2335	30	28	’s	’s	NOUN
ejpam-2335	30	29	.	.	PUNCT
ejpam-2335	31	1	due	due	ADP
ejpam-2335	31	2	to	to	ADP
ejpam-2335	31	3	the	the	DET
ejpam-2335	31	4	research	research	NOUN
ejpam-2335	31	5	of	of	ADP
ejpam-2335	31	6	f.i	f.i	PROPN
ejpam-2335	31	7	.	.	PROPN
ejpam-2335	31	8	frankl	frankl	PROPN
ejpam-2335	31	9	,	,	PUNCT
ejpam-2335	31	10	i.n	i.n	PROPN
ejpam-2335	31	11	.	.	PROPN
ejpam-2335	31	12	vekua	vekua	PROPN
ejpam-2335	31	13	,	,	PUNCT
ejpam-2335	31	14	m.a	m.a	PROPN
ejpam-2335	31	15	.	.	PROPN
ejpam-2335	31	16	lavrentâăźev	lavrentâăźev	PROPN
ejpam-2335	31	17	and	and	CCONJ
ejpam-2335	31	18	a.v.bitsadze	a.v.bitsadze	NOUN
ejpam-2335	31	19	,	,	PUNCT
ejpam-2335	31	20	k.i	k.i	PROPN
ejpam-2335	31	21	.	.	PUNCT
ejpam-2335	31	22	babenko	babenko	PROPN
ejpam-2335	31	23	,	,	PUNCT
ejpam-2335	31	24	p.	p.	NOUN
ejpam-2335	31	25	germain	germain	PROPN
ejpam-2335	31	26	and	and	CCONJ
ejpam-2335	31	27	r.	r.	PROPN
ejpam-2335	31	28	bader	bader	PROPN
ejpam-2335	31	29	,	,	PUNCT
ejpam-2335	31	30	m.	m.	NOUN
ejpam-2335	31	31	protter	protter	PROPN
ejpam-2335	31	32	,	,	PUNCT
ejpam-2335	31	33	k.	k.	PROPN
ejpam-2335	31	34	morawetz	morawetz	PROPN
ejpam-2335	31	35	,	,	PUNCT
ejpam-2335	31	36	m.s	m.s	PROPN
ejpam-2335	31	37	.	.	PROPN
ejpam-2335	31	38	salakhitdinov	salakhitdinov	PROPN
ejpam-2335	31	39	,	,	PUNCT
ejpam-2335	31	40	t.d	t.d	PROPN
ejpam-2335	31	41	.	.	PROPN
ejpam-2335	31	42	djuraev	djuraev	PROPN
ejpam-2335	31	43	,	,	PUNCT
ejpam-2335	31	44	a.m.	a.m.	PROPN
ejpam-2335	31	45	nakhushev	nakhushev	PROPN
ejpam-2335	31	46	,	,	PUNCT
ejpam-2335	31	47	v.n	v.n	PROPN
ejpam-2335	31	48	.	.	PROPN
ejpam-2335	31	49	vragov	vragov	PROPN
ejpam-2335	31	50	and	and	CCONJ
ejpam-2335	31	51	many	many	ADJ
ejpam-2335	31	52	other	other	ADJ
ejpam-2335	31	53	authors	author	NOUN
ejpam-2335	31	54	,	,	PUNCT
ejpam-2335	31	55	this	this	DET
ejpam-2335	31	56	theory	theory	NOUN
ejpam-2335	31	57	became	become	VERB
ejpam-2335	31	58	one	one	NUM
ejpam-2335	31	59	of	of	ADP
ejpam-2335	31	60	the	the	DET
ejpam-2335	31	61	main	main	ADJ
ejpam-2335	31	62	directions	direction	NOUN
ejpam-2335	31	63	of	of	ADP
ejpam-2335	31	64	the	the	DET
ejpam-2335	31	65	modern	modern	ADJ
ejpam-2335	31	66	theory	theory	NOUN
ejpam-2335	31	67	of	of	ADP
ejpam-2335	31	68	partial	partial	ADJ
ejpam-2335	31	69	differential	differential	ADJ
ejpam-2335	31	70	equations	equation	NOUN
ejpam-2335	31	71	[	[	X
ejpam-2335	31	72	1	1	NUM
ejpam-2335	31	73	]	]	PUNCT
ejpam-2335	31	74	.	.	PUNCT
ejpam-2335	32	1	the	the	DET
ejpam-2335	32	2	necessity	necessity	NOUN
ejpam-2335	32	3	of	of	ADP
ejpam-2335	32	4	the	the	DET
ejpam-2335	32	5	consideration	consideration	NOUN
ejpam-2335	32	6	of	of	ADP
ejpam-2335	32	7	the	the	DET
ejpam-2335	32	8	parabolic	parabolic	ADJ
ejpam-2335	32	9	-	-	PUNCT
ejpam-2335	32	10	hyperbolic	hyperbolic	ADJ
ejpam-2335	32	11	type	type	NOUN
ejpam-2335	32	12	equation	equation	NOUN
ejpam-2335	32	13	was	be	AUX
ejpam-2335	32	14	specified	specify	VERB
ejpam-2335	32	15	in	in	ADP
ejpam-2335	32	16	1959	1959	NUM
ejpam-2335	32	17	by	by	ADP
ejpam-2335	32	18	i.	i.	PROPN
ejpam-2335	32	19	m.	m.	PROPN
ejpam-2335	32	20	gelfand	gelfand	PROPN
ejpam-2335	33	1	[	[	X
ejpam-2335	33	2	7	7	NUM
ejpam-2335	33	3	]	]	PUNCT
ejpam-2335	33	4	.	.	PUNCT
ejpam-2335	34	1	he	he	PRON
ejpam-2335	34	2	considered	consider	VERB
ejpam-2335	34	3	the	the	DET
ejpam-2335	34	4	problem	problem	NOUN
ejpam-2335	34	5	on	on	ADP
ejpam-2335	34	6	the	the	DET
ejpam-2335	34	7	motion	motion	NOUN
ejpam-2335	34	8	of	of	ADP
ejpam-2335	34	9	a	a	DET
ejpam-2335	34	10	gas	gas	NOUN
ejpam-2335	34	11	in	in	ADP
ejpam-2335	34	12	a	a	DET
ejpam-2335	34	13	channel	channel	NOUN
ejpam-2335	34	14	surrounded	surround	VERB
ejpam-2335	34	15	by	by	ADP
ejpam-2335	34	16	a	a	DET
ejpam-2335	34	17	porous	porous	ADJ
ejpam-2335	34	18	medium	medium	NOUN
ejpam-2335	34	19	;	;	PUNCT
ejpam-2335	34	20	the	the	DET
ejpam-2335	34	21	motion	motion	NOUN
ejpam-2335	34	22	is	be	AUX
ejpam-2335	34	23	described	describe	VERB
ejpam-2335	34	24	by	by	ADP
ejpam-2335	34	25	the	the	DET
ejpam-2335	34	26	wave	wave	NOUN
ejpam-2335	34	27	equation	equation	NOUN
ejpam-2335	34	28	in	in	ADP
ejpam-2335	34	29	the	the	DET
ejpam-2335	34	30	channel	channel	NOUN
ejpam-2335	34	31	and	and	CCONJ
ejpam-2335	34	32	by	by	ADP
ejpam-2335	34	33	the	the	DET
ejpam-2335	34	34	diffusion	diffusion	NOUN
ejpam-2335	34	35	equation	equation	NOUN
ejpam-2335	34	36	outside	outside	ADP
ejpam-2335	34	37	the	the	DET
ejpam-2335	34	38	channel	channel	NOUN
ejpam-2335	34	39	.	.	PUNCT
ejpam-2335	35	1	at	at	ADP
ejpam-2335	35	2	present	present	ADJ
ejpam-2335	35	3	,	,	PUNCT
ejpam-2335	35	4	the	the	DET
ejpam-2335	35	5	most	most	ADV
ejpam-2335	35	6	complete	complete	ADJ
ejpam-2335	35	7	results	result	NOUN
ejpam-2335	35	8	have	have	AUX
ejpam-2335	35	9	been	be	AUX
ejpam-2335	35	10	obtained	obtain	VERB
ejpam-2335	35	11	in	in	ADP
ejpam-2335	35	12	the	the	DET
ejpam-2335	35	13	study	study	NOUN
ejpam-2335	35	14	of	of	ADP
ejpam-2335	35	15	direct	direct	ADJ
ejpam-2335	35	16	problems	problem	NOUN
ejpam-2335	35	17	for	for	ADP
ejpam-2335	35	18	equations	equation	NOUN
ejpam-2335	35	19	of	of	ADP
ejpam-2335	35	20	mixed	mixed	ADJ
ejpam-2335	35	21	type	type	NOUN
ejpam-2335	35	22	.	.	PUNCT
ejpam-2335	36	1	for	for	ADP
ejpam-2335	36	2	example	example	NOUN
ejpam-2335	36	3	,	,	PUNCT
ejpam-2335	36	4	boundary	boundary	ADJ
ejpam-2335	36	5	-	-	PUNCT
ejpam-2335	36	6	value	value	NOUN
ejpam-2335	36	7	problems	problem	NOUN
ejpam-2335	36	8	for	for	ADP
ejpam-2335	36	9	equations	equation	NOUN
ejpam-2335	36	10	of	of	ADP
ejpam-2335	36	11	mixed	mixed	ADJ
ejpam-2335	36	12	parabolic	parabolic	ADJ
ejpam-2335	36	13	-	-	PUNCT
ejpam-2335	36	14	hyperbolic	hyperbolic	ADJ
ejpam-2335	36	15	type	type	NOUN
ejpam-2335	36	16	were	be	AUX
ejpam-2335	36	17	studied	study	VERB
ejpam-2335	36	18	in	in	ADP
ejpam-2335	36	19	[	[	X
ejpam-2335	36	20	2	2	NUM
ejpam-2335	36	21	,	,	PUNCT
ejpam-2335	36	22	25	25	NUM
ejpam-2335	36	23	]	]	PUNCT
ejpam-2335	36	24	.	.	PUNCT
ejpam-2335	37	1	in	in	ADP
ejpam-2335	37	2	recent	recent	ADJ
ejpam-2335	37	3	years	year	NOUN
ejpam-2335	37	4	,	,	PUNCT
ejpam-2335	37	5	in	in	ADP
ejpam-2335	37	6	[	[	X
ejpam-2335	37	7	27	27	NUM
ejpam-2335	37	8	,	,	PUNCT
ejpam-2335	37	9	28	28	NUM
ejpam-2335	37	10	]	]	PUNCT
ejpam-2335	37	11	,	,	PUNCT
ejpam-2335	37	12	a	a	DET
ejpam-2335	37	13	new	new	ADJ
ejpam-2335	37	14	approach	approach	NOUN
ejpam-2335	37	15	,	,	PUNCT
ejpam-2335	37	16	the	the	DET
ejpam-2335	37	17	spectral	spectral	ADJ
ejpam-2335	37	18	expansion	expansion	NOUN
ejpam-2335	37	19	method	method	NOUN
ejpam-2335	37	20	,	,	PUNCT
ejpam-2335	37	21	was	be	AUX
ejpam-2335	37	22	proposed	propose	VERB
ejpam-2335	37	23	for	for	ADP
ejpam-2335	37	24	justifying	justify	VERB
ejpam-2335	37	25	the	the	DET
ejpam-2335	37	26	existence	existence	NOUN
ejpam-2335	37	27	and	and	CCONJ
ejpam-2335	37	28	uniqueness	uniqueness	NOUN
ejpam-2335	37	29	of	of	ADP
ejpam-2335	37	30	solutions	solution	NOUN
ejpam-2335	37	31	of	of	ADP
ejpam-2335	37	32	direct	direct	ADJ
ejpam-2335	37	33	problems	problem	NOUN
ejpam-2335	37	34	for	for	ADP
ejpam-2335	37	35	mixed	mixed	ADJ
ejpam-2335	37	36	-	-	PUNCT
ejpam-2335	37	37	type	type	NOUN
ejpam-2335	37	38	equations	equation	NOUN
ejpam-2335	37	39	.	.	PUNCT
ejpam-2335	38	1	via	via	ADP
ejpam-2335	38	2	such	such	DET
ejpam-2335	38	3	a	a	DET
ejpam-2335	38	4	method	method	NOUN
ejpam-2335	38	5	,	,	PUNCT
ejpam-2335	38	6	inverse	inverse	NOUN
ejpam-2335	38	7	problems	problem	NOUN
ejpam-2335	38	8	for	for	ADP
ejpam-2335	38	9	equations	equation	NOUN
ejpam-2335	38	10	of	of	ADP
ejpam-2335	38	11	mixed	mixed	ADJ
ejpam-2335	38	12	parabolic	parabolic	ADJ
ejpam-2335	38	13	-	-	PUNCT
ejpam-2335	38	14	hyperbolic	hyperbolic	ADJ
ejpam-2335	38	15	type	type	NOUN
ejpam-2335	38	16	were	be	AUX
ejpam-2335	38	17	solved	solve	VERB
ejpam-2335	38	18	in	in	ADP
ejpam-2335	38	19	[	[	X
ejpam-2335	38	20	25	25	NUM
ejpam-2335	38	21	,	,	PUNCT
ejpam-2335	38	22	27	27	NUM
ejpam-2335	38	23	]	]	PUNCT
ejpam-2335	38	24	.	.	PUNCT
ejpam-2335	39	1	the	the	DET
ejpam-2335	39	2	existence	existence	NOUN
ejpam-2335	39	3	and	and	CCONJ
ejpam-2335	39	4	uniqueness	uniqueness	NOUN
ejpam-2335	39	5	of	of	ADP
ejpam-2335	39	6	the	the	DET
ejpam-2335	39	7	solution	solution	NOUN
ejpam-2335	39	8	of	of	ADP
ejpam-2335	39	9	these	these	DET
ejpam-2335	39	10	problems	problem	NOUN
ejpam-2335	39	11	and	and	CCONJ
ejpam-2335	39	12	more	more	ADJ
ejpam-2335	39	13	applications	application	NOUN
ejpam-2335	39	14	are	be	AUX
ejpam-2335	39	15	discussed	discuss	VERB
ejpam-2335	39	16	by	by	ADP
ejpam-2335	39	17	several	several	ADJ
ejpam-2335	39	18	authors	author	NOUN
ejpam-2335	39	19	[	[	X
ejpam-2335	39	20	12	12	NUM
ejpam-2335	39	21	,	,	PUNCT
ejpam-2335	39	22	20	20	NUM
ejpam-2335	39	23	,	,	PUNCT
ejpam-2335	39	24	26–29	26–29	NOUN
ejpam-2335	39	25	,	,	PUNCT
ejpam-2335	39	26	31	31	NUM
ejpam-2335	39	27	]	]	PUNCT
ejpam-2335	39	28	.	.	PUNCT
ejpam-2335	40	1	however	however	ADV
ejpam-2335	40	2	,	,	PUNCT
ejpam-2335	40	3	the	the	DET
ejpam-2335	40	4	theory	theory	NOUN
ejpam-2335	40	5	of	of	ADP
ejpam-2335	40	6	the	the	DET
ejpam-2335	40	7	numerical	numerical	ADJ
ejpam-2335	40	8	solution	solution	NOUN
ejpam-2335	40	9	of	of	ADP
ejpam-2335	40	10	this	this	DET
ejpam-2335	40	11	problem	problem	NOUN
ejpam-2335	40	12	is	be	AUX
ejpam-2335	40	13	far	far	ADV
ejpam-2335	40	14	from	from	ADP
ejpam-2335	40	15	satisfactory	satisfactory	ADJ
ejpam-2335	40	16	.	.	PUNCT
ejpam-2335	41	1	in	in	ADP
ejpam-2335	41	2	this	this	DET
ejpam-2335	41	3	paper	paper	NOUN
ejpam-2335	41	4	,	,	PUNCT
ejpam-2335	41	5	we	we	PRON
ejpam-2335	41	6	proposed	propose	VERB
ejpam-2335	41	7	a	a	DET
ejpam-2335	41	8	numerical	numerical	ADJ
ejpam-2335	41	9	technique	technique	NOUN
ejpam-2335	41	10	to	to	PART
ejpam-2335	41	11	solve	solve	VERB
ejpam-2335	41	12	this	this	DET
ejpam-2335	41	13	problem	problem	NOUN
ejpam-2335	41	14	.	.	PUNCT
ejpam-2335	42	1	this	this	DET
ejpam-2335	42	2	method	method	NOUN
ejpam-2335	42	3	is	be	AUX
ejpam-2335	42	4	a	a	DET
ejpam-2335	42	5	combination	combination	NOUN
ejpam-2335	42	6	of	of	ADP
ejpam-2335	42	7	collocation	collocation	NOUN
ejpam-2335	42	8	method	method	NOUN
ejpam-2335	42	9	and	and	CCONJ
ejpam-2335	42	10	ga	ga	NOUN
ejpam-2335	42	11	-	-	NOUN
ejpam-2335	42	12	rbfs	rbfs	NOUN
ejpam-2335	42	13	as	as	ADP
ejpam-2335	42	14	a	a	DET
ejpam-2335	42	15	truly	truly	ADV
ejpam-2335	42	16	meshless	meshless	ADJ
ejpam-2335	42	17	method	method	NOUN
ejpam-2335	42	18	.	.	PUNCT
ejpam-2335	43	1	the	the	DET
ejpam-2335	43	2	use	use	NOUN
ejpam-2335	43	3	of	of	ADP
ejpam-2335	43	4	rbfs	rbfs	NOUN
ejpam-2335	43	5	as	as	ADP
ejpam-2335	43	6	a	a	DET
ejpam-2335	43	7	meshless	meshless	ADJ
ejpam-2335	43	8	method	method	NOUN
ejpam-2335	43	9	for	for	ADP
ejpam-2335	43	10	numerical	numerical	ADJ
ejpam-2335	43	11	solution	solution	NOUN
ejpam-2335	43	12	of	of	ADP
ejpam-2335	43	13	partial	partial	ADJ
ejpam-2335	43	14	differential	differential	NOUN
ejpam-2335	43	15	equations	equation	NOUN
ejpam-2335	43	16	is	be	AUX
ejpam-2335	43	17	based	base	VERB
ejpam-2335	43	18	on	on	ADP
ejpam-2335	43	19	the	the	DET
ejpam-2335	43	20	collocation	collocation	NOUN
ejpam-2335	43	21	scheme	scheme	NOUN
ejpam-2335	43	22	.	.	PUNCT
ejpam-2335	44	1	due	due	ADP
ejpam-2335	44	2	to	to	ADP
ejpam-2335	44	3	the	the	DET
ejpam-2335	44	4	collocation	collocation	NOUN
ejpam-2335	44	5	technique	technique	NOUN
ejpam-2335	44	6	,	,	PUNCT
ejpam-2335	44	7	this	this	DET
ejpam-2335	44	8	method	method	NOUN
ejpam-2335	44	9	does	do	AUX
ejpam-2335	44	10	not	not	PART
ejpam-2335	44	11	need	need	VERB
ejpam-2335	44	12	to	to	PART
ejpam-2335	44	13	evaluate	evaluate	VERB
ejpam-2335	44	14	any	any	DET
ejpam-2335	44	15	integral	integral	NOUN
ejpam-2335	44	16	.	.	PUNCT
ejpam-2335	45	1	the	the	DET
ejpam-2335	45	2	main	main	ADJ
ejpam-2335	45	3	advantage	advantage	NOUN
ejpam-2335	45	4	of	of	ADP
ejpam-2335	45	5	numerical	numerical	ADJ
ejpam-2335	45	6	procedures	procedure	NOUN
ejpam-2335	45	7	which	which	PRON
ejpam-2335	45	8	use	use	VERB
ejpam-2335	45	9	radial	radial	ADJ
ejpam-2335	45	10	basis	basis	NOUN
ejpam-2335	45	11	functions	function	NOUN
ejpam-2335	45	12	over	over	ADP
ejpam-2335	45	13	traditional	traditional	ADJ
ejpam-2335	45	14	techniques	technique	NOUN
ejpam-2335	45	15	is	be	AUX
ejpam-2335	45	16	the	the	DET
ejpam-2335	45	17	meshless	meshless	ADJ
ejpam-2335	45	18	property	property	NOUN
ejpam-2335	45	19	of	of	ADP
ejpam-2335	45	20	these	these	DET
ejpam-2335	45	21	methods	method	NOUN
ejpam-2335	45	22	.	.	PUNCT
ejpam-2335	46	1	f.	f.	PROPN
ejpam-2335	46	2	parzlivand	parzlivand	PROPN
ejpam-2335	46	3	,	,	PUNCT
ejpam-2335	46	4	a.	a.	NOUN
ejpam-2335	46	5	shahrezaee	shahrezaee	PROPN
ejpam-2335	46	6	/	/	SYM
ejpam-2335	46	7	eur	eur	PROPN
ejpam-2335	46	8	.	.	PUNCT
ejpam-2335	47	1	j.	j.	PROPN
ejpam-2335	47	2	pure	pure	PROPN
ejpam-2335	47	3	appl	appl	PROPN
ejpam-2335	47	4	.	.	PROPN
ejpam-2335	47	5	math	math	PROPN
ejpam-2335	47	6	,	,	PUNCT
ejpam-2335	47	7	8	8	NUM
ejpam-2335	47	8	(	(	PUNCT
ejpam-2335	47	9	2015	2015	NUM
ejpam-2335	47	10	)	)	PUNCT
ejpam-2335	47	11	,	,	PUNCT
ejpam-2335	47	12	239	239	NUM
ejpam-2335	47	13	-	-	SYM
ejpam-2335	47	14	254	254	NUM
ejpam-2335	47	15	241	241	NUM
ejpam-2335	47	16	rbfs	rbfs	NOUN
ejpam-2335	47	17	are	be	AUX
ejpam-2335	47	18	used	use	VERB
ejpam-2335	47	19	actively	actively	ADV
ejpam-2335	47	20	for	for	ADP
ejpam-2335	47	21	solving	solve	VERB
ejpam-2335	47	22	partial	partial	ADJ
ejpam-2335	47	23	differential	differential	ADJ
ejpam-2335	47	24	equations	equation	NOUN
ejpam-2335	47	25	(	(	PUNCT
ejpam-2335	47	26	pdes	pde	NOUN
ejpam-2335	47	27	)	)	PUNCT
ejpam-2335	47	28	and	and	CCONJ
ejpam-2335	47	29	ordinary	ordinary	ADJ
ejpam-2335	47	30	differential	differential	ADJ
ejpam-2335	47	31	equations	equation	NOUN
ejpam-2335	47	32	(	(	PUNCT
ejpam-2335	47	33	odes	ode	NOUN
ejpam-2335	47	34	)	)	PUNCT
ejpam-2335	47	35	.	.	PUNCT
ejpam-2335	48	1	for	for	ADP
ejpam-2335	48	2	example	example	NOUN
ejpam-2335	48	3	see	see	VERB
ejpam-2335	48	4	[	[	X
ejpam-2335	48	5	10	10	NUM
ejpam-2335	48	6	,	,	PUNCT
ejpam-2335	48	7	13	13	NUM
ejpam-2335	48	8	,	,	PUNCT
ejpam-2335	48	9	21	21	NUM
ejpam-2335	48	10	]	]	PUNCT
ejpam-2335	48	11	.	.	PUNCT
ejpam-2335	49	1	also	also	ADV
ejpam-2335	49	2	some	some	DET
ejpam-2335	49	3	applications	application	NOUN
ejpam-2335	49	4	of	of	ADP
ejpam-2335	49	5	these	these	DET
ejpam-2335	49	6	functions	function	NOUN
ejpam-2335	49	7	in	in	ADP
ejpam-2335	49	8	solving	solve	VERB
ejpam-2335	49	9	inverse	inverse	NOUN
ejpam-2335	49	10	problems	problem	NOUN
ejpam-2335	49	11	can	can	AUX
ejpam-2335	49	12	be	be	AUX
ejpam-2335	49	13	found	find	VERB
ejpam-2335	49	14	in	in	ADP
ejpam-2335	49	15	[	[	NOUN
ejpam-2335	49	16	9	9	NUM
ejpam-2335	49	17	,	,	PUNCT
ejpam-2335	49	18	17	17	NUM
ejpam-2335	49	19	,	,	PUNCT
ejpam-2335	49	20	18	18	NUM
ejpam-2335	49	21	,	,	PUNCT
ejpam-2335	49	22	23	23	NUM
ejpam-2335	49	23	]	]	PUNCT
ejpam-2335	49	24	.	.	PUNCT
ejpam-2335	50	1	our	our	PRON
ejpam-2335	50	2	approach	approach	NOUN
ejpam-2335	50	3	in	in	ADP
ejpam-2335	50	4	the	the	DET
ejpam-2335	50	5	current	current	ADJ
ejpam-2335	50	6	paper	paper	NOUN
ejpam-2335	50	7	is	be	AUX
ejpam-2335	50	8	different	different	ADJ
ejpam-2335	50	9	.	.	PUNCT
ejpam-2335	51	1	we	we	PRON
ejpam-2335	51	2	introduce	introduce	VERB
ejpam-2335	51	3	a	a	DET
ejpam-2335	51	4	direct	direct	ADJ
ejpam-2335	51	5	computational	computational	ADJ
ejpam-2335	51	6	method	method	NOUN
ejpam-2335	51	7	to	to	PART
ejpam-2335	51	8	solve	solve	VERB
ejpam-2335	51	9	the	the	DET
ejpam-2335	51	10	problem	problem	NOUN
ejpam-2335	51	11	.	.	PUNCT
ejpam-2335	52	1	this	this	DET
ejpam-2335	52	2	method	method	NOUN
ejpam-2335	52	3	consists	consist	VERB
ejpam-2335	52	4	of	of	ADP
ejpam-2335	52	5	reducing	reduce	VERB
ejpam-2335	52	6	the	the	DET
ejpam-2335	52	7	problem	problem	NOUN
ejpam-2335	52	8	to	to	ADP
ejpam-2335	52	9	a	a	DET
ejpam-2335	52	10	set	set	NOUN
ejpam-2335	52	11	of	of	ADP
ejpam-2335	52	12	algebraic	algebraic	ADJ
ejpam-2335	52	13	equations	equation	NOUN
ejpam-2335	52	14	by	by	ADP
ejpam-2335	52	15	expanding	expand	VERB
ejpam-2335	52	16	the	the	DET
ejpam-2335	52	17	candidate	candidate	NOUN
ejpam-2335	52	18	function	function	NOUN
ejpam-2335	52	19	as	as	ADP
ejpam-2335	52	20	ga	ga	NOUN
ejpam-2335	52	21	-	-	NOUN
ejpam-2335	52	22	rbfs	rbfs	NOUN
ejpam-2335	52	23	with	with	ADP
ejpam-2335	52	24	unknown	unknown	ADJ
ejpam-2335	52	25	coefficients	coefficient	NOUN
ejpam-2335	52	26	.	.	PUNCT
ejpam-2335	53	1	2	2	X
ejpam-2335	53	2	.	.	X
ejpam-2335	53	3	radial	radial	ADJ
ejpam-2335	53	4	basis	basis	NOUN
ejpam-2335	53	5	functions	function	NOUN
ejpam-2335	53	6	for	for	ADP
ejpam-2335	53	7	the	the	DET
ejpam-2335	53	8	last	last	ADJ
ejpam-2335	53	9	years	year	NOUN
ejpam-2335	53	10	,	,	PUNCT
ejpam-2335	53	11	the	the	DET
ejpam-2335	53	12	rbfs	rbfs	NOUN
ejpam-2335	53	13	method	method	NOUN
ejpam-2335	53	14	was	be	AUX
ejpam-2335	53	15	known	know	VERB
ejpam-2335	53	16	as	as	ADP
ejpam-2335	53	17	a	a	DET
ejpam-2335	53	18	powerful	powerful	ADJ
ejpam-2335	53	19	tool	tool	NOUN
ejpam-2335	53	20	for	for	ADP
ejpam-2335	53	21	the	the	DET
ejpam-2335	53	22	scattered	scatter	VERB
ejpam-2335	53	23	data	datum	NOUN
ejpam-2335	53	24	interpolation	interpolation	NOUN
ejpam-2335	53	25	problem	problem	NOUN
ejpam-2335	53	26	.	.	PUNCT
ejpam-2335	54	1	the	the	DET
ejpam-2335	54	2	main	main	ADJ
ejpam-2335	54	3	advantage	advantage	NOUN
ejpam-2335	54	4	of	of	ADP
ejpam-2335	54	5	numerical	numerical	ADJ
ejpam-2335	54	6	methods	method	NOUN
ejpam-2335	54	7	which	which	PRON
ejpam-2335	54	8	use	use	VERB
ejpam-2335	54	9	radial	radial	ADJ
ejpam-2335	54	10	basis	basis	NOUN
ejpam-2335	54	11	functions	function	NOUN
ejpam-2335	54	12	is	be	AUX
ejpam-2335	54	13	the	the	DET
ejpam-2335	54	14	meshless	meshless	ADJ
ejpam-2335	54	15	characteristic	characteristic	NOUN
ejpam-2335	54	16	of	of	ADP
ejpam-2335	54	17	these	these	DET
ejpam-2335	54	18	methods	method	NOUN
ejpam-2335	54	19	.	.	PUNCT
ejpam-2335	55	1	the	the	DET
ejpam-2335	55	2	use	use	NOUN
ejpam-2335	55	3	of	of	ADP
ejpam-2335	55	4	radial	radial	ADJ
ejpam-2335	55	5	basis	basis	NOUN
ejpam-2335	55	6	functions	function	NOUN
ejpam-2335	55	7	as	as	ADP
ejpam-2335	55	8	a	a	DET
ejpam-2335	55	9	meshless	meshless	ADJ
ejpam-2335	55	10	method	method	NOUN
ejpam-2335	55	11	for	for	ADP
ejpam-2335	55	12	the	the	DET
ejpam-2335	55	13	numerical	numerical	ADJ
ejpam-2335	55	14	solution	solution	NOUN
ejpam-2335	55	15	of	of	ADP
ejpam-2335	55	16	odes	ode	NOUN
ejpam-2335	55	17	and	and	CCONJ
ejpam-2335	55	18	pdes	pde	NOUN
ejpam-2335	55	19	is	be	AUX
ejpam-2335	55	20	based	base	VERB
ejpam-2335	55	21	on	on	ADP
ejpam-2335	55	22	the	the	DET
ejpam-2335	55	23	collocation	collocation	NOUN
ejpam-2335	55	24	method	method	NOUN
ejpam-2335	55	25	.	.	PUNCT
ejpam-2335	56	1	recently	recently	ADV
ejpam-2335	56	2	,	,	PUNCT
ejpam-2335	56	3	rbfs	rbfs	NOUN
ejpam-2335	56	4	was	be	AUX
ejpam-2335	56	5	extended	extend	VERB
ejpam-2335	56	6	to	to	PART
ejpam-2335	56	7	solve	solve	VERB
ejpam-2335	56	8	various	various	ADJ
ejpam-2335	56	9	odes	ode	NOUN
ejpam-2335	56	10	and	and	CCONJ
ejpam-2335	56	11	pdes	pde	NOUN
ejpam-2335	56	12	including	include	VERB
ejpam-2335	56	13	the	the	DET
ejpam-2335	56	14	nonlinear	nonlinear	ADJ
ejpam-2335	56	15	kleingordon	kleingordon	NOUN
ejpam-2335	56	16	equation	equation	NOUN
ejpam-2335	56	17	[	[	X
ejpam-2335	56	18	4	4	NUM
ejpam-2335	56	19	]	]	PUNCT
ejpam-2335	56	20	,	,	PUNCT
ejpam-2335	56	21	high	high	ADJ
ejpam-2335	56	22	order	order	NOUN
ejpam-2335	56	23	odes	ode	VERB
ejpam-2335	56	24	[	[	X
ejpam-2335	56	25	19	19	NUM
ejpam-2335	56	26	]	]	PUNCT
ejpam-2335	56	27	,	,	PUNCT
ejpam-2335	56	28	regularized	regularize	VERB
ejpam-2335	56	29	long	long	ADJ
ejpam-2335	56	30	wave	wave	NOUN
ejpam-2335	56	31	(	(	PUNCT
ejpam-2335	56	32	rlw	rlw	NOUN
ejpam-2335	56	33	)	)	PUNCT
ejpam-2335	56	34	equation	equation	NOUN
ejpam-2335	56	35	[	[	X
ejpam-2335	56	36	11	11	NUM
ejpam-2335	56	37	]	]	PUNCT
ejpam-2335	56	38	,	,	PUNCT
ejpam-2335	56	39	the	the	DET
ejpam-2335	56	40	case	case	NOUN
ejpam-2335	56	41	of	of	ADP
ejpam-2335	56	42	heat	heat	NOUN
ejpam-2335	56	43	transfer	transfer	NOUN
ejpam-2335	56	44	equations	equation	NOUN
ejpam-2335	56	45	[	[	X
ejpam-2335	56	46	22	22	NUM
ejpam-2335	56	47	]	]	PUNCT
ejpam-2335	56	48	,	,	PUNCT
ejpam-2335	56	49	hirota	hirota	NOUN
ejpam-2335	56	50	-	-	PUNCT
ejpam-2335	56	51	satsuma	satsuma	NOUN
ejpam-2335	56	52	coupled	couple	VERB
ejpam-2335	56	53	kdv	kdv	NOUN
ejpam-2335	56	54	equations	equation	NOUN
ejpam-2335	57	1	[	[	X
ejpam-2335	57	2	14	14	NUM
ejpam-2335	57	3	]	]	PUNCT
ejpam-2335	57	4	and	and	CCONJ
ejpam-2335	57	5	secondorder	secondorder	ADJ
ejpam-2335	57	6	parabolic	parabolic	ADJ
ejpam-2335	57	7	equation	equation	NOUN
ejpam-2335	57	8	with	with	ADP
ejpam-2335	57	9	nonlocal	nonlocal	ADJ
ejpam-2335	57	10	boundary	boundary	ADJ
ejpam-2335	57	11	conditions	condition	NOUN
ejpam-2335	57	12	[	[	X
ejpam-2335	57	13	5	5	NUM
ejpam-2335	57	14	]	]	PUNCT
ejpam-2335	57	15	.	.	PUNCT
ejpam-2335	58	1	a	a	DET
ejpam-2335	58	2	radial	radial	ADJ
ejpam-2335	58	3	basis	basis	NOUN
ejpam-2335	58	4	function	function	NOUN
ejpam-2335	58	5	is	be	AUX
ejpam-2335	58	6	a	a	DET
ejpam-2335	58	7	real	real	ADV
ejpam-2335	58	8	-	-	PUNCT
ejpam-2335	58	9	valued	value	VERB
ejpam-2335	58	10	function	function	NOUN
ejpam-2335	58	11	whose	whose	DET
ejpam-2335	58	12	value	value	NOUN
ejpam-2335	58	13	depends	depend	VERB
ejpam-2335	58	14	only	only	ADV
ejpam-2335	58	15	on	on	ADP
ejpam-2335	58	16	the	the	DET
ejpam-2335	58	17	distance	distance	NOUN
ejpam-2335	58	18	from	from	ADP
ejpam-2335	58	19	the	the	DET
ejpam-2335	58	20	origin	origin	NOUN
ejpam-2335	58	21	,	,	PUNCT
ejpam-2335	58	22	so	so	SCONJ
ejpam-2335	58	23	that	that	SCONJ
ejpam-2335	58	24	φ(x	φ(x	NOUN
ejpam-2335	58	25	)	)	PUNCT
ejpam-2335	58	26	=	=	SYM
ejpam-2335	59	1	φ(‖x‖	φ(‖x‖	PROPN
ejpam-2335	59	2	)	)	PUNCT
ejpam-2335	59	3	;	;	PUNCT
ejpam-2335	59	4	or	or	CCONJ
ejpam-2335	59	5	alternatively	alternatively	ADV
ejpam-2335	59	6	on	on	ADP
ejpam-2335	59	7	the	the	DET
ejpam-2335	59	8	distance	distance	NOUN
ejpam-2335	59	9	from	from	ADP
ejpam-2335	59	10	some	some	DET
ejpam-2335	59	11	other	other	ADJ
ejpam-2335	59	12	point	point	NOUN
ejpam-2335	59	13	xi	xi	INTJ
ejpam-2335	59	14	,	,	PUNCT
ejpam-2335	59	15	called	call	VERB
ejpam-2335	59	16	a	a	DET
ejpam-2335	59	17	center	center	NOUN
ejpam-2335	59	18	,	,	PUNCT
ejpam-2335	59	19	so	so	SCONJ
ejpam-2335	59	20	that	that	SCONJ
ejpam-2335	59	21	φi(x	φi(x	NUM
ejpam-2335	59	22	)	)	PUNCT
ejpam-2335	59	23	=	=	SYM
ejpam-2335	60	1	φ(x	φ(x	NOUN
ejpam-2335	60	2	,	,	PUNCT
ejpam-2335	60	3	xi	xi	X
ejpam-2335	60	4	)	)	PUNCT
ejpam-2335	60	5	=	=	SYM
ejpam-2335	60	6	φ(‖x−	φ(‖x−	PROPN
ejpam-2335	60	7	xi‖	xi‖	PROPN
ejpam-2335	60	8	)	)	PUNCT
ejpam-2335	60	9	.	.	PUNCT
ejpam-2335	61	1	any	any	DET
ejpam-2335	61	2	function	function	NOUN
ejpam-2335	61	3	φ	φ	PROPN
ejpam-2335	61	4	that	that	PRON
ejpam-2335	61	5	satisfies	satisfy	VERB
ejpam-2335	61	6	the	the	DET
ejpam-2335	61	7	property	property	NOUN
ejpam-2335	61	8	φ(x	φ(x	NOUN
ejpam-2335	61	9	)	)	PUNCT
ejpam-2335	61	10	=	=	SYM
ejpam-2335	62	1	φ(‖x‖	φ(‖x‖	X
ejpam-2335	62	2	)	)	PUNCT
ejpam-2335	62	3	is	be	AUX
ejpam-2335	62	4	a	a	DET
ejpam-2335	62	5	radial	radial	ADJ
ejpam-2335	62	6	function	function	NOUN
ejpam-2335	62	7	.	.	PUNCT
ejpam-2335	63	1	the	the	DET
ejpam-2335	63	2	norm	norm	NOUN
ejpam-2335	63	3	is	be	AUX
ejpam-2335	63	4	usually	usually	ADV
ejpam-2335	63	5	euclidean	euclidean	ADJ
ejpam-2335	63	6	distance	distance	NOUN
ejpam-2335	63	7	,	,	PUNCT
ejpam-2335	63	8	although	although	SCONJ
ejpam-2335	63	9	other	other	ADJ
ejpam-2335	63	10	distance	distance	NOUN
ejpam-2335	63	11	functions	function	NOUN
ejpam-2335	63	12	are	be	AUX
ejpam-2335	63	13	also	also	ADV
ejpam-2335	63	14	possible	possible	ADJ
ejpam-2335	63	15	[	[	X
ejpam-2335	63	16	8	8	NUM
ejpam-2335	63	17	]	]	PUNCT
ejpam-2335	63	18	.	.	PUNCT
ejpam-2335	64	1	commonly	commonly	ADV
ejpam-2335	64	2	used	use	VERB
ejpam-2335	64	3	types	type	NOUN
ejpam-2335	64	4	of	of	ADP
ejpam-2335	64	5	radial	radial	ADJ
ejpam-2335	64	6	basis	basis	NOUN
ejpam-2335	64	7	functions	function	NOUN
ejpam-2335	64	8	include	include	VERB
ejpam-2335	64	9	(	(	PUNCT
ejpam-2335	64	10	writing	write	VERB
ejpam-2335	64	11	r	r	NOUN
ejpam-2335	64	12	=	=	SYM
ejpam-2335	64	13	‖x−	‖x−	PROPN
ejpam-2335	64	14	xi‖	xi‖	PROPN
ejpam-2335	64	15	):	):	PUNCT
ejpam-2335	64	16	•	•	X
ejpam-2335	64	17	gaussian	gaussian	NOUN
ejpam-2335	64	18	(	(	PUNCT
ejpam-2335	64	19	ga	ga	NOUN
ejpam-2335	64	20	):	):	PUNCT
ejpam-2335	64	21	φ(r	φ(r	ADJ
ejpam-2335	64	22	)	)	PUNCT
ejpam-2335	64	23	=	=	SYM
ejpam-2335	65	1	e−(ǫr)2	e−(ǫr)2	NOUN
ejpam-2335	65	2	•	•	ADV
ejpam-2335	65	3	multiquadric	multiquadric	ADJ
ejpam-2335	65	4	(	(	PUNCT
ejpam-2335	65	5	mq	mq	NOUN
ejpam-2335	65	6	):	):	PUNCT
ejpam-2335	65	7	φ(r	φ(r	ADJ
ejpam-2335	65	8	)	)	PUNCT
ejpam-2335	65	9	=	=	SYM
ejpam-2335	66	1	p	p	X
ejpam-2335	66	2	ǫ2	ǫ2	NOUN
ejpam-2335	66	3	+	+	CCONJ
ejpam-2335	66	4	r2	r2	PROPN
ejpam-2335	66	5	•	•	CCONJ
ejpam-2335	66	6	inverse	inverse	NOUN
ejpam-2335	66	7	quadratic	quadratic	NOUN
ejpam-2335	66	8	(	(	PUNCT
ejpam-2335	66	9	iq	iq	NOUN
ejpam-2335	66	10	):	):	PUNCT
ejpam-2335	66	11	φ(r	φ(r	ADJ
ejpam-2335	66	12	)	)	PUNCT
ejpam-2335	66	13	=	=	SYM
ejpam-2335	66	14	1	1	NUM
ejpam-2335	66	15	ǫ2+r2	ǫ2+r2	NUM
ejpam-2335	66	16	•	•	NOUN
ejpam-2335	66	17	inverse	inverse	NOUN
ejpam-2335	66	18	multiquadric	multiquadric	NOUN
ejpam-2335	66	19	(	(	PUNCT
ejpam-2335	66	20	imq	imq	NOUN
ejpam-2335	66	21	):	):	PUNCT
ejpam-2335	66	22	φ(r	φ(r	ADJ
ejpam-2335	66	23	)	)	PUNCT
ejpam-2335	66	24	=	=	SYM
ejpam-2335	66	25	1p	1p	NUM
ejpam-2335	66	26	ǫ2+r2	ǫ2+r2	NUM
ejpam-2335	66	27	•	•	NOUN
ejpam-2335	66	28	thin	thin	ADJ
ejpam-2335	66	29	plate	plate	NOUN
ejpam-2335	66	30	spline	spline	NOUN
ejpam-2335	66	31	(	(	PUNCT
ejpam-2335	66	32	tps	tps	NOUN
ejpam-2335	66	33	):	):	PUNCT
ejpam-2335	66	34	φ(r	φ(r	ADJ
ejpam-2335	66	35	)	)	PUNCT
ejpam-2335	66	36	=	=	SYM
ejpam-2335	66	37	r2	r2	PROPN
ejpam-2335	66	38	ln(r	ln(r	NOUN
ejpam-2335	66	39	)	)	PUNCT
ejpam-2335	66	40	where	where	SCONJ
ejpam-2335	66	41	ǫ	ǫ	PRON
ejpam-2335	66	42	is	be	AUX
ejpam-2335	66	43	a	a	DET
ejpam-2335	66	44	free	free	ADJ
ejpam-2335	66	45	positive	positive	ADJ
ejpam-2335	66	46	parameter	parameter	NOUN
ejpam-2335	66	47	,	,	PUNCT
ejpam-2335	66	48	often	often	ADV
ejpam-2335	66	49	referred	refer	VERB
ejpam-2335	66	50	to	to	ADP
ejpam-2335	66	51	as	as	ADP
ejpam-2335	66	52	the	the	DET
ejpam-2335	66	53	shape	shape	NOUN
ejpam-2335	66	54	parameter	parameter	NOUN
ejpam-2335	66	55	,	,	PUNCT
ejpam-2335	66	56	to	to	PART
ejpam-2335	66	57	be	be	AUX
ejpam-2335	66	58	specified	specify	VERB
ejpam-2335	66	59	by	by	ADP
ejpam-2335	66	60	the	the	DET
ejpam-2335	66	61	user	user	NOUN
ejpam-2335	66	62	.	.	PUNCT
ejpam-2335	67	1	despite	despite	SCONJ
ejpam-2335	67	2	many	many	ADJ
ejpam-2335	67	3	research	research	NOUN
ejpam-2335	67	4	works	work	NOUN
ejpam-2335	67	5	which	which	PRON
ejpam-2335	67	6	are	be	AUX
ejpam-2335	67	7	done	do	VERB
ejpam-2335	67	8	to	to	ADP
ejpam-2335	67	9	finding	find	VERB
ejpam-2335	67	10	algorithms	algorithm	NOUN
ejpam-2335	67	11	for	for	ADP
ejpam-2335	67	12	selecting	select	VERB
ejpam-2335	67	13	the	the	DET
ejpam-2335	67	14	optimum	optimum	ADJ
ejpam-2335	67	15	values	value	NOUN
ejpam-2335	67	16	of	of	ADP
ejpam-2335	67	17	ǫ	ǫ	PRON
ejpam-2335	67	18	[	[	X
ejpam-2335	67	19	3	3	NUM
ejpam-2335	67	20	,	,	PUNCT
ejpam-2335	67	21	6	6	NUM
ejpam-2335	67	22	,	,	PUNCT
ejpam-2335	67	23	24	24	NUM
ejpam-2335	67	24	]	]	PUNCT
ejpam-2335	67	25	,	,	PUNCT
ejpam-2335	67	26	the	the	DET
ejpam-2335	67	27	optimal	optimal	ADJ
ejpam-2335	67	28	choice	choice	NOUN
ejpam-2335	67	29	of	of	ADP
ejpam-2335	67	30	shape	shape	NOUN
ejpam-2335	67	31	parameter	parameter	NOUN
ejpam-2335	67	32	is	be	AUX
ejpam-2335	67	33	an	an	DET
ejpam-2335	67	34	open	open	ADJ
ejpam-2335	67	35	problem	problem	NOUN
ejpam-2335	67	36	which	which	PRON
ejpam-2335	67	37	is	be	AUX
ejpam-2335	67	38	still	still	ADV
ejpam-2335	67	39	under	under	ADP
ejpam-2335	67	40	intensive	intensive	ADJ
ejpam-2335	67	41	investigation	investigation	NOUN
ejpam-2335	67	42	.	.	PUNCT
ejpam-2335	68	1	2.1	2.1	NUM
ejpam-2335	68	2	.	.	PUNCT
ejpam-2335	69	1	function	function	NOUN
ejpam-2335	69	2	interpolation	interpolation	NOUN
ejpam-2335	69	3	let	let	VERB
ejpam-2335	69	4	x1	x1	NUM
ejpam-2335	69	5	,	,	PUNCT
ejpam-2335	69	6	x2	x2	PROPN
ejpam-2335	69	7	,	,	PUNCT
ejpam-2335	69	8	·	·	PUNCT
ejpam-2335	69	9	·	·	PUNCT
ejpam-2335	69	10	·	·	PUNCT
ejpam-2335	69	11	,	,	PUNCT
ejpam-2335	69	12	xn	xn	PROPN
ejpam-2335	69	13	∈	∈	PROPN
ejpam-2335	69	14	ω	ω	X
ejpam-2335	69	15	⊂	⊂	PROPN
ejpam-2335	69	16	r	r	PRON
ejpam-2335	69	17	be	be	AUX
ejpam-2335	69	18	a	a	DET
ejpam-2335	69	19	given	give	VERB
ejpam-2335	69	20	set	set	NOUN
ejpam-2335	69	21	of	of	ADP
ejpam-2335	69	22	scattered	scatter	VERB
ejpam-2335	69	23	data	datum	NOUN
ejpam-2335	69	24	and	and	CCONJ
ejpam-2335	69	25	φi(x	φi(x	NUM
ejpam-2335	69	26	)	)	PUNCT
ejpam-2335	69	27	=	=	SYM
ejpam-2335	70	1	φ(‖x	φ(‖x	PROPN
ejpam-2335	70	2	−	−	NOUN
ejpam-2335	70	3	x	x	SYM
ejpam-2335	70	4	i‖	i‖	PROPN
ejpam-2335	70	5	)	)	PUNCT
ejpam-2335	70	6	,	,	PUNCT
ejpam-2335	70	7	i	i	PRON
ejpam-2335	70	8	=	=	NOUN
ejpam-2335	71	1	1	1	NUM
ejpam-2335	71	2	,	,	PUNCT
ejpam-2335	71	3	.	.	PUNCT
ejpam-2335	71	4	.	.	PUNCT
ejpam-2335	72	1	.	.	PUNCT
ejpam-2335	73	1	,	,	PUNCT
ejpam-2335	73	2	n	n	PRON
ejpam-2335	73	3	be	be	AUX
ejpam-2335	73	4	a	a	DET
ejpam-2335	73	5	set	set	NOUN
ejpam-2335	73	6	of	of	ADP
ejpam-2335	73	7	rbfs	rbfs	NOUN
ejpam-2335	73	8	.	.	PUNCT
ejpam-2335	74	1	the	the	DET
ejpam-2335	74	2	function	function	NOUN
ejpam-2335	74	3	s(x	s(x	PROPN
ejpam-2335	74	4	)	)	PUNCT
ejpam-2335	74	5	,	,	PUNCT
ejpam-2335	74	6	s	s	VERB
ejpam-2335	74	7	:	:	PUNCT
ejpam-2335	74	8	r→	r→	PROPN
ejpam-2335	74	9	r	r	PROPN
ejpam-2335	74	10	,	,	PUNCT
ejpam-2335	74	11	to	to	PART
ejpam-2335	74	12	be	be	AUX
ejpam-2335	74	13	interpolated	interpolate	VERB
ejpam-2335	74	14	can	can	AUX
ejpam-2335	74	15	be	be	AUX
ejpam-2335	74	16	repref	repref	ADJ
ejpam-2335	74	17	.	.	PUNCT
ejpam-2335	75	1	parzlivand	parzlivand	PROPN
ejpam-2335	75	2	,	,	PUNCT
ejpam-2335	75	3	a.	a.	NOUN
ejpam-2335	75	4	shahrezaee	shahrezaee	PROPN
ejpam-2335	75	5	/	/	SYM
ejpam-2335	75	6	eur	eur	PROPN
ejpam-2335	75	7	.	.	PUNCT
ejpam-2335	76	1	j.	j.	PROPN
ejpam-2335	76	2	pure	pure	PROPN
ejpam-2335	76	3	appl	appl	PROPN
ejpam-2335	76	4	.	.	PROPN
ejpam-2335	76	5	math	math	PROPN
ejpam-2335	76	6	,	,	PUNCT
ejpam-2335	76	7	8	8	NUM
ejpam-2335	76	8	(	(	PUNCT
ejpam-2335	76	9	2015	2015	NUM
ejpam-2335	76	10	)	)	PUNCT
ejpam-2335	76	11	,	,	PUNCT
ejpam-2335	76	12	239	239	NUM
ejpam-2335	76	13	-	-	SYM
ejpam-2335	76	14	254	254	NUM
ejpam-2335	76	15	242	242	NUM
ejpam-2335	76	16	sented	sente	VERB
ejpam-2335	76	17	by	by	ADP
ejpam-2335	76	18	rbfs	rbfs	NOUN
ejpam-2335	76	19	as	as	ADP
ejpam-2335	76	20	[	[	X
ejpam-2335	76	21	16	16	NUM
ejpam-2335	76	22	]	]	X
ejpam-2335	76	23	:	:	PUNCT
ejpam-2335	76	24	s(x)≃	s(x)≃	DET
ejpam-2335	76	25	n	n	VERB
ejpam-2335	76	26	∑	∑	PUNCT
ejpam-2335	76	27	j=1	j=1	PROPN
ejpam-2335	76	28	λ	λ	PROPN
ejpam-2335	76	29	jφ	jφ	PROPN
ejpam-2335	76	30	j(x	j(x	PROPN
ejpam-2335	76	31	)	)	PUNCT
ejpam-2335	77	1	=	=	PUNCT
ejpam-2335	77	2	λ	λ	X
ejpam-2335	77	3	tφn	tφn	INTJ
ejpam-2335	77	4	(	(	PUNCT
ejpam-2335	77	5	x	x	NOUN
ejpam-2335	77	6	)	)	PUNCT
ejpam-2335	77	7	,	,	PUNCT
ejpam-2335	77	8	(	(	PUNCT
ejpam-2335	77	9	10	10	NUM
ejpam-2335	77	10	)	)	PUNCT
ejpam-2335	77	11	where	where	SCONJ
ejpam-2335	77	12	the	the	DET
ejpam-2335	77	13	coefficient	coefficient	NOUN
ejpam-2335	77	14	vector	vector	NOUN
ejpam-2335	77	15	λ	λ	PROPN
ejpam-2335	77	16	and	and	CCONJ
ejpam-2335	77	17	rbf	rbf	PROPN
ejpam-2335	77	18	vector	vector	PROPN
ejpam-2335	77	19	φn	φn	PROPN
ejpam-2335	77	20	(	(	PUNCT
ejpam-2335	77	21	x	x	NOUN
ejpam-2335	77	22	)	)	PUNCT
ejpam-2335	77	23	are	be	AUX
ejpam-2335	77	24	given	give	VERB
ejpam-2335	77	25	by	by	ADP
ejpam-2335	77	26	:	:	PUNCT
ejpam-2335	77	27	λ	λ	PROPN
ejpam-2335	77	28	=[	=[	PROPN
ejpam-2335	77	29	λ1,λ2	λ1,λ2	PROPN
ejpam-2335	77	30	,	,	PUNCT
ejpam-2335	77	31	.	.	PUNCT
ejpam-2335	77	32	.	.	PUNCT
ejpam-2335	77	33	.	.	PUNCT
ejpam-2335	78	1	,	,	PUNCT
ejpam-2335	78	2	λn	λn	X
ejpam-2335	78	3	]	]	PUNCT
ejpam-2335	78	4	t	t	NOUN
ejpam-2335	78	5	,	,	PUNCT
ejpam-2335	78	6	(	(	PUNCT
ejpam-2335	78	7	11	11	NUM
ejpam-2335	78	8	)	)	PUNCT
ejpam-2335	78	9	φn	φn	NOUN
ejpam-2335	78	10	(	(	PUNCT
ejpam-2335	78	11	x	x	X
ejpam-2335	78	12	)	)	PUNCT
ejpam-2335	78	13	=[	=[	NOUN
ejpam-2335	78	14	φ1(x),φ2(x	φ1(x),φ2(x	NOUN
ejpam-2335	78	15	)	)	PUNCT
ejpam-2335	78	16	,	,	PUNCT
ejpam-2335	78	17	.	.	PUNCT
ejpam-2335	78	18	.	.	PUNCT
ejpam-2335	79	1	.	.	PUNCT
ejpam-2335	80	1	,	,	PUNCT
ejpam-2335	80	2	φn	φn	INTJ
ejpam-2335	80	3	(	(	PUNCT
ejpam-2335	80	4	x	x	NOUN
ejpam-2335	80	5	)	)	PUNCT
ejpam-2335	80	6	]	]	PUNCT
ejpam-2335	80	7	t	t	NOUN
ejpam-2335	80	8	,	,	PUNCT
ejpam-2335	80	9	(	(	PUNCT
ejpam-2335	80	10	12	12	NUM
ejpam-2335	80	11	)	)	PUNCT
ejpam-2335	80	12	respectively	respectively	ADV
ejpam-2335	80	13	.	.	PUNCT
ejpam-2335	81	1	2.2	2.2	NUM
ejpam-2335	81	2	.	.	PUNCT
ejpam-2335	82	1	the	the	DET
ejpam-2335	82	2	operational	operational	ADJ
ejpam-2335	82	3	matrix	matrix	NOUN
ejpam-2335	82	4	of	of	ADP
ejpam-2335	82	5	derivative	derivative	ADJ
ejpam-2335	82	6	suppose	suppose	NOUN
ejpam-2335	82	7	φi(x	φi(x	NUM
ejpam-2335	82	8	)	)	PUNCT
ejpam-2335	82	9	is	be	AUX
ejpam-2335	82	10	the	the	DET
ejpam-2335	82	11	gaussian	gaussian	ADJ
ejpam-2335	82	12	radial	radial	ADJ
ejpam-2335	82	13	basis	basis	NOUN
ejpam-2335	82	14	function	function	NOUN
ejpam-2335	82	15	,	,	PUNCT
ejpam-2335	82	16	e.i	e.i	PROPN
ejpam-2335	82	17	.	.	PROPN
ejpam-2335	82	18	φi(x	φi(x	NUM
ejpam-2335	82	19	)	)	PUNCT
ejpam-2335	82	20	=	=	VERB
ejpam-2335	82	21	e−ǫ	e−ǫ	PUNCT
ejpam-2335	82	22	2(x−x	2(x−x	PROPN
ejpam-2335	82	23	i	i	PROPN
ejpam-2335	82	24	)	)	PUNCT
ejpam-2335	82	25	2	2	NUM
ejpam-2335	82	26	and	and	CCONJ
ejpam-2335	82	27	x	x	PROPN
ejpam-2335	82	28	∈	∈	PROPN
ejpam-2335	82	29	r.	r.	NOUN
ejpam-2335	82	30	the	the	DET
ejpam-2335	82	31	differentiation	differentiation	NOUN
ejpam-2335	82	32	of	of	ADP
ejpam-2335	82	33	vectors	vector	NOUN
ejpam-2335	82	34	φn	φn	ADP
ejpam-2335	82	35	(	(	PUNCT
ejpam-2335	82	36	x	x	NOUN
ejpam-2335	82	37	)	)	PUNCT
ejpam-2335	82	38	in	in	ADP
ejpam-2335	82	39	(	(	PUNCT
ejpam-2335	82	40	12	12	NUM
ejpam-2335	82	41	)	)	PUNCT
ejpam-2335	82	42	can	can	AUX
ejpam-2335	82	43	be	be	AUX
ejpam-2335	82	44	expressed	express	VERB
ejpam-2335	82	45	as	as	ADP
ejpam-2335	82	46	[	[	X
ejpam-2335	82	47	16	16	NUM
ejpam-2335	82	48	]	]	X
ejpam-2335	82	49	:	:	PUNCT
ejpam-2335	82	50	φ′n	φ′n	PROPN
ejpam-2335	82	51	(	(	PUNCT
ejpam-2335	82	52	x	x	X
ejpam-2335	82	53	)	)	PUNCT
ejpam-2335	82	54	=	=	SYM
ejpam-2335	82	55	dn	dn	NOUN
ejpam-2335	82	56	(	(	PUNCT
ejpam-2335	82	57	x)φn	x)φn	PROPN
ejpam-2335	82	58	(	(	PUNCT
ejpam-2335	82	59	x	x	NOUN
ejpam-2335	82	60	)	)	PUNCT
ejpam-2335	82	61	,	,	PUNCT
ejpam-2335	82	62	(	(	PUNCT
ejpam-2335	82	63	13	13	NUM
ejpam-2335	82	64	)	)	PUNCT
ejpam-2335	82	65	where	where	SCONJ
ejpam-2335	82	66	dn	dn	PROPN
ejpam-2335	82	67	(	(	PUNCT
ejpam-2335	82	68	x	x	X
ejpam-2335	82	69	)	)	PUNCT
ejpam-2335	82	70	is	be	AUX
ejpam-2335	82	71	n	n	PRON
ejpam-2335	82	72	×	×	NOUN
ejpam-2335	82	73	n	n	CCONJ
ejpam-2335	82	74	operational	operational	ADJ
ejpam-2335	82	75	matrix	matrix	NOUN
ejpam-2335	82	76	of	of	ADP
ejpam-2335	82	77	derivative	derivative	NOUN
ejpam-2335	82	78	for	for	ADP
ejpam-2335	82	79	radial	radial	ADJ
ejpam-2335	82	80	basis	basis	NOUN
ejpam-2335	82	81	function	function	NOUN
ejpam-2335	82	82	.	.	PUNCT
ejpam-2335	83	1	the	the	DET
ejpam-2335	83	2	matrix	matrix	NOUN
ejpam-2335	83	3	dn	dn	NOUN
ejpam-2335	83	4	(	(	PUNCT
ejpam-2335	83	5	x	x	X
ejpam-2335	83	6	)	)	PUNCT
ejpam-2335	83	7	can	can	AUX
ejpam-2335	83	8	be	be	AUX
ejpam-2335	83	9	obtained	obtain	VERB
ejpam-2335	83	10	as	as	ADP
ejpam-2335	83	11	:	:	PUNCT
ejpam-2335	83	12	φ′n	φ′n	PROPN
ejpam-2335	83	13	(	(	PUNCT
ejpam-2335	83	14	x	x	X
ejpam-2335	83	15	)	)	PUNCT
ejpam-2335	83	16	=	=	PUNCT
ejpam-2335	84	1	[	[	X
ejpam-2335	84	2	φ	φ	X
ejpam-2335	84	3	′	′	NUM
ejpam-2335	84	4	1(x),φ	1(x),φ	NUM
ejpam-2335	84	5	′	′	NUM
ejpam-2335	84	6	2(x	2(x	NUM
ejpam-2335	84	7	)	)	PUNCT
ejpam-2335	84	8	,	,	PUNCT
ejpam-2335	84	9	.	.	PUNCT
ejpam-2335	84	10	.	.	PUNCT
ejpam-2335	85	1	.	.	PUNCT
ejpam-2335	86	1	,	,	PUNCT
ejpam-2335	86	2	φ′n	φ′n	PROPN
ejpam-2335	86	3	(	(	PUNCT
ejpam-2335	86	4	x	x	NOUN
ejpam-2335	86	5	)	)	PUNCT
ejpam-2335	86	6	]	]	PUNCT
ejpam-2335	86	7	t	t	NOUN
ejpam-2335	86	8	=	=	PUNCT
ejpam-2335	86	9			PROPN
ejpam-2335	86	10			ADJ
ejpam-2335	86	11			ADJ
ejpam-2335	86	12			ADJ
ejpam-2335	86	13			NOUN
ejpam-2335	86	14	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	86	15	−	−	PROPN
ejpam-2335	86	16	x1)φ1(x	x1)φ1(x	NOUN
ejpam-2335	86	17	)	)	PUNCT
ejpam-2335	86	18	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	86	19	−	−	PROPN
ejpam-2335	86	20	x2)φ2(x	x2)φ2(x	PROPN
ejpam-2335	86	21	)	)	PUNCT
ejpam-2335	86	22	...	...	PUNCT
ejpam-2335	87	1	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	87	2	−	−	PROPN
ejpam-2335	87	3	xn	xn	X
ejpam-2335	87	4	)	)	PUNCT
ejpam-2335	87	5	φn	φn	NOUN
ejpam-2335	87	6	(	(	PUNCT
ejpam-2335	87	7	x	x	NOUN
ejpam-2335	87	8	)	)	PUNCT
ejpam-2335	87	9			PROPN
ejpam-2335	88	1			PROPN
ejpam-2335	88	2			PROPN
ejpam-2335	88	3			PROPN
ejpam-2335	88	4			PROPN
ejpam-2335	88	5	.	.	PUNCT
ejpam-2335	89	1	(	(	PUNCT
ejpam-2335	89	2	14	14	NUM
ejpam-2335	89	3	)	)	PUNCT
ejpam-2335	89	4	comparing	compare	VERB
ejpam-2335	89	5	(	(	PUNCT
ejpam-2335	89	6	13	13	NUM
ejpam-2335	89	7	)	)	PUNCT
ejpam-2335	89	8	and	and	CCONJ
ejpam-2335	89	9	(	(	PUNCT
ejpam-2335	89	10	14	14	NUM
ejpam-2335	89	11	)	)	PUNCT
ejpam-2335	89	12	,	,	PUNCT
ejpam-2335	89	13	we	we	PRON
ejpam-2335	89	14	can	can	AUX
ejpam-2335	89	15	write	write	VERB
ejpam-2335	89	16	:	:	PUNCT
ejpam-2335	89	17	dn	dn	PROPN
ejpam-2335	89	18	(	(	PUNCT
ejpam-2335	89	19	x	x	X
ejpam-2335	89	20	)	)	PUNCT
ejpam-2335	89	21	=	=	NOUN
ejpam-2335	89	22			NOUN
ejpam-2335	89	23			ADJ
ejpam-2335	89	24			ADJ
ejpam-2335	89	25			ADJ
ejpam-2335	89	26			NOUN
ejpam-2335	89	27	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	89	28	−	−	PROPN
ejpam-2335	89	29	x1	x1	NUM
ejpam-2335	89	30	)	)	PUNCT
ejpam-2335	89	31	0	0	NUM
ejpam-2335	89	32	·	·	PUNCT
ejpam-2335	89	33	·	·	PUNCT
ejpam-2335	89	34	·	·	PUNCT
ejpam-2335	90	1	0	0	NUM
ejpam-2335	90	2	0	0	X
ejpam-2335	91	1	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	91	2	−	−	PROPN
ejpam-2335	91	3	x2	x2	PROPN
ejpam-2335	91	4	)	)	PUNCT
ejpam-2335	91	5	·	·	PUNCT
ejpam-2335	91	6	·	·	PUNCT
ejpam-2335	91	7	·	·	PUNCT
ejpam-2335	91	8	0	0	NUM
ejpam-2335	91	9	...	...	PUNCT
ejpam-2335	91	10	...	...	PUNCT
ejpam-2335	91	11	.	.	PUNCT
ejpam-2335	91	12	.	.	PUNCT
ejpam-2335	91	13	.	.	PUNCT
ejpam-2335	92	1	...	...	PUNCT
ejpam-2335	93	1	0	0	NUM
ejpam-2335	93	2	0	0	NUM
ejpam-2335	93	3	·	·	PUNCT
ejpam-2335	93	4	·	·	PUNCT
ejpam-2335	93	5	·	·	PUNCT
ejpam-2335	94	1	−2ǫ2(x	−2ǫ2(x	ADJ
ejpam-2335	94	2	−	−	PROPN
ejpam-2335	94	3	xn	xn	PUNCT
ejpam-2335	94	4	)	)	PUNCT
ejpam-2335	95	1			PROPN
ejpam-2335	95	2			PROPN
ejpam-2335	95	3			PROPN
ejpam-2335	95	4			PROPN
ejpam-2335	95	5			PROPN
ejpam-2335	95	6	(	(	PUNCT
ejpam-2335	95	7	15	15	NUM
ejpam-2335	95	8	)	)	PUNCT
ejpam-2335	95	9	also	also	ADV
ejpam-2335	95	10	:	:	PUNCT
ejpam-2335	95	11	φ′′n	φ′′n	PROPN
ejpam-2335	95	12	(	(	PUNCT
ejpam-2335	95	13	x	x	NOUN
ejpam-2335	95	14	)	)	PUNCT
ejpam-2335	95	15	=	=	NOUN
ejpam-2335	95	16			NOUN
ejpam-2335	95	17			ADJ
ejpam-2335	95	18			ADJ
ejpam-2335	95	19			ADJ
ejpam-2335	95	20			NOUN
ejpam-2335	95	21	−2ǫ2	−2ǫ2	NUM
ejpam-2335	95	22	+	+	CCONJ
ejpam-2335	95	23	4ǫ4(x	4ǫ4(x	NUM
ejpam-2335	95	24	−	−	NOUN
ejpam-2335	95	25	x1	x1	PROPN
ejpam-2335	95	26	)	)	PUNCT
ejpam-2335	95	27	2	2	NUM
ejpam-2335	95	28	0	0	NUM
ejpam-2335	95	29	·	·	PUNCT
ejpam-2335	95	30	·	·	PUNCT
ejpam-2335	95	31	·	·	PUNCT
ejpam-2335	95	32	0	0	NUM
ejpam-2335	95	33	0	0	NUM
ejpam-2335	95	34	−2ǫ2	−2ǫ2	NUM
ejpam-2335	95	35	+	+	CCONJ
ejpam-2335	95	36	4ǫ4(x	4ǫ4(x	NUM
ejpam-2335	95	37	−	−	NOUN
ejpam-2335	95	38	x2	x2	PROPN
ejpam-2335	95	39	)	)	PUNCT
ejpam-2335	95	40	2	2	NUM
ejpam-2335	95	41	·	·	PUNCT
ejpam-2335	95	42	·	·	PUNCT
ejpam-2335	95	43	·	·	PUNCT
ejpam-2335	95	44	0	0	NUM
ejpam-2335	95	45	...	...	PUNCT
ejpam-2335	95	46	...	...	PUNCT
ejpam-2335	95	47	.	.	PUNCT
ejpam-2335	95	48	.	.	PUNCT
ejpam-2335	95	49	.	.	PUNCT
ejpam-2335	96	1	...	...	PUNCT
ejpam-2335	97	1	0	0	NUM
ejpam-2335	97	2	0	0	NUM
ejpam-2335	97	3	·	·	PUNCT
ejpam-2335	97	4	·	·	PUNCT
ejpam-2335	97	5	·	·	PUNCT
ejpam-2335	97	6	−2ǫ2	−2ǫ2	NUM
ejpam-2335	98	1	+	+	CCONJ
ejpam-2335	99	1	4ǫ4(x	4ǫ4(x	NUM
ejpam-2335	99	2	−	−	NOUN
ejpam-2335	99	3	xn	xn	PUNCT
ejpam-2335	99	4	)	)	PUNCT
ejpam-2335	100	1	2	2	NUM
ejpam-2335	100	2			PROPN
ejpam-2335	100	3			PROPN
ejpam-2335	100	4			PROPN
ejpam-2335	100	5			PROPN
ejpam-2335	100	6			PROPN
ejpam-2335	100	7	φn	φn	NOUN
ejpam-2335	100	8	(	(	PUNCT
ejpam-2335	100	9	x	x	NOUN
ejpam-2335	100	10	)	)	PUNCT
ejpam-2335	100	11	.	.	PUNCT
ejpam-2335	101	1	so	so	ADV
ejpam-2335	101	2	we	we	PRON
ejpam-2335	101	3	have	have	VERB
ejpam-2335	101	4	:	:	PUNCT
ejpam-2335	101	5	φ′′n	φ′′n	PROPN
ejpam-2335	101	6	(	(	PUNCT
ejpam-2335	101	7	x	x	NOUN
ejpam-2335	101	8	)	)	PUNCT
ejpam-2335	101	9	=	=	SYM
ejpam-2335	101	10	(	(	PUNCT
ejpam-2335	101	11	pn	pn	NOUN
ejpam-2335	101	12	+	+	CCONJ
ejpam-2335	101	13	d2	d2	PROPN
ejpam-2335	101	14	n	n	CCONJ
ejpam-2335	101	15	(	(	PUNCT
ejpam-2335	102	1	x)φn	x)φn	PROPN
ejpam-2335	102	2	(	(	PUNCT
ejpam-2335	102	3	x	x	NOUN
ejpam-2335	102	4	)	)	PUNCT
ejpam-2335	102	5	,	,	PUNCT
ejpam-2335	102	6	(	(	PUNCT
ejpam-2335	102	7	16	16	NUM
ejpam-2335	102	8	)	)	PUNCT
ejpam-2335	102	9	where	where	SCONJ
ejpam-2335	102	10	:	:	PUNCT
ejpam-2335	102	11	pn	pn	PROPN
ejpam-2335	102	12	=	=	PUNCT
ejpam-2335	102	13			PROPN
ejpam-2335	102	14			ADJ
ejpam-2335	102	15			ADJ
ejpam-2335	102	16			ADJ
ejpam-2335	102	17			NUM
ejpam-2335	102	18	−2ǫ2	−2ǫ2	NUM
ejpam-2335	102	19	0	0	NUM
ejpam-2335	102	20	·	·	PUNCT
ejpam-2335	102	21	·	·	PUNCT
ejpam-2335	102	22	·	·	PUNCT
ejpam-2335	102	23	0	0	NUM
ejpam-2335	102	24	0	0	NUM
ejpam-2335	102	25	−2ǫ2	−2ǫ2	NUM
ejpam-2335	102	26	·	·	PUNCT
ejpam-2335	102	27	·	·	PUNCT
ejpam-2335	102	28	·	·	PUNCT
ejpam-2335	102	29	0	0	NUM
ejpam-2335	102	30	...	...	PUNCT
ejpam-2335	102	31	...	...	PUNCT
ejpam-2335	102	32	.	.	PUNCT
ejpam-2335	102	33	.	.	PUNCT
ejpam-2335	102	34	.	.	PUNCT
ejpam-2335	103	1	...	...	PUNCT
ejpam-2335	104	1	0	0	NUM
ejpam-2335	104	2	0	0	NUM
ejpam-2335	104	3	·	·	PUNCT
ejpam-2335	104	4	·	·	PUNCT
ejpam-2335	104	5	·	·	PUNCT
ejpam-2335	105	1	−2ǫ2	−2ǫ2	NUM
ejpam-2335	105	2			PROPN
ejpam-2335	105	3			PROPN
ejpam-2335	105	4			PROPN
ejpam-2335	105	5			PROPN
ejpam-2335	105	6			PROPN
ejpam-2335	105	7	.	.	PUNCT
ejpam-2335	106	1	(	(	PUNCT
ejpam-2335	106	2	17	17	NUM
ejpam-2335	106	3	)	)	PUNCT
ejpam-2335	106	4	f.	f.	PROPN
ejpam-2335	106	5	parzlivand	parzlivand	PROPN
ejpam-2335	106	6	,	,	PUNCT
ejpam-2335	106	7	a.	a.	NOUN
ejpam-2335	106	8	shahrezaee	shahrezaee	PROPN
ejpam-2335	106	9	/	/	SYM
ejpam-2335	106	10	eur	eur	PROPN
ejpam-2335	106	11	.	.	PUNCT
ejpam-2335	107	1	j.	j.	PROPN
ejpam-2335	107	2	pure	pure	PROPN
ejpam-2335	107	3	appl	appl	PROPN
ejpam-2335	107	4	.	.	PROPN
ejpam-2335	107	5	math	math	PROPN
ejpam-2335	107	6	,	,	PUNCT
ejpam-2335	107	7	8	8	NUM
ejpam-2335	107	8	(	(	PUNCT
ejpam-2335	107	9	2015	2015	NUM
ejpam-2335	107	10	)	)	PUNCT
ejpam-2335	107	11	,	,	PUNCT
ejpam-2335	107	12	239	239	NUM
ejpam-2335	107	13	-	-	SYM
ejpam-2335	107	14	254	254	NUM
ejpam-2335	107	15	243	243	NUM
ejpam-2335	107	16	2.3	2.3	NUM
ejpam-2335	107	17	.	.	PUNCT
ejpam-2335	108	1	error	error	NOUN
ejpam-2335	108	2	bound	bind	VERB
ejpam-2335	108	3	suppose	suppose	VERB
ejpam-2335	108	4	that	that	SCONJ
ejpam-2335	108	5	h	h	NOUN
ejpam-2335	108	6	=	=	SYM
ejpam-2335	108	7	l2([0,1	l2([0,1	PROPN
ejpam-2335	108	8	]	]	X
ejpam-2335	108	9	×	×	NOUN
ejpam-2335	109	1	[	[	X
ejpam-2335	109	2	−α	−α	NOUN
ejpam-2335	109	3	,	,	PUNCT
ejpam-2335	109	4	β	β	NOUN
ejpam-2335	109	5	]	]	X
ejpam-2335	109	6	)	)	PUNCT
ejpam-2335	109	7	and	and	CCONJ
ejpam-2335	109	8	{	{	PUNCT
ejpam-2335	109	9	φ1(x	φ1(x	NOUN
ejpam-2335	109	10	,	,	PUNCT
ejpam-2335	109	11	t),φ2(x	t),φ2(x	PROPN
ejpam-2335	109	12	,	,	PUNCT
ejpam-2335	109	13	t	t	PROPN
ejpam-2335	109	14	)	)	PUNCT
ejpam-2335	109	15	,	,	PUNCT
ejpam-2335	109	16	.	.	PUNCT
ejpam-2335	109	17	.	.	PUNCT
ejpam-2335	109	18	.	.	PUNCT
ejpam-2335	110	1	,	,	PUNCT
ejpam-2335	110	2	φn	φn	INTJ
ejpam-2335	110	3	(	(	PUNCT
ejpam-2335	110	4	x	x	PROPN
ejpam-2335	110	5	,	,	PUNCT
ejpam-2335	110	6	t	t	PROPN
ejpam-2335	110	7	)	)	PUNCT
ejpam-2335	110	8	}	}	PUNCT
ejpam-2335	111	1	⊂	⊂	PROPN
ejpam-2335	111	2	h	h	PROPN
ejpam-2335	111	3	be	be	AUX
ejpam-2335	111	4	the	the	DET
ejpam-2335	111	5	set	set	NOUN
ejpam-2335	111	6	of	of	ADP
ejpam-2335	111	7	gaussian	gaussian	ADJ
ejpam-2335	111	8	radial	radial	ADJ
ejpam-2335	111	9	basis	basis	NOUN
ejpam-2335	111	10	functions	function	NOUN
ejpam-2335	111	11	and	and	CCONJ
ejpam-2335	111	12	y	y	NOUN
ejpam-2335	111	13	=	=	SYM
ejpam-2335	111	14	span{φ1(x	span{φ1(x	PROPN
ejpam-2335	111	15	,	,	PUNCT
ejpam-2335	111	16	t),φ2(x	t),φ2(x	PROPN
ejpam-2335	111	17	,	,	PUNCT
ejpam-2335	111	18	t	t	PROPN
ejpam-2335	111	19	)	)	PUNCT
ejpam-2335	111	20	,	,	PUNCT
ejpam-2335	111	21	.	.	PUNCT
ejpam-2335	111	22	.	.	PUNCT
ejpam-2335	112	1	.	.	PUNCT
ejpam-2335	113	1	,	,	PUNCT
ejpam-2335	113	2	φn	φn	INTJ
ejpam-2335	113	3	(	(	PUNCT
ejpam-2335	113	4	x	x	PROPN
ejpam-2335	113	5	,	,	PUNCT
ejpam-2335	113	6	t	t	PROPN
ejpam-2335	113	7	)	)	PUNCT
ejpam-2335	113	8	}	}	PUNCT
ejpam-2335	113	9	;	;	PUNCT
ejpam-2335	113	10	and	and	CCONJ
ejpam-2335	113	11	y	y	PROPN
ejpam-2335	113	12	be	be	VERB
ejpam-2335	113	13	an	an	DET
ejpam-2335	113	14	arbitrary	arbitrary	ADJ
ejpam-2335	113	15	element	element	NOUN
ejpam-2335	113	16	in	in	ADP
ejpam-2335	113	17	h.	h.	PROPN
ejpam-2335	113	18	since	since	SCONJ
ejpam-2335	113	19	y	y	PROPN
ejpam-2335	113	20	is	be	AUX
ejpam-2335	113	21	a	a	DET
ejpam-2335	113	22	finite	finite	ADJ
ejpam-2335	113	23	dimensional	dimensional	ADJ
ejpam-2335	113	24	vector	vector	NOUN
ejpam-2335	113	25	space	space	NOUN
ejpam-2335	113	26	,	,	PUNCT
ejpam-2335	113	27	y	y	PROPN
ejpam-2335	113	28	has	have	VERB
ejpam-2335	113	29	the	the	DET
ejpam-2335	113	30	unique	unique	ADJ
ejpam-2335	113	31	best	good	ADJ
ejpam-2335	113	32	approximation	approximation	NOUN
ejpam-2335	113	33	out	out	ADP
ejpam-2335	113	34	of	of	ADP
ejpam-2335	113	35	y	y	PRON
ejpam-2335	113	36	such	such	ADJ
ejpam-2335	113	37	as	as	ADP
ejpam-2335	113	38	y0	y0	PROPN
ejpam-2335	113	39	∈	∈	PROPN
ejpam-2335	113	40	y	y	NOUN
ejpam-2335	113	41	,	,	PUNCT
ejpam-2335	113	42	that	that	ADV
ejpam-2335	113	43	is	be	AUX
ejpam-2335	113	44	:	:	PUNCT
ejpam-2335	113	45	∀g	∀g	NOUN
ejpam-2335	113	46	∈	∈	PROPN
ejpam-2335	113	47	y,‖y	y,‖y	PROPN
ejpam-2335	113	48	−	−	PROPN
ejpam-2335	113	49	y0‖	y0‖	PROPN
ejpam-2335	113	50	≤	≤	PROPN
ejpam-2335	113	51	‖y	‖y	PUNCT
ejpam-2335	114	1	−	−	PROPN
ejpam-2335	114	2	g‖.	g‖.	NOUN
ejpam-2335	114	3	since	since	SCONJ
ejpam-2335	114	4	y0	y0	PROPN
ejpam-2335	114	5	∈	∈	PROPN
ejpam-2335	114	6	y	y	NOUN
ejpam-2335	114	7	,	,	PUNCT
ejpam-2335	114	8	there	there	PRON
ejpam-2335	114	9	exist	exist	VERB
ejpam-2335	114	10	unique	unique	ADJ
ejpam-2335	114	11	coefficients	coefficient	NOUN
ejpam-2335	114	12	γ1,γ2	γ1,γ2	PROPN
ejpam-2335	114	13	,	,	PUNCT
ejpam-2335	114	14	.	.	PUNCT
ejpam-2335	114	15	.	.	PUNCT
ejpam-2335	115	1	.	.	PUNCT
ejpam-2335	116	1	,	,	PUNCT
ejpam-2335	116	2	γn	γn	ADP
ejpam-2335	116	3	such	such	ADJ
ejpam-2335	116	4	that	that	PRON
ejpam-2335	116	5	:	:	PUNCT
ejpam-2335	116	6	y	y	PROPN
ejpam-2335	116	7	≃	≃	VERB
ejpam-2335	116	8	y0	y0	NOUN
ejpam-2335	116	9	=	=	SYM
ejpam-2335	116	10	n	n	CCONJ
ejpam-2335	116	11	∑	∑	PROPN
ejpam-2335	116	12	i=1	i=1	PROPN
ejpam-2335	116	13	γiφi(x	γiφi(x	PROPN
ejpam-2335	116	14	,	,	PUNCT
ejpam-2335	116	15	t	t	PROPN
ejpam-2335	116	16	)	)	PUNCT
ejpam-2335	116	17	.	.	PUNCT
ejpam-2335	117	1	theorem	theorem	NOUN
ejpam-2335	117	2	1	1	NUM
ejpam-2335	117	3	.	.	PUNCT
ejpam-2335	118	1	let	let	VERB
ejpam-2335	118	2	h	h	PRON
ejpam-2335	118	3	be	be	AUX
ejpam-2335	118	4	a	a	DET
ejpam-2335	118	5	hilbert	hilbert	NOUN
ejpam-2335	118	6	space	space	NOUN
ejpam-2335	118	7	and	and	CCONJ
ejpam-2335	118	8	y	y	PROPN
ejpam-2335	118	9	be	be	AUX
ejpam-2335	118	10	a	a	DET
ejpam-2335	118	11	closed	closed	ADJ
ejpam-2335	118	12	subspace	subspace	NOUN
ejpam-2335	118	13	of	of	ADP
ejpam-2335	118	14	h	h	NOUN
ejpam-2335	118	15	such	such	ADJ
ejpam-2335	118	16	that	that	DET
ejpam-2335	118	17	dimy	dimy	NOUN
ejpam-2335	118	18	<	<	X
ejpam-2335	118	19	∞	∞	NUM
ejpam-2335	118	20	and	and	CCONJ
ejpam-2335	118	21	{	{	PUNCT
ejpam-2335	118	22	y1	y1	PROPN
ejpam-2335	118	23	,	,	PUNCT
ejpam-2335	118	24	y2	y2	PROPN
ejpam-2335	118	25	,	,	PUNCT
ejpam-2335	118	26	.	.	PUNCT
ejpam-2335	118	27	.	.	PUNCT
ejpam-2335	119	1	.	.	PUNCT
ejpam-2335	120	1	,	,	PUNCT
ejpam-2335	120	2	yn	yn	PRON
ejpam-2335	120	3	}	}	PUNCT
ejpam-2335	120	4	is	be	AUX
ejpam-2335	120	5	any	any	DET
ejpam-2335	120	6	basis	basis	NOUN
ejpam-2335	120	7	for	for	ADP
ejpam-2335	120	8	y	y	PROPN
ejpam-2335	120	9	.	.	PUNCT
ejpam-2335	121	1	let	let	VERB
ejpam-2335	121	2	y	y	PRON
ejpam-2335	121	3	be	be	AUX
ejpam-2335	121	4	an	an	DET
ejpam-2335	121	5	arbitrary	arbitrary	ADJ
ejpam-2335	121	6	element	element	NOUN
ejpam-2335	121	7	in	in	ADP
ejpam-2335	121	8	h	h	NOUN
ejpam-2335	121	9	and	and	CCONJ
ejpam-2335	121	10	y0	y0	PROPN
ejpam-2335	121	11	be	be	VERB
ejpam-2335	121	12	the	the	DET
ejpam-2335	121	13	unique	unique	ADJ
ejpam-2335	121	14	best	good	ADJ
ejpam-2335	121	15	approximation	approximation	NOUN
ejpam-2335	121	16	to	to	ADP
ejpam-2335	121	17	y	y	PROPN
ejpam-2335	121	18	out	out	ADP
ejpam-2335	121	19	of	of	ADP
ejpam-2335	121	20	y	y	PROPN
ejpam-2335	121	21	.	.	PUNCT
ejpam-2335	122	1	then	then	ADV
ejpam-2335	122	2	[	[	X
ejpam-2335	122	3	15	15	NUM
ejpam-2335	122	4	]	]	PUNCT
ejpam-2335	122	5	‖y	‖y	PUNCT
ejpam-2335	123	1	−	−	X
ejpam-2335	123	2	y0‖2	y0‖2	X
ejpam-2335	123	3	=	=	SYM
ejpam-2335	123	4	g(y	g(y	PROPN
ejpam-2335	123	5	,	,	PUNCT
ejpam-2335	123	6	y1	y1	NOUN
ejpam-2335	123	7	,	,	PUNCT
ejpam-2335	123	8	.	.	PUNCT
ejpam-2335	123	9	.	.	PUNCT
ejpam-2335	123	10	.	.	PUNCT
ejpam-2335	124	1	,	,	PUNCT
ejpam-2335	124	2	yn	yn	PROPN
ejpam-2335	124	3	)	)	PUNCT
ejpam-2335	124	4	g(y1	g(y1	PROPN
ejpam-2335	124	5	,	,	PUNCT
ejpam-2335	124	6	y2	y2	NOUN
ejpam-2335	124	7	,	,	PUNCT
ejpam-2335	124	8	.	.	PUNCT
ejpam-2335	124	9	.	.	PUNCT
ejpam-2335	125	1	.	.	PUNCT
ejpam-2335	126	1	,	,	PUNCT
ejpam-2335	126	2	yn	yn	PROPN
ejpam-2335	126	3	)	)	PUNCT
ejpam-2335	126	4	≤	≤	NUM
ejpam-2335	127	1	g(y	g(y	NOUN
ejpam-2335	127	2	)	)	PUNCT
ejpam-2335	127	3	=	=	PUNCT
ejpam-2335	127	4	‖y‖2	‖y‖2	PROPN
ejpam-2335	127	5	,	,	PUNCT
ejpam-2335	127	6	where	where	SCONJ
ejpam-2335	127	7	g(y1	g(y1	NOUN
ejpam-2335	127	8	,	,	PUNCT
ejpam-2335	127	9	y2	y2	NOUN
ejpam-2335	127	10	,	,	PUNCT
ejpam-2335	127	11	·	·	PUNCT
ejpam-2335	127	12	·	·	PUNCT
ejpam-2335	127	13	·	·	PUNCT
ejpam-2335	127	14	,	,	PUNCT
ejpam-2335	127	15	yn	yn	X
ejpam-2335	127	16	)	)	PUNCT
ejpam-2335	127	17	=	=	SYM
ejpam-2335	127	18	�	�	PROPN
ejpam-2335	127	19	�	�	PROPN
ejpam-2335	127	20	�	�	PROPN
ejpam-2335	127	21	�	�	PROPN
ejpam-2335	127	22	�	�	PROPN
ejpam-2335	127	23	�	�	PROPN
ejpam-2335	127	24	�	�	PROPN
ejpam-2335	127	25	�	�	PROPN
ejpam-2335	127	26	�	�	PROPN
ejpam-2335	127	27	<	<	X
ejpam-2335	127	28	y1	y1	PROPN
ejpam-2335	127	29	,	,	PUNCT
ejpam-2335	127	30	y1	y1	INTJ
ejpam-2335	127	31	>	>	X
ejpam-2335	127	32	<	<	X
ejpam-2335	127	33	y1	y1	PROPN
ejpam-2335	127	34	,	,	PUNCT
ejpam-2335	127	35	y2	y2	PROPN
ejpam-2335	127	36	>	>	X
ejpam-2335	127	37	·	·	PUNCT
ejpam-2335	127	38	·	·	PUNCT
ejpam-2335	127	39	·	·	PUNCT
ejpam-2335	127	40	<	<	X
ejpam-2335	127	41	y1	y1	PROPN
ejpam-2335	127	42	,	,	PUNCT
ejpam-2335	127	43	yn	yn	X
ejpam-2335	127	44	>	>	X
ejpam-2335	127	45	<	<	X
ejpam-2335	127	46	y2	y2	PROPN
ejpam-2335	127	47	,	,	PUNCT
ejpam-2335	127	48	y1	y1	INTJ
ejpam-2335	127	49	>	>	X
ejpam-2335	127	50	<	<	X
ejpam-2335	127	51	y2	y2	PROPN
ejpam-2335	127	52	,	,	PUNCT
ejpam-2335	127	53	y2	y2	PROPN
ejpam-2335	127	54	>	>	X
ejpam-2335	127	55	·	·	PUNCT
ejpam-2335	127	56	·	·	PUNCT
ejpam-2335	127	57	·	·	PUNCT
ejpam-2335	127	58	<	<	X
ejpam-2335	127	59	y2	y2	PROPN
ejpam-2335	127	60	,	,	PUNCT
ejpam-2335	127	61	yn	yn	PROPN
ejpam-2335	127	62	>	>	X
ejpam-2335	127	63	...	...	PUNCT
ejpam-2335	127	64	...	...	PUNCT
ejpam-2335	127	65	.	.	PUNCT
ejpam-2335	127	66	.	.	PUNCT
ejpam-2335	127	67	.	.	PUNCT
ejpam-2335	128	1	...	...	PUNCT
ejpam-2335	129	1	<	<	X
ejpam-2335	129	2	yn	yn	X
ejpam-2335	129	3	,	,	PUNCT
ejpam-2335	129	4	y1	y1	INTJ
ejpam-2335	129	5	>	>	X
ejpam-2335	129	6	<	<	X
ejpam-2335	129	7	yn	yn	PROPN
ejpam-2335	129	8	,	,	PUNCT
ejpam-2335	129	9	y2	y2	PROPN
ejpam-2335	129	10	>	>	X
ejpam-2335	129	11	·	·	PUNCT
ejpam-2335	129	12	·	·	PUNCT
ejpam-2335	129	13	·	·	PUNCT
ejpam-2335	130	1	<	<	X
ejpam-2335	130	2	yn	yn	X
ejpam-2335	130	3	,	,	PUNCT
ejpam-2335	130	4	yn	yn	PROPN
ejpam-2335	130	5	>	>	X
ejpam-2335	130	6	�	�	PROPN
ejpam-2335	130	7	�	�	PROPN
ejpam-2335	130	8	�	�	PROPN
ejpam-2335	130	9	�	�	PROPN
ejpam-2335	130	10	�	�	PROPN
ejpam-2335	130	11	�	�	PROPN
ejpam-2335	130	12	�	�	PROPN
ejpam-2335	130	13	�	�	PROPN
ejpam-2335	130	14	�	�	PROPN
ejpam-2335	130	15	.	.	PUNCT
ejpam-2335	131	1	the	the	DET
ejpam-2335	131	2	determinant	determinant	ADJ
ejpam-2335	131	3	g(y1	g(y1	NOUN
ejpam-2335	131	4	,	,	PUNCT
ejpam-2335	131	5	y2	y2	NOUN
ejpam-2335	131	6	,	,	PUNCT
ejpam-2335	131	7	·	·	PUNCT
ejpam-2335	131	8	·	·	PUNCT
ejpam-2335	131	9	·	·	PUNCT
ejpam-2335	131	10	,	,	PUNCT
ejpam-2335	131	11	yn	yn	PROPN
ejpam-2335	131	12	)	)	PUNCT
ejpam-2335	131	13	is	be	AUX
ejpam-2335	131	14	called	call	VERB
ejpam-2335	131	15	the	the	DET
ejpam-2335	131	16	gram	gram	NOUN
ejpam-2335	131	17	determinant	determinant	ADJ
ejpam-2335	131	18	of	of	ADP
ejpam-2335	131	19	y1	y1	NOUN
ejpam-2335	131	20	,	,	PUNCT
ejpam-2335	131	21	y2	y2	INTJ
ejpam-2335	131	22	,	,	PUNCT
ejpam-2335	131	23	.	.	PUNCT
ejpam-2335	131	24	.	.	PUNCT
ejpam-2335	132	1	.	.	PUNCT
ejpam-2335	133	1	,	,	PUNCT
ejpam-2335	133	2	yn	yn	INTJ
ejpam-2335	133	3	.	.	PUNCT
ejpam-2335	134	1	3	3	X
ejpam-2335	134	2	.	.	X
ejpam-2335	134	3	the	the	DET
ejpam-2335	134	4	employed	employ	VERB
ejpam-2335	134	5	transformation	transformation	NOUN
ejpam-2335	134	6	for	for	ADP
ejpam-2335	134	7	solving	solve	VERB
ejpam-2335	134	8	the	the	DET
ejpam-2335	134	9	inverse	inverse	NOUN
ejpam-2335	134	10	problem	problem	NOUN
ejpam-2335	134	11	(	(	PUNCT
ejpam-2335	134	12	2)-(9	2)-(9	NOUN
ejpam-2335	134	13	)	)	PUNCT
ejpam-2335	134	14	,	,	PUNCT
ejpam-2335	134	15	at	at	ADP
ejpam-2335	134	16	first	first	ADV
ejpam-2335	134	17	we	we	PRON
ejpam-2335	134	18	transform	transform	VERB
ejpam-2335	134	19	it	it	PRON
ejpam-2335	134	20	into	into	ADP
ejpam-2335	134	21	a	a	DET
ejpam-2335	134	22	direct	direct	ADJ
ejpam-2335	134	23	problem	problem	NOUN
ejpam-2335	134	24	then	then	ADV
ejpam-2335	134	25	use	use	VERB
ejpam-2335	134	26	the	the	DET
ejpam-2335	134	27	proposed	propose	VERB
ejpam-2335	134	28	method	method	NOUN
ejpam-2335	134	29	.	.	PUNCT
ejpam-2335	135	1	let	let	VERB
ejpam-2335	135	2	us	we	PRON
ejpam-2335	135	3	once	once	ADV
ejpam-2335	135	4	differentiate	differentiate	VERB
ejpam-2335	135	5	equations	equation	NOUN
ejpam-2335	135	6	(	(	PUNCT
ejpam-2335	135	7	4)-(9	4)-(9	NOUN
ejpam-2335	135	8	)	)	PUNCT
ejpam-2335	135	9	with	with	ADP
ejpam-2335	135	10	respect	respect	NOUN
ejpam-2335	135	11	to	to	ADP
ejpam-2335	135	12	t.	t.	PROPN
ejpam-2335	135	13	then	then	ADV
ejpam-2335	135	14	for	for	ADP
ejpam-2335	135	15	the	the	DET
ejpam-2335	135	16	function	function	NOUN
ejpam-2335	135	17	v	v	NOUN
ejpam-2335	135	18	=	=	SYM
ejpam-2335	135	19	ut	ut	INTJ
ejpam-2335	135	20	we	we	PRON
ejpam-2335	135	21	obtain	obtain	VERB
ejpam-2335	135	22	the	the	DET
ejpam-2335	135	23	equation	equation	NOUN
ejpam-2335	135	24	:	:	PUNCT
ejpam-2335	135	25	lv(x	lv(x	NOUN
ejpam-2335	135	26	,	,	PUNCT
ejpam-2335	135	27	t	t	X
ejpam-2335	135	28	)	)	PUNCT
ejpam-2335	135	29	=	=	SYM
ejpam-2335	136	1	¨	¨	NOUN
ejpam-2335	136	2	vt	vt	PROPN
ejpam-2335	136	3	−	−	PROPN
ejpam-2335	136	4	vx	vx	PROPN
ejpam-2335	136	5	x	x	PROPN
ejpam-2335	136	6	+	+	CCONJ
ejpam-2335	136	7	b2v	b2v	NOUN
ejpam-2335	136	8	=	=	SYM
ejpam-2335	136	9	0	0	NUM
ejpam-2335	136	10	;	;	PUNCT
ejpam-2335	136	11	t	t	PROPN
ejpam-2335	136	12	>	>	X
ejpam-2335	136	13	0	0	PROPN
ejpam-2335	136	14	,	,	PUNCT
ejpam-2335	136	15	vt	vt	PROPN
ejpam-2335	136	16	t	t	PROPN
ejpam-2335	136	17	−	−	PROPN
ejpam-2335	136	18	vx	vx	PROPN
ejpam-2335	136	19	x	x	PROPN
ejpam-2335	136	20	+	+	CCONJ
ejpam-2335	136	21	b2v	b2v	NOUN
ejpam-2335	136	22	=	=	SYM
ejpam-2335	136	23	0	0	NUM
ejpam-2335	136	24	;	;	PUNCT
ejpam-2335	136	25	t	t	X
ejpam-2335	136	26	<	<	X
ejpam-2335	136	27	0	0	NUM
ejpam-2335	136	28	,	,	PUNCT
ejpam-2335	136	29	(	(	PUNCT
ejpam-2335	136	30	18	18	NUM
ejpam-2335	136	31	)	)	PUNCT
ejpam-2335	136	32	and	and	CCONJ
ejpam-2335	136	33	from	from	ADP
ejpam-2335	136	34	conditions	condition	NOUN
ejpam-2335	136	35	(	(	PUNCT
ejpam-2335	136	36	5	5	NUM
ejpam-2335	136	37	)	)	PUNCT
ejpam-2335	136	38	and	and	CCONJ
ejpam-2335	136	39	(	(	PUNCT
ejpam-2335	136	40	6	6	X
ejpam-2335	136	41	)	)	PUNCT
ejpam-2335	136	42	we	we	PRON
ejpam-2335	136	43	get	get	VERB
ejpam-2335	136	44	:	:	PUNCT
ejpam-2335	136	45	v(0	v(0	PROPN
ejpam-2335	136	46	,	,	PUNCT
ejpam-2335	136	47	t	t	PROPN
ejpam-2335	136	48	)	)	PUNCT
ejpam-2335	136	49	=	=	SYM
ejpam-2335	136	50	ut(0	ut(0	PROPN
ejpam-2335	136	51	,	,	PUNCT
ejpam-2335	136	52	t	t	PROPN
ejpam-2335	136	53	)	)	PUNCT
ejpam-2335	137	1	=	=	NOUN
ejpam-2335	137	2	g	g	NOUN
ejpam-2335	137	3	′(t	′(t	PROPN
ejpam-2335	137	4	)	)	PUNCT
ejpam-2335	137	5	;	;	PUNCT
ejpam-2335	137	6	−α≤	−α≤	PROPN
ejpam-2335	137	7	t	t	PROPN
ejpam-2335	137	8	≤	≤	PROPN
ejpam-2335	137	9	β	β	X
ejpam-2335	137	10	,	,	PUNCT
ejpam-2335	137	11	(	(	PUNCT
ejpam-2335	137	12	19	19	NUM
ejpam-2335	137	13	)	)	PUNCT
ejpam-2335	137	14	v(1	v(1	PROPN
ejpam-2335	137	15	,	,	PUNCT
ejpam-2335	137	16	t	t	NOUN
ejpam-2335	137	17	)	)	PUNCT
ejpam-2335	137	18	=	=	SYM
ejpam-2335	137	19	ut(1	ut(1	PROPN
ejpam-2335	137	20	,	,	PUNCT
ejpam-2335	137	21	t	t	PROPN
ejpam-2335	137	22	)	)	PUNCT
ejpam-2335	137	23	=	=	SYM
ejpam-2335	137	24	h′(t	h′(t	PROPN
ejpam-2335	137	25	)	)	PUNCT
ejpam-2335	138	1	;	;	PUNCT
ejpam-2335	138	2	−α≤	−α≤	PROPN
ejpam-2335	138	3	t	t	PROPN
ejpam-2335	138	4	≤	≤	PROPN
ejpam-2335	138	5	β	β	X
ejpam-2335	138	6	.	.	PUNCT
ejpam-2335	139	1	(	(	PUNCT
ejpam-2335	139	2	20	20	NUM
ejpam-2335	139	3	)	)	PUNCT
ejpam-2335	139	4	using	use	VERB
ejpam-2335	139	5	condition	condition	NOUN
ejpam-2335	139	6	(	(	PUNCT
ejpam-2335	139	7	8)	8)	NUM
ejpam-2335	139	8	,	,	PUNCT
ejpam-2335	139	9	we	we	PRON
ejpam-2335	139	10	see	see	VERB
ejpam-2335	139	11	that	that	SCONJ
ejpam-2335	139	12	:	:	PUNCT
ejpam-2335	139	13	v(x	v(x	PROPN
ejpam-2335	139	14	,	,	PUNCT
ejpam-2335	139	15	−α	−α	NOUN
ejpam-2335	139	16	)	)	PUNCT
ejpam-2335	139	17	=	=	SYM
ejpam-2335	139	18	ut(x	ut(x	NOUN
ejpam-2335	139	19	,	,	PUNCT
ejpam-2335	139	20	−α	−α	NOUN
ejpam-2335	139	21	)	)	PUNCT
ejpam-2335	139	22	=	=	SYM
ejpam-2335	139	23	q(x	q(x	PROPN
ejpam-2335	139	24	)	)	PUNCT
ejpam-2335	139	25	;	;	PUNCT
ejpam-2335	139	26	0≤	0≤	NUM
ejpam-2335	139	27	x	x	X
ejpam-2335	139	28	≤	≤	NUM
ejpam-2335	139	29	1	1	NUM
ejpam-2335	139	30	.	.	PUNCT
ejpam-2335	140	1	(	(	PUNCT
ejpam-2335	140	2	21	21	NUM
ejpam-2335	140	3	)	)	PUNCT
ejpam-2335	140	4	f.	f.	PROPN
ejpam-2335	140	5	parzlivand	parzlivand	PROPN
ejpam-2335	140	6	,	,	PUNCT
ejpam-2335	140	7	a.	a.	NOUN
ejpam-2335	140	8	shahrezaee	shahrezaee	PROPN
ejpam-2335	140	9	/	/	SYM
ejpam-2335	140	10	eur	eur	PROPN
ejpam-2335	140	11	.	.	PUNCT
ejpam-2335	141	1	j.	j.	PROPN
ejpam-2335	141	2	pure	pure	PROPN
ejpam-2335	141	3	appl	appl	PROPN
ejpam-2335	141	4	.	.	PROPN
ejpam-2335	141	5	math	math	PROPN
ejpam-2335	141	6	,	,	PUNCT
ejpam-2335	141	7	8	8	NUM
ejpam-2335	141	8	(	(	PUNCT
ejpam-2335	141	9	2015	2015	NUM
ejpam-2335	141	10	)	)	PUNCT
ejpam-2335	141	11	,	,	PUNCT
ejpam-2335	141	12	239	239	NUM
ejpam-2335	141	13	-	-	SYM
ejpam-2335	141	14	254	254	NUM
ejpam-2335	141	15	244	244	NUM
ejpam-2335	141	16	the	the	DET
ejpam-2335	141	17	problem	problem	NOUN
ejpam-2335	141	18	(	(	PUNCT
ejpam-2335	141	19	2)-(9	2)-(9	NOUN
ejpam-2335	141	20	)	)	PUNCT
ejpam-2335	141	21	may	may	AUX
ejpam-2335	141	22	be	be	AUX
ejpam-2335	141	23	divided	divide	VERB
ejpam-2335	141	24	into	into	ADP
ejpam-2335	141	25	two	two	NUM
ejpam-2335	141	26	separate	separate	ADJ
ejpam-2335	141	27	problems	problem	NOUN
ejpam-2335	141	28	.	.	PUNCT
ejpam-2335	142	1	the	the	DET
ejpam-2335	142	2	first	first	ADJ
ejpam-2335	142	3	problem	problem	NOUN
ejpam-2335	142	4	is	be	AUX
ejpam-2335	142	5	the	the	DET
ejpam-2335	142	6	following	follow	VERB
ejpam-2335	142	7	parabolic	parabolic	ADJ
ejpam-2335	142	8	problem	problem	NOUN
ejpam-2335	142	9	:	:	PUNCT
ejpam-2335	142	10	vt	vt	PROPN
ejpam-2335	142	11	−	−	PROPN
ejpam-2335	142	12	vx	vx	PROPN
ejpam-2335	142	13	x	x	PROPN
ejpam-2335	142	14	+	+	CCONJ
ejpam-2335	142	15	b2v	b2v	NOUN
ejpam-2335	142	16	=	=	NOUN
ejpam-2335	142	17	0	0	NUM
ejpam-2335	142	18	;	;	PUNCT
ejpam-2335	142	19	0	0	NUM
ejpam-2335	142	20	<	<	X
ejpam-2335	142	21	x	x	X
ejpam-2335	142	22	<	<	X
ejpam-2335	142	23	1	1	NUM
ejpam-2335	142	24	,	,	PUNCT
ejpam-2335	142	25	0	0	NUM
ejpam-2335	142	26	<	<	X
ejpam-2335	142	27	t	t	X
ejpam-2335	142	28	<	<	X
ejpam-2335	142	29	β	β	X
ejpam-2335	142	30	,	,	PUNCT
ejpam-2335	142	31	(	(	PUNCT
ejpam-2335	142	32	22	22	NUM
ejpam-2335	142	33	)	)	PUNCT
ejpam-2335	142	34	v(0	v(0	PROPN
ejpam-2335	142	35	,	,	PUNCT
ejpam-2335	142	36	t	t	PROPN
ejpam-2335	142	37	)	)	PUNCT
ejpam-2335	142	38	=	=	NOUN
ejpam-2335	142	39	g	g	NOUN
ejpam-2335	142	40	′(t	′(t	PROPN
ejpam-2335	142	41	)	)	PUNCT
ejpam-2335	142	42	;	;	PUNCT
ejpam-2335	142	43	0≤	0≤	NUM
ejpam-2335	142	44	t	t	NOUN
ejpam-2335	142	45	≤	≤	NOUN
ejpam-2335	142	46	β	β	X
ejpam-2335	142	47	,	,	PUNCT
ejpam-2335	142	48	(	(	PUNCT
ejpam-2335	142	49	23	23	NUM
ejpam-2335	142	50	)	)	PUNCT
ejpam-2335	142	51	v(1	v(1	PROPN
ejpam-2335	142	52	,	,	PUNCT
ejpam-2335	142	53	t	t	NOUN
ejpam-2335	142	54	)	)	PUNCT
ejpam-2335	142	55	=	=	SYM
ejpam-2335	142	56	h′(t	h′(t	NOUN
ejpam-2335	142	57	)	)	PUNCT
ejpam-2335	142	58	;	;	PUNCT
ejpam-2335	142	59	0≤	0≤	NUM
ejpam-2335	142	60	t	t	NOUN
ejpam-2335	142	61	≤	≤	NOUN
ejpam-2335	142	62	β	β	X
ejpam-2335	142	63	.	.	PUNCT
ejpam-2335	143	1	(	(	PUNCT
ejpam-2335	143	2	24	24	NUM
ejpam-2335	143	3	)	)	PUNCT
ejpam-2335	143	4	the	the	DET
ejpam-2335	143	5	second	second	ADJ
ejpam-2335	143	6	problem	problem	NOUN
ejpam-2335	143	7	is	be	AUX
ejpam-2335	143	8	a	a	DET
ejpam-2335	143	9	hyperbolic	hyperbolic	ADJ
ejpam-2335	143	10	problem	problem	NOUN
ejpam-2335	143	11	as	as	SCONJ
ejpam-2335	143	12	follows	follow	VERB
ejpam-2335	143	13	:	:	PUNCT
ejpam-2335	143	14	vt	vt	PROPN
ejpam-2335	143	15	t	t	PROPN
ejpam-2335	144	1	−	−	PROPN
ejpam-2335	144	2	vx	vx	PROPN
ejpam-2335	144	3	x	x	PROPN
ejpam-2335	144	4	+	+	CCONJ
ejpam-2335	144	5	b2v	b2v	NOUN
ejpam-2335	144	6	=	=	NOUN
ejpam-2335	144	7	0	0	NUM
ejpam-2335	144	8	;	;	PUNCT
ejpam-2335	144	9	0	0	NUM
ejpam-2335	144	10	<	<	X
ejpam-2335	144	11	x	x	X
ejpam-2335	144	12	<	<	X
ejpam-2335	144	13	1	1	NUM
ejpam-2335	144	14	,	,	PUNCT
ejpam-2335	144	15	−α	−α	NOUN
ejpam-2335	144	16	<	<	X
ejpam-2335	144	17	t	t	X
ejpam-2335	144	18	<	<	X
ejpam-2335	144	19	0	0	NUM
ejpam-2335	144	20	,	,	PUNCT
ejpam-2335	144	21	(	(	PUNCT
ejpam-2335	144	22	25	25	NUM
ejpam-2335	144	23	)	)	PUNCT
ejpam-2335	144	24	v(x	v(x	NOUN
ejpam-2335	144	25	,	,	PUNCT
ejpam-2335	144	26	−α	−α	NOUN
ejpam-2335	144	27	)	)	PUNCT
ejpam-2335	144	28	=	=	SYM
ejpam-2335	144	29	q(x	q(x	NOUN
ejpam-2335	144	30	)	)	PUNCT
ejpam-2335	144	31	;	;	PUNCT
ejpam-2335	144	32	0≤	0≤	NUM
ejpam-2335	144	33	x	x	X
ejpam-2335	144	34	≤	≤	NUM
ejpam-2335	144	35	1	1	NUM
ejpam-2335	144	36	,	,	PUNCT
ejpam-2335	144	37	(	(	PUNCT
ejpam-2335	144	38	26	26	NUM
ejpam-2335	144	39	)	)	PUNCT
ejpam-2335	144	40	v(0	v(0	PROPN
ejpam-2335	144	41	,	,	PUNCT
ejpam-2335	144	42	t	t	PROPN
ejpam-2335	144	43	)	)	PUNCT
ejpam-2335	144	44	=	=	NOUN
ejpam-2335	144	45	g	g	NOUN
ejpam-2335	144	46	′(t	′(t	PROPN
ejpam-2335	144	47	)	)	PUNCT
ejpam-2335	144	48	;	;	PUNCT
ejpam-2335	144	49	−α≤	−α≤	PROPN
ejpam-2335	144	50	t	t	VERB
ejpam-2335	144	51	≤	≤	NUM
ejpam-2335	144	52	0	0	NUM
ejpam-2335	144	53	,	,	PUNCT
ejpam-2335	144	54	(	(	PUNCT
ejpam-2335	144	55	27	27	NUM
ejpam-2335	144	56	)	)	PUNCT
ejpam-2335	144	57	v(1	v(1	PROPN
ejpam-2335	144	58	,	,	PUNCT
ejpam-2335	144	59	t	t	NOUN
ejpam-2335	144	60	)	)	PUNCT
ejpam-2335	144	61	=	=	SYM
ejpam-2335	144	62	h′(t	h′(t	NOUN
ejpam-2335	144	63	)	)	PUNCT
ejpam-2335	144	64	;	;	PUNCT
ejpam-2335	144	65	−α≤	−α≤	PROPN
ejpam-2335	144	66	t	t	VERB
ejpam-2335	144	67	≤	≤	NUM
ejpam-2335	144	68	0	0	NUM
ejpam-2335	144	69	.	.	PUNCT
ejpam-2335	145	1	(	(	PUNCT
ejpam-2335	145	2	28	28	NUM
ejpam-2335	145	3	)	)	PUNCT
ejpam-2335	145	4	therefore	therefore	ADV
ejpam-2335	145	5	,	,	PUNCT
ejpam-2335	145	6	for	for	ADP
ejpam-2335	145	7	solving	solve	VERB
ejpam-2335	145	8	the	the	DET
ejpam-2335	145	9	inverse	inverse	NOUN
ejpam-2335	145	10	mixed	mixed	ADJ
ejpam-2335	145	11	parabolic	parabolic	ADJ
ejpam-2335	145	12	-	-	PUNCT
ejpam-2335	145	13	hyperbolic	hyperbolic	ADJ
ejpam-2335	145	14	problem	problem	NOUN
ejpam-2335	145	15	(	(	PUNCT
ejpam-2335	145	16	2)-(9	2)-(9	NOUN
ejpam-2335	145	17	)	)	PUNCT
ejpam-2335	145	18	,	,	PUNCT
ejpam-2335	145	19	we	we	PRON
ejpam-2335	145	20	shall	shall	AUX
ejpam-2335	145	21	investigate	investigate	VERB
ejpam-2335	145	22	the	the	DET
ejpam-2335	145	23	direct	direct	ADJ
ejpam-2335	145	24	parabolic	parabolic	NOUN
ejpam-2335	145	25	problem	problem	NOUN
ejpam-2335	145	26	(	(	PUNCT
ejpam-2335	145	27	22)-(24	22)-(24	NUM
ejpam-2335	145	28	)	)	PUNCT
ejpam-2335	145	29	and	and	CCONJ
ejpam-2335	145	30	the	the	DET
ejpam-2335	145	31	direct	direct	ADJ
ejpam-2335	145	32	hyperbolic	hyperbolic	ADJ
ejpam-2335	145	33	problem	problem	NOUN
ejpam-2335	145	34	(	(	PUNCT
ejpam-2335	145	35	25)(28	25)(28	NUM
ejpam-2335	145	36	)	)	PUNCT
ejpam-2335	145	37	.	.	PUNCT
ejpam-2335	146	1	4	4	X
ejpam-2335	146	2	.	.	X
ejpam-2335	146	3	numerical	numerical	ADJ
ejpam-2335	146	4	procedures	procedure	NOUN
ejpam-2335	146	5	in	in	ADP
ejpam-2335	146	6	this	this	DET
ejpam-2335	146	7	section	section	NOUN
ejpam-2335	146	8	,	,	PUNCT
ejpam-2335	146	9	the	the	DET
ejpam-2335	146	10	ga	ga	PROPN
ejpam-2335	146	11	-	-	PUNCT
ejpam-2335	146	12	rbfs	rbfs	NOUN
ejpam-2335	146	13	method	method	NOUN
ejpam-2335	146	14	are	be	AUX
ejpam-2335	146	15	used	use	VERB
ejpam-2335	146	16	for	for	ADP
ejpam-2335	146	17	solving	solve	VERB
ejpam-2335	146	18	the	the	DET
ejpam-2335	146	19	mixed	mixed	ADJ
ejpam-2335	146	20	parabolic	parabolic	ADJ
ejpam-2335	146	21	-	-	PUNCT
ejpam-2335	146	22	hyperbolic	hyperbolic	ADJ
ejpam-2335	146	23	problem	problem	NOUN
ejpam-2335	146	24	(	(	PUNCT
ejpam-2335	146	25	2)-(9	2)-(9	NOUN
ejpam-2335	146	26	)	)	PUNCT
ejpam-2335	146	27	.	.	PUNCT
ejpam-2335	147	1	in	in	ADP
ejpam-2335	147	2	order	order	NOUN
ejpam-2335	147	3	to	to	PART
ejpam-2335	147	4	use	use	VERB
ejpam-2335	147	5	the	the	DET
ejpam-2335	147	6	ga	ga	NOUN
ejpam-2335	147	7	-	-	NOUN
ejpam-2335	147	8	rbfs	rbfs	NOUN
ejpam-2335	147	9	for	for	ADP
ejpam-2335	147	10	solving	solve	VERB
ejpam-2335	147	11	this	this	DET
ejpam-2335	147	12	problem	problem	NOUN
ejpam-2335	147	13	,	,	PUNCT
ejpam-2335	147	14	we	we	PRON
ejpam-2335	147	15	shall	shall	AUX
ejpam-2335	147	16	investigate	investigate	VERB
ejpam-2335	147	17	the	the	DET
ejpam-2335	147	18	direct	direct	ADJ
ejpam-2335	147	19	parabolic	parabolic	NOUN
ejpam-2335	147	20	problem	problem	NOUN
ejpam-2335	147	21	(	(	PUNCT
ejpam-2335	147	22	22)-(24	22)-(24	NUM
ejpam-2335	147	23	)	)	PUNCT
ejpam-2335	147	24	and	and	CCONJ
ejpam-2335	147	25	direct	direct	ADJ
ejpam-2335	147	26	hyperbolic	hyperbolic	ADJ
ejpam-2335	147	27	problem	problem	NOUN
ejpam-2335	147	28	(	(	PUNCT
ejpam-2335	147	29	25)-(28	25)-(28	NUM
ejpam-2335	147	30	)	)	PUNCT
ejpam-2335	147	31	.	.	PUNCT
ejpam-2335	148	1	4.1	4.1	NUM
ejpam-2335	148	2	.	.	PUNCT
ejpam-2335	148	3	application	application	NOUN
ejpam-2335	148	4	of	of	ADP
ejpam-2335	148	5	ca	ca	NOUN
ejpam-2335	148	6	-	-	PUNCT
ejpam-2335	148	7	rbfs	rbfs	NOUN
ejpam-2335	148	8	in	in	ADP
ejpam-2335	148	9	the	the	DET
ejpam-2335	148	10	parabolic	parabolic	ADJ
ejpam-2335	148	11	problem	problem	NOUN
ejpam-2335	148	12	(	(	PUNCT
ejpam-2335	148	13	22)-(24	22)-(24	NUM
ejpam-2335	148	14	)	)	PUNCT
ejpam-2335	148	15	for	for	ADP
ejpam-2335	148	16	this	this	DET
ejpam-2335	148	17	problem	problem	NOUN
ejpam-2335	148	18	,	,	PUNCT
ejpam-2335	148	19	let	let	VERB
ejpam-2335	148	20	x	x	PRON
ejpam-2335	148	21	i	i	NOUN
ejpam-2335	148	22	=	=	PUNCT
ejpam-2335	148	23	i−1	i−1	PROPN
ejpam-2335	148	24	n−1	n−1	PROPN
ejpam-2335	148	25	,	,	PUNCT
ejpam-2335	148	26	i	i	PRON
ejpam-2335	148	27	=	=	NOUN
ejpam-2335	148	28	1,2	1,2	NUM
ejpam-2335	148	29	,	,	PUNCT
ejpam-2335	148	30	.	.	PUNCT
ejpam-2335	148	31	.	.	PUNCT
ejpam-2335	149	1	.	.	PUNCT
ejpam-2335	150	1	,	,	PUNCT
ejpam-2335	151	1	n	n	PROPN
ejpam-2335	151	2	and	and	CCONJ
ejpam-2335	151	3	t	t	PROPN
ejpam-2335	151	4	j	j	PROPN
ejpam-2335	152	1	=	=	PUNCT
ejpam-2335	152	2	β	β	X
ejpam-2335	152	3	j	j	PROPN
ejpam-2335	152	4	m	m	VERB
ejpam-2335	152	5	,	,	PUNCT
ejpam-2335	152	6	j	j	PROPN
ejpam-2335	152	7	=	=	SYM
ejpam-2335	152	8	1,2	1,2	NUM
ejpam-2335	152	9	,	,	PUNCT
ejpam-2335	152	10	.	.	PUNCT
ejpam-2335	152	11	.	.	PUNCT
ejpam-2335	152	12	.	.	PUNCT
ejpam-2335	153	1	,	,	PUNCT
ejpam-2335	153	2	m	m	PROPN
ejpam-2335	153	3	.	.	PUNCT
ejpam-2335	154	1	and	and	CCONJ
ejpam-2335	154	2	supposed	suppose	VERB
ejpam-2335	154	3	that	that	PRON
ejpam-2335	154	4	{	{	PUNCT
ejpam-2335	154	5	(	(	PUNCT
ejpam-2335	154	6	x	x	SYM
ejpam-2335	154	7	i	i	PROPN
ejpam-2335	154	8	,	,	PUNCT
ejpam-2335	154	9	t	t	PROPN
ejpam-2335	154	10	j	j	PROPN
ejpam-2335	154	11	)	)	PUNCT
ejpam-2335	154	12	,	,	PUNCT
ejpam-2335	154	13	i	i	NOUN
ejpam-2335	154	14	=	=	NOUN
ejpam-2335	154	15	1,2	1,2	NUM
ejpam-2335	154	16	,	,	PUNCT
ejpam-2335	154	17	.	.	PUNCT
ejpam-2335	154	18	.	.	PUNCT
ejpam-2335	155	1	.	.	PUNCT
ejpam-2335	156	1	,	,	PUNCT
ejpam-2335	156	2	n	n	X
ejpam-2335	156	3	,	,	PUNCT
ejpam-2335	156	4	j	j	PROPN
ejpam-2335	156	5	=	=	SYM
ejpam-2335	156	6	1	1	NUM
ejpam-2335	156	7	,	,	PUNCT
ejpam-2335	156	8	.	.	PUNCT
ejpam-2335	156	9	.	.	PUNCT
ejpam-2335	157	1	.	.	PUNCT
ejpam-2335	158	1	,	,	PUNCT
ejpam-2335	158	2	m	m	AUX
ejpam-2335	158	3	}	}	PUNCT
ejpam-2335	158	4	be	be	AUX
ejpam-2335	158	5	a	a	DET
ejpam-2335	158	6	set	set	NOUN
ejpam-2335	158	7	of	of	ADP
ejpam-2335	158	8	scattered	scatter	VERB
ejpam-2335	158	9	nodes	node	NOUN
ejpam-2335	158	10	.	.	PUNCT
ejpam-2335	159	1	note	note	VERB
ejpam-2335	159	2	that	that	SCONJ
ejpam-2335	159	3	u(x	u(x	NOUN
ejpam-2335	159	4	,	,	PUNCT
ejpam-2335	159	5	0	0	NUM
ejpam-2335	159	6	)	)	PUNCT
ejpam-2335	159	7	is	be	AUX
ejpam-2335	159	8	unknown	unknown	ADJ
ejpam-2335	160	1	so	so	SCONJ
ejpam-2335	160	2	that	that	SCONJ
ejpam-2335	160	3	boundary	boundary	ADJ
ejpam-2335	160	4	t	t	PROPN
ejpam-2335	160	5	=	=	SYM
ejpam-2335	160	6	0	0	PROPN
ejpam-2335	160	7	does	do	AUX
ejpam-2335	160	8	not	not	PART
ejpam-2335	160	9	discretization	discretization	VERB
ejpam-2335	160	10	.	.	PUNCT
ejpam-2335	161	1	then	then	ADV
ejpam-2335	161	2	the	the	DET
ejpam-2335	161	3	solution	solution	NOUN
ejpam-2335	161	4	of	of	ADP
ejpam-2335	161	5	the	the	DET
ejpam-2335	161	6	problem	problem	NOUN
ejpam-2335	161	7	(	(	PUNCT
ejpam-2335	161	8	22)-(24	22)-(24	NUM
ejpam-2335	161	9	)	)	PUNCT
ejpam-2335	161	10	by	by	ADP
ejpam-2335	161	11	using	use	VERB
ejpam-2335	161	12	ga	ga	NOUN
ejpam-2335	161	13	-	-	PUNCT
ejpam-2335	161	14	rbfs	rbfs	NOUN
ejpam-2335	161	15	is	be	AUX
ejpam-2335	161	16	considered	consider	VERB
ejpam-2335	161	17	as	as	SCONJ
ejpam-2335	161	18	follows	follow	VERB
ejpam-2335	161	19	:	:	PUNCT
ejpam-2335	161	20	v(x	v(x	PROPN
ejpam-2335	161	21	,	,	PUNCT
ejpam-2335	161	22	t	t	PROPN
ejpam-2335	161	23	)	)	PUNCT
ejpam-2335	161	24	≃	≃	NOUN
ejpam-2335	161	25	n	n	PROPN
ejpam-2335	161	26	∑	∑	PROPN
ejpam-2335	161	27	i=1	i=1	PROPN
ejpam-2335	161	28	m	m	VERB
ejpam-2335	161	29	∑	∑	PUNCT
ejpam-2335	162	1	j=1	j=1	PROPN
ejpam-2335	162	2	vi	vi	PROPN
ejpam-2335	162	3	jφi	jφi	PROPN
ejpam-2335	162	4	j(x	j(x	PROPN
ejpam-2335	162	5	,	,	PUNCT
ejpam-2335	162	6	t	t	PROPN
ejpam-2335	162	7	)	)	PUNCT
ejpam-2335	162	8	=	=	SYM
ejpam-2335	163	1	n	n	CCONJ
ejpam-2335	163	2	∑	∑	PROPN
ejpam-2335	163	3	i=1	i=1	PROPN
ejpam-2335	163	4	m	m	VERB
ejpam-2335	163	5	∑	∑	PROPN
ejpam-2335	163	6	j=1	j=1	PROPN
ejpam-2335	163	7	vi	vi	PROPN
ejpam-2335	163	8	je	je	PROPN
ejpam-2335	163	9	−ǫ2((x−x	−ǫ2((x−x	PROPN
ejpam-2335	163	10	i	i	PROPN
ejpam-2335	163	11	)	)	PUNCT
ejpam-2335	163	12	2)+(t−t	2)+(t−t	NUM
ejpam-2335	163	13	j	j	NOUN
ejpam-2335	163	14	)	)	PUNCT
ejpam-2335	163	15	2	2	NUM
ejpam-2335	163	16	)	)	PUNCT
ejpam-2335	163	17	=	=	SYM
ejpam-2335	164	1	n	n	CCONJ
ejpam-2335	164	2	∑	∑	PROPN
ejpam-2335	164	3	i=1	i=1	PROPN
ejpam-2335	164	4	m	m	VERB
ejpam-2335	164	5	∑	∑	PUNCT
ejpam-2335	164	6	j=1	j=1	PROPN
ejpam-2335	164	7	vi	vi	PROPN
ejpam-2335	164	8	jφi(x)φ	jφi(x)φ	NOUN
ejpam-2335	164	9	j(t	j(t	PROPN
ejpam-2335	164	10	)	)	PUNCT
ejpam-2335	165	1	=	=	NOUN
ejpam-2335	165	2	φt	φt	NOUN
ejpam-2335	165	3	n	n	PROPN
ejpam-2335	165	4	(	(	PUNCT
ejpam-2335	165	5	x)vφm	x)vφm	PROPN
ejpam-2335	165	6	(	(	PUNCT
ejpam-2335	165	7	t	t	PROPN
ejpam-2335	165	8	)	)	PUNCT
ejpam-2335	165	9	,	,	PUNCT
ejpam-2335	165	10	(	(	PUNCT
ejpam-2335	165	11	29	29	NUM
ejpam-2335	165	12	)	)	PUNCT
ejpam-2335	165	13	where	where	SCONJ
ejpam-2335	165	14	φi(x	φi(x	NUM
ejpam-2335	165	15	)	)	PUNCT
ejpam-2335	165	16	is	be	AUX
ejpam-2335	165	17	the	the	DET
ejpam-2335	165	18	ga	ga	PROPN
ejpam-2335	165	19	-	-	PUNCT
ejpam-2335	165	20	rbf	rbf	PROPN
ejpam-2335	165	21	on	on	ADP
ejpam-2335	165	22	[	[	X
ejpam-2335	165	23	0,1	0,1	NUM
ejpam-2335	165	24	]	]	PUNCT
ejpam-2335	165	25	,	,	PUNCT
ejpam-2335	165	26	e.i	e.i	PROPN
ejpam-2335	165	27	.	.	PROPN
ejpam-2335	165	28	φi(x	φi(x	NUM
ejpam-2335	165	29	)	)	PUNCT
ejpam-2335	165	30	=	=	VERB
ejpam-2335	165	31	e−ǫ	e−ǫ	PUNCT
ejpam-2335	165	32	2(x−x	2(x−x	PROPN
ejpam-2335	165	33	i	i	PROPN
ejpam-2335	165	34	)	)	PUNCT
ejpam-2335	165	35	2	2	NUM
ejpam-2335	165	36	,	,	PUNCT
ejpam-2335	165	37	φ	φ	PROPN
ejpam-2335	165	38	j(t	j(t	PROPN
ejpam-2335	165	39	)	)	PUNCT
ejpam-2335	165	40	is	be	AUX
ejpam-2335	165	41	the	the	DET
ejpam-2335	165	42	ga	ga	PROPN
ejpam-2335	165	43	-	-	PUNCT
ejpam-2335	165	44	rbf	rbf	PROPN
ejpam-2335	165	45	on	on	ADP
ejpam-2335	165	46	[	[	X
ejpam-2335	165	47	0,β	0,β	NUM
ejpam-2335	165	48	]	]	X
ejpam-2335	165	49	and	and	CCONJ
ejpam-2335	165	50	the	the	DET
ejpam-2335	165	51	unknown	unknown	ADJ
ejpam-2335	165	52	matrix	matrix	NOUN
ejpam-2335	165	53	v	v	NOUN
ejpam-2335	165	54	is	be	AUX
ejpam-2335	165	55	n	n	PRON
ejpam-2335	165	56	×m	×m	NOUN
ejpam-2335	165	57	and	and	CCONJ
ejpam-2335	165	58	can	can	AUX
ejpam-2335	165	59	be	be	AUX
ejpam-2335	165	60	shown	show	VERB
ejpam-2335	165	61	as	as	ADP
ejpam-2335	165	62	:	:	PUNCT
ejpam-2335	165	63			NOUN
ejpam-2335	165	64			ADJ
ejpam-2335	165	65			ADJ
ejpam-2335	165	66			ADJ
ejpam-2335	165	67			NUM
ejpam-2335	165	68	v11	v11	NOUN
ejpam-2335	165	69	v12	v12	VERB
ejpam-2335	165	70	·	·	PUNCT
ejpam-2335	165	71	·	·	PUNCT
ejpam-2335	165	72	·	·	PUNCT
ejpam-2335	166	1	v1	v1	NOUN
ejpam-2335	166	2	m	m	NOUN
ejpam-2335	166	3	v21	v21	NOUN
ejpam-2335	166	4	v22	v22	NOUN
ejpam-2335	166	5	·	·	PUNCT
ejpam-2335	166	6	·	·	PUNCT
ejpam-2335	167	1	·	·	PUNCT
ejpam-2335	167	2	v2	v2	NOUN
ejpam-2335	167	3	m	m	NOUN
ejpam-2335	167	4	...	...	PUNCT
ejpam-2335	167	5	...	...	PUNCT
ejpam-2335	167	6	.	.	PUNCT
ejpam-2335	167	7	.	.	PUNCT
ejpam-2335	167	8	.	.	PUNCT
ejpam-2335	168	1	...	...	PUNCT
ejpam-2335	169	1	vn1	vn1	NOUN
ejpam-2335	169	2	vn2	vn2	NOUN
ejpam-2335	169	3	·	·	PUNCT
ejpam-2335	169	4	·	·	PUNCT
ejpam-2335	169	5	·	·	PUNCT
ejpam-2335	170	1	vn	vn	INTJ
ejpam-2335	170	2	m	m	NOUN
ejpam-2335	170	3			PROPN
ejpam-2335	170	4			PROPN
ejpam-2335	170	5			PROPN
ejpam-2335	170	6			PROPN
ejpam-2335	170	7			PROPN
ejpam-2335	170	8	f.	f.	PROPN
ejpam-2335	170	9	parzlivand	parzlivand	PROPN
ejpam-2335	170	10	,	,	PUNCT
ejpam-2335	170	11	a.	a.	NOUN
ejpam-2335	170	12	shahrezaee	shahrezaee	PROPN
ejpam-2335	170	13	/	/	SYM
ejpam-2335	170	14	eur	eur	PROPN
ejpam-2335	170	15	.	.	PUNCT
ejpam-2335	171	1	j.	j.	PROPN
ejpam-2335	171	2	pure	pure	PROPN
ejpam-2335	171	3	appl	appl	PROPN
ejpam-2335	171	4	.	.	PROPN
ejpam-2335	171	5	math	math	PROPN
ejpam-2335	171	6	,	,	PUNCT
ejpam-2335	171	7	8	8	NUM
ejpam-2335	171	8	(	(	PUNCT
ejpam-2335	171	9	2015	2015	NUM
ejpam-2335	171	10	)	)	PUNCT
ejpam-2335	171	11	,	,	PUNCT
ejpam-2335	171	12	239	239	NUM
ejpam-2335	171	13	-	-	SYM
ejpam-2335	171	14	254	254	NUM
ejpam-2335	171	15	245	245	NUM
ejpam-2335	171	16	by	by	ADP
ejpam-2335	171	17	using	use	VERB
ejpam-2335	171	18	(	(	PUNCT
ejpam-2335	171	19	13	13	NUM
ejpam-2335	171	20	)	)	PUNCT
ejpam-2335	171	21	we	we	PRON
ejpam-2335	171	22	have	have	AUX
ejpam-2335	171	23	:	:	PUNCT
ejpam-2335	171	24	vt(x	vt(x	NUM
ejpam-2335	171	25	,	,	PUNCT
ejpam-2335	171	26	t	t	PROPN
ejpam-2335	171	27	)	)	PUNCT
ejpam-2335	171	28	=	=	SYM
ejpam-2335	171	29	∂	∂	NUM
ejpam-2335	172	1	∂	∂	NUM
ejpam-2335	172	2	t	t	PROPN
ejpam-2335	172	3	φt	φt	NOUN
ejpam-2335	172	4	n	n	PROPN
ejpam-2335	172	5	(	(	PUNCT
ejpam-2335	172	6	x)vφm	x)vφm	PROPN
ejpam-2335	172	7	(	(	PUNCT
ejpam-2335	172	8	t	t	PROPN
ejpam-2335	172	9	)	)	PUNCT
ejpam-2335	172	10	=	=	PUNCT
ejpam-2335	173	1	φ	φ	PROPN
ejpam-2335	173	2	t	t	PROPN
ejpam-2335	173	3	n	n	PROPN
ejpam-2335	173	4	(	(	PUNCT
ejpam-2335	173	5	x)vφ	x)vφ	PROPN
ejpam-2335	173	6	′	′	NUM
ejpam-2335	173	7	m	m	VERB
ejpam-2335	173	8	(	(	PUNCT
ejpam-2335	173	9	t	t	PROPN
ejpam-2335	173	10	)	)	PUNCT
ejpam-2335	173	11	=	=	PUNCT
ejpam-2335	174	1	φ	φ	PROPN
ejpam-2335	174	2	t	t	PROPN
ejpam-2335	174	3	n	n	PROPN
ejpam-2335	174	4	(	(	PUNCT
ejpam-2335	174	5	x)v	x)v	PUNCT
ejpam-2335	174	6	dm	dm	X
ejpam-2335	174	7	(	(	PUNCT
ejpam-2335	174	8	t)φm	t)φm	PROPN
ejpam-2335	174	9	(	(	PUNCT
ejpam-2335	174	10	t	t	PROPN
ejpam-2335	174	11	)	)	PUNCT
ejpam-2335	174	12	.	.	PUNCT
ejpam-2335	175	1	(	(	PUNCT
ejpam-2335	175	2	30	30	NUM
ejpam-2335	175	3	)	)	PUNCT
ejpam-2335	175	4	also	also	ADV
ejpam-2335	175	5	,	,	PUNCT
ejpam-2335	175	6	from	from	ADP
ejpam-2335	175	7	(	(	PUNCT
ejpam-2335	175	8	16	16	NUM
ejpam-2335	175	9	)	)	PUNCT
ejpam-2335	175	10	we	we	PRON
ejpam-2335	175	11	obtain	obtain	VERB
ejpam-2335	175	12	:	:	PUNCT
ejpam-2335	175	13	vx	vx	PROPN
ejpam-2335	175	14	x(x	x(x	PROPN
ejpam-2335	175	15	,	,	PUNCT
ejpam-2335	175	16	t	t	PROPN
ejpam-2335	175	17	)	)	PUNCT
ejpam-2335	175	18	=	=	SYM
ejpam-2335	175	19	∂	∂	NUM
ejpam-2335	175	20	2	2	NUM
ejpam-2335	175	21	∂	∂	NUM
ejpam-2335	175	22	x2	x2	NOUN
ejpam-2335	175	23	φt	φt	PROPN
ejpam-2335	175	24	n	n	PROPN
ejpam-2335	175	25	(	(	PUNCT
ejpam-2335	175	26	x)vφm	x)vφm	PROPN
ejpam-2335	175	27	(	(	PUNCT
ejpam-2335	175	28	t	t	PROPN
ejpam-2335	175	29	)	)	PUNCT
ejpam-2335	175	30	=	=	PUNCT
ejpam-2335	175	31	φ	φ	PROPN
ejpam-2335	175	32	′′t	′′t	PROPN
ejpam-2335	176	1	n	n	PROPN
ejpam-2335	176	2	(	(	PUNCT
ejpam-2335	176	3	x)vφm	x)vφm	PROPN
ejpam-2335	176	4	(	(	PUNCT
ejpam-2335	176	5	t	t	PROPN
ejpam-2335	176	6	)	)	PUNCT
ejpam-2335	176	7	=	=	PUNCT
ejpam-2335	177	1	φ	φ	PROPN
ejpam-2335	177	2	t	t	PROPN
ejpam-2335	177	3	n	n	CCONJ
ejpam-2335	177	4	(	(	PUNCT
ejpam-2335	177	5	x)(pn	x)(pn	X
ejpam-2335	177	6	+	+	CCONJ
ejpam-2335	177	7	d2	d2	PROPN
ejpam-2335	177	8	n	n	CCONJ
ejpam-2335	177	9	(	(	PUNCT
ejpam-2335	177	10	x	x	NOUN
ejpam-2335	177	11	)	)	PUNCT
ejpam-2335	177	12	)	)	PUNCT
ejpam-2335	178	1	t	t	PROPN
ejpam-2335	178	2	vφm	vφm	NOUN
ejpam-2335	178	3	(	(	PUNCT
ejpam-2335	178	4	t	t	PROPN
ejpam-2335	178	5	)	)	PUNCT
ejpam-2335	178	6	.	.	PUNCT
ejpam-2335	179	1	(	(	PUNCT
ejpam-2335	179	2	31	31	NUM
ejpam-2335	179	3	)	)	PUNCT
ejpam-2335	179	4	using	use	VERB
ejpam-2335	179	5	(	(	PUNCT
ejpam-2335	179	6	29)-(31	29)-(31	NUM
ejpam-2335	179	7	)	)	PUNCT
ejpam-2335	179	8	in	in	ADP
ejpam-2335	179	9	(	(	PUNCT
ejpam-2335	179	10	22	22	NUM
ejpam-2335	179	11	)	)	PUNCT
ejpam-2335	179	12	,	,	PUNCT
ejpam-2335	179	13	we	we	PRON
ejpam-2335	179	14	obtain	obtain	VERB
ejpam-2335	179	15	:	:	PUNCT
ejpam-2335	179	16	φt	φt	NOUN
ejpam-2335	179	17	n	n	CCONJ
ejpam-2335	179	18	(	(	PUNCT
ejpam-2335	179	19	x)v	x)v	PUNCT
ejpam-2335	179	20	dm	dm	X
ejpam-2335	179	21	(	(	PUNCT
ejpam-2335	179	22	t)φm	t)φm	PROPN
ejpam-2335	179	23	(	(	PUNCT
ejpam-2335	179	24	t)−φt	t)−φt	X
ejpam-2335	179	25	n	n	CCONJ
ejpam-2335	179	26	(	(	PUNCT
ejpam-2335	179	27	x)(pn	x)(pn	X
ejpam-2335	179	28	+	+	CCONJ
ejpam-2335	179	29	d2	d2	PROPN
ejpam-2335	179	30	n	n	CCONJ
ejpam-2335	179	31	(	(	PUNCT
ejpam-2335	179	32	x	x	NOUN
ejpam-2335	179	33	)	)	PUNCT
ejpam-2335	179	34	)	)	PUNCT
ejpam-2335	180	1	t	t	PROPN
ejpam-2335	180	2	vφm	vφm	NOUN
ejpam-2335	180	3	(	(	PUNCT
ejpam-2335	180	4	t	t	NOUN
ejpam-2335	180	5	)	)	PUNCT
ejpam-2335	180	6	+	+	NUM
ejpam-2335	180	7	b2φt	b2φt	X
ejpam-2335	180	8	n	n	CCONJ
ejpam-2335	180	9	(	(	PUNCT
ejpam-2335	180	10	x)vφm	x)vφm	PROPN
ejpam-2335	180	11	(	(	PUNCT
ejpam-2335	180	12	t	t	PROPN
ejpam-2335	180	13	)	)	PUNCT
ejpam-2335	180	14	=	=	NOUN
ejpam-2335	180	15	0	0	X
ejpam-2335	180	16	.	.	PUNCT
ejpam-2335	180	17	(	(	PUNCT
ejpam-2335	180	18	32	32	NUM
ejpam-2335	180	19	)	)	PUNCT
ejpam-2335	180	20	and	and	CCONJ
ejpam-2335	180	21	using	use	VERB
ejpam-2335	180	22	(	(	PUNCT
ejpam-2335	180	23	29	29	NUM
ejpam-2335	180	24	)	)	PUNCT
ejpam-2335	180	25	in	in	ADP
ejpam-2335	180	26	(	(	PUNCT
ejpam-2335	180	27	23)-(24	23)-(24	NUM
ejpam-2335	180	28	)	)	PUNCT
ejpam-2335	180	29	yields	yield	NOUN
ejpam-2335	180	30	:	:	PUNCT
ejpam-2335	180	31	φt	φt	NOUN
ejpam-2335	180	32	n	n	CCONJ
ejpam-2335	180	33	(	(	PUNCT
ejpam-2335	180	34	0)vφm	0)vφm	X
ejpam-2335	180	35	(	(	PUNCT
ejpam-2335	180	36	t)−	t)−	PROPN
ejpam-2335	180	37	g	g	NOUN
ejpam-2335	180	38	′(t	′(t	PROPN
ejpam-2335	180	39	)	)	PUNCT
ejpam-2335	180	40	=	=	SYM
ejpam-2335	180	41	0	0	NUM
ejpam-2335	180	42	,	,	PUNCT
ejpam-2335	180	43	(	(	PUNCT
ejpam-2335	180	44	33	33	NUM
ejpam-2335	180	45	)	)	PUNCT
ejpam-2335	180	46	φt	φt	NOUN
ejpam-2335	180	47	n	n	PROPN
ejpam-2335	180	48	(	(	PUNCT
ejpam-2335	180	49	1)vφm	1)vφm	NUM
ejpam-2335	180	50	(	(	PUNCT
ejpam-2335	180	51	t)−	t)−	PROPN
ejpam-2335	180	52	h′(t	h′(t	ADJ
ejpam-2335	180	53	)	)	PUNCT
ejpam-2335	180	54	=	=	SYM
ejpam-2335	180	55	0	0	X
ejpam-2335	180	56	.	.	PUNCT
ejpam-2335	181	1	(	(	PUNCT
ejpam-2335	181	2	34	34	NUM
ejpam-2335	181	3	)	)	PUNCT
ejpam-2335	181	4	the	the	DET
ejpam-2335	181	5	collocation	collocation	NOUN
ejpam-2335	181	6	technique	technique	NOUN
ejpam-2335	181	7	is	be	AUX
ejpam-2335	181	8	used	use	VERB
ejpam-2335	181	9	for	for	ADP
ejpam-2335	181	10	finding	find	VERB
ejpam-2335	181	11	the	the	DET
ejpam-2335	181	12	unknown	unknown	ADJ
ejpam-2335	181	13	matrix	matrix	NOUN
ejpam-2335	181	14	v	v	NOUN
ejpam-2335	181	15	.	.	PUNCT
ejpam-2335	182	1	we	we	PRON
ejpam-2335	182	2	collocate	collocate	VERB
ejpam-2335	182	3	(	(	PUNCT
ejpam-2335	182	4	32	32	NUM
ejpam-2335	182	5	)	)	PUNCT
ejpam-2335	182	6	in	in	ADP
ejpam-2335	182	7	(	(	PUNCT
ejpam-2335	182	8	n	n	CCONJ
ejpam-2335	182	9	−	−	NUM
ejpam-2335	182	10	2)×m	2)×m	NUM
ejpam-2335	182	11	points	point	NOUN
ejpam-2335	182	12	ω1	ω1	PROPN
ejpam-2335	182	13	=	=	SYM
ejpam-2335	182	14	{	{	PUNCT
ejpam-2335	182	15	(	(	PUNCT
ejpam-2335	182	16	xk	xk	INTJ
ejpam-2335	182	17	,	,	PUNCT
ejpam-2335	182	18	ts)|k	ts)|k	NOUN
ejpam-2335	182	19	=	=	PUNCT
ejpam-2335	182	20	2,3	2,3	NUM
ejpam-2335	182	21	,	,	PUNCT
ejpam-2335	182	22	.	.	PUNCT
ejpam-2335	182	23	.	.	PUNCT
ejpam-2335	183	1	.	.	PUNCT
ejpam-2335	184	1	,	,	PUNCT
ejpam-2335	185	1	n	n	CCONJ
ejpam-2335	186	1	−	−	PROPN
ejpam-2335	186	2	1	1	NUM
ejpam-2335	186	3	,	,	PUNCT
ejpam-2335	186	4	s	s	NOUN
ejpam-2335	186	5	=	=	NOUN
ejpam-2335	186	6	1,2	1,2	NUM
ejpam-2335	186	7	,	,	PUNCT
ejpam-2335	186	8	.	.	PUNCT
ejpam-2335	186	9	.	.	PUNCT
ejpam-2335	187	1	.	.	PUNCT
ejpam-2335	188	1	,	,	PUNCT
ejpam-2335	188	2	m	m	VERB
ejpam-2335	188	3	}	}	PUNCT
ejpam-2335	188	4	,	,	PUNCT
ejpam-2335	188	5	we	we	PRON
ejpam-2335	188	6	get	get	VERB
ejpam-2335	188	7	:	:	PUNCT
ejpam-2335	188	8	φt	φt	NOUN
ejpam-2335	188	9	n	n	PROPN
ejpam-2335	188	10	(	(	PUNCT
ejpam-2335	188	11	xk)v	xk)v	PROPN
ejpam-2335	188	12	dm	dm	PROPN
ejpam-2335	188	13	(	(	PUNCT
ejpam-2335	188	14	ts)φm	ts)φm	PROPN
ejpam-2335	188	15	(	(	PUNCT
ejpam-2335	188	16	ts)−φt	ts)−φt	NOUN
ejpam-2335	188	17	n	n	CCONJ
ejpam-2335	188	18	(	(	PUNCT
ejpam-2335	188	19	xk)(pn+d2	xk)(pn+d2	PROPN
ejpam-2335	188	20	n	n	CCONJ
ejpam-2335	188	21	(	(	PUNCT
ejpam-2335	188	22	xk	xk	PROPN
ejpam-2335	188	23	)	)	PUNCT
ejpam-2335	188	24	)	)	PUNCT
ejpam-2335	189	1	t	t	PROPN
ejpam-2335	189	2	vφm	vφm	NOUN
ejpam-2335	189	3	(	(	PUNCT
ejpam-2335	189	4	ts)+b2φt	ts)+b2φt	NOUN
ejpam-2335	189	5	n	n	CCONJ
ejpam-2335	189	6	(	(	PUNCT
ejpam-2335	189	7	xk)vφm	xk)vφm	X
ejpam-2335	189	8	(	(	PUNCT
ejpam-2335	189	9	ts	ts	NOUN
ejpam-2335	189	10	)	)	PUNCT
ejpam-2335	189	11	=	=	SYM
ejpam-2335	189	12	0	0	NUM
ejpam-2335	189	13	;	;	PUNCT
ejpam-2335	189	14	(	(	PUNCT
ejpam-2335	189	15	xk	xk	INTJ
ejpam-2335	189	16	,	,	PUNCT
ejpam-2335	189	17	ts	ts	NOUN
ejpam-2335	189	18	)	)	PUNCT
ejpam-2335	189	19	∈	∈	PROPN
ejpam-2335	189	20	ω1	ω1	PROPN
ejpam-2335	189	21	.	.	PUNCT
ejpam-2335	189	22	(	(	PUNCT
ejpam-2335	189	23	35	35	NUM
ejpam-2335	189	24	)	)	PUNCT
ejpam-2335	189	25	now	now	ADV
ejpam-2335	189	26	,	,	PUNCT
ejpam-2335	189	27	collocation	collocation	NOUN
ejpam-2335	189	28	(	(	PUNCT
ejpam-2335	189	29	33	33	NUM
ejpam-2335	189	30	)	)	PUNCT
ejpam-2335	189	31	and(34	and(34	NOUN
ejpam-2335	189	32	)	)	PUNCT
ejpam-2335	189	33	in	in	ADP
ejpam-2335	189	34	m	m	PROPN
ejpam-2335	189	35	points	point	NOUN
ejpam-2335	189	36	ω2	ω2	ADJ
ejpam-2335	189	37	=	=	SYM
ejpam-2335	189	38	{	{	PUNCT
ejpam-2335	189	39	(	(	PUNCT
ejpam-2335	189	40	xk	xk	INTJ
ejpam-2335	189	41	,	,	PUNCT
ejpam-2335	189	42	ts)|k	ts)|k	PRON
ejpam-2335	189	43	=	=	NOUN
ejpam-2335	189	44	1	1	NUM
ejpam-2335	189	45	,	,	PUNCT
ejpam-2335	189	46	s	s	NOUN
ejpam-2335	189	47	=	=	NOUN
ejpam-2335	189	48	1,2	1,2	NUM
ejpam-2335	189	49	,	,	PUNCT
ejpam-2335	189	50	.	.	PUNCT
ejpam-2335	189	51	.	.	PUNCT
ejpam-2335	189	52	.	.	PUNCT
ejpam-2335	190	1	,	,	PUNCT
ejpam-2335	190	2	m	m	VERB
ejpam-2335	190	3	}	}	PUNCT
ejpam-2335	190	4	and	and	CCONJ
ejpam-2335	190	5	ω3	ω3	NOUN
ejpam-2335	190	6	=	=	SYM
ejpam-2335	190	7	{	{	PUNCT
ejpam-2335	190	8	(	(	PUNCT
ejpam-2335	190	9	xk	xk	INTJ
ejpam-2335	190	10	,	,	PUNCT
ejpam-2335	190	11	ts)|k	ts)|k	NOUN
ejpam-2335	190	12	=	=	SYM
ejpam-2335	190	13	n	n	X
ejpam-2335	190	14	,	,	PUNCT
ejpam-2335	190	15	s	s	NOUN
ejpam-2335	190	16	=	=	NOUN
ejpam-2335	190	17	1,2	1,2	NUM
ejpam-2335	190	18	,	,	PUNCT
ejpam-2335	190	19	.	.	PUNCT
ejpam-2335	190	20	.	.	PUNCT
ejpam-2335	191	1	.	.	PUNCT
ejpam-2335	192	1	,	,	PUNCT
ejpam-2335	192	2	m	m	VERB
ejpam-2335	192	3	}	}	PUNCT
ejpam-2335	192	4	,	,	PUNCT
ejpam-2335	192	5	respectively	respectively	ADV
ejpam-2335	192	6	,	,	PUNCT
ejpam-2335	192	7	yields	yield	VERB
ejpam-2335	192	8	:	:	PUNCT
ejpam-2335	192	9	φt	φt	NOUN
ejpam-2335	192	10	n	n	CCONJ
ejpam-2335	192	11	(	(	PUNCT
ejpam-2335	192	12	0)vφm	0)vφm	X
ejpam-2335	192	13	(	(	PUNCT
ejpam-2335	192	14	ts)−	ts)−	X
ejpam-2335	192	15	g	g	PROPN
ejpam-2335	192	16	′(ts	′(ts	PROPN
ejpam-2335	192	17	)	)	PUNCT
ejpam-2335	192	18	=	=	SYM
ejpam-2335	192	19	0	0	NUM
ejpam-2335	192	20	;	;	PUNCT
ejpam-2335	192	21	(	(	PUNCT
ejpam-2335	192	22	xk	xk	INTJ
ejpam-2335	192	23	,	,	PUNCT
ejpam-2335	192	24	ts	ts	NOUN
ejpam-2335	192	25	)	)	PUNCT
ejpam-2335	192	26	∈	∈	PROPN
ejpam-2335	192	27	ω2	ω2	NOUN
ejpam-2335	192	28	(	(	PUNCT
ejpam-2335	192	29	36	36	NUM
ejpam-2335	192	30	)	)	PUNCT
ejpam-2335	192	31	φt	φt	NOUN
ejpam-2335	192	32	n	n	PROPN
ejpam-2335	192	33	(	(	PUNCT
ejpam-2335	192	34	1)vφm	1)vφm	NUM
ejpam-2335	192	35	(	(	PUNCT
ejpam-2335	192	36	ts)−	ts)−	NUM
ejpam-2335	192	37	h′(ts	h′(ts	PROPN
ejpam-2335	192	38	)	)	PUNCT
ejpam-2335	192	39	=	=	SYM
ejpam-2335	192	40	0	0	NUM
ejpam-2335	192	41	;	;	PUNCT
ejpam-2335	192	42	(	(	PUNCT
ejpam-2335	192	43	xk	xk	INTJ
ejpam-2335	192	44	,	,	PUNCT
ejpam-2335	192	45	ts	ts	NOUN
ejpam-2335	192	46	)	)	PUNCT
ejpam-2335	192	47	∈	∈	PROPN
ejpam-2335	192	48	ω3	ω3	NOUN
ejpam-2335	192	49	(	(	PUNCT
ejpam-2335	192	50	37	37	NUM
ejpam-2335	192	51	)	)	PUNCT
ejpam-2335	192	52	equations	equation	NOUN
ejpam-2335	192	53	(	(	PUNCT
ejpam-2335	192	54	35)-(37	35)-(37	X
ejpam-2335	192	55	)	)	PUNCT
ejpam-2335	192	56	give	give	VERB
ejpam-2335	192	57	a	a	DET
ejpam-2335	192	58	n	n	NUM
ejpam-2335	192	59	×	×	NOUN
ejpam-2335	192	60	m	m	NOUN
ejpam-2335	192	61	system	system	NOUN
ejpam-2335	192	62	of	of	ADP
ejpam-2335	192	63	linear	linear	PROPN
ejpam-2335	192	64	algebraic	algebraic	ADJ
ejpam-2335	192	65	equations	equation	NOUN
ejpam-2335	192	66	with	with	ADP
ejpam-2335	192	67	the	the	DET
ejpam-2335	192	68	n	n	NUM
ejpam-2335	192	69	×	×	NOUN
ejpam-2335	192	70	m	m	VERB
ejpam-2335	192	71	unknown	unknown	ADJ
ejpam-2335	192	72	coefficients	coefficient	NOUN
ejpam-2335	192	73	vi	vi	PROPN
ejpam-2335	192	74	j	j	PROPN
ejpam-2335	192	75	.	.	PUNCT
ejpam-2335	193	1	solving	solve	VERB
ejpam-2335	193	2	this	this	DET
ejpam-2335	193	3	system	system	NOUN
ejpam-2335	193	4	,	,	PUNCT
ejpam-2335	193	5	the	the	DET
ejpam-2335	193	6	unknown	unknown	ADJ
ejpam-2335	193	7	function	function	NOUN
ejpam-2335	193	8	of	of	ADP
ejpam-2335	193	9	v(x	v(x	PROPN
ejpam-2335	193	10	,	,	PUNCT
ejpam-2335	193	11	t	t	PROPN
ejpam-2335	193	12	)	)	PUNCT
ejpam-2335	193	13	on	on	ADP
ejpam-2335	193	14	t	t	PROPN
ejpam-2335	193	15	∈	∈	PROPN
ejpam-2335	194	1	[	[	X
ejpam-2335	194	2	0,β	0,β	X
ejpam-2335	194	3	]	]	X
ejpam-2335	194	4	can	can	AUX
ejpam-2335	194	5	be	be	AUX
ejpam-2335	194	6	found	find	VERB
ejpam-2335	194	7	.	.	PUNCT
ejpam-2335	195	1	4.2	4.2	NUM
ejpam-2335	195	2	.	.	PUNCT
ejpam-2335	195	3	application	application	NOUN
ejpam-2335	195	4	of	of	ADP
ejpam-2335	195	5	ga	ga	PROPN
ejpam-2335	195	6	-	-	NOUN
ejpam-2335	195	7	rbfs	rbfs	NOUN
ejpam-2335	195	8	in	in	ADP
ejpam-2335	195	9	the	the	DET
ejpam-2335	195	10	hyperbolic	hyperbolic	ADJ
ejpam-2335	195	11	problem	problem	NOUN
ejpam-2335	195	12	(	(	PUNCT
ejpam-2335	195	13	25)-(28	25)-(28	NUM
ejpam-2335	195	14	)	)	PUNCT
ejpam-2335	195	15	now	now	ADV
ejpam-2335	195	16	,	,	PUNCT
ejpam-2335	195	17	let	let	VERB
ejpam-2335	195	18	x	x	PRON
ejpam-2335	195	19	i	i	NOUN
ejpam-2335	195	20	=	=	PUNCT
ejpam-2335	195	21	i−1	i−1	PROPN
ejpam-2335	195	22	n−1	n−1	PROPN
ejpam-2335	195	23	;	;	PUNCT
ejpam-2335	196	1	i	i	NOUN
ejpam-2335	196	2	=	=	SYM
ejpam-2335	196	3	1,2	1,2	NUM
ejpam-2335	196	4	,	,	PUNCT
ejpam-2335	196	5	.	.	PUNCT
ejpam-2335	196	6	.	.	PUNCT
ejpam-2335	197	1	.	.	PUNCT
ejpam-2335	198	1	,	,	PUNCT
ejpam-2335	198	2	n	n	CCONJ
ejpam-2335	198	3	,	,	PUNCT
ejpam-2335	198	4	and	and	CCONJ
ejpam-2335	198	5	t	t	X
ejpam-2335	198	6	j	j	PROPN
ejpam-2335	199	1	=	=	SYM
ejpam-2335	199	2	−α	−α	PROPN
ejpam-2335	199	3	j−1	j−1	PROPN
ejpam-2335	199	4	m−1	m−1	PROPN
ejpam-2335	199	5	,	,	PUNCT
ejpam-2335	199	6	j	j	PROPN
ejpam-2335	199	7	=	=	SYM
ejpam-2335	199	8	1,2	1,2	NUM
ejpam-2335	199	9	,	,	PUNCT
ejpam-2335	199	10	.	.	PUNCT
ejpam-2335	199	11	.	.	PUNCT
ejpam-2335	199	12	.	.	PUNCT
ejpam-2335	200	1	,	,	PUNCT
ejpam-2335	200	2	m	m	VERB
ejpam-2335	200	3	.	.	PUNCT
ejpam-2335	201	1	the	the	DET
ejpam-2335	201	2	unknown	unknown	ADJ
ejpam-2335	201	3	function	function	NOUN
ejpam-2335	201	4	v(x	v(x	PROPN
ejpam-2335	201	5	,	,	PUNCT
ejpam-2335	201	6	t	t	PROPN
ejpam-2335	201	7	)	)	PUNCT
ejpam-2335	201	8	in	in	ADP
ejpam-2335	201	9	(	(	PUNCT
ejpam-2335	201	10	25)-(28	25)-(28	NUM
ejpam-2335	201	11	)	)	PUNCT
ejpam-2335	201	12	can	can	AUX
ejpam-2335	201	13	be	be	AUX
ejpam-2335	201	14	approximated	approximate	VERB
ejpam-2335	201	15	as	as	ADP
ejpam-2335	201	16	:	:	PUNCT
ejpam-2335	201	17	v(x	v(x	PROPN
ejpam-2335	201	18	,	,	PUNCT
ejpam-2335	201	19	t)≃	t)≃	ADP
ejpam-2335	201	20	n	n	PRON
ejpam-2335	201	21	∑	∑	ADV
ejpam-2335	201	22	i=1	i=1	PROPN
ejpam-2335	201	23	m	m	VERB
ejpam-2335	201	24	∑	∑	ADJ
ejpam-2335	201	25	j=1	j=1	PROPN
ejpam-2335	201	26	wi	wi	PROPN
ejpam-2335	201	27	jφi	jφi	PROPN
ejpam-2335	201	28	j(x	j(x	PROPN
ejpam-2335	201	29	,	,	PUNCT
ejpam-2335	201	30	t	t	PROPN
ejpam-2335	201	31	)	)	PUNCT
ejpam-2335	201	32	=	=	SYM
ejpam-2335	202	1	n	n	CCONJ
ejpam-2335	202	2	∑	∑	PROPN
ejpam-2335	202	3	i=1	i=1	PROPN
ejpam-2335	202	4	m	m	VERB
ejpam-2335	202	5	∑	∑	PUNCT
ejpam-2335	202	6	j=1	j=1	PROPN
ejpam-2335	202	7	wi	wi	PROPN
ejpam-2335	202	8	je	je	PROPN
ejpam-2335	203	1	−ǫ2((x−x	−ǫ2((x−x	PROPN
ejpam-2335	203	2	i	i	PROPN
ejpam-2335	203	3	)	)	PUNCT
ejpam-2335	203	4	2)+(t−t	2)+(t−t	NUM
ejpam-2335	203	5	j	j	NOUN
ejpam-2335	203	6	)	)	PUNCT
ejpam-2335	203	7	2	2	NUM
ejpam-2335	203	8	)	)	PUNCT
ejpam-2335	203	9	=	=	SYM
ejpam-2335	204	1	n	n	CCONJ
ejpam-2335	204	2	∑	∑	PROPN
ejpam-2335	204	3	i=1	i=1	PROPN
ejpam-2335	204	4	m	m	VERB
ejpam-2335	204	5	∑	∑	ADJ
ejpam-2335	204	6	j=1	j=1	PROPN
ejpam-2335	204	7	wi	wi	PROPN
ejpam-2335	204	8	jφi(x)φ	jφi(x)φ	PROPN
ejpam-2335	204	9	j(t	j(t	PROPN
ejpam-2335	204	10	)	)	PUNCT
ejpam-2335	205	1	=	=	NOUN
ejpam-2335	205	2	φt	φt	NOUN
ejpam-2335	205	3	n	n	NUM
ejpam-2335	205	4	(	(	PUNCT
ejpam-2335	205	5	x)wφm	x)wφm	PROPN
ejpam-2335	205	6	(	(	PUNCT
ejpam-2335	205	7	t	t	PROPN
ejpam-2335	205	8	)	)	PUNCT
ejpam-2335	205	9	,	,	PUNCT
ejpam-2335	205	10	(	(	PUNCT
ejpam-2335	205	11	38	38	NUM
ejpam-2335	205	12	)	)	PUNCT
ejpam-2335	205	13	f.	f.	PROPN
ejpam-2335	205	14	parzlivand	parzlivand	PROPN
ejpam-2335	205	15	,	,	PUNCT
ejpam-2335	205	16	a.	a.	NOUN
ejpam-2335	205	17	shahrezaee	shahrezaee	PROPN
ejpam-2335	205	18	/	/	SYM
ejpam-2335	205	19	eur	eur	PROPN
ejpam-2335	205	20	.	.	PUNCT
ejpam-2335	206	1	j.	j.	PROPN
ejpam-2335	206	2	pure	pure	PROPN
ejpam-2335	206	3	appl	appl	PROPN
ejpam-2335	206	4	.	.	PROPN
ejpam-2335	206	5	math	math	PROPN
ejpam-2335	206	6	,	,	PUNCT
ejpam-2335	206	7	8	8	NUM
ejpam-2335	206	8	(	(	PUNCT
ejpam-2335	206	9	2015	2015	NUM
ejpam-2335	206	10	)	)	PUNCT
ejpam-2335	206	11	,	,	PUNCT
ejpam-2335	206	12	239	239	NUM
ejpam-2335	206	13	-	-	SYM
ejpam-2335	206	14	254	254	NUM
ejpam-2335	206	15	246	246	NUM
ejpam-2335	206	16	where	where	SCONJ
ejpam-2335	206	17	φi(x	φi(x	NUM
ejpam-2335	206	18	)	)	PUNCT
ejpam-2335	206	19	is	be	AUX
ejpam-2335	206	20	the	the	DET
ejpam-2335	206	21	ga	ga	PROPN
ejpam-2335	206	22	-	-	PUNCT
ejpam-2335	206	23	rbf	rbf	PROPN
ejpam-2335	206	24	on	on	ADP
ejpam-2335	206	25	[	[	X
ejpam-2335	206	26	0,1	0,1	NUM
ejpam-2335	206	27	]	]	PUNCT
ejpam-2335	206	28	,	,	PUNCT
ejpam-2335	206	29	φ	φ	PROPN
ejpam-2335	206	30	j(t	j(t	PROPN
ejpam-2335	206	31	)	)	PUNCT
ejpam-2335	206	32	is	be	AUX
ejpam-2335	206	33	the	the	DET
ejpam-2335	206	34	ga	ga	PROPN
ejpam-2335	206	35	-	-	PUNCT
ejpam-2335	206	36	rbf	rbf	PROPN
ejpam-2335	206	37	on	on	ADP
ejpam-2335	206	38	[	[	X
ejpam-2335	206	39	−α	−α	NOUN
ejpam-2335	206	40	,	,	PUNCT
ejpam-2335	206	41	0	0	NUM
ejpam-2335	206	42	]	]	PUNCT
ejpam-2335	206	43	and	and	CCONJ
ejpam-2335	206	44	the	the	DET
ejpam-2335	206	45	unknown	unknown	ADJ
ejpam-2335	206	46	matrix	matrix	NOUN
ejpam-2335	206	47	w	w	NOUN
ejpam-2335	206	48	is	be	AUX
ejpam-2335	206	49	n	n	PRON
ejpam-2335	206	50	×m	×m	NOUN
ejpam-2335	206	51	and	and	CCONJ
ejpam-2335	206	52	can	can	AUX
ejpam-2335	206	53	be	be	AUX
ejpam-2335	206	54	shown	show	VERB
ejpam-2335	206	55	as	as	ADP
ejpam-2335	206	56	:	:	PUNCT
ejpam-2335	206	57			NOUN
ejpam-2335	206	58			ADJ
ejpam-2335	206	59			ADJ
ejpam-2335	206	60			ADJ
ejpam-2335	206	61			NUM
ejpam-2335	206	62	w11	w11	PROPN
ejpam-2335	206	63	w12	w12	PROPN
ejpam-2335	206	64	·	·	PUNCT
ejpam-2335	206	65	·	·	PUNCT
ejpam-2335	206	66	·	·	PUNCT
ejpam-2335	206	67	w1	w1	NOUN
ejpam-2335	206	68	m	m	PROPN
ejpam-2335	206	69	w21	w21	PROPN
ejpam-2335	206	70	w22	w22	PROPN
ejpam-2335	206	71	·	·	PUNCT
ejpam-2335	206	72	·	·	PUNCT
ejpam-2335	206	73	·	·	PUNCT
ejpam-2335	206	74	w2	w2	NOUN
ejpam-2335	206	75	m	m	PROPN
ejpam-2335	206	76	...	...	PUNCT
ejpam-2335	206	77	...	...	PUNCT
ejpam-2335	206	78	.	.	PUNCT
ejpam-2335	206	79	.	.	PUNCT
ejpam-2335	207	1	.	.	PUNCT
ejpam-2335	208	1	...	...	PUNCT
ejpam-2335	208	2	wn1	wn1	PRON
ejpam-2335	208	3	wn2	wn2	NOUN
ejpam-2335	208	4	·	·	PUNCT
ejpam-2335	208	5	·	·	PUNCT
ejpam-2335	208	6	·	·	PUNCT
ejpam-2335	209	1	wn	wn	INTJ
ejpam-2335	209	2	m	m	PROPN
ejpam-2335	209	3			PROPN
ejpam-2335	209	4			PROPN
ejpam-2335	209	5			PROPN
ejpam-2335	209	6			PROPN
ejpam-2335	209	7			PROPN
ejpam-2335	209	8	by	by	ADP
ejpam-2335	209	9	using	use	VERB
ejpam-2335	209	10	(	(	PUNCT
ejpam-2335	209	11	16	16	NUM
ejpam-2335	209	12	)	)	PUNCT
ejpam-2335	209	13	and	and	CCONJ
ejpam-2335	209	14	(	(	PUNCT
ejpam-2335	209	15	30	30	X
ejpam-2335	209	16	)	)	PUNCT
ejpam-2335	209	17	we	we	PRON
ejpam-2335	209	18	have	have	VERB
ejpam-2335	209	19	:	:	PUNCT
ejpam-2335	209	20	vt	vt	PROPN
ejpam-2335	209	21	t(x	t(x	PROPN
ejpam-2335	209	22	,	,	PUNCT
ejpam-2335	209	23	t	t	PROPN
ejpam-2335	209	24	)	)	PUNCT
ejpam-2335	209	25	=	=	SYM
ejpam-2335	209	26	∂	∂	NUM
ejpam-2335	209	27	2	2	NUM
ejpam-2335	209	28	∂	∂	NUM
ejpam-2335	209	29	t2	t2	PROPN
ejpam-2335	209	30	φt	φt	NOUN
ejpam-2335	209	31	n	n	PROPN
ejpam-2335	209	32	(	(	PUNCT
ejpam-2335	209	33	x)wφm	x)wφm	PROPN
ejpam-2335	209	34	(	(	PUNCT
ejpam-2335	209	35	t	t	NOUN
ejpam-2335	209	36	)	)	PUNCT
ejpam-2335	209	37	=	=	PUNCT
ejpam-2335	210	1	φ	φ	PROPN
ejpam-2335	210	2	t	t	PROPN
ejpam-2335	210	3	n	n	PROPN
ejpam-2335	210	4	(	(	PUNCT
ejpam-2335	210	5	x)wφ	x)wφ	PROPN
ejpam-2335	210	6	′′	′′	PROPN
ejpam-2335	210	7	m	m	PROPN
ejpam-2335	210	8	(	(	PUNCT
ejpam-2335	210	9	t	t	PROPN
ejpam-2335	210	10	)	)	PUNCT
ejpam-2335	210	11	=	=	PUNCT
ejpam-2335	211	1	φ	φ	PROPN
ejpam-2335	211	2	t	t	PROPN
ejpam-2335	211	3	n	n	PROPN
ejpam-2335	211	4	(	(	PUNCT
ejpam-2335	211	5	x)w	x)w	X
ejpam-2335	211	6	(	(	PUNCT
ejpam-2335	211	7	pm	pm	NOUN
ejpam-2335	211	8	+	+	CCONJ
ejpam-2335	211	9	d2	d2	PROPN
ejpam-2335	211	10	m	m	PROPN
ejpam-2335	211	11	(	(	PUNCT
ejpam-2335	211	12	t))φm	t))φm	PROPN
ejpam-2335	211	13	(	(	PUNCT
ejpam-2335	211	14	t	t	PROPN
ejpam-2335	211	15	)	)	PUNCT
ejpam-2335	211	16	.	.	PUNCT
ejpam-2335	212	1	(	(	PUNCT
ejpam-2335	212	2	39	39	NUM
ejpam-2335	212	3	)	)	PUNCT
ejpam-2335	212	4	using	use	VERB
ejpam-2335	212	5	(	(	PUNCT
ejpam-2335	212	6	39	39	NUM
ejpam-2335	212	7	)	)	PUNCT
ejpam-2335	212	8	,	,	PUNCT
ejpam-2335	212	9	(	(	PUNCT
ejpam-2335	212	10	30	30	NUM
ejpam-2335	212	11	)	)	PUNCT
ejpam-2335	212	12	and	and	CCONJ
ejpam-2335	212	13	(	(	PUNCT
ejpam-2335	212	14	31	31	NUM
ejpam-2335	212	15	)	)	PUNCT
ejpam-2335	212	16	in	in	ADP
ejpam-2335	212	17	(	(	PUNCT
ejpam-2335	212	18	25	25	NUM
ejpam-2335	212	19	)	)	PUNCT
ejpam-2335	212	20	,	,	PUNCT
ejpam-2335	212	21	we	we	PRON
ejpam-2335	212	22	can	can	AUX
ejpam-2335	212	23	write	write	VERB
ejpam-2335	212	24	:	:	PUNCT
ejpam-2335	212	25	φt	φt	NOUN
ejpam-2335	212	26	n	n	X
ejpam-2335	212	27	(	(	PUNCT
ejpam-2335	212	28	x)w	x)w	X
ejpam-2335	212	29	(	(	PUNCT
ejpam-2335	212	30	pm	pm	NOUN
ejpam-2335	212	31	+	+	CCONJ
ejpam-2335	212	32	d2	d2	PROPN
ejpam-2335	212	33	m	m	PROPN
ejpam-2335	212	34	(	(	PUNCT
ejpam-2335	212	35	t))φm	t))φm	PROPN
ejpam-2335	212	36	(	(	PUNCT
ejpam-2335	212	37	t)−φt	t)−φt	X
ejpam-2335	212	38	n	n	CCONJ
ejpam-2335	212	39	(	(	PUNCT
ejpam-2335	212	40	x)(pn	x)(pn	X
ejpam-2335	212	41	+	+	CCONJ
ejpam-2335	212	42	d2	d2	PROPN
ejpam-2335	212	43	n	n	CCONJ
ejpam-2335	212	44	(	(	PUNCT
ejpam-2335	212	45	x	x	NOUN
ejpam-2335	212	46	)	)	PUNCT
ejpam-2335	212	47	)	)	PUNCT
ejpam-2335	213	1	t	t	PROPN
ejpam-2335	213	2	wφm	wφm	PROPN
ejpam-2335	213	3	(	(	PUNCT
ejpam-2335	213	4	t	t	NOUN
ejpam-2335	213	5	)	)	PUNCT
ejpam-2335	213	6	+	+	NUM
ejpam-2335	213	7	b2φt	b2φt	SYM
ejpam-2335	213	8	n	n	CCONJ
ejpam-2335	213	9	(	(	PUNCT
ejpam-2335	213	10	x)wφm	x)wφm	PROPN
ejpam-2335	213	11	(	(	PUNCT
ejpam-2335	213	12	t	t	NOUN
ejpam-2335	213	13	)	)	PUNCT
ejpam-2335	213	14	=	=	NOUN
ejpam-2335	214	1	0	0	X
ejpam-2335	214	2	.	.	PUNCT
ejpam-2335	215	1	(	(	PUNCT
ejpam-2335	215	2	40	40	NUM
ejpam-2335	215	3	)	)	PUNCT
ejpam-2335	215	4	and	and	CCONJ
ejpam-2335	215	5	using	use	VERB
ejpam-2335	215	6	(	(	PUNCT
ejpam-2335	215	7	39	39	NUM
ejpam-2335	215	8	)	)	PUNCT
ejpam-2335	215	9	in	in	ADP
ejpam-2335	215	10	(	(	PUNCT
ejpam-2335	215	11	26)-(28	26)-(28	NOUN
ejpam-2335	215	12	)	)	PUNCT
ejpam-2335	215	13	yields	yield	VERB
ejpam-2335	215	14	:	:	PUNCT
ejpam-2335	215	15	φt	φt	NOUN
ejpam-2335	215	16	n	n	X
ejpam-2335	215	17	(	(	PUNCT
ejpam-2335	215	18	x)vφm	x)vφm	PROPN
ejpam-2335	215	19	(	(	PUNCT
ejpam-2335	215	20	−α)−	−α)−	NOUN
ejpam-2335	215	21	q(x	q(x	NOUN
ejpam-2335	215	22	)	)	PUNCT
ejpam-2335	215	23	=	=	SYM
ejpam-2335	215	24	0	0	NUM
ejpam-2335	215	25	,	,	PUNCT
ejpam-2335	215	26	(	(	PUNCT
ejpam-2335	215	27	41	41	NUM
ejpam-2335	215	28	)	)	PUNCT
ejpam-2335	215	29	φt	φt	NOUN
ejpam-2335	215	30	n	n	PROPN
ejpam-2335	215	31	(	(	PUNCT
ejpam-2335	215	32	0)vφm	0)vφm	X
ejpam-2335	215	33	(	(	PUNCT
ejpam-2335	215	34	t)−	t)−	PROPN
ejpam-2335	215	35	g	g	NOUN
ejpam-2335	215	36	′(t	′(t	PROPN
ejpam-2335	215	37	)	)	PUNCT
ejpam-2335	215	38	=	=	SYM
ejpam-2335	216	1	0	0	NUM
ejpam-2335	216	2	,	,	PUNCT
ejpam-2335	216	3	(	(	PUNCT
ejpam-2335	216	4	42	42	NUM
ejpam-2335	216	5	)	)	PUNCT
ejpam-2335	216	6	φt	φt	NOUN
ejpam-2335	216	7	n	n	PROPN
ejpam-2335	216	8	(	(	PUNCT
ejpam-2335	216	9	1)vφm	1)vφm	NUM
ejpam-2335	216	10	(	(	PUNCT
ejpam-2335	216	11	t)−	t)−	PROPN
ejpam-2335	216	12	h′(t	h′(t	ADJ
ejpam-2335	216	13	)	)	PUNCT
ejpam-2335	216	14	=	=	SYM
ejpam-2335	216	15	0	0	X
ejpam-2335	216	16	.	.	PUNCT
ejpam-2335	217	1	(	(	PUNCT
ejpam-2335	217	2	43	43	NUM
ejpam-2335	217	3	)	)	PUNCT
ejpam-2335	217	4	the	the	DET
ejpam-2335	217	5	collocation	collocation	NOUN
ejpam-2335	217	6	technique	technique	NOUN
ejpam-2335	217	7	is	be	AUX
ejpam-2335	217	8	used	use	VERB
ejpam-2335	217	9	for	for	ADP
ejpam-2335	217	10	finding	find	VERB
ejpam-2335	217	11	unknown	unknown	ADJ
ejpam-2335	217	12	matrix	matrix	NOUN
ejpam-2335	217	13	w	w	NOUN
ejpam-2335	217	14	.	.	PUNCT
ejpam-2335	218	1	we	we	PRON
ejpam-2335	218	2	collocate	collocate	VERB
ejpam-2335	218	3	equation	equation	NOUN
ejpam-2335	218	4	(	(	PUNCT
ejpam-2335	218	5	40	40	NUM
ejpam-2335	218	6	)	)	PUNCT
ejpam-2335	218	7	in	in	ADP
ejpam-2335	218	8	(	(	PUNCT
ejpam-2335	218	9	n	n	CCONJ
ejpam-2335	218	10	−	−	PROPN
ejpam-2335	218	11	2)×	2)×	NUM
ejpam-2335	218	12	(	(	PUNCT
ejpam-2335	218	13	m	m	NOUN
ejpam-2335	218	14	−	−	NUM
ejpam-2335	218	15	1	1	NUM
ejpam-2335	218	16	)	)	PUNCT
ejpam-2335	218	17	points	point	NOUN
ejpam-2335	218	18	γ1	γ1	NOUN
ejpam-2335	218	19	=	=	SYM
ejpam-2335	218	20	{	{	PUNCT
ejpam-2335	218	21	(	(	PUNCT
ejpam-2335	218	22	xk	xk	INTJ
ejpam-2335	218	23	,	,	PUNCT
ejpam-2335	218	24	ts)|k	ts)|k	NOUN
ejpam-2335	218	25	=	=	PUNCT
ejpam-2335	218	26	2,3	2,3	NUM
ejpam-2335	218	27	,	,	PUNCT
ejpam-2335	218	28	.	.	PUNCT
ejpam-2335	218	29	.	.	PUNCT
ejpam-2335	219	1	.	.	PUNCT
ejpam-2335	220	1	,	,	PUNCT
ejpam-2335	221	1	n	n	CCONJ
ejpam-2335	222	1	−	−	PROPN
ejpam-2335	222	2	1	1	NUM
ejpam-2335	222	3	,	,	PUNCT
ejpam-2335	222	4	s	s	PART
ejpam-2335	222	5	=	=	NOUN
ejpam-2335	222	6	2,3	2,3	NUM
ejpam-2335	222	7	,	,	PUNCT
ejpam-2335	222	8	.	.	PUNCT
ejpam-2335	222	9	.	.	PUNCT
ejpam-2335	223	1	.	.	PUNCT
ejpam-2335	224	1	,	,	PUNCT
ejpam-2335	224	2	m	m	VERB
ejpam-2335	224	3	}	}	PUNCT
ejpam-2335	224	4	,	,	PUNCT
ejpam-2335	224	5	we	we	PRON
ejpam-2335	224	6	get	get	VERB
ejpam-2335	224	7	:	:	PUNCT
ejpam-2335	224	8	φt	φt	NOUN
ejpam-2335	224	9	n	n	PROPN
ejpam-2335	224	10	(	(	PUNCT
ejpam-2335	224	11	xk)w	xk)w	PROPN
ejpam-2335	224	12	(	(	PUNCT
ejpam-2335	224	13	pm	pm	NOUN
ejpam-2335	224	14	+	+	CCONJ
ejpam-2335	224	15	d2	d2	PROPN
ejpam-2335	224	16	m	m	PROPN
ejpam-2335	224	17	(	(	PUNCT
ejpam-2335	224	18	ts))φm	ts))φm	NOUN
ejpam-2335	224	19	(	(	PUNCT
ejpam-2335	224	20	ts)−φt	ts)−φt	NOUN
ejpam-2335	224	21	n	n	PRON
ejpam-2335	224	22	(	(	PUNCT
ejpam-2335	224	23	xk)(pn	xk)(pn	PUNCT
ejpam-2335	224	24	+	+	NUM
ejpam-2335	224	25	d2	d2	PROPN
ejpam-2335	224	26	n	n	CCONJ
ejpam-2335	224	27	(	(	PUNCT
ejpam-2335	224	28	xk	xk	PROPN
ejpam-2335	224	29	)	)	PUNCT
ejpam-2335	224	30	)	)	PUNCT
ejpam-2335	225	1	t	t	PROPN
ejpam-2335	225	2	wφm	wφm	NOUN
ejpam-2335	225	3	(	(	PUNCT
ejpam-2335	225	4	ts	ts	NOUN
ejpam-2335	225	5	)	)	PUNCT
ejpam-2335	225	6	+	+	NUM
ejpam-2335	225	7	b2φt	b2φt	X
ejpam-2335	225	8	n	n	CCONJ
ejpam-2335	225	9	(	(	PUNCT
ejpam-2335	225	10	xk)wφm	xk)wφm	X
ejpam-2335	225	11	(	(	PUNCT
ejpam-2335	225	12	ts	ts	NOUN
ejpam-2335	225	13	)	)	PUNCT
ejpam-2335	225	14	=	=	SYM
ejpam-2335	225	15	0	0	NUM
ejpam-2335	225	16	,	,	PUNCT
ejpam-2335	225	17	(	(	PUNCT
ejpam-2335	225	18	44	44	NUM
ejpam-2335	225	19	)	)	PUNCT
ejpam-2335	225	20	for	for	ADP
ejpam-2335	225	21	(	(	PUNCT
ejpam-2335	225	22	xk	xk	PROPN
ejpam-2335	225	23	,	,	PUNCT
ejpam-2335	225	24	ts	ts	NOUN
ejpam-2335	225	25	)	)	PUNCT
ejpam-2335	225	26	∈	∈	PROPN
ejpam-2335	225	27	γ1	γ1	NOUN
ejpam-2335	225	28	.	.	PUNCT
ejpam-2335	226	1	by	by	ADP
ejpam-2335	226	2	collocation	collocation	NOUN
ejpam-2335	226	3	(	(	PUNCT
ejpam-2335	226	4	41	41	NUM
ejpam-2335	226	5	)	)	PUNCT
ejpam-2335	226	6	in	in	ADP
ejpam-2335	226	7	n	n	NUM
ejpam-2335	226	8	points	point	NOUN
ejpam-2335	226	9	γ2	γ2	NOUN
ejpam-2335	226	10	=	=	SYM
ejpam-2335	226	11	{	{	PUNCT
ejpam-2335	226	12	(	(	PUNCT
ejpam-2335	226	13	xk	xk	INTJ
ejpam-2335	226	14	,	,	PUNCT
ejpam-2335	226	15	ts)|k	ts)|k	NOUN
ejpam-2335	226	16	=	=	NOUN
ejpam-2335	226	17	1,2	1,2	NUM
ejpam-2335	226	18	,	,	PUNCT
ejpam-2335	226	19	.	.	PUNCT
ejpam-2335	226	20	.	.	PUNCT
ejpam-2335	226	21	.	.	PUNCT
ejpam-2335	227	1	,	,	PUNCT
ejpam-2335	227	2	n	n	X
ejpam-2335	227	3	,	,	PUNCT
ejpam-2335	227	4	s	s	NOUN
ejpam-2335	227	5	=	=	NOUN
ejpam-2335	227	6	1	1	NUM
ejpam-2335	227	7	}	}	PUNCT
ejpam-2335	227	8	,	,	PUNCT
ejpam-2335	227	9	we	we	PRON
ejpam-2335	227	10	have	have	VERB
ejpam-2335	227	11	:	:	PUNCT
ejpam-2335	227	12	φt	φt	NOUN
ejpam-2335	227	13	n	n	CCONJ
ejpam-2335	227	14	(	(	PUNCT
ejpam-2335	227	15	xk)vφm	xk)vφm	X
ejpam-2335	228	1	(	(	PUNCT
ejpam-2335	228	2	−α)−	−α)−	NOUN
ejpam-2335	228	3	q(xk	q(xk	NOUN
ejpam-2335	228	4	)	)	PUNCT
ejpam-2335	228	5	=	=	SYM
ejpam-2335	228	6	0	0	NUM
ejpam-2335	228	7	;	;	PUNCT
ejpam-2335	228	8	(	(	PUNCT
ejpam-2335	228	9	xk	xk	INTJ
ejpam-2335	228	10	,	,	PUNCT
ejpam-2335	228	11	ts	ts	NOUN
ejpam-2335	228	12	)	)	PUNCT
ejpam-2335	228	13	∈	∈	PROPN
ejpam-2335	228	14	γ2	γ2	NOUN
ejpam-2335	228	15	.	.	PUNCT
ejpam-2335	229	1	(	(	PUNCT
ejpam-2335	229	2	45	45	NUM
ejpam-2335	229	3	)	)	PUNCT
ejpam-2335	229	4	and	and	CCONJ
ejpam-2335	229	5	collocation	collocation	NOUN
ejpam-2335	229	6	(	(	PUNCT
ejpam-2335	229	7	42	42	NUM
ejpam-2335	229	8	)	)	PUNCT
ejpam-2335	229	9	and(43	and(43	PROPN
ejpam-2335	229	10	)	)	PUNCT
ejpam-2335	229	11	in	in	ADP
ejpam-2335	229	12	(	(	PUNCT
ejpam-2335	229	13	m	m	VERB
ejpam-2335	229	14	−	−	NOUN
ejpam-2335	229	15	1	1	NUM
ejpam-2335	229	16	)	)	PUNCT
ejpam-2335	229	17	points	point	NOUN
ejpam-2335	229	18	γ3	γ3	NOUN
ejpam-2335	229	19	=	=	PRON
ejpam-2335	229	20	{	{	PUNCT
ejpam-2335	229	21	(	(	PUNCT
ejpam-2335	229	22	xk	xk	INTJ
ejpam-2335	229	23	,	,	PUNCT
ejpam-2335	229	24	ts)|k	ts)|k	PRON
ejpam-2335	229	25	=	=	NOUN
ejpam-2335	229	26	1	1	NUM
ejpam-2335	229	27	,	,	PUNCT
ejpam-2335	229	28	s	s	PART
ejpam-2335	229	29	=	=	NOUN
ejpam-2335	229	30	2,3	2,3	NUM
ejpam-2335	229	31	,	,	PUNCT
ejpam-2335	229	32	.	.	PUNCT
ejpam-2335	229	33	.	.	PUNCT
ejpam-2335	230	1	.	.	PUNCT
ejpam-2335	231	1	,	,	PUNCT
ejpam-2335	231	2	m	m	VERB
ejpam-2335	231	3	}	}	PUNCT
ejpam-2335	231	4	and	and	CCONJ
ejpam-2335	231	5	γ4	γ4	NOUN
ejpam-2335	231	6	=	=	SYM
ejpam-2335	231	7	{	{	PUNCT
ejpam-2335	231	8	(	(	PUNCT
ejpam-2335	231	9	xk	xk	INTJ
ejpam-2335	231	10	,	,	PUNCT
ejpam-2335	231	11	ts)|k	ts)|k	NOUN
ejpam-2335	231	12	=	=	SYM
ejpam-2335	231	13	n	n	X
ejpam-2335	231	14	,	,	PUNCT
ejpam-2335	231	15	s	s	PART
ejpam-2335	231	16	=	=	NOUN
ejpam-2335	231	17	2,3	2,3	NUM
ejpam-2335	231	18	,	,	PUNCT
ejpam-2335	231	19	.	.	PUNCT
ejpam-2335	231	20	.	.	PUNCT
ejpam-2335	232	1	.	.	PUNCT
ejpam-2335	233	1	,	,	PUNCT
ejpam-2335	233	2	m	m	VERB
ejpam-2335	233	3	}	}	PUNCT
ejpam-2335	233	4	,	,	PUNCT
ejpam-2335	233	5	respectively	respectively	ADV
ejpam-2335	233	6	,	,	PUNCT
ejpam-2335	233	7	yields	yield	VERB
ejpam-2335	233	8	:	:	PUNCT
ejpam-2335	233	9	φt	φt	NOUN
ejpam-2335	233	10	n	n	CCONJ
ejpam-2335	233	11	(	(	PUNCT
ejpam-2335	233	12	0)vφm	0)vφm	X
ejpam-2335	233	13	(	(	PUNCT
ejpam-2335	233	14	ts)−	ts)−	X
ejpam-2335	233	15	g	g	PROPN
ejpam-2335	233	16	′(ts	′(ts	PROPN
ejpam-2335	233	17	)	)	PUNCT
ejpam-2335	233	18	=	=	SYM
ejpam-2335	233	19	0	0	NUM
ejpam-2335	233	20	;	;	PUNCT
ejpam-2335	233	21	(	(	PUNCT
ejpam-2335	233	22	xk	xk	INTJ
ejpam-2335	233	23	,	,	PUNCT
ejpam-2335	233	24	ts	ts	NOUN
ejpam-2335	233	25	)	)	PUNCT
ejpam-2335	233	26	∈	∈	PROPN
ejpam-2335	233	27	γ3	γ3	NOUN
ejpam-2335	233	28	,	,	PUNCT
ejpam-2335	233	29	(	(	PUNCT
ejpam-2335	233	30	46	46	NUM
ejpam-2335	233	31	)	)	PUNCT
ejpam-2335	233	32	φt	φt	NOUN
ejpam-2335	233	33	n	n	PROPN
ejpam-2335	233	34	(	(	PUNCT
ejpam-2335	233	35	1)vφm	1)vφm	NUM
ejpam-2335	233	36	(	(	PUNCT
ejpam-2335	233	37	ts)−	ts)−	NUM
ejpam-2335	233	38	h′(ts	h′(ts	PROPN
ejpam-2335	233	39	)	)	PUNCT
ejpam-2335	233	40	=	=	SYM
ejpam-2335	233	41	0	0	NUM
ejpam-2335	233	42	;	;	PUNCT
ejpam-2335	233	43	(	(	PUNCT
ejpam-2335	233	44	xk	xk	INTJ
ejpam-2335	233	45	,	,	PUNCT
ejpam-2335	233	46	ts	ts	NOUN
ejpam-2335	233	47	)	)	PUNCT
ejpam-2335	233	48	∈	∈	PROPN
ejpam-2335	233	49	γ3	γ3	NOUN
ejpam-2335	233	50	.	.	PUNCT
ejpam-2335	234	1	(	(	PUNCT
ejpam-2335	234	2	47	47	NUM
ejpam-2335	234	3	)	)	PUNCT
ejpam-2335	234	4	equations	equation	NOUN
ejpam-2335	234	5	(	(	PUNCT
ejpam-2335	234	6	44)-(47	44)-(47	NOUN
ejpam-2335	234	7	)	)	PUNCT
ejpam-2335	234	8	give	give	VERB
ejpam-2335	234	9	a	a	DET
ejpam-2335	234	10	n	n	NUM
ejpam-2335	234	11	×	×	NOUN
ejpam-2335	234	12	m	m	NOUN
ejpam-2335	234	13	system	system	NOUN
ejpam-2335	234	14	of	of	ADP
ejpam-2335	234	15	linear	linear	PROPN
ejpam-2335	234	16	algebraic	algebraic	ADJ
ejpam-2335	234	17	equations	equation	NOUN
ejpam-2335	234	18	with	with	ADP
ejpam-2335	234	19	the	the	DET
ejpam-2335	234	20	n	n	NUM
ejpam-2335	234	21	×	×	NOUN
ejpam-2335	234	22	m	m	VERB
ejpam-2335	234	23	unknown	unknown	ADJ
ejpam-2335	234	24	coefficients	coefficient	NOUN
ejpam-2335	234	25	wi	wi	PROPN
ejpam-2335	234	26	j	j	PROPN
ejpam-2335	234	27	.	.	PUNCT
ejpam-2335	235	1	solving	solve	VERB
ejpam-2335	235	2	this	this	DET
ejpam-2335	235	3	system	system	NOUN
ejpam-2335	235	4	,	,	PUNCT
ejpam-2335	235	5	the	the	DET
ejpam-2335	235	6	unknown	unknown	ADJ
ejpam-2335	235	7	function	function	NOUN
ejpam-2335	235	8	of	of	ADP
ejpam-2335	235	9	v(x	v(x	PROPN
ejpam-2335	235	10	,	,	PUNCT
ejpam-2335	235	11	t	t	PROPN
ejpam-2335	235	12	)	)	PUNCT
ejpam-2335	235	13	on	on	ADP
ejpam-2335	235	14	t	t	PROPN
ejpam-2335	235	15	∈	∈	PROPN
ejpam-2335	236	1	[	[	X
ejpam-2335	236	2	−α	−α	NOUN
ejpam-2335	236	3	,	,	PUNCT
ejpam-2335	236	4	0	0	NUM
ejpam-2335	236	5	]	]	PUNCT
ejpam-2335	236	6	can	can	AUX
ejpam-2335	236	7	be	be	AUX
ejpam-2335	236	8	found	find	VERB
ejpam-2335	236	9	.	.	PUNCT
ejpam-2335	237	1	f.	f.	PROPN
ejpam-2335	237	2	parzlivand	parzlivand	PROPN
ejpam-2335	237	3	,	,	PUNCT
ejpam-2335	237	4	a.	a.	NOUN
ejpam-2335	237	5	shahrezaee	shahrezaee	PROPN
ejpam-2335	237	6	/	/	SYM
ejpam-2335	237	7	eur	eur	PROPN
ejpam-2335	237	8	.	.	PUNCT
ejpam-2335	238	1	j.	j.	PROPN
ejpam-2335	238	2	pure	pure	PROPN
ejpam-2335	238	3	appl	appl	PROPN
ejpam-2335	238	4	.	.	PROPN
ejpam-2335	238	5	math	math	PROPN
ejpam-2335	238	6	,	,	PUNCT
ejpam-2335	238	7	8	8	NUM
ejpam-2335	238	8	(	(	PUNCT
ejpam-2335	238	9	2015	2015	NUM
ejpam-2335	238	10	)	)	PUNCT
ejpam-2335	238	11	,	,	PUNCT
ejpam-2335	238	12	239	239	NUM
ejpam-2335	238	13	-	-	SYM
ejpam-2335	238	14	254	254	NUM
ejpam-2335	238	15	247	247	NUM
ejpam-2335	238	16	4.3	4.3	NUM
ejpam-2335	238	17	.	.	PUNCT
ejpam-2335	239	1	solve	solve	VERB
ejpam-2335	239	2	u(x	u(x	PROPN
ejpam-2335	239	3	,	,	PUNCT
ejpam-2335	239	4	t	t	PROPN
ejpam-2335	239	5	)	)	PUNCT
ejpam-2335	239	6	,	,	PUNCT
ejpam-2335	239	7	f1(x	f1(x	PROPN
ejpam-2335	239	8	)	)	PUNCT
ejpam-2335	239	9	and	and	CCONJ
ejpam-2335	239	10	f2(x	f2(x	NUM
ejpam-2335	239	11	)	)	PUNCT
ejpam-2335	239	12	from	from	ADP
ejpam-2335	239	13	v(x	v(x	PROPN
ejpam-2335	239	14	,	,	PUNCT
ejpam-2335	239	15	t	t	PROPN
ejpam-2335	239	16	)	)	PUNCT
ejpam-2335	239	17	in	in	ADP
ejpam-2335	239	18	order	order	NOUN
ejpam-2335	239	19	to	to	PART
ejpam-2335	239	20	recover	recover	VERB
ejpam-2335	239	21	u	u	NOUN
ejpam-2335	239	22	from	from	ADP
ejpam-2335	239	23	v	v	NOUN
ejpam-2335	239	24	in	in	ADP
ejpam-2335	239	25	[	[	X
ejpam-2335	239	26	0,β	0,β	NUM
ejpam-2335	239	27	]	]	X
ejpam-2335	239	28	,	,	PUNCT
ejpam-2335	239	29	by	by	ADP
ejpam-2335	239	30	integration	integration	NOUN
ejpam-2335	239	31	both	both	DET
ejpam-2335	239	32	sides	side	NOUN
ejpam-2335	239	33	of	of	ADP
ejpam-2335	239	34	v(x	v(x	PROPN
ejpam-2335	239	35	,	,	PUNCT
ejpam-2335	239	36	t	t	PROPN
ejpam-2335	239	37	)	)	PUNCT
ejpam-2335	239	38	=	=	SYM
ejpam-2335	240	1	ut(x	ut(x	NUM
ejpam-2335	240	2	,	,	PUNCT
ejpam-2335	240	3	t	t	PROPN
ejpam-2335	240	4	)	)	PUNCT
ejpam-2335	240	5	with	with	ADP
ejpam-2335	240	6	respect	respect	NOUN
ejpam-2335	240	7	to	to	ADP
ejpam-2335	240	8	the	the	DET
ejpam-2335	240	9	variable	variable	ADJ
ejpam-2335	240	10	t	t	PROPN
ejpam-2335	240	11	from	from	ADP
ejpam-2335	240	12	t	t	PROPN
ejpam-2335	240	13	to	to	ADP
ejpam-2335	240	14	β	β	PROPN
ejpam-2335	240	15	,	,	PUNCT
ejpam-2335	240	16	we	we	PRON
ejpam-2335	240	17	obtain	obtain	VERB
ejpam-2335	240	18	:	:	PUNCT
ejpam-2335	240	19	u(x	u(x	PROPN
ejpam-2335	240	20	,	,	PUNCT
ejpam-2335	240	21	t	t	PROPN
ejpam-2335	240	22	)	)	PUNCT
ejpam-2335	240	23	=	=	SYM
ejpam-2335	241	1	u(x	u(x	NOUN
ejpam-2335	241	2	,	,	PUNCT
ejpam-2335	241	3	β)−	β)−	PROPN
ejpam-2335	241	4	∫	∫	PROPN
ejpam-2335	241	5	β	β	X
ejpam-2335	241	6	t	t	X
ejpam-2335	241	7	v(x	v(x	PROPN
ejpam-2335	241	8	,	,	PUNCT
ejpam-2335	242	1	s)ds	s)ds	PROPN
ejpam-2335	242	2	=	=	PUNCT
ejpam-2335	242	3	ϕ(x)−	ϕ(x)−	PROPN
ejpam-2335	242	4	∫	∫	PROPN
ejpam-2335	242	5	β	β	X
ejpam-2335	242	6	t	t	PROPN
ejpam-2335	242	7	v(x	v(x	PROPN
ejpam-2335	242	8	,	,	PUNCT
ejpam-2335	242	9	s)ds	s)ds	PROPN
ejpam-2335	242	10	.	.	PUNCT
ejpam-2335	243	1	(	(	PUNCT
ejpam-2335	243	2	48	48	NUM
ejpam-2335	243	3	)	)	PUNCT
ejpam-2335	243	4	and	and	CCONJ
ejpam-2335	243	5	for	for	ADP
ejpam-2335	243	6	recover	recover	NOUN
ejpam-2335	243	7	u	u	NOUN
ejpam-2335	243	8	in	in	ADP
ejpam-2335	243	9	[	[	NOUN
ejpam-2335	243	10	−α	−α	NOUN
ejpam-2335	243	11	,	,	PUNCT
ejpam-2335	243	12	0	0	NUM
ejpam-2335	243	13	]	]	PUNCT
ejpam-2335	243	14	,	,	PUNCT
ejpam-2335	243	15	by	by	ADP
ejpam-2335	243	16	integration	integration	NOUN
ejpam-2335	243	17	both	both	DET
ejpam-2335	243	18	sides	side	NOUN
ejpam-2335	243	19	of	of	ADP
ejpam-2335	243	20	v(x	v(x	PROPN
ejpam-2335	243	21	,	,	PUNCT
ejpam-2335	243	22	t	t	PROPN
ejpam-2335	243	23	)	)	PUNCT
ejpam-2335	243	24	=	=	SYM
ejpam-2335	244	1	ut(x	ut(x	NUM
ejpam-2335	244	2	,	,	PUNCT
ejpam-2335	244	3	t	t	PROPN
ejpam-2335	244	4	)	)	PUNCT
ejpam-2335	244	5	with	with	ADP
ejpam-2335	244	6	respect	respect	NOUN
ejpam-2335	244	7	to	to	ADP
ejpam-2335	244	8	the	the	DET
ejpam-2335	244	9	variable	variable	ADJ
ejpam-2335	244	10	t	t	PROPN
ejpam-2335	244	11	from	from	ADP
ejpam-2335	244	12	−α	−α	PROPN
ejpam-2335	244	13	to	to	ADP
ejpam-2335	244	14	t	t	PROPN
ejpam-2335	244	15	,	,	PUNCT
ejpam-2335	244	16	we	we	PRON
ejpam-2335	244	17	can	can	AUX
ejpam-2335	244	18	write	write	VERB
ejpam-2335	244	19	:	:	PUNCT
ejpam-2335	244	20	u(x	u(x	PROPN
ejpam-2335	244	21	,	,	PUNCT
ejpam-2335	244	22	t	t	PROPN
ejpam-2335	244	23	)	)	PUNCT
ejpam-2335	245	1	=	=	SYM
ejpam-2335	245	2	u(x	u(x	PROPN
ejpam-2335	245	3	,	,	PUNCT
ejpam-2335	245	4	−α	−α	NOUN
ejpam-2335	245	5	)	)	PUNCT
ejpam-2335	246	1	+	+	CCONJ
ejpam-2335	246	2	∫	∫	PROPN
ejpam-2335	246	3	t	t	PROPN
ejpam-2335	246	4	−α	−α	NOUN
ejpam-2335	246	5	v(x	v(x	PROPN
ejpam-2335	246	6	,	,	PUNCT
ejpam-2335	246	7	s)ds	s)ds	PROPN
ejpam-2335	246	8	=	=	SYM
ejpam-2335	246	9	ψ(x	ψ(x	PROPN
ejpam-2335	246	10	)	)	PUNCT
ejpam-2335	247	1	+	+	NUM
ejpam-2335	247	2	∫	∫	PROPN
ejpam-2335	247	3	t	t	PROPN
ejpam-2335	247	4	−α	−α	NOUN
ejpam-2335	247	5	v(x	v(x	PROPN
ejpam-2335	247	6	,	,	PUNCT
ejpam-2335	247	7	s)ds	s)ds	PROPN
ejpam-2335	247	8	.	.	PUNCT
ejpam-2335	248	1	(	(	PUNCT
ejpam-2335	248	2	49	49	NUM
ejpam-2335	248	3	)	)	PUNCT
ejpam-2335	248	4	by	by	ADP
ejpam-2335	248	5	using	use	VERB
ejpam-2335	248	6	(	(	PUNCT
ejpam-2335	248	7	4	4	NUM
ejpam-2335	248	8	)	)	PUNCT
ejpam-2335	248	9	,	,	PUNCT
ejpam-2335	248	10	we	we	PRON
ejpam-2335	248	11	get	get	VERB
ejpam-2335	248	12	:	:	PUNCT
ejpam-2335	248	13	v(x	v(x	PROPN
ejpam-2335	248	14	,	,	PUNCT
ejpam-2335	248	15	β	β	X
ejpam-2335	248	16	)	)	PUNCT
ejpam-2335	248	17	=	=	SYM
ejpam-2335	249	1	ut(x	ut(x	NOUN
ejpam-2335	249	2	,	,	PUNCT
ejpam-2335	249	3	β	β	NOUN
ejpam-2335	249	4	)	)	PUNCT
ejpam-2335	249	5	=	=	SYM
ejpam-2335	249	6	ux	ux	PROPN
ejpam-2335	249	7	x(x	x(x	PROPN
ejpam-2335	249	8	,	,	PUNCT
ejpam-2335	249	9	β)−	β)−	PROPN
ejpam-2335	249	10	b2u(x	b2u(x	PROPN
ejpam-2335	249	11	,	,	PUNCT
ejpam-2335	249	12	β	β	NOUN
ejpam-2335	249	13	)	)	PUNCT
ejpam-2335	249	14	+	+	CCONJ
ejpam-2335	249	15	f1(x	f1(x	NUM
ejpam-2335	249	16	)	)	PUNCT
ejpam-2335	249	17	,	,	PUNCT
ejpam-2335	249	18	(	(	PUNCT
ejpam-2335	249	19	50	50	NUM
ejpam-2335	249	20	)	)	PUNCT
ejpam-2335	249	21	therefore	therefore	ADV
ejpam-2335	249	22	,	,	PUNCT
ejpam-2335	249	23	from	from	ADP
ejpam-2335	249	24	(	(	PUNCT
ejpam-2335	249	25	9	9	NUM
ejpam-2335	249	26	)	)	PUNCT
ejpam-2335	249	27	,	,	PUNCT
ejpam-2335	249	28	we	we	PRON
ejpam-2335	249	29	have	have	VERB
ejpam-2335	249	30	:	:	PUNCT
ejpam-2335	249	31	f1(x	f1(x	NUM
ejpam-2335	249	32	)	)	PUNCT
ejpam-2335	250	1	=	=	NOUN
ejpam-2335	250	2	v(x	v(x	NOUN
ejpam-2335	250	3	,	,	PUNCT
ejpam-2335	250	4	β)−ϕ′′(x	β)−ϕ′′(x	PRON
ejpam-2335	250	5	)	)	PUNCT
ejpam-2335	251	1	+	+	CCONJ
ejpam-2335	251	2	b2ϕ(x	b2ϕ(x	PROPN
ejpam-2335	251	3	)	)	PUNCT
ejpam-2335	251	4	.	.	PUNCT
ejpam-2335	252	1	(	(	PUNCT
ejpam-2335	252	2	51	51	NUM
ejpam-2335	252	3	)	)	PUNCT
ejpam-2335	252	4	also	also	ADV
ejpam-2335	252	5	,	,	PUNCT
ejpam-2335	252	6	using	use	VERB
ejpam-2335	252	7	(	(	PUNCT
ejpam-2335	252	8	4	4	NUM
ejpam-2335	252	9	)	)	PUNCT
ejpam-2335	252	10	and	and	CCONJ
ejpam-2335	252	11	(	(	PUNCT
ejpam-2335	252	12	7	7	NUM
ejpam-2335	252	13	)	)	PUNCT
ejpam-2335	252	14	,	,	PUNCT
ejpam-2335	252	15	we	we	PRON
ejpam-2335	252	16	get	get	VERB
ejpam-2335	252	17	:	:	PUNCT
ejpam-2335	252	18	f2(x	f2(x	X
ejpam-2335	252	19	)	)	PUNCT
ejpam-2335	252	20	=	=	SYM
ejpam-2335	253	1	vt(x	vt(x	NOUN
ejpam-2335	253	2	,	,	PUNCT
ejpam-2335	253	3	−α)−ψ′′(x	−α)−ψ′′(x	PROPN
ejpam-2335	253	4	)	)	PUNCT
ejpam-2335	254	1	+	+	CCONJ
ejpam-2335	254	2	b2ψ(x	b2ψ(x	NOUN
ejpam-2335	254	3	)	)	PUNCT
ejpam-2335	254	4	.	.	PUNCT
ejpam-2335	255	1	(	(	PUNCT
ejpam-2335	255	2	52	52	NUM
ejpam-2335	255	3	)	)	PUNCT
ejpam-2335	255	4	therefore	therefore	ADV
ejpam-2335	255	5	,	,	PUNCT
ejpam-2335	255	6	having	have	VERB
ejpam-2335	255	7	approximation	approximation	NOUN
ejpam-2335	255	8	solution	solution	NOUN
ejpam-2335	255	9	of	of	ADP
ejpam-2335	255	10	v	v	NOUN
ejpam-2335	255	11	(	(	PUNCT
ejpam-2335	255	12	ṽ	ṽ	PROPN
ejpam-2335	255	13	)	)	PUNCT
ejpam-2335	255	14	is	be	AUX
ejpam-2335	255	15	determined	determine	VERB
ejpam-2335	255	16	,	,	PUNCT
ejpam-2335	255	17	then	then	ADV
ejpam-2335	255	18	approximation	approximation	NOUN
ejpam-2335	255	19	solutions	solution	NOUN
ejpam-2335	255	20	of	of	ADP
ejpam-2335	255	21	u	u	NOUN
ejpam-2335	255	22	,	,	PUNCT
ejpam-2335	255	23	f1	f1	NOUN
ejpam-2335	255	24	and	and	CCONJ
ejpam-2335	255	25	f2	f2	PROPN
ejpam-2335	255	26	can	can	AUX
ejpam-2335	255	27	be	be	AUX
ejpam-2335	255	28	obtain	obtain	ADJ
ejpam-2335	255	29	as	as	SCONJ
ejpam-2335	255	30	follow	follow	VERB
ejpam-2335	255	31	:	:	PUNCT
ejpam-2335	255	32	ũ(x	ũ(x	PROPN
ejpam-2335	255	33	,	,	PUNCT
ejpam-2335	255	34	t	t	PROPN
ejpam-2335	255	35	)	)	PUNCT
ejpam-2335	256	1	=	=	NOUN
ejpam-2335	256	2	ϕ(x)−	ϕ(x)−	PROPN
ejpam-2335	256	3	∫	∫	PROPN
ejpam-2335	256	4	β	β	PROPN
ejpam-2335	256	5	t	t	PROPN
ejpam-2335	256	6	ṽ(x	ṽ(x	PROPN
ejpam-2335	256	7	,	,	PUNCT
ejpam-2335	256	8	s)ds	s)ds	PROPN
ejpam-2335	256	9	;	;	PUNCT
ejpam-2335	256	10	t	t	PROPN
ejpam-2335	256	11	>	>	X
ejpam-2335	256	12	0	0	NUM
ejpam-2335	256	13	,	,	PUNCT
ejpam-2335	256	14	(	(	PUNCT
ejpam-2335	256	15	53	53	NUM
ejpam-2335	256	16	)	)	PUNCT
ejpam-2335	256	17	ũ(x	ũ(x	PROPN
ejpam-2335	256	18	,	,	PUNCT
ejpam-2335	256	19	t	t	NOUN
ejpam-2335	256	20	)	)	PUNCT
ejpam-2335	256	21	=	=	NOUN
ejpam-2335	256	22	ψ(x	ψ(x	NOUN
ejpam-2335	256	23	)	)	PUNCT
ejpam-2335	257	1	+	+	NUM
ejpam-2335	257	2	∫	∫	PROPN
ejpam-2335	257	3	t	t	PROPN
ejpam-2335	257	4	−α	−α	PROPN
ejpam-2335	257	5	ṽ(x	ṽ(x	PROPN
ejpam-2335	257	6	,	,	PUNCT
ejpam-2335	257	7	s)ds	s)ds	PROPN
ejpam-2335	257	8	;	;	PUNCT
ejpam-2335	257	9	t	t	PROPN
ejpam-2335	257	10	<	<	X
ejpam-2335	257	11	0	0	NUM
ejpam-2335	257	12	,	,	PUNCT
ejpam-2335	257	13	(	(	PUNCT
ejpam-2335	257	14	54	54	NUM
ejpam-2335	257	15	)	)	PUNCT
ejpam-2335	257	16	f̃1(x	f̃1(x	NOUN
ejpam-2335	257	17	)	)	PUNCT
ejpam-2335	258	1	=	=	NOUN
ejpam-2335	258	2	ṽ(x	ṽ(x	NOUN
ejpam-2335	258	3	,	,	PUNCT
ejpam-2335	258	4	β)−ϕ′′(x	β)−ϕ′′(x	PROPN
ejpam-2335	258	5	)	)	PUNCT
ejpam-2335	258	6	.	.	PUNCT
ejpam-2335	259	1	(	(	PUNCT
ejpam-2335	259	2	55	55	NUM
ejpam-2335	259	3	)	)	PUNCT
ejpam-2335	259	4	f̃2(x	f̃2(x	NOUN
ejpam-2335	259	5	)	)	PUNCT
ejpam-2335	260	1	=	=	NOUN
ejpam-2335	260	2	ṽt(x	ṽt(x	NOUN
ejpam-2335	260	3	,	,	PUNCT
ejpam-2335	260	4	−α)−ψ′′(x	−α)−ψ′′(x	PROPN
ejpam-2335	260	5	)	)	PUNCT
ejpam-2335	260	6	.	.	PUNCT
ejpam-2335	261	1	(	(	PUNCT
ejpam-2335	261	2	56	56	NUM
ejpam-2335	261	3	)	)	PUNCT
ejpam-2335	261	4	5	5	NUM
ejpam-2335	261	5	.	.	PUNCT
ejpam-2335	261	6	test	test	NOUN
ejpam-2335	261	7	examples	example	NOUN
ejpam-2335	261	8	in	in	ADP
ejpam-2335	261	9	this	this	DET
ejpam-2335	261	10	section	section	NOUN
ejpam-2335	261	11	two	two	NUM
ejpam-2335	261	12	examples	example	NOUN
ejpam-2335	261	13	are	be	AUX
ejpam-2335	261	14	presented	present	VERB
ejpam-2335	261	15	to	to	PART
ejpam-2335	261	16	demonstrate	demonstrate	VERB
ejpam-2335	261	17	the	the	DET
ejpam-2335	261	18	applicability	applicability	NOUN
ejpam-2335	261	19	and	and	CCONJ
ejpam-2335	261	20	accuracy	accuracy	NOUN
ejpam-2335	261	21	of	of	ADP
ejpam-2335	261	22	the	the	DET
ejpam-2335	261	23	method	method	NOUN
ejpam-2335	261	24	.	.	PUNCT
ejpam-2335	262	1	these	these	DET
ejpam-2335	262	2	tests	test	NOUN
ejpam-2335	262	3	are	be	AUX
ejpam-2335	262	4	chosen	choose	VERB
ejpam-2335	262	5	such	such	ADJ
ejpam-2335	262	6	that	that	SCONJ
ejpam-2335	262	7	their	their	PRON
ejpam-2335	262	8	analytical	analytical	ADJ
ejpam-2335	262	9	solutions	solution	NOUN
ejpam-2335	262	10	are	be	AUX
ejpam-2335	262	11	known	know	VERB
ejpam-2335	262	12	.	.	PUNCT
ejpam-2335	263	1	but	but	CCONJ
ejpam-2335	263	2	the	the	DET
ejpam-2335	263	3	method	method	NOUN
ejpam-2335	263	4	developed	develop	VERB
ejpam-2335	263	5	in	in	ADP
ejpam-2335	263	6	this	this	DET
ejpam-2335	263	7	research	research	NOUN
ejpam-2335	263	8	can	can	AUX
ejpam-2335	263	9	be	be	AUX
ejpam-2335	263	10	applied	apply	VERB
ejpam-2335	263	11	to	to	ADP
ejpam-2335	263	12	more	more	ADV
ejpam-2335	263	13	complicated	complicated	ADJ
ejpam-2335	263	14	problems	problem	NOUN
ejpam-2335	263	15	.	.	PUNCT
ejpam-2335	264	1	the	the	DET
ejpam-2335	264	2	numerical	numerical	ADJ
ejpam-2335	264	3	implementation	implementation	NOUN
ejpam-2335	264	4	is	be	AUX
ejpam-2335	264	5	carried	carry	VERB
ejpam-2335	264	6	out	out	ADP
ejpam-2335	264	7	in	in	ADP
ejpam-2335	264	8	maple	maple	NOUN
ejpam-2335	264	9	13	13	NUM
ejpam-2335	264	10	.	.	PUNCT
ejpam-2335	265	1	we	we	PRON
ejpam-2335	265	2	tested	test	VERB
ejpam-2335	265	3	the	the	DET
ejpam-2335	265	4	accuracy	accuracy	NOUN
ejpam-2335	265	5	and	and	CCONJ
ejpam-2335	265	6	stability	stability	NOUN
ejpam-2335	265	7	of	of	ADP
ejpam-2335	265	8	the	the	DET
ejpam-2335	265	9	method	method	NOUN
ejpam-2335	265	10	presented	present	VERB
ejpam-2335	265	11	in	in	ADP
ejpam-2335	265	12	this	this	DET
ejpam-2335	265	13	paper	paper	NOUN
ejpam-2335	265	14	by	by	ADP
ejpam-2335	265	15	performing	perform	VERB
ejpam-2335	265	16	the	the	DET
ejpam-2335	265	17	mentioned	mention	VERB
ejpam-2335	265	18	method	method	NOUN
ejpam-2335	265	19	for	for	ADP
ejpam-2335	265	20	different	different	ADJ
ejpam-2335	265	21	values	value	NOUN
ejpam-2335	265	22	of	of	ADP
ejpam-2335	265	23	n	n	PRON
ejpam-2335	265	24	and	and	CCONJ
ejpam-2335	265	25	m	m	NOUN
ejpam-2335	265	26	.	.	PUNCT
ejpam-2335	266	1	to	to	PART
ejpam-2335	266	2	study	study	VERB
ejpam-2335	266	3	the	the	DET
ejpam-2335	266	4	convergence	convergence	NOUN
ejpam-2335	266	5	behavior	behavior	NOUN
ejpam-2335	266	6	of	of	ADP
ejpam-2335	266	7	f.	f.	PROPN
ejpam-2335	266	8	parzlivand	parzlivand	PROPN
ejpam-2335	266	9	,	,	PUNCT
ejpam-2335	266	10	a.	a.	NOUN
ejpam-2335	266	11	shahrezaee	shahrezaee	PROPN
ejpam-2335	266	12	/	/	SYM
ejpam-2335	266	13	eur	eur	PROPN
ejpam-2335	266	14	.	.	PUNCT
ejpam-2335	267	1	j.	j.	PROPN
ejpam-2335	267	2	pure	pure	PROPN
ejpam-2335	267	3	appl	appl	PROPN
ejpam-2335	267	4	.	.	PROPN
ejpam-2335	267	5	math	math	PROPN
ejpam-2335	267	6	,	,	PUNCT
ejpam-2335	267	7	8	8	NUM
ejpam-2335	267	8	(	(	PUNCT
ejpam-2335	267	9	2015	2015	NUM
ejpam-2335	267	10	)	)	PUNCT
ejpam-2335	267	11	,	,	PUNCT
ejpam-2335	267	12	239	239	NUM
ejpam-2335	267	13	-	-	SYM
ejpam-2335	267	14	254	254	NUM
ejpam-2335	267	15	248	248	NUM
ejpam-2335	267	16	the	the	DET
ejpam-2335	267	17	rbfs	rbfs	NOUN
ejpam-2335	267	18	method	method	NOUN
ejpam-2335	267	19	,	,	PUNCT
ejpam-2335	267	20	we	we	PRON
ejpam-2335	267	21	applied	apply	VERB
ejpam-2335	267	22	the	the	DET
ejpam-2335	267	23	following	follow	VERB
ejpam-2335	267	24	law	law	NOUN
ejpam-2335	267	25	:	:	PUNCT
ejpam-2335	267	26	the	the	DET
ejpam-2335	267	27	root	root	NOUN
ejpam-2335	267	28	mean	mean	NOUN
ejpam-2335	267	29	square	square	PROPN
ejpam-2335	267	30	(	(	PUNCT
ejpam-2335	267	31	rms	rm	NOUN
ejpam-2335	267	32	)	)	PUNCT
ejpam-2335	267	33	is	be	AUX
ejpam-2335	267	34	described	describe	VERB
ejpam-2335	267	35	using	use	VERB
ejpam-2335	267	36	:	:	PUNCT
ejpam-2335	267	37	rms(u	rms(u	X
ejpam-2335	267	38	)	)	PUNCT
ejpam-2335	267	39	=	=	SYM
ejpam-2335	268	1	√	√	NUM
ejpam-2335	268	2	√	√	NUM
ejpam-2335	268	3	√	√	NUM
ejpam-2335	268	4	√	√	NUM
ejpam-2335	268	5	1	1	NUM
ejpam-2335	268	6	n	n	NOUN
ejpam-2335	268	7	m	m	NOUN
ejpam-2335	268	8	n	n	PRON
ejpam-2335	268	9	∑	∑	PROPN
ejpam-2335	268	10	i=1	i=1	PROPN
ejpam-2335	268	11	m	m	VERB
ejpam-2335	268	12	∑	∑	VERB
ejpam-2335	268	13	j=1	j=1	PROPN
ejpam-2335	268	14	|u(x	|u(x	VERB
ejpam-2335	268	15	i	i	PRON
ejpam-2335	268	16	,	,	PUNCT
ejpam-2335	268	17	t	t	PROPN
ejpam-2335	268	18	j)−	j)−	PROPN
ejpam-2335	268	19	ũ(x	ũ(x	PROPN
ejpam-2335	268	20	i	i	PROPN
ejpam-2335	268	21	,	,	PUNCT
ejpam-2335	268	22	t	t	PROPN
ejpam-2335	268	23	j)|2	j)|2	PROPN
ejpam-2335	268	24	,	,	PUNCT
ejpam-2335	268	25	rms	rm	NOUN
ejpam-2335	268	26	(	(	PUNCT
ejpam-2335	268	27	f1	f1	NOUN
ejpam-2335	268	28	)	)	PUNCT
ejpam-2335	268	29	=	=	SYM
ejpam-2335	269	1	√	√	NUM
ejpam-2335	269	2	√	√	NUM
ejpam-2335	269	3	√	√	NUM
ejpam-2335	269	4	√	√	NUM
ejpam-2335	269	5	1	1	NUM
ejpam-2335	269	6	n	n	CCONJ
ejpam-2335	269	7	n	n	ADV
ejpam-2335	269	8	∑	∑	PROPN
ejpam-2335	269	9	i=1	i=1	PROPN
ejpam-2335	270	1	|	|	ADV
ejpam-2335	270	2	f1(x	f1(x	PROPN
ejpam-2335	270	3	i)−	i)−	PROPN
ejpam-2335	270	4	f̃1(x	f̃1(x	PROPN
ejpam-2335	270	5	i)|2	i)|2	NOUN
ejpam-2335	270	6	,	,	PUNCT
ejpam-2335	270	7	rms	rm	NOUN
ejpam-2335	270	8	(	(	PUNCT
ejpam-2335	270	9	f2	f2	PROPN
ejpam-2335	270	10	)	)	PUNCT
ejpam-2335	270	11	=	=	SYM
ejpam-2335	271	1	√	√	ADP
ejpam-2335	271	2	√	√	NUM
ejpam-2335	271	3	√	√	NUM
ejpam-2335	271	4	√	√	NUM
ejpam-2335	271	5	1	1	NUM
ejpam-2335	271	6	n	n	CCONJ
ejpam-2335	271	7	n	n	NOUN
ejpam-2335	271	8	∑	∑	PROPN
ejpam-2335	271	9	i=1	i=1	PROPN
ejpam-2335	272	1	|	|	ADV
ejpam-2335	272	2	f2(x	f2(x	PROPN
ejpam-2335	272	3	i)−	i)−	ADJ
ejpam-2335	272	4	f̃2(x	f̃2(x	ADJ
ejpam-2335	272	5	i)|2	i)|2	PROPN
ejpam-2335	272	6	.	.	PUNCT
ejpam-2335	273	1	for	for	ADP
ejpam-2335	273	2	simplicity	simplicity	NOUN
ejpam-2335	273	3	,	,	PUNCT
ejpam-2335	273	4	we	we	PRON
ejpam-2335	273	5	set	set	VERB
ejpam-2335	273	6	α=	α=	NOUN
ejpam-2335	273	7	β	β	NOUN
ejpam-2335	273	8	=	=	SYM
ejpam-2335	273	9	1	1	NUM
ejpam-2335	273	10	in	in	ADP
ejpam-2335	273	11	all	all	PRON
ejpam-2335	273	12	following	follow	VERB
ejpam-2335	273	13	examples	example	NOUN
ejpam-2335	273	14	5.1	5.1	NUM
ejpam-2335	273	15	.	.	PUNCT
ejpam-2335	273	16	example	example	NOUN
ejpam-2335	273	17	1	1	NUM
ejpam-2335	273	18	we	we	PRON
ejpam-2335	273	19	solve	solve	VERB
ejpam-2335	273	20	the	the	DET
ejpam-2335	273	21	problem	problem	NOUN
ejpam-2335	273	22	(	(	PUNCT
ejpam-2335	273	23	2)-(9	2)-(9	NOUN
ejpam-2335	273	24	)	)	PUNCT
ejpam-2335	273	25	with	with	ADP
ejpam-2335	273	26	b	b	NOUN
ejpam-2335	273	27	=	=	SYM
ejpam-2335	273	28	1	1	NUM
ejpam-2335	273	29	and	and	CCONJ
ejpam-2335	273	30	:	:	PUNCT
ejpam-2335	273	31	g(t	g(t	PROPN
ejpam-2335	273	32	)	)	PUNCT
ejpam-2335	274	1	=	=	SYM
ejpam-2335	274	2	¨	¨	NOUN
ejpam-2335	274	3	1	1	NUM
ejpam-2335	274	4	+	+	NUM
ejpam-2335	274	5	exp(−2	exp(−2	NUM
ejpam-2335	274	6	t	t	NOUN
ejpam-2335	274	7	)	)	PUNCT
ejpam-2335	274	8	;	;	PUNCT
ejpam-2335	274	9	0	0	NUM
ejpam-2335	274	10	<	<	X
ejpam-2335	274	11	t	t	X
ejpam-2335	274	12	<	<	X
ejpam-2335	274	13	1	1	NUM
ejpam-2335	274	14	,	,	PUNCT
ejpam-2335	274	15	cos	cos	ADP
ejpam-2335	274	16	(	(	PUNCT
ejpam-2335	274	17	p	p	PROPN
ejpam-2335	274	18	2	2	NUM
ejpam-2335	274	19	t	t	NOUN
ejpam-2335	274	20	)	)	PUNCT
ejpam-2335	274	21	;	;	PUNCT
ejpam-2335	274	22	−1	−1	NOUN
ejpam-2335	274	23	<	<	X
ejpam-2335	274	24	t	t	X
ejpam-2335	274	25	<	<	X
ejpam-2335	274	26	0	0	NUM
ejpam-2335	274	27	,	,	PUNCT
ejpam-2335	274	28	h(t	h(t	PROPN
ejpam-2335	274	29	)	)	PUNCT
ejpam-2335	274	30	=	=	SYM
ejpam-2335	274	31	¨	¨	X
ejpam-2335	274	32	(	(	PUNCT
ejpam-2335	274	33	1	1	NUM
ejpam-2335	274	34	+	+	NUM
ejpam-2335	274	35	exp(−2	exp(−2	NUM
ejpam-2335	274	36	t	t	NOUN
ejpam-2335	274	37	)	)	PUNCT
ejpam-2335	274	38	)	)	PUNCT
ejpam-2335	274	39	cos(1	cos(1	NOUN
ejpam-2335	274	40	)	)	PUNCT
ejpam-2335	274	41	;	;	PUNCT
ejpam-2335	274	42	0	0	NUM
ejpam-2335	274	43	<	<	X
ejpam-2335	274	44	t	t	X
ejpam-2335	274	45	<	<	X
ejpam-2335	274	46	1	1	NUM
ejpam-2335	274	47	,	,	PUNCT
ejpam-2335	274	48	cos	cos	ADP
ejpam-2335	274	49	(	(	PUNCT
ejpam-2335	274	50	p	p	PROPN
ejpam-2335	274	51	2	2	NUM
ejpam-2335	274	52	t	t	NOUN
ejpam-2335	274	53	)	)	PUNCT
ejpam-2335	274	54	cos(1	cos(1	NOUN
ejpam-2335	274	55	)	)	PUNCT
ejpam-2335	274	56	;	;	PUNCT
ejpam-2335	274	57	−1	−1	NOUN
ejpam-2335	274	58	<	<	X
ejpam-2335	274	59	t	t	X
ejpam-2335	274	60	<	<	X
ejpam-2335	274	61	0	0	NUM
ejpam-2335	274	62	,	,	PUNCT
ejpam-2335	274	63	q(x	q(x	PROPN
ejpam-2335	274	64	)	)	PUNCT
ejpam-2335	275	1	=	=	SYM
ejpam-2335	275	2	−p2sin	−p2sin	PROPN
ejpam-2335	275	3	(	(	PUNCT
ejpam-2335	275	4	p	p	NOUN
ejpam-2335	275	5	2	2	NUM
ejpam-2335	275	6	)	)	PUNCT
ejpam-2335	275	7	cos(x	cos(x	PROPN
ejpam-2335	275	8	)	)	PUNCT
ejpam-2335	275	9	,	,	PUNCT
ejpam-2335	275	10	ϕ(x	ϕ(x	X
ejpam-2335	275	11	)	)	PUNCT
ejpam-2335	275	12	=(	=(	NOUN
ejpam-2335	275	13	1	1	NUM
ejpam-2335	275	14	+	+	NUM
ejpam-2335	275	15	exp(−2	exp(−2	NUM
ejpam-2335	275	16	)	)	PUNCT
ejpam-2335	275	17	)	)	PUNCT
ejpam-2335	275	18	cos(x	cos(x	PROPN
ejpam-2335	275	19	)	)	PUNCT
ejpam-2335	275	20	,	,	PUNCT
ejpam-2335	275	21	ψ(x	ψ(x	NOUN
ejpam-2335	275	22	)	)	PUNCT
ejpam-2335	275	23	=	=	SYM
ejpam-2335	276	1	cos	cos	PROPN
ejpam-2335	276	2	(	(	PUNCT
ejpam-2335	276	3	p	p	NOUN
ejpam-2335	276	4	2	2	NUM
ejpam-2335	276	5	)	)	PUNCT
ejpam-2335	276	6	cos(x	cos(x	PROPN
ejpam-2335	276	7	)	)	PUNCT
ejpam-2335	276	8	.	.	PUNCT
ejpam-2335	277	1	the	the	DET
ejpam-2335	277	2	exact	exact	ADJ
ejpam-2335	277	3	solution	solution	NOUN
ejpam-2335	277	4	of	of	ADP
ejpam-2335	277	5	this	this	DET
ejpam-2335	277	6	problem	problem	NOUN
ejpam-2335	277	7	is	be	AUX
ejpam-2335	277	8	:	:	PUNCT
ejpam-2335	277	9	u(x	u(x	PROPN
ejpam-2335	277	10	,	,	PUNCT
ejpam-2335	277	11	t	t	NOUN
ejpam-2335	277	12	)	)	PUNCT
ejpam-2335	277	13	=	=	SYM
ejpam-2335	278	1	¨	¨	X
ejpam-2335	278	2	(	(	PUNCT
ejpam-2335	278	3	1	1	NUM
ejpam-2335	278	4	+	+	NUM
ejpam-2335	278	5	exp(−2	exp(−2	NUM
ejpam-2335	278	6	t	t	NOUN
ejpam-2335	278	7	)	)	PUNCT
ejpam-2335	278	8	)	)	PUNCT
ejpam-2335	278	9	cos(x	cos(x	PROPN
ejpam-2335	278	10	)	)	PUNCT
ejpam-2335	278	11	;	;	PUNCT
ejpam-2335	279	1	0	0	NUM
ejpam-2335	279	2	<	<	X
ejpam-2335	279	3	t	t	X
ejpam-2335	279	4	<	<	X
ejpam-2335	279	5	1	1	NUM
ejpam-2335	279	6	,	,	PUNCT
ejpam-2335	279	7	cos	cos	ADP
ejpam-2335	279	8	(	(	PUNCT
ejpam-2335	279	9	p	p	PROPN
ejpam-2335	279	10	2	2	NUM
ejpam-2335	279	11	t	t	NOUN
ejpam-2335	279	12	)	)	PUNCT
ejpam-2335	279	13	cos(x	cos(x	PROPN
ejpam-2335	279	14	)	)	PUNCT
ejpam-2335	279	15	;	;	PUNCT
ejpam-2335	279	16	−1	−1	NOUN
ejpam-2335	279	17	<	<	X
ejpam-2335	279	18	t	t	X
ejpam-2335	279	19	<	<	X
ejpam-2335	279	20	0	0	NUM
ejpam-2335	279	21	,	,	PUNCT
ejpam-2335	279	22	,	,	PUNCT
ejpam-2335	279	23	¨	¨	NOUN
ejpam-2335	279	24	f1(x	f1(x	NUM
ejpam-2335	279	25	)	)	PUNCT
ejpam-2335	279	26	=	=	SYM
ejpam-2335	279	27	2cos(x	2cos(x	NUM
ejpam-2335	279	28	)	)	PUNCT
ejpam-2335	279	29	,	,	PUNCT
ejpam-2335	279	30	f2(x	f2(x	PROPN
ejpam-2335	279	31	)	)	PUNCT
ejpam-2335	279	32	=	=	SYM
ejpam-2335	279	33	0	0	X
ejpam-2335	279	34	.	.	PUNCT
ejpam-2335	279	35	tables	table	NOUN
ejpam-2335	279	36	1	1	NUM
ejpam-2335	279	37	and	and	CCONJ
ejpam-2335	279	38	2	2	NUM
ejpam-2335	279	39	show	show	VERB
ejpam-2335	279	40	the	the	DET
ejpam-2335	279	41	absolute	absolute	ADJ
ejpam-2335	279	42	values	value	NOUN
ejpam-2335	279	43	of	of	ADP
ejpam-2335	279	44	error	error	NOUN
ejpam-2335	279	45	for	for	ADP
ejpam-2335	279	46	u	u	NOUN
ejpam-2335	279	47	at	at	ADP
ejpam-2335	279	48	t	t	PROPN
ejpam-2335	279	49	=	=	SYM
ejpam-2335	279	50	0.5	0.5	NUM
ejpam-2335	279	51	and	and	CCONJ
ejpam-2335	279	52	t	t	NOUN
ejpam-2335	280	1	=	=	PUNCT
ejpam-2335	280	2	−0.5	−0.5	PROPN
ejpam-2335	280	3	for	for	ADP
ejpam-2335	280	4	different	different	ADJ
ejpam-2335	280	5	values	value	NOUN
ejpam-2335	280	6	of	of	ADP
ejpam-2335	280	7	m	m	PROPN
ejpam-2335	280	8	and	and	CCONJ
ejpam-2335	280	9	n	n	PROPN
ejpam-2335	280	10	,	,	PUNCT
ejpam-2335	280	11	using	use	VERB
ejpam-2335	280	12	the	the	DET
ejpam-2335	280	13	method	method	NOUN
ejpam-2335	280	14	presented	present	VERB
ejpam-2335	280	15	in	in	ADP
ejpam-2335	280	16	section	section	NOUN
ejpam-2335	280	17	3	3	NUM
ejpam-2335	280	18	,	,	PUNCT
ejpam-2335	280	19	respectively	respectively	ADV
ejpam-2335	280	20	.	.	PUNCT
ejpam-2335	281	1	the	the	DET
ejpam-2335	281	2	corresponding	corresponding	ADJ
ejpam-2335	281	3	results	result	NOUN
ejpam-2335	281	4	obtained	obtain	VERB
ejpam-2335	281	5	for	for	ADP
ejpam-2335	281	6	f1(x	f1(x	PROPN
ejpam-2335	281	7	)	)	PUNCT
ejpam-2335	281	8	and	and	CCONJ
ejpam-2335	281	9	f2(x	f2(x	NUM
ejpam-2335	281	10	)	)	PUNCT
ejpam-2335	281	11	are	be	AUX
ejpam-2335	281	12	presented	present	VERB
ejpam-2335	281	13	in	in	ADP
ejpam-2335	281	14	tables	table	NOUN
ejpam-2335	281	15	3	3	NUM
ejpam-2335	281	16	and	and	CCONJ
ejpam-2335	281	17	4	4	NUM
ejpam-2335	281	18	,	,	PUNCT
ejpam-2335	281	19	respectively	respectively	ADV
ejpam-2335	281	20	.	.	PUNCT
ejpam-2335	282	1	also	also	ADV
ejpam-2335	282	2	,	,	PUNCT
ejpam-2335	282	3	table	table	NOUN
ejpam-2335	282	4	5	5	NUM
ejpam-2335	282	5	shows	show	VERB
ejpam-2335	282	6	the	the	DET
ejpam-2335	282	7	rms	rm	NOUN
ejpam-2335	282	8	error	error	NOUN
ejpam-2335	282	9	values	value	NOUN
ejpam-2335	282	10	for	for	ADP
ejpam-2335	282	11	f1(x	f1(x	PROPN
ejpam-2335	282	12	)	)	PUNCT
ejpam-2335	282	13	,	,	PUNCT
ejpam-2335	282	14	u(x	u(x	PROPN
ejpam-2335	282	15	,	,	PUNCT
ejpam-2335	282	16	t	t	PROPN
ejpam-2335	282	17	)	)	PUNCT
ejpam-2335	282	18	on	on	ADP
ejpam-2335	282	19	the	the	DET
ejpam-2335	282	20	interval	interval	NOUN
ejpam-2335	282	21	t	t	PROPN
ejpam-2335	282	22	∈	∈	PROPN
ejpam-2335	283	1	[	[	X
ejpam-2335	283	2	0,1	0,1	NUM
ejpam-2335	283	3	]	]	PUNCT
ejpam-2335	283	4	and	and	CCONJ
ejpam-2335	283	5	x	x	PUNCT
ejpam-2335	283	6	∈	∈	PROPN
ejpam-2335	284	1	[	[	X
ejpam-2335	284	2	0,1	0,1	NUM
ejpam-2335	284	3	]	]	PUNCT
ejpam-2335	284	4	,	,	PUNCT
ejpam-2335	284	5	f2(x	f2(x	PROPN
ejpam-2335	284	6	)	)	PUNCT
ejpam-2335	284	7	and	and	CCONJ
ejpam-2335	284	8	u(x	u(x	PROPN
ejpam-2335	284	9	,	,	PUNCT
ejpam-2335	284	10	t	t	PROPN
ejpam-2335	284	11	)	)	PUNCT
ejpam-2335	284	12	on	on	ADP
ejpam-2335	284	13	the	the	DET
ejpam-2335	284	14	interval	interval	NOUN
ejpam-2335	284	15	t	t	PROPN
ejpam-2335	284	16	∈	∈	PROPN
ejpam-2335	285	1	[	[	X
ejpam-2335	285	2	−1,0	−1,0	X
ejpam-2335	285	3	]	]	PUNCT
ejpam-2335	285	4	and	and	CCONJ
ejpam-2335	285	5	x	x	PUNCT
ejpam-2335	285	6	∈	∈	PROPN
ejpam-2335	285	7	[	[	X
ejpam-2335	285	8	0,1	0,1	NUM
ejpam-2335	285	9	]	]	PUNCT
ejpam-2335	285	10	for	for	ADP
ejpam-2335	285	11	various	various	ADJ
ejpam-2335	285	12	values	value	NOUN
ejpam-2335	285	13	of	of	ADP
ejpam-2335	285	14	n	n	PRON
ejpam-2335	285	15	and	and	CCONJ
ejpam-2335	285	16	m	m	NOUN
ejpam-2335	285	17	.	.	PUNCT
ejpam-2335	286	1	it	it	PRON
ejpam-2335	286	2	can	can	AUX
ejpam-2335	286	3	be	be	AUX
ejpam-2335	286	4	obtained	obtain	VERB
ejpam-2335	286	5	from	from	ADP
ejpam-2335	286	6	results	result	NOUN
ejpam-2335	286	7	obtained	obtain	VERB
ejpam-2335	286	8	that	that	SCONJ
ejpam-2335	286	9	the	the	DET
ejpam-2335	286	10	accuracy	accuracy	NOUN
ejpam-2335	286	11	increases	increase	VERB
ejpam-2335	286	12	with	with	ADP
ejpam-2335	286	13	the	the	DET
ejpam-2335	286	14	increase	increase	NOUN
ejpam-2335	286	15	of	of	ADP
ejpam-2335	286	16	the	the	DET
ejpam-2335	286	17	number	number	NOUN
ejpam-2335	286	18	of	of	ADP
ejpam-2335	286	19	collocation	collocation	NOUN
ejpam-2335	286	20	points	point	NOUN
ejpam-2335	286	21	.	.	PUNCT
ejpam-2335	287	1	in	in	ADP
ejpam-2335	287	2	addition	addition	NOUN
ejpam-2335	287	3	,	,	PUNCT
ejpam-2335	287	4	the	the	DET
ejpam-2335	287	5	graphs	graph	NOUN
ejpam-2335	287	6	of	of	ADP
ejpam-2335	287	7	the	the	DET
ejpam-2335	287	8	error	error	NOUN
ejpam-2335	287	9	functions	function	NOUN
ejpam-2335	287	10	|u(x	|u(x	NOUN
ejpam-2335	287	11	,	,	PUNCT
ejpam-2335	287	12	t	t	PROPN
ejpam-2335	287	13	)	)	PUNCT
ejpam-2335	288	1	−	−	PROPN
ejpam-2335	288	2	ũ(x	ũ(x	ADJ
ejpam-2335	288	3	,	,	PUNCT
ejpam-2335	288	4	t)|	t)|	ADJ
ejpam-2335	288	5	on	on	ADP
ejpam-2335	288	6	the	the	DET
ejpam-2335	288	7	interval	interval	NOUN
ejpam-2335	288	8	t	t	PROPN
ejpam-2335	288	9	∈	∈	PROPN
ejpam-2335	289	1	[	[	X
ejpam-2335	289	2	0,1	0,1	NUM
ejpam-2335	289	3	]	]	PUNCT
ejpam-2335	289	4	and	and	CCONJ
ejpam-2335	289	5	t	t	PROPN
ejpam-2335	289	6	∈	∈	PROPN
ejpam-2335	290	1	[	[	X
ejpam-2335	290	2	−1,0	−1,0	X
ejpam-2335	290	3	]	]	PUNCT
ejpam-2335	290	4	,	,	PUNCT
ejpam-2335	290	5	|	|	ADV
ejpam-2335	290	6	f1(x)−	f1(x)−	PROPN
ejpam-2335	290	7	f̃1(x)|	f̃1(x)|	PROPN
ejpam-2335	290	8	and	and	CCONJ
ejpam-2335	290	9	|	|	ADV
ejpam-2335	290	10	f2(x)−	f2(x)−	NOUN
ejpam-2335	290	11	f̃2(x)|	f̃2(x)|	NOUN
ejpam-2335	290	12	are	be	AUX
ejpam-2335	290	13	plotted	plot	VERB
ejpam-2335	290	14	in	in	ADP
ejpam-2335	290	15	figure	figure	NOUN
ejpam-2335	290	16	1	1	NUM
ejpam-2335	290	17	.	.	PUNCT
ejpam-2335	290	18	f.	f.	PROPN
ejpam-2335	290	19	parzlivand	parzlivand	PROPN
ejpam-2335	290	20	,	,	PUNCT
ejpam-2335	290	21	a.	a.	NOUN
ejpam-2335	290	22	shahrezaee	shahrezaee	PROPN
ejpam-2335	290	23	/	/	SYM
ejpam-2335	290	24	eur	eur	PROPN
ejpam-2335	290	25	.	.	PUNCT
ejpam-2335	291	1	j.	j.	PROPN
ejpam-2335	291	2	pure	pure	PROPN
ejpam-2335	291	3	appl	appl	PROPN
ejpam-2335	291	4	.	.	PROPN
ejpam-2335	291	5	math	math	PROPN
ejpam-2335	291	6	,	,	PUNCT
ejpam-2335	291	7	8	8	NUM
ejpam-2335	291	8	(	(	PUNCT
ejpam-2335	291	9	2015	2015	NUM
ejpam-2335	291	10	)	)	PUNCT
ejpam-2335	291	11	,	,	PUNCT
ejpam-2335	291	12	239	239	NUM
ejpam-2335	291	13	-	-	SYM
ejpam-2335	291	14	254	254	NUM
ejpam-2335	291	15	249	249	NUM
ejpam-2335	291	16	table	table	NOUN
ejpam-2335	291	17	1	1	NUM
ejpam-2335	291	18	:	:	PUNCT
ejpam-2335	291	19	absolute	absolute	ADJ
ejpam-2335	291	20	values	value	NOUN
ejpam-2335	291	21	of	of	ADP
ejpam-2335	291	22	error	error	NOUN
ejpam-2335	291	23	for	for	ADP
ejpam-2335	291	24	u	u	NOUN
ejpam-2335	291	25	from	from	ADP
ejpam-2335	291	26	example	example	NOUN
ejpam-2335	291	27	1	1	NUM
ejpam-2335	291	28	with	with	ADP
ejpam-2335	291	29	t	t	NOUN
ejpam-2335	291	30	=	=	SYM
ejpam-2335	291	31	0.5	0.5	NUM
ejpam-2335	291	32	and	and	CCONJ
ejpam-2335	291	33	ǫ	ǫ	NOUN
ejpam-2335	291	34	=	=	NOUN
ejpam-2335	291	35	0.1	0.1	NUM
ejpam-2335	291	36	.	.	PUNCT
ejpam-2335	292	1	x	x	X
ejpam-2335	293	1	n	n	NOUN
ejpam-2335	293	2	=	=	SYM
ejpam-2335	293	3	6	6	NUM
ejpam-2335	293	4	,	,	PUNCT
ejpam-2335	293	5	m	m	VERB
ejpam-2335	293	6	=	=	SYM
ejpam-2335	293	7	5	5	NUM
ejpam-2335	293	8	n	n	NOUN
ejpam-2335	293	9	=	=	SYM
ejpam-2335	293	10	7	7	NUM
ejpam-2335	293	11	,	,	PUNCT
ejpam-2335	293	12	m	m	VERB
ejpam-2335	293	13	=	=	SYM
ejpam-2335	293	14	7	7	NUM
ejpam-2335	293	15	n	n	NOUN
ejpam-2335	293	16	=	=	SYM
ejpam-2335	293	17	8	8	NUM
ejpam-2335	293	18	,	,	PUNCT
ejpam-2335	293	19	m	m	VERB
ejpam-2335	293	20	=	=	NOUN
ejpam-2335	293	21	10	10	NUM
ejpam-2335	293	22	n	n	NOUN
ejpam-2335	293	23	=	=	NUM
ejpam-2335	293	24	11	11	NUM
ejpam-2335	293	25	,	,	PUNCT
ejpam-2335	293	26	m	m	VERB
ejpam-2335	293	27	=	=	NOUN
ejpam-2335	293	28	11	11	NUM
ejpam-2335	293	29	0.0	0.0	NUM
ejpam-2335	293	30	2.8×10−5	2.8×10−5	NUM
ejpam-2335	293	31	2.1×10−7	2.1×10−7	NUM
ejpam-2335	293	32	7.0×10−9	7.0×10−9	NUM
ejpam-2335	293	33	7.9×10−10	7.9×10−10	NUM
ejpam-2335	293	34	0.2	0.2	NUM
ejpam-2335	293	35	5.0×10−5	5.0×10−5	NUM
ejpam-2335	293	36	2.8×10−7	2.8×10−7	NUM
ejpam-2335	293	37	1.2×10−8	1.2×10−8	NUM
ejpam-2335	293	38	1.3×10−10	1.3×10−10	NUM
ejpam-2335	293	39	0.4	0.4	NUM
ejpam-2335	293	40	6.6×10−5	6.6×10−5	NUM
ejpam-2335	293	41	4.9×10−7	4.9×10−7	NUM
ejpam-2335	293	42	1.7×10−8	1.7×10−8	NUM
ejpam-2335	293	43	1.7×10−10	1.7×10−10	NUM
ejpam-2335	293	44	0.6	0.6	NUM
ejpam-2335	293	45	7.5×10−5	7.5×10−5	NUM
ejpam-2335	293	46	5.5×10−7	5.5×10−7	NUM
ejpam-2335	293	47	2.0×10−7	2.0×10−7	NUM
ejpam-2335	293	48	1.9×10−10	1.9×10−10	NUM
ejpam-2335	293	49	0.8	0.8	NUM
ejpam-2335	293	50	7.8×10−5	7.8×10−5	NUM
ejpam-2335	293	51	5.6×10−7	5.6×10−7	NUM
ejpam-2335	293	52	2.1×10−9	2.1×10−9	NUM
ejpam-2335	293	53	1.9×10−10	1.9×10−10	NUM
ejpam-2335	293	54	1.0	1.0	NUM
ejpam-2335	293	55	7.4×10−5	7.4×10−5	NUM
ejpam-2335	293	56	5.3×10−7	5.3×10−7	NUM
ejpam-2335	293	57	2.0×10−9	2.0×10−9	NUM
ejpam-2335	293	58	1.8×10−10	1.8×10−10	NUM
ejpam-2335	293	59	table	table	NOUN
ejpam-2335	293	60	2	2	NUM
ejpam-2335	293	61	:	:	PUNCT
ejpam-2335	293	62	absolute	absolute	ADJ
ejpam-2335	293	63	values	value	NOUN
ejpam-2335	293	64	of	of	ADP
ejpam-2335	293	65	error	error	NOUN
ejpam-2335	293	66	for	for	ADP
ejpam-2335	293	67	u	u	NOUN
ejpam-2335	293	68	from	from	ADP
ejpam-2335	293	69	example	example	NOUN
ejpam-2335	293	70	1	1	NUM
ejpam-2335	293	71	with	with	ADP
ejpam-2335	293	72	t	t	NOUN
ejpam-2335	293	73	=	=	PUNCT
ejpam-2335	293	74	−0.5	−0.5	PROPN
ejpam-2335	293	75	and	and	CCONJ
ejpam-2335	293	76	ǫ	ǫ	NOUN
ejpam-2335	293	77	=	=	NOUN
ejpam-2335	293	78	0.1	0.1	NUM
ejpam-2335	293	79	.	.	PUNCT
ejpam-2335	293	80	x	x	X
ejpam-2335	294	1	n	n	NOUN
ejpam-2335	294	2	=	=	SYM
ejpam-2335	294	3	6	6	NUM
ejpam-2335	294	4	,	,	PUNCT
ejpam-2335	294	5	m	m	VERB
ejpam-2335	294	6	=	=	SYM
ejpam-2335	294	7	5	5	NUM
ejpam-2335	294	8	n	n	NOUN
ejpam-2335	294	9	=	=	SYM
ejpam-2335	294	10	7	7	NUM
ejpam-2335	294	11	,	,	PUNCT
ejpam-2335	294	12	m	m	VERB
ejpam-2335	294	13	=	=	SYM
ejpam-2335	294	14	7	7	NUM
ejpam-2335	294	15	n	n	NOUN
ejpam-2335	294	16	=	=	SYM
ejpam-2335	294	17	8	8	NUM
ejpam-2335	294	18	,	,	PUNCT
ejpam-2335	294	19	m	m	VERB
ejpam-2335	294	20	=	=	NOUN
ejpam-2335	294	21	10	10	NUM
ejpam-2335	294	22	n	n	NOUN
ejpam-2335	294	23	=	=	NUM
ejpam-2335	294	24	11	11	NUM
ejpam-2335	294	25	,	,	PUNCT
ejpam-2335	294	26	m	m	VERB
ejpam-2335	294	27	=	=	NOUN
ejpam-2335	295	1	11	11	NUM
ejpam-2335	295	2	0.0	0.0	NUM
ejpam-2335	295	3	1.2×10−5	1.2×10−5	NUM
ejpam-2335	295	4	5.9×10−8	5.9×10−8	NUM
ejpam-2335	295	5	6.8×10−10	6.8×10−10	NUM
ejpam-2335	295	6	2.5×10−10	2.5×10−10	NUM
ejpam-2335	295	7	0.2	0.2	NUM
ejpam-2335	295	8	7.8×10−3	7.8×10−3	NUM
ejpam-2335	295	9	1.6×10−3	1.6×10−3	NUM
ejpam-2335	295	10	3.5×10−5	3.5×10−5	NUM
ejpam-2335	295	11	2.1×10−5	2.1×10−5	NUM
ejpam-2335	295	12	0.4	0.4	NUM
ejpam-2335	295	13	1.2×10−2	1.2×10−2	NUM
ejpam-2335	295	14	2.9×10−3	2.9×10−3	NUM
ejpam-2335	295	15	5.7×10−5	5.7×10−5	NUM
ejpam-2335	295	16	3.4×10−5	3.4×10−5	NUM
ejpam-2335	295	17	0.6	0.6	NUM
ejpam-2335	295	18	1.2×10−2	1.2×10−2	NUM
ejpam-2335	295	19	2.6×10−3	2.6×10−3	NUM
ejpam-2335	296	1	5.7×10−5	5.7×10−5	NUM
ejpam-2335	296	2	3.4×10−5	3.4×10−5	NUM
ejpam-2335	296	3	0.8	0.8	NUM
ejpam-2335	296	4	7.8×10−3	7.8×10−3	NUM
ejpam-2335	296	5	1.6×10−3	1.6×10−3	NUM
ejpam-2335	296	6	3.5×10−5	3.5×10−5	NUM
ejpam-2335	296	7	2.1×10−5	2.1×10−5	NUM
ejpam-2335	296	8	1.0	1.0	NUM
ejpam-2335	296	9	6.9×10−6	6.9×10−6	NUM
ejpam-2335	296	10	3.4×10−8	3.4×10−8	NUM
ejpam-2335	296	11	7.3×10−10	7.3×10−10	NUM
ejpam-2335	296	12	1.5×10−10	1.5×10−10	NUM
ejpam-2335	296	13	table	table	NOUN
ejpam-2335	296	14	3	3	NUM
ejpam-2335	296	15	:	:	PUNCT
ejpam-2335	296	16	absolute	absolute	ADJ
ejpam-2335	296	17	values	value	NOUN
ejpam-2335	296	18	of	of	ADP
ejpam-2335	296	19	error	error	NOUN
ejpam-2335	296	20	for	for	ADP
ejpam-2335	296	21	f1(x	f1(x	PROPN
ejpam-2335	296	22	)	)	PUNCT
ejpam-2335	296	23	from	from	ADP
ejpam-2335	296	24	example	example	NOUN
ejpam-2335	296	25	1	1	NUM
ejpam-2335	296	26	with	with	ADP
ejpam-2335	296	27	ǫ	ǫ	NOUN
ejpam-2335	296	28	=	=	SYM
ejpam-2335	296	29	0.1	0.1	NUM
ejpam-2335	296	30	.	.	PUNCT
ejpam-2335	296	31	x	x	X
ejpam-2335	297	1	n	n	NOUN
ejpam-2335	297	2	=	=	SYM
ejpam-2335	297	3	6	6	NUM
ejpam-2335	297	4	,	,	PUNCT
ejpam-2335	297	5	m	m	VERB
ejpam-2335	297	6	=	=	SYM
ejpam-2335	297	7	5	5	NUM
ejpam-2335	297	8	n	n	NOUN
ejpam-2335	297	9	=	=	SYM
ejpam-2335	297	10	7	7	NUM
ejpam-2335	297	11	,	,	PUNCT
ejpam-2335	297	12	m	m	VERB
ejpam-2335	297	13	=	=	SYM
ejpam-2335	297	14	7	7	NUM
ejpam-2335	297	15	n	n	NOUN
ejpam-2335	297	16	=	=	SYM
ejpam-2335	297	17	8	8	NUM
ejpam-2335	297	18	,	,	PUNCT
ejpam-2335	297	19	m	m	VERB
ejpam-2335	297	20	=	=	NOUN
ejpam-2335	297	21	10	10	NUM
ejpam-2335	297	22	n	n	NOUN
ejpam-2335	297	23	=	=	NUM
ejpam-2335	297	24	11	11	NUM
ejpam-2335	297	25	,	,	PUNCT
ejpam-2335	297	26	m	m	VERB
ejpam-2335	297	27	=	=	NOUN
ejpam-2335	298	1	11	11	NUM
ejpam-2335	298	2	0.2	0.2	NUM
ejpam-2335	298	3	2.8×10−4	2.8×10−4	NUM
ejpam-2335	298	4	2.9×10−6	2.9×10−6	NUM
ejpam-2335	298	5	8.8×10−9	8.8×10−9	NUM
ejpam-2335	298	6	1.5×10−9	1.5×10−9	NUM
ejpam-2335	298	7	0.4	0.4	NUM
ejpam-2335	298	8	3.1×10−4	3.1×10−4	NUM
ejpam-2335	298	9	2.6×10−6	2.6×10−6	NUM
ejpam-2335	298	10	1.4×10−8	1.4×10−8	NUM
ejpam-2335	298	11	8.3×10−10	8.3×10−10	NUM
ejpam-2335	298	12	0.6	0.6	NUM
ejpam-2335	298	13	2.8×10−4	2.8×10−4	NUM
ejpam-2335	298	14	2.2×10−6	2.2×10−6	NUM
ejpam-2335	298	15	1.1×10−8	1.1×10−8	NUM
ejpam-2335	298	16	7.5×10−10	7.5×10−10	NUM
ejpam-2335	298	17	0.8	0.8	NUM
ejpam-2335	298	18	2.4×10−4	2.4×10−4	NUM
ejpam-2335	298	19	1.8×10−6	1.8×10−6	NUM
ejpam-2335	298	20	3.9×10−9	3.9×10−9	NUM
ejpam-2335	298	21	4.4×10−10	4.4×10−10	NUM
ejpam-2335	298	22	table	table	NOUN
ejpam-2335	298	23	4	4	NUM
ejpam-2335	298	24	:	:	PUNCT
ejpam-2335	298	25	absolute	absolute	ADJ
ejpam-2335	298	26	values	value	NOUN
ejpam-2335	298	27	of	of	ADP
ejpam-2335	298	28	error	error	NOUN
ejpam-2335	298	29	for	for	ADP
ejpam-2335	298	30	f2(x	f2(x	PROPN
ejpam-2335	298	31	)	)	PUNCT
ejpam-2335	298	32	from	from	ADP
ejpam-2335	298	33	example	example	NOUN
ejpam-2335	298	34	1	1	NUM
ejpam-2335	298	35	with	with	ADP
ejpam-2335	298	36	ǫ	ǫ	NOUN
ejpam-2335	298	37	=	=	SYM
ejpam-2335	298	38	0.1	0.1	NUM
ejpam-2335	298	39	.	.	PUNCT
ejpam-2335	298	40	x	x	X
ejpam-2335	299	1	n	n	NOUN
ejpam-2335	299	2	=	=	SYM
ejpam-2335	299	3	6	6	NUM
ejpam-2335	299	4	,	,	PUNCT
ejpam-2335	299	5	m	m	VERB
ejpam-2335	299	6	=	=	SYM
ejpam-2335	299	7	5	5	NUM
ejpam-2335	299	8	n	n	NOUN
ejpam-2335	299	9	=	=	SYM
ejpam-2335	299	10	7	7	NUM
ejpam-2335	299	11	,	,	PUNCT
ejpam-2335	299	12	m	m	VERB
ejpam-2335	299	13	=	=	SYM
ejpam-2335	299	14	7	7	NUM
ejpam-2335	299	15	n	n	NOUN
ejpam-2335	299	16	=	=	SYM
ejpam-2335	299	17	8	8	NUM
ejpam-2335	299	18	,	,	PUNCT
ejpam-2335	299	19	m	m	VERB
ejpam-2335	299	20	=	=	NOUN
ejpam-2335	299	21	10	10	NUM
ejpam-2335	299	22	n	n	NOUN
ejpam-2335	299	23	=	=	NUM
ejpam-2335	299	24	11	11	NUM
ejpam-2335	299	25	,	,	PUNCT
ejpam-2335	299	26	m	m	VERB
ejpam-2335	299	27	=	=	NOUN
ejpam-2335	300	1	11	11	NUM
ejpam-2335	300	2	0.2	0.2	NUM
ejpam-2335	300	3	6.9×10−2	6.9×10−2	NUM
ejpam-2335	300	4	1.6×10−2	1.6×10−2	NUM
ejpam-2335	300	5	2.1×10−3	2.1×10−3	NUM
ejpam-2335	300	6	3.5×10−4	3.5×10−4	NUM
ejpam-2335	300	7	0.4	0.4	NUM
ejpam-2335	300	8	1.1×10−1	1.1×10−1	NUM
ejpam-2335	300	9	2.7×10−2	2.7×10−2	NUM
ejpam-2335	300	10	3.5×10−3	3.5×10−3	NUM
ejpam-2335	301	1	5.7×10−4	5.7×10−4	NUM
ejpam-2335	301	2	0.6	0.6	NUM
ejpam-2335	301	3	1.1×10−1	1.1×10−1	NUM
ejpam-2335	301	4	2.7×10−2	2.7×10−2	NUM
ejpam-2335	301	5	3.5×10−3	3.5×10−3	NUM
ejpam-2335	301	6	5.7×10−4	5.7×10−4	NUM
ejpam-2335	301	7	0.8	0.8	NUM
ejpam-2335	301	8	6.9×10−2	6.9×10−2	NUM
ejpam-2335	301	9	1.6×10−2	1.6×10−2	NUM
ejpam-2335	301	10	2.1×10−3	2.1×10−3	NUM
ejpam-2335	301	11	3.5×10−4	3.5×10−4	NUM
ejpam-2335	301	12	f.	f.	PROPN
ejpam-2335	301	13	parzlivand	parzlivand	PROPN
ejpam-2335	301	14	,	,	PUNCT
ejpam-2335	301	15	a.	a.	NOUN
ejpam-2335	301	16	shahrezaee	shahrezaee	PROPN
ejpam-2335	301	17	/	/	SYM
ejpam-2335	301	18	eur	eur	PROPN
ejpam-2335	301	19	.	.	PUNCT
ejpam-2335	302	1	j.	j.	PROPN
ejpam-2335	302	2	pure	pure	PROPN
ejpam-2335	302	3	appl	appl	PROPN
ejpam-2335	302	4	.	.	PROPN
ejpam-2335	302	5	math	math	PROPN
ejpam-2335	302	6	,	,	PUNCT
ejpam-2335	302	7	8	8	NUM
ejpam-2335	302	8	(	(	PUNCT
ejpam-2335	302	9	2015	2015	NUM
ejpam-2335	302	10	)	)	PUNCT
ejpam-2335	302	11	,	,	PUNCT
ejpam-2335	302	12	239	239	NUM
ejpam-2335	302	13	-	-	SYM
ejpam-2335	302	14	254	254	NUM
ejpam-2335	302	15	250	250	NUM
ejpam-2335	302	16	table	table	NOUN
ejpam-2335	302	17	5	5	NUM
ejpam-2335	302	18	:	:	PUNCT
ejpam-2335	302	19	rms	rm	NOUN
ejpam-2335	302	20	errors	error	NOUN
ejpam-2335	302	21	for	for	ADP
ejpam-2335	302	22	u	u	NOUN
ejpam-2335	302	23	,	,	PUNCT
ejpam-2335	302	24	f1	f1	NOUN
ejpam-2335	302	25	and	and	CCONJ
ejpam-2335	302	26	f2	f2	PROPN
ejpam-2335	302	27	for	for	ADP
ejpam-2335	302	28	example	example	NOUN
ejpam-2335	302	29	1	1	NUM
ejpam-2335	302	30	with	with	ADP
ejpam-2335	302	31	ǫ	ǫ	NOUN
ejpam-2335	302	32	=	=	SYM
ejpam-2335	302	33	0.1	0.1	NUM
ejpam-2335	302	34	.	.	PUNCT
ejpam-2335	303	1	error	error	NOUN
ejpam-2335	303	2	n	n	NOUN
ejpam-2335	303	3	=	=	SYM
ejpam-2335	303	4	6	6	NUM
ejpam-2335	303	5	,	,	PUNCT
ejpam-2335	303	6	m	m	VERB
ejpam-2335	303	7	=	=	SYM
ejpam-2335	303	8	5	5	NUM
ejpam-2335	303	9	n	n	NOUN
ejpam-2335	303	10	=	=	SYM
ejpam-2335	303	11	7	7	NUM
ejpam-2335	303	12	,	,	PUNCT
ejpam-2335	303	13	m	m	VERB
ejpam-2335	303	14	=	=	SYM
ejpam-2335	303	15	7	7	NUM
ejpam-2335	303	16	n	n	NOUN
ejpam-2335	303	17	=	=	SYM
ejpam-2335	303	18	8	8	NUM
ejpam-2335	303	19	,	,	PUNCT
ejpam-2335	303	20	m	m	VERB
ejpam-2335	303	21	=	=	NOUN
ejpam-2335	303	22	10	10	NUM
ejpam-2335	303	23	n	n	NOUN
ejpam-2335	303	24	=	=	NUM
ejpam-2335	303	25	11	11	NUM
ejpam-2335	303	26	,	,	PUNCT
ejpam-2335	303	27	m	m	VERB
ejpam-2335	303	28	=	=	SYM
ejpam-2335	303	29	11	11	NUM
ejpam-2335	303	30	rms(u(x	rms(u(x	NOUN
ejpam-2335	303	31	,	,	PUNCT
ejpam-2335	303	32	t	t	PROPN
ejpam-2335	303	33	)	)	PUNCT
ejpam-2335	303	34	)	)	PUNCT
ejpam-2335	303	35	,	,	PUNCT
ejpam-2335	303	36	t	t	PROPN
ejpam-2335	303	37	∈	∈	PROPN
ejpam-2335	304	1	[	[	X
ejpam-2335	304	2	0,1	0,1	NUM
ejpam-2335	304	3	]	]	SYM
ejpam-2335	304	4	2.402e–04	2.402e–04	NUM
ejpam-2335	304	5	1.256e–05	1.256e–05	NUM
ejpam-2335	304	6	3.511e–07	3.511e–07	NUM
ejpam-2335	304	7	1.501e–08	1.501e–08	NUM
ejpam-2335	304	8	rms(u(x	rms(u(x	NOUN
ejpam-2335	304	9	,	,	PUNCT
ejpam-2335	304	10	t	t	PROPN
ejpam-2335	304	11	)	)	PUNCT
ejpam-2335	304	12	)	)	PUNCT
ejpam-2335	304	13	,	,	PUNCT
ejpam-2335	304	14	t	t	PROPN
ejpam-2335	304	15	∈	∈	PROPN
ejpam-2335	305	1	[	[	X
ejpam-2335	305	2	−1,0	−1,0	X
ejpam-2335	305	3	]	]	X
ejpam-2335	305	4	1.104e–02	1.104e–02	NUM
ejpam-2335	305	5	2.220e–03	2.220e–03	NUM
ejpam-2335	305	6	4.749e–04	4.749e–04	NUM
ejpam-2335	305	7	2.951e–05	2.951e–05	NUM
ejpam-2335	305	8	rms	rm	NOUN
ejpam-2335	305	9	(	(	PUNCT
ejpam-2335	305	10	f1(x	f1(x	NOUN
ejpam-2335	305	11	)	)	PUNCT
ejpam-2335	305	12	)	)	PUNCT
ejpam-2335	306	1	2.248e–04	2.248e–04	NUM
ejpam-2335	307	1	2.063e–06	2.063e–06	NUM
ejpam-2335	307	2	1.600e–08	1.600e–08	NUM
ejpam-2335	308	1	7.129e–10	7.129e–10	NUM
ejpam-2335	308	2	rms	rm	NOUN
ejpam-2335	308	3	(	(	PUNCT
ejpam-2335	308	4	f2(x	f2(x	NOUN
ejpam-2335	308	5	)	)	PUNCT
ejpam-2335	308	6	)	)	PUNCT
ejpam-2335	308	7	8.004e–02	8.004e–02	NUM
ejpam-2335	309	1	1.877e–02	1.877e–02	NUM
ejpam-2335	309	2	4.017e–03	4.017e–03	NUM
ejpam-2335	310	1	2.499e–04	2.499e–04	NUM
ejpam-2335	310	2	0	0	NUM
ejpam-2335	310	3	0.2	0.2	NUM
ejpam-2335	310	4	0.4	0.4	NUM
ejpam-2335	310	5	0.6	0.6	NUM
ejpam-2335	310	6	0.8	0.8	NUM
ejpam-2335	310	7	1	1	NUM
ejpam-2335	310	8	x	x	SYM
ejpam-2335	310	9	0	0	NUM
ejpam-2335	310	10	0.2	0.2	NUM
ejpam-2335	310	11	0.4	0.4	NUM
ejpam-2335	310	12	0.6	0.6	NUM
ejpam-2335	310	13	0.8	0.8	NUM
ejpam-2335	310	14	1	1	NUM
ejpam-2335	310	15	t	t	NOUN
ejpam-2335	310	16	0	0	NUM
ejpam-2335	311	1	2e–07	2e–07	NUM
ejpam-2335	311	2	4e–07	4e–07	NUM
ejpam-2335	311	3	6e–07	6e–07	NUM
ejpam-2335	311	4	8e–07	8e–07	NUM
ejpam-2335	311	5	1e–06	1e–06	NUM
ejpam-2335	311	6	1.2e–06	1.2e–06	NUM
ejpam-2335	311	7	1.4e–06	1.4e–06	NUM
ejpam-2335	311	8	1.6e–06	1.6e–06	NUM
ejpam-2335	311	9	(	(	PUNCT
ejpam-2335	311	10	a	a	NOUN
ejpam-2335	311	11	)	)	PUNCT
ejpam-2335	311	12	graph	graph	NOUN
ejpam-2335	311	13	of	of	ADP
ejpam-2335	311	14	|u(x	|u(x	PROPN
ejpam-2335	311	15	,	,	PUNCT
ejpam-2335	311	16	t)−	t)−	PROPN
ejpam-2335	311	17	ũ(x	ũ(x	PROPN
ejpam-2335	311	18	,	,	PUNCT
ejpam-2335	311	19	t)|	t)|	ADJ
ejpam-2335	311	20	on	on	ADP
ejpam-2335	311	21	t	t	PROPN
ejpam-2335	311	22	∈	∈	PROPN
ejpam-2335	312	1	[	[	X
ejpam-2335	312	2	0	0	NUM
ejpam-2335	312	3	,	,	PUNCT
ejpam-2335	312	4	1	1	NUM
ejpam-2335	312	5	]	]	PUNCT
ejpam-2335	312	6	.	.	PUNCT
ejpam-2335	312	7	0	0	NUM
ejpam-2335	312	8	0.2	0.2	NUM
ejpam-2335	312	9	0.4	0.4	NUM
ejpam-2335	312	10	0.6	0.6	NUM
ejpam-2335	312	11	0.8	0.8	NUM
ejpam-2335	312	12	1	1	NUM
ejpam-2335	312	13	x	x	SYM
ejpam-2335	312	14	–	–	PUNCT
ejpam-2335	312	15	1	1	NUM
ejpam-2335	312	16	–	–	PUNCT
ejpam-2335	312	17	0.8	0.8	NUM
ejpam-2335	312	18	–	–	SYM
ejpam-2335	312	19	0.6	0.6	NUM
ejpam-2335	312	20	–	–	PUNCT
ejpam-2335	312	21	0.4	0.4	NUM
ejpam-2335	312	22	–	–	SYM
ejpam-2335	312	23	0.2	0.2	NUM
ejpam-2335	312	24	0	0	NUM
ejpam-2335	312	25	t	t	NOUN
ejpam-2335	312	26	0	0	NUM
ejpam-2335	312	27	2e–05	2e–05	NUM
ejpam-2335	312	28	4e–05	4e–05	NUM
ejpam-2335	312	29	6e–05	6e–05	NUM
ejpam-2335	312	30	8e–05	8e–05	NUM
ejpam-2335	312	31	0.0001	0.0001	NUM
ejpam-2335	312	32	(	(	PUNCT
ejpam-2335	312	33	b	b	NOUN
ejpam-2335	312	34	)	)	PUNCT
ejpam-2335	312	35	graph	graph	NOUN
ejpam-2335	312	36	of	of	ADP
ejpam-2335	312	37	|u(x	|u(x	PROPN
ejpam-2335	312	38	,	,	PUNCT
ejpam-2335	312	39	t)−	t)−	PROPN
ejpam-2335	312	40	ũ(x	ũ(x	PROPN
ejpam-2335	312	41	,	,	PUNCT
ejpam-2335	312	42	t)|	t)|	ADJ
ejpam-2335	312	43	on	on	ADP
ejpam-2335	312	44	t	t	PROPN
ejpam-2335	312	45	∈	∈	PROPN
ejpam-2335	313	1	[	[	X
ejpam-2335	313	2	−1	−1	NOUN
ejpam-2335	313	3	,	,	PUNCT
ejpam-2335	313	4	0	0	NUM
ejpam-2335	313	5	]	]	PUNCT
ejpam-2335	313	6	.	.	PUNCT
ejpam-2335	313	7	0	0	NUM
ejpam-2335	314	1	0.0005	0.0005	NUM
ejpam-2335	314	2	0.001	0.001	NUM
ejpam-2335	314	3	0.0015	0.0015	NUM
ejpam-2335	314	4	0.002	0.002	NUM
ejpam-2335	314	5	0.0025	0.0025	NUM
ejpam-2335	314	6	0.003	0.003	NUM
ejpam-2335	314	7	0.0035	0.0035	NUM
ejpam-2335	314	8	0	0	NUM
ejpam-2335	314	9	0.2	0.2	NUM
ejpam-2335	314	10	0.4	0.4	NUM
ejpam-2335	314	11	0.6	0.6	NUM
ejpam-2335	314	12	0.8	0.8	NUM
ejpam-2335	314	13	1	1	NUM
ejpam-2335	314	14	x	x	SYM
ejpam-2335	314	15	(	(	PUNCT
ejpam-2335	314	16	c	c	NOUN
ejpam-2335	314	17	)	)	PUNCT
ejpam-2335	314	18	graph	graph	NOUN
ejpam-2335	314	19	of	of	ADP
ejpam-2335	314	20	|	|	ADV
ejpam-2335	314	21	f1(x)−	f1(x)−	PROPN
ejpam-2335	314	22	f̃1(x)|	f̃1(x)|	PROPN
ejpam-2335	314	23	.	.	PROPN
ejpam-2335	314	24	0	0	NUM
ejpam-2335	315	1	1e–08	1e–08	NUM
ejpam-2335	315	2	2e–08	2e–08	NUM
ejpam-2335	315	3	3e–08	3e–08	NUM
ejpam-2335	315	4	4e–08	4e–08	NUM
ejpam-2335	315	5	5e–08	5e–08	NUM
ejpam-2335	315	6	6e–08	6e–08	NUM
ejpam-2335	315	7	7e–08	7e–08	NUM
ejpam-2335	315	8	0.2	0.2	NUM
ejpam-2335	315	9	0.4	0.4	NUM
ejpam-2335	315	10	0.6	0.6	NUM
ejpam-2335	315	11	0.8	0.8	NUM
ejpam-2335	315	12	1	1	NUM
ejpam-2335	315	13	x	x	SYM
ejpam-2335	315	14	(	(	PUNCT
ejpam-2335	315	15	d	d	NOUN
ejpam-2335	315	16	)	)	PUNCT
ejpam-2335	315	17	graph	graph	NOUN
ejpam-2335	315	18	of	of	ADP
ejpam-2335	315	19	|	|	ADV
ejpam-2335	315	20	f2(x)−	f2(x)−	NOUN
ejpam-2335	315	21	f̃2(x)|	f̃2(x)|	NOUN
ejpam-2335	315	22	.	.	PUNCT
ejpam-2335	316	1	figure	figure	NOUN
ejpam-2335	316	2	1	1	NUM
ejpam-2335	316	3	:	:	PUNCT
ejpam-2335	316	4	graph	graph	NOUN
ejpam-2335	316	5	of	of	ADP
ejpam-2335	316	6	absolute	absolute	ADJ
ejpam-2335	316	7	error	error	NOUN
ejpam-2335	316	8	for	for	ADP
ejpam-2335	316	9	u	u	NOUN
ejpam-2335	316	10	,	,	PUNCT
ejpam-2335	316	11	f1	f1	NOUN
ejpam-2335	316	12	and	and	CCONJ
ejpam-2335	316	13	f2	f2	PRON
ejpam-2335	316	14	by	by	ADP
ejpam-2335	316	15	using	use	VERB
ejpam-2335	316	16	ga	ga	PROPN
ejpam-2335	316	17	-	-	PUNCT
ejpam-2335	316	18	rbf	rbf	PROPN
ejpam-2335	316	19	for	for	ADP
ejpam-2335	316	20	example	example	NOUN
ejpam-2335	316	21	1	1	NUM
ejpam-2335	316	22	with	with	ADP
ejpam-2335	316	23	n	n	NOUN
ejpam-2335	316	24	=	=	SYM
ejpam-2335	316	25	8	8	NUM
ejpam-2335	316	26	,	,	PUNCT
ejpam-2335	316	27	m	m	VERB
ejpam-2335	316	28	=	=	NOUN
ejpam-2335	316	29	10	10	NUM
ejpam-2335	316	30	and	and	CCONJ
ejpam-2335	316	31	ǫ	ǫ	NOUN
ejpam-2335	316	32	=	=	NOUN
ejpam-2335	316	33	0.1	0.1	NUM
ejpam-2335	316	34	.	.	PUNCT
ejpam-2335	317	1	5.2	5.2	NUM
ejpam-2335	317	2	.	.	PUNCT
ejpam-2335	317	3	example	example	NOUN
ejpam-2335	317	4	2	2	NUM
ejpam-2335	317	5	we	we	PRON
ejpam-2335	317	6	solve	solve	VERB
ejpam-2335	317	7	the	the	DET
ejpam-2335	317	8	problem	problem	NOUN
ejpam-2335	317	9	(	(	PUNCT
ejpam-2335	317	10	2)-(9	2)-(9	NOUN
ejpam-2335	317	11	)	)	PUNCT
ejpam-2335	317	12	with	with	ADP
ejpam-2335	317	13	b	b	NOUN
ejpam-2335	317	14	=	=	SYM
ejpam-2335	317	15	0	0	PROPN
ejpam-2335	317	16	and	and	CCONJ
ejpam-2335	317	17	:	:	PUNCT
ejpam-2335	317	18	g(t	g(t	PROPN
ejpam-2335	317	19	)	)	PUNCT
ejpam-2335	318	1	=	=	PUNCT
ejpam-2335	318	2	¨	¨	NOUN
ejpam-2335	318	3	0	0	NUM
ejpam-2335	318	4	;	;	PUNCT
ejpam-2335	318	5	0	0	NUM
ejpam-2335	318	6	<	<	X
ejpam-2335	318	7	t	t	X
ejpam-2335	318	8	<	<	X
ejpam-2335	318	9	1	1	NUM
ejpam-2335	318	10	,	,	PUNCT
ejpam-2335	318	11	0	0	NUM
ejpam-2335	318	12	;	;	PUNCT
ejpam-2335	318	13	−1	−1	NOUN
ejpam-2335	318	14	<	<	X
ejpam-2335	318	15	t	t	X
ejpam-2335	318	16	<	<	X
ejpam-2335	318	17	0	0	NUM
ejpam-2335	318	18	,	,	PUNCT
ejpam-2335	318	19	h(t	h(t	PROPN
ejpam-2335	318	20	)	)	PUNCT
ejpam-2335	318	21	=	=	PUNCT
ejpam-2335	319	1	¨	¨	NOUN
ejpam-2335	319	2	−3	−3	ADV
ejpam-2335	319	3	;	;	PUNCT
ejpam-2335	319	4	0	0	NUM
ejpam-2335	319	5	<	<	X
ejpam-2335	319	6	t	t	X
ejpam-2335	319	7	<	<	X
ejpam-2335	319	8	1	1	NUM
ejpam-2335	319	9	,	,	PUNCT
ejpam-2335	319	10	2	2	NUM
ejpam-2335	319	11	;	;	PUNCT
ejpam-2335	319	12	−1	−1	NOUN
ejpam-2335	319	13	<	<	X
ejpam-2335	319	14	t	t	X
ejpam-2335	319	15	<	<	X
ejpam-2335	319	16	0	0	NUM
ejpam-2335	319	17	,	,	PUNCT
ejpam-2335	319	18	q(x	q(x	PROPN
ejpam-2335	319	19	)	)	PUNCT
ejpam-2335	320	1	=	=	NUM
ejpam-2335	320	2	2x	2x	NUM
ejpam-2335	320	3	,	,	PUNCT
ejpam-2335	320	4	f.	f.	PROPN
ejpam-2335	320	5	parzlivand	parzlivand	PROPN
ejpam-2335	320	6	,	,	PUNCT
ejpam-2335	320	7	a.	a.	NOUN
ejpam-2335	320	8	shahrezaee	shahrezaee	PROPN
ejpam-2335	320	9	/	/	SYM
ejpam-2335	320	10	eur	eur	PROPN
ejpam-2335	320	11	.	.	PUNCT
ejpam-2335	321	1	j.	j.	PROPN
ejpam-2335	321	2	pure	pure	PROPN
ejpam-2335	321	3	appl	appl	PROPN
ejpam-2335	321	4	.	.	PROPN
ejpam-2335	321	5	math	math	PROPN
ejpam-2335	321	6	,	,	PUNCT
ejpam-2335	321	7	8	8	NUM
ejpam-2335	321	8	(	(	PUNCT
ejpam-2335	321	9	2015	2015	NUM
ejpam-2335	321	10	)	)	PUNCT
ejpam-2335	321	11	,	,	PUNCT
ejpam-2335	321	12	239	239	NUM
ejpam-2335	321	13	-	-	SYM
ejpam-2335	321	14	254	254	NUM
ejpam-2335	321	15	251	251	NUM
ejpam-2335	321	16	ϕ(x	ϕ(x	NOUN
ejpam-2335	321	17	)	)	PUNCT
ejpam-2335	322	1	=	=	SYM
ejpam-2335	322	2	x3	x3	ADJ
ejpam-2335	323	1	−	−	NOUN
ejpam-2335	323	2	3x	3x	NUM
ejpam-2335	323	3	,	,	PUNCT
ejpam-2335	323	4	ψ(x	ψ(x	PROPN
ejpam-2335	323	5	)	)	PUNCT
ejpam-2335	324	1	=	=	SYM
ejpam-2335	324	2	sin(x	sin(x	PROPN
ejpam-2335	324	3	)	)	PUNCT
ejpam-2335	325	1	+	+	NUM
ejpam-2335	325	2	2x	2x	NUM
ejpam-2335	325	3	,	,	PUNCT
ejpam-2335	325	4	the	the	DET
ejpam-2335	325	5	exact	exact	ADJ
ejpam-2335	325	6	solution	solution	NOUN
ejpam-2335	325	7	of	of	ADP
ejpam-2335	325	8	this	this	DET
ejpam-2335	325	9	problem	problem	NOUN
ejpam-2335	325	10	is	be	AUX
ejpam-2335	325	11	:	:	PUNCT
ejpam-2335	325	12	u(x	u(x	PROPN
ejpam-2335	325	13	,	,	PUNCT
ejpam-2335	325	14	t	t	NOUN
ejpam-2335	325	15	)	)	PUNCT
ejpam-2335	325	16	=	=	PUNCT
ejpam-2335	326	1	¨	¨	NOUN
ejpam-2335	326	2	x3	x3	NOUN
ejpam-2335	326	3	−	−	PROPN
ejpam-2335	326	4	3x	3x	PROPN
ejpam-2335	326	5	t	t	PROPN
ejpam-2335	326	6	;	;	PUNCT
ejpam-2335	326	7	0	0	NUM
ejpam-2335	326	8	<	<	X
ejpam-2335	326	9	t	t	X
ejpam-2335	326	10	<	<	X
ejpam-2335	326	11	1	1	NUM
ejpam-2335	326	12	,	,	PUNCT
ejpam-2335	326	13	sin(x	sin(x	PROPN
ejpam-2335	326	14	)	)	PUNCT
ejpam-2335	327	1	+	+	NUM
ejpam-2335	327	2	2x	2x	NUM
ejpam-2335	327	3	t	t	NOUN
ejpam-2335	327	4	;	;	PUNCT
ejpam-2335	327	5	−1	−1	X
ejpam-2335	327	6	<	<	X
ejpam-2335	327	7	t	t	X
ejpam-2335	327	8	<	<	X
ejpam-2335	327	9	0	0	NUM
ejpam-2335	327	10	,	,	PUNCT
ejpam-2335	327	11	,	,	PUNCT
ejpam-2335	327	12	¨	¨	NOUN
ejpam-2335	327	13	f1(x	f1(x	NUM
ejpam-2335	327	14	)	)	PUNCT
ejpam-2335	327	15	=	=	SYM
ejpam-2335	328	1	−9x	−9x	PROPN
ejpam-2335	328	2	,	,	PUNCT
ejpam-2335	328	3	f2(x	f2(x	PROPN
ejpam-2335	328	4	)	)	PUNCT
ejpam-2335	328	5	=	=	SYM
ejpam-2335	328	6	sin(x	sin(x	PROPN
ejpam-2335	328	7	)	)	PUNCT
ejpam-2335	328	8	.	.	PUNCT
ejpam-2335	329	1	table	table	NOUN
ejpam-2335	329	2	6	6	NUM
ejpam-2335	329	3	shows	show	VERB
ejpam-2335	329	4	the	the	DET
ejpam-2335	329	5	rms	rm	NOUN
ejpam-2335	329	6	error	error	NOUN
ejpam-2335	329	7	values	value	NOUN
ejpam-2335	329	8	for	for	ADP
ejpam-2335	329	9	u(x	u(x	NOUN
ejpam-2335	329	10	,	,	PUNCT
ejpam-2335	329	11	t	t	PROPN
ejpam-2335	329	12	)	)	PUNCT
ejpam-2335	329	13	f1(x	f1(x	NUM
ejpam-2335	329	14	)	)	PUNCT
ejpam-2335	329	15	and	and	CCONJ
ejpam-2335	329	16	f2(x	f2(x	NUM
ejpam-2335	329	17	)	)	PUNCT
ejpam-2335	329	18	for	for	ADP
ejpam-2335	329	19	various	various	ADJ
ejpam-2335	329	20	values	value	NOUN
ejpam-2335	329	21	of	of	ADP
ejpam-2335	329	22	n	n	PRON
ejpam-2335	329	23	and	and	CCONJ
ejpam-2335	329	24	m	m	PROPN
ejpam-2335	329	25	.	.	PUNCT
ejpam-2335	330	1	also	also	ADV
ejpam-2335	330	2	,	,	PUNCT
ejpam-2335	330	3	the	the	DET
ejpam-2335	330	4	graphs	graph	NOUN
ejpam-2335	330	5	of	of	ADP
ejpam-2335	330	6	the	the	DET
ejpam-2335	330	7	error	error	NOUN
ejpam-2335	330	8	functions	function	NOUN
ejpam-2335	330	9	|u(x	|u(x	NOUN
ejpam-2335	330	10	,	,	PUNCT
ejpam-2335	330	11	t)−	t)−	PROPN
ejpam-2335	330	12	ũ(x	ũ(x	PROPN
ejpam-2335	330	13	,	,	PUNCT
ejpam-2335	330	14	t)|	t)|	ADJ
ejpam-2335	330	15	on	on	ADP
ejpam-2335	330	16	the	the	DET
ejpam-2335	330	17	interval	interval	NOUN
ejpam-2335	330	18	t	t	PROPN
ejpam-2335	330	19	∈	∈	PROPN
ejpam-2335	331	1	[	[	X
ejpam-2335	331	2	0,1	0,1	NUM
ejpam-2335	331	3	]	]	PUNCT
ejpam-2335	331	4	and	and	CCONJ
ejpam-2335	331	5	t	t	PROPN
ejpam-2335	331	6	∈	∈	PROPN
ejpam-2335	332	1	[	[	X
ejpam-2335	332	2	−1,0	−1,0	X
ejpam-2335	332	3	]	]	PUNCT
ejpam-2335	332	4	are	be	AUX
ejpam-2335	332	5	plotted	plot	VERB
ejpam-2335	332	6	in	in	ADP
ejpam-2335	332	7	figure	figure	NOUN
ejpam-2335	332	8	2	2	NUM
ejpam-2335	332	9	.	.	PUNCT
ejpam-2335	332	10	table	table	NOUN
ejpam-2335	332	11	6	6	NUM
ejpam-2335	332	12	:	:	PUNCT
ejpam-2335	332	13	rms	rm	NOUN
ejpam-2335	332	14	errors	error	NOUN
ejpam-2335	332	15	for	for	ADP
ejpam-2335	332	16	u	u	NOUN
ejpam-2335	332	17	,	,	PUNCT
ejpam-2335	332	18	f1	f1	NOUN
ejpam-2335	332	19	and	and	CCONJ
ejpam-2335	332	20	f2	f2	PROPN
ejpam-2335	332	21	for	for	ADP
ejpam-2335	332	22	example	example	NOUN
ejpam-2335	332	23	2	2	NUM
ejpam-2335	332	24	with	with	ADP
ejpam-2335	332	25	ǫ	ǫ	NOUN
ejpam-2335	332	26	=	=	SYM
ejpam-2335	332	27	0.1	0.1	NUM
ejpam-2335	332	28	.	.	PUNCT
ejpam-2335	333	1	error	error	NOUN
ejpam-2335	333	2	n	n	NOUN
ejpam-2335	333	3	=	=	SYM
ejpam-2335	333	4	6	6	NUM
ejpam-2335	333	5	,	,	PUNCT
ejpam-2335	333	6	m	m	VERB
ejpam-2335	333	7	=	=	SYM
ejpam-2335	333	8	5	5	NUM
ejpam-2335	333	9	n	n	NOUN
ejpam-2335	333	10	=	=	SYM
ejpam-2335	333	11	7	7	NUM
ejpam-2335	333	12	,	,	PUNCT
ejpam-2335	333	13	m	m	VERB
ejpam-2335	333	14	=	=	SYM
ejpam-2335	333	15	7	7	NUM
ejpam-2335	333	16	n	n	NOUN
ejpam-2335	333	17	=	=	SYM
ejpam-2335	333	18	8	8	NUM
ejpam-2335	333	19	,	,	PUNCT
ejpam-2335	333	20	m	m	VERB
ejpam-2335	333	21	=	=	NOUN
ejpam-2335	333	22	10	10	NUM
ejpam-2335	333	23	n	n	NOUN
ejpam-2335	333	24	=	=	NUM
ejpam-2335	333	25	11	11	NUM
ejpam-2335	333	26	,	,	PUNCT
ejpam-2335	333	27	m	m	VERB
ejpam-2335	333	28	=	=	SYM
ejpam-2335	333	29	11	11	NUM
ejpam-2335	333	30	rms(u(x	rms(u(x	NOUN
ejpam-2335	333	31	,	,	PUNCT
ejpam-2335	333	32	t	t	PROPN
ejpam-2335	333	33	)	)	PUNCT
ejpam-2335	333	34	)	)	PUNCT
ejpam-2335	333	35	,	,	PUNCT
ejpam-2335	333	36	t	t	PROPN
ejpam-2335	333	37	∈	∈	PROPN
ejpam-2335	334	1	[	[	X
ejpam-2335	334	2	0,1	0,1	NUM
ejpam-2335	334	3	]	]	X
ejpam-2335	334	4	4.698e–10	4.698e–10	NUM
ejpam-2335	334	5	1.541e–10	1.541e–10	NOUN
ejpam-2335	334	6	1.835e–13	1.835e–13	NUM
ejpam-2335	334	7	4.716e–15	4.716e–15	NUM
ejpam-2335	334	8	rms(u(x	rms(u(x	VERB
ejpam-2335	334	9	,	,	PUNCT
ejpam-2335	334	10	t	t	PROPN
ejpam-2335	334	11	)	)	PUNCT
ejpam-2335	334	12	)	)	PUNCT
ejpam-2335	334	13	,	,	PUNCT
ejpam-2335	334	14	t	t	PROPN
ejpam-2335	334	15	∈	∈	PROPN
ejpam-2335	335	1	[	[	X
ejpam-2335	335	2	−1,0	−1,0	X
ejpam-2335	335	3	]	]	X
ejpam-2335	335	4	4.704e–08	4.704e–08	NUM
ejpam-2335	336	1	1.112e–08	1.112e–08	NUM
ejpam-2335	336	2	2.650e–10	2.650e–10	NUM
ejpam-2335	336	3	1.111e–12	1.111e–12	NUM
ejpam-2335	336	4	rms	rm	NOUN
ejpam-2335	336	5	(	(	PUNCT
ejpam-2335	336	6	f1(x	f1(x	NOUN
ejpam-2335	336	7	)	)	PUNCT
ejpam-2335	336	8	)	)	PUNCT
ejpam-2335	337	1	1.222e–09	1.222e–09	NUM
ejpam-2335	337	2	2.565e–10	2.565e–10	NUM
ejpam-2335	337	3	4.910e–13	4.910e–13	NUM
ejpam-2335	337	4	2.001e–14	2.001e–14	NUM
ejpam-2335	337	5	rms	rm	NOUN
ejpam-2335	337	6	(	(	PUNCT
ejpam-2335	337	7	f2(x	f2(x	PROPN
ejpam-2335	337	8	)	)	PUNCT
ejpam-2335	337	9	)	)	PUNCT
ejpam-2335	338	1	3.697e–007	3.697e–007	NUM
ejpam-2335	339	1	1.091e–07	1.091e–07	NUM
ejpam-2335	339	2	7.141e–10	7.141e–10	NUM
ejpam-2335	339	3	8.304e–11	8.304e–11	NUM
ejpam-2335	339	4	0	0	NUM
ejpam-2335	339	5	0.2	0.2	NUM
ejpam-2335	339	6	0.4	0.4	NUM
ejpam-2335	339	7	0.6	0.6	NUM
ejpam-2335	339	8	0.8	0.8	NUM
ejpam-2335	339	9	1	1	NUM
ejpam-2335	339	10	x	x	SYM
ejpam-2335	339	11	0	0	NUM
ejpam-2335	339	12	0.2	0.2	NUM
ejpam-2335	339	13	0.4	0.4	NUM
ejpam-2335	339	14	0.6	0.6	NUM
ejpam-2335	339	15	0.8	0.8	NUM
ejpam-2335	339	16	1	1	NUM
ejpam-2335	339	17	t	t	NOUN
ejpam-2335	339	18	0	0	NUM
ejpam-2335	340	1	2e–10	2e–10	NUM
ejpam-2335	340	2	4e–10	4e–10	NUM
ejpam-2335	340	3	6e–10	6e–10	NUM
ejpam-2335	340	4	8e–10	8e–10	NUM
ejpam-2335	340	5	1e–09	1e–09	NUM
ejpam-2335	340	6	1.2e–09	1.2e–09	NUM
ejpam-2335	340	7	1.4e–09	1.4e–09	NUM
ejpam-2335	340	8	1.6e–09	1.6e–09	NUM
ejpam-2335	340	9	(	(	PUNCT
ejpam-2335	340	10	a	a	NOUN
ejpam-2335	340	11	)	)	PUNCT
ejpam-2335	340	12	graph	graph	NOUN
ejpam-2335	340	13	of	of	ADP
ejpam-2335	340	14	|u(x	|u(x	PROPN
ejpam-2335	340	15	,	,	PUNCT
ejpam-2335	340	16	t)−	t)−	PROPN
ejpam-2335	340	17	ũ(x	ũ(x	PROPN
ejpam-2335	340	18	,	,	PUNCT
ejpam-2335	340	19	t)|	t)|	ADJ
ejpam-2335	340	20	on	on	ADP
ejpam-2335	340	21	t	t	PROPN
ejpam-2335	340	22	∈	∈	PROPN
ejpam-2335	341	1	[	[	X
ejpam-2335	341	2	0	0	NUM
ejpam-2335	341	3	,	,	PUNCT
ejpam-2335	341	4	1	1	NUM
ejpam-2335	341	5	]	]	PUNCT
ejpam-2335	341	6	.	.	PUNCT
ejpam-2335	341	7	0	0	NUM
ejpam-2335	341	8	0.2	0.2	NUM
ejpam-2335	341	9	0.4	0.4	NUM
ejpam-2335	341	10	0.6	0.6	NUM
ejpam-2335	341	11	0.8	0.8	NUM
ejpam-2335	341	12	1	1	NUM
ejpam-2335	341	13	x	x	SYM
ejpam-2335	341	14	–	–	PUNCT
ejpam-2335	341	15	1	1	NUM
ejpam-2335	341	16	–	–	PUNCT
ejpam-2335	341	17	0.8	0.8	NUM
ejpam-2335	341	18	–	–	SYM
ejpam-2335	341	19	0.6	0.6	NUM
ejpam-2335	341	20	–	–	PUNCT
ejpam-2335	341	21	0.4	0.4	NUM
ejpam-2335	341	22	–	–	SYM
ejpam-2335	341	23	0.2	0.2	NUM
ejpam-2335	341	24	0	0	NUM
ejpam-2335	341	25	t	t	NOUN
ejpam-2335	341	26	0	0	NUM
ejpam-2335	342	1	2e–08	2e–08	NUM
ejpam-2335	342	2	4e–08	4e–08	NUM
ejpam-2335	342	3	6e–08	6e–08	NUM
ejpam-2335	342	4	8e–08	8e–08	NUM
ejpam-2335	342	5	1e–07	1e–07	NUM
ejpam-2335	342	6	(	(	PUNCT
ejpam-2335	342	7	b	b	NOUN
ejpam-2335	342	8	)	)	PUNCT
ejpam-2335	342	9	graph	graph	NOUN
ejpam-2335	342	10	of	of	ADP
ejpam-2335	342	11	|u(x	|u(x	PROPN
ejpam-2335	342	12	,	,	PUNCT
ejpam-2335	342	13	t)−	t)−	PROPN
ejpam-2335	342	14	ũ(x	ũ(x	PROPN
ejpam-2335	342	15	,	,	PUNCT
ejpam-2335	342	16	t)|	t)|	ADJ
ejpam-2335	342	17	on	on	ADP
ejpam-2335	342	18	t	t	PROPN
ejpam-2335	342	19	∈	∈	PROPN
ejpam-2335	343	1	[	[	X
ejpam-2335	343	2	−1	−1	NOUN
ejpam-2335	343	3	,	,	PUNCT
ejpam-2335	343	4	0	0	NUM
ejpam-2335	343	5	]	]	PUNCT
ejpam-2335	343	6	.	.	PUNCT
ejpam-2335	344	1	figure	figure	NOUN
ejpam-2335	344	2	2	2	NUM
ejpam-2335	344	3	:	:	PUNCT
ejpam-2335	344	4	graph	graph	NOUN
ejpam-2335	344	5	of	of	ADP
ejpam-2335	344	6	absolute	absolute	ADJ
ejpam-2335	344	7	error	error	NOUN
ejpam-2335	344	8	for	for	ADP
ejpam-2335	344	9	u	u	NOUN
ejpam-2335	344	10	by	by	ADP
ejpam-2335	344	11	using	use	VERB
ejpam-2335	344	12	ga	ga	PROPN
ejpam-2335	344	13	-	-	PUNCT
ejpam-2335	344	14	rbf	rbf	PROPN
ejpam-2335	344	15	for	for	ADP
ejpam-2335	344	16	example	example	NOUN
ejpam-2335	344	17	2	2	NUM
ejpam-2335	344	18	with	with	ADP
ejpam-2335	344	19	n	n	NOUN
ejpam-2335	344	20	=	=	SYM
ejpam-2335	344	21	6	6	NUM
ejpam-2335	344	22	,	,	PUNCT
ejpam-2335	344	23	m	m	VERB
ejpam-2335	344	24	=	=	NOUN
ejpam-2335	344	25	5	5	NUM
ejpam-2335	344	26	and	and	CCONJ
ejpam-2335	344	27	ǫ	ǫ	NOUN
ejpam-2335	345	1	=	=	NOUN
ejpam-2335	345	2	0.1	0.1	NUM
ejpam-2335	345	3	.	.	NOUN
ejpam-2335	346	1	6	6	NUM
ejpam-2335	346	2	.	.	X
ejpam-2335	346	3	conclusion	conclusion	NOUN
ejpam-2335	346	4	in	in	ADP
ejpam-2335	346	5	this	this	DET
ejpam-2335	346	6	paper	paper	NOUN
ejpam-2335	346	7	,	,	PUNCT
ejpam-2335	346	8	we	we	PRON
ejpam-2335	346	9	presented	present	VERB
ejpam-2335	346	10	a	a	DET
ejpam-2335	346	11	numerical	numerical	ADJ
ejpam-2335	346	12	scheme	scheme	NOUN
ejpam-2335	346	13	for	for	ADP
ejpam-2335	346	14	solving	solve	VERB
ejpam-2335	346	15	an	an	DET
ejpam-2335	346	16	inverse	inverse	NOUN
ejpam-2335	346	17	problem	problem	NOUN
ejpam-2335	346	18	to	to	ADP
ejpam-2335	346	19	a	a	DET
ejpam-2335	346	20	class	class	NOUN
ejpam-2335	346	21	of	of	ADP
ejpam-2335	346	22	mixed	mixed	ADJ
ejpam-2335	346	23	parabolic	parabolic	ADJ
ejpam-2335	346	24	-	-	PUNCT
ejpam-2335	346	25	hyperbolic	hyperbolic	ADJ
ejpam-2335	346	26	equation	equation	NOUN
ejpam-2335	346	27	.	.	PUNCT
ejpam-2335	347	1	this	this	DET
ejpam-2335	347	2	inverse	inverse	ADJ
ejpam-2335	347	3	problem	problem	NOUN
ejpam-2335	347	4	related	relate	VERB
ejpam-2335	347	5	to	to	ADP
ejpam-2335	347	6	finding	find	VERB
ejpam-2335	347	7	the	the	DET
ejpam-2335	347	8	unknown	unknown	ADJ
ejpam-2335	347	9	right	right	ADJ
ejpam-2335	347	10	-	-	PUNCT
ejpam-2335	347	11	hand	hand	NOUN
ejpam-2335	347	12	side	side	NOUN
ejpam-2335	347	13	of	of	ADP
ejpam-2335	347	14	the	the	DET
ejpam-2335	347	15	equation	equation	NOUN
ejpam-2335	347	16	of	of	ADP
ejpam-2335	347	17	mixed	mixed	ADJ
ejpam-2335	347	18	parabolic	parabolic	ADJ
ejpam-2335	347	19	-	-	PUNCT
ejpam-2335	347	20	hyperbolic	hyperbolic	ADJ
ejpam-2335	347	21	type	type	NOUN
ejpam-2335	347	22	in	in	ADP
ejpam-2335	347	23	a	a	DET
ejpam-2335	347	24	rectangular	rectangular	ADJ
ejpam-2335	347	25	domain	domain	NOUN
ejpam-2335	347	26	.	.	PUNCT
ejpam-2335	348	1	the	the	DET
ejpam-2335	348	2	ga	ga	PROPN
ejpam-2335	348	3	-	-	PUNCT
ejpam-2335	348	4	rbfs	rbfs	NOUN
ejpam-2335	348	5	were	be	AUX
ejpam-2335	348	6	employed	employ	VERB
ejpam-2335	348	7	.	.	PUNCT
ejpam-2335	349	1	this	this	DET
ejpam-2335	349	2	method	method	NOUN
ejpam-2335	349	3	is	be	AUX
ejpam-2335	349	4	meshless	meshless	ADJ
ejpam-2335	349	5	,	,	PUNCT
ejpam-2335	349	6	so	so	SCONJ
ejpam-2335	349	7	that	that	SCONJ
ejpam-2335	349	8	unknown	unknown	ADJ
ejpam-2335	349	9	boundary	boundary	NOUN
ejpam-2335	349	10	does	do	AUX
ejpam-2335	349	11	not	not	PART
ejpam-2335	349	12	require	require	VERB
ejpam-2335	349	13	to	to	PART
ejpam-2335	349	14	discretization	discretization	VERB
ejpam-2335	349	15	.	.	PUNCT
ejpam-2335	350	1	using	use	VERB
ejpam-2335	350	2	this	this	DET
ejpam-2335	350	3	method	method	NOUN
ejpam-2335	350	4	,	,	PUNCT
ejpam-2335	350	5	a	a	DET
ejpam-2335	350	6	rapid	rapid	ADJ
ejpam-2335	350	7	convergent	convergent	NOUN
ejpam-2335	350	8	solution	solution	NOUN
ejpam-2335	350	9	is	be	AUX
ejpam-2335	350	10	produced	produce	VERB
ejpam-2335	350	11	which	which	PRON
ejpam-2335	350	12	tends	tend	VERB
ejpam-2335	350	13	to	to	ADP
ejpam-2335	350	14	the	the	DET
ejpam-2335	350	15	exact	exact	ADJ
ejpam-2335	350	16	solution	solution	NOUN
ejpam-2335	350	17	of	of	ADP
ejpam-2335	350	18	the	the	DET
ejpam-2335	350	19	problem	problem	NOUN
ejpam-2335	350	20	.	.	PUNCT
ejpam-2335	351	1	illustrative	illustrative	ADJ
ejpam-2335	351	2	examples	example	NOUN
ejpam-2335	351	3	are	be	AUX
ejpam-2335	351	4	included	include	VERB
ejpam-2335	351	5	to	to	PART
ejpam-2335	351	6	demonstrate	demonstrate	VERB
ejpam-2335	351	7	the	the	DET
ejpam-2335	351	8	validity	validity	NOUN
ejpam-2335	351	9	and	and	CCONJ
ejpam-2335	351	10	applicability	applicability	NOUN
ejpam-2335	351	11	of	of	ADP
ejpam-2335	351	12	the	the	DET
ejpam-2335	351	13	technique	technique	NOUN
ejpam-2335	351	14	.	.	PUNCT
ejpam-2335	352	1	references	reference	NOUN
ejpam-2335	352	2	252	252	NUM
ejpam-2335	352	3	acknowledgements	acknowledgement	NOUN
ejpam-2335	352	4	we	we	PRON
ejpam-2335	352	5	would	would	AUX
ejpam-2335	352	6	like	like	VERB
ejpam-2335	352	7	to	to	PART
ejpam-2335	352	8	thank	thank	VERB
ejpam-2335	352	9	the	the	DET
ejpam-2335	352	10	anonymous	anonymous	ADJ
ejpam-2335	352	11	referees	referee	NOUN
ejpam-2335	352	12	for	for	ADP
ejpam-2335	352	13	their	their	PRON
ejpam-2335	352	14	valuable	valuable	ADJ
ejpam-2335	352	15	comments	comment	NOUN
ejpam-2335	352	16	and	and	CCONJ
ejpam-2335	352	17	helpful	helpful	ADJ
ejpam-2335	352	18	suggestions	suggestion	NOUN
ejpam-2335	352	19	to	to	PART
ejpam-2335	352	20	improve	improve	VERB
ejpam-2335	352	21	the	the	DET
ejpam-2335	352	22	final	final	ADJ
ejpam-2335	352	23	manuscript	manuscript	NOUN
ejpam-2335	352	24	.	.	PUNCT
ejpam-2335	353	1	references	reference	NOUN
ejpam-2335	353	2	[	[	X
ejpam-2335	353	3	1	1	X
ejpam-2335	353	4	]	]	PUNCT
ejpam-2335	353	5	a	a	DET
ejpam-2335	353	6	s	s	X
ejpam-2335	353	7	berdyshev	berdyshev	NOUN
ejpam-2335	353	8	and	and	CCONJ
ejpam-2335	353	9	e	e	PROPN
ejpam-2335	353	10	t	t	PROPN
ejpam-2335	353	11	karimov	karimov	NOUN
ejpam-2335	353	12	.	.	PUNCT
ejpam-2335	354	1	some	some	DET
ejpam-2335	354	2	non	non	ADJ
ejpam-2335	354	3	-	-	ADJ
ejpam-2335	354	4	local	local	ADJ
ejpam-2335	354	5	problems	problem	NOUN
ejpam-2335	354	6	for	for	ADP
ejpam-2335	354	7	the	the	DET
ejpam-2335	354	8	parabolic	parabolic	ADJ
ejpam-2335	354	9	-	-	PUNCT
ejpam-2335	354	10	hyperbolic	hyperbolic	ADJ
ejpam-2335	354	11	type	type	NOUN
ejpam-2335	354	12	equation	equation	NOUN
ejpam-2335	354	13	with	with	ADP
ejpam-2335	354	14	non	non	ADJ
ejpam-2335	354	15	-	-	ADJ
ejpam-2335	354	16	characteristic	characteristic	ADJ
ejpam-2335	354	17	line	line	NOUN
ejpam-2335	354	18	of	of	ADP
ejpam-2335	354	19	changing	change	VERB
ejpam-2335	354	20	type	type	NOUN
ejpam-2335	354	21	.	.	PUNCT
ejpam-2335	355	1	central	central	ADJ
ejpam-2335	355	2	european	european	PROPN
ejpam-2335	355	3	journal	journal	PROPN
ejpam-2335	355	4	of	of	ADP
ejpam-2335	355	5	mathematics	mathematics	PROPN
ejpam-2335	355	6	,	,	PUNCT
ejpam-2335	355	7	4(2):183–193	4(2):183–193	NUM
ejpam-2335	355	8	,	,	PUNCT
ejpam-2335	355	9	2006	2006	NUM
ejpam-2335	355	10	.	.	PUNCT
ejpam-2335	356	1	[	[	X
ejpam-2335	356	2	2	2	X
ejpam-2335	356	3	]	]	X
ejpam-2335	356	4	kh	kh	PROPN
ejpam-2335	356	5	g	g	PROPN
ejpam-2335	356	6	bzhikhatlov	bzhikhatlov	PROPN
ejpam-2335	356	7	and	and	CCONJ
ejpam-2335	356	8	a	a	DET
ejpam-2335	356	9	m	m	NOUN
ejpam-2335	356	10	nakhushev	nakhushev	NOUN
ejpam-2335	356	11	.	.	PUNCT
ejpam-2335	357	1	a	a	DET
ejpam-2335	357	2	boundary	boundary	ADJ
ejpam-2335	357	3	value	value	NOUN
ejpam-2335	357	4	problem	problem	NOUN
ejpam-2335	357	5	for	for	ADP
ejpam-2335	357	6	a	a	DET
ejpam-2335	357	7	mixed	mixed	ADJ
ejpam-2335	357	8	equation	equation	NOUN
ejpam-2335	357	9	of	of	ADP
ejpam-2335	357	10	parabolic	parabolic	ADJ
ejpam-2335	357	11	-	-	PUNCT
ejpam-2335	357	12	hyperbolic	hyperbolic	ADJ
ejpam-2335	357	13	type	type	NOUN
ejpam-2335	357	14	.	.	PUNCT
ejpam-2335	358	1	doklady	doklady	PROPN
ejpam-2335	358	2	akademii	akademii	PROPN
ejpam-2335	358	3	nauk	nauk	PROPN
ejpam-2335	358	4	,	,	PUNCT
ejpam-2335	358	5	183(2):261–264	183(2):261–264	NUM
ejpam-2335	358	6	,	,	PUNCT
ejpam-2335	358	7	1968	1968	NUM
ejpam-2335	358	8	.	.	PUNCT
ejpam-2335	359	1	[	[	X
ejpam-2335	359	2	3	3	X
ejpam-2335	359	3	]	]	PUNCT
ejpam-2335	359	4	a	a	DET
ejpam-2335	359	5	h	h	NOUN
ejpam-2335	359	6	d	d	PROPN
ejpam-2335	359	7	cheng	cheng	PROPN
ejpam-2335	359	8	,	,	PUNCT
ejpam-2335	359	9	m	m	VERB
ejpam-2335	359	10	a	a	DET
ejpam-2335	359	11	golberg	golberg	NOUN
ejpam-2335	359	12	,	,	PUNCT
ejpam-2335	359	13	e	e	PROPN
ejpam-2335	359	14	j	j	PROPN
ejpam-2335	359	15	kansa	kansa	PROPN
ejpam-2335	359	16	,	,	PUNCT
ejpam-2335	359	17	and	and	CCONJ
ejpam-2335	359	18	q	q	PROPN
ejpam-2335	359	19	zammito	zammito	X
ejpam-2335	359	20	.	.	PUNCT
ejpam-2335	359	21	exponential	exponential	ADJ
ejpam-2335	359	22	convergence	convergence	NOUN
ejpam-2335	359	23	and	and	CCONJ
ejpam-2335	359	24	hc	hc	PRON
ejpam-2335	359	25	multiquadric	multiquadric	ADJ
ejpam-2335	359	26	collocation	collocation	NOUN
ejpam-2335	359	27	method	method	NOUN
ejpam-2335	359	28	for	for	ADP
ejpam-2335	359	29	partial	partial	ADJ
ejpam-2335	359	30	differential	differential	ADJ
ejpam-2335	359	31	equations	equation	NOUN
ejpam-2335	359	32	.	.	PUNCT
ejpam-2335	360	1	numerical	numerical	ADJ
ejpam-2335	360	2	methods	method	NOUN
ejpam-2335	360	3	partial	partial	ADJ
ejpam-2335	360	4	differential	differential	NOUN
ejpam-2335	360	5	equations	equation	NOUN
ejpam-2335	360	6	,	,	PUNCT
ejpam-2335	360	7	19:571–594	19:571–594	NUM
ejpam-2335	360	8	,	,	PUNCT
ejpam-2335	360	9	2003	2003	NUM
ejpam-2335	360	10	.	.	PUNCT
ejpam-2335	361	1	[	[	X
ejpam-2335	361	2	4	4	X
ejpam-2335	361	3	]	]	X
ejpam-2335	361	4	m	m	VERB
ejpam-2335	361	5	dehghan	dehghan	ADJ
ejpam-2335	361	6	and	and	CCONJ
ejpam-2335	361	7	a	a	DET
ejpam-2335	361	8	shokri	shokri	NOUN
ejpam-2335	361	9	.	.	PUNCT
ejpam-2335	362	1	numerical	numerical	ADJ
ejpam-2335	362	2	solution	solution	NOUN
ejpam-2335	362	3	of	of	ADP
ejpam-2335	362	4	the	the	DET
ejpam-2335	362	5	nonlinear	nonlinear	PROPN
ejpam-2335	362	6	klein	klein	PROPN
ejpam-2335	362	7	-	-	PUNCT
ejpam-2335	362	8	gordon	gordon	PROPN
ejpam-2335	362	9	equation	equation	NOUN
ejpam-2335	362	10	using	use	VERB
ejpam-2335	362	11	radial	radial	ADJ
ejpam-2335	362	12	basis	basis	NOUN
ejpam-2335	362	13	functions	function	NOUN
ejpam-2335	362	14	.	.	PUNCT
ejpam-2335	363	1	journal	journal	NOUN
ejpam-2335	363	2	of	of	ADP
ejpam-2335	363	3	computational	computational	ADJ
ejpam-2335	363	4	and	and	CCONJ
ejpam-2335	363	5	applied	applied	ADJ
ejpam-2335	363	6	mathematic	mathematic	ADJ
ejpam-2335	363	7	,	,	PUNCT
ejpam-2335	363	8	230:400	230:400	NUM
ejpam-2335	363	9	–	–	PUNCT
ejpam-2335	363	10	410	410	NUM
ejpam-2335	363	11	,	,	PUNCT
ejpam-2335	363	12	2009	2009	NUM
ejpam-2335	363	13	.	.	PUNCT
ejpam-2335	364	1	[	[	X
ejpam-2335	364	2	5	5	NUM
ejpam-2335	364	3	]	]	PUNCT
ejpam-2335	364	4	m	m	VERB
ejpam-2335	364	5	dehghan	dehghan	ADJ
ejpam-2335	364	6	and	and	CCONJ
ejpam-2335	364	7	m	m	VERB
ejpam-2335	364	8	tatari	tatari	ADJ
ejpam-2335	364	9	.	.	PUNCT
ejpam-2335	365	1	use	use	NOUN
ejpam-2335	365	2	of	of	ADP
ejpam-2335	365	3	radial	radial	ADJ
ejpam-2335	365	4	basis	basis	NOUN
ejpam-2335	365	5	functions	function	NOUN
ejpam-2335	365	6	for	for	ADP
ejpam-2335	365	7	solving	solve	VERB
ejpam-2335	365	8	the	the	DET
ejpam-2335	365	9	second	second	ADJ
ejpam-2335	365	10	-	-	PUNCT
ejpam-2335	365	11	order	order	NOUN
ejpam-2335	365	12	parabolic	parabolic	ADJ
ejpam-2335	365	13	equation	equation	NOUN
ejpam-2335	365	14	with	with	ADP
ejpam-2335	365	15	nonlocal	nonlocal	ADJ
ejpam-2335	365	16	boundary	boundary	ADJ
ejpam-2335	365	17	conditions	condition	NOUN
ejpam-2335	365	18	.	.	PUNCT
ejpam-2335	366	1	numerical	numerical	ADJ
ejpam-2335	366	2	methods	method	NOUN
ejpam-2335	366	3	for	for	ADP
ejpam-2335	366	4	partial	partial	ADJ
ejpam-2335	366	5	differential	differential	NOUN
ejpam-2335	366	6	equations	equation	NOUN
ejpam-2335	366	7	,	,	PUNCT
ejpam-2335	366	8	24:924–938	24:924–938	NUM
ejpam-2335	366	9	,	,	PUNCT
ejpam-2335	366	10	2008	2008	NUM
ejpam-2335	366	11	.	.	PUNCT
ejpam-2335	367	1	[	[	X
ejpam-2335	367	2	6	6	NUM
ejpam-2335	367	3	]	]	PUNCT
ejpam-2335	367	4	g	g	PROPN
ejpam-2335	367	5	fasshauer	fasshauer	NOUN
ejpam-2335	367	6	and	and	CCONJ
ejpam-2335	367	7	j	j	PROPN
ejpam-2335	367	8	zhang	zhang	PROPN
ejpam-2335	367	9	.	.	PUNCT
ejpam-2335	368	1	on	on	ADP
ejpam-2335	368	2	choosing	choose	VERB
ejpam-2335	368	3	"	"	PUNCT
ejpam-2335	368	4	optimal	optimal	ADJ
ejpam-2335	368	5	"	"	PUNCT
ejpam-2335	368	6	shape	shape	NOUN
ejpam-2335	368	7	parameters	parameter	NOUN
ejpam-2335	368	8	for	for	ADP
ejpam-2335	368	9	rbf	rbf	PROPN
ejpam-2335	368	10	approximation	approximation	NOUN
ejpam-2335	368	11	.	.	PUNCT
ejpam-2335	369	1	numerical	numerical	ADJ
ejpam-2335	369	2	algorithms	algorithms	PROPN
ejpam-2335	369	3	,	,	PUNCT
ejpam-2335	369	4	45:346–368	45:346–368	PROPN
ejpam-2335	369	5	,	,	PUNCT
ejpam-2335	369	6	2007	2007	NUM
ejpam-2335	369	7	.	.	PUNCT
ejpam-2335	370	1	[	[	X
ejpam-2335	370	2	7	7	X
ejpam-2335	370	3	]	]	X
ejpam-2335	370	4	t	t	PROPN
ejpam-2335	370	5	m	m	PROPN
ejpam-2335	370	6	gelfand	gelfand	PROPN
ejpam-2335	370	7	.	.	PUNCT
ejpam-2335	371	1	some	some	DET
ejpam-2335	371	2	questions	question	NOUN
ejpam-2335	371	3	of	of	ADP
ejpam-2335	371	4	analysis	analysis	NOUN
ejpam-2335	371	5	and	and	CCONJ
ejpam-2335	371	6	differential	differential	ADJ
ejpam-2335	371	7	equations	equation	NOUN
ejpam-2335	371	8	.	.	PUNCT
ejpam-2335	372	1	uspekhi	uspekhi	PROPN
ejpam-2335	372	2	mat	mat	PROPN
ejpam-2335	372	3	.	.	PUNCT
ejpam-2335	372	4	nauk	nauk	PROPN
ejpam-2335	372	5	,	,	PUNCT
ejpam-2335	372	6	3(87):3–19	3(87):3–19	NOUN
ejpam-2335	372	7	,	,	PUNCT
ejpam-2335	372	8	1959	1959	NUM
ejpam-2335	372	9	.	.	PUNCT
ejpam-2335	373	1	[	[	X
ejpam-2335	373	2	8	8	NUM
ejpam-2335	373	3	]	]	X
ejpam-2335	373	4	m	m	VERB
ejpam-2335	373	5	a	a	DET
ejpam-2335	373	6	golberg	golberg	NOUN
ejpam-2335	373	7	.	.	PUNCT
ejpam-2335	374	1	some	some	DET
ejpam-2335	374	2	recent	recent	ADJ
ejpam-2335	374	3	results	result	NOUN
ejpam-2335	374	4	and	and	CCONJ
ejpam-2335	374	5	proposals	proposal	NOUN
ejpam-2335	374	6	for	for	ADP
ejpam-2335	374	7	the	the	DET
ejpam-2335	374	8	use	use	NOUN
ejpam-2335	374	9	of	of	ADP
ejpam-2335	374	10	radial	radial	ADJ
ejpam-2335	374	11	basis	basis	NOUN
ejpam-2335	374	12	functions	function	NOUN
ejpam-2335	374	13	in	in	ADP
ejpam-2335	374	14	the	the	DET
ejpam-2335	374	15	bem	bem	PROPN
ejpam-2335	374	16	.	.	PUNCT
ejpam-2335	375	1	engineering	engineer	VERB
ejpam-2335	375	2	analysis	analysis	NOUN
ejpam-2335	375	3	with	with	ADP
ejpam-2335	375	4	boundary	boundary	ADJ
ejpam-2335	375	5	elements	element	NOUN
ejpam-2335	375	6	,	,	PUNCT
ejpam-2335	375	7	23:285–296	23:285–296	NUM
ejpam-2335	375	8	,	,	PUNCT
ejpam-2335	375	9	1999	1999	NUM
ejpam-2335	375	10	.	.	PUNCT
ejpam-2335	376	1	[	[	X
ejpam-2335	376	2	9	9	NUM
ejpam-2335	376	3	]	]	X
ejpam-2335	376	4	y	y	PROPN
ejpam-2335	376	5	c	c	PROPN
ejpam-2335	376	6	hon	hon	PROPN
ejpam-2335	376	7	and	and	CCONJ
ejpam-2335	376	8	t	t	PROPN
ejpam-2335	376	9	wei	wei	PROPN
ejpam-2335	376	10	.	.	PUNCT
ejpam-2335	377	1	a	a	DET
ejpam-2335	377	2	meshless	meshless	ADJ
ejpam-2335	377	3	computational	computational	ADJ
ejpam-2335	377	4	method	method	NOUN
ejpam-2335	377	5	for	for	ADP
ejpam-2335	377	6	solving	solve	VERB
ejpam-2335	377	7	inverse	inverse	ADJ
ejpam-2335	377	8	heat	heat	NOUN
ejpam-2335	377	9	conduction	conduction	NOUN
ejpam-2335	377	10	problem	problem	NOUN
ejpam-2335	377	11	.	.	PUNCT
ejpam-2335	378	1	international	international	ADJ
ejpam-2335	378	2	series	series	NOUN
ejpam-2335	378	3	on	on	ADP
ejpam-2335	378	4	advances	advance	NOUN
ejpam-2335	378	5	in	in	ADP
ejpam-2335	378	6	boundary	boundary	ADJ
ejpam-2335	378	7	elements	element	NOUN
ejpam-2335	378	8	,	,	PUNCT
ejpam-2335	378	9	13:135–144	13:135–144	NUM
ejpam-2335	378	10	,	,	PUNCT
ejpam-2335	378	11	2002	2002	NUM
ejpam-2335	378	12	.	.	PUNCT
ejpam-2335	379	1	[	[	X
ejpam-2335	379	2	10	10	NUM
ejpam-2335	379	3	]	]	X
ejpam-2335	379	4	y	y	PROPN
ejpam-2335	379	5	c	c	PROPN
ejpam-2335	379	6	hon	hon	PROPN
ejpam-2335	379	7	and	and	CCONJ
ejpam-2335	379	8	t	t	PROPN
ejpam-2335	379	9	wei	wei	PROPN
ejpam-2335	379	10	.	.	PUNCT
ejpam-2335	380	1	a	a	DET
ejpam-2335	380	2	fundamental	fundamental	ADJ
ejpam-2335	380	3	solution	solution	NOUN
ejpam-2335	380	4	method	method	NOUN
ejpam-2335	380	5	for	for	ADP
ejpam-2335	380	6	inverse	inverse	ADJ
ejpam-2335	380	7	heat	heat	NOUN
ejpam-2335	380	8	conduction	conduction	NOUN
ejpam-2335	380	9	problem	problem	NOUN
ejpam-2335	380	10	.	.	PUNCT
ejpam-2335	381	1	engineering	engineer	VERB
ejpam-2335	381	2	analysis	analysis	NOUN
ejpam-2335	381	3	with	with	ADP
ejpam-2335	381	4	boundary	boundary	ADJ
ejpam-2335	381	5	elements	element	NOUN
ejpam-2335	381	6	.	.	PUNCT
ejpam-2335	382	1	journal	journal	NOUN
ejpam-2335	382	2	of	of	ADP
ejpam-2335	382	3	computational	computational	ADJ
ejpam-2335	382	4	and	and	CCONJ
ejpam-2335	382	5	applied	applied	ADJ
ejpam-2335	382	6	mathematics	mathematic	NOUN
ejpam-2335	382	7	,	,	PUNCT
ejpam-2335	382	8	28:489–495	28:489–495	NUM
ejpam-2335	382	9	,	,	PUNCT
ejpam-2335	382	10	2004	2004	NUM
ejpam-2335	382	11	.	.	PUNCT
ejpam-2335	383	1	[	[	X
ejpam-2335	383	2	11	11	NUM
ejpam-2335	383	3	]	]	X
ejpam-2335	383	4	s	s	X
ejpam-2335	383	5	u	u	PROPN
ejpam-2335	383	6	islam	islam	PROPN
ejpam-2335	383	7	,	,	PUNCT
ejpam-2335	383	8	s	s	NOUN
ejpam-2335	383	9	haqb	haqb	NOUN
ejpam-2335	383	10	,	,	PUNCT
ejpam-2335	383	11	and	and	CCONJ
ejpam-2335	383	12	a	a	DET
ejpam-2335	383	13	ali	ali	PROPN
ejpam-2335	383	14	.	.	PUNCT
ejpam-2335	384	1	a	a	DET
ejpam-2335	384	2	meshfree	meshfree	NOUN
ejpam-2335	384	3	method	method	NOUN
ejpam-2335	384	4	for	for	ADP
ejpam-2335	384	5	the	the	DET
ejpam-2335	384	6	numerical	numerical	ADJ
ejpam-2335	384	7	solution	solution	NOUN
ejpam-2335	384	8	of	of	ADP
ejpam-2335	384	9	the	the	DET
ejpam-2335	384	10	rlw	rlw	NOUN
ejpam-2335	384	11	equation	equation	NOUN
ejpam-2335	384	12	.	.	PUNCT
ejpam-2335	385	1	journal	journal	PROPN
ejpam-2335	385	2	of	of	ADP
ejpam-2335	385	3	computational	computational	ADJ
ejpam-2335	385	4	and	and	CCONJ
ejpam-2335	385	5	applied	applied	ADJ
ejpam-2335	385	6	mathematics	mathematic	NOUN
ejpam-2335	385	7	,	,	PUNCT
ejpam-2335	385	8	223:997–1012	223:997–1012	NUM
ejpam-2335	385	9	,	,	PUNCT
ejpam-2335	385	10	2009	2009	NUM
ejpam-2335	385	11	.	.	PUNCT
ejpam-2335	386	1	[	[	X
ejpam-2335	386	2	12	12	NUM
ejpam-2335	386	3	]	]	PUNCT
ejpam-2335	386	4	n	n	PROPN
ejpam-2335	386	5	yu	yu	PROPN
ejpam-2335	386	6	kapustin	kapustin	PROPN
ejpam-2335	386	7	.	.	PUNCT
ejpam-2335	387	1	tricomi	tricomi	NOUN
ejpam-2335	387	2	problem	problem	NOUN
ejpam-2335	387	3	for	for	ADP
ejpam-2335	387	4	a	a	DET
ejpam-2335	387	5	parabolic	parabolic	ADJ
ejpam-2335	387	6	-	-	PUNCT
ejpam-2335	387	7	hyperbolic	hyperbolic	ADJ
ejpam-2335	387	8	equation	equation	NOUN
ejpam-2335	387	9	with	with	ADP
ejpam-2335	387	10	degeneracy	degeneracy	NOUN
ejpam-2335	387	11	in	in	ADP
ejpam-2335	387	12	the	the	DET
ejpam-2335	387	13	hyperbolic	hyperbolic	ADJ
ejpam-2335	387	14	part	part	NOUN
ejpam-2335	387	15	.	.	PUNCT
ejpam-2335	388	1	differentsial’nye	differentsial’nye	NOUN
ejpam-2335	388	2	uravneniya	uravneniya	NOUN
ejpam-2335	388	3	,	,	PUNCT
ejpam-2335	388	4	23(1):72–78	23(1):72–78	NUM
ejpam-2335	388	5	,	,	PUNCT
ejpam-2335	388	6	1987	1987	NUM
ejpam-2335	388	7	.	.	PUNCT
ejpam-2335	389	1	references	reference	NOUN
ejpam-2335	389	2	253	253	NUM
ejpam-2335	390	1	[	[	X
ejpam-2335	390	2	13	13	NUM
ejpam-2335	390	3	]	]	SYM
ejpam-2335	390	4	s	s	PART
ejpam-2335	390	5	kazem	kazem	PROPN
ejpam-2335	390	6	,	,	PUNCT
ejpam-2335	390	7	j	j	PROPN
ejpam-2335	390	8	a	a	DET
ejpam-2335	390	9	rad	rad	NOUN
ejpam-2335	390	10	,	,	PUNCT
ejpam-2335	390	11	and	and	CCONJ
ejpam-2335	390	12	k	k	PROPN
ejpam-2335	390	13	parand	parand	PROPN
ejpam-2335	390	14	.	.	PUNCT
ejpam-2335	391	1	radial	radial	ADJ
ejpam-2335	391	2	basis	basis	NOUN
ejpam-2335	391	3	functions	function	NOUN
ejpam-2335	391	4	methods	method	NOUN
ejpam-2335	391	5	for	for	ADP
ejpam-2335	391	6	solving	solve	VERB
ejpam-2335	391	7	fokker	fokker	NOUN
ejpam-2335	391	8	planck	planck	NOUN
ejpam-2335	391	9	equation	equation	NOUN
ejpam-2335	391	10	.	.	PUNCT
ejpam-2335	392	1	engineering	engineer	VERB
ejpam-2335	392	2	analysis	analysis	NOUN
ejpam-2335	392	3	with	with	ADP
ejpam-2335	392	4	boundary	boundary	ADJ
ejpam-2335	392	5	elements	element	NOUN
ejpam-2335	392	6	,	,	PUNCT
ejpam-2335	392	7	36:181–189	36:181–189	NUM
ejpam-2335	392	8	,	,	PUNCT
ejpam-2335	392	9	2012	2012	NUM
ejpam-2335	392	10	.	.	PUNCT
ejpam-2335	393	1	[	[	X
ejpam-2335	393	2	14	14	NUM
ejpam-2335	393	3	]	]	PUNCT
ejpam-2335	393	4	a	a	DET
ejpam-2335	393	5	j	j	PROPN
ejpam-2335	393	6	khattak	khattak	PROPN
ejpam-2335	393	7	,	,	PUNCT
ejpam-2335	393	8	s	s	VERB
ejpam-2335	393	9	i	i	PRON
ejpam-2335	393	10	a	a	DET
ejpam-2335	393	11	tirmizi	tirmizi	NOUN
ejpam-2335	393	12	,	,	PUNCT
ejpam-2335	393	13	and	and	CCONJ
ejpam-2335	393	14	s	s	VERB
ejpam-2335	393	15	u	u	PROPN
ejpam-2335	393	16	islam	islam	PROPN
ejpam-2335	393	17	.	.	PUNCT
ejpam-2335	393	18	application	application	NOUN
ejpam-2335	393	19	of	of	ADP
ejpam-2335	393	20	meshfree	meshfree	ADJ
ejpam-2335	393	21	collocation	collocation	NOUN
ejpam-2335	393	22	method	method	NOUN
ejpam-2335	393	23	to	to	ADP
ejpam-2335	393	24	a	a	DET
ejpam-2335	393	25	class	class	NOUN
ejpam-2335	393	26	of	of	ADP
ejpam-2335	393	27	nonlinear	nonlinear	ADJ
ejpam-2335	393	28	partial	partial	ADJ
ejpam-2335	393	29	differential	differential	NOUN
ejpam-2335	393	30	equations	equation	NOUN
ejpam-2335	393	31	.	.	PUNCT
ejpam-2335	394	1	engineering	engineer	VERB
ejpam-2335	394	2	analysis	analysis	NOUN
ejpam-2335	394	3	with	with	ADP
ejpam-2335	394	4	boundary	boundary	ADJ
ejpam-2335	394	5	elements	element	NOUN
ejpam-2335	394	6	,	,	PUNCT
ejpam-2335	394	7	33:661–667	33:661–667	NUM
ejpam-2335	394	8	,	,	PUNCT
ejpam-2335	394	9	2009	2009	NUM
ejpam-2335	394	10	.	.	PUNCT
ejpam-2335	395	1	[	[	X
ejpam-2335	395	2	15	15	NUM
ejpam-2335	395	3	]	]	X
ejpam-2335	395	4	e	e	X
ejpam-2335	395	5	kreyszig	kreyszig	PROPN
ejpam-2335	395	6	.	.	PUNCT
ejpam-2335	396	1	introductory	introductory	ADJ
ejpam-2335	396	2	functional	functional	ADJ
ejpam-2335	396	3	analysis	analysis	NOUN
ejpam-2335	396	4	with	with	ADP
ejpam-2335	396	5	applications	application	NOUN
ejpam-2335	396	6	.	.	PUNCT
ejpam-2335	397	1	john	john	PROPN
ejpam-2335	397	2	wiley	wiley	PROPN
ejpam-2335	397	3	and	and	CCONJ
ejpam-2335	397	4	sons	son	NOUN
ejpam-2335	397	5	press	press	NOUN
ejpam-2335	397	6	,	,	PUNCT
ejpam-2335	397	7	new	new	PROPN
ejpam-2335	397	8	york	york	PROPN
ejpam-2335	397	9	,	,	PUNCT
ejpam-2335	397	10	1978	1978	NUM
ejpam-2335	397	11	.	.	PUNCT
ejpam-2335	398	1	[	[	X
ejpam-2335	398	2	16	16	NUM
ejpam-2335	398	3	]	]	X
ejpam-2335	398	4	m	m	VERB
ejpam-2335	398	5	lakestani	lakestani	NOUN
ejpam-2335	398	6	and	and	CCONJ
ejpam-2335	398	7	m	m	NOUN
ejpam-2335	398	8	dehghan	dehghan	ADJ
ejpam-2335	398	9	.	.	PUNCT
ejpam-2335	399	1	the	the	DET
ejpam-2335	399	2	use	use	NOUN
ejpam-2335	399	3	of	of	ADP
ejpam-2335	399	4	chebyshev	chebyshev	PROPN
ejpam-2335	399	5	cardinal	cardinal	ADJ
ejpam-2335	399	6	functions	function	NOUN
ejpam-2335	399	7	for	for	ADP
ejpam-2335	399	8	the	the	DET
ejpam-2335	399	9	solution	solution	NOUN
ejpam-2335	399	10	of	of	ADP
ejpam-2335	399	11	a	a	DET
ejpam-2335	399	12	partial	partial	ADJ
ejpam-2335	399	13	differential	differential	NOUN
ejpam-2335	399	14	equation	equation	NOUN
ejpam-2335	399	15	with	with	ADP
ejpam-2335	399	16	an	an	DET
ejpam-2335	399	17	unknown	unknown	ADJ
ejpam-2335	399	18	time	time	NOUN
ejpam-2335	399	19	-	-	PUNCT
ejpam-2335	399	20	dependent	dependent	ADJ
ejpam-2335	399	21	coefficient	coefficient	NOUN
ejpam-2335	399	22	subject	subject	ADJ
ejpam-2335	399	23	to	to	ADP
ejpam-2335	399	24	an	an	DET
ejpam-2335	399	25	extra	extra	ADJ
ejpam-2335	399	26	measurement	measurement	NOUN
ejpam-2335	399	27	.	.	PUNCT
ejpam-2335	400	1	journal	journal	PROPN
ejpam-2335	400	2	of	of	ADP
ejpam-2335	400	3	computational	computational	ADJ
ejpam-2335	400	4	and	and	CCONJ
ejpam-2335	400	5	applied	applied	ADJ
ejpam-2335	400	6	mathematics	mathematic	NOUN
ejpam-2335	400	7	,	,	PUNCT
ejpam-2335	400	8	235(3):669	235(3):669	NUM
ejpam-2335	400	9	–	–	PUNCT
ejpam-2335	400	10	678	678	NUM
ejpam-2335	400	11	,	,	PUNCT
ejpam-2335	400	12	2010	2010	NUM
ejpam-2335	400	13	.	.	PUNCT
ejpam-2335	401	1	[	[	X
ejpam-2335	401	2	17	17	NUM
ejpam-2335	401	3	]	]	X
ejpam-2335	401	4	j	j	PROPN
ejpam-2335	401	5	li	li	PROPN
ejpam-2335	401	6	.	.	PUNCT
ejpam-2335	402	1	a	a	DET
ejpam-2335	402	2	radial	radial	ADJ
ejpam-2335	402	3	basis	basis	NOUN
ejpam-2335	402	4	meshless	meshless	ADJ
ejpam-2335	402	5	method	method	NOUN
ejpam-2335	402	6	for	for	ADP
ejpam-2335	402	7	solving	solve	VERB
ejpam-2335	402	8	inverse	inverse	NOUN
ejpam-2335	402	9	boundary	boundary	ADJ
ejpam-2335	402	10	value	value	NOUN
ejpam-2335	402	11	problem	problem	NOUN
ejpam-2335	402	12	.	.	PUNCT
ejpam-2335	403	1	communications	communication	NOUN
ejpam-2335	403	2	in	in	ADP
ejpam-2335	403	3	numerical	numerical	ADJ
ejpam-2335	403	4	methods	method	NOUN
ejpam-2335	403	5	in	in	ADP
ejpam-2335	403	6	engineering	engineering	NOUN
ejpam-2335	403	7	,	,	PUNCT
ejpam-2335	403	8	20:51–61	20:51–61	NUM
ejpam-2335	403	9	,	,	PUNCT
ejpam-2335	403	10	2004	2004	NUM
ejpam-2335	403	11	.	.	PUNCT
ejpam-2335	404	1	[	[	X
ejpam-2335	404	2	18	18	NUM
ejpam-2335	404	3	]	]	X
ejpam-2335	404	4	j	j	PROPN
ejpam-2335	404	5	li	li	PROPN
ejpam-2335	404	6	.	.	PROPN
ejpam-2335	404	7	application	application	NOUN
ejpam-2335	404	8	of	of	ADP
ejpam-2335	404	9	radial	radial	ADJ
ejpam-2335	404	10	basis	basis	NOUN
ejpam-2335	404	11	meshless	meshless	ADJ
ejpam-2335	404	12	methods	method	NOUN
ejpam-2335	404	13	to	to	PART
ejpam-2335	404	14	direct	direct	VERB
ejpam-2335	404	15	and	and	CCONJ
ejpam-2335	404	16	inverse	inverse	ADJ
ejpam-2335	404	17	biharmonic	biharmonic	NOUN
ejpam-2335	404	18	boundary	boundary	ADJ
ejpam-2335	404	19	value	value	NOUN
ejpam-2335	404	20	problems	problem	NOUN
ejpam-2335	404	21	.	.	PUNCT
ejpam-2335	405	1	communications	communication	NOUN
ejpam-2335	405	2	in	in	ADP
ejpam-2335	405	3	numerical	numerical	ADJ
ejpam-2335	405	4	methods	method	NOUN
ejpam-2335	405	5	in	in	ADP
ejpam-2335	405	6	engineering	engineering	NOUN
ejpam-2335	405	7	,	,	PUNCT
ejpam-2335	405	8	21	21	NUM
ejpam-2335	405	9	,	,	PUNCT
ejpam-2335	405	10	2005	2005	NUM
ejpam-2335	405	11	.	.	PUNCT
ejpam-2335	406	1	[	[	X
ejpam-2335	406	2	19	19	NUM
ejpam-2335	406	3	]	]	SYM
ejpam-2335	406	4	n	n	PRON
ejpam-2335	406	5	mai	mai	PROPN
ejpam-2335	406	6	-	-	PUNCT
ejpam-2335	406	7	duy	duy	PROPN
ejpam-2335	406	8	.	.	PUNCT
ejpam-2335	407	1	solving	solve	VERB
ejpam-2335	407	2	high	high	ADJ
ejpam-2335	407	3	order	order	NOUN
ejpam-2335	407	4	ordinary	ordinary	ADJ
ejpam-2335	407	5	differential	differential	ADJ
ejpam-2335	407	6	equations	equation	NOUN
ejpam-2335	407	7	with	with	ADP
ejpam-2335	407	8	radial	radial	ADJ
ejpam-2335	407	9	basis	basis	NOUN
ejpam-2335	407	10	function	function	NOUN
ejpam-2335	407	11	networks	network	NOUN
ejpam-2335	407	12	.	.	PUNCT
ejpam-2335	408	1	international	international	ADJ
ejpam-2335	408	2	journal	journal	PROPN
ejpam-2335	408	3	for	for	ADP
ejpam-2335	408	4	numerical	numerical	ADJ
ejpam-2335	408	5	methods	method	NOUN
ejpam-2335	408	6	in	in	ADP
ejpam-2335	408	7	engineering	engineering	NOUN
ejpam-2335	408	8	,	,	PUNCT
ejpam-2335	408	9	62:824–852	62:824–852	PROPN
ejpam-2335	408	10	,	,	PUNCT
ejpam-2335	408	11	2005	2005	NUM
ejpam-2335	408	12	.	.	PUNCT
ejpam-2335	409	1	[	[	X
ejpam-2335	409	2	20	20	NUM
ejpam-2335	409	3	]	]	PUNCT
ejpam-2335	409	4	a	a	DET
ejpam-2335	409	5	m	m	NOUN
ejpam-2335	409	6	nakhushev	nakhushev	NOUN
ejpam-2335	409	7	and	and	CCONJ
ejpam-2335	409	8	kh	kh	PROPN
ejpam-2335	409	9	g	g	PROPN
ejpam-2335	409	10	bzhikhatlov	bzhikhatlov	PROPN
ejpam-2335	409	11	.	.	PUNCT
ejpam-2335	410	1	one	one	NUM
ejpam-2335	410	2	boundary	boundary	ADJ
ejpam-2335	410	3	-	-	PUNCT
ejpam-2335	410	4	value	value	NOUN
ejpam-2335	410	5	problem	problem	NOUN
ejpam-2335	410	6	for	for	ADP
ejpam-2335	410	7	a	a	DET
ejpam-2335	410	8	mixed	mixed	ADJ
ejpam-2335	410	9	-	-	PUNCT
ejpam-2335	410	10	type	type	NOUN
ejpam-2335	410	11	equation	equation	NOUN
ejpam-2335	410	12	.	.	PUNCT
ejpam-2335	411	1	soviet	soviet	PROPN
ejpam-2335	411	2	physics	physics	PROPN
ejpam-2335	411	3	doklady	doklady	PROPN
ejpam-2335	411	4	,	,	PUNCT
ejpam-2335	411	5	183(2):261–264	183(2):261–264	NUM
ejpam-2335	411	6	,	,	PUNCT
ejpam-2335	411	7	1968	1968	NUM
ejpam-2335	411	8	.	.	PUNCT
ejpam-2335	412	1	[	[	X
ejpam-2335	412	2	21	21	NUM
ejpam-2335	412	3	]	]	X
ejpam-2335	412	4	k	k	PROPN
ejpam-2335	412	5	parand	parand	NOUN
ejpam-2335	412	6	,	,	PUNCT
ejpam-2335	412	7	s	s	PART
ejpam-2335	412	8	abbasbandy	abbasbandy	NOUN
ejpam-2335	412	9	,	,	PUNCT
ejpam-2335	412	10	s	s	PART
ejpam-2335	412	11	kazem	kazem	PROPN
ejpam-2335	412	12	,	,	PUNCT
ejpam-2335	412	13	and	and	CCONJ
ejpam-2335	412	14	j	j	PROPN
ejpam-2335	412	15	a	a	DET
ejpam-2335	412	16	rad	rad	PROPN
ejpam-2335	412	17	.	.	PUNCT
ejpam-2335	413	1	a	a	DET
ejpam-2335	413	2	novel	novel	ADJ
ejpam-2335	413	3	application	application	NOUN
ejpam-2335	413	4	of	of	ADP
ejpam-2335	413	5	radial	radial	ADJ
ejpam-2335	413	6	basis	basis	NOUN
ejpam-2335	413	7	functions	function	NOUN
ejpam-2335	413	8	for	for	ADP
ejpam-2335	413	9	solving	solve	VERB
ejpam-2335	413	10	a	a	DET
ejpam-2335	413	11	model	model	NOUN
ejpam-2335	413	12	of	of	ADP
ejpam-2335	413	13	first	first	ADJ
ejpam-2335	413	14	-	-	PUNCT
ejpam-2335	413	15	order	order	NOUN
ejpam-2335	413	16	integro	integro	ADJ
ejpam-2335	413	17	-	-	PUNCT
ejpam-2335	413	18	ordinary	ordinary	ADJ
ejpam-2335	413	19	differential	differential	ADJ
ejpam-2335	413	20	equation	equation	NOUN
ejpam-2335	413	21	.	.	PUNCT
ejpam-2335	414	1	communications	communication	NOUN
ejpam-2335	414	2	in	in	ADP
ejpam-2335	414	3	nonlinear	nonlinear	ADJ
ejpam-2335	414	4	science	science	NOUN
ejpam-2335	414	5	and	and	CCONJ
ejpam-2335	414	6	numerical	numerical	PROPN
ejpam-2335	414	7	simulation	simulation	PROPN
ejpam-2335	414	8	,	,	PUNCT
ejpam-2335	414	9	16:4250–4258	16:4250–4258	NUM
ejpam-2335	414	10	,	,	PUNCT
ejpam-2335	414	11	2011	2011	NUM
ejpam-2335	414	12	.	.	PUNCT
ejpam-2335	415	1	[	[	X
ejpam-2335	415	2	22	22	NUM
ejpam-2335	415	3	]	]	X
ejpam-2335	415	4	k	k	PROPN
ejpam-2335	415	5	parand	parand	NOUN
ejpam-2335	415	6	,	,	PUNCT
ejpam-2335	415	7	s	s	PART
ejpam-2335	415	8	abbasbandy	abbasbandy	NOUN
ejpam-2335	415	9	,	,	PUNCT
ejpam-2335	415	10	s	s	PART
ejpam-2335	415	11	kazem	kazem	PROPN
ejpam-2335	415	12	,	,	PUNCT
ejpam-2335	415	13	and	and	CCONJ
ejpam-2335	415	14	a	a	DET
ejpam-2335	415	15	r	r	NOUN
ejpam-2335	415	16	rezaei	rezaei	NOUN
ejpam-2335	415	17	.	.	PUNCT
ejpam-2335	416	1	comparison	comparison	NOUN
ejpam-2335	416	2	between	between	ADP
ejpam-2335	416	3	two	two	NUM
ejpam-2335	416	4	common	common	ADJ
ejpam-2335	416	5	collocation	collocation	NOUN
ejpam-2335	416	6	approaches	approach	NOUN
ejpam-2335	416	7	based	base	VERB
ejpam-2335	416	8	on	on	ADP
ejpam-2335	416	9	radial	radial	ADJ
ejpam-2335	416	10	basis	basis	NOUN
ejpam-2335	416	11	functions	function	NOUN
ejpam-2335	416	12	for	for	ADP
ejpam-2335	416	13	the	the	DET
ejpam-2335	416	14	case	case	NOUN
ejpam-2335	416	15	of	of	ADP
ejpam-2335	416	16	heat	heat	NOUN
ejpam-2335	416	17	transfer	transfer	NOUN
ejpam-2335	416	18	equations	equation	NOUN
ejpam-2335	416	19	arising	arise	VERB
ejpam-2335	416	20	in	in	ADP
ejpam-2335	416	21	porous	porous	ADJ
ejpam-2335	416	22	medium	medium	NOUN
ejpam-2335	416	23	.	.	PUNCT
ejpam-2335	417	1	communications	communication	NOUN
ejpam-2335	417	2	in	in	ADP
ejpam-2335	417	3	nonlinear	nonlinear	ADJ
ejpam-2335	417	4	science	science	NOUN
ejpam-2335	417	5	and	and	CCONJ
ejpam-2335	417	6	numerical	numerical	PROPN
ejpam-2335	417	7	simulation	simulation	PROPN
ejpam-2335	417	8	,	,	PUNCT
ejpam-2335	417	9	16:1396–1407	16:1396–1407	NUM
ejpam-2335	417	10	,	,	PUNCT
ejpam-2335	417	11	2011	2011	NUM
ejpam-2335	417	12	.	.	PUNCT
ejpam-2335	418	1	[	[	X
ejpam-2335	418	2	23	23	NUM
ejpam-2335	418	3	]	]	X
ejpam-2335	418	4	f	f	PROPN
ejpam-2335	418	5	parzlivand	parzlivand	NOUN
ejpam-2335	418	6	and	and	CCONJ
ejpam-2335	418	7	a	a	DET
ejpam-2335	418	8	m	m	ADV
ejpam-2335	418	9	shahrezaee	shahrezaee	ADJ
ejpam-2335	418	10	.	.	PUNCT
ejpam-2335	419	1	the	the	DET
ejpam-2335	419	2	use	use	NOUN
ejpam-2335	419	3	of	of	ADP
ejpam-2335	419	4	radial	radial	ADJ
ejpam-2335	419	5	basis	basis	NOUN
ejpam-2335	419	6	functions	function	NOUN
ejpam-2335	419	7	for	for	ADP
ejpam-2335	419	8	the	the	DET
ejpam-2335	419	9	solution	solution	NOUN
ejpam-2335	419	10	of	of	ADP
ejpam-2335	419	11	a	a	DET
ejpam-2335	419	12	partial	partial	ADJ
ejpam-2335	419	13	differential	differential	NOUN
ejpam-2335	419	14	equation	equation	NOUN
ejpam-2335	419	15	with	with	ADP
ejpam-2335	419	16	an	an	DET
ejpam-2335	419	17	unknown	unknown	ADJ
ejpam-2335	419	18	time	time	NOUN
ejpam-2335	419	19	-	-	PUNCT
ejpam-2335	419	20	dependent	dependent	ADJ
ejpam-2335	419	21	coefficient	coefficient	NOUN
ejpam-2335	419	22	.	.	PUNCT
ejpam-2335	420	1	journal	journal	PROPN
ejpam-2335	420	2	of	of	ADP
ejpam-2335	420	3	information	information	NOUN
ejpam-2335	420	4	and	and	CCONJ
ejpam-2335	420	5	computing	computing	NOUN
ejpam-2335	420	6	science	science	NOUN
ejpam-2335	420	7	.	.	PUNCT
ejpam-2335	420	8	,	,	PUNCT
ejpam-2335	420	9	9(4):298–309	9(4):298–309	NOUN
ejpam-2335	420	10	,	,	PUNCT
ejpam-2335	420	11	2014	2014	NUM
ejpam-2335	420	12	.	.	PUNCT
ejpam-2335	421	1	[	[	X
ejpam-2335	421	2	24	24	NUM
ejpam-2335	421	3	]	]	X
ejpam-2335	421	4	s	s	VERB
ejpam-2335	421	5	rippa	rippa	NOUN
ejpam-2335	421	6	.	.	PUNCT
ejpam-2335	422	1	an	an	DET
ejpam-2335	422	2	algorithm	algorithm	NOUN
ejpam-2335	422	3	for	for	ADP
ejpam-2335	422	4	selecting	select	VERB
ejpam-2335	422	5	a	a	DET
ejpam-2335	422	6	good	good	ADJ
ejpam-2335	422	7	parameter	parameter	NOUN
ejpam-2335	422	8	c	c	PROPN
ejpam-2335	422	9	in	in	ADP
ejpam-2335	422	10	radial	radial	ADJ
ejpam-2335	422	11	basis	basis	NOUN
ejpam-2335	422	12	function	function	NOUN
ejpam-2335	422	13	interpolation	interpolation	NOUN
ejpam-2335	422	14	.	.	PUNCT
ejpam-2335	423	1	advances	advance	NOUN
ejpam-2335	423	2	in	in	ADP
ejpam-2335	423	3	computational	computational	ADJ
ejpam-2335	423	4	mathematics	mathematic	NOUN
ejpam-2335	423	5	,	,	PUNCT
ejpam-2335	423	6	11:193–210	11:193–210	PROPN
ejpam-2335	423	7	,	,	PUNCT
ejpam-2335	423	8	1999	1999	NUM
ejpam-2335	423	9	.	.	PUNCT
ejpam-2335	424	1	[	[	X
ejpam-2335	424	2	25	25	NUM
ejpam-2335	424	3	]	]	X
ejpam-2335	424	4	k	k	PROPN
ejpam-2335	424	5	b	b	PROPN
ejpam-2335	424	6	sabitov	sabitov	NOUN
ejpam-2335	424	7	.	.	PUNCT
ejpam-2335	425	1	contribution	contribution	NOUN
ejpam-2335	425	2	to	to	ADP
ejpam-2335	425	3	the	the	DET
ejpam-2335	425	4	theory	theory	NOUN
ejpam-2335	425	5	of	of	ADP
ejpam-2335	425	6	equations	equation	NOUN
ejpam-2335	425	7	of	of	ADP
ejpam-2335	425	8	mixed	mixed	ADJ
ejpam-2335	425	9	parabolic	parabolic	ADJ
ejpam-2335	425	10	-	-	PUNCT
ejpam-2335	425	11	hyperbolic	hyperbolic	ADJ
ejpam-2335	425	12	type	type	NOUN
ejpam-2335	425	13	with	with	ADP
ejpam-2335	425	14	spectral	spectral	ADJ
ejpam-2335	425	15	parameters	parameter	NOUN
ejpam-2335	425	16	.	.	PUNCT
ejpam-2335	426	1	differentsial’nye	differentsial’nye	NOUN
ejpam-2335	426	2	uravneniya	uravneniya	NOUN
ejpam-2335	426	3	,	,	PUNCT
ejpam-2335	426	4	25(1):117–126	25(1):117–126	PROPN
ejpam-2335	426	5	,	,	PUNCT
ejpam-2335	426	6	1989	1989	NUM
ejpam-2335	426	7	.	.	PUNCT
ejpam-2335	427	1	references	reference	NOUN
ejpam-2335	427	2	254	254	NUM
ejpam-2335	427	3	[	[	X
ejpam-2335	427	4	26	26	NUM
ejpam-2335	427	5	]	]	X
ejpam-2335	427	6	k	k	PROPN
ejpam-2335	427	7	b	b	PROPN
ejpam-2335	427	8	sabitov	sabitov	NOUN
ejpam-2335	427	9	.	.	PUNCT
ejpam-2335	428	1	on	on	ADP
ejpam-2335	428	2	the	the	DET
ejpam-2335	428	3	theory	theory	NOUN
ejpam-2335	428	4	of	of	ADP
ejpam-2335	428	5	equations	equation	NOUN
ejpam-2335	428	6	of	of	ADP
ejpam-2335	428	7	mixed	mixed	ADJ
ejpam-2335	428	8	parabolic	parabolic	ADJ
ejpam-2335	428	9	-	-	PUNCT
ejpam-2335	428	10	hyperbolic	hyperbolic	ADJ
ejpam-2335	428	11	type	type	NOUN
ejpam-2335	428	12	with	with	ADP
ejpam-2335	428	13	a	a	DET
ejpam-2335	428	14	spectral	spectral	ADJ
ejpam-2335	428	15	parameter	parameter	NOUN
ejpam-2335	428	16	.	.	PUNCT
ejpam-2335	429	1	differentsial’nye	differentsial’nye	NOUN
ejpam-2335	429	2	uravneniya	uravneniya	NOUN
ejpam-2335	429	3	,	,	PUNCT
ejpam-2335	429	4	25(1):117–126	25(1):117–126	PROPN
ejpam-2335	429	5	,	,	PUNCT
ejpam-2335	429	6	1989	1989	NUM
ejpam-2335	429	7	.	.	PUNCT
ejpam-2335	430	1	[	[	X
ejpam-2335	430	2	27	27	NUM
ejpam-2335	430	3	]	]	X
ejpam-2335	430	4	k	k	PROPN
ejpam-2335	430	5	b	b	PROPN
ejpam-2335	430	6	sabitov	sabitov	NOUN
ejpam-2335	430	7	.	.	PUNCT
ejpam-2335	431	1	dirichlet	dirichlet	PROPN
ejpam-2335	431	2	problem	problem	NOUN
ejpam-2335	431	3	for	for	ADP
ejpam-2335	431	4	mixed	mixed	ADJ
ejpam-2335	431	5	-	-	PUNCT
ejpam-2335	431	6	type	type	NOUN
ejpam-2335	431	7	equations	equation	NOUN
ejpam-2335	431	8	in	in	ADP
ejpam-2335	431	9	a	a	DET
ejpam-2335	431	10	rectangular	rectangular	ADJ
ejpam-2335	431	11	domain	domain	NOUN
ejpam-2335	431	12	.	.	PUNCT
ejpam-2335	432	1	doklady	doklady	PROPN
ejpam-2335	432	2	russian	russian	PROPN
ejpam-2335	432	3	akademii	akademii	PROPN
ejpam-2335	432	4	nauk	nauk	PROPN
ejpam-2335	432	5	,	,	PUNCT
ejpam-2335	432	6	413(1):23–26	413(1):23–26	NOUN
ejpam-2335	432	7	,	,	PUNCT
ejpam-2335	432	8	2007	2007	NUM
ejpam-2335	432	9	.	.	PUNCT
ejpam-2335	433	1	[	[	X
ejpam-2335	433	2	28	28	NUM
ejpam-2335	433	3	]	]	X
ejpam-2335	433	4	k	k	PROPN
ejpam-2335	433	5	b	b	PROPN
ejpam-2335	433	6	sabitov	sabitov	NOUN
ejpam-2335	433	7	.	.	PUNCT
ejpam-2335	434	1	on	on	ADP
ejpam-2335	434	2	a	a	DET
ejpam-2335	434	3	certain	certain	ADJ
ejpam-2335	434	4	boundary	boundary	ADJ
ejpam-2335	434	5	-	-	PUNCT
ejpam-2335	434	6	value	value	NOUN
ejpam-2335	434	7	problem	problem	NOUN
ejpam-2335	434	8	for	for	ADP
ejpam-2335	434	9	a	a	DET
ejpam-2335	434	10	third	third	ADJ
ejpam-2335	434	11	-	-	PUNCT
ejpam-2335	434	12	order	order	NOUN
ejpam-2335	434	13	mixed	mix	VERB
ejpam-2335	434	14	-	-	PUNCT
ejpam-2335	434	15	type	type	NOUN
ejpam-2335	434	16	equation	equation	NOUN
ejpam-2335	434	17	.	.	PUNCT
ejpam-2335	435	1	doklady	doklady	PROPN
ejpam-2335	435	2	russian	russian	PROPN
ejpam-2335	435	3	akademii	akademii	PROPN
ejpam-2335	435	4	nauk	nauk	PROPN
ejpam-2335	435	5	,	,	PUNCT
ejpam-2335	435	6	427(5):593–596	427(5):593–596	NUM
ejpam-2335	435	7	,	,	PUNCT
ejpam-2335	435	8	2009	2009	NUM
ejpam-2335	435	9	.	.	PUNCT
ejpam-2335	436	1	[	[	X
ejpam-2335	436	2	29	29	NUM
ejpam-2335	436	3	]	]	X
ejpam-2335	436	4	k	k	PROPN
ejpam-2335	436	5	b	b	PROPN
ejpam-2335	436	6	sabitov	sabitov	PROPN
ejpam-2335	436	7	and	and	CCONJ
ejpam-2335	436	8	e	e	NOUN
ejpam-2335	436	9	m	m	PROPN
ejpam-2335	436	10	safin	safin	PROPN
ejpam-2335	436	11	.	.	PUNCT
ejpam-2335	437	1	inverse	inverse	ADJ
ejpam-2335	437	2	problem	problem	NOUN
ejpam-2335	437	3	for	for	ADP
ejpam-2335	437	4	a	a	DET
ejpam-2335	437	5	parabolic	parabolic	ADJ
ejpam-2335	437	6	-	-	PUNCT
ejpam-2335	437	7	hyperbolic	hyperbolic	ADJ
ejpam-2335	437	8	-	-	PUNCT
ejpam-2335	437	9	type	type	NOUN
ejpam-2335	437	10	equation	equation	NOUN
ejpam-2335	437	11	in	in	ADP
ejpam-2335	437	12	a	a	DET
ejpam-2335	437	13	rectangular	rectangular	ADJ
ejpam-2335	437	14	domain	domain	NOUN
ejpam-2335	437	15	.	.	PUNCT
ejpam-2335	438	1	doklady	doklady	PROPN
ejpam-2335	438	2	russian	russian	PROPN
ejpam-2335	438	3	akademii	akademii	PROPN
ejpam-2335	438	4	nauk	nauk	PROPN
ejpam-2335	438	5	,	,	PUNCT
ejpam-2335	438	6	429(4):451–454	429(4):451–454	PROPN
ejpam-2335	438	7	,	,	PUNCT
ejpam-2335	438	8	2009	2009	NUM
ejpam-2335	438	9	.	.	PUNCT
ejpam-2335	439	1	[	[	X
ejpam-2335	439	2	30	30	NUM
ejpam-2335	439	3	]	]	X
ejpam-2335	439	4	k	k	PROPN
ejpam-2335	439	5	b	b	PROPN
ejpam-2335	439	6	sabitov	sabitov	PROPN
ejpam-2335	439	7	and	and	CCONJ
ejpam-2335	439	8	e	e	NOUN
ejpam-2335	439	9	m	m	PROPN
ejpam-2335	439	10	safin	safin	PROPN
ejpam-2335	439	11	.	.	PUNCT
ejpam-2335	440	1	the	the	DET
ejpam-2335	440	2	inverse	inverse	ADJ
ejpam-2335	440	3	problem	problem	NOUN
ejpam-2335	440	4	for	for	ADP
ejpam-2335	440	5	an	an	DET
ejpam-2335	440	6	equation	equation	NOUN
ejpam-2335	440	7	of	of	ADP
ejpam-2335	440	8	mixed	mixed	ADJ
ejpam-2335	440	9	parabolichyperbolic	parabolichyperbolic	ADJ
ejpam-2335	440	10	type	type	NOUN
ejpam-2335	440	11	.	.	PUNCT
ejpam-2335	441	1	matematicheskie	matematicheskie	NOUN
ejpam-2335	441	2	zametki	zametki	NOUN
ejpam-2335	441	3	,	,	PUNCT
ejpam-2335	441	4	87(6):908–919	87(6):908–919	PROPN
ejpam-2335	441	5	,	,	PUNCT
ejpam-2335	441	6	2010	2010	NUM
ejpam-2335	441	7	.	.	PUNCT
ejpam-2335	442	1	[	[	X
ejpam-2335	442	2	31	31	NUM
ejpam-2335	442	3	]	]	X
ejpam-2335	442	4	k	k	PROPN
ejpam-2335	442	5	b	b	PROPN
ejpam-2335	442	6	sabitov	sabitov	PROPN
ejpam-2335	442	7	and	and	CCONJ
ejpam-2335	442	8	e	e	NOUN
ejpam-2335	442	9	m	m	PROPN
ejpam-2335	442	10	safin	safin	ADJ
ejpam-2335	442	11	.	.	PUNCT
ejpam-2335	443	1	some	some	DET
ejpam-2335	443	2	questions	question	NOUN
ejpam-2335	443	3	of	of	ADP
ejpam-2335	443	4	analysis	analysis	NOUN
ejpam-2335	443	5	and	and	CCONJ
ejpam-2335	443	6	differential	differential	ADJ
ejpam-2335	443	7	equations	equation	NOUN
ejpam-2335	443	8	.	.	PUNCT
ejpam-2335	444	1	uspekhi	uspekhi	PROPN
ejpam-2335	444	2	matematicheskikh	matematicheskikh	PROPN
ejpam-2335	444	3	nauk	nauk	PROPN
ejpam-2335	444	4	,	,	PUNCT
ejpam-2335	444	5	4:55–62	4:55–62	NUM
ejpam-2335	444	6	,	,	PUNCT
ejpam-2335	444	7	2010	2010	NUM
ejpam-2335	444	8	.	.	PUNCT