id	sid	tid	token	lemma	pos
ejpam-2769	1	1	european	european	PROPN
ejpam-2769	1	2	journal	journal	PROPN
ejpam-2769	1	3	of	of	ADP
ejpam-2769	1	4	pure	pure	ADJ
ejpam-2769	1	5	and	and	CCONJ
ejpam-2769	1	6	applied	apply	VERB
ejpam-2769	1	7	mathematics	mathematic	NOUN
ejpam-2769	1	8	vol	vol	NOUN
ejpam-2769	1	9	.	.	PROPN
ejpam-2769	2	1	10	10	NUM
ejpam-2769	2	2	,	,	PUNCT
ejpam-2769	2	3	no	no	INTJ
ejpam-2769	2	4	.	.	NOUN
ejpam-2769	2	5	3	3	NUM
ejpam-2769	2	6	,	,	PUNCT
ejpam-2769	2	7	2017	2017	NUM
ejpam-2769	2	8	,	,	PUNCT
ejpam-2769	2	9	535	535	NUM
ejpam-2769	2	10	-	-	SYM
ejpam-2769	2	11	543	543	NUM
ejpam-2769	2	12	issn	issn	PROPN
ejpam-2769	2	13	1307	1307	NUM
ejpam-2769	2	14	-	-	SYM
ejpam-2769	2	15	5543	5543	NUM
ejpam-2769	2	16	–	–	PUNCT
ejpam-2769	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2769	2	18	published	publish	VERB
ejpam-2769	2	19	by	by	ADP
ejpam-2769	2	20	new	new	PROPN
ejpam-2769	2	21	york	york	PROPN
ejpam-2769	2	22	business	business	PROPN
ejpam-2769	2	23	global	global	PROPN
ejpam-2769	2	24	on	on	ADP
ejpam-2769	2	25	an	an	DET
ejpam-2769	2	26	inverse	inverse	NOUN
ejpam-2769	2	27	problem	problem	NOUN
ejpam-2769	2	28	for	for	ADP
ejpam-2769	2	29	sturm	sturm	NOUN
ejpam-2769	2	30	-	-	PUNCT
ejpam-2769	2	31	liouville	liouville	NOUN
ejpam-2769	2	32	equation	equation	NOUN
ejpam-2769	2	33	döne	döne	PROPN
ejpam-2769	2	34	karahan1,∗	karahan1,∗	PROPN
ejpam-2769	2	35	,	,	PUNCT
ejpam-2769	2	36	khanlar	khanlar	PROPN
ejpam-2769	2	37	r.	r.	PROPN
ejpam-2769	2	38	mamedov2	mamedov2	PROPN
ejpam-2769	2	39	1	1	NUM
ejpam-2769	2	40	department	department	NOUN
ejpam-2769	2	41	of	of	ADP
ejpam-2769	2	42	mathematics	mathematics	PROPN
ejpam-2769	2	43	,	,	PUNCT
ejpam-2769	2	44	harran	harran	ADJ
ejpam-2769	2	45	university	university	NOUN
ejpam-2769	2	46	,	,	PUNCT
ejpam-2769	2	47	turkey	turkey	PROPN
ejpam-2769	2	48	2	2	NUM
ejpam-2769	2	49	department	department	NOUN
ejpam-2769	2	50	of	of	ADP
ejpam-2769	2	51	mathematics	mathematics	PROPN
ejpam-2769	2	52	,	,	PUNCT
ejpam-2769	2	53	mersin	mersin	PROPN
ejpam-2769	2	54	university	university	PROPN
ejpam-2769	2	55	,	,	PUNCT
ejpam-2769	2	56	turkey	turkey	PROPN
ejpam-2769	2	57	abstract	abstract	NOUN
ejpam-2769	2	58	.	.	PUNCT
ejpam-2769	3	1	in	in	ADP
ejpam-2769	3	2	this	this	DET
ejpam-2769	3	3	study	study	NOUN
ejpam-2769	3	4	,	,	PUNCT
ejpam-2769	3	5	the	the	DET
ejpam-2769	3	6	theorem	theorem	NOUN
ejpam-2769	3	7	on	on	ADP
ejpam-2769	3	8	necessary	necessary	ADJ
ejpam-2769	3	9	and	and	CCONJ
ejpam-2769	3	10	sufficient	sufficient	ADJ
ejpam-2769	3	11	conditions	condition	NOUN
ejpam-2769	3	12	for	for	ADP
ejpam-2769	3	13	the	the	DET
ejpam-2769	3	14	solvability	solvability	NOUN
ejpam-2769	3	15	of	of	ADP
ejpam-2769	3	16	inverse	inverse	NOUN
ejpam-2769	3	17	problem	problem	NOUN
ejpam-2769	3	18	for	for	ADP
ejpam-2769	3	19	sturm	sturm	NOUN
ejpam-2769	3	20	-	-	PUNCT
ejpam-2769	3	21	liouville	liouville	NOUN
ejpam-2769	3	22	operator	operator	NOUN
ejpam-2769	3	23	with	with	ADP
ejpam-2769	3	24	discontinuous	discontinuous	ADJ
ejpam-2769	3	25	coefficient	coefficient	NOUN
ejpam-2769	3	26	is	be	AUX
ejpam-2769	3	27	proved	prove	VERB
ejpam-2769	3	28	and	and	CCONJ
ejpam-2769	3	29	the	the	DET
ejpam-2769	3	30	algorithm	algorithm	NOUN
ejpam-2769	3	31	of	of	ADP
ejpam-2769	3	32	reconstruction	reconstruction	NOUN
ejpam-2769	3	33	of	of	ADP
ejpam-2769	3	34	potential	potential	NOUN
ejpam-2769	3	35	from	from	ADP
ejpam-2769	3	36	spectral	spectral	ADJ
ejpam-2769	3	37	data	datum	NOUN
ejpam-2769	3	38	(	(	PUNCT
ejpam-2769	3	39	eigenvalues	eigenvalue	NOUN
ejpam-2769	3	40	and	and	CCONJ
ejpam-2769	3	41	normalizing	normalizing	ADJ
ejpam-2769	3	42	numbers	number	NOUN
ejpam-2769	3	43	)	)	PUNCT
ejpam-2769	3	44	is	be	AUX
ejpam-2769	3	45	given	give	VERB
ejpam-2769	3	46	.	.	PUNCT
ejpam-2769	4	1	2010	2010	NUM
ejpam-2769	4	2	mathematics	mathematic	NOUN
ejpam-2769	4	3	subject	subject	NOUN
ejpam-2769	4	4	classifications	classification	NOUN
ejpam-2769	4	5	:	:	PUNCT
ejpam-2769	4	6	34a55	34a55	NUM
ejpam-2769	4	7	,	,	PUNCT
ejpam-2769	4	8	34b24	34b24	NUM
ejpam-2769	4	9	key	key	ADJ
ejpam-2769	4	10	words	word	NOUN
ejpam-2769	4	11	and	and	CCONJ
ejpam-2769	4	12	phrases	phrase	NOUN
ejpam-2769	4	13	:	:	PUNCT
ejpam-2769	4	14	sturm	sturm	NOUN
ejpam-2769	4	15	-	-	PUNCT
ejpam-2769	4	16	liouville	liouville	NOUN
ejpam-2769	4	17	operator	operator	NOUN
ejpam-2769	4	18	,	,	PUNCT
ejpam-2769	4	19	inverse	inverse	NOUN
ejpam-2769	4	20	problem	problem	NOUN
ejpam-2769	4	21	,	,	PUNCT
ejpam-2769	4	22	necessary	necessary	ADJ
ejpam-2769	4	23	and	and	CCONJ
ejpam-2769	4	24	sufficient	sufficient	ADJ
ejpam-2769	4	25	conditions	condition	NOUN
ejpam-2769	4	26	1	1	NUM
ejpam-2769	4	27	.	.	PUNCT
ejpam-2769	5	1	introduction	introduction	NOUN
ejpam-2769	5	2	we	we	PRON
ejpam-2769	5	3	consider	consider	VERB
ejpam-2769	5	4	the	the	DET
ejpam-2769	5	5	boundary	boundary	ADJ
ejpam-2769	5	6	value	value	NOUN
ejpam-2769	5	7	problem	problem	NOUN
ejpam-2769	5	8	−y′′	−y′′	NOUN
ejpam-2769	6	1	+	+	PUNCT
ejpam-2769	6	2	q(x)y	q(x)y	X
ejpam-2769	6	3	=	=	SYM
ejpam-2769	6	4	λ2ρ(x)y	λ2ρ(x)y	NOUN
ejpam-2769	6	5	,	,	PUNCT
ejpam-2769	6	6	0	0	NUM
ejpam-2769	6	7	≤	≤	NUM
ejpam-2769	6	8	x	x	X
ejpam-2769	6	9	≤	≤	NUM
ejpam-2769	6	10	π	π	NOUN
ejpam-2769	6	11	,	,	PUNCT
ejpam-2769	6	12	(	(	PUNCT
ejpam-2769	6	13	1	1	NUM
ejpam-2769	6	14	)	)	PUNCT
ejpam-2769	6	15	y′(0	y′(0	NOUN
ejpam-2769	6	16	)	)	PUNCT
ejpam-2769	6	17	=	=	SYM
ejpam-2769	6	18	0	0	NUM
ejpam-2769	6	19	,	,	PUNCT
ejpam-2769	6	20	y(π	y(π	PROPN
ejpam-2769	6	21	)	)	PUNCT
ejpam-2769	6	22	=	=	SYM
ejpam-2769	6	23	0	0	NUM
ejpam-2769	6	24	,	,	PUNCT
ejpam-2769	6	25	(	(	PUNCT
ejpam-2769	6	26	2	2	X
ejpam-2769	6	27	)	)	PUNCT
ejpam-2769	6	28	where	where	SCONJ
ejpam-2769	6	29	q	q	X
ejpam-2769	6	30	(	(	PUNCT
ejpam-2769	6	31	x	x	NOUN
ejpam-2769	6	32	)	)	PUNCT
ejpam-2769	6	33	∈	∈	NOUN
ejpam-2769	6	34	l2	l2	NOUN
ejpam-2769	6	35	(	(	PUNCT
ejpam-2769	6	36	0	0	NUM
ejpam-2769	6	37	,	,	PUNCT
ejpam-2769	6	38	π	π	X
ejpam-2769	6	39	)	)	PUNCT
ejpam-2769	6	40	is	be	AUX
ejpam-2769	6	41	a	a	DET
ejpam-2769	6	42	real	real	ADV
ejpam-2769	6	43	-	-	PUNCT
ejpam-2769	6	44	valued	value	VERB
ejpam-2769	6	45	function	function	NOUN
ejpam-2769	6	46	,	,	PUNCT
ejpam-2769	6	47	ρ(x	ρ(x	PROPN
ejpam-2769	6	48	)	)	PUNCT
ejpam-2769	6	49	is	be	AUX
ejpam-2769	6	50	a	a	DET
ejpam-2769	6	51	piecewise	piecewise	NOUN
ejpam-2769	6	52	continuous	continuous	ADJ
ejpam-2769	6	53	function	function	NOUN
ejpam-2769	6	54	,	,	PUNCT
ejpam-2769	6	55	λ	λ	PROPN
ejpam-2769	6	56	is	be	AUX
ejpam-2769	6	57	a	a	DET
ejpam-2769	6	58	complex	complex	ADJ
ejpam-2769	6	59	parameter	parameter	NOUN
ejpam-2769	6	60	.	.	PUNCT
ejpam-2769	7	1	this	this	DET
ejpam-2769	7	2	spectral	spectral	ADJ
ejpam-2769	7	3	problem	problem	NOUN
ejpam-2769	7	4	appears	appear	VERB
ejpam-2769	7	5	while	while	SCONJ
ejpam-2769	7	6	solving	solve	VERB
ejpam-2769	7	7	wave	wave	NOUN
ejpam-2769	7	8	or	or	CCONJ
ejpam-2769	7	9	heat	heat	NOUN
ejpam-2769	7	10	equations	equation	NOUN
ejpam-2769	7	11	for	for	ADP
ejpam-2769	7	12	nonhomogeneous	nonhomogeneous	ADJ
ejpam-2769	7	13	density	density	NOUN
ejpam-2769	7	14	of	of	ADP
ejpam-2769	7	15	the	the	DET
ejpam-2769	7	16	material	material	NOUN
ejpam-2769	7	17	[	[	X
ejpam-2769	7	18	1	1	NUM
ejpam-2769	7	19	]	]	PUNCT
ejpam-2769	7	20	,	,	PUNCT
ejpam-2769	7	21	[	[	X
ejpam-2769	7	22	2	2	NUM
ejpam-2769	7	23	]	]	PUNCT
ejpam-2769	7	24	.	.	PUNCT
ejpam-2769	8	1	physical	physical	ADJ
ejpam-2769	8	2	applications	application	NOUN
ejpam-2769	8	3	of	of	ADP
ejpam-2769	8	4	discontinuous	discontinuous	ADJ
ejpam-2769	8	5	sturm	sturm	NOUN
ejpam-2769	8	6	-	-	PUNCT
ejpam-2769	8	7	liouville	liouville	NOUN
ejpam-2769	8	8	problem	problem	NOUN
ejpam-2769	8	9	are	be	AUX
ejpam-2769	8	10	given	give	VERB
ejpam-2769	8	11	in	in	ADP
ejpam-2769	8	12	[	[	X
ejpam-2769	8	13	3]-[8	3]-[8	NUM
ejpam-2769	8	14	]	]	X
ejpam-2769	8	15	.	.	PUNCT
ejpam-2769	9	1	for	for	ADP
ejpam-2769	9	2	simplicity	simplicity	NOUN
ejpam-2769	9	3	,	,	PUNCT
ejpam-2769	9	4	we	we	PRON
ejpam-2769	9	5	will	will	AUX
ejpam-2769	9	6	assume	assume	VERB
ejpam-2769	9	7	that	that	SCONJ
ejpam-2769	9	8	the	the	DET
ejpam-2769	9	9	density	density	NOUN
ejpam-2769	9	10	function	function	NOUN
ejpam-2769	9	11	has	have	VERB
ejpam-2769	9	12	only	only	ADV
ejpam-2769	9	13	one	one	NUM
ejpam-2769	9	14	discontinuity	discontinuity	NOUN
ejpam-2769	9	15	point	point	NOUN
ejpam-2769	9	16	such	such	ADJ
ejpam-2769	9	17	that	that	DET
ejpam-2769	9	18	ρ(x	ρ(x	NOUN
ejpam-2769	9	19	)	)	PUNCT
ejpam-2769	9	20	=	=	PRON
ejpam-2769	9	21	{	{	PUNCT
ejpam-2769	9	22	1	1	NUM
ejpam-2769	9	23	,	,	PUNCT
ejpam-2769	9	24	0	0	NUM
ejpam-2769	9	25	≤	≤	NUM
ejpam-2769	9	26	x	x	SYM
ejpam-2769	9	27	≤	≤	NUM
ejpam-2769	9	28	a	a	PRON
ejpam-2769	9	29	,	,	PUNCT
ejpam-2769	9	30	α2	α2	PROPN
ejpam-2769	9	31	,	,	PUNCT
ejpam-2769	9	32	a	a	DET
ejpam-2769	9	33	<	<	X
ejpam-2769	9	34	x	x	SYM
ejpam-2769	9	35	≤	≤	NUM
ejpam-2769	9	36	π	π	PROPN
ejpam-2769	9	37	,	,	PUNCT
ejpam-2769	9	38	(	(	PUNCT
ejpam-2769	9	39	3	3	X
ejpam-2769	9	40	)	)	PUNCT
ejpam-2769	9	41	where	where	SCONJ
ejpam-2769	9	42	0	0	NUM
ejpam-2769	9	43	<	<	X
ejpam-2769	9	44	α	α	PROPN
ejpam-2769	9	45	6=	6=	PROPN
ejpam-2769	9	46	1	1	NUM
ejpam-2769	9	47	.	.	PUNCT
ejpam-2769	9	48	direct	direct	ADJ
ejpam-2769	9	49	problem	problem	NOUN
ejpam-2769	9	50	of	of	ADP
ejpam-2769	9	51	spectral	spectral	ADJ
ejpam-2769	9	52	analysis	analysis	NOUN
ejpam-2769	9	53	for	for	ADP
ejpam-2769	9	54	sturm	sturm	NOUN
ejpam-2769	9	55	-	-	PUNCT
ejpam-2769	9	56	liouville	liouville	NOUN
ejpam-2769	9	57	problem	problem	NOUN
ejpam-2769	9	58	is	be	AUX
ejpam-2769	9	59	investigated	investigate	VERB
ejpam-2769	9	60	properties	property	NOUN
ejpam-2769	9	61	of	of	ADP
ejpam-2769	9	62	eigenvalues	eigenvalue	NOUN
ejpam-2769	9	63	and	and	CCONJ
ejpam-2769	9	64	eigenfunctions	eigenfunction	NOUN
ejpam-2769	9	65	,	,	PUNCT
ejpam-2769	9	66	finding	find	VERB
ejpam-2769	9	67	normalizing	normalizing	ADJ
ejpam-2769	9	68	numbers	number	NOUN
ejpam-2769	9	69	,	,	PUNCT
ejpam-2769	9	70	spectrum	spectrum	NOUN
ejpam-2769	9	71	set	set	NOUN
ejpam-2769	9	72	of	of	ADP
ejpam-2769	9	73	the	the	DET
ejpam-2769	9	74	boundary	boundary	ADJ
ejpam-2769	9	75	value	value	NOUN
ejpam-2769	9	76	problem	problem	NOUN
ejpam-2769	9	77	,	,	PUNCT
ejpam-2769	9	78	scattering	scatter	VERB
ejpam-2769	9	79	data	datum	NOUN
ejpam-2769	9	80	and	and	CCONJ
ejpam-2769	9	81	some	some	DET
ejpam-2769	9	82	other	other	ADJ
ejpam-2769	9	83	values	value	NOUN
ejpam-2769	9	84	.	.	PUNCT
ejpam-2769	10	1	it	it	PRON
ejpam-2769	10	2	is	be	AUX
ejpam-2769	10	3	important	important	ADJ
ejpam-2769	10	4	to	to	PART
ejpam-2769	10	5	investigate	investigate	VERB
ejpam-2769	10	6	these	these	DET
ejpam-2769	10	7	properties	property	NOUN
ejpam-2769	10	8	.	.	PUNCT
ejpam-2769	11	1	inverse	inverse	ADJ
ejpam-2769	11	2	problem	problem	NOUN
ejpam-2769	11	3	of	of	ADP
ejpam-2769	11	4	spectral	spectral	ADJ
ejpam-2769	11	5	analysis	analysis	NOUN
ejpam-2769	11	6	is	be	AUX
ejpam-2769	11	7	to	to	PART
ejpam-2769	11	8	final	final	VERB
ejpam-2769	11	9	the	the	DET
ejpam-2769	11	10	coefficient	coefficient	NOUN
ejpam-2769	11	11	of	of	ADP
ejpam-2769	11	12	∗corresponding	∗corresponde	VERB
ejpam-2769	11	13	author	author	NOUN
ejpam-2769	11	14	.	.	PUNCT
ejpam-2769	12	1	email	email	NOUN
ejpam-2769	12	2	addresses	address	NOUN
ejpam-2769	12	3	:	:	PUNCT
ejpam-2769	12	4	dkarahan@harran.edu.tr	dkarahan@harran.edu.tr	PROPN
ejpam-2769	12	5	(	(	PUNCT
ejpam-2769	12	6	d.	d.	PROPN
ejpam-2769	12	7	karahan	karahan	PROPN
ejpam-2769	12	8	)	)	PUNCT
ejpam-2769	12	9	,	,	PUNCT
ejpam-2769	12	10	hanlar@mersin.edu.tr	hanlar@mersin.edu.tr	X
ejpam-2769	12	11	(	(	PUNCT
ejpam-2769	12	12	kh	kh	PROPN
ejpam-2769	12	13	.	.	PUNCT
ejpam-2769	12	14	r.	r.	PROPN
ejpam-2769	12	15	mamedov	mamedov	PROPN
ejpam-2769	12	16	)	)	PUNCT
ejpam-2769	12	17	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2769	13	1	535	535	NUM
ejpam-2769	13	2	c	c	X
ejpam-2769	13	3	©	©	PROPN
ejpam-2769	13	4	2017	2017	NUM
ejpam-2769	13	5	ejpam	ejpam	VERB
ejpam-2769	13	6	all	all	DET
ejpam-2769	13	7	rights	right	NOUN
ejpam-2769	13	8	reserved	reserve	VERB
ejpam-2769	13	9	.	.	PUNCT
ejpam-2769	14	1	d.	d.	PROPN
ejpam-2769	14	2	karahan	karahan	PROPN
ejpam-2769	14	3	,	,	PUNCT
ejpam-2769	14	4	kh	kh	PROPN
ejpam-2769	14	5	.	.	PUNCT
ejpam-2769	14	6	r.	r.	PROPN
ejpam-2769	14	7	mamedov	mamedov	PROPN
ejpam-2769	14	8	/	/	SYM
ejpam-2769	14	9	eur	eur	PROPN
ejpam-2769	14	10	.	.	PUNCT
ejpam-2769	15	1	j.	j.	PROPN
ejpam-2769	15	2	pure	pure	PROPN
ejpam-2769	15	3	appl	appl	PROPN
ejpam-2769	15	4	.	.	PROPN
ejpam-2769	15	5	math	math	PROPN
ejpam-2769	15	6	,	,	PUNCT
ejpam-2769	15	7	10	10	NUM
ejpam-2769	15	8	(	(	PUNCT
ejpam-2769	15	9	3	3	NUM
ejpam-2769	15	10	)	)	PUNCT
ejpam-2769	15	11	(	(	PUNCT
ejpam-2769	15	12	2017	2017	NUM
ejpam-2769	15	13	)	)	PUNCT
ejpam-2769	15	14	,	,	PUNCT
ejpam-2769	15	15	535	535	NUM
ejpam-2769	15	16	-	-	SYM
ejpam-2769	15	17	543	543	NUM
ejpam-2769	15	18	536	536	NUM
ejpam-2769	15	19	the	the	DET
ejpam-2769	15	20	equation	equation	NOUN
ejpam-2769	15	21	for	for	ADP
ejpam-2769	15	22	given	give	VERB
ejpam-2769	15	23	spectral	spectral	ADJ
ejpam-2769	15	24	data	datum	NOUN
ejpam-2769	15	25	.	.	PUNCT
ejpam-2769	16	1	this	this	PRON
ejpam-2769	16	2	has	have	VERB
ejpam-2769	16	3	to	to	PART
ejpam-2769	16	4	be	be	AUX
ejpam-2769	16	5	done	do	VERB
ejpam-2769	16	6	uniquely	uniquely	ADV
ejpam-2769	16	7	,	,	PUNCT
ejpam-2769	16	8	so	so	SCONJ
ejpam-2769	16	9	that	that	SCONJ
ejpam-2769	16	10	it	it	PRON
ejpam-2769	16	11	gives	give	VERB
ejpam-2769	16	12	the	the	DET
ejpam-2769	16	13	uniqueness	uniqueness	NOUN
ejpam-2769	16	14	of	of	ADP
ejpam-2769	16	15	the	the	DET
ejpam-2769	16	16	inverse	inverse	NOUN
ejpam-2769	16	17	problem	problem	NOUN
ejpam-2769	16	18	.	.	PUNCT
ejpam-2769	17	1	in	in	ADP
ejpam-2769	17	2	the	the	DET
ejpam-2769	17	3	process	process	NOUN
ejpam-2769	17	4	of	of	ADP
ejpam-2769	17	5	the	the	DET
ejpam-2769	17	6	solution	solution	NOUN
ejpam-2769	17	7	of	of	ADP
ejpam-2769	17	8	the	the	DET
ejpam-2769	17	9	inverse	inverse	NOUN
ejpam-2769	17	10	problem	problem	NOUN
ejpam-2769	17	11	giving	give	VERB
ejpam-2769	17	12	an	an	DET
ejpam-2769	17	13	algorithm	algorithm	NOUN
ejpam-2769	17	14	for	for	ADP
ejpam-2769	17	15	constructing	construct	VERB
ejpam-2769	17	16	the	the	DET
ejpam-2769	17	17	potential	potential	NOUN
ejpam-2769	17	18	is	be	AUX
ejpam-2769	17	19	important	important	ADJ
ejpam-2769	17	20	.	.	PUNCT
ejpam-2769	18	1	for	for	ADP
ejpam-2769	18	2	ρ(x	ρ(x	NOUN
ejpam-2769	18	3	)	)	PUNCT
ejpam-2769	18	4	≡	≡	PROPN
ejpam-2769	18	5	1	1	NUM
ejpam-2769	18	6	,	,	PUNCT
ejpam-2769	18	7	solutions	solution	NOUN
ejpam-2769	18	8	of	of	ADP
ejpam-2769	18	9	inverse	inverse	NOUN
ejpam-2769	18	10	problem	problem	NOUN
ejpam-2769	18	11	for	for	ADP
ejpam-2769	18	12	equation	equation	NOUN
ejpam-2769	18	13	(	(	PUNCT
ejpam-2769	18	14	1	1	X
ejpam-2769	18	15	)	)	PUNCT
ejpam-2769	18	16	is	be	AUX
ejpam-2769	18	17	given	give	VERB
ejpam-2769	18	18	by	by	ADP
ejpam-2769	18	19	[	[	X
ejpam-2769	18	20	9]-[16	9]-[16	NOUN
ejpam-2769	18	21	]	]	X
ejpam-2769	18	22	.	.	PUNCT
ejpam-2769	19	1	for	for	ADP
ejpam-2769	19	2	ρ(x	ρ(x	NOUN
ejpam-2769	19	3	)	)	PUNCT
ejpam-2769	19	4	6=	6=	ADP
ejpam-2769	19	5	1	1	NUM
ejpam-2769	19	6	,	,	PUNCT
ejpam-2769	19	7	under	under	ADP
ejpam-2769	19	8	different	different	ADJ
ejpam-2769	19	9	boundary	boundary	ADJ
ejpam-2769	19	10	conditions	condition	NOUN
ejpam-2769	19	11	similar	similar	ADJ
ejpam-2769	19	12	problem	problem	NOUN
ejpam-2769	19	13	is	be	AUX
ejpam-2769	19	14	solved	solve	VERB
ejpam-2769	19	15	in	in	ADP
ejpam-2769	19	16	[	[	X
ejpam-2769	19	17	17]-[21	17]-[21	PROPN
ejpam-2769	19	18	]	]	X
ejpam-2769	19	19	.	.	PUNCT
ejpam-2769	20	1	when	when	SCONJ
ejpam-2769	20	2	boundary	boundary	ADJ
ejpam-2769	20	3	conditions	condition	NOUN
ejpam-2769	20	4	contain	contain	VERB
ejpam-2769	20	5	spectral	spectral	ADJ
ejpam-2769	20	6	parameter	parameter	NOUN
ejpam-2769	20	7	,	,	PUNCT
ejpam-2769	20	8	it	it	PRON
ejpam-2769	20	9	is	be	AUX
ejpam-2769	20	10	solved	solve	VERB
ejpam-2769	20	11	by	by	ADP
ejpam-2769	20	12	[	[	X
ejpam-2769	20	13	22	22	NUM
ejpam-2769	20	14	]	]	PUNCT
ejpam-2769	20	15	,	,	PUNCT
ejpam-2769	20	16	[	[	X
ejpam-2769	20	17	23	23	NUM
ejpam-2769	20	18	]	]	PUNCT
ejpam-2769	20	19	.	.	PUNCT
ejpam-2769	21	1	the	the	DET
ejpam-2769	21	2	inverse	inverse	NOUN
ejpam-2769	21	3	problem	problem	NOUN
ejpam-2769	21	4	for	for	ADP
ejpam-2769	21	5	this	this	DET
ejpam-2769	21	6	equation	equation	NOUN
ejpam-2769	21	7	is	be	AUX
ejpam-2769	21	8	to	to	PART
ejpam-2769	21	9	find	find	VERB
ejpam-2769	21	10	necessary	necessary	ADJ
ejpam-2769	21	11	and	and	CCONJ
ejpam-2769	21	12	sufficient	sufficient	ADJ
ejpam-2769	21	13	conditions	condition	NOUN
ejpam-2769	21	14	for	for	ADP
ejpam-2769	21	15	any	any	DET
ejpam-2769	21	16	data	datum	NOUN
ejpam-2769	21	17	set	set	VERB
ejpam-2769	21	18	to	to	PART
ejpam-2769	21	19	be	be	AUX
ejpam-2769	21	20	spectral	spectral	ADJ
ejpam-2769	21	21	data	datum	NOUN
ejpam-2769	21	22	.	.	PUNCT
ejpam-2769	22	1	the	the	DET
ejpam-2769	22	2	main	main	NOUN
ejpam-2769	22	3	of	of	ADP
ejpam-2769	22	4	this	this	DET
ejpam-2769	22	5	work	work	NOUN
ejpam-2769	22	6	is	be	AUX
ejpam-2769	22	7	to	to	PART
ejpam-2769	22	8	find	find	VERB
ejpam-2769	22	9	these	these	DET
ejpam-2769	22	10	conditions	condition	NOUN
ejpam-2769	22	11	for	for	ADP
ejpam-2769	22	12	(	(	PUNCT
ejpam-2769	22	13	1	1	NUM
ejpam-2769	22	14	)	)	PUNCT
ejpam-2769	22	15	,	,	PUNCT
ejpam-2769	22	16	(	(	PUNCT
ejpam-2769	22	17	2	2	X
ejpam-2769	22	18	)	)	PUNCT
ejpam-2769	22	19	boundary	boundary	ADJ
ejpam-2769	22	20	value	value	NOUN
ejpam-2769	22	21	problem	problem	NOUN
ejpam-2769	22	22	.	.	PUNCT
ejpam-2769	23	1	firstly	firstly	ADV
ejpam-2769	23	2	spectral	spectral	ADJ
ejpam-2769	23	3	data	datum	NOUN
ejpam-2769	23	4	is	be	AUX
ejpam-2769	23	5	defined	define	VERB
ejpam-2769	23	6	.	.	PUNCT
ejpam-2769	24	1	characteristic	characteristic	ADJ
ejpam-2769	24	2	properties	property	NOUN
ejpam-2769	24	3	of	of	ADP
ejpam-2769	24	4	these	these	DET
ejpam-2769	24	5	values	value	NOUN
ejpam-2769	24	6	are	be	AUX
ejpam-2769	24	7	investigated	investigate	VERB
ejpam-2769	24	8	in	in	ADP
ejpam-2769	24	9	[	[	X
ejpam-2769	24	10	20	20	NUM
ejpam-2769	24	11	]	]	PUNCT
ejpam-2769	24	12	and	and	CCONJ
ejpam-2769	24	13	also	also	ADV
ejpam-2769	24	14	uniqueness	uniqueness	NOUN
ejpam-2769	24	15	of	of	ADP
ejpam-2769	24	16	the	the	DET
ejpam-2769	24	17	solution	solution	NOUN
ejpam-2769	24	18	of	of	ADP
ejpam-2769	24	19	the	the	DET
ejpam-2769	24	20	inverse	inverse	NOUN
ejpam-2769	24	21	problem	problem	NOUN
ejpam-2769	24	22	is	be	AUX
ejpam-2769	24	23	proved	prove	VERB
ejpam-2769	24	24	.	.	PUNCT
ejpam-2769	25	1	consequently	consequently	ADV
ejpam-2769	25	2	,	,	PUNCT
ejpam-2769	25	3	in	in	ADP
ejpam-2769	25	4	this	this	DET
ejpam-2769	25	5	work	work	NOUN
ejpam-2769	25	6	for	for	ADP
ejpam-2769	25	7	(	(	PUNCT
ejpam-2769	25	8	1	1	NUM
ejpam-2769	25	9	)	)	PUNCT
ejpam-2769	25	10	,	,	PUNCT
ejpam-2769	25	11	(	(	PUNCT
ejpam-2769	25	12	2	2	X
ejpam-2769	25	13	)	)	PUNCT
ejpam-2769	25	14	spectral	spectral	ADJ
ejpam-2769	25	15	problem	problem	NOUN
ejpam-2769	25	16	,	,	PUNCT
ejpam-2769	25	17	solution	solution	NOUN
ejpam-2769	25	18	of	of	ADP
ejpam-2769	25	19	the	the	DET
ejpam-2769	25	20	inverse	inverse	NOUN
ejpam-2769	25	21	problem	problem	NOUN
ejpam-2769	25	22	is	be	AUX
ejpam-2769	25	23	given	give	VERB
ejpam-2769	25	24	with	with	ADP
ejpam-2769	25	25	respect	respect	NOUN
ejpam-2769	25	26	to	to	ADP
ejpam-2769	25	27	the	the	DET
ejpam-2769	25	28	spectral	spectral	ADJ
ejpam-2769	25	29	data	datum	NOUN
ejpam-2769	25	30	.	.	PUNCT
ejpam-2769	26	1	for	for	ADP
ejpam-2769	26	2	(	(	PUNCT
ejpam-2769	26	3	1	1	NUM
ejpam-2769	26	4	)	)	PUNCT
ejpam-2769	26	5	,	,	PUNCT
ejpam-2769	26	6	(	(	PUNCT
ejpam-2769	26	7	2	2	X
ejpam-2769	26	8	)	)	PUNCT
ejpam-2769	26	9	boundary	boundary	ADJ
ejpam-2769	26	10	value	value	NOUN
ejpam-2769	26	11	problem	problem	NOUN
ejpam-2769	26	12	in	in	ADP
ejpam-2769	26	13	[	[	X
ejpam-2769	26	14	20	20	NUM
ejpam-2769	26	15	]	]	PUNCT
ejpam-2769	26	16	,	,	PUNCT
ejpam-2769	26	17	it	it	PRON
ejpam-2769	26	18	is	be	AUX
ejpam-2769	26	19	shown	show	VERB
ejpam-2769	26	20	that	that	SCONJ
ejpam-2769	26	21	the	the	DET
ejpam-2769	26	22	real	real	ADJ
ejpam-2769	26	23	numbers	number	NOUN
ejpam-2769	26	24	{	{	PUNCT
ejpam-2769	26	25	λ2n	λ2n	NOUN
ejpam-2769	26	26	,	,	PUNCT
ejpam-2769	26	27	αn	αn	NOUN
ejpam-2769	26	28	}	}	PUNCT
ejpam-2769	26	29	n≥1	n≥1	NOUN
ejpam-2769	26	30	satisfy	satisfy	NOUN
ejpam-2769	26	31	the	the	DET
ejpam-2769	26	32	following	follow	VERB
ejpam-2769	26	33	λn	λn	NOUN
ejpam-2769	26	34	=	=	PUNCT
ejpam-2769	27	1	λ0n	λ0n	X
ejpam-2769	27	2	+	+	CCONJ
ejpam-2769	27	3	dn	dn	PROPN
ejpam-2769	27	4	λ0n	λ0n	PROPN
ejpam-2769	27	5	+	+	CCONJ
ejpam-2769	27	6	kn	kn	PROPN
ejpam-2769	27	7	n	n	NOUN
ejpam-2769	27	8	,	,	PUNCT
ejpam-2769	27	9	αn	αn	NOUN
ejpam-2769	27	10	=	=	SYM
ejpam-2769	28	1	α0	α0	ADJ
ejpam-2769	28	2	n	n	CCONJ
ejpam-2769	28	3	+	+	NUM
ejpam-2769	28	4	tn	tn	PROPN
ejpam-2769	28	5	n	n	PROPN
ejpam-2769	28	6	,	,	PUNCT
ejpam-2769	28	7	{	{	PUNCT
ejpam-2769	28	8	kn	kn	NOUN
ejpam-2769	28	9	}	}	PUNCT
ejpam-2769	28	10	,	,	PUNCT
ejpam-2769	28	11	{	{	PUNCT
ejpam-2769	28	12	tn	tn	NOUN
ejpam-2769	28	13	}	}	PUNCT
ejpam-2769	28	14	∈	∈	PROPN
ejpam-2769	28	15	l2	l2	NOUN
ejpam-2769	28	16	,	,	PUNCT
ejpam-2769	28	17	(	(	PUNCT
ejpam-2769	28	18	4	4	X
ejpam-2769	28	19	)	)	PUNCT
ejpam-2769	28	20	where	where	SCONJ
ejpam-2769	28	21	λ0n	λ0n	NOUN
ejpam-2769	28	22	are	be	AUX
ejpam-2769	28	23	zeros	zero	NOUN
ejpam-2769	28	24	of	of	ADP
ejpam-2769	28	25	the	the	DET
ejpam-2769	28	26	function	function	NOUN
ejpam-2769	28	27	∆0(λ	∆0(λ	NOUN
ejpam-2769	28	28	)	)	PUNCT
ejpam-2769	28	29	=	=	SYM
ejpam-2769	28	30	1	1	NUM
ejpam-2769	28	31	2	2	NUM
ejpam-2769	28	32	(	(	PUNCT
ejpam-2769	28	33	1	1	NUM
ejpam-2769	28	34	+	+	SYM
ejpam-2769	28	35	1	1	NUM
ejpam-2769	28	36	α	α	NOUN
ejpam-2769	28	37	)	)	PUNCT
ejpam-2769	28	38	cosλµ+(π	cosλµ+(π	PROPN
ejpam-2769	28	39	)	)	PUNCT
ejpam-2769	28	40	+	+	CCONJ
ejpam-2769	28	41	1	1	NUM
ejpam-2769	28	42	2	2	NUM
ejpam-2769	28	43	(	(	PUNCT
ejpam-2769	28	44	1−	1−	NUM
ejpam-2769	28	45	1	1	NUM
ejpam-2769	28	46	α	α	NOUN
ejpam-2769	28	47	)	)	PUNCT
ejpam-2769	28	48	cosλµ−(π	cosλµ−(π	NOUN
ejpam-2769	28	49	)	)	PUNCT
ejpam-2769	28	50	,	,	PUNCT
ejpam-2769	28	51	dn	dn	NOUN
ejpam-2769	28	52	=	=	SYM
ejpam-2769	28	53	h+	h+	X
ejpam-2769	28	54	sinλ0nµ	sinλ0nµ	PROPN
ejpam-2769	28	55	+	+	PROPN
ejpam-2769	28	56	(	(	PUNCT
ejpam-2769	28	57	π	π	NOUN
ejpam-2769	28	58	)	)	PUNCT
ejpam-2769	29	1	+	+	CCONJ
ejpam-2769	29	2	h−	h−	PROPN
ejpam-2769	29	3	sinλ0nµ	sinλ0nµ	PROPN
ejpam-2769	29	4	−(π	−(π	PROPN
ejpam-2769	29	5	)	)	PUNCT
ejpam-2769	29	6	1	1	NUM
ejpam-2769	29	7	2(1	2(1	NUM
ejpam-2769	29	8	+	+	CCONJ
ejpam-2769	29	9	1	1	NUM
ejpam-2769	29	10	α)µ+(π	α)µ+(π	NUM
ejpam-2769	29	11	)	)	PUNCT
ejpam-2769	29	12	sinλ0nµ	sinλ0nµ	PROPN
ejpam-2769	30	1	+	+	PROPN
ejpam-2769	30	2	(	(	PUNCT
ejpam-2769	30	3	π	π	NOUN
ejpam-2769	30	4	)	)	PUNCT
ejpam-2769	30	5	+	+	CCONJ
ejpam-2769	30	6	1	1	NUM
ejpam-2769	30	7	2(1−	2(1−	NUM
ejpam-2769	30	8	1	1	NUM
ejpam-2769	30	9	α)µ−(π	α)µ−(π	NOUN
ejpam-2769	30	10	)	)	PUNCT
ejpam-2769	30	11	sinλ0nµ	sinλ0nµ	PROPN
ejpam-2769	30	12	−(π	−(π	PROPN
ejpam-2769	30	13	)	)	PUNCT
ejpam-2769	30	14	is	be	AUX
ejpam-2769	30	15	a	a	DET
ejpam-2769	30	16	bounded	bounded	ADJ
ejpam-2769	30	17	sequence	sequence	NOUN
ejpam-2769	30	18	.	.	PUNCT
ejpam-2769	31	1	in	in	ADP
ejpam-2769	31	2	[	[	X
ejpam-2769	31	3	18	18	NUM
ejpam-2769	31	4	]	]	X
ejpam-2769	31	5	it	it	PRON
ejpam-2769	31	6	is	be	AUX
ejpam-2769	31	7	proved	prove	VERB
ejpam-2769	31	8	,	,	PUNCT
ejpam-2769	31	9	that	that	SCONJ
ejpam-2769	31	10	the	the	DET
ejpam-2769	31	11	solution	solution	NOUN
ejpam-2769	31	12	ϕ(x	ϕ(x	PROPN
ejpam-2769	31	13	,	,	PUNCT
ejpam-2769	31	14	λ	λ	NOUN
ejpam-2769	31	15	)	)	PUNCT
ejpam-2769	31	16	of	of	ADP
ejpam-2769	31	17	the	the	DET
ejpam-2769	31	18	equation	equation	NOUN
ejpam-2769	31	19	(	(	PUNCT
ejpam-2769	31	20	1	1	NUM
ejpam-2769	31	21	)	)	PUNCT
ejpam-2769	31	22	with	with	ADP
ejpam-2769	31	23	initial	initial	ADJ
ejpam-2769	31	24	date	date	NOUN
ejpam-2769	31	25	ϕ(0	ϕ(0	PROPN
ejpam-2769	31	26	,	,	PUNCT
ejpam-2769	31	27	λ	λ	PROPN
ejpam-2769	31	28	)	)	PUNCT
ejpam-2769	31	29	=	=	SYM
ejpam-2769	31	30	1	1	NUM
ejpam-2769	31	31	,	,	PUNCT
ejpam-2769	31	32	ϕ′(0	ϕ′(0	NOUN
ejpam-2769	31	33	,	,	PUNCT
ejpam-2769	31	34	λ	λ	NOUN
ejpam-2769	31	35	)	)	PUNCT
ejpam-2769	31	36	=	=	SYM
ejpam-2769	31	37	0	0	PUNCT
ejpam-2769	31	38	can	can	AUX
ejpam-2769	31	39	be	be	AUX
ejpam-2769	31	40	represented	represent	VERB
ejpam-2769	31	41	as	as	ADP
ejpam-2769	31	42	ϕ(x	ϕ(x	PROPN
ejpam-2769	31	43	,	,	PUNCT
ejpam-2769	31	44	λ	λ	X
ejpam-2769	31	45	)	)	PUNCT
ejpam-2769	31	46	=	=	SYM
ejpam-2769	31	47	ϕ0(x	ϕ0(x	PROPN
ejpam-2769	31	48	,	,	PUNCT
ejpam-2769	31	49	λ	λ	NOUN
ejpam-2769	31	50	)	)	PUNCT
ejpam-2769	32	1	+	+	NUM
ejpam-2769	32	2	∫	∫	PROPN
ejpam-2769	32	3	µ+(x	µ+(x	NUM
ejpam-2769	32	4	)	)	PUNCT
ejpam-2769	32	5	0	0	PUNCT
ejpam-2769	33	1	a(x	a(x	PROPN
ejpam-2769	33	2	,	,	PUNCT
ejpam-2769	33	3	t	t	PROPN
ejpam-2769	33	4	)	)	PUNCT
ejpam-2769	33	5	cosλtdt	cosλtdt	NOUN
ejpam-2769	33	6	,	,	PUNCT
ejpam-2769	33	7	(	(	PUNCT
ejpam-2769	33	8	5	5	NUM
ejpam-2769	33	9	)	)	PUNCT
ejpam-2769	33	10	where	where	SCONJ
ejpam-2769	33	11	a(x	a(x	NOUN
ejpam-2769	33	12	,	,	PUNCT
ejpam-2769	33	13	t	t	PROPN
ejpam-2769	33	14	)	)	PUNCT
ejpam-2769	33	15	belongs	belong	VERB
ejpam-2769	33	16	to	to	ADP
ejpam-2769	33	17	the	the	DET
ejpam-2769	33	18	space	space	NOUN
ejpam-2769	33	19	l2(0	l2(0	NOUN
ejpam-2769	33	20	,	,	PUNCT
ejpam-2769	33	21	π	π	NOUN
ejpam-2769	33	22	)	)	PUNCT
ejpam-2769	33	23	for	for	ADP
ejpam-2769	33	24	each	each	DET
ejpam-2769	33	25	fixed	fix	VERB
ejpam-2769	33	26	x	x	SYM
ejpam-2769	33	27	∈	∈	PROPN
ejpam-2769	34	1	[	[	X
ejpam-2769	34	2	0	0	NUM
ejpam-2769	34	3	,	,	PUNCT
ejpam-2769	34	4	π	π	X
ejpam-2769	34	5	]	]	PUNCT
ejpam-2769	34	6	and	and	CCONJ
ejpam-2769	34	7	is	be	AUX
ejpam-2769	34	8	related	relate	VERB
ejpam-2769	34	9	to	to	ADP
ejpam-2769	34	10	the	the	DET
ejpam-2769	34	11	coefficient	coefficient	NOUN
ejpam-2769	34	12	q(x	q(x	NOUN
ejpam-2769	34	13	)	)	PUNCT
ejpam-2769	34	14	of	of	ADP
ejpam-2769	34	15	the	the	DET
ejpam-2769	34	16	equation	equation	NOUN
ejpam-2769	34	17	(	(	PUNCT
ejpam-2769	34	18	1	1	NUM
ejpam-2769	34	19	)	)	PUNCT
ejpam-2769	34	20	by	by	ADP
ejpam-2769	34	21	the	the	DET
ejpam-2769	34	22	formula	formula	NOUN
ejpam-2769	34	23	:	:	PUNCT
ejpam-2769	34	24	d	d	X
ejpam-2769	34	25	dx	dx	PROPN
ejpam-2769	34	26	a(x	a(x	PROPN
ejpam-2769	34	27	,	,	PUNCT
ejpam-2769	34	28	µ+(x	µ+(x	NUM
ejpam-2769	34	29	)	)	PUNCT
ejpam-2769	34	30	)	)	PUNCT
ejpam-2769	34	31	=	=	SYM
ejpam-2769	35	1	1	1	NUM
ejpam-2769	35	2	4	4	NUM
ejpam-2769	35	3	√	√	NUM
ejpam-2769	35	4	ρ(x	ρ(x	NUM
ejpam-2769	35	5	)	)	PUNCT
ejpam-2769	35	6	(	(	PUNCT
ejpam-2769	35	7	1	1	NUM
ejpam-2769	35	8	+	+	CCONJ
ejpam-2769	35	9	1√	1√	PROPN
ejpam-2769	35	10	ρ(x	ρ(x	NOUN
ejpam-2769	35	11	)	)	PUNCT
ejpam-2769	35	12	)	)	PUNCT
ejpam-2769	36	1	q(x	q(x	PROPN
ejpam-2769	36	2	)	)	PUNCT
ejpam-2769	36	3	,	,	PUNCT
ejpam-2769	36	4	(	(	PUNCT
ejpam-2769	36	5	6	6	NUM
ejpam-2769	36	6	)	)	PUNCT
ejpam-2769	36	7	ϕ0(x	ϕ0(x	NUM
ejpam-2769	36	8	,	,	PUNCT
ejpam-2769	36	9	λ	λ	NOUN
ejpam-2769	36	10	)	)	PUNCT
ejpam-2769	36	11	=	=	SYM
ejpam-2769	36	12	1	1	NUM
ejpam-2769	36	13	2	2	NUM
ejpam-2769	36	14	(	(	PUNCT
ejpam-2769	36	15	1	1	NUM
ejpam-2769	36	16	+	+	CCONJ
ejpam-2769	36	17	1√	1√	PROPN
ejpam-2769	36	18	ρ(x	ρ(x	NOUN
ejpam-2769	36	19	)	)	PUNCT
ejpam-2769	36	20	)	)	PUNCT
ejpam-2769	36	21	cosλµ+(x	cosλµ+(x	PROPN
ejpam-2769	36	22	)	)	PUNCT
ejpam-2769	37	1	+	+	CCONJ
ejpam-2769	37	2	1	1	NUM
ejpam-2769	37	3	2	2	NUM
ejpam-2769	37	4	(	(	PUNCT
ejpam-2769	37	5	1−	1−	NUM
ejpam-2769	37	6	1√	1√	PROPN
ejpam-2769	37	7	ρ(x	ρ(x	PROPN
ejpam-2769	37	8	)	)	PUNCT
ejpam-2769	37	9	)	)	PUNCT
ejpam-2769	37	10	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	37	11	)	)	PUNCT
ejpam-2769	37	12	(	(	PUNCT
ejpam-2769	37	13	7	7	X
ejpam-2769	37	14	)	)	PUNCT
ejpam-2769	37	15	is	be	AUX
ejpam-2769	37	16	the	the	DET
ejpam-2769	37	17	solution	solution	NOUN
ejpam-2769	37	18	of	of	ADP
ejpam-2769	37	19	(	(	PUNCT
ejpam-2769	37	20	1	1	NUM
ejpam-2769	37	21	)	)	PUNCT
ejpam-2769	37	22	when	when	SCONJ
ejpam-2769	37	23	q(x	q(x	NOUN
ejpam-2769	37	24	)	)	PUNCT
ejpam-2769	37	25	≡	≡	PROPN
ejpam-2769	37	26	0	0	NUM
ejpam-2769	37	27	,	,	PUNCT
ejpam-2769	37	28	µ+(x	µ+(x	NUM
ejpam-2769	37	29	)	)	PUNCT
ejpam-2769	37	30	=	=	SYM
ejpam-2769	37	31	±x	±x	PROPN
ejpam-2769	37	32	√	√	NUM
ejpam-2769	37	33	ρ(x	ρ(x	NUM
ejpam-2769	37	34	)	)	PUNCT
ejpam-2769	38	1	+	+	CCONJ
ejpam-2769	38	2	a	a	DET
ejpam-2769	38	3	(	(	PUNCT
ejpam-2769	38	4	1∓	1∓	NUM
ejpam-2769	38	5	√	√	NUM
ejpam-2769	38	6	ρ(x	ρ(x	NUM
ejpam-2769	38	7	)	)	PUNCT
ejpam-2769	38	8	)	)	PUNCT
ejpam-2769	38	9	.	.	PUNCT
ejpam-2769	39	1	(	(	PUNCT
ejpam-2769	39	2	8)	8)	NUM
ejpam-2769	39	3	d.	d.	PROPN
ejpam-2769	39	4	karahan	karahan	PROPN
ejpam-2769	39	5	,	,	PUNCT
ejpam-2769	39	6	kh	kh	PROPN
ejpam-2769	39	7	.	.	PUNCT
ejpam-2769	39	8	r.	r.	PROPN
ejpam-2769	39	9	mamedov	mamedov	PROPN
ejpam-2769	39	10	/	/	SYM
ejpam-2769	39	11	eur	eur	PROPN
ejpam-2769	39	12	.	.	PUNCT
ejpam-2769	40	1	j.	j.	PROPN
ejpam-2769	40	2	pure	pure	PROPN
ejpam-2769	40	3	appl	appl	PROPN
ejpam-2769	40	4	.	.	PROPN
ejpam-2769	40	5	math	math	PROPN
ejpam-2769	40	6	,	,	PUNCT
ejpam-2769	40	7	10	10	NUM
ejpam-2769	40	8	(	(	PUNCT
ejpam-2769	40	9	3	3	NUM
ejpam-2769	40	10	)	)	PUNCT
ejpam-2769	40	11	(	(	PUNCT
ejpam-2769	40	12	2017	2017	NUM
ejpam-2769	40	13	)	)	PUNCT
ejpam-2769	40	14	,	,	PUNCT
ejpam-2769	40	15	535	535	NUM
ejpam-2769	40	16	-	-	SYM
ejpam-2769	40	17	543	543	NUM
ejpam-2769	40	18	537	537	NUM
ejpam-2769	40	19	the	the	DET
ejpam-2769	40	20	characteristic	characteristic	ADJ
ejpam-2769	40	21	function	function	NOUN
ejpam-2769	40	22	∆(λ	∆(λ	NOUN
ejpam-2769	40	23	)	)	PUNCT
ejpam-2769	40	24	of	of	ADP
ejpam-2769	40	25	the	the	DET
ejpam-2769	40	26	problem	problem	NOUN
ejpam-2769	40	27	(	(	PUNCT
ejpam-2769	40	28	1	1	NUM
ejpam-2769	40	29	)	)	PUNCT
ejpam-2769	40	30	,	,	PUNCT
ejpam-2769	40	31	(	(	PUNCT
ejpam-2769	40	32	2	2	X
ejpam-2769	40	33	)	)	PUNCT
ejpam-2769	40	34	is	be	AUX
ejpam-2769	40	35	∆(λ	∆(λ	PROPN
ejpam-2769	40	36	)	)	PUNCT
ejpam-2769	40	37	:	:	PUNCT
ejpam-2769	41	1	=	=	X
ejpam-2769	41	2	<	<	X
ejpam-2769	41	3	ϕ(x	ϕ(x	PROPN
ejpam-2769	41	4	,	,	PUNCT
ejpam-2769	41	5	λ	λ	NOUN
ejpam-2769	41	6	)	)	PUNCT
ejpam-2769	41	7	,	,	PUNCT
ejpam-2769	41	8	ψ(x	ψ(x	NOUN
ejpam-2769	41	9	,	,	PUNCT
ejpam-2769	41	10	λ	λ	PROPN
ejpam-2769	41	11	)	)	PUNCT
ejpam-2769	41	12	>	>	PUNCT
ejpam-2769	41	13	=	=	SYM
ejpam-2769	41	14	ϕ(x	ϕ(x	PROPN
ejpam-2769	41	15	,	,	PUNCT
ejpam-2769	41	16	λ)ψ′(x	λ)ψ′(x	PROPN
ejpam-2769	41	17	,	,	PUNCT
ejpam-2769	41	18	λ)−	λ)−	PROPN
ejpam-2769	41	19	ϕ′(x	ϕ′(x	PROPN
ejpam-2769	41	20	,	,	PUNCT
ejpam-2769	41	21	λ)ψ(x	λ)ψ(x	NOUN
ejpam-2769	41	22	,	,	PUNCT
ejpam-2769	41	23	λ	λ	NOUN
ejpam-2769	41	24	)	)	PUNCT
ejpam-2769	41	25	where	where	SCONJ
ejpam-2769	41	26	∆(λ	∆(λ	NOUN
ejpam-2769	41	27	)	)	PUNCT
ejpam-2769	41	28	is	be	AUX
ejpam-2769	41	29	independent	independent	ADJ
ejpam-2769	41	30	from	from	ADP
ejpam-2769	41	31	x	x	PROPN
ejpam-2769	41	32	∈	∈	PROPN
ejpam-2769	42	1	[	[	X
ejpam-2769	42	2	0	0	NUM
ejpam-2769	42	3	,	,	PUNCT
ejpam-2769	42	4	π	π	NOUN
ejpam-2769	42	5	]	]	X
ejpam-2769	42	6	.	.	PUNCT
ejpam-2769	43	1	substituting	substitute	VERB
ejpam-2769	43	2	x	x	PUNCT
ejpam-2769	43	3	=	=	SYM
ejpam-2769	43	4	0	0	NUM
ejpam-2769	43	5	and	and	CCONJ
ejpam-2769	43	6	x	x	SYM
ejpam-2769	43	7	=	=	SYM
ejpam-2769	43	8	π	π	NOUN
ejpam-2769	43	9	into	into	ADP
ejpam-2769	43	10	above	above	ADP
ejpam-2769	43	11	the	the	DET
ejpam-2769	43	12	equation	equation	NOUN
ejpam-2769	43	13	,	,	PUNCT
ejpam-2769	43	14	we	we	PRON
ejpam-2769	43	15	get	get	VERB
ejpam-2769	43	16	∆(λ	∆(λ	NOUN
ejpam-2769	43	17	)	)	PUNCT
ejpam-2769	43	18	=	=	SYM
ejpam-2769	43	19	ϕ(π	ϕ(π	NOUN
ejpam-2769	43	20	,	,	PUNCT
ejpam-2769	43	21	λ	λ	NOUN
ejpam-2769	43	22	)	)	PUNCT
ejpam-2769	43	23	=	=	PUNCT
ejpam-2769	43	24	ψ′(0	ψ′(0	NOUN
ejpam-2769	43	25	,	,	PUNCT
ejpam-2769	43	26	λ	λ	NOUN
ejpam-2769	43	27	)	)	PUNCT
ejpam-2769	43	28	.	.	PUNCT
ejpam-2769	44	1	theorem	theorem	NOUN
ejpam-2769	44	2	1	1	NUM
ejpam-2769	44	3	.	.	X
ejpam-2769	45	1	for	for	ADP
ejpam-2769	45	2	each	each	DET
ejpam-2769	45	3	fixed	fix	VERB
ejpam-2769	45	4	x	x	SYM
ejpam-2769	45	5	∈	∈	PROPN
ejpam-2769	46	1	[	[	X
ejpam-2769	46	2	0	0	NUM
ejpam-2769	46	3	,	,	PUNCT
ejpam-2769	46	4	π	π	PROPN
ejpam-2769	46	5	]	]	X
ejpam-2769	46	6	the	the	DET
ejpam-2769	46	7	kernel	kernel	PROPN
ejpam-2769	46	8	a(x	a(x	PROPN
ejpam-2769	46	9	,	,	PUNCT
ejpam-2769	46	10	t	t	PROPN
ejpam-2769	46	11	)	)	PUNCT
ejpam-2769	46	12	from	from	ADP
ejpam-2769	46	13	the	the	DET
ejpam-2769	46	14	representation	representation	NOUN
ejpam-2769	46	15	(	(	PUNCT
ejpam-2769	46	16	5)satisfies	5)satisfies	NUM
ejpam-2769	46	17	the	the	DET
ejpam-2769	46	18	following	follow	VERB
ejpam-2769	46	19	linear	linear	ADJ
ejpam-2769	46	20	functional	functional	ADJ
ejpam-2769	46	21	integral	integral	ADJ
ejpam-2769	46	22	equation	equation	NOUN
ejpam-2769	46	23	2	2	NUM
ejpam-2769	46	24	1	1	NUM
ejpam-2769	46	25	+	+	CCONJ
ejpam-2769	46	26	√	√	NUM
ejpam-2769	46	27	ρ(t	ρ(t	NUM
ejpam-2769	46	28	)	)	PUNCT
ejpam-2769	46	29	a	a	DET
ejpam-2769	46	30	(	(	PUNCT
ejpam-2769	46	31	x	x	NOUN
ejpam-2769	46	32	,	,	PUNCT
ejpam-2769	46	33	µ+(t	µ+(t	NUM
ejpam-2769	46	34	)	)	PUNCT
ejpam-2769	46	35	)	)	PUNCT
ejpam-2769	47	1	+	+	CCONJ
ejpam-2769	47	2	1−	1−	NUM
ejpam-2769	47	3	√	√	NUM
ejpam-2769	47	4	ρ(2a−	ρ(2a−	PROPN
ejpam-2769	47	5	t	t	PROPN
ejpam-2769	47	6	)	)	PUNCT
ejpam-2769	47	7	1	1	NUM
ejpam-2769	48	1	+	+	CCONJ
ejpam-2769	48	2	√	√	PROPN
ejpam-2769	48	3	ρ(2a−	ρ(2a−	NUM
ejpam-2769	48	4	t	t	PROPN
ejpam-2769	48	5	)	)	PUNCT
ejpam-2769	48	6	a	a	DET
ejpam-2769	48	7	(	(	PUNCT
ejpam-2769	48	8	x	x	NOUN
ejpam-2769	48	9	,	,	PUNCT
ejpam-2769	48	10	2a−	2a−	PROPN
ejpam-2769	48	11	t	t	PROPN
ejpam-2769	48	12	)	)	PUNCT
ejpam-2769	48	13	+	+	PUNCT
ejpam-2769	49	1	+	+	PUNCT
ejpam-2769	49	2	f	f	X
ejpam-2769	49	3	(	(	PUNCT
ejpam-2769	49	4	x	x	PROPN
ejpam-2769	49	5	,	,	PUNCT
ejpam-2769	49	6	t	t	PROPN
ejpam-2769	49	7	)	)	PUNCT
ejpam-2769	49	8	+	+	CCONJ
ejpam-2769	49	9	∫	∫	PROPN
ejpam-2769	49	10	µ+(x	µ+(x	NUM
ejpam-2769	49	11	)	)	PUNCT
ejpam-2769	49	12	0	0	PUNCT
ejpam-2769	50	1	a(x	a(x	NOUN
ejpam-2769	50	2	,	,	PUNCT
ejpam-2769	50	3	ξ)f0(ξ	ξ)f0(ξ	NOUN
ejpam-2769	50	4	,	,	PUNCT
ejpam-2769	50	5	t)dξ	t)dξ	PROPN
ejpam-2769	50	6	=	=	SYM
ejpam-2769	50	7	0	0	NUM
ejpam-2769	50	8	,	,	PUNCT
ejpam-2769	50	9	0	0	NUM
ejpam-2769	50	10	<	<	X
ejpam-2769	50	11	t	t	X
ejpam-2769	50	12	<	<	X
ejpam-2769	50	13	x	x	X
ejpam-2769	50	14	(	(	PUNCT
ejpam-2769	50	15	9	9	NUM
ejpam-2769	50	16	)	)	PUNCT
ejpam-2769	50	17	where	where	SCONJ
ejpam-2769	50	18	f0(x	f0(x	NOUN
ejpam-2769	50	19	,	,	PUNCT
ejpam-2769	50	20	t	t	PROPN
ejpam-2769	50	21	)	)	PUNCT
ejpam-2769	50	22	=	=	PUNCT
ejpam-2769	51	1	∞∑	∞∑	NUM
ejpam-2769	51	2	n=1	n=1	PROPN
ejpam-2769	51	3	(	(	PUNCT
ejpam-2769	51	4	ϕ0(t	ϕ0(t	PROPN
ejpam-2769	51	5	,	,	PUNCT
ejpam-2769	51	6	λn	λn	NOUN
ejpam-2769	51	7	)	)	PUNCT
ejpam-2769	51	8	cosλnx	cosλnx	VERB
ejpam-2769	51	9	αn	αn	NOUN
ejpam-2769	51	10	−	−	PROPN
ejpam-2769	52	1	ϕ0(t	ϕ0(t	INTJ
ejpam-2769	52	2	,	,	PUNCT
ejpam-2769	52	3	λ	λ	PROPN
ejpam-2769	52	4	0	0	NUM
ejpam-2769	52	5	n	n	CCONJ
ejpam-2769	52	6	)	)	PUNCT
ejpam-2769	52	7	cosλ0nx	cosλ0nx	NOUN
ejpam-2769	52	8	α0	α0	ADJ
ejpam-2769	52	9	n	n	CCONJ
ejpam-2769	52	10	)	)	PUNCT
ejpam-2769	52	11	(	(	PUNCT
ejpam-2769	52	12	10	10	NUM
ejpam-2769	52	13	)	)	PUNCT
ejpam-2769	52	14	f	f	NOUN
ejpam-2769	52	15	(	(	PUNCT
ejpam-2769	52	16	x	x	PROPN
ejpam-2769	52	17	,	,	PUNCT
ejpam-2769	52	18	t	t	PROPN
ejpam-2769	52	19	)	)	PUNCT
ejpam-2769	52	20	=	=	SYM
ejpam-2769	52	21	1	1	NUM
ejpam-2769	52	22	2	2	NUM
ejpam-2769	52	23	(	(	PUNCT
ejpam-2769	52	24	1	1	NUM
ejpam-2769	52	25	+	+	CCONJ
ejpam-2769	52	26	1√	1√	PROPN
ejpam-2769	52	27	ρ(x	ρ(x	NOUN
ejpam-2769	52	28	)	)	PUNCT
ejpam-2769	52	29	)	)	PUNCT
ejpam-2769	52	30	f0(µ	f0(µ	PROPN
ejpam-2769	53	1	+	+	PROPN
ejpam-2769	53	2	(	(	PUNCT
ejpam-2769	53	3	x	x	NOUN
ejpam-2769	53	4	)	)	PUNCT
ejpam-2769	53	5	,	,	PUNCT
ejpam-2769	53	6	t	t	PROPN
ejpam-2769	53	7	)	)	PUNCT
ejpam-2769	53	8	+	+	CCONJ
ejpam-2769	53	9	1	1	NUM
ejpam-2769	53	10	2	2	NUM
ejpam-2769	53	11	(	(	PUNCT
ejpam-2769	53	12	1−	1−	NUM
ejpam-2769	53	13	1√	1√	PROPN
ejpam-2769	53	14	ρ(x	ρ(x	PROPN
ejpam-2769	53	15	)	)	PUNCT
ejpam-2769	53	16	)	)	PUNCT
ejpam-2769	53	17	f0(µ	f0(µ	PROPN
ejpam-2769	53	18	−(x	−(x	PROPN
ejpam-2769	53	19	)	)	PUNCT
ejpam-2769	53	20	,	,	PUNCT
ejpam-2769	53	21	t	t	PROPN
ejpam-2769	53	22	)	)	PUNCT
ejpam-2769	53	23	(	(	PUNCT
ejpam-2769	53	24	11	11	NUM
ejpam-2769	53	25	)	)	PUNCT
ejpam-2769	53	26	{	{	PUNCT
ejpam-2769	53	27	λ0n	λ0n	NOUN
ejpam-2769	53	28	}	}	SYM
ejpam-2769	53	29	2	2	NUM
ejpam-2769	53	30	are	be	AUX
ejpam-2769	53	31	eigenvalues	eigenvalue	NOUN
ejpam-2769	53	32	and	and	CCONJ
ejpam-2769	53	33	α0	α0	ADJ
ejpam-2769	53	34	n	n	NOUN
ejpam-2769	53	35	are	be	AUX
ejpam-2769	53	36	norming	norme	VERB
ejpam-2769	53	37	constants	constant	NOUN
ejpam-2769	53	38	of	of	ADP
ejpam-2769	53	39	the	the	DET
ejpam-2769	53	40	boundary	boundary	ADJ
ejpam-2769	53	41	value	value	NOUN
ejpam-2769	53	42	problem	problem	NOUN
ejpam-2769	53	43	(	(	PUNCT
ejpam-2769	53	44	1	1	NUM
ejpam-2769	53	45	)	)	PUNCT
ejpam-2769	53	46	,	,	PUNCT
ejpam-2769	53	47	(	(	PUNCT
ejpam-2769	53	48	2	2	X
ejpam-2769	53	49	)	)	PUNCT
ejpam-2769	53	50	when	when	SCONJ
ejpam-2769	53	51	q(x	q(x	NOUN
ejpam-2769	53	52	)	)	PUNCT
ejpam-2769	53	53	≡	≡	PROPN
ejpam-2769	53	54	0	0	NUM
ejpam-2769	53	55	.	.	PUNCT
ejpam-2769	54	1	theorem	theorem	NOUN
ejpam-2769	54	2	2	2	NUM
ejpam-2769	54	3	.	.	X
ejpam-2769	55	1	for	for	ADP
ejpam-2769	55	2	each	each	DET
ejpam-2769	55	3	fixed	fix	VERB
ejpam-2769	55	4	x	x	SYM
ejpam-2769	55	5	∈	∈	PROPN
ejpam-2769	55	6	[	[	X
ejpam-2769	55	7	0	0	NUM
ejpam-2769	55	8	,	,	PUNCT
ejpam-2769	55	9	π	π	NOUN
ejpam-2769	55	10	]	]	X
ejpam-2769	55	11	main	main	ADJ
ejpam-2769	55	12	equation	equation	NOUN
ejpam-2769	55	13	(	(	PUNCT
ejpam-2769	55	14	9	9	NUM
ejpam-2769	55	15	)	)	PUNCT
ejpam-2769	55	16	has	have	VERB
ejpam-2769	55	17	a	a	DET
ejpam-2769	55	18	unique	unique	ADJ
ejpam-2769	55	19	solution	solution	NOUN
ejpam-2769	55	20	a(x	a(x	NOUN
ejpam-2769	55	21	,	,	PUNCT
ejpam-2769	55	22	.	.	PUNCT
ejpam-2769	55	23	)	)	PUNCT
ejpam-2769	56	1	∈	∈	PROPN
ejpam-2769	56	2	l2,ρ	l2,ρ	PROPN
ejpam-2769	56	3	(	(	PUNCT
ejpam-2769	56	4	0	0	NUM
ejpam-2769	56	5	,	,	PUNCT
ejpam-2769	56	6	µ+(x	µ+(x	PROPN
ejpam-2769	56	7	)	)	PUNCT
ejpam-2769	56	8	)	)	PUNCT
ejpam-2769	56	9	.	.	PUNCT
ejpam-2769	57	1	the	the	DET
ejpam-2769	57	2	proof	proof	NOUN
ejpam-2769	57	3	of	of	ADP
ejpam-2769	57	4	theorem	theorem	ADJ
ejpam-2769	57	5	1	1	NUM
ejpam-2769	57	6	and	and	CCONJ
ejpam-2769	57	7	theorem	theorem	VERB
ejpam-2769	57	8	2	2	NUM
ejpam-2769	57	9	is	be	AUX
ejpam-2769	57	10	given	give	VERB
ejpam-2769	57	11	in	in	ADP
ejpam-2769	57	12	[	[	X
ejpam-2769	57	13	21	21	NUM
ejpam-2769	57	14	]	]	PUNCT
ejpam-2769	57	15	.	.	PUNCT
ejpam-2769	58	1	2	2	X
ejpam-2769	58	2	.	.	X
ejpam-2769	58	3	sufficient	sufficient	ADJ
ejpam-2769	58	4	conditions	condition	NOUN
ejpam-2769	58	5	for	for	ADP
ejpam-2769	58	6	solvability	solvability	NOUN
ejpam-2769	58	7	of	of	ADP
ejpam-2769	58	8	the	the	DET
ejpam-2769	58	9	inverse	inverse	NOUN
ejpam-2769	58	10	problem	problem	NOUN
ejpam-2769	58	11	assume	assume	VERB
ejpam-2769	58	12	that	that	SCONJ
ejpam-2769	58	13	the	the	DET
ejpam-2769	58	14	real	real	ADJ
ejpam-2769	58	15	numbers	number	NOUN
ejpam-2769	58	16	{	{	PUNCT
ejpam-2769	58	17	λ2n	λ2n	NOUN
ejpam-2769	58	18	,	,	PUNCT
ejpam-2769	58	19	αn	αn	NOUN
ejpam-2769	58	20	}	}	PUNCT
ejpam-2769	58	21	n≥1	n≥1	NOUN
ejpam-2769	58	22	is	be	AUX
ejpam-2769	58	23	given	give	VERB
ejpam-2769	58	24	by	by	ADP
ejpam-2769	58	25	the	the	DET
ejpam-2769	58	26	formula	formula	NOUN
ejpam-2769	58	27	(	(	PUNCT
ejpam-2769	58	28	4	4	NUM
ejpam-2769	58	29	)	)	PUNCT
ejpam-2769	58	30	.	.	PUNCT
ejpam-2769	59	1	now	now	ADV
ejpam-2769	59	2	,	,	PUNCT
ejpam-2769	59	3	let	let	VERB
ejpam-2769	59	4	’s	’s	PRON
ejpam-2769	59	5	construct	construct	VERB
ejpam-2769	59	6	f0(x	f0(x	PROPN
ejpam-2769	59	7	,	,	PUNCT
ejpam-2769	59	8	t	t	PROPN
ejpam-2769	59	9	)	)	PUNCT
ejpam-2769	59	10	and	and	CCONJ
ejpam-2769	59	11	f	f	PROPN
ejpam-2769	59	12	(	(	PUNCT
ejpam-2769	59	13	x	x	PROPN
ejpam-2769	59	14	,	,	PUNCT
ejpam-2769	59	15	t	t	PROPN
ejpam-2769	59	16	)	)	PUNCT
ejpam-2769	59	17	functions	function	NOUN
ejpam-2769	59	18	by	by	ADP
ejpam-2769	59	19	using	use	VERB
ejpam-2769	59	20	the	the	DET
ejpam-2769	59	21	formulas	formula	NOUN
ejpam-2769	59	22	(	(	PUNCT
ejpam-2769	59	23	10	10	NUM
ejpam-2769	59	24	)	)	PUNCT
ejpam-2769	59	25	,	,	PUNCT
ejpam-2769	59	26	(	(	PUNCT
ejpam-2769	59	27	11	11	NUM
ejpam-2769	59	28	)	)	PUNCT
ejpam-2769	59	29	and	and	CCONJ
ejpam-2769	59	30	write	write	VERB
ejpam-2769	59	31	the	the	DET
ejpam-2769	59	32	integral	integral	ADJ
ejpam-2769	59	33	equation	equation	NOUN
ejpam-2769	59	34	(	(	PUNCT
ejpam-2769	59	35	9	9	NUM
ejpam-2769	59	36	)	)	PUNCT
ejpam-2769	59	37	.	.	PUNCT
ejpam-2769	60	1	we	we	PRON
ejpam-2769	60	2	determine	determine	VERB
ejpam-2769	60	3	a(x	a(x	NOUN
ejpam-2769	60	4	,	,	PUNCT
ejpam-2769	60	5	t	t	PROPN
ejpam-2769	60	6	)	)	PUNCT
ejpam-2769	60	7	from	from	ADP
ejpam-2769	60	8	the	the	DET
ejpam-2769	60	9	main	main	ADJ
ejpam-2769	60	10	equation	equation	NOUN
ejpam-2769	60	11	(	(	PUNCT
ejpam-2769	60	12	9	9	NUM
ejpam-2769	60	13	)	)	PUNCT
ejpam-2769	60	14	.	.	PUNCT
ejpam-2769	61	1	we	we	PRON
ejpam-2769	61	2	shall	shall	AUX
ejpam-2769	61	3	construct	construct	VERB
ejpam-2769	61	4	the	the	DET
ejpam-2769	61	5	function	function	NOUN
ejpam-2769	61	6	ϕ(x	ϕ(x	NOUN
ejpam-2769	61	7	,	,	PUNCT
ejpam-2769	61	8	λ	λ	NOUN
ejpam-2769	61	9	)	)	PUNCT
ejpam-2769	61	10	with	with	ADP
ejpam-2769	61	11	the	the	DET
ejpam-2769	61	12	formula	formula	NOUN
ejpam-2769	61	13	(	(	PUNCT
ejpam-2769	61	14	5	5	NUM
ejpam-2769	61	15	)	)	PUNCT
ejpam-2769	61	16	i.e.	i.e.	X
ejpam-2769	61	17	ϕ(x	ϕ(x	PROPN
ejpam-2769	61	18	,	,	PUNCT
ejpam-2769	61	19	λ	λ	NOUN
ejpam-2769	61	20	)	)	PUNCT
ejpam-2769	61	21	:	:	PUNCT
ejpam-2769	62	1	=	=	SYM
ejpam-2769	62	2	ϕ0(x	ϕ0(x	NUM
ejpam-2769	62	3	,	,	PUNCT
ejpam-2769	62	4	λ	λ	NOUN
ejpam-2769	62	5	)	)	PUNCT
ejpam-2769	62	6	+	+	NUM
ejpam-2769	62	7	∫	∫	PROPN
ejpam-2769	62	8	µ+(x	µ+(x	NUM
ejpam-2769	62	9	)	)	PUNCT
ejpam-2769	62	10	0	0	PUNCT
ejpam-2769	63	1	a(x	a(x	PROPN
ejpam-2769	63	2	,	,	PUNCT
ejpam-2769	63	3	t	t	PROPN
ejpam-2769	63	4	)	)	PUNCT
ejpam-2769	63	5	cosλtdt	cosλtdt	NOUN
ejpam-2769	63	6	,	,	PUNCT
ejpam-2769	63	7	and	and	CCONJ
ejpam-2769	63	8	the	the	DET
ejpam-2769	63	9	function	function	NOUN
ejpam-2769	63	10	q(x	q(x	PROPN
ejpam-2769	63	11	)	)	PUNCT
ejpam-2769	63	12	with	with	ADP
ejpam-2769	63	13	formula	formula	NOUN
ejpam-2769	63	14	q(x	q(x	NOUN
ejpam-2769	63	15	)	)	PUNCT
ejpam-2769	63	16	:	:	PUNCT
ejpam-2769	64	1	=	=	SYM
ejpam-2769	64	2	4ρ(x)√	4ρ(x)√	NUM
ejpam-2769	64	3	ρ(x	ρ(x	NUM
ejpam-2769	64	4	)	)	PUNCT
ejpam-2769	64	5	+	+	CCONJ
ejpam-2769	64	6	1	1	NUM
ejpam-2769	64	7	d	d	NOUN
ejpam-2769	64	8	dx	dx	PROPN
ejpam-2769	64	9	a	a	DET
ejpam-2769	64	10	(	(	PUNCT
ejpam-2769	64	11	x	x	NOUN
ejpam-2769	64	12	,	,	PUNCT
ejpam-2769	64	13	µ+(x	µ+(x	PROPN
ejpam-2769	64	14	)	)	PUNCT
ejpam-2769	64	15	)	)	PUNCT
ejpam-2769	64	16	.	.	PUNCT
ejpam-2769	65	1	(	(	PUNCT
ejpam-2769	65	2	12	12	NUM
ejpam-2769	65	3	)	)	PUNCT
ejpam-2769	65	4	d.	d.	PROPN
ejpam-2769	65	5	karahan	karahan	PROPN
ejpam-2769	65	6	,	,	PUNCT
ejpam-2769	65	7	kh	kh	PROPN
ejpam-2769	65	8	.	.	PUNCT
ejpam-2769	65	9	r.	r.	PROPN
ejpam-2769	65	10	mamedov	mamedov	PROPN
ejpam-2769	65	11	/	/	SYM
ejpam-2769	65	12	eur	eur	PROPN
ejpam-2769	65	13	.	.	PUNCT
ejpam-2769	66	1	j.	j.	PROPN
ejpam-2769	66	2	pure	pure	PROPN
ejpam-2769	66	3	appl	appl	PROPN
ejpam-2769	66	4	.	.	PROPN
ejpam-2769	66	5	math	math	PROPN
ejpam-2769	66	6	,	,	PUNCT
ejpam-2769	66	7	10	10	NUM
ejpam-2769	66	8	(	(	PUNCT
ejpam-2769	66	9	3	3	NUM
ejpam-2769	66	10	)	)	PUNCT
ejpam-2769	66	11	(	(	PUNCT
ejpam-2769	66	12	2017	2017	NUM
ejpam-2769	66	13	)	)	PUNCT
ejpam-2769	66	14	,	,	PUNCT
ejpam-2769	66	15	535	535	NUM
ejpam-2769	66	16	-	-	SYM
ejpam-2769	66	17	543	543	NUM
ejpam-2769	66	18	538	538	NUM
ejpam-2769	66	19	denote	denote	NOUN
ejpam-2769	66	20	b(x	b(x	NOUN
ejpam-2769	66	21	)	)	PUNCT
ejpam-2769	66	22	:	:	PUNCT
ejpam-2769	67	1	=	=	NOUN
ejpam-2769	67	2	∞∑	∞∑	NUM
ejpam-2769	67	3	n=1	n=1	NUM
ejpam-2769	67	4	(	(	PUNCT
ejpam-2769	67	5	cosλnx	cosλnx	VERB
ejpam-2769	67	6	αnλ2n	αnλ2n	NOUN
ejpam-2769	67	7	−	−	NOUN
ejpam-2769	67	8	cosλ0nx	cosλ0nx	VERB
ejpam-2769	67	9	α0	α0	ADJ
ejpam-2769	67	10	nλ	nλ	NOUN
ejpam-2769	67	11	0	0	NUM
ejpam-2769	67	12	n	n	PRON
ejpam-2769	67	13	2	2	NUM
ejpam-2769	67	14	)	)	PUNCT
ejpam-2769	67	15	.	.	PUNCT
ejpam-2769	68	1	similar	similar	ADJ
ejpam-2769	68	2	to	to	ADP
ejpam-2769	68	3	lemma	lemma	PROPN
ejpam-2769	68	4	1.3.4	1.3.4	NUM
ejpam-2769	68	5	in	in	ADP
ejpam-2769	68	6	[	[	X
ejpam-2769	68	7	15	15	NUM
ejpam-2769	68	8	]	]	PUNCT
ejpam-2769	68	9	,	,	PUNCT
ejpam-2769	68	10	it	it	PRON
ejpam-2769	68	11	is	be	AUX
ejpam-2769	68	12	shown	show	VERB
ejpam-2769	68	13	that	that	SCONJ
ejpam-2769	68	14	b(x	b(x	NOUN
ejpam-2769	68	15	)	)	PUNCT
ejpam-2769	68	16	∈	∈	PROPN
ejpam-2769	68	17	w	w	NOUN
ejpam-2769	68	18	1	1	NUM
ejpam-2769	68	19	2	2	NUM
ejpam-2769	68	20	(	(	PUNCT
ejpam-2769	68	21	0	0	NUM
ejpam-2769	68	22	,	,	PUNCT
ejpam-2769	68	23	π	π	NOUN
ejpam-2769	68	24	)	)	PUNCT
ejpam-2769	68	25	.	.	PUNCT
ejpam-2769	69	1	according	accord	VERB
ejpam-2769	69	2	to	to	ADP
ejpam-2769	69	3	(	(	PUNCT
ejpam-2769	69	4	4	4	NUM
ejpam-2769	69	5	)	)	PUNCT
ejpam-2769	69	6	and	and	CCONJ
ejpam-2769	69	7	(	(	PUNCT
ejpam-2769	69	8	5	5	X
ejpam-2769	69	9	)	)	PUNCT
ejpam-2769	69	10	we	we	PRON
ejpam-2769	69	11	have	have	VERB
ejpam-2769	69	12	f0tt(x	f0tt(x	PROPN
ejpam-2769	69	13	,	,	PUNCT
ejpam-2769	69	14	t	t	PROPN
ejpam-2769	69	15	)	)	PUNCT
ejpam-2769	69	16	=	=	SYM
ejpam-2769	70	1	ρ(t)f0xx(x	ρ(t)f0xx(x	PROPN
ejpam-2769	70	2	,	,	PUNCT
ejpam-2769	70	3	t	t	PROPN
ejpam-2769	70	4	)	)	PUNCT
ejpam-2769	70	5	,	,	PUNCT
ejpam-2769	70	6	ρ(t)fxx(x	ρ(t)fxx(x	PROPN
ejpam-2769	70	7	,	,	PUNCT
ejpam-2769	70	8	t	t	PROPN
ejpam-2769	70	9	)	)	PUNCT
ejpam-2769	70	10	=	=	SYM
ejpam-2769	71	1	ρ(x)ftt(x	ρ(x)ftt(x	PROPN
ejpam-2769	71	2	,	,	PUNCT
ejpam-2769	71	3	t	t	PROPN
ejpam-2769	71	4	)	)	PUNCT
ejpam-2769	71	5	,	,	PUNCT
ejpam-2769	71	6	(	(	PUNCT
ejpam-2769	71	7	13	13	X
ejpam-2769	71	8	)	)	PUNCT
ejpam-2769	71	9	f0(x	f0(x	NOUN
ejpam-2769	71	10	,	,	PUNCT
ejpam-2769	71	11	t)|x=0	t)|x=0	PROPN
ejpam-2769	71	12	=	=	SYM
ejpam-2769	71	13	0	0	NUM
ejpam-2769	71	14	,	,	PUNCT
ejpam-2769	71	15	f0(x	f0(x	NOUN
ejpam-2769	71	16	,	,	PUNCT
ejpam-2769	71	17	t)|t=0	t)|t=0	NOUN
ejpam-2769	71	18	=	=	SYM
ejpam-2769	71	19	0	0	NUM
ejpam-2769	71	20	,	,	PUNCT
ejpam-2769	71	21	(	(	PUNCT
ejpam-2769	71	22	14	14	NUM
ejpam-2769	71	23	)	)	PUNCT
ejpam-2769	71	24	∂	∂	NOUN
ejpam-2769	72	1	∂x	∂x	PROPN
ejpam-2769	72	2	f0(µ	f0(µ	PROPN
ejpam-2769	72	3	±(x	±(x	PROPN
ejpam-2769	72	4	)	)	PUNCT
ejpam-2769	72	5	,	,	PUNCT
ejpam-2769	72	6	t	t	PROPN
ejpam-2769	72	7	)	)	PUNCT
ejpam-2769	72	8	=	=	SYM
ejpam-2769	72	9	±	±	NUM
ejpam-2769	72	10	√	√	NUM
ejpam-2769	72	11	ρ	ρ	PROPN
ejpam-2769	72	12	(	(	PUNCT
ejpam-2769	72	13	x	x	NOUN
ejpam-2769	72	14	)	)	PUNCT
ejpam-2769	72	15	∂	∂	NUM
ejpam-2769	73	1	∂ξ	∂ξ	NUM
ejpam-2769	73	2	f0	f0	PROPN
ejpam-2769	73	3	(	(	PUNCT
ejpam-2769	73	4	ξ	ξ	PROPN
ejpam-2769	73	5	,	,	PUNCT
ejpam-2769	73	6	t)|ξ=µ±(x	t)|ξ=µ±(x	NUM
ejpam-2769	73	7	)	)	PUNCT
ejpam-2769	73	8	.	.	PUNCT
ejpam-2769	74	1	(	(	PUNCT
ejpam-2769	74	2	15	15	X
ejpam-2769	74	3	)	)	PUNCT
ejpam-2769	74	4	using	use	VERB
ejpam-2769	74	5	the	the	DET
ejpam-2769	74	6	main	main	ADJ
ejpam-2769	74	7	equation	equation	NOUN
ejpam-2769	74	8	(	(	PUNCT
ejpam-2769	74	9	9	9	X
ejpam-2769	74	10	)	)	PUNCT
ejpam-2769	74	11	it	it	PRON
ejpam-2769	74	12	can	can	AUX
ejpam-2769	74	13	be	be	AUX
ejpam-2769	74	14	proved	prove	VERB
ejpam-2769	74	15	that	that	SCONJ
ejpam-2769	74	16	a(x	a(x	NOUN
ejpam-2769	74	17	,	,	PUNCT
ejpam-2769	74	18	0	0	NUM
ejpam-2769	74	19	)	)	PUNCT
ejpam-2769	74	20	=	=	SYM
ejpam-2769	74	21	0	0	NUM
ejpam-2769	74	22	,	,	PUNCT
ejpam-2769	74	23	(	(	PUNCT
ejpam-2769	74	24	16)√	16)√	NUM
ejpam-2769	74	25	ρ(x)−	ρ(x)−	PROPN
ejpam-2769	74	26	1√	1√	PROPN
ejpam-2769	74	27	ρ(x	ρ(x	PROPN
ejpam-2769	74	28	)	)	PUNCT
ejpam-2769	75	1	+	+	CCONJ
ejpam-2769	75	2	1	1	NUM
ejpam-2769	75	3	d	d	PROPN
ejpam-2769	75	4	dx	dx	PROPN
ejpam-2769	75	5	a(x	a(x	PROPN
ejpam-2769	75	6	,	,	PUNCT
ejpam-2769	75	7	µ+(x	µ+(x	NUM
ejpam-2769	75	8	)	)	PUNCT
ejpam-2769	75	9	)	)	PUNCT
ejpam-2769	76	1	=	=	PUNCT
ejpam-2769	76	2	d	d	X
ejpam-2769	76	3	dx	dx	PROPN
ejpam-2769	76	4	{	{	PUNCT
ejpam-2769	76	5	a(x	a(x	PROPN
ejpam-2769	76	6	,	,	PUNCT
ejpam-2769	76	7	µ−(x	µ−(x	PUNCT
ejpam-2769	76	8	)	)	PUNCT
ejpam-2769	76	9	+	+	CCONJ
ejpam-2769	76	10	0)−a(x	0)−a(x	NUM
ejpam-2769	76	11	,	,	PUNCT
ejpam-2769	76	12	µ−(x)−	µ−(x)−	NOUN
ejpam-2769	76	13	0	0	NUM
ejpam-2769	76	14	}	}	PUNCT
ejpam-2769	76	15	.	.	PUNCT
ejpam-2769	77	1	(	(	PUNCT
ejpam-2769	77	2	17	17	NUM
ejpam-2769	77	3	)	)	PUNCT
ejpam-2769	77	4	2.1	2.1	NUM
ejpam-2769	77	5	.	.	PUNCT
ejpam-2769	78	1	derivation	derivation	NOUN
ejpam-2769	78	2	of	of	ADP
ejpam-2769	78	3	the	the	DET
ejpam-2769	78	4	differential	differential	ADJ
ejpam-2769	78	5	equation	equation	NOUN
ejpam-2769	78	6	lemma	lemma	PROPN
ejpam-2769	78	7	1	1	X
ejpam-2769	78	8	.	.	PUNCT
ejpam-2769	79	1	the	the	DET
ejpam-2769	79	2	following	follow	VERB
ejpam-2769	79	3	relations	relation	NOUN
ejpam-2769	79	4	hold	hold	VERB
ejpam-2769	79	5	−ϕ′′(x	−ϕ′′(x	NOUN
ejpam-2769	79	6	,	,	PUNCT
ejpam-2769	79	7	λ	λ	NOUN
ejpam-2769	79	8	)	)	PUNCT
ejpam-2769	80	1	+	+	X
ejpam-2769	81	1	q(x)ϕ(x	q(x)ϕ(x	NUM
ejpam-2769	81	2	,	,	PUNCT
ejpam-2769	81	3	λ	λ	NOUN
ejpam-2769	81	4	)	)	PUNCT
ejpam-2769	81	5	=	=	SYM
ejpam-2769	81	6	λ2ρ(x)ϕ(x	λ2ρ(x)ϕ(x	NUM
ejpam-2769	81	7	,	,	PUNCT
ejpam-2769	81	8	λ	λ	PROPN
ejpam-2769	81	9	)	)	PUNCT
ejpam-2769	81	10	,	,	PUNCT
ejpam-2769	81	11	(	(	PUNCT
ejpam-2769	81	12	18	18	X
ejpam-2769	81	13	)	)	PUNCT
ejpam-2769	81	14	ϕ(0	ϕ(0	PROPN
ejpam-2769	81	15	,	,	PUNCT
ejpam-2769	81	16	λ	λ	NOUN
ejpam-2769	81	17	)	)	PUNCT
ejpam-2769	81	18	=	=	SYM
ejpam-2769	81	19	1	1	NUM
ejpam-2769	81	20	,	,	PUNCT
ejpam-2769	81	21	ϕ′(0	ϕ′(0	NOUN
ejpam-2769	81	22	,	,	PUNCT
ejpam-2769	81	23	λ	λ	NOUN
ejpam-2769	81	24	)	)	PUNCT
ejpam-2769	81	25	=	=	SYM
ejpam-2769	81	26	0	0	X
ejpam-2769	81	27	.	.	PUNCT
ejpam-2769	82	1	(	(	PUNCT
ejpam-2769	82	2	19	19	NUM
ejpam-2769	82	3	)	)	PUNCT
ejpam-2769	82	4	proof	proof	NOUN
ejpam-2769	82	5	.	.	PUNCT
ejpam-2769	83	1	assume	assume	VERB
ejpam-2769	83	2	that	that	SCONJ
ejpam-2769	83	3	b(x	b(x	NOUN
ejpam-2769	83	4	)	)	PUNCT
ejpam-2769	83	5	∈w	∈w	VERB
ejpam-2769	83	6	2	2	NUM
ejpam-2769	83	7	2	2	NUM
ejpam-2769	83	8	(	(	PUNCT
ejpam-2769	83	9	0	0	NUM
ejpam-2769	83	10	,	,	PUNCT
ejpam-2769	83	11	π	π	NOUN
ejpam-2769	83	12	)	)	PUNCT
ejpam-2769	83	13	and	and	CCONJ
ejpam-2769	83	14	j(x	j(x	PROPN
ejpam-2769	83	15	,	,	PUNCT
ejpam-2769	83	16	λ	λ	PROPN
ejpam-2769	83	17	)	)	PUNCT
ejpam-2769	83	18	:	:	PUNCT
ejpam-2769	84	1	=	=	SYM
ejpam-2769	84	2	2	2	NUM
ejpam-2769	84	3	1	1	NUM
ejpam-2769	84	4	+	+	CCONJ
ejpam-2769	84	5	√	√	NUM
ejpam-2769	84	6	ρ(t	ρ(t	NUM
ejpam-2769	84	7	)	)	PUNCT
ejpam-2769	84	8	a	a	DET
ejpam-2769	84	9	(	(	PUNCT
ejpam-2769	84	10	x	x	NOUN
ejpam-2769	84	11	,	,	PUNCT
ejpam-2769	84	12	µ+(t	µ+(t	NUM
ejpam-2769	84	13	)	)	PUNCT
ejpam-2769	84	14	)	)	PUNCT
ejpam-2769	85	1	+	+	CCONJ
ejpam-2769	85	2	1−	1−	NUM
ejpam-2769	85	3	√	√	NUM
ejpam-2769	85	4	ρ(2a−	ρ(2a−	PROPN
ejpam-2769	85	5	t	t	PROPN
ejpam-2769	85	6	)	)	PUNCT
ejpam-2769	85	7	1	1	NUM
ejpam-2769	86	1	+	+	CCONJ
ejpam-2769	86	2	√	√	PROPN
ejpam-2769	86	3	ρ(2a−	ρ(2a−	NUM
ejpam-2769	86	4	t	t	PROPN
ejpam-2769	86	5	)	)	PUNCT
ejpam-2769	86	6	a	a	DET
ejpam-2769	86	7	(	(	PUNCT
ejpam-2769	86	8	x	x	NOUN
ejpam-2769	86	9	,	,	PUNCT
ejpam-2769	86	10	2a−	2a−	PROPN
ejpam-2769	86	11	t	t	PROPN
ejpam-2769	86	12	)	)	PUNCT
ejpam-2769	86	13	+	+	PUNCT
ejpam-2769	87	1	+	+	PUNCT
ejpam-2769	87	2	f	f	X
ejpam-2769	87	3	(	(	PUNCT
ejpam-2769	87	4	x	x	PROPN
ejpam-2769	87	5	,	,	PUNCT
ejpam-2769	87	6	t	t	PROPN
ejpam-2769	87	7	)	)	PUNCT
ejpam-2769	87	8	+	+	CCONJ
ejpam-2769	87	9	∫	∫	PROPN
ejpam-2769	87	10	µ+(x	µ+(x	NUM
ejpam-2769	87	11	)	)	PUNCT
ejpam-2769	87	12	0	0	PUNCT
ejpam-2769	88	1	a(x	a(x	NOUN
ejpam-2769	88	2	,	,	PUNCT
ejpam-2769	88	3	ξ)f0(ξ	ξ)f0(ξ	NOUN
ejpam-2769	88	4	,	,	PUNCT
ejpam-2769	88	5	t)dξ	t)dξ	PROPN
ejpam-2769	88	6	=	=	SYM
ejpam-2769	88	7	0	0	NUM
ejpam-2769	88	8	,	,	PUNCT
ejpam-2769	88	9	(	(	PUNCT
ejpam-2769	88	10	20	20	X
ejpam-2769	88	11	)	)	PUNCT
ejpam-2769	88	12	differentiating	differentiate	VERB
ejpam-2769	88	13	(	(	PUNCT
ejpam-2769	88	14	20	20	NUM
ejpam-2769	88	15	)	)	PUNCT
ejpam-2769	88	16	twice	twice	ADV
ejpam-2769	88	17	with	with	ADP
ejpam-2769	88	18	respect	respect	NOUN
ejpam-2769	88	19	to	to	ADP
ejpam-2769	88	20	x	x	PUNCT
ejpam-2769	88	21	and	and	CCONJ
ejpam-2769	88	22	t	t	NOUN
ejpam-2769	88	23	we	we	PRON
ejpam-2769	88	24	get	get	VERB
ejpam-2769	88	25	j	j	PROPN
ejpam-2769	88	26	′′xx(x	′′xx(x	PROPN
ejpam-2769	88	27	,	,	PUNCT
ejpam-2769	88	28	t)−	t)−	PROPN
ejpam-2769	88	29	ρ(x)j	ρ(x)j	PROPN
ejpam-2769	88	30	′′tt(x	′′tt(x	NUM
ejpam-2769	88	31	,	,	PUNCT
ejpam-2769	88	32	t)−	t)−	PROPN
ejpam-2769	88	33	q(x)j(x	q(x)j(x	X
ejpam-2769	88	34	,	,	PUNCT
ejpam-2769	88	35	λ	λ	NOUN
ejpam-2769	88	36	)	)	PUNCT
ejpam-2769	88	37	≡	≡	PROPN
ejpam-2769	88	38	0	0	NUM
ejpam-2769	88	39	.	.	PUNCT
ejpam-2769	89	1	using	use	VERB
ejpam-2769	89	2	the	the	DET
ejpam-2769	89	3	formulas	formula	NOUN
ejpam-2769	89	4	(	(	PUNCT
ejpam-2769	89	5	9	9	NUM
ejpam-2769	89	6	)	)	PUNCT
ejpam-2769	89	7	,	,	PUNCT
ejpam-2769	89	8	(	(	PUNCT
ejpam-2769	89	9	12)-(15	12)-(15	X
ejpam-2769	89	10	)	)	PUNCT
ejpam-2769	89	11	and	and	CCONJ
ejpam-2769	89	12	(	(	PUNCT
ejpam-2769	89	13	17	17	NUM
ejpam-2769	89	14	)	)	PUNCT
ejpam-2769	89	15	,	,	PUNCT
ejpam-2769	89	16	we	we	PRON
ejpam-2769	89	17	obtain	obtain	VERB
ejpam-2769	89	18	the	the	DET
ejpam-2769	89	19	following	follow	VERB
ejpam-2769	89	20	homogeneous	homogeneous	ADJ
ejpam-2769	89	21	equation	equation	NOUN
ejpam-2769	89	22	2	2	NUM
ejpam-2769	89	23	1	1	NUM
ejpam-2769	89	24	+	+	CCONJ
ejpam-2769	89	25	√	√	NUM
ejpam-2769	89	26	ρ(t	ρ(t	NUM
ejpam-2769	89	27	)	)	PUNCT
ejpam-2769	89	28	[	[	PUNCT
ejpam-2769	89	29	axx	axx	PROPN
ejpam-2769	89	30	(	(	PUNCT
ejpam-2769	89	31	x	x	NOUN
ejpam-2769	89	32	,	,	PUNCT
ejpam-2769	89	33	µ+(t	µ+(t	NUM
ejpam-2769	89	34	)	)	PUNCT
ejpam-2769	89	35	)	)	PUNCT
ejpam-2769	90	1	−	−	PROPN
ejpam-2769	91	1	ρ(x)att	ρ(x)att	NOUN
ejpam-2769	91	2	(	(	PUNCT
ejpam-2769	91	3	x	x	NOUN
ejpam-2769	91	4	,	,	PUNCT
ejpam-2769	91	5	µ+(t	µ+(t	NUM
ejpam-2769	91	6	)	)	PUNCT
ejpam-2769	91	7	)	)	PUNCT
ejpam-2769	92	1	−	−	PROPN
ejpam-2769	92	2	q(x)a	q(x)a	PROPN
ejpam-2769	92	3	(	(	PUNCT
ejpam-2769	92	4	x	x	NOUN
ejpam-2769	92	5	,	,	PUNCT
ejpam-2769	92	6	µ+(t	µ+(t	PROPN
ejpam-2769	92	7	)	)	PUNCT
ejpam-2769	92	8	)	)	PUNCT
ejpam-2769	92	9	]	]	PUNCT
ejpam-2769	93	1	+	+	CCONJ
ejpam-2769	93	2	+	+	NUM
ejpam-2769	93	3	1−	1−	NUM
ejpam-2769	93	4	√	√	PROPN
ejpam-2769	93	5	ρ(2a−	ρ(2a−	PROPN
ejpam-2769	93	6	t	t	PROPN
ejpam-2769	93	7	)	)	PUNCT
ejpam-2769	93	8	1	1	NUM
ejpam-2769	94	1	+	+	CCONJ
ejpam-2769	94	2	√	√	PROPN
ejpam-2769	94	3	ρ(2a−	ρ(2a−	NUM
ejpam-2769	94	4	t	t	PROPN
ejpam-2769	94	5	)	)	PUNCT
ejpam-2769	95	1	[	[	X
ejpam-2769	95	2	axx	axx	X
ejpam-2769	95	3	(	(	PUNCT
ejpam-2769	95	4	x	x	X
ejpam-2769	95	5	,	,	PUNCT
ejpam-2769	95	6	2a−	2a−	PROPN
ejpam-2769	95	7	t)−	t)−	PROPN
ejpam-2769	95	8	ρ(x)att	ρ(x)att	NOUN
ejpam-2769	95	9	(	(	PUNCT
ejpam-2769	95	10	x	x	X
ejpam-2769	95	11	,	,	PUNCT
ejpam-2769	95	12	2a−	2a−	PROPN
ejpam-2769	95	13	t)−	t)−	PROPN
ejpam-2769	95	14	q(x)a	q(x)a	PROPN
ejpam-2769	95	15	(	(	PUNCT
ejpam-2769	95	16	x	x	X
ejpam-2769	95	17	,	,	PUNCT
ejpam-2769	95	18	2a−	2a−	PROPN
ejpam-2769	95	19	t	t	PROPN
ejpam-2769	95	20	)	)	PUNCT
ejpam-2769	95	21	]	]	PUNCT
ejpam-2769	96	1	+	+	CCONJ
ejpam-2769	96	2	d.	d.	PROPN
ejpam-2769	96	3	karahan	karahan	PROPN
ejpam-2769	96	4	,	,	PUNCT
ejpam-2769	96	5	kh	kh	PROPN
ejpam-2769	96	6	.	.	PUNCT
ejpam-2769	96	7	r.	r.	PROPN
ejpam-2769	96	8	mamedov	mamedov	PROPN
ejpam-2769	96	9	/	/	SYM
ejpam-2769	96	10	eur	eur	PROPN
ejpam-2769	96	11	.	.	PUNCT
ejpam-2769	97	1	j.	j.	PROPN
ejpam-2769	97	2	pure	pure	PROPN
ejpam-2769	97	3	appl	appl	PROPN
ejpam-2769	97	4	.	.	PROPN
ejpam-2769	97	5	math	math	PROPN
ejpam-2769	97	6	,	,	PUNCT
ejpam-2769	97	7	10	10	NUM
ejpam-2769	97	8	(	(	PUNCT
ejpam-2769	97	9	3	3	NUM
ejpam-2769	97	10	)	)	PUNCT
ejpam-2769	97	11	(	(	PUNCT
ejpam-2769	97	12	2017	2017	NUM
ejpam-2769	97	13	)	)	PUNCT
ejpam-2769	97	14	,	,	PUNCT
ejpam-2769	97	15	535	535	NUM
ejpam-2769	97	16	-	-	SYM
ejpam-2769	97	17	543	543	NUM
ejpam-2769	97	18	539	539	NUM
ejpam-2769	97	19	+	+	NUM
ejpam-2769	97	20	∫	∫	PROPN
ejpam-2769	97	21	µ+(x	µ+(x	NUM
ejpam-2769	97	22	)	)	PUNCT
ejpam-2769	97	23	0	0	PUNCT
ejpam-2769	98	1	[	[	X
ejpam-2769	98	2	axx(x	axx(x	ADV
ejpam-2769	98	3	,	,	PUNCT
ejpam-2769	98	4	ξ)−	ξ)−	PROPN
ejpam-2769	98	5	ρ(x)aξξ(x	ρ(x)aξξ(x	NOUN
ejpam-2769	98	6	,	,	PUNCT
ejpam-2769	98	7	ξ)−	ξ)−	PROPN
ejpam-2769	98	8	q(x)a(x	q(x)a(x	NOUN
ejpam-2769	98	9	,	,	PUNCT
ejpam-2769	98	10	ξ)]f0(ξ	ξ)]f0(ξ	NOUN
ejpam-2769	98	11	,	,	PUNCT
ejpam-2769	98	12	t)dξ	t)dξ	PROPN
ejpam-2769	98	13	=	=	SYM
ejpam-2769	98	14	0	0	X
ejpam-2769	98	15	.	.	PUNCT
ejpam-2769	99	1	we	we	PRON
ejpam-2769	99	2	know	know	VERB
ejpam-2769	99	3	that	that	SCONJ
ejpam-2769	99	4	from	from	ADP
ejpam-2769	99	5	[	[	X
ejpam-2769	99	6	21	21	NUM
ejpam-2769	99	7	]	]	PUNCT
ejpam-2769	99	8	this	this	DET
ejpam-2769	99	9	equation	equation	NOUN
ejpam-2769	99	10	has	have	VERB
ejpam-2769	99	11	only	only	ADV
ejpam-2769	99	12	trivial	trivial	ADJ
ejpam-2769	99	13	solution	solution	NOUN
ejpam-2769	99	14	:	:	PUNCT
ejpam-2769	99	15	axx(x	axx(x	ADV
ejpam-2769	99	16	,	,	PUNCT
ejpam-2769	99	17	t)−	t)−	PROPN
ejpam-2769	99	18	ρ(x)att(x	ρ(x)att(x	NOUN
ejpam-2769	99	19	,	,	PUNCT
ejpam-2769	99	20	t)−	t)−	PROPN
ejpam-2769	99	21	q(x)a(x	q(x)a(x	NOUN
ejpam-2769	99	22	,	,	PUNCT
ejpam-2769	99	23	t	t	PROPN
ejpam-2769	99	24	)	)	PUNCT
ejpam-2769	99	25	=	=	SYM
ejpam-2769	99	26	0	0	NUM
ejpam-2769	99	27	,	,	PUNCT
ejpam-2769	99	28	0	0	NUM
ejpam-2769	99	29	<	<	X
ejpam-2769	99	30	t	t	X
ejpam-2769	99	31	<	<	X
ejpam-2769	99	32	x.	x.	PROPN
ejpam-2769	99	33	(	(	PUNCT
ejpam-2769	99	34	21	21	NUM
ejpam-2769	99	35	)	)	PUNCT
ejpam-2769	99	36	differentiating	differentiate	VERB
ejpam-2769	99	37	(	(	PUNCT
ejpam-2769	99	38	5	5	NUM
ejpam-2769	99	39	)	)	PUNCT
ejpam-2769	99	40	twice	twice	ADV
ejpam-2769	99	41	,	,	PUNCT
ejpam-2769	99	42	integrating	integrate	VERB
ejpam-2769	99	43	by	by	ADP
ejpam-2769	99	44	parts	part	NOUN
ejpam-2769	99	45	twice	twice	ADV
ejpam-2769	99	46	and	and	CCONJ
ejpam-2769	99	47	using	use	VERB
ejpam-2769	99	48	(	(	PUNCT
ejpam-2769	99	49	16	16	NUM
ejpam-2769	99	50	)	)	PUNCT
ejpam-2769	99	51	we	we	PRON
ejpam-2769	99	52	obtain	obtain	VERB
ejpam-2769	99	53	ϕ′′(x	ϕ′′(x	NOUN
ejpam-2769	99	54	,	,	PUNCT
ejpam-2769	99	55	λ	λ	NOUN
ejpam-2769	99	56	)	)	PUNCT
ejpam-2769	99	57	+	+	X
ejpam-2769	99	58	λ2ρ(x)ϕ(x	λ2ρ(x)ϕ(x	SYM
ejpam-2769	99	59	,	,	PUNCT
ejpam-2769	99	60	λ)−	λ)−	PROPN
ejpam-2769	99	61	q(x)ϕ(x	q(x)ϕ(x	X
ejpam-2769	99	62	,	,	PUNCT
ejpam-2769	99	63	λ	λ	NOUN
ejpam-2769	99	64	)	)	PUNCT
ejpam-2769	99	65	=	=	SYM
ejpam-2769	99	66	ϕ′′0(x	ϕ′′0(x	NOUN
ejpam-2769	99	67	,	,	PUNCT
ejpam-2769	99	68	λ	λ	NOUN
ejpam-2769	99	69	)	)	PUNCT
ejpam-2769	99	70	+	+	NUM
ejpam-2769	99	71	∫	∫	PROPN
ejpam-2769	99	72	µ+(x	µ+(x	NUM
ejpam-2769	99	73	)	)	PUNCT
ejpam-2769	99	74	0	0	PUNCT
ejpam-2769	100	1	axx(x	axx(x	ADJ
ejpam-2769	100	2	,	,	PUNCT
ejpam-2769	100	3	t	t	PROPN
ejpam-2769	100	4	)	)	PUNCT
ejpam-2769	100	5	cosλtdt+	cosλtdt+	PUNCT
ejpam-2769	101	1	−λρ(x)a(x	−λρ(x)a(x	PROPN
ejpam-2769	101	2	,	,	PUNCT
ejpam-2769	101	3	µ+(x	µ+(x	PROPN
ejpam-2769	101	4	)	)	PUNCT
ejpam-2769	101	5	)	)	PUNCT
ejpam-2769	102	1	sinλµ+(x	sinλµ+(x	PROPN
ejpam-2769	102	2	)	)	PUNCT
ejpam-2769	103	1	+	+	CCONJ
ejpam-2769	103	2	√	√	NUM
ejpam-2769	103	3	ρ(x)ax(x	ρ(x)ax(x	NOUN
ejpam-2769	103	4	,	,	PUNCT
ejpam-2769	103	5	µ+(x	µ+(x	NUM
ejpam-2769	103	6	)	)	PUNCT
ejpam-2769	103	7	)	)	PUNCT
ejpam-2769	103	8	cosλµ+(x)+	cosλµ+(x)+	NOUN
ejpam-2769	103	9	+	+	NOUN
ejpam-2769	103	10	λρ(x	λρ(x	NUM
ejpam-2769	103	11	)	)	PUNCT
ejpam-2769	103	12	sinλµ−(x	sinλµ−(x	NOUN
ejpam-2769	103	13	)	)	PUNCT
ejpam-2769	103	14	(	(	PUNCT
ejpam-2769	103	15	a	a	DET
ejpam-2769	103	16	(	(	PUNCT
ejpam-2769	103	17	x	x	NOUN
ejpam-2769	103	18	,	,	PUNCT
ejpam-2769	103	19	µ−(x	µ−(x	PUNCT
ejpam-2769	103	20	)	)	PUNCT
ejpam-2769	104	1	+	+	CCONJ
ejpam-2769	104	2	0	0	X
ejpam-2769	104	3	)	)	PUNCT
ejpam-2769	104	4	−a	−a	NOUN
ejpam-2769	104	5	(	(	PUNCT
ejpam-2769	104	6	x	x	X
ejpam-2769	104	7	,	,	PUNCT
ejpam-2769	104	8	µ−(x)−	µ−(x)−	NOUN
ejpam-2769	104	9	0	0	NUM
ejpam-2769	104	10	)	)	PUNCT
ejpam-2769	104	11	)	)	PUNCT
ejpam-2769	105	1	+	+	CCONJ
ejpam-2769	105	2	+	+	CCONJ
ejpam-2769	105	3	√	√	NUM
ejpam-2769	105	4	ρ(x	ρ(x	NUM
ejpam-2769	105	5	)	)	PUNCT
ejpam-2769	105	6	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	105	7	)	)	PUNCT
ejpam-2769	106	1	d	d	X
ejpam-2769	106	2	dx	dx	PROPN
ejpam-2769	106	3	(	(	PUNCT
ejpam-2769	106	4	a	a	DET
ejpam-2769	106	5	(	(	PUNCT
ejpam-2769	106	6	x	x	NOUN
ejpam-2769	106	7	,	,	PUNCT
ejpam-2769	106	8	µ−(x	µ−(x	PUNCT
ejpam-2769	106	9	)	)	PUNCT
ejpam-2769	106	10	+	+	CCONJ
ejpam-2769	106	11	0	0	X
ejpam-2769	106	12	)	)	PUNCT
ejpam-2769	106	13	−a	−a	NOUN
ejpam-2769	106	14	(	(	PUNCT
ejpam-2769	106	15	x	x	X
ejpam-2769	106	16	,	,	PUNCT
ejpam-2769	106	17	µ−(x)−	µ−(x)−	NOUN
ejpam-2769	106	18	0	0	NUM
ejpam-2769	106	19	)	)	PUNCT
ejpam-2769	106	20	)	)	PUNCT
ejpam-2769	107	1	+	+	CCONJ
ejpam-2769	107	2	+	+	CCONJ
ejpam-2769	107	3	√	√	NUM
ejpam-2769	107	4	ρ(x	ρ(x	NUM
ejpam-2769	107	5	)	)	PUNCT
ejpam-2769	107	6	cosλµ+(x	cosλµ+(x	PROPN
ejpam-2769	107	7	)	)	PUNCT
ejpam-2769	107	8	∂a(x	∂a(x	PROPN
ejpam-2769	107	9	,	,	PUNCT
ejpam-2769	107	10	t	t	PROPN
ejpam-2769	107	11	)	)	PUNCT
ejpam-2769	107	12	∂x	∂x	PROPN
ejpam-2769	107	13	∣∣∣∣	∣∣∣∣	PROPN
ejpam-2769	107	14	t=µ+(x	t=µ+(x	PROPN
ejpam-2769	107	15	)	)	PUNCT
ejpam-2769	108	1	+	+	CCONJ
ejpam-2769	109	1	+	+	CCONJ
ejpam-2769	109	2	√	√	NUM
ejpam-2769	109	3	ρ(x	ρ(x	NUM
ejpam-2769	109	4	)	)	PUNCT
ejpam-2769	109	5	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	109	6	)	)	PUNCT
ejpam-2769	109	7	(	(	PUNCT
ejpam-2769	109	8	∂a(x	∂a(x	PROPN
ejpam-2769	109	9	,	,	PUNCT
ejpam-2769	109	10	t	t	PROPN
ejpam-2769	109	11	)	)	PUNCT
ejpam-2769	109	12	∂x	∂x	PROPN
ejpam-2769	109	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2769	110	1	t=µ−(x)+0	t=µ−(x)+0	PROPN
ejpam-2769	110	2	−	−	PROPN
ejpam-2769	111	1	∂a(x	∂a(x	PROPN
ejpam-2769	111	2	,	,	PUNCT
ejpam-2769	111	3	t	t	PROPN
ejpam-2769	111	4	)	)	PUNCT
ejpam-2769	111	5	∂x	∂x	PROPN
ejpam-2769	111	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-2769	111	7	t=µ−(x)−0	t=µ−(x)−0	PROPN
ejpam-2769	111	8	)	)	PUNCT
ejpam-2769	111	9	−	−	ADP
ejpam-2769	111	10	−ϕ′′0(x	−ϕ′′0(x	NOUN
ejpam-2769	111	11	,	,	PUNCT
ejpam-2769	111	12	λ	λ	X
ejpam-2769	111	13	)	)	PUNCT
ejpam-2769	111	14	+	+	PUNCT
ejpam-2769	111	15	λρ(x	λρ(x	NUM
ejpam-2769	111	16	)	)	PUNCT
ejpam-2769	111	17	sinλµ+(x)a(x	sinλµ+(x)a(x	NOUN
ejpam-2769	111	18	,	,	PUNCT
ejpam-2769	111	19	µ+(x	µ+(x	PROPN
ejpam-2769	111	20	)	)	PUNCT
ejpam-2769	111	21	)	)	PUNCT
ejpam-2769	112	1	+	+	CCONJ
ejpam-2769	112	2	ρ(x	ρ(x	NOUN
ejpam-2769	112	3	)	)	PUNCT
ejpam-2769	112	4	cosλµ+(x	cosλµ+(x	PROPN
ejpam-2769	112	5	)	)	PUNCT
ejpam-2769	112	6	∂a(x	∂a(x	PROPN
ejpam-2769	112	7	,	,	PUNCT
ejpam-2769	112	8	t	t	PROPN
ejpam-2769	112	9	)	)	PUNCT
ejpam-2769	112	10	∂t	∂t	PROPN
ejpam-2769	112	11	∣∣∣∣	∣∣∣∣	PROPN
ejpam-2769	112	12	t=µ+(x	t=µ+(x	PROPN
ejpam-2769	112	13	)	)	PUNCT
ejpam-2769	113	1	−	−	PROPN
ejpam-2769	113	2	−λρ(x	−λρ(x	NOUN
ejpam-2769	113	3	)	)	PUNCT
ejpam-2769	113	4	sinλµ−(x	sinλµ−(x	NOUN
ejpam-2769	113	5	)	)	PUNCT
ejpam-2769	113	6	{	{	PUNCT
ejpam-2769	113	7	a	a	DET
ejpam-2769	113	8	(	(	PUNCT
ejpam-2769	113	9	x	x	NOUN
ejpam-2769	113	10	,	,	PUNCT
ejpam-2769	113	11	µ−(x	µ−(x	PUNCT
ejpam-2769	113	12	)	)	PUNCT
ejpam-2769	114	1	+	+	CCONJ
ejpam-2769	114	2	0	0	X
ejpam-2769	114	3	)	)	PUNCT
ejpam-2769	114	4	−a	−a	NOUN
ejpam-2769	114	5	(	(	PUNCT
ejpam-2769	114	6	x	x	X
ejpam-2769	114	7	,	,	PUNCT
ejpam-2769	114	8	µ−(x)−	µ−(x)−	NOUN
ejpam-2769	114	9	0	0	NUM
ejpam-2769	114	10	)	)	PUNCT
ejpam-2769	114	11	}	}	PUNCT
ejpam-2769	115	1	+	+	PUNCT
ejpam-2769	115	2	+	+	ADJ
ejpam-2769	115	3	ρ(x	ρ(x	NOUN
ejpam-2769	115	4	)	)	PUNCT
ejpam-2769	115	5	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	115	6	)	)	PUNCT
ejpam-2769	116	1	[	[	PUNCT
ejpam-2769	116	2	∂a(x	∂a(x	PROPN
ejpam-2769	116	3	,	,	PUNCT
ejpam-2769	116	4	t	t	PROPN
ejpam-2769	116	5	)	)	PUNCT
ejpam-2769	116	6	∂t	∂t	PROPN
ejpam-2769	116	7	∣∣∣∣	∣∣∣∣	PROPN
ejpam-2769	116	8	t=µ−(x)−0	t=µ−(x)−0	PROPN
ejpam-2769	116	9	−	−	PROPN
ejpam-2769	116	10	∂a(x	∂a(x	PROPN
ejpam-2769	116	11	,	,	PUNCT
ejpam-2769	116	12	t	t	PROPN
ejpam-2769	116	13	)	)	PUNCT
ejpam-2769	116	14	∂t	∂t	PROPN
ejpam-2769	116	15	∣∣∣∣	∣∣∣∣	PROPN
ejpam-2769	116	16	t=µ−(x)+0	t=µ−(x)+0	PROPN
ejpam-2769	116	17	]	]	PUNCT
ejpam-2769	116	18	−	−	PROPN
ejpam-2769	116	19	−ρ(x	−ρ(x	NOUN
ejpam-2769	116	20	)	)	PUNCT
ejpam-2769	116	21	∫	∫	PROPN
ejpam-2769	116	22	µ+(x	µ+(x	PROPN
ejpam-2769	116	23	)	)	PUNCT
ejpam-2769	116	24	0	0	NUM
ejpam-2769	117	1	a′′tt(x	a′′tt(x	PROPN
ejpam-2769	117	2	,	,	PUNCT
ejpam-2769	117	3	t	t	PROPN
ejpam-2769	117	4	)	)	PUNCT
ejpam-2769	117	5	cosλtdt−	cosλtdt−	NOUN
ejpam-2769	117	6	−q(x	−q(x	NOUN
ejpam-2769	117	7	)	)	PUNCT
ejpam-2769	117	8	[	[	PUNCT
ejpam-2769	117	9	1	1	NUM
ejpam-2769	117	10	2	2	NUM
ejpam-2769	117	11	(	(	PUNCT
ejpam-2769	117	12	1	1	NUM
ejpam-2769	117	13	+	+	CCONJ
ejpam-2769	117	14	1√	1√	PROPN
ejpam-2769	117	15	ρ(x	ρ(x	NOUN
ejpam-2769	117	16	)	)	PUNCT
ejpam-2769	117	17	)	)	PUNCT
ejpam-2769	118	1	cosλµ+(x)+	cosλµ+(x)+	NOUN
ejpam-2769	118	2	+	+	CCONJ
ejpam-2769	118	3	1	1	NUM
ejpam-2769	118	4	2	2	NUM
ejpam-2769	118	5	(	(	PUNCT
ejpam-2769	118	6	1−	1−	NUM
ejpam-2769	118	7	1√	1√	PROPN
ejpam-2769	118	8	ρ(x	ρ(x	PROPN
ejpam-2769	118	9	)	)	PUNCT
ejpam-2769	118	10	)	)	PUNCT
ejpam-2769	118	11	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	118	12	)	)	PUNCT
ejpam-2769	119	1	+	+	CCONJ
ejpam-2769	119	2	∫	∫	PROPN
ejpam-2769	119	3	µ+(x	µ+(x	NUM
ejpam-2769	119	4	)	)	PUNCT
ejpam-2769	119	5	0	0	PUNCT
ejpam-2769	120	1	a(x	a(x	PROPN
ejpam-2769	120	2	,	,	PUNCT
ejpam-2769	120	3	t	t	PROPN
ejpam-2769	120	4	)	)	PUNCT
ejpam-2769	120	5	cosλtdt	cosλtdt	NOUN
ejpam-2769	120	6	]	]	PUNCT
ejpam-2769	120	7	.	.	PUNCT
ejpam-2769	121	1	hence	hence	ADV
ejpam-2769	121	2	using	use	VERB
ejpam-2769	121	3	(	(	PUNCT
ejpam-2769	121	4	12	12	NUM
ejpam-2769	121	5	)	)	PUNCT
ejpam-2769	121	6	,	,	PUNCT
ejpam-2769	121	7	(	(	PUNCT
ejpam-2769	121	8	17	17	NUM
ejpam-2769	121	9	)	)	PUNCT
ejpam-2769	121	10	and	and	CCONJ
ejpam-2769	121	11	(	(	PUNCT
ejpam-2769	121	12	21	21	NUM
ejpam-2769	121	13	)	)	PUNCT
ejpam-2769	121	14	we	we	PRON
ejpam-2769	121	15	arrive	arrive	VERB
ejpam-2769	121	16	at	at	ADP
ejpam-2769	121	17	(	(	PUNCT
ejpam-2769	121	18	18	18	NUM
ejpam-2769	121	19	)	)	PUNCT
ejpam-2769	121	20	.	.	PUNCT
ejpam-2769	122	1	the	the	DET
ejpam-2769	122	2	relations	relation	NOUN
ejpam-2769	122	3	(	(	PUNCT
ejpam-2769	122	4	19	19	NUM
ejpam-2769	122	5	)	)	PUNCT
ejpam-2769	122	6	follow	follow	VERB
ejpam-2769	122	7	from	from	ADP
ejpam-2769	122	8	(	(	PUNCT
ejpam-2769	122	9	5	5	NUM
ejpam-2769	122	10	)	)	PUNCT
ejpam-2769	122	11	for	for	ADP
ejpam-2769	122	12	x	x	SYM
ejpam-2769	122	13	=	=	SYM
ejpam-2769	122	14	0	0	X
ejpam-2769	122	15	.	.	PUNCT
ejpam-2769	123	1	lemma	lemma	PROPN
ejpam-2769	123	2	1	1	NUM
ejpam-2769	123	3	is	be	AUX
ejpam-2769	123	4	proved	prove	VERB
ejpam-2769	123	5	in	in	ADP
ejpam-2769	123	6	the	the	DET
ejpam-2769	123	7	case	case	NOUN
ejpam-2769	123	8	b(x	b(x	NOUN
ejpam-2769	123	9	)	)	PUNCT
ejpam-2769	123	10	∈w	∈w	VERB
ejpam-2769	123	11	2	2	NUM
ejpam-2769	123	12	2	2	NUM
ejpam-2769	123	13	(	(	PUNCT
ejpam-2769	123	14	0	0	NUM
ejpam-2769	123	15	,	,	PUNCT
ejpam-2769	123	16	π	π	NOUN
ejpam-2769	123	17	)	)	PUNCT
ejpam-2769	123	18	.	.	PUNCT
ejpam-2769	124	1	the	the	DET
ejpam-2769	124	2	proof	proof	NOUN
ejpam-2769	124	3	of	of	ADP
ejpam-2769	124	4	lemma	lemma	PROPN
ejpam-2769	124	5	1	1	NUM
ejpam-2769	124	6	in	in	ADP
ejpam-2769	124	7	the	the	DET
ejpam-2769	124	8	case	case	NOUN
ejpam-2769	124	9	b(x	b(x	NOUN
ejpam-2769	124	10	)	)	PUNCT
ejpam-2769	124	11	∈w	∈w	VERB
ejpam-2769	124	12	1	1	NUM
ejpam-2769	124	13	2	2	NUM
ejpam-2769	124	14	(	(	PUNCT
ejpam-2769	124	15	0	0	NUM
ejpam-2769	124	16	,	,	PUNCT
ejpam-2769	124	17	π	π	X
ejpam-2769	124	18	)	)	PUNCT
ejpam-2769	124	19	is	be	AUX
ejpam-2769	124	20	carried	carry	VERB
ejpam-2769	124	21	out	out	ADP
ejpam-2769	124	22	by	by	ADP
ejpam-2769	124	23	a	a	DET
ejpam-2769	124	24	standard	standard	ADJ
ejpam-2769	124	25	method	method	NOUN
ejpam-2769	124	26	(	(	PUNCT
ejpam-2769	124	27	see	see	VERB
ejpam-2769	125	1	e.g.	e.g.	ADV
ejpam-2769	125	2	[	[	X
ejpam-2769	125	3	8	8	NUM
ejpam-2769	125	4	]	]	PUNCT
ejpam-2769	125	5	p.	p.	NOUN
ejpam-2769	125	6	40	40	NUM
ejpam-2769	125	7	)	)	PUNCT
ejpam-2769	125	8	.	.	PUNCT
ejpam-2769	126	1	as	as	ADP
ejpam-2769	126	2	in	in	ADP
ejpam-2769	126	3	the	the	DET
ejpam-2769	126	4	theory	theory	NOUN
ejpam-2769	126	5	of	of	ADP
ejpam-2769	126	6	sturm	sturm	PROPN
ejpam-2769	126	7	-	-	PUNCT
ejpam-2769	126	8	liouville	liouville	NOUN
ejpam-2769	126	9	problems	problem	NOUN
ejpam-2769	126	10	(	(	PUNCT
ejpam-2769	126	11	see	see	VERB
ejpam-2769	126	12	[	[	X
ejpam-2769	126	13	15	15	NUM
ejpam-2769	126	14	]	]	X
ejpam-2769	126	15	,	,	PUNCT
ejpam-2769	126	16	lemma	lemma	PROPN
ejpam-2769	126	17	1.5.8	1.5.8	NUM
ejpam-2769	126	18	and	and	CCONJ
ejpam-2769	126	19	corollary	corollary	ADJ
ejpam-2769	126	20	1.5.1	1.5.1	NUM
ejpam-2769	126	21	)	)	PUNCT
ejpam-2769	126	22	the	the	DET
ejpam-2769	126	23	following	follow	VERB
ejpam-2769	126	24	lemmas	lemmas	PROPN
ejpam-2769	126	25	can	can	AUX
ejpam-2769	126	26	be	be	AUX
ejpam-2769	126	27	proved	prove	VERB
ejpam-2769	126	28	.	.	PUNCT
ejpam-2769	127	1	d.	d.	PROPN
ejpam-2769	127	2	karahan	karahan	PROPN
ejpam-2769	127	3	,	,	PUNCT
ejpam-2769	127	4	kh	kh	PROPN
ejpam-2769	127	5	.	.	PUNCT
ejpam-2769	127	6	r.	r.	PROPN
ejpam-2769	127	7	mamedov	mamedov	PROPN
ejpam-2769	127	8	/	/	SYM
ejpam-2769	127	9	eur	eur	PROPN
ejpam-2769	127	10	.	.	PUNCT
ejpam-2769	128	1	j.	j.	PROPN
ejpam-2769	128	2	pure	pure	PROPN
ejpam-2769	128	3	appl	appl	PROPN
ejpam-2769	128	4	.	.	PROPN
ejpam-2769	128	5	math	math	PROPN
ejpam-2769	128	6	,	,	PUNCT
ejpam-2769	128	7	10	10	NUM
ejpam-2769	128	8	(	(	PUNCT
ejpam-2769	128	9	3	3	NUM
ejpam-2769	128	10	)	)	PUNCT
ejpam-2769	128	11	(	(	PUNCT
ejpam-2769	128	12	2017	2017	NUM
ejpam-2769	128	13	)	)	PUNCT
ejpam-2769	128	14	,	,	PUNCT
ejpam-2769	128	15	535	535	NUM
ejpam-2769	128	16	-	-	SYM
ejpam-2769	128	17	543	543	NUM
ejpam-2769	128	18	540	540	NUM
ejpam-2769	128	19	lemma	lemma	PROPN
ejpam-2769	128	20	2	2	NUM
ejpam-2769	128	21	.	.	PUNCT
ejpam-2769	129	1	for	for	ADP
ejpam-2769	129	2	each	each	DET
ejpam-2769	129	3	function	function	NOUN
ejpam-2769	129	4	g(x	g(x	NOUN
ejpam-2769	129	5	)	)	PUNCT
ejpam-2769	129	6	∈	∈	PROPN
ejpam-2769	129	7	l2,ρ(0	l2,ρ(0	PROPN
ejpam-2769	129	8	,	,	PUNCT
ejpam-2769	129	9	π),∫	π),∫	NOUN
ejpam-2769	129	10	π	π	PROPN
ejpam-2769	129	11	0	0	NUM
ejpam-2769	129	12	ρ(x)g2(x)dx	ρ(x)g2(x)dx	VERB
ejpam-2769	129	13	=	=	NOUN
ejpam-2769	129	14	∞∑	∞∑	NUM
ejpam-2769	129	15	n=1	n=1	NUM
ejpam-2769	129	16	1	1	NUM
ejpam-2769	129	17	αn	αn	NOUN
ejpam-2769	129	18	(	(	PUNCT
ejpam-2769	129	19	∫	∫	PROPN
ejpam-2769	129	20	π	π	PROPN
ejpam-2769	129	21	0	0	NUM
ejpam-2769	130	1	ρ(t)g(t)ϕ(t	ρ(t)g(t)ϕ(t	NUM
ejpam-2769	130	2	,	,	PUNCT
ejpam-2769	130	3	λn)dt	λn)dt	X
ejpam-2769	130	4	)	)	PUNCT
ejpam-2769	130	5	2	2	NUM
ejpam-2769	130	6	.	.	PUNCT
ejpam-2769	131	1	(	(	PUNCT
ejpam-2769	131	2	22	22	NUM
ejpam-2769	131	3	)	)	PUNCT
ejpam-2769	131	4	corollary	corollary	ADJ
ejpam-2769	131	5	1	1	NUM
ejpam-2769	131	6	.	.	PUNCT
ejpam-2769	132	1	for	for	ADP
ejpam-2769	132	2	arbitrary	arbitrary	ADJ
ejpam-2769	132	3	functions	function	NOUN
ejpam-2769	132	4	f(x	f(x	PROPN
ejpam-2769	132	5	)	)	PUNCT
ejpam-2769	132	6	,	,	PUNCT
ejpam-2769	132	7	g(x	g(x	NOUN
ejpam-2769	132	8	)	)	PUNCT
ejpam-2769	132	9	∈	∈	PROPN
ejpam-2769	132	10	l2,ρ(0	l2,ρ(0	PROPN
ejpam-2769	132	11	,	,	PUNCT
ejpam-2769	132	12	π),∫	π),∫	NOUN
ejpam-2769	132	13	π	π	NOUN
ejpam-2769	132	14	0	0	NUM
ejpam-2769	132	15	ρ(x)f(x)g(x)dx	ρ(x)f(x)g(x)dx	NOUN
ejpam-2769	132	16	=	=	NOUN
ejpam-2769	133	1	∞∑	∞∑	NUM
ejpam-2769	133	2	n=1	n=1	NUM
ejpam-2769	133	3	1	1	NUM
ejpam-2769	133	4	αn	αn	NOUN
ejpam-2769	133	5	∫	∫	PROPN
ejpam-2769	133	6	π	π	X
ejpam-2769	133	7	0	0	PUNCT
ejpam-2769	133	8	ρ(t)f(t)ϕ(t	ρ(t)f(t)ϕ(t	NUM
ejpam-2769	133	9	,	,	PUNCT
ejpam-2769	133	10	λn)dt	λn)dt	X
ejpam-2769	133	11	∫	∫	PROPN
ejpam-2769	133	12	π	π	X
ejpam-2769	133	13	0	0	PUNCT
ejpam-2769	133	14	ρ(t)g(t)ϕ(t	ρ(t)g(t)ϕ(t	NUM
ejpam-2769	133	15	,	,	PUNCT
ejpam-2769	133	16	λn)dt	λn)dt	X
ejpam-2769	133	17	.	.	PUNCT
ejpam-2769	134	1	(	(	PUNCT
ejpam-2769	134	2	23	23	NUM
ejpam-2769	134	3	)	)	PUNCT
ejpam-2769	134	4	using	use	VERB
ejpam-2769	134	5	the	the	DET
ejpam-2769	134	6	below	below	NOUN
ejpam-2769	134	7	lemmas	lemma	NOUN
ejpam-2769	134	8	the	the	DET
ejpam-2769	134	9	following	follow	VERB
ejpam-2769	134	10	lemma	lemma	PROPN
ejpam-2769	134	11	is	be	AUX
ejpam-2769	134	12	proved	prove	VERB
ejpam-2769	134	13	with	with	ADP
ejpam-2769	134	14	standard	standard	ADJ
ejpam-2769	134	15	method	method	NOUN
ejpam-2769	134	16	.	.	PUNCT
ejpam-2769	135	1	lemma	lemma	PROPN
ejpam-2769	135	2	3	3	NUM
ejpam-2769	135	3	.	.	PUNCT
ejpam-2769	136	1	the	the	DET
ejpam-2769	136	2	following	follow	VERB
ejpam-2769	136	3	relation	relation	NOUN
ejpam-2769	136	4	holds∫	holds∫	VERB
ejpam-2769	136	5	π	π	NOUN
ejpam-2769	136	6	0	0	SYM
ejpam-2769	136	7	ρ(x)ϕ(t	ρ(x)ϕ(t	NOUN
ejpam-2769	136	8	,	,	PUNCT
ejpam-2769	136	9	λn)ϕ(t	λn)ϕ(t	NOUN
ejpam-2769	136	10	,	,	PUNCT
ejpam-2769	136	11	λk)dt	λk)dt	X
ejpam-2769	136	12	=	=	X
ejpam-2769	136	13	{	{	PUNCT
ejpam-2769	136	14	0	0	NUM
ejpam-2769	136	15	,	,	PUNCT
ejpam-2769	136	16	n	n	PROPN
ejpam-2769	136	17	6=	6=	PROPN
ejpam-2769	136	18	k	k	PROPN
ejpam-2769	136	19	αn	αn	PROPN
ejpam-2769	136	20	,	,	PUNCT
ejpam-2769	136	21	n	n	PROPN
ejpam-2769	136	22	=	=	PUNCT
ejpam-2769	136	23	k.	k.	PROPN
ejpam-2769	136	24	(	(	PUNCT
ejpam-2769	136	25	24	24	NUM
ejpam-2769	136	26	)	)	PUNCT
ejpam-2769	136	27	2.2	2.2	NUM
ejpam-2769	136	28	.	.	PUNCT
ejpam-2769	137	1	derivation	derivation	NOUN
ejpam-2769	137	2	of	of	ADP
ejpam-2769	137	3	boundary	boundary	ADJ
ejpam-2769	137	4	condition	condition	NOUN
ejpam-2769	137	5	lemma	lemma	PROPN
ejpam-2769	137	6	4	4	X
ejpam-2769	137	7	.	.	PUNCT
ejpam-2769	138	1	for	for	ADP
ejpam-2769	138	2	all	all	DET
ejpam-2769	138	3	n	n	PRON
ejpam-2769	138	4	≥	≥	NOUN
ejpam-2769	138	5	1	1	NUM
ejpam-2769	138	6	the	the	DET
ejpam-2769	138	7	equality	equality	NOUN
ejpam-2769	138	8	ϕ(π	ϕ(π	NOUN
ejpam-2769	138	9	,	,	PUNCT
ejpam-2769	138	10	λn	λn	NOUN
ejpam-2769	138	11	)	)	PUNCT
ejpam-2769	138	12	=	=	SYM
ejpam-2769	138	13	0	0	NUM
ejpam-2769	138	14	holds	hold	NOUN
ejpam-2769	138	15	.	.	PUNCT
ejpam-2769	139	1	proof	proof	NOUN
ejpam-2769	139	2	.	.	PUNCT
ejpam-2769	140	1	since	since	SCONJ
ejpam-2769	140	2	−ϕ′′(x	−ϕ′′(x	PROPN
ejpam-2769	140	3	,	,	PUNCT
ejpam-2769	140	4	λn	λn	NOUN
ejpam-2769	140	5	)	)	PUNCT
ejpam-2769	140	6	+	+	CCONJ
ejpam-2769	140	7	q(x)ϕ(x	q(x)ϕ(x	NUM
ejpam-2769	140	8	,	,	PUNCT
ejpam-2769	140	9	λn	λn	NOUN
ejpam-2769	140	10	)	)	PUNCT
ejpam-2769	140	11	=	=	SYM
ejpam-2769	141	1	λ2nρ(x)ϕ(x	λ2nρ(x)ϕ(x	ADJ
ejpam-2769	141	2	,	,	PUNCT
ejpam-2769	141	3	λn	λn	NOUN
ejpam-2769	141	4	)	)	PUNCT
ejpam-2769	141	5	,	,	PUNCT
ejpam-2769	141	6	−ϕ′′(x	−ϕ′′(x	CCONJ
ejpam-2769	141	7	,	,	PUNCT
ejpam-2769	141	8	λm	λm	NOUN
ejpam-2769	141	9	)	)	PUNCT
ejpam-2769	141	10	+	+	CCONJ
ejpam-2769	141	11	q(x)ϕ(x	q(x)ϕ(x	NUM
ejpam-2769	141	12	,	,	PUNCT
ejpam-2769	141	13	λm	λm	NOUN
ejpam-2769	141	14	)	)	PUNCT
ejpam-2769	141	15	=	=	SYM
ejpam-2769	142	1	λ2mρ(x)ϕ(x	λ2mρ(x)ϕ(x	NOUN
ejpam-2769	142	2	,	,	PUNCT
ejpam-2769	142	3	λm	λm	NOUN
ejpam-2769	142	4	)	)	PUNCT
ejpam-2769	142	5	,	,	PUNCT
ejpam-2769	142	6	we	we	PRON
ejpam-2769	142	7	get	get	VERB
ejpam-2769	142	8	d	d	PROPN
ejpam-2769	142	9	dx	dx	PROPN
ejpam-2769	142	10	(	(	PUNCT
ejpam-2769	142	11	ϕ(x	ϕ(x	PROPN
ejpam-2769	142	12	,	,	PUNCT
ejpam-2769	142	13	λn)ϕ′(x	λn)ϕ′(x	PROPN
ejpam-2769	142	14	,	,	PUNCT
ejpam-2769	142	15	λm)−	λm)−	PROPN
ejpam-2769	142	16	ϕ′(x	ϕ′(x	PROPN
ejpam-2769	142	17	,	,	PUNCT
ejpam-2769	142	18	λn)ϕ(x	λn)ϕ(x	X
ejpam-2769	142	19	,	,	PUNCT
ejpam-2769	142	20	λm	λm	NOUN
ejpam-2769	142	21	)	)	PUNCT
ejpam-2769	142	22	)	)	PUNCT
ejpam-2769	143	1	=	=	PUNCT
ejpam-2769	144	1	=	=	PUNCT
ejpam-2769	145	1	(	(	PUNCT
ejpam-2769	145	2	λ2n	λ2n	NOUN
ejpam-2769	145	3	−	−	PROPN
ejpam-2769	145	4	λ2	λ2	PROPN
ejpam-2769	145	5	m	m	PROPN
ejpam-2769	145	6	)	)	PUNCT
ejpam-2769	145	7	ρ(x)ϕ(x	ρ(x)ϕ(x	NUM
ejpam-2769	145	8	,	,	PUNCT
ejpam-2769	145	9	λn)ϕ(x	λn)ϕ(x	X
ejpam-2769	145	10	,	,	PUNCT
ejpam-2769	145	11	λm	λm	X
ejpam-2769	145	12	)	)	PUNCT
ejpam-2769	145	13	(	(	PUNCT
ejpam-2769	145	14	25	25	NUM
ejpam-2769	145	15	)	)	PUNCT
ejpam-2769	145	16	from	from	ADP
ejpam-2769	145	17	(	(	PUNCT
ejpam-2769	145	18	25	25	NUM
ejpam-2769	145	19	)	)	PUNCT
ejpam-2769	145	20	we	we	PRON
ejpam-2769	145	21	have	have	VERB
ejpam-2769	145	22	(	(	PUNCT
ejpam-2769	145	23	λ2n	λ2n	NOUN
ejpam-2769	145	24	−	−	PROPN
ejpam-2769	145	25	λ2	λ2	NOUN
ejpam-2769	145	26	m	m	NOUN
ejpam-2769	145	27	)	)	PUNCT
ejpam-2769	145	28	∫	∫	PROPN
ejpam-2769	146	1	π	π	PROPN
ejpam-2769	146	2	0	0	NUM
ejpam-2769	146	3	ρ(x)ϕ(x	ρ(x)ϕ(x	NUM
ejpam-2769	146	4	,	,	PUNCT
ejpam-2769	146	5	λn)ϕ(x	λn)ϕ(x	X
ejpam-2769	146	6	,	,	PUNCT
ejpam-2769	146	7	λm)dx	λm)dx	PUNCT
ejpam-2769	146	8	=	=	SYM
ejpam-2769	146	9	=	=	SYM
ejpam-2769	146	10	ϕ(π	ϕ(π	NOUN
ejpam-2769	146	11	,	,	PUNCT
ejpam-2769	146	12	λn)ϕ′(π	λn)ϕ′(π	NOUN
ejpam-2769	146	13	,	,	PUNCT
ejpam-2769	146	14	λm)−	λm)−	PROPN
ejpam-2769	146	15	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	146	16	,	,	PUNCT
ejpam-2769	146	17	λn)ϕ(π	λn)ϕ(π	X
ejpam-2769	146	18	,	,	PUNCT
ejpam-2769	146	19	λm	λm	NOUN
ejpam-2769	146	20	)	)	PUNCT
ejpam-2769	146	21	.	.	PUNCT
ejpam-2769	147	1	by	by	ADP
ejpam-2769	147	2	(	(	PUNCT
ejpam-2769	147	3	24	24	NUM
ejpam-2769	147	4	)	)	PUNCT
ejpam-2769	147	5	we	we	PRON
ejpam-2769	147	6	get	get	VERB
ejpam-2769	147	7	ϕ(π	ϕ(π	NOUN
ejpam-2769	147	8	,	,	PUNCT
ejpam-2769	147	9	λn)ϕ′(π	λn)ϕ′(π	PROPN
ejpam-2769	147	10	,	,	PUNCT
ejpam-2769	147	11	λm)−	λm)−	PROPN
ejpam-2769	147	12	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	147	13	,	,	PUNCT
ejpam-2769	147	14	λn)ϕ(π	λn)ϕ(π	X
ejpam-2769	147	15	,	,	PUNCT
ejpam-2769	147	16	λm	λm	NOUN
ejpam-2769	147	17	)	)	PUNCT
ejpam-2769	147	18	=	=	SYM
ejpam-2769	148	1	0	0	X
ejpam-2769	148	2	.	.	PUNCT
ejpam-2769	149	1	(	(	PUNCT
ejpam-2769	149	2	26	26	NUM
ejpam-2769	149	3	)	)	PUNCT
ejpam-2769	149	4	clearly	clearly	ADV
ejpam-2769	149	5	,	,	PUNCT
ejpam-2769	149	6	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	149	7	,	,	PUNCT
ejpam-2769	149	8	λn	λn	NOUN
ejpam-2769	149	9	)	)	PUNCT
ejpam-2769	149	10	6=	6=	ADP
ejpam-2769	149	11	0	0	NUM
ejpam-2769	149	12	,	,	PUNCT
ejpam-2769	149	13	for	for	ADP
ejpam-2769	149	14	all	all	DET
ejpam-2769	149	15	n	n	PRON
ejpam-2769	149	16	≥	≥	NOUN
ejpam-2769	149	17	1	1	NUM
ejpam-2769	149	18	.	.	PUNCT
ejpam-2769	150	1	indeed	indeed	ADV
ejpam-2769	150	2	,	,	PUNCT
ejpam-2769	150	3	if	if	SCONJ
ejpam-2769	150	4	we	we	PRON
ejpam-2769	150	5	suppose	suppose	VERB
ejpam-2769	150	6	that	that	SCONJ
ejpam-2769	150	7	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	150	8	,	,	PUNCT
ejpam-2769	150	9	λm	λm	ADP
ejpam-2769	150	10	)	)	PUNCT
ejpam-2769	150	11	=	=	SYM
ejpam-2769	150	12	0	0	NUM
ejpam-2769	150	13	for	for	ADP
ejpam-2769	150	14	a	a	DET
ejpam-2769	150	15	certain	certain	ADJ
ejpam-2769	150	16	m	m	NOUN
ejpam-2769	150	17	,	,	PUNCT
ejpam-2769	150	18	then	then	ADV
ejpam-2769	150	19	ϕ(π	ϕ(π	NOUN
ejpam-2769	150	20	,	,	PUNCT
ejpam-2769	150	21	λm	λm	NOUN
ejpam-2769	150	22	)	)	PUNCT
ejpam-2769	150	23	6=	6=	ADP
ejpam-2769	150	24	0	0	NUM
ejpam-2769	150	25	,	,	PUNCT
ejpam-2769	150	26	and	and	CCONJ
ejpam-2769	150	27	in	in	ADP
ejpam-2769	150	28	view	view	NOUN
ejpam-2769	150	29	of	of	ADP
ejpam-2769	150	30	(	(	PUNCT
ejpam-2769	150	31	26	26	NUM
ejpam-2769	150	32	)	)	PUNCT
ejpam-2769	150	33	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	150	34	,	,	PUNCT
ejpam-2769	150	35	λn	λn	NOUN
ejpam-2769	150	36	)	)	PUNCT
ejpam-2769	150	37	=	=	SYM
ejpam-2769	150	38	0	0	NUM
ejpam-2769	150	39	for	for	ADP
ejpam-2769	150	40	all	all	DET
ejpam-2769	150	41	n.	n.	NOUN
ejpam-2769	150	42	on	on	ADP
ejpam-2769	150	43	the	the	DET
ejpam-2769	150	44	other	other	ADJ
ejpam-2769	150	45	hand	hand	NOUN
ejpam-2769	150	46	,	,	PUNCT
ejpam-2769	150	47	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	150	48	,	,	PUNCT
ejpam-2769	150	49	λn	λn	NOUN
ejpam-2769	150	50	)	)	PUNCT
ejpam-2769	150	51	=	=	SYM
ejpam-2769	150	52	ϕ′0(π	ϕ′0(π	NOUN
ejpam-2769	150	53	,	,	PUNCT
ejpam-2769	150	54	λn	λn	NOUN
ejpam-2769	150	55	)	)	PUNCT
ejpam-2769	151	1	+	+	NOUN
ejpam-2769	151	2	o(e|imλ|µ	o(e|imλ|µ	VERB
ejpam-2769	151	3	+	+	ADJ
ejpam-2769	151	4	(	(	PUNCT
ejpam-2769	151	5	x	x	NOUN
ejpam-2769	151	6	)	)	PUNCT
ejpam-2769	151	7	)	)	PUNCT
ejpam-2769	151	8	,	,	PUNCT
ejpam-2769	151	9	|λ|	|λ|	PROPN
ejpam-2769	151	10	→	→	SYM
ejpam-2769	151	11	∞	∞	PROPN
ejpam-2769	151	12	d.	d.	PROPN
ejpam-2769	151	13	karahan	karahan	PROPN
ejpam-2769	151	14	,	,	PUNCT
ejpam-2769	151	15	kh	kh	PROPN
ejpam-2769	151	16	.	.	PUNCT
ejpam-2769	151	17	r.	r.	PROPN
ejpam-2769	151	18	mamedov	mamedov	PROPN
ejpam-2769	151	19	/	/	SYM
ejpam-2769	151	20	eur	eur	PROPN
ejpam-2769	151	21	.	.	PUNCT
ejpam-2769	152	1	j.	j.	PROPN
ejpam-2769	152	2	pure	pure	PROPN
ejpam-2769	152	3	appl	appl	PROPN
ejpam-2769	152	4	.	.	PROPN
ejpam-2769	152	5	math	math	PROPN
ejpam-2769	152	6	,	,	PUNCT
ejpam-2769	152	7	10	10	NUM
ejpam-2769	152	8	(	(	PUNCT
ejpam-2769	152	9	3	3	NUM
ejpam-2769	152	10	)	)	PUNCT
ejpam-2769	152	11	(	(	PUNCT
ejpam-2769	152	12	2017	2017	NUM
ejpam-2769	152	13	)	)	PUNCT
ejpam-2769	152	14	,	,	PUNCT
ejpam-2769	152	15	535	535	NUM
ejpam-2769	152	16	-	-	SYM
ejpam-2769	152	17	543	543	NUM
ejpam-2769	152	18	541	541	NUM
ejpam-2769	152	19	i.e.	i.e.	X
ejpam-2769	152	20	for	for	ADP
ejpam-2769	152	21	any	any	DET
ejpam-2769	152	22	n	n	CCONJ
ejpam-2769	152	23	,	,	PUNCT
ejpam-2769	152	24	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	152	25	,	,	PUNCT
ejpam-2769	152	26	λn	λn	NOUN
ejpam-2769	152	27	)	)	PUNCT
ejpam-2769	153	1	≈	≈	PROPN
ejpam-2769	153	2	ϕ′0(π	ϕ′0(π	NOUN
ejpam-2769	153	3	,	,	PUNCT
ejpam-2769	153	4	λ	λ	PROPN
ejpam-2769	153	5	0	0	NUM
ejpam-2769	153	6	n	n	CCONJ
ejpam-2769	153	7	)	)	PUNCT
ejpam-2769	153	8	6=	6=	ADP
ejpam-2769	153	9	0	0	NUM
ejpam-2769	153	10	as	as	ADP
ejpam-2769	153	11	n	n	PROPN
ejpam-2769	153	12	→	→	SYM
ejpam-2769	153	13	∞	∞	PROPN
ejpam-2769	153	14	,	,	PUNCT
ejpam-2769	153	15	that	that	PRON
ejpam-2769	153	16	contradicts	contradict	VERB
ejpam-2769	153	17	the	the	DET
ejpam-2769	153	18	condition	condition	NOUN
ejpam-2769	153	19	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	153	20	,	,	PUNCT
ejpam-2769	153	21	λn	λn	NOUN
ejpam-2769	153	22	)	)	PUNCT
ejpam-2769	153	23	=	=	SYM
ejpam-2769	153	24	0	0	NUM
ejpam-2769	153	25	,	,	PUNCT
ejpam-2769	153	26	n	n	CCONJ
ejpam-2769	153	27	6=	6=	NUM
ejpam-2769	153	28	m.	m.	NOUN
ejpam-2769	153	29	thus	thus	ADV
ejpam-2769	153	30	,	,	PUNCT
ejpam-2769	153	31	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	153	32	,	,	PUNCT
ejpam-2769	153	33	λn	λn	NOUN
ejpam-2769	153	34	)	)	PUNCT
ejpam-2769	153	35	6=	6=	ADP
ejpam-2769	153	36	0	0	NUM
ejpam-2769	153	37	,	,	PUNCT
ejpam-2769	153	38	for	for	ADP
ejpam-2769	153	39	all	all	DET
ejpam-2769	153	40	n	n	PRON
ejpam-2769	153	41	≥	≥	NOUN
ejpam-2769	153	42	1	1	NUM
ejpam-2769	153	43	and	and	CCONJ
ejpam-2769	153	44	from	from	ADP
ejpam-2769	153	45	(	(	PUNCT
ejpam-2769	153	46	26	26	NUM
ejpam-2769	153	47	)	)	PUNCT
ejpam-2769	153	48	we	we	PRON
ejpam-2769	153	49	have	have	VERB
ejpam-2769	153	50	ϕ(π	ϕ(π	NOUN
ejpam-2769	153	51	,	,	PUNCT
ejpam-2769	153	52	λn	λn	NOUN
ejpam-2769	153	53	)	)	PUNCT
ejpam-2769	153	54	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	153	55	,	,	PUNCT
ejpam-2769	153	56	λn	λn	NOUN
ejpam-2769	153	57	)	)	PUNCT
ejpam-2769	153	58	=	=	SYM
ejpam-2769	153	59	ϕ(π	ϕ(π	NOUN
ejpam-2769	153	60	,	,	PUNCT
ejpam-2769	153	61	λm	λm	ADP
ejpam-2769	153	62	)	)	PUNCT
ejpam-2769	153	63	ϕ′(π	ϕ′(π	PROPN
ejpam-2769	153	64	,	,	PUNCT
ejpam-2769	153	65	λm	λm	NOUN
ejpam-2769	153	66	)	)	PUNCT
ejpam-2769	153	67	=	=	SYM
ejpam-2769	153	68	h	h	NOUN
ejpam-2769	153	69	,	,	PUNCT
ejpam-2769	153	70	i.e.	i.e.	X
ejpam-2769	153	71	for	for	ADP
ejpam-2769	153	72	any	any	DET
ejpam-2769	153	73	n	n	CCONJ
ejpam-2769	153	74	,	,	PUNCT
ejpam-2769	153	75	ϕ(π	ϕ(π	NOUN
ejpam-2769	153	76	,	,	PUNCT
ejpam-2769	153	77	λn	λn	NOUN
ejpam-2769	153	78	)	)	PUNCT
ejpam-2769	153	79	=	=	SYM
ejpam-2769	153	80	hϕ′(π	hϕ′(π	PROPN
ejpam-2769	153	81	,	,	PUNCT
ejpam-2769	153	82	λn	λn	NOUN
ejpam-2769	153	83	)	)	PUNCT
ejpam-2769	153	84	.	.	PUNCT
ejpam-2769	154	1	since	since	SCONJ
ejpam-2769	154	2	ϕ(π	ϕ(π	PRON
ejpam-2769	154	3	,	,	PUNCT
ejpam-2769	154	4	λn	λn	NOUN
ejpam-2769	154	5	)	)	PUNCT
ejpam-2769	154	6	=	=	SYM
ejpam-2769	154	7	o(1	o(1	NOUN
ejpam-2769	154	8	)	)	PUNCT
ejpam-2769	154	9	as	as	ADP
ejpam-2769	154	10	n	n	PROPN
ejpam-2769	154	11	→	→	SYM
ejpam-2769	154	12	∞	∞	PROPN
ejpam-2769	154	13	,	,	PUNCT
ejpam-2769	154	14	we	we	PRON
ejpam-2769	154	15	have	have	VERB
ejpam-2769	154	16	h	h	NOUN
ejpam-2769	154	17	=	=	NOUN
ejpam-2769	154	18	0	0	NUM
ejpam-2769	154	19	i.e.	i.e.	X
ejpam-2769	154	20	ϕ(π	ϕ(π	NOUN
ejpam-2769	154	21	,	,	PUNCT
ejpam-2769	154	22	λn	λn	NOUN
ejpam-2769	154	23	)	)	PUNCT
ejpam-2769	154	24	=	=	SYM
ejpam-2769	155	1	0	0	X
ejpam-2769	155	2	.	.	PUNCT
ejpam-2769	156	1	thus	thus	ADV
ejpam-2769	156	2	,	,	PUNCT
ejpam-2769	156	3	we	we	PRON
ejpam-2769	156	4	prove	prove	VERB
ejpam-2769	156	5	that	that	SCONJ
ejpam-2769	156	6	the	the	DET
ejpam-2769	156	7	numbers	number	NOUN
ejpam-2769	156	8	{	{	PUNCT
ejpam-2769	156	9	λ2n	λ2n	NOUN
ejpam-2769	156	10	,	,	PUNCT
ejpam-2769	156	11	αn	αn	NOUN
ejpam-2769	156	12	}	}	PUNCT
ejpam-2769	156	13	n≥1	n≥1	NOUN
ejpam-2769	156	14	are	be	AUX
ejpam-2769	156	15	spectral	spectral	ADJ
ejpam-2769	156	16	data	datum	NOUN
ejpam-2769	156	17	of	of	ADP
ejpam-2769	156	18	the	the	DET
ejpam-2769	156	19	constructed	construct	VERB
ejpam-2769	156	20	boundary	boundary	ADJ
ejpam-2769	156	21	value	value	NOUN
ejpam-2769	156	22	problem	problem	NOUN
ejpam-2769	156	23	(	(	PUNCT
ejpam-2769	156	24	1	1	NUM
ejpam-2769	156	25	)	)	PUNCT
ejpam-2769	156	26	,	,	PUNCT
ejpam-2769	156	27	(	(	PUNCT
ejpam-2769	156	28	2	2	NUM
ejpam-2769	156	29	)	)	PUNCT
ejpam-2769	156	30	.	.	PUNCT
ejpam-2769	157	1	then	then	ADV
ejpam-2769	157	2	,	,	PUNCT
ejpam-2769	157	3	the	the	DET
ejpam-2769	157	4	following	follow	VERB
ejpam-2769	157	5	theorem	theorem	NOUN
ejpam-2769	157	6	is	be	AUX
ejpam-2769	157	7	proved	prove	VERB
ejpam-2769	157	8	.	.	PUNCT
ejpam-2769	158	1	theorem	theorem	ADJ
ejpam-2769	158	2	3	3	NUM
ejpam-2769	158	3	.	.	X
ejpam-2769	158	4	for	for	ADP
ejpam-2769	158	5	the	the	DET
ejpam-2769	158	6	sequences	sequence	NOUN
ejpam-2769	158	7	{	{	PUNCT
ejpam-2769	158	8	λ2n	λ2n	NOUN
ejpam-2769	158	9	,	,	PUNCT
ejpam-2769	158	10	αn	αn	NOUN
ejpam-2769	158	11	}	}	PUNCT
ejpam-2769	158	12	n≥1	n≥1	NOUN
ejpam-2769	158	13	,	,	PUNCT
ejpam-2769	158	14	where	where	SCONJ
ejpam-2769	158	15	λn	λn	PROPN
ejpam-2769	158	16	6=	6=	X
ejpam-2769	158	17	λm	λm	ADP
ejpam-2769	158	18	for	for	ADP
ejpam-2769	158	19	n	n	PROPN
ejpam-2769	158	20	6=	6=	NUM
ejpam-2769	158	21	m	m	PROPN
ejpam-2769	158	22	,	,	PUNCT
ejpam-2769	158	23	αn	αn	ADV
ejpam-2769	158	24	>	>	X
ejpam-2769	158	25	0	0	PUNCT
ejpam-2769	159	1	for	for	SCONJ
ejpam-2769	159	2	all	all	DET
ejpam-2769	159	3	n	n	NOUN
ejpam-2769	159	4	to	to	PART
ejpam-2769	159	5	be	be	AUX
ejpam-2769	159	6	spectral	spectral	ADJ
ejpam-2769	159	7	date	date	NOUN
ejpam-2769	159	8	of	of	ADP
ejpam-2769	159	9	a	a	DET
ejpam-2769	159	10	problem	problem	NOUN
ejpam-2769	159	11	l(q(x	l(q(x	PROPN
ejpam-2769	159	12	)	)	PUNCT
ejpam-2769	159	13	)	)	PUNCT
ejpam-2769	159	14	of	of	ADP
ejpam-2769	159	15	the	the	DET
ejpam-2769	159	16	form	form	NOUN
ejpam-2769	159	17	(	(	PUNCT
ejpam-2769	159	18	1)-(3	1)-(3	NUM
ejpam-2769	159	19	)	)	PUNCT
ejpam-2769	159	20	with	with	ADP
ejpam-2769	159	21	q(x	q(x	NOUN
ejpam-2769	159	22	)	)	PUNCT
ejpam-2769	159	23	∈	∈	PROPN
ejpam-2769	159	24	l2(0	l2(0	NOUN
ejpam-2769	159	25	,	,	PUNCT
ejpam-2769	159	26	π	π	PROPN
ejpam-2769	159	27	)	)	PUNCT
ejpam-2769	159	28	,	,	PUNCT
ejpam-2769	159	29	it	it	PRON
ejpam-2769	159	30	is	be	AUX
ejpam-2769	159	31	necessary	necessary	ADJ
ejpam-2769	159	32	and	and	CCONJ
ejpam-2769	159	33	sufficient	sufficient	ADJ
ejpam-2769	159	34	to	to	PART
ejpam-2769	159	35	satisfy	satisfy	VERB
ejpam-2769	159	36	conditions	condition	NOUN
ejpam-2769	159	37	λn	λn	NOUN
ejpam-2769	159	38	=	=	PUNCT
ejpam-2769	160	1	λ0n	λ0n	X
ejpam-2769	160	2	+	+	CCONJ
ejpam-2769	160	3	dn	dn	PROPN
ejpam-2769	160	4	λ0n	λ0n	PROPN
ejpam-2769	160	5	+	+	CCONJ
ejpam-2769	160	6	kn	kn	PROPN
ejpam-2769	160	7	n	n	NOUN
ejpam-2769	160	8	,	,	PUNCT
ejpam-2769	160	9	αn	αn	NOUN
ejpam-2769	160	10	=	=	SYM
ejpam-2769	161	1	α0	α0	ADJ
ejpam-2769	161	2	n	n	CCONJ
ejpam-2769	161	3	+	+	NUM
ejpam-2769	161	4	tn	tn	PROPN
ejpam-2769	161	5	n	n	PROPN
ejpam-2769	161	6	,	,	PUNCT
ejpam-2769	161	7	{	{	PUNCT
ejpam-2769	161	8	kn	kn	NOUN
ejpam-2769	161	9	}	}	PUNCT
ejpam-2769	161	10	,	,	PUNCT
ejpam-2769	161	11	{	{	PUNCT
ejpam-2769	161	12	tn	tn	NOUN
ejpam-2769	161	13	}	}	PUNCT
ejpam-2769	161	14	∈	∈	NOUN
ejpam-2769	161	15	l2	l2	NOUN
ejpam-2769	161	16	here	here	ADV
ejpam-2769	161	17	λ0n	λ0n	NOUN
ejpam-2769	161	18	are	be	AUX
ejpam-2769	161	19	the	the	DET
ejpam-2769	161	20	zeros	zero	NOUN
ejpam-2769	161	21	of	of	ADP
ejpam-2769	161	22	the	the	DET
ejpam-2769	161	23	function	function	NOUN
ejpam-2769	161	24	∆0(λ	∆0(λ	NOUN
ejpam-2769	161	25	)	)	PUNCT
ejpam-2769	161	26	=	=	SYM
ejpam-2769	162	1	1	1	NUM
ejpam-2769	162	2	2	2	NUM
ejpam-2769	162	3	(	(	PUNCT
ejpam-2769	162	4	1	1	NUM
ejpam-2769	162	5	+	+	SYM
ejpam-2769	162	6	1	1	NUM
ejpam-2769	162	7	α	α	NOUN
ejpam-2769	162	8	)	)	PUNCT
ejpam-2769	162	9	cosλµ+(π	cosλµ+(π	PROPN
ejpam-2769	162	10	)	)	PUNCT
ejpam-2769	163	1	+	+	CCONJ
ejpam-2769	163	2	1	1	NUM
ejpam-2769	163	3	2	2	NUM
ejpam-2769	163	4	(	(	PUNCT
ejpam-2769	163	5	1−	1−	NUM
ejpam-2769	163	6	1	1	NUM
ejpam-2769	163	7	α	α	NOUN
ejpam-2769	163	8	)	)	PUNCT
ejpam-2769	163	9	cosλµ−(π	cosλµ−(π	NOUN
ejpam-2769	163	10	)	)	PUNCT
ejpam-2769	163	11	,	,	PUNCT
ejpam-2769	163	12	α0	α0	PROPN
ejpam-2769	163	13	n	n	NOUN
ejpam-2769	163	14	=	=	SYM
ejpam-2769	163	15	∫	∫	PROPN
ejpam-2769	163	16	π	π	NOUN
ejpam-2769	163	17	0	0	PUNCT
ejpam-2769	164	1	ϕ2	ϕ2	ADV
ejpam-2769	164	2	0(x	0(x	NOUN
ejpam-2769	164	3	,	,	PUNCT
ejpam-2769	164	4	λn)ρ(x)dx	λn)ρ(x)dx	NOUN
ejpam-2769	164	5	,	,	PUNCT
ejpam-2769	164	6	ϕ0(x	ϕ0(x	NOUN
ejpam-2769	164	7	,	,	PUNCT
ejpam-2769	164	8	λ	λ	NOUN
ejpam-2769	164	9	)	)	PUNCT
ejpam-2769	164	10	=	=	SYM
ejpam-2769	164	11	1	1	NUM
ejpam-2769	164	12	2	2	NUM
ejpam-2769	164	13	(	(	PUNCT
ejpam-2769	164	14	1	1	NUM
ejpam-2769	164	15	+	+	CCONJ
ejpam-2769	164	16	1√	1√	PROPN
ejpam-2769	164	17	ρ(x	ρ(x	NOUN
ejpam-2769	164	18	)	)	PUNCT
ejpam-2769	164	19	)	)	PUNCT
ejpam-2769	165	1	cosλµ+(x	cosλµ+(x	PROPN
ejpam-2769	165	2	)	)	PUNCT
ejpam-2769	166	1	+	+	CCONJ
ejpam-2769	166	2	1	1	NUM
ejpam-2769	166	3	2	2	NUM
ejpam-2769	166	4	(	(	PUNCT
ejpam-2769	166	5	1−	1−	NUM
ejpam-2769	166	6	1√	1√	PROPN
ejpam-2769	166	7	ρ(x	ρ(x	PROPN
ejpam-2769	166	8	)	)	PUNCT
ejpam-2769	166	9	)	)	PUNCT
ejpam-2769	167	1	cosλµ−(x	cosλµ−(x	NOUN
ejpam-2769	167	2	)	)	PUNCT
ejpam-2769	167	3	,	,	PUNCT
ejpam-2769	167	4	µ±(x	µ±(x	PROPN
ejpam-2769	167	5	)	)	PUNCT
ejpam-2769	167	6	=	=	SYM
ejpam-2769	167	7	±x	±x	PROPN
ejpam-2769	167	8	√	√	NUM
ejpam-2769	167	9	ρ(x	ρ(x	NUM
ejpam-2769	167	10	)	)	PUNCT
ejpam-2769	168	1	+	+	CCONJ
ejpam-2769	168	2	a	a	DET
ejpam-2769	168	3	(	(	PUNCT
ejpam-2769	168	4	1∓	1∓	NUM
ejpam-2769	168	5	√	√	NUM
ejpam-2769	168	6	ρ(x	ρ(x	NUM
ejpam-2769	168	7	)	)	PUNCT
ejpam-2769	168	8	)	)	PUNCT
ejpam-2769	168	9	,	,	PUNCT
ejpam-2769	168	10	dn	dn	PROPN
ejpam-2769	168	11	is	be	AUX
ejpam-2769	168	12	a	a	DET
ejpam-2769	168	13	bounded	bounded	ADJ
ejpam-2769	168	14	sequence	sequence	NOUN
ejpam-2769	168	15	;	;	PUNCT
ejpam-2769	168	16	{	{	PUNCT
ejpam-2769	168	17	kn	kn	NOUN
ejpam-2769	168	18	}	}	PUNCT
ejpam-2769	168	19	,	,	PUNCT
ejpam-2769	168	20	{	{	PUNCT
ejpam-2769	168	21	tn	tn	NOUN
ejpam-2769	168	22	}	}	PUNCT
ejpam-2769	168	23	∈	∈	PROPN
ejpam-2769	168	24	l2	l2	NOUN
ejpam-2769	168	25	.	.	PUNCT
ejpam-2769	169	1	algorithm	algorithm	NOUN
ejpam-2769	169	2	of	of	ADP
ejpam-2769	169	3	the	the	DET
ejpam-2769	169	4	construction	construction	NOUN
ejpam-2769	169	5	of	of	ADP
ejpam-2769	169	6	the	the	DET
ejpam-2769	169	7	function	function	NOUN
ejpam-2769	169	8	q(x	q(x	NOUN
ejpam-2769	169	9	)	)	PUNCT
ejpam-2769	169	10	by	by	ADP
ejpam-2769	169	11	spectral	spectral	ADJ
ejpam-2769	169	12	date	date	NOUN
ejpam-2769	169	13	{	{	PUNCT
ejpam-2769	169	14	λ2n	λ2n	NOUN
ejpam-2769	169	15	,	,	PUNCT
ejpam-2769	169	16	αn	αn	INTJ
ejpam-2769	169	17	}	}	PUNCT
ejpam-2769	169	18	follows	follow	VERB
ejpam-2769	169	19	from	from	ADP
ejpam-2769	169	20	the	the	DET
ejpam-2769	169	21	proof	proof	NOUN
ejpam-2769	169	22	of	of	ADP
ejpam-2769	169	23	the	the	DET
ejpam-2769	169	24	theorem	theorem	ADJ
ejpam-2769	169	25	3	3	NUM
ejpam-2769	169	26	:	:	SYM
ejpam-2769	169	27	1	1	NUM
ejpam-2769	169	28	)	)	PUNCT
ejpam-2769	169	29	by	by	ADP
ejpam-2769	169	30	the	the	DET
ejpam-2769	169	31	given	give	VERB
ejpam-2769	169	32	numbers	number	NOUN
ejpam-2769	169	33	{	{	PUNCT
ejpam-2769	169	34	λ2n	λ2n	NOUN
ejpam-2769	169	35	,	,	PUNCT
ejpam-2769	169	36	αn	αn	NOUN
ejpam-2769	169	37	}	}	PUNCT
ejpam-2769	169	38	n≥1	n≥1	VERB
ejpam-2769	169	39	the	the	DET
ejpam-2769	169	40	functions	function	NOUN
ejpam-2769	169	41	f0(x	f0(x	PROPN
ejpam-2769	169	42	,	,	PUNCT
ejpam-2769	169	43	t	t	PROPN
ejpam-2769	169	44	)	)	PUNCT
ejpam-2769	169	45	and	and	CCONJ
ejpam-2769	169	46	f	f	PROPN
ejpam-2769	169	47	(	(	PUNCT
ejpam-2769	169	48	x	x	PROPN
ejpam-2769	169	49	,	,	PUNCT
ejpam-2769	169	50	t	t	PROPN
ejpam-2769	169	51	)	)	PUNCT
ejpam-2769	169	52	are	be	AUX
ejpam-2769	169	53	constructed	construct	VERB
ejpam-2769	169	54	by	by	ADP
ejpam-2769	169	55	the	the	DET
ejpam-2769	169	56	formulas	formula	NOUN
ejpam-2769	169	57	(	(	PUNCT
ejpam-2769	169	58	10	10	NUM
ejpam-2769	169	59	)	)	PUNCT
ejpam-2769	169	60	and	and	CCONJ
ejpam-2769	169	61	(	(	PUNCT
ejpam-2769	169	62	11	11	NUM
ejpam-2769	169	63	)	)	PUNCT
ejpam-2769	169	64	,	,	PUNCT
ejpam-2769	169	65	respectively	respectively	ADV
ejpam-2769	169	66	;	;	PUNCT
ejpam-2769	169	67	2	2	X
ejpam-2769	169	68	)	)	PUNCT
ejpam-2769	169	69	the	the	DET
ejpam-2769	169	70	function	function	NOUN
ejpam-2769	169	71	a(x	a(x	PROPN
ejpam-2769	169	72	,	,	PUNCT
ejpam-2769	169	73	t	t	PROPN
ejpam-2769	169	74	)	)	PUNCT
ejpam-2769	169	75	is	be	AUX
ejpam-2769	169	76	found	find	VERB
ejpam-2769	169	77	from	from	ADP
ejpam-2769	169	78	equation	equation	NOUN
ejpam-2769	169	79	(	(	PUNCT
ejpam-2769	169	80	9	9	NUM
ejpam-2769	169	81	)	)	PUNCT
ejpam-2769	169	82	;	;	PUNCT
ejpam-2769	169	83	3	3	X
ejpam-2769	169	84	)	)	PUNCT
ejpam-2769	169	85	q(x	q(x	NOUN
ejpam-2769	169	86	)	)	PUNCT
ejpam-2769	169	87	is	be	AUX
ejpam-2769	169	88	calculated	calculate	VERB
ejpam-2769	169	89	by	by	ADP
ejpam-2769	169	90	the	the	DET
ejpam-2769	169	91	formula	formula	NOUN
ejpam-2769	169	92	(	(	PUNCT
ejpam-2769	169	93	12	12	NUM
ejpam-2769	169	94	)	)	PUNCT
ejpam-2769	169	95	.	.	PUNCT
ejpam-2769	170	1	acknowledgements	acknowledgement	NOUN
ejpam-2769	170	2	this	this	DET
ejpam-2769	170	3	work	work	NOUN
ejpam-2769	170	4	is	be	AUX
ejpam-2769	170	5	supported	support	VERB
ejpam-2769	170	6	by	by	ADP
ejpam-2769	170	7	the	the	DET
ejpam-2769	170	8	scientific	scientific	ADJ
ejpam-2769	170	9	and	and	CCONJ
ejpam-2769	170	10	technological	technological	ADJ
ejpam-2769	170	11	research	research	NOUN
ejpam-2769	170	12	council	council	NOUN
ejpam-2769	170	13	of	of	ADP
ejpam-2769	170	14	turkey	turkey	PROPN
ejpam-2769	170	15	(	(	PUNCT
ejpam-2769	170	16	tubitak	tubitak	NOUN
ejpam-2769	170	17	)	)	PUNCT
ejpam-2769	170	18	.	.	PUNCT
ejpam-2769	171	1	references	reference	NOUN
ejpam-2769	171	2	542	542	NUM
ejpam-2769	171	3	references	reference	NOUN
ejpam-2769	171	4	[	[	X
ejpam-2769	171	5	1	1	NUM
ejpam-2769	171	6	]	]	PUNCT
ejpam-2769	171	7	o.	o.	PROPN
ejpam-2769	171	8	h.	h.	PROPN
ejpam-2769	171	9	hald	hald	PROPN
ejpam-2769	171	10	:	:	PUNCT
ejpam-2769	171	11	discontinuous	discontinuous	ADJ
ejpam-2769	171	12	inverse	inverse	NOUN
ejpam-2769	171	13	eigenvalue	eigenvalue	NOUN
ejpam-2769	171	14	problems	problem	NOUN
ejpam-2769	171	15	,	,	PUNCT
ejpam-2769	171	16	comm	comm	NOUN
ejpam-2769	171	17	.	.	PUNCT
ejpam-2769	172	1	pure	pure	ADJ
ejpam-2769	172	2	appl	appl	PROPN
ejpam-2769	172	3	.	.	PUNCT
ejpam-2769	172	4	math	math	NOUN
ejpam-2769	172	5	.	.	PUNCT
ejpam-2769	173	1	37	37	NUM
ejpam-2769	173	2	(	(	PUNCT
ejpam-2769	173	3	1984	1984	NUM
ejpam-2769	173	4	)	)	PUNCT
ejpam-2769	173	5	,	,	PUNCT
ejpam-2769	173	6	539	539	NUM
ejpam-2769	173	7	-	-	SYM
ejpam-2769	173	8	577	577	NUM
ejpam-2769	173	9	.	.	PUNCT
ejpam-2769	174	1	[	[	X
ejpam-2769	174	2	2	2	NUM
ejpam-2769	174	3	]	]	PUNCT
ejpam-2769	174	4	a.	a.	NOUN
ejpam-2769	174	5	n.	n.	PROPN
ejpam-2769	174	6	tikhonov	tikhonov	PROPN
ejpam-2769	174	7	,	,	PUNCT
ejpam-2769	174	8	a.	a.	PROPN
ejpam-2769	174	9	a.	a.	PROPN
ejpam-2769	174	10	samarskii	samarskii	PROPN
ejpam-2769	174	11	:	:	PUNCT
ejpam-2769	174	12	equation	equation	NOUN
ejpam-2769	174	13	of	of	ADP
ejpam-2769	174	14	mathematical	mathematical	ADJ
ejpam-2769	174	15	physics	physics	PROPN
ejpam-2769	174	16	,	,	PUNCT
ejpam-2769	174	17	dover	dover	PROPN
ejpam-2769	174	18	books	book	NOUN
ejpam-2769	174	19	on	on	ADP
ejpam-2769	174	20	physics	physics	NOUN
ejpam-2769	174	21	and	and	CCONJ
ejpam-2769	174	22	chemistry	chemistry	NOUN
ejpam-2769	174	23	,	,	PUNCT
ejpam-2769	174	24	dover	dover	PROPN
ejpam-2769	174	25	new	new	PROPN
ejpam-2769	174	26	york	york	PROPN
ejpam-2769	174	27	,	,	PUNCT
ejpam-2769	174	28	(	(	PUNCT
ejpam-2769	174	29	1990	1990	NUM
ejpam-2769	174	30	)	)	PUNCT
ejpam-2769	174	31	.	.	PUNCT
ejpam-2769	175	1	[	[	X
ejpam-2769	175	2	3	3	NUM
ejpam-2769	175	3	]	]	PUNCT
ejpam-2769	175	4	a.	a.	NOUN
ejpam-2769	175	5	n.	n.	PROPN
ejpam-2769	175	6	tikhonov	tikhonov	PROPN
ejpam-2769	175	7	:	:	PUNCT
ejpam-2769	175	8	on	on	ADP
ejpam-2769	175	9	the	the	DET
ejpam-2769	175	10	uniqueness	uniqueness	NOUN
ejpam-2769	175	11	of	of	ADP
ejpam-2769	175	12	the	the	DET
ejpam-2769	175	13	solution	solution	NOUN
ejpam-2769	175	14	of	of	ADP
ejpam-2769	175	15	the	the	DET
ejpam-2769	175	16	electric	electric	ADJ
ejpam-2769	175	17	conductivity	conductivity	NOUN
ejpam-2769	175	18	problem	problem	NOUN
ejpam-2769	175	19	,	,	PUNCT
ejpam-2769	175	20	dokl	dokl	NOUN
ejpam-2769	175	21	.	.	PUNCT
ejpam-2769	175	22	akad	akad	PROPN
ejpam-2769	175	23	.	.	PUNCT
ejpam-2769	176	1	nauk	nauk	PROPN
ejpam-2769	176	2	sssr	sssr	NOUN
ejpam-2769	176	3	,	,	PUNCT
ejpam-2769	176	4	69	69	NUM
ejpam-2769	176	5	(	(	PUNCT
ejpam-2769	176	6	1949	1949	NUM
ejpam-2769	176	7	)	)	PUNCT
ejpam-2769	176	8	,	,	PUNCT
ejpam-2769	176	9	797–800	797–800	NUM
ejpam-2769	176	10	.	.	PUNCT
ejpam-2769	177	1	[	[	X
ejpam-2769	177	2	4	4	X
ejpam-2769	177	3	]	]	PUNCT
ejpam-2769	177	4	m.	m.	NOUN
ejpam-2769	177	5	l.	l.	PROPN
ejpam-2769	177	6	rasulov	rasulov	PROPN
ejpam-2769	177	7	:	:	PUNCT
ejpam-2769	177	8	methods	method	NOUN
ejpam-2769	177	9	of	of	ADP
ejpam-2769	177	10	contour	contour	NOUN
ejpam-2769	177	11	integration	integration	NOUN
ejpam-2769	177	12	,	,	PUNCT
ejpam-2769	177	13	series	series	NOUN
ejpam-2769	177	14	in	in	ADP
ejpam-2769	177	15	applied	applied	ADJ
ejpam-2769	177	16	mathematics	mathematic	NOUN
ejpam-2769	177	17	and	and	CCONJ
ejpam-2769	177	18	mechanics	mechanic	NOUN
ejpam-2769	177	19	,	,	PUNCT
ejpam-2769	177	20	north	north	NOUN
ejpam-2769	177	21	-	-	PUNCT
ejpam-2769	177	22	holland	holland	NOUN
ejpam-2769	177	23	amsterdam	amsterdam	PROPN
ejpam-2769	177	24	3	3	NUM
ejpam-2769	177	25	(	(	PUNCT
ejpam-2769	177	26	1967	1967	NUM
ejpam-2769	177	27	)	)	PUNCT
ejpam-2769	177	28	.	.	PUNCT
ejpam-2769	178	1	[	[	X
ejpam-2769	178	2	5	5	X
ejpam-2769	178	3	]	]	PUNCT
ejpam-2769	178	4	d.	d.	PROPN
ejpam-2769	178	5	g.	g.	PROPN
ejpam-2769	178	6	shepelsky	shepelsky	PROPN
ejpam-2769	178	7	:	:	PUNCT
ejpam-2769	178	8	the	the	DET
ejpam-2769	178	9	inverse	inverse	ADJ
ejpam-2769	178	10	problem	problem	NOUN
ejpam-2769	178	11	of	of	ADP
ejpam-2769	178	12	reconstruction	reconstruction	NOUN
ejpam-2769	178	13	of	of	ADP
ejpam-2769	178	14	the	the	DET
ejpam-2769	178	15	medium	medium	NOUN
ejpam-2769	178	16	’s	’s	NOUN
ejpam-2769	178	17	conductivity	conductivity	NOUN
ejpam-2769	178	18	in	in	ADP
ejpam-2769	178	19	a	a	DET
ejpam-2769	178	20	class	class	NOUN
ejpam-2769	178	21	of	of	ADP
ejpam-2769	178	22	discontinuous	discontinuous	ADJ
ejpam-2769	178	23	and	and	CCONJ
ejpam-2769	178	24	increasing	increase	VERB
ejpam-2769	178	25	functions	function	NOUN
ejpam-2769	178	26	,	,	PUNCT
ejpam-2769	178	27	advances	advance	NOUN
ejpam-2769	178	28	in	in	ADP
ejpam-2769	178	29	soviet	soviet	ADJ
ejpam-2769	178	30	mathematics	mathematic	NOUN
ejpam-2769	178	31	19	19	NUM
ejpam-2769	178	32	(	(	PUNCT
ejpam-2769	178	33	1994	1994	NUM
ejpam-2769	178	34	)	)	PUNCT
ejpam-2769	178	35	,	,	PUNCT
ejpam-2769	179	1	209–231	209–231	NUM
ejpam-2769	179	2	.	.	PUNCT
ejpam-2769	180	1	[	[	X
ejpam-2769	180	2	6	6	NUM
ejpam-2769	180	3	]	]	PUNCT
ejpam-2769	180	4	r.	r.	PROPN
ejpam-2769	180	5	s.	s.	PROPN
ejpam-2769	180	6	anderssen	anderssen	PROPN
ejpam-2769	180	7	:	:	PUNCT
ejpam-2769	180	8	the	the	DET
ejpam-2769	180	9	effect	effect	NOUN
ejpam-2769	180	10	of	of	ADP
ejpam-2769	180	11	discontinuous	discontinuous	ADJ
ejpam-2769	180	12	in	in	ADP
ejpam-2769	180	13	density	density	NOUN
ejpam-2769	180	14	and	and	CCONJ
ejpam-2769	180	15	shear	shear	NOUN
ejpam-2769	180	16	velocity	velocity	NOUN
ejpam-2769	180	17	on	on	ADP
ejpam-2769	180	18	the	the	DET
ejpam-2769	180	19	asymptotic	asymptotic	ADJ
ejpam-2769	180	20	overtone	overtone	ADJ
ejpam-2769	180	21	structure	structure	NOUN
ejpam-2769	180	22	of	of	ADP
ejpam-2769	180	23	torional	torional	ADJ
ejpam-2769	180	24	eigenfrequences	eigenfrequence	NOUN
ejpam-2769	180	25	of	of	ADP
ejpam-2769	180	26	the	the	DET
ejpam-2769	180	27	earth	earth	NOUN
ejpam-2769	180	28	,	,	PUNCT
ejpam-2769	180	29	geophysical	geophysical	ADJ
ejpam-2769	180	30	journal	journal	NOUN
ejpam-2769	180	31	royal	royal	PROPN
ejpam-2769	180	32	astronomical	astronomical	ADJ
ejpam-2769	180	33	society	society	NOUN
ejpam-2769	180	34	50	50	NUM
ejpam-2769	180	35	(	(	PUNCT
ejpam-2769	180	36	1997	1997	NUM
ejpam-2769	180	37	)	)	PUNCT
ejpam-2769	180	38	,	,	PUNCT
ejpam-2769	180	39	303–309	303–309	NUM
ejpam-2769	180	40	.	.	PUNCT
ejpam-2769	181	1	[	[	X
ejpam-2769	181	2	7	7	X
ejpam-2769	181	3	]	]	X
ejpam-2769	181	4	f.	f.	PROPN
ejpam-2769	181	5	r.	r.	PROPN
ejpam-2769	181	6	lapwood	lapwood	PROPN
ejpam-2769	181	7	,	,	PUNCT
ejpam-2769	181	8	t.	t.	PROPN
ejpam-2769	181	9	usami	usami	ADJ
ejpam-2769	181	10	:	:	PUNCT
ejpam-2769	181	11	free	free	ADJ
ejpam-2769	181	12	oscillation	oscillation	NOUN
ejpam-2769	181	13	of	of	ADP
ejpam-2769	181	14	the	the	DET
ejpam-2769	181	15	earth	earth	NOUN
ejpam-2769	181	16	,	,	PUNCT
ejpam-2769	181	17	cambridge	cambridge	PROPN
ejpam-2769	181	18	university	university	PROPN
ejpam-2769	181	19	press	press	NOUN
ejpam-2769	181	20	:	:	PUNCT
ejpam-2769	181	21	cambridge	cambridge	NOUN
ejpam-2769	181	22	(	(	PUNCT
ejpam-2769	181	23	1981	1981	NUM
ejpam-2769	181	24	)	)	PUNCT
ejpam-2769	181	25	.	.	PUNCT
ejpam-2769	182	1	[	[	X
ejpam-2769	182	2	8	8	NUM
ejpam-2769	182	3	]	]	X
ejpam-2769	182	4	g.	g.	PROPN
ejpam-2769	182	5	freiling	freiling	PROPN
ejpam-2769	182	6	,	,	PUNCT
ejpam-2769	182	7	v.	v.	ADP
ejpam-2769	182	8	yurko	yurko	PROPN
ejpam-2769	182	9	:	:	PUNCT
ejpam-2769	182	10	inverse	inverse	PROPN
ejpam-2769	182	11	sturm	sturm	PROPN
ejpam-2769	182	12	-	-	PUNCT
ejpam-2769	182	13	liouville	liouville	NOUN
ejpam-2769	182	14	problems	problem	NOUN
ejpam-2769	182	15	and	and	CCONJ
ejpam-2769	182	16	their	their	PRON
ejpam-2769	182	17	applications	application	NOUN
ejpam-2769	182	18	,	,	PUNCT
ejpam-2769	182	19	nova	nova	PROPN
ejpam-2769	182	20	science	science	NOUN
ejpam-2769	182	21	publishers	publisher	NOUN
ejpam-2769	182	22	,	,	PUNCT
ejpam-2769	182	23	inc	inc	PROPN
ejpam-2769	182	24	.	.	PROPN
ejpam-2769	182	25	(	(	PUNCT
ejpam-2769	182	26	2008	2008	NUM
ejpam-2769	182	27	)	)	PUNCT
ejpam-2769	182	28	.	.	PUNCT
ejpam-2769	183	1	[	[	X
ejpam-2769	183	2	9	9	NUM
ejpam-2769	183	3	]	]	X
ejpam-2769	183	4	b.	b.	PROPN
ejpam-2769	183	5	m.	m.	PROPN
ejpam-2769	183	6	levitan	levitan	PROPN
ejpam-2769	183	7	,	,	PUNCT
ejpam-2769	183	8	m.g	m.g	PROPN
ejpam-2769	183	9	.	.	PROPN
ejpam-2769	183	10	gasymov	gasymov	NOUN
ejpam-2769	183	11	:	:	PUNCT
ejpam-2769	183	12	determination	determination	NOUN
ejpam-2769	183	13	of	of	ADP
ejpam-2769	183	14	differential	differential	ADJ
ejpam-2769	183	15	operator	operator	NOUN
ejpam-2769	183	16	by	by	ADP
ejpam-2769	183	17	two	two	NUM
ejpam-2769	183	18	spectra	spectra	NOUN
ejpam-2769	183	19	,	,	PUNCT
ejpam-2769	183	20	uspekhi	uspekhi	PROPN
ejpam-2769	183	21	mat	mat	PROPN
ejpam-2769	183	22	.	.	PUNCT
ejpam-2769	183	23	nauk	nauk	PROPN
ejpam-2769	183	24	,	,	PUNCT
ejpam-2769	183	25	19	19	NUM
ejpam-2769	183	26	(	(	PUNCT
ejpam-2769	183	27	1964	1964	NUM
ejpam-2769	183	28	)	)	PUNCT
ejpam-2769	183	29	3	3	NUM
ejpam-2769	183	30	-	-	SYM
ejpam-2769	183	31	63	63	NUM
ejpam-2769	183	32	(	(	PUNCT
ejpam-2769	183	33	in	in	ADP
ejpam-2769	183	34	russian	russian	NOUN
ejpam-2769	183	35	)	)	PUNCT
ejpam-2769	183	36	.	.	PUNCT
ejpam-2769	184	1	[	[	X
ejpam-2769	184	2	10	10	NUM
ejpam-2769	184	3	]	]	X
ejpam-2769	184	4	v.	v.	ADP
ejpam-2769	184	5	a.	a.	NOUN
ejpam-2769	184	6	marchenko	marchenko	PROPN
ejpam-2769	184	7	:	:	PUNCT
ejpam-2769	184	8	strum	strum	NOUN
ejpam-2769	184	9	-	-	PUNCT
ejpam-2769	184	10	liouville	liouville	NOUN
ejpam-2769	184	11	operators	operator	NOUN
ejpam-2769	184	12	and	and	CCONJ
ejpam-2769	184	13	their	their	PRON
ejpam-2769	184	14	applications	application	NOUN
ejpam-2769	184	15	,	,	PUNCT
ejpam-2769	184	16	trans	tran	NOUN
ejpam-2769	184	17	.	.	PROPN
ejpam-2769	184	18	from	from	ADP
ejpam-2769	184	19	the	the	DET
ejpam-2769	184	20	russian	russian	NOUN
ejpam-2769	184	21	by	by	ADP
ejpam-2769	184	22	a.	a.	NOUN
ejpam-2769	184	23	iacob	iacob	NOUN
ejpam-2769	184	24	,	,	PUNCT
ejpam-2769	184	25	birkhauser	birkhaus	ADJ
ejpam-2769	184	26	verlag	verlag	PROPN
ejpam-2769	184	27	,	,	PUNCT
ejpam-2769	184	28	basel	basel	PROPN
ejpam-2769	184	29	,	,	PUNCT
ejpam-2769	184	30	boston	boston	PROPN
ejpam-2769	184	31	,	,	PUNCT
ejpam-2769	184	32	stuttgard	stuttgard	NOUN
ejpam-2769	184	33	,	,	PUNCT
ejpam-2769	184	34	(	(	PUNCT
ejpam-2769	184	35	1986	1986	NUM
ejpam-2769	184	36	)	)	PUNCT
ejpam-2769	184	37	.	.	PUNCT
ejpam-2769	185	1	[	[	X
ejpam-2769	185	2	11	11	NUM
ejpam-2769	185	3	]	]	X
ejpam-2769	185	4	b.	b.	PROPN
ejpam-2769	185	5	m.	m.	PROPN
ejpam-2769	185	6	levitan	levitan	PROPN
ejpam-2769	185	7	:	:	PUNCT
ejpam-2769	185	8	inverse	inverse	PROPN
ejpam-2769	185	9	sturm	sturm	PROPN
ejpam-2769	185	10	-	-	PUNCT
ejpam-2769	185	11	liouville	liouville	NOUN
ejpam-2769	185	12	problems	problem	NOUN
ejpam-2769	185	13	,	,	PUNCT
ejpam-2769	185	14	translated	translate	VERB
ejpam-2769	185	15	from	from	ADP
ejpam-2769	185	16	the	the	DET
ejpam-2769	185	17	russian	russian	NOUN
ejpam-2769	185	18	by	by	ADP
ejpam-2769	185	19	o.	o.	PROPN
ejpam-2769	185	20	e	e	PROPN
ejpam-2769	185	21	mov	mov	PROPN
ejpam-2769	185	22	.	.	PUNCT
ejpam-2769	186	1	vnu	vnu	PROPN
ejpam-2769	186	2	science	science	PROPN
ejpam-2769	186	3	press	press	PROPN
ejpam-2769	186	4	bv	bv	PROPN
ejpam-2769	186	5	utrecht	utrecht	PROPN
ejpam-2769	186	6	(	(	PUNCT
ejpam-2769	186	7	1987	1987	NUM
ejpam-2769	186	8	)	)	PUNCT
ejpam-2769	186	9	.	.	PUNCT
ejpam-2769	187	1	[	[	X
ejpam-2769	187	2	12	12	NUM
ejpam-2769	187	3	]	]	X
ejpam-2769	187	4	b.	b.	PROPN
ejpam-2769	187	5	m.	m.	PROPN
ejpam-2769	187	6	levitan	levitan	PROPN
ejpam-2769	187	7	,	,	PUNCT
ejpam-2769	187	8	i.	i.	PROPN
ejpam-2769	187	9	s.	s.	PROPN
ejpam-2769	187	10	sargsjan	sargsjan	PROPN
ejpam-2769	187	11	:	:	PUNCT
ejpam-2769	187	12	sturmliouville	sturmliouville	NOUN
ejpam-2769	187	13	and	and	CCONJ
ejpam-2769	187	14	dirac	dirac	PROPN
ejpam-2769	187	15	operators	operator	NOUN
ejpam-2769	187	16	,	,	PUNCT
ejpam-2769	187	17	kluwer	kluwer	PROPN
ejpam-2769	187	18	academic	academic	ADJ
ejpam-2769	187	19	publishers	publisher	NOUN
ejpam-2769	187	20	group	group	NOUN
ejpam-2769	187	21	dordrecht	dordrecht	NOUN
ejpam-2769	187	22	(	(	PUNCT
ejpam-2769	187	23	1991	1991	NUM
ejpam-2769	187	24	)	)	PUNCT
ejpam-2769	187	25	.	.	PUNCT
ejpam-2769	188	1	[	[	X
ejpam-2769	188	2	13	13	NUM
ejpam-2769	188	3	]	]	PUNCT
ejpam-2769	188	4	a.	a.	NOUN
ejpam-2769	188	5	m.	m.	NOUN
ejpam-2769	188	6	akhtyamov	akhtyamov	PROPN
ejpam-2769	188	7	:	:	PUNCT
ejpam-2769	188	8	theory	theory	NOUN
ejpam-2769	188	9	of	of	ADP
ejpam-2769	188	10	identification	identification	NOUN
ejpam-2769	188	11	of	of	ADP
ejpam-2769	188	12	boundary	boundary	ADJ
ejpam-2769	188	13	conditions	condition	NOUN
ejpam-2769	188	14	and	and	CCONJ
ejpam-2769	188	15	its	its	PRON
ejpam-2769	188	16	applications	application	NOUN
ejpam-2769	188	17	,	,	PUNCT
ejpam-2769	188	18	fizmatlit	fizmatlit	ADJ
ejpam-2769	188	19	moscow	moscow	PROPN
ejpam-2769	188	20	(	(	PUNCT
ejpam-2769	188	21	2009	2009	NUM
ejpam-2769	188	22	)	)	PUNCT
ejpam-2769	188	23	(	(	PUNCT
ejpam-2769	188	24	in	in	ADP
ejpam-2769	188	25	russian	russian	NOUN
ejpam-2769	188	26	)	)	PUNCT
ejpam-2769	188	27	.	.	PUNCT
ejpam-2769	189	1	[	[	X
ejpam-2769	189	2	14	14	NUM
ejpam-2769	189	3	]	]	X
ejpam-2769	189	4	v.	v.	ADP
ejpam-2769	189	5	a.	a.	NOUN
ejpam-2769	189	6	sadovnichy	sadovnichy	NOUN
ejpam-2769	189	7	,	,	PUNCT
ejpam-2769	189	8	y.	y.	PROPN
ejpam-2769	189	9	t.	t.	PROPN
ejpam-2769	189	10	sultanaev	sultanaev	PROPN
ejpam-2769	189	11	,	,	PUNCT
ejpam-2769	189	12	a.	a.	PROPN
ejpam-2769	189	13	m.	m.	NOUN
ejpam-2769	189	14	akhtyamov	akhtyamov	PROPN
ejpam-2769	189	15	:	:	PUNCT
ejpam-2769	189	16	inverse	inverse	PROPN
ejpam-2769	189	17	sturm	sturm	PROPN
ejpam-2769	189	18	-	-	PUNCT
ejpam-2769	189	19	liouville	liouville	NOUN
ejpam-2769	189	20	problems	problem	NOUN
ejpam-2769	189	21	with	with	ADP
ejpam-2769	189	22	nonseparated	nonseparated	ADJ
ejpam-2769	189	23	boundary	boundary	ADJ
ejpam-2769	189	24	conditions	condition	NOUN
ejpam-2769	189	25	,	,	PUNCT
ejpam-2769	189	26	msu	msu	PROPN
ejpam-2769	189	27	,	,	PUNCT
ejpam-2769	189	28	moscow	moscow	PROPN
ejpam-2769	189	29	.	.	PUNCT
ejpam-2769	190	1	(	(	PUNCT
ejpam-2769	190	2	2009	2009	NUM
ejpam-2769	190	3	)	)	PUNCT
ejpam-2769	190	4	.	.	PUNCT
ejpam-2769	191	1	[	[	X
ejpam-2769	191	2	15	15	X
ejpam-2769	191	3	]	]	X
ejpam-2769	191	4	v.	v.	ADP
ejpam-2769	191	5	a.	a.	NOUN
ejpam-2769	191	6	yurko	yurko	PROPN
ejpam-2769	191	7	:	:	PUNCT
ejpam-2769	191	8	inverse	inverse	ADJ
ejpam-2769	191	9	spectral	spectral	ADJ
ejpam-2769	191	10	problems	problem	NOUN
ejpam-2769	191	11	and	and	CCONJ
ejpam-2769	191	12	their	their	PRON
ejpam-2769	191	13	applications	application	NOUN
ejpam-2769	191	14	,	,	PUNCT
ejpam-2769	191	15	saratov	saratov	NOUN
ejpam-2769	191	16	(	(	PUNCT
ejpam-2769	191	17	2001	2001	NUM
ejpam-2769	191	18	)	)	PUNCT
ejpam-2769	191	19	(	(	PUNCT
ejpam-2769	191	20	in	in	ADP
ejpam-2769	191	21	russian	russian	NOUN
ejpam-2769	191	22	)	)	PUNCT
ejpam-2769	191	23	.	.	PUNCT
ejpam-2769	192	1	references	reference	NOUN
ejpam-2769	192	2	543	543	NUM
ejpam-2769	192	3	[	[	X
ejpam-2769	192	4	16	16	NUM
ejpam-2769	192	5	]	]	X
ejpam-2769	192	6	n.	n.	PROPN
ejpam-2769	192	7	j.	j.	PROPN
ejpam-2769	192	8	guliyev	guliyev	PROPN
ejpam-2769	192	9	:	:	PUNCT
ejpam-2769	192	10	inverse	inverse	PROPN
ejpam-2769	192	11	eigenvalue	eigenvalue	PROPN
ejpam-2769	192	12	for	for	ADP
ejpam-2769	192	13	sturm	sturm	NOUN
ejpam-2769	192	14	-	-	PUNCT
ejpam-2769	192	15	liouville	liouville	NOUN
ejpam-2769	192	16	equations	equation	NOUN
ejpam-2769	192	17	with	with	ADP
ejpam-2769	192	18	spectral	spectral	ADJ
ejpam-2769	192	19	parameter	parameter	NOUN
ejpam-2769	192	20	linearly	linearly	ADV
ejpam-2769	192	21	contained	contain	VERB
ejpam-2769	192	22	in	in	ADP
ejpam-2769	192	23	one	one	NUM
ejpam-2769	192	24	of	of	ADP
ejpam-2769	192	25	the	the	DET
ejpam-2769	192	26	boundary	boundary	ADJ
ejpam-2769	192	27	conditions	condition	NOUN
ejpam-2769	192	28	,	,	PUNCT
ejpam-2769	192	29	inverse	inverse	NOUN
ejpam-2769	192	30	problems	problem	NOUN
ejpam-2769	192	31	,	,	PUNCT
ejpam-2769	192	32	21(2005	21(2005	NUM
ejpam-2769	192	33	)	)	PUNCT
ejpam-2769	192	34	,	,	PUNCT
ejpam-2769	192	35	1315	1315	NUM
ejpam-2769	192	36	-	-	SYM
ejpam-2769	192	37	1330	1330	NUM
ejpam-2769	192	38	.	.	PUNCT
ejpam-2769	193	1	[	[	X
ejpam-2769	193	2	17	17	NUM
ejpam-2769	193	3	]	]	X
ejpam-2769	193	4	e.	e.	PROPN
ejpam-2769	193	5	n.	n.	PROPN
ejpam-2769	193	6	akhmedova	akhmedova	PROPN
ejpam-2769	193	7	:	:	PUNCT
ejpam-2769	193	8	on	on	ADP
ejpam-2769	193	9	representation	representation	NOUN
ejpam-2769	193	10	of	of	ADP
ejpam-2769	193	11	solution	solution	NOUN
ejpam-2769	193	12	of	of	ADP
ejpam-2769	193	13	sturm	sturm	NOUN
ejpam-2769	193	14	-	-	PUNCT
ejpam-2769	193	15	liouville	liouville	NOUN
ejpam-2769	193	16	equation	equation	NOUN
ejpam-2769	193	17	with	with	ADP
ejpam-2769	193	18	discontinuous	discontinuous	ADJ
ejpam-2769	193	19	coefficients	coefficient	NOUN
ejpam-2769	193	20	,	,	PUNCT
ejpam-2769	193	21	proceedings	proceeding	NOUN
ejpam-2769	193	22	of	of	ADP
ejpam-2769	193	23	imm	imm	NOUN
ejpam-2769	193	24	of	of	ADP
ejpam-2769	193	25	nas	nas	PROPN
ejpam-2769	193	26	of	of	ADP
ejpam-2769	193	27	azerbaijan	azerbaijan	PROPN
ejpam-2769	193	28	xvi	xvi	PROPN
ejpam-2769	193	29	xxiv	xxiv	PROPN
ejpam-2769	193	30	(	(	PUNCT
ejpam-2769	193	31	2002	2002	NUM
ejpam-2769	193	32	)	)	PUNCT
ejpam-2769	193	33	,	,	PUNCT
ejpam-2769	193	34	5–9	5–9	NOUN
ejpam-2769	193	35	.	.	PUNCT
ejpam-2769	194	1	[	[	X
ejpam-2769	194	2	18	18	NUM
ejpam-2769	194	3	]	]	X
ejpam-2769	194	4	e.	e.	PROPN
ejpam-2769	194	5	n.	n.	PROPN
ejpam-2769	194	6	akhmedova	akhmedova	PROPN
ejpam-2769	194	7	,	,	PUNCT
ejpam-2769	194	8	i.	i.	PROPN
ejpam-2769	194	9	m.	m.	PROPN
ejpam-2769	194	10	huseynov	huseynov	PROPN
ejpam-2769	194	11	:	:	PUNCT
ejpam-2769	194	12	on	on	ADP
ejpam-2769	194	13	solution	solution	NOUN
ejpam-2769	194	14	of	of	ADP
ejpam-2769	194	15	the	the	DET
ejpam-2769	194	16	inverse	inverse	NOUN
ejpam-2769	194	17	sturm	sturm	NOUN
ejpam-2769	194	18	-	-	PUNCT
ejpam-2769	194	19	liouville	liouville	NOUN
ejpam-2769	194	20	problem	problem	NOUN
ejpam-2769	194	21	with	with	ADP
ejpam-2769	194	22	discontinuous	discontinuous	ADJ
ejpam-2769	194	23	coefficient	coefficient	NOUN
ejpam-2769	194	24	,	,	PUNCT
ejpam-2769	194	25	proceedings	proceeding	NOUN
ejpam-2769	194	26	of	of	ADP
ejpam-2769	194	27	imm	imm	NOUN
ejpam-2769	194	28	of	of	ADP
ejpam-2769	194	29	nas	nas	PROPN
ejpam-2769	194	30	of	of	ADP
ejpam-2769	194	31	azerbaijan	azerbaijan	PROPN
ejpam-2769	194	32	,	,	PUNCT
ejpam-2769	194	33	(	(	PUNCT
ejpam-2769	194	34	2007	2007	NUM
ejpam-2769	194	35	)	)	PUNCT
ejpam-2769	194	36	,	,	PUNCT
ejpam-2769	194	37	33–44	33–44	NUM
ejpam-2769	194	38	.	.	PUNCT
ejpam-2769	195	1	[	[	X
ejpam-2769	195	2	19	19	NUM
ejpam-2769	195	3	]	]	X
ejpam-2769	195	4	d.	d.	PROPN
ejpam-2769	195	5	karahan	karahan	PROPN
ejpam-2769	195	6	,	,	PUNCT
ejpam-2769	195	7	kh	kh	PROPN
ejpam-2769	195	8	.	.	PUNCT
ejpam-2769	195	9	r.	r.	PROPN
ejpam-2769	195	10	mamedov	mamedov	PROPN
ejpam-2769	195	11	:	:	PUNCT
ejpam-2769	195	12	uniqueness	uniqueness	NOUN
ejpam-2769	195	13	of	of	ADP
ejpam-2769	195	14	the	the	DET
ejpam-2769	195	15	solution	solution	NOUN
ejpam-2769	195	16	of	of	ADP
ejpam-2769	195	17	the	the	DET
ejpam-2769	195	18	inverse	inverse	NOUN
ejpam-2769	195	19	problem	problem	NOUN
ejpam-2769	195	20	for	for	ADP
ejpam-2769	195	21	one	one	NUM
ejpam-2769	195	22	class	class	NOUN
ejpam-2769	195	23	of	of	ADP
ejpam-2769	195	24	sturm	sturm	PROPN
ejpam-2769	195	25	-	-	PUNCT
ejpam-2769	195	26	liouville	liouville	NOUN
ejpam-2769	195	27	operator	operator	NOUN
ejpam-2769	195	28	,	,	PUNCT
ejpam-2769	195	29	proceedings	proceeding	NOUN
ejpam-2769	195	30	of	of	ADP
ejpam-2769	195	31	imm	imm	NOUN
ejpam-2769	195	32	of	of	ADP
ejpam-2769	195	33	nas	nas	PROPN
ejpam-2769	195	34	of	of	ADP
ejpam-2769	195	35	azerbaijan	azerbaijan	PROPN
ejpam-2769	195	36	,	,	PUNCT
ejpam-2769	195	37	40	40	NUM
ejpam-2769	195	38	special	special	ADJ
ejpam-2769	195	39	issue	issue	NOUN
ejpam-2769	195	40	(	(	PUNCT
ejpam-2769	195	41	2014	2014	NUM
ejpam-2769	195	42	)	)	PUNCT
ejpam-2769	195	43	,	,	PUNCT
ejpam-2769	195	44	233	233	NUM
ejpam-2769	195	45	-	-	SYM
ejpam-2769	195	46	244	244	NUM
ejpam-2769	195	47	.	.	PUNCT
ejpam-2769	196	1	[	[	X
ejpam-2769	196	2	20	20	NUM
ejpam-2769	196	3	]	]	X
ejpam-2769	196	4	kh	kh	PROPN
ejpam-2769	196	5	.	.	PUNCT
ejpam-2769	196	6	r.	r.	PROPN
ejpam-2769	196	7	mamedov	mamedov	PROPN
ejpam-2769	196	8	,	,	PUNCT
ejpam-2769	196	9	d.	d.	PROPN
ejpam-2769	196	10	karahan	karahan	PROPN
ejpam-2769	196	11	:	:	PUNCT
ejpam-2769	196	12	on	on	ADP
ejpam-2769	196	13	an	an	DET
ejpam-2769	196	14	inverse	inverse	ADJ
ejpam-2769	196	15	spectral	spectral	ADJ
ejpam-2769	196	16	problem	problem	NOUN
ejpam-2769	196	17	for	for	ADP
ejpam-2769	196	18	sturm	sturm	PROPN
ejpam-2769	196	19	liouville	liouville	NOUN
ejpam-2769	196	20	operator	operator	NOUN
ejpam-2769	196	21	with	with	ADP
ejpam-2769	196	22	discontinuous	discontinuous	ADJ
ejpam-2769	196	23	coefficient	coefficient	NOUN
ejpam-2769	196	24	,	,	PUNCT
ejpam-2769	196	25	ufimsk	ufimsk	PROPN
ejpam-2769	196	26	.	.	PUNCT
ejpam-2769	197	1	mat	mat	PROPN
ejpam-2769	197	2	.	.	PUNCT
ejpam-2769	198	1	zh	zh	PROPN
ejpam-2769	198	2	.	.	PROPN
ejpam-2769	198	3	,7	,7	PUNCT
ejpam-2769	198	4	3	3	NUM
ejpam-2769	198	5	(	(	PUNCT
ejpam-2769	198	6	2015	2015	NUM
ejpam-2769	198	7	)	)	PUNCT
ejpam-2769	198	8	,	,	PUNCT
ejpam-2769	198	9	125	125	NUM
ejpam-2769	198	10	-	-	SYM
ejpam-2769	198	11	137	137	NUM
ejpam-2769	198	12	.	.	PUNCT
ejpam-2769	199	1	[	[	X
ejpam-2769	199	2	21	21	NUM
ejpam-2769	199	3	]	]	X
ejpam-2769	199	4	kh	kh	PROPN
ejpam-2769	199	5	.	.	PUNCT
ejpam-2769	199	6	r.	r.	PROPN
ejpam-2769	199	7	mamedov	mamedov	PROPN
ejpam-2769	199	8	,	,	PUNCT
ejpam-2769	199	9	d.	d.	PROPN
ejpam-2769	199	10	karahan	karahan	PROPN
ejpam-2769	199	11	:	:	PUNCT
ejpam-2769	199	12	on	on	ADP
ejpam-2769	199	13	the	the	DET
ejpam-2769	199	14	main	main	ADJ
ejpam-2769	199	15	equation	equation	NOUN
ejpam-2769	199	16	of	of	ADP
ejpam-2769	199	17	inverse	inverse	NOUN
ejpam-2769	199	18	sturm	sturm	PROPN
ejpam-2769	199	19	-	-	PUNCT
ejpam-2769	199	20	liouville	liouville	NOUN
ejpam-2769	199	21	operator	operator	NOUN
ejpam-2769	199	22	with	with	ADP
ejpam-2769	199	23	discontinuous	discontinuous	ADJ
ejpam-2769	199	24	coefficient	coefficient	NOUN
ejpam-2769	199	25	,	,	PUNCT
ejpam-2769	199	26	arxiv	arxiv	PROPN
ejpam-2769	199	27	:	:	PUNCT
ejpam-2769	199	28	1508.06626	1508.06626	NUM
ejpam-2769	199	29	(	(	PUNCT
ejpam-2769	199	30	2015	2015	NUM
ejpam-2769	199	31	)	)	PUNCT
ejpam-2769	199	32	.	.	PUNCT
ejpam-2769	200	1	[	[	X
ejpam-2769	200	2	22	22	NUM
ejpam-2769	200	3	]	]	X
ejpam-2769	200	4	kh	kh	PROPN
ejpam-2769	200	5	.	.	PUNCT
ejpam-2769	200	6	r.	r.	PROPN
ejpam-2769	200	7	mamedov	mamedov	PROPN
ejpam-2769	200	8	,	,	PUNCT
ejpam-2769	200	9	f.	f.	PROPN
ejpam-2769	200	10	a.	a.	PROPN
ejpam-2769	200	11	cetinkaya	cetinkaya	PROPN
ejpam-2769	200	12	:	:	PUNCT
ejpam-2769	200	13	an	an	DET
ejpam-2769	200	14	uniqueness	uniqueness	NOUN
ejpam-2769	200	15	theorem	theorem	VERB
ejpam-2769	200	16	for	for	ADP
ejpam-2769	200	17	a	a	DET
ejpam-2769	200	18	sturm	sturm	NOUN
ejpam-2769	200	19	-	-	PUNCT
ejpam-2769	200	20	liouville	liouville	NOUN
ejpam-2769	200	21	equation	equation	NOUN
ejpam-2769	200	22	with	with	ADP
ejpam-2769	200	23	spectral	spectral	ADJ
ejpam-2769	200	24	parameter	parameter	NOUN
ejpam-2769	200	25	in	in	ADP
ejpam-2769	200	26	boundary	boundary	ADJ
ejpam-2769	200	27	conditions	condition	NOUN
ejpam-2769	200	28	,	,	PUNCT
ejpam-2769	200	29	appl	appl	PROPN
ejpam-2769	200	30	.	.	PROPN
ejpam-2769	200	31	math	math	PROPN
ejpam-2769	200	32	.	.	PUNCT
ejpam-2769	200	33	inf	inf	PROPN
ejpam-2769	200	34	.	.	PUNCT
ejpam-2769	201	1	sci	sci	PROPN
ejpam-2769	201	2	.	.	PROPN
ejpam-2769	202	1	2	2	NUM
ejpam-2769	202	2	9	9	NUM
ejpam-2769	202	3	(	(	PUNCT
ejpam-2769	202	4	2015	2015	NUM
ejpam-2769	202	5	)	)	PUNCT
ejpam-2769	202	6	,	,	PUNCT
ejpam-2769	202	7	981	981	NUM
ejpam-2769	202	8	-	-	SYM
ejpam-2769	202	9	988	988	NUM
ejpam-2769	202	10	.	.	PUNCT
ejpam-2769	203	1	[	[	X
ejpam-2769	203	2	23	23	NUM
ejpam-2769	203	3	]	]	X
ejpam-2769	203	4	kh	kh	PROPN
ejpam-2769	203	5	.	.	PUNCT
ejpam-2769	203	6	r.	r.	PROPN
ejpam-2769	203	7	mamedov	mamedov	PROPN
ejpam-2769	203	8	,	,	PUNCT
ejpam-2769	203	9	f.	f.	PROPN
ejpam-2769	203	10	a.	a.	PROPN
ejpam-2769	203	11	cetinkaya	cetinkaya	PROPN
ejpam-2769	203	12	:	:	PUNCT
ejpam-2769	203	13	inverse	inverse	NOUN
ejpam-2769	203	14	problem	problem	NOUN
ejpam-2769	203	15	for	for	ADP
ejpam-2769	203	16	a	a	DET
ejpam-2769	203	17	class	class	NOUN
ejpam-2769	203	18	sturm	sturm	NOUN
ejpam-2769	203	19	-	-	PUNCT
ejpam-2769	203	20	liouville	liouville	NOUN
ejpam-2769	203	21	operator	operator	NOUN
ejpam-2769	203	22	with	with	ADP
ejpam-2769	203	23	spectral	spectral	ADJ
ejpam-2769	203	24	parameter	parameter	NOUN
ejpam-2769	203	25	in	in	ADP
ejpam-2769	203	26	boundary	boundary	ADJ
ejpam-2769	203	27	condition	condition	NOUN
ejpam-2769	203	28	,	,	PUNCT
ejpam-2769	203	29	boundary	boundary	ADJ
ejpam-2769	203	30	value	value	NOUN
ejpam-2769	203	31	problems	problem	NOUN
ejpam-2769	203	32	(	(	PUNCT
ejpam-2769	203	33	2013	2013	NUM
ejpam-2769	203	34	)	)	PUNCT
ejpam-2769	203	35	,	,	PUNCT
ejpam-2769	203	36	2013:183	2013:183	NUM
ejpam-2769	203	37	,	,	PUNCT
ejpam-2769	203	38	doi:10.1186/1687	doi:10.1186/1687	NOUN
ejpam-2769	203	39	-	-	PUNCT
ejpam-2769	203	40	2772013	2772013	NUM
ejpam-2769	203	41	-	-	SYM
ejpam-2769	203	42	183	183	NUM
ejpam-2769	203	43	.	.	PUNCT