id	sid	tid	token	lemma	pos
ejpam-3382	1	1	european	european	PROPN
ejpam-3382	1	2	journal	journal	PROPN
ejpam-3382	1	3	of	of	ADP
ejpam-3382	1	4	pure	pure	ADJ
ejpam-3382	1	5	and	and	CCONJ
ejpam-3382	1	6	applied	apply	VERB
ejpam-3382	1	7	mathematics	mathematic	NOUN
ejpam-3382	1	8	vol	vol	NOUN
ejpam-3382	1	9	.	.	PROPN
ejpam-3382	2	1	12	12	NUM
ejpam-3382	2	2	,	,	PUNCT
ejpam-3382	2	3	no	no	INTJ
ejpam-3382	2	4	.	.	NOUN
ejpam-3382	2	5	2	2	NUM
ejpam-3382	2	6	,	,	PUNCT
ejpam-3382	2	7	2019	2019	NUM
ejpam-3382	2	8	,	,	PUNCT
ejpam-3382	2	9	577	577	NUM
ejpam-3382	2	10	-	-	SYM
ejpam-3382	2	11	589	589	NUM
ejpam-3382	2	12	issn	issn	PROPN
ejpam-3382	2	13	1307	1307	NUM
ejpam-3382	2	14	-	-	SYM
ejpam-3382	2	15	5543	5543	NUM
ejpam-3382	2	16	–	–	PUNCT
ejpam-3382	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3382	2	18	published	publish	VERB
ejpam-3382	2	19	by	by	ADP
ejpam-3382	2	20	new	new	PROPN
ejpam-3382	2	21	york	york	PROPN
ejpam-3382	2	22	business	business	PROPN
ejpam-3382	2	23	global	global	PROPN
ejpam-3382	2	24	on	on	ADP
ejpam-3382	2	25	the	the	DET
ejpam-3382	2	26	existence	existence	NOUN
ejpam-3382	2	27	of	of	ADP
ejpam-3382	2	28	solution	solution	NOUN
ejpam-3382	2	29	to	to	ADP
ejpam-3382	2	30	multidimensional	multidimensional	ADJ
ejpam-3382	2	31	third	third	ADJ
ejpam-3382	2	32	order	order	NOUN
ejpam-3382	2	33	nonlinear	nonlinear	ADJ
ejpam-3382	2	34	equations	equation	NOUN
ejpam-3382	2	35	samed	same	VERB
ejpam-3382	2	36	j.aliyev1,∗	j.aliyev1,∗	NOUN
ejpam-3382	2	37	,	,	PUNCT
ejpam-3382	2	38	arzu	arzu	VERB
ejpam-3382	2	39	q.aliyeva2	q.aliyeva2	PROPN
ejpam-3382	2	40	,	,	PUNCT
ejpam-3382	2	41	goncha	goncha	PROPN
ejpam-3382	2	42	z.	z.	PROPN
ejpam-3382	2	43	abdullayeva1	abdullayeva1	PROPN
ejpam-3382	2	44	1	1	NUM
ejpam-3382	2	45	department	department	NOUN
ejpam-3382	2	46	of	of	ADP
ejpam-3382	2	47	mathematics	mathematic	NOUN
ejpam-3382	2	48	and	and	CCONJ
ejpam-3382	2	49	methodology	methodology	NOUN
ejpam-3382	2	50	of	of	ADP
ejpam-3382	2	51	its	its	PRON
ejpam-3382	2	52	teaching	teaching	NOUN
ejpam-3382	2	53	,	,	PUNCT
ejpam-3382	2	54	baku	baku	PROPN
ejpam-3382	2	55	state	state	PROPN
ejpam-3382	2	56	university	university	PROPN
ejpam-3382	2	57	,	,	PUNCT
ejpam-3382	2	58	z.khalilov	z.khalilov	PROPN
ejpam-3382	2	59	str.23	str.23	NOUN
ejpam-3382	2	60	,	,	PUNCT
ejpam-3382	2	61	az1148	az1148	PROPN
ejpam-3382	2	62	,	,	PUNCT
ejpam-3382	2	63	baku	baku	PROPN
ejpam-3382	2	64	,	,	PUNCT
ejpam-3382	2	65	azerbaijan	azerbaijan	PROPN
ejpam-3382	2	66	2	2	NUM
ejpam-3382	2	67	department	department	NOUN
ejpam-3382	2	68	of	of	ADP
ejpam-3382	2	69	differential	differential	ADJ
ejpam-3382	2	70	equations	equation	NOUN
ejpam-3382	2	71	,	,	PUNCT
ejpam-3382	2	72	institute	institute	NOUN
ejpam-3382	2	73	of	of	ADP
ejpam-3382	2	74	mathematics	mathematics	PROPN
ejpam-3382	2	75	and	and	CCONJ
ejpam-3382	2	76	mechanics	mechanic	NOUN
ejpam-3382	2	77	,	,	PUNCT
ejpam-3382	2	78	azerbaijan	azerbaijan	PROPN
ejpam-3382	2	79	national	national	PROPN
ejpam-3382	2	80	academy	academy	PROPN
ejpam-3382	2	81	of	of	ADP
ejpam-3382	2	82	sciences	sciences	PROPN
ejpam-3382	2	83	,	,	PUNCT
ejpam-3382	2	84	b.vahabzade	b.vahabzade	NOUN
ejpam-3382	2	85	str.9	str.9	PROPN
ejpam-3382	2	86	,	,	PUNCT
ejpam-3382	2	87	az1141	az1141	ADJ
ejpam-3382	2	88	,	,	PUNCT
ejpam-3382	2	89	baku	baku	PROPN
ejpam-3382	2	90	,	,	PUNCT
ejpam-3382	2	91	azerbaijan	azerbaijan	PROPN
ejpam-3382	2	92	abstract	abstract	NOUN
ejpam-3382	2	93	.	.	PUNCT
ejpam-3382	3	1	in	in	ADP
ejpam-3382	3	2	this	this	DET
ejpam-3382	3	3	paper	paper	NOUN
ejpam-3382	3	4	,	,	PUNCT
ejpam-3382	3	5	we	we	PRON
ejpam-3382	3	6	prove	prove	VERB
ejpam-3382	3	7	existence	existence	NOUN
ejpam-3382	3	8	of	of	ADP
ejpam-3382	3	9	an	an	DET
ejpam-3382	3	10	almost	almost	ADV
ejpam-3382	3	11	everywhere	everywhere	ADJ
ejpam-3382	3	12	solution	solution	NOUN
ejpam-3382	3	13	to	to	ADP
ejpam-3382	3	14	mixed	mixed	ADJ
ejpam-3382	3	15	problem	problem	NOUN
ejpam-3382	3	16	for	for	ADP
ejpam-3382	3	17	a	a	DET
ejpam-3382	3	18	class	class	NOUN
ejpam-3382	3	19	of	of	ADP
ejpam-3382	3	20	third	third	ADJ
ejpam-3382	3	21	order	order	NOUN
ejpam-3382	3	22	differential	differential	ADJ
ejpam-3382	3	23	equations	equation	NOUN
ejpam-3382	3	24	by	by	ADP
ejpam-3382	3	25	non	non	ADJ
ejpam-3382	3	26	-	-	ADJ
ejpam-3382	3	27	zero	zero	NUM
ejpam-3382	3	28	rotation	rotation	NOUN
ejpam-3382	3	29	principle	principle	NOUN
ejpam-3382	3	30	.	.	PUNCT
ejpam-3382	4	1	also	also	ADV
ejpam-3382	4	2	studied	study	VERB
ejpam-3382	4	3	the	the	DET
ejpam-3382	4	4	correctness	correctness	NOUN
ejpam-3382	4	5	of	of	ADP
ejpam-3382	4	6	the	the	DET
ejpam-3382	4	7	formulation	formulation	NOUN
ejpam-3382	4	8	of	of	ADP
ejpam-3382	4	9	the	the	DET
ejpam-3382	4	10	considered	consider	VERB
ejpam-3382	4	11	problem	problem	NOUN
ejpam-3382	4	12	.	.	PUNCT
ejpam-3382	5	1	2010	2010	NUM
ejpam-3382	5	2	mathematics	mathematic	NOUN
ejpam-3382	5	3	subject	subject	NOUN
ejpam-3382	5	4	classifications	classification	NOUN
ejpam-3382	5	5	:	:	PUNCT
ejpam-3382	5	6	35l76	35l76	NUM
ejpam-3382	5	7	,	,	PUNCT
ejpam-3382	5	8	35l82	35l82	NUM
ejpam-3382	5	9	.	.	PUNCT
ejpam-3382	6	1	key	key	ADJ
ejpam-3382	6	2	words	word	NOUN
ejpam-3382	6	3	and	and	CCONJ
ejpam-3382	6	4	phrases	phrase	NOUN
ejpam-3382	6	5	:	:	PUNCT
ejpam-3382	6	6	nonlinear	nonlinear	ADJ
ejpam-3382	6	7	operator	operator	NOUN
ejpam-3382	6	8	,	,	PUNCT
ejpam-3382	6	9	continuously	continuously	ADV
ejpam-3382	6	10	differentiable	differentiable	VERB
ejpam-3382	6	11	,	,	PUNCT
ejpam-3382	6	12	correct	correct	ADJ
ejpam-3382	6	13	formulation	formulation	NOUN
ejpam-3382	6	14	.	.	PUNCT
ejpam-3382	7	1	1	1	X
ejpam-3382	7	2	.	.	X
ejpam-3382	7	3	introduction	introduction	NOUN
ejpam-3382	7	4	the	the	DET
ejpam-3382	7	5	paper	paper	NOUN
ejpam-3382	7	6	is	be	AUX
ejpam-3382	7	7	devoted	devote	VERB
ejpam-3382	7	8	to	to	ADP
ejpam-3382	7	9	the	the	DET
ejpam-3382	7	10	problem	problem	NOUN
ejpam-3382	7	11	of	of	ADP
ejpam-3382	7	12	existence	existence	NOUN
ejpam-3382	7	13	of	of	ADP
ejpam-3382	7	14	almost	almost	ADV
ejpam-3382	7	15	everywhere	everywhere	ADV
ejpam-3382	7	16	solution	solution	NOUN
ejpam-3382	7	17	and	and	CCONJ
ejpam-3382	7	18	correctness	correctness	NOUN
ejpam-3382	7	19	of	of	ADP
ejpam-3382	7	20	the	the	DET
ejpam-3382	7	21	formulation	formulation	NOUN
ejpam-3382	7	22	to	to	ADP
ejpam-3382	7	23	the	the	DET
ejpam-3382	7	24	following	follow	VERB
ejpam-3382	7	25	multidimensional	multidimensional	ADJ
ejpam-3382	7	26	mixed	mixed	ADJ
ejpam-3382	7	27	problem	problem	NOUN
ejpam-3382	7	28	for	for	ADP
ejpam-3382	7	29	the	the	DET
ejpam-3382	7	30	third	third	ADJ
ejpam-3382	7	31	order	order	NOUN
ejpam-3382	7	32	nonlinear	nonlinear	ADJ
ejpam-3382	7	33	equation	equation	NOUN
ejpam-3382	7	34	:	:	PUNCT
ejpam-3382	7	35	∂2u(t	∂2u(t	NUM
ejpam-3382	7	36	,	,	PUNCT
ejpam-3382	7	37	x	x	X
ejpam-3382	7	38	)	)	PUNCT
ejpam-3382	7	39	∂t2	∂t2	NOUN
ejpam-3382	7	40	−	−	PROPN
ejpam-3382	7	41	∂	∂	NOUN
ejpam-3382	7	42	∂t	∂t	PROPN
ejpam-3382	7	43	l(u(t	l(u(t	PROPN
ejpam-3382	7	44	,	,	PUNCT
ejpam-3382	7	45	x	x	NOUN
ejpam-3382	7	46	)	)	PUNCT
ejpam-3382	7	47	)	)	PUNCT
ejpam-3382	8	1	=	=	SYM
ejpam-3382	8	2	f(u(t	f(u(t	PROPN
ejpam-3382	8	3	,	,	PUNCT
ejpam-3382	8	4	x	x	NOUN
ejpam-3382	8	5	)	)	PUNCT
ejpam-3382	8	6	)	)	PUNCT
ejpam-3382	9	1	(	(	PUNCT
ejpam-3382	9	2	t	t	PROPN
ejpam-3382	9	3	∈	∈	PROPN
ejpam-3382	10	1	[	[	X
ejpam-3382	10	2	0	0	NUM
ejpam-3382	10	3	,	,	PUNCT
ejpam-3382	10	4	t	t	X
ejpam-3382	10	5	]	]	PUNCT
ejpam-3382	10	6	,	,	PUNCT
ejpam-3382	10	7	x	x	SYM
ejpam-3382	10	8	∈	∈	PROPN
ejpam-3382	10	9	ω	ω	NUM
ejpam-3382	10	10	)	)	PUNCT
ejpam-3382	10	11	,	,	PUNCT
ejpam-3382	10	12	(	(	PUNCT
ejpam-3382	10	13	1	1	X
ejpam-3382	10	14	)	)	PUNCT
ejpam-3382	10	15	u(0	u(0	NOUN
ejpam-3382	10	16	,	,	PUNCT
ejpam-3382	10	17	x	x	NOUN
ejpam-3382	10	18	)	)	PUNCT
ejpam-3382	10	19	=	=	SYM
ejpam-3382	10	20	ϕ(x	ϕ(x	PROPN
ejpam-3382	10	21	)	)	PUNCT
ejpam-3382	10	22	(	(	PUNCT
ejpam-3382	10	23	x	x	SYM
ejpam-3382	10	24	∈	∈	PROPN
ejpam-3382	10	25	ω	ω	NUM
ejpam-3382	10	26	)	)	PUNCT
ejpam-3382	10	27	,	,	PUNCT
ejpam-3382	10	28	ut(0	ut(0	PROPN
ejpam-3382	10	29	,	,	PUNCT
ejpam-3382	10	30	x	x	NOUN
ejpam-3382	10	31	)	)	PUNCT
ejpam-3382	10	32	=	=	SYM
ejpam-3382	10	33	ψ(x	ψ(x	NOUN
ejpam-3382	10	34	)	)	PUNCT
ejpam-3382	10	35	(	(	PUNCT
ejpam-3382	10	36	x	x	SYM
ejpam-3382	10	37	∈	∈	PROPN
ejpam-3382	10	38	ω	ω	NUM
ejpam-3382	10	39	)	)	PUNCT
ejpam-3382	10	40	,	,	PUNCT
ejpam-3382	10	41	(	(	PUNCT
ejpam-3382	10	42	2	2	X
ejpam-3382	10	43	)	)	PUNCT
ejpam-3382	10	44	u(t	u(t	NOUN
ejpam-3382	10	45	,	,	PUNCT
ejpam-3382	10	46	x)|γ	x)|γ	X
ejpam-3382	10	47	=	=	SYM
ejpam-3382	10	48	0	0	PROPN
ejpam-3382	10	49	,	,	PUNCT
ejpam-3382	10	50	(	(	PUNCT
ejpam-3382	10	51	3	3	X
ejpam-3382	10	52	)	)	PUNCT
ejpam-3382	10	53	where	where	SCONJ
ejpam-3382	10	54	0	0	NUM
ejpam-3382	10	55	<	<	X
ejpam-3382	10	56	t	t	X
ejpam-3382	10	57	<	<	X
ejpam-3382	10	58	+	+	PROPN
ejpam-3382	10	59	∞	∞	NOUN
ejpam-3382	10	60	;	;	PUNCT
ejpam-3382	10	61	x	x	SYM
ejpam-3382	10	62	=	=	SYM
ejpam-3382	10	63	(	(	PUNCT
ejpam-3382	10	64	x1	x1	PROPN
ejpam-3382	10	65	,	,	PUNCT
ejpam-3382	10	66	...	...	PUNCT
ejpam-3382	10	67	,	,	PUNCT
ejpam-3382	10	68	xn	xn	PROPN
ejpam-3382	10	69	)	)	PUNCT
ejpam-3382	10	70	,	,	PUNCT
ejpam-3382	10	71	ω	ω	PROPN
ejpam-3382	10	72	is	be	AUX
ejpam-3382	10	73	a	a	DET
ejpam-3382	10	74	bounded	bounded	ADJ
ejpam-3382	10	75	n	n	CCONJ
ejpam-3382	10	76	dimensional	dimensional	ADJ
ejpam-3382	10	77	domain	domain	NOUN
ejpam-3382	10	78	with	with	ADP
ejpam-3382	10	79	an	an	DET
ejpam-3382	10	80	enough	enough	ADJ
ejpam-3382	10	81	smooth	smooth	ADJ
ejpam-3382	10	82	boundary	boundary	ADJ
ejpam-3382	10	83	s	s	NOUN
ejpam-3382	10	84	;	;	PUNCT
ejpam-3382	10	85	γ	γ	X
ejpam-3382	10	86	=	=	PUNCT
ejpam-3382	11	1	[	[	X
ejpam-3382	11	2	0	0	NUM
ejpam-3382	11	3	,	,	PUNCT
ejpam-3382	11	4	t	t	X
ejpam-3382	11	5	]	]	X
ejpam-3382	11	6	×	×	PROPN
ejpam-3382	11	7	s	s	X
ejpam-3382	11	8	;	;	PUNCT
ejpam-3382	11	9	l(u(t	l(u(t	PROPN
ejpam-3382	11	10	,	,	PUNCT
ejpam-3382	11	11	x	x	NOUN
ejpam-3382	11	12	)	)	PUNCT
ejpam-3382	11	13	)	)	PUNCT
ejpam-3382	12	1	=	=	PUNCT
ejpam-3382	13	1	n∑	n∑	NOUN
ejpam-3382	13	2	i	i	PRON
ejpam-3382	13	3	,	,	PUNCT
ejpam-3382	13	4	j=1	j=1	PROPN
ejpam-3382	13	5	∂	∂	NUM
ejpam-3382	13	6	∂xi	∂xi	NOUN
ejpam-3382	13	7	(	(	PUNCT
ejpam-3382	13	8	aij(x	aij(x	PROPN
ejpam-3382	13	9	)	)	PUNCT
ejpam-3382	13	10	∂u(t	∂u(t	PROPN
ejpam-3382	13	11	,	,	PUNCT
ejpam-3382	13	12	x	x	NOUN
ejpam-3382	13	13	)	)	PUNCT
ejpam-3382	13	14	∂xj	∂xj	NOUN
ejpam-3382	13	15	)	)	PUNCT
ejpam-3382	14	1	−	−	NOUN
ejpam-3382	14	2	a(x)u(t	a(x)u(t	NOUN
ejpam-3382	14	3	,	,	PUNCT
ejpam-3382	14	4	x	x	NOUN
ejpam-3382	14	5	)	)	PUNCT
ejpam-3382	14	6	,	,	PUNCT
ejpam-3382	14	7	(	(	PUNCT
ejpam-3382	14	8	4	4	X
ejpam-3382	14	9	)	)	PUNCT
ejpam-3382	14	10	∗corresponding	∗corresponde	VERB
ejpam-3382	14	11	author	author	NOUN
ejpam-3382	14	12	.	.	PUNCT
ejpam-3382	15	1	doi	doi	NOUN
ejpam-3382	15	2	:	:	PUNCT
ejpam-3382	15	3	https://doi.org/10.29020/nybg.ejpam.v12i2.3382	https://doi.org/10.29020/nybg.ejpam.v12i2.3382	NOUN
ejpam-3382	15	4	email	email	NOUN
ejpam-3382	15	5	addresses	address	NOUN
ejpam-3382	15	6	:	:	PUNCT
ejpam-3382	15	7	samed59@bk.ru	samed59@bk.ru	PROPN
ejpam-3382	15	8	(	(	PUNCT
ejpam-3382	15	9	samed	samed	PROPN
ejpam-3382	15	10	j.aliyev	j.aliyev	NOUN
ejpam-3382	15	11	)	)	PUNCT
ejpam-3382	15	12	,	,	PUNCT
ejpam-3382	15	13	arzu.aliyeva@bk.ru	arzu.aliyeva@bk.ru	PRON
ejpam-3382	15	14	(	(	PUNCT
ejpam-3382	15	15	arzu	arzu	NOUN
ejpam-3382	15	16	q.aliyeva	q.aliyeva	PRON
ejpam-3382	15	17	)	)	PUNCT
ejpam-3382	15	18	,	,	PUNCT
ejpam-3382	15	19	a.q.z.41@mail.ru	a.q.z.41@mail.ru	PROPN
ejpam-3382	15	20	(	(	PUNCT
ejpam-3382	15	21	goncha	goncha	PROPN
ejpam-3382	15	22	z.	z.	PROPN
ejpam-3382	15	23	abdullayeva	abdullayeva	PROPN
ejpam-3382	15	24	)	)	PUNCT
ejpam-3382	15	25	.	.	PUNCT
ejpam-3382	16	1	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3382	17	1	577	577	NUM
ejpam-3382	17	2	c	c	X
ejpam-3382	17	3	©	©	PROPN
ejpam-3382	17	4	2019	2019	NUM
ejpam-3382	17	5	ejpam	ejpam	NOUN
ejpam-3382	17	6	all	all	DET
ejpam-3382	17	7	rights	right	NOUN
ejpam-3382	17	8	reserved	reserve	VERB
ejpam-3382	17	9	.	.	PUNCT
ejpam-3382	18	1	s.	s.	PROPN
ejpam-3382	18	2	j.aliyev	j.aliyev	PROPN
ejpam-3382	18	3	,	,	PUNCT
ejpam-3382	18	4	a.	a.	PROPN
ejpam-3382	18	5	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	18	6	,	,	PUNCT
ejpam-3382	18	7	g.	g.	PROPN
ejpam-3382	18	8	z.	z.	PROPN
ejpam-3382	18	9	abdullayeva	abdullayeva	PROPN
ejpam-3382	18	10	/	/	SYM
ejpam-3382	18	11	eur	eur	PROPN
ejpam-3382	18	12	.	.	PUNCT
ejpam-3382	19	1	j.	j.	PROPN
ejpam-3382	19	2	pure	pure	PROPN
ejpam-3382	19	3	appl	appl	PROPN
ejpam-3382	19	4	.	.	PROPN
ejpam-3382	19	5	math	math	PROPN
ejpam-3382	19	6	,	,	PUNCT
ejpam-3382	19	7	12	12	NUM
ejpam-3382	19	8	(	(	PUNCT
ejpam-3382	19	9	2	2	NUM
ejpam-3382	19	10	)	)	PUNCT
ejpam-3382	19	11	(	(	PUNCT
ejpam-3382	19	12	2019	2019	NUM
ejpam-3382	19	13	)	)	PUNCT
ejpam-3382	19	14	,	,	PUNCT
ejpam-3382	19	15	577	577	NUM
ejpam-3382	19	16	-	-	SYM
ejpam-3382	19	17	589	589	NUM
ejpam-3382	19	18	578	578	NUM
ejpam-3382	19	19	functions	function	NOUN
ejpam-3382	19	20	aij(x	aij(x	NOUN
ejpam-3382	19	21	)	)	PUNCT
ejpam-3382	19	22	(	(	PUNCT
ejpam-3382	19	23	i	i	PROPN
ejpam-3382	19	24	,	,	PUNCT
ejpam-3382	19	25	j	j	PROPN
ejpam-3382	19	26	=	=	SYM
ejpam-3382	19	27	1	1	NUM
ejpam-3382	19	28	,	,	PUNCT
ejpam-3382	19	29	n	n	CCONJ
ejpam-3382	19	30	)	)	PUNCT
ejpam-3382	19	31	and	and	CCONJ
ejpam-3382	19	32	a(x	a(x	PROPN
ejpam-3382	19	33	)	)	PUNCT
ejpam-3382	19	34	are	be	AUX
ejpam-3382	19	35	measurable	measurable	ADJ
ejpam-3382	19	36	,	,	PUNCT
ejpam-3382	19	37	and	and	CCONJ
ejpam-3382	19	38	bounded	bound	VERB
ejpam-3382	19	39	in	in	ADP
ejpam-3382	19	40	ω	ω	PROPN
ejpam-3382	19	41	and	and	CCONJ
ejpam-3382	19	42	satisfy	satisfy	VERB
ejpam-3382	19	43	in	in	ADP
ejpam-3382	19	44	ω	ω	NUM
ejpam-3382	19	45	the	the	DET
ejpam-3382	19	46	following	following	ADJ
ejpam-3382	19	47	conditions	condition	NOUN
ejpam-3382	19	48	:	:	PUNCT
ejpam-3382	19	49	aij(x	aij(x	X
ejpam-3382	19	50	)	)	PUNCT
ejpam-3382	19	51	=	=	SYM
ejpam-3382	19	52	aji(x	aji(x	PROPN
ejpam-3382	19	53	)	)	PUNCT
ejpam-3382	19	54	,	,	PUNCT
ejpam-3382	19	55	a(x	a(x	PROPN
ejpam-3382	19	56	)	)	PUNCT
ejpam-3382	19	57	≥	≥	NOUN
ejpam-3382	19	58	0	0	NUM
ejpam-3382	19	59	,	,	PUNCT
ejpam-3382	19	60	n∑	n∑	NOUN
ejpam-3382	19	61	i	i	PRON
ejpam-3382	19	62	,	,	PUNCT
ejpam-3382	19	63	j=1	j=1	PROPN
ejpam-3382	19	64	aij(x)ξiξj	aij(x)ξiξj	PROPN
ejpam-3382	19	65	≥	≥	PROPN
ejpam-3382	19	66	α	α	X
ejpam-3382	19	67	·	·	PUNCT
ejpam-3382	20	1	n∑	n∑	NOUN
ejpam-3382	20	2	i=1	i=1	PROPN
ejpam-3382	21	1	ξ2	ξ2	NOUN
ejpam-3382	21	2	i	i	PRON
ejpam-3382	21	3	(	(	PUNCT
ejpam-3382	21	4	α	α	NOUN
ejpam-3382	21	5	=	=	PUNCT
ejpam-3382	21	6	const	const	X
ejpam-3382	21	7	>	>	X
ejpam-3382	21	8	0	0	NUM
ejpam-3382	21	9	)	)	PUNCT
ejpam-3382	21	10	where	where	SCONJ
ejpam-3382	21	11	ξi	ξi	NOUN
ejpam-3382	21	12	(	(	PUNCT
ejpam-3382	21	13	i	i	NOUN
ejpam-3382	21	14	=	=	NOUN
ejpam-3382	21	15	1	1	NUM
ejpam-3382	21	16	,	,	PUNCT
ejpam-3382	21	17	2	2	NUM
ejpam-3382	21	18	,	,	PUNCT
ejpam-3382	21	19	.	.	PUNCT
ejpam-3382	21	20	.	.	PUNCT
ejpam-3382	21	21	.	.	PUNCT
ejpam-3382	21	22	,	,	PUNCT
ejpam-3382	21	23	n	n	CCONJ
ejpam-3382	21	24	)	)	PUNCT
ejpam-3382	21	25	are	be	AUX
ejpam-3382	21	26	arbitrary	arbitrary	ADJ
ejpam-3382	21	27	real	real	ADJ
ejpam-3382	21	28	numbers	number	NOUN
ejpam-3382	21	29	;	;	PUNCT
ejpam-3382	21	30	ϕ	ϕ	NOUN
ejpam-3382	21	31	,	,	PUNCT
ejpam-3382	21	32	ψ	ψ	X
ejpam-3382	21	33	are	be	AUX
ejpam-3382	21	34	the	the	DET
ejpam-3382	21	35	given	give	VERB
ejpam-3382	21	36	functions	function	NOUN
ejpam-3382	21	37	;	;	PUNCT
ejpam-3382	21	38	f	f	PROPN
ejpam-3382	21	39	is	be	AUX
ejpam-3382	21	40	some	some	PRON
ejpam-3382	21	41	,	,	PUNCT
ejpam-3382	21	42	generally	generally	ADV
ejpam-3382	21	43	speaking	speak	VERB
ejpam-3382	21	44	,	,	PUNCT
ejpam-3382	21	45	nonlinear	nonlinear	ADJ
ejpam-3382	21	46	operator	operator	NOUN
ejpam-3382	21	47	,	,	PUNCT
ejpam-3382	21	48	and	and	CCONJ
ejpam-3382	21	49	u(t	u(t	NOUN
ejpam-3382	21	50	,	,	PUNCT
ejpam-3382	21	51	x	x	X
ejpam-3382	21	52	)	)	PUNCT
ejpam-3382	21	53	is	be	AUX
ejpam-3382	21	54	a	a	DET
ejpam-3382	21	55	sought	seek	VERB
ejpam-3382	21	56	function	function	NOUN
ejpam-3382	21	57	.	.	PUNCT
ejpam-3382	22	1	note	note	VERB
ejpam-3382	22	2	that	that	SCONJ
ejpam-3382	22	3	the	the	DET
ejpam-3382	22	4	results	result	NOUN
ejpam-3382	22	5	of	of	ADP
ejpam-3382	22	6	this	this	DET
ejpam-3382	22	7	work	work	NOUN
ejpam-3382	22	8	improve	improve	VERB
ejpam-3382	22	9	the	the	DET
ejpam-3382	22	10	results	result	NOUN
ejpam-3382	22	11	of	of	ADP
ejpam-3382	22	12	our	our	PRON
ejpam-3382	22	13	article	article	NOUN
ejpam-3382	22	14	[	[	X
ejpam-3382	22	15	1	1	NUM
ejpam-3382	22	16	]	]	PUNCT
ejpam-3382	22	17	.	.	PUNCT
ejpam-3382	23	1	there	there	PRON
ejpam-3382	23	2	have	have	AUX
ejpam-3382	23	3	been	be	AUX
ejpam-3382	23	4	many	many	ADJ
ejpam-3382	23	5	works	work	NOUN
ejpam-3382	23	6	devoted	devote	VERB
ejpam-3382	23	7	to	to	ADP
ejpam-3382	23	8	the	the	DET
ejpam-3382	23	9	study	study	NOUN
ejpam-3382	23	10	of	of	ADP
ejpam-3382	23	11	mixed	mixed	ADJ
ejpam-3382	23	12	problems	problem	NOUN
ejpam-3382	23	13	for	for	ADP
ejpam-3382	23	14	nonlinear	nonlinear	ADJ
ejpam-3382	23	15	third	third	ADJ
ejpam-3382	23	16	order	order	NOUN
ejpam-3382	23	17	equations	equation	NOUN
ejpam-3382	23	18	(	(	PUNCT
ejpam-3382	23	19	see	see	VERB
ejpam-3382	23	20	[	[	X
ejpam-3382	23	21	2	2	NUM
ejpam-3382	23	22	,	,	PUNCT
ejpam-3382	23	23	3	3	NUM
ejpam-3382	23	24	,	,	PUNCT
ejpam-3382	23	25	5	5	NUM
ejpam-3382	23	26	,	,	PUNCT
ejpam-3382	23	27	8	8	NUM
ejpam-3382	23	28	,	,	PUNCT
ejpam-3382	23	29	10	10	NUM
ejpam-3382	23	30	,	,	PUNCT
ejpam-3382	23	31	12	12	NUM
ejpam-3382	23	32	]	]	PUNCT
ejpam-3382	23	33	and	and	CCONJ
ejpam-3382	23	34	references	reference	NOUN
ejpam-3382	23	35	therein	therein	ADV
ejpam-3382	23	36	)	)	PUNCT
ejpam-3382	23	37	,	,	PUNCT
ejpam-3382	23	38	where	where	SCONJ
ejpam-3382	23	39	the	the	DET
ejpam-3382	23	40	problem	problem	NOUN
ejpam-3382	23	41	of	of	ADP
ejpam-3382	23	42	existence	existence	NOUN
ejpam-3382	23	43	and	and	CCONJ
ejpam-3382	23	44	uniqueness	uniqueness	NOUN
ejpam-3382	23	45	in	in	ADP
ejpam-3382	23	46	appropriate	appropriate	ADJ
ejpam-3382	23	47	spaces	space	NOUN
ejpam-3382	23	48	,	,	PUNCT
ejpam-3382	23	49	the	the	DET
ejpam-3382	23	50	problem	problem	NOUN
ejpam-3382	23	51	of	of	ADP
ejpam-3382	23	52	blow	blow	NOUN
ejpam-3382	23	53	up	up	ADP
ejpam-3382	23	54	of	of	ADP
ejpam-3382	23	55	solutions	solution	NOUN
ejpam-3382	23	56	and	and	CCONJ
ejpam-3382	23	57	the	the	DET
ejpam-3382	23	58	problems	problem	NOUN
ejpam-3382	23	59	of	of	ADP
ejpam-3382	23	60	asymptotic	asymptotic	ADJ
ejpam-3382	23	61	behavior	behavior	NOUN
ejpam-3382	23	62	of	of	ADP
ejpam-3382	23	63	solutions	solution	NOUN
ejpam-3382	23	64	are	be	AUX
ejpam-3382	23	65	studied	study	VERB
ejpam-3382	23	66	.	.	PUNCT
ejpam-3382	24	1	as	as	ADV
ejpam-3382	24	2	well	well	ADV
ejpam-3382	24	3	as	as	SCONJ
ejpam-3382	24	4	we	we	PRON
ejpam-3382	24	5	know	know	VERB
ejpam-3382	24	6	the	the	DET
ejpam-3382	24	7	equations	equation	NOUN
ejpam-3382	24	8	considered	consider	VERB
ejpam-3382	24	9	in	in	ADP
ejpam-3382	24	10	previous	previous	ADJ
ejpam-3382	24	11	publications	publication	NOUN
ejpam-3382	24	12	do	do	AUX
ejpam-3382	24	13	not	not	PART
ejpam-3382	24	14	cover	cover	VERB
ejpam-3382	24	15	the	the	DET
ejpam-3382	24	16	class	class	NOUN
ejpam-3382	24	17	of	of	ADP
ejpam-3382	24	18	equations	equation	NOUN
ejpam-3382	24	19	we	we	PRON
ejpam-3382	24	20	study	study	VERB
ejpam-3382	24	21	.	.	PUNCT
ejpam-3382	25	1	considered	consider	VERB
ejpam-3382	25	2	by	by	ADP
ejpam-3382	25	3	us	us	PROPN
ejpam-3382	25	4	equations	equation	NOUN
ejpam-3382	25	5	appear	appear	VERB
ejpam-3382	25	6	in	in	ADP
ejpam-3382	25	7	modeling	model	VERB
ejpam-3382	25	8	dynamical	dynamical	ADJ
ejpam-3382	25	9	processes	process	NOUN
ejpam-3382	25	10	,	,	PUNCT
ejpam-3382	25	11	in	in	ADP
ejpam-3382	25	12	elasticity	elasticity	NOUN
ejpam-3382	25	13	theory	theory	NOUN
ejpam-3382	25	14	and	and	CCONJ
ejpam-3382	25	15	in	in	ADP
ejpam-3382	25	16	modeling	model	VERB
ejpam-3382	25	17	dynamics	dynamic	NOUN
ejpam-3382	25	18	of	of	ADP
ejpam-3382	25	19	shallow	shallow	ADJ
ejpam-3382	25	20	water	water	NOUN
ejpam-3382	25	21	waves	wave	NOUN
ejpam-3382	25	22	(	(	PUNCT
ejpam-3382	25	23	see	see	VERB
ejpam-3382	25	24	[	[	X
ejpam-3382	25	25	7,11	7,11	NOUN
ejpam-3382	25	26	]	]	PUNCT
ejpam-3382	25	27	)	)	PUNCT
ejpam-3382	25	28	.	.	PUNCT
ejpam-3382	26	1	2	2	X
ejpam-3382	26	2	.	.	X
ejpam-3382	26	3	auxiliaries	auxiliary	NOUN
ejpam-3382	26	4	in	in	ADP
ejpam-3382	26	5	what	what	PRON
ejpam-3382	26	6	follows	follow	VERB
ejpam-3382	26	7	we	we	PRON
ejpam-3382	26	8	are	be	AUX
ejpam-3382	26	9	using	use	VERB
ejpam-3382	26	10	the	the	DET
ejpam-3382	26	11	following	follow	VERB
ejpam-3382	26	12	notations	notation	NOUN
ejpam-3382	26	13	and	and	CCONJ
ejpam-3382	26	14	facts	fact	NOUN
ejpam-3382	26	15	.	.	PUNCT
ejpam-3382	27	1	1	1	X
ejpam-3382	27	2	.	.	X
ejpam-3382	27	3	we	we	PRON
ejpam-3382	27	4	denote	denote	VERB
ejpam-3382	27	5	by	by	ADP
ejpam-3382	27	6	ḋ(ω	ḋ(ω	PROPN
ejpam-3382	27	7	)	)	PUNCT
ejpam-3382	27	8	the	the	DET
ejpam-3382	27	9	class	class	NOUN
ejpam-3382	27	10	of	of	ADP
ejpam-3382	27	11	all	all	DET
ejpam-3382	27	12	continuously	continuously	ADV
ejpam-3382	27	13	differentiable	differentiable	ADJ
ejpam-3382	27	14	functions	function	NOUN
ejpam-3382	27	15	on	on	ADP
ejpam-3382	27	16	ω	ω	NUM
ejpam-3382	27	17	which	which	PRON
ejpam-3382	27	18	vanished	vanish	VERB
ejpam-3382	27	19	near	near	ADP
ejpam-3382	27	20	the	the	DET
ejpam-3382	27	21	boundary	boundary	NOUN
ejpam-3382	27	22	of	of	ADP
ejpam-3382	27	23	ω	ω	PROPN
ejpam-3382	27	24	.	.	PUNCT
ejpam-3382	28	1	the	the	DET
ejpam-3382	28	2	closure	closure	NOUN
ejpam-3382	28	3	of	of	ADP
ejpam-3382	28	4	ḋ(ω	ḋ(ω	NOUN
ejpam-3382	28	5	)	)	PUNCT
ejpam-3382	28	6	with	with	ADP
ejpam-3382	28	7	respect	respect	NOUN
ejpam-3382	28	8	to	to	ADP
ejpam-3382	28	9	the	the	DET
ejpam-3382	28	10	norm	norm	NOUN
ejpam-3382	28	11	of	of	ADP
ejpam-3382	28	12	w	w	PROPN
ejpam-3382	28	13	1	1	NUM
ejpam-3382	28	14	2	2	NUM
ejpam-3382	28	15	(	(	PUNCT
ejpam-3382	28	16	ω	ω	NOUN
ejpam-3382	28	17	)	)	PUNCT
ejpam-3382	28	18	we	we	PRON
ejpam-3382	28	19	denote	denote	VERB
ejpam-3382	28	20	by	by	ADP
ejpam-3382	28	21	◦	◦	NOUN
ejpam-3382	28	22	d(ω	d(ω	PROPN
ejpam-3382	28	23	)	)	PUNCT
ejpam-3382	28	24	.	.	PUNCT
ejpam-3382	29	1	hence	hence	ADV
ejpam-3382	29	2	◦	◦	VERB
ejpam-3382	29	3	d(ω	d(ω	PROPN
ejpam-3382	29	4	)	)	PUNCT
ejpam-3382	30	1	⊂w	⊂w	PROPN
ejpam-3382	30	2	1	1	NUM
ejpam-3382	30	3	2	2	NUM
ejpam-3382	30	4	(	(	PUNCT
ejpam-3382	30	5	ω	ω	NOUN
ejpam-3382	30	6	)	)	PUNCT
ejpam-3382	30	7	.	.	PUNCT
ejpam-3382	31	1	denote	denote	VERB
ejpam-3382	31	2	ḋ1(qt	ḋ1(qt	PROPN
ejpam-3382	31	3	)	)	PUNCT
ejpam-3382	32	1	(	(	PUNCT
ejpam-3382	32	2	qt	qt	PROPN
ejpam-3382	32	3	≡	≡	PROPN
ejpam-3382	32	4	[	[	X
ejpam-3382	32	5	0	0	NUM
ejpam-3382	32	6	,	,	PUNCT
ejpam-3382	32	7	t	t	X
ejpam-3382	32	8	]	]	PUNCT
ejpam-3382	32	9	×ω	×ω	ADV
ejpam-3382	32	10	)	)	PUNCT
ejpam-3382	32	11	the	the	DET
ejpam-3382	32	12	class	class	NOUN
ejpam-3382	32	13	of	of	ADP
ejpam-3382	32	14	all	all	DET
ejpam-3382	32	15	continuously	continuously	ADV
ejpam-3382	32	16	differentiable	differentiable	ADJ
ejpam-3382	32	17	functions	function	NOUN
ejpam-3382	32	18	on	on	ADP
ejpam-3382	32	19	the	the	DET
ejpam-3382	32	20	cylinder	cylinder	NOUN
ejpam-3382	32	21	qt	qt	NOUN
ejpam-3382	32	22	are	be	AUX
ejpam-3382	32	23	equal	equal	ADJ
ejpam-3382	32	24	to	to	ADP
ejpam-3382	32	25	zero	zero	NUM
ejpam-3382	32	26	in	in	ADP
ejpam-3382	32	27	the	the	DET
ejpam-3382	32	28	δ	δ	PROPN
ejpam-3382	32	29	neighborhood	neighborhood	NOUN
ejpam-3382	32	30	of	of	ADP
ejpam-3382	32	31	the	the	DET
ejpam-3382	32	32	lateral	lateral	ADJ
ejpam-3382	32	33	surface	surface	NOUN
ejpam-3382	32	34	on	on	ADP
ejpam-3382	32	35	the	the	DET
ejpam-3382	32	36	cylinder	cylinder	NOUN
ejpam-3382	32	37	qt	qt	NOUN
ejpam-3382	32	38	,	,	PUNCT
ejpam-3382	32	39	having	have	VERB
ejpam-3382	32	40	the	the	DET
ejpam-3382	32	41	form	form	NOUN
ejpam-3382	32	42	:	:	PUNCT
ejpam-3382	32	43	qt	qt	NOUN
ejpam-3382	32	44	,	,	PUNCT
ejpam-3382	32	45	δ	δ	PROPN
ejpam-3382	32	46	≡	≡	PROPN
ejpam-3382	33	1	[	[	X
ejpam-3382	33	2	0	0	NUM
ejpam-3382	33	3	,	,	PUNCT
ejpam-3382	33	4	t	t	PROPN
ejpam-3382	33	5	]	]	PUNCT
ejpam-3382	33	6	×	×	NOUN
ejpam-3382	33	7	ωδ	ωδ	INTJ
ejpam-3382	33	8	where	where	SCONJ
ejpam-3382	33	9	ωδ	ωδ	ADV
ejpam-3382	33	10	is	be	AUX
ejpam-3382	33	11	a	a	DET
ejpam-3382	33	12	δ	δ	PROPN
ejpam-3382	33	13	neighborhood	neighborhood	NOUN
ejpam-3382	33	14	of	of	ADP
ejpam-3382	33	15	the	the	DET
ejpam-3382	33	16	boundary	boundary	NOUN
ejpam-3382	33	17	of	of	ADP
ejpam-3382	33	18	ω	ω	PROPN
ejpam-3382	33	19	.	.	PUNCT
ejpam-3382	34	1	the	the	DET
ejpam-3382	34	2	closure	closure	NOUN
ejpam-3382	34	3	of	of	ADP
ejpam-3382	34	4	ḋ1(qt	ḋ1(qt	NOUN
ejpam-3382	34	5	)	)	PUNCT
ejpam-3382	34	6	with	with	ADP
ejpam-3382	34	7	respect	respect	NOUN
ejpam-3382	34	8	to	to	ADP
ejpam-3382	34	9	the	the	DET
ejpam-3382	34	10	norm	norm	NOUN
ejpam-3382	34	11	of	of	ADP
ejpam-3382	34	12	w	w	PROPN
ejpam-3382	34	13	1	1	NUM
ejpam-3382	34	14	2	2	NUM
ejpam-3382	34	15	(	(	PUNCT
ejpam-3382	34	16	qt	qt	NOUN
ejpam-3382	34	17	)	)	PUNCT
ejpam-3382	34	18	we	we	PRON
ejpam-3382	34	19	denote	denote	VERB
ejpam-3382	34	20	by	by	ADP
ejpam-3382	34	21	◦	◦	NOUN
ejpam-3382	34	22	d1(qt	d1(qt	PROPN
ejpam-3382	34	23	)	)	PUNCT
ejpam-3382	34	24	.	.	PUNCT
ejpam-3382	35	1	hence	hence	ADV
ejpam-3382	35	2	◦	◦	PROPN
ejpam-3382	35	3	d1(qt	d1(qt	PROPN
ejpam-3382	35	4	)	)	PUNCT
ejpam-3382	36	1	⊂w	⊂w	PROPN
ejpam-3382	36	2	1	1	NUM
ejpam-3382	36	3	2	2	NUM
ejpam-3382	36	4	(	(	PUNCT
ejpam-3382	36	5	qt	qt	NOUN
ejpam-3382	36	6	)	)	PUNCT
ejpam-3382	36	7	.	.	PUNCT
ejpam-3382	37	1	definition	definition	NOUN
ejpam-3382	37	2	.	.	PUNCT
ejpam-3382	38	1	the	the	DET
ejpam-3382	38	2	function	function	NOUN
ejpam-3382	38	3	u(t	u(t	NOUN
ejpam-3382	38	4	,	,	PUNCT
ejpam-3382	38	5	x	x	X
ejpam-3382	38	6	)	)	PUNCT
ejpam-3382	38	7	∈	∈	PROPN
ejpam-3382	38	8	◦	◦	NOUN
ejpam-3382	38	9	d1(qt	d1(qt	PROPN
ejpam-3382	38	10	)	)	PUNCT
ejpam-3382	38	11	belonging	belong	VERB
ejpam-3382	38	12	to	to	ADP
ejpam-3382	38	13	the	the	DET
ejpam-3382	38	14	space	space	NOUN
ejpam-3382	38	15	l2(qt	l2(qt	PROPN
ejpam-3382	38	16	)	)	PUNCT
ejpam-3382	38	17	together	together	ADV
ejpam-3382	38	18	with	with	ADP
ejpam-3382	38	19	all	all	DET
ejpam-3382	38	20	its	its	PRON
ejpam-3382	38	21	derivatives	derivative	NOUN
ejpam-3382	38	22	ut(t	ut(t	ADV
ejpam-3382	38	23	,	,	PUNCT
ejpam-3382	38	24	x),uxi(t	x),uxi(t	PROPN
ejpam-3382	38	25	,	,	PUNCT
ejpam-3382	38	26	x	x	X
ejpam-3382	38	27	)	)	PUNCT
ejpam-3382	38	28	(	(	PUNCT
ejpam-3382	38	29	i	i	NOUN
ejpam-3382	38	30	=	=	NOUN
ejpam-3382	38	31	1	1	NUM
ejpam-3382	38	32	,	,	PUNCT
ejpam-3382	38	33	n	n	CCONJ
ejpam-3382	38	34	)	)	PUNCT
ejpam-3382	38	35	,	,	PUNCT
ejpam-3382	38	36	utxi(t	utxi(t	ADP
ejpam-3382	38	37	,	,	PUNCT
ejpam-3382	38	38	x	x	PRON
ejpam-3382	38	39	)	)	PUNCT
ejpam-3382	38	40	(	(	PUNCT
ejpam-3382	38	41	i	i	NOUN
ejpam-3382	38	42	=	=	NOUN
ejpam-3382	38	43	1	1	NUM
ejpam-3382	38	44	,	,	PUNCT
ejpam-3382	38	45	n	n	CCONJ
ejpam-3382	38	46	)	)	PUNCT
ejpam-3382	38	47	,	,	PUNCT
ejpam-3382	38	48	uxixj	uxixj	PROPN
ejpam-3382	38	49	(	(	PUNCT
ejpam-3382	38	50	t	t	PROPN
ejpam-3382	38	51	,	,	PUNCT
ejpam-3382	38	52	x	x	NOUN
ejpam-3382	38	53	)	)	PUNCT
ejpam-3382	38	54	(	(	PUNCT
ejpam-3382	38	55	i	i	PROPN
ejpam-3382	38	56	,	,	PUNCT
ejpam-3382	38	57	j	j	PROPN
ejpam-3382	38	58	=	=	SYM
ejpam-3382	38	59	1	1	NUM
ejpam-3382	38	60	,	,	PUNCT
ejpam-3382	38	61	n	n	CCONJ
ejpam-3382	38	62	)	)	PUNCT
ejpam-3382	38	63	,	,	PUNCT
ejpam-3382	38	64	utt(t	utt(t	PROPN
ejpam-3382	38	65	,	,	PUNCT
ejpam-3382	38	66	x	x	NOUN
ejpam-3382	38	67	)	)	PUNCT
ejpam-3382	38	68	,	,	PUNCT
ejpam-3382	38	69	utxixj	utxixj	ADJ
ejpam-3382	38	70	(	(	PUNCT
ejpam-3382	38	71	t	t	PROPN
ejpam-3382	38	72	,	,	PUNCT
ejpam-3382	38	73	x	x	NOUN
ejpam-3382	38	74	)	)	PUNCT
ejpam-3382	38	75	(	(	PUNCT
ejpam-3382	38	76	i	i	PROPN
ejpam-3382	38	77	,	,	PUNCT
ejpam-3382	38	78	j	j	PROPN
ejpam-3382	38	79	=	=	SYM
ejpam-3382	38	80	1	1	NUM
ejpam-3382	38	81	,	,	PUNCT
ejpam-3382	38	82	n	n	CCONJ
ejpam-3382	38	83	)	)	PUNCT
ejpam-3382	38	84	satisfying	satisfy	VERB
ejpam-3382	38	85	equation	equation	NOUN
ejpam-3382	38	86	(	(	PUNCT
ejpam-3382	38	87	1	1	X
ejpam-3382	38	88	)	)	PUNCT
ejpam-3382	38	89	almost	almost	ADV
ejpam-3382	38	90	everywhere	everywhere	ADV
ejpam-3382	38	91	in	in	ADP
ejpam-3382	38	92	qt	qt	NOUN
ejpam-3382	38	93	and	and	CCONJ
ejpam-3382	38	94	taking	take	VERB
ejpam-3382	38	95	initial	initial	ADJ
ejpam-3382	38	96	values	value	NOUN
ejpam-3382	38	97	(	(	PUNCT
ejpam-3382	38	98	2	2	NUM
ejpam-3382	38	99	)	)	PUNCT
ejpam-3382	38	100	almost	almost	ADV
ejpam-3382	38	101	everywhere	everywhere	ADV
ejpam-3382	38	102	in	in	ADP
ejpam-3382	38	103	ω	ω	PROPN
ejpam-3382	38	104	is	be	AUX
ejpam-3382	38	105	called	call	VERB
ejpam-3382	38	106	an	an	DET
ejpam-3382	38	107	almost	almost	ADV
ejpam-3382	38	108	everywhere	everywhere	ADJ
ejpam-3382	38	109	solution	solution	NOUN
ejpam-3382	38	110	of	of	ADP
ejpam-3382	38	111	the	the	DET
ejpam-3382	38	112	problem	problem	NOUN
ejpam-3382	38	113	(	(	PUNCT
ejpam-3382	38	114	1)-(3	1)-(3	NUM
ejpam-3382	38	115	)	)	PUNCT
ejpam-3382	38	116	.	.	PUNCT
ejpam-3382	39	1	2	2	X
ejpam-3382	39	2	.	.	X
ejpam-3382	39	3	for	for	ADP
ejpam-3382	39	4	investigation	investigation	NOUN
ejpam-3382	39	5	of	of	ADP
ejpam-3382	39	6	the	the	DET
ejpam-3382	39	7	problem	problem	NOUN
ejpam-3382	39	8	(	(	PUNCT
ejpam-3382	39	9	1)-(3	1)-(3	NUM
ejpam-3382	39	10	)	)	PUNCT
ejpam-3382	39	11	we	we	PRON
ejpam-3382	39	12	recall	recall	VERB
ejpam-3382	39	13	one	one	NUM
ejpam-3382	39	14	property	property	NOUN
ejpam-3382	39	15	of	of	ADP
ejpam-3382	39	16	the	the	DET
ejpam-3382	39	17	operator	operator	NOUN
ejpam-3382	39	18	l	l	NOUN
ejpam-3382	39	19	,	,	PUNCT
ejpam-3382	39	20	generating	generate	VERB
ejpam-3382	39	21	by	by	ADP
ejpam-3382	39	22	the	the	DET
ejpam-3382	39	23	differential	differential	ADJ
ejpam-3382	39	24	expression	expression	NOUN
ejpam-3382	39	25	(	(	PUNCT
ejpam-3382	39	26	4	4	NUM
ejpam-3382	39	27	)	)	PUNCT
ejpam-3382	39	28	and	and	CCONJ
ejpam-3382	39	29	boundary	boundary	ADJ
ejpam-3382	39	30	condition	condition	NOUN
ejpam-3382	39	31	(	(	PUNCT
ejpam-3382	39	32	3	3	NUM
ejpam-3382	39	33	):	):	PUNCT
ejpam-3382	39	34	there	there	PRON
ejpam-3382	39	35	are	be	VERB
ejpam-3382	39	36	denumerable	denumerable	ADJ
ejpam-3382	39	37	number	number	NOUN
ejpam-3382	39	38	of	of	ADP
ejpam-3382	39	39	negative	negative	ADJ
ejpam-3382	39	40	eigenvalues	eigenvalue	NOUN
ejpam-3382	39	41	0	0	PUNCT
ejpam-3382	39	42	>	>	X
ejpam-3382	39	43	−λ2	−λ2	NOUN
ejpam-3382	39	44	1	1	NUM
ejpam-3382	39	45	≥	≥	NOUN
ejpam-3382	39	46	−λ2	−λ2	NOUN
ejpam-3382	39	47	2	2	NUM
ejpam-3382	39	48	≥	≥	NOUN
ejpam-3382	39	49	...	...	PUNCT
ejpam-3382	40	1	≥	≥	X
ejpam-3382	41	1	−λ2	−λ2	NOUN
ejpam-3382	41	2	s	s	PRON
ejpam-3382	41	3	≥	≥	NOUN
ejpam-3382	41	4	...	...	PUNCT
ejpam-3382	41	5	,	,	PUNCT
ejpam-3382	41	6	(	(	PUNCT
ejpam-3382	41	7	0	0	NUM
ejpam-3382	41	8	<	<	X
ejpam-3382	41	9	λs	λs	X
ejpam-3382	41	10	→	→	SYM
ejpam-3382	41	11	+	+	ADJ
ejpam-3382	41	12	∞	∞	PROPN
ejpam-3382	41	13	as	as	ADP
ejpam-3382	41	14	s→∞	s→∞	NUM
ejpam-3382	41	15	)	)	PUNCT
ejpam-3382	41	16	with	with	ADP
ejpam-3382	41	17	the	the	DET
ejpam-3382	41	18	corresponding	corresponding	ADJ
ejpam-3382	41	19	generalized	generalize	VERB
ejpam-3382	41	20	eigenfunctions	eigenfunction	NOUN
ejpam-3382	41	21	vs(x	vs(x	NOUN
ejpam-3382	41	22	)	)	PUNCT
ejpam-3382	41	23	which	which	PRON
ejpam-3382	41	24	are	be	AUX
ejpam-3382	41	25	complete	complete	ADJ
ejpam-3382	41	26	and	and	CCONJ
ejpam-3382	41	27	orthonormal	orthonormal	ADJ
ejpam-3382	41	28	in	in	ADP
ejpam-3382	41	29	l2(ω	l2(ω	NOUN
ejpam-3382	41	30	)	)	PUNCT
ejpam-3382	41	31	.	.	PUNCT
ejpam-3382	42	1	we	we	PRON
ejpam-3382	42	2	call	call	VERB
ejpam-3382	42	3	function	function	NOUN
ejpam-3382	42	4	vs(x	vs(x	PUNCT
ejpam-3382	42	5	)	)	PUNCT
ejpam-3382	43	1	∈	∈	PROPN
ejpam-3382	43	2	◦	◦	NOUN
ejpam-3382	43	3	d(ω	d(ω	PROPN
ejpam-3382	43	4	)	)	PUNCT
ejpam-3382	43	5	a	a	DET
ejpam-3382	43	6	generalized	generalized	ADJ
ejpam-3382	43	7	eigenfunction	eigenfunction	NOUN
ejpam-3382	43	8	of	of	ADP
ejpam-3382	43	9	the	the	DET
ejpam-3382	43	10	operator	operator	NOUN
ejpam-3382	43	11	s.	s.	PROPN
ejpam-3382	43	12	j.aliyev	j.aliyev	PROPN
ejpam-3382	43	13	,	,	PUNCT
ejpam-3382	43	14	a.	a.	PROPN
ejpam-3382	43	15	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	43	16	,	,	PUNCT
ejpam-3382	43	17	g.	g.	PROPN
ejpam-3382	43	18	z.	z.	PROPN
ejpam-3382	43	19	abdullayeva	abdullayeva	PROPN
ejpam-3382	43	20	/	/	SYM
ejpam-3382	43	21	eur	eur	PROPN
ejpam-3382	43	22	.	.	PUNCT
ejpam-3382	44	1	j.	j.	PROPN
ejpam-3382	44	2	pure	pure	PROPN
ejpam-3382	44	3	appl	appl	PROPN
ejpam-3382	44	4	.	.	PROPN
ejpam-3382	44	5	math	math	PROPN
ejpam-3382	44	6	,	,	PUNCT
ejpam-3382	44	7	12	12	NUM
ejpam-3382	44	8	(	(	PUNCT
ejpam-3382	44	9	2	2	NUM
ejpam-3382	44	10	)	)	PUNCT
ejpam-3382	44	11	(	(	PUNCT
ejpam-3382	44	12	2019	2019	NUM
ejpam-3382	44	13	)	)	PUNCT
ejpam-3382	44	14	,	,	PUNCT
ejpam-3382	44	15	577	577	NUM
ejpam-3382	44	16	-	-	SYM
ejpam-3382	44	17	589	589	NUM
ejpam-3382	44	18	579	579	NUM
ejpam-3382	44	19	l	l	NOUN
ejpam-3382	44	20	,	,	PUNCT
ejpam-3382	44	21	if	if	SCONJ
ejpam-3382	44	22	it	it	PRON
ejpam-3382	44	23	is	be	AUX
ejpam-3382	44	24	not	not	PART
ejpam-3382	44	25	identically	identically	ADV
ejpam-3382	44	26	zero	zero	NUM
ejpam-3382	44	27	and	and	CCONJ
ejpam-3382	44	28	∫	∫	PROPN
ejpam-3382	44	29	ω	ω	PROPN
ejpam-3382	44	30			PROPN
ejpam-3382	44	31	n∑	n∑	PROPN
ejpam-3382	44	32	i	i	PROPN
ejpam-3382	44	33	,	,	PUNCT
ejpam-3382	44	34	j=1	j=1	PROPN
ejpam-3382	44	35	aij(x	aij(x	PROPN
ejpam-3382	44	36	)	)	PUNCT
ejpam-3382	44	37	∂vs(x	∂vs(x	NOUN
ejpam-3382	44	38	)	)	PUNCT
ejpam-3382	44	39	∂xi	∂xi	PROPN
ejpam-3382	44	40	·	·	SYM
ejpam-3382	44	41	∂φ(x	∂φ(x	PROPN
ejpam-3382	44	42	)	)	PUNCT
ejpam-3382	44	43	∂xj	∂xj	NOUN
ejpam-3382	44	44	+	+	CCONJ
ejpam-3382	44	45	a(x)vs(x)φ(x	a(x)vs(x)φ(x	NOUN
ejpam-3382	44	46	)	)	PUNCT
ejpam-3382	45	1			NOUN
ejpam-3382	45	2	dx	dx	PROPN
ejpam-3382	45	3	=	=	SYM
ejpam-3382	45	4	λ2	λ2	PROPN
ejpam-3382	45	5	s	s	PART
ejpam-3382	45	6	∫	∫	PROPN
ejpam-3382	45	7	ω	ω	X
ejpam-3382	45	8	vs(x)φ(x)dx	vs(x)φ(x)dx	NOUN
ejpam-3382	45	9	for	for	ADP
ejpam-3382	45	10	any	any	DET
ejpam-3382	45	11	function	function	NOUN
ejpam-3382	45	12	φ(x	φ(x	NOUN
ejpam-3382	45	13	)	)	PUNCT
ejpam-3382	45	14	∈	∈	PROPN
ejpam-3382	45	15	◦	◦	NOUN
ejpam-3382	45	16	d(ω	d(ω	PROPN
ejpam-3382	45	17	)	)	PUNCT
ejpam-3382	45	18	.	.	PUNCT
ejpam-3382	46	1	as	as	SCONJ
ejpam-3382	46	2	the	the	DET
ejpam-3382	46	3	system	system	NOUN
ejpam-3382	46	4	{	{	PUNCT
ejpam-3382	46	5	vs(x)}∞s=1	vs(x)}∞s=1	VERB
ejpam-3382	46	6	is	be	AUX
ejpam-3382	46	7	complete	complete	ADJ
ejpam-3382	46	8	orthonormal	orthonormal	ADJ
ejpam-3382	46	9	in	in	ADP
ejpam-3382	46	10	l2(ω	l2(ω	PROPN
ejpam-3382	46	11	)	)	PUNCT
ejpam-3382	46	12	,	,	PUNCT
ejpam-3382	46	13	then	then	ADV
ejpam-3382	46	14	it	it	PRON
ejpam-3382	46	15	is	be	AUX
ejpam-3382	46	16	evident	evident	ADJ
ejpam-3382	46	17	that	that	SCONJ
ejpam-3382	46	18	every	every	DET
ejpam-3382	46	19	almost	almost	ADV
ejpam-3382	46	20	everywhere	everywhere	ADV
ejpam-3382	46	21	solution	solution	NOUN
ejpam-3382	46	22	of	of	ADP
ejpam-3382	46	23	problem	problem	NOUN
ejpam-3382	46	24	(	(	PUNCT
ejpam-3382	46	25	1)-(3	1)-(3	NOUN
ejpam-3382	46	26	)	)	PUNCT
ejpam-3382	46	27	has	have	VERB
ejpam-3382	46	28	the	the	DET
ejpam-3382	46	29	following	follow	VERB
ejpam-3382	46	30	form	form	NOUN
ejpam-3382	46	31	:	:	PUNCT
ejpam-3382	46	32	u(t	u(t	NOUN
ejpam-3382	46	33	,	,	PUNCT
ejpam-3382	46	34	x	x	NOUN
ejpam-3382	46	35	)	)	PUNCT
ejpam-3382	46	36	=	=	PUNCT
ejpam-3382	47	1	∞∑	∞∑	NOUN
ejpam-3382	47	2	s=1	s=1	SYM
ejpam-3382	47	3	us(t)vs(x	us(t)vs(x	X
ejpam-3382	47	4	)	)	PUNCT
ejpam-3382	47	5	,	,	PUNCT
ejpam-3382	47	6	where	where	SCONJ
ejpam-3382	47	7	us(t	us(t	ADP
ejpam-3382	47	8	)	)	PUNCT
ejpam-3382	47	9	=	=	SYM
ejpam-3382	47	10	∫	∫	PROPN
ejpam-3382	47	11	ω	ω	NUM
ejpam-3382	47	12	u(t	u(t	PROPN
ejpam-3382	47	13	,	,	PUNCT
ejpam-3382	47	14	x)vs(x)dx	x)vs(x)dx	ADJ
ejpam-3382	47	15	(	(	PUNCT
ejpam-3382	47	16	s	s	NOUN
ejpam-3382	47	17	=	=	SYM
ejpam-3382	47	18	1	1	NUM
ejpam-3382	47	19	,	,	PUNCT
ejpam-3382	47	20	2	2	NUM
ejpam-3382	47	21	,	,	PUNCT
ejpam-3382	47	22	...	...	PUNCT
ejpam-3382	47	23	)	)	PUNCT
ejpam-3382	47	24	.	.	PUNCT
ejpam-3382	48	1	then	then	ADV
ejpam-3382	48	2	,	,	PUNCT
ejpam-3382	48	3	after	after	ADP
ejpam-3382	48	4	applying	apply	VERB
ejpam-3382	48	5	the	the	DET
ejpam-3382	48	6	fourier	fourier	ADJ
ejpam-3382	48	7	method	method	NOUN
ejpam-3382	48	8	,	,	PUNCT
ejpam-3382	48	9	finding	find	VERB
ejpam-3382	48	10	the	the	DET
ejpam-3382	48	11	unknown	unknown	ADJ
ejpam-3382	48	12	fourier	fourier	NOUN
ejpam-3382	48	13	coefficients	coefficient	NOUN
ejpam-3382	48	14	us(t	us(t	PRON
ejpam-3382	48	15	)	)	PUNCT
ejpam-3382	48	16	(	(	PUNCT
ejpam-3382	48	17	s	s	NOUN
ejpam-3382	48	18	=	=	SYM
ejpam-3382	48	19	1	1	NUM
ejpam-3382	48	20	,	,	PUNCT
ejpam-3382	48	21	2	2	NUM
ejpam-3382	48	22	,	,	PUNCT
ejpam-3382	48	23	...	...	PUNCT
ejpam-3382	48	24	)	)	PUNCT
ejpam-3382	48	25	for	for	ADP
ejpam-3382	48	26	the	the	DET
ejpam-3382	48	27	almost	almost	ADV
ejpam-3382	48	28	everywhere	everywhere	ADV
ejpam-3382	48	29	solution	solution	NOUN
ejpam-3382	48	30	u(t	u(t	NOUN
ejpam-3382	48	31	,	,	PUNCT
ejpam-3382	48	32	x	x	NOUN
ejpam-3382	48	33	)	)	PUNCT
ejpam-3382	48	34	of	of	ADP
ejpam-3382	48	35	the	the	DET
ejpam-3382	48	36	problem	problem	NOUN
ejpam-3382	48	37	(	(	PUNCT
ejpam-3382	48	38	1)-(3	1)-(3	NOUN
ejpam-3382	48	39	)	)	PUNCT
ejpam-3382	48	40	is	be	AUX
ejpam-3382	48	41	reduced	reduce	VERB
ejpam-3382	48	42	to	to	ADP
ejpam-3382	48	43	the	the	DET
ejpam-3382	48	44	solution	solution	NOUN
ejpam-3382	48	45	of	of	ADP
ejpam-3382	48	46	the	the	DET
ejpam-3382	48	47	following	follow	VERB
ejpam-3382	48	48	countable	countable	ADJ
ejpam-3382	48	49	system	system	NOUN
ejpam-3382	48	50	of	of	ADP
ejpam-3382	48	51	nonlinear	nonlinear	ADJ
ejpam-3382	48	52	integro	integro	ADJ
ejpam-3382	48	53	-	-	PUNCT
ejpam-3382	48	54	differential	differential	NOUN
ejpam-3382	48	55	equations	equation	NOUN
ejpam-3382	48	56	:	:	PUNCT
ejpam-3382	48	57	us(t	us(t	X
ejpam-3382	48	58	)	)	PUNCT
ejpam-3382	48	59	=	=	SYM
ejpam-3382	49	1	ϕs	ϕs	PUNCT
ejpam-3382	50	1	+	+	CCONJ
ejpam-3382	50	2	1	1	NUM
ejpam-3382	50	3	λ2	λ2	NOUN
ejpam-3382	50	4	s	s	PART
ejpam-3382	50	5	(	(	PUNCT
ejpam-3382	50	6	1−	1−	NUM
ejpam-3382	50	7	e−λ2st)ψs	e−λ2st)ψs	ADJ
ejpam-3382	50	8	+	+	CCONJ
ejpam-3382	50	9	1	1	NUM
ejpam-3382	50	10	λ2	λ2	NOUN
ejpam-3382	50	11	s	s	VERB
ejpam-3382	50	12	t∫	t∫	NUM
ejpam-3382	50	13	0	0	NUM
ejpam-3382	50	14	∫	∫	PROPN
ejpam-3382	50	15	ω	ω	PROPN
ejpam-3382	50	16	f(u(τ	f(u(τ	PROPN
ejpam-3382	50	17	,	,	PUNCT
ejpam-3382	50	18	x	x	NOUN
ejpam-3382	50	19	)	)	PUNCT
ejpam-3382	50	20	)	)	PUNCT
ejpam-3382	50	21	·	·	PUNCT
ejpam-3382	51	1	[	[	PUNCT
ejpam-3382	51	2	1−	1−	NUM
ejpam-3382	51	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3382	51	4	)	)	PUNCT
ejpam-3382	51	5	]	]	PUNCT
ejpam-3382	51	6	vs(x)dxdτ	vs(x)dxdτ	NOUN
ejpam-3382	51	7	(	(	PUNCT
ejpam-3382	51	8	s	s	NOUN
ejpam-3382	51	9	=	=	SYM
ejpam-3382	51	10	1	1	NUM
ejpam-3382	51	11	,	,	PUNCT
ejpam-3382	51	12	2	2	NUM
ejpam-3382	51	13	,	,	PUNCT
ejpam-3382	51	14	...	...	PUNCT
ejpam-3382	51	15	;	;	PUNCT
ejpam-3382	51	16	t	t	PROPN
ejpam-3382	51	17	∈	∈	PROPN
ejpam-3382	52	1	[	[	X
ejpam-3382	52	2	0	0	NUM
ejpam-3382	52	3	,	,	PUNCT
ejpam-3382	52	4	t	t	X
ejpam-3382	52	5	]	]	PUNCT
ejpam-3382	52	6	)	)	PUNCT
ejpam-3382	52	7	,	,	PUNCT
ejpam-3382	52	8	(	(	PUNCT
ejpam-3382	52	9	5	5	X
ejpam-3382	52	10	)	)	PUNCT
ejpam-3382	52	11	where	where	SCONJ
ejpam-3382	52	12	ϕs	ϕs	ADP
ejpam-3382	52	13	=	=	SYM
ejpam-3382	52	14	∫	∫	PROPN
ejpam-3382	52	15	ω	ω	PROPN
ejpam-3382	52	16	ϕ(x)vs(x)dx	ϕ(x)vs(x)dx	ADJ
ejpam-3382	52	17	,	,	PUNCT
ejpam-3382	52	18	ψs	ψs	NOUN
ejpam-3382	52	19	=	=	PUNCT
ejpam-3382	52	20	∫	∫	PROPN
ejpam-3382	52	21	ω	ω	INTJ
ejpam-3382	52	22	ψ(x)vs(x)dx	ψ(x)vs(x)dx	X
ejpam-3382	52	23	(	(	PUNCT
ejpam-3382	52	24	s	s	NOUN
ejpam-3382	52	25	=	=	SYM
ejpam-3382	52	26	1	1	NUM
ejpam-3382	52	27	,	,	PUNCT
ejpam-3382	52	28	2	2	NUM
ejpam-3382	52	29	,	,	PUNCT
ejpam-3382	52	30	...	...	PUNCT
ejpam-3382	52	31	)	)	PUNCT
ejpam-3382	52	32	.	.	PUNCT
ejpam-3382	53	1	proceeding	proceed	VERB
ejpam-3382	53	2	from	from	ADP
ejpam-3382	53	3	the	the	DET
ejpam-3382	53	4	definition	definition	NOUN
ejpam-3382	53	5	of	of	ADP
ejpam-3382	53	6	almost	almost	ADV
ejpam-3382	53	7	every	every	PRON
ejpam-3382	53	8	where	where	SCONJ
ejpam-3382	53	9	solution	solution	NOUN
ejpam-3382	53	10	of	of	ADP
ejpam-3382	53	11	problem	problem	NOUN
ejpam-3382	53	12	(	(	PUNCT
ejpam-3382	53	13	1)-(3	1)-(3	NUM
ejpam-3382	53	14	)	)	PUNCT
ejpam-3382	53	15	,	,	PUNCT
ejpam-3382	53	16	it	it	PRON
ejpam-3382	53	17	is	be	AUX
ejpam-3382	53	18	easy	easy	ADJ
ejpam-3382	53	19	to	to	PART
ejpam-3382	53	20	prove	prove	VERB
ejpam-3382	53	21	(	(	PUNCT
ejpam-3382	53	22	see	see	VERB
ejpam-3382	53	23	[	[	X
ejpam-3382	53	24	1	1	NUM
ejpam-3382	53	25	]	]	PUNCT
ejpam-3382	53	26	)	)	PUNCT
ejpam-3382	53	27	the	the	DET
ejpam-3382	53	28	following	follow	VERB
ejpam-3382	53	29	lemma	lemma	PROPN
ejpam-3382	53	30	.	.	PUNCT
ejpam-3382	54	1	if	if	SCONJ
ejpam-3382	54	2	u(t	u(t	NOUN
ejpam-3382	54	3	,	,	PUNCT
ejpam-3382	54	4	x	x	NOUN
ejpam-3382	54	5	)	)	PUNCT
ejpam-3382	54	6	=	=	PUNCT
ejpam-3382	55	1	∞∑	∞∑	NOUN
ejpam-3382	55	2	s=1	s=1	SYM
ejpam-3382	55	3	us(t)vs(x	us(t)vs(x	X
ejpam-3382	55	4	)	)	PUNCT
ejpam-3382	55	5	is	be	AUX
ejpam-3382	55	6	any	any	DET
ejpam-3382	55	7	almost	almost	ADV
ejpam-3382	55	8	everywhere	everywhere	ADV
ejpam-3382	55	9	solution	solution	NOUN
ejpam-3382	55	10	of	of	ADP
ejpam-3382	55	11	problem	problem	NOUN
ejpam-3382	55	12	(	(	PUNCT
ejpam-3382	55	13	1)-(3	1)-(3	NUM
ejpam-3382	55	14	)	)	PUNCT
ejpam-3382	55	15	and	and	CCONJ
ejpam-3382	55	16	the	the	DET
ejpam-3382	55	17	generalized	generalized	ADJ
ejpam-3382	55	18	derivatives	derivative	NOUN
ejpam-3382	55	19	∂	∂	ADJ
ejpam-3382	55	20	∂xk	∂xk	PROPN
ejpam-3382	55	21	aij(x	aij(x	PROPN
ejpam-3382	55	22	)	)	PUNCT
ejpam-3382	55	23	(	(	PUNCT
ejpam-3382	55	24	i	i	PROPN
ejpam-3382	55	25	,	,	PUNCT
ejpam-3382	55	26	j	j	PROPN
ejpam-3382	55	27	,	,	PUNCT
ejpam-3382	55	28	k	k	PROPN
ejpam-3382	55	29	=	=	SYM
ejpam-3382	55	30	1	1	NUM
ejpam-3382	55	31	,	,	PUNCT
ejpam-3382	55	32	2	2	NUM
ejpam-3382	55	33	,	,	PUNCT
ejpam-3382	55	34	.	.	PUNCT
ejpam-3382	55	35	.	.	PUNCT
ejpam-3382	56	1	.	.	PUNCT
ejpam-3382	57	1	,	,	PUNCT
ejpam-3382	57	2	n	n	CCONJ
ejpam-3382	57	3	)	)	PUNCT
ejpam-3382	57	4	are	be	AUX
ejpam-3382	57	5	bounded	bound	VERB
ejpam-3382	57	6	on	on	ADP
ejpam-3382	57	7	ω	ω	PROPN
ejpam-3382	57	8	,	,	PUNCT
ejpam-3382	57	9	then	then	ADV
ejpam-3382	57	10	functions	function	NOUN
ejpam-3382	57	11	us(t	us(t	NOUN
ejpam-3382	57	12	)	)	PUNCT
ejpam-3382	57	13	(	(	PUNCT
ejpam-3382	57	14	s	s	NOUN
ejpam-3382	57	15	=	=	SYM
ejpam-3382	57	16	1	1	NUM
ejpam-3382	57	17	,	,	PUNCT
ejpam-3382	57	18	2	2	NUM
ejpam-3382	57	19	,	,	PUNCT
ejpam-3382	57	20	...	...	PUNCT
ejpam-3382	57	21	)	)	PUNCT
ejpam-3382	57	22	satisfy	satisfy	NOUN
ejpam-3382	57	23	system	system	NOUN
ejpam-3382	57	24	(	(	PUNCT
ejpam-3382	57	25	5	5	NUM
ejpam-3382	57	26	)	)	PUNCT
ejpam-3382	57	27	.	.	PUNCT
ejpam-3382	58	1	3	3	X
ejpam-3382	58	2	.	.	X
ejpam-3382	58	3	we	we	PRON
ejpam-3382	58	4	denote	denote	VERB
ejpam-3382	58	5	by	by	ADP
ejpam-3382	58	6	bα0,	bα0,	PRON
ejpam-3382	58	7	...	...	PUNCT
ejpam-3382	58	8	,αl	,αl	PUNCT
ejpam-3382	58	9	β0,	β0,	NOUN
ejpam-3382	58	10	...	...	PUNCT
ejpam-3382	58	11	,βl	,βl	PUNCT
ejpam-3382	58	12	,	,	PUNCT
ejpam-3382	58	13	t	t	PROPN
ejpam-3382	58	14	a	a	DET
ejpam-3382	58	15	totality	totality	NOUN
ejpam-3382	58	16	of	of	ADP
ejpam-3382	58	17	all	all	DET
ejpam-3382	58	18	the	the	DET
ejpam-3382	58	19	functions	function	NOUN
ejpam-3382	58	20	of	of	ADP
ejpam-3382	58	21	the	the	PRON
ejpam-3382	58	22	from	from	ADP
ejpam-3382	58	23	u(t	u(t	NOUN
ejpam-3382	58	24	,	,	PUNCT
ejpam-3382	58	25	x	x	NOUN
ejpam-3382	58	26	)	)	PUNCT
ejpam-3382	58	27	=	=	PUNCT
ejpam-3382	59	1	∞∑	∞∑	NOUN
ejpam-3382	59	2	s=1	s=1	SYM
ejpam-3382	59	3	us(t)vs(x	us(t)vs(x	NOUN
ejpam-3382	59	4	)	)	PUNCT
ejpam-3382	59	5	s.	s.	PROPN
ejpam-3382	59	6	j.aliyev	j.aliyev	PROPN
ejpam-3382	59	7	,	,	PUNCT
ejpam-3382	59	8	a.	a.	PROPN
ejpam-3382	59	9	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	59	10	,	,	PUNCT
ejpam-3382	59	11	g.	g.	PROPN
ejpam-3382	59	12	z.	z.	PROPN
ejpam-3382	59	13	abdullayeva	abdullayeva	PROPN
ejpam-3382	59	14	/	/	SYM
ejpam-3382	59	15	eur	eur	PROPN
ejpam-3382	59	16	.	.	PUNCT
ejpam-3382	60	1	j.	j.	PROPN
ejpam-3382	60	2	pure	pure	PROPN
ejpam-3382	60	3	appl	appl	PROPN
ejpam-3382	60	4	.	.	PROPN
ejpam-3382	60	5	math	math	PROPN
ejpam-3382	60	6	,	,	PUNCT
ejpam-3382	60	7	12	12	NUM
ejpam-3382	60	8	(	(	PUNCT
ejpam-3382	60	9	2	2	NUM
ejpam-3382	60	10	)	)	PUNCT
ejpam-3382	60	11	(	(	PUNCT
ejpam-3382	60	12	2019	2019	NUM
ejpam-3382	60	13	)	)	PUNCT
ejpam-3382	60	14	,	,	PUNCT
ejpam-3382	60	15	577	577	NUM
ejpam-3382	60	16	-	-	SYM
ejpam-3382	60	17	589	589	NUM
ejpam-3382	60	18	580	580	NUM
ejpam-3382	60	19	considered	consider	VERB
ejpam-3382	60	20	in	in	ADP
ejpam-3382	60	21	qt	qt	NOUN
ejpam-3382	60	22	=	=	PUNCT
ejpam-3382	61	1	[	[	X
ejpam-3382	61	2	0	0	NUM
ejpam-3382	61	3	,	,	PUNCT
ejpam-3382	61	4	t	t	X
ejpam-3382	61	5	]	]	X
ejpam-3382	61	6	×	×	PROPN
ejpam-3382	61	7	ω	ω	NOUN
ejpam-3382	61	8	,	,	PUNCT
ejpam-3382	61	9	where	where	SCONJ
ejpam-3382	61	10	us(t	us(t	ADP
ejpam-3382	61	11	)	)	PUNCT
ejpam-3382	61	12	∈	∈	PROPN
ejpam-3382	62	1	c(l)([0	c(l)([0	PROPN
ejpam-3382	62	2	,	,	PUNCT
ejpam-3382	62	3	t	t	X
ejpam-3382	62	4	]	]	PUNCT
ejpam-3382	62	5	)	)	PUNCT
ejpam-3382	62	6	for	for	ADP
ejpam-3382	62	7	all	all	DET
ejpam-3382	62	8	s	s	PROPN
ejpam-3382	62	9	and	and	CCONJ
ejpam-3382	62	10	nt	not	PART
ejpam-3382	62	11	(	(	PUNCT
ejpam-3382	62	12	u	u	NOUN
ejpam-3382	62	13	)	)	PUNCT
ejpam-3382	62	14	≡	≡	PROPN
ejpam-3382	62	15	l∑	l∑	PUNCT
ejpam-3382	63	1	i=0	i=0	PROPN
ejpam-3382	63	2	{	{	PUNCT
ejpam-3382	63	3	∞∑	∞∑	NOUN
ejpam-3382	63	4	s=1	s=1	X
ejpam-3382	63	5	(	(	PUNCT
ejpam-3382	63	6	λαis	λαis	ADJ
ejpam-3382	63	7	·	·	PUNCT
ejpam-3382	63	8	max	max	NOUN
ejpam-3382	63	9	0≤t≤t	0≤t≤t	NUM
ejpam-3382	63	10	∣∣∣u(i	∣∣∣u(i	NOUN
ejpam-3382	63	11	)	)	PUNCT
ejpam-3382	63	12	s	s	PART
ejpam-3382	63	13	(	(	PUNCT
ejpam-3382	63	14	t	t	NOUN
ejpam-3382	63	15	)	)	PUNCT
ejpam-3382	63	16	∣∣∣)βi	∣∣∣)βi	NOUN
ejpam-3382	63	17	}	}	PUNCT
ejpam-3382	63	18	1	1	NUM
ejpam-3382	63	19	βi	βi	ADP
ejpam-3382	63	20	<	<	X
ejpam-3382	63	21	+	+	NOUN
ejpam-3382	63	22	∞	∞	PROPN
ejpam-3382	63	23	,	,	PUNCT
ejpam-3382	63	24	with	with	ADP
ejpam-3382	63	25	αi	αi	NUM
ejpam-3382	63	26	≥	≥	NOUN
ejpam-3382	63	27	0	0	NUM
ejpam-3382	63	28	,	,	PUNCT
ejpam-3382	63	29	1	1	NUM
ejpam-3382	63	30	≤	≤	NUM
ejpam-3382	63	31	βi	βi	VERB
ejpam-3382	63	32	≤	≤	NUM
ejpam-3382	63	33	2	2	NUM
ejpam-3382	63	34	(	(	PUNCT
ejpam-3382	63	35	i	i	NOUN
ejpam-3382	63	36	=	=	NOUN
ejpam-3382	63	37	0	0	NUM
ejpam-3382	63	38	,	,	PUNCT
ejpam-3382	63	39	1	1	NUM
ejpam-3382	63	40	,	,	PUNCT
ejpam-3382	63	41	.	.	PUNCT
ejpam-3382	63	42	.	.	PUNCT
ejpam-3382	63	43	.	.	PUNCT
ejpam-3382	63	44	,	,	PUNCT
ejpam-3382	63	45	n	n	CCONJ
ejpam-3382	63	46	)	)	PUNCT
ejpam-3382	63	47	.	.	PUNCT
ejpam-3382	64	1	we	we	PRON
ejpam-3382	64	2	define	define	VERB
ejpam-3382	64	3	the	the	DET
ejpam-3382	64	4	norm	norm	NOUN
ejpam-3382	64	5	in	in	ADP
ejpam-3382	64	6	this	this	DET
ejpam-3382	64	7	set	set	NOUN
ejpam-3382	64	8	as	as	ADP
ejpam-3382	64	9	‖u‖	‖u‖	PROPN
ejpam-3382	64	10	=	=	PUNCT
ejpam-3382	64	11	nt	not	PART
ejpam-3382	64	12	(	(	PUNCT
ejpam-3382	64	13	u	u	NOUN
ejpam-3382	64	14	)	)	PUNCT
ejpam-3382	64	15	.	.	PUNCT
ejpam-3382	65	1	it	it	PRON
ejpam-3382	65	2	is	be	AUX
ejpam-3382	65	3	evident	evident	ADJ
ejpam-3382	65	4	that	that	SCONJ
ejpam-3382	65	5	all	all	DET
ejpam-3382	65	6	these	these	DET
ejpam-3382	65	7	spaces	space	NOUN
ejpam-3382	65	8	are	be	AUX
ejpam-3382	65	9	banach	banach	NOUN
ejpam-3382	65	10	spaces	space	NOUN
ejpam-3382	65	11	(	(	PUNCT
ejpam-3382	65	12	[	[	X
ejpam-3382	65	13	6	6	NUM
ejpam-3382	65	14	,	,	PUNCT
ejpam-3382	65	15	p.50	p.50	NOUN
ejpam-3382	65	16	]	]	X
ejpam-3382	65	17	)	)	PUNCT
ejpam-3382	65	18	.	.	PUNCT
ejpam-3382	66	1	4	4	X
ejpam-3382	66	2	.	.	X
ejpam-3382	66	3	let	let	VERB
ejpam-3382	66	4	g	g	NOUN
ejpam-3382	66	5	be	be	AUX
ejpam-3382	66	6	class	class	NOUN
ejpam-3382	66	7	all	all	DET
ejpam-3382	66	8	functions	function	NOUN
ejpam-3382	66	9	u(t	u(t	NOUN
ejpam-3382	66	10	,	,	PUNCT
ejpam-3382	66	11	x	x	NOUN
ejpam-3382	66	12	)	)	PUNCT
ejpam-3382	66	13	which	which	PRON
ejpam-3382	66	14	have	have	VERB
ejpam-3382	66	15	the	the	DET
ejpam-3382	66	16	properties	property	NOUN
ejpam-3382	66	17	u(t	u(t	NOUN
ejpam-3382	66	18	,	,	PUNCT
ejpam-3382	66	19	x	x	NOUN
ejpam-3382	66	20	)	)	PUNCT
ejpam-3382	66	21	,	,	PUNCT
ejpam-3382	66	22	ut(t	ut(t	PROPN
ejpam-3382	66	23	,	,	PUNCT
ejpam-3382	66	24	x	x	NOUN
ejpam-3382	66	25	)	)	PUNCT
ejpam-3382	66	26	,	,	PUNCT
ejpam-3382	66	27	uxi(t	uxi(t	PROPN
ejpam-3382	66	28	,	,	PUNCT
ejpam-3382	66	29	x	x	X
ejpam-3382	66	30	)	)	PUNCT
ejpam-3382	66	31	(	(	PUNCT
ejpam-3382	66	32	i	i	NOUN
ejpam-3382	66	33	=	=	NOUN
ejpam-3382	66	34	1	1	NUM
ejpam-3382	66	35	,	,	PUNCT
ejpam-3382	66	36	n	n	CCONJ
ejpam-3382	66	37	)	)	PUNCT
ejpam-3382	66	38	,	,	PUNCT
ejpam-3382	66	39	utxi(t	utxi(t	ADP
ejpam-3382	66	40	,	,	PUNCT
ejpam-3382	66	41	x	x	PRON
ejpam-3382	66	42	)	)	PUNCT
ejpam-3382	66	43	(	(	PUNCT
ejpam-3382	66	44	i	i	NOUN
ejpam-3382	66	45	=	=	NOUN
ejpam-3382	66	46	1	1	NUM
ejpam-3382	66	47	,	,	PUNCT
ejpam-3382	66	48	n	n	CCONJ
ejpam-3382	66	49	)	)	PUNCT
ejpam-3382	66	50	,	,	PUNCT
ejpam-3382	66	51	uxixj	uxixj	PROPN
ejpam-3382	66	52	(	(	PUNCT
ejpam-3382	66	53	t	t	PROPN
ejpam-3382	66	54	,	,	PUNCT
ejpam-3382	66	55	x	x	NOUN
ejpam-3382	66	56	)	)	PUNCT
ejpam-3382	66	57	(	(	PUNCT
ejpam-3382	66	58	i	i	PROPN
ejpam-3382	66	59	,	,	PUNCT
ejpam-3382	66	60	j	j	PROPN
ejpam-3382	66	61	=	=	SYM
ejpam-3382	66	62	1	1	NUM
ejpam-3382	66	63	,	,	PUNCT
ejpam-3382	66	64	n	n	CCONJ
ejpam-3382	66	65	)	)	PUNCT
ejpam-3382	66	66	,	,	PUNCT
ejpam-3382	66	67	utt(t	utt(t	PROPN
ejpam-3382	66	68	,	,	PUNCT
ejpam-3382	66	69	x	x	NOUN
ejpam-3382	66	70	)	)	PUNCT
ejpam-3382	66	71	,	,	PUNCT
ejpam-3382	66	72	utxixj	utxixj	ADJ
ejpam-3382	66	73	(	(	PUNCT
ejpam-3382	66	74	t	t	PROPN
ejpam-3382	66	75	,	,	PUNCT
ejpam-3382	66	76	x	x	NOUN
ejpam-3382	66	77	)	)	PUNCT
ejpam-3382	66	78	(	(	PUNCT
ejpam-3382	66	79	i	i	PROPN
ejpam-3382	66	80	,	,	PUNCT
ejpam-3382	66	81	j	j	PROPN
ejpam-3382	66	82	=	=	SYM
ejpam-3382	66	83	1	1	NUM
ejpam-3382	66	84	,	,	PUNCT
ejpam-3382	66	85	n	n	CCONJ
ejpam-3382	66	86	)	)	PUNCT
ejpam-3382	66	87	∈	∈	PROPN
ejpam-3382	66	88	l2(qt	l2(qt	PROPN
ejpam-3382	66	89	)	)	PUNCT
ejpam-3382	66	90	.	.	PUNCT
ejpam-3382	67	1	3	3	X
ejpam-3382	67	2	.	.	X
ejpam-3382	67	3	on	on	ADP
ejpam-3382	67	4	the	the	DET
ejpam-3382	67	5	existence	existence	NOUN
ejpam-3382	67	6	of	of	ADP
ejpam-3382	67	7	almost	almost	ADV
ejpam-3382	67	8	everywhere	everywhere	ADV
ejpam-3382	67	9	solution	solution	NOUN
ejpam-3382	67	10	in	in	ADP
ejpam-3382	67	11	this	this	DET
ejpam-3382	67	12	section	section	NOUN
ejpam-3382	67	13	,	,	PUNCT
ejpam-3382	67	14	using	use	VERB
ejpam-3382	67	15	non	non	ADJ
ejpam-3382	67	16	-	-	ADJ
ejpam-3382	67	17	zero	zero	NUM
ejpam-3382	67	18	rotation	rotation	NOUN
ejpam-3382	67	19	principle	principle	NOUN
ejpam-3382	67	20	,	,	PUNCT
ejpam-3382	67	21	the	the	DET
ejpam-3382	67	22	following	follow	VERB
ejpam-3382	67	23	existence	existence	NOUN
ejpam-3382	67	24	theorem	theorem	VERB
ejpam-3382	67	25	for	for	ADP
ejpam-3382	67	26	the	the	DET
ejpam-3382	67	27	almost	almost	ADV
ejpam-3382	67	28	everywhere	everywhere	ADJ
ejpam-3382	67	29	solution	solution	NOUN
ejpam-3382	67	30	of	of	ADP
ejpam-3382	67	31	problem	problem	NOUN
ejpam-3382	67	32	(	(	PUNCT
ejpam-3382	67	33	1)-(3	1)-(3	NOUN
ejpam-3382	67	34	)	)	PUNCT
ejpam-3382	67	35	is	be	AUX
ejpam-3382	67	36	proved	prove	VERB
ejpam-3382	67	37	for	for	ADP
ejpam-3382	67	38	n	n	CCONJ
ejpam-3382	67	39	:	:	PUNCT
ejpam-3382	67	40	theorem	theorem	NOUN
ejpam-3382	67	41	1	1	NUM
ejpam-3382	67	42	.	.	PUNCT
ejpam-3382	68	1	let	let	VERB
ejpam-3382	68	2	(	(	PUNCT
ejpam-3382	68	3	i	i	NOUN
ejpam-3382	68	4	)	)	PUNCT
ejpam-3382	68	5	aij(x	aij(x	PROPN
ejpam-3382	68	6	)	)	PUNCT
ejpam-3382	68	7	∈	∈	PROPN
ejpam-3382	68	8	c(2)(ω̄	c(2)(ω̄	PROPN
ejpam-3382	68	9	)	)	PUNCT
ejpam-3382	68	10	(	(	PUNCT
ejpam-3382	68	11	i	i	PROPN
ejpam-3382	68	12	,	,	PUNCT
ejpam-3382	68	13	j	j	PROPN
ejpam-3382	68	14	=	=	SYM
ejpam-3382	68	15	1	1	NUM
ejpam-3382	68	16	,	,	PUNCT
ejpam-3382	68	17	n	n	CCONJ
ejpam-3382	68	18	)	)	PUNCT
ejpam-3382	68	19	;	;	PUNCT
ejpam-3382	68	20	a(x	a(x	PROPN
ejpam-3382	68	21	)	)	PUNCT
ejpam-3382	68	22	∈	∈	PROPN
ejpam-3382	68	23	c(1)(ω̄	c(1)(ω̄	NOUN
ejpam-3382	68	24	)	)	PUNCT
ejpam-3382	68	25	;	;	PUNCT
ejpam-3382	68	26	s	s	X
ejpam-3382	68	27	∈	∈	PROPN
ejpam-3382	68	28	c(3	c(3	PROPN
ejpam-3382	68	29	)	)	PUNCT
ejpam-3382	68	30	;	;	PUNCT
ejpam-3382	68	31	the	the	DET
ejpam-3382	68	32	eigenfunctions	eigenfunction	NOUN
ejpam-3382	68	33	vs(x	vs(x	NUM
ejpam-3382	68	34	)	)	PUNCT
ejpam-3382	68	35	of	of	ADP
ejpam-3382	68	36	the	the	DET
ejpam-3382	68	37	operator	operator	NOUN
ejpam-3382	68	38	l	l	NOUN
ejpam-3382	68	39	under	under	ADP
ejpam-3382	68	40	boundary	boundary	ADJ
ejpam-3382	68	41	condition	condition	NOUN
ejpam-3382	68	42	vs(x)|s	vs(x)|s	NOUN
ejpam-3382	68	43	=	=	SYM
ejpam-3382	68	44	0	0	NUM
ejpam-3382	68	45	be	be	VERB
ejpam-3382	68	46	three	three	NUM
ejpam-3382	68	47	times	time	NOUN
ejpam-3382	68	48	continuously	continuously	ADV
ejpam-3382	68	49	differentiable	differentiable	VERB
ejpam-3382	68	50	on	on	ADP
ejpam-3382	68	51	ω̄	ω̄	ADP
ejpam-3382	68	52	;	;	PUNCT
ejpam-3382	68	53	ϕ(x	ϕ(x	X
ejpam-3382	68	54	)	)	PUNCT
ejpam-3382	68	55	∈w	∈w	VERB
ejpam-3382	68	56	3	3	NUM
ejpam-3382	68	57	2	2	NUM
ejpam-3382	68	58	(	(	PUNCT
ejpam-3382	68	59	ω	ω	NOUN
ejpam-3382	68	60	)	)	PUNCT
ejpam-3382	68	61	;	;	PUNCT
ejpam-3382	68	62	ϕ(x	ϕ(x	X
ejpam-3382	68	63	)	)	PUNCT
ejpam-3382	68	64	,	,	PUNCT
ejpam-3382	68	65	lϕ(x	lϕ(x	PUNCT
ejpam-3382	68	66	)	)	PUNCT
ejpam-3382	69	1	∈	∈	PROPN
ejpam-3382	69	2	◦	◦	NOUN
ejpam-3382	69	3	d(ω	d(ω	PROPN
ejpam-3382	69	4	)	)	PUNCT
ejpam-3382	69	5	;	;	PUNCT
ejpam-3382	69	6	ψ(x	ψ(x	NUM
ejpam-3382	69	7	)	)	PUNCT
ejpam-3382	69	8	∈w	∈w	VERB
ejpam-3382	69	9	2	2	NUM
ejpam-3382	69	10	2	2	NUM
ejpam-3382	69	11	(	(	PUNCT
ejpam-3382	69	12	ω	ω	NOUN
ejpam-3382	69	13	)	)	PUNCT
ejpam-3382	69	14	⋂	⋂	PROPN
ejpam-3382	69	15	◦	◦	NOUN
ejpam-3382	69	16	d(ω	d(ω	PROPN
ejpam-3382	69	17	)	)	PUNCT
ejpam-3382	69	18	.	.	PUNCT
ejpam-3382	70	1	2	2	X
ejpam-3382	70	2	.	.	X
ejpam-3382	70	3	f	f	PROPN
ejpam-3382	70	4	=	=	PROPN
ejpam-3382	70	5	f1	f1	PROPN
ejpam-3382	70	6	+	+	CCONJ
ejpam-3382	70	7	f2	f2	PROPN
ejpam-3382	70	8	+	+	CCONJ
ejpam-3382	70	9	f3	f3	ADJ
ejpam-3382	70	10	,	,	PUNCT
ejpam-3382	70	11	where	where	SCONJ
ejpam-3382	70	12	a	a	X
ejpam-3382	70	13	)	)	PUNCT
ejpam-3382	70	14	the	the	DET
ejpam-3382	70	15	operator	operator	NOUN
ejpam-3382	70	16	f1	f1	NOUN
ejpam-3382	70	17	acts	act	VERB
ejpam-3382	70	18	from	from	ADP
ejpam-3382	70	19	the	the	DET
ejpam-3382	70	20	b2	b2	NOUN
ejpam-3382	70	21	2,t	2,t	NOUN
ejpam-3382	70	22	into	into	ADP
ejpam-3382	70	23	the	the	DET
ejpam-3382	70	24	space	space	NOUN
ejpam-3382	70	25	w	w	PROPN
ejpam-3382	70	26	0,1	0,1	NUM
ejpam-3382	70	27	t	t	PROPN
ejpam-3382	70	28	,	,	PUNCT
ejpam-3382	70	29	x,2(qt	x,2(qt	PROPN
ejpam-3382	70	30	)	)	PUNCT
ejpam-3382	70	31	continuously	continuously	ADV
ejpam-3382	70	32	and	and	CCONJ
ejpam-3382	70	33	for	for	ADP
ejpam-3382	70	34	all	all	DET
ejpam-3382	70	35	u	u	PROPN
ejpam-3382	70	36	∈	∈	PROPN
ejpam-3382	70	37	b2	b2	NOUN
ejpam-3382	70	38	2,t	2,t	NOUN
ejpam-3382	70	39	,	,	PUNCT
ejpam-3382	70	40	t	t	PROPN
ejpam-3382	70	41	∈	∈	PROPN
ejpam-3382	71	1	[	[	X
ejpam-3382	71	2	0	0	NUM
ejpam-3382	71	3	,	,	PUNCT
ejpam-3382	71	4	t	t	X
ejpam-3382	71	5	]	]	PUNCT
ejpam-3382	71	6	:	:	PUNCT
ejpam-3382	71	7	‖f1(u(t	‖f1(u(t	PROPN
ejpam-3382	71	8	,	,	PUNCT
ejpam-3382	71	9	x))‖w	x))‖w	AUX
ejpam-3382	71	10	1	1	NUM
ejpam-3382	71	11	2	2	NUM
ejpam-3382	71	12	(	(	PUNCT
ejpam-3382	71	13	ω	ω	NOUN
ejpam-3382	71	14	)	)	PUNCT
ejpam-3382	71	15	≤	≤	NOUN
ejpam-3382	71	16	a1(t	a1(t	ADV
ejpam-3382	71	17	)	)	PUNCT
ejpam-3382	71	18	+	+	CCONJ
ejpam-3382	71	19	a2(t	a2(t	SYM
ejpam-3382	71	20	)	)	PUNCT
ejpam-3382	71	21	·	·	PUNCT
ejpam-3382	71	22	‖u‖γ	‖u‖γ	ADJ
ejpam-3382	71	23	b2	b2	NOUN
ejpam-3382	71	24	2,t	2,t	NOUN
ejpam-3382	71	25	+	+	CCONJ
ejpam-3382	71	26	a3(t	a3(t	PROPN
ejpam-3382	71	27	)	)	PUNCT
ejpam-3382	71	28	·	·	PUNCT
ejpam-3382	71	29	‖u‖b2	‖u‖b2	NUM
ejpam-3382	71	30	2,t	2,t	NOUN
ejpam-3382	71	31	,	,	PUNCT
ejpam-3382	71	32	(	(	PUNCT
ejpam-3382	71	33	6	6	NUM
ejpam-3382	71	34	)	)	PUNCT
ejpam-3382	71	35	where	where	SCONJ
ejpam-3382	71	36	ai(t	ai(t	NOUN
ejpam-3382	71	37	)	)	PUNCT
ejpam-3382	71	38	∈	∈	PROPN
ejpam-3382	71	39	l2(0	l2(0	NOUN
ejpam-3382	71	40	,	,	PUNCT
ejpam-3382	71	41	t	t	NOUN
ejpam-3382	71	42	)	)	PUNCT
ejpam-3382	71	43	(	(	PUNCT
ejpam-3382	71	44	i	i	NOUN
ejpam-3382	71	45	=	=	NOUN
ejpam-3382	71	46	1	1	NUM
ejpam-3382	71	47	,	,	PUNCT
ejpam-3382	71	48	2	2	NUM
ejpam-3382	71	49	,	,	PUNCT
ejpam-3382	71	50	3	3	NUM
ejpam-3382	71	51	)	)	PUNCT
ejpam-3382	71	52	and	and	CCONJ
ejpam-3382	71	53	0	0	NUM
ejpam-3382	71	54	<	<	X
ejpam-3382	71	55	γ	γ	X
ejpam-3382	71	56	<	<	X
ejpam-3382	71	57	1	1	NUM
ejpam-3382	71	58	;	;	PUNCT
ejpam-3382	71	59	b	b	X
ejpam-3382	71	60	)	)	PUNCT
ejpam-3382	71	61	the	the	DET
ejpam-3382	71	62	operator	operator	NOUN
ejpam-3382	71	63	f2	f2	PROPN
ejpam-3382	71	64	acts	act	VERB
ejpam-3382	71	65	from	from	ADP
ejpam-3382	71	66	the	the	DET
ejpam-3382	71	67	closed	closed	ADJ
ejpam-3382	71	68	ballk∗	ballk∗	NOUN
ejpam-3382	71	69	(	(	PUNCT
ejpam-3382	71	70	‖u‖b2	‖u‖b2	PROPN
ejpam-3382	71	71	2,t	2,t	NUM
ejpam-3382	71	72	≤	≤	NUM
ejpam-3382	71	73	1	1	NUM
ejpam-3382	71	74	λ1	λ1	NOUN
ejpam-3382	71	75	a	a	NOUN
ejpam-3382	71	76	)	)	PUNCT
ejpam-3382	71	77	into	into	ADP
ejpam-3382	71	78	the	the	DET
ejpam-3382	71	79	spacew	spacew	NOUN
ejpam-3382	71	80	0,1	0,1	NUM
ejpam-3382	71	81	t	t	PROPN
ejpam-3382	71	82	,	,	PUNCT
ejpam-3382	71	83	x,2(qt	x,2(qt	PROPN
ejpam-3382	71	84	)	)	PUNCT
ejpam-3382	71	85	continuously	continuously	ADV
ejpam-3382	71	86	,	,	PUNCT
ejpam-3382	71	87	where	where	SCONJ
ejpam-3382	71	88	a	a	DET
ejpam-3382	71	89	>	>	X
ejpam-3382	71	90	a0	a0	PROPN
ejpam-3382	71	91	≡	≡	PROPN
ejpam-3382	71	92	max{y	max{y	NOUN
ejpam-3382	71	93	:	:	PUNCT
ejpam-3382	71	94	y2	y2	NOUN
ejpam-3382	71	95	≤	≤	NOUN
ejpam-3382	71	96	(	(	PUNCT
ejpam-3382	71	97	a1	a1	NOUN
ejpam-3382	71	98	+	+	NOUN
ejpam-3382	71	99	a2	a2	NOUN
ejpam-3382	71	100	|y|2γ	|y|2γ	NOUN
ejpam-3382	71	101	)	)	PUNCT
ejpam-3382	71	102	·	·	PUNCT
ejpam-3382	71	103	a3	a3	NOUN
ejpam-3382	71	104	}	}	PUNCT
ejpam-3382	71	105	,	,	PUNCT
ejpam-3382	71	106	(	(	PUNCT
ejpam-3382	71	107	7	7	X
ejpam-3382	71	108	)	)	PUNCT
ejpam-3382	71	109	a1	a1	NOUN
ejpam-3382	71	110	≡	≡	PROPN
ejpam-3382	71	111	2	2	NUM
ejpam-3382	72	1	‖w(t	‖w(t	PROPN
ejpam-3382	72	2	,	,	PUNCT
ejpam-3382	72	3	x)‖2	x)‖2	NOUN
ejpam-3382	73	1	b3,2	b3,2	ADJ
ejpam-3382	73	2	2,2,t	2,2,t	NOUN
ejpam-3382	73	3	+	+	CCONJ
ejpam-3382	73	4	6(2	6(2	NUM
ejpam-3382	73	5	t	t	NOUN
ejpam-3382	73	6	+	+	NOUN
ejpam-3382	73	7	1	1	NUM
ejpam-3382	73	8	)	)	PUNCT
ejpam-3382	74	1	·	·	PUNCT
ejpam-3382	74	2	c2	c2	PROPN
ejpam-3382	74	3	0	0	NUM
ejpam-3382	74	4	·	·	PUNCT
ejpam-3382	74	5	‖a1(t)‖2l2(0,t	‖a1(t)‖2l2(0,t	NOUN
ejpam-3382	74	6	)	)	PUNCT
ejpam-3382	74	7	,	,	PUNCT
ejpam-3382	74	8	(	(	PUNCT
ejpam-3382	74	9	8)	8)	NUM
ejpam-3382	74	10	a2	a2	PROPN
ejpam-3382	74	11	≡	≡	PROPN
ejpam-3382	74	12	6(2	6(2	PROPN
ejpam-3382	74	13	t	t	NOUN
ejpam-3382	74	14	+	+	NOUN
ejpam-3382	74	15	1	1	NUM
ejpam-3382	74	16	)	)	PUNCT
ejpam-3382	74	17	·	·	PUNCT
ejpam-3382	75	1	c2	c2	PROPN
ejpam-3382	75	2	0	0	NUM
ejpam-3382	75	3	·	·	SYM
ejpam-3382	75	4	1	1	NUM
ejpam-3382	75	5	λ2γ	λ2γ	SYM
ejpam-3382	75	6	1	1	NUM
ejpam-3382	75	7	·	·	PUNCT
ejpam-3382	75	8	‖a2(t)‖2l2(0,t	‖a2(t)‖2l2(0,t	NOUN
ejpam-3382	75	9	)	)	PUNCT
ejpam-3382	75	10	,	,	PUNCT
ejpam-3382	75	11	(	(	PUNCT
ejpam-3382	75	12	9	9	X
ejpam-3382	75	13	)	)	PUNCT
ejpam-3382	75	14	s.	s.	PROPN
ejpam-3382	75	15	j.aliyev	j.aliyev	PROPN
ejpam-3382	75	16	,	,	PUNCT
ejpam-3382	75	17	a.	a.	PROPN
ejpam-3382	75	18	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	75	19	,	,	PUNCT
ejpam-3382	75	20	g.	g.	PROPN
ejpam-3382	75	21	z.	z.	PROPN
ejpam-3382	75	22	abdullayeva	abdullayeva	PROPN
ejpam-3382	75	23	/	/	SYM
ejpam-3382	75	24	eur	eur	PROPN
ejpam-3382	75	25	.	.	PUNCT
ejpam-3382	76	1	j.	j.	PROPN
ejpam-3382	76	2	pure	pure	PROPN
ejpam-3382	76	3	appl	appl	PROPN
ejpam-3382	76	4	.	.	PROPN
ejpam-3382	76	5	math	math	PROPN
ejpam-3382	76	6	,	,	PUNCT
ejpam-3382	76	7	12	12	NUM
ejpam-3382	76	8	(	(	PUNCT
ejpam-3382	76	9	2	2	NUM
ejpam-3382	76	10	)	)	PUNCT
ejpam-3382	76	11	(	(	PUNCT
ejpam-3382	76	12	2019	2019	NUM
ejpam-3382	76	13	)	)	PUNCT
ejpam-3382	76	14	,	,	PUNCT
ejpam-3382	76	15	577	577	NUM
ejpam-3382	76	16	-	-	SYM
ejpam-3382	76	17	589	589	NUM
ejpam-3382	76	18	581	581	NUM
ejpam-3382	76	19	a3	a3	NOUN
ejpam-3382	76	20	≡	≡	PROPN
ejpam-3382	76	21	exp	exp	NOUN
ejpam-3382	76	22	{	{	PUNCT
ejpam-3382	76	23	6(2	6(2	NOUN
ejpam-3382	76	24	t	t	NOUN
ejpam-3382	76	25	+	+	NOUN
ejpam-3382	76	26	1	1	NUM
ejpam-3382	76	27	)	)	PUNCT
ejpam-3382	76	28	·	·	PUNCT
ejpam-3382	77	1	c2	c2	PROPN
ejpam-3382	77	2	0	0	NUM
ejpam-3382	77	3	·	·	SYM
ejpam-3382	77	4	1	1	NUM
ejpam-3382	77	5	λ2	λ2	NOUN
ejpam-3382	77	6	1	1	NUM
ejpam-3382	77	7	·	·	PUNCT
ejpam-3382	77	8	‖a3(t)‖2l2(0,t	‖a3(t)‖2l2(0,t	NOUN
ejpam-3382	77	9	)	)	PUNCT
ejpam-3382	77	10	}	}	PUNCT
ejpam-3382	77	11	,	,	PUNCT
ejpam-3382	77	12	(	(	PUNCT
ejpam-3382	77	13	10	10	NUM
ejpam-3382	77	14	)	)	PUNCT
ejpam-3382	77	15	w(t	w(t	PROPN
ejpam-3382	77	16	,	,	PUNCT
ejpam-3382	77	17	x	x	X
ejpam-3382	77	18	)	)	PUNCT
ejpam-3382	77	19	=	=	PUNCT
ejpam-3382	78	1	∞∑	∞∑	NUM
ejpam-3382	78	2	s=1	s=1	X
ejpam-3382	78	3	{	{	PUNCT
ejpam-3382	79	1	ϕs	ϕs	INTJ
ejpam-3382	80	1	+	+	CCONJ
ejpam-3382	80	2	1	1	NUM
ejpam-3382	80	3	λ2	λ2	NOUN
ejpam-3382	80	4	s	s	PART
ejpam-3382	80	5	[	[	PUNCT
ejpam-3382	80	6	1−	1−	NUM
ejpam-3382	80	7	e−λ2st	e−λ2st	NOUN
ejpam-3382	80	8	]	]	PUNCT
ejpam-3382	80	9	ψs	ψs	ADP
ejpam-3382	80	10	}	}	PUNCT
ejpam-3382	80	11	·	·	PUNCT
ejpam-3382	80	12	vs(x	vs(x	NUM
ejpam-3382	80	13	)	)	PUNCT
ejpam-3382	80	14	,	,	PUNCT
ejpam-3382	80	15	(	(	PUNCT
ejpam-3382	80	16	11	11	X
ejpam-3382	80	17	)	)	PUNCT
ejpam-3382	80	18	c0	c0	PROPN
ejpam-3382	80	19	≡	≡	PROPN
ejpam-3382	80	20	max	max	PROPN
ejpam-3382	80	21	{	{	PUNCT
ejpam-3382	80	22	n	n	PROPN
ejpam-3382	80	23	·	·	PUNCT
ejpam-3382	80	24	max	max	PROPN
ejpam-3382	81	1	i	i	PROPN
ejpam-3382	81	2	,	,	PUNCT
ejpam-3382	81	3	j=1,n	j=1,n	PROPN
ejpam-3382	81	4	{	{	PUNCT
ejpam-3382	81	5	‖aij(x)‖c(ω̄	‖aij(x)‖c(ω̄	ADJ
ejpam-3382	81	6	)	)	PUNCT
ejpam-3382	81	7	}	}	PUNCT
ejpam-3382	81	8	,	,	PUNCT
ejpam-3382	81	9	‖a(x)‖c(ω̄	‖a(x)‖c(ω̄	NOUN
ejpam-3382	81	10	)	)	PUNCT
ejpam-3382	81	11	}	}	PUNCT
ejpam-3382	81	12	1	1	NUM
ejpam-3382	81	13	2	2	NUM
ejpam-3382	81	14	;	;	PUNCT
ejpam-3382	81	15	(	(	PUNCT
ejpam-3382	81	16	12	12	NUM
ejpam-3382	81	17	)	)	PUNCT
ejpam-3382	81	18	c	c	NOUN
ejpam-3382	81	19	)	)	PUNCT
ejpam-3382	81	20	inf	inf	NOUN
ejpam-3382	81	21	u∈m	u∈m	NOUN
ejpam-3382	81	22	{	{	PUNCT
ejpam-3382	81	23	‖u−q1(u)‖	‖u−q1(u)‖	X
ejpam-3382	81	24	b3,2	b3,2	ADJ
ejpam-3382	81	25	2,2,t	2,2,t	NOUN
ejpam-3382	81	26	−	−	PUNCT
ejpam-3382	81	27	‖q2(u)‖	‖q2(u)‖	PUNCT
ejpam-3382	82	1	b3,2	b3,2	ADJ
ejpam-3382	82	2	2,2,t	2,2,t	NUM
ejpam-3382	82	3	}	}	PUNCT
ejpam-3382	82	4	>	>	X
ejpam-3382	82	5	0	0	NUM
ejpam-3382	82	6	,	,	PUNCT
ejpam-3382	82	7	(	(	PUNCT
ejpam-3382	82	8	13	13	NUM
ejpam-3382	82	9	)	)	PUNCT
ejpam-3382	82	10	where	where	SCONJ
ejpam-3382	82	11	m	m	VERB
ejpam-3382	82	12	the	the	DET
ejpam-3382	82	13	boundary	boundary	NOUN
ejpam-3382	82	14	of	of	ADP
ejpam-3382	82	15	the	the	DET
ejpam-3382	82	16	ball	ball	NOUN
ejpam-3382	82	17	k(‖u‖	k(‖u‖	PROPN
ejpam-3382	82	18	b3,2	b3,2	ADJ
ejpam-3382	82	19	2,2,t	2,2,t	PROPN
ejpam-3382	82	20	≤	≤	ADV
ejpam-3382	82	21	a	a	PRON
ejpam-3382	82	22	)	)	PUNCT
ejpam-3382	82	23	,	,	PUNCT
ejpam-3382	82	24	q1(u	q1(u	X
ejpam-3382	82	25	)	)	PUNCT
ejpam-3382	82	26	=	=	SYM
ejpam-3382	83	1	w	w	PROPN
ejpam-3382	84	1	+	+	NUM
ejpam-3382	84	2	p	p	X
ejpam-3382	84	3	(	(	PUNCT
ejpam-3382	84	4	f1(u	f1(u	NOUN
ejpam-3382	84	5	)	)	PUNCT
ejpam-3382	84	6	)	)	PUNCT
ejpam-3382	84	7	,	,	PUNCT
ejpam-3382	84	8	q2(u	q2(u	X
ejpam-3382	84	9	)	)	PUNCT
ejpam-3382	84	10	=	=	SYM
ejpam-3382	85	1	p	p	X
ejpam-3382	85	2	(	(	PUNCT
ejpam-3382	85	3	f2(u	f2(u	NOUN
ejpam-3382	85	4	)	)	PUNCT
ejpam-3382	85	5	)	)	PUNCT
ejpam-3382	85	6	and	and	CCONJ
ejpam-3382	85	7	p	p	X
ejpam-3382	85	8	(	(	PUNCT
ejpam-3382	85	9	u(t	u(t	NOUN
ejpam-3382	85	10	,	,	PUNCT
ejpam-3382	85	11	x	x	NOUN
ejpam-3382	85	12	)	)	PUNCT
ejpam-3382	85	13	)	)	PUNCT
ejpam-3382	86	1	≡	≡	PROPN
ejpam-3382	87	1	∞∑	∞∑	NUM
ejpam-3382	87	2	s=1	s=1	ADP
ejpam-3382	87	3	1	1	NUM
ejpam-3382	87	4	λ2	λ2	NOUN
ejpam-3382	87	5	s	s	VERB
ejpam-3382	87	6	t∫	t∫	NUM
ejpam-3382	87	7	0	0	NUM
ejpam-3382	87	8	∫	∫	PROPN
ejpam-3382	87	9	ω	ω	PROPN
ejpam-3382	87	10	u(τ	u(τ	PROPN
ejpam-3382	87	11	,	,	PUNCT
ejpam-3382	87	12	ξ)vs(ξ	ξ)vs(ξ	NOUN
ejpam-3382	87	13	)	)	PUNCT
ejpam-3382	87	14	·	·	PUNCT
ejpam-3382	88	1	[	[	PUNCT
ejpam-3382	88	2	1−	1−	NUM
ejpam-3382	88	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3382	88	4	)	)	PUNCT
ejpam-3382	88	5	]	]	PUNCT
ejpam-3382	89	1	dξdτ	dξdτ	X
ejpam-3382	89	2	·	·	PUNCT
ejpam-3382	89	3	vs(x	vs(x	NUM
ejpam-3382	89	4	)	)	PUNCT
ejpam-3382	89	5	;	;	PUNCT
ejpam-3382	89	6	(	(	PUNCT
ejpam-3382	89	7	14	14	NUM
ejpam-3382	89	8	)	)	PUNCT
ejpam-3382	89	9	d	d	NOUN
ejpam-3382	89	10	)	)	PUNCT
ejpam-3382	89	11	the	the	DET
ejpam-3382	89	12	operator	operator	NOUN
ejpam-3382	89	13	f3	f3	NOUN
ejpam-3382	89	14	acts	act	VERB
ejpam-3382	89	15	from	from	ADP
ejpam-3382	89	16	the	the	DET
ejpam-3382	89	17	closed	closed	ADJ
ejpam-3382	89	18	ball	ball	NOUN
ejpam-3382	89	19	kρ(‖u‖b3,2	kρ(‖u‖b3,2	NOUN
ejpam-3382	89	20	2,2,t	2,2,t	PROPN
ejpam-3382	89	21	≤	≤	PROPN
ejpam-3382	89	22	ρ	ρ	PROPN
ejpam-3382	89	23	)	)	PUNCT
ejpam-3382	89	24	into	into	ADP
ejpam-3382	89	25	the	the	DET
ejpam-3382	89	26	space	space	NOUN
ejpam-3382	89	27	w	w	PROPN
ejpam-3382	89	28	0,1	0,1	NUM
ejpam-3382	89	29	t	t	PROPN
ejpam-3382	89	30	,	,	PUNCT
ejpam-3382	89	31	x,2(qt	x,2(qt	PROPN
ejpam-3382	89	32	)	)	PUNCT
ejpam-3382	89	33	and	and	CCONJ
ejpam-3382	89	34	for	for	ADP
ejpam-3382	89	35	all	all	DET
ejpam-3382	89	36	u	u	NOUN
ejpam-3382	89	37	,	,	PUNCT
ejpam-3382	89	38	v	v	PROPN
ejpam-3382	89	39	∈	∈	PROPN
ejpam-3382	89	40	kρ	kρ	NOUN
ejpam-3382	89	41	:	:	PUNCT
ejpam-3382	89	42	‖f3(u)−	‖f3(u)−	NOUN
ejpam-3382	89	43	f3(v)‖	f3(v)‖	PROPN
ejpam-3382	89	44	w	w	NOUN
ejpam-3382	89	45	0,1	0,1	NUM
ejpam-3382	89	46	t	t	NOUN
ejpam-3382	89	47	,	,	PUNCT
ejpam-3382	89	48	x,2(qt	x,2(qt	PROPN
ejpam-3382	89	49	)	)	PUNCT
ejpam-3382	89	50	≤	≤	NUM
ejpam-3382	90	1	q	q	NOUN
ejpam-3382	90	2	·	·	PUNCT
ejpam-3382	90	3	‖u−	‖u−	NUM
ejpam-3382	90	4	v‖	v‖	NOUN
ejpam-3382	90	5	b3,2	b3,2	ADJ
ejpam-3382	90	6	2,2,t	2,2,t	NUM
ejpam-3382	90	7	,	,	PUNCT
ejpam-3382	90	8	(	(	PUNCT
ejpam-3382	90	9	15	15	NUM
ejpam-3382	90	10	)	)	PUNCT
ejpam-3382	90	11	where	where	SCONJ
ejpam-3382	90	12	ρ	ρ	PROPN
ejpam-3382	90	13	≥	≥	NOUN
ejpam-3382	90	14	a	a	X
ejpam-3382	90	15	,	,	PUNCT
ejpam-3382	90	16	ρ	ρ	PROPN
ejpam-3382	90	17	≥	≥	NUM
ejpam-3382	90	18	ρ0	ρ0	PROPN
ejpam-3382	90	19	≡	≡	PROPN
ejpam-3382	90	20	sup	sup	NOUN
ejpam-3382	90	21	u∈k	u∈k	NOUN
ejpam-3382	90	22	{	{	PUNCT
ejpam-3382	90	23	‖q1(u	‖q1(u	PROPN
ejpam-3382	90	24	)	)	PUNCT
ejpam-3382	91	1	+	+	NOUN
ejpam-3382	91	2	q2(u)‖	q2(u)‖	NOUN
ejpam-3382	91	3	b3,2	b3,2	ADJ
ejpam-3382	91	4	2,2,t	2,2,t	NUM
ejpam-3382	91	5	}	}	PUNCT
ejpam-3382	91	6	,	,	PUNCT
ejpam-3382	91	7	(	(	PUNCT
ejpam-3382	91	8	√	√	PROPN
ejpam-3382	91	9	t	t	NOUN
ejpam-3382	91	10	+	+	CCONJ
ejpam-3382	91	11	1√	1√	PROPN
ejpam-3382	91	12	2	2	NUM
ejpam-3382	91	13	)	)	PUNCT
ejpam-3382	91	14	·	·	PUNCT
ejpam-3382	92	1	c0	c0	X
ejpam-3382	92	2	·	·	PUNCT
ejpam-3382	92	3	q	q	PROPN
ejpam-3382	92	4	≡	≡	PROPN
ejpam-3382	92	5	q0	q0	VERB
ejpam-3382	92	6	≤	≤	NOUN
ejpam-3382	92	7	1−	1−	NUM
ejpam-3382	93	1	ρ0	ρ0	PROPN
ejpam-3382	93	2	ρ	ρ	PROPN
ejpam-3382	93	3	,	,	PUNCT
ejpam-3382	93	4	q0	q0	VERB
ejpam-3382	93	5	<	<	X
ejpam-3382	93	6	1	1	NUM
ejpam-3382	93	7	;	;	PUNCT
ejpam-3382	93	8	(	(	PUNCT
ejpam-3382	93	9	16	16	NUM
ejpam-3382	93	10	)	)	PUNCT
ejpam-3382	93	11	e	e	NOUN
ejpam-3382	93	12	)	)	PUNCT
ejpam-3382	93	13	inf	inf	NOUN
ejpam-3382	93	14	u∈m	u∈m	NOUN
ejpam-3382	93	15	{	{	PUNCT
ejpam-3382	93	16	‖u−q1(u)−q2(u)‖	‖u−q1(u)−q2(u)‖	PROPN
ejpam-3382	93	17	b3,2	b3,2	NOUN
ejpam-3382	93	18	2,2,t	2,2,t	NOUN
ejpam-3382	93	19	−	−	ADP
ejpam-3382	93	20	‖q3(u)‖	‖q3(u)‖	PROPN
ejpam-3382	94	1	b3,2	b3,2	ADJ
ejpam-3382	94	2	2,2,t	2,2,t	NUM
ejpam-3382	94	3	}	}	PUNCT
ejpam-3382	94	4	>	>	X
ejpam-3382	94	5	0	0	NUM
ejpam-3382	94	6	,	,	PUNCT
ejpam-3382	94	7	q3(u	q3(u	NUM
ejpam-3382	94	8	)	)	PUNCT
ejpam-3382	95	1	=	=	SYM
ejpam-3382	95	2	p	p	X
ejpam-3382	95	3	(	(	PUNCT
ejpam-3382	95	4	f3(u	f3(u	ADJ
ejpam-3382	95	5	)	)	PUNCT
ejpam-3382	95	6	)	)	PUNCT
ejpam-3382	95	7	;	;	PUNCT
ejpam-3382	95	8	(	(	PUNCT
ejpam-3382	95	9	17	17	NUM
ejpam-3382	95	10	)	)	PUNCT
ejpam-3382	95	11	f	f	X
ejpam-3382	95	12	)	)	PUNCT
ejpam-3382	95	13	f3(0	f3(0	PROPN
ejpam-3382	95	14	)	)	PUNCT
ejpam-3382	96	1	=	=	PUNCT
ejpam-3382	96	2	0	0	NUM
ejpam-3382	96	3	.	.	NOUN
ejpam-3382	97	1	3	3	X
ejpam-3382	97	2	.	.	X
ejpam-3382	97	3	a	a	X
ejpam-3382	97	4	)	)	PUNCT
ejpam-3382	97	5	for	for	ADP
ejpam-3382	97	6	any	any	DET
ejpam-3382	97	7	u	u	PROPN
ejpam-3382	97	8	∈	∈	NOUN
ejpam-3382	97	9	b3,2	b3,2	NOUN
ejpam-3382	97	10	2,2,t	2,2,t	NUM
ejpam-3382	97	11	for	for	ADP
ejpam-3382	97	12	almost	almost	ADV
ejpam-3382	97	13	all	all	PRON
ejpam-3382	97	14	t	t	NOUN
ejpam-3382	97	15	∈	∈	PROPN
ejpam-3382	98	1	[	[	X
ejpam-3382	98	2	0	0	NUM
ejpam-3382	98	3	,	,	PUNCT
ejpam-3382	98	4	t	t	X
ejpam-3382	98	5	]	]	PUNCT
ejpam-3382	98	6	,	,	PUNCT
ejpam-3382	98	7	f1(u(t	f1(u(t	PROPN
ejpam-3382	98	8	,	,	PUNCT
ejpam-3382	98	9	x	x	NOUN
ejpam-3382	98	10	)	)	PUNCT
ejpam-3382	98	11	)	)	PUNCT
ejpam-3382	98	12	∈	∈	PROPN
ejpam-3382	98	13	◦	◦	NOUN
ejpam-3382	98	14	d(ω	d(ω	PROPN
ejpam-3382	98	15	)	)	PUNCT
ejpam-3382	98	16	;	;	PUNCT
ejpam-3382	98	17	b	b	X
ejpam-3382	98	18	)	)	PUNCT
ejpam-3382	98	19	for	for	ADP
ejpam-3382	98	20	any	any	DET
ejpam-3382	98	21	u	u	PROPN
ejpam-3382	98	22	∈	∈	PROPN
ejpam-3382	98	23	k	k	NOUN
ejpam-3382	98	24	for	for	ADP
ejpam-3382	98	25	almost	almost	ADV
ejpam-3382	98	26	all	all	PRON
ejpam-3382	98	27	t	t	NOUN
ejpam-3382	98	28	∈	∈	PROPN
ejpam-3382	99	1	[	[	X
ejpam-3382	99	2	0	0	NUM
ejpam-3382	99	3	,	,	PUNCT
ejpam-3382	99	4	t	t	X
ejpam-3382	99	5	]	]	PUNCT
ejpam-3382	99	6	,	,	PUNCT
ejpam-3382	99	7	f2(u(t	f2(u(t	PROPN
ejpam-3382	99	8	,	,	PUNCT
ejpam-3382	99	9	x	x	NOUN
ejpam-3382	99	10	)	)	PUNCT
ejpam-3382	99	11	)	)	PUNCT
ejpam-3382	99	12	∈	∈	PROPN
ejpam-3382	99	13	◦	◦	NOUN
ejpam-3382	99	14	d(ω	d(ω	PROPN
ejpam-3382	99	15	)	)	PUNCT
ejpam-3382	99	16	;	;	PUNCT
ejpam-3382	99	17	c	c	X
ejpam-3382	99	18	)	)	PUNCT
ejpam-3382	99	19	for	for	ADP
ejpam-3382	99	20	any	any	DET
ejpam-3382	99	21	u	u	PROPN
ejpam-3382	99	22	∈	∈	PROPN
ejpam-3382	99	23	kρ	kρ	NOUN
ejpam-3382	99	24	for	for	ADP
ejpam-3382	99	25	almost	almost	ADV
ejpam-3382	99	26	all	all	PRON
ejpam-3382	99	27	t	t	NOUN
ejpam-3382	99	28	∈	∈	PROPN
ejpam-3382	100	1	[	[	X
ejpam-3382	100	2	0	0	NUM
ejpam-3382	100	3	,	,	PUNCT
ejpam-3382	100	4	t	t	X
ejpam-3382	100	5	]	]	PUNCT
ejpam-3382	100	6	,	,	PUNCT
ejpam-3382	100	7	f3(u(t	f3(u(t	PROPN
ejpam-3382	100	8	,	,	PUNCT
ejpam-3382	100	9	x	x	NOUN
ejpam-3382	100	10	)	)	PUNCT
ejpam-3382	100	11	)	)	PUNCT
ejpam-3382	100	12	∈	∈	PROPN
ejpam-3382	100	13	◦	◦	NOUN
ejpam-3382	100	14	d(ω	d(ω	PROPN
ejpam-3382	100	15	)	)	PUNCT
ejpam-3382	100	16	.	.	PUNCT
ejpam-3382	101	1	then	then	ADV
ejpam-3382	101	2	problem	problem	NOUN
ejpam-3382	101	3	(	(	PUNCT
ejpam-3382	101	4	1)-(3	1)-(3	NOUN
ejpam-3382	101	5	)	)	PUNCT
ejpam-3382	101	6	has	have	VERB
ejpam-3382	101	7	an	an	DET
ejpam-3382	101	8	almost	almost	ADV
ejpam-3382	101	9	everywhere	everywhere	ADJ
ejpam-3382	101	10	solution	solution	NOUN
ejpam-3382	101	11	.	.	PUNCT
ejpam-3382	102	1	s.	s.	PROPN
ejpam-3382	102	2	j.aliyev	j.aliyev	PROPN
ejpam-3382	102	3	,	,	PUNCT
ejpam-3382	102	4	a.	a.	PROPN
ejpam-3382	102	5	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	102	6	,	,	PUNCT
ejpam-3382	102	7	g.	g.	PROPN
ejpam-3382	102	8	z.	z.	PROPN
ejpam-3382	102	9	abdullayeva	abdullayeva	PROPN
ejpam-3382	102	10	/	/	SYM
ejpam-3382	102	11	eur	eur	PROPN
ejpam-3382	102	12	.	.	PUNCT
ejpam-3382	103	1	j.	j.	PROPN
ejpam-3382	103	2	pure	pure	PROPN
ejpam-3382	103	3	appl	appl	PROPN
ejpam-3382	103	4	.	.	PROPN
ejpam-3382	103	5	math	math	PROPN
ejpam-3382	103	6	,	,	PUNCT
ejpam-3382	103	7	12	12	NUM
ejpam-3382	103	8	(	(	PUNCT
ejpam-3382	103	9	2	2	NUM
ejpam-3382	103	10	)	)	PUNCT
ejpam-3382	103	11	(	(	PUNCT
ejpam-3382	103	12	2019	2019	NUM
ejpam-3382	103	13	)	)	PUNCT
ejpam-3382	103	14	,	,	PUNCT
ejpam-3382	103	15	577	577	NUM
ejpam-3382	103	16	-	-	SYM
ejpam-3382	103	17	589	589	NUM
ejpam-3382	103	18	582	582	NUM
ejpam-3382	103	19	proof	proof	NOUN
ejpam-3382	103	20	.	.	PUNCT
ejpam-3382	104	1	using	use	VERB
ejpam-3382	104	2	condition	condition	NOUN
ejpam-3382	104	3	3	3	NUM
ejpam-3382	104	4	of	of	ADP
ejpam-3382	104	5	this	this	DET
ejpam-3382	104	6	theorem	theorem	NOUN
ejpam-3382	104	7	,	,	PUNCT
ejpam-3382	104	8	we	we	PRON
ejpam-3382	104	9	have	have	VERB
ejpam-3382	104	10	q1(u(t	q1(u(t	PROPN
ejpam-3382	104	11	,	,	PUNCT
ejpam-3382	104	12	x	x	NOUN
ejpam-3382	104	13	)	)	PUNCT
ejpam-3382	104	14	)	)	PUNCT
ejpam-3382	105	1	=	=	SYM
ejpam-3382	105	2	w(t	w(t	PROPN
ejpam-3382	105	3	,	,	PUNCT
ejpam-3382	105	4	x	x	NOUN
ejpam-3382	105	5	)	)	PUNCT
ejpam-3382	105	6	+	+	CCONJ
ejpam-3382	106	1	∞∑	∞∑	NUM
ejpam-3382	106	2	s=1	s=1	NOUN
ejpam-3382	106	3	1	1	NUM
ejpam-3382	106	4	λ3	λ3	PROPN
ejpam-3382	106	5	s	s	PROPN
ejpam-3382	106	6	t∫	t∫	NUM
ejpam-3382	106	7	0	0	NUM
ejpam-3382	106	8	∫	∫	PROPN
ejpam-3382	106	9	ω	ω	PROPN
ejpam-3382	106	10			PROPN
ejpam-3382	106	11	n∑	n∑	PROPN
ejpam-3382	107	1	i	i	PROPN
ejpam-3382	107	2	,	,	PUNCT
ejpam-3382	107	3	j=1	j=1	PROPN
ejpam-3382	107	4	aij(ξ	aij(ξ	PROPN
ejpam-3382	107	5	)	)	PUNCT
ejpam-3382	107	6	∂	∂	NUM
ejpam-3382	107	7	∂ξi	∂ξi	NOUN
ejpam-3382	107	8	f1(u(τ	f1(u(τ	NUM
ejpam-3382	107	9	,	,	PUNCT
ejpam-3382	107	10	ξ	ξ	NOUN
ejpam-3382	107	11	)	)	PUNCT
ejpam-3382	107	12	)	)	PUNCT
ejpam-3382	107	13	·	·	PUNCT
ejpam-3382	108	1	∂	∂	NUM
ejpam-3382	108	2	∂ξj	∂ξj	NOUN
ejpam-3382	108	3	(	(	PUNCT
ejpam-3382	108	4	vs(ξ	vs(ξ	X
ejpam-3382	108	5	)	)	PUNCT
ejpam-3382	108	6	λs	λs	NOUN
ejpam-3382	108	7	)	)	PUNCT
ejpam-3382	108	8	+	+	ADJ
ejpam-3382	108	9	a(ξ)f1(u(τ	a(ξ)f1(u(τ	ADJ
ejpam-3382	108	10	,	,	PUNCT
ejpam-3382	108	11	ξ	ξ	NOUN
ejpam-3382	108	12	)	)	PUNCT
ejpam-3382	108	13	)	)	PUNCT
ejpam-3382	108	14	·	·	PUNCT
ejpam-3382	108	15	vs(ξ	vs(ξ	X
ejpam-3382	108	16	)	)	PUNCT
ejpam-3382	108	17	λs	λs	ADP
ejpam-3382	108	18	]	]	PUNCT
ejpam-3382	108	19	·	·	PUNCT
ejpam-3382	108	20	[	[	PUNCT
ejpam-3382	108	21	1−	1−	NUM
ejpam-3382	108	22	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3382	108	23	)	)	PUNCT
ejpam-3382	108	24	]	]	PUNCT
ejpam-3382	108	25	dξdτ	dξdτ	X
ejpam-3382	108	26	·	·	PUNCT
ejpam-3382	108	27	vs(x	vs(x	NUM
ejpam-3382	108	28	)	)	PUNCT
ejpam-3382	108	29	∀u	∀u	NOUN
ejpam-3382	108	30	∈	∈	NOUN
ejpam-3382	108	31	b3,2	b3,2	NOUN
ejpam-3382	108	32	2,2,t	2,2,t	NUM
ejpam-3382	108	33	,	,	PUNCT
ejpam-3382	108	34	(	(	PUNCT
ejpam-3382	108	35	18	18	NUM
ejpam-3382	108	36	)	)	PUNCT
ejpam-3382	108	37	q2(u(t	q2(u(t	PROPN
ejpam-3382	108	38	,	,	PUNCT
ejpam-3382	108	39	x	x	NOUN
ejpam-3382	108	40	)	)	PUNCT
ejpam-3382	108	41	)	)	PUNCT
ejpam-3382	109	1	=	=	PUNCT
ejpam-3382	110	1	∞∑	∞∑	NUM
ejpam-3382	110	2	s=1	s=1	NOUN
ejpam-3382	110	3	1	1	NUM
ejpam-3382	110	4	λ3	λ3	PROPN
ejpam-3382	110	5	s	s	PROPN
ejpam-3382	110	6	t∫	t∫	NUM
ejpam-3382	110	7	0	0	NUM
ejpam-3382	110	8	∫	∫	PROPN
ejpam-3382	110	9	ω	ω	PROPN
ejpam-3382	110	10			PROPN
ejpam-3382	110	11	n∑	n∑	PROPN
ejpam-3382	110	12	i	i	PROPN
ejpam-3382	110	13	,	,	PUNCT
ejpam-3382	110	14	j=1	j=1	PROPN
ejpam-3382	110	15	aij(ξ	aij(ξ	PROPN
ejpam-3382	110	16	)	)	PUNCT
ejpam-3382	110	17	∂	∂	NUM
ejpam-3382	110	18	∂ξi	∂ξi	NOUN
ejpam-3382	110	19	f2(u(τ	f2(u(τ	PROPN
ejpam-3382	110	20	,	,	PUNCT
ejpam-3382	110	21	ξ	ξ	NOUN
ejpam-3382	110	22	)	)	PUNCT
ejpam-3382	110	23	)	)	PUNCT
ejpam-3382	110	24	·	·	PUNCT
ejpam-3382	110	25	∂	∂	NUM
ejpam-3382	111	1	∂ξj	∂ξj	NOUN
ejpam-3382	111	2	(	(	PUNCT
ejpam-3382	111	3	vs(ξ	vs(ξ	X
ejpam-3382	111	4	)	)	PUNCT
ejpam-3382	111	5	λs	λs	NOUN
ejpam-3382	111	6	)	)	PUNCT
ejpam-3382	112	1	+	+	ADJ
ejpam-3382	112	2	a(ξ)f2(u(τ	a(ξ)f2(u(τ	PROPN
ejpam-3382	112	3	,	,	PUNCT
ejpam-3382	112	4	ξ	ξ	NOUN
ejpam-3382	112	5	)	)	PUNCT
ejpam-3382	112	6	)	)	PUNCT
ejpam-3382	112	7	·	·	PUNCT
ejpam-3382	113	1	vs(ξ	vs(ξ	X
ejpam-3382	113	2	)	)	PUNCT
ejpam-3382	113	3	λs	λs	ADP
ejpam-3382	113	4	]	]	PUNCT
ejpam-3382	113	5	·	·	PUNCT
ejpam-3382	114	1	[	[	PUNCT
ejpam-3382	114	2	1−	1−	NUM
ejpam-3382	114	3	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3382	114	4	)	)	PUNCT
ejpam-3382	114	5	]	]	PUNCT
ejpam-3382	115	1	dξdτ	dξdτ	X
ejpam-3382	115	2	·	·	PUNCT
ejpam-3382	115	3	vs(x	vs(x	NUM
ejpam-3382	115	4	)	)	PUNCT
ejpam-3382	115	5	∀u	∀u	NOUN
ejpam-3382	115	6	∈	∈	PROPN
ejpam-3382	115	7	k	k	X
ejpam-3382	115	8	,	,	PUNCT
ejpam-3382	115	9	(	(	PUNCT
ejpam-3382	115	10	19	19	NUM
ejpam-3382	115	11	)	)	PUNCT
ejpam-3382	115	12	q3(u(t	q3(u(t	VERB
ejpam-3382	115	13	,	,	PUNCT
ejpam-3382	115	14	x	x	NOUN
ejpam-3382	115	15	)	)	PUNCT
ejpam-3382	115	16	)	)	PUNCT
ejpam-3382	116	1	=	=	PUNCT
ejpam-3382	117	1	∞∑	∞∑	NUM
ejpam-3382	117	2	s=1	s=1	NOUN
ejpam-3382	117	3	1	1	NUM
ejpam-3382	117	4	λ3	λ3	PROPN
ejpam-3382	117	5	s	s	PROPN
ejpam-3382	117	6	t∫	t∫	NUM
ejpam-3382	117	7	0	0	NUM
ejpam-3382	117	8	∫	∫	PROPN
ejpam-3382	117	9	ω	ω	PROPN
ejpam-3382	117	10			PROPN
ejpam-3382	117	11	n∑	n∑	PROPN
ejpam-3382	117	12	i	i	PROPN
ejpam-3382	117	13	,	,	PUNCT
ejpam-3382	117	14	j=1	j=1	PROPN
ejpam-3382	117	15	aij(ξ	aij(ξ	PROPN
ejpam-3382	117	16	)	)	PUNCT
ejpam-3382	117	17	∂	∂	NUM
ejpam-3382	117	18	∂ξi	∂ξi	NOUN
ejpam-3382	117	19	f3(u(τ	f3(u(τ	NOUN
ejpam-3382	117	20	,	,	PUNCT
ejpam-3382	117	21	ξ	ξ	NOUN
ejpam-3382	117	22	)	)	PUNCT
ejpam-3382	117	23	)	)	PUNCT
ejpam-3382	117	24	·	·	PUNCT
ejpam-3382	117	25	∂	∂	NUM
ejpam-3382	117	26	∂ξj	∂ξj	NOUN
ejpam-3382	117	27	(	(	PUNCT
ejpam-3382	117	28	vs(ξ	vs(ξ	X
ejpam-3382	117	29	)	)	PUNCT
ejpam-3382	117	30	λs	λs	NOUN
ejpam-3382	117	31	)	)	PUNCT
ejpam-3382	118	1	+	+	PUNCT
ejpam-3382	118	2	a(ξ)f3(u(τ	a(ξ)f3(u(τ	PROPN
ejpam-3382	118	3	,	,	PUNCT
ejpam-3382	118	4	ξ	ξ	NOUN
ejpam-3382	118	5	)	)	PUNCT
ejpam-3382	118	6	)	)	PUNCT
ejpam-3382	118	7	·	·	PUNCT
ejpam-3382	118	8	vs(ξ	vs(ξ	X
ejpam-3382	118	9	)	)	PUNCT
ejpam-3382	118	10	λs	λs	ADP
ejpam-3382	118	11	]	]	PUNCT
ejpam-3382	118	12	·	·	PUNCT
ejpam-3382	118	13	[	[	PUNCT
ejpam-3382	118	14	1−	1−	NUM
ejpam-3382	118	15	e−λ2s(t−τ	e−λ2s(t−τ	NOUN
ejpam-3382	118	16	)	)	PUNCT
ejpam-3382	118	17	]	]	PUNCT
ejpam-3382	119	1	dξdτ	dξdτ	X
ejpam-3382	119	2	·	·	PUNCT
ejpam-3382	119	3	vs(x	vs(x	NUM
ejpam-3382	119	4	)	)	PUNCT
ejpam-3382	119	5	∀u	∀u	NOUN
ejpam-3382	119	6	∈	∈	NOUN
ejpam-3382	119	7	kρ	kρ	NOUN
ejpam-3382	119	8	.	.	PUNCT
ejpam-3382	120	1	(	(	PUNCT
ejpam-3382	120	2	20	20	NUM
ejpam-3382	120	3	)	)	PUNCT
ejpam-3382	120	4	it	it	PRON
ejpam-3382	120	5	is	be	AUX
ejpam-3382	120	6	easy	easy	ADJ
ejpam-3382	120	7	to	to	PART
ejpam-3382	120	8	obtain	obtain	VERB
ejpam-3382	120	9	that	that	PRON
ejpam-3382	120	10	,	,	PUNCT
ejpam-3382	120	11	for	for	ADP
ejpam-3382	120	12	any	any	DET
ejpam-3382	120	13	u	u	NOUN
ejpam-3382	120	14	,	,	PUNCT
ejpam-3382	120	15	v	v	NOUN
ejpam-3382	120	16	∈	∈	NOUN
ejpam-3382	120	17	b3,2	b3,2	NOUN
ejpam-3382	120	18	2,2,t	2,2,t	NUM
ejpam-3382	120	19	‖q1(u)−q1(v)‖	‖q1(u)−q1(v)‖	NOUN
ejpam-3382	120	20	b3,2	b3,2	NOUN
ejpam-3382	120	21	2,2,t	2,2,t	NUM
ejpam-3382	120	22	≤	≤	NUM
ejpam-3382	120	23	(	(	PUNCT
ejpam-3382	121	1	√	√	NUM
ejpam-3382	121	2	t	t	NOUN
ejpam-3382	122	1	+	+	CCONJ
ejpam-3382	122	2	1√	1√	PROPN
ejpam-3382	122	3	2	2	NUM
ejpam-3382	122	4	)	)	PUNCT
ejpam-3382	122	5			PUNCT
ejpam-3382	122	6	t∫	t∫	PROPN
ejpam-3382	122	7	0	0	NUM
ejpam-3382	122	8	∫	∫	PROPN
ejpam-3382	122	9	ω	ω	PROPN
ejpam-3382	122	10			PROPN
ejpam-3382	123	1	n∑	n∑	PROPN
ejpam-3382	123	2	i	i	PROPN
ejpam-3382	123	3	,	,	PUNCT
ejpam-3382	123	4	j=1	j=1	PROPN
ejpam-3382	123	5	aij(ξ	aij(ξ	PROPN
ejpam-3382	123	6	)	)	PUNCT
ejpam-3382	123	7	∂	∂	NOUN
ejpam-3382	123	8	∂ξi	∂ξi	NOUN
ejpam-3382	123	9	(	(	PUNCT
ejpam-3382	123	10	f1(u(τ	f1(u(τ	PROPN
ejpam-3382	123	11	,	,	PUNCT
ejpam-3382	123	12	ξ	ξ	NOUN
ejpam-3382	123	13	)	)	PUNCT
ejpam-3382	123	14	)	)	PUNCT
ejpam-3382	123	15	−f1(v(τ	−f1(v(τ	NUM
ejpam-3382	123	16	,	,	PUNCT
ejpam-3382	123	17	ξ	ξ	NOUN
ejpam-3382	123	18	)	)	PUNCT
ejpam-3382	123	19	)	)	PUNCT
ejpam-3382	123	20	)	)	PUNCT
ejpam-3382	123	21	·	·	PUNCT
ejpam-3382	124	1	∂	∂	NUM
ejpam-3382	124	2	∂ξj	∂ξj	NOUN
ejpam-3382	124	3	(	(	PUNCT
ejpam-3382	124	4	f1(u(τ	f1(u(τ	PROPN
ejpam-3382	124	5	,	,	PUNCT
ejpam-3382	124	6	ξ))−	ξ))−	NUM
ejpam-3382	124	7	f1(v(τ	f1(v(τ	NOUN
ejpam-3382	124	8	,	,	PUNCT
ejpam-3382	124	9	ξ	ξ	NOUN
ejpam-3382	124	10	)	)	PUNCT
ejpam-3382	124	11	)	)	PUNCT
ejpam-3382	124	12	)	)	PUNCT
ejpam-3382	125	1	+	+	CCONJ
ejpam-3382	125	2	a(ξ)(f1(u(τ	a(ξ)(f1(u(τ	ADJ
ejpam-3382	125	3	,	,	PUNCT
ejpam-3382	125	4	ξ))−	ξ))−	NUM
ejpam-3382	125	5	f1(v(τ	f1(v(τ	NOUN
ejpam-3382	125	6	,	,	PUNCT
ejpam-3382	125	7	ξ)))2	ξ)))2	VERB
ejpam-3382	125	8	]	]	PUNCT
ejpam-3382	125	9	dξdτ	dξdτ	X
ejpam-3382	125	10	}	}	PUNCT
ejpam-3382	125	11	1	1	NUM
ejpam-3382	125	12	2	2	NUM
ejpam-3382	125	13	≤	≤	NOUN
ejpam-3382	125	14	(	(	PUNCT
ejpam-3382	125	15	√	√	NUM
ejpam-3382	125	16	t	t	NOUN
ejpam-3382	125	17	+	+	CCONJ
ejpam-3382	125	18	1√	1√	PROPN
ejpam-3382	125	19	2	2	NUM
ejpam-3382	125	20	)	)	PUNCT
ejpam-3382	125	21	·	·	PUNCT
ejpam-3382	126	1	c0	c0	PROPN
ejpam-3382	126	2	·	·	PUNCT
ejpam-3382	126	3	‖f1(u(t	‖f1(u(t	PROPN
ejpam-3382	126	4	,	,	PUNCT
ejpam-3382	126	5	x))−	x))−	PROPN
ejpam-3382	126	6	f1(v(t	f1(v(t	PROPN
ejpam-3382	126	7	,	,	PUNCT
ejpam-3382	126	8	x))‖	x))‖	PROPN
ejpam-3382	126	9	w	w	ADP
ejpam-3382	126	10	0,1	0,1	NUM
ejpam-3382	126	11	t	t	NOUN
ejpam-3382	126	12	,	,	PUNCT
ejpam-3382	126	13	x,2(qt	x,2(qt	PROPN
ejpam-3382	126	14	)	)	PUNCT
ejpam-3382	126	15	.	.	PUNCT
ejpam-3382	127	1	(	(	PUNCT
ejpam-3382	127	2	21	21	NUM
ejpam-3382	127	3	)	)	PUNCT
ejpam-3382	127	4	from	from	ADP
ejpam-3382	127	5	(	(	PUNCT
ejpam-3382	127	6	21	21	NUM
ejpam-3382	127	7	)	)	PUNCT
ejpam-3382	127	8	by	by	ADP
ejpam-3382	127	9	virtue	virtue	NOUN
ejpam-3382	127	10	of	of	ADP
ejpam-3382	127	11	the	the	DET
ejpam-3382	127	12	condition	condition	NOUN
ejpam-3382	127	13	2a	2a	NUM
ejpam-3382	127	14	this	this	PRON
ejpam-3382	127	15	theorem	theorem	VERB
ejpam-3382	127	16	it	it	PRON
ejpam-3382	127	17	follows	follow	VERB
ejpam-3382	127	18	that	that	SCONJ
ejpam-3382	127	19	the	the	DET
ejpam-3382	127	20	operator	operator	NOUN
ejpam-3382	127	21	q1	q1	NOUN
ejpam-3382	127	22	acts	act	VERB
ejpam-3382	127	23	continuously	continuously	ADV
ejpam-3382	127	24	from	from	ADP
ejpam-3382	127	25	the	the	DET
ejpam-3382	127	26	b2	b2	NOUN
ejpam-3382	127	27	2,t	2,t	NOUN
ejpam-3382	127	28	into	into	ADP
ejpam-3382	127	29	b3,2	b3,2	ADJ
ejpam-3382	127	30	2,2,t	2,2,t	NOUN
ejpam-3382	127	31	.	.	PUNCT
ejpam-3382	128	1	since	since	SCONJ
ejpam-3382	128	2	,	,	PUNCT
ejpam-3382	128	3	the	the	DET
ejpam-3382	128	4	space	space	NOUN
ejpam-3382	128	5	b3,2	b3,2	PROPN
ejpam-3382	128	6	2,2,t	2,2,t	NUM
ejpam-3382	128	7	imbedded	imbed	VERB
ejpam-3382	128	8	into	into	ADP
ejpam-3382	128	9	the	the	DET
ejpam-3382	128	10	space	space	NOUN
ejpam-3382	128	11	b2	b2	NOUN
ejpam-3382	128	12	2,t	2,t	NOUN
ejpam-3382	128	13	compactly	compactly	ADV
ejpam-3382	128	14	(	(	PUNCT
ejpam-3382	128	15	[	[	X
ejpam-3382	128	16	6	6	NUM
ejpam-3382	128	17	,	,	PUNCT
ejpam-3382	128	18	theorem	theorem	VERB
ejpam-3382	128	19	1.1	1.1	NUM
ejpam-3382	128	20	,	,	PUNCT
ejpam-3382	128	21	p.51	p.51	NOUN
ejpam-3382	128	22	]	]	X
ejpam-3382	128	23	)	)	PUNCT
ejpam-3382	128	24	,	,	PUNCT
ejpam-3382	128	25	then	then	ADV
ejpam-3382	128	26	the	the	DET
ejpam-3382	128	27	operator	operator	NOUN
ejpam-3382	128	28	q1	q1	NOUN
ejpam-3382	128	29	acts	act	VERB
ejpam-3382	128	30	in	in	ADP
ejpam-3382	128	31	the	the	DET
ejpam-3382	128	32	b3,2	b3,2	PROPN
ejpam-3382	128	33	2,2,t	2,2,t	NOUN
ejpam-3382	128	34	compactly	compactly	ADV
ejpam-3382	128	35	.	.	PUNCT
ejpam-3382	129	1	we	we	PRON
ejpam-3382	129	2	consider	consider	VERB
ejpam-3382	129	3	in	in	ADP
ejpam-3382	129	4	b3,2	b3,2	ADJ
ejpam-3382	129	5	2,2,t	2,2,t	NOUN
ejpam-3382	129	6	the	the	DET
ejpam-3382	129	7	equations	equation	NOUN
ejpam-3382	129	8	u	u	NOUN
ejpam-3382	129	9	=	=	SYM
ejpam-3382	129	10	µq1(u	µq1(u	PROPN
ejpam-3382	129	11	)	)	PUNCT
ejpam-3382	129	12	µ	µ	PROPN
ejpam-3382	129	13	∈	∈	NOUN
ejpam-3382	130	1	[	[	X
ejpam-3382	130	2	0	0	NUM
ejpam-3382	130	3	,	,	PUNCT
ejpam-3382	130	4	1	1	NUM
ejpam-3382	130	5	]	]	PUNCT
ejpam-3382	130	6	,	,	PUNCT
ejpam-3382	130	7	(	(	PUNCT
ejpam-3382	130	8	22	22	NUM
ejpam-3382	130	9	)	)	PUNCT
ejpam-3382	130	10	and	and	CCONJ
ejpam-3382	130	11	a	a	DET
ejpam-3382	130	12	priori	priori	ADJ
ejpam-3382	130	13	estimate	estimate	NOUN
ejpam-3382	130	14	their	their	PRON
ejpam-3382	130	15	all	all	DET
ejpam-3382	130	16	the	the	DET
ejpam-3382	130	17	possible	possible	ADJ
ejpam-3382	130	18	solutions	solution	NOUN
ejpam-3382	130	19	uµ(t	uµ(t	NOUN
ejpam-3382	130	20	,	,	PUNCT
ejpam-3382	130	21	x	x	NOUN
ejpam-3382	130	22	)	)	PUNCT
ejpam-3382	130	23	.	.	PUNCT
ejpam-3382	131	1	then	then	ADV
ejpam-3382	131	2	,	,	PUNCT
ejpam-3382	131	3	using	use	VERB
ejpam-3382	131	4	inequality	inequality	NOUN
ejpam-3382	131	5	(	(	PUNCT
ejpam-3382	131	6	6	6	NUM
ejpam-3382	131	7	)	)	PUNCT
ejpam-3382	131	8	∀µ	∀µ	PROPN
ejpam-3382	131	9	∈	∈	PROPN
ejpam-3382	132	1	[	[	X
ejpam-3382	132	2	0	0	NUM
ejpam-3382	132	3	,	,	PUNCT
ejpam-3382	132	4	1	1	NUM
ejpam-3382	132	5	]	]	PUNCT
ejpam-3382	132	6	and	and	CCONJ
ejpam-3382	132	7	t	t	PROPN
ejpam-3382	132	8	∈	∈	PROPN
ejpam-3382	133	1	[	[	X
ejpam-3382	133	2	0	0	NUM
ejpam-3382	133	3	,	,	PUNCT
ejpam-3382	133	4	t	t	PROPN
ejpam-3382	133	5	]	]	PUNCT
ejpam-3382	133	6	we	we	PRON
ejpam-3382	133	7	have	have	VERB
ejpam-3382	133	8	s.	s.	PROPN
ejpam-3382	133	9	j.aliyev	j.aliyev	PROPN
ejpam-3382	133	10	,	,	PUNCT
ejpam-3382	133	11	a.	a.	PROPN
ejpam-3382	133	12	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	133	13	,	,	PUNCT
ejpam-3382	133	14	g.	g.	PROPN
ejpam-3382	133	15	z.	z.	PROPN
ejpam-3382	133	16	abdullayeva	abdullayeva	PROPN
ejpam-3382	133	17	/	/	SYM
ejpam-3382	133	18	eur	eur	PROPN
ejpam-3382	133	19	.	.	PUNCT
ejpam-3382	134	1	j.	j.	PROPN
ejpam-3382	134	2	pure	pure	PROPN
ejpam-3382	134	3	appl	appl	PROPN
ejpam-3382	134	4	.	.	PROPN
ejpam-3382	134	5	math	math	PROPN
ejpam-3382	134	6	,	,	PUNCT
ejpam-3382	134	7	12	12	NUM
ejpam-3382	134	8	(	(	PUNCT
ejpam-3382	134	9	2	2	NUM
ejpam-3382	134	10	)	)	PUNCT
ejpam-3382	134	11	(	(	PUNCT
ejpam-3382	134	12	2019	2019	NUM
ejpam-3382	134	13	)	)	PUNCT
ejpam-3382	134	14	,	,	PUNCT
ejpam-3382	134	15	577	577	NUM
ejpam-3382	134	16	-	-	SYM
ejpam-3382	134	17	589	589	NUM
ejpam-3382	134	18	583	583	NUM
ejpam-3382	134	19	‖uµ‖2b3,2	‖uµ‖2b3,2	NOUN
ejpam-3382	134	20	2,2,t	2,2,t	NUM
ejpam-3382	134	21	=	=	SYM
ejpam-3382	134	22	‖µq1(uµ)‖2	‖µq1(uµ)‖2	VERB
ejpam-3382	134	23	b3,2	b3,2	PROPN
ejpam-3382	134	24	2,2,t	2,2,t	PROPN
ejpam-3382	134	25	≤	≤	NOUN
ejpam-3382	134	26	‖q1(uµ)‖2	‖q1(uµ)‖2	NOUN
ejpam-3382	134	27	b3,2	b3,2	ADJ
ejpam-3382	134	28	2,2,t	2,2,t	NUM
ejpam-3382	134	29	≡	≡	PROPN
ejpam-3382	134	30	‖w	‖w	PROPN
ejpam-3382	135	1	+	+	PUNCT
ejpam-3382	136	1	p	p	X
ejpam-3382	136	2	(	(	PUNCT
ejpam-3382	136	3	f1(uµ(t	f1(uµ(t	NOUN
ejpam-3382	136	4	,	,	PUNCT
ejpam-3382	136	5	x)))‖2	x)))‖2	PUNCT
ejpam-3382	136	6	b3,2	b3,2	ADJ
ejpam-3382	136	7	2,2,t	2,2,t	NOUN
ejpam-3382	136	8	≤	≤	NUM
ejpam-3382	136	9	2	2	NUM
ejpam-3382	136	10	‖w‖2	‖w‖2	NOUN
ejpam-3382	136	11	b3,2	b3,2	ADJ
ejpam-3382	136	12	2,2,t	2,2,t	NOUN
ejpam-3382	136	13	+	+	CCONJ
ejpam-3382	136	14	2(2	2(2	NUM
ejpam-3382	136	15	t	t	NOUN
ejpam-3382	136	16	+	+	NOUN
ejpam-3382	136	17	1	1	NUM
ejpam-3382	136	18	)	)	PUNCT
ejpam-3382	136	19	·	·	PUNCT
ejpam-3382	137	1	c2	c2	PROPN
ejpam-3382	137	2	0	0	NUM
ejpam-3382	137	3	·	·	PUNCT
ejpam-3382	138	1	t∫	t∫	DET
ejpam-3382	138	2	0	0	NUM
ejpam-3382	138	3	‖f1(uµ(τ	‖f1(uµ(τ	NOUN
ejpam-3382	138	4	,	,	PUNCT
ejpam-3382	138	5	x))‖2w	x))‖2w	NOUN
ejpam-3382	138	6	1	1	NUM
ejpam-3382	138	7	2	2	NUM
ejpam-3382	138	8	(	(	PUNCT
ejpam-3382	138	9	ω	ω	NOUN
ejpam-3382	138	10	)	)	PUNCT
ejpam-3382	138	11	dτ	dτ	NOUN
ejpam-3382	138	12	≤	≤	ADV
ejpam-3382	138	13	2	2	NUM
ejpam-3382	138	14	‖w‖2	‖w‖2	NOUN
ejpam-3382	138	15	b3,2	b3,2	ADJ
ejpam-3382	138	16	2,2,t	2,2,t	NOUN
ejpam-3382	138	17	+	+	CCONJ
ejpam-3382	138	18	6(2	6(2	NUM
ejpam-3382	138	19	t	t	NOUN
ejpam-3382	138	20	+	+	NOUN
ejpam-3382	138	21	1	1	NUM
ejpam-3382	138	22	)	)	PUNCT
ejpam-3382	138	23	·	·	PUNCT
ejpam-3382	139	1	c2	c2	PROPN
ejpam-3382	139	2	0	0	NUM
ejpam-3382	139	3	·	·	PUNCT
ejpam-3382	139	4	{	{	PUNCT
ejpam-3382	139	5	‖a1(t)‖2l2(0,t	‖a1(t)‖2l2(0,t	NOUN
ejpam-3382	139	6	)	)	PUNCT
ejpam-3382	140	1	+	+	CCONJ
ejpam-3382	140	2	‖a2(t)‖2l2(0,t	‖a2(t)‖2l2(0,t	NOUN
ejpam-3382	140	3	)	)	PUNCT
ejpam-3382	140	4	·	·	PUNCT
ejpam-3382	141	1	1	1	NUM
ejpam-3382	141	2	λ2γ	λ2γ	SYM
ejpam-3382	141	3	1	1	NUM
ejpam-3382	141	4	·	·	PUNCT
ejpam-3382	141	5	‖uµ‖2γ	‖uµ‖2γ	VERB
ejpam-3382	141	6	b3,2	b3,2	NOUN
ejpam-3382	141	7	2,2,t	2,2,t	NUM
ejpam-3382	141	8	}	}	PUNCT
ejpam-3382	141	9	+6(2	+6(2	ADP
ejpam-3382	141	10	t	t	NOUN
ejpam-3382	141	11	+	+	NOUN
ejpam-3382	141	12	1	1	NUM
ejpam-3382	141	13	)	)	PUNCT
ejpam-3382	141	14	·	·	PUNCT
ejpam-3382	142	1	c2	c2	PROPN
ejpam-3382	142	2	0	0	NUM
ejpam-3382	142	3	·	·	SYM
ejpam-3382	142	4	1	1	NUM
ejpam-3382	142	5	λ2	λ2	NOUN
ejpam-3382	142	6	1	1	NUM
ejpam-3382	142	7	t∫	t∫	NOUN
ejpam-3382	142	8	0	0	NUM
ejpam-3382	142	9	a2	a2	PROPN
ejpam-3382	142	10	3(τ	3(τ	NUM
ejpam-3382	142	11	)	)	PUNCT
ejpam-3382	142	12	·	·	PUNCT
ejpam-3382	143	1	‖uµ‖2b3,2	‖uµ‖2b3,2	ADP
ejpam-3382	143	2	2,2,τ	2,2,τ	NUM
ejpam-3382	143	3	dτ	dτ	NOUN
ejpam-3382	143	4	,	,	PUNCT
ejpam-3382	143	5	(	(	PUNCT
ejpam-3382	143	6	23	23	NUM
ejpam-3382	143	7	)	)	PUNCT
ejpam-3382	143	8	where	where	SCONJ
ejpam-3382	143	9	c0	c0	PROPN
ejpam-3382	143	10	is	be	AUX
ejpam-3382	143	11	defined	define	VERB
ejpam-3382	143	12	by	by	ADP
ejpam-3382	143	13	(	(	PUNCT
ejpam-3382	143	14	12	12	NUM
ejpam-3382	143	15	)	)	PUNCT
ejpam-3382	143	16	.	.	PUNCT
ejpam-3382	144	1	from	from	ADP
ejpam-3382	144	2	(	(	PUNCT
ejpam-3382	144	3	23	23	NUM
ejpam-3382	144	4	)	)	PUNCT
ejpam-3382	144	5	,	,	PUNCT
ejpam-3382	144	6	on	on	ADP
ejpam-3382	144	7	applying	apply	VERB
ejpam-3382	144	8	bellman	bellman	NOUN
ejpam-3382	144	9	’s	’s	PART
ejpam-3382	144	10	inequality	inequality	NOUN
ejpam-3382	144	11	[	[	X
ejpam-3382	144	12	4	4	NUM
ejpam-3382	144	13	,	,	PUNCT
ejpam-3382	144	14	pp	pp	ADJ
ejpam-3382	144	15	.	.	PUNCT
ejpam-3382	144	16	188,189	188,189	NUM
ejpam-3382	144	17	]	]	PUNCT
ejpam-3382	144	18	and	and	CCONJ
ejpam-3382	144	19	using	use	VERB
ejpam-3382	144	20	notations	notation	NOUN
ejpam-3382	144	21	(	(	PUNCT
ejpam-3382	144	22	8)-(10	8)-(10	NUM
ejpam-3382	144	23	)	)	PUNCT
ejpam-3382	144	24	,	,	PUNCT
ejpam-3382	144	25	we	we	PRON
ejpam-3382	144	26	obtain	obtain	VERB
ejpam-3382	144	27	that	that	SCONJ
ejpam-3382	144	28	∀µ	∀µ	PROPN
ejpam-3382	144	29	∈	∈	PROPN
ejpam-3382	145	1	[	[	X
ejpam-3382	145	2	0	0	NUM
ejpam-3382	145	3	,	,	PUNCT
ejpam-3382	145	4	1	1	NUM
ejpam-3382	145	5	]	]	PUNCT
ejpam-3382	145	6	:	:	PUNCT
ejpam-3382	145	7	‖uµ‖2b3,2	‖uµ‖2b3,2	ADP
ejpam-3382	145	8	2,2,t	2,2,t	NUM
ejpam-3382	145	9	≤	≤	NUM
ejpam-3382	145	10	(	(	PUNCT
ejpam-3382	145	11	a1	a1	NOUN
ejpam-3382	145	12	+	+	NOUN
ejpam-3382	145	13	a2	a2	PROPN
ejpam-3382	145	14	·	·	PUNCT
ejpam-3382	145	15	‖uµ‖2γ	‖uµ‖2γ	PROPN
ejpam-3382	145	16	b3,2	b3,2	NOUN
ejpam-3382	145	17	2,2,t	2,2,t	NUM
ejpam-3382	145	18	)	)	PUNCT
ejpam-3382	145	19	·	·	PUNCT
ejpam-3382	145	20	a3	a3	NOUN
ejpam-3382	145	21	.	.	PUNCT
ejpam-3382	146	1	from	from	ADP
ejpam-3382	146	2	here	here	ADV
ejpam-3382	146	3	,	,	PUNCT
ejpam-3382	146	4	using	use	VERB
ejpam-3382	146	5	notation	notation	NOUN
ejpam-3382	146	6	(	(	PUNCT
ejpam-3382	146	7	7	7	NUM
ejpam-3382	146	8	)	)	PUNCT
ejpam-3382	146	9	,	,	PUNCT
ejpam-3382	146	10	we	we	PRON
ejpam-3382	146	11	have	have	VERB
ejpam-3382	146	12	‖uµ(t	‖uµ(t	PUNCT
ejpam-3382	146	13	,	,	PUNCT
ejpam-3382	146	14	x)‖2	x)‖2	PUNCT
ejpam-3382	147	1	b3,2	b3,2	ADJ
ejpam-3382	147	2	2,2,t	2,2,t	NUM
ejpam-3382	147	3	≤	≤	ADJ
ejpam-3382	147	4	a0	a0	NOUN
ejpam-3382	147	5	∀µ	∀µ	PROPN
ejpam-3382	147	6	∈	∈	PROPN
ejpam-3382	148	1	[	[	X
ejpam-3382	148	2	0	0	NUM
ejpam-3382	148	3	,	,	PUNCT
ejpam-3382	148	4	1	1	NUM
ejpam-3382	148	5	]	]	PUNCT
ejpam-3382	148	6	,	,	PUNCT
ejpam-3382	148	7	(	(	PUNCT
ejpam-3382	148	8	24	24	NUM
ejpam-3382	148	9	)	)	PUNCT
ejpam-3382	148	10	that	that	PRON
ejpam-3382	148	11	is	be	AUX
ejpam-3382	148	12	,	,	PUNCT
ejpam-3382	148	13	all	all	DET
ejpam-3382	148	14	the	the	DET
ejpam-3382	148	15	possible	possible	ADJ
ejpam-3382	148	16	solutions	solution	NOUN
ejpam-3382	148	17	uµ	uµ	NOUN
ejpam-3382	148	18	of	of	ADP
ejpam-3382	148	19	equations	equation	NOUN
ejpam-3382	148	20	(	(	PUNCT
ejpam-3382	148	21	22	22	NUM
ejpam-3382	148	22	)	)	PUNCT
ejpam-3382	148	23	are	be	AUX
ejpam-3382	148	24	a	a	DET
ejpam-3382	148	25	priori	priori	ADV
ejpam-3382	148	26	bounded	bound	VERB
ejpam-3382	148	27	in	in	ADP
ejpam-3382	148	28	b3,2	b3,2	ADJ
ejpam-3382	148	29	2,2,t	2,2,t	NOUN
ejpam-3382	148	30	and	and	CCONJ
ejpam-3382	148	31	belong	belong	VERB
ejpam-3382	148	32	to	to	ADP
ejpam-3382	148	33	the	the	DET
ejpam-3382	148	34	ball	ball	NOUN
ejpam-3382	149	1	k0(‖u‖	k0(‖u‖	NOUN
ejpam-3382	149	2	b3,2	b3,2	ADJ
ejpam-3382	149	3	2,2,t	2,2,t	PROPN
ejpam-3382	149	4	≤	≤	NUM
ejpam-3382	149	5	a0	a0	NOUN
ejpam-3382	149	6	)	)	PUNCT
ejpam-3382	149	7	.	.	PUNCT
ejpam-3382	150	1	from	from	ADP
ejpam-3382	150	2	(	(	PUNCT
ejpam-3382	150	3	22	22	NUM
ejpam-3382	150	4	)	)	PUNCT
ejpam-3382	150	5	and	and	CCONJ
ejpam-3382	150	6	(	(	PUNCT
ejpam-3382	150	7	24	24	NUM
ejpam-3382	150	8	)	)	PUNCT
ejpam-3382	150	9	we	we	PRON
ejpam-3382	150	10	obtain	obtain	VERB
ejpam-3382	150	11	that	that	SCONJ
ejpam-3382	150	12	∀µ	∀µ	PROPN
ejpam-3382	150	13	∈	∈	PROPN
ejpam-3382	151	1	[	[	X
ejpam-3382	151	2	0	0	NUM
ejpam-3382	151	3	,	,	PUNCT
ejpam-3382	151	4	1	1	NUM
ejpam-3382	151	5	]	]	PUNCT
ejpam-3382	151	6	completely	completely	ADV
ejpam-3382	151	7	continuous	continuous	ADJ
ejpam-3382	151	8	vector	vector	NOUN
ejpam-3382	151	9	field	field	NOUN
ejpam-3382	151	10	tµ	tµ	NOUN
ejpam-3382	151	11	=	=	SYM
ejpam-3382	151	12	j	j	PROPN
ejpam-3382	151	13	−	−	NOUN
ejpam-3382	151	14	µq1	µq1	INTJ
ejpam-3382	151	15	has	have	VERB
ejpam-3382	151	16	no	no	DET
ejpam-3382	151	17	zeros	zero	NOUN
ejpam-3382	151	18	on	on	ADP
ejpam-3382	151	19	the	the	DET
ejpam-3382	151	20	boundary	boundary	ADJ
ejpam-3382	151	21	m	m	NOUN
ejpam-3382	151	22	of	of	ADP
ejpam-3382	151	23	the	the	DET
ejpam-3382	151	24	ball	ball	NOUN
ejpam-3382	151	25	k(‖u‖	k(‖u‖	PROPN
ejpam-3382	151	26	b3,2	b3,2	ADJ
ejpam-3382	151	27	2,2,t	2,2,t	PROPN
ejpam-3382	151	28	≤	≤	ADV
ejpam-3382	151	29	a	a	PRON
ejpam-3382	151	30	)	)	PUNCT
ejpam-3382	151	31	,	,	PUNCT
ejpam-3382	151	32	where	where	SCONJ
ejpam-3382	151	33	j	j	PROPN
ejpam-3382	151	34	is	be	AUX
ejpam-3382	151	35	a	a	DET
ejpam-3382	151	36	unit	unit	NOUN
ejpam-3382	151	37	vector	vector	NOUN
ejpam-3382	151	38	field	field	NOUN
ejpam-3382	151	39	and	and	CCONJ
ejpam-3382	151	40	a	a	PRON
ejpam-3382	151	41	is	be	AUX
ejpam-3382	151	42	a	a	DET
ejpam-3382	151	43	number	number	NOUN
ejpam-3382	151	44	appearing	appear	VERB
ejpam-3382	151	45	in	in	ADP
ejpam-3382	151	46	the	the	DET
ejpam-3382	151	47	condition	condition	NOUN
ejpam-3382	151	48	2b	2b	NOUN
ejpam-3382	151	49	this	this	DET
ejpam-3382	151	50	theorem	theorem	VERB
ejpam-3382	151	51	.	.	PUNCT
ejpam-3382	152	1	consequently	consequently	ADV
ejpam-3382	152	2	,	,	PUNCT
ejpam-3382	152	3	completely	completely	ADV
ejpam-3382	152	4	continuous	continuous	ADJ
ejpam-3382	152	5	vector	vector	NOUN
ejpam-3382	152	6	fields	field	NOUN
ejpam-3382	152	7	t0	t0	NOUN
ejpam-3382	152	8	=	=	SYM
ejpam-3382	152	9	j	j	PROPN
ejpam-3382	152	10	and	and	CCONJ
ejpam-3382	152	11	t1	t1	NOUN
ejpam-3382	152	12	=	=	PUNCT
ejpam-3382	153	1	j	j	PROPN
ejpam-3382	153	2	−q1	−q1	PROPN
ejpam-3382	153	3	are	be	AUX
ejpam-3382	153	4	homotopic	homotopic	ADJ
ejpam-3382	153	5	on	on	ADP
ejpam-3382	153	6	the	the	DET
ejpam-3382	153	7	sphere	sphere	NOUN
ejpam-3382	153	8	m	m	PROPN
ejpam-3382	153	9	.	.	PUNCT
ejpam-3382	154	1	then	then	ADV
ejpam-3382	154	2	their	their	PRON
ejpam-3382	154	3	rotation	rotation	NOUN
ejpam-3382	154	4	δ	δ	PROPN
ejpam-3382	154	5	on	on	ADP
ejpam-3382	154	6	m	m	PROPN
ejpam-3382	154	7	are	be	AUX
ejpam-3382	154	8	the	the	DET
ejpam-3382	154	9	same	same	ADJ
ejpam-3382	154	10	,	,	PUNCT
ejpam-3382	154	11	namely	namely	ADV
ejpam-3382	154	12	:	:	PUNCT
ejpam-3382	154	13	δ(j	δ(j	PROPN
ejpam-3382	154	14	−q1;m	−q1;m	PROPN
ejpam-3382	154	15	)	)	PUNCT
ejpam-3382	154	16	=	=	SYM
ejpam-3382	154	17	δ(j	δ(j	PROPN
ejpam-3382	154	18	;	;	PUNCT
ejpam-3382	154	19	m	m	X
ejpam-3382	154	20	)	)	PUNCT
ejpam-3382	155	1	=	=	SYM
ejpam-3382	155	2	1	1	X
ejpam-3382	155	3	.	.	PUNCT
ejpam-3382	156	1	now	now	ADV
ejpam-3382	156	2	,	,	PUNCT
ejpam-3382	156	3	we	we	PRON
ejpam-3382	156	4	consider	consider	VERB
ejpam-3382	156	5	the	the	DET
ejpam-3382	156	6	operator	operator	NOUN
ejpam-3382	156	7	q2	q2	NOUN
ejpam-3382	156	8	in	in	ADP
ejpam-3382	156	9	the	the	DET
ejpam-3382	156	10	closed	closed	ADJ
ejpam-3382	156	11	ball	ball	NOUN
ejpam-3382	156	12	k.	k.	PROPN
ejpam-3382	156	13	just	just	ADV
ejpam-3382	156	14	as	as	SCONJ
ejpam-3382	156	15	the	the	DET
ejpam-3382	156	16	completely	completely	ADV
ejpam-3382	156	17	continuity	continuity	NOUN
ejpam-3382	156	18	of	of	ADP
ejpam-3382	156	19	the	the	DET
ejpam-3382	156	20	operator	operator	NOUN
ejpam-3382	156	21	q1	q1	NOUN
ejpam-3382	156	22	in	in	ADP
ejpam-3382	156	23	b3,2	b3,2	ADJ
ejpam-3382	156	24	2,2,t	2,2,t	NOUN
ejpam-3382	156	25	,	,	PUNCT
ejpam-3382	156	26	was	be	AUX
ejpam-3382	156	27	shown	show	VERB
ejpam-3382	156	28	it	it	PRON
ejpam-3382	156	29	is	be	AUX
ejpam-3382	156	30	easy	easy	ADJ
ejpam-3382	156	31	to	to	PART
ejpam-3382	156	32	show	show	VERB
ejpam-3382	156	33	that	that	SCONJ
ejpam-3382	156	34	the	the	DET
ejpam-3382	156	35	operator	operator	NOUN
ejpam-3382	156	36	q2	q2	NOUN
ejpam-3382	156	37	acts	act	VERB
ejpam-3382	156	38	compactly	compactly	ADV
ejpam-3382	156	39	from	from	ADP
ejpam-3382	156	40	k	k	PROPN
ejpam-3382	156	41	into	into	ADP
ejpam-3382	156	42	b3,2	b3,2	ADJ
ejpam-3382	156	43	2,2,t	2,2,t	NUM
ejpam-3382	156	44	.	.	PUNCT
ejpam-3382	157	1	further	far	ADV
ejpam-3382	157	2	,	,	PUNCT
ejpam-3382	157	3	on	on	ADP
ejpam-3382	157	4	the	the	DET
ejpam-3382	157	5	boundary	boundary	ADJ
ejpam-3382	157	6	m	m	NOUN
ejpam-3382	157	7	of	of	ADP
ejpam-3382	157	8	the	the	DET
ejpam-3382	157	9	ball	ball	NOUN
ejpam-3382	157	10	k	k	PROPN
ejpam-3382	157	11	we	we	PRON
ejpam-3382	157	12	consider	consider	VERB
ejpam-3382	157	13	completely	completely	ADV
ejpam-3382	157	14	continuous	continuous	ADJ
ejpam-3382	157	15	vector	vector	NOUN
ejpam-3382	157	16	fields	field	NOUN
ejpam-3382	157	17	fλ	fλ	PRON
ejpam-3382	157	18	=	=	PUNCT
ejpam-3382	157	19	j−q1−λq2	j−q1−λq2	NOUN
ejpam-3382	157	20	,	,	PUNCT
ejpam-3382	157	21	λ	λ	X
ejpam-3382	157	22	∈	∈	PROPN
ejpam-3382	158	1	[	[	X
ejpam-3382	158	2	0	0	NUM
ejpam-3382	158	3	,	,	PUNCT
ejpam-3382	158	4	1	1	NUM
ejpam-3382	158	5	]	]	PUNCT
ejpam-3382	158	6	.	.	PUNCT
ejpam-3382	159	1	due	due	ADP
ejpam-3382	159	2	to	to	ADP
ejpam-3382	159	3	of	of	ADP
ejpam-3382	159	4	the	the	DET
ejpam-3382	159	5	condition	condition	NOUN
ejpam-3382	159	6	2b	2b	NOUN
ejpam-3382	159	7	this	this	PRON
ejpam-3382	159	8	theorem	theorem	VERB
ejpam-3382	159	9	∀λ	∀λ	NUM
ejpam-3382	159	10	∈	∈	PROPN
ejpam-3382	160	1	[	[	X
ejpam-3382	160	2	0	0	NUM
ejpam-3382	160	3	,	,	PUNCT
ejpam-3382	160	4	1	1	NUM
ejpam-3382	160	5	]	]	PUNCT
ejpam-3382	160	6	and	and	CCONJ
ejpam-3382	160	7	u	u	NOUN
ejpam-3382	160	8	∈m	∈m	NOUN
ejpam-3382	160	9	we	we	PRON
ejpam-3382	160	10	have	have	VERB
ejpam-3382	160	11	‖u−q1(u)−	‖u−q1(u)−	NOUN
ejpam-3382	160	12	λq2(u)‖	λq2(u)‖	PROPN
ejpam-3382	160	13	b3,2	b3,2	ADJ
ejpam-3382	160	14	2,2,t	2,2,t	NUM
ejpam-3382	160	15	≥	≥	NUM
ejpam-3382	160	16	‖u−q1(u)‖	‖u−q1(u)‖	ADJ
ejpam-3382	160	17	b3,2	b3,2	ADJ
ejpam-3382	160	18	2,2,t	2,2,t	NOUN
ejpam-3382	160	19	−	−	PUNCT
ejpam-3382	160	20	‖q2(u)‖	‖q2(u)‖	PUNCT
ejpam-3382	161	1	b3,2	b3,2	ADJ
ejpam-3382	161	2	2,2,t	2,2,t	NOUN
ejpam-3382	161	3	>	>	X
ejpam-3382	161	4	0	0	NUM
ejpam-3382	161	5	.	.	PUNCT
ejpam-3382	162	1	s.	s.	PROPN
ejpam-3382	162	2	j.aliyev	j.aliyev	PROPN
ejpam-3382	162	3	,	,	PUNCT
ejpam-3382	162	4	a.	a.	PROPN
ejpam-3382	162	5	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	162	6	,	,	PUNCT
ejpam-3382	162	7	g.	g.	PROPN
ejpam-3382	162	8	z.	z.	PROPN
ejpam-3382	162	9	abdullayeva	abdullayeva	PROPN
ejpam-3382	162	10	/	/	SYM
ejpam-3382	162	11	eur	eur	PROPN
ejpam-3382	162	12	.	.	PUNCT
ejpam-3382	163	1	j.	j.	PROPN
ejpam-3382	163	2	pure	pure	PROPN
ejpam-3382	163	3	appl	appl	PROPN
ejpam-3382	163	4	.	.	PROPN
ejpam-3382	163	5	math	math	PROPN
ejpam-3382	163	6	,	,	PUNCT
ejpam-3382	163	7	12	12	NUM
ejpam-3382	163	8	(	(	PUNCT
ejpam-3382	163	9	2	2	NUM
ejpam-3382	163	10	)	)	PUNCT
ejpam-3382	163	11	(	(	PUNCT
ejpam-3382	163	12	2019	2019	NUM
ejpam-3382	163	13	)	)	PUNCT
ejpam-3382	164	1	,	,	PUNCT
ejpam-3382	164	2	577	577	NUM
ejpam-3382	164	3	-	-	SYM
ejpam-3382	164	4	589	589	NUM
ejpam-3382	164	5	584	584	NUM
ejpam-3382	164	6	hence	hence	ADV
ejpam-3382	164	7	,	,	PUNCT
ejpam-3382	164	8	in	in	ADP
ejpam-3382	164	9	particular	particular	ADJ
ejpam-3382	164	10	,	,	PUNCT
ejpam-3382	164	11	it	it	PRON
ejpam-3382	164	12	follows	follow	VERB
ejpam-3382	164	13	that	that	SCONJ
ejpam-3382	164	14	completely	completely	ADV
ejpam-3382	164	15	continuous	continuous	ADJ
ejpam-3382	164	16	vector	vector	NOUN
ejpam-3382	164	17	fields	field	NOUN
ejpam-3382	164	18	f0	f0	PROPN
ejpam-3382	164	19	=	=	SYM
ejpam-3382	164	20	j	j	PROPN
ejpam-3382	164	21	−	−	PROPN
ejpam-3382	164	22	q1	q1	PROPN
ejpam-3382	164	23	and	and	CCONJ
ejpam-3382	164	24	f1	f1	PROPN
ejpam-3382	164	25	=	=	SYM
ejpam-3382	164	26	j−q1−q2	j−q1−q2	PROPN
ejpam-3382	164	27	are	be	AUX
ejpam-3382	164	28	homotopic	homotopic	ADJ
ejpam-3382	164	29	on	on	ADP
ejpam-3382	164	30	the	the	DET
ejpam-3382	164	31	sphere	sphere	NOUN
ejpam-3382	164	32	m	m	PROPN
ejpam-3382	164	33	.	.	PUNCT
ejpam-3382	165	1	consequently	consequently	ADV
ejpam-3382	165	2	,	,	PUNCT
ejpam-3382	165	3	on	on	ADP
ejpam-3382	165	4	m	m	NOUN
ejpam-3382	165	5	their	their	PRON
ejpam-3382	165	6	rotations	rotation	NOUN
ejpam-3382	165	7	are	be	AUX
ejpam-3382	165	8	equal	equal	ADJ
ejpam-3382	165	9	to	to	ADP
ejpam-3382	165	10	:	:	PUNCT
ejpam-3382	165	11	δ(j	δ(j	PROPN
ejpam-3382	165	12	−q1	−q1	PROPN
ejpam-3382	165	13	−q2;m	−q2;m	PROPN
ejpam-3382	165	14	)	)	PUNCT
ejpam-3382	165	15	=	=	PUNCT
ejpam-3382	165	16	δ(j	δ(j	PROPN
ejpam-3382	165	17	−q1;m	−q1;m	PROPN
ejpam-3382	165	18	)	)	PUNCT
ejpam-3382	166	1	=	=	SYM
ejpam-3382	166	2	δ(j	δ(j	PROPN
ejpam-3382	166	3	;	;	PUNCT
ejpam-3382	166	4	m	m	X
ejpam-3382	166	5	)	)	PUNCT
ejpam-3382	166	6	=	=	SYM
ejpam-3382	167	1	1	1	X
ejpam-3382	167	2	.	.	PUNCT
ejpam-3382	167	3	(	(	PUNCT
ejpam-3382	167	4	25	25	NUM
ejpam-3382	167	5	)	)	PUNCT
ejpam-3382	167	6	and	and	CCONJ
ejpam-3382	167	7	now	now	ADV
ejpam-3382	167	8	in	in	ADP
ejpam-3382	167	9	the	the	DET
ejpam-3382	167	10	ball	ball	NOUN
ejpam-3382	167	11	kρ(‖u‖b3,2	kρ(‖u‖b3,2	PROPN
ejpam-3382	167	12	2,2,t	2,2,t	PROPN
ejpam-3382	167	13	≤	≤	PROPN
ejpam-3382	167	14	ρ	ρ	NOUN
ejpam-3382	167	15	)	)	PUNCT
ejpam-3382	167	16	we	we	PRON
ejpam-3382	167	17	consider	consider	VERB
ejpam-3382	167	18	the	the	DET
ejpam-3382	167	19	operator	operator	NOUN
ejpam-3382	167	20	q3	q3	NOUN
ejpam-3382	167	21	.	.	PUNCT
ejpam-3382	168	1	similar	similar	ADJ
ejpam-3382	168	2	to	to	ADP
ejpam-3382	168	3	(	(	PUNCT
ejpam-3382	168	4	21	21	NUM
ejpam-3382	168	5	)	)	PUNCT
ejpam-3382	168	6	,	,	PUNCT
ejpam-3382	168	7	∀u	∀u	NOUN
ejpam-3382	168	8	,	,	PUNCT
ejpam-3382	168	9	v	v	PROPN
ejpam-3382	168	10	∈	∈	PROPN
ejpam-3382	168	11	kρ	kρ	NOUN
ejpam-3382	168	12	we	we	PRON
ejpam-3382	168	13	have	have	VERB
ejpam-3382	168	14	‖q3(u)−q3(v)‖	‖q3(u)−q3(v)‖	ADJ
ejpam-3382	168	15	b3,2	b3,2	ADJ
ejpam-3382	168	16	2,2,t	2,2,t	NOUN
ejpam-3382	168	17	≤	≤	NUM
ejpam-3382	168	18	(	(	PUNCT
ejpam-3382	169	1	√	√	NUM
ejpam-3382	169	2	t	t	NOUN
ejpam-3382	169	3	+	+	CCONJ
ejpam-3382	169	4	1√	1√	PROPN
ejpam-3382	169	5	2	2	NUM
ejpam-3382	169	6	)	)	PUNCT
ejpam-3382	169	7	·	·	PUNCT
ejpam-3382	170	1	c0	c0	NOUN
ejpam-3382	170	2	·	·	PUNCT
ejpam-3382	170	3	‖f3(u)−	‖f3(u)−	VERB
ejpam-3382	170	4	f3(v)‖	f3(v)‖	PROPN
ejpam-3382	170	5	w	w	NOUN
ejpam-3382	170	6	0,1	0,1	NUM
ejpam-3382	170	7	t	t	NOUN
ejpam-3382	170	8	,	,	PUNCT
ejpam-3382	170	9	x,2(qt	x,2(qt	PROPN
ejpam-3382	170	10	)	)	PUNCT
ejpam-3382	170	11	≤	≤	NOUN
ejpam-3382	170	12	(	(	PUNCT
ejpam-3382	170	13	√	√	NUM
ejpam-3382	170	14	t	t	NOUN
ejpam-3382	170	15	+	+	CCONJ
ejpam-3382	170	16	1√	1√	PROPN
ejpam-3382	170	17	2	2	NUM
ejpam-3382	170	18	)	)	PUNCT
ejpam-3382	170	19	·	·	PUNCT
ejpam-3382	171	1	c0	c0	X
ejpam-3382	171	2	·	·	PUNCT
ejpam-3382	171	3	q	q	PUNCT
ejpam-3382	171	4	·	·	PUNCT
ejpam-3382	172	1	‖u−	‖u−	PROPN
ejpam-3382	172	2	v	v	NUM
ejpam-3382	172	3	‖b3,2	‖b3,2	NOUN
ejpam-3382	172	4	2,2,t	2,2,t	NUM
ejpam-3382	172	5	=	=	SYM
ejpam-3382	173	1	q0	q0	PROPN
ejpam-3382	173	2	·	·	PUNCT
ejpam-3382	174	1	‖u−	‖u−	PROPN
ejpam-3382	174	2	v	v	NUM
ejpam-3382	174	3	‖b3,2	‖b3,2	NOUN
ejpam-3382	174	4	2,2,t	2,2,t	NUM
ejpam-3382	174	5	.	.	PUNCT
ejpam-3382	175	1	for	for	ADP
ejpam-3382	175	2	each	each	DET
ejpam-3382	175	3	fixed	fix	VERB
ejpam-3382	175	4	v0	v0	NOUN
ejpam-3382	175	5	∈	∈	NOUN
ejpam-3382	175	6	kρ0(‖u‖	kρ0(‖u‖	PROPN
ejpam-3382	175	7	b3,2	b3,2	NOUN
ejpam-3382	175	8	2,2,t	2,2,t	PROPN
ejpam-3382	175	9	≤	≤	NUM
ejpam-3382	175	10	ρ0	ρ0	PROPN
ejpam-3382	175	11	)	)	PUNCT
ejpam-3382	175	12	(	(	PUNCT
ejpam-3382	175	13	where	where	SCONJ
ejpam-3382	175	14	the	the	DET
ejpam-3382	175	15	number	number	NOUN
ejpam-3382	175	16	ρ0	ρ0	PROPN
ejpam-3382	175	17	is	be	AUX
ejpam-3382	175	18	defined	define	VERB
ejpam-3382	175	19	by	by	ADP
ejpam-3382	175	20	(	(	PUNCT
ejpam-3382	175	21	16	16	NUM
ejpam-3382	175	22	)	)	PUNCT
ejpam-3382	175	23	)	)	PUNCT
ejpam-3382	176	1	and	and	CCONJ
ejpam-3382	176	2	ε	ε	PROPN
ejpam-3382	176	3	∈	∈	PROPN
ejpam-3382	177	1	[	[	X
ejpam-3382	177	2	0	0	NUM
ejpam-3382	177	3	,	,	PUNCT
ejpam-3382	177	4	1	1	NUM
ejpam-3382	177	5	]	]	PUNCT
ejpam-3382	177	6	in	in	ADP
ejpam-3382	177	7	the	the	DET
ejpam-3382	177	8	ball	ball	NOUN
ejpam-3382	177	9	kρ	kρ	NOUN
ejpam-3382	177	10	we	we	PRON
ejpam-3382	177	11	consider	consider	VERB
ejpam-3382	177	12	the	the	DET
ejpam-3382	177	13	following	follow	VERB
ejpam-3382	177	14	equation	equation	NOUN
ejpam-3382	177	15	u	u	NOUN
ejpam-3382	177	16	=	=	PROPN
ejpam-3382	177	17	ε	ε	PROPN
ejpam-3382	177	18	·	·	PUNCT
ejpam-3382	177	19	q3(u	q3(u	NUM
ejpam-3382	177	20	)	)	PUNCT
ejpam-3382	177	21	+	+	NUM
ejpam-3382	177	22	v0	v0	NOUN
ejpam-3382	177	23	.	.	PUNCT
ejpam-3382	178	1	(	(	PUNCT
ejpam-3382	178	2	26	26	NUM
ejpam-3382	178	3	)	)	PUNCT
ejpam-3382	178	4	taking	take	VERB
ejpam-3382	178	5	advantage	advantage	NOUN
ejpam-3382	178	6	fact	fact	NOUN
ejpam-3382	178	7	that	that	SCONJ
ejpam-3382	178	8	q3(0	q3(0	PROPN
ejpam-3382	178	9	)	)	PUNCT
ejpam-3382	179	1	=	=	SYM
ejpam-3382	179	2	p	p	X
ejpam-3382	179	3	(	(	PUNCT
ejpam-3382	179	4	f3(0	f3(0	PROPN
ejpam-3382	179	5	)	)	PUNCT
ejpam-3382	179	6	)	)	PUNCT
ejpam-3382	180	1	=	=	SYM
ejpam-3382	180	2	p	p	X
ejpam-3382	180	3	(	(	PUNCT
ejpam-3382	180	4	0	0	NUM
ejpam-3382	180	5	)	)	PUNCT
ejpam-3382	180	6	=	=	SYM
ejpam-3382	180	7	0	0	NUM
ejpam-3382	180	8	,	,	PUNCT
ejpam-3382	180	9	for	for	ADP
ejpam-3382	180	10	any	any	DET
ejpam-3382	180	11	u	u	NOUN
ejpam-3382	180	12	,	,	PUNCT
ejpam-3382	180	13	u1	u1	NOUN
ejpam-3382	180	14	,	,	PUNCT
ejpam-3382	180	15	u2	u2	PROPN
ejpam-3382	180	16	∈	∈	PROPN
ejpam-3382	180	17	kρ	kρ	NOUN
ejpam-3382	180	18	we	we	PRON
ejpam-3382	180	19	have	have	VERB
ejpam-3382	180	20	‖ε	‖ε	NOUN
ejpam-3382	180	21	·	·	PUNCT
ejpam-3382	180	22	q3(u	q3(u	NUM
ejpam-3382	180	23	)	)	PUNCT
ejpam-3382	181	1	+	+	NUM
ejpam-3382	181	2	v0‖b3,2	v0‖b3,2	ADP
ejpam-3382	181	3	2,2,t	2,2,t	NUM
ejpam-3382	181	4	≤	≤	NUM
ejpam-3382	181	5	‖q3(u)‖	‖q3(u)‖	PUNCT
ejpam-3382	182	1	b3,2	b3,2	ADJ
ejpam-3382	182	2	2,2,t	2,2,t	NOUN
ejpam-3382	182	3	+	+	CCONJ
ejpam-3382	182	4	‖v0‖b3,2	‖v0‖b3,2	NOUN
ejpam-3382	182	5	2,2,t	2,2,t	NUM
ejpam-3382	182	6	=	=	SYM
ejpam-3382	182	7	‖q3(u)−q3(0)‖	‖q3(u)−q3(0)‖	PROPN
ejpam-3382	182	8	b3,2	b3,2	NOUN
ejpam-3382	182	9	2,2,t	2,2,t	NOUN
ejpam-3382	182	10	+	+	CCONJ
ejpam-3382	182	11	‖v0‖b3,2	‖v0‖b3,2	PROPN
ejpam-3382	182	12	2,2,t	2,2,t	NUM
ejpam-3382	182	13	≤	≤	NUM
ejpam-3382	182	14	(	(	PUNCT
ejpam-3382	182	15	√	√	NUM
ejpam-3382	182	16	t	t	NOUN
ejpam-3382	182	17	+	+	CCONJ
ejpam-3382	182	18	1√	1√	PROPN
ejpam-3382	182	19	2	2	NUM
ejpam-3382	182	20	)	)	PUNCT
ejpam-3382	182	21	·	·	PUNCT
ejpam-3382	183	1	c0	c0	X
ejpam-3382	183	2	·	·	PUNCT
ejpam-3382	183	3	q	q	PUNCT
ejpam-3382	183	4	·	·	PUNCT
ejpam-3382	183	5	‖u‖b3,2	‖u‖b3,2	VERB
ejpam-3382	183	6	2,2,t	2,2,t	NUM
ejpam-3382	183	7	+	+	CCONJ
ejpam-3382	183	8	‖v0‖b3,2	‖v0‖b3,2	NOUN
ejpam-3382	183	9	2,2,t	2,2,t	NUM
ejpam-3382	183	10	=	=	SYM
ejpam-3382	183	11	q0	q0	PROPN
ejpam-3382	183	12	·	·	PUNCT
ejpam-3382	183	13	‖u‖b3,2	‖u‖b3,2	VERB
ejpam-3382	183	14	2,2,t	2,2,t	NUM
ejpam-3382	183	15	+	+	CCONJ
ejpam-3382	183	16	‖v0‖b3,2	‖v0‖b3,2	PROPN
ejpam-3382	184	1	2,2,t	2,2,t	NOUN
ejpam-3382	184	2	≤	≤	ADV
ejpam-3382	184	3	q0	q0	PROPN
ejpam-3382	184	4	·	·	PUNCT
ejpam-3382	184	5	ρ+	ρ+	NUM
ejpam-3382	184	6	ρ0	ρ0	PROPN
ejpam-3382	184	7	≤	≤	PROPN
ejpam-3382	184	8	ρ	ρ	PROPN
ejpam-3382	184	9	,	,	PUNCT
ejpam-3382	184	10	‖ε	‖ε	NOUN
ejpam-3382	184	11	·	·	SYM
ejpam-3382	184	12	q3(u1	q3(u1	NOUN
ejpam-3382	184	13	)	)	PUNCT
ejpam-3382	184	14	+	+	NUM
ejpam-3382	184	15	v0	v0	NOUN
ejpam-3382	184	16	−	−	PROPN
ejpam-3382	185	1	[	[	X
ejpam-3382	185	2	ε	ε	X
ejpam-3382	185	3	·	·	SYM
ejpam-3382	185	4	q3(u2	q3(u2	NUM
ejpam-3382	185	5	)	)	PUNCT
ejpam-3382	186	1	+	+	CCONJ
ejpam-3382	186	2	v0]‖	v0]‖	DET
ejpam-3382	186	3	b3,2	b3,2	ADJ
ejpam-3382	186	4	2,2,t	2,2,t	NOUN
ejpam-3382	186	5	≤	≤	NUM
ejpam-3382	186	6	‖q3(u1)−q3(u2)‖	‖q3(u1)−q3(u2)‖	PUNCT
ejpam-3382	186	7	b3,2	b3,2	PROPN
ejpam-3382	186	8	2,2,t	2,2,t	NUM
ejpam-3382	186	9	≤	≤	NOUN
ejpam-3382	186	10	q0	q0	VERB
ejpam-3382	186	11	‖u1	‖u1	ADV
ejpam-3382	186	12	−	−	NOUN
ejpam-3382	186	13	u2‖b3,2	u2‖b3,2	PUNCT
ejpam-3382	186	14	2,2,t	2,2,t	NUM
ejpam-3382	186	15	.	.	PUNCT
ejpam-3382	187	1	as	as	SCONJ
ejpam-3382	187	2	q0	q0	PROPN
ejpam-3382	187	3	<	<	X
ejpam-3382	187	4	1	1	NUM
ejpam-3382	187	5	,	,	PUNCT
ejpam-3382	187	6	then	then	ADV
ejpam-3382	187	7	by	by	ADP
ejpam-3382	187	8	virtue	virtue	NOUN
ejpam-3382	187	9	of	of	ADP
ejpam-3382	187	10	the	the	DET
ejpam-3382	187	11	contracted	contract	VERB
ejpam-3382	187	12	mappings	mapping	NOUN
ejpam-3382	187	13	principle	principle	NOUN
ejpam-3382	187	14	,	,	PUNCT
ejpam-3382	187	15	the	the	DET
ejpam-3382	187	16	operator	operator	NOUN
ejpam-3382	187	17	a(u	a(u	PROPN
ejpam-3382	187	18	)	)	PUNCT
ejpam-3382	187	19	=	=	SYM
ejpam-3382	187	20	ε	ε	PROPN
ejpam-3382	187	21	·	·	PUNCT
ejpam-3382	187	22	q3(u	q3(u	NUM
ejpam-3382	187	23	)	)	PUNCT
ejpam-3382	187	24	+	+	NUM
ejpam-3382	187	25	v0	v0	NOUN
ejpam-3382	187	26	has	have	VERB
ejpam-3382	187	27	a	a	DET
ejpam-3382	187	28	unique	unique	ADJ
ejpam-3382	187	29	fixed	fix	VERB
ejpam-3382	187	30	point	point	NOUN
ejpam-3382	187	31	u0	u0	ADJ
ejpam-3382	187	32	in	in	ADP
ejpam-3382	187	33	kρ	kρ	PROPN
ejpam-3382	187	34	.	.	PUNCT
ejpam-3382	188	1	comparing	compare	VERB
ejpam-3382	188	2	to	to	ADP
ejpam-3382	188	3	each	each	DET
ejpam-3382	188	4	v0	v0	NOUN
ejpam-3382	188	5	∈	∈	PROPN
ejpam-3382	188	6	kρ0	kρ0	X
ejpam-3382	189	1	the	the	DET
ejpam-3382	189	2	unique	unique	ADJ
ejpam-3382	189	3	in	in	ADP
ejpam-3382	189	4	kρ	kρ	NOUN
ejpam-3382	189	5	solution	solution	NOUN
ejpam-3382	189	6	u0	u0	PROPN
ejpam-3382	189	7	∈	∈	PROPN
ejpam-3382	189	8	kρ0	kρ0	PROPN
ejpam-3382	189	9	of	of	ADP
ejpam-3382	189	10	equation	equation	NOUN
ejpam-3382	189	11	(	(	PUNCT
ejpam-3382	189	12	26	26	NUM
ejpam-3382	189	13	)	)	PUNCT
ejpam-3382	189	14	,	,	PUNCT
ejpam-3382	189	15	we	we	PRON
ejpam-3382	189	16	generate	generate	VERB
ejpam-3382	189	17	some	some	DET
ejpam-3382	189	18	operator	operator	NOUN
ejpam-3382	189	19	rε	rε	NOUN
ejpam-3382	189	20	,	,	PUNCT
ejpam-3382	189	21	acting	act	VERB
ejpam-3382	189	22	from	from	ADP
ejpam-3382	189	23	kρ0	kρ0	PROPN
ejpam-3382	189	24	into	into	ADP
ejpam-3382	189	25	kρ	kρ	PROPN
ejpam-3382	189	26	.	.	PUNCT
ejpam-3382	190	1	next	next	ADV
ejpam-3382	190	2	,	,	PUNCT
ejpam-3382	190	3	for	for	ADP
ejpam-3382	190	4	any	any	DET
ejpam-3382	190	5	ε	ε	PROPN
ejpam-3382	190	6	∈	∈	PROPN
ejpam-3382	191	1	[	[	X
ejpam-3382	191	2	0	0	NUM
ejpam-3382	191	3	,	,	PUNCT
ejpam-3382	191	4	1	1	NUM
ejpam-3382	191	5	]	]	PUNCT
ejpam-3382	191	6	and	and	CCONJ
ejpam-3382	191	7	v	v	X
ejpam-3382	191	8	∈	∈	PROPN
ejpam-3382	191	9	kρ0	kρ0	X
ejpam-3382	191	10	using	use	VERB
ejpam-3382	191	11	notation	notation	NOUN
ejpam-3382	191	12	rε(v	rε(v	NOUN
ejpam-3382	191	13	)	)	PUNCT
ejpam-3382	191	14	≡	≡	PROPN
ejpam-3382	191	15	ε	ε	PROPN
ejpam-3382	191	16	·	·	PUNCT
ejpam-3382	191	17	q3(rε(v	q3(rε(v	NOUN
ejpam-3382	191	18	)	)	PUNCT
ejpam-3382	191	19	)	)	PUNCT
ejpam-3382	192	1	+	+	CCONJ
ejpam-3382	192	2	v	v	X
ejpam-3382	192	3	,	,	PUNCT
ejpam-3382	192	4	s.	s.	PROPN
ejpam-3382	192	5	j.aliyev	j.aliyev	PROPN
ejpam-3382	192	6	,	,	PUNCT
ejpam-3382	192	7	a.	a.	PROPN
ejpam-3382	192	8	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	192	9	,	,	PUNCT
ejpam-3382	192	10	g.	g.	PROPN
ejpam-3382	192	11	z.	z.	PROPN
ejpam-3382	192	12	abdullayeva	abdullayeva	PROPN
ejpam-3382	192	13	/	/	SYM
ejpam-3382	192	14	eur	eur	PROPN
ejpam-3382	192	15	.	.	PUNCT
ejpam-3382	193	1	j.	j.	PROPN
ejpam-3382	193	2	pure	pure	PROPN
ejpam-3382	193	3	appl	appl	PROPN
ejpam-3382	193	4	.	.	PROPN
ejpam-3382	193	5	math	math	PROPN
ejpam-3382	193	6	,	,	PUNCT
ejpam-3382	193	7	12	12	NUM
ejpam-3382	193	8	(	(	PUNCT
ejpam-3382	193	9	2	2	NUM
ejpam-3382	193	10	)	)	PUNCT
ejpam-3382	193	11	(	(	PUNCT
ejpam-3382	193	12	2019	2019	NUM
ejpam-3382	193	13	)	)	PUNCT
ejpam-3382	193	14	,	,	PUNCT
ejpam-3382	193	15	577	577	NUM
ejpam-3382	193	16	-	-	SYM
ejpam-3382	193	17	589	589	NUM
ejpam-3382	193	18	585	585	NUM
ejpam-3382	193	19	it	it	PRON
ejpam-3382	193	20	is	be	AUX
ejpam-3382	193	21	easy	easy	ADJ
ejpam-3382	193	22	to	to	PART
ejpam-3382	193	23	get	get	VERB
ejpam-3382	193	24	for	for	ADP
ejpam-3382	193	25	any	any	DET
ejpam-3382	193	26	v1	v1	NOUN
ejpam-3382	193	27	,	,	PUNCT
ejpam-3382	193	28	v2	v2	PROPN
ejpam-3382	193	29	∈	∈	PROPN
ejpam-3382	193	30	kρ0	kρ0	X
ejpam-3382	193	31	‖rε(v1)−rε(v2)‖	‖rε(v1)−rε(v2)‖	PROPN
ejpam-3382	193	32	b3,2	b3,2	ADJ
ejpam-3382	193	33	2,2,t	2,2,t	NUM
ejpam-3382	194	1	≤	≤	NUM
ejpam-3382	194	2	1	1	NUM
ejpam-3382	194	3	1−	1−	NUM
ejpam-3382	194	4	ε	ε	PROPN
ejpam-3382	194	5	·	·	PUNCT
ejpam-3382	194	6	q0	q0	PROPN
ejpam-3382	194	7	·	·	PUNCT
ejpam-3382	194	8	‖v1	‖v1	PRON
ejpam-3382	194	9	−	−	PROPN
ejpam-3382	194	10	v2‖b3,2	v2‖b3,2	NOUN
ejpam-3382	194	11	2,2,t	2,2,t	NUM
ejpam-3382	194	12	.	.	PUNCT
ejpam-3382	195	1	(	(	PUNCT
ejpam-3382	195	2	27	27	NUM
ejpam-3382	195	3	)	)	PUNCT
ejpam-3382	195	4	due	due	ADP
ejpam-3382	195	5	to	to	ADP
ejpam-3382	195	6	notation	notation	NOUN
ejpam-3382	195	7	(	(	PUNCT
ejpam-3382	195	8	16	16	NUM
ejpam-3382	195	9	)	)	PUNCT
ejpam-3382	195	10	we	we	PRON
ejpam-3382	195	11	have	have	VERB
ejpam-3382	195	12	(	(	PUNCT
ejpam-3382	195	13	q1	q1	VERB
ejpam-3382	195	14	+	+	CCONJ
ejpam-3382	195	15	q2)k	q2)k	PROPN
ejpam-3382	196	1	⊂	⊂	PROPN
ejpam-3382	196	2	kρ0	kρ0	PROPN
ejpam-3382	196	3	.	.	PUNCT
ejpam-3382	197	1	consequently	consequently	ADV
ejpam-3382	197	2	,	,	PUNCT
ejpam-3382	197	3	for	for	ADP
ejpam-3382	197	4	each	each	DET
ejpam-3382	197	5	ε	ε	PROPN
ejpam-3382	197	6	∈	∈	PROPN
ejpam-3382	198	1	[	[	X
ejpam-3382	198	2	0	0	NUM
ejpam-3382	198	3	,	,	PUNCT
ejpam-3382	198	4	1	1	NUM
ejpam-3382	198	5	]	]	PUNCT
ejpam-3382	198	6	the	the	DET
ejpam-3382	198	7	operator	operator	NOUN
ejpam-3382	198	8	rε	rε	NOUN
ejpam-3382	198	9	is	be	AUX
ejpam-3382	198	10	defined	define	VERB
ejpam-3382	198	11	,	,	PUNCT
ejpam-3382	198	12	in	in	ADP
ejpam-3382	198	13	particular	particular	ADJ
ejpam-3382	198	14	,	,	PUNCT
ejpam-3382	198	15	and	and	CCONJ
ejpam-3382	198	16	on	on	ADP
ejpam-3382	198	17	(	(	PUNCT
ejpam-3382	198	18	q1	q1	NOUN
ejpam-3382	198	19	+	+	CCONJ
ejpam-3382	198	20	q2)k	q2)k	NOUN
ejpam-3382	198	21	.	.	PUNCT
ejpam-3382	199	1	due	due	ADP
ejpam-3382	199	2	to	to	ADP
ejpam-3382	199	3	(	(	PUNCT
ejpam-3382	199	4	27	27	NUM
ejpam-3382	199	5	)	)	PUNCT
ejpam-3382	199	6	the	the	DET
ejpam-3382	199	7	operator	operator	NOUN
ejpam-3382	199	8	rε	rε	ADP
ejpam-3382	199	9	satisfies	satisfy	VERB
ejpam-3382	199	10	a	a	DET
ejpam-3382	199	11	lipschitz	lipschitz	NOUN
ejpam-3382	199	12	condition	condition	NOUN
ejpam-3382	199	13	(	(	PUNCT
ejpam-3382	199	14	and	and	CCONJ
ejpam-3382	199	15	therefore	therefore	ADV
ejpam-3382	199	16	continuous	continuous	ADJ
ejpam-3382	199	17	)	)	PUNCT
ejpam-3382	199	18	on	on	ADP
ejpam-3382	199	19	(	(	PUNCT
ejpam-3382	199	20	q1	q1	NOUN
ejpam-3382	199	21	+	+	NOUN
ejpam-3382	199	22	q2)k	q2)k	NOUN
ejpam-3382	199	23	.	.	PUNCT
ejpam-3382	200	1	and	and	CCONJ
ejpam-3382	200	2	as	as	ADP
ejpam-3382	200	3	,	,	PUNCT
ejpam-3382	200	4	the	the	DET
ejpam-3382	200	5	operators	operator	NOUN
ejpam-3382	200	6	q1	q1	PROPN
ejpam-3382	200	7	and	and	CCONJ
ejpam-3382	200	8	q2	q2	NOUN
ejpam-3382	200	9	are	be	AUX
ejpam-3382	200	10	completely	completely	ADV
ejpam-3382	200	11	continuous	continuous	ADJ
ejpam-3382	200	12	on	on	ADP
ejpam-3382	200	13	k	k	PROPN
ejpam-3382	200	14	,	,	PUNCT
ejpam-3382	200	15	then	then	ADV
ejpam-3382	200	16	for	for	ADP
ejpam-3382	200	17	each	each	DET
ejpam-3382	200	18	ε	ε	PROPN
ejpam-3382	200	19	∈	∈	PROPN
ejpam-3382	201	1	[	[	X
ejpam-3382	201	2	0	0	NUM
ejpam-3382	201	3	,	,	PUNCT
ejpam-3382	201	4	1	1	NUM
ejpam-3382	201	5	]	]	PUNCT
ejpam-3382	202	1	the	the	DET
ejpam-3382	202	2	operator	operator	NOUN
ejpam-3382	202	3	rε(q1	rε(q1	NOUN
ejpam-3382	202	4	+	+	PROPN
ejpam-3382	202	5	q2	q2	NOUN
ejpam-3382	202	6	)	)	PUNCT
ejpam-3382	202	7	compactly	compactly	ADV
ejpam-3382	202	8	on	on	ADP
ejpam-3382	202	9	k.	k.	PROPN
ejpam-3382	202	10	further	far	ADV
ejpam-3382	202	11	,	,	PUNCT
ejpam-3382	202	12	due	due	ADP
ejpam-3382	202	13	to	to	ADP
ejpam-3382	202	14	(	(	PUNCT
ejpam-3382	202	15	17	17	NUM
ejpam-3382	202	16	)	)	PUNCT
ejpam-3382	202	17	,	,	PUNCT
ejpam-3382	202	18	for	for	ADP
ejpam-3382	202	19	any	any	DET
ejpam-3382	202	20	u	u	NOUN
ejpam-3382	202	21	∈m	∈m	NOUN
ejpam-3382	202	22	and	and	CCONJ
ejpam-3382	202	23	ε	ε	PROPN
ejpam-3382	202	24	∈	∈	PROPN
ejpam-3382	203	1	[	[	X
ejpam-3382	203	2	0	0	NUM
ejpam-3382	203	3	,	,	PUNCT
ejpam-3382	203	4	1	1	NUM
ejpam-3382	203	5	]	]	PUNCT
ejpam-3382	203	6	we	we	PRON
ejpam-3382	203	7	have	have	VERB
ejpam-3382	203	8	‖u−q1(u)−q2(u)−	‖u−q1(u)−q2(u)−	PROPN
ejpam-3382	203	9	ε	ε	PROPN
ejpam-3382	203	10	·	·	SYM
ejpam-3382	203	11	q3(u)‖	q3(u)‖	PROPN
ejpam-3382	204	1	b3,2	b3,2	ADJ
ejpam-3382	204	2	2,2,t	2,2,t	NUM
ejpam-3382	204	3	≥	≥	NUM
ejpam-3382	204	4	‖u−q1(u)−q2(u)‖	‖u−q1(u)−q2(u)‖	VERB
ejpam-3382	204	5	b3,2	b3,2	ADJ
ejpam-3382	204	6	2,2,t	2,2,t	NOUN
ejpam-3382	204	7	−	−	ADP
ejpam-3382	204	8	‖q3(u)‖	‖q3(u)‖	PROPN
ejpam-3382	205	1	b3,2	b3,2	ADJ
ejpam-3382	205	2	2,2,t	2,2,t	NOUN
ejpam-3382	205	3	>	>	X
ejpam-3382	205	4	0	0	NUM
ejpam-3382	205	5	.	.	PUNCT
ejpam-3382	206	1	consequently	consequently	ADV
ejpam-3382	206	2	,	,	PUNCT
ejpam-3382	206	3	the	the	DET
ejpam-3382	206	4	completely	completely	ADV
ejpam-3382	206	5	continuous	continuous	ADJ
ejpam-3382	206	6	vector	vector	NOUN
ejpam-3382	206	7	field	field	NOUN
ejpam-3382	206	8	j−q1−q2−ε·q3	j−q1−q2−ε·q3	PROPN
ejpam-3382	206	9	for	for	ADP
ejpam-3382	206	10	any	any	DET
ejpam-3382	206	11	ε	ε	PROPN
ejpam-3382	206	12	∈	∈	PROPN
ejpam-3382	207	1	[	[	X
ejpam-3382	207	2	0	0	NUM
ejpam-3382	207	3	,	,	PUNCT
ejpam-3382	207	4	1	1	NUM
ejpam-3382	207	5	]	]	PUNCT
ejpam-3382	207	6	does	do	AUX
ejpam-3382	207	7	not	not	PART
ejpam-3382	207	8	have	have	VERB
ejpam-3382	207	9	zeros	zero	NOUN
ejpam-3382	207	10	on	on	ADP
ejpam-3382	207	11	m	m	PROPN
ejpam-3382	207	12	.	.	PUNCT
ejpam-3382	208	1	then	then	ADV
ejpam-3382	208	2	does	do	AUX
ejpam-3382	208	3	not	not	PART
ejpam-3382	208	4	have	have	VERB
ejpam-3382	208	5	zeros	zero	NOUN
ejpam-3382	208	6	on	on	ADP
ejpam-3382	208	7	m	m	NOUN
ejpam-3382	208	8	same	same	ADJ
ejpam-3382	208	9	way	way	NOUN
ejpam-3382	208	10	the	the	DET
ejpam-3382	208	11	completely	completely	ADV
ejpam-3382	208	12	continuous	continuous	ADJ
ejpam-3382	208	13	vector	vector	NOUN
ejpam-3382	208	14	field	field	NOUN
ejpam-3382	208	15	j	j	PROPN
ejpam-3382	208	16	−	−	PROPN
ejpam-3382	208	17	rε(q1	rε(q1	PROPN
ejpam-3382	208	18	+	+	PROPN
ejpam-3382	208	19	q2	q2	NOUN
ejpam-3382	208	20	)	)	PUNCT
ejpam-3382	208	21	,	,	PUNCT
ejpam-3382	208	22	because	because	SCONJ
ejpam-3382	208	23	each	each	DET
ejpam-3382	208	24	zero	zero	NUM
ejpam-3382	208	25	on	on	ADP
ejpam-3382	208	26	m	m	PROPN
ejpam-3382	208	27	field	field	NOUN
ejpam-3382	208	28	j	j	PROPN
ejpam-3382	208	29	−	−	PROPN
ejpam-3382	208	30	rε(q1	rε(q1	PROPN
ejpam-3382	208	31	+	+	PROPN
ejpam-3382	208	32	q2	q2	NOUN
ejpam-3382	208	33	)	)	PUNCT
ejpam-3382	208	34	is	be	AUX
ejpam-3382	208	35	zero	zero	NUM
ejpam-3382	208	36	field	field	NOUN
ejpam-3382	208	37	j	j	PROPN
ejpam-3382	208	38	−q1	−q1	PROPN
ejpam-3382	208	39	−q2	−q2	PROPN
ejpam-3382	208	40	−	−	PROPN
ejpam-3382	208	41	ε	ε	PROPN
ejpam-3382	208	42	·	·	SYM
ejpam-3382	208	43	q3	q3	PROPN
ejpam-3382	208	44	.	.	PUNCT
ejpam-3382	209	1	thus	thus	ADV
ejpam-3382	209	2	,	,	PUNCT
ejpam-3382	209	3	the	the	DET
ejpam-3382	209	4	completely	completely	ADV
ejpam-3382	209	5	continuous	continuous	ADJ
ejpam-3382	209	6	vector	vector	NOUN
ejpam-3382	209	7	fields	field	NOUN
ejpam-3382	209	8	j	j	PROPN
ejpam-3382	210	1	−	−	PROPN
ejpam-3382	210	2	r0(q1	r0(q1	PROPN
ejpam-3382	210	3	+	+	NUM
ejpam-3382	210	4	q2	q2	NOUN
ejpam-3382	210	5	)	)	PUNCT
ejpam-3382	211	1	=	=	SYM
ejpam-3382	211	2	j	j	PROPN
ejpam-3382	211	3	−	−	PROPN
ejpam-3382	211	4	q1	q1	PROPN
ejpam-3382	211	5	−	−	PROPN
ejpam-3382	211	6	q2	q2	PROPN
ejpam-3382	211	7	and	and	CCONJ
ejpam-3382	211	8	j	j	PROPN
ejpam-3382	211	9	−r1(q1	−r1(q1	PROPN
ejpam-3382	211	10	+	+	PROPN
ejpam-3382	211	11	q2	q2	NOUN
ejpam-3382	211	12	)	)	PUNCT
ejpam-3382	211	13	are	be	AUX
ejpam-3382	211	14	homotopic	homotopic	ADJ
ejpam-3382	211	15	on	on	ADP
ejpam-3382	211	16	m	m	PROPN
ejpam-3382	211	17	.	.	PUNCT
ejpam-3382	212	1	consequently	consequently	ADV
ejpam-3382	212	2	,	,	PUNCT
ejpam-3382	212	3	due	due	ADP
ejpam-3382	212	4	to	to	ADP
ejpam-3382	212	5	(	(	PUNCT
ejpam-3382	212	6	25	25	NUM
ejpam-3382	212	7	)	)	PUNCT
ejpam-3382	212	8	we	we	PRON
ejpam-3382	212	9	have	have	VERB
ejpam-3382	212	10	δ(j	δ(j	PROPN
ejpam-3382	212	11	−r1(q1	−r1(q1	PROPN
ejpam-3382	212	12	+	+	NOUN
ejpam-3382	212	13	q2);m	q2);m	PROPN
ejpam-3382	212	14	)	)	PUNCT
ejpam-3382	212	15	=	=	PUNCT
ejpam-3382	212	16	δ(j	δ(j	PROPN
ejpam-3382	212	17	−q1	−q1	PROPN
ejpam-3382	212	18	−q2;m	−q2;m	NOUN
ejpam-3382	212	19	)	)	PUNCT
ejpam-3382	212	20	=	=	SYM
ejpam-3382	212	21	1	1	X
ejpam-3382	212	22	.	.	PUNCT
ejpam-3382	212	23	hence	hence	ADV
ejpam-3382	212	24	,	,	PUNCT
ejpam-3382	212	25	by	by	ADP
ejpam-3382	212	26	virtue	virtue	NOUN
ejpam-3382	212	27	of	of	ADP
ejpam-3382	212	28	the	the	DET
ejpam-3382	212	29	non	non	ADJ
ejpam-3382	212	30	-	-	ADJ
ejpam-3382	212	31	zero	zero	NUM
ejpam-3382	212	32	rotation	rotation	NOUN
ejpam-3382	212	33	principle	principle	NOUN
ejpam-3382	212	34	[	[	X
ejpam-3382	212	35	9	9	NUM
ejpam-3382	212	36	,	,	PUNCT
ejpam-3382	212	37	p.	p.	NOUN
ejpam-3382	212	38	207	207	NUM
ejpam-3382	212	39	]	]	PUNCT
ejpam-3382	212	40	,	,	PUNCT
ejpam-3382	212	41	the	the	DET
ejpam-3382	212	42	completely	completely	ADV
ejpam-3382	212	43	continuous	continuous	ADJ
ejpam-3382	212	44	vector	vector	NOUN
ejpam-3382	212	45	field	field	NOUN
ejpam-3382	212	46	j	j	PROPN
ejpam-3382	212	47	−	−	X
ejpam-3382	212	48	r1(q1	r1(q1	NOUN
ejpam-3382	212	49	+	+	CCONJ
ejpam-3382	212	50	q2	q2	NOUN
ejpam-3382	212	51	)	)	PUNCT
ejpam-3382	212	52	has	have	VERB
ejpam-3382	212	53	at	at	ADV
ejpam-3382	212	54	least	least	ADJ
ejpam-3382	212	55	one	one	NUM
ejpam-3382	212	56	zero	zero	NUM
ejpam-3382	212	57	inside	inside	ADP
ejpam-3382	212	58	the	the	DET
ejpam-3382	212	59	ball	ball	NOUN
ejpam-3382	212	60	of	of	ADP
ejpam-3382	212	61	k.	k.	PROPN
ejpam-3382	212	62	since	since	SCONJ
ejpam-3382	212	63	each	each	DET
ejpam-3382	212	64	such	such	ADJ
ejpam-3382	212	65	zero	zero	NUM
ejpam-3382	212	66	is	be	AUX
ejpam-3382	212	67	a	a	DET
ejpam-3382	212	68	zero	zero	NUM
ejpam-3382	212	69	of	of	ADP
ejpam-3382	212	70	the	the	DET
ejpam-3382	212	71	field	field	NOUN
ejpam-3382	212	72	j	j	PROPN
ejpam-3382	212	73	−q1	−q1	PROPN
ejpam-3382	212	74	−q2	−q2	PROPN
ejpam-3382	212	75	−q3	−q3	PROPN
ejpam-3382	212	76	,	,	PUNCT
ejpam-3382	212	77	it	it	PRON
ejpam-3382	212	78	is	be	AUX
ejpam-3382	212	79	thus	thus	ADV
ejpam-3382	212	80	proved	prove	VERB
ejpam-3382	212	81	that	that	SCONJ
ejpam-3382	212	82	there	there	PRON
ejpam-3382	212	83	exists	exist	VERB
ejpam-3382	212	84	in	in	ADP
ejpam-3382	212	85	k	k	PROPN
ejpam-3382	212	86	at	at	ADV
ejpam-3382	212	87	least	least	ADV
ejpam-3382	212	88	one	one	NUM
ejpam-3382	212	89	fixed	fix	VERB
ejpam-3382	212	90	point	point	NOUN
ejpam-3382	212	91	u(t	u(t	NOUN
ejpam-3382	212	92	,	,	PUNCT
ejpam-3382	212	93	x	x	X
ejpam-3382	212	94	)	)	PUNCT
ejpam-3382	212	95	an	an	DET
ejpam-3382	212	96	operator	operator	NOUN
ejpam-3382	212	97	q1	q1	NOUN
ejpam-3382	212	98	+	+	CCONJ
ejpam-3382	212	99	q2	q2	NOUN
ejpam-3382	212	100	+	+	CCONJ
ejpam-3382	212	101	q3	q3	NOUN
ejpam-3382	212	102	=	=	SYM
ejpam-3382	212	103	q.	q.	PROPN
ejpam-3382	212	104	further	far	ADV
ejpam-3382	212	105	,	,	PUNCT
ejpam-3382	212	106	it	it	PRON
ejpam-3382	212	107	easy	easy	ADJ
ejpam-3382	212	108	to	to	PART
ejpam-3382	212	109	verify	verify	VERB
ejpam-3382	212	110	(	(	PUNCT
ejpam-3382	212	111	in	in	ADP
ejpam-3382	212	112	absolutely	absolutely	ADV
ejpam-3382	212	113	the	the	DET
ejpam-3382	212	114	same	same	ADJ
ejpam-3382	212	115	way	way	NOUN
ejpam-3382	212	116	as	as	ADP
ejpam-3382	212	117	in	in	ADP
ejpam-3382	212	118	the	the	DET
ejpam-3382	212	119	proof	proof	NOUN
ejpam-3382	212	120	of	of	ADP
ejpam-3382	212	121	theorem	theorem	NOUN
ejpam-3382	212	122	of	of	ADP
ejpam-3382	212	123	[	[	X
ejpam-3382	212	124	2	2	NUM
ejpam-3382	212	125	]	]	NUM
ejpam-3382	212	126	)	)	PUNCT
ejpam-3382	212	127	,	,	PUNCT
ejpam-3382	212	128	that	that	SCONJ
ejpam-3382	212	129	the	the	DET
ejpam-3382	212	130	function	function	NOUN
ejpam-3382	212	131	u(t	u(t	NOUN
ejpam-3382	212	132	,	,	PUNCT
ejpam-3382	212	133	x	x	X
ejpam-3382	212	134	)	)	PUNCT
ejpam-3382	212	135	is	be	AUX
ejpam-3382	212	136	an	an	DET
ejpam-3382	212	137	almost	almost	ADV
ejpam-3382	212	138	everywhere	everywhere	ADJ
ejpam-3382	212	139	solution	solution	NOUN
ejpam-3382	212	140	of	of	ADP
ejpam-3382	212	141	problem	problem	NOUN
ejpam-3382	212	142	(	(	PUNCT
ejpam-3382	212	143	1)-(3	1)-(3	NUM
ejpam-3382	212	144	)	)	PUNCT
ejpam-3382	212	145	.	.	PUNCT
ejpam-3382	213	1	the	the	DET
ejpam-3382	213	2	theorem	theorem	NOUN
ejpam-3382	213	3	is	be	AUX
ejpam-3382	213	4	proved	prove	VERB
ejpam-3382	213	5	.	.	PUNCT
ejpam-3382	214	1	4	4	X
ejpam-3382	214	2	.	.	X
ejpam-3382	214	3	correct	correct	ADJ
ejpam-3382	214	4	formulation	formulation	NOUN
ejpam-3382	214	5	of	of	ADP
ejpam-3382	214	6	the	the	DET
ejpam-3382	214	7	problem	problem	NOUN
ejpam-3382	214	8	in	in	ADP
ejpam-3382	214	9	this	this	DET
ejpam-3382	214	10	section	section	NOUN
ejpam-3382	214	11	,	,	PUNCT
ejpam-3382	214	12	using	use	VERB
ejpam-3382	214	13	bellman	bellman	NOUN
ejpam-3382	214	14	’s	’s	PART
ejpam-3382	214	15	inequality	inequality	NOUN
ejpam-3382	214	16	(	(	PUNCT
ejpam-3382	214	17	[	[	X
ejpam-3382	214	18	4	4	NUM
ejpam-3382	214	19	,	,	PUNCT
ejpam-3382	214	20	p.	p.	NOUN
ejpam-3382	214	21	188	188	NUM
ejpam-3382	214	22	-	-	SYM
ejpam-3382	214	23	189	189	NUM
ejpam-3382	214	24	]	]	PUNCT
ejpam-3382	214	25	)	)	PUNCT
ejpam-3382	214	26	,	,	PUNCT
ejpam-3382	214	27	the	the	DET
ejpam-3382	214	28	following	follow	VERB
ejpam-3382	214	29	theorem	theorem	NOUN
ejpam-3382	214	30	on	on	ADP
ejpam-3382	214	31	continuous	continuous	ADJ
ejpam-3382	214	32	dependence	dependence	NOUN
ejpam-3382	214	33	(	(	PUNCT
ejpam-3382	214	34	in	in	ADP
ejpam-3382	214	35	a	a	DET
ejpam-3382	214	36	certain	certain	ADJ
ejpam-3382	214	37	sense	sense	NOUN
ejpam-3382	214	38	)	)	PUNCT
ejpam-3382	214	39	on	on	ADP
ejpam-3382	214	40	initial	initial	ADJ
ejpam-3382	214	41	functions	function	NOUN
ejpam-3382	214	42	ϕ(x	ϕ(x	PROPN
ejpam-3382	214	43	)	)	PUNCT
ejpam-3382	214	44	,	,	PUNCT
ejpam-3382	214	45	ψ(x	ψ(x	NOUN
ejpam-3382	214	46	)	)	PUNCT
ejpam-3382	214	47	,	,	PUNCT
ejpam-3382	214	48	and	and	CCONJ
ejpam-3382	214	49	nonlinear	nonlinear	ADJ
ejpam-3382	214	50	operator	operator	NOUN
ejpam-3382	214	51	f	f	PROPN
ejpam-3382	214	52	for	for	ADP
ejpam-3382	214	53	the	the	DET
ejpam-3382	214	54	almost	almost	ADV
ejpam-3382	214	55	everywhere	everywhere	ADJ
ejpam-3382	214	56	solution	solution	NOUN
ejpam-3382	214	57	of	of	ADP
ejpam-3382	214	58	problem	problem	NOUN
ejpam-3382	214	59	(	(	PUNCT
ejpam-3382	214	60	1)-(3	1)-(3	NUM
ejpam-3382	214	61	)	)	PUNCT
ejpam-3382	214	62	.	.	PUNCT
ejpam-3382	215	1	problem	problem	NOUN
ejpam-3382	215	2	(	(	PUNCT
ejpam-3382	215	3	1)-(3	1)-(3	NUM
ejpam-3382	215	4	)	)	PUNCT
ejpam-3382	215	5	with	with	ADP
ejpam-3382	215	6	the	the	DET
ejpam-3382	215	7	data	data	PROPN
ejpam-3382	215	8	ϕ̃	ϕ̃	PROPN
ejpam-3382	215	9	,	,	PUNCT
ejpam-3382	215	10	ψ̃	ψ̃	PROPN
ejpam-3382	215	11	,	,	PUNCT
ejpam-3382	215	12	f̃	f̃	PROPN
ejpam-3382	215	13	we	we	PRON
ejpam-3382	215	14	let	let	VERB
ejpam-3382	215	15	’s	’s	NOUN
ejpam-3382	215	16	name	name	NOUN
ejpam-3382	215	17	problem	problem	NOUN
ejpam-3382	215	18	ã.	ã.	PROPN
ejpam-3382	215	19	theorem	theorem	NOUN
ejpam-3382	215	20	2	2	X
ejpam-3382	215	21	.	.	PUNCT
ejpam-3382	216	1	let	let	VERB
ejpam-3382	216	2	:	:	PUNCT
ejpam-3382	216	3	(	(	PUNCT
ejpam-3382	216	4	i	i	NOUN
ejpam-3382	216	5	)	)	PUNCT
ejpam-3382	216	6	condition	condition	NOUN
ejpam-3382	216	7	1	1	NUM
ejpam-3382	216	8	of	of	ADP
ejpam-3382	216	9	theorem	theorem	NOUN
ejpam-3382	216	10	1	1	NUM
ejpam-3382	216	11	be	be	AUX
ejpam-3382	216	12	satisfied	satisfied	ADJ
ejpam-3382	216	13	.	.	PUNCT
ejpam-3382	217	1	(	(	PUNCT
ejpam-3382	217	2	ii	ii	X
ejpam-3382	217	3	)	)	PUNCT
ejpam-3382	217	4	ϕ̃(x	ϕ̃(x	PROPN
ejpam-3382	217	5	)	)	PUNCT
ejpam-3382	217	6	∈w	∈w	VERB
ejpam-3382	217	7	3	3	NUM
ejpam-3382	217	8	2	2	NUM
ejpam-3382	217	9	(	(	PUNCT
ejpam-3382	217	10	ω	ω	NOUN
ejpam-3382	217	11	)	)	PUNCT
ejpam-3382	217	12	;	;	PUNCT
ejpam-3382	217	13	ϕ̃(x	ϕ̃(x	PROPN
ejpam-3382	217	14	)	)	PUNCT
ejpam-3382	217	15	,	,	PUNCT
ejpam-3382	217	16	lϕ̃(x	lϕ̃(x	PROPN
ejpam-3382	217	17	)	)	PUNCT
ejpam-3382	217	18	∈	∈	PROPN
ejpam-3382	217	19	◦	◦	NOUN
ejpam-3382	217	20	d(ω	d(ω	PROPN
ejpam-3382	217	21	)	)	PUNCT
ejpam-3382	217	22	;	;	PUNCT
ejpam-3382	217	23	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	217	24	)	)	PUNCT
ejpam-3382	217	25	∈w	∈w	VERB
ejpam-3382	217	26	2	2	NUM
ejpam-3382	217	27	2	2	NUM
ejpam-3382	217	28	(	(	PUNCT
ejpam-3382	217	29	ω	ω	NOUN
ejpam-3382	217	30	)	)	PUNCT
ejpam-3382	217	31	⋂	⋂	PROPN
ejpam-3382	217	32	◦	◦	NOUN
ejpam-3382	217	33	d(ω	d(ω	PROPN
ejpam-3382	217	34	)	)	PUNCT
ejpam-3382	217	35	.	.	PUNCT
ejpam-3382	218	1	(	(	PUNCT
ejpam-3382	218	2	iii	iii	X
ejpam-3382	218	3	)	)	PUNCT
ejpam-3382	218	4	for	for	ADP
ejpam-3382	218	5	each	each	DET
ejpam-3382	218	6	u	u	PROPN
ejpam-3382	218	7	∈	∈	PROPN
ejpam-3382	218	8	b3,2	b3,2	NOUN
ejpam-3382	218	9	2,2,t	2,2,t	NOUN
ejpam-3382	218	10	⋃	⋃	PUNCT
ejpam-3382	218	11	(	(	PUNCT
ejpam-3382	218	12	g	g	PROPN
ejpam-3382	218	13	⋂	⋂	PROPN
ejpam-3382	218	14	b2,1	b2,1	PROPN
ejpam-3382	218	15	2,2,t	2,2,t	NUM
ejpam-3382	218	16	)	)	PUNCT
ejpam-3382	218	17	for	for	ADP
ejpam-3382	218	18	almost	almost	ADV
ejpam-3382	218	19	all	all	PRON
ejpam-3382	218	20	t	t	NOUN
ejpam-3382	218	21	∈	∈	PROPN
ejpam-3382	219	1	[	[	X
ejpam-3382	219	2	0	0	NUM
ejpam-3382	219	3	,	,	PUNCT
ejpam-3382	219	4	t	t	X
ejpam-3382	219	5	]	]	PUNCT
ejpam-3382	219	6	,	,	PUNCT
ejpam-3382	219	7	f(u(t	f(u(t	PROPN
ejpam-3382	219	8	,	,	PUNCT
ejpam-3382	219	9	x	x	NOUN
ejpam-3382	219	10	)	)	PUNCT
ejpam-3382	219	11	)	)	PUNCT
ejpam-3382	220	1	∈	∈	PROPN
ejpam-3382	220	2	◦	◦	NOUN
ejpam-3382	220	3	d(ω	d(ω	PROPN
ejpam-3382	220	4	)	)	PUNCT
ejpam-3382	220	5	.	.	PUNCT
ejpam-3382	221	1	s.	s.	PROPN
ejpam-3382	221	2	j.aliyev	j.aliyev	PROPN
ejpam-3382	221	3	,	,	PUNCT
ejpam-3382	221	4	a.	a.	PROPN
ejpam-3382	221	5	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	221	6	,	,	PUNCT
ejpam-3382	221	7	g.	g.	PROPN
ejpam-3382	221	8	z.	z.	PROPN
ejpam-3382	221	9	abdullayeva	abdullayeva	PROPN
ejpam-3382	221	10	/	/	SYM
ejpam-3382	221	11	eur	eur	PROPN
ejpam-3382	221	12	.	.	PUNCT
ejpam-3382	222	1	j.	j.	PROPN
ejpam-3382	222	2	pure	pure	PROPN
ejpam-3382	222	3	appl	appl	PROPN
ejpam-3382	222	4	.	.	PROPN
ejpam-3382	222	5	math	math	PROPN
ejpam-3382	222	6	,	,	PUNCT
ejpam-3382	222	7	12	12	NUM
ejpam-3382	222	8	(	(	PUNCT
ejpam-3382	222	9	2	2	NUM
ejpam-3382	222	10	)	)	PUNCT
ejpam-3382	222	11	(	(	PUNCT
ejpam-3382	222	12	2019	2019	NUM
ejpam-3382	222	13	)	)	PUNCT
ejpam-3382	222	14	,	,	PUNCT
ejpam-3382	222	15	577	577	NUM
ejpam-3382	222	16	-	-	SYM
ejpam-3382	222	17	589	589	NUM
ejpam-3382	222	18	586	586	NUM
ejpam-3382	222	19	(	(	PUNCT
ejpam-3382	222	20	iv	iv	NOUN
ejpam-3382	222	21	)	)	PUNCT
ejpam-3382	222	22	for	for	ADP
ejpam-3382	222	23	each	each	DET
ejpam-3382	222	24	u	u	PROPN
ejpam-3382	222	25	∈	∈	PROPN
ejpam-3382	222	26	b3,2	b3,2	NOUN
ejpam-3382	222	27	2,2,t	2,2,t	NUM
ejpam-3382	222	28	for	for	ADP
ejpam-3382	222	29	almost	almost	ADV
ejpam-3382	222	30	all	all	PRON
ejpam-3382	222	31	t	t	NOUN
ejpam-3382	222	32	∈	∈	PROPN
ejpam-3382	223	1	[	[	X
ejpam-3382	223	2	0	0	NUM
ejpam-3382	223	3	,	,	PUNCT
ejpam-3382	223	4	t	t	X
ejpam-3382	223	5	]	]	PUNCT
ejpam-3382	223	6	,	,	PUNCT
ejpam-3382	223	7	f̃(u(t	f̃(u(t	PROPN
ejpam-3382	223	8	,	,	PUNCT
ejpam-3382	223	9	x	x	NOUN
ejpam-3382	223	10	)	)	PUNCT
ejpam-3382	223	11	)	)	PUNCT
ejpam-3382	223	12	∈	∈	PROPN
ejpam-3382	223	13	◦	◦	NOUN
ejpam-3382	223	14	d(ω	d(ω	PROPN
ejpam-3382	223	15	)	)	PUNCT
ejpam-3382	223	16	.	.	PUNCT
ejpam-3382	224	1	(	(	PUNCT
ejpam-3382	224	2	v	v	X
ejpam-3382	224	3	)	)	PUNCT
ejpam-3382	224	4	the	the	DET
ejpam-3382	224	5	operators	operator	NOUN
ejpam-3382	224	6	f	f	PROPN
ejpam-3382	224	7	and	and	CCONJ
ejpam-3382	224	8	f̃	f̃	PROPN
ejpam-3382	224	9	acts	act	VERB
ejpam-3382	224	10	from	from	ADP
ejpam-3382	224	11	b3,2	b3,2	PROPN
ejpam-3382	224	12	2,2,t	2,2,t	NOUN
ejpam-3382	224	13	⋃	⋃	PUNCT
ejpam-3382	224	14	(	(	PUNCT
ejpam-3382	224	15	g	g	PROPN
ejpam-3382	224	16	⋂	⋂	PROPN
ejpam-3382	224	17	b2,1	b2,1	PROPN
ejpam-3382	224	18	2,2,t	2,2,t	NUM
ejpam-3382	224	19	)	)	PUNCT
ejpam-3382	224	20	into	into	ADP
ejpam-3382	224	21	w	w	PROPN
ejpam-3382	224	22	0,1	0,1	NUM
ejpam-3382	224	23	t	t	NOUN
ejpam-3382	224	24	,	,	PUNCT
ejpam-3382	224	25	x,2(qt	x,2(qt	PROPN
ejpam-3382	224	26	)	)	PUNCT
ejpam-3382	225	1	so	so	SCONJ
ejpam-3382	225	2	that	that	SCONJ
ejpam-3382	225	3	,	,	PUNCT
ejpam-3382	225	4	for	for	ADP
ejpam-3382	225	5	all	all	DET
ejpam-3382	225	6	u	u	NOUN
ejpam-3382	225	7	,	,	PUNCT
ejpam-3382	225	8	v	v	NOUN
ejpam-3382	225	9	∈	∈	NOUN
ejpam-3382	225	10	b3,2	b3,2	NOUN
ejpam-3382	225	11	2,2,t	2,2,t	NUM
ejpam-3382	225	12	and	and	CCONJ
ejpam-3382	225	13	t	t	NOUN
ejpam-3382	225	14	∈	∈	PROPN
ejpam-3382	225	15	[	[	X
ejpam-3382	225	16	0	0	NUM
ejpam-3382	225	17	,	,	PUNCT
ejpam-3382	225	18	t	t	X
ejpam-3382	225	19	]	]	PUNCT
ejpam-3382	225	20	‖f(u(t	‖f(u(t	NUM
ejpam-3382	225	21	,	,	PUNCT
ejpam-3382	225	22	x))‖w	x))‖w	X
ejpam-3382	225	23	1	1	NUM
ejpam-3382	225	24	2	2	NUM
ejpam-3382	225	25	(	(	PUNCT
ejpam-3382	225	26	ω	ω	NOUN
ejpam-3382	225	27	)	)	PUNCT
ejpam-3382	225	28	≤	≤	NOUN
ejpam-3382	225	29	a(t	a(t	NOUN
ejpam-3382	225	30	)	)	PUNCT
ejpam-3382	225	31	+	+	NUM
ejpam-3382	225	32	b(t	b(t	NOUN
ejpam-3382	225	33	)	)	PUNCT
ejpam-3382	225	34	·	·	PUNCT
ejpam-3382	226	1	‖u‖	‖u‖	PROPN
ejpam-3382	226	2	b3,2	b3,2	NOUN
ejpam-3382	226	3	2,2,t	2,2,t	NOUN
ejpam-3382	226	4	,	,	PUNCT
ejpam-3382	226	5	a(t	a(t	NOUN
ejpam-3382	226	6	)	)	PUNCT
ejpam-3382	226	7	,	,	PUNCT
ejpam-3382	226	8	b(t	b(t	NOUN
ejpam-3382	226	9	)	)	PUNCT
ejpam-3382	226	10	∈	∈	PROPN
ejpam-3382	226	11	l2(0	l2(0	NOUN
ejpam-3382	226	12	,	,	PUNCT
ejpam-3382	226	13	t	t	PROPN
ejpam-3382	226	14	)	)	PUNCT
ejpam-3382	226	15	,	,	PUNCT
ejpam-3382	226	16	‖f(u(t	‖f(u(t	NUM
ejpam-3382	226	17	,	,	PUNCT
ejpam-3382	226	18	x))−	x))−	PROPN
ejpam-3382	226	19	f(v(t	f(v(t	PROPN
ejpam-3382	226	20	,	,	PUNCT
ejpam-3382	226	21	x))‖w	x))‖w	X
ejpam-3382	226	22	1	1	NUM
ejpam-3382	226	23	2	2	NUM
ejpam-3382	226	24	(	(	PUNCT
ejpam-3382	226	25	ω	ω	NOUN
ejpam-3382	226	26	)	)	PUNCT
ejpam-3382	226	27	≤	≤	NOUN
ejpam-3382	226	28	c(t	c(t	PROPN
ejpam-3382	226	29	)	)	PUNCT
ejpam-3382	226	30	·	·	PUNCT
ejpam-3382	227	1	‖u−	‖u−	NUM
ejpam-3382	227	2	v‖b3,2	v‖b3,2	NOUN
ejpam-3382	227	3	2,2,t	2,2,t	NUM
ejpam-3382	227	4	,	,	PUNCT
ejpam-3382	227	5	c(t	c(t	PROPN
ejpam-3382	227	6	)	)	PUNCT
ejpam-3382	227	7	∈	∈	PROPN
ejpam-3382	227	8	l2(0	l2(0	NOUN
ejpam-3382	227	9	,	,	PUNCT
ejpam-3382	227	10	t	t	PROPN
ejpam-3382	227	11	)	)	PUNCT
ejpam-3382	227	12	,	,	PUNCT
ejpam-3382	227	13	∥∥∥f̃(u(t	∥∥∥f̃(u(t	PROPN
ejpam-3382	227	14	,	,	PUNCT
ejpam-3382	227	15	x))−	x))−	PROPN
ejpam-3382	227	16	f̃(v(t	f̃(v(t	NOUN
ejpam-3382	227	17	,	,	PUNCT
ejpam-3382	227	18	x	x	NOUN
ejpam-3382	227	19	)	)	PUNCT
ejpam-3382	227	20	)	)	PUNCT
ejpam-3382	227	21	∥∥∥	∥∥∥	PROPN
ejpam-3382	227	22	w	w	NOUN
ejpam-3382	227	23	1	1	NUM
ejpam-3382	227	24	2	2	NUM
ejpam-3382	227	25	(	(	PUNCT
ejpam-3382	227	26	ω	ω	NOUN
ejpam-3382	227	27	)	)	PUNCT
ejpam-3382	227	28	≤	≤	PROPN
ejpam-3382	227	29	c̃(t	c̃(t	PROPN
ejpam-3382	227	30	)	)	PUNCT
ejpam-3382	227	31	·	·	PUNCT
ejpam-3382	228	1	‖u−	‖u−	DET
ejpam-3382	228	2	v‖	v‖	NOUN
ejpam-3382	228	3	b3,2	b3,2	ADJ
ejpam-3382	228	4	2,2,t	2,2,t	NOUN
ejpam-3382	228	5	,	,	PUNCT
ejpam-3382	228	6	c̃(t	c̃(t	PROPN
ejpam-3382	228	7	)	)	PUNCT
ejpam-3382	228	8	∈	∈	PROPN
ejpam-3382	228	9	l2(0	l2(0	NOUN
ejpam-3382	228	10	,	,	PUNCT
ejpam-3382	228	11	t	t	PROPN
ejpam-3382	228	12	)	)	PUNCT
ejpam-3382	228	13	,	,	PUNCT
ejpam-3382	228	14	sup	sup	NOUN
ejpam-3382	228	15	u∈k1	u∈k1	NOUN
ejpam-3382	228	16	{	{	PUNCT
ejpam-3382	228	17	∥∥∥f(u(t	∥∥∥f(u(t	PROPN
ejpam-3382	228	18	,	,	PUNCT
ejpam-3382	228	19	x))−	x))−	NOUN
ejpam-3382	228	20	f̃(u(t	f̃(u(t	PROPN
ejpam-3382	228	21	,	,	PUNCT
ejpam-3382	228	22	x	x	NOUN
ejpam-3382	228	23	)	)	PUNCT
ejpam-3382	228	24	)	)	PUNCT
ejpam-3382	228	25	∥∥∥	∥∥∥	PROPN
ejpam-3382	228	26	w	w	PROPN
ejpam-3382	228	27	0,1	0,1	NUM
ejpam-3382	228	28	t	t	NOUN
ejpam-3382	228	29	,	,	PUNCT
ejpam-3382	228	30	x,2(qt	x,2(qt	PROPN
ejpam-3382	228	31	)	)	PUNCT
ejpam-3382	228	32	}	}	PUNCT
ejpam-3382	228	33	≡	≡	PROPN
ejpam-3382	228	34	ε	ε	PROPN
ejpam-3382	228	35	<	<	X
ejpam-3382	228	36	+	+	PROPN
ejpam-3382	228	37	∞	∞	PROPN
ejpam-3382	228	38	,	,	PUNCT
ejpam-3382	228	39	where	where	SCONJ
ejpam-3382	228	40	k1	k1	NOUN
ejpam-3382	228	41	=	=	PUNCT
ejpam-3382	228	42	k1(‖u‖	k1(‖u‖	X
ejpam-3382	228	43	b3,2	b3,2	ADJ
ejpam-3382	228	44	2,2,t	2,2,t	PROPN
ejpam-3382	228	45	≤	≤	NUM
ejpam-3382	228	46	a1	a1	NOUN
ejpam-3382	228	47	)	)	PUNCT
ejpam-3382	228	48	,	,	PUNCT
ejpam-3382	228	49	a1	a1	PROPN
ejpam-3382	228	50	≡	≡	PROPN
ejpam-3382	228	51	{	{	PUNCT
ejpam-3382	229	1	[	[	X
ejpam-3382	229	2	2	2	NUM
ejpam-3382	229	3	‖w(t	‖w(t	ADJ
ejpam-3382	229	4	,	,	PUNCT
ejpam-3382	229	5	x)‖2	x)‖2	NOUN
ejpam-3382	230	1	b3,2	b3,2	ADJ
ejpam-3382	230	2	2,2,t	2,2,t	NOUN
ejpam-3382	230	3	+	+	CCONJ
ejpam-3382	230	4	4(2	4(2	NUM
ejpam-3382	230	5	t	t	NOUN
ejpam-3382	230	6	+	+	CCONJ
ejpam-3382	230	7	1	1	NUM
ejpam-3382	230	8	)	)	PUNCT
ejpam-3382	230	9	·	·	PUNCT
ejpam-3382	230	10	c2	c2	PROPN
ejpam-3382	230	11	0	0	PUNCT
ejpam-3382	230	12	·	·	PUNCT
ejpam-3382	230	13	‖a(t)‖2l2(0,t	‖a(t)‖2l2(0,t	NOUN
ejpam-3382	230	14	)	)	PUNCT
ejpam-3382	230	15	]	]	PUNCT
ejpam-3382	230	16	·	·	PUNCT
ejpam-3382	231	1	exp[4(2	exp[4(2	NOUN
ejpam-3382	231	2	t	t	NOUN
ejpam-3382	231	3	+	+	CCONJ
ejpam-3382	231	4	1	1	NUM
ejpam-3382	231	5	)	)	PUNCT
ejpam-3382	231	6	·	·	PUNCT
ejpam-3382	231	7	c2	c2	PROPN
ejpam-3382	231	8	0	0	NUM
ejpam-3382	231	9	·	·	PUNCT
ejpam-3382	231	10	‖b(t)‖	‖b(t)‖	NOUN
ejpam-3382	231	11	2	2	NUM
ejpam-3382	231	12	l2(0,t	l2(0,t	NOUN
ejpam-3382	231	13	)	)	PUNCT
ejpam-3382	231	14	]	]	PUNCT
ejpam-3382	231	15	}	}	PUNCT
ejpam-3382	231	16	1	1	NUM
ejpam-3382	231	17	2	2	NUM
ejpam-3382	231	18	,	,	PUNCT
ejpam-3382	231	19	the	the	DET
ejpam-3382	231	20	function	function	NOUN
ejpam-3382	231	21	w(t	w(t	PROPN
ejpam-3382	231	22	,	,	PUNCT
ejpam-3382	231	23	x	x	X
ejpam-3382	231	24	)	)	PUNCT
ejpam-3382	231	25	is	be	AUX
ejpam-3382	231	26	defined	define	VERB
ejpam-3382	231	27	by	by	ADP
ejpam-3382	231	28	(	(	PUNCT
ejpam-3382	231	29	11	11	NUM
ejpam-3382	231	30	)	)	PUNCT
ejpam-3382	231	31	and	and	CCONJ
ejpam-3382	231	32	the	the	DET
ejpam-3382	231	33	number	number	NOUN
ejpam-3382	231	34	c0	c0	NOUN
ejpam-3382	231	35	is	be	AUX
ejpam-3382	231	36	defined	define	VERB
ejpam-3382	231	37	by	by	ADP
ejpam-3382	231	38	(	(	PUNCT
ejpam-3382	231	39	12	12	NUM
ejpam-3382	231	40	)	)	PUNCT
ejpam-3382	231	41	.	.	PUNCT
ejpam-3382	232	1	then	then	ADV
ejpam-3382	232	2	for	for	ADP
ejpam-3382	232	3	the	the	DET
ejpam-3382	232	4	unique	unique	ADJ
ejpam-3382	232	5	almost	almost	ADV
ejpam-3382	232	6	everywhere	everywhere	ADV
ejpam-3382	232	7	solutions	solution	NOUN
ejpam-3382	232	8	u(t	u(t	NOUN
ejpam-3382	232	9	,	,	PUNCT
ejpam-3382	232	10	x	x	NOUN
ejpam-3382	232	11	)	)	PUNCT
ejpam-3382	232	12	and	and	CCONJ
ejpam-3382	232	13	ũ(t	ũ(t	PROPN
ejpam-3382	232	14	,	,	PUNCT
ejpam-3382	232	15	x	x	NOUN
ejpam-3382	232	16	)	)	PUNCT
ejpam-3382	232	17	of	of	ADP
ejpam-3382	232	18	problems	problem	NOUN
ejpam-3382	232	19	(	(	PUNCT
ejpam-3382	232	20	1)-(3	1)-(3	NUM
ejpam-3382	232	21	)	)	PUNCT
ejpam-3382	232	22	and	and	CCONJ
ejpam-3382	232	23	ã	ã	PROPN
ejpam-3382	232	24	,	,	PUNCT
ejpam-3382	232	25	respectively	respectively	ADV
ejpam-3382	232	26	,	,	PUNCT
ejpam-3382	232	27	we	we	PRON
ejpam-3382	232	28	have	have	VERB
ejpam-3382	232	29	‖u(t	‖u(t	PUNCT
ejpam-3382	232	30	,	,	PUNCT
ejpam-3382	232	31	x)−	x)−	PROPN
ejpam-3382	232	32	ũ(t	ũ(t	PROPN
ejpam-3382	232	33	,	,	PUNCT
ejpam-3382	232	34	x)‖	x)‖	PUNCT
ejpam-3382	233	1	b3,2	b3,2	ADJ
ejpam-3382	233	2	2,2,t	2,2,t	PROPN
ejpam-3382	233	3	≤	≤	NUM
ejpam-3382	233	4	{	{	PUNCT
ejpam-3382	233	5	√	√	PROPN
ejpam-3382	233	6	3	3	NUM
ejpam-3382	233	7	·	·	PUNCT
ejpam-3382	233	8	c0	c0	X
ejpam-3382	233	9	·	·	PUNCT
ejpam-3382	233	10	‖l(ϕ(x)−	‖l(ϕ(x)−	PROPN
ejpam-3382	234	1	ϕ̃(x))‖w	ϕ̃(x))‖w	PROPN
ejpam-3382	234	2	1	1	NUM
ejpam-3382	234	3	2	2	NUM
ejpam-3382	234	4	(	(	PUNCT
ejpam-3382	234	5	ω	ω	NOUN
ejpam-3382	234	6	)	)	PUNCT
ejpam-3382	234	7	+	+	CCONJ
ejpam-3382	234	8	√	√	NUM
ejpam-3382	234	9	6	6	NUM
ejpam-3382	234	10	·	·	PUNCT
ejpam-3382	234	11	c0	c0	X
ejpam-3382	234	12	·	·	PUNCT
ejpam-3382	234	13	∥∥∥ψ(x)−	∥∥∥ψ(x)−	PROPN
ejpam-3382	234	14	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	234	15	)	)	PUNCT
ejpam-3382	235	1	∥∥∥	∥∥∥	PROPN
ejpam-3382	235	2	w	w	NOUN
ejpam-3382	235	3	1	1	NUM
ejpam-3382	235	4	2	2	NUM
ejpam-3382	235	5	(	(	PUNCT
ejpam-3382	235	6	ω	ω	NOUN
ejpam-3382	235	7	)	)	PUNCT
ejpam-3382	235	8	+	+	CCONJ
ejpam-3382	235	9	√	√	NUM
ejpam-3382	235	10	6	6	NUM
ejpam-3382	235	11	·	·	PUNCT
ejpam-3382	235	12	∥∥∥l(ψ(x)−	∥∥∥l(ψ(x)−	PROPN
ejpam-3382	235	13	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	235	14	)	)	PUNCT
ejpam-3382	235	15	)	)	PUNCT
ejpam-3382	236	1	∥∥∥	∥∥∥	PROPN
ejpam-3382	236	2	l2(ω	l2(ω	NOUN
ejpam-3382	236	3	)	)	PUNCT
ejpam-3382	236	4	+	+	NUM
ejpam-3382	236	5	√	√	NUM
ejpam-3382	236	6	6(2	6(2	NUM
ejpam-3382	236	7	t	t	NOUN
ejpam-3382	236	8	+	+	NOUN
ejpam-3382	236	9	1	1	NUM
ejpam-3382	236	10	)	)	PUNCT
ejpam-3382	236	11	·	·	PUNCT
ejpam-3382	237	1	c0	c0	X
ejpam-3382	237	2	·	·	PUNCT
ejpam-3382	237	3	ε	ε	PROPN
ejpam-3382	237	4	}	}	PUNCT
ejpam-3382	237	5	·	·	PUNCT
ejpam-3382	237	6	exp{3(2	exp{3(2	NOUN
ejpam-3382	237	7	t	t	NOUN
ejpam-3382	237	8	+	+	CCONJ
ejpam-3382	237	9	1	1	NUM
ejpam-3382	237	10	)	)	PUNCT
ejpam-3382	237	11	·	·	PUNCT
ejpam-3382	237	12	c2	c2	PROPN
ejpam-3382	237	13	0	0	NUM
ejpam-3382	237	14	·	·	PUNCT
ejpam-3382	238	1	‖c̃(t)‖	‖c̃(t)‖	NOUN
ejpam-3382	238	2	2	2	NUM
ejpam-3382	238	3	l2(0,t	l2(0,t	NOUN
ejpam-3382	238	4	)	)	PUNCT
ejpam-3382	238	5	}	}	PUNCT
ejpam-3382	238	6	,	,	PUNCT
ejpam-3382	238	7	(	(	PUNCT
ejpam-3382	238	8	28	28	NUM
ejpam-3382	238	9	)	)	PUNCT
ejpam-3382	238	10	where	where	SCONJ
ejpam-3382	238	11	the	the	DET
ejpam-3382	238	12	operator	operator	NOUN
ejpam-3382	238	13	l	l	NOUN
ejpam-3382	238	14	is	be	AUX
ejpam-3382	238	15	defined	define	VERB
ejpam-3382	238	16	by	by	ADP
ejpam-3382	238	17	(	(	PUNCT
ejpam-3382	238	18	4	4	NUM
ejpam-3382	238	19	)	)	PUNCT
ejpam-3382	238	20	and	and	CCONJ
ejpam-3382	238	21	the	the	DET
ejpam-3382	238	22	number	number	NOUN
ejpam-3382	238	23	c0	c0	NOUN
ejpam-3382	238	24	is	be	AUX
ejpam-3382	238	25	defined	define	VERB
ejpam-3382	238	26	by	by	ADP
ejpam-3382	238	27	(	(	PUNCT
ejpam-3382	238	28	12	12	NUM
ejpam-3382	238	29	)	)	PUNCT
ejpam-3382	238	30	.	.	PUNCT
ejpam-3382	239	1	proof	proof	NOUN
ejpam-3382	239	2	:	:	PUNCT
ejpam-3382	239	3	by	by	ADP
ejpam-3382	239	4	theorem	theorem	NOUN
ejpam-3382	239	5	2	2	NUM
ejpam-3382	239	6	from	from	ADP
ejpam-3382	239	7	work	work	NOUN
ejpam-3382	239	8	[	[	X
ejpam-3382	239	9	1	1	X
ejpam-3382	239	10	]	]	PUNCT
ejpam-3382	239	11	each	each	PRON
ejpam-3382	239	12	of	of	ADP
ejpam-3382	239	13	the	the	DET
ejpam-3382	239	14	problems	problem	NOUN
ejpam-3382	239	15	(	(	PUNCT
ejpam-3382	239	16	1)-(3	1)-(3	NUM
ejpam-3382	239	17	)	)	PUNCT
ejpam-3382	239	18	and	and	CCONJ
ejpam-3382	239	19	ã	ã	PROPN
ejpam-3382	239	20	has	have	VERB
ejpam-3382	239	21	a	a	DET
ejpam-3382	239	22	unique	unique	ADJ
ejpam-3382	239	23	almost	almost	ADV
ejpam-3382	239	24	everywhere	everywhere	ADV
ejpam-3382	239	25	solution	solution	NOUN
ejpam-3382	239	26	u(t	u(t	NOUN
ejpam-3382	239	27	,	,	PUNCT
ejpam-3382	239	28	x	x	NOUN
ejpam-3382	239	29	)	)	PUNCT
ejpam-3382	239	30	=	=	PUNCT
ejpam-3382	240	1	∞∑	∞∑	NOUN
ejpam-3382	240	2	s=1	s=1	SYM
ejpam-3382	240	3	us(t)vs(x	us(t)vs(x	ADJ
ejpam-3382	240	4	)	)	PUNCT
ejpam-3382	240	5	and	and	CCONJ
ejpam-3382	240	6	ũ(t	ũ(t	PROPN
ejpam-3382	240	7	,	,	PUNCT
ejpam-3382	240	8	x	x	NOUN
ejpam-3382	240	9	)	)	PUNCT
ejpam-3382	240	10	=	=	SYM
ejpam-3382	241	1	∞∑	∞∑	NOUN
ejpam-3382	241	2	s=1	s=1	PUNCT
ejpam-3382	241	3	ũs(t)vs(x	ũs(t)vs(x	NOUN
ejpam-3382	241	4	)	)	PUNCT
ejpam-3382	241	5	,	,	PUNCT
ejpam-3382	241	6	respectively	respectively	ADV
ejpam-3382	241	7	,	,	PUNCT
ejpam-3382	241	8	so	so	SCONJ
ejpam-3382	241	9	that	that	SCONJ
ejpam-3382	241	10	u	u	PROPN
ejpam-3382	241	11	∈	∈	PROPN
ejpam-3382	241	12	k1	k1	NOUN
ejpam-3382	241	13	⊂	⊂	NOUN
ejpam-3382	241	14	b3,2	b3,2	ADJ
ejpam-3382	241	15	2,2,t	2,2,t	NOUN
ejpam-3382	241	16	,	,	PUNCT
ejpam-3382	241	17	ũ	ũ	PROPN
ejpam-3382	241	18	∈	∈	PROPN
ejpam-3382	241	19	b3,2	b3,2	NOUN
ejpam-3382	241	20	2,2,t	2,2,t	NUM
ejpam-3382	241	21	.	.	PUNCT
ejpam-3382	242	1	then	then	ADV
ejpam-3382	242	2	,	,	PUNCT
ejpam-3382	242	3	by	by	ADP
ejpam-3382	242	4	virtue	virtue	NOUN
ejpam-3382	242	5	of	of	ADP
ejpam-3382	242	6	the	the	DET
ejpam-3382	242	7	lemma	lemma	PROPN
ejpam-3382	242	8	in	in	ADP
ejpam-3382	242	9	section	section	NOUN
ejpam-3382	242	10	2	2	NUM
ejpam-3382	242	11	,	,	PUNCT
ejpam-3382	242	12	the	the	DET
ejpam-3382	242	13	functions	function	NOUN
ejpam-3382	242	14	us(t	us(t	PUNCT
ejpam-3382	242	15	)	)	PUNCT
ejpam-3382	242	16	(	(	PUNCT
ejpam-3382	242	17	s	s	NOUN
ejpam-3382	242	18	=	=	SYM
ejpam-3382	242	19	1	1	NUM
ejpam-3382	242	20	,	,	PUNCT
ejpam-3382	242	21	2	2	NUM
ejpam-3382	242	22	,	,	PUNCT
ejpam-3382	242	23	.	.	PUNCT
ejpam-3382	242	24	.	.	PUNCT
ejpam-3382	242	25	.	.	PUNCT
ejpam-3382	242	26	)	)	PUNCT
ejpam-3382	243	1	and	and	CCONJ
ejpam-3382	243	2	ũs(t	ũs(t	ADP
ejpam-3382	243	3	)	)	PUNCT
ejpam-3382	243	4	(	(	PUNCT
ejpam-3382	243	5	s	s	NOUN
ejpam-3382	243	6	=	=	SYM
ejpam-3382	243	7	1	1	NUM
ejpam-3382	243	8	,	,	PUNCT
ejpam-3382	243	9	2	2	NUM
ejpam-3382	243	10	,	,	PUNCT
ejpam-3382	243	11	.	.	PUNCT
ejpam-3382	243	12	.	.	PUNCT
ejpam-3382	243	13	.	.	PUNCT
ejpam-3382	243	14	)	)	PUNCT
ejpam-3382	243	15	satisfy	satisfy	NOUN
ejpam-3382	243	16	system	system	NOUN
ejpam-3382	243	17	(	(	PUNCT
ejpam-3382	243	18	5	5	NUM
ejpam-3382	243	19	)	)	PUNCT
ejpam-3382	243	20	,	,	PUNCT
ejpam-3382	243	21	so	so	SCONJ
ejpam-3382	243	22	that	that	SCONJ
ejpam-3382	243	23	for	for	ADP
ejpam-3382	243	24	s.	s.	PROPN
ejpam-3382	243	25	j.aliyev	j.aliyev	PROPN
ejpam-3382	243	26	,	,	PUNCT
ejpam-3382	243	27	a.	a.	PROPN
ejpam-3382	243	28	q.aliyeva	q.aliyeva	PROPN
ejpam-3382	243	29	,	,	PUNCT
ejpam-3382	243	30	g.	g.	PROPN
ejpam-3382	243	31	z.	z.	PROPN
ejpam-3382	243	32	abdullayeva	abdullayeva	PROPN
ejpam-3382	243	33	/	/	SYM
ejpam-3382	243	34	eur	eur	PROPN
ejpam-3382	243	35	.	.	PUNCT
ejpam-3382	244	1	j.	j.	PROPN
ejpam-3382	244	2	pure	pure	PROPN
ejpam-3382	244	3	appl	appl	PROPN
ejpam-3382	244	4	.	.	PROPN
ejpam-3382	244	5	math	math	PROPN
ejpam-3382	244	6	,	,	PUNCT
ejpam-3382	244	7	12	12	NUM
ejpam-3382	244	8	(	(	PUNCT
ejpam-3382	244	9	2	2	NUM
ejpam-3382	244	10	)	)	PUNCT
ejpam-3382	244	11	(	(	PUNCT
ejpam-3382	244	12	2019	2019	NUM
ejpam-3382	244	13	)	)	PUNCT
ejpam-3382	244	14	,	,	PUNCT
ejpam-3382	244	15	577	577	NUM
ejpam-3382	244	16	-	-	SYM
ejpam-3382	244	17	589	589	NUM
ejpam-3382	244	18	587	587	NUM
ejpam-3382	244	19	ũs(t	ũs(t	NOUN
ejpam-3382	244	20	)	)	PUNCT
ejpam-3382	244	21	(	(	PUNCT
ejpam-3382	244	22	s	s	NOUN
ejpam-3382	244	23	=	=	SYM
ejpam-3382	244	24	1	1	NUM
ejpam-3382	244	25	,	,	PUNCT
ejpam-3382	244	26	2	2	NUM
ejpam-3382	244	27	,	,	PUNCT
ejpam-3382	244	28	.	.	PUNCT
ejpam-3382	244	29	.	.	PUNCT
ejpam-3382	244	30	.	.	PUNCT
ejpam-3382	244	31	)	)	PUNCT
ejpam-3382	245	1	in	in	ADP
ejpam-3382	245	2	the	the	DET
ejpam-3382	245	3	system	system	NOUN
ejpam-3382	245	4	(	(	PUNCT
ejpam-3382	245	5	5	5	NUM
ejpam-3382	245	6	)	)	PUNCT
ejpam-3382	245	7	instead	instead	ADV
ejpam-3382	245	8	of	of	ADP
ejpam-3382	245	9	ϕs	ϕs	INTJ
ejpam-3382	245	10	,	,	PUNCT
ejpam-3382	245	11	ψs	ψs	NOUN
ejpam-3382	245	12	and	and	CCONJ
ejpam-3382	245	13	f(u	f(u	PROPN
ejpam-3382	245	14	)	)	PUNCT
ejpam-3382	245	15	need	need	VERB
ejpam-3382	245	16	to	to	PART
ejpam-3382	245	17	take	take	VERB
ejpam-3382	245	18	ϕ̃s	ϕ̃s	NOUN
ejpam-3382	245	19	,	,	PUNCT
ejpam-3382	245	20	ψ̃s	ψ̃s	PUNCT
ejpam-3382	245	21	and	and	CCONJ
ejpam-3382	245	22	f̃(u	f̃(u	PROPN
ejpam-3382	245	23	)	)	PUNCT
ejpam-3382	245	24	,	,	PUNCT
ejpam-3382	245	25	respectively	respectively	ADV
ejpam-3382	245	26	.	.	PUNCT
ejpam-3382	246	1	using	use	VERB
ejpam-3382	246	2	this	this	DET
ejpam-3382	246	3	fact	fact	NOUN
ejpam-3382	246	4	,	,	PUNCT
ejpam-3382	246	5	from	from	ADP
ejpam-3382	246	6	system	system	NOUN
ejpam-3382	246	7	(	(	PUNCT
ejpam-3382	246	8	5	5	X
ejpam-3382	246	9	)	)	PUNCT
ejpam-3382	246	10	it	it	PRON
ejpam-3382	246	11	is	be	AUX
ejpam-3382	246	12	easy	easy	ADJ
ejpam-3382	246	13	to	to	PART
ejpam-3382	246	14	obtain	obtain	VERB
ejpam-3382	246	15	that	that	SCONJ
ejpam-3382	246	16	∀t	∀t	PROPN
ejpam-3382	246	17	∈	∈	PROPN
ejpam-3382	247	1	[	[	X
ejpam-3382	247	2	0	0	NUM
ejpam-3382	247	3	,	,	PUNCT
ejpam-3382	247	4	t	t	X
ejpam-3382	247	5	]	]	PUNCT
ejpam-3382	247	6	:	:	PUNCT
ejpam-3382	247	7	‖u−	‖u−	PROPN
ejpam-3382	247	8	ũ‖2	ũ‖2	PROPN
ejpam-3382	247	9	b3,2	b3,2	ADJ
ejpam-3382	247	10	2,2,t	2,2,t	NUM
ejpam-3382	247	11	≤	≤	NUM
ejpam-3382	247	12	3	3	NUM
ejpam-3382	247	13	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-3382	248	1	∞∑	∞∑	NUM
ejpam-3382	248	2	s=1	s=1	X
ejpam-3382	248	3	(	(	PUNCT
ejpam-3382	248	4	ϕs	ϕs	ADP
ejpam-3382	248	5	−	−	PROPN
ejpam-3382	248	6	ϕ̃s)vs(x	ϕ̃s)vs(x	PROPN
ejpam-3382	248	7	)	)	PUNCT
ejpam-3382	248	8	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-3382	248	9	2	2	NUM
ejpam-3382	249	1	b3,2	b3,2	NOUN
ejpam-3382	249	2	2,2,t	2,2,t	NOUN
ejpam-3382	249	3	+	+	CCONJ
ejpam-3382	249	4	3	3	NUM
ejpam-3382	249	5	∥∥∥∥∥	∥∥∥∥∥	NOUN
ejpam-3382	249	6	∞∑	∞∑	NUM
ejpam-3382	249	7	s=1	s=1	ADP
ejpam-3382	249	8	1	1	NUM
ejpam-3382	249	9	λ2	λ2	NOUN
ejpam-3382	249	10	s	s	PART
ejpam-3382	249	11	(	(	PUNCT
ejpam-3382	249	12	1−	1−	NUM
ejpam-3382	249	13	e−λ2st)(ψs	e−λ2st)(ψs	X
ejpam-3382	249	14	−	−	PROPN
ejpam-3382	249	15	ψ̃s)vs(x	ψ̃s)vs(x	PROPN
ejpam-3382	249	16	)	)	PUNCT
ejpam-3382	249	17	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-3382	249	18	2	2	NUM
ejpam-3382	249	19	b3,2	b3,2	NOUN
ejpam-3382	249	20	2,2,t	2,2,t	NUM
ejpam-3382	249	21	+3	+3	PUNCT
ejpam-3382	249	22	∥∥∥∥∥∥	∥∥∥∥∥∥	PUNCT
ejpam-3382	250	1	∞∑	∞∑	NUM
ejpam-3382	250	2	s=1	s=1	ADP
ejpam-3382	250	3	1	1	NUM
ejpam-3382	250	4	λ2	λ2	NOUN
ejpam-3382	250	5	s	s	VERB
ejpam-3382	250	6	t∫	t∫	NUM
ejpam-3382	250	7	0	0	NUM
ejpam-3382	250	8	∫	∫	PROPN
ejpam-3382	250	9	ω	ω	PROPN
ejpam-3382	251	1	[	[	X
ejpam-3382	251	2	f(u(τ	f(u(τ	PROPN
ejpam-3382	251	3	,	,	PUNCT
ejpam-3382	251	4	ξ))−	ξ))−	ADJ
ejpam-3382	251	5	f̃(ũ(τ	f̃(ũ(τ	PROPN
ejpam-3382	251	6	,	,	PUNCT
ejpam-3382	251	7	ξ	ξ	NOUN
ejpam-3382	251	8	)	)	PUNCT
ejpam-3382	251	9	)	)	PUNCT
ejpam-3382	251	10	]	]	PUNCT
ejpam-3382	251	11	·	·	PUNCT
ejpam-3382	252	1	[	[	X
ejpam-3382	252	2	1−	1−	NUM
ejpam-3382	252	3	e−λ2s(t−τ)]vs(ξ)dξdτ	e−λ2s(t−τ)]vs(ξ)dξdτ	PROPN
ejpam-3382	252	4	·	·	PUNCT
ejpam-3382	252	5	vs(x	vs(x	NUM
ejpam-3382	252	6	)	)	PUNCT
ejpam-3382	252	7	∥∥∥∥∥∥	∥∥∥∥∥∥	NUM
ejpam-3382	252	8	2	2	NUM
ejpam-3382	253	1	b3,2	b3,2	NOUN
ejpam-3382	253	2	2,2,t	2,2,t	NUM
ejpam-3382	253	3	≤	≤	NUM
ejpam-3382	253	4	3	3	NUM
ejpam-3382	253	5	∞∑	∞∑	NOUN
ejpam-3382	253	6	s=1	s=1	PUNCT
ejpam-3382	254	1	[	[	X
ejpam-3382	254	2	λ3	λ3	PROPN
ejpam-3382	254	3	s(ϕs	s(ϕs	ADJ
ejpam-3382	254	4	−	−	PROPN
ejpam-3382	254	5	ϕ̃s)]2	ϕ̃s)]2	NUM
ejpam-3382	255	1	+	+	NUM
ejpam-3382	255	2	6	6	NUM
ejpam-3382	255	3	∞∑	∞∑	NUM
ejpam-3382	255	4	s=1	s=1	PUNCT
ejpam-3382	256	1	[	[	X
ejpam-3382	256	2	λs(ψs	λs(ψs	X
ejpam-3382	256	3	−	−	PROPN
ejpam-3382	256	4	ψ̃s)]2	ψ̃s)]2	NOUN
ejpam-3382	257	1	+	+	CCONJ
ejpam-3382	257	2	6	6	NUM
ejpam-3382	257	3	∞∑	∞∑	NUM
ejpam-3382	257	4	s=1	s=1	PUNCT
ejpam-3382	258	1	[	[	X
ejpam-3382	258	2	λ2	λ2	X
ejpam-3382	258	3	s(ψs	s(ψs	PROPN
ejpam-3382	258	4	−	−	PROPN
ejpam-3382	258	5	ψ̃s)]2	ψ̃s)]2	NOUN
ejpam-3382	259	1	+3(2	+3(2	PROPN
ejpam-3382	259	2	t	t	PROPN
ejpam-3382	260	1	+	+	CCONJ
ejpam-3382	260	2	1)c2	1)c2	NUM
ejpam-3382	260	3	0	0	NUM
ejpam-3382	260	4	·	·	PUNCT
ejpam-3382	261	1	t∫	t∫	DET
ejpam-3382	261	2	0	0	NUM
ejpam-3382	261	3	∥∥∥f(u(τ	∥∥∥f(u(τ	PROPN
ejpam-3382	261	4	,	,	PUNCT
ejpam-3382	261	5	x))−	x))−	PROPN
ejpam-3382	261	6	f̃(ũ(τ	f̃(ũ(τ	NOUN
ejpam-3382	261	7	,	,	PUNCT
ejpam-3382	261	8	x	x	NOUN
ejpam-3382	261	9	)	)	PUNCT
ejpam-3382	261	10	)	)	PUNCT
ejpam-3382	261	11	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	262	1	w	w	NOUN
ejpam-3382	262	2	1	1	NUM
ejpam-3382	262	3	2	2	NUM
ejpam-3382	262	4	(	(	PUNCT
ejpam-3382	262	5	ω	ω	NOUN
ejpam-3382	262	6	)	)	PUNCT
ejpam-3382	262	7	dτ	dτ	NOUN
ejpam-3382	262	8	≤	≤	ADV
ejpam-3382	262	9	3	3	NUM
ejpam-3382	263	1	∞∑	∞∑	NOUN
ejpam-3382	263	2	s=1	s=1	PUNCT
ejpam-3382	264	1	[	[	X
ejpam-3382	264	2	λ3	λ3	PROPN
ejpam-3382	264	3	s(ϕs	s(ϕs	ADJ
ejpam-3382	264	4	−	−	PROPN
ejpam-3382	264	5	ϕ̃s)]2	ϕ̃s)]2	NUM
ejpam-3382	265	1	+	+	NUM
ejpam-3382	265	2	6	6	NUM
ejpam-3382	265	3	∞∑	∞∑	NUM
ejpam-3382	265	4	s=1	s=1	PUNCT
ejpam-3382	266	1	[	[	X
ejpam-3382	266	2	λs(ψs	λs(ψs	X
ejpam-3382	266	3	−	−	PROPN
ejpam-3382	266	4	ψ̃s)]2	ψ̃s)]2	NOUN
ejpam-3382	267	1	+	+	CCONJ
ejpam-3382	267	2	6	6	NUM
ejpam-3382	267	3	∞∑	∞∑	NUM
ejpam-3382	267	4	s=1	s=1	PUNCT
ejpam-3382	268	1	[	[	X
ejpam-3382	268	2	λ2	λ2	X
ejpam-3382	268	3	s(ψs	s(ψs	PROPN
ejpam-3382	268	4	−	−	PROPN
ejpam-3382	268	5	ψ̃s)]2	ψ̃s)]2	NOUN
ejpam-3382	269	1	+6(2	+6(2	NOUN
ejpam-3382	269	2	t	t	NOUN
ejpam-3382	269	3	+	+	NOUN
ejpam-3382	269	4	1	1	NUM
ejpam-3382	269	5	)	)	PUNCT
ejpam-3382	269	6	·	·	PUNCT
ejpam-3382	269	7	c2	c2	PROPN
ejpam-3382	269	8	0	0	NUM
ejpam-3382	269	9	·	·	PUNCT
ejpam-3382	269	10			NOUN
ejpam-3382	270	1	t∫	t∫	PRON
ejpam-3382	270	2	0	0	NUM
ejpam-3382	270	3	∥∥∥f(u(τ	∥∥∥f(u(τ	PROPN
ejpam-3382	270	4	,	,	PUNCT
ejpam-3382	270	5	x))−	x))−	NOUN
ejpam-3382	270	6	f̃(u(τ	f̃(u(τ	NUM
ejpam-3382	270	7	,	,	PUNCT
ejpam-3382	270	8	x	x	NOUN
ejpam-3382	270	9	)	)	PUNCT
ejpam-3382	270	10	)	)	PUNCT
ejpam-3382	270	11	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	271	1	w	w	NOUN
ejpam-3382	271	2	1	1	NUM
ejpam-3382	271	3	2	2	NUM
ejpam-3382	271	4	(	(	PUNCT
ejpam-3382	271	5	ω	ω	NOUN
ejpam-3382	271	6	)	)	PUNCT
ejpam-3382	271	7	dτ	dτ	NOUN
ejpam-3382	272	1	+	+	CCONJ
ejpam-3382	272	2	t∫	t∫	PROPN
ejpam-3382	272	3	0	0	NUM
ejpam-3382	272	4	∥∥∥f̃(u(τ	∥∥∥f̃(u(τ	PROPN
ejpam-3382	272	5	,	,	PUNCT
ejpam-3382	272	6	x))−	x))−	PROPN
ejpam-3382	272	7	f̃(ũ(τ	f̃(ũ(τ	NOUN
ejpam-3382	272	8	,	,	PUNCT
ejpam-3382	272	9	x	x	NOUN
ejpam-3382	272	10	)	)	PUNCT
ejpam-3382	272	11	)	)	PUNCT
ejpam-3382	272	12	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	273	1	w	w	NOUN
ejpam-3382	273	2	1	1	NUM
ejpam-3382	273	3	2	2	NUM
ejpam-3382	273	4	(	(	PUNCT
ejpam-3382	273	5	ω	ω	NOUN
ejpam-3382	273	6	)	)	PUNCT
ejpam-3382	273	7	dτ	dτ	NOUN
ejpam-3382	273	8			NOUN
ejpam-3382	273	9	≤	≤	ADV
ejpam-3382	273	10	3	3	NUM
ejpam-3382	273	11	·	·	PUNCT
ejpam-3382	273	12	c2	c2	PROPN
ejpam-3382	273	13	0	0	NUM
ejpam-3382	273	14	·	·	PUNCT
ejpam-3382	274	1	‖l(ϕ(x)−	‖l(ϕ(x)−	PRON
ejpam-3382	274	2	ϕ̃(x))‖2w	ϕ̃(x))‖2w	VERB
ejpam-3382	274	3	1	1	NUM
ejpam-3382	274	4	2	2	NUM
ejpam-3382	274	5	(	(	PUNCT
ejpam-3382	274	6	ω	ω	NOUN
ejpam-3382	274	7	)	)	PUNCT
ejpam-3382	274	8	+	+	CCONJ
ejpam-3382	274	9	6	6	NUM
ejpam-3382	274	10	·	·	PUNCT
ejpam-3382	274	11	c2	c2	PROPN
ejpam-3382	274	12	0	0	NUM
ejpam-3382	274	13	·	·	PUNCT
ejpam-3382	274	14	∥∥∥ψ(x)−	∥∥∥ψ(x)−	PROPN
ejpam-3382	274	15	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	274	16	)	)	PUNCT
ejpam-3382	274	17	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	275	1	w	w	NOUN
ejpam-3382	275	2	1	1	NUM
ejpam-3382	275	3	2	2	NUM
ejpam-3382	275	4	(	(	PUNCT
ejpam-3382	275	5	ω	ω	NUM
ejpam-3382	275	6	)	)	PUNCT
ejpam-3382	275	7	+6	+6	PROPN
ejpam-3382	275	8	·	·	PUNCT
ejpam-3382	275	9	∥∥∥l(ψ(x)−	∥∥∥l(ψ(x)−	PROPN
ejpam-3382	275	10	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	275	11	)	)	PUNCT
ejpam-3382	275	12	)	)	PUNCT
ejpam-3382	275	13	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	276	1	l2(ω	l2(ω	NOUN
ejpam-3382	276	2	)	)	PUNCT
ejpam-3382	277	1	+	+	NOUN
ejpam-3382	277	2	6(2	6(2	NUM
ejpam-3382	277	3	t	t	NOUN
ejpam-3382	277	4	+	+	NOUN
ejpam-3382	277	5	1	1	NUM
ejpam-3382	277	6	)	)	PUNCT
ejpam-3382	277	7	·	·	PUNCT
ejpam-3382	277	8	c2	c2	PROPN
ejpam-3382	277	9	0	0	NUM
ejpam-3382	277	10	·	·	PUNCT
ejpam-3382	277	11	∥∥∥f(u(τ	∥∥∥f(u(τ	ADJ
ejpam-3382	277	12	,	,	PUNCT
ejpam-3382	277	13	x))−	x))−	NOUN
ejpam-3382	277	14	f̃(u(τ	f̃(u(τ	NUM
ejpam-3382	277	15	,	,	PUNCT
ejpam-3382	277	16	x	x	NOUN
ejpam-3382	277	17	)	)	PUNCT
ejpam-3382	277	18	)	)	PUNCT
ejpam-3382	277	19	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	278	1	w	w	PROPN
ejpam-3382	278	2	0,1	0,1	NUM
ejpam-3382	278	3	t	t	NOUN
ejpam-3382	278	4	,	,	PUNCT
ejpam-3382	278	5	x,2(qt	x,2(qt	PROPN
ejpam-3382	278	6	)	)	PUNCT
ejpam-3382	279	1	+6(2	+6(2	ADV
ejpam-3382	279	2	t	t	X
ejpam-3382	279	3	+	+	NOUN
ejpam-3382	279	4	1	1	NUM
ejpam-3382	279	5	)	)	PUNCT
ejpam-3382	279	6	·	·	PUNCT
ejpam-3382	279	7	c2	c2	PROPN
ejpam-3382	279	8	0	0	NUM
ejpam-3382	279	9	·	·	PUNCT
ejpam-3382	280	1	t∫	t∫	PRON
ejpam-3382	280	2	0	0	NUM
ejpam-3382	280	3	c̃2(τ	c̃2(τ	PROPN
ejpam-3382	280	4	)	)	PUNCT
ejpam-3382	280	5	·	·	PUNCT
ejpam-3382	281	1	‖u−	‖u−	DET
ejpam-3382	281	2	ũ‖	ũ‖	NOUN
ejpam-3382	281	3	b3,2	b3,2	ADJ
ejpam-3382	281	4	2,2,τ	2,2,τ	NUM
ejpam-3382	281	5	dτ	dτ	NOUN
ejpam-3382	281	6	≤	≤	ADV
ejpam-3382	281	7	3	3	NUM
ejpam-3382	281	8	·	·	PUNCT
ejpam-3382	281	9	c2	c2	PROPN
ejpam-3382	281	10	0	0	NUM
ejpam-3382	281	11	·	·	PUNCT
ejpam-3382	282	1	‖l(ϕ(x)−	‖l(ϕ(x)−	PRON
ejpam-3382	282	2	ϕ̃(x))‖2w	ϕ̃(x))‖2w	VERB
ejpam-3382	282	3	1	1	NUM
ejpam-3382	282	4	2	2	NUM
ejpam-3382	282	5	(	(	PUNCT
ejpam-3382	282	6	ω	ω	NUM
ejpam-3382	282	7	)	)	PUNCT
ejpam-3382	282	8	+6	+6	PROPN
ejpam-3382	283	1	·	·	PUNCT
ejpam-3382	283	2	c2	c2	PROPN
ejpam-3382	283	3	0	0	NUM
ejpam-3382	283	4	·	·	PUNCT
ejpam-3382	283	5	∥∥∥ψ(x)−	∥∥∥ψ(x)−	PROPN
ejpam-3382	283	6	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	283	7	)	)	PUNCT
ejpam-3382	283	8	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	284	1	w	w	NOUN
ejpam-3382	284	2	1	1	NUM
ejpam-3382	284	3	2	2	NUM
ejpam-3382	284	4	(	(	PUNCT
ejpam-3382	284	5	ω	ω	NOUN
ejpam-3382	284	6	)	)	PUNCT
ejpam-3382	284	7	+	+	CCONJ
ejpam-3382	284	8	6	6	NUM
ejpam-3382	284	9	·	·	PUNCT
ejpam-3382	284	10	∥∥∥l(ψ(x)−	∥∥∥l(ψ(x)−	PROPN
ejpam-3382	284	11	ψ̃(x	ψ̃(x	PROPN
ejpam-3382	284	12	)	)	PUNCT
ejpam-3382	284	13	)	)	PUNCT
ejpam-3382	284	14	∥∥∥2	∥∥∥2	NOUN
ejpam-3382	285	1	l2(ω	l2(ω	NOUN
ejpam-3382	285	2	)	)	PUNCT
ejpam-3382	286	1	+	+	NOUN
ejpam-3382	286	2	6(2	6(2	NUM
ejpam-3382	286	3	t	t	NOUN
ejpam-3382	286	4	+	+	NOUN
ejpam-3382	286	5	1	1	NUM
ejpam-3382	286	6	)	)	PUNCT
ejpam-3382	286	7	·	·	PUNCT
ejpam-3382	286	8	c2	c2	PROPN
ejpam-3382	286	9	0	0	NUM
ejpam-3382	286	10	·	·	PUNCT
ejpam-3382	287	1	ε2	ε2	ADJ
ejpam-3382	287	2	references	reference	NOUN
ejpam-3382	287	3	588	588	NUM
ejpam-3382	287	4	+6(2	+6(2	NOUN
ejpam-3382	287	5	t	t	NOUN
ejpam-3382	287	6	+	+	NOUN
ejpam-3382	287	7	1	1	NUM
ejpam-3382	287	8	)	)	PUNCT
ejpam-3382	287	9	·	·	PUNCT
ejpam-3382	288	1	c2	c2	PROPN
ejpam-3382	288	2	0	0	NUM
ejpam-3382	288	3	·	·	PUNCT
ejpam-3382	289	1	t∫	t∫	PRON
ejpam-3382	289	2	0	0	NUM
ejpam-3382	289	3	c̃2(τ	c̃2(τ	PROPN
ejpam-3382	289	4	)	)	PUNCT
ejpam-3382	289	5	·	·	PUNCT
ejpam-3382	290	1	‖u−	‖u−	X
ejpam-3382	290	2	ũ‖2	ũ‖2	PROPN
ejpam-3382	290	3	b3,2	b3,2	PROPN
ejpam-3382	290	4	2,2,τ	2,2,τ	PROPN
ejpam-3382	290	5	dτ	dτ	NOUN
ejpam-3382	290	6	.	.	PROPN
ejpam-3382	290	7	from	from	ADP
ejpam-3382	290	8	here	here	ADV
ejpam-3382	290	9	,	,	PUNCT
ejpam-3382	290	10	on	on	ADP
ejpam-3382	290	11	applying	apply	VERB
ejpam-3382	290	12	bellman	bellman	NOUN
ejpam-3382	290	13	’s	’s	PART
ejpam-3382	290	14	inequality	inequality	NOUN
ejpam-3382	290	15	(	(	PUNCT
ejpam-3382	290	16	[	[	X
ejpam-3382	290	17	4	4	NUM
ejpam-3382	290	18	,	,	PUNCT
ejpam-3382	290	19	p.188	p.188	X
ejpam-3382	290	20	,	,	PUNCT
ejpam-3382	290	21	189	189	NUM
ejpam-3382	290	22	]	]	PUNCT
ejpam-3382	290	23	)	)	PUNCT
ejpam-3382	290	24	,	,	PUNCT
ejpam-3382	290	25	we	we	PRON
ejpam-3382	290	26	obtain	obtain	VERB
ejpam-3382	290	27	the	the	DET
ejpam-3382	290	28	estimate	estimate	NOUN
ejpam-3382	290	29	(	(	PUNCT
ejpam-3382	290	30	28	28	NUM
ejpam-3382	290	31	)	)	PUNCT
ejpam-3382	290	32	.	.	PUNCT
ejpam-3382	291	1	acknowledgements	acknowledgement	NOUN
ejpam-3382	291	2	the	the	DET
ejpam-3382	291	3	authors	author	NOUN
ejpam-3382	291	4	would	would	AUX
ejpam-3382	291	5	like	like	VERB
ejpam-3382	291	6	to	to	PART
ejpam-3382	291	7	express	express	VERB
ejpam-3382	291	8	their	their	PRON
ejpam-3382	291	9	deep	deep	ADJ
ejpam-3382	291	10	gratitude	gratitude	NOUN
ejpam-3382	291	11	to	to	ADP
ejpam-3382	291	12	the	the	DET
ejpam-3382	291	13	editorial	editorial	ADJ
ejpam-3382	291	14	team	team	NOUN
ejpam-3382	291	15	and	and	CCONJ
ejpam-3382	291	16	the	the	DET
ejpam-3382	291	17	anonymous	anonymous	ADJ
ejpam-3382	291	18	referees	referee	NOUN
ejpam-3382	291	19	of	of	ADP
ejpam-3382	291	20	european	european	PROPN
ejpam-3382	291	21	journal	journal	PROPN
ejpam-3382	291	22	of	of	ADP
ejpam-3382	291	23	pure	pure	ADJ
ejpam-3382	291	24	and	and	CCONJ
ejpam-3382	291	25	applied	applied	ADJ
ejpam-3382	291	26	mathematics	mathematic	NOUN
ejpam-3382	291	27	,	,	PUNCT
ejpam-3382	291	28	for	for	ADP
ejpam-3382	291	29	the	the	DET
ejpam-3382	291	30	careful	careful	ADJ
ejpam-3382	291	31	reading	reading	NOUN
ejpam-3382	291	32	of	of	ADP
ejpam-3382	291	33	the	the	DET
ejpam-3382	291	34	manuscript	manuscript	NOUN
ejpam-3382	291	35	as	as	ADV
ejpam-3382	291	36	well	well	ADV
ejpam-3382	291	37	as	as	ADP
ejpam-3382	291	38	their	their	PRON
ejpam-3382	291	39	valuable	valuable	ADJ
ejpam-3382	291	40	comments	comment	NOUN
ejpam-3382	291	41	and	and	CCONJ
ejpam-3382	291	42	suggestions	suggestion	NOUN
ejpam-3382	291	43	which	which	PRON
ejpam-3382	291	44	helped	help	VERB
ejpam-3382	291	45	to	to	PART
ejpam-3382	291	46	improve	improve	VERB
ejpam-3382	291	47	the	the	DET
ejpam-3382	291	48	present	present	ADJ
ejpam-3382	291	49	paper	paper	NOUN
ejpam-3382	291	50	.	.	PUNCT
ejpam-3382	292	1	references	reference	NOUN
ejpam-3382	292	2	[	[	X
ejpam-3382	292	3	1	1	X
ejpam-3382	292	4	]	]	PUNCT
ejpam-3382	292	5	s.aliyev	s.aliyev	ADV
ejpam-3382	292	6	,	,	PUNCT
ejpam-3382	292	7	a.aliyeva	a.aliyeva	X
ejpam-3382	292	8	,	,	PUNCT
ejpam-3382	292	9	g.abdullayeva	g.abdullayeva	PROPN
ejpam-3382	292	10	;	;	PUNCT
ejpam-3382	292	11	the	the	DET
ejpam-3382	292	12	study	study	NOUN
ejpam-3382	292	13	of	of	ADP
ejpam-3382	292	14	a	a	DET
ejpam-3382	292	15	mixed	mixed	ADJ
ejpam-3382	292	16	problem	problem	NOUN
ejpam-3382	292	17	for	for	ADP
ejpam-3382	292	18	one	one	NUM
ejpam-3382	292	19	class	class	NOUN
ejpam-3382	292	20	of	of	ADP
ejpam-3382	292	21	third	third	ADJ
ejpam-3382	292	22	order	order	NOUN
ejpam-3382	292	23	differential	differential	NOUN
ejpam-3382	292	24	equations	equation	NOUN
ejpam-3382	292	25	,	,	PUNCT
ejpam-3382	292	26	advances	advance	NOUN
ejpam-3382	292	27	in	in	ADP
ejpam-3382	292	28	difference	difference	NOUN
ejpam-3382	292	29	equations	equation	NOUN
ejpam-3382	292	30	208	208	NUM
ejpam-3382	292	31	(	(	PUNCT
ejpam-3382	292	32	2018	2018	NUM
ejpam-3382	292	33	)	)	PUNCT
ejpam-3382	292	34	,	,	PUNCT
ejpam-3382	292	35	1	1	NUM
ejpam-3382	292	36	-	-	SYM
ejpam-3382	292	37	10	10	NUM
ejpam-3382	292	38	.	.	PUNCT
ejpam-3382	293	1	[	[	X
ejpam-3382	293	2	2	2	NUM
ejpam-3382	293	3	]	]	PUNCT
ejpam-3382	293	4	s.aliyev	s.aliyev	ADV
ejpam-3382	293	5	,	,	PUNCT
ejpam-3382	293	6	a.aliyeva	a.aliyeva	X
ejpam-3382	293	7	;	;	PUNCT
ejpam-3382	293	8	on	on	ADP
ejpam-3382	293	9	the	the	DET
ejpam-3382	293	10	existence	existence	NOUN
ejpam-3382	293	11	for	for	ADP
ejpam-3382	293	12	almost	almost	ADV
ejpam-3382	293	13	everywhere	everywhere	ADV
ejpam-3382	293	14	solution	solution	NOUN
ejpam-3382	293	15	of	of	ADP
ejpam-3382	293	16	multidimensional	multidimensional	ADJ
ejpam-3382	293	17	mixed	mixed	ADJ
ejpam-3382	293	18	problem	problem	NOUN
ejpam-3382	293	19	for	for	ADP
ejpam-3382	293	20	one	one	NUM
ejpam-3382	293	21	class	class	NOUN
ejpam-3382	293	22	third	third	ADJ
ejpam-3382	293	23	order	order	NOUN
ejpam-3382	293	24	differential	differential	ADJ
ejpam-3382	293	25	equations	equation	NOUN
ejpam-3382	293	26	with	with	ADP
ejpam-3382	293	27	nonlinear	nonlinear	ADJ
ejpam-3382	293	28	operator	operator	NOUN
ejpam-3382	293	29	in	in	ADP
ejpam-3382	293	30	the	the	DET
ejpam-3382	293	31	right	right	ADJ
ejpam-3382	293	32	-	-	PUNCT
ejpam-3382	293	33	hand	hand	NOUN
ejpam-3382	293	34	side	side	NOUN
ejpam-3382	293	35	,	,	PUNCT
ejpam-3382	293	36	international	international	ADJ
ejpam-3382	293	37	journal	journal	NOUN
ejpam-3382	293	38	of	of	ADP
ejpam-3382	293	39	pure	pure	ADJ
ejpam-3382	293	40	and	and	CCONJ
ejpam-3382	293	41	applied	apply	VERB
ejpam-3382	293	42	matematics	matematic	NOUN
ejpam-3382	293	43	115	115	NUM
ejpam-3382	293	44	(	(	PUNCT
ejpam-3382	293	45	3	3	NUM
ejpam-3382	293	46	)	)	PUNCT
ejpam-3382	293	47	,	,	PUNCT
ejpam-3382	293	48	(	(	PUNCT
ejpam-3382	293	49	2017	2017	NUM
ejpam-3382	293	50	)	)	PUNCT
ejpam-3382	293	51	,	,	PUNCT
ejpam-3382	293	52	549	549	NUM
ejpam-3382	293	53	-	-	SYM
ejpam-3382	293	54	560	560	NUM
ejpam-3382	293	55	.	.	PUNCT
ejpam-3382	294	1	[	[	X
ejpam-3382	294	2	3	3	X
ejpam-3382	294	3	]	]	PUNCT
ejpam-3382	294	4	s.aliyev	s.aliyev	ADV
ejpam-3382	294	5	,	,	PUNCT
ejpam-3382	294	6	a.aliyeva	a.aliyeva	NUM
ejpam-3382	294	7	;	;	PUNCT
ejpam-3382	294	8	the	the	DET
ejpam-3382	294	9	study	study	NOUN
ejpam-3382	294	10	of	of	ADP
ejpam-3382	294	11	multidimensional	multidimensional	ADJ
ejpam-3382	294	12	mixed	mixed	ADJ
ejpam-3382	294	13	problem	problem	NOUN
ejpam-3382	294	14	for	for	ADP
ejpam-3382	294	15	one	one	NUM
ejpam-3382	294	16	class	class	NOUN
ejpam-3382	294	17	of	of	ADP
ejpam-3382	294	18	third	third	ADJ
ejpam-3382	294	19	order	order	NOUN
ejpam-3382	294	20	semilinear	semilinear	PROPN
ejpam-3382	294	21	psevdohyperbolic	psevdohyperbolic	ADJ
ejpam-3382	294	22	equations	equation	NOUN
ejpam-3382	294	23	,	,	PUNCT
ejpam-3382	294	24	european	european	PROPN
ejpam-3382	294	25	journal	journal	PROPN
ejpam-3382	294	26	of	of	ADP
ejpam-3382	294	27	pure	pure	ADJ
ejpam-3382	294	28	and	and	CCONJ
ejpam-3382	294	29	applied	applied	ADJ
ejpam-3382	294	30	mathematics	mathematic	NOUN
ejpam-3382	294	31	10	10	NUM
ejpam-3382	294	32	(	(	PUNCT
ejpam-3382	294	33	5	5	NUM
ejpam-3382	294	34	)	)	PUNCT
ejpam-3382	294	35	,	,	PUNCT
ejpam-3382	294	36	(	(	PUNCT
ejpam-3382	294	37	2017	2017	NUM
ejpam-3382	294	38	)	)	PUNCT
ejpam-3382	294	39	,	,	PUNCT
ejpam-3382	294	40	1078	1078	NUM
ejpam-3382	294	41	-	-	SYM
ejpam-3382	294	42	1091	1091	NUM
ejpam-3382	294	43	.	.	PUNCT
ejpam-3382	295	1	[	[	X
ejpam-3382	295	2	4	4	NUM
ejpam-3382	295	3	]	]	SYM
ejpam-3382	295	4	e.beckenbach	e.beckenbach	NOUN
ejpam-3382	295	5	,	,	PUNCT
ejpam-3382	295	6	r.bellman	r.bellman	NOUN
ejpam-3382	295	7	;	;	PUNCT
ejpam-3382	295	8	inequalities	inequality	NOUN
ejpam-3382	295	9	,	,	PUNCT
ejpam-3382	295	10	mir	mir	PROPN
ejpam-3382	295	11	,	,	PUNCT
ejpam-3382	295	12	1965	1965	NUM
ejpam-3382	295	13	,	,	PUNCT
ejpam-3382	295	14	276p	276p	NUM
ejpam-3382	295	15	.	.	PUNCT
ejpam-3382	296	1	(	(	PUNCT
ejpam-3382	296	2	in	in	ADP
ejpam-3382	296	3	russian	russian	NOUN
ejpam-3382	296	4	)	)	PUNCT
ejpam-3382	296	5	.	.	PUNCT
ejpam-3382	297	1	[	[	X
ejpam-3382	297	2	5	5	NUM
ejpam-3382	297	3	]	]	PUNCT
ejpam-3382	297	4	g.filippo	g.filippo	NOUN
ejpam-3382	297	5	,	,	PUNCT
ejpam-3382	297	6	s.marco	s.marco	ADJ
ejpam-3382	297	7	;	;	PUNCT
ejpam-3382	297	8	global	global	ADJ
ejpam-3382	297	9	solutions	solution	NOUN
ejpam-3382	297	10	and	and	CCONJ
ejpam-3382	297	11	finite	finite	ADJ
ejpam-3382	297	12	time	time	NOUN
ejpam-3382	297	13	blow	blow	VERB
ejpam-3382	297	14	up	up	ADP
ejpam-3382	297	15	for	for	ADP
ejpam-3382	297	16	damped	damped	ADJ
ejpam-3382	297	17	semilinear	semilinear	PROPN
ejpam-3382	297	18	wave	wave	PROPN
ejpam-3382	297	19	equations	equation	NOUN
ejpam-3382	297	20	,	,	PUNCT
ejpam-3382	297	21	ann	ann	PROPN
ejpam-3382	297	22	.	.	PROPN
ejpam-3382	297	23	inst	inst	PROPN
ejpam-3382	297	24	.	.	PUNCT
ejpam-3382	298	1	h.	h.	PROPN
ejpam-3382	298	2	poincare	poincare	PROPN
ejpam-3382	298	3	,	,	PUNCT
ejpam-3382	298	4	anal	anal	NOUN
ejpam-3382	298	5	.	.	PUNCT
ejpam-3382	298	6	nonlineaire	nonlineaire	ADJ
ejpam-3382	298	7	23(2	23(2	NUM
ejpam-3382	298	8	)	)	PUNCT
ejpam-3382	298	9	,	,	PUNCT
ejpam-3382	298	10	(	(	PUNCT
ejpam-3382	298	11	2006	2006	NUM
ejpam-3382	298	12	)	)	PUNCT
ejpam-3382	298	13	,	,	PUNCT
ejpam-3382	298	14	185	185	NUM
ejpam-3382	298	15	-	-	SYM
ejpam-3382	298	16	207	207	NUM
ejpam-3382	298	17	.	.	PUNCT
ejpam-3382	299	1	[	[	X
ejpam-3382	299	2	6	6	NUM
ejpam-3382	299	3	]	]	PUNCT
ejpam-3382	299	4	k.khudaverdiyev	k.khudaverdiyev	ADJ
ejpam-3382	299	5	;	;	PUNCT
ejpam-3382	299	6	multidimensional	multidimensional	ADJ
ejpam-3382	299	7	mixed	mixed	ADJ
ejpam-3382	299	8	problem	problem	NOUN
ejpam-3382	299	9	for	for	ADP
ejpam-3382	299	10	nonlinear	nonlinear	ADJ
ejpam-3382	299	11	hyperbolic	hyperbolic	ADJ
ejpam-3382	299	12	equations	equation	NOUN
ejpam-3382	299	13	,	,	PUNCT
ejpam-3382	299	14	az	az	PROPN
ejpam-3382	299	15	.	.	PUNCT
ejpam-3382	300	1	gostekn	gostekn	PROPN
ejpam-3382	300	2	.	.	PUNCT
ejpam-3382	301	1	university	university	NOUN
ejpam-3382	301	2	publ	publ	NOUN
ejpam-3382	301	3	.	.	PUNCT
ejpam-3382	302	1	baku	baku	PROPN
ejpam-3382	302	2	,	,	PUNCT
ejpam-3382	302	3	2011	2011	NUM
ejpam-3382	302	4	,	,	PUNCT
ejpam-3382	302	5	611p	611p	PROPN
ejpam-3382	302	6	.	.	PUNCT
ejpam-3382	303	1	(	(	PUNCT
ejpam-3382	303	2	in	in	ADP
ejpam-3382	303	3	russian	russian	NOUN
ejpam-3382	303	4	)	)	PUNCT
ejpam-3382	303	5	.	.	PUNCT
ejpam-3382	304	1	[	[	X
ejpam-3382	304	2	7	7	X
ejpam-3382	304	3	]	]	X
ejpam-3382	304	4	o.	o.	PROPN
ejpam-3382	304	5	kosike	kosike	PROPN
ejpam-3382	304	6	;	;	PUNCT
ejpam-3382	304	7	existence	existence	NOUN
ejpam-3382	304	8	of	of	ADP
ejpam-3382	304	9	global	global	ADJ
ejpam-3382	304	10	and	and	CCONJ
ejpam-3382	304	11	bounded	bounded	ADJ
ejpam-3382	304	12	solutions	solution	NOUN
ejpam-3382	304	13	for	for	ADP
ejpam-3382	304	14	damped	damped	NOUN
ejpam-3382	304	15	sublinear	sublinear	PROPN
ejpam-3382	304	16	wave	wave	NOUN
ejpam-3382	304	17	equations	equation	NOUN
ejpam-3382	304	18	,	,	PUNCT
ejpam-3382	304	19	j.	j.	PROPN
ejpam-3382	304	20	math	math	PROPN
ejpam-3382	304	21	.	.	PUNCT
ejpam-3382	305	1	univ	univ	PROPN
ejpam-3382	305	2	.	.	PUNCT
ejpam-3382	306	1	tokushima	tokushima	PROPN
ejpam-3382	306	2	,	,	PUNCT
ejpam-3382	306	3	42	42	NUM
ejpam-3382	306	4	,	,	PUNCT
ejpam-3382	306	5	(	(	PUNCT
ejpam-3382	306	6	2008	2008	NUM
ejpam-3382	306	7	)	)	PUNCT
ejpam-3382	306	8	,	,	PUNCT
ejpam-3382	306	9	19	19	NUM
ejpam-3382	306	10	-	-	SYM
ejpam-3382	306	11	26	26	NUM
ejpam-3382	306	12	.	.	PUNCT
ejpam-3382	307	1	[	[	X
ejpam-3382	307	2	8	8	NUM
ejpam-3382	307	3	]	]	X
ejpam-3382	307	4	e.m	e.m	PROPN
ejpam-3382	307	5	.	.	PROPN
ejpam-3382	307	6	mamedov	mamedov	PROPN
ejpam-3382	307	7	;	;	PUNCT
ejpam-3382	307	8	on	on	ADP
ejpam-3382	307	9	stabilization	stabilization	NOUN
ejpam-3382	307	10	of	of	ADP
ejpam-3382	307	11	solution	solution	NOUN
ejpam-3382	307	12	of	of	ADP
ejpam-3382	307	13	the	the	DET
ejpam-3382	307	14	third	third	ADJ
ejpam-3382	307	15	order	order	NOUN
ejpam-3382	307	16	equation	equation	NOUN
ejpam-3382	307	17	with	with	ADP
ejpam-3382	307	18	nonlinear	nonlinear	ADJ
ejpam-3382	307	19	boundary	boundary	ADJ
ejpam-3382	307	20	conditions	condition	NOUN
ejpam-3382	307	21	,	,	PUNCT
ejpam-3382	307	22	proc	proc	NOUN
ejpam-3382	307	23	.	.	PUNCT
ejpam-3382	307	24	inst	inst	PROPN
ejpam-3382	307	25	.	.	PUNCT
ejpam-3382	307	26	math	math	NOUN
ejpam-3382	307	27	.	.	PUNCT
ejpam-3382	308	1	and	and	CCONJ
ejpam-3382	308	2	mech	mech	PROPN
ejpam-3382	308	3	.	.	PUNCT
ejpam-3382	309	1	azerb	azerb	PROPN
ejpam-3382	309	2	.	.	PUNCT
ejpam-3382	310	1	acad	acad	PROPN
ejpam-3382	310	2	.	.	PUNCT
ejpam-3382	311	1	sci	sci	PROPN
ejpam-3382	311	2	.	.	PROPN
ejpam-3382	311	3	,	,	PUNCT
ejpam-3382	311	4	16	16	NUM
ejpam-3382	311	5	,	,	PUNCT
ejpam-3382	311	6	(	(	PUNCT
ejpam-3382	311	7	2002	2002	NUM
ejpam-3382	311	8	)	)	PUNCT
ejpam-3382	311	9	,	,	PUNCT
ejpam-3382	311	10	7580	7580	NUM
ejpam-3382	311	11	.	.	PUNCT
ejpam-3382	312	1	[	[	X
ejpam-3382	312	2	9	9	NUM
ejpam-3382	312	3	]	]	X
ejpam-3382	312	4	mathematical	mathematical	ADJ
ejpam-3382	312	5	reference	reference	NOUN
ejpam-3382	312	6	library	library	NOUN
ejpam-3382	312	7	;	;	PUNCT
ejpam-3382	312	8	functional	functional	ADJ
ejpam-3382	312	9	analysis	analysis	NOUN
ejpam-3382	312	10	,	,	PUNCT
ejpam-3382	312	11	nauka	nauka	PROPN
ejpam-3382	312	12	,	,	PUNCT
ejpam-3382	312	13	1964	1964	NUM
ejpam-3382	312	14	,	,	PUNCT
ejpam-3382	312	15	424p	424p	PROPN
ejpam-3382	312	16	.	.	PUNCT
ejpam-3382	313	1	(	(	PUNCT
ejpam-3382	313	2	in	in	ADP
ejpam-3382	313	3	russian	russian	NOUN
ejpam-3382	313	4	)	)	PUNCT
ejpam-3382	313	5	.	.	PUNCT
ejpam-3382	314	1	references	reference	NOUN
ejpam-3382	314	2	589	589	NUM
ejpam-3382	314	3	[	[	X
ejpam-3382	314	4	10	10	NUM
ejpam-3382	314	5	]	]	X
ejpam-3382	314	6	m.a	m.a	PROPN
ejpam-3382	314	7	.	.	PROPN
ejpam-3382	314	8	salim	salim	PROPN
ejpam-3382	314	9	;	;	PUNCT
ejpam-3382	314	10	on	on	ADP
ejpam-3382	314	11	the	the	DET
ejpam-3382	314	12	decay	decay	NOUN
ejpam-3382	314	13	of	of	ADP
ejpam-3382	314	14	solutions	solution	NOUN
ejpam-3382	314	15	for	for	ADP
ejpam-3382	314	16	a	a	DET
ejpam-3382	314	17	class	class	NOUN
ejpam-3382	314	18	of	of	ADP
ejpam-3382	314	19	quasilinear	quasilinear	PROPN
ejpam-3382	314	20	hyperbolic	hyperbolic	ADJ
ejpam-3382	314	21	equations	equation	NOUN
ejpam-3382	314	22	with	with	ADP
ejpam-3382	314	23	nonlinear	nonlinear	ADJ
ejpam-3382	314	24	damping	damp	VERB
ejpam-3382	314	25	and	and	CCONJ
ejpam-3382	314	26	source	source	NOUN
ejpam-3382	314	27	terms	term	NOUN
ejpam-3382	314	28	,	,	PUNCT
ejpam-3382	314	29	math	math	NOUN
ejpam-3382	314	30	.	.	PUNCT
ejpam-3382	315	1	meth	meth	NOUN
ejpam-3382	315	2	.	.	PUNCT
ejpam-3382	316	1	appl	appl	PROPN
ejpam-3382	316	2	.	.	PUNCT
ejpam-3382	317	1	sci	sci	PROPN
ejpam-3382	317	2	.	.	PROPN
ejpam-3382	317	3	,	,	PUNCT
ejpam-3382	317	4	15	15	NUM
ejpam-3382	317	5	,	,	PUNCT
ejpam-3382	317	6	(	(	PUNCT
ejpam-3382	317	7	2005	2005	NUM
ejpam-3382	317	8	)	)	PUNCT
ejpam-3382	317	9	,	,	PUNCT
ejpam-3382	317	10	18191828	18191828	NUM
ejpam-3382	317	11	.	.	PUNCT
ejpam-3382	318	1	[	[	X
ejpam-3382	318	2	11	11	NUM
ejpam-3382	318	3	]	]	PUNCT
ejpam-3382	318	4	z.	z.	PROPN
ejpam-3382	318	5	yang	yang	PROPN
ejpam-3382	318	6	;	;	PUNCT
ejpam-3382	318	7	cauchy	cauchy	PROPN
ejpam-3382	318	8	problem	problem	NOUN
ejpam-3382	318	9	for	for	ADP
ejpam-3382	318	10	quasilinear	quasilinear	NOUN
ejpam-3382	318	11	wave	wave	NOUN
ejpam-3382	318	12	equations	equation	NOUN
ejpam-3382	318	13	with	with	ADP
ejpam-3382	318	14	nonlinear	nonlinear	ADJ
ejpam-3382	318	15	damping	damp	VERB
ejpam-3382	318	16	and	and	CCONJ
ejpam-3382	318	17	source	source	NOUN
ejpam-3382	318	18	terms	term	NOUN
ejpam-3382	318	19	,	,	PUNCT
ejpam-3382	318	20	j.	j.	PROPN
ejpam-3382	318	21	math	math	PROPN
ejpam-3382	318	22	.	.	PUNCT
ejpam-3382	319	1	anal	anal	PROPN
ejpam-3382	319	2	.	.	PUNCT
ejpam-3382	320	1	and	and	CCONJ
ejpam-3382	320	2	appl	appl	PROPN
ejpam-3382	320	3	.	.	PROPN
ejpam-3382	320	4	,	,	PUNCT
ejpam-3382	320	5	300(1	300(1	NUM
ejpam-3382	320	6	)	)	PUNCT
ejpam-3382	320	7	,	,	PUNCT
ejpam-3382	320	8	(	(	PUNCT
ejpam-3382	320	9	2004	2004	NUM
ejpam-3382	320	10	)	)	PUNCT
ejpam-3382	320	11	,	,	PUNCT
ejpam-3382	320	12	218	218	NUM
ejpam-3382	320	13	-	-	SYM
ejpam-3382	320	14	243	243	NUM
ejpam-3382	320	15	.	.	PUNCT
ejpam-3382	321	1	[	[	X
ejpam-3382	321	2	12	12	NUM
ejpam-3382	321	3	]	]	X
ejpam-3382	321	4	y.	y.	PROPN
ejpam-3382	321	5	zhifeng	zhifeng	PROPN
ejpam-3382	321	6	,	,	PUNCT
ejpam-3382	321	7	q.	q.	PROPN
ejpam-3382	321	8	dehua	dehua	PROPN
ejpam-3382	321	9	;	;	PUNCT
ejpam-3382	321	10	energy	energy	NOUN
ejpam-3382	321	11	decaying	decay	VERB
ejpam-3382	321	12	and	and	CCONJ
ejpam-3382	321	13	blow	blow	VERB
ejpam-3382	321	14	up	up	ADP
ejpam-3382	321	15	of	of	ADP
ejpam-3382	321	16	solution	solution	NOUN
ejpam-3382	321	17	for	for	ADP
ejpam-3382	321	18	a	a	DET
ejpam-3382	321	19	kirchhoff	kirchhoff	NOUN
ejpam-3382	321	20	equation	equation	NOUN
ejpam-3382	321	21	with	with	ADP
ejpam-3382	321	22	strong	strong	ADJ
ejpam-3382	321	23	damping	damping	NOUN
ejpam-3382	321	24	,	,	PUNCT
ejpam-3382	321	25	j.	j.	PROPN
ejpam-3382	321	26	math	math	PROPN
ejpam-3382	321	27	.	.	PUNCT
ejpam-3382	322	1	res	re	NOUN
ejpam-3382	322	2	.	.	PROPN
ejpam-3382	322	3	and	and	CCONJ
ejpam-3382	322	4	expo	expo	PROPN
ejpam-3382	322	5	.	.	PROPN
ejpam-3382	322	6	,	,	PUNCT
ejpam-3382	322	7	29(4	29(4	NOUN
ejpam-3382	322	8	)	)	PUNCT
ejpam-3382	322	9	,	,	PUNCT
ejpam-3382	322	10	(	(	PUNCT
ejpam-3382	322	11	2009	2009	NUM
ejpam-3382	322	12	)	)	PUNCT
ejpam-3382	322	13	,	,	PUNCT
ejpam-3382	322	14	707	707	NUM
ejpam-3382	322	15	-	-	SYM
ejpam-3382	322	16	715	715	NUM
ejpam-3382	322	17	.	.	PUNCT