id	sid	tid	token	lemma	pos
ejpam-3350	1	1	optimal	optimal	ADJ
ejpam-3350	1	2	control	control	NOUN
ejpam-3350	1	3	,	,	PUNCT
ejpam-3350	1	4	flexural	flexural	ADJ
ejpam-3350	1	5	-	-	PUNCT
ejpam-3350	1	6	torsional	torsional	NOUN
ejpam-3350	1	7	vibrations	vibration	NOUN
ejpam-3350	1	8	,	,	PUNCT
ejpam-3350	1	9	necessary	necessary	ADJ
ejpam-3350	1	10	and	and	CCONJ
ejpam-3350	1	11	sufficient	sufficient	ADJ
ejpam-3350	1	12	condition	condition	NOUN
ejpam-3350	1	13	,	,	PUNCT
ejpam-3350	1	14	49j20	49j20	NUM
ejpam-3350	1	15	european	european	PROPN
ejpam-3350	1	16	journal	journal	PROPN
ejpam-3350	1	17	of	of	ADP
ejpam-3350	1	18	pure	pure	ADJ
ejpam-3350	1	19	and	and	CCONJ
ejpam-3350	1	20	applied	apply	VERB
ejpam-3350	1	21	mathematics	mathematic	NOUN
ejpam-3350	1	22	vol	vol	NOUN
ejpam-3350	1	23	.	.	PROPN
ejpam-3350	1	24	12	12	NUM
ejpam-3350	1	25	,	,	PUNCT
ejpam-3350	1	26	no	no	INTJ
ejpam-3350	1	27	.	.	NOUN
ejpam-3350	1	28	1	1	NUM
ejpam-3350	1	29	,	,	PUNCT
ejpam-3350	1	30	2019	2019	NUM
ejpam-3350	1	31	,	,	PUNCT
ejpam-3350	1	32	25	25	NUM
ejpam-3350	1	33	-	-	SYM
ejpam-3350	1	34	38	38	NUM
ejpam-3350	1	35	issn	issn	PROPN
ejpam-3350	1	36	1307	1307	NUM
ejpam-3350	1	37	-	-	SYM
ejpam-3350	1	38	5543	5543	NUM
ejpam-3350	1	39	–	–	PUNCT
ejpam-3350	1	40	www.ejpam.com	www.ejpam.com	X
ejpam-3350	1	41	published	publish	VERB
ejpam-3350	1	42	by	by	ADP
ejpam-3350	1	43	new	new	PROPN
ejpam-3350	1	44	york	york	PROPN
ejpam-3350	1	45	business	business	PROPN
ejpam-3350	1	46	global	global	ADJ
ejpam-3350	1	47	on	on	ADP
ejpam-3350	1	48	determining	determine	VERB
ejpam-3350	1	49	initial	initial	ADJ
ejpam-3350	1	50	conditions	condition	NOUN
ejpam-3350	1	51	of	of	ADP
ejpam-3350	1	52	equations	equation	NOUN
ejpam-3350	1	53	flexural	flexural	ADJ
ejpam-3350	1	54	-	-	PUNCT
ejpam-3350	1	55	torsinal	torsinal	ADJ
ejpam-3350	1	56	vibrations	vibration	NOUN
ejpam-3350	1	57	of	of	ADP
ejpam-3350	1	58	a	a	DET
ejpam-3350	1	59	bar	bar	NOUN
ejpam-3350	1	60	aysel	aysel	NOUN
ejpam-3350	1	61	t.	t.	PROPN
ejpam-3350	1	62	ramazanova	ramazanova	PROPN
ejpam-3350	1	63	university	university	NOUN
ejpam-3350	1	64	duisburg	duisburg	PROPN
ejpam-3350	1	65	-	-	PUNCT
ejpam-3350	1	66	essen	essen	PROPN
ejpam-3350	1	67	,	,	PUNCT
ejpam-3350	1	68	germany	germany	PROPN
ejpam-3350	1	69	abstract	abstract	NOUN
ejpam-3350	1	70	.	.	PUNCT
ejpam-3350	2	1	the	the	DET
ejpam-3350	2	2	problem	problem	NOUN
ejpam-3350	2	3	of	of	ADP
ejpam-3350	2	4	finding	find	VERB
ejpam-3350	2	5	the	the	DET
ejpam-3350	2	6	initial	initial	ADJ
ejpam-3350	2	7	conditions	condition	NOUN
ejpam-3350	2	8	in	in	ADP
ejpam-3350	2	9	the	the	DET
ejpam-3350	2	10	boundary	boundary	ADJ
ejpam-3350	2	11	-	-	PUNCT
ejpam-3350	2	12	value	value	NOUN
ejpam-3350	2	13	problem	problem	NOUN
ejpam-3350	2	14	for	for	ADP
ejpam-3350	2	15	the	the	DET
ejpam-3350	2	16	system	system	NOUN
ejpam-3350	2	17	of	of	ADP
ejpam-3350	2	18	flexural	flexural	ADJ
ejpam-3350	2	19	-	-	PUNCT
ejpam-3350	2	20	torsional	torsional	ADJ
ejpam-3350	2	21	vibrations	vibration	NOUN
ejpam-3350	2	22	of	of	ADP
ejpam-3350	2	23	a	a	DET
ejpam-3350	2	24	bar	bar	NOUN
ejpam-3350	2	25	with	with	ADP
ejpam-3350	2	26	additional	additional	ADJ
ejpam-3350	2	27	conditions	condition	NOUN
ejpam-3350	2	28	on	on	ADP
ejpam-3350	2	29	the	the	DET
ejpam-3350	2	30	straight	straight	ADJ
ejpam-3350	2	31	line	line	NOUN
ejpam-3350	2	32	is	be	AUX
ejpam-3350	2	33	reduced	reduce	VERB
ejpam-3350	2	34	to	to	ADP
ejpam-3350	2	35	an	an	DET
ejpam-3350	2	36	optimal	optimal	ADJ
ejpam-3350	2	37	control	control	NOUN
ejpam-3350	2	38	problem	problem	NOUN
ejpam-3350	2	39	and	and	CCONJ
ejpam-3350	2	40	studied	study	VERB
ejpam-3350	2	41	by	by	ADP
ejpam-3350	2	42	the	the	DET
ejpam-3350	2	43	methods	method	NOUN
ejpam-3350	2	44	of	of	ADP
ejpam-3350	2	45	optimal	optimal	ADJ
ejpam-3350	2	46	control	control	NOUN
ejpam-3350	2	47	theory	theory	NOUN
ejpam-3350	2	48	.	.	PUNCT
ejpam-3350	3	1	the	the	DET
ejpam-3350	3	2	gradient	gradient	NOUN
ejpam-3350	3	3	of	of	ADP
ejpam-3350	3	4	the	the	DET
ejpam-3350	3	5	functional	functional	ADJ
ejpam-3350	3	6	is	be	AUX
ejpam-3350	3	7	calculated	calculate	VERB
ejpam-3350	3	8	and	and	CCONJ
ejpam-3350	3	9	using	use	VERB
ejpam-3350	3	10	the	the	DET
ejpam-3350	3	11	gradient	gradient	ADJ
ejpam-3350	3	12	expression	expression	NOUN
ejpam-3350	3	13	a	a	DET
ejpam-3350	3	14	necessary	necessary	ADJ
ejpam-3350	3	15	and	and	CCONJ
ejpam-3350	3	16	sufficient	sufficient	ADJ
ejpam-3350	3	17	optimality	optimality	NOUN
ejpam-3350	3	18	condition	condition	NOUN
ejpam-3350	3	19	are	be	AUX
ejpam-3350	3	20	proved	prove	VERB
ejpam-3350	3	21	.	.	PUNCT
ejpam-3350	4	1	2010	2010	NUM
ejpam-3350	4	2	mathematics	mathematic	NOUN
ejpam-3350	4	3	subject	subject	NOUN
ejpam-3350	4	4	classifications	classification	NOUN
ejpam-3350	4	5	:	:	PUNCT
ejpam-3350	4	6	49j20	49j20	NUM
ejpam-3350	4	7	key	key	ADJ
ejpam-3350	4	8	words	word	NOUN
ejpam-3350	4	9	and	and	CCONJ
ejpam-3350	4	10	phrases	phrase	NOUN
ejpam-3350	4	11	:	:	PUNCT
ejpam-3350	4	12	optimal	optimal	ADJ
ejpam-3350	4	13	control	control	NOUN
ejpam-3350	4	14	,	,	PUNCT
ejpam-3350	4	15	flexural	flexural	ADJ
ejpam-3350	4	16	-	-	PUNCT
ejpam-3350	4	17	torsional	torsional	NOUN
ejpam-3350	4	18	vibrations	vibration	NOUN
ejpam-3350	4	19	,	,	PUNCT
ejpam-3350	4	20	necessary	necessary	ADJ
ejpam-3350	4	21	and	and	CCONJ
ejpam-3350	4	22	sufficient	sufficient	ADJ
ejpam-3350	4	23	condition	condition	NOUN
ejpam-3350	4	24	1	1	NUM
ejpam-3350	4	25	.	.	PUNCT
ejpam-3350	5	1	introduction	introduction	NOUN
ejpam-3350	5	2	it	it	PRON
ejpam-3350	5	3	is	be	AUX
ejpam-3350	5	4	known	know	VERB
ejpam-3350	5	5	that	that	SCONJ
ejpam-3350	5	6	some	some	DET
ejpam-3350	5	7	problems	problem	NOUN
ejpam-3350	5	8	of	of	ADP
ejpam-3350	5	9	mathematical	mathematical	ADJ
ejpam-3350	5	10	physics	physics	NOUN
ejpam-3350	5	11	,	,	PUNCT
ejpam-3350	5	12	mechanics	mechanic	NOUN
ejpam-3350	5	13	,	,	PUNCT
ejpam-3350	5	14	are	be	AUX
ejpam-3350	5	15	described	describe	VERB
ejpam-3350	5	16	by	by	ADP
ejpam-3350	5	17	fourth	fourth	ADJ
ejpam-3350	5	18	order	order	NOUN
ejpam-3350	5	19	partial	partial	ADJ
ejpam-3350	5	20	equations	equation	NOUN
ejpam-3350	5	21	.	.	PUNCT
ejpam-3350	6	1	a	a	DET
ejpam-3350	6	2	tuning	tuning	NOUN
ejpam-3350	6	3	fork	fork	NOUN
ejpam-3350	6	4	,	,	PUNCT
ejpam-3350	6	5	a	a	DET
ejpam-3350	6	6	bar	bar	NOUN
ejpam-3350	6	7	vibrations	vibration	NOUN
ejpam-3350	6	8	equation	equation	NOUN
ejpam-3350	6	9	,	,	PUNCT
ejpam-3350	6	10	a	a	DET
ejpam-3350	6	11	rotary	rotary	ADJ
ejpam-3350	6	12	shaft	shaft	NOUN
ejpam-3350	6	13	,	,	PUNCT
ejpam-3350	6	14	oscillating	oscillate	VERB
ejpam-3350	6	15	motions	motion	NOUN
ejpam-3350	6	16	equation	equation	NOUN
ejpam-3350	6	17	and	and	CCONJ
ejpam-3350	6	18	plate	plate	NOUN
ejpam-3350	6	19	vibrations	vibration	NOUN
ejpam-3350	6	20	equation	equation	NOUN
ejpam-3350	6	21	are	be	AUX
ejpam-3350	6	22	among	among	ADP
ejpam-3350	6	23	these	these	DET
ejpam-3350	6	24	equations	equation	NOUN
ejpam-3350	6	25	give	give	VERB
ejpam-3350	6	26	some	some	DET
ejpam-3350	6	27	references	reference	NOUN
ejpam-3350	6	28	.	.	PUNCT
ejpam-3350	7	1	it	it	PRON
ejpam-3350	7	2	is	be	AUX
ejpam-3350	7	3	imperative	imperative	ADJ
ejpam-3350	7	4	optimal	optimal	ADJ
ejpam-3350	7	5	control	control	NOUN
ejpam-3350	7	6	problems	problem	NOUN
ejpam-3350	7	7	in	in	ADP
ejpam-3350	7	8	processes	process	NOUN
ejpam-3350	7	9	described	describe	VERB
ejpam-3350	7	10	by	by	ADP
ejpam-3350	7	11	these	these	DET
ejpam-3350	7	12	equations	equation	NOUN
ejpam-3350	7	13	.	.	PUNCT
ejpam-3350	8	1	the	the	DET
ejpam-3350	8	2	control	control	NOUN
ejpam-3350	8	3	connected	connect	VERB
ejpam-3350	8	4	with	with	ADP
ejpam-3350	8	5	flexural	flexural	ADJ
ejpam-3350	8	6	-	-	PUNCT
ejpam-3350	8	7	torsional	torsional	ADJ
ejpam-3350	8	8	vibrations	vibration	NOUN
ejpam-3350	8	9	of	of	ADP
ejpam-3350	8	10	a	a	DET
ejpam-3350	8	11	bar	bar	NOUN
ejpam-3350	8	12	has	have	VERB
ejpam-3350	8	13	a	a	DET
ejpam-3350	8	14	great	great	ADJ
ejpam-3350	8	15	signifficance	signifficance	NOUN
ejpam-3350	8	16	in	in	ADP
ejpam-3350	8	17	dynamics	dynamic	NOUN
ejpam-3350	8	18	of	of	ADP
ejpam-3350	8	19	aircraft	aircraft	NOUN
ejpam-3350	8	20	constructions	construction	NOUN
ejpam-3350	8	21	.	.	PUNCT
ejpam-3350	9	1	therefore	therefore	ADV
ejpam-3350	9	2	,	,	PUNCT
ejpam-3350	9	3	the	the	DET
ejpam-3350	9	4	study	study	NOUN
ejpam-3350	9	5	of	of	ADP
ejpam-3350	9	6	bar	bar	NOUN
ejpam-3350	9	7	vibrations	vibration	NOUN
ejpam-3350	9	8	problems	problem	NOUN
ejpam-3350	9	9	controls	control	NOUN
ejpam-3350	9	10	described	describe	VERB
ejpam-3350	9	11	by	by	ADP
ejpam-3350	9	12	differential	differential	ADJ
ejpam-3350	9	13	equations	equation	NOUN
ejpam-3350	9	14	is	be	AUX
ejpam-3350	9	15	necessary	necessary	ADJ
ejpam-3350	9	16	both	both	CCONJ
ejpam-3350	9	17	from	from	ADP
ejpam-3350	9	18	practical	practical	ADJ
ejpam-3350	9	19	and	and	CCONJ
ejpam-3350	9	20	theoretical	theoretical	ADJ
ejpam-3350	9	21	point	point	NOUN
ejpam-3350	9	22	of	of	ADP
ejpam-3350	9	23	view	view	NOUN
ejpam-3350	9	24	.	.	PUNCT
ejpam-3350	10	1	2	2	X
ejpam-3350	10	2	.	.	X
ejpam-3350	10	3	problem	problem	NOUN
ejpam-3350	10	4	statement	statement	NOUN
ejpam-3350	10	5	we	we	PRON
ejpam-3350	10	6	consider	consider	VERB
ejpam-3350	10	7	a	a	DET
ejpam-3350	10	8	boundary	boundary	ADJ
ejpam-3350	10	9	value	value	NOUN
ejpam-3350	10	10	problem	problem	NOUN
ejpam-3350	10	11	for	for	ADP
ejpam-3350	10	12	equations	equation	NOUN
ejpam-3350	10	13	of	of	ADP
ejpam-3350	10	14	flexural	flexural	ADJ
ejpam-3350	10	15	-	-	PUNCT
ejpam-3350	10	16	torsional	torsional	ADJ
ejpam-3350	10	17	vibrations	vibration	NOUN
ejpam-3350	10	18	of	of	ADP
ejpam-3350	10	19	a	a	DET
ejpam-3350	10	20	bar	bar	NOUN
ejpam-3350	10	21	,	,	PUNCT
ejpam-3350	10	22	described	describe	VERB
ejpam-3350	10	23	by	by	ADP
ejpam-3350	10	24	the	the	DET
ejpam-3350	10	25	system	system	NOUN
ejpam-3350	10	26	of	of	ADP
ejpam-3350	10	27	two	two	NUM
ejpam-3350	10	28	differential	differential	ADJ
ejpam-3350	10	29	equations	equation	NOUN
ejpam-3350	10	30	in	in	ADP
ejpam-3350	10	31	the	the	DET
ejpam-3350	10	32	domain	domain	NOUN
ejpam-3350	10	33	q	q	NOUN
ejpam-3350	11	1	=	=	PUNCT
ejpam-3350	11	2	{	{	PUNCT
ejpam-3350	11	3	0	0	X
ejpam-3350	11	4	<	<	X
ejpam-3350	11	5	x	x	X
ejpam-3350	11	6	<	<	X
ejpam-3350	11	7	l	l	NOUN
ejpam-3350	11	8	,	,	PUNCT
ejpam-3350	11	9	0	0	PUNCT
ejpam-3350	11	10	<	<	X
ejpam-3350	11	11	t	t	X
ejpam-3350	11	12	<	<	X
ejpam-3350	11	13	t	t	PROPN
ejpam-3350	11	14	}	}	PUNCT
ejpam-3350	11	15	with	with	ADP
ejpam-3350	11	16	boundary	boundary	ADJ
ejpam-3350	11	17	and	and	CCONJ
ejpam-3350	11	18	initial	initial	ADJ
ejpam-3350	11	19	conditions	condition	NOUN
ejpam-3350	11	20	∂2	∂2	PROPN
ejpam-3350	11	21	∂x2	∂x2	NOUN
ejpam-3350	11	22	(	(	PUNCT
ejpam-3350	11	23	e	e	X
ejpam-3350	11	24	(	(	PUNCT
ejpam-3350	11	25	x	x	X
ejpam-3350	11	26	)	)	PUNCT
ejpam-3350	11	27	i	i	PRON
ejpam-3350	11	28	(	(	PUNCT
ejpam-3350	11	29	x	x	X
ejpam-3350	11	30	)	)	PUNCT
ejpam-3350	11	31	∂2y	∂2y	VERB
ejpam-3350	11	32	∂x2	∂x2	NOUN
ejpam-3350	11	33	)	)	PUNCT
ejpam-3350	12	1	+	+	CCONJ
ejpam-3350	12	2	ρ	ρ	PROPN
ejpam-3350	12	3	(	(	PUNCT
ejpam-3350	12	4	x)a	x)a	X
ejpam-3350	12	5	(	(	PUNCT
ejpam-3350	12	6	x	x	X
ejpam-3350	12	7	)	)	PUNCT
ejpam-3350	12	8	∂2y	∂2y	PROPN
ejpam-3350	12	9	∂t2	∂t2	NOUN
ejpam-3350	12	10	−	−	PROPN
ejpam-3350	12	11	ρ	ρ	NOUN
ejpam-3350	12	12	(	(	PUNCT
ejpam-3350	12	13	x)a	x)a	X
ejpam-3350	12	14	(	(	PUNCT
ejpam-3350	12	15	x	x	X
ejpam-3350	12	16	)	)	PUNCT
ejpam-3350	12	17	e	e	NOUN
ejpam-3350	12	18	(	(	PUNCT
ejpam-3350	12	19	x	x	NOUN
ejpam-3350	12	20	)	)	PUNCT
ejpam-3350	12	21	∂2θ	∂2θ	NOUN
ejpam-3350	12	22	∂t2	∂t2	NOUN
ejpam-3350	12	23	=	=	SYM
ejpam-3350	12	24	f1	f1	NOUN
ejpam-3350	12	25	(	(	PUNCT
ejpam-3350	12	26	x	x	PROPN
ejpam-3350	12	27	,	,	PUNCT
ejpam-3350	12	28	t	t	PROPN
ejpam-3350	12	29	)	)	PUNCT
ejpam-3350	12	30	,	,	PUNCT
ejpam-3350	12	31	(	(	PUNCT
ejpam-3350	12	32	1	1	X
ejpam-3350	12	33	)	)	PUNCT
ejpam-3350	12	34	doi	doi	NOUN
ejpam-3350	12	35	:	:	PUNCT
ejpam-3350	12	36	https://doi.org/10.29020/nybg.ejpam.v12i1.3350	https://doi.org/10.29020/nybg.ejpam.v12i1.3350	PROPN
ejpam-3350	12	37	email	email	NOUN
ejpam-3350	12	38	addresses	address	NOUN
ejpam-3350	12	39	:	:	PUNCT
ejpam-3350	12	40	ramazanova-aysel@mail.ru	ramazanova-aysel@mail.ru	PROPN
ejpam-3350	12	41	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3350	13	1	25	25	NUM
ejpam-3350	13	2	c	c	X
ejpam-3350	13	3	©	©	PROPN
ejpam-3350	13	4	2019	2019	NUM
ejpam-3350	13	5	ejpam	ejpam	NOUN
ejpam-3350	13	6	all	all	DET
ejpam-3350	13	7	rights	right	NOUN
ejpam-3350	13	8	reserved	reserve	VERB
ejpam-3350	13	9	.	.	PUNCT
ejpam-3350	14	1	a.t	a.t	PROPN
ejpam-3350	14	2	.	.	PROPN
ejpam-3350	14	3	ramazanova	ramazanova	PROPN
ejpam-3350	14	4	/	/	SYM
ejpam-3350	14	5	eur	eur	PROPN
ejpam-3350	14	6	.	.	PUNCT
ejpam-3350	15	1	j.	j.	PROPN
ejpam-3350	15	2	pure	pure	PROPN
ejpam-3350	15	3	appl	appl	PROPN
ejpam-3350	15	4	.	.	PROPN
ejpam-3350	15	5	math	math	PROPN
ejpam-3350	15	6	,	,	PUNCT
ejpam-3350	15	7	12	12	NUM
ejpam-3350	15	8	(	(	PUNCT
ejpam-3350	15	9	1	1	NUM
ejpam-3350	15	10	)	)	PUNCT
ejpam-3350	15	11	(	(	PUNCT
ejpam-3350	15	12	2019	2019	NUM
ejpam-3350	15	13	)	)	PUNCT
ejpam-3350	15	14	,	,	PUNCT
ejpam-3350	15	15	25	25	NUM
ejpam-3350	15	16	-	-	SYM
ejpam-3350	15	17	38	38	NUM
ejpam-3350	15	18	26	26	NUM
ejpam-3350	15	19	∂2	∂2	NOUN
ejpam-3350	15	20	∂x2	∂x2	NOUN
ejpam-3350	15	21	(	(	PUNCT
ejpam-3350	15	22	e	e	X
ejpam-3350	15	23	(	(	PUNCT
ejpam-3350	15	24	x)cw	x)cw	PROPN
ejpam-3350	15	25	(	(	PUNCT
ejpam-3350	15	26	x	x	X
ejpam-3350	15	27	)	)	PUNCT
ejpam-3350	15	28	∂2θ	∂2θ	PROPN
ejpam-3350	15	29	∂x2	∂x2	NOUN
ejpam-3350	15	30	)	)	PUNCT
ejpam-3350	15	31	−g	−g	NOUN
ejpam-3350	15	32	(	(	PUNCT
ejpam-3350	15	33	x)c	x)c	X
ejpam-3350	15	34	(	(	PUNCT
ejpam-3350	15	35	x	x	X
ejpam-3350	15	36	)	)	PUNCT
ejpam-3350	15	37	∂2θ	∂2θ	PROPN
ejpam-3350	15	38	∂x2	∂x2	NOUN
ejpam-3350	15	39	−	−	PROPN
ejpam-3350	15	40	ρ	ρ	PROPN
ejpam-3350	15	41	(	(	PUNCT
ejpam-3350	15	42	x)a	x)a	X
ejpam-3350	15	43	(	(	PUNCT
ejpam-3350	15	44	x	x	X
ejpam-3350	15	45	)	)	PUNCT
ejpam-3350	15	46	e	e	NOUN
ejpam-3350	15	47	(	(	PUNCT
ejpam-3350	15	48	x	x	X
ejpam-3350	15	49	)	)	PUNCT
ejpam-3350	15	50	∂2y	∂2y	NOUN
ejpam-3350	15	51	∂t2	∂t2	NOUN
ejpam-3350	15	52	+	+	X
ejpam-3350	16	1	+	+	ADJ
ejpam-3350	16	2	ρ	ρ	PROPN
ejpam-3350	16	3	(	(	PUNCT
ejpam-3350	16	4	x	x	NOUN
ejpam-3350	16	5	)	)	PUNCT
ejpam-3350	16	6	(	(	PUNCT
ejpam-3350	16	7	i	i	PRON
ejpam-3350	16	8	(	(	PUNCT
ejpam-3350	16	9	x	x	X
ejpam-3350	16	10	)	)	PUNCT
ejpam-3350	16	11	+	+	ADP
ejpam-3350	16	12	a	a	DET
ejpam-3350	16	13	(	(	PUNCT
ejpam-3350	16	14	x	x	NOUN
ejpam-3350	16	15	)	)	PUNCT
ejpam-3350	16	16	e2	e2	PROPN
ejpam-3350	16	17	(	(	PUNCT
ejpam-3350	16	18	x	x	NOUN
ejpam-3350	16	19	)	)	PUNCT
ejpam-3350	16	20	)	)	PUNCT
ejpam-3350	16	21	∂2θ	∂2θ	NOUN
ejpam-3350	16	22	∂t2	∂t2	NOUN
ejpam-3350	16	23	=	=	SYM
ejpam-3350	16	24	f2	f2	INTJ
ejpam-3350	16	25	(	(	PUNCT
ejpam-3350	16	26	x	x	X
ejpam-3350	16	27	,	,	PUNCT
ejpam-3350	16	28	t	t	PROPN
ejpam-3350	16	29	)	)	PUNCT
ejpam-3350	16	30	,	,	PUNCT
ejpam-3350	16	31	(	(	PUNCT
ejpam-3350	16	32	x	x	X
ejpam-3350	16	33	,	,	PUNCT
ejpam-3350	16	34	t	t	PROPN
ejpam-3350	16	35	)	)	PUNCT
ejpam-3350	16	36	∈	∈	PROPN
ejpam-3350	17	1	q	q	NOUN
ejpam-3350	17	2	,	,	PUNCT
ejpam-3350	17	3	(	(	PUNCT
ejpam-3350	17	4	2	2	NUM
ejpam-3350	17	5	)	)	PUNCT
ejpam-3350	17	6	yx=0	yx=0	PROPN
ejpam-3350	17	7	=	=	SYM
ejpam-3350	17	8	y|x	y|x	NOUN
ejpam-3350	17	9	=	=	NOUN
ejpam-3350	17	10	l	l	NOUN
ejpam-3350	17	11	=	=	SYM
ejpam-3350	17	12	0	0	NUM
ejpam-3350	17	13	,	,	PUNCT
ejpam-3350	17	14	∂y	∂y	PROPN
ejpam-3350	17	15	∂x	∂x	PROPN
ejpam-3350	17	16	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	17	17	x=0	x=0	PUNCT
ejpam-3350	17	18	=	=	SYM
ejpam-3350	17	19	∂y	∂y	PROPN
ejpam-3350	17	20	∂x	∂x	PROPN
ejpam-3350	17	21	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	17	22	x	x	SYM
ejpam-3350	17	23	=	=	NOUN
ejpam-3350	17	24	l	l	NOUN
ejpam-3350	17	25	=	=	SYM
ejpam-3350	17	26	0	0	NUM
ejpam-3350	17	27	,	,	PUNCT
ejpam-3350	17	28	0≤t≤t	0≤t≤t	NUM
ejpam-3350	17	29	,	,	PUNCT
ejpam-3350	17	30	(	(	PUNCT
ejpam-3350	17	31	3	3	NUM
ejpam-3350	17	32	)	)	PUNCT
ejpam-3350	17	33	θ|x=0	θ|x=0	PROPN
ejpam-3350	17	34	=	=	SYM
ejpam-3350	17	35	θ|x	θ|x	NOUN
ejpam-3350	17	36	=	=	NOUN
ejpam-3350	17	37	l	l	NOUN
ejpam-3350	17	38	=	=	SYM
ejpam-3350	17	39	0	0	NUM
ejpam-3350	17	40	,	,	PUNCT
ejpam-3350	17	41	∂θ	∂θ	PROPN
ejpam-3350	17	42	∂x	∂x	PROPN
ejpam-3350	17	43	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	17	44	x=0	x=0	PUNCT
ejpam-3350	18	1	=	=	SYM
ejpam-3350	18	2	∂θ	∂θ	PROPN
ejpam-3350	18	3	∂x	∂x	PROPN
ejpam-3350	18	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	18	5	x	x	SYM
ejpam-3350	18	6	=	=	NOUN
ejpam-3350	18	7	l	l	NOUN
ejpam-3350	18	8	=	=	SYM
ejpam-3350	18	9	0	0	NUM
ejpam-3350	18	10	,	,	PUNCT
ejpam-3350	18	11	0≤t≤t	0≤t≤t	NUM
ejpam-3350	18	12	,	,	PUNCT
ejpam-3350	18	13	(	(	PUNCT
ejpam-3350	18	14	4	4	NUM
ejpam-3350	18	15	)	)	PUNCT
ejpam-3350	18	16	y|t=0	y|t=0	PROPN
ejpam-3350	18	17	=	=	SYM
ejpam-3350	18	18	0	0	PROPN
ejpam-3350	18	19	,	,	PUNCT
ejpam-3350	18	20	∂y	∂y	PROPN
ejpam-3350	18	21	∂t	∂t	PROPN
ejpam-3350	18	22	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	18	23	t=0	t=0	VERB
ejpam-3350	18	24	=	=	SYM
ejpam-3350	18	25	v1	v1	NOUN
ejpam-3350	18	26	(	(	PUNCT
ejpam-3350	18	27	x	x	NOUN
ejpam-3350	18	28	)	)	PUNCT
ejpam-3350	18	29	,	,	PUNCT
ejpam-3350	18	30	0≤x≤l	0≤x≤l	X
ejpam-3350	18	31	,	,	PUNCT
ejpam-3350	18	32	(	(	PUNCT
ejpam-3350	18	33	5	5	NUM
ejpam-3350	18	34	)	)	PUNCT
ejpam-3350	18	35	θ|t=0	θ|t=0	X
ejpam-3350	18	36	=	=	NOUN
ejpam-3350	18	37	0	0	PROPN
ejpam-3350	18	38	,	,	PUNCT
ejpam-3350	19	1	∂θ	∂θ	PROPN
ejpam-3350	20	1	∂t	∂t	PROPN
ejpam-3350	20	2	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	20	3	t=0	t=0	VERB
ejpam-3350	20	4	=	=	PROPN
ejpam-3350	20	5	w1	w1	NOUN
ejpam-3350	20	6	(	(	PUNCT
ejpam-3350	20	7	x	x	NOUN
ejpam-3350	20	8	)	)	PUNCT
ejpam-3350	20	9	,	,	PUNCT
ejpam-3350	20	10	0≤x≤l	0≤x≤l	X
ejpam-3350	20	11	,	,	PUNCT
ejpam-3350	20	12	(	(	PUNCT
ejpam-3350	20	13	6	6	NUM
ejpam-3350	20	14	)	)	PUNCT
ejpam-3350	20	15	where	where	SCONJ
ejpam-3350	20	16	l	l	NOUN
ejpam-3350	20	17	>	>	X
ejpam-3350	20	18	0	0	PROPN
ejpam-3350	20	19	,	,	PUNCT
ejpam-3350	20	20	t	t	PROPN
ejpam-3350	20	21	>	>	X
ejpam-3350	20	22	0	0	NUM
ejpam-3350	20	23	are	be	AUX
ejpam-3350	20	24	given	give	VERB
ejpam-3350	20	25	numbers	number	NOUN
ejpam-3350	20	26	,	,	PUNCT
ejpam-3350	20	27	y(x	y(x	PROPN
ejpam-3350	20	28	,	,	PUNCT
ejpam-3350	20	29	t	t	PROPN
ejpam-3350	20	30	)	)	PUNCT
ejpam-3350	20	31	is	be	AUX
ejpam-3350	20	32	the	the	DET
ejpam-3350	20	33	lateral	lateral	ADJ
ejpam-3350	20	34	displacement	displacement	NOUN
ejpam-3350	20	35	of	of	ADP
ejpam-3350	20	36	the	the	DET
ejpam-3350	20	37	bar	bar	NOUN
ejpam-3350	20	38	,	,	PUNCT
ejpam-3350	20	39	θ(x	θ(x	PROPN
ejpam-3350	20	40	,	,	PUNCT
ejpam-3350	20	41	t	t	PROPN
ejpam-3350	20	42	)	)	PUNCT
ejpam-3350	20	43	is	be	AUX
ejpam-3350	20	44	the	the	DET
ejpam-3350	20	45	turning	turn	VERB
ejpam-3350	20	46	angle	angle	NOUN
ejpam-3350	20	47	of	of	ADP
ejpam-3350	20	48	the	the	DET
ejpam-3350	20	49	bar	bar	NOUN
ejpam-3350	20	50	cross	cross	NOUN
ejpam-3350	20	51	-	-	NOUN
ejpam-3350	20	52	section	section	NOUN
ejpam-3350	20	53	,	,	PUNCT
ejpam-3350	20	54	e(x	e(x	NUM
ejpam-3350	20	55	)	)	PUNCT
ejpam-3350	20	56	is	be	AUX
ejpam-3350	20	57	the	the	DET
ejpam-3350	20	58	young	young	ADJ
ejpam-3350	20	59	modulus	modulus	NOUN
ejpam-3350	20	60	,	,	PUNCT
ejpam-3350	20	61	i(x	i(x	PROPN
ejpam-3350	20	62	)	)	PUNCT
ejpam-3350	20	63	is	be	AUX
ejpam-3350	20	64	a	a	DET
ejpam-3350	20	65	polar	polar	ADJ
ejpam-3350	20	66	inertia	inertia	NOUN
ejpam-3350	20	67	moment	moment	NOUN
ejpam-3350	20	68	of	of	ADP
ejpam-3350	20	69	the	the	DET
ejpam-3350	20	70	cross	cross	NOUN
ejpam-3350	20	71	section	section	NOUN
ejpam-3350	20	72	with	with	ADP
ejpam-3350	20	73	respect	respect	NOUN
ejpam-3350	20	74	to	to	ADP
ejpam-3350	20	75	its	its	PRON
ejpam-3350	20	76	gravity	gravity	NOUN
ejpam-3350	20	77	center	center	NOUN
ejpam-3350	20	78	,	,	PUNCT
ejpam-3350	20	79	ρ(x	ρ(x	PROPN
ejpam-3350	20	80	)	)	PUNCT
ejpam-3350	20	81	is	be	AUX
ejpam-3350	20	82	a	a	DET
ejpam-3350	20	83	density	density	NOUN
ejpam-3350	20	84	of	of	ADP
ejpam-3350	20	85	the	the	DET
ejpam-3350	20	86	bar	bar	NOUN
ejpam-3350	20	87	material	material	NOUN
ejpam-3350	20	88	,	,	PUNCT
ejpam-3350	20	89	a(x	a(x	PROPN
ejpam-3350	20	90	)	)	PUNCT
ejpam-3350	20	91	is	be	AUX
ejpam-3350	20	92	the	the	DET
ejpam-3350	20	93	area	area	NOUN
ejpam-3350	20	94	cross	cross	PROPN
ejpam-3350	20	95	section	section	PROPN
ejpam-3350	20	96	,	,	PUNCT
ejpam-3350	20	97	e(x	e(x	NUM
ejpam-3350	20	98	)	)	PUNCT
ejpam-3350	20	99	is	be	AUX
ejpam-3350	20	100	the	the	DET
ejpam-3350	20	101	distance	distance	NOUN
ejpam-3350	20	102	from	from	ADP
ejpam-3350	20	103	the	the	DET
ejpam-3350	20	104	gravity	gravity	NOUN
ejpam-3350	20	105	center	center	NOUN
ejpam-3350	20	106	to	to	ADP
ejpam-3350	20	107	the	the	DET
ejpam-3350	20	108	center	center	NOUN
ejpam-3350	20	109	of	of	ADP
ejpam-3350	20	110	torsion	torsion	NOUN
ejpam-3350	20	111	,	,	PUNCT
ejpam-3350	20	112	cw(x	cw(x	NUM
ejpam-3350	20	113	)	)	PUNCT
ejpam-3350	20	114	is	be	AUX
ejpam-3350	20	115	the	the	DET
ejpam-3350	20	116	sectional	sectional	ADJ
ejpam-3350	20	117	moment	moment	NOUN
ejpam-3350	20	118	of	of	ADP
ejpam-3350	20	119	inertia	inertia	NOUN
ejpam-3350	20	120	of	of	ADP
ejpam-3350	20	121	the	the	DET
ejpam-3350	20	122	crosssection	crosssection	NOUN
ejpam-3350	20	123	,	,	PUNCT
ejpam-3350	20	124	g(x	g(x	NOUN
ejpam-3350	20	125	)	)	PUNCT
ejpam-3350	20	126	a	a	DET
ejpam-3350	20	127	shear	shear	NOUN
ejpam-3350	20	128	modulus	modulus	NOUN
ejpam-3350	20	129	,	,	PUNCT
ejpam-3350	20	130	c(x	c(x	NOUN
ejpam-3350	20	131	)	)	PUNCT
ejpam-3350	20	132	is	be	AUX
ejpam-3350	20	133	geometrical	geometrical	ADJ
ejpam-3350	20	134	rigidity	rigidity	NOUN
ejpam-3350	20	135	of	of	ADP
ejpam-3350	20	136	free	free	ADJ
ejpam-3350	20	137	torsion	torsion	NOUN
ejpam-3350	20	138	,	,	PUNCT
ejpam-3350	20	139	e(x)cw(x	e(x)cw(x	ADJ
ejpam-3350	20	140	)	)	PUNCT
ejpam-3350	21	1	is	be	AUX
ejpam-3350	21	2	the	the	DET
ejpam-3350	21	3	rigidity	rigidity	NOUN
ejpam-3350	21	4	of	of	ADP
ejpam-3350	21	5	flexural	flexural	ADJ
ejpam-3350	21	6	functions	function	NOUN
ejpam-3350	21	7	,	,	PUNCT
ejpam-3350	21	8	g(x)c(x	g(x)c(x	NOUN
ejpam-3350	21	9	)	)	PUNCT
ejpam-3350	21	10	is	be	AUX
ejpam-3350	21	11	the	the	DET
ejpam-3350	21	12	rigidity	rigidity	NOUN
ejpam-3350	21	13	of	of	ADP
ejpam-3350	21	14	free	free	ADJ
ejpam-3350	21	15	torsion	torsion	NOUN
ejpam-3350	21	16	,	,	PUNCT
ejpam-3350	21	17	the	the	DET
ejpam-3350	21	18	functions	function	NOUN
ejpam-3350	21	19	(	(	PUNCT
ejpam-3350	21	20	v1	v1	NOUN
ejpam-3350	21	21	(	(	PUNCT
ejpam-3350	21	22	x	x	NOUN
ejpam-3350	21	23	)	)	PUNCT
ejpam-3350	21	24	,	,	PUNCT
ejpam-3350	21	25	w1	w1	NOUN
ejpam-3350	21	26	(	(	PUNCT
ejpam-3350	21	27	x	x	NOUN
ejpam-3350	21	28	)	)	PUNCT
ejpam-3350	21	29	)	)	PUNCT
ejpam-3350	21	30	∈	∈	NOUN
ejpam-3350	21	31	l2	l2	NOUN
ejpam-3350	21	32	(	(	PUNCT
ejpam-3350	21	33	0	0	NUM
ejpam-3350	21	34	,	,	PUNCT
ejpam-3350	21	35	l)×	l)×	NOUN
ejpam-3350	21	36	l2	l2	NOUN
ejpam-3350	21	37	(	(	PUNCT
ejpam-3350	21	38	0	0	NUM
ejpam-3350	21	39	,	,	PUNCT
ejpam-3350	21	40	l)to	l)to	PROPN
ejpam-3350	21	41	be	be	AUX
ejpam-3350	21	42	defined	define	VERB
ejpam-3350	21	43	.	.	PUNCT
ejpam-3350	22	1	note	note	VERB
ejpam-3350	22	2	that	that	SCONJ
ejpam-3350	22	3	for	for	ADP
ejpam-3350	22	4	each	each	DET
ejpam-3350	22	5	fixed	fix	VERB
ejpam-3350	22	6	vector	vector	NOUN
ejpam-3350	22	7	function	function	NOUN
ejpam-3350	22	8	(	(	PUNCT
ejpam-3350	22	9	v1	v1	NOUN
ejpam-3350	22	10	(	(	PUNCT
ejpam-3350	22	11	x	x	NOUN
ejpam-3350	22	12	)	)	PUNCT
ejpam-3350	22	13	,	,	PUNCT
ejpam-3350	22	14	w1	w1	NOUN
ejpam-3350	22	15	(	(	PUNCT
ejpam-3350	22	16	x	x	NOUN
ejpam-3350	22	17	)	)	PUNCT
ejpam-3350	22	18	)	)	PUNCT
ejpam-3350	22	19	∈	∈	NOUN
ejpam-3350	22	20	l2	l2	NOUN
ejpam-3350	22	21	(	(	PUNCT
ejpam-3350	22	22	0	0	NUM
ejpam-3350	22	23	,	,	PUNCT
ejpam-3350	22	24	l	l	NOUN
ejpam-3350	22	25	)	)	PUNCT
ejpam-3350	22	26	×	×	NOUN
ejpam-3350	22	27	l2	l2	NOUN
ejpam-3350	22	28	(	(	PUNCT
ejpam-3350	22	29	0	0	NUM
ejpam-3350	22	30	,	,	PUNCT
ejpam-3350	22	31	l	l	NOUN
ejpam-3350	22	32	)	)	PUNCT
ejpam-3350	22	33	problem	problem	NOUN
ejpam-3350	22	34	(	(	PUNCT
ejpam-3350	22	35	1)-(6	1)-(6	NUM
ejpam-3350	22	36	)	)	PUNCT
ejpam-3350	22	37	has	have	VERB
ejpam-3350	22	38	a	a	DET
ejpam-3350	22	39	unique	unique	ADJ
ejpam-3350	22	40	generalized	generalized	ADJ
ejpam-3350	22	41	solution	solution	NOUN
ejpam-3350	22	42	from	from	ADP
ejpam-3350	22	43	the	the	DET
ejpam-3350	22	44	spaces	space	NOUN
ejpam-3350	22	45	w	w	PROPN
ejpam-3350	22	46	2,1	2,1	NUM
ejpam-3350	22	47	2	2	NUM
ejpam-3350	22	48	(	(	PUNCT
ejpam-3350	22	49	q	q	NOUN
ejpam-3350	22	50	)	)	PUNCT
ejpam-3350	23	1	[	[	X
ejpam-3350	23	2	3,5,6	3,5,6	NUM
ejpam-3350	23	3	]	]	X
ejpam-3350	23	4	.	.	PUNCT
ejpam-3350	24	1	to	to	PART
ejpam-3350	24	2	determine	determine	VERB
ejpam-3350	24	3	v	v	NOUN
ejpam-3350	24	4	(	(	PUNCT
ejpam-3350	24	5	x	x	NOUN
ejpam-3350	24	6	)	)	PUNCT
ejpam-3350	24	7	=	=	SYM
ejpam-3350	24	8	(	(	PUNCT
ejpam-3350	24	9	v1	v1	PROPN
ejpam-3350	24	10	(	(	PUNCT
ejpam-3350	24	11	x	x	NOUN
ejpam-3350	24	12	)	)	PUNCT
ejpam-3350	24	13	,	,	PUNCT
ejpam-3350	24	14	w1	w1	NOUN
ejpam-3350	24	15	(	(	PUNCT
ejpam-3350	24	16	x	x	NOUN
ejpam-3350	24	17	)	)	PUNCT
ejpam-3350	24	18	)	)	PUNCT
ejpam-3350	24	19	,	,	PUNCT
ejpam-3350	24	20	we	we	PRON
ejpam-3350	24	21	give	give	VERB
ejpam-3350	24	22	the	the	DET
ejpam-3350	24	23	additional	additional	ADJ
ejpam-3350	24	24	conditions	condition	NOUN
ejpam-3350	24	25	y	y	PROPN
ejpam-3350	24	26	(	(	PUNCT
ejpam-3350	24	27	x	x	PROPN
ejpam-3350	24	28	,	,	PUNCT
ejpam-3350	24	29	t	t	PROPN
ejpam-3350	24	30	;	;	PUNCT
ejpam-3350	24	31	v	v	X
ejpam-3350	24	32	)	)	PUNCT
ejpam-3350	24	33	=	=	SYM
ejpam-3350	24	34	ϕ1	ϕ1	NOUN
ejpam-3350	24	35	(	(	PUNCT
ejpam-3350	24	36	x	x	NOUN
ejpam-3350	24	37	)	)	PUNCT
ejpam-3350	24	38	,	,	PUNCT
ejpam-3350	24	39	0	0	NUM
ejpam-3350	24	40	≤	≤	NUM
ejpam-3350	24	41	x	x	SYM
ejpam-3350	24	42	≤	≤	NUM
ejpam-3350	24	43	l	l	NOUN
ejpam-3350	24	44	,	,	PUNCT
ejpam-3350	24	45	(	(	PUNCT
ejpam-3350	24	46	7	7	X
ejpam-3350	24	47	)	)	PUNCT
ejpam-3350	24	48	θ	θ	NOUN
ejpam-3350	24	49	(	(	PUNCT
ejpam-3350	24	50	x	x	PROPN
ejpam-3350	24	51	,	,	PUNCT
ejpam-3350	24	52	t	t	PROPN
ejpam-3350	24	53	;	;	PUNCT
ejpam-3350	24	54	v	v	X
ejpam-3350	24	55	)	)	PUNCT
ejpam-3350	24	56	=	=	SYM
ejpam-3350	25	1	ϕ2	ϕ2	ADV
ejpam-3350	25	2	(	(	PUNCT
ejpam-3350	25	3	x	x	NOUN
ejpam-3350	25	4	)	)	PUNCT
ejpam-3350	25	5	,	,	PUNCT
ejpam-3350	25	6	0	0	NUM
ejpam-3350	25	7	≤	≤	NUM
ejpam-3350	25	8	x	x	SYM
ejpam-3350	25	9	≤	≤	NUM
ejpam-3350	25	10	l	l	NOUN
ejpam-3350	25	11	,	,	PUNCT
ejpam-3350	25	12	(	(	PUNCT
ejpam-3350	25	13	8)	8)	NUM
ejpam-3350	25	14	where	where	SCONJ
ejpam-3350	25	15	ϕ1	ϕ1	NOUN
ejpam-3350	25	16	(	(	PUNCT
ejpam-3350	25	17	x	x	NOUN
ejpam-3350	25	18	)	)	PUNCT
ejpam-3350	25	19	,	,	PUNCT
ejpam-3350	25	20	ϕ2	ϕ2	ADV
ejpam-3350	25	21	(	(	PUNCT
ejpam-3350	25	22	x	x	X
ejpam-3350	25	23	)	)	PUNCT
ejpam-3350	25	24	–	–	PUNCT
ejpam-3350	25	25	are	be	AUX
ejpam-3350	25	26	given	give	VERB
ejpam-3350	25	27	functions	function	NOUN
ejpam-3350	25	28	.	.	PUNCT
ejpam-3350	26	1	we	we	PRON
ejpam-3350	26	2	reduce	reduce	VERB
ejpam-3350	26	3	this	this	DET
ejpam-3350	26	4	problem	problem	NOUN
ejpam-3350	26	5	to	to	ADP
ejpam-3350	26	6	the	the	DET
ejpam-3350	26	7	following	follow	VERB
ejpam-3350	26	8	optimal	optimal	ADJ
ejpam-3350	26	9	control	control	NOUN
ejpam-3350	26	10	problem	problem	NOUN
ejpam-3350	26	11	:	:	PUNCT
ejpam-3350	26	12	it	it	PRON
ejpam-3350	26	13	is	be	AUX
ejpam-3350	26	14	required	require	VERB
ejpam-3350	26	15	to	to	PART
ejpam-3350	26	16	find	find	VERB
ejpam-3350	26	17	such	such	DET
ejpam-3350	26	18	a	a	DET
ejpam-3350	26	19	vector	vector	NOUN
ejpam-3350	26	20	-	-	PUNCT
ejpam-3350	26	21	function	function	NOUN
ejpam-3350	26	22	(	(	PUNCT
ejpam-3350	26	23	v1	v1	NOUN
ejpam-3350	26	24	(	(	PUNCT
ejpam-3350	26	25	x	x	NOUN
ejpam-3350	26	26	)	)	PUNCT
ejpam-3350	26	27	,	,	PUNCT
ejpam-3350	26	28	w1	w1	NOUN
ejpam-3350	26	29	(	(	PUNCT
ejpam-3350	26	30	x	x	NOUN
ejpam-3350	26	31	)	)	PUNCT
ejpam-3350	26	32	)	)	PUNCT
ejpam-3350	26	33	∈	∈	NOUN
ejpam-3350	26	34	l2	l2	NOUN
ejpam-3350	26	35	(	(	PUNCT
ejpam-3350	26	36	0	0	NUM
ejpam-3350	26	37	,	,	PUNCT
ejpam-3350	26	38	l)×l2	l)×l2	ADJ
ejpam-3350	26	39	(	(	PUNCT
ejpam-3350	26	40	0	0	NUM
ejpam-3350	26	41	,	,	PUNCT
ejpam-3350	26	42	l	l	NOUN
ejpam-3350	26	43	)	)	PUNCT
ejpam-3350	26	44	,	,	PUNCT
ejpam-3350	26	45	that	that	PRON
ejpam-3350	26	46	minimizes	minimize	VERB
ejpam-3350	26	47	the	the	DET
ejpam-3350	26	48	functional	functional	ADJ
ejpam-3350	26	49	j0	j0	PROPN
ejpam-3350	26	50	(	(	PUNCT
ejpam-3350	26	51	v	v	NOUN
ejpam-3350	26	52	)	)	PUNCT
ejpam-3350	26	53	=	=	SYM
ejpam-3350	26	54	1	1	NUM
ejpam-3350	26	55	2	2	NUM
ejpam-3350	26	56	∫	∫	NOUN
ejpam-3350	26	57	l	l	NOUN
ejpam-3350	26	58	0	0	PUNCT
ejpam-3350	26	59	[	[	PUNCT
ejpam-3350	26	60	(	(	PUNCT
ejpam-3350	26	61	(	(	PUNCT
ejpam-3350	26	62	y	y	PROPN
ejpam-3350	26	63	(	(	PUNCT
ejpam-3350	26	64	x	x	PROPN
ejpam-3350	26	65	,	,	PUNCT
ejpam-3350	26	66	t	t	PROPN
ejpam-3350	26	67	;	;	PUNCT
ejpam-3350	26	68	v)−	v)−	PROPN
ejpam-3350	26	69	ϕ1	ϕ1	NOUN
ejpam-3350	26	70	(	(	PUNCT
ejpam-3350	26	71	x))2	x))2	X
ejpam-3350	26	72	+	+	PUNCT
ejpam-3350	26	73	(	(	PUNCT
ejpam-3350	26	74	θ	θ	PROPN
ejpam-3350	26	75	(	(	PUNCT
ejpam-3350	26	76	x	x	PROPN
ejpam-3350	26	77	,	,	PUNCT
ejpam-3350	26	78	t	t	PROPN
ejpam-3350	26	79	;	;	PUNCT
ejpam-3350	26	80	v)−	v)−	PROPN
ejpam-3350	26	81	ϕ2	ϕ2	ADV
ejpam-3350	26	82	(	(	PUNCT
ejpam-3350	26	83	x))2	x))2	PROPN
ejpam-3350	26	84	]	]	X
ejpam-3350	26	85	dx	dx	PROPN
ejpam-3350	26	86	(	(	PUNCT
ejpam-3350	26	87	9	9	NUM
ejpam-3350	26	88	)	)	PUNCT
ejpam-3350	26	89	together	together	ADV
ejpam-3350	26	90	with	with	ADP
ejpam-3350	26	91	the	the	DET
ejpam-3350	26	92	solution	solution	NOUN
ejpam-3350	26	93	of	of	ADP
ejpam-3350	26	94	boundary	boundary	ADJ
ejpam-3350	26	95	value	value	NOUN
ejpam-3350	26	96	problem	problem	NOUN
ejpam-3350	26	97	(	(	PUNCT
ejpam-3350	26	98	1)-(6	1)-(6	NUM
ejpam-3350	26	99	)	)	PUNCT
ejpam-3350	26	100	.	.	PUNCT
ejpam-3350	27	1	the	the	DET
ejpam-3350	27	2	function	function	NOUN
ejpam-3350	27	3	v	v	NOUN
ejpam-3350	27	4	(	(	PUNCT
ejpam-3350	27	5	x	x	NOUN
ejpam-3350	27	6	)	)	PUNCT
ejpam-3350	27	7	=	=	SYM
ejpam-3350	27	8	(	(	PUNCT
ejpam-3350	27	9	v1	v1	PROPN
ejpam-3350	27	10	(	(	PUNCT
ejpam-3350	27	11	x	x	NOUN
ejpam-3350	27	12	)	)	PUNCT
ejpam-3350	27	13	,	,	PUNCT
ejpam-3350	27	14	w1	w1	NOUN
ejpam-3350	27	15	(	(	PUNCT
ejpam-3350	27	16	x))is	x))is	PROPN
ejpam-3350	27	17	called	call	VERB
ejpam-3350	27	18	a	a	DET
ejpam-3350	27	19	control	control	NOUN
ejpam-3350	27	20	.	.	PUNCT
ejpam-3350	28	1	we	we	PRON
ejpam-3350	28	2	call	call	VERB
ejpam-3350	28	3	problem	problem	NOUN
ejpam-3350	28	4	(	(	PUNCT
ejpam-3350	28	5	1)-(6),(9	1)-(6),(9	NUM
ejpam-3350	28	6	)	)	PUNCT
ejpam-3350	28	7	a	a	DET
ejpam-3350	28	8	reduced	reduce	VERB
ejpam-3350	28	9	problem.the	problem.the	DET
ejpam-3350	28	10	problem	problem	NOUN
ejpam-3350	28	11	(	(	PUNCT
ejpam-3350	28	12	1	1	NUM
ejpam-3350	28	13	)	)	PUNCT
ejpam-3350	28	14	(	(	PUNCT
ejpam-3350	28	15	6	6	NUM
ejpam-3350	28	16	)	)	PUNCT
ejpam-3350	28	17	,	,	PUNCT
ejpam-3350	28	18	(	(	PUNCT
ejpam-3350	28	19	9	9	X
ejpam-3350	28	20	)	)	PUNCT
ejpam-3350	28	21	is	be	AUX
ejpam-3350	28	22	regularized	regularize	VERB
ejpam-3350	28	23	as	as	SCONJ
ejpam-3350	28	24	follows	follow	VERB
ejpam-3350	28	25	.	.	PUNCT
ejpam-3350	29	1	we	we	PRON
ejpam-3350	29	2	introduce	introduce	VERB
ejpam-3350	29	3	the	the	DET
ejpam-3350	29	4	functional	functional	ADJ
ejpam-3350	29	5	a.t	a.t	PROPN
ejpam-3350	29	6	.	.	PUNCT
ejpam-3350	29	7	ramazanova	ramazanova	PROPN
ejpam-3350	29	8	/	/	SYM
ejpam-3350	29	9	eur	eur	PROPN
ejpam-3350	29	10	.	.	PUNCT
ejpam-3350	30	1	j.	j.	PROPN
ejpam-3350	30	2	pure	pure	PROPN
ejpam-3350	30	3	appl	appl	PROPN
ejpam-3350	30	4	.	.	PROPN
ejpam-3350	30	5	math	math	PROPN
ejpam-3350	30	6	,	,	PUNCT
ejpam-3350	30	7	12	12	NUM
ejpam-3350	30	8	(	(	PUNCT
ejpam-3350	30	9	1	1	NUM
ejpam-3350	30	10	)	)	PUNCT
ejpam-3350	30	11	(	(	PUNCT
ejpam-3350	30	12	2019	2019	NUM
ejpam-3350	30	13	)	)	PUNCT
ejpam-3350	30	14	,	,	PUNCT
ejpam-3350	30	15	25	25	NUM
ejpam-3350	30	16	-	-	SYM
ejpam-3350	30	17	38	38	NUM
ejpam-3350	30	18	27	27	NUM
ejpam-3350	30	19	jα	jα	NOUN
ejpam-3350	30	20	(	(	PUNCT
ejpam-3350	30	21	v	v	NOUN
ejpam-3350	30	22	)	)	PUNCT
ejpam-3350	30	23	=	=	SYM
ejpam-3350	30	24	j0	j0	PROPN
ejpam-3350	30	25	(	(	PUNCT
ejpam-3350	30	26	v	v	NOUN
ejpam-3350	30	27	)	)	PUNCT
ejpam-3350	30	28	+	+	CCONJ
ejpam-3350	30	29	α	α	PROPN
ejpam-3350	30	30	2	2	NUM
ejpam-3350	30	31	(	(	PUNCT
ejpam-3350	30	32	‖v1‖2l2(0,l	‖v1‖2l2(0,l	PROPN
ejpam-3350	30	33	)	)	PUNCT
ejpam-3350	30	34	+	+	CCONJ
ejpam-3350	30	35	‖w1‖2l2(0,l	‖w1‖2l2(0,l	PROPN
ejpam-3350	30	36	)	)	PUNCT
ejpam-3350	30	37	)	)	PUNCT
ejpam-3350	30	38	,	,	PUNCT
ejpam-3350	31	1	α	α	X
ejpam-3350	31	2	=	=	PUNCT
ejpam-3350	31	3	const	const	X
ejpam-3350	31	4	>	>	X
ejpam-3350	31	5	0	0	PUNCT
ejpam-3350	31	6	(	(	PUNCT
ejpam-3350	31	7	10	10	NUM
ejpam-3350	31	8	)	)	PUNCT
ejpam-3350	31	9	now	now	ADV
ejpam-3350	31	10	for	for	ADP
ejpam-3350	31	11	a	a	DET
ejpam-3350	31	12	class	class	NOUN
ejpam-3350	31	13	of	of	ADP
ejpam-3350	31	14	admissible	admissible	ADJ
ejpam-3350	31	15	controls	control	NOUN
ejpam-3350	31	16	we	we	PRON
ejpam-3350	31	17	take	take	VERB
ejpam-3350	31	18	a	a	DET
ejpam-3350	31	19	convex	convex	NOUN
ejpam-3350	31	20	,	,	PUNCT
ejpam-3350	31	21	closed	close	VERB
ejpam-3350	31	22	set	set	VERB
ejpam-3350	31	23	uad∈	uad∈	PRON
ejpam-3350	31	24	l2	l2	NOUN
ejpam-3350	31	25	(	(	PUNCT
ejpam-3350	31	26	0	0	NUM
ejpam-3350	31	27	,	,	PUNCT
ejpam-3350	31	28	l	l	NOUN
ejpam-3350	31	29	)	)	PUNCT
ejpam-3350	31	30	×	×	NOUN
ejpam-3350	31	31	l2	l2	NOUN
ejpam-3350	31	32	(	(	PUNCT
ejpam-3350	31	33	0	0	NUM
ejpam-3350	31	34	,	,	PUNCT
ejpam-3350	31	35	l	l	NOUN
ejpam-3350	31	36	)	)	PUNCT
ejpam-3350	31	37	of	of	ADP
ejpam-3350	31	38	vector	vector	NOUN
ejpam-3350	31	39	-	-	PUNCT
ejpam-3350	31	40	functions	function	NOUN
ejpam-3350	31	41	v	v	NOUN
ejpam-3350	31	42	(	(	PUNCT
ejpam-3350	31	43	x	x	NOUN
ejpam-3350	31	44	)	)	PUNCT
ejpam-3350	31	45	=	=	SYM
ejpam-3350	31	46	(	(	PUNCT
ejpam-3350	31	47	v1	v1	PROPN
ejpam-3350	31	48	(	(	PUNCT
ejpam-3350	31	49	x	x	NOUN
ejpam-3350	31	50	)	)	PUNCT
ejpam-3350	31	51	,	,	PUNCT
ejpam-3350	31	52	w1	w1	NOUN
ejpam-3350	31	53	(	(	PUNCT
ejpam-3350	31	54	x	x	NOUN
ejpam-3350	31	55	)	)	PUNCT
ejpam-3350	31	56	)	)	PUNCT
ejpam-3350	31	57	.	.	PUNCT
ejpam-3350	31	58	suppose	suppose	VERB
ejpam-3350	31	59	that	that	SCONJ
ejpam-3350	31	60	data	datum	NOUN
ejpam-3350	31	61	of	of	ADP
ejpam-3350	31	62	problem	problem	NOUN
ejpam-3350	31	63	(	(	PUNCT
ejpam-3350	31	64	1)-(6	1)-(6	NUM
ejpam-3350	31	65	)	)	PUNCT
ejpam-3350	31	66	satisfy	satisfy	VERB
ejpam-3350	31	67	the	the	DET
ejpam-3350	31	68	following	follow	VERB
ejpam-3350	31	69	conditions	condition	NOUN
ejpam-3350	31	70	:	:	PUNCT
ejpam-3350	31	71	1	1	NUM
ejpam-3350	31	72	)	)	PUNCT
ejpam-3350	31	73	e	e	NOUN
ejpam-3350	31	74	(	(	PUNCT
ejpam-3350	31	75	x	x	X
ejpam-3350	31	76	)	)	PUNCT
ejpam-3350	31	77	,	,	PUNCT
ejpam-3350	31	78	i	i	PRON
ejpam-3350	31	79	(	(	PUNCT
ejpam-3350	31	80	x	x	X
ejpam-3350	31	81	)	)	PUNCT
ejpam-3350	31	82	,	,	PUNCT
ejpam-3350	31	83	ρ	ρ	PROPN
ejpam-3350	31	84	(	(	PUNCT
ejpam-3350	31	85	x	x	NOUN
ejpam-3350	31	86	)	)	PUNCT
ejpam-3350	31	87	,	,	PUNCT
ejpam-3350	31	88	a	a	DET
ejpam-3350	31	89	(	(	PUNCT
ejpam-3350	31	90	x	x	NOUN
ejpam-3350	31	91	)	)	PUNCT
ejpam-3350	31	92	,	,	PUNCT
ejpam-3350	31	93	e	e	X
ejpam-3350	31	94	(	(	PUNCT
ejpam-3350	31	95	x	x	X
ejpam-3350	31	96	)	)	PUNCT
ejpam-3350	31	97	,	,	PUNCT
ejpam-3350	31	98	cω	cω	PROPN
ejpam-3350	31	99	(	(	PUNCT
ejpam-3350	31	100	x	x	NOUN
ejpam-3350	31	101	)	)	PUNCT
ejpam-3350	31	102	,	,	PUNCT
ejpam-3350	31	103	g	g	PROPN
ejpam-3350	31	104	(	(	PUNCT
ejpam-3350	31	105	x	x	NOUN
ejpam-3350	31	106	)	)	PUNCT
ejpam-3350	31	107	,	,	PUNCT
ejpam-3350	31	108	c	c	X
ejpam-3350	31	109	(	(	PUNCT
ejpam-3350	31	110	x	x	X
ejpam-3350	31	111	)	)	PUNCT
ejpam-3350	31	112	,	,	PUNCT
ejpam-3350	31	113	are	be	AUX
ejpam-3350	31	114	mesaurable	mesaurable	ADJ
ejpam-3350	31	115	,	,	PUNCT
ejpam-3350	31	116	bounded	bounded	ADJ
ejpam-3350	31	117	and	and	CCONJ
ejpam-3350	31	118	positive	positive	ADJ
ejpam-3350	31	119	functions	function	NOUN
ejpam-3350	31	120	on	on	ADP
ejpam-3350	31	121	the	the	DET
ejpam-3350	31	122	interval	interval	NOUN
ejpam-3350	31	123	[	[	X
ejpam-3350	31	124	0	0	NUM
ejpam-3350	31	125	,	,	PUNCT
ejpam-3350	31	126	l	l	NOUN
ejpam-3350	31	127	]	]	X
ejpam-3350	31	128	;	;	PUNCT
ejpam-3350	31	129	2	2	X
ejpam-3350	31	130	)	)	PUNCT
ejpam-3350	31	131	f1	f1	NOUN
ejpam-3350	31	132	,	,	PUNCT
ejpam-3350	31	133	f2	f2	PROPN
ejpam-3350	31	134	∈	∈	NOUN
ejpam-3350	31	135	l2	l2	NOUN
ejpam-3350	31	136	(	(	PUNCT
ejpam-3350	31	137	q	q	NOUN
ejpam-3350	31	138	)	)	PUNCT
ejpam-3350	31	139	,	,	PUNCT
ejpam-3350	31	140	ϕ1	ϕ1	NOUN
ejpam-3350	31	141	,	,	PUNCT
ejpam-3350	31	142	ϕ2	ϕ2	ADV
ejpam-3350	31	143	∈	∈	NOUN
ejpam-3350	31	144	l2	l2	NOUN
ejpam-3350	31	145	(	(	PUNCT
ejpam-3350	31	146	0	0	NUM
ejpam-3350	31	147	,	,	PUNCT
ejpam-3350	31	148	l)are	l)are	NOUN
ejpam-3350	31	149	given	give	VERB
ejpam-3350	31	150	functions	function	NOUN
ejpam-3350	31	151	.	.	PUNCT
ejpam-3350	32	1	3	3	X
ejpam-3350	32	2	.	.	X
ejpam-3350	32	3	differentiability	differentiability	NOUN
ejpam-3350	32	4	of	of	ADP
ejpam-3350	32	5	functional	functional	ADJ
ejpam-3350	32	6	(	(	PUNCT
ejpam-3350	32	7	10	10	NUM
ejpam-3350	32	8	)	)	PUNCT
ejpam-3350	32	9	we	we	PRON
ejpam-3350	32	10	show	show	VERB
ejpam-3350	32	11	that	that	SCONJ
ejpam-3350	32	12	the	the	DET
ejpam-3350	32	13	functional	functional	ADJ
ejpam-3350	32	14	(	(	PUNCT
ejpam-3350	32	15	10	10	NUM
ejpam-3350	32	16	)	)	PUNCT
ejpam-3350	32	17	is	be	AUX
ejpam-3350	32	18	differentiable	differentiable	ADJ
ejpam-3350	32	19	in	in	ADP
ejpam-3350	32	20	l2	l2	NOUN
ejpam-3350	32	21	(	(	PUNCT
ejpam-3350	32	22	0	0	NUM
ejpam-3350	32	23	,	,	PUNCT
ejpam-3350	32	24	l)×	l)×	NOUN
ejpam-3350	32	25	l2	l2	NOUN
ejpam-3350	32	26	(	(	PUNCT
ejpam-3350	32	27	0	0	NUM
ejpam-3350	32	28	,	,	PUNCT
ejpam-3350	32	29	l	l	NOUN
ejpam-3350	32	30	)	)	PUNCT
ejpam-3350	32	31	.	.	PUNCT
ejpam-3350	33	1	introduce	introduce	VERB
ejpam-3350	33	2	the	the	DET
ejpam-3350	33	3	following	follow	VERB
ejpam-3350	33	4	problem	problem	NOUN
ejpam-3350	33	5	adjoint	adjoint	VERB
ejpam-3350	33	6	to	to	ADP
ejpam-3350	33	7	the	the	DET
ejpam-3350	33	8	problem	problem	NOUN
ejpam-3350	33	9	(	(	PUNCT
ejpam-3350	33	10	1)-(6	1)-(6	NUM
ejpam-3350	33	11	)	)	PUNCT
ejpam-3350	33	12	,	,	PUNCT
ejpam-3350	33	13	(	(	PUNCT
ejpam-3350	33	14	10	10	NUM
ejpam-3350	33	15	):	):	SYM
ejpam-3350	33	16	∂2	∂2	NUM
ejpam-3350	33	17	∂x2	∂x2	NOUN
ejpam-3350	33	18	(	(	PUNCT
ejpam-3350	33	19	e	e	X
ejpam-3350	33	20	(	(	PUNCT
ejpam-3350	33	21	x	x	X
ejpam-3350	33	22	)	)	PUNCT
ejpam-3350	33	23	i	i	PRON
ejpam-3350	33	24	(	(	PUNCT
ejpam-3350	33	25	x	x	X
ejpam-3350	33	26	)	)	PUNCT
ejpam-3350	33	27	∂2ψ1	∂2ψ1	PUNCT
ejpam-3350	33	28	∂x2	∂x2	NOUN
ejpam-3350	33	29	)	)	PUNCT
ejpam-3350	34	1	+	+	CCONJ
ejpam-3350	34	2	ρ	ρ	PROPN
ejpam-3350	34	3	(	(	PUNCT
ejpam-3350	34	4	x)a	x)a	X
ejpam-3350	34	5	(	(	PUNCT
ejpam-3350	34	6	x	x	X
ejpam-3350	34	7	)	)	PUNCT
ejpam-3350	34	8	∂2ψ1	∂2ψ1	PROPN
ejpam-3350	35	1	∂t2	∂t2	NOUN
ejpam-3350	35	2	−	−	PROPN
ejpam-3350	35	3	ρ	ρ	PROPN
ejpam-3350	35	4	(	(	PUNCT
ejpam-3350	35	5	x)a	x)a	X
ejpam-3350	35	6	(	(	PUNCT
ejpam-3350	35	7	x	x	X
ejpam-3350	35	8	)	)	PUNCT
ejpam-3350	35	9	e	e	NOUN
ejpam-3350	35	10	(	(	PUNCT
ejpam-3350	35	11	x	x	NOUN
ejpam-3350	35	12	)	)	PUNCT
ejpam-3350	35	13	∂2ψ2	∂2ψ2	PART
ejpam-3350	35	14	∂t2	∂t2	NOUN
ejpam-3350	35	15	=	=	SYM
ejpam-3350	35	16	0	0	NUM
ejpam-3350	35	17	,	,	PUNCT
ejpam-3350	35	18	(	(	PUNCT
ejpam-3350	35	19	x	x	NOUN
ejpam-3350	35	20	,	,	PUNCT
ejpam-3350	35	21	t	t	PROPN
ejpam-3350	35	22	)	)	PUNCT
ejpam-3350	35	23	∈	∈	PROPN
ejpam-3350	36	1	q	q	NOUN
ejpam-3350	36	2	,	,	PUNCT
ejpam-3350	36	3	(	(	PUNCT
ejpam-3350	36	4	11	11	NUM
ejpam-3350	36	5	)	)	PUNCT
ejpam-3350	36	6	∂2	∂2	NOUN
ejpam-3350	36	7	∂x2	∂x2	NOUN
ejpam-3350	36	8	(	(	PUNCT
ejpam-3350	36	9	e	e	X
ejpam-3350	36	10	(	(	PUNCT
ejpam-3350	36	11	x)cw	x)cw	PROPN
ejpam-3350	36	12	(	(	PUNCT
ejpam-3350	36	13	x	x	X
ejpam-3350	36	14	)	)	PUNCT
ejpam-3350	36	15	∂2ψ2	∂2ψ2	VERB
ejpam-3350	36	16	∂x2	∂x2	NOUN
ejpam-3350	36	17	)	)	PUNCT
ejpam-3350	36	18	−g	−g	NOUN
ejpam-3350	36	19	(	(	PUNCT
ejpam-3350	36	20	x)c	x)c	X
ejpam-3350	36	21	(	(	PUNCT
ejpam-3350	36	22	x	x	X
ejpam-3350	36	23	)	)	PUNCT
ejpam-3350	36	24	∂2ψ2	∂2ψ2	VERB
ejpam-3350	36	25	∂x2	∂x2	NOUN
ejpam-3350	36	26	−	−	NOUN
ejpam-3350	36	27	ρ	ρ	PROPN
ejpam-3350	36	28	(	(	PUNCT
ejpam-3350	36	29	x)a	x)a	X
ejpam-3350	36	30	(	(	PUNCT
ejpam-3350	36	31	x	x	X
ejpam-3350	36	32	)	)	PUNCT
ejpam-3350	36	33	e	e	NOUN
ejpam-3350	36	34	(	(	PUNCT
ejpam-3350	36	35	x	x	NOUN
ejpam-3350	36	36	)	)	PUNCT
ejpam-3350	36	37	∂2ψ1	∂2ψ1	PART
ejpam-3350	36	38	∂t2	∂t2	NOUN
ejpam-3350	36	39	+	+	X
ejpam-3350	36	40	+	+	ADJ
ejpam-3350	36	41	ρ	ρ	NOUN
ejpam-3350	36	42	(	(	PUNCT
ejpam-3350	36	43	x	x	NOUN
ejpam-3350	36	44	)	)	PUNCT
ejpam-3350	36	45	(	(	PUNCT
ejpam-3350	36	46	i	i	PRON
ejpam-3350	36	47	(	(	PUNCT
ejpam-3350	36	48	x	x	X
ejpam-3350	36	49	)	)	PUNCT
ejpam-3350	36	50	+	+	ADP
ejpam-3350	36	51	a	a	DET
ejpam-3350	36	52	(	(	PUNCT
ejpam-3350	36	53	x	x	NOUN
ejpam-3350	36	54	)	)	PUNCT
ejpam-3350	36	55	e2	e2	PROPN
ejpam-3350	36	56	(	(	PUNCT
ejpam-3350	36	57	x	x	NOUN
ejpam-3350	36	58	)	)	PUNCT
ejpam-3350	36	59	)	)	PUNCT
ejpam-3350	36	60	∂2ψ2	∂2ψ2	PART
ejpam-3350	37	1	∂t2	∂t2	NOUN
ejpam-3350	37	2	=	=	SYM
ejpam-3350	37	3	0	0	NUM
ejpam-3350	37	4	,	,	PUNCT
ejpam-3350	37	5	(	(	PUNCT
ejpam-3350	37	6	x	x	NOUN
ejpam-3350	37	7	,	,	PUNCT
ejpam-3350	37	8	t	t	PROPN
ejpam-3350	37	9	)	)	PUNCT
ejpam-3350	37	10	∈	∈	PROPN
ejpam-3350	38	1	q	q	NOUN
ejpam-3350	38	2	,	,	PUNCT
ejpam-3350	38	3	(	(	PUNCT
ejpam-3350	38	4	12	12	NUM
ejpam-3350	38	5	)	)	PUNCT
ejpam-3350	38	6	ψ1|x=0	ψ1|x=0	PUNCT
ejpam-3350	39	1	=	=	SYM
ejpam-3350	39	2	ψ1|x	ψ1|x	NOUN
ejpam-3350	39	3	=	=	NOUN
ejpam-3350	39	4	l	l	NOUN
ejpam-3350	39	5	=	=	SYM
ejpam-3350	39	6	0	0	NUM
ejpam-3350	39	7	,	,	PUNCT
ejpam-3350	39	8	∂ψ1	∂ψ1	ADJ
ejpam-3350	39	9	∂x	∂x	PROPN
ejpam-3350	39	10	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	39	11	x=0	x=0	PUNCT
ejpam-3350	39	12	=	=	SYM
ejpam-3350	39	13	∂ψ1	∂ψ1	ADJ
ejpam-3350	39	14	∂x	∂x	PROPN
ejpam-3350	39	15	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	39	16	x	x	SYM
ejpam-3350	39	17	=	=	NOUN
ejpam-3350	39	18	l	l	NOUN
ejpam-3350	39	19	=	=	SYM
ejpam-3350	39	20	0	0	NUM
ejpam-3350	39	21	,	,	PUNCT
ejpam-3350	39	22	0≤t≤t	0≤t≤t	NUM
ejpam-3350	39	23	,	,	PUNCT
ejpam-3350	39	24	(	(	PUNCT
ejpam-3350	39	25	13	13	NUM
ejpam-3350	39	26	)	)	PUNCT
ejpam-3350	39	27	ψ2|x=0	ψ2|x=0	PUNCT
ejpam-3350	39	28	=	=	PUNCT
ejpam-3350	39	29	ψ2|x	ψ2|x	NOUN
ejpam-3350	39	30	=	=	SYM
ejpam-3350	39	31	l	l	NOUN
ejpam-3350	39	32	=	=	SYM
ejpam-3350	39	33	0	0	NUM
ejpam-3350	39	34	,	,	PUNCT
ejpam-3350	39	35	∂ψ2	∂ψ2	ADJ
ejpam-3350	39	36	∂x	∂x	PROPN
ejpam-3350	39	37	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	39	38	x=0	x=0	SYM
ejpam-3350	39	39	=	=	SYM
ejpam-3350	39	40	∂ψ2	∂ψ2	ADJ
ejpam-3350	39	41	∂x	∂x	PROPN
ejpam-3350	39	42	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	39	43	x	x	SYM
ejpam-3350	39	44	=	=	NOUN
ejpam-3350	39	45	l	l	NOUN
ejpam-3350	39	46	=	=	SYM
ejpam-3350	39	47	0	0	NUM
ejpam-3350	39	48	,	,	PUNCT
ejpam-3350	39	49	0≤t≤t	0≤t≤t	NUM
ejpam-3350	39	50	,	,	PUNCT
ejpam-3350	39	51	ψ1|t	ψ1|t	ADJ
ejpam-3350	39	52	=	=	NOUN
ejpam-3350	39	53	t	t	NOUN
ejpam-3350	39	54	=	=	SYM
ejpam-3350	39	55	0	0	NUM
ejpam-3350	39	56	,	,	PUNCT
ejpam-3350	39	57	ψ2|t	ψ2|t	NOUN
ejpam-3350	39	58	=	=	SYM
ejpam-3350	39	59	t	t	NOUN
ejpam-3350	39	60	=	=	SYM
ejpam-3350	39	61	0	0	NUM
ejpam-3350	39	62	,	,	PUNCT
ejpam-3350	39	63	0≤x≤l	0≤x≤l	NUM
ejpam-3350	39	64	,	,	PUNCT
ejpam-3350	39	65	(	(	PUNCT
ejpam-3350	39	66	14	14	NUM
ejpam-3350	39	67	)	)	PUNCT
ejpam-3350	39	68	∂ψ1	∂ψ1	ADJ
ejpam-3350	39	69	∂t	∂t	PROPN
ejpam-3350	39	70	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	39	71	t	t	PROPN
ejpam-3350	39	72	=	=	PROPN
ejpam-3350	39	73	t	t	NOUN
ejpam-3350	39	74	=	=	SYM
ejpam-3350	39	75	=	=	SYM
ejpam-3350	39	76	−(i	−(i	PROPN
ejpam-3350	39	77	(	(	PUNCT
ejpam-3350	39	78	x	x	X
ejpam-3350	39	79	)	)	PUNCT
ejpam-3350	39	80	+	+	ADP
ejpam-3350	39	81	a	a	DET
ejpam-3350	39	82	(	(	PUNCT
ejpam-3350	39	83	x	x	NOUN
ejpam-3350	39	84	)	)	PUNCT
ejpam-3350	39	85	e2	e2	PROPN
ejpam-3350	39	86	(	(	PUNCT
ejpam-3350	39	87	x))(ϕ1	x))(ϕ1	PUNCT
ejpam-3350	40	1	(	(	PUNCT
ejpam-3350	40	2	x)−	x)−	PROPN
ejpam-3350	40	3	y	y	PROPN
ejpam-3350	40	4	(	(	PUNCT
ejpam-3350	40	5	x	x	PROPN
ejpam-3350	40	6	,	,	PUNCT
ejpam-3350	40	7	t	t	PROPN
ejpam-3350	40	8	;	;	PUNCT
ejpam-3350	40	9	v	v	X
ejpam-3350	40	10	)	)	PUNCT
ejpam-3350	40	11	+	+	ADP
ejpam-3350	40	12	a	a	DET
ejpam-3350	40	13	(	(	PUNCT
ejpam-3350	40	14	x	x	NOUN
ejpam-3350	40	15	)	)	PUNCT
ejpam-3350	40	16	e(x)(ϕ2	e(x)(ϕ2	NOUN
ejpam-3350	40	17	(	(	PUNCT
ejpam-3350	40	18	x)−	x)−	PROPN
ejpam-3350	40	19	θ	θ	PROPN
ejpam-3350	40	20	(	(	PUNCT
ejpam-3350	40	21	x	x	PROPN
ejpam-3350	40	22	,	,	PUNCT
ejpam-3350	40	23	t	t	PROPN
ejpam-3350	40	24	;	;	PUNCT
ejpam-3350	40	25	v	v	NOUN
ejpam-3350	40	26	)	)	PUNCT
ejpam-3350	40	27	)	)	PUNCT
ejpam-3350	40	28	ρ	ρ	PROPN
ejpam-3350	40	29	(	(	PUNCT
ejpam-3350	40	30	x)a	x)a	X
ejpam-3350	40	31	(	(	PUNCT
ejpam-3350	40	32	x	x	X
ejpam-3350	40	33	)	)	PUNCT
ejpam-3350	40	34	i	i	PRON
ejpam-3350	40	35	(	(	PUNCT
ejpam-3350	40	36	x	x	X
ejpam-3350	40	37	)	)	PUNCT
ejpam-3350	40	38	,	,	PUNCT
ejpam-3350	40	39	∂ψ2	∂ψ2	PROPN
ejpam-3350	40	40	∂t	∂t	PROPN
ejpam-3350	40	41	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	40	42	t	t	PROPN
ejpam-3350	40	43	=	=	PROPN
ejpam-3350	40	44	t	t	NOUN
ejpam-3350	40	45	=	=	SYM
ejpam-3350	40	46	−(ϕ1	−(ϕ1	X
ejpam-3350	40	47	(	(	PUNCT
ejpam-3350	40	48	x)−	x)−	PROPN
ejpam-3350	40	49	y	y	PROPN
ejpam-3350	40	50	(	(	PUNCT
ejpam-3350	40	51	x	x	PROPN
ejpam-3350	40	52	,	,	PUNCT
ejpam-3350	40	53	t	t	PROPN
ejpam-3350	40	54	;	;	PUNCT
ejpam-3350	40	55	v	v	X
ejpam-3350	40	56	)	)	PUNCT
ejpam-3350	40	57	e(x	e(x	NUM
ejpam-3350	40	58	)	)	PUNCT
ejpam-3350	41	1	+	+	CCONJ
ejpam-3350	41	2	ϕ2	ϕ2	ADV
ejpam-3350	41	3	(	(	PUNCT
ejpam-3350	41	4	x)−	x)−	PROPN
ejpam-3350	41	5	θ	θ	PROPN
ejpam-3350	41	6	(	(	PUNCT
ejpam-3350	41	7	x	x	PROPN
ejpam-3350	41	8	,	,	PUNCT
ejpam-3350	41	9	t	t	PROPN
ejpam-3350	41	10	;	;	PUNCT
ejpam-3350	41	11	v	v	NOUN
ejpam-3350	41	12	)	)	PUNCT
ejpam-3350	41	13	)	)	PUNCT
ejpam-3350	41	14	ρ	ρ	PROPN
ejpam-3350	41	15	(	(	PUNCT
ejpam-3350	41	16	x	x	X
ejpam-3350	41	17	)	)	PUNCT
ejpam-3350	41	18	i	i	PRON
ejpam-3350	41	19	(	(	PUNCT
ejpam-3350	41	20	x	x	NOUN
ejpam-3350	41	21	)	)	PUNCT
ejpam-3350	41	22	.	.	PUNCT
ejpam-3350	42	1	(	(	PUNCT
ejpam-3350	42	2	15	15	X
ejpam-3350	42	3	)	)	PUNCT
ejpam-3350	42	4	a.t	a.t	PROPN
ejpam-3350	42	5	.	.	PROPN
ejpam-3350	42	6	ramazanova	ramazanova	PROPN
ejpam-3350	42	7	/	/	SYM
ejpam-3350	42	8	eur	eur	PROPN
ejpam-3350	42	9	.	.	PUNCT
ejpam-3350	43	1	j.	j.	PROPN
ejpam-3350	43	2	pure	pure	PROPN
ejpam-3350	43	3	appl	appl	PROPN
ejpam-3350	43	4	.	.	PROPN
ejpam-3350	43	5	math	math	PROPN
ejpam-3350	43	6	,	,	PUNCT
ejpam-3350	43	7	12	12	NUM
ejpam-3350	43	8	(	(	PUNCT
ejpam-3350	43	9	1	1	NUM
ejpam-3350	43	10	)	)	PUNCT
ejpam-3350	43	11	(	(	PUNCT
ejpam-3350	43	12	2019	2019	NUM
ejpam-3350	43	13	)	)	PUNCT
ejpam-3350	43	14	,	,	PUNCT
ejpam-3350	43	15	25	25	NUM
ejpam-3350	43	16	-	-	SYM
ejpam-3350	43	17	38	38	NUM
ejpam-3350	43	18	28	28	NUM
ejpam-3350	43	19	we	we	PRON
ejpam-3350	43	20	take	take	VERB
ejpam-3350	43	21	the	the	DET
ejpam-3350	43	22	two	two	NUM
ejpam-3350	43	23	admissible	admissible	ADJ
ejpam-3350	43	24	controls	control	NOUN
ejpam-3350	43	25	and	and	CCONJ
ejpam-3350	43	26	assign	assign	VERB
ejpam-3350	43	27	them	they	PRON
ejpam-3350	43	28	the	the	DET
ejpam-3350	43	29	increments	increment	NOUN
ejpam-3350	43	30	δv1	δv1	PROPN
ejpam-3350	43	31	∈	∈	NOUN
ejpam-3350	43	32	l2	l2	NOUN
ejpam-3350	43	33	(	(	PUNCT
ejpam-3350	43	34	0	0	NUM
ejpam-3350	43	35	,	,	PUNCT
ejpam-3350	43	36	l	l	NOUN
ejpam-3350	43	37	)	)	PUNCT
ejpam-3350	43	38	and	and	CCONJ
ejpam-3350	43	39	δw1	δw1	NOUN
ejpam-3350	43	40	∈	∈	PROPN
ejpam-3350	43	41	l2	l2	NOUN
ejpam-3350	43	42	(	(	PUNCT
ejpam-3350	43	43	0	0	NUM
ejpam-3350	43	44	,	,	PUNCT
ejpam-3350	43	45	l	l	NOUN
ejpam-3350	43	46	)	)	PUNCT
ejpam-3350	43	47	in	in	ADP
ejpam-3350	43	48	such	such	DET
ejpam-3350	43	49	a	a	DET
ejpam-3350	43	50	way	way	NOUN
ejpam-3350	43	51	that	that	PRON
ejpam-3350	43	52	,	,	PUNCT
ejpam-3350	43	53	(	(	PUNCT
ejpam-3350	43	54	v1	v1	NOUN
ejpam-3350	43	55	(	(	PUNCT
ejpam-3350	43	56	x	x	NOUN
ejpam-3350	43	57	)	)	PUNCT
ejpam-3350	44	1	+	+	CCONJ
ejpam-3350	44	2	δv1	δv1	ADJ
ejpam-3350	44	3	(	(	PUNCT
ejpam-3350	44	4	x	x	NOUN
ejpam-3350	44	5	)	)	PUNCT
ejpam-3350	44	6	,	,	PUNCT
ejpam-3350	44	7	w1	w1	NOUN
ejpam-3350	44	8	(	(	PUNCT
ejpam-3350	44	9	x	x	NOUN
ejpam-3350	44	10	)	)	PUNCT
ejpam-3350	45	1	+	+	CCONJ
ejpam-3350	45	2	δw1	δw1	NOUN
ejpam-3350	45	3	(	(	PUNCT
ejpam-3350	45	4	x	x	X
ejpam-3350	45	5	)	)	PUNCT
ejpam-3350	45	6	∈	∈	PROPN
ejpam-3350	45	7	uad	uad	PROPN
ejpam-3350	45	8	)	)	PUNCT
ejpam-3350	45	9	,	,	PUNCT
ejpam-3350	45	10	v	v	X
ejpam-3350	45	11	(	(	PUNCT
ejpam-3350	45	12	x	x	NOUN
ejpam-3350	45	13	)	)	PUNCT
ejpam-3350	45	14	=	=	SYM
ejpam-3350	45	15	(	(	PUNCT
ejpam-3350	45	16	v1	v1	PROPN
ejpam-3350	45	17	(	(	PUNCT
ejpam-3350	45	18	x	x	NOUN
ejpam-3350	45	19	)	)	PUNCT
ejpam-3350	45	20	,	,	PUNCT
ejpam-3350	45	21	w1	w1	NOUN
ejpam-3350	45	22	(	(	PUNCT
ejpam-3350	45	23	x	x	NOUN
ejpam-3350	45	24	)	)	PUNCT
ejpam-3350	45	25	)	)	PUNCT
ejpam-3350	45	26	,	,	PUNCT
ejpam-3350	45	27	v	v	X
ejpam-3350	45	28	(	(	PUNCT
ejpam-3350	45	29	x	x	NOUN
ejpam-3350	45	30	)	)	PUNCT
ejpam-3350	45	31	+	+	CCONJ
ejpam-3350	45	32	δv	δv	ADV
ejpam-3350	45	33	(	(	PUNCT
ejpam-3350	45	34	x	x	X
ejpam-3350	45	35	)	)	PUNCT
ejpam-3350	45	36	=	=	SYM
ejpam-3350	46	1	=	=	SYM
ejpam-3350	46	2	(	(	PUNCT
ejpam-3350	46	3	v1	v1	PROPN
ejpam-3350	46	4	(	(	PUNCT
ejpam-3350	46	5	x	x	NOUN
ejpam-3350	46	6	)	)	PUNCT
ejpam-3350	47	1	+	+	CCONJ
ejpam-3350	47	2	δv1	δv1	ADJ
ejpam-3350	47	3	(	(	PUNCT
ejpam-3350	47	4	x	x	NOUN
ejpam-3350	47	5	)	)	PUNCT
ejpam-3350	47	6	,	,	PUNCT
ejpam-3350	47	7	w1	w1	NOUN
ejpam-3350	47	8	(	(	PUNCT
ejpam-3350	47	9	x	x	NOUN
ejpam-3350	47	10	)	)	PUNCT
ejpam-3350	48	1	+	+	CCONJ
ejpam-3350	48	2	δw1	δw1	NOUN
ejpam-3350	48	3	(	(	PUNCT
ejpam-3350	48	4	x	x	NOUN
ejpam-3350	48	5	)	)	PUNCT
ejpam-3350	48	6	)	)	PUNCT
ejpam-3350	48	7	∈	∈	NOUN
ejpam-3350	48	8	l2	l2	NOUN
ejpam-3350	48	9	(	(	PUNCT
ejpam-3350	48	10	0	0	NUM
ejpam-3350	48	11	,	,	PUNCT
ejpam-3350	48	12	l	l	NOUN
ejpam-3350	48	13	)	)	PUNCT
ejpam-3350	48	14	.	.	PUNCT
ejpam-3350	49	1	then	then	ADV
ejpam-3350	49	2	the	the	DET
ejpam-3350	49	3	increment	increment	NOUN
ejpam-3350	49	4	of	of	ADP
ejpam-3350	49	5	the	the	DET
ejpam-3350	49	6	functional	functional	ADJ
ejpam-3350	49	7	(	(	PUNCT
ejpam-3350	49	8	10	10	NUM
ejpam-3350	49	9	)	)	PUNCT
ejpam-3350	49	10	is	be	AUX
ejpam-3350	49	11	computed	compute	VERB
ejpam-3350	49	12	as	as	ADP
ejpam-3350	49	13	∆jα	∆jα	X
ejpam-3350	49	14	(	(	PUNCT
ejpam-3350	49	15	v	v	NOUN
ejpam-3350	49	16	)	)	PUNCT
ejpam-3350	49	17	=	=	NOUN
ejpam-3350	50	1	jα	jα	X
ejpam-3350	50	2	(	(	PUNCT
ejpam-3350	50	3	v	v	NOUN
ejpam-3350	50	4	+	+	X
ejpam-3350	50	5	δv)−	δv)−	ADJ
ejpam-3350	50	6	jα	jα	NOUN
ejpam-3350	50	7	(	(	PUNCT
ejpam-3350	50	8	v	v	NOUN
ejpam-3350	50	9	)	)	PUNCT
ejpam-3350	50	10	=	=	PUNCT
ejpam-3350	51	1	=	=	SYM
ejpam-3350	51	2	1	1	NUM
ejpam-3350	51	3	2	2	NUM
ejpam-3350	51	4	l∫	l∫	NUM
ejpam-3350	51	5	0	0	NUM
ejpam-3350	52	1	[	[	PUNCT
ejpam-3350	52	2	(	(	PUNCT
ejpam-3350	52	3	y	y	PROPN
ejpam-3350	52	4	(	(	PUNCT
ejpam-3350	52	5	x	x	PROPN
ejpam-3350	52	6	,	,	PUNCT
ejpam-3350	52	7	t	t	NOUN
ejpam-3350	52	8	;	;	PUNCT
ejpam-3350	52	9	v1	v1	VERB
ejpam-3350	52	10	+	+	CCONJ
ejpam-3350	52	11	δv1	δv1	ADJ
ejpam-3350	52	12	,	,	PUNCT
ejpam-3350	52	13	w1	w1	NOUN
ejpam-3350	52	14	+	+	CCONJ
ejpam-3350	52	15	δw1)−	δw1)−	ADJ
ejpam-3350	52	16	ϕ1	ϕ1	NOUN
ejpam-3350	52	17	(	(	PUNCT
ejpam-3350	52	18	x))2−	x))2−	X
ejpam-3350	52	19	−	−	PROPN
ejpam-3350	53	1	(	(	PUNCT
ejpam-3350	53	2	y	y	PROPN
ejpam-3350	53	3	(	(	PUNCT
ejpam-3350	53	4	x	x	PROPN
ejpam-3350	53	5	,	,	PUNCT
ejpam-3350	53	6	t	t	PROPN
ejpam-3350	53	7	;	;	PUNCT
ejpam-3350	53	8	v1	v1	PROPN
ejpam-3350	53	9	,	,	PUNCT
ejpam-3350	53	10	w1)−	w1)−	NOUN
ejpam-3350	53	11	ϕ1	ϕ1	NOUN
ejpam-3350	53	12	(	(	PUNCT
ejpam-3350	53	13	x))2	x))2	X
ejpam-3350	53	14	+	+	PUNCT
ejpam-3350	53	15	(	(	PUNCT
ejpam-3350	53	16	θ	θ	PROPN
ejpam-3350	53	17	(	(	PUNCT
ejpam-3350	53	18	x	x	PROPN
ejpam-3350	53	19	,	,	PUNCT
ejpam-3350	53	20	t	t	NOUN
ejpam-3350	53	21	;	;	PUNCT
ejpam-3350	53	22	v1	v1	VERB
ejpam-3350	53	23	+	+	CCONJ
ejpam-3350	53	24	δv1	δv1	ADJ
ejpam-3350	53	25	,	,	PUNCT
ejpam-3350	53	26	w1	w1	NOUN
ejpam-3350	53	27	+	+	CCONJ
ejpam-3350	53	28	δw1)−	δw1)−	ADJ
ejpam-3350	53	29	ϕ2	ϕ2	ADV
ejpam-3350	53	30	(	(	PUNCT
ejpam-3350	53	31	x))2−	x))2−	X
ejpam-3350	54	1	−	−	PROPN
ejpam-3350	54	2	(	(	PUNCT
ejpam-3350	54	3	θ	θ	PROPN
ejpam-3350	54	4	(	(	PUNCT
ejpam-3350	54	5	x	x	PROPN
ejpam-3350	54	6	,	,	PUNCT
ejpam-3350	54	7	t	t	PROPN
ejpam-3350	54	8	;	;	PUNCT
ejpam-3350	54	9	v1	v1	NOUN
ejpam-3350	54	10	,	,	PUNCT
ejpam-3350	54	11	w1)−	w1)−	VERB
ejpam-3350	54	12	ϕ2	ϕ2	ADV
ejpam-3350	54	13	(	(	PUNCT
ejpam-3350	54	14	x))2	x))2	PROPN
ejpam-3350	54	15	]	]	X
ejpam-3350	54	16	dx+	dx+	NOUN
ejpam-3350	55	1	+	+	CCONJ
ejpam-3350	55	2	α	α	PROPN
ejpam-3350	55	3	2	2	NUM
ejpam-3350	55	4	(	(	PUNCT
ejpam-3350	55	5	‖v1	‖v1	X
ejpam-3350	55	6	+	+	NUM
ejpam-3350	55	7	δv1‖2l2(0,l	δv1‖2l2(0,l	ADJ
ejpam-3350	55	8	)	)	PUNCT
ejpam-3350	55	9	−	−	PRON
ejpam-3350	55	10	‖v1‖2l2(0,l	‖v1‖2l2(0,l	PROPN
ejpam-3350	55	11	)	)	PUNCT
ejpam-3350	55	12	)	)	PUNCT
ejpam-3350	56	1	+	+	CCONJ
ejpam-3350	57	1	α	α	NOUN
ejpam-3350	57	2	2	2	NUM
ejpam-3350	57	3	(	(	PUNCT
ejpam-3350	57	4	‖w1	‖w1	CCONJ
ejpam-3350	57	5	+	+	NUM
ejpam-3350	57	6	δw1‖2l2(0,l	δw1‖2l2(0,l	ADJ
ejpam-3350	57	7	)	)	PUNCT
ejpam-3350	57	8	)	)	PUNCT
ejpam-3350	57	9	,	,	PUNCT
ejpam-3350	57	10	(	(	PUNCT
ejpam-3350	57	11	16	16	NUM
ejpam-3350	57	12	)	)	PUNCT
ejpam-3350	57	13	where	where	SCONJ
ejpam-3350	57	14	y	y	PROPN
ejpam-3350	57	15	(	(	PUNCT
ejpam-3350	57	16	x	x	PROPN
ejpam-3350	57	17	,	,	PUNCT
ejpam-3350	57	18	t	t	PROPN
ejpam-3350	57	19	;	;	PUNCT
ejpam-3350	57	20	v	v	NUM
ejpam-3350	57	21	(	(	PUNCT
ejpam-3350	57	22	x	x	NOUN
ejpam-3350	57	23	)	)	PUNCT
ejpam-3350	57	24	+	+	CCONJ
ejpam-3350	57	25	δv	δv	ADV
ejpam-3350	57	26	(	(	PUNCT
ejpam-3350	57	27	x	x	NOUN
ejpam-3350	57	28	)	)	PUNCT
ejpam-3350	57	29	)	)	PUNCT
ejpam-3350	58	1	=	=	SYM
ejpam-3350	58	2	y	y	PROPN
ejpam-3350	58	3	(	(	PUNCT
ejpam-3350	58	4	x	x	PROPN
ejpam-3350	58	5	,	,	PUNCT
ejpam-3350	58	6	t	t	PROPN
ejpam-3350	58	7	;	;	PUNCT
ejpam-3350	58	8	v	v	NOUN
ejpam-3350	58	9	)	)	PUNCT
ejpam-3350	58	10	+	+	CCONJ
ejpam-3350	58	11	δy(x	δy(x	NOUN
ejpam-3350	58	12	,	,	PUNCT
ejpam-3350	58	13	t	t	PROPN
ejpam-3350	58	14	)	)	PUNCT
ejpam-3350	58	15	θ	θ	PROPN
ejpam-3350	58	16	(	(	PUNCT
ejpam-3350	58	17	x	x	PROPN
ejpam-3350	58	18	,	,	PUNCT
ejpam-3350	58	19	t	t	PROPN
ejpam-3350	58	20	;	;	PUNCT
ejpam-3350	58	21	v	v	NUM
ejpam-3350	58	22	(	(	PUNCT
ejpam-3350	58	23	x	x	NOUN
ejpam-3350	58	24	)	)	PUNCT
ejpam-3350	58	25	+	+	CCONJ
ejpam-3350	58	26	δv	δv	ADV
ejpam-3350	58	27	(	(	PUNCT
ejpam-3350	58	28	x	x	NOUN
ejpam-3350	58	29	)	)	PUNCT
ejpam-3350	58	30	)	)	PUNCT
ejpam-3350	59	1	=	=	SYM
ejpam-3350	59	2	θ	θ	PROPN
ejpam-3350	59	3	(	(	PUNCT
ejpam-3350	59	4	x	x	PROPN
ejpam-3350	59	5	,	,	PUNCT
ejpam-3350	59	6	t	t	PROPN
ejpam-3350	59	7	;	;	PUNCT
ejpam-3350	59	8	v	v	NOUN
ejpam-3350	59	9	)	)	PUNCT
ejpam-3350	59	10	+	+	NUM
ejpam-3350	59	11	δθ(x	δθ(x	NUM
ejpam-3350	59	12	,	,	PUNCT
ejpam-3350	59	13	t	t	PROPN
ejpam-3350	59	14	)	)	PUNCT
ejpam-3350	59	15	.	.	PUNCT
ejpam-3350	60	1	hence	hence	ADV
ejpam-3350	60	2	it	it	PRON
ejpam-3350	60	3	follows	follow	VERB
ejpam-3350	60	4	that	that	SCONJ
ejpam-3350	60	5	∆jα	∆jα	X
ejpam-3350	60	6	(	(	PUNCT
ejpam-3350	60	7	v	v	NOUN
ejpam-3350	60	8	)	)	PUNCT
ejpam-3350	60	9	=	=	SYM
ejpam-3350	61	1	∫	∫	PROPN
ejpam-3350	61	2	l	l	NOUN
ejpam-3350	61	3	0	0	PUNCT
ejpam-3350	62	1	[	[	X
ejpam-3350	62	2	(	(	PUNCT
ejpam-3350	62	3	y	y	PROPN
ejpam-3350	62	4	(	(	PUNCT
ejpam-3350	62	5	x	x	PROPN
ejpam-3350	62	6	,	,	PUNCT
ejpam-3350	62	7	t	t	PROPN
ejpam-3350	62	8	;	;	PUNCT
ejpam-3350	62	9	v)−	v)−	PROPN
ejpam-3350	62	10	ϕ1	ϕ1	NOUN
ejpam-3350	62	11	(	(	PUNCT
ejpam-3350	62	12	x	x	NOUN
ejpam-3350	62	13	)	)	PUNCT
ejpam-3350	62	14	)	)	PUNCT
ejpam-3350	62	15	δy	δy	NOUN
ejpam-3350	62	16	(	(	PUNCT
ejpam-3350	62	17	x	x	PROPN
ejpam-3350	62	18	,	,	PUNCT
ejpam-3350	62	19	t	t	PROPN
ejpam-3350	62	20	)	)	PUNCT
ejpam-3350	63	1	+	+	CCONJ
ejpam-3350	63	2	(	(	PUNCT
ejpam-3350	63	3	θ	θ	PROPN
ejpam-3350	63	4	(	(	PUNCT
ejpam-3350	63	5	x	x	PROPN
ejpam-3350	63	6	,	,	PUNCT
ejpam-3350	63	7	t	t	PROPN
ejpam-3350	63	8	;	;	PUNCT
ejpam-3350	63	9	v)−	v)−	PROPN
ejpam-3350	63	10	ϕ2	ϕ2	ADV
ejpam-3350	63	11	(	(	PUNCT
ejpam-3350	63	12	x	x	NOUN
ejpam-3350	63	13	)	)	PUNCT
ejpam-3350	63	14	)	)	PUNCT
ejpam-3350	63	15	δθ	δθ	PROPN
ejpam-3350	63	16	(	(	PUNCT
ejpam-3350	63	17	x	x	PROPN
ejpam-3350	63	18	,	,	PUNCT
ejpam-3350	63	19	t	t	PROPN
ejpam-3350	63	20	)	)	PUNCT
ejpam-3350	63	21	]	]	PUNCT
ejpam-3350	64	1	dx+	dx+	PROPN
ejpam-3350	65	1	+	+	NOUN
ejpam-3350	65	2	α	α	NOUN
ejpam-3350	65	3	∫	∫	PROPN
ejpam-3350	65	4	l	l	NOUN
ejpam-3350	65	5	0	0	PUNCT
ejpam-3350	65	6	(	(	PUNCT
ejpam-3350	65	7	v1δv1+w1δw1)dx+r	v1δv1+w1δw1)dx+r	NUM
ejpam-3350	65	8	,	,	PUNCT
ejpam-3350	65	9	(	(	PUNCT
ejpam-3350	65	10	17	17	NUM
ejpam-3350	65	11	)	)	PUNCT
ejpam-3350	65	12	where	where	SCONJ
ejpam-3350	65	13	r	r	NOUN
ejpam-3350	65	14	=	=	SYM
ejpam-3350	65	15	1	1	NUM
ejpam-3350	65	16	2	2	NUM
ejpam-3350	65	17	∫	∫	NOUN
ejpam-3350	65	18	l	l	NOUN
ejpam-3350	65	19	0	0	PUNCT
ejpam-3350	66	1	[	[	PUNCT
ejpam-3350	66	2	(	(	PUNCT
ejpam-3350	66	3	δy	δy	INTJ
ejpam-3350	66	4	(	(	PUNCT
ejpam-3350	66	5	x	x	PROPN
ejpam-3350	66	6	,	,	PUNCT
ejpam-3350	66	7	t	t	NOUN
ejpam-3350	66	8	)	)	PUNCT
ejpam-3350	66	9	)	)	PUNCT
ejpam-3350	66	10	2	2	NUM
ejpam-3350	67	1	+	+	CCONJ
ejpam-3350	67	2	(	(	PUNCT
ejpam-3350	67	3	δθ	δθ	PART
ejpam-3350	67	4	(	(	PUNCT
ejpam-3350	67	5	x	x	PROPN
ejpam-3350	67	6	,	,	PUNCT
ejpam-3350	67	7	t	t	NOUN
ejpam-3350	67	8	)	)	PUNCT
ejpam-3350	67	9	)	)	PUNCT
ejpam-3350	67	10	2	2	NUM
ejpam-3350	67	11	]	]	PUNCT
ejpam-3350	67	12	dx+	dx+	NOUN
ejpam-3350	67	13	α	α	NOUN
ejpam-3350	67	14	2	2	NUM
ejpam-3350	67	15	(	(	PUNCT
ejpam-3350	67	16	∫	∫	PROPN
ejpam-3350	67	17	l	l	NOUN
ejpam-3350	67	18	0	0	PUNCT
ejpam-3350	67	19	(	(	PUNCT
ejpam-3350	67	20	(	(	PUNCT
ejpam-3350	67	21	δv1	δv1	ADJ
ejpam-3350	67	22	)	)	PUNCT
ejpam-3350	67	23	2+(δw1	2+(δw1	NUM
ejpam-3350	67	24	)	)	PUNCT
ejpam-3350	67	25	2)dx	2)dx	NOUN
ejpam-3350	67	26	)	)	PUNCT
ejpam-3350	67	27	and	and	CCONJ
ejpam-3350	67	28	(	(	PUNCT
ejpam-3350	67	29	δy	δy	PROPN
ejpam-3350	67	30	(	(	PUNCT
ejpam-3350	67	31	x	x	PROPN
ejpam-3350	67	32	,	,	PUNCT
ejpam-3350	67	33	t	t	PROPN
ejpam-3350	67	34	)	)	PUNCT
ejpam-3350	67	35	,	,	PUNCT
ejpam-3350	67	36	δθ	δθ	PROPN
ejpam-3350	67	37	(	(	PUNCT
ejpam-3350	67	38	x	x	PROPN
ejpam-3350	67	39	,	,	PUNCT
ejpam-3350	67	40	t	t	PROPN
ejpam-3350	67	41	)	)	PUNCT
ejpam-3350	67	42	)	)	PUNCT
ejpam-3350	67	43	∈w	∈w	VERB
ejpam-3350	67	44	2,1	2,1	NUM
ejpam-3350	67	45	2	2	NUM
ejpam-3350	67	46	(	(	PUNCT
ejpam-3350	67	47	q)×w	q)×w	PROPN
ejpam-3350	67	48	2,1	2,1	NUM
ejpam-3350	67	49	2	2	NUM
ejpam-3350	67	50	(	(	PUNCT
ejpam-3350	67	51	q	q	NOUN
ejpam-3350	67	52	)	)	PUNCT
ejpam-3350	67	53	is	be	AUX
ejpam-3350	67	54	the	the	DET
ejpam-3350	67	55	generalized	generalized	ADJ
ejpam-3350	67	56	solution	solution	NOUN
ejpam-3350	67	57	of	of	ADP
ejpam-3350	67	58	the	the	DET
ejpam-3350	67	59	∂2	∂2	PROPN
ejpam-3350	67	60	∂x2	∂x2	NOUN
ejpam-3350	67	61	(	(	PUNCT
ejpam-3350	67	62	e	e	X
ejpam-3350	67	63	(	(	PUNCT
ejpam-3350	67	64	x	x	X
ejpam-3350	67	65	)	)	PUNCT
ejpam-3350	67	66	i	i	PRON
ejpam-3350	67	67	(	(	PUNCT
ejpam-3350	67	68	x	x	NOUN
ejpam-3350	67	69	)	)	PUNCT
ejpam-3350	67	70	∂2δy	∂2δy	PUNCT
ejpam-3350	67	71	∂x2	∂x2	NOUN
ejpam-3350	67	72	)	)	PUNCT
ejpam-3350	68	1	+	+	CCONJ
ejpam-3350	68	2	ρ	ρ	PROPN
ejpam-3350	68	3	(	(	PUNCT
ejpam-3350	68	4	x)a	x)a	X
ejpam-3350	68	5	(	(	PUNCT
ejpam-3350	68	6	x	x	X
ejpam-3350	68	7	)	)	PUNCT
ejpam-3350	68	8	∂2δy	∂2δy	NUM
ejpam-3350	68	9	∂t2	∂t2	NOUN
ejpam-3350	68	10	−	−	PROPN
ejpam-3350	68	11	−ρ	−ρ	NOUN
ejpam-3350	68	12	(	(	PUNCT
ejpam-3350	68	13	x)a	x)a	X
ejpam-3350	68	14	(	(	PUNCT
ejpam-3350	68	15	x	x	X
ejpam-3350	68	16	)	)	PUNCT
ejpam-3350	68	17	e	e	NOUN
ejpam-3350	68	18	(	(	PUNCT
ejpam-3350	68	19	x	x	NOUN
ejpam-3350	68	20	)	)	PUNCT
ejpam-3350	68	21	∂2δθ	∂2δθ	ADJ
ejpam-3350	68	22	∂t2	∂t2	NOUN
ejpam-3350	68	23	=	=	SYM
ejpam-3350	68	24	0	0	NUM
ejpam-3350	68	25	,	,	PUNCT
ejpam-3350	68	26	(	(	PUNCT
ejpam-3350	68	27	x	x	NOUN
ejpam-3350	68	28	,	,	PUNCT
ejpam-3350	68	29	t	t	PROPN
ejpam-3350	68	30	)	)	PUNCT
ejpam-3350	68	31	∈	∈	PROPN
ejpam-3350	69	1	q	q	NOUN
ejpam-3350	69	2	,	,	PUNCT
ejpam-3350	69	3	(	(	PUNCT
ejpam-3350	69	4	18	18	NUM
ejpam-3350	69	5	)	)	PUNCT
ejpam-3350	69	6	a.t	a.t	PROPN
ejpam-3350	69	7	.	.	PROPN
ejpam-3350	69	8	ramazanova	ramazanova	PROPN
ejpam-3350	69	9	/	/	SYM
ejpam-3350	69	10	eur	eur	PROPN
ejpam-3350	69	11	.	.	PUNCT
ejpam-3350	70	1	j.	j.	PROPN
ejpam-3350	70	2	pure	pure	PROPN
ejpam-3350	70	3	appl	appl	PROPN
ejpam-3350	70	4	.	.	PROPN
ejpam-3350	70	5	math	math	PROPN
ejpam-3350	70	6	,	,	PUNCT
ejpam-3350	70	7	12	12	NUM
ejpam-3350	70	8	(	(	PUNCT
ejpam-3350	70	9	1	1	NUM
ejpam-3350	70	10	)	)	PUNCT
ejpam-3350	70	11	(	(	PUNCT
ejpam-3350	70	12	2019	2019	NUM
ejpam-3350	70	13	)	)	PUNCT
ejpam-3350	70	14	,	,	PUNCT
ejpam-3350	70	15	25	25	NUM
ejpam-3350	70	16	-	-	SYM
ejpam-3350	70	17	38	38	NUM
ejpam-3350	70	18	29	29	NUM
ejpam-3350	70	19	∂2	∂2	PROPN
ejpam-3350	70	20	∂x2	∂x2	NOUN
ejpam-3350	70	21	(	(	PUNCT
ejpam-3350	70	22	e	e	X
ejpam-3350	70	23	(	(	PUNCT
ejpam-3350	70	24	x)cw	x)cw	PROPN
ejpam-3350	70	25	(	(	PUNCT
ejpam-3350	70	26	x	x	NOUN
ejpam-3350	70	27	)	)	PUNCT
ejpam-3350	70	28	∂2δθ	∂2δθ	ADJ
ejpam-3350	70	29	∂x2	∂x2	NOUN
ejpam-3350	70	30	)	)	PUNCT
ejpam-3350	70	31	−g	−g	NOUN
ejpam-3350	70	32	(	(	PUNCT
ejpam-3350	70	33	x)c	x)c	X
ejpam-3350	70	34	(	(	PUNCT
ejpam-3350	70	35	x	x	X
ejpam-3350	70	36	)	)	PUNCT
ejpam-3350	70	37	∂2δθ	∂2δθ	ADJ
ejpam-3350	70	38	∂x2	∂x2	NOUN
ejpam-3350	70	39	−	−	NOUN
ejpam-3350	70	40	−ρ	−ρ	NOUN
ejpam-3350	70	41	(	(	PUNCT
ejpam-3350	70	42	x)a	x)a	X
ejpam-3350	70	43	(	(	PUNCT
ejpam-3350	70	44	x	x	X
ejpam-3350	70	45	)	)	PUNCT
ejpam-3350	70	46	e	e	NOUN
ejpam-3350	70	47	(	(	PUNCT
ejpam-3350	70	48	x	x	NOUN
ejpam-3350	70	49	)	)	PUNCT
ejpam-3350	70	50	∂2δy	∂2δy	NUM
ejpam-3350	70	51	∂t2	∂t2	NOUN
ejpam-3350	71	1	+	+	CCONJ
ejpam-3350	71	2	ρ	ρ	PROPN
ejpam-3350	71	3	(	(	PUNCT
ejpam-3350	71	4	x	x	NOUN
ejpam-3350	71	5	)	)	PUNCT
ejpam-3350	71	6	(	(	PUNCT
ejpam-3350	71	7	i	i	PRON
ejpam-3350	71	8	(	(	PUNCT
ejpam-3350	71	9	x	x	X
ejpam-3350	71	10	)	)	PUNCT
ejpam-3350	72	1	+	+	ADP
ejpam-3350	72	2	a	a	DET
ejpam-3350	72	3	(	(	PUNCT
ejpam-3350	72	4	x	x	NOUN
ejpam-3350	72	5	)	)	PUNCT
ejpam-3350	72	6	e2	e2	PROPN
ejpam-3350	72	7	(	(	PUNCT
ejpam-3350	72	8	x	x	NOUN
ejpam-3350	72	9	)	)	PUNCT
ejpam-3350	72	10	)	)	PUNCT
ejpam-3350	72	11	∂2δθ	∂2δθ	ADJ
ejpam-3350	72	12	∂t2	∂t2	NOUN
ejpam-3350	72	13	=	=	SYM
ejpam-3350	72	14	0	0	NUM
ejpam-3350	72	15	,	,	PUNCT
ejpam-3350	72	16	(	(	PUNCT
ejpam-3350	72	17	x	x	NOUN
ejpam-3350	72	18	,	,	PUNCT
ejpam-3350	72	19	t	t	PROPN
ejpam-3350	72	20	)	)	PUNCT
ejpam-3350	72	21	∈	∈	PROPN
ejpam-3350	72	22	q	q	X
ejpam-3350	72	23	,	,	PUNCT
ejpam-3350	72	24	(	(	PUNCT
ejpam-3350	72	25	19	19	NUM
ejpam-3350	72	26	)	)	PUNCT
ejpam-3350	72	27	δy|x=0	δy|x=0	NOUN
ejpam-3350	72	28	=	=	PUNCT
ejpam-3350	72	29	δy|x	δy|x	NOUN
ejpam-3350	72	30	=	=	NOUN
ejpam-3350	72	31	l	l	NOUN
ejpam-3350	72	32	=	=	SYM
ejpam-3350	72	33	0	0	NUM
ejpam-3350	72	34	,	,	PUNCT
ejpam-3350	72	35	∂δy	∂δy	PROPN
ejpam-3350	72	36	∂x	∂x	PROPN
ejpam-3350	72	37	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	72	38	x=0	x=0	PUNCT
ejpam-3350	73	1	=	=	SYM
ejpam-3350	73	2	∂δy	∂δy	PROPN
ejpam-3350	73	3	∂x	∂x	PROPN
ejpam-3350	73	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	73	5	x	x	SYM
ejpam-3350	73	6	=	=	NOUN
ejpam-3350	73	7	l	l	NOUN
ejpam-3350	73	8	=	=	SYM
ejpam-3350	73	9	0	0	NUM
ejpam-3350	73	10	,	,	PUNCT
ejpam-3350	73	11	0	0	NUM
ejpam-3350	73	12	≤	≤	NUM
ejpam-3350	73	13	t	t	PROPN
ejpam-3350	73	14	≤	≤	PROPN
ejpam-3350	73	15	t	t	PROPN
ejpam-3350	73	16	,	,	PUNCT
ejpam-3350	73	17	(	(	PUNCT
ejpam-3350	73	18	20	20	NUM
ejpam-3350	73	19	)	)	PUNCT
ejpam-3350	73	20	δθ|x=0	δθ|x=0	NOUN
ejpam-3350	73	21	=	=	PUNCT
ejpam-3350	73	22	δθ|x	δθ|x	PROPN
ejpam-3350	73	23	=	=	NOUN
ejpam-3350	73	24	l	l	NOUN
ejpam-3350	73	25	=	=	SYM
ejpam-3350	73	26	0	0	NUM
ejpam-3350	73	27	,	,	PUNCT
ejpam-3350	73	28	∂δθ	∂δθ	PROPN
ejpam-3350	73	29	∂x	∂x	PROPN
ejpam-3350	73	30	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	73	31	x=0	x=0	PUNCT
ejpam-3350	73	32	=	=	SYM
ejpam-3350	73	33	∂δθ	∂δθ	PROPN
ejpam-3350	73	34	∂x	∂x	PROPN
ejpam-3350	73	35	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	73	36	x	x	SYM
ejpam-3350	73	37	=	=	NOUN
ejpam-3350	73	38	l	l	NOUN
ejpam-3350	73	39	=	=	SYM
ejpam-3350	73	40	0	0	NUM
ejpam-3350	73	41	,	,	PUNCT
ejpam-3350	73	42	0	0	NUM
ejpam-3350	73	43	≤	≤	NUM
ejpam-3350	73	44	t	t	PROPN
ejpam-3350	73	45	≤	≤	PROPN
ejpam-3350	73	46	t	t	PROPN
ejpam-3350	73	47	,	,	PUNCT
ejpam-3350	73	48	(	(	PUNCT
ejpam-3350	73	49	21	21	NUM
ejpam-3350	73	50	)	)	PUNCT
ejpam-3350	73	51	δy|t=0	δy|t=0	NOUN
ejpam-3350	73	52	=	=	SYM
ejpam-3350	73	53	0	0	PROPN
ejpam-3350	73	54	,	,	PUNCT
ejpam-3350	73	55	∂δy	∂δy	PROPN
ejpam-3350	73	56	∂t	∂t	PROPN
ejpam-3350	73	57	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	73	58	t=0	t=0	VERB
ejpam-3350	74	1	=	=	PUNCT
ejpam-3350	74	2	δv1	δv1	X
ejpam-3350	74	3	(	(	PUNCT
ejpam-3350	74	4	x	x	NOUN
ejpam-3350	74	5	)	)	PUNCT
ejpam-3350	74	6	,	,	PUNCT
ejpam-3350	74	7	δθ|t=0	δθ|t=0	PRON
ejpam-3350	74	8	=	=	SYM
ejpam-3350	74	9	0	0	NUM
ejpam-3350	74	10	,	,	PUNCT
ejpam-3350	74	11	∂δθ	∂δθ	PROPN
ejpam-3350	74	12	∂t	∂t	PROPN
ejpam-3350	74	13	|t=0	|t=0	PROPN
ejpam-3350	74	14	=	=	PUNCT
ejpam-3350	74	15	δw1	δw1	NOUN
ejpam-3350	74	16	(	(	PUNCT
ejpam-3350	74	17	x	x	NOUN
ejpam-3350	74	18	)	)	PUNCT
ejpam-3350	74	19	,	,	PUNCT
ejpam-3350	74	20	0	0	NUM
ejpam-3350	74	21	≤	≤	NUM
ejpam-3350	74	22	x	x	SYM
ejpam-3350	74	23	≤	≤	NUM
ejpam-3350	74	24	l	l	NOUN
ejpam-3350	74	25	(	(	PUNCT
ejpam-3350	74	26	22	22	NUM
ejpam-3350	74	27	)	)	PUNCT
ejpam-3350	74	28	i.e.	i.e.	X
ejpam-3350	74	29	for	for	ADP
ejpam-3350	74	30	any	any	DET
ejpam-3350	74	31	function	function	NOUN
ejpam-3350	74	32	∀	∀	NOUN
ejpam-3350	74	33	η1	η1	NOUN
ejpam-3350	74	34	=	=	SYM
ejpam-3350	74	35	η1	η1	NOUN
ejpam-3350	74	36	(	(	PUNCT
ejpam-3350	74	37	x	x	NOUN
ejpam-3350	74	38	,	,	PUNCT
ejpam-3350	74	39	t	t	PROPN
ejpam-3350	74	40	)	)	PUNCT
ejpam-3350	74	41	,	,	PUNCT
ejpam-3350	74	42	η2	η2	PROPN
ejpam-3350	74	43	=	=	SYM
ejpam-3350	74	44	η2	η2	X
ejpam-3350	74	45	(	(	PUNCT
ejpam-3350	74	46	x	x	NOUN
ejpam-3350	74	47	,	,	PUNCT
ejpam-3350	74	48	t	t	PROPN
ejpam-3350	74	49	)	)	PUNCT
ejpam-3350	74	50	∈w	∈w	VERB
ejpam-3350	74	51	2,1	2,1	NUM
ejpam-3350	74	52	2	2	NUM
ejpam-3350	74	53	(	(	PUNCT
ejpam-3350	74	54	q	q	NOUN
ejpam-3350	74	55	)	)	PUNCT
ejpam-3350	74	56	,	,	PUNCT
ejpam-3350	74	57	η1|x=0	η1|x=0	PUNCT
ejpam-3350	74	58	=	=	SYM
ejpam-3350	74	59	η1|x	η1|x	NOUN
ejpam-3350	74	60	=	=	PROPN
ejpam-3350	74	61	l	l	NOUN
ejpam-3350	74	62	=	=	SYM
ejpam-3350	74	63	0	0	NUM
ejpam-3350	74	64	,	,	PUNCT
ejpam-3350	74	65	∂η1	∂η1	PROPN
ejpam-3350	74	66	∂x	∂x	PROPN
ejpam-3350	74	67	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	74	68	x=0	x=0	PROPN
ejpam-3350	74	69	=	=	SYM
ejpam-3350	74	70	∂η1	∂η1	PROPN
ejpam-3350	74	71	∂x	∂x	PROPN
ejpam-3350	74	72	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	74	73	x	x	SYM
ejpam-3350	74	74	=	=	NOUN
ejpam-3350	74	75	l	l	NOUN
ejpam-3350	74	76	=	=	SYM
ejpam-3350	74	77	0	0	NUM
ejpam-3350	74	78	,	,	PUNCT
ejpam-3350	74	79	0≤t≤t	0≤t≤t	NUM
ejpam-3350	74	80	,	,	PUNCT
ejpam-3350	74	81	η2|x=0	η2|x=0	NOUN
ejpam-3350	74	82	=	=	SYM
ejpam-3350	74	83	η2|x	η2|x	NOUN
ejpam-3350	74	84	=	=	NOUN
ejpam-3350	74	85	l	l	NOUN
ejpam-3350	74	86	=	=	SYM
ejpam-3350	74	87	0	0	NUM
ejpam-3350	74	88	,	,	PUNCT
ejpam-3350	74	89	∂η2	∂η2	VERB
ejpam-3350	74	90	∂x	∂x	PROPN
ejpam-3350	74	91	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	74	92	x=0	x=0	PUNCT
ejpam-3350	75	1	=	=	SYM
ejpam-3350	75	2	∂η2	∂η2	VERB
ejpam-3350	75	3	∂x	∂x	PROPN
ejpam-3350	75	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	75	5	x	x	SYM
ejpam-3350	75	6	=	=	NOUN
ejpam-3350	75	7	l	l	NOUN
ejpam-3350	75	8	=	=	SYM
ejpam-3350	75	9	0	0	NUM
ejpam-3350	75	10	,	,	PUNCT
ejpam-3350	75	11	0≤t≤t	0≤t≤t	NUM
ejpam-3350	75	12	,	,	PUNCT
ejpam-3350	75	13	the	the	DET
ejpam-3350	75	14	following	follow	VERB
ejpam-3350	75	15	integral	integral	ADJ
ejpam-3350	75	16	identities	identity	NOUN
ejpam-3350	75	17	are	be	AUX
ejpam-3350	75	18	fulfilled∫∫	fulfilled∫∫	PROPN
ejpam-3350	75	19	q	q	X
ejpam-3350	75	20	(	(	PUNCT
ejpam-3350	75	21	e	e	X
ejpam-3350	75	22	(	(	PUNCT
ejpam-3350	75	23	x	x	X
ejpam-3350	75	24	)	)	PUNCT
ejpam-3350	75	25	i	i	PRON
ejpam-3350	75	26	(	(	PUNCT
ejpam-3350	75	27	x	x	NOUN
ejpam-3350	75	28	)	)	PUNCT
ejpam-3350	75	29	∂2δy	∂2δy	PUNCT
ejpam-3350	75	30	∂x2	∂x2	NOUN
ejpam-3350	75	31	∂2η1	∂2η1	ADP
ejpam-3350	75	32	∂x2	∂x2	NOUN
ejpam-3350	75	33	−	−	PROPN
ejpam-3350	75	34	ρ	ρ	PROPN
ejpam-3350	75	35	(	(	PUNCT
ejpam-3350	75	36	x)a	x)a	X
ejpam-3350	75	37	(	(	PUNCT
ejpam-3350	75	38	x	x	X
ejpam-3350	75	39	)	)	PUNCT
ejpam-3350	75	40	∂δy	∂δy	PROPN
ejpam-3350	75	41	∂t	∂t	PROPN
ejpam-3350	75	42	∂η1	∂η1	PROPN
ejpam-3350	75	43	∂t	∂t	PROPN
ejpam-3350	76	1	+	+	CCONJ
ejpam-3350	76	2	ρ	ρ	PROPN
ejpam-3350	76	3	(	(	PUNCT
ejpam-3350	76	4	x)a	x)a	X
ejpam-3350	76	5	(	(	PUNCT
ejpam-3350	76	6	x	x	X
ejpam-3350	76	7	)	)	PUNCT
ejpam-3350	76	8	e	e	NOUN
ejpam-3350	76	9	(	(	PUNCT
ejpam-3350	76	10	x	x	X
ejpam-3350	76	11	)	)	PUNCT
ejpam-3350	76	12	∂δθ	∂δθ	PROPN
ejpam-3350	76	13	∂t	∂t	PROPN
ejpam-3350	77	1	∂η1	∂η1	PROPN
ejpam-3350	77	2	∂t	∂t	PROPN
ejpam-3350	77	3	)	)	PUNCT
ejpam-3350	78	1	dxdt+	dxdt+	X
ejpam-3350	79	1	+	+	NUM
ejpam-3350	79	2	∫	∫	PROPN
ejpam-3350	79	3	l	l	NOUN
ejpam-3350	79	4	0	0	NUM
ejpam-3350	79	5	ρ	ρ	PROPN
ejpam-3350	79	6	(	(	PUNCT
ejpam-3350	79	7	x)a	x)a	X
ejpam-3350	79	8	(	(	PUNCT
ejpam-3350	79	9	x	x	X
ejpam-3350	79	10	)	)	PUNCT
ejpam-3350	79	11	∂δy	∂δy	PROPN
ejpam-3350	79	12	∂t	∂t	PROPN
ejpam-3350	79	13	η1|t0	η1|t0	PROPN
ejpam-3350	80	1	dx−	dx−	X
ejpam-3350	80	2	∫	∫	PROPN
ejpam-3350	80	3	l	l	NOUN
ejpam-3350	80	4	0	0	NUM
ejpam-3350	80	5	ρ	ρ	PROPN
ejpam-3350	80	6	(	(	PUNCT
ejpam-3350	80	7	x)a	x)a	X
ejpam-3350	80	8	(	(	PUNCT
ejpam-3350	80	9	x	x	X
ejpam-3350	80	10	)	)	PUNCT
ejpam-3350	80	11	e	e	NOUN
ejpam-3350	80	12	(	(	PUNCT
ejpam-3350	80	13	x	x	X
ejpam-3350	80	14	)	)	PUNCT
ejpam-3350	80	15	∂δθ	∂δθ	PROPN
ejpam-3350	80	16	∂t	∂t	PROPN
ejpam-3350	80	17	η1|t0	η1|t0	PROPN
ejpam-3350	80	18	dx=	dx=	PROPN
ejpam-3350	80	19	0	0	NUM
ejpam-3350	80	20	,	,	PUNCT
ejpam-3350	80	21	(	(	PUNCT
ejpam-3350	80	22	23	23	X
ejpam-3350	80	23	)	)	PUNCT
ejpam-3350	81	1	∫∫	∫∫	ADV
ejpam-3350	81	2	q	q	NOUN
ejpam-3350	81	3	(	(	PUNCT
ejpam-3350	81	4	e	e	X
ejpam-3350	81	5	(	(	PUNCT
ejpam-3350	81	6	x)cw	x)cw	PROPN
ejpam-3350	81	7	(	(	PUNCT
ejpam-3350	81	8	x	x	NOUN
ejpam-3350	81	9	)	)	PUNCT
ejpam-3350	81	10	∂2δθ	∂2δθ	ADJ
ejpam-3350	81	11	∂x2	∂x2	NOUN
ejpam-3350	81	12	∂2η2	∂2η2	ADP
ejpam-3350	82	1	∂x2	∂x2	NOUN
ejpam-3350	82	2	−	−	NOUN
ejpam-3350	82	3	g	g	PROPN
ejpam-3350	82	4	(	(	PUNCT
ejpam-3350	82	5	x)c	x)c	X
ejpam-3350	82	6	(	(	PUNCT
ejpam-3350	82	7	x	x	X
ejpam-3350	82	8	)	)	PUNCT
ejpam-3350	82	9	∂2η2	∂2η2	ADP
ejpam-3350	82	10	∂x2	∂x2	NOUN
ejpam-3350	82	11	δθ+	δθ+	VERB
ejpam-3350	82	12	+	+	X
ejpam-3350	82	13	ρ	ρ	PROPN
ejpam-3350	82	14	(	(	PUNCT
ejpam-3350	82	15	x)a	x)a	X
ejpam-3350	82	16	(	(	PUNCT
ejpam-3350	82	17	x	x	X
ejpam-3350	82	18	)	)	PUNCT
ejpam-3350	82	19	e	e	NOUN
ejpam-3350	82	20	(	(	PUNCT
ejpam-3350	82	21	x	x	X
ejpam-3350	82	22	)	)	PUNCT
ejpam-3350	82	23	∂δy	∂δy	PROPN
ejpam-3350	82	24	∂t	∂t	PROPN
ejpam-3350	82	25	∂η2	∂η2	VERB
ejpam-3350	82	26	∂t	∂t	PROPN
ejpam-3350	82	27	−	−	PROPN
ejpam-3350	82	28	ρ	ρ	PROPN
ejpam-3350	82	29	(	(	PUNCT
ejpam-3350	82	30	x	x	NOUN
ejpam-3350	82	31	)	)	PUNCT
ejpam-3350	82	32	(	(	PUNCT
ejpam-3350	82	33	i	i	PRON
ejpam-3350	82	34	(	(	PUNCT
ejpam-3350	82	35	x	x	X
ejpam-3350	82	36	)	)	PUNCT
ejpam-3350	83	1	+	+	ADP
ejpam-3350	83	2	a	a	DET
ejpam-3350	83	3	(	(	PUNCT
ejpam-3350	83	4	x	x	NOUN
ejpam-3350	83	5	)	)	PUNCT
ejpam-3350	83	6	e2	e2	PROPN
ejpam-3350	83	7	(	(	PUNCT
ejpam-3350	83	8	x	x	NOUN
ejpam-3350	83	9	)	)	PUNCT
ejpam-3350	83	10	)	)	PUNCT
ejpam-3350	84	1	∂δθ	∂δθ	PROPN
ejpam-3350	84	2	∂t	∂t	PROPN
ejpam-3350	84	3	∂η2	∂η2	PROPN
ejpam-3350	84	4	∂t	∂t	PROPN
ejpam-3350	84	5	)	)	PUNCT
ejpam-3350	84	6	dxdt−	dxdt−	VERB
ejpam-3350	84	7	∫	∫	PROPN
ejpam-3350	84	8	l	l	NOUN
ejpam-3350	84	9	0	0	NUM
ejpam-3350	84	10	ρ	ρ	PROPN
ejpam-3350	84	11	(	(	PUNCT
ejpam-3350	84	12	x)a	x)a	X
ejpam-3350	84	13	(	(	PUNCT
ejpam-3350	84	14	x	x	X
ejpam-3350	84	15	)	)	PUNCT
ejpam-3350	84	16	e	e	NOUN
ejpam-3350	84	17	(	(	PUNCT
ejpam-3350	84	18	x	x	X
ejpam-3350	84	19	)	)	PUNCT
ejpam-3350	84	20	∂δy	∂δy	PROPN
ejpam-3350	84	21	∂t	∂t	PROPN
ejpam-3350	84	22	η2|t0	η2|t0	PROPN
ejpam-3350	84	23	dx+	dx+	PROPN
ejpam-3350	84	24	a.t	a.t	PROPN
ejpam-3350	84	25	.	.	PROPN
ejpam-3350	84	26	ramazanova	ramazanova	PROPN
ejpam-3350	84	27	/	/	SYM
ejpam-3350	84	28	eur	eur	PROPN
ejpam-3350	84	29	.	.	PUNCT
ejpam-3350	85	1	j.	j.	PROPN
ejpam-3350	85	2	pure	pure	PROPN
ejpam-3350	85	3	appl	appl	PROPN
ejpam-3350	85	4	.	.	PROPN
ejpam-3350	85	5	math	math	PROPN
ejpam-3350	85	6	,	,	PUNCT
ejpam-3350	85	7	12	12	NUM
ejpam-3350	85	8	(	(	PUNCT
ejpam-3350	85	9	1	1	NUM
ejpam-3350	85	10	)	)	PUNCT
ejpam-3350	85	11	(	(	PUNCT
ejpam-3350	85	12	2019	2019	NUM
ejpam-3350	85	13	)	)	PUNCT
ejpam-3350	85	14	,	,	PUNCT
ejpam-3350	85	15	25	25	NUM
ejpam-3350	85	16	-	-	SYM
ejpam-3350	85	17	38	38	NUM
ejpam-3350	85	18	30	30	NUM
ejpam-3350	85	19	+	+	NUM
ejpam-3350	85	20	∫	∫	PROPN
ejpam-3350	85	21	l	l	NOUN
ejpam-3350	85	22	0	0	NUM
ejpam-3350	85	23	ρ	ρ	NOUN
ejpam-3350	85	24	(	(	PUNCT
ejpam-3350	85	25	x	x	NOUN
ejpam-3350	85	26	)	)	PUNCT
ejpam-3350	85	27	(	(	PUNCT
ejpam-3350	85	28	i	i	PRON
ejpam-3350	85	29	(	(	PUNCT
ejpam-3350	85	30	x	x	X
ejpam-3350	85	31	)	)	PUNCT
ejpam-3350	86	1	+	+	ADP
ejpam-3350	86	2	a	a	DET
ejpam-3350	86	3	(	(	PUNCT
ejpam-3350	86	4	x	x	NOUN
ejpam-3350	86	5	)	)	PUNCT
ejpam-3350	86	6	e2	e2	PROPN
ejpam-3350	86	7	(	(	PUNCT
ejpam-3350	86	8	x	x	NOUN
ejpam-3350	86	9	)	)	PUNCT
ejpam-3350	86	10	)	)	PUNCT
ejpam-3350	87	1	∂δθ	∂δθ	PROPN
ejpam-3350	87	2	∂t	∂t	PROPN
ejpam-3350	87	3	η2|t0	η2|t0	PROPN
ejpam-3350	87	4	dx=	dx=	PROPN
ejpam-3350	87	5	0	0	NUM
ejpam-3350	87	6	.	.	PUNCT
ejpam-3350	88	1	(	(	PUNCT
ejpam-3350	88	2	24	24	NUM
ejpam-3350	88	3	)	)	PUNCT
ejpam-3350	88	4	as	as	ADP
ejpam-3350	88	5	the	the	DET
ejpam-3350	88	6	functions	function	NOUN
ejpam-3350	88	7	(	(	PUNCT
ejpam-3350	88	8	ψ1	ψ1	NOUN
ejpam-3350	88	9	(	(	PUNCT
ejpam-3350	88	10	x	x	NOUN
ejpam-3350	88	11	,	,	PUNCT
ejpam-3350	88	12	t	t	PROPN
ejpam-3350	88	13	)	)	PUNCT
ejpam-3350	88	14	,	,	PUNCT
ejpam-3350	88	15	ψ2	ψ2	NOUN
ejpam-3350	88	16	(	(	PUNCT
ejpam-3350	88	17	x	x	X
ejpam-3350	88	18	,	,	PUNCT
ejpam-3350	88	19	t))are	t))are	VERB
ejpam-3350	88	20	the	the	DET
ejpam-3350	88	21	generalized	generalize	VERB
ejpam-3350	88	22	solutions	solution	NOUN
ejpam-3350	88	23	of	of	ADP
ejpam-3350	88	24	problem	problem	NOUN
ejpam-3350	88	25	(	(	PUNCT
ejpam-3350	88	26	11)(15	11)(15	NUM
ejpam-3350	88	27	)	)	PUNCT
ejpam-3350	88	28	,	,	PUNCT
ejpam-3350	88	29	for	for	ADP
ejpam-3350	88	30	any	any	DET
ejpam-3350	88	31	functions	function	NOUN
ejpam-3350	88	32	g1	g1	NOUN
ejpam-3350	88	33	,	,	PUNCT
ejpam-3350	88	34	g2	g2	PROPN
ejpam-3350	88	35	∈w	∈w	VERB
ejpam-3350	88	36	2,1	2,1	NUM
ejpam-3350	88	37	2	2	NUM
ejpam-3350	88	38	(	(	PUNCT
ejpam-3350	88	39	q	q	NOUN
ejpam-3350	88	40	)	)	PUNCT
ejpam-3350	88	41	,	,	PUNCT
ejpam-3350	88	42	g1|x=0	g1|x=0	X
ejpam-3350	89	1	=	=	SYM
ejpam-3350	89	2	g1|x	g1|x	PROPN
ejpam-3350	89	3	=	=	PROPN
ejpam-3350	89	4	l	l	NOUN
ejpam-3350	89	5	=	=	SYM
ejpam-3350	89	6	0	0	NUM
ejpam-3350	89	7	,	,	PUNCT
ejpam-3350	89	8	∂g1	∂g1	PROPN
ejpam-3350	89	9	∂x	∂x	PROPN
ejpam-3350	89	10	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	89	11	x=0	x=0	PUNCT
ejpam-3350	89	12	=	=	SYM
ejpam-3350	89	13	∂g1	∂g1	PROPN
ejpam-3350	89	14	∂x	∂x	PROPN
ejpam-3350	89	15	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	89	16	x	x	SYM
ejpam-3350	89	17	=	=	NOUN
ejpam-3350	89	18	l	l	NOUN
ejpam-3350	89	19	=	=	SYM
ejpam-3350	89	20	0	0	NUM
ejpam-3350	89	21	,	,	PUNCT
ejpam-3350	89	22	0≤t≤t	0≤t≤t	NUM
ejpam-3350	89	23	,	,	PUNCT
ejpam-3350	89	24	g2|x=0	g2|x=0	NOUN
ejpam-3350	89	25	=	=	SYM
ejpam-3350	89	26	g2|x	g2|x	NOUN
ejpam-3350	89	27	=	=	NOUN
ejpam-3350	89	28	l	l	NOUN
ejpam-3350	89	29	=	=	SYM
ejpam-3350	89	30	0	0	NUM
ejpam-3350	89	31	,	,	PUNCT
ejpam-3350	89	32	∂g2	∂g2	PROPN
ejpam-3350	89	33	∂x	∂x	PROPN
ejpam-3350	89	34	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	89	35	x=0	x=0	PROPN
ejpam-3350	89	36	=	=	SYM
ejpam-3350	89	37	∂g2	∂g2	PROPN
ejpam-3350	89	38	∂x	∂x	PROPN
ejpam-3350	89	39	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	89	40	x	x	SYM
ejpam-3350	89	41	=	=	NOUN
ejpam-3350	89	42	l	l	NOUN
ejpam-3350	89	43	=	=	SYM
ejpam-3350	89	44	0	0	NUM
ejpam-3350	89	45	,	,	PUNCT
ejpam-3350	89	46	0≤t≤t	0≤t≤t	NUM
ejpam-3350	89	47	,	,	PUNCT
ejpam-3350	89	48	the	the	DET
ejpam-3350	89	49	following	follow	VERB
ejpam-3350	89	50	integral	integral	ADJ
ejpam-3350	89	51	identities	identity	NOUN
ejpam-3350	89	52	are	be	AUX
ejpam-3350	89	53	fulfilled∫∫	fulfilled∫∫	PROPN
ejpam-3350	89	54	q	q	X
ejpam-3350	89	55	(	(	PUNCT
ejpam-3350	89	56	e	e	X
ejpam-3350	89	57	(	(	PUNCT
ejpam-3350	89	58	x	x	NOUN
ejpam-3350	89	59	)	)	PUNCT
ejpam-3350	89	60	l	l	NOUN
ejpam-3350	89	61	(	(	PUNCT
ejpam-3350	89	62	x	x	NOUN
ejpam-3350	89	63	)	)	PUNCT
ejpam-3350	89	64	∂2ψ1	∂2ψ1	VERB
ejpam-3350	89	65	∂x2	∂x2	NOUN
ejpam-3350	89	66	∂2g1	∂2g1	VERB
ejpam-3350	89	67	∂x2	∂x2	NOUN
ejpam-3350	89	68	−	−	PROPN
ejpam-3350	89	69	ρ	ρ	PROPN
ejpam-3350	89	70	(	(	PUNCT
ejpam-3350	89	71	x)a	x)a	X
ejpam-3350	89	72	(	(	PUNCT
ejpam-3350	89	73	x	x	X
ejpam-3350	89	74	)	)	PUNCT
ejpam-3350	89	75	∂ψ1	∂ψ1	ADJ
ejpam-3350	89	76	∂t	∂t	PROPN
ejpam-3350	89	77	∂g1	∂g1	PROPN
ejpam-3350	89	78	∂t	∂t	PROPN
ejpam-3350	90	1	+	+	CCONJ
ejpam-3350	90	2	+	+	NUM
ejpam-3350	90	3	ρ	ρ	PROPN
ejpam-3350	90	4	(	(	PUNCT
ejpam-3350	90	5	x)a	x)a	X
ejpam-3350	90	6	(	(	PUNCT
ejpam-3350	90	7	x	x	X
ejpam-3350	90	8	)	)	PUNCT
ejpam-3350	90	9	e	e	NOUN
ejpam-3350	90	10	(	(	PUNCT
ejpam-3350	90	11	x	x	X
ejpam-3350	90	12	)	)	PUNCT
ejpam-3350	90	13	∂ψ2	∂ψ2	ADJ
ejpam-3350	90	14	∂t	∂t	PROPN
ejpam-3350	90	15	∂g1	∂g1	PROPN
ejpam-3350	90	16	∂t	∂t	PROPN
ejpam-3350	90	17	)	)	PUNCT
ejpam-3350	90	18	dxdt+	dxdt+	X
ejpam-3350	90	19	∫	∫	PROPN
ejpam-3350	90	20	l	l	NOUN
ejpam-3350	90	21	0	0	NUM
ejpam-3350	90	22	ρ	ρ	PROPN
ejpam-3350	90	23	(	(	PUNCT
ejpam-3350	90	24	x)a	x)a	X
ejpam-3350	90	25	(	(	PUNCT
ejpam-3350	90	26	x	x	X
ejpam-3350	90	27	)	)	PUNCT
ejpam-3350	91	1	∂ψ1	∂ψ1	ADJ
ejpam-3350	91	2	∂t	∂t	PROPN
ejpam-3350	91	3	g1|t0	g1|t0	X
ejpam-3350	91	4	dx−	dx−	NUM
ejpam-3350	91	5	−	−	NOUN
ejpam-3350	92	1	∫	∫	PROPN
ejpam-3350	92	2	l	l	NOUN
ejpam-3350	92	3	0	0	NUM
ejpam-3350	92	4	ρ	ρ	PROPN
ejpam-3350	92	5	(	(	PUNCT
ejpam-3350	92	6	x)a	x)a	X
ejpam-3350	92	7	(	(	PUNCT
ejpam-3350	92	8	x	x	X
ejpam-3350	92	9	)	)	PUNCT
ejpam-3350	92	10	e	e	NOUN
ejpam-3350	92	11	(	(	PUNCT
ejpam-3350	92	12	x	x	X
ejpam-3350	92	13	)	)	PUNCT
ejpam-3350	92	14	∂ψ2	∂ψ2	ADJ
ejpam-3350	92	15	∂t	∂t	PROPN
ejpam-3350	92	16	g1|t0	g1|t0	PROPN
ejpam-3350	92	17	dx=	dx=	PROPN
ejpam-3350	92	18	0	0	NUM
ejpam-3350	92	19	,	,	PUNCT
ejpam-3350	92	20	(	(	PUNCT
ejpam-3350	92	21	x	x	NOUN
ejpam-3350	92	22	,	,	PUNCT
ejpam-3350	92	23	t	t	PROPN
ejpam-3350	92	24	)	)	PUNCT
ejpam-3350	92	25	∈	∈	PROPN
ejpam-3350	93	1	q	q	NOUN
ejpam-3350	93	2	,	,	PUNCT
ejpam-3350	93	3	(	(	PUNCT
ejpam-3350	93	4	25	25	NUM
ejpam-3350	93	5	)	)	PUNCT
ejpam-3350	94	1	∫∫	∫∫	ADV
ejpam-3350	94	2	q	q	NOUN
ejpam-3350	94	3	(	(	PUNCT
ejpam-3350	94	4	e	e	X
ejpam-3350	94	5	(	(	PUNCT
ejpam-3350	94	6	x)cw	x)cw	PROPN
ejpam-3350	94	7	(	(	PUNCT
ejpam-3350	94	8	x	x	X
ejpam-3350	94	9	)	)	PUNCT
ejpam-3350	94	10	∂2ψ2	∂2ψ2	VERB
ejpam-3350	95	1	∂x2	∂x2	NOUN
ejpam-3350	95	2	∂2g2	∂2g2	SYM
ejpam-3350	95	3	∂x2	∂x2	NOUN
ejpam-3350	95	4	−g	−g	NOUN
ejpam-3350	95	5	(	(	PUNCT
ejpam-3350	95	6	x)c	x)c	X
ejpam-3350	95	7	(	(	PUNCT
ejpam-3350	95	8	x	x	X
ejpam-3350	95	9	)	)	PUNCT
ejpam-3350	95	10	∂2ψ2	∂2ψ2	VERB
ejpam-3350	95	11	∂x2	∂x2	NOUN
ejpam-3350	95	12	g2	g2	NOUN
ejpam-3350	95	13	+	+	X
ejpam-3350	96	1	+	+	ADJ
ejpam-3350	96	2	ρ	ρ	PROPN
ejpam-3350	96	3	(	(	PUNCT
ejpam-3350	96	4	x)a	x)a	X
ejpam-3350	96	5	(	(	PUNCT
ejpam-3350	96	6	x	x	X
ejpam-3350	96	7	)	)	PUNCT
ejpam-3350	96	8	e	e	NOUN
ejpam-3350	96	9	(	(	PUNCT
ejpam-3350	96	10	x	x	X
ejpam-3350	96	11	)	)	PUNCT
ejpam-3350	96	12	∂ψ1	∂ψ1	ADJ
ejpam-3350	96	13	∂t	∂t	PROPN
ejpam-3350	96	14	∂g2	∂g2	PROPN
ejpam-3350	96	15	∂t	∂t	PROPN
ejpam-3350	96	16	−	−	PROPN
ejpam-3350	96	17	ρ	ρ	PROPN
ejpam-3350	96	18	(	(	PUNCT
ejpam-3350	96	19	x	x	NOUN
ejpam-3350	96	20	)	)	PUNCT
ejpam-3350	96	21	(	(	PUNCT
ejpam-3350	96	22	i	i	PRON
ejpam-3350	96	23	(	(	PUNCT
ejpam-3350	96	24	x	x	X
ejpam-3350	96	25	)	)	PUNCT
ejpam-3350	97	1	+	+	ADP
ejpam-3350	97	2	a	a	DET
ejpam-3350	97	3	(	(	PUNCT
ejpam-3350	97	4	x	x	NOUN
ejpam-3350	97	5	)	)	PUNCT
ejpam-3350	97	6	e2	e2	PROPN
ejpam-3350	97	7	(	(	PUNCT
ejpam-3350	97	8	x	x	NOUN
ejpam-3350	97	9	)	)	PUNCT
ejpam-3350	97	10	)	)	PUNCT
ejpam-3350	98	1	∂ψ2	∂ψ2	PROPN
ejpam-3350	98	2	∂t	∂t	PROPN
ejpam-3350	98	3	∂g2	∂g2	PROPN
ejpam-3350	98	4	∂t	∂t	PROPN
ejpam-3350	98	5	)	)	PUNCT
ejpam-3350	98	6	dxdt−	dxdt−	VERB
ejpam-3350	98	7	−	−	NOUN
ejpam-3350	98	8	∫	∫	PROPN
ejpam-3350	99	1	l	l	NOUN
ejpam-3350	99	2	0	0	NUM
ejpam-3350	99	3	ρ	ρ	PROPN
ejpam-3350	99	4	(	(	PUNCT
ejpam-3350	99	5	x)a	x)a	X
ejpam-3350	99	6	(	(	PUNCT
ejpam-3350	99	7	x	x	X
ejpam-3350	99	8	)	)	PUNCT
ejpam-3350	99	9	e	e	NOUN
ejpam-3350	99	10	(	(	PUNCT
ejpam-3350	99	11	x	x	X
ejpam-3350	99	12	)	)	PUNCT
ejpam-3350	99	13	∂ψ1	∂ψ1	ADJ
ejpam-3350	99	14	∂t	∂t	PROPN
ejpam-3350	99	15	g2|t0	g2|t0	PROPN
ejpam-3350	99	16	dx+	dx+	PROPN
ejpam-3350	100	1	+	+	CCONJ
ejpam-3350	100	2	∫	∫	PROPN
ejpam-3350	100	3	l	l	NOUN
ejpam-3350	100	4	0	0	NUM
ejpam-3350	100	5	ρ	ρ	NOUN
ejpam-3350	100	6	(	(	PUNCT
ejpam-3350	100	7	x	x	NOUN
ejpam-3350	100	8	)	)	PUNCT
ejpam-3350	100	9	(	(	PUNCT
ejpam-3350	100	10	i	i	PRON
ejpam-3350	100	11	(	(	PUNCT
ejpam-3350	100	12	x	x	X
ejpam-3350	100	13	)	)	PUNCT
ejpam-3350	100	14	+	+	ADP
ejpam-3350	100	15	a	a	DET
ejpam-3350	100	16	(	(	PUNCT
ejpam-3350	100	17	x	x	NOUN
ejpam-3350	100	18	)	)	PUNCT
ejpam-3350	100	19	e2	e2	PROPN
ejpam-3350	100	20	(	(	PUNCT
ejpam-3350	100	21	x	x	NOUN
ejpam-3350	100	22	)	)	PUNCT
ejpam-3350	100	23	)	)	PUNCT
ejpam-3350	101	1	∂ψ2	∂ψ2	PROPN
ejpam-3350	101	2	∂t	∂t	PROPN
ejpam-3350	101	3	g2|t0	g2|t0	PROPN
ejpam-3350	101	4	dx=	dx=	PROPN
ejpam-3350	101	5	0	0	NUM
ejpam-3350	101	6	,	,	PUNCT
ejpam-3350	101	7	(	(	PUNCT
ejpam-3350	101	8	x	x	NOUN
ejpam-3350	101	9	,	,	PUNCT
ejpam-3350	101	10	t	t	PROPN
ejpam-3350	101	11	)	)	PUNCT
ejpam-3350	101	12	∈	∈	PROPN
ejpam-3350	101	13	q.	q.	NOUN
ejpam-3350	101	14	(	(	PUNCT
ejpam-3350	101	15	26	26	NUM
ejpam-3350	101	16	)	)	PUNCT
ejpam-3350	101	17	in	in	ADP
ejpam-3350	101	18	equalities	equality	NOUN
ejpam-3350	101	19	(	(	PUNCT
ejpam-3350	101	20	23	23	NUM
ejpam-3350	101	21	)	)	PUNCT
ejpam-3350	101	22	and	and	CCONJ
ejpam-3350	101	23	(	(	PUNCT
ejpam-3350	101	24	24	24	NUM
ejpam-3350	101	25	)	)	PUNCT
ejpam-3350	101	26	instead	instead	ADV
ejpam-3350	101	27	of	of	ADP
ejpam-3350	101	28	η1	η1	NOUN
ejpam-3350	101	29	(	(	PUNCT
ejpam-3350	101	30	x	x	NOUN
ejpam-3350	101	31	,	,	PUNCT
ejpam-3350	101	32	t	t	PROPN
ejpam-3350	101	33	)	)	PUNCT
ejpam-3350	101	34	and	and	CCONJ
ejpam-3350	101	35	η2	η2	PROPN
ejpam-3350	101	36	(	(	PUNCT
ejpam-3350	101	37	x	x	X
ejpam-3350	101	38	,	,	PUNCT
ejpam-3350	101	39	t	t	PROPN
ejpam-3350	101	40	)	)	PUNCT
ejpam-3350	101	41	we	we	PRON
ejpam-3350	101	42	take	take	VERB
ejpam-3350	101	43	ψ1	ψ1	NOUN
ejpam-3350	101	44	(	(	PUNCT
ejpam-3350	101	45	x	x	NOUN
ejpam-3350	101	46	,	,	PUNCT
ejpam-3350	101	47	t	t	PROPN
ejpam-3350	101	48	)	)	PUNCT
ejpam-3350	101	49	and	and	CCONJ
ejpam-3350	101	50	ψ2	ψ2	NOUN
ejpam-3350	101	51	(	(	PUNCT
ejpam-3350	101	52	x	x	X
ejpam-3350	101	53	,	,	PUNCT
ejpam-3350	101	54	t	t	PROPN
ejpam-3350	101	55	)	)	PUNCT
ejpam-3350	101	56	,	,	PUNCT
ejpam-3350	101	57	in	in	ADP
ejpam-3350	101	58	the	the	DET
ejpam-3350	101	59	identities	identity	NOUN
ejpam-3350	101	60	(	(	PUNCT
ejpam-3350	101	61	25	25	NUM
ejpam-3350	101	62	)	)	PUNCT
ejpam-3350	101	63	and	and	CCONJ
ejpam-3350	101	64	(	(	PUNCT
ejpam-3350	101	65	26	26	NUM
ejpam-3350	101	66	)	)	PUNCT
ejpam-3350	101	67	instead	instead	ADV
ejpam-3350	101	68	of	of	ADP
ejpam-3350	101	69	g1	g1	PROPN
ejpam-3350	101	70	(	(	PUNCT
ejpam-3350	101	71	x	x	X
ejpam-3350	101	72	,	,	PUNCT
ejpam-3350	101	73	t	t	PROPN
ejpam-3350	101	74	)	)	PUNCT
ejpam-3350	101	75	and	and	CCONJ
ejpam-3350	101	76	g2	g2	PROPN
ejpam-3350	101	77	(	(	PUNCT
ejpam-3350	101	78	x	x	X
ejpam-3350	101	79	,	,	PUNCT
ejpam-3350	101	80	t	t	PROPN
ejpam-3350	101	81	)	)	PUNCT
ejpam-3350	101	82	we	we	PRON
ejpam-3350	101	83	take	take	VERB
ejpam-3350	101	84	δy	δy	NOUN
ejpam-3350	101	85	(	(	PUNCT
ejpam-3350	101	86	x	x	PROPN
ejpam-3350	101	87	,	,	PUNCT
ejpam-3350	101	88	t	t	PROPN
ejpam-3350	101	89	)	)	PUNCT
ejpam-3350	101	90	and	and	CCONJ
ejpam-3350	101	91	δθ	δθ	PROPN
ejpam-3350	101	92	(	(	PUNCT
ejpam-3350	101	93	x	x	NOUN
ejpam-3350	101	94	,	,	PUNCT
ejpam-3350	101	95	t	t	PROPN
ejpam-3350	101	96	)	)	PUNCT
ejpam-3350	101	97	respectively	respectively	ADV
ejpam-3350	101	98	,	,	PUNCT
ejpam-3350	101	99	subtract	subtract	VERB
ejpam-3350	101	100	the	the	DET
ejpam-3350	101	101	obtained	obtain	VERB
ejpam-3350	101	102	relations	relation	NOUN
ejpam-3350	101	103	and	and	CCONJ
ejpam-3350	101	104	sum	sum	VERB
ejpam-3350	101	105	them	they	PRON
ejpam-3350	101	106	.	.	PUNCT
ejpam-3350	102	1	then	then	ADV
ejpam-3350	102	2	we	we	PRON
ejpam-3350	102	3	have,∫	have,∫	VERB
ejpam-3350	102	4	l	l	NOUN
ejpam-3350	102	5	0	0	PUNCT
ejpam-3350	103	1	[	[	X
ejpam-3350	103	2	(	(	PUNCT
ejpam-3350	103	3	y	y	PROPN
ejpam-3350	103	4	(	(	PUNCT
ejpam-3350	103	5	x	x	PROPN
ejpam-3350	103	6	,	,	PUNCT
ejpam-3350	103	7	t	t	PROPN
ejpam-3350	103	8	;	;	PUNCT
ejpam-3350	103	9	v)−	v)−	PROPN
ejpam-3350	103	10	ϕ1	ϕ1	NOUN
ejpam-3350	103	11	(	(	PUNCT
ejpam-3350	103	12	x	x	NOUN
ejpam-3350	103	13	)	)	PUNCT
ejpam-3350	103	14	)	)	PUNCT
ejpam-3350	103	15	δy	δy	NOUN
ejpam-3350	103	16	(	(	PUNCT
ejpam-3350	103	17	x	x	PROPN
ejpam-3350	103	18	,	,	PUNCT
ejpam-3350	103	19	t	t	NOUN
ejpam-3350	103	20	)	)	PUNCT
ejpam-3350	103	21	dx+	dx+	NOUN
ejpam-3350	103	22	(	(	PUNCT
ejpam-3350	103	23	θ	θ	PROPN
ejpam-3350	103	24	(	(	PUNCT
ejpam-3350	103	25	x	x	PROPN
ejpam-3350	103	26	,	,	PUNCT
ejpam-3350	103	27	t	t	PROPN
ejpam-3350	103	28	;	;	PUNCT
ejpam-3350	103	29	v)−	v)−	PROPN
ejpam-3350	103	30	ϕ2	ϕ2	ADV
ejpam-3350	103	31	(	(	PUNCT
ejpam-3350	103	32	x	x	NOUN
ejpam-3350	103	33	)	)	PUNCT
ejpam-3350	103	34	)	)	PUNCT
ejpam-3350	103	35	δθ	δθ	PROPN
ejpam-3350	103	36	(	(	PUNCT
ejpam-3350	103	37	x	x	PROPN
ejpam-3350	103	38	,	,	PUNCT
ejpam-3350	103	39	t	t	PROPN
ejpam-3350	103	40	)	)	PUNCT
ejpam-3350	103	41	dx	dx	PROPN
ejpam-3350	103	42	=	=	PUNCT
ejpam-3350	104	1	=	=	SYM
ejpam-3350	104	2	∫	∫	PROPN
ejpam-3350	104	3	l	l	NOUN
ejpam-3350	104	4	0	0	PUNCT
ejpam-3350	105	1	[	[	X
ejpam-3350	105	2	ρ	ρ	X
ejpam-3350	105	3	(	(	PUNCT
ejpam-3350	105	4	x)a	x)a	X
ejpam-3350	105	5	(	(	PUNCT
ejpam-3350	105	6	x	x	X
ejpam-3350	105	7	)	)	PUNCT
ejpam-3350	105	8	ψ1	ψ1	NOUN
ejpam-3350	105	9	(	(	PUNCT
ejpam-3350	105	10	x	x	X
ejpam-3350	105	11	,	,	PUNCT
ejpam-3350	105	12	0)−ρ	0)−ρ	NUM
ejpam-3350	105	13	(	(	PUNCT
ejpam-3350	105	14	x)a	x)a	X
ejpam-3350	105	15	(	(	PUNCT
ejpam-3350	105	16	x	x	X
ejpam-3350	105	17	)	)	PUNCT
ejpam-3350	105	18	e	e	NOUN
ejpam-3350	105	19	(	(	PUNCT
ejpam-3350	105	20	x	x	NOUN
ejpam-3350	105	21	)	)	PUNCT
ejpam-3350	105	22	ψ2	ψ2	NOUN
ejpam-3350	105	23	(	(	PUNCT
ejpam-3350	105	24	x	x	X
ejpam-3350	105	25	,	,	PUNCT
ejpam-3350	105	26	0	0	NUM
ejpam-3350	105	27	)	)	PUNCT
ejpam-3350	105	28	]	]	PUNCT
ejpam-3350	106	1	δv1dx+	δv1dx+	NUM
ejpam-3350	106	2	(	(	PUNCT
ejpam-3350	106	3	27	27	NUM
ejpam-3350	106	4	)	)	PUNCT
ejpam-3350	107	1	+	+	NUM
ejpam-3350	107	2	∫	∫	PROPN
ejpam-3350	107	3	l	l	NOUN
ejpam-3350	107	4	0	0	PUNCT
ejpam-3350	108	1	[	[	X
ejpam-3350	108	2	−ρ	−ρ	NOUN
ejpam-3350	108	3	(	(	PUNCT
ejpam-3350	108	4	x)a	x)a	X
ejpam-3350	108	5	(	(	PUNCT
ejpam-3350	108	6	x	x	X
ejpam-3350	108	7	)	)	PUNCT
ejpam-3350	108	8	e	e	NOUN
ejpam-3350	108	9	(	(	PUNCT
ejpam-3350	108	10	x)ψ1	x)ψ1	PROPN
ejpam-3350	108	11	(	(	PUNCT
ejpam-3350	108	12	x	x	NOUN
ejpam-3350	108	13	,	,	PUNCT
ejpam-3350	108	14	0	0	NUM
ejpam-3350	108	15	)	)	PUNCT
ejpam-3350	108	16	+	+	NOUN
ejpam-3350	108	17	ρ	ρ	PROPN
ejpam-3350	108	18	(	(	PUNCT
ejpam-3350	108	19	x	x	NOUN
ejpam-3350	108	20	)	)	PUNCT
ejpam-3350	108	21	(	(	PUNCT
ejpam-3350	108	22	i	i	PRON
ejpam-3350	108	23	(	(	PUNCT
ejpam-3350	108	24	x	x	X
ejpam-3350	108	25	)	)	PUNCT
ejpam-3350	108	26	+	+	ADJ
ejpam-3350	108	27	a(x	a(x	NOUN
ejpam-3350	108	28	)	)	PUNCT
ejpam-3350	108	29	e2	e2	NOUN
ejpam-3350	108	30	(	(	PUNCT
ejpam-3350	108	31	x	x	NOUN
ejpam-3350	108	32	)	)	PUNCT
ejpam-3350	108	33	)	)	PUNCT
ejpam-3350	108	34	ψ2	ψ2	NOUN
ejpam-3350	108	35	(	(	PUNCT
ejpam-3350	108	36	x	x	X
ejpam-3350	108	37	,	,	PUNCT
ejpam-3350	108	38	0	0	NUM
ejpam-3350	108	39	)	)	PUNCT
ejpam-3350	108	40	]	]	PUNCT
ejpam-3350	109	1	δw1dx	δw1dx	NUM
ejpam-3350	109	2	a.t	a.t	PROPN
ejpam-3350	109	3	.	.	PUNCT
ejpam-3350	109	4	ramazanova	ramazanova	PROPN
ejpam-3350	109	5	/	/	SYM
ejpam-3350	109	6	eur	eur	PROPN
ejpam-3350	109	7	.	.	PUNCT
ejpam-3350	110	1	j.	j.	PROPN
ejpam-3350	110	2	pure	pure	PROPN
ejpam-3350	110	3	appl	appl	PROPN
ejpam-3350	110	4	.	.	PROPN
ejpam-3350	110	5	math	math	PROPN
ejpam-3350	110	6	,	,	PUNCT
ejpam-3350	110	7	12	12	NUM
ejpam-3350	110	8	(	(	PUNCT
ejpam-3350	110	9	1	1	NUM
ejpam-3350	110	10	)	)	PUNCT
ejpam-3350	110	11	(	(	PUNCT
ejpam-3350	110	12	2019	2019	NUM
ejpam-3350	110	13	)	)	PUNCT
ejpam-3350	110	14	,	,	PUNCT
ejpam-3350	110	15	25	25	NUM
ejpam-3350	110	16	-	-	SYM
ejpam-3350	110	17	38	38	NUM
ejpam-3350	110	18	31	31	NUM
ejpam-3350	110	19	therefore	therefore	ADV
ejpam-3350	110	20	from	from	ADP
ejpam-3350	110	21	formulas	formula	NOUN
ejpam-3350	110	22	(	(	PUNCT
ejpam-3350	110	23	17	17	NUM
ejpam-3350	110	24	)	)	PUNCT
ejpam-3350	110	25	and	and	CCONJ
ejpam-3350	110	26	(	(	PUNCT
ejpam-3350	110	27	27	27	NUM
ejpam-3350	110	28	)	)	PUNCT
ejpam-3350	110	29	it	it	PRON
ejpam-3350	110	30	follows	follow	VERB
ejpam-3350	110	31	that	that	SCONJ
ejpam-3350	110	32	∆jα	∆jα	X
ejpam-3350	110	33	(	(	PUNCT
ejpam-3350	110	34	v	v	NOUN
ejpam-3350	110	35	)	)	PUNCT
ejpam-3350	110	36	=	=	SYM
ejpam-3350	111	1	∫	∫	PROPN
ejpam-3350	111	2	l	l	NOUN
ejpam-3350	111	3	0	0	PUNCT
ejpam-3350	112	1	[	[	X
ejpam-3350	112	2	ρ	ρ	X
ejpam-3350	112	3	(	(	PUNCT
ejpam-3350	112	4	x)a	x)a	X
ejpam-3350	112	5	(	(	PUNCT
ejpam-3350	112	6	x	x	X
ejpam-3350	112	7	)	)	PUNCT
ejpam-3350	112	8	ψ1	ψ1	NOUN
ejpam-3350	112	9	(	(	PUNCT
ejpam-3350	112	10	x	x	X
ejpam-3350	112	11	,	,	PUNCT
ejpam-3350	112	12	0)−	0)−	PROPN
ejpam-3350	112	13	ρ	ρ	PROPN
ejpam-3350	112	14	(	(	PUNCT
ejpam-3350	112	15	x)a	x)a	X
ejpam-3350	112	16	(	(	PUNCT
ejpam-3350	112	17	x	x	X
ejpam-3350	112	18	)	)	PUNCT
ejpam-3350	112	19	e	e	NOUN
ejpam-3350	112	20	(	(	PUNCT
ejpam-3350	112	21	x	x	NOUN
ejpam-3350	112	22	)	)	PUNCT
ejpam-3350	112	23	ψ2	ψ2	NOUN
ejpam-3350	112	24	(	(	PUNCT
ejpam-3350	112	25	x	x	X
ejpam-3350	112	26	,	,	PUNCT
ejpam-3350	112	27	0	0	NUM
ejpam-3350	112	28	)	)	PUNCT
ejpam-3350	112	29	+	+	CCONJ
ejpam-3350	112	30	αv1	αv1	ADJ
ejpam-3350	112	31	]	]	X
ejpam-3350	112	32	δv1dx+	δv1dx+	ADJ
ejpam-3350	112	33	+	+	CCONJ
ejpam-3350	112	34	∫	∫	PROPN
ejpam-3350	112	35	l	l	NOUN
ejpam-3350	112	36	0	0	PUNCT
ejpam-3350	113	1	[	[	PUNCT
ejpam-3350	113	2	−ρ	−ρ	NOUN
ejpam-3350	113	3	(	(	PUNCT
ejpam-3350	113	4	x)a	x)a	X
ejpam-3350	113	5	(	(	PUNCT
ejpam-3350	113	6	x	x	X
ejpam-3350	113	7	)	)	PUNCT
ejpam-3350	113	8	e	e	NOUN
ejpam-3350	113	9	(	(	PUNCT
ejpam-3350	113	10	x	x	NOUN
ejpam-3350	113	11	)	)	PUNCT
ejpam-3350	113	12	ψ1	ψ1	NOUN
ejpam-3350	113	13	(	(	PUNCT
ejpam-3350	113	14	x	x	X
ejpam-3350	113	15	,	,	PUNCT
ejpam-3350	113	16	0	0	NUM
ejpam-3350	113	17	)	)	PUNCT
ejpam-3350	114	1	+	+	CCONJ
ejpam-3350	114	2	ρ	ρ	PROPN
ejpam-3350	114	3	(	(	PUNCT
ejpam-3350	114	4	x	x	NOUN
ejpam-3350	114	5	)	)	PUNCT
ejpam-3350	114	6	(	(	PUNCT
ejpam-3350	114	7	i	i	PRON
ejpam-3350	114	8	(	(	PUNCT
ejpam-3350	114	9	x	x	X
ejpam-3350	114	10	)	)	PUNCT
ejpam-3350	114	11	+	+	ADP
ejpam-3350	114	12	a	a	DET
ejpam-3350	114	13	(	(	PUNCT
ejpam-3350	114	14	x	x	NOUN
ejpam-3350	114	15	)	)	PUNCT
ejpam-3350	114	16	e2	e2	PROPN
ejpam-3350	114	17	(	(	PUNCT
ejpam-3350	114	18	x	x	NOUN
ejpam-3350	114	19	)	)	PUNCT
ejpam-3350	114	20	)	)	PUNCT
ejpam-3350	114	21	·	·	PUNCT
ejpam-3350	114	22	·	·	PUNCT
ejpam-3350	115	1	ψ2	ψ2	NOUN
ejpam-3350	115	2	(	(	PUNCT
ejpam-3350	115	3	x	x	X
ejpam-3350	115	4	,	,	PUNCT
ejpam-3350	115	5	0	0	NUM
ejpam-3350	115	6	)	)	PUNCT
ejpam-3350	115	7	+	+	NUM
ejpam-3350	115	8	αw1	αw1	NOUN
ejpam-3350	115	9	]	]	PUNCT
ejpam-3350	115	10	δw1dx+r	δw1dx+r	X
ejpam-3350	115	11	(	(	PUNCT
ejpam-3350	115	12	28	28	NUM
ejpam-3350	115	13	)	)	PUNCT
ejpam-3350	115	14	next	next	ADV
ejpam-3350	115	15	we	we	PRON
ejpam-3350	115	16	show	show	VERB
ejpam-3350	115	17	that	that	SCONJ
ejpam-3350	115	18	‖δy	‖δy	PROPN
ejpam-3350	115	19	(	(	PUNCT
ejpam-3350	115	20	x	x	PROPN
ejpam-3350	115	21	,	,	PUNCT
ejpam-3350	115	22	t	t	NOUN
ejpam-3350	115	23	)	)	PUNCT
ejpam-3350	115	24	‖2l2(0,l	‖2l2(0,l	NOUN
ejpam-3350	115	25	)	)	PUNCT
ejpam-3350	115	26	≤	≤	NUM
ejpam-3350	115	27	c‖δv1‖2l2(0,l	c‖δv1‖2l2(0,l	NOUN
ejpam-3350	115	28	)	)	PUNCT
ejpam-3350	115	29	,	,	PUNCT
ejpam-3350	115	30	(	(	PUNCT
ejpam-3350	115	31	29	29	NUM
ejpam-3350	115	32	)	)	PUNCT
ejpam-3350	115	33	‖δθ	‖δθ	NUM
ejpam-3350	115	34	(	(	PUNCT
ejpam-3350	115	35	x	x	NOUN
ejpam-3350	115	36	,	,	PUNCT
ejpam-3350	115	37	t	t	NOUN
ejpam-3350	115	38	)	)	PUNCT
ejpam-3350	115	39	‖2l2(0,l	‖2l2(0,l	NOUN
ejpam-3350	115	40	)	)	PUNCT
ejpam-3350	115	41	≤	≤	NUM
ejpam-3350	115	42	c‖δw1‖2l2(0,l	c‖δw1‖2l2(0,l	NOUN
ejpam-3350	115	43	)	)	PUNCT
ejpam-3350	115	44	.	.	PUNCT
ejpam-3350	116	1	(	(	PUNCT
ejpam-3350	116	2	30	30	NUM
ejpam-3350	116	3	)	)	PUNCT
ejpam-3350	116	4	for	for	ADP
ejpam-3350	116	5	this	this	DET
ejpam-3350	116	6	purpose	purpose	NOUN
ejpam-3350	116	7	first	first	ADV
ejpam-3350	116	8	we	we	PRON
ejpam-3350	116	9	show	show	VERB
ejpam-3350	116	10	that	that	SCONJ
ejpam-3350	116	11	‖δy	‖δy	PROPN
ejpam-3350	116	12	(	(	PUNCT
ejpam-3350	116	13	x	x	NOUN
ejpam-3350	116	14	,	,	PUNCT
ejpam-3350	116	15	t)‖2	t)‖2	ADJ
ejpam-3350	116	16	w	w	PROPN
ejpam-3350	116	17	2,1	2,1	NUM
ejpam-3350	116	18	2	2	NUM
ejpam-3350	116	19	(	(	PUNCT
ejpam-3350	116	20	q	q	NOUN
ejpam-3350	116	21	)	)	PUNCT
ejpam-3350	116	22	≤	≤	NUM
ejpam-3350	116	23	c‖δv1‖2l2(0,l	c‖δv1‖2l2(0,l	NOUN
ejpam-3350	116	24	)	)	PUNCT
ejpam-3350	116	25	,	,	PUNCT
ejpam-3350	116	26	(	(	PUNCT
ejpam-3350	116	27	31	31	NUM
ejpam-3350	116	28	)	)	PUNCT
ejpam-3350	116	29	‖δθ	‖δθ	NUM
ejpam-3350	116	30	(	(	PUNCT
ejpam-3350	116	31	x	x	NOUN
ejpam-3350	116	32	,	,	PUNCT
ejpam-3350	116	33	t)‖2	t)‖2	ADJ
ejpam-3350	116	34	w	w	PROPN
ejpam-3350	116	35	2,1	2,1	NUM
ejpam-3350	116	36	2	2	NUM
ejpam-3350	116	37	(	(	PUNCT
ejpam-3350	116	38	q	q	NOUN
ejpam-3350	116	39	)	)	PUNCT
ejpam-3350	116	40	≤	≤	NOUN
ejpam-3350	116	41	c‖δw1‖2l2(0,l	c‖δw1‖2l2(0,l	NOUN
ejpam-3350	116	42	)	)	PUNCT
ejpam-3350	116	43	(	(	PUNCT
ejpam-3350	116	44	32	32	NUM
ejpam-3350	116	45	)	)	PUNCT
ejpam-3350	116	46	for	for	ADP
ejpam-3350	116	47	proving	prove	VERB
ejpam-3350	116	48	estimations	estimation	NOUN
ejpam-3350	116	49	(	(	PUNCT
ejpam-3350	116	50	31	31	NUM
ejpam-3350	116	51	)	)	PUNCT
ejpam-3350	116	52	and	and	CCONJ
ejpam-3350	116	53	(	(	PUNCT
ejpam-3350	116	54	32	32	NUM
ejpam-3350	116	55	)	)	PUNCT
ejpam-3350	116	56	we	we	PRON
ejpam-3350	116	57	apply	apply	VERB
ejpam-3350	116	58	the	the	DET
ejpam-3350	116	59	faedo	faedo	NOUN
ejpam-3350	116	60	-	-	PUNCT
ejpam-3350	116	61	galerkin	galerkin	ADJ
ejpam-3350	116	62	method	method	NOUN
ejpam-3350	116	63	.	.	PUNCT
ejpam-3350	117	1	let	let	VERB
ejpam-3350	117	2	{	{	PUNCT
ejpam-3350	117	3	ωi	ωi	X
ejpam-3350	117	4	(	(	PUNCT
ejpam-3350	117	5	x)}∞i=1	x)}∞i=1	X
ejpam-3350	117	6	be	be	AUX
ejpam-3350	117	7	a	a	DET
ejpam-3350	117	8	fundamental	fundamental	ADJ
ejpam-3350	117	9	system	system	NOUN
ejpam-3350	117	10	in	in	ADP
ejpam-3350	117	11	0	0	NUM
ejpam-3350	117	12	w	w	PROPN
ejpam-3350	117	13	2	2	NUM
ejpam-3350	117	14	2	2	NUM
ejpam-3350	117	15	(	(	PUNCT
ejpam-3350	117	16	0	0	NUM
ejpam-3350	117	17	,	,	PUNCT
ejpam-3350	117	18	l	l	NOUN
ejpam-3350	117	19	)	)	PUNCT
ejpam-3350	117	20	and∫	and∫	ADP
ejpam-3350	117	21	l	l	NOUN
ejpam-3350	117	22	0	0	NUM
ejpam-3350	117	23	ωi	ωi	PROPN
ejpam-3350	117	24	(	(	PUNCT
ejpam-3350	117	25	x)ωk	x)ωk	PROPN
ejpam-3350	117	26	(	(	PUNCT
ejpam-3350	117	27	x	x	X
ejpam-3350	117	28	)	)	PUNCT
ejpam-3350	117	29	dx	dx	PROPN
ejpam-3350	118	1	=	=	PUNCT
ejpam-3350	118	2	{	{	PUNCT
ejpam-3350	118	3	1	1	NUM
ejpam-3350	118	4	,	,	PUNCT
ejpam-3350	118	5	i	i	PRON
ejpam-3350	118	6	=	=	SYM
ejpam-3350	118	7	k	k	PROPN
ejpam-3350	118	8	,	,	PUNCT
ejpam-3350	118	9	0	0	NUM
ejpam-3350	118	10	,	,	PUNCT
ejpam-3350	118	11	i	i	PROPN
ejpam-3350	118	12	6=	6=	PROPN
ejpam-3350	118	13	k.	k.	PROPN
ejpam-3350	119	1	we	we	PRON
ejpam-3350	119	2	look	look	VERB
ejpam-3350	119	3	for	for	ADP
ejpam-3350	119	4	approximate	approximate	ADJ
ejpam-3350	119	5	solutions	solution	NOUN
ejpam-3350	119	6	(	(	PUNCT
ejpam-3350	119	7	δyn	δyn	NOUN
ejpam-3350	119	8	(	(	PUNCT
ejpam-3350	119	9	x	x	NOUN
ejpam-3350	119	10	,	,	PUNCT
ejpam-3350	119	11	t	t	PROPN
ejpam-3350	119	12	)	)	PUNCT
ejpam-3350	119	13	,	,	PUNCT
ejpam-3350	119	14	δθn	δθn	X
ejpam-3350	119	15	(	(	PUNCT
ejpam-3350	119	16	x	x	NOUN
ejpam-3350	119	17	,	,	PUNCT
ejpam-3350	119	18	t	t	PROPN
ejpam-3350	119	19	)	)	PUNCT
ejpam-3350	119	20	)	)	PUNCT
ejpam-3350	119	21	of	of	ADP
ejpam-3350	119	22	problem	problem	NOUN
ejpam-3350	119	23	(	(	PUNCT
ejpam-3350	119	24	18	18	NUM
ejpam-3350	119	25	)	)	PUNCT
ejpam-3350	119	26	,	,	PUNCT
ejpam-3350	119	27	(	(	PUNCT
ejpam-3350	119	28	19	19	NUM
ejpam-3350	119	29	)	)	PUNCT
ejpam-3350	119	30	in	in	ADP
ejpam-3350	119	31	the	the	DET
ejpam-3350	119	32	form	form	NOUN
ejpam-3350	119	33	δyn	δyn	NOUN
ejpam-3350	119	34	(	(	PUNCT
ejpam-3350	119	35	x	x	NOUN
ejpam-3350	119	36	,	,	PUNCT
ejpam-3350	119	37	t	t	PROPN
ejpam-3350	119	38	)	)	PUNCT
ejpam-3350	119	39	=	=	SYM
ejpam-3350	120	1	∑n	∑n	PROPN
ejpam-3350	120	2	i=1	i=1	PROPN
ejpam-3350	120	3	c	c	PROPN
ejpam-3350	120	4	n	n	NOUN
ejpam-3350	120	5	1i	1i	NOUN
ejpam-3350	120	6	(	(	PUNCT
ejpam-3350	120	7	t)ωi	t)ωi	PROPN
ejpam-3350	120	8	(	(	PUNCT
ejpam-3350	120	9	x	x	NOUN
ejpam-3350	120	10	)	)	PUNCT
ejpam-3350	120	11	and	and	CCONJ
ejpam-3350	120	12	δθn	δθn	NOUN
ejpam-3350	120	13	(	(	PUNCT
ejpam-3350	120	14	x	x	NOUN
ejpam-3350	120	15	,	,	PUNCT
ejpam-3350	120	16	t	t	PROPN
ejpam-3350	120	17	)	)	PUNCT
ejpam-3350	120	18	=	=	SYM
ejpam-3350	121	1	∑n	∑n	PROPN
ejpam-3350	122	1	i=1	i=1	PROPN
ejpam-3350	122	2	c	c	NOUN
ejpam-3350	122	3	n	n	ADP
ejpam-3350	122	4	2i	2i	NUM
ejpam-3350	122	5	(	(	PUNCT
ejpam-3350	122	6	t)ωi	t)ωi	PROPN
ejpam-3350	122	7	(	(	PUNCT
ejpam-3350	122	8	x	x	NOUN
ejpam-3350	122	9	)	)	PUNCT
ejpam-3350	122	10	from	from	ADP
ejpam-3350	122	11	the	the	DET
ejpam-3350	122	12	following	follow	VERB
ejpam-3350	122	13	relations	relation	NOUN
ejpam-3350	122	14	∫	∫	PROPN
ejpam-3350	122	15	l	l	NOUN
ejpam-3350	122	16	0	0	PUNCT
ejpam-3350	123	1	(	(	PUNCT
ejpam-3350	123	2	e	e	X
ejpam-3350	123	3	(	(	PUNCT
ejpam-3350	123	4	x	x	X
ejpam-3350	123	5	)	)	PUNCT
ejpam-3350	123	6	i	i	PRON
ejpam-3350	123	7	(	(	PUNCT
ejpam-3350	123	8	x	x	X
ejpam-3350	123	9	)	)	PUNCT
ejpam-3350	123	10	∂2δyn	∂2δyn	VERB
ejpam-3350	124	1	∂x2	∂x2	NOUN
ejpam-3350	124	2	d2ωp(x	d2ωp(x	NOUN
ejpam-3350	124	3	)	)	PUNCT
ejpam-3350	124	4	∂x2	∂x2	NOUN
ejpam-3350	124	5	+	+	X
ejpam-3350	124	6	ρ	ρ	PROPN
ejpam-3350	124	7	(	(	PUNCT
ejpam-3350	124	8	x)a	x)a	X
ejpam-3350	124	9	(	(	PUNCT
ejpam-3350	124	10	x	x	X
ejpam-3350	124	11	)	)	PUNCT
ejpam-3350	124	12	∂2δyn	∂2δyn	NOUN
ejpam-3350	124	13	∂t2	∂t2	NOUN
ejpam-3350	124	14	ωp(x)−	ωp(x)−	PROPN
ejpam-3350	124	15	−	−	PROPN
ejpam-3350	124	16	ρ	ρ	PROPN
ejpam-3350	124	17	(	(	PUNCT
ejpam-3350	124	18	x)a	x)a	X
ejpam-3350	124	19	(	(	PUNCT
ejpam-3350	124	20	x	x	X
ejpam-3350	124	21	)	)	PUNCT
ejpam-3350	124	22	e	e	NOUN
ejpam-3350	124	23	(	(	PUNCT
ejpam-3350	124	24	x	x	NOUN
ejpam-3350	124	25	)	)	PUNCT
ejpam-3350	124	26	∂2δθn	∂2δθn	NOUN
ejpam-3350	124	27	∂t2	∂t2	NOUN
ejpam-3350	124	28	ωp(x	ωp(x	NUM
ejpam-3350	124	29	)	)	PUNCT
ejpam-3350	124	30	)	)	PUNCT
ejpam-3350	124	31	dx	dx	PROPN
ejpam-3350	124	32	=	=	SYM
ejpam-3350	124	33	0	0	PROPN
ejpam-3350	124	34	,	,	PUNCT
ejpam-3350	124	35	p	p	NOUN
ejpam-3350	124	36	=	=	NOUN
ejpam-3350	124	37	1	1	NUM
ejpam-3350	124	38	,	,	PUNCT
ejpam-3350	124	39	n	n	CCONJ
ejpam-3350	124	40	,	,	PUNCT
ejpam-3350	124	41	(	(	PUNCT
ejpam-3350	124	42	33	33	NUM
ejpam-3350	124	43	)	)	PUNCT
ejpam-3350	124	44	∫	∫	PROPN
ejpam-3350	125	1	l	l	NOUN
ejpam-3350	125	2	0	0	PUNCT
ejpam-3350	126	1	(	(	PUNCT
ejpam-3350	126	2	e	e	X
ejpam-3350	126	3	(	(	PUNCT
ejpam-3350	126	4	x)cw	x)cw	PROPN
ejpam-3350	126	5	(	(	PUNCT
ejpam-3350	126	6	x	x	X
ejpam-3350	126	7	)	)	PUNCT
ejpam-3350	126	8	∂2δθn	∂2δθn	VERB
ejpam-3350	126	9	∂x2	∂x2	NOUN
ejpam-3350	126	10	d2ωp(x	d2ωp(x	NOUN
ejpam-3350	126	11	)	)	PUNCT
ejpam-3350	126	12	∂x2	∂x2	NOUN
ejpam-3350	126	13	−	−	NOUN
ejpam-3350	126	14	g	g	PROPN
ejpam-3350	126	15	(	(	PUNCT
ejpam-3350	126	16	x)c	x)c	X
ejpam-3350	126	17	(	(	PUNCT
ejpam-3350	126	18	x	x	X
ejpam-3350	126	19	)	)	PUNCT
ejpam-3350	126	20	δθn	δθn	ADJ
ejpam-3350	126	21	d2ωp(x	d2ωp(x	PROPN
ejpam-3350	126	22	)	)	PUNCT
ejpam-3350	126	23	∂x2	∂x2	NOUN
ejpam-3350	126	24	−	−	NOUN
ejpam-3350	126	25	−ρ	−ρ	NOUN
ejpam-3350	126	26	(	(	PUNCT
ejpam-3350	126	27	x)a	x)a	X
ejpam-3350	126	28	(	(	PUNCT
ejpam-3350	126	29	x	x	X
ejpam-3350	126	30	)	)	PUNCT
ejpam-3350	126	31	e	e	NOUN
ejpam-3350	126	32	(	(	PUNCT
ejpam-3350	126	33	x	x	NOUN
ejpam-3350	126	34	)	)	PUNCT
ejpam-3350	126	35	∂2δyn	∂2δyn	NOUN
ejpam-3350	126	36	∂t2	∂t2	NOUN
ejpam-3350	126	37	ωp(x)+	ωp(x)+	VERB
ejpam-3350	126	38	ρ	ρ	NOUN
ejpam-3350	126	39	(	(	PUNCT
ejpam-3350	126	40	x	x	NOUN
ejpam-3350	126	41	)	)	PUNCT
ejpam-3350	126	42	(	(	PUNCT
ejpam-3350	126	43	i	i	PRON
ejpam-3350	126	44	(	(	PUNCT
ejpam-3350	126	45	x	x	X
ejpam-3350	126	46	)	)	PUNCT
ejpam-3350	126	47	+	+	ADP
ejpam-3350	126	48	a	a	DET
ejpam-3350	126	49	(	(	PUNCT
ejpam-3350	126	50	x	x	NOUN
ejpam-3350	126	51	)	)	PUNCT
ejpam-3350	126	52	e2	e2	PROPN
ejpam-3350	126	53	(	(	PUNCT
ejpam-3350	126	54	x	x	NOUN
ejpam-3350	126	55	)	)	PUNCT
ejpam-3350	126	56	)	)	PUNCT
ejpam-3350	126	57	∂2δθn	∂2δθn	VERB
ejpam-3350	126	58	∂t2	∂t2	NOUN
ejpam-3350	126	59	ωp(x	ωp(x	NUM
ejpam-3350	126	60	)	)	PUNCT
ejpam-3350	126	61	)	)	PUNCT
ejpam-3350	126	62	dx	dx	PROPN
ejpam-3350	127	1	=	=	PUNCT
ejpam-3350	127	2	0	0	PUNCT
ejpam-3350	128	1	p	p	NOUN
ejpam-3350	128	2	=	=	NOUN
ejpam-3350	128	3	1	1	NUM
ejpam-3350	128	4	,	,	PUNCT
ejpam-3350	128	5	n	n	CCONJ
ejpam-3350	128	6	,	,	PUNCT
ejpam-3350	128	7	(	(	PUNCT
ejpam-3350	128	8	34	34	NUM
ejpam-3350	128	9	)	)	PUNCT
ejpam-3350	128	10	a.t	a.t	PROPN
ejpam-3350	128	11	.	.	PROPN
ejpam-3350	128	12	ramazanova	ramazanova	PROPN
ejpam-3350	128	13	/	/	SYM
ejpam-3350	128	14	eur	eur	PROPN
ejpam-3350	128	15	.	.	PUNCT
ejpam-3350	129	1	j.	j.	PROPN
ejpam-3350	129	2	pure	pure	PROPN
ejpam-3350	129	3	appl	appl	PROPN
ejpam-3350	129	4	.	.	PROPN
ejpam-3350	129	5	math	math	PROPN
ejpam-3350	129	6	,	,	PUNCT
ejpam-3350	129	7	12	12	NUM
ejpam-3350	129	8	(	(	PUNCT
ejpam-3350	129	9	1	1	NUM
ejpam-3350	129	10	)	)	PUNCT
ejpam-3350	129	11	(	(	PUNCT
ejpam-3350	129	12	2019	2019	NUM
ejpam-3350	129	13	)	)	PUNCT
ejpam-3350	129	14	,	,	PUNCT
ejpam-3350	129	15	25	25	NUM
ejpam-3350	129	16	-	-	SYM
ejpam-3350	129	17	38	38	NUM
ejpam-3350	129	18	32	32	NUM
ejpam-3350	129	19	cn1i	cn1i	NUM
ejpam-3350	129	20	∣∣	∣∣	X
ejpam-3350	129	21	t=0	t=0	X
ejpam-3350	129	22	=	=	SYM
ejpam-3350	129	23	0	0	NUM
ejpam-3350	129	24	,	,	PUNCT
ejpam-3350	129	25	dcn1i	dcn1i	PROPN
ejpam-3350	129	26	(	(	PUNCT
ejpam-3350	129	27	t	t	NOUN
ejpam-3350	129	28	)	)	PUNCT
ejpam-3350	129	29	dt	dt	PUNCT
ejpam-3350	129	30	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	129	31	t=0	t=0	VERB
ejpam-3350	129	32	=	=	SYM
ejpam-3350	129	33	(	(	PUNCT
ejpam-3350	129	34	v1	v1	PROPN
ejpam-3350	129	35	,	,	PUNCT
ejpam-3350	129	36	ωi	ωi	NOUN
ejpam-3350	129	37	)	)	PUNCT
ejpam-3350	129	38	,	,	PUNCT
ejpam-3350	129	39	(	(	PUNCT
ejpam-3350	129	40	35	35	NUM
ejpam-3350	129	41	)	)	PUNCT
ejpam-3350	129	42	cn2i	cn2i	PROPN
ejpam-3350	129	43	∣∣	∣∣	X
ejpam-3350	129	44	t=0	t=0	X
ejpam-3350	129	45	=	=	SYM
ejpam-3350	129	46	0	0	NUM
ejpam-3350	129	47	,	,	PUNCT
ejpam-3350	129	48	dcn2i	dcn2i	PROPN
ejpam-3350	129	49	(	(	PUNCT
ejpam-3350	129	50	t	t	NOUN
ejpam-3350	129	51	)	)	PUNCT
ejpam-3350	129	52	dt	dt	PUNCT
ejpam-3350	129	53	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	129	54	t=0	t=0	VERB
ejpam-3350	129	55	=	=	SYM
ejpam-3350	129	56	(	(	PUNCT
ejpam-3350	129	57	w1	w1	NOUN
ejpam-3350	129	58	,	,	PUNCT
ejpam-3350	129	59	ωi	ωi	PROPN
ejpam-3350	129	60	)	)	PUNCT
ejpam-3350	129	61	,	,	PUNCT
ejpam-3350	129	62	i	i	PRON
ejpam-3350	129	63	=	=	NOUN
ejpam-3350	129	64	1	1	NUM
ejpam-3350	129	65	,	,	PUNCT
ejpam-3350	129	66	n.	n.	NOUN
ejpam-3350	129	67	(	(	PUNCT
ejpam-3350	129	68	36	36	NUM
ejpam-3350	129	69	)	)	PUNCT
ejpam-3350	129	70	equalities	equality	NOUN
ejpam-3350	129	71	(	(	PUNCT
ejpam-3350	129	72	33	33	NUM
ejpam-3350	129	73	)	)	PUNCT
ejpam-3350	129	74	and	and	CCONJ
ejpam-3350	129	75	(	(	PUNCT
ejpam-3350	129	76	34	34	NUM
ejpam-3350	129	77	)	)	PUNCT
ejpam-3350	129	78	are	be	AUX
ejpam-3350	129	79	the	the	DET
ejpam-3350	129	80	system	system	NOUN
ejpam-3350	129	81	of	of	ADP
ejpam-3350	129	82	linear	linear	ADJ
ejpam-3350	129	83	ordinary	ordinary	ADJ
ejpam-3350	129	84	differential	differential	ADJ
ejpam-3350	129	85	equations	equation	NOUN
ejpam-3350	129	86	of	of	ADP
ejpam-3350	129	87	second	second	ADJ
ejpam-3350	129	88	order	order	NOUN
ejpam-3350	129	89	with	with	ADP
ejpam-3350	129	90	the	the	DET
ejpam-3350	129	91	unknowns	unknown	NOUN
ejpam-3350	129	92	cn1i	cn1i	PROPN
ejpam-3350	129	93	(	(	PUNCT
ejpam-3350	129	94	t	t	PROPN
ejpam-3350	129	95	)	)	PUNCT
ejpam-3350	129	96	and	and	CCONJ
ejpam-3350	129	97	cn2i	cn2i	PROPN
ejpam-3350	129	98	(	(	PUNCT
ejpam-3350	129	99	t	t	PROPN
ejpam-3350	129	100	)	)	PUNCT
ejpam-3350	129	101	,	,	PUNCT
ejpam-3350	129	102	i	i	PRON
ejpam-3350	129	103	=	=	NOUN
ejpam-3350	129	104	1	1	NUM
ejpam-3350	129	105	,	,	PUNCT
ejpam-3350	129	106	n	n	PRON
ejpam-3350	129	107	solved	solve	VERB
ejpam-3350	129	108	with	with	ADP
ejpam-3350	129	109	respect	respect	NOUN
ejpam-3350	129	110	to	to	ADP
ejpam-3350	129	111	d2cn1i	d2cn1i	PROPN
ejpam-3350	129	112	/	/	SYM
ejpam-3350	129	113	dt2	dt2	PROPN
ejpam-3350	129	114	and	and	CCONJ
ejpam-3350	129	115	d2cn2i	d2cn2i	PROPN
ejpam-3350	129	116	/	/	SYM
ejpam-3350	129	117	dt2	dt2	PROPN
ejpam-3350	129	118	.	.	PUNCT
ejpam-3350	130	1	under	under	ADP
ejpam-3350	130	2	the	the	DET
ejpam-3350	130	3	conditions	condition	NOUN
ejpam-3350	130	4	on	on	ADP
ejpam-3350	130	5	the	the	DET
ejpam-3350	130	6	problem	problem	NOUN
ejpam-3350	130	7	data	datum	NOUN
ejpam-3350	130	8	,	,	PUNCT
ejpam-3350	130	9	this	this	DET
ejpam-3350	130	10	system	system	NOUN
ejpam-3350	130	11	is	be	AUX
ejpam-3350	130	12	uniquely	uniquely	ADV
ejpam-3350	130	13	solvable	solvable	ADJ
ejpam-3350	130	14	under	under	ADP
ejpam-3350	130	15	initial	initial	ADJ
ejpam-3350	130	16	conditions	condition	NOUN
ejpam-3350	130	17	(	(	PUNCT
ejpam-3350	130	18	35	35	NUM
ejpam-3350	130	19	)	)	PUNCT
ejpam-3350	130	20	and	and	CCONJ
ejpam-3350	130	21	(	(	PUNCT
ejpam-3350	130	22	36	36	NUM
ejpam-3350	130	23	)	)	PUNCT
ejpam-3350	130	24	,	,	PUNCT
ejpam-3350	130	25	moreover	moreover	ADV
ejpam-3350	130	26	d2cn1i	d2cn1i	PROPN
ejpam-3350	130	27	/	/	SYM
ejpam-3350	130	28	dt2	dt2	PROPN
ejpam-3350	130	29	,	,	PUNCT
ejpam-3350	130	30	d2cn2i	d2cn2i	ADP
ejpam-3350	130	31	/	/	SYM
ejpam-3350	130	32	dt2	dt2	PROPN
ejpam-3350	130	33	∈	∈	PROPN
ejpam-3350	130	34	l2	l2	NOUN
ejpam-3350	130	35	(	(	PUNCT
ejpam-3350	130	36	0	0	NUM
ejpam-3350	130	37	,	,	PUNCT
ejpam-3350	130	38	t	t	PROPN
ejpam-3350	130	39	)	)	PUNCT
ejpam-3350	130	40	,	,	PUNCT
ejpam-3350	130	41	i	i	PRON
ejpam-3350	130	42	=	=	NOUN
ejpam-3350	130	43	1	1	NUM
ejpam-3350	130	44	,	,	PUNCT
ejpam-3350	130	45	n.	n.	NOUN
ejpam-3350	130	46	multiplying	multiply	VERB
ejpam-3350	130	47	each	each	PRON
ejpam-3350	130	48	of	of	ADP
ejpam-3350	130	49	the	the	DET
ejpam-3350	130	50	equalities	equality	NOUN
ejpam-3350	130	51	(	(	PUNCT
ejpam-3350	130	52	33	33	NUM
ejpam-3350	130	53	)	)	PUNCT
ejpam-3350	130	54	and	and	CCONJ
ejpam-3350	130	55	(	(	PUNCT
ejpam-3350	130	56	34	34	NUM
ejpam-3350	130	57	)	)	PUNCT
ejpam-3350	130	58	by	by	ADP
ejpam-3350	130	59	its	its	PRON
ejpam-3350	130	60	own	own	ADJ
ejpam-3350	130	61	dcn1p	dcn1p	PROPN
ejpam-3350	130	62	/	/	SYM
ejpam-3350	130	63	dt	dt	PROPN
ejpam-3350	130	64	,	,	PUNCT
ejpam-3350	130	65	dcn2p	dcn2p	PROPN
ejpam-3350	130	66	/	/	SYM
ejpam-3350	130	67	dt	dt	X
ejpam-3350	130	68	and	and	CCONJ
ejpam-3350	130	69	summing	sum	VERB
ejpam-3350	130	70	over	over	ADP
ejpam-3350	130	71	p	p	NOUN
ejpam-3350	130	72	from	from	ADP
ejpam-3350	130	73	1	1	NUM
ejpam-3350	130	74	to	to	ADP
ejpam-3350	130	75	n	n	PRON
ejpam-3350	130	76	we	we	PRON
ejpam-3350	130	77	come	come	VERB
ejpam-3350	130	78	to	to	ADP
ejpam-3350	130	79	the	the	DET
ejpam-3350	130	80	equalities∫	equalities∫	NOUN
ejpam-3350	130	81	l	l	NOUN
ejpam-3350	130	82	0	0	PUNCT
ejpam-3350	131	1	(	(	PUNCT
ejpam-3350	131	2	e	e	X
ejpam-3350	131	3	(	(	PUNCT
ejpam-3350	131	4	x	x	X
ejpam-3350	131	5	)	)	PUNCT
ejpam-3350	131	6	i	i	PRON
ejpam-3350	131	7	(	(	PUNCT
ejpam-3350	131	8	x	x	X
ejpam-3350	131	9	)	)	PUNCT
ejpam-3350	131	10	∂2δyn	∂2δyn	VERB
ejpam-3350	131	11	∂x2	∂x2	NOUN
ejpam-3350	131	12	∂3δyn	∂3δyn	NOUN
ejpam-3350	131	13	∂x2∂t	∂x2∂t	PROPN
ejpam-3350	131	14	+	+	PROPN
ejpam-3350	131	15	ρ	ρ	PROPN
ejpam-3350	131	16	(	(	PUNCT
ejpam-3350	131	17	x)a	x)a	X
ejpam-3350	131	18	(	(	PUNCT
ejpam-3350	131	19	x	x	X
ejpam-3350	131	20	)	)	PUNCT
ejpam-3350	131	21	∂2δyn	∂2δyn	PROPN
ejpam-3350	131	22	∂t2	∂t2	NOUN
ejpam-3350	131	23	∂δyn	∂δyn	PUNCT
ejpam-3350	131	24	∂t	∂t	PROPN
ejpam-3350	131	25	−	−	PROPN
ejpam-3350	131	26	−ρ	−ρ	NOUN
ejpam-3350	131	27	(	(	PUNCT
ejpam-3350	131	28	x)a	x)a	X
ejpam-3350	131	29	(	(	PUNCT
ejpam-3350	131	30	x	x	X
ejpam-3350	131	31	)	)	PUNCT
ejpam-3350	131	32	e	e	NOUN
ejpam-3350	131	33	(	(	PUNCT
ejpam-3350	131	34	x	x	NOUN
ejpam-3350	131	35	)	)	PUNCT
ejpam-3350	131	36	∂2δθn	∂2δθn	NOUN
ejpam-3350	131	37	∂t2	∂t2	NOUN
ejpam-3350	131	38	∂δyn	∂δyn	X
ejpam-3350	131	39	∂t	∂t	PROPN
ejpam-3350	131	40	)	)	PUNCT
ejpam-3350	131	41	dx	dx	PROPN
ejpam-3350	131	42	=	=	SYM
ejpam-3350	131	43	0	0	PROPN
ejpam-3350	131	44	,	,	PUNCT
ejpam-3350	131	45	(	(	PUNCT
ejpam-3350	131	46	37	37	NUM
ejpam-3350	131	47	)	)	PUNCT
ejpam-3350	131	48	∫	∫	PROPN
ejpam-3350	132	1	l	l	NOUN
ejpam-3350	132	2	0	0	PUNCT
ejpam-3350	133	1	(	(	PUNCT
ejpam-3350	133	2	e	e	X
ejpam-3350	133	3	(	(	PUNCT
ejpam-3350	133	4	x)cw	x)cw	PROPN
ejpam-3350	133	5	(	(	PUNCT
ejpam-3350	133	6	x	x	NOUN
ejpam-3350	133	7	)	)	PUNCT
ejpam-3350	133	8	∂2δθn	∂2δθn	PUNCT
ejpam-3350	133	9	∂x2	∂x2	NOUN
ejpam-3350	133	10	∂3δθn	∂3δθn	NOUN
ejpam-3350	133	11	∂x2∂t	∂x2∂t	VERB
ejpam-3350	133	12	−	−	PROPN
ejpam-3350	133	13	g	g	NOUN
ejpam-3350	133	14	(	(	PUNCT
ejpam-3350	133	15	x)c	x)c	X
ejpam-3350	133	16	(	(	PUNCT
ejpam-3350	133	17	x	x	X
ejpam-3350	133	18	)	)	PUNCT
ejpam-3350	133	19	δθn	δθn	PRON
ejpam-3350	133	20	∂3δθn	∂3δθn	PROPN
ejpam-3350	134	1	∂x2∂t	∂x2∂t	PROPN
ejpam-3350	134	2	−	−	PROPN
ejpam-3350	134	3	ρ	ρ	PROPN
ejpam-3350	134	4	(	(	PUNCT
ejpam-3350	134	5	x)a	x)a	X
ejpam-3350	134	6	(	(	PUNCT
ejpam-3350	134	7	x	x	X
ejpam-3350	134	8	)	)	PUNCT
ejpam-3350	134	9	e	e	NOUN
ejpam-3350	134	10	(	(	PUNCT
ejpam-3350	134	11	x	x	NOUN
ejpam-3350	134	12	)	)	PUNCT
ejpam-3350	134	13	∂2δyn	∂2δyn	PROPN
ejpam-3350	134	14	∂t2	∂t2	PROPN
ejpam-3350	134	15	∂δθn	∂δθn	PUNCT
ejpam-3350	135	1	∂t	∂t	PROPN
ejpam-3350	135	2	+	+	CCONJ
ejpam-3350	135	3	+	+	NUM
ejpam-3350	135	4	ρ	ρ	PROPN
ejpam-3350	135	5	(	(	PUNCT
ejpam-3350	135	6	x	x	NOUN
ejpam-3350	135	7	)	)	PUNCT
ejpam-3350	135	8	(	(	PUNCT
ejpam-3350	135	9	i	i	PRON
ejpam-3350	135	10	(	(	PUNCT
ejpam-3350	135	11	x	x	X
ejpam-3350	135	12	)	)	PUNCT
ejpam-3350	135	13	+	+	ADP
ejpam-3350	135	14	a	a	DET
ejpam-3350	135	15	(	(	PUNCT
ejpam-3350	135	16	x	x	NOUN
ejpam-3350	135	17	)	)	PUNCT
ejpam-3350	135	18	e2	e2	PROPN
ejpam-3350	135	19	(	(	PUNCT
ejpam-3350	135	20	x	x	NOUN
ejpam-3350	135	21	)	)	PUNCT
ejpam-3350	135	22	)	)	PUNCT
ejpam-3350	135	23	∂2δθn	∂2δθn	VERB
ejpam-3350	135	24	∂t2	∂t2	NOUN
ejpam-3350	135	25	∂δθn	∂δθn	X
ejpam-3350	135	26	∂t	∂t	PROPN
ejpam-3350	135	27	)	)	PUNCT
ejpam-3350	135	28	dx	dx	PROPN
ejpam-3350	136	1	=	=	SYM
ejpam-3350	136	2	0	0	PROPN
ejpam-3350	136	3	(	(	PUNCT
ejpam-3350	136	4	38	38	NUM
ejpam-3350	136	5	)	)	PUNCT
ejpam-3350	136	6	suppose	suppose	VERB
ejpam-3350	136	7	that	that	SCONJ
ejpam-3350	136	8	g	g	PROPN
ejpam-3350	136	9	(	(	PUNCT
ejpam-3350	136	10	x)c	x)c	X
ejpam-3350	136	11	(	(	PUNCT
ejpam-3350	136	12	x	x	X
ejpam-3350	136	13	)	)	PUNCT
ejpam-3350	136	14	are	be	AUX
ejpam-3350	136	15	independent	independent	ADJ
ejpam-3350	136	16	of	of	ADP
ejpam-3350	136	17	x.	x.	NOUN
ejpam-3350	136	18	then	then	ADV
ejpam-3350	136	19	it	it	PRON
ejpam-3350	136	20	follows	follow	VERB
ejpam-3350	136	21	that	that	SCONJ
ejpam-3350	136	22	1	1	NUM
ejpam-3350	136	23	2	2	NUM
ejpam-3350	136	24	d	d	NOUN
ejpam-3350	136	25	dt	dt	X
ejpam-3350	136	26	∫	∫	PROPN
ejpam-3350	136	27	l	l	NOUN
ejpam-3350	136	28	0	0	PUNCT
ejpam-3350	137	1	[	[	PUNCT
ejpam-3350	137	2	(	(	PUNCT
ejpam-3350	137	3	e	e	X
ejpam-3350	137	4	(	(	PUNCT
ejpam-3350	137	5	x	x	X
ejpam-3350	137	6	)	)	PUNCT
ejpam-3350	137	7	i	i	PRON
ejpam-3350	137	8	(	(	PUNCT
ejpam-3350	137	9	x	x	X
ejpam-3350	137	10	)	)	PUNCT
ejpam-3350	137	11	(	(	PUNCT
ejpam-3350	137	12	∂2δyn	∂2δyn	INTJ
ejpam-3350	137	13	∂x2	∂x2	NOUN
ejpam-3350	137	14	)	)	PUNCT
ejpam-3350	137	15	2	2	NUM
ejpam-3350	137	16	+	+	NUM
ejpam-3350	137	17	ρ	ρ	PROPN
ejpam-3350	137	18	(	(	PUNCT
ejpam-3350	137	19	x)a	x)a	X
ejpam-3350	137	20	(	(	PUNCT
ejpam-3350	137	21	x	x	X
ejpam-3350	137	22	)	)	PUNCT
ejpam-3350	137	23	(	(	PUNCT
ejpam-3350	137	24	∂δyn	∂δyn	X
ejpam-3350	137	25	∂t	∂t	PROPN
ejpam-3350	137	26	)	)	PUNCT
ejpam-3350	137	27	2	2	PROPN
ejpam-3350	137	28	+	+	CCONJ
ejpam-3350	137	29	e	e	X
ejpam-3350	137	30	(	(	PUNCT
ejpam-3350	137	31	x)cw	x)cw	PROPN
ejpam-3350	137	32	(	(	PUNCT
ejpam-3350	137	33	x	x	X
ejpam-3350	137	34	)	)	PUNCT
ejpam-3350	137	35	(	(	PUNCT
ejpam-3350	137	36	∂2δθn	∂2δθn	VERB
ejpam-3350	137	37	∂x2	∂x2	NOUN
ejpam-3350	137	38	)	)	PUNCT
ejpam-3350	137	39	2	2	NUM
ejpam-3350	138	1	+	+	CCONJ
ejpam-3350	138	2	+	+	ADJ
ejpam-3350	138	3	gc	gc	PROPN
ejpam-3350	138	4	(	(	PUNCT
ejpam-3350	138	5	∂δθn	∂δθn	PUNCT
ejpam-3350	138	6	∂x	∂x	PROPN
ejpam-3350	138	7	)	)	PUNCT
ejpam-3350	138	8	2	2	PROPN
ejpam-3350	139	1	+	+	NUM
ejpam-3350	139	2	ρ	ρ	PROPN
ejpam-3350	139	3	(	(	PUNCT
ejpam-3350	139	4	x	x	NOUN
ejpam-3350	139	5	)	)	PUNCT
ejpam-3350	139	6	(	(	PUNCT
ejpam-3350	139	7	i	i	PRON
ejpam-3350	139	8	(	(	PUNCT
ejpam-3350	139	9	x	x	X
ejpam-3350	139	10	)	)	PUNCT
ejpam-3350	139	11	+	+	ADP
ejpam-3350	139	12	a	a	DET
ejpam-3350	139	13	(	(	PUNCT
ejpam-3350	139	14	x	x	NOUN
ejpam-3350	139	15	)	)	PUNCT
ejpam-3350	139	16	e2	e2	PROPN
ejpam-3350	139	17	(	(	PUNCT
ejpam-3350	139	18	x	x	NOUN
ejpam-3350	139	19	)	)	PUNCT
ejpam-3350	139	20	)	)	PUNCT
ejpam-3350	139	21	(	(	PUNCT
ejpam-3350	139	22	∂δθn	∂δθn	X
ejpam-3350	139	23	∂t	∂t	PROPN
ejpam-3350	139	24	)	)	PUNCT
ejpam-3350	139	25	2	2	NUM
ejpam-3350	139	26	−	−	NOUN
ejpam-3350	139	27	−	−	NUM
ejpam-3350	139	28	2ρ	2ρ	NOUN
ejpam-3350	139	29	(	(	PUNCT
ejpam-3350	139	30	x)a	x)a	X
ejpam-3350	139	31	(	(	PUNCT
ejpam-3350	139	32	x	x	X
ejpam-3350	139	33	)	)	PUNCT
ejpam-3350	139	34	e	e	NOUN
ejpam-3350	139	35	(	(	PUNCT
ejpam-3350	139	36	x	x	X
ejpam-3350	139	37	)	)	PUNCT
ejpam-3350	139	38	(	(	PUNCT
ejpam-3350	139	39	∂δyn	∂δyn	X
ejpam-3350	139	40	∂t	∂t	PROPN
ejpam-3350	139	41	∂δθn	∂δθn	X
ejpam-3350	139	42	∂t	∂t	PROPN
ejpam-3350	139	43	)	)	PUNCT
ejpam-3350	139	44	]	]	PUNCT
ejpam-3350	139	45	dx	dx	PROPN
ejpam-3350	140	1	=	=	SYM
ejpam-3350	140	2	0	0	PROPN
ejpam-3350	140	3	.	.	PUNCT
ejpam-3350	141	1	(	(	PUNCT
ejpam-3350	141	2	39	39	NUM
ejpam-3350	141	3	)	)	PUNCT
ejpam-3350	141	4	we	we	PRON
ejpam-3350	141	5	integrate	integrate	VERB
ejpam-3350	141	6	the	the	DET
ejpam-3350	141	7	last	last	ADJ
ejpam-3350	141	8	equality	equality	NOUN
ejpam-3350	141	9	with	with	ADP
ejpam-3350	141	10	respect	respect	NOUN
ejpam-3350	141	11	to	to	ADP
ejpam-3350	141	12	t	t	NOUN
ejpam-3350	141	13	from	from	ADP
ejpam-3350	141	14	0	0	NUM
ejpam-3350	141	15	to	to	ADP
ejpam-3350	141	16	t	t	PROPN
ejpam-3350	141	17	:	:	PUNCT
ejpam-3350	141	18	∫	∫	PROPN
ejpam-3350	141	19	l	l	NOUN
ejpam-3350	141	20	0	0	PUNCT
ejpam-3350	142	1	[	[	PUNCT
ejpam-3350	142	2	(	(	PUNCT
ejpam-3350	142	3	e	e	X
ejpam-3350	142	4	(	(	PUNCT
ejpam-3350	142	5	x	x	X
ejpam-3350	142	6	)	)	PUNCT
ejpam-3350	142	7	i	i	PRON
ejpam-3350	142	8	(	(	PUNCT
ejpam-3350	142	9	x	x	X
ejpam-3350	142	10	)	)	PUNCT
ejpam-3350	142	11	(	(	PUNCT
ejpam-3350	142	12	∂2δyn	∂2δyn	INTJ
ejpam-3350	142	13	∂x2	∂x2	NOUN
ejpam-3350	142	14	)	)	PUNCT
ejpam-3350	142	15	2	2	NUM
ejpam-3350	142	16	+	+	NUM
ejpam-3350	142	17	ρ	ρ	PROPN
ejpam-3350	142	18	(	(	PUNCT
ejpam-3350	142	19	x)a	x)a	X
ejpam-3350	142	20	(	(	PUNCT
ejpam-3350	142	21	x	x	X
ejpam-3350	142	22	)	)	PUNCT
ejpam-3350	142	23	(	(	PUNCT
ejpam-3350	142	24	∂δyn	∂δyn	X
ejpam-3350	142	25	∂t	∂t	PROPN
ejpam-3350	142	26	)	)	PUNCT
ejpam-3350	142	27	2	2	PROPN
ejpam-3350	142	28	+	+	CCONJ
ejpam-3350	142	29	e	e	X
ejpam-3350	142	30	(	(	PUNCT
ejpam-3350	142	31	x)cw	x)cw	PROPN
ejpam-3350	142	32	(	(	PUNCT
ejpam-3350	142	33	x	x	X
ejpam-3350	142	34	)	)	PUNCT
ejpam-3350	142	35	(	(	PUNCT
ejpam-3350	142	36	∂2δθn	∂2δθn	VERB
ejpam-3350	142	37	∂x2	∂x2	NOUN
ejpam-3350	142	38	)	)	PUNCT
ejpam-3350	142	39	2	2	NUM
ejpam-3350	142	40	+	+	SYM
ejpam-3350	142	41	a.t	a.t	PROPN
ejpam-3350	142	42	.	.	PROPN
ejpam-3350	142	43	ramazanova	ramazanova	PROPN
ejpam-3350	142	44	/	/	SYM
ejpam-3350	142	45	eur	eur	PROPN
ejpam-3350	142	46	.	.	PUNCT
ejpam-3350	143	1	j.	j.	PROPN
ejpam-3350	143	2	pure	pure	PROPN
ejpam-3350	143	3	appl	appl	PROPN
ejpam-3350	143	4	.	.	PROPN
ejpam-3350	143	5	math	math	PROPN
ejpam-3350	143	6	,	,	PUNCT
ejpam-3350	143	7	12	12	NUM
ejpam-3350	143	8	(	(	PUNCT
ejpam-3350	143	9	1	1	NUM
ejpam-3350	143	10	)	)	PUNCT
ejpam-3350	143	11	(	(	PUNCT
ejpam-3350	143	12	2019	2019	NUM
ejpam-3350	143	13	)	)	PUNCT
ejpam-3350	143	14	,	,	PUNCT
ejpam-3350	143	15	25	25	NUM
ejpam-3350	143	16	-	-	SYM
ejpam-3350	143	17	38	38	NUM
ejpam-3350	143	18	33	33	NUM
ejpam-3350	143	19	+	+	PROPN
ejpam-3350	143	20	gc	gc	PROPN
ejpam-3350	143	21	(	(	PUNCT
ejpam-3350	143	22	∂δθn	∂δθn	PUNCT
ejpam-3350	143	23	∂x	∂x	PROPN
ejpam-3350	143	24	)	)	PUNCT
ejpam-3350	143	25	2	2	PROPN
ejpam-3350	144	1	+	+	NUM
ejpam-3350	144	2	ρ	ρ	PROPN
ejpam-3350	144	3	(	(	PUNCT
ejpam-3350	144	4	x	x	NOUN
ejpam-3350	144	5	)	)	PUNCT
ejpam-3350	144	6	(	(	PUNCT
ejpam-3350	144	7	i	i	PRON
ejpam-3350	144	8	(	(	PUNCT
ejpam-3350	144	9	x	x	X
ejpam-3350	144	10	)	)	PUNCT
ejpam-3350	144	11	+	+	ADP
ejpam-3350	144	12	a	a	DET
ejpam-3350	144	13	(	(	PUNCT
ejpam-3350	144	14	x	x	NOUN
ejpam-3350	144	15	)	)	PUNCT
ejpam-3350	144	16	e2	e2	PROPN
ejpam-3350	144	17	(	(	PUNCT
ejpam-3350	144	18	x	x	NOUN
ejpam-3350	144	19	)	)	PUNCT
ejpam-3350	144	20	)	)	PUNCT
ejpam-3350	144	21	(	(	PUNCT
ejpam-3350	144	22	∂δθn	∂δθn	X
ejpam-3350	144	23	∂t	∂t	PROPN
ejpam-3350	144	24	)	)	PUNCT
ejpam-3350	144	25	2	2	NUM
ejpam-3350	144	26	−	−	PROPN
ejpam-3350	144	27	−2ρ	−2ρ	NOUN
ejpam-3350	144	28	(	(	PUNCT
ejpam-3350	144	29	x)a	x)a	X
ejpam-3350	144	30	(	(	PUNCT
ejpam-3350	144	31	x	x	X
ejpam-3350	144	32	)	)	PUNCT
ejpam-3350	144	33	e	e	NOUN
ejpam-3350	144	34	(	(	PUNCT
ejpam-3350	144	35	x	x	X
ejpam-3350	144	36	)	)	PUNCT
ejpam-3350	144	37	(	(	PUNCT
ejpam-3350	144	38	∂δyn	∂δyn	X
ejpam-3350	144	39	∂t	∂t	PROPN
ejpam-3350	144	40	∂δθn	∂δθn	X
ejpam-3350	144	41	∂t	∂t	PROPN
ejpam-3350	144	42	)	)	PUNCT
ejpam-3350	144	43	]	]	PUNCT
ejpam-3350	144	44	dx	dx	PROPN
ejpam-3350	145	1	=	=	PUNCT
ejpam-3350	145	2	=	=	SYM
ejpam-3350	146	1	∫	∫	PROPN
ejpam-3350	146	2	l	l	NOUN
ejpam-3350	146	3	0	0	PUNCT
ejpam-3350	146	4	[	[	PUNCT
ejpam-3350	146	5	ρ	ρ	PROPN
ejpam-3350	146	6	(	(	PUNCT
ejpam-3350	146	7	x)a	x)a	X
ejpam-3350	146	8	(	(	PUNCT
ejpam-3350	146	9	x	x	X
ejpam-3350	146	10	)	)	PUNCT
ejpam-3350	146	11	(	(	PUNCT
ejpam-3350	146	12	∂δyn	∂δyn	X
ejpam-3350	146	13	(	(	PUNCT
ejpam-3350	146	14	x	x	NOUN
ejpam-3350	146	15	,	,	PUNCT
ejpam-3350	146	16	0	0	NUM
ejpam-3350	146	17	)	)	PUNCT
ejpam-3350	146	18	∂t	∂t	NOUN
ejpam-3350	146	19	)	)	PUNCT
ejpam-3350	146	20	2	2	PROPN
ejpam-3350	147	1	+	+	NUM
ejpam-3350	147	2	ρ	ρ	PROPN
ejpam-3350	147	3	(	(	PUNCT
ejpam-3350	147	4	x	x	NOUN
ejpam-3350	147	5	)	)	PUNCT
ejpam-3350	147	6	(	(	PUNCT
ejpam-3350	147	7	i	i	PRON
ejpam-3350	147	8	(	(	PUNCT
ejpam-3350	147	9	x	x	X
ejpam-3350	147	10	)	)	PUNCT
ejpam-3350	147	11	+	+	ADP
ejpam-3350	147	12	a	a	DET
ejpam-3350	147	13	(	(	PUNCT
ejpam-3350	147	14	x	x	NOUN
ejpam-3350	147	15	)	)	PUNCT
ejpam-3350	147	16	e2	e2	PROPN
ejpam-3350	147	17	(	(	PUNCT
ejpam-3350	147	18	x	x	NOUN
ejpam-3350	147	19	)	)	PUNCT
ejpam-3350	147	20	)	)	PUNCT
ejpam-3350	147	21	(	(	PUNCT
ejpam-3350	147	22	∂δθn	∂δθn	X
ejpam-3350	147	23	(	(	PUNCT
ejpam-3350	147	24	x	x	X
ejpam-3350	147	25	,	,	PUNCT
ejpam-3350	147	26	0	0	NUM
ejpam-3350	147	27	)	)	PUNCT
ejpam-3350	147	28	∂t	∂t	PROPN
ejpam-3350	147	29	)	)	PUNCT
ejpam-3350	147	30	2	2	NUM
ejpam-3350	147	31	−	−	NOUN
ejpam-3350	147	32	−	−	NUM
ejpam-3350	147	33	2ρ	2ρ	NOUN
ejpam-3350	147	34	(	(	PUNCT
ejpam-3350	147	35	x)a	x)a	X
ejpam-3350	147	36	(	(	PUNCT
ejpam-3350	147	37	x	x	X
ejpam-3350	147	38	)	)	PUNCT
ejpam-3350	147	39	e	e	NOUN
ejpam-3350	147	40	(	(	PUNCT
ejpam-3350	147	41	x	x	X
ejpam-3350	147	42	)	)	PUNCT
ejpam-3350	147	43	(	(	PUNCT
ejpam-3350	147	44	∂δyn	∂δyn	X
ejpam-3350	147	45	(	(	PUNCT
ejpam-3350	147	46	x	x	NOUN
ejpam-3350	147	47	,	,	PUNCT
ejpam-3350	147	48	0	0	NUM
ejpam-3350	147	49	)	)	PUNCT
ejpam-3350	147	50	∂t	∂t	PROPN
ejpam-3350	147	51	∂δθn	∂δθn	NUM
ejpam-3350	147	52	(	(	PUNCT
ejpam-3350	147	53	x	x	X
ejpam-3350	147	54	,	,	PUNCT
ejpam-3350	147	55	0	0	NUM
ejpam-3350	147	56	)	)	PUNCT
ejpam-3350	147	57	∂t	∂t	PROPN
ejpam-3350	147	58	)	)	PUNCT
ejpam-3350	147	59	]	]	PUNCT
ejpam-3350	148	1	dx	dx	PROPN
ejpam-3350	148	2	.	.	PUNCT
ejpam-3350	149	1	(	(	PUNCT
ejpam-3350	149	2	40	40	NUM
ejpam-3350	149	3	)	)	PUNCT
ejpam-3350	149	4	in	in	ADP
ejpam-3350	149	5	equality	equality	NOUN
ejpam-3350	149	6	(	(	PUNCT
ejpam-3350	149	7	40	40	NUM
ejpam-3350	149	8	)	)	PUNCT
ejpam-3350	149	9	we	we	PRON
ejpam-3350	149	10	make	make	VERB
ejpam-3350	149	11	some	some	DET
ejpam-3350	149	12	transformations	transformation	NOUN
ejpam-3350	149	13	:	:	PUNCT
ejpam-3350	149	14	∫	∫	PROPN
ejpam-3350	149	15	l	l	NOUN
ejpam-3350	149	16	0	0	PUNCT
ejpam-3350	150	1	[	[	PUNCT
ejpam-3350	150	2	(	(	PUNCT
ejpam-3350	150	3	e	e	X
ejpam-3350	150	4	(	(	PUNCT
ejpam-3350	150	5	x	x	X
ejpam-3350	150	6	)	)	PUNCT
ejpam-3350	150	7	i	i	PRON
ejpam-3350	150	8	(	(	PUNCT
ejpam-3350	150	9	x	x	X
ejpam-3350	150	10	)	)	PUNCT
ejpam-3350	150	11	(	(	PUNCT
ejpam-3350	150	12	∂2δyn	∂2δyn	INTJ
ejpam-3350	150	13	∂x2	∂x2	NOUN
ejpam-3350	150	14	)	)	PUNCT
ejpam-3350	150	15	2	2	NUM
ejpam-3350	150	16	+	+	NUM
ejpam-3350	150	17	ρ	ρ	PROPN
ejpam-3350	150	18	(	(	PUNCT
ejpam-3350	150	19	x)a	x)a	X
ejpam-3350	150	20	(	(	PUNCT
ejpam-3350	150	21	x	x	X
ejpam-3350	150	22	)	)	PUNCT
ejpam-3350	150	23	(	(	PUNCT
ejpam-3350	150	24	∂δyn	∂δyn	X
ejpam-3350	150	25	∂t	∂t	PROPN
ejpam-3350	150	26	)	)	PUNCT
ejpam-3350	150	27	2	2	PROPN
ejpam-3350	150	28	+	+	CCONJ
ejpam-3350	150	29	e	e	X
ejpam-3350	150	30	(	(	PUNCT
ejpam-3350	150	31	x)cw	x)cw	PROPN
ejpam-3350	150	32	(	(	PUNCT
ejpam-3350	150	33	x	x	X
ejpam-3350	150	34	)	)	PUNCT
ejpam-3350	150	35	(	(	PUNCT
ejpam-3350	150	36	∂2δθn	∂2δθn	VERB
ejpam-3350	150	37	∂x2	∂x2	NOUN
ejpam-3350	150	38	)	)	PUNCT
ejpam-3350	150	39	2	2	NUM
ejpam-3350	151	1	+	+	CCONJ
ejpam-3350	151	2	+	+	ADJ
ejpam-3350	151	3	gc	gc	PROPN
ejpam-3350	151	4	(	(	PUNCT
ejpam-3350	151	5	∂δθn	∂δθn	PUNCT
ejpam-3350	151	6	∂x	∂x	PROPN
ejpam-3350	151	7	)	)	PUNCT
ejpam-3350	151	8	2	2	PROPN
ejpam-3350	152	1	+	+	NUM
ejpam-3350	152	2	ρ	ρ	PROPN
ejpam-3350	152	3	(	(	PUNCT
ejpam-3350	152	4	x	x	NOUN
ejpam-3350	152	5	)	)	PUNCT
ejpam-3350	152	6	(	(	PUNCT
ejpam-3350	152	7	i	i	PRON
ejpam-3350	152	8	(	(	PUNCT
ejpam-3350	152	9	x	x	X
ejpam-3350	152	10	)	)	PUNCT
ejpam-3350	152	11	+	+	ADP
ejpam-3350	152	12	a	a	DET
ejpam-3350	152	13	(	(	PUNCT
ejpam-3350	152	14	x	x	NOUN
ejpam-3350	152	15	)	)	PUNCT
ejpam-3350	152	16	e2	e2	PROPN
ejpam-3350	152	17	(	(	PUNCT
ejpam-3350	152	18	x	x	NOUN
ejpam-3350	152	19	)	)	PUNCT
ejpam-3350	152	20	)	)	PUNCT
ejpam-3350	152	21	(	(	PUNCT
ejpam-3350	152	22	∂δθn	∂δθn	X
ejpam-3350	152	23	∂t	∂t	PROPN
ejpam-3350	152	24	)	)	PUNCT
ejpam-3350	152	25	2	2	NUM
ejpam-3350	152	26	−	−	PROPN
ejpam-3350	152	27	−	−	PROPN
ejpam-3350	152	28	ρ	ρ	PROPN
ejpam-3350	152	29	(	(	PUNCT
ejpam-3350	152	30	x)a	x)a	X
ejpam-3350	152	31	(	(	PUNCT
ejpam-3350	152	32	x	x	X
ejpam-3350	152	33	)	)	PUNCT
ejpam-3350	152	34	e	e	NOUN
ejpam-3350	152	35	(	(	PUNCT
ejpam-3350	152	36	x	x	X
ejpam-3350	152	37	)	)	PUNCT
ejpam-3350	152	38	(	(	PUNCT
ejpam-3350	152	39	(	(	PUNCT
ejpam-3350	152	40	∂δyn	∂δyn	X
ejpam-3350	152	41	∂t	∂t	PROPN
ejpam-3350	152	42	)	)	PUNCT
ejpam-3350	152	43	2	2	NUM
ejpam-3350	152	44	+	+	CCONJ
ejpam-3350	152	45	(	(	PUNCT
ejpam-3350	152	46	∂δθn	∂δθn	PUNCT
ejpam-3350	152	47	∂t	∂t	PROPN
ejpam-3350	152	48	)	)	PUNCT
ejpam-3350	152	49	2	2	NUM
ejpam-3350	152	50	)	)	PUNCT
ejpam-3350	152	51	]	]	PUNCT
ejpam-3350	152	52	dx	dx	PROPN
ejpam-3350	152	53	≤	≤	PROPN
ejpam-3350	152	54	≤	≤	NUM
ejpam-3350	152	55	∫	∫	PROPN
ejpam-3350	152	56	l	l	NOUN
ejpam-3350	152	57	0	0	PUNCT
ejpam-3350	153	1	[	[	PUNCT
ejpam-3350	153	2	ρ	ρ	PROPN
ejpam-3350	153	3	(	(	PUNCT
ejpam-3350	153	4	x)a	x)a	X
ejpam-3350	153	5	(	(	PUNCT
ejpam-3350	153	6	x	x	X
ejpam-3350	153	7	)	)	PUNCT
ejpam-3350	153	8	(	(	PUNCT
ejpam-3350	153	9	∂δyn	∂δyn	X
ejpam-3350	153	10	(	(	PUNCT
ejpam-3350	153	11	x	x	NOUN
ejpam-3350	153	12	,	,	PUNCT
ejpam-3350	153	13	0	0	NUM
ejpam-3350	153	14	)	)	PUNCT
ejpam-3350	153	15	∂t	∂t	NOUN
ejpam-3350	153	16	)	)	PUNCT
ejpam-3350	153	17	2	2	PROPN
ejpam-3350	154	1	+	+	NUM
ejpam-3350	154	2	ρ	ρ	PROPN
ejpam-3350	154	3	(	(	PUNCT
ejpam-3350	154	4	x	x	NOUN
ejpam-3350	154	5	)	)	PUNCT
ejpam-3350	154	6	(	(	PUNCT
ejpam-3350	154	7	i	i	PRON
ejpam-3350	154	8	(	(	PUNCT
ejpam-3350	154	9	x	x	X
ejpam-3350	154	10	)	)	PUNCT
ejpam-3350	154	11	+	+	ADP
ejpam-3350	154	12	a	a	DET
ejpam-3350	154	13	(	(	PUNCT
ejpam-3350	154	14	x	x	NOUN
ejpam-3350	154	15	)	)	PUNCT
ejpam-3350	154	16	e2	e2	PROPN
ejpam-3350	154	17	(	(	PUNCT
ejpam-3350	154	18	x	x	NOUN
ejpam-3350	154	19	)	)	PUNCT
ejpam-3350	154	20	)	)	PUNCT
ejpam-3350	154	21	(	(	PUNCT
ejpam-3350	154	22	∂δθn	∂δθn	X
ejpam-3350	154	23	(	(	PUNCT
ejpam-3350	154	24	x	x	X
ejpam-3350	154	25	,	,	PUNCT
ejpam-3350	154	26	0	0	NUM
ejpam-3350	154	27	)	)	PUNCT
ejpam-3350	154	28	∂t	∂t	NOUN
ejpam-3350	154	29	)	)	PUNCT
ejpam-3350	154	30	2	2	NUM
ejpam-3350	155	1	+	+	CCONJ
ejpam-3350	155	2	+	+	NUM
ejpam-3350	155	3	ρ	ρ	PROPN
ejpam-3350	155	4	(	(	PUNCT
ejpam-3350	155	5	x)a	x)a	X
ejpam-3350	155	6	(	(	PUNCT
ejpam-3350	155	7	x	x	X
ejpam-3350	155	8	)	)	PUNCT
ejpam-3350	155	9	e	e	NOUN
ejpam-3350	155	10	(	(	PUNCT
ejpam-3350	155	11	x	x	X
ejpam-3350	155	12	)	)	PUNCT
ejpam-3350	155	13	(	(	PUNCT
ejpam-3350	155	14	(	(	PUNCT
ejpam-3350	155	15	∂δyn	∂δyn	X
ejpam-3350	155	16	(	(	PUNCT
ejpam-3350	155	17	x	x	NOUN
ejpam-3350	155	18	,	,	PUNCT
ejpam-3350	155	19	0	0	NUM
ejpam-3350	155	20	)	)	PUNCT
ejpam-3350	155	21	∂t	∂t	NOUN
ejpam-3350	155	22	)	)	PUNCT
ejpam-3350	155	23	2	2	NUM
ejpam-3350	155	24	+	+	CCONJ
ejpam-3350	155	25	(	(	PUNCT
ejpam-3350	155	26	∂δθn	∂δθn	NOUN
ejpam-3350	155	27	(	(	PUNCT
ejpam-3350	155	28	x	x	X
ejpam-3350	155	29	,	,	PUNCT
ejpam-3350	155	30	0	0	NUM
ejpam-3350	155	31	)	)	PUNCT
ejpam-3350	155	32	∂t	∂t	PROPN
ejpam-3350	155	33	)	)	PUNCT
ejpam-3350	155	34	2	2	NUM
ejpam-3350	155	35	)	)	PUNCT
ejpam-3350	155	36	]	]	PUNCT
ejpam-3350	156	1	dx	dx	PROPN
ejpam-3350	156	2	.	.	PUNCT
ejpam-3350	157	1	(	(	PUNCT
ejpam-3350	157	2	41	41	NUM
ejpam-3350	157	3	)	)	PUNCT
ejpam-3350	157	4	it	it	PRON
ejpam-3350	157	5	’s	’	VERB
ejpam-3350	157	6	clear	clear	ADJ
ejpam-3350	157	7	that	that	SCONJ
ejpam-3350	157	8	,	,	PUNCT
ejpam-3350	157	9	∫	∫	PROPN
ejpam-3350	157	10	l	l	NOUN
ejpam-3350	157	11	0	0	PUNCT
ejpam-3350	157	12	∣∣∣∣∂δyn	∣∣∣∣∂δyn	NOUN
ejpam-3350	157	13	(	(	PUNCT
ejpam-3350	157	14	x	x	X
ejpam-3350	157	15	,	,	PUNCT
ejpam-3350	157	16	0	0	NUM
ejpam-3350	157	17	)	)	PUNCT
ejpam-3350	157	18	∂t	∂t	PROPN
ejpam-3350	157	19	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3350	157	20	dx	dx	PROPN
ejpam-3350	157	21	≤	≤	NUM
ejpam-3350	157	22	∫	∫	PROPN
ejpam-3350	157	23	l	l	NOUN
ejpam-3350	157	24	0	0	NUM
ejpam-3350	158	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3350	158	2	n∑	n∑	PROPN
ejpam-3350	159	1	i=1	i=1	PROPN
ejpam-3350	159	2	(	(	PUNCT
ejpam-3350	159	3	δv1	δv1	PROPN
ejpam-3350	159	4	,	,	PUNCT
ejpam-3350	159	5	ωi)ωi	ωi)ωi	X
ejpam-3350	159	6	(	(	PUNCT
ejpam-3350	159	7	x	x	NOUN
ejpam-3350	159	8	)	)	PUNCT
ejpam-3350	159	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3350	159	10	2	2	NUM
ejpam-3350	159	11	dx	dx	PROPN
ejpam-3350	159	12	≤	≤	NOUN
ejpam-3350	159	13	≤	≤	NUM
ejpam-3350	160	1	c	c	PROPN
ejpam-3350	160	2	n∑	n∑	PROPN
ejpam-3350	161	1	i=1	i=1	PROPN
ejpam-3350	161	2	|δv1i|2	|δv1i|2	ADJ
ejpam-3350	161	3	≤	≤	NUM
ejpam-3350	161	4	c	c	VERB
ejpam-3350	161	5	∞∑	∞∑	NUM
ejpam-3350	161	6	i=1	i=1	PROPN
ejpam-3350	161	7	|δv1i|2	|δv1i|2	ADJ
ejpam-3350	161	8	≤	≤	NOUN
ejpam-3350	161	9	c	c	NOUN
ejpam-3350	161	10	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	NOUN
ejpam-3350	161	11	)	)	PUNCT
ejpam-3350	161	12	,	,	PUNCT
ejpam-3350	161	13	(	(	PUNCT
ejpam-3350	161	14	42	42	NUM
ejpam-3350	161	15	)	)	PUNCT
ejpam-3350	161	16	∫	∫	PROPN
ejpam-3350	162	1	l	l	NOUN
ejpam-3350	162	2	0	0	PUNCT
ejpam-3350	162	3	∣∣∣∣∂δθn	∣∣∣∣∂δθn	X
ejpam-3350	162	4	(	(	PUNCT
ejpam-3350	162	5	x	x	X
ejpam-3350	162	6	,	,	PUNCT
ejpam-3350	162	7	0	0	NUM
ejpam-3350	162	8	)	)	PUNCT
ejpam-3350	162	9	∂t	∂t	PROPN
ejpam-3350	162	10	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-3350	162	11	dx	dx	PROPN
ejpam-3350	162	12	≤	≤	NUM
ejpam-3350	162	13	∫	∫	PROPN
ejpam-3350	162	14	l	l	NOUN
ejpam-3350	162	15	0	0	NUM
ejpam-3350	162	16	∣∣∣∣∣	∣∣∣∣∣	SYM
ejpam-3350	162	17	n∑	n∑	PROPN
ejpam-3350	162	18	i=1	i=1	PROPN
ejpam-3350	162	19	(	(	PUNCT
ejpam-3350	162	20	δw1	δw1	NOUN
ejpam-3350	162	21	,	,	PUNCT
ejpam-3350	162	22	ωi)ωi	ωi)ωi	X
ejpam-3350	162	23	(	(	PUNCT
ejpam-3350	162	24	x	x	NOUN
ejpam-3350	162	25	)	)	PUNCT
ejpam-3350	162	26	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3350	162	27	2	2	NUM
ejpam-3350	162	28	dx	dx	PROPN
ejpam-3350	162	29	≤	≤	PROPN
ejpam-3350	162	30	a.t	a.t	PROPN
ejpam-3350	162	31	.	.	PUNCT
ejpam-3350	162	32	ramazanova	ramazanova	PROPN
ejpam-3350	162	33	/	/	SYM
ejpam-3350	162	34	eur	eur	PROPN
ejpam-3350	162	35	.	.	PUNCT
ejpam-3350	163	1	j.	j.	PROPN
ejpam-3350	163	2	pure	pure	PROPN
ejpam-3350	163	3	appl	appl	PROPN
ejpam-3350	163	4	.	.	PROPN
ejpam-3350	163	5	math	math	PROPN
ejpam-3350	163	6	,	,	PUNCT
ejpam-3350	163	7	12	12	NUM
ejpam-3350	163	8	(	(	PUNCT
ejpam-3350	163	9	1	1	NUM
ejpam-3350	163	10	)	)	PUNCT
ejpam-3350	163	11	(	(	PUNCT
ejpam-3350	163	12	2019	2019	NUM
ejpam-3350	163	13	)	)	PUNCT
ejpam-3350	163	14	,	,	PUNCT
ejpam-3350	163	15	25	25	NUM
ejpam-3350	163	16	-	-	SYM
ejpam-3350	163	17	38	38	NUM
ejpam-3350	163	18	34	34	NUM
ejpam-3350	163	19	≤	≤	NOUN
ejpam-3350	163	20	c	c	PROPN
ejpam-3350	163	21	n∑	n∑	PROPN
ejpam-3350	164	1	i=1	i=1	PROPN
ejpam-3350	165	1	|δw1i|2	|δw1i|2	PROPN
ejpam-3350	166	1	≤	≤	NUM
ejpam-3350	166	2	c	c	VERB
ejpam-3350	166	3	∞∑	∞∑	NUM
ejpam-3350	166	4	i=1	i=1	PROPN
ejpam-3350	166	5	|δw1i|2	|δw1i|2	PROPN
ejpam-3350	166	6	≤	≤	PROPN
ejpam-3350	166	7	c	c	NOUN
ejpam-3350	166	8	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NOUN
ejpam-3350	166	9	)	)	PUNCT
ejpam-3350	166	10	,	,	PUNCT
ejpam-3350	166	11	(	(	PUNCT
ejpam-3350	166	12	43	43	NUM
ejpam-3350	166	13	)	)	PUNCT
ejpam-3350	166	14	where	where	SCONJ
ejpam-3350	166	15	δv1i	δv1i	NOUN
ejpam-3350	166	16	=	=	PUNCT
ejpam-3350	166	17	∫	∫	PROPN
ejpam-3350	166	18	l	l	NOUN
ejpam-3350	166	19	0	0	NUM
ejpam-3350	166	20	δv1	δv1	PROPN
ejpam-3350	166	21	(	(	PUNCT
ejpam-3350	166	22	x)ωi	x)ωi	PROPN
ejpam-3350	166	23	(	(	PUNCT
ejpam-3350	166	24	x	x	X
ejpam-3350	166	25	)	)	PUNCT
ejpam-3350	166	26	dx	dx	PROPN
ejpam-3350	166	27	,	,	PUNCT
ejpam-3350	166	28	δw1i	δw1i	PROPN
ejpam-3350	166	29	=	=	SYM
ejpam-3350	166	30	∫	∫	PROPN
ejpam-3350	167	1	l	l	NOUN
ejpam-3350	167	2	0	0	PUNCT
ejpam-3350	167	3	δw1	δw1	NOUN
ejpam-3350	167	4	(	(	PUNCT
ejpam-3350	167	5	x)ωi	x)ωi	PROPN
ejpam-3350	167	6	(	(	PUNCT
ejpam-3350	167	7	x	x	X
ejpam-3350	167	8	)	)	PUNCT
ejpam-3350	167	9	dx	dx	PROPN
ejpam-3350	167	10	are	be	AUX
ejpam-3350	167	11	fourier	fourier	ADJ
ejpam-3350	167	12	coefficients	coefficient	NOUN
ejpam-3350	167	13	of	of	ADP
ejpam-3350	167	14	the	the	DET
ejpam-3350	167	15	functions	function	NOUN
ejpam-3350	167	16	δv1	δv1	VERB
ejpam-3350	167	17	(	(	PUNCT
ejpam-3350	167	18	x	x	NOUN
ejpam-3350	167	19	)	)	PUNCT
ejpam-3350	167	20	,	,	PUNCT
ejpam-3350	167	21	δw1	δw1	X
ejpam-3350	167	22	(	(	PUNCT
ejpam-3350	167	23	x	x	NOUN
ejpam-3350	167	24	)	)	PUNCT
ejpam-3350	167	25	.	.	PUNCT
ejpam-3350	168	1	from	from	ADP
ejpam-3350	168	2	(	(	PUNCT
ejpam-3350	168	3	41	41	NUM
ejpam-3350	168	4	)	)	PUNCT
ejpam-3350	168	5	,	,	PUNCT
ejpam-3350	168	6	(	(	PUNCT
ejpam-3350	168	7	53	53	NUM
ejpam-3350	168	8	)	)	PUNCT
ejpam-3350	168	9	,	,	PUNCT
ejpam-3350	168	10	(	(	PUNCT
ejpam-3350	168	11	43	43	X
ejpam-3350	168	12	)	)	PUNCT
ejpam-3350	168	13	we	we	PRON
ejpam-3350	168	14	get	get	VERB
ejpam-3350	168	15	:	:	PUNCT
ejpam-3350	168	16	∫	∫	PROPN
ejpam-3350	168	17	l	l	NOUN
ejpam-3350	168	18	0	0	PUNCT
ejpam-3350	169	1	[	[	PUNCT
ejpam-3350	169	2	(	(	PUNCT
ejpam-3350	169	3	e	e	X
ejpam-3350	169	4	(	(	PUNCT
ejpam-3350	169	5	x	x	X
ejpam-3350	169	6	)	)	PUNCT
ejpam-3350	169	7	i	i	PRON
ejpam-3350	169	8	(	(	PUNCT
ejpam-3350	169	9	x	x	X
ejpam-3350	169	10	)	)	PUNCT
ejpam-3350	169	11	(	(	PUNCT
ejpam-3350	169	12	∂2δyn	∂2δyn	INTJ
ejpam-3350	169	13	∂x2	∂x2	NOUN
ejpam-3350	169	14	)	)	PUNCT
ejpam-3350	169	15	2	2	NUM
ejpam-3350	169	16	+	+	NUM
ejpam-3350	169	17	ρ	ρ	PROPN
ejpam-3350	169	18	(	(	PUNCT
ejpam-3350	169	19	x)a	x)a	X
ejpam-3350	169	20	(	(	PUNCT
ejpam-3350	169	21	x	x	X
ejpam-3350	169	22	)	)	PUNCT
ejpam-3350	169	23	(	(	PUNCT
ejpam-3350	169	24	∂δyn	∂δyn	X
ejpam-3350	169	25	∂t	∂t	PROPN
ejpam-3350	169	26	)	)	PUNCT
ejpam-3350	169	27	2	2	PROPN
ejpam-3350	169	28	+	+	CCONJ
ejpam-3350	169	29	e	e	X
ejpam-3350	169	30	(	(	PUNCT
ejpam-3350	169	31	x)cw	x)cw	PROPN
ejpam-3350	169	32	(	(	PUNCT
ejpam-3350	169	33	x	x	X
ejpam-3350	169	34	)	)	PUNCT
ejpam-3350	169	35	(	(	PUNCT
ejpam-3350	169	36	∂2δθn	∂2δθn	VERB
ejpam-3350	169	37	∂x2	∂x2	NOUN
ejpam-3350	169	38	)	)	PUNCT
ejpam-3350	169	39	2	2	NUM
ejpam-3350	170	1	+	+	CCONJ
ejpam-3350	170	2	+	+	ADJ
ejpam-3350	170	3	gc	gc	PROPN
ejpam-3350	170	4	(	(	PUNCT
ejpam-3350	170	5	∂δθn	∂δθn	PUNCT
ejpam-3350	170	6	∂x	∂x	PROPN
ejpam-3350	170	7	)	)	PUNCT
ejpam-3350	170	8	2	2	PROPN
ejpam-3350	171	1	+	+	NUM
ejpam-3350	171	2	ρ	ρ	PROPN
ejpam-3350	171	3	(	(	PUNCT
ejpam-3350	171	4	x	x	NOUN
ejpam-3350	171	5	)	)	PUNCT
ejpam-3350	171	6	(	(	PUNCT
ejpam-3350	171	7	i	i	PRON
ejpam-3350	171	8	(	(	PUNCT
ejpam-3350	171	9	x	x	X
ejpam-3350	171	10	)	)	PUNCT
ejpam-3350	171	11	+	+	ADP
ejpam-3350	171	12	a	a	DET
ejpam-3350	171	13	(	(	PUNCT
ejpam-3350	171	14	x	x	NOUN
ejpam-3350	171	15	)	)	PUNCT
ejpam-3350	171	16	e2	e2	PROPN
ejpam-3350	171	17	(	(	PUNCT
ejpam-3350	171	18	x	x	NOUN
ejpam-3350	171	19	)	)	PUNCT
ejpam-3350	171	20	)	)	PUNCT
ejpam-3350	171	21	(	(	PUNCT
ejpam-3350	171	22	∂δθn	∂δθn	X
ejpam-3350	171	23	∂t	∂t	PROPN
ejpam-3350	171	24	)	)	PUNCT
ejpam-3350	171	25	2	2	NUM
ejpam-3350	171	26	−	−	PROPN
ejpam-3350	171	27	−	−	PROPN
ejpam-3350	171	28	ρ	ρ	PROPN
ejpam-3350	171	29	(	(	PUNCT
ejpam-3350	171	30	x)a	x)a	X
ejpam-3350	171	31	(	(	PUNCT
ejpam-3350	171	32	x	x	X
ejpam-3350	171	33	)	)	PUNCT
ejpam-3350	171	34	e	e	NOUN
ejpam-3350	171	35	(	(	PUNCT
ejpam-3350	171	36	x	x	X
ejpam-3350	171	37	)	)	PUNCT
ejpam-3350	171	38	(	(	PUNCT
ejpam-3350	171	39	(	(	PUNCT
ejpam-3350	171	40	∂δyn	∂δyn	X
ejpam-3350	171	41	∂t	∂t	PROPN
ejpam-3350	171	42	)	)	PUNCT
ejpam-3350	171	43	2	2	NUM
ejpam-3350	171	44	+	+	CCONJ
ejpam-3350	171	45	(	(	PUNCT
ejpam-3350	171	46	∂δθn	∂δθn	PUNCT
ejpam-3350	171	47	∂t	∂t	PROPN
ejpam-3350	171	48	)	)	PUNCT
ejpam-3350	171	49	2	2	NUM
ejpam-3350	171	50	)	)	PUNCT
ejpam-3350	171	51	]	]	PUNCT
ejpam-3350	171	52	dx	dx	PROPN
ejpam-3350	171	53	≤	≤	PROPN
ejpam-3350	171	54	≤	≤	NUM
ejpam-3350	171	55	∫	∫	PROPN
ejpam-3350	171	56	l	l	NOUN
ejpam-3350	171	57	0	0	PUNCT
ejpam-3350	172	1	[	[	PUNCT
ejpam-3350	172	2	ρ	ρ	PROPN
ejpam-3350	172	3	(	(	PUNCT
ejpam-3350	172	4	x)a	x)a	X
ejpam-3350	172	5	(	(	PUNCT
ejpam-3350	172	6	x	x	X
ejpam-3350	172	7	)	)	PUNCT
ejpam-3350	172	8	(	(	PUNCT
ejpam-3350	172	9	∂δyn	∂δyn	X
ejpam-3350	172	10	(	(	PUNCT
ejpam-3350	172	11	x	x	NOUN
ejpam-3350	172	12	,	,	PUNCT
ejpam-3350	172	13	0	0	NUM
ejpam-3350	172	14	)	)	PUNCT
ejpam-3350	172	15	∂t	∂t	NOUN
ejpam-3350	172	16	)	)	PUNCT
ejpam-3350	172	17	2	2	PROPN
ejpam-3350	173	1	+	+	NUM
ejpam-3350	173	2	ρ	ρ	PROPN
ejpam-3350	173	3	(	(	PUNCT
ejpam-3350	173	4	x	x	NOUN
ejpam-3350	173	5	)	)	PUNCT
ejpam-3350	173	6	(	(	PUNCT
ejpam-3350	173	7	i	i	PRON
ejpam-3350	173	8	(	(	PUNCT
ejpam-3350	173	9	x	x	NOUN
ejpam-3350	173	10	)	)	PUNCT
ejpam-3350	174	1	+	+	CCONJ
ejpam-3350	174	2	+	+	ADP
ejpam-3350	174	3	a	a	DET
ejpam-3350	174	4	(	(	PUNCT
ejpam-3350	174	5	x	x	NOUN
ejpam-3350	174	6	)	)	PUNCT
ejpam-3350	174	7	e2	e2	PROPN
ejpam-3350	174	8	(	(	PUNCT
ejpam-3350	174	9	x	x	X
ejpam-3350	174	10	)	)	PUNCT
ejpam-3350	174	11	(	(	PUNCT
ejpam-3350	174	12	∂δθn	∂δθn	X
ejpam-3350	174	13	(	(	PUNCT
ejpam-3350	174	14	x	x	X
ejpam-3350	174	15	,	,	PUNCT
ejpam-3350	174	16	0	0	NUM
ejpam-3350	174	17	)	)	PUNCT
ejpam-3350	174	18	∂t	∂t	NOUN
ejpam-3350	174	19	)	)	PUNCT
ejpam-3350	174	20	2	2	NUM
ejpam-3350	175	1	+	+	CCONJ
ejpam-3350	175	2	+	+	NUM
ejpam-3350	175	3	ρ	ρ	PROPN
ejpam-3350	175	4	(	(	PUNCT
ejpam-3350	175	5	x)a	x)a	X
ejpam-3350	175	6	(	(	PUNCT
ejpam-3350	175	7	x	x	X
ejpam-3350	175	8	)	)	PUNCT
ejpam-3350	175	9	e	e	NOUN
ejpam-3350	175	10	(	(	PUNCT
ejpam-3350	175	11	x	x	X
ejpam-3350	175	12	)	)	PUNCT
ejpam-3350	175	13	(	(	PUNCT
ejpam-3350	175	14	(	(	PUNCT
ejpam-3350	175	15	∂δyn	∂δyn	X
ejpam-3350	175	16	(	(	PUNCT
ejpam-3350	175	17	x	x	NOUN
ejpam-3350	175	18	,	,	PUNCT
ejpam-3350	175	19	0	0	NUM
ejpam-3350	175	20	)	)	PUNCT
ejpam-3350	175	21	∂t	∂t	NOUN
ejpam-3350	175	22	)	)	PUNCT
ejpam-3350	175	23	2	2	NUM
ejpam-3350	175	24	+	+	CCONJ
ejpam-3350	175	25	(	(	PUNCT
ejpam-3350	175	26	∂δθn	∂δθn	NOUN
ejpam-3350	175	27	(	(	PUNCT
ejpam-3350	175	28	x	x	X
ejpam-3350	175	29	,	,	PUNCT
ejpam-3350	175	30	0	0	NUM
ejpam-3350	175	31	)	)	PUNCT
ejpam-3350	175	32	∂t	∂t	PROPN
ejpam-3350	175	33	)	)	PUNCT
ejpam-3350	175	34	2	2	NUM
ejpam-3350	175	35	)	)	PUNCT
ejpam-3350	175	36	]	]	PUNCT
ejpam-3350	175	37	dx	dx	PROPN
ejpam-3350	176	1	≤	≤	PROPN
ejpam-3350	176	2	≤	≤	NUM
ejpam-3350	176	3	c	c	NOUN
ejpam-3350	176	4	(	(	PUNCT
ejpam-3350	176	5	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	176	6	)	)	PUNCT
ejpam-3350	176	7	+	+	NUM
ejpam-3350	176	8	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	176	9	)	)	PUNCT
ejpam-3350	176	10	)	)	PUNCT
ejpam-3350	176	11	(	(	PUNCT
ejpam-3350	176	12	44	44	X
ejpam-3350	176	13	)	)	PUNCT
ejpam-3350	176	14	assume	assume	VERB
ejpam-3350	176	15	that	that	SCONJ
ejpam-3350	176	16	1	1	NUM
ejpam-3350	176	17	−	−	NOUN
ejpam-3350	176	18	e	e	X
ejpam-3350	176	19	(	(	PUNCT
ejpam-3350	176	20	x	x	NOUN
ejpam-3350	176	21	)	)	PUNCT
ejpam-3350	176	22	≥	≥	NOUN
ejpam-3350	176	23	α0	α0	VERB
ejpam-3350	176	24	>	>	X
ejpam-3350	176	25	0	0	NUM
ejpam-3350	176	26	,	,	PUNCT
ejpam-3350	176	27	i	i	PRON
ejpam-3350	176	28	(	(	PUNCT
ejpam-3350	176	29	x	x	X
ejpam-3350	176	30	)	)	PUNCT
ejpam-3350	176	31	+	+	CCONJ
ejpam-3350	176	32	a	a	DET
ejpam-3350	176	33	(	(	PUNCT
ejpam-3350	176	34	x	x	NOUN
ejpam-3350	176	35	)	)	PUNCT
ejpam-3350	176	36	e	e	NOUN
ejpam-3350	176	37	(	(	PUNCT
ejpam-3350	176	38	x	x	X
ejpam-3350	176	39	)	)	PUNCT
ejpam-3350	176	40	(	(	PUNCT
ejpam-3350	176	41	e	e	X
ejpam-3350	176	42	(	(	PUNCT
ejpam-3350	176	43	x)−	x)−	PROPN
ejpam-3350	176	44	1	1	NUM
ejpam-3350	176	45	)	)	PUNCT
ejpam-3350	176	46	≥	≥	NOUN
ejpam-3350	176	47	α1	α1	PROPN
ejpam-3350	176	48	>	>	X
ejpam-3350	176	49	0	0	NUM
ejpam-3350	176	50	,	,	PUNCT
ejpam-3350	176	51	∀x	∀x	VERB
ejpam-3350	176	52	∈	∈	PROPN
ejpam-3350	177	1	[	[	X
ejpam-3350	177	2	0	0	NUM
ejpam-3350	177	3	,	,	PUNCT
ejpam-3350	177	4	l	l	NOUN
ejpam-3350	177	5	]	]	X
ejpam-3350	177	6	,	,	PUNCT
ejpam-3350	177	7	where	where	SCONJ
ejpam-3350	177	8	α0	α0	ADJ
ejpam-3350	177	9	,	,	PUNCT
ejpam-3350	177	10	α1	α1	PROPN
ejpam-3350	177	11	>	>	X
ejpam-3350	177	12	0are	0are	NOUN
ejpam-3350	177	13	the	the	DET
ejpam-3350	177	14	given	give	VERB
ejpam-3350	177	15	numbers	number	NOUN
ejpam-3350	177	16	.	.	PUNCT
ejpam-3350	178	1	since	since	SCONJ
ejpam-3350	178	2	e	e	PROPN
ejpam-3350	178	3	(	(	PUNCT
ejpam-3350	178	4	x	x	X
ejpam-3350	178	5	)	)	PUNCT
ejpam-3350	178	6	,	,	PUNCT
ejpam-3350	178	7	i	i	PRON
ejpam-3350	178	8	(	(	PUNCT
ejpam-3350	178	9	x	x	X
ejpam-3350	178	10	)	)	PUNCT
ejpam-3350	178	11	,	,	PUNCT
ejpam-3350	178	12	a	a	DET
ejpam-3350	178	13	(	(	PUNCT
ejpam-3350	178	14	x	x	NOUN
ejpam-3350	178	15	)	)	PUNCT
ejpam-3350	178	16	,	,	PUNCT
ejpam-3350	178	17	cω	cω	PROPN
ejpam-3350	178	18	(	(	PUNCT
ejpam-3350	178	19	x	x	NOUN
ejpam-3350	178	20	)	)	PUNCT
ejpam-3350	178	21	,	,	PUNCT
ejpam-3350	178	22	ρ	ρ	PROPN
ejpam-3350	178	23	(	(	PUNCT
ejpam-3350	178	24	x	x	NOUN
ejpam-3350	178	25	)	)	PUNCT
ejpam-3350	178	26	are	be	AUX
ejpam-3350	178	27	positive	positive	ADJ
ejpam-3350	178	28	functions	function	NOUN
ejpam-3350	178	29	on	on	ADP
ejpam-3350	178	30	the	the	DET
ejpam-3350	178	31	segment	segment	NOUN
ejpam-3350	178	32	[	[	X
ejpam-3350	178	33	0	0	NUM
ejpam-3350	178	34	,	,	PUNCT
ejpam-3350	178	35	l	l	NOUN
ejpam-3350	178	36	]	]	X
ejpam-3350	178	37	,	,	PUNCT
ejpam-3350	178	38	by	by	ADP
ejpam-3350	178	39	equivalence	equivalence	NOUN
ejpam-3350	178	40	of	of	ADP
ejpam-3350	178	41	the	the	DET
ejpam-3350	178	42	norms	norm	NOUN
ejpam-3350	178	43	in	in	ADP
ejpam-3350	178	44	the	the	DET
ejpam-3350	178	45	space	space	NOUN
ejpam-3350	178	46	0	0	NUM
ejpam-3350	179	1	w	w	NOUN
ejpam-3350	179	2	2	2	NUM
ejpam-3350	179	3	2	2	NUM
ejpam-3350	179	4	(	(	PUNCT
ejpam-3350	179	5	0	0	NUM
ejpam-3350	179	6	,	,	PUNCT
ejpam-3350	179	7	l	l	NOUN
ejpam-3350	179	8	)	)	PUNCT
ejpam-3350	179	9	,	,	PUNCT
ejpam-3350	179	10	from	from	ADP
ejpam-3350	179	11	the	the	DET
ejpam-3350	179	12	last	last	ADJ
ejpam-3350	179	13	inequality	inequality	NOUN
ejpam-3350	179	14	by	by	ADP
ejpam-3350	179	15	means	mean	NOUN
ejpam-3350	179	16	of	of	ADP
ejpam-3350	179	17	elementary	elementary	ADJ
ejpam-3350	179	18	transformations	transformation	NOUN
ejpam-3350	179	19	we	we	PRON
ejpam-3350	179	20	get	get	VERB
ejpam-3350	179	21	:	:	PUNCT
ejpam-3350	179	22	∫	∫	PROPN
ejpam-3350	179	23	l	l	NOUN
ejpam-3350	179	24	0	0	NUM
ejpam-3350	180	1	(δyn	(δyn	NOUN
ejpam-3350	180	2	(	(	PUNCT
ejpam-3350	180	3	x	x	X
ejpam-3350	180	4	,	,	PUNCT
ejpam-3350	180	5	t	t	PROPN
ejpam-3350	180	6	)	)	PUNCT
ejpam-3350	180	7	)	)	PUNCT
ejpam-3350	180	8	2	2	NUM
ejpam-3350	180	9	+	+	CCONJ
ejpam-3350	180	10	(	(	PUNCT
ejpam-3350	180	11	∂δyn	∂δyn	X
ejpam-3350	180	12	(	(	PUNCT
ejpam-3350	180	13	x	x	NOUN
ejpam-3350	180	14	,	,	PUNCT
ejpam-3350	180	15	t	t	PROPN
ejpam-3350	180	16	)	)	PUNCT
ejpam-3350	180	17	∂t	∂t	PROPN
ejpam-3350	180	18	)	)	PUNCT
ejpam-3350	180	19	2	2	NUM
ejpam-3350	180	20	+	+	CCONJ
ejpam-3350	180	21	(	(	PUNCT
ejpam-3350	180	22	∂δyn	∂δyn	X
ejpam-3350	180	23	(	(	PUNCT
ejpam-3350	180	24	x	x	NOUN
ejpam-3350	180	25	,	,	PUNCT
ejpam-3350	180	26	t	t	PROPN
ejpam-3350	180	27	)	)	PUNCT
ejpam-3350	180	28	∂x	∂x	PROPN
ejpam-3350	180	29	)	)	PUNCT
ejpam-3350	180	30	2	2	NUM
ejpam-3350	180	31	+	+	CCONJ
ejpam-3350	180	32	(	(	PUNCT
ejpam-3350	180	33	∂2δyn	∂2δyn	X
ejpam-3350	180	34	(	(	PUNCT
ejpam-3350	180	35	x	x	PROPN
ejpam-3350	180	36	,	,	PUNCT
ejpam-3350	180	37	t	t	PROPN
ejpam-3350	180	38	)	)	PUNCT
ejpam-3350	180	39	∂x2	∂x2	NOUN
ejpam-3350	180	40	)	)	PUNCT
ejpam-3350	180	41	2	2	NUM
ejpam-3350	181	1	+	+	CCONJ
ejpam-3350	181	2	+	+	CCONJ
ejpam-3350	181	3	(	(	PUNCT
ejpam-3350	181	4	δθn	δθn	ADJ
ejpam-3350	181	5	(	(	PUNCT
ejpam-3350	181	6	x	x	NOUN
ejpam-3350	181	7	,	,	PUNCT
ejpam-3350	181	8	t	t	PROPN
ejpam-3350	181	9	)	)	PUNCT
ejpam-3350	181	10	)	)	PUNCT
ejpam-3350	181	11	2	2	NUM
ejpam-3350	181	12	+	+	CCONJ
ejpam-3350	181	13	(	(	PUNCT
ejpam-3350	181	14	∂δθn	∂δθn	NOUN
ejpam-3350	181	15	(	(	PUNCT
ejpam-3350	181	16	x	x	X
ejpam-3350	181	17	,	,	PUNCT
ejpam-3350	181	18	t	t	PROPN
ejpam-3350	181	19	)	)	PUNCT
ejpam-3350	181	20	∂t	∂t	PROPN
ejpam-3350	181	21	)	)	PUNCT
ejpam-3350	181	22	2	2	NUM
ejpam-3350	181	23	+	+	CCONJ
ejpam-3350	181	24	(	(	PUNCT
ejpam-3350	181	25	∂δθn	∂δθn	NOUN
ejpam-3350	181	26	(	(	PUNCT
ejpam-3350	181	27	x	x	X
ejpam-3350	181	28	,	,	PUNCT
ejpam-3350	181	29	t	t	PROPN
ejpam-3350	181	30	)	)	PUNCT
ejpam-3350	181	31	∂x	∂x	PROPN
ejpam-3350	181	32	)	)	PUNCT
ejpam-3350	181	33	2	2	NUM
ejpam-3350	181	34	+	+	CCONJ
ejpam-3350	181	35	(	(	PUNCT
ejpam-3350	181	36	∂2δθn	∂2δθn	VERB
ejpam-3350	181	37	(	(	PUNCT
ejpam-3350	181	38	x	x	X
ejpam-3350	181	39	,	,	PUNCT
ejpam-3350	181	40	t	t	PROPN
ejpam-3350	181	41	)	)	PUNCT
ejpam-3350	181	42	∂x2	∂x2	NOUN
ejpam-3350	181	43	)	)	PUNCT
ejpam-3350	181	44	2	2	X
ejpam-3350	181	45	]	]	PUNCT
ejpam-3350	181	46	dx	dx	PROPN
ejpam-3350	181	47	≤	≤	PROPN
ejpam-3350	181	48	a.t	a.t	PROPN
ejpam-3350	181	49	.	.	PUNCT
ejpam-3350	181	50	ramazanova	ramazanova	PROPN
ejpam-3350	181	51	/	/	SYM
ejpam-3350	181	52	eur	eur	PROPN
ejpam-3350	181	53	.	.	PUNCT
ejpam-3350	182	1	j.	j.	PROPN
ejpam-3350	182	2	pure	pure	PROPN
ejpam-3350	182	3	appl	appl	PROPN
ejpam-3350	182	4	.	.	PROPN
ejpam-3350	182	5	math	math	PROPN
ejpam-3350	182	6	,	,	PUNCT
ejpam-3350	182	7	12	12	NUM
ejpam-3350	182	8	(	(	PUNCT
ejpam-3350	182	9	1	1	NUM
ejpam-3350	182	10	)	)	PUNCT
ejpam-3350	182	11	(	(	PUNCT
ejpam-3350	182	12	2019	2019	NUM
ejpam-3350	182	13	)	)	PUNCT
ejpam-3350	182	14	,	,	PUNCT
ejpam-3350	182	15	25	25	NUM
ejpam-3350	182	16	-	-	SYM
ejpam-3350	182	17	38	38	NUM
ejpam-3350	182	18	35	35	NUM
ejpam-3350	182	19	≤	≤	NUM
ejpam-3350	182	20	c	c	NOUN
ejpam-3350	182	21	∫	∫	PROPN
ejpam-3350	182	22	t	t	PROPN
ejpam-3350	182	23	0	0	NUM
ejpam-3350	182	24	∫	∫	PROPN
ejpam-3350	182	25	l	l	NOUN
ejpam-3350	182	26	0	0	NUM
ejpam-3350	183	1	(δyn	(δyn	NOUN
ejpam-3350	183	2	(	(	PUNCT
ejpam-3350	183	3	x	x	X
ejpam-3350	183	4	,	,	PUNCT
ejpam-3350	183	5	s	s	NOUN
ejpam-3350	183	6	)	)	PUNCT
ejpam-3350	183	7	)	)	PUNCT
ejpam-3350	183	8	2	2	NUM
ejpam-3350	183	9	+	+	CCONJ
ejpam-3350	183	10	(	(	PUNCT
ejpam-3350	183	11	∂δyn	∂δyn	X
ejpam-3350	183	12	(	(	PUNCT
ejpam-3350	183	13	x	x	NOUN
ejpam-3350	183	14	,	,	PUNCT
ejpam-3350	183	15	s	s	PART
ejpam-3350	183	16	)	)	PUNCT
ejpam-3350	183	17	∂t	∂t	PROPN
ejpam-3350	183	18	)	)	PUNCT
ejpam-3350	183	19	2	2	NUM
ejpam-3350	183	20	+	+	CCONJ
ejpam-3350	183	21	(	(	PUNCT
ejpam-3350	183	22	∂δyn	∂δyn	X
ejpam-3350	183	23	(	(	PUNCT
ejpam-3350	183	24	x	x	NOUN
ejpam-3350	183	25	,	,	PUNCT
ejpam-3350	183	26	s	s	NOUN
ejpam-3350	183	27	)	)	PUNCT
ejpam-3350	183	28	∂x	∂x	PROPN
ejpam-3350	183	29	)	)	PUNCT
ejpam-3350	183	30	2	2	NUM
ejpam-3350	183	31	+	+	CCONJ
ejpam-3350	183	32	(	(	PUNCT
ejpam-3350	183	33	∂2δyn	∂2δyn	X
ejpam-3350	183	34	(	(	PUNCT
ejpam-3350	183	35	x	x	NOUN
ejpam-3350	183	36	,	,	PUNCT
ejpam-3350	183	37	s	s	NOUN
ejpam-3350	183	38	)	)	PUNCT
ejpam-3350	183	39	∂x2	∂x2	NOUN
ejpam-3350	183	40	)	)	PUNCT
ejpam-3350	183	41	2	2	NUM
ejpam-3350	184	1	+	+	CCONJ
ejpam-3350	184	2	+	+	CCONJ
ejpam-3350	184	3	(	(	PUNCT
ejpam-3350	184	4	δθn	δθn	ADJ
ejpam-3350	184	5	(	(	PUNCT
ejpam-3350	184	6	x	x	NOUN
ejpam-3350	184	7	,	,	PUNCT
ejpam-3350	184	8	s	s	NOUN
ejpam-3350	184	9	)	)	PUNCT
ejpam-3350	184	10	)	)	PUNCT
ejpam-3350	184	11	2	2	NUM
ejpam-3350	184	12	+	+	CCONJ
ejpam-3350	184	13	(	(	PUNCT
ejpam-3350	184	14	∂δθn	∂δθn	NOUN
ejpam-3350	184	15	(	(	PUNCT
ejpam-3350	184	16	x	x	X
ejpam-3350	184	17	,	,	PUNCT
ejpam-3350	184	18	s	s	PART
ejpam-3350	184	19	)	)	PUNCT
ejpam-3350	184	20	∂t	∂t	PROPN
ejpam-3350	184	21	)	)	PUNCT
ejpam-3350	184	22	2	2	NUM
ejpam-3350	184	23	+	+	CCONJ
ejpam-3350	184	24	(	(	PUNCT
ejpam-3350	184	25	∂δθn	∂δθn	NOUN
ejpam-3350	184	26	(	(	PUNCT
ejpam-3350	184	27	x	x	X
ejpam-3350	184	28	,	,	PUNCT
ejpam-3350	184	29	s	s	NOUN
ejpam-3350	184	30	)	)	PUNCT
ejpam-3350	184	31	∂x	∂x	PROPN
ejpam-3350	184	32	)	)	PUNCT
ejpam-3350	184	33	2	2	NUM
ejpam-3350	184	34	+	+	CCONJ
ejpam-3350	184	35	(	(	PUNCT
ejpam-3350	184	36	∂2δθn	∂2δθn	VERB
ejpam-3350	184	37	(	(	PUNCT
ejpam-3350	184	38	x	x	X
ejpam-3350	184	39	,	,	PUNCT
ejpam-3350	184	40	s	s	NOUN
ejpam-3350	184	41	)	)	PUNCT
ejpam-3350	184	42	∂x2	∂x2	NOUN
ejpam-3350	184	43	)	)	PUNCT
ejpam-3350	184	44	2	2	X
ejpam-3350	184	45	]	]	PUNCT
ejpam-3350	184	46	dxds+	dxds+	PROPN
ejpam-3350	185	1	+	+	ADP
ejpam-3350	185	2	c	c	X
ejpam-3350	185	3	(	(	PUNCT
ejpam-3350	185	4	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	185	5	)	)	PUNCT
ejpam-3350	185	6	+	+	NUM
ejpam-3350	185	7	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	185	8	)	)	PUNCT
ejpam-3350	185	9	)	)	PUNCT
ejpam-3350	185	10	.	.	PUNCT
ejpam-3350	186	1	(	(	PUNCT
ejpam-3350	186	2	45	45	NUM
ejpam-3350	186	3	)	)	PUNCT
ejpam-3350	186	4	applying	apply	VERB
ejpam-3350	186	5	the	the	DET
ejpam-3350	186	6	gronuoll	gronuoll	NOUN
ejpam-3350	186	7	lemma	lemma	PROPN
ejpam-3350	186	8	,	,	PUNCT
ejpam-3350	186	9	we	we	PRON
ejpam-3350	186	10	have	have	VERB
ejpam-3350	186	11	:	:	PUNCT
ejpam-3350	187	1	∫	∫	PROPN
ejpam-3350	187	2	l	l	NOUN
ejpam-3350	187	3	0	0	PUNCT
ejpam-3350	188	1	(δyn	(δyn	NOUN
ejpam-3350	188	2	(	(	PUNCT
ejpam-3350	188	3	x	x	X
ejpam-3350	188	4	,	,	PUNCT
ejpam-3350	188	5	t	t	PROPN
ejpam-3350	188	6	)	)	PUNCT
ejpam-3350	188	7	)	)	PUNCT
ejpam-3350	188	8	2	2	NUM
ejpam-3350	188	9	+	+	CCONJ
ejpam-3350	188	10	(	(	PUNCT
ejpam-3350	188	11	∂δyn	∂δyn	X
ejpam-3350	188	12	(	(	PUNCT
ejpam-3350	188	13	x	x	NOUN
ejpam-3350	188	14	,	,	PUNCT
ejpam-3350	188	15	t	t	PROPN
ejpam-3350	188	16	)	)	PUNCT
ejpam-3350	188	17	∂t	∂t	PROPN
ejpam-3350	188	18	)	)	PUNCT
ejpam-3350	188	19	2	2	NUM
ejpam-3350	188	20	+	+	CCONJ
ejpam-3350	188	21	(	(	PUNCT
ejpam-3350	188	22	∂δyn	∂δyn	X
ejpam-3350	188	23	(	(	PUNCT
ejpam-3350	188	24	x	x	NOUN
ejpam-3350	188	25	,	,	PUNCT
ejpam-3350	188	26	t	t	PROPN
ejpam-3350	188	27	)	)	PUNCT
ejpam-3350	188	28	∂x	∂x	PROPN
ejpam-3350	188	29	)	)	PUNCT
ejpam-3350	188	30	2	2	NUM
ejpam-3350	188	31	+	+	CCONJ
ejpam-3350	188	32	(	(	PUNCT
ejpam-3350	188	33	∂2δyn	∂2δyn	X
ejpam-3350	188	34	(	(	PUNCT
ejpam-3350	188	35	x	x	PROPN
ejpam-3350	188	36	,	,	PUNCT
ejpam-3350	188	37	t	t	PROPN
ejpam-3350	188	38	)	)	PUNCT
ejpam-3350	188	39	∂x2	∂x2	NOUN
ejpam-3350	188	40	)	)	PUNCT
ejpam-3350	188	41	2	2	NUM
ejpam-3350	189	1	+	+	CCONJ
ejpam-3350	189	2	+	+	CCONJ
ejpam-3350	189	3	(	(	PUNCT
ejpam-3350	189	4	δθn	δθn	ADJ
ejpam-3350	189	5	(	(	PUNCT
ejpam-3350	189	6	x	x	NOUN
ejpam-3350	189	7	,	,	PUNCT
ejpam-3350	189	8	t	t	PROPN
ejpam-3350	189	9	)	)	PUNCT
ejpam-3350	189	10	)	)	PUNCT
ejpam-3350	189	11	2	2	NUM
ejpam-3350	189	12	+	+	CCONJ
ejpam-3350	189	13	(	(	PUNCT
ejpam-3350	189	14	∂δθn	∂δθn	NOUN
ejpam-3350	189	15	(	(	PUNCT
ejpam-3350	189	16	x	x	X
ejpam-3350	189	17	,	,	PUNCT
ejpam-3350	189	18	t	t	PROPN
ejpam-3350	189	19	)	)	PUNCT
ejpam-3350	189	20	∂t	∂t	PROPN
ejpam-3350	189	21	)	)	PUNCT
ejpam-3350	189	22	2	2	NUM
ejpam-3350	189	23	+	+	CCONJ
ejpam-3350	189	24	(	(	PUNCT
ejpam-3350	189	25	∂δθn	∂δθn	NOUN
ejpam-3350	189	26	(	(	PUNCT
ejpam-3350	189	27	x	x	X
ejpam-3350	189	28	,	,	PUNCT
ejpam-3350	189	29	t	t	PROPN
ejpam-3350	189	30	)	)	PUNCT
ejpam-3350	189	31	∂x	∂x	PROPN
ejpam-3350	189	32	)	)	PUNCT
ejpam-3350	189	33	2	2	NUM
ejpam-3350	189	34	+	+	CCONJ
ejpam-3350	189	35	(	(	PUNCT
ejpam-3350	189	36	∂2δθn	∂2δθn	VERB
ejpam-3350	189	37	(	(	PUNCT
ejpam-3350	189	38	x	x	X
ejpam-3350	189	39	,	,	PUNCT
ejpam-3350	189	40	t	t	PROPN
ejpam-3350	189	41	)	)	PUNCT
ejpam-3350	189	42	∂x2	∂x2	NOUN
ejpam-3350	189	43	)	)	PUNCT
ejpam-3350	189	44	2	2	X
ejpam-3350	189	45	]	]	PUNCT
ejpam-3350	189	46	dx	dx	PROPN
ejpam-3350	189	47	≤	≤	NUM
ejpam-3350	189	48	≤	≤	NUM
ejpam-3350	189	49	c	c	NOUN
ejpam-3350	189	50	(	(	PUNCT
ejpam-3350	189	51	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	189	52	)	)	PUNCT
ejpam-3350	189	53	+	+	NUM
ejpam-3350	189	54	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	189	55	)	)	PUNCT
ejpam-3350	189	56	)	)	PUNCT
ejpam-3350	190	1	∀t	∀t	PROPN
ejpam-3350	190	2	∈	∈	X
ejpam-3350	191	1	[	[	X
ejpam-3350	191	2	0	0	NUM
ejpam-3350	191	3	,	,	PUNCT
ejpam-3350	191	4	t	t	NOUN
ejpam-3350	191	5	]	]	PUNCT
ejpam-3350	191	6	.	.	PUNCT
ejpam-3350	192	1	(	(	PUNCT
ejpam-3350	192	2	46	46	NUM
ejpam-3350	192	3	)	)	PUNCT
ejpam-3350	192	4	from	from	ADP
ejpam-3350	192	5	the	the	DET
ejpam-3350	192	6	last	last	ADJ
ejpam-3350	192	7	inequality	inequality	NOUN
ejpam-3350	192	8	it	it	PRON
ejpam-3350	192	9	follows	follow	VERB
ejpam-3350	192	10	that∫	that∫	PROPN
ejpam-3350	192	11	t	t	PROPN
ejpam-3350	192	12	0	0	NUM
ejpam-3350	192	13	∫	∫	PROPN
ejpam-3350	192	14	l	l	NOUN
ejpam-3350	192	15	0	0	PUNCT
ejpam-3350	193	1	[	[	X
ejpam-3350	193	2	(	(	PUNCT
ejpam-3350	193	3	δyn	δyn	NOUN
ejpam-3350	193	4	(	(	PUNCT
ejpam-3350	193	5	x	x	NOUN
ejpam-3350	193	6	,	,	PUNCT
ejpam-3350	193	7	t	t	PROPN
ejpam-3350	193	8	)	)	PUNCT
ejpam-3350	193	9	)	)	PUNCT
ejpam-3350	193	10	2	2	NUM
ejpam-3350	193	11	+	+	CCONJ
ejpam-3350	193	12	(	(	PUNCT
ejpam-3350	193	13	∂δyn	∂δyn	X
ejpam-3350	193	14	(	(	PUNCT
ejpam-3350	193	15	x	x	NOUN
ejpam-3350	193	16	,	,	PUNCT
ejpam-3350	193	17	t	t	PROPN
ejpam-3350	193	18	)	)	PUNCT
ejpam-3350	193	19	∂t	∂t	PROPN
ejpam-3350	193	20	)	)	PUNCT
ejpam-3350	193	21	2	2	NUM
ejpam-3350	193	22	+	+	CCONJ
ejpam-3350	193	23	(	(	PUNCT
ejpam-3350	193	24	∂δyn	∂δyn	X
ejpam-3350	193	25	(	(	PUNCT
ejpam-3350	193	26	x	x	NOUN
ejpam-3350	193	27	,	,	PUNCT
ejpam-3350	193	28	t	t	PROPN
ejpam-3350	193	29	)	)	PUNCT
ejpam-3350	193	30	∂x	∂x	PROPN
ejpam-3350	193	31	)	)	PUNCT
ejpam-3350	193	32	2	2	NUM
ejpam-3350	194	1	+	+	CCONJ
ejpam-3350	194	2	(	(	PUNCT
ejpam-3350	194	3	∂2δyn	∂2δyn	X
ejpam-3350	194	4	(	(	PUNCT
ejpam-3350	194	5	x	x	PROPN
ejpam-3350	194	6	,	,	PUNCT
ejpam-3350	194	7	t	t	PROPN
ejpam-3350	194	8	)	)	PUNCT
ejpam-3350	194	9	∂x2	∂x2	NOUN
ejpam-3350	194	10	)	)	PUNCT
ejpam-3350	194	11	2	2	NUM
ejpam-3350	195	1	+	+	CCONJ
ejpam-3350	195	2	+	+	CCONJ
ejpam-3350	195	3	(	(	PUNCT
ejpam-3350	195	4	δθn	δθn	ADJ
ejpam-3350	195	5	(	(	PUNCT
ejpam-3350	195	6	x	x	NOUN
ejpam-3350	195	7	,	,	PUNCT
ejpam-3350	195	8	t	t	PROPN
ejpam-3350	195	9	)	)	PUNCT
ejpam-3350	195	10	)	)	PUNCT
ejpam-3350	195	11	2	2	NUM
ejpam-3350	195	12	+	+	CCONJ
ejpam-3350	195	13	(	(	PUNCT
ejpam-3350	195	14	∂δθn	∂δθn	NOUN
ejpam-3350	195	15	(	(	PUNCT
ejpam-3350	195	16	x	x	X
ejpam-3350	195	17	,	,	PUNCT
ejpam-3350	195	18	t	t	PROPN
ejpam-3350	195	19	)	)	PUNCT
ejpam-3350	195	20	∂t	∂t	PROPN
ejpam-3350	195	21	)	)	PUNCT
ejpam-3350	195	22	2	2	NUM
ejpam-3350	195	23	+	+	CCONJ
ejpam-3350	195	24	(	(	PUNCT
ejpam-3350	195	25	∂δθn	∂δθn	NOUN
ejpam-3350	195	26	(	(	PUNCT
ejpam-3350	195	27	x	x	X
ejpam-3350	195	28	,	,	PUNCT
ejpam-3350	195	29	t	t	PROPN
ejpam-3350	195	30	)	)	PUNCT
ejpam-3350	195	31	∂x	∂x	PROPN
ejpam-3350	195	32	)	)	PUNCT
ejpam-3350	195	33	2	2	NUM
ejpam-3350	195	34	+	+	CCONJ
ejpam-3350	195	35	(	(	PUNCT
ejpam-3350	195	36	∂2δθ	∂2δθ	ADJ
ejpam-3350	195	37	(	(	PUNCT
ejpam-3350	195	38	x	x	NOUN
ejpam-3350	195	39	,	,	PUNCT
ejpam-3350	195	40	t	t	PROPN
ejpam-3350	195	41	)	)	PUNCT
ejpam-3350	195	42	∂x2	∂x2	NOUN
ejpam-3350	195	43	)	)	PUNCT
ejpam-3350	195	44	2	2	NUM
ejpam-3350	195	45	]	]	PUNCT
ejpam-3350	195	46	dx	dx	PROPN
ejpam-3350	195	47	≤	≤	NUM
ejpam-3350	195	48	≤	≤	NUM
ejpam-3350	195	49	c	c	NOUN
ejpam-3350	195	50	(	(	PUNCT
ejpam-3350	195	51	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	195	52	)	)	PUNCT
ejpam-3350	195	53	+	+	NUM
ejpam-3350	195	54	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	195	55	)	)	PUNCT
ejpam-3350	195	56	)	)	PUNCT
ejpam-3350	195	57	.	.	PUNCT
ejpam-3350	196	1	(	(	PUNCT
ejpam-3350	196	2	47	47	NUM
ejpam-3350	196	3	)	)	PUNCT
ejpam-3350	196	4	from	from	ADP
ejpam-3350	196	5	the	the	DET
ejpam-3350	196	6	sequence	sequence	NOUN
ejpam-3350	196	7	(	(	PUNCT
ejpam-3350	196	8	δyn	δyn	NOUN
ejpam-3350	196	9	,	,	PUNCT
ejpam-3350	196	10	δθn	δθn	NOUN
ejpam-3350	196	11	)	)	PUNCT
ejpam-3350	196	12	we	we	PRON
ejpam-3350	196	13	can	can	AUX
ejpam-3350	196	14	choose	choose	VERB
ejpam-3350	196	15	a	a	DET
ejpam-3350	196	16	subsequence	subsequence	NOUN
ejpam-3350	196	17	weakly	weakly	ADJ
ejpam-3350	196	18	convergent	convergent	NOUN
ejpam-3350	196	19	inw	inw	PROPN
ejpam-3350	196	20	2,1	2,1	NUM
ejpam-3350	196	21	2	2	NUM
ejpam-3350	196	22	(	(	PUNCT
ejpam-3350	196	23	q)×	q)×	NOUN
ejpam-3350	196	24	w	w	PROPN
ejpam-3350	196	25	2,1	2,1	NUM
ejpam-3350	196	26	2	2	NUM
ejpam-3350	196	27	(	(	PUNCT
ejpam-3350	196	28	q	q	NOUN
ejpam-3350	196	29	)	)	PUNCT
ejpam-3350	196	30	to	to	ADP
ejpam-3350	196	31	some	some	DET
ejpam-3350	196	32	element	element	NOUN
ejpam-3350	196	33	(	(	PUNCT
ejpam-3350	196	34	δy	δy	NOUN
ejpam-3350	196	35	,	,	PUNCT
ejpam-3350	196	36	δθ	δθ	NOUN
ejpam-3350	196	37	)	)	PUNCT
ejpam-3350	196	38	∈w	∈w	VERB
ejpam-3350	196	39	2,1	2,1	NUM
ejpam-3350	196	40	2	2	NUM
ejpam-3350	196	41	(	(	PUNCT
ejpam-3350	196	42	q)×w	q)×w	PROPN
ejpam-3350	196	43	2,1	2,1	NUM
ejpam-3350	196	44	2	2	NUM
ejpam-3350	196	45	(	(	PUNCT
ejpam-3350	196	46	q	q	NOUN
ejpam-3350	196	47	)	)	PUNCT
ejpam-3350	196	48	.	.	PUNCT
ejpam-3350	197	1	by	by	ADP
ejpam-3350	197	2	virtue	virtue	NOUN
ejpam-3350	197	3	of	of	ADP
ejpam-3350	197	4	weak	weak	ADJ
ejpam-3350	197	5	lower	low	ADJ
ejpam-3350	197	6	semicontinuity	semicontinuity	NOUN
ejpam-3350	197	7	of	of	ADP
ejpam-3350	197	8	the	the	DET
ejpam-3350	197	9	norm	norm	NOUN
ejpam-3350	197	10	in	in	ADP
ejpam-3350	197	11	the	the	DET
ejpam-3350	197	12	hilbert	hilbert	NOUN
ejpam-3350	197	13	space	space	NOUN
ejpam-3350	197	14	,	,	PUNCT
ejpam-3350	197	15	we	we	PRON
ejpam-3350	197	16	get	get	VERB
ejpam-3350	197	17	from	from	ADP
ejpam-3350	197	18	(	(	PUNCT
ejpam-3350	197	19	47	47	NUM
ejpam-3350	197	20	)	)	PUNCT
ejpam-3350	197	21	that	that	SCONJ
ejpam-3350	197	22	for	for	ADP
ejpam-3350	197	23	δy	δy	PROPN
ejpam-3350	197	24	(	(	PUNCT
ejpam-3350	197	25	x	x	PROPN
ejpam-3350	197	26	,	,	PUNCT
ejpam-3350	197	27	t	t	PROPN
ejpam-3350	197	28	)	)	PUNCT
ejpam-3350	197	29	and	and	CCONJ
ejpam-3350	197	30	δθ	δθ	PROPN
ejpam-3350	197	31	(	(	PUNCT
ejpam-3350	197	32	x	x	NOUN
ejpam-3350	197	33	,	,	PUNCT
ejpam-3350	197	34	t	t	PROPN
ejpam-3350	197	35	)	)	PUNCT
ejpam-3350	197	36	the	the	DET
ejpam-3350	197	37	following	follow	VERB
ejpam-3350	197	38	estimation	estimation	NOUN
ejpam-3350	197	39	is	be	AUX
ejpam-3350	197	40	valid	valid	ADJ
ejpam-3350	197	41	‖δy‖2	‖δy‖2	X
ejpam-3350	197	42	w	w	PROPN
ejpam-3350	197	43	2,1	2,1	NUM
ejpam-3350	197	44	2	2	NUM
ejpam-3350	197	45	(	(	PUNCT
ejpam-3350	197	46	q	q	NOUN
ejpam-3350	197	47	)	)	PUNCT
ejpam-3350	198	1	+	+	CCONJ
ejpam-3350	198	2	‖δθ‖2	‖δθ‖2	X
ejpam-3350	198	3	w	w	ADP
ejpam-3350	198	4	2,1	2,1	NUM
ejpam-3350	198	5	2	2	NUM
ejpam-3350	198	6	(	(	PUNCT
ejpam-3350	198	7	q	q	NOUN
ejpam-3350	198	8	)	)	PUNCT
ejpam-3350	198	9	≤	≤	NUM
ejpam-3350	198	10	c	c	NOUN
ejpam-3350	198	11	(	(	PUNCT
ejpam-3350	198	12	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	198	13	)	)	PUNCT
ejpam-3350	198	14	+	+	NUM
ejpam-3350	198	15	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	198	16	)	)	PUNCT
ejpam-3350	198	17	)	)	PUNCT
ejpam-3350	198	18	.	.	PUNCT
ejpam-3350	199	1	hence	hence	ADV
ejpam-3350	199	2	the	the	DET
ejpam-3350	199	3	estimate	estimate	NOUN
ejpam-3350	199	4	(	(	PUNCT
ejpam-3350	199	5	31	31	NUM
ejpam-3350	199	6	)	)	PUNCT
ejpam-3350	199	7	and	and	CCONJ
ejpam-3350	199	8	(	(	PUNCT
ejpam-3350	199	9	32	32	NUM
ejpam-3350	199	10	)	)	PUNCT
ejpam-3350	199	11	.	.	PUNCT
ejpam-3350	200	1	since	since	SCONJ
ejpam-3350	200	2	w	w	PROPN
ejpam-3350	200	3	2,1	2,1	NUM
ejpam-3350	200	4	2	2	NUM
ejpam-3350	200	5	(	(	PUNCT
ejpam-3350	200	6	q	q	X
ejpam-3350	200	7	)	)	PUNCT
ejpam-3350	200	8	is	be	AUX
ejpam-3350	200	9	boundedly	boundedly	ADV
ejpam-3350	200	10	imbedded	imbed	VERB
ejpam-3350	200	11	in	in	ADP
ejpam-3350	200	12	l2	l2	NOUN
ejpam-3350	200	13	(	(	PUNCT
ejpam-3350	200	14	0	0	NUM
ejpam-3350	200	15	,	,	PUNCT
ejpam-3350	200	16	t	t	NOUN
ejpam-3350	200	17	)	)	PUNCT
ejpam-3350	201	1	[	[	X
ejpam-3350	201	2	6	6	NUM
ejpam-3350	201	3	,	,	PUNCT
ejpam-3350	201	4	pp	pp	ADJ
ejpam-3350	201	5	.	.	PUNCT
ejpam-3350	202	1	73	73	NUM
ejpam-3350	202	2	-	-	SYM
ejpam-3350	202	3	74	74	NUM
ejpam-3350	202	4	]	]	PUNCT
ejpam-3350	202	5	,	,	PUNCT
ejpam-3350	202	6	hence	hence	ADV
ejpam-3350	202	7	it	it	PRON
ejpam-3350	202	8	follows	follow	VERB
ejpam-3350	202	9	that	that	DET
ejpam-3350	202	10	a.t	a.t	PROPN
ejpam-3350	202	11	.	.	PROPN
ejpam-3350	202	12	ramazanova	ramazanova	PROPN
ejpam-3350	202	13	/	/	SYM
ejpam-3350	202	14	eur	eur	PROPN
ejpam-3350	202	15	.	.	PUNCT
ejpam-3350	203	1	j.	j.	PROPN
ejpam-3350	203	2	pure	pure	PROPN
ejpam-3350	203	3	appl	appl	PROPN
ejpam-3350	203	4	.	.	PROPN
ejpam-3350	203	5	math	math	PROPN
ejpam-3350	203	6	,	,	PUNCT
ejpam-3350	203	7	12	12	NUM
ejpam-3350	203	8	(	(	PUNCT
ejpam-3350	203	9	1	1	NUM
ejpam-3350	203	10	)	)	PUNCT
ejpam-3350	203	11	(	(	PUNCT
ejpam-3350	203	12	2019	2019	NUM
ejpam-3350	203	13	)	)	PUNCT
ejpam-3350	203	14	,	,	PUNCT
ejpam-3350	203	15	25	25	NUM
ejpam-3350	203	16	-	-	SYM
ejpam-3350	203	17	38	38	NUM
ejpam-3350	203	18	36	36	NUM
ejpam-3350	203	19	‖δy	‖δy	NUM
ejpam-3350	203	20	(	(	PUNCT
ejpam-3350	203	21	x	x	PROPN
ejpam-3350	203	22	,	,	PUNCT
ejpam-3350	203	23	t	t	NOUN
ejpam-3350	203	24	)	)	PUNCT
ejpam-3350	203	25	‖2l2(0,l	‖2l2(0,l	NOUN
ejpam-3350	203	26	)	)	PUNCT
ejpam-3350	203	27	≤	≤	NOUN
ejpam-3350	203	28	c1	c1	NOUN
ejpam-3350	203	29	‖δy‖2w	‖δy‖2w	NOUN
ejpam-3350	204	1	2,1	2,1	NUM
ejpam-3350	204	2	2	2	NUM
ejpam-3350	204	3	(	(	PUNCT
ejpam-3350	204	4	q	q	NOUN
ejpam-3350	204	5	)	)	PUNCT
ejpam-3350	204	6	≤	≤	NUM
ejpam-3350	204	7	c	c	NOUN
ejpam-3350	204	8	(	(	PUNCT
ejpam-3350	204	9	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	204	10	)	)	PUNCT
ejpam-3350	204	11	+	+	NUM
ejpam-3350	204	12	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	204	13	)	)	PUNCT
ejpam-3350	204	14	)	)	PUNCT
ejpam-3350	204	15	,	,	PUNCT
ejpam-3350	204	16	(	(	PUNCT
ejpam-3350	204	17	48	48	NUM
ejpam-3350	204	18	)	)	PUNCT
ejpam-3350	204	19	‖δθ	‖δθ	NUM
ejpam-3350	204	20	(	(	PUNCT
ejpam-3350	204	21	x	x	NOUN
ejpam-3350	204	22	,	,	PUNCT
ejpam-3350	204	23	t	t	NOUN
ejpam-3350	204	24	)	)	PUNCT
ejpam-3350	204	25	‖2l2(0,l	‖2l2(0,l	PROPN
ejpam-3350	204	26	)	)	PUNCT
ejpam-3350	204	27	≤	≤	NOUN
ejpam-3350	205	1	c2	c2	PROPN
ejpam-3350	205	2	‖δθ‖2w	‖δθ‖2w	NUM
ejpam-3350	205	3	2,1	2,1	NUM
ejpam-3350	205	4	2	2	NUM
ejpam-3350	205	5	(	(	PUNCT
ejpam-3350	205	6	q	q	NOUN
ejpam-3350	205	7	)	)	PUNCT
ejpam-3350	205	8	≤	≤	NUM
ejpam-3350	205	9	c	c	NOUN
ejpam-3350	205	10	(	(	PUNCT
ejpam-3350	205	11	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	205	12	)	)	PUNCT
ejpam-3350	205	13	+	+	NUM
ejpam-3350	205	14	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	205	15	)	)	PUNCT
ejpam-3350	205	16	)	)	PUNCT
ejpam-3350	205	17	.	.	PUNCT
ejpam-3350	206	1	it	it	PRON
ejpam-3350	206	2	is	be	AUX
ejpam-3350	206	3	easy	easy	ADJ
ejpam-3350	206	4	to	to	PART
ejpam-3350	206	5	show	show	VERB
ejpam-3350	206	6	that	that	SCONJ
ejpam-3350	206	7	(	(	PUNCT
ejpam-3350	206	8	δy	δy	NOUN
ejpam-3350	206	9	,	,	PUNCT
ejpam-3350	206	10	δθ	δθ	NOUN
ejpam-3350	206	11	)	)	PUNCT
ejpam-3350	206	12	is	be	AUX
ejpam-3350	206	13	the	the	DET
ejpam-3350	206	14	generalized	generalized	ADJ
ejpam-3350	206	15	solution	solution	NOUN
ejpam-3350	206	16	of	of	ADP
ejpam-3350	206	17	problem	problem	NOUN
ejpam-3350	206	18	(	(	PUNCT
ejpam-3350	206	19	18)-(19	18)-(19	NUM
ejpam-3350	206	20	)	)	PUNCT
ejpam-3350	207	1	[	[	X
ejpam-3350	207	2	6	6	NUM
ejpam-3350	207	3	,	,	PUNCT
ejpam-3350	207	4	pp	pp	ADJ
ejpam-3350	207	5	.	.	PUNCT
ejpam-3350	208	1	210	210	NUM
ejpam-3350	208	2	-	-	SYM
ejpam-3350	208	3	215	215	NUM
ejpam-3350	208	4	]	]	PUNCT
ejpam-3350	208	5	.	.	PUNCT
ejpam-3350	209	1	thus	thus	ADV
ejpam-3350	209	2	,	,	PUNCT
ejpam-3350	209	3	from	from	ADP
ejpam-3350	209	4	(	(	PUNCT
ejpam-3350	209	5	48	48	NUM
ejpam-3350	209	6	)	)	PUNCT
ejpam-3350	209	7	we	we	PRON
ejpam-3350	209	8	find	find	VERB
ejpam-3350	209	9	that	that	SCONJ
ejpam-3350	209	10	r	r	NOUN
ejpam-3350	209	11	=	=	SYM
ejpam-3350	209	12	1	1	NUM
ejpam-3350	209	13	2	2	NUM
ejpam-3350	209	14	∫	∫	NOUN
ejpam-3350	209	15	l	l	NOUN
ejpam-3350	209	16	0	0	PUNCT
ejpam-3350	210	1	[	[	PUNCT
ejpam-3350	210	2	(	(	PUNCT
ejpam-3350	210	3	δy	δy	INTJ
ejpam-3350	210	4	(	(	PUNCT
ejpam-3350	210	5	x	x	PROPN
ejpam-3350	210	6	,	,	PUNCT
ejpam-3350	210	7	t	t	NOUN
ejpam-3350	210	8	)	)	PUNCT
ejpam-3350	210	9	)	)	PUNCT
ejpam-3350	210	10	2	2	NUM
ejpam-3350	211	1	+	+	CCONJ
ejpam-3350	211	2	(	(	PUNCT
ejpam-3350	211	3	δθ	δθ	PART
ejpam-3350	211	4	(	(	PUNCT
ejpam-3350	211	5	x	x	PROPN
ejpam-3350	211	6	,	,	PUNCT
ejpam-3350	211	7	t	t	NOUN
ejpam-3350	211	8	)	)	PUNCT
ejpam-3350	211	9	)	)	PUNCT
ejpam-3350	211	10	2	2	NUM
ejpam-3350	211	11	]	]	PUNCT
ejpam-3350	211	12	dx+	dx+	NOUN
ejpam-3350	211	13	α	α	NOUN
ejpam-3350	211	14	2	2	NUM
ejpam-3350	211	15	(	(	PUNCT
ejpam-3350	211	16	∫	∫	PROPN
ejpam-3350	211	17	l	l	NOUN
ejpam-3350	211	18	0	0	PUNCT
ejpam-3350	211	19	(	(	PUNCT
ejpam-3350	211	20	(	(	PUNCT
ejpam-3350	211	21	δv1	δv1	ADJ
ejpam-3350	211	22	)	)	PUNCT
ejpam-3350	211	23	2+(δw1	2+(δw1	NUM
ejpam-3350	211	24	)	)	PUNCT
ejpam-3350	211	25	2)dx	2)dx	NOUN
ejpam-3350	211	26	)	)	PUNCT
ejpam-3350	211	27	≤	≤	NUM
ejpam-3350	211	28	≤	≤	NUM
ejpam-3350	211	29	c	c	NOUN
ejpam-3350	211	30	(	(	PUNCT
ejpam-3350	211	31	‖δv1‖2l2(0,l	‖δv1‖2l2(0,l	ADJ
ejpam-3350	211	32	)	)	PUNCT
ejpam-3350	211	33	+	+	NUM
ejpam-3350	211	34	‖δw1‖2l2(0,l	‖δw1‖2l2(0,l	NUM
ejpam-3350	211	35	)	)	PUNCT
ejpam-3350	211	36	)	)	PUNCT
ejpam-3350	211	37	.	.	PUNCT
ejpam-3350	212	1	(	(	PUNCT
ejpam-3350	212	2	49	49	NUM
ejpam-3350	212	3	)	)	PUNCT
ejpam-3350	212	4	thus	thus	ADV
ejpam-3350	212	5	,	,	PUNCT
ejpam-3350	212	6	from	from	ADP
ejpam-3350	212	7	(	(	PUNCT
ejpam-3350	212	8	28	28	NUM
ejpam-3350	212	9	)	)	PUNCT
ejpam-3350	212	10	and	and	CCONJ
ejpam-3350	212	11	(	(	PUNCT
ejpam-3350	212	12	49	49	NUM
ejpam-3350	212	13	)	)	PUNCT
ejpam-3350	212	14	it	it	PRON
ejpam-3350	212	15	follows	follow	VERB
ejpam-3350	212	16	that	that	SCONJ
ejpam-3350	212	17	the	the	DET
ejpam-3350	212	18	differential	differential	NOUN
ejpam-3350	212	19	of	of	ADP
ejpam-3350	212	20	the	the	DET
ejpam-3350	212	21	functional	functional	ADJ
ejpam-3350	212	22	j	j	PROPN
ejpam-3350	212	23	(	(	PUNCT
ejpam-3350	212	24	v	v	NOUN
ejpam-3350	212	25	)	)	PUNCT
ejpam-3350	212	26	is	be	AUX
ejpam-3350	212	27	equal	equal	ADJ
ejpam-3350	212	28	to	to	ADP
ejpam-3350	212	29	〈	〈	PROPN
ejpam-3350	212	30	j	j	PROPN
ejpam-3350	212	31	′	′	NUM
ejpam-3350	212	32	(	(	PUNCT
ejpam-3350	212	33	v	v	NOUN
ejpam-3350	212	34	)	)	PUNCT
ejpam-3350	212	35	,	,	PUNCT
ejpam-3350	212	36	δv	δv	ADV
ejpam-3350	212	37	〉	〉	NOUN
ejpam-3350	212	38	=	=	SYM
ejpam-3350	212	39	∫	∫	PROPN
ejpam-3350	212	40	l	l	NOUN
ejpam-3350	212	41	0	0	PUNCT
ejpam-3350	213	1	[	[	X
ejpam-3350	213	2	ρ	ρ	X
ejpam-3350	213	3	(	(	PUNCT
ejpam-3350	213	4	x)a	x)a	X
ejpam-3350	213	5	(	(	PUNCT
ejpam-3350	213	6	x	x	X
ejpam-3350	213	7	)	)	PUNCT
ejpam-3350	213	8	ψ1	ψ1	NOUN
ejpam-3350	213	9	(	(	PUNCT
ejpam-3350	213	10	x	x	X
ejpam-3350	213	11	,	,	PUNCT
ejpam-3350	213	12	0)−ρ	0)−ρ	NUM
ejpam-3350	213	13	(	(	PUNCT
ejpam-3350	213	14	x)a	x)a	X
ejpam-3350	213	15	(	(	PUNCT
ejpam-3350	213	16	x	x	X
ejpam-3350	213	17	)	)	PUNCT
ejpam-3350	213	18	e	e	NOUN
ejpam-3350	213	19	(	(	PUNCT
ejpam-3350	213	20	x	x	NOUN
ejpam-3350	213	21	)	)	PUNCT
ejpam-3350	213	22	ψ2	ψ2	NOUN
ejpam-3350	213	23	(	(	PUNCT
ejpam-3350	213	24	x	x	X
ejpam-3350	213	25	,	,	PUNCT
ejpam-3350	213	26	0	0	NUM
ejpam-3350	213	27	)	)	PUNCT
ejpam-3350	214	1	+	+	NOUN
ejpam-3350	214	2	αv1	αv1	ADJ
ejpam-3350	214	3	]	]	X
ejpam-3350	214	4	δv1dx+	δv1dx+	ADJ
ejpam-3350	214	5	+	+	CCONJ
ejpam-3350	214	6	[	[	PUNCT
ejpam-3350	214	7	−ρ	−ρ	NOUN
ejpam-3350	214	8	(	(	PUNCT
ejpam-3350	214	9	x)a	x)a	X
ejpam-3350	214	10	(	(	PUNCT
ejpam-3350	214	11	x	x	X
ejpam-3350	214	12	)	)	PUNCT
ejpam-3350	214	13	e	e	NOUN
ejpam-3350	214	14	(	(	PUNCT
ejpam-3350	214	15	x	x	NOUN
ejpam-3350	214	16	)	)	PUNCT
ejpam-3350	214	17	ψ1	ψ1	NOUN
ejpam-3350	214	18	(	(	PUNCT
ejpam-3350	214	19	x	x	X
ejpam-3350	214	20	,	,	PUNCT
ejpam-3350	214	21	0	0	NUM
ejpam-3350	214	22	)	)	PUNCT
ejpam-3350	215	1	+	+	NOUN
ejpam-3350	215	2	ρ	ρ	PROPN
ejpam-3350	215	3	(	(	PUNCT
ejpam-3350	215	4	x	x	NOUN
ejpam-3350	215	5	)	)	PUNCT
ejpam-3350	215	6	(	(	PUNCT
ejpam-3350	215	7	i	i	PRON
ejpam-3350	215	8	(	(	PUNCT
ejpam-3350	215	9	x	x	X
ejpam-3350	215	10	)	)	PUNCT
ejpam-3350	215	11	+	+	ADJ
ejpam-3350	215	12	a(x	a(x	NOUN
ejpam-3350	215	13	)	)	PUNCT
ejpam-3350	215	14	e2	e2	NOUN
ejpam-3350	215	15	(	(	PUNCT
ejpam-3350	215	16	x	x	NOUN
ejpam-3350	215	17	)	)	PUNCT
ejpam-3350	215	18	)	)	PUNCT
ejpam-3350	215	19	ψ2	ψ2	NOUN
ejpam-3350	215	20	(	(	PUNCT
ejpam-3350	215	21	x	x	X
ejpam-3350	215	22	,	,	PUNCT
ejpam-3350	215	23	0	0	NUM
ejpam-3350	215	24	)	)	PUNCT
ejpam-3350	215	25	+	+	NOUN
ejpam-3350	215	26	αw1	αw1	PRON
ejpam-3350	215	27	]	]	PUNCT
ejpam-3350	215	28	δw1dx	δw1dx	NUM
ejpam-3350	215	29	.	.	PUNCT
ejpam-3350	216	1	3	3	NUM
ejpam-3350	216	2	.	.	NOUN
ejpam-3350	216	3	necessary	necessary	ADJ
ejpam-3350	216	4	and	and	CCONJ
ejpam-3350	216	5	sufficient	sufficient	ADJ
ejpam-3350	216	6	condition	condition	NOUN
ejpam-3350	216	7	of	of	ADP
ejpam-3350	216	8	optimality	optimality	NOUN
ejpam-3350	216	9	theorem	theorem	VERB
ejpam-3350	216	10	1	1	NUM
ejpam-3350	216	11	.	.	X
ejpam-3350	217	1	for	for	ADP
ejpam-3350	217	2	the	the	DET
ejpam-3350	217	3	control	control	NOUN
ejpam-3350	217	4	v	v	NOUN
ejpam-3350	217	5	(	(	PUNCT
ejpam-3350	217	6	x	x	NOUN
ejpam-3350	217	7	)	)	PUNCT
ejpam-3350	217	8	=	=	SYM
ejpam-3350	217	9	(	(	PUNCT
ejpam-3350	217	10	v01	v01	X
ejpam-3350	217	11	(	(	PUNCT
ejpam-3350	217	12	x	x	NOUN
ejpam-3350	217	13	)	)	PUNCT
ejpam-3350	217	14	,	,	PUNCT
ejpam-3350	217	15	w0	w0	PROPN
ejpam-3350	217	16	1	1	NUM
ejpam-3350	217	17	(	(	PUNCT
ejpam-3350	217	18	x	x	NOUN
ejpam-3350	217	19	)	)	PUNCT
ejpam-3350	217	20	)	)	PUNCT
ejpam-3350	217	21	to	to	PART
ejpam-3350	217	22	be	be	AUX
ejpam-3350	217	23	an	an	DET
ejpam-3350	217	24	optimal	optimal	ADJ
ejpam-3350	217	25	control	control	NOUN
ejpam-3350	217	26	in	in	ADP
ejpam-3350	217	27	problem	problem	NOUN
ejpam-3350	217	28	(	(	PUNCT
ejpam-3350	217	29	1)-(6	1)-(6	NUM
ejpam-3350	217	30	)	)	PUNCT
ejpam-3350	217	31	,	,	PUNCT
ejpam-3350	217	32	(	(	PUNCT
ejpam-3350	217	33	10	10	NUM
ejpam-3350	217	34	)	)	PUNCT
ejpam-3350	217	35	it	it	PRON
ejpam-3350	217	36	is	be	AUX
ejpam-3350	217	37	necessary	necessary	ADJ
ejpam-3350	217	38	and	and	CCONJ
ejpam-3350	217	39	sufficient	sufficient	ADJ
ejpam-3350	218	1	that	that	SCONJ
ejpam-3350	218	2	∫	∫	PROPN
ejpam-3350	218	3	l	l	NOUN
ejpam-3350	218	4	0	0	PUNCT
ejpam-3350	219	1	[	[	X
ejpam-3350	219	2	ρ	ρ	X
ejpam-3350	219	3	(	(	PUNCT
ejpam-3350	219	4	x)a	x)a	X
ejpam-3350	219	5	(	(	PUNCT
ejpam-3350	219	6	x	x	X
ejpam-3350	219	7	)	)	PUNCT
ejpam-3350	219	8	ψ1	ψ1	NOUN
ejpam-3350	219	9	(	(	PUNCT
ejpam-3350	219	10	x	x	X
ejpam-3350	219	11	,	,	PUNCT
ejpam-3350	219	12	0)−ρ	0)−ρ	NUM
ejpam-3350	219	13	(	(	PUNCT
ejpam-3350	219	14	x)a	x)a	X
ejpam-3350	219	15	(	(	PUNCT
ejpam-3350	219	16	x	x	X
ejpam-3350	219	17	)	)	PUNCT
ejpam-3350	219	18	e(x)ψ2	e(x)ψ2	NOUN
ejpam-3350	219	19	(	(	PUNCT
ejpam-3350	219	20	x	x	X
ejpam-3350	219	21	,	,	PUNCT
ejpam-3350	219	22	0	0	NUM
ejpam-3350	219	23	)	)	PUNCT
ejpam-3350	220	1	+	+	NOUN
ejpam-3350	220	2	αv1	αv1	X
ejpam-3350	220	3	]	]	X
ejpam-3350	220	4	(	(	PUNCT
ejpam-3350	220	5	v1	v1	PROPN
ejpam-3350	220	6	(	(	PUNCT
ejpam-3350	220	7	x)−	x)−	NOUN
ejpam-3350	220	8	v01(x	v01(x	NOUN
ejpam-3350	220	9	)	)	PUNCT
ejpam-3350	220	10	)	)	PUNCT
ejpam-3350	221	1	dx+	dx+	NOUN
ejpam-3350	222	1	+	+	CCONJ
ejpam-3350	222	2	[	[	X
ejpam-3350	222	3	∫	∫	X
ejpam-3350	222	4	l	l	NOUN
ejpam-3350	222	5	0	0	NUM
ejpam-3350	222	6	−ρ	−ρ	NOUN
ejpam-3350	222	7	(	(	PUNCT
ejpam-3350	222	8	x)a	x)a	X
ejpam-3350	222	9	(	(	PUNCT
ejpam-3350	222	10	x	x	X
ejpam-3350	222	11	)	)	PUNCT
ejpam-3350	222	12	e	e	NOUN
ejpam-3350	222	13	(	(	PUNCT
ejpam-3350	222	14	x)ψ1	x)ψ1	PROPN
ejpam-3350	222	15	(	(	PUNCT
ejpam-3350	222	16	x	x	NOUN
ejpam-3350	222	17	,	,	PUNCT
ejpam-3350	222	18	0	0	NUM
ejpam-3350	222	19	)	)	PUNCT
ejpam-3350	222	20	+	+	NOUN
ejpam-3350	222	21	ρ	ρ	PROPN
ejpam-3350	222	22	(	(	PUNCT
ejpam-3350	222	23	x	x	NOUN
ejpam-3350	222	24	)	)	PUNCT
ejpam-3350	222	25	(	(	PUNCT
ejpam-3350	222	26	i	i	PRON
ejpam-3350	222	27	(	(	PUNCT
ejpam-3350	222	28	x	x	X
ejpam-3350	222	29	)	)	PUNCT
ejpam-3350	222	30	+	+	ADJ
ejpam-3350	222	31	a(x	a(x	NOUN
ejpam-3350	222	32	)	)	PUNCT
ejpam-3350	222	33	e2	e2	NOUN
ejpam-3350	222	34	(	(	PUNCT
ejpam-3350	222	35	x	x	NOUN
ejpam-3350	222	36	)	)	PUNCT
ejpam-3350	222	37	)	)	PUNCT
ejpam-3350	222	38	ψ2	ψ2	NOUN
ejpam-3350	222	39	(	(	PUNCT
ejpam-3350	222	40	x	x	X
ejpam-3350	222	41	,	,	PUNCT
ejpam-3350	222	42	0	0	NUM
ejpam-3350	222	43	)	)	PUNCT
ejpam-3350	223	1	+	+	NOUN
ejpam-3350	223	2	αw1	αw1	PRON
ejpam-3350	223	3	]	]	PUNCT
ejpam-3350	223	4	×	×	PROPN
ejpam-3350	223	5	×	×	NOUN
ejpam-3350	223	6	(	(	PUNCT
ejpam-3350	223	7	w1	w1	NOUN
ejpam-3350	223	8	(	(	PUNCT
ejpam-3350	223	9	x)−	x)−	PROPN
ejpam-3350	223	10	w0	w0	PROPN
ejpam-3350	223	11	1(x	1(x	NUM
ejpam-3350	223	12	)	)	PUNCT
ejpam-3350	223	13	)	)	PUNCT
ejpam-3350	224	1	dx≥0	dx≥0	PROPN
ejpam-3350	224	2	,	,	PUNCT
ejpam-3350	224	3	∀v	∀v	X
ejpam-3350	224	4	=	=	SYM
ejpam-3350	224	5	(	(	PUNCT
ejpam-3350	224	6	v1	v1	PROPN
ejpam-3350	224	7	,	,	PUNCT
ejpam-3350	224	8	w1	w1	NOUN
ejpam-3350	224	9	)	)	PUNCT
ejpam-3350	224	10	∈	∈	PROPN
ejpam-3350	224	11	uad	uad	PROPN
ejpam-3350	224	12	.	.	PUNCT
ejpam-3350	225	1	(	(	PUNCT
ejpam-3350	225	2	50	50	NUM
ejpam-3350	225	3	)	)	PUNCT
ejpam-3350	225	4	proof	proof	NOUN
ejpam-3350	225	5	.	.	PUNCT
ejpam-3350	226	1	let	let	VERB
ejpam-3350	226	2	v0	v0	NOUN
ejpam-3350	226	3	(	(	PUNCT
ejpam-3350	226	4	x	x	NOUN
ejpam-3350	226	5	)	)	PUNCT
ejpam-3350	226	6	=	=	SYM
ejpam-3350	226	7	(	(	PUNCT
ejpam-3350	226	8	v01	v01	X
ejpam-3350	226	9	(	(	PUNCT
ejpam-3350	226	10	x	x	NOUN
ejpam-3350	226	11	)	)	PUNCT
ejpam-3350	226	12	,	,	PUNCT
ejpam-3350	226	13	w0	w0	PROPN
ejpam-3350	226	14	1	1	NUM
ejpam-3350	226	15	(	(	PUNCT
ejpam-3350	226	16	x	x	NOUN
ejpam-3350	226	17	)	)	PUNCT
ejpam-3350	226	18	)	)	PUNCT
ejpam-3350	226	19	to	to	PART
ejpam-3350	226	20	be	be	AUX
ejpam-3350	226	21	an	an	DET
ejpam-3350	226	22	optimal	optimal	ADJ
ejpam-3350	226	23	control	control	NOUN
ejpam-3350	226	24	in	in	ADP
ejpam-3350	226	25	problem	problem	NOUN
ejpam-3350	226	26	(	(	PUNCT
ejpam-3350	226	27	1)-(6	1)-(6	NUM
ejpam-3350	226	28	)	)	PUNCT
ejpam-3350	226	29	,	,	PUNCT
ejpam-3350	226	30	(	(	PUNCT
ejpam-3350	226	31	10	10	NUM
ejpam-3350	226	32	)	)	PUNCT
ejpam-3350	226	33	.	.	PUNCT
ejpam-3350	227	1	as	as	ADP
ejpam-3350	227	2	uadis	uadis	PROPN
ejpam-3350	227	3	a	a	DET
ejpam-3350	227	4	convex	convex	NOUN
ejpam-3350	227	5	set	set	VERB
ejpam-3350	227	6	in	in	ADP
ejpam-3350	227	7	l2	l2	NOUN
ejpam-3350	227	8	(	(	PUNCT
ejpam-3350	227	9	0	0	NUM
ejpam-3350	227	10	,	,	PUNCT
ejpam-3350	227	11	l)×	l)×	NOUN
ejpam-3350	227	12	l2	l2	NOUN
ejpam-3350	227	13	(	(	PUNCT
ejpam-3350	227	14	0	0	NUM
ejpam-3350	227	15	,	,	PUNCT
ejpam-3350	227	16	l	l	NOUN
ejpam-3350	227	17	)	)	PUNCT
ejpam-3350	227	18	,	,	PUNCT
ejpam-3350	227	19	by	by	ADP
ejpam-3350	227	20	virtue	virtue	NOUN
ejpam-3350	227	21	of	of	ADP
ejpam-3350	227	22	the	the	DET
ejpam-3350	227	23	known	know	VERB
ejpam-3350	227	24	theorem	theorem	NOUN
ejpam-3350	227	25	from	from	ADP
ejpam-3350	227	26	[	[	X
ejpam-3350	227	27	7	7	NUM
ejpam-3350	227	28	,	,	PUNCT
ejpam-3350	227	29	pp	pp	ADJ
ejpam-3350	227	30	.	.	PUNCT
ejpam-3350	227	31	28	28	NUM
ejpam-3350	227	32	]	]	PUNCT
ejpam-3350	227	33	,	,	PUNCT
ejpam-3350	227	34	〈	〈	PROPN
ejpam-3350	227	35	j	j	NOUN
ejpam-3350	227	36	′	′	NUM
ejpam-3350	227	37	(	(	PUNCT
ejpam-3350	227	38	v	v	NOUN
ejpam-3350	227	39	)	)	PUNCT
ejpam-3350	227	40	,	,	PUNCT
ejpam-3350	227	41	v	v	ADP
ejpam-3350	227	42	−	−	PROPN
ejpam-3350	227	43	v0	v0	NOUN
ejpam-3350	227	44	〉	〉	NOUN
ejpam-3350	227	45	≥	≥	NUM
ejpam-3350	227	46	0,∀v	0,∀v	NUM
ejpam-3350	227	47	∈	∈	PROPN
ejpam-3350	227	48	uad	uad	PROPN
ejpam-3350	227	49	.	.	PROPN
ejpam-3350	227	50	a.t	a.t	PROPN
ejpam-3350	227	51	.	.	PROPN
ejpam-3350	227	52	ramazanova	ramazanova	PROPN
ejpam-3350	227	53	/	/	SYM
ejpam-3350	227	54	eur	eur	PROPN
ejpam-3350	227	55	.	.	PUNCT
ejpam-3350	228	1	j.	j.	PROPN
ejpam-3350	228	2	pure	pure	PROPN
ejpam-3350	228	3	appl	appl	PROPN
ejpam-3350	228	4	.	.	PROPN
ejpam-3350	228	5	math	math	PROPN
ejpam-3350	228	6	,	,	PUNCT
ejpam-3350	228	7	12	12	NUM
ejpam-3350	228	8	(	(	PUNCT
ejpam-3350	228	9	1	1	NUM
ejpam-3350	228	10	)	)	PUNCT
ejpam-3350	228	11	(	(	PUNCT
ejpam-3350	228	12	2019	2019	NUM
ejpam-3350	228	13	)	)	PUNCT
ejpam-3350	228	14	,	,	PUNCT
ejpam-3350	228	15	25	25	NUM
ejpam-3350	228	16	-	-	SYM
ejpam-3350	228	17	38	38	NUM
ejpam-3350	228	18	37	37	NUM
ejpam-3350	228	19	from	from	ADP
ejpam-3350	228	20	the	the	DET
ejpam-3350	228	21	last	last	ADJ
ejpam-3350	228	22	inequality	inequality	NOUN
ejpam-3350	228	23	we	we	PRON
ejpam-3350	228	24	get	get	VERB
ejpam-3350	228	25	necessity	necessity	NOUN
ejpam-3350	228	26	.	.	PUNCT
ejpam-3350	229	1	as	as	ADP
ejpam-3350	229	2	problem	problem	NOUN
ejpam-3350	229	3	(	(	PUNCT
ejpam-3350	229	4	1)-(6	1)-(6	NUM
ejpam-3350	229	5	)	)	PUNCT
ejpam-3350	229	6	,	,	PUNCT
ejpam-3350	229	7	(	(	PUNCT
ejpam-3350	229	8	10	10	NUM
ejpam-3350	229	9	)	)	PUNCT
ejpam-3350	229	10	is	be	AUX
ejpam-3350	229	11	a	a	DET
ejpam-3350	229	12	linear	linear	ADJ
ejpam-3350	229	13	-	-	PUNCT
ejpam-3350	229	14	quadratic	quadratic	ADJ
ejpam-3350	229	15	,	,	PUNCT
ejpam-3350	229	16	the	the	DET
ejpam-3350	229	17	obtained	obtain	VERB
ejpam-3350	229	18	condition	condition	NOUN
ejpam-3350	229	19	is	be	AUX
ejpam-3350	229	20	a	a	DET
ejpam-3350	229	21	sufficient	sufficient	ADJ
ejpam-3350	229	22	condition	condition	NOUN
ejpam-3350	229	23	as	as	ADV
ejpam-3350	229	24	well	well	ADV
ejpam-3350	229	25	for	for	ADP
ejpam-3350	229	26	the	the	DET
ejpam-3350	229	27	optimality	optimality	NOUN
ejpam-3350	229	28	of	of	ADP
ejpam-3350	229	29	the	the	DET
ejpam-3350	229	30	control	control	NOUN
ejpam-3350	229	31	v0	v0	NOUN
ejpam-3350	229	32	(	(	PUNCT
ejpam-3350	229	33	x	x	NOUN
ejpam-3350	229	34	)	)	PUNCT
ejpam-3350	229	35	.	.	PUNCT
ejpam-3350	230	1	conclusion	conclusion	NOUN
ejpam-3350	230	2	:	:	PUNCT
ejpam-3350	230	3	in	in	ADP
ejpam-3350	230	4	this	this	DET
ejpam-3350	230	5	paper	paper	NOUN
ejpam-3350	230	6	,	,	PUNCT
ejpam-3350	230	7	the	the	DET
ejpam-3350	230	8	inverse	inverse	NOUN
ejpam-3350	230	9	problem	problem	NOUN
ejpam-3350	230	10	of	of	ADP
ejpam-3350	230	11	determining	determine	VERB
ejpam-3350	230	12	the	the	DET
ejpam-3350	230	13	right	right	ADJ
ejpam-3350	230	14	-	-	PUNCT
ejpam-3350	230	15	hand	hand	NOUN
ejpam-3350	230	16	sides	side	NOUN
ejpam-3350	230	17	of	of	ADP
ejpam-3350	230	18	the	the	DET
ejpam-3350	230	19	flexural	flexural	ADJ
ejpam-3350	230	20	-	-	PUNCT
ejpam-3350	230	21	torsional	torsional	ADJ
ejpam-3350	230	22	vibrations	vibration	NOUN
ejpam-3350	230	23	of	of	ADP
ejpam-3350	230	24	a	a	DET
ejpam-3350	230	25	rod	rod	NOUN
ejpam-3350	230	26	is	be	AUX
ejpam-3350	230	27	considered	consider	VERB
ejpam-3350	230	28	.	.	PUNCT
ejpam-3350	231	1	this	this	DET
ejpam-3350	231	2	problem	problem	NOUN
ejpam-3350	231	3	is	be	AUX
ejpam-3350	231	4	reduced	reduce	VERB
ejpam-3350	231	5	to	to	ADP
ejpam-3350	231	6	the	the	DET
ejpam-3350	231	7	problem	problem	NOUN
ejpam-3350	231	8	of	of	ADP
ejpam-3350	231	9	optimal	optimal	ADJ
ejpam-3350	231	10	control	control	NOUN
ejpam-3350	231	11	.	.	PUNCT
ejpam-3350	232	1	the	the	DET
ejpam-3350	232	2	gradient	gradient	NOUN
ejpam-3350	232	3	of	of	ADP
ejpam-3350	232	4	the	the	DET
ejpam-3350	232	5	functional	functional	ADJ
ejpam-3350	232	6	is	be	AUX
ejpam-3350	232	7	calculated	calculate	VERB
ejpam-3350	232	8	and	and	CCONJ
ejpam-3350	232	9	,	,	PUNCT
ejpam-3350	232	10	using	use	VERB
ejpam-3350	232	11	the	the	DET
ejpam-3350	232	12	gradient	gradient	ADJ
ejpam-3350	232	13	expression	expression	NOUN
ejpam-3350	232	14	,	,	PUNCT
ejpam-3350	232	15	a	a	DET
ejpam-3350	232	16	necessary	necessary	ADJ
ejpam-3350	232	17	and	and	CCONJ
ejpam-3350	232	18	sufficient	sufficient	ADJ
ejpam-3350	232	19	optimality	optimality	NOUN
ejpam-3350	232	20	condition	condition	NOUN
ejpam-3350	232	21	is	be	AUX
ejpam-3350	232	22	proved	prove	VERB
ejpam-3350	232	23	.	.	PUNCT
ejpam-3350	233	1	example	example	NOUN
ejpam-3350	234	1	1	1	NUM
ejpam-3350	234	2	.	.	X
ejpam-3350	234	3	we	we	PRON
ejpam-3350	234	4	consider	consider	VERB
ejpam-3350	234	5	a	a	DET
ejpam-3350	234	6	boundary	boundary	ADJ
ejpam-3350	234	7	value	value	NOUN
ejpam-3350	234	8	problem	problem	NOUN
ejpam-3350	234	9	for	for	ADP
ejpam-3350	234	10	equations	equation	NOUN
ejpam-3350	234	11	of	of	ADP
ejpam-3350	234	12	flexural	flexural	ADJ
ejpam-3350	234	13	-	-	PUNCT
ejpam-3350	234	14	torsional	torsional	ADJ
ejpam-3350	234	15	vibrations	vibration	NOUN
ejpam-3350	234	16	of	of	ADP
ejpam-3350	234	17	a	a	DET
ejpam-3350	234	18	bar	bar	NOUN
ejpam-3350	234	19	,	,	PUNCT
ejpam-3350	234	20	described	describe	VERB
ejpam-3350	234	21	by	by	ADP
ejpam-3350	234	22	the	the	DET
ejpam-3350	234	23	system	system	NOUN
ejpam-3350	234	24	of	of	ADP
ejpam-3350	234	25	two	two	NUM
ejpam-3350	234	26	differential	differential	ADJ
ejpam-3350	234	27	equations	equation	NOUN
ejpam-3350	234	28	in	in	ADP
ejpam-3350	234	29	the	the	DET
ejpam-3350	234	30	domain	domain	NOUN
ejpam-3350	234	31	q	q	NOUN
ejpam-3350	234	32	=	=	PUNCT
ejpam-3350	234	33	{	{	PUNCT
ejpam-3350	234	34	0	0	NUM
ejpam-3350	234	35	<	<	X
ejpam-3350	234	36	x	x	X
ejpam-3350	234	37	<	<	X
ejpam-3350	234	38	1	1	NUM
ejpam-3350	234	39	,	,	PUNCT
ejpam-3350	234	40	0	0	NUM
ejpam-3350	234	41	<	<	X
ejpam-3350	234	42	t	t	X
ejpam-3350	234	43	<	<	X
ejpam-3350	234	44	1	1	NUM
ejpam-3350	234	45	}	}	PUNCT
ejpam-3350	234	46	∂4y	∂4y	ADV
ejpam-3350	234	47	∂x4	∂x4	VERB
ejpam-3350	234	48	+	+	CCONJ
ejpam-3350	234	49	4	4	NUM
ejpam-3350	234	50	∂2y	∂2y	NOUN
ejpam-3350	234	51	∂t2	∂t2	NOUN
ejpam-3350	234	52	−	−	PROPN
ejpam-3350	234	53	2	2	NUM
ejpam-3350	234	54	∂2θ	∂2θ	NOUN
ejpam-3350	234	55	∂t2	∂t2	NOUN
ejpam-3350	234	56	=	=	SYM
ejpam-3350	234	57	f1	f1	NOUN
ejpam-3350	234	58	(	(	PUNCT
ejpam-3350	234	59	x	x	PROPN
ejpam-3350	234	60	,	,	PUNCT
ejpam-3350	234	61	t	t	PROPN
ejpam-3350	234	62	)	)	PUNCT
ejpam-3350	234	63	,	,	PUNCT
ejpam-3350	234	64	(	(	PUNCT
ejpam-3350	234	65	51	51	NUM
ejpam-3350	234	66	)	)	PUNCT
ejpam-3350	234	67	∂4θ	∂4θ	VERB
ejpam-3350	234	68	∂x4	∂x4	VERB
ejpam-3350	234	69	−	−	PROPN
ejpam-3350	234	70	∂2θ	∂2θ	NOUN
ejpam-3350	234	71	∂x2	∂x2	NOUN
ejpam-3350	234	72	−	−	PROPN
ejpam-3350	234	73	2	2	NUM
ejpam-3350	234	74	∂2y	∂2y	NOUN
ejpam-3350	234	75	∂t2	∂t2	NOUN
ejpam-3350	234	76	+	+	CCONJ
ejpam-3350	234	77	3	3	NUM
ejpam-3350	234	78	∂2θ	∂2θ	NOUN
ejpam-3350	234	79	∂t2	∂t2	NOUN
ejpam-3350	234	80	=	=	SYM
ejpam-3350	234	81	f2	f2	INTJ
ejpam-3350	234	82	(	(	PUNCT
ejpam-3350	234	83	x	x	X
ejpam-3350	234	84	,	,	PUNCT
ejpam-3350	234	85	t	t	PROPN
ejpam-3350	234	86	)	)	PUNCT
ejpam-3350	234	87	,	,	PUNCT
ejpam-3350	234	88	(	(	PUNCT
ejpam-3350	234	89	x	x	NOUN
ejpam-3350	234	90	,	,	PUNCT
ejpam-3350	234	91	t)∈q	t)∈q	NUM
ejpam-3350	234	92	(	(	PUNCT
ejpam-3350	234	93	52	52	NUM
ejpam-3350	234	94	)	)	PUNCT
ejpam-3350	234	95	yx=0	yx=0	PROPN
ejpam-3350	234	96	=	=	SYM
ejpam-3350	234	97	y|x=1	y|x=1	PROPN
ejpam-3350	234	98	=	=	SYM
ejpam-3350	234	99	0	0	PROPN
ejpam-3350	234	100	,	,	PUNCT
ejpam-3350	234	101	∂y	∂y	PROPN
ejpam-3350	234	102	∂x	∂x	PROPN
ejpam-3350	234	103	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	234	104	x=0	x=0	PUNCT
ejpam-3350	234	105	=	=	SYM
ejpam-3350	234	106	∂y	∂y	PROPN
ejpam-3350	234	107	∂x	∂x	PROPN
ejpam-3350	234	108	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3350	234	109	x=1	x=1	PUNCT
ejpam-3350	234	110	=	=	SYM
ejpam-3350	234	111	0	0	NUM
ejpam-3350	234	112	,	,	PUNCT
ejpam-3350	234	113	0≤t≤t	0≤t≤t	NUM
ejpam-3350	234	114	,	,	PUNCT
ejpam-3350	234	115	(	(	PUNCT
ejpam-3350	234	116	53	53	NUM
ejpam-3350	234	117	)	)	PUNCT
ejpam-3350	234	118	θ|x=0	θ|x=0	PROPN
ejpam-3350	235	1	=	=	SYM
ejpam-3350	235	2	θ|x=1	θ|x=1	PROPN
ejpam-3350	235	3	=	=	SYM
ejpam-3350	235	4	0	0	NUM
ejpam-3350	235	5	,	,	PUNCT
ejpam-3350	235	6	∂θ	∂θ	PROPN
ejpam-3350	235	7	∂x	∂x	PROPN
ejpam-3350	235	8	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	235	9	x=0	x=0	PUNCT
ejpam-3350	236	1	=	=	SYM
ejpam-3350	236	2	∂θ	∂θ	PROPN
ejpam-3350	236	3	∂x	∂x	PROPN
ejpam-3350	236	4	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	236	5	x=1	x=1	PUNCT
ejpam-3350	236	6	=	=	SYM
ejpam-3350	236	7	0	0	NUM
ejpam-3350	236	8	,	,	PUNCT
ejpam-3350	236	9	0≤t≤t	0≤t≤t	NUM
ejpam-3350	236	10	,	,	PUNCT
ejpam-3350	236	11	(	(	PUNCT
ejpam-3350	236	12	54	54	NUM
ejpam-3350	236	13	)	)	PUNCT
ejpam-3350	236	14	y|t=0	y|t=0	PROPN
ejpam-3350	237	1	=	=	SYM
ejpam-3350	237	2	0	0	PROPN
ejpam-3350	237	3	,	,	PUNCT
ejpam-3350	237	4	∂y	∂y	PROPN
ejpam-3350	237	5	∂t	∂t	PROPN
ejpam-3350	237	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	237	7	t=0	t=0	VERB
ejpam-3350	237	8	=	=	SYM
ejpam-3350	237	9	v1	v1	NOUN
ejpam-3350	237	10	(	(	PUNCT
ejpam-3350	237	11	x	x	NOUN
ejpam-3350	237	12	)	)	PUNCT
ejpam-3350	237	13	,	,	PUNCT
ejpam-3350	237	14	(	(	PUNCT
ejpam-3350	237	15	55	55	NUM
ejpam-3350	237	16	)	)	PUNCT
ejpam-3350	237	17	θ|t=0	θ|t=0	X
ejpam-3350	237	18	=	=	NOUN
ejpam-3350	237	19	0	0	PROPN
ejpam-3350	237	20	,	,	PUNCT
ejpam-3350	237	21	∂θ	∂θ	PROPN
ejpam-3350	238	1	∂t	∂t	PROPN
ejpam-3350	238	2	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3350	238	3	t=0	t=0	VERB
ejpam-3350	238	4	=	=	PUNCT
ejpam-3350	238	5	v2	v2	PROPN
ejpam-3350	238	6	(	(	PUNCT
ejpam-3350	238	7	x	x	NOUN
ejpam-3350	238	8	)	)	PUNCT
ejpam-3350	238	9	,	,	PUNCT
ejpam-3350	238	10	(	(	PUNCT
ejpam-3350	238	11	56	56	NUM
ejpam-3350	238	12	)	)	PUNCT
ejpam-3350	238	13	f1	f1	NOUN
ejpam-3350	238	14	(	(	PUNCT
ejpam-3350	238	15	x	x	PROPN
ejpam-3350	238	16	,	,	PUNCT
ejpam-3350	238	17	t	t	PROPN
ejpam-3350	238	18	)	)	PUNCT
ejpam-3350	238	19	=	=	SYM
ejpam-3350	238	20	24	24	NUM
ejpam-3350	238	21	t	t	PROPN
ejpam-3350	238	22	,	,	PUNCT
ejpam-3350	238	23	f2	f2	PROPN
ejpam-3350	238	24	(	(	PUNCT
ejpam-3350	238	25	x	x	NOUN
ejpam-3350	238	26	,	,	PUNCT
ejpam-3350	238	27	t	t	PROPN
ejpam-3350	238	28	)	)	PUNCT
ejpam-3350	238	29	=	=	SYM
ejpam-3350	238	30	44t+	44t+	NOUN
ejpam-3350	238	31	24tx−	24tx−	NUM
ejpam-3350	238	32	24tx2	24tx2	NOUN
ejpam-3350	238	33	.	.	PUNCT
ejpam-3350	239	1	in	in	ADP
ejpam-3350	239	2	the	the	DET
ejpam-3350	239	3	special	special	ADJ
ejpam-3350	239	4	case	case	NOUN
ejpam-3350	239	5	,	,	PUNCT
ejpam-3350	239	6	the	the	DET
ejpam-3350	239	7	coefficients	coefficient	NOUN
ejpam-3350	239	8	of	of	ADP
ejpam-3350	239	9	equations	equation	NOUN
ejpam-3350	239	10	(	(	PUNCT
ejpam-3350	239	11	51)-(52	51)-(52	NUM
ejpam-3350	239	12	)	)	PUNCT
ejpam-3350	239	13	were	be	AUX
ejpam-3350	239	14	taken	take	VERB
ejpam-3350	239	15	in	in	ADP
ejpam-3350	239	16	the	the	DET
ejpam-3350	239	17	from	from	ADP
ejpam-3350	239	18	:	:	PUNCT
ejpam-3350	239	19	e	e	NOUN
ejpam-3350	239	20	=	=	SYM
ejpam-3350	239	21	1	1	NUM
ejpam-3350	239	22	2	2	NUM
ejpam-3350	239	23	,	,	PUNCT
ejpam-3350	239	24	i	i	PRON
ejpam-3350	239	25	=	=	NOUN
ejpam-3350	239	26	2	2	NUM
ejpam-3350	239	27	,	,	PUNCT
ejpam-3350	239	28	ρ	ρ	NOUN
ejpam-3350	239	29	=	=	SYM
ejpam-3350	239	30	1	1	NUM
ejpam-3350	239	31	,	,	PUNCT
ejpam-3350	239	32	e	e	NOUN
ejpam-3350	239	33	=	=	SYM
ejpam-3350	239	34	1	1	NUM
ejpam-3350	239	35	2	2	NUM
ejpam-3350	239	36	,	,	PUNCT
ejpam-3350	239	37	a	a	DET
ejpam-3350	239	38	=	=	SYM
ejpam-3350	239	39	4	4	NUM
ejpam-3350	239	40	,	,	PUNCT
ejpam-3350	239	41	cw	cw	NOUN
ejpam-3350	239	42	=	=	SYM
ejpam-3350	239	43	2	2	NUM
ejpam-3350	239	44	,	,	PUNCT
ejpam-3350	239	45	g	g	NOUN
ejpam-3350	239	46	=	=	SYM
ejpam-3350	239	47	1	1	NUM
ejpam-3350	239	48	,	,	PUNCT
ejpam-3350	239	49	c	c	NOUN
ejpam-3350	239	50	=	=	SYM
ejpam-3350	239	51	1	1	X
ejpam-3350	239	52	.	.	PUNCT
ejpam-3350	240	1	in	in	ADP
ejpam-3350	240	2	order	order	NOUN
ejpam-3350	240	3	to	to	PART
ejpam-3350	240	4	determine	determine	VERB
ejpam-3350	240	5	v	v	NOUN
ejpam-3350	240	6	(	(	PUNCT
ejpam-3350	240	7	x	x	NOUN
ejpam-3350	240	8	)	)	PUNCT
ejpam-3350	240	9	=	=	SYM
ejpam-3350	240	10	(	(	PUNCT
ejpam-3350	240	11	v1	v1	PROPN
ejpam-3350	240	12	(	(	PUNCT
ejpam-3350	240	13	x	x	NOUN
ejpam-3350	240	14	)	)	PUNCT
ejpam-3350	240	15	,	,	PUNCT
ejpam-3350	240	16	v2	v2	PROPN
ejpam-3350	240	17	(	(	PUNCT
ejpam-3350	240	18	x	x	NOUN
ejpam-3350	240	19	)	)	PUNCT
ejpam-3350	240	20	)	)	PUNCT
ejpam-3350	240	21	,	,	PUNCT
ejpam-3350	240	22	we	we	PRON
ejpam-3350	240	23	give	give	VERB
ejpam-3350	240	24	the	the	DET
ejpam-3350	240	25	additional	additional	ADJ
ejpam-3350	240	26	conditions	condition	NOUN
ejpam-3350	240	27	:	:	PUNCT
ejpam-3350	240	28	y	y	PROPN
ejpam-3350	240	29	(	(	PUNCT
ejpam-3350	240	30	x	x	PROPN
ejpam-3350	240	31	,	,	PUNCT
ejpam-3350	240	32	1	1	NUM
ejpam-3350	240	33	2	2	NUM
ejpam-3350	240	34	,	,	PUNCT
ejpam-3350	240	35	v	v	NOUN
ejpam-3350	240	36	)	)	PUNCT
ejpam-3350	240	37	=	=	PUNCT
ejpam-3350	241	1	x2(1−	x2(1−	PROPN
ejpam-3350	241	2	x)2	x)2	PROPN
ejpam-3350	242	1	2	2	NUM
ejpam-3350	242	2	θ	θ	NOUN
ejpam-3350	242	3	(	(	PUNCT
ejpam-3350	242	4	x	x	NOUN
ejpam-3350	242	5	,	,	PUNCT
ejpam-3350	242	6	1	1	NUM
ejpam-3350	242	7	2	2	NUM
ejpam-3350	242	8	,	,	PUNCT
ejpam-3350	242	9	v	v	NOUN
ejpam-3350	242	10	)	)	PUNCT
ejpam-3350	242	11	=	=	PUNCT
ejpam-3350	242	12	x2(1−	x2(1−	PROPN
ejpam-3350	242	13	x)2	x)2	PROPN
ejpam-3350	242	14	.	.	PUNCT
ejpam-3350	243	1	in	in	ADP
ejpam-3350	243	2	this	this	DET
ejpam-3350	243	3	special	special	ADJ
ejpam-3350	243	4	case	case	NOUN
ejpam-3350	243	5	the	the	DET
ejpam-3350	243	6	functional	functional	ADJ
ejpam-3350	243	7	(	(	PUNCT
ejpam-3350	243	8	9	9	NUM
ejpam-3350	243	9	)	)	PUNCT
ejpam-3350	243	10	has	have	VERB
ejpam-3350	243	11	the	the	DET
ejpam-3350	243	12	form	form	NOUN
ejpam-3350	243	13	j0	j0	PROPN
ejpam-3350	243	14	(	(	PUNCT
ejpam-3350	243	15	v	v	NOUN
ejpam-3350	243	16	)	)	PUNCT
ejpam-3350	243	17	=	=	SYM
ejpam-3350	243	18	1	1	NUM
ejpam-3350	243	19	2	2	NUM
ejpam-3350	243	20	∫	∫	NOUN
ejpam-3350	243	21	1	1	NUM
ejpam-3350	243	22	0	0	NUM
ejpam-3350	243	23	(y(x	(y(x	NOUN
ejpam-3350	243	24	,	,	PUNCT
ejpam-3350	243	25	1	1	NUM
ejpam-3350	243	26	2	2	NUM
ejpam-3350	243	27	,	,	PUNCT
ejpam-3350	243	28	v	v	NOUN
ejpam-3350	243	29	)	)	PUNCT
ejpam-3350	243	30	−	−	NOUN
ejpam-3350	243	31	x2(1−	x2(1−	PROPN
ejpam-3350	243	32	x)2	x)2	PROPN
ejpam-3350	243	33	2	2	NUM
ejpam-3350	243	34	)	)	SYM
ejpam-3350	243	35	2	2	NUM
ejpam-3350	244	1	+	+	CCONJ
ejpam-3350	244	2	(	(	PUNCT
ejpam-3350	244	3	θ	θ	PROPN
ejpam-3350	244	4	(	(	PUNCT
ejpam-3350	244	5	x	x	NOUN
ejpam-3350	244	6	,	,	PUNCT
ejpam-3350	244	7	1	1	NUM
ejpam-3350	244	8	2	2	NUM
ejpam-3350	244	9	,	,	PUNCT
ejpam-3350	244	10	v	v	NOUN
ejpam-3350	244	11	)	)	PUNCT
ejpam-3350	244	12	−	−	NOUN
ejpam-3350	244	13	x2(1−	x2(1−	PROPN
ejpam-3350	244	14	x)2	x)2	PROPN
ejpam-3350	244	15	)	)	PUNCT
ejpam-3350	244	16	2	2	NUM
ejpam-3350	244	17	]	]	SYM
ejpam-3350	244	18	dx	dx	PROPN
ejpam-3350	244	19	.	.	PROPN
ejpam-3350	244	20	references	reference	NOUN
ejpam-3350	244	21	38	38	NUM
ejpam-3350	244	22	it	it	PRON
ejpam-3350	244	23	is	be	AUX
ejpam-3350	244	24	easy	easy	ADJ
ejpam-3350	244	25	to	to	PART
ejpam-3350	244	26	verify	verify	VERB
ejpam-3350	244	27	that	that	SCONJ
ejpam-3350	244	28	y	y	PROPN
ejpam-3350	244	29	(	(	PUNCT
ejpam-3350	244	30	x	x	PROPN
ejpam-3350	244	31	,	,	PUNCT
ejpam-3350	244	32	t	t	PROPN
ejpam-3350	244	33	)	)	PUNCT
ejpam-3350	244	34	=	=	PUNCT
ejpam-3350	244	35	tx2(1−	tx2(1−	X
ejpam-3350	244	36	x)2	x)2	NOUN
ejpam-3350	244	37	,	,	PUNCT
ejpam-3350	244	38	θ	θ	PROPN
ejpam-3350	244	39	(	(	PUNCT
ejpam-3350	244	40	x	x	NOUN
ejpam-3350	244	41	,	,	PUNCT
ejpam-3350	244	42	t	t	PROPN
ejpam-3350	244	43	)	)	PUNCT
ejpam-3350	244	44	=	=	PUNCT
ejpam-3350	245	1	2tx2(1−	2tx2(1−	NUM
ejpam-3350	245	2	x)2	x)2	NOUN
ejpam-3350	245	3	and	and	CCONJ
ejpam-3350	245	4	inf	inf	PROPN
ejpam-3350	245	5	j	j	PROPN
ejpam-3350	245	6	(	(	PUNCT
ejpam-3350	245	7	v	v	NOUN
ejpam-3350	245	8	)	)	PUNCT
ejpam-3350	245	9	v∈l2(0,1)×l2(0,1	v∈l2(0,1)×l2(0,1	ADP
ejpam-3350	245	10	)	)	PUNCT
ejpam-3350	245	11	=	=	SYM
ejpam-3350	245	12	min	min	PROPN
ejpam-3350	245	13	j	j	PROPN
ejpam-3350	245	14	(	(	PUNCT
ejpam-3350	245	15	v	v	NOUN
ejpam-3350	245	16	)	)	PUNCT
ejpam-3350	245	17	v∈l2(0,1)×l2(0,1	v∈l2(0,1)×l2(0,1	ADP
ejpam-3350	245	18	)	)	PUNCT
ejpam-3350	245	19	=	=	SYM
ejpam-3350	245	20	0	0	NUM
ejpam-3350	245	21	,	,	PUNCT
ejpam-3350	245	22	and	and	CCONJ
ejpam-3350	245	23	the	the	DET
ejpam-3350	245	24	minimum	minimum	NOUN
ejpam-3350	245	25	of	of	ADP
ejpam-3350	245	26	the	the	DET
ejpam-3350	245	27	functionalj	functionalj	NOUN
ejpam-3350	245	28	(	(	PUNCT
ejpam-3350	245	29	v	v	NOUN
ejpam-3350	245	30	)	)	PUNCT
ejpam-3350	245	31	is	be	AUX
ejpam-3350	245	32	attained	attain	VERB
ejpam-3350	245	33	for	for	ADP
ejpam-3350	245	34	v	v	NOUN
ejpam-3350	245	35	=	=	SYM
ejpam-3350	245	36	v0	v0	NOUN
ejpam-3350	245	37	(	(	PUNCT
ejpam-3350	245	38	x	x	NOUN
ejpam-3350	245	39	)	)	PUNCT
ejpam-3350	245	40	=	=	SYM
ejpam-3350	245	41	(	(	PUNCT
ejpam-3350	245	42	v01	v01	X
ejpam-3350	245	43	(	(	PUNCT
ejpam-3350	245	44	x	x	NOUN
ejpam-3350	245	45	)	)	PUNCT
ejpam-3350	245	46	,	,	PUNCT
ejpam-3350	245	47	v02	v02	NOUN
ejpam-3350	245	48	(	(	PUNCT
ejpam-3350	245	49	x	x	NOUN
ejpam-3350	245	50	)	)	PUNCT
ejpam-3350	245	51	)	)	PUNCT
ejpam-3350	246	1	=	=	PUNCT
ejpam-3350	246	2	(	(	PUNCT
ejpam-3350	246	3	x2(1−	x2(1−	X
ejpam-3350	246	4	x)2	x)2	PROPN
ejpam-3350	246	5	,	,	PUNCT
ejpam-3350	246	6	2x2(1−	2x2(1−	NUM
ejpam-3350	246	7	x)2	x)2	NOUN
ejpam-3350	246	8	)	)	PUNCT
ejpam-3350	246	9	.	.	PUNCT
ejpam-3350	247	1	in	in	ADP
ejpam-3350	247	2	this	this	DET
ejpam-3350	247	3	case	case	NOUN
ejpam-3350	247	4	necessary	necessary	ADJ
ejpam-3350	247	5	and	and	CCONJ
ejpam-3350	247	6	sufficient	sufficient	ADJ
ejpam-3350	247	7	condition	condition	NOUN
ejpam-3350	247	8	(	(	PUNCT
ejpam-3350	247	9	28	28	NUM
ejpam-3350	247	10	)	)	PUNCT
ejpam-3350	247	11	is	be	AUX
ejpam-3350	247	12	fulfilled	fulfil	VERB
ejpam-3350	247	13	by	by	ADP
ejpam-3350	247	14	itself	itself	PRON
ejpam-3350	247	15	,	,	PUNCT
ejpam-3350	248	1	when	when	SCONJ
ejpam-3350	248	2	α	α	PROPN
ejpam-3350	248	3	=	=	SYM
ejpam-3350	248	4	0	0	PROPN
ejpam-3350	248	5	.	.	PUNCT
ejpam-3350	248	6	references	reference	NOUN
ejpam-3350	248	7	[	[	X
ejpam-3350	248	8	1	1	NUM
ejpam-3350	248	9	]	]	X
ejpam-3350	248	10	j.l	j.l	PROPN
ejpam-3350	248	11	.	.	PROPN
ejpam-3350	248	12	arman	arman	PROPN
ejpam-3350	248	13	,	,	PUNCT
ejpam-3350	248	14	application	application	NOUN
ejpam-3350	248	15	of	of	ADP
ejpam-3350	248	16	theory	theory	NOUN
ejpam-3350	248	17	of	of	ADP
ejpam-3350	248	18	optimal	optimal	ADJ
ejpam-3350	248	19	control	control	NOUN
ejpam-3350	248	20	of	of	ADP
ejpam-3350	248	21	distributed	distribute	VERB
ejpam-3350	248	22	parameters	parameter	NOUN
ejpam-3350	248	23	systems	system	NOUN
ejpam-3350	248	24	to	to	ADP
ejpam-3350	248	25	construction	construction	NOUN
ejpam-3350	248	26	optimization	optimization	NOUN
ejpam-3350	248	27	problems	problem	NOUN
ejpam-3350	248	28	.	.	PUNCT
ejpam-3350	249	1	moscow	moscow	PROPN
ejpam-3350	249	2	,	,	PUNCT
ejpam-3350	249	3	mir	mir	PROPN
ejpam-3350	249	4	,	,	PUNCT
ejpam-3350	249	5	1977	1977	NUM
ejpam-3350	249	6	.	.	PUNCT
ejpam-3350	250	1	[	[	X
ejpam-3350	250	2	2	2	NUM
ejpam-3350	250	3	]	]	X
ejpam-3350	250	4	a.g	a.g	PROPN
ejpam-3350	250	5	.	.	PROPN
ejpam-3350	250	6	butkovsky	butkovsky	PROPN
ejpam-3350	250	7	,	,	PUNCT
ejpam-3350	250	8	a.i	a.i	PROPN
ejpam-3350	250	9	.	.	PROPN
ejpam-3350	250	10	egorov	egorov	PROPN
ejpam-3350	250	11	,	,	PUNCT
ejpam-3350	250	12	k.a	k.a	PROPN
ejpam-3350	250	13	.	.	PUNCT
ejpam-3350	250	14	lurie	lurie	PROPN
ejpam-3350	250	15	,	,	PUNCT
ejpam-3350	250	16	optimal	optimal	ADJ
ejpam-3350	250	17	control	control	NOUN
ejpam-3350	250	18	of	of	ADP
ejpam-3350	250	19	distributed	distribute	VERB
ejpam-3350	250	20	systems.siam	systems.siam	PROPN
ejpam-3350	250	21	j.	j.	PROPN
ejpam-3350	250	22	control	control	PROPN
ejpam-3350	250	23	6	6	NUM
ejpam-3350	250	24	(	(	PUNCT
ejpam-3350	250	25	1968	1968	NUM
ejpam-3350	250	26	)	)	PUNCT
ejpam-3350	250	27	,	,	PUNCT
ejpam-3350	250	28	no	no	INTJ
ejpam-3350	250	29	.	.	NOUN
ejpam-3350	250	30	3	3	NUM
ejpam-3350	250	31	,	,	PUNCT
ejpam-3350	250	32	437	437	NUM
ejpam-3350	250	33	-	-	SYM
ejpam-3350	250	34	476	476	NUM
ejpam-3350	250	35	.	.	PUNCT
ejpam-3350	251	1	[	[	X
ejpam-3350	251	2	3	3	X
ejpam-3350	251	3	]	]	X
ejpam-3350	251	4	a.z	a.z	PROPN
ejpam-3350	251	5	.	.	PROPN
ejpam-3350	251	6	ishmukhametov	ishmukhametov	PROPN
ejpam-3350	251	7	,	,	PUNCT
ejpam-3350	251	8	stability	stability	NOUN
ejpam-3350	251	9	and	and	CCONJ
ejpam-3350	251	10	approximation	approximation	NOUN
ejpam-3350	251	11	of	of	ADP
ejpam-3350	251	12	optimal	optimal	ADJ
ejpam-3350	251	13	control	control	NOUN
ejpam-3350	251	14	of	of	ADP
ejpam-3350	251	15	distributed	distribute	VERB
ejpam-3350	251	16	parameters	parameter	NOUN
ejpam-3350	251	17	systems	system	NOUN
ejpam-3350	251	18	.	.	PUNCT
ejpam-3350	252	1	computing	computing	NOUN
ejpam-3350	252	2	center	center	PROPN
ejpam-3350	252	3	of	of	ADP
ejpam-3350	252	4	ras	ras	PROPN
ejpam-3350	252	5	,	,	PUNCT
ejpam-3350	252	6	2001	2001	NUM
ejpam-3350	252	7	.	.	PUNCT
ejpam-3350	253	1	[	[	X
ejpam-3350	253	2	4	4	X
ejpam-3350	253	3	]	]	X
ejpam-3350	253	4	v.	v.	X
ejpam-3350	253	5	komkov	komkov	PROPN
ejpam-3350	253	6	,	,	PUNCT
ejpam-3350	253	7	the	the	DET
ejpam-3350	253	8	optimal	optimal	ADJ
ejpam-3350	253	9	control	control	NOUN
ejpam-3350	253	10	theory	theory	NOUN
ejpam-3350	253	11	of	of	ADP
ejpam-3350	253	12	a	a	DET
ejpam-3350	253	13	transverse	transverse	NOUN
ejpam-3350	253	14	vibrations	vibration	NOUN
ejpam-3350	253	15	of	of	ADP
ejpam-3350	253	16	a	a	DET
ejpam-3350	253	17	beam	beam	NOUN
ejpam-3350	253	18	.	.	PUNCT
ejpam-3350	254	1	siamj	siamj	NOUN
ejpam-3350	254	2	.	.	PUNCT
ejpam-3350	255	1	control	control	NOUN
ejpam-3350	255	2	6	6	NUM
ejpam-3350	255	3	(	(	PUNCT
ejpam-3350	255	4	1968	1968	NUM
ejpam-3350	255	5	)	)	PUNCT
ejpam-3350	255	6	,	,	PUNCT
ejpam-3350	255	7	no	no	INTJ
ejpam-3350	255	8	.	.	NOUN
ejpam-3350	255	9	3	3	NUM
ejpam-3350	255	10	,	,	PUNCT
ejpam-3350	255	11	401	401	NUM
ejpam-3350	255	12	-	-	SYM
ejpam-3350	255	13	421	421	NUM
ejpam-3350	255	14	.	.	PUNCT
ejpam-3350	256	1	[	[	X
ejpam-3350	256	2	5	5	NUM
ejpam-3350	256	3	]	]	X
ejpam-3350	256	4	f.e	f.e	PROPN
ejpam-3350	256	5	.	.	PROPN
ejpam-3350	256	6	lomovtsev	lomovtsev	PROPN
ejpam-3350	256	7	,	,	PUNCT
ejpam-3350	256	8	n.a	n.a	PROPN
ejpam-3350	256	9	.	.	PROPN
ejpam-3350	256	10	yurchuk	yurchuk	PROPN
ejpam-3350	256	11	,	,	PUNCT
ejpam-3350	256	12	cauchy	cauchy	ADJ
ejpam-3350	256	13	problem	problem	NOUN
ejpam-3350	256	14	for	for	ADP
ejpam-3350	256	15	second	second	ADJ
ejpam-3350	256	16	order	order	NOUN
ejpam-3350	256	17	hyperbolic	hyperbolic	ADJ
ejpam-3350	256	18	differential	differential	ADJ
ejpam-3350	256	19	-	-	PUNCT
ejpam-3350	256	20	operator	operator	NOUN
ejpam-3350	256	21	equations	equation	NOUN
ejpam-3350	256	22	,	,	PUNCT
ejpam-3350	256	23	diff	diff	PROPN
ejpam-3350	256	24	.	.	PUNCT
ejpam-3350	257	1	uravn	uravn	ADJ
ejpam-3350	257	2	.	.	PUNCT
ejpam-3350	258	1	12	12	NUM
ejpam-3350	258	2	(	(	PUNCT
ejpam-3350	258	3	1976	1976	NUM
ejpam-3350	258	4	)	)	PUNCT
ejpam-3350	258	5	,	,	PUNCT
ejpam-3350	258	6	no.12	no.12	VERB
ejpam-3350	258	7	,	,	PUNCT
ejpam-3350	258	8	2242	2242	NUM
ejpam-3350	258	9	-	-	SYM
ejpam-3350	258	10	2250	2250	NUM
ejpam-3350	258	11	.	.	PUNCT
ejpam-3350	259	1	[	[	X
ejpam-3350	259	2	6	6	NUM
ejpam-3350	259	3	]	]	X
ejpam-3350	259	4	o.a	o.a	PROPN
ejpam-3350	259	5	.	.	PROPN
ejpam-3350	259	6	ladyzhenskaya	ladyzhenskaya	PROPN
ejpam-3350	259	7	,	,	PUNCT
ejpam-3350	259	8	boundary	boundary	ADJ
ejpam-3350	259	9	value	value	NOUN
ejpam-3350	259	10	problems	problem	NOUN
ejpam-3350	259	11	of	of	ADP
ejpam-3350	259	12	mathematical	mathematical	ADJ
ejpam-3350	259	13	physics	physics	NOUN
ejpam-3350	259	14	.	.	PUNCT
ejpam-3350	260	1	moscow	moscow	PROPN
ejpam-3350	260	2	:	:	PUNCT
ejpam-3350	260	3	nauka	nauka	PROPN
ejpam-3350	260	4	,	,	PUNCT
ejpam-3350	260	5	1973	1973	NUM
ejpam-3350	260	6	.	.	PUNCT
ejpam-3350	261	1	[	[	X
ejpam-3350	261	2	7	7	NUM
ejpam-3350	261	3	]	]	X
ejpam-3350	261	4	f.p	f.p	PROPN
ejpam-3350	261	5	.	.	PROPN
ejpam-3350	261	6	vasil’ev	vasil’ev	PROPN
ejpam-3350	261	7	,	,	PUNCT
ejpam-3350	261	8	methods	method	NOUN
ejpam-3350	261	9	for	for	ADP
ejpam-3350	261	10	solving	solve	VERB
ejpam-3350	261	11	extrum	extrum	NOUN
ejpam-3350	261	12	problems	problem	NOUN
ejpam-3350	261	13	.	.	PUNCT
ejpam-3350	262	1	moscow	moscow	PROPN
ejpam-3350	262	2	:	:	PUNCT
ejpam-3350	262	3	nauka	nauka	PROPN
ejpam-3350	262	4	42	42	NUM
ejpam-3350	262	5	,	,	PUNCT
ejpam-3350	262	6	(	(	PUNCT
ejpam-3350	262	7	2016	2016	NUM
ejpam-3350	262	8	)	)	PUNCT
ejpam-3350	262	9	,	,	PUNCT
ejpam-3350	262	10	no	no	DET
ejpam-3350	262	11	2	2	NUM
ejpam-3350	262	12	,	,	PUNCT
ejpam-3350	262	13	174	174	NUM
ejpam-3350	262	14	-	-	SYM
ejpam-3350	262	15	187	187	NUM
ejpam-3350	262	16	[	[	SYM
ejpam-3350	262	17	8	8	NUM
ejpam-3350	262	18	]	]	X
ejpam-3350	262	19	a.t.ramazanova	a.t.ramazanova	X
ejpam-3350	262	20	,	,	PUNCT
ejpam-3350	262	21	g.f.kuliev	g.f.kuliev	NOUN
ejpam-3350	262	22	,	,	PUNCT
ejpam-3350	262	23	on	on	ADP
ejpam-3350	262	24	finding	find	VERB
ejpam-3350	262	25	the	the	DET
ejpam-3350	262	26	right	right	ADJ
ejpam-3350	262	27	-	-	PUNCT
ejpam-3350	262	28	hand	hand	NOUN
ejpam-3350	262	29	sides	side	NOUN
ejpam-3350	262	30	of	of	ADP
ejpam-3350	262	31	equations	equation	NOUN
ejpam-3350	262	32	of	of	ADP
ejpam-3350	262	33	flexural	flexural	ADJ
ejpam-3350	262	34	-	-	PUNCT
ejpam-3350	262	35	torsional	torsional	ADJ
ejpam-3350	262	36	vibrations	vibration	NOUN
ejpam-3350	262	37	of	of	ADP
ejpam-3350	262	38	a	a	DET
ejpam-3350	262	39	bar	bar	NOUN
ejpam-3350	262	40	,	,	PUNCT
ejpam-3350	262	41	journal	journal	NOUN
ejpam-3350	262	42	of	of	ADP
ejpam-3350	262	43	automation	automation	NOUN
ejpam-3350	262	44	and	and	CCONJ
ejpam-3350	262	45	information	information	NOUN
ejpam-3350	262	46	sciences	science	NOUN
ejpam-3350	262	47	48	48	NUM
ejpam-3350	262	48	(	(	PUNCT
ejpam-3350	262	49	8)	8)	NUM
ejpam-3350	262	50	,	,	PUNCT
ejpam-3350	262	51	(	(	PUNCT
ejpam-3350	262	52	2016	2016	NUM
ejpam-3350	262	53	)	)	PUNCT
ejpam-3350	262	54	.	.	PUNCT