id	sid	tid	token	lemma	pos
ejpam-5729	1	1	european	european	PROPN
ejpam-5729	1	2	journal	journal	PROPN
ejpam-5729	1	3	of	of	ADP
ejpam-5729	1	4	pure	pure	ADJ
ejpam-5729	1	5	and	and	CCONJ
ejpam-5729	1	6	applied	applied	ADJ
ejpam-5729	1	7	mathematics	mathematic	NOUN
ejpam-5729	1	8	2025	2025	NUM
ejpam-5729	1	9	,	,	PUNCT
ejpam-5729	1	10	vol	vol	NOUN
ejpam-5729	1	11	.	.	PROPN
ejpam-5729	1	12	18	18	NUM
ejpam-5729	1	13	,	,	PUNCT
ejpam-5729	1	14	issue	issue	NOUN
ejpam-5729	1	15	1	1	NUM
ejpam-5729	1	16	,	,	PUNCT
ejpam-5729	1	17	article	article	NOUN
ejpam-5729	1	18	number	number	NOUN
ejpam-5729	1	19	5729	5729	NUM
ejpam-5729	1	20	issn	issn	PROPN
ejpam-5729	1	21	1307	1307	NUM
ejpam-5729	1	22	-	-	SYM
ejpam-5729	1	23	5543	5543	NUM
ejpam-5729	1	24	–	–	PUNCT
ejpam-5729	1	25	ejpam.com	ejpam.com	X
ejpam-5729	1	26	published	publish	VERB
ejpam-5729	1	27	by	by	ADP
ejpam-5729	1	28	new	new	PROPN
ejpam-5729	1	29	york	york	PROPN
ejpam-5729	1	30	business	business	PROPN
ejpam-5729	1	31	global	global	ADJ
ejpam-5729	1	32	fourth	fourth	ADJ
ejpam-5729	1	33	order	order	NOUN
ejpam-5729	1	34	functional	functional	ADJ
ejpam-5729	1	35	differential	differential	ADJ
ejpam-5729	1	36	equations	equation	NOUN
ejpam-5729	1	37	of	of	ADP
ejpam-5729	1	38	neutral	neutral	ADJ
ejpam-5729	1	39	type	type	NOUN
ejpam-5729	1	40	:	:	PUNCT
ejpam-5729	1	41	enhanced	enhance	VERB
ejpam-5729	1	42	oscillation	oscillation	NOUN
ejpam-5729	1	43	theorems	theorem	NOUN
ejpam-5729	1	44	waed	wae	VERB
ejpam-5729	1	45	muhsin1	muhsin1	ADJ
ejpam-5729	1	46	,	,	PUNCT
ejpam-5729	1	47	barakah	barakah	PROPN
ejpam-5729	1	48	almarri2	almarri2	PROPN
ejpam-5729	1	49	,	,	PUNCT
ejpam-5729	1	50	mohammad	mohammad	PROPN
ejpam-5729	1	51	s.	s.	PROPN
ejpam-5729	1	52	jazmati3	jazmati3	PROPN
ejpam-5729	1	53	,	,	PUNCT
ejpam-5729	1	54	osama	osama	PROPN
ejpam-5729	1	55	moaaz1,3,∗	moaaz1,3,∗	NOUN
ejpam-5729	1	56	,	,	PUNCT
ejpam-5729	1	57	elmetwally	elmetwally	ADV
ejpam-5729	1	58	m.	m.	NOUN
ejpam-5729	1	59	elabbasy1	elabbasy1	NOUN
ejpam-5729	1	60	1	1	NUM
ejpam-5729	1	61	department	department	NOUN
ejpam-5729	1	62	of	of	ADP
ejpam-5729	1	63	mathematics	mathematic	NOUN
ejpam-5729	1	64	,	,	PUNCT
ejpam-5729	1	65	faculty	faculty	NOUN
ejpam-5729	1	66	of	of	ADP
ejpam-5729	1	67	science	science	NOUN
ejpam-5729	1	68	,	,	PUNCT
ejpam-5729	1	69	mansoura	mansoura	PROPN
ejpam-5729	1	70	university	university	NOUN
ejpam-5729	1	71	,	,	PUNCT
ejpam-5729	1	72	35516	35516	NUM
ejpam-5729	1	73	mansoura	mansoura	PROPN
ejpam-5729	1	74	,	,	PUNCT
ejpam-5729	1	75	egypt	egypt	PROPN
ejpam-5729	1	76	2	2	NUM
ejpam-5729	1	77	department	department	NOUN
ejpam-5729	1	78	of	of	ADP
ejpam-5729	1	79	general	general	ADJ
ejpam-5729	1	80	studies	study	NOUN
ejpam-5729	1	81	,	,	PUNCT
ejpam-5729	1	82	jubail	jubail	PROPN
ejpam-5729	1	83	industrial	industrial	PROPN
ejpam-5729	1	84	college	college	PROPN
ejpam-5729	1	85	,	,	PUNCT
ejpam-5729	1	86	8244	8244	NUM
ejpam-5729	1	87	,	,	PUNCT
ejpam-5729	1	88	rd	rd	NOUN
ejpam-5729	1	89	number	number	NOUN
ejpam-5729	1	90	6	6	NUM
ejpam-5729	1	91	,	,	PUNCT
ejpam-5729	1	92	al	al	PROPN
ejpam-5729	1	93	huwaylat	huwaylat	PROPN
ejpam-5729	1	94	,	,	PUNCT
ejpam-5729	1	95	35718	35718	NUM
ejpam-5729	1	96	,	,	PUNCT
ejpam-5729	1	97	al	al	PROPN
ejpam-5729	1	98	jubail	jubail	PROPN
ejpam-5729	1	99	,	,	PUNCT
ejpam-5729	1	100	saudi	saudi	PROPN
ejpam-5729	1	101	arabia	arabia	PROPN
ejpam-5729	1	102	3	3	NUM
ejpam-5729	1	103	department	department	NOUN
ejpam-5729	1	104	of	of	ADP
ejpam-5729	1	105	mathematics	mathematics	PROPN
ejpam-5729	1	106	,	,	PUNCT
ejpam-5729	1	107	college	college	NOUN
ejpam-5729	1	108	of	of	ADP
ejpam-5729	1	109	science	science	NOUN
ejpam-5729	1	110	,	,	PUNCT
ejpam-5729	1	111	qassim	qassim	PROPN
ejpam-5729	1	112	university	university	NOUN
ejpam-5729	1	113	,	,	PUNCT
ejpam-5729	1	114	p.	p.	PROPN
ejpam-5729	1	115	o.	o.	PROPN
ejpam-5729	1	116	box	box	PROPN
ejpam-5729	1	117	6644	6644	NUM
ejpam-5729	1	118	,	,	PUNCT
ejpam-5729	1	119	buraydah	buraydah	PROPN
ejpam-5729	1	120	,	,	PUNCT
ejpam-5729	1	121	51452	51452	NUM
ejpam-5729	1	122	saudi	saudi	PROPN
ejpam-5729	1	123	arabia	arabia	PROPN
ejpam-5729	1	124	abstract	abstract	NOUN
ejpam-5729	1	125	.	.	PUNCT
ejpam-5729	2	1	in	in	ADP
ejpam-5729	2	2	this	this	DET
ejpam-5729	2	3	paper	paper	NOUN
ejpam-5729	2	4	,	,	PUNCT
ejpam-5729	2	5	we	we	PRON
ejpam-5729	2	6	investigate	investigate	VERB
ejpam-5729	2	7	the	the	DET
ejpam-5729	2	8	oscillatory	oscillatory	ADJ
ejpam-5729	2	9	properties	property	NOUN
ejpam-5729	2	10	of	of	ADP
ejpam-5729	2	11	fourth	fourth	ADJ
ejpam-5729	2	12	-	-	PUNCT
ejpam-5729	2	13	order	order	NOUN
ejpam-5729	2	14	neutral	neutral	ADJ
ejpam-5729	2	15	delay	delay	NOUN
ejpam-5729	2	16	differential	differential	ADJ
ejpam-5729	2	17	equation	equation	NOUN
ejpam-5729	2	18	solutions	solution	NOUN
ejpam-5729	2	19	in	in	ADP
ejpam-5729	2	20	the	the	DET
ejpam-5729	2	21	canonical	canonical	ADJ
ejpam-5729	2	22	situation	situation	NOUN
ejpam-5729	2	23	.	.	PUNCT
ejpam-5729	3	1	to	to	ADP
ejpam-5729	3	2	our	our	PRON
ejpam-5729	3	3	knowledge	knowledge	NOUN
ejpam-5729	3	4	,	,	PUNCT
ejpam-5729	3	5	this	this	DET
ejpam-5729	3	6	equation	equation	NOUN
ejpam-5729	3	7	has	have	AUX
ejpam-5729	3	8	received	receive	VERB
ejpam-5729	3	9	minimal	minimal	ADJ
ejpam-5729	3	10	research	research	NOUN
ejpam-5729	3	11	.	.	PUNCT
ejpam-5729	4	1	we	we	PRON
ejpam-5729	4	2	prove	prove	VERB
ejpam-5729	4	3	new	new	ADJ
ejpam-5729	4	4	improved	improved	ADJ
ejpam-5729	4	5	features	feature	NOUN
ejpam-5729	4	6	and	and	CCONJ
ejpam-5729	4	7	relationships	relationship	NOUN
ejpam-5729	4	8	for	for	ADP
ejpam-5729	4	9	the	the	DET
ejpam-5729	4	10	solution	solution	NOUN
ejpam-5729	4	11	and	and	CCONJ
ejpam-5729	4	12	the	the	DET
ejpam-5729	4	13	accompanying	accompany	VERB
ejpam-5729	4	14	function	function	NOUN
ejpam-5729	4	15	.	.	PUNCT
ejpam-5729	5	1	based	base	VERB
ejpam-5729	5	2	on	on	ADP
ejpam-5729	5	3	these	these	DET
ejpam-5729	5	4	relationships	relationship	NOUN
ejpam-5729	5	5	,	,	PUNCT
ejpam-5729	5	6	oscillation	oscillation	NOUN
ejpam-5729	5	7	theorems	theorem	NOUN
ejpam-5729	5	8	were	be	AUX
ejpam-5729	5	9	developed	develop	VERB
ejpam-5729	5	10	that	that	PRON
ejpam-5729	5	11	guarantee	guarantee	VERB
ejpam-5729	5	12	oscillation	oscillation	NOUN
ejpam-5729	5	13	of	of	ADP
ejpam-5729	5	14	all	all	DET
ejpam-5729	5	15	solutions	solution	NOUN
ejpam-5729	5	16	to	to	ADP
ejpam-5729	5	17	the	the	DET
ejpam-5729	5	18	considered	consider	VERB
ejpam-5729	5	19	equation	equation	NOUN
ejpam-5729	5	20	.	.	PUNCT
ejpam-5729	6	1	the	the	DET
ejpam-5729	6	2	comparison	comparison	NOUN
ejpam-5729	6	3	principle	principle	NOUN
ejpam-5729	6	4	used	use	VERB
ejpam-5729	6	5	in	in	ADP
ejpam-5729	6	6	our	our	PRON
ejpam-5729	6	7	results	result	NOUN
ejpam-5729	6	8	is	be	AUX
ejpam-5729	6	9	one	one	NUM
ejpam-5729	6	10	of	of	ADP
ejpam-5729	6	11	the	the	DET
ejpam-5729	6	12	most	most	ADV
ejpam-5729	6	13	significant	significant	ADJ
ejpam-5729	6	14	methods	method	NOUN
ejpam-5729	6	15	for	for	ADP
ejpam-5729	6	16	investigating	investigate	VERB
ejpam-5729	6	17	the	the	DET
ejpam-5729	6	18	oscillatory	oscillatory	ADJ
ejpam-5729	6	19	behavior	behavior	NOUN
ejpam-5729	6	20	of	of	ADP
ejpam-5729	6	21	delay	delay	NOUN
ejpam-5729	6	22	differential	differential	ADJ
ejpam-5729	6	23	equations	equation	NOUN
ejpam-5729	6	24	.	.	PUNCT
ejpam-5729	7	1	the	the	DET
ejpam-5729	7	2	findings	finding	NOUN
ejpam-5729	7	3	of	of	ADP
ejpam-5729	7	4	our	our	PRON
ejpam-5729	7	5	study	study	NOUN
ejpam-5729	7	6	extend	extend	VERB
ejpam-5729	7	7	and	and	CCONJ
ejpam-5729	7	8	develop	develop	VERB
ejpam-5729	7	9	a	a	DET
ejpam-5729	7	10	number	number	NOUN
ejpam-5729	7	11	of	of	ADP
ejpam-5729	7	12	previous	previous	ADJ
ejpam-5729	7	13	findings	finding	NOUN
ejpam-5729	7	14	in	in	ADP
ejpam-5729	7	15	the	the	DET
ejpam-5729	7	16	literature	literature	NOUN
ejpam-5729	7	17	.	.	PUNCT
ejpam-5729	8	1	2020	2020	NUM
ejpam-5729	8	2	mathematics	mathematics	PROPN
ejpam-5729	8	3	subject	subject	NOUN
ejpam-5729	8	4	classifications	classification	NOUN
ejpam-5729	8	5	:	:	PUNCT
ejpam-5729	8	6	34c10	34c10	NUM
ejpam-5729	8	7	,	,	PUNCT
ejpam-5729	8	8	34k11	34k11	NUM
ejpam-5729	8	9	key	key	ADJ
ejpam-5729	8	10	words	word	NOUN
ejpam-5729	8	11	and	and	CCONJ
ejpam-5729	8	12	phrases	phrase	NOUN
ejpam-5729	8	13	:	:	PUNCT
ejpam-5729	8	14	differential	differential	ADJ
ejpam-5729	8	15	equation	equation	NOUN
ejpam-5729	8	16	;	;	PUNCT
ejpam-5729	8	17	oscillation	oscillation	NOUN
ejpam-5729	8	18	criteria	criterion	NOUN
ejpam-5729	8	19	;	;	PUNCT
ejpam-5729	8	20	fourth	fourth	ADJ
ejpam-5729	8	21	-	-	PUNCT
ejpam-5729	8	22	order	order	NOUN
ejpam-5729	8	23	differential	differential	ADJ
ejpam-5729	8	24	equations	equation	NOUN
ejpam-5729	8	25	;	;	PUNCT
ejpam-5729	8	26	neutral	neutral	ADJ
ejpam-5729	8	27	delay	delay	NOUN
ejpam-5729	8	28	argument	argument	NOUN
ejpam-5729	8	29	1	1	NUM
ejpam-5729	8	30	.	.	PUNCT
ejpam-5729	9	1	introduction	introduction	NOUN
ejpam-5729	9	2	the	the	DET
ejpam-5729	9	3	objective	objective	NOUN
ejpam-5729	9	4	of	of	ADP
ejpam-5729	9	5	this	this	DET
ejpam-5729	9	6	paper	paper	NOUN
ejpam-5729	9	7	is	be	AUX
ejpam-5729	9	8	to	to	PART
ejpam-5729	9	9	investigate	investigate	VERB
ejpam-5729	9	10	the	the	DET
ejpam-5729	9	11	oscillation	oscillation	NOUN
ejpam-5729	9	12	of	of	ADP
ejpam-5729	9	13	the	the	DET
ejpam-5729	9	14	fourth	fourth	ADJ
ejpam-5729	9	15	-	-	PUNCT
ejpam-5729	9	16	order	order	NOUN
ejpam-5729	9	17	neutral	neutral	ADJ
ejpam-5729	9	18	delay	delay	NOUN
ejpam-5729	9	19	differential	differential	ADJ
ejpam-5729	9	20	equations	equation	NOUN
ejpam-5729	9	21	(	(	PUNCT
ejpam-5729	9	22	nddes	ndde	NOUN
ejpam-5729	9	23	)	)	PUNCT
ejpam-5729	9	24	(	(	PUNCT
ejpam-5729	9	25	a3	a3	NOUN
ejpam-5729	9	26	(	(	PUNCT
ejpam-5729	9	27	u	u	NOUN
ejpam-5729	9	28	)	)	PUNCT
ejpam-5729	9	29	(	(	PUNCT
ejpam-5729	9	30	a2	a2	PROPN
ejpam-5729	9	31	(	(	PUNCT
ejpam-5729	9	32	u	u	NOUN
ejpam-5729	9	33	)	)	PUNCT
ejpam-5729	9	34	(	(	PUNCT
ejpam-5729	9	35	a1	a1	NOUN
ejpam-5729	9	36	(	(	PUNCT
ejpam-5729	9	37	u	u	NOUN
ejpam-5729	9	38	)	)	PUNCT
ejpam-5729	9	39	ω	ω	NUM
ejpam-5729	9	40	′	′	NUM
ejpam-5729	9	41	(	(	PUNCT
ejpam-5729	9	42	u))′)′	u))′)′	ADJ
ejpam-5729	9	43	)	)	PUNCT
ejpam-5729	9	44	′	′	NUM
ejpam-5729	10	1	+	+	CCONJ
ejpam-5729	10	2	q	q	X
ejpam-5729	10	3	(	(	PUNCT
ejpam-5729	10	4	u)x	u)x	X
ejpam-5729	10	5	(	(	PUNCT
ejpam-5729	10	6	ρ	ρ	PROPN
ejpam-5729	10	7	(	(	PUNCT
ejpam-5729	10	8	u	u	NOUN
ejpam-5729	10	9	)	)	PUNCT
ejpam-5729	10	10	)	)	PUNCT
ejpam-5729	11	1	=	=	SYM
ejpam-5729	11	2	0	0	NUM
ejpam-5729	11	3	,	,	PUNCT
ejpam-5729	11	4	u	u	PRON
ejpam-5729	11	5	≥	≥	NOUN
ejpam-5729	11	6	u0	u0	ADJ
ejpam-5729	11	7	,	,	PUNCT
ejpam-5729	11	8	(	(	PUNCT
ejpam-5729	11	9	1	1	X
ejpam-5729	11	10	)	)	PUNCT
ejpam-5729	11	11	where	where	SCONJ
ejpam-5729	11	12	ω	ω	X
ejpam-5729	11	13	(	(	PUNCT
ejpam-5729	11	14	u	u	NOUN
ejpam-5729	11	15	)	)	PUNCT
ejpam-5729	11	16	=	=	SYM
ejpam-5729	11	17	x	x	SYM
ejpam-5729	11	18	(	(	PUNCT
ejpam-5729	11	19	u	u	NOUN
ejpam-5729	11	20	)	)	PUNCT
ejpam-5729	11	21	+	+	NUM
ejpam-5729	11	22	h	h	NOUN
ejpam-5729	11	23	(	(	PUNCT
ejpam-5729	11	24	u)x	u)x	X
ejpam-5729	11	25	(	(	PUNCT
ejpam-5729	11	26	κ	κ	NOUN
ejpam-5729	11	27	(	(	PUNCT
ejpam-5729	11	28	u	u	NOUN
ejpam-5729	11	29	)	)	PUNCT
ejpam-5729	11	30	)	)	PUNCT
ejpam-5729	11	31	.	.	PUNCT
ejpam-5729	12	1	based	base	VERB
ejpam-5729	12	2	on	on	ADP
ejpam-5729	12	3	the	the	DET
ejpam-5729	12	4	following	follow	VERB
ejpam-5729	12	5	:	:	PUNCT
ejpam-5729	12	6	∗corresponding	∗corresponde	VERB
ejpam-5729	12	7	author	author	NOUN
ejpam-5729	12	8	.	.	PUNCT
ejpam-5729	13	1	doi	doi	NOUN
ejpam-5729	13	2	:	:	PUNCT
ejpam-5729	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5729	https://doi.org/10.29020/nybg.ejpam.v18i1.5729	PRON
ejpam-5729	13	4	email	email	NOUN
ejpam-5729	13	5	addresses	address	NOUN
ejpam-5729	13	6	:	:	PUNCT
ejpam-5729	13	7	waed.zarebah@gmail.com	waed.zarebah@gmail.com	X
ejpam-5729	13	8	(	(	PUNCT
ejpam-5729	13	9	w.	w.	PROPN
ejpam-5729	13	10	muhsin	muhsin	PROPN
ejpam-5729	13	11	)	)	PUNCT
ejpam-5729	13	12	,	,	PUNCT
ejpam-5729	13	13	marribj@rcjy.edu.sa	marribj@rcjy.edu.sa	PROPN
ejpam-5729	13	14	(	(	PUNCT
ejpam-5729	13	15	b.	b.	PROPN
ejpam-5729	13	16	almarri	almarri	PROPN
ejpam-5729	13	17	)	)	PUNCT
ejpam-5729	13	18	,	,	PUNCT
ejpam-5729	13	19	jzmaty@qu.edu.sa	jzmaty@qu.edu.sa	PROPN
ejpam-5729	13	20	(	(	PUNCT
ejpam-5729	13	21	m.	m.	NOUN
ejpam-5729	13	22	s.	s.	PROPN
ejpam-5729	13	23	jazmati	jazmati	PROPN
ejpam-5729	13	24	)	)	PUNCT
ejpam-5729	13	25	,	,	PUNCT
ejpam-5729	13	26	o	o	NOUN
ejpam-5729	13	27	moaaz@mans.edu.eg	moaaz@mans.edu.eg	NOUN
ejpam-5729	13	28	(	(	PUNCT
ejpam-5729	13	29	o.	o.	NOUN
ejpam-5729	13	30	moaaz	moaaz	PROPN
ejpam-5729	13	31	)	)	PUNCT
ejpam-5729	13	32	,	,	PUNCT
ejpam-5729	13	33	emelabbasy@mans.edu.eg	emelabbasy@mans.edu.eg	PROPN
ejpam-5729	13	34	(	(	PUNCT
ejpam-5729	13	35	e.	e.	PROPN
ejpam-5729	13	36	m.	m.	PROPN
ejpam-5729	13	37	elabbasy	elabbasy	PROPN
ejpam-5729	13	38	)	)	PUNCT
ejpam-5729	13	39	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5729	14	1	1	1	NUM
ejpam-5729	14	2	copyright	copyright	NOUN
ejpam-5729	14	3	:	:	PUNCT
ejpam-5729	14	4	©	©	PROPN
ejpam-5729	14	5	2025	2025	NUM
ejpam-5729	14	6	the	the	DET
ejpam-5729	14	7	author(s	author(s	NOUN
ejpam-5729	14	8	)	)	PUNCT
ejpam-5729	14	9	.	.	PUNCT
ejpam-5729	15	1	(	(	PUNCT
ejpam-5729	15	2	cc	cc	NOUN
ejpam-5729	15	3	by	by	ADP
ejpam-5729	15	4	-	-	PUNCT
ejpam-5729	15	5	nc	nc	PROPN
ejpam-5729	15	6	4.0	4.0	NUM
ejpam-5729	15	7	)	)	PUNCT
ejpam-5729	15	8	w.	w.	PROPN
ejpam-5729	15	9	muhsin	muhsin	PROPN
ejpam-5729	15	10	et	et	PROPN
ejpam-5729	15	11	al	al	PROPN
ejpam-5729	15	12	.	.	PUNCT
ejpam-5729	15	13	/	/	SYM
ejpam-5729	15	14	eur	eur	PROPN
ejpam-5729	15	15	.	.	PUNCT
ejpam-5729	16	1	j.	j.	PROPN
ejpam-5729	16	2	pure	pure	PROPN
ejpam-5729	16	3	appl	appl	PROPN
ejpam-5729	16	4	.	.	PROPN
ejpam-5729	16	5	math	math	PROPN
ejpam-5729	16	6	,	,	PUNCT
ejpam-5729	16	7	18	18	NUM
ejpam-5729	16	8	(	(	PUNCT
ejpam-5729	16	9	1	1	NUM
ejpam-5729	16	10	)	)	PUNCT
ejpam-5729	16	11	(	(	PUNCT
ejpam-5729	16	12	2025	2025	NUM
ejpam-5729	16	13	)	)	PUNCT
ejpam-5729	16	14	,	,	PUNCT
ejpam-5729	16	15	5729	5729	NUM
ejpam-5729	16	16	2	2	NUM
ejpam-5729	16	17	of	of	ADP
ejpam-5729	16	18	17	17	NUM
ejpam-5729	16	19	(	(	PUNCT
ejpam-5729	16	20	a1	a1	NOUN
ejpam-5729	16	21	)	)	PUNCT
ejpam-5729	16	22	ai	ai	VERB
ejpam-5729	16	23	∈	∈	PROPN
ejpam-5729	16	24	c(4−i	c(4−i	NOUN
ejpam-5729	16	25	)	)	PUNCT
ejpam-5729	16	26	(	(	PUNCT
ejpam-5729	17	1	[	[	X
ejpam-5729	17	2	u0,∞	u0,∞	NOUN
ejpam-5729	17	3	)	)	PUNCT
ejpam-5729	17	4	,	,	PUNCT
ejpam-5729	17	5	(	(	PUNCT
ejpam-5729	17	6	0,∞	0,∞	NOUN
ejpam-5729	17	7	)	)	PUNCT
ejpam-5729	17	8	)	)	PUNCT
ejpam-5729	17	9	,	,	PUNCT
ejpam-5729	18	1	i	i	PRON
ejpam-5729	18	2	=	=	NOUN
ejpam-5729	18	3	1	1	NUM
ejpam-5729	18	4	,	,	PUNCT
ejpam-5729	18	5	2	2	NUM
ejpam-5729	18	6	,	,	PUNCT
ejpam-5729	18	7	3	3	NUM
ejpam-5729	18	8	and	and	CCONJ
ejpam-5729	18	9	satisfies	satisfy	VERB
ejpam-5729	18	10	ii	ii	PROPN
ejpam-5729	18	11	(	(	PUNCT
ejpam-5729	18	12	u	u	NOUN
ejpam-5729	18	13	)	)	PUNCT
ejpam-5729	18	14	:	:	PUNCT
ejpam-5729	19	1	=	=	SYM
ejpam-5729	19	2	∫	∫	PROPN
ejpam-5729	19	3	u	u	NOUN
ejpam-5729	19	4	u0	u0	PROPN
ejpam-5729	19	5	1	1	NUM
ejpam-5729	19	6	ai	ai	NOUN
ejpam-5729	19	7	(	(	PUNCT
ejpam-5729	19	8	ξ	ξ	NOUN
ejpam-5729	19	9	)	)	PUNCT
ejpam-5729	19	10	dξ	dξ	PROPN
ejpam-5729	19	11	→	→	SYM
ejpam-5729	19	12	∞	∞	PROPN
ejpam-5729	19	13	as	as	ADP
ejpam-5729	19	14	u	u	NOUN
ejpam-5729	19	15	→	→	SYM
ejpam-5729	19	16	∞	∞	PROPN
ejpam-5729	19	17	;	;	PUNCT
ejpam-5729	19	18	(	(	PUNCT
ejpam-5729	19	19	2	2	X
ejpam-5729	19	20	)	)	PUNCT
ejpam-5729	19	21	(	(	PUNCT
ejpam-5729	19	22	a2	a2	PROPN
ejpam-5729	19	23	)	)	PUNCT
ejpam-5729	19	24	κ	κ	PROPN
ejpam-5729	19	25	,	,	PUNCT
ejpam-5729	19	26	ρ	ρ	PROPN
ejpam-5729	19	27	∈	∈	PROPN
ejpam-5729	19	28	c	c	X
ejpam-5729	19	29	(	(	PUNCT
ejpam-5729	19	30	[	[	X
ejpam-5729	19	31	u0,∞	u0,∞	NOUN
ejpam-5729	19	32	)	)	PUNCT
ejpam-5729	19	33	,	,	PUNCT
ejpam-5729	19	34	(	(	PUNCT
ejpam-5729	19	35	0,∞	0,∞	NOUN
ejpam-5729	19	36	)	)	PUNCT
ejpam-5729	19	37	)	)	PUNCT
ejpam-5729	19	38	satisfy	satisfy	VERB
ejpam-5729	19	39	κ	κ	PROPN
ejpam-5729	19	40	(	(	PUNCT
ejpam-5729	19	41	u	u	NOUN
ejpam-5729	19	42	)	)	PUNCT
ejpam-5729	19	43	<	<	X
ejpam-5729	19	44	u	u	PROPN
ejpam-5729	19	45	,	,	PUNCT
ejpam-5729	19	46	ρ	ρ	PROPN
ejpam-5729	19	47	(	(	PUNCT
ejpam-5729	19	48	u	u	NOUN
ejpam-5729	19	49	)	)	PUNCT
ejpam-5729	19	50	<	<	X
ejpam-5729	19	51	u	u	PROPN
ejpam-5729	19	52	,	,	PUNCT
ejpam-5729	19	53	ρ′	ρ′	PUNCT
ejpam-5729	19	54	(	(	PUNCT
ejpam-5729	19	55	u	u	NOUN
ejpam-5729	19	56	)	)	PUNCT
ejpam-5729	19	57	>	>	X
ejpam-5729	19	58	0	0	NUM
ejpam-5729	19	59	,	,	PUNCT
ejpam-5729	19	60	limu→∞	limu→∞	ADP
ejpam-5729	19	61	κ	κ	NOUN
ejpam-5729	19	62	(	(	PUNCT
ejpam-5729	19	63	u	u	NOUN
ejpam-5729	19	64	)	)	PUNCT
ejpam-5729	19	65	=	=	SYM
ejpam-5729	19	66	∞	∞	NUM
ejpam-5729	19	67	and	and	CCONJ
ejpam-5729	19	68	limu→∞	limu→∞	PROPN
ejpam-5729	19	69	ρ	ρ	NOUN
ejpam-5729	19	70	(	(	PUNCT
ejpam-5729	19	71	u	u	NOUN
ejpam-5729	19	72	)	)	PUNCT
ejpam-5729	19	73	=	=	SYM
ejpam-5729	19	74	∞	∞	PROPN
ejpam-5729	19	75	;	;	PUNCT
ejpam-5729	19	76	(	(	PUNCT
ejpam-5729	19	77	a3	a3	NOUN
ejpam-5729	19	78	)	)	PUNCT
ejpam-5729	19	79	h	h	NOUN
ejpam-5729	19	80	,	,	PUNCT
ejpam-5729	19	81	q	q	PROPN
ejpam-5729	19	82	∈	∈	PROPN
ejpam-5729	19	83	c	c	X
ejpam-5729	19	84	(	(	PUNCT
ejpam-5729	19	85	[	[	X
ejpam-5729	19	86	u0,∞	u0,∞	NOUN
ejpam-5729	19	87	)	)	PUNCT
ejpam-5729	19	88	,	,	PUNCT
ejpam-5729	19	89	(	(	PUNCT
ejpam-5729	19	90	0,∞	0,∞	NOUN
ejpam-5729	19	91	)	)	PUNCT
ejpam-5729	19	92	)	)	PUNCT
ejpam-5729	19	93	.	.	PUNCT
ejpam-5729	20	1	a	a	DET
ejpam-5729	20	2	studied	study	VERB
ejpam-5729	20	3	solution	solution	NOUN
ejpam-5729	20	4	to	to	ADP
ejpam-5729	20	5	(	(	PUNCT
ejpam-5729	20	6	1	1	X
ejpam-5729	20	7	)	)	PUNCT
ejpam-5729	20	8	is	be	AUX
ejpam-5729	20	9	defined	define	VERB
ejpam-5729	20	10	as	as	ADP
ejpam-5729	20	11	a	a	DET
ejpam-5729	20	12	real	real	ADV
ejpam-5729	20	13	-	-	PUNCT
ejpam-5729	20	14	valued	value	VERB
ejpam-5729	20	15	function	function	NOUN
ejpam-5729	20	16	x	x	PUNCT
ejpam-5729	20	17	that	that	PRON
ejpam-5729	20	18	is	be	AUX
ejpam-5729	20	19	four	four	NUM
ejpam-5729	20	20	times	time	NOUN
ejpam-5729	20	21	differentiable	differentiable	ADJ
ejpam-5729	20	22	,	,	PUNCT
ejpam-5729	20	23	that	that	PRON
ejpam-5729	20	24	has	have	VERB
ejpam-5729	20	25	the	the	DET
ejpam-5729	20	26	property	property	NOUN
ejpam-5729	20	27	a3	a3	NOUN
ejpam-5729	20	28	(	(	PUNCT
ejpam-5729	20	29	u	u	NOUN
ejpam-5729	20	30	)	)	PUNCT
ejpam-5729	20	31	(	(	PUNCT
ejpam-5729	20	32	a2	a2	PROPN
ejpam-5729	20	33	(	(	PUNCT
ejpam-5729	20	34	u	u	NOUN
ejpam-5729	20	35	)	)	PUNCT
ejpam-5729	20	36	(	(	PUNCT
ejpam-5729	20	37	a1	a1	NOUN
ejpam-5729	20	38	(	(	PUNCT
ejpam-5729	20	39	u	u	NOUN
ejpam-5729	20	40	)	)	PUNCT
ejpam-5729	20	41	ω	ω	NUM
ejpam-5729	20	42	′	′	NUM
ejpam-5729	20	43	(	(	PUNCT
ejpam-5729	20	44	u))′)′	u))′)′	PROPN
ejpam-5729	20	45	∈	∈	PROPN
ejpam-5729	20	46	c1	c1	NOUN
ejpam-5729	20	47	(	(	PUNCT
ejpam-5729	20	48	[	[	X
ejpam-5729	20	49	u0,∞	u0,∞	NOUN
ejpam-5729	20	50	)	)	PUNCT
ejpam-5729	20	51	,	,	PUNCT
ejpam-5729	20	52	(	(	PUNCT
ejpam-5729	20	53	0,∞	0,∞	NOUN
ejpam-5729	20	54	)	)	PUNCT
ejpam-5729	20	55	)	)	PUNCT
ejpam-5729	20	56	and	and	CCONJ
ejpam-5729	20	57	fulfills	fulfill	VERB
ejpam-5729	20	58	(	(	PUNCT
ejpam-5729	20	59	1	1	NUM
ejpam-5729	20	60	)	)	PUNCT
ejpam-5729	20	61	for	for	ADP
ejpam-5729	20	62	any	any	DET
ejpam-5729	20	63	suitably	suitably	ADV
ejpam-5729	20	64	large	large	ADJ
ejpam-5729	20	65	u	u	NOUN
ejpam-5729	20	66	on	on	ADP
ejpam-5729	20	67	[	[	X
ejpam-5729	20	68	u0,∞	u0,∞	NOUN
ejpam-5729	20	69	)	)	PUNCT
ejpam-5729	20	70	.	.	PUNCT
ejpam-5729	21	1	we	we	PRON
ejpam-5729	21	2	concentrate	concentrate	VERB
ejpam-5729	21	3	only	only	ADV
ejpam-5729	21	4	on	on	ADP
ejpam-5729	21	5	those	those	DET
ejpam-5729	21	6	solutions	solution	NOUN
ejpam-5729	21	7	of	of	ADP
ejpam-5729	21	8	(	(	PUNCT
ejpam-5729	21	9	1	1	X
ejpam-5729	21	10	)	)	PUNCT
ejpam-5729	21	11	that	that	PRON
ejpam-5729	21	12	satisfy	satisfy	VERB
ejpam-5729	21	13	sup{|x	sup{|x	PROPN
ejpam-5729	21	14	(	(	PUNCT
ejpam-5729	21	15	u	u	NOUN
ejpam-5729	21	16	)	)	PUNCT
ejpam-5729	21	17	|	|	ADV
ejpam-5729	21	18	:	:	PUNCT
ejpam-5729	21	19	u	u	NOUN
ejpam-5729	21	20	≥	≥	NOUN
ejpam-5729	21	21	u	u	PROPN
ejpam-5729	21	22	}	}	PUNCT
ejpam-5729	21	23	>	>	X
ejpam-5729	21	24	0	0	NUM
ejpam-5729	21	25	,	,	PUNCT
ejpam-5729	21	26	for	for	ADP
ejpam-5729	21	27	all	all	DET
ejpam-5729	21	28	u	u	PROPN
ejpam-5729	21	29	≥	≥	X
ejpam-5729	21	30	u0	u0	ADJ
ejpam-5729	21	31	,	,	PUNCT
ejpam-5729	21	32	i.e.	i.e.	X
ejpam-5729	21	33	,	,	PUNCT
ejpam-5729	21	34	it	it	PRON
ejpam-5729	21	35	is	be	AUX
ejpam-5729	21	36	a	a	DET
ejpam-5729	21	37	nontrivial	nontrivial	ADJ
ejpam-5729	21	38	solution	solution	NOUN
ejpam-5729	21	39	.	.	PUNCT
ejpam-5729	22	1	a	a	DET
ejpam-5729	22	2	solution	solution	NOUN
ejpam-5729	22	3	x	x	PUNCT
ejpam-5729	22	4	to	to	ADP
ejpam-5729	22	5	(	(	PUNCT
ejpam-5729	22	6	1	1	X
ejpam-5729	22	7	)	)	PUNCT
ejpam-5729	22	8	is	be	AUX
ejpam-5729	22	9	said	say	VERB
ejpam-5729	22	10	to	to	PART
ejpam-5729	22	11	be	be	AUX
ejpam-5729	22	12	oscillating	oscillate	VERB
ejpam-5729	22	13	or	or	CCONJ
ejpam-5729	22	14	non	non	ADJ
ejpam-5729	22	15	-	-	ADJ
ejpam-5729	22	16	oscillating	oscillating	ADJ
ejpam-5729	22	17	based	base	VERB
ejpam-5729	22	18	on	on	ADP
ejpam-5729	22	19	whether	whether	SCONJ
ejpam-5729	22	20	it	it	PRON
ejpam-5729	22	21	is	be	AUX
ejpam-5729	22	22	positive	positive	ADJ
ejpam-5729	22	23	,	,	PUNCT
ejpam-5729	22	24	negative	negative	ADJ
ejpam-5729	22	25	,	,	PUNCT
ejpam-5729	22	26	or	or	CCONJ
ejpam-5729	22	27	neither	neither	CCONJ
ejpam-5729	22	28	positive	positive	ADJ
ejpam-5729	22	29	nor	nor	CCONJ
ejpam-5729	22	30	negative	negative	ADJ
ejpam-5729	22	31	eventually	eventually	ADV
ejpam-5729	22	32	in	in	ADP
ejpam-5729	22	33	the	the	DET
ejpam-5729	22	34	first	first	ADJ
ejpam-5729	22	35	place	place	NOUN
ejpam-5729	22	36	.	.	PUNCT
ejpam-5729	23	1	that	that	PRON
ejpam-5729	23	2	is	be	AUX
ejpam-5729	23	3	,	,	PUNCT
ejpam-5729	23	4	what	what	PRON
ejpam-5729	23	5	interests	interest	VERB
ejpam-5729	23	6	us	we	PRON
ejpam-5729	23	7	is	be	AUX
ejpam-5729	23	8	the	the	DET
ejpam-5729	23	9	behavior	behavior	NOUN
ejpam-5729	23	10	of	of	ADP
ejpam-5729	23	11	the	the	DET
ejpam-5729	23	12	solution	solution	NOUN
ejpam-5729	23	13	in	in	ADP
ejpam-5729	23	14	the	the	DET
ejpam-5729	23	15	neighborhood	neighborhood	NOUN
ejpam-5729	23	16	of	of	ADP
ejpam-5729	23	17	the	the	DET
ejpam-5729	23	18	infinite	infinite	ADJ
ejpam-5729	23	19	points	point	NOUN
ejpam-5729	23	20	.	.	PUNCT
ejpam-5729	24	1	if	if	SCONJ
ejpam-5729	24	2	all	all	DET
ejpam-5729	24	3	solutions	solution	NOUN
ejpam-5729	24	4	of	of	ADP
ejpam-5729	24	5	the	the	DET
ejpam-5729	24	6	equation	equation	NOUN
ejpam-5729	24	7	oscillate	oscillate	NOUN
ejpam-5729	24	8	(	(	PUNCT
ejpam-5729	24	9	if	if	SCONJ
ejpam-5729	24	10	it	it	PRON
ejpam-5729	24	11	has	have	VERB
ejpam-5729	24	12	arbitrarily	arbitrarily	ADV
ejpam-5729	24	13	large	large	ADJ
ejpam-5729	24	14	zeros	zero	NOUN
ejpam-5729	24	15	)	)	PUNCT
ejpam-5729	24	16	,	,	PUNCT
ejpam-5729	24	17	then	then	ADV
ejpam-5729	24	18	the	the	DET
ejpam-5729	24	19	equation	equation	NOUN
ejpam-5729	24	20	is	be	AUX
ejpam-5729	24	21	oscillatory	oscillatory	ADJ
ejpam-5729	24	22	;	;	PUNCT
ejpam-5729	24	23	otherwise	otherwise	ADV
ejpam-5729	24	24	,	,	PUNCT
ejpam-5729	24	25	it	it	PRON
ejpam-5729	24	26	is	be	AUX
ejpam-5729	24	27	said	say	VERB
ejpam-5729	24	28	to	to	PART
ejpam-5729	24	29	be	be	AUX
ejpam-5729	24	30	non	non	ADJ
ejpam-5729	24	31	-	-	ADJ
ejpam-5729	24	32	oscillatory	oscillatory	ADJ
ejpam-5729	24	33	[	[	X
ejpam-5729	24	34	4	4	NUM
ejpam-5729	24	35	]	]	PUNCT
ejpam-5729	24	36	.	.	PUNCT
ejpam-5729	25	1	understanding	understanding	NOUN
ejpam-5729	25	2	,	,	PUNCT
ejpam-5729	25	3	studying	study	VERB
ejpam-5729	25	4	,	,	PUNCT
ejpam-5729	25	5	and	and	CCONJ
ejpam-5729	25	6	then	then	ADV
ejpam-5729	25	7	analyzing	analyze	VERB
ejpam-5729	25	8	functional	functional	ADJ
ejpam-5729	25	9	differential	differential	ADJ
ejpam-5729	25	10	equations	equation	NOUN
ejpam-5729	25	11	is	be	AUX
ejpam-5729	25	12	the	the	DET
ejpam-5729	25	13	basis	basis	NOUN
ejpam-5729	25	14	of	of	ADP
ejpam-5729	25	15	many	many	ADJ
ejpam-5729	25	16	diverse	diverse	ADJ
ejpam-5729	25	17	disciplines	discipline	NOUN
ejpam-5729	25	18	in	in	ADP
ejpam-5729	25	19	mathematics	mathematic	NOUN
ejpam-5729	25	20	(	(	PUNCT
ejpam-5729	25	21	both	both	CCONJ
ejpam-5729	25	22	pure	pure	ADJ
ejpam-5729	25	23	and	and	CCONJ
ejpam-5729	25	24	applied	apply	VERB
ejpam-5729	25	25	)	)	PUNCT
ejpam-5729	25	26	,	,	PUNCT
ejpam-5729	25	27	engineering	engineering	NOUN
ejpam-5729	25	28	,	,	PUNCT
ejpam-5729	25	29	and	and	CCONJ
ejpam-5729	25	30	physics	physics	NOUN
ejpam-5729	25	31	,	,	PUNCT
ejpam-5729	25	32	all	all	PRON
ejpam-5729	25	33	of	of	ADP
ejpam-5729	25	34	which	which	PRON
ejpam-5729	25	35	focus	focus	VERB
ejpam-5729	25	36	on	on	ADP
ejpam-5729	25	37	the	the	DET
ejpam-5729	25	38	properties	property	NOUN
ejpam-5729	25	39	of	of	ADP
ejpam-5729	25	40	differential	differential	ADJ
ejpam-5729	25	41	equations	equation	NOUN
ejpam-5729	25	42	(	(	PUNCT
ejpam-5729	25	43	des	des	PROPN
ejpam-5729	25	44	)	)	PUNCT
ejpam-5729	25	45	in	in	ADP
ejpam-5729	25	46	their	their	PRON
ejpam-5729	25	47	various	various	ADJ
ejpam-5729	25	48	forms	form	NOUN
ejpam-5729	25	49	.	.	PUNCT
ejpam-5729	26	1	as	as	SCONJ
ejpam-5729	26	2	we	we	PRON
ejpam-5729	26	3	know	know	VERB
ejpam-5729	26	4	,	,	PUNCT
ejpam-5729	26	5	many	many	ADJ
ejpam-5729	26	6	technological	technological	ADJ
ejpam-5729	26	7	,	,	PUNCT
ejpam-5729	26	8	physical	physical	ADJ
ejpam-5729	26	9	,	,	PUNCT
ejpam-5729	26	10	or	or	CCONJ
ejpam-5729	26	11	biological	biological	ADJ
ejpam-5729	26	12	processes	process	NOUN
ejpam-5729	26	13	are	be	AUX
ejpam-5729	26	14	modeled	model	VERB
ejpam-5729	26	15	using	use	VERB
ejpam-5729	26	16	dynamic	dynamic	ADJ
ejpam-5729	26	17	differentials	differential	NOUN
ejpam-5729	26	18	.	.	PUNCT
ejpam-5729	27	1	the	the	DET
ejpam-5729	27	2	existence	existence	NOUN
ejpam-5729	27	3	and	and	CCONJ
ejpam-5729	27	4	uniqueness	uniqueness	NOUN
ejpam-5729	27	5	of	of	ADP
ejpam-5729	27	6	solutions	solution	NOUN
ejpam-5729	27	7	of	of	ADP
ejpam-5729	27	8	these	these	DET
ejpam-5729	27	9	equations	equation	NOUN
ejpam-5729	27	10	is	be	AUX
ejpam-5729	27	11	a	a	DET
ejpam-5729	27	12	key	key	ADJ
ejpam-5729	27	13	focus	focus	NOUN
ejpam-5729	27	14	when	when	SCONJ
ejpam-5729	27	15	studying	study	VERB
ejpam-5729	27	16	the	the	DET
ejpam-5729	27	17	differential	differential	ADJ
ejpam-5729	27	18	equations	equation	NOUN
ejpam-5729	27	19	of	of	ADP
ejpam-5729	27	20	these	these	DET
ejpam-5729	27	21	models	model	NOUN
ejpam-5729	27	22	,	,	PUNCT
ejpam-5729	27	23	as	as	SCONJ
ejpam-5729	27	24	a	a	DET
ejpam-5729	27	25	closed	closed	ADJ
ejpam-5729	27	26	-	-	PUNCT
ejpam-5729	27	27	form	form	NOUN
ejpam-5729	27	28	solution	solution	NOUN
ejpam-5729	27	29	may	may	AUX
ejpam-5729	27	30	not	not	PART
ejpam-5729	27	31	be	be	AUX
ejpam-5729	27	32	found	find	VERB
ejpam-5729	27	33	for	for	ADP
ejpam-5729	27	34	nonlinear	nonlinear	ADJ
ejpam-5729	27	35	dynamic	dynamic	ADJ
ejpam-5729	27	36	differentials	differential	NOUN
ejpam-5729	27	37	obtained	obtain	VERB
ejpam-5729	27	38	when	when	SCONJ
ejpam-5729	27	39	modeling	model	VERB
ejpam-5729	27	40	many	many	ADJ
ejpam-5729	27	41	phenomena	phenomenon	NOUN
ejpam-5729	27	42	.	.	PUNCT
ejpam-5729	28	1	numerical	numerical	ADJ
ejpam-5729	28	2	techniques	technique	NOUN
ejpam-5729	28	3	can	can	AUX
ejpam-5729	28	4	be	be	AUX
ejpam-5729	28	5	used	use	VERB
ejpam-5729	28	6	as	as	ADP
ejpam-5729	28	7	an	an	DET
ejpam-5729	28	8	alternative	alternative	ADJ
ejpam-5729	28	9	method	method	NOUN
ejpam-5729	28	10	to	to	PART
ejpam-5729	28	11	approximate	approximate	VERB
ejpam-5729	28	12	the	the	DET
ejpam-5729	28	13	results	result	NOUN
ejpam-5729	28	14	[	[	X
ejpam-5729	28	15	12	12	NUM
ejpam-5729	28	16	]	]	PUNCT
ejpam-5729	28	17	.	.	PUNCT
ejpam-5729	29	1	due	due	ADP
ejpam-5729	29	2	to	to	ADP
ejpam-5729	29	3	the	the	DET
ejpam-5729	29	4	difficulty	difficulty	NOUN
ejpam-5729	29	5	of	of	ADP
ejpam-5729	29	6	finding	find	VERB
ejpam-5729	29	7	these	these	DET
ejpam-5729	29	8	solutions	solution	NOUN
ejpam-5729	29	9	,	,	PUNCT
ejpam-5729	29	10	researchers	researcher	NOUN
ejpam-5729	29	11	have	have	AUX
ejpam-5729	29	12	focused	focus	VERB
ejpam-5729	29	13	on	on	ADP
ejpam-5729	29	14	knowing	know	VERB
ejpam-5729	29	15	the	the	DET
ejpam-5729	29	16	properties	property	NOUN
ejpam-5729	29	17	of	of	ADP
ejpam-5729	29	18	these	these	DET
ejpam-5729	29	19	solutions	solution	NOUN
ejpam-5729	29	20	under	under	ADP
ejpam-5729	29	21	the	the	DET
ejpam-5729	29	22	name	name	NOUN
ejpam-5729	29	23	of	of	ADP
ejpam-5729	29	24	qualitative	qualitative	ADJ
ejpam-5729	29	25	theory	theory	NOUN
ejpam-5729	29	26	of	of	ADP
ejpam-5729	29	27	equations	equation	NOUN
ejpam-5729	29	28	,	,	PUNCT
ejpam-5729	29	29	of	of	ADP
ejpam-5729	29	30	which	which	PRON
ejpam-5729	29	31	oscillation	oscillation	NOUN
ejpam-5729	29	32	theory	theory	NOUN
ejpam-5729	29	33	is	be	AUX
ejpam-5729	29	34	one	one	NUM
ejpam-5729	29	35	of	of	ADP
ejpam-5729	29	36	its	its	PRON
ejpam-5729	29	37	main	main	ADJ
ejpam-5729	29	38	subfields	subfield	NOUN
ejpam-5729	29	39	.	.	PUNCT
ejpam-5729	30	1	asymptotic	asymptotic	ADJ
ejpam-5729	30	2	and	and	CCONJ
ejpam-5729	30	3	oscillatory	oscillatory	ADJ
ejpam-5729	30	4	characteristics	characteristic	NOUN
ejpam-5729	30	5	of	of	ADP
ejpam-5729	30	6	solutions	solution	NOUN
ejpam-5729	30	7	are	be	AUX
ejpam-5729	30	8	the	the	DET
ejpam-5729	30	9	focus	focus	NOUN
ejpam-5729	30	10	of	of	ADP
ejpam-5729	30	11	this	this	DET
ejpam-5729	30	12	theory	theory	NOUN
ejpam-5729	30	13	;	;	PUNCT
ejpam-5729	30	14	see	see	VERB
ejpam-5729	30	15	[	[	X
ejpam-5729	30	16	27	27	NUM
ejpam-5729	30	17	]	]	PUNCT
ejpam-5729	30	18	.	.	PUNCT
ejpam-5729	31	1	fite	fite	PROPN
ejpam-5729	31	2	produced	produce	VERB
ejpam-5729	31	3	an	an	DET
ejpam-5729	31	4	essay	essay	NOUN
ejpam-5729	31	5	[	[	X
ejpam-5729	31	6	16	16	NUM
ejpam-5729	31	7	]	]	PUNCT
ejpam-5729	31	8	on	on	ADP
ejpam-5729	31	9	differential	differential	ADJ
ejpam-5729	31	10	equation	equation	NOUN
ejpam-5729	31	11	oscillation	oscillation	NOUN
ejpam-5729	31	12	theory	theory	NOUN
ejpam-5729	31	13	,	,	PUNCT
ejpam-5729	31	14	written	write	VERB
ejpam-5729	31	15	in	in	ADP
ejpam-5729	31	16	the	the	DET
ejpam-5729	31	17	early	early	ADJ
ejpam-5729	31	18	20th	20th	ADJ
ejpam-5729	31	19	century	century	NOUN
ejpam-5729	31	20	.	.	PUNCT
ejpam-5729	32	1	many	many	ADJ
ejpam-5729	32	2	inquiries	inquiry	NOUN
ejpam-5729	32	3	into	into	ADP
ejpam-5729	32	4	the	the	DET
ejpam-5729	32	5	oscillation	oscillation	NOUN
ejpam-5729	32	6	theory	theory	NOUN
ejpam-5729	32	7	of	of	ADP
ejpam-5729	32	8	delay	delay	NOUN
ejpam-5729	32	9	differential	differential	ADJ
ejpam-5729	32	10	equations	equation	NOUN
ejpam-5729	32	11	began	begin	VERB
ejpam-5729	32	12	with	with	ADP
ejpam-5729	32	13	his	his	PRON
ejpam-5729	32	14	publication	publication	NOUN
ejpam-5729	32	15	.	.	PUNCT
ejpam-5729	33	1	delay	delay	NOUN
ejpam-5729	33	2	and	and	CCONJ
ejpam-5729	33	3	neutral	neutral	ADJ
ejpam-5729	33	4	delay	delay	NOUN
ejpam-5729	33	5	differential	differential	NOUN
ejpam-5729	33	6	equations	equation	NOUN
ejpam-5729	33	7	have	have	VERB
ejpam-5729	33	8	a	a	DET
ejpam-5729	33	9	very	very	ADV
ejpam-5729	33	10	diverse	diverse	ADJ
ejpam-5729	33	11	history	history	NOUN
ejpam-5729	33	12	and	and	CCONJ
ejpam-5729	33	13	are	be	AUX
ejpam-5729	33	14	used	use	VERB
ejpam-5729	33	15	in	in	ADP
ejpam-5729	33	16	many	many	ADJ
ejpam-5729	33	17	applications	application	NOUN
ejpam-5729	33	18	in	in	ADP
ejpam-5729	33	19	the	the	DET
ejpam-5729	33	20	natural	natural	ADJ
ejpam-5729	33	21	sciences	science	NOUN
ejpam-5729	33	22	and	and	CCONJ
ejpam-5729	33	23	engineering	engineering	NOUN
ejpam-5729	33	24	;	;	PUNCT
ejpam-5729	33	25	for	for	ADP
ejpam-5729	33	26	further	further	ADJ
ejpam-5729	33	27	details	detail	NOUN
ejpam-5729	33	28	,	,	PUNCT
ejpam-5729	33	29	see	see	VERB
ejpam-5729	33	30	hale	hale	PROPN
ejpam-5729	33	31	[	[	X
ejpam-5729	33	32	18	18	NUM
ejpam-5729	33	33	]	]	PUNCT
ejpam-5729	33	34	.	.	PUNCT
ejpam-5729	34	1	in	in	ADP
ejpam-5729	34	2	a	a	DET
ejpam-5729	34	3	differential	differential	ADJ
ejpam-5729	34	4	equation	equation	NOUN
ejpam-5729	34	5	,	,	PUNCT
ejpam-5729	34	6	when	when	SCONJ
ejpam-5729	34	7	the	the	DET
ejpam-5729	34	8	highest	high	ADJ
ejpam-5729	34	9	order	order	NOUN
ejpam-5729	34	10	derivative	derivative	NOUN
ejpam-5729	34	11	of	of	ADP
ejpam-5729	34	12	the	the	DET
ejpam-5729	34	13	function	function	NOUN
ejpam-5729	34	14	,	,	PUNCT
ejpam-5729	34	15	whether	whether	SCONJ
ejpam-5729	34	16	known	know	VERB
ejpam-5729	34	17	or	or	CCONJ
ejpam-5729	34	18	unknown	unknown	ADJ
ejpam-5729	34	19	,	,	PUNCT
ejpam-5729	34	20	is	be	AUX
ejpam-5729	34	21	present	present	ADJ
ejpam-5729	34	22	in	in	ADP
ejpam-5729	34	23	both	both	CCONJ
ejpam-5729	34	24	the	the	DET
ejpam-5729	34	25	delay	delay	NOUN
ejpam-5729	34	26	-	-	PUNCT
ejpam-5729	34	27	containing	contain	VERB
ejpam-5729	34	28	and	and	CCONJ
ejpam-5729	34	29	delay	delay	NOUN
ejpam-5729	34	30	-	-	PUNCT
ejpam-5729	34	31	free	free	ADJ
ejpam-5729	34	32	portions	portion	NOUN
ejpam-5729	34	33	of	of	ADP
ejpam-5729	34	34	this	this	DET
ejpam-5729	34	35	differential	differential	ADJ
ejpam-5729	34	36	equation	equation	NOUN
ejpam-5729	34	37	,	,	PUNCT
ejpam-5729	34	38	the	the	DET
ejpam-5729	34	39	equation	equation	NOUN
ejpam-5729	34	40	is	be	AUX
ejpam-5729	34	41	said	say	VERB
ejpam-5729	34	42	to	to	PART
ejpam-5729	34	43	include	include	VERB
ejpam-5729	34	44	a	a	DET
ejpam-5729	34	45	neutral	neutral	ADJ
ejpam-5729	34	46	delay	delay	NOUN
ejpam-5729	34	47	(	(	PUNCT
ejpam-5729	34	48	nd	nd	NOUN
ejpam-5729	34	49	)	)	PUNCT
ejpam-5729	34	50	.	.	PUNCT
ejpam-5729	35	1	neutral	neutral	ADJ
ejpam-5729	35	2	delay	delay	NOUN
ejpam-5729	35	3	differential	differential	ADJ
ejpam-5729	35	4	equations	equation	NOUN
ejpam-5729	35	5	(	(	PUNCT
ejpam-5729	35	6	nddes	ndde	NOUN
ejpam-5729	35	7	)	)	PUNCT
ejpam-5729	35	8	are	be	AUX
ejpam-5729	35	9	equations	equation	NOUN
ejpam-5729	35	10	that	that	PRON
ejpam-5729	35	11	depend	depend	VERB
ejpam-5729	35	12	on	on	ADP
ejpam-5729	35	13	the	the	DET
ejpam-5729	35	14	present	present	ADJ
ejpam-5729	35	15	and	and	CCONJ
ejpam-5729	35	16	delayed	delay	VERB
ejpam-5729	35	17	values	value	NOUN
ejpam-5729	35	18	of	of	ADP
ejpam-5729	35	19	a	a	DET
ejpam-5729	35	20	function	function	NOUN
ejpam-5729	35	21	and	and	CCONJ
ejpam-5729	35	22	its	its	PRON
ejpam-5729	35	23	derivatives	derivative	NOUN
ejpam-5729	35	24	and	and	CCONJ
ejpam-5729	35	25	are	be	AUX
ejpam-5729	35	26	of	of	ADP
ejpam-5729	35	27	significant	significant	ADJ
ejpam-5729	35	28	importance	importance	NOUN
ejpam-5729	35	29	due	due	ADP
ejpam-5729	35	30	to	to	ADP
ejpam-5729	35	31	w.	w.	PROPN
ejpam-5729	35	32	muhsin	muhsin	PROPN
ejpam-5729	35	33	et	et	PROPN
ejpam-5729	35	34	al	al	PROPN
ejpam-5729	35	35	.	.	PUNCT
ejpam-5729	35	36	/	/	SYM
ejpam-5729	35	37	eur	eur	PROPN
ejpam-5729	35	38	.	.	PUNCT
ejpam-5729	36	1	j.	j.	PROPN
ejpam-5729	36	2	pure	pure	PROPN
ejpam-5729	36	3	appl	appl	PROPN
ejpam-5729	36	4	.	.	PROPN
ejpam-5729	36	5	math	math	PROPN
ejpam-5729	36	6	,	,	PUNCT
ejpam-5729	36	7	18	18	NUM
ejpam-5729	36	8	(	(	PUNCT
ejpam-5729	36	9	1	1	NUM
ejpam-5729	36	10	)	)	PUNCT
ejpam-5729	36	11	(	(	PUNCT
ejpam-5729	36	12	2025	2025	NUM
ejpam-5729	36	13	)	)	PUNCT
ejpam-5729	36	14	,	,	PUNCT
ejpam-5729	36	15	5729	5729	NUM
ejpam-5729	36	16	3	3	NUM
ejpam-5729	36	17	of	of	ADP
ejpam-5729	36	18	17	17	NUM
ejpam-5729	36	19	their	their	PRON
ejpam-5729	36	20	widespread	widespread	ADJ
ejpam-5729	36	21	applications	application	NOUN
ejpam-5729	36	22	in	in	ADP
ejpam-5729	36	23	various	various	ADJ
ejpam-5729	36	24	fields	field	NOUN
ejpam-5729	36	25	,	,	PUNCT
ejpam-5729	36	26	including	include	VERB
ejpam-5729	36	27	engineering	engineering	NOUN
ejpam-5729	36	28	,	,	PUNCT
ejpam-5729	36	29	physics	physics	NOUN
ejpam-5729	36	30	,	,	PUNCT
ejpam-5729	36	31	and	and	CCONJ
ejpam-5729	36	32	biology	biology	NOUN
ejpam-5729	36	33	.	.	PUNCT
ejpam-5729	37	1	they	they	PRON
ejpam-5729	37	2	are	be	AUX
ejpam-5729	37	3	complex	complex	ADJ
ejpam-5729	37	4	because	because	SCONJ
ejpam-5729	37	5	they	they	PRON
ejpam-5729	37	6	include	include	VERB
ejpam-5729	37	7	delays	delay	NOUN
ejpam-5729	37	8	in	in	ADP
ejpam-5729	37	9	the	the	DET
ejpam-5729	37	10	derivatives	derivative	NOUN
ejpam-5729	37	11	and	and	CCONJ
ejpam-5729	37	12	are	be	AUX
ejpam-5729	37	13	fundamental	fundamental	ADJ
ejpam-5729	37	14	to	to	ADP
ejpam-5729	37	15	the	the	DET
ejpam-5729	37	16	study	study	NOUN
ejpam-5729	37	17	of	of	ADP
ejpam-5729	37	18	dynamical	dynamical	ADJ
ejpam-5729	37	19	systems	system	NOUN
ejpam-5729	37	20	that	that	PRON
ejpam-5729	37	21	contain	contain	VERB
ejpam-5729	37	22	time	time	NOUN
ejpam-5729	37	23	delays	delay	NOUN
ejpam-5729	37	24	.	.	PUNCT
ejpam-5729	38	1	unlike	unlike	ADP
ejpam-5729	38	2	ordinary	ordinary	ADJ
ejpam-5729	38	3	delay	delay	NOUN
ejpam-5729	38	4	differential	differential	NOUN
ejpam-5729	38	5	equations	equation	NOUN
ejpam-5729	38	6	(	(	PUNCT
ejpam-5729	38	7	oddes	odde	NOUN
ejpam-5729	38	8	)	)	PUNCT
ejpam-5729	38	9	.	.	PUNCT
ejpam-5729	39	1	neutral	neutral	ADJ
ejpam-5729	39	2	differential	differential	NOUN
ejpam-5729	39	3	equations	equation	NOUN
ejpam-5729	39	4	are	be	AUX
ejpam-5729	39	5	characterized	characterize	VERB
ejpam-5729	39	6	by	by	ADP
ejpam-5729	39	7	the	the	DET
ejpam-5729	39	8	presence	presence	NOUN
ejpam-5729	39	9	of	of	ADP
ejpam-5729	39	10	both	both	CCONJ
ejpam-5729	39	11	the	the	DET
ejpam-5729	39	12	derivative	derivative	NOUN
ejpam-5729	39	13	of	of	ADP
ejpam-5729	39	14	the	the	DET
ejpam-5729	39	15	dependent	dependent	ADJ
ejpam-5729	39	16	variable	variable	NOUN
ejpam-5729	39	17	and	and	CCONJ
ejpam-5729	39	18	its	its	PRON
ejpam-5729	39	19	delayed	delay	VERB
ejpam-5729	39	20	term	term	NOUN
ejpam-5729	39	21	in	in	ADP
ejpam-5729	39	22	the	the	DET
ejpam-5729	39	23	highest	high	ADJ
ejpam-5729	39	24	derivative	derivative	NOUN
ejpam-5729	39	25	.	.	PUNCT
ejpam-5729	40	1	this	this	PRON
ejpam-5729	40	2	distinguishes	distinguish	VERB
ejpam-5729	40	3	them	they	PRON
ejpam-5729	40	4	from	from	ADP
ejpam-5729	40	5	other	other	ADJ
ejpam-5729	40	6	functional	functional	ADJ
ejpam-5729	40	7	differential	differential	NOUN
ejpam-5729	40	8	equations	equation	NOUN
ejpam-5729	40	9	,	,	PUNCT
ejpam-5729	40	10	such	such	ADJ
ejpam-5729	40	11	as	as	ADP
ejpam-5729	40	12	delay	delay	NOUN
ejpam-5729	40	13	differential	differential	ADJ
ejpam-5729	40	14	equations	equation	NOUN
ejpam-5729	40	15	,	,	PUNCT
ejpam-5729	40	16	which	which	PRON
ejpam-5729	40	17	involve	involve	VERB
ejpam-5729	40	18	delays	delay	NOUN
ejpam-5729	40	19	only	only	ADV
ejpam-5729	40	20	in	in	ADP
ejpam-5729	40	21	the	the	DET
ejpam-5729	40	22	dependent	dependent	ADJ
ejpam-5729	40	23	variable	variable	NOUN
ejpam-5729	40	24	without	without	ADP
ejpam-5729	40	25	its	its	PRON
ejpam-5729	40	26	derivatives	derivative	NOUN
ejpam-5729	40	27	.	.	PUNCT
ejpam-5729	41	1	there	there	PRON
ejpam-5729	41	2	has	have	AUX
ejpam-5729	41	3	long	long	ADV
ejpam-5729	41	4	been	be	AUX
ejpam-5729	41	5	a	a	DET
ejpam-5729	41	6	lot	lot	NOUN
ejpam-5729	41	7	of	of	ADP
ejpam-5729	41	8	research	research	NOUN
ejpam-5729	41	9	into	into	ADP
ejpam-5729	41	10	the	the	DET
ejpam-5729	41	11	oscillatory	oscillatory	ADJ
ejpam-5729	41	12	behavior	behavior	NOUN
ejpam-5729	41	13	and	and	CCONJ
ejpam-5729	41	14	asymptotic	asymptotic	ADJ
ejpam-5729	41	15	features	feature	NOUN
ejpam-5729	41	16	of	of	ADP
ejpam-5729	41	17	the	the	DET
ejpam-5729	41	18	solutions	solution	NOUN
ejpam-5729	41	19	to	to	ADP
ejpam-5729	41	20	many	many	ADJ
ejpam-5729	41	21	different	different	ADJ
ejpam-5729	41	22	types	type	NOUN
ejpam-5729	41	23	of	of	ADP
ejpam-5729	41	24	functional	functional	ADJ
ejpam-5729	41	25	differential	differential	ADJ
ejpam-5729	41	26	equations	equation	NOUN
ejpam-5729	41	27	.	.	PUNCT
ejpam-5729	42	1	here	here	ADV
ejpam-5729	42	2	,	,	PUNCT
ejpam-5729	42	3	we	we	PRON
ejpam-5729	42	4	recall	recall	VERB
ejpam-5729	42	5	the	the	DET
ejpam-5729	42	6	pioneering	pioneering	ADJ
ejpam-5729	42	7	works	work	NOUN
ejpam-5729	42	8	of	of	ADP
ejpam-5729	42	9	[	[	X
ejpam-5729	42	10	14	14	NUM
ejpam-5729	42	11	,	,	PUNCT
ejpam-5729	42	12	26	26	NUM
ejpam-5729	42	13	,	,	PUNCT
ejpam-5729	42	14	46	46	NUM
ejpam-5729	42	15	,	,	PUNCT
ejpam-5729	42	16	48	48	NUM
ejpam-5729	42	17	]	]	PUNCT
ejpam-5729	42	18	.	.	PUNCT
ejpam-5729	43	1	in	in	ADP
ejpam-5729	43	2	the	the	DET
ejpam-5729	43	3	last	last	ADJ
ejpam-5729	43	4	few	few	ADJ
ejpam-5729	43	5	years	year	NOUN
ejpam-5729	43	6	,	,	PUNCT
ejpam-5729	43	7	there	there	PRON
ejpam-5729	43	8	has	have	AUX
ejpam-5729	43	9	been	be	AUX
ejpam-5729	43	10	a	a	DET
ejpam-5729	43	11	major	major	ADJ
ejpam-5729	43	12	expansion	expansion	NOUN
ejpam-5729	43	13	and	and	CCONJ
ejpam-5729	43	14	evolution	evolution	NOUN
ejpam-5729	43	15	of	of	ADP
ejpam-5729	43	16	oscillation	oscillation	NOUN
ejpam-5729	43	17	theory	theory	NOUN
ejpam-5729	43	18	,	,	PUNCT
ejpam-5729	43	19	which	which	PRON
ejpam-5729	43	20	currently	currently	ADV
ejpam-5729	43	21	includes	include	VERB
ejpam-5729	43	22	the	the	DET
ejpam-5729	43	23	study	study	NOUN
ejpam-5729	43	24	of	of	ADP
ejpam-5729	43	25	oscillation	oscillation	NOUN
ejpam-5729	43	26	for	for	ADP
ejpam-5729	43	27	fractional	fractional	ADJ
ejpam-5729	43	28	and	and	CCONJ
ejpam-5729	43	29	ordinary	ordinary	ADJ
ejpam-5729	43	30	des	des	PROPN
ejpam-5729	43	31	solutions	solution	NOUN
ejpam-5729	43	32	with	with	ADP
ejpam-5729	43	33	delay	delay	NOUN
ejpam-5729	43	34	,	,	PUNCT
ejpam-5729	43	35	neutral	neutral	ADJ
ejpam-5729	43	36	,	,	PUNCT
ejpam-5729	43	37	mixed	mixed	ADJ
ejpam-5729	43	38	,	,	PUNCT
ejpam-5729	43	39	or	or	CCONJ
ejpam-5729	43	40	damping	damp	VERB
ejpam-5729	43	41	components	component	NOUN
ejpam-5729	43	42	.	.	PUNCT
ejpam-5729	44	1	for	for	ADP
ejpam-5729	44	2	instance	instance	NOUN
ejpam-5729	44	3	,	,	PUNCT
ejpam-5729	44	4	[	[	X
ejpam-5729	44	5	43–45	43–45	NOUN
ejpam-5729	44	6	]	]	PUNCT
ejpam-5729	44	7	contains	contain	VERB
ejpam-5729	44	8	mixed	mixed	ADJ
ejpam-5729	44	9	equations	equation	NOUN
ejpam-5729	44	10	;	;	PUNCT
ejpam-5729	44	11	[	[	X
ejpam-5729	44	12	5	5	NUM
ejpam-5729	44	13	,	,	PUNCT
ejpam-5729	44	14	11	11	NUM
ejpam-5729	44	15	,	,	PUNCT
ejpam-5729	44	16	23	23	NUM
ejpam-5729	44	17	,	,	PUNCT
ejpam-5729	44	18	32	32	NUM
ejpam-5729	44	19	,	,	PUNCT
ejpam-5729	44	20	33	33	NUM
ejpam-5729	44	21	,	,	PUNCT
ejpam-5729	44	22	35	35	NUM
ejpam-5729	44	23	,	,	PUNCT
ejpam-5729	44	24	39	39	NUM
ejpam-5729	44	25	]	]	PUNCT
ejpam-5729	44	26	contains	contain	VERB
ejpam-5729	44	27	neutral	neutral	ADJ
ejpam-5729	44	28	equations	equation	NOUN
ejpam-5729	44	29	;	;	PUNCT
ejpam-5729	44	30	and	and	CCONJ
ejpam-5729	44	31	[	[	X
ejpam-5729	44	32	7	7	NUM
ejpam-5729	44	33	,	,	PUNCT
ejpam-5729	44	34	47	47	NUM
ejpam-5729	44	35	]	]	PUNCT
ejpam-5729	44	36	demonstrates	demonstrate	VERB
ejpam-5729	44	37	the	the	DET
ejpam-5729	44	38	advancement	advancement	NOUN
ejpam-5729	44	39	in	in	ADP
ejpam-5729	44	40	the	the	DET
ejpam-5729	44	41	investigation	investigation	NOUN
ejpam-5729	44	42	of	of	ADP
ejpam-5729	44	43	higher	high	ADJ
ejpam-5729	44	44	-	-	PUNCT
ejpam-5729	44	45	order	order	NOUN
ejpam-5729	44	46	equations	equation	NOUN
ejpam-5729	44	47	.	.	PUNCT
ejpam-5729	45	1	additionally	additionally	ADV
ejpam-5729	45	2	,	,	PUNCT
ejpam-5729	45	3	the	the	DET
ejpam-5729	45	4	oscillation	oscillation	NOUN
ejpam-5729	45	5	of	of	ADP
ejpam-5729	45	6	damping	damp	VERB
ejpam-5729	45	7	equations	equation	NOUN
ejpam-5729	45	8	can	can	AUX
ejpam-5729	45	9	be	be	AUX
ejpam-5729	45	10	traced	trace	VERB
ejpam-5729	45	11	in	in	ADP
ejpam-5729	45	12	[	[	X
ejpam-5729	45	13	6	6	NUM
ejpam-5729	45	14	,	,	PUNCT
ejpam-5729	45	15	8	8	NUM
ejpam-5729	45	16	]	]	PUNCT
ejpam-5729	45	17	.	.	PUNCT
ejpam-5729	46	1	on	on	ADP
ejpam-5729	46	2	the	the	DET
ejpam-5729	46	3	other	other	ADJ
ejpam-5729	46	4	hand	hand	NOUN
ejpam-5729	46	5	,	,	PUNCT
ejpam-5729	46	6	refs.[19	refs.[19	NOUN
ejpam-5729	46	7	]	]	PUNCT
ejpam-5729	46	8	dealt	deal	VERB
ejpam-5729	46	9	with	with	ADP
ejpam-5729	46	10	fractional	fractional	ADJ
ejpam-5729	46	11	des	de	NOUN
ejpam-5729	46	12	,	,	PUNCT
ejpam-5729	46	13	while	while	SCONJ
ejpam-5729	46	14	[	[	X
ejpam-5729	46	15	21	21	NUM
ejpam-5729	46	16	,	,	PUNCT
ejpam-5729	46	17	22	22	NUM
ejpam-5729	46	18	]	]	PUNCT
ejpam-5729	46	19	is	be	AUX
ejpam-5729	46	20	concerned	concern	VERB
ejpam-5729	46	21	with	with	ADP
ejpam-5729	46	22	dynamic	dynamic	ADJ
ejpam-5729	46	23	equations	equation	NOUN
ejpam-5729	46	24	.	.	PUNCT
ejpam-5729	47	1	oscillation	oscillation	NOUN
ejpam-5729	47	2	theory	theory	NOUN
ejpam-5729	47	3	is	be	AUX
ejpam-5729	47	4	interesting	interesting	ADJ
ejpam-5729	47	5	both	both	CCONJ
ejpam-5729	47	6	theoretically	theoretically	ADV
ejpam-5729	47	7	and	and	CCONJ
ejpam-5729	47	8	practically	practically	ADV
ejpam-5729	47	9	.	.	PUNCT
ejpam-5729	48	1	it	it	PRON
ejpam-5729	48	2	is	be	AUX
ejpam-5729	48	3	known	know	VERB
ejpam-5729	48	4	that	that	SCONJ
ejpam-5729	48	5	homogeneous	homogeneous	ADJ
ejpam-5729	48	6	first	first	ADJ
ejpam-5729	48	7	-	-	PUNCT
ejpam-5729	48	8	order	order	NOUN
ejpam-5729	48	9	ordinary	ordinary	ADJ
ejpam-5729	48	10	differential	differential	ADJ
ejpam-5729	48	11	equations	equation	NOUN
ejpam-5729	48	12	do	do	AUX
ejpam-5729	48	13	not	not	PART
ejpam-5729	48	14	have	have	VERB
ejpam-5729	48	15	oscillatory	oscillatory	ADJ
ejpam-5729	48	16	solutions	solution	NOUN
ejpam-5729	48	17	.	.	PUNCT
ejpam-5729	49	1	however	however	ADV
ejpam-5729	49	2	,	,	PUNCT
ejpam-5729	49	3	the	the	DET
ejpam-5729	49	4	presence	presence	NOUN
ejpam-5729	49	5	of	of	ADP
ejpam-5729	49	6	deviant	deviant	ADJ
ejpam-5729	49	7	arguments	argument	NOUN
ejpam-5729	49	8	can	can	AUX
ejpam-5729	49	9	cause	cause	VERB
ejpam-5729	49	10	oscillation	oscillation	NOUN
ejpam-5729	49	11	of	of	ADP
ejpam-5729	49	12	solutions	solution	NOUN
ejpam-5729	49	13	;	;	PUNCT
ejpam-5729	49	14	see	see	VERB
ejpam-5729	49	15	[	[	X
ejpam-5729	49	16	15	15	NUM
ejpam-5729	49	17	]	]	PUNCT
ejpam-5729	49	18	.	.	PUNCT
ejpam-5729	50	1	therefore	therefore	ADV
ejpam-5729	50	2	,	,	PUNCT
ejpam-5729	50	3	the	the	DET
ejpam-5729	50	4	focus	focus	NOUN
ejpam-5729	50	5	has	have	AUX
ejpam-5729	50	6	been	be	AUX
ejpam-5729	50	7	on	on	ADP
ejpam-5729	50	8	studying	study	VERB
ejpam-5729	50	9	and	and	CCONJ
ejpam-5729	50	10	understanding	understand	VERB
ejpam-5729	50	11	the	the	DET
ejpam-5729	50	12	behavior	behavior	NOUN
ejpam-5729	50	13	of	of	ADP
ejpam-5729	50	14	secondand	secondand	NOUN
ejpam-5729	50	15	higher	high	ADJ
ejpam-5729	50	16	-	-	PUNCT
ejpam-5729	50	17	order	order	NOUN
ejpam-5729	50	18	differential	differential	ADJ
ejpam-5729	50	19	equation	equation	NOUN
ejpam-5729	50	20	solutions	solution	NOUN
ejpam-5729	50	21	.	.	PUNCT
ejpam-5729	51	1	we	we	PRON
ejpam-5729	51	2	should	should	AUX
ejpam-5729	51	3	not	not	PART
ejpam-5729	51	4	fail	fail	VERB
ejpam-5729	51	5	to	to	PART
ejpam-5729	51	6	include	include	VERB
ejpam-5729	51	7	the	the	DET
ejpam-5729	51	8	ancient	ancient	ADJ
ejpam-5729	51	9	papers	paper	NOUN
ejpam-5729	51	10	that	that	PRON
ejpam-5729	51	11	were	be	AUX
ejpam-5729	51	12	and	and	CCONJ
ejpam-5729	51	13	probably	probably	ADV
ejpam-5729	51	14	still	still	ADV
ejpam-5729	51	15	are	be	AUX
ejpam-5729	51	16	a	a	DET
ejpam-5729	51	17	source	source	NOUN
ejpam-5729	51	18	of	of	ADP
ejpam-5729	51	19	inspiration	inspiration	NOUN
ejpam-5729	51	20	for	for	ADP
ejpam-5729	51	21	many	many	ADJ
ejpam-5729	51	22	studies	study	NOUN
ejpam-5729	51	23	that	that	PRON
ejpam-5729	51	24	were	be	AUX
ejpam-5729	51	25	interested	interested	ADJ
ejpam-5729	51	26	in	in	ADP
ejpam-5729	51	27	discovering	discover	VERB
ejpam-5729	51	28	oscillation	oscillation	NOUN
ejpam-5729	51	29	criterion	criterion	NOUN
ejpam-5729	51	30	when	when	SCONJ
ejpam-5729	51	31	studying	study	VERB
ejpam-5729	51	32	second	second	ADJ
ejpam-5729	51	33	-	-	PUNCT
ejpam-5729	51	34	order	order	NOUN
ejpam-5729	51	35	de	de	X
ejpam-5729	51	36	(	(	PUNCT
ejpam-5729	51	37	linear	linear	ADJ
ejpam-5729	51	38	,	,	PUNCT
ejpam-5729	51	39	half	half	ADJ
ejpam-5729	51	40	-	-	PUNCT
ejpam-5729	51	41	linear	linear	ADJ
ejpam-5729	51	42	,	,	PUNCT
ejpam-5729	51	43	superlinear	superlinear	NOUN
ejpam-5729	51	44	,	,	PUNCT
ejpam-5729	51	45	and	and	CCONJ
ejpam-5729	51	46	sublinear	sublinear	NOUN
ejpam-5729	51	47	)	)	PUNCT
ejpam-5729	51	48	;	;	PUNCT
ejpam-5729	51	49	see	see	VERB
ejpam-5729	51	50	[	[	X
ejpam-5729	51	51	3	3	NUM
ejpam-5729	51	52	,	,	PUNCT
ejpam-5729	51	53	20	20	NUM
ejpam-5729	51	54	]	]	PUNCT
ejpam-5729	51	55	.	.	PUNCT
ejpam-5729	52	1	the	the	DET
ejpam-5729	52	2	extensive	extensive	ADJ
ejpam-5729	52	3	applications	application	NOUN
ejpam-5729	52	4	of	of	ADP
ejpam-5729	52	5	fourth	fourth	ADJ
ejpam-5729	52	6	-	-	PUNCT
ejpam-5729	52	7	order	order	NOUN
ejpam-5729	52	8	ddes	dde	NOUN
ejpam-5729	52	9	in	in	ADP
ejpam-5729	52	10	civil	civil	ADJ
ejpam-5729	52	11	,	,	PUNCT
ejpam-5729	52	12	aeronautical	aeronautical	NOUN
ejpam-5729	52	13	engineering	engineering	NOUN
ejpam-5729	52	14	,	,	PUNCT
ejpam-5729	52	15	and	and	CCONJ
ejpam-5729	52	16	mechanical	mechanical	ADJ
ejpam-5729	52	17	make	make	VERB
ejpam-5729	52	18	them	they	PRON
ejpam-5729	52	19	extremely	extremely	ADV
ejpam-5729	52	20	valuable	valuable	ADJ
ejpam-5729	52	21	in	in	ADP
ejpam-5729	52	22	daily	daily	ADJ
ejpam-5729	52	23	life	life	NOUN
ejpam-5729	52	24	.	.	PUNCT
ejpam-5729	53	1	because	because	SCONJ
ejpam-5729	53	2	this	this	DET
ejpam-5729	53	3	kind	kind	NOUN
ejpam-5729	53	4	of	of	ADP
ejpam-5729	53	5	equation	equation	NOUN
ejpam-5729	53	6	is	be	AUX
ejpam-5729	53	7	so	so	ADV
ejpam-5729	53	8	important	important	ADJ
ejpam-5729	53	9	in	in	ADP
ejpam-5729	53	10	so	so	ADV
ejpam-5729	53	11	many	many	ADJ
ejpam-5729	53	12	different	different	ADJ
ejpam-5729	53	13	domains	domain	NOUN
ejpam-5729	53	14	,	,	PUNCT
ejpam-5729	53	15	research	research	NOUN
ejpam-5729	53	16	on	on	ADP
ejpam-5729	53	17	it	it	PRON
ejpam-5729	53	18	is	be	AUX
ejpam-5729	53	19	still	still	ADV
ejpam-5729	53	20	ongoing	ongoing	ADJ
ejpam-5729	53	21	(	(	PUNCT
ejpam-5729	53	22	see	see	VERB
ejpam-5729	53	23	references	reference	NOUN
ejpam-5729	53	24	[	[	X
ejpam-5729	53	25	10	10	NUM
ejpam-5729	53	26	,	,	PUNCT
ejpam-5729	53	27	17	17	NUM
ejpam-5729	53	28	,	,	PUNCT
ejpam-5729	53	29	34	34	NUM
ejpam-5729	53	30	]	]	PUNCT
ejpam-5729	53	31	)	)	PUNCT
ejpam-5729	53	32	.	.	PUNCT
ejpam-5729	54	1	it	it	PRON
ejpam-5729	54	2	also	also	ADV
ejpam-5729	54	3	has	have	VERB
ejpam-5729	54	4	biological	biological	ADJ
ejpam-5729	54	5	applications	application	NOUN
ejpam-5729	54	6	,	,	PUNCT
ejpam-5729	54	7	such	such	ADJ
ejpam-5729	54	8	as	as	ADP
ejpam-5729	54	9	analyzing	analyze	VERB
ejpam-5729	54	10	oscillations	oscillation	NOUN
ejpam-5729	54	11	in	in	ADP
ejpam-5729	54	12	neuromuscular	neuromuscular	ADJ
ejpam-5729	54	13	systems	system	NOUN
ejpam-5729	54	14	[	[	X
ejpam-5729	54	15	38	38	NUM
ejpam-5729	54	16	]	]	PUNCT
ejpam-5729	54	17	.	.	PUNCT
ejpam-5729	55	1	most	most	ADJ
ejpam-5729	55	2	of	of	ADP
ejpam-5729	55	3	the	the	DET
ejpam-5729	55	4	recently	recently	ADV
ejpam-5729	55	5	published	publish	VERB
ejpam-5729	55	6	results	result	NOUN
ejpam-5729	55	7	on	on	ADP
ejpam-5729	55	8	fourth	fourth	ADJ
ejpam-5729	55	9	-	-	PUNCT
ejpam-5729	55	10	order	order	NOUN
ejpam-5729	55	11	des	de	NOUN
ejpam-5729	55	12	in	in	ADP
ejpam-5729	55	13	the	the	DET
ejpam-5729	55	14	canonical	canonical	ADJ
ejpam-5729	55	15	case	case	NOUN
ejpam-5729	55	16	deal	deal	NOUN
ejpam-5729	55	17	with	with	ADP
ejpam-5729	55	18	equation	equation	NOUN
ejpam-5729	55	19	(	(	PUNCT
ejpam-5729	55	20	1	1	X
ejpam-5729	55	21	)	)	PUNCT
ejpam-5729	55	22	when	when	SCONJ
ejpam-5729	55	23	a1	a1	NOUN
ejpam-5729	55	24	(	(	PUNCT
ejpam-5729	55	25	u	u	NOUN
ejpam-5729	55	26	)	)	PUNCT
ejpam-5729	55	27	=	=	SYM
ejpam-5729	55	28	a2	a2	PROPN
ejpam-5729	55	29	(	(	PUNCT
ejpam-5729	55	30	u	u	NOUN
ejpam-5729	55	31	)	)	PUNCT
ejpam-5729	55	32	=	=	SYM
ejpam-5729	55	33	1	1	X
ejpam-5729	55	34	.	.	PUNCT
ejpam-5729	56	1	therefore	therefore	ADV
ejpam-5729	56	2	,	,	PUNCT
ejpam-5729	56	3	the	the	DET
ejpam-5729	56	4	goal	goal	NOUN
ejpam-5729	56	5	of	of	ADP
ejpam-5729	56	6	this	this	DET
ejpam-5729	56	7	work	work	NOUN
ejpam-5729	56	8	is	be	AUX
ejpam-5729	56	9	to	to	PART
ejpam-5729	56	10	extend	extend	VERB
ejpam-5729	56	11	the	the	DET
ejpam-5729	56	12	results	result	NOUN
ejpam-5729	56	13	obtained	obtain	VERB
ejpam-5729	56	14	by	by	ADP
ejpam-5729	56	15	studying	study	VERB
ejpam-5729	56	16	this	this	DET
ejpam-5729	56	17	form	form	NOUN
ejpam-5729	56	18	of	of	ADP
ejpam-5729	56	19	fourth	fourth	ADJ
ejpam-5729	56	20	-	-	PUNCT
ejpam-5729	56	21	order	order	NOUN
ejpam-5729	56	22	des	de	NOUN
ejpam-5729	56	23	involving	involve	VERB
ejpam-5729	56	24	the	the	DET
ejpam-5729	56	25	neutral	neutral	ADJ
ejpam-5729	56	26	delay	delay	NOUN
ejpam-5729	56	27	.	.	PUNCT
ejpam-5729	57	1	additionally	additionally	ADV
ejpam-5729	57	2	,	,	PUNCT
ejpam-5729	57	3	some	some	DET
ejpam-5729	57	4	similar	similar	ADJ
ejpam-5729	57	5	findings	finding	NOUN
ejpam-5729	57	6	served	serve	VERB
ejpam-5729	57	7	as	as	ADP
ejpam-5729	57	8	inspiration	inspiration	NOUN
ejpam-5729	57	9	for	for	ADP
ejpam-5729	57	10	our	our	PRON
ejpam-5729	57	11	study	study	NOUN
ejpam-5729	57	12	in	in	ADP
ejpam-5729	57	13	particular	particular	ADJ
ejpam-5729	57	14	:	:	PUNCT
ejpam-5729	57	15	masood	masood	PROPN
ejpam-5729	57	16	et	et	PROPN
ejpam-5729	57	17	al	al	PROPN
ejpam-5729	57	18	.	.	PUNCT
ejpam-5729	58	1	[	[	X
ejpam-5729	58	2	29	29	NUM
ejpam-5729	58	3	]	]	PUNCT
ejpam-5729	58	4	took	take	VERB
ejpam-5729	58	5	into	into	ADP
ejpam-5729	58	6	account	account	NOUN
ejpam-5729	58	7	the	the	DET
ejpam-5729	58	8	oscillatory	oscillatory	ADJ
ejpam-5729	58	9	characteristics	characteristic	NOUN
ejpam-5729	58	10	of	of	ADP
ejpam-5729	58	11	solutions	solution	NOUN
ejpam-5729	58	12	of	of	ADP
ejpam-5729	58	13	(	(	PUNCT
ejpam-5729	58	14	a3	a3	NOUN
ejpam-5729	58	15	(	(	PUNCT
ejpam-5729	58	16	u	u	NOUN
ejpam-5729	58	17	)	)	PUNCT
ejpam-5729	58	18	(	(	PUNCT
ejpam-5729	58	19	x	x	X
ejpam-5729	58	20	′′′	′′′	PROPN
ejpam-5729	58	21	(	(	PUNCT
ejpam-5729	58	22	u))α	u))α	ADJ
ejpam-5729	58	23	)	)	PUNCT
ejpam-5729	58	24	′	′	PUNCT
ejpam-5729	59	1	+	+	CCONJ
ejpam-5729	59	2	q	q	X
ejpam-5729	59	3	(	(	PUNCT
ejpam-5729	59	4	u)xα	u)xα	PROPN
ejpam-5729	59	5	(	(	PUNCT
ejpam-5729	59	6	ρ	ρ	PROPN
ejpam-5729	59	7	(	(	PUNCT
ejpam-5729	59	8	u	u	NOUN
ejpam-5729	59	9	)	)	PUNCT
ejpam-5729	59	10	)	)	PUNCT
ejpam-5729	60	1	=	=	SYM
ejpam-5729	60	2	0	0	NUM
ejpam-5729	60	3	,	,	PUNCT
ejpam-5729	60	4	u	u	PRON
ejpam-5729	60	5	≥	≥	NOUN
ejpam-5729	60	6	u0	u0	ADJ
ejpam-5729	60	7	,	,	PUNCT
ejpam-5729	60	8	where	where	SCONJ
ejpam-5729	60	9	α	α	PROPN
ejpam-5729	60	10	is	be	AUX
ejpam-5729	60	11	a	a	DET
ejpam-5729	60	12	ratio	ratio	NOUN
ejpam-5729	60	13	of	of	ADP
ejpam-5729	60	14	two	two	NUM
ejpam-5729	60	15	odd	odd	ADJ
ejpam-5729	60	16	integers	integer	NOUN
ejpam-5729	60	17	.	.	PUNCT
ejpam-5729	61	1	they	they	PRON
ejpam-5729	61	2	found	find	VERB
ejpam-5729	61	3	some	some	DET
ejpam-5729	61	4	properties	property	NOUN
ejpam-5729	61	5	for	for	ADP
ejpam-5729	61	6	a	a	DET
ejpam-5729	61	7	class	class	NOUN
ejpam-5729	61	8	of	of	ADP
ejpam-5729	61	9	positive	positive	ADJ
ejpam-5729	61	10	solutions	solution	NOUN
ejpam-5729	61	11	of	of	ADP
ejpam-5729	61	12	the	the	DET
ejpam-5729	61	13	latter	latter	ADJ
ejpam-5729	61	14	quasi	quasi	ADJ
ejpam-5729	61	15	-	-	ADJ
ejpam-5729	61	16	linear	linear	ADJ
ejpam-5729	61	17	dde	dde	PROPN
ejpam-5729	61	18	and	and	CCONJ
ejpam-5729	61	19	then	then	ADV
ejpam-5729	61	20	created	create	VERB
ejpam-5729	61	21	an	an	DET
ejpam-5729	61	22	oscillation	oscillation	NOUN
ejpam-5729	61	23	criterion	criterion	NOUN
ejpam-5729	61	24	.	.	PUNCT
ejpam-5729	62	1	w.	w.	PROPN
ejpam-5729	62	2	muhsin	muhsin	PROPN
ejpam-5729	62	3	et	et	PROPN
ejpam-5729	62	4	al	al	PROPN
ejpam-5729	62	5	.	.	PUNCT
ejpam-5729	62	6	/	/	SYM
ejpam-5729	62	7	eur	eur	PROPN
ejpam-5729	62	8	.	.	PUNCT
ejpam-5729	63	1	j.	j.	PROPN
ejpam-5729	63	2	pure	pure	PROPN
ejpam-5729	63	3	appl	appl	PROPN
ejpam-5729	63	4	.	.	PROPN
ejpam-5729	63	5	math	math	PROPN
ejpam-5729	63	6	,	,	PUNCT
ejpam-5729	63	7	18	18	NUM
ejpam-5729	63	8	(	(	PUNCT
ejpam-5729	63	9	1	1	NUM
ejpam-5729	63	10	)	)	PUNCT
ejpam-5729	63	11	(	(	PUNCT
ejpam-5729	63	12	2025	2025	NUM
ejpam-5729	63	13	)	)	PUNCT
ejpam-5729	63	14	,	,	PUNCT
ejpam-5729	63	15	5729	5729	NUM
ejpam-5729	63	16	4	4	NUM
ejpam-5729	63	17	of	of	ADP
ejpam-5729	63	18	17	17	NUM
ejpam-5729	63	19	by	by	ADP
ejpam-5729	63	20	using	use	VERB
ejpam-5729	63	21	some	some	DET
ejpam-5729	63	22	inequalities	inequality	NOUN
ejpam-5729	63	23	and	and	CCONJ
ejpam-5729	63	24	the	the	DET
ejpam-5729	63	25	theory	theory	NOUN
ejpam-5729	63	26	of	of	ADP
ejpam-5729	63	27	comparison	comparison	NOUN
ejpam-5729	63	28	,	,	PUNCT
ejpam-5729	63	29	bazighifan	bazighifan	NOUN
ejpam-5729	63	30	et	et	PROPN
ejpam-5729	63	31	al	al	PROPN
ejpam-5729	63	32	.	.	PUNCT
ejpam-5729	64	1	[	[	X
ejpam-5729	64	2	9	9	NUM
ejpam-5729	64	3	]	]	PUNCT
ejpam-5729	64	4	studied	study	VERB
ejpam-5729	64	5	the	the	DET
ejpam-5729	64	6	following	follow	VERB
ejpam-5729	64	7	equation	equation	NOUN
ejpam-5729	64	8	(	(	PUNCT
ejpam-5729	64	9	a3	a3	NOUN
ejpam-5729	64	10	(	(	PUNCT
ejpam-5729	64	11	u	u	NOUN
ejpam-5729	64	12	)	)	PUNCT
ejpam-5729	64	13	(	(	PUNCT
ejpam-5729	64	14	ω	ω	PROPN
ejpam-5729	64	15	′′′	′′′	PROPN
ejpam-5729	64	16	(	(	PUNCT
ejpam-5729	64	17	u))α	u))α	ADJ
ejpam-5729	64	18	)	)	PUNCT
ejpam-5729	64	19	′	′	PUNCT
ejpam-5729	65	1	+	+	CCONJ
ejpam-5729	65	2	q	q	X
ejpam-5729	65	3	(	(	PUNCT
ejpam-5729	65	4	u)xβ	u)xβ	PROPN
ejpam-5729	65	5	(	(	PUNCT
ejpam-5729	65	6	ρ	ρ	PROPN
ejpam-5729	65	7	(	(	PUNCT
ejpam-5729	65	8	u	u	NOUN
ejpam-5729	65	9	)	)	PUNCT
ejpam-5729	65	10	)	)	PUNCT
ejpam-5729	65	11	=	=	SYM
ejpam-5729	65	12	0	0	NUM
ejpam-5729	65	13	,	,	PUNCT
ejpam-5729	65	14	u	u	PRON
ejpam-5729	65	15	≥	≥	NOUN
ejpam-5729	65	16	u0	u0	ADJ
ejpam-5729	65	17	,	,	PUNCT
ejpam-5729	65	18	where	where	SCONJ
ejpam-5729	65	19	α	α	NOUN
ejpam-5729	65	20	and	and	CCONJ
ejpam-5729	65	21	β	β	X
ejpam-5729	65	22	are	be	AUX
ejpam-5729	65	23	quotients	quotient	NOUN
ejpam-5729	65	24	of	of	ADP
ejpam-5729	65	25	two	two	NUM
ejpam-5729	65	26	odd	odd	ADJ
ejpam-5729	65	27	positive	positive	ADJ
ejpam-5729	65	28	integers	integer	NOUN
ejpam-5729	65	29	.	.	PUNCT
ejpam-5729	66	1	they	they	PRON
ejpam-5729	66	2	presented	present	VERB
ejpam-5729	66	3	some	some	DET
ejpam-5729	66	4	oscillation	oscillation	NOUN
ejpam-5729	66	5	criteria	criterion	NOUN
ejpam-5729	66	6	for	for	ADP
ejpam-5729	66	7	the	the	DET
ejpam-5729	66	8	above	above	ADJ
ejpam-5729	66	9	equation	equation	NOUN
ejpam-5729	66	10	and	and	CCONJ
ejpam-5729	66	11	improved	improve	VERB
ejpam-5729	66	12	some	some	DET
ejpam-5729	66	13	previously	previously	ADV
ejpam-5729	66	14	published	publish	VERB
ejpam-5729	66	15	results	result	NOUN
ejpam-5729	66	16	.	.	PUNCT
ejpam-5729	67	1	in	in	ADP
ejpam-5729	67	2	2013	2013	NUM
ejpam-5729	67	3	,	,	PUNCT
ejpam-5729	67	4	agarwal	agarwal	PROPN
ejpam-5729	67	5	[	[	X
ejpam-5729	67	6	1	1	NUM
ejpam-5729	67	7	]	]	PUNCT
ejpam-5729	67	8	investigated	investigate	VERB
ejpam-5729	67	9	the	the	DET
ejpam-5729	67	10	oscillatory	oscillatory	ADJ
ejpam-5729	67	11	behavior	behavior	NOUN
ejpam-5729	67	12	of	of	ADP
ejpam-5729	67	13	the	the	DET
ejpam-5729	67	14	n	n	CCONJ
ejpam-5729	67	15	-	-	PUNCT
ejpam-5729	67	16	order	order	NOUN
ejpam-5729	67	17	equation	equation	NOUN
ejpam-5729	67	18	ω(n	ω(n	NUM
ejpam-5729	67	19	)	)	PUNCT
ejpam-5729	67	20	(	(	PUNCT
ejpam-5729	67	21	u	u	NOUN
ejpam-5729	67	22	)	)	PUNCT
ejpam-5729	68	1	+	+	CCONJ
ejpam-5729	68	2	q	q	X
ejpam-5729	68	3	(	(	PUNCT
ejpam-5729	68	4	u)x	u)x	X
ejpam-5729	68	5	(	(	PUNCT
ejpam-5729	68	6	ρ	ρ	PROPN
ejpam-5729	68	7	(	(	PUNCT
ejpam-5729	68	8	u	u	NOUN
ejpam-5729	68	9	)	)	PUNCT
ejpam-5729	68	10	)	)	PUNCT
ejpam-5729	69	1	=	=	SYM
ejpam-5729	69	2	0	0	NUM
ejpam-5729	69	3	,	,	PUNCT
ejpam-5729	69	4	(	(	PUNCT
ejpam-5729	69	5	3	3	NUM
ejpam-5729	69	6	)	)	PUNCT
ejpam-5729	69	7	and	and	CCONJ
ejpam-5729	69	8	arrived	arrive	VERB
ejpam-5729	69	9	at	at	ADP
ejpam-5729	69	10	criteria	criterion	NOUN
ejpam-5729	69	11	that	that	PRON
ejpam-5729	69	12	enhance	enhance	VERB
ejpam-5729	69	13	findings	finding	NOUN
ejpam-5729	69	14	reported	report	VERB
ejpam-5729	69	15	in	in	ADP
ejpam-5729	69	16	the	the	DET
ejpam-5729	69	17	literature	literature	NOUN
ejpam-5729	69	18	.	.	PUNCT
ejpam-5729	70	1	in	in	ADP
ejpam-5729	70	2	what	what	PRON
ejpam-5729	70	3	follows	follow	VERB
ejpam-5729	70	4	,	,	PUNCT
ejpam-5729	70	5	the	the	DET
ejpam-5729	70	6	oscillation	oscillation	NOUN
ejpam-5729	70	7	for	for	ADP
ejpam-5729	70	8	(	(	PUNCT
ejpam-5729	70	9	3	3	X
ejpam-5729	70	10	)	)	PUNCT
ejpam-5729	70	11	was	be	AUX
ejpam-5729	70	12	explored	explore	VERB
ejpam-5729	70	13	by	by	ADP
ejpam-5729	70	14	li	li	PROPN
ejpam-5729	70	15	and	and	CCONJ
ejpam-5729	70	16	rogovchenko	rogovchenko	PROPN
ejpam-5729	71	1	[	[	X
ejpam-5729	71	2	28	28	NUM
ejpam-5729	71	3	]	]	PUNCT
ejpam-5729	71	4	.	.	PUNCT
ejpam-5729	72	1	they	they	PRON
ejpam-5729	72	2	employed	employ	VERB
ejpam-5729	72	3	first	first	ADJ
ejpam-5729	72	4	-	-	PUNCT
ejpam-5729	72	5	order	order	NOUN
ejpam-5729	72	6	delay	delay	NOUN
ejpam-5729	72	7	equation	equation	NOUN
ejpam-5729	72	8	comparison	comparison	NOUN
ejpam-5729	72	9	as	as	ADP
ejpam-5729	72	10	their	their	PRON
ejpam-5729	72	11	method	method	NOUN
ejpam-5729	72	12	.	.	PUNCT
ejpam-5729	73	1	in	in	ADP
ejpam-5729	73	2	addition	addition	NOUN
ejpam-5729	73	3	,	,	PUNCT
ejpam-5729	73	4	salah	salah	PROPN
ejpam-5729	73	5	et	et	PROPN
ejpam-5729	73	6	al	al	PROPN
ejpam-5729	73	7	.	.	PUNCT
ejpam-5729	74	1	[	[	X
ejpam-5729	74	2	42	42	NUM
ejpam-5729	74	3	]	]	PUNCT
ejpam-5729	74	4	studied	study	VERB
ejpam-5729	74	5	equation	equation	NOUN
ejpam-5729	74	6	(	(	PUNCT
ejpam-5729	74	7	3	3	NUM
ejpam-5729	74	8	)	)	PUNCT
ejpam-5729	74	9	when	when	SCONJ
ejpam-5729	74	10	n	n	X
ejpam-5729	74	11	=	=	SYM
ejpam-5729	74	12	4	4	NUM
ejpam-5729	74	13	,	,	PUNCT
ejpam-5729	74	14	i.e.	i.e.	X
ejpam-5729	74	15	ω4	ω4	NUM
ejpam-5729	74	16	(	(	PUNCT
ejpam-5729	74	17	u	u	NOUN
ejpam-5729	74	18	)	)	PUNCT
ejpam-5729	74	19	+	+	CCONJ
ejpam-5729	74	20	q	q	X
ejpam-5729	74	21	(	(	PUNCT
ejpam-5729	74	22	u)x	u)x	X
ejpam-5729	74	23	(	(	PUNCT
ejpam-5729	74	24	ρ	ρ	PROPN
ejpam-5729	74	25	(	(	PUNCT
ejpam-5729	74	26	u	u	NOUN
ejpam-5729	74	27	)	)	PUNCT
ejpam-5729	74	28	)	)	PUNCT
ejpam-5729	75	1	=	=	SYM
ejpam-5729	75	2	0	0	NUM
ejpam-5729	75	3	,	,	PUNCT
ejpam-5729	75	4	u	u	PRON
ejpam-5729	75	5	≥	≥	NOUN
ejpam-5729	75	6	u0	u0	ADJ
ejpam-5729	75	7	.	.	PUNCT
ejpam-5729	76	1	for	for	ADP
ejpam-5729	76	2	the	the	DET
ejpam-5729	76	3	oscillation	oscillation	NOUN
ejpam-5729	76	4	of	of	ADP
ejpam-5729	76	5	every	every	DET
ejpam-5729	76	6	solution	solution	NOUN
ejpam-5729	76	7	to	to	ADP
ejpam-5729	76	8	their	their	PRON
ejpam-5729	76	9	equation	equation	NOUN
ejpam-5729	76	10	,	,	PUNCT
ejpam-5729	76	11	aptly	aptly	ADV
ejpam-5729	76	12	,	,	PUNCT
ejpam-5729	76	13	they	they	PRON
ejpam-5729	76	14	derived	derive	VERB
ejpam-5729	76	15	a	a	DET
ejpam-5729	76	16	new	new	ADJ
ejpam-5729	76	17	singleoscillation	singleoscillation	NOUN
ejpam-5729	76	18	criterion	criterion	NOUN
ejpam-5729	76	19	.	.	PUNCT
ejpam-5729	77	1	for	for	ADP
ejpam-5729	77	2	some	some	DET
ejpam-5729	77	3	instances	instance	NOUN
ejpam-5729	77	4	of	of	ADP
ejpam-5729	77	5	positive	positive	ADJ
ejpam-5729	77	6	solutions	solution	NOUN
ejpam-5729	77	7	to	to	ADP
ejpam-5729	77	8	the	the	DET
ejpam-5729	77	9	investigated	investigate	VERB
ejpam-5729	77	10	equation	equation	NOUN
ejpam-5729	77	11	,	,	PUNCT
ejpam-5729	77	12	they	they	PRON
ejpam-5729	77	13	established	establish	VERB
ejpam-5729	77	14	additional	additional	ADJ
ejpam-5729	77	15	monotonic	monotonic	ADJ
ejpam-5729	77	16	properties	property	NOUN
ejpam-5729	77	17	.	.	PUNCT
ejpam-5729	78	1	furthermore	furthermore	ADV
ejpam-5729	78	2	,	,	PUNCT
ejpam-5729	78	3	they	they	PRON
ejpam-5729	78	4	employed	employ	VERB
ejpam-5729	78	5	an	an	DET
ejpam-5729	78	6	iterative	iterative	NOUN
ejpam-5729	78	7	process	process	NOUN
ejpam-5729	78	8	to	to	PART
ejpam-5729	78	9	enhance	enhance	VERB
ejpam-5729	78	10	these	these	DET
ejpam-5729	78	11	attributes	attribute	NOUN
ejpam-5729	78	12	.	.	PUNCT
ejpam-5729	79	1	the	the	DET
ejpam-5729	79	2	evolution	evolution	NOUN
ejpam-5729	79	3	of	of	ADP
ejpam-5729	79	4	these	these	DET
ejpam-5729	79	5	monotonic	monotonic	ADJ
ejpam-5729	79	6	features	feature	NOUN
ejpam-5729	79	7	helps	help	VERB
ejpam-5729	79	8	to	to	PART
ejpam-5729	79	9	produce	produce	VERB
ejpam-5729	79	10	new	new	ADJ
ejpam-5729	79	11	and	and	CCONJ
ejpam-5729	79	12	more	more	ADV
ejpam-5729	79	13	effective	effective	ADJ
ejpam-5729	79	14	standards	standard	NOUN
ejpam-5729	79	15	for	for	ADP
ejpam-5729	79	16	confirming	confirm	VERB
ejpam-5729	79	17	the	the	DET
ejpam-5729	79	18	equation	equation	NOUN
ejpam-5729	79	19	’s	’s	PART
ejpam-5729	79	20	oscillation	oscillation	NOUN
ejpam-5729	79	21	.	.	PUNCT
ejpam-5729	80	1	the	the	DET
ejpam-5729	80	2	results	result	NOUN
ejpam-5729	80	3	obtained	obtain	VERB
ejpam-5729	80	4	,	,	PUNCT
ejpam-5729	80	5	utilizing	utilize	VERB
ejpam-5729	80	6	an	an	DET
ejpam-5729	80	7	example	example	NOUN
ejpam-5729	80	8	euler	euler	NOUN
ejpam-5729	80	9	-	-	PUNCT
ejpam-5729	80	10	type	type	NOUN
ejpam-5729	80	11	equation	equation	NOUN
ejpam-5729	80	12	an	an	PRON
ejpam-5729	80	13	,	,	PUNCT
ejpam-5729	80	14	extend	extend	VERB
ejpam-5729	80	15	and	and	CCONJ
ejpam-5729	80	16	improve	improve	VERB
ejpam-5729	80	17	upon	upon	SCONJ
ejpam-5729	80	18	earlier	early	ADJ
ejpam-5729	80	19	findings	finding	NOUN
ejpam-5729	80	20	in	in	ADP
ejpam-5729	80	21	the	the	DET
ejpam-5729	80	22	literature	literature	NOUN
ejpam-5729	80	23	.	.	PUNCT
ejpam-5729	81	1	on	on	ADP
ejpam-5729	81	2	the	the	DET
ejpam-5729	81	3	other	other	ADJ
ejpam-5729	81	4	hand	hand	NOUN
ejpam-5729	81	5	,	,	PUNCT
ejpam-5729	81	6	jadlovska	jadlovska	PROPN
ejpam-5729	81	7	[	[	X
ejpam-5729	81	8	24	24	NUM
ejpam-5729	81	9	]	]	PUNCT
ejpam-5729	81	10	used	use	VERB
ejpam-5729	81	11	an	an	DET
ejpam-5729	81	12	iteratively	iteratively	ADV
ejpam-5729	81	13	enhanced	enhance	VERB
ejpam-5729	81	14	monotonicity	monotonicity	NOUN
ejpam-5729	81	15	characteristic	characteristic	NOUN
ejpam-5729	81	16	of	of	ADP
ejpam-5729	81	17	non	non	ADJ
ejpam-5729	81	18	-	-	ADJ
ejpam-5729	81	19	oscillatory	oscillatory	ADJ
ejpam-5729	81	20	solutions	solution	NOUN
ejpam-5729	81	21	approach	approach	NOUN
ejpam-5729	81	22	to	to	PART
ejpam-5729	81	23	offer	offer	VERB
ejpam-5729	81	24	a	a	DET
ejpam-5729	81	25	single	single	ADJ
ejpam-5729	81	26	-	-	PUNCT
ejpam-5729	81	27	condition	condition	NOUN
ejpam-5729	81	28	sharp	sharp	ADJ
ejpam-5729	81	29	criterion	criterion	NOUN
ejpam-5729	81	30	for	for	ADP
ejpam-5729	81	31	the	the	DET
ejpam-5729	81	32	oscillation	oscillation	NOUN
ejpam-5729	81	33	of	of	ADP
ejpam-5729	81	34	the	the	DET
ejpam-5729	81	35	spacial	spacial	ADJ
ejpam-5729	81	36	case	case	NOUN
ejpam-5729	81	37	of	of	ADP
ejpam-5729	81	38	the	the	DET
ejpam-5729	81	39	above	above	ADJ
ejpam-5729	81	40	equation	equation	NOUN
ejpam-5729	81	41	when	when	SCONJ
ejpam-5729	81	42	h	h	PROPN
ejpam-5729	81	43	(	(	PUNCT
ejpam-5729	81	44	u	u	NOUN
ejpam-5729	81	45	)	)	PUNCT
ejpam-5729	81	46	=	=	SYM
ejpam-5729	81	47	0	0	NUM
ejpam-5729	81	48	,	,	PUNCT
ejpam-5729	81	49	i.e	i.e	PROPN
ejpam-5729	81	50	x4	x4	PROPN
ejpam-5729	81	51	(	(	PUNCT
ejpam-5729	81	52	u	u	NOUN
ejpam-5729	81	53	)	)	PUNCT
ejpam-5729	81	54	+	+	CCONJ
ejpam-5729	81	55	q	q	X
ejpam-5729	81	56	(	(	PUNCT
ejpam-5729	81	57	u)x	u)x	X
ejpam-5729	81	58	(	(	PUNCT
ejpam-5729	81	59	ρ	ρ	PROPN
ejpam-5729	81	60	(	(	PUNCT
ejpam-5729	81	61	u	u	NOUN
ejpam-5729	81	62	)	)	PUNCT
ejpam-5729	81	63	)	)	PUNCT
ejpam-5729	82	1	=	=	SYM
ejpam-5729	82	2	0	0	NUM
ejpam-5729	82	3	,	,	PUNCT
ejpam-5729	82	4	u	u	PRON
ejpam-5729	82	5	≥	≥	NOUN
ejpam-5729	82	6	u0	u0	ADJ
ejpam-5729	82	7	.	.	PUNCT
ejpam-5729	83	1	perhaps	perhaps	ADV
ejpam-5729	83	2	one	one	NUM
ejpam-5729	83	3	of	of	ADP
ejpam-5729	83	4	the	the	DET
ejpam-5729	83	5	oldest	old	ADJ
ejpam-5729	83	6	studies	study	NOUN
ejpam-5729	83	7	in	in	ADP
ejpam-5729	83	8	the	the	DET
ejpam-5729	83	9	literature	literature	NOUN
ejpam-5729	83	10	,	,	PUNCT
ejpam-5729	83	11	[	[	X
ejpam-5729	83	12	25	25	NUM
ejpam-5729	83	13	]	]	PUNCT
ejpam-5729	83	14	,	,	PUNCT
ejpam-5729	83	15	that	that	PRON
ejpam-5729	83	16	presented	present	VERB
ejpam-5729	83	17	some	some	DET
ejpam-5729	83	18	oscillation	oscillation	NOUN
ejpam-5729	83	19	criteria	criterion	NOUN
ejpam-5729	83	20	for	for	ADP
ejpam-5729	83	21	equation	equation	NOUN
ejpam-5729	83	22	[	[	PUNCT
ejpam-5729	83	23	a3	a3	NOUN
ejpam-5729	83	24	(	(	PUNCT
ejpam-5729	83	25	u)x	u)x	VERB
ejpam-5729	83	26	′′	′′	PROPN
ejpam-5729	83	27	(	(	PUNCT
ejpam-5729	83	28	u	u	NOUN
ejpam-5729	83	29	)	)	PUNCT
ejpam-5729	83	30	]	]	PUNCT
ejpam-5729	84	1	′′	′′	PROPN
ejpam-5729	84	2	+	+	CCONJ
ejpam-5729	84	3	x	x	SYM
ejpam-5729	84	4	(	(	PUNCT
ejpam-5729	84	5	u)f	u)f	ADJ
ejpam-5729	84	6	(	(	PUNCT
ejpam-5729	84	7	x2	x2	PROPN
ejpam-5729	84	8	,	,	PUNCT
ejpam-5729	84	9	u	u	NOUN
ejpam-5729	84	10	)	)	PUNCT
ejpam-5729	84	11	=	=	SYM
ejpam-5729	84	12	0	0	NUM
ejpam-5729	84	13	,	,	PUNCT
ejpam-5729	84	14	u	u	NOUN
ejpam-5729	84	15	≥	≥	NOUN
ejpam-5729	84	16	0	0	NUM
ejpam-5729	84	17	,	,	PUNCT
ejpam-5729	84	18	(	(	PUNCT
ejpam-5729	84	19	4	4	X
ejpam-5729	84	20	)	)	PUNCT
ejpam-5729	84	21	the	the	DET
ejpam-5729	84	22	function	function	NOUN
ejpam-5729	84	23	f	f	PROPN
ejpam-5729	84	24	in	in	ADP
ejpam-5729	84	25	this	this	DET
ejpam-5729	84	26	equation	equation	NOUN
ejpam-5729	84	27	is	be	AUX
ejpam-5729	84	28	given	give	VERB
ejpam-5729	84	29	as	as	SCONJ
ejpam-5729	84	30	follows	follow	VERB
ejpam-5729	84	31	:	:	PUNCT
ejpam-5729	84	32	xf	xf	PROPN
ejpam-5729	84	33	(	(	PUNCT
ejpam-5729	84	34	x2	x2	PROPN
ejpam-5729	84	35	,	,	PUNCT
ejpam-5729	84	36	u	u	NOUN
ejpam-5729	84	37	)	)	PUNCT
ejpam-5729	84	38	is	be	AUX
ejpam-5729	84	39	continuous	continuous	ADJ
ejpam-5729	84	40	for	for	ADP
ejpam-5729	84	41	|x|	|x|	PROPN
ejpam-5729	84	42	<	<	X
ejpam-5729	84	43	∞	∞	PROPN
ejpam-5729	84	44	,	,	PUNCT
ejpam-5729	84	45	u	u	NOUN
ejpam-5729	84	46	≥	≥	NOUN
ejpam-5729	84	47	0	0	NUM
ejpam-5729	84	48	,	,	PUNCT
ejpam-5729	84	49	and	and	CCONJ
ejpam-5729	84	50	f	f	PROPN
ejpam-5729	84	51	(	(	PUNCT
ejpam-5729	84	52	y	y	PROPN
ejpam-5729	84	53	,	,	PUNCT
ejpam-5729	84	54	u	u	NOUN
ejpam-5729	84	55	)	)	PUNCT
ejpam-5729	84	56	is	be	AUX
ejpam-5729	84	57	positive	positive	ADJ
ejpam-5729	84	58	for	for	ADP
ejpam-5729	84	59	y	y	PROPN
ejpam-5729	84	60	>	>	X
ejpam-5729	84	61	0	0	PROPN
ejpam-5729	84	62	,	,	PUNCT
ejpam-5729	84	63	u	u	NOUN
ejpam-5729	84	64	≥	≥	NOUN
ejpam-5729	84	65	0	0	NUM
ejpam-5729	84	66	.	.	PUNCT
ejpam-5729	85	1	following	follow	VERB
ejpam-5729	85	2	nehari	nehari	NOUN
ejpam-5729	85	3	[	[	X
ejpam-5729	85	4	37	37	NUM
ejpam-5729	85	5	]	]	PUNCT
ejpam-5729	85	6	and	and	CCONJ
ejpam-5729	85	7	wong	wong	PROPN
ejpam-5729	85	8	[	[	X
ejpam-5729	85	9	13	13	NUM
ejpam-5729	85	10	]	]	PUNCT
ejpam-5729	85	11	,	,	PUNCT
ejpam-5729	85	12	where	where	SCONJ
ejpam-5729	85	13	equations	equation	NOUN
ejpam-5729	85	14	of	of	ADP
ejpam-5729	85	15	the	the	DET
ejpam-5729	85	16	form	form	NOUN
ejpam-5729	85	17	(	(	PUNCT
ejpam-5729	85	18	4	4	X
ejpam-5729	85	19	)	)	PUNCT
ejpam-5729	85	20	are	be	AUX
ejpam-5729	85	21	classified	classify	VERB
ejpam-5729	85	22	based	base	VERB
ejpam-5729	85	23	on	on	ADP
ejpam-5729	85	24	the	the	DET
ejpam-5729	85	25	nonlinearity	nonlinearity	NOUN
ejpam-5729	85	26	of	of	ADP
ejpam-5729	85	27	xf	xf	PROPN
ejpam-5729	85	28	(	(	PUNCT
ejpam-5729	85	29	x2	x2	PROPN
ejpam-5729	85	30	,	,	PUNCT
ejpam-5729	85	31	u	u	NOUN
ejpam-5729	85	32	)	)	PUNCT
ejpam-5729	85	33	with	with	ADP
ejpam-5729	85	34	respect	respect	NOUN
ejpam-5729	85	35	to	to	ADP
ejpam-5729	85	36	x.	x.	NOUN
ejpam-5729	85	37	they	they	PRON
ejpam-5729	85	38	determined	determine	VERB
ejpam-5729	85	39	the	the	DET
ejpam-5729	85	40	effect	effect	NOUN
ejpam-5729	85	41	that	that	DET
ejpam-5729	85	42	a3	a3	NOUN
ejpam-5729	85	43	(	(	PUNCT
ejpam-5729	85	44	u	u	NOUN
ejpam-5729	85	45	)	)	PUNCT
ejpam-5729	85	46	exercises	exercise	NOUN
ejpam-5729	85	47	upon	upon	SCONJ
ejpam-5729	85	48	the	the	DET
ejpam-5729	85	49	oscillatory	oscillatory	ADJ
ejpam-5729	85	50	character	character	NOUN
ejpam-5729	85	51	of	of	ADP
ejpam-5729	85	52	(	(	PUNCT
ejpam-5729	85	53	4	4	NUM
ejpam-5729	85	54	)	)	PUNCT
ejpam-5729	85	55	in	in	ADP
ejpam-5729	85	56	conjunction	conjunction	NOUN
ejpam-5729	85	57	with	with	ADP
ejpam-5729	85	58	its	its	PRON
ejpam-5729	85	59	nonlinearity	nonlinearity	NOUN
ejpam-5729	85	60	.	.	PUNCT
ejpam-5729	86	1	new	new	ADJ
ejpam-5729	86	2	monotonic	monotonic	ADJ
ejpam-5729	86	3	properties	property	NOUN
ejpam-5729	86	4	of	of	ADP
ejpam-5729	86	5	the	the	DET
ejpam-5729	86	6	second	second	ADJ
ejpam-5729	86	7	-	-	PUNCT
ejpam-5729	86	8	order	order	NOUN
ejpam-5729	86	9	nde	nde	PROPN
ejpam-5729	86	10	(	(	PUNCT
ejpam-5729	86	11	a3	a3	NOUN
ejpam-5729	86	12	(	(	PUNCT
ejpam-5729	86	13	u	u	NOUN
ejpam-5729	86	14	)	)	PUNCT
ejpam-5729	86	15	(	(	PUNCT
ejpam-5729	86	16	ω′	ω′	X
ejpam-5729	86	17	(	(	PUNCT
ejpam-5729	86	18	u	u	NOUN
ejpam-5729	86	19	)	)	PUNCT
ejpam-5729	86	20	)	)	PUNCT
ejpam-5729	86	21	α)′	α)′	PROPN
ejpam-5729	87	1	+	+	NUM
ejpam-5729	87	2	q	q	X
ejpam-5729	87	3	(	(	PUNCT
ejpam-5729	87	4	u)xα	u)xα	PROPN
ejpam-5729	87	5	(	(	PUNCT
ejpam-5729	87	6	ρ	ρ	PROPN
ejpam-5729	87	7	(	(	PUNCT
ejpam-5729	87	8	u	u	NOUN
ejpam-5729	87	9	)	)	PUNCT
ejpam-5729	87	10	)	)	PUNCT
ejpam-5729	87	11	=	=	SYM
ejpam-5729	87	12	0	0	NUM
ejpam-5729	87	13	,	,	PUNCT
ejpam-5729	88	1	w.	w.	PROPN
ejpam-5729	88	2	muhsin	muhsin	PROPN
ejpam-5729	88	3	et	et	PROPN
ejpam-5729	88	4	al	al	PROPN
ejpam-5729	88	5	.	.	PUNCT
ejpam-5729	88	6	/	/	SYM
ejpam-5729	88	7	eur	eur	PROPN
ejpam-5729	88	8	.	.	PUNCT
ejpam-5729	89	1	j.	j.	PROPN
ejpam-5729	89	2	pure	pure	PROPN
ejpam-5729	89	3	appl	appl	PROPN
ejpam-5729	89	4	.	.	PROPN
ejpam-5729	89	5	math	math	PROPN
ejpam-5729	89	6	,	,	PUNCT
ejpam-5729	89	7	18	18	NUM
ejpam-5729	89	8	(	(	PUNCT
ejpam-5729	89	9	1	1	NUM
ejpam-5729	89	10	)	)	PUNCT
ejpam-5729	89	11	(	(	PUNCT
ejpam-5729	89	12	2025	2025	NUM
ejpam-5729	89	13	)	)	PUNCT
ejpam-5729	89	14	,	,	PUNCT
ejpam-5729	89	15	5729	5729	NUM
ejpam-5729	89	16	5	5	NUM
ejpam-5729	89	17	of	of	ADP
ejpam-5729	89	18	17	17	NUM
ejpam-5729	89	19	were	be	AUX
ejpam-5729	89	20	derived	derive	VERB
ejpam-5729	89	21	by	by	ADP
ejpam-5729	89	22	moaaz	moaaz	PROPN
ejpam-5729	89	23	et	et	PROPN
ejpam-5729	89	24	al	al	PROPN
ejpam-5729	89	25	.	.	PUNCT
ejpam-5729	90	1	[	[	X
ejpam-5729	90	2	30	30	NUM
ejpam-5729	90	3	]	]	PUNCT
ejpam-5729	90	4	.	.	PUNCT
ejpam-5729	91	1	subsequently	subsequently	ADV
ejpam-5729	91	2	,	,	PUNCT
ejpam-5729	91	3	they	they	PRON
ejpam-5729	91	4	employed	employ	VERB
ejpam-5729	91	5	these	these	DET
ejpam-5729	91	6	characteristics	characteristic	NOUN
ejpam-5729	91	7	to	to	PART
ejpam-5729	91	8	derive	derive	VERB
ejpam-5729	91	9	optimal	optimal	ADJ
ejpam-5729	91	10	oscillation	oscillation	NOUN
ejpam-5729	91	11	parameters	parameter	NOUN
ejpam-5729	91	12	,	,	PUNCT
ejpam-5729	91	13	employing	employ	VERB
ejpam-5729	91	14	various	various	ADJ
ejpam-5729	91	15	approaches	approach	NOUN
ejpam-5729	91	16	to	to	PART
ejpam-5729	91	17	achieve	achieve	VERB
ejpam-5729	91	18	this	this	DET
ejpam-5729	91	19	objective	objective	NOUN
ejpam-5729	91	20	.	.	PUNCT
ejpam-5729	92	1	additionally	additionally	ADV
ejpam-5729	92	2	,	,	PUNCT
ejpam-5729	92	3	they	they	PRON
ejpam-5729	92	4	provided	provide	VERB
ejpam-5729	92	5	new	new	ADJ
ejpam-5729	92	6	standards	standard	NOUN
ejpam-5729	92	7	that	that	PRON
ejpam-5729	92	8	guarantee	guarantee	VERB
ejpam-5729	92	9	the	the	DET
ejpam-5729	92	10	oscillation	oscillation	NOUN
ejpam-5729	92	11	of	of	ADP
ejpam-5729	92	12	the	the	DET
ejpam-5729	92	13	fourth	fourth	ADJ
ejpam-5729	92	14	-	-	PUNCT
ejpam-5729	92	15	order	order	NOUN
ejpam-5729	92	16	nde	nde	NOUN
ejpam-5729	92	17	(	(	PUNCT
ejpam-5729	92	18	a3	a3	PROPN
ejpam-5729	92	19	(	(	PUNCT
ejpam-5729	92	20	u	u	NOUN
ejpam-5729	92	21	)	)	PUNCT
ejpam-5729	92	22	(	(	PUNCT
ejpam-5729	92	23	ω′′′	ω′′′	PROPN
ejpam-5729	92	24	(	(	PUNCT
ejpam-5729	92	25	u	u	NOUN
ejpam-5729	92	26	)	)	PUNCT
ejpam-5729	92	27	)	)	PUNCT
ejpam-5729	92	28	α)′	α)′	PROPN
ejpam-5729	92	29	+	+	NUM
ejpam-5729	92	30	q	q	X
ejpam-5729	92	31	(	(	PUNCT
ejpam-5729	92	32	u)xα	u)xα	PROPN
ejpam-5729	92	33	(	(	PUNCT
ejpam-5729	92	34	ρ	ρ	PROPN
ejpam-5729	92	35	(	(	PUNCT
ejpam-5729	92	36	u	u	NOUN
ejpam-5729	92	37	)	)	PUNCT
ejpam-5729	92	38	)	)	PUNCT
ejpam-5729	93	1	=	=	PUNCT
ejpam-5729	93	2	0	0	X
ejpam-5729	93	3	.	.	PUNCT
ejpam-5729	94	1	(	(	PUNCT
ejpam-5729	94	2	5	5	NUM
ejpam-5729	94	3	)	)	PUNCT
ejpam-5729	94	4	earlier	early	ADV
ejpam-5729	94	5	,	,	PUNCT
ejpam-5729	94	6	agarwal	agarwal	PROPN
ejpam-5729	94	7	et	et	PROPN
ejpam-5729	94	8	al.[2	al.[2	PROPN
ejpam-5729	94	9	]	]	PUNCT
ejpam-5729	94	10	evaluated	evaluate	VERB
ejpam-5729	94	11	the	the	DET
ejpam-5729	94	12	oscillatory	oscillatory	ADJ
ejpam-5729	94	13	behavior	behavior	NOUN
ejpam-5729	94	14	of	of	ADP
ejpam-5729	94	15	the	the	DET
ejpam-5729	94	16	solutions	solution	NOUN
ejpam-5729	94	17	of	of	ADP
ejpam-5729	94	18	the	the	DET
ejpam-5729	94	19	fourth	fourth	ADJ
ejpam-5729	94	20	-	-	PUNCT
ejpam-5729	94	21	order	order	NOUN
ejpam-5729	94	22	functional	functional	ADJ
ejpam-5729	94	23	de	de	NOUN
ejpam-5729	94	24	[	[	PUNCT
ejpam-5729	94	25	a−1	a−1	PROPN
ejpam-5729	94	26	3	3	NUM
ejpam-5729	94	27	(	(	PUNCT
ejpam-5729	94	28	u	u	NOUN
ejpam-5729	94	29	)	)	PUNCT
ejpam-5729	94	30	(	(	PUNCT
ejpam-5729	94	31	[	[	PUNCT
ejpam-5729	94	32	a−1	a−1	PROPN
ejpam-5729	94	33	2	2	NUM
ejpam-5729	94	34	(	(	PUNCT
ejpam-5729	94	35	u	u	NOUN
ejpam-5729	94	36	)	)	PUNCT
ejpam-5729	94	37	(	(	PUNCT
ejpam-5729	94	38	[	[	PUNCT
ejpam-5729	94	39	a−1	a−1	PROPN
ejpam-5729	94	40	1	1	NUM
ejpam-5729	94	41	(	(	PUNCT
ejpam-5729	94	42	u	u	NOUN
ejpam-5729	94	43	)	)	PUNCT
ejpam-5729	94	44	(	(	PUNCT
ejpam-5729	94	45	x′	x′	PROPN
ejpam-5729	94	46	(	(	PUNCT
ejpam-5729	94	47	u	u	NOUN
ejpam-5729	94	48	)	)	PUNCT
ejpam-5729	94	49	)	)	PUNCT
ejpam-5729	94	50	α1	α1	PROPN
ejpam-5729	94	51	]	]	PUNCT
ejpam-5729	94	52	′)α2	′)α2	X
ejpam-5729	94	53	]	]	PUNCT
ejpam-5729	94	54	′)α3	′)α3	X
ejpam-5729	94	55	]	]	PUNCT
ejpam-5729	94	56	′	′	X
ejpam-5729	95	1	+	+	CCONJ
ejpam-5729	95	2	λq	λq	INTJ
ejpam-5729	95	3	(	(	PUNCT
ejpam-5729	95	4	u	u	NOUN
ejpam-5729	95	5	)	)	PUNCT
ejpam-5729	95	6	f	f	PROPN
ejpam-5729	95	7	(	(	PUNCT
ejpam-5729	95	8	x	x	X
ejpam-5729	95	9	(	(	PUNCT
ejpam-5729	95	10	ρ	ρ	PROPN
ejpam-5729	95	11	(	(	PUNCT
ejpam-5729	95	12	u	u	NOUN
ejpam-5729	95	13	)	)	PUNCT
ejpam-5729	95	14	)	)	PUNCT
ejpam-5729	95	15	)	)	PUNCT
ejpam-5729	96	1	=	=	PUNCT
ejpam-5729	96	2	0	0	NUM
ejpam-5729	96	3	,	,	PUNCT
ejpam-5729	96	4	where	where	SCONJ
ejpam-5729	96	5	∫∞	∫∞	NOUN
ejpam-5729	96	6	u0	u0	VERB
ejpam-5729	96	7	a	a	DET
ejpam-5729	96	8	−1	−1	NOUN
ejpam-5729	96	9	/	/	SYM
ejpam-5729	96	10	αi	αi	VERB
ejpam-5729	96	11	i	i	PRON
ejpam-5729	96	12	(	(	PUNCT
ejpam-5729	96	13	ξ	ξ	X
ejpam-5729	96	14	)	)	PUNCT
ejpam-5729	96	15	dξ	dξ	PROPN
ejpam-5729	96	16	→	→	SYM
ejpam-5729	96	17	∞	∞	PROPN
ejpam-5729	96	18	as	as	ADP
ejpam-5729	96	19	u	u	NOUN
ejpam-5729	96	20	→	→	SYM
ejpam-5729	96	21	∞	∞	PROPN
ejpam-5729	96	22	,	,	PUNCT
ejpam-5729	96	23	i	i	PRON
ejpam-5729	96	24	=	=	NOUN
ejpam-5729	96	25	1	1	NUM
ejpam-5729	96	26	,	,	PUNCT
ejpam-5729	96	27	2	2	NUM
ejpam-5729	96	28	,	,	PUNCT
ejpam-5729	96	29	3	3	NUM
ejpam-5729	96	30	,	,	PUNCT
ejpam-5729	96	31	λ	λ	PROPN
ejpam-5729	96	32	=	=	SYM
ejpam-5729	96	33	±1	±1	VERB
ejpam-5729	96	34	,	,	PUNCT
ejpam-5729	96	35	f	f	PROPN
ejpam-5729	96	36	∈	∈	PROPN
ejpam-5729	96	37	c	c	PROPN
ejpam-5729	96	38	(	(	PUNCT
ejpam-5729	96	39	(	(	PUNCT
ejpam-5729	96	40	0,∞	0,∞	NOUN
ejpam-5729	96	41	)	)	PUNCT
ejpam-5729	96	42	,	,	PUNCT
ejpam-5729	96	43	(	(	PUNCT
ejpam-5729	96	44	0,∞	0,∞	NOUN
ejpam-5729	96	45	)	)	PUNCT
ejpam-5729	96	46	)	)	PUNCT
ejpam-5729	96	47	,	,	PUNCT
ejpam-5729	96	48	xf	xf	PROPN
ejpam-5729	96	49	(	(	PUNCT
ejpam-5729	96	50	x	x	X
ejpam-5729	96	51	)	)	PUNCT
ejpam-5729	96	52	>	>	X
ejpam-5729	96	53	0	0	PUNCT
ejpam-5729	96	54	and	and	CCONJ
ejpam-5729	96	55	f	f	PROPN
ejpam-5729	96	56	′	′	NUM
ejpam-5729	96	57	(	(	PUNCT
ejpam-5729	96	58	x	x	X
ejpam-5729	96	59	)	)	PUNCT
ejpam-5729	96	60	≥	≥	NOUN
ejpam-5729	96	61	0	0	NUM
ejpam-5729	96	62	for	for	ADP
ejpam-5729	96	63	x	x	SYM
ejpam-5729	96	64	̸=	̸=	PROPN
ejpam-5729	96	65	0	0	NUM
ejpam-5729	96	66	.	.	PUNCT
ejpam-5729	97	1	very	very	ADV
ejpam-5729	97	2	recently	recently	ADV
ejpam-5729	97	3	,	,	PUNCT
ejpam-5729	97	4	nabih	nabih	PROPN
ejpam-5729	97	5	et	et	PROPN
ejpam-5729	97	6	al	al	PROPN
ejpam-5729	97	7	.	.	PUNCT
ejpam-5729	98	1	[	[	X
ejpam-5729	98	2	36	36	NUM
ejpam-5729	98	3	]	]	PUNCT
ejpam-5729	98	4	concentrated	concentrate	VERB
ejpam-5729	98	5	on	on	ADP
ejpam-5729	98	6	examining	examine	VERB
ejpam-5729	98	7	the	the	DET
ejpam-5729	98	8	oscillation	oscillation	NOUN
ejpam-5729	98	9	of	of	ADP
ejpam-5729	98	10	(	(	PUNCT
ejpam-5729	98	11	5	5	NUM
ejpam-5729	98	12	)	)	PUNCT
ejpam-5729	98	13	;	;	PUNCT
ejpam-5729	98	14	they	they	PRON
ejpam-5729	98	15	discovered	discover	VERB
ejpam-5729	98	16	novel	novel	ADJ
ejpam-5729	98	17	characteristics	characteristic	NOUN
ejpam-5729	98	18	that	that	PRON
ejpam-5729	98	19	allow	allow	VERB
ejpam-5729	98	20	them	they	PRON
ejpam-5729	98	21	to	to	PART
ejpam-5729	98	22	employ	employ	VERB
ejpam-5729	98	23	more	more	ADV
ejpam-5729	98	24	efficient	efficient	ADJ
ejpam-5729	98	25	terms	term	NOUN
ejpam-5729	98	26	.	.	PUNCT
ejpam-5729	99	1	using	use	VERB
ejpam-5729	99	2	the	the	DET
ejpam-5729	99	3	comparison	comparison	NOUN
ejpam-5729	99	4	approach	approach	NOUN
ejpam-5729	99	5	and	and	CCONJ
ejpam-5729	99	6	the	the	DET
ejpam-5729	99	7	generic	generic	ADJ
ejpam-5729	99	8	form	form	NOUN
ejpam-5729	99	9	of	of	ADP
ejpam-5729	99	10	riccati	riccati	NOUN
ejpam-5729	99	11	,	,	PUNCT
ejpam-5729	99	12	they	they	PRON
ejpam-5729	99	13	were	be	AUX
ejpam-5729	99	14	able	able	ADJ
ejpam-5729	99	15	to	to	PART
ejpam-5729	99	16	derive	derive	VERB
ejpam-5729	99	17	criteria	criterion	NOUN
ejpam-5729	99	18	that	that	PRON
ejpam-5729	99	19	eliminated	eliminate	VERB
ejpam-5729	99	20	positive	positive	ADJ
ejpam-5729	99	21	decreasing	decrease	VERB
ejpam-5729	99	22	solutions	solution	NOUN
ejpam-5729	99	23	.	.	PUNCT
ejpam-5729	100	1	lemma	lemma	PROPN
ejpam-5729	100	2	1	1	NUM
ejpam-5729	100	3	.	.	PUNCT
ejpam-5729	101	1	[	[	X
ejpam-5729	101	2	40	40	NUM
ejpam-5729	101	3	]	]	PUNCT
ejpam-5729	101	4	let	let	VERB
ejpam-5729	101	5	ψ	ψ	X
ejpam-5729	101	6	∈	∈	PROPN
ejpam-5729	101	7	cn	cn	X
ejpam-5729	101	8	(	(	PUNCT
ejpam-5729	101	9	[	[	X
ejpam-5729	101	10	u0,∞	u0,∞	NOUN
ejpam-5729	101	11	)	)	PUNCT
ejpam-5729	101	12	,	,	PUNCT
ejpam-5729	101	13	r	r	NOUN
ejpam-5729	101	14	)	)	PUNCT
ejpam-5729	101	15	.	.	PUNCT
ejpam-5729	102	1	if	if	SCONJ
ejpam-5729	102	2	ψ(n	ψ(n	PROPN
ejpam-5729	102	3	)	)	PUNCT
ejpam-5729	102	4	(	(	PUNCT
ejpam-5729	102	5	u	u	NOUN
ejpam-5729	102	6	)	)	PUNCT
ejpam-5729	102	7	is	be	AUX
ejpam-5729	102	8	eventually	eventually	ADV
ejpam-5729	102	9	of	of	ADP
ejpam-5729	102	10	fixed	fix	VERB
ejpam-5729	102	11	sign	sign	NOUN
ejpam-5729	102	12	for	for	ADP
ejpam-5729	102	13	all	all	DET
ejpam-5729	102	14	large	large	ADJ
ejpam-5729	102	15	u	u	NOUN
ejpam-5729	102	16	,	,	PUNCT
ejpam-5729	102	17	then	then	ADV
ejpam-5729	102	18	there	there	PRON
ejpam-5729	102	19	exist	exist	VERB
ejpam-5729	102	20	a	a	DET
ejpam-5729	102	21	ux	ux	PROPN
ejpam-5729	102	22	≥	≥	X
ejpam-5729	102	23	u0	u0	ADJ
ejpam-5729	102	24	and	and	CCONJ
ejpam-5729	102	25	a	a	DET
ejpam-5729	102	26	µ	µ	NOUN
ejpam-5729	102	27	,	,	PUNCT
ejpam-5729	102	28	0	0	NUM
ejpam-5729	102	29	≤	≤	NUM
ejpam-5729	102	30	µ	µ	X
ejpam-5729	102	31	≤	≤	NOUN
ejpam-5729	102	32	n	n	CCONJ
ejpam-5729	102	33	,	,	PUNCT
ejpam-5729	102	34	with	with	ADP
ejpam-5729	102	35	n+	n+	NUM
ejpam-5729	102	36	µ	µ	NOUN
ejpam-5729	102	37	even	even	ADV
ejpam-5729	102	38	for	for	ADP
ejpam-5729	102	39	the	the	DET
ejpam-5729	102	40	derivative	derivative	ADJ
ejpam-5729	102	41	ψ(n	ψ(n	PROPN
ejpam-5729	102	42	)	)	PUNCT
ejpam-5729	102	43	(	(	PUNCT
ejpam-5729	102	44	u	u	NOUN
ejpam-5729	102	45	)	)	PUNCT
ejpam-5729	102	46	≥	≥	NOUN
ejpam-5729	102	47	0	0	NUM
ejpam-5729	102	48	,	,	PUNCT
ejpam-5729	102	49	or	or	CCONJ
ejpam-5729	102	50	n+	n+	NUM
ejpam-5729	102	51	µ	µ	X
ejpam-5729	102	52	odd	odd	ADJ
ejpam-5729	102	53	for	for	ADP
ejpam-5729	102	54	the	the	DET
ejpam-5729	102	55	derivative	derivative	ADJ
ejpam-5729	102	56	ψ(n	ψ(n	PROPN
ejpam-5729	102	57	)	)	PUNCT
ejpam-5729	102	58	(	(	PUNCT
ejpam-5729	102	59	u	u	NOUN
ejpam-5729	102	60	)	)	PUNCT
ejpam-5729	102	61	≤	≤	NOUN
ejpam-5729	102	62	0	0	NUM
ejpam-5729	102	63	such	such	ADJ
ejpam-5729	102	64	that	that	SCONJ
ejpam-5729	102	65	(	(	PUNCT
ejpam-5729	102	66	i	i	NOUN
ejpam-5729	102	67	)	)	PUNCT
ejpam-5729	102	68	µ	µ	X
ejpam-5729	102	69	>	>	SYM
ejpam-5729	102	70	0	0	NUM
ejpam-5729	102	71	implies	imply	VERB
ejpam-5729	102	72	ψ(κ	ψ(κ	PROPN
ejpam-5729	102	73	)	)	PUNCT
ejpam-5729	102	74	(	(	PUNCT
ejpam-5729	102	75	u	u	NOUN
ejpam-5729	102	76	)	)	PUNCT
ejpam-5729	102	77	>	>	X
ejpam-5729	102	78	0	0	PUNCT
ejpam-5729	103	1	for	for	SCONJ
ejpam-5729	103	2	u	u	PROPN
ejpam-5729	103	3	≥	≥	PROPN
ejpam-5729	103	4	ux	ux	PROPN
ejpam-5729	103	5	,	,	PUNCT
ejpam-5729	103	6	κ	κ	X
ejpam-5729	103	7	=	=	SYM
ejpam-5729	103	8	0	0	NUM
ejpam-5729	103	9	,	,	PUNCT
ejpam-5729	103	10	1	1	NUM
ejpam-5729	103	11	,	,	PUNCT
ejpam-5729	103	12	...	...	PUNCT
ejpam-5729	103	13	,	,	PUNCT
ejpam-5729	103	14	µ−	µ−	PROPN
ejpam-5729	103	15	1	1	NUM
ejpam-5729	103	16	;	;	PUNCT
ejpam-5729	103	17	(	(	PUNCT
ejpam-5729	103	18	ii	ii	NOUN
ejpam-5729	103	19	)	)	PUNCT
ejpam-5729	103	20	µ	µ	PROPN
ejpam-5729	103	21	≤	≤	NUM
ejpam-5729	103	22	n−	n−	NOUN
ejpam-5729	103	23	1	1	NUM
ejpam-5729	103	24	implies	imply	VERB
ejpam-5729	103	25	(	(	PUNCT
ejpam-5729	103	26	−1)µ+κψ(κ	−1)µ+κψ(κ	NOUN
ejpam-5729	103	27	)	)	PUNCT
ejpam-5729	103	28	(	(	PUNCT
ejpam-5729	103	29	u	u	NOUN
ejpam-5729	103	30	)	)	PUNCT
ejpam-5729	103	31	>	>	X
ejpam-5729	103	32	0	0	PUNCT
ejpam-5729	104	1	for	for	ADP
ejpam-5729	104	2	u	u	PROPN
ejpam-5729	104	3	≥	≥	PROPN
ejpam-5729	104	4	ux	ux	PROPN
ejpam-5729	104	5	,	,	PUNCT
ejpam-5729	104	6	κ	κ	PROPN
ejpam-5729	104	7	=	=	SYM
ejpam-5729	104	8	µ	µ	PROPN
ejpam-5729	104	9	,	,	PUNCT
ejpam-5729	104	10	µ+	µ+	X
ejpam-5729	104	11	1	1	NUM
ejpam-5729	104	12	,	,	PUNCT
ejpam-5729	104	13	...	...	PUNCT
ejpam-5729	104	14	,	,	PUNCT
ejpam-5729	104	15	n−	n−	NOUN
ejpam-5729	104	16	1	1	NUM
ejpam-5729	104	17	.	.	PUNCT
ejpam-5729	104	18	lemma	lemma	PROPN
ejpam-5729	104	19	2	2	NUM
ejpam-5729	104	20	.	.	PUNCT
ejpam-5729	105	1	[	[	X
ejpam-5729	105	2	31	31	NUM
ejpam-5729	105	3	,	,	PUNCT
ejpam-5729	105	4	lemma	lemma	PROPN
ejpam-5729	105	5	2.1	2.1	NUM
ejpam-5729	105	6	]	]	PUNCT
ejpam-5729	105	7	suppose	suppose	VERB
ejpam-5729	105	8	that	that	SCONJ
ejpam-5729	105	9	there	there	PRON
ejpam-5729	105	10	is	be	VERB
ejpam-5729	105	11	an	an	DET
ejpam-5729	105	12	eventual	eventual	ADJ
ejpam-5729	105	13	positive	positive	ADJ
ejpam-5729	105	14	solution	solution	NOUN
ejpam-5729	105	15	to	to	ADP
ejpam-5729	105	16	(	(	PUNCT
ejpam-5729	105	17	1	1	NUM
ejpam-5729	105	18	)	)	PUNCT
ejpam-5729	105	19	for	for	ADP
ejpam-5729	105	20	x	x	SYM
ejpam-5729	105	21	(	(	PUNCT
ejpam-5729	105	22	u	u	NOUN
ejpam-5729	105	23	)	)	PUNCT
ejpam-5729	105	24	.	.	PUNCT
ejpam-5729	106	1	then	then	ADV
ejpam-5729	106	2	,	,	PUNCT
ejpam-5729	106	3	eventually	eventually	ADV
ejpam-5729	106	4	x	x	X
ejpam-5729	106	5	(	(	PUNCT
ejpam-5729	106	6	u	u	NOUN
ejpam-5729	106	7	)	)	PUNCT
ejpam-5729	106	8	>	>	PUNCT
ejpam-5729	106	9	γ∑	γ∑	PROPN
ejpam-5729	106	10	t=0	t=0	PROPN
ejpam-5729	106	11	(	(	PUNCT
ejpam-5729	106	12	2t∏	2t∏	NUM
ejpam-5729	106	13	m=0	m=0	PROPN
ejpam-5729	106	14	h	h	PROPN
ejpam-5729	106	15	(	(	PUNCT
ejpam-5729	106	16	κ(m	κ(m	PROPN
ejpam-5729	106	17	)	)	PUNCT
ejpam-5729	106	18	(	(	PUNCT
ejpam-5729	106	19	u	u	NOUN
ejpam-5729	106	20	)	)	PUNCT
ejpam-5729	106	21	)	)	PUNCT
ejpam-5729	106	22	)	)	PUNCT
ejpam-5729	107	1	[	[	X
ejpam-5729	107	2	ω	ω	X
ejpam-5729	107	3	(	(	PUNCT
ejpam-5729	107	4	κ(2	κ(2	PROPN
ejpam-5729	107	5	t	t	PROPN
ejpam-5729	107	6	)	)	PUNCT
ejpam-5729	107	7	(	(	PUNCT
ejpam-5729	107	8	u	u	NOUN
ejpam-5729	107	9	)	)	PUNCT
ejpam-5729	107	10	)	)	PUNCT
ejpam-5729	107	11	h	h	NOUN
ejpam-5729	107	12	(	(	PUNCT
ejpam-5729	107	13	κ(2	κ(2	PROPN
ejpam-5729	107	14	t	t	PROPN
ejpam-5729	107	15	)	)	PUNCT
ejpam-5729	107	16	(	(	PUNCT
ejpam-5729	107	17	u	u	NOUN
ejpam-5729	107	18	)	)	PUNCT
ejpam-5729	107	19	)	)	PUNCT
ejpam-5729	108	1	−	−	PROPN
ejpam-5729	108	2	ω	ω	INTJ
ejpam-5729	108	3	(	(	PUNCT
ejpam-5729	108	4	κ(2t+1	κ(2t+1	NUM
ejpam-5729	108	5	)	)	PUNCT
ejpam-5729	108	6	(	(	PUNCT
ejpam-5729	108	7	u	u	NOUN
ejpam-5729	108	8	)	)	PUNCT
ejpam-5729	108	9	)	)	PUNCT
ejpam-5729	108	10	]	]	PUNCT
ejpam-5729	108	11	,	,	PUNCT
ejpam-5729	108	12	(	(	PUNCT
ejpam-5729	108	13	6	6	NUM
ejpam-5729	108	14	)	)	PUNCT
ejpam-5729	108	15	for	for	ADP
ejpam-5729	108	16	any	any	DET
ejpam-5729	108	17	integer	integer	NOUN
ejpam-5729	108	18	γ	γ	X
ejpam-5729	108	19	≥	≥	NUM
ejpam-5729	108	20	0	0	NUM
ejpam-5729	108	21	.	.	PUNCT
ejpam-5729	109	1	this	this	DET
ejpam-5729	109	2	search	search	NOUN
ejpam-5729	109	3	is	be	AUX
ejpam-5729	109	4	intended	intend	VERB
ejpam-5729	109	5	to	to	PART
ejpam-5729	109	6	look	look	VERB
ejpam-5729	109	7	into	into	ADP
ejpam-5729	109	8	the	the	DET
ejpam-5729	109	9	oscillatory	oscillatory	ADJ
ejpam-5729	109	10	behavior	behavior	NOUN
ejpam-5729	109	11	of	of	ADP
ejpam-5729	109	12	solutions	solution	NOUN
ejpam-5729	109	13	to	to	ADP
ejpam-5729	109	14	nddes	ndde	NOUN
ejpam-5729	109	15	of	of	ADP
ejpam-5729	109	16	the	the	DET
ejpam-5729	109	17	fourth	fourth	ADJ
ejpam-5729	109	18	order	order	NOUN
ejpam-5729	109	19	.	.	PUNCT
ejpam-5729	110	1	any	any	DET
ejpam-5729	110	2	functional	functional	ADJ
ejpam-5729	110	3	differential	differential	NOUN
ejpam-5729	110	4	equation	equation	NOUN
ejpam-5729	110	5	has	have	VERB
ejpam-5729	110	6	three	three	NUM
ejpam-5729	110	7	types	type	NOUN
ejpam-5729	110	8	of	of	ADP
ejpam-5729	110	9	solutions	solution	NOUN
ejpam-5729	110	10	:	:	PUNCT
ejpam-5729	110	11	oscillatory	oscillatory	ADJ
ejpam-5729	110	12	,	,	PUNCT
ejpam-5729	110	13	negative	negative	ADJ
ejpam-5729	110	14	,	,	PUNCT
ejpam-5729	110	15	and	and	CCONJ
ejpam-5729	110	16	positive	positive	ADJ
ejpam-5729	110	17	.	.	PUNCT
ejpam-5729	111	1	as	as	SCONJ
ejpam-5729	111	2	we	we	PRON
ejpam-5729	111	3	know	know	VERB
ejpam-5729	111	4	,	,	PUNCT
ejpam-5729	111	5	negative	negative	ADJ
ejpam-5729	111	6	solutions	solution	NOUN
ejpam-5729	111	7	are	be	AUX
ejpam-5729	111	8	thus	thus	ADV
ejpam-5729	111	9	disregarded	disregard	VERB
ejpam-5729	111	10	due	due	ADP
ejpam-5729	111	11	to	to	ADP
ejpam-5729	111	12	the	the	DET
ejpam-5729	111	13	symmetry	symmetry	NOUN
ejpam-5729	111	14	between	between	ADP
ejpam-5729	111	15	the	the	DET
ejpam-5729	111	16	solutions	solution	NOUN
ejpam-5729	111	17	(	(	PUNCT
ejpam-5729	111	18	the	the	DET
ejpam-5729	111	19	positive	positive	ADJ
ejpam-5729	111	20	and	and	CCONJ
ejpam-5729	111	21	the	the	DET
ejpam-5729	111	22	negative	negative	ADJ
ejpam-5729	111	23	)	)	PUNCT
ejpam-5729	111	24	of	of	ADP
ejpam-5729	111	25	the	the	DET
ejpam-5729	111	26	investigated	investigate	VERB
ejpam-5729	111	27	equation	equation	NOUN
ejpam-5729	111	28	.	.	PUNCT
ejpam-5729	112	1	the	the	DET
ejpam-5729	112	2	novelty	novelty	NOUN
ejpam-5729	112	3	of	of	ADP
ejpam-5729	112	4	the	the	DET
ejpam-5729	112	5	paper	paper	NOUN
ejpam-5729	112	6	lies	lie	VERB
ejpam-5729	112	7	in	in	ADP
ejpam-5729	112	8	the	the	DET
ejpam-5729	112	9	demonstrated	demonstrate	VERB
ejpam-5729	112	10	improved	improved	ADJ
ejpam-5729	112	11	relationships	relationship	NOUN
ejpam-5729	112	12	and	and	CCONJ
ejpam-5729	112	13	features	feature	NOUN
ejpam-5729	112	14	between	between	ADP
ejpam-5729	112	15	the	the	DET
ejpam-5729	112	16	corresponding	correspond	VERB
ejpam-5729	112	17	function	function	NOUN
ejpam-5729	112	18	and	and	CCONJ
ejpam-5729	112	19	the	the	DET
ejpam-5729	112	20	solution	solution	NOUN
ejpam-5729	112	21	;	;	PUNCT
ejpam-5729	112	22	these	these	DET
ejpam-5729	112	23	relationships	relationship	NOUN
ejpam-5729	112	24	affect	affect	VERB
ejpam-5729	112	25	the	the	DET
ejpam-5729	112	26	oscillation	oscillation	NOUN
ejpam-5729	112	27	criteria	criterion	NOUN
ejpam-5729	112	28	,	,	PUNCT
ejpam-5729	112	29	and	and	CCONJ
ejpam-5729	112	30	improving	improve	VERB
ejpam-5729	112	31	them	they	PRON
ejpam-5729	112	32	leads	lead	VERB
ejpam-5729	112	33	to	to	ADP
ejpam-5729	112	34	improving	improve	VERB
ejpam-5729	112	35	these	these	DET
ejpam-5729	112	36	criteria	criterion	NOUN
ejpam-5729	112	37	.	.	PUNCT
ejpam-5729	113	1	the	the	DET
ejpam-5729	113	2	new	new	ADJ
ejpam-5729	113	3	criteria	criterion	NOUN
ejpam-5729	113	4	ensure	ensure	VERB
ejpam-5729	113	5	that	that	SCONJ
ejpam-5729	113	6	all	all	DET
ejpam-5729	113	7	solutions	solution	NOUN
ejpam-5729	113	8	of	of	ADP
ejpam-5729	113	9	the	the	DET
ejpam-5729	113	10	studied	study	VERB
ejpam-5729	113	11	equation	equation	NOUN
ejpam-5729	113	12	are	be	AUX
ejpam-5729	113	13	oscillatory	oscillatory	ADJ
ejpam-5729	113	14	based	base	VERB
ejpam-5729	113	15	on	on	ADP
ejpam-5729	113	16	the	the	DET
ejpam-5729	113	17	comparison	comparison	NOUN
ejpam-5729	113	18	principle	principle	NOUN
ejpam-5729	113	19	with	with	ADP
ejpam-5729	113	20	first	first	ADJ
ejpam-5729	113	21	-	-	PUNCT
ejpam-5729	113	22	order	order	NOUN
ejpam-5729	113	23	differential	differential	ADJ
ejpam-5729	113	24	equations	equation	NOUN
ejpam-5729	113	25	.	.	PUNCT
ejpam-5729	114	1	it	it	PRON
ejpam-5729	114	2	should	should	AUX
ejpam-5729	114	3	be	be	AUX
ejpam-5729	114	4	noted	note	VERB
ejpam-5729	114	5	that	that	SCONJ
ejpam-5729	114	6	if	if	SCONJ
ejpam-5729	114	7	all	all	DET
ejpam-5729	114	8	the	the	DET
ejpam-5729	114	9	solutions	solution	NOUN
ejpam-5729	114	10	of	of	ADP
ejpam-5729	114	11	the	the	DET
ejpam-5729	114	12	equation	equation	NOUN
ejpam-5729	114	13	are	be	AUX
ejpam-5729	114	14	oscillatory	oscillatory	ADJ
ejpam-5729	114	15	,	,	PUNCT
ejpam-5729	114	16	this	this	PRON
ejpam-5729	114	17	means	mean	VERB
ejpam-5729	114	18	that	that	SCONJ
ejpam-5729	114	19	the	the	DET
ejpam-5729	114	20	equation	equation	NOUN
ejpam-5729	114	21	itself	itself	PRON
ejpam-5729	114	22	is	be	AUX
ejpam-5729	114	23	an	an	DET
ejpam-5729	114	24	oscillatory	oscillatory	ADJ
ejpam-5729	114	25	equation	equation	NOUN
ejpam-5729	114	26	.	.	PUNCT
ejpam-5729	115	1	the	the	DET
ejpam-5729	115	2	findings	finding	NOUN
ejpam-5729	115	3	discovered	discover	VERB
ejpam-5729	115	4	complement	complement	VERB
ejpam-5729	115	5	several	several	ADJ
ejpam-5729	115	6	well	well	ADV
ejpam-5729	115	7	-	-	PUNCT
ejpam-5729	115	8	known	know	VERB
ejpam-5729	115	9	in	in	ADP
ejpam-5729	115	10	the	the	DET
ejpam-5729	115	11	literature	literature	NOUN
ejpam-5729	115	12	.	.	PUNCT
ejpam-5729	116	1	w.	w.	PROPN
ejpam-5729	116	2	muhsin	muhsin	PROPN
ejpam-5729	116	3	et	et	PROPN
ejpam-5729	116	4	al	al	PROPN
ejpam-5729	116	5	.	.	PUNCT
ejpam-5729	116	6	/	/	SYM
ejpam-5729	116	7	eur	eur	PROPN
ejpam-5729	116	8	.	.	PUNCT
ejpam-5729	117	1	j.	j.	PROPN
ejpam-5729	117	2	pure	pure	PROPN
ejpam-5729	117	3	appl	appl	PROPN
ejpam-5729	117	4	.	.	PROPN
ejpam-5729	117	5	math	math	PROPN
ejpam-5729	117	6	,	,	PUNCT
ejpam-5729	117	7	18	18	NUM
ejpam-5729	117	8	(	(	PUNCT
ejpam-5729	117	9	1	1	NUM
ejpam-5729	117	10	)	)	PUNCT
ejpam-5729	117	11	(	(	PUNCT
ejpam-5729	117	12	2025	2025	NUM
ejpam-5729	117	13	)	)	PUNCT
ejpam-5729	117	14	,	,	PUNCT
ejpam-5729	117	15	5729	5729	NUM
ejpam-5729	117	16	6	6	NUM
ejpam-5729	117	17	of	of	ADP
ejpam-5729	117	18	17	17	NUM
ejpam-5729	117	19	this	this	PRON
ejpam-5729	117	20	is	be	AUX
ejpam-5729	117	21	how	how	SCONJ
ejpam-5729	117	22	our	our	PRON
ejpam-5729	117	23	paper	paper	NOUN
ejpam-5729	117	24	will	will	AUX
ejpam-5729	117	25	be	be	AUX
ejpam-5729	117	26	structured	structure	VERB
ejpam-5729	117	27	:	:	PUNCT
ejpam-5729	117	28	in	in	ADP
ejpam-5729	117	29	section	section	NOUN
ejpam-5729	117	30	2.1	2.1	NUM
ejpam-5729	117	31	,	,	PUNCT
ejpam-5729	117	32	by	by	ADP
ejpam-5729	117	33	using	use	VERB
ejpam-5729	117	34	the	the	DET
ejpam-5729	117	35	comparison	comparison	NOUN
ejpam-5729	117	36	principle	principle	NOUN
ejpam-5729	117	37	with	with	ADP
ejpam-5729	117	38	first	first	ADJ
ejpam-5729	117	39	-	-	PUNCT
ejpam-5729	117	40	order	order	NOUN
ejpam-5729	117	41	equations	equation	NOUN
ejpam-5729	117	42	,	,	PUNCT
ejpam-5729	117	43	we	we	PRON
ejpam-5729	117	44	introduce	introduce	VERB
ejpam-5729	117	45	oscillation	oscillation	NOUN
ejpam-5729	117	46	criteria	criterion	NOUN
ejpam-5729	117	47	,	,	PUNCT
ejpam-5729	117	48	where	where	SCONJ
ejpam-5729	117	49	the	the	DET
ejpam-5729	117	50	classical	classical	ADJ
ejpam-5729	117	51	relationship	relationship	NOUN
ejpam-5729	117	52	that	that	PRON
ejpam-5729	117	53	links	link	VERB
ejpam-5729	117	54	the	the	DET
ejpam-5729	117	55	solution	solution	NOUN
ejpam-5729	117	56	x	x	INTJ
ejpam-5729	117	57	(	(	PUNCT
ejpam-5729	117	58	u	u	NOUN
ejpam-5729	117	59	)	)	PUNCT
ejpam-5729	117	60	to	to	ADP
ejpam-5729	117	61	its	its	PRON
ejpam-5729	117	62	corresponding	correspond	VERB
ejpam-5729	117	63	function	function	NOUN
ejpam-5729	117	64	ω	ω	PROPN
ejpam-5729	117	65	(	(	PUNCT
ejpam-5729	117	66	u	u	NOUN
ejpam-5729	117	67	)	)	PUNCT
ejpam-5729	117	68	has	have	AUX
ejpam-5729	117	69	been	be	AUX
ejpam-5729	117	70	applied	apply	VERB
ejpam-5729	117	71	.	.	PUNCT
ejpam-5729	118	1	in	in	ADP
ejpam-5729	118	2	section	section	NOUN
ejpam-5729	118	3	2.2	2.2	NUM
ejpam-5729	118	4	,	,	PUNCT
ejpam-5729	118	5	we	we	PRON
ejpam-5729	118	6	present	present	VERB
ejpam-5729	118	7	the	the	DET
ejpam-5729	118	8	improved	improved	ADJ
ejpam-5729	118	9	criteria	criterion	NOUN
ejpam-5729	118	10	,	,	PUNCT
ejpam-5729	118	11	which	which	PRON
ejpam-5729	118	12	apply	apply	VERB
ejpam-5729	118	13	the	the	DET
ejpam-5729	118	14	new	new	ADJ
ejpam-5729	118	15	improved	improved	ADJ
ejpam-5729	118	16	relationship	relationship	NOUN
ejpam-5729	118	17	between	between	ADP
ejpam-5729	118	18	the	the	DET
ejpam-5729	118	19	corresponding	correspond	VERB
ejpam-5729	118	20	function	function	NOUN
ejpam-5729	118	21	and	and	CCONJ
ejpam-5729	118	22	the	the	DET
ejpam-5729	118	23	solution	solution	NOUN
ejpam-5729	118	24	.	.	PUNCT
ejpam-5729	119	1	2	2	X
ejpam-5729	119	2	.	.	X
ejpam-5729	119	3	comparison	comparison	NOUN
ejpam-5729	119	4	with	with	ADP
ejpam-5729	119	5	first	first	ADJ
ejpam-5729	119	6	order	order	NOUN
ejpam-5729	119	7	equations	equation	NOUN
ejpam-5729	119	8	2.1	2.1	NUM
ejpam-5729	119	9	.	.	PUNCT
ejpam-5729	120	1	oscillation	oscillation	NOUN
ejpam-5729	120	2	criteria	criterion	NOUN
ejpam-5729	120	3	for	for	ADP
ejpam-5729	120	4	the	the	DET
ejpam-5729	120	5	purpose	purpose	NOUN
ejpam-5729	120	6	of	of	ADP
ejpam-5729	120	7	clarity	clarity	NOUN
ejpam-5729	120	8	,	,	PUNCT
ejpam-5729	120	9	let	let	VERB
ejpam-5729	120	10	ii	ii	PROPN
ejpam-5729	120	11	(	(	PUNCT
ejpam-5729	120	12	u	u	NOUN
ejpam-5729	120	13	)	)	PUNCT
ejpam-5729	120	14	:	:	PUNCT
ejpam-5729	121	1	=	=	SYM
ejpam-5729	121	2	∫	∫	PROPN
ejpam-5729	121	3	u	u	NOUN
ejpam-5729	121	4	u0	u0	PROPN
ejpam-5729	121	5	1	1	NUM
ejpam-5729	121	6	ai	ai	NOUN
ejpam-5729	121	7	(	(	PUNCT
ejpam-5729	121	8	ξ	ξ	NOUN
ejpam-5729	121	9	)	)	PUNCT
ejpam-5729	121	10	dξ	dξ	PROPN
ejpam-5729	121	11	,	,	PUNCT
ejpam-5729	121	12	iij	iij	NOUN
ejpam-5729	121	13	(	(	PUNCT
ejpam-5729	121	14	u	u	NOUN
ejpam-5729	121	15	)	)	PUNCT
ejpam-5729	121	16	:	:	PUNCT
ejpam-5729	122	1	=	=	SYM
ejpam-5729	122	2	∫	∫	PROPN
ejpam-5729	122	3	u	u	NOUN
ejpam-5729	122	4	u0	u0	PROPN
ejpam-5729	122	5	1	1	NUM
ejpam-5729	122	6	ai	ai	NOUN
ejpam-5729	122	7	(	(	PUNCT
ejpam-5729	122	8	ξ	ξ	NOUN
ejpam-5729	122	9	)	)	PUNCT
ejpam-5729	122	10	ij	ij	NOUN
ejpam-5729	122	11	(	(	PUNCT
ejpam-5729	122	12	ξ	ξ	NOUN
ejpam-5729	122	13	)	)	PUNCT
ejpam-5729	122	14	dξ	dξ	PROPN
ejpam-5729	122	15	,	,	PUNCT
ejpam-5729	122	16	iijk	iijk	X
ejpam-5729	122	17	(	(	PUNCT
ejpam-5729	122	18	u	u	NOUN
ejpam-5729	122	19	)	)	PUNCT
ejpam-5729	122	20	:	:	PUNCT
ejpam-5729	123	1	=	=	SYM
ejpam-5729	123	2	∫	∫	PROPN
ejpam-5729	123	3	u	u	NOUN
ejpam-5729	123	4	u0	u0	PROPN
ejpam-5729	123	5	1	1	NUM
ejpam-5729	123	6	ai	ai	NOUN
ejpam-5729	123	7	(	(	PUNCT
ejpam-5729	123	8	ξ	ξ	NOUN
ejpam-5729	123	9	)	)	PUNCT
ejpam-5729	123	10	ijk	ijk	X
ejpam-5729	123	11	(	(	PUNCT
ejpam-5729	123	12	ξ	ξ	PROPN
ejpam-5729	123	13	)	)	PUNCT
ejpam-5729	123	14	dξ	dξ	VERB
ejpam-5729	123	15	where	where	SCONJ
ejpam-5729	123	16	i	i	PRON
ejpam-5729	123	17	,	,	PUNCT
ejpam-5729	123	18	j	j	PROPN
ejpam-5729	123	19	,	,	PUNCT
ejpam-5729	123	20	k	k	PROPN
ejpam-5729	123	21	∈	∈	PROPN
ejpam-5729	123	22	{	{	PUNCT
ejpam-5729	123	23	1	1	NUM
ejpam-5729	123	24	,	,	PUNCT
ejpam-5729	123	25	2	2	NUM
ejpam-5729	123	26	,	,	PUNCT
ejpam-5729	123	27	3	3	NUM
ejpam-5729	123	28	}	}	PUNCT
ejpam-5729	123	29	,	,	PUNCT
ejpam-5729	123	30	q	q	X
ejpam-5729	123	31	(	(	PUNCT
ejpam-5729	123	32	u	u	NOUN
ejpam-5729	123	33	)	)	PUNCT
ejpam-5729	123	34	:	:	PUNCT
ejpam-5729	123	35	=	=	SYM
ejpam-5729	123	36	(	(	PUNCT
ejpam-5729	123	37	1−	1−	NUM
ejpam-5729	123	38	h	h	NOUN
ejpam-5729	123	39	(	(	PUNCT
ejpam-5729	123	40	ρ	ρ	PROPN
ejpam-5729	123	41	(	(	PUNCT
ejpam-5729	123	42	u	u	NOUN
ejpam-5729	123	43	)	)	PUNCT
ejpam-5729	123	44	)	)	PUNCT
ejpam-5729	123	45	)	)	PUNCT
ejpam-5729	123	46	q	q	NOUN
ejpam-5729	123	47	(	(	PUNCT
ejpam-5729	123	48	u	u	NOUN
ejpam-5729	123	49	)	)	PUNCT
ejpam-5729	123	50	,	,	PUNCT
ejpam-5729	123	51	r1	r1	PROPN
ejpam-5729	123	52	(	(	PUNCT
ejpam-5729	123	53	u	u	NOUN
ejpam-5729	123	54	)	)	PUNCT
ejpam-5729	123	55	:	:	PUNCT
ejpam-5729	123	56	=	=	SYM
ejpam-5729	123	57	(	(	PUNCT
ejpam-5729	123	58	1	1	NUM
ejpam-5729	123	59	a2	a2	PROPN
ejpam-5729	123	60	(	(	PUNCT
ejpam-5729	123	61	u	u	NOUN
ejpam-5729	123	62	)	)	PUNCT
ejpam-5729	123	63	∫	∫	PROPN
ejpam-5729	123	64	∞	∞	PROPN
ejpam-5729	123	65	u	u	PROPN
ejpam-5729	123	66	1	1	NUM
ejpam-5729	123	67	a3	a3	NOUN
ejpam-5729	123	68	(	(	PUNCT
ejpam-5729	123	69	ξ	ξ	NOUN
ejpam-5729	123	70	)	)	PUNCT
ejpam-5729	123	71	∫	∫	PROPN
ejpam-5729	123	72	∞	∞	NUM
ejpam-5729	123	73	v	v	PROPN
ejpam-5729	123	74	q	q	NOUN
ejpam-5729	123	75	(	(	PUNCT
ejpam-5729	123	76	v	v	NOUN
ejpam-5729	123	77	)	)	PUNCT
ejpam-5729	123	78	dvdξ	dvdξ	NOUN
ejpam-5729	123	79	)	)	PUNCT
ejpam-5729	123	80	∫	∫	PROPN
ejpam-5729	123	81	ρ(u	ρ(u	PROPN
ejpam-5729	123	82	)	)	PUNCT
ejpam-5729	123	83	u1	u1	NOUN
ejpam-5729	123	84	1	1	NUM
ejpam-5729	123	85	a1	a1	NOUN
ejpam-5729	123	86	(	(	PUNCT
ejpam-5729	123	87	v	v	NOUN
ejpam-5729	123	88	)	)	PUNCT
ejpam-5729	123	89	dv	dv	PROPN
ejpam-5729	123	90	,	,	PUNCT
ejpam-5729	123	91	and	and	CCONJ
ejpam-5729	123	92	r2	r2	PROPN
ejpam-5729	123	93	(	(	PUNCT
ejpam-5729	123	94	u	u	NOUN
ejpam-5729	123	95	)	)	PUNCT
ejpam-5729	123	96	:	:	PUNCT
ejpam-5729	123	97	=	=	SYM
ejpam-5729	123	98	q	q	X
ejpam-5729	123	99	(	(	PUNCT
ejpam-5729	123	100	u	u	NOUN
ejpam-5729	123	101	)	)	PUNCT
ejpam-5729	123	102	∫	∫	PROPN
ejpam-5729	123	103	u	u	PROPN
ejpam-5729	123	104	u1	u1	PROPN
ejpam-5729	123	105	1	1	NUM
ejpam-5729	123	106	a1	a1	NOUN
ejpam-5729	123	107	(	(	PUNCT
ejpam-5729	123	108	v1	v1	NOUN
ejpam-5729	123	109	)	)	PUNCT
ejpam-5729	123	110	∫	∫	PROPN
ejpam-5729	123	111	v1	v1	PROPN
ejpam-5729	123	112	u1	u1	NOUN
ejpam-5729	123	113	1	1	NUM
ejpam-5729	123	114	a2	a2	PROPN
ejpam-5729	123	115	(	(	PUNCT
ejpam-5729	123	116	ξ	ξ	NOUN
ejpam-5729	123	117	)	)	PUNCT
ejpam-5729	123	118	∫	∫	PROPN
ejpam-5729	123	119	v	v	NUM
ejpam-5729	123	120	u1	u1	PROPN
ejpam-5729	123	121	1	1	NUM
ejpam-5729	123	122	a3	a3	NOUN
ejpam-5729	123	123	(	(	PUNCT
ejpam-5729	123	124	v	v	NOUN
ejpam-5729	123	125	)	)	PUNCT
ejpam-5729	123	126	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	123	127	,	,	PUNCT
ejpam-5729	123	128	for	for	ADP
ejpam-5729	123	129	any	any	DET
ejpam-5729	123	130	integer	integer	NOUN
ejpam-5729	123	131	u	u	PROPN
ejpam-5729	123	132	≥	≥	NOUN
ejpam-5729	123	133	u1	u1	PROPN
ejpam-5729	123	134	,	,	PUNCT
ejpam-5729	123	135	where	where	SCONJ
ejpam-5729	123	136	u1	u1	PROPN
ejpam-5729	123	137	≥	≥	PRON
ejpam-5729	123	138	u0	u0	PROPN
ejpam-5729	123	139	.	.	PUNCT
ejpam-5729	124	1	lemma	lemma	PROPN
ejpam-5729	124	2	3	3	X
ejpam-5729	124	3	.	.	PUNCT
ejpam-5729	125	1	let	let	VERB
ejpam-5729	125	2	condition	condition	NOUN
ejpam-5729	125	3	(	(	PUNCT
ejpam-5729	125	4	2	2	X
ejpam-5729	125	5	)	)	PUNCT
ejpam-5729	125	6	hold	hold	VERB
ejpam-5729	125	7	and	and	CCONJ
ejpam-5729	125	8	x	x	SYM
ejpam-5729	125	9	(	(	PUNCT
ejpam-5729	125	10	u	u	NOUN
ejpam-5729	125	11	)	)	PUNCT
ejpam-5729	125	12	be	be	AUX
ejpam-5729	125	13	an	an	DET
ejpam-5729	125	14	eventually	eventually	ADV
ejpam-5729	125	15	positive	positive	ADJ
ejpam-5729	125	16	to	to	ADP
ejpam-5729	125	17	(	(	PUNCT
ejpam-5729	125	18	1	1	NUM
ejpam-5729	125	19	)	)	PUNCT
ejpam-5729	125	20	.	.	PUNCT
ejpam-5729	126	1	then	then	ADV
ejpam-5729	126	2	,	,	PUNCT
ejpam-5729	126	3	(	(	PUNCT
ejpam-5729	126	4	a3(a2(a1ω	a3(a2(a1ω	PROPN
ejpam-5729	126	5	′)′)′)′	′)′)′)′	ADV
ejpam-5729	126	6	(	(	PUNCT
ejpam-5729	126	7	u	u	NOUN
ejpam-5729	126	8	)	)	PUNCT
ejpam-5729	126	9	≤	≤	NOUN
ejpam-5729	126	10	0	0	NUM
ejpam-5729	126	11	and	and	CCONJ
ejpam-5729	126	12	either	either	CCONJ
ejpam-5729	126	13	ω	ω	PROPN
ejpam-5729	126	14	(	(	PUNCT
ejpam-5729	126	15	u	u	NOUN
ejpam-5729	126	16	)	)	PUNCT
ejpam-5729	126	17	∈	∈	PROPN
ejpam-5729	126	18	l−	l−	NOUN
ejpam-5729	126	19	⇐	⇐	PROPN
ejpam-5729	126	20	⇒	⇒	PROPN
ejpam-5729	126	21	ω	ω	PROPN
ejpam-5729	126	22	(	(	PUNCT
ejpam-5729	126	23	u	u	NOUN
ejpam-5729	126	24	)	)	PUNCT
ejpam-5729	126	25	>	>	X
ejpam-5729	126	26	0	0	NUM
ejpam-5729	126	27	ω′	ω′	PROPN
ejpam-5729	126	28	(	(	PUNCT
ejpam-5729	126	29	u	u	NOUN
ejpam-5729	126	30	)	)	PUNCT
ejpam-5729	126	31	>	>	X
ejpam-5729	126	32	0	0	PUNCT
ejpam-5729	126	33	(	(	PUNCT
ejpam-5729	126	34	a1ω	a1ω	PROPN
ejpam-5729	126	35	′)′	′)′	PROPN
ejpam-5729	126	36	(	(	PUNCT
ejpam-5729	126	37	u	u	NOUN
ejpam-5729	126	38	)	)	PUNCT
ejpam-5729	126	39	<	<	X
ejpam-5729	126	40	0	0	PUNCT
ejpam-5729	126	41	(	(	PUNCT
ejpam-5729	126	42	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	126	43	′)′)′	′)′)′	PROPN
ejpam-5729	126	44	(	(	PUNCT
ejpam-5729	126	45	u	u	NOUN
ejpam-5729	126	46	)	)	PUNCT
ejpam-5729	126	47	>	>	X
ejpam-5729	126	48	0	0	NUM
ejpam-5729	126	49	;	;	PUNCT
ejpam-5729	126	50	ω	ω	X
ejpam-5729	126	51	(	(	PUNCT
ejpam-5729	126	52	u	u	NOUN
ejpam-5729	126	53	)	)	PUNCT
ejpam-5729	126	54	∈	∈	PROPN
ejpam-5729	126	55	l+	l+	PUNCT
ejpam-5729	126	56	⇐	⇐	ADJ
ejpam-5729	126	57	⇒	⇒	PROPN
ejpam-5729	126	58	ω	ω	PROPN
ejpam-5729	126	59	(	(	PUNCT
ejpam-5729	126	60	u	u	NOUN
ejpam-5729	126	61	)	)	PUNCT
ejpam-5729	126	62	>	>	X
ejpam-5729	126	63	0	0	NUM
ejpam-5729	126	64	ω′	ω′	PROPN
ejpam-5729	126	65	(	(	PUNCT
ejpam-5729	126	66	u	u	NOUN
ejpam-5729	126	67	)	)	PUNCT
ejpam-5729	126	68	>	>	X
ejpam-5729	126	69	0	0	PUNCT
ejpam-5729	126	70	(	(	PUNCT
ejpam-5729	126	71	a1ω	a1ω	PROPN
ejpam-5729	126	72	′)′	′)′	PROPN
ejpam-5729	126	73	(	(	PUNCT
ejpam-5729	126	74	u	u	NOUN
ejpam-5729	126	75	)	)	PUNCT
ejpam-5729	126	76	>	>	X
ejpam-5729	126	77	0	0	PUNCT
ejpam-5729	126	78	(	(	PUNCT
ejpam-5729	126	79	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	126	80	′)′)′	′)′)′	PROPN
ejpam-5729	126	81	(	(	PUNCT
ejpam-5729	126	82	u	u	NOUN
ejpam-5729	126	83	)	)	PUNCT
ejpam-5729	126	84	>	>	X
ejpam-5729	126	85	0	0	X
ejpam-5729	126	86	.	.	PUNCT
ejpam-5729	126	87	proof	proof	NOUN
ejpam-5729	126	88	.	.	PUNCT
ejpam-5729	127	1	suppose	suppose	VERB
ejpam-5729	127	2	(	(	PUNCT
ejpam-5729	127	3	1	1	X
ejpam-5729	127	4	)	)	PUNCT
ejpam-5729	127	5	has	have	VERB
ejpam-5729	127	6	an	an	DET
ejpam-5729	127	7	eventually	eventually	ADV
ejpam-5729	127	8	positive	positive	ADJ
ejpam-5729	127	9	solution	solution	NOUN
ejpam-5729	127	10	at	at	ADP
ejpam-5729	127	11	x	x	X
ejpam-5729	127	12	(	(	PUNCT
ejpam-5729	127	13	u	u	NOUN
ejpam-5729	127	14	)	)	PUNCT
ejpam-5729	127	15	.	.	PUNCT
ejpam-5729	128	1	from	from	ADP
ejpam-5729	128	2	(	(	PUNCT
ejpam-5729	128	3	1	1	X
ejpam-5729	128	4	)	)	PUNCT
ejpam-5729	128	5	we	we	PRON
ejpam-5729	128	6	get	get	VERB
ejpam-5729	128	7	(	(	PUNCT
ejpam-5729	128	8	a3(a2(a1ω	a3(a2(a1ω	PROPN
ejpam-5729	128	9	′)′)′)′	′)′)′)′	ADV
ejpam-5729	128	10	(	(	PUNCT
ejpam-5729	128	11	u	u	NOUN
ejpam-5729	128	12	)	)	PUNCT
ejpam-5729	128	13	≤	≤	NOUN
ejpam-5729	128	14	0	0	NUM
ejpam-5729	128	15	.	.	PUNCT
ejpam-5729	129	1	lemma	lemma	PROPN
ejpam-5729	129	2	1	1	NUM
ejpam-5729	129	3	must	must	AUX
ejpam-5729	129	4	be	be	AUX
ejpam-5729	129	5	used	use	VERB
ejpam-5729	129	6	to	to	PART
ejpam-5729	129	7	deduce	deduce	VERB
ejpam-5729	129	8	the	the	DET
ejpam-5729	129	9	cases	case	NOUN
ejpam-5729	129	10	l−	l−	NOUN
ejpam-5729	129	11	and	and	CCONJ
ejpam-5729	129	12	l+	l+	NOUN
ejpam-5729	129	13	for	for	ADP
ejpam-5729	129	14	the	the	DET
ejpam-5729	129	15	corresponding	corresponding	ADJ
ejpam-5729	129	16	function	function	PROPN
ejpam-5729	129	17	ω	ω	PROPN
ejpam-5729	129	18	(	(	PUNCT
ejpam-5729	129	19	u	u	NOUN
ejpam-5729	129	20	)	)	PUNCT
ejpam-5729	129	21	to	to	ADP
ejpam-5729	129	22	the	the	DET
ejpam-5729	129	23	solution	solution	NOUN
ejpam-5729	129	24	x	x	INTJ
ejpam-5729	129	25	(	(	PUNCT
ejpam-5729	129	26	u	u	NOUN
ejpam-5729	129	27	)	)	PUNCT
ejpam-5729	129	28	and	and	CCONJ
ejpam-5729	129	29	its	its	PRON
ejpam-5729	129	30	derivatives	derivative	NOUN
ejpam-5729	129	31	.	.	PUNCT
ejpam-5729	130	1	remark	remark	PROPN
ejpam-5729	130	2	1	1	NUM
ejpam-5729	130	3	.	.	PUNCT
ejpam-5729	131	1	the	the	DET
ejpam-5729	131	2	decomposition	decomposition	NOUN
ejpam-5729	131	3	of	of	ADP
ejpam-5729	131	4	(	(	PUNCT
ejpam-5729	131	5	1	1	X
ejpam-5729	131	6	)	)	PUNCT
ejpam-5729	131	7	is	be	AUX
ejpam-5729	131	8	found	find	VERB
ejpam-5729	131	9	in	in	ADP
ejpam-5729	131	10	the	the	DET
ejpam-5729	131	11	set	set	ADJ
ejpam-5729	131	12	l	l	NOUN
ejpam-5729	131	13	of	of	ADP
ejpam-5729	131	14	all	all	DET
ejpam-5729	131	15	positive	positive	ADJ
ejpam-5729	131	16	solutions	solution	NOUN
ejpam-5729	131	17	l	l	NOUN
ejpam-5729	131	18	=	=	PUNCT
ejpam-5729	131	19	l−	l−	NOUN
ejpam-5729	131	20	∪	∪	ADJ
ejpam-5729	131	21	l+	l+	PROPN
ejpam-5729	131	22	.	.	PUNCT
ejpam-5729	132	1	now	now	ADV
ejpam-5729	132	2	,	,	PUNCT
ejpam-5729	132	3	we	we	PRON
ejpam-5729	132	4	can	can	AUX
ejpam-5729	132	5	derive	derive	VERB
ejpam-5729	132	6	the	the	DET
ejpam-5729	132	7	next	next	ADJ
ejpam-5729	132	8	theorem	theorem	NOUN
ejpam-5729	132	9	using	use	VERB
ejpam-5729	132	10	the	the	DET
ejpam-5729	132	11	comparison	comparison	NOUN
ejpam-5729	132	12	principle	principle	NOUN
ejpam-5729	132	13	:	:	PUNCT
ejpam-5729	132	14	w.	w.	PROPN
ejpam-5729	132	15	muhsin	muhsin	PROPN
ejpam-5729	132	16	et	et	PROPN
ejpam-5729	132	17	al	al	PROPN
ejpam-5729	132	18	.	.	PUNCT
ejpam-5729	132	19	/	/	SYM
ejpam-5729	132	20	eur	eur	PROPN
ejpam-5729	132	21	.	.	PUNCT
ejpam-5729	133	1	j.	j.	PROPN
ejpam-5729	133	2	pure	pure	PROPN
ejpam-5729	133	3	appl	appl	PROPN
ejpam-5729	133	4	.	.	PROPN
ejpam-5729	133	5	math	math	PROPN
ejpam-5729	133	6	,	,	PUNCT
ejpam-5729	133	7	18	18	NUM
ejpam-5729	133	8	(	(	PUNCT
ejpam-5729	133	9	1	1	NUM
ejpam-5729	133	10	)	)	PUNCT
ejpam-5729	133	11	(	(	PUNCT
ejpam-5729	133	12	2025	2025	NUM
ejpam-5729	133	13	)	)	PUNCT
ejpam-5729	133	14	,	,	PUNCT
ejpam-5729	133	15	5729	5729	NUM
ejpam-5729	133	16	7	7	NUM
ejpam-5729	133	17	of	of	ADP
ejpam-5729	133	18	17	17	NUM
ejpam-5729	133	19	theorem	theorem	NOUN
ejpam-5729	133	20	1	1	NUM
ejpam-5729	133	21	.	.	PUNCT
ejpam-5729	133	22	assume	assume	VERB
ejpam-5729	133	23	that	that	SCONJ
ejpam-5729	133	24	both	both	DET
ejpam-5729	133	25	first	first	ADJ
ejpam-5729	133	26	-	-	PUNCT
ejpam-5729	133	27	order	order	NOUN
ejpam-5729	133	28	ddes	dde	NOUN
ejpam-5729	133	29	g′	g′	NOUN
ejpam-5729	133	30	(	(	PUNCT
ejpam-5729	133	31	u	u	NOUN
ejpam-5729	133	32	)	)	PUNCT
ejpam-5729	133	33	+	+	NOUN
ejpam-5729	133	34	r1	r1	PROPN
ejpam-5729	133	35	(	(	PUNCT
ejpam-5729	133	36	u	u	NOUN
ejpam-5729	133	37	)	)	PUNCT
ejpam-5729	133	38	g	g	PROPN
ejpam-5729	133	39	(	(	PUNCT
ejpam-5729	133	40	ρ	ρ	PROPN
ejpam-5729	133	41	(	(	PUNCT
ejpam-5729	133	42	u	u	NOUN
ejpam-5729	133	43	)	)	PUNCT
ejpam-5729	133	44	)	)	PUNCT
ejpam-5729	134	1	=	=	SYM
ejpam-5729	134	2	0	0	PUNCT
ejpam-5729	134	3	(	(	PUNCT
ejpam-5729	134	4	7	7	NUM
ejpam-5729	134	5	)	)	PUNCT
ejpam-5729	134	6	and	and	CCONJ
ejpam-5729	134	7	g′	g′	NOUN
ejpam-5729	134	8	(	(	PUNCT
ejpam-5729	134	9	u	u	NOUN
ejpam-5729	134	10	)	)	PUNCT
ejpam-5729	134	11	+	+	NOUN
ejpam-5729	134	12	r2	r2	PROPN
ejpam-5729	134	13	(	(	PUNCT
ejpam-5729	134	14	u	u	NOUN
ejpam-5729	134	15	)	)	PUNCT
ejpam-5729	134	16	g	g	PROPN
ejpam-5729	134	17	(	(	PUNCT
ejpam-5729	134	18	ρ	ρ	PROPN
ejpam-5729	134	19	(	(	PUNCT
ejpam-5729	134	20	u	u	NOUN
ejpam-5729	134	21	)	)	PUNCT
ejpam-5729	134	22	)	)	PUNCT
ejpam-5729	134	23	=	=	SYM
ejpam-5729	134	24	0	0	PUNCT
ejpam-5729	134	25	(	(	PUNCT
ejpam-5729	134	26	8)	8)	NUM
ejpam-5729	134	27	are	be	AUX
ejpam-5729	134	28	oscillatory	oscillatory	ADJ
ejpam-5729	134	29	.	.	PUNCT
ejpam-5729	135	1	then	then	ADV
ejpam-5729	135	2	equation	equation	NOUN
ejpam-5729	135	3	(	(	PUNCT
ejpam-5729	135	4	1	1	X
ejpam-5729	135	5	)	)	PUNCT
ejpam-5729	135	6	is	be	AUX
ejpam-5729	135	7	oscillatory	oscillatory	ADJ
ejpam-5729	135	8	.	.	PUNCT
ejpam-5729	136	1	proof	proof	NOUN
ejpam-5729	136	2	.	.	PUNCT
ejpam-5729	137	1	assume	assume	VERB
ejpam-5729	137	2	that	that	SCONJ
ejpam-5729	137	3	x	x	PRON
ejpam-5729	137	4	is	be	AUX
ejpam-5729	137	5	an	an	DET
ejpam-5729	137	6	eventually	eventually	ADV
ejpam-5729	137	7	positive	positive	ADJ
ejpam-5729	137	8	solution	solution	NOUN
ejpam-5729	137	9	of	of	ADP
ejpam-5729	137	10	(	(	PUNCT
ejpam-5729	137	11	1	1	NUM
ejpam-5729	137	12	)	)	PUNCT
ejpam-5729	137	13	,	,	PUNCT
ejpam-5729	137	14	say	say	VERB
ejpam-5729	137	15	for	for	SCONJ
ejpam-5729	137	16	u	u	PROPN
ejpam-5729	137	17	≥	≥	NOUN
ejpam-5729	137	18	u1	u1	NOUN
ejpam-5729	137	19	.	.	PUNCT
ejpam-5729	138	1	through	through	ADP
ejpam-5729	138	2	lemma	lemma	PROPN
ejpam-5729	138	3	3	3	NUM
ejpam-5729	138	4	,	,	PUNCT
ejpam-5729	138	5	we	we	PRON
ejpam-5729	138	6	can	can	AUX
ejpam-5729	138	7	deduce	deduce	VERB
ejpam-5729	138	8	that	that	PRON
ejpam-5729	138	9	ω	ω	PROPN
ejpam-5729	138	10	(	(	PUNCT
ejpam-5729	138	11	u	u	NOUN
ejpam-5729	138	12	)	)	PUNCT
ejpam-5729	138	13	∈	∈	PROPN
ejpam-5729	138	14	l+	l+	PUNCT
ejpam-5729	138	15	or	or	CCONJ
ejpam-5729	138	16	ω	ω	NUM
ejpam-5729	138	17	(	(	PUNCT
ejpam-5729	138	18	u	u	NOUN
ejpam-5729	138	19	)	)	PUNCT
ejpam-5729	138	20	∈	∈	PROPN
ejpam-5729	138	21	l−.	l−.	PROPN
ejpam-5729	138	22	it	it	PRON
ejpam-5729	138	23	follows	follow	VERB
ejpam-5729	138	24	from	from	ADP
ejpam-5729	138	25	the	the	DET
ejpam-5729	138	26	monotonicity	monotonicity	NOUN
ejpam-5729	138	27	of	of	ADP
ejpam-5729	138	28	a1	a1	NOUN
ejpam-5729	138	29	(	(	PUNCT
ejpam-5729	138	30	u	u	NOUN
ejpam-5729	138	31	)	)	PUNCT
ejpam-5729	138	32	ω	ω	NUM
ejpam-5729	138	33	′	′	NUM
ejpam-5729	138	34	(	(	PUNCT
ejpam-5729	138	35	u	u	NOUN
ejpam-5729	138	36	)	)	PUNCT
ejpam-5729	138	37	that	that	PRON
ejpam-5729	138	38	ω	ω	PROPN
ejpam-5729	138	39	(	(	PUNCT
ejpam-5729	138	40	u	u	NOUN
ejpam-5729	138	41	)	)	PUNCT
ejpam-5729	138	42	≥	≥	NUM
ejpam-5729	138	43	∫	∫	NOUN
ejpam-5729	138	44	u	u	PROPN
ejpam-5729	138	45	u1	u1	NOUN
ejpam-5729	138	46	1	1	NUM
ejpam-5729	138	47	a1	a1	NOUN
ejpam-5729	138	48	(	(	PUNCT
ejpam-5729	138	49	v	v	NOUN
ejpam-5729	138	50	)	)	PUNCT
ejpam-5729	138	51	a1	a1	NOUN
ejpam-5729	138	52	(	(	PUNCT
ejpam-5729	138	53	v	v	NOUN
ejpam-5729	138	54	)	)	PUNCT
ejpam-5729	138	55	ω	ω	NOUN
ejpam-5729	138	56	′	′	NUM
ejpam-5729	138	57	(	(	PUNCT
ejpam-5729	138	58	v	v	NOUN
ejpam-5729	138	59	)	)	PUNCT
ejpam-5729	138	60	dv	dv	PROPN
ejpam-5729	138	61	≥	≥	PROPN
ejpam-5729	138	62	a1	a1	PROPN
ejpam-5729	138	63	(	(	PUNCT
ejpam-5729	138	64	u	u	NOUN
ejpam-5729	138	65	)	)	PUNCT
ejpam-5729	138	66	ω	ω	NUM
ejpam-5729	138	67	′	′	NUM
ejpam-5729	138	68	(	(	PUNCT
ejpam-5729	138	69	u	u	NOUN
ejpam-5729	138	70	)	)	PUNCT
ejpam-5729	138	71	∫	∫	PROPN
ejpam-5729	138	72	u	u	PROPN
ejpam-5729	138	73	u1	u1	PROPN
ejpam-5729	138	74	1	1	NUM
ejpam-5729	138	75	a1	a1	NOUN
ejpam-5729	138	76	(	(	PUNCT
ejpam-5729	138	77	v	v	NOUN
ejpam-5729	138	78	)	)	PUNCT
ejpam-5729	138	79	dv	dv	PROPN
ejpam-5729	138	80	,	,	PUNCT
ejpam-5729	138	81	(	(	PUNCT
ejpam-5729	138	82	9	9	NUM
ejpam-5729	138	83	)	)	PUNCT
ejpam-5729	138	84	or	or	CCONJ
ejpam-5729	138	85	ω	ω	NUM
ejpam-5729	138	86	(	(	PUNCT
ejpam-5729	138	87	u	u	NOUN
ejpam-5729	138	88	)	)	PUNCT
ejpam-5729	138	89	≥	≥	NOUN
ejpam-5729	138	90	a1	a1	NOUN
ejpam-5729	138	91	(	(	PUNCT
ejpam-5729	138	92	u	u	NOUN
ejpam-5729	138	93	)	)	PUNCT
ejpam-5729	138	94	ω	ω	NUM
ejpam-5729	138	95	′	′	NUM
ejpam-5729	138	96	(	(	PUNCT
ejpam-5729	138	97	u	u	NOUN
ejpam-5729	138	98	)	)	PUNCT
ejpam-5729	138	99	i1	i1	PROPN
ejpam-5729	138	100	(	(	PUNCT
ejpam-5729	138	101	u	u	NOUN
ejpam-5729	138	102	)	)	PUNCT
ejpam-5729	138	103	.	.	PUNCT
ejpam-5729	139	1	by	by	ADP
ejpam-5729	139	2	the	the	DET
ejpam-5729	139	3	definition	definition	NOUN
ejpam-5729	139	4	of	of	ADP
ejpam-5729	139	5	ω	ω	PROPN
ejpam-5729	139	6	(	(	PUNCT
ejpam-5729	139	7	u	u	NOUN
ejpam-5729	139	8	)	)	PUNCT
ejpam-5729	139	9	,	,	PUNCT
ejpam-5729	139	10	we	we	PRON
ejpam-5729	139	11	obtain	obtain	VERB
ejpam-5729	139	12	x	x	SYM
ejpam-5729	139	13	(	(	PUNCT
ejpam-5729	139	14	u	u	NOUN
ejpam-5729	139	15	)	)	PUNCT
ejpam-5729	139	16	≥	≥	PROPN
ejpam-5729	139	17	ω	ω	NOUN
ejpam-5729	139	18	(	(	PUNCT
ejpam-5729	139	19	u)−	u)−	PROPN
ejpam-5729	139	20	h	h	NOUN
ejpam-5729	139	21	(	(	PUNCT
ejpam-5729	139	22	u)x	u)x	X
ejpam-5729	139	23	(	(	PUNCT
ejpam-5729	139	24	ρ	ρ	PROPN
ejpam-5729	139	25	(	(	PUNCT
ejpam-5729	139	26	u	u	NOUN
ejpam-5729	139	27	)	)	PUNCT
ejpam-5729	139	28	)	)	PUNCT
ejpam-5729	139	29	≥	≥	PROPN
ejpam-5729	140	1	ω	ω	INTJ
ejpam-5729	140	2	(	(	PUNCT
ejpam-5729	140	3	u)−	u)−	PROPN
ejpam-5729	140	4	h	h	NOUN
ejpam-5729	140	5	(	(	PUNCT
ejpam-5729	140	6	u	u	NOUN
ejpam-5729	140	7	)	)	PUNCT
ejpam-5729	140	8	ω	ω	PROPN
ejpam-5729	140	9	(	(	PUNCT
ejpam-5729	140	10	ρ	ρ	PROPN
ejpam-5729	140	11	(	(	PUNCT
ejpam-5729	140	12	u	u	NOUN
ejpam-5729	140	13	)	)	PUNCT
ejpam-5729	140	14	)	)	PUNCT
ejpam-5729	140	15	≥	≥	NOUN
ejpam-5729	140	16	(	(	PUNCT
ejpam-5729	140	17	1−	1−	NUM
ejpam-5729	140	18	h	h	NOUN
ejpam-5729	140	19	(	(	PUNCT
ejpam-5729	140	20	u	u	NOUN
ejpam-5729	140	21	)	)	PUNCT
ejpam-5729	140	22	)	)	PUNCT
ejpam-5729	141	1	ω	ω	PROPN
ejpam-5729	141	2	(	(	PUNCT
ejpam-5729	141	3	u	u	NOUN
ejpam-5729	141	4	)	)	PUNCT
ejpam-5729	141	5	,	,	PUNCT
ejpam-5729	141	6	which	which	PRON
ejpam-5729	141	7	together	together	ADV
ejpam-5729	141	8	with	with	ADP
ejpam-5729	141	9	(	(	PUNCT
ejpam-5729	141	10	1	1	NUM
ejpam-5729	141	11	)	)	PUNCT
ejpam-5729	141	12	,	,	PUNCT
ejpam-5729	141	13	implies	imply	VERB
ejpam-5729	141	14	(	(	PUNCT
ejpam-5729	141	15	a3(a2(a1ω	a3(a2(a1ω	PROPN
ejpam-5729	141	16	′)′)′	′)′)′	PROPN
ejpam-5729	141	17	)	)	PUNCT
ejpam-5729	141	18	′	′	NUM
ejpam-5729	141	19	(	(	PUNCT
ejpam-5729	141	20	u	u	NOUN
ejpam-5729	141	21	)	)	PUNCT
ejpam-5729	141	22	≤	≤	ADJ
ejpam-5729	141	23	−q	−q	NOUN
ejpam-5729	141	24	(	(	PUNCT
ejpam-5729	141	25	u	u	NOUN
ejpam-5729	141	26	)	)	PUNCT
ejpam-5729	141	27	(	(	PUNCT
ejpam-5729	141	28	1−	1−	NUM
ejpam-5729	141	29	h	h	NOUN
ejpam-5729	141	30	(	(	PUNCT
ejpam-5729	141	31	ρ	ρ	PROPN
ejpam-5729	141	32	(	(	PUNCT
ejpam-5729	141	33	u	u	NOUN
ejpam-5729	141	34	)	)	PUNCT
ejpam-5729	141	35	)	)	PUNCT
ejpam-5729	141	36	)	)	PUNCT
ejpam-5729	142	1	ω	ω	PROPN
ejpam-5729	142	2	(	(	PUNCT
ejpam-5729	142	3	ρ	ρ	PROPN
ejpam-5729	142	4	(	(	PUNCT
ejpam-5729	142	5	u	u	NOUN
ejpam-5729	142	6	)	)	PUNCT
ejpam-5729	142	7	)	)	PUNCT
ejpam-5729	142	8	≤	≤	NUM
ejpam-5729	142	9	−q	−q	NOUN
ejpam-5729	142	10	(	(	PUNCT
ejpam-5729	142	11	u	u	NOUN
ejpam-5729	142	12	)	)	PUNCT
ejpam-5729	142	13	ω	ω	PROPN
ejpam-5729	142	14	(	(	PUNCT
ejpam-5729	142	15	ρ	ρ	PROPN
ejpam-5729	142	16	(	(	PUNCT
ejpam-5729	142	17	u	u	NOUN
ejpam-5729	142	18	)	)	PUNCT
ejpam-5729	142	19	)	)	PUNCT
ejpam-5729	142	20	.	.	PUNCT
ejpam-5729	143	1	(	(	PUNCT
ejpam-5729	143	2	10	10	NUM
ejpam-5729	143	3	)	)	PUNCT
ejpam-5729	143	4	assume	assume	VERB
ejpam-5729	143	5	first	first	ADV
ejpam-5729	143	6	that	that	SCONJ
ejpam-5729	143	7	ω	ω	PROPN
ejpam-5729	143	8	(	(	PUNCT
ejpam-5729	143	9	u	u	NOUN
ejpam-5729	143	10	)	)	PUNCT
ejpam-5729	143	11	∈	∈	PROPN
ejpam-5729	143	12	l−.	l−.	PROPN
ejpam-5729	143	13	integrating	integrate	VERB
ejpam-5729	143	14	(	(	PUNCT
ejpam-5729	143	15	10	10	NUM
ejpam-5729	143	16	)	)	PUNCT
ejpam-5729	143	17	from	from	ADP
ejpam-5729	143	18	u	u	PRON
ejpam-5729	143	19	to	to	ADP
ejpam-5729	143	20	∞	∞	PROPN
ejpam-5729	143	21	,	,	PUNCT
ejpam-5729	143	22	we	we	PRON
ejpam-5729	143	23	get	get	VERB
ejpam-5729	143	24	a3	a3	NOUN
ejpam-5729	143	25	(	(	PUNCT
ejpam-5729	143	26	u	u	NOUN
ejpam-5729	143	27	)	)	PUNCT
ejpam-5729	143	28	(	(	PUNCT
ejpam-5729	143	29	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	143	30	′)′)′	′)′)′	PROPN
ejpam-5729	143	31	(	(	PUNCT
ejpam-5729	143	32	u	u	NOUN
ejpam-5729	143	33	)	)	PUNCT
ejpam-5729	143	34	≥	≥	NOUN
ejpam-5729	143	35	∫	∫	PROPN
ejpam-5729	144	1	∞	∞	NUM
ejpam-5729	144	2	u	u	PROPN
ejpam-5729	144	3	q	q	X
ejpam-5729	144	4	(	(	PUNCT
ejpam-5729	144	5	v	v	NOUN
ejpam-5729	144	6	)	)	PUNCT
ejpam-5729	144	7	ω	ω	PROPN
ejpam-5729	144	8	(	(	PUNCT
ejpam-5729	144	9	ρ	ρ	PROPN
ejpam-5729	144	10	(	(	PUNCT
ejpam-5729	144	11	v	v	NOUN
ejpam-5729	144	12	)	)	PUNCT
ejpam-5729	144	13	)	)	PUNCT
ejpam-5729	145	1	dv	dv	PROPN
ejpam-5729	145	2	.	.	PUNCT
ejpam-5729	145	3	using	use	VERB
ejpam-5729	145	4	this	this	DET
ejpam-5729	145	5	fact	fact	NOUN
ejpam-5729	145	6	ω	ω	X
ejpam-5729	145	7	(	(	PUNCT
ejpam-5729	145	8	ρ	ρ	PROPN
ejpam-5729	145	9	(	(	PUNCT
ejpam-5729	145	10	u	u	NOUN
ejpam-5729	145	11	)	)	PUNCT
ejpam-5729	145	12	)	)	PUNCT
ejpam-5729	145	13	is	be	AUX
ejpam-5729	145	14	increasing	increase	VERB
ejpam-5729	145	15	,	,	PUNCT
ejpam-5729	145	16	the	the	DET
ejpam-5729	145	17	last	last	ADJ
ejpam-5729	145	18	inequality	inequality	NOUN
ejpam-5729	145	19	becomes	become	VERB
ejpam-5729	145	20	(	(	PUNCT
ejpam-5729	145	21	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	145	22	′)′)′	′)′)′	PROPN
ejpam-5729	145	23	(	(	PUNCT
ejpam-5729	145	24	u	u	NOUN
ejpam-5729	145	25	)	)	PUNCT
ejpam-5729	145	26	≥	≥	PROPN
ejpam-5729	145	27	ω	ω	PROPN
ejpam-5729	145	28	(	(	PUNCT
ejpam-5729	145	29	ρ	ρ	PROPN
ejpam-5729	145	30	(	(	PUNCT
ejpam-5729	145	31	u	u	NOUN
ejpam-5729	145	32	)	)	PUNCT
ejpam-5729	145	33	)	)	PUNCT
ejpam-5729	145	34	1	1	NUM
ejpam-5729	145	35	a3	a3	NOUN
ejpam-5729	145	36	(	(	PUNCT
ejpam-5729	145	37	u	u	NOUN
ejpam-5729	145	38	)	)	PUNCT
ejpam-5729	145	39	∫	∫	PROPN
ejpam-5729	146	1	∞	∞	NUM
ejpam-5729	146	2	u	u	PROPN
ejpam-5729	146	3	q	q	X
ejpam-5729	146	4	(	(	PUNCT
ejpam-5729	146	5	v	v	NOUN
ejpam-5729	146	6	)	)	PUNCT
ejpam-5729	146	7	dv	dv	PROPN
ejpam-5729	146	8	.	.	PUNCT
ejpam-5729	146	9	integrating	integrate	VERB
ejpam-5729	146	10	once	once	ADV
ejpam-5729	146	11	more	more	ADV
ejpam-5729	146	12	,	,	PUNCT
ejpam-5729	146	13	we	we	PRON
ejpam-5729	146	14	are	be	AUX
ejpam-5729	146	15	led	lead	VERB
ejpam-5729	146	16	to	to	ADP
ejpam-5729	146	17	−(a1ω	−(a1ω	PROPN
ejpam-5729	146	18	′)′	′)′	PROPN
ejpam-5729	147	1	(	(	PUNCT
ejpam-5729	147	2	u	u	NOUN
ejpam-5729	147	3	)	)	PUNCT
ejpam-5729	147	4	≥	≥	PROPN
ejpam-5729	147	5	ω	ω	PROPN
ejpam-5729	147	6	(	(	PUNCT
ejpam-5729	147	7	ρ	ρ	PROPN
ejpam-5729	147	8	(	(	PUNCT
ejpam-5729	147	9	u	u	NOUN
ejpam-5729	147	10	)	)	PUNCT
ejpam-5729	147	11	)	)	PUNCT
ejpam-5729	148	1	1	1	NUM
ejpam-5729	148	2	a2	a2	PROPN
ejpam-5729	148	3	(	(	PUNCT
ejpam-5729	148	4	u	u	NOUN
ejpam-5729	148	5	)	)	PUNCT
ejpam-5729	148	6	∫	∫	PROPN
ejpam-5729	148	7	∞	∞	PROPN
ejpam-5729	148	8	u	u	PROPN
ejpam-5729	148	9	1	1	NUM
ejpam-5729	148	10	a3	a3	NOUN
ejpam-5729	148	11	(	(	PUNCT
ejpam-5729	148	12	v	v	NOUN
ejpam-5729	148	13	)	)	PUNCT
ejpam-5729	148	14	∫	∫	PROPN
ejpam-5729	148	15	∞	∞	PROPN
ejpam-5729	148	16	v	v	PROPN
ejpam-5729	148	17	q	q	PROPN
ejpam-5729	148	18	(	(	PUNCT
ejpam-5729	148	19	ξ	ξ	NOUN
ejpam-5729	148	20	)	)	PUNCT
ejpam-5729	148	21	dξdv	dξdv	NOUN
ejpam-5729	148	22	.	.	PUNCT
ejpam-5729	149	1	combining	combine	VERB
ejpam-5729	149	2	the	the	DET
ejpam-5729	149	3	last	last	ADJ
ejpam-5729	149	4	inequality	inequality	NOUN
ejpam-5729	149	5	with	with	ADP
ejpam-5729	149	6	(	(	PUNCT
ejpam-5729	149	7	9	9	NUM
ejpam-5729	149	8	)	)	PUNCT
ejpam-5729	149	9	,	,	PUNCT
ejpam-5729	149	10	gives	give	VERB
ejpam-5729	149	11	−(a1ω	−(a1ω	PROPN
ejpam-5729	149	12	′)′	′)′	PROPN
ejpam-5729	149	13	(	(	PUNCT
ejpam-5729	149	14	u	u	NOUN
ejpam-5729	149	15	)	)	PUNCT
ejpam-5729	149	16	≥	≥	PROPN
ejpam-5729	149	17	(	(	PUNCT
ejpam-5729	149	18	ω′	ω′	PROPN
ejpam-5729	149	19	(	(	PUNCT
ejpam-5729	149	20	ρ	ρ	PROPN
ejpam-5729	149	21	(	(	PUNCT
ejpam-5729	149	22	u	u	NOUN
ejpam-5729	149	23	)	)	PUNCT
ejpam-5729	149	24	)	)	PUNCT
ejpam-5729	149	25	a1	a1	NOUN
ejpam-5729	149	26	(	(	PUNCT
ejpam-5729	149	27	ρ	ρ	PROPN
ejpam-5729	149	28	(	(	PUNCT
ejpam-5729	149	29	u	u	NOUN
ejpam-5729	149	30	)	)	PUNCT
ejpam-5729	149	31	)	)	PUNCT
ejpam-5729	149	32	a2	a2	PROPN
ejpam-5729	149	33	(	(	PUNCT
ejpam-5729	149	34	u	u	NOUN
ejpam-5729	149	35	)	)	PUNCT
ejpam-5729	149	36	∫	∫	PROPN
ejpam-5729	149	37	∞	∞	PROPN
ejpam-5729	149	38	u	u	PROPN
ejpam-5729	149	39	1	1	NUM
ejpam-5729	149	40	a3	a3	NOUN
ejpam-5729	149	41	(	(	PUNCT
ejpam-5729	149	42	v	v	NOUN
ejpam-5729	149	43	)	)	PUNCT
ejpam-5729	149	44	∫	∫	PROPN
ejpam-5729	149	45	∞	∞	PROPN
ejpam-5729	149	46	v	v	PROPN
ejpam-5729	149	47	q	q	PROPN
ejpam-5729	149	48	(	(	PUNCT
ejpam-5729	149	49	ξ	ξ	NOUN
ejpam-5729	149	50	)	)	PUNCT
ejpam-5729	149	51	dξdv	dξdv	NOUN
ejpam-5729	149	52	)	)	PUNCT
ejpam-5729	149	53	∫	∫	PROPN
ejpam-5729	149	54	ρ(u	ρ(u	PROPN
ejpam-5729	149	55	)	)	PUNCT
ejpam-5729	149	56	u1	u1	NOUN
ejpam-5729	149	57	1	1	NUM
ejpam-5729	149	58	a1	a1	NOUN
ejpam-5729	149	59	(	(	PUNCT
ejpam-5729	149	60	v	v	NOUN
ejpam-5729	149	61	)	)	PUNCT
ejpam-5729	149	62	dv	dv	PROPN
ejpam-5729	149	63	w.	w.	PROPN
ejpam-5729	149	64	muhsin	muhsin	PROPN
ejpam-5729	149	65	et	et	PROPN
ejpam-5729	149	66	al	al	PROPN
ejpam-5729	149	67	.	.	PUNCT
ejpam-5729	149	68	/	/	SYM
ejpam-5729	149	69	eur	eur	PROPN
ejpam-5729	149	70	.	.	PUNCT
ejpam-5729	150	1	j.	j.	PROPN
ejpam-5729	150	2	pure	pure	PROPN
ejpam-5729	150	3	appl	appl	PROPN
ejpam-5729	150	4	.	.	PROPN
ejpam-5729	150	5	math	math	PROPN
ejpam-5729	150	6	,	,	PUNCT
ejpam-5729	150	7	18	18	NUM
ejpam-5729	150	8	(	(	PUNCT
ejpam-5729	150	9	1	1	NUM
ejpam-5729	150	10	)	)	PUNCT
ejpam-5729	150	11	(	(	PUNCT
ejpam-5729	150	12	2025	2025	NUM
ejpam-5729	150	13	)	)	PUNCT
ejpam-5729	150	14	,	,	PUNCT
ejpam-5729	150	15	5729	5729	NUM
ejpam-5729	150	16	8	8	NUM
ejpam-5729	150	17	of	of	ADP
ejpam-5729	150	18	17	17	NUM
ejpam-5729	150	19	=	=	SYM
ejpam-5729	150	20	a1	a1	NOUN
ejpam-5729	150	21	(	(	PUNCT
ejpam-5729	150	22	ρ	ρ	PROPN
ejpam-5729	150	23	(	(	PUNCT
ejpam-5729	150	24	u	u	NOUN
ejpam-5729	150	25	)	)	PUNCT
ejpam-5729	150	26	)	)	PUNCT
ejpam-5729	151	1	ω	ω	NUM
ejpam-5729	151	2	′	′	NUM
ejpam-5729	151	3	(	(	PUNCT
ejpam-5729	151	4	ρ	ρ	PROPN
ejpam-5729	151	5	(	(	PUNCT
ejpam-5729	151	6	u))r1	u))r1	PROPN
ejpam-5729	151	7	(	(	PUNCT
ejpam-5729	151	8	u	u	NOUN
ejpam-5729	151	9	)	)	PUNCT
ejpam-5729	151	10	.	.	PUNCT
ejpam-5729	152	1	thus	thus	ADV
ejpam-5729	152	2	,	,	PUNCT
ejpam-5729	152	3	the	the	DET
ejpam-5729	152	4	function	function	NOUN
ejpam-5729	152	5	g	g	PROPN
ejpam-5729	152	6	(	(	PUNCT
ejpam-5729	152	7	u	u	NOUN
ejpam-5729	152	8	)	)	PUNCT
ejpam-5729	152	9	:	:	PUNCT
ejpam-5729	152	10	=	=	SYM
ejpam-5729	152	11	a1	a1	NOUN
ejpam-5729	152	12	(	(	PUNCT
ejpam-5729	152	13	u	u	NOUN
ejpam-5729	152	14	)	)	PUNCT
ejpam-5729	152	15	ω	ω	NUM
ejpam-5729	152	16	′	′	NUM
ejpam-5729	152	17	(	(	PUNCT
ejpam-5729	152	18	u	u	NOUN
ejpam-5729	152	19	)	)	PUNCT
ejpam-5729	152	20	is	be	AUX
ejpam-5729	152	21	a	a	DET
ejpam-5729	152	22	positive	positive	ADJ
ejpam-5729	152	23	solution	solution	NOUN
ejpam-5729	152	24	of	of	ADP
ejpam-5729	152	25	the	the	DET
ejpam-5729	152	26	first	first	ADJ
ejpam-5729	152	27	-	-	PUNCT
ejpam-5729	152	28	order	order	NOUN
ejpam-5729	152	29	dd	dd	NOUN
ejpam-5729	152	30	inequality	inequality	NOUN
ejpam-5729	152	31	g′	g′	NOUN
ejpam-5729	152	32	(	(	PUNCT
ejpam-5729	152	33	u	u	NOUN
ejpam-5729	152	34	)	)	PUNCT
ejpam-5729	153	1	+	+	NOUN
ejpam-5729	153	2	r1	r1	PROPN
ejpam-5729	153	3	(	(	PUNCT
ejpam-5729	153	4	u	u	NOUN
ejpam-5729	153	5	)	)	PUNCT
ejpam-5729	153	6	g	g	PROPN
ejpam-5729	153	7	(	(	PUNCT
ejpam-5729	153	8	ρ	ρ	PROPN
ejpam-5729	153	9	(	(	PUNCT
ejpam-5729	153	10	u	u	NOUN
ejpam-5729	153	11	)	)	PUNCT
ejpam-5729	153	12	)	)	PUNCT
ejpam-5729	153	13	≤	≤	NUM
ejpam-5729	153	14	0	0	X
ejpam-5729	153	15	.	.	PUNCT
ejpam-5729	154	1	therefore	therefore	ADV
ejpam-5729	154	2	,	,	PUNCT
ejpam-5729	154	3	we	we	PRON
ejpam-5729	154	4	conclude	conclude	VERB
ejpam-5729	154	5	that	that	SCONJ
ejpam-5729	154	6	the	the	DET
ejpam-5729	154	7	related	related	ADJ
ejpam-5729	154	8	de	de	X
ejpam-5729	154	9	(	(	PUNCT
ejpam-5729	154	10	7	7	NUM
ejpam-5729	154	11	)	)	PUNCT
ejpam-5729	154	12	as	as	ADV
ejpam-5729	154	13	well	well	ADV
ejpam-5729	154	14	has	have	VERB
ejpam-5729	154	15	a	a	DET
ejpam-5729	154	16	positive	positive	ADJ
ejpam-5729	154	17	solution	solution	NOUN
ejpam-5729	154	18	by	by	ADP
ejpam-5729	154	19	applying	apply	VERB
ejpam-5729	154	20	the	the	DET
ejpam-5729	154	21	philos	philo	NOUN
ejpam-5729	154	22	theorem	theorem	NOUN
ejpam-5729	154	23	[	[	X
ejpam-5729	154	24	41	41	NUM
ejpam-5729	154	25	]	]	X
ejpam-5729	154	26	;	;	PUNCT
ejpam-5729	154	27	this	this	PRON
ejpam-5729	154	28	contradicts	contradict	VERB
ejpam-5729	154	29	the	the	DET
ejpam-5729	154	30	assumptions	assumption	NOUN
ejpam-5729	154	31	made	make	VERB
ejpam-5729	154	32	at	at	ADP
ejpam-5729	154	33	the	the	DET
ejpam-5729	154	34	beginning	beginning	NOUN
ejpam-5729	154	35	of	of	ADP
ejpam-5729	154	36	the	the	DET
ejpam-5729	154	37	theorem	theorem	NOUN
ejpam-5729	154	38	.	.	PUNCT
ejpam-5729	155	1	now	now	ADV
ejpam-5729	155	2	,	,	PUNCT
ejpam-5729	155	3	we	we	PRON
ejpam-5729	155	4	shall	shall	AUX
ejpam-5729	155	5	assume	assume	VERB
ejpam-5729	155	6	that	that	SCONJ
ejpam-5729	155	7	ω	ω	PROPN
ejpam-5729	155	8	(	(	PUNCT
ejpam-5729	155	9	u	u	NOUN
ejpam-5729	155	10	)	)	PUNCT
ejpam-5729	155	11	∈	∈	PROPN
ejpam-5729	155	12	l+	l+	NOUN
ejpam-5729	155	13	.	.	PUNCT
ejpam-5729	156	1	since	since	SCONJ
ejpam-5729	156	2	a3	a3	NOUN
ejpam-5729	156	3	(	(	PUNCT
ejpam-5729	156	4	u	u	NOUN
ejpam-5729	156	5	)	)	PUNCT
ejpam-5729	156	6	(	(	PUNCT
ejpam-5729	156	7	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	156	8	′)′)′	′)′)′	PROPN
ejpam-5729	156	9	(	(	PUNCT
ejpam-5729	156	10	u	u	NOUN
ejpam-5729	156	11	)	)	PUNCT
ejpam-5729	156	12	is	be	AUX
ejpam-5729	156	13	decreasing	decrease	VERB
ejpam-5729	156	14	,	,	PUNCT
ejpam-5729	156	15	one	one	NUM
ejpam-5729	156	16	gets	get	VERB
ejpam-5729	156	17	a2	a2	NOUN
ejpam-5729	156	18	(	(	PUNCT
ejpam-5729	156	19	u	u	NOUN
ejpam-5729	156	20	)	)	PUNCT
ejpam-5729	156	21	(	(	PUNCT
ejpam-5729	156	22	a1ω	a1ω	PROPN
ejpam-5729	156	23	′)′	′)′	PROPN
ejpam-5729	156	24	(	(	PUNCT
ejpam-5729	156	25	u	u	NOUN
ejpam-5729	156	26	)	)	PUNCT
ejpam-5729	156	27	≥	≥	NUM
ejpam-5729	156	28	∫	∫	NOUN
ejpam-5729	156	29	u	u	PROPN
ejpam-5729	156	30	u1	u1	PROPN
ejpam-5729	156	31	1	1	NUM
ejpam-5729	156	32	a3	a3	NOUN
ejpam-5729	156	33	(	(	PUNCT
ejpam-5729	156	34	v	v	NOUN
ejpam-5729	156	35	)	)	PUNCT
ejpam-5729	156	36	a3	a3	NOUN
ejpam-5729	156	37	(	(	PUNCT
ejpam-5729	156	38	v	v	NOUN
ejpam-5729	156	39	)	)	PUNCT
ejpam-5729	156	40	(	(	PUNCT
ejpam-5729	156	41	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	156	42	′)′	′)′	PUNCT
ejpam-5729	156	43	)	)	PUNCT
ejpam-5729	157	1	′	′	NUM
ejpam-5729	157	2	(	(	PUNCT
ejpam-5729	157	3	v	v	NOUN
ejpam-5729	157	4	)	)	PUNCT
ejpam-5729	157	5	dv	dv	PROPN
ejpam-5729	157	6	≥	≥	PROPN
ejpam-5729	157	7	a3	a3	PROPN
ejpam-5729	157	8	(	(	PUNCT
ejpam-5729	157	9	u	u	NOUN
ejpam-5729	157	10	)	)	PUNCT
ejpam-5729	157	11	(	(	PUNCT
ejpam-5729	157	12	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	157	13	′)′	′)′	PUNCT
ejpam-5729	157	14	)	)	PUNCT
ejpam-5729	158	1	′	′	NUM
ejpam-5729	158	2	(	(	PUNCT
ejpam-5729	158	3	u	u	NOUN
ejpam-5729	158	4	)	)	PUNCT
ejpam-5729	158	5	∫	∫	PROPN
ejpam-5729	158	6	u	u	PROPN
ejpam-5729	158	7	u1	u1	PROPN
ejpam-5729	158	8	1	1	NUM
ejpam-5729	158	9	a3	a3	NOUN
ejpam-5729	158	10	(	(	PUNCT
ejpam-5729	158	11	v	v	NOUN
ejpam-5729	158	12	)	)	PUNCT
ejpam-5729	158	13	dv	dv	PROPN
ejpam-5729	158	14	,	,	PUNCT
ejpam-5729	158	15	or	or	CCONJ
ejpam-5729	158	16	a2	a2	PROPN
ejpam-5729	158	17	(	(	PUNCT
ejpam-5729	158	18	u	u	NOUN
ejpam-5729	158	19	)	)	PUNCT
ejpam-5729	158	20	(	(	PUNCT
ejpam-5729	158	21	a1ω	a1ω	PROPN
ejpam-5729	158	22	′)′	′)′	PROPN
ejpam-5729	158	23	(	(	PUNCT
ejpam-5729	158	24	u	u	NOUN
ejpam-5729	158	25	)	)	PUNCT
ejpam-5729	158	26	≥	≥	PROPN
ejpam-5729	158	27	a3	a3	NOUN
ejpam-5729	158	28	(	(	PUNCT
ejpam-5729	158	29	u	u	NOUN
ejpam-5729	158	30	)	)	PUNCT
ejpam-5729	158	31	(	(	PUNCT
ejpam-5729	158	32	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	158	33	′)′	′)′	PUNCT
ejpam-5729	158	34	)	)	PUNCT
ejpam-5729	159	1	′	′	NUM
ejpam-5729	159	2	(	(	PUNCT
ejpam-5729	159	3	u	u	NOUN
ejpam-5729	159	4	)	)	PUNCT
ejpam-5729	159	5	i3	i3	NOUN
ejpam-5729	159	6	(	(	PUNCT
ejpam-5729	159	7	u	u	NOUN
ejpam-5729	159	8	)	)	PUNCT
ejpam-5729	159	9	.	.	PUNCT
ejpam-5729	160	1	integrating	integrate	VERB
ejpam-5729	160	2	from	from	ADP
ejpam-5729	160	3	u1	u1	NOUN
ejpam-5729	160	4	to	to	ADP
ejpam-5729	160	5	u	u	NOUN
ejpam-5729	160	6	,	,	PUNCT
ejpam-5729	160	7	we	we	PRON
ejpam-5729	160	8	get	get	VERB
ejpam-5729	160	9	ω′	ω′	PRON
ejpam-5729	160	10	(	(	PUNCT
ejpam-5729	160	11	u	u	NOUN
ejpam-5729	160	12	)	)	PUNCT
ejpam-5729	160	13	≥	≥	NOUN
ejpam-5729	160	14	1	1	NUM
ejpam-5729	160	15	a1	a1	NOUN
ejpam-5729	160	16	(	(	PUNCT
ejpam-5729	160	17	u	u	NOUN
ejpam-5729	160	18	)	)	PUNCT
ejpam-5729	160	19	∫	∫	PROPN
ejpam-5729	161	1	u	u	PROPN
ejpam-5729	161	2	u1	u1	PROPN
ejpam-5729	161	3	1	1	NUM
ejpam-5729	161	4	a2	a2	PROPN
ejpam-5729	161	5	(	(	PUNCT
ejpam-5729	161	6	ξ	ξ	NOUN
ejpam-5729	161	7	)	)	PUNCT
ejpam-5729	161	8	∫	∫	PROPN
ejpam-5729	161	9	v	v	NUM
ejpam-5729	161	10	u1	u1	PROPN
ejpam-5729	161	11	1	1	NUM
ejpam-5729	161	12	a3	a3	NOUN
ejpam-5729	161	13	(	(	PUNCT
ejpam-5729	161	14	v	v	NOUN
ejpam-5729	161	15	)	)	PUNCT
ejpam-5729	161	16	a3	a3	NOUN
ejpam-5729	161	17	(	(	PUNCT
ejpam-5729	161	18	v	v	NOUN
ejpam-5729	161	19	)	)	PUNCT
ejpam-5729	161	20	(	(	PUNCT
ejpam-5729	161	21	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	161	22	′)′	′)′	PUNCT
ejpam-5729	161	23	)	)	PUNCT
ejpam-5729	162	1	′	′	NUM
ejpam-5729	162	2	(	(	PUNCT
ejpam-5729	162	3	v	v	NOUN
ejpam-5729	162	4	)	)	PUNCT
ejpam-5729	162	5	dvdξ	dvdξ	VERB
ejpam-5729	162	6	≥	≥	PROPN
ejpam-5729	162	7	a3	a3	PROPN
ejpam-5729	162	8	(	(	PUNCT
ejpam-5729	162	9	u	u	NOUN
ejpam-5729	162	10	)	)	PUNCT
ejpam-5729	162	11	(	(	PUNCT
ejpam-5729	162	12	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	162	13	′)′	′)′	PUNCT
ejpam-5729	162	14	)	)	PUNCT
ejpam-5729	163	1	′	′	NUM
ejpam-5729	163	2	(	(	PUNCT
ejpam-5729	163	3	u	u	NOUN
ejpam-5729	163	4	)	)	PUNCT
ejpam-5729	163	5	1	1	NUM
ejpam-5729	163	6	a1	a1	NOUN
ejpam-5729	163	7	(	(	PUNCT
ejpam-5729	163	8	u	u	NOUN
ejpam-5729	163	9	)	)	PUNCT
ejpam-5729	163	10	∫	∫	PROPN
ejpam-5729	163	11	u	u	PROPN
ejpam-5729	163	12	u1	u1	PROPN
ejpam-5729	163	13	1	1	NUM
ejpam-5729	163	14	a2	a2	PROPN
ejpam-5729	163	15	(	(	PUNCT
ejpam-5729	163	16	ξ	ξ	NOUN
ejpam-5729	163	17	)	)	PUNCT
ejpam-5729	163	18	∫	∫	PROPN
ejpam-5729	163	19	v	v	NUM
ejpam-5729	163	20	u1	u1	PROPN
ejpam-5729	163	21	1	1	NUM
ejpam-5729	163	22	a3	a3	NOUN
ejpam-5729	163	23	(	(	PUNCT
ejpam-5729	163	24	v	v	NOUN
ejpam-5729	163	25	)	)	PUNCT
ejpam-5729	163	26	dvdξ	dvdξ	NOUN
ejpam-5729	163	27	.	.	PUNCT
ejpam-5729	164	1	integrating	integrate	VERB
ejpam-5729	164	2	once	once	ADV
ejpam-5729	164	3	more	more	ADV
ejpam-5729	164	4	,	,	PUNCT
ejpam-5729	164	5	we	we	PRON
ejpam-5729	164	6	arrive	arrive	VERB
ejpam-5729	164	7	at	at	ADP
ejpam-5729	164	8	ω	ω	PROPN
ejpam-5729	164	9	(	(	PUNCT
ejpam-5729	164	10	u	u	NOUN
ejpam-5729	164	11	)	)	PUNCT
ejpam-5729	164	12	≥	≥	PROPN
ejpam-5729	164	13	a3	a3	NOUN
ejpam-5729	164	14	(	(	PUNCT
ejpam-5729	164	15	u	u	NOUN
ejpam-5729	164	16	)	)	PUNCT
ejpam-5729	164	17	(	(	PUNCT
ejpam-5729	164	18	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	164	19	′)′	′)′	PUNCT
ejpam-5729	164	20	)	)	PUNCT
ejpam-5729	165	1	′	′	NUM
ejpam-5729	165	2	(	(	PUNCT
ejpam-5729	165	3	u	u	NOUN
ejpam-5729	165	4	)	)	PUNCT
ejpam-5729	165	5	∫	∫	PROPN
ejpam-5729	165	6	u	u	PROPN
ejpam-5729	165	7	u1	u1	PROPN
ejpam-5729	165	8	1	1	NUM
ejpam-5729	165	9	a1	a1	NOUN
ejpam-5729	165	10	(	(	PUNCT
ejpam-5729	165	11	v1	v1	NOUN
ejpam-5729	165	12	)	)	PUNCT
ejpam-5729	165	13	∫	∫	PROPN
ejpam-5729	165	14	v1	v1	PROPN
ejpam-5729	165	15	u1	u1	NOUN
ejpam-5729	165	16	1	1	NUM
ejpam-5729	165	17	a2	a2	PROPN
ejpam-5729	165	18	(	(	PUNCT
ejpam-5729	165	19	ξ	ξ	NOUN
ejpam-5729	165	20	)	)	PUNCT
ejpam-5729	165	21	∫	∫	PROPN
ejpam-5729	165	22	v	v	NUM
ejpam-5729	165	23	u1	u1	PROPN
ejpam-5729	165	24	1	1	NUM
ejpam-5729	165	25	a3	a3	NOUN
ejpam-5729	165	26	(	(	PUNCT
ejpam-5729	165	27	v	v	NOUN
ejpam-5729	165	28	)	)	PUNCT
ejpam-5729	165	29	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	165	30	we	we	PRON
ejpam-5729	165	31	see	see	VERB
ejpam-5729	165	32	that	that	SCONJ
ejpam-5729	165	33	g	g	PROPN
ejpam-5729	165	34	(	(	PUNCT
ejpam-5729	165	35	u	u	NOUN
ejpam-5729	165	36	)	)	PUNCT
ejpam-5729	165	37	=	=	SYM
ejpam-5729	165	38	a3	a3	NOUN
ejpam-5729	165	39	(	(	PUNCT
ejpam-5729	165	40	u	u	NOUN
ejpam-5729	165	41	)	)	PUNCT
ejpam-5729	165	42	(	(	PUNCT
ejpam-5729	165	43	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	165	44	′)′)′	′)′)′	PROPN
ejpam-5729	165	45	(	(	PUNCT
ejpam-5729	165	46	u	u	NOUN
ejpam-5729	165	47	)	)	PUNCT
ejpam-5729	165	48	satisfies	satisfy	VERB
ejpam-5729	165	49	ω	ω	X
ejpam-5729	165	50	(	(	PUNCT
ejpam-5729	165	51	u	u	NOUN
ejpam-5729	165	52	)	)	PUNCT
ejpam-5729	165	53	≥	≥	PROPN
ejpam-5729	165	54	g	g	PROPN
ejpam-5729	165	55	(	(	PUNCT
ejpam-5729	165	56	u	u	NOUN
ejpam-5729	165	57	)	)	PUNCT
ejpam-5729	165	58	∫	∫	PROPN
ejpam-5729	166	1	u	u	PROPN
ejpam-5729	166	2	u1	u1	PROPN
ejpam-5729	166	3	1	1	NUM
ejpam-5729	166	4	a1	a1	NOUN
ejpam-5729	166	5	(	(	PUNCT
ejpam-5729	166	6	v1	v1	NOUN
ejpam-5729	166	7	)	)	PUNCT
ejpam-5729	166	8	∫	∫	PROPN
ejpam-5729	166	9	v1	v1	PROPN
ejpam-5729	166	10	u1	u1	NOUN
ejpam-5729	166	11	1	1	NUM
ejpam-5729	166	12	a2	a2	PROPN
ejpam-5729	166	13	(	(	PUNCT
ejpam-5729	166	14	ξ	ξ	NOUN
ejpam-5729	166	15	)	)	PUNCT
ejpam-5729	166	16	∫	∫	PROPN
ejpam-5729	166	17	v	v	NUM
ejpam-5729	166	18	u1	u1	PROPN
ejpam-5729	166	19	1	1	NUM
ejpam-5729	166	20	a3	a3	NOUN
ejpam-5729	166	21	(	(	PUNCT
ejpam-5729	166	22	v	v	NOUN
ejpam-5729	166	23	)	)	PUNCT
ejpam-5729	166	24	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	166	25	.	.	PUNCT
ejpam-5729	167	1	setting	set	VERB
ejpam-5729	167	2	the	the	DET
ejpam-5729	167	3	last	last	ADJ
ejpam-5729	167	4	estimate	estimate	NOUN
ejpam-5729	167	5	into	into	ADP
ejpam-5729	167	6	(	(	PUNCT
ejpam-5729	167	7	a3(a2(a1ω	a3(a2(a1ω	PROPN
ejpam-5729	167	8	′)′)′	′)′)′	PROPN
ejpam-5729	167	9	)	)	PUNCT
ejpam-5729	167	10	′	′	NUM
ejpam-5729	167	11	(	(	PUNCT
ejpam-5729	167	12	u	u	NOUN
ejpam-5729	167	13	)	)	PUNCT
ejpam-5729	167	14	+	+	NOUN
ejpam-5729	167	15	q	q	X
ejpam-5729	167	16	(	(	PUNCT
ejpam-5729	167	17	u	u	NOUN
ejpam-5729	167	18	)	)	PUNCT
ejpam-5729	167	19	ω	ω	PROPN
ejpam-5729	167	20	(	(	PUNCT
ejpam-5729	167	21	ρ	ρ	PROPN
ejpam-5729	167	22	(	(	PUNCT
ejpam-5729	167	23	u	u	NOUN
ejpam-5729	167	24	)	)	PUNCT
ejpam-5729	167	25	)	)	PUNCT
ejpam-5729	167	26	≤	≤	ADV
ejpam-5729	167	27	0	0	X
ejpam-5729	167	28	.	.	PUNCT
ejpam-5729	168	1	we	we	PRON
ejpam-5729	168	2	note	note	VERB
ejpam-5729	168	3	that	that	SCONJ
ejpam-5729	168	4	g	g	PROPN
ejpam-5729	168	5	(	(	PUNCT
ejpam-5729	168	6	u	u	NOUN
ejpam-5729	168	7	)	)	PUNCT
ejpam-5729	168	8	is	be	AUX
ejpam-5729	168	9	a	a	DET
ejpam-5729	168	10	positive	positive	ADJ
ejpam-5729	168	11	solution	solution	NOUN
ejpam-5729	168	12	of	of	ADP
ejpam-5729	168	13	the	the	DET
ejpam-5729	168	14	first	first	ADJ
ejpam-5729	168	15	-	-	PUNCT
ejpam-5729	168	16	order	order	NOUN
ejpam-5729	168	17	dd	dd	NOUN
ejpam-5729	168	18	inequality	inequality	NOUN
ejpam-5729	168	19	g′	g′	NOUN
ejpam-5729	168	20	(	(	PUNCT
ejpam-5729	168	21	u	u	NOUN
ejpam-5729	168	22	)	)	PUNCT
ejpam-5729	168	23	+	+	NOUN
ejpam-5729	168	24	r2	r2	PROPN
ejpam-5729	168	25	(	(	PUNCT
ejpam-5729	168	26	u	u	NOUN
ejpam-5729	168	27	)	)	PUNCT
ejpam-5729	168	28	g	g	PROPN
ejpam-5729	168	29	(	(	PUNCT
ejpam-5729	168	30	ρ	ρ	PROPN
ejpam-5729	168	31	(	(	PUNCT
ejpam-5729	168	32	u	u	NOUN
ejpam-5729	168	33	)	)	PUNCT
ejpam-5729	168	34	)	)	PUNCT
ejpam-5729	168	35	≤	≤	NUM
ejpam-5729	168	36	0	0	X
ejpam-5729	168	37	.	.	PUNCT
ejpam-5729	169	1	therefore	therefore	ADV
ejpam-5729	169	2	,	,	PUNCT
ejpam-5729	169	3	we	we	PRON
ejpam-5729	169	4	conclude	conclude	VERB
ejpam-5729	169	5	that	that	SCONJ
ejpam-5729	169	6	the	the	DET
ejpam-5729	169	7	related	related	ADJ
ejpam-5729	169	8	de	de	X
ejpam-5729	169	9	(	(	PUNCT
ejpam-5729	169	10	7	7	NUM
ejpam-5729	169	11	)	)	PUNCT
ejpam-5729	169	12	as	as	ADV
ejpam-5729	169	13	well	well	ADV
ejpam-5729	169	14	has	have	VERB
ejpam-5729	169	15	a	a	DET
ejpam-5729	169	16	positive	positive	ADJ
ejpam-5729	169	17	solution	solution	NOUN
ejpam-5729	169	18	by	by	ADP
ejpam-5729	169	19	applying	apply	VERB
ejpam-5729	169	20	the	the	DET
ejpam-5729	169	21	philos	philo	NOUN
ejpam-5729	169	22	theorem	theorem	NOUN
ejpam-5729	169	23	[	[	X
ejpam-5729	169	24	41	41	NUM
ejpam-5729	169	25	]	]	X
ejpam-5729	169	26	;	;	PUNCT
ejpam-5729	169	27	this	this	PRON
ejpam-5729	169	28	contradicts	contradict	VERB
ejpam-5729	169	29	the	the	DET
ejpam-5729	169	30	assumptions	assumption	NOUN
ejpam-5729	169	31	made	make	VERB
ejpam-5729	169	32	at	at	ADP
ejpam-5729	169	33	the	the	DET
ejpam-5729	169	34	beginning	beginning	NOUN
ejpam-5729	169	35	of	of	ADP
ejpam-5729	169	36	the	the	DET
ejpam-5729	169	37	theorem	theorem	NOUN
ejpam-5729	169	38	.	.	PUNCT
ejpam-5729	170	1	this	this	PRON
ejpam-5729	170	2	ends	end	VERB
ejpam-5729	170	3	the	the	DET
ejpam-5729	170	4	proof	proof	NOUN
ejpam-5729	170	5	.	.	PUNCT
ejpam-5729	171	1	corollary	corollary	ADJ
ejpam-5729	171	2	1	1	NUM
ejpam-5729	171	3	.	.	PUNCT
ejpam-5729	172	1	let	let	VERB
ejpam-5729	172	2	(	(	PUNCT
ejpam-5729	172	3	2	2	X
ejpam-5729	172	4	)	)	PUNCT
ejpam-5729	172	5	hold	hold	NOUN
ejpam-5729	172	6	.	.	PUNCT
ejpam-5729	173	1	if	if	SCONJ
ejpam-5729	173	2	lim	lim	PROPN
ejpam-5729	173	3	inf	inf	PROPN
ejpam-5729	173	4	u→∞	u→∞	NUM
ejpam-5729	173	5	∫	∫	PROPN
ejpam-5729	173	6	u	u	PROPN
ejpam-5729	173	7	κ(u	κ(u	PROPN
ejpam-5729	173	8	)	)	PUNCT
ejpam-5729	173	9	ri	ri	NOUN
ejpam-5729	173	10	(	(	PUNCT
ejpam-5729	173	11	ξ	ξ	PROPN
ejpam-5729	173	12	)	)	PUNCT
ejpam-5729	173	13	dξ	dξ	PROPN
ejpam-5729	173	14	>	>	X
ejpam-5729	173	15	1	1	NUM
ejpam-5729	173	16	e	e	NOUN
ejpam-5729	173	17	,	,	PUNCT
ejpam-5729	173	18	(	(	PUNCT
ejpam-5729	173	19	11	11	NUM
ejpam-5729	173	20	)	)	PUNCT
ejpam-5729	173	21	for	for	ADP
ejpam-5729	173	22	i	i	PRON
ejpam-5729	173	23	=	=	SYM
ejpam-5729	173	24	1	1	NUM
ejpam-5729	173	25	,	,	PUNCT
ejpam-5729	173	26	2	2	NUM
ejpam-5729	173	27	,	,	PUNCT
ejpam-5729	173	28	then	then	ADV
ejpam-5729	173	29	(	(	PUNCT
ejpam-5729	173	30	1	1	X
ejpam-5729	173	31	)	)	PUNCT
ejpam-5729	173	32	is	be	AUX
ejpam-5729	173	33	oscillatory	oscillatory	ADJ
ejpam-5729	173	34	.	.	PUNCT
ejpam-5729	174	1	w.	w.	PROPN
ejpam-5729	174	2	muhsin	muhsin	PROPN
ejpam-5729	174	3	et	et	PROPN
ejpam-5729	174	4	al	al	PROPN
ejpam-5729	174	5	.	.	PUNCT
ejpam-5729	174	6	/	/	SYM
ejpam-5729	174	7	eur	eur	PROPN
ejpam-5729	174	8	.	.	PUNCT
ejpam-5729	175	1	j.	j.	PROPN
ejpam-5729	175	2	pure	pure	PROPN
ejpam-5729	175	3	appl	appl	PROPN
ejpam-5729	175	4	.	.	PROPN
ejpam-5729	175	5	math	math	PROPN
ejpam-5729	175	6	,	,	PUNCT
ejpam-5729	175	7	18	18	NUM
ejpam-5729	175	8	(	(	PUNCT
ejpam-5729	175	9	1	1	NUM
ejpam-5729	175	10	)	)	PUNCT
ejpam-5729	175	11	(	(	PUNCT
ejpam-5729	175	12	2025	2025	NUM
ejpam-5729	175	13	)	)	PUNCT
ejpam-5729	175	14	,	,	PUNCT
ejpam-5729	175	15	5729	5729	NUM
ejpam-5729	175	16	9	9	NUM
ejpam-5729	175	17	of	of	ADP
ejpam-5729	175	18	17	17	NUM
ejpam-5729	175	19	2.2	2.2	NUM
ejpam-5729	175	20	.	.	PUNCT
ejpam-5729	176	1	improved	improve	VERB
ejpam-5729	176	2	criteria	criterion	NOUN
ejpam-5729	176	3	to	to	PART
ejpam-5729	176	4	be	be	AUX
ejpam-5729	176	5	clear	clear	ADJ
ejpam-5729	176	6	,	,	PUNCT
ejpam-5729	176	7	let	let	VERB
ejpam-5729	176	8	u1	u1	NOUN
ejpam-5729	176	9	(	(	PUNCT
ejpam-5729	176	10	u	u	NOUN
ejpam-5729	176	11	)	)	PUNCT
ejpam-5729	176	12	:	:	PUNCT
ejpam-5729	177	1	=	=	PUNCT
ejpam-5729	177	2	γ∑	γ∑	ADP
ejpam-5729	177	3	t=0	t=0	PROPN
ejpam-5729	177	4	(	(	PUNCT
ejpam-5729	177	5	2t∏	2t∏	NUM
ejpam-5729	177	6	m=0	m=0	PROPN
ejpam-5729	177	7	h	h	PROPN
ejpam-5729	177	8	(	(	PUNCT
ejpam-5729	177	9	κ[m	κ[m	PROPN
ejpam-5729	177	10	]	]	X
ejpam-5729	177	11	(	(	PUNCT
ejpam-5729	177	12	u	u	NOUN
ejpam-5729	177	13	)	)	PUNCT
ejpam-5729	177	14	)	)	PUNCT
ejpam-5729	177	15	)	)	PUNCT
ejpam-5729	178	1	[	[	PUNCT
ejpam-5729	178	2	1	1	NUM
ejpam-5729	178	3	h	h	NOUN
ejpam-5729	178	4	(	(	PUNCT
ejpam-5729	178	5	κ(2	κ(2	PROPN
ejpam-5729	178	6	t	t	PROPN
ejpam-5729	178	7	)	)	PUNCT
ejpam-5729	178	8	(	(	PUNCT
ejpam-5729	178	9	u	u	NOUN
ejpam-5729	178	10	)	)	PUNCT
ejpam-5729	178	11	)	)	PUNCT
ejpam-5729	179	1	−	−	PROPN
ejpam-5729	180	1	1	1	NUM
ejpam-5729	180	2	]	]	PUNCT
ejpam-5729	180	3	i123	i123	PROPN
ejpam-5729	180	4	(	(	PUNCT
ejpam-5729	180	5	κ[2	κ[2	PROPN
ejpam-5729	180	6	t	t	X
ejpam-5729	180	7	]	]	PUNCT
ejpam-5729	180	8	(	(	PUNCT
ejpam-5729	180	9	u	u	NOUN
ejpam-5729	180	10	)	)	PUNCT
ejpam-5729	180	11	)	)	PUNCT
ejpam-5729	181	1	i123	i123	PROPN
ejpam-5729	181	2	(	(	PUNCT
ejpam-5729	181	3	u	u	NOUN
ejpam-5729	181	4	)	)	PUNCT
ejpam-5729	181	5	q	q	NOUN
ejpam-5729	181	6	(	(	PUNCT
ejpam-5729	181	7	u	u	NOUN
ejpam-5729	181	8	)	)	PUNCT
ejpam-5729	181	9	,	,	PUNCT
ejpam-5729	181	10	u2	u2	PROPN
ejpam-5729	181	11	(	(	PUNCT
ejpam-5729	181	12	u	u	NOUN
ejpam-5729	181	13	)	)	PUNCT
ejpam-5729	181	14	:	:	PUNCT
ejpam-5729	182	1	=	=	PUNCT
ejpam-5729	182	2	γ∑	γ∑	ADP
ejpam-5729	182	3	t=0	t=0	PROPN
ejpam-5729	182	4	(	(	PUNCT
ejpam-5729	182	5	2t∏	2t∏	NUM
ejpam-5729	182	6	m=0	m=0	PROPN
ejpam-5729	182	7	h	h	PROPN
ejpam-5729	182	8	(	(	PUNCT
ejpam-5729	182	9	κ(m	κ(m	PROPN
ejpam-5729	182	10	)	)	PUNCT
ejpam-5729	182	11	(	(	PUNCT
ejpam-5729	182	12	u	u	NOUN
ejpam-5729	182	13	)	)	PUNCT
ejpam-5729	182	14	)	)	PUNCT
ejpam-5729	182	15	)	)	PUNCT
ejpam-5729	183	1	[	[	PUNCT
ejpam-5729	183	2	1	1	NUM
ejpam-5729	183	3	h	h	NOUN
ejpam-5729	183	4	(	(	PUNCT
ejpam-5729	183	5	κ(2	κ(2	PROPN
ejpam-5729	183	6	t	t	PROPN
ejpam-5729	183	7	)	)	PUNCT
ejpam-5729	183	8	(	(	PUNCT
ejpam-5729	183	9	u	u	NOUN
ejpam-5729	183	10	)	)	PUNCT
ejpam-5729	183	11	)	)	PUNCT
ejpam-5729	184	1	−	−	PROPN
ejpam-5729	184	2	1	1	NUM
ejpam-5729	184	3	]	]	PUNCT
ejpam-5729	184	4	i1	i1	PROPN
ejpam-5729	184	5	(	(	PUNCT
ejpam-5729	184	6	κ(2	κ(2	PROPN
ejpam-5729	184	7	t	t	PROPN
ejpam-5729	184	8	)	)	PUNCT
ejpam-5729	184	9	(	(	PUNCT
ejpam-5729	184	10	u	u	NOUN
ejpam-5729	184	11	)	)	PUNCT
ejpam-5729	184	12	)	)	PUNCT
ejpam-5729	185	1	i1	i1	PROPN
ejpam-5729	185	2	(	(	PUNCT
ejpam-5729	185	3	u	u	NOUN
ejpam-5729	185	4	)	)	PUNCT
ejpam-5729	185	5	q	q	NOUN
ejpam-5729	185	6	(	(	PUNCT
ejpam-5729	185	7	u	u	NOUN
ejpam-5729	185	8	)	)	PUNCT
ejpam-5729	185	9	,	,	PUNCT
ejpam-5729	185	10	s1	s1	PROPN
ejpam-5729	185	11	(	(	PUNCT
ejpam-5729	185	12	u	u	NOUN
ejpam-5729	185	13	)	)	PUNCT
ejpam-5729	185	14	:	:	PUNCT
ejpam-5729	185	15	=	=	SYM
ejpam-5729	185	16	(	(	PUNCT
ejpam-5729	185	17	1	1	NUM
ejpam-5729	185	18	a2	a2	PROPN
ejpam-5729	185	19	(	(	PUNCT
ejpam-5729	185	20	u	u	NOUN
ejpam-5729	185	21	)	)	PUNCT
ejpam-5729	185	22	∫	∫	PROPN
ejpam-5729	185	23	∞	∞	PROPN
ejpam-5729	185	24	u	u	PROPN
ejpam-5729	185	25	1	1	NUM
ejpam-5729	185	26	a3	a3	NOUN
ejpam-5729	185	27	(	(	PUNCT
ejpam-5729	185	28	ξ	ξ	NOUN
ejpam-5729	185	29	)	)	PUNCT
ejpam-5729	185	30	∫	∫	PROPN
ejpam-5729	185	31	∞	∞	PROPN
ejpam-5729	185	32	v	v	PROPN
ejpam-5729	185	33	u1	u1	NOUN
ejpam-5729	185	34	(	(	PUNCT
ejpam-5729	185	35	v	v	NOUN
ejpam-5729	185	36	)	)	PUNCT
ejpam-5729	185	37	dvdξ	dvdξ	NOUN
ejpam-5729	185	38	)	)	PUNCT
ejpam-5729	185	39	∫	∫	PROPN
ejpam-5729	185	40	ρ(u	ρ(u	PROPN
ejpam-5729	185	41	)	)	PUNCT
ejpam-5729	185	42	u1	u1	NOUN
ejpam-5729	185	43	1	1	NUM
ejpam-5729	185	44	a1	a1	NOUN
ejpam-5729	185	45	(	(	PUNCT
ejpam-5729	185	46	v	v	NOUN
ejpam-5729	185	47	)	)	PUNCT
ejpam-5729	185	48	dv	dv	PROPN
ejpam-5729	185	49	,	,	PUNCT
ejpam-5729	185	50	and	and	CCONJ
ejpam-5729	185	51	s2	s2	PROPN
ejpam-5729	185	52	(	(	PUNCT
ejpam-5729	185	53	u	u	NOUN
ejpam-5729	185	54	)	)	PUNCT
ejpam-5729	185	55	:	:	PUNCT
ejpam-5729	185	56	=	=	PUNCT
ejpam-5729	185	57	u2	u2	PROPN
ejpam-5729	185	58	(	(	PUNCT
ejpam-5729	185	59	u	u	NOUN
ejpam-5729	185	60	)	)	PUNCT
ejpam-5729	185	61	∫	∫	PROPN
ejpam-5729	185	62	u	u	PROPN
ejpam-5729	185	63	u1	u1	PROPN
ejpam-5729	185	64	1	1	NUM
ejpam-5729	185	65	a1	a1	NOUN
ejpam-5729	185	66	(	(	PUNCT
ejpam-5729	185	67	v1	v1	NOUN
ejpam-5729	185	68	)	)	PUNCT
ejpam-5729	185	69	∫	∫	PROPN
ejpam-5729	185	70	v1	v1	PROPN
ejpam-5729	185	71	u1	u1	NOUN
ejpam-5729	185	72	1	1	NUM
ejpam-5729	185	73	a2	a2	PROPN
ejpam-5729	185	74	(	(	PUNCT
ejpam-5729	185	75	ξ	ξ	NOUN
ejpam-5729	185	76	)	)	PUNCT
ejpam-5729	185	77	∫	∫	PROPN
ejpam-5729	185	78	v	v	NUM
ejpam-5729	185	79	u1	u1	PROPN
ejpam-5729	185	80	1	1	NUM
ejpam-5729	185	81	a3	a3	NOUN
ejpam-5729	185	82	(	(	PUNCT
ejpam-5729	185	83	v	v	NOUN
ejpam-5729	185	84	)	)	PUNCT
ejpam-5729	185	85	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	185	86	,	,	PUNCT
ejpam-5729	185	87	for	for	ADP
ejpam-5729	185	88	any	any	DET
ejpam-5729	185	89	integer	integer	NOUN
ejpam-5729	185	90	γ	γ	X
ejpam-5729	185	91	≥	≥	NUM
ejpam-5729	185	92	0	0	NUM
ejpam-5729	185	93	.	.	PUNCT
ejpam-5729	186	1	we	we	PRON
ejpam-5729	186	2	prove	prove	VERB
ejpam-5729	186	3	the	the	DET
ejpam-5729	186	4	following	follow	VERB
ejpam-5729	186	5	results	result	NOUN
ejpam-5729	186	6	,	,	PUNCT
ejpam-5729	186	7	which	which	PRON
ejpam-5729	186	8	provide	provide	VERB
ejpam-5729	186	9	details	detail	NOUN
ejpam-5729	186	10	about	about	ADP
ejpam-5729	186	11	the	the	DET
ejpam-5729	186	12	behavior	behavior	NOUN
ejpam-5729	186	13	of	of	ADP
ejpam-5729	186	14	the	the	DET
ejpam-5729	186	15	positive	positive	ADJ
ejpam-5729	186	16	solutions	solution	NOUN
ejpam-5729	186	17	l+	l+	PROPN
ejpam-5729	186	18	.	.	PUNCT
ejpam-5729	187	1	lemma	lemma	PROPN
ejpam-5729	187	2	4	4	X
ejpam-5729	187	3	.	.	PUNCT
ejpam-5729	187	4	assume	assume	VERB
ejpam-5729	187	5	that	that	SCONJ
ejpam-5729	187	6	x	x	SYM
ejpam-5729	187	7	∈	∈	PROPN
ejpam-5729	187	8	l+	l+	NOUN
ejpam-5729	187	9	.	.	PUNCT
ejpam-5729	188	1	then	then	ADV
ejpam-5729	188	2	,	,	PUNCT
ejpam-5729	188	3	eventually	eventually	ADV
ejpam-5729	188	4	,	,	PUNCT
ejpam-5729	188	5	(	(	PUNCT
ejpam-5729	188	6	a3	a3	NOUN
ejpam-5729	188	7	(	(	PUNCT
ejpam-5729	188	8	u	u	NOUN
ejpam-5729	188	9	)	)	PUNCT
ejpam-5729	188	10	(	(	PUNCT
ejpam-5729	188	11	a2	a2	PROPN
ejpam-5729	188	12	(	(	PUNCT
ejpam-5729	188	13	u	u	NOUN
ejpam-5729	188	14	)	)	PUNCT
ejpam-5729	188	15	(	(	PUNCT
ejpam-5729	188	16	a1	a1	NOUN
ejpam-5729	188	17	(	(	PUNCT
ejpam-5729	188	18	u	u	NOUN
ejpam-5729	188	19	)	)	PUNCT
ejpam-5729	188	20	ω	ω	NUM
ejpam-5729	188	21	′	′	NUM
ejpam-5729	188	22	(	(	PUNCT
ejpam-5729	188	23	u))′)′	u))′)′	ADJ
ejpam-5729	188	24	)	)	PUNCT
ejpam-5729	188	25	′	′	NUM
ejpam-5729	189	1	+	+	NUM
ejpam-5729	189	2	u1	u1	PROPN
ejpam-5729	189	3	(	(	PUNCT
ejpam-5729	189	4	ρ	ρ	PROPN
ejpam-5729	189	5	(	(	PUNCT
ejpam-5729	189	6	u	u	NOUN
ejpam-5729	189	7	)	)	PUNCT
ejpam-5729	189	8	)	)	PUNCT
ejpam-5729	190	1	ω	ω	PROPN
ejpam-5729	190	2	(	(	PUNCT
ejpam-5729	190	3	ρ	ρ	PROPN
ejpam-5729	190	4	(	(	PUNCT
ejpam-5729	190	5	u	u	NOUN
ejpam-5729	190	6	)	)	PUNCT
ejpam-5729	190	7	)	)	PUNCT
ejpam-5729	190	8	≤	≤	ADV
ejpam-5729	190	9	0	0	NUM
ejpam-5729	190	10	.	.	PUNCT
ejpam-5729	191	1	(	(	PUNCT
ejpam-5729	191	2	12	12	NUM
ejpam-5729	191	3	)	)	PUNCT
ejpam-5729	191	4	proof	proof	NOUN
ejpam-5729	191	5	.	.	PUNCT
ejpam-5729	192	1	assume	assume	VERB
ejpam-5729	192	2	that	that	SCONJ
ejpam-5729	192	3	x	x	SYM
ejpam-5729	192	4	∈	∈	PROPN
ejpam-5729	192	5	l+	l+	NOUN
ejpam-5729	192	6	.	.	PUNCT
ejpam-5729	193	1	we	we	PRON
ejpam-5729	193	2	obtain	obtain	VERB
ejpam-5729	193	3	a2	a2	PROPN
ejpam-5729	193	4	(	(	PUNCT
ejpam-5729	193	5	u	u	NOUN
ejpam-5729	193	6	)	)	PUNCT
ejpam-5729	193	7	(	(	PUNCT
ejpam-5729	193	8	a1ω	a1ω	PROPN
ejpam-5729	193	9	′)′	′)′	PROPN
ejpam-5729	193	10	(	(	PUNCT
ejpam-5729	193	11	u	u	NOUN
ejpam-5729	193	12	)	)	PUNCT
ejpam-5729	193	13	≥	≥	NUM
ejpam-5729	193	14	∫	∫	NOUN
ejpam-5729	193	15	u	u	PROPN
ejpam-5729	193	16	u1	u1	PROPN
ejpam-5729	193	17	1	1	NUM
ejpam-5729	193	18	a3	a3	NOUN
ejpam-5729	193	19	(	(	PUNCT
ejpam-5729	193	20	v	v	NOUN
ejpam-5729	193	21	)	)	PUNCT
ejpam-5729	193	22	a3	a3	NOUN
ejpam-5729	193	23	(	(	PUNCT
ejpam-5729	193	24	v	v	NOUN
ejpam-5729	193	25	)	)	PUNCT
ejpam-5729	193	26	(	(	PUNCT
ejpam-5729	193	27	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	193	28	′)′	′)′	PUNCT
ejpam-5729	193	29	)	)	PUNCT
ejpam-5729	194	1	′	′	NUM
ejpam-5729	194	2	(	(	PUNCT
ejpam-5729	194	3	v	v	NOUN
ejpam-5729	194	4	)	)	PUNCT
ejpam-5729	194	5	dv	dv	PROPN
ejpam-5729	194	6	≥	≥	PROPN
ejpam-5729	194	7	a3	a3	PROPN
ejpam-5729	194	8	(	(	PUNCT
ejpam-5729	194	9	u	u	NOUN
ejpam-5729	194	10	)	)	PUNCT
ejpam-5729	194	11	(	(	PUNCT
ejpam-5729	194	12	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	194	13	′)′	′)′	PUNCT
ejpam-5729	194	14	)	)	PUNCT
ejpam-5729	195	1	′	′	NUM
ejpam-5729	195	2	(	(	PUNCT
ejpam-5729	195	3	u	u	NOUN
ejpam-5729	195	4	)	)	PUNCT
ejpam-5729	195	5	∫	∫	PROPN
ejpam-5729	195	6	u	u	PROPN
ejpam-5729	195	7	u1	u1	PROPN
ejpam-5729	195	8	1	1	NUM
ejpam-5729	195	9	a3	a3	NOUN
ejpam-5729	195	10	(	(	PUNCT
ejpam-5729	195	11	v	v	NOUN
ejpam-5729	195	12	)	)	PUNCT
ejpam-5729	195	13	dv	dv	PROPN
ejpam-5729	195	14	≥	≥	PROPN
ejpam-5729	195	15	a3	a3	PROPN
ejpam-5729	195	16	(	(	PUNCT
ejpam-5729	195	17	u	u	NOUN
ejpam-5729	195	18	)	)	PUNCT
ejpam-5729	195	19	(	(	PUNCT
ejpam-5729	195	20	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	195	21	′)′	′)′	PUNCT
ejpam-5729	195	22	)	)	PUNCT
ejpam-5729	196	1	′	′	NUM
ejpam-5729	196	2	(	(	PUNCT
ejpam-5729	196	3	u	u	NOUN
ejpam-5729	196	4	)	)	PUNCT
ejpam-5729	196	5	i3	i3	NOUN
ejpam-5729	196	6	(	(	PUNCT
ejpam-5729	196	7	u	u	NOUN
ejpam-5729	196	8	)	)	PUNCT
ejpam-5729	196	9	,	,	PUNCT
ejpam-5729	196	10	(	(	PUNCT
ejpam-5729	196	11	13	13	NUM
ejpam-5729	196	12	)	)	PUNCT
ejpam-5729	196	13	hence	hence	ADV
ejpam-5729	196	14	,	,	PUNCT
ejpam-5729	196	15	a3	a3	NOUN
ejpam-5729	196	16	(	(	PUNCT
ejpam-5729	196	17	u	u	NOUN
ejpam-5729	196	18	)	)	PUNCT
ejpam-5729	196	19	(	(	PUNCT
ejpam-5729	196	20	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	196	21	′)′	′)′	PUNCT
ejpam-5729	196	22	)	)	PUNCT
ejpam-5729	197	1	′	′	NUM
ejpam-5729	197	2	(	(	PUNCT
ejpam-5729	197	3	u	u	NOUN
ejpam-5729	197	4	)	)	PUNCT
ejpam-5729	197	5	i3	i3	NOUN
ejpam-5729	197	6	(	(	PUNCT
ejpam-5729	197	7	u)−	u)−	PROPN
ejpam-5729	197	8	a2	a2	PROPN
ejpam-5729	197	9	(	(	PUNCT
ejpam-5729	197	10	u	u	NOUN
ejpam-5729	197	11	)	)	PUNCT
ejpam-5729	197	12	(	(	PUNCT
ejpam-5729	197	13	a1ω	a1ω	PROPN
ejpam-5729	197	14	′)′	′)′	PROPN
ejpam-5729	197	15	(	(	PUNCT
ejpam-5729	197	16	u	u	NOUN
ejpam-5729	197	17	)	)	PUNCT
ejpam-5729	197	18	≤	≤	NOUN
ejpam-5729	197	19	0	0	NUM
ejpam-5729	197	20	,	,	PUNCT
ejpam-5729	197	21	this	this	PRON
ejpam-5729	197	22	implies	imply	VERB
ejpam-5729	197	23	(	(	PUNCT
ejpam-5729	197	24	a2	a2	PROPN
ejpam-5729	197	25	(	(	PUNCT
ejpam-5729	197	26	u	u	NOUN
ejpam-5729	197	27	)	)	PUNCT
ejpam-5729	197	28	(	(	PUNCT
ejpam-5729	197	29	a1ω	a1ω	PROPN
ejpam-5729	197	30	′)′	′)′	PROPN
ejpam-5729	197	31	(	(	PUNCT
ejpam-5729	197	32	u	u	NOUN
ejpam-5729	197	33	)	)	PUNCT
ejpam-5729	197	34	i3	i3	NOUN
ejpam-5729	197	35	(	(	PUNCT
ejpam-5729	197	36	u	u	NOUN
ejpam-5729	197	37	)	)	PUNCT
ejpam-5729	197	38	)	)	PUNCT
ejpam-5729	197	39	′	′	NUM
ejpam-5729	198	1	=	=	SYM
ejpam-5729	198	2	i3	i3	NOUN
ejpam-5729	198	3	(	(	PUNCT
ejpam-5729	198	4	u	u	NOUN
ejpam-5729	198	5	)	)	PUNCT
ejpam-5729	198	6	a3	a3	NOUN
ejpam-5729	198	7	(	(	PUNCT
ejpam-5729	198	8	u	u	NOUN
ejpam-5729	198	9	)	)	PUNCT
ejpam-5729	198	10	(	(	PUNCT
ejpam-5729	198	11	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	198	12	′)′)′	′)′)′	PROPN
ejpam-5729	198	13	(	(	PUNCT
ejpam-5729	198	14	u)−	u)−	PROPN
ejpam-5729	198	15	a2	a2	PROPN
ejpam-5729	198	16	(	(	PUNCT
ejpam-5729	198	17	u	u	NOUN
ejpam-5729	198	18	)	)	PUNCT
ejpam-5729	198	19	(	(	PUNCT
ejpam-5729	198	20	a1ω	a1ω	PROPN
ejpam-5729	198	21	′)′	′)′	PROPN
ejpam-5729	198	22	(	(	PUNCT
ejpam-5729	198	23	u	u	NOUN
ejpam-5729	198	24	)	)	PUNCT
ejpam-5729	198	25	a3	a3	NOUN
ejpam-5729	198	26	(	(	PUNCT
ejpam-5729	198	27	u	u	NOUN
ejpam-5729	198	28	)	)	PUNCT
ejpam-5729	198	29	i23	i23	PROPN
ejpam-5729	198	30	(	(	PUNCT
ejpam-5729	198	31	u	u	NOUN
ejpam-5729	198	32	)	)	PUNCT
ejpam-5729	198	33	=	=	SYM
ejpam-5729	198	34	1	1	NUM
ejpam-5729	198	35	a3	a3	NOUN
ejpam-5729	198	36	(	(	PUNCT
ejpam-5729	198	37	u	u	NOUN
ejpam-5729	198	38	)	)	PUNCT
ejpam-5729	198	39	i23	i23	PROPN
ejpam-5729	198	40	(	(	PUNCT
ejpam-5729	198	41	u	u	NOUN
ejpam-5729	198	42	)	)	PUNCT
ejpam-5729	198	43	[	[	PUNCT
ejpam-5729	198	44	i3	i3	NOUN
ejpam-5729	198	45	(	(	PUNCT
ejpam-5729	198	46	u	u	NOUN
ejpam-5729	198	47	)	)	PUNCT
ejpam-5729	198	48	a3	a3	NOUN
ejpam-5729	198	49	(	(	PUNCT
ejpam-5729	198	50	u	u	NOUN
ejpam-5729	198	51	)	)	PUNCT
ejpam-5729	198	52	(	(	PUNCT
ejpam-5729	198	53	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	198	54	′)′	′)′	PUNCT
ejpam-5729	198	55	)	)	PUNCT
ejpam-5729	198	56	′	′	NUM
ejpam-5729	199	1	(	(	PUNCT
ejpam-5729	199	2	u)−	u)−	PROPN
ejpam-5729	199	3	a2	a2	PROPN
ejpam-5729	199	4	(	(	PUNCT
ejpam-5729	199	5	u	u	NOUN
ejpam-5729	199	6	)	)	PUNCT
ejpam-5729	199	7	(	(	PUNCT
ejpam-5729	199	8	a1ω	a1ω	PROPN
ejpam-5729	199	9	′)′	′)′	PROPN
ejpam-5729	199	10	(	(	PUNCT
ejpam-5729	199	11	u	u	NOUN
ejpam-5729	199	12	)	)	PUNCT
ejpam-5729	199	13	]	]	PUNCT
ejpam-5729	200	1	≤	≤	NUM
ejpam-5729	200	2	0	0	NUM
ejpam-5729	200	3	.	.	PUNCT
ejpam-5729	201	1	(	(	PUNCT
ejpam-5729	201	2	14	14	NUM
ejpam-5729	201	3	)	)	PUNCT
ejpam-5729	201	4	applying	apply	VERB
ejpam-5729	201	5	this	this	DET
ejpam-5729	201	6	information	information	NOUN
ejpam-5729	201	7	,	,	PUNCT
ejpam-5729	201	8	we	we	PRON
ejpam-5729	201	9	determine	determine	VERB
ejpam-5729	201	10	that	that	DET
ejpam-5729	201	11	a1	a1	NOUN
ejpam-5729	201	12	(	(	PUNCT
ejpam-5729	201	13	u	u	NOUN
ejpam-5729	201	14	)	)	PUNCT
ejpam-5729	201	15	ω	ω	NUM
ejpam-5729	201	16	′	′	NUM
ejpam-5729	201	17	(	(	PUNCT
ejpam-5729	201	18	u	u	NOUN
ejpam-5729	201	19	)	)	PUNCT
ejpam-5729	201	20	≥	≥	NUM
ejpam-5729	201	21	∫	∫	PROPN
ejpam-5729	201	22	u	u	PROPN
ejpam-5729	201	23	u1	u1	PROPN
ejpam-5729	201	24	i3	i3	NOUN
ejpam-5729	201	25	(	(	PUNCT
ejpam-5729	201	26	v	v	NOUN
ejpam-5729	201	27	)	)	PUNCT
ejpam-5729	201	28	a2	a2	PROPN
ejpam-5729	201	29	(	(	PUNCT
ejpam-5729	201	30	v	v	NOUN
ejpam-5729	201	31	)	)	PUNCT
ejpam-5729	201	32	(	(	PUNCT
ejpam-5729	201	33	a1ω	a1ω	PROPN
ejpam-5729	201	34	′)′	′)′	PROPN
ejpam-5729	201	35	(	(	PUNCT
ejpam-5729	201	36	v	v	NOUN
ejpam-5729	201	37	)	)	PUNCT
ejpam-5729	201	38	a2	a2	PROPN
ejpam-5729	201	39	(	(	PUNCT
ejpam-5729	201	40	v	v	NOUN
ejpam-5729	201	41	)	)	PUNCT
ejpam-5729	201	42	i3	i3	NOUN
ejpam-5729	201	43	(	(	PUNCT
ejpam-5729	201	44	v	v	NOUN
ejpam-5729	201	45	)	)	PUNCT
ejpam-5729	201	46	dv	dv	PROPN
ejpam-5729	201	47	≥	≥	PROPN
ejpam-5729	201	48	a2	a2	PROPN
ejpam-5729	201	49	(	(	PUNCT
ejpam-5729	201	50	u	u	NOUN
ejpam-5729	201	51	)	)	PUNCT
ejpam-5729	201	52	(	(	PUNCT
ejpam-5729	201	53	a1ω	a1ω	PROPN
ejpam-5729	201	54	′)′	′)′	PROPN
ejpam-5729	201	55	(	(	PUNCT
ejpam-5729	201	56	u	u	NOUN
ejpam-5729	201	57	)	)	PUNCT
ejpam-5729	201	58	i3	i3	NOUN
ejpam-5729	201	59	(	(	PUNCT
ejpam-5729	201	60	u	u	NOUN
ejpam-5729	201	61	)	)	PUNCT
ejpam-5729	201	62	i23	i23	PROPN
ejpam-5729	201	63	(	(	PUNCT
ejpam-5729	201	64	u	u	NOUN
ejpam-5729	201	65	)	)	PUNCT
ejpam-5729	201	66	,	,	PUNCT
ejpam-5729	201	67	w.	w.	PROPN
ejpam-5729	201	68	muhsin	muhsin	PROPN
ejpam-5729	201	69	et	et	PROPN
ejpam-5729	201	70	al	al	PROPN
ejpam-5729	201	71	.	.	PUNCT
ejpam-5729	201	72	/	/	SYM
ejpam-5729	201	73	eur	eur	PROPN
ejpam-5729	201	74	.	.	PUNCT
ejpam-5729	202	1	j.	j.	PROPN
ejpam-5729	202	2	pure	pure	PROPN
ejpam-5729	202	3	appl	appl	PROPN
ejpam-5729	202	4	.	.	PROPN
ejpam-5729	202	5	math	math	PROPN
ejpam-5729	202	6	,	,	PUNCT
ejpam-5729	202	7	18	18	NUM
ejpam-5729	202	8	(	(	PUNCT
ejpam-5729	202	9	1	1	NUM
ejpam-5729	202	10	)	)	PUNCT
ejpam-5729	202	11	(	(	PUNCT
ejpam-5729	202	12	2025	2025	NUM
ejpam-5729	202	13	)	)	PUNCT
ejpam-5729	202	14	,	,	PUNCT
ejpam-5729	202	15	5729	5729	NUM
ejpam-5729	202	16	10	10	NUM
ejpam-5729	202	17	of	of	ADP
ejpam-5729	202	18	17	17	NUM
ejpam-5729	202	19	or	or	CCONJ
ejpam-5729	202	20	ω′	ω′	PROPN
ejpam-5729	202	21	(	(	PUNCT
ejpam-5729	202	22	u	u	NOUN
ejpam-5729	202	23	)	)	PUNCT
ejpam-5729	202	24	≥	≥	NOUN
ejpam-5729	202	25	1	1	NUM
ejpam-5729	202	26	a1	a1	NOUN
ejpam-5729	202	27	(	(	PUNCT
ejpam-5729	202	28	u	u	NOUN
ejpam-5729	202	29	)	)	PUNCT
ejpam-5729	202	30	a3	a3	NOUN
ejpam-5729	202	31	(	(	PUNCT
ejpam-5729	202	32	u	u	NOUN
ejpam-5729	202	33	)	)	PUNCT
ejpam-5729	202	34	(	(	PUNCT
ejpam-5729	202	35	a2(a1ω	a2(a1ω	PROPN
ejpam-5729	202	36	′)′	′)′	PUNCT
ejpam-5729	202	37	)	)	PUNCT
ejpam-5729	203	1	′	′	NUM
ejpam-5729	203	2	(	(	PUNCT
ejpam-5729	203	3	u	u	NOUN
ejpam-5729	203	4	)	)	PUNCT
ejpam-5729	203	5	i23	i23	PROPN
ejpam-5729	203	6	(	(	PUNCT
ejpam-5729	203	7	u	u	NOUN
ejpam-5729	203	8	)	)	PUNCT
ejpam-5729	203	9	.	.	PUNCT
ejpam-5729	204	1	(	(	PUNCT
ejpam-5729	204	2	15	15	NUM
ejpam-5729	204	3	)	)	PUNCT
ejpam-5729	204	4	yields	yield	NOUN
ejpam-5729	204	5	,	,	PUNCT
ejpam-5729	204	6	(	(	PUNCT
ejpam-5729	204	7	a1	a1	NOUN
ejpam-5729	204	8	(	(	PUNCT
ejpam-5729	204	9	u	u	NOUN
ejpam-5729	204	10	)	)	PUNCT
ejpam-5729	204	11	ω	ω	NUM
ejpam-5729	204	12	′	′	NUM
ejpam-5729	204	13	(	(	PUNCT
ejpam-5729	204	14	u	u	NOUN
ejpam-5729	204	15	)	)	PUNCT
ejpam-5729	204	16	i23	i23	PROPN
ejpam-5729	204	17	(	(	PUNCT
ejpam-5729	204	18	u	u	NOUN
ejpam-5729	204	19	)	)	PUNCT
ejpam-5729	204	20	)	)	PUNCT
ejpam-5729	204	21	′	′	NUM
ejpam-5729	205	1	=	=	SYM
ejpam-5729	205	2	i23	i23	PROPN
ejpam-5729	205	3	(	(	PUNCT
ejpam-5729	205	4	u	u	NOUN
ejpam-5729	205	5	)	)	PUNCT
ejpam-5729	205	6	a2	a2	PROPN
ejpam-5729	205	7	(	(	PUNCT
ejpam-5729	205	8	u	u	NOUN
ejpam-5729	205	9	)	)	PUNCT
ejpam-5729	205	10	(	(	PUNCT
ejpam-5729	205	11	a1ω	a1ω	PROPN
ejpam-5729	205	12	′)′	′)′	PROPN
ejpam-5729	205	13	(	(	PUNCT
ejpam-5729	205	14	u)−	u)−	PROPN
ejpam-5729	205	15	i3	i3	NOUN
ejpam-5729	205	16	(	(	PUNCT
ejpam-5729	205	17	u	u	NOUN
ejpam-5729	205	18	)	)	PUNCT
ejpam-5729	205	19	(	(	PUNCT
ejpam-5729	205	20	a1ω	a1ω	PROPN
ejpam-5729	205	21	′	′	NUM
ejpam-5729	205	22	)	)	PUNCT
ejpam-5729	205	23	(	(	PUNCT
ejpam-5729	205	24	u	u	NOUN
ejpam-5729	205	25	)	)	PUNCT
ejpam-5729	205	26	a2	a2	PROPN
ejpam-5729	205	27	(	(	PUNCT
ejpam-5729	205	28	u	u	NOUN
ejpam-5729	205	29	)	)	PUNCT
ejpam-5729	205	30	i223	i223	PROPN
ejpam-5729	205	31	(	(	PUNCT
ejpam-5729	205	32	u	u	NOUN
ejpam-5729	205	33	)	)	PUNCT
ejpam-5729	205	34	=	=	SYM
ejpam-5729	205	35	1	1	NUM
ejpam-5729	205	36	a2	a2	PROPN
ejpam-5729	205	37	(	(	PUNCT
ejpam-5729	205	38	u	u	NOUN
ejpam-5729	205	39	)	)	PUNCT
ejpam-5729	205	40	i223	i223	PROPN
ejpam-5729	205	41	(	(	PUNCT
ejpam-5729	205	42	u	u	NOUN
ejpam-5729	205	43	)	)	PUNCT
ejpam-5729	205	44	[	[	PUNCT
ejpam-5729	205	45	i23	i23	PROPN
ejpam-5729	205	46	(	(	PUNCT
ejpam-5729	205	47	u	u	NOUN
ejpam-5729	205	48	)	)	PUNCT
ejpam-5729	205	49	a2	a2	PROPN
ejpam-5729	205	50	(	(	PUNCT
ejpam-5729	205	51	u	u	NOUN
ejpam-5729	205	52	)	)	PUNCT
ejpam-5729	205	53	(	(	PUNCT
ejpam-5729	205	54	a1ω	a1ω	PROPN
ejpam-5729	205	55	′)′	′)′	PROPN
ejpam-5729	205	56	(	(	PUNCT
ejpam-5729	205	57	u)−	u)−	PROPN
ejpam-5729	205	58	i3	i3	NOUN
ejpam-5729	205	59	(	(	PUNCT
ejpam-5729	205	60	u	u	NOUN
ejpam-5729	205	61	)	)	PUNCT
ejpam-5729	205	62	(	(	PUNCT
ejpam-5729	205	63	a1ω	a1ω	PROPN
ejpam-5729	205	64	′	′	NUM
ejpam-5729	205	65	)	)	PUNCT
ejpam-5729	205	66	(	(	PUNCT
ejpam-5729	205	67	u	u	NOUN
ejpam-5729	205	68	)	)	PUNCT
ejpam-5729	205	69	]	]	PUNCT
ejpam-5729	205	70	≤	≤	NUM
ejpam-5729	205	71	0	0	NUM
ejpam-5729	205	72	.	.	PUNCT
ejpam-5729	206	1	hence	hence	ADV
ejpam-5729	206	2	,	,	PUNCT
ejpam-5729	206	3	ω	ω	PROPN
ejpam-5729	206	4	(	(	PUNCT
ejpam-5729	206	5	t	t	PROPN
ejpam-5729	206	6	)	)	PUNCT
ejpam-5729	206	7	≥	≥	NOUN
ejpam-5729	206	8	∫	∫	PROPN
ejpam-5729	206	9	u	u	PROPN
ejpam-5729	206	10	u1	u1	PROPN
ejpam-5729	206	11	i23	i23	PROPN
ejpam-5729	206	12	(	(	PUNCT
ejpam-5729	206	13	v	v	NOUN
ejpam-5729	206	14	)	)	PUNCT
ejpam-5729	206	15	a1	a1	NOUN
ejpam-5729	206	16	(	(	PUNCT
ejpam-5729	206	17	v	v	NOUN
ejpam-5729	206	18	)	)	PUNCT
ejpam-5729	206	19	ω	ω	NOUN
ejpam-5729	206	20	′	′	NUM
ejpam-5729	206	21	(	(	PUNCT
ejpam-5729	206	22	v	v	NOUN
ejpam-5729	206	23	)	)	PUNCT
ejpam-5729	206	24	a1	a1	NOUN
ejpam-5729	206	25	(	(	PUNCT
ejpam-5729	206	26	v	v	NOUN
ejpam-5729	206	27	)	)	PUNCT
ejpam-5729	206	28	i23	i23	PROPN
ejpam-5729	206	29	(	(	PUNCT
ejpam-5729	206	30	v	v	NOUN
ejpam-5729	206	31	)	)	PUNCT
ejpam-5729	206	32	dv	dv	PROPN
ejpam-5729	206	33	≥	≥	PROPN
ejpam-5729	206	34	a1	a1	PROPN
ejpam-5729	206	35	(	(	PUNCT
ejpam-5729	206	36	u	u	NOUN
ejpam-5729	206	37	)	)	PUNCT
ejpam-5729	206	38	ω	ω	NUM
ejpam-5729	206	39	′	′	NUM
ejpam-5729	206	40	(	(	PUNCT
ejpam-5729	206	41	u	u	NOUN
ejpam-5729	206	42	)	)	PUNCT
ejpam-5729	206	43	i23	i23	PROPN
ejpam-5729	206	44	(	(	PUNCT
ejpam-5729	206	45	u	u	NOUN
ejpam-5729	206	46	)	)	PUNCT
ejpam-5729	206	47	∫	∫	PROPN
ejpam-5729	207	1	u	u	PROPN
ejpam-5729	207	2	u1	u1	PROPN
ejpam-5729	207	3	i23	i23	PROPN
ejpam-5729	207	4	(	(	PUNCT
ejpam-5729	207	5	v	v	NOUN
ejpam-5729	207	6	)	)	PUNCT
ejpam-5729	207	7	1	1	NUM
ejpam-5729	207	8	a1	a1	NOUN
ejpam-5729	207	9	(	(	PUNCT
ejpam-5729	207	10	v	v	NOUN
ejpam-5729	207	11	)	)	PUNCT
ejpam-5729	207	12	dv	dv	PROPN
ejpam-5729	207	13	≥	≥	PROPN
ejpam-5729	207	14	a2	a2	PROPN
ejpam-5729	207	15	(	(	PUNCT
ejpam-5729	207	16	u	u	NOUN
ejpam-5729	207	17	)	)	PUNCT
ejpam-5729	207	18	(	(	PUNCT
ejpam-5729	207	19	a1ω	a1ω	PROPN
ejpam-5729	207	20	′)′	′)′	PROPN
ejpam-5729	207	21	(	(	PUNCT
ejpam-5729	207	22	u	u	NOUN
ejpam-5729	207	23	)	)	PUNCT
ejpam-5729	207	24	i3	i3	NOUN
ejpam-5729	207	25	(	(	PUNCT
ejpam-5729	207	26	u	u	NOUN
ejpam-5729	207	27	)	)	PUNCT
ejpam-5729	207	28	i123	i123	PROPN
ejpam-5729	207	29	(	(	PUNCT
ejpam-5729	207	30	u	u	NOUN
ejpam-5729	207	31	)	)	PUNCT
ejpam-5729	207	32	,	,	PUNCT
ejpam-5729	207	33	(	(	PUNCT
ejpam-5729	207	34	16	16	NUM
ejpam-5729	207	35	)	)	PUNCT
ejpam-5729	207	36	we	we	PRON
ejpam-5729	207	37	get	get	VERB
ejpam-5729	207	38	,	,	PUNCT
ejpam-5729	207	39	(	(	PUNCT
ejpam-5729	207	40	ω	ω	X
ejpam-5729	207	41	(	(	PUNCT
ejpam-5729	207	42	u	u	NOUN
ejpam-5729	207	43	)	)	PUNCT
ejpam-5729	207	44	i123	i123	PROPN
ejpam-5729	207	45	(	(	PUNCT
ejpam-5729	207	46	u	u	NOUN
ejpam-5729	207	47	)	)	PUNCT
ejpam-5729	207	48	)	)	PUNCT
ejpam-5729	207	49	′	′	NUM
ejpam-5729	208	1	=	=	PUNCT
ejpam-5729	208	2	i123	i123	PROPN
ejpam-5729	208	3	(	(	PUNCT
ejpam-5729	208	4	u	u	NOUN
ejpam-5729	208	5	)	)	PUNCT
ejpam-5729	208	6	a1	a1	NOUN
ejpam-5729	208	7	(	(	PUNCT
ejpam-5729	208	8	u	u	NOUN
ejpam-5729	208	9	)	)	PUNCT
ejpam-5729	208	10	ω	ω	NUM
ejpam-5729	208	11	′	′	NUM
ejpam-5729	208	12	(	(	PUNCT
ejpam-5729	208	13	u)−	u)−	PROPN
ejpam-5729	208	14	i23	i23	PROPN
ejpam-5729	208	15	(	(	PUNCT
ejpam-5729	208	16	u	u	NOUN
ejpam-5729	208	17	)	)	PUNCT
ejpam-5729	208	18	ω	ω	PROPN
ejpam-5729	208	19	(	(	PUNCT
ejpam-5729	208	20	u	u	NOUN
ejpam-5729	208	21	)	)	PUNCT
ejpam-5729	208	22	a1	a1	NOUN
ejpam-5729	208	23	(	(	PUNCT
ejpam-5729	208	24	u	u	NOUN
ejpam-5729	208	25	)	)	PUNCT
ejpam-5729	208	26	i2123	i2123	PROPN
ejpam-5729	208	27	(	(	PUNCT
ejpam-5729	208	28	u	u	NOUN
ejpam-5729	208	29	)	)	PUNCT
ejpam-5729	208	30	=	=	PUNCT
ejpam-5729	209	1	[	[	PUNCT
ejpam-5729	209	2	i123	i123	PROPN
ejpam-5729	209	3	(	(	PUNCT
ejpam-5729	209	4	u	u	NOUN
ejpam-5729	209	5	)	)	PUNCT
ejpam-5729	209	6	a1	a1	NOUN
ejpam-5729	209	7	(	(	PUNCT
ejpam-5729	209	8	u	u	NOUN
ejpam-5729	209	9	)	)	PUNCT
ejpam-5729	209	10	ω	ω	NUM
ejpam-5729	209	11	′	′	NUM
ejpam-5729	209	12	(	(	PUNCT
ejpam-5729	209	13	u)−	u)−	PROPN
ejpam-5729	209	14	i23	i23	PROPN
ejpam-5729	209	15	(	(	PUNCT
ejpam-5729	209	16	u	u	NOUN
ejpam-5729	209	17	)	)	PUNCT
ejpam-5729	209	18	ω	ω	PROPN
ejpam-5729	209	19	(	(	PUNCT
ejpam-5729	209	20	u	u	NOUN
ejpam-5729	209	21	)	)	PUNCT
ejpam-5729	209	22	]	]	PUNCT
ejpam-5729	209	23	1	1	NUM
ejpam-5729	209	24	a1	a1	NOUN
ejpam-5729	209	25	(	(	PUNCT
ejpam-5729	209	26	u	u	NOUN
ejpam-5729	209	27	)	)	PUNCT
ejpam-5729	209	28	i2123	i2123	PROPN
ejpam-5729	209	29	(	(	PUNCT
ejpam-5729	209	30	u	u	NOUN
ejpam-5729	209	31	)	)	PUNCT
ejpam-5729	209	32	≤	≤	NOUN
ejpam-5729	209	33	0	0	NUM
ejpam-5729	209	34	.	.	PUNCT
ejpam-5729	210	1	(	(	PUNCT
ejpam-5729	210	2	17	17	NUM
ejpam-5729	210	3	)	)	PUNCT
ejpam-5729	210	4	now	now	ADV
ejpam-5729	210	5	,	,	PUNCT
ejpam-5729	210	6	we	we	PRON
ejpam-5729	210	7	determine	determine	VERB
ejpam-5729	210	8	that	that	SCONJ
ejpam-5729	210	9	ω	ω	PROPN
ejpam-5729	210	10	(	(	PUNCT
ejpam-5729	210	11	κ(2	κ(2	PROPN
ejpam-5729	210	12	t	t	PROPN
ejpam-5729	210	13	)	)	PUNCT
ejpam-5729	210	14	(	(	PUNCT
ejpam-5729	210	15	u	u	NOUN
ejpam-5729	210	16	)	)	PUNCT
ejpam-5729	210	17	)	)	PUNCT
ejpam-5729	211	1	≥	≥	PROPN
ejpam-5729	211	2	ω	ω	NUM
ejpam-5729	211	3	(	(	PUNCT
ejpam-5729	211	4	κ(2t+1	κ(2t+1	NUM
ejpam-5729	211	5	)	)	PUNCT
ejpam-5729	211	6	(	(	PUNCT
ejpam-5729	211	7	u	u	NOUN
ejpam-5729	211	8	)	)	PUNCT
ejpam-5729	211	9	)	)	PUNCT
ejpam-5729	211	10	,	,	PUNCT
ejpam-5729	211	11	based	base	VERB
ejpam-5729	211	12	on	on	ADP
ejpam-5729	211	13	the	the	DET
ejpam-5729	211	14	information	information	NOUN
ejpam-5729	211	15	that	that	PRON
ejpam-5729	211	16	κ(2t+1	κ(2t+1	PRON
ejpam-5729	211	17	)	)	PUNCT
ejpam-5729	211	18	(	(	PUNCT
ejpam-5729	211	19	u	u	NOUN
ejpam-5729	211	20	)	)	PUNCT
ejpam-5729	211	21	≤	≤	PUNCT
ejpam-5729	212	1	κ(2	κ(2	PROPN
ejpam-5729	212	2	t	t	PROPN
ejpam-5729	212	3	)	)	PUNCT
ejpam-5729	212	4	(	(	PUNCT
ejpam-5729	212	5	u	u	NOUN
ejpam-5729	212	6	)	)	PUNCT
ejpam-5729	212	7	≤	≤	NOUN
ejpam-5729	212	8	u	u	NOUN
ejpam-5729	212	9	and	and	CCONJ
ejpam-5729	212	10	ω′	ω′	PROPN
ejpam-5729	212	11	(	(	PUNCT
ejpam-5729	212	12	u	u	NOUN
ejpam-5729	212	13	)	)	PUNCT
ejpam-5729	212	14	>	>	X
ejpam-5729	212	15	0	0	X
ejpam-5729	212	16	.	.	NOUN
ejpam-5729	213	1	which	which	PRON
ejpam-5729	213	2	,	,	PUNCT
ejpam-5729	213	3	along	along	ADP
ejpam-5729	213	4	with	with	ADP
ejpam-5729	213	5	lemma	lemma	PROPN
ejpam-5729	213	6	2	2	NUM
ejpam-5729	213	7	,	,	PUNCT
ejpam-5729	213	8	implies	imply	VERB
ejpam-5729	213	9	that	that	SCONJ
ejpam-5729	213	10	x	x	SYM
ejpam-5729	213	11	(	(	PUNCT
ejpam-5729	213	12	u	u	NOUN
ejpam-5729	213	13	)	)	PUNCT
ejpam-5729	213	14	>	>	PUNCT
ejpam-5729	213	15	γ∑	γ∑	PROPN
ejpam-5729	213	16	t=0	t=0	PROPN
ejpam-5729	213	17	(	(	PUNCT
ejpam-5729	213	18	2t∏	2t∏	NUM
ejpam-5729	213	19	m=0	m=0	PROPN
ejpam-5729	213	20	h	h	PROPN
ejpam-5729	213	21	(	(	PUNCT
ejpam-5729	213	22	κ(m	κ(m	PROPN
ejpam-5729	213	23	)	)	PUNCT
ejpam-5729	213	24	(	(	PUNCT
ejpam-5729	213	25	u	u	NOUN
ejpam-5729	213	26	)	)	PUNCT
ejpam-5729	213	27	)	)	PUNCT
ejpam-5729	213	28	)	)	PUNCT
ejpam-5729	214	1	[	[	X
ejpam-5729	214	2	ω	ω	X
ejpam-5729	214	3	(	(	PUNCT
ejpam-5729	214	4	κ(2	κ(2	PROPN
ejpam-5729	214	5	t	t	PROPN
ejpam-5729	214	6	)	)	PUNCT
ejpam-5729	214	7	(	(	PUNCT
ejpam-5729	214	8	u	u	NOUN
ejpam-5729	214	9	)	)	PUNCT
ejpam-5729	214	10	)	)	PUNCT
ejpam-5729	214	11	h	h	NOUN
ejpam-5729	214	12	(	(	PUNCT
ejpam-5729	214	13	κ(2	κ(2	PROPN
ejpam-5729	214	14	t	t	PROPN
ejpam-5729	214	15	)	)	PUNCT
ejpam-5729	214	16	(	(	PUNCT
ejpam-5729	214	17	u	u	NOUN
ejpam-5729	214	18	)	)	PUNCT
ejpam-5729	214	19	)	)	PUNCT
ejpam-5729	215	1	−	−	PROPN
ejpam-5729	215	2	ω	ω	INTJ
ejpam-5729	215	3	(	(	PUNCT
ejpam-5729	215	4	κ(2t+1	κ(2t+1	NUM
ejpam-5729	215	5	)	)	PUNCT
ejpam-5729	215	6	(	(	PUNCT
ejpam-5729	215	7	u	u	NOUN
ejpam-5729	215	8	)	)	PUNCT
ejpam-5729	215	9	)	)	PUNCT
ejpam-5729	215	10	]	]	PUNCT
ejpam-5729	215	11	,	,	PUNCT
ejpam-5729	215	12	≥	≥	X
ejpam-5729	215	13	γ∑	γ∑	PUNCT
ejpam-5729	215	14	t=0	t=0	PROPN
ejpam-5729	215	15	(	(	PUNCT
ejpam-5729	215	16	2t∏	2t∏	NUM
ejpam-5729	215	17	m=0	m=0	PROPN
ejpam-5729	215	18	h	h	PROPN
ejpam-5729	215	19	(	(	PUNCT
ejpam-5729	215	20	κ(m	κ(m	PROPN
ejpam-5729	215	21	)	)	PUNCT
ejpam-5729	215	22	(	(	PUNCT
ejpam-5729	215	23	u	u	NOUN
ejpam-5729	215	24	)	)	PUNCT
ejpam-5729	215	25	)	)	PUNCT
ejpam-5729	215	26	)	)	PUNCT
ejpam-5729	216	1	[	[	PUNCT
ejpam-5729	216	2	1	1	NUM
ejpam-5729	216	3	h	h	NOUN
ejpam-5729	216	4	(	(	PUNCT
ejpam-5729	216	5	κ(2	κ(2	PROPN
ejpam-5729	216	6	t	t	PROPN
ejpam-5729	216	7	)	)	PUNCT
ejpam-5729	216	8	(	(	PUNCT
ejpam-5729	216	9	u	u	NOUN
ejpam-5729	216	10	)	)	PUNCT
ejpam-5729	216	11	)	)	PUNCT
ejpam-5729	217	1	−	−	PROPN
ejpam-5729	217	2	1	1	NUM
ejpam-5729	217	3	]	]	PUNCT
ejpam-5729	217	4	ω	ω	NOUN
ejpam-5729	217	5	(	(	PUNCT
ejpam-5729	217	6	κ(2	κ(2	PROPN
ejpam-5729	217	7	t	t	PROPN
ejpam-5729	217	8	)	)	PUNCT
ejpam-5729	217	9	(	(	PUNCT
ejpam-5729	217	10	u	u	NOUN
ejpam-5729	217	11	)	)	PUNCT
ejpam-5729	217	12	)	)	PUNCT
ejpam-5729	217	13	.	.	PUNCT
ejpam-5729	218	1	(	(	PUNCT
ejpam-5729	218	2	18	18	NUM
ejpam-5729	218	3	)	)	PUNCT
ejpam-5729	218	4	moreover	moreover	ADV
ejpam-5729	218	5	,	,	PUNCT
ejpam-5729	218	6	as	as	ADP
ejpam-5729	218	7	(	(	PUNCT
ejpam-5729	218	8	ω	ω	PROPN
ejpam-5729	218	9	(	(	PUNCT
ejpam-5729	218	10	u	u	NOUN
ejpam-5729	218	11	)	)	PUNCT
ejpam-5729	218	12	/i123	/i123	PUNCT
ejpam-5729	218	13	(	(	PUNCT
ejpam-5729	218	14	u	u	NOUN
ejpam-5729	218	15	)	)	PUNCT
ejpam-5729	218	16	)	)	PUNCT
ejpam-5729	219	1	′	′	NUM
ejpam-5729	219	2	≤	≤	NUM
ejpam-5729	219	3	0	0	NUM
ejpam-5729	219	4	and	and	CCONJ
ejpam-5729	219	5	κ(2	κ(2	PROPN
ejpam-5729	219	6	t	t	PROPN
ejpam-5729	219	7	)	)	PUNCT
ejpam-5729	219	8	(	(	PUNCT
ejpam-5729	219	9	u	u	NOUN
ejpam-5729	219	10	)	)	PUNCT
ejpam-5729	219	11	≤	≤	NOUN
ejpam-5729	219	12	u	u	NOUN
ejpam-5729	219	13	,	,	PUNCT
ejpam-5729	219	14	we	we	PRON
ejpam-5729	219	15	have	have	VERB
ejpam-5729	219	16	ω	ω	NUM
ejpam-5729	219	17	(	(	PUNCT
ejpam-5729	219	18	κ(2	κ(2	PROPN
ejpam-5729	219	19	t	t	PROPN
ejpam-5729	219	20	)	)	PUNCT
ejpam-5729	219	21	(	(	PUNCT
ejpam-5729	219	22	u	u	NOUN
ejpam-5729	219	23	)	)	PUNCT
ejpam-5729	219	24	)	)	PUNCT
ejpam-5729	220	1	i123	i123	PROPN
ejpam-5729	220	2	(	(	PUNCT
ejpam-5729	220	3	κ(2	κ(2	PROPN
ejpam-5729	220	4	t	t	PROPN
ejpam-5729	220	5	)	)	PUNCT
ejpam-5729	220	6	(	(	PUNCT
ejpam-5729	220	7	u	u	NOUN
ejpam-5729	220	8	)	)	PUNCT
ejpam-5729	220	9	)	)	PUNCT
ejpam-5729	221	1	≥	≥	PROPN
ejpam-5729	221	2	ω	ω	NUM
ejpam-5729	221	3	(	(	PUNCT
ejpam-5729	221	4	u	u	NOUN
ejpam-5729	221	5	)	)	PUNCT
ejpam-5729	221	6	i123	i123	PROPN
ejpam-5729	221	7	(	(	PUNCT
ejpam-5729	221	8	u	u	NOUN
ejpam-5729	221	9	)	)	PUNCT
ejpam-5729	221	10	,	,	PUNCT
ejpam-5729	221	11	and	and	CCONJ
ejpam-5729	221	12	ω	ω	NUM
ejpam-5729	221	13	(	(	PUNCT
ejpam-5729	221	14	κ(2	κ(2	PROPN
ejpam-5729	221	15	t	t	PROPN
ejpam-5729	221	16	)	)	PUNCT
ejpam-5729	221	17	(	(	PUNCT
ejpam-5729	221	18	u	u	NOUN
ejpam-5729	221	19	)	)	PUNCT
ejpam-5729	221	20	)	)	PUNCT
ejpam-5729	221	21	≥	≥	X
ejpam-5729	222	1	i123	i123	PROPN
ejpam-5729	222	2	(	(	PUNCT
ejpam-5729	222	3	κ(2	κ(2	PROPN
ejpam-5729	222	4	t	t	PROPN
ejpam-5729	222	5	)	)	PUNCT
ejpam-5729	222	6	(	(	PUNCT
ejpam-5729	222	7	u	u	NOUN
ejpam-5729	222	8	)	)	PUNCT
ejpam-5729	222	9	)	)	PUNCT
ejpam-5729	223	1	i123	i123	PROPN
ejpam-5729	223	2	(	(	PUNCT
ejpam-5729	223	3	u	u	NOUN
ejpam-5729	223	4	)	)	PUNCT
ejpam-5729	223	5	ω	ω	PROPN
ejpam-5729	223	6	(	(	PUNCT
ejpam-5729	223	7	u	u	NOUN
ejpam-5729	223	8	)	)	PUNCT
ejpam-5729	223	9	.	.	PUNCT
ejpam-5729	224	1	w.	w.	PROPN
ejpam-5729	224	2	muhsin	muhsin	PROPN
ejpam-5729	224	3	et	et	PROPN
ejpam-5729	224	4	al	al	PROPN
ejpam-5729	224	5	.	.	PUNCT
ejpam-5729	224	6	/	/	SYM
ejpam-5729	224	7	eur	eur	PROPN
ejpam-5729	224	8	.	.	PUNCT
ejpam-5729	225	1	j.	j.	PROPN
ejpam-5729	225	2	pure	pure	PROPN
ejpam-5729	225	3	appl	appl	PROPN
ejpam-5729	225	4	.	.	PROPN
ejpam-5729	225	5	math	math	PROPN
ejpam-5729	225	6	,	,	PUNCT
ejpam-5729	225	7	18	18	NUM
ejpam-5729	225	8	(	(	PUNCT
ejpam-5729	225	9	1	1	NUM
ejpam-5729	225	10	)	)	PUNCT
ejpam-5729	225	11	(	(	PUNCT
ejpam-5729	225	12	2025	2025	NUM
ejpam-5729	225	13	)	)	PUNCT
ejpam-5729	225	14	,	,	PUNCT
ejpam-5729	225	15	5729	5729	NUM
ejpam-5729	225	16	11	11	NUM
ejpam-5729	225	17	of	of	ADP
ejpam-5729	225	18	17	17	NUM
ejpam-5729	225	19	thus	thus	ADV
ejpam-5729	225	20	,	,	PUNCT
ejpam-5729	225	21	by	by	ADP
ejpam-5729	225	22	applying	apply	VERB
ejpam-5729	225	23	the	the	DET
ejpam-5729	225	24	subsequent	subsequent	ADJ
ejpam-5729	225	25	inequality	inequality	NOUN
ejpam-5729	225	26	and	and	CCONJ
ejpam-5729	225	27	putting	put	VERB
ejpam-5729	225	28	into	into	ADP
ejpam-5729	225	29	(	(	PUNCT
ejpam-5729	225	30	18	18	NUM
ejpam-5729	225	31	)	)	PUNCT
ejpam-5729	225	32	,	,	PUNCT
ejpam-5729	225	33	yields	yield	NOUN
ejpam-5729	225	34	x	x	SYM
ejpam-5729	225	35	(	(	PUNCT
ejpam-5729	225	36	u	u	NOUN
ejpam-5729	225	37	)	)	PUNCT
ejpam-5729	225	38	>	>	X
ejpam-5729	226	1	ω	ω	PROPN
ejpam-5729	226	2	(	(	PUNCT
ejpam-5729	226	3	u	u	NOUN
ejpam-5729	226	4	)	)	PUNCT
ejpam-5729	226	5	γ∑	γ∑	PUNCT
ejpam-5729	226	6	t=0	t=0	PROPN
ejpam-5729	226	7	(	(	PUNCT
ejpam-5729	226	8	2t∏	2t∏	NUM
ejpam-5729	226	9	m=0	m=0	PROPN
ejpam-5729	226	10	h	h	PROPN
ejpam-5729	226	11	(	(	PUNCT
ejpam-5729	226	12	κ(m	κ(m	PROPN
ejpam-5729	226	13	)	)	PUNCT
ejpam-5729	226	14	(	(	PUNCT
ejpam-5729	226	15	u	u	NOUN
ejpam-5729	226	16	)	)	PUNCT
ejpam-5729	226	17	)	)	PUNCT
ejpam-5729	226	18	)	)	PUNCT
ejpam-5729	227	1	[	[	PUNCT
ejpam-5729	227	2	1	1	NUM
ejpam-5729	227	3	h	h	NOUN
ejpam-5729	227	4	(	(	PUNCT
ejpam-5729	227	5	κ(2	κ(2	PROPN
ejpam-5729	227	6	t	t	PROPN
ejpam-5729	227	7	)	)	PUNCT
ejpam-5729	227	8	(	(	PUNCT
ejpam-5729	227	9	u	u	NOUN
ejpam-5729	227	10	)	)	PUNCT
ejpam-5729	227	11	)	)	PUNCT
ejpam-5729	228	1	−	−	PROPN
ejpam-5729	228	2	1	1	NUM
ejpam-5729	228	3	]	]	PUNCT
ejpam-5729	228	4	i123	i123	PROPN
ejpam-5729	228	5	(	(	PUNCT
ejpam-5729	228	6	κ(2	κ(2	PROPN
ejpam-5729	228	7	t	t	PROPN
ejpam-5729	228	8	)	)	PUNCT
ejpam-5729	228	9	(	(	PUNCT
ejpam-5729	228	10	u	u	NOUN
ejpam-5729	228	11	)	)	PUNCT
ejpam-5729	228	12	)	)	PUNCT
ejpam-5729	229	1	i123	i123	PROPN
ejpam-5729	229	2	(	(	PUNCT
ejpam-5729	229	3	u	u	NOUN
ejpam-5729	229	4	)	)	PUNCT
ejpam-5729	229	5	,	,	PUNCT
ejpam-5729	229	6	this	this	PRON
ejpam-5729	229	7	produces	produce	VERB
ejpam-5729	229	8	(	(	PUNCT
ejpam-5729	229	9	12	12	NUM
ejpam-5729	229	10	)	)	PUNCT
ejpam-5729	229	11	,	,	PUNCT
ejpam-5729	229	12	when	when	SCONJ
ejpam-5729	229	13	combined	combine	VERB
ejpam-5729	229	14	with	with	ADP
ejpam-5729	229	15	(	(	PUNCT
ejpam-5729	229	16	1	1	NUM
ejpam-5729	229	17	)	)	PUNCT
ejpam-5729	229	18	.	.	PUNCT
ejpam-5729	230	1	this	this	PRON
ejpam-5729	230	2	ends	end	VERB
ejpam-5729	230	3	the	the	DET
ejpam-5729	230	4	proof	proof	NOUN
ejpam-5729	230	5	.	.	PUNCT
ejpam-5729	231	1	the	the	DET
ejpam-5729	231	2	results	result	NOUN
ejpam-5729	231	3	that	that	PRON
ejpam-5729	231	4	we	we	PRON
ejpam-5729	231	5	present	present	VERB
ejpam-5729	231	6	below	below	ADP
ejpam-5729	231	7	shed	shed	VERB
ejpam-5729	231	8	light	light	NOUN
ejpam-5729	231	9	on	on	ADP
ejpam-5729	231	10	the	the	DET
ejpam-5729	231	11	behavior	behavior	NOUN
ejpam-5729	231	12	of	of	ADP
ejpam-5729	231	13	the	the	DET
ejpam-5729	231	14	positive	positive	ADJ
ejpam-5729	231	15	solutions	solution	NOUN
ejpam-5729	231	16	l−.	l−.	PROPN
ejpam-5729	231	17	lemma	lemma	PROPN
ejpam-5729	231	18	5	5	X
ejpam-5729	231	19	.	.	PUNCT
ejpam-5729	231	20	assume	assume	VERB
ejpam-5729	231	21	that	that	SCONJ
ejpam-5729	231	22	x	x	X
ejpam-5729	231	23	∈	∈	PROPN
ejpam-5729	231	24	l−.	l−.	PROPN
ejpam-5729	231	25	then	then	ADV
ejpam-5729	231	26	,	,	PUNCT
ejpam-5729	231	27	eventually	eventually	ADV
ejpam-5729	231	28	,	,	PUNCT
ejpam-5729	231	29	(	(	PUNCT
ejpam-5729	231	30	a3	a3	NOUN
ejpam-5729	231	31	(	(	PUNCT
ejpam-5729	231	32	u	u	NOUN
ejpam-5729	231	33	)	)	PUNCT
ejpam-5729	231	34	(	(	PUNCT
ejpam-5729	231	35	a2	a2	PROPN
ejpam-5729	231	36	(	(	PUNCT
ejpam-5729	231	37	u	u	NOUN
ejpam-5729	231	38	)	)	PUNCT
ejpam-5729	231	39	(	(	PUNCT
ejpam-5729	231	40	a1	a1	NOUN
ejpam-5729	231	41	(	(	PUNCT
ejpam-5729	231	42	u	u	NOUN
ejpam-5729	231	43	)	)	PUNCT
ejpam-5729	231	44	ω	ω	NUM
ejpam-5729	231	45	′	′	NUM
ejpam-5729	231	46	(	(	PUNCT
ejpam-5729	231	47	u))′)′	u))′)′	ADJ
ejpam-5729	231	48	)	)	PUNCT
ejpam-5729	231	49	′	′	NUM
ejpam-5729	232	1	+	+	CCONJ
ejpam-5729	232	2	u2	u2	PROPN
ejpam-5729	232	3	(	(	PUNCT
ejpam-5729	232	4	ρ	ρ	PROPN
ejpam-5729	232	5	(	(	PUNCT
ejpam-5729	232	6	u	u	NOUN
ejpam-5729	232	7	)	)	PUNCT
ejpam-5729	232	8	)	)	PUNCT
ejpam-5729	233	1	ω	ω	PROPN
ejpam-5729	233	2	(	(	PUNCT
ejpam-5729	233	3	ρ	ρ	PROPN
ejpam-5729	233	4	(	(	PUNCT
ejpam-5729	233	5	u	u	NOUN
ejpam-5729	233	6	)	)	PUNCT
ejpam-5729	233	7	)	)	PUNCT
ejpam-5729	233	8	≤	≤	ADV
ejpam-5729	233	9	0	0	NUM
ejpam-5729	233	10	.	.	PUNCT
ejpam-5729	234	1	(	(	PUNCT
ejpam-5729	234	2	19	19	NUM
ejpam-5729	234	3	)	)	PUNCT
ejpam-5729	234	4	proof	proof	NOUN
ejpam-5729	234	5	.	.	PUNCT
ejpam-5729	235	1	assume	assume	VERB
ejpam-5729	235	2	that	that	SCONJ
ejpam-5729	235	3	x	x	X
ejpam-5729	235	4	∈	∈	PROPN
ejpam-5729	235	5	l−.	l−.	PROPN
ejpam-5729	235	6	we	we	PRON
ejpam-5729	235	7	derive	derive	VERB
ejpam-5729	235	8	,	,	PUNCT
ejpam-5729	235	9	for	for	ADP
ejpam-5729	235	10	u	u	PROPN
ejpam-5729	235	11	≥	≥	NOUN
ejpam-5729	235	12	u1	u1	PROPN
ejpam-5729	235	13	,	,	PUNCT
ejpam-5729	235	14	ω	ω	PROPN
ejpam-5729	235	15	(	(	PUNCT
ejpam-5729	235	16	u	u	NOUN
ejpam-5729	235	17	)	)	PUNCT
ejpam-5729	235	18	≥	≥	NUM
ejpam-5729	235	19	∫	∫	NOUN
ejpam-5729	235	20	u	u	PROPN
ejpam-5729	235	21	u1	u1	NOUN
ejpam-5729	235	22	1	1	NUM
ejpam-5729	235	23	a1	a1	NOUN
ejpam-5729	235	24	(	(	PUNCT
ejpam-5729	235	25	ξ	ξ	NOUN
ejpam-5729	235	26	)	)	PUNCT
ejpam-5729	235	27	a1	a1	NOUN
ejpam-5729	235	28	(	(	PUNCT
ejpam-5729	235	29	ξ	ξ	NOUN
ejpam-5729	235	30	)	)	PUNCT
ejpam-5729	235	31	ω	ω	NOUN
ejpam-5729	235	32	′	′	NUM
ejpam-5729	235	33	(	(	PUNCT
ejpam-5729	235	34	ξ	ξ	X
ejpam-5729	235	35	)	)	PUNCT
ejpam-5729	235	36	dξ	dξ	PROPN
ejpam-5729	235	37	≥	≥	NOUN
ejpam-5729	235	38	a1	a1	NOUN
ejpam-5729	235	39	(	(	PUNCT
ejpam-5729	235	40	u	u	NOUN
ejpam-5729	235	41	)	)	PUNCT
ejpam-5729	235	42	ω	ω	NUM
ejpam-5729	235	43	′	′	NUM
ejpam-5729	235	44	(	(	PUNCT
ejpam-5729	235	45	u	u	NOUN
ejpam-5729	235	46	)	)	PUNCT
ejpam-5729	235	47	i1	i1	PROPN
ejpam-5729	235	48	(	(	PUNCT
ejpam-5729	235	49	u	u	NOUN
ejpam-5729	235	50	)	)	PUNCT
ejpam-5729	235	51	.	.	PUNCT
ejpam-5729	236	1	then	then	ADV
ejpam-5729	236	2	,	,	PUNCT
ejpam-5729	236	3	(	(	PUNCT
ejpam-5729	236	4	ω	ω	X
ejpam-5729	236	5	(	(	PUNCT
ejpam-5729	236	6	u	u	NOUN
ejpam-5729	236	7	)	)	PUNCT
ejpam-5729	236	8	i1	i1	PROPN
ejpam-5729	236	9	(	(	PUNCT
ejpam-5729	236	10	u	u	NOUN
ejpam-5729	236	11	)	)	PUNCT
ejpam-5729	236	12	)	)	PUNCT
ejpam-5729	236	13	′	′	NUM
ejpam-5729	237	1	=	=	PUNCT
ejpam-5729	237	2	a−1	a−1	PROPN
ejpam-5729	237	3	1	1	NUM
ejpam-5729	237	4	(	(	PUNCT
ejpam-5729	237	5	u	u	NOUN
ejpam-5729	237	6	)	)	PUNCT
ejpam-5729	237	7	i21	i21	NOUN
ejpam-5729	237	8	(	(	PUNCT
ejpam-5729	237	9	u	u	NOUN
ejpam-5729	237	10	)	)	PUNCT
ejpam-5729	237	11	[	[	PUNCT
ejpam-5729	237	12	a1	a1	NOUN
ejpam-5729	237	13	(	(	PUNCT
ejpam-5729	237	14	u	u	NOUN
ejpam-5729	237	15	)	)	PUNCT
ejpam-5729	237	16	ω	ω	NUM
ejpam-5729	237	17	′	′	NUM
ejpam-5729	237	18	(	(	PUNCT
ejpam-5729	237	19	u	u	NOUN
ejpam-5729	237	20	)	)	PUNCT
ejpam-5729	237	21	i1	i1	NOUN
ejpam-5729	237	22	(	(	PUNCT
ejpam-5729	237	23	u)−	u)−	PROPN
ejpam-5729	237	24	ω	ω	PROPN
ejpam-5729	237	25	(	(	PUNCT
ejpam-5729	237	26	u	u	NOUN
ejpam-5729	237	27	)	)	PUNCT
ejpam-5729	237	28	]	]	PUNCT
ejpam-5729	237	29	≤	≤	NUM
ejpam-5729	237	30	0	0	NUM
ejpam-5729	237	31	,	,	PUNCT
ejpam-5729	237	32	which	which	PRON
ejpam-5729	237	33	,	,	PUNCT
ejpam-5729	237	34	with	with	ADP
ejpam-5729	237	35	the	the	DET
ejpam-5729	237	36	fact	fact	NOUN
ejpam-5729	237	37	that	that	SCONJ
ejpam-5729	237	38	κ(2	κ(2	PROPN
ejpam-5729	237	39	t	t	PROPN
ejpam-5729	237	40	)	)	PUNCT
ejpam-5729	237	41	(	(	PUNCT
ejpam-5729	237	42	u	u	NOUN
ejpam-5729	237	43	)	)	PUNCT
ejpam-5729	237	44	≤	≤	NOUN
ejpam-5729	237	45	u	u	NOUN
ejpam-5729	237	46	,	,	PUNCT
ejpam-5729	237	47	gives	give	VERB
ejpam-5729	237	48	ω	ω	PROPN
ejpam-5729	237	49	(	(	PUNCT
ejpam-5729	237	50	κ(2	κ(2	PROPN
ejpam-5729	237	51	t	t	PROPN
ejpam-5729	237	52	)	)	PUNCT
ejpam-5729	237	53	(	(	PUNCT
ejpam-5729	237	54	u	u	NOUN
ejpam-5729	237	55	)	)	PUNCT
ejpam-5729	237	56	)	)	PUNCT
ejpam-5729	237	57	≥	≥	PROPN
ejpam-5729	237	58	i1	i1	PROPN
ejpam-5729	237	59	(	(	PUNCT
ejpam-5729	237	60	κ(2	κ(2	PROPN
ejpam-5729	237	61	t	t	PROPN
ejpam-5729	237	62	)	)	PUNCT
ejpam-5729	237	63	(	(	PUNCT
ejpam-5729	237	64	u	u	NOUN
ejpam-5729	237	65	)	)	PUNCT
ejpam-5729	237	66	)	)	PUNCT
ejpam-5729	238	1	i1	i1	PROPN
ejpam-5729	238	2	(	(	PUNCT
ejpam-5729	238	3	u	u	NOUN
ejpam-5729	238	4	)	)	PUNCT
ejpam-5729	238	5	ω	ω	PROPN
ejpam-5729	238	6	(	(	PUNCT
ejpam-5729	238	7	u	u	NOUN
ejpam-5729	238	8	)	)	PUNCT
ejpam-5729	238	9	.	.	PUNCT
ejpam-5729	239	1	(	(	PUNCT
ejpam-5729	239	2	20	20	X
ejpam-5729	239	3	)	)	PUNCT
ejpam-5729	239	4	using	use	VERB
ejpam-5729	239	5	the	the	DET
ejpam-5729	239	6	facts	fact	NOUN
ejpam-5729	239	7	ω′	ω′	X
ejpam-5729	239	8	(	(	PUNCT
ejpam-5729	239	9	u	u	NOUN
ejpam-5729	239	10	)	)	PUNCT
ejpam-5729	239	11	>	>	X
ejpam-5729	239	12	0	0	PUNCT
ejpam-5729	240	1	and	and	CCONJ
ejpam-5729	240	2	the	the	DET
ejpam-5729	240	3	inequality	inequality	NOUN
ejpam-5729	240	4	(	(	PUNCT
ejpam-5729	240	5	20	20	NUM
ejpam-5729	240	6	)	)	PUNCT
ejpam-5729	240	7	,	,	PUNCT
ejpam-5729	240	8	relation	relation	NOUN
ejpam-5729	240	9	(	(	PUNCT
ejpam-5729	240	10	6	6	NUM
ejpam-5729	240	11	)	)	PUNCT
ejpam-5729	240	12	reduces	reduce	VERB
ejpam-5729	240	13	to	to	ADP
ejpam-5729	240	14	x	x	SYM
ejpam-5729	240	15	(	(	PUNCT
ejpam-5729	240	16	u	u	NOUN
ejpam-5729	240	17	)	)	PUNCT
ejpam-5729	240	18	>	>	PUNCT
ejpam-5729	240	19	γ∑	γ∑	PROPN
ejpam-5729	241	1	t=0	t=0	PROPN
ejpam-5729	241	2	(	(	PUNCT
ejpam-5729	241	3	2t∏	2t∏	NUM
ejpam-5729	241	4	m=0	m=0	PROPN
ejpam-5729	241	5	h	h	PROPN
ejpam-5729	241	6	(	(	PUNCT
ejpam-5729	241	7	κ(m	κ(m	PROPN
ejpam-5729	241	8	)	)	PUNCT
ejpam-5729	241	9	(	(	PUNCT
ejpam-5729	241	10	u	u	NOUN
ejpam-5729	241	11	)	)	PUNCT
ejpam-5729	241	12	)	)	PUNCT
ejpam-5729	241	13	)	)	PUNCT
ejpam-5729	242	1	[	[	PUNCT
ejpam-5729	242	2	1	1	NUM
ejpam-5729	242	3	h	h	NOUN
ejpam-5729	242	4	(	(	PUNCT
ejpam-5729	242	5	κ(2	κ(2	PROPN
ejpam-5729	242	6	t	t	PROPN
ejpam-5729	242	7	)	)	PUNCT
ejpam-5729	242	8	(	(	PUNCT
ejpam-5729	242	9	u	u	NOUN
ejpam-5729	242	10	)	)	PUNCT
ejpam-5729	242	11	)	)	PUNCT
ejpam-5729	243	1	−	−	PROPN
ejpam-5729	243	2	1	1	NUM
ejpam-5729	243	3	]	]	PUNCT
ejpam-5729	243	4	ω	ω	NOUN
ejpam-5729	243	5	(	(	PUNCT
ejpam-5729	243	6	κ(2	κ(2	PROPN
ejpam-5729	243	7	t	t	PROPN
ejpam-5729	243	8	)	)	PUNCT
ejpam-5729	243	9	(	(	PUNCT
ejpam-5729	243	10	u	u	NOUN
ejpam-5729	243	11	)	)	PUNCT
ejpam-5729	243	12	)	)	PUNCT
ejpam-5729	243	13	>	>	X
ejpam-5729	244	1	ω	ω	PROPN
ejpam-5729	244	2	(	(	PUNCT
ejpam-5729	244	3	u	u	NOUN
ejpam-5729	244	4	)	)	PUNCT
ejpam-5729	244	5	γ∑	γ∑	PUNCT
ejpam-5729	244	6	t=0	t=0	PROPN
ejpam-5729	244	7	(	(	PUNCT
ejpam-5729	244	8	2t∏	2t∏	NUM
ejpam-5729	244	9	m=0	m=0	PROPN
ejpam-5729	244	10	h	h	PROPN
ejpam-5729	244	11	(	(	PUNCT
ejpam-5729	244	12	κ(m	κ(m	PROPN
ejpam-5729	244	13	)	)	PUNCT
ejpam-5729	244	14	(	(	PUNCT
ejpam-5729	244	15	u	u	NOUN
ejpam-5729	244	16	)	)	PUNCT
ejpam-5729	244	17	)	)	PUNCT
ejpam-5729	244	18	)	)	PUNCT
ejpam-5729	245	1	[	[	PUNCT
ejpam-5729	245	2	1	1	NUM
ejpam-5729	245	3	h	h	NOUN
ejpam-5729	245	4	(	(	PUNCT
ejpam-5729	245	5	κ(2	κ(2	PROPN
ejpam-5729	245	6	t	t	PROPN
ejpam-5729	245	7	)	)	PUNCT
ejpam-5729	245	8	(	(	PUNCT
ejpam-5729	245	9	u	u	NOUN
ejpam-5729	245	10	)	)	PUNCT
ejpam-5729	245	11	)	)	PUNCT
ejpam-5729	246	1	−	−	PROPN
ejpam-5729	246	2	1	1	NUM
ejpam-5729	246	3	]	]	PUNCT
ejpam-5729	246	4	i1	i1	PROPN
ejpam-5729	246	5	(	(	PUNCT
ejpam-5729	246	6	κ(2	κ(2	PROPN
ejpam-5729	246	7	t	t	PROPN
ejpam-5729	246	8	)	)	PUNCT
ejpam-5729	246	9	(	(	PUNCT
ejpam-5729	246	10	u	u	NOUN
ejpam-5729	246	11	)	)	PUNCT
ejpam-5729	246	12	)	)	PUNCT
ejpam-5729	246	13	i1	i1	PROPN
ejpam-5729	246	14	(	(	PUNCT
ejpam-5729	246	15	u	u	NOUN
ejpam-5729	246	16	)	)	PUNCT
ejpam-5729	246	17	.	.	PUNCT
ejpam-5729	247	1	combining	combine	VERB
ejpam-5729	247	2	this	this	DET
ejpam-5729	247	3	inequality	inequality	NOUN
ejpam-5729	247	4	with	with	ADP
ejpam-5729	247	5	(	(	PUNCT
ejpam-5729	247	6	1	1	NUM
ejpam-5729	247	7	)	)	PUNCT
ejpam-5729	247	8	,	,	PUNCT
ejpam-5729	247	9	we	we	PRON
ejpam-5729	247	10	get	get	VERB
ejpam-5729	247	11	(	(	PUNCT
ejpam-5729	247	12	19	19	NUM
ejpam-5729	247	13	)	)	PUNCT
ejpam-5729	247	14	.	.	PUNCT
ejpam-5729	248	1	this	this	PRON
ejpam-5729	248	2	ends	end	VERB
ejpam-5729	248	3	the	the	DET
ejpam-5729	248	4	proof	proof	NOUN
ejpam-5729	248	5	.	.	PUNCT
ejpam-5729	249	1	theorem	theorem	NOUN
ejpam-5729	249	2	2	2	NUM
ejpam-5729	249	3	.	.	PUNCT
ejpam-5729	249	4	suppose	suppose	VERB
ejpam-5729	249	5	that	that	SCONJ
ejpam-5729	249	6	the	the	DET
ejpam-5729	249	7	two	two	NUM
ejpam-5729	249	8	first	first	ADJ
ejpam-5729	249	9	-	-	PUNCT
ejpam-5729	249	10	order	order	NOUN
ejpam-5729	249	11	ddes	dde	NOUN
ejpam-5729	249	12	g′	g′	NOUN
ejpam-5729	249	13	(	(	PUNCT
ejpam-5729	249	14	u	u	NOUN
ejpam-5729	249	15	)	)	PUNCT
ejpam-5729	249	16	+	+	CCONJ
ejpam-5729	249	17	s1	s1	NOUN
ejpam-5729	249	18	(	(	PUNCT
ejpam-5729	249	19	u	u	NOUN
ejpam-5729	249	20	)	)	PUNCT
ejpam-5729	249	21	g	g	PROPN
ejpam-5729	249	22	(	(	PUNCT
ejpam-5729	249	23	ρ	ρ	PROPN
ejpam-5729	249	24	(	(	PUNCT
ejpam-5729	249	25	u	u	NOUN
ejpam-5729	249	26	)	)	PUNCT
ejpam-5729	249	27	)	)	PUNCT
ejpam-5729	250	1	=	=	SYM
ejpam-5729	250	2	0	0	PUNCT
ejpam-5729	250	3	(	(	PUNCT
ejpam-5729	250	4	21	21	NUM
ejpam-5729	250	5	)	)	PUNCT
ejpam-5729	250	6	and	and	CCONJ
ejpam-5729	250	7	g′	g′	NOUN
ejpam-5729	250	8	(	(	PUNCT
ejpam-5729	250	9	u	u	NOUN
ejpam-5729	250	10	)	)	PUNCT
ejpam-5729	250	11	+	+	CCONJ
ejpam-5729	250	12	s2	s2	X
ejpam-5729	250	13	(	(	PUNCT
ejpam-5729	250	14	u	u	NOUN
ejpam-5729	250	15	)	)	PUNCT
ejpam-5729	250	16	g	g	PROPN
ejpam-5729	250	17	(	(	PUNCT
ejpam-5729	250	18	ρ	ρ	PROPN
ejpam-5729	250	19	(	(	PUNCT
ejpam-5729	250	20	u	u	NOUN
ejpam-5729	250	21	)	)	PUNCT
ejpam-5729	250	22	)	)	PUNCT
ejpam-5729	251	1	=	=	SYM
ejpam-5729	251	2	0	0	PUNCT
ejpam-5729	251	3	(	(	PUNCT
ejpam-5729	251	4	22	22	NUM
ejpam-5729	251	5	)	)	PUNCT
ejpam-5729	251	6	are	be	AUX
ejpam-5729	251	7	oscillatory	oscillatory	ADJ
ejpam-5729	251	8	,	,	PUNCT
ejpam-5729	251	9	then	then	ADV
ejpam-5729	251	10	equation	equation	NOUN
ejpam-5729	251	11	(	(	PUNCT
ejpam-5729	251	12	1	1	X
ejpam-5729	251	13	)	)	PUNCT
ejpam-5729	251	14	is	be	AUX
ejpam-5729	251	15	oscillatory	oscillatory	ADJ
ejpam-5729	251	16	.	.	PUNCT
ejpam-5729	252	1	w.	w.	PROPN
ejpam-5729	252	2	muhsin	muhsin	PROPN
ejpam-5729	252	3	et	et	PROPN
ejpam-5729	252	4	al	al	PROPN
ejpam-5729	252	5	.	.	PUNCT
ejpam-5729	252	6	/	/	SYM
ejpam-5729	252	7	eur	eur	PROPN
ejpam-5729	252	8	.	.	PUNCT
ejpam-5729	253	1	j.	j.	PROPN
ejpam-5729	253	2	pure	pure	PROPN
ejpam-5729	253	3	appl	appl	PROPN
ejpam-5729	253	4	.	.	PROPN
ejpam-5729	253	5	math	math	PROPN
ejpam-5729	253	6	,	,	PUNCT
ejpam-5729	253	7	18	18	NUM
ejpam-5729	253	8	(	(	PUNCT
ejpam-5729	253	9	1	1	NUM
ejpam-5729	253	10	)	)	PUNCT
ejpam-5729	253	11	(	(	PUNCT
ejpam-5729	253	12	2025	2025	NUM
ejpam-5729	253	13	)	)	PUNCT
ejpam-5729	253	14	,	,	PUNCT
ejpam-5729	253	15	5729	5729	NUM
ejpam-5729	253	16	12	12	NUM
ejpam-5729	253	17	of	of	ADP
ejpam-5729	253	18	17	17	NUM
ejpam-5729	253	19	proof	proof	NOUN
ejpam-5729	253	20	.	.	PUNCT
ejpam-5729	254	1	assume	assume	VERB
ejpam-5729	254	2	that	that	SCONJ
ejpam-5729	254	3	(	(	PUNCT
ejpam-5729	254	4	1	1	X
ejpam-5729	254	5	)	)	PUNCT
ejpam-5729	254	6	has	have	VERB
ejpam-5729	254	7	an	an	DET
ejpam-5729	254	8	eventually	eventually	ADV
ejpam-5729	254	9	positive	positive	ADJ
ejpam-5729	254	10	solution	solution	NOUN
ejpam-5729	254	11	at	at	ADP
ejpam-5729	254	12	x.	x.	NOUN
ejpam-5729	254	13	one	one	NUM
ejpam-5729	254	14	solution	solution	NOUN
ejpam-5729	254	15	to	to	PART
ejpam-5729	254	16	lemma	lemma	PROPN
ejpam-5729	254	17	3	3	NUM
ejpam-5729	254	18	meets	meet	VERB
ejpam-5729	254	19	any	any	PRON
ejpam-5729	254	20	of	of	ADP
ejpam-5729	254	21	the	the	DET
ejpam-5729	254	22	the	the	DET
ejpam-5729	254	23	possibilities	possibility	NOUN
ejpam-5729	254	24	of	of	ADP
ejpam-5729	254	25	l+	l+	NOUN
ejpam-5729	254	26	or	or	CCONJ
ejpam-5729	254	27	l−.	l−.	X
ejpam-5729	254	28	by	by	ADP
ejpam-5729	254	29	replacing	replace	VERB
ejpam-5729	254	30	the	the	DET
ejpam-5729	254	31	relationship	relationship	NOUN
ejpam-5729	254	32	(	(	PUNCT
ejpam-5729	254	33	10	10	NUM
ejpam-5729	254	34	)	)	PUNCT
ejpam-5729	254	35	by	by	ADP
ejpam-5729	254	36	(	(	PUNCT
ejpam-5729	254	37	12	12	NUM
ejpam-5729	254	38	)	)	PUNCT
ejpam-5729	254	39	in	in	ADP
ejpam-5729	254	40	the	the	DET
ejpam-5729	254	41	case	case	NOUN
ejpam-5729	254	42	l+	l+	NOUN
ejpam-5729	254	43	and	and	CCONJ
ejpam-5729	254	44	by	by	ADP
ejpam-5729	254	45	(	(	PUNCT
ejpam-5729	254	46	19	19	NUM
ejpam-5729	254	47	)	)	PUNCT
ejpam-5729	254	48	in	in	ADP
ejpam-5729	254	49	the	the	DET
ejpam-5729	254	50	case	case	NOUN
ejpam-5729	254	51	l−.	l−.	PROPN
ejpam-5729	254	52	we	we	PRON
ejpam-5729	254	53	get	get	VERB
ejpam-5729	254	54	(	(	PUNCT
ejpam-5729	254	55	21	21	NUM
ejpam-5729	254	56	)	)	PUNCT
ejpam-5729	254	57	and	and	CCONJ
ejpam-5729	254	58	(	(	PUNCT
ejpam-5729	254	59	22	22	NUM
ejpam-5729	254	60	)	)	PUNCT
ejpam-5729	254	61	.	.	PUNCT
ejpam-5729	255	1	this	this	PRON
ejpam-5729	255	2	ends	end	VERB
ejpam-5729	255	3	the	the	DET
ejpam-5729	255	4	proof	proof	NOUN
ejpam-5729	255	5	.	.	PUNCT
ejpam-5729	256	1	example	example	NOUN
ejpam-5729	256	2	1	1	NUM
ejpam-5729	256	3	.	.	X
ejpam-5729	257	1	consider	consider	VERB
ejpam-5729	257	2	(	(	PUNCT
ejpam-5729	257	3	x	x	X
ejpam-5729	257	4	(	(	PUNCT
ejpam-5729	257	5	u	u	NOUN
ejpam-5729	257	6	)	)	PUNCT
ejpam-5729	257	7	+	+	CCONJ
ejpam-5729	257	8	h0x	h0x	NOUN
ejpam-5729	257	9	(	(	PUNCT
ejpam-5729	257	10	κ0u	κ0u	PROPN
ejpam-5729	257	11	)	)	PUNCT
ejpam-5729	257	12	)	)	PUNCT
ejpam-5729	257	13	(	(	PUNCT
ejpam-5729	257	14	4	4	X
ejpam-5729	257	15	)	)	PUNCT
ejpam-5729	257	16	+	+	CCONJ
ejpam-5729	258	1	q0	q0	PROPN
ejpam-5729	258	2	u4	u4	PROPN
ejpam-5729	258	3	x	x	X
ejpam-5729	258	4	(	(	PUNCT
ejpam-5729	258	5	ρ0u	ρ0u	NOUN
ejpam-5729	258	6	)	)	PUNCT
ejpam-5729	258	7	=	=	SYM
ejpam-5729	258	8	0	0	NUM
ejpam-5729	258	9	,	,	PUNCT
ejpam-5729	258	10	(	(	PUNCT
ejpam-5729	258	11	23	23	NUM
ejpam-5729	258	12	)	)	PUNCT
ejpam-5729	258	13	where	where	SCONJ
ejpam-5729	258	14	u	u	NOUN
ejpam-5729	258	15	>	>	X
ejpam-5729	258	16	0	0	PROPN
ejpam-5729	258	17	,	,	PUNCT
ejpam-5729	258	18	h0	h0	NOUN
ejpam-5729	258	19	∈	∈	PROPN
ejpam-5729	258	20	[	[	X
ejpam-5729	258	21	0	0	NUM
ejpam-5729	258	22	,	,	PUNCT
ejpam-5729	258	23	1	1	NUM
ejpam-5729	258	24	)	)	PUNCT
ejpam-5729	258	25	,	,	PUNCT
ejpam-5729	258	26	q0	q0	VERB
ejpam-5729	258	27	>	>	X
ejpam-5729	258	28	0	0	PROPN
ejpam-5729	258	29	,	,	PUNCT
ejpam-5729	258	30	ρ	ρ	PROPN
ejpam-5729	258	31	,	,	PUNCT
ejpam-5729	258	32	κ	κ	PROPN
ejpam-5729	258	33	∈	∈	PROPN
ejpam-5729	258	34	(	(	PUNCT
ejpam-5729	258	35	0	0	NUM
ejpam-5729	258	36	,	,	PUNCT
ejpam-5729	258	37	1	1	NUM
ejpam-5729	258	38	)	)	PUNCT
ejpam-5729	258	39	,	,	PUNCT
ejpam-5729	258	40	and	and	CCONJ
ejpam-5729	258	41	a1	a1	NOUN
ejpam-5729	258	42	(	(	PUNCT
ejpam-5729	258	43	u	u	NOUN
ejpam-5729	258	44	)	)	PUNCT
ejpam-5729	258	45	=	=	SYM
ejpam-5729	258	46	a2	a2	PROPN
ejpam-5729	258	47	(	(	PUNCT
ejpam-5729	258	48	u	u	NOUN
ejpam-5729	258	49	)	)	PUNCT
ejpam-5729	258	50	=	=	NOUN
ejpam-5729	258	51	a3	a3	NOUN
ejpam-5729	258	52	(	(	PUNCT
ejpam-5729	258	53	u	u	NOUN
ejpam-5729	258	54	)	)	PUNCT
ejpam-5729	258	55	=	=	SYM
ejpam-5729	259	1	1	1	X
ejpam-5729	259	2	.	.	X
ejpam-5729	259	3	for	for	ADP
ejpam-5729	259	4	our	our	PRON
ejpam-5729	259	5	equation	equation	NOUN
ejpam-5729	259	6	it	it	PRON
ejpam-5729	259	7	is	be	AUX
ejpam-5729	259	8	easy	easy	ADJ
ejpam-5729	259	9	to	to	PART
ejpam-5729	259	10	verify	verify	VERB
ejpam-5729	259	11	that	that	DET
ejpam-5729	259	12	q	q	NOUN
ejpam-5729	259	13	(	(	PUNCT
ejpam-5729	259	14	u	u	NOUN
ejpam-5729	259	15	)	)	PUNCT
ejpam-5729	259	16	:	:	PUNCT
ejpam-5729	260	1	=	=	SYM
ejpam-5729	260	2	(	(	PUNCT
ejpam-5729	260	3	1−	1−	NUM
ejpam-5729	260	4	h	h	NOUN
ejpam-5729	260	5	(	(	PUNCT
ejpam-5729	260	6	ρ	ρ	PROPN
ejpam-5729	260	7	(	(	PUNCT
ejpam-5729	260	8	u	u	NOUN
ejpam-5729	260	9	)	)	PUNCT
ejpam-5729	260	10	)	)	PUNCT
ejpam-5729	260	11	)	)	PUNCT
ejpam-5729	260	12	q	q	NOUN
ejpam-5729	260	13	(	(	PUNCT
ejpam-5729	260	14	u	u	NOUN
ejpam-5729	260	15	)	)	PUNCT
ejpam-5729	260	16	=	=	SYM
ejpam-5729	261	1	q0	q0	PROPN
ejpam-5729	261	2	(	(	PUNCT
ejpam-5729	261	3	1−	1−	NUM
ejpam-5729	261	4	h0	h0	NOUN
ejpam-5729	261	5	)	)	PUNCT
ejpam-5729	261	6	1	1	NUM
ejpam-5729	261	7	u4	u4	PROPN
ejpam-5729	261	8	,	,	PUNCT
ejpam-5729	261	9	and	and	CCONJ
ejpam-5729	261	10	r1	r1	PROPN
ejpam-5729	261	11	(	(	PUNCT
ejpam-5729	261	12	u	u	NOUN
ejpam-5729	261	13	)	)	PUNCT
ejpam-5729	261	14	=	=	SYM
ejpam-5729	261	15	(	(	PUNCT
ejpam-5729	261	16	1	1	NUM
ejpam-5729	261	17	a2	a2	PROPN
ejpam-5729	261	18	(	(	PUNCT
ejpam-5729	261	19	u	u	NOUN
ejpam-5729	261	20	)	)	PUNCT
ejpam-5729	261	21	∫	∫	PROPN
ejpam-5729	261	22	∞	∞	PROPN
ejpam-5729	261	23	u	u	PROPN
ejpam-5729	261	24	1	1	NUM
ejpam-5729	261	25	a3	a3	NOUN
ejpam-5729	261	26	(	(	PUNCT
ejpam-5729	261	27	ξ	ξ	NOUN
ejpam-5729	261	28	)	)	PUNCT
ejpam-5729	261	29	∫	∫	PROPN
ejpam-5729	262	1	∞	∞	PROPN
ejpam-5729	262	2	ξ	ξ	PROPN
ejpam-5729	262	3	q	q	X
ejpam-5729	262	4	(	(	PUNCT
ejpam-5729	262	5	v	v	NOUN
ejpam-5729	262	6	)	)	PUNCT
ejpam-5729	262	7	dvdξ	dvdξ	NOUN
ejpam-5729	262	8	)	)	PUNCT
ejpam-5729	262	9	∫	∫	PROPN
ejpam-5729	262	10	ρ(u	ρ(u	PROPN
ejpam-5729	262	11	)	)	PUNCT
ejpam-5729	262	12	u1	u1	NOUN
ejpam-5729	262	13	1	1	NUM
ejpam-5729	262	14	a1	a1	NOUN
ejpam-5729	262	15	(	(	PUNCT
ejpam-5729	262	16	v	v	NOUN
ejpam-5729	262	17	)	)	PUNCT
ejpam-5729	262	18	dv	dv	PROPN
ejpam-5729	262	19	=	=	PUNCT
ejpam-5729	263	1	(	(	PUNCT
ejpam-5729	263	2	∫	∫	PROPN
ejpam-5729	263	3	∞	∞	NUM
ejpam-5729	263	4	u	u	NOUN
ejpam-5729	263	5	∫	∫	PROPN
ejpam-5729	263	6	∞	∞	PROPN
ejpam-5729	263	7	ξ	ξ	PROPN
ejpam-5729	263	8	q0	q0	PROPN
ejpam-5729	263	9	(	(	PUNCT
ejpam-5729	263	10	1−	1−	NUM
ejpam-5729	263	11	h0	h0	NOUN
ejpam-5729	263	12	)	)	PUNCT
ejpam-5729	263	13	1	1	NUM
ejpam-5729	263	14	v4	v4	NOUN
ejpam-5729	263	15	dvdξ	dvdξ	NOUN
ejpam-5729	263	16	)	)	PUNCT
ejpam-5729	263	17	∫	∫	PROPN
ejpam-5729	264	1	ρ0u	ρ0u	PROPN
ejpam-5729	264	2	u1	u1	PROPN
ejpam-5729	264	3	dv	dv	PROPN
ejpam-5729	264	4	=	=	PROPN
ejpam-5729	264	5	q0	q0	PROPN
ejpam-5729	264	6	(	(	PUNCT
ejpam-5729	264	7	1−	1−	NUM
ejpam-5729	264	8	h0	h0	NOUN
ejpam-5729	264	9	)	)	PUNCT
ejpam-5729	264	10	(	(	PUNCT
ejpam-5729	264	11	∫	∫	PROPN
ejpam-5729	264	12	∞	∞	PROPN
ejpam-5729	264	13	u	u	NOUN
ejpam-5729	264	14	∫	∫	PROPN
ejpam-5729	264	15	∞	∞	PROPN
ejpam-5729	264	16	ξ	ξ	SYM
ejpam-5729	264	17	1	1	NUM
ejpam-5729	264	18	v4	v4	NOUN
ejpam-5729	264	19	dvdξ	dvdξ	NOUN
ejpam-5729	264	20	)	)	PUNCT
ejpam-5729	265	1	ρ0u	ρ0u	NOUN
ejpam-5729	265	2	=	=	PRON
ejpam-5729	266	1	q0	q0	PROPN
ejpam-5729	266	2	(	(	PUNCT
ejpam-5729	266	3	1−	1−	NUM
ejpam-5729	266	4	h0	h0	NOUN
ejpam-5729	266	5	)	)	PUNCT
ejpam-5729	266	6	(	(	PUNCT
ejpam-5729	266	7	∫	∫	PROPN
ejpam-5729	266	8	∞	∞	NUM
ejpam-5729	266	9	u	u	PROPN
ejpam-5729	266	10	1	1	NUM
ejpam-5729	266	11	3ξ3	3ξ3	NUM
ejpam-5729	266	12	dξ	dξ	PROPN
ejpam-5729	266	13	)	)	PUNCT
ejpam-5729	267	1	ρ0u	ρ0u	NOUN
ejpam-5729	267	2	=	=	PRON
ejpam-5729	268	1	q0	q0	PROPN
ejpam-5729	268	2	(	(	PUNCT
ejpam-5729	268	3	1−	1−	NUM
ejpam-5729	268	4	h0	h0	NOUN
ejpam-5729	268	5	)	)	PUNCT
ejpam-5729	268	6	(	(	PUNCT
ejpam-5729	268	7	1	1	NUM
ejpam-5729	268	8	6u2	6u2	NUM
ejpam-5729	268	9	)	)	PUNCT
ejpam-5729	269	1	ρ0u	ρ0u	NOUN
ejpam-5729	269	2	=	=	SYM
ejpam-5729	269	3	ρ0q0	ρ0q0	X
ejpam-5729	269	4	(	(	PUNCT
ejpam-5729	269	5	1−	1−	NUM
ejpam-5729	269	6	h0	h0	NOUN
ejpam-5729	269	7	)	)	PUNCT
ejpam-5729	269	8	6	6	NUM
ejpam-5729	269	9	1	1	NUM
ejpam-5729	269	10	u	u	NOUN
ejpam-5729	269	11	.	.	PUNCT
ejpam-5729	270	1	thus	thus	ADV
ejpam-5729	270	2	,	,	PUNCT
ejpam-5729	270	3	condition	condition	NOUN
ejpam-5729	270	4	(	(	PUNCT
ejpam-5729	270	5	11	11	NUM
ejpam-5729	270	6	)	)	PUNCT
ejpam-5729	270	7	for	for	ADP
ejpam-5729	270	8	i	i	PRON
ejpam-5729	270	9	=	=	SYM
ejpam-5729	270	10	1	1	NUM
ejpam-5729	270	11	becomes	become	VERB
ejpam-5729	270	12	lim	lim	PROPN
ejpam-5729	270	13	inf	inf	PROPN
ejpam-5729	270	14	u→∞	u→∞	NUM
ejpam-5729	270	15	∫	∫	PROPN
ejpam-5729	270	16	u	u	PROPN
ejpam-5729	270	17	κ(u	κ(u	PROPN
ejpam-5729	270	18	)	)	PUNCT
ejpam-5729	270	19	r1	r1	NOUN
ejpam-5729	270	20	(	(	PUNCT
ejpam-5729	270	21	ξ	ξ	NOUN
ejpam-5729	270	22	)	)	PUNCT
ejpam-5729	270	23	dξ	dξ	PROPN
ejpam-5729	271	1	=	=	PROPN
ejpam-5729	271	2	lim	lim	PROPN
ejpam-5729	271	3	inf	inf	PROPN
ejpam-5729	271	4	u→∞	u→∞	NUM
ejpam-5729	271	5	∫	∫	PROPN
ejpam-5729	271	6	u	u	PROPN
ejpam-5729	271	7	κ0u	κ0u	PROPN
ejpam-5729	271	8	ρ0q0	ρ0q0	X
ejpam-5729	271	9	(	(	PUNCT
ejpam-5729	271	10	1−	1−	NUM
ejpam-5729	271	11	h0	h0	NOUN
ejpam-5729	271	12	)	)	PUNCT
ejpam-5729	271	13	6	6	NUM
ejpam-5729	271	14	1	1	NUM
ejpam-5729	271	15	ξ	ξ	X
ejpam-5729	271	16	dξ	dξ	NOUN
ejpam-5729	271	17	=	=	SYM
ejpam-5729	271	18	ρ0q0	ρ0q0	X
ejpam-5729	271	19	(	(	PUNCT
ejpam-5729	271	20	1−	1−	NUM
ejpam-5729	271	21	h0	h0	NOUN
ejpam-5729	271	22	)	)	PUNCT
ejpam-5729	271	23	6	6	NUM
ejpam-5729	271	24	ln	ln	NOUN
ejpam-5729	271	25	1	1	NUM
ejpam-5729	271	26	κ0	κ0	NOUN
ejpam-5729	271	27	,	,	PUNCT
ejpam-5729	271	28	which	which	PRON
ejpam-5729	271	29	is	be	AUX
ejpam-5729	271	30	satisfied	satisfied	ADJ
ejpam-5729	271	31	when	when	SCONJ
ejpam-5729	271	32	ρ0q0	ρ0q0	X
ejpam-5729	271	33	(	(	PUNCT
ejpam-5729	271	34	1−	1−	NUM
ejpam-5729	271	35	h0	h0	NOUN
ejpam-5729	271	36	)	)	PUNCT
ejpam-5729	271	37	6	6	NUM
ejpam-5729	271	38	ln	ln	NOUN
ejpam-5729	271	39	1	1	NUM
ejpam-5729	271	40	κ0	κ0	NOUN
ejpam-5729	271	41	>	>	X
ejpam-5729	271	42	1	1	NUM
ejpam-5729	271	43	e	e	NOUN
ejpam-5729	271	44	.	.	PUNCT
ejpam-5729	272	1	(	(	PUNCT
ejpam-5729	272	2	24	24	NUM
ejpam-5729	272	3	)	)	PUNCT
ejpam-5729	272	4	similarly	similarly	ADV
ejpam-5729	272	5	,	,	PUNCT
ejpam-5729	272	6	we	we	PRON
ejpam-5729	272	7	have	have	VERB
ejpam-5729	272	8	r2	r2	NOUN
ejpam-5729	272	9	(	(	PUNCT
ejpam-5729	272	10	u	u	NOUN
ejpam-5729	272	11	)	)	PUNCT
ejpam-5729	272	12	=	=	SYM
ejpam-5729	273	1	q	q	X
ejpam-5729	273	2	(	(	PUNCT
ejpam-5729	273	3	u	u	NOUN
ejpam-5729	273	4	)	)	PUNCT
ejpam-5729	273	5	∫	∫	PROPN
ejpam-5729	273	6	u	u	PROPN
ejpam-5729	273	7	u1	u1	PROPN
ejpam-5729	273	8	1	1	NUM
ejpam-5729	273	9	a1	a1	NOUN
ejpam-5729	273	10	(	(	PUNCT
ejpam-5729	273	11	v1	v1	NOUN
ejpam-5729	273	12	)	)	PUNCT
ejpam-5729	273	13	∫	∫	PROPN
ejpam-5729	273	14	v1	v1	PROPN
ejpam-5729	273	15	u1	u1	NOUN
ejpam-5729	273	16	1	1	NUM
ejpam-5729	273	17	a2	a2	PROPN
ejpam-5729	273	18	(	(	PUNCT
ejpam-5729	273	19	ξ	ξ	NOUN
ejpam-5729	273	20	)	)	PUNCT
ejpam-5729	273	21	∫	∫	PROPN
ejpam-5729	274	1	ξ	ξ	PROPN
ejpam-5729	274	2	u1	u1	PROPN
ejpam-5729	274	3	1	1	NUM
ejpam-5729	274	4	a3	a3	NOUN
ejpam-5729	274	5	(	(	PUNCT
ejpam-5729	274	6	v	v	NOUN
ejpam-5729	274	7	)	)	PUNCT
ejpam-5729	274	8	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	274	9	w.	w.	PROPN
ejpam-5729	274	10	muhsin	muhsin	PROPN
ejpam-5729	274	11	et	et	PROPN
ejpam-5729	274	12	al	al	PROPN
ejpam-5729	274	13	.	.	PUNCT
ejpam-5729	274	14	/	/	SYM
ejpam-5729	274	15	eur	eur	PROPN
ejpam-5729	274	16	.	.	PUNCT
ejpam-5729	275	1	j.	j.	PROPN
ejpam-5729	275	2	pure	pure	PROPN
ejpam-5729	275	3	appl	appl	PROPN
ejpam-5729	275	4	.	.	PROPN
ejpam-5729	275	5	math	math	PROPN
ejpam-5729	275	6	,	,	PUNCT
ejpam-5729	275	7	18	18	NUM
ejpam-5729	275	8	(	(	PUNCT
ejpam-5729	275	9	1	1	NUM
ejpam-5729	275	10	)	)	PUNCT
ejpam-5729	275	11	(	(	PUNCT
ejpam-5729	275	12	2025	2025	NUM
ejpam-5729	275	13	)	)	PUNCT
ejpam-5729	275	14	,	,	PUNCT
ejpam-5729	275	15	5729	5729	NUM
ejpam-5729	275	16	13	13	NUM
ejpam-5729	275	17	of	of	ADP
ejpam-5729	275	18	17	17	NUM
ejpam-5729	275	19	=	=	SYM
ejpam-5729	275	20	q0	q0	PROPN
ejpam-5729	275	21	(	(	PUNCT
ejpam-5729	275	22	1−	1−	NUM
ejpam-5729	275	23	h0	h0	NOUN
ejpam-5729	275	24	)	)	PUNCT
ejpam-5729	275	25	1	1	NUM
ejpam-5729	275	26	u4	u4	PROPN
ejpam-5729	275	27	∫	∫	PROPN
ejpam-5729	275	28	u	u	PROPN
ejpam-5729	275	29	u1	u1	PROPN
ejpam-5729	275	30	∫	∫	PROPN
ejpam-5729	275	31	v1	v1	PROPN
ejpam-5729	275	32	u1	u1	PROPN
ejpam-5729	275	33	∫	∫	PROPN
ejpam-5729	275	34	ξ	ξ	PROPN
ejpam-5729	275	35	u1	u1	NOUN
ejpam-5729	275	36	dvdξdv1	dvdξdv1	NOUN
ejpam-5729	275	37	=	=	X
ejpam-5729	276	1	q0	q0	PROPN
ejpam-5729	276	2	(	(	PUNCT
ejpam-5729	276	3	1−	1−	NUM
ejpam-5729	276	4	h0	h0	NOUN
ejpam-5729	276	5	)	)	PUNCT
ejpam-5729	276	6	1	1	NUM
ejpam-5729	276	7	u4	u4	PROPN
ejpam-5729	276	8	u3	u3	PROPN
ejpam-5729	276	9	6	6	NUM
ejpam-5729	276	10	=	=	SYM
ejpam-5729	276	11	q0	q0	PROPN
ejpam-5729	276	12	(	(	PUNCT
ejpam-5729	276	13	1−	1−	NUM
ejpam-5729	276	14	h0	h0	NOUN
ejpam-5729	276	15	)	)	PUNCT
ejpam-5729	276	16	6	6	NUM
ejpam-5729	276	17	1	1	NUM
ejpam-5729	276	18	u	u	NOUN
ejpam-5729	276	19	.	.	PUNCT
ejpam-5729	277	1	thus	thus	ADV
ejpam-5729	277	2	,	,	PUNCT
ejpam-5729	277	3	condition	condition	NOUN
ejpam-5729	277	4	(	(	PUNCT
ejpam-5729	277	5	11	11	NUM
ejpam-5729	277	6	)	)	PUNCT
ejpam-5729	277	7	for	for	ADP
ejpam-5729	277	8	i	i	PRON
ejpam-5729	277	9	=	=	SYM
ejpam-5729	277	10	2	2	NUM
ejpam-5729	277	11	becomes	become	VERB
ejpam-5729	277	12	lim	lim	PROPN
ejpam-5729	277	13	inf	inf	PROPN
ejpam-5729	277	14	u→∞	u→∞	NUM
ejpam-5729	277	15	∫	∫	PROPN
ejpam-5729	277	16	u	u	PROPN
ejpam-5729	277	17	κ(u	κ(u	PROPN
ejpam-5729	277	18	)	)	PUNCT
ejpam-5729	277	19	r2	r2	NOUN
ejpam-5729	277	20	(	(	PUNCT
ejpam-5729	277	21	ξ	ξ	NOUN
ejpam-5729	277	22	)	)	PUNCT
ejpam-5729	277	23	dξ	dξ	PROPN
ejpam-5729	278	1	=	=	PROPN
ejpam-5729	278	2	lim	lim	PROPN
ejpam-5729	278	3	inf	inf	PROPN
ejpam-5729	278	4	u→∞	u→∞	NUM
ejpam-5729	278	5	∫	∫	PROPN
ejpam-5729	278	6	u	u	PROPN
ejpam-5729	278	7	κ0u	κ0u	PROPN
ejpam-5729	278	8	q0	q0	PROPN
ejpam-5729	278	9	(	(	PUNCT
ejpam-5729	278	10	1−	1−	NUM
ejpam-5729	278	11	h0	h0	NOUN
ejpam-5729	278	12	)	)	PUNCT
ejpam-5729	278	13	6	6	NUM
ejpam-5729	278	14	1	1	NUM
ejpam-5729	278	15	ξ	ξ	X
ejpam-5729	278	16	dξ	dξ	NOUN
ejpam-5729	279	1	=	=	NOUN
ejpam-5729	279	2	q0	q0	PROPN
ejpam-5729	279	3	(	(	PUNCT
ejpam-5729	279	4	1−	1−	NUM
ejpam-5729	279	5	h0	h0	NOUN
ejpam-5729	279	6	)	)	PUNCT
ejpam-5729	279	7	6	6	NUM
ejpam-5729	279	8	ln	ln	NOUN
ejpam-5729	279	9	1	1	NUM
ejpam-5729	279	10	κ0	κ0	NOUN
ejpam-5729	279	11	,	,	PUNCT
ejpam-5729	279	12	which	which	PRON
ejpam-5729	279	13	is	be	AUX
ejpam-5729	279	14	satisfied	satisfied	ADJ
ejpam-5729	279	15	when	when	SCONJ
ejpam-5729	279	16	q0	q0	PROPN
ejpam-5729	279	17	(	(	PUNCT
ejpam-5729	279	18	1−	1−	NUM
ejpam-5729	279	19	h0	h0	NOUN
ejpam-5729	279	20	)	)	PUNCT
ejpam-5729	279	21	6	6	NUM
ejpam-5729	279	22	ln	ln	NOUN
ejpam-5729	279	23	1	1	NUM
ejpam-5729	279	24	κ0	κ0	NOUN
ejpam-5729	279	25	>	>	X
ejpam-5729	279	26	1	1	NUM
ejpam-5729	279	27	e	e	NOUN
ejpam-5729	279	28	.	.	PUNCT
ejpam-5729	280	1	(	(	PUNCT
ejpam-5729	280	2	25	25	NUM
ejpam-5729	280	3	)	)	PUNCT
ejpam-5729	280	4	using	use	VERB
ejpam-5729	280	5	corollary	corollary	ADJ
ejpam-5729	280	6	1	1	NUM
ejpam-5729	280	7	,	,	PUNCT
ejpam-5729	280	8	we	we	PRON
ejpam-5729	280	9	conclude	conclude	VERB
ejpam-5729	280	10	that	that	PRON
ejpam-5729	280	11	equation	equation	NOUN
ejpam-5729	280	12	(	(	PUNCT
ejpam-5729	280	13	23	23	NUM
ejpam-5729	280	14	)	)	PUNCT
ejpam-5729	280	15	is	be	AUX
ejpam-5729	280	16	oscillatory	oscillatory	ADJ
ejpam-5729	280	17	if	if	SCONJ
ejpam-5729	280	18	both	both	DET
ejpam-5729	280	19	conditions	condition	NOUN
ejpam-5729	280	20	(	(	PUNCT
ejpam-5729	280	21	24	24	NUM
ejpam-5729	280	22	)	)	PUNCT
ejpam-5729	280	23	and	and	CCONJ
ejpam-5729	280	24	(	(	PUNCT
ejpam-5729	280	25	25	25	NUM
ejpam-5729	280	26	)	)	PUNCT
ejpam-5729	280	27	are	be	AUX
ejpam-5729	280	28	satisfied	satisfied	ADJ
ejpam-5729	280	29	.	.	PUNCT
ejpam-5729	281	1	3	3	X
ejpam-5729	281	2	.	.	X
ejpam-5729	281	3	conclusion	conclusion	NOUN
ejpam-5729	281	4	in	in	ADP
ejpam-5729	281	5	the	the	DET
ejpam-5729	281	6	canonical	canonical	ADJ
ejpam-5729	281	7	case	case	NOUN
ejpam-5729	281	8	,	,	PUNCT
ejpam-5729	281	9	this	this	DET
ejpam-5729	281	10	work	work	NOUN
ejpam-5729	281	11	focuses	focus	VERB
ejpam-5729	281	12	on	on	ADP
ejpam-5729	281	13	a	a	DET
ejpam-5729	281	14	fundamental	fundamental	ADJ
ejpam-5729	281	15	matter	matter	NOUN
ejpam-5729	281	16	,	,	PUNCT
ejpam-5729	281	17	namely	namely	ADV
ejpam-5729	281	18	understanding	understand	VERB
ejpam-5729	281	19	the	the	DET
ejpam-5729	281	20	relationships	relationship	NOUN
ejpam-5729	281	21	between	between	ADP
ejpam-5729	281	22	the	the	DET
ejpam-5729	281	23	corresponding	correspond	VERB
ejpam-5729	281	24	function	function	PROPN
ejpam-5729	281	25	ω	ω	PROPN
ejpam-5729	281	26	(	(	PUNCT
ejpam-5729	281	27	u	u	NOUN
ejpam-5729	281	28	)	)	PUNCT
ejpam-5729	281	29	and	and	CCONJ
ejpam-5729	281	30	the	the	DET
ejpam-5729	281	31	solution	solution	NOUN
ejpam-5729	281	32	x	x	INTJ
ejpam-5729	281	33	(	(	PUNCT
ejpam-5729	281	34	u	u	NOUN
ejpam-5729	281	35	)	)	PUNCT
ejpam-5729	281	36	for	for	ADP
ejpam-5729	281	37	the	the	DET
ejpam-5729	281	38	fourth	fourth	ADJ
ejpam-5729	281	39	-	-	PUNCT
ejpam-5729	281	40	order	order	NOUN
ejpam-5729	281	41	ndde	ndde	NOUN
ejpam-5729	281	42	.	.	PUNCT
ejpam-5729	282	1	we	we	PRON
ejpam-5729	282	2	have	have	AUX
ejpam-5729	282	3	presented	present	VERB
ejpam-5729	282	4	oscillation	oscillation	NOUN
ejpam-5729	282	5	theories	theory	NOUN
ejpam-5729	282	6	through	through	ADP
ejpam-5729	282	7	which	which	PRON
ejpam-5729	282	8	we	we	PRON
ejpam-5729	282	9	have	have	AUX
ejpam-5729	282	10	established	establish	VERB
ejpam-5729	282	11	oscillation	oscillation	NOUN
ejpam-5729	282	12	criteria	criterion	NOUN
ejpam-5729	282	13	that	that	PRON
ejpam-5729	282	14	guarantee	guarantee	VERB
ejpam-5729	282	15	the	the	DET
ejpam-5729	282	16	oscillation	oscillation	NOUN
ejpam-5729	282	17	of	of	ADP
ejpam-5729	282	18	the	the	DET
ejpam-5729	282	19	solutions	solution	NOUN
ejpam-5729	282	20	to	to	ADP
ejpam-5729	282	21	the	the	DET
ejpam-5729	282	22	equation	equation	NOUN
ejpam-5729	282	23	under	under	ADP
ejpam-5729	282	24	study	study	NOUN
ejpam-5729	282	25	.	.	PUNCT
ejpam-5729	282	26	,	,	PUNCT
ejpam-5729	282	27	first	first	ADV
ejpam-5729	282	28	after	after	ADP
ejpam-5729	282	29	using	use	VERB
ejpam-5729	282	30	the	the	DET
ejpam-5729	282	31	classical	classical	ADJ
ejpam-5729	282	32	relation	relation	NOUN
ejpam-5729	282	33	that	that	PRON
ejpam-5729	282	34	links	link	VERB
ejpam-5729	282	35	the	the	DET
ejpam-5729	282	36	solution	solution	NOUN
ejpam-5729	282	37	to	to	ADP
ejpam-5729	282	38	its	its	PRON
ejpam-5729	282	39	corresponding	correspond	VERB
ejpam-5729	282	40	function	function	NOUN
ejpam-5729	282	41	in	in	ADP
ejpam-5729	282	42	the	the	DET
ejpam-5729	282	43	two	two	NUM
ejpam-5729	282	44	cases	case	NOUN
ejpam-5729	282	45	(	(	PUNCT
ejpam-5729	282	46	l−	l−	NOUN
ejpam-5729	282	47	and	and	CCONJ
ejpam-5729	282	48	l+	l+	NOUN
ejpam-5729	282	49	)	)	PUNCT
ejpam-5729	282	50	for	for	ADP
ejpam-5729	282	51	positive	positive	ADJ
ejpam-5729	282	52	solutions	solution	NOUN
ejpam-5729	282	53	of	of	ADP
ejpam-5729	282	54	our	our	PRON
ejpam-5729	282	55	equation	equation	NOUN
ejpam-5729	282	56	.	.	PUNCT
ejpam-5729	283	1	second	second	ADJ
ejpam-5729	283	2	,	,	PUNCT
ejpam-5729	283	3	we	we	PRON
ejpam-5729	283	4	have	have	AUX
ejpam-5729	283	5	improved	improve	VERB
ejpam-5729	283	6	this	this	DET
ejpam-5729	283	7	classical	classical	ADJ
ejpam-5729	283	8	relation	relation	NOUN
ejpam-5729	283	9	in	in	ADP
ejpam-5729	283	10	the	the	DET
ejpam-5729	283	11	two	two	NUM
ejpam-5729	283	12	cases	case	NOUN
ejpam-5729	283	13	(	(	PUNCT
ejpam-5729	283	14	l−	l−	NOUN
ejpam-5729	283	15	and	and	CCONJ
ejpam-5729	283	16	l+	l+	NOUN
ejpam-5729	283	17	)	)	PUNCT
ejpam-5729	283	18	.	.	PUNCT
ejpam-5729	284	1	notably	notably	ADV
ejpam-5729	284	2	,	,	PUNCT
ejpam-5729	284	3	the	the	DET
ejpam-5729	284	4	main	main	ADJ
ejpam-5729	284	5	distinction	distinction	NOUN
ejpam-5729	284	6	between	between	ADP
ejpam-5729	284	7	l+	l+	NOUN
ejpam-5729	284	8	and	and	CCONJ
ejpam-5729	284	9	l−	l−	NOUN
ejpam-5729	284	10	is	be	AUX
ejpam-5729	284	11	the	the	DET
ejpam-5729	284	12	difference	difference	NOUN
ejpam-5729	284	13	in	in	ADP
ejpam-5729	284	14	the	the	DET
ejpam-5729	284	15	second	second	ADJ
ejpam-5729	284	16	derivative	derivative	NOUN
ejpam-5729	284	17	of	of	ADP
ejpam-5729	284	18	the	the	DET
ejpam-5729	284	19	corresponding	corresponding	ADJ
ejpam-5729	284	20	function	function	PROPN
ejpam-5729	284	21	ω	ω	PROPN
ejpam-5729	284	22	(	(	PUNCT
ejpam-5729	284	23	u	u	NOUN
ejpam-5729	284	24	)	)	PUNCT
ejpam-5729	284	25	;	;	PUNCT
ejpam-5729	284	26	however	however	ADV
ejpam-5729	284	27	,	,	PUNCT
ejpam-5729	284	28	this	this	DET
ejpam-5729	284	29	change	change	NOUN
ejpam-5729	284	30	affects	affect	VERB
ejpam-5729	284	31	several	several	ADJ
ejpam-5729	284	32	of	of	ADP
ejpam-5729	284	33	the	the	DET
ejpam-5729	284	34	monotonic	monotonic	ADJ
ejpam-5729	284	35	and	and	CCONJ
ejpam-5729	284	36	asymptotic	asymptotic	ADJ
ejpam-5729	284	37	characteristics	characteristic	NOUN
ejpam-5729	284	38	.	.	PUNCT
ejpam-5729	285	1	the	the	DET
ejpam-5729	285	2	results	result	NOUN
ejpam-5729	285	3	of	of	ADP
ejpam-5729	285	4	this	this	DET
ejpam-5729	285	5	study	study	NOUN
ejpam-5729	285	6	complement	complement	VERB
ejpam-5729	285	7	many	many	ADJ
ejpam-5729	285	8	of	of	ADP
ejpam-5729	285	9	previously	previously	ADV
ejpam-5729	285	10	published	publish	VERB
ejpam-5729	285	11	findings	finding	NOUN
ejpam-5729	285	12	in	in	ADP
ejpam-5729	285	13	the	the	DET
ejpam-5729	285	14	literature	literature	NOUN
ejpam-5729	285	15	.	.	PUNCT
ejpam-5729	286	1	to	to	ADP
ejpam-5729	286	2	our	our	PRON
ejpam-5729	286	3	knowledge	knowledge	NOUN
ejpam-5729	286	4	,	,	PUNCT
ejpam-5729	286	5	this	this	DET
ejpam-5729	286	6	equation	equation	NOUN
ejpam-5729	286	7	has	have	AUX
ejpam-5729	286	8	not	not	PART
ejpam-5729	286	9	been	be	AUX
ejpam-5729	286	10	studied	study	VERB
ejpam-5729	286	11	by	by	ADP
ejpam-5729	286	12	many	many	ADJ
ejpam-5729	286	13	researchers	researcher	NOUN
ejpam-5729	286	14	,	,	PUNCT
ejpam-5729	286	15	so	so	SCONJ
ejpam-5729	286	16	it	it	PRON
ejpam-5729	286	17	would	would	AUX
ejpam-5729	286	18	be	be	AUX
ejpam-5729	286	19	a	a	DET
ejpam-5729	286	20	good	good	ADJ
ejpam-5729	286	21	idea	idea	NOUN
ejpam-5729	286	22	to	to	PART
ejpam-5729	286	23	apply	apply	VERB
ejpam-5729	286	24	these	these	DET
ejpam-5729	286	25	results	result	NOUN
ejpam-5729	286	26	to	to	ADP
ejpam-5729	286	27	non	non	ADJ
ejpam-5729	286	28	-	-	ADJ
ejpam-5729	286	29	linear	linear	ADJ
ejpam-5729	286	30	higher	high	ADJ
ejpam-5729	286	31	-	-	PUNCT
ejpam-5729	286	32	order	order	NOUN
ejpam-5729	286	33	ndes	nde	NOUN
ejpam-5729	286	34	in	in	ADP
ejpam-5729	286	35	the	the	DET
ejpam-5729	286	36	future	future	NOUN
ejpam-5729	286	37	.	.	PUNCT
ejpam-5729	287	1	competing	compete	VERB
ejpam-5729	287	2	interests	interest	NOUN
ejpam-5729	287	3	there	there	PRON
ejpam-5729	287	4	are	be	VERB
ejpam-5729	287	5	no	no	DET
ejpam-5729	287	6	competing	compete	VERB
ejpam-5729	287	7	interests	interest	NOUN
ejpam-5729	287	8	w.	w.	PROPN
ejpam-5729	287	9	muhsin	muhsin	PROPN
ejpam-5729	287	10	et	et	PROPN
ejpam-5729	287	11	al	al	PROPN
ejpam-5729	287	12	.	.	PUNCT
ejpam-5729	287	13	/	/	SYM
ejpam-5729	287	14	eur	eur	PROPN
ejpam-5729	287	15	.	.	PUNCT
ejpam-5729	288	1	j.	j.	PROPN
ejpam-5729	288	2	pure	pure	PROPN
ejpam-5729	288	3	appl	appl	PROPN
ejpam-5729	288	4	.	.	PROPN
ejpam-5729	288	5	math	math	PROPN
ejpam-5729	288	6	,	,	PUNCT
ejpam-5729	288	7	18	18	NUM
ejpam-5729	288	8	(	(	PUNCT
ejpam-5729	288	9	1	1	NUM
ejpam-5729	288	10	)	)	PUNCT
ejpam-5729	288	11	(	(	PUNCT
ejpam-5729	288	12	2025	2025	NUM
ejpam-5729	288	13	)	)	PUNCT
ejpam-5729	288	14	,	,	PUNCT
ejpam-5729	288	15	5729	5729	NUM
ejpam-5729	288	16	14	14	NUM
ejpam-5729	288	17	of	of	ADP
ejpam-5729	288	18	17	17	NUM
ejpam-5729	288	19	references	reference	NOUN
ejpam-5729	288	20	[	[	X
ejpam-5729	288	21	1	1	NUM
ejpam-5729	288	22	]	]	PUNCT
ejpam-5729	288	23	ravi	ravi	PROPN
ejpam-5729	288	24	p.	p.	PROPN
ejpam-5729	288	25	agarwal	agarwal	PROPN
ejpam-5729	288	26	,	,	PUNCT
ejpam-5729	288	27	martin	martin	PROPN
ejpam-5729	288	28	bohner	bohner	NOUN
ejpam-5729	288	29	,	,	PUNCT
ejpam-5729	288	30	tongxing	tongxe	VERB
ejpam-5729	288	31	li	li	NOUN
ejpam-5729	288	32	,	,	PUNCT
ejpam-5729	288	33	and	and	CCONJ
ejpam-5729	288	34	chenghui	chenghui	PROPN
ejpam-5729	288	35	zhang	zhang	PROPN
ejpam-5729	288	36	.	.	PUNCT
ejpam-5729	289	1	a	a	DET
ejpam-5729	289	2	new	new	ADJ
ejpam-5729	289	3	approach	approach	NOUN
ejpam-5729	289	4	in	in	ADP
ejpam-5729	289	5	the	the	DET
ejpam-5729	289	6	study	study	NOUN
ejpam-5729	289	7	of	of	ADP
ejpam-5729	289	8	oscillatory	oscillatory	ADJ
ejpam-5729	289	9	behavior	behavior	NOUN
ejpam-5729	289	10	of	of	ADP
ejpam-5729	289	11	even	even	ADJ
ejpam-5729	289	12	-	-	PUNCT
ejpam-5729	289	13	order	order	NOUN
ejpam-5729	289	14	neutral	neutral	ADJ
ejpam-5729	289	15	delay	delay	NOUN
ejpam-5729	289	16	differential	differential	ADJ
ejpam-5729	289	17	equations	equation	NOUN
ejpam-5729	289	18	.	.	PUNCT
ejpam-5729	290	1	applied	apply	VERB
ejpam-5729	290	2	mathematics	mathematic	NOUN
ejpam-5729	290	3	and	and	CCONJ
ejpam-5729	290	4	computation	computation	NOUN
ejpam-5729	290	5	,	,	PUNCT
ejpam-5729	290	6	225:787–794	225:787–794	NUM
ejpam-5729	290	7	,	,	PUNCT
ejpam-5729	290	8	november	november	PROPN
ejpam-5729	290	9	2013	2013	NUM
ejpam-5729	290	10	.	.	PUNCT
ejpam-5729	291	1	[	[	X
ejpam-5729	291	2	2	2	X
ejpam-5729	291	3	]	]	PUNCT
ejpam-5729	291	4	ravi	ravi	PROPN
ejpam-5729	291	5	p.	p.	PROPN
ejpam-5729	291	6	agarwal	agarwal	PROPN
ejpam-5729	291	7	,	,	PUNCT
ejpam-5729	291	8	said	say	VERB
ejpam-5729	291	9	r.	r.	PROPN
ejpam-5729	291	10	grace	grace	PROPN
ejpam-5729	291	11	,	,	PUNCT
ejpam-5729	291	12	and	and	CCONJ
ejpam-5729	291	13	jelena	jelena	PROPN
ejpam-5729	291	14	v.	v.	PROPN
ejpam-5729	291	15	manojlovic	manojlovic	PROPN
ejpam-5729	291	16	.	.	PUNCT
ejpam-5729	292	1	oscillation	oscillation	NOUN
ejpam-5729	292	2	criteria	criterion	NOUN
ejpam-5729	292	3	for	for	ADP
ejpam-5729	292	4	certain	certain	ADJ
ejpam-5729	292	5	fourth	fourth	ADJ
ejpam-5729	292	6	order	order	NOUN
ejpam-5729	292	7	nonlinear	nonlinear	ADJ
ejpam-5729	292	8	functional	functional	ADJ
ejpam-5729	292	9	differential	differential	ADJ
ejpam-5729	292	10	equations	equation	NOUN
ejpam-5729	292	11	.	.	PUNCT
ejpam-5729	293	1	mathematical	mathematical	ADJ
ejpam-5729	293	2	and	and	CCONJ
ejpam-5729	293	3	computer	computer	NOUN
ejpam-5729	293	4	modelling	modelling	NOUN
ejpam-5729	293	5	,	,	PUNCT
ejpam-5729	293	6	44(1–2):163–187	44(1–2):163–187	NUM
ejpam-5729	293	7	,	,	PUNCT
ejpam-5729	293	8	march	march	PROPN
ejpam-5729	293	9	2006	2006	NUM
ejpam-5729	293	10	.	.	PUNCT
ejpam-5729	294	1	[	[	X
ejpam-5729	294	2	3	3	X
ejpam-5729	294	3	]	]	X
ejpam-5729	294	4	ravi	ravi	PROPN
ejpam-5729	294	5	p.	p.	PROPN
ejpam-5729	294	6	agarwal	agarwal	PROPN
ejpam-5729	294	7	,	,	PUNCT
ejpam-5729	294	8	said	say	VERB
ejpam-5729	294	9	r.	r.	PROPN
ejpam-5729	294	10	grace	grace	PROPN
ejpam-5729	294	11	,	,	PUNCT
ejpam-5729	294	12	and	and	CCONJ
ejpam-5729	294	13	donal	donal	PROPN
ejpam-5729	294	14	o’regan	o’regan	PROPN
ejpam-5729	294	15	.	.	PUNCT
ejpam-5729	295	1	oscillation	oscillation	NOUN
ejpam-5729	295	2	theory	theory	NOUN
ejpam-5729	295	3	for	for	ADP
ejpam-5729	295	4	second	second	ADJ
ejpam-5729	295	5	order	order	NOUN
ejpam-5729	295	6	linear	linear	ADJ
ejpam-5729	295	7	,	,	PUNCT
ejpam-5729	295	8	half	half	ADJ
ejpam-5729	295	9	-	-	PUNCT
ejpam-5729	295	10	linear	linear	ADJ
ejpam-5729	295	11	,	,	PUNCT
ejpam-5729	295	12	superlinear	superlinear	NOUN
ejpam-5729	295	13	and	and	CCONJ
ejpam-5729	295	14	sublinear	sublinear	VERB
ejpam-5729	295	15	dynamic	dynamic	ADJ
ejpam-5729	295	16	equations	equation	NOUN
ejpam-5729	295	17	.	.	PUNCT
ejpam-5729	296	1	springer	springer	NOUN
ejpam-5729	296	2	ebooks	ebooks	PROPN
ejpam-5729	296	3	,	,	PUNCT
ejpam-5729	296	4	january	january	PROPN
ejpam-5729	296	5	2002	2002	NUM
ejpam-5729	296	6	.	.	PUNCT
ejpam-5729	297	1	[	[	X
ejpam-5729	297	2	4	4	X
ejpam-5729	297	3	]	]	ADJ
ejpam-5729	297	4	ravi	ravi	PROPN
ejpam-5729	297	5	p.	p.	PROPN
ejpam-5729	297	6	agarwal	agarwal	PROPN
ejpam-5729	297	7	,	,	PUNCT
ejpam-5729	297	8	said	say	VERB
ejpam-5729	297	9	r.	r.	PROPN
ejpam-5729	297	10	grace	grace	PROPN
ejpam-5729	297	11	,	,	PUNCT
ejpam-5729	297	12	and	and	CCONJ
ejpam-5729	297	13	donal	donal	PROPN
ejpam-5729	297	14	o’regan	o’regan	PROPN
ejpam-5729	297	15	.	.	PUNCT
ejpam-5729	298	1	oscillation	oscillation	NOUN
ejpam-5729	298	2	theory	theory	NOUN
ejpam-5729	298	3	for	for	ADP
ejpam-5729	298	4	second	second	ADJ
ejpam-5729	298	5	order	order	NOUN
ejpam-5729	298	6	dynamic	dynamic	ADJ
ejpam-5729	298	7	equations	equation	NOUN
ejpam-5729	298	8	.	.	PUNCT
ejpam-5729	299	1	crc	crc	PROPN
ejpam-5729	299	2	press	press	NOUN
ejpam-5729	299	3	ebooks	ebook	NOUN
ejpam-5729	299	4	,	,	PUNCT
ejpam-5729	299	5	november	november	PROPN
ejpam-5729	299	6	2002	2002	NUM
ejpam-5729	299	7	.	.	PUNCT
ejpam-5729	300	1	[	[	X
ejpam-5729	300	2	5	5	X
ejpam-5729	300	3	]	]	X
ejpam-5729	300	4	barakah	barakah	NOUN
ejpam-5729	300	5	almarri	almarri	PROPN
ejpam-5729	300	6	,	,	PUNCT
ejpam-5729	300	7	belal	belal	PROPN
ejpam-5729	300	8	batiha	batiha	PROPN
ejpam-5729	300	9	,	,	PUNCT
ejpam-5729	300	10	omar	omar	PROPN
ejpam-5729	300	11	bazighifan	bazighifan	PROPN
ejpam-5729	300	12	,	,	PUNCT
ejpam-5729	300	13	and	and	CCONJ
ejpam-5729	300	14	fahd	fahd	PROPN
ejpam-5729	300	15	masood	masood	PROPN
ejpam-5729	300	16	.	.	PUNCT
ejpam-5729	301	1	third	third	ADJ
ejpam-5729	301	2	-	-	PUNCT
ejpam-5729	301	3	order	order	NOUN
ejpam-5729	301	4	neutral	neutral	ADJ
ejpam-5729	301	5	differential	differential	NOUN
ejpam-5729	301	6	equations	equation	NOUN
ejpam-5729	301	7	with	with	ADP
ejpam-5729	301	8	non	non	ADJ
ejpam-5729	301	9	-	-	ADJ
ejpam-5729	301	10	canonical	canonical	ADJ
ejpam-5729	301	11	forms	form	NOUN
ejpam-5729	301	12	:	:	PUNCT
ejpam-5729	301	13	novel	novel	ADJ
ejpam-5729	301	14	oscillation	oscillation	NOUN
ejpam-5729	301	15	theorems	theorem	NOUN
ejpam-5729	301	16	.	.	PUNCT
ejpam-5729	302	1	axioms	axiom	NOUN
ejpam-5729	302	2	,	,	PUNCT
ejpam-5729	302	3	13(11):755	13(11):755	NUM
ejpam-5729	302	4	,	,	PUNCT
ejpam-5729	302	5	october	october	PROPN
ejpam-5729	302	6	2024	2024	NUM
ejpam-5729	302	7	.	.	PUNCT
ejpam-5729	303	1	[	[	X
ejpam-5729	303	2	6	6	NUM
ejpam-5729	303	3	]	]	PUNCT
ejpam-5729	303	4	barakah	barakah	PROPN
ejpam-5729	303	5	almarri	almarri	PROPN
ejpam-5729	303	6	,	,	PUNCT
ejpam-5729	303	7	s.	s.	PROPN
ejpam-5729	303	8	janaki	janaki	PROPN
ejpam-5729	303	9	,	,	PUNCT
ejpam-5729	303	10	v.	v.	PROPN
ejpam-5729	303	11	ganesan	ganesan	PROPN
ejpam-5729	303	12	,	,	PUNCT
ejpam-5729	303	13	ali	ali	PROPN
ejpam-5729	303	14	hasan	hasan	PROPN
ejpam-5729	303	15	ali	ali	PROPN
ejpam-5729	303	16	,	,	PUNCT
ejpam-5729	303	17	kamsing	kamse	VERB
ejpam-5729	303	18	nonlaopon	nonlaopon	ADV
ejpam-5729	303	19	,	,	PUNCT
ejpam-5729	303	20	and	and	CCONJ
ejpam-5729	303	21	omar	omar	PROPN
ejpam-5729	303	22	bazighifan	bazighifan	PROPN
ejpam-5729	303	23	.	.	PUNCT
ejpam-5729	304	1	novel	novel	ADJ
ejpam-5729	304	2	oscillation	oscillation	NOUN
ejpam-5729	304	3	theorems	theorem	NOUN
ejpam-5729	304	4	and	and	CCONJ
ejpam-5729	304	5	symmetric	symmetric	ADJ
ejpam-5729	304	6	properties	property	NOUN
ejpam-5729	304	7	of	of	ADP
ejpam-5729	304	8	nonlinear	nonlinear	ADJ
ejpam-5729	304	9	delay	delay	NOUN
ejpam-5729	304	10	differential	differential	ADJ
ejpam-5729	304	11	equations	equation	NOUN
ejpam-5729	304	12	of	of	ADP
ejpam-5729	304	13	fourth	fourth	ADJ
ejpam-5729	304	14	-	-	PUNCT
ejpam-5729	304	15	order	order	NOUN
ejpam-5729	304	16	with	with	ADP
ejpam-5729	304	17	a	a	DET
ejpam-5729	304	18	middle	middle	ADJ
ejpam-5729	304	19	term	term	NOUN
ejpam-5729	304	20	.	.	PUNCT
ejpam-5729	305	1	symmetry	symmetry	NOUN
ejpam-5729	305	2	,	,	PUNCT
ejpam-5729	305	3	14(3):585	14(3):585	NUM
ejpam-5729	305	4	,	,	PUNCT
ejpam-5729	305	5	march	march	PROPN
ejpam-5729	305	6	2022	2022	NUM
ejpam-5729	305	7	.	.	PUNCT
ejpam-5729	306	1	[	[	X
ejpam-5729	306	2	7	7	X
ejpam-5729	306	3	]	]	X
ejpam-5729	306	4	ghada	ghada	NOUN
ejpam-5729	306	5	alnemer	alnemer	NOUN
ejpam-5729	306	6	,	,	PUNCT
ejpam-5729	306	7	waed	waed	NOUN
ejpam-5729	306	8	muhsin	muhsin	PROPN
ejpam-5729	306	9	,	,	PUNCT
ejpam-5729	306	10	osama	osama	PROPN
ejpam-5729	306	11	moaaz	moaaz	NOUN
ejpam-5729	306	12	,	,	PUNCT
ejpam-5729	306	13	and	and	CCONJ
ejpam-5729	306	14	elmetwally	elmetwally	ADV
ejpam-5729	306	15	m.	m.	NOUN
ejpam-5729	306	16	elabbasy	elabbasy	PROPN
ejpam-5729	306	17	.	.	PUNCT
ejpam-5729	307	1	on	on	ADP
ejpam-5729	307	2	the	the	DET
ejpam-5729	307	3	positive	positive	ADJ
ejpam-5729	307	4	decreasing	decrease	VERB
ejpam-5729	307	5	solutions	solution	NOUN
ejpam-5729	307	6	of	of	ADP
ejpam-5729	307	7	half	half	ADJ
ejpam-5729	307	8	-	-	PUNCT
ejpam-5729	307	9	linear	linear	NOUN
ejpam-5729	307	10	delay	delay	NOUN
ejpam-5729	307	11	differential	differential	ADJ
ejpam-5729	307	12	equations	equation	NOUN
ejpam-5729	307	13	of	of	ADP
ejpam-5729	307	14	even	even	ADV
ejpam-5729	307	15	order	order	NOUN
ejpam-5729	307	16	.	.	PUNCT
ejpam-5729	308	1	mathematics	mathematic	NOUN
ejpam-5729	308	2	,	,	PUNCT
ejpam-5729	308	3	11(6):1282	11(6):1282	NUM
ejpam-5729	308	4	,	,	PUNCT
ejpam-5729	308	5	march	march	PROPN
ejpam-5729	308	6	2023	2023	NUM
ejpam-5729	308	7	.	.	PUNCT
ejpam-5729	309	1	[	[	X
ejpam-5729	309	2	8	8	NUM
ejpam-5729	309	3	]	]	PUNCT
ejpam-5729	309	4	saad	saad	PROPN
ejpam-5729	309	5	althobati	althobati	PROPN
ejpam-5729	309	6	,	,	PUNCT
ejpam-5729	309	7	jehad	jehad	PROPN
ejpam-5729	309	8	alzabut	alzabut	PROPN
ejpam-5729	309	9	,	,	PUNCT
ejpam-5729	309	10	and	and	CCONJ
ejpam-5729	309	11	omar	omar	PROPN
ejpam-5729	309	12	bazighifan	bazighifan	PROPN
ejpam-5729	309	13	.	.	PUNCT
ejpam-5729	310	1	non	non	ADJ
ejpam-5729	310	2	-	-	ADJ
ejpam-5729	310	3	linear	linear	ADJ
ejpam-5729	310	4	neutral	neutral	ADJ
ejpam-5729	310	5	differential	differential	ADJ
ejpam-5729	310	6	equations	equation	NOUN
ejpam-5729	310	7	with	with	ADP
ejpam-5729	310	8	damping	damp	VERB
ejpam-5729	310	9	:	:	PUNCT
ejpam-5729	310	10	oscillation	oscillation	NOUN
ejpam-5729	310	11	of	of	ADP
ejpam-5729	310	12	solutions	solution	NOUN
ejpam-5729	310	13	.	.	PUNCT
ejpam-5729	311	1	symmetry	symmetry	NOUN
ejpam-5729	311	2	,	,	PUNCT
ejpam-5729	311	3	13(2):285	13(2):285	NUM
ejpam-5729	311	4	,	,	PUNCT
ejpam-5729	311	5	february	february	NOUN
ejpam-5729	311	6	2021	2021	NUM
ejpam-5729	311	7	.	.	PUNCT
ejpam-5729	312	1	[	[	X
ejpam-5729	312	2	9	9	NUM
ejpam-5729	312	3	]	]	X
ejpam-5729	312	4	omar	omar	PROPN
ejpam-5729	312	5	bazighifan	bazighifan	PROPN
ejpam-5729	312	6	,	,	PUNCT
ejpam-5729	312	7	osama	osama	PROPN
ejpam-5729	312	8	moaaz	moaaz	PROPN
ejpam-5729	312	9	,	,	PUNCT
ejpam-5729	312	10	rami	rami	PROPN
ejpam-5729	312	11	el	el	PROPN
ejpam-5729	312	12	-	-	PUNCT
ejpam-5729	312	13	nabulsi	nabulsi	PROPN
ejpam-5729	312	14	,	,	PUNCT
ejpam-5729	312	15	and	and	CCONJ
ejpam-5729	312	16	ali	ali	PROPN
ejpam-5729	312	17	muhib	muhib	NOUN
ejpam-5729	312	18	.	.	PUNCT
ejpam-5729	313	1	some	some	DET
ejpam-5729	313	2	new	new	ADJ
ejpam-5729	313	3	oscillation	oscillation	NOUN
ejpam-5729	313	4	results	result	NOUN
ejpam-5729	313	5	for	for	ADP
ejpam-5729	313	6	fourth	fourth	ADJ
ejpam-5729	313	7	-	-	PUNCT
ejpam-5729	313	8	order	order	NOUN
ejpam-5729	313	9	neutral	neutral	ADJ
ejpam-5729	313	10	differential	differential	NOUN
ejpam-5729	313	11	equations	equation	NOUN
ejpam-5729	313	12	with	with	ADP
ejpam-5729	313	13	delay	delay	NOUN
ejpam-5729	313	14	argument	argument	NOUN
ejpam-5729	313	15	.	.	PUNCT
ejpam-5729	314	1	symmetry	symmetry	NOUN
ejpam-5729	314	2	,	,	PUNCT
ejpam-5729	314	3	12(8):1248	12(8):1248	NUM
ejpam-5729	314	4	,	,	PUNCT
ejpam-5729	314	5	july	july	PROPN
ejpam-5729	314	6	2020	2020	NUM
ejpam-5729	314	7	.	.	PUNCT
ejpam-5729	315	1	[	[	X
ejpam-5729	315	2	10	10	NUM
ejpam-5729	315	3	]	]	X
ejpam-5729	315	4	omar	omar	PROPN
ejpam-5729	315	5	bazighifan	bazighifan	PROPN
ejpam-5729	315	6	,	,	PUNCT
ejpam-5729	315	7	marianna	marianna	PROPN
ejpam-5729	315	8	ruggieri	ruggieri	PROPN
ejpam-5729	315	9	,	,	PUNCT
ejpam-5729	315	10	and	and	CCONJ
ejpam-5729	315	11	andrea	andrea	PROPN
ejpam-5729	315	12	scapellato	scapellato	PROPN
ejpam-5729	315	13	.	.	PUNCT
ejpam-5729	316	1	an	an	DET
ejpam-5729	316	2	improved	improved	ADJ
ejpam-5729	316	3	criterion	criterion	NOUN
ejpam-5729	316	4	for	for	ADP
ejpam-5729	316	5	the	the	DET
ejpam-5729	316	6	oscillation	oscillation	NOUN
ejpam-5729	316	7	of	of	ADP
ejpam-5729	316	8	fourth	fourth	ADJ
ejpam-5729	316	9	-	-	PUNCT
ejpam-5729	316	10	order	order	NOUN
ejpam-5729	316	11	differential	differential	ADJ
ejpam-5729	316	12	equations	equation	NOUN
ejpam-5729	316	13	.	.	PUNCT
ejpam-5729	317	1	mathematics	mathematic	NOUN
ejpam-5729	317	2	,	,	PUNCT
ejpam-5729	317	3	8(4):610	8(4):610	NUM
ejpam-5729	317	4	,	,	PUNCT
ejpam-5729	317	5	april	april	PROPN
ejpam-5729	317	6	2020	2020	NUM
ejpam-5729	317	7	.	.	PUNCT
ejpam-5729	318	1	[	[	X
ejpam-5729	318	2	11	11	NUM
ejpam-5729	318	3	]	]	X
ejpam-5729	318	4	martin	martin	PROPN
ejpam-5729	318	5	bohner	bohner	PROPN
ejpam-5729	318	6	,	,	PUNCT
ejpam-5729	318	7	said	say	VERB
ejpam-5729	318	8	r.	r.	PROPN
ejpam-5729	318	9	grace	grace	PROPN
ejpam-5729	318	10	,	,	PUNCT
ejpam-5729	318	11	and	and	CCONJ
ejpam-5729	318	12	irena	irena	PROPN
ejpam-5729	318	13	jadlovska	jadlovska	PROPN
ejpam-5729	318	14	.	.	PUNCT
ejpam-5729	319	1	sharp	sharp	ADJ
ejpam-5729	319	2	results	result	NOUN
ejpam-5729	319	3	for	for	ADP
ejpam-5729	319	4	oscillation	oscillation	NOUN
ejpam-5729	319	5	of	of	ADP
ejpam-5729	319	6	second	second	ADJ
ejpam-5729	319	7	-	-	PUNCT
ejpam-5729	319	8	order	order	NOUN
ejpam-5729	319	9	neutral	neutral	ADJ
ejpam-5729	319	10	delay	delay	NOUN
ejpam-5729	319	11	differential	differential	ADJ
ejpam-5729	319	12	equations	equation	NOUN
ejpam-5729	319	13	.	.	PUNCT
ejpam-5729	320	1	electronic	electronic	ADJ
ejpam-5729	320	2	journal	journal	NOUN
ejpam-5729	320	3	of	of	ADP
ejpam-5729	320	4	qualitative	qualitative	ADJ
ejpam-5729	320	5	theory	theory	NOUN
ejpam-5729	320	6	of	of	ADP
ejpam-5729	320	7	differential	differential	ADJ
ejpam-5729	320	8	equations	equation	NOUN
ejpam-5729	320	9	,	,	PUNCT
ejpam-5729	320	10	2023(4):1–23	2023(4):1–23	PROPN
ejpam-5729	320	11	,	,	PUNCT
ejpam-5729	320	12	january	january	PROPN
ejpam-5729	320	13	2023	2023	NUM
ejpam-5729	320	14	.	.	PUNCT
ejpam-5729	321	1	[	[	X
ejpam-5729	321	2	12	12	NUM
ejpam-5729	321	3	]	]	PUNCT
ejpam-5729	321	4	m.	m.	NOUN
ejpam-5729	321	5	braun	braun	NOUN
ejpam-5729	321	6	.	.	PUNCT
ejpam-5729	321	7	differential	differential	ADJ
ejpam-5729	321	8	equations	equation	NOUN
ejpam-5729	321	9	and	and	CCONJ
ejpam-5729	321	10	their	their	PRON
ejpam-5729	321	11	applications	application	NOUN
ejpam-5729	321	12	:	:	PUNCT
ejpam-5729	321	13	an	an	DET
ejpam-5729	321	14	introduction	introduction	NOUN
ejpam-5729	321	15	to	to	ADP
ejpam-5729	321	16	applied	apply	VERB
ejpam-5729	321	17	mathematics	mathematic	NOUN
ejpam-5729	321	18	.	.	PUNCT
ejpam-5729	322	1	springer	springer	NOUN
ejpam-5729	322	2	science	science	PROPN
ejpam-5729	322	3	&	&	CCONJ
ejpam-5729	322	4	business	business	NOUN
ejpam-5729	322	5	media	medium	NOUN
ejpam-5729	322	6	,	,	PUNCT
ejpam-5729	322	7	june	june	PROPN
ejpam-5729	322	8	2013	2013	NUM
ejpam-5729	322	9	.	.	PUNCT
ejpam-5729	323	1	[	[	X
ejpam-5729	323	2	13	13	NUM
ejpam-5729	323	3	]	]	X
ejpam-5729	323	4	cv	cv	PROPN
ejpam-5729	323	5	coffman	coffman	PROPN
ejpam-5729	323	6	and	and	CCONJ
ejpam-5729	323	7	jsw	jsw	PROPN
ejpam-5729	323	8	wong	wong	PROPN
ejpam-5729	323	9	.	.	PUNCT
ejpam-5729	324	1	oscillation	oscillation	NOUN
ejpam-5729	324	2	and	and	CCONJ
ejpam-5729	324	3	nonoscillation	nonoscillation	NOUN
ejpam-5729	324	4	theorems	theorem	NOUN
ejpam-5729	324	5	for	for	ADP
ejpam-5729	324	6	second	second	ADJ
ejpam-5729	324	7	order	order	NOUN
ejpam-5729	324	8	.	.	PUNCT
ejpam-5729	325	1	funkcialaj	funkcialaj	PROPN
ejpam-5729	325	2	ekvacioj	ekvacioj	PROPN
ejpam-5729	325	3	,	,	PUNCT
ejpam-5729	325	4	15:119–130	15:119–130	NUM
ejpam-5729	325	5	,	,	PUNCT
ejpam-5729	325	6	1972	1972	NUM
ejpam-5729	325	7	.	.	PUNCT
ejpam-5729	326	1	[	[	X
ejpam-5729	326	2	14	14	NUM
ejpam-5729	326	3	]	]	PUNCT
ejpam-5729	326	4	elmetwally	elmetwally	ADV
ejpam-5729	326	5	m.	m.	NOUN
ejpam-5729	326	6	elabbasy	elabbasy	PROPN
ejpam-5729	326	7	,	,	PUNCT
ejpam-5729	326	8	amany	amany	NOUN
ejpam-5729	326	9	nabih	nabih	ADJ
ejpam-5729	326	10	,	,	PUNCT
ejpam-5729	326	11	taher	taher	ADJ
ejpam-5729	326	12	a.	a.	NOUN
ejpam-5729	326	13	nofal	nofal	PROPN
ejpam-5729	326	14	,	,	PUNCT
ejpam-5729	326	15	wedad	wedad	PROPN
ejpam-5729	326	16	r.	r.	PROPN
ejpam-5729	326	17	alharbi	alharbi	PROPN
ejpam-5729	326	18	,	,	PUNCT
ejpam-5729	326	19	and	and	CCONJ
ejpam-5729	326	20	osama	osama	PROPN
ejpam-5729	326	21	moaaz	moaaz	NOUN
ejpam-5729	326	22	.	.	PUNCT
ejpam-5729	327	1	neutral	neutral	ADJ
ejpam-5729	327	2	differential	differential	ADJ
ejpam-5729	327	3	equations	equation	NOUN
ejpam-5729	327	4	with	with	ADP
ejpam-5729	327	5	noncanonical	noncanonical	ADJ
ejpam-5729	327	6	operator	operator	NOUN
ejpam-5729	327	7	:	:	PUNCT
ejpam-5729	327	8	oscillation	oscillation	NOUN
ejpam-5729	327	9	behavior	behavior	NOUN
ejpam-5729	327	10	of	of	ADP
ejpam-5729	327	11	solutions	solution	NOUN
ejpam-5729	327	12	.	.	PUNCT
ejpam-5729	328	1	aims	aim	VERB
ejpam-5729	328	2	mathematics	mathematic	NOUN
ejpam-5729	328	3	,	,	PUNCT
ejpam-5729	328	4	6(4):3272–3287	6(4):3272–3287	NUM
ejpam-5729	328	5	,	,	PUNCT
ejpam-5729	328	6	january	january	PROPN
ejpam-5729	328	7	2021	2021	NUM
ejpam-5729	328	8	.	.	PUNCT
ejpam-5729	329	1	[	[	X
ejpam-5729	329	2	15	15	NUM
ejpam-5729	329	3	]	]	X
ejpam-5729	329	4	l.	l.	PROPN
ejpam-5729	329	5	h.	h.	PROPN
ejpam-5729	329	6	erbe	erbe	PROPN
ejpam-5729	329	7	,	,	PUNCT
ejpam-5729	329	8	qingkai	qingkai	PROPN
ejpam-5729	329	9	kong	kong	PROPN
ejpam-5729	329	10	,	,	PUNCT
ejpam-5729	329	11	and	and	CCONJ
ejpam-5729	329	12	b.	b.	PROPN
ejpam-5729	329	13	g.	g.	PROPN
ejpam-5729	329	14	zhang	zhang	PROPN
ejpam-5729	329	15	.	.	PUNCT
ejpam-5729	330	1	oscillation	oscillation	NOUN
ejpam-5729	330	2	theory	theory	NOUN
ejpam-5729	330	3	for	for	ADP
ejpam-5729	330	4	functional	functional	ADJ
ejpam-5729	330	5	w.	w.	PROPN
ejpam-5729	330	6	muhsin	muhsin	PROPN
ejpam-5729	330	7	et	et	PROPN
ejpam-5729	330	8	al	al	PROPN
ejpam-5729	330	9	.	.	PUNCT
ejpam-5729	330	10	/	/	SYM
ejpam-5729	330	11	eur	eur	PROPN
ejpam-5729	330	12	.	.	PUNCT
ejpam-5729	331	1	j.	j.	PROPN
ejpam-5729	331	2	pure	pure	PROPN
ejpam-5729	331	3	appl	appl	PROPN
ejpam-5729	331	4	.	.	PROPN
ejpam-5729	331	5	math	math	PROPN
ejpam-5729	331	6	,	,	PUNCT
ejpam-5729	331	7	18	18	NUM
ejpam-5729	331	8	(	(	PUNCT
ejpam-5729	331	9	1	1	NUM
ejpam-5729	331	10	)	)	PUNCT
ejpam-5729	331	11	(	(	PUNCT
ejpam-5729	331	12	2025	2025	NUM
ejpam-5729	331	13	)	)	PUNCT
ejpam-5729	331	14	,	,	PUNCT
ejpam-5729	331	15	5729	5729	NUM
ejpam-5729	331	16	15	15	NUM
ejpam-5729	331	17	of	of	ADP
ejpam-5729	331	18	17	17	NUM
ejpam-5729	331	19	differential	differential	ADJ
ejpam-5729	331	20	equations	equation	NOUN
ejpam-5729	331	21	.	.	PUNCT
ejpam-5729	332	1	routledge	routledge	PROPN
ejpam-5729	332	2	ebooks	ebooks	PROPN
ejpam-5729	332	3	,	,	PUNCT
ejpam-5729	332	4	october	october	PROPN
ejpam-5729	332	5	2017	2017	NUM
ejpam-5729	332	6	.	.	PUNCT
ejpam-5729	333	1	[	[	X
ejpam-5729	333	2	16	16	NUM
ejpam-5729	333	3	]	]	X
ejpam-5729	333	4	william	william	PROPN
ejpam-5729	333	5	benjamin	benjamin	PROPN
ejpam-5729	333	6	fite	fite	PROPN
ejpam-5729	333	7	.	.	PUNCT
ejpam-5729	334	1	concerning	concern	VERB
ejpam-5729	334	2	the	the	DET
ejpam-5729	334	3	zeros	zero	NOUN
ejpam-5729	334	4	of	of	ADP
ejpam-5729	334	5	the	the	DET
ejpam-5729	334	6	solutions	solution	NOUN
ejpam-5729	334	7	of	of	ADP
ejpam-5729	334	8	certain	certain	ADJ
ejpam-5729	334	9	differential	differential	ADJ
ejpam-5729	334	10	equations	equation	NOUN
ejpam-5729	334	11	.	.	PUNCT
ejpam-5729	335	1	transactions	transaction	NOUN
ejpam-5729	335	2	of	of	ADP
ejpam-5729	335	3	the	the	DET
ejpam-5729	335	4	american	american	PROPN
ejpam-5729	335	5	mathematical	mathematical	PROPN
ejpam-5729	335	6	society	society	NOUN
ejpam-5729	335	7	,	,	PUNCT
ejpam-5729	335	8	19(4):341–352	19(4):341–352	PROPN
ejpam-5729	335	9	,	,	PUNCT
ejpam-5729	335	10	january	january	PROPN
ejpam-5729	335	11	1918	1918	NUM
ejpam-5729	335	12	.	.	PUNCT
ejpam-5729	336	1	[	[	X
ejpam-5729	336	2	17	17	NUM
ejpam-5729	336	3	]	]	PUNCT
ejpam-5729	336	4	said	say	VERB
ejpam-5729	336	5	r.	r.	PROPN
ejpam-5729	336	6	grace	grace	PROPN
ejpam-5729	336	7	,	,	PUNCT
ejpam-5729	336	8	jozef	jozef	PROPN
ejpam-5729	336	9	džurina	džurina	PROPN
ejpam-5729	336	10	,	,	PUNCT
ejpam-5729	336	11	irena	irena	PROPN
ejpam-5729	336	12	jadlovska	jadlovska	PROPN
ejpam-5729	336	13	,	,	PUNCT
ejpam-5729	336	14	and	and	CCONJ
ejpam-5729	336	15	tongxing	tongxe	VERB
ejpam-5729	336	16	li	li	NOUN
ejpam-5729	336	17	.	.	PROPN
ejpam-5729	337	1	on	on	ADP
ejpam-5729	337	2	the	the	DET
ejpam-5729	337	3	oscillation	oscillation	NOUN
ejpam-5729	337	4	of	of	ADP
ejpam-5729	337	5	fourth	fourth	ADJ
ejpam-5729	337	6	-	-	PUNCT
ejpam-5729	337	7	order	order	NOUN
ejpam-5729	337	8	delay	delay	NOUN
ejpam-5729	337	9	differential	differential	ADJ
ejpam-5729	337	10	equations	equation	NOUN
ejpam-5729	337	11	.	.	PUNCT
ejpam-5729	338	1	advances	advance	NOUN
ejpam-5729	338	2	in	in	ADP
ejpam-5729	338	3	difference	difference	NOUN
ejpam-5729	338	4	equations	equation	NOUN
ejpam-5729	338	5	,	,	PUNCT
ejpam-5729	338	6	2019(1	2019(1	NUM
ejpam-5729	338	7	)	)	PUNCT
ejpam-5729	338	8	,	,	PUNCT
ejpam-5729	338	9	march	march	PROPN
ejpam-5729	338	10	2019	2019	NUM
ejpam-5729	338	11	.	.	PUNCT
ejpam-5729	339	1	[	[	X
ejpam-5729	339	2	18	18	NUM
ejpam-5729	339	3	]	]	PUNCT
ejpam-5729	339	4	jack	jack	PROPN
ejpam-5729	339	5	k	k	PROPN
ejpam-5729	339	6	hale	hale	PROPN
ejpam-5729	339	7	and	and	CCONJ
ejpam-5729	339	8	sjoerd	sjoerd	PROPN
ejpam-5729	339	9	m	m	PROPN
ejpam-5729	339	10	verduyn	verduyn	PROPN
ejpam-5729	339	11	lunel	lunel	PROPN
ejpam-5729	339	12	.	.	PUNCT
ejpam-5729	340	1	introduction	introduction	NOUN
ejpam-5729	340	2	to	to	ADP
ejpam-5729	340	3	functional	functional	ADJ
ejpam-5729	340	4	differential	differential	NOUN
ejpam-5729	340	5	equations	equation	NOUN
ejpam-5729	340	6	,	,	PUNCT
ejpam-5729	340	7	volume	volume	NOUN
ejpam-5729	340	8	99	99	NUM
ejpam-5729	340	9	.	.	PUNCT
ejpam-5729	341	1	springer	springer	PROPN
ejpam-5729	341	2	science	science	PROPN
ejpam-5729	341	3	&	&	CCONJ
ejpam-5729	341	4	business	business	NOUN
ejpam-5729	341	5	media	medium	NOUN
ejpam-5729	341	6	,	,	PUNCT
ejpam-5729	341	7	2013	2013	NUM
ejpam-5729	341	8	.	.	PUNCT
ejpam-5729	342	1	[	[	X
ejpam-5729	342	2	19	19	NUM
ejpam-5729	342	3	]	]	X
ejpam-5729	342	4	muhammad	muhammad	PROPN
ejpam-5729	342	5	hamid	hamid	PROPN
ejpam-5729	342	6	,	,	PUNCT
ejpam-5729	342	7	muhammad	muhammad	PROPN
ejpam-5729	342	8	usman	usman	PROPN
ejpam-5729	342	9	,	,	PUNCT
ejpam-5729	342	10	rizwan	rizwan	PROPN
ejpam-5729	342	11	ul	ul	PROPN
ejpam-5729	342	12	haq	haq	PROPN
ejpam-5729	342	13	,	,	PUNCT
ejpam-5729	342	14	and	and	CCONJ
ejpam-5729	342	15	zhenfu	zhenfu	PROPN
ejpam-5729	342	16	tian	tian	PROPN
ejpam-5729	342	17	.	.	PUNCT
ejpam-5729	343	1	a	a	DET
ejpam-5729	343	2	spectral	spectral	ADJ
ejpam-5729	343	3	approach	approach	NOUN
ejpam-5729	343	4	to	to	PART
ejpam-5729	343	5	analyze	analyze	VERB
ejpam-5729	343	6	the	the	DET
ejpam-5729	343	7	nonlinear	nonlinear	ADJ
ejpam-5729	343	8	oscillatory	oscillatory	ADJ
ejpam-5729	343	9	fractional	fractional	ADJ
ejpam-5729	343	10	-	-	PUNCT
ejpam-5729	343	11	order	order	NOUN
ejpam-5729	343	12	differential	differential	ADJ
ejpam-5729	343	13	equations	equation	NOUN
ejpam-5729	343	14	.	.	PUNCT
ejpam-5729	344	1	chaos	chaos	NOUN
ejpam-5729	344	2	solitons	soliton	NOUN
ejpam-5729	344	3	&	&	CCONJ
ejpam-5729	344	4	fractals	fractal	NOUN
ejpam-5729	344	5	,	,	PUNCT
ejpam-5729	344	6	146:110921	146:110921	NUM
ejpam-5729	344	7	,	,	PUNCT
ejpam-5729	344	8	april	april	PROPN
ejpam-5729	344	9	2021	2021	NUM
ejpam-5729	344	10	.	.	PUNCT
ejpam-5729	345	1	[	[	X
ejpam-5729	345	2	20	20	NUM
ejpam-5729	345	3	]	]	X
ejpam-5729	345	4	mustafa	mustafa	PROPN
ejpam-5729	345	5	hasanbulli	hasanbulli	PROPN
ejpam-5729	345	6	and	and	CCONJ
ejpam-5729	345	7	yuri	yuri	PROPN
ejpam-5729	345	8	v.	v.	PROPN
ejpam-5729	345	9	rogovchenko	rogovchenko	PROPN
ejpam-5729	345	10	.	.	PUNCT
ejpam-5729	346	1	oscillation	oscillation	NOUN
ejpam-5729	346	2	criteria	criterion	NOUN
ejpam-5729	346	3	for	for	ADP
ejpam-5729	346	4	second	second	ADJ
ejpam-5729	346	5	order	order	NOUN
ejpam-5729	346	6	nonlinear	nonlinear	ADJ
ejpam-5729	346	7	neutral	neutral	ADJ
ejpam-5729	346	8	differential	differential	NOUN
ejpam-5729	346	9	equations	equation	NOUN
ejpam-5729	346	10	.	.	PUNCT
ejpam-5729	347	1	applied	apply	VERB
ejpam-5729	347	2	mathematics	mathematic	NOUN
ejpam-5729	347	3	and	and	CCONJ
ejpam-5729	347	4	computation	computation	NOUN
ejpam-5729	347	5	,	,	PUNCT
ejpam-5729	347	6	215(12):4392–4399	215(12):4392–4399	NUM
ejpam-5729	347	7	,	,	PUNCT
ejpam-5729	347	8	january	january	PROPN
ejpam-5729	347	9	2010	2010	NUM
ejpam-5729	347	10	.	.	PUNCT
ejpam-5729	348	1	[	[	X
ejpam-5729	348	2	21	21	NUM
ejpam-5729	348	3	]	]	X
ejpam-5729	348	4	ahmed	ahmed	PROPN
ejpam-5729	348	5	m.	m.	PROPN
ejpam-5729	348	6	hassan	hassan	PROPN
ejpam-5729	348	7	,	,	PUNCT
ejpam-5729	348	8	osama	osama	PROPN
ejpam-5729	348	9	moaaz	moaaz	NOUN
ejpam-5729	348	10	,	,	PUNCT
ejpam-5729	348	11	sameh	sameh	NOUN
ejpam-5729	348	12	s.	s.	PROPN
ejpam-5729	348	13	askar	askar	PROPN
ejpam-5729	348	14	,	,	PUNCT
ejpam-5729	348	15	ahmad	ahmad	PROPN
ejpam-5729	348	16	m.	m.	NOUN
ejpam-5729	348	17	alshamrani	alshamrani	PROPN
ejpam-5729	348	18	,	,	PUNCT
ejpam-5729	348	19	and	and	CCONJ
ejpam-5729	348	20	samy	samy	PROPN
ejpam-5729	348	21	e.	e.	PROPN
ejpam-5729	348	22	affan	affan	PROPN
ejpam-5729	348	23	.	.	PUNCT
ejpam-5729	349	1	enhanced	enhance	VERB
ejpam-5729	349	2	oscillation	oscillation	NOUN
ejpam-5729	349	3	criteria	criterion	NOUN
ejpam-5729	349	4	for	for	ADP
ejpam-5729	349	5	non	non	ADJ
ejpam-5729	349	6	-	-	ADJ
ejpam-5729	349	7	canonical	canonical	ADJ
ejpam-5729	349	8	second	second	ADJ
ejpam-5729	349	9	-	-	PUNCT
ejpam-5729	349	10	order	order	NOUN
ejpam-5729	349	11	advanced	advanced	ADJ
ejpam-5729	349	12	dynamic	dynamic	ADJ
ejpam-5729	349	13	equations	equation	NOUN
ejpam-5729	349	14	on	on	ADP
ejpam-5729	349	15	time	time	NOUN
ejpam-5729	349	16	scales	scale	NOUN
ejpam-5729	349	17	.	.	PUNCT
ejpam-5729	350	1	symmetry	symmetry	NOUN
ejpam-5729	350	2	,	,	PUNCT
ejpam-5729	350	3	16(11):1457	16(11):1457	NUM
ejpam-5729	350	4	,	,	PUNCT
ejpam-5729	350	5	november	november	PROPN
ejpam-5729	350	6	2024	2024	NUM
ejpam-5729	350	7	.	.	PUNCT
ejpam-5729	351	1	[	[	X
ejpam-5729	351	2	22	22	NUM
ejpam-5729	351	3	]	]	PUNCT
ejpam-5729	351	4	taher	taher	PROPN
ejpam-5729	351	5	s.	s.	PROPN
ejpam-5729	351	6	hassan	hassan	PROPN
ejpam-5729	351	7	,	,	PUNCT
ejpam-5729	351	8	rami	rami	PROPN
ejpam-5729	351	9	ahmad	ahmad	PROPN
ejpam-5729	351	10	el	el	PROPN
ejpam-5729	351	11	-	-	PUNCT
ejpam-5729	351	12	nabulsi	nabulsi	PROPN
ejpam-5729	351	13	,	,	PUNCT
ejpam-5729	351	14	naveed	naveed	PROPN
ejpam-5729	351	15	iqbal	iqbal	PROPN
ejpam-5729	351	16	,	,	PUNCT
ejpam-5729	351	17	and	and	CCONJ
ejpam-5729	351	18	amir	amir	PROPN
ejpam-5729	351	19	abdel	abdel	PROPN
ejpam-5729	351	20	menaem	menaem	PROPN
ejpam-5729	351	21	.	.	PUNCT
ejpam-5729	352	1	new	new	ADJ
ejpam-5729	352	2	criteria	criterion	NOUN
ejpam-5729	352	3	for	for	ADP
ejpam-5729	352	4	oscillation	oscillation	NOUN
ejpam-5729	352	5	of	of	ADP
ejpam-5729	352	6	advanced	advanced	ADJ
ejpam-5729	352	7	noncanonical	noncanonical	ADJ
ejpam-5729	352	8	nonlinear	nonlinear	ADJ
ejpam-5729	352	9	dynamic	dynamic	ADJ
ejpam-5729	352	10	equations	equation	NOUN
ejpam-5729	352	11	.	.	PUNCT
ejpam-5729	353	1	mathematics	mathematic	NOUN
ejpam-5729	353	2	,	,	PUNCT
ejpam-5729	353	3	12(6):824	12(6):824	NUM
ejpam-5729	353	4	,	,	PUNCT
ejpam-5729	353	5	march	march	PROPN
ejpam-5729	353	6	2024	2024	NUM
ejpam-5729	353	7	.	.	PUNCT
ejpam-5729	354	1	[	[	X
ejpam-5729	354	2	23	23	NUM
ejpam-5729	354	3	]	]	X
ejpam-5729	354	4	irena	irena	PROPN
ejpam-5729	354	5	jadlovska	jadlovska	PROPN
ejpam-5729	354	6	.	.	PUNCT
ejpam-5729	355	1	new	new	ADJ
ejpam-5729	355	2	criteria	criterion	NOUN
ejpam-5729	355	3	for	for	ADP
ejpam-5729	355	4	sharp	sharp	ADJ
ejpam-5729	355	5	oscillation	oscillation	NOUN
ejpam-5729	355	6	of	of	ADP
ejpam-5729	355	7	second	second	ADJ
ejpam-5729	355	8	-	-	PUNCT
ejpam-5729	355	9	order	order	NOUN
ejpam-5729	355	10	neutral	neutral	ADJ
ejpam-5729	355	11	delay	delay	NOUN
ejpam-5729	355	12	differential	differential	ADJ
ejpam-5729	355	13	equations	equation	NOUN
ejpam-5729	355	14	.	.	PUNCT
ejpam-5729	356	1	mathematics	mathematic	NOUN
ejpam-5729	356	2	,	,	PUNCT
ejpam-5729	356	3	9(17):2089	9(17):2089	NOUN
ejpam-5729	356	4	,	,	PUNCT
ejpam-5729	356	5	august	august	PROPN
ejpam-5729	356	6	2021	2021	NUM
ejpam-5729	356	7	.	.	PUNCT
ejpam-5729	357	1	[	[	X
ejpam-5729	357	2	24	24	NUM
ejpam-5729	357	3	]	]	X
ejpam-5729	357	4	irena	irena	PROPN
ejpam-5729	357	5	jadlovska	jadlovska	PROPN
ejpam-5729	357	6	,	,	PUNCT
ejpam-5729	357	7	jozef	jozef	PROPN
ejpam-5729	357	8	džurina	džurina	PROPN
ejpam-5729	357	9	,	,	PUNCT
ejpam-5729	357	10	john	john	PROPN
ejpam-5729	357	11	r.	r.	PROPN
ejpam-5729	357	12	graef	graef	PROPN
ejpam-5729	357	13	,	,	PUNCT
ejpam-5729	357	14	and	and	CCONJ
ejpam-5729	357	15	said	say	VERB
ejpam-5729	357	16	r.	r.	PROPN
ejpam-5729	357	17	grace	grace	PROPN
ejpam-5729	357	18	.	.	PUNCT
ejpam-5729	358	1	sharp	sharp	ADJ
ejpam-5729	358	2	oscillation	oscillation	NOUN
ejpam-5729	358	3	theorem	theorem	NOUN
ejpam-5729	358	4	for	for	ADP
ejpam-5729	358	5	fourth	fourth	ADJ
ejpam-5729	358	6	-	-	PUNCT
ejpam-5729	358	7	order	order	NOUN
ejpam-5729	358	8	linear	linear	ADJ
ejpam-5729	358	9	delay	delay	NOUN
ejpam-5729	358	10	differential	differential	ADJ
ejpam-5729	358	11	equations	equation	NOUN
ejpam-5729	358	12	.	.	PUNCT
ejpam-5729	359	1	journal	journal	PROPN
ejpam-5729	359	2	of	of	ADP
ejpam-5729	359	3	inequalities	inequality	NOUN
ejpam-5729	359	4	and	and	CCONJ
ejpam-5729	359	5	applications	application	NOUN
ejpam-5729	359	6	,	,	PUNCT
ejpam-5729	359	7	2022(1	2022(1	NUM
ejpam-5729	359	8	)	)	PUNCT
ejpam-5729	359	9	,	,	PUNCT
ejpam-5729	359	10	september	september	PROPN
ejpam-5729	359	11	2022	2022	NUM
ejpam-5729	359	12	.	.	PUNCT
ejpam-5729	360	1	[	[	X
ejpam-5729	360	2	25	25	NUM
ejpam-5729	360	3	]	]	PUNCT
ejpam-5729	360	4	takaŝi	takaŝi	NUM
ejpam-5729	360	5	kusano	kusano	PROPN
ejpam-5729	360	6	and	and	CCONJ
ejpam-5729	360	7	manabu	manabu	NOUN
ejpam-5729	360	8	naito	naito	PROPN
ejpam-5729	360	9	.	.	PROPN
ejpam-5729	360	10	nonlinear	nonlinear	ADJ
ejpam-5729	360	11	oscillation	oscillation	NOUN
ejpam-5729	360	12	of	of	ADP
ejpam-5729	360	13	fourth	fourth	ADJ
ejpam-5729	360	14	order	order	NOUN
ejpam-5729	360	15	differential	differential	ADJ
ejpam-5729	360	16	equations	equation	NOUN
ejpam-5729	360	17	.	.	PUNCT
ejpam-5729	361	1	canadian	canadian	ADJ
ejpam-5729	361	2	journal	journal	PROPN
ejpam-5729	361	3	of	of	ADP
ejpam-5729	361	4	mathematics	mathematic	NOUN
ejpam-5729	361	5	,	,	PUNCT
ejpam-5729	361	6	28(4):840–852	28(4):840–852	PROPN
ejpam-5729	361	7	,	,	PUNCT
ejpam-5729	361	8	august	august	PROPN
ejpam-5729	361	9	1976	1976	NUM
ejpam-5729	361	10	.	.	PUNCT
ejpam-5729	362	1	[	[	X
ejpam-5729	362	2	26	26	NUM
ejpam-5729	362	3	]	]	X
ejpam-5729	362	4	g.	g.	PROPN
ejpam-5729	362	5	ladas	ladas	PROPN
ejpam-5729	362	6	,	,	PUNCT
ejpam-5729	362	7	v.	v.	ADP
ejpam-5729	362	8	lakshmikantham	lakshmikantham	NOUN
ejpam-5729	362	9	,	,	PUNCT
ejpam-5729	362	10	and	and	CCONJ
ejpam-5729	362	11	j.s	j.s	PROPN
ejpam-5729	362	12	.	.	PROPN
ejpam-5729	362	13	papadakis	papadakis	PROPN
ejpam-5729	362	14	.	.	PUNCT
ejpam-5729	363	1	oscillations	oscillation	NOUN
ejpam-5729	363	2	of	of	ADP
ejpam-5729	363	3	higher	high	ADJ
ejpam-5729	363	4	-	-	PUNCT
ejpam-5729	363	5	order	order	NOUN
ejpam-5729	363	6	retarded	retarded	ADJ
ejpam-5729	363	7	differential	differential	ADJ
ejpam-5729	363	8	equations	equation	NOUN
ejpam-5729	363	9	generated	generate	VERB
ejpam-5729	363	10	by	by	ADP
ejpam-5729	363	11	the	the	DET
ejpam-5729	363	12	retarded	retarded	ADJ
ejpam-5729	363	13	argument	argument	NOUN
ejpam-5729	363	14	,	,	PUNCT
ejpam-5729	363	15	pages	page	VERB
ejpam-5729	363	16	219–231	219–231	NUM
ejpam-5729	363	17	.	.	PUNCT
ejpam-5729	364	1	elsevier	elsevier	PROPN
ejpam-5729	364	2	ebooks	ebooks	PROPN
ejpam-5729	364	3	,	,	PUNCT
ejpam-5729	364	4	january	january	PROPN
ejpam-5729	364	5	1972	1972	NUM
ejpam-5729	364	6	.	.	PUNCT
ejpam-5729	365	1	[	[	X
ejpam-5729	365	2	27	27	NUM
ejpam-5729	365	3	]	]	X
ejpam-5729	365	4	gangaram	gangaram	PROPN
ejpam-5729	365	5	s	s	PART
ejpam-5729	365	6	ladde	ladde	NOUN
ejpam-5729	365	7	,	,	PUNCT
ejpam-5729	365	8	vangipuram	vangipuram	PROPN
ejpam-5729	365	9	lakshmikantham	lakshmikantham	NOUN
ejpam-5729	365	10	,	,	PUNCT
ejpam-5729	365	11	and	and	CCONJ
ejpam-5729	365	12	bing	bing	NOUN
ejpam-5729	365	13	-	-	PUNCT
ejpam-5729	365	14	gen	gen	PROPN
ejpam-5729	365	15	zhang	zhang	PROPN
ejpam-5729	365	16	.	.	PUNCT
ejpam-5729	366	1	oscillation	oscillation	PROPN
ejpam-5729	366	2	theory	theory	NOUN
ejpam-5729	366	3	of	of	ADP
ejpam-5729	366	4	differential	differential	ADJ
ejpam-5729	366	5	equations	equation	NOUN
ejpam-5729	366	6	with	with	ADP
ejpam-5729	366	7	deviating	deviate	VERB
ejpam-5729	366	8	arguments	argument	NOUN
ejpam-5729	366	9	.	.	PUNCT
ejpam-5729	367	1	m.	m.	NOUN
ejpam-5729	367	2	dekker	dekker	PROPN
ejpam-5729	367	3	new	new	PROPN
ejpam-5729	367	4	york	york	PROPN
ejpam-5729	367	5	,	,	PUNCT
ejpam-5729	367	6	ny	ny	PROPN
ejpam-5729	367	7	,	,	PUNCT
ejpam-5729	367	8	usa	usa	PROPN
ejpam-5729	367	9	,	,	PUNCT
ejpam-5729	367	10	1987	1987	NUM
ejpam-5729	367	11	.	.	PUNCT
ejpam-5729	368	1	[	[	X
ejpam-5729	368	2	28	28	NUM
ejpam-5729	368	3	]	]	X
ejpam-5729	368	4	tongxing	tongxe	VERB
ejpam-5729	368	5	li	li	PROPN
ejpam-5729	368	6	and	and	CCONJ
ejpam-5729	368	7	yuriy	yuriy	PROPN
ejpam-5729	368	8	v.	v.	PROPN
ejpam-5729	368	9	rogovchenko	rogovchenko	PROPN
ejpam-5729	368	10	.	.	PUNCT
ejpam-5729	369	1	oscillation	oscillation	NOUN
ejpam-5729	369	2	criteria	criterion	NOUN
ejpam-5729	369	3	for	for	ADP
ejpam-5729	369	4	even	even	ADV
ejpam-5729	369	5	-	-	PUNCT
ejpam-5729	369	6	order	order	NOUN
ejpam-5729	369	7	neutral	neutral	ADJ
ejpam-5729	369	8	differential	differential	NOUN
ejpam-5729	369	9	equations	equation	NOUN
ejpam-5729	369	10	.	.	PUNCT
ejpam-5729	370	1	applied	apply	VERB
ejpam-5729	370	2	mathematics	mathematics	NOUN
ejpam-5729	370	3	letters	letter	NOUN
ejpam-5729	370	4	,	,	PUNCT
ejpam-5729	370	5	61:35–41	61:35–41	NUM
ejpam-5729	370	6	,	,	PUNCT
ejpam-5729	370	7	may	may	PROPN
ejpam-5729	370	8	2016	2016	NUM
ejpam-5729	370	9	.	.	PUNCT
ejpam-5729	371	1	[	[	X
ejpam-5729	371	2	29	29	NUM
ejpam-5729	371	3	]	]	X
ejpam-5729	371	4	fahd	fahd	PROPN
ejpam-5729	371	5	masood	masood	PROPN
ejpam-5729	371	6	,	,	PUNCT
ejpam-5729	371	7	osama	osama	PROPN
ejpam-5729	371	8	moaaz	moaaz	PROPN
ejpam-5729	371	9	,	,	PUNCT
ejpam-5729	371	10	shyam	shyam	PROPN
ejpam-5729	371	11	sundar	sundar	PROPN
ejpam-5729	371	12	santra	santra	PROPN
ejpam-5729	371	13	,	,	PUNCT
ejpam-5729	371	14	u.	u.	PROPN
ejpam-5729	371	15	fernandez	fernandez	PROPN
ejpam-5729	371	16	-	-	PUNCT
ejpam-5729	371	17	gamiz	gamiz	NOUN
ejpam-5729	371	18	,	,	PUNCT
ejpam-5729	371	19	and	and	CCONJ
ejpam-5729	371	20	hamdy	hamdy	PROPN
ejpam-5729	371	21	a.	a.	PROPN
ejpam-5729	371	22	el	el	PROPN
ejpam-5729	371	23	-	-	PROPN
ejpam-5729	371	24	metwally	metwally	ADV
ejpam-5729	371	25	.	.	PUNCT
ejpam-5729	372	1	oscillation	oscillation	NOUN
ejpam-5729	372	2	theorems	theorem	NOUN
ejpam-5729	372	3	for	for	ADP
ejpam-5729	372	4	fourth	fourth	ADJ
ejpam-5729	372	5	-	-	PUNCT
ejpam-5729	372	6	order	order	NOUN
ejpam-5729	372	7	quasi	quasi	ADJ
ejpam-5729	372	8	-	-	ADJ
ejpam-5729	372	9	linear	linear	ADJ
ejpam-5729	372	10	delay	delay	NOUN
ejpam-5729	372	11	differential	differential	ADJ
ejpam-5729	372	12	equations	equation	NOUN
ejpam-5729	372	13	.	.	PUNCT
ejpam-5729	373	1	aims	aim	VERB
ejpam-5729	373	2	mathematics	mathematic	NOUN
ejpam-5729	373	3	,	,	PUNCT
ejpam-5729	373	4	8(7):16291–16307	8(7):16291–16307	NUM
ejpam-5729	373	5	,	,	PUNCT
ejpam-5729	373	6	january	january	PROPN
ejpam-5729	373	7	2023	2023	NUM
ejpam-5729	373	8	.	.	PUNCT
ejpam-5729	374	1	[	[	X
ejpam-5729	374	2	30	30	NUM
ejpam-5729	374	3	]	]	X
ejpam-5729	374	4	osama	osama	NOUN
ejpam-5729	374	5	moaaz	moaaz	NOUN
ejpam-5729	374	6	and	and	CCONJ
ejpam-5729	374	7	wedad	wedad	PROPN
ejpam-5729	374	8	albalawi	albalawi	PROPN
ejpam-5729	374	9	.	.	PUNCT
ejpam-5729	375	1	differential	differential	ADJ
ejpam-5729	375	2	equations	equation	NOUN
ejpam-5729	375	3	of	of	ADP
ejpam-5729	375	4	the	the	DET
ejpam-5729	375	5	neutral	neutral	ADJ
ejpam-5729	375	6	delay	delay	NOUN
ejpam-5729	375	7	type	type	NOUN
ejpam-5729	375	8	:	:	PUNCT
ejpam-5729	375	9	more	more	ADV
ejpam-5729	375	10	efficient	efficient	ADJ
ejpam-5729	375	11	conditions	condition	NOUN
ejpam-5729	375	12	for	for	ADP
ejpam-5729	375	13	oscillation	oscillation	NOUN
ejpam-5729	375	14	.	.	PUNCT
ejpam-5729	376	1	aims	aim	VERB
ejpam-5729	376	2	mathematics	mathematic	NOUN
ejpam-5729	376	3	,	,	PUNCT
ejpam-5729	376	4	8(6):12729–12750	8(6):12729–12750	NUM
ejpam-5729	376	5	,	,	PUNCT
ejpam-5729	376	6	january	january	PROPN
ejpam-5729	376	7	2023	2023	NUM
ejpam-5729	376	8	.	.	PUNCT
ejpam-5729	377	1	[	[	X
ejpam-5729	377	2	31	31	NUM
ejpam-5729	377	3	]	]	X
ejpam-5729	377	4	osama	osama	PROPN
ejpam-5729	377	5	moaaz	moaaz	PROPN
ejpam-5729	377	6	,	,	PUNCT
ejpam-5729	377	7	clemente	clemente	PROPN
ejpam-5729	377	8	cesarano	cesarano	PROPN
ejpam-5729	377	9	,	,	PUNCT
ejpam-5729	377	10	and	and	CCONJ
ejpam-5729	377	11	barakah	barakah	VERB
ejpam-5729	377	12	almarri	almarri	NOUN
ejpam-5729	377	13	.	.	PUNCT
ejpam-5729	378	1	an	an	DET
ejpam-5729	378	2	improved	improved	ADJ
ejpam-5729	378	3	relationship	relationship	NOUN
ejpam-5729	378	4	w.	w.	PROPN
ejpam-5729	378	5	muhsin	muhsin	PROPN
ejpam-5729	378	6	et	et	PROPN
ejpam-5729	378	7	al	al	PROPN
ejpam-5729	378	8	.	.	PUNCT
ejpam-5729	378	9	/	/	SYM
ejpam-5729	378	10	eur	eur	PROPN
ejpam-5729	378	11	.	.	PUNCT
ejpam-5729	379	1	j.	j.	PROPN
ejpam-5729	379	2	pure	pure	PROPN
ejpam-5729	379	3	appl	appl	PROPN
ejpam-5729	379	4	.	.	PROPN
ejpam-5729	379	5	math	math	PROPN
ejpam-5729	379	6	,	,	PUNCT
ejpam-5729	379	7	18	18	NUM
ejpam-5729	379	8	(	(	PUNCT
ejpam-5729	379	9	1	1	NUM
ejpam-5729	379	10	)	)	PUNCT
ejpam-5729	379	11	(	(	PUNCT
ejpam-5729	379	12	2025	2025	NUM
ejpam-5729	379	13	)	)	PUNCT
ejpam-5729	379	14	,	,	PUNCT
ejpam-5729	379	15	5729	5729	NUM
ejpam-5729	379	16	16	16	NUM
ejpam-5729	379	17	of	of	ADP
ejpam-5729	379	18	17	17	NUM
ejpam-5729	379	19	between	between	ADP
ejpam-5729	379	20	the	the	DET
ejpam-5729	379	21	solution	solution	NOUN
ejpam-5729	379	22	and	and	CCONJ
ejpam-5729	379	23	its	its	PRON
ejpam-5729	379	24	corresponding	correspond	VERB
ejpam-5729	379	25	function	function	NOUN
ejpam-5729	379	26	in	in	ADP
ejpam-5729	379	27	fourth	fourth	ADJ
ejpam-5729	379	28	-	-	PUNCT
ejpam-5729	379	29	order	order	NOUN
ejpam-5729	379	30	neutral	neutral	ADJ
ejpam-5729	379	31	differential	differential	ADJ
ejpam-5729	379	32	equations	equation	NOUN
ejpam-5729	379	33	and	and	CCONJ
ejpam-5729	379	34	its	its	PRON
ejpam-5729	379	35	applications	application	NOUN
ejpam-5729	379	36	.	.	PUNCT
ejpam-5729	380	1	mathematics	mathematic	NOUN
ejpam-5729	380	2	,	,	PUNCT
ejpam-5729	380	3	11(7):1708	11(7):1708	NUM
ejpam-5729	380	4	,	,	PUNCT
ejpam-5729	380	5	april	april	PROPN
ejpam-5729	380	6	2023	2023	NUM
ejpam-5729	380	7	.	.	PUNCT
ejpam-5729	381	1	[	[	X
ejpam-5729	381	2	32	32	NUM
ejpam-5729	381	3	]	]	X
ejpam-5729	381	4	osama	osama	PROPN
ejpam-5729	381	5	moaaz	moaaz	PROPN
ejpam-5729	381	6	,	,	PUNCT
ejpam-5729	381	7	ioannis	ioannis	PROPN
ejpam-5729	381	8	dassios	dassio	NOUN
ejpam-5729	381	9	,	,	PUNCT
ejpam-5729	381	10	waad	waad	PROPN
ejpam-5729	381	11	muhsin	muhsin	PROPN
ejpam-5729	381	12	,	,	PUNCT
ejpam-5729	381	13	and	and	CCONJ
ejpam-5729	381	14	ali	ali	PROPN
ejpam-5729	381	15	muhib	muhib	NOUN
ejpam-5729	381	16	.	.	PUNCT
ejpam-5729	382	1	oscillation	oscillation	NOUN
ejpam-5729	382	2	theory	theory	NOUN
ejpam-5729	382	3	for	for	ADP
ejpam-5729	382	4	non	non	ADJ
ejpam-5729	382	5	-	-	ADJ
ejpam-5729	382	6	linear	linear	ADJ
ejpam-5729	382	7	neutral	neutral	ADJ
ejpam-5729	382	8	delay	delay	NOUN
ejpam-5729	382	9	differential	differential	ADJ
ejpam-5729	382	10	equations	equation	NOUN
ejpam-5729	382	11	of	of	ADP
ejpam-5729	382	12	third	third	ADJ
ejpam-5729	382	13	order	order	NOUN
ejpam-5729	382	14	.	.	PUNCT
ejpam-5729	383	1	applied	apply	VERB
ejpam-5729	383	2	sciences	science	NOUN
ejpam-5729	383	3	,	,	PUNCT
ejpam-5729	383	4	10(14):4855	10(14):4855	NUM
ejpam-5729	383	5	,	,	PUNCT
ejpam-5729	383	6	july	july	PROPN
ejpam-5729	383	7	2020	2020	NUM
ejpam-5729	383	8	.	.	PUNCT
ejpam-5729	384	1	[	[	X
ejpam-5729	384	2	33	33	NUM
ejpam-5729	384	3	]	]	X
ejpam-5729	384	4	osama	osama	PROPN
ejpam-5729	384	5	moaaz	moaaz	PROPN
ejpam-5729	384	6	,	,	PUNCT
ejpam-5729	384	7	rami	rami	PROPN
ejpam-5729	384	8	ahmad	ahmad	PROPN
ejpam-5729	384	9	el	el	PROPN
ejpam-5729	384	10	-	-	PUNCT
ejpam-5729	384	11	nabulsi	nabulsi	PROPN
ejpam-5729	384	12	,	,	PUNCT
ejpam-5729	384	13	waad	waad	PROPN
ejpam-5729	384	14	muhsin	muhsin	PROPN
ejpam-5729	384	15	,	,	PUNCT
ejpam-5729	384	16	and	and	CCONJ
ejpam-5729	384	17	omar	omar	PROPN
ejpam-5729	384	18	bazighifan	bazighifan	PROPN
ejpam-5729	384	19	.	.	PUNCT
ejpam-5729	385	1	improved	improve	VERB
ejpam-5729	385	2	oscillation	oscillation	NOUN
ejpam-5729	385	3	criteria	criterion	NOUN
ejpam-5729	385	4	for	for	ADP
ejpam-5729	385	5	2nd	2nd	ADJ
ejpam-5729	385	6	-	-	PUNCT
ejpam-5729	385	7	order	order	NOUN
ejpam-5729	385	8	neutral	neutral	ADJ
ejpam-5729	385	9	differential	differential	NOUN
ejpam-5729	385	10	equations	equation	NOUN
ejpam-5729	385	11	with	with	ADP
ejpam-5729	385	12	distributed	distribute	VERB
ejpam-5729	385	13	deviating	deviate	VERB
ejpam-5729	385	14	arguments	argument	NOUN
ejpam-5729	385	15	.	.	PUNCT
ejpam-5729	386	1	mathematics	mathematic	NOUN
ejpam-5729	386	2	,	,	PUNCT
ejpam-5729	386	3	8(5):849	8(5):849	NUM
ejpam-5729	386	4	,	,	PUNCT
ejpam-5729	386	5	may	may	AUX
ejpam-5729	386	6	2020	2020	NUM
ejpam-5729	386	7	.	.	PUNCT
ejpam-5729	387	1	[	[	X
ejpam-5729	387	2	34	34	NUM
ejpam-5729	387	3	]	]	X
ejpam-5729	387	4	ali	ali	PROPN
ejpam-5729	387	5	muhib	muhib	PROPN
ejpam-5729	387	6	,	,	PUNCT
ejpam-5729	387	7	osama	osama	PROPN
ejpam-5729	387	8	moaaz	moaaz	PROPN
ejpam-5729	387	9	,	,	PUNCT
ejpam-5729	387	10	clemente	clemente	PROPN
ejpam-5729	387	11	cesarano	cesarano	PROPN
ejpam-5729	387	12	,	,	PUNCT
ejpam-5729	387	13	and	and	CCONJ
ejpam-5729	387	14	sameh	sameh	NOUN
ejpam-5729	387	15	s.	s.	PROPN
ejpam-5729	387	16	askar	askar	PROPN
ejpam-5729	387	17	.	.	PUNCT
ejpam-5729	388	1	new	new	ADJ
ejpam-5729	388	2	conditions	condition	NOUN
ejpam-5729	388	3	for	for	ADP
ejpam-5729	388	4	testing	test	VERB
ejpam-5729	388	5	the	the	DET
ejpam-5729	388	6	oscillation	oscillation	NOUN
ejpam-5729	388	7	of	of	ADP
ejpam-5729	388	8	fourth	fourth	ADJ
ejpam-5729	388	9	-	-	PUNCT
ejpam-5729	388	10	order	order	NOUN
ejpam-5729	388	11	differential	differential	ADJ
ejpam-5729	388	12	equations	equation	NOUN
ejpam-5729	388	13	with	with	ADP
ejpam-5729	388	14	several	several	ADJ
ejpam-5729	388	15	delays	delay	NOUN
ejpam-5729	388	16	.	.	PUNCT
ejpam-5729	389	1	symmetry	symmetry	NOUN
ejpam-5729	389	2	,	,	PUNCT
ejpam-5729	389	3	14(5):1068	14(5):1068	NUM
ejpam-5729	389	4	,	,	PUNCT
ejpam-5729	389	5	may	may	AUX
ejpam-5729	389	6	2022	2022	NUM
ejpam-5729	389	7	.	.	PUNCT
ejpam-5729	390	1	[	[	X
ejpam-5729	390	2	35	35	NUM
ejpam-5729	390	3	]	]	PUNCT
ejpam-5729	390	4	waed	waed	NOUN
ejpam-5729	390	5	muhsin	muhsin	PROPN
ejpam-5729	390	6	,	,	PUNCT
ejpam-5729	390	7	osama	osama	PROPN
ejpam-5729	390	8	moaaz	moaaz	PROPN
ejpam-5729	390	9	,	,	PUNCT
ejpam-5729	390	10	sameh	sameh	NOUN
ejpam-5729	390	11	s.	s.	PROPN
ejpam-5729	390	12	askar	askar	PROPN
ejpam-5729	390	13	,	,	PUNCT
ejpam-5729	390	14	ahmad	ahmad	PROPN
ejpam-5729	390	15	m.	m.	NOUN
ejpam-5729	390	16	alshamrani	alshamrani	PROPN
ejpam-5729	390	17	,	,	PUNCT
ejpam-5729	390	18	and	and	CCONJ
ejpam-5729	390	19	elmetwally	elmetwally	ADV
ejpam-5729	390	20	m.	m.	NOUN
ejpam-5729	390	21	elabbasy	elabbasy	PROPN
ejpam-5729	390	22	.	.	PUNCT
ejpam-5729	391	1	delay	delay	PROPN
ejpam-5729	391	2	differential	differential	ADJ
ejpam-5729	391	3	equations	equation	NOUN
ejpam-5729	391	4	with	with	ADP
ejpam-5729	391	5	several	several	ADJ
ejpam-5729	391	6	sublinear	sublinear	ADJ
ejpam-5729	391	7	neutral	neutral	ADJ
ejpam-5729	391	8	terms	term	NOUN
ejpam-5729	391	9	:	:	PUNCT
ejpam-5729	391	10	investigation	investigation	NOUN
ejpam-5729	391	11	of	of	ADP
ejpam-5729	391	12	oscillatory	oscillatory	ADJ
ejpam-5729	391	13	behavior	behavior	NOUN
ejpam-5729	391	14	.	.	PUNCT
ejpam-5729	392	1	symmetry	symmetry	NOUN
ejpam-5729	392	2	,	,	PUNCT
ejpam-5729	392	3	15(12):2105	15(12):2105	NUM
ejpam-5729	392	4	,	,	PUNCT
ejpam-5729	392	5	november	november	PROPN
ejpam-5729	392	6	2023	2023	NUM
ejpam-5729	392	7	.	.	PUNCT
ejpam-5729	393	1	[	[	X
ejpam-5729	393	2	36	36	NUM
ejpam-5729	393	3	]	]	X
ejpam-5729	393	4	amany	amany	ADJ
ejpam-5729	393	5	nabih	nabih	PROPN
ejpam-5729	393	6	,	,	PUNCT
ejpam-5729	393	7	osama	osama	NOUN
ejpam-5729	393	8	moaaz	moaaz	NOUN
ejpam-5729	393	9	,	,	PUNCT
ejpam-5729	393	10	ghada	ghada	NOUN
ejpam-5729	393	11	alnemer	alnemer	NOUN
ejpam-5729	393	12	,	,	PUNCT
ejpam-5729	393	13	and	and	CCONJ
ejpam-5729	393	14	elmetwally	elmetwally	ADV
ejpam-5729	393	15	m.	m.	NOUN
ejpam-5729	393	16	elabbasy	elabbasy	PROPN
ejpam-5729	393	17	.	.	PUNCT
ejpam-5729	394	1	new	new	ADJ
ejpam-5729	394	2	conditions	condition	NOUN
ejpam-5729	394	3	for	for	ADP
ejpam-5729	394	4	testing	test	VERB
ejpam-5729	394	5	the	the	DET
ejpam-5729	394	6	asymptotic	asymptotic	ADJ
ejpam-5729	394	7	and	and	CCONJ
ejpam-5729	394	8	oscillatory	oscillatory	ADJ
ejpam-5729	394	9	behavior	behavior	NOUN
ejpam-5729	394	10	of	of	ADP
ejpam-5729	394	11	solutions	solution	NOUN
ejpam-5729	394	12	of	of	ADP
ejpam-5729	394	13	neutral	neutral	ADJ
ejpam-5729	394	14	differential	differential	ADJ
ejpam-5729	394	15	equations	equation	NOUN
ejpam-5729	394	16	of	of	ADP
ejpam-5729	394	17	the	the	DET
ejpam-5729	394	18	fourth	fourth	ADJ
ejpam-5729	394	19	order	order	NOUN
ejpam-5729	394	20	.	.	PUNCT
ejpam-5729	395	1	axioms	axiom	NOUN
ejpam-5729	395	2	,	,	PUNCT
ejpam-5729	395	3	12(2):219	12(2):219	NOUN
ejpam-5729	395	4	,	,	PUNCT
ejpam-5729	395	5	february	february	NOUN
ejpam-5729	395	6	2023	2023	NUM
ejpam-5729	395	7	.	.	PUNCT
ejpam-5729	396	1	[	[	X
ejpam-5729	396	2	37	37	NUM
ejpam-5729	396	3	]	]	SYM
ejpam-5729	396	4	zeev	zeev	PROPN
ejpam-5729	396	5	nehari	nehari	PROPN
ejpam-5729	396	6	.	.	PUNCT
ejpam-5729	397	1	on	on	ADP
ejpam-5729	397	2	a	a	DET
ejpam-5729	397	3	class	class	NOUN
ejpam-5729	397	4	of	of	ADP
ejpam-5729	397	5	nonlinear	nonlinear	ADJ
ejpam-5729	397	6	second	second	ADJ
ejpam-5729	397	7	-	-	PUNCT
ejpam-5729	397	8	order	order	NOUN
ejpam-5729	397	9	differential	differential	ADJ
ejpam-5729	397	10	equations	equation	NOUN
ejpam-5729	397	11	.	.	PUNCT
ejpam-5729	398	1	transactions	transaction	NOUN
ejpam-5729	398	2	of	of	ADP
ejpam-5729	398	3	the	the	DET
ejpam-5729	398	4	american	american	PROPN
ejpam-5729	398	5	mathematical	mathematical	PROPN
ejpam-5729	398	6	society	society	NOUN
ejpam-5729	398	7	,	,	PUNCT
ejpam-5729	398	8	95(1):101–123	95(1):101–123	PROPN
ejpam-5729	398	9	,	,	PUNCT
ejpam-5729	398	10	january	january	PROPN
ejpam-5729	398	11	1960	1960	NUM
ejpam-5729	398	12	.	.	PUNCT
ejpam-5729	399	1	[	[	X
ejpam-5729	399	2	38	38	NUM
ejpam-5729	399	3	]	]	PUNCT
ejpam-5729	399	4	mn	mn	NOUN
ejpam-5729	399	5	o	o	X
ejpam-5729	399	6	¡	¡	PROPN
ejpam-5729	399	7	guztöreli	guztöreli	NUM
ejpam-5729	399	8	and	and	CCONJ
ejpam-5729	399	9	rb	rb	PROPN
ejpam-5729	399	10	stein	stein	PROPN
ejpam-5729	399	11	.	.	PUNCT
ejpam-5729	400	1	an	an	DET
ejpam-5729	400	2	analysis	analysis	NOUN
ejpam-5729	400	3	of	of	ADP
ejpam-5729	400	4	oscillations	oscillation	NOUN
ejpam-5729	400	5	in	in	ADP
ejpam-5729	400	6	neuro	neuro	NOUN
ejpam-5729	400	7	-	-	PUNCT
ejpam-5729	400	8	muscular	muscular	ADJ
ejpam-5729	400	9	systems	system	NOUN
ejpam-5729	400	10	.	.	PUNCT
ejpam-5729	401	1	journal	journal	PROPN
ejpam-5729	401	2	of	of	ADP
ejpam-5729	401	3	mathematical	mathematical	ADJ
ejpam-5729	401	4	biology	biology	NOUN
ejpam-5729	401	5	,	,	PUNCT
ejpam-5729	401	6	2(2):87–105	2(2):87–105	NUM
ejpam-5729	401	7	,	,	PUNCT
ejpam-5729	401	8	1975	1975	NUM
ejpam-5729	401	9	.	.	PUNCT
ejpam-5729	402	1	[	[	X
ejpam-5729	402	2	39	39	NUM
ejpam-5729	402	3	]	]	PUNCT
ejpam-5729	402	4	najiyah	najiyah	X
ejpam-5729	402	5	omar	omar	PROPN
ejpam-5729	402	6	,	,	PUNCT
ejpam-5729	402	7	osama	osama	PROPN
ejpam-5729	402	8	moaaz	moaaz	PROPN
ejpam-5729	402	9	,	,	PUNCT
ejpam-5729	402	10	ghada	ghada	NOUN
ejpam-5729	402	11	alnemer	alnemer	NOUN
ejpam-5729	402	12	,	,	PUNCT
ejpam-5729	402	13	and	and	CCONJ
ejpam-5729	402	14	elmetwally	elmetwally	ADV
ejpam-5729	402	15	m.	m.	NOUN
ejpam-5729	402	16	elabbasy	elabbasy	PROPN
ejpam-5729	402	17	.	.	PUNCT
ejpam-5729	403	1	new	new	ADJ
ejpam-5729	403	2	results	result	NOUN
ejpam-5729	403	3	on	on	ADP
ejpam-5729	403	4	the	the	DET
ejpam-5729	403	5	oscillation	oscillation	NOUN
ejpam-5729	403	6	of	of	ADP
ejpam-5729	403	7	solutions	solution	NOUN
ejpam-5729	403	8	of	of	ADP
ejpam-5729	403	9	third	third	ADJ
ejpam-5729	403	10	-	-	PUNCT
ejpam-5729	403	11	order	order	NOUN
ejpam-5729	403	12	differential	differential	ADJ
ejpam-5729	403	13	equations	equation	NOUN
ejpam-5729	403	14	with	with	ADP
ejpam-5729	403	15	multiple	multiple	ADJ
ejpam-5729	403	16	delays	delay	NOUN
ejpam-5729	403	17	.	.	PUNCT
ejpam-5729	404	1	symmetry	symmetry	NOUN
ejpam-5729	404	2	,	,	PUNCT
ejpam-5729	404	3	15(10):1920	15(10):1920	NUM
ejpam-5729	404	4	,	,	PUNCT
ejpam-5729	404	5	october	october	PROPN
ejpam-5729	404	6	2023	2023	NUM
ejpam-5729	404	7	.	.	PUNCT
ejpam-5729	405	1	[	[	X
ejpam-5729	405	2	40	40	NUM
ejpam-5729	405	3	]	]	X
ejpam-5729	405	4	c	c	PROPN
ejpam-5729	405	5	philos	philos	PROPN
ejpam-5729	405	6	.	.	PUNCT
ejpam-5729	406	1	a	a	DET
ejpam-5729	406	2	new	new	ADJ
ejpam-5729	406	3	criterion	criterion	NOUN
ejpam-5729	406	4	for	for	ADP
ejpam-5729	406	5	the	the	DET
ejpam-5729	406	6	oscillatory	oscillatory	ADJ
ejpam-5729	406	7	and	and	CCONJ
ejpam-5729	406	8	asymptotic	asymptotic	ADJ
ejpam-5729	406	9	behavior	behavior	NOUN
ejpam-5729	406	10	of	of	ADP
ejpam-5729	406	11	delay	delay	NOUN
ejpam-5729	406	12	differential	differential	ADJ
ejpam-5729	406	13	equations	equation	NOUN
ejpam-5729	406	14	.	.	PUNCT
ejpam-5729	407	1	sci	sci	PROPN
ejpam-5729	407	2	.	.	PROPN
ejpam-5729	407	3	,	,	PUNCT
ejpam-5729	407	4	ser	ser	PROPN
ejpam-5729	407	5	.	.	PUNCT
ejpam-5729	408	1	sci	sci	PROPN
ejpam-5729	408	2	.	.	PROPN
ejpam-5729	408	3	math	math	PROPN
ejpam-5729	408	4	,	,	PUNCT
ejpam-5729	408	5	january	january	PROPN
ejpam-5729	408	6	1981	1981	NUM
ejpam-5729	408	7	.	.	PUNCT
ejpam-5729	409	1	[	[	X
ejpam-5729	409	2	41	41	NUM
ejpam-5729	409	3	]	]	X
ejpam-5729	409	4	ch	ch	NOUN
ejpam-5729	409	5	g	g	PROPN
ejpam-5729	409	6	philos	philos	PROPN
ejpam-5729	409	7	.	.	PUNCT
ejpam-5729	410	1	on	on	ADP
ejpam-5729	410	2	the	the	DET
ejpam-5729	410	3	existence	existence	NOUN
ejpam-5729	410	4	of	of	ADP
ejpam-5729	410	5	nonoscillatory	nonoscillatory	ADJ
ejpam-5729	410	6	solutions	solution	NOUN
ejpam-5729	410	7	tending	tend	VERB
ejpam-5729	410	8	to	to	ADP
ejpam-5729	410	9	zero	zero	NUM
ejpam-5729	410	10	at	at	ADP
ejpam-5729	410	11	∞	∞	PROPN
ejpam-5729	410	12	for	for	ADP
ejpam-5729	410	13	differential	differential	ADJ
ejpam-5729	410	14	equations	equation	NOUN
ejpam-5729	410	15	with	with	ADP
ejpam-5729	410	16	positive	positive	ADJ
ejpam-5729	410	17	delays	delay	NOUN
ejpam-5729	410	18	.	.	PUNCT
ejpam-5729	411	1	archiv	archiv	PROPN
ejpam-5729	411	2	der	der	PROPN
ejpam-5729	411	3	mathematik	mathematik	PROPN
ejpam-5729	411	4	,	,	PUNCT
ejpam-5729	411	5	36:168–178	36:168–178	NUM
ejpam-5729	411	6	,	,	PUNCT
ejpam-5729	411	7	1981	1981	NUM
ejpam-5729	411	8	.	.	PUNCT
ejpam-5729	412	1	[	[	X
ejpam-5729	412	2	42	42	NUM
ejpam-5729	412	3	]	]	X
ejpam-5729	412	4	hend	hend	PROPN
ejpam-5729	412	5	salah	salah	PROPN
ejpam-5729	412	6	,	,	PUNCT
ejpam-5729	412	7	osama	osama	PROPN
ejpam-5729	412	8	moaaz	moaaz	NOUN
ejpam-5729	412	9	,	,	PUNCT
ejpam-5729	412	10	sameh	sameh	NOUN
ejpam-5729	412	11	s.	s.	PROPN
ejpam-5729	412	12	askar	askar	PROPN
ejpam-5729	412	13	,	,	PUNCT
ejpam-5729	412	14	ahmad	ahmad	PROPN
ejpam-5729	412	15	m.	m.	NOUN
ejpam-5729	412	16	alshamrani	alshamrani	PROPN
ejpam-5729	412	17	,	,	PUNCT
ejpam-5729	412	18	and	and	CCONJ
ejpam-5729	412	19	elmetwally	elmetwally	ADV
ejpam-5729	412	20	m.	m.	NOUN
ejpam-5729	412	21	elabbasy	elabbasy	PROPN
ejpam-5729	412	22	.	.	PUNCT
ejpam-5729	413	1	optimizing	optimize	VERB
ejpam-5729	413	2	the	the	DET
ejpam-5729	413	3	monotonic	monotonic	ADJ
ejpam-5729	413	4	properties	property	NOUN
ejpam-5729	413	5	of	of	ADP
ejpam-5729	413	6	fourth	fourth	ADJ
ejpam-5729	413	7	-	-	PUNCT
ejpam-5729	413	8	order	order	NOUN
ejpam-5729	413	9	neutral	neutral	ADJ
ejpam-5729	413	10	differential	differential	ADJ
ejpam-5729	413	11	equations	equation	NOUN
ejpam-5729	413	12	and	and	CCONJ
ejpam-5729	413	13	their	their	PRON
ejpam-5729	413	14	applications	application	NOUN
ejpam-5729	413	15	.	.	PUNCT
ejpam-5729	414	1	symmetry	symmetry	NOUN
ejpam-5729	414	2	,	,	PUNCT
ejpam-5729	414	3	15(9):1744	15(9):1744	NUM
ejpam-5729	414	4	,	,	PUNCT
ejpam-5729	414	5	september	september	PROPN
ejpam-5729	414	6	2023	2023	NUM
ejpam-5729	414	7	.	.	PUNCT
ejpam-5729	415	1	[	[	X
ejpam-5729	415	2	43	43	NUM
ejpam-5729	415	3	]	]	X
ejpam-5729	415	4	shyam	shyam	PROPN
ejpam-5729	415	5	sundar	sundar	PROPN
ejpam-5729	415	6	santra	santra	PROPN
ejpam-5729	415	7	,	,	PUNCT
ejpam-5729	415	8	apurba	apurba	PROPN
ejpam-5729	415	9	ghosh	ghosh	PROPN
ejpam-5729	415	10	,	,	PUNCT
ejpam-5729	415	11	and	and	CCONJ
ejpam-5729	415	12	ioannis	ioannis	PROPN
ejpam-5729	415	13	dassios	dassio	NOUN
ejpam-5729	415	14	.	.	PUNCT
ejpam-5729	416	1	second	second	ADJ
ejpam-5729	416	2	-	-	PUNCT
ejpam-5729	416	3	order	order	NOUN
ejpam-5729	416	4	impulsive	impulsive	ADJ
ejpam-5729	416	5	differential	differential	ADJ
ejpam-5729	416	6	systems	system	NOUN
ejpam-5729	416	7	with	with	ADP
ejpam-5729	416	8	mixed	mixed	ADJ
ejpam-5729	416	9	delays	delay	NOUN
ejpam-5729	416	10	:	:	PUNCT
ejpam-5729	416	11	oscillation	oscillation	NOUN
ejpam-5729	416	12	theorems	theorem	NOUN
ejpam-5729	416	13	.	.	PUNCT
ejpam-5729	417	1	mathematical	mathematical	ADJ
ejpam-5729	417	2	methods	method	NOUN
ejpam-5729	417	3	in	in	ADP
ejpam-5729	417	4	the	the	DET
ejpam-5729	417	5	applied	apply	VERB
ejpam-5729	417	6	sciences	science	NOUN
ejpam-5729	417	7	,	,	PUNCT
ejpam-5729	417	8	45(18):12184–12195	45(18):12184–12195	NUM
ejpam-5729	417	9	,	,	PUNCT
ejpam-5729	417	10	october	october	PROPN
ejpam-5729	417	11	2021	2021	NUM
ejpam-5729	417	12	.	.	PUNCT
ejpam-5729	418	1	[	[	X
ejpam-5729	418	2	44	44	NUM
ejpam-5729	418	3	]	]	PUNCT
ejpam-5729	418	4	shyam	shyam	PROPN
ejpam-5729	418	5	sundar	sundar	PROPN
ejpam-5729	418	6	santra	santra	PROPN
ejpam-5729	418	7	,	,	PUNCT
ejpam-5729	418	8	khaled	khaled	PROPN
ejpam-5729	418	9	mohamed	mohamed	PROPN
ejpam-5729	418	10	khedher	khedher	PROPN
ejpam-5729	418	11	,	,	PUNCT
ejpam-5729	418	12	and	and	CCONJ
ejpam-5729	418	13	shao	shao	PROPN
ejpam-5729	418	14	-	-	PUNCT
ejpam-5729	418	15	wen	wen	PROPN
ejpam-5729	418	16	yao	yao	PROPN
ejpam-5729	418	17	.	.	PUNCT
ejpam-5729	419	1	new	new	ADJ
ejpam-5729	419	2	aspects	aspect	NOUN
ejpam-5729	419	3	for	for	ADP
ejpam-5729	419	4	oscillation	oscillation	NOUN
ejpam-5729	419	5	of	of	ADP
ejpam-5729	419	6	differential	differential	ADJ
ejpam-5729	419	7	systems	system	NOUN
ejpam-5729	419	8	with	with	ADP
ejpam-5729	419	9	mixed	mixed	ADJ
ejpam-5729	419	10	delays	delay	NOUN
ejpam-5729	419	11	and	and	CCONJ
ejpam-5729	419	12	impulses	impulse	NOUN
ejpam-5729	419	13	.	.	PUNCT
ejpam-5729	420	1	symmetry	symmetry	NOUN
ejpam-5729	420	2	,	,	PUNCT
ejpam-5729	420	3	13(5):780	13(5):780	NUM
ejpam-5729	420	4	,	,	PUNCT
ejpam-5729	420	5	may	may	AUX
ejpam-5729	420	6	2021	2021	NUM
ejpam-5729	420	7	.	.	PUNCT
ejpam-5729	421	1	[	[	X
ejpam-5729	421	2	45	45	NUM
ejpam-5729	421	3	]	]	PUNCT
ejpam-5729	421	4	ercan	ercan	NOUN
ejpam-5729	421	5	tunç	tunç	PROPN
ejpam-5729	421	6	and	and	CCONJ
ejpam-5729	421	7	orhan	orhan	PROPN
ejpam-5729	421	8	dzdemir	dzdemir	PROPN
ejpam-5729	421	9	.	.	PUNCT
ejpam-5729	422	1	comparison	comparison	NOUN
ejpam-5729	422	2	theorems	theorem	NOUN
ejpam-5729	422	3	on	on	ADP
ejpam-5729	422	4	the	the	DET
ejpam-5729	422	5	oscillation	oscillation	NOUN
ejpam-5729	422	6	of	of	ADP
ejpam-5729	422	7	even	even	ADV
ejpam-5729	422	8	order	order	VERB
ejpam-5729	422	9	nonlinear	nonlinear	ADJ
ejpam-5729	422	10	mixed	mixed	ADJ
ejpam-5729	422	11	neutral	neutral	ADJ
ejpam-5729	422	12	differential	differential	ADJ
ejpam-5729	422	13	equations	equation	NOUN
ejpam-5729	422	14	.	.	PUNCT
ejpam-5729	423	1	mathematical	mathematical	ADJ
ejpam-5729	423	2	methods	method	NOUN
ejpam-5729	423	3	in	in	ADP
ejpam-5729	423	4	the	the	DET
ejpam-5729	423	5	applied	apply	VERB
ejpam-5729	423	6	sciences	science	NOUN
ejpam-5729	423	7	,	,	PUNCT
ejpam-5729	423	8	46(1):631–640	46(1):631–640	NUM
ejpam-5729	423	9	,	,	PUNCT
ejpam-5729	423	10	june	june	PROPN
ejpam-5729	423	11	2022	2022	NUM
ejpam-5729	423	12	.	.	PUNCT
ejpam-5729	424	1	[	[	X
ejpam-5729	424	2	46	46	NUM
ejpam-5729	424	3	]	]	PUNCT
ejpam-5729	424	4	guojing	guoje	VERB
ejpam-5729	424	5	xing	xing	PROPN
ejpam-5729	424	6	,	,	PUNCT
ejpam-5729	424	7	tongxing	tongxe	VERB
ejpam-5729	424	8	li	li	NOUN
ejpam-5729	424	9	,	,	PUNCT
ejpam-5729	424	10	and	and	CCONJ
ejpam-5729	424	11	chenghui	chenghui	PROPN
ejpam-5729	424	12	zhang	zhang	PROPN
ejpam-5729	424	13	.	.	PUNCT
ejpam-5729	425	1	oscillation	oscillation	NOUN
ejpam-5729	425	2	of	of	ADP
ejpam-5729	425	3	higher	high	ADJ
ejpam-5729	425	4	-	-	PUNCT
ejpam-5729	425	5	order	order	NOUN
ejpam-5729	425	6	quasilinear	quasilinear	NOUN
ejpam-5729	425	7	neutral	neutral	ADJ
ejpam-5729	425	8	differential	differential	NOUN
ejpam-5729	425	9	equations	equation	NOUN
ejpam-5729	425	10	.	.	PUNCT
ejpam-5729	426	1	advances	advance	NOUN
ejpam-5729	426	2	in	in	ADP
ejpam-5729	426	3	difference	difference	NOUN
ejpam-5729	426	4	equations	equation	NOUN
ejpam-5729	426	5	,	,	PUNCT
ejpam-5729	426	6	2011(1	2011(1	NUM
ejpam-5729	426	7	)	)	PUNCT
ejpam-5729	426	8	,	,	PUNCT
ejpam-5729	426	9	october	october	PROPN
ejpam-5729	426	10	2011	2011	NUM
ejpam-5729	426	11	.	.	PUNCT
ejpam-5729	427	1	w.	w.	PROPN
ejpam-5729	427	2	muhsin	muhsin	PROPN
ejpam-5729	427	3	et	et	PROPN
ejpam-5729	427	4	al	al	PROPN
ejpam-5729	427	5	.	.	PUNCT
ejpam-5729	427	6	/	/	SYM
ejpam-5729	427	7	eur	eur	PROPN
ejpam-5729	427	8	.	.	PUNCT
ejpam-5729	428	1	j.	j.	PROPN
ejpam-5729	428	2	pure	pure	PROPN
ejpam-5729	428	3	appl	appl	PROPN
ejpam-5729	428	4	.	.	PROPN
ejpam-5729	428	5	math	math	PROPN
ejpam-5729	428	6	,	,	PUNCT
ejpam-5729	428	7	18	18	NUM
ejpam-5729	428	8	(	(	PUNCT
ejpam-5729	428	9	1	1	NUM
ejpam-5729	428	10	)	)	PUNCT
ejpam-5729	428	11	(	(	PUNCT
ejpam-5729	428	12	2025	2025	NUM
ejpam-5729	428	13	)	)	PUNCT
ejpam-5729	428	14	,	,	PUNCT
ejpam-5729	428	15	5729	5729	NUM
ejpam-5729	428	16	17	17	NUM
ejpam-5729	428	17	of	of	ADP
ejpam-5729	428	18	17	17	NUM
ejpam-5729	428	19	[	[	SYM
ejpam-5729	428	20	47	47	NUM
ejpam-5729	428	21	]	]	PUNCT
ejpam-5729	428	22	chenghui	chenghui	PROPN
ejpam-5729	428	23	zhang	zhang	PROPN
ejpam-5729	428	24	,	,	PUNCT
ejpam-5729	428	25	tongxing	tongxe	VERB
ejpam-5729	428	26	li	li	NOUN
ejpam-5729	428	27	,	,	PUNCT
ejpam-5729	428	28	bo	bo	PROPN
ejpam-5729	428	29	sun	sun	PROPN
ejpam-5729	428	30	,	,	PUNCT
ejpam-5729	428	31	and	and	CCONJ
ejpam-5729	428	32	e.	e.	PROPN
ejpam-5729	428	33	thandapani	thandapani	PROPN
ejpam-5729	428	34	.	.	PUNCT
ejpam-5729	429	1	on	on	ADP
ejpam-5729	429	2	the	the	DET
ejpam-5729	429	3	oscillation	oscillation	NOUN
ejpam-5729	429	4	of	of	ADP
ejpam-5729	429	5	higher	high	ADJ
ejpam-5729	429	6	-	-	PUNCT
ejpam-5729	429	7	order	order	NOUN
ejpam-5729	429	8	half	half	ADJ
ejpam-5729	429	9	-	-	PUNCT
ejpam-5729	429	10	linear	linear	NOUN
ejpam-5729	429	11	delay	delay	NOUN
ejpam-5729	429	12	differential	differential	ADJ
ejpam-5729	429	13	equations	equation	NOUN
ejpam-5729	429	14	.	.	PUNCT
ejpam-5729	430	1	applied	apply	VERB
ejpam-5729	430	2	mathematics	mathematics	NOUN
ejpam-5729	430	3	letters	letter	NOUN
ejpam-5729	430	4	,	,	PUNCT
ejpam-5729	430	5	24(9):1618–1621	24(9):1618–1621	PROPN
ejpam-5729	430	6	,	,	PUNCT
ejpam-5729	430	7	april	april	PROPN
ejpam-5729	430	8	2011	2011	NUM
ejpam-5729	430	9	.	.	PUNCT
ejpam-5729	431	1	[	[	X
ejpam-5729	431	2	48	48	NUM
ejpam-5729	431	3	]	]	PUNCT
ejpam-5729	431	4	quanxin	quanxin	PROPN
ejpam-5729	431	5	zhang	zhang	PROPN
ejpam-5729	431	6	,	,	PUNCT
ejpam-5729	431	7	jurang	jurang	PROPN
ejpam-5729	431	8	yan	yan	PROPN
ejpam-5729	431	9	,	,	PUNCT
ejpam-5729	431	10	and	and	CCONJ
ejpam-5729	431	11	li	li	PROPN
ejpam-5729	431	12	gao	gao	PROPN
ejpam-5729	431	13	.	.	PUNCT
ejpam-5729	432	1	oscillation	oscillation	NOUN
ejpam-5729	432	2	behavior	behavior	NOUN
ejpam-5729	432	3	of	of	ADP
ejpam-5729	432	4	even	even	ADJ
ejpam-5729	432	5	-	-	PUNCT
ejpam-5729	432	6	order	order	NOUN
ejpam-5729	432	7	nonlinear	nonlinear	ADJ
ejpam-5729	432	8	neutral	neutral	ADJ
ejpam-5729	432	9	differential	differential	ADJ
ejpam-5729	432	10	equations	equation	NOUN
ejpam-5729	432	11	with	with	ADP
ejpam-5729	432	12	variable	variable	ADJ
ejpam-5729	432	13	coefficients	coefficient	NOUN
ejpam-5729	432	14	.	.	PUNCT
ejpam-5729	433	1	computers	computer	NOUN
ejpam-5729	433	2	&	&	CCONJ
ejpam-5729	433	3	mathematics	mathematics	PROPN
ejpam-5729	433	4	with	with	ADP
ejpam-5729	433	5	applications	application	NOUN
ejpam-5729	433	6	,	,	PUNCT
ejpam-5729	433	7	59(1):426–430	59(1):426–430	PROPN
ejpam-5729	433	8	,	,	PUNCT
ejpam-5729	433	9	july	july	PROPN
ejpam-5729	433	10	2009	2009	NUM
ejpam-5729	433	11	.	.	PUNCT