id	sid	tid	token	lemma	pos
ejpam-6277	1	1	european	european	PROPN
ejpam-6277	1	2	journal	journal	PROPN
ejpam-6277	1	3	of	of	ADP
ejpam-6277	1	4	pure	pure	ADJ
ejpam-6277	1	5	and	and	CCONJ
ejpam-6277	1	6	applied	applied	ADJ
ejpam-6277	1	7	mathematics	mathematic	NOUN
ejpam-6277	1	8	2025	2025	NUM
ejpam-6277	1	9	,	,	PUNCT
ejpam-6277	1	10	vol	vol	NOUN
ejpam-6277	1	11	.	.	PROPN
ejpam-6277	1	12	18	18	NUM
ejpam-6277	1	13	,	,	PUNCT
ejpam-6277	1	14	issue	issue	NOUN
ejpam-6277	1	15	3	3	NUM
ejpam-6277	1	16	,	,	PUNCT
ejpam-6277	1	17	article	article	NOUN
ejpam-6277	1	18	number	number	NOUN
ejpam-6277	1	19	6277	6277	NUM
ejpam-6277	1	20	issn	issn	VERB
ejpam-6277	1	21	1307	1307	NUM
ejpam-6277	1	22	-	-	SYM
ejpam-6277	1	23	5543	5543	NUM
ejpam-6277	1	24	–	–	PUNCT
ejpam-6277	1	25	ejpam.com	ejpam.com	X
ejpam-6277	1	26	published	publish	VERB
ejpam-6277	1	27	by	by	ADP
ejpam-6277	1	28	new	new	PROPN
ejpam-6277	1	29	york	york	PROPN
ejpam-6277	1	30	business	business	PROPN
ejpam-6277	1	31	global	global	PROPN
ejpam-6277	1	32	nonlinear	nonlinear	ADJ
ejpam-6277	1	33	advanced	advanced	ADJ
ejpam-6277	1	34	differential	differential	NOUN
ejpam-6277	1	35	equations	equation	NOUN
ejpam-6277	1	36	:	:	PUNCT
ejpam-6277	1	37	improving	improve	VERB
ejpam-6277	1	38	some	some	DET
ejpam-6277	1	39	properties	property	NOUN
ejpam-6277	1	40	of	of	ADP
ejpam-6277	1	41	positive	positive	ADJ
ejpam-6277	1	42	solutions	solution	NOUN
ejpam-6277	1	43	and	and	CCONJ
ejpam-6277	1	44	their	their	PRON
ejpam-6277	1	45	applications	application	NOUN
ejpam-6277	1	46	wedad	wedad	X
ejpam-6277	1	47	alhaysuni1	alhaysuni1	PROPN
ejpam-6277	1	48	,	,	PUNCT
ejpam-6277	1	49	saleh	saleh	PROPN
ejpam-6277	1	50	fahad	fahad	PROPN
ejpam-6277	1	51	aljurbua1,∗	aljurbua1,∗	PROPN
ejpam-6277	1	52	,	,	PUNCT
ejpam-6277	1	53	osama	osama	PROPN
ejpam-6277	1	54	moaaz1	moaaz1	NOUN
ejpam-6277	1	55	1	1	NUM
ejpam-6277	1	56	department	department	NOUN
ejpam-6277	1	57	of	of	ADP
ejpam-6277	1	58	mathematics	mathematic	NOUN
ejpam-6277	1	59	,	,	PUNCT
ejpam-6277	1	60	college	college	NOUN
ejpam-6277	1	61	of	of	ADP
ejpam-6277	1	62	science	science	NOUN
ejpam-6277	1	63	,	,	PUNCT
ejpam-6277	1	64	qassim	qassim	PROPN
ejpam-6277	1	65	university	university	NOUN
ejpam-6277	1	66	,	,	PUNCT
ejpam-6277	1	67	p.	p.	PROPN
ejpam-6277	1	68	o.	o.	PROPN
ejpam-6277	1	69	box	box	PROPN
ejpam-6277	1	70	6644	6644	NUM
ejpam-6277	1	71	,	,	PUNCT
ejpam-6277	1	72	buraydah	buraydah	PROPN
ejpam-6277	1	73	,	,	PUNCT
ejpam-6277	1	74	51452	51452	NUM
ejpam-6277	1	75	saudi	saudi	PROPN
ejpam-6277	1	76	arabia	arabia	PROPN
ejpam-6277	1	77	abstract	abstract	NOUN
ejpam-6277	1	78	.	.	PUNCT
ejpam-6277	2	1	this	this	DET
ejpam-6277	2	2	study	study	NOUN
ejpam-6277	2	3	examines	examine	VERB
ejpam-6277	2	4	the	the	DET
ejpam-6277	2	5	oscillatory	oscillatory	ADJ
ejpam-6277	2	6	performance	performance	NOUN
ejpam-6277	2	7	of	of	ADP
ejpam-6277	2	8	solutions	solution	NOUN
ejpam-6277	2	9	of	of	ADP
ejpam-6277	2	10	functional	functional	ADJ
ejpam-6277	2	11	differential	differential	ADJ
ejpam-6277	2	12	equations	equation	NOUN
ejpam-6277	2	13	with	with	ADP
ejpam-6277	2	14	an	an	DET
ejpam-6277	2	15	advanced	advanced	ADJ
ejpam-6277	2	16	argument	argument	NOUN
ejpam-6277	2	17	.	.	PUNCT
ejpam-6277	3	1	equations	equation	NOUN
ejpam-6277	3	2	of	of	ADP
ejpam-6277	3	3	the	the	DET
ejpam-6277	3	4	advanced	advanced	ADJ
ejpam-6277	3	5	type	type	NOUN
ejpam-6277	3	6	have	have	AUX
ejpam-6277	3	7	not	not	PART
ejpam-6277	3	8	received	receive	VERB
ejpam-6277	3	9	as	as	ADV
ejpam-6277	3	10	much	much	ADJ
ejpam-6277	3	11	study	study	NOUN
ejpam-6277	3	12	as	as	ADP
ejpam-6277	3	13	equations	equation	NOUN
ejpam-6277	3	14	with	with	ADP
ejpam-6277	3	15	delay	delay	NOUN
ejpam-6277	3	16	.	.	PUNCT
ejpam-6277	4	1	we	we	PRON
ejpam-6277	4	2	deduce	deduce	VERB
ejpam-6277	4	3	some	some	DET
ejpam-6277	4	4	new	new	ADJ
ejpam-6277	4	5	monotonic	monotonic	ADJ
ejpam-6277	4	6	properties	property	NOUN
ejpam-6277	4	7	of	of	ADP
ejpam-6277	4	8	the	the	DET
ejpam-6277	4	9	positive	positive	ADJ
ejpam-6277	4	10	solutions	solution	NOUN
ejpam-6277	4	11	of	of	ADP
ejpam-6277	4	12	the	the	DET
ejpam-6277	4	13	studied	studied	ADJ
ejpam-6277	4	14	equation	equation	NOUN
ejpam-6277	4	15	.	.	PUNCT
ejpam-6277	5	1	then	then	ADV
ejpam-6277	5	2	,	,	PUNCT
ejpam-6277	5	3	we	we	PRON
ejpam-6277	5	4	use	use	VERB
ejpam-6277	5	5	these	these	DET
ejpam-6277	5	6	properties	property	NOUN
ejpam-6277	5	7	to	to	PART
ejpam-6277	5	8	obtain	obtain	VERB
ejpam-6277	5	9	criteria	criterion	NOUN
ejpam-6277	5	10	that	that	PRON
ejpam-6277	5	11	test	test	VERB
ejpam-6277	5	12	the	the	DET
ejpam-6277	5	13	oscillatory	oscillatory	ADJ
ejpam-6277	5	14	nature	nature	NOUN
ejpam-6277	5	15	of	of	ADP
ejpam-6277	5	16	the	the	DET
ejpam-6277	5	17	solutions	solution	NOUN
ejpam-6277	5	18	.	.	PUNCT
ejpam-6277	6	1	we	we	PRON
ejpam-6277	6	2	apply	apply	VERB
ejpam-6277	6	3	the	the	DET
ejpam-6277	6	4	results	result	NOUN
ejpam-6277	6	5	to	to	ADP
ejpam-6277	6	6	some	some	DET
ejpam-6277	6	7	special	special	ADJ
ejpam-6277	6	8	cases	case	NOUN
ejpam-6277	6	9	,	,	PUNCT
ejpam-6277	6	10	compare	compare	VERB
ejpam-6277	6	11	them	they	PRON
ejpam-6277	6	12	with	with	ADP
ejpam-6277	6	13	previous	previous	ADJ
ejpam-6277	6	14	results	result	NOUN
ejpam-6277	6	15	,	,	PUNCT
ejpam-6277	6	16	and	and	CCONJ
ejpam-6277	6	17	analyze	analyze	VERB
ejpam-6277	6	18	the	the	DET
ejpam-6277	6	19	results	result	NOUN
ejpam-6277	6	20	to	to	PART
ejpam-6277	6	21	demonstrate	demonstrate	VERB
ejpam-6277	6	22	the	the	DET
ejpam-6277	6	23	novelty	novelty	NOUN
ejpam-6277	6	24	and	and	CCONJ
ejpam-6277	6	25	importance	importance	NOUN
ejpam-6277	6	26	.	.	PUNCT
ejpam-6277	7	1	2020	2020	NUM
ejpam-6277	7	2	mathematics	mathematic	NOUN
ejpam-6277	7	3	subject	subject	NOUN
ejpam-6277	7	4	classifications	classification	NOUN
ejpam-6277	7	5	:	:	PUNCT
ejpam-6277	7	6	34c10	34c10	NUM
ejpam-6277	7	7	,	,	PUNCT
ejpam-6277	7	8	34k11	34k11	NUM
ejpam-6277	7	9	key	key	ADJ
ejpam-6277	7	10	words	word	NOUN
ejpam-6277	7	11	and	and	CCONJ
ejpam-6277	7	12	phrases	phrase	NOUN
ejpam-6277	7	13	:	:	PUNCT
ejpam-6277	7	14	differential	differential	ADJ
ejpam-6277	7	15	equations	equation	NOUN
ejpam-6277	7	16	,	,	PUNCT
ejpam-6277	7	17	advanced	advanced	ADJ
ejpam-6277	7	18	argument	argument	NOUN
ejpam-6277	7	19	,	,	PUNCT
ejpam-6277	7	20	oscillatory	oscillatory	ADJ
ejpam-6277	7	21	performance	performance	NOUN
ejpam-6277	7	22	,	,	PUNCT
ejpam-6277	7	23	noncanonical	noncanonical	ADJ
ejpam-6277	7	24	case	case	NOUN
ejpam-6277	7	25	1	1	NUM
ejpam-6277	7	26	.	.	X
ejpam-6277	8	1	introduction	introduction	NOUN
ejpam-6277	8	2	advanced	advance	VERB
ejpam-6277	8	3	differential	differential	ADJ
ejpam-6277	8	4	equations	equation	NOUN
ejpam-6277	8	5	(	(	PUNCT
ejpam-6277	8	6	ades	ade	NOUN
ejpam-6277	8	7	)	)	PUNCT
ejpam-6277	8	8	are	be	AUX
ejpam-6277	8	9	necessary	necessary	ADJ
ejpam-6277	8	10	for	for	ADP
ejpam-6277	8	11	defining	define	VERB
ejpam-6277	8	12	a	a	DET
ejpam-6277	8	13	wide	wide	ADJ
ejpam-6277	8	14	range	range	NOUN
ejpam-6277	8	15	of	of	ADP
ejpam-6277	8	16	systems	system	NOUN
ejpam-6277	8	17	that	that	PRON
ejpam-6277	8	18	rely	rely	VERB
ejpam-6277	8	19	on	on	ADP
ejpam-6277	8	20	current	current	ADJ
ejpam-6277	8	21	values	value	NOUN
ejpam-6277	8	22	and	and	CCONJ
ejpam-6277	8	23	future	future	ADJ
ejpam-6277	8	24	predictions	prediction	NOUN
ejpam-6277	8	25	.	.	PUNCT
ejpam-6277	9	1	these	these	DET
ejpam-6277	9	2	equations	equation	NOUN
ejpam-6277	9	3	are	be	AUX
ejpam-6277	9	4	used	use	VERB
ejpam-6277	9	5	in	in	ADP
ejpam-6277	9	6	a	a	DET
ejpam-6277	9	7	variety	variety	NOUN
ejpam-6277	9	8	of	of	ADP
ejpam-6277	9	9	phenomena	phenomenon	NOUN
ejpam-6277	9	10	,	,	PUNCT
ejpam-6277	9	11	including	include	VERB
ejpam-6277	9	12	population	population	NOUN
ejpam-6277	9	13	dynamics	dynamic	NOUN
ejpam-6277	9	14	,	,	PUNCT
ejpam-6277	9	15	economic	economic	ADJ
ejpam-6277	9	16	models	model	NOUN
ejpam-6277	9	17	,	,	PUNCT
ejpam-6277	9	18	and	and	CCONJ
ejpam-6277	9	19	mechanical	mechanical	ADJ
ejpam-6277	9	20	control	control	NOUN
ejpam-6277	9	21	systems	system	NOUN
ejpam-6277	9	22	;	;	PUNCT
ejpam-6277	9	23	see	see	VERB
ejpam-6277	9	24	[	[	X
ejpam-6277	9	25	1–3	1–3	NOUN
ejpam-6277	9	26	]	]	X
ejpam-6277	9	27	.	.	PUNCT
ejpam-6277	10	1	obtaining	obtain	VERB
ejpam-6277	10	2	a	a	DET
ejpam-6277	10	3	closed	closed	ADJ
ejpam-6277	10	4	solution	solution	NOUN
ejpam-6277	10	5	to	to	ADP
ejpam-6277	10	6	these	these	DET
ejpam-6277	10	7	equations	equation	NOUN
ejpam-6277	10	8	is	be	AUX
ejpam-6277	10	9	difficult	difficult	ADJ
ejpam-6277	10	10	,	,	PUNCT
ejpam-6277	10	11	so	so	SCONJ
ejpam-6277	10	12	we	we	PRON
ejpam-6277	10	13	use	use	VERB
ejpam-6277	10	14	oscillation	oscillation	NOUN
ejpam-6277	10	15	theory	theory	NOUN
ejpam-6277	10	16	,	,	PUNCT
ejpam-6277	10	17	among	among	ADP
ejpam-6277	10	18	the	the	DET
ejpam-6277	10	19	most	most	ADV
ejpam-6277	10	20	important	important	ADJ
ejpam-6277	10	21	subfields	subfield	NOUN
ejpam-6277	10	22	of	of	ADP
ejpam-6277	10	23	qualitative	qualitative	ADJ
ejpam-6277	10	24	theory	theory	NOUN
ejpam-6277	10	25	;	;	PUNCT
ejpam-6277	10	26	see	see	VERB
ejpam-6277	10	27	[	[	X
ejpam-6277	10	28	4	4	NUM
ejpam-6277	10	29	,	,	PUNCT
ejpam-6277	10	30	5	5	NUM
ejpam-6277	10	31	]	]	PUNCT
ejpam-6277	10	32	.	.	PUNCT
ejpam-6277	11	1	the	the	DET
ejpam-6277	11	2	primary	primary	ADJ
ejpam-6277	11	3	goal	goal	NOUN
ejpam-6277	11	4	of	of	ADP
ejpam-6277	11	5	this	this	DET
ejpam-6277	11	6	study	study	NOUN
ejpam-6277	11	7	is	be	AUX
ejpam-6277	11	8	to	to	PART
ejpam-6277	11	9	examine	examine	VERB
ejpam-6277	11	10	how	how	SCONJ
ejpam-6277	11	11	second	second	ADJ
ejpam-6277	11	12	-	-	PUNCT
ejpam-6277	11	13	order	order	NOUN
ejpam-6277	11	14	ades	ade	NOUN
ejpam-6277	11	15	exhibit	exhibit	VERB
ejpam-6277	11	16	oscillatory	oscillatory	ADJ
ejpam-6277	11	17	behavior	behavior	NOUN
ejpam-6277	11	18	.	.	PUNCT
ejpam-6277	12	1	here	here	ADV
ejpam-6277	12	2	,	,	PUNCT
ejpam-6277	12	3	we	we	PRON
ejpam-6277	12	4	consider	consider	VERB
ejpam-6277	12	5	the	the	DET
ejpam-6277	12	6	ade	ade	PROPN
ejpam-6277	12	7	(	(	PUNCT
ejpam-6277	12	8	ρ	ρ	PROPN
ejpam-6277	12	9	(	(	PUNCT
ejpam-6277	12	10	s	s	NOUN
ejpam-6277	12	11	)	)	PUNCT
ejpam-6277	12	12	[	[	PUNCT
ejpam-6277	12	13	x′	x′	PROPN
ejpam-6277	12	14	(	(	PUNCT
ejpam-6277	12	15	s	s	NOUN
ejpam-6277	12	16	)	)	PUNCT
ejpam-6277	12	17	]	]	PUNCT
ejpam-6277	12	18	κ)′	κ)′	PROPN
ejpam-6277	12	19	+	+	NOUN
ejpam-6277	12	20	q	q	X
ejpam-6277	13	1	(	(	PUNCT
ejpam-6277	13	2	s)xκ	s)xκ	PROPN
ejpam-6277	13	3	(	(	PUNCT
ejpam-6277	13	4	h	h	PROPN
ejpam-6277	13	5	(	(	PUNCT
ejpam-6277	13	6	s	s	NOUN
ejpam-6277	13	7	)	)	PUNCT
ejpam-6277	13	8	)	)	PUNCT
ejpam-6277	13	9	=	=	SYM
ejpam-6277	13	10	0	0	NUM
ejpam-6277	13	11	,	,	PUNCT
ejpam-6277	13	12	(	(	PUNCT
ejpam-6277	13	13	1	1	X
ejpam-6277	13	14	)	)	PUNCT
ejpam-6277	13	15	∗corresponding	∗corresponde	VERB
ejpam-6277	13	16	author	author	NOUN
ejpam-6277	13	17	.	.	PUNCT
ejpam-6277	14	1	doi	doi	NOUN
ejpam-6277	14	2	:	:	PUNCT
ejpam-6277	14	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6277	https://doi.org/10.29020/nybg.ejpam.v18i3.6277	NOUN
ejpam-6277	14	4	email	email	NOUN
ejpam-6277	14	5	addresses	address	NOUN
ejpam-6277	14	6	:	:	PUNCT
ejpam-6277	14	7	441212393@qu.edu.sa	441212393@qu.edu.sa	NUM
ejpam-6277	14	8	(	(	PUNCT
ejpam-6277	14	9	w.	w.	PROPN
ejpam-6277	14	10	alhaysuni	alhaysuni	PROPN
ejpam-6277	14	11	)	)	PUNCT
ejpam-6277	14	12	,	,	PUNCT
ejpam-6277	14	13	s.aljurbua@qu.edu.sa	s.aljurbua@qu.edu.sa	PROPN
ejpam-6277	14	14	(	(	PUNCT
ejpam-6277	14	15	s.	s.	PROPN
ejpam-6277	14	16	f.	f.	PROPN
ejpam-6277	14	17	aljurbua	aljurbua	PROPN
ejpam-6277	14	18	)	)	PUNCT
ejpam-6277	14	19	,	,	PUNCT
ejpam-6277	14	20	o.refaei@qu.edu.sa	o.refaei@qu.edu.sa	PROPN
ejpam-6277	14	21	,	,	PUNCT
ejpam-6277	14	22	o	o	NOUN
ejpam-6277	14	23	moaaz@mans.edu.eg	moaaz@mans.edu.eg	NOUN
ejpam-6277	14	24	(	(	PUNCT
ejpam-6277	14	25	o.	o.	NOUN
ejpam-6277	14	26	moaaz	moaaz	PROPN
ejpam-6277	14	27	)	)	PUNCT
ejpam-6277	14	28	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6277	15	1	1	1	NUM
ejpam-6277	15	2	copyright	copyright	NOUN
ejpam-6277	15	3	:	:	PUNCT
ejpam-6277	15	4	©	©	PROPN
ejpam-6277	15	5	2025	2025	NUM
ejpam-6277	15	6	the	the	DET
ejpam-6277	15	7	author(s	author(s	NOUN
ejpam-6277	15	8	)	)	PUNCT
ejpam-6277	15	9	.	.	PUNCT
ejpam-6277	16	1	(	(	PUNCT
ejpam-6277	16	2	cc	cc	NOUN
ejpam-6277	16	3	by	by	ADP
ejpam-6277	16	4	-	-	PUNCT
ejpam-6277	16	5	nc	nc	PROPN
ejpam-6277	16	6	4.0	4.0	NUM
ejpam-6277	16	7	)	)	PUNCT
ejpam-6277	16	8	w.	w.	PROPN
ejpam-6277	16	9	alhaysuni	alhaysuni	PROPN
ejpam-6277	16	10	,	,	PUNCT
ejpam-6277	16	11	s.	s.	PROPN
ejpam-6277	16	12	f.	f.	PROPN
ejpam-6277	16	13	aljurbua	aljurbua	PROPN
ejpam-6277	16	14	,	,	PUNCT
ejpam-6277	16	15	o.	o.	PROPN
ejpam-6277	16	16	moaaz	moaaz	PROPN
ejpam-6277	16	17	/	/	SYM
ejpam-6277	16	18	eur	eur	PROPN
ejpam-6277	16	19	.	.	PUNCT
ejpam-6277	17	1	j.	j.	PROPN
ejpam-6277	17	2	pure	pure	PROPN
ejpam-6277	17	3	appl	appl	PROPN
ejpam-6277	17	4	.	.	PROPN
ejpam-6277	17	5	math	math	PROPN
ejpam-6277	17	6	,	,	PUNCT
ejpam-6277	17	7	18	18	NUM
ejpam-6277	17	8	(	(	PUNCT
ejpam-6277	17	9	3	3	NUM
ejpam-6277	17	10	)	)	PUNCT
ejpam-6277	17	11	(	(	PUNCT
ejpam-6277	17	12	2025	2025	NUM
ejpam-6277	17	13	)	)	PUNCT
ejpam-6277	17	14	,	,	PUNCT
ejpam-6277	17	15	6277	6277	NUM
ejpam-6277	17	16	2	2	NUM
ejpam-6277	17	17	of	of	ADP
ejpam-6277	17	18	11	11	NUM
ejpam-6277	17	19	where	where	SCONJ
ejpam-6277	17	20	s	s	PROPN
ejpam-6277	17	21	≥	≥	NOUN
ejpam-6277	17	22	s0	s0	PROPN
ejpam-6277	17	23	,	,	PUNCT
ejpam-6277	17	24	κ	κ	X
ejpam-6277	17	25	≥	≥	NOUN
ejpam-6277	17	26	1	1	NUM
ejpam-6277	17	27	is	be	AUX
ejpam-6277	17	28	a	a	DET
ejpam-6277	17	29	ratio	ratio	NOUN
ejpam-6277	17	30	of	of	ADP
ejpam-6277	17	31	two	two	NUM
ejpam-6277	17	32	integers	integer	NOUN
ejpam-6277	17	33	,	,	PUNCT
ejpam-6277	17	34	ρ	ρ	NOUN
ejpam-6277	17	35	,	,	PUNCT
ejpam-6277	17	36	q	q	PROPN
ejpam-6277	17	37	∈	∈	PROPN
ejpam-6277	17	38	c	c	X
ejpam-6277	17	39	(	(	PUNCT
ejpam-6277	17	40	[	[	X
ejpam-6277	17	41	s0,∞	s0,∞	NOUN
ejpam-6277	17	42	)	)	PUNCT
ejpam-6277	17	43	,	,	PUNCT
ejpam-6277	18	1	[	[	X
ejpam-6277	18	2	0,∞	0,∞	NOUN
ejpam-6277	18	3	)	)	PUNCT
ejpam-6277	18	4	)	)	PUNCT
ejpam-6277	18	5	,	,	PUNCT
ejpam-6277	19	1	ρ	ρ	PROPN
ejpam-6277	19	2	(	(	PUNCT
ejpam-6277	19	3	s	s	NOUN
ejpam-6277	19	4	)	)	PUNCT
ejpam-6277	19	5	>	>	X
ejpam-6277	19	6	0	0	NUM
ejpam-6277	19	7	,	,	PUNCT
ejpam-6277	19	8	h	h	NOUN
ejpam-6277	19	9	∈	∈	PROPN
ejpam-6277	19	10	c	c	NOUN
ejpam-6277	19	11	(	(	PUNCT
ejpam-6277	19	12	[	[	X
ejpam-6277	19	13	s0,∞	s0,∞	NOUN
ejpam-6277	19	14	)	)	PUNCT
ejpam-6277	19	15	,	,	PUNCT
ejpam-6277	19	16	r	r	NOUN
ejpam-6277	19	17	)	)	PUNCT
ejpam-6277	19	18	,	,	PUNCT
ejpam-6277	19	19	h	h	NOUN
ejpam-6277	19	20	(	(	PUNCT
ejpam-6277	19	21	s	s	NOUN
ejpam-6277	19	22	)	)	PUNCT
ejpam-6277	19	23	≥	≥	NUM
ejpam-6277	19	24	s	s	PROPN
ejpam-6277	19	25	,	,	PUNCT
ejpam-6277	19	26	h′	h′	X
ejpam-6277	19	27	(	(	PUNCT
ejpam-6277	19	28	s	s	NOUN
ejpam-6277	19	29	)	)	PUNCT
ejpam-6277	19	30	≥	≥	NOUN
ejpam-6277	19	31	0	0	NUM
ejpam-6277	19	32	,	,	PUNCT
ejpam-6277	19	33	and∫	and∫	NOUN
ejpam-6277	19	34	∞	∞	PROPN
ejpam-6277	19	35	s0	s0	PROPN
ejpam-6277	19	36	ρ−1	ρ−1	PROPN
ejpam-6277	19	37	/	/	SYM
ejpam-6277	19	38	κ	κ	PROPN
ejpam-6277	19	39	(	(	PUNCT
ejpam-6277	19	40	ϱ	ϱ	PROPN
ejpam-6277	19	41	)	)	PUNCT
ejpam-6277	19	42	dϱ	dϱ	NOUN
ejpam-6277	19	43	<	<	X
ejpam-6277	19	44	∞.	∞.	PROPN
ejpam-6277	19	45	for	for	ADP
ejpam-6277	19	46	convenience	convenience	NOUN
ejpam-6277	19	47	,	,	PUNCT
ejpam-6277	19	48	we	we	PRON
ejpam-6277	19	49	define	define	VERB
ejpam-6277	19	50	the	the	DET
ejpam-6277	19	51	integral	integral	ADJ
ejpam-6277	19	52	operator	operator	NOUN
ejpam-6277	19	53	λ	λ	PROPN
ejpam-6277	20	1	[	[	X
ejpam-6277	20	2	f	f	X
ejpam-6277	20	3	(	(	PUNCT
ejpam-6277	20	4	·	·	PUNCT
ejpam-6277	20	5	)	)	PUNCT
ejpam-6277	20	6	;	;	PUNCT
ejpam-6277	20	7	u	u	NOUN
ejpam-6277	20	8	,	,	PUNCT
ejpam-6277	20	9	v	v	NOUN
ejpam-6277	20	10	]	]	PUNCT
ejpam-6277	20	11	:	:	PUNCT
ejpam-6277	20	12	=	=	SYM
ejpam-6277	20	13	∫	∫	PROPN
ejpam-6277	20	14	v	v	NUM
ejpam-6277	20	15	u	u	PROPN
ejpam-6277	20	16	f	f	PROPN
ejpam-6277	20	17	(	(	PUNCT
ejpam-6277	20	18	ϱ	ϱ	PROPN
ejpam-6277	20	19	)	)	PUNCT
ejpam-6277	20	20	dϱ	dϱ	NOUN
ejpam-6277	20	21	,	,	PUNCT
ejpam-6277	20	22	for	for	ADP
ejpam-6277	20	23	v	v	NUM
ejpam-6277	20	24	≥	≥	NOUN
ejpam-6277	20	25	u	u	NOUN
ejpam-6277	20	26	≥	≥	NOUN
ejpam-6277	20	27	s0	s0	NOUN
ejpam-6277	20	28	and	and	CCONJ
ejpam-6277	20	29	f	f	PROPN
ejpam-6277	20	30	∈	∈	PROPN
ejpam-6277	20	31	c	c	X
ejpam-6277	20	32	(	(	PUNCT
ejpam-6277	20	33	[	[	X
ejpam-6277	20	34	s0,∞	s0,∞	NOUN
ejpam-6277	20	35	)	)	PUNCT
ejpam-6277	20	36	)	)	PUNCT
ejpam-6277	20	37	,	,	PUNCT
ejpam-6277	20	38	and	and	CCONJ
ejpam-6277	20	39	the	the	DET
ejpam-6277	20	40	function	function	NOUN
ejpam-6277	20	41	p	p	X
ejpam-6277	20	42	(	(	PUNCT
ejpam-6277	20	43	s	s	NOUN
ejpam-6277	20	44	)	)	PUNCT
ejpam-6277	20	45	:	:	PUNCT
ejpam-6277	20	46	=	=	PUNCT
ejpam-6277	20	47	λ	λ	X
ejpam-6277	20	48	[	[	PUNCT
ejpam-6277	20	49	ρ1	ρ1	NOUN
ejpam-6277	20	50	/	/	SYM
ejpam-6277	20	51	κ	κ	NOUN
ejpam-6277	20	52	;	;	PUNCT
ejpam-6277	20	53	s,∞	s,∞	PROPN
ejpam-6277	20	54	]	]	PUNCT
ejpam-6277	20	55	.	.	PUNCT
ejpam-6277	21	1	a	a	DET
ejpam-6277	21	2	function	function	NOUN
ejpam-6277	21	3	x	x	SYM
ejpam-6277	21	4	∈	∈	PROPN
ejpam-6277	21	5	c1	c1	NOUN
ejpam-6277	21	6	(	(	PUNCT
ejpam-6277	21	7	[	[	X
ejpam-6277	21	8	sx,∞	sx,∞	PROPN
ejpam-6277	21	9	)	)	PUNCT
ejpam-6277	21	10	)	)	PUNCT
ejpam-6277	21	11	,	,	PUNCT
ejpam-6277	21	12	sx	sx	PROPN
ejpam-6277	21	13	≥	≥	PROPN
ejpam-6277	21	14	s0	s0	PROPN
ejpam-6277	21	15	,	,	PUNCT
ejpam-6277	21	16	is	be	AUX
ejpam-6277	21	17	called	call	VERB
ejpam-6277	21	18	a	a	DET
ejpam-6277	21	19	proper	proper	ADJ
ejpam-6277	21	20	solution	solution	NOUN
ejpam-6277	21	21	of	of	ADP
ejpam-6277	21	22	(	(	PUNCT
ejpam-6277	21	23	1	1	X
ejpam-6277	21	24	)	)	PUNCT
ejpam-6277	21	25	if	if	SCONJ
ejpam-6277	21	26	it	it	PRON
ejpam-6277	21	27	has	have	VERB
ejpam-6277	21	28	the	the	DET
ejpam-6277	21	29	features	feature	NOUN
ejpam-6277	21	30	sup	sup	INTJ
ejpam-6277	21	31	{	{	PUNCT
ejpam-6277	21	32	|x	|x	X
ejpam-6277	21	33	(	(	PUNCT
ejpam-6277	21	34	s)|	s)|	NOUN
ejpam-6277	21	35	:	:	PUNCT
ejpam-6277	21	36	s	s	NOUN
ejpam-6277	21	37	≥	≥	NOUN
ejpam-6277	21	38	s1	s1	NOUN
ejpam-6277	21	39	}	}	PUNCT
ejpam-6277	21	40	>	>	X
ejpam-6277	21	41	0	0	NUM
ejpam-6277	21	42	for	for	ADP
ejpam-6277	21	43	s1	s1	PROPN
ejpam-6277	21	44	≥	≥	NUM
ejpam-6277	21	45	sx	sx	PROPN
ejpam-6277	21	46	,	,	PUNCT
ejpam-6277	21	47	ρ	ρ	PROPN
ejpam-6277	22	1	[	[	X
ejpam-6277	22	2	x	x	X
ejpam-6277	22	3	′]κ	′]κ	PROPN
ejpam-6277	22	4	∈	∈	PROPN
ejpam-6277	22	5	c1	c1	NOUN
ejpam-6277	22	6	(	(	PUNCT
ejpam-6277	22	7	[	[	X
ejpam-6277	22	8	sx,∞	sx,∞	PROPN
ejpam-6277	22	9	)	)	PUNCT
ejpam-6277	22	10	)	)	PUNCT
ejpam-6277	22	11	,	,	PUNCT
ejpam-6277	22	12	and	and	CCONJ
ejpam-6277	22	13	satisfies	satisfie	NOUN
ejpam-6277	22	14	(	(	PUNCT
ejpam-6277	22	15	1	1	NUM
ejpam-6277	22	16	)	)	PUNCT
ejpam-6277	22	17	for	for	ADP
ejpam-6277	22	18	all	all	DET
ejpam-6277	22	19	sx	sx	PROPN
ejpam-6277	22	20	≥	≥	NUM
ejpam-6277	22	21	s0	s0	PROPN
ejpam-6277	22	22	.	.	PUNCT
ejpam-6277	23	1	in	in	ADP
ejpam-6277	23	2	this	this	DET
ejpam-6277	23	3	study	study	NOUN
ejpam-6277	23	4	,	,	PUNCT
ejpam-6277	23	5	x	x	VERB
ejpam-6277	23	6	is	be	AUX
ejpam-6277	23	7	said	say	VERB
ejpam-6277	23	8	to	to	PART
ejpam-6277	23	9	be	be	AUX
ejpam-6277	23	10	an	an	DET
ejpam-6277	23	11	oscillatory	oscillatory	ADJ
ejpam-6277	23	12	solution	solution	NOUN
ejpam-6277	23	13	if	if	SCONJ
ejpam-6277	23	14	it	it	PRON
ejpam-6277	23	15	has	have	VERB
ejpam-6277	23	16	a	a	DET
ejpam-6277	23	17	sequence	sequence	NOUN
ejpam-6277	23	18	of	of	ADP
ejpam-6277	23	19	zeros	zero	NOUN
ejpam-6277	23	20	{	{	PUNCT
ejpam-6277	23	21	sn}∞n=0	sn}∞n=0	VERB
ejpam-6277	23	22	such	such	ADJ
ejpam-6277	23	23	that	that	SCONJ
ejpam-6277	23	24	limn→∞	limn→∞	PROPN
ejpam-6277	23	25	sn	sn	X
ejpam-6277	23	26	=	=	SYM
ejpam-6277	23	27	∞.	∞.	PROPN
ejpam-6277	23	28	an	an	DET
ejpam-6277	23	29	equation	equation	NOUN
ejpam-6277	23	30	is	be	AUX
ejpam-6277	23	31	said	say	VERB
ejpam-6277	23	32	to	to	PART
ejpam-6277	23	33	be	be	AUX
ejpam-6277	23	34	oscillatory	oscillatory	ADJ
ejpam-6277	23	35	if	if	SCONJ
ejpam-6277	23	36	all	all	PRON
ejpam-6277	23	37	of	of	ADP
ejpam-6277	23	38	its	its	PRON
ejpam-6277	23	39	solutions	solution	NOUN
ejpam-6277	23	40	exhibit	exhibit	VERB
ejpam-6277	23	41	oscillatory	oscillatory	ADJ
ejpam-6277	23	42	behavior	behavior	NOUN
ejpam-6277	23	43	.	.	PUNCT
ejpam-6277	24	1	while	while	SCONJ
ejpam-6277	24	2	the	the	DET
ejpam-6277	24	3	oscillation	oscillation	NOUN
ejpam-6277	24	4	of	of	ADP
ejpam-6277	24	5	equation	equation	NOUN
ejpam-6277	24	6	(	(	PUNCT
ejpam-6277	24	7	1	1	NUM
ejpam-6277	24	8	)	)	PUNCT
ejpam-6277	24	9	in	in	ADP
ejpam-6277	24	10	the	the	DET
ejpam-6277	24	11	context	context	NOUN
ejpam-6277	24	12	of	of	ADP
ejpam-6277	24	13	delay	delay	NOUN
ejpam-6277	24	14	,	,	PUNCT
ejpam-6277	24	15	i.e.	i.e.	X
ejpam-6277	24	16	,	,	PUNCT
ejpam-6277	24	17	h	h	NOUN
ejpam-6277	24	18	(	(	PUNCT
ejpam-6277	24	19	s	s	NOUN
ejpam-6277	24	20	)	)	PUNCT
ejpam-6277	24	21	≤	≤	NOUN
ejpam-6277	24	22	s	s	PART
ejpam-6277	24	23	,	,	PUNCT
ejpam-6277	24	24	has	have	AUX
ejpam-6277	24	25	been	be	AUX
ejpam-6277	24	26	extensively	extensively	ADV
ejpam-6277	24	27	studied	study	VERB
ejpam-6277	24	28	(	(	PUNCT
ejpam-6277	24	29	see	see	VERB
ejpam-6277	24	30	[	[	X
ejpam-6277	24	31	6–10	6–10	NOUN
ejpam-6277	24	32	]	]	X
ejpam-6277	24	33	)	)	PUNCT
ejpam-6277	24	34	,	,	PUNCT
ejpam-6277	24	35	research	research	NOUN
ejpam-6277	24	36	on	on	ADP
ejpam-6277	24	37	the	the	DET
ejpam-6277	24	38	oscillation	oscillation	NOUN
ejpam-6277	24	39	of	of	ADP
ejpam-6277	24	40	ades	ade	NOUN
ejpam-6277	24	41	,	,	PUNCT
ejpam-6277	24	42	where	where	SCONJ
ejpam-6277	24	43	h	h	PROPN
ejpam-6277	24	44	(	(	PUNCT
ejpam-6277	24	45	s	s	NOUN
ejpam-6277	24	46	)	)	PUNCT
ejpam-6277	24	47	≥	≥	NUM
ejpam-6277	24	48	s	s	NOUN
ejpam-6277	24	49	,	,	PUNCT
ejpam-6277	24	50	remains	remain	VERB
ejpam-6277	24	51	relatively	relatively	ADV
ejpam-6277	24	52	limited	limited	ADJ
ejpam-6277	24	53	.	.	PUNCT
ejpam-6277	25	1	however	however	ADV
ejpam-6277	25	2	,	,	PUNCT
ejpam-6277	25	3	interest	interest	NOUN
ejpam-6277	25	4	in	in	ADP
ejpam-6277	25	5	this	this	DET
ejpam-6277	25	6	area	area	NOUN
ejpam-6277	25	7	has	have	AUX
ejpam-6277	25	8	grown	grow	VERB
ejpam-6277	25	9	significantly	significantly	ADV
ejpam-6277	25	10	in	in	ADP
ejpam-6277	25	11	recent	recent	ADJ
ejpam-6277	25	12	decades	decade	NOUN
ejpam-6277	25	13	due	due	ADP
ejpam-6277	25	14	to	to	ADP
ejpam-6277	25	15	its	its	PRON
ejpam-6277	25	16	increasing	increase	VERB
ejpam-6277	25	17	relevance	relevance	NOUN
ejpam-6277	25	18	;	;	PUNCT
ejpam-6277	25	19	see	see	VERB
ejpam-6277	25	20	[	[	X
ejpam-6277	25	21	11–15	11–15	NUM
ejpam-6277	25	22	]	]	X
ejpam-6277	25	23	.	.	PUNCT
ejpam-6277	26	1	for	for	ADP
ejpam-6277	26	2	related	related	ADJ
ejpam-6277	26	3	results	result	NOUN
ejpam-6277	26	4	in	in	ADP
ejpam-6277	26	5	fractional	fractional	ADJ
ejpam-6277	26	6	models	model	NOUN
ejpam-6277	26	7	,	,	PUNCT
ejpam-6277	26	8	see	see	VERB
ejpam-6277	26	9	[	[	X
ejpam-6277	26	10	16	16	NUM
ejpam-6277	26	11	,	,	PUNCT
ejpam-6277	26	12	17	17	NUM
ejpam-6277	26	13	]	]	PUNCT
ejpam-6277	26	14	and	and	CCONJ
ejpam-6277	26	15	references	reference	NOUN
ejpam-6277	26	16	therein	therein	ADV
ejpam-6277	26	17	.	.	PUNCT
ejpam-6277	27	1	in	in	ADP
ejpam-6277	27	2	1981	1981	NUM
ejpam-6277	27	3	,	,	PUNCT
ejpam-6277	27	4	kusano	kusano	PROPN
ejpam-6277	27	5	and	and	CCONJ
ejpam-6277	27	6	[	[	X
ejpam-6277	27	7	18	18	NUM
ejpam-6277	27	8	]	]	PUNCT
ejpam-6277	27	9	demonstrated	demonstrate	VERB
ejpam-6277	27	10	the	the	DET
ejpam-6277	27	11	oscillation	oscillation	NOUN
ejpam-6277	27	12	of	of	ADP
ejpam-6277	27	13	the	the	DET
ejpam-6277	27	14	equation	equation	NOUN
ejpam-6277	27	15	(	(	PUNCT
ejpam-6277	27	16	ρ	ρ	PROPN
ejpam-6277	27	17	(	(	PUNCT
ejpam-6277	27	18	s)x′	s)x′	PROPN
ejpam-6277	27	19	(	(	PUNCT
ejpam-6277	27	20	s	s	NOUN
ejpam-6277	27	21	)	)	PUNCT
ejpam-6277	27	22	)	)	PUNCT
ejpam-6277	27	23	′	′	X
ejpam-6277	28	1	+	+	CCONJ
ejpam-6277	28	2	q	q	X
ejpam-6277	28	3	(	(	PUNCT
ejpam-6277	28	4	s)x	s)x	X
ejpam-6277	28	5	(	(	PUNCT
ejpam-6277	28	6	h	h	NOUN
ejpam-6277	28	7	(	(	PUNCT
ejpam-6277	28	8	s	s	NOUN
ejpam-6277	28	9	)	)	PUNCT
ejpam-6277	28	10	)	)	PUNCT
ejpam-6277	29	1	=	=	SYM
ejpam-6277	29	2	0	0	PUNCT
ejpam-6277	29	3	(	(	PUNCT
ejpam-6277	29	4	2	2	X
ejpam-6277	29	5	)	)	PUNCT
ejpam-6277	29	6	can	can	AUX
ejpam-6277	29	7	be	be	AUX
ejpam-6277	29	8	inferred	infer	VERB
ejpam-6277	29	9	from	from	ADP
ejpam-6277	29	10	the	the	DET
ejpam-6277	29	11	oscillation	oscillation	NOUN
ejpam-6277	29	12	of	of	ADP
ejpam-6277	29	13	the	the	DET
ejpam-6277	29	14	corresponding	corresponding	ADJ
ejpam-6277	29	15	ode	ode	PROPN
ejpam-6277	29	16	(	(	PUNCT
ejpam-6277	29	17	ρ	ρ	PROPN
ejpam-6277	29	18	(	(	PUNCT
ejpam-6277	29	19	s)x′	s)x′	PROPN
ejpam-6277	29	20	(	(	PUNCT
ejpam-6277	29	21	s	s	NOUN
ejpam-6277	29	22	)	)	PUNCT
ejpam-6277	29	23	)	)	PUNCT
ejpam-6277	29	24	′	′	X
ejpam-6277	30	1	+	+	CCONJ
ejpam-6277	30	2	q	q	X
ejpam-6277	30	3	(	(	PUNCT
ejpam-6277	30	4	s)x	s)x	X
ejpam-6277	30	5	(	(	PUNCT
ejpam-6277	30	6	s	s	X
ejpam-6277	30	7	)	)	PUNCT
ejpam-6277	30	8	=	=	SYM
ejpam-6277	30	9	0	0	X
ejpam-6277	30	10	.	.	PUNCT
ejpam-6277	30	11	(	(	PUNCT
ejpam-6277	30	12	3	3	X
ejpam-6277	30	13	)	)	PUNCT
ejpam-6277	30	14	equation	equation	NOUN
ejpam-6277	30	15	(	(	PUNCT
ejpam-6277	30	16	3	3	X
ejpam-6277	30	17	)	)	PUNCT
ejpam-6277	30	18	is	be	AUX
ejpam-6277	30	19	oscillatory	oscillatory	ADJ
ejpam-6277	30	20	if	if	SCONJ
ejpam-6277	30	21	ρ(s)λ	ρ(s)λ	NOUN
ejpam-6277	30	22	[	[	X
ejpam-6277	30	23	q	q	X
ejpam-6277	30	24	;	;	PUNCT
ejpam-6277	30	25	s,∞	s,∞	PROPN
ejpam-6277	30	26	]	]	PUNCT
ejpam-6277	30	27	≥	≥	X
ejpam-6277	30	28	δ0	δ0	NOUN
ejpam-6277	30	29	>	>	X
ejpam-6277	30	30	1	1	NUM
ejpam-6277	30	31	4	4	NUM
ejpam-6277	30	32	.	.	PUNCT
ejpam-6277	31	1	(	(	PUNCT
ejpam-6277	31	2	4	4	X
ejpam-6277	31	3	)	)	PUNCT
ejpam-6277	31	4	where	where	SCONJ
ejpam-6277	31	5	δ0	δ0	NOUN
ejpam-6277	31	6	is	be	AUX
ejpam-6277	31	7	a	a	DET
ejpam-6277	31	8	constant	constant	ADJ
ejpam-6277	31	9	;	;	PUNCT
ejpam-6277	31	10	however	however	ADV
ejpam-6277	31	11	,	,	PUNCT
ejpam-6277	31	12	this	this	DET
ejpam-6277	31	13	condition	condition	NOUN
ejpam-6277	31	14	is	be	AUX
ejpam-6277	31	15	better	well	ADV
ejpam-6277	31	16	suited	suit	VERB
ejpam-6277	31	17	for	for	ADP
ejpam-6277	31	18	odes	ode	NOUN
ejpam-6277	31	19	since	since	SCONJ
ejpam-6277	31	20	it	it	PRON
ejpam-6277	31	21	loses	lose	VERB
ejpam-6277	31	22	information	information	NOUN
ejpam-6277	31	23	on	on	ADP
ejpam-6277	31	24	the	the	DET
ejpam-6277	31	25	value	value	NOUN
ejpam-6277	31	26	of	of	ADP
ejpam-6277	31	27	advanced	advanced	ADJ
ejpam-6277	31	28	argument	argument	NOUN
ejpam-6277	31	29	h	h	NOUN
ejpam-6277	31	30	(	(	PUNCT
ejpam-6277	31	31	s	s	NOUN
ejpam-6277	31	32	)	)	PUNCT
ejpam-6277	31	33	.	.	PUNCT
ejpam-6277	32	1	in	in	ADP
ejpam-6277	32	2	[	[	X
ejpam-6277	32	3	19	19	NUM
ejpam-6277	32	4	]	]	PUNCT
ejpam-6277	32	5	,	,	PUNCT
ejpam-6277	32	6	džurina	džurina	PROPN
ejpam-6277	32	7	established	establish	VERB
ejpam-6277	32	8	oscillation	oscillation	NOUN
ejpam-6277	32	9	criteria	criterion	NOUN
ejpam-6277	32	10	for	for	ADP
ejpam-6277	32	11	equation	equation	NOUN
ejpam-6277	32	12	(	(	PUNCT
ejpam-6277	32	13	2	2	NUM
ejpam-6277	32	14	)	)	PUNCT
ejpam-6277	32	15	,	,	PUNCT
ejpam-6277	32	16	based	base	VERB
ejpam-6277	32	17	on	on	ADP
ejpam-6277	32	18	the	the	DET
ejpam-6277	32	19	related	relate	VERB
ejpam-6277	32	20	ode	ode	NOUN
ejpam-6277	32	21	(	(	PUNCT
ejpam-6277	32	22	3	3	NUM
ejpam-6277	32	23	)	)	PUNCT
ejpam-6277	32	24	,	,	PUNCT
ejpam-6277	32	25	and	and	CCONJ
ejpam-6277	32	26	he	he	PRON
ejpam-6277	32	27	attempted	attempt	VERB
ejpam-6277	32	28	to	to	PART
ejpam-6277	32	29	modify	modify	VERB
ejpam-6277	32	30	and	and	CCONJ
ejpam-6277	32	31	improve	improve	VERB
ejpam-6277	32	32	the	the	DET
ejpam-6277	32	33	condition	condition	NOUN
ejpam-6277	32	34	4	4	NUM
ejpam-6277	32	35	,	,	PUNCT
ejpam-6277	32	36	which	which	PRON
ejpam-6277	32	37	fails	fail	VERB
ejpam-6277	32	38	if	if	SCONJ
ejpam-6277	32	39	(	(	PUNCT
ejpam-6277	32	40	δ0	δ0	NOUN
ejpam-6277	32	41	≤	≤	NUM
ejpam-6277	32	42	1	1	NUM
ejpam-6277	32	43	4	4	NUM
ejpam-6277	32	44	)	)	PUNCT
ejpam-6277	32	45	.	.	PUNCT
ejpam-6277	33	1	he	he	PRON
ejpam-6277	33	2	used	use	VERB
ejpam-6277	33	3	the	the	DET
ejpam-6277	33	4	condition	condition	NOUN
ejpam-6277	33	5	ρ(s)λ	ρ(s)λ	NOUN
ejpam-6277	34	1	[	[	X
ejpam-6277	34	2	q	q	X
ejpam-6277	34	3	;	;	PUNCT
ejpam-6277	34	4	s,∞	s,∞	PROPN
ejpam-6277	34	5	]	]	PUNCT
ejpam-6277	34	6	≥	≥	X
ejpam-6277	34	7	δ0	δ0	NOUN
ejpam-6277	34	8	>	>	X
ejpam-6277	34	9	0	0	NUM
ejpam-6277	34	10	,	,	PUNCT
ejpam-6277	34	11	(	(	PUNCT
ejpam-6277	34	12	5	5	NUM
ejpam-6277	34	13	)	)	PUNCT
ejpam-6277	34	14	which	which	PRON
ejpam-6277	34	15	ensures	ensure	VERB
ejpam-6277	34	16	that	that	SCONJ
ejpam-6277	34	17	the	the	DET
ejpam-6277	34	18	equation	equation	NOUN
ejpam-6277	34	19	(	(	PUNCT
ejpam-6277	34	20	ρ(s)x′(s))′	ρ(s)x′(s))′	NOUN
ejpam-6277	34	21	+	+	CCONJ
ejpam-6277	34	22	(	(	PUNCT
ejpam-6277	34	23	ρ(h(s	ρ(h(s	PROPN
ejpam-6277	34	24	)	)	PUNCT
ejpam-6277	34	25	)	)	PUNCT
ejpam-6277	34	26	ρ(s	ρ(s	NOUN
ejpam-6277	34	27	)	)	PUNCT
ejpam-6277	34	28	)	)	PUNCT
ejpam-6277	34	29	δ	δ	PROPN
ejpam-6277	34	30	q(s)x(s	q(s)x(s	X
ejpam-6277	34	31	)	)	PUNCT
ejpam-6277	34	32	=	=	SYM
ejpam-6277	34	33	0	0	NUM
ejpam-6277	34	34	(	(	PUNCT
ejpam-6277	34	35	6	6	NUM
ejpam-6277	34	36	)	)	PUNCT
ejpam-6277	34	37	w.	w.	PROPN
ejpam-6277	34	38	alhaysuni	alhaysuni	PROPN
ejpam-6277	34	39	,	,	PUNCT
ejpam-6277	34	40	s.	s.	PROPN
ejpam-6277	34	41	f.	f.	PROPN
ejpam-6277	34	42	aljurbua	aljurbua	PROPN
ejpam-6277	34	43	,	,	PUNCT
ejpam-6277	34	44	o.	o.	PROPN
ejpam-6277	34	45	moaaz	moaaz	PROPN
ejpam-6277	34	46	/	/	SYM
ejpam-6277	34	47	eur	eur	PROPN
ejpam-6277	34	48	.	.	PUNCT
ejpam-6277	35	1	j.	j.	PROPN
ejpam-6277	35	2	pure	pure	PROPN
ejpam-6277	35	3	appl	appl	PROPN
ejpam-6277	35	4	.	.	PROPN
ejpam-6277	35	5	math	math	PROPN
ejpam-6277	35	6	,	,	PUNCT
ejpam-6277	35	7	18	18	NUM
ejpam-6277	35	8	(	(	PUNCT
ejpam-6277	35	9	3	3	NUM
ejpam-6277	35	10	)	)	PUNCT
ejpam-6277	35	11	(	(	PUNCT
ejpam-6277	35	12	2025	2025	NUM
ejpam-6277	35	13	)	)	PUNCT
ejpam-6277	35	14	,	,	PUNCT
ejpam-6277	35	15	6277	6277	NUM
ejpam-6277	35	16	3	3	NUM
ejpam-6277	35	17	of	of	ADP
ejpam-6277	35	18	11	11	NUM
ejpam-6277	35	19	is	be	AUX
ejpam-6277	35	20	oscillate	oscillate	ADJ
ejpam-6277	35	21	.	.	PUNCT
ejpam-6277	36	1	in	in	ADP
ejpam-6277	36	2	2020	2020	NUM
ejpam-6277	36	3	,	,	PUNCT
ejpam-6277	36	4	bohner	bohner	PROPN
ejpam-6277	36	5	et	et	PROPN
ejpam-6277	36	6	al	al	PROPN
ejpam-6277	36	7	.	.	PUNCT
ejpam-6277	37	1	[	[	X
ejpam-6277	37	2	12	12	NUM
ejpam-6277	37	3	]	]	PUNCT
ejpam-6277	37	4	developed	develop	VERB
ejpam-6277	37	5	the	the	DET
ejpam-6277	37	6	previous	previous	ADJ
ejpam-6277	37	7	works	work	NOUN
ejpam-6277	37	8	and	and	CCONJ
ejpam-6277	37	9	investigated	investigate	VERB
ejpam-6277	37	10	the	the	DET
ejpam-6277	37	11	oscillation	oscillation	NOUN
ejpam-6277	37	12	of	of	ADP
ejpam-6277	37	13	equation	equation	NOUN
ejpam-6277	37	14	(	(	PUNCT
ejpam-6277	37	15	2	2	NUM
ejpam-6277	37	16	)	)	PUNCT
ejpam-6277	37	17	in	in	ADP
ejpam-6277	37	18	the	the	DET
ejpam-6277	37	19	noncanonical	noncanonical	ADJ
ejpam-6277	37	20	case	case	NOUN
ejpam-6277	37	21	.	.	PUNCT
ejpam-6277	38	1	they	they	PRON
ejpam-6277	38	2	transformed	transform	VERB
ejpam-6277	38	3	it	it	PRON
ejpam-6277	38	4	into	into	ADP
ejpam-6277	38	5	an	an	DET
ejpam-6277	38	6	equation	equation	NOUN
ejpam-6277	38	7	in	in	ADP
ejpam-6277	38	8	canonical	canonical	ADJ
ejpam-6277	38	9	form	form	NOUN
ejpam-6277	38	10	.	.	PUNCT
ejpam-6277	39	1	2	2	X
ejpam-6277	39	2	.	.	X
ejpam-6277	39	3	main	main	ADJ
ejpam-6277	39	4	results	result	NOUN
ejpam-6277	39	5	as	as	ADP
ejpam-6277	39	6	usual	usual	ADJ
ejpam-6277	39	7	in	in	ADP
ejpam-6277	39	8	oscillation	oscillation	NOUN
ejpam-6277	39	9	theory	theory	NOUN
ejpam-6277	39	10	,	,	PUNCT
ejpam-6277	39	11	we	we	PRON
ejpam-6277	39	12	focus	focus	VERB
ejpam-6277	39	13	on	on	ADP
ejpam-6277	39	14	studying	study	VERB
ejpam-6277	39	15	the	the	DET
ejpam-6277	39	16	properties	property	NOUN
ejpam-6277	39	17	of	of	ADP
ejpam-6277	39	18	the	the	DET
ejpam-6277	39	19	positive	positive	ADJ
ejpam-6277	39	20	solutions	solution	NOUN
ejpam-6277	39	21	of	of	ADP
ejpam-6277	39	22	equation	equation	NOUN
ejpam-6277	39	23	(	(	PUNCT
ejpam-6277	39	24	1	1	NUM
ejpam-6277	39	25	)	)	PUNCT
ejpam-6277	39	26	.	.	PUNCT
ejpam-6277	40	1	we	we	PRON
ejpam-6277	40	2	directly	directly	ADV
ejpam-6277	40	3	exclude	exclude	VERB
ejpam-6277	40	4	the	the	DET
ejpam-6277	40	5	negative	negative	ADJ
ejpam-6277	40	6	solutions	solution	NOUN
ejpam-6277	40	7	due	due	ADP
ejpam-6277	40	8	to	to	ADP
ejpam-6277	40	9	their	their	PRON
ejpam-6277	40	10	symmetry	symmetry	NOUN
ejpam-6277	40	11	with	with	ADP
ejpam-6277	40	12	the	the	DET
ejpam-6277	40	13	positive	positive	ADJ
ejpam-6277	40	14	solutions	solution	NOUN
ejpam-6277	40	15	.	.	PUNCT
ejpam-6277	41	1	we	we	PRON
ejpam-6277	41	2	indicate	indicate	VERB
ejpam-6277	41	3	that	that	SCONJ
ejpam-6277	41	4	the	the	DET
ejpam-6277	41	5	solution	solution	NOUN
ejpam-6277	41	6	belongs	belong	VERB
ejpam-6277	41	7	to	to	ADP
ejpam-6277	41	8	the	the	DET
ejpam-6277	41	9	class	class	NOUN
ejpam-6277	41	10	of	of	ADP
ejpam-6277	41	11	eventually	eventually	ADV
ejpam-6277	41	12	positive	positive	ADJ
ejpam-6277	41	13	solutions	solution	NOUN
ejpam-6277	41	14	of	of	ADP
ejpam-6277	41	15	(	(	PUNCT
ejpam-6277	41	16	1	1	NUM
ejpam-6277	41	17	)	)	PUNCT
ejpam-6277	41	18	by	by	ADP
ejpam-6277	41	19	the	the	DET
ejpam-6277	41	20	expression	expression	NOUN
ejpam-6277	41	21	x	x	PUNCT
ejpam-6277	41	22	∈	∈	PROPN
ejpam-6277	41	23	x+	x+	ADJ
ejpam-6277	41	24	.	.	PUNCT
ejpam-6277	41	25	2.1	2.1	NUM
ejpam-6277	41	26	.	.	PUNCT
ejpam-6277	42	1	auxiliary	auxiliary	PROPN
ejpam-6277	42	2	lemmas	lemmas	PROPN
ejpam-6277	42	3	we	we	PRON
ejpam-6277	42	4	begin	begin	VERB
ejpam-6277	42	5	the	the	DET
ejpam-6277	42	6	main	main	ADJ
ejpam-6277	42	7	results	result	NOUN
ejpam-6277	42	8	with	with	ADP
ejpam-6277	42	9	the	the	DET
ejpam-6277	42	10	following	follow	VERB
ejpam-6277	42	11	lemmas	lemmas	PROPN
ejpam-6277	42	12	,	,	PUNCT
ejpam-6277	42	13	which	which	PRON
ejpam-6277	42	14	deduce	deduce	VERB
ejpam-6277	42	15	asymptotic	asymptotic	ADJ
ejpam-6277	42	16	and	and	CCONJ
ejpam-6277	42	17	monotonic	monotonic	ADJ
ejpam-6277	42	18	properties	property	NOUN
ejpam-6277	42	19	for	for	ADP
ejpam-6277	42	20	x	x	SYM
ejpam-6277	42	21	∈	∈	PROPN
ejpam-6277	42	22	x+	x+	PUNCT
ejpam-6277	42	23	and	and	CCONJ
ejpam-6277	42	24	transform	transform	VERB
ejpam-6277	42	25	the	the	DET
ejpam-6277	42	26	equation	equation	NOUN
ejpam-6277	42	27	(	(	PUNCT
ejpam-6277	42	28	1	1	NUM
ejpam-6277	42	29	)	)	PUNCT
ejpam-6277	42	30	into	into	ADP
ejpam-6277	42	31	a	a	DET
ejpam-6277	42	32	linear	linear	ADJ
ejpam-6277	42	33	equivalent	equivalent	ADJ
ejpam-6277	42	34	form	form	NOUN
ejpam-6277	42	35	(	(	PUNCT
ejpam-6277	42	36	in	in	ADP
ejpam-6277	42	37	oscillatory	oscillatory	ADJ
ejpam-6277	42	38	features	feature	NOUN
ejpam-6277	42	39	)	)	PUNCT
ejpam-6277	42	40	.	.	PUNCT
ejpam-6277	43	1	beginning	begin	VERB
ejpam-6277	43	2	by	by	ADP
ejpam-6277	43	3	the	the	DET
ejpam-6277	43	4	following	follow	VERB
ejpam-6277	43	5	lemma	lemma	PROPN
ejpam-6277	43	6	which	which	PRON
ejpam-6277	43	7	provides	provide	VERB
ejpam-6277	43	8	a	a	DET
ejpam-6277	43	9	criterion	criterion	NOUN
ejpam-6277	43	10	that	that	PRON
ejpam-6277	43	11	rules	rule	VERB
ejpam-6277	43	12	out	out	ADP
ejpam-6277	43	13	the	the	DET
ejpam-6277	43	14	existence	existence	NOUN
ejpam-6277	43	15	of	of	ADP
ejpam-6277	43	16	positive	positive	ADJ
ejpam-6277	43	17	increasing	increase	VERB
ejpam-6277	43	18	solutions	solution	NOUN
ejpam-6277	43	19	under	under	ADP
ejpam-6277	43	20	certain	certain	ADJ
ejpam-6277	43	21	conditions	condition	NOUN
ejpam-6277	43	22	.	.	PUNCT
ejpam-6277	44	1	this	this	DET
ejpam-6277	44	2	insight	insight	NOUN
ejpam-6277	44	3	plays	play	VERB
ejpam-6277	44	4	a	a	DET
ejpam-6277	44	5	crucial	crucial	ADJ
ejpam-6277	44	6	role	role	NOUN
ejpam-6277	44	7	in	in	ADP
ejpam-6277	44	8	the	the	DET
ejpam-6277	44	9	subsequent	subsequent	ADJ
ejpam-6277	44	10	analysis	analysis	NOUN
ejpam-6277	44	11	of	of	ADP
ejpam-6277	44	12	oscillatory	oscillatory	ADJ
ejpam-6277	44	13	behavior	behavior	NOUN
ejpam-6277	44	14	.	.	PUNCT
ejpam-6277	45	1	lemma	lemma	PROPN
ejpam-6277	45	2	1	1	X
ejpam-6277	45	3	.	.	PUNCT
ejpam-6277	45	4	assume	assume	VERB
ejpam-6277	45	5	that	that	SCONJ
ejpam-6277	45	6	x	x	SYM
ejpam-6277	45	7	∈	∈	PROPN
ejpam-6277	45	8	x+	x+	PROPN
ejpam-6277	45	9	.	.	PUNCT
ejpam-6277	46	1	then	then	ADV
ejpam-6277	46	2	x	x	X
ejpam-6277	46	3	is	be	AUX
ejpam-6277	46	4	decreasing	decrease	VERB
ejpam-6277	46	5	and	and	CCONJ
ejpam-6277	46	6	converging	converge	VERB
ejpam-6277	46	7	to	to	ADP
ejpam-6277	46	8	zero	zero	NUM
ejpam-6277	46	9	if	if	SCONJ
ejpam-6277	46	10	λ	λ	X
ejpam-6277	46	11	[	[	PUNCT
ejpam-6277	46	12	1	1	NUM
ejpam-6277	46	13	ρ1	ρ1	NOUN
ejpam-6277	46	14	/	/	SYM
ejpam-6277	46	15	κ	κ	NOUN
ejpam-6277	46	16	(	(	PUNCT
ejpam-6277	46	17	λ	λ	X
ejpam-6277	46	18	[	[	X
ejpam-6277	46	19	q	q	X
ejpam-6277	46	20	;	;	PUNCT
ejpam-6277	46	21	s0	s0	PROPN
ejpam-6277	46	22	,	,	PUNCT
ejpam-6277	46	23	s	s	PROPN
ejpam-6277	46	24	]	]	X
ejpam-6277	46	25	)	)	PUNCT
ejpam-6277	46	26	1	1	NUM
ejpam-6277	46	27	/	/	SYM
ejpam-6277	46	28	κ	κ	NOUN
ejpam-6277	46	29	;	;	PUNCT
ejpam-6277	46	30	s0,∞	s0,∞	X
ejpam-6277	46	31	]	]	PUNCT
ejpam-6277	46	32	=	=	SYM
ejpam-6277	46	33	∞.	∞.	PROPN
ejpam-6277	46	34	(	(	PUNCT
ejpam-6277	46	35	7	7	NUM
ejpam-6277	46	36	)	)	PUNCT
ejpam-6277	46	37	proof	proof	NOUN
ejpam-6277	46	38	.	.	PUNCT
ejpam-6277	47	1	assume	assume	VERB
ejpam-6277	47	2	that	that	SCONJ
ejpam-6277	47	3	x	x	SYM
ejpam-6277	47	4	∈	∈	PROPN
ejpam-6277	47	5	x+	x+	PROPN
ejpam-6277	47	6	.	.	PUNCT
ejpam-6277	48	1	therefore	therefore	ADV
ejpam-6277	48	2	,	,	PUNCT
ejpam-6277	48	3	there	there	PRON
ejpam-6277	48	4	is	be	VERB
ejpam-6277	48	5	a	a	DET
ejpam-6277	48	6	s1	s1	NOUN
ejpam-6277	48	7	≥	≥	NUM
ejpam-6277	48	8	s0	s0	NOUN
ejpam-6277	48	9	such	such	ADJ
ejpam-6277	48	10	that	that	SCONJ
ejpam-6277	48	11	x	x	X
ejpam-6277	48	12	(	(	PUNCT
ejpam-6277	48	13	h	h	NOUN
ejpam-6277	48	14	(	(	PUNCT
ejpam-6277	48	15	s	s	NOUN
ejpam-6277	48	16	)	)	PUNCT
ejpam-6277	48	17	)	)	PUNCT
ejpam-6277	48	18	>	>	X
ejpam-6277	48	19	0	0	NUM
ejpam-6277	48	20	,	,	PUNCT
ejpam-6277	48	21	and	and	CCONJ
ejpam-6277	48	22	so	so	ADV
ejpam-6277	48	23	(	(	PUNCT
ejpam-6277	48	24	ρ	ρ	PROPN
ejpam-6277	48	25	(	(	PUNCT
ejpam-6277	48	26	s	s	NOUN
ejpam-6277	48	27	)	)	PUNCT
ejpam-6277	48	28	[	[	PUNCT
ejpam-6277	48	29	x′	x′	PROPN
ejpam-6277	48	30	(	(	PUNCT
ejpam-6277	48	31	s	s	NOUN
ejpam-6277	48	32	)	)	PUNCT
ejpam-6277	48	33	]	]	X
ejpam-6277	48	34	κ)′	κ)′	NOUN
ejpam-6277	48	35	=	=	X
ejpam-6277	48	36	−q	−q	ADJ
ejpam-6277	48	37	(	(	PUNCT
ejpam-6277	48	38	s)xκ	s)xκ	PROPN
ejpam-6277	48	39	(	(	PUNCT
ejpam-6277	48	40	h	h	PROPN
ejpam-6277	48	41	(	(	PUNCT
ejpam-6277	48	42	s	s	NOUN
ejpam-6277	48	43	)	)	PUNCT
ejpam-6277	48	44	)	)	PUNCT
ejpam-6277	48	45	≤	≤	ADV
ejpam-6277	48	46	0	0	NUM
ejpam-6277	48	47	.	.	PUNCT
ejpam-6277	49	1	(	(	PUNCT
ejpam-6277	49	2	8)	8)	NUM
ejpam-6277	49	3	hence	hence	ADV
ejpam-6277	49	4	,	,	PUNCT
ejpam-6277	49	5	x′	x′	PROPN
ejpam-6277	49	6	is	be	AUX
ejpam-6277	49	7	of	of	ADP
ejpam-6277	49	8	fixed	fix	VERB
ejpam-6277	49	9	sign	sign	NOUN
ejpam-6277	49	10	.	.	PUNCT
ejpam-6277	50	1	now	now	ADV
ejpam-6277	50	2	,	,	PUNCT
ejpam-6277	50	3	let	let	VERB
ejpam-6277	50	4	x′	x′	PROPN
ejpam-6277	50	5	is	be	AUX
ejpam-6277	50	6	positive	positive	ADJ
ejpam-6277	50	7	for	for	ADP
ejpam-6277	50	8	s	s	PROPN
ejpam-6277	50	9	≥	≥	NOUN
ejpam-6277	50	10	s1	s1	NOUN
ejpam-6277	50	11	.	.	PUNCT
ejpam-6277	51	1	then	then	ADV
ejpam-6277	51	2	,	,	PUNCT
ejpam-6277	51	3	x	x	PUNCT
ejpam-6277	51	4	→	→	SYM
ejpam-6277	51	5	x0	x0	PROPN
ejpam-6277	51	6	as	as	ADP
ejpam-6277	51	7	s	s	PROPN
ejpam-6277	51	8	→	→	SYM
ejpam-6277	51	9	∞	∞	PROPN
ejpam-6277	51	10	,	,	PUNCT
ejpam-6277	51	11	where	where	SCONJ
ejpam-6277	51	12	x0	x0	PROPN
ejpam-6277	51	13	is	be	AUX
ejpam-6277	51	14	a	a	DET
ejpam-6277	51	15	positive	positive	ADJ
ejpam-6277	51	16	constant	constant	NOUN
ejpam-6277	51	17	.	.	PUNCT
ejpam-6277	52	1	we	we	PRON
ejpam-6277	52	2	also	also	ADV
ejpam-6277	52	3	conclude	conclude	VERB
ejpam-6277	52	4	that	that	DET
ejpam-6277	52	5	(	(	PUNCT
ejpam-6277	52	6	x	x	X
ejpam-6277	52	7	◦	◦	NOUN
ejpam-6277	52	8	h	h	NOUN
ejpam-6277	52	9	)	)	PUNCT
ejpam-6277	52	10	≥	≥	NOUN
ejpam-6277	52	11	x0	x0	PROPN
ejpam-6277	52	12	,	,	PUNCT
ejpam-6277	52	13	for	for	ADP
ejpam-6277	52	14	s	s	PROPN
ejpam-6277	52	15	≥	≥	NOUN
ejpam-6277	52	16	s1	s1	NOUN
ejpam-6277	52	17	.	.	PUNCT
ejpam-6277	53	1	before	before	ADP
ejpam-6277	53	2	proceeding	proceed	VERB
ejpam-6277	53	3	to	to	PART
ejpam-6277	53	4	prove	prove	VERB
ejpam-6277	53	5	that	that	SCONJ
ejpam-6277	53	6	x	x	PRON
ejpam-6277	53	7	is	be	AUX
ejpam-6277	53	8	decreasing	decrease	VERB
ejpam-6277	53	9	,	,	PUNCT
ejpam-6277	53	10	we	we	PRON
ejpam-6277	53	11	note	note	VERB
ejpam-6277	53	12	that	that	SCONJ
ejpam-6277	53	13	(	(	PUNCT
ejpam-6277	53	14	7	7	NUM
ejpam-6277	53	15	)	)	PUNCT
ejpam-6277	53	16	,	,	PUNCT
ejpam-6277	53	17	with	with	ADP
ejpam-6277	53	18	the	the	DET
ejpam-6277	53	19	fact	fact	NOUN
ejpam-6277	53	20	that	that	SCONJ
ejpam-6277	53	21	p	p	PRON
ejpam-6277	53	22	′	′	X
ejpam-6277	53	23	(	(	PUNCT
ejpam-6277	53	24	s	s	NOUN
ejpam-6277	53	25	)	)	PUNCT
ejpam-6277	53	26	≤	≤	NOUN
ejpam-6277	53	27	0	0	NUM
ejpam-6277	53	28	,	,	PUNCT
ejpam-6277	53	29	guarantees	guarantee	VERB
ejpam-6277	53	30	this	this	DET
ejpam-6277	53	31	λ	λ	PROPN
ejpam-6277	53	32	[	[	X
ejpam-6277	53	33	q	q	X
ejpam-6277	53	34	;	;	PUNCT
ejpam-6277	53	35	s0,∞	s0,∞	X
ejpam-6277	53	36	]	]	X
ejpam-6277	53	37	=	=	SYM
ejpam-6277	53	38	∞.	∞.	PROPN
ejpam-6277	53	39	(	(	PUNCT
ejpam-6277	53	40	9	9	NUM
ejpam-6277	53	41	)	)	PUNCT
ejpam-6277	53	42	applying	apply	VERB
ejpam-6277	53	43	λ	λ	PROPN
ejpam-6277	53	44	[	[	X
ejpam-6277	53	45	(	(	PUNCT
ejpam-6277	53	46	·	·	PUNCT
ejpam-6277	53	47	)	)	PUNCT
ejpam-6277	53	48	;	;	PUNCT
ejpam-6277	53	49	s1,∞	s1,∞	PROPN
ejpam-6277	53	50	]	]	PUNCT
ejpam-6277	53	51	on	on	ADP
ejpam-6277	53	52	(	(	PUNCT
ejpam-6277	53	53	8)	8)	NUM
ejpam-6277	53	54	,	,	PUNCT
ejpam-6277	53	55	we	we	PRON
ejpam-6277	53	56	obtain	obtain	VERB
ejpam-6277	53	57	ρ	ρ	PROPN
ejpam-6277	53	58	(	(	PUNCT
ejpam-6277	53	59	s1	s1	NOUN
ejpam-6277	53	60	)	)	PUNCT
ejpam-6277	53	61	[	[	PUNCT
ejpam-6277	53	62	x′	x′	PROPN
ejpam-6277	53	63	(	(	PUNCT
ejpam-6277	53	64	s1	s1	PROPN
ejpam-6277	53	65	)	)	PUNCT
ejpam-6277	53	66	]	]	PUNCT
ejpam-6277	53	67	κ	κ	X
ejpam-6277	53	68	≥	≥	X
ejpam-6277	53	69	λ	λ	X
ejpam-6277	53	70	[	[	X
ejpam-6277	53	71	q	q	X
ejpam-6277	53	72	·	·	PUNCT
ejpam-6277	53	73	(	(	PUNCT
ejpam-6277	53	74	xκ	xκ	NUM
ejpam-6277	53	75	◦	◦	NOUN
ejpam-6277	53	76	h	h	NOUN
ejpam-6277	53	77	)	)	PUNCT
ejpam-6277	53	78	;	;	PUNCT
ejpam-6277	53	79	s1,∞	s1,∞	PROPN
ejpam-6277	53	80	]	]	PUNCT
ejpam-6277	53	81	≥	≥	X
ejpam-6277	53	82	xκ0λ	xκ0λ	PUNCT
ejpam-6277	54	1	[	[	X
ejpam-6277	54	2	q	q	X
ejpam-6277	54	3	;	;	PUNCT
ejpam-6277	54	4	s1,∞	s1,∞	X
ejpam-6277	54	5	]	]	PUNCT
ejpam-6277	54	6	.	.	PUNCT
ejpam-6277	55	1	which	which	PRON
ejpam-6277	55	2	contradicts	contradict	VERB
ejpam-6277	55	3	to	to	ADP
ejpam-6277	55	4	(	(	PUNCT
ejpam-6277	55	5	9	9	NUM
ejpam-6277	55	6	)	)	PUNCT
ejpam-6277	55	7	.	.	PUNCT
ejpam-6277	56	1	so	so	ADV
ejpam-6277	56	2	,	,	PUNCT
ejpam-6277	56	3	x′	x′	PROPN
ejpam-6277	56	4	is	be	AUX
ejpam-6277	56	5	negative	negative	ADJ
ejpam-6277	56	6	for	for	ADP
ejpam-6277	56	7	s	s	PROPN
ejpam-6277	56	8	≥	≥	NOUN
ejpam-6277	56	9	s1	s1	NOUN
ejpam-6277	56	10	.	.	PUNCT
ejpam-6277	57	1	the	the	DET
ejpam-6277	57	2	positivity	positivity	NOUN
ejpam-6277	57	3	and	and	CCONJ
ejpam-6277	57	4	decreasing	decrease	VERB
ejpam-6277	57	5	of	of	ADP
ejpam-6277	57	6	x	x	PUNCT
ejpam-6277	57	7	ensures	ensure	VERB
ejpam-6277	57	8	its	its	PRON
ejpam-6277	57	9	convergence	convergence	NOUN
ejpam-6277	57	10	to	to	ADP
ejpam-6277	57	11	x1	x1	PROPN
ejpam-6277	57	12	≥	≥	NUM
ejpam-6277	57	13	0	0	NUM
ejpam-6277	57	14	.	.	PUNCT
ejpam-6277	57	15	suppose	suppose	VERB
ejpam-6277	58	1	that	that	SCONJ
ejpam-6277	58	2	x1	x1	PROPN
ejpam-6277	58	3	>	>	X
ejpam-6277	58	4	0	0	X
ejpam-6277	58	5	.	.	PUNCT
ejpam-6277	58	6	applying	apply	VERB
ejpam-6277	58	7	λ	λ	PROPN
ejpam-6277	58	8	[	[	X
ejpam-6277	58	9	(	(	PUNCT
ejpam-6277	58	10	·	·	PUNCT
ejpam-6277	58	11	)	)	PUNCT
ejpam-6277	58	12	;	;	PUNCT
ejpam-6277	58	13	s1	s1	NOUN
ejpam-6277	58	14	,	,	PUNCT
ejpam-6277	58	15	s	s	X
ejpam-6277	58	16	]	]	X
ejpam-6277	58	17	on	on	ADP
ejpam-6277	58	18	(	(	PUNCT
ejpam-6277	58	19	8)	8)	NUM
ejpam-6277	58	20	,	,	PUNCT
ejpam-6277	58	21	we	we	PRON
ejpam-6277	58	22	find	find	VERB
ejpam-6277	58	23	ρ	ρ	PROPN
ejpam-6277	58	24	(	(	PUNCT
ejpam-6277	58	25	s	s	NOUN
ejpam-6277	58	26	)	)	PUNCT
ejpam-6277	58	27	[	[	PUNCT
ejpam-6277	58	28	x′	x′	PROPN
ejpam-6277	58	29	(	(	PUNCT
ejpam-6277	58	30	s	s	NOUN
ejpam-6277	58	31	)	)	PUNCT
ejpam-6277	58	32	]	]	PUNCT
ejpam-6277	58	33	κ	κ	X
ejpam-6277	58	34	≤	≤	NUM
ejpam-6277	58	35	−λ	−λ	NOUN
ejpam-6277	59	1	[	[	X
ejpam-6277	59	2	q	q	X
ejpam-6277	59	3	·	·	PUNCT
ejpam-6277	59	4	(	(	PUNCT
ejpam-6277	59	5	xκ	xκ	NUM
ejpam-6277	59	6	◦	◦	NOUN
ejpam-6277	59	7	h	h	NOUN
ejpam-6277	59	8	)	)	PUNCT
ejpam-6277	59	9	;	;	PUNCT
ejpam-6277	59	10	s1	s1	NOUN
ejpam-6277	59	11	,	,	PUNCT
ejpam-6277	59	12	s	s	PROPN
ejpam-6277	59	13	]	]	X
ejpam-6277	59	14	w.	w.	PROPN
ejpam-6277	59	15	alhaysuni	alhaysuni	PROPN
ejpam-6277	59	16	,	,	PUNCT
ejpam-6277	59	17	s.	s.	PROPN
ejpam-6277	59	18	f.	f.	PROPN
ejpam-6277	59	19	aljurbua	aljurbua	PROPN
ejpam-6277	59	20	,	,	PUNCT
ejpam-6277	59	21	o.	o.	PROPN
ejpam-6277	59	22	moaaz	moaaz	PROPN
ejpam-6277	59	23	/	/	SYM
ejpam-6277	59	24	eur	eur	PROPN
ejpam-6277	59	25	.	.	PUNCT
ejpam-6277	60	1	j.	j.	PROPN
ejpam-6277	60	2	pure	pure	PROPN
ejpam-6277	60	3	appl	appl	PROPN
ejpam-6277	60	4	.	.	PROPN
ejpam-6277	60	5	math	math	PROPN
ejpam-6277	60	6	,	,	PUNCT
ejpam-6277	60	7	18	18	NUM
ejpam-6277	60	8	(	(	PUNCT
ejpam-6277	60	9	3	3	NUM
ejpam-6277	60	10	)	)	PUNCT
ejpam-6277	60	11	(	(	PUNCT
ejpam-6277	60	12	2025	2025	NUM
ejpam-6277	60	13	)	)	PUNCT
ejpam-6277	60	14	,	,	PUNCT
ejpam-6277	60	15	6277	6277	NUM
ejpam-6277	60	16	4	4	NUM
ejpam-6277	60	17	of	of	ADP
ejpam-6277	60	18	11	11	NUM
ejpam-6277	60	19	≤	≤	NUM
ejpam-6277	60	20	−xκ1λ	−xκ1λ	NOUN
ejpam-6277	60	21	[	[	X
ejpam-6277	60	22	q	q	X
ejpam-6277	60	23	;	;	PUNCT
ejpam-6277	60	24	s1	s1	NOUN
ejpam-6277	60	25	,	,	PUNCT
ejpam-6277	60	26	s	s	X
ejpam-6277	60	27	]	]	X
ejpam-6277	60	28	,	,	PUNCT
ejpam-6277	60	29	or	or	CCONJ
ejpam-6277	60	30	x′	x′	PROPN
ejpam-6277	60	31	(	(	PUNCT
ejpam-6277	60	32	s	s	NOUN
ejpam-6277	60	33	)	)	PUNCT
ejpam-6277	60	34	≤	≤	NOUN
ejpam-6277	60	35	−x1	−x1	NOUN
ejpam-6277	60	36	1	1	NUM
ejpam-6277	60	37	ρ1	ρ1	NOUN
ejpam-6277	60	38	/	/	SYM
ejpam-6277	60	39	κ	κ	X
ejpam-6277	60	40	(	(	PUNCT
ejpam-6277	60	41	s	s	NOUN
ejpam-6277	60	42	)	)	PUNCT
ejpam-6277	60	43	(	(	PUNCT
ejpam-6277	60	44	λ	λ	X
ejpam-6277	61	1	[	[	X
ejpam-6277	61	2	q	q	X
ejpam-6277	61	3	;	;	PUNCT
ejpam-6277	61	4	s1	s1	NOUN
ejpam-6277	61	5	,	,	PUNCT
ejpam-6277	61	6	s	s	PROPN
ejpam-6277	61	7	]	]	X
ejpam-6277	61	8	)	)	PUNCT
ejpam-6277	61	9	1	1	NUM
ejpam-6277	61	10	/	/	SYM
ejpam-6277	61	11	κ	κ	NOUN
ejpam-6277	61	12	.	.	PUNCT
ejpam-6277	62	1	(	(	PUNCT
ejpam-6277	62	2	10	10	NUM
ejpam-6277	62	3	)	)	PUNCT
ejpam-6277	62	4	applying	apply	VERB
ejpam-6277	62	5	λ	λ	PROPN
ejpam-6277	62	6	[	[	X
ejpam-6277	62	7	(	(	PUNCT
ejpam-6277	62	8	·	·	PUNCT
ejpam-6277	62	9	)	)	PUNCT
ejpam-6277	62	10	;	;	PUNCT
ejpam-6277	62	11	s1,∞	s1,∞	PROPN
ejpam-6277	62	12	]	]	PUNCT
ejpam-6277	62	13	on	on	ADP
ejpam-6277	62	14	(	(	PUNCT
ejpam-6277	62	15	10	10	NUM
ejpam-6277	62	16	)	)	PUNCT
ejpam-6277	62	17	,	,	PUNCT
ejpam-6277	62	18	we	we	PRON
ejpam-6277	62	19	arrive	arrive	VERB
ejpam-6277	62	20	at	at	ADP
ejpam-6277	62	21	x	x	X
ejpam-6277	62	22	(	(	PUNCT
ejpam-6277	62	23	s1	s1	NOUN
ejpam-6277	62	24	)	)	PUNCT
ejpam-6277	62	25	≥	≥	NOUN
ejpam-6277	62	26	x1λ	x1λ	X
ejpam-6277	63	1	[	[	PUNCT
ejpam-6277	63	2	1	1	NUM
ejpam-6277	63	3	ρ1	ρ1	NOUN
ejpam-6277	63	4	/	/	SYM
ejpam-6277	63	5	κ	κ	NOUN
ejpam-6277	63	6	(	(	PUNCT
ejpam-6277	63	7	λ	λ	X
ejpam-6277	63	8	[	[	X
ejpam-6277	63	9	q	q	X
ejpam-6277	63	10	;	;	PUNCT
ejpam-6277	63	11	s1	s1	NOUN
ejpam-6277	63	12	,	,	PUNCT
ejpam-6277	63	13	s	s	PROPN
ejpam-6277	63	14	]	]	X
ejpam-6277	63	15	)	)	PUNCT
ejpam-6277	63	16	1	1	NUM
ejpam-6277	63	17	/	/	SYM
ejpam-6277	63	18	κ	κ	NOUN
ejpam-6277	63	19	;	;	PUNCT
ejpam-6277	63	20	s1,∞	s1,∞	PROPN
ejpam-6277	63	21	]	]	PUNCT
ejpam-6277	63	22	,	,	PUNCT
ejpam-6277	63	23	which	which	PRON
ejpam-6277	63	24	contradicts	contradict	VERB
ejpam-6277	63	25	to	to	ADP
ejpam-6277	63	26	(	(	PUNCT
ejpam-6277	63	27	7	7	NUM
ejpam-6277	63	28	)	)	PUNCT
ejpam-6277	63	29	.	.	PUNCT
ejpam-6277	64	1	therefore	therefore	ADV
ejpam-6277	64	2	,	,	PUNCT
ejpam-6277	64	3	x1	x1	PROPN
ejpam-6277	64	4	=	=	NOUN
ejpam-6277	64	5	0	0	X
ejpam-6277	64	6	.	.	PUNCT
ejpam-6277	65	1	the	the	DET
ejpam-6277	65	2	proof	proof	NOUN
ejpam-6277	65	3	is	be	AUX
ejpam-6277	65	4	complete	complete	ADJ
ejpam-6277	65	5	.	.	PUNCT
ejpam-6277	66	1	lemma	lemma	PROPN
ejpam-6277	66	2	2	2	X
ejpam-6277	66	3	.	.	PROPN
ejpam-6277	66	4	assume	assume	VERB
ejpam-6277	66	5	that	that	SCONJ
ejpam-6277	66	6	(	(	PUNCT
ejpam-6277	66	7	7	7	X
ejpam-6277	66	8	)	)	PUNCT
ejpam-6277	66	9	holds	hold	NOUN
ejpam-6277	66	10	.	.	PUNCT
ejpam-6277	67	1	then	then	ADV
ejpam-6277	67	2	d	d	X
ejpam-6277	67	3	ds	ds	X
ejpam-6277	67	4	(	(	PUNCT
ejpam-6277	67	5	x	x	SYM
ejpam-6277	67	6	p	p	NOUN
ejpam-6277	67	7	)	)	PUNCT
ejpam-6277	67	8	≥	≥	NOUN
ejpam-6277	67	9	0	0	NUM
ejpam-6277	67	10	(	(	PUNCT
ejpam-6277	67	11	11	11	NUM
ejpam-6277	67	12	)	)	PUNCT
ejpam-6277	67	13	and	and	CCONJ
ejpam-6277	67	14	(	(	PUNCT
ejpam-6277	67	15	ρ1	ρ1	PROPN
ejpam-6277	67	16	/	/	SYM
ejpam-6277	67	17	κ	κ	X
ejpam-6277	67	18	·	·	PUNCT
ejpam-6277	67	19	x′	x′	PUNCT
ejpam-6277	67	20	)	)	PUNCT
ejpam-6277	67	21	′	′	NUM
ejpam-6277	68	1	+	+	CCONJ
ejpam-6277	68	2	1	1	NUM
ejpam-6277	68	3	κ	κ	NOUN
ejpam-6277	68	4	q	q	NOUN
ejpam-6277	68	5	·	·	PUNCT
ejpam-6277	68	6	(	(	PUNCT
ejpam-6277	68	7	p	p	NOUN
ejpam-6277	68	8	◦	◦	NOUN
ejpam-6277	68	9	h)κ−1	h)κ−1	NOUN
ejpam-6277	68	10	·	·	PUNCT
ejpam-6277	68	11	(	(	PUNCT
ejpam-6277	68	12	x	x	PUNCT
ejpam-6277	68	13	◦	◦	NOUN
ejpam-6277	68	14	h	h	NOUN
ejpam-6277	68	15	)	)	PUNCT
ejpam-6277	68	16	≤	≤	NOUN
ejpam-6277	68	17	0	0	NUM
ejpam-6277	68	18	.	.	PUNCT
ejpam-6277	69	1	(	(	PUNCT
ejpam-6277	69	2	12	12	NUM
ejpam-6277	69	3	)	)	PUNCT
ejpam-6277	69	4	proof	proof	NOUN
ejpam-6277	69	5	.	.	PUNCT
ejpam-6277	70	1	assume	assume	VERB
ejpam-6277	70	2	that	that	SCONJ
ejpam-6277	70	3	x	x	SYM
ejpam-6277	70	4	∈	∈	PROPN
ejpam-6277	70	5	x+	x+	PUNCT
ejpam-6277	70	6	.	.	PUNCT
ejpam-6277	71	1	we	we	PRON
ejpam-6277	71	2	have	have	VERB
ejpam-6277	71	3	−x	−x	NUM
ejpam-6277	71	4	(	(	PUNCT
ejpam-6277	71	5	s	s	NOUN
ejpam-6277	71	6	)	)	PUNCT
ejpam-6277	71	7	=	=	SYM
ejpam-6277	71	8	λ	λ	PROPN
ejpam-6277	71	9	[	[	PUNCT
ejpam-6277	71	10	x′	x′	NUM
ejpam-6277	71	11	;	;	PUNCT
ejpam-6277	71	12	s,∞	s,∞	PROPN
ejpam-6277	71	13	]	]	PUNCT
ejpam-6277	71	14	=	=	PUNCT
ejpam-6277	71	15	λ	λ	X
ejpam-6277	71	16	[	[	PUNCT
ejpam-6277	71	17	ρ1	ρ1	NOUN
ejpam-6277	71	18	/	/	SYM
ejpam-6277	71	19	κ	κ	X
ejpam-6277	71	20	·	·	PUNCT
ejpam-6277	71	21	x′	x′	PROPN
ejpam-6277	71	22	ρ1	ρ1	PROPN
ejpam-6277	71	23	/	/	SYM
ejpam-6277	71	24	κ	κ	NOUN
ejpam-6277	71	25	;	;	PUNCT
ejpam-6277	71	26	s,∞	s,∞	PROPN
ejpam-6277	71	27	]	]	PUNCT
ejpam-6277	71	28	≤	≤	NUM
ejpam-6277	71	29	ρ1	ρ1	PROPN
ejpam-6277	71	30	/	/	SYM
ejpam-6277	71	31	κ	κ	PROPN
ejpam-6277	71	32	(	(	PUNCT
ejpam-6277	71	33	s)x′	s)x′	NOUN
ejpam-6277	71	34	(	(	PUNCT
ejpam-6277	71	35	s)p	s)p	X
ejpam-6277	71	36	(	(	PUNCT
ejpam-6277	71	37	s	s	NOUN
ejpam-6277	71	38	)	)	PUNCT
ejpam-6277	71	39	.	.	PUNCT
ejpam-6277	72	1	so	so	ADV
ejpam-6277	72	2	,	,	PUNCT
ejpam-6277	72	3	d	d	X
ejpam-6277	72	4	ds	ds	X
ejpam-6277	72	5	(	(	PUNCT
ejpam-6277	72	6	x	x	X
ejpam-6277	72	7	p	p	NOUN
ejpam-6277	72	8	)	)	PUNCT
ejpam-6277	73	1	=	=	SYM
ejpam-6277	73	2	p	p	PROPN
ejpam-6277	73	3	·	·	PUNCT
ejpam-6277	73	4	ρ1	ρ1	PROPN
ejpam-6277	73	5	/	/	SYM
ejpam-6277	73	6	κ	κ	NOUN
ejpam-6277	73	7	·	·	PUNCT
ejpam-6277	73	8	x′	x′	PUNCT
ejpam-6277	74	1	+	+	CCONJ
ejpam-6277	74	2	x	x	PROPN
ejpam-6277	74	3	ρ1	ρ1	PROPN
ejpam-6277	74	4	/	/	SYM
ejpam-6277	74	5	κ	κ	NOUN
ejpam-6277	74	6	·	·	PUNCT
ejpam-6277	74	7	p2	p2	X
ejpam-6277	74	8	≥	≥	NOUN
ejpam-6277	74	9	0	0	NUM
ejpam-6277	74	10	.	.	PUNCT
ejpam-6277	75	1	thus	thus	ADV
ejpam-6277	75	2	,	,	PUNCT
ejpam-6277	75	3	from	from	ADP
ejpam-6277	75	4	the	the	DET
ejpam-6277	75	5	fact	fact	NOUN
ejpam-6277	75	6	that	that	SCONJ
ejpam-6277	75	7	h	h	NOUN
ejpam-6277	75	8	(	(	PUNCT
ejpam-6277	75	9	s	s	NOUN
ejpam-6277	75	10	)	)	PUNCT
ejpam-6277	75	11	≥	≥	NUM
ejpam-6277	75	12	s	s	X
ejpam-6277	75	13	,	,	PUNCT
ejpam-6277	75	14	we	we	PRON
ejpam-6277	75	15	have	have	AUX
ejpam-6277	75	16	(	(	PUNCT
ejpam-6277	75	17	x	x	PART
ejpam-6277	75	18	◦	◦	NOUN
ejpam-6277	75	19	h	h	NOUN
ejpam-6277	75	20	)	)	PUNCT
ejpam-6277	75	21	(	(	PUNCT
ejpam-6277	75	22	p	p	NOUN
ejpam-6277	75	23	◦	◦	NOUN
ejpam-6277	75	24	h	h	NOUN
ejpam-6277	75	25	)	)	PUNCT
ejpam-6277	75	26	≥	≥	NOUN
ejpam-6277	75	27	x	x	X
ejpam-6277	76	1	p	p	NOUN
ejpam-6277	76	2	≥	≥	NUM
ejpam-6277	76	3	ρ1	ρ1	NOUN
ejpam-6277	76	4	/	/	SYM
ejpam-6277	76	5	κ	κ	NOUN
ejpam-6277	76	6	·	·	PUNCT
ejpam-6277	76	7	(	(	PUNCT
ejpam-6277	76	8	−x′	−x′	PROPN
ejpam-6277	76	9	)	)	PUNCT
ejpam-6277	76	10	,	,	PUNCT
ejpam-6277	76	11	(	(	PUNCT
ejpam-6277	76	12	13	13	NUM
ejpam-6277	76	13	)	)	PUNCT
ejpam-6277	76	14	and	and	CCONJ
ejpam-6277	76	15	so	so	ADV
ejpam-6277	76	16	(	(	PUNCT
ejpam-6277	76	17	(	(	PUNCT
ejpam-6277	76	18	x	x	PART
ejpam-6277	76	19	◦	◦	NOUN
ejpam-6277	76	20	h	h	NOUN
ejpam-6277	76	21	)	)	PUNCT
ejpam-6277	76	22	(	(	PUNCT
ejpam-6277	76	23	p	p	NOUN
ejpam-6277	76	24	◦	◦	NOUN
ejpam-6277	76	25	h	h	NOUN
ejpam-6277	76	26	)	)	PUNCT
ejpam-6277	76	27	)	)	PUNCT
ejpam-6277	76	28	1−κ	1−κ	NUM
ejpam-6277	76	29	≤	≤	NOUN
ejpam-6277	76	30	[	[	PUNCT
ejpam-6277	76	31	ρ	ρ	NOUN
ejpam-6277	76	32	·	·	PUNCT
ejpam-6277	76	33	(	(	PUNCT
ejpam-6277	76	34	−x′	−x′	NOUN
ejpam-6277	76	35	)	)	PUNCT
ejpam-6277	77	1	κ]1	κ]1	PROPN
ejpam-6277	77	2	/	/	SYM
ejpam-6277	77	3	κ−1	κ−1	PROPN
ejpam-6277	77	4	.	.	PUNCT
ejpam-6277	78	1	(	(	PUNCT
ejpam-6277	78	2	14	14	NUM
ejpam-6277	78	3	)	)	PUNCT
ejpam-6277	78	4	now	now	ADV
ejpam-6277	78	5	,	,	PUNCT
ejpam-6277	78	6	it	it	PRON
ejpam-6277	78	7	follows	follow	VERB
ejpam-6277	78	8	from	from	ADP
ejpam-6277	78	9	(	(	PUNCT
ejpam-6277	78	10	1	1	NUM
ejpam-6277	78	11	)	)	PUNCT
ejpam-6277	78	12	and	and	CCONJ
ejpam-6277	78	13	(	(	PUNCT
ejpam-6277	78	14	14	14	NUM
ejpam-6277	78	15	)	)	PUNCT
ejpam-6277	79	1	that	that	PRON
ejpam-6277	79	2	(	(	PUNCT
ejpam-6277	79	3	ρ1	ρ1	NOUN
ejpam-6277	79	4	/	/	SYM
ejpam-6277	79	5	κ	κ	NOUN
ejpam-6277	79	6	·	·	PUNCT
ejpam-6277	79	7	(	(	PUNCT
ejpam-6277	79	8	−x′	−x′	NOUN
ejpam-6277	79	9	)	)	PUNCT
ejpam-6277	79	10	)	)	PUNCT
ejpam-6277	79	11	′	′	NUM
ejpam-6277	80	1	=	=	PUNCT
ejpam-6277	80	2	(	(	PUNCT
ejpam-6277	80	3	[	[	PUNCT
ejpam-6277	80	4	ρ	ρ	PROPN
ejpam-6277	80	5	·	·	PUNCT
ejpam-6277	80	6	(	(	PUNCT
ejpam-6277	80	7	−x′	−x′	NOUN
ejpam-6277	80	8	)	)	PUNCT
ejpam-6277	80	9	κ]1	κ]1	PROPN
ejpam-6277	80	10	/	/	SYM
ejpam-6277	80	11	κ)′	κ)′	NOUN
ejpam-6277	80	12	=	=	SYM
ejpam-6277	80	13	1	1	NUM
ejpam-6277	80	14	κ	κ	X
ejpam-6277	80	15	[	[	PUNCT
ejpam-6277	80	16	ρ	ρ	PROPN
ejpam-6277	80	17	·	·	PUNCT
ejpam-6277	80	18	(	(	PUNCT
ejpam-6277	80	19	−x′	−x′	NOUN
ejpam-6277	80	20	)	)	PUNCT
ejpam-6277	80	21	κ]1	κ]1	PROPN
ejpam-6277	80	22	/	/	SYM
ejpam-6277	80	23	κ−1	κ−1	PROPN
ejpam-6277	80	24	(	(	PUNCT
ejpam-6277	80	25	ρ	ρ	PROPN
ejpam-6277	80	26	·	·	PUNCT
ejpam-6277	80	27	(	(	PUNCT
ejpam-6277	80	28	−x′	−x′	NOUN
ejpam-6277	80	29	)	)	PUNCT
ejpam-6277	80	30	κ)′	κ)′	PROPN
ejpam-6277	80	31	≥	≥	NOUN
ejpam-6277	80	32	1	1	NUM
ejpam-6277	80	33	κ	κ	NOUN
ejpam-6277	80	34	(	(	PUNCT
ejpam-6277	80	35	(	(	PUNCT
ejpam-6277	80	36	x	x	SYM
ejpam-6277	80	37	◦	◦	NOUN
ejpam-6277	80	38	h	h	NOUN
ejpam-6277	80	39	)	)	PUNCT
ejpam-6277	80	40	(	(	PUNCT
ejpam-6277	80	41	p	p	NOUN
ejpam-6277	80	42	◦	◦	NOUN
ejpam-6277	80	43	h	h	NOUN
ejpam-6277	80	44	)	)	PUNCT
ejpam-6277	80	45	)	)	PUNCT
ejpam-6277	80	46	1−κ	1−κ	NUM
ejpam-6277	80	47	q	q	X
ejpam-6277	80	48	·	·	PUNCT
ejpam-6277	80	49	(	(	PUNCT
ejpam-6277	80	50	xκ	xκ	NUM
ejpam-6277	80	51	◦	◦	NOUN
ejpam-6277	80	52	h	h	NOUN
ejpam-6277	80	53	)	)	PUNCT
ejpam-6277	80	54	=	=	SYM
ejpam-6277	81	1	1	1	NUM
ejpam-6277	81	2	κ	κ	NOUN
ejpam-6277	81	3	q	q	NOUN
ejpam-6277	81	4	·	·	PUNCT
ejpam-6277	81	5	(	(	PUNCT
ejpam-6277	81	6	p	p	NOUN
ejpam-6277	81	7	◦	◦	NOUN
ejpam-6277	81	8	h)κ−1	h)κ−1	NOUN
ejpam-6277	81	9	·	·	PUNCT
ejpam-6277	81	10	(	(	PUNCT
ejpam-6277	81	11	x	x	PUNCT
ejpam-6277	81	12	◦	◦	NOUN
ejpam-6277	81	13	h	h	NOUN
ejpam-6277	81	14	)	)	PUNCT
ejpam-6277	81	15	.	.	PUNCT
ejpam-6277	82	1	the	the	DET
ejpam-6277	82	2	proof	proof	NOUN
ejpam-6277	82	3	is	be	AUX
ejpam-6277	82	4	complete	complete	ADJ
ejpam-6277	82	5	.	.	PUNCT
ejpam-6277	83	1	w.	w.	PROPN
ejpam-6277	83	2	alhaysuni	alhaysuni	PROPN
ejpam-6277	83	3	,	,	PUNCT
ejpam-6277	83	4	s.	s.	PROPN
ejpam-6277	83	5	f.	f.	PROPN
ejpam-6277	83	6	aljurbua	aljurbua	PROPN
ejpam-6277	83	7	,	,	PUNCT
ejpam-6277	83	8	o.	o.	PROPN
ejpam-6277	83	9	moaaz	moaaz	PROPN
ejpam-6277	83	10	/	/	SYM
ejpam-6277	83	11	eur	eur	PROPN
ejpam-6277	83	12	.	.	PUNCT
ejpam-6277	84	1	j.	j.	PROPN
ejpam-6277	84	2	pure	pure	PROPN
ejpam-6277	84	3	appl	appl	PROPN
ejpam-6277	84	4	.	.	PROPN
ejpam-6277	84	5	math	math	PROPN
ejpam-6277	84	6	,	,	PUNCT
ejpam-6277	84	7	18	18	NUM
ejpam-6277	84	8	(	(	PUNCT
ejpam-6277	84	9	3	3	NUM
ejpam-6277	84	10	)	)	PUNCT
ejpam-6277	84	11	(	(	PUNCT
ejpam-6277	84	12	2025	2025	NUM
ejpam-6277	84	13	)	)	PUNCT
ejpam-6277	84	14	,	,	PUNCT
ejpam-6277	84	15	6277	6277	NUM
ejpam-6277	84	16	5	5	NUM
ejpam-6277	84	17	of	of	ADP
ejpam-6277	84	18	11	11	NUM
ejpam-6277	84	19	lemma	lemma	PROPN
ejpam-6277	84	20	3	3	X
ejpam-6277	84	21	.	.	PUNCT
ejpam-6277	84	22	assume	assume	VERB
ejpam-6277	84	23	that	that	SCONJ
ejpam-6277	84	24	(	(	PUNCT
ejpam-6277	84	25	7	7	X
ejpam-6277	84	26	)	)	PUNCT
ejpam-6277	84	27	holds	hold	NOUN
ejpam-6277	84	28	.	.	PUNCT
ejpam-6277	85	1	then	then	ADV
ejpam-6277	85	2	(	(	PUNCT
ejpam-6277	85	3	ρ1	ρ1	PROPN
ejpam-6277	85	4	/	/	SYM
ejpam-6277	85	5	κ	κ	NOUN
ejpam-6277	85	6	·	·	PUNCT
ejpam-6277	85	7	p2	p2	X
ejpam-6277	85	8	·	·	PUNCT
ejpam-6277	85	9	(	(	PUNCT
ejpam-6277	85	10	x	x	SYM
ejpam-6277	85	11	p	p	NOUN
ejpam-6277	85	12	)	)	PUNCT
ejpam-6277	85	13	′)′	′)′	PUNCT
ejpam-6277	86	1	+	+	CCONJ
ejpam-6277	86	2	1	1	NUM
ejpam-6277	86	3	κ	κ	X
ejpam-6277	86	4	q	q	NOUN
ejpam-6277	86	5	·	·	PUNCT
ejpam-6277	86	6	p	p	X
ejpam-6277	86	7	·	·	PUNCT
ejpam-6277	86	8	(	(	PUNCT
ejpam-6277	86	9	p	p	NOUN
ejpam-6277	86	10	◦	◦	NOUN
ejpam-6277	86	11	h)κ−1	h)κ−1	NOUN
ejpam-6277	86	12	·	·	PUNCT
ejpam-6277	86	13	(	(	PUNCT
ejpam-6277	86	14	x	x	PUNCT
ejpam-6277	86	15	◦	◦	NOUN
ejpam-6277	86	16	h	h	NOUN
ejpam-6277	86	17	)	)	PUNCT
ejpam-6277	86	18	≤	≤	NOUN
ejpam-6277	86	19	0	0	NUM
ejpam-6277	86	20	.	.	PUNCT
ejpam-6277	86	21	(	(	PUNCT
ejpam-6277	86	22	15	15	NUM
ejpam-6277	86	23	)	)	PUNCT
ejpam-6277	86	24	proof	proof	NOUN
ejpam-6277	86	25	.	.	PUNCT
ejpam-6277	87	1	assume	assume	VERB
ejpam-6277	87	2	that	that	SCONJ
ejpam-6277	87	3	x	x	SYM
ejpam-6277	87	4	∈	∈	PROPN
ejpam-6277	87	5	x+	x+	PUNCT
ejpam-6277	87	6	.	.	PUNCT
ejpam-6277	88	1	it	it	PRON
ejpam-6277	88	2	follows	follow	VERB
ejpam-6277	88	3	that	that	SCONJ
ejpam-6277	88	4	d	d	PROPN
ejpam-6277	88	5	ds	ds	X
ejpam-6277	88	6	(	(	PUNCT
ejpam-6277	88	7	ρ1	ρ1	PROPN
ejpam-6277	88	8	/	/	SYM
ejpam-6277	88	9	κ	κ	NOUN
ejpam-6277	88	10	·	·	PUNCT
ejpam-6277	88	11	p2	p2	X
ejpam-6277	88	12	·	·	PUNCT
ejpam-6277	89	1	d	d	X
ejpam-6277	89	2	ds	ds	X
ejpam-6277	89	3	(	(	PUNCT
ejpam-6277	89	4	x	x	X
ejpam-6277	89	5	p	p	NOUN
ejpam-6277	89	6	)	)	PUNCT
ejpam-6277	89	7	)	)	PUNCT
ejpam-6277	90	1	=	=	PUNCT
ejpam-6277	90	2	d	d	X
ejpam-6277	90	3	ds	ds	X
ejpam-6277	90	4	(	(	PUNCT
ejpam-6277	90	5	ρ1	ρ1	PROPN
ejpam-6277	90	6	/	/	SYM
ejpam-6277	90	7	κ	κ	NOUN
ejpam-6277	90	8	·	·	PUNCT
ejpam-6277	90	9	p2	p2	X
ejpam-6277	90	10	·	·	PUNCT
ejpam-6277	90	11	(	(	PUNCT
ejpam-6277	90	12	p	p	X
ejpam-6277	90	13	·	·	PUNCT
ejpam-6277	90	14	x′	x′	PROPN
ejpam-6277	91	1	+	+	NUM
ejpam-6277	91	2	ρ−1	ρ−1	PROPN
ejpam-6277	91	3	/	/	SYM
ejpam-6277	91	4	κx	κx	PROPN
ejpam-6277	91	5	p2	p2	PROPN
ejpam-6277	91	6	)	)	PUNCT
ejpam-6277	91	7	)	)	PUNCT
ejpam-6277	92	1	=	=	PUNCT
ejpam-6277	92	2	d	d	NOUN
ejpam-6277	92	3	ds	ds	X
ejpam-6277	92	4	(	(	PUNCT
ejpam-6277	92	5	p	p	X
ejpam-6277	92	6	·	·	PUNCT
ejpam-6277	92	7	ρ1	ρ1	PROPN
ejpam-6277	92	8	/	/	SYM
ejpam-6277	92	9	κ	κ	NOUN
ejpam-6277	92	10	·	·	PUNCT
ejpam-6277	92	11	x′	x′	PUNCT
ejpam-6277	93	1	+	+	NUM
ejpam-6277	93	2	x	x	X
ejpam-6277	93	3	)	)	PUNCT
ejpam-6277	94	1	=	=	SYM
ejpam-6277	94	2	p	p	NOUN
ejpam-6277	94	3	·	·	PUNCT
ejpam-6277	94	4	(	(	PUNCT
ejpam-6277	94	5	ρ1	ρ1	NOUN
ejpam-6277	94	6	/	/	SYM
ejpam-6277	94	7	κ	κ	X
ejpam-6277	94	8	·	·	PUNCT
ejpam-6277	94	9	x′	x′	PUNCT
ejpam-6277	94	10	)	)	PUNCT
ejpam-6277	95	1	′	′	NUM
ejpam-6277	96	1	−	−	PROPN
ejpam-6277	96	2	ρ−1	ρ−1	PROPN
ejpam-6277	96	3	/	/	SYM
ejpam-6277	96	4	κ	κ	PROPN
ejpam-6277	96	5	·	·	PUNCT
ejpam-6277	96	6	ρ1	ρ1	PROPN
ejpam-6277	96	7	/	/	SYM
ejpam-6277	96	8	κ	κ	NOUN
ejpam-6277	96	9	·	·	PUNCT
ejpam-6277	96	10	x′	x′	PROPN
ejpam-6277	97	1	+	+	PUNCT
ejpam-6277	97	2	x′	x′	PUNCT
ejpam-6277	98	1	=	=	SYM
ejpam-6277	98	2	p	p	PROPN
ejpam-6277	98	3	·	·	PUNCT
ejpam-6277	98	4	(	(	PUNCT
ejpam-6277	98	5	ρ1	ρ1	NOUN
ejpam-6277	98	6	/	/	SYM
ejpam-6277	98	7	κ	κ	X
ejpam-6277	98	8	·	·	PUNCT
ejpam-6277	98	9	x′	x′	PUNCT
ejpam-6277	98	10	)	)	PUNCT
ejpam-6277	98	11	′	′	NUM
ejpam-6277	98	12	.	.	PUNCT
ejpam-6277	99	1	so	so	ADV
ejpam-6277	99	2	,	,	PUNCT
ejpam-6277	99	3	equation	equation	NOUN
ejpam-6277	99	4	(	(	PUNCT
ejpam-6277	99	5	1	1	X
ejpam-6277	99	6	)	)	PUNCT
ejpam-6277	99	7	reduces	reduce	VERB
ejpam-6277	99	8	to	to	PART
ejpam-6277	99	9	(	(	PUNCT
ejpam-6277	99	10	ρ1	ρ1	NOUN
ejpam-6277	99	11	/	/	SYM
ejpam-6277	99	12	κ	κ	NOUN
ejpam-6277	99	13	·	·	PUNCT
ejpam-6277	99	14	p2	p2	X
ejpam-6277	99	15	·	·	PUNCT
ejpam-6277	100	1	(	(	PUNCT
ejpam-6277	100	2	x	x	SYM
ejpam-6277	100	3	p	p	NOUN
ejpam-6277	100	4	)	)	PUNCT
ejpam-6277	100	5	′)′	′)′	PROPN
ejpam-6277	101	1	≤	≤	NUM
ejpam-6277	101	2	−1	−1	NOUN
ejpam-6277	101	3	κ	κ	X
ejpam-6277	101	4	q	q	NOUN
ejpam-6277	101	5	·	·	PUNCT
ejpam-6277	101	6	p	p	X
ejpam-6277	101	7	·	·	PUNCT
ejpam-6277	101	8	(	(	PUNCT
ejpam-6277	101	9	p	p	NOUN
ejpam-6277	101	10	◦	◦	NOUN
ejpam-6277	101	11	h)κ−1	h)κ−1	NOUN
ejpam-6277	101	12	·	·	PUNCT
ejpam-6277	101	13	(	(	PUNCT
ejpam-6277	101	14	x	x	PUNCT
ejpam-6277	101	15	◦	◦	NOUN
ejpam-6277	101	16	h	h	NOUN
ejpam-6277	101	17	)	)	PUNCT
ejpam-6277	101	18	.	.	PUNCT
ejpam-6277	102	1	the	the	DET
ejpam-6277	102	2	proof	proof	NOUN
ejpam-6277	102	3	is	be	AUX
ejpam-6277	102	4	complete	complete	ADJ
ejpam-6277	102	5	.	.	PUNCT
ejpam-6277	103	1	2.2	2.2	NUM
ejpam-6277	103	2	.	.	PUNCT
ejpam-6277	103	3	oscillatory	oscillatory	ADJ
ejpam-6277	103	4	performance	performance	NOUN
ejpam-6277	103	5	of	of	ADP
ejpam-6277	103	6	solutions	solution	NOUN
ejpam-6277	103	7	the	the	DET
ejpam-6277	103	8	following	follow	VERB
ejpam-6277	103	9	theorem	theorem	ADJ
ejpam-6277	103	10	tests	test	NOUN
ejpam-6277	103	11	the	the	DET
ejpam-6277	103	12	oscillatory	oscillatory	ADJ
ejpam-6277	103	13	performance	performance	NOUN
ejpam-6277	103	14	of	of	ADP
ejpam-6277	103	15	solutions	solution	NOUN
ejpam-6277	103	16	of	of	ADP
ejpam-6277	103	17	equation	equation	NOUN
ejpam-6277	103	18	(	(	PUNCT
ejpam-6277	103	19	1	1	X
ejpam-6277	103	20	)	)	PUNCT
ejpam-6277	103	21	using	use	VERB
ejpam-6277	103	22	the	the	DET
ejpam-6277	103	23	comparison	comparison	NOUN
ejpam-6277	103	24	technique	technique	NOUN
ejpam-6277	103	25	with	with	ADP
ejpam-6277	103	26	first	first	ADJ
ejpam-6277	103	27	-	-	PUNCT
ejpam-6277	103	28	order	order	NOUN
ejpam-6277	103	29	equations	equation	NOUN
ejpam-6277	103	30	.	.	PUNCT
ejpam-6277	104	1	theorem	theorem	NOUN
ejpam-6277	104	2	1	1	NUM
ejpam-6277	104	3	.	.	PUNCT
ejpam-6277	104	4	assume	assume	VERB
ejpam-6277	104	5	that	that	SCONJ
ejpam-6277	104	6	(	(	PUNCT
ejpam-6277	104	7	7	7	X
ejpam-6277	104	8	)	)	PUNCT
ejpam-6277	104	9	holds	hold	NOUN
ejpam-6277	104	10	.	.	PUNCT
ejpam-6277	105	1	then	then	ADV
ejpam-6277	105	2	,	,	PUNCT
ejpam-6277	105	3	equation	equation	NOUN
ejpam-6277	105	4	(	(	PUNCT
ejpam-6277	105	5	1	1	X
ejpam-6277	105	6	)	)	PUNCT
ejpam-6277	105	7	is	be	AUX
ejpam-6277	105	8	oscillatory	oscillatory	ADJ
ejpam-6277	105	9	if	if	SCONJ
ejpam-6277	105	10	lim	lim	PROPN
ejpam-6277	105	11	inf	inf	PROPN
ejpam-6277	105	12	s→∞	s→∞	PROPN
ejpam-6277	105	13	λ	λ	PROPN
ejpam-6277	105	14	[	[	PUNCT
ejpam-6277	105	15	λ	λ	X
ejpam-6277	105	16	[	[	X
ejpam-6277	105	17	q	q	X
ejpam-6277	105	18	·	·	PUNCT
ejpam-6277	105	19	p	p	X
ejpam-6277	105	20	·	·	PUNCT
ejpam-6277	105	21	(	(	PUNCT
ejpam-6277	105	22	p	p	NOUN
ejpam-6277	105	23	◦	◦	NOUN
ejpam-6277	105	24	h)κ	h)κ	NOUN
ejpam-6277	105	25	;	;	PUNCT
ejpam-6277	105	26	s,∞	s,∞	PROPN
ejpam-6277	105	27	]	]	PUNCT
ejpam-6277	105	28	ρ1	ρ1	PROPN
ejpam-6277	105	29	/	/	SYM
ejpam-6277	105	30	κ	κ	X
ejpam-6277	105	31	·	·	PUNCT
ejpam-6277	105	32	p2	p2	X
ejpam-6277	105	33	;	;	PUNCT
ejpam-6277	105	34	s	s	X
ejpam-6277	105	35	,	,	PUNCT
ejpam-6277	105	36	h	h	NOUN
ejpam-6277	105	37	(	(	PUNCT
ejpam-6277	105	38	s	s	NOUN
ejpam-6277	105	39	)	)	PUNCT
ejpam-6277	105	40	]	]	PUNCT
ejpam-6277	105	41	>	>	X
ejpam-6277	105	42	κ	κ	PROPN
ejpam-6277	105	43	e	e	PROPN
ejpam-6277	105	44	.	.	PUNCT
ejpam-6277	106	1	(	(	PUNCT
ejpam-6277	106	2	16	16	X
ejpam-6277	106	3	)	)	PUNCT
ejpam-6277	106	4	proof	proof	NOUN
ejpam-6277	106	5	.	.	PUNCT
ejpam-6277	107	1	assume	assume	VERB
ejpam-6277	107	2	the	the	DET
ejpam-6277	107	3	contrary	contrary	NOUN
ejpam-6277	107	4	that	that	SCONJ
ejpam-6277	107	5	x	x	PUNCT
ejpam-6277	107	6	∈	∈	PROPN
ejpam-6277	107	7	x+	x+	PROPN
ejpam-6277	107	8	.	.	PUNCT
ejpam-6277	108	1	from	from	ADP
ejpam-6277	108	2	lemma	lemma	PROPN
ejpam-6277	108	3	2	2	NUM
ejpam-6277	108	4	and	and	CCONJ
ejpam-6277	108	5	3	3	NUM
ejpam-6277	108	6	,	,	PUNCT
ejpam-6277	108	7	we	we	PRON
ejpam-6277	108	8	obtain	obtain	VERB
ejpam-6277	108	9	that	that	PRON
ejpam-6277	108	10	(	(	PUNCT
ejpam-6277	108	11	11	11	NUM
ejpam-6277	108	12	)	)	PUNCT
ejpam-6277	108	13	and	and	CCONJ
ejpam-6277	108	14	(	(	PUNCT
ejpam-6277	108	15	15	15	X
ejpam-6277	108	16	)	)	PUNCT
ejpam-6277	108	17	hold	hold	VERB
ejpam-6277	108	18	for	for	ADP
ejpam-6277	108	19	s	s	PROPN
ejpam-6277	108	20	≥	≥	NOUN
ejpam-6277	108	21	s1	s1	PROPN
ejpam-6277	108	22	≥	≥	NUM
ejpam-6277	108	23	s0	s0	PROPN
ejpam-6277	108	24	.	.	PUNCT
ejpam-6277	109	1	applying	apply	VERB
ejpam-6277	109	2	λ	λ	PROPN
ejpam-6277	109	3	[	[	X
ejpam-6277	109	4	(	(	PUNCT
ejpam-6277	109	5	·	·	PUNCT
ejpam-6277	109	6	)	)	PUNCT
ejpam-6277	109	7	;	;	PUNCT
ejpam-6277	109	8	s,∞	s,∞	PROPN
ejpam-6277	109	9	]	]	PUNCT
ejpam-6277	109	10	on	on	ADP
ejpam-6277	109	11	(	(	PUNCT
ejpam-6277	109	12	15	15	NUM
ejpam-6277	109	13	)	)	PUNCT
ejpam-6277	109	14	,	,	PUNCT
ejpam-6277	109	15	we	we	PRON
ejpam-6277	109	16	get	get	VERB
ejpam-6277	109	17	ρ1	ρ1	NOUN
ejpam-6277	109	18	/	/	SYM
ejpam-6277	109	19	κ	κ	X
ejpam-6277	109	20	(	(	PUNCT
ejpam-6277	109	21	s)p2	s)p2	PROPN
ejpam-6277	109	22	(	(	PUNCT
ejpam-6277	109	23	s	s	NOUN
ejpam-6277	109	24	)	)	PUNCT
ejpam-6277	109	25	(	(	PUNCT
ejpam-6277	109	26	x	x	X
ejpam-6277	109	27	(	(	PUNCT
ejpam-6277	109	28	s	s	NOUN
ejpam-6277	109	29	)	)	PUNCT
ejpam-6277	109	30	p	p	NOUN
ejpam-6277	109	31	(	(	PUNCT
ejpam-6277	109	32	s	s	NOUN
ejpam-6277	109	33	)	)	PUNCT
ejpam-6277	109	34	)	)	PUNCT
ejpam-6277	110	1	′	′	NUM
ejpam-6277	110	2	≥	≥	NOUN
ejpam-6277	110	3	1	1	NUM
ejpam-6277	110	4	κ	κ	NOUN
ejpam-6277	110	5	λ	λ	X
ejpam-6277	110	6	[	[	PUNCT
ejpam-6277	110	7	q	q	X
ejpam-6277	110	8	·	·	PUNCT
ejpam-6277	110	9	p	p	X
ejpam-6277	110	10	·	·	PUNCT
ejpam-6277	110	11	(	(	PUNCT
ejpam-6277	110	12	p	p	NOUN
ejpam-6277	110	13	◦	◦	NOUN
ejpam-6277	110	14	h)κ	h)κ	NOUN
ejpam-6277	110	15	·	·	PUNCT
ejpam-6277	111	1	(	(	PUNCT
ejpam-6277	111	2	x	x	PUNCT
ejpam-6277	111	3	◦	◦	NOUN
ejpam-6277	111	4	h	h	NOUN
ejpam-6277	111	5	)	)	PUNCT
ejpam-6277	111	6	(	(	PUNCT
ejpam-6277	111	7	p	p	NOUN
ejpam-6277	111	8	◦	◦	NOUN
ejpam-6277	111	9	h	h	NOUN
ejpam-6277	111	10	)	)	PUNCT
ejpam-6277	111	11	;	;	PUNCT
ejpam-6277	111	12	s,∞	s,∞	PROPN
ejpam-6277	111	13	]	]	PUNCT
ejpam-6277	111	14	,	,	PUNCT
ejpam-6277	111	15	which	which	PRON
ejpam-6277	111	16	with	with	ADP
ejpam-6277	111	17	(	(	PUNCT
ejpam-6277	111	18	11	11	NUM
ejpam-6277	111	19	)	)	PUNCT
ejpam-6277	111	20	gives	give	VERB
ejpam-6277	111	21	ρ1	ρ1	NOUN
ejpam-6277	111	22	/	/	SYM
ejpam-6277	111	23	κ	κ	PROPN
ejpam-6277	111	24	(	(	PUNCT
ejpam-6277	111	25	s)p2	s)p2	PROPN
ejpam-6277	111	26	(	(	PUNCT
ejpam-6277	111	27	s	s	NOUN
ejpam-6277	111	28	)	)	PUNCT
ejpam-6277	111	29	(	(	PUNCT
ejpam-6277	111	30	x	x	X
ejpam-6277	111	31	(	(	PUNCT
ejpam-6277	111	32	s	s	NOUN
ejpam-6277	111	33	)	)	PUNCT
ejpam-6277	111	34	p	p	NOUN
ejpam-6277	111	35	(	(	PUNCT
ejpam-6277	111	36	s	s	NOUN
ejpam-6277	111	37	)	)	PUNCT
ejpam-6277	111	38	)	)	PUNCT
ejpam-6277	112	1	′	′	NUM
ejpam-6277	112	2	≥	≥	NOUN
ejpam-6277	112	3	1	1	NUM
ejpam-6277	112	4	κ	κ	NOUN
ejpam-6277	112	5	x	x	X
ejpam-6277	112	6	(	(	PUNCT
ejpam-6277	112	7	h	h	NOUN
ejpam-6277	112	8	(	(	PUNCT
ejpam-6277	112	9	s	s	NOUN
ejpam-6277	112	10	)	)	PUNCT
ejpam-6277	112	11	)	)	PUNCT
ejpam-6277	113	1	p	p	NOUN
ejpam-6277	113	2	(	(	PUNCT
ejpam-6277	113	3	h	h	NOUN
ejpam-6277	113	4	(	(	PUNCT
ejpam-6277	113	5	s	s	NOUN
ejpam-6277	113	6	)	)	PUNCT
ejpam-6277	113	7	)	)	PUNCT
ejpam-6277	114	1	λ	λ	X
ejpam-6277	115	1	[	[	X
ejpam-6277	115	2	q	q	X
ejpam-6277	115	3	·	·	PUNCT
ejpam-6277	115	4	p	p	X
ejpam-6277	115	5	·	·	PUNCT
ejpam-6277	115	6	(	(	PUNCT
ejpam-6277	115	7	p	p	NOUN
ejpam-6277	115	8	◦	◦	NOUN
ejpam-6277	115	9	h)κ	h)κ	NOUN
ejpam-6277	115	10	;	;	PUNCT
ejpam-6277	115	11	s,∞	s,∞	PROPN
ejpam-6277	115	12	]	]	PUNCT
ejpam-6277	115	13	,	,	PUNCT
ejpam-6277	115	14	setting	set	VERB
ejpam-6277	115	15	w	w	NOUN
ejpam-6277	115	16	:	:	PUNCT
ejpam-6277	115	17	=	=	SYM
ejpam-6277	115	18	x	x	X
ejpam-6277	115	19	/	/	SYM
ejpam-6277	115	20	p	p	X
ejpam-6277	115	21	,	,	PUNCT
ejpam-6277	115	22	we	we	PRON
ejpam-6277	115	23	have	have	VERB
ejpam-6277	115	24	that	that	PRON
ejpam-6277	115	25	w	w	NOUN
ejpam-6277	115	26	is	be	AUX
ejpam-6277	115	27	a	a	DET
ejpam-6277	115	28	positive	positive	ADJ
ejpam-6277	115	29	solution	solution	NOUN
ejpam-6277	115	30	of	of	ADP
ejpam-6277	115	31	w′	w′	PROPN
ejpam-6277	115	32	(	(	PUNCT
ejpam-6277	115	33	s	s	X
ejpam-6277	115	34	)	)	PUNCT
ejpam-6277	115	35	≥	≥	NOUN
ejpam-6277	115	36	1	1	NUM
ejpam-6277	115	37	κ	κ	NOUN
ejpam-6277	115	38	λ	λ	X
ejpam-6277	116	1	[	[	X
ejpam-6277	116	2	q	q	X
ejpam-6277	116	3	·	·	PUNCT
ejpam-6277	116	4	p	p	X
ejpam-6277	116	5	·	·	PUNCT
ejpam-6277	116	6	(	(	PUNCT
ejpam-6277	116	7	p	p	NOUN
ejpam-6277	116	8	◦	◦	NOUN
ejpam-6277	116	9	h)κ	h)κ	NOUN
ejpam-6277	116	10	;	;	PUNCT
ejpam-6277	116	11	s,∞	s,∞	PROPN
ejpam-6277	116	12	]	]	PUNCT
ejpam-6277	116	13	ρ1	ρ1	PROPN
ejpam-6277	116	14	/	/	SYM
ejpam-6277	116	15	κ	κ	PROPN
ejpam-6277	116	16	(	(	PUNCT
ejpam-6277	116	17	s)p2	s)p2	PROPN
ejpam-6277	116	18	(	(	PUNCT
ejpam-6277	116	19	s	s	NOUN
ejpam-6277	116	20	)	)	PUNCT
ejpam-6277	116	21	w	w	PROPN
ejpam-6277	116	22	(	(	PUNCT
ejpam-6277	116	23	h	h	NOUN
ejpam-6277	116	24	(	(	PUNCT
ejpam-6277	116	25	s	s	NOUN
ejpam-6277	116	26	)	)	PUNCT
ejpam-6277	116	27	)	)	PUNCT
ejpam-6277	116	28	.	.	PUNCT
ejpam-6277	117	1	w.	w.	PROPN
ejpam-6277	117	2	alhaysuni	alhaysuni	PROPN
ejpam-6277	117	3	,	,	PUNCT
ejpam-6277	117	4	s.	s.	PROPN
ejpam-6277	117	5	f.	f.	PROPN
ejpam-6277	117	6	aljurbua	aljurbua	PROPN
ejpam-6277	117	7	,	,	PUNCT
ejpam-6277	117	8	o.	o.	PROPN
ejpam-6277	117	9	moaaz	moaaz	PROPN
ejpam-6277	117	10	/	/	SYM
ejpam-6277	117	11	eur	eur	PROPN
ejpam-6277	117	12	.	.	PUNCT
ejpam-6277	118	1	j.	j.	PROPN
ejpam-6277	118	2	pure	pure	PROPN
ejpam-6277	118	3	appl	appl	PROPN
ejpam-6277	118	4	.	.	PROPN
ejpam-6277	118	5	math	math	PROPN
ejpam-6277	118	6	,	,	PUNCT
ejpam-6277	118	7	18	18	NUM
ejpam-6277	118	8	(	(	PUNCT
ejpam-6277	118	9	3	3	NUM
ejpam-6277	118	10	)	)	PUNCT
ejpam-6277	118	11	(	(	PUNCT
ejpam-6277	118	12	2025	2025	NUM
ejpam-6277	118	13	)	)	PUNCT
ejpam-6277	118	14	,	,	PUNCT
ejpam-6277	118	15	6277	6277	NUM
ejpam-6277	118	16	6	6	NUM
ejpam-6277	118	17	of	of	ADP
ejpam-6277	118	18	11	11	NUM
ejpam-6277	118	19	using	use	VERB
ejpam-6277	118	20	lemma	lemma	PROPN
ejpam-6277	118	21	2.3	2.3	NUM
ejpam-6277	118	22	in	in	ADP
ejpam-6277	118	23	[	[	X
ejpam-6277	118	24	20	20	NUM
ejpam-6277	118	25	]	]	PUNCT
ejpam-6277	118	26	,	,	PUNCT
ejpam-6277	118	27	the	the	DET
ejpam-6277	118	28	equation	equation	NOUN
ejpam-6277	118	29	w′	w′	PROPN
ejpam-6277	118	30	(	(	PUNCT
ejpam-6277	118	31	s)−	s)−	PROPN
ejpam-6277	118	32	1	1	NUM
ejpam-6277	118	33	κ	κ	NOUN
ejpam-6277	118	34	λ	λ	X
ejpam-6277	119	1	[	[	X
ejpam-6277	119	2	q	q	X
ejpam-6277	119	3	·	·	PUNCT
ejpam-6277	119	4	p	p	X
ejpam-6277	119	5	·	·	PUNCT
ejpam-6277	119	6	(	(	PUNCT
ejpam-6277	119	7	p	p	NOUN
ejpam-6277	119	8	◦	◦	NOUN
ejpam-6277	119	9	h)κ	h)κ	NOUN
ejpam-6277	119	10	;	;	PUNCT
ejpam-6277	119	11	s,∞	s,∞	PROPN
ejpam-6277	119	12	]	]	PUNCT
ejpam-6277	119	13	ρ1	ρ1	PROPN
ejpam-6277	119	14	/	/	SYM
ejpam-6277	119	15	κ	κ	PROPN
ejpam-6277	119	16	(	(	PUNCT
ejpam-6277	119	17	s)p2	s)p2	PROPN
ejpam-6277	119	18	(	(	PUNCT
ejpam-6277	119	19	s	s	NOUN
ejpam-6277	119	20	)	)	PUNCT
ejpam-6277	119	21	w	w	PROPN
ejpam-6277	119	22	(	(	PUNCT
ejpam-6277	119	23	h	h	NOUN
ejpam-6277	119	24	(	(	PUNCT
ejpam-6277	119	25	s	s	NOUN
ejpam-6277	119	26	)	)	PUNCT
ejpam-6277	119	27	)	)	PUNCT
ejpam-6277	120	1	=	=	SYM
ejpam-6277	120	2	0	0	PROPN
ejpam-6277	120	3	has	have	VERB
ejpam-6277	120	4	also	also	ADV
ejpam-6277	120	5	a	a	DET
ejpam-6277	120	6	positive	positive	ADJ
ejpam-6277	120	7	solution	solution	NOUN
ejpam-6277	120	8	,	,	PUNCT
ejpam-6277	120	9	which	which	PRON
ejpam-6277	120	10	contradicts	contradict	VERB
ejpam-6277	120	11	to	to	ADP
ejpam-6277	120	12	(	(	PUNCT
ejpam-6277	120	13	16	16	NUM
ejpam-6277	120	14	)	)	PUNCT
ejpam-6277	120	15	;	;	PUNCT
ejpam-6277	120	16	see	see	VERB
ejpam-6277	120	17	theorem	theorem	NOUN
ejpam-6277	120	18	1	1	NUM
ejpam-6277	120	19	in	in	ADP
ejpam-6277	120	20	[	[	X
ejpam-6277	120	21	21	21	NUM
ejpam-6277	120	22	]	]	PUNCT
ejpam-6277	120	23	.	.	PUNCT
ejpam-6277	121	1	the	the	DET
ejpam-6277	121	2	proof	proof	NOUN
ejpam-6277	121	3	is	be	AUX
ejpam-6277	121	4	complete	complete	ADJ
ejpam-6277	121	5	.	.	PUNCT
ejpam-6277	122	1	based	base	VERB
ejpam-6277	122	2	on	on	ADP
ejpam-6277	122	3	riccati	riccati	PROPN
ejpam-6277	122	4	’s	’s	PART
ejpam-6277	122	5	approach	approach	NOUN
ejpam-6277	122	6	,	,	PUNCT
ejpam-6277	122	7	we	we	PRON
ejpam-6277	122	8	test	test	VERB
ejpam-6277	122	9	the	the	DET
ejpam-6277	122	10	oscillatory	oscillatory	ADJ
ejpam-6277	122	11	behavior	behavior	NOUN
ejpam-6277	122	12	of	of	ADP
ejpam-6277	122	13	equation	equation	NOUN
ejpam-6277	122	14	(	(	PUNCT
ejpam-6277	122	15	1	1	NUM
ejpam-6277	122	16	)	)	PUNCT
ejpam-6277	122	17	in	in	ADP
ejpam-6277	122	18	the	the	DET
ejpam-6277	122	19	following	following	NOUN
ejpam-6277	122	20	theorem	theorem	NOUN
ejpam-6277	122	21	:	:	PUNCT
ejpam-6277	122	22	theorem	theorem	NOUN
ejpam-6277	122	23	2	2	NUM
ejpam-6277	122	24	.	.	X
ejpam-6277	122	25	assume	assume	VERB
ejpam-6277	122	26	that	that	SCONJ
ejpam-6277	122	27	(	(	PUNCT
ejpam-6277	122	28	7	7	X
ejpam-6277	122	29	)	)	PUNCT
ejpam-6277	122	30	holds	hold	NOUN
ejpam-6277	122	31	.	.	PUNCT
ejpam-6277	123	1	then	then	ADV
ejpam-6277	123	2	,	,	PUNCT
ejpam-6277	123	3	equation	equation	NOUN
ejpam-6277	123	4	(	(	PUNCT
ejpam-6277	123	5	1	1	X
ejpam-6277	123	6	)	)	PUNCT
ejpam-6277	123	7	is	be	AUX
ejpam-6277	123	8	oscillatory	oscillatory	ADJ
ejpam-6277	123	9	if	if	SCONJ
ejpam-6277	123	10	there	there	PRON
ejpam-6277	123	11	is	be	VERB
ejpam-6277	123	12	a	a	DET
ejpam-6277	123	13	ψ	ψ	X
ejpam-6277	123	14	∈	∈	NOUN
ejpam-6277	123	15	c	c	X
ejpam-6277	123	16	(	(	PUNCT
ejpam-6277	123	17	[	[	X
ejpam-6277	123	18	s0,∞	s0,∞	NOUN
ejpam-6277	123	19	)	)	PUNCT
ejpam-6277	123	20	,	,	PUNCT
ejpam-6277	123	21	(	(	PUNCT
ejpam-6277	123	22	0,∞	0,∞	NOUN
ejpam-6277	123	23	)	)	PUNCT
ejpam-6277	123	24	)	)	PUNCT
ejpam-6277	124	1	such	such	ADJ
ejpam-6277	124	2	that	that	SCONJ
ejpam-6277	124	3	lim	lim	PROPN
ejpam-6277	124	4	sup	sup	NOUN
ejpam-6277	124	5	s→∞	s→∞	PROPN
ejpam-6277	124	6	p	p	NOUN
ejpam-6277	124	7	(	(	PUNCT
ejpam-6277	124	8	s	s	NOUN
ejpam-6277	124	9	)	)	PUNCT
ejpam-6277	124	10	ψ	ψ	X
ejpam-6277	124	11	(	(	PUNCT
ejpam-6277	124	12	s	s	NOUN
ejpam-6277	124	13	)	)	PUNCT
ejpam-6277	124	14	λ	λ	NOUN
ejpam-6277	124	15	[	[	PUNCT
ejpam-6277	124	16	1	1	NUM
ejpam-6277	124	17	κ	κ	NOUN
ejpam-6277	124	18	ψ	ψ	X
ejpam-6277	124	19	·	·	PUNCT
ejpam-6277	124	20	q	q	X
ejpam-6277	124	21	·	·	PUNCT
ejpam-6277	124	22	(	(	PUNCT
ejpam-6277	124	23	p	p	NOUN
ejpam-6277	124	24	◦	◦	NOUN
ejpam-6277	124	25	h)κ	h)κ	NOUN
ejpam-6277	125	1	p	p	X
ejpam-6277	125	2	−	−	PROPN
ejpam-6277	125	3	1	1	NUM
ejpam-6277	125	4	4	4	NUM
ejpam-6277	125	5	ρ1	ρ1	NOUN
ejpam-6277	125	6	/	/	SYM
ejpam-6277	125	7	κ	κ	NOUN
ejpam-6277	125	8	·	·	PUNCT
ejpam-6277	125	9	(	(	PUNCT
ejpam-6277	125	10	ψ′)2	ψ′)2	NOUN
ejpam-6277	125	11	ψ	ψ	ADP
ejpam-6277	125	12	;	;	PUNCT
ejpam-6277	125	13	s1	s1	NOUN
ejpam-6277	125	14	,	,	PUNCT
ejpam-6277	125	15	s	s	PART
ejpam-6277	125	16	]	]	PUNCT
ejpam-6277	125	17	>	>	X
ejpam-6277	125	18	1	1	X
ejpam-6277	125	19	.	.	PUNCT
ejpam-6277	126	1	(	(	PUNCT
ejpam-6277	126	2	17	17	NUM
ejpam-6277	126	3	)	)	PUNCT
ejpam-6277	126	4	proof	proof	NOUN
ejpam-6277	126	5	.	.	PUNCT
ejpam-6277	127	1	assume	assume	VERB
ejpam-6277	127	2	the	the	DET
ejpam-6277	127	3	contrary	contrary	NOUN
ejpam-6277	127	4	that	that	SCONJ
ejpam-6277	127	5	x	x	PUNCT
ejpam-6277	127	6	∈	∈	PROPN
ejpam-6277	127	7	x+	x+	PROPN
ejpam-6277	127	8	.	.	PUNCT
ejpam-6277	128	1	from	from	ADP
ejpam-6277	128	2	lemma	lemma	PROPN
ejpam-6277	128	3	2	2	NUM
ejpam-6277	128	4	,	,	PUNCT
ejpam-6277	128	5	we	we	PRON
ejpam-6277	128	6	obtain	obtain	VERB
ejpam-6277	128	7	that	that	PRON
ejpam-6277	128	8	(	(	PUNCT
ejpam-6277	128	9	11	11	NUM
ejpam-6277	128	10	)	)	PUNCT
ejpam-6277	128	11	and	and	CCONJ
ejpam-6277	128	12	(	(	PUNCT
ejpam-6277	128	13	12	12	X
ejpam-6277	128	14	)	)	PUNCT
ejpam-6277	128	15	hold	hold	VERB
ejpam-6277	128	16	for	for	ADP
ejpam-6277	128	17	s	s	PROPN
ejpam-6277	128	18	≥	≥	NOUN
ejpam-6277	128	19	s1	s1	PROPN
ejpam-6277	128	20	≥	≥	NUM
ejpam-6277	128	21	s0	s0	PROPN
ejpam-6277	128	22	.	.	PUNCT
ejpam-6277	129	1	now	now	ADV
ejpam-6277	129	2	,	,	PUNCT
ejpam-6277	129	3	we	we	PRON
ejpam-6277	129	4	define	define	VERB
ejpam-6277	129	5	h	h	NOUN
ejpam-6277	129	6	:	:	PUNCT
ejpam-6277	129	7	=	=	SYM
ejpam-6277	129	8	ψ	ψ	PART
ejpam-6277	129	9	·	·	PUNCT
ejpam-6277	129	10	(	(	PUNCT
ejpam-6277	129	11	ρ1	ρ1	NOUN
ejpam-6277	129	12	/	/	SYM
ejpam-6277	129	13	κ	κ	X
ejpam-6277	129	14	·	·	PUNCT
ejpam-6277	129	15	x′	x′	PUNCT
ejpam-6277	129	16	x	x	PUNCT
ejpam-6277	130	1	+	+	PUNCT
ejpam-6277	130	2	1	1	NUM
ejpam-6277	130	3	p	p	NOUN
ejpam-6277	130	4	)	)	PUNCT
ejpam-6277	130	5	>	>	X
ejpam-6277	130	6	0	0	NUM
ejpam-6277	130	7	;	;	PUNCT
ejpam-6277	130	8	see	see	VERB
ejpam-6277	130	9	(	(	PUNCT
ejpam-6277	130	10	13	13	NUM
ejpam-6277	130	11	)	)	PUNCT
ejpam-6277	130	12	.	.	PUNCT
ejpam-6277	131	1	(	(	PUNCT
ejpam-6277	131	2	18	18	NUM
ejpam-6277	131	3	)	)	PUNCT
ejpam-6277	131	4	then	then	ADV
ejpam-6277	131	5	,	,	PUNCT
ejpam-6277	131	6	h	h	NOUN
ejpam-6277	131	7	′	′	NUM
ejpam-6277	132	1	=	=	NOUN
ejpam-6277	132	2	ψ′	ψ′	PRON
ejpam-6277	132	3	ψ	ψ	NOUN
ejpam-6277	132	4	·	·	PUNCT
ejpam-6277	132	5	h	h	NOUN
ejpam-6277	132	6	+	+	X
ejpam-6277	132	7	ψ	ψ	X
ejpam-6277	132	8	·	·	PUNCT
ejpam-6277	132	9	(	(	PUNCT
ejpam-6277	132	10	(	(	PUNCT
ejpam-6277	132	11	ρ1	ρ1	NOUN
ejpam-6277	132	12	/	/	SYM
ejpam-6277	132	13	κ	κ	X
ejpam-6277	132	14	·	·	PUNCT
ejpam-6277	132	15	x′	x′	PUNCT
ejpam-6277	132	16	)	)	PUNCT
ejpam-6277	133	1	′	′	NUM
ejpam-6277	134	1	x	x	PUNCT
ejpam-6277	134	2	−	−	PROPN
ejpam-6277	134	3	ρ1	ρ1	PROPN
ejpam-6277	134	4	/	/	SYM
ejpam-6277	134	5	κ	κ	NOUN
ejpam-6277	134	6	·	·	PUNCT
ejpam-6277	134	7	(	(	PUNCT
ejpam-6277	134	8	x	x	SYM
ejpam-6277	134	9	′)2	′)2	X
ejpam-6277	134	10	x2	x2	PROPN
ejpam-6277	135	1	+	+	CCONJ
ejpam-6277	135	2	1	1	NUM
ejpam-6277	135	3	ρ1	ρ1	NOUN
ejpam-6277	135	4	/	/	SYM
ejpam-6277	135	5	κ	κ	NOUN
ejpam-6277	135	6	·	·	PUNCT
ejpam-6277	135	7	p2	p2	PROPN
ejpam-6277	135	8	)	)	PUNCT
ejpam-6277	135	9	,	,	PUNCT
ejpam-6277	135	10	which	which	PRON
ejpam-6277	135	11	with	with	ADP
ejpam-6277	135	12	(	(	PUNCT
ejpam-6277	135	13	12	12	NUM
ejpam-6277	135	14	)	)	PUNCT
ejpam-6277	135	15	and	and	CCONJ
ejpam-6277	135	16	(	(	PUNCT
ejpam-6277	135	17	18	18	NUM
ejpam-6277	135	18	)	)	PUNCT
ejpam-6277	135	19	yields	yield	NOUN
ejpam-6277	135	20	h	h	NOUN
ejpam-6277	135	21	′	′	NOUN
ejpam-6277	135	22	≤	≤	NUM
ejpam-6277	135	23	ψ′	ψ′	PUNCT
ejpam-6277	135	24	ψ	ψ	X
ejpam-6277	135	25	·	·	PUNCT
ejpam-6277	135	26	h	h	NOUN
ejpam-6277	135	27	−	−	NOUN
ejpam-6277	135	28	1	1	NUM
ejpam-6277	135	29	κ	κ	NOUN
ejpam-6277	135	30	ψ	ψ	X
ejpam-6277	135	31	·	·	PUNCT
ejpam-6277	135	32	q	q	X
ejpam-6277	135	33	·	·	PUNCT
ejpam-6277	135	34	(	(	PUNCT
ejpam-6277	135	35	p	p	NOUN
ejpam-6277	135	36	◦	◦	NOUN
ejpam-6277	135	37	h)κ−1	h)κ−1	NOUN
ejpam-6277	135	38	·	·	PUNCT
ejpam-6277	135	39	(	(	PUNCT
ejpam-6277	135	40	x	x	PUNCT
ejpam-6277	135	41	◦	◦	NOUN
ejpam-6277	135	42	h	h	NOUN
ejpam-6277	135	43	)	)	PUNCT
ejpam-6277	135	44	x	x	SYM
ejpam-6277	136	1	−	−	PROPN
ejpam-6277	136	2	1	1	NUM
ejpam-6277	136	3	ψ	ψ	PROPN
ejpam-6277	136	4	·	·	PUNCT
ejpam-6277	136	5	ρ1	ρ1	PROPN
ejpam-6277	136	6	/	/	SYM
ejpam-6277	136	7	κ	κ	PROPN
ejpam-6277	136	8	(	(	PUNCT
ejpam-6277	136	9	h	h	NOUN
ejpam-6277	136	10	−	−	PROPN
ejpam-6277	136	11	ψ	ψ	X
ejpam-6277	136	12	p	p	NOUN
ejpam-6277	136	13	)	)	PUNCT
ejpam-6277	136	14	2	2	NUM
ejpam-6277	136	15	+	+	NUM
ejpam-6277	136	16	ψ	ψ	NOUN
ejpam-6277	136	17	ρ1	ρ1	NOUN
ejpam-6277	136	18	/	/	SYM
ejpam-6277	136	19	κ	κ	NOUN
ejpam-6277	136	20	·	·	PUNCT
ejpam-6277	136	21	p2	p2	PROPN
ejpam-6277	136	22	.	.	PUNCT
ejpam-6277	137	1	from	from	ADP
ejpam-6277	137	2	(	(	PUNCT
ejpam-6277	137	3	11	11	NUM
ejpam-6277	137	4	)	)	PUNCT
ejpam-6277	137	5	,	,	PUNCT
ejpam-6277	137	6	we	we	PRON
ejpam-6277	137	7	obtain	obtain	VERB
ejpam-6277	137	8	h	h	NOUN
ejpam-6277	137	9	′	′	NOUN
ejpam-6277	137	10	≤	≤	NUM
ejpam-6277	138	1	−1	−1	ADP
ejpam-6277	138	2	κ	κ	X
ejpam-6277	138	3	ψ	ψ	X
ejpam-6277	138	4	·	·	PUNCT
ejpam-6277	138	5	q	q	X
ejpam-6277	138	6	·	·	PUNCT
ejpam-6277	138	7	(	(	PUNCT
ejpam-6277	138	8	p	p	NOUN
ejpam-6277	138	9	◦	◦	NOUN
ejpam-6277	138	10	h)κ	h)κ	NOUN
ejpam-6277	138	11	p	p	X
ejpam-6277	138	12	+	+	NOUN
ejpam-6277	138	13	ψ′	ψ′	CCONJ
ejpam-6277	138	14	ψ	ψ	NOUN
ejpam-6277	138	15	·	·	PUNCT
ejpam-6277	138	16	h	h	NOUN
ejpam-6277	138	17	−	−	PROPN
ejpam-6277	138	18	1	1	NUM
ejpam-6277	138	19	ψ	ψ	PROPN
ejpam-6277	138	20	·	·	PUNCT
ejpam-6277	138	21	ρ1	ρ1	PROPN
ejpam-6277	138	22	/	/	SYM
ejpam-6277	138	23	κ	κ	PROPN
ejpam-6277	138	24	(	(	PUNCT
ejpam-6277	138	25	h	h	NOUN
ejpam-6277	138	26	−	−	PROPN
ejpam-6277	138	27	ψ	ψ	X
ejpam-6277	138	28	p	p	NOUN
ejpam-6277	138	29	)	)	PUNCT
ejpam-6277	138	30	2	2	NUM
ejpam-6277	138	31	+	+	NUM
ejpam-6277	138	32	ψ	ψ	NOUN
ejpam-6277	138	33	ρ1	ρ1	NOUN
ejpam-6277	138	34	/	/	SYM
ejpam-6277	138	35	κ	κ	NOUN
ejpam-6277	138	36	·	·	PUNCT
ejpam-6277	138	37	p2	p2	PROPN
ejpam-6277	138	38	.	.	PUNCT
ejpam-6277	139	1	(	(	PUNCT
ejpam-6277	139	2	19	19	NUM
ejpam-6277	139	3	)	)	PUNCT
ejpam-6277	139	4	we	we	PRON
ejpam-6277	139	5	define	define	VERB
ejpam-6277	139	6	f	f	X
ejpam-6277	139	7	:	:	PUNCT
ejpam-6277	139	8	=	=	NOUN
ejpam-6277	139	9	ψ′	ψ′	PRON
ejpam-6277	139	10	ψ	ψ	X
ejpam-6277	139	11	·	·	PUNCT
ejpam-6277	139	12	h	h	NOUN
ejpam-6277	139	13	−	−	PROPN
ejpam-6277	139	14	1	1	NUM
ejpam-6277	139	15	ψ	ψ	PROPN
ejpam-6277	139	16	·	·	PUNCT
ejpam-6277	139	17	ρ1	ρ1	PROPN
ejpam-6277	139	18	/	/	SYM
ejpam-6277	139	19	κ	κ	PROPN
ejpam-6277	139	20	(	(	PUNCT
ejpam-6277	139	21	h	h	NOUN
ejpam-6277	139	22	−	−	PROPN
ejpam-6277	139	23	ψ	ψ	X
ejpam-6277	139	24	p	p	NOUN
ejpam-6277	139	25	)	)	PUNCT
ejpam-6277	139	26	2	2	NUM
ejpam-6277	139	27	.	.	PUNCT
ejpam-6277	140	1	so	so	ADV
ejpam-6277	140	2	,	,	PUNCT
ejpam-6277	140	3	f	f	PROPN
ejpam-6277	140	4	gattains	gattain	VERB
ejpam-6277	140	5	its	its	PRON
ejpam-6277	140	6	maximum	maximum	ADJ
ejpam-6277	140	7	value	value	NOUN
ejpam-6277	140	8	at	at	ADP
ejpam-6277	140	9	ψ	ψ	X
ejpam-6277	140	10	p	p	X
ejpam-6277	140	11	+	+	NOUN
ejpam-6277	140	12	1	1	NUM
ejpam-6277	140	13	2	2	NUM
ejpam-6277	140	14	ψ′ρ1	ψ′ρ1	NOUN
ejpam-6277	140	15	/	/	SYM
ejpam-6277	140	16	κ	κ	PROPN
ejpam-6277	140	17	,	,	PUNCT
ejpam-6277	140	18	w.	w.	PROPN
ejpam-6277	140	19	alhaysuni	alhaysuni	PROPN
ejpam-6277	140	20	,	,	PUNCT
ejpam-6277	140	21	s.	s.	PROPN
ejpam-6277	140	22	f.	f.	PROPN
ejpam-6277	140	23	aljurbua	aljurbua	PROPN
ejpam-6277	140	24	,	,	PUNCT
ejpam-6277	140	25	o.	o.	PROPN
ejpam-6277	140	26	moaaz	moaaz	PROPN
ejpam-6277	140	27	/	/	SYM
ejpam-6277	140	28	eur	eur	PROPN
ejpam-6277	140	29	.	.	PUNCT
ejpam-6277	141	1	j.	j.	PROPN
ejpam-6277	141	2	pure	pure	PROPN
ejpam-6277	141	3	appl	appl	PROPN
ejpam-6277	141	4	.	.	PROPN
ejpam-6277	141	5	math	math	PROPN
ejpam-6277	141	6	,	,	PUNCT
ejpam-6277	141	7	18	18	NUM
ejpam-6277	141	8	(	(	PUNCT
ejpam-6277	141	9	3	3	NUM
ejpam-6277	141	10	)	)	PUNCT
ejpam-6277	141	11	(	(	PUNCT
ejpam-6277	141	12	2025	2025	NUM
ejpam-6277	141	13	)	)	PUNCT
ejpam-6277	141	14	,	,	PUNCT
ejpam-6277	141	15	6277	6277	NUM
ejpam-6277	141	16	7	7	NUM
ejpam-6277	141	17	of	of	ADP
ejpam-6277	141	18	11	11	NUM
ejpam-6277	141	19	and	and	CCONJ
ejpam-6277	141	20	f	f	PROPN
ejpam-6277	141	21	≤	≤	NUM
ejpam-6277	141	22	ψ′	ψ′	VERB
ejpam-6277	142	1	p	p	NOUN
ejpam-6277	142	2	+	+	CCONJ
ejpam-6277	142	3	1	1	NUM
ejpam-6277	142	4	4	4	NUM
ejpam-6277	142	5	ρ1	ρ1	NOUN
ejpam-6277	142	6	/	/	SYM
ejpam-6277	142	7	κ	κ	NOUN
ejpam-6277	142	8	·	·	PUNCT
ejpam-6277	142	9	(	(	PUNCT
ejpam-6277	142	10	ψ	ψ	X
ejpam-6277	142	11	′)2	′)2	NUM
ejpam-6277	142	12	ψ	ψ	X
ejpam-6277	142	13	.	.	PUNCT
ejpam-6277	143	1	therefore	therefore	ADV
ejpam-6277	143	2	,	,	PUNCT
ejpam-6277	143	3	(	(	PUNCT
ejpam-6277	143	4	19	19	NUM
ejpam-6277	143	5	)	)	PUNCT
ejpam-6277	143	6	becomes	become	VERB
ejpam-6277	143	7	h	h	NOUN
ejpam-6277	143	8	′	′	NOUN
ejpam-6277	143	9	≤	≤	NUM
ejpam-6277	144	1	−1	−1	ADP
ejpam-6277	144	2	κ	κ	X
ejpam-6277	144	3	ψ	ψ	X
ejpam-6277	144	4	·	·	PUNCT
ejpam-6277	144	5	q	q	X
ejpam-6277	144	6	·	·	PUNCT
ejpam-6277	144	7	(	(	PUNCT
ejpam-6277	144	8	p	p	NOUN
ejpam-6277	144	9	◦	◦	NOUN
ejpam-6277	144	10	h)κ	h)κ	NOUN
ejpam-6277	144	11	p	p	X
ejpam-6277	145	1	+	+	NOUN
ejpam-6277	145	2	1	1	NUM
ejpam-6277	145	3	4	4	NUM
ejpam-6277	145	4	ρ1	ρ1	NOUN
ejpam-6277	145	5	/	/	SYM
ejpam-6277	145	6	κ	κ	NOUN
ejpam-6277	145	7	·	·	PUNCT
ejpam-6277	145	8	(	(	PUNCT
ejpam-6277	145	9	ψ	ψ	X
ejpam-6277	145	10	′)2	′)2	X
ejpam-6277	145	11	ψ	ψ	NOUN
ejpam-6277	145	12	+	+	NOUN
ejpam-6277	145	13	ψ′	ψ′	PROPN
ejpam-6277	145	14	p	p	NOUN
ejpam-6277	145	15	+	+	CCONJ
ejpam-6277	145	16	ψ	ψ	X
ejpam-6277	145	17	ρ1	ρ1	NOUN
ejpam-6277	145	18	/	/	SYM
ejpam-6277	145	19	κ	κ	NOUN
ejpam-6277	145	20	·	·	PUNCT
ejpam-6277	145	21	p2	p2	PROPN
ejpam-6277	145	22	=	=	PUNCT
ejpam-6277	145	23	−1	−1	NOUN
ejpam-6277	145	24	κ	κ	X
ejpam-6277	145	25	ψ	ψ	X
ejpam-6277	145	26	·	·	PUNCT
ejpam-6277	145	27	q	q	X
ejpam-6277	145	28	·	·	PUNCT
ejpam-6277	145	29	(	(	PUNCT
ejpam-6277	145	30	p	p	NOUN
ejpam-6277	145	31	◦	◦	NOUN
ejpam-6277	145	32	h)κ	h)κ	NOUN
ejpam-6277	145	33	p	p	X
ejpam-6277	146	1	+	+	NOUN
ejpam-6277	146	2	1	1	NUM
ejpam-6277	146	3	4	4	NUM
ejpam-6277	146	4	ρ1	ρ1	NOUN
ejpam-6277	146	5	/	/	SYM
ejpam-6277	146	6	κ	κ	NOUN
ejpam-6277	146	7	·	·	PUNCT
ejpam-6277	146	8	(	(	PUNCT
ejpam-6277	146	9	ψ	ψ	X
ejpam-6277	146	10	′)2	′)2	X
ejpam-6277	146	11	ψ	ψ	X
ejpam-6277	146	12	+	+	X
ejpam-6277	146	13	(	(	PUNCT
ejpam-6277	146	14	ψ	ψ	X
ejpam-6277	146	15	p	p	NOUN
ejpam-6277	146	16	)	)	PUNCT
ejpam-6277	146	17	′	′	NUM
ejpam-6277	146	18	.	.	PUNCT
ejpam-6277	147	1	(	(	PUNCT
ejpam-6277	147	2	20	20	X
ejpam-6277	147	3	)	)	PUNCT
ejpam-6277	147	4	applying	apply	VERB
ejpam-6277	147	5	λ	λ	PROPN
ejpam-6277	147	6	[	[	X
ejpam-6277	147	7	(	(	PUNCT
ejpam-6277	147	8	·	·	PUNCT
ejpam-6277	147	9	)	)	PUNCT
ejpam-6277	147	10	;	;	PUNCT
ejpam-6277	147	11	s1	s1	NOUN
ejpam-6277	147	12	,	,	PUNCT
ejpam-6277	147	13	s	s	X
ejpam-6277	147	14	]	]	X
ejpam-6277	147	15	on	on	ADP
ejpam-6277	147	16	(	(	PUNCT
ejpam-6277	147	17	20	20	NUM
ejpam-6277	147	18	)	)	PUNCT
ejpam-6277	147	19	,	,	PUNCT
ejpam-6277	147	20	we	we	PRON
ejpam-6277	147	21	get	get	VERB
ejpam-6277	147	22	λ	λ	X
ejpam-6277	147	23	[	[	PUNCT
ejpam-6277	147	24	1	1	NUM
ejpam-6277	147	25	κ	κ	NOUN
ejpam-6277	147	26	ψ	ψ	X
ejpam-6277	147	27	·	·	PUNCT
ejpam-6277	147	28	q	q	X
ejpam-6277	147	29	·	·	PUNCT
ejpam-6277	147	30	(	(	PUNCT
ejpam-6277	147	31	p	p	NOUN
ejpam-6277	147	32	◦	◦	NOUN
ejpam-6277	147	33	h)κ	h)κ	NOUN
ejpam-6277	147	34	p	p	X
ejpam-6277	147	35	−	−	PROPN
ejpam-6277	147	36	1	1	NUM
ejpam-6277	147	37	4	4	NUM
ejpam-6277	147	38	ρ1	ρ1	NOUN
ejpam-6277	147	39	/	/	SYM
ejpam-6277	147	40	κ	κ	NOUN
ejpam-6277	147	41	·	·	PUNCT
ejpam-6277	147	42	(	(	PUNCT
ejpam-6277	147	43	ψ′)2	ψ′)2	NOUN
ejpam-6277	147	44	ψ	ψ	ADP
ejpam-6277	147	45	;	;	PUNCT
ejpam-6277	147	46	s1	s1	NOUN
ejpam-6277	147	47	,	,	PUNCT
ejpam-6277	147	48	s	s	PART
ejpam-6277	147	49	]	]	PUNCT
ejpam-6277	147	50	≤	≤	NUM
ejpam-6277	148	1	(	(	PUNCT
ejpam-6277	148	2	h	h	NOUN
ejpam-6277	148	3	(	(	PUNCT
ejpam-6277	148	4	s1)−	s1)−	NOUN
ejpam-6277	148	5	ψ	ψ	X
ejpam-6277	148	6	(	(	PUNCT
ejpam-6277	148	7	s1	s1	NOUN
ejpam-6277	148	8	)	)	PUNCT
ejpam-6277	148	9	p	p	NOUN
ejpam-6277	148	10	(	(	PUNCT
ejpam-6277	148	11	s1	s1	PROPN
ejpam-6277	148	12	)	)	PUNCT
ejpam-6277	148	13	)	)	PUNCT
ejpam-6277	148	14	−	−	PROPN
ejpam-6277	148	15	(	(	PUNCT
ejpam-6277	148	16	h	h	NOUN
ejpam-6277	148	17	(	(	PUNCT
ejpam-6277	148	18	s)−	s)−	PROPN
ejpam-6277	148	19	ψ	ψ	SYM
ejpam-6277	148	20	(	(	PUNCT
ejpam-6277	148	21	s	s	NOUN
ejpam-6277	148	22	)	)	PUNCT
ejpam-6277	148	23	p	p	NOUN
ejpam-6277	148	24	(	(	PUNCT
ejpam-6277	148	25	s	s	NOUN
ejpam-6277	148	26	)	)	PUNCT
ejpam-6277	148	27	)	)	PUNCT
ejpam-6277	148	28	.	.	PUNCT
ejpam-6277	149	1	this	this	PRON
ejpam-6277	149	2	implies	imply	VERB
ejpam-6277	149	3	that	that	SCONJ
ejpam-6277	149	4	λ	λ	PROPN
ejpam-6277	149	5	[	[	PUNCT
ejpam-6277	149	6	1	1	NUM
ejpam-6277	149	7	κ	κ	NOUN
ejpam-6277	149	8	ψ	ψ	X
ejpam-6277	149	9	·	·	PUNCT
ejpam-6277	149	10	q	q	X
ejpam-6277	149	11	·	·	PUNCT
ejpam-6277	149	12	(	(	PUNCT
ejpam-6277	149	13	p	p	NOUN
ejpam-6277	149	14	◦	◦	NOUN
ejpam-6277	149	15	h)κ	h)κ	NOUN
ejpam-6277	149	16	p	p	X
ejpam-6277	149	17	−	−	PROPN
ejpam-6277	149	18	1	1	NUM
ejpam-6277	149	19	4	4	NUM
ejpam-6277	149	20	ρ1	ρ1	NOUN
ejpam-6277	149	21	/	/	SYM
ejpam-6277	149	22	κ	κ	NOUN
ejpam-6277	149	23	·	·	PUNCT
ejpam-6277	149	24	(	(	PUNCT
ejpam-6277	149	25	ψ′)2	ψ′)2	NOUN
ejpam-6277	149	26	ψ	ψ	ADP
ejpam-6277	149	27	;	;	PUNCT
ejpam-6277	149	28	s1	s1	NOUN
ejpam-6277	149	29	,	,	PUNCT
ejpam-6277	149	30	s	s	PART
ejpam-6277	149	31	]	]	PUNCT
ejpam-6277	149	32	≤	≤	NUM
ejpam-6277	149	33	−ψ	−ψ	NOUN
ejpam-6277	149	34	(	(	PUNCT
ejpam-6277	149	35	s	s	NOUN
ejpam-6277	149	36	)	)	PUNCT
ejpam-6277	149	37	ρ1	ρ1	PROPN
ejpam-6277	149	38	/	/	SYM
ejpam-6277	149	39	κ	κ	PROPN
ejpam-6277	149	40	(	(	PUNCT
ejpam-6277	149	41	s)x′	s)x′	PROPN
ejpam-6277	149	42	(	(	PUNCT
ejpam-6277	149	43	s	s	NOUN
ejpam-6277	149	44	)	)	PUNCT
ejpam-6277	149	45	x	x	X
ejpam-6277	149	46	(	(	PUNCT
ejpam-6277	149	47	s	s	NOUN
ejpam-6277	149	48	)	)	PUNCT
ejpam-6277	149	49	≤	≤	NOUN
ejpam-6277	149	50	ψ	ψ	X
ejpam-6277	149	51	(	(	PUNCT
ejpam-6277	149	52	s	s	NOUN
ejpam-6277	149	53	)	)	PUNCT
ejpam-6277	149	54	p	p	NOUN
ejpam-6277	149	55	(	(	PUNCT
ejpam-6277	149	56	s	s	NOUN
ejpam-6277	149	57	)	)	PUNCT
ejpam-6277	149	58	,	,	PUNCT
ejpam-6277	149	59	or	or	CCONJ
ejpam-6277	149	60	p	p	X
ejpam-6277	149	61	(	(	PUNCT
ejpam-6277	149	62	s	s	NOUN
ejpam-6277	149	63	)	)	PUNCT
ejpam-6277	149	64	ψ	ψ	X
ejpam-6277	149	65	(	(	PUNCT
ejpam-6277	149	66	s	s	NOUN
ejpam-6277	149	67	)	)	PUNCT
ejpam-6277	149	68	λ	λ	NOUN
ejpam-6277	149	69	[	[	PUNCT
ejpam-6277	149	70	1	1	NUM
ejpam-6277	149	71	κ	κ	NOUN
ejpam-6277	149	72	ψ	ψ	X
ejpam-6277	149	73	·	·	PUNCT
ejpam-6277	149	74	q	q	X
ejpam-6277	149	75	·	·	PUNCT
ejpam-6277	149	76	(	(	PUNCT
ejpam-6277	149	77	p	p	NOUN
ejpam-6277	149	78	◦	◦	NOUN
ejpam-6277	149	79	h)κ	h)κ	NOUN
ejpam-6277	149	80	p	p	X
ejpam-6277	149	81	−	−	PROPN
ejpam-6277	149	82	1	1	NUM
ejpam-6277	149	83	4	4	NUM
ejpam-6277	149	84	ρ1	ρ1	NOUN
ejpam-6277	149	85	/	/	SYM
ejpam-6277	149	86	κ	κ	NOUN
ejpam-6277	149	87	·	·	PUNCT
ejpam-6277	149	88	(	(	PUNCT
ejpam-6277	149	89	ψ′)2	ψ′)2	NOUN
ejpam-6277	149	90	ψ	ψ	ADP
ejpam-6277	149	91	;	;	PUNCT
ejpam-6277	149	92	s1	s1	NOUN
ejpam-6277	149	93	,	,	PUNCT
ejpam-6277	149	94	s	s	PART
ejpam-6277	149	95	]	]	PUNCT
ejpam-6277	149	96	≤	≤	NUM
ejpam-6277	149	97	1	1	NUM
ejpam-6277	149	98	.	.	PUNCT
ejpam-6277	150	1	(	(	PUNCT
ejpam-6277	150	2	21	21	NUM
ejpam-6277	150	3	)	)	PUNCT
ejpam-6277	150	4	taking	take	VERB
ejpam-6277	150	5	the	the	DET
ejpam-6277	150	6	lim	lim	NOUN
ejpam-6277	150	7	sup	sup	PROPN
ejpam-6277	150	8	of	of	ADP
ejpam-6277	150	9	(	(	PUNCT
ejpam-6277	150	10	21	21	NUM
ejpam-6277	150	11	)	)	PUNCT
ejpam-6277	150	12	,	,	PUNCT
ejpam-6277	150	13	we	we	PRON
ejpam-6277	150	14	get	get	VERB
ejpam-6277	150	15	at	at	ADP
ejpam-6277	150	16	contradiction	contradiction	NOUN
ejpam-6277	150	17	with	with	ADP
ejpam-6277	150	18	(	(	PUNCT
ejpam-6277	150	19	17	17	NUM
ejpam-6277	150	20	)	)	PUNCT
ejpam-6277	150	21	.	.	PUNCT
ejpam-6277	151	1	this	this	PRON
ejpam-6277	151	2	completes	complete	VERB
ejpam-6277	151	3	the	the	DET
ejpam-6277	151	4	proof	proof	NOUN
ejpam-6277	151	5	.	.	PUNCT
ejpam-6277	152	1	3	3	X
ejpam-6277	152	2	.	.	X
ejpam-6277	152	3	discussion	discussion	NOUN
ejpam-6277	152	4	and	and	CCONJ
ejpam-6277	152	5	applications	application	NOUN
ejpam-6277	152	6	this	this	DET
ejpam-6277	152	7	section	section	NOUN
ejpam-6277	152	8	tests	test	VERB
ejpam-6277	152	9	the	the	DET
ejpam-6277	152	10	oscillatory	oscillatory	ADJ
ejpam-6277	152	11	performance	performance	NOUN
ejpam-6277	152	12	for	for	ADP
ejpam-6277	152	13	some	some	DET
ejpam-6277	152	14	special	special	ADJ
ejpam-6277	152	15	cases	case	NOUN
ejpam-6277	152	16	of	of	ADP
ejpam-6277	152	17	the	the	DET
ejpam-6277	152	18	studied	study	VERB
ejpam-6277	152	19	equation	equation	NOUN
ejpam-6277	152	20	and	and	CCONJ
ejpam-6277	152	21	compares	compare	VERB
ejpam-6277	152	22	our	our	PRON
ejpam-6277	152	23	results	result	NOUN
ejpam-6277	152	24	with	with	ADP
ejpam-6277	152	25	those	those	PRON
ejpam-6277	152	26	previously	previously	ADV
ejpam-6277	152	27	reported	report	VERB
ejpam-6277	152	28	in	in	ADP
ejpam-6277	152	29	the	the	DET
ejpam-6277	152	30	literature	literature	NOUN
ejpam-6277	152	31	.	.	PUNCT
ejpam-6277	153	1	example	example	NOUN
ejpam-6277	154	1	1	1	NUM
ejpam-6277	154	2	.	.	X
ejpam-6277	154	3	consider	consider	VERB
ejpam-6277	154	4	the	the	DET
ejpam-6277	154	5	ade	ade	NOUN
ejpam-6277	154	6	(	(	PUNCT
ejpam-6277	154	7	s2x′	s2x′	PROPN
ejpam-6277	154	8	(	(	PUNCT
ejpam-6277	154	9	s	s	NOUN
ejpam-6277	154	10	)	)	PUNCT
ejpam-6277	154	11	)	)	PUNCT
ejpam-6277	154	12	′	′	NUM
ejpam-6277	155	1	+	+	CCONJ
ejpam-6277	155	2	q0x	q0x	NOUN
ejpam-6277	155	3	(	(	PUNCT
ejpam-6277	155	4	h0s	h0s	X
ejpam-6277	155	5	)	)	PUNCT
ejpam-6277	155	6	=	=	SYM
ejpam-6277	155	7	0	0	NUM
ejpam-6277	155	8	,	,	PUNCT
ejpam-6277	155	9	(	(	PUNCT
ejpam-6277	155	10	22	22	NUM
ejpam-6277	155	11	)	)	PUNCT
ejpam-6277	155	12	where	where	SCONJ
ejpam-6277	155	13	s	s	VERB
ejpam-6277	155	14	>	>	X
ejpam-6277	155	15	0	0	PROPN
ejpam-6277	155	16	,	,	PUNCT
ejpam-6277	155	17	h0	h0	NOUN
ejpam-6277	155	18	≥	≥	NOUN
ejpam-6277	155	19	1	1	NUM
ejpam-6277	155	20	and	and	CCONJ
ejpam-6277	155	21	q0	q0	VERB
ejpam-6277	155	22	>	>	X
ejpam-6277	155	23	0	0	X
ejpam-6277	155	24	.	.	PUNCT
ejpam-6277	156	1	then	then	ADV
ejpam-6277	156	2	p	p	X
ejpam-6277	156	3	(	(	PUNCT
ejpam-6277	156	4	s	s	NOUN
ejpam-6277	156	5	)	)	PUNCT
ejpam-6277	156	6	=	=	SYM
ejpam-6277	156	7	1	1	NUM
ejpam-6277	156	8	/	/	SYM
ejpam-6277	156	9	s	s	NOUN
ejpam-6277	156	10	,	,	PUNCT
ejpam-6277	156	11	and	and	CCONJ
ejpam-6277	156	12	so	so	ADV
ejpam-6277	156	13	λ	λ	X
ejpam-6277	156	14	[	[	PUNCT
ejpam-6277	156	15	1	1	NUM
ejpam-6277	156	16	s2	s2	NOUN
ejpam-6277	156	17	λ	λ	PROPN
ejpam-6277	157	1	[	[	X
ejpam-6277	157	2	q0	q0	X
ejpam-6277	157	3	;	;	PUNCT
ejpam-6277	157	4	s0	s0	PROPN
ejpam-6277	157	5	,	,	PUNCT
ejpam-6277	157	6	s	s	PART
ejpam-6277	157	7	]	]	X
ejpam-6277	157	8	;	;	PUNCT
ejpam-6277	157	9	s0,∞	s0,∞	X
ejpam-6277	157	10	]	]	PUNCT
ejpam-6277	157	11	=	=	SYM
ejpam-6277	157	12	q0λ	q0λ	X
ejpam-6277	157	13	[	[	PUNCT
ejpam-6277	157	14	s−	s−	PROPN
ejpam-6277	157	15	s0	s0	PROPN
ejpam-6277	157	16	s2	s2	PROPN
ejpam-6277	157	17	;	;	PUNCT
ejpam-6277	157	18	s0,∞	s0,∞	X
ejpam-6277	157	19	]	]	PUNCT
ejpam-6277	157	20	=	=	SYM
ejpam-6277	157	21	∞	∞	PROPN
ejpam-6277	157	22	,	,	PUNCT
ejpam-6277	157	23	w.	w.	PROPN
ejpam-6277	157	24	alhaysuni	alhaysuni	PROPN
ejpam-6277	157	25	,	,	PUNCT
ejpam-6277	157	26	s.	s.	PROPN
ejpam-6277	157	27	f.	f.	PROPN
ejpam-6277	157	28	aljurbua	aljurbua	PROPN
ejpam-6277	157	29	,	,	PUNCT
ejpam-6277	157	30	o.	o.	PROPN
ejpam-6277	157	31	moaaz	moaaz	PROPN
ejpam-6277	157	32	/	/	SYM
ejpam-6277	157	33	eur	eur	PROPN
ejpam-6277	157	34	.	.	PUNCT
ejpam-6277	158	1	j.	j.	PROPN
ejpam-6277	158	2	pure	pure	PROPN
ejpam-6277	158	3	appl	appl	PROPN
ejpam-6277	158	4	.	.	PROPN
ejpam-6277	158	5	math	math	PROPN
ejpam-6277	158	6	,	,	PUNCT
ejpam-6277	158	7	18	18	NUM
ejpam-6277	158	8	(	(	PUNCT
ejpam-6277	158	9	3	3	NUM
ejpam-6277	158	10	)	)	PUNCT
ejpam-6277	158	11	(	(	PUNCT
ejpam-6277	158	12	2025	2025	NUM
ejpam-6277	158	13	)	)	PUNCT
ejpam-6277	158	14	,	,	PUNCT
ejpam-6277	158	15	6277	6277	NUM
ejpam-6277	158	16	8	8	NUM
ejpam-6277	158	17	of	of	ADP
ejpam-6277	158	18	11	11	NUM
ejpam-6277	158	19	table	table	NOUN
ejpam-6277	158	20	1	1	NUM
ejpam-6277	158	21	:	:	PUNCT
ejpam-6277	158	22	comparison	comparison	NOUN
ejpam-6277	158	23	of	of	ADP
ejpam-6277	158	24	the	the	DET
ejpam-6277	158	25	oscillation	oscillation	NOUN
ejpam-6277	158	26	criteria	criterion	NOUN
ejpam-6277	158	27	of	of	ADP
ejpam-6277	158	28	(	(	PUNCT
ejpam-6277	158	29	22	22	NUM
ejpam-6277	158	30	)	)	PUNCT
ejpam-6277	158	31	for	for	ADP
ejpam-6277	158	32	special	special	ADJ
ejpam-6277	158	33	cases	case	NOUN
ejpam-6277	158	34	of	of	ADP
ejpam-6277	158	35	parameters	parameter	NOUN
ejpam-6277	158	36	q0	q0	VERB
ejpam-6277	158	37	and	and	CCONJ
ejpam-6277	158	38	h0	h0	VERB
ejpam-6277	158	39	our	our	PRON
ejpam-6277	158	40	results	result	NOUN
ejpam-6277	158	41	previous	previous	ADJ
ejpam-6277	158	42	results	result	NOUN
ejpam-6277	158	43	criterion	criterion	NOUN
ejpam-6277	158	44	(	(	PUNCT
ejpam-6277	158	45	23	23	NUM
ejpam-6277	158	46	)	)	PUNCT
ejpam-6277	158	47	(	(	PUNCT
ejpam-6277	158	48	24	24	NUM
ejpam-6277	158	49	)	)	PUNCT
ejpam-6277	158	50	(	(	PUNCT
ejpam-6277	158	51	25	25	NUM
ejpam-6277	158	52	)	)	PUNCT
ejpam-6277	158	53	(	(	PUNCT
ejpam-6277	158	54	26	26	NUM
ejpam-6277	158	55	)	)	PUNCT
ejpam-6277	158	56	(	(	PUNCT
ejpam-6277	158	57	a	a	X
ejpam-6277	158	58	)	)	PUNCT
ejpam-6277	158	59	q0	q0	NOUN
ejpam-6277	158	60	=	=	SYM
ejpam-6277	158	61	3	3	NUM
ejpam-6277	158	62	h0	h0	NOUN
ejpam-6277	158	63	>	>	X
ejpam-6277	158	64	26.824	26.824	NUM
ejpam-6277	158	65	h0	h0	NOUN
ejpam-6277	158	66	>	>	PROPN
ejpam-6277	158	67	0.0833	0.0833	NUM
ejpam-6277	158	68	h0	h0	NOUN
ejpam-6277	158	69	>	>	X
ejpam-6277	158	70	19.078	19.078	NUM
ejpam-6277	158	71	h0	h0	NOUN
ejpam-6277	158	72	>	>	X
ejpam-6277	158	73	31.005	31.005	NUM
ejpam-6277	158	74	(	(	PUNCT
ejpam-6277	158	75	b	b	NOUN
ejpam-6277	158	76	)	)	PUNCT
ejpam-6277	158	77	h0	h0	NOUN
ejpam-6277	158	78	=	=	SYM
ejpam-6277	158	79	2	2	NUM
ejpam-6277	158	80	q0	q0	VERB
ejpam-6277	158	81	>	>	X
ejpam-6277	159	1	1.0615	1.0615	NUM
ejpam-6277	159	2	q0	q0	PROPN
ejpam-6277	159	3	>	>	X
ejpam-6277	159	4	0.1250	0.1250	NUM
ejpam-6277	160	1	q0	q0	PROPN
ejpam-6277	160	2	>	>	X
ejpam-6277	160	3	0.4307	0.4307	NUM
ejpam-6277	160	4	q0	q0	PROPN
ejpam-6277	160	5	>	>	X
ejpam-6277	160	6	0.6934	0.6934	NUM
ejpam-6277	160	7	which	which	PRON
ejpam-6277	160	8	means	mean	VERB
ejpam-6277	160	9	that	that	SCONJ
ejpam-6277	160	10	condition	condition	NOUN
ejpam-6277	160	11	(	(	PUNCT
ejpam-6277	160	12	7	7	X
ejpam-6277	160	13	)	)	PUNCT
ejpam-6277	160	14	is	be	AUX
ejpam-6277	160	15	fulfilled	fulfil	VERB
ejpam-6277	160	16	.	.	PUNCT
ejpam-6277	161	1	now	now	ADV
ejpam-6277	161	2	,	,	PUNCT
ejpam-6277	161	3	condition	condition	NOUN
ejpam-6277	161	4	(	(	PUNCT
ejpam-6277	161	5	16	16	NUM
ejpam-6277	161	6	)	)	PUNCT
ejpam-6277	161	7	becomes	become	VERB
ejpam-6277	161	8	lim	lim	PROPN
ejpam-6277	161	9	inf	inf	PROPN
ejpam-6277	161	10	s→∞	s→∞	PROPN
ejpam-6277	161	11	λ	λ	PROPN
ejpam-6277	161	12	[	[	PUNCT
ejpam-6277	161	13	λ	λ	X
ejpam-6277	161	14	[	[	PUNCT
ejpam-6277	161	15	q0	q0	PROPN
ejpam-6277	161	16	1	1	NUM
ejpam-6277	161	17	s	s	NOUN
ejpam-6277	161	18	1	1	NUM
ejpam-6277	161	19	h0s	h0s	NOUN
ejpam-6277	161	20	;	;	PUNCT
ejpam-6277	161	21	s,∞	s,∞	PROPN
ejpam-6277	161	22	]	]	PUNCT
ejpam-6277	161	23	;	;	PUNCT
ejpam-6277	161	24	s	s	X
ejpam-6277	161	25	,	,	PUNCT
ejpam-6277	161	26	h0s	h0s	X
ejpam-6277	161	27	]	]	PUNCT
ejpam-6277	161	28	=	=	SYM
ejpam-6277	161	29	q0	q0	PROPN
ejpam-6277	161	30	h0	h0	PROPN
ejpam-6277	161	31	lim	lim	PROPN
ejpam-6277	161	32	inf	inf	PROPN
ejpam-6277	161	33	s→∞	s→∞	PROPN
ejpam-6277	161	34	λ	λ	PROPN
ejpam-6277	161	35	[	[	PUNCT
ejpam-6277	161	36	1	1	NUM
ejpam-6277	161	37	s	s	PART
ejpam-6277	161	38	;	;	PUNCT
ejpam-6277	161	39	s	s	X
ejpam-6277	161	40	,	,	PUNCT
ejpam-6277	161	41	h0s	h0s	X
ejpam-6277	161	42	]	]	PUNCT
ejpam-6277	162	1	=	=	SYM
ejpam-6277	162	2	q0	q0	PROPN
ejpam-6277	162	3	h0	h0	PROPN
ejpam-6277	162	4	ln	ln	PROPN
ejpam-6277	162	5	(	(	PUNCT
ejpam-6277	162	6	h0	h0	PROPN
ejpam-6277	162	7	)	)	PUNCT
ejpam-6277	162	8	>	>	X
ejpam-6277	162	9	1	1	NUM
ejpam-6277	162	10	e	e	X
ejpam-6277	162	11	.	.	PUNCT
ejpam-6277	163	1	from	from	ADP
ejpam-6277	163	2	theorem	theorem	ADJ
ejpam-6277	163	3	1	1	NUM
ejpam-6277	163	4	,	,	PUNCT
ejpam-6277	163	5	equation	equation	NOUN
ejpam-6277	163	6	(	(	PUNCT
ejpam-6277	163	7	22	22	NUM
ejpam-6277	163	8	)	)	PUNCT
ejpam-6277	163	9	is	be	AUX
ejpam-6277	163	10	oscillatory	oscillatory	ADJ
ejpam-6277	163	11	if	if	SCONJ
ejpam-6277	163	12	q0	q0	PROPN
ejpam-6277	163	13	>	>	X
ejpam-6277	163	14	h0	h0	PROPN
ejpam-6277	163	15	e	e	PROPN
ejpam-6277	163	16	ln	ln	X
ejpam-6277	163	17	(	(	PUNCT
ejpam-6277	163	18	h0	h0	PROPN
ejpam-6277	163	19	)	)	PUNCT
ejpam-6277	163	20	.	.	PUNCT
ejpam-6277	164	1	(	(	PUNCT
ejpam-6277	164	2	23	23	NUM
ejpam-6277	164	3	)	)	PUNCT
ejpam-6277	164	4	on	on	ADP
ejpam-6277	164	5	the	the	DET
ejpam-6277	164	6	other	other	ADJ
ejpam-6277	164	7	hand	hand	NOUN
ejpam-6277	164	8	,	,	PUNCT
ejpam-6277	164	9	by	by	ADP
ejpam-6277	164	10	choosing	choose	VERB
ejpam-6277	164	11	ψ	ψ	X
ejpam-6277	164	12	(	(	PUNCT
ejpam-6277	164	13	s	s	X
ejpam-6277	164	14	)	)	PUNCT
ejpam-6277	164	15	=	=	SYM
ejpam-6277	164	16	1	1	NUM
ejpam-6277	164	17	/	/	SYM
ejpam-6277	164	18	s	s	PROPN
ejpam-6277	164	19	,	,	PUNCT
ejpam-6277	164	20	condition	condition	NOUN
ejpam-6277	164	21	(	(	PUNCT
ejpam-6277	164	22	17	17	NUM
ejpam-6277	164	23	)	)	PUNCT
ejpam-6277	164	24	reduces	reduce	VERB
ejpam-6277	164	25	to	to	ADP
ejpam-6277	164	26	lim	lim	PROPN
ejpam-6277	164	27	sup	sup	NOUN
ejpam-6277	164	28	s→∞	s→∞	NUM
ejpam-6277	165	1	λ	λ	X
ejpam-6277	165	2	[	[	PUNCT
ejpam-6277	165	3	q0h0	q0h0	NUM
ejpam-6277	165	4	1	1	NUM
ejpam-6277	165	5	s	s	NOUN
ejpam-6277	165	6	−	−	NUM
ejpam-6277	165	7	1	1	NUM
ejpam-6277	165	8	4	4	NUM
ejpam-6277	165	9	1	1	NUM
ejpam-6277	165	10	s	s	NOUN
ejpam-6277	165	11	;	;	PUNCT
ejpam-6277	165	12	s1	s1	NOUN
ejpam-6277	165	13	,	,	PUNCT
ejpam-6277	165	14	s	s	PART
ejpam-6277	165	15	]	]	X
ejpam-6277	165	16	=	=	SYM
ejpam-6277	165	17	(	(	PUNCT
ejpam-6277	165	18	q0h0	q0h0	NOUN
ejpam-6277	165	19	−	−	NOUN
ejpam-6277	165	20	1	1	NUM
ejpam-6277	165	21	4	4	NUM
ejpam-6277	165	22	)	)	PUNCT
ejpam-6277	165	23	lim	lim	NOUN
ejpam-6277	165	24	sup	sup	NOUN
ejpam-6277	165	25	s→∞	s→∞	NUM
ejpam-6277	165	26	λ	λ	NOUN
ejpam-6277	165	27	[	[	PUNCT
ejpam-6277	165	28	1	1	NUM
ejpam-6277	165	29	s	s	NOUN
ejpam-6277	165	30	;	;	PUNCT
ejpam-6277	165	31	s1	s1	NOUN
ejpam-6277	165	32	,	,	PUNCT
ejpam-6277	165	33	s	s	PART
ejpam-6277	165	34	]	]	PUNCT
ejpam-6277	165	35	>	>	X
ejpam-6277	166	1	1	1	X
ejpam-6277	166	2	.	.	PUNCT
ejpam-6277	166	3	from	from	ADP
ejpam-6277	166	4	theorem	theorem	ADJ
ejpam-6277	166	5	2	2	NUM
ejpam-6277	166	6	,	,	PUNCT
ejpam-6277	166	7	equation	equation	NOUN
ejpam-6277	166	8	(	(	PUNCT
ejpam-6277	166	9	22	22	NUM
ejpam-6277	166	10	)	)	PUNCT
ejpam-6277	166	11	is	be	AUX
ejpam-6277	166	12	oscillatory	oscillatory	ADJ
ejpam-6277	166	13	if	if	SCONJ
ejpam-6277	166	14	q0	q0	PROPN
ejpam-6277	166	15	>	>	X
ejpam-6277	166	16	1	1	NUM
ejpam-6277	166	17	4h0	4h0	NUM
ejpam-6277	166	18	.	.	PUNCT
ejpam-6277	167	1	(	(	PUNCT
ejpam-6277	167	2	24	24	NUM
ejpam-6277	167	3	)	)	PUNCT
ejpam-6277	167	4	remark	remark	NOUN
ejpam-6277	167	5	1	1	NUM
ejpam-6277	167	6	.	.	PUNCT
ejpam-6277	168	1	according	accord	VERB
ejpam-6277	168	2	to	to	ADP
ejpam-6277	168	3	theorem	theorem	NOUN
ejpam-6277	168	4	10	10	NUM
ejpam-6277	168	5	in	in	ADP
ejpam-6277	168	6	[	[	X
ejpam-6277	168	7	11	11	NUM
ejpam-6277	168	8	]	]	PUNCT
ejpam-6277	168	9	and	and	CCONJ
ejpam-6277	168	10	theorem	theorem	VERB
ejpam-6277	168	11	3.4	3.4	NUM
ejpam-6277	168	12	in	in	ADP
ejpam-6277	168	13	[	[	X
ejpam-6277	168	14	12	12	NUM
ejpam-6277	168	15	]	]	PUNCT
ejpam-6277	168	16	,	,	PUNCT
ejpam-6277	168	17	equation	equation	NOUN
ejpam-6277	168	18	(	(	PUNCT
ejpam-6277	168	19	22	22	NUM
ejpam-6277	168	20	)	)	PUNCT
ejpam-6277	168	21	oscillates	oscillate	NOUN
ejpam-6277	168	22	when	when	SCONJ
ejpam-6277	168	23	q0h	q0h	VERB
ejpam-6277	168	24	q0	q0	PROPN
ejpam-6277	168	25	h0	h0	NOUN
ejpam-6277	168	26	−1	−1	NOUN
ejpam-6277	168	27	0	0	PUNCT
ejpam-6277	168	28	>	>	SYM
ejpam-6277	168	29	1	1	NUM
ejpam-6277	168	30	4	4	NUM
ejpam-6277	168	31	.	.	PUNCT
ejpam-6277	169	1	(	(	PUNCT
ejpam-6277	169	2	25	25	NUM
ejpam-6277	169	3	)	)	PUNCT
ejpam-6277	169	4	the	the	DET
ejpam-6277	169	5	results	result	NOUN
ejpam-6277	169	6	in	in	ADP
ejpam-6277	169	7	[	[	X
ejpam-6277	169	8	13	13	NUM
ejpam-6277	169	9	]	]	PUNCT
ejpam-6277	169	10	also	also	ADV
ejpam-6277	169	11	confirm	confirm	VERB
ejpam-6277	169	12	the	the	DET
ejpam-6277	169	13	oscillation	oscillation	NOUN
ejpam-6277	169	14	of	of	ADP
ejpam-6277	169	15	equation	equation	NOUN
ejpam-6277	169	16	(	(	PUNCT
ejpam-6277	169	17	22	22	NUM
ejpam-6277	169	18	)	)	PUNCT
ejpam-6277	169	19	under	under	ADP
ejpam-6277	169	20	the	the	DET
ejpam-6277	169	21	condition	condition	NOUN
ejpam-6277	169	22	q0	q0	PROPN
ejpam-6277	169	23	h0	h0	PROPN
ejpam-6277	169	24	ln	ln	PROPN
ejpam-6277	169	25	(	(	PUNCT
ejpam-6277	169	26	h0	h0	PROPN
ejpam-6277	169	27	)	)	PUNCT
ejpam-6277	169	28	>	>	X
ejpam-6277	169	29	1	1	NUM
ejpam-6277	169	30	e	e	X
ejpam-6277	169	31	(	(	PUNCT
ejpam-6277	169	32	1−	1−	NUM
ejpam-6277	169	33	q0	q0	PROPN
ejpam-6277	169	34	h0	h0	PROPN
ejpam-6277	169	35	)	)	PUNCT
ejpam-6277	169	36	.	.	PUNCT
ejpam-6277	170	1	(	(	PUNCT
ejpam-6277	170	2	26	26	NUM
ejpam-6277	170	3	)	)	PUNCT
ejpam-6277	170	4	the	the	DET
ejpam-6277	170	5	following	follow	VERB
ejpam-6277	170	6	table	table	NOUN
ejpam-6277	170	7	,	,	PUNCT
ejpam-6277	170	8	table	table	NOUN
ejpam-6277	170	9	1	1	NUM
ejpam-6277	170	10	,	,	PUNCT
ejpam-6277	170	11	illustrates	illustrate	VERB
ejpam-6277	170	12	the	the	DET
ejpam-6277	170	13	comparison	comparison	NOUN
ejpam-6277	170	14	mentioned	mention	VERB
ejpam-6277	170	15	in	in	ADP
ejpam-6277	170	16	remark	remark	NOUN
ejpam-6277	170	17	1	1	NUM
ejpam-6277	170	18	for	for	ADP
ejpam-6277	170	19	different	different	ADJ
ejpam-6277	170	20	values	value	NOUN
ejpam-6277	170	21	of	of	ADP
ejpam-6277	170	22	q0	q0	PROPN
ejpam-6277	170	23	and	and	CCONJ
ejpam-6277	170	24	h0	h0	PROPN
ejpam-6277	170	25	.	.	PUNCT
ejpam-6277	171	1	it	it	PRON
ejpam-6277	171	2	is	be	AUX
ejpam-6277	171	3	clear	clear	ADJ
ejpam-6277	171	4	from	from	ADP
ejpam-6277	171	5	this	this	DET
ejpam-6277	171	6	comparison	comparison	NOUN
ejpam-6277	171	7	that	that	SCONJ
ejpam-6277	171	8	our	our	PRON
ejpam-6277	171	9	results	result	NOUN
ejpam-6277	171	10	provide	provide	VERB
ejpam-6277	171	11	more	more	ADV
ejpam-6277	171	12	efficient	efficient	ADJ
ejpam-6277	171	13	criteria	criterion	NOUN
ejpam-6277	171	14	for	for	ADP
ejpam-6277	171	15	testing	test	VERB
ejpam-6277	171	16	the	the	DET
ejpam-6277	171	17	oscillatory	oscillatory	ADJ
ejpam-6277	171	18	performance	performance	NOUN
ejpam-6277	171	19	of	of	ADP
ejpam-6277	171	20	solutions	solution	NOUN
ejpam-6277	171	21	.	.	PUNCT
ejpam-6277	172	1	example	example	NOUN
ejpam-6277	173	1	2	2	NUM
ejpam-6277	173	2	.	.	X
ejpam-6277	173	3	consider	consider	VERB
ejpam-6277	173	4	the	the	DET
ejpam-6277	173	5	ade	ade	NOUN
ejpam-6277	173	6	(	(	PUNCT
ejpam-6277	173	7	esx′	esx′	NOUN
ejpam-6277	173	8	(	(	PUNCT
ejpam-6277	173	9	s	s	NOUN
ejpam-6277	173	10	)	)	PUNCT
ejpam-6277	173	11	)	)	PUNCT
ejpam-6277	174	1	′	′	PUNCT
ejpam-6277	175	1	+	+	NUM
ejpam-6277	175	2	q0e	q0e	X
ejpam-6277	175	3	sx	sx	PROPN
ejpam-6277	175	4	(	(	PUNCT
ejpam-6277	175	5	s+	s+	ADV
ejpam-6277	175	6	h0	h0	PROPN
ejpam-6277	175	7	)	)	PUNCT
ejpam-6277	175	8	=	=	SYM
ejpam-6277	175	9	0	0	NUM
ejpam-6277	175	10	(	(	PUNCT
ejpam-6277	175	11	27	27	NUM
ejpam-6277	175	12	)	)	PUNCT
ejpam-6277	175	13	w.	w.	PROPN
ejpam-6277	175	14	alhaysuni	alhaysuni	PROPN
ejpam-6277	175	15	,	,	PUNCT
ejpam-6277	175	16	s.	s.	PROPN
ejpam-6277	175	17	f.	f.	PROPN
ejpam-6277	175	18	aljurbua	aljurbua	PROPN
ejpam-6277	175	19	,	,	PUNCT
ejpam-6277	175	20	o.	o.	PROPN
ejpam-6277	175	21	moaaz	moaaz	PROPN
ejpam-6277	175	22	/	/	SYM
ejpam-6277	175	23	eur	eur	PROPN
ejpam-6277	175	24	.	.	PUNCT
ejpam-6277	176	1	j.	j.	PROPN
ejpam-6277	176	2	pure	pure	PROPN
ejpam-6277	176	3	appl	appl	PROPN
ejpam-6277	176	4	.	.	PROPN
ejpam-6277	176	5	math	math	PROPN
ejpam-6277	176	6	,	,	PUNCT
ejpam-6277	176	7	18	18	NUM
ejpam-6277	176	8	(	(	PUNCT
ejpam-6277	176	9	3	3	NUM
ejpam-6277	176	10	)	)	PUNCT
ejpam-6277	176	11	(	(	PUNCT
ejpam-6277	176	12	2025	2025	NUM
ejpam-6277	176	13	)	)	PUNCT
ejpam-6277	176	14	,	,	PUNCT
ejpam-6277	176	15	6277	6277	NUM
ejpam-6277	176	16	9	9	NUM
ejpam-6277	176	17	of	of	ADP
ejpam-6277	176	18	11	11	NUM
ejpam-6277	176	19	where	where	SCONJ
ejpam-6277	176	20	s	s	VERB
ejpam-6277	176	21	>	>	X
ejpam-6277	176	22	0	0	PROPN
ejpam-6277	176	23	,	,	PUNCT
ejpam-6277	176	24	h0	h0	NOUN
ejpam-6277	176	25	>	>	NOUN
ejpam-6277	176	26	0	0	PUNCT
ejpam-6277	177	1	and	and	CCONJ
ejpam-6277	177	2	q0	q0	VERB
ejpam-6277	177	3	>	>	X
ejpam-6277	177	4	0	0	X
ejpam-6277	177	5	.	.	PUNCT
ejpam-6277	178	1	then	then	ADV
ejpam-6277	178	2	p	p	X
ejpam-6277	178	3	(	(	PUNCT
ejpam-6277	178	4	s	s	NOUN
ejpam-6277	178	5	)	)	PUNCT
ejpam-6277	178	6	=	=	SYM
ejpam-6277	178	7	e−s	e−s	ADJ
ejpam-6277	178	8	,	,	PUNCT
ejpam-6277	178	9	and	and	CCONJ
ejpam-6277	178	10	so	so	ADV
ejpam-6277	178	11	λ	λ	X
ejpam-6277	178	12	[	[	PUNCT
ejpam-6277	178	13	1	1	NUM
ejpam-6277	178	14	es	es	ADP
ejpam-6277	178	15	λ	λ	PROPN
ejpam-6277	178	16	[	[	X
ejpam-6277	178	17	q0e	q0e	X
ejpam-6277	178	18	s	s	PART
ejpam-6277	178	19	;	;	PUNCT
ejpam-6277	178	20	s0	s0	PROPN
ejpam-6277	178	21	,	,	PUNCT
ejpam-6277	178	22	s	s	PART
ejpam-6277	178	23	]	]	X
ejpam-6277	178	24	;	;	PUNCT
ejpam-6277	178	25	s0,∞	s0,∞	X
ejpam-6277	178	26	]	]	PUNCT
ejpam-6277	178	27	=	=	PUNCT
ejpam-6277	178	28	q0λ	q0λ	X
ejpam-6277	178	29	[	[	PUNCT
ejpam-6277	178	30	es	es	ADP
ejpam-6277	178	31	−	−	NOUN
ejpam-6277	178	32	es0	es0	NOUN
ejpam-6277	178	33	es	es	NOUN
ejpam-6277	178	34	;	;	PUNCT
ejpam-6277	178	35	s0,∞	s0,∞	X
ejpam-6277	178	36	]	]	PUNCT
ejpam-6277	178	37	=	=	SYM
ejpam-6277	178	38	∞	∞	PROPN
ejpam-6277	178	39	,	,	PUNCT
ejpam-6277	178	40	which	which	PRON
ejpam-6277	178	41	means	mean	VERB
ejpam-6277	178	42	that	that	SCONJ
ejpam-6277	178	43	condition	condition	NOUN
ejpam-6277	178	44	(	(	PUNCT
ejpam-6277	178	45	7	7	X
ejpam-6277	178	46	)	)	PUNCT
ejpam-6277	178	47	is	be	AUX
ejpam-6277	178	48	fulfilled	fulfil	VERB
ejpam-6277	178	49	.	.	PUNCT
ejpam-6277	179	1	now	now	ADV
ejpam-6277	179	2	,	,	PUNCT
ejpam-6277	179	3	condition	condition	NOUN
ejpam-6277	179	4	(	(	PUNCT
ejpam-6277	179	5	16	16	NUM
ejpam-6277	179	6	)	)	PUNCT
ejpam-6277	179	7	becomes	become	VERB
ejpam-6277	179	8	lim	lim	PROPN
ejpam-6277	179	9	inf	inf	PROPN
ejpam-6277	179	10	s→∞	s→∞	PROPN
ejpam-6277	179	11	λ	λ	PROPN
ejpam-6277	179	12	[	[	PUNCT
ejpam-6277	179	13	1	1	NUM
ejpam-6277	179	14	e−s	e−s	PROPN
ejpam-6277	179	15	λ	λ	PROPN
ejpam-6277	179	16	[	[	PUNCT
ejpam-6277	179	17	q0e	q0e	X
ejpam-6277	179	18	−s−h0	−s−h0	NOUN
ejpam-6277	179	19	;	;	PUNCT
ejpam-6277	179	20	s,∞	s,∞	PROPN
ejpam-6277	179	21	]	]	PUNCT
ejpam-6277	179	22	;	;	PUNCT
ejpam-6277	179	23	s	s	X
ejpam-6277	179	24	,	,	PUNCT
ejpam-6277	179	25	s+	s+	ADV
ejpam-6277	179	26	h0	h0	VERB
ejpam-6277	179	27	]	]	PUNCT
ejpam-6277	179	28	=	=	SYM
ejpam-6277	179	29	e−h0q0lim	e−h0q0lim	X
ejpam-6277	179	30	inf	inf	NOUN
ejpam-6277	179	31	s→∞	s→∞	ADJ
ejpam-6277	179	32	λ	λ	PROPN
ejpam-6277	180	1	[	[	X
ejpam-6277	180	2	1	1	NUM
ejpam-6277	180	3	;	;	PUNCT
ejpam-6277	180	4	s	s	X
ejpam-6277	180	5	,	,	PUNCT
ejpam-6277	180	6	s+	s+	ADV
ejpam-6277	180	7	h0	h0	PROPN
ejpam-6277	180	8	]	]	PUNCT
ejpam-6277	180	9	=	=	PUNCT
ejpam-6277	180	10	h0e	h0e	PROPN
ejpam-6277	180	11	−h0q0	−h0q0	PROPN
ejpam-6277	180	12	>	>	X
ejpam-6277	180	13	1	1	NUM
ejpam-6277	180	14	e	e	NOUN
ejpam-6277	180	15	.	.	PUNCT
ejpam-6277	181	1	it	it	PRON
ejpam-6277	181	2	follows	follow	VERB
ejpam-6277	181	3	from	from	ADP
ejpam-6277	181	4	theorem	theorem	ADJ
ejpam-6277	181	5	1	1	NUM
ejpam-6277	181	6	that	that	DET
ejpam-6277	181	7	equation	equation	NOUN
ejpam-6277	181	8	(	(	PUNCT
ejpam-6277	181	9	27	27	NUM
ejpam-6277	181	10	)	)	PUNCT
ejpam-6277	181	11	is	be	AUX
ejpam-6277	181	12	oscillatory	oscillatory	ADJ
ejpam-6277	181	13	if	if	SCONJ
ejpam-6277	181	14	q0	q0	PROPN
ejpam-6277	181	15	>	>	X
ejpam-6277	181	16	eh0	eh0	NOUN
ejpam-6277	181	17	eh0	eh0	NOUN
ejpam-6277	181	18	.	.	PUNCT
ejpam-6277	182	1	(	(	PUNCT
ejpam-6277	182	2	28	28	NUM
ejpam-6277	182	3	)	)	PUNCT
ejpam-6277	182	4	on	on	ADP
ejpam-6277	182	5	the	the	DET
ejpam-6277	182	6	other	other	ADJ
ejpam-6277	182	7	hand	hand	NOUN
ejpam-6277	182	8	,	,	PUNCT
ejpam-6277	182	9	by	by	ADP
ejpam-6277	182	10	choosing	choose	VERB
ejpam-6277	182	11	ψ	ψ	X
ejpam-6277	182	12	(	(	PUNCT
ejpam-6277	182	13	s	s	NOUN
ejpam-6277	182	14	)	)	PUNCT
ejpam-6277	182	15	=	=	SYM
ejpam-6277	182	16	e−s	e−s	ADJ
ejpam-6277	182	17	,	,	PUNCT
ejpam-6277	182	18	condition	condition	NOUN
ejpam-6277	182	19	(	(	PUNCT
ejpam-6277	182	20	17	17	NUM
ejpam-6277	182	21	)	)	PUNCT
ejpam-6277	182	22	reduces	reduce	VERB
ejpam-6277	182	23	to	to	ADP
ejpam-6277	182	24	lim	lim	PROPN
ejpam-6277	182	25	sup	sup	NOUN
ejpam-6277	182	26	s→∞	s→∞	NUM
ejpam-6277	182	27	λ	λ	NOUN
ejpam-6277	182	28	[	[	PUNCT
ejpam-6277	182	29	q0e	q0e	X
ejpam-6277	182	30	−h0	−h0	VERB
ejpam-6277	182	31	−	−	PROPN
ejpam-6277	182	32	1	1	NUM
ejpam-6277	182	33	4	4	NUM
ejpam-6277	182	34	;	;	PUNCT
ejpam-6277	182	35	s1	s1	NOUN
ejpam-6277	182	36	,	,	PUNCT
ejpam-6277	182	37	s	s	PART
ejpam-6277	182	38	]	]	PUNCT
ejpam-6277	182	39	>	>	X
ejpam-6277	182	40	1	1	NUM
ejpam-6277	182	41	from	from	ADP
ejpam-6277	182	42	theorem	theorem	ADJ
ejpam-6277	182	43	2	2	NUM
ejpam-6277	182	44	,	,	PUNCT
ejpam-6277	182	45	equation	equation	NOUN
ejpam-6277	182	46	(	(	PUNCT
ejpam-6277	182	47	27	27	NUM
ejpam-6277	182	48	)	)	PUNCT
ejpam-6277	182	49	is	be	AUX
ejpam-6277	182	50	oscillatory	oscillatory	ADJ
ejpam-6277	182	51	if	if	SCONJ
ejpam-6277	182	52	q0	q0	PROPN
ejpam-6277	182	53	>	>	X
ejpam-6277	182	54	eh0	eh0	PROPN
ejpam-6277	182	55	4	4	NUM
ejpam-6277	182	56	.	.	PUNCT
ejpam-6277	183	1	(	(	PUNCT
ejpam-6277	183	2	29	29	NUM
ejpam-6277	183	3	)	)	PUNCT
ejpam-6277	183	4	figure	figure	NOUN
ejpam-6277	183	5	1	1	NUM
ejpam-6277	183	6	shows	show	VERB
ejpam-6277	183	7	the	the	DET
ejpam-6277	183	8	minimum	minimum	ADJ
ejpam-6277	183	9	values	value	NOUN
ejpam-6277	183	10	of	of	ADP
ejpam-6277	183	11	q0	q0	PROPN
ejpam-6277	183	12	at	at	ADP
ejpam-6277	183	13	which	which	PRON
ejpam-6277	183	14	oscillation	oscillation	NOUN
ejpam-6277	183	15	occurs	occur	VERB
ejpam-6277	183	16	according	accord	VERB
ejpam-6277	183	17	to	to	ADP
ejpam-6277	183	18	criteria	criterion	NOUN
ejpam-6277	183	19	(	(	PUNCT
ejpam-6277	183	20	28	28	NUM
ejpam-6277	183	21	)	)	PUNCT
ejpam-6277	183	22	and	and	CCONJ
ejpam-6277	183	23	(	(	PUNCT
ejpam-6277	183	24	29	29	NUM
ejpam-6277	183	25	)	)	PUNCT
ejpam-6277	183	26	.	.	PUNCT
ejpam-6277	184	1	we	we	PRON
ejpam-6277	184	2	notice	notice	VERB
ejpam-6277	184	3	that	that	SCONJ
ejpam-6277	184	4	criterion	criterion	NOUN
ejpam-6277	184	5	(	(	PUNCT
ejpam-6277	184	6	28	28	NUM
ejpam-6277	184	7	)	)	PUNCT
ejpam-6277	184	8	is	be	AUX
ejpam-6277	184	9	more	more	ADV
ejpam-6277	184	10	efficient	efficient	ADJ
ejpam-6277	184	11	during	during	ADP
ejpam-6277	184	12	h0	h0	PROPN
ejpam-6277	184	13	≥	≥	NUM
ejpam-6277	184	14	4	4	NUM
ejpam-6277	184	15	e	e	NOUN
ejpam-6277	184	16	,	,	PUNCT
ejpam-6277	184	17	while	while	SCONJ
ejpam-6277	184	18	criterion	criterion	NOUN
ejpam-6277	184	19	(	(	PUNCT
ejpam-6277	184	20	29	29	NUM
ejpam-6277	184	21	)	)	PUNCT
ejpam-6277	184	22	is	be	AUX
ejpam-6277	184	23	superior	superior	ADJ
ejpam-6277	184	24	for	for	ADP
ejpam-6277	184	25	h0	h0	PROPN
ejpam-6277	184	26	∈	∈	PROPN
ejpam-6277	184	27	[	[	PUNCT
ejpam-6277	184	28	1	1	NUM
ejpam-6277	184	29	,	,	PUNCT
ejpam-6277	184	30	4e	4e	NOUN
ejpam-6277	184	31	]	]	PUNCT
ejpam-6277	184	32	.	.	PUNCT
ejpam-6277	185	1	acknowledgements	acknowledgement	NOUN
ejpam-6277	185	2	the	the	DET
ejpam-6277	185	3	authors	author	NOUN
ejpam-6277	185	4	gratefully	gratefully	ADV
ejpam-6277	185	5	acknowledge	acknowledge	VERB
ejpam-6277	185	6	qassim	qassim	PROPN
ejpam-6277	185	7	university	university	PROPN
ejpam-6277	185	8	,	,	PUNCT
ejpam-6277	185	9	represented	represent	VERB
ejpam-6277	185	10	by	by	ADP
ejpam-6277	185	11	the	the	DET
ejpam-6277	185	12	deanship	deanship	NOUN
ejpam-6277	185	13	of	of	ADP
ejpam-6277	185	14	graduate	graduate	NOUN
ejpam-6277	185	15	studies	study	NOUN
ejpam-6277	185	16	and	and	CCONJ
ejpam-6277	185	17	scientific	scientific	ADJ
ejpam-6277	185	18	research	research	NOUN
ejpam-6277	185	19	,	,	PUNCT
ejpam-6277	185	20	on	on	ADP
ejpam-6277	185	21	the	the	DET
ejpam-6277	185	22	financial	financial	ADJ
ejpam-6277	185	23	support	support	NOUN
ejpam-6277	185	24	for	for	ADP
ejpam-6277	185	25	this	this	DET
ejpam-6277	185	26	research	research	NOUN
ejpam-6277	185	27	under	under	ADP
ejpam-6277	185	28	the	the	DET
ejpam-6277	185	29	number	number	NOUN
ejpam-6277	185	30	(	(	PUNCT
ejpam-6277	185	31	qu	qu	PROPN
ejpam-6277	185	32	-	-	PROPN
ejpam-6277	185	33	j	j	NOUN
ejpam-6277	185	34	-	-	PUNCT
ejpam-6277	185	35	pg-2	pg-2	NOUN
ejpam-6277	185	36	-	-	PUNCT
ejpam-6277	185	37	2025	2025	NUM
ejpam-6277	185	38	-	-	PUNCT
ejpam-6277	185	39	55703	55703	NUM
ejpam-6277	185	40	)	)	PUNCT
ejpam-6277	185	41	during	during	ADP
ejpam-6277	185	42	the	the	DET
ejpam-6277	185	43	academic	academic	ADJ
ejpam-6277	185	44	year	year	NOUN
ejpam-6277	185	45	1446ah	1446ah	PROPN
ejpam-6277	185	46	/	/	SYM
ejpam-6277	185	47	2024	2024	NUM
ejpam-6277	185	48	ad	ad	NOUN
ejpam-6277	185	49	.	.	PUNCT
ejpam-6277	186	1	conflict	conflict	NOUN
ejpam-6277	186	2	of	of	ADP
ejpam-6277	186	3	interest	interest	NOUN
ejpam-6277	186	4	the	the	DET
ejpam-6277	186	5	authors	author	NOUN
ejpam-6277	186	6	declare	declare	VERB
ejpam-6277	186	7	there	there	PRON
ejpam-6277	186	8	is	be	VERB
ejpam-6277	186	9	no	no	DET
ejpam-6277	186	10	conflicts	conflict	NOUN
ejpam-6277	186	11	of	of	ADP
ejpam-6277	186	12	interest	interest	NOUN
ejpam-6277	186	13	.	.	PUNCT
ejpam-6277	187	1	w.	w.	PROPN
ejpam-6277	187	2	alhaysuni	alhaysuni	PROPN
ejpam-6277	187	3	,	,	PUNCT
ejpam-6277	187	4	s.	s.	PROPN
ejpam-6277	187	5	f.	f.	PROPN
ejpam-6277	187	6	aljurbua	aljurbua	PROPN
ejpam-6277	187	7	,	,	PUNCT
ejpam-6277	187	8	o.	o.	PROPN
ejpam-6277	187	9	moaaz	moaaz	PROPN
ejpam-6277	187	10	/	/	SYM
ejpam-6277	187	11	eur	eur	PROPN
ejpam-6277	187	12	.	.	PUNCT
ejpam-6277	188	1	j.	j.	PROPN
ejpam-6277	188	2	pure	pure	PROPN
ejpam-6277	188	3	appl	appl	PROPN
ejpam-6277	188	4	.	.	PROPN
ejpam-6277	188	5	math	math	PROPN
ejpam-6277	188	6	,	,	PUNCT
ejpam-6277	188	7	18	18	NUM
ejpam-6277	188	8	(	(	PUNCT
ejpam-6277	188	9	3	3	NUM
ejpam-6277	188	10	)	)	PUNCT
ejpam-6277	188	11	(	(	PUNCT
ejpam-6277	188	12	2025	2025	NUM
ejpam-6277	188	13	)	)	PUNCT
ejpam-6277	188	14	,	,	PUNCT
ejpam-6277	188	15	6277	6277	NUM
ejpam-6277	188	16	10	10	NUM
ejpam-6277	188	17	of	of	ADP
ejpam-6277	188	18	11	11	NUM
ejpam-6277	188	19	figure	figure	NOUN
ejpam-6277	188	20	1	1	NUM
ejpam-6277	188	21	:	:	PUNCT
ejpam-6277	188	22	comparison	comparison	NOUN
ejpam-6277	188	23	of	of	ADP
ejpam-6277	188	24	minimum	minimum	ADJ
ejpam-6277	188	25	values	value	NOUN
ejpam-6277	188	26	of	of	ADP
ejpam-6277	188	27	q0	q0	PROPN
ejpam-6277	188	28	for	for	ADP
ejpam-6277	188	29	criteria	criterion	NOUN
ejpam-6277	188	30	(	(	PUNCT
ejpam-6277	188	31	28	28	NUM
ejpam-6277	188	32	)	)	PUNCT
ejpam-6277	188	33	and	and	CCONJ
ejpam-6277	188	34	(	(	PUNCT
ejpam-6277	188	35	29	29	NUM
ejpam-6277	188	36	)	)	PUNCT
ejpam-6277	188	37	references	reference	NOUN
ejpam-6277	188	38	[	[	X
ejpam-6277	188	39	1	1	NUM
ejpam-6277	188	40	]	]	X
ejpam-6277	188	41	martin	martin	PROPN
ejpam-6277	188	42	braun	braun	PROPN
ejpam-6277	188	43	and	and	CCONJ
ejpam-6277	188	44	martin	martin	PROPN
ejpam-6277	188	45	golubitsky	golubitsky	PROPN
ejpam-6277	188	46	.	.	PUNCT
ejpam-6277	189	1	differential	differential	ADJ
ejpam-6277	189	2	equations	equation	NOUN
ejpam-6277	189	3	and	and	CCONJ
ejpam-6277	189	4	their	their	PRON
ejpam-6277	189	5	applications	application	NOUN
ejpam-6277	189	6	,	,	PUNCT
ejpam-6277	189	7	volume	volume	NOUN
ejpam-6277	189	8	2	2	NUM
ejpam-6277	189	9	.	.	PUNCT
ejpam-6277	189	10	springer	springer	NOUN
ejpam-6277	189	11	,	,	PUNCT
ejpam-6277	189	12	1983	1983	NUM
ejpam-6277	189	13	.	.	PUNCT
ejpam-6277	190	1	[	[	X
ejpam-6277	190	2	2	2	NUM
ejpam-6277	190	3	]	]	PUNCT
ejpam-6277	190	4	sim	sim	ADJ
ejpam-6277	190	5	borisovich	borisovich	NOUN
ejpam-6277	190	6	norkin	norkin	PROPN
ejpam-6277	190	7	et	et	PROPN
ejpam-6277	190	8	al	al	PROPN
ejpam-6277	190	9	.	.	PROPN
ejpam-6277	190	10	introduction	introduction	NOUN
ejpam-6277	190	11	to	to	ADP
ejpam-6277	190	12	the	the	DET
ejpam-6277	190	13	theory	theory	NOUN
ejpam-6277	190	14	and	and	CCONJ
ejpam-6277	190	15	application	application	NOUN
ejpam-6277	190	16	of	of	ADP
ejpam-6277	190	17	differential	differential	ADJ
ejpam-6277	190	18	equations	equation	NOUN
ejpam-6277	190	19	with	with	ADP
ejpam-6277	190	20	deviating	deviate	VERB
ejpam-6277	190	21	arguments	argument	NOUN
ejpam-6277	190	22	,	,	PUNCT
ejpam-6277	190	23	volume	volume	NOUN
ejpam-6277	190	24	105	105	NUM
ejpam-6277	190	25	.	.	PUNCT
ejpam-6277	191	1	academic	academic	ADJ
ejpam-6277	191	2	press	press	NOUN
ejpam-6277	191	3	,	,	PUNCT
ejpam-6277	191	4	1973	1973	NUM
ejpam-6277	191	5	.	.	PUNCT
ejpam-6277	192	1	[	[	X
ejpam-6277	192	2	3	3	NUM
ejpam-6277	192	3	]	]	X
ejpam-6277	192	4	fathalla	fathalla	NOUN
ejpam-6277	192	5	a.	a.	NOUN
ejpam-6277	192	6	rihan	rihan	NOUN
ejpam-6277	192	7	.	.	PUNCT
ejpam-6277	193	1	delay	delay	NOUN
ejpam-6277	193	2	differential	differential	ADJ
ejpam-6277	193	3	equations	equation	NOUN
ejpam-6277	193	4	and	and	CCONJ
ejpam-6277	193	5	applications	application	NOUN
ejpam-6277	193	6	to	to	ADP
ejpam-6277	193	7	biology	biology	NOUN
ejpam-6277	193	8	.	.	PUNCT
ejpam-6277	194	1	january	january	PROPN
ejpam-6277	194	2	2021	2021	NUM
ejpam-6277	194	3	.	.	PUNCT
ejpam-6277	195	1	[	[	X
ejpam-6277	195	2	4	4	X
ejpam-6277	195	3	]	]	X
ejpam-6277	195	4	irving	irving	PROPN
ejpam-6277	195	5	r.	r.	PROPN
ejpam-6277	195	6	epstein	epstein	PROPN
ejpam-6277	195	7	and	and	CCONJ
ejpam-6277	195	8	john	john	PROPN
ejpam-6277	195	9	a.	a.	PROPN
ejpam-6277	195	10	pojman	pojman	PROPN
ejpam-6277	195	11	.	.	PUNCT
ejpam-6277	196	1	an	an	DET
ejpam-6277	196	2	introduction	introduction	NOUN
ejpam-6277	196	3	to	to	ADP
ejpam-6277	196	4	nonlinear	nonlinear	ADJ
ejpam-6277	196	5	chemical	chemical	NOUN
ejpam-6277	196	6	dynamics	dynamic	NOUN
ejpam-6277	196	7	.	.	PUNCT
ejpam-6277	197	1	november	november	PROPN
ejpam-6277	197	2	1998	1998	NUM
ejpam-6277	197	3	.	.	PUNCT
ejpam-6277	198	1	[	[	X
ejpam-6277	198	2	5	5	X
ejpam-6277	198	3	]	]	X
ejpam-6277	198	4	john	john	PROPN
ejpam-6277	198	5	vandermeer	vandermeer	PROPN
ejpam-6277	198	6	.	.	PUNCT
ejpam-6277	199	1	oscillating	oscillate	VERB
ejpam-6277	199	2	populations	population	NOUN
ejpam-6277	199	3	and	and	CCONJ
ejpam-6277	199	4	biodiversity	biodiversity	NOUN
ejpam-6277	199	5	maintenance	maintenance	NOUN
ejpam-6277	199	6	.	.	PUNCT
ejpam-6277	200	1	bioscience	bioscience	NOUN
ejpam-6277	200	2	,	,	PUNCT
ejpam-6277	200	3	56(12):967	56(12):967	NUM
ejpam-6277	200	4	,	,	PUNCT
ejpam-6277	200	5	january	january	PROPN
ejpam-6277	200	6	2006	2006	NUM
ejpam-6277	200	7	.	.	PUNCT
ejpam-6277	201	1	[	[	X
ejpam-6277	201	2	6	6	NUM
ejpam-6277	201	3	]	]	PUNCT
ejpam-6277	201	4	ravi	ravi	NOUN
ejpam-6277	201	5	p	p	PROPN
ejpam-6277	201	6	agarwal	agarwal	PROPN
ejpam-6277	201	7	,	,	PUNCT
ejpam-6277	201	8	said	say	VERB
ejpam-6277	201	9	r	r	NOUN
ejpam-6277	201	10	grace	grace	NOUN
ejpam-6277	201	11	,	,	PUNCT
ejpam-6277	201	12	and	and	CCONJ
ejpam-6277	201	13	donal	donal	PROPN
ejpam-6277	201	14	o’regan	o’regan	PROPN
ejpam-6277	201	15	.	.	PUNCT
ejpam-6277	202	1	oscillation	oscillation	NOUN
ejpam-6277	202	2	theory	theory	NOUN
ejpam-6277	202	3	for	for	ADP
ejpam-6277	202	4	second	second	ADJ
ejpam-6277	202	5	order	order	NOUN
ejpam-6277	202	6	linear	linear	ADJ
ejpam-6277	202	7	,	,	PUNCT
ejpam-6277	202	8	half	half	ADJ
ejpam-6277	202	9	-	-	PUNCT
ejpam-6277	202	10	linear	linear	ADJ
ejpam-6277	202	11	,	,	PUNCT
ejpam-6277	202	12	superlinear	superlinear	NOUN
ejpam-6277	202	13	and	and	CCONJ
ejpam-6277	202	14	sublinear	sublinear	VERB
ejpam-6277	202	15	dynamic	dynamic	ADJ
ejpam-6277	202	16	equations	equation	NOUN
ejpam-6277	202	17	.	.	PUNCT
ejpam-6277	203	1	springer	springer	NOUN
ejpam-6277	203	2	science	science	PROPN
ejpam-6277	203	3	&	&	CCONJ
ejpam-6277	203	4	business	business	NOUN
ejpam-6277	203	5	media	medium	NOUN
ejpam-6277	203	6	,	,	PUNCT
ejpam-6277	203	7	2013	2013	NUM
ejpam-6277	203	8	.	.	PUNCT
ejpam-6277	204	1	[	[	X
ejpam-6277	204	2	7	7	X
ejpam-6277	204	3	]	]	X
ejpam-6277	204	4	george	george	PROPN
ejpam-6277	204	5	e.	e.	PROPN
ejpam-6277	204	6	chatzarakis	chatzarakis	PROPN
ejpam-6277	204	7	and	and	CCONJ
ejpam-6277	204	8	irena	irena	PROPN
ejpam-6277	204	9	jadlovsk	jadlovsk	PROPN
ejpam-6277	204	10	.	.	PUNCT
ejpam-6277	205	1	improved	improve	VERB
ejpam-6277	205	2	oscillation	oscillation	NOUN
ejpam-6277	205	3	results	result	NOUN
ejpam-6277	205	4	for	for	ADP
ejpam-6277	205	5	secondorder	secondorder	ADJ
ejpam-6277	205	6	half	half	ADJ
ejpam-6277	205	7	-	-	PUNCT
ejpam-6277	205	8	linear	linear	ADJ
ejpam-6277	205	9	delay	delay	NOUN
ejpam-6277	205	10	differential	differential	ADJ
ejpam-6277	205	11	equations	equation	NOUN
ejpam-6277	205	12	.	.	PUNCT
ejpam-6277	206	1	hacettepe	hacettepe	PROPN
ejpam-6277	206	2	journal	journal	PROPN
ejpam-6277	206	3	of	of	ADP
ejpam-6277	206	4	mathematics	mathematic	NOUN
ejpam-6277	206	5	and	and	CCONJ
ejpam-6277	206	6	statistics	statistic	NOUN
ejpam-6277	206	7	,	,	PUNCT
ejpam-6277	206	8	47(6	47(6	NUM
ejpam-6277	206	9	)	)	PUNCT
ejpam-6277	206	10	,	,	PUNCT
ejpam-6277	206	11	november	november	PROPN
ejpam-6277	206	12	2017	2017	NUM
ejpam-6277	206	13	.	.	PUNCT
ejpam-6277	207	1	[	[	X
ejpam-6277	207	2	8	8	X
ejpam-6277	207	3	]	]	X
ejpam-6277	207	4	osama	osama	NOUN
ejpam-6277	207	5	moaaz	moaaz	NOUN
ejpam-6277	207	6	and	and	CCONJ
ejpam-6277	207	7	higinio	higinio	PROPN
ejpam-6277	207	8	ramos	ramos	PROPN
ejpam-6277	207	9	.	.	PUNCT
ejpam-6277	208	1	on	on	ADP
ejpam-6277	208	2	the	the	DET
ejpam-6277	208	3	oscillation	oscillation	NOUN
ejpam-6277	208	4	of	of	ADP
ejpam-6277	208	5	second	second	ADJ
ejpam-6277	208	6	-	-	PUNCT
ejpam-6277	208	7	order	order	NOUN
ejpam-6277	208	8	functional	functional	ADJ
ejpam-6277	208	9	differential	differential	ADJ
ejpam-6277	208	10	equations	equation	NOUN
ejpam-6277	208	11	with	with	ADP
ejpam-6277	208	12	a	a	DET
ejpam-6277	208	13	delayed	delay	VERB
ejpam-6277	208	14	damping	damp	VERB
ejpam-6277	208	15	term	term	NOUN
ejpam-6277	208	16	.	.	PUNCT
ejpam-6277	209	1	applied	apply	VERB
ejpam-6277	209	2	mathematics	mathematics	NOUN
ejpam-6277	209	3	letters	letter	NOUN
ejpam-6277	209	4	,	,	PUNCT
ejpam-6277	209	5	page	page	NOUN
ejpam-6277	209	6	109464	109464	NUM
ejpam-6277	209	7	,	,	PUNCT
ejpam-6277	209	8	january	january	PROPN
ejpam-6277	209	9	2025	2025	NUM
ejpam-6277	209	10	.	.	PUNCT
ejpam-6277	210	1	[	[	X
ejpam-6277	210	2	9	9	NUM
ejpam-6277	210	3	]	]	PUNCT
ejpam-6277	210	4	jozef	jozef	PROPN
ejpam-6277	210	5	džurina	džurina	PROPN
ejpam-6277	210	6	and	and	CCONJ
ejpam-6277	210	7	irena	irena	PROPN
ejpam-6277	210	8	jadlovska	jadlovska	PROPN
ejpam-6277	210	9	.	.	PUNCT
ejpam-6277	211	1	a	a	DET
ejpam-6277	211	2	sharp	sharp	ADJ
ejpam-6277	211	3	oscillation	oscillation	NOUN
ejpam-6277	211	4	result	result	NOUN
ejpam-6277	211	5	for	for	ADP
ejpam-6277	211	6	second	second	ADJ
ejpam-6277	211	7	-	-	PUNCT
ejpam-6277	211	8	order	order	NOUN
ejpam-6277	211	9	halflinear	halflinear	ADJ
ejpam-6277	211	10	noncanonical	noncanonical	ADJ
ejpam-6277	211	11	delay	delay	NOUN
ejpam-6277	211	12	differential	differential	NOUN
ejpam-6277	211	13	equations	equation	NOUN
ejpam-6277	211	14	.	.	PUNCT
ejpam-6277	212	1	electronic	electronic	ADJ
ejpam-6277	212	2	journal	journal	NOUN
ejpam-6277	212	3	of	of	ADP
ejpam-6277	212	4	qualitative	qualitative	ADJ
ejpam-6277	212	5	theory	theory	NOUN
ejpam-6277	212	6	of	of	ADP
ejpam-6277	212	7	differential	differential	ADJ
ejpam-6277	212	8	equations	equation	NOUN
ejpam-6277	212	9	,	,	PUNCT
ejpam-6277	212	10	(	(	PUNCT
ejpam-6277	212	11	46):1–14	46):1–14	NUM
ejpam-6277	212	12	,	,	PUNCT
ejpam-6277	212	13	january	january	PROPN
ejpam-6277	212	14	2020	2020	NUM
ejpam-6277	212	15	.	.	PUNCT
ejpam-6277	213	1	[	[	X
ejpam-6277	213	2	10	10	NUM
ejpam-6277	213	3	]	]	X
ejpam-6277	213	4	taher	taher	PROPN
ejpam-6277	213	5	s	s	PROPN
ejpam-6277	213	6	hassan	hassan	PROPN
ejpam-6277	213	7	,	,	PUNCT
ejpam-6277	213	8	clemente	clemente	PROPN
ejpam-6277	213	9	cesarano	cesarano	PROPN
ejpam-6277	213	10	,	,	PUNCT
ejpam-6277	213	11	mouataz	mouataz	PROPN
ejpam-6277	213	12	billah	billah	PROPN
ejpam-6277	213	13	mesmouli	mesmouli	PROPN
ejpam-6277	213	14	,	,	PUNCT
ejpam-6277	213	15	hasan	hasan	PROPN
ejpam-6277	213	16	nihal	nihal	PROPN
ejpam-6277	213	17	zaidi	zaidi	PROPN
ejpam-6277	213	18	,	,	PUNCT
ejpam-6277	213	19	and	and	CCONJ
ejpam-6277	213	20	ismoil	ismoil	PROPN
ejpam-6277	213	21	odinaev	odinaev	PROPN
ejpam-6277	213	22	.	.	PUNCT
ejpam-6277	214	1	iterative	iterative	PROPN
ejpam-6277	214	2	hille	hille	NOUN
ejpam-6277	214	3	-	-	PUNCT
ejpam-6277	214	4	type	type	NOUN
ejpam-6277	214	5	oscillation	oscillation	NOUN
ejpam-6277	214	6	criteria	criterion	NOUN
ejpam-6277	214	7	of	of	ADP
ejpam-6277	214	8	half	half	ADJ
ejpam-6277	214	9	-	-	PUNCT
ejpam-6277	214	10	linear	linear	ADJ
ejpam-6277	214	11	advanced	advanced	ADJ
ejpam-6277	214	12	dynamic	dynamic	ADJ
ejpam-6277	214	13	equations	equation	NOUN
ejpam-6277	214	14	of	of	ADP
ejpam-6277	214	15	second	second	ADJ
ejpam-6277	214	16	order	order	NOUN
ejpam-6277	214	17	.	.	PUNCT
ejpam-6277	215	1	mathematical	mathematical	ADJ
ejpam-6277	215	2	methods	method	NOUN
ejpam-6277	215	3	in	in	ADP
ejpam-6277	215	4	the	the	DET
ejpam-6277	215	5	applied	apply	VERB
ejpam-6277	215	6	sciences	science	NOUN
ejpam-6277	215	7	,	,	PUNCT
ejpam-6277	215	8	47(7):5651–5663	47(7):5651–5663	NUM
ejpam-6277	215	9	,	,	PUNCT
ejpam-6277	215	10	2024	2024	NUM
ejpam-6277	215	11	.	.	PUNCT
ejpam-6277	216	1	[	[	X
ejpam-6277	216	2	11	11	NUM
ejpam-6277	216	3	]	]	X
ejpam-6277	216	4	george	george	PROPN
ejpam-6277	216	5	e	e	PROPN
ejpam-6277	216	6	chatzarakis	chatzarakis	PROPN
ejpam-6277	216	7	,	,	PUNCT
ejpam-6277	216	8	j	j	PROPN
ejpam-6277	216	9	džurina	džurina	NOUN
ejpam-6277	216	10	,	,	PUNCT
ejpam-6277	216	11	and	and	CCONJ
ejpam-6277	216	12	irena	irena	PROPN
ejpam-6277	216	13	jadlovská.	jadlovská.	PROPN
ejpam-6277	216	14	new	new	ADJ
ejpam-6277	216	15	oscillation	oscillation	NOUN
ejpam-6277	216	16	criteria	criterion	NOUN
ejpam-6277	216	17	for	for	ADP
ejpam-6277	216	18	w.	w.	PROPN
ejpam-6277	216	19	alhaysuni	alhaysuni	PROPN
ejpam-6277	216	20	,	,	PUNCT
ejpam-6277	216	21	s.	s.	PROPN
ejpam-6277	216	22	f.	f.	PROPN
ejpam-6277	216	23	aljurbua	aljurbua	PROPN
ejpam-6277	216	24	,	,	PUNCT
ejpam-6277	216	25	o.	o.	PROPN
ejpam-6277	216	26	moaaz	moaaz	PROPN
ejpam-6277	216	27	/	/	SYM
ejpam-6277	216	28	eur	eur	PROPN
ejpam-6277	216	29	.	.	PUNCT
ejpam-6277	217	1	j.	j.	PROPN
ejpam-6277	217	2	pure	pure	PROPN
ejpam-6277	217	3	appl	appl	PROPN
ejpam-6277	217	4	.	.	PROPN
ejpam-6277	217	5	math	math	PROPN
ejpam-6277	217	6	,	,	PUNCT
ejpam-6277	217	7	18	18	NUM
ejpam-6277	217	8	(	(	PUNCT
ejpam-6277	217	9	3	3	NUM
ejpam-6277	217	10	)	)	PUNCT
ejpam-6277	217	11	(	(	PUNCT
ejpam-6277	217	12	2025	2025	NUM
ejpam-6277	217	13	)	)	PUNCT
ejpam-6277	217	14	,	,	PUNCT
ejpam-6277	217	15	6277	6277	NUM
ejpam-6277	217	16	11	11	NUM
ejpam-6277	217	17	of	of	ADP
ejpam-6277	217	18	11	11	NUM
ejpam-6277	217	19	second	second	ADJ
ejpam-6277	217	20	-	-	PUNCT
ejpam-6277	217	21	order	order	NOUN
ejpam-6277	217	22	half	half	ADJ
ejpam-6277	217	23	-	-	PUNCT
ejpam-6277	217	24	linear	linear	ADJ
ejpam-6277	217	25	advanced	advanced	ADJ
ejpam-6277	217	26	differential	differential	ADJ
ejpam-6277	217	27	equations	equation	NOUN
ejpam-6277	217	28	.	.	PUNCT
ejpam-6277	218	1	applied	apply	VERB
ejpam-6277	218	2	mathematics	mathematic	NOUN
ejpam-6277	218	3	and	and	CCONJ
ejpam-6277	218	4	computation	computation	NOUN
ejpam-6277	218	5	,	,	PUNCT
ejpam-6277	218	6	347:404–416	347:404–416	NUM
ejpam-6277	218	7	,	,	PUNCT
ejpam-6277	218	8	2019	2019	NUM
ejpam-6277	218	9	.	.	PUNCT
ejpam-6277	219	1	[	[	X
ejpam-6277	219	2	12	12	NUM
ejpam-6277	219	3	]	]	X
ejpam-6277	219	4	martin	martin	PROPN
ejpam-6277	219	5	bohner	bohner	PROPN
ejpam-6277	219	6	,	,	PUNCT
ejpam-6277	219	7	kumar	kumar	PROPN
ejpam-6277	219	8	s	s	PART
ejpam-6277	219	9	vıdhyaa	vıdhyaa	NOUN
ejpam-6277	219	10	,	,	PUNCT
ejpam-6277	219	11	and	and	CCONJ
ejpam-6277	219	12	ethiraju	ethiraju	NOUN
ejpam-6277	219	13	thandapani	thandapani	NOUN
ejpam-6277	219	14	.	.	PUNCT
ejpam-6277	220	1	oscillation	oscillation	NOUN
ejpam-6277	220	2	of	of	ADP
ejpam-6277	220	3	noncanonical	noncanonical	ADJ
ejpam-6277	220	4	second	second	ADJ
ejpam-6277	220	5	-	-	PUNCT
ejpam-6277	220	6	order	order	NOUN
ejpam-6277	220	7	advanced	advanced	ADJ
ejpam-6277	220	8	differential	differential	ADJ
ejpam-6277	220	9	equations	equation	NOUN
ejpam-6277	220	10	via	via	ADP
ejpam-6277	220	11	canonical	canonical	ADJ
ejpam-6277	220	12	transform	transform	NOUN
ejpam-6277	220	13	.	.	PUNCT
ejpam-6277	221	1	constructive	constructive	ADJ
ejpam-6277	221	2	mathematical	mathematical	ADJ
ejpam-6277	221	3	analysis	analysis	NOUN
ejpam-6277	221	4	,	,	PUNCT
ejpam-6277	221	5	5(1):7–13	5(1):7–13	NUM
ejpam-6277	221	6	,	,	PUNCT
ejpam-6277	221	7	2022	2022	NUM
ejpam-6277	221	8	.	.	PUNCT
ejpam-6277	222	1	[	[	X
ejpam-6277	222	2	13	13	NUM
ejpam-6277	222	3	]	]	SYM
ejpam-6277	222	4	blanka	blanka	PROPN
ejpam-6277	222	5	bacuĺıková.	bacuĺıková.	PROPN
ejpam-6277	222	6	oscillatory	oscillatory	ADJ
ejpam-6277	222	7	behavior	behavior	NOUN
ejpam-6277	222	8	of	of	ADP
ejpam-6277	222	9	the	the	DET
ejpam-6277	222	10	second	second	ADJ
ejpam-6277	222	11	order	order	NOUN
ejpam-6277	222	12	noncanonical	noncanonical	ADJ
ejpam-6277	222	13	differential	differential	NOUN
ejpam-6277	222	14	equations	equation	NOUN
ejpam-6277	222	15	.	.	PUNCT
ejpam-6277	223	1	electronic	electronic	ADJ
ejpam-6277	223	2	journal	journal	NOUN
ejpam-6277	223	3	of	of	ADP
ejpam-6277	223	4	qualitative	qualitative	ADJ
ejpam-6277	223	5	theory	theory	NOUN
ejpam-6277	223	6	of	of	ADP
ejpam-6277	223	7	differential	differential	ADJ
ejpam-6277	223	8	equations	equation	NOUN
ejpam-6277	223	9	,	,	PUNCT
ejpam-6277	223	10	2019(89):1–11	2019(89):1–11	PROPN
ejpam-6277	223	11	,	,	PUNCT
ejpam-6277	223	12	2019	2019	NUM
ejpam-6277	223	13	.	.	PUNCT
ejpam-6277	224	1	[	[	X
ejpam-6277	224	2	14	14	NUM
ejpam-6277	224	3	]	]	X
ejpam-6277	224	4	john	john	PROPN
ejpam-6277	224	5	r	r	PROPN
ejpam-6277	224	6	graef	graef	NOUN
ejpam-6277	224	7	.	.	PUNCT
ejpam-6277	225	1	oscillation	oscillation	NOUN
ejpam-6277	225	2	of	of	ADP
ejpam-6277	225	3	higher	high	ADJ
ejpam-6277	225	4	order	order	NOUN
ejpam-6277	225	5	functional	functional	ADJ
ejpam-6277	225	6	differential	differential	ADJ
ejpam-6277	225	7	equations	equation	NOUN
ejpam-6277	225	8	with	with	ADP
ejpam-6277	225	9	an	an	DET
ejpam-6277	225	10	advanced	advanced	ADJ
ejpam-6277	225	11	argument	argument	NOUN
ejpam-6277	225	12	.	.	PUNCT
ejpam-6277	226	1	applied	apply	VERB
ejpam-6277	226	2	mathematics	mathematics	NOUN
ejpam-6277	226	3	letters	letter	NOUN
ejpam-6277	226	4	,	,	PUNCT
ejpam-6277	226	5	111:106685	111:106685	NUM
ejpam-6277	226	6	,	,	PUNCT
ejpam-6277	226	7	2021	2021	NUM
ejpam-6277	226	8	.	.	PUNCT
ejpam-6277	227	1	[	[	X
ejpam-6277	227	2	15	15	NUM
ejpam-6277	227	3	]	]	X
ejpam-6277	227	4	osama	osama	NOUN
ejpam-6277	227	5	moaaz	moaaz	PROPN
ejpam-6277	227	6	,	,	PUNCT
ejpam-6277	227	7	asma	asma	PROPN
ejpam-6277	227	8	al	al	PROPN
ejpam-6277	227	9	-	-	PUNCT
ejpam-6277	227	10	jaser	jaser	NOUN
ejpam-6277	227	11	,	,	PUNCT
ejpam-6277	227	12	and	and	CCONJ
ejpam-6277	227	13	amira	amira	PROPN
ejpam-6277	227	14	essam	essam	PROPN
ejpam-6277	227	15	.	.	PUNCT
ejpam-6277	228	1	new	new	ADJ
ejpam-6277	228	2	comparison	comparison	NOUN
ejpam-6277	228	3	theorems	theorem	VERB
ejpam-6277	228	4	for	for	ADP
ejpam-6277	228	5	testing	test	VERB
ejpam-6277	228	6	the	the	DET
ejpam-6277	228	7	oscillation	oscillation	NOUN
ejpam-6277	228	8	of	of	ADP
ejpam-6277	228	9	solutions	solution	NOUN
ejpam-6277	228	10	of	of	ADP
ejpam-6277	228	11	fourth	fourth	ADJ
ejpam-6277	228	12	-	-	PUNCT
ejpam-6277	228	13	order	order	NOUN
ejpam-6277	228	14	differential	differential	ADJ
ejpam-6277	228	15	equations	equation	NOUN
ejpam-6277	228	16	with	with	ADP
ejpam-6277	228	17	a	a	DET
ejpam-6277	228	18	variable	variable	ADJ
ejpam-6277	228	19	argument	argument	NOUN
ejpam-6277	228	20	.	.	PUNCT
ejpam-6277	229	1	electronic	electronic	ADJ
ejpam-6277	229	2	research	research	NOUN
ejpam-6277	229	3	archive	archive	NOUN
ejpam-6277	229	4	,	,	PUNCT
ejpam-6277	229	5	33(7):4075–4090	33(7):4075–4090	NUM
ejpam-6277	229	6	,	,	PUNCT
ejpam-6277	229	7	2025	2025	NUM
ejpam-6277	229	8	.	.	PUNCT
ejpam-6277	230	1	[	[	X
ejpam-6277	230	2	16	16	NUM
ejpam-6277	230	3	]	]	X
ejpam-6277	230	4	muhammad	muhammad	PROPN
ejpam-6277	230	5	bilal	bilal	PROPN
ejpam-6277	230	6	,	,	PUNCT
ejpam-6277	230	7	javed	javed	PROPN
ejpam-6277	230	8	iqbal	iqbal	PROPN
ejpam-6277	230	9	,	,	PUNCT
ejpam-6277	230	10	rashid	rashid	PROPN
ejpam-6277	230	11	ali	ali	PROPN
ejpam-6277	230	12	,	,	PUNCT
ejpam-6277	230	13	fuad	fuad	PROPN
ejpam-6277	230	14	a.	a.	PROPN
ejpam-6277	230	15	awwad	awwad	PROPN
ejpam-6277	230	16	,	,	PUNCT
ejpam-6277	230	17	and	and	CCONJ
ejpam-6277	230	18	emad	emad	PROPN
ejpam-6277	230	19	a.	a.	PROPN
ejpam-6277	230	20	a.	a.	PROPN
ejpam-6277	230	21	ismail	ismail	PROPN
ejpam-6277	230	22	.	.	PUNCT
ejpam-6277	231	1	exploring	explore	VERB
ejpam-6277	231	2	families	family	NOUN
ejpam-6277	231	3	of	of	ADP
ejpam-6277	231	4	solitary	solitary	ADJ
ejpam-6277	231	5	wave	wave	NOUN
ejpam-6277	231	6	solutions	solution	NOUN
ejpam-6277	231	7	for	for	ADP
ejpam-6277	231	8	the	the	DET
ejpam-6277	231	9	fractional	fractional	ADJ
ejpam-6277	231	10	coupled	couple	VERB
ejpam-6277	231	11	higgs	higgs	NOUN
ejpam-6277	231	12	system	system	NOUN
ejpam-6277	231	13	using	use	VERB
ejpam-6277	231	14	modified	modify	VERB
ejpam-6277	231	15	extended	extend	VERB
ejpam-6277	231	16	direct	direct	ADJ
ejpam-6277	231	17	algebraic	algebraic	ADJ
ejpam-6277	231	18	method	method	NOUN
ejpam-6277	231	19	.	.	PUNCT
ejpam-6277	232	1	fractal	fractal	ADJ
ejpam-6277	232	2	and	and	CCONJ
ejpam-6277	232	3	fractional	fractional	ADJ
ejpam-6277	232	4	,	,	PUNCT
ejpam-6277	232	5	7(9):653	7(9):653	NUM
ejpam-6277	232	6	,	,	PUNCT
ejpam-6277	232	7	2023	2023	NUM
ejpam-6277	232	8	.	.	PUNCT
ejpam-6277	233	1	[	[	X
ejpam-6277	233	2	17	17	NUM
ejpam-6277	233	3	]	]	X
ejpam-6277	233	4	muhammad	muhammad	PROPN
ejpam-6277	233	5	bilal	bilal	PROPN
ejpam-6277	233	6	,	,	PUNCT
ejpam-6277	233	7	javed	javed	PROPN
ejpam-6277	233	8	iqbal	iqbal	PROPN
ejpam-6277	233	9	,	,	PUNCT
ejpam-6277	233	10	kamal	kamal	PROPN
ejpam-6277	233	11	shah	shah	PROPN
ejpam-6277	233	12	,	,	PUNCT
ejpam-6277	233	13	bahaaeldin	bahaaeldin	VERB
ejpam-6277	233	14	abdalla	abdalla	PROPN
ejpam-6277	233	15	,	,	PUNCT
ejpam-6277	233	16	thabet	thabet	ADJ
ejpam-6277	233	17	abdeljawad	abdeljawad	NOUN
ejpam-6277	233	18	,	,	PUNCT
ejpam-6277	233	19	and	and	CCONJ
ejpam-6277	233	20	ikram	ikram	PROPN
ejpam-6277	233	21	ullah	ullah	PROPN
ejpam-6277	233	22	.	.	PUNCT
ejpam-6277	234	1	analytical	analytical	ADJ
ejpam-6277	234	2	solutions	solution	NOUN
ejpam-6277	234	3	of	of	ADP
ejpam-6277	234	4	the	the	DET
ejpam-6277	234	5	space	space	NOUN
ejpam-6277	234	6	–	–	PUNCT
ejpam-6277	234	7	time	time	NOUN
ejpam-6277	234	8	fractional	fractional	ADJ
ejpam-6277	234	9	kundu	kundu	NOUN
ejpam-6277	234	10	–	–	PUNCT
ejpam-6277	234	11	eckhaus	eckhaus	NOUN
ejpam-6277	234	12	equation	equation	NOUN
ejpam-6277	234	13	by	by	ADP
ejpam-6277	234	14	using	use	VERB
ejpam-6277	234	15	modified	modify	VERB
ejpam-6277	234	16	extended	extend	VERB
ejpam-6277	234	17	direct	direct	ADJ
ejpam-6277	234	18	algebraic	algebraic	ADJ
ejpam-6277	234	19	method	method	NOUN
ejpam-6277	234	20	.	.	PUNCT
ejpam-6277	235	1	partial	partial	ADJ
ejpam-6277	235	2	differential	differential	ADJ
ejpam-6277	235	3	equations	equation	NOUN
ejpam-6277	235	4	in	in	ADP
ejpam-6277	235	5	applied	applied	ADJ
ejpam-6277	235	6	mathematics	mathematic	NOUN
ejpam-6277	235	7	,	,	PUNCT
ejpam-6277	235	8	11:100832	11:100832	NUM
ejpam-6277	235	9	,	,	PUNCT
ejpam-6277	235	10	2024	2024	NUM
ejpam-6277	235	11	.	.	PUNCT
ejpam-6277	236	1	[	[	X
ejpam-6277	236	2	18	18	NUM
ejpam-6277	236	3	]	]	PUNCT
ejpam-6277	236	4	takasi	takasi	NOUN
ejpam-6277	236	5	kusano	kusano	PROPN
ejpam-6277	236	6	and	and	CCONJ
ejpam-6277	236	7	manabu	manabu	NOUN
ejpam-6277	236	8	naito	naito	PROPN
ejpam-6277	236	9	.	.	PROPN
ejpam-6277	236	10	comparison	comparison	NOUN
ejpam-6277	236	11	theorems	theorem	NOUN
ejpam-6277	236	12	for	for	ADP
ejpam-6277	236	13	functional	functional	ADJ
ejpam-6277	236	14	differential	differential	ADJ
ejpam-6277	236	15	equations	equation	NOUN
ejpam-6277	236	16	with	with	ADP
ejpam-6277	236	17	deviating	deviate	VERB
ejpam-6277	236	18	arguments	argument	NOUN
ejpam-6277	236	19	.	.	PUNCT
ejpam-6277	237	1	journal	journal	NOUN
ejpam-6277	237	2	of	of	ADP
ejpam-6277	237	3	the	the	DET
ejpam-6277	237	4	mathematical	mathematical	ADJ
ejpam-6277	237	5	society	society	NOUN
ejpam-6277	237	6	of	of	ADP
ejpam-6277	237	7	japan	japan	PROPN
ejpam-6277	237	8	,	,	PUNCT
ejpam-6277	237	9	33(3):509–532	33(3):509–532	PROPN
ejpam-6277	237	10	,	,	PUNCT
ejpam-6277	237	11	1981	1981	NUM
ejpam-6277	237	12	.	.	PUNCT
ejpam-6277	238	1	[	[	X
ejpam-6277	238	2	19	19	NUM
ejpam-6277	238	3	]	]	X
ejpam-6277	238	4	jozef	jozef	PROPN
ejpam-6277	238	5	dzurina	dzurina	PROPN
ejpam-6277	238	6	.	.	PUNCT
ejpam-6277	239	1	oscillation	oscillation	NOUN
ejpam-6277	239	2	of	of	ADP
ejpam-6277	239	3	the	the	DET
ejpam-6277	239	4	second	second	ADJ
ejpam-6277	239	5	order	order	NOUN
ejpam-6277	239	6	advanced	advanced	ADJ
ejpam-6277	239	7	differential	differential	ADJ
ejpam-6277	239	8	equations	equation	NOUN
ejpam-6277	239	9	.	.	PUNCT
ejpam-6277	240	1	electronic	electronic	ADJ
ejpam-6277	240	2	journal	journal	NOUN
ejpam-6277	240	3	of	of	ADP
ejpam-6277	240	4	qualitative	qualitative	ADJ
ejpam-6277	240	5	theory	theory	NOUN
ejpam-6277	240	6	of	of	ADP
ejpam-6277	240	7	differential	differential	ADJ
ejpam-6277	240	8	equations	equation	NOUN
ejpam-6277	240	9	,	,	PUNCT
ejpam-6277	240	10	2018(20):1–9	2018(20):1–9	ADJ
ejpam-6277	240	11	,	,	PUNCT
ejpam-6277	240	12	2018	2018	NUM
ejpam-6277	240	13	.	.	PUNCT
ejpam-6277	241	1	[	[	X
ejpam-6277	241	2	20	20	NUM
ejpam-6277	241	3	]	]	SYM
ejpam-6277	241	4	b	b	X
ejpam-6277	241	5	bacuĺıková.	bacuĺıková.	PROPN
ejpam-6277	241	6	properties	property	NOUN
ejpam-6277	241	7	of	of	ADP
ejpam-6277	241	8	third	third	ADJ
ejpam-6277	241	9	-	-	PUNCT
ejpam-6277	241	10	order	order	NOUN
ejpam-6277	241	11	nonlinear	nonlinear	ADJ
ejpam-6277	241	12	functional	functional	ADJ
ejpam-6277	241	13	differential	differential	ADJ
ejpam-6277	241	14	equations	equation	NOUN
ejpam-6277	241	15	with	with	ADP
ejpam-6277	241	16	mixed	mixed	ADJ
ejpam-6277	241	17	arguments	argument	NOUN
ejpam-6277	241	18	.	.	PUNCT
ejpam-6277	242	1	in	in	ADP
ejpam-6277	242	2	abstract	abstract	ADJ
ejpam-6277	242	3	and	and	CCONJ
ejpam-6277	242	4	applied	apply	VERB
ejpam-6277	242	5	analysis	analysis	NOUN
ejpam-6277	242	6	,	,	PUNCT
ejpam-6277	242	7	volume	volume	NOUN
ejpam-6277	242	8	2011	2011	NUM
ejpam-6277	242	9	,	,	PUNCT
ejpam-6277	242	10	page	page	NOUN
ejpam-6277	242	11	857860	857860	NUM
ejpam-6277	242	12	.	.	PUNCT
ejpam-6277	243	1	wiley	wiley	PROPN
ejpam-6277	243	2	online	online	PROPN
ejpam-6277	243	3	library	library	PROPN
ejpam-6277	243	4	,	,	PUNCT
ejpam-6277	243	5	2011	2011	NUM
ejpam-6277	243	6	.	.	PUNCT
ejpam-6277	244	1	[	[	X
ejpam-6277	244	2	21	21	NUM
ejpam-6277	244	3	]	]	X
ejpam-6277	244	4	yuichi	yuichi	PROPN
ejpam-6277	244	5	kitamura	kitamura	PROPN
ejpam-6277	244	6	and	and	CCONJ
ejpam-6277	244	7	takaŝi	takaŝi	PROPN
ejpam-6277	244	8	kusano	kusano	PROPN
ejpam-6277	244	9	.	.	PUNCT
ejpam-6277	245	1	oscillation	oscillation	NOUN
ejpam-6277	245	2	of	of	ADP
ejpam-6277	245	3	first	first	ADJ
ejpam-6277	245	4	-	-	PUNCT
ejpam-6277	245	5	order	order	NOUN
ejpam-6277	245	6	nonlinear	nonlinear	ADJ
ejpam-6277	245	7	differential	differential	ADJ
ejpam-6277	245	8	equations	equation	NOUN
ejpam-6277	245	9	with	with	ADP
ejpam-6277	245	10	deviating	deviate	VERB
ejpam-6277	245	11	arguments	argument	NOUN
ejpam-6277	245	12	.	.	PUNCT
ejpam-6277	246	1	proceedings	proceeding	NOUN
ejpam-6277	246	2	of	of	ADP
ejpam-6277	246	3	the	the	DET
ejpam-6277	246	4	american	american	PROPN
ejpam-6277	246	5	mathematical	mathematical	PROPN
ejpam-6277	246	6	society	society	NOUN
ejpam-6277	246	7	,	,	PUNCT
ejpam-6277	246	8	78(1):64–68	78(1):64–68	NUM
ejpam-6277	246	9	,	,	PUNCT
ejpam-6277	246	10	1980	1980	NUM
ejpam-6277	246	11	.	.	PUNCT