id	sid	tid	token	lemma	pos
ejpam-6304	1	1	european	european	PROPN
ejpam-6304	1	2	journal	journal	PROPN
ejpam-6304	1	3	of	of	ADP
ejpam-6304	1	4	pure	pure	ADJ
ejpam-6304	1	5	and	and	CCONJ
ejpam-6304	1	6	applied	applied	ADJ
ejpam-6304	1	7	mathematics	mathematic	NOUN
ejpam-6304	1	8	2025	2025	NUM
ejpam-6304	1	9	,	,	PUNCT
ejpam-6304	1	10	vol	vol	NOUN
ejpam-6304	1	11	.	.	PROPN
ejpam-6304	1	12	18	18	NUM
ejpam-6304	1	13	,	,	PUNCT
ejpam-6304	1	14	issue	issue	NOUN
ejpam-6304	1	15	3	3	NUM
ejpam-6304	1	16	,	,	PUNCT
ejpam-6304	1	17	article	article	NOUN
ejpam-6304	1	18	number	number	NOUN
ejpam-6304	1	19	6304	6304	NUM
ejpam-6304	1	20	issn	issn	PROPN
ejpam-6304	1	21	1307	1307	NUM
ejpam-6304	1	22	-	-	SYM
ejpam-6304	1	23	5543	5543	NUM
ejpam-6304	1	24	–	–	PUNCT
ejpam-6304	1	25	ejpam.com	ejpam.com	X
ejpam-6304	1	26	published	publish	VERB
ejpam-6304	1	27	by	by	ADP
ejpam-6304	1	28	new	new	PROPN
ejpam-6304	1	29	york	york	PROPN
ejpam-6304	1	30	business	business	PROPN
ejpam-6304	1	31	global	global	PROPN
ejpam-6304	1	32	a	a	DET
ejpam-6304	1	33	combined	combined	ADJ
ejpam-6304	1	34	study	study	NOUN
ejpam-6304	1	35	of	of	ADP
ejpam-6304	1	36	continuities	continuity	NOUN
ejpam-6304	1	37	and	and	CCONJ
ejpam-6304	1	38	boundedness	boundedness	NOUN
ejpam-6304	1	39	in	in	ADP
ejpam-6304	1	40	neutrosophic	neutrosophic	ADJ
ejpam-6304	1	41	pseudo	pseudo	NOUN
ejpam-6304	1	42	-	-	ADJ
ejpam-6304	1	43	normed	norme	VERB
ejpam-6304	1	44	linear	linear	PROPN
ejpam-6304	1	45	spaces	space	NOUN
ejpam-6304	1	46	pandiselvi	pandiselvi	ADJ
ejpam-6304	1	47	.	.	PUNCT
ejpam-6304	2	1	m1	m1	NOUN
ejpam-6304	2	2	,	,	PUNCT
ejpam-6304	2	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	2	4	.	.	PUNCT
ejpam-6304	3	1	m1	m1	PROPN
ejpam-6304	3	2	,	,	PUNCT
ejpam-6304	3	3	mohammad	mohammad	PROPN
ejpam-6304	3	4	akram2,∗	akram2,∗	NUM
ejpam-6304	3	5	1	1	NUM
ejpam-6304	3	6	pg	pg	NOUN
ejpam-6304	3	7	and	and	CCONJ
ejpam-6304	3	8	research	research	PROPN
ejpam-6304	3	9	department	department	PROPN
ejpam-6304	3	10	of	of	ADP
ejpam-6304	3	11	mathematics	mathematics	PROPN
ejpam-6304	3	12	,	,	PUNCT
ejpam-6304	3	13	raja	raja	PROPN
ejpam-6304	3	14	doraisingam	doraisingam	PROPN
ejpam-6304	3	15	govt	govt	PROPN
ejpam-6304	3	16	.	.	PUNCT
ejpam-6304	4	1	arts	arts	PROPN
ejpam-6304	4	2	college	college	PROPN
ejpam-6304	4	3	,	,	PUNCT
ejpam-6304	4	4	sivagangai	sivagangai	PROPN
ejpam-6304	4	5	,	,	PUNCT
ejpam-6304	4	6	affiliated	affiliate	VERB
ejpam-6304	4	7	to	to	PART
ejpam-6304	4	8	alagappa	alagappa	VERB
ejpam-6304	4	9	university	university	PROPN
ejpam-6304	4	10	,	,	PUNCT
ejpam-6304	4	11	karaikudi	karaikudi	PROPN
ejpam-6304	4	12	,	,	PUNCT
ejpam-6304	4	13	tamil	tamil	PROPN
ejpam-6304	4	14	nadu	nadu	PROPN
ejpam-6304	4	15	,	,	PUNCT
ejpam-6304	4	16	india	india	PROPN
ejpam-6304	4	17	2	2	NUM
ejpam-6304	4	18	department	department	NOUN
ejpam-6304	4	19	of	of	ADP
ejpam-6304	4	20	mathematics	mathematic	NOUN
ejpam-6304	4	21	,	,	PUNCT
ejpam-6304	4	22	faculty	faculty	NOUN
ejpam-6304	4	23	of	of	ADP
ejpam-6304	4	24	science	science	NOUN
ejpam-6304	4	25	,	,	PUNCT
ejpam-6304	4	26	islamic	islamic	PROPN
ejpam-6304	4	27	university	university	PROPN
ejpam-6304	4	28	of	of	ADP
ejpam-6304	4	29	madinah	madinah	PROPN
ejpam-6304	4	30	,	,	PUNCT
ejpam-6304	4	31	madinah	madinah	PROPN
ejpam-6304	4	32	42351	42351	NUM
ejpam-6304	4	33	,	,	PUNCT
ejpam-6304	4	34	saudi	saudi	PROPN
ejpam-6304	4	35	arabia	arabia	PROPN
ejpam-6304	4	36	abstract	abstract	NOUN
ejpam-6304	4	37	.	.	PUNCT
ejpam-6304	5	1	in	in	ADP
ejpam-6304	5	2	this	this	DET
ejpam-6304	5	3	work	work	NOUN
ejpam-6304	5	4	,	,	PUNCT
ejpam-6304	5	5	we	we	PRON
ejpam-6304	5	6	investigate	investigate	VERB
ejpam-6304	5	7	various	various	ADJ
ejpam-6304	5	8	notions	notion	NOUN
ejpam-6304	5	9	of	of	ADP
ejpam-6304	5	10	neutrosophic	neutrosophic	ADJ
ejpam-6304	5	11	boundedness	boundedness	NOUN
ejpam-6304	5	12	and	and	CCONJ
ejpam-6304	5	13	continuity	continuity	NOUN
ejpam-6304	5	14	within	within	ADP
ejpam-6304	5	15	the	the	DET
ejpam-6304	5	16	framework	framework	NOUN
ejpam-6304	5	17	of	of	ADP
ejpam-6304	5	18	neutrosophic	neutrosophic	ADJ
ejpam-6304	5	19	pseudo	pseudo	NOUN
ejpam-6304	5	20	normed	norme	VERB
ejpam-6304	5	21	linear	linear	PROPN
ejpam-6304	5	22	spaces	space	NOUN
ejpam-6304	5	23	.	.	PUNCT
ejpam-6304	6	1	specifically	specifically	ADV
ejpam-6304	6	2	,	,	PUNCT
ejpam-6304	6	3	we	we	PRON
ejpam-6304	6	4	introduce	introduce	VERB
ejpam-6304	6	5	and	and	CCONJ
ejpam-6304	6	6	analyze	analyze	VERB
ejpam-6304	6	7	different	different	ADJ
ejpam-6304	6	8	types	type	NOUN
ejpam-6304	6	9	of	of	ADP
ejpam-6304	6	10	neutrosophic	neutrosophic	ADJ
ejpam-6304	6	11	continuity	continuity	NOUN
ejpam-6304	6	12	such	such	ADJ
ejpam-6304	6	13	as	as	ADP
ejpam-6304	6	14	pointwise	pointwise	NOUN
ejpam-6304	6	15	,	,	PUNCT
ejpam-6304	6	16	uniform	uniform	NOUN
ejpam-6304	6	17	,	,	PUNCT
ejpam-6304	6	18	and	and	CCONJ
ejpam-6304	6	19	sequential	sequential	ADJ
ejpam-6304	6	20	neutrosophic	neutrosophic	ADJ
ejpam-6304	6	21	continuity	continuity	NOUN
ejpam-6304	6	22	and	and	CCONJ
ejpam-6304	6	23	examine	examine	VERB
ejpam-6304	6	24	their	their	PRON
ejpam-6304	6	25	interrelationships	interrelationship	NOUN
ejpam-6304	6	26	.	.	PUNCT
ejpam-6304	7	1	we	we	PRON
ejpam-6304	7	2	also	also	ADV
ejpam-6304	7	3	explore	explore	VERB
ejpam-6304	7	4	several	several	ADJ
ejpam-6304	7	5	forms	form	NOUN
ejpam-6304	7	6	of	of	ADP
ejpam-6304	7	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	7	8	boundedness	boundedness	NOUN
ejpam-6304	7	9	and	and	CCONJ
ejpam-6304	7	10	establish	establish	VERB
ejpam-6304	7	11	connections	connection	NOUN
ejpam-6304	7	12	between	between	ADP
ejpam-6304	7	13	boundedness	boundedness	NOUN
ejpam-6304	7	14	and	and	CCONJ
ejpam-6304	7	15	continuity	continuity	NOUN
ejpam-6304	7	16	under	under	ADP
ejpam-6304	7	17	neutrosophic	neutrosophic	ADJ
ejpam-6304	7	18	settings	setting	NOUN
ejpam-6304	7	19	.	.	PUNCT
ejpam-6304	8	1	illustrative	illustrative	ADJ
ejpam-6304	8	2	examples	example	NOUN
ejpam-6304	8	3	are	be	AUX
ejpam-6304	8	4	provided	provide	VERB
ejpam-6304	8	5	to	to	PART
ejpam-6304	8	6	demonstrate	demonstrate	VERB
ejpam-6304	8	7	the	the	DET
ejpam-6304	8	8	applicability	applicability	NOUN
ejpam-6304	8	9	of	of	ADP
ejpam-6304	8	10	the	the	DET
ejpam-6304	8	11	introduced	introduce	VERB
ejpam-6304	8	12	concepts	concept	NOUN
ejpam-6304	8	13	.	.	PUNCT
ejpam-6304	9	1	2020	2020	NUM
ejpam-6304	9	2	mathematics	mathematic	NOUN
ejpam-6304	9	3	subject	subject	NOUN
ejpam-6304	9	4	classifications	classification	NOUN
ejpam-6304	9	5	:	:	PUNCT
ejpam-6304	9	6	03e72	03e72	NUM
ejpam-6304	9	7	,	,	PUNCT
ejpam-6304	9	8	46a19	46a19	NUM
ejpam-6304	9	9	,	,	PUNCT
ejpam-6304	9	10	03b52	03b52	VERB
ejpam-6304	9	11	key	key	ADJ
ejpam-6304	9	12	words	word	NOUN
ejpam-6304	9	13	and	and	CCONJ
ejpam-6304	9	14	phrases	phrase	NOUN
ejpam-6304	9	15	:	:	PUNCT
ejpam-6304	9	16	strongly	strongly	ADV
ejpam-6304	9	17	neutrosophic	neutrosophic	ADJ
ejpam-6304	9	18	continuity	continuity	NOUN
ejpam-6304	9	19	,	,	PUNCT
ejpam-6304	9	20	weakly	weakly	ADJ
ejpam-6304	9	21	neutrosophic	neutrosophic	ADJ
ejpam-6304	9	22	continuity	continuity	NOUN
ejpam-6304	9	23	,	,	PUNCT
ejpam-6304	9	24	sequentially	sequentially	ADV
ejpam-6304	9	25	neutrosophic	neutrosophic	ADJ
ejpam-6304	9	26	continuity	continuity	NOUN
ejpam-6304	9	27	,	,	PUNCT
ejpam-6304	9	28	uniformly	uniformly	ADV
ejpam-6304	9	29	neutrosophic	neutrosophic	PROPN
ejpam-6304	9	30	bounded	bound	VERB
ejpam-6304	9	31	.	.	PUNCT
ejpam-6304	10	1	1	1	X
ejpam-6304	10	2	.	.	X
ejpam-6304	10	3	introduction	introduction	NOUN
ejpam-6304	10	4	in	in	ADP
ejpam-6304	10	5	1992	1992	NUM
ejpam-6304	10	6	,	,	PUNCT
ejpam-6304	10	7	felbin	felbin	NOUN
ejpam-6304	10	8	[	[	X
ejpam-6304	10	9	1	1	X
ejpam-6304	10	10	]	]	PUNCT
ejpam-6304	10	11	introduced	introduce	VERB
ejpam-6304	10	12	the	the	DET
ejpam-6304	10	13	concept	concept	NOUN
ejpam-6304	10	14	of	of	ADP
ejpam-6304	10	15	fuzzy	fuzzy	ADJ
ejpam-6304	10	16	norms	norm	NOUN
ejpam-6304	10	17	on	on	ADP
ejpam-6304	10	18	linear	linear	ADJ
ejpam-6304	10	19	spaces	space	NOUN
ejpam-6304	10	20	.	.	PUNCT
ejpam-6304	11	1	subsequently	subsequently	ADV
ejpam-6304	11	2	,	,	PUNCT
ejpam-6304	11	3	xiao	xiao	PROPN
ejpam-6304	11	4	and	and	CCONJ
ejpam-6304	11	5	zhu	zhu	PROPN
ejpam-6304	12	1	[	[	X
ejpam-6304	12	2	2	2	NUM
ejpam-6304	12	3	]	]	PUNCT
ejpam-6304	12	4	extended	extend	VERB
ejpam-6304	12	5	this	this	DET
ejpam-6304	12	6	framework	framework	NOUN
ejpam-6304	12	7	by	by	ADP
ejpam-6304	12	8	investigating	investigate	VERB
ejpam-6304	12	9	the	the	DET
ejpam-6304	12	10	topological	topological	ADJ
ejpam-6304	12	11	properties	property	NOUN
ejpam-6304	12	12	of	of	ADP
ejpam-6304	12	13	fuzzy	fuzzy	ADJ
ejpam-6304	12	14	normed	norme	VERB
ejpam-6304	12	15	linear	linear	PROPN
ejpam-6304	12	16	spaces	space	NOUN
ejpam-6304	12	17	.	.	PUNCT
ejpam-6304	13	1	bag	bag	NOUN
ejpam-6304	13	2	and	and	CCONJ
ejpam-6304	13	3	samanta	samanta	PROPN
ejpam-6304	13	4	proposed	propose	VERB
ejpam-6304	13	5	another	another	DET
ejpam-6304	13	6	form	form	NOUN
ejpam-6304	13	7	of	of	ADP
ejpam-6304	13	8	fuzzy	fuzzy	ADJ
ejpam-6304	13	9	norm	norm	NOUN
ejpam-6304	13	10	[	[	X
ejpam-6304	13	11	3	3	NUM
ejpam-6304	13	12	]	]	PUNCT
ejpam-6304	13	13	and	and	CCONJ
ejpam-6304	13	14	further	far	ADV
ejpam-6304	13	15	advanced	advance	VERB
ejpam-6304	13	16	the	the	DET
ejpam-6304	13	17	theory	theory	NOUN
ejpam-6304	13	18	by	by	ADP
ejpam-6304	13	19	developing	develop	VERB
ejpam-6304	13	20	notions	notion	NOUN
ejpam-6304	13	21	such	such	ADJ
ejpam-6304	13	22	as	as	ADP
ejpam-6304	13	23	weak	weak	ADJ
ejpam-6304	13	24	and	and	CCONJ
ejpam-6304	13	25	strong	strong	ADJ
ejpam-6304	13	26	fuzzy	fuzzy	ADJ
ejpam-6304	13	27	boundedness	boundedness	NOUN
ejpam-6304	13	28	,	,	PUNCT
ejpam-6304	13	29	weak	weak	ADJ
ejpam-6304	13	30	and	and	CCONJ
ejpam-6304	13	31	sequential	sequential	ADJ
ejpam-6304	13	32	fuzzy	fuzzy	ADJ
ejpam-6304	13	33	continuity	continuity	NOUN
ejpam-6304	13	34	,	,	PUNCT
ejpam-6304	13	35	fuzzy	fuzzy	ADJ
ejpam-6304	13	36	continuity	continuity	NOUN
ejpam-6304	13	37	,	,	PUNCT
ejpam-6304	13	38	and	and	CCONJ
ejpam-6304	13	39	the	the	DET
ejpam-6304	13	40	fuzzy	fuzzy	ADJ
ejpam-6304	13	41	norm	norm	NOUN
ejpam-6304	13	42	of	of	ADP
ejpam-6304	13	43	linear	linear	PROPN
ejpam-6304	13	44	operators	operator	NOUN
ejpam-6304	13	45	with	with	ADP
ejpam-6304	13	46	respect	respect	NOUN
ejpam-6304	13	47	to	to	ADP
ejpam-6304	13	48	an	an	DET
ejpam-6304	13	49	associated	associated	ADJ
ejpam-6304	13	50	fuzzy	fuzzy	ADJ
ejpam-6304	13	51	norm	norm	NOUN
ejpam-6304	13	52	[	[	X
ejpam-6304	13	53	4	4	NUM
ejpam-6304	13	54	]	]	PUNCT
ejpam-6304	13	55	.	.	PUNCT
ejpam-6304	14	1	the	the	DET
ejpam-6304	14	2	concept	concept	NOUN
ejpam-6304	14	3	of	of	ADP
ejpam-6304	14	4	fuzzy	fuzzy	ADJ
ejpam-6304	14	5	pseudo	pseudo	NOUN
ejpam-6304	14	6	norms	norm	NOUN
ejpam-6304	14	7	was	be	AUX
ejpam-6304	14	8	introduced	introduce	VERB
ejpam-6304	14	9	by	by	ADP
ejpam-6304	14	10	s.	s.	PROPN
ejpam-6304	14	11	nadaban	nadaban	PROPN
ejpam-6304	15	1	[	[	X
ejpam-6304	15	2	5	5	NUM
ejpam-6304	15	3	]	]	PUNCT
ejpam-6304	15	4	.	.	PUNCT
ejpam-6304	16	1	dinda	dinda	PROPN
ejpam-6304	16	2	et	et	PROPN
ejpam-6304	16	3	al	al	PROPN
ejpam-6304	16	4	.	.	PUNCT
ejpam-6304	17	1	[	[	X
ejpam-6304	17	2	6	6	NUM
ejpam-6304	17	3	]	]	PUNCT
ejpam-6304	17	4	explored	explore	VERB
ejpam-6304	17	5	intuitionistic	intuitionistic	ADJ
ejpam-6304	17	6	fuzzy	fuzzy	ADJ
ejpam-6304	17	7	pseudo	pseudo	NOUN
ejpam-6304	17	8	normed	norme	VERB
ejpam-6304	17	9	linear	linear	PROPN
ejpam-6304	17	10	spaces	space	NOUN
ejpam-6304	17	11	and	and	CCONJ
ejpam-6304	17	12	demonstrated	demonstrate	VERB
ejpam-6304	17	13	that	that	SCONJ
ejpam-6304	17	14	these	these	PRON
ejpam-6304	17	15	possess	possess	VERB
ejpam-6304	17	16	a	a	DET
ejpam-6304	17	17	more	more	ADV
ejpam-6304	17	18	general	general	ADJ
ejpam-6304	17	19	structure	structure	NOUN
ejpam-6304	17	20	than	than	ADP
ejpam-6304	17	21	intuitionistic	intuitionistic	ADJ
ejpam-6304	17	22	fuzzy	fuzzy	ADJ
ejpam-6304	17	23	normed	normed	ADJ
ejpam-6304	17	24	spaces	space	NOUN
ejpam-6304	17	25	.	.	PUNCT
ejpam-6304	18	1	the	the	DET
ejpam-6304	18	2	foundation	foundation	NOUN
ejpam-6304	18	3	for	for	ADP
ejpam-6304	18	4	intuitionistic	intuitionistic	ADJ
ejpam-6304	18	5	fuzzy	fuzzy	ADJ
ejpam-6304	18	6	sets	set	NOUN
ejpam-6304	18	7	,	,	PUNCT
ejpam-6304	18	8	as	as	ADP
ejpam-6304	18	9	a	a	DET
ejpam-6304	18	10	generalization	generalization	NOUN
ejpam-6304	18	11	of	of	ADP
ejpam-6304	18	12	fuzzy	fuzzy	ADJ
ejpam-6304	18	13	sets	set	NOUN
ejpam-6304	18	14	,	,	PUNCT
ejpam-6304	18	15	was	be	AUX
ejpam-6304	18	16	laid	lay	VERB
ejpam-6304	18	17	by	by	ADP
ejpam-6304	18	18	atanassov	atanassov	NOUN
ejpam-6304	18	19	[	[	X
ejpam-6304	18	20	7	7	NUM
ejpam-6304	18	21	]	]	PUNCT
ejpam-6304	18	22	,	,	PUNCT
ejpam-6304	18	23	while	while	SCONJ
ejpam-6304	18	24	j.	j.	PROPN
ejpam-6304	18	25	h.	h.	PROPN
ejpam-6304	18	26	park	park	PROPN
ejpam-6304	19	1	[	[	X
ejpam-6304	19	2	8	8	NUM
ejpam-6304	19	3	]	]	PUNCT
ejpam-6304	19	4	introduced	introduce	VERB
ejpam-6304	19	5	the	the	DET
ejpam-6304	19	6	notion	notion	NOUN
ejpam-6304	19	7	of	of	ADP
ejpam-6304	19	8	intuitionistic	intuitionistic	ADJ
ejpam-6304	19	9	fuzzy	fuzzy	ADJ
ejpam-6304	19	10	metric	metric	ADJ
ejpam-6304	19	11	spaces	space	NOUN
ejpam-6304	19	12	and	and	CCONJ
ejpam-6304	19	13	examined	examine	VERB
ejpam-6304	19	14	several	several	ADJ
ejpam-6304	19	15	∗corresponding	∗corresponde	VERB
ejpam-6304	19	16	author	author	NOUN
ejpam-6304	19	17	.	.	PUNCT
ejpam-6304	20	1	doi	doi	NOUN
ejpam-6304	20	2	:	:	PUNCT
ejpam-6304	20	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6304	https://doi.org/10.29020/nybg.ejpam.v18i3.6304	PROPN
ejpam-6304	20	4	email	email	NOUN
ejpam-6304	20	5	addresses	address	NOUN
ejpam-6304	20	6	:	:	PUNCT
ejpam-6304	20	7	mpandiselvi2612@gmail.com	mpandiselvi2612@gmail.com	X
ejpam-6304	20	8	(	(	PUNCT
ejpam-6304	20	9	pandiselvi	pandiselvi	ADJ
ejpam-6304	20	10	.	.	PUNCT
ejpam-6304	21	1	m	m	X
ejpam-6304	21	2	)	)	PUNCT
ejpam-6304	21	3	,	,	PUNCT
ejpam-6304	22	1	jeya.math@gmail.com	jeya.math@gmail.com	X
ejpam-6304	22	2	(	(	PUNCT
ejpam-6304	22	3	jeyaraman	jeyaraman	PROPN
ejpam-6304	22	4	.	.	PUNCT
ejpam-6304	23	1	m	m	PROPN
ejpam-6304	23	2	)	)	PUNCT
ejpam-6304	24	1	,	,	PUNCT
ejpam-6304	24	2	akramkhan	akramkhan	NOUN
ejpam-6304	24	3	20@rediffmail.com	20@rediffmail.com	NUM
ejpam-6304	24	4	,	,	PUNCT
ejpam-6304	24	5	akram@iu.edu.sa	akram@iu.edu.sa	PROPN
ejpam-6304	24	6	(	(	PUNCT
ejpam-6304	24	7	m.	m.	NOUN
ejpam-6304	24	8	akram	akram	PROPN
ejpam-6304	24	9	)	)	PUNCT
ejpam-6304	24	10	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6304	25	1	1	1	NUM
ejpam-6304	25	2	copyright	copyright	NOUN
ejpam-6304	25	3	:	:	PUNCT
ejpam-6304	25	4	©	©	PROPN
ejpam-6304	25	5	2025	2025	NUM
ejpam-6304	25	6	the	the	DET
ejpam-6304	25	7	author(s	author(s	NOUN
ejpam-6304	25	8	)	)	PUNCT
ejpam-6304	25	9	.	.	PUNCT
ejpam-6304	26	1	(	(	PUNCT
ejpam-6304	26	2	cc	cc	NOUN
ejpam-6304	26	3	by	by	ADP
ejpam-6304	26	4	-	-	PUNCT
ejpam-6304	26	5	nc	nc	PROPN
ejpam-6304	26	6	4.0	4.0	NUM
ejpam-6304	26	7	)	)	PUNCT
ejpam-6304	26	8	pandiselvi	pandiselvi	ADJ
ejpam-6304	26	9	.	.	PUNCT
ejpam-6304	27	1	m	m	PROPN
ejpam-6304	27	2	,	,	PUNCT
ejpam-6304	27	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	27	4	.	.	PUNCT
ejpam-6304	28	1	m	m	PROPN
ejpam-6304	28	2	andmohammad	andmohammad	PROPN
ejpam-6304	28	3	akram	akram	PROPN
ejpam-6304	28	4	/	/	PUNCT
ejpam-6304	28	5	eur	eur	PROPN
ejpam-6304	28	6	.	.	PUNCT
ejpam-6304	29	1	j.	j.	PROPN
ejpam-6304	29	2	pure	pure	PROPN
ejpam-6304	29	3	appl	appl	PROPN
ejpam-6304	29	4	.	.	PROPN
ejpam-6304	29	5	math	math	PROPN
ejpam-6304	29	6	,	,	PUNCT
ejpam-6304	29	7	18	18	NUM
ejpam-6304	29	8	(	(	PUNCT
ejpam-6304	29	9	3	3	NUM
ejpam-6304	29	10	)	)	PUNCT
ejpam-6304	29	11	(	(	PUNCT
ejpam-6304	29	12	2025	2025	NUM
ejpam-6304	29	13	)	)	PUNCT
ejpam-6304	29	14	,	,	PUNCT
ejpam-6304	29	15	6304	6304	NUM
ejpam-6304	29	16	2	2	NUM
ejpam-6304	29	17	of	of	ADP
ejpam-6304	29	18	15	15	NUM
ejpam-6304	29	19	of	of	ADP
ejpam-6304	29	20	their	their	PRON
ejpam-6304	29	21	fundamental	fundamental	ADJ
ejpam-6304	29	22	properties	property	NOUN
ejpam-6304	29	23	.	.	PUNCT
ejpam-6304	30	1	in	in	ADP
ejpam-6304	30	2	1998	1998	NUM
ejpam-6304	30	3	,	,	PUNCT
ejpam-6304	30	4	smarandache	smarandache	NOUN
ejpam-6304	30	5	[	[	X
ejpam-6304	30	6	9	9	NUM
ejpam-6304	30	7	]	]	PUNCT
ejpam-6304	30	8	proposed	propose	VERB
ejpam-6304	30	9	neutrosophic	neutrosophic	ADJ
ejpam-6304	30	10	logic	logic	NOUN
ejpam-6304	30	11	and	and	CCONJ
ejpam-6304	30	12	neutrosophic	neutrosophic	ADJ
ejpam-6304	30	13	sets	set	NOUN
ejpam-6304	30	14	.	.	PUNCT
ejpam-6304	31	1	building	build	VERB
ejpam-6304	31	2	on	on	ADP
ejpam-6304	31	3	this	this	PRON
ejpam-6304	31	4	,	,	PUNCT
ejpam-6304	31	5	kirisci	kirisci	NOUN
ejpam-6304	31	6	and	and	CCONJ
ejpam-6304	31	7	simsek	simsek	VERB
ejpam-6304	31	8	[	[	X
ejpam-6304	31	9	10	10	NUM
ejpam-6304	31	10	]	]	PUNCT
ejpam-6304	31	11	introduced	introduce	VERB
ejpam-6304	31	12	the	the	DET
ejpam-6304	31	13	concept	concept	NOUN
ejpam-6304	31	14	of	of	ADP
ejpam-6304	31	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	31	16	metric	metric	ADJ
ejpam-6304	31	17	spaces	space	NOUN
ejpam-6304	31	18	,	,	PUNCT
ejpam-6304	31	19	which	which	PRON
ejpam-6304	31	20	account	account	VERB
ejpam-6304	31	21	for	for	ADP
ejpam-6304	31	22	degrees	degree	NOUN
ejpam-6304	31	23	of	of	ADP
ejpam-6304	31	24	membership	membership	NOUN
ejpam-6304	31	25	,	,	PUNCT
ejpam-6304	31	26	non	non	ADJ
ejpam-6304	31	27	-	-	NOUN
ejpam-6304	31	28	membership	membership	NOUN
ejpam-6304	31	29	,	,	PUNCT
ejpam-6304	31	30	and	and	CCONJ
ejpam-6304	31	31	indeterminacy	indeterminacy	NOUN
ejpam-6304	31	32	(	(	PUNCT
ejpam-6304	31	33	neutrality	neutrality	NOUN
ejpam-6304	31	34	)	)	PUNCT
ejpam-6304	31	35	.	.	PUNCT
ejpam-6304	32	1	in	in	ADP
ejpam-6304	32	2	this	this	DET
ejpam-6304	32	3	context	context	NOUN
ejpam-6304	32	4	,	,	PUNCT
ejpam-6304	32	5	jeyaraman	jeyaraman	PROPN
ejpam-6304	32	6	et	et	PROPN
ejpam-6304	32	7	al	al	PROPN
ejpam-6304	32	8	.	.	PUNCT
ejpam-6304	33	1	[	[	X
ejpam-6304	33	2	11	11	NUM
ejpam-6304	33	3	]	]	PUNCT
ejpam-6304	33	4	investigated	investigate	VERB
ejpam-6304	33	5	multivalued	multivalued	ADJ
ejpam-6304	33	6	mappings	mapping	NOUN
ejpam-6304	33	7	in	in	ADP
ejpam-6304	33	8	hausdorff	hausdorff	PROPN
ejpam-6304	33	9	neutrosophic	neutrosophic	ADJ
ejpam-6304	33	10	metric	metric	ADJ
ejpam-6304	33	11	spaces	space	NOUN
ejpam-6304	33	12	and	and	CCONJ
ejpam-6304	33	13	established	establish	VERB
ejpam-6304	33	14	several	several	ADJ
ejpam-6304	33	15	fixed	fix	VERB
ejpam-6304	33	16	point	point	NOUN
ejpam-6304	33	17	results	result	NOUN
ejpam-6304	33	18	.	.	PUNCT
ejpam-6304	34	1	their	their	PRON
ejpam-6304	34	2	work	work	NOUN
ejpam-6304	34	3	emphasizes	emphasize	VERB
ejpam-6304	34	4	the	the	DET
ejpam-6304	34	5	structural	structural	ADJ
ejpam-6304	34	6	richness	richness	NOUN
ejpam-6304	34	7	of	of	ADP
ejpam-6304	34	8	neutrosophic	neutrosophic	ADJ
ejpam-6304	34	9	metric	metric	ADJ
ejpam-6304	34	10	spaces	space	NOUN
ejpam-6304	34	11	and	and	CCONJ
ejpam-6304	34	12	provides	provide	VERB
ejpam-6304	34	13	a	a	DET
ejpam-6304	34	14	foundation	foundation	NOUN
ejpam-6304	34	15	for	for	ADP
ejpam-6304	34	16	various	various	ADJ
ejpam-6304	34	17	applications	application	NOUN
ejpam-6304	34	18	in	in	ADP
ejpam-6304	34	19	fixed	fix	VERB
ejpam-6304	34	20	point	point	NOUN
ejpam-6304	34	21	theory	theory	NOUN
ejpam-6304	34	22	.	.	PUNCT
ejpam-6304	35	1	the	the	DET
ejpam-6304	35	2	present	present	ADJ
ejpam-6304	35	3	work	work	NOUN
ejpam-6304	35	4	focuses	focus	VERB
ejpam-6304	35	5	on	on	ADP
ejpam-6304	35	6	the	the	DET
ejpam-6304	35	7	study	study	NOUN
ejpam-6304	35	8	of	of	ADP
ejpam-6304	35	9	neutrosophic	neutrosophic	ADJ
ejpam-6304	35	10	boundedness	boundedness	NOUN
ejpam-6304	35	11	and	and	CCONJ
ejpam-6304	35	12	various	various	ADJ
ejpam-6304	35	13	forms	form	NOUN
ejpam-6304	35	14	of	of	ADP
ejpam-6304	35	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	35	16	continuity	continuity	NOUN
ejpam-6304	35	17	for	for	ADP
ejpam-6304	35	18	linear	linear	PROPN
ejpam-6304	35	19	operators	operator	NOUN
ejpam-6304	35	20	within	within	ADP
ejpam-6304	35	21	neutrosophic	neutrosophic	ADJ
ejpam-6304	35	22	pseudo	pseudo	NOUN
ejpam-6304	35	23	normed	norme	VERB
ejpam-6304	35	24	spaces	space	NOUN
ejpam-6304	35	25	—	—	PUNCT
ejpam-6304	35	26	a	a	DET
ejpam-6304	35	27	generalization	generalization	NOUN
ejpam-6304	35	28	of	of	ADP
ejpam-6304	35	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	35	30	normed	norme	VERB
ejpam-6304	35	31	spaces	space	NOUN
ejpam-6304	35	32	.	.	PUNCT
ejpam-6304	36	1	section	section	NOUN
ejpam-6304	36	2	3	3	NUM
ejpam-6304	36	3	highlights	highlight	NOUN
ejpam-6304	36	4	the	the	DET
ejpam-6304	36	5	concept	concept	NOUN
ejpam-6304	36	6	of	of	ADP
ejpam-6304	36	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	36	8	continuities	continuity	NOUN
ejpam-6304	36	9	and	and	CCONJ
ejpam-6304	36	10	the	the	DET
ejpam-6304	36	11	intra	intra	NOUN
ejpam-6304	36	12	-	-	NOUN
ejpam-6304	36	13	relationships	relationship	NOUN
ejpam-6304	36	14	among	among	ADP
ejpam-6304	36	15	their	their	PRON
ejpam-6304	36	16	various	various	ADJ
ejpam-6304	36	17	types	type	NOUN
ejpam-6304	36	18	.	.	PUNCT
ejpam-6304	37	1	section	section	NOUN
ejpam-6304	37	2	4	4	NUM
ejpam-6304	37	3	delves	delf	NOUN
ejpam-6304	37	4	into	into	ADP
ejpam-6304	37	5	different	different	ADJ
ejpam-6304	37	6	notions	notion	NOUN
ejpam-6304	37	7	of	of	ADP
ejpam-6304	37	8	neutrosophic	neutrosophic	ADJ
ejpam-6304	37	9	boundedness	boundedness	NOUN
ejpam-6304	37	10	.	.	PUNCT
ejpam-6304	38	1	finally	finally	ADV
ejpam-6304	38	2	,	,	PUNCT
ejpam-6304	38	3	the	the	DET
ejpam-6304	38	4	interconnections	interconnection	NOUN
ejpam-6304	38	5	between	between	ADP
ejpam-6304	38	6	different	different	ADJ
ejpam-6304	38	7	forms	form	NOUN
ejpam-6304	38	8	of	of	ADP
ejpam-6304	38	9	continuity	continuity	NOUN
ejpam-6304	38	10	and	and	CCONJ
ejpam-6304	38	11	boundedness	boundedness	NOUN
ejpam-6304	38	12	are	be	AUX
ejpam-6304	38	13	discussed	discuss	VERB
ejpam-6304	38	14	,	,	PUNCT
ejpam-6304	38	15	following	follow	VERB
ejpam-6304	38	16	an	an	DET
ejpam-6304	38	17	initial	initial	ADJ
ejpam-6304	38	18	investigation	investigation	NOUN
ejpam-6304	38	19	of	of	ADP
ejpam-6304	38	20	intra	intra	NOUN
ejpam-6304	38	21	-	-	NOUN
ejpam-6304	38	22	relations	relation	NOUN
ejpam-6304	38	23	among	among	ADP
ejpam-6304	38	24	the	the	DET
ejpam-6304	38	25	various	various	ADJ
ejpam-6304	38	26	types	type	NOUN
ejpam-6304	38	27	of	of	ADP
ejpam-6304	38	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	38	29	boundedness	boundedness	NOUN
ejpam-6304	38	30	.	.	PUNCT
ejpam-6304	39	1	2	2	X
ejpam-6304	39	2	.	.	X
ejpam-6304	39	3	preliminaries	preliminary	NOUN
ejpam-6304	39	4	this	this	DET
ejpam-6304	39	5	section	section	NOUN
ejpam-6304	39	6	recalls	recall	VERB
ejpam-6304	39	7	essential	essential	ADJ
ejpam-6304	39	8	definitions	definition	NOUN
ejpam-6304	39	9	and	and	CCONJ
ejpam-6304	39	10	concepts	concept	NOUN
ejpam-6304	39	11	.	.	PUNCT
ejpam-6304	40	1	these	these	DET
ejpam-6304	40	2	preliminaries	preliminary	NOUN
ejpam-6304	40	3	form	form	VERB
ejpam-6304	40	4	the	the	DET
ejpam-6304	40	5	foundation	foundation	NOUN
ejpam-6304	40	6	for	for	ADP
ejpam-6304	40	7	the	the	DET
ejpam-6304	40	8	results	result	NOUN
ejpam-6304	40	9	developed	develop	VERB
ejpam-6304	40	10	in	in	ADP
ejpam-6304	40	11	subsequent	subsequent	ADJ
ejpam-6304	40	12	sections	section	NOUN
ejpam-6304	40	13	definition	definition	NOUN
ejpam-6304	40	14	1	1	NUM
ejpam-6304	40	15	.	.	PUNCT
ejpam-6304	41	1	[	[	X
ejpam-6304	41	2	12	12	NUM
ejpam-6304	41	3	]	]	PUNCT
ejpam-6304	41	4	let	let	VERB
ejpam-6304	41	5	f	f	PRON
ejpam-6304	41	6	be	be	AUX
ejpam-6304	41	7	a	a	DET
ejpam-6304	41	8	linear	linear	ADJ
ejpam-6304	41	9	space	space	NOUN
ejpam-6304	41	10	over	over	ADP
ejpam-6304	41	11	a	a	DET
ejpam-6304	41	12	field	field	NOUN
ejpam-6304	41	13	r.	r.	NOUN
ejpam-6304	41	14	a	a	DET
ejpam-6304	41	15	mapping	mapping	NOUN
ejpam-6304	41	16	∥·∥	∥·∥	PROPN
ejpam-6304	41	17	:	:	PUNCT
ejpam-6304	41	18	f	f	PROPN
ejpam-6304	41	19	→	→	PUNCT
ejpam-6304	41	20	r	r	NOUN
ejpam-6304	41	21	is	be	AUX
ejpam-6304	41	22	named	name	VERB
ejpam-6304	41	23	to	to	PART
ejpam-6304	41	24	be	be	AUX
ejpam-6304	41	25	a	a	DET
ejpam-6304	41	26	pseudo	pseudo	NOUN
ejpam-6304	41	27	norm	norm	NOUN
ejpam-6304	41	28	on	on	ADP
ejpam-6304	41	29	f	f	PROPN
ejpam-6304	41	30	if	if	SCONJ
ejpam-6304	41	31	it	it	PRON
ejpam-6304	41	32	holds	hold	VERB
ejpam-6304	41	33	the	the	DET
ejpam-6304	41	34	following	follow	VERB
ejpam-6304	41	35	assertions	assertion	NOUN
ejpam-6304	41	36	:	:	PUNCT
ejpam-6304	41	37	1	1	X
ejpam-6304	41	38	.	.	X
ejpam-6304	41	39	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	41	40	≥	≥	NUM
ejpam-6304	41	41	0	0	NUM
ejpam-6304	41	42	,	,	PUNCT
ejpam-6304	41	43	for	for	ADP
ejpam-6304	41	44	all	all	DET
ejpam-6304	41	45	ϖ	ϖ	NOUN
ejpam-6304	41	46	∈	∈	PROPN
ejpam-6304	41	47	f	f	PROPN
ejpam-6304	41	48	,	,	PUNCT
ejpam-6304	41	49	2	2	NUM
ejpam-6304	41	50	.	.	PUNCT
ejpam-6304	41	51	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	41	52	=	=	SYM
ejpam-6304	41	53	0	0	NUM
ejpam-6304	41	54	⇔	⇔	X
ejpam-6304	41	55	ϖ	ϖ	PROPN
ejpam-6304	41	56	=	=	SYM
ejpam-6304	41	57	0	0	NUM
ejpam-6304	41	58	,	,	PUNCT
ejpam-6304	41	59	3	3	NUM
ejpam-6304	41	60	.	.	NOUN
ejpam-6304	41	61	∥kϖ∥	∥kϖ∥	VERB
ejpam-6304	41	62	≤	≤	NUM
ejpam-6304	41	63	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	41	64	,	,	PUNCT
ejpam-6304	41	65	for	for	ADP
ejpam-6304	41	66	all	all	PRON
ejpam-6304	41	67	ϖ	ϖ	NOUN
ejpam-6304	41	68	∈	∈	ADJ
ejpam-6304	41	69	f	f	X
ejpam-6304	41	70	,	,	PUNCT
ejpam-6304	41	71	for	for	ADP
ejpam-6304	41	72	all	all	DET
ejpam-6304	41	73	k	k	PROPN
ejpam-6304	41	74	∈	∈	PROPN
ejpam-6304	41	75	k	k	PROPN
ejpam-6304	41	76	with	with	ADP
ejpam-6304	41	77	|k|	|k|	PRON
ejpam-6304	41	78	≤	≤	ADV
ejpam-6304	41	79	1	1	NUM
ejpam-6304	41	80	,	,	PUNCT
ejpam-6304	41	81	4	4	NUM
ejpam-6304	41	82	.	.	PUNCT
ejpam-6304	42	1	the	the	DET
ejpam-6304	42	2	strong	strong	ADJ
ejpam-6304	42	3	triangle	triangle	NOUN
ejpam-6304	42	4	inequality	inequality	NOUN
ejpam-6304	43	1	∥ϖ	∥ϖ	PROPN
ejpam-6304	43	2	+	+	PROPN
ejpam-6304	43	3	w∥	w∥	NOUN
ejpam-6304	43	4	≤	≤	NUM
ejpam-6304	43	5	∥ϖ∥+	∥ϖ∥+	NOUN
ejpam-6304	43	6	∥w∥	∥w∥	PROPN
ejpam-6304	43	7	,	,	PUNCT
ejpam-6304	43	8	for	for	ADP
ejpam-6304	43	9	all	all	DET
ejpam-6304	43	10	ϖ,w	ϖ,w	NOUN
ejpam-6304	43	11	∈	∈	PROPN
ejpam-6304	43	12	f.	f.	NOUN
ejpam-6304	43	13	definition	definition	NOUN
ejpam-6304	43	14	2	2	X
ejpam-6304	43	15	.	.	PUNCT
ejpam-6304	44	1	let	let	VERB
ejpam-6304	44	2	f	f	PROPN
ejpam-6304	44	3	is	be	AUX
ejpam-6304	44	4	a	a	DET
ejpam-6304	44	5	vector	vector	NOUN
ejpam-6304	44	6	space	space	NOUN
ejpam-6304	44	7	over	over	ADP
ejpam-6304	44	8	a	a	DET
ejpam-6304	44	9	field	field	NOUN
ejpam-6304	44	10	r	r	NOUN
ejpam-6304	44	11	,	,	PUNCT
ejpam-6304	44	12	and	and	CCONJ
ejpam-6304	44	13	η	η	PROPN
ejpam-6304	44	14	,	,	PUNCT
ejpam-6304	44	15	ρ	ρ	PROPN
ejpam-6304	44	16	,	,	PUNCT
ejpam-6304	44	17	ς	ς	PROPN
ejpam-6304	44	18	are	be	AUX
ejpam-6304	44	19	neutrosophic	neutrosophic	ADJ
ejpam-6304	44	20	sets	set	NOUN
ejpam-6304	44	21	on	on	ADP
ejpam-6304	44	22	f×	f×	NOUN
ejpam-6304	44	23	r×	r×	NOUN
ejpam-6304	44	24	r	r	NOUN
ejpam-6304	44	25	,	,	PUNCT
ejpam-6304	44	26	if	if	SCONJ
ejpam-6304	44	27	it	it	PRON
ejpam-6304	44	28	meets	meet	VERB
ejpam-6304	44	29	the	the	DET
ejpam-6304	44	30	following	follow	VERB
ejpam-6304	44	31	conditions	condition	NOUN
ejpam-6304	44	32	for	for	ADP
ejpam-6304	44	33	every	every	DET
ejpam-6304	44	34	ϖ,w	ϖ,w	NOUN
ejpam-6304	44	35	∈	∈	PROPN
ejpam-6304	44	36	f	f	NOUN
ejpam-6304	44	37	and	and	CCONJ
ejpam-6304	44	38	o	o	PROPN
ejpam-6304	44	39	,	,	PUNCT
ejpam-6304	44	40	φ	φ	PROPN
ejpam-6304	44	41	∈	∈	PROPN
ejpam-6304	44	42	r	r	NOUN
ejpam-6304	44	43	(	(	PUNCT
ejpam-6304	44	44	n1	n1	NOUN
ejpam-6304	44	45	)	)	PUNCT
ejpam-6304	44	46	0	0	NUM
ejpam-6304	44	47	≤	≤	NOUN
ejpam-6304	44	48	η(ϖ,φ	η(ϖ,φ	ADV
ejpam-6304	44	49	)	)	PUNCT
ejpam-6304	44	50	≤	≤	NUM
ejpam-6304	44	51	1	1	NUM
ejpam-6304	44	52	;	;	PUNCT
ejpam-6304	44	53	0	0	NUM
ejpam-6304	44	54	≤	≤	NUM
ejpam-6304	44	55	ρ(ϖ,φ	ρ(ϖ,φ	NOUN
ejpam-6304	44	56	)	)	PUNCT
ejpam-6304	44	57	≤	≤	NUM
ejpam-6304	44	58	1	1	NUM
ejpam-6304	44	59	;	;	PUNCT
ejpam-6304	44	60	0	0	NUM
ejpam-6304	44	61	≤	≤	NUM
ejpam-6304	44	62	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	44	63	)	)	PUNCT
ejpam-6304	44	64	≤	≤	NUM
ejpam-6304	44	65	1	1	NUM
ejpam-6304	44	66	;	;	PUNCT
ejpam-6304	44	67	(	(	PUNCT
ejpam-6304	44	68	n2	n2	ADJ
ejpam-6304	44	69	)	)	PUNCT
ejpam-6304	44	70	η(ϖ,φ	η(ϖ,φ	ADV
ejpam-6304	44	71	)	)	PUNCT
ejpam-6304	45	1	+	+	PUNCT
ejpam-6304	45	2	ν(ϖ,φ	ν(ϖ,φ	X
ejpam-6304	45	3	)	)	PUNCT
ejpam-6304	46	1	+	+	NUM
ejpam-6304	46	2	ρ(ϖ,φ	ρ(ϖ,φ	NOUN
ejpam-6304	46	3	)	)	PUNCT
ejpam-6304	46	4	≤	≤	NOUN
ejpam-6304	46	5	3	3	NUM
ejpam-6304	46	6	;	;	PUNCT
ejpam-6304	46	7	(	(	PUNCT
ejpam-6304	46	8	n3	n3	NOUN
ejpam-6304	46	9	)	)	PUNCT
ejpam-6304	46	10	for	for	ADP
ejpam-6304	46	11	all	all	DET
ejpam-6304	46	12	φ	φ	NOUN
ejpam-6304	46	13	∈	∈	NOUN
ejpam-6304	46	14	r	r	NOUN
ejpam-6304	46	15	with	with	ADP
ejpam-6304	46	16	φ	φ	PROPN
ejpam-6304	46	17	≤	≤	NUM
ejpam-6304	46	18	0	0	NUM
ejpam-6304	46	19	,	,	PUNCT
ejpam-6304	46	20	η(ϖ,φ	η(ϖ,φ	ADJ
ejpam-6304	46	21	)	)	PUNCT
ejpam-6304	46	22	=	=	SYM
ejpam-6304	46	23	0	0	NUM
ejpam-6304	46	24	;	;	PUNCT
ejpam-6304	46	25	(	(	PUNCT
ejpam-6304	46	26	n4	n4	PROPN
ejpam-6304	46	27	)	)	PUNCT
ejpam-6304	46	28	for	for	ADP
ejpam-6304	46	29	all	all	DET
ejpam-6304	46	30	φ	φ	PROPN
ejpam-6304	46	31	∈	∈	PROPN
ejpam-6304	46	32	r+	r+	NOUN
ejpam-6304	46	33	,	,	PUNCT
ejpam-6304	46	34	η(ϖ,φ	η(ϖ,φ	ADJ
ejpam-6304	46	35	)	)	PUNCT
ejpam-6304	46	36	=	=	SYM
ejpam-6304	46	37	1	1	NUM
ejpam-6304	46	38	⇔	⇔	X
ejpam-6304	46	39	ϖ	ϖ	PROPN
ejpam-6304	46	40	=	=	SYM
ejpam-6304	46	41	φ	φ	PROPN
ejpam-6304	46	42	;	;	PUNCT
ejpam-6304	46	43	(	(	PUNCT
ejpam-6304	46	44	n5	n5	PROPN
ejpam-6304	46	45	)	)	PUNCT
ejpam-6304	46	46	for	for	ADP
ejpam-6304	46	47	all	all	DET
ejpam-6304	46	48	φ	φ	PROPN
ejpam-6304	46	49	∈	∈	PROPN
ejpam-6304	46	50	r+	r+	NOUN
ejpam-6304	46	51	,	,	PUNCT
ejpam-6304	46	52	η(σϖ,φ	η(σϖ,φ	PROPN
ejpam-6304	46	53	)	)	PUNCT
ejpam-6304	46	54	≥	≥	NOUN
ejpam-6304	46	55	η(ϖ,φ	η(ϖ,φ	ADV
ejpam-6304	46	56	)	)	PUNCT
ejpam-6304	46	57	if	if	SCONJ
ejpam-6304	46	58	|σ|	|σ|	PROPN
ejpam-6304	46	59	≤	≤	ADV
ejpam-6304	46	60	1	1	NUM
ejpam-6304	46	61	for	for	ADP
ejpam-6304	46	62	all	all	DET
ejpam-6304	46	63	σ	σ	NOUN
ejpam-6304	46	64	∈	∈	PROPN
ejpam-6304	46	65	f	f	X
ejpam-6304	46	66	;	;	PUNCT
ejpam-6304	46	67	(	(	PUNCT
ejpam-6304	46	68	n6	n6	NOUN
ejpam-6304	46	69	)	)	PUNCT
ejpam-6304	46	70	η(ϖ	η(ϖ	PROPN
ejpam-6304	47	1	+	+	PROPN
ejpam-6304	47	2	w	w	PROPN
ejpam-6304	47	3	,	,	PUNCT
ejpam-6304	47	4	o+	o+	NOUN
ejpam-6304	47	5	φ	φ	PROPN
ejpam-6304	47	6	)	)	PUNCT
ejpam-6304	47	7	≥	≥	PROPN
ejpam-6304	47	8	min(η(ϖ	min(η(ϖ	NOUN
ejpam-6304	47	9	,	,	PUNCT
ejpam-6304	47	10	o	o	NOUN
ejpam-6304	47	11	)	)	PUNCT
ejpam-6304	47	12	,	,	PUNCT
ejpam-6304	47	13	η(w	η(w	PROPN
ejpam-6304	47	14	,	,	PUNCT
ejpam-6304	47	15	φ	φ	NOUN
ejpam-6304	47	16	)	)	PUNCT
ejpam-6304	47	17	)	)	PUNCT
ejpam-6304	47	18	for	for	ADP
ejpam-6304	47	19	all	all	DET
ejpam-6304	47	20	o	o	NOUN
ejpam-6304	47	21	,	,	PUNCT
ejpam-6304	47	22	φ	φ	PROPN
ejpam-6304	47	23	∈	∈	PROPN
ejpam-6304	47	24	r+	r+	PRON
ejpam-6304	47	25	;	;	PUNCT
ejpam-6304	47	26	(	(	PUNCT
ejpam-6304	47	27	n7	n7	PROPN
ejpam-6304	47	28	)	)	PUNCT
ejpam-6304	47	29	lim	lim	PROPN
ejpam-6304	47	30	φ→∞	φ→∞	NUM
ejpam-6304	47	31	η(ϖ,φ	η(ϖ,φ	ADV
ejpam-6304	47	32	)	)	PUNCT
ejpam-6304	47	33	=	=	SYM
ejpam-6304	47	34	1	1	NUM
ejpam-6304	47	35	;	;	PUNCT
ejpam-6304	47	36	(	(	PUNCT
ejpam-6304	47	37	n8	n8	PROPN
ejpam-6304	47	38	)	)	PUNCT
ejpam-6304	47	39	if	if	SCONJ
ejpam-6304	47	40	there	there	PRON
ejpam-6304	47	41	exists	exist	VERB
ejpam-6304	47	42	0	0	PUNCT
ejpam-6304	47	43	<	<	X
ejpam-6304	47	44	δ	δ	X
ejpam-6304	47	45	<	<	X
ejpam-6304	47	46	1	1	NUM
ejpam-6304	47	47	such	such	ADJ
ejpam-6304	47	48	that	that	SCONJ
ejpam-6304	47	49	η(ϖ,φ	η(ϖ,φ	ADV
ejpam-6304	47	50	)	)	PUNCT
ejpam-6304	47	51	>	>	X
ejpam-6304	47	52	δ	δ	PROPN
ejpam-6304	47	53	,	,	PUNCT
ejpam-6304	47	54	∀φ	∀φ	PROPN
ejpam-6304	47	55	∈	∈	PROPN
ejpam-6304	47	56	r+	r+	PUNCT
ejpam-6304	47	57	then	then	ADV
ejpam-6304	47	58	ϖ	ϖ	PROPN
ejpam-6304	47	59	=	=	SYM
ejpam-6304	47	60	0	0	NUM
ejpam-6304	47	61	;	;	PUNCT
ejpam-6304	47	62	(	(	PUNCT
ejpam-6304	47	63	n9	n9	X
ejpam-6304	47	64	)	)	PUNCT
ejpam-6304	47	65	η(ϖ	η(ϖ	PROPN
ejpam-6304	47	66	,	,	PUNCT
ejpam-6304	47	67	·	·	PUNCT
ejpam-6304	47	68	)	)	PUNCT
ejpam-6304	47	69	is	be	AUX
ejpam-6304	47	70	left	leave	VERB
ejpam-6304	47	71	continuous	continuous	ADJ
ejpam-6304	47	72	on	on	ADP
ejpam-6304	47	73	r	r	NOUN
ejpam-6304	47	74	,	,	PUNCT
ejpam-6304	47	75	for	for	ADP
ejpam-6304	47	76	all	all	PRON
ejpam-6304	47	77	ϖ	ϖ	NOUN
ejpam-6304	47	78	∈	∈	PROPN
ejpam-6304	47	79	f	f	X
ejpam-6304	47	80	;	;	PUNCT
ejpam-6304	47	81	(	(	PUNCT
ejpam-6304	47	82	n10	n10	X
ejpam-6304	47	83	)	)	PUNCT
ejpam-6304	47	84	for	for	ADP
ejpam-6304	47	85	all	all	DET
ejpam-6304	47	86	φ	φ	NOUN
ejpam-6304	47	87	∈	∈	NOUN
ejpam-6304	47	88	r	r	NOUN
ejpam-6304	47	89	with	with	ADP
ejpam-6304	47	90	φ	φ	PROPN
ejpam-6304	47	91	≤	≤	NUM
ejpam-6304	47	92	0	0	NUM
ejpam-6304	47	93	,	,	PUNCT
ejpam-6304	47	94	ρ(ϖ,φ	ρ(ϖ,φ	NUM
ejpam-6304	47	95	)	)	PUNCT
ejpam-6304	47	96	=	=	SYM
ejpam-6304	47	97	1	1	NUM
ejpam-6304	47	98	;	;	PUNCT
ejpam-6304	47	99	(	(	PUNCT
ejpam-6304	47	100	n11	n11	PROPN
ejpam-6304	47	101	)	)	PUNCT
ejpam-6304	47	102	for	for	ADP
ejpam-6304	47	103	all	all	DET
ejpam-6304	47	104	φ	φ	PROPN
ejpam-6304	47	105	∈	∈	PROPN
ejpam-6304	47	106	r+	r+	NOUN
ejpam-6304	47	107	,	,	PUNCT
ejpam-6304	47	108	ρ(ϖ,φ	ρ(ϖ,φ	NUM
ejpam-6304	47	109	)	)	PUNCT
ejpam-6304	47	110	=	=	SYM
ejpam-6304	47	111	0	0	NUM
ejpam-6304	47	112	⇔	⇔	PROPN
ejpam-6304	47	113	ϖ	ϖ	PROPN
ejpam-6304	47	114	=	=	SYM
ejpam-6304	47	115	φ	φ	PROPN
ejpam-6304	47	116	;	;	PUNCT
ejpam-6304	47	117	(	(	PUNCT
ejpam-6304	47	118	n12	n12	PROPN
ejpam-6304	47	119	)	)	PUNCT
ejpam-6304	47	120	for	for	ADP
ejpam-6304	47	121	all	all	DET
ejpam-6304	47	122	φ	φ	PROPN
ejpam-6304	47	123	∈	∈	PROPN
ejpam-6304	47	124	r+	r+	NOUN
ejpam-6304	47	125	,	,	PUNCT
ejpam-6304	47	126	ρ(σϖ,φ	ρ(σϖ,φ	NUM
ejpam-6304	47	127	)	)	PUNCT
ejpam-6304	47	128	≤	≤	NOUN
ejpam-6304	47	129	ρ(ϖ,φ	ρ(ϖ,φ	NOUN
ejpam-6304	47	130	)	)	PUNCT
ejpam-6304	47	131	if	if	SCONJ
ejpam-6304	47	132	|σ|	|σ|	PROPN
ejpam-6304	47	133	≤	≤	ADV
ejpam-6304	47	134	1	1	NUM
ejpam-6304	47	135	for	for	ADP
ejpam-6304	47	136	all	all	DET
ejpam-6304	47	137	σ	σ	NOUN
ejpam-6304	47	138	∈	∈	PROPN
ejpam-6304	47	139	f	f	X
ejpam-6304	47	140	;	;	PUNCT
ejpam-6304	47	141	(	(	PUNCT
ejpam-6304	47	142	n13	n13	NUM
ejpam-6304	47	143	)	)	PUNCT
ejpam-6304	47	144	ρ(ϖ	ρ(ϖ	PROPN
ejpam-6304	47	145	+	+	PROPN
ejpam-6304	47	146	w	w	PROPN
ejpam-6304	47	147	,	,	PUNCT
ejpam-6304	47	148	o+	o+	NOUN
ejpam-6304	47	149	φ	φ	NOUN
ejpam-6304	47	150	)	)	PUNCT
ejpam-6304	47	151	≤	≤	NUM
ejpam-6304	47	152	max(ρ(ϖ	max(ρ(ϖ	NOUN
ejpam-6304	47	153	,	,	PUNCT
ejpam-6304	47	154	o	o	NOUN
ejpam-6304	47	155	)	)	PUNCT
ejpam-6304	47	156	,	,	PUNCT
ejpam-6304	47	157	ρ(w	ρ(w	PROPN
ejpam-6304	47	158	,	,	PUNCT
ejpam-6304	47	159	φ	φ	NOUN
ejpam-6304	47	160	)	)	PUNCT
ejpam-6304	47	161	)	)	PUNCT
ejpam-6304	47	162	for	for	ADP
ejpam-6304	47	163	all	all	DET
ejpam-6304	47	164	o	o	NOUN
ejpam-6304	47	165	,	,	PUNCT
ejpam-6304	47	166	φ	φ	PROPN
ejpam-6304	47	167	∈	∈	PROPN
ejpam-6304	47	168	r+	r+	PRON
ejpam-6304	47	169	;	;	PUNCT
ejpam-6304	47	170	(	(	PUNCT
ejpam-6304	47	171	n14	n14	PROPN
ejpam-6304	47	172	)	)	PUNCT
ejpam-6304	47	173	lim	lim	PROPN
ejpam-6304	47	174	φ→∞	φ→∞	NOUN
ejpam-6304	47	175	ρ(ϖ,φ	ρ(ϖ,φ	NOUN
ejpam-6304	47	176	)	)	PUNCT
ejpam-6304	47	177	=	=	SYM
ejpam-6304	47	178	0	0	NUM
ejpam-6304	47	179	;	;	PUNCT
ejpam-6304	47	180	pandiselvi	pandiselvi	ADJ
ejpam-6304	47	181	.	.	PUNCT
ejpam-6304	48	1	m	m	PROPN
ejpam-6304	48	2	,	,	PUNCT
ejpam-6304	48	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	48	4	.	.	PUNCT
ejpam-6304	49	1	m	m	PROPN
ejpam-6304	49	2	andmohammad	andmohammad	PROPN
ejpam-6304	49	3	akram	akram	PROPN
ejpam-6304	49	4	/	/	PUNCT
ejpam-6304	49	5	eur	eur	PROPN
ejpam-6304	49	6	.	.	PUNCT
ejpam-6304	50	1	j.	j.	PROPN
ejpam-6304	50	2	pure	pure	PROPN
ejpam-6304	50	3	appl	appl	PROPN
ejpam-6304	50	4	.	.	PROPN
ejpam-6304	50	5	math	math	PROPN
ejpam-6304	50	6	,	,	PUNCT
ejpam-6304	50	7	18	18	NUM
ejpam-6304	50	8	(	(	PUNCT
ejpam-6304	50	9	3	3	NUM
ejpam-6304	50	10	)	)	PUNCT
ejpam-6304	50	11	(	(	PUNCT
ejpam-6304	50	12	2025	2025	NUM
ejpam-6304	50	13	)	)	PUNCT
ejpam-6304	50	14	,	,	PUNCT
ejpam-6304	50	15	6304	6304	NUM
ejpam-6304	50	16	3	3	NUM
ejpam-6304	50	17	of	of	ADP
ejpam-6304	50	18	15	15	NUM
ejpam-6304	50	19	(	(	PUNCT
ejpam-6304	50	20	n15	n15	PROPN
ejpam-6304	50	21	)	)	PUNCT
ejpam-6304	50	22	if	if	SCONJ
ejpam-6304	50	23	there	there	PRON
ejpam-6304	50	24	exists	exist	VERB
ejpam-6304	50	25	0	0	PUNCT
ejpam-6304	50	26	<	<	X
ejpam-6304	50	27	δ	δ	X
ejpam-6304	50	28	<	<	X
ejpam-6304	50	29	1	1	NUM
ejpam-6304	50	30	such	such	ADJ
ejpam-6304	50	31	that	that	DET
ejpam-6304	50	32	ρ(ϖ,φ	ρ(ϖ,φ	NOUN
ejpam-6304	50	33	)	)	PUNCT
ejpam-6304	50	34	<	<	X
ejpam-6304	50	35	δ	δ	PROPN
ejpam-6304	50	36	,	,	PUNCT
ejpam-6304	50	37	∀φ	∀φ	PROPN
ejpam-6304	50	38	∈	∈	PROPN
ejpam-6304	50	39	r+	r+	PUNCT
ejpam-6304	50	40	then	then	ADV
ejpam-6304	50	41	ϖ	ϖ	PROPN
ejpam-6304	50	42	=	=	SYM
ejpam-6304	50	43	0	0	NUM
ejpam-6304	50	44	;	;	PUNCT
ejpam-6304	50	45	(	(	PUNCT
ejpam-6304	50	46	n16	n16	NOUN
ejpam-6304	50	47	)	)	PUNCT
ejpam-6304	50	48	ρ(ϖ	ρ(ϖ	PROPN
ejpam-6304	50	49	,	,	PUNCT
ejpam-6304	50	50	·	·	PUNCT
ejpam-6304	50	51	)	)	PUNCT
ejpam-6304	50	52	is	be	AUX
ejpam-6304	50	53	left	leave	VERB
ejpam-6304	50	54	continuous	continuous	ADJ
ejpam-6304	50	55	on	on	ADP
ejpam-6304	50	56	r	r	NOUN
ejpam-6304	50	57	,	,	PUNCT
ejpam-6304	50	58	for	for	ADP
ejpam-6304	50	59	all	all	PRON
ejpam-6304	50	60	ϖ	ϖ	NOUN
ejpam-6304	50	61	∈	∈	PROPN
ejpam-6304	50	62	f	f	X
ejpam-6304	50	63	;	;	PUNCT
ejpam-6304	50	64	(	(	PUNCT
ejpam-6304	50	65	n17	n17	PROPN
ejpam-6304	50	66	)	)	PUNCT
ejpam-6304	50	67	for	for	ADP
ejpam-6304	50	68	all	all	DET
ejpam-6304	50	69	φ	φ	NOUN
ejpam-6304	50	70	∈	∈	NOUN
ejpam-6304	50	71	r	r	NOUN
ejpam-6304	50	72	with	with	ADP
ejpam-6304	50	73	φ	φ	PROPN
ejpam-6304	50	74	≤	≤	NUM
ejpam-6304	50	75	0	0	NUM
ejpam-6304	50	76	,	,	PUNCT
ejpam-6304	50	77	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	50	78	)	)	PUNCT
ejpam-6304	50	79	=	=	SYM
ejpam-6304	51	1	1	1	NUM
ejpam-6304	51	2	;	;	PUNCT
ejpam-6304	51	3	(	(	PUNCT
ejpam-6304	51	4	n18	n18	NOUN
ejpam-6304	51	5	)	)	PUNCT
ejpam-6304	51	6	for	for	ADP
ejpam-6304	51	7	all	all	DET
ejpam-6304	51	8	φ	φ	PROPN
ejpam-6304	51	9	∈	∈	PROPN
ejpam-6304	51	10	r+	r+	NOUN
ejpam-6304	51	11	,	,	PUNCT
ejpam-6304	51	12	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	51	13	)	)	PUNCT
ejpam-6304	51	14	=	=	SYM
ejpam-6304	51	15	0	0	NUM
ejpam-6304	51	16	⇔	⇔	NUM
ejpam-6304	51	17	ϖ	ϖ	PROPN
ejpam-6304	51	18	=	=	SYM
ejpam-6304	51	19	0	0	NUM
ejpam-6304	51	20	;	;	PUNCT
ejpam-6304	51	21	(	(	PUNCT
ejpam-6304	51	22	n19	n19	NOUN
ejpam-6304	51	23	)	)	PUNCT
ejpam-6304	51	24	for	for	ADP
ejpam-6304	51	25	all	all	DET
ejpam-6304	51	26	φ	φ	PROPN
ejpam-6304	51	27	∈	∈	PROPN
ejpam-6304	51	28	r+	r+	NOUN
ejpam-6304	51	29	,	,	PUNCT
ejpam-6304	51	30	ς(σϖ,φ	ς(σϖ,φ	NOUN
ejpam-6304	51	31	)	)	PUNCT
ejpam-6304	51	32	≤	≤	NOUN
ejpam-6304	51	33	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	51	34	)	)	PUNCT
ejpam-6304	51	35	if	if	SCONJ
ejpam-6304	51	36	|σ|	|σ|	PROPN
ejpam-6304	51	37	≤	≤	ADV
ejpam-6304	51	38	1	1	NUM
ejpam-6304	51	39	for	for	ADP
ejpam-6304	51	40	all	all	PRON
ejpam-6304	51	41	σ	σ	NOUN
ejpam-6304	51	42	∈	∈	PROPN
ejpam-6304	51	43	f	f	X
ejpam-6304	51	44	;	;	PUNCT
ejpam-6304	51	45	(	(	PUNCT
ejpam-6304	51	46	n20	n20	NOUN
ejpam-6304	51	47	)	)	PUNCT
ejpam-6304	51	48	ς(ϖ	ς(ϖ	PROPN
ejpam-6304	52	1	+	+	PROPN
ejpam-6304	52	2	w	w	PROPN
ejpam-6304	52	3	,	,	PUNCT
ejpam-6304	52	4	o+	o+	NOUN
ejpam-6304	52	5	φ	φ	NOUN
ejpam-6304	52	6	)	)	PUNCT
ejpam-6304	52	7	≤	≤	PROPN
ejpam-6304	52	8	max(ς(ϖ	max(ς(ϖ	PROPN
ejpam-6304	52	9	,	,	PUNCT
ejpam-6304	52	10	o	o	NOUN
ejpam-6304	52	11	)	)	PUNCT
ejpam-6304	52	12	,	,	PUNCT
ejpam-6304	52	13	ς(w	ς(w	PROPN
ejpam-6304	52	14	,	,	PUNCT
ejpam-6304	52	15	φ	φ	NOUN
ejpam-6304	52	16	)	)	PUNCT
ejpam-6304	52	17	)	)	PUNCT
ejpam-6304	53	1	for	for	ADP
ejpam-6304	53	2	all	all	DET
ejpam-6304	53	3	o	o	NOUN
ejpam-6304	53	4	,	,	PUNCT
ejpam-6304	53	5	φ	φ	PROPN
ejpam-6304	53	6	∈	∈	PROPN
ejpam-6304	53	7	r+	r+	PRON
ejpam-6304	53	8	;	;	PUNCT
ejpam-6304	53	9	(	(	PUNCT
ejpam-6304	53	10	n21	n21	PROPN
ejpam-6304	53	11	)	)	PUNCT
ejpam-6304	53	12	lim	lim	PROPN
ejpam-6304	53	13	φ→∞	φ→∞	NOUN
ejpam-6304	53	14	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	53	15	)	)	PUNCT
ejpam-6304	53	16	=	=	SYM
ejpam-6304	53	17	0	0	NUM
ejpam-6304	53	18	;	;	PUNCT
ejpam-6304	53	19	(	(	PUNCT
ejpam-6304	53	20	n22	n22	NOUN
ejpam-6304	53	21	)	)	PUNCT
ejpam-6304	53	22	if	if	SCONJ
ejpam-6304	53	23	there	there	PRON
ejpam-6304	53	24	exists	exist	VERB
ejpam-6304	53	25	0	0	PUNCT
ejpam-6304	53	26	<	<	X
ejpam-6304	53	27	δ	δ	X
ejpam-6304	53	28	<	<	X
ejpam-6304	53	29	1	1	NUM
ejpam-6304	53	30	such	such	ADJ
ejpam-6304	53	31	that	that	SCONJ
ejpam-6304	53	32	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	53	33	)	)	PUNCT
ejpam-6304	53	34	<	<	X
ejpam-6304	53	35	δ	δ	PROPN
ejpam-6304	53	36	,	,	PUNCT
ejpam-6304	53	37	∀φ	∀φ	PROPN
ejpam-6304	53	38	∈	∈	PROPN
ejpam-6304	53	39	r+	r+	PUNCT
ejpam-6304	53	40	then	then	ADV
ejpam-6304	53	41	ϖ	ϖ	PROPN
ejpam-6304	53	42	=	=	SYM
ejpam-6304	53	43	0	0	NUM
ejpam-6304	53	44	;	;	PUNCT
ejpam-6304	53	45	(	(	PUNCT
ejpam-6304	53	46	n23	n23	NOUN
ejpam-6304	53	47	)	)	PUNCT
ejpam-6304	53	48	ς(ϖ	ς(ϖ	PROPN
ejpam-6304	53	49	,	,	PUNCT
ejpam-6304	53	50	·	·	PUNCT
ejpam-6304	53	51	)	)	PUNCT
ejpam-6304	53	52	is	be	AUX
ejpam-6304	53	53	left	leave	VERB
ejpam-6304	53	54	continuous	continuous	ADJ
ejpam-6304	53	55	on	on	ADP
ejpam-6304	53	56	r	r	NOUN
ejpam-6304	53	57	,	,	PUNCT
ejpam-6304	53	58	for	for	ADP
ejpam-6304	53	59	all	all	PRON
ejpam-6304	53	60	ϖ	ϖ	NOUN
ejpam-6304	53	61	∈	∈	PROPN
ejpam-6304	53	62	f	f	NOUN
ejpam-6304	53	63	;	;	PUNCT
ejpam-6304	53	64	then	then	ADV
ejpam-6304	53	65	the	the	DET
ejpam-6304	53	66	4	4	NUM
ejpam-6304	53	67	-	-	PUNCT
ejpam-6304	53	68	tuple	tuple	NOUN
ejpam-6304	53	69	(	(	PUNCT
ejpam-6304	53	70	f	f	PROPN
ejpam-6304	53	71	,	,	PUNCT
ejpam-6304	53	72	η	η	PROPN
ejpam-6304	53	73	,	,	PUNCT
ejpam-6304	53	74	ρ	ρ	PROPN
ejpam-6304	53	75	,	,	PUNCT
ejpam-6304	53	76	ς	ς	NOUN
ejpam-6304	53	77	)	)	PUNCT
ejpam-6304	53	78	is	be	AUX
ejpam-6304	53	79	named	name	VERB
ejpam-6304	53	80	to	to	PART
ejpam-6304	53	81	be	be	AUX
ejpam-6304	53	82	a	a	DET
ejpam-6304	53	83	neutrosophic	neutrosophic	ADJ
ejpam-6304	53	84	pseudo	pseudo	NOUN
ejpam-6304	53	85	normed	norme	VERB
ejpam-6304	53	86	linear	linear	ADJ
ejpam-6304	53	87	space	space	NOUN
ejpam-6304	53	88	[	[	X
ejpam-6304	53	89	npnls	npnls	NOUN
ejpam-6304	53	90	]	]	PUNCT
ejpam-6304	53	91	.	.	PUNCT
ejpam-6304	54	1	note	note	VERB
ejpam-6304	54	2	1	1	NUM
ejpam-6304	54	3	.	.	PUNCT
ejpam-6304	55	1	r	r	NOUN
ejpam-6304	55	2	∗	∗	NOUN
ejpam-6304	55	3	s	s	PART
ejpam-6304	55	4	=	=	SYM
ejpam-6304	55	5	r	r	NOUN
ejpam-6304	55	6	and	and	CCONJ
ejpam-6304	55	7	r	r	X
ejpam-6304	55	8	♢	♢	PROPN
ejpam-6304	55	9	s	s	X
ejpam-6304	55	10	=	=	X
ejpam-6304	55	11	r,∀r	r,∀r	SYM
ejpam-6304	55	12	∈	∈	PROPN
ejpam-6304	56	1	[	[	X
ejpam-6304	56	2	0	0	NUM
ejpam-6304	56	3	,	,	PUNCT
ejpam-6304	56	4	1	1	NUM
ejpam-6304	56	5	]	]	PUNCT
ejpam-6304	56	6	is	be	AUX
ejpam-6304	56	7	satisfied	satisfied	ADJ
ejpam-6304	56	8	only	only	ADV
ejpam-6304	56	9	when	when	SCONJ
ejpam-6304	56	10	r	r	NOUN
ejpam-6304	56	11	∗	∗	NOUN
ejpam-6304	56	12	s	s	NOUN
ejpam-6304	56	13	=	=	NOUN
ejpam-6304	56	14	max{r	max{r	NOUN
ejpam-6304	56	15	,	,	PUNCT
ejpam-6304	56	16	s	s	AUX
ejpam-6304	56	17	}	}	PUNCT
ejpam-6304	56	18	and	and	CCONJ
ejpam-6304	56	19	r	r	X
ejpam-6304	56	20	♢	♢	PROPN
ejpam-6304	56	21	s	s	NOUN
ejpam-6304	56	22	=	=	SYM
ejpam-6304	56	23	max{r	max{r	NOUN
ejpam-6304	56	24	,	,	PUNCT
ejpam-6304	56	25	s	s	NOUN
ejpam-6304	56	26	}	}	PUNCT
ejpam-6304	56	27	.	.	PUNCT
ejpam-6304	57	1	definition	definition	NOUN
ejpam-6304	57	2	3	3	X
ejpam-6304	57	3	.	.	PUNCT
ejpam-6304	58	1	let	let	AUX
ejpam-6304	58	2	(	(	PUNCT
ejpam-6304	58	3	f	f	X
ejpam-6304	58	4	,	,	PUNCT
ejpam-6304	58	5	η	η	PROPN
ejpam-6304	58	6	,	,	PUNCT
ejpam-6304	58	7	ρ	ρ	PROPN
ejpam-6304	58	8	,	,	PUNCT
ejpam-6304	58	9	ς	ς	NOUN
ejpam-6304	58	10	)	)	PUNCT
ejpam-6304	58	11	be	be	VERB
ejpam-6304	58	12	npnls	npnls	NOUN
ejpam-6304	58	13	.	.	PUNCT
ejpam-6304	59	1	a	a	DET
ejpam-6304	59	2	sequence	sequence	NOUN
ejpam-6304	59	3	{	{	PUNCT
ejpam-6304	59	4	rn	rn	NOUN
ejpam-6304	59	5	}	}	PUNCT
ejpam-6304	59	6	converges	converge	NOUN
ejpam-6304	59	7	to	to	ADP
ejpam-6304	59	8	r	r	NOUN
ejpam-6304	59	9	∈	∈	NOUN
ejpam-6304	59	10	f	f	NOUN
ejpam-6304	59	11	if	if	SCONJ
ejpam-6304	60	1	and	and	CCONJ
ejpam-6304	60	2	only	only	ADV
ejpam-6304	60	3	if	if	SCONJ
ejpam-6304	60	4	lim	lim	PROPN
ejpam-6304	60	5	φ→∞	φ→∞	X
ejpam-6304	60	6	η(rn	η(rn	PROPN
ejpam-6304	60	7	−	−	PROPN
ejpam-6304	60	8	r	r	PROPN
ejpam-6304	60	9	,	,	PUNCT
ejpam-6304	60	10	φ	φ	NUM
ejpam-6304	60	11	)	)	PUNCT
ejpam-6304	60	12	=	=	SYM
ejpam-6304	60	13	1	1	NUM
ejpam-6304	60	14	,	,	PUNCT
ejpam-6304	60	15	lim	lim	NOUN
ejpam-6304	60	16	φ→∞	φ→∞	NUM
ejpam-6304	60	17	ρ(rn	ρ(rn	PROPN
ejpam-6304	60	18	−	−	PROPN
ejpam-6304	60	19	r	r	NOUN
ejpam-6304	60	20	,	,	PUNCT
ejpam-6304	60	21	φ	φ	NUM
ejpam-6304	60	22	)	)	PUNCT
ejpam-6304	60	23	=	=	SYM
ejpam-6304	60	24	0	0	NUM
ejpam-6304	60	25	and	and	CCONJ
ejpam-6304	60	26	lim	lim	PROPN
ejpam-6304	60	27	φ→∞	φ→∞	NUM
ejpam-6304	60	28	ς(rn	ς(rn	PROPN
ejpam-6304	60	29	−	−	ADP
ejpam-6304	60	30	r	r	NOUN
ejpam-6304	60	31	,	,	PUNCT
ejpam-6304	60	32	φ	φ	NUM
ejpam-6304	60	33	)	)	PUNCT
ejpam-6304	61	1	=	=	SYM
ejpam-6304	61	2	0	0	X
ejpam-6304	61	3	.	.	PUNCT
ejpam-6304	61	4	theorem	theorem	NOUN
ejpam-6304	61	5	2	2	NUM
ejpam-6304	61	6	.	.	PUNCT
ejpam-6304	62	1	let	let	AUX
ejpam-6304	62	2	(	(	PUNCT
ejpam-6304	62	3	f	f	X
ejpam-6304	62	4	,	,	PUNCT
ejpam-6304	62	5	η	η	PROPN
ejpam-6304	62	6	,	,	PUNCT
ejpam-6304	62	7	ρ	ρ	PROPN
ejpam-6304	62	8	,	,	PUNCT
ejpam-6304	62	9	ς	ς	NOUN
ejpam-6304	62	10	)	)	PUNCT
ejpam-6304	62	11	be	be	VERB
ejpam-6304	62	12	npnls	npnls	NOUN
ejpam-6304	62	13	.	.	PUNCT
ejpam-6304	63	1	then	then	ADV
ejpam-6304	63	2	for	for	ADP
ejpam-6304	63	3	any	any	PRON
ejpam-6304	63	4	0	0	PUNCT
ejpam-6304	63	5	<	<	X
ejpam-6304	63	6	δ	δ	X
ejpam-6304	63	7	<	<	X
ejpam-6304	63	8	1	1	NUM
ejpam-6304	63	9	the	the	DET
ejpam-6304	63	10	functions	function	NOUN
ejpam-6304	63	11	∥ϖ∥δ	∥ϖ∥δ	VERB
ejpam-6304	63	12	,	,	PUNCT
ejpam-6304	63	13	∥ϖ∥∗δ	∥ϖ∥∗δ	PROPN
ejpam-6304	63	14	:	:	PUNCT
ejpam-6304	64	1	f	f	X
ejpam-6304	64	2	→	→	PUNCT
ejpam-6304	64	3	[	[	X
ejpam-6304	64	4	0,∞	0,∞	NOUN
ejpam-6304	64	5	)	)	PUNCT
ejpam-6304	64	6	defined	define	VERB
ejpam-6304	64	7	as	as	ADP
ejpam-6304	64	8	∥ϖ∥δ	∥ϖ∥δ	NOUN
ejpam-6304	64	9	=	=	PUNCT
ejpam-6304	64	10	∧{φ	∧{φ	PROPN
ejpam-6304	64	11	>	>	X
ejpam-6304	64	12	0	0	NUM
ejpam-6304	64	13	:	:	PUNCT
ejpam-6304	64	14	η(ϖ,φ	η(ϖ,φ	NUM
ejpam-6304	64	15	)	)	PUNCT
ejpam-6304	64	16	≥	≥	NUM
ejpam-6304	64	17	δ	δ	NOUN
ejpam-6304	64	18	}	}	PUNCT
ejpam-6304	64	19	is	be	AUX
ejpam-6304	64	20	ascending	ascend	VERB
ejpam-6304	64	21	family	family	NOUN
ejpam-6304	64	22	of	of	ADP
ejpam-6304	64	23	pseudo	pseudo	NOUN
ejpam-6304	64	24	norm	norm	NOUN
ejpam-6304	64	25	on	on	ADP
ejpam-6304	64	26	f.	f.	PROPN
ejpam-6304	64	27	∥ϖ∥∗δ	∥ϖ∥∗δ	PROPN
ejpam-6304	65	1	=	=	PUNCT
ejpam-6304	65	2	∧{φ	∧{φ	PROPN
ejpam-6304	65	3	>	>	X
ejpam-6304	65	4	0	0	NUM
ejpam-6304	65	5	:	:	PUNCT
ejpam-6304	65	6	ρ(ϖ,φ	ρ(ϖ,φ	NUM
ejpam-6304	65	7	)	)	PUNCT
ejpam-6304	65	8	≤	≤	NUM
ejpam-6304	65	9	δ	δ	PROPN
ejpam-6304	65	10	and	and	CCONJ
ejpam-6304	65	11	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	65	12	)	)	PUNCT
ejpam-6304	65	13	≤	≤	NUM
ejpam-6304	65	14	δ	δ	PROPN
ejpam-6304	65	15	}	}	PUNCT
ejpam-6304	65	16	is	be	AUX
ejpam-6304	65	17	a	a	DET
ejpam-6304	65	18	descending	descend	VERB
ejpam-6304	65	19	family	family	NOUN
ejpam-6304	65	20	pseudo	pseudo	NOUN
ejpam-6304	65	21	norm	norm	NOUN
ejpam-6304	65	22	on	on	ADP
ejpam-6304	65	23	f.	f.	PROPN
ejpam-6304	65	24	theorem	theorem	PROPN
ejpam-6304	65	25	3	3	X
ejpam-6304	65	26	.	.	PUNCT
ejpam-6304	66	1	let	let	AUX
ejpam-6304	66	2	(	(	PUNCT
ejpam-6304	66	3	f	f	X
ejpam-6304	66	4	,	,	PUNCT
ejpam-6304	66	5	η	η	PROPN
ejpam-6304	66	6	,	,	PUNCT
ejpam-6304	66	7	ρ	ρ	PROPN
ejpam-6304	66	8	,	,	PUNCT
ejpam-6304	66	9	ς	ς	NOUN
ejpam-6304	66	10	)	)	PUNCT
ejpam-6304	66	11	be	be	VERB
ejpam-6304	66	12	npnls	npnls	NOUN
ejpam-6304	66	13	and	and	CCONJ
ejpam-6304	66	14	let	let	VERB
ejpam-6304	66	15	η	η	PROPN
ejpam-6304	66	16	′	′	NUM
ejpam-6304	66	17	(	(	PUNCT
ejpam-6304	66	18	ϖ,φ	ϖ,φ	PROPN
ejpam-6304	66	19	)	)	PUNCT
ejpam-6304	66	20	=	=	SYM
ejpam-6304	66	21	{	{	PUNCT
ejpam-6304	66	22	∨{0	∨{0	PUNCT
ejpam-6304	66	23	<	<	X
ejpam-6304	66	24	δ	δ	X
ejpam-6304	66	25	<	<	X
ejpam-6304	66	26	1	1	NUM
ejpam-6304	66	27	:	:	PUNCT
ejpam-6304	66	28	∥ϖ∥δ	∥ϖ∥δ	X
ejpam-6304	66	29	≤	≤	NUM
ejpam-6304	66	30	φ	φ	VERB
ejpam-6304	66	31	}	}	PUNCT
ejpam-6304	66	32	ifφ	ifφ	ADV
ejpam-6304	66	33	>	>	X
ejpam-6304	66	34	0	0	NUM
ejpam-6304	66	35	0	0	NUM
ejpam-6304	66	36	ifφ	ifφ	ADJ
ejpam-6304	66	37	≤	≤	NOUN
ejpam-6304	66	38	0	0	NUM
ejpam-6304	66	39	,	,	PUNCT
ejpam-6304	66	40	ρ	ρ	PROPN
ejpam-6304	66	41	′	′	NUM
ejpam-6304	66	42	(	(	PUNCT
ejpam-6304	66	43	ϖ,φ	ϖ,φ	PROPN
ejpam-6304	66	44	)	)	PUNCT
ejpam-6304	67	1	=	=	PRON
ejpam-6304	67	2	{	{	PUNCT
ejpam-6304	67	3	∧{0	∧{0	VERB
ejpam-6304	67	4	<	<	X
ejpam-6304	67	5	δ	δ	X
ejpam-6304	67	6	<	<	X
ejpam-6304	67	7	1	1	NUM
ejpam-6304	67	8	:	:	PUNCT
ejpam-6304	67	9	∥ϖ∥∗δ	∥ϖ∥∗δ	PROPN
ejpam-6304	67	10	≤	≤	PROPN
ejpam-6304	67	11	φ	φ	X
ejpam-6304	67	12	}	}	PUNCT
ejpam-6304	67	13	ifφ	ifφ	ADV
ejpam-6304	67	14	>	>	SYM
ejpam-6304	67	15	0	0	NUM
ejpam-6304	67	16	1	1	NUM
ejpam-6304	67	17	ifφ	ifφ	ADJ
ejpam-6304	67	18	≤	≤	PROPN
ejpam-6304	67	19	0	0	NUM
ejpam-6304	68	1	and	and	CCONJ
ejpam-6304	68	2	ς	ς	PROPN
ejpam-6304	68	3	′	′	NUM
ejpam-6304	68	4	(	(	PUNCT
ejpam-6304	68	5	ϖ,φ	ϖ,φ	PROPN
ejpam-6304	68	6	)	)	PUNCT
ejpam-6304	69	1	=	=	PRON
ejpam-6304	69	2	{	{	PUNCT
ejpam-6304	69	3	∧{0	∧{0	VERB
ejpam-6304	69	4	<	<	X
ejpam-6304	69	5	δ	δ	X
ejpam-6304	69	6	<	<	X
ejpam-6304	69	7	1	1	NUM
ejpam-6304	69	8	:	:	PUNCT
ejpam-6304	69	9	∥ϖ∥∗δ	∥ϖ∥∗δ	PROPN
ejpam-6304	69	10	≤	≤	PROPN
ejpam-6304	69	11	φ	φ	X
ejpam-6304	69	12	}	}	PUNCT
ejpam-6304	69	13	ifφ	ifφ	ADV
ejpam-6304	69	14	>	>	SYM
ejpam-6304	69	15	0	0	NUM
ejpam-6304	69	16	1	1	NUM
ejpam-6304	69	17	ifφ	ifφ	ADJ
ejpam-6304	69	18	≤	≤	NOUN
ejpam-6304	69	19	0	0	PUNCT
ejpam-6304	70	1	then	then	ADV
ejpam-6304	70	2	(	(	PUNCT
ejpam-6304	70	3	1	1	NUM
ejpam-6304	70	4	)	)	PUNCT
ejpam-6304	70	5	.	.	PUNCT
ejpam-6304	71	1	(	(	PUNCT
ejpam-6304	71	2	η	η	PROPN
ejpam-6304	71	3	′	′	PROPN
ejpam-6304	71	4	,	,	PUNCT
ejpam-6304	71	5	ρ	ρ	PROPN
ejpam-6304	71	6	′	′	NUM
ejpam-6304	71	7	,	,	PUNCT
ejpam-6304	71	8	ς	ς	PROPN
ejpam-6304	71	9	′	′	NUM
ejpam-6304	71	10	)	)	PUNCT
ejpam-6304	71	11	is	be	AUX
ejpam-6304	71	12	a	a	DET
ejpam-6304	71	13	neutrosophic	neutrosophic	ADJ
ejpam-6304	71	14	pseudo	pseudo	NOUN
ejpam-6304	71	15	norm	norm	NOUN
ejpam-6304	71	16	on	on	ADP
ejpam-6304	71	17	f.	f.	PROPN
ejpam-6304	71	18	(	(	PUNCT
ejpam-6304	71	19	2	2	NUM
ejpam-6304	71	20	)	)	PUNCT
ejpam-6304	71	21	.	.	PUNCT
ejpam-6304	72	1	η	η	X
ejpam-6304	72	2	=	=	PROPN
ejpam-6304	72	3	η	η	PROPN
ejpam-6304	72	4	′	′	PROPN
ejpam-6304	72	5	,	,	PUNCT
ejpam-6304	72	6	ρ	ρ	PROPN
ejpam-6304	72	7	=	=	SYM
ejpam-6304	72	8	ρ	ρ	PROPN
ejpam-6304	72	9	′	′	NUM
ejpam-6304	72	10	and	and	CCONJ
ejpam-6304	72	11	ς	ς	PROPN
ejpam-6304	72	12	=	=	SYM
ejpam-6304	72	13	ς	ς	PROPN
ejpam-6304	72	14	′	′	NOUN
ejpam-6304	72	15	,	,	PUNCT
ejpam-6304	72	16	where	where	SCONJ
ejpam-6304	72	17	∥ϖ∥δ	∥ϖ∥δ	ADJ
ejpam-6304	72	18	is	be	AUX
ejpam-6304	72	19	an	an	DET
ejpam-6304	72	20	ascending	ascend	VERB
ejpam-6304	72	21	family	family	NOUN
ejpam-6304	72	22	of	of	ADP
ejpam-6304	72	23	pseudo	pseudo	NOUN
ejpam-6304	72	24	norms	norm	NOUN
ejpam-6304	72	25	and	and	CCONJ
ejpam-6304	72	26	∥ϖ∥∗δ	∥ϖ∥∗δ	PROPN
ejpam-6304	72	27	is	be	AUX
ejpam-6304	72	28	descending	descend	VERB
ejpam-6304	72	29	family	family	NOUN
ejpam-6304	72	30	of	of	ADP
ejpam-6304	72	31	pseudo	pseudo	NOUN
ejpam-6304	72	32	norms	norm	NOUN
ejpam-6304	72	33	defined	define	VERB
ejpam-6304	72	34	in	in	ADP
ejpam-6304	72	35	theorem	theorem	NOUN
ejpam-6304	72	36	(	(	PUNCT
ejpam-6304	72	37	2	2	NUM
ejpam-6304	72	38	)	)	PUNCT
ejpam-6304	72	39	.	.	PUNCT
ejpam-6304	73	1	3	3	X
ejpam-6304	73	2	.	.	NUM
ejpam-6304	73	3	neutrosophic	neutrosophic	ADJ
ejpam-6304	73	4	continuities	continuity	NOUN
ejpam-6304	73	5	of	of	ADP
ejpam-6304	73	6	an	an	DET
ejpam-6304	73	7	operators	operator	NOUN
ejpam-6304	73	8	on	on	ADP
ejpam-6304	73	9	neutrosophic	neutrosophic	ADJ
ejpam-6304	73	10	pseudo	pseudo	NOUN
ejpam-6304	73	11	normed	norme	VERB
ejpam-6304	73	12	linear	linear	PROPN
ejpam-6304	73	13	spaces	space	NOUN
ejpam-6304	73	14	this	this	DET
ejpam-6304	73	15	section	section	NOUN
ejpam-6304	73	16	investigates	investigate	VERB
ejpam-6304	73	17	various	various	ADJ
ejpam-6304	73	18	forms	form	NOUN
ejpam-6304	73	19	of	of	ADP
ejpam-6304	73	20	continuity	continuity	NOUN
ejpam-6304	73	21	for	for	ADP
ejpam-6304	73	22	operators	operator	NOUN
ejpam-6304	73	23	on	on	ADP
ejpam-6304	73	24	npnls	npnls	NOUN
ejpam-6304	73	25	,	,	PUNCT
ejpam-6304	73	26	which	which	PRON
ejpam-6304	73	27	are	be	AUX
ejpam-6304	73	28	essential	essential	ADJ
ejpam-6304	73	29	for	for	ADP
ejpam-6304	73	30	understanding	understand	VERB
ejpam-6304	73	31	operator	operator	NOUN
ejpam-6304	73	32	behavior	behavior	NOUN
ejpam-6304	73	33	in	in	ADP
ejpam-6304	73	34	neutrosophic	neutrosophic	ADJ
ejpam-6304	73	35	settings	setting	NOUN
ejpam-6304	73	36	.	.	PUNCT
ejpam-6304	74	1	definition	definition	NOUN
ejpam-6304	74	2	4	4	NUM
ejpam-6304	74	3	.	.	PUNCT
ejpam-6304	75	1	let	let	VERB
ejpam-6304	75	2	(	(	PUNCT
ejpam-6304	75	3	f	f	X
ejpam-6304	75	4	,	,	PUNCT
ejpam-6304	75	5	η1	η1	NOUN
ejpam-6304	75	6	,	,	PUNCT
ejpam-6304	75	7	ρ1	ρ1	NOUN
ejpam-6304	75	8	,	,	PUNCT
ejpam-6304	75	9	ς1	ς1	NOUN
ejpam-6304	75	10	)	)	PUNCT
ejpam-6304	75	11	and	and	CCONJ
ejpam-6304	75	12	(	(	PUNCT
ejpam-6304	75	13	g	g	NOUN
ejpam-6304	75	14	,	,	PUNCT
ejpam-6304	75	15	η2	η2	NOUN
ejpam-6304	75	16	,	,	PUNCT
ejpam-6304	75	17	ρ2	ρ2	NOUN
ejpam-6304	75	18	,	,	PUNCT
ejpam-6304	75	19	ς2	ς2	PROPN
ejpam-6304	75	20	)	)	PUNCT
ejpam-6304	75	21	be	be	VERB
ejpam-6304	75	22	npnls	npnls	NOUN
ejpam-6304	75	23	.	.	PUNCT
ejpam-6304	76	1	a	a	DET
ejpam-6304	76	2	mapping	mapping	NOUN
ejpam-6304	76	3	υ	υ	NOUN
ejpam-6304	76	4	:	:	PUNCT
ejpam-6304	76	5	(	(	PUNCT
ejpam-6304	76	6	f	f	X
ejpam-6304	76	7	,	,	PUNCT
ejpam-6304	76	8	η1	η1	NOUN
ejpam-6304	76	9	,	,	PUNCT
ejpam-6304	76	10	ρ1	ρ1	NOUN
ejpam-6304	76	11	,	,	PUNCT
ejpam-6304	76	12	ς1	ς1	NOUN
ejpam-6304	76	13	)	)	PUNCT
ejpam-6304	76	14	→	→	SYM
ejpam-6304	76	15	(	(	PUNCT
ejpam-6304	76	16	g	g	NOUN
ejpam-6304	76	17	,	,	PUNCT
ejpam-6304	76	18	η2	η2	NOUN
ejpam-6304	76	19	,	,	PUNCT
ejpam-6304	76	20	ρ2	ρ2	NOUN
ejpam-6304	76	21	,	,	PUNCT
ejpam-6304	76	22	ς2	ς2	PROPN
ejpam-6304	76	23	)	)	PUNCT
ejpam-6304	76	24	is	be	AUX
ejpam-6304	76	25	named	name	VERB
ejpam-6304	76	26	to	to	PART
ejpam-6304	76	27	be	be	AUX
ejpam-6304	76	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	76	29	continuous	continuous	ADJ
ejpam-6304	76	30	at	at	ADP
ejpam-6304	76	31	ϖ0	ϖ0	NOUN
ejpam-6304	76	32	if	if	SCONJ
ejpam-6304	76	33	for	for	ADP
ejpam-6304	76	34	any	any	PRON
ejpam-6304	76	35	given	give	VERB
ejpam-6304	76	36	ϵ	ϵ	PROPN
ejpam-6304	76	37	>	>	PUNCT
ejpam-6304	76	38	0	0	PUNCT
ejpam-6304	77	1	and	and	CCONJ
ejpam-6304	77	2	0	0	NUM
ejpam-6304	77	3	<	<	X
ejpam-6304	77	4	δ	δ	X
ejpam-6304	77	5	<	<	X
ejpam-6304	77	6	1	1	NUM
ejpam-6304	77	7	there	there	ADV
ejpam-6304	77	8	exist	exist	VERB
ejpam-6304	77	9	γ	γ	NOUN
ejpam-6304	77	10	=	=	SYM
ejpam-6304	77	11	γ(δ	γ(δ	PROPN
ejpam-6304	77	12	,	,	PUNCT
ejpam-6304	77	13	ϵ	ϵ	NOUN
ejpam-6304	77	14	)	)	PUNCT
ejpam-6304	77	15	such	such	ADJ
ejpam-6304	77	16	that	that	PRON
ejpam-6304	77	17	for	for	ADP
ejpam-6304	77	18	all	all	DET
ejpam-6304	77	19	ϖ	ϖ	NOUN
ejpam-6304	77	20	∈	∈	PROPN
ejpam-6304	77	21	f	f	NOUN
ejpam-6304	77	22	,	,	PUNCT
ejpam-6304	77	23	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	77	24	−ϖ0	−ϖ0	PROPN
ejpam-6304	77	25	,	,	PUNCT
ejpam-6304	77	26	γ	γ	NOUN
ejpam-6304	77	27	)	)	PUNCT
ejpam-6304	77	28	>	>	X
ejpam-6304	77	29	1−	1−	NUM
ejpam-6304	77	30	α	α	PROPN
ejpam-6304	77	31	⇒	⇒	NOUN
ejpam-6304	77	32	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	77	33	)	)	PUNCT
ejpam-6304	77	34	,	,	PUNCT
ejpam-6304	77	35	γ	γ	X
ejpam-6304	77	36	)	)	PUNCT
ejpam-6304	77	37	>	>	X
ejpam-6304	77	38	1−	1−	NUM
ejpam-6304	77	39	δ	δ	NOUN
ejpam-6304	77	40	pandiselvi	pandiselvi	VERB
ejpam-6304	77	41	.	.	PUNCT
ejpam-6304	78	1	m	m	PROPN
ejpam-6304	78	2	,	,	PUNCT
ejpam-6304	78	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	78	4	.	.	PUNCT
ejpam-6304	79	1	m	m	PROPN
ejpam-6304	79	2	andmohammad	andmohammad	PROPN
ejpam-6304	79	3	akram	akram	PROPN
ejpam-6304	79	4	/	/	PUNCT
ejpam-6304	79	5	eur	eur	PROPN
ejpam-6304	79	6	.	.	PUNCT
ejpam-6304	80	1	j.	j.	PROPN
ejpam-6304	80	2	pure	pure	PROPN
ejpam-6304	80	3	appl	appl	PROPN
ejpam-6304	80	4	.	.	PROPN
ejpam-6304	80	5	math	math	PROPN
ejpam-6304	80	6	,	,	PUNCT
ejpam-6304	80	7	18	18	NUM
ejpam-6304	80	8	(	(	PUNCT
ejpam-6304	80	9	3	3	NUM
ejpam-6304	80	10	)	)	PUNCT
ejpam-6304	80	11	(	(	PUNCT
ejpam-6304	80	12	2025	2025	NUM
ejpam-6304	80	13	)	)	PUNCT
ejpam-6304	80	14	,	,	PUNCT
ejpam-6304	80	15	6304	6304	NUM
ejpam-6304	80	16	4	4	NUM
ejpam-6304	80	17	of	of	ADP
ejpam-6304	80	18	15	15	NUM
ejpam-6304	80	19	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	80	20	−ϖ0	−ϖ0	NOUN
ejpam-6304	80	21	,	,	PUNCT
ejpam-6304	80	22	γ	γ	NOUN
ejpam-6304	80	23	)	)	PUNCT
ejpam-6304	80	24	<	<	X
ejpam-6304	80	25	α	α	PROPN
ejpam-6304	80	26	⇒	⇒	PROPN
ejpam-6304	80	27	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	80	28	)	)	PUNCT
ejpam-6304	80	29	,	,	PUNCT
ejpam-6304	80	30	γ	γ	X
ejpam-6304	80	31	)	)	PUNCT
ejpam-6304	80	32	<	<	X
ejpam-6304	80	33	δ	δ	PROPN
ejpam-6304	80	34	and	and	CCONJ
ejpam-6304	80	35	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	80	36	−ϖ0	−ϖ0	NOUN
ejpam-6304	80	37	,	,	PUNCT
ejpam-6304	80	38	γ	γ	NOUN
ejpam-6304	80	39	)	)	PUNCT
ejpam-6304	80	40	<	<	X
ejpam-6304	80	41	α	α	PROPN
ejpam-6304	80	42	⇒	⇒	NOUN
ejpam-6304	80	43	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	80	44	)	)	PUNCT
ejpam-6304	80	45	,	,	PUNCT
ejpam-6304	80	46	γ	γ	X
ejpam-6304	80	47	)	)	PUNCT
ejpam-6304	80	48	<	<	X
ejpam-6304	80	49	δ	δ	PROPN
ejpam-6304	80	50	.	.	PUNCT
ejpam-6304	80	51	definition	definition	NOUN
ejpam-6304	80	52	5	5	NUM
ejpam-6304	80	53	.	.	PUNCT
ejpam-6304	81	1	let	let	VERB
ejpam-6304	81	2	(	(	PUNCT
ejpam-6304	81	3	f	f	X
ejpam-6304	81	4	,	,	PUNCT
ejpam-6304	81	5	η1	η1	NOUN
ejpam-6304	81	6	,	,	PUNCT
ejpam-6304	81	7	ρ1	ρ1	NOUN
ejpam-6304	81	8	,	,	PUNCT
ejpam-6304	81	9	ς1	ς1	NOUN
ejpam-6304	81	10	)	)	PUNCT
ejpam-6304	81	11	and	and	CCONJ
ejpam-6304	81	12	(	(	PUNCT
ejpam-6304	81	13	g	g	NOUN
ejpam-6304	81	14	,	,	PUNCT
ejpam-6304	81	15	η2	η2	NOUN
ejpam-6304	81	16	,	,	PUNCT
ejpam-6304	81	17	ρ2	ρ2	NOUN
ejpam-6304	81	18	,	,	PUNCT
ejpam-6304	81	19	ς2	ς2	PROPN
ejpam-6304	81	20	)	)	PUNCT
ejpam-6304	81	21	be	be	VERB
ejpam-6304	81	22	npnls	npnls	NOUN
ejpam-6304	81	23	.	.	PUNCT
ejpam-6304	82	1	a	a	DET
ejpam-6304	82	2	mapping	mapping	NOUN
ejpam-6304	82	3	υ	υ	NOUN
ejpam-6304	82	4	:	:	PUNCT
ejpam-6304	82	5	(	(	PUNCT
ejpam-6304	82	6	f	f	X
ejpam-6304	82	7	,	,	PUNCT
ejpam-6304	82	8	η1	η1	NOUN
ejpam-6304	82	9	,	,	PUNCT
ejpam-6304	82	10	ρ1	ρ1	NOUN
ejpam-6304	82	11	,	,	PUNCT
ejpam-6304	82	12	ς1	ς1	NOUN
ejpam-6304	82	13	)	)	PUNCT
ejpam-6304	82	14	→	→	SYM
ejpam-6304	82	15	(	(	PUNCT
ejpam-6304	82	16	g	g	NOUN
ejpam-6304	82	17	,	,	PUNCT
ejpam-6304	82	18	η2	η2	NOUN
ejpam-6304	82	19	,	,	PUNCT
ejpam-6304	82	20	ρ2	ρ2	NOUN
ejpam-6304	82	21	,	,	PUNCT
ejpam-6304	82	22	ς2	ς2	PROPN
ejpam-6304	82	23	)	)	PUNCT
ejpam-6304	82	24	is	be	AUX
ejpam-6304	82	25	referred	refer	VERB
ejpam-6304	82	26	as	as	ADP
ejpam-6304	82	27	sequentially	sequentially	ADV
ejpam-6304	82	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	82	29	continuous	continuous	ADJ
ejpam-6304	82	30	at	at	ADP
ejpam-6304	82	31	ϖ0	ϖ0	NOUN
ejpam-6304	82	32	if	if	SCONJ
ejpam-6304	82	33	for	for	ADP
ejpam-6304	82	34	any	any	DET
ejpam-6304	82	35	sequence	sequence	NOUN
ejpam-6304	82	36	{	{	PUNCT
ejpam-6304	82	37	ϖn	ϖn	NOUN
ejpam-6304	82	38	}	}	PUNCT
ejpam-6304	82	39	,	,	PUNCT
ejpam-6304	82	40	ϖn	ϖn	ADP
ejpam-6304	82	41	∈	∈	PROPN
ejpam-6304	82	42	f	f	PROPN
ejpam-6304	82	43	and	and	CCONJ
ejpam-6304	82	44	φ	φ	PROPN
ejpam-6304	82	45	>	>	X
ejpam-6304	82	46	0	0	PROPN
ejpam-6304	82	47	,	,	PUNCT
ejpam-6304	82	48	lim	lim	PROPN
ejpam-6304	82	49	φ→∞	φ→∞	NUM
ejpam-6304	82	50	η1(ϖn	η1(ϖn	PROPN
ejpam-6304	82	51	−ϖ0	−ϖ0	PROPN
ejpam-6304	82	52	,	,	PUNCT
ejpam-6304	82	53	φ	φ	NUM
ejpam-6304	82	54	)	)	PUNCT
ejpam-6304	82	55	=	=	SYM
ejpam-6304	82	56	1	1	NUM
ejpam-6304	82	57	⇒	⇒	NOUN
ejpam-6304	82	58	lim	lim	PROPN
ejpam-6304	82	59	φ→∞	φ→∞	NUM
ejpam-6304	82	60	η2(υ(ϖn)−υ(ϖ0	η2(υ(ϖn)−υ(ϖ0	PROPN
ejpam-6304	82	61	)	)	PUNCT
ejpam-6304	82	62	,	,	PUNCT
ejpam-6304	82	63	φ	φ	NUM
ejpam-6304	82	64	)	)	PUNCT
ejpam-6304	82	65	=	=	SYM
ejpam-6304	82	66	1	1	NUM
ejpam-6304	82	67	,	,	PUNCT
ejpam-6304	82	68	lim	lim	PROPN
ejpam-6304	82	69	φ→∞	φ→∞	NUM
ejpam-6304	82	70	ρ1(ϖn	ρ1(ϖn	PROPN
ejpam-6304	82	71	−ϖ0	−ϖ0	NOUN
ejpam-6304	82	72	,	,	PUNCT
ejpam-6304	82	73	φ	φ	NUM
ejpam-6304	82	74	)	)	PUNCT
ejpam-6304	82	75	=	=	SYM
ejpam-6304	82	76	0	0	NUM
ejpam-6304	82	77	⇒	⇒	PROPN
ejpam-6304	82	78	lim	lim	PROPN
ejpam-6304	82	79	φ→∞	φ→∞	X
ejpam-6304	82	80	ρ2(υ(ϖn)−υ(ϖ0	ρ2(υ(ϖn)−υ(ϖ0	PROPN
ejpam-6304	82	81	)	)	PUNCT
ejpam-6304	82	82	,	,	PUNCT
ejpam-6304	82	83	φ	φ	NUM
ejpam-6304	82	84	)	)	PUNCT
ejpam-6304	82	85	=	=	SYM
ejpam-6304	82	86	0	0	NUM
ejpam-6304	82	87	and	and	CCONJ
ejpam-6304	82	88	lim	lim	PROPN
ejpam-6304	82	89	φ→∞	φ→∞	VERB
ejpam-6304	82	90	ς1(ϖn	ς1(ϖn	PROPN
ejpam-6304	82	91	−ϖ0	−ϖ0	PROPN
ejpam-6304	82	92	,	,	PUNCT
ejpam-6304	82	93	φ	φ	NUM
ejpam-6304	82	94	)	)	PUNCT
ejpam-6304	82	95	=	=	SYM
ejpam-6304	82	96	0	0	NUM
ejpam-6304	82	97	⇒	⇒	PROPN
ejpam-6304	82	98	lim	lim	PROPN
ejpam-6304	82	99	φ→∞	φ→∞	NUM
ejpam-6304	82	100	ς2(υ(ϖn)−υ(ϖ0	ς2(υ(ϖn)−υ(ϖ0	NOUN
ejpam-6304	82	101	)	)	PUNCT
ejpam-6304	82	102	,	,	PUNCT
ejpam-6304	82	103	φ	φ	NOUN
ejpam-6304	82	104	)	)	PUNCT
ejpam-6304	83	1	=	=	SYM
ejpam-6304	83	2	0	0	X
ejpam-6304	83	3	.	.	PUNCT
ejpam-6304	83	4	theorem	theorem	NOUN
ejpam-6304	83	5	4	4	NUM
ejpam-6304	83	6	.	.	PUNCT
ejpam-6304	84	1	if	if	SCONJ
ejpam-6304	84	2	a	a	DET
ejpam-6304	84	3	linear	linear	ADJ
ejpam-6304	84	4	operator	operator	NOUN
ejpam-6304	84	5	υ	υ	NOUN
ejpam-6304	84	6	:	:	PUNCT
ejpam-6304	84	7	(	(	PUNCT
ejpam-6304	84	8	f	f	X
ejpam-6304	84	9	,	,	PUNCT
ejpam-6304	84	10	η1	η1	NOUN
ejpam-6304	84	11	,	,	PUNCT
ejpam-6304	84	12	ρ1	ρ1	NOUN
ejpam-6304	84	13	,	,	PUNCT
ejpam-6304	84	14	ς1	ς1	NOUN
ejpam-6304	84	15	)	)	PUNCT
ejpam-6304	84	16	→	→	SYM
ejpam-6304	84	17	(	(	PUNCT
ejpam-6304	84	18	g	g	NOUN
ejpam-6304	84	19	,	,	PUNCT
ejpam-6304	84	20	η2	η2	NOUN
ejpam-6304	84	21	,	,	PUNCT
ejpam-6304	84	22	ρ2	ρ2	NOUN
ejpam-6304	84	23	,	,	PUNCT
ejpam-6304	84	24	ς2	ς2	PROPN
ejpam-6304	84	25	)	)	PUNCT
ejpam-6304	84	26	is	be	AUX
ejpam-6304	84	27	sequentially	sequentially	ADV
ejpam-6304	84	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	84	29	continuous	continuous	ADJ
ejpam-6304	84	30	at	at	ADP
ejpam-6304	84	31	ϖ0	ϖ0	NOUN
ejpam-6304	84	32	∈	∈	NOUN
ejpam-6304	85	1	f	f	NOUN
ejpam-6304	86	1	then	then	ADV
ejpam-6304	86	2	it	it	PRON
ejpam-6304	86	3	is	be	AUX
ejpam-6304	86	4	sequentially	sequentially	ADV
ejpam-6304	86	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	86	6	continuous	continuous	ADJ
ejpam-6304	86	7	on	on	ADP
ejpam-6304	86	8	f	f	PROPN
ejpam-6304	86	9	,	,	PUNCT
ejpam-6304	86	10	where	where	SCONJ
ejpam-6304	86	11	(	(	PUNCT
ejpam-6304	86	12	f	f	X
ejpam-6304	86	13	,	,	PUNCT
ejpam-6304	86	14	η1	η1	NOUN
ejpam-6304	86	15	,	,	PUNCT
ejpam-6304	86	16	ρ1	ρ1	NOUN
ejpam-6304	86	17	,	,	PUNCT
ejpam-6304	86	18	ς1	ς1	NOUN
ejpam-6304	86	19	)	)	PUNCT
ejpam-6304	86	20	and	and	CCONJ
ejpam-6304	86	21	(	(	PUNCT
ejpam-6304	86	22	g	g	NOUN
ejpam-6304	86	23	,	,	PUNCT
ejpam-6304	86	24	η2	η2	NOUN
ejpam-6304	86	25	,	,	PUNCT
ejpam-6304	86	26	ρ2	ρ2	NOUN
ejpam-6304	86	27	,	,	PUNCT
ejpam-6304	86	28	ς2	ς2	PROPN
ejpam-6304	86	29	)	)	PUNCT
ejpam-6304	86	30	are	be	AUX
ejpam-6304	86	31	npnls	npnls	NOUN
ejpam-6304	86	32	.	.	PUNCT
ejpam-6304	87	1	proof	proof	NOUN
ejpam-6304	87	2	.	.	PUNCT
ejpam-6304	88	1	let	let	VERB
ejpam-6304	88	2	{	{	PUNCT
ejpam-6304	88	3	ϖn	ϖn	AUX
ejpam-6304	88	4	}	}	PUNCT
ejpam-6304	88	5	be	be	AUX
ejpam-6304	88	6	a	a	DET
ejpam-6304	88	7	sequence	sequence	NOUN
ejpam-6304	88	8	in	in	ADP
ejpam-6304	88	9	f	f	PROPN
ejpam-6304	88	10	and	and	CCONJ
ejpam-6304	88	11	ϖn	ϖn	PROPN
ejpam-6304	88	12	→	→	PUNCT
ejpam-6304	88	13	ϖ.	ϖ.	NOUN
ejpam-6304	88	14	then	then	ADV
ejpam-6304	88	15	for	for	ADP
ejpam-6304	88	16	all	all	DET
ejpam-6304	88	17	φ	φ	PROPN
ejpam-6304	88	18	>	>	X
ejpam-6304	88	19	0	0	PROPN
ejpam-6304	88	20	,	,	PUNCT
ejpam-6304	88	21	lim	lim	PROPN
ejpam-6304	88	22	φ→∞	φ→∞	NUM
ejpam-6304	88	23	η1(ϖn	η1(ϖn	PROPN
ejpam-6304	88	24	−ϖ,φ	−ϖ,φ	PROPN
ejpam-6304	88	25	)	)	PUNCT
ejpam-6304	88	26	=	=	SYM
ejpam-6304	89	1	1	1	NUM
ejpam-6304	89	2	,	,	PUNCT
ejpam-6304	89	3	lim	lim	NOUN
ejpam-6304	89	4	φ→∞	φ→∞	VERB
ejpam-6304	89	5	ρ1(ϖn	ρ1(ϖn	PROPN
ejpam-6304	89	6	−ϖ,φ	−ϖ,φ	PROPN
ejpam-6304	89	7	)	)	PUNCT
ejpam-6304	89	8	=	=	SYM
ejpam-6304	89	9	0	0	NUM
ejpam-6304	89	10	and	and	CCONJ
ejpam-6304	89	11	lim	lim	PROPN
ejpam-6304	89	12	φ→∞	φ→∞	VERB
ejpam-6304	89	13	ς1(ϖn	ς1(ϖn	PROPN
ejpam-6304	89	14	−ϖ,φ	−ϖ,φ	PROPN
ejpam-6304	89	15	)	)	PUNCT
ejpam-6304	90	1	=	=	SYM
ejpam-6304	90	2	0	0	X
ejpam-6304	90	3	.	.	PUNCT
ejpam-6304	91	1	therefore	therefore	ADV
ejpam-6304	91	2	,	,	PUNCT
ejpam-6304	91	3	lim	lim	PROPN
ejpam-6304	91	4	φ→∞	φ→∞	NUM
ejpam-6304	91	5	η1((ϖn	η1((ϖn	PROPN
ejpam-6304	91	6	−ϖ	−ϖ	NOUN
ejpam-6304	91	7	+	+	PROPN
ejpam-6304	91	8	ϖ0)−ϖ0	ϖ0)−ϖ0	NOUN
ejpam-6304	91	9	,	,	PUNCT
ejpam-6304	91	10	φ	φ	NUM
ejpam-6304	91	11	)	)	PUNCT
ejpam-6304	91	12	=	=	SYM
ejpam-6304	91	13	1	1	NUM
ejpam-6304	91	14	,	,	PUNCT
ejpam-6304	91	15	lim	lim	PROPN
ejpam-6304	91	16	φ→∞	φ→∞	NUM
ejpam-6304	91	17	ρ1((ϖn	ρ1((ϖn	PROPN
ejpam-6304	91	18	−ϖ	−ϖ	NOUN
ejpam-6304	91	19	+	+	PROPN
ejpam-6304	91	20	ϖ0)−ϖ0	ϖ0)−ϖ0	NOUN
ejpam-6304	91	21	,	,	PUNCT
ejpam-6304	91	22	φ	φ	NUM
ejpam-6304	91	23	)	)	PUNCT
ejpam-6304	91	24	=	=	SYM
ejpam-6304	91	25	0	0	NUM
ejpam-6304	91	26	and	and	CCONJ
ejpam-6304	91	27	lim	lim	PROPN
ejpam-6304	91	28	φ→∞	φ→∞	VERB
ejpam-6304	91	29	ς1((ϖn	ς1((ϖn	NUM
ejpam-6304	91	30	−ϖ	−ϖ	NOUN
ejpam-6304	91	31	+	+	PROPN
ejpam-6304	91	32	ϖ0)−ϖ0	ϖ0)−ϖ0	NOUN
ejpam-6304	91	33	,	,	PUNCT
ejpam-6304	91	34	φ	φ	NUM
ejpam-6304	91	35	)	)	PUNCT
ejpam-6304	91	36	=	=	SYM
ejpam-6304	92	1	0	0	X
ejpam-6304	92	2	.	.	PUNCT
ejpam-6304	93	1	since	since	SCONJ
ejpam-6304	93	2	υ	υ	PROPN
ejpam-6304	93	3	is	be	AUX
ejpam-6304	93	4	sequentially	sequentially	ADV
ejpam-6304	93	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	93	6	continuous	continuous	ADJ
ejpam-6304	93	7	at	at	ADP
ejpam-6304	93	8	ϖ0	ϖ0	NOUN
ejpam-6304	93	9	,	,	PUNCT
ejpam-6304	93	10	for	for	ADP
ejpam-6304	93	11	all	all	DET
ejpam-6304	93	12	φ	φ	PROPN
ejpam-6304	93	13	>	>	X
ejpam-6304	93	14	0	0	NUM
ejpam-6304	94	1	we	we	PRON
ejpam-6304	94	2	have	have	VERB
ejpam-6304	94	3	lim	lim	PROPN
ejpam-6304	94	4	φ→∞	φ→∞	NUM
ejpam-6304	94	5	η1(υ(ϖn	η1(υ(ϖn	ADV
ejpam-6304	95	1	−ϖ	−ϖ	NOUN
ejpam-6304	95	2	+	+	NOUN
ejpam-6304	95	3	ϖ0)−υ(ϖ0	ϖ0)−υ(ϖ0	NOUN
ejpam-6304	95	4	)	)	PUNCT
ejpam-6304	95	5	,	,	PUNCT
ejpam-6304	95	6	φ	φ	X
ejpam-6304	95	7	)	)	PUNCT
ejpam-6304	95	8	=	=	SYM
ejpam-6304	95	9	1	1	NUM
ejpam-6304	95	10	,	,	PUNCT
ejpam-6304	95	11	lim	lim	PROPN
ejpam-6304	95	12	φ→∞	φ→∞	NUM
ejpam-6304	95	13	ρ1(υ(ϖn	ρ1(υ(ϖn	PUNCT
ejpam-6304	95	14	−ϖ	−ϖ	NOUN
ejpam-6304	95	15	+	+	ADJ
ejpam-6304	95	16	ϖ0)−υ(ϖ0	ϖ0)−υ(ϖ0	NOUN
ejpam-6304	95	17	)	)	PUNCT
ejpam-6304	95	18	,	,	PUNCT
ejpam-6304	95	19	φ	φ	X
ejpam-6304	95	20	)	)	PUNCT
ejpam-6304	95	21	=	=	SYM
ejpam-6304	95	22	0	0	NUM
ejpam-6304	95	23	and	and	CCONJ
ejpam-6304	95	24	lim	lim	PROPN
ejpam-6304	95	25	φ→∞	φ→∞	NUM
ejpam-6304	95	26	ς1(υ(ϖn	ς1(υ(ϖn	PRON
ejpam-6304	95	27	−ϖ	−ϖ	NOUN
ejpam-6304	95	28	+	+	ADJ
ejpam-6304	95	29	ϖ0)−υ(ϖ0	ϖ0)−υ(ϖ0	NOUN
ejpam-6304	95	30	)	)	PUNCT
ejpam-6304	95	31	,	,	PUNCT
ejpam-6304	95	32	φ	φ	X
ejpam-6304	95	33	)	)	PUNCT
ejpam-6304	95	34	=	=	SYM
ejpam-6304	95	35	0	0	NUM
ejpam-6304	95	36	⇒	⇒	PROPN
ejpam-6304	95	37	lim	lim	PROPN
ejpam-6304	95	38	φ→∞	φ→∞	X
ejpam-6304	95	39	η1(υ(ϖn)−υ(ϖ	η1(υ(ϖn)−υ(ϖ	NOUN
ejpam-6304	95	40	)	)	PUNCT
ejpam-6304	95	41	+	+	CCONJ
ejpam-6304	96	1	υ(ϖ0)−υ(ϖ0	υ(ϖ0)−υ(ϖ0	NOUN
ejpam-6304	96	2	)	)	PUNCT
ejpam-6304	96	3	,	,	PUNCT
ejpam-6304	96	4	φ	φ	NUM
ejpam-6304	96	5	)	)	PUNCT
ejpam-6304	96	6	=	=	SYM
ejpam-6304	96	7	1	1	NUM
ejpam-6304	96	8	,	,	PUNCT
ejpam-6304	96	9	lim	lim	PROPN
ejpam-6304	96	10	φ→∞	φ→∞	NUM
ejpam-6304	96	11	ρ1(υ(ϖn)−υ(ϖ	ρ1(υ(ϖn)−υ(ϖ	NOUN
ejpam-6304	96	12	)	)	PUNCT
ejpam-6304	96	13	+	+	CCONJ
ejpam-6304	96	14	υ(ϖ0)−υ(ϖ0	υ(ϖ0)−υ(ϖ0	NOUN
ejpam-6304	96	15	)	)	PUNCT
ejpam-6304	96	16	,	,	PUNCT
ejpam-6304	96	17	φ	φ	NUM
ejpam-6304	96	18	)	)	PUNCT
ejpam-6304	96	19	=	=	SYM
ejpam-6304	96	20	0	0	NUM
ejpam-6304	96	21	and	and	CCONJ
ejpam-6304	96	22	lim	lim	PROPN
ejpam-6304	96	23	φ→∞	φ→∞	NUM
ejpam-6304	96	24	ς1(υ(ϖn)−υ(ϖ	ς1(υ(ϖn)−υ(ϖ	PUNCT
ejpam-6304	96	25	)	)	PUNCT
ejpam-6304	96	26	+	+	CCONJ
ejpam-6304	96	27	υ(ϖ0)−υ(ϖ0	υ(ϖ0)−υ(ϖ0	NOUN
ejpam-6304	96	28	)	)	PUNCT
ejpam-6304	96	29	,	,	PUNCT
ejpam-6304	96	30	φ	φ	NOUN
ejpam-6304	96	31	)	)	PUNCT
ejpam-6304	96	32	=	=	SYM
ejpam-6304	96	33	0	0	NUM
ejpam-6304	96	34	,	,	PUNCT
ejpam-6304	96	35	since	since	SCONJ
ejpam-6304	96	36	υ	υ	PROPN
ejpam-6304	96	37	is	be	AUX
ejpam-6304	96	38	linear	linear	ADJ
ejpam-6304	96	39	.	.	PUNCT
ejpam-6304	97	1	lim	lim	PROPN
ejpam-6304	97	2	φ→∞	φ→∞	NUM
ejpam-6304	97	3	η1(υ(ϖn)−υ(ϖ	η1(υ(ϖn)−υ(ϖ	PROPN
ejpam-6304	97	4	)	)	PUNCT
ejpam-6304	97	5	,	,	PUNCT
ejpam-6304	97	6	φ	φ	NUM
ejpam-6304	97	7	)	)	PUNCT
ejpam-6304	97	8	=	=	SYM
ejpam-6304	97	9	1	1	NUM
ejpam-6304	97	10	,	,	PUNCT
ejpam-6304	97	11	lim	lim	PROPN
ejpam-6304	97	12	φ→∞	φ→∞	NUM
ejpam-6304	97	13	ρ1(υ(ϖn)−υ(ϖ	ρ1(υ(ϖn)−υ(ϖ	NOUN
ejpam-6304	97	14	)	)	PUNCT
ejpam-6304	97	15	,	,	PUNCT
ejpam-6304	97	16	φ	φ	NUM
ejpam-6304	97	17	)	)	PUNCT
ejpam-6304	97	18	=	=	SYM
ejpam-6304	97	19	0	0	NUM
ejpam-6304	97	20	and	and	CCONJ
ejpam-6304	97	21	lim	lim	PROPN
ejpam-6304	97	22	φ→∞	φ→∞	NUM
ejpam-6304	97	23	ς1(υ(ϖn)−υ(ϖ	ς1(υ(ϖn)−υ(ϖ	PROPN
ejpam-6304	97	24	)	)	PUNCT
ejpam-6304	97	25	,	,	PUNCT
ejpam-6304	97	26	φ	φ	NUM
ejpam-6304	97	27	)	)	PUNCT
ejpam-6304	97	28	=	=	SYM
ejpam-6304	97	29	0	0	X
ejpam-6304	97	30	.	.	PUNCT
ejpam-6304	98	1	since	since	SCONJ
ejpam-6304	98	2	ϖ	ϖ	PROPN
ejpam-6304	98	3	∈	∈	PROPN
ejpam-6304	98	4	f	f	PROPN
ejpam-6304	98	5	was	be	AUX
ejpam-6304	98	6	chosen	choose	VERB
ejpam-6304	98	7	arbitrarily	arbitrarily	ADV
ejpam-6304	98	8	,	,	PUNCT
ejpam-6304	98	9	it	it	PRON
ejpam-6304	98	10	follows	follow	VERB
ejpam-6304	98	11	that	that	SCONJ
ejpam-6304	98	12	υ	υ	PROPN
ejpam-6304	98	13	is	be	AUX
ejpam-6304	98	14	sequentially	sequentially	ADV
ejpam-6304	98	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	98	16	continuous	continuous	ADJ
ejpam-6304	98	17	on	on	ADP
ejpam-6304	98	18	f.	f.	PROPN
ejpam-6304	98	19	pandiselvi	pandiselvi	PROPN
ejpam-6304	98	20	.	.	PUNCT
ejpam-6304	99	1	m	m	PROPN
ejpam-6304	99	2	,	,	PUNCT
ejpam-6304	99	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	99	4	.	.	PUNCT
ejpam-6304	100	1	m	m	PROPN
ejpam-6304	100	2	andmohammad	andmohammad	PROPN
ejpam-6304	100	3	akram	akram	PROPN
ejpam-6304	100	4	/	/	PUNCT
ejpam-6304	100	5	eur	eur	PROPN
ejpam-6304	100	6	.	.	PUNCT
ejpam-6304	101	1	j.	j.	PROPN
ejpam-6304	101	2	pure	pure	PROPN
ejpam-6304	101	3	appl	appl	PROPN
ejpam-6304	101	4	.	.	PROPN
ejpam-6304	101	5	math	math	PROPN
ejpam-6304	101	6	,	,	PUNCT
ejpam-6304	101	7	18	18	NUM
ejpam-6304	101	8	(	(	PUNCT
ejpam-6304	101	9	3	3	NUM
ejpam-6304	101	10	)	)	PUNCT
ejpam-6304	101	11	(	(	PUNCT
ejpam-6304	101	12	2025	2025	NUM
ejpam-6304	101	13	)	)	PUNCT
ejpam-6304	101	14	,	,	PUNCT
ejpam-6304	101	15	6304	6304	NUM
ejpam-6304	101	16	5	5	NUM
ejpam-6304	101	17	of	of	ADP
ejpam-6304	101	18	15	15	NUM
ejpam-6304	101	19	theorem	theorem	NOUN
ejpam-6304	101	20	5	5	NUM
ejpam-6304	101	21	.	.	PUNCT
ejpam-6304	102	1	if	if	SCONJ
ejpam-6304	102	2	a	a	DET
ejpam-6304	102	3	linear	linear	ADJ
ejpam-6304	102	4	operator	operator	NOUN
ejpam-6304	102	5	υ	υ	NOUN
ejpam-6304	102	6	:	:	PUNCT
ejpam-6304	102	7	(	(	PUNCT
ejpam-6304	102	8	f	f	X
ejpam-6304	102	9	,	,	PUNCT
ejpam-6304	102	10	η1	η1	NOUN
ejpam-6304	102	11	,	,	PUNCT
ejpam-6304	102	12	ρ1	ρ1	NOUN
ejpam-6304	102	13	,	,	PUNCT
ejpam-6304	102	14	ς1	ς1	NOUN
ejpam-6304	102	15	)	)	PUNCT
ejpam-6304	102	16	→	→	SYM
ejpam-6304	102	17	(	(	PUNCT
ejpam-6304	102	18	g	g	NOUN
ejpam-6304	102	19	,	,	PUNCT
ejpam-6304	102	20	η2	η2	NOUN
ejpam-6304	102	21	,	,	PUNCT
ejpam-6304	102	22	ρ2	ρ2	NOUN
ejpam-6304	102	23	,	,	PUNCT
ejpam-6304	102	24	ς2	ς2	PROPN
ejpam-6304	102	25	)	)	PUNCT
ejpam-6304	102	26	is	be	AUX
ejpam-6304	102	27	sequentially	sequentially	ADV
ejpam-6304	102	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	102	29	continuous	continuous	ADJ
ejpam-6304	102	30	at	at	ADP
ejpam-6304	102	31	ϖ0	ϖ0	NOUN
ejpam-6304	102	32	∈	∈	NOUN
ejpam-6304	103	1	f	f	NOUN
ejpam-6304	104	1	then	then	ADV
ejpam-6304	104	2	it	it	PRON
ejpam-6304	104	3	is	be	AUX
ejpam-6304	104	4	sequentially	sequentially	ADV
ejpam-6304	104	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	104	6	continuous	continuous	ADJ
ejpam-6304	104	7	if	if	SCONJ
ejpam-6304	105	1	and	and	CCONJ
ejpam-6304	105	2	only	only	ADV
ejpam-6304	105	3	if	if	SCONJ
ejpam-6304	105	4	it	it	PRON
ejpam-6304	105	5	is	be	AUX
ejpam-6304	105	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	105	7	continuous	continuous	ADJ
ejpam-6304	105	8	,	,	PUNCT
ejpam-6304	105	9	where	where	SCONJ
ejpam-6304	105	10	(	(	PUNCT
ejpam-6304	105	11	f	f	X
ejpam-6304	105	12	,	,	PUNCT
ejpam-6304	105	13	η1	η1	NOUN
ejpam-6304	105	14	,	,	PUNCT
ejpam-6304	105	15	ρ1	ρ1	NOUN
ejpam-6304	105	16	,	,	PUNCT
ejpam-6304	105	17	ς1	ς1	NOUN
ejpam-6304	105	18	)	)	PUNCT
ejpam-6304	105	19	and	and	CCONJ
ejpam-6304	105	20	(	(	PUNCT
ejpam-6304	105	21	g	g	NOUN
ejpam-6304	105	22	,	,	PUNCT
ejpam-6304	105	23	η2	η2	NOUN
ejpam-6304	105	24	,	,	PUNCT
ejpam-6304	105	25	ρ2	ρ2	NOUN
ejpam-6304	105	26	,	,	PUNCT
ejpam-6304	105	27	ς2	ς2	PROPN
ejpam-6304	105	28	)	)	PUNCT
ejpam-6304	105	29	are	be	AUX
ejpam-6304	105	30	npnls	npnls	NOUN
ejpam-6304	105	31	.	.	PUNCT
ejpam-6304	106	1	proof	proof	NOUN
ejpam-6304	106	2	.	.	PUNCT
ejpam-6304	107	1	suppose	suppose	VERB
ejpam-6304	107	2	υ	υ	PRON
ejpam-6304	107	3	be	be	AUX
ejpam-6304	107	4	neutrosophic	neutrosophic	ADJ
ejpam-6304	107	5	continuous	continuous	ADJ
ejpam-6304	107	6	at	at	ADP
ejpam-6304	107	7	ϖ0	ϖ0	NOUN
ejpam-6304	107	8	∈	∈	PROPN
ejpam-6304	107	9	f	f	X
ejpam-6304	107	10	,	,	PUNCT
ejpam-6304	107	11	{	{	PUNCT
ejpam-6304	107	12	ϖn	ϖn	AUX
ejpam-6304	107	13	}	}	PUNCT
ejpam-6304	107	14	be	be	AUX
ejpam-6304	107	15	a	a	DET
ejpam-6304	107	16	sequence	sequence	NOUN
ejpam-6304	107	17	in	in	ADP
ejpam-6304	107	18	f	f	PROPN
ejpam-6304	107	19	and	and	CCONJ
ejpam-6304	107	20	ϖn	ϖn	NOUN
ejpam-6304	107	21	→	→	SYM
ejpam-6304	107	22	ϖ0	ϖ0	NOUN
ejpam-6304	107	23	.	.	PUNCT
ejpam-6304	108	1	then	then	ADV
ejpam-6304	108	2	for	for	ADP
ejpam-6304	108	3	any	any	DET
ejpam-6304	108	4	given	give	VERB
ejpam-6304	108	5	ϵ	ϵ	PROPN
ejpam-6304	108	6	>	>	X
ejpam-6304	108	7	0	0	NUM
ejpam-6304	108	8	,	,	PUNCT
ejpam-6304	108	9	0	0	NUM
ejpam-6304	108	10	<	<	X
ejpam-6304	108	11	δ	δ	X
ejpam-6304	108	12	<	<	X
ejpam-6304	108	13	1	1	NUM
ejpam-6304	108	14	there	there	ADV
ejpam-6304	108	15	exist	exist	VERB
ejpam-6304	108	16	γ	γ	NOUN
ejpam-6304	108	17	=	=	SYM
ejpam-6304	108	18	γ(δ	γ(δ	PROPN
ejpam-6304	108	19	,	,	PUNCT
ejpam-6304	108	20	ϵ	ϵ	NOUN
ejpam-6304	108	21	)	)	PUNCT
ejpam-6304	108	22	and	and	CCONJ
ejpam-6304	108	23	α	α	X
ejpam-6304	108	24	=	=	SYM
ejpam-6304	108	25	α(δ	α(δ	PROPN
ejpam-6304	108	26	,	,	PUNCT
ejpam-6304	108	27	ϵ	ϵ	X
ejpam-6304	108	28	)	)	PUNCT
ejpam-6304	108	29	such	such	ADJ
ejpam-6304	108	30	that	that	PRON
ejpam-6304	108	31	for	for	ADP
ejpam-6304	108	32	all	all	DET
ejpam-6304	108	33	ϖ	ϖ	NOUN
ejpam-6304	108	34	∈	∈	PROPN
ejpam-6304	108	35	f	f	NOUN
ejpam-6304	108	36	,	,	PUNCT
ejpam-6304	108	37	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	108	38	−ϖ0	−ϖ0	PROPN
ejpam-6304	108	39	,	,	PUNCT
ejpam-6304	108	40	γ	γ	NOUN
ejpam-6304	108	41	)	)	PUNCT
ejpam-6304	108	42	>	>	X
ejpam-6304	108	43	1−	1−	NUM
ejpam-6304	108	44	α	α	PROPN
ejpam-6304	108	45	⇒	⇒	NOUN
ejpam-6304	108	46	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	108	47	)	)	PUNCT
ejpam-6304	108	48	,	,	PUNCT
ejpam-6304	108	49	γ	γ	X
ejpam-6304	108	50	)	)	PUNCT
ejpam-6304	108	51	>	>	X
ejpam-6304	108	52	1−	1−	NUM
ejpam-6304	108	53	δ	δ	PROPN
ejpam-6304	108	54	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	108	55	−ϖ0	−ϖ0	NOUN
ejpam-6304	108	56	,	,	PUNCT
ejpam-6304	108	57	γ	γ	NOUN
ejpam-6304	108	58	)	)	PUNCT
ejpam-6304	108	59	<	<	X
ejpam-6304	108	60	α	α	PROPN
ejpam-6304	108	61	⇒	⇒	PROPN
ejpam-6304	108	62	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	108	63	)	)	PUNCT
ejpam-6304	108	64	,	,	PUNCT
ejpam-6304	108	65	γ	γ	X
ejpam-6304	108	66	)	)	PUNCT
ejpam-6304	108	67	<	<	X
ejpam-6304	108	68	δ	δ	PROPN
ejpam-6304	108	69	and	and	CCONJ
ejpam-6304	108	70	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	108	71	−ϖ0	−ϖ0	NOUN
ejpam-6304	108	72	,	,	PUNCT
ejpam-6304	108	73	γ	γ	NOUN
ejpam-6304	108	74	)	)	PUNCT
ejpam-6304	108	75	<	<	X
ejpam-6304	108	76	α	α	PROPN
ejpam-6304	108	77	⇒	⇒	NOUN
ejpam-6304	108	78	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	108	79	)	)	PUNCT
ejpam-6304	108	80	,	,	PUNCT
ejpam-6304	108	81	γ	γ	X
ejpam-6304	108	82	)	)	PUNCT
ejpam-6304	108	83	<	<	X
ejpam-6304	108	84	δ	δ	PROPN
ejpam-6304	108	85	.	.	PUNCT
ejpam-6304	109	1	since	since	SCONJ
ejpam-6304	109	2	{	{	PUNCT
ejpam-6304	109	3	ϖn	ϖn	NOUN
ejpam-6304	109	4	}	}	PUNCT
ejpam-6304	109	5	converges	converge	NOUN
ejpam-6304	109	6	to	to	ADP
ejpam-6304	109	7	ϖ0	ϖ0	NOUN
ejpam-6304	109	8	there	there	ADV
ejpam-6304	109	9	exists	exist	VERB
ejpam-6304	109	10	n0	n0	PROPN
ejpam-6304	109	11	∈	∈	PROPN
ejpam-6304	109	12	n	n	PRON
ejpam-6304	109	13	such	such	ADJ
ejpam-6304	109	14	that	that	PRON
ejpam-6304	109	15	for	for	ADP
ejpam-6304	109	16	all	all	DET
ejpam-6304	109	17	n0	n0	NUM
ejpam-6304	109	18	≥	≥	X
ejpam-6304	109	19	n	n	CCONJ
ejpam-6304	109	20	,	,	PUNCT
ejpam-6304	109	21	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	109	22	−ϖ0	−ϖ0	PROPN
ejpam-6304	109	23	,	,	PUNCT
ejpam-6304	109	24	γ	γ	NOUN
ejpam-6304	109	25	)	)	PUNCT
ejpam-6304	109	26	>	>	X
ejpam-6304	109	27	1−	1−	NUM
ejpam-6304	109	28	α	α	NOUN
ejpam-6304	109	29	,	,	PUNCT
ejpam-6304	109	30	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	109	31	−ϖ0	−ϖ0	NOUN
ejpam-6304	109	32	,	,	PUNCT
ejpam-6304	109	33	γ	γ	NOUN
ejpam-6304	109	34	)	)	PUNCT
ejpam-6304	109	35	<	<	X
ejpam-6304	109	36	α	α	PROPN
ejpam-6304	109	37	and	and	CCONJ
ejpam-6304	109	38	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	109	39	−ϖ0	−ϖ0	NOUN
ejpam-6304	109	40	,	,	PUNCT
ejpam-6304	109	41	γ	γ	NOUN
ejpam-6304	109	42	)	)	PUNCT
ejpam-6304	109	43	<	<	X
ejpam-6304	109	44	α	α	PROPN
ejpam-6304	110	1	and	and	CCONJ
ejpam-6304	110	2	since	since	SCONJ
ejpam-6304	110	3	υ	υ	NOUN
ejpam-6304	110	4	is	be	AUX
ejpam-6304	110	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	110	6	continuous	continuous	ADJ
ejpam-6304	110	7	at	at	ADP
ejpam-6304	110	8	ϖ0	ϖ0	NOUN
ejpam-6304	110	9	∈	∈	NOUN
ejpam-6304	110	10	f	f	X
ejpam-6304	110	11	,	,	PUNCT
ejpam-6304	110	12	we	we	PRON
ejpam-6304	110	13	have	have	VERB
ejpam-6304	110	14	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	110	15	)	)	PUNCT
ejpam-6304	110	16	,	,	PUNCT
ejpam-6304	110	17	ϵ	ϵ	X
ejpam-6304	110	18	)	)	PUNCT
ejpam-6304	110	19	>	>	X
ejpam-6304	111	1	1−	1−	NUM
ejpam-6304	111	2	δ	δ	PROPN
ejpam-6304	111	3	,	,	PUNCT
ejpam-6304	111	4	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	111	5	)	)	PUNCT
ejpam-6304	111	6	,	,	PUNCT
ejpam-6304	111	7	ϵ	ϵ	X
ejpam-6304	111	8	)	)	PUNCT
ejpam-6304	111	9	<	<	X
ejpam-6304	111	10	δ	δ	PROPN
ejpam-6304	111	11	and	and	CCONJ
ejpam-6304	111	12	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	111	13	)	)	PUNCT
ejpam-6304	111	14	,	,	PUNCT
ejpam-6304	111	15	ϵ	ϵ	X
ejpam-6304	111	16	)	)	PUNCT
ejpam-6304	111	17	<	<	X
ejpam-6304	111	18	δ	δ	PROPN
ejpam-6304	111	19	.	.	PUNCT
ejpam-6304	112	1	hence	hence	ADV
ejpam-6304	112	2	,	,	PUNCT
ejpam-6304	112	3	υ(ϖn	υ(ϖn	PROPN
ejpam-6304	112	4	)	)	PUNCT
ejpam-6304	112	5	→	→	SYM
ejpam-6304	112	6	υ(ϖ0	υ(ϖ0	NOUN
ejpam-6304	112	7	)	)	PUNCT
ejpam-6304	112	8	.	.	PUNCT
ejpam-6304	113	1	conversely	conversely	ADV
ejpam-6304	113	2	,	,	PUNCT
ejpam-6304	113	3	suppose	suppose	VERB
ejpam-6304	113	4	υ	υ	PRON
ejpam-6304	113	5	be	be	AUX
ejpam-6304	113	6	not	not	PART
ejpam-6304	113	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	113	8	continuous	continuous	ADJ
ejpam-6304	113	9	at	at	ADP
ejpam-6304	113	10	ϖ0	ϖ0	NOUN
ejpam-6304	113	11	∈	∈	PROPN
ejpam-6304	113	12	f.	f.	NOUN
ejpam-6304	113	13	then	then	ADV
ejpam-6304	113	14	there	there	PRON
ejpam-6304	113	15	exist	exist	VERB
ejpam-6304	113	16	w	w	PROPN
ejpam-6304	113	17	∈	∈	PROPN
ejpam-6304	113	18	f	f	NOUN
ejpam-6304	113	19	such	such	ADJ
ejpam-6304	113	20	that	that	PRON
ejpam-6304	113	21	for	for	ADP
ejpam-6304	113	22	any	any	DET
ejpam-6304	113	23	given	give	VERB
ejpam-6304	113	24	ϵ	ϵ	PROPN
ejpam-6304	113	25	>	>	X
ejpam-6304	113	26	0	0	NUM
ejpam-6304	113	27	,	,	PUNCT
ejpam-6304	113	28	0	0	NUM
ejpam-6304	113	29	<	<	X
ejpam-6304	113	30	δ	δ	X
ejpam-6304	113	31	<	<	X
ejpam-6304	113	32	1	1	NUM
ejpam-6304	113	33	there	there	ADV
ejpam-6304	113	34	exist	exist	VERB
ejpam-6304	113	35	γ	γ	X
ejpam-6304	113	36	>	>	X
ejpam-6304	113	37	0	0	PROPN
ejpam-6304	114	1	and	and	CCONJ
ejpam-6304	114	2	α	α	PRON
ejpam-6304	114	3	∈	∈	PROPN
ejpam-6304	114	4	(	(	PUNCT
ejpam-6304	114	5	0	0	NUM
ejpam-6304	114	6	,	,	PUNCT
ejpam-6304	114	7	1	1	NUM
ejpam-6304	114	8	)	)	PUNCT
ejpam-6304	114	9	,	,	PUNCT
ejpam-6304	114	10	η1(w−ϖ0	η1(w−ϖ0	PROPN
ejpam-6304	114	11	,	,	PUNCT
ejpam-6304	114	12	γ	γ	NOUN
ejpam-6304	114	13	)	)	PUNCT
ejpam-6304	114	14	>	>	X
ejpam-6304	114	15	1−	1−	NUM
ejpam-6304	115	1	α	α	PROPN
ejpam-6304	115	2	⇒	⇒	NOUN
ejpam-6304	115	3	η2(υ(w)−υ(ϖ0	η2(υ(w)−υ(ϖ0	PROPN
ejpam-6304	115	4	)	)	PUNCT
ejpam-6304	115	5	,	,	PUNCT
ejpam-6304	115	6	γ	γ	X
ejpam-6304	115	7	)	)	PUNCT
ejpam-6304	115	8	>	>	X
ejpam-6304	115	9	1−	1−	NUM
ejpam-6304	115	10	δ	δ	PROPN
ejpam-6304	115	11	,	,	PUNCT
ejpam-6304	115	12	ρ1(w−ϖ0	ρ1(w−ϖ0	PROPN
ejpam-6304	115	13	,	,	PUNCT
ejpam-6304	115	14	γ	γ	NOUN
ejpam-6304	115	15	)	)	PUNCT
ejpam-6304	115	16	<	<	X
ejpam-6304	115	17	α	α	PROPN
ejpam-6304	115	18	⇒	⇒	NOUN
ejpam-6304	115	19	ρ2(υ(w)−υ(ϖ0	ρ2(υ(w)−υ(ϖ0	PROPN
ejpam-6304	115	20	)	)	PUNCT
ejpam-6304	115	21	,	,	PUNCT
ejpam-6304	115	22	γ	γ	X
ejpam-6304	115	23	)	)	PUNCT
ejpam-6304	115	24	<	<	X
ejpam-6304	115	25	δ	δ	PROPN
ejpam-6304	115	26	and	and	CCONJ
ejpam-6304	115	27	ς1(w−ϖ0	ς1(w−ϖ0	PROPN
ejpam-6304	115	28	,	,	PUNCT
ejpam-6304	115	29	γ	γ	NOUN
ejpam-6304	115	30	)	)	PUNCT
ejpam-6304	115	31	<	<	X
ejpam-6304	115	32	α	α	PROPN
ejpam-6304	115	33	⇒	⇒	NOUN
ejpam-6304	115	34	ς2(υ(w)−υ(ϖ0	ς2(υ(w)−υ(ϖ0	NOUN
ejpam-6304	115	35	)	)	PUNCT
ejpam-6304	115	36	,	,	PUNCT
ejpam-6304	115	37	γ	γ	X
ejpam-6304	115	38	)	)	PUNCT
ejpam-6304	115	39	<	<	X
ejpam-6304	115	40	δ	δ	PROPN
ejpam-6304	115	41	.	.	PUNCT
ejpam-6304	116	1	hence	hence	ADV
ejpam-6304	116	2	for	for	ADP
ejpam-6304	116	3	γ	γ	X
ejpam-6304	116	4	=	=	SYM
ejpam-6304	116	5	α	α	NOUN
ejpam-6304	116	6	=	=	SYM
ejpam-6304	116	7	1	1	NUM
ejpam-6304	116	8	n+1	n+1	NUM
ejpam-6304	116	9	there	there	PRON
ejpam-6304	116	10	exist	exist	VERB
ejpam-6304	116	11	wn	wn	NOUN
ejpam-6304	116	12	for	for	ADP
ejpam-6304	116	13	n	n	NOUN
ejpam-6304	116	14	=	=	SYM
ejpam-6304	116	15	1	1	NUM
ejpam-6304	116	16	,	,	PUNCT
ejpam-6304	116	17	2	2	NUM
ejpam-6304	116	18	,	,	PUNCT
ejpam-6304	116	19	.	.	PUNCT
ejpam-6304	116	20	.	.	PUNCT
ejpam-6304	116	21	.	.	PUNCT
ejpam-6304	117	1	,	,	PUNCT
ejpam-6304	117	2	such	such	ADJ
ejpam-6304	117	3	that	that	SCONJ
ejpam-6304	117	4	η1(wn	η1(wn	PROPN
ejpam-6304	117	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	117	6	,	,	PUNCT
ejpam-6304	117	7	γ	γ	NOUN
ejpam-6304	117	8	)	)	PUNCT
ejpam-6304	117	9	=	=	SYM
ejpam-6304	117	10	η1	η1	NOUN
ejpam-6304	117	11	(	(	PUNCT
ejpam-6304	117	12	wn	wn	PROPN
ejpam-6304	117	13	−ϖ0	−ϖ0	PROPN
ejpam-6304	117	14	,	,	PUNCT
ejpam-6304	117	15	1	1	NUM
ejpam-6304	117	16	n+	n+	NUM
ejpam-6304	117	17	1	1	NUM
ejpam-6304	117	18	)	)	PUNCT
ejpam-6304	117	19	>	>	X
ejpam-6304	117	20	1−	1−	NUM
ejpam-6304	117	21	1	1	NUM
ejpam-6304	117	22	n+	n+	SYM
ejpam-6304	117	23	1	1	NUM
ejpam-6304	117	24	⇒	⇒	NOUN
ejpam-6304	117	25	η2(υ(wn)−υ(ϖ0	η2(υ(wn)−υ(ϖ0	NOUN
ejpam-6304	117	26	)	)	PUNCT
ejpam-6304	117	27	,	,	PUNCT
ejpam-6304	117	28	ϵ	ϵ	X
ejpam-6304	117	29	)	)	PUNCT
ejpam-6304	117	30	≤	≤	NOUN
ejpam-6304	117	31	1−	1−	NUM
ejpam-6304	117	32	δ	δ	PROPN
ejpam-6304	117	33	,	,	PUNCT
ejpam-6304	117	34	ρ1(wn	ρ1(wn	PROPN
ejpam-6304	117	35	−ϖ0	−ϖ0	NOUN
ejpam-6304	117	36	,	,	PUNCT
ejpam-6304	117	37	γ	γ	NOUN
ejpam-6304	117	38	)	)	PUNCT
ejpam-6304	117	39	=	=	SYM
ejpam-6304	117	40	ρ1	ρ1	NOUN
ejpam-6304	117	41	(	(	PUNCT
ejpam-6304	117	42	wn	wn	PROPN
ejpam-6304	117	43	−ϖ0	−ϖ0	PROPN
ejpam-6304	117	44	,	,	PUNCT
ejpam-6304	117	45	1	1	NUM
ejpam-6304	117	46	n+	n+	NUM
ejpam-6304	117	47	1	1	NUM
ejpam-6304	117	48	)	)	PUNCT
ejpam-6304	117	49	<	<	X
ejpam-6304	117	50	1	1	NUM
ejpam-6304	117	51	n+	n+	SYM
ejpam-6304	117	52	1	1	NUM
ejpam-6304	117	53	⇒	⇒	NOUN
ejpam-6304	117	54	ρ2(υ(wn)−υ(ϖ0	ρ2(υ(wn)−υ(ϖ0	NOUN
ejpam-6304	117	55	)	)	PUNCT
ejpam-6304	117	56	,	,	PUNCT
ejpam-6304	117	57	ϵ	ϵ	X
ejpam-6304	117	58	)	)	PUNCT
ejpam-6304	117	59	≥	≥	NOUN
ejpam-6304	117	60	δ	δ	PROPN
ejpam-6304	117	61	and	and	CCONJ
ejpam-6304	117	62	ς1(wn	ς1(wn	PROPN
ejpam-6304	117	63	−ϖ0	−ϖ0	NOUN
ejpam-6304	117	64	,	,	PUNCT
ejpam-6304	117	65	γ	γ	NOUN
ejpam-6304	117	66	)	)	PUNCT
ejpam-6304	117	67	=	=	SYM
ejpam-6304	117	68	ς1	ς1	NOUN
ejpam-6304	117	69	(	(	PUNCT
ejpam-6304	117	70	wn	wn	PROPN
ejpam-6304	117	71	−ϖ0	−ϖ0	PROPN
ejpam-6304	117	72	,	,	PUNCT
ejpam-6304	117	73	1	1	NUM
ejpam-6304	117	74	n+	n+	NUM
ejpam-6304	117	75	1	1	NUM
ejpam-6304	117	76	)	)	PUNCT
ejpam-6304	117	77	<	<	X
ejpam-6304	117	78	1	1	NUM
ejpam-6304	117	79	n+	n+	SYM
ejpam-6304	117	80	1	1	NUM
ejpam-6304	117	81	⇒	⇒	NOUN
ejpam-6304	117	82	ς2(υ(wn)−υ(ϖ0	ς2(υ(wn)−υ(ϖ0	NUM
ejpam-6304	117	83	)	)	PUNCT
ejpam-6304	117	84	,	,	PUNCT
ejpam-6304	117	85	ϵ	ϵ	X
ejpam-6304	117	86	)	)	PUNCT
ejpam-6304	117	87	≥	≥	PROPN
ejpam-6304	117	88	δ	δ	PROPN
ejpam-6304	117	89	.	.	PUNCT
ejpam-6304	118	1	therefore	therefore	ADV
ejpam-6304	118	2	,	,	PUNCT
ejpam-6304	118	3	lim	lim	PROPN
ejpam-6304	118	4	n→∞	n→∞	X
ejpam-6304	118	5	η1(wn	η1(wn	PROPN
ejpam-6304	118	6	−ϖ0	−ϖ0	PROPN
ejpam-6304	118	7	,	,	PUNCT
ejpam-6304	118	8	γ	γ	NOUN
ejpam-6304	118	9	)	)	PUNCT
ejpam-6304	118	10	=	=	SYM
ejpam-6304	118	11	1	1	NUM
ejpam-6304	118	12	⇒	⇒	NOUN
ejpam-6304	118	13	lim	lim	PROPN
ejpam-6304	118	14	n→∞	n→∞	NUM
ejpam-6304	118	15	η2(υ(w)n	η2(υ(w)n	PROPN
ejpam-6304	118	16	−υ(ϖ0	−υ(ϖ0	PROPN
ejpam-6304	118	17	)	)	PUNCT
ejpam-6304	118	18	,	,	PUNCT
ejpam-6304	118	19	ϵ	ϵ	X
ejpam-6304	118	20	)	)	PUNCT
ejpam-6304	118	21	̸=	̸=	PROPN
ejpam-6304	118	22	1	1	NUM
ejpam-6304	118	23	,	,	PUNCT
ejpam-6304	118	24	lim	lim	PROPN
ejpam-6304	118	25	n→∞	n→∞	X
ejpam-6304	118	26	ρ1(wn	ρ1(wn	NUM
ejpam-6304	118	27	−ϖ0	−ϖ0	NOUN
ejpam-6304	118	28	,	,	PUNCT
ejpam-6304	118	29	γ	γ	NOUN
ejpam-6304	118	30	)	)	PUNCT
ejpam-6304	118	31	=	=	SYM
ejpam-6304	118	32	0	0	NUM
ejpam-6304	118	33	⇒	⇒	PROPN
ejpam-6304	118	34	lim	lim	PROPN
ejpam-6304	118	35	n→∞	n→∞	NUM
ejpam-6304	118	36	ρ2(υ(w)n	ρ2(υ(w)n	X
ejpam-6304	118	37	−υ(ϖ0	−υ(ϖ0	PROPN
ejpam-6304	118	38	)	)	PUNCT
ejpam-6304	118	39	,	,	PUNCT
ejpam-6304	118	40	ϵ	ϵ	X
ejpam-6304	118	41	)	)	PUNCT
ejpam-6304	118	42	̸=	̸=	PROPN
ejpam-6304	118	43	0and	0and	PROPN
ejpam-6304	118	44	lim	lim	PROPN
ejpam-6304	118	45	n→∞	n→∞	PROPN
ejpam-6304	118	46	ς1(wn	ς1(wn	PROPN
ejpam-6304	118	47	−ϖ0	−ϖ0	NOUN
ejpam-6304	118	48	,	,	PUNCT
ejpam-6304	118	49	γ	γ	NOUN
ejpam-6304	118	50	)	)	PUNCT
ejpam-6304	118	51	=	=	SYM
ejpam-6304	118	52	0	0	NUM
ejpam-6304	118	53	⇒	⇒	PROPN
ejpam-6304	118	54	lim	lim	PROPN
ejpam-6304	118	55	n→∞	n→∞	NUM
ejpam-6304	118	56	ς2(υ(w)n	ς2(υ(w)n	PROPN
ejpam-6304	118	57	−υ(ϖ0	−υ(ϖ0	PROPN
ejpam-6304	118	58	)	)	PUNCT
ejpam-6304	118	59	,	,	PUNCT
ejpam-6304	118	60	ϵ	ϵ	X
ejpam-6304	118	61	)	)	PUNCT
ejpam-6304	118	62	̸=	̸=	PROPN
ejpam-6304	118	63	0	0	NUM
ejpam-6304	118	64	.	.	PUNCT
ejpam-6304	119	1	hence	hence	ADV
ejpam-6304	119	2	υ	υ	PROPN
ejpam-6304	119	3	is	be	AUX
ejpam-6304	119	4	not	not	PART
ejpam-6304	119	5	sequentially	sequentially	ADV
ejpam-6304	119	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	119	7	continuous	continuous	ADJ
ejpam-6304	119	8	at	at	ADP
ejpam-6304	119	9	ϖ0	ϖ0	NOUN
ejpam-6304	119	10	.	.	PUNCT
ejpam-6304	120	1	pandiselvi	pandiselvi	ADJ
ejpam-6304	120	2	.	.	PUNCT
ejpam-6304	121	1	m	m	PROPN
ejpam-6304	121	2	,	,	PUNCT
ejpam-6304	121	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	121	4	.	.	PUNCT
ejpam-6304	122	1	m	m	PROPN
ejpam-6304	122	2	andmohammad	andmohammad	PROPN
ejpam-6304	122	3	akram	akram	PROPN
ejpam-6304	122	4	/	/	PUNCT
ejpam-6304	122	5	eur	eur	PROPN
ejpam-6304	122	6	.	.	PUNCT
ejpam-6304	123	1	j.	j.	PROPN
ejpam-6304	123	2	pure	pure	PROPN
ejpam-6304	123	3	appl	appl	PROPN
ejpam-6304	123	4	.	.	PROPN
ejpam-6304	123	5	math	math	PROPN
ejpam-6304	123	6	,	,	PUNCT
ejpam-6304	123	7	18	18	NUM
ejpam-6304	123	8	(	(	PUNCT
ejpam-6304	123	9	3	3	NUM
ejpam-6304	123	10	)	)	PUNCT
ejpam-6304	123	11	(	(	PUNCT
ejpam-6304	123	12	2025	2025	NUM
ejpam-6304	123	13	)	)	PUNCT
ejpam-6304	123	14	,	,	PUNCT
ejpam-6304	123	15	6304	6304	NUM
ejpam-6304	123	16	6	6	NUM
ejpam-6304	123	17	of	of	ADP
ejpam-6304	123	18	15	15	NUM
ejpam-6304	123	19	definition	definition	NOUN
ejpam-6304	123	20	6	6	NUM
ejpam-6304	123	21	.	.	PUNCT
ejpam-6304	124	1	let	let	VERB
ejpam-6304	124	2	(	(	PUNCT
ejpam-6304	124	3	f	f	X
ejpam-6304	124	4	,	,	PUNCT
ejpam-6304	124	5	η1	η1	NOUN
ejpam-6304	124	6	,	,	PUNCT
ejpam-6304	124	7	ρ1	ρ1	NOUN
ejpam-6304	124	8	,	,	PUNCT
ejpam-6304	124	9	ς1	ς1	NOUN
ejpam-6304	124	10	)	)	PUNCT
ejpam-6304	124	11	and	and	CCONJ
ejpam-6304	124	12	(	(	PUNCT
ejpam-6304	124	13	g	g	NOUN
ejpam-6304	124	14	,	,	PUNCT
ejpam-6304	124	15	η2	η2	NOUN
ejpam-6304	124	16	,	,	PUNCT
ejpam-6304	124	17	ρ2	ρ2	NOUN
ejpam-6304	124	18	,	,	PUNCT
ejpam-6304	124	19	ς2	ς2	PROPN
ejpam-6304	124	20	)	)	PUNCT
ejpam-6304	124	21	be	be	VERB
ejpam-6304	124	22	npnls	npnls	NOUN
ejpam-6304	124	23	.	.	PUNCT
ejpam-6304	125	1	we	we	PRON
ejpam-6304	125	2	say	say	VERB
ejpam-6304	125	3	that	that	SCONJ
ejpam-6304	125	4	the	the	DET
ejpam-6304	125	5	mapping	mapping	NOUN
ejpam-6304	125	6	υ	υ	NOUN
ejpam-6304	125	7	:	:	PUNCT
ejpam-6304	125	8	(	(	PUNCT
ejpam-6304	125	9	f	f	X
ejpam-6304	125	10	,	,	PUNCT
ejpam-6304	125	11	η1	η1	NOUN
ejpam-6304	125	12	,	,	PUNCT
ejpam-6304	125	13	ρ1	ρ1	NOUN
ejpam-6304	125	14	,	,	PUNCT
ejpam-6304	125	15	ς1	ς1	NOUN
ejpam-6304	125	16	)	)	PUNCT
ejpam-6304	125	17	→	→	SYM
ejpam-6304	125	18	(	(	PUNCT
ejpam-6304	125	19	g	g	NOUN
ejpam-6304	125	20	,	,	PUNCT
ejpam-6304	125	21	η2	η2	NOUN
ejpam-6304	125	22	,	,	PUNCT
ejpam-6304	125	23	ρ2	ρ2	NOUN
ejpam-6304	125	24	,	,	PUNCT
ejpam-6304	125	25	ς2	ς2	PROPN
ejpam-6304	125	26	)	)	PUNCT
ejpam-6304	125	27	is	be	AUX
ejpam-6304	125	28	strongly	strongly	ADV
ejpam-6304	125	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	125	30	continuous	continuous	ADJ
ejpam-6304	125	31	at	at	ADP
ejpam-6304	125	32	ϖ0	ϖ0	NOUN
ejpam-6304	125	33	if	if	SCONJ
ejpam-6304	125	34	,	,	PUNCT
ejpam-6304	125	35	for	for	ADP
ejpam-6304	125	36	each	each	DET
ejpam-6304	125	37	positive	positive	ADJ
ejpam-6304	125	38	real	real	ADJ
ejpam-6304	125	39	number	number	NOUN
ejpam-6304	125	40	ϵ	ϵ	NOUN
ejpam-6304	125	41	,	,	PUNCT
ejpam-6304	125	42	one	one	PRON
ejpam-6304	125	43	can	can	AUX
ejpam-6304	125	44	find	find	VERB
ejpam-6304	125	45	a	a	DET
ejpam-6304	125	46	δ	δ	NOUN
ejpam-6304	125	47	∈	∈	PROPN
ejpam-6304	125	48	(	(	PUNCT
ejpam-6304	125	49	0	0	NUM
ejpam-6304	125	50	,	,	PUNCT
ejpam-6304	125	51	1	1	NUM
ejpam-6304	125	52	)	)	PUNCT
ejpam-6304	125	53	such	such	ADJ
ejpam-6304	125	54	that	that	SCONJ
ejpam-6304	125	55	a	a	DET
ejpam-6304	125	56	certain	certain	ADJ
ejpam-6304	125	57	set	set	NOUN
ejpam-6304	125	58	of	of	ADP
ejpam-6304	125	59	conditions	condition	NOUN
ejpam-6304	125	60	is	be	AUX
ejpam-6304	125	61	satisfied	satisfied	ADJ
ejpam-6304	125	62	for	for	ADP
ejpam-6304	125	63	all	all	DET
ejpam-6304	125	64	elements	element	NOUN
ejpam-6304	125	65	ϖ	ϖ	INTJ
ejpam-6304	125	66	in	in	ADP
ejpam-6304	125	67	f.	f.	PROPN
ejpam-6304	125	68	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	125	69	)	)	PUNCT
ejpam-6304	125	70	,	,	PUNCT
ejpam-6304	125	71	ϵ	ϵ	X
ejpam-6304	125	72	)	)	PUNCT
ejpam-6304	125	73	≥	≥	NOUN
ejpam-6304	125	74	η1(ϖ	η1(ϖ	NUM
ejpam-6304	125	75	−ϖ0	−ϖ0	PROPN
ejpam-6304	125	76	,	,	PUNCT
ejpam-6304	125	77	γ	γ	NOUN
ejpam-6304	125	78	)	)	PUNCT
ejpam-6304	125	79	,	,	PUNCT
ejpam-6304	125	80	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	125	81	)	)	PUNCT
ejpam-6304	125	82	,	,	PUNCT
ejpam-6304	125	83	ϵ	ϵ	X
ejpam-6304	125	84	)	)	PUNCT
ejpam-6304	125	85	≤	≤	NOUN
ejpam-6304	125	86	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	125	87	−ϖ0	−ϖ0	NOUN
ejpam-6304	125	88	,	,	PUNCT
ejpam-6304	125	89	γ	γ	NOUN
ejpam-6304	125	90	)	)	PUNCT
ejpam-6304	125	91	and	and	CCONJ
ejpam-6304	125	92	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	125	93	)	)	PUNCT
ejpam-6304	125	94	,	,	PUNCT
ejpam-6304	125	95	ϵ	ϵ	X
ejpam-6304	125	96	)	)	PUNCT
ejpam-6304	125	97	≤	≤	NOUN
ejpam-6304	125	98	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	125	99	−ϖ0	−ϖ0	NOUN
ejpam-6304	125	100	,	,	PUNCT
ejpam-6304	125	101	γ	γ	NOUN
ejpam-6304	125	102	)	)	PUNCT
ejpam-6304	125	103	.	.	PUNCT
ejpam-6304	126	1	theorem	theorem	VERB
ejpam-6304	126	2	6	6	NUM
ejpam-6304	126	3	.	.	PUNCT
ejpam-6304	127	1	if	if	SCONJ
ejpam-6304	127	2	a	a	DET
ejpam-6304	127	3	linear	linear	ADJ
ejpam-6304	127	4	operator	operator	NOUN
ejpam-6304	127	5	υ	υ	NOUN
ejpam-6304	127	6	:	:	PUNCT
ejpam-6304	127	7	(	(	PUNCT
ejpam-6304	127	8	f	f	X
ejpam-6304	127	9	,	,	PUNCT
ejpam-6304	127	10	η1	η1	NOUN
ejpam-6304	127	11	,	,	PUNCT
ejpam-6304	127	12	ρ1	ρ1	NOUN
ejpam-6304	127	13	,	,	PUNCT
ejpam-6304	127	14	ς1	ς1	NOUN
ejpam-6304	127	15	)	)	PUNCT
ejpam-6304	127	16	→	→	SYM
ejpam-6304	127	17	(	(	PUNCT
ejpam-6304	127	18	g	g	NOUN
ejpam-6304	127	19	,	,	PUNCT
ejpam-6304	127	20	η2	η2	NOUN
ejpam-6304	127	21	,	,	PUNCT
ejpam-6304	127	22	ρ2	ρ2	NOUN
ejpam-6304	127	23	,	,	PUNCT
ejpam-6304	127	24	ς2	ς2	PROPN
ejpam-6304	127	25	)	)	PUNCT
ejpam-6304	127	26	is	be	AUX
ejpam-6304	127	27	strongly	strongly	ADV
ejpam-6304	127	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	127	29	continuous	continuous	ADJ
ejpam-6304	127	30	at	at	ADP
ejpam-6304	127	31	ϖ0	ϖ0	NOUN
ejpam-6304	127	32	∈	∈	NOUN
ejpam-6304	128	1	f	f	NOUN
ejpam-6304	128	2	then	then	ADV
ejpam-6304	128	3	it	it	PRON
ejpam-6304	128	4	is	be	AUX
ejpam-6304	128	5	strongly	strongly	ADV
ejpam-6304	128	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	128	7	continuous	continuous	ADJ
ejpam-6304	128	8	,	,	PUNCT
ejpam-6304	128	9	where	where	SCONJ
ejpam-6304	128	10	(	(	PUNCT
ejpam-6304	128	11	f	f	X
ejpam-6304	128	12	,	,	PUNCT
ejpam-6304	128	13	η1	η1	NOUN
ejpam-6304	128	14	,	,	PUNCT
ejpam-6304	128	15	ρ1	ρ1	NOUN
ejpam-6304	128	16	,	,	PUNCT
ejpam-6304	128	17	ς1	ς1	NOUN
ejpam-6304	128	18	)	)	PUNCT
ejpam-6304	128	19	and	and	CCONJ
ejpam-6304	128	20	(	(	PUNCT
ejpam-6304	128	21	g	g	NOUN
ejpam-6304	128	22	,	,	PUNCT
ejpam-6304	128	23	η2	η2	NOUN
ejpam-6304	128	24	,	,	PUNCT
ejpam-6304	128	25	ρ2	ρ2	NOUN
ejpam-6304	128	26	,	,	PUNCT
ejpam-6304	128	27	ς2	ς2	PROPN
ejpam-6304	128	28	)	)	PUNCT
ejpam-6304	128	29	are	be	AUX
ejpam-6304	128	30	npnls	npnls	NOUN
ejpam-6304	128	31	.	.	PUNCT
ejpam-6304	129	1	proof	proof	NOUN
ejpam-6304	129	2	.	.	PUNCT
ejpam-6304	130	1	given	give	VERB
ejpam-6304	130	2	that	that	SCONJ
ejpam-6304	130	3	υ	υ	PROPN
ejpam-6304	130	4	possesses	possess	VERB
ejpam-6304	130	5	strong	strong	ADJ
ejpam-6304	130	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	130	7	continuity	continuity	NOUN
ejpam-6304	130	8	at	at	ADP
ejpam-6304	130	9	the	the	DET
ejpam-6304	130	10	point	point	NOUN
ejpam-6304	130	11	ϖ0	ϖ0	NOUN
ejpam-6304	130	12	,	,	PUNCT
ejpam-6304	130	13	then	then	ADV
ejpam-6304	130	14	corresponding	correspond	VERB
ejpam-6304	130	15	to	to	ADP
ejpam-6304	130	16	each	each	PRON
ejpam-6304	130	17	ϵ	ϵ	X
ejpam-6304	130	18	>	>	X
ejpam-6304	130	19	0	0	NUM
ejpam-6304	130	20	,	,	PUNCT
ejpam-6304	130	21	there	there	PRON
ejpam-6304	130	22	exists	exist	VERB
ejpam-6304	130	23	a	a	DET
ejpam-6304	130	24	positive	positive	ADJ
ejpam-6304	130	25	number	number	NOUN
ejpam-6304	130	26	γ	γ	NOUN
ejpam-6304	130	27	such	such	ADJ
ejpam-6304	130	28	that	that	SCONJ
ejpam-6304	130	29	the	the	DET
ejpam-6304	130	30	condition	condition	NOUN
ejpam-6304	130	31	η2	η2	NOUN
ejpam-6304	130	32	(	(	PUNCT
ejpam-6304	130	33	υ(ϖ)−υ(ϖ0	υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	130	34	)	)	PUNCT
ejpam-6304	130	35	,	,	PUNCT
ejpam-6304	130	36	ϵ	ϵ	X
ejpam-6304	130	37	)	)	PUNCT
ejpam-6304	130	38	≥	≥	NOUN
ejpam-6304	130	39	η1	η1	NOUN
ejpam-6304	130	40	(	(	PUNCT
ejpam-6304	130	41	ϖ	ϖ	PROPN
ejpam-6304	130	42	−ϖ0	−ϖ0	PROPN
ejpam-6304	130	43	,	,	PUNCT
ejpam-6304	130	44	γ	γ	PROPN
ejpam-6304	130	45	)	)	PUNCT
ejpam-6304	130	46	is	be	AUX
ejpam-6304	130	47	satisfied	satisfied	ADJ
ejpam-6304	130	48	for	for	ADP
ejpam-6304	130	49	all	all	DET
ejpam-6304	130	50	ϖ	ϖ	PRON
ejpam-6304	130	51	∈	∈	PROPN
ejpam-6304	130	52	f	f	X
ejpam-6304	130	53	,	,	PUNCT
ejpam-6304	130	54	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	130	55	)	)	PUNCT
ejpam-6304	130	56	,	,	PUNCT
ejpam-6304	130	57	ϵ	ϵ	X
ejpam-6304	130	58	)	)	PUNCT
ejpam-6304	130	59	≤	≤	NOUN
ejpam-6304	130	60	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	130	61	−ϖ0	−ϖ0	NOUN
ejpam-6304	130	62	,	,	PUNCT
ejpam-6304	130	63	γ	γ	NOUN
ejpam-6304	130	64	)	)	PUNCT
ejpam-6304	130	65	and	and	CCONJ
ejpam-6304	130	66	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	130	67	)	)	PUNCT
ejpam-6304	130	68	,	,	PUNCT
ejpam-6304	130	69	ϵ	ϵ	X
ejpam-6304	130	70	)	)	PUNCT
ejpam-6304	130	71	≤	≤	NOUN
ejpam-6304	130	72	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	130	73	−ϖ0	−ϖ0	NOUN
ejpam-6304	130	74	,	,	PUNCT
ejpam-6304	130	75	γ	γ	NOUN
ejpam-6304	130	76	)	)	PUNCT
ejpam-6304	130	77	.	.	PUNCT
ejpam-6304	131	1	taking	take	VERB
ejpam-6304	131	2	w	w	PROPN
ejpam-6304	131	3	∈	∈	NOUN
ejpam-6304	132	1	f	f	NOUN
ejpam-6304	132	2	we	we	PRON
ejpam-6304	132	3	have	have	VERB
ejpam-6304	132	4	ϖ	ϖ	PRON
ejpam-6304	132	5	+	+	NOUN
ejpam-6304	132	6	ϖ0	ϖ0	NOUN
ejpam-6304	132	7	−w	−w	ADV
ejpam-6304	132	8	∈	∈	PROPN
ejpam-6304	132	9	f.	f.	PROPN
ejpam-6304	132	10	therefore	therefore	ADV
ejpam-6304	132	11	replacing	replace	VERB
ejpam-6304	132	12	ϖ	ϖ	PRON
ejpam-6304	132	13	by	by	ADP
ejpam-6304	132	14	ϖ	ϖ	X
ejpam-6304	132	15	+	+	NOUN
ejpam-6304	132	16	ϖ0	ϖ0	NOUN
ejpam-6304	132	17	−w	−w	ADV
ejpam-6304	132	18	.	.	PUNCT
ejpam-6304	133	1	we	we	PRON
ejpam-6304	133	2	have	have	VERB
ejpam-6304	133	3	,	,	PUNCT
ejpam-6304	133	4	η2(υ(ϖ	η2(υ(ϖ	X
ejpam-6304	133	5	+	+	ADJ
ejpam-6304	133	6	ϖ0	ϖ0	NOUN
ejpam-6304	133	7	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	133	8	)	)	PUNCT
ejpam-6304	133	9	,	,	PUNCT
ejpam-6304	133	10	ϵ	ϵ	X
ejpam-6304	133	11	)	)	PUNCT
ejpam-6304	133	12	≥	≥	NOUN
ejpam-6304	133	13	η1(ϖ	η1(ϖ	NUM
ejpam-6304	133	14	+	+	ADJ
ejpam-6304	133	15	ϖ0	ϖ0	NOUN
ejpam-6304	133	16	−w−ϖ0	−w−ϖ0	NOUN
ejpam-6304	133	17	,	,	PUNCT
ejpam-6304	133	18	γ	γ	NOUN
ejpam-6304	133	19	)	)	PUNCT
ejpam-6304	133	20	,	,	PUNCT
ejpam-6304	133	21	ρ2(υ(ϖ	ρ2(υ(ϖ	X
ejpam-6304	134	1	+	+	ADJ
ejpam-6304	134	2	ϖ0	ϖ0	NOUN
ejpam-6304	134	3	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	134	4	)	)	PUNCT
ejpam-6304	134	5	,	,	PUNCT
ejpam-6304	134	6	ϵ	ϵ	X
ejpam-6304	134	7	)	)	PUNCT
ejpam-6304	134	8	≤	≤	NOUN
ejpam-6304	134	9	ρ2(ϖ	ρ2(ϖ	PUNCT
ejpam-6304	135	1	+	+	NOUN
ejpam-6304	135	2	ϖ0	ϖ0	NOUN
ejpam-6304	135	3	−w−ϖ0	−w−ϖ0	NOUN
ejpam-6304	135	4	,	,	PUNCT
ejpam-6304	135	5	γ	γ	NOUN
ejpam-6304	135	6	)	)	PUNCT
ejpam-6304	135	7	and	and	CCONJ
ejpam-6304	135	8	ς2(υ(ϖ	ς2(υ(ϖ	X
ejpam-6304	136	1	+	+	ADJ
ejpam-6304	136	2	ϖ0	ϖ0	NOUN
ejpam-6304	136	3	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	136	4	)	)	PUNCT
ejpam-6304	136	5	,	,	PUNCT
ejpam-6304	136	6	ϵ	ϵ	X
ejpam-6304	136	7	)	)	PUNCT
ejpam-6304	136	8	≤	≤	NOUN
ejpam-6304	136	9	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	136	10	+	+	ADJ
ejpam-6304	136	11	ϖ0	ϖ0	NOUN
ejpam-6304	136	12	−w−ϖ0	−w−ϖ0	NOUN
ejpam-6304	136	13	,	,	PUNCT
ejpam-6304	136	14	γ	γ	NOUN
ejpam-6304	136	15	)	)	PUNCT
ejpam-6304	136	16	.	.	PUNCT
ejpam-6304	137	1	therefore	therefore	ADV
ejpam-6304	137	2	,	,	PUNCT
ejpam-6304	137	3	η2(υ(ϖ	η2(υ(ϖ	PROPN
ejpam-6304	137	4	)	)	PUNCT
ejpam-6304	138	1	+	+	SYM
ejpam-6304	138	2	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	138	3	)	)	PUNCT
ejpam-6304	138	4	)	)	PUNCT
ejpam-6304	138	5	,	,	PUNCT
ejpam-6304	138	6	ϵ	ϵ	X
ejpam-6304	138	7	)	)	PUNCT
ejpam-6304	138	8	≥	≥	NOUN
ejpam-6304	139	1	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	139	2	−w	−w	NOUN
ejpam-6304	139	3	,	,	PUNCT
ejpam-6304	139	4	γ	γ	PROPN
ejpam-6304	139	5	)	)	PUNCT
ejpam-6304	139	6	,	,	PUNCT
ejpam-6304	139	7	ρ2(υ(ϖ	ρ2(υ(ϖ	X
ejpam-6304	139	8	)	)	PUNCT
ejpam-6304	139	9	+	+	NUM
ejpam-6304	139	10	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	139	11	)	)	PUNCT
ejpam-6304	139	12	)	)	PUNCT
ejpam-6304	139	13	,	,	PUNCT
ejpam-6304	139	14	ϵ	ϵ	X
ejpam-6304	139	15	)	)	PUNCT
ejpam-6304	139	16	≤	≤	NOUN
ejpam-6304	139	17	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	139	18	−w	−w	NOUN
ejpam-6304	139	19	,	,	PUNCT
ejpam-6304	139	20	γ	γ	NOUN
ejpam-6304	139	21	)	)	PUNCT
ejpam-6304	139	22	and	and	CCONJ
ejpam-6304	139	23	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	139	24	)	)	PUNCT
ejpam-6304	139	25	+	+	NUM
ejpam-6304	139	26	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	139	27	)	)	PUNCT
ejpam-6304	139	28	)	)	PUNCT
ejpam-6304	139	29	,	,	PUNCT
ejpam-6304	139	30	ϵ	ϵ	X
ejpam-6304	139	31	)	)	PUNCT
ejpam-6304	139	32	≤	≤	NOUN
ejpam-6304	139	33	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	139	34	−w	−w	NOUN
ejpam-6304	139	35	,	,	PUNCT
ejpam-6304	139	36	γ	γ	NOUN
ejpam-6304	139	37	)	)	PUNCT
ejpam-6304	139	38	.	.	PUNCT
ejpam-6304	140	1	hence	hence	ADV
ejpam-6304	140	2	,	,	PUNCT
ejpam-6304	140	3	η2(υ(ϖ)−υ(w	η2(υ(ϖ)−υ(w	PROPN
ejpam-6304	140	4	)	)	PUNCT
ejpam-6304	140	5	,	,	PUNCT
ejpam-6304	140	6	ϵ	ϵ	X
ejpam-6304	140	7	)	)	PUNCT
ejpam-6304	140	8	≥	≥	NOUN
ejpam-6304	141	1	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	141	2	−w	−w	NOUN
ejpam-6304	141	3	,	,	PUNCT
ejpam-6304	141	4	γ	γ	PROPN
ejpam-6304	141	5	)	)	PUNCT
ejpam-6304	141	6	,	,	PUNCT
ejpam-6304	141	7	ρ2(υ(ϖ)−υ(w	ρ2(υ(ϖ)−υ(w	NOUN
ejpam-6304	141	8	)	)	PUNCT
ejpam-6304	141	9	)	)	PUNCT
ejpam-6304	141	10	,	,	PUNCT
ejpam-6304	141	11	ϵ	ϵ	X
ejpam-6304	141	12	)	)	PUNCT
ejpam-6304	141	13	≤	≤	NOUN
ejpam-6304	141	14	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	141	15	−w	−w	NOUN
ejpam-6304	141	16	,	,	PUNCT
ejpam-6304	141	17	γ	γ	NOUN
ejpam-6304	141	18	)	)	PUNCT
ejpam-6304	141	19	and	and	CCONJ
ejpam-6304	141	20	ς2(υ(ϖ)−υ(w	ς2(υ(ϖ)−υ(w	NOUN
ejpam-6304	141	21	)	)	PUNCT
ejpam-6304	141	22	)	)	PUNCT
ejpam-6304	141	23	,	,	PUNCT
ejpam-6304	141	24	ϵ	ϵ	X
ejpam-6304	141	25	)	)	PUNCT
ejpam-6304	141	26	≤	≤	NOUN
ejpam-6304	141	27	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	141	28	−w	−w	NOUN
ejpam-6304	141	29	,	,	PUNCT
ejpam-6304	141	30	γ	γ	NOUN
ejpam-6304	141	31	)	)	PUNCT
ejpam-6304	141	32	.	.	PUNCT
ejpam-6304	142	1	hence	hence	ADV
ejpam-6304	142	2	υ	υ	PROPN
ejpam-6304	142	3	is	be	AUX
ejpam-6304	142	4	strongly	strongly	ADV
ejpam-6304	142	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	142	6	continuous	continuous	ADJ
ejpam-6304	142	7	at	at	ADP
ejpam-6304	142	8	w.	w.	PROPN
ejpam-6304	142	9	since	since	SCONJ
ejpam-6304	142	10	w	w	PROPN
ejpam-6304	142	11	∈	∈	PROPN
ejpam-6304	142	12	f	f	NOUN
ejpam-6304	142	13	is	be	AUX
ejpam-6304	142	14	arbitrary	arbitrary	ADJ
ejpam-6304	142	15	,	,	PUNCT
ejpam-6304	142	16	υ	υ	PRON
ejpam-6304	142	17	is	be	AUX
ejpam-6304	142	18	strongly	strongly	ADV
ejpam-6304	142	19	neutrosophic	neutrosophic	ADJ
ejpam-6304	142	20	continuous	continuous	ADJ
ejpam-6304	142	21	on	on	ADP
ejpam-6304	142	22	f.	f.	PROPN
ejpam-6304	142	23	definition	definition	NOUN
ejpam-6304	142	24	7	7	NUM
ejpam-6304	142	25	.	.	PUNCT
ejpam-6304	143	1	let	let	VERB
ejpam-6304	143	2	(	(	PUNCT
ejpam-6304	143	3	f	f	X
ejpam-6304	143	4	,	,	PUNCT
ejpam-6304	143	5	η1	η1	NOUN
ejpam-6304	143	6	,	,	PUNCT
ejpam-6304	143	7	ρ1	ρ1	NOUN
ejpam-6304	143	8	,	,	PUNCT
ejpam-6304	143	9	ς1	ς1	NOUN
ejpam-6304	143	10	)	)	PUNCT
ejpam-6304	143	11	and	and	CCONJ
ejpam-6304	143	12	(	(	PUNCT
ejpam-6304	143	13	g	g	NOUN
ejpam-6304	143	14	,	,	PUNCT
ejpam-6304	143	15	η2	η2	NOUN
ejpam-6304	143	16	,	,	PUNCT
ejpam-6304	143	17	ρ2	ρ2	NOUN
ejpam-6304	143	18	,	,	PUNCT
ejpam-6304	143	19	ς2	ς2	PROPN
ejpam-6304	143	20	)	)	PUNCT
ejpam-6304	143	21	be	be	VERB
ejpam-6304	143	22	npnls	npnls	NOUN
ejpam-6304	143	23	.	.	PUNCT
ejpam-6304	144	1	a	a	DET
ejpam-6304	144	2	mapping	mapping	NOUN
ejpam-6304	144	3	υ	υ	NOUN
ejpam-6304	144	4	:	:	PUNCT
ejpam-6304	144	5	(	(	PUNCT
ejpam-6304	144	6	f	f	X
ejpam-6304	144	7	,	,	PUNCT
ejpam-6304	144	8	η1	η1	NOUN
ejpam-6304	144	9	,	,	PUNCT
ejpam-6304	144	10	ρ1	ρ1	NOUN
ejpam-6304	144	11	,	,	PUNCT
ejpam-6304	144	12	ς1	ς1	NOUN
ejpam-6304	144	13	)	)	PUNCT
ejpam-6304	144	14	→	→	SYM
ejpam-6304	144	15	(	(	PUNCT
ejpam-6304	144	16	g	g	NOUN
ejpam-6304	144	17	,	,	PUNCT
ejpam-6304	144	18	η2	η2	NOUN
ejpam-6304	144	19	,	,	PUNCT
ejpam-6304	144	20	ρ2	ρ2	NOUN
ejpam-6304	144	21	,	,	PUNCT
ejpam-6304	144	22	ς2	ς2	PROPN
ejpam-6304	144	23	)	)	PUNCT
ejpam-6304	144	24	is	be	AUX
ejpam-6304	144	25	referred	refer	VERB
ejpam-6304	144	26	as	as	ADP
ejpam-6304	144	27	weakly	weakly	ADJ
ejpam-6304	144	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	144	29	continuous	continuous	ADJ
ejpam-6304	144	30	at	at	ADP
ejpam-6304	144	31	ϖ0	ϖ0	NOUN
ejpam-6304	144	32	if	if	SCONJ
ejpam-6304	144	33	for	for	ADP
ejpam-6304	144	34	any	any	DET
ejpam-6304	144	35	given	give	VERB
ejpam-6304	144	36	ϵ	ϵ	PROPN
ejpam-6304	144	37	>	>	X
ejpam-6304	144	38	0	0	PUNCT
ejpam-6304	145	1	there	there	PRON
ejpam-6304	145	2	exists	exist	VERB
ejpam-6304	145	3	0	0	PUNCT
ejpam-6304	145	4	<	<	X
ejpam-6304	145	5	γ	γ	PROPN
ejpam-6304	145	6	such	such	ADJ
ejpam-6304	145	7	that	that	DET
ejpam-6304	145	8	for	for	ADP
ejpam-6304	145	9	all	all	DET
ejpam-6304	145	10	ϖ	ϖ	NOUN
ejpam-6304	145	11	∈	∈	PROPN
ejpam-6304	145	12	f	f	NOUN
ejpam-6304	145	13	,	,	PUNCT
ejpam-6304	145	14	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	145	15	−ϖ0	−ϖ0	PROPN
ejpam-6304	145	16	,	,	PUNCT
ejpam-6304	145	17	γ	γ	NOUN
ejpam-6304	145	18	)	)	PUNCT
ejpam-6304	145	19	≥	≥	NOUN
ejpam-6304	145	20	δ	δ	PROPN
ejpam-6304	145	21	⇒	⇒	ADJ
ejpam-6304	145	22	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	145	23	)	)	PUNCT
ejpam-6304	145	24	,	,	PUNCT
ejpam-6304	145	25	ϵ	ϵ	X
ejpam-6304	145	26	)	)	PUNCT
ejpam-6304	145	27	≥	≥	PROPN
ejpam-6304	145	28	δ	δ	PROPN
ejpam-6304	145	29	,	,	PUNCT
ejpam-6304	145	30	ρ1(ϖ	ρ1(ϖ	PROPN
ejpam-6304	145	31	−ϖ0	−ϖ0	NOUN
ejpam-6304	145	32	,	,	PUNCT
ejpam-6304	146	1	γ	γ	NOUN
ejpam-6304	146	2	)	)	PUNCT
ejpam-6304	146	3	≤	≤	NOUN
ejpam-6304	146	4	δ	δ	PROPN
ejpam-6304	146	5	⇒	⇒	NOUN
ejpam-6304	146	6	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	146	7	)	)	PUNCT
ejpam-6304	146	8	,	,	PUNCT
ejpam-6304	146	9	ϵ	ϵ	X
ejpam-6304	146	10	)	)	PUNCT
ejpam-6304	146	11	≤	≤	NUM
ejpam-6304	146	12	δ	δ	PROPN
ejpam-6304	146	13	and	and	CCONJ
ejpam-6304	146	14	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	146	15	−ϖ0	−ϖ0	NOUN
ejpam-6304	146	16	,	,	PUNCT
ejpam-6304	146	17	γ	γ	NOUN
ejpam-6304	146	18	)	)	PUNCT
ejpam-6304	146	19	≤	≤	NOUN
ejpam-6304	146	20	δ	δ	PROPN
ejpam-6304	146	21	⇒	⇒	ADJ
ejpam-6304	146	22	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	146	23	)	)	PUNCT
ejpam-6304	146	24	,	,	PUNCT
ejpam-6304	146	25	ϵ	ϵ	X
ejpam-6304	146	26	)	)	PUNCT
ejpam-6304	146	27	≤	≤	NUM
ejpam-6304	147	1	δ	δ	PROPN
ejpam-6304	147	2	.	.	PUNCT
ejpam-6304	147	3	pandiselvi	pandiselvi	PROPN
ejpam-6304	147	4	.	.	PUNCT
ejpam-6304	148	1	m	m	PROPN
ejpam-6304	148	2	,	,	PUNCT
ejpam-6304	148	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	148	4	.	.	PUNCT
ejpam-6304	149	1	m	m	PROPN
ejpam-6304	149	2	andmohammad	andmohammad	PROPN
ejpam-6304	149	3	akram	akram	PROPN
ejpam-6304	149	4	/	/	PUNCT
ejpam-6304	149	5	eur	eur	PROPN
ejpam-6304	149	6	.	.	PUNCT
ejpam-6304	150	1	j.	j.	PROPN
ejpam-6304	150	2	pure	pure	PROPN
ejpam-6304	150	3	appl	appl	PROPN
ejpam-6304	150	4	.	.	PROPN
ejpam-6304	150	5	math	math	PROPN
ejpam-6304	150	6	,	,	PUNCT
ejpam-6304	150	7	18	18	NUM
ejpam-6304	150	8	(	(	PUNCT
ejpam-6304	150	9	3	3	NUM
ejpam-6304	150	10	)	)	PUNCT
ejpam-6304	150	11	(	(	PUNCT
ejpam-6304	150	12	2025	2025	NUM
ejpam-6304	150	13	)	)	PUNCT
ejpam-6304	150	14	,	,	PUNCT
ejpam-6304	150	15	6304	6304	NUM
ejpam-6304	150	16	7	7	NUM
ejpam-6304	150	17	of	of	ADP
ejpam-6304	150	18	15	15	NUM
ejpam-6304	150	19	theorem	theorem	NOUN
ejpam-6304	150	20	7	7	NUM
ejpam-6304	150	21	.	.	PUNCT
ejpam-6304	151	1	if	if	SCONJ
ejpam-6304	151	2	a	a	DET
ejpam-6304	151	3	linear	linear	ADJ
ejpam-6304	151	4	operator	operator	NOUN
ejpam-6304	151	5	υ	υ	NOUN
ejpam-6304	151	6	:	:	PUNCT
ejpam-6304	151	7	(	(	PUNCT
ejpam-6304	151	8	f	f	X
ejpam-6304	151	9	,	,	PUNCT
ejpam-6304	151	10	η1	η1	NOUN
ejpam-6304	151	11	,	,	PUNCT
ejpam-6304	151	12	ρ1	ρ1	NOUN
ejpam-6304	151	13	,	,	PUNCT
ejpam-6304	151	14	ς1	ς1	NOUN
ejpam-6304	151	15	)	)	PUNCT
ejpam-6304	151	16	→	→	SYM
ejpam-6304	151	17	(	(	PUNCT
ejpam-6304	151	18	g	g	NOUN
ejpam-6304	151	19	,	,	PUNCT
ejpam-6304	151	20	η2	η2	NOUN
ejpam-6304	151	21	,	,	PUNCT
ejpam-6304	151	22	ρ2	ρ2	NOUN
ejpam-6304	151	23	,	,	PUNCT
ejpam-6304	151	24	ς2	ς2	PROPN
ejpam-6304	151	25	)	)	PUNCT
ejpam-6304	151	26	is	be	AUX
ejpam-6304	151	27	strongly	strongly	ADV
ejpam-6304	151	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	151	29	continuous	continuous	ADJ
ejpam-6304	151	30	at	at	ADP
ejpam-6304	151	31	ϖ0	ϖ0	NOUN
ejpam-6304	151	32	∈	∈	NOUN
ejpam-6304	152	1	f	f	NOUN
ejpam-6304	152	2	then	then	ADV
ejpam-6304	152	3	it	it	PRON
ejpam-6304	152	4	is	be	AUX
ejpam-6304	152	5	weakly	weakly	ADV
ejpam-6304	152	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	152	7	continuous	continuous	ADJ
ejpam-6304	152	8	on	on	ADP
ejpam-6304	152	9	f	f	PROPN
ejpam-6304	152	10	,	,	PUNCT
ejpam-6304	152	11	where	where	SCONJ
ejpam-6304	152	12	(	(	PUNCT
ejpam-6304	152	13	f	f	X
ejpam-6304	152	14	,	,	PUNCT
ejpam-6304	152	15	η1	η1	NOUN
ejpam-6304	152	16	,	,	PUNCT
ejpam-6304	152	17	ρ1	ρ1	NOUN
ejpam-6304	152	18	,	,	PUNCT
ejpam-6304	152	19	ς1	ς1	NOUN
ejpam-6304	152	20	)	)	PUNCT
ejpam-6304	152	21	and	and	CCONJ
ejpam-6304	152	22	(	(	PUNCT
ejpam-6304	152	23	g	g	NOUN
ejpam-6304	152	24	,	,	PUNCT
ejpam-6304	152	25	η2	η2	NOUN
ejpam-6304	152	26	,	,	PUNCT
ejpam-6304	152	27	ρ2	ρ2	NOUN
ejpam-6304	152	28	,	,	PUNCT
ejpam-6304	152	29	ς2	ς2	PROPN
ejpam-6304	152	30	)	)	PUNCT
ejpam-6304	152	31	are	be	AUX
ejpam-6304	152	32	npnls	npnls	NOUN
ejpam-6304	152	33	.	.	PUNCT
ejpam-6304	153	1	proof	proof	NOUN
ejpam-6304	153	2	.	.	PUNCT
ejpam-6304	154	1	since	since	SCONJ
ejpam-6304	154	2	υ	υ	NOUN
ejpam-6304	154	3	is	be	AUX
ejpam-6304	154	4	weakly	weakly	ADV
ejpam-6304	154	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	154	6	continuous	continuous	ADJ
ejpam-6304	154	7	at	at	ADP
ejpam-6304	154	8	ϖ0	ϖ0	NOUN
ejpam-6304	154	9	,	,	PUNCT
ejpam-6304	154	10	for	for	ADP
ejpam-6304	154	11	given	give	VERB
ejpam-6304	154	12	ϵ	ϵ	ADP
ejpam-6304	154	13	>	>	X
ejpam-6304	154	14	0	0	PUNCT
ejpam-6304	154	15	there	there	PRON
ejpam-6304	154	16	exists	exist	VERB
ejpam-6304	154	17	0	0	PUNCT
ejpam-6304	154	18	<	<	X
ejpam-6304	154	19	δ	δ	PROPN
ejpam-6304	154	20	and	and	CCONJ
ejpam-6304	154	21	0	0	NUM
ejpam-6304	154	22	<	<	X
ejpam-6304	154	23	γ	γ	PROPN
ejpam-6304	154	24	such	such	ADJ
ejpam-6304	154	25	that	that	PRON
ejpam-6304	154	26	for	for	SCONJ
ejpam-6304	154	27	all	all	DET
ejpam-6304	154	28	ϖ	ϖ	NOUN
ejpam-6304	154	29	∈	∈	PROPN
ejpam-6304	154	30	f	f	NOUN
ejpam-6304	154	31	,	,	PUNCT
ejpam-6304	154	32	η1(ϖ	η1(ϖ	PROPN
ejpam-6304	154	33	−ϖ0	−ϖ0	PROPN
ejpam-6304	154	34	,	,	PUNCT
ejpam-6304	154	35	γ	γ	NOUN
ejpam-6304	154	36	)	)	PUNCT
ejpam-6304	154	37	≥	≥	NOUN
ejpam-6304	154	38	δ	δ	PROPN
ejpam-6304	154	39	⇒	⇒	ADJ
ejpam-6304	154	40	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	154	41	)	)	PUNCT
ejpam-6304	154	42	,	,	PUNCT
ejpam-6304	154	43	ϵ	ϵ	X
ejpam-6304	154	44	)	)	PUNCT
ejpam-6304	154	45	≥	≥	PROPN
ejpam-6304	154	46	δ	δ	PROPN
ejpam-6304	154	47	,	,	PUNCT
ejpam-6304	154	48	ρ1(ϖ	ρ1(ϖ	PROPN
ejpam-6304	154	49	−ϖ0	−ϖ0	NOUN
ejpam-6304	154	50	,	,	PUNCT
ejpam-6304	155	1	γ	γ	NOUN
ejpam-6304	155	2	)	)	PUNCT
ejpam-6304	155	3	≤	≤	NOUN
ejpam-6304	155	4	δ	δ	PROPN
ejpam-6304	155	5	⇒	⇒	NOUN
ejpam-6304	155	6	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	155	7	)	)	PUNCT
ejpam-6304	155	8	,	,	PUNCT
ejpam-6304	155	9	ϵ	ϵ	X
ejpam-6304	155	10	)	)	PUNCT
ejpam-6304	155	11	≤	≤	NUM
ejpam-6304	155	12	δ	δ	PROPN
ejpam-6304	155	13	and	and	CCONJ
ejpam-6304	155	14	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	155	15	−ϖ0	−ϖ0	NOUN
ejpam-6304	155	16	,	,	PUNCT
ejpam-6304	155	17	γ	γ	NOUN
ejpam-6304	155	18	)	)	PUNCT
ejpam-6304	155	19	≤	≤	NOUN
ejpam-6304	155	20	δ	δ	PROPN
ejpam-6304	155	21	⇒	⇒	ADJ
ejpam-6304	155	22	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	155	23	)	)	PUNCT
ejpam-6304	155	24	,	,	PUNCT
ejpam-6304	155	25	ϵ	ϵ	X
ejpam-6304	155	26	)	)	PUNCT
ejpam-6304	155	27	≤	≤	NUM
ejpam-6304	156	1	δ	δ	PROPN
ejpam-6304	156	2	.	.	PUNCT
ejpam-6304	157	1	taking	take	VERB
ejpam-6304	157	2	w	w	PROPN
ejpam-6304	157	3	∈	∈	NOUN
ejpam-6304	158	1	f	f	NOUN
ejpam-6304	158	2	we	we	PRON
ejpam-6304	158	3	have	have	AUX
ejpam-6304	158	4	ϖ+ϖ0	ϖ+ϖ0	NOUN
ejpam-6304	158	5	−w	−w	ADV
ejpam-6304	158	6	∈	∈	PROPN
ejpam-6304	158	7	f.	f.	PROPN
ejpam-6304	158	8	therefore	therefore	ADV
ejpam-6304	158	9	replacing	replace	VERB
ejpam-6304	158	10	ϖ	ϖ	INTJ
ejpam-6304	158	11	by	by	ADP
ejpam-6304	158	12	ϖ+ϖ0	ϖ+ϖ0	PROPN
ejpam-6304	158	13	−w	−w	ADV
ejpam-6304	158	14	.	.	PUNCT
ejpam-6304	159	1	we	we	PRON
ejpam-6304	159	2	have	have	VERB
ejpam-6304	159	3	,	,	PUNCT
ejpam-6304	159	4	η1(ϖ	η1(ϖ	NUM
ejpam-6304	159	5	−ϖ0	−ϖ0	PROPN
ejpam-6304	159	6	,	,	PUNCT
ejpam-6304	159	7	γ	γ	NOUN
ejpam-6304	159	8	)	)	PUNCT
ejpam-6304	159	9	≥	≥	NOUN
ejpam-6304	159	10	δ	δ	PROPN
ejpam-6304	159	11	⇒	⇒	VERB
ejpam-6304	159	12	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	160	1	+	+	ADJ
ejpam-6304	160	2	ϖ0	ϖ0	NOUN
ejpam-6304	160	3	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	160	4	)	)	PUNCT
ejpam-6304	160	5	,	,	PUNCT
ejpam-6304	160	6	ϵ	ϵ	X
ejpam-6304	160	7	)	)	PUNCT
ejpam-6304	160	8	≥	≥	NOUN
ejpam-6304	161	1	δ	δ	PROPN
ejpam-6304	161	2	⇒	⇒	PROPN
ejpam-6304	161	3	η2(υ(ϖ	η2(υ(ϖ	PROPN
ejpam-6304	161	4	)	)	PUNCT
ejpam-6304	162	1	+	+	NUM
ejpam-6304	162	2	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	162	3	)	)	PUNCT
ejpam-6304	162	4	,	,	PUNCT
ejpam-6304	162	5	ϵ	ϵ	X
ejpam-6304	162	6	)	)	PUNCT
ejpam-6304	162	7	≥	≥	NOUN
ejpam-6304	162	8	δ	δ	PROPN
ejpam-6304	162	9	⇒	⇒	ADJ
ejpam-6304	162	10	η2(υ(ϖ)−υ(w)−υ(ϖ0	η2(υ(ϖ)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	162	11	)	)	PUNCT
ejpam-6304	162	12	,	,	PUNCT
ejpam-6304	162	13	ϵ	ϵ	X
ejpam-6304	162	14	)	)	PUNCT
ejpam-6304	162	15	≥	≥	PROPN
ejpam-6304	162	16	δ	δ	PROPN
ejpam-6304	162	17	,	,	PUNCT
ejpam-6304	162	18	ρ1(ϖ	ρ1(ϖ	PROPN
ejpam-6304	162	19	−ϖ0	−ϖ0	NOUN
ejpam-6304	162	20	,	,	PUNCT
ejpam-6304	162	21	γ	γ	NOUN
ejpam-6304	162	22	)	)	PUNCT
ejpam-6304	162	23	≥	≥	NOUN
ejpam-6304	162	24	δ	δ	PROPN
ejpam-6304	162	25	⇒	⇒	VERB
ejpam-6304	162	26	ρ2(υ(ϖ	ρ2(υ(ϖ	X
ejpam-6304	162	27	+	+	ADJ
ejpam-6304	162	28	ϖ0	ϖ0	NOUN
ejpam-6304	162	29	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	162	30	)	)	PUNCT
ejpam-6304	162	31	,	,	PUNCT
ejpam-6304	162	32	ϵ	ϵ	X
ejpam-6304	162	33	)	)	PUNCT
ejpam-6304	162	34	≤	≤	NUM
ejpam-6304	162	35	δ	δ	PROPN
ejpam-6304	162	36	⇒	⇒	NOUN
ejpam-6304	162	37	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	162	38	)	)	PUNCT
ejpam-6304	163	1	+	+	NUM
ejpam-6304	163	2	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	163	3	)	)	PUNCT
ejpam-6304	163	4	,	,	PUNCT
ejpam-6304	163	5	ϵ	ϵ	X
ejpam-6304	163	6	)	)	PUNCT
ejpam-6304	163	7	≤	≤	NUM
ejpam-6304	163	8	δ	δ	PROPN
ejpam-6304	163	9	⇒	⇒	NOUN
ejpam-6304	163	10	ρ2(υ(ϖ)−υ(w)−υ(ϖ0	ρ2(υ(ϖ)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	163	11	)	)	PUNCT
ejpam-6304	163	12	,	,	PUNCT
ejpam-6304	163	13	ϵ	ϵ	X
ejpam-6304	163	14	)	)	PUNCT
ejpam-6304	163	15	≤	≤	NUM
ejpam-6304	163	16	δ	δ	PROPN
ejpam-6304	163	17	and	and	CCONJ
ejpam-6304	163	18	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	163	19	−ϖ0	−ϖ0	NOUN
ejpam-6304	163	20	,	,	PUNCT
ejpam-6304	163	21	γ	γ	NOUN
ejpam-6304	163	22	)	)	PUNCT
ejpam-6304	163	23	≥	≥	NOUN
ejpam-6304	163	24	δ	δ	PROPN
ejpam-6304	163	25	⇒	⇒	VERB
ejpam-6304	163	26	ς2(υ(ϖ	ς2(υ(ϖ	X
ejpam-6304	164	1	+	+	ADJ
ejpam-6304	164	2	ϖ0	ϖ0	NOUN
ejpam-6304	164	3	−w)−υ(ϖ0	−w)−υ(ϖ0	NOUN
ejpam-6304	164	4	)	)	PUNCT
ejpam-6304	164	5	,	,	PUNCT
ejpam-6304	164	6	ϵ	ϵ	X
ejpam-6304	164	7	)	)	PUNCT
ejpam-6304	164	8	≤	≤	NOUN
ejpam-6304	164	9	δ	δ	PROPN
ejpam-6304	164	10	⇒	⇒	NOUN
ejpam-6304	164	11	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	164	12	)	)	PUNCT
ejpam-6304	164	13	+	+	NUM
ejpam-6304	164	14	υ(ϖ0)−υ(w)−υ(ϖ0	υ(ϖ0)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	164	15	)	)	PUNCT
ejpam-6304	164	16	,	,	PUNCT
ejpam-6304	164	17	ϵ	ϵ	X
ejpam-6304	164	18	)	)	PUNCT
ejpam-6304	164	19	≤	≤	NOUN
ejpam-6304	164	20	δ	δ	PROPN
ejpam-6304	164	21	⇒	⇒	NOUN
ejpam-6304	164	22	ς2(υ(ϖ)−υ(w)−υ(ϖ0	ς2(υ(ϖ)−υ(w)−υ(ϖ0	NOUN
ejpam-6304	164	23	)	)	PUNCT
ejpam-6304	164	24	,	,	PUNCT
ejpam-6304	164	25	ϵ	ϵ	X
ejpam-6304	164	26	)	)	PUNCT
ejpam-6304	164	27	≤	≤	NUM
ejpam-6304	165	1	δ	δ	PROPN
ejpam-6304	165	2	.	.	PUNCT
ejpam-6304	166	1	since	since	SCONJ
ejpam-6304	166	2	w	w	PROPN
ejpam-6304	166	3	∈	∈	PROPN
ejpam-6304	166	4	f	f	NOUN
ejpam-6304	166	5	is	be	AUX
ejpam-6304	166	6	arbitrary	arbitrary	ADJ
ejpam-6304	166	7	,	,	PUNCT
ejpam-6304	166	8	υ	υ	PRON
ejpam-6304	166	9	is	be	AUX
ejpam-6304	166	10	weakly	weakly	ADV
ejpam-6304	166	11	neutrosophic	neutrosophic	ADJ
ejpam-6304	166	12	continuous	continuous	ADJ
ejpam-6304	166	13	on	on	ADP
ejpam-6304	166	14	f.	f.	PROPN
ejpam-6304	166	15	example	example	NOUN
ejpam-6304	167	1	1	1	X
ejpam-6304	167	2	.	.	PUNCT
ejpam-6304	168	1	let	let	AUX
ejpam-6304	168	2	(	(	PUNCT
ejpam-6304	168	3	f	f	X
ejpam-6304	168	4	,	,	PUNCT
ejpam-6304	168	5	∥·∥	∥·∥	PROPN
ejpam-6304	168	6	)	)	PUNCT
ejpam-6304	168	7	be	be	VERB
ejpam-6304	168	8	a	a	DET
ejpam-6304	168	9	pseudo	pseudo	NOUN
ejpam-6304	168	10	normed	norme	VERB
ejpam-6304	168	11	linear	linear	ADJ
ejpam-6304	168	12	space	space	NOUN
ejpam-6304	168	13	and	and	CCONJ
ejpam-6304	168	14	η	η	PROPN
ejpam-6304	168	15	,	,	PUNCT
ejpam-6304	168	16	ρ	ρ	PROPN
ejpam-6304	168	17	,	,	PUNCT
ejpam-6304	168	18	ς	ς	PROPN
ejpam-6304	168	19	:	:	PUNCT
ejpam-6304	168	20	f	f	PROPN
ejpam-6304	168	21	×r	×r	X
ejpam-6304	168	22	→	→	SYM
ejpam-6304	168	23	[	[	X
ejpam-6304	168	24	0	0	NUM
ejpam-6304	168	25	,	,	PUNCT
ejpam-6304	168	26	1	1	NUM
ejpam-6304	168	27	]	]	PUNCT
ejpam-6304	168	28	be	be	AUX
ejpam-6304	168	29	defined	define	VERB
ejpam-6304	168	30	by	by	ADP
ejpam-6304	168	31	η(ϖ,φ	η(ϖ,φ	ADJ
ejpam-6304	168	32	)	)	PUNCT
ejpam-6304	168	33	=	=	PUNCT
ejpam-6304	169	1			PUNCT
ejpam-6304	169	2	1	1	NUM
ejpam-6304	169	3	if	if	SCONJ
ejpam-6304	169	4	φ	φ	PROPN
ejpam-6304	169	5	>	>	X
ejpam-6304	169	6	0	0	PROPN
ejpam-6304	169	7	,	,	PUNCT
ejpam-6304	169	8	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	169	9	<	<	X
ejpam-6304	169	10	φ	φ	PROPN
ejpam-6304	169	11	φ	φ	PROPN
ejpam-6304	169	12	φ+∥ϖ∥	φ+∥ϖ∥	PROPN
ejpam-6304	169	13	if	if	SCONJ
ejpam-6304	169	14	φ	φ	PROPN
ejpam-6304	169	15	>	>	X
ejpam-6304	169	16	0	0	PROPN
ejpam-6304	169	17	,	,	PUNCT
ejpam-6304	169	18	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	169	19	≥	≥	PROPN
ejpam-6304	169	20	φ	φ	NOUN
ejpam-6304	169	21	0	0	PROPN
ejpam-6304	170	1	if	if	SCONJ
ejpam-6304	170	2	φ	φ	PROPN
ejpam-6304	170	3	≤	≤	NUM
ejpam-6304	170	4	0	0	NUM
ejpam-6304	170	5	,	,	PUNCT
ejpam-6304	170	6	ρ(ϖ,φ	ρ(ϖ,φ	NUM
ejpam-6304	170	7	)	)	PUNCT
ejpam-6304	171	1	=	=	PUNCT
ejpam-6304	172	1			NOUN
ejpam-6304	172	2	0	0	NUM
ejpam-6304	173	1	if	if	SCONJ
ejpam-6304	173	2	φ	φ	PROPN
ejpam-6304	173	3	>	>	X
ejpam-6304	173	4	0	0	PROPN
ejpam-6304	173	5	,	,	PUNCT
ejpam-6304	173	6	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	173	7	<	<	X
ejpam-6304	173	8	φ	φ	PROPN
ejpam-6304	173	9	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	173	10	φ+∥ϖ∥	φ+∥ϖ∥	NOUN
ejpam-6304	173	11	if	if	SCONJ
ejpam-6304	173	12	φ	φ	PROPN
ejpam-6304	173	13	>	>	X
ejpam-6304	173	14	0	0	PROPN
ejpam-6304	173	15	,	,	PUNCT
ejpam-6304	173	16	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	173	17	≥	≥	PROPN
ejpam-6304	173	18	φ	φ	PROPN
ejpam-6304	173	19	1	1	NUM
ejpam-6304	173	20	if	if	SCONJ
ejpam-6304	173	21	φ	φ	PROPN
ejpam-6304	173	22	≥	≥	X
ejpam-6304	173	23	0	0	NUM
ejpam-6304	173	24	and	and	CCONJ
ejpam-6304	173	25	ς(ϖ,φ	ς(ϖ,φ	NUM
ejpam-6304	173	26	)	)	PUNCT
ejpam-6304	174	1	=	=	SYM
ejpam-6304	175	1			NOUN
ejpam-6304	175	2	0	0	NUM
ejpam-6304	176	1	if	if	SCONJ
ejpam-6304	176	2	φ	φ	PROPN
ejpam-6304	176	3	>	>	X
ejpam-6304	176	4	0	0	PROPN
ejpam-6304	176	5	,	,	PUNCT
ejpam-6304	176	6	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	176	7	<	<	X
ejpam-6304	176	8	φ	φ	PROPN
ejpam-6304	176	9	∥ϖ∥	∥ϖ∥	PROPN
ejpam-6304	176	10	φ	φ	PROPN
ejpam-6304	176	11	if	if	SCONJ
ejpam-6304	176	12	φ	φ	PROPN
ejpam-6304	176	13	>	>	X
ejpam-6304	176	14	0	0	PROPN
ejpam-6304	176	15	,	,	PUNCT
ejpam-6304	176	16	∥ϖ∥	∥ϖ∥	NOUN
ejpam-6304	176	17	≥	≥	PROPN
ejpam-6304	176	18	φ	φ	PROPN
ejpam-6304	176	19	1	1	NUM
ejpam-6304	176	20	if	if	SCONJ
ejpam-6304	176	21	φ	φ	PROPN
ejpam-6304	176	22	≥	≥	X
ejpam-6304	176	23	0	0	PUNCT
ejpam-6304	176	24	then	then	ADV
ejpam-6304	176	25	(	(	PUNCT
ejpam-6304	176	26	f	f	X
ejpam-6304	176	27	,	,	PUNCT
ejpam-6304	176	28	η	η	PROPN
ejpam-6304	176	29	,	,	PUNCT
ejpam-6304	176	30	ρ	ρ	PROPN
ejpam-6304	176	31	,	,	PUNCT
ejpam-6304	176	32	ς	ς	NOUN
ejpam-6304	176	33	)	)	PUNCT
ejpam-6304	176	34	is	be	AUX
ejpam-6304	176	35	a	a	DET
ejpam-6304	176	36	npnls	npnls	NOUN
ejpam-6304	176	37	.	.	PUNCT
ejpam-6304	177	1	let	let	VERB
ejpam-6304	177	2	υ	υ	NOUN
ejpam-6304	177	3	:	:	PUNCT
ejpam-6304	177	4	(	(	PUNCT
ejpam-6304	177	5	f	f	X
ejpam-6304	177	6	,	,	PUNCT
ejpam-6304	177	7	η	η	PROPN
ejpam-6304	177	8	,	,	PUNCT
ejpam-6304	177	9	ρ	ρ	PROPN
ejpam-6304	177	10	,	,	PUNCT
ejpam-6304	177	11	ς	ς	NOUN
ejpam-6304	177	12	)	)	PUNCT
ejpam-6304	177	13	→	→	SYM
ejpam-6304	177	14	(	(	PUNCT
ejpam-6304	177	15	f	f	X
ejpam-6304	177	16	,	,	PUNCT
ejpam-6304	177	17	η	η	PROPN
ejpam-6304	177	18	,	,	PUNCT
ejpam-6304	177	19	ρ	ρ	PROPN
ejpam-6304	177	20	,	,	PUNCT
ejpam-6304	177	21	ς	ς	NOUN
ejpam-6304	177	22	)	)	PUNCT
ejpam-6304	177	23	be	be	VERB
ejpam-6304	177	24	a	a	DET
ejpam-6304	177	25	linear	linear	ADJ
ejpam-6304	177	26	operator	operator	NOUN
ejpam-6304	177	27	defined	define	VERB
ejpam-6304	177	28	by	by	ADP
ejpam-6304	177	29	υ(ϖ	υ(ϖ	NOUN
ejpam-6304	177	30	)	)	PUNCT
ejpam-6304	178	1	=	=	SYM
ejpam-6304	178	2	ϖ3	ϖ3	NOUN
ejpam-6304	178	3	1+ϖ	1+ϖ	NUM
ejpam-6304	178	4	.	.	PUNCT
ejpam-6304	179	1	let	let	VERB
ejpam-6304	179	2	ϖ0	ϖ0	NOUN
ejpam-6304	179	3	∈	∈	PROPN
ejpam-6304	179	4	f	f	X
ejpam-6304	180	1	then	then	ADV
ejpam-6304	180	2	for	for	ADP
ejpam-6304	180	3	each	each	DET
ejpam-6304	180	4	ϖ	ϖ	NOUN
ejpam-6304	180	5	∈	∈	PROPN
ejpam-6304	180	6	f	f	NOUN
ejpam-6304	180	7	,	,	PUNCT
ejpam-6304	180	8	ϵ	ϵ	X
ejpam-6304	180	9	>	>	X
ejpam-6304	180	10	0	0	PUNCT
ejpam-6304	180	11	there	there	PRON
ejpam-6304	180	12	exists	exist	VERB
ejpam-6304	180	13	0	0	PUNCT
ejpam-6304	180	14	<	<	X
ejpam-6304	180	15	δ	δ	X
ejpam-6304	180	16	<	<	X
ejpam-6304	180	17	1	1	NUM
ejpam-6304	180	18	and	and	CCONJ
ejpam-6304	180	19	0	0	NUM
ejpam-6304	180	20	<	<	X
ejpam-6304	180	21	γ	γ	X
ejpam-6304	180	22	,	,	PUNCT
ejpam-6304	180	23	η(υ(ϖ)−υ(ϖ0	η(υ(ϖ)−υ(ϖ0	X
ejpam-6304	180	24	)	)	PUNCT
ejpam-6304	180	25	,	,	PUNCT
ejpam-6304	180	26	ϵ	ϵ	X
ejpam-6304	180	27	)	)	PUNCT
ejpam-6304	180	28	≥	≥	NOUN
ejpam-6304	180	29	δ	δ	PROPN
ejpam-6304	180	30	pandiselvi	pandiselvi	VERB
ejpam-6304	180	31	.	.	PUNCT
ejpam-6304	181	1	m	m	PROPN
ejpam-6304	181	2	,	,	PUNCT
ejpam-6304	181	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	181	4	.	.	PUNCT
ejpam-6304	182	1	m	m	PROPN
ejpam-6304	182	2	andmohammad	andmohammad	PROPN
ejpam-6304	182	3	akram	akram	PROPN
ejpam-6304	182	4	/	/	PUNCT
ejpam-6304	182	5	eur	eur	PROPN
ejpam-6304	182	6	.	.	PUNCT
ejpam-6304	183	1	j.	j.	PROPN
ejpam-6304	183	2	pure	pure	PROPN
ejpam-6304	183	3	appl	appl	PROPN
ejpam-6304	183	4	.	.	PROPN
ejpam-6304	183	5	math	math	PROPN
ejpam-6304	183	6	,	,	PUNCT
ejpam-6304	183	7	18	18	NUM
ejpam-6304	183	8	(	(	PUNCT
ejpam-6304	183	9	3	3	NUM
ejpam-6304	183	10	)	)	PUNCT
ejpam-6304	183	11	(	(	PUNCT
ejpam-6304	183	12	2025	2025	NUM
ejpam-6304	183	13	)	)	PUNCT
ejpam-6304	183	14	,	,	PUNCT
ejpam-6304	183	15	6304	6304	NUM
ejpam-6304	183	16	8	8	NUM
ejpam-6304	183	17	of	of	ADP
ejpam-6304	183	18	15	15	NUM
ejpam-6304	183	19	⇒	⇒	NOUN
ejpam-6304	184	1	ϵ	ϵ	X
ejpam-6304	184	2	ϵ+	ϵ+	PUNCT
ejpam-6304	184	3	∥υ(ϖ)−υ(ϖ0)∥	∥υ(ϖ)−υ(ϖ0)∥	NOUN
ejpam-6304	184	4	≥	≥	NOUN
ejpam-6304	184	5	δ	δ	PROPN
ejpam-6304	184	6	⇒	⇒	VERB
ejpam-6304	184	7	ϵ	ϵ	X
ejpam-6304	184	8	ϵ+	ϵ+	X
ejpam-6304	184	9	∥∥∥	∥∥∥	PROPN
ejpam-6304	184	10	ϖ3	ϖ3	VERB
ejpam-6304	184	11	1+ϖ	1+ϖ	NUM
ejpam-6304	184	12	−	−	NOUN
ejpam-6304	184	13	ϖ3	ϖ3	VERB
ejpam-6304	184	14	0	0	NUM
ejpam-6304	184	15	1+ϖ0	1+ϖ0	NUM
ejpam-6304	184	16	∥∥∥	∥∥∥	PROPN
ejpam-6304	184	17	≥	≥	X
ejpam-6304	184	18	δ	δ	X
ejpam-6304	184	19	ϵ	ϵ	X
ejpam-6304	184	20	∥(1	∥(1	NOUN
ejpam-6304	185	1	+	+	NOUN
ejpam-6304	185	2	ϖ)(1	ϖ)(1	X
ejpam-6304	185	3	+	+	ADJ
ejpam-6304	185	4	ϖ0)∥	ϖ0)∥	PROPN
ejpam-6304	185	5	ϵ	ϵ	X
ejpam-6304	185	6	∥(1	∥(1	NOUN
ejpam-6304	185	7	+	+	NOUN
ejpam-6304	185	8	ϖ)(1	ϖ)(1	NOUN
ejpam-6304	186	1	+	+	NOUN
ejpam-6304	186	2	ϖ0)∥+	ϖ0)∥+	NOUN
ejpam-6304	186	3	∥∥ϖ3	∥∥ϖ3	PUNCT
ejpam-6304	186	4	+	+	ADJ
ejpam-6304	186	5	ϖ0ϖ3	ϖ0ϖ3	X
ejpam-6304	186	6	−ϖ3	−ϖ3	PROPN
ejpam-6304	186	7	0	0	NUM
ejpam-6304	186	8	−ϖξ30	−ϖξ30	PROPN
ejpam-6304	186	9	∥∥	∥∥	X
ejpam-6304	186	10	≥	≥	NUM
ejpam-6304	186	11	δ	δ	X
ejpam-6304	186	12	ϵ	ϵ	X
ejpam-6304	186	13	∥1	∥1	PRON
ejpam-6304	186	14	+	+	NOUN
ejpam-6304	186	15	ϖ	ϖ	X
ejpam-6304	186	16	+	+	ADJ
ejpam-6304	186	17	ϖ0	ϖ0	NOUN
ejpam-6304	186	18	+	+	NOUN
ejpam-6304	186	19	ϖξ0∥	ϖξ0∥	VERB
ejpam-6304	186	20	∥1	∥1	NOUN
ejpam-6304	186	21	+	+	NOUN
ejpam-6304	186	22	ϖ	ϖ	X
ejpam-6304	186	23	+	+	ADJ
ejpam-6304	186	24	ϖ0	ϖ0	NOUN
ejpam-6304	186	25	+	+	NOUN
ejpam-6304	186	26	ϖξ0∥+	ϖξ0∥+	PROPN
ejpam-6304	186	27	∥∥(ϖ	∥∥(ϖ	ADJ
ejpam-6304	186	28	−ϖ0)(ϖ2	−ϖ0)(ϖ2	PUNCT
ejpam-6304	187	1	+	+	NOUN
ejpam-6304	187	2	ϖξ0	ϖξ0	X
ejpam-6304	187	3	+	+	NOUN
ejpam-6304	187	4	ϖ2	ϖ2	NOUN
ejpam-6304	187	5	0	0	NUM
ejpam-6304	187	6	)	)	PUNCT
ejpam-6304	188	1	+	+	PROPN
ejpam-6304	188	2	ϖξ0(ϖ	ϖξ0(ϖ	PROPN
ejpam-6304	188	3	+	+	PROPN
ejpam-6304	188	4	ϖ0)(ϖ	ϖ0)(ϖ	PROPN
ejpam-6304	188	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	188	6	)	)	PUNCT
ejpam-6304	188	7	∥∥	∥∥	X
ejpam-6304	188	8	≥	≥	NUM
ejpam-6304	189	1	δ	δ	X
ejpam-6304	189	2	ϵ	ϵ	X
ejpam-6304	189	3	∥1	∥1	PRON
ejpam-6304	189	4	+	+	NOUN
ejpam-6304	189	5	ϖ	ϖ	X
ejpam-6304	189	6	+	+	ADJ
ejpam-6304	189	7	ϖ0	ϖ0	NOUN
ejpam-6304	189	8	+	+	NOUN
ejpam-6304	189	9	ϖξ0∥	ϖξ0∥	VERB
ejpam-6304	189	10	∥1	∥1	NOUN
ejpam-6304	189	11	+	+	NOUN
ejpam-6304	189	12	ϖ	ϖ	X
ejpam-6304	189	13	+	+	ADJ
ejpam-6304	189	14	ϖ0	ϖ0	NOUN
ejpam-6304	189	15	+	+	NOUN
ejpam-6304	189	16	ϖξ0∥+	ϖξ0∥+	PROPN
ejpam-6304	189	17	∥∥(ϖ	∥∥(ϖ	ADJ
ejpam-6304	189	18	−ϖ0)(ϖ2	−ϖ0)(ϖ2	PUNCT
ejpam-6304	190	1	+	+	NOUN
ejpam-6304	190	2	ϖξ0	ϖξ0	NOUN
ejpam-6304	191	1	+	+	ADJ
ejpam-6304	191	2	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	191	3	+	+	ADJ
ejpam-6304	191	4	ϖξ20	ϖξ20	PROPN
ejpam-6304	191	5	)	)	PUNCT
ejpam-6304	192	1	∥∥	∥∥	X
ejpam-6304	193	1	≥	≥	NUM
ejpam-6304	193	2	δ	δ	X
ejpam-6304	193	3	ϵ	ϵ	X
ejpam-6304	193	4	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	193	5	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	193	6	ϵ	ϵ	X
ejpam-6304	193	7	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	193	8	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	193	9	+	+	CCONJ
ejpam-6304	193	10	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	193	11	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	193	12	≥	≥	PROPN
ejpam-6304	193	13	δ	δ	PROPN
ejpam-6304	194	1	ϵ	ϵ	X
ejpam-6304	194	2	∥1	∥1	PRON
ejpam-6304	194	3	+	+	NOUN
ejpam-6304	194	4	ϖ	ϖ	X
ejpam-6304	194	5	+	+	ADJ
ejpam-6304	194	6	ϖ0	ϖ0	NOUN
ejpam-6304	194	7	+	+	NOUN
ejpam-6304	194	8	ϖξ0∥∥∥ϖ2	ϖξ0∥∥∥ϖ2	NOUN
ejpam-6304	194	9	+	+	NOUN
ejpam-6304	194	10	ϖξ0	ϖξ0	NOUN
ejpam-6304	194	11	+	+	ADJ
ejpam-6304	194	12	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	194	13	+	+	ADJ
ejpam-6304	194	14	ϖξ20	ϖξ20	PROPN
ejpam-6304	194	15	∥∥	∥∥	PUNCT
ejpam-6304	194	16	≥	≥	NUM
ejpam-6304	194	17	δ	δ	X
ejpam-6304	194	18	ϵ	ϵ	X
ejpam-6304	194	19	∥1	∥1	PRON
ejpam-6304	194	20	+	+	NOUN
ejpam-6304	194	21	ϖ	ϖ	X
ejpam-6304	194	22	+	+	ADJ
ejpam-6304	194	23	ϖ0	ϖ0	NOUN
ejpam-6304	194	24	+	+	NOUN
ejpam-6304	194	25	ϖξ0∥∥∥ϖ2	ϖξ0∥∥∥ϖ2	NOUN
ejpam-6304	194	26	+	+	NOUN
ejpam-6304	194	27	ϖξ0	ϖξ0	NOUN
ejpam-6304	194	28	+	+	ADJ
ejpam-6304	194	29	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	194	30	+	+	ADJ
ejpam-6304	194	31	ϖξ20	ϖξ20	PROPN
ejpam-6304	194	32	∥∥	∥∥	PUNCT
ejpam-6304	194	33	+	+	NUM
ejpam-6304	194	34	δ	δ	PROPN
ejpam-6304	194	35	∥(ϖ	∥(ϖ	X
ejpam-6304	194	36	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	194	37	,	,	PUNCT
ejpam-6304	194	38	ϵ	ϵ	PRON
ejpam-6304	194	39	≥	≥	X
ejpam-6304	194	40	δ.ϵ+	δ.ϵ+	PUNCT
ejpam-6304	194	41	δ	δ	PROPN
ejpam-6304	194	42	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	194	43	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	194	44	∥∥(ϖ2	∥∥(ϖ2	PROPN
ejpam-6304	194	45	+	+	NOUN
ejpam-6304	194	46	ϖξ0	ϖξ0	NOUN
ejpam-6304	195	1	+	+	ADJ
ejpam-6304	195	2	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	195	3	+	+	ADJ
ejpam-6304	195	4	ϖξ20	ϖξ20	PROPN
ejpam-6304	195	5	)	)	PUNCT
ejpam-6304	196	1	∥∥	∥∥	X
ejpam-6304	197	1	∥1	∥1	DET
ejpam-6304	197	2	+	+	ADJ
ejpam-6304	197	3	ϖ	ϖ	X
ejpam-6304	197	4	+	+	ADJ
ejpam-6304	197	5	ϖ0	ϖ0	NOUN
ejpam-6304	197	6	+	+	NOUN
ejpam-6304	197	7	ϖξ0∥	ϖξ0∥	NOUN
ejpam-6304	197	8	≥	≥	NOUN
ejpam-6304	197	9	δ.ϵ+	δ.ϵ+	X
ejpam-6304	197	10	δ	δ	PROPN
ejpam-6304	197	11	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	197	12	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	197	13	,	,	PUNCT
ejpam-6304	197	14	since	since	SCONJ
ejpam-6304	197	15	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	197	16	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	197	17	≥	≥	NUM
ejpam-6304	197	18	1	1	NUM
ejpam-6304	197	19	.	.	PUNCT
ejpam-6304	198	1	γ	γ	X
ejpam-6304	198	2	≥	≥	X
ejpam-6304	198	3	δ.γ	δ.γ	PROPN
ejpam-6304	198	4	+	+	NUM
ejpam-6304	198	5	δ	δ	PROPN
ejpam-6304	198	6	∥(ϖ	∥(ϖ	X
ejpam-6304	198	7	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	198	8	,	,	PUNCT
ejpam-6304	198	9	by	by	ADP
ejpam-6304	198	10	taking	take	VERB
ejpam-6304	198	11	ϵ	ϵ	X
ejpam-6304	198	12	=	=	SYM
ejpam-6304	198	13	γ	γ	X
ejpam-6304	198	14	.	.	PROPN
ejpam-6304	198	15	⇒	⇒	PROPN
ejpam-6304	198	16	γ	γ	PROPN
ejpam-6304	198	17	γ+∥(ϖ−ϖ0)∥	γ+∥(ϖ−ϖ0)∥	X
ejpam-6304	198	18	≥	≥	NOUN
ejpam-6304	198	19	δ	δ	PROPN
ejpam-6304	198	20	⇒	⇒	VERB
ejpam-6304	198	21	η(ϖ	η(ϖ	PROPN
ejpam-6304	198	22	−ϖ0	−ϖ0	PROPN
ejpam-6304	198	23	,	,	PUNCT
ejpam-6304	198	24	γ	γ	NOUN
ejpam-6304	198	25	)	)	PUNCT
ejpam-6304	198	26	≥	≥	NUM
ejpam-6304	198	27	δ	δ	PROPN
ejpam-6304	198	28	.	.	PUNCT
ejpam-6304	199	1	ρ(υ(ϖ)−υ(ϖ0	ρ(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	199	2	)	)	PUNCT
ejpam-6304	200	1	,	,	PUNCT
ejpam-6304	200	2	ϵ	ϵ	X
ejpam-6304	200	3	)	)	PUNCT
ejpam-6304	200	4	≤	≤	NUM
ejpam-6304	200	5	δ	δ	PROPN
ejpam-6304	200	6	∥υ(ϖ)−υ(ϖ0)∥	∥υ(ϖ)−υ(ϖ0)∥	NOUN
ejpam-6304	201	1	ϵ+	ϵ+	PUNCT
ejpam-6304	201	2	∥υ(ϖ)−υ(ϖ0)∥	∥υ(ϖ)−υ(ϖ0)∥	NOUN
ejpam-6304	201	3	≤	≤	ADJ
ejpam-6304	201	4	δ	δ	PROPN
ejpam-6304	201	5	⇒	⇒	PROPN
ejpam-6304	201	6	∥∥∥	∥∥∥	PROPN
ejpam-6304	201	7	ϖ3	ϖ3	VERB
ejpam-6304	201	8	1+ϖ	1+ϖ	NUM
ejpam-6304	201	9	−	−	NOUN
ejpam-6304	201	10	ϖ3	ϖ3	VERB
ejpam-6304	201	11	0	0	NUM
ejpam-6304	201	12	1+ϖ0	1+ϖ0	NUM
ejpam-6304	201	13	∥∥∥	∥∥∥	PROPN
ejpam-6304	201	14	ϵ+	ϵ+	PUNCT
ejpam-6304	201	15	∥∥∥	∥∥∥	PROPN
ejpam-6304	201	16	ϖ3	ϖ3	VERB
ejpam-6304	201	17	1+ϖ	1+ϖ	NUM
ejpam-6304	201	18	−	−	NOUN
ejpam-6304	201	19	ϖ3	ϖ3	VERB
ejpam-6304	201	20	0	0	NUM
ejpam-6304	201	21	1+ϖ0	1+ϖ0	NUM
ejpam-6304	201	22	∥∥∥	∥∥∥	PROPN
ejpam-6304	201	23	≤	≤	NUM
ejpam-6304	202	1	δ	δ	X
ejpam-6304	202	2	∥∥ϖ3	∥∥ϖ3	PUNCT
ejpam-6304	203	1	+	+	ADJ
ejpam-6304	203	2	ϖ0ϖ	ϖ0ϖ	X
ejpam-6304	203	3	3	3	NUM
ejpam-6304	203	4	−ϖ3	−ϖ3	PROPN
ejpam-6304	203	5	0	0	NUM
ejpam-6304	203	6	−ϖξ30	−ϖξ30	NOUN
ejpam-6304	203	7	∥∥	∥∥	X
ejpam-6304	203	8	ϵ	ϵ	X
ejpam-6304	203	9	∥(1	∥(1	NOUN
ejpam-6304	203	10	+	+	NOUN
ejpam-6304	203	11	ϖ)(1	ϖ)(1	X
ejpam-6304	204	1	+	+	NOUN
ejpam-6304	204	2	ϖ0)|+	ϖ0)|+	NOUN
ejpam-6304	204	3	∥∥ϖ3	∥∥ϖ3	PUNCT
ejpam-6304	204	4	+	+	ADJ
ejpam-6304	204	5	ϖ0ϖ3	ϖ0ϖ3	X
ejpam-6304	204	6	−ϖ3	−ϖ3	PROPN
ejpam-6304	204	7	0	0	NUM
ejpam-6304	204	8	−ϖξ30	−ϖξ30	PROPN
ejpam-6304	204	9	∥∥	∥∥	PROPN
ejpam-6304	204	10	≤	≤	NUM
ejpam-6304	204	11	δ∥∥(ϖ	δ∥∥(ϖ	PUNCT
ejpam-6304	205	1	−ϖ0)(ϖ	−ϖ0)(ϖ	DET
ejpam-6304	205	2	2	2	NUM
ejpam-6304	205	3	+	+	NOUN
ejpam-6304	205	4	ϖξ0	ϖξ0	NOUN
ejpam-6304	205	5	+	+	NOUN
ejpam-6304	205	6	ϖ2	ϖ2	NOUN
ejpam-6304	205	7	0	0	NUM
ejpam-6304	205	8	)	)	PUNCT
ejpam-6304	206	1	+	+	PROPN
ejpam-6304	206	2	ϖξ0(ϖ	ϖξ0(ϖ	PROPN
ejpam-6304	206	3	+	+	PROPN
ejpam-6304	206	4	ϖ0)(ϖ	ϖ0)(ϖ	PROPN
ejpam-6304	206	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	206	6	)	)	PUNCT
ejpam-6304	207	1	∥∥	∥∥	PROPN
ejpam-6304	208	1	ϵ	ϵ	ADP
ejpam-6304	208	2	∥1	∥1	PRON
ejpam-6304	208	3	+	+	NOUN
ejpam-6304	208	4	ϖ	ϖ	X
ejpam-6304	208	5	+	+	ADJ
ejpam-6304	208	6	ϖ0	ϖ0	NOUN
ejpam-6304	208	7	+	+	NOUN
ejpam-6304	208	8	ϖξ0∥+	ϖξ0∥+	PROPN
ejpam-6304	208	9	∥∥(ϖ	∥∥(ϖ	ADJ
ejpam-6304	208	10	−ϖ0)(ϖ2	−ϖ0)(ϖ2	PUNCT
ejpam-6304	209	1	+	+	NOUN
ejpam-6304	209	2	ϖξ0	ϖξ0	X
ejpam-6304	209	3	+	+	NOUN
ejpam-6304	209	4	ϖ2	ϖ2	NOUN
ejpam-6304	209	5	0	0	NUM
ejpam-6304	209	6	)	)	PUNCT
ejpam-6304	210	1	+	+	PROPN
ejpam-6304	210	2	ϖξ0(ϖ	ϖξ0(ϖ	PROPN
ejpam-6304	210	3	+	+	PROPN
ejpam-6304	210	4	ϖ0)(ϖ	ϖ0)(ϖ	PROPN
ejpam-6304	210	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	210	6	)	)	PUNCT
ejpam-6304	211	1	∥∥	∥∥	PROPN
ejpam-6304	211	2	≤	≤	NUM
ejpam-6304	211	3	δ∥∥(ϖ	δ∥∥(ϖ	PUNCT
ejpam-6304	212	1	−ϖ0)(ϖ	−ϖ0)(ϖ	DET
ejpam-6304	212	2	2	2	NUM
ejpam-6304	212	3	+	+	NOUN
ejpam-6304	212	4	ϖξ0	ϖξ0	NOUN
ejpam-6304	212	5	+	+	ADJ
ejpam-6304	212	6	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	212	7	+	+	ADJ
ejpam-6304	212	8	ϖξ20	ϖξ20	PROPN
ejpam-6304	212	9	∥∥	∥∥	PUNCT
ejpam-6304	212	10	∥1	∥1	DET
ejpam-6304	212	11	+	+	ADJ
ejpam-6304	212	12	ϖ	ϖ	X
ejpam-6304	212	13	+	+	ADJ
ejpam-6304	212	14	ϖ0	ϖ0	NOUN
ejpam-6304	212	15	+	+	NOUN
ejpam-6304	212	16	ϖξ0∥+	ϖξ0∥+	PROPN
ejpam-6304	212	17	∥∥(ϖ	∥∥(ϖ	ADJ
ejpam-6304	212	18	−ϖ0)(ϖ2	−ϖ0)(ϖ2	PUNCT
ejpam-6304	213	1	+	+	NOUN
ejpam-6304	213	2	ϖξ0	ϖξ0	NOUN
ejpam-6304	213	3	+	+	ADJ
ejpam-6304	213	4	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	213	5	+	+	ADJ
ejpam-6304	213	6	ϖξ20	ϖξ20	PROPN
ejpam-6304	213	7	)	)	PUNCT
ejpam-6304	214	1	∥∥	∥∥	PROPN
ejpam-6304	214	2	≤	≤	NUM
ejpam-6304	215	1	δ	δ	PROPN
ejpam-6304	215	2	∥ϖ	∥ϖ	PROPN
ejpam-6304	215	3	−ϖ0∥	−ϖ0∥	ADJ
ejpam-6304	215	4	∥∥(ϖ2	∥∥(ϖ2	NOUN
ejpam-6304	215	5	+	+	NOUN
ejpam-6304	215	6	ϖξ0	ϖξ0	NOUN
ejpam-6304	215	7	+	+	ADJ
ejpam-6304	215	8	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	215	9	+	+	ADJ
ejpam-6304	215	10	ϖξ20	ϖξ20	PROPN
ejpam-6304	215	11	)	)	PUNCT
ejpam-6304	215	12	∥∥	∥∥	X
ejpam-6304	216	1	∥1	∥1	PRON
ejpam-6304	216	2	+	+	ADJ
ejpam-6304	216	3	ϖ	ϖ	X
ejpam-6304	216	4	+	+	ADJ
ejpam-6304	216	5	ϖ0	ϖ0	NOUN
ejpam-6304	216	6	+	+	NOUN
ejpam-6304	216	7	ϖξ0∥+	ϖξ0∥+	PROPN
ejpam-6304	216	8	∥ϖ	∥ϖ	PROPN
ejpam-6304	216	9	−ϖ0∥	−ϖ0∥	ADJ
ejpam-6304	216	10	∥∥(ϖ2	∥∥(ϖ2	NOUN
ejpam-6304	216	11	+	+	NOUN
ejpam-6304	216	12	ϖξ0	ϖξ0	NOUN
ejpam-6304	216	13	+	+	ADJ
ejpam-6304	216	14	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	216	15	+	+	ADJ
ejpam-6304	216	16	ϖξ20	ϖξ20	PROPN
ejpam-6304	216	17	)	)	PUNCT
ejpam-6304	217	1	∥∥	∥∥	PROPN
ejpam-6304	218	1	≤	≤	NUM
ejpam-6304	218	2	δ	δ	PROPN
ejpam-6304	218	3	∥(ϖ	∥(ϖ	NOUN
ejpam-6304	218	4	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	218	5	ϵ	ϵ	PROPN
ejpam-6304	218	6	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	218	7	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	218	8	+	+	CCONJ
ejpam-6304	218	9	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	219	1	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	219	2	≤	≤	PROPN
ejpam-6304	219	3	δ	δ	X
ejpam-6304	219	4	δ	δ	PROPN
ejpam-6304	220	1	ϵ	ϵ	ADP
ejpam-6304	220	2	∥1	∥1	PRON
ejpam-6304	220	3	+	+	NOUN
ejpam-6304	220	4	ϖ	ϖ	X
ejpam-6304	220	5	+	+	ADJ
ejpam-6304	220	6	ϖ0	ϖ0	NOUN
ejpam-6304	220	7	+	+	NOUN
ejpam-6304	220	8	ϖξ0∥∥∥(ϖ2	ϖξ0∥∥∥(ϖ2	NOUN
ejpam-6304	220	9	+	+	NOUN
ejpam-6304	220	10	ϖξ0	ϖξ0	NOUN
ejpam-6304	220	11	+	+	ADJ
ejpam-6304	220	12	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	220	13	+	+	ADJ
ejpam-6304	220	14	ϖξ20	ϖξ20	PROPN
ejpam-6304	220	15	∥∥	∥∥	PUNCT
ejpam-6304	220	16	+	+	NUM
ejpam-6304	220	17	δ	δ	PROPN
ejpam-6304	220	18	∥(ϖ	∥(ϖ	X
ejpam-6304	220	19	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	220	20	≤	≤	PROPN
ejpam-6304	220	21	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	220	22	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	220	23	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	220	24	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	220	25	(	(	PUNCT
ejpam-6304	220	26	1−	1−	NUM
ejpam-6304	220	27	δ	δ	PROPN
ejpam-6304	220	28	)	)	PUNCT
ejpam-6304	220	29	≤	≤	PUNCT
ejpam-6304	220	30	δϵ	δϵ	ADP
ejpam-6304	220	31	∥1	∥1	PRON
ejpam-6304	220	32	+	+	NOUN
ejpam-6304	220	33	ϖ	ϖ	X
ejpam-6304	220	34	+	+	ADJ
ejpam-6304	220	35	ϖ0	ϖ0	NOUN
ejpam-6304	220	36	+	+	NOUN
ejpam-6304	220	37	ϖξ0∥∥∥(ϖ2	ϖξ0∥∥∥(ϖ2	NOUN
ejpam-6304	220	38	+	+	NOUN
ejpam-6304	220	39	ϖξ0	ϖξ0	NOUN
ejpam-6304	220	40	+	+	ADJ
ejpam-6304	220	41	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	220	42	+	+	ADJ
ejpam-6304	220	43	ϖξ20	ϖξ20	PROPN
ejpam-6304	220	44	)	)	PUNCT
ejpam-6304	221	1	∥∥	∥∥	PROPN
ejpam-6304	221	2	≤	≤	PROPN
ejpam-6304	221	3	δ.ϵ	δ.ϵ	PROPN
ejpam-6304	221	4	,	,	PUNCT
ejpam-6304	221	5	pandiselvi	pandiselvi	ADJ
ejpam-6304	221	6	.	.	PUNCT
ejpam-6304	222	1	m	m	PROPN
ejpam-6304	222	2	,	,	PUNCT
ejpam-6304	222	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	222	4	.	.	PUNCT
ejpam-6304	223	1	m	m	PROPN
ejpam-6304	223	2	andmohammad	andmohammad	PROPN
ejpam-6304	223	3	akram	akram	PROPN
ejpam-6304	223	4	/	/	PUNCT
ejpam-6304	223	5	eur	eur	PROPN
ejpam-6304	223	6	.	.	PUNCT
ejpam-6304	224	1	j.	j.	PROPN
ejpam-6304	224	2	pure	pure	PROPN
ejpam-6304	224	3	appl	appl	PROPN
ejpam-6304	224	4	.	.	PROPN
ejpam-6304	224	5	math	math	PROPN
ejpam-6304	224	6	,	,	PUNCT
ejpam-6304	224	7	18	18	NUM
ejpam-6304	224	8	(	(	PUNCT
ejpam-6304	224	9	3	3	NUM
ejpam-6304	224	10	)	)	PUNCT
ejpam-6304	224	11	(	(	PUNCT
ejpam-6304	224	12	2025	2025	NUM
ejpam-6304	224	13	)	)	PUNCT
ejpam-6304	224	14	,	,	PUNCT
ejpam-6304	224	15	6304	6304	NUM
ejpam-6304	224	16	9	9	NUM
ejpam-6304	224	17	of	of	ADP
ejpam-6304	224	18	15	15	NUM
ejpam-6304	224	19	since	since	SCONJ
ejpam-6304	224	20	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	224	21	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	224	22	≤	≤	ADV
ejpam-6304	224	23	1	1	NUM
ejpam-6304	224	24	.	.	PUNCT
ejpam-6304	225	1	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	226	1	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	226	2	−	−	PROPN
ejpam-6304	226	3	δ	δ	PROPN
ejpam-6304	226	4	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	226	5	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	226	6	≤	≤	PROPN
ejpam-6304	226	7	δγ	δγ	PROPN
ejpam-6304	226	8	,	,	PUNCT
ejpam-6304	226	9	by	by	ADP
ejpam-6304	226	10	taking	take	VERB
ejpam-6304	226	11	ϵ	ϵ	X
ejpam-6304	226	12	=	=	PUNCT
ejpam-6304	226	13	γ	γ	X
ejpam-6304	226	14	⇒	⇒	PROPN
ejpam-6304	226	15	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	226	16	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	226	17	≤	≤	PROPN
ejpam-6304	226	18	δ(γ	δ(γ	PROPN
ejpam-6304	226	19	+	+	NUM
ejpam-6304	226	20	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	226	21	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	226	22	)	)	PUNCT
ejpam-6304	226	23	∥(ϖ−ϖ0)∥	∥(ϖ−ϖ0)∥	PROPN
ejpam-6304	226	24	γ+∥(ϖ−ϖ0)∥	γ+∥(ϖ−ϖ0)∥	NUM
ejpam-6304	227	1	≤	≤	NUM
ejpam-6304	227	2	δ	δ	PROPN
ejpam-6304	227	3	⇒	⇒	VERB
ejpam-6304	227	4	ρ(ϖ	ρ(ϖ	PROPN
ejpam-6304	227	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	227	6	,	,	PUNCT
ejpam-6304	227	7	γ	γ	NOUN
ejpam-6304	227	8	)	)	PUNCT
ejpam-6304	227	9	≤	≤	NUM
ejpam-6304	227	10	δ	δ	PROPN
ejpam-6304	227	11	.	.	PUNCT
ejpam-6304	228	1	ς(υ(ϖ)−υ(ϖ0	ς(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	228	2	)	)	PUNCT
ejpam-6304	228	3	,	,	PUNCT
ejpam-6304	228	4	ϵ	ϵ	X
ejpam-6304	228	5	)	)	PUNCT
ejpam-6304	228	6	≤	≤	NUM
ejpam-6304	228	7	δ	δ	PROPN
ejpam-6304	228	8	⇒	⇒	NOUN
ejpam-6304	228	9	∥υ(ϖ)−υ(ϖ0)∥	∥υ(ϖ)−υ(ϖ0)∥	NOUN
ejpam-6304	229	1	ϵ	ϵ	X
ejpam-6304	229	2	≤	≤	X
ejpam-6304	229	3	δ	δ	PROPN
ejpam-6304	229	4	⇒	⇒	NOUN
ejpam-6304	229	5	∥∥∥	∥∥∥	PROPN
ejpam-6304	229	6	ϖ3	ϖ3	VERB
ejpam-6304	229	7	1+ϖ	1+ϖ	NUM
ejpam-6304	229	8	−	−	NOUN
ejpam-6304	229	9	ϖ3	ϖ3	VERB
ejpam-6304	229	10	0	0	NUM
ejpam-6304	229	11	1+ϖ0	1+ϖ0	NUM
ejpam-6304	229	12	)	)	PUNCT
ejpam-6304	229	13	∥∥∥	∥∥∥	PROPN
ejpam-6304	229	14	ϵ	ϵ	X
ejpam-6304	229	15	≤	≤	NUM
ejpam-6304	229	16	δ∥∥ϖ3	δ∥∥ϖ3	VERB
ejpam-6304	230	1	+	+	PROPN
ejpam-6304	230	2	ϖ0ϖ	ϖ0ϖ	PROPN
ejpam-6304	230	3	3	3	NUM
ejpam-6304	230	4	−ϖ3	−ϖ3	PROPN
ejpam-6304	230	5	0	0	NUM
ejpam-6304	230	6	−ϖξ30	−ϖξ30	NOUN
ejpam-6304	230	7	∥∥	∥∥	X
ejpam-6304	230	8	ϵ	ϵ	X
ejpam-6304	230	9	∥(1	∥(1	NOUN
ejpam-6304	230	10	+	+	NOUN
ejpam-6304	230	11	ϖ)(1	ϖ)(1	X
ejpam-6304	231	1	+	+	ADJ
ejpam-6304	231	2	ϖ0)∥	ϖ0)∥	PROPN
ejpam-6304	231	3	≤	≤	NUM
ejpam-6304	231	4	δ∥∥(ϖ	δ∥∥(ϖ	PUNCT
ejpam-6304	232	1	−ϖ0)(ϖ	−ϖ0)(ϖ	DET
ejpam-6304	232	2	2	2	NUM
ejpam-6304	232	3	+	+	NOUN
ejpam-6304	232	4	ϖξ0	ϖξ0	NOUN
ejpam-6304	232	5	+	+	NOUN
ejpam-6304	232	6	ϖ2	ϖ2	NOUN
ejpam-6304	232	7	0	0	NUM
ejpam-6304	232	8	)	)	PUNCT
ejpam-6304	233	1	+	+	PROPN
ejpam-6304	233	2	ϖξ0(ϖ	ϖξ0(ϖ	PROPN
ejpam-6304	233	3	+	+	PROPN
ejpam-6304	233	4	ϖ0)(ϖ	ϖ0)(ϖ	PROPN
ejpam-6304	233	5	−ϖ0	−ϖ0	NOUN
ejpam-6304	233	6	)	)	PUNCT
ejpam-6304	234	1	∥∥	∥∥	PROPN
ejpam-6304	235	1	ϵ	ϵ	ADP
ejpam-6304	235	2	∥1	∥1	PRON
ejpam-6304	235	3	+	+	NOUN
ejpam-6304	235	4	ϖ	ϖ	X
ejpam-6304	235	5	+	+	ADJ
ejpam-6304	235	6	ϖ0	ϖ0	NOUN
ejpam-6304	235	7	+	+	NOUN
ejpam-6304	235	8	ϖξ0∥	ϖξ0∥	NOUN
ejpam-6304	235	9	≤	≤	NOUN
ejpam-6304	235	10	δ∥∥(ϖ	δ∥∥(ϖ	PUNCT
ejpam-6304	236	1	−ϖ0)(ϖ	−ϖ0)(ϖ	DET
ejpam-6304	236	2	2	2	NUM
ejpam-6304	236	3	+	+	NOUN
ejpam-6304	236	4	ϖξ0	ϖξ0	NOUN
ejpam-6304	236	5	+	+	ADJ
ejpam-6304	236	6	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	236	7	+	+	ADJ
ejpam-6304	236	8	ϖξ20	ϖξ20	PROPN
ejpam-6304	236	9	∥∥	∥∥	PUNCT
ejpam-6304	236	10	ϵ	ϵ	ADP
ejpam-6304	236	11	∥1	∥1	PRON
ejpam-6304	236	12	+	+	NOUN
ejpam-6304	236	13	ϖ	ϖ	X
ejpam-6304	236	14	+	+	ADJ
ejpam-6304	236	15	ϖ0	ϖ0	NOUN
ejpam-6304	236	16	+	+	NOUN
ejpam-6304	236	17	ϖξ0∥	ϖξ0∥	NOUN
ejpam-6304	236	18	≤	≤	PUNCT
ejpam-6304	236	19	δ	δ	PROPN
ejpam-6304	236	20	∥ϖ	∥ϖ	PROPN
ejpam-6304	236	21	−ϖ0∥	−ϖ0∥	ADJ
ejpam-6304	236	22	∥∥(ϖ2	∥∥(ϖ2	NOUN
ejpam-6304	236	23	+	+	NOUN
ejpam-6304	236	24	ϖξ0	ϖξ0	NOUN
ejpam-6304	236	25	+	+	ADJ
ejpam-6304	236	26	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	236	27	+	+	ADJ
ejpam-6304	236	28	ϖξ20	ϖξ20	PROPN
ejpam-6304	236	29	)	)	PUNCT
ejpam-6304	236	30	∥∥	∥∥	PROPN
ejpam-6304	237	1	ϵ	ϵ	ADP
ejpam-6304	237	2	∥1	∥1	PRON
ejpam-6304	237	3	+	+	NOUN
ejpam-6304	237	4	ϖ	ϖ	X
ejpam-6304	237	5	+	+	ADJ
ejpam-6304	237	6	ϖ0	ϖ0	NOUN
ejpam-6304	237	7	+	+	NOUN
ejpam-6304	237	8	ϖξ0∥	ϖξ0∥	NOUN
ejpam-6304	237	9	≤	≤	PUNCT
ejpam-6304	238	1	δ	δ	PROPN
ejpam-6304	238	2	∥(ϖ	∥(ϖ	X
ejpam-6304	238	3	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	238	4	ϵ	ϵ	PROPN
ejpam-6304	238	5	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	238	6	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	238	7	≤	≤	PUNCT
ejpam-6304	239	1	δ	δ	PROPN
ejpam-6304	239	2	δ	δ	PROPN
ejpam-6304	240	1	ϵ	ϵ	ADP
ejpam-6304	240	2	∥1	∥1	PRON
ejpam-6304	240	3	+	+	NOUN
ejpam-6304	240	4	ϖ	ϖ	X
ejpam-6304	240	5	+	+	ADJ
ejpam-6304	240	6	ϖ0	ϖ0	NOUN
ejpam-6304	240	7	+	+	NOUN
ejpam-6304	240	8	ϖξ0∥∥∥(ϖ2	ϖξ0∥∥∥(ϖ2	NOUN
ejpam-6304	240	9	+	+	NOUN
ejpam-6304	240	10	ϖξ0	ϖξ0	NOUN
ejpam-6304	240	11	+	+	ADJ
ejpam-6304	240	12	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	240	13	+	+	ADJ
ejpam-6304	240	14	ϖξ20	ϖξ20	PROPN
ejpam-6304	240	15	∥∥	∥∥	PUNCT
ejpam-6304	240	16	+	+	NUM
ejpam-6304	240	17	δ	δ	PROPN
ejpam-6304	240	18	∥(ϖ	∥(ϖ	X
ejpam-6304	240	19	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	240	20	≤	≤	PROPN
ejpam-6304	240	21	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	240	22	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	240	23	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	240	24	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	240	25	δ	δ	PROPN
ejpam-6304	240	26	≤	≤	X
ejpam-6304	240	27	δϵ	δϵ	ADP
ejpam-6304	240	28	∥1	∥1	PRON
ejpam-6304	240	29	+	+	NOUN
ejpam-6304	240	30	ϖ	ϖ	X
ejpam-6304	240	31	+	+	ADJ
ejpam-6304	240	32	ϖ0	ϖ0	NOUN
ejpam-6304	240	33	+	+	NOUN
ejpam-6304	240	34	ϖξ0∥∥∥(ϖ2	ϖξ0∥∥∥(ϖ2	NOUN
ejpam-6304	240	35	+	+	NOUN
ejpam-6304	240	36	ϖξ0	ϖξ0	NOUN
ejpam-6304	240	37	+	+	ADJ
ejpam-6304	240	38	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	240	39	+	+	ADJ
ejpam-6304	240	40	ϖξ20	ϖξ20	PROPN
ejpam-6304	240	41	)	)	PUNCT
ejpam-6304	240	42	∥∥	∥∥	PROPN
ejpam-6304	240	43	≤	≤	PROPN
ejpam-6304	241	1	δ.ϵ	δ.ϵ	PROPN
ejpam-6304	241	2	,	,	PUNCT
ejpam-6304	241	3	since	since	SCONJ
ejpam-6304	241	4	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	241	5	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)|	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)|	PROPN
ejpam-6304	241	6	≤	≤	NOUN
ejpam-6304	241	7	1	1	NUM
ejpam-6304	241	8	.	.	PUNCT
ejpam-6304	242	1	⇒	⇒	PROPN
ejpam-6304	242	2	δ	δ	PROPN
ejpam-6304	242	3	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	242	4	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	242	5	≤	≤	PROPN
ejpam-6304	242	6	δγ	δγ	PROPN
ejpam-6304	242	7	,	,	PUNCT
ejpam-6304	242	8	by	by	ADP
ejpam-6304	242	9	taking	take	VERB
ejpam-6304	242	10	ϵ	ϵ	X
ejpam-6304	242	11	=	=	PUNCT
ejpam-6304	242	12	γ	γ	X
ejpam-6304	242	13	⇒	⇒	PROPN
ejpam-6304	242	14	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	242	15	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	242	16	≤	≤	PROPN
ejpam-6304	242	17	δγ	δγ	PROPN
ejpam-6304	242	18	∥(ϖ−ϖ0)∥	∥(ϖ−ϖ0)∥	PROPN
ejpam-6304	242	19	γ	γ	PROPN
ejpam-6304	242	20	≤	≤	NUM
ejpam-6304	242	21	δ	δ	PROPN
ejpam-6304	242	22	⇒	⇒	VERB
ejpam-6304	242	23	ς(ϖ	ς(ϖ	PROPN
ejpam-6304	242	24	−ϖ0	−ϖ0	PROPN
ejpam-6304	242	25	,	,	PUNCT
ejpam-6304	242	26	γ	γ	NOUN
ejpam-6304	242	27	)	)	PUNCT
ejpam-6304	242	28	≤	≤	NUM
ejpam-6304	242	29	δ	δ	PROPN
ejpam-6304	242	30	.	.	PUNCT
ejpam-6304	243	1	thus	thus	ADV
ejpam-6304	243	2	for	for	ADP
ejpam-6304	243	3	every	every	DET
ejpam-6304	243	4	η(υ(ϖ)−υ(ϖ0	η(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	243	5	)	)	PUNCT
ejpam-6304	243	6	,	,	PUNCT
ejpam-6304	243	7	ϵ	ϵ	X
ejpam-6304	243	8	)	)	PUNCT
ejpam-6304	243	9	≥	≥	NOUN
ejpam-6304	243	10	η(ϖ	η(ϖ	PROPN
ejpam-6304	243	11	−ϖ0	−ϖ0	PROPN
ejpam-6304	243	12	,	,	PUNCT
ejpam-6304	243	13	γ	γ	NOUN
ejpam-6304	243	14	)	)	PUNCT
ejpam-6304	243	15	ϵ	ϵ	PROPN
ejpam-6304	243	16	ϵ+	ϵ+	X
ejpam-6304	243	17	∥∥∥	∥∥∥	PROPN
ejpam-6304	243	18	ϖ3	ϖ3	VERB
ejpam-6304	243	19	1+ϖ	1+ϖ	NUM
ejpam-6304	243	20	−	−	NOUN
ejpam-6304	243	21	ϖ3	ϖ3	VERB
ejpam-6304	243	22	0	0	NUM
ejpam-6304	243	23	1+ϖ0	1+ϖ0	NUM
ejpam-6304	243	24	∥∥∥	∥∥∥	PROPN
ejpam-6304	243	25	≥	≥	PROPN
ejpam-6304	243	26	δ	δ	PROPN
ejpam-6304	243	27	δ	δ	PROPN
ejpam-6304	243	28	+	+	CCONJ
ejpam-6304	243	29	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	243	30	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	243	31	ϵ	ϵ	PROPN
ejpam-6304	243	32	ϵ+	ϵ+	X
ejpam-6304	243	33	∥(ϖ3+ϖ3ϖ0−ϖ3	∥(ϖ3+ϖ3ϖ0−ϖ3	NOUN
ejpam-6304	243	34	0−ϖξ30)∥	0−ϖξ30)∥	NOUN
ejpam-6304	243	35	∥(1+ϖ)(1+ϖ0)∥	∥(1+ϖ)(1+ϖ0)∥	NOUN
ejpam-6304	243	36	≥	≥	PROPN
ejpam-6304	243	37	γ	γ	PROPN
ejpam-6304	243	38	γ	γ	X
ejpam-6304	243	39	+	+	PROPN
ejpam-6304	243	40	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	243	41	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	243	42	ϵ	ϵ	X
ejpam-6304	243	43	∥(ϖ	∥(ϖ	X
ejpam-6304	243	44	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	244	1	∥1	∥1	DET
ejpam-6304	244	2	+	+	NOUN
ejpam-6304	244	3	ϖ	ϖ	X
ejpam-6304	244	4	+	+	ADJ
ejpam-6304	244	5	ϖ0	ϖ0	NOUN
ejpam-6304	244	6	+	+	NOUN
ejpam-6304	244	7	ϖξ0∥	ϖξ0∥	NOUN
ejpam-6304	244	8	≥	≥	NOUN
ejpam-6304	244	9	γ	γ	PROPN
ejpam-6304	244	10	∥(ϖ	∥(ϖ	PROPN
ejpam-6304	244	11	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	244	12	∥∥(ϖ2	∥∥(ϖ2	PROPN
ejpam-6304	244	13	+	+	NOUN
ejpam-6304	244	14	ϖξ0	ϖξ0	NOUN
ejpam-6304	244	15	+	+	ADJ
ejpam-6304	244	16	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	244	17	+	+	ADJ
ejpam-6304	244	18	ϖξ20	ϖξ20	PROPN
ejpam-6304	244	19	)	)	PUNCT
ejpam-6304	245	1	∥∥	∥∥	PROPN
ejpam-6304	245	2	γ	γ	PROPN
ejpam-6304	245	3	≤	≤	PROPN
ejpam-6304	245	4	ϵ	ϵ	ADP
ejpam-6304	245	5	∥1	∥1	PRON
ejpam-6304	245	6	+	+	ADJ
ejpam-6304	245	7	ϖ	ϖ	X
ejpam-6304	245	8	+	+	ADJ
ejpam-6304	245	9	ϖ0	ϖ0	NOUN
ejpam-6304	245	10	+	+	NOUN
ejpam-6304	245	11	ϖξ0∥∥∥(ϖ2	ϖξ0∥∥∥(ϖ2	NOUN
ejpam-6304	245	12	+	+	NOUN
ejpam-6304	245	13	ϖξ0	ϖξ0	NOUN
ejpam-6304	245	14	+	+	ADJ
ejpam-6304	245	15	ϖ2ϖ0	ϖ2ϖ0	PROPN
ejpam-6304	245	16	+	+	ADJ
ejpam-6304	245	17	ϖξ20	ϖξ20	PROPN
ejpam-6304	245	18	∥∥	∥∥	X
ejpam-6304	245	19	.	.	PUNCT
ejpam-6304	246	1	now	now	ADV
ejpam-6304	246	2	inf	inf	PROPN
ejpam-6304	246	3	{	{	PUNCT
ejpam-6304	246	4	∥1+ϖ+ϖ0+ϖξ0∥	∥1+ϖ+ϖ0+ϖξ0∥	PROPN
ejpam-6304	246	5	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	∥(ϖ2+ϖξ0+ϖ2ϖ0+ϖξ20)∥	PROPN
ejpam-6304	246	6	}	}	PUNCT
ejpam-6304	246	7	=	=	SYM
ejpam-6304	246	8	0	0	NUM
ejpam-6304	246	9	,	,	PUNCT
ejpam-6304	246	10	for	for	ADP
ejpam-6304	246	11	all	all	PRON
ejpam-6304	246	12	ϖ	ϖ	PROPN
ejpam-6304	246	13	∈	∈	PROPN
ejpam-6304	246	14	f.	f.	PROPN
ejpam-6304	246	15	therefore	therefore	ADV
ejpam-6304	246	16	,	,	PUNCT
ejpam-6304	246	17	γ	γ	X
ejpam-6304	246	18	=	=	SYM
ejpam-6304	246	19	0	0	NUM
ejpam-6304	246	20	,	,	PUNCT
ejpam-6304	246	21	which	which	PRON
ejpam-6304	246	22	is	be	AUX
ejpam-6304	246	23	not	not	PART
ejpam-6304	246	24	possible	possible	ADJ
ejpam-6304	246	25	.	.	PUNCT
ejpam-6304	247	1	this	this	PRON
ejpam-6304	247	2	shows	show	VERB
ejpam-6304	247	3	that	that	SCONJ
ejpam-6304	247	4	υ	υ	NOUN
ejpam-6304	247	5	is	be	AUX
ejpam-6304	247	6	not	not	PART
ejpam-6304	247	7	strongly	strongly	ADV
ejpam-6304	247	8	neutrosophic	neutrosophic	ADJ
ejpam-6304	247	9	continuous	continuous	ADJ
ejpam-6304	247	10	.	.	PUNCT
ejpam-6304	248	1	pandiselvi	pandiselvi	PROPN
ejpam-6304	248	2	.	.	PUNCT
ejpam-6304	249	1	m	m	PROPN
ejpam-6304	249	2	,	,	PUNCT
ejpam-6304	249	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	249	4	.	.	PUNCT
ejpam-6304	250	1	m	m	PROPN
ejpam-6304	250	2	andmohammad	andmohammad	PROPN
ejpam-6304	250	3	akram	akram	PROPN
ejpam-6304	250	4	/	/	PUNCT
ejpam-6304	250	5	eur	eur	PROPN
ejpam-6304	250	6	.	.	PUNCT
ejpam-6304	251	1	j.	j.	PROPN
ejpam-6304	251	2	pure	pure	PROPN
ejpam-6304	251	3	appl	appl	PROPN
ejpam-6304	251	4	.	.	PROPN
ejpam-6304	251	5	math	math	PROPN
ejpam-6304	251	6	,	,	PUNCT
ejpam-6304	251	7	18	18	NUM
ejpam-6304	251	8	(	(	PUNCT
ejpam-6304	251	9	3	3	NUM
ejpam-6304	251	10	)	)	PUNCT
ejpam-6304	251	11	(	(	PUNCT
ejpam-6304	251	12	2025	2025	NUM
ejpam-6304	251	13	)	)	PUNCT
ejpam-6304	251	14	,	,	PUNCT
ejpam-6304	251	15	6304	6304	NUM
ejpam-6304	251	16	10	10	NUM
ejpam-6304	251	17	of	of	ADP
ejpam-6304	251	18	15	15	NUM
ejpam-6304	251	19	theorem	theorem	NOUN
ejpam-6304	251	20	8	8	NUM
ejpam-6304	251	21	.	.	PUNCT
ejpam-6304	252	1	if	if	SCONJ
ejpam-6304	252	2	a	a	DET
ejpam-6304	252	3	linear	linear	ADJ
ejpam-6304	252	4	operator	operator	NOUN
ejpam-6304	252	5	υ	υ	NOUN
ejpam-6304	252	6	:	:	PUNCT
ejpam-6304	252	7	(	(	PUNCT
ejpam-6304	252	8	f	f	X
ejpam-6304	252	9	,	,	PUNCT
ejpam-6304	252	10	η1	η1	NOUN
ejpam-6304	252	11	,	,	PUNCT
ejpam-6304	252	12	ρ1	ρ1	NOUN
ejpam-6304	252	13	,	,	PUNCT
ejpam-6304	252	14	ς1	ς1	NOUN
ejpam-6304	252	15	)	)	PUNCT
ejpam-6304	252	16	→	→	SYM
ejpam-6304	252	17	(	(	PUNCT
ejpam-6304	252	18	g	g	NOUN
ejpam-6304	252	19	,	,	PUNCT
ejpam-6304	252	20	η2	η2	NOUN
ejpam-6304	252	21	,	,	PUNCT
ejpam-6304	252	22	ρ2	ρ2	NOUN
ejpam-6304	252	23	,	,	PUNCT
ejpam-6304	252	24	ς2	ς2	PROPN
ejpam-6304	252	25	)	)	PUNCT
ejpam-6304	252	26	is	be	AUX
ejpam-6304	252	27	strongly	strongly	ADV
ejpam-6304	252	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	252	29	continuous	continuous	ADJ
ejpam-6304	252	30	then	then	ADV
ejpam-6304	252	31	it	it	PRON
ejpam-6304	252	32	is	be	AUX
ejpam-6304	252	33	sequentially	sequentially	ADV
ejpam-6304	252	34	neutrosophic	neutrosophic	ADJ
ejpam-6304	252	35	continuous	continuous	ADJ
ejpam-6304	252	36	,	,	PUNCT
ejpam-6304	252	37	where	where	SCONJ
ejpam-6304	252	38	(	(	PUNCT
ejpam-6304	252	39	f	f	X
ejpam-6304	252	40	,	,	PUNCT
ejpam-6304	252	41	η1	η1	NOUN
ejpam-6304	252	42	,	,	PUNCT
ejpam-6304	252	43	ρ1	ρ1	NOUN
ejpam-6304	252	44	,	,	PUNCT
ejpam-6304	252	45	ς1	ς1	NOUN
ejpam-6304	252	46	)	)	PUNCT
ejpam-6304	252	47	and	and	CCONJ
ejpam-6304	252	48	(	(	PUNCT
ejpam-6304	252	49	g	g	NOUN
ejpam-6304	252	50	,	,	PUNCT
ejpam-6304	252	51	η2	η2	NOUN
ejpam-6304	252	52	,	,	PUNCT
ejpam-6304	252	53	ρ2	ρ2	NOUN
ejpam-6304	252	54	,	,	PUNCT
ejpam-6304	252	55	ς2	ς2	PROPN
ejpam-6304	252	56	)	)	PUNCT
ejpam-6304	252	57	are	be	AUX
ejpam-6304	252	58	npnls	npnls	NOUN
ejpam-6304	252	59	.	.	PUNCT
ejpam-6304	253	1	proof	proof	NOUN
ejpam-6304	253	2	.	.	PUNCT
ejpam-6304	254	1	let	let	VERB
ejpam-6304	254	2	{	{	PUNCT
ejpam-6304	254	3	ϖn	ϖn	AUX
ejpam-6304	254	4	}	}	PUNCT
ejpam-6304	254	5	be	be	AUX
ejpam-6304	254	6	a	a	DET
ejpam-6304	254	7	sequence	sequence	NOUN
ejpam-6304	254	8	in	in	ADP
ejpam-6304	254	9	f	f	PROPN
ejpam-6304	254	10	and	and	CCONJ
ejpam-6304	254	11	ϖn	ϖn	NOUN
ejpam-6304	254	12	→	→	SYM
ejpam-6304	254	13	ϖ0	ϖ0	NOUN
ejpam-6304	254	14	.	.	PUNCT
ejpam-6304	255	1	lim	lim	PROPN
ejpam-6304	255	2	n→∞	n→∞	PRON
ejpam-6304	255	3	η1(ϖn	η1(ϖn	PROPN
ejpam-6304	255	4	−	−	PROPN
ejpam-6304	255	5	ϖ0	ϖ0	NOUN
ejpam-6304	255	6	,	,	PUNCT
ejpam-6304	255	7	φ	φ	NUM
ejpam-6304	255	8	)	)	PUNCT
ejpam-6304	255	9	=	=	SYM
ejpam-6304	255	10	1	1	NUM
ejpam-6304	255	11	,	,	PUNCT
ejpam-6304	255	12	lim	lim	PROPN
ejpam-6304	255	13	n→∞	n→∞	X
ejpam-6304	255	14	ρ1(ϖn	ρ1(ϖn	PROPN
ejpam-6304	255	15	−	−	NOUN
ejpam-6304	255	16	ϖ0	ϖ0	NOUN
ejpam-6304	255	17	,	,	PUNCT
ejpam-6304	255	18	φ	φ	NUM
ejpam-6304	255	19	)	)	PUNCT
ejpam-6304	255	20	=	=	SYM
ejpam-6304	255	21	0	0	NUM
ejpam-6304	255	22	and	and	CCONJ
ejpam-6304	255	23	lim	lim	PROPN
ejpam-6304	255	24	n→∞	n→∞	NOUN
ejpam-6304	256	1	ς1(ϖn	ς1(ϖn	PROPN
ejpam-6304	256	2	−	−	PROPN
ejpam-6304	256	3	ϖ0	ϖ0	NOUN
ejpam-6304	256	4	,	,	PUNCT
ejpam-6304	256	5	φ	φ	NUM
ejpam-6304	256	6	)	)	PUNCT
ejpam-6304	256	7	=	=	SYM
ejpam-6304	256	8	0	0	NUM
ejpam-6304	256	9	for	for	ADP
ejpam-6304	256	10	all	all	DET
ejpam-6304	256	11	φ	φ	PROPN
ejpam-6304	256	12	>	>	X
ejpam-6304	256	13	0	0	PROPN
ejpam-6304	256	14	.	.	PUNCT
ejpam-6304	257	1	now	now	ADV
ejpam-6304	257	2	since	since	SCONJ
ejpam-6304	257	3	υ	υ	PROPN
ejpam-6304	257	4	is	be	AUX
ejpam-6304	257	5	strongly	strongly	ADV
ejpam-6304	257	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	257	7	continuous	continuous	ADJ
ejpam-6304	257	8	at	at	ADP
ejpam-6304	257	9	ϖ0	ϖ0	NOUN
ejpam-6304	257	10	∈	∈	PROPN
ejpam-6304	257	11	f.	f.	NOUN
ejpam-6304	257	12	then	then	ADV
ejpam-6304	257	13	for	for	ADP
ejpam-6304	257	14	any	any	DET
ejpam-6304	257	15	given	give	VERB
ejpam-6304	257	16	ϵ	ϵ	PROPN
ejpam-6304	257	17	>	>	X
ejpam-6304	257	18	0	0	NUM
ejpam-6304	257	19	,	,	PUNCT
ejpam-6304	257	20	there	there	PRON
ejpam-6304	257	21	exist	exist	VERB
ejpam-6304	257	22	γ	γ	X
ejpam-6304	257	23	=	=	SYM
ejpam-6304	257	24	γ(ϵ	γ(ϵ	PROPN
ejpam-6304	257	25	)	)	PUNCT
ejpam-6304	257	26	>	>	X
ejpam-6304	257	27	0	0	NUM
ejpam-6304	258	1	such	such	ADJ
ejpam-6304	258	2	that	that	PRON
ejpam-6304	258	3	for	for	ADP
ejpam-6304	258	4	all	all	DET
ejpam-6304	258	5	ϖ	ϖ	NOUN
ejpam-6304	258	6	∈	∈	PROPN
ejpam-6304	258	7	f	f	X
ejpam-6304	258	8	,	,	PUNCT
ejpam-6304	258	9	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	258	10	)	)	PUNCT
ejpam-6304	258	11	,	,	PUNCT
ejpam-6304	258	12	ϵ	ϵ	X
ejpam-6304	258	13	)	)	PUNCT
ejpam-6304	258	14	≥	≥	NOUN
ejpam-6304	258	15	η1(ϖ	η1(ϖ	NUM
ejpam-6304	258	16	−ϖ0	−ϖ0	PROPN
ejpam-6304	258	17	,	,	PUNCT
ejpam-6304	258	18	γ	γ	NOUN
ejpam-6304	258	19	)	)	PUNCT
ejpam-6304	258	20	,	,	PUNCT
ejpam-6304	258	21	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	258	22	)	)	PUNCT
ejpam-6304	258	23	,	,	PUNCT
ejpam-6304	258	24	ϵ	ϵ	X
ejpam-6304	258	25	)	)	PUNCT
ejpam-6304	258	26	≤	≤	NOUN
ejpam-6304	258	27	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	258	28	−ϖ0	−ϖ0	NOUN
ejpam-6304	258	29	,	,	PUNCT
ejpam-6304	258	30	γ	γ	NOUN
ejpam-6304	258	31	)	)	PUNCT
ejpam-6304	258	32	and	and	CCONJ
ejpam-6304	258	33	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	258	34	)	)	PUNCT
ejpam-6304	258	35	,	,	PUNCT
ejpam-6304	258	36	ϵ	ϵ	X
ejpam-6304	258	37	)	)	PUNCT
ejpam-6304	258	38	≤	≤	NOUN
ejpam-6304	258	39	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	258	40	−ϖ0	−ϖ0	NOUN
ejpam-6304	258	41	,	,	PUNCT
ejpam-6304	258	42	γ	γ	NOUN
ejpam-6304	258	43	)	)	PUNCT
ejpam-6304	258	44	.	.	PUNCT
ejpam-6304	259	1	lim	lim	PROPN
ejpam-6304	259	2	n→∞	n→∞	X
ejpam-6304	259	3	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	259	4	)	)	PUNCT
ejpam-6304	259	5	,	,	PUNCT
ejpam-6304	259	6	ϵ	ϵ	X
ejpam-6304	259	7	)	)	PUNCT
ejpam-6304	259	8	≥	≥	PROPN
ejpam-6304	259	9	lim	lim	PROPN
ejpam-6304	259	10	n→∞	n→∞	PRON
ejpam-6304	259	11	η1(ϖn	η1(ϖn	PROPN
ejpam-6304	259	12	−ϖ0	−ϖ0	PROPN
ejpam-6304	259	13	,	,	PUNCT
ejpam-6304	259	14	φ	φ	NUM
ejpam-6304	259	15	)	)	PUNCT
ejpam-6304	259	16	=	=	SYM
ejpam-6304	259	17	1	1	NUM
ejpam-6304	259	18	⇒	⇒	NOUN
ejpam-6304	259	19	lim	lim	PROPN
ejpam-6304	259	20	n→∞	n→∞	X
ejpam-6304	259	21	η2(υ(ϖ)−υ(ϖ0	η2(υ(ϖ)−υ(ϖ0	PROPN
ejpam-6304	259	22	)	)	PUNCT
ejpam-6304	259	23	,	,	PUNCT
ejpam-6304	259	24	ϵ	ϵ	X
ejpam-6304	259	25	)	)	PUNCT
ejpam-6304	259	26	=	=	SYM
ejpam-6304	259	27	1	1	NUM
ejpam-6304	259	28	lim	lim	NOUN
ejpam-6304	259	29	n→∞	n→∞	X
ejpam-6304	259	30	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	259	31	)	)	PUNCT
ejpam-6304	259	32	,	,	PUNCT
ejpam-6304	259	33	ϵ	ϵ	X
ejpam-6304	259	34	)	)	PUNCT
ejpam-6304	259	35	≤	≤	NOUN
ejpam-6304	259	36	lim	lim	PROPN
ejpam-6304	259	37	n→∞	n→∞	X
ejpam-6304	260	1	ρ1(ϖn	ρ1(ϖn	PROPN
ejpam-6304	260	2	−ϖ0	−ϖ0	PROPN
ejpam-6304	260	3	,	,	PUNCT
ejpam-6304	260	4	φ	φ	NUM
ejpam-6304	260	5	)	)	PUNCT
ejpam-6304	260	6	=	=	SYM
ejpam-6304	260	7	0	0	NUM
ejpam-6304	260	8	⇒	⇒	PROPN
ejpam-6304	260	9	lim	lim	PROPN
ejpam-6304	260	10	n→∞	n→∞	X
ejpam-6304	260	11	ρ2(υ(ϖ)−υ(ϖ0	ρ2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	260	12	)	)	PUNCT
ejpam-6304	260	13	,	,	PUNCT
ejpam-6304	260	14	ϵ	ϵ	X
ejpam-6304	260	15	)	)	PUNCT
ejpam-6304	260	16	=	=	SYM
ejpam-6304	260	17	0	0	NUM
ejpam-6304	261	1	lim	lim	PROPN
ejpam-6304	261	2	n→∞	n→∞	X
ejpam-6304	261	3	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	261	4	)	)	PUNCT
ejpam-6304	261	5	,	,	PUNCT
ejpam-6304	261	6	ϵ	ϵ	X
ejpam-6304	261	7	)	)	PUNCT
ejpam-6304	261	8	≤	≤	NOUN
ejpam-6304	261	9	lim	lim	PROPN
ejpam-6304	261	10	n→∞	n→∞	NOUN
ejpam-6304	262	1	ς1(ϖn	ς1(ϖn	PROPN
ejpam-6304	262	2	−ϖ0	−ϖ0	PROPN
ejpam-6304	262	3	,	,	PUNCT
ejpam-6304	262	4	φ	φ	NUM
ejpam-6304	262	5	)	)	PUNCT
ejpam-6304	262	6	=	=	SYM
ejpam-6304	262	7	0	0	NUM
ejpam-6304	262	8	⇒	⇒	PROPN
ejpam-6304	262	9	lim	lim	PROPN
ejpam-6304	262	10	n→∞	n→∞	X
ejpam-6304	262	11	ς2(υ(ϖ)−υ(ϖ0	ς2(υ(ϖ)−υ(ϖ0	NOUN
ejpam-6304	262	12	)	)	PUNCT
ejpam-6304	262	13	,	,	PUNCT
ejpam-6304	262	14	ϵ	ϵ	X
ejpam-6304	262	15	)	)	PUNCT
ejpam-6304	262	16	=	=	SYM
ejpam-6304	262	17	0	0	X
ejpam-6304	262	18	.	.	PUNCT
ejpam-6304	263	1	since	since	SCONJ
ejpam-6304	263	2	ϵ	ϵ	PROPN
ejpam-6304	263	3	is	be	AUX
ejpam-6304	263	4	arbitrary	arbitrary	ADJ
ejpam-6304	263	5	small	small	ADJ
ejpam-6304	263	6	positive	positive	ADJ
ejpam-6304	263	7	number	number	NOUN
ejpam-6304	263	8	,	,	PUNCT
ejpam-6304	263	9	υ	υ	PROPN
ejpam-6304	263	10	is	be	AUX
ejpam-6304	263	11	sequentially	sequentially	ADV
ejpam-6304	263	12	neutrosophic	neutrosophic	ADJ
ejpam-6304	263	13	continuous	continuous	ADJ
ejpam-6304	263	14	.	.	PUNCT
ejpam-6304	264	1	example	example	NOUN
ejpam-6304	264	2	2	2	NUM
ejpam-6304	264	3	.	.	X
ejpam-6304	265	1	consider	consider	VERB
ejpam-6304	265	2	the	the	DET
ejpam-6304	265	3	npnls	npnls	NOUN
ejpam-6304	265	4	(	(	PUNCT
ejpam-6304	265	5	f	f	PROPN
ejpam-6304	265	6	,	,	PUNCT
ejpam-6304	265	7	η	η	PROPN
ejpam-6304	265	8	,	,	PUNCT
ejpam-6304	265	9	ρ	ρ	PROPN
ejpam-6304	265	10	,	,	PUNCT
ejpam-6304	265	11	ς	ς	NOUN
ejpam-6304	265	12	)	)	PUNCT
ejpam-6304	265	13	as	as	ADP
ejpam-6304	265	14	in	in	ADP
ejpam-6304	265	15	example	example	NOUN
ejpam-6304	265	16	(	(	PUNCT
ejpam-6304	265	17	1	1	NUM
ejpam-6304	265	18	)	)	PUNCT
ejpam-6304	265	19	and	and	CCONJ
ejpam-6304	265	20	the	the	DET
ejpam-6304	265	21	linear	linear	ADJ
ejpam-6304	265	22	operator	operator	NOUN
ejpam-6304	265	23	υ	υ	NOUN
ejpam-6304	265	24	is	be	AUX
ejpam-6304	265	25	defined	define	VERB
ejpam-6304	265	26	by	by	ADP
ejpam-6304	265	27	υ(ϖ	υ(ϖ	NOUN
ejpam-6304	265	28	)	)	PUNCT
ejpam-6304	266	1	=	=	SYM
ejpam-6304	266	2	ϖ3	ϖ3	NOUN
ejpam-6304	266	3	1+ϖ	1+ϖ	NUM
ejpam-6304	266	4	.	.	PUNCT
ejpam-6304	267	1	let	let	AUX
ejpam-6304	267	2	{	{	PUNCT
ejpam-6304	267	3	ϖn	ϖn	AUX
ejpam-6304	267	4	}	}	PUNCT
ejpam-6304	267	5	be	be	AUX
ejpam-6304	267	6	a	a	DET
ejpam-6304	267	7	sequence	sequence	NOUN
ejpam-6304	267	8	in	in	ADP
ejpam-6304	267	9	f	f	PROPN
ejpam-6304	267	10	and	and	CCONJ
ejpam-6304	267	11	ϖn	ϖn	NOUN
ejpam-6304	267	12	→	→	SYM
ejpam-6304	267	13	ϖ0	ϖ0	NOUN
ejpam-6304	267	14	.	.	PUNCT
ejpam-6304	268	1	lim	lim	PROPN
ejpam-6304	268	2	n→∞	n→∞	PRON
ejpam-6304	268	3	η1(ϖn	η1(ϖn	PROPN
ejpam-6304	268	4	−ϖ0	−ϖ0	PROPN
ejpam-6304	268	5	,	,	PUNCT
ejpam-6304	268	6	φ	φ	NUM
ejpam-6304	268	7	)	)	PUNCT
ejpam-6304	268	8	=	=	SYM
ejpam-6304	268	9	1	1	NUM
ejpam-6304	268	10	,	,	PUNCT
ejpam-6304	268	11	lim	lim	PROPN
ejpam-6304	268	12	n→∞	n→∞	X
ejpam-6304	268	13	ρ1(ϖn	ρ1(ϖn	PROPN
ejpam-6304	268	14	−ϖ0	−ϖ0	PROPN
ejpam-6304	268	15	,	,	PUNCT
ejpam-6304	268	16	φ	φ	NUM
ejpam-6304	268	17	)	)	PUNCT
ejpam-6304	268	18	=	=	SYM
ejpam-6304	268	19	0	0	NUM
ejpam-6304	268	20	and	and	CCONJ
ejpam-6304	268	21	lim	lim	PROPN
ejpam-6304	268	22	n→∞	n→∞	NOUN
ejpam-6304	268	23	ς1(ϖn	ς1(ϖn	PROPN
ejpam-6304	268	24	−ϖ0	−ϖ0	PROPN
ejpam-6304	268	25	,	,	PUNCT
ejpam-6304	268	26	φ	φ	NUM
ejpam-6304	268	27	)	)	PUNCT
ejpam-6304	268	28	=	=	SYM
ejpam-6304	268	29	0	0	NUM
ejpam-6304	268	30	⇒	⇒	PROPN
ejpam-6304	268	31	lim	lim	PROPN
ejpam-6304	268	32	n→∞	n→∞	NUM
ejpam-6304	269	1	φ	φ	PROPN
ejpam-6304	269	2	φ+	φ+	PROPN
ejpam-6304	269	3	∥(ϖn	∥(ϖn	X
ejpam-6304	269	4	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	269	5	=	=	SYM
ejpam-6304	269	6	1	1	PROPN
ejpam-6304	269	7	,	,	PUNCT
ejpam-6304	269	8	lim	lim	PROPN
ejpam-6304	269	9	n→∞	n→∞	NUM
ejpam-6304	269	10	∥(ϖn	∥(ϖn	PROPN
ejpam-6304	269	11	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	269	12	φ+	φ+	NOUN
ejpam-6304	269	13	∥(ϖn	∥(ϖn	X
ejpam-6304	269	14	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	269	15	=	=	SYM
ejpam-6304	269	16	0	0	PROPN
ejpam-6304	269	17	and	and	CCONJ
ejpam-6304	269	18	lim	lim	PROPN
ejpam-6304	269	19	n→∞	n→∞	NUM
ejpam-6304	269	20	∥(ϖn	∥(ϖn	PROPN
ejpam-6304	269	21	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	269	22	φ	φ	X
ejpam-6304	269	23	=	=	SYM
ejpam-6304	269	24	0	0	PROPN
ejpam-6304	269	25	.	.	PUNCT
ejpam-6304	270	1	⇒	⇒	PROPN
ejpam-6304	270	2	lim	lim	PROPN
ejpam-6304	270	3	n→∞	n→∞	NUM
ejpam-6304	270	4	∥(ϖn	∥(ϖn	PROPN
ejpam-6304	270	5	−ϖ0)∥	−ϖ0)∥	PROPN
ejpam-6304	270	6	=	=	SYM
ejpam-6304	270	7	0	0	PROPN
ejpam-6304	270	8	(	(	PUNCT
ejpam-6304	270	9	3.1	3.1	NUM
ejpam-6304	270	10	)	)	PUNCT
ejpam-6304	270	11	η(υ(ϖn)−υ(ϖ0	η(υ(ϖn)−υ(ϖ0	NOUN
ejpam-6304	270	12	)	)	PUNCT
ejpam-6304	270	13	,	,	PUNCT
ejpam-6304	270	14	φ	φ	NUM
ejpam-6304	270	15	)	)	PUNCT
ejpam-6304	270	16	=	=	SYM
ejpam-6304	270	17	φ	φ	PROPN
ejpam-6304	270	18	φ+	φ+	X
ejpam-6304	270	19	∥∥∥∥	∥∥∥∥	PROPN
ejpam-6304	270	20	ϖ3	ϖ3	NOUN
ejpam-6304	270	21	n	n	CCONJ
ejpam-6304	270	22	1+ϖn	1+ϖn	NUM
ejpam-6304	270	23	−	−	PROPN
ejpam-6304	270	24	ϖ3	ϖ3	NOUN
ejpam-6304	270	25	0	0	NUM
ejpam-6304	270	26	1+ϖ0	1+ϖ0	NUM
ejpam-6304	270	27	∥∥∥∥	∥∥∥∥	NUM
ejpam-6304	270	28	=	=	SYM
ejpam-6304	270	29	φ	φ	PROPN
ejpam-6304	270	30	φ+	φ+	X
ejpam-6304	270	31	∥(ϖ3	∥(ϖ3	NOUN
ejpam-6304	270	32	n+ϖ3	n+ϖ3	NOUN
ejpam-6304	270	33	nϖ0−ϖ3	nϖ0−ϖ3	NOUN
ejpam-6304	270	34	0−ϖnϖ3	0−ϖnϖ3	NUM
ejpam-6304	270	35	0)∥	0)∥	NUM
ejpam-6304	270	36	∥(1+ϖn)(1+ϖ0)∥	∥(1+ϖn)(1+ϖ0)∥	NOUN
ejpam-6304	270	37	⇒	⇒	PROPN
ejpam-6304	270	38	φ∥(1+ϖn)(1+ϖ0)∥	φ∥(1+ϖn)(1+ϖ0)∥	PROPN
ejpam-6304	270	39	φ∥(1+ϖn)(1+ϖ0)∥+∥(ϖn−ϖ0)∥∥(ϖ2	φ∥(1+ϖn)(1+ϖ0)∥+∥(ϖn−ϖ0)∥∥(ϖ2	PROPN
ejpam-6304	270	40	n+ϖnϖ0+ϖ2	n+ϖnϖ0+ϖ2	ADV
ejpam-6304	270	41	nϖ0+ϖnϖ2	nϖ0+ϖnϖ2	PROPN
ejpam-6304	270	42	0)∥	0)∥	NUM
ejpam-6304	271	1	=	=	NOUN
ejpam-6304	271	2	1	1	NUM
ejpam-6304	271	3	as	as	ADP
ejpam-6304	271	4	n	n	NUM
ejpam-6304	271	5	→	→	SYM
ejpam-6304	271	6	∞	∞	NUM
ejpam-6304	271	7	by	by	ADP
ejpam-6304	271	8	equation	equation	NOUN
ejpam-6304	271	9	(	(	PUNCT
ejpam-6304	271	10	3.1	3.1	NUM
ejpam-6304	271	11	)	)	PUNCT
ejpam-6304	271	12	.	.	PUNCT
ejpam-6304	272	1	and	and	CCONJ
ejpam-6304	272	2	,	,	PUNCT
ejpam-6304	272	3	ρ(υ(ϖn)−υ(ϖ0	ρ(υ(ϖn)−υ(ϖ0	NOUN
ejpam-6304	272	4	)	)	PUNCT
ejpam-6304	272	5	,	,	PUNCT
ejpam-6304	272	6	φ	φ	NOUN
ejpam-6304	272	7	)	)	PUNCT
ejpam-6304	272	8	=	=	SYM
ejpam-6304	272	9	∥∥∥∥	∥∥∥∥	PROPN
ejpam-6304	272	10	ϖ3	ϖ3	NOUN
ejpam-6304	272	11	n	n	CCONJ
ejpam-6304	272	12	1+ϖn	1+ϖn	NUM
ejpam-6304	272	13	−	−	PROPN
ejpam-6304	272	14	ϖ3	ϖ3	NOUN
ejpam-6304	272	15	0	0	NUM
ejpam-6304	272	16	1+ϖ0	1+ϖ0	NUM
ejpam-6304	272	17	∥∥∥∥	∥∥∥∥	NUM
ejpam-6304	272	18	φ+	φ+	X
ejpam-6304	272	19	∥∥∥∥	∥∥∥∥	NOUN
ejpam-6304	273	1	ϖ3	ϖ3	NOUN
ejpam-6304	273	2	n	n	CCONJ
ejpam-6304	273	3	1+ϖn	1+ϖn	NUM
ejpam-6304	273	4	−	−	PROPN
ejpam-6304	273	5	ϖ3	ϖ3	NOUN
ejpam-6304	273	6	0	0	NUM
ejpam-6304	273	7	1+ϖ0	1+ϖ0	NUM
ejpam-6304	273	8	∥∥∥∥	∥∥∥∥	NUM
ejpam-6304	273	9	=	=	SYM
ejpam-6304	273	10	∥(ϖ3	∥(ϖ3	NOUN
ejpam-6304	273	11	n+ϖ3	n+ϖ3	NOUN
ejpam-6304	273	12	nϖ0−ϖ3	nϖ0−ϖ3	NOUN
ejpam-6304	273	13	0−ϖnϖ3	0−ϖnϖ3	NUM
ejpam-6304	273	14	0)∥	0)∥	NUM
ejpam-6304	273	15	∥(1+ϖn)(1+ϖ0)∥	∥(1+ϖn)(1+ϖ0)∥	NOUN
ejpam-6304	273	16	φ+	φ+	NOUN
ejpam-6304	273	17	∥(ϖ3	∥(ϖ3	NOUN
ejpam-6304	273	18	n+ϖ3	n+ϖ3	NOUN
ejpam-6304	273	19	nϖ0−ϖ3	nϖ0−ϖ3	NOUN
ejpam-6304	273	20	0−ϖnϖ3	0−ϖnϖ3	NUM
ejpam-6304	273	21	0)∥	0)∥	NUM
ejpam-6304	273	22	∥(1+ϖn)(1+ϖ0)∥	∥(1+ϖn)(1+ϖ0)∥	NOUN
ejpam-6304	273	23	=	=	SYM
ejpam-6304	274	1	∥(ϖn−ϖ0)∥∥(ϖ2	∥(ϖn−ϖ0)∥∥(ϖ2	PROPN
ejpam-6304	274	2	n+ϖnϖ0+ϖ2	n+ϖnϖ0+ϖ2	ADV
ejpam-6304	274	3	nϖ0+ϖnϖ2	nϖ0+ϖnϖ2	PROPN
ejpam-6304	274	4	0)∥	0)∥	NUM
ejpam-6304	274	5	φ∥(1+ϖn)(1+ϖ0)∥+∥(ϖn−ϖ0)∥∥(ϖ2	φ∥(1+ϖn)(1+ϖ0)∥+∥(ϖn−ϖ0)∥∥(ϖ2	PROPN
ejpam-6304	274	6	n+ϖnϖ0+ϖ2	n+ϖnϖ0+ϖ2	ADV
ejpam-6304	274	7	nϖ0+ϖnϖ2	nϖ0+ϖnϖ2	PROPN
ejpam-6304	274	8	0)∥	0)∥	NUM
ejpam-6304	275	1	=	=	NOUN
ejpam-6304	275	2	0	0	PUNCT
ejpam-6304	275	3	as	as	ADP
ejpam-6304	275	4	n	n	PROPN
ejpam-6304	275	5	→	→	SYM
ejpam-6304	275	6	∞	∞	NUM
ejpam-6304	275	7	by	by	ADP
ejpam-6304	275	8	equation	equation	NOUN
ejpam-6304	275	9	(	(	PUNCT
ejpam-6304	275	10	3.1	3.1	NUM
ejpam-6304	275	11	)	)	PUNCT
ejpam-6304	275	12	.	.	PUNCT
ejpam-6304	276	1	also	also	ADV
ejpam-6304	276	2	,	,	PUNCT
ejpam-6304	276	3	ρ(υ(ϖn)−υ(ϖ0	ρ(υ(ϖn)−υ(ϖ0	NOUN
ejpam-6304	276	4	)	)	PUNCT
ejpam-6304	276	5	,	,	PUNCT
ejpam-6304	276	6	φ	φ	NOUN
ejpam-6304	276	7	)	)	PUNCT
ejpam-6304	276	8	=	=	SYM
ejpam-6304	276	9	∥∥∥∥	∥∥∥∥	PROPN
ejpam-6304	276	10	ϖ3	ϖ3	NOUN
ejpam-6304	276	11	n	n	CCONJ
ejpam-6304	276	12	1+ϖn	1+ϖn	NUM
ejpam-6304	276	13	−	−	PROPN
ejpam-6304	276	14	ϖ3	ϖ3	NOUN
ejpam-6304	276	15	0	0	NUM
ejpam-6304	276	16	1+ϖ0	1+ϖ0	NUM
ejpam-6304	276	17	∥∥∥∥	∥∥∥∥	PROPN
ejpam-6304	276	18	φ	φ	PROPN
ejpam-6304	276	19	=	=	SYM
ejpam-6304	276	20	∥(ϖ3	∥(ϖ3	NOUN
ejpam-6304	276	21	n+ϖ3	n+ϖ3	NOUN
ejpam-6304	276	22	nϖ0−ϖ3	nϖ0−ϖ3	NOUN
ejpam-6304	276	23	0−ϖnϖ3	0−ϖnϖ3	NUM
ejpam-6304	276	24	0)∥	0)∥	NUM
ejpam-6304	276	25	∥(1+ϖn)(1+ϖ0)∥	∥(1+ϖn)(1+ϖ0)∥	NOUN
ejpam-6304	276	26	φ	φ	PROPN
ejpam-6304	276	27	=	=	SYM
ejpam-6304	277	1	∥(ϖn−ϖ0)∥∥(ϖ2	∥(ϖn−ϖ0)∥∥(ϖ2	PROPN
ejpam-6304	277	2	n+ϖnϖ0+ϖ2	n+ϖnϖ0+ϖ2	NOUN
ejpam-6304	277	3	nϖ0+ϖnϖ2	nϖ0+ϖnϖ2	PROPN
ejpam-6304	277	4	0)∥	0)∥	NUM
ejpam-6304	277	5	φ∥(1+ϖn)(1+ϖ0)∥	φ∥(1+ϖn)(1+ϖ0)∥	NOUN
ejpam-6304	277	6	=	=	SYM
ejpam-6304	277	7	0	0	PUNCT
ejpam-6304	277	8	as	as	ADP
ejpam-6304	277	9	n	n	NUM
ejpam-6304	277	10	→	→	SYM
ejpam-6304	277	11	∞	∞	NUM
ejpam-6304	277	12	by	by	ADP
ejpam-6304	277	13	equation	equation	NOUN
ejpam-6304	277	14	(	(	PUNCT
ejpam-6304	277	15	3.1	3.1	NUM
ejpam-6304	277	16	)	)	PUNCT
ejpam-6304	277	17	.	.	PUNCT
ejpam-6304	278	1	it	it	PRON
ejpam-6304	278	2	follows	follow	VERB
ejpam-6304	278	3	that	that	SCONJ
ejpam-6304	278	4	υ	υ	PROPN
ejpam-6304	278	5	exhibits	exhibit	VERB
ejpam-6304	278	6	sequential	sequential	ADJ
ejpam-6304	278	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	278	8	continuity	continuity	NOUN
ejpam-6304	278	9	at	at	ADP
ejpam-6304	278	10	ϖ0	ϖ0	NOUN
ejpam-6304	278	11	∈	∈	PROPN
ejpam-6304	278	12	f	f	X
ejpam-6304	278	13	,	,	PUNCT
ejpam-6304	278	14	and	and	CCONJ
ejpam-6304	278	15	thus	thus	ADV
ejpam-6304	278	16	this	this	DET
ejpam-6304	278	17	property	property	NOUN
ejpam-6304	278	18	extends	extend	VERB
ejpam-6304	278	19	over	over	ADP
ejpam-6304	278	20	the	the	DET
ejpam-6304	278	21	entire	entire	ADJ
ejpam-6304	278	22	space	space	NOUN
ejpam-6304	278	23	f.	f.	PROPN
ejpam-6304	278	24	nonetheless	nonetheless	ADV
ejpam-6304	278	25	,	,	PUNCT
ejpam-6304	278	26	example	example	NOUN
ejpam-6304	278	27	(	(	PUNCT
ejpam-6304	278	28	1	1	X
ejpam-6304	278	29	)	)	PUNCT
ejpam-6304	278	30	clearly	clearly	ADV
ejpam-6304	278	31	illustrates	illustrate	VERB
ejpam-6304	278	32	that	that	SCONJ
ejpam-6304	278	33	υ	υ	PROPN
ejpam-6304	278	34	does	do	AUX
ejpam-6304	278	35	not	not	PART
ejpam-6304	278	36	satisfy	satisfy	VERB
ejpam-6304	278	37	the	the	DET
ejpam-6304	278	38	criteria	criterion	NOUN
ejpam-6304	278	39	for	for	ADP
ejpam-6304	278	40	strong	strong	ADJ
ejpam-6304	278	41	neutrosophic	neutrosophic	ADJ
ejpam-6304	278	42	continuity	continuity	NOUN
ejpam-6304	278	43	.	.	PUNCT
ejpam-6304	279	1	corollary	corollary	ADJ
ejpam-6304	279	2	1	1	NUM
ejpam-6304	279	3	.	.	PUNCT
ejpam-6304	280	1	if	if	SCONJ
ejpam-6304	280	2	a	a	DET
ejpam-6304	280	3	linear	linear	ADJ
ejpam-6304	280	4	operator	operator	NOUN
ejpam-6304	280	5	υ	υ	NOUN
ejpam-6304	280	6	:	:	PUNCT
ejpam-6304	280	7	(	(	PUNCT
ejpam-6304	280	8	f	f	X
ejpam-6304	280	9	,	,	PUNCT
ejpam-6304	280	10	η1	η1	NOUN
ejpam-6304	280	11	,	,	PUNCT
ejpam-6304	280	12	ρ1	ρ1	NOUN
ejpam-6304	280	13	,	,	PUNCT
ejpam-6304	280	14	ς1	ς1	NOUN
ejpam-6304	280	15	)	)	PUNCT
ejpam-6304	280	16	→	→	SYM
ejpam-6304	280	17	(	(	PUNCT
ejpam-6304	280	18	g	g	NOUN
ejpam-6304	280	19	,	,	PUNCT
ejpam-6304	280	20	η2	η2	NOUN
ejpam-6304	280	21	,	,	PUNCT
ejpam-6304	280	22	ρ2	ρ2	NOUN
ejpam-6304	280	23	,	,	PUNCT
ejpam-6304	280	24	ς2	ς2	PROPN
ejpam-6304	280	25	)	)	PUNCT
ejpam-6304	280	26	is	be	AUX
ejpam-6304	280	27	strongly	strongly	ADV
ejpam-6304	280	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	280	29	continuous	continuous	ADJ
ejpam-6304	280	30	then	then	ADV
ejpam-6304	280	31	it	it	PRON
ejpam-6304	280	32	is	be	AUX
ejpam-6304	280	33	neutrosophic	neutrosophic	ADJ
ejpam-6304	280	34	continuous	continuous	ADJ
ejpam-6304	280	35	,	,	PUNCT
ejpam-6304	280	36	where	where	SCONJ
ejpam-6304	280	37	(	(	PUNCT
ejpam-6304	280	38	f	f	X
ejpam-6304	280	39	,	,	PUNCT
ejpam-6304	280	40	η1	η1	NOUN
ejpam-6304	280	41	,	,	PUNCT
ejpam-6304	280	42	ρ1	ρ1	NOUN
ejpam-6304	280	43	,	,	PUNCT
ejpam-6304	280	44	ς1	ς1	NOUN
ejpam-6304	280	45	)	)	PUNCT
ejpam-6304	280	46	and	and	CCONJ
ejpam-6304	280	47	(	(	PUNCT
ejpam-6304	280	48	g	g	NOUN
ejpam-6304	280	49	,	,	PUNCT
ejpam-6304	280	50	η2	η2	NOUN
ejpam-6304	280	51	,	,	PUNCT
ejpam-6304	280	52	ρ2	ρ2	NOUN
ejpam-6304	280	53	,	,	PUNCT
ejpam-6304	280	54	ς2	ς2	PROPN
ejpam-6304	280	55	)	)	PUNCT
ejpam-6304	280	56	are	be	AUX
ejpam-6304	280	57	npnls	npnls	NOUN
ejpam-6304	280	58	.	.	PUNCT
ejpam-6304	281	1	pandiselvi	pandiselvi	ADJ
ejpam-6304	281	2	.	.	PUNCT
ejpam-6304	282	1	m	m	PROPN
ejpam-6304	282	2	,	,	PUNCT
ejpam-6304	282	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	282	4	.	.	PUNCT
ejpam-6304	283	1	m	m	PROPN
ejpam-6304	283	2	andmohammad	andmohammad	PROPN
ejpam-6304	283	3	akram	akram	PROPN
ejpam-6304	283	4	/	/	PUNCT
ejpam-6304	283	5	eur	eur	PROPN
ejpam-6304	283	6	.	.	PUNCT
ejpam-6304	284	1	j.	j.	PROPN
ejpam-6304	284	2	pure	pure	PROPN
ejpam-6304	284	3	appl	appl	PROPN
ejpam-6304	284	4	.	.	PROPN
ejpam-6304	284	5	math	math	PROPN
ejpam-6304	284	6	,	,	PUNCT
ejpam-6304	284	7	18	18	NUM
ejpam-6304	284	8	(	(	PUNCT
ejpam-6304	284	9	3	3	NUM
ejpam-6304	284	10	)	)	PUNCT
ejpam-6304	284	11	(	(	PUNCT
ejpam-6304	284	12	2025	2025	NUM
ejpam-6304	284	13	)	)	PUNCT
ejpam-6304	284	14	,	,	PUNCT
ejpam-6304	284	15	6304	6304	NUM
ejpam-6304	284	16	11	11	NUM
ejpam-6304	284	17	of	of	ADP
ejpam-6304	284	18	15	15	NUM
ejpam-6304	284	19	proof	proof	NOUN
ejpam-6304	284	20	.	.	PUNCT
ejpam-6304	285	1	the	the	DET
ejpam-6304	285	2	corollary	corollary	NOUN
ejpam-6304	285	3	is	be	AUX
ejpam-6304	285	4	a	a	DET
ejpam-6304	285	5	direct	direct	ADJ
ejpam-6304	285	6	consequence	consequence	NOUN
ejpam-6304	285	7	of	of	ADP
ejpam-6304	285	8	theorem	theorem	NOUN
ejpam-6304	285	9	(	(	PUNCT
ejpam-6304	285	10	5	5	NUM
ejpam-6304	285	11	)	)	PUNCT
ejpam-6304	285	12	and	and	CCONJ
ejpam-6304	285	13	theorem	theorem	VERB
ejpam-6304	285	14	(	(	PUNCT
ejpam-6304	285	15	8)	8)	NUM
ejpam-6304	285	16	.	.	NOUN
ejpam-6304	285	17	4	4	NUM
ejpam-6304	285	18	.	.	X
ejpam-6304	285	19	neutrosophic	neutrosophic	ADJ
ejpam-6304	285	20	boundedness	boundedness	NOUN
ejpam-6304	285	21	of	of	ADP
ejpam-6304	285	22	operators	operator	NOUN
ejpam-6304	285	23	on	on	ADP
ejpam-6304	285	24	neutrosophic	neutrosophic	ADJ
ejpam-6304	285	25	pseudo	pseudo	NOUN
ejpam-6304	285	26	normed	norme	VERB
ejpam-6304	285	27	linear	linear	ADJ
ejpam-6304	285	28	space	space	NOUN
ejpam-6304	285	29	this	this	DET
ejpam-6304	285	30	section	section	NOUN
ejpam-6304	285	31	aims	aim	VERB
ejpam-6304	285	32	to	to	PART
ejpam-6304	285	33	generalize	generalize	VERB
ejpam-6304	285	34	classical	classical	ADJ
ejpam-6304	285	35	notions	notion	NOUN
ejpam-6304	285	36	of	of	ADP
ejpam-6304	285	37	boundedness	boundedness	NOUN
ejpam-6304	285	38	for	for	ADP
ejpam-6304	285	39	operators	operator	NOUN
ejpam-6304	285	40	within	within	ADP
ejpam-6304	285	41	neutrosophic	neutrosophic	ADJ
ejpam-6304	285	42	pseudo	pseudo	NOUN
ejpam-6304	285	43	normed	norme	VERB
ejpam-6304	285	44	linear	linear	PROPN
ejpam-6304	285	45	spaces	space	NOUN
ejpam-6304	285	46	,	,	PUNCT
ejpam-6304	285	47	offering	offer	VERB
ejpam-6304	285	48	new	new	ADJ
ejpam-6304	285	49	perspectives	perspective	NOUN
ejpam-6304	285	50	in	in	ADP
ejpam-6304	285	51	the	the	DET
ejpam-6304	285	52	neutrosophic	neutrosophic	ADJ
ejpam-6304	285	53	framework	framework	NOUN
ejpam-6304	285	54	.	.	PUNCT
ejpam-6304	286	1	definition	definition	NOUN
ejpam-6304	286	2	8	8	NUM
ejpam-6304	286	3	.	.	PUNCT
ejpam-6304	287	1	let	let	VERB
ejpam-6304	287	2	(	(	PUNCT
ejpam-6304	287	3	f	f	X
ejpam-6304	287	4	,	,	PUNCT
ejpam-6304	287	5	η1	η1	NOUN
ejpam-6304	287	6	,	,	PUNCT
ejpam-6304	287	7	ρ1	ρ1	NOUN
ejpam-6304	287	8	,	,	PUNCT
ejpam-6304	287	9	ς1	ς1	NOUN
ejpam-6304	287	10	)	)	PUNCT
ejpam-6304	287	11	and	and	CCONJ
ejpam-6304	287	12	(	(	PUNCT
ejpam-6304	287	13	g	g	NOUN
ejpam-6304	287	14	,	,	PUNCT
ejpam-6304	287	15	η2	η2	NOUN
ejpam-6304	287	16	,	,	PUNCT
ejpam-6304	287	17	ρ2	ρ2	NOUN
ejpam-6304	287	18	,	,	PUNCT
ejpam-6304	287	19	ς2	ς2	PROPN
ejpam-6304	287	20	)	)	PUNCT
ejpam-6304	287	21	npnls	npnls	NOUN
ejpam-6304	287	22	.	.	PUNCT
ejpam-6304	288	1	a	a	DET
ejpam-6304	288	2	mapping	mapping	NOUN
ejpam-6304	288	3	υ	υ	NOUN
ejpam-6304	288	4	:	:	PUNCT
ejpam-6304	288	5	(	(	PUNCT
ejpam-6304	288	6	f	f	X
ejpam-6304	288	7	,	,	PUNCT
ejpam-6304	288	8	η1	η1	NOUN
ejpam-6304	288	9	,	,	PUNCT
ejpam-6304	288	10	ρ1	ρ1	NOUN
ejpam-6304	288	11	,	,	PUNCT
ejpam-6304	288	12	ς1	ς1	NOUN
ejpam-6304	288	13	)	)	PUNCT
ejpam-6304	288	14	→	→	SYM
ejpam-6304	288	15	(	(	PUNCT
ejpam-6304	288	16	g	g	NOUN
ejpam-6304	288	17	,	,	PUNCT
ejpam-6304	288	18	η2	η2	NOUN
ejpam-6304	288	19	,	,	PUNCT
ejpam-6304	288	20	ρ2	ρ2	NOUN
ejpam-6304	288	21	,	,	PUNCT
ejpam-6304	288	22	ς2	ς2	PROPN
ejpam-6304	288	23	)	)	PUNCT
ejpam-6304	288	24	is	be	AUX
ejpam-6304	288	25	said	say	VERB
ejpam-6304	288	26	to	to	PART
ejpam-6304	288	27	be	be	AUX
ejpam-6304	288	28	strongly	strongly	ADV
ejpam-6304	288	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	288	30	bounded	bound	VERB
ejpam-6304	288	31	if	if	SCONJ
ejpam-6304	288	32	for	for	ADP
ejpam-6304	288	33	all	all	DET
ejpam-6304	288	34	ϖ	ϖ	NOUN
ejpam-6304	288	35	∈	∈	PROPN
ejpam-6304	288	36	f	f	PROPN
ejpam-6304	288	37	and	and	CCONJ
ejpam-6304	288	38	φ	φ	PROPN
ejpam-6304	288	39	∈	∈	PROPN
ejpam-6304	288	40	r+	r+	NOUN
ejpam-6304	288	41	,	,	PUNCT
ejpam-6304	288	42	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	288	43	)	)	PUNCT
ejpam-6304	288	44	,	,	PUNCT
ejpam-6304	288	45	φ	φ	NUM
ejpam-6304	288	46	)	)	PUNCT
ejpam-6304	288	47	≥	≥	NOUN
ejpam-6304	288	48	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	288	49	)	)	PUNCT
ejpam-6304	288	50	,	,	PUNCT
ejpam-6304	288	51	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	288	52	)	)	PUNCT
ejpam-6304	288	53	,	,	PUNCT
ejpam-6304	288	54	φ	φ	NUM
ejpam-6304	288	55	)	)	PUNCT
ejpam-6304	288	56	≤	≤	NOUN
ejpam-6304	288	57	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	288	58	)	)	PUNCT
ejpam-6304	288	59	and	and	CCONJ
ejpam-6304	288	60	ς2(υ(ϖ	ς2(υ(ϖ	NOUN
ejpam-6304	288	61	)	)	PUNCT
ejpam-6304	288	62	,	,	PUNCT
ejpam-6304	288	63	φ	φ	NOUN
ejpam-6304	288	64	)	)	PUNCT
ejpam-6304	288	65	≤	≤	NOUN
ejpam-6304	288	66	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	288	67	)	)	PUNCT
ejpam-6304	288	68	.	.	PUNCT
ejpam-6304	289	1	definition	definition	NOUN
ejpam-6304	289	2	9	9	NUM
ejpam-6304	289	3	.	.	PUNCT
ejpam-6304	290	1	let	let	VERB
ejpam-6304	290	2	(	(	PUNCT
ejpam-6304	290	3	f	f	X
ejpam-6304	290	4	,	,	PUNCT
ejpam-6304	290	5	η1	η1	NOUN
ejpam-6304	290	6	,	,	PUNCT
ejpam-6304	290	7	ρ1	ρ1	NOUN
ejpam-6304	290	8	,	,	PUNCT
ejpam-6304	290	9	ς1	ς1	NOUN
ejpam-6304	290	10	)	)	PUNCT
ejpam-6304	290	11	and	and	CCONJ
ejpam-6304	290	12	(	(	PUNCT
ejpam-6304	290	13	g	g	NOUN
ejpam-6304	290	14	,	,	PUNCT
ejpam-6304	290	15	η2	η2	NOUN
ejpam-6304	290	16	,	,	PUNCT
ejpam-6304	290	17	ρ2	ρ2	NOUN
ejpam-6304	290	18	,	,	PUNCT
ejpam-6304	290	19	ς2	ς2	PROPN
ejpam-6304	290	20	)	)	PUNCT
ejpam-6304	290	21	npnls	npnls	NOUN
ejpam-6304	290	22	.	.	PUNCT
ejpam-6304	291	1	a	a	DET
ejpam-6304	291	2	mapping	mapping	NOUN
ejpam-6304	291	3	υ	υ	NOUN
ejpam-6304	291	4	:	:	PUNCT
ejpam-6304	291	5	(	(	PUNCT
ejpam-6304	291	6	f	f	X
ejpam-6304	291	7	,	,	PUNCT
ejpam-6304	291	8	η1	η1	NOUN
ejpam-6304	291	9	,	,	PUNCT
ejpam-6304	291	10	ρ1	ρ1	NOUN
ejpam-6304	291	11	,	,	PUNCT
ejpam-6304	291	12	ς1	ς1	NOUN
ejpam-6304	291	13	)	)	PUNCT
ejpam-6304	291	14	→	→	SYM
ejpam-6304	291	15	(	(	PUNCT
ejpam-6304	291	16	g	g	NOUN
ejpam-6304	291	17	,	,	PUNCT
ejpam-6304	291	18	η2	η2	NOUN
ejpam-6304	291	19	,	,	PUNCT
ejpam-6304	291	20	ρ2	ρ2	NOUN
ejpam-6304	291	21	,	,	PUNCT
ejpam-6304	291	22	ς2	ς2	PROPN
ejpam-6304	291	23	)	)	PUNCT
ejpam-6304	291	24	is	be	AUX
ejpam-6304	291	25	said	say	VERB
ejpam-6304	291	26	to	to	PART
ejpam-6304	291	27	be	be	AUX
ejpam-6304	291	28	weakly	weakly	ADV
ejpam-6304	291	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	291	30	bounded	bound	VERB
ejpam-6304	291	31	if	if	SCONJ
ejpam-6304	291	32	for	for	ADP
ejpam-6304	291	33	any	any	PRON
ejpam-6304	291	34	0	0	PUNCT
ejpam-6304	291	35	<	<	X
ejpam-6304	291	36	δ	δ	X
ejpam-6304	291	37	<	<	X
ejpam-6304	291	38	1	1	NUM
ejpam-6304	291	39	,	,	PUNCT
ejpam-6304	291	40	for	for	ADP
ejpam-6304	291	41	all	all	PRON
ejpam-6304	291	42	ϖ	ϖ	NOUN
ejpam-6304	291	43	∈	∈	PROPN
ejpam-6304	291	44	f	f	PROPN
ejpam-6304	291	45	and	and	CCONJ
ejpam-6304	291	46	φ	φ	PROPN
ejpam-6304	291	47	∈	∈	PROPN
ejpam-6304	291	48	r+	r+	X
ejpam-6304	291	49	,	,	PUNCT
ejpam-6304	291	50	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	291	51	)	)	PUNCT
ejpam-6304	291	52	≥	≥	NOUN
ejpam-6304	291	53	δ	δ	PROPN
ejpam-6304	291	54	⇒	⇒	PROPN
ejpam-6304	291	55	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	291	56	)	)	PUNCT
ejpam-6304	291	57	,	,	PUNCT
ejpam-6304	291	58	φ	φ	NUM
ejpam-6304	291	59	)	)	PUNCT
ejpam-6304	291	60	≥	≥	PROPN
ejpam-6304	291	61	δ	δ	PROPN
ejpam-6304	291	62	,	,	PUNCT
ejpam-6304	291	63	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	291	64	)	)	PUNCT
ejpam-6304	291	65	≤	≤	NOUN
ejpam-6304	291	66	1−	1−	NUM
ejpam-6304	291	67	δ	δ	PROPN
ejpam-6304	291	68	⇒	⇒	NOUN
ejpam-6304	291	69	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	291	70	)	)	PUNCT
ejpam-6304	291	71	,	,	PUNCT
ejpam-6304	291	72	φ	φ	NUM
ejpam-6304	291	73	)	)	PUNCT
ejpam-6304	291	74	≤	≤	NOUN
ejpam-6304	291	75	1−	1−	NUM
ejpam-6304	291	76	δ	δ	PROPN
ejpam-6304	291	77	and	and	CCONJ
ejpam-6304	291	78	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	291	79	)	)	PUNCT
ejpam-6304	291	80	≤	≤	NOUN
ejpam-6304	291	81	1−	1−	NUM
ejpam-6304	291	82	δ	δ	PROPN
ejpam-6304	291	83	⇒	⇒	VERB
ejpam-6304	291	84	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	291	85	)	)	PUNCT
ejpam-6304	291	86	,	,	PUNCT
ejpam-6304	291	87	φ	φ	NUM
ejpam-6304	291	88	)	)	PUNCT
ejpam-6304	291	89	≤	≤	NOUN
ejpam-6304	291	90	1−	1−	NUM
ejpam-6304	291	91	δ	δ	PROPN
ejpam-6304	291	92	.	.	PUNCT
ejpam-6304	292	1	theorem	theorem	VERB
ejpam-6304	292	2	9	9	NUM
ejpam-6304	292	3	.	.	PUNCT
ejpam-6304	293	1	if	if	SCONJ
ejpam-6304	293	2	a	a	DET
ejpam-6304	293	3	linear	linear	ADJ
ejpam-6304	293	4	operator	operator	NOUN
ejpam-6304	293	5	υ	υ	NOUN
ejpam-6304	293	6	:	:	PUNCT
ejpam-6304	293	7	(	(	PUNCT
ejpam-6304	293	8	f	f	X
ejpam-6304	293	9	,	,	PUNCT
ejpam-6304	293	10	η1	η1	NOUN
ejpam-6304	293	11	,	,	PUNCT
ejpam-6304	293	12	ρ1	ρ1	NOUN
ejpam-6304	293	13	,	,	PUNCT
ejpam-6304	293	14	ς1	ς1	NOUN
ejpam-6304	293	15	)	)	PUNCT
ejpam-6304	293	16	→	→	SYM
ejpam-6304	293	17	(	(	PUNCT
ejpam-6304	293	18	g	g	NOUN
ejpam-6304	293	19	,	,	PUNCT
ejpam-6304	293	20	η2	η2	NOUN
ejpam-6304	293	21	,	,	PUNCT
ejpam-6304	293	22	ρ2	ρ2	NOUN
ejpam-6304	293	23	,	,	PUNCT
ejpam-6304	293	24	ς2	ς2	PROPN
ejpam-6304	293	25	)	)	PUNCT
ejpam-6304	293	26	is	be	AUX
ejpam-6304	293	27	strongly	strongly	ADV
ejpam-6304	293	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	293	29	bounded	bound	VERB
ejpam-6304	293	30	then	then	ADV
ejpam-6304	293	31	it	it	PRON
ejpam-6304	293	32	is	be	AUX
ejpam-6304	293	33	weakly	weakly	ADV
ejpam-6304	293	34	neutrosophic	neutrosophic	ADJ
ejpam-6304	293	35	bounded	bound	VERB
ejpam-6304	293	36	,	,	PUNCT
ejpam-6304	293	37	where	where	SCONJ
ejpam-6304	293	38	(	(	PUNCT
ejpam-6304	293	39	f	f	X
ejpam-6304	293	40	,	,	PUNCT
ejpam-6304	293	41	η1	η1	NOUN
ejpam-6304	293	42	,	,	PUNCT
ejpam-6304	293	43	ρ1	ρ1	NOUN
ejpam-6304	293	44	,	,	PUNCT
ejpam-6304	293	45	ς1	ς1	NOUN
ejpam-6304	293	46	)	)	PUNCT
ejpam-6304	293	47	and	and	CCONJ
ejpam-6304	293	48	(	(	PUNCT
ejpam-6304	293	49	g	g	NOUN
ejpam-6304	293	50	,	,	PUNCT
ejpam-6304	293	51	η2	η2	NOUN
ejpam-6304	293	52	,	,	PUNCT
ejpam-6304	293	53	ρ2	ρ2	NOUN
ejpam-6304	293	54	,	,	PUNCT
ejpam-6304	293	55	ς2	ς2	PROPN
ejpam-6304	293	56	)	)	PUNCT
ejpam-6304	293	57	are	be	AUX
ejpam-6304	293	58	npnls	npnls	NOUN
ejpam-6304	293	59	.	.	PUNCT
ejpam-6304	294	1	proof	proof	NOUN
ejpam-6304	294	2	.	.	PUNCT
ejpam-6304	295	1	the	the	DET
ejpam-6304	295	2	result	result	NOUN
ejpam-6304	295	3	can	can	AUX
ejpam-6304	295	4	be	be	AUX
ejpam-6304	295	5	readily	readily	ADV
ejpam-6304	295	6	derived	derive	VERB
ejpam-6304	295	7	from	from	ADP
ejpam-6304	295	8	the	the	DET
ejpam-6304	295	9	definitions	definition	NOUN
ejpam-6304	295	10	of	of	ADP
ejpam-6304	295	11	strong	strong	ADJ
ejpam-6304	295	12	and	and	CCONJ
ejpam-6304	295	13	weak	weak	ADJ
ejpam-6304	295	14	neutrosophic	neutrosophic	ADJ
ejpam-6304	295	15	boundedness	boundedness	NOUN
ejpam-6304	295	16	for	for	ADP
ejpam-6304	295	17	linear	linear	PROPN
ejpam-6304	295	18	operators	operator	NOUN
ejpam-6304	295	19	.	.	PUNCT
ejpam-6304	296	1	definition	definition	NOUN
ejpam-6304	296	2	10	10	NUM
ejpam-6304	296	3	.	.	PUNCT
ejpam-6304	297	1	let	let	VERB
ejpam-6304	297	2	(	(	PUNCT
ejpam-6304	297	3	f	f	X
ejpam-6304	297	4	,	,	PUNCT
ejpam-6304	297	5	η1	η1	NOUN
ejpam-6304	297	6	,	,	PUNCT
ejpam-6304	297	7	ρ1	ρ1	NOUN
ejpam-6304	297	8	,	,	PUNCT
ejpam-6304	297	9	ς1	ς1	NOUN
ejpam-6304	297	10	)	)	PUNCT
ejpam-6304	297	11	,	,	PUNCT
ejpam-6304	297	12	(	(	PUNCT
ejpam-6304	297	13	g	g	NOUN
ejpam-6304	297	14	,	,	PUNCT
ejpam-6304	297	15	η2	η2	NOUN
ejpam-6304	297	16	,	,	PUNCT
ejpam-6304	297	17	ρ2	ρ2	NOUN
ejpam-6304	297	18	,	,	PUNCT
ejpam-6304	297	19	ς2	ς2	PROPN
ejpam-6304	297	20	)	)	PUNCT
ejpam-6304	297	21	be	be	VERB
ejpam-6304	297	22	npnls	npnls	NOUN
ejpam-6304	297	23	.	.	PUNCT
ejpam-6304	298	1	a	a	DET
ejpam-6304	298	2	mapping	mapping	NOUN
ejpam-6304	298	3	υ	υ	NOUN
ejpam-6304	298	4	:	:	PUNCT
ejpam-6304	298	5	(	(	PUNCT
ejpam-6304	298	6	f	f	X
ejpam-6304	298	7	,	,	PUNCT
ejpam-6304	298	8	η1	η1	NOUN
ejpam-6304	298	9	,	,	PUNCT
ejpam-6304	298	10	ρ1	ρ1	NOUN
ejpam-6304	298	11	,	,	PUNCT
ejpam-6304	298	12	ς1	ς1	NOUN
ejpam-6304	298	13	)	)	PUNCT
ejpam-6304	298	14	→	→	SYM
ejpam-6304	298	15	(	(	PUNCT
ejpam-6304	298	16	g	g	NOUN
ejpam-6304	298	17	,	,	PUNCT
ejpam-6304	298	18	η2	η2	NOUN
ejpam-6304	298	19	,	,	PUNCT
ejpam-6304	298	20	ρ2	ρ2	NOUN
ejpam-6304	298	21	,	,	PUNCT
ejpam-6304	298	22	ς2	ς2	PROPN
ejpam-6304	298	23	)	)	PUNCT
ejpam-6304	298	24	is	be	AUX
ejpam-6304	298	25	named	name	VERB
ejpam-6304	298	26	to	to	PART
ejpam-6304	298	27	be	be	AUX
ejpam-6304	298	28	uniformly	uniformly	ADV
ejpam-6304	298	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	298	30	bounded	bound	VERB
ejpam-6304	298	31	if	if	SCONJ
ejpam-6304	298	32	there	there	PRON
ejpam-6304	298	33	exists	exist	VERB
ejpam-6304	298	34	ϵ	ϵ	X
ejpam-6304	298	35	>	>	X
ejpam-6304	298	36	0	0	NUM
ejpam-6304	298	37	,	,	PUNCT
ejpam-6304	298	38	0	0	NUM
ejpam-6304	298	39	<	<	X
ejpam-6304	298	40	γ	γ	X
ejpam-6304	298	41	<	<	X
ejpam-6304	298	42	1	1	NUM
ejpam-6304	298	43	such	such	ADJ
ejpam-6304	298	44	that	that	PRON
ejpam-6304	298	45	∥υϖ̃∥2δ	∥υϖ̃∥2δ	X
ejpam-6304	298	46	≤	≤	ADJ
ejpam-6304	298	47	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	298	48	,	,	PUNCT
ejpam-6304	298	49	that	that	PRON
ejpam-6304	298	50	∥υϖ̃∥2	∥υϖ̃∥2	NOUN
ejpam-6304	298	51	∗	∗	NOUN
ejpam-6304	298	52	δ	δ	NOUN
ejpam-6304	298	53	≤	≤	ADJ
ejpam-6304	298	54	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	298	55	∗	∗	NOUN
ejpam-6304	298	56	δ	δ	PROPN
ejpam-6304	298	57	,	,	PUNCT
ejpam-6304	298	58	where	where	SCONJ
ejpam-6304	298	59	∥·∥1δ	∥·∥1δ	PROPN
ejpam-6304	298	60	and	and	CCONJ
ejpam-6304	298	61	∥·∥2δ	∥·∥2δ	PROPN
ejpam-6304	298	62	are	be	AUX
ejpam-6304	298	63	ascending	ascend	VERB
ejpam-6304	298	64	family	family	NOUN
ejpam-6304	298	65	of	of	ADP
ejpam-6304	298	66	pseudo	pseudo	NOUN
ejpam-6304	298	67	norms	norm	NOUN
ejpam-6304	298	68	and	and	CCONJ
ejpam-6304	298	69	∥·∥1	∥·∥1	NOUN
ejpam-6304	298	70	∗	∗	NOUN
ejpam-6304	298	71	δ	δ	PROPN
ejpam-6304	298	72	and	and	CCONJ
ejpam-6304	298	73	∥·∥2	∥·∥2	NOUN
ejpam-6304	298	74	∗	∗	NOUN
ejpam-6304	298	75	δ	δ	PROPN
ejpam-6304	298	76	are	be	AUX
ejpam-6304	298	77	descending	descend	VERB
ejpam-6304	298	78	family	family	NOUN
ejpam-6304	298	79	of	of	ADP
ejpam-6304	298	80	pseudo	pseudo	NOUN
ejpam-6304	298	81	norm	norm	NOUN
ejpam-6304	298	82	defined	define	VERB
ejpam-6304	298	83	by	by	ADP
ejpam-6304	298	84	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	298	85	=	=	SYM
ejpam-6304	298	86	∧{φ	∧{φ	PROPN
ejpam-6304	298	87	>	>	X
ejpam-6304	298	88	0	0	NUM
ejpam-6304	298	89	:	:	PUNCT
ejpam-6304	298	90	η1(ϖ,φ	η1(ϖ,φ	NUM
ejpam-6304	298	91	)	)	PUNCT
ejpam-6304	298	92	≥	≥	NOUN
ejpam-6304	298	93	δ	δ	X
ejpam-6304	298	94	}	}	PUNCT
ejpam-6304	298	95	,	,	PUNCT
ejpam-6304	298	96	∥υ(ϖ)∥2δ	∥υ(ϖ)∥2δ	PROPN
ejpam-6304	298	97	=	=	SYM
ejpam-6304	298	98	∧{φ	∧{φ	PROPN
ejpam-6304	298	99	>	>	X
ejpam-6304	298	100	0	0	NUM
ejpam-6304	298	101	:	:	PUNCT
ejpam-6304	298	102	η2(ϖ,φ	η2(ϖ,φ	NUM
ejpam-6304	298	103	)	)	PUNCT
ejpam-6304	298	104	≥	≥	NOUN
ejpam-6304	298	105	δ	δ	X
ejpam-6304	298	106	}	}	PUNCT
ejpam-6304	298	107	,	,	PUNCT
ejpam-6304	298	108	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	298	109	∗	∗	NOUN
ejpam-6304	298	110	δ	δ	NOUN
ejpam-6304	298	111	=	=	SYM
ejpam-6304	298	112	∧{φ	∧{φ	PROPN
ejpam-6304	298	113	>	>	X
ejpam-6304	298	114	0	0	NUM
ejpam-6304	298	115	:	:	PUNCT
ejpam-6304	298	116	ρ1(ϖ,φ	ρ1(ϖ,φ	NUM
ejpam-6304	298	117	)	)	PUNCT
ejpam-6304	298	118	≤	≤	NOUN
ejpam-6304	298	119	1−	1−	NUM
ejpam-6304	298	120	δ	δ	PROPN
ejpam-6304	298	121	and	and	CCONJ
ejpam-6304	298	122	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	298	123	)	)	PUNCT
ejpam-6304	298	124	≤	≤	NOUN
ejpam-6304	298	125	1−	1−	NUM
ejpam-6304	298	126	δ	δ	NOUN
ejpam-6304	298	127	}	}	PUNCT
ejpam-6304	298	128	,	,	PUNCT
ejpam-6304	298	129	∥υϖ̃∥2	∥υϖ̃∥2	NOUN
ejpam-6304	298	130	∗	∗	NOUN
ejpam-6304	298	131	δ	δ	X
ejpam-6304	298	132	=	=	SYM
ejpam-6304	298	133	∧{φ	∧{φ	PROPN
ejpam-6304	298	134	>	>	X
ejpam-6304	298	135	0	0	NUM
ejpam-6304	298	136	:	:	PUNCT
ejpam-6304	298	137	ρ2(ϖ,φ	ρ2(ϖ,φ	NUM
ejpam-6304	298	138	)	)	PUNCT
ejpam-6304	298	139	≤	≤	NOUN
ejpam-6304	298	140	1−	1−	NUM
ejpam-6304	298	141	δ	δ	PROPN
ejpam-6304	298	142	and	and	CCONJ
ejpam-6304	298	143	ς2(ϖ,φ	ς2(ϖ,φ	NUM
ejpam-6304	298	144	)	)	PUNCT
ejpam-6304	298	145	≤	≤	NOUN
ejpam-6304	298	146	1−	1−	NUM
ejpam-6304	298	147	δ	δ	NOUN
ejpam-6304	298	148	}	}	PUNCT
ejpam-6304	298	149	.	.	PUNCT
ejpam-6304	299	1	theorem	theorem	ADJ
ejpam-6304	299	2	10	10	NUM
ejpam-6304	299	3	.	.	PUNCT
ejpam-6304	300	1	consider	consider	VERB
ejpam-6304	300	2	the	the	DET
ejpam-6304	300	3	neutrosophic	neutrosophic	ADJ
ejpam-6304	300	4	pseudo	pseudo	NOUN
ejpam-6304	300	5	normed	norme	VERB
ejpam-6304	300	6	linear	linear	PROPN
ejpam-6304	300	7	spaces	space	NOUN
ejpam-6304	300	8	(	(	PUNCT
ejpam-6304	300	9	f	f	X
ejpam-6304	300	10	,	,	PUNCT
ejpam-6304	300	11	η1	η1	NOUN
ejpam-6304	300	12	,	,	PUNCT
ejpam-6304	300	13	ρ1	ρ1	NOUN
ejpam-6304	300	14	,	,	PUNCT
ejpam-6304	300	15	ς1	ς1	NOUN
ejpam-6304	300	16	)	)	PUNCT
ejpam-6304	300	17	and	and	CCONJ
ejpam-6304	300	18	(	(	PUNCT
ejpam-6304	300	19	g	g	NOUN
ejpam-6304	300	20	,	,	PUNCT
ejpam-6304	300	21	η2	η2	NOUN
ejpam-6304	300	22	,	,	PUNCT
ejpam-6304	300	23	ρ2	ρ2	NOUN
ejpam-6304	300	24	,	,	PUNCT
ejpam-6304	300	25	ς2	ς2	PROPN
ejpam-6304	300	26	)	)	PUNCT
ejpam-6304	300	27	.	.	PUNCT
ejpam-6304	301	1	a	a	DET
ejpam-6304	301	2	linear	linear	ADJ
ejpam-6304	301	3	mapping	mapping	NOUN
ejpam-6304	301	4	υ	υ	NOUN
ejpam-6304	301	5	:	:	PUNCT
ejpam-6304	301	6	f	f	X
ejpam-6304	301	7	→	→	SYM
ejpam-6304	301	8	g	g	PROPN
ejpam-6304	301	9	is	be	AUX
ejpam-6304	301	10	strongly	strongly	ADV
ejpam-6304	301	11	neutrosophic	neutrosophic	ADJ
ejpam-6304	301	12	bounded	bound	VERB
ejpam-6304	301	13	if	if	SCONJ
ejpam-6304	301	14	and	and	CCONJ
ejpam-6304	301	15	only	only	ADV
ejpam-6304	301	16	if	if	SCONJ
ejpam-6304	301	17	it	it	PRON
ejpam-6304	301	18	satisfies	satisfy	VERB
ejpam-6304	301	19	the	the	DET
ejpam-6304	301	20	condition	condition	NOUN
ejpam-6304	301	21	of	of	ADP
ejpam-6304	301	22	uniform	uniform	ADJ
ejpam-6304	301	23	neutrosophic	neutrosophic	PROPN
ejpam-6304	301	24	boundedness	boundedness	PROPN
ejpam-6304	301	25	relative	relative	ADJ
ejpam-6304	301	26	to	to	ADP
ejpam-6304	301	27	the	the	DET
ejpam-6304	301	28	corresponding	corresponding	ADJ
ejpam-6304	301	29	δ	δ	PROPN
ejpam-6304	301	30	-	-	PUNCT
ejpam-6304	301	31	norms	norm	NOUN
ejpam-6304	301	32	,	,	PUNCT
ejpam-6304	301	33	where	where	SCONJ
ejpam-6304	301	34	δ	δ	PROPN
ejpam-6304	301	35	is	be	AUX
ejpam-6304	301	36	any	any	DET
ejpam-6304	301	37	fixed	fixed	ADJ
ejpam-6304	301	38	real	real	ADJ
ejpam-6304	301	39	number	number	NOUN
ejpam-6304	301	40	in	in	ADP
ejpam-6304	301	41	the	the	DET
ejpam-6304	301	42	interval	interval	NOUN
ejpam-6304	301	43	(	(	PUNCT
ejpam-6304	301	44	0	0	NUM
ejpam-6304	301	45	,	,	PUNCT
ejpam-6304	301	46	1	1	NUM
ejpam-6304	301	47	)	)	PUNCT
ejpam-6304	301	48	.	.	PUNCT
ejpam-6304	302	1	proof	proof	NOUN
ejpam-6304	302	2	.	.	PUNCT
ejpam-6304	303	1	suppose	suppose	VERB
ejpam-6304	303	2	υ	υ	NOUN
ejpam-6304	303	3	is	be	AUX
ejpam-6304	303	4	strongly	strongly	ADV
ejpam-6304	303	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	303	6	bounded	bound	VERB
ejpam-6304	303	7	.	.	PUNCT
ejpam-6304	304	1	then	then	ADV
ejpam-6304	304	2	for	for	ADP
ejpam-6304	304	3	all	all	PRON
ejpam-6304	304	4	ϖ	ϖ	NOUN
ejpam-6304	304	5	∈	∈	PROPN
ejpam-6304	304	6	f	f	PROPN
ejpam-6304	304	7	and	and	CCONJ
ejpam-6304	304	8	φ	φ	PROPN
ejpam-6304	304	9	∈	∈	PROPN
ejpam-6304	304	10	r+	r+	NOUN
ejpam-6304	304	11	,	,	PUNCT
ejpam-6304	304	12	⇒	⇒	PROPN
ejpam-6304	304	13	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	304	14	)	)	PUNCT
ejpam-6304	304	15	,	,	PUNCT
ejpam-6304	304	16	φ	φ	NUM
ejpam-6304	304	17	)	)	PUNCT
ejpam-6304	304	18	≥	≥	NOUN
ejpam-6304	304	19	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	304	20	)	)	PUNCT
ejpam-6304	304	21	,	,	PUNCT
ejpam-6304	304	22	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	304	23	)	)	PUNCT
ejpam-6304	304	24	,	,	PUNCT
ejpam-6304	304	25	φ	φ	NUM
ejpam-6304	304	26	)	)	PUNCT
ejpam-6304	304	27	≤	≤	NOUN
ejpam-6304	304	28	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	304	29	)	)	PUNCT
ejpam-6304	304	30	and	and	CCONJ
ejpam-6304	304	31	ς2(υ(ϖ	ς2(υ(ϖ	NOUN
ejpam-6304	304	32	)	)	PUNCT
ejpam-6304	304	33	,	,	PUNCT
ejpam-6304	304	34	φ	φ	NOUN
ejpam-6304	304	35	)	)	PUNCT
ejpam-6304	304	36	≤	≤	NOUN
ejpam-6304	304	37	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	304	38	)	)	PUNCT
ejpam-6304	304	39	.	.	PUNCT
ejpam-6304	305	1	(	(	PUNCT
ejpam-6304	305	2	4.1	4.1	NUM
ejpam-6304	305	3	)	)	PUNCT
ejpam-6304	305	4	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	306	1	=	=	SYM
ejpam-6304	306	2	∧{o	∧{o	PROPN
ejpam-6304	306	3	>	>	X
ejpam-6304	306	4	0	0	NUM
ejpam-6304	306	5	:	:	PUNCT
ejpam-6304	306	6	η1(ϖ,φ	η1(ϖ,φ	NUM
ejpam-6304	306	7	)	)	PUNCT
ejpam-6304	306	8	≥	≥	NOUN
ejpam-6304	306	9	o	o	NOUN
ejpam-6304	306	10	}	}	PUNCT
ejpam-6304	306	11	.	.	PUNCT
ejpam-6304	307	1	hene	hene	NOUN
ejpam-6304	307	2	,	,	PUNCT
ejpam-6304	307	3	there	there	PRON
ejpam-6304	307	4	exist	exist	VERB
ejpam-6304	307	5	o0	o0	PROPN
ejpam-6304	307	6	>	>	X
ejpam-6304	307	7	φ	φ	PROPN
ejpam-6304	307	8	such	such	ADJ
ejpam-6304	307	9	that	that	SCONJ
ejpam-6304	307	10	η1(ϖ	η1(ϖ	NOUN
ejpam-6304	307	11	,	,	PUNCT
ejpam-6304	307	12	o0	o0	PROPN
ejpam-6304	307	13	)	)	PUNCT
ejpam-6304	307	14	≥	≥	NOUN
ejpam-6304	307	15	o.	o.	PROPN
ejpam-6304	307	16	pandiselvi	pandiselvi	PROPN
ejpam-6304	307	17	.	.	PUNCT
ejpam-6304	308	1	m	m	PROPN
ejpam-6304	308	2	,	,	PUNCT
ejpam-6304	308	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	308	4	.	.	PUNCT
ejpam-6304	309	1	m	m	PROPN
ejpam-6304	309	2	andmohammad	andmohammad	PROPN
ejpam-6304	309	3	akram	akram	PROPN
ejpam-6304	309	4	/	/	PUNCT
ejpam-6304	309	5	eur	eur	PROPN
ejpam-6304	309	6	.	.	PUNCT
ejpam-6304	310	1	j.	j.	PROPN
ejpam-6304	310	2	pure	pure	PROPN
ejpam-6304	310	3	appl	appl	PROPN
ejpam-6304	310	4	.	.	PROPN
ejpam-6304	310	5	math	math	PROPN
ejpam-6304	310	6	,	,	PUNCT
ejpam-6304	310	7	18	18	NUM
ejpam-6304	310	8	(	(	PUNCT
ejpam-6304	310	9	3	3	NUM
ejpam-6304	310	10	)	)	PUNCT
ejpam-6304	310	11	(	(	PUNCT
ejpam-6304	310	12	2025	2025	NUM
ejpam-6304	310	13	)	)	PUNCT
ejpam-6304	310	14	,	,	PUNCT
ejpam-6304	310	15	6304	6304	NUM
ejpam-6304	310	16	12	12	NUM
ejpam-6304	310	17	of	of	ADP
ejpam-6304	310	18	15	15	NUM
ejpam-6304	310	19	there	there	PRON
ejpam-6304	310	20	exist	exist	VERB
ejpam-6304	310	21	o0	o0	PROPN
ejpam-6304	310	22	>	>	X
ejpam-6304	310	23	φ	φ	PROPN
ejpam-6304	310	24	such	such	ADJ
ejpam-6304	310	25	that	that	SCONJ
ejpam-6304	310	26	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	310	27	)	)	PUNCT
ejpam-6304	310	28	,	,	PUNCT
ejpam-6304	310	29	o0	o0	PROPN
ejpam-6304	310	30	)	)	PUNCT
ejpam-6304	310	31	≥	≥	NOUN
ejpam-6304	310	32	o.	o.	INTJ
ejpam-6304	310	33	(	(	PUNCT
ejpam-6304	310	34	by	by	ADP
ejpam-6304	310	35	equation	equation	NOUN
ejpam-6304	310	36	(	(	PUNCT
ejpam-6304	310	37	4.1	4.1	NUM
ejpam-6304	310	38	)	)	PUNCT
ejpam-6304	310	39	∥υ(ϖ)∥2δ	∥υ(ϖ)∥2δ	PROPN
ejpam-6304	310	40	≤	≤	NOUN
ejpam-6304	310	41	o0	o0	NOUN
ejpam-6304	310	42	<	<	X
ejpam-6304	310	43	φ	φ	X
ejpam-6304	310	44	.	.	PUNCT
ejpam-6304	311	1	thus	thus	ADV
ejpam-6304	311	2	,	,	PUNCT
ejpam-6304	311	3	∥υ(ϖ)∥2δ	∥υ(ϖ)∥2δ	PRON
ejpam-6304	311	4	≤	≤	NOUN
ejpam-6304	311	5	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	311	6	.	.	PUNCT
ejpam-6304	312	1	also	also	ADV
ejpam-6304	312	2	,	,	PUNCT
ejpam-6304	312	3	let	let	VERB
ejpam-6304	312	4	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	312	5	∗	∗	VERB
ejpam-6304	312	6	δ	δ	PROPN
ejpam-6304	312	7	>	>	X
ejpam-6304	312	8	φ	φ	PROPN
ejpam-6304	312	9	⇒	⇒	PROPN
ejpam-6304	312	10	∧{φ	∧{φ	PROPN
ejpam-6304	312	11	>	>	X
ejpam-6304	312	12	0	0	NUM
ejpam-6304	312	13	:	:	PUNCT
ejpam-6304	313	1	ρ1(ϖ,φ	ρ1(ϖ,φ	NUM
ejpam-6304	313	2	)	)	PUNCT
ejpam-6304	313	3	≤	≤	NUM
ejpam-6304	313	4	δ	δ	PROPN
ejpam-6304	313	5	and	and	CCONJ
ejpam-6304	313	6	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	313	7	)	)	PUNCT
ejpam-6304	313	8	≤	≤	NUM
ejpam-6304	313	9	δ	δ	PROPN
ejpam-6304	313	10	}	}	PUNCT
ejpam-6304	313	11	>	>	X
ejpam-6304	313	12	φ	φ	PROPN
ejpam-6304	313	13	hence	hence	ADV
ejpam-6304	313	14	there	there	ADV
ejpam-6304	313	15	exist	exist	VERB
ejpam-6304	313	16	o0	o0	PROPN
ejpam-6304	313	17	>	>	X
ejpam-6304	313	18	φ	φ	PROPN
ejpam-6304	313	19	such	such	ADJ
ejpam-6304	313	20	that	that	SCONJ
ejpam-6304	313	21	ρ1(ϖ	ρ1(ϖ	NOUN
ejpam-6304	313	22	,	,	PUNCT
ejpam-6304	313	23	o0	o0	NOUN
ejpam-6304	313	24	)	)	PUNCT
ejpam-6304	313	25	≤	≤	NOUN
ejpam-6304	313	26	o	o	NOUN
ejpam-6304	313	27	and	and	CCONJ
ejpam-6304	313	28	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	313	29	,	,	PUNCT
ejpam-6304	313	30	o0	o0	NOUN
ejpam-6304	313	31	)	)	PUNCT
ejpam-6304	313	32	≤	≤	NOUN
ejpam-6304	314	1	o	o	NOUN
ejpam-6304	314	2	there	there	PRON
ejpam-6304	314	3	exist	exist	VERB
ejpam-6304	314	4	o0	o0	PROPN
ejpam-6304	314	5	>	>	X
ejpam-6304	314	6	φ	φ	PROPN
ejpam-6304	314	7	such	such	ADJ
ejpam-6304	314	8	that	that	SCONJ
ejpam-6304	314	9	ρ2(υ(ϖ	ρ2(υ(ϖ	NOUN
ejpam-6304	314	10	)	)	PUNCT
ejpam-6304	314	11	,	,	PUNCT
ejpam-6304	314	12	o0	o0	NOUN
ejpam-6304	314	13	)	)	PUNCT
ejpam-6304	314	14	≤	≤	NOUN
ejpam-6304	314	15	o	o	NOUN
ejpam-6304	314	16	and	and	CCONJ
ejpam-6304	314	17	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	314	18	)	)	PUNCT
ejpam-6304	314	19	,	,	PUNCT
ejpam-6304	314	20	o0	o0	NOUN
ejpam-6304	314	21	)	)	PUNCT
ejpam-6304	314	22	≤	≤	NOUN
ejpam-6304	314	23	o	o	NOUN
ejpam-6304	314	24	(	(	PUNCT
ejpam-6304	314	25	by	by	ADP
ejpam-6304	314	26	equation	equation	NOUN
ejpam-6304	314	27	(	(	PUNCT
ejpam-6304	314	28	4.1	4.1	NUM
ejpam-6304	314	29	)	)	PUNCT
ejpam-6304	314	30	∥υ(ϖ)∥2δ	∥υ(ϖ)∥2δ	NUM
ejpam-6304	314	31	≥	≥	NOUN
ejpam-6304	314	32	o0	o0	PROPN
ejpam-6304	314	33	>	>	X
ejpam-6304	314	34	φ	φ	PROPN
ejpam-6304	314	35	.	.	PUNCT
ejpam-6304	315	1	thus	thus	ADV
ejpam-6304	315	2	,	,	PUNCT
ejpam-6304	315	3	∥υ(ϖ)∥2	∥υ(ϖ)∥2	PRON
ejpam-6304	315	4	∗	∗	PROPN
ejpam-6304	315	5	δ	δ	PROPN
ejpam-6304	315	6	≥	≥	NOUN
ejpam-6304	315	7	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	315	8	∗	∗	NOUN
ejpam-6304	315	9	δ	δ	PROPN
ejpam-6304	315	10	.	.	PUNCT
ejpam-6304	316	1	hence	hence	ADV
ejpam-6304	316	2	υ	υ	PROPN
ejpam-6304	316	3	is	be	AUX
ejpam-6304	316	4	uniformly	uniformly	ADV
ejpam-6304	316	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	316	6	bounded	bound	VERB
ejpam-6304	316	7	.	.	PUNCT
ejpam-6304	317	1	conversely	conversely	ADV
ejpam-6304	317	2	,	,	PUNCT
ejpam-6304	317	3	suppose	suppose	VERB
ejpam-6304	317	4	υ	υ	NOUN
ejpam-6304	317	5	is	be	AUX
ejpam-6304	317	6	uniformly	uniformly	ADV
ejpam-6304	317	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	317	8	bounded	bound	VERB
ejpam-6304	317	9	with	with	ADP
ejpam-6304	317	10	respect	respect	NOUN
ejpam-6304	317	11	to	to	ADP
ejpam-6304	317	12	to	to	ADP
ejpam-6304	317	13	corresponding	correspond	VERB
ejpam-6304	317	14	δ	δ	NOUN
ejpam-6304	317	15	-	-	NOUN
ejpam-6304	317	16	norms	norm	NOUN
ejpam-6304	317	17	.	.	PUNCT
ejpam-6304	318	1	then	then	ADV
ejpam-6304	318	2	0	0	NUM
ejpam-6304	318	3	<	<	X
ejpam-6304	318	4	δ	δ	X
ejpam-6304	318	5	<	<	X
ejpam-6304	318	6	1	1	NUM
ejpam-6304	318	7	,	,	PUNCT
ejpam-6304	318	8	∥υ(ϖ)∥2δ	∥υ(ϖ)∥2δ	PRON
ejpam-6304	318	9	≤	≤	NOUN
ejpam-6304	318	10	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	318	11	,	,	PUNCT
ejpam-6304	319	1	∥υ(ϖ)∥2	∥υ(ϖ)∥2	DET
ejpam-6304	319	2	∗	∗	PROPN
ejpam-6304	319	3	δ	δ	PROPN
ejpam-6304	319	4	≥	≥	NOUN
ejpam-6304	319	5	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	319	6	∗	∗	NOUN
ejpam-6304	319	7	δ	δ	PROPN
ejpam-6304	319	8	(	(	PUNCT
ejpam-6304	319	9	4.2	4.2	NUM
ejpam-6304	319	10	)	)	PUNCT
ejpam-6304	319	11	let	let	VERB
ejpam-6304	319	12	η1(ϖ,φ	η1(ϖ,φ	X
ejpam-6304	319	13	)	)	PUNCT
ejpam-6304	319	14	>	>	PUNCT
ejpam-6304	319	15	r	r	NOUN
ejpam-6304	319	16	⇒	⇒	NOUN
ejpam-6304	319	17	∨	∨	NUM
ejpam-6304	319	18	{	{	PUNCT
ejpam-6304	319	19	0	0	NUM
ejpam-6304	319	20	<	<	X
ejpam-6304	319	21	δ	δ	X
ejpam-6304	319	22	<	<	X
ejpam-6304	319	23	1	1	NUM
ejpam-6304	319	24	:	:	PUNCT
ejpam-6304	319	25	∥ϖ∥1δ	∥ϖ∥1δ	PROPN
ejpam-6304	319	26	≤	≤	NOUN
ejpam-6304	319	27	φ	φ	PROPN
ejpam-6304	319	28	}	}	PUNCT
ejpam-6304	319	29	>	>	PUNCT
ejpam-6304	319	30	r.	r.	PROPN
ejpam-6304	319	31	hence	hence	ADV
ejpam-6304	319	32	there	there	PRON
ejpam-6304	319	33	exists	exist	VERB
ejpam-6304	319	34	0	0	PUNCT
ejpam-6304	319	35	<	<	X
ejpam-6304	319	36	δ0	δ0	NOUN
ejpam-6304	319	37	<	<	X
ejpam-6304	319	38	1	1	NUM
ejpam-6304	319	39	such	such	ADJ
ejpam-6304	319	40	that	that	SCONJ
ejpam-6304	319	41	δ0	δ0	NOUN
ejpam-6304	319	42	>	>	X
ejpam-6304	319	43	r	r	NOUN
ejpam-6304	319	44	and	and	CCONJ
ejpam-6304	319	45	∥ϖ∥1δ0	∥ϖ∥1δ0	PROPN
ejpam-6304	319	46	≤	≤	PROPN
ejpam-6304	319	47	φ	φ	PROPN
ejpam-6304	319	48	there	there	PRON
ejpam-6304	319	49	exists	exist	VERB
ejpam-6304	319	50	0	0	PUNCT
ejpam-6304	319	51	<	<	X
ejpam-6304	319	52	δ0	δ0	NOUN
ejpam-6304	319	53	<	<	X
ejpam-6304	319	54	1	1	NUM
ejpam-6304	319	55	such	such	ADJ
ejpam-6304	319	56	that	that	SCONJ
ejpam-6304	319	57	δ0	δ0	NOUN
ejpam-6304	319	58	>	>	X
ejpam-6304	319	59	r	r	NOUN
ejpam-6304	319	60	and	and	CCONJ
ejpam-6304	319	61	∥υϖ̃∥2δ0	∥υϖ̃∥2δ0	ADV
ejpam-6304	319	62	≤	≤	ADJ
ejpam-6304	319	63	φ	φ	PROPN
ejpam-6304	319	64	(	(	PUNCT
ejpam-6304	319	65	by	by	ADP
ejpam-6304	319	66	equation	equation	NOUN
ejpam-6304	319	67	(	(	PUNCT
ejpam-6304	319	68	4.2	4.2	NUM
ejpam-6304	319	69	)	)	PUNCT
ejpam-6304	319	70	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	319	71	)	)	PUNCT
ejpam-6304	319	72	,	,	PUNCT
ejpam-6304	319	73	φ	φ	NUM
ejpam-6304	319	74	)	)	PUNCT
ejpam-6304	319	75	≥	≥	NUM
ejpam-6304	319	76	δ0	δ0	NOUN
ejpam-6304	319	77	>	>	PROPN
ejpam-6304	319	78	r.	r.	PROPN
ejpam-6304	319	79	therefore	therefore	ADV
ejpam-6304	319	80	,	,	PUNCT
ejpam-6304	319	81	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	319	82	)	)	PUNCT
ejpam-6304	319	83	,	,	PUNCT
ejpam-6304	319	84	φ	φ	NUM
ejpam-6304	319	85	)	)	PUNCT
ejpam-6304	319	86	≥	≥	NOUN
ejpam-6304	319	87	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	319	88	)	)	PUNCT
ejpam-6304	319	89	.	.	PUNCT
ejpam-6304	320	1	let	let	VERB
ejpam-6304	320	2	ρ1(ϖ,φ	ρ1(ϖ,φ	X
ejpam-6304	320	3	)	)	PUNCT
ejpam-6304	320	4	<	<	X
ejpam-6304	320	5	s	s	X
ejpam-6304	320	6	⇒	⇒	NOUN
ejpam-6304	320	7	∧{0	∧{0	VERB
ejpam-6304	320	8	<	<	X
ejpam-6304	320	9	δ	δ	X
ejpam-6304	320	10	<	<	X
ejpam-6304	320	11	1	1	NUM
ejpam-6304	320	12	:	:	PUNCT
ejpam-6304	320	13	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	320	14	∗	∗	PROPN
ejpam-6304	320	15	δ	δ	PROPN
ejpam-6304	320	16	≥	≥	PROPN
ejpam-6304	320	17	φ	φ	NUM
ejpam-6304	320	18	}	}	PUNCT
ejpam-6304	320	19	<	<	X
ejpam-6304	320	20	s.	s.	PROPN
ejpam-6304	320	21	hence	hence	ADV
ejpam-6304	320	22	there	there	PRON
ejpam-6304	320	23	exists	exist	VERB
ejpam-6304	320	24	0	0	PUNCT
ejpam-6304	320	25	<	<	X
ejpam-6304	320	26	δ0	δ0	NOUN
ejpam-6304	320	27	<	<	X
ejpam-6304	320	28	1	1	NUM
ejpam-6304	320	29	such	such	ADJ
ejpam-6304	320	30	that	that	SCONJ
ejpam-6304	320	31	δ0	δ0	NOUN
ejpam-6304	320	32	<	<	X
ejpam-6304	320	33	s	s	X
ejpam-6304	320	34	and	and	CCONJ
ejpam-6304	320	35	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	320	36	∗	∗	NOUN
ejpam-6304	320	37	δ0	δ0	NOUN
ejpam-6304	320	38	≤	≤	PROPN
ejpam-6304	320	39	φ	φ	NUM
ejpam-6304	320	40	therefore	therefore	ADV
ejpam-6304	320	41	there	there	PRON
ejpam-6304	320	42	exists	exist	VERB
ejpam-6304	320	43	0	0	PUNCT
ejpam-6304	320	44	<	<	X
ejpam-6304	320	45	δ0	δ0	NOUN
ejpam-6304	320	46	<	<	X
ejpam-6304	320	47	1	1	NUM
ejpam-6304	320	48	such	such	ADJ
ejpam-6304	320	49	that	that	SCONJ
ejpam-6304	320	50	δ0	δ0	NOUN
ejpam-6304	320	51	<	<	X
ejpam-6304	320	52	s	s	X
ejpam-6304	320	53	and	and	CCONJ
ejpam-6304	320	54	∥υ(ϖ)∥2	∥υ(ϖ)∥2	ADJ
ejpam-6304	320	55	∗	∗	NOUN
ejpam-6304	320	56	δ	δ	PROPN
ejpam-6304	320	57	≤	≤	PROPN
ejpam-6304	320	58	φ	φ	PROPN
ejpam-6304	320	59	(	(	PUNCT
ejpam-6304	320	60	by	by	ADP
ejpam-6304	320	61	equation	equation	NOUN
ejpam-6304	320	62	(	(	PUNCT
ejpam-6304	320	63	4.2	4.2	NUM
ejpam-6304	320	64	)	)	PUNCT
ejpam-6304	320	65	ρ2(υ(ϖ	ρ2(υ(ϖ	NOUN
ejpam-6304	320	66	)	)	PUNCT
ejpam-6304	320	67	,	,	PUNCT
ejpam-6304	320	68	φ	φ	NUM
ejpam-6304	320	69	)	)	PUNCT
ejpam-6304	320	70	≤	≤	NOUN
ejpam-6304	320	71	δ0	δ0	NOUN
ejpam-6304	320	72	<	<	X
ejpam-6304	320	73	s.	s.	PROPN
ejpam-6304	320	74	therefore	therefore	ADV
ejpam-6304	320	75	,	,	PUNCT
ejpam-6304	320	76	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	320	77	)	)	PUNCT
ejpam-6304	320	78	,	,	PUNCT
ejpam-6304	320	79	φ	φ	NUM
ejpam-6304	320	80	)	)	PUNCT
ejpam-6304	320	81	≤	≤	NOUN
ejpam-6304	320	82	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	320	83	)	)	PUNCT
ejpam-6304	320	84	.	.	PUNCT
ejpam-6304	321	1	let	let	VERB
ejpam-6304	321	2	ς1(ϖ,φ	ς1(ϖ,φ	X
ejpam-6304	321	3	)	)	PUNCT
ejpam-6304	321	4	<	<	X
ejpam-6304	321	5	s	s	PART
ejpam-6304	321	6	⇒	⇒	NOUN
ejpam-6304	321	7	∧{0	∧{0	VERB
ejpam-6304	321	8	<	<	X
ejpam-6304	321	9	δ	δ	X
ejpam-6304	321	10	<	<	X
ejpam-6304	321	11	1	1	NUM
ejpam-6304	321	12	:	:	PUNCT
ejpam-6304	321	13	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	321	14	∗	∗	PROPN
ejpam-6304	321	15	δ	δ	PROPN
ejpam-6304	321	16	≥	≥	PROPN
ejpam-6304	321	17	φ	φ	NUM
ejpam-6304	321	18	}	}	PUNCT
ejpam-6304	321	19	<	<	X
ejpam-6304	321	20	s.	s.	PROPN
ejpam-6304	321	21	therefore	therefore	ADV
ejpam-6304	321	22	there	there	PRON
ejpam-6304	321	23	exists	exist	VERB
ejpam-6304	321	24	0	0	PUNCT
ejpam-6304	321	25	<	<	X
ejpam-6304	321	26	δ0	δ0	NOUN
ejpam-6304	321	27	<	<	X
ejpam-6304	321	28	1	1	NUM
ejpam-6304	321	29	such	such	ADJ
ejpam-6304	321	30	that	that	SCONJ
ejpam-6304	321	31	δ0	δ0	NOUN
ejpam-6304	321	32	<	<	X
ejpam-6304	321	33	s	s	X
ejpam-6304	321	34	and	and	CCONJ
ejpam-6304	321	35	∥ϖ∥1	∥ϖ∥1	NOUN
ejpam-6304	321	36	∗	∗	NOUN
ejpam-6304	321	37	δ0	δ0	NOUN
ejpam-6304	321	38	≤	≤	NOUN
ejpam-6304	321	39	φ	φ	NOUN
ejpam-6304	321	40	hence	hence	ADV
ejpam-6304	321	41	there	there	PRON
ejpam-6304	321	42	exists	exist	VERB
ejpam-6304	321	43	0	0	PUNCT
ejpam-6304	321	44	<	<	X
ejpam-6304	321	45	δ0	δ0	NOUN
ejpam-6304	321	46	<	<	X
ejpam-6304	321	47	1	1	NUM
ejpam-6304	321	48	such	such	ADJ
ejpam-6304	321	49	that	that	SCONJ
ejpam-6304	321	50	δ0	δ0	NOUN
ejpam-6304	321	51	<	<	X
ejpam-6304	321	52	s	s	X
ejpam-6304	321	53	and	and	CCONJ
ejpam-6304	321	54	∥υ(ϖ)∥2	∥υ(ϖ)∥2	ADJ
ejpam-6304	321	55	∗	∗	NOUN
ejpam-6304	321	56	δ	δ	PROPN
ejpam-6304	321	57	≤	≤	PROPN
ejpam-6304	321	58	φ	φ	PROPN
ejpam-6304	321	59	(	(	PUNCT
ejpam-6304	321	60	by	by	ADP
ejpam-6304	321	61	equation	equation	NOUN
ejpam-6304	321	62	(	(	PUNCT
ejpam-6304	321	63	4.2	4.2	NUM
ejpam-6304	321	64	)	)	PUNCT
ejpam-6304	321	65	)	)	PUNCT
ejpam-6304	322	1	ς2(υ(ϖ	ς2(υ(ϖ	X
ejpam-6304	322	2	)	)	PUNCT
ejpam-6304	322	3	,	,	PUNCT
ejpam-6304	322	4	φ	φ	NUM
ejpam-6304	322	5	)	)	PUNCT
ejpam-6304	322	6	≤	≤	NOUN
ejpam-6304	322	7	δ0	δ0	NOUN
ejpam-6304	322	8	<	<	X
ejpam-6304	322	9	s.	s.	PROPN
ejpam-6304	322	10	therefore	therefore	ADV
ejpam-6304	322	11	,	,	PUNCT
ejpam-6304	322	12	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	322	13	)	)	PUNCT
ejpam-6304	322	14	,	,	PUNCT
ejpam-6304	322	15	ϵ	ϵ	X
ejpam-6304	322	16	)	)	PUNCT
ejpam-6304	322	17	≤	≤	NOUN
ejpam-6304	322	18	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	322	19	)	)	PUNCT
ejpam-6304	322	20	.	.	PUNCT
ejpam-6304	323	1	hence	hence	ADV
ejpam-6304	323	2	υ	υ	PROPN
ejpam-6304	323	3	is	be	AUX
ejpam-6304	323	4	strongly	strongly	ADV
ejpam-6304	323	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	323	6	bounded	bound	VERB
ejpam-6304	323	7	.	.	PUNCT
ejpam-6304	324	1	theorem	theorem	VERB
ejpam-6304	324	2	11	11	NUM
ejpam-6304	324	3	.	.	PUNCT
ejpam-6304	325	1	if	if	SCONJ
ejpam-6304	325	2	a	a	DET
ejpam-6304	325	3	linear	linear	ADJ
ejpam-6304	325	4	operator	operator	NOUN
ejpam-6304	325	5	υ	υ	NOUN
ejpam-6304	325	6	:	:	PUNCT
ejpam-6304	325	7	(	(	PUNCT
ejpam-6304	325	8	f	f	X
ejpam-6304	325	9	,	,	PUNCT
ejpam-6304	325	10	η1	η1	NOUN
ejpam-6304	325	11	,	,	PUNCT
ejpam-6304	325	12	ρ1	ρ1	NOUN
ejpam-6304	325	13	,	,	PUNCT
ejpam-6304	325	14	ς1	ς1	NOUN
ejpam-6304	325	15	)	)	PUNCT
ejpam-6304	325	16	→	→	SYM
ejpam-6304	325	17	(	(	PUNCT
ejpam-6304	325	18	g	g	NOUN
ejpam-6304	325	19	,	,	PUNCT
ejpam-6304	325	20	η2	η2	NOUN
ejpam-6304	325	21	,	,	PUNCT
ejpam-6304	325	22	ρ2	ρ2	NOUN
ejpam-6304	325	23	,	,	PUNCT
ejpam-6304	325	24	ς2	ς2	PROPN
ejpam-6304	325	25	)	)	PUNCT
ejpam-6304	325	26	is	be	AUX
ejpam-6304	325	27	strongly	strongly	ADV
ejpam-6304	325	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	325	29	bounded	bound	VERB
ejpam-6304	326	1	if	if	SCONJ
ejpam-6304	326	2	and	and	CCONJ
ejpam-6304	326	3	if	if	SCONJ
ejpam-6304	326	4	it	it	PRON
ejpam-6304	326	5	is	be	AUX
ejpam-6304	326	6	strongly	strongly	ADV
ejpam-6304	326	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	326	8	continuous	continuous	ADJ
ejpam-6304	326	9	,	,	PUNCT
ejpam-6304	326	10	where	where	SCONJ
ejpam-6304	326	11	(	(	PUNCT
ejpam-6304	326	12	f	f	X
ejpam-6304	326	13	,	,	PUNCT
ejpam-6304	326	14	η1	η1	NOUN
ejpam-6304	326	15	,	,	PUNCT
ejpam-6304	326	16	ρ1	ρ1	NOUN
ejpam-6304	326	17	,	,	PUNCT
ejpam-6304	326	18	ς1	ς1	NOUN
ejpam-6304	326	19	)	)	PUNCT
ejpam-6304	326	20	and	and	CCONJ
ejpam-6304	326	21	(	(	PUNCT
ejpam-6304	326	22	g	g	NOUN
ejpam-6304	326	23	,	,	PUNCT
ejpam-6304	326	24	η2	η2	NOUN
ejpam-6304	326	25	,	,	PUNCT
ejpam-6304	326	26	ρ2	ρ2	NOUN
ejpam-6304	326	27	,	,	PUNCT
ejpam-6304	326	28	ς2	ς2	PROPN
ejpam-6304	326	29	)	)	PUNCT
ejpam-6304	326	30	are	be	AUX
ejpam-6304	326	31	npnls	npnls	NOUN
ejpam-6304	326	32	.	.	PUNCT
ejpam-6304	327	1	proof	proof	NOUN
ejpam-6304	327	2	.	.	PUNCT
ejpam-6304	328	1	suppose	suppose	VERB
ejpam-6304	328	2	υ	υ	NOUN
ejpam-6304	328	3	is	be	AUX
ejpam-6304	328	4	strongly	strongly	ADV
ejpam-6304	328	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	328	6	bounded	bound	VERB
ejpam-6304	328	7	then	then	ADV
ejpam-6304	328	8	for	for	ADP
ejpam-6304	328	9	all	all	PRON
ejpam-6304	328	10	ϖ	ϖ	NOUN
ejpam-6304	328	11	∈	∈	PROPN
ejpam-6304	328	12	f	f	PROPN
ejpam-6304	328	13	and	and	CCONJ
ejpam-6304	328	14	ϵ	ϵ	PROPN
ejpam-6304	328	15	∈	∈	PROPN
ejpam-6304	328	16	r+	r+	ADV
ejpam-6304	328	17	,	,	PUNCT
ejpam-6304	328	18	we	we	PRON
ejpam-6304	328	19	have	have	VERB
ejpam-6304	328	20	⇒	⇒	NOUN
ejpam-6304	328	21	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	328	22	)	)	PUNCT
ejpam-6304	328	23	,	,	PUNCT
ejpam-6304	328	24	ϵ	ϵ	X
ejpam-6304	328	25	)	)	PUNCT
ejpam-6304	328	26	≥	≥	NOUN
ejpam-6304	328	27	η1(ϖ	η1(ϖ	NOUN
ejpam-6304	328	28	,	,	PUNCT
ejpam-6304	328	29	ϵ	ϵ	NOUN
ejpam-6304	328	30	)	)	PUNCT
ejpam-6304	328	31	,	,	PUNCT
ejpam-6304	328	32	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	328	33	)	)	PUNCT
ejpam-6304	328	34	,	,	PUNCT
ejpam-6304	329	1	ϵ	ϵ	X
ejpam-6304	329	2	)	)	PUNCT
ejpam-6304	329	3	≤	≤	NOUN
ejpam-6304	329	4	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	329	5	,	,	PUNCT
ejpam-6304	329	6	ϵ	ϵ	NOUN
ejpam-6304	329	7	)	)	PUNCT
ejpam-6304	329	8	and	and	CCONJ
ejpam-6304	329	9	ς2(υ(ϖ	ς2(υ(ϖ	NOUN
ejpam-6304	329	10	)	)	PUNCT
ejpam-6304	329	11	,	,	PUNCT
ejpam-6304	329	12	ϵ	ϵ	X
ejpam-6304	329	13	)	)	PUNCT
ejpam-6304	329	14	≤	≤	NOUN
ejpam-6304	329	15	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	329	16	,	,	PUNCT
ejpam-6304	329	17	ϵ	ϵ	NOUN
ejpam-6304	329	18	)	)	PUNCT
ejpam-6304	329	19	.	.	PUNCT
ejpam-6304	330	1	η2(υ(ϖ	η2(υ(ϖ	PROPN
ejpam-6304	330	2	−	−	X
ejpam-6304	330	3	ϑ	ϑ	NOUN
ejpam-6304	330	4	)	)	PUNCT
ejpam-6304	330	5	,	,	PUNCT
ejpam-6304	330	6	ϵ	ϵ	X
ejpam-6304	330	7	)	)	PUNCT
ejpam-6304	330	8	≥	≥	NOUN
ejpam-6304	330	9	η1(ϖ	η1(ϖ	NUM
ejpam-6304	330	10	−	−	PROPN
ejpam-6304	330	11	ϑ	ϑ	X
ejpam-6304	330	12	,	,	PUNCT
ejpam-6304	330	13	ϵ	ϵ	NOUN
ejpam-6304	330	14	)	)	PUNCT
ejpam-6304	330	15	,	,	PUNCT
ejpam-6304	330	16	ρ2(υ(ϖ	ρ2(υ(ϖ	PROPN
ejpam-6304	330	17	−	−	PROPN
ejpam-6304	330	18	ϑ	ϑ	NOUN
ejpam-6304	330	19	)	)	PUNCT
ejpam-6304	330	20	,	,	PUNCT
ejpam-6304	330	21	ϵ	ϵ	X
ejpam-6304	330	22	)	)	PUNCT
ejpam-6304	330	23	≤	≤	NOUN
ejpam-6304	331	1	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	331	2	−	−	NOUN
ejpam-6304	331	3	ϑ	ϑ	X
ejpam-6304	331	4	,	,	PUNCT
ejpam-6304	331	5	ϵ	ϵ	NOUN
ejpam-6304	331	6	)	)	PUNCT
ejpam-6304	332	1	and	and	CCONJ
ejpam-6304	332	2	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	332	3	−	−	PROPN
ejpam-6304	332	4	ϑ	ϑ	X
ejpam-6304	332	5	)	)	PUNCT
ejpam-6304	332	6	,	,	PUNCT
ejpam-6304	332	7	ϵ	ϵ	X
ejpam-6304	332	8	)	)	PUNCT
ejpam-6304	332	9	≤	≤	NOUN
ejpam-6304	333	1	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	333	2	−	−	PROPN
ejpam-6304	333	3	ϑ	ϑ	X
ejpam-6304	333	4	,	,	PUNCT
ejpam-6304	333	5	ϵ	ϵ	NOUN
ejpam-6304	333	6	)	)	PUNCT
ejpam-6304	333	7	.	.	PUNCT
ejpam-6304	334	1	η2(υ(ϖ)−υ(ϑ	η2(υ(ϖ)−υ(ϑ	VERB
ejpam-6304	334	2	)	)	PUNCT
ejpam-6304	334	3	,	,	PUNCT
ejpam-6304	334	4	ϵ	ϵ	X
ejpam-6304	334	5	)	)	PUNCT
ejpam-6304	334	6	≥	≥	NOUN
ejpam-6304	334	7	η1(ϖ	η1(ϖ	NUM
ejpam-6304	334	8	−	−	PROPN
ejpam-6304	334	9	ϑ	ϑ	PROPN
ejpam-6304	334	10	,	,	PUNCT
ejpam-6304	334	11	γ	γ	NOUN
ejpam-6304	334	12	)	)	PUNCT
ejpam-6304	334	13	,	,	PUNCT
ejpam-6304	334	14	ρ2(υ(ϖ)−υ(ϑ	ρ2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	334	15	)	)	PUNCT
ejpam-6304	334	16	,	,	PUNCT
ejpam-6304	334	17	ϵ	ϵ	X
ejpam-6304	334	18	)	)	PUNCT
ejpam-6304	334	19	≤	≤	NOUN
ejpam-6304	335	1	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	335	2	−	−	NUM
ejpam-6304	335	3	ϑ	ϑ	X
ejpam-6304	335	4	,	,	PUNCT
ejpam-6304	335	5	γ	γ	NOUN
ejpam-6304	335	6	)	)	PUNCT
ejpam-6304	335	7	and	and	CCONJ
ejpam-6304	335	8	ς2(υ(ϖ)−υ(ϑ	ς2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	335	9	)	)	PUNCT
ejpam-6304	335	10	,	,	PUNCT
ejpam-6304	335	11	ϵ	ϵ	X
ejpam-6304	335	12	)	)	PUNCT
ejpam-6304	335	13	≤	≤	NOUN
ejpam-6304	335	14	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	335	15	−	−	PROPN
ejpam-6304	335	16	ϑ	ϑ	X
ejpam-6304	335	17	,	,	PUNCT
ejpam-6304	335	18	γ	γ	NOUN
ejpam-6304	335	19	)	)	PUNCT
ejpam-6304	335	20	.	.	PUNCT
ejpam-6304	336	1	therefore	therefore	ADV
ejpam-6304	336	2	υ	υ	PROPN
ejpam-6304	336	3	is	be	AUX
ejpam-6304	336	4	strongly	strongly	ADV
ejpam-6304	336	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	336	6	continuous	continuous	ADJ
ejpam-6304	336	7	at	at	ADP
ejpam-6304	336	8	ϑ	ϑ	NOUN
ejpam-6304	336	9	and	and	CCONJ
ejpam-6304	336	10	hence	hence	ADV
ejpam-6304	336	11	by	by	ADP
ejpam-6304	336	12	theorem	theorem	NOUN
ejpam-6304	336	13	(	(	PUNCT
ejpam-6304	336	14	6	6	NUM
ejpam-6304	336	15	)	)	PUNCT
ejpam-6304	336	16	υ	υ	NOUN
ejpam-6304	336	17	is	be	AUX
ejpam-6304	336	18	strongly	strongly	ADV
ejpam-6304	336	19	neutrosophic	neutrosophic	ADJ
ejpam-6304	336	20	continuous	continuous	ADJ
ejpam-6304	336	21	on	on	ADP
ejpam-6304	336	22	f.	f.	PROPN
ejpam-6304	336	23	conversely	conversely	ADV
ejpam-6304	336	24	,	,	PUNCT
ejpam-6304	336	25	suppose	suppose	VERB
ejpam-6304	336	26	υ	υ	PRON
ejpam-6304	336	27	is	be	AUX
ejpam-6304	336	28	strongly	strongly	ADV
ejpam-6304	336	29	neutrosophic	neutrosophic	ADJ
ejpam-6304	336	30	continuous	continuous	ADJ
ejpam-6304	336	31	on	on	ADP
ejpam-6304	336	32	f.	f.	PROPN
ejpam-6304	336	33	then	then	ADV
ejpam-6304	336	34	υ	υ	PROPN
ejpam-6304	336	35	is	be	AUX
ejpam-6304	336	36	strongly	strongly	ADV
ejpam-6304	336	37	neutrosophic	neutrosophic	ADJ
ejpam-6304	336	38	continuous	continuous	ADJ
ejpam-6304	336	39	at	at	ADP
ejpam-6304	336	40	any	any	DET
ejpam-6304	336	41	point	point	NOUN
ejpam-6304	336	42	of	of	ADP
ejpam-6304	336	43	f	f	AUX
ejpam-6304	336	44	,	,	PUNCT
ejpam-6304	336	45	say	say	VERB
ejpam-6304	336	46	ϑ	ϑ	X
ejpam-6304	336	47	,	,	PUNCT
ejpam-6304	336	48	for	for	ADP
ejpam-6304	336	49	all	all	PRON
ejpam-6304	336	50	ϖ	ϖ	PRON
ejpam-6304	336	51	∈	∈	NOUN
ejpam-6304	336	52	f	f	AUX
ejpam-6304	336	53	take	take	VERB
ejpam-6304	336	54	ϵ	ϵ	X
ejpam-6304	336	55	=	=	SYM
ejpam-6304	336	56	φ	φ	PROPN
ejpam-6304	336	57	=	=	SYM
ejpam-6304	336	58	δ	δ	PROPN
ejpam-6304	336	59	,	,	PUNCT
ejpam-6304	336	60	then	then	ADV
ejpam-6304	336	61	η2(υ(ϖ)−υ(ϑ	η2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	336	62	)	)	PUNCT
ejpam-6304	336	63	,	,	PUNCT
ejpam-6304	336	64	φ	φ	NUM
ejpam-6304	336	65	)	)	PUNCT
ejpam-6304	336	66	≥	≥	NOUN
ejpam-6304	336	67	η1(ϖ	η1(ϖ	NUM
ejpam-6304	336	68	−	−	PROPN
ejpam-6304	336	69	ϑ	ϑ	PROPN
ejpam-6304	336	70	,	,	PUNCT
ejpam-6304	336	71	φ	φ	NOUN
ejpam-6304	336	72	)	)	PUNCT
ejpam-6304	336	73	,	,	PUNCT
ejpam-6304	336	74	ρ2(υ(ϖ)−υ(ϑ	ρ2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	336	75	)	)	PUNCT
ejpam-6304	336	76	,	,	PUNCT
ejpam-6304	336	77	φ	φ	NOUN
ejpam-6304	336	78	)	)	PUNCT
ejpam-6304	336	79	≤	≤	NOUN
ejpam-6304	337	1	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	337	2	−	−	NUM
ejpam-6304	337	3	ϑ	ϑ	X
ejpam-6304	337	4	,	,	PUNCT
ejpam-6304	337	5	φ	φ	NUM
ejpam-6304	337	6	)	)	PUNCT
ejpam-6304	337	7	and	and	CCONJ
ejpam-6304	337	8	ς2(υ(ϖ)−υ(ϑ	ς2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	337	9	)	)	PUNCT
ejpam-6304	337	10	,	,	PUNCT
ejpam-6304	337	11	φ	φ	NOUN
ejpam-6304	337	12	)	)	PUNCT
ejpam-6304	337	13	≤	≤	NOUN
ejpam-6304	338	1	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	338	2	−	−	PROPN
ejpam-6304	338	3	ϑ	ϑ	X
ejpam-6304	338	4	,	,	PUNCT
ejpam-6304	338	5	φ	φ	NOUN
ejpam-6304	338	6	)	)	PUNCT
ejpam-6304	338	7	.	.	PUNCT
ejpam-6304	339	1	hence	hence	ADV
ejpam-6304	339	2	,	,	PUNCT
ejpam-6304	339	3	η2(υ(ϖ	η2(υ(ϖ	PROPN
ejpam-6304	339	4	)	)	PUNCT
ejpam-6304	339	5	,	,	PUNCT
ejpam-6304	339	6	φ	φ	NUM
ejpam-6304	339	7	)	)	PUNCT
ejpam-6304	339	8	≥	≥	NOUN
ejpam-6304	339	9	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	339	10	)	)	PUNCT
ejpam-6304	339	11	,	,	PUNCT
ejpam-6304	339	12	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	339	13	)	)	PUNCT
ejpam-6304	339	14	,	,	PUNCT
ejpam-6304	339	15	φ	φ	NUM
ejpam-6304	339	16	)	)	PUNCT
ejpam-6304	339	17	≤	≤	NOUN
ejpam-6304	339	18	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	339	19	)	)	PUNCT
ejpam-6304	339	20	and	and	CCONJ
ejpam-6304	339	21	ς2(υ(ϖ	ς2(υ(ϖ	NOUN
ejpam-6304	339	22	)	)	PUNCT
ejpam-6304	339	23	,	,	PUNCT
ejpam-6304	339	24	φ	φ	NOUN
ejpam-6304	339	25	)	)	PUNCT
ejpam-6304	339	26	≤	≤	NOUN
ejpam-6304	339	27	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	339	28	)	)	PUNCT
ejpam-6304	339	29	.	.	PUNCT
ejpam-6304	340	1	pandiselvi	pandiselvi	ADJ
ejpam-6304	340	2	.	.	PUNCT
ejpam-6304	341	1	m	m	PROPN
ejpam-6304	341	2	,	,	PUNCT
ejpam-6304	341	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	341	4	.	.	PUNCT
ejpam-6304	342	1	m	m	PROPN
ejpam-6304	342	2	andmohammad	andmohammad	PROPN
ejpam-6304	342	3	akram	akram	PROPN
ejpam-6304	342	4	/	/	PUNCT
ejpam-6304	342	5	eur	eur	PROPN
ejpam-6304	342	6	.	.	PUNCT
ejpam-6304	343	1	j.	j.	PROPN
ejpam-6304	343	2	pure	pure	PROPN
ejpam-6304	343	3	appl	appl	PROPN
ejpam-6304	343	4	.	.	PROPN
ejpam-6304	343	5	math	math	PROPN
ejpam-6304	343	6	,	,	PUNCT
ejpam-6304	343	7	18	18	NUM
ejpam-6304	343	8	(	(	PUNCT
ejpam-6304	343	9	3	3	NUM
ejpam-6304	343	10	)	)	PUNCT
ejpam-6304	343	11	(	(	PUNCT
ejpam-6304	343	12	2025	2025	NUM
ejpam-6304	343	13	)	)	PUNCT
ejpam-6304	343	14	,	,	PUNCT
ejpam-6304	343	15	6304	6304	NUM
ejpam-6304	343	16	13	13	NUM
ejpam-6304	343	17	of	of	ADP
ejpam-6304	343	18	15	15	NUM
ejpam-6304	343	19	if	if	SCONJ
ejpam-6304	343	20	ϖ	ϖ	NOUN
ejpam-6304	343	21	=	=	SYM
ejpam-6304	343	22	ϑ	ϑ	X
ejpam-6304	343	23	,	,	PUNCT
ejpam-6304	343	24	φ	φ	X
ejpam-6304	343	25	>	>	X
ejpam-6304	343	26	0	0	PUNCT
ejpam-6304	343	27	then	then	ADV
ejpam-6304	343	28	η2(υ(ϑ	η2(υ(ϑ	PROPN
ejpam-6304	343	29	)	)	PUNCT
ejpam-6304	343	30	,	,	PUNCT
ejpam-6304	343	31	φ	φ	X
ejpam-6304	343	32	)	)	PUNCT
ejpam-6304	343	33	=	=	SYM
ejpam-6304	344	1	η2(ϑ	η2(ϑ	PROPN
ejpam-6304	344	2	,	,	PUNCT
ejpam-6304	344	3	φ	φ	NUM
ejpam-6304	344	4	)	)	PUNCT
ejpam-6304	344	5	=	=	SYM
ejpam-6304	344	6	1	1	NUM
ejpam-6304	344	7	=	=	SYM
ejpam-6304	344	8	η1(ϑ	η1(ϑ	PROPN
ejpam-6304	344	9	,	,	PUNCT
ejpam-6304	344	10	φ	φ	NOUN
ejpam-6304	344	11	)	)	PUNCT
ejpam-6304	344	12	,	,	PUNCT
ejpam-6304	344	13	ρ2(υ(ϑ	ρ2(υ(ϑ	PROPN
ejpam-6304	344	14	)	)	PUNCT
ejpam-6304	344	15	,	,	PUNCT
ejpam-6304	344	16	φ	φ	X
ejpam-6304	344	17	)	)	PUNCT
ejpam-6304	344	18	=	=	SYM
ejpam-6304	345	1	ρ2(ϑ	ρ2(ϑ	PROPN
ejpam-6304	345	2	,	,	PUNCT
ejpam-6304	345	3	φ	φ	NUM
ejpam-6304	345	4	)	)	PUNCT
ejpam-6304	345	5	=	=	SYM
ejpam-6304	345	6	0	0	PUNCT
ejpam-6304	346	1	=	=	SYM
ejpam-6304	346	2	ρ1(ϑ	ρ1(ϑ	PROPN
ejpam-6304	346	3	,	,	PUNCT
ejpam-6304	346	4	φ	φ	NUM
ejpam-6304	346	5	)	)	PUNCT
ejpam-6304	346	6	and	and	CCONJ
ejpam-6304	346	7	ς2(υ(ϑ	ς2(υ(ϑ	PROPN
ejpam-6304	346	8	)	)	PUNCT
ejpam-6304	346	9	,	,	PUNCT
ejpam-6304	346	10	φ	φ	X
ejpam-6304	346	11	)	)	PUNCT
ejpam-6304	346	12	=	=	SYM
ejpam-6304	346	13	ς2(ϑ	ς2(ϑ	PROPN
ejpam-6304	346	14	,	,	PUNCT
ejpam-6304	346	15	φ	φ	NUM
ejpam-6304	346	16	)	)	PUNCT
ejpam-6304	346	17	=	=	SYM
ejpam-6304	346	18	0	0	PUNCT
ejpam-6304	347	1	=	=	SYM
ejpam-6304	347	2	ς1(ϑ	ς1(ϑ	NUM
ejpam-6304	347	3	,	,	PUNCT
ejpam-6304	347	4	φ	φ	NOUN
ejpam-6304	347	5	)	)	PUNCT
ejpam-6304	347	6	.	.	PUNCT
ejpam-6304	348	1	for	for	ADP
ejpam-6304	348	2	any	any	DET
ejpam-6304	348	3	ϖ,φ	ϖ,φ	PROPN
ejpam-6304	348	4	≤	≤	X
ejpam-6304	348	5	0,⇒	0,⇒	X
ejpam-6304	348	6	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	348	7	)	)	PUNCT
ejpam-6304	348	8	,	,	PUNCT
ejpam-6304	348	9	φ	φ	NUM
ejpam-6304	348	10	)	)	PUNCT
ejpam-6304	348	11	=	=	SYM
ejpam-6304	348	12	0	0	PUNCT
ejpam-6304	348	13	=	=	SYM
ejpam-6304	349	1	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	349	2	)	)	PUNCT
ejpam-6304	349	3	,	,	PUNCT
ejpam-6304	349	4	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	349	5	)	)	PUNCT
ejpam-6304	349	6	,	,	PUNCT
ejpam-6304	349	7	φ	φ	NUM
ejpam-6304	349	8	)	)	PUNCT
ejpam-6304	349	9	=	=	SYM
ejpam-6304	349	10	1	1	NUM
ejpam-6304	349	11	=	=	SYM
ejpam-6304	349	12	ρ1(ϖ,φ	ρ1(ϖ,φ	X
ejpam-6304	349	13	)	)	PUNCT
ejpam-6304	349	14	and	and	CCONJ
ejpam-6304	349	15	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	349	16	)	)	PUNCT
ejpam-6304	349	17	,	,	PUNCT
ejpam-6304	349	18	φ	φ	NUM
ejpam-6304	349	19	)	)	PUNCT
ejpam-6304	349	20	=	=	SYM
ejpam-6304	349	21	0	0	PUNCT
ejpam-6304	349	22	=	=	SYM
ejpam-6304	349	23	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	349	24	)	)	PUNCT
ejpam-6304	349	25	.	.	PUNCT
ejpam-6304	350	1	hence	hence	ADV
ejpam-6304	350	2	for	for	ADP
ejpam-6304	350	3	all	all	PRON
ejpam-6304	350	4	ϖ	ϖ	PRON
ejpam-6304	350	5	∈	∈	PROPN
ejpam-6304	350	6	f	f	PROPN
ejpam-6304	350	7	and	and	CCONJ
ejpam-6304	350	8	φ	φ	PROPN
ejpam-6304	350	9	∈	∈	PROPN
ejpam-6304	350	10	r	r	X
ejpam-6304	350	11	,	,	PUNCT
ejpam-6304	350	12	υ	υ	PRON
ejpam-6304	350	13	is	be	AUX
ejpam-6304	350	14	strongly	strongly	ADV
ejpam-6304	350	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	350	16	bounded	bound	VERB
ejpam-6304	350	17	.	.	PUNCT
ejpam-6304	351	1	corollary	corollary	ADJ
ejpam-6304	351	2	2	2	NUM
ejpam-6304	351	3	.	.	PUNCT
ejpam-6304	352	1	if	if	SCONJ
ejpam-6304	352	2	a	a	DET
ejpam-6304	352	3	linear	linear	ADJ
ejpam-6304	352	4	operator	operator	NOUN
ejpam-6304	352	5	υ	υ	NOUN
ejpam-6304	352	6	:	:	PUNCT
ejpam-6304	352	7	(	(	PUNCT
ejpam-6304	352	8	f	f	X
ejpam-6304	352	9	,	,	PUNCT
ejpam-6304	352	10	η1	η1	NOUN
ejpam-6304	352	11	,	,	PUNCT
ejpam-6304	352	12	ρ1	ρ1	NOUN
ejpam-6304	352	13	,	,	PUNCT
ejpam-6304	352	14	ς1	ς1	NOUN
ejpam-6304	352	15	)	)	PUNCT
ejpam-6304	352	16	→	→	SYM
ejpam-6304	352	17	(	(	PUNCT
ejpam-6304	352	18	g	g	NOUN
ejpam-6304	352	19	,	,	PUNCT
ejpam-6304	352	20	η2	η2	NOUN
ejpam-6304	352	21	,	,	PUNCT
ejpam-6304	352	22	ρ2	ρ2	NOUN
ejpam-6304	352	23	,	,	PUNCT
ejpam-6304	352	24	ς2	ς2	PROPN
ejpam-6304	352	25	)	)	PUNCT
ejpam-6304	352	26	is	be	AUX
ejpam-6304	352	27	strongly	strongly	ADV
ejpam-6304	352	28	neutrosophic	neutrosophic	ADJ
ejpam-6304	352	29	bounded	bound	VERB
ejpam-6304	352	30	then	then	ADV
ejpam-6304	352	31	it	it	PRON
ejpam-6304	352	32	is	be	AUX
ejpam-6304	352	33	sequentially	sequentially	ADV
ejpam-6304	352	34	neutrosophic	neutrosophic	ADJ
ejpam-6304	352	35	bounded	bound	VERB
ejpam-6304	352	36	,	,	PUNCT
ejpam-6304	352	37	where	where	SCONJ
ejpam-6304	352	38	(	(	PUNCT
ejpam-6304	352	39	f	f	X
ejpam-6304	352	40	,	,	PUNCT
ejpam-6304	352	41	η1	η1	NOUN
ejpam-6304	352	42	,	,	PUNCT
ejpam-6304	352	43	ρ1	ρ1	NOUN
ejpam-6304	352	44	,	,	PUNCT
ejpam-6304	352	45	ς1	ς1	NOUN
ejpam-6304	352	46	)	)	PUNCT
ejpam-6304	352	47	and	and	CCONJ
ejpam-6304	352	48	(	(	PUNCT
ejpam-6304	352	49	g	g	NOUN
ejpam-6304	352	50	,	,	PUNCT
ejpam-6304	352	51	η2	η2	NOUN
ejpam-6304	352	52	,	,	PUNCT
ejpam-6304	352	53	ρ2	ρ2	NOUN
ejpam-6304	352	54	,	,	PUNCT
ejpam-6304	352	55	ς2	ς2	PROPN
ejpam-6304	352	56	)	)	PUNCT
ejpam-6304	352	57	are	be	AUX
ejpam-6304	352	58	npnls	npnls	NOUN
ejpam-6304	352	59	.	.	PUNCT
ejpam-6304	353	1	proof	proof	NOUN
ejpam-6304	353	2	.	.	PUNCT
ejpam-6304	354	1	the	the	DET
ejpam-6304	354	2	corollary	corollary	NOUN
ejpam-6304	354	3	arises	arise	VERB
ejpam-6304	354	4	as	as	ADP
ejpam-6304	354	5	a	a	DET
ejpam-6304	354	6	consequence	consequence	NOUN
ejpam-6304	354	7	of	of	ADP
ejpam-6304	354	8	theorem	theorem	NOUN
ejpam-6304	354	9	(	(	PUNCT
ejpam-6304	354	10	8)	8)	NUM
ejpam-6304	354	11	and	and	CCONJ
ejpam-6304	354	12	theorem	theorem	ADJ
ejpam-6304	354	13	(	(	PUNCT
ejpam-6304	354	14	11	11	NUM
ejpam-6304	354	15	)	)	PUNCT
ejpam-6304	354	16	.	.	PUNCT
ejpam-6304	355	1	corollary	corollary	ADJ
ejpam-6304	355	2	3	3	NUM
ejpam-6304	355	3	.	.	PUNCT
ejpam-6304	356	1	a	a	DET
ejpam-6304	356	2	linear	linear	ADJ
ejpam-6304	356	3	operator	operator	NOUN
ejpam-6304	356	4	υ	υ	NOUN
ejpam-6304	356	5	:	:	PUNCT
ejpam-6304	356	6	(	(	PUNCT
ejpam-6304	356	7	f	f	X
ejpam-6304	356	8	,	,	PUNCT
ejpam-6304	356	9	η1	η1	NOUN
ejpam-6304	356	10	,	,	PUNCT
ejpam-6304	356	11	ρ1	ρ1	NOUN
ejpam-6304	356	12	,	,	PUNCT
ejpam-6304	356	13	ς1	ς1	NOUN
ejpam-6304	356	14	)	)	PUNCT
ejpam-6304	356	15	→	→	SYM
ejpam-6304	356	16	(	(	PUNCT
ejpam-6304	356	17	g	g	NOUN
ejpam-6304	356	18	,	,	PUNCT
ejpam-6304	356	19	η2	η2	NOUN
ejpam-6304	356	20	,	,	PUNCT
ejpam-6304	356	21	ρ2	ρ2	NOUN
ejpam-6304	356	22	,	,	PUNCT
ejpam-6304	356	23	ς2	ς2	PROPN
ejpam-6304	356	24	)	)	PUNCT
ejpam-6304	356	25	is	be	AUX
ejpam-6304	356	26	strongly	strongly	ADV
ejpam-6304	356	27	neutrosophic	neutrosophic	ADJ
ejpam-6304	356	28	bounded	bound	VERB
ejpam-6304	356	29	then	then	ADV
ejpam-6304	356	30	it	it	PRON
ejpam-6304	356	31	is	be	AUX
ejpam-6304	356	32	neutrosophic	neutrosophic	ADJ
ejpam-6304	356	33	continuous	continuous	ADJ
ejpam-6304	356	34	,	,	PUNCT
ejpam-6304	356	35	where	where	SCONJ
ejpam-6304	356	36	(	(	PUNCT
ejpam-6304	356	37	f	f	X
ejpam-6304	356	38	,	,	PUNCT
ejpam-6304	356	39	η1	η1	NOUN
ejpam-6304	356	40	,	,	PUNCT
ejpam-6304	356	41	ρ1	ρ1	NOUN
ejpam-6304	356	42	,	,	PUNCT
ejpam-6304	356	43	ς1	ς1	NOUN
ejpam-6304	356	44	)	)	PUNCT
ejpam-6304	356	45	and	and	CCONJ
ejpam-6304	356	46	(	(	PUNCT
ejpam-6304	356	47	g	g	NOUN
ejpam-6304	356	48	,	,	PUNCT
ejpam-6304	356	49	η2	η2	NOUN
ejpam-6304	356	50	,	,	PUNCT
ejpam-6304	356	51	ρ2	ρ2	NOUN
ejpam-6304	356	52	,	,	PUNCT
ejpam-6304	356	53	ς2	ς2	PROPN
ejpam-6304	356	54	)	)	PUNCT
ejpam-6304	356	55	are	be	AUX
ejpam-6304	356	56	npnls	npnls	NOUN
ejpam-6304	356	57	.	.	PUNCT
ejpam-6304	357	1	theorem	theorem	NOUN
ejpam-6304	357	2	12	12	NUM
ejpam-6304	357	3	.	.	PUNCT
ejpam-6304	358	1	a	a	DET
ejpam-6304	358	2	linear	linear	ADJ
ejpam-6304	358	3	operator	operator	NOUN
ejpam-6304	358	4	υ	υ	NOUN
ejpam-6304	358	5	:	:	PUNCT
ejpam-6304	358	6	(	(	PUNCT
ejpam-6304	358	7	f	f	X
ejpam-6304	358	8	,	,	PUNCT
ejpam-6304	358	9	η1	η1	NOUN
ejpam-6304	358	10	,	,	PUNCT
ejpam-6304	358	11	ρ1	ρ1	NOUN
ejpam-6304	358	12	,	,	PUNCT
ejpam-6304	358	13	ς1	ς1	NOUN
ejpam-6304	358	14	)	)	PUNCT
ejpam-6304	358	15	→	→	SYM
ejpam-6304	358	16	(	(	PUNCT
ejpam-6304	358	17	g	g	NOUN
ejpam-6304	358	18	,	,	PUNCT
ejpam-6304	358	19	η2	η2	NOUN
ejpam-6304	358	20	,	,	PUNCT
ejpam-6304	358	21	ρ2	ρ2	NOUN
ejpam-6304	358	22	,	,	PUNCT
ejpam-6304	358	23	ς2	ς2	PROPN
ejpam-6304	358	24	)	)	PUNCT
ejpam-6304	358	25	is	be	AUX
ejpam-6304	358	26	weakly	weakly	ADV
ejpam-6304	358	27	neutrosophic	neutrosophic	ADJ
ejpam-6304	358	28	continuous	continuous	ADJ
ejpam-6304	358	29	if	if	SCONJ
ejpam-6304	359	1	and	and	CCONJ
ejpam-6304	359	2	if	if	SCONJ
ejpam-6304	359	3	it	it	PRON
ejpam-6304	359	4	is	be	AUX
ejpam-6304	359	5	weakly	weakly	ADV
ejpam-6304	359	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	359	7	bounded	bound	VERB
ejpam-6304	359	8	,	,	PUNCT
ejpam-6304	359	9	where	where	SCONJ
ejpam-6304	359	10	(	(	PUNCT
ejpam-6304	359	11	f	f	X
ejpam-6304	359	12	,	,	PUNCT
ejpam-6304	359	13	η1	η1	NOUN
ejpam-6304	359	14	,	,	PUNCT
ejpam-6304	359	15	ρ1	ρ1	NOUN
ejpam-6304	359	16	,	,	PUNCT
ejpam-6304	359	17	ς1	ς1	NOUN
ejpam-6304	359	18	)	)	PUNCT
ejpam-6304	359	19	and	and	CCONJ
ejpam-6304	359	20	(	(	PUNCT
ejpam-6304	359	21	g	g	NOUN
ejpam-6304	359	22	,	,	PUNCT
ejpam-6304	359	23	η2	η2	NOUN
ejpam-6304	359	24	,	,	PUNCT
ejpam-6304	359	25	ρ2	ρ2	NOUN
ejpam-6304	359	26	,	,	PUNCT
ejpam-6304	359	27	ς2	ς2	PROPN
ejpam-6304	359	28	)	)	PUNCT
ejpam-6304	359	29	are	be	AUX
ejpam-6304	359	30	npnls	npnls	NOUN
ejpam-6304	359	31	.	.	PUNCT
ejpam-6304	360	1	proof	proof	NOUN
ejpam-6304	360	2	.	.	PUNCT
ejpam-6304	361	1	suppose	suppose	VERB
ejpam-6304	361	2	υ	υ	NOUN
ejpam-6304	361	3	is	be	AUX
ejpam-6304	361	4	weakly	weakly	ADV
ejpam-6304	361	5	neutrosophic	neutrosophic	ADJ
ejpam-6304	361	6	bounded	bound	VERB
ejpam-6304	361	7	.	.	PUNCT
ejpam-6304	362	1	then	then	ADV
ejpam-6304	362	2	for	for	ADP
ejpam-6304	362	3	any	any	PRON
ejpam-6304	362	4	0	0	PUNCT
ejpam-6304	362	5	<	<	X
ejpam-6304	362	6	δ	δ	X
ejpam-6304	362	7	<	<	X
ejpam-6304	362	8	1	1	NUM
ejpam-6304	362	9	,	,	PUNCT
ejpam-6304	362	10	ϖ	ϖ	PROPN
ejpam-6304	362	11	∈	∈	PROPN
ejpam-6304	362	12	f	f	PROPN
ejpam-6304	362	13	and	and	CCONJ
ejpam-6304	362	14	φ	φ	PROPN
ejpam-6304	362	15	∈	∈	PROPN
ejpam-6304	362	16	r+	r+	X
ejpam-6304	362	17	,	,	PUNCT
ejpam-6304	362	18	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	362	19	)	)	PUNCT
ejpam-6304	362	20	≥	≥	NOUN
ejpam-6304	363	1	δ	δ	PROPN
ejpam-6304	363	2	⇒	⇒	PROPN
ejpam-6304	363	3	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	363	4	)	)	PUNCT
ejpam-6304	363	5	,	,	PUNCT
ejpam-6304	363	6	φ	φ	NUM
ejpam-6304	363	7	)	)	PUNCT
ejpam-6304	363	8	≥	≥	PROPN
ejpam-6304	363	9	δ	δ	PROPN
ejpam-6304	363	10	,	,	PUNCT
ejpam-6304	363	11	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	363	12	)	)	PUNCT
ejpam-6304	363	13	≤	≤	NUM
ejpam-6304	363	14	δ	δ	PROPN
ejpam-6304	363	15	⇒	⇒	NOUN
ejpam-6304	363	16	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	363	17	)	)	PUNCT
ejpam-6304	363	18	,	,	PUNCT
ejpam-6304	363	19	φ	φ	NOUN
ejpam-6304	363	20	)	)	PUNCT
ejpam-6304	363	21	≤	≤	NUM
ejpam-6304	363	22	δ	δ	PROPN
ejpam-6304	363	23	and	and	CCONJ
ejpam-6304	363	24	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	363	25	)	)	PUNCT
ejpam-6304	363	26	≤	≤	NUM
ejpam-6304	363	27	δ	δ	PROPN
ejpam-6304	363	28	⇒	⇒	NOUN
ejpam-6304	363	29	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	363	30	)	)	PUNCT
ejpam-6304	363	31	,	,	PUNCT
ejpam-6304	363	32	φ	φ	NOUN
ejpam-6304	363	33	)	)	PUNCT
ejpam-6304	363	34	≤	≤	PROPN
ejpam-6304	363	35	δ	δ	PROPN
ejpam-6304	363	36	.	.	PUNCT
ejpam-6304	364	1	η1(ϖ	η1(ϖ	NUM
ejpam-6304	364	2	−	−	PROPN
ejpam-6304	364	3	ϑ	ϑ	PROPN
ejpam-6304	364	4	,	,	PUNCT
ejpam-6304	364	5	φ	φ	NUM
ejpam-6304	364	6	)	)	PUNCT
ejpam-6304	364	7	≥	≥	PROPN
ejpam-6304	364	8	δ	δ	PROPN
ejpam-6304	364	9	⇒	⇒	VERB
ejpam-6304	364	10	η2(υ(ϖ	η2(υ(ϖ	PROPN
ejpam-6304	364	11	−	−	PROPN
ejpam-6304	364	12	ϑ	ϑ	NOUN
ejpam-6304	364	13	)	)	PUNCT
ejpam-6304	364	14	,	,	PUNCT
ejpam-6304	364	15	φ	φ	NUM
ejpam-6304	364	16	)	)	PUNCT
ejpam-6304	364	17	≥	≥	PROPN
ejpam-6304	364	18	δ	δ	PROPN
ejpam-6304	364	19	,	,	PUNCT
ejpam-6304	364	20	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	364	21	−	−	PROPN
ejpam-6304	364	22	ϑ	ϑ	X
ejpam-6304	364	23	,	,	PUNCT
ejpam-6304	364	24	φ	φ	NOUN
ejpam-6304	364	25	)	)	PUNCT
ejpam-6304	364	26	≤	≤	NUM
ejpam-6304	364	27	δ	δ	PROPN
ejpam-6304	364	28	⇒	⇒	NOUN
ejpam-6304	364	29	ρ2(υ(ϖ	ρ2(υ(ϖ	PROPN
ejpam-6304	364	30	−	−	PROPN
ejpam-6304	364	31	ϑ	ϑ	X
ejpam-6304	364	32	)	)	PUNCT
ejpam-6304	364	33	,	,	PUNCT
ejpam-6304	364	34	φ	φ	NOUN
ejpam-6304	364	35	)	)	PUNCT
ejpam-6304	364	36	≤	≤	NUM
ejpam-6304	364	37	δ	δ	PROPN
ejpam-6304	364	38	and	and	CCONJ
ejpam-6304	364	39	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	364	40	−	−	PROPN
ejpam-6304	364	41	ϑ	ϑ	X
ejpam-6304	364	42	,	,	PUNCT
ejpam-6304	364	43	ϵ	ϵ	NOUN
ejpam-6304	364	44	)	)	PUNCT
ejpam-6304	364	45	≤	≤	NUM
ejpam-6304	364	46	δ	δ	PROPN
ejpam-6304	364	47	⇒	⇒	VERB
ejpam-6304	364	48	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	364	49	−	−	NOUN
ejpam-6304	364	50	ϑ	ϑ	NOUN
ejpam-6304	364	51	)	)	PUNCT
ejpam-6304	364	52	,	,	PUNCT
ejpam-6304	364	53	ϵ	ϵ	X
ejpam-6304	364	54	)	)	PUNCT
ejpam-6304	364	55	≤	≤	NUM
ejpam-6304	364	56	δ	δ	PROPN
ejpam-6304	364	57	.	.	PUNCT
ejpam-6304	364	58	η1(ϖ−	η1(ϖ−	VERB
ejpam-6304	364	59	ϑ	ϑ	NOUN
ejpam-6304	364	60	,	,	PUNCT
ejpam-6304	364	61	φ	φ	NUM
ejpam-6304	364	62	)	)	PUNCT
ejpam-6304	364	63	≥	≥	PROPN
ejpam-6304	364	64	δ	δ	PROPN
ejpam-6304	364	65	⇒	⇒	PROPN
ejpam-6304	364	66	η2(υ(ϖ)−υ(ϑ	η2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	364	67	)	)	PUNCT
ejpam-6304	364	68	,	,	PUNCT
ejpam-6304	364	69	φ	φ	NUM
ejpam-6304	364	70	)	)	PUNCT
ejpam-6304	364	71	≥	≥	PROPN
ejpam-6304	364	72	δ	δ	PROPN
ejpam-6304	364	73	,	,	PUNCT
ejpam-6304	364	74	ρ1(ϖ−	ρ1(ϖ−	X
ejpam-6304	364	75	ϑ	ϑ	X
ejpam-6304	364	76	,	,	PUNCT
ejpam-6304	364	77	φ	φ	NOUN
ejpam-6304	364	78	)	)	PUNCT
ejpam-6304	364	79	≤	≤	NUM
ejpam-6304	364	80	δ	δ	PROPN
ejpam-6304	364	81	⇒	⇒	PROPN
ejpam-6304	364	82	ρ2(υ(ϖ)−υ(ϑ	ρ2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	364	83	)	)	PUNCT
ejpam-6304	364	84	,	,	PUNCT
ejpam-6304	364	85	φ	φ	NOUN
ejpam-6304	364	86	)	)	PUNCT
ejpam-6304	364	87	≤	≤	NUM
ejpam-6304	364	88	δ	δ	PROPN
ejpam-6304	364	89	and	and	CCONJ
ejpam-6304	364	90	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	364	91	−	−	PROPN
ejpam-6304	364	92	ϑ	ϑ	X
ejpam-6304	364	93	,	,	PUNCT
ejpam-6304	364	94	ϵ	ϵ	NOUN
ejpam-6304	364	95	)	)	PUNCT
ejpam-6304	364	96	≤	≤	NOUN
ejpam-6304	364	97	δ	δ	PROPN
ejpam-6304	364	98	⇒	⇒	NOUN
ejpam-6304	364	99	ς2(υ(ϖ)−υ(ϑ	ς2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	364	100	)	)	PUNCT
ejpam-6304	364	101	,	,	PUNCT
ejpam-6304	365	1	ϵ	ϵ	X
ejpam-6304	365	2	)	)	PUNCT
ejpam-6304	365	3	≤	≤	NUM
ejpam-6304	365	4	δ	δ	PROPN
ejpam-6304	365	5	,	,	PUNCT
ejpam-6304	365	6	where	where	SCONJ
ejpam-6304	365	7	ϵ	ϵ	PROPN
ejpam-6304	365	8	=	=	SYM
ejpam-6304	365	9	φ	φ	PROPN
ejpam-6304	365	10	=	=	SYM
ejpam-6304	365	11	δ	δ	PROPN
ejpam-6304	365	12	.	.	PUNCT
ejpam-6304	366	1	therefore	therefore	ADV
ejpam-6304	366	2	,	,	PUNCT
ejpam-6304	366	3	υ	υ	PRON
ejpam-6304	366	4	is	be	AUX
ejpam-6304	366	5	weakly	weakly	ADV
ejpam-6304	366	6	neutrosophic	neutrosophic	ADJ
ejpam-6304	366	7	continuous	continuous	ADJ
ejpam-6304	366	8	at	at	ADP
ejpam-6304	366	9	ϑ	ϑ	NOUN
ejpam-6304	366	10	and	and	CCONJ
ejpam-6304	366	11	hence	hence	ADV
ejpam-6304	366	12	by	by	ADP
ejpam-6304	366	13	theorem	theorem	NOUN
ejpam-6304	366	14	(	(	PUNCT
ejpam-6304	366	15	7	7	NUM
ejpam-6304	366	16	)	)	PUNCT
ejpam-6304	366	17	,	,	PUNCT
ejpam-6304	366	18	υ	υ	PROPN
ejpam-6304	366	19	is	be	AUX
ejpam-6304	366	20	weakly	weakly	ADJ
ejpam-6304	366	21	neutrosophic	neutrosophic	ADJ
ejpam-6304	366	22	continuous	continuous	ADJ
ejpam-6304	366	23	.	.	PUNCT
ejpam-6304	367	1	conversely	conversely	ADV
ejpam-6304	367	2	,	,	PUNCT
ejpam-6304	367	3	suppose	suppose	VERB
ejpam-6304	367	4	υ	υ	NOUN
ejpam-6304	367	5	is	be	AUX
ejpam-6304	367	6	weakly	weakly	ADV
ejpam-6304	367	7	neutrosophic	neutrosophic	ADJ
ejpam-6304	367	8	continuous	continuous	ADJ
ejpam-6304	367	9	on	on	ADP
ejpam-6304	367	10	f.	f.	PROPN
ejpam-6304	367	11	then	then	ADV
ejpam-6304	367	12	υ	υ	PROPN
ejpam-6304	367	13	is	be	AUX
ejpam-6304	367	14	weakly	weakly	ADV
ejpam-6304	367	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	367	16	continuous	continuous	ADJ
ejpam-6304	367	17	at	at	ADP
ejpam-6304	367	18	any	any	DET
ejpam-6304	367	19	point	point	NOUN
ejpam-6304	367	20	of	of	ADP
ejpam-6304	367	21	f	f	AUX
ejpam-6304	367	22	,	,	PUNCT
ejpam-6304	367	23	say	say	VERB
ejpam-6304	367	24	ϑ	ϑ	X
ejpam-6304	367	25	,	,	PUNCT
ejpam-6304	367	26	for	for	ADP
ejpam-6304	367	27	all	all	PRON
ejpam-6304	367	28	ϖ	ϖ	PRON
ejpam-6304	367	29	∈	∈	NOUN
ejpam-6304	367	30	f	f	AUX
ejpam-6304	367	31	take	take	VERB
ejpam-6304	367	32	ϵ	ϵ	X
ejpam-6304	367	33	=	=	SYM
ejpam-6304	367	34	φ	φ	PROPN
ejpam-6304	367	35	=	=	SYM
ejpam-6304	367	36	δ	δ	PROPN
ejpam-6304	367	37	,	,	PUNCT
ejpam-6304	367	38	then	then	ADV
ejpam-6304	368	1	η1(ϖ	η1(ϖ	NUM
ejpam-6304	368	2	−	−	PROPN
ejpam-6304	368	3	ϑ	ϑ	PROPN
ejpam-6304	368	4	,	,	PUNCT
ejpam-6304	368	5	φ	φ	NUM
ejpam-6304	368	6	)	)	PUNCT
ejpam-6304	368	7	≥	≥	PROPN
ejpam-6304	368	8	δ	δ	PROPN
ejpam-6304	368	9	⇒	⇒	PROPN
ejpam-6304	368	10	η2(υ(ϖ)−υ(ϑ	η2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	368	11	)	)	PUNCT
ejpam-6304	368	12	,	,	PUNCT
ejpam-6304	368	13	φ	φ	NUM
ejpam-6304	368	14	)	)	PUNCT
ejpam-6304	368	15	≥	≥	PROPN
ejpam-6304	368	16	δ	δ	PROPN
ejpam-6304	368	17	,	,	PUNCT
ejpam-6304	368	18	ρ1(ϖ	ρ1(ϖ	NUM
ejpam-6304	368	19	−	−	PROPN
ejpam-6304	368	20	ϑ	ϑ	X
ejpam-6304	368	21	,	,	PUNCT
ejpam-6304	368	22	φ	φ	NOUN
ejpam-6304	368	23	)	)	PUNCT
ejpam-6304	368	24	≤	≤	NUM
ejpam-6304	368	25	δ	δ	PROPN
ejpam-6304	368	26	⇒	⇒	PROPN
ejpam-6304	368	27	ρ2(υ(ϖ)−υ(ϑ	ρ2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	368	28	)	)	PUNCT
ejpam-6304	368	29	,	,	PUNCT
ejpam-6304	368	30	φ	φ	NOUN
ejpam-6304	368	31	)	)	PUNCT
ejpam-6304	368	32	≤	≤	NUM
ejpam-6304	368	33	δ	δ	PROPN
ejpam-6304	368	34	ς1(ϖ	ς1(ϖ	NUM
ejpam-6304	368	35	−	−	PROPN
ejpam-6304	368	36	ϑ	ϑ	X
ejpam-6304	368	37	,	,	PUNCT
ejpam-6304	368	38	φ	φ	NOUN
ejpam-6304	368	39	)	)	PUNCT
ejpam-6304	368	40	≤	≤	NUM
ejpam-6304	369	1	δ	δ	PROPN
ejpam-6304	369	2	⇒	⇒	NOUN
ejpam-6304	369	3	ς2(υ(ϖ)−υ(ϑ	ς2(υ(ϖ)−υ(ϑ	PROPN
ejpam-6304	369	4	)	)	PUNCT
ejpam-6304	369	5	,	,	PUNCT
ejpam-6304	369	6	φ	φ	NOUN
ejpam-6304	369	7	)	)	PUNCT
ejpam-6304	369	8	≤	≤	PROPN
ejpam-6304	369	9	δ	δ	PROPN
ejpam-6304	369	10	.	.	PUNCT
ejpam-6304	370	1	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	370	2	)	)	PUNCT
ejpam-6304	370	3	≥	≥	NOUN
ejpam-6304	370	4	δ	δ	PROPN
ejpam-6304	370	5	⇒	⇒	PROPN
ejpam-6304	370	6	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	370	7	)	)	PUNCT
ejpam-6304	370	8	,	,	PUNCT
ejpam-6304	370	9	φ	φ	NUM
ejpam-6304	370	10	)	)	PUNCT
ejpam-6304	370	11	≥	≥	PROPN
ejpam-6304	370	12	δ	δ	PROPN
ejpam-6304	370	13	,	,	PUNCT
ejpam-6304	370	14	ρ1(ϖ,φ	ρ1(ϖ,φ	NOUN
ejpam-6304	370	15	)	)	PUNCT
ejpam-6304	370	16	≤	≤	NUM
ejpam-6304	371	1	δ	δ	PROPN
ejpam-6304	371	2	⇒	⇒	NOUN
ejpam-6304	371	3	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	371	4	)	)	PUNCT
ejpam-6304	371	5	,	,	PUNCT
ejpam-6304	371	6	φ	φ	NOUN
ejpam-6304	371	7	)	)	PUNCT
ejpam-6304	371	8	≤	≤	NUM
ejpam-6304	371	9	δ	δ	PROPN
ejpam-6304	371	10	and	and	CCONJ
ejpam-6304	371	11	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	371	12	)	)	PUNCT
ejpam-6304	371	13	≤	≤	NUM
ejpam-6304	371	14	δ	δ	PROPN
ejpam-6304	371	15	⇒	⇒	NOUN
ejpam-6304	371	16	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	371	17	)	)	PUNCT
ejpam-6304	371	18	,	,	PUNCT
ejpam-6304	371	19	φ	φ	NOUN
ejpam-6304	371	20	)	)	PUNCT
ejpam-6304	371	21	≤	≤	NUM
ejpam-6304	371	22	δ	δ	PROPN
ejpam-6304	371	23	.	.	PUNCT
ejpam-6304	372	1	if	if	SCONJ
ejpam-6304	372	2	ϖ	ϖ	PROPN
ejpam-6304	372	3	=	=	SYM
ejpam-6304	372	4	ϑ	ϑ	X
ejpam-6304	372	5	,	,	PUNCT
ejpam-6304	372	6	φ	φ	X
ejpam-6304	372	7	>	>	X
ejpam-6304	372	8	0	0	PUNCT
ejpam-6304	372	9	then	then	ADV
ejpam-6304	372	10	⇒	⇒	VERB
ejpam-6304	372	11	η2(υ(ϑ	η2(υ(ϑ	PROPN
ejpam-6304	372	12	)	)	PUNCT
ejpam-6304	372	13	,	,	PUNCT
ejpam-6304	372	14	φ	φ	X
ejpam-6304	372	15	)	)	PUNCT
ejpam-6304	372	16	=	=	SYM
ejpam-6304	372	17	1	1	NUM
ejpam-6304	372	18	=	=	SYM
ejpam-6304	372	19	η1(ϑ	η1(ϑ	PROPN
ejpam-6304	372	20	,	,	PUNCT
ejpam-6304	372	21	φ	φ	NOUN
ejpam-6304	372	22	)	)	PUNCT
ejpam-6304	372	23	,	,	PUNCT
ejpam-6304	372	24	ρ2(υ(ϑ	ρ2(υ(ϑ	PROPN
ejpam-6304	372	25	)	)	PUNCT
ejpam-6304	372	26	,	,	PUNCT
ejpam-6304	372	27	φ	φ	X
ejpam-6304	372	28	)	)	PUNCT
ejpam-6304	372	29	=	=	SYM
ejpam-6304	372	30	0	0	PUNCT
ejpam-6304	373	1	=	=	SYM
ejpam-6304	373	2	ρ1(ϑ	ρ1(ϑ	PROPN
ejpam-6304	373	3	,	,	PUNCT
ejpam-6304	373	4	φ	φ	NUM
ejpam-6304	373	5	)	)	PUNCT
ejpam-6304	373	6	and	and	CCONJ
ejpam-6304	373	7	ς2(υ(ϑ	ς2(υ(ϑ	PROPN
ejpam-6304	373	8	)	)	PUNCT
ejpam-6304	373	9	,	,	PUNCT
ejpam-6304	373	10	φ	φ	X
ejpam-6304	373	11	)	)	PUNCT
ejpam-6304	373	12	=	=	SYM
ejpam-6304	373	13	0	0	PUNCT
ejpam-6304	374	1	=	=	SYM
ejpam-6304	374	2	ς1(ϑ	ς1(ϑ	NUM
ejpam-6304	374	3	,	,	PUNCT
ejpam-6304	374	4	φ	φ	NOUN
ejpam-6304	374	5	)	)	PUNCT
ejpam-6304	374	6	.	.	PUNCT
ejpam-6304	375	1	pandiselvi	pandiselvi	ADJ
ejpam-6304	375	2	.	.	PUNCT
ejpam-6304	376	1	m	m	PROPN
ejpam-6304	376	2	,	,	PUNCT
ejpam-6304	376	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	376	4	.	.	PUNCT
ejpam-6304	377	1	m	m	PROPN
ejpam-6304	377	2	andmohammad	andmohammad	PROPN
ejpam-6304	377	3	akram	akram	PROPN
ejpam-6304	377	4	/	/	PUNCT
ejpam-6304	377	5	eur	eur	PROPN
ejpam-6304	377	6	.	.	PUNCT
ejpam-6304	378	1	j.	j.	PROPN
ejpam-6304	378	2	pure	pure	PROPN
ejpam-6304	378	3	appl	appl	PROPN
ejpam-6304	378	4	.	.	PROPN
ejpam-6304	378	5	math	math	PROPN
ejpam-6304	378	6	,	,	PUNCT
ejpam-6304	378	7	18	18	NUM
ejpam-6304	378	8	(	(	PUNCT
ejpam-6304	378	9	3	3	NUM
ejpam-6304	378	10	)	)	PUNCT
ejpam-6304	378	11	(	(	PUNCT
ejpam-6304	378	12	2025	2025	NUM
ejpam-6304	378	13	)	)	PUNCT
ejpam-6304	378	14	,	,	PUNCT
ejpam-6304	378	15	6304	6304	NUM
ejpam-6304	378	16	14	14	NUM
ejpam-6304	378	17	of	of	ADP
ejpam-6304	378	18	15	15	NUM
ejpam-6304	378	19	for	for	ADP
ejpam-6304	378	20	any	any	DET
ejpam-6304	378	21	ϖ,φ	ϖ,φ	PROPN
ejpam-6304	378	22	≤	≤	X
ejpam-6304	378	23	0,⇒	0,⇒	X
ejpam-6304	378	24	η2(υ(ϖ	η2(υ(ϖ	NOUN
ejpam-6304	378	25	)	)	PUNCT
ejpam-6304	378	26	,	,	PUNCT
ejpam-6304	378	27	φ	φ	NUM
ejpam-6304	378	28	)	)	PUNCT
ejpam-6304	378	29	=	=	SYM
ejpam-6304	378	30	0	0	PUNCT
ejpam-6304	378	31	=	=	SYM
ejpam-6304	378	32	η1(ϖ,φ	η1(ϖ,φ	NOUN
ejpam-6304	378	33	)	)	PUNCT
ejpam-6304	378	34	,	,	PUNCT
ejpam-6304	378	35	ρ2(υ(ϖ	ρ2(υ(ϖ	NUM
ejpam-6304	378	36	)	)	PUNCT
ejpam-6304	378	37	,	,	PUNCT
ejpam-6304	378	38	φ	φ	NUM
ejpam-6304	378	39	)	)	PUNCT
ejpam-6304	378	40	=	=	SYM
ejpam-6304	378	41	1	1	NUM
ejpam-6304	378	42	=	=	SYM
ejpam-6304	378	43	ρ1(ϖ,φ	ρ1(ϖ,φ	X
ejpam-6304	378	44	)	)	PUNCT
ejpam-6304	378	45	and	and	CCONJ
ejpam-6304	378	46	ς2(υ(ϖ	ς2(υ(ϖ	NUM
ejpam-6304	378	47	)	)	PUNCT
ejpam-6304	378	48	,	,	PUNCT
ejpam-6304	378	49	φ	φ	NUM
ejpam-6304	378	50	)	)	PUNCT
ejpam-6304	378	51	=	=	SYM
ejpam-6304	378	52	0	0	PUNCT
ejpam-6304	379	1	=	=	SYM
ejpam-6304	379	2	ς1(ϖ,φ	ς1(ϖ,φ	NOUN
ejpam-6304	379	3	)	)	PUNCT
ejpam-6304	379	4	.	.	PUNCT
ejpam-6304	380	1	hence	hence	ADV
ejpam-6304	380	2	for	for	ADP
ejpam-6304	380	3	any	any	DET
ejpam-6304	380	4	0	0	PUNCT
ejpam-6304	380	5	<	<	X
ejpam-6304	380	6	δ	δ	X
ejpam-6304	380	7	<	<	X
ejpam-6304	380	8	1	1	NUM
ejpam-6304	380	9	,	,	PUNCT
ejpam-6304	380	10	for	for	ADP
ejpam-6304	380	11	all	all	DET
ejpam-6304	380	12	ϖ	ϖ	NOUN
ejpam-6304	380	13	∈	∈	PROPN
ejpam-6304	380	14	f	f	PROPN
ejpam-6304	380	15	and	and	CCONJ
ejpam-6304	380	16	φ	φ	PROPN
ejpam-6304	380	17	∈	∈	PROPN
ejpam-6304	380	18	r	r	NOUN
ejpam-6304	380	19	,	,	PUNCT
ejpam-6304	380	20	υ	υ	NOUN
ejpam-6304	380	21	is	be	AUX
ejpam-6304	380	22	weakly	weakly	ADV
ejpam-6304	380	23	neutrosophic	neutrosophic	ADJ
ejpam-6304	380	24	bounded	bound	VERB
ejpam-6304	380	25	.	.	PUNCT
ejpam-6304	381	1	5	5	NUM
ejpam-6304	381	2	.	.	PUNCT
ejpam-6304	381	3	conclusions	conclusion	NOUN
ejpam-6304	381	4	in	in	ADP
ejpam-6304	381	5	this	this	DET
ejpam-6304	381	6	paper	paper	NOUN
ejpam-6304	381	7	,	,	PUNCT
ejpam-6304	381	8	we	we	PRON
ejpam-6304	381	9	explored	explore	VERB
ejpam-6304	381	10	various	various	ADJ
ejpam-6304	381	11	forms	form	NOUN
ejpam-6304	381	12	of	of	ADP
ejpam-6304	381	13	neutrosophic	neutrosophic	ADJ
ejpam-6304	381	14	continuity	continuity	NOUN
ejpam-6304	381	15	and	and	CCONJ
ejpam-6304	381	16	boundedness	boundedness	NOUN
ejpam-6304	381	17	in	in	ADP
ejpam-6304	381	18	npnls	npnls	NOUN
ejpam-6304	381	19	,	,	PUNCT
ejpam-6304	381	20	establishing	establish	VERB
ejpam-6304	381	21	significant	significant	ADJ
ejpam-6304	381	22	relationships	relationship	NOUN
ejpam-6304	381	23	between	between	ADP
ejpam-6304	381	24	these	these	DET
ejpam-6304	381	25	properties	property	NOUN
ejpam-6304	381	26	.	.	PUNCT
ejpam-6304	382	1	we	we	PRON
ejpam-6304	382	2	introduced	introduce	VERB
ejpam-6304	382	3	new	new	ADJ
ejpam-6304	382	4	characterizations	characterization	NOUN
ejpam-6304	382	5	and	and	CCONJ
ejpam-6304	382	6	provided	provide	VERB
ejpam-6304	382	7	illustrative	illustrative	ADJ
ejpam-6304	382	8	examples	example	NOUN
ejpam-6304	382	9	to	to	PART
ejpam-6304	382	10	validate	validate	VERB
ejpam-6304	382	11	the	the	DET
ejpam-6304	382	12	theoretical	theoretical	ADJ
ejpam-6304	382	13	developments	development	NOUN
ejpam-6304	382	14	.	.	PUNCT
ejpam-6304	383	1	these	these	DET
ejpam-6304	383	2	contributions	contribution	NOUN
ejpam-6304	383	3	not	not	PART
ejpam-6304	383	4	only	only	ADV
ejpam-6304	383	5	enhance	enhance	VERB
ejpam-6304	383	6	the	the	DET
ejpam-6304	383	7	foundational	foundational	ADJ
ejpam-6304	383	8	understanding	understanding	NOUN
ejpam-6304	383	9	of	of	ADP
ejpam-6304	383	10	operator	operator	NOUN
ejpam-6304	383	11	behavior	behavior	NOUN
ejpam-6304	383	12	in	in	ADP
ejpam-6304	383	13	npnls	npnls	NOUN
ejpam-6304	383	14	but	but	CCONJ
ejpam-6304	383	15	also	also	ADV
ejpam-6304	383	16	extend	extend	VERB
ejpam-6304	383	17	the	the	DET
ejpam-6304	383	18	existing	exist	VERB
ejpam-6304	383	19	framework	framework	NOUN
ejpam-6304	383	20	of	of	ADP
ejpam-6304	383	21	neutrosophic	neutrosophic	ADJ
ejpam-6304	383	22	neutrosophic	neutrosophic	PROPN
ejpam-6304	383	23	normed	normed	PROPN
ejpam-6304	383	24	linear	linear	PROPN
ejpam-6304	383	25	spaces	space	NOUN
ejpam-6304	383	26	.	.	PUNCT
ejpam-6304	384	1	future	future	ADJ
ejpam-6304	384	2	work	work	NOUN
ejpam-6304	384	3	may	may	AUX
ejpam-6304	384	4	involve	involve	VERB
ejpam-6304	384	5	studying	study	VERB
ejpam-6304	384	6	these	these	DET
ejpam-6304	384	7	notions	notion	NOUN
ejpam-6304	384	8	in	in	ADP
ejpam-6304	384	9	more	more	ADJ
ejpam-6304	384	10	generalized	generalized	ADJ
ejpam-6304	384	11	settings	setting	NOUN
ejpam-6304	384	12	,	,	PUNCT
ejpam-6304	384	13	such	such	ADJ
ejpam-6304	384	14	as	as	ADP
ejpam-6304	384	15	neutrosophic	neutrosophic	ADJ
ejpam-6304	384	16	b	b	ADV
ejpam-6304	384	17	-	-	PUNCT
ejpam-6304	384	18	normed	normed	ADJ
ejpam-6304	384	19	or	or	CCONJ
ejpam-6304	384	20	intuitionistic	intuitionistic	ADJ
ejpam-6304	384	21	fuzzy	fuzzy	ADJ
ejpam-6304	384	22	normed	normed	ADJ
ejpam-6304	384	23	spaces	space	NOUN
ejpam-6304	384	24	.	.	PUNCT
ejpam-6304	385	1	additionally	additionally	ADV
ejpam-6304	385	2	,	,	PUNCT
ejpam-6304	385	3	exploring	explore	VERB
ejpam-6304	385	4	applications	application	NOUN
ejpam-6304	385	5	of	of	ADP
ejpam-6304	385	6	these	these	DET
ejpam-6304	385	7	results	result	NOUN
ejpam-6304	385	8	in	in	ADP
ejpam-6304	385	9	fields	field	NOUN
ejpam-6304	385	10	like	like	ADP
ejpam-6304	385	11	decision	decision	NOUN
ejpam-6304	385	12	theory	theory	NOUN
ejpam-6304	385	13	,	,	PUNCT
ejpam-6304	385	14	control	control	NOUN
ejpam-6304	385	15	systems	system	NOUN
ejpam-6304	385	16	,	,	PUNCT
ejpam-6304	385	17	or	or	CCONJ
ejpam-6304	385	18	differential	differential	ADJ
ejpam-6304	385	19	equations	equation	NOUN
ejpam-6304	385	20	could	could	AUX
ejpam-6304	385	21	provide	provide	VERB
ejpam-6304	385	22	valuable	valuable	ADJ
ejpam-6304	385	23	real	real	ADJ
ejpam-6304	385	24	-	-	PUNCT
ejpam-6304	385	25	world	world	NOUN
ejpam-6304	385	26	insights	insight	NOUN
ejpam-6304	385	27	.	.	PUNCT
ejpam-6304	386	1	acknowledgements	acknowledgement	NOUN
ejpam-6304	386	2	the	the	DET
ejpam-6304	386	3	authors	author	NOUN
ejpam-6304	386	4	are	be	AUX
ejpam-6304	386	5	grateful	grateful	ADJ
ejpam-6304	386	6	to	to	ADP
ejpam-6304	386	7	the	the	DET
ejpam-6304	386	8	deanship	deanship	NOUN
ejpam-6304	386	9	of	of	ADP
ejpam-6304	386	10	graduate	graduate	NOUN
ejpam-6304	386	11	studies	study	NOUN
ejpam-6304	386	12	and	and	CCONJ
ejpam-6304	386	13	scientific	scientific	ADJ
ejpam-6304	386	14	research	research	NOUN
ejpam-6304	386	15	,	,	PUNCT
ejpam-6304	386	16	islamic	islamic	PROPN
ejpam-6304	386	17	university	university	PROPN
ejpam-6304	386	18	of	of	ADP
ejpam-6304	386	19	madinah	madinah	PROPN
ejpam-6304	386	20	,	,	PUNCT
ejpam-6304	386	21	saudi	saudi	PROPN
ejpam-6304	386	22	arabia	arabia	PROPN
ejpam-6304	386	23	for	for	ADP
ejpam-6304	386	24	supporting	support	VERB
ejpam-6304	386	25	this	this	DET
ejpam-6304	386	26	research	research	NOUN
ejpam-6304	386	27	work	work	NOUN
ejpam-6304	386	28	.	.	PUNCT
ejpam-6304	387	1	references	reference	NOUN
ejpam-6304	387	2	[	[	X
ejpam-6304	387	3	1	1	NUM
ejpam-6304	387	4	]	]	PUNCT
ejpam-6304	387	5	c.	c.	NOUN
ejpam-6304	387	6	felbin	felbin	NOUN
ejpam-6304	387	7	.	.	PUNCT
ejpam-6304	388	1	finite	finite	ADJ
ejpam-6304	388	2	dimensional	dimensional	ADJ
ejpam-6304	388	3	fuzzy	fuzzy	ADJ
ejpam-6304	388	4	normed	norme	VERB
ejpam-6304	388	5	linear	linear	ADJ
ejpam-6304	388	6	space	space	NOUN
ejpam-6304	388	7	.	.	PUNCT
ejpam-6304	389	1	fuzzy	fuzzy	ADJ
ejpam-6304	389	2	sets	set	NOUN
ejpam-6304	389	3	and	and	CCONJ
ejpam-6304	389	4	systems	system	NOUN
ejpam-6304	389	5	,	,	PUNCT
ejpam-6304	389	6	48:239–248	48:239–248	PROPN
ejpam-6304	389	7	,	,	PUNCT
ejpam-6304	389	8	1992	1992	NUM
ejpam-6304	389	9	.	.	PUNCT
ejpam-6304	390	1	[	[	X
ejpam-6304	390	2	2	2	X
ejpam-6304	390	3	]	]	PUNCT
ejpam-6304	390	4	j.	j.	PROPN
ejpam-6304	390	5	xiao	xiao	PROPN
ejpam-6304	390	6	and	and	CCONJ
ejpam-6304	390	7	x.	x.	PROPN
ejpam-6304	390	8	zhu	zhu	PROPN
ejpam-6304	390	9	.	.	PUNCT
ejpam-6304	391	1	on	on	ADP
ejpam-6304	391	2	linearly	linearly	ADV
ejpam-6304	391	3	topological	topological	ADJ
ejpam-6304	391	4	structure	structure	NOUN
ejpam-6304	391	5	and	and	CCONJ
ejpam-6304	391	6	property	property	NOUN
ejpam-6304	391	7	of	of	ADP
ejpam-6304	391	8	fuzzy	fuzzy	ADJ
ejpam-6304	391	9	normed	norme	VERB
ejpam-6304	391	10	linear	linear	ADJ
ejpam-6304	391	11	space	space	NOUN
ejpam-6304	391	12	.	.	PUNCT
ejpam-6304	392	1	fuzzy	fuzzy	ADJ
ejpam-6304	392	2	sets	set	NOUN
ejpam-6304	392	3	and	and	CCONJ
ejpam-6304	392	4	systems	system	NOUN
ejpam-6304	392	5	,	,	PUNCT
ejpam-6304	392	6	125:153–161	125:153–161	NUM
ejpam-6304	392	7	,	,	PUNCT
ejpam-6304	392	8	2002	2002	NUM
ejpam-6304	392	9	.	.	PUNCT
ejpam-6304	393	1	[	[	X
ejpam-6304	393	2	3	3	X
ejpam-6304	393	3	]	]	PUNCT
ejpam-6304	393	4	t.	t.	NOUN
ejpam-6304	393	5	bag	bag	NOUN
ejpam-6304	393	6	and	and	CCONJ
ejpam-6304	393	7	s.	s.	PROPN
ejpam-6304	393	8	k.	k.	PROPN
ejpam-6304	393	9	samanta	samanta	PROPN
ejpam-6304	393	10	.	.	PUNCT
ejpam-6304	394	1	finite	finite	PROPN
ejpam-6304	394	2	dimensional	dimensional	ADJ
ejpam-6304	394	3	fuzzy	fuzzy	ADJ
ejpam-6304	394	4	normed	norme	VERB
ejpam-6304	394	5	linear	linear	ADJ
ejpam-6304	394	6	space	space	NOUN
ejpam-6304	394	7	.	.	PUNCT
ejpam-6304	395	1	journal	journal	NOUN
ejpam-6304	395	2	of	of	ADP
ejpam-6304	395	3	fuzzy	fuzzy	ADJ
ejpam-6304	395	4	mathematics	mathematic	NOUN
ejpam-6304	395	5	,	,	PUNCT
ejpam-6304	395	6	11(3):687–705	11(3):687–705	NUM
ejpam-6304	395	7	,	,	PUNCT
ejpam-6304	395	8	2003	2003	NUM
ejpam-6304	395	9	.	.	PUNCT
ejpam-6304	396	1	[	[	X
ejpam-6304	396	2	4	4	X
ejpam-6304	396	3	]	]	PUNCT
ejpam-6304	396	4	t.	t.	NOUN
ejpam-6304	396	5	bag	bag	NOUN
ejpam-6304	396	6	and	and	CCONJ
ejpam-6304	396	7	s.	s.	PROPN
ejpam-6304	396	8	k.	k.	PROPN
ejpam-6304	396	9	samanta	samanta	PROPN
ejpam-6304	396	10	.	.	PUNCT
ejpam-6304	397	1	fuzzy	fuzzy	PROPN
ejpam-6304	397	2	bounded	bound	VERB
ejpam-6304	397	3	linear	linear	PROPN
ejpam-6304	397	4	operators	operator	NOUN
ejpam-6304	397	5	.	.	PUNCT
ejpam-6304	398	1	fuzzy	fuzzy	ADJ
ejpam-6304	398	2	sets	set	NOUN
ejpam-6304	398	3	and	and	CCONJ
ejpam-6304	398	4	systems	system	NOUN
ejpam-6304	398	5	,	,	PUNCT
ejpam-6304	398	6	151:513–547	151:513–547	NUM
ejpam-6304	398	7	,	,	PUNCT
ejpam-6304	398	8	2005	2005	NUM
ejpam-6304	398	9	.	.	PUNCT
ejpam-6304	399	1	[	[	X
ejpam-6304	399	2	5	5	X
ejpam-6304	399	3	]	]	PUNCT
ejpam-6304	399	4	s.	s.	PROPN
ejpam-6304	399	5	nadaban	nadaban	PROPN
ejpam-6304	399	6	.	.	PUNCT
ejpam-6304	399	7	fuzzy	fuzzy	ADJ
ejpam-6304	399	8	pseudo	pseudo	NOUN
ejpam-6304	399	9	-	-	NOUN
ejpam-6304	399	10	norms	norm	NOUN
ejpam-6304	399	11	and	and	CCONJ
ejpam-6304	399	12	fuzzy	fuzzy	ADJ
ejpam-6304	399	13	f	f	NOUN
ejpam-6304	399	14	-	-	PUNCT
ejpam-6304	399	15	spaces	space	NOUN
ejpam-6304	399	16	.	.	PUNCT
ejpam-6304	400	1	fuzzy	fuzzy	ADJ
ejpam-6304	400	2	sets	set	NOUN
ejpam-6304	400	3	and	and	CCONJ
ejpam-6304	400	4	systems	system	NOUN
ejpam-6304	400	5	,	,	PUNCT
ejpam-6304	400	6	282:99	282:99	NUM
ejpam-6304	400	7	–	–	PUNCT
ejpam-6304	400	8	114	114	NUM
ejpam-6304	400	9	,	,	PUNCT
ejpam-6304	400	10	2016	2016	NUM
ejpam-6304	400	11	.	.	PUNCT
ejpam-6304	401	1	[	[	X
ejpam-6304	401	2	6	6	NUM
ejpam-6304	401	3	]	]	PUNCT
ejpam-6304	401	4	b.	b.	PROPN
ejpam-6304	401	5	dinda	dinda	PROPN
ejpam-6304	401	6	and	and	CCONJ
ejpam-6304	401	7	t.	t.	PROPN
ejpam-6304	401	8	k.	k.	PROPN
ejpam-6304	401	9	samanta	samanta	PROPN
ejpam-6304	401	10	.	.	PUNCT
ejpam-6304	402	1	intuitionistic	intuitionistic	ADJ
ejpam-6304	402	2	fuzzy	fuzzy	ADJ
ejpam-6304	402	3	continuity	continuity	NOUN
ejpam-6304	402	4	and	and	CCONJ
ejpam-6304	402	5	uniform	uniform	ADJ
ejpam-6304	402	6	convergence	convergence	NOUN
ejpam-6304	402	7	.	.	PUNCT
ejpam-6304	403	1	journal	journal	NOUN
ejpam-6304	403	2	of	of	ADP
ejpam-6304	403	3	open	open	ADJ
ejpam-6304	403	4	problems	problem	NOUN
ejpam-6304	403	5	in	in	ADP
ejpam-6304	403	6	computer	computer	NOUN
ejpam-6304	403	7	science	science	NOUN
ejpam-6304	403	8	and	and	CCONJ
ejpam-6304	403	9	mathematics	mathematic	NOUN
ejpam-6304	403	10	,	,	PUNCT
ejpam-6304	403	11	3(1):8–26	3(1):8–26	NUM
ejpam-6304	403	12	,	,	PUNCT
ejpam-6304	403	13	2010	2010	NUM
ejpam-6304	403	14	.	.	PUNCT
ejpam-6304	404	1	[	[	X
ejpam-6304	404	2	7	7	X
ejpam-6304	404	3	]	]	PUNCT
ejpam-6304	404	4	k.	k.	PROPN
ejpam-6304	404	5	t.	t.	PROPN
ejpam-6304	404	6	atanassov	atanassov	PROPN
ejpam-6304	404	7	.	.	PUNCT
ejpam-6304	405	1	intuitionistic	intuitionistic	ADJ
ejpam-6304	405	2	fuzzy	fuzzy	ADJ
ejpam-6304	405	3	sets	set	NOUN
ejpam-6304	405	4	.	.	PUNCT
ejpam-6304	406	1	springer	springer	NOUN
ejpam-6304	406	2	,	,	PUNCT
ejpam-6304	406	3	1999	1999	NUM
ejpam-6304	406	4	.	.	PUNCT
ejpam-6304	407	1	[	[	X
ejpam-6304	407	2	8	8	X
ejpam-6304	407	3	]	]	PUNCT
ejpam-6304	407	4	j.	j.	PROPN
ejpam-6304	407	5	h.	h.	PROPN
ejpam-6304	407	6	park	park	PROPN
ejpam-6304	407	7	.	.	PUNCT
ejpam-6304	408	1	intuitionistic	intuitionistic	ADJ
ejpam-6304	408	2	fuzzy	fuzzy	ADJ
ejpam-6304	408	3	metric	metric	ADJ
ejpam-6304	408	4	spaces	space	NOUN
ejpam-6304	408	5	.	.	PUNCT
ejpam-6304	409	1	chaos	chaos	NOUN
ejpam-6304	409	2	,	,	PUNCT
ejpam-6304	409	3	solitons	soliton	NOUN
ejpam-6304	409	4	&	&	CCONJ
ejpam-6304	409	5	fractals	fractal	NOUN
ejpam-6304	409	6	,	,	PUNCT
ejpam-6304	409	7	22(5):1039	22(5):1039	NUM
ejpam-6304	409	8	–	–	PUNCT
ejpam-6304	409	9	1046	1046	NUM
ejpam-6304	409	10	,	,	PUNCT
ejpam-6304	409	11	2004	2004	NUM
ejpam-6304	409	12	.	.	PUNCT
ejpam-6304	410	1	[	[	X
ejpam-6304	410	2	9	9	NUM
ejpam-6304	410	3	]	]	PUNCT
ejpam-6304	410	4	f.	f.	PROPN
ejpam-6304	410	5	smarandache	smarandache	PROPN
ejpam-6304	410	6	.	.	PUNCT
ejpam-6304	411	1	neutrosophy	neutrosophy	NOUN
ejpam-6304	411	2	:	:	PUNCT
ejpam-6304	411	3	neutrosophic	neutrosophic	ADJ
ejpam-6304	411	4	probability	probability	NOUN
ejpam-6304	411	5	,	,	PUNCT
ejpam-6304	411	6	set	set	NOUN
ejpam-6304	411	7	and	and	CCONJ
ejpam-6304	411	8	logic	logic	NOUN
ejpam-6304	411	9	.	.	PUNCT
ejpam-6304	412	1	american	american	ADJ
ejpam-6304	412	2	research	research	PROPN
ejpam-6304	412	3	press	press	PROPN
ejpam-6304	412	4	,	,	PUNCT
ejpam-6304	412	5	rehoboth	rehoboth	NOUN
ejpam-6304	412	6	,	,	PUNCT
ejpam-6304	412	7	1998	1998	NUM
ejpam-6304	412	8	.	.	PUNCT
ejpam-6304	413	1	[	[	X
ejpam-6304	413	2	10	10	NUM
ejpam-6304	413	3	]	]	PUNCT
ejpam-6304	413	4	m.	m.	NOUN
ejpam-6304	413	5	kirisci	kirisci	PROPN
ejpam-6304	413	6	and	and	CCONJ
ejpam-6304	413	7	n.	n.	NOUN
ejpam-6304	413	8	simsek	simsek	PROPN
ejpam-6304	413	9	.	.	PUNCT
ejpam-6304	414	1	neutrosophic	neutrosophic	ADJ
ejpam-6304	414	2	metric	metric	ADJ
ejpam-6304	414	3	spaces	space	NOUN
ejpam-6304	414	4	.	.	PUNCT
ejpam-6304	415	1	mathematical	mathematical	ADJ
ejpam-6304	415	2	sciences	sciences	PROPN
ejpam-6304	415	3	,	,	PUNCT
ejpam-6304	415	4	14:241–248	14:241–248	PROPN
ejpam-6304	415	5	,	,	PUNCT
ejpam-6304	415	6	2020	2020	NUM
ejpam-6304	415	7	.	.	PUNCT
ejpam-6304	416	1	pandiselvi	pandiselvi	ADJ
ejpam-6304	416	2	.	.	PUNCT
ejpam-6304	417	1	m	m	PROPN
ejpam-6304	417	2	,	,	PUNCT
ejpam-6304	417	3	jeyaraman	jeyaraman	NOUN
ejpam-6304	417	4	.	.	PUNCT
ejpam-6304	418	1	m	m	PROPN
ejpam-6304	418	2	andmohammad	andmohammad	PROPN
ejpam-6304	418	3	akram	akram	PROPN
ejpam-6304	418	4	/	/	PUNCT
ejpam-6304	418	5	eur	eur	PROPN
ejpam-6304	418	6	.	.	PUNCT
ejpam-6304	419	1	j.	j.	PROPN
ejpam-6304	419	2	pure	pure	PROPN
ejpam-6304	419	3	appl	appl	PROPN
ejpam-6304	419	4	.	.	PROPN
ejpam-6304	419	5	math	math	PROPN
ejpam-6304	419	6	,	,	PUNCT
ejpam-6304	419	7	18	18	NUM
ejpam-6304	419	8	(	(	PUNCT
ejpam-6304	419	9	3	3	NUM
ejpam-6304	419	10	)	)	PUNCT
ejpam-6304	419	11	(	(	PUNCT
ejpam-6304	419	12	2025	2025	NUM
ejpam-6304	419	13	)	)	PUNCT
ejpam-6304	419	14	,	,	PUNCT
ejpam-6304	419	15	6304	6304	NUM
ejpam-6304	419	16	15	15	NUM
ejpam-6304	419	17	of	of	ADP
ejpam-6304	419	18	15	15	NUM
ejpam-6304	419	19	[	[	SYM
ejpam-6304	419	20	11	11	NUM
ejpam-6304	419	21	]	]	PUNCT
ejpam-6304	419	22	m.	m.	NOUN
ejpam-6304	419	23	jeyaraman	jeyaraman	PROPN
ejpam-6304	419	24	,	,	PUNCT
ejpam-6304	419	25	hassen	hassen	PROPN
ejpam-6304	419	26	aydi	aydi	ADV
ejpam-6304	419	27	,	,	PUNCT
ejpam-6304	419	28	and	and	CCONJ
ejpam-6304	419	29	m.	m.	PROPN
ejpam-6304	419	30	de	de	PROPN
ejpam-6304	419	31	la	la	PROPN
ejpam-6304	419	32	sen	sen	PROPN
ejpam-6304	419	33	.	.	PROPN
ejpam-6304	419	34	new	new	ADJ
ejpam-6304	419	35	results	result	NOUN
ejpam-6304	419	36	for	for	ADP
ejpam-6304	419	37	multivalued	multivalued	ADJ
ejpam-6304	419	38	mappings	mapping	NOUN
ejpam-6304	419	39	in	in	ADP
ejpam-6304	419	40	hausdorff	hausdorff	PROPN
ejpam-6304	419	41	neutrosophic	neutrosophic	ADJ
ejpam-6304	419	42	metric	metric	ADJ
ejpam-6304	419	43	spaces	space	NOUN
ejpam-6304	419	44	.	.	PUNCT
ejpam-6304	420	1	axioms	axiom	NOUN
ejpam-6304	420	2	,	,	PUNCT
ejpam-6304	420	3	11:724	11:724	NUM
ejpam-6304	420	4	,	,	PUNCT
ejpam-6304	420	5	2022	2022	NUM
ejpam-6304	420	6	.	.	PUNCT
ejpam-6304	421	1	[	[	X
ejpam-6304	421	2	12	12	NUM
ejpam-6304	421	3	]	]	X
ejpam-6304	421	4	h.	h.	PROPN
ejpam-6304	421	5	h.	h.	PROPN
ejpam-6304	421	6	schaefer	schaefer	PROPN
ejpam-6304	421	7	and	and	CCONJ
ejpam-6304	421	8	m.	m.	NOUN
ejpam-6304	421	9	p.	p.	NOUN
ejpam-6304	421	10	wolff	wolff	PROPN
ejpam-6304	421	11	.	.	PUNCT
ejpam-6304	422	1	topological	topological	ADJ
ejpam-6304	422	2	vector	vector	NOUN
ejpam-6304	422	3	spaces	space	NOUN
ejpam-6304	422	4	.	.	PUNCT
ejpam-6304	423	1	springer	springer	NOUN
ejpam-6304	423	2	,	,	PUNCT
ejpam-6304	423	3	1999	1999	NUM
ejpam-6304	423	4	.	.	PUNCT