id	sid	tid	token	lemma	pos
ejpam-6919	1	1	european	european	PROPN
ejpam-6919	1	2	journal	journal	PROPN
ejpam-6919	1	3	of	of	ADP
ejpam-6919	1	4	pure	pure	ADJ
ejpam-6919	1	5	and	and	CCONJ
ejpam-6919	1	6	applied	applied	ADJ
ejpam-6919	1	7	mathematics	mathematic	NOUN
ejpam-6919	1	8	2025	2025	NUM
ejpam-6919	1	9	,	,	PUNCT
ejpam-6919	1	10	vol	vol	NOUN
ejpam-6919	1	11	.	.	PROPN
ejpam-6919	1	12	18	18	NUM
ejpam-6919	1	13	,	,	PUNCT
ejpam-6919	1	14	issue	issue	NOUN
ejpam-6919	1	15	4	4	NUM
ejpam-6919	1	16	,	,	PUNCT
ejpam-6919	1	17	article	article	NOUN
ejpam-6919	1	18	number	number	NOUN
ejpam-6919	1	19	6919	6919	NUM
ejpam-6919	1	20	issn	issn	VERB
ejpam-6919	1	21	1307	1307	NUM
ejpam-6919	1	22	-	-	SYM
ejpam-6919	1	23	5543	5543	NUM
ejpam-6919	1	24	–	–	PUNCT
ejpam-6919	1	25	ejpam.com	ejpam.com	X
ejpam-6919	1	26	published	publish	VERB
ejpam-6919	1	27	by	by	ADP
ejpam-6919	1	28	new	new	PROPN
ejpam-6919	1	29	york	york	PROPN
ejpam-6919	1	30	business	business	PROPN
ejpam-6919	1	31	global	global	ADJ
ejpam-6919	1	32	fixed	fix	VERB
ejpam-6919	1	33	point	point	NOUN
ejpam-6919	1	34	theorems	theorem	NOUN
ejpam-6919	1	35	in	in	ADP
ejpam-6919	1	36	neutrosophic	neutrosophic	ADJ
ejpam-6919	1	37	f	f	X
ejpam-6919	1	38	-	-	PUNCT
ejpam-6919	1	39	metric	metric	ADJ
ejpam-6919	1	40	spaces	space	NOUN
ejpam-6919	1	41	and	and	CCONJ
ejpam-6919	1	42	their	their	PRON
ejpam-6919	1	43	application	application	NOUN
ejpam-6919	1	44	m.	m.	NOUN
ejpam-6919	1	45	pandiselvi1	pandiselvi1	PROPN
ejpam-6919	1	46	,	,	PUNCT
ejpam-6919	1	47	m.	m.	PROPN
ejpam-6919	1	48	jeyaraman2	jeyaraman2	PROPN
ejpam-6919	1	49	,	,	PUNCT
ejpam-6919	1	50	mohammad	mohammad	PROPN
ejpam-6919	1	51	akram3,∗	akram3,∗	VERB
ejpam-6919	1	52	1	1	NUM
ejpam-6919	1	53	research	research	NOUN
ejpam-6919	1	54	scholar	scholar	NOUN
ejpam-6919	1	55	,	,	PUNCT
ejpam-6919	1	56	pg	pg	PROPN
ejpam-6919	1	57	and	and	CCONJ
ejpam-6919	1	58	research	research	PROPN
ejpam-6919	1	59	department	department	PROPN
ejpam-6919	1	60	of	of	ADP
ejpam-6919	1	61	mathematics	mathematics	PROPN
ejpam-6919	1	62	,	,	PUNCT
ejpam-6919	1	63	raja	raja	PROPN
ejpam-6919	1	64	doraisingam	doraisingam	PROPN
ejpam-6919	1	65	govt	govt	PROPN
ejpam-6919	1	66	.	.	PUNCT
ejpam-6919	2	1	arts	arts	PROPN
ejpam-6919	2	2	college	college	PROPN
ejpam-6919	2	3	,	,	PUNCT
ejpam-6919	2	4	sivagangai	sivagangai	PROPN
ejpam-6919	2	5	,	,	PUNCT
ejpam-6919	2	6	affiliated	affiliate	VERB
ejpam-6919	2	7	to	to	PART
ejpam-6919	2	8	alagappa	alagappa	VERB
ejpam-6919	2	9	university	university	PROPN
ejpam-6919	2	10	,	,	PUNCT
ejpam-6919	2	11	karaikudi	karaikudi	PROPN
ejpam-6919	2	12	,	,	PUNCT
ejpam-6919	2	13	tamil	tamil	PROPN
ejpam-6919	2	14	nadu	nadu	PROPN
ejpam-6919	2	15	,	,	PUNCT
ejpam-6919	2	16	india	india	PROPN
ejpam-6919	2	17	2	2	NUM
ejpam-6919	2	18	pg	pg	NOUN
ejpam-6919	2	19	and	and	CCONJ
ejpam-6919	2	20	research	research	PROPN
ejpam-6919	2	21	department	department	PROPN
ejpam-6919	2	22	of	of	ADP
ejpam-6919	2	23	mathematics	mathematics	PROPN
ejpam-6919	2	24	,	,	PUNCT
ejpam-6919	2	25	raja	raja	PROPN
ejpam-6919	2	26	doraisingam	doraisingam	PROPN
ejpam-6919	2	27	govt	govt	PROPN
ejpam-6919	2	28	.	.	PUNCT
ejpam-6919	3	1	arts	arts	PROPN
ejpam-6919	3	2	college	college	PROPN
ejpam-6919	3	3	,	,	PUNCT
ejpam-6919	3	4	sivagangai	sivagangai	PROPN
ejpam-6919	3	5	,	,	PUNCT
ejpam-6919	3	6	affiliated	affiliate	VERB
ejpam-6919	3	7	to	to	PART
ejpam-6919	3	8	alagappa	alagappa	VERB
ejpam-6919	3	9	university	university	PROPN
ejpam-6919	3	10	,	,	PUNCT
ejpam-6919	3	11	karaikudi	karaikudi	PROPN
ejpam-6919	3	12	,	,	PUNCT
ejpam-6919	3	13	tamil	tamil	PROPN
ejpam-6919	3	14	nadu	nadu	PROPN
ejpam-6919	3	15	,	,	PUNCT
ejpam-6919	3	16	india	india	PROPN
ejpam-6919	3	17	3	3	NUM
ejpam-6919	3	18	department	department	NOUN
ejpam-6919	3	19	of	of	ADP
ejpam-6919	3	20	mathematics	mathematic	NOUN
ejpam-6919	3	21	,	,	PUNCT
ejpam-6919	3	22	faculty	faculty	NOUN
ejpam-6919	3	23	of	of	ADP
ejpam-6919	3	24	science	science	NOUN
ejpam-6919	3	25	,	,	PUNCT
ejpam-6919	3	26	islamic	islamic	PROPN
ejpam-6919	3	27	university	university	PROPN
ejpam-6919	3	28	of	of	ADP
ejpam-6919	3	29	madinah	madinah	PROPN
ejpam-6919	3	30	,	,	PUNCT
ejpam-6919	3	31	madinah	madinah	PROPN
ejpam-6919	3	32	42351	42351	NUM
ejpam-6919	3	33	,	,	PUNCT
ejpam-6919	3	34	saudi	saudi	PROPN
ejpam-6919	3	35	arabia	arabia	PROPN
ejpam-6919	3	36	abstract	abstract	NOUN
ejpam-6919	3	37	.	.	PUNCT
ejpam-6919	4	1	this	this	DET
ejpam-6919	4	2	study	study	NOUN
ejpam-6919	4	3	examines	examine	VERB
ejpam-6919	4	4	the	the	DET
ejpam-6919	4	5	framework	framework	NOUN
ejpam-6919	4	6	of	of	ADP
ejpam-6919	4	7	neutrosophic	neutrosophic	ADJ
ejpam-6919	4	8	f	f	X
ejpam-6919	4	9	-	-	PUNCT
ejpam-6919	4	10	metric	metric	ADJ
ejpam-6919	4	11	spaces	space	NOUN
ejpam-6919	4	12	and	and	CCONJ
ejpam-6919	4	13	highlights	highlight	NOUN
ejpam-6919	4	14	their	their	PRON
ejpam-6919	4	15	role	role	NOUN
ejpam-6919	4	16	in	in	ADP
ejpam-6919	4	17	nonlinear	nonlinear	ADJ
ejpam-6919	4	18	analysis	analysis	NOUN
ejpam-6919	4	19	.	.	PUNCT
ejpam-6919	5	1	within	within	ADP
ejpam-6919	5	2	this	this	DET
ejpam-6919	5	3	extended	extended	ADJ
ejpam-6919	5	4	setting	setting	NOUN
ejpam-6919	5	5	,	,	PUNCT
ejpam-6919	5	6	we	we	PRON
ejpam-6919	5	7	establish	establish	VERB
ejpam-6919	5	8	a	a	DET
ejpam-6919	5	9	fixed	fix	VERB
ejpam-6919	5	10	point	point	NOUN
ejpam-6919	5	11	theorem	theorem	NOUN
ejpam-6919	5	12	that	that	PRON
ejpam-6919	5	13	broadens	broaden	VERB
ejpam-6919	5	14	traditional	traditional	ADJ
ejpam-6919	5	15	results	result	NOUN
ejpam-6919	5	16	to	to	ADP
ejpam-6919	5	17	the	the	DET
ejpam-6919	5	18	neutrosophic	neutrosophic	ADJ
ejpam-6919	5	19	domain	domain	NOUN
ejpam-6919	5	20	.	.	PUNCT
ejpam-6919	6	1	the	the	DET
ejpam-6919	6	2	applicability	applicability	NOUN
ejpam-6919	6	3	of	of	ADP
ejpam-6919	6	4	the	the	DET
ejpam-6919	6	5	proposed	propose	VERB
ejpam-6919	6	6	theorem	theorem	NOUN
ejpam-6919	6	7	is	be	AUX
ejpam-6919	6	8	demonstrated	demonstrate	VERB
ejpam-6919	6	9	through	through	ADP
ejpam-6919	6	10	its	its	PRON
ejpam-6919	6	11	use	use	NOUN
ejpam-6919	6	12	in	in	ADP
ejpam-6919	6	13	modeling	model	VERB
ejpam-6919	6	14	a	a	DET
ejpam-6919	6	15	satellite	satellite	NOUN
ejpam-6919	6	16	web	web	NOUN
ejpam-6919	6	17	coupling	coupling	NOUN
ejpam-6919	6	18	problem	problem	NOUN
ejpam-6919	6	19	.	.	PUNCT
ejpam-6919	7	1	to	to	PART
ejpam-6919	7	2	substantiate	substantiate	VERB
ejpam-6919	7	3	the	the	DET
ejpam-6919	7	4	theoretical	theoretical	ADJ
ejpam-6919	7	5	contributions	contribution	NOUN
ejpam-6919	7	6	,	,	PUNCT
ejpam-6919	7	7	we	we	PRON
ejpam-6919	7	8	also	also	ADV
ejpam-6919	7	9	present	present	VERB
ejpam-6919	7	10	concrete	concrete	ADJ
ejpam-6919	7	11	examples	example	NOUN
ejpam-6919	7	12	along	along	ADP
ejpam-6919	7	13	with	with	ADP
ejpam-6919	7	14	graphical	graphical	ADJ
ejpam-6919	7	15	illustrations	illustration	NOUN
ejpam-6919	7	16	capturing	capture	VERB
ejpam-6919	7	17	the	the	DET
ejpam-6919	7	18	nature	nature	NOUN
ejpam-6919	7	19	of	of	ADP
ejpam-6919	7	20	the	the	DET
ejpam-6919	7	21	contraction	contraction	NOUN
ejpam-6919	7	22	condition	condition	NOUN
ejpam-6919	7	23	.	.	PUNCT
ejpam-6919	8	1	2020	2020	NUM
ejpam-6919	8	2	mathematics	mathematic	NOUN
ejpam-6919	8	3	subject	subject	NOUN
ejpam-6919	8	4	classifications	classification	NOUN
ejpam-6919	8	5	:	:	PUNCT
ejpam-6919	8	6	94d05	94d05	NUM
ejpam-6919	8	7	,	,	PUNCT
ejpam-6919	8	8	54h25	54h25	NUM
ejpam-6919	8	9	,	,	PUNCT
ejpam-6919	8	10	03e72	03e72	X
ejpam-6919	8	11	key	key	ADJ
ejpam-6919	8	12	words	word	NOUN
ejpam-6919	8	13	and	and	CCONJ
ejpam-6919	8	14	phrases	phrase	NOUN
ejpam-6919	8	15	:	:	PUNCT
ejpam-6919	8	16	neutrosophic	neutrosophic	ADJ
ejpam-6919	8	17	f	f	X
ejpam-6919	8	18	-	-	PUNCT
ejpam-6919	8	19	metric	metric	ADJ
ejpam-6919	8	20	space	space	NOUN
ejpam-6919	8	21	,	,	PUNCT
ejpam-6919	8	22	neutrosophic	neutrosophic	PROPN
ejpam-6919	8	23	ϕ-contraction	ϕ-contraction	PROPN
ejpam-6919	8	24	,	,	PUNCT
ejpam-6919	8	25	fixed	fix	VERB
ejpam-6919	8	26	point	point	NOUN
ejpam-6919	8	27	,	,	PUNCT
ejpam-6919	8	28	boundary	boundary	ADJ
ejpam-6919	8	29	value	value	NOUN
ejpam-6919	8	30	problem	problem	NOUN
ejpam-6919	8	31	1	1	NUM
ejpam-6919	8	32	.	.	PUNCT
ejpam-6919	9	1	introduction	introduction	NOUN
ejpam-6919	9	2	fuzzy	fuzzy	ADJ
ejpam-6919	9	3	set	set	NOUN
ejpam-6919	9	4	theory	theory	NOUN
ejpam-6919	9	5	,	,	PUNCT
ejpam-6919	9	6	introduced	introduce	VERB
ejpam-6919	9	7	by	by	ADP
ejpam-6919	9	8	zadeh	zadeh	PROPN
ejpam-6919	9	9	[	[	X
ejpam-6919	9	10	1	1	X
ejpam-6919	9	11	]	]	PUNCT
ejpam-6919	9	12	in	in	ADP
ejpam-6919	9	13	1965	1965	NUM
ejpam-6919	9	14	,	,	PUNCT
ejpam-6919	9	15	revolutionized	revolutionize	VERB
ejpam-6919	9	16	the	the	DET
ejpam-6919	9	17	mathematical	mathematical	ADJ
ejpam-6919	9	18	treatment	treatment	NOUN
ejpam-6919	9	19	of	of	ADP
ejpam-6919	9	20	uncertainty	uncertainty	NOUN
ejpam-6919	9	21	by	by	ADP
ejpam-6919	9	22	allowing	allow	VERB
ejpam-6919	9	23	elements	element	NOUN
ejpam-6919	9	24	to	to	PART
ejpam-6919	9	25	possess	possess	VERB
ejpam-6919	9	26	degrees	degree	NOUN
ejpam-6919	9	27	of	of	ADP
ejpam-6919	9	28	membership	membership	NOUN
ejpam-6919	9	29	between	between	ADP
ejpam-6919	9	30	0	0	NUM
ejpam-6919	9	31	and	and	CCONJ
ejpam-6919	9	32	1	1	NUM
ejpam-6919	9	33	.	.	PUNCT
ejpam-6919	10	1	this	this	DET
ejpam-6919	10	2	flexible	flexible	ADJ
ejpam-6919	10	3	framework	framework	NOUN
ejpam-6919	10	4	laid	lay	VERB
ejpam-6919	10	5	the	the	DET
ejpam-6919	10	6	groundwork	groundwork	NOUN
ejpam-6919	10	7	for	for	ADP
ejpam-6919	10	8	significant	significant	ADJ
ejpam-6919	10	9	advancements	advancement	NOUN
ejpam-6919	10	10	in	in	ADP
ejpam-6919	10	11	various	various	ADJ
ejpam-6919	10	12	disciplines	discipline	NOUN
ejpam-6919	10	13	,	,	PUNCT
ejpam-6919	10	14	including	include	VERB
ejpam-6919	10	15	decision	decision	NOUN
ejpam-6919	10	16	-	-	PUNCT
ejpam-6919	10	17	making	making	NOUN
ejpam-6919	10	18	,	,	PUNCT
ejpam-6919	10	19	control	control	NOUN
ejpam-6919	10	20	theory	theory	NOUN
ejpam-6919	10	21	,	,	PUNCT
ejpam-6919	10	22	and	and	CCONJ
ejpam-6919	10	23	pattern	pattern	NOUN
ejpam-6919	10	24	recognition	recognition	NOUN
ejpam-6919	10	25	.	.	PUNCT
ejpam-6919	11	1	the	the	DET
ejpam-6919	11	2	mathematical	mathematical	ADJ
ejpam-6919	11	3	foundations	foundation	NOUN
ejpam-6919	11	4	of	of	ADP
ejpam-6919	11	5	fuzzy	fuzzy	ADJ
ejpam-6919	11	6	intersection	intersection	NOUN
ejpam-6919	11	7	and	and	CCONJ
ejpam-6919	11	8	union	union	NOUN
ejpam-6919	11	9	were	be	AUX
ejpam-6919	11	10	further	far	ADV
ejpam-6919	11	11	enriched	enrich	VERB
ejpam-6919	11	12	by	by	ADP
ejpam-6919	11	13	schweizer	schweizer	PROPN
ejpam-6919	11	14	and	and	CCONJ
ejpam-6919	11	15	sklar	sklar	ADJ
ejpam-6919	12	1	[	[	X
ejpam-6919	12	2	2	2	NUM
ejpam-6919	12	3	]	]	PUNCT
ejpam-6919	12	4	through	through	ADP
ejpam-6919	12	5	the	the	DET
ejpam-6919	12	6	introduction	introduction	NOUN
ejpam-6919	12	7	of	of	ADP
ejpam-6919	12	8	continuous	continuous	ADJ
ejpam-6919	12	9	t	t	NOUN
ejpam-6919	12	10	-	-	PUNCT
ejpam-6919	12	11	norms	norm	NOUN
ejpam-6919	12	12	and	and	CCONJ
ejpam-6919	12	13	t	t	NOUN
ejpam-6919	12	14	-	-	PUNCT
ejpam-6919	12	15	conorms	conorm	NOUN
ejpam-6919	12	16	in	in	ADP
ejpam-6919	12	17	probabilistic	probabilistic	ADJ
ejpam-6919	12	18	metric	metric	ADJ
ejpam-6919	12	19	spaces	space	NOUN
ejpam-6919	12	20	.	.	PUNCT
ejpam-6919	13	1	building	build	VERB
ejpam-6919	13	2	upon	upon	SCONJ
ejpam-6919	13	3	this	this	DET
ejpam-6919	13	4	foundation	foundation	NOUN
ejpam-6919	13	5	,	,	PUNCT
ejpam-6919	13	6	kramosil	kramosil	NOUN
ejpam-6919	13	7	and	and	CCONJ
ejpam-6919	13	8	michalek	michalek	VERB
ejpam-6919	13	9	[	[	X
ejpam-6919	13	10	3	3	NUM
ejpam-6919	13	11	]	]	PUNCT
ejpam-6919	13	12	introduced	introduce	VERB
ejpam-6919	13	13	the	the	DET
ejpam-6919	13	14	notion	notion	NOUN
ejpam-6919	13	15	of	of	ADP
ejpam-6919	13	16	fuzzy	fuzzy	ADJ
ejpam-6919	13	17	metric	metric	ADJ
ejpam-6919	13	18	spaces	space	NOUN
ejpam-6919	13	19	,	,	PUNCT
ejpam-6919	13	20	which	which	PRON
ejpam-6919	13	21	was	be	AUX
ejpam-6919	13	22	later	later	ADV
ejpam-6919	13	23	refined	refine	VERB
ejpam-6919	13	24	by	by	ADP
ejpam-6919	13	25	george	george	PROPN
ejpam-6919	13	26	and	and	CCONJ
ejpam-6919	13	27	veeramani	veeramani	NOUN
ejpam-6919	14	1	[	[	X
ejpam-6919	14	2	4	4	X
ejpam-6919	14	3	]	]	PUNCT
ejpam-6919	14	4	using	use	VERB
ejpam-6919	14	5	continuous	continuous	ADJ
ejpam-6919	14	6	t	t	NOUN
ejpam-6919	14	7	-	-	PUNCT
ejpam-6919	14	8	norms	norm	NOUN
ejpam-6919	14	9	to	to	PART
ejpam-6919	14	10	ensure	ensure	VERB
ejpam-6919	14	11	topological	topological	ADJ
ejpam-6919	14	12	consistency	consistency	NOUN
ejpam-6919	14	13	.	.	PUNCT
ejpam-6919	15	1	subsequent	subsequent	ADJ
ejpam-6919	15	2	contributions	contribution	NOUN
ejpam-6919	15	3	by	by	ADP
ejpam-6919	15	4	grabiec	grabiec	PROPN
ejpam-6919	15	5	[	[	X
ejpam-6919	15	6	5	5	NUM
ejpam-6919	15	7	]	]	PUNCT
ejpam-6919	15	8	and	and	CCONJ
ejpam-6919	15	9	∗corresponding	∗corresponde	VERB
ejpam-6919	15	10	author	author	NOUN
ejpam-6919	15	11	.	.	PUNCT
ejpam-6919	16	1	doi	doi	NOUN
ejpam-6919	16	2	:	:	PUNCT
ejpam-6919	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6919	https://doi.org/10.29020/nybg.ejpam.v18i4.6919	NOUN
ejpam-6919	16	4	email	email	NOUN
ejpam-6919	16	5	addresses	address	NOUN
ejpam-6919	16	6	:	:	PUNCT
ejpam-6919	16	7	mpandiselvi2612@gmail.com	mpandiselvi2612@gmail.com	X
ejpam-6919	17	1	(	(	PUNCT
ejpam-6919	17	2	m.	m.	NOUN
ejpam-6919	17	3	pandiselvi	pandiselvi	PROPN
ejpam-6919	17	4	)	)	PUNCT
ejpam-6919	17	5	,	,	PUNCT
ejpam-6919	17	6	jeya.math@gmail.com	jeya.math@gmail.com	X
ejpam-6919	17	7	(	(	PUNCT
ejpam-6919	17	8	m.	m.	PROPN
ejpam-6919	17	9	jeyaraman	jeyaraman	PROPN
ejpam-6919	17	10	)	)	PUNCT
ejpam-6919	17	11	,	,	PUNCT
ejpam-6919	17	12	akramkhan_20@rediffmail.com	akramkhan_20@rediffmail.com	X
ejpam-6919	17	13	(	(	PUNCT
ejpam-6919	17	14	m.	m.	NOUN
ejpam-6919	17	15	akram	akram	PROPN
ejpam-6919	17	16	)	)	PUNCT
ejpam-6919	17	17	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6919	18	1	1	1	NUM
ejpam-6919	18	2	copyright	copyright	NOUN
ejpam-6919	18	3	:	:	PUNCT
ejpam-6919	18	4	©	©	PROPN
ejpam-6919	18	5	2025	2025	NUM
ejpam-6919	18	6	the	the	DET
ejpam-6919	18	7	author(s	author(s	NOUN
ejpam-6919	18	8	)	)	PUNCT
ejpam-6919	18	9	.	.	PUNCT
ejpam-6919	19	1	(	(	PUNCT
ejpam-6919	19	2	cc	cc	NOUN
ejpam-6919	19	3	by	by	ADP
ejpam-6919	19	4	-	-	PUNCT
ejpam-6919	19	5	nc	nc	PROPN
ejpam-6919	19	6	4.0	4.0	NUM
ejpam-6919	19	7	)	)	PUNCT
ejpam-6919	19	8	m.	m.	NOUN
ejpam-6919	19	9	pandiselvi	pandiselvi	PROPN
ejpam-6919	19	10	,	,	PUNCT
ejpam-6919	19	11	m.	m.	NOUN
ejpam-6919	19	12	jeyaraman	jeyaraman	PROPN
ejpam-6919	19	13	,	,	PUNCT
ejpam-6919	19	14	m.	m.	NOUN
ejpam-6919	19	15	akram	akram	PROPN
ejpam-6919	19	16	/	/	PUNCT
ejpam-6919	19	17	eur	eur	PROPN
ejpam-6919	19	18	.	.	PUNCT
ejpam-6919	20	1	j.	j.	PROPN
ejpam-6919	20	2	pure	pure	PROPN
ejpam-6919	20	3	appl	appl	PROPN
ejpam-6919	20	4	.	.	PROPN
ejpam-6919	20	5	math	math	PROPN
ejpam-6919	20	6	,	,	PUNCT
ejpam-6919	20	7	18	18	NUM
ejpam-6919	20	8	(	(	PUNCT
ejpam-6919	20	9	4	4	NUM
ejpam-6919	20	10	)	)	PUNCT
ejpam-6919	20	11	(	(	PUNCT
ejpam-6919	20	12	2025	2025	NUM
ejpam-6919	20	13	)	)	PUNCT
ejpam-6919	20	14	,	,	PUNCT
ejpam-6919	20	15	6919	6919	NUM
ejpam-6919	20	16	2	2	NUM
ejpam-6919	20	17	of	of	ADP
ejpam-6919	20	18	16	16	NUM
ejpam-6919	20	19	gregori	gregori	NOUN
ejpam-6919	20	20	and	and	CCONJ
ejpam-6919	20	21	sapena	sapena	ADJ
ejpam-6919	21	1	[	[	X
ejpam-6919	21	2	6	6	NUM
ejpam-6919	21	3	]	]	PUNCT
ejpam-6919	21	4	established	establish	VERB
ejpam-6919	21	5	fundamental	fundamental	ADJ
ejpam-6919	21	6	fixed	fix	VERB
ejpam-6919	21	7	point	point	NOUN
ejpam-6919	21	8	results	result	NOUN
ejpam-6919	21	9	within	within	ADP
ejpam-6919	21	10	these	these	DET
ejpam-6919	21	11	spaces	space	NOUN
ejpam-6919	21	12	.	.	PUNCT
ejpam-6919	22	1	later	later	ADV
ejpam-6919	22	2	,	,	PUNCT
ejpam-6919	22	3	turkoglu	turkoglu	NOUN
ejpam-6919	22	4	and	and	CCONJ
ejpam-6919	22	5	sangurlu	sangurlu	VERB
ejpam-6919	23	1	[	[	X
ejpam-6919	23	2	7	7	NUM
ejpam-6919	23	3	]	]	PUNCT
ejpam-6919	23	4	,	,	PUNCT
ejpam-6919	23	5	as	as	ADV
ejpam-6919	23	6	well	well	ADV
ejpam-6919	23	7	as	as	ADP
ejpam-6919	23	8	sedghi	sedghi	VERB
ejpam-6919	23	9	and	and	CCONJ
ejpam-6919	23	10	shobe	shobe	ADV
ejpam-6919	24	1	[	[	X
ejpam-6919	24	2	8	8	NUM
ejpam-6919	24	3	]	]	PUNCT
ejpam-6919	24	4	,	,	PUNCT
ejpam-6919	24	5	extended	extend	VERB
ejpam-6919	24	6	the	the	DET
ejpam-6919	24	7	concept	concept	NOUN
ejpam-6919	24	8	to	to	PART
ejpam-6919	24	9	fuzzyψ	fuzzyψ	VERB
ejpam-6919	24	10	and	and	CCONJ
ejpam-6919	24	11	b	b	NOUN
ejpam-6919	24	12	-	-	PUNCT
ejpam-6919	24	13	fuzzy	fuzzy	ADJ
ejpam-6919	24	14	contractive	contractive	ADJ
ejpam-6919	24	15	mappings	mapping	NOUN
ejpam-6919	24	16	.	.	PUNCT
ejpam-6919	25	1	the	the	DET
ejpam-6919	25	2	seminal	seminal	ADJ
ejpam-6919	25	3	work	work	NOUN
ejpam-6919	25	4	of	of	ADP
ejpam-6919	25	5	wardowski	wardowski	NOUN
ejpam-6919	25	6	[	[	X
ejpam-6919	25	7	9	9	NUM
ejpam-6919	25	8	]	]	PUNCT
ejpam-6919	25	9	on	on	ADP
ejpam-6919	25	10	fcontractions	fcontraction	NOUN
ejpam-6919	25	11	inspired	inspire	VERB
ejpam-6919	25	12	further	further	ADJ
ejpam-6919	25	13	generalizations	generalization	NOUN
ejpam-6919	25	14	such	such	ADJ
ejpam-6919	25	15	as	as	ADP
ejpam-6919	25	16	(	(	PUNCT
ejpam-6919	25	17	f	f	X
ejpam-6919	25	18	,	,	PUNCT
ejpam-6919	25	19	ϕ)and	ϕ)and	PRON
ejpam-6919	25	20	ϕ-contractive	ϕ-contractive	NOUN
ejpam-6919	25	21	mappings	mapping	NOUN
ejpam-6919	25	22	explored	explore	VERB
ejpam-6919	25	23	by	by	ADP
ejpam-6919	25	24	sezen	sezen	NOUN
ejpam-6919	25	25	and	and	CCONJ
ejpam-6919	25	26	türkoglu	türkoglu	NOUN
ejpam-6919	25	27	[	[	X
ejpam-6919	25	28	10	10	NUM
ejpam-6919	25	29	]	]	PUNCT
ejpam-6919	25	30	and	and	CCONJ
ejpam-6919	25	31	nadaban	nadaban	ADJ
ejpam-6919	25	32	et	et	PROPN
ejpam-6919	25	33	al	al	PROPN
ejpam-6919	25	34	.	.	PUNCT
ejpam-6919	26	1	[	[	X
ejpam-6919	26	2	11	11	NUM
ejpam-6919	26	3	]	]	PUNCT
ejpam-6919	26	4	,	,	PUNCT
ejpam-6919	26	5	respectively	respectively	ADV
ejpam-6919	26	6	.	.	PUNCT
ejpam-6919	27	1	das	das	PROPN
ejpam-6919	27	2	et	et	PROPN
ejpam-6919	27	3	al	al	PROPN
ejpam-6919	27	4	.	.	PUNCT
ejpam-6919	28	1	[	[	X
ejpam-6919	28	2	12	12	NUM
ejpam-6919	28	3	]	]	X
ejpam-6919	28	4	advanced	advance	VERB
ejpam-6919	28	5	the	the	DET
ejpam-6919	28	6	theory	theory	NOUN
ejpam-6919	28	7	by	by	ADP
ejpam-6919	28	8	introducing	introduce	VERB
ejpam-6919	28	9	fuzzy	fuzzy	ADJ
ejpam-6919	28	10	f	f	NOUN
ejpam-6919	28	11	-	-	PUNCT
ejpam-6919	28	12	metric	metric	ADJ
ejpam-6919	28	13	spaces	space	NOUN
ejpam-6919	28	14	through	through	ADP
ejpam-6919	28	15	a	a	DET
ejpam-6919	28	16	special	special	ADJ
ejpam-6919	28	17	class	class	NOUN
ejpam-6919	28	18	of	of	ADP
ejpam-6919	28	19	functions	function	NOUN
ejpam-6919	28	20	f	f	NOUN
ejpam-6919	28	21	:	:	PUNCT
ejpam-6919	29	1	[	[	X
ejpam-6919	29	2	0	0	NUM
ejpam-6919	29	3	,	,	PUNCT
ejpam-6919	29	4	1	1	NUM
ejpam-6919	29	5	]	]	PUNCT
ejpam-6919	29	6	→	→	PUNCT
ejpam-6919	29	7	[	[	X
ejpam-6919	29	8	0	0	NUM
ejpam-6919	29	9	,	,	PUNCT
ejpam-6919	29	10	1	1	NUM
ejpam-6919	29	11	]	]	PUNCT
ejpam-6919	29	12	,	,	PUNCT
ejpam-6919	29	13	thereby	thereby	ADV
ejpam-6919	29	14	relaxing	relax	VERB
ejpam-6919	29	15	the	the	DET
ejpam-6919	29	16	traditional	traditional	ADJ
ejpam-6919	29	17	axioms	axiom	NOUN
ejpam-6919	29	18	of	of	ADP
ejpam-6919	29	19	fuzzy	fuzzy	ADJ
ejpam-6919	29	20	metric	metric	ADJ
ejpam-6919	29	21	spaces	space	NOUN
ejpam-6919	29	22	.	.	PUNCT
ejpam-6919	30	1	their	their	PRON
ejpam-6919	30	2	framework	framework	NOUN
ejpam-6919	30	3	offered	offer	VERB
ejpam-6919	30	4	a	a	DET
ejpam-6919	30	5	broader	broad	ADJ
ejpam-6919	30	6	analytical	analytical	ADJ
ejpam-6919	30	7	structure	structure	NOUN
ejpam-6919	30	8	for	for	ADP
ejpam-6919	30	9	capturing	capture	VERB
ejpam-6919	30	10	uncertainty	uncertainty	NOUN
ejpam-6919	30	11	and	and	CCONJ
ejpam-6919	30	12	distance	distance	NOUN
ejpam-6919	30	13	.	.	PUNCT
ejpam-6919	31	1	parallel	parallel	ADJ
ejpam-6919	31	2	developments	development	NOUN
ejpam-6919	31	3	emerged	emerge	VERB
ejpam-6919	31	4	from	from	ADP
ejpam-6919	31	5	atanassov	atanassov	PROPN
ejpam-6919	31	6	’s	’s	PART
ejpam-6919	31	7	[	[	X
ejpam-6919	31	8	13	13	NUM
ejpam-6919	31	9	]	]	PUNCT
ejpam-6919	31	10	introduction	introduction	NOUN
ejpam-6919	31	11	of	of	ADP
ejpam-6919	31	12	intuitionistic	intuitionistic	ADJ
ejpam-6919	31	13	fuzzy	fuzzy	ADJ
ejpam-6919	31	14	sets	set	NOUN
ejpam-6919	31	15	,	,	PUNCT
ejpam-6919	31	16	which	which	PRON
ejpam-6919	31	17	assign	assign	VERB
ejpam-6919	31	18	each	each	DET
ejpam-6919	31	19	element	element	NOUN
ejpam-6919	31	20	both	both	CCONJ
ejpam-6919	31	21	membership	membership	NOUN
ejpam-6919	31	22	and	and	CCONJ
ejpam-6919	31	23	non	non	ADJ
ejpam-6919	31	24	-	-	ADJ
ejpam-6919	31	25	membership	membership	ADJ
ejpam-6919	31	26	degrees	degree	NOUN
ejpam-6919	31	27	.	.	PUNCT
ejpam-6919	32	1	park	park	NOUN
ejpam-6919	33	1	[	[	X
ejpam-6919	33	2	14	14	NUM
ejpam-6919	33	3	]	]	PUNCT
ejpam-6919	33	4	extended	extend	VERB
ejpam-6919	33	5	this	this	DET
ejpam-6919	33	6	idea	idea	NOUN
ejpam-6919	33	7	to	to	ADP
ejpam-6919	33	8	intuitionistic	intuitionistic	ADJ
ejpam-6919	33	9	fuzzy	fuzzy	ADJ
ejpam-6919	33	10	metric	metric	ADJ
ejpam-6919	33	11	spaces	space	NOUN
ejpam-6919	33	12	,	,	PUNCT
ejpam-6919	33	13	later	later	ADV
ejpam-6919	33	14	studied	study	VERB
ejpam-6919	33	15	further	far	ADV
ejpam-6919	33	16	by	by	ADP
ejpam-6919	33	17	xia	xia	PROPN
ejpam-6919	33	18	et	et	PROPN
ejpam-6919	33	19	al	al	PROPN
ejpam-6919	33	20	.	.	PUNCT
ejpam-6919	34	1	[	[	X
ejpam-6919	34	2	15	15	NUM
ejpam-6919	34	3	]	]	PUNCT
ejpam-6919	34	4	.	.	PUNCT
ejpam-6919	35	1	these	these	DET
ejpam-6919	35	2	structures	structure	NOUN
ejpam-6919	35	3	enabled	enable	VERB
ejpam-6919	35	4	a	a	DET
ejpam-6919	35	5	more	more	ADV
ejpam-6919	35	6	refined	refined	ADJ
ejpam-6919	35	7	representation	representation	NOUN
ejpam-6919	35	8	of	of	ADP
ejpam-6919	35	9	vagueness	vagueness	NOUN
ejpam-6919	35	10	compared	compare	VERB
ejpam-6919	35	11	to	to	ADP
ejpam-6919	35	12	classical	classical	ADJ
ejpam-6919	35	13	fuzzy	fuzzy	ADJ
ejpam-6919	35	14	models	model	NOUN
ejpam-6919	35	15	.	.	PUNCT
ejpam-6919	36	1	the	the	DET
ejpam-6919	36	2	notion	notion	NOUN
ejpam-6919	36	3	of	of	ADP
ejpam-6919	36	4	neutrosophy	neutrosophy	NOUN
ejpam-6919	36	5	,	,	PUNCT
ejpam-6919	36	6	proposed	propose	VERB
ejpam-6919	36	7	by	by	ADP
ejpam-6919	36	8	smarandache	smarandache	NOUN
ejpam-6919	36	9	[	[	X
ejpam-6919	36	10	16	16	NUM
ejpam-6919	36	11	]	]	PUNCT
ejpam-6919	36	12	,	,	PUNCT
ejpam-6919	36	13	incorporated	incorporate	VERB
ejpam-6919	36	14	an	an	DET
ejpam-6919	36	15	additional	additional	ADJ
ejpam-6919	36	16	degree	degree	NOUN
ejpam-6919	36	17	of	of	ADP
ejpam-6919	36	18	indeterminacy	indeterminacy	NOUN
ejpam-6919	36	19	,	,	PUNCT
ejpam-6919	36	20	paving	pave	VERB
ejpam-6919	36	21	the	the	DET
ejpam-6919	36	22	way	way	NOUN
ejpam-6919	36	23	for	for	ADP
ejpam-6919	36	24	neutrosophic	neutrosophic	ADJ
ejpam-6919	36	25	sets	set	NOUN
ejpam-6919	36	26	and	and	CCONJ
ejpam-6919	36	27	logic	logic	NOUN
ejpam-6919	36	28	.	.	PUNCT
ejpam-6919	37	1	kirisci	kirisci	NOUN
ejpam-6919	37	2	and	and	CCONJ
ejpam-6919	37	3	simsek	simsek	VERB
ejpam-6919	37	4	[	[	X
ejpam-6919	37	5	17	17	NUM
ejpam-6919	37	6	]	]	PUNCT
ejpam-6919	37	7	unified	unify	VERB
ejpam-6919	37	8	the	the	DET
ejpam-6919	37	9	membership	membership	NOUN
ejpam-6919	37	10	,	,	PUNCT
ejpam-6919	37	11	non	non	ADJ
ejpam-6919	37	12	-	-	NOUN
ejpam-6919	37	13	membership	membership	NOUN
ejpam-6919	37	14	,	,	PUNCT
ejpam-6919	37	15	and	and	CCONJ
ejpam-6919	37	16	indeterminacy	indeterminacy	NOUN
ejpam-6919	37	17	components	component	NOUN
ejpam-6919	37	18	to	to	PART
ejpam-6919	37	19	formulate	formulate	VERB
ejpam-6919	37	20	neutrosophic	neutrosophic	ADJ
ejpam-6919	37	21	metric	metric	ADJ
ejpam-6919	37	22	spaces	space	NOUN
ejpam-6919	37	23	,	,	PUNCT
ejpam-6919	37	24	while	while	SCONJ
ejpam-6919	37	25	ahmad	ahmad	PROPN
ejpam-6919	37	26	et	et	PROPN
ejpam-6919	37	27	al	al	PROPN
ejpam-6919	37	28	.	.	PUNCT
ejpam-6919	38	1	[	[	X
ejpam-6919	38	2	18	18	NUM
ejpam-6919	38	3	]	]	PUNCT
ejpam-6919	38	4	extended	extend	VERB
ejpam-6919	38	5	the	the	DET
ejpam-6919	38	6	idea	idea	NOUN
ejpam-6919	38	7	to	to	ADP
ejpam-6919	38	8	neutrosophic	neutrosophic	ADJ
ejpam-6919	38	9	b	b	X
ejpam-6919	38	10	-	-	PUNCT
ejpam-6919	38	11	metric	metric	ADJ
ejpam-6919	38	12	spaces	space	NOUN
ejpam-6919	38	13	and	and	CCONJ
ejpam-6919	38	14	derived	derive	VERB
ejpam-6919	38	15	associated	associate	VERB
ejpam-6919	38	16	fixed	fix	VERB
ejpam-6919	38	17	point	point	NOUN
ejpam-6919	38	18	theorems	theorem	NOUN
ejpam-6919	38	19	.	.	PUNCT
ejpam-6919	39	1	further	further	ADJ
ejpam-6919	39	2	advancements	advancement	NOUN
ejpam-6919	39	3	include	include	VERB
ejpam-6919	39	4	the	the	DET
ejpam-6919	39	5	works	work	NOUN
ejpam-6919	39	6	of	of	ADP
ejpam-6919	39	7	jeyaraman	jeyaraman	PROPN
ejpam-6919	39	8	et	et	PROPN
ejpam-6919	39	9	al	al	PROPN
ejpam-6919	39	10	.	.	PUNCT
ejpam-6919	40	1	[	[	X
ejpam-6919	40	2	19–21	19–21	NUM
ejpam-6919	40	3	]	]	X
ejpam-6919	40	4	,	,	PUNCT
ejpam-6919	40	5	who	who	PRON
ejpam-6919	40	6	developed	develop	VERB
ejpam-6919	40	7	fixed	fix	VERB
ejpam-6919	40	8	point	point	NOUN
ejpam-6919	40	9	results	result	NOUN
ejpam-6919	40	10	under	under	ADP
ejpam-6919	40	11	generalized	generalized	ADJ
ejpam-6919	40	12	contraction	contraction	NOUN
ejpam-6919	40	13	conditions	condition	NOUN
ejpam-6919	40	14	.	.	PUNCT
ejpam-6919	41	1	more	more	ADV
ejpam-6919	41	2	recently	recently	ADV
ejpam-6919	41	3	,	,	PUNCT
ejpam-6919	41	4	akram	akram	PROPN
ejpam-6919	41	5	et	et	PROPN
ejpam-6919	41	6	al	al	PROPN
ejpam-6919	41	7	.	.	PUNCT
ejpam-6919	42	1	[	[	X
ejpam-6919	42	2	22	22	NUM
ejpam-6919	42	3	]	]	PUNCT
ejpam-6919	42	4	presented	present	VERB
ejpam-6919	42	5	new	new	ADJ
ejpam-6919	42	6	classes	class	NOUN
ejpam-6919	42	7	of	of	ADP
ejpam-6919	42	8	generalized	generalized	ADJ
ejpam-6919	42	9	neutrosophic	neutrosophic	ADJ
ejpam-6919	42	10	metric	metric	ADJ
ejpam-6919	42	11	spaces	space	NOUN
ejpam-6919	42	12	,	,	PUNCT
ejpam-6919	42	13	highlighting	highlight	VERB
ejpam-6919	42	14	their	their	PRON
ejpam-6919	42	15	structural	structural	ADJ
ejpam-6919	42	16	richness	richness	NOUN
ejpam-6919	42	17	and	and	CCONJ
ejpam-6919	42	18	applications	application	NOUN
ejpam-6919	42	19	.	.	PUNCT
ejpam-6919	43	1	motivated	motivate	VERB
ejpam-6919	43	2	by	by	ADP
ejpam-6919	43	3	these	these	DET
ejpam-6919	43	4	foundational	foundational	ADJ
ejpam-6919	43	5	and	and	CCONJ
ejpam-6919	43	6	modern	modern	ADJ
ejpam-6919	43	7	developments	development	NOUN
ejpam-6919	43	8	,	,	PUNCT
ejpam-6919	43	9	as	as	ADV
ejpam-6919	43	10	well	well	ADV
ejpam-6919	43	11	as	as	ADP
ejpam-6919	43	12	the	the	DET
ejpam-6919	43	13	extensive	extensive	ADJ
ejpam-6919	43	14	literature	literature	NOUN
ejpam-6919	43	15	on	on	ADP
ejpam-6919	43	16	fixed	fix	VERB
ejpam-6919	43	17	point	point	NOUN
ejpam-6919	43	18	theory	theory	NOUN
ejpam-6919	43	19	across	across	ADP
ejpam-6919	43	20	generalized	generalized	ADJ
ejpam-6919	43	21	fuzzy	fuzzy	ADJ
ejpam-6919	43	22	settings	setting	NOUN
ejpam-6919	43	23	(	(	PUNCT
ejpam-6919	43	24	[	[	X
ejpam-6919	43	25	23–26	23–26	NOUN
ejpam-6919	43	26	]	]	PUNCT
ejpam-6919	43	27	)	)	PUNCT
ejpam-6919	43	28	,	,	PUNCT
ejpam-6919	43	29	we	we	PRON
ejpam-6919	43	30	introduce	introduce	VERB
ejpam-6919	43	31	a	a	DET
ejpam-6919	43	32	new	new	ADJ
ejpam-6919	43	33	class	class	NOUN
ejpam-6919	43	34	of	of	ADP
ejpam-6919	43	35	neutrosophic	neutrosophic	ADJ
ejpam-6919	43	36	f	f	X
ejpam-6919	43	37	-	-	PUNCT
ejpam-6919	43	38	metric	metric	ADJ
ejpam-6919	43	39	spaces	space	NOUN
ejpam-6919	43	40	and	and	CCONJ
ejpam-6919	43	41	establish	establish	VERB
ejpam-6919	43	42	fixed	fix	VERB
ejpam-6919	43	43	point	point	NOUN
ejpam-6919	43	44	theorems	theorem	NOUN
ejpam-6919	43	45	under	under	ADP
ejpam-6919	43	46	generalized	generalized	ADJ
ejpam-6919	43	47	contraction	contraction	NOUN
ejpam-6919	43	48	conditions	condition	NOUN
ejpam-6919	43	49	.	.	PUNCT
ejpam-6919	44	1	these	these	DET
ejpam-6919	44	2	results	result	NOUN
ejpam-6919	44	3	extend	extend	VERB
ejpam-6919	44	4	and	and	CCONJ
ejpam-6919	44	5	unify	unify	VERB
ejpam-6919	44	6	the	the	DET
ejpam-6919	44	7	existing	exist	VERB
ejpam-6919	44	8	work	work	NOUN
ejpam-6919	44	9	in	in	ADP
ejpam-6919	44	10	fuzzy	fuzzy	ADJ
ejpam-6919	44	11	,	,	PUNCT
ejpam-6919	44	12	intuitionistic	intuitionistic	ADJ
ejpam-6919	44	13	fuzzy	fuzzy	ADJ
ejpam-6919	44	14	,	,	PUNCT
ejpam-6919	44	15	and	and	CCONJ
ejpam-6919	44	16	neutrosophic	neutrosophic	ADJ
ejpam-6919	44	17	frameworks	framework	NOUN
ejpam-6919	44	18	.	.	PUNCT
ejpam-6919	45	1	to	to	PART
ejpam-6919	45	2	illustrate	illustrate	VERB
ejpam-6919	45	3	the	the	DET
ejpam-6919	45	4	practical	practical	ADJ
ejpam-6919	45	5	significance	significance	NOUN
ejpam-6919	45	6	,	,	PUNCT
ejpam-6919	45	7	we	we	PRON
ejpam-6919	45	8	apply	apply	VERB
ejpam-6919	45	9	our	our	PRON
ejpam-6919	45	10	theoretical	theoretical	ADJ
ejpam-6919	45	11	findings	finding	NOUN
ejpam-6919	45	12	to	to	ADP
ejpam-6919	45	13	a	a	DET
ejpam-6919	45	14	nonlinear	nonlinear	ADJ
ejpam-6919	45	15	satellite	satellite	NOUN
ejpam-6919	45	16	web	web	NOUN
ejpam-6919	45	17	coupling	coupling	NOUN
ejpam-6919	45	18	problem	problem	NOUN
ejpam-6919	45	19	,	,	PUNCT
ejpam-6919	45	20	supported	support	VERB
ejpam-6919	45	21	by	by	ADP
ejpam-6919	45	22	numerical	numerical	ADJ
ejpam-6919	45	23	examples	example	NOUN
ejpam-6919	45	24	and	and	CCONJ
ejpam-6919	45	25	graphical	graphical	ADJ
ejpam-6919	45	26	analysis	analysis	NOUN
ejpam-6919	45	27	.	.	PUNCT
ejpam-6919	46	1	the	the	DET
ejpam-6919	46	2	outcomes	outcome	NOUN
ejpam-6919	46	3	demonstrate	demonstrate	VERB
ejpam-6919	46	4	both	both	DET
ejpam-6919	46	5	theoretical	theoretical	ADJ
ejpam-6919	46	6	advancement	advancement	NOUN
ejpam-6919	46	7	and	and	CCONJ
ejpam-6919	46	8	potential	potential	ADJ
ejpam-6919	46	9	applications	application	NOUN
ejpam-6919	46	10	in	in	ADP
ejpam-6919	46	11	complex	complex	ADJ
ejpam-6919	46	12	systems	system	NOUN
ejpam-6919	46	13	modeling	modeling	NOUN
ejpam-6919	46	14	.	.	PUNCT
ejpam-6919	47	1	2	2	X
ejpam-6919	47	2	.	.	X
ejpam-6919	47	3	preliminaries	preliminary	NOUN
ejpam-6919	47	4	this	this	DET
ejpam-6919	47	5	section	section	NOUN
ejpam-6919	47	6	presents	present	VERB
ejpam-6919	47	7	the	the	DET
ejpam-6919	47	8	basic	basic	ADJ
ejpam-6919	47	9	definitions	definition	NOUN
ejpam-6919	47	10	and	and	CCONJ
ejpam-6919	47	11	notions	notion	NOUN
ejpam-6919	47	12	of	of	ADP
ejpam-6919	47	13	neutrosophic	neutrosophic	ADJ
ejpam-6919	47	14	metric	metric	ADJ
ejpam-6919	47	15	spaces	space	NOUN
ejpam-6919	47	16	and	and	CCONJ
ejpam-6919	47	17	neutrosophic	neutrosophic	ADJ
ejpam-6919	47	18	f	f	X
ejpam-6919	47	19	-	-	PUNCT
ejpam-6919	47	20	metric	metric	ADJ
ejpam-6919	47	21	spaces	space	NOUN
ejpam-6919	47	22	that	that	PRON
ejpam-6919	47	23	form	form	VERB
ejpam-6919	47	24	the	the	DET
ejpam-6919	47	25	foundation	foundation	NOUN
ejpam-6919	47	26	for	for	ADP
ejpam-6919	47	27	our	our	PRON
ejpam-6919	47	28	main	main	ADJ
ejpam-6919	47	29	results	result	NOUN
ejpam-6919	47	30	.	.	PUNCT
ejpam-6919	48	1	definition	definition	NOUN
ejpam-6919	48	2	1	1	NUM
ejpam-6919	48	3	.	.	PUNCT
ejpam-6919	49	1	[	[	X
ejpam-6919	49	2	17]a	17]a	NUM
ejpam-6919	49	3	binary	binary	ADJ
ejpam-6919	49	4	operation	operation	NOUN
ejpam-6919	49	5	?	?	PUNCT
ejpam-6919	49	6	:	:	PUNCT
ejpam-6919	50	1	[	[	X
ejpam-6919	50	2	0	0	NUM
ejpam-6919	50	3	,	,	PUNCT
ejpam-6919	50	4	1]×	1]×	NUM
ejpam-6919	50	5	[	[	X
ejpam-6919	50	6	0	0	NUM
ejpam-6919	50	7	,	,	PUNCT
ejpam-6919	50	8	1	1	NUM
ejpam-6919	50	9	]	]	PUNCT
ejpam-6919	50	10	→	→	PUNCT
ejpam-6919	50	11	[	[	X
ejpam-6919	50	12	0	0	NUM
ejpam-6919	50	13	,	,	PUNCT
ejpam-6919	50	14	1	1	NUM
ejpam-6919	50	15	]	]	PUNCT
ejpam-6919	50	16	is	be	AUX
ejpam-6919	50	17	referred	refer	VERB
ejpam-6919	50	18	to	to	ADP
ejpam-6919	50	19	as	as	ADP
ejpam-6919	50	20	a	a	DET
ejpam-6919	50	21	continous	continous	ADJ
ejpam-6919	50	22	t	t	NOUN
ejpam-6919	50	23	-	-	PUNCT
ejpam-6919	50	24	norm	norm	NOUN
ejpam-6919	50	25	[	[	X
ejpam-6919	50	26	ct	ct	NOUN
ejpam-6919	50	27	n	n	X
ejpam-6919	50	28	]	]	X
ejpam-6919	50	29	if	if	SCONJ
ejpam-6919	50	30	it	it	PRON
ejpam-6919	50	31	meets	meet	VERB
ejpam-6919	50	32	the	the	DET
ejpam-6919	50	33	following	following	ADJ
ejpam-6919	50	34	conditions	condition	NOUN
ejpam-6919	50	35	:	:	PUNCT
ejpam-6919	50	36	(	(	PUNCT
ejpam-6919	50	37	i	i	NOUN
ejpam-6919	50	38	)	)	PUNCT
ejpam-6919	50	39	?	?	PUNCT
ejpam-6919	51	1	is	be	AUX
ejpam-6919	51	2	associative	associative	ADJ
ejpam-6919	51	3	and	and	CCONJ
ejpam-6919	51	4	commutative	commutative	ADJ
ejpam-6919	51	5	;	;	PUNCT
ejpam-6919	51	6	(	(	PUNCT
ejpam-6919	51	7	ii	ii	NOUN
ejpam-6919	51	8	)	)	PUNCT
ejpam-6919	51	9	?	?	PUNCT
ejpam-6919	52	1	is	be	AUX
ejpam-6919	52	2	continuous	continuous	ADJ
ejpam-6919	52	3	;	;	PUNCT
ejpam-6919	52	4	(	(	PUNCT
ejpam-6919	52	5	iii	iii	X
ejpam-6919	52	6	)	)	PUNCT
ejpam-6919	52	7	p	p	NOUN
ejpam-6919	52	8	?	?	PUNCT
ejpam-6919	53	1	1	1	NUM
ejpam-6919	53	2	=	=	SYM
ejpam-6919	53	3	p	p	NOUN
ejpam-6919	53	4	,	,	PUNCT
ejpam-6919	53	5	∀	∀	PUNCT
ejpam-6919	53	6	p	p	NOUN
ejpam-6919	53	7	∈	∈	PROPN
ejpam-6919	54	1	[	[	X
ejpam-6919	54	2	0	0	NUM
ejpam-6919	54	3	,	,	PUNCT
ejpam-6919	54	4	1	1	NUM
ejpam-6919	54	5	]	]	PUNCT
ejpam-6919	54	6	;	;	PUNCT
ejpam-6919	54	7	(	(	PUNCT
ejpam-6919	54	8	iv	iv	X
ejpam-6919	54	9	)	)	PUNCT
ejpam-6919	54	10	p	p	NOUN
ejpam-6919	54	11	?	?	PUNCT
ejpam-6919	55	1	r	r	NOUN
ejpam-6919	55	2	≤	≤	NUM
ejpam-6919	55	3	q	q	NOUN
ejpam-6919	55	4	?	?	PUNCT
ejpam-6919	55	5	s	s	VERB
ejpam-6919	55	6	whenever	whenever	SCONJ
ejpam-6919	55	7	p	p	NOUN
ejpam-6919	55	8	≤	≤	X
ejpam-6919	55	9	q	q	PUNCT
ejpam-6919	55	10	and	and	CCONJ
ejpam-6919	55	11	r	r	NOUN
ejpam-6919	55	12	≤	≤	NUM
ejpam-6919	55	13	s	s	NOUN
ejpam-6919	55	14	,	,	PUNCT
ejpam-6919	55	15	∀	∀	X
ejpam-6919	55	16	p	p	NOUN
ejpam-6919	55	17	,	,	PUNCT
ejpam-6919	55	18	q	q	ADJ
ejpam-6919	55	19	,	,	PUNCT
ejpam-6919	55	20	r	r	NOUN
ejpam-6919	55	21	,	,	PUNCT
ejpam-6919	55	22	s	s	NOUN
ejpam-6919	55	23	∈	∈	PROPN
ejpam-6919	56	1	[	[	X
ejpam-6919	56	2	0	0	NUM
ejpam-6919	56	3	,	,	PUNCT
ejpam-6919	56	4	1	1	NUM
ejpam-6919	56	5	]	]	PUNCT
ejpam-6919	56	6	.	.	PUNCT
ejpam-6919	57	1	m.	m.	PROPN
ejpam-6919	57	2	pandiselvi	pandiselvi	PROPN
ejpam-6919	57	3	,	,	PUNCT
ejpam-6919	57	4	m.	m.	NOUN
ejpam-6919	57	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	57	6	,	,	PUNCT
ejpam-6919	57	7	m.	m.	NOUN
ejpam-6919	57	8	akram	akram	PROPN
ejpam-6919	57	9	/	/	PUNCT
ejpam-6919	57	10	eur	eur	PROPN
ejpam-6919	57	11	.	.	PUNCT
ejpam-6919	58	1	j.	j.	PROPN
ejpam-6919	58	2	pure	pure	PROPN
ejpam-6919	58	3	appl	appl	PROPN
ejpam-6919	58	4	.	.	PROPN
ejpam-6919	58	5	math	math	PROPN
ejpam-6919	58	6	,	,	PUNCT
ejpam-6919	58	7	18	18	NUM
ejpam-6919	58	8	(	(	PUNCT
ejpam-6919	58	9	4	4	NUM
ejpam-6919	58	10	)	)	PUNCT
ejpam-6919	58	11	(	(	PUNCT
ejpam-6919	58	12	2025	2025	NUM
ejpam-6919	58	13	)	)	PUNCT
ejpam-6919	58	14	,	,	PUNCT
ejpam-6919	58	15	6919	6919	NUM
ejpam-6919	58	16	3	3	NUM
ejpam-6919	58	17	of	of	ADP
ejpam-6919	58	18	16	16	NUM
ejpam-6919	58	19	example	example	NOUN
ejpam-6919	58	20	1	1	NUM
ejpam-6919	58	21	.	.	PUNCT
ejpam-6919	59	1	[	[	X
ejpam-6919	59	2	15	15	NUM
ejpam-6919	59	3	]	]	X
ejpam-6919	59	4	a	a	DET
ejpam-6919	59	5	few	few	ADJ
ejpam-6919	59	6	illustrative	illustrative	ADJ
ejpam-6919	59	7	instances	instance	NOUN
ejpam-6919	59	8	of	of	ADP
ejpam-6919	59	9	ct	ct	PRON
ejpam-6919	59	10	n	n	NOUN
ejpam-6919	59	11	are	be	AUX
ejpam-6919	59	12	given	give	VERB
ejpam-6919	59	13	below	below	ADV
ejpam-6919	59	14	:	:	PUNCT
ejpam-6919	59	15	(	(	PUNCT
ejpam-6919	59	16	i	i	NOUN
ejpam-6919	59	17	)	)	PUNCT
ejpam-6919	59	18	p	p	NOUN
ejpam-6919	59	19	?	?	PUNCT
ejpam-6919	60	1	q	q	X
ejpam-6919	61	1	=	=	PUNCT
ejpam-6919	61	2	min{p	min{p	X
ejpam-6919	61	3	,	,	PUNCT
ejpam-6919	61	4	q	q	NOUN
ejpam-6919	61	5	}	}	PUNCT
ejpam-6919	61	6	.	.	PUNCT
ejpam-6919	62	1	(	(	PUNCT
ejpam-6919	62	2	ii	ii	NOUN
ejpam-6919	62	3	)	)	PUNCT
ejpam-6919	62	4	p	p	NOUN
ejpam-6919	62	5	?	?	PUNCT
ejpam-6919	62	6	q	q	PUNCT
ejpam-6919	63	1	=	=	SYM
ejpam-6919	63	2	pq	pq	PROPN
ejpam-6919	63	3	.	.	PUNCT
ejpam-6919	63	4	(	(	PUNCT
ejpam-6919	63	5	iii	iii	X
ejpam-6919	63	6	)	)	PUNCT
ejpam-6919	63	7	p	p	NOUN
ejpam-6919	63	8	?	?	PUNCT
ejpam-6919	63	9	q	q	X
ejpam-6919	64	1	=	=	SYM
ejpam-6919	64	2	max{0	max{0	PROPN
ejpam-6919	64	3	,	,	PUNCT
ejpam-6919	64	4	p+	p+	VERB
ejpam-6919	64	5	q−	q−	PROPN
ejpam-6919	64	6	1	1	NUM
ejpam-6919	64	7	}	}	PUNCT
ejpam-6919	64	8	,	,	PUNCT
ejpam-6919	64	9	where	where	SCONJ
ejpam-6919	64	10	p	p	X
ejpam-6919	64	11	,	,	PUNCT
ejpam-6919	64	12	q	q	NOUN
ejpam-6919	64	13	∈	∈	PROPN
ejpam-6919	64	14	[	[	X
ejpam-6919	64	15	0	0	NUM
ejpam-6919	64	16	,	,	PUNCT
ejpam-6919	64	17	1	1	NUM
ejpam-6919	64	18	]	]	PUNCT
ejpam-6919	64	19	.	.	PUNCT
ejpam-6919	65	1	definition	definition	NOUN
ejpam-6919	65	2	2	2	NUM
ejpam-6919	65	3	.	.	PUNCT
ejpam-6919	66	1	[	[	X
ejpam-6919	66	2	17	17	NUM
ejpam-6919	66	3	]	]	PUNCT
ejpam-6919	66	4	a	a	DET
ejpam-6919	66	5	binary	binary	ADJ
ejpam-6919	66	6	operation	operation	NOUN
ejpam-6919	66	7	♦	♦	PROPN
ejpam-6919	66	8	:	:	PUNCT
ejpam-6919	67	1	[	[	X
ejpam-6919	67	2	0	0	NUM
ejpam-6919	67	3	,	,	PUNCT
ejpam-6919	67	4	1]×[0	1]×[0	NUM
ejpam-6919	67	5	,	,	PUNCT
ejpam-6919	67	6	1	1	NUM
ejpam-6919	67	7	]	]	PUNCT
ejpam-6919	67	8	→	→	PUNCT
ejpam-6919	67	9	[	[	X
ejpam-6919	67	10	0	0	NUM
ejpam-6919	67	11	,	,	PUNCT
ejpam-6919	67	12	1	1	NUM
ejpam-6919	67	13	]	]	PUNCT
ejpam-6919	67	14	is	be	AUX
ejpam-6919	67	15	referred	refer	VERB
ejpam-6919	67	16	to	to	ADP
ejpam-6919	67	17	as	as	ADP
ejpam-6919	67	18	a	a	DET
ejpam-6919	67	19	continuous	continuous	ADJ
ejpam-6919	67	20	t	t	NOUN
ejpam-6919	67	21	-	-	PUNCT
ejpam-6919	67	22	conorm	conorm	NOUN
ejpam-6919	67	23	[	[	X
ejpam-6919	67	24	ct	ct	X
ejpam-6919	67	25	cn	cn	X
ejpam-6919	67	26	]	]	X
ejpam-6919	67	27	if	if	SCONJ
ejpam-6919	67	28	it	it	PRON
ejpam-6919	67	29	meets	meet	VERB
ejpam-6919	67	30	the	the	DET
ejpam-6919	67	31	following	following	ADJ
ejpam-6919	67	32	conditions	condition	NOUN
ejpam-6919	67	33	:	:	PUNCT
ejpam-6919	67	34	(	(	PUNCT
ejpam-6919	67	35	i	i	NOUN
ejpam-6919	67	36	)	)	PUNCT
ejpam-6919	67	37	♦	♦	PROPN
ejpam-6919	67	38	is	be	AUX
ejpam-6919	67	39	associative	associative	ADJ
ejpam-6919	67	40	and	and	CCONJ
ejpam-6919	67	41	commutative	commutative	ADJ
ejpam-6919	67	42	;	;	PUNCT
ejpam-6919	67	43	(	(	PUNCT
ejpam-6919	67	44	ii	ii	NOUN
ejpam-6919	67	45	)	)	PUNCT
ejpam-6919	67	46	♦	♦	PROPN
ejpam-6919	67	47	is	be	AUX
ejpam-6919	67	48	continuous	continuous	ADJ
ejpam-6919	67	49	;	;	PUNCT
ejpam-6919	67	50	(	(	PUNCT
ejpam-6919	67	51	iii	iii	X
ejpam-6919	67	52	)	)	PUNCT
ejpam-6919	67	53	p	p	PROPN
ejpam-6919	67	54	♦	♦	PROPN
ejpam-6919	67	55	0	0	PROPN
ejpam-6919	67	56	=	=	SYM
ejpam-6919	67	57	p	p	NOUN
ejpam-6919	67	58	,	,	PUNCT
ejpam-6919	67	59	∀	∀	PUNCT
ejpam-6919	67	60	p	p	NOUN
ejpam-6919	67	61	∈	∈	PROPN
ejpam-6919	68	1	[	[	X
ejpam-6919	68	2	0	0	NUM
ejpam-6919	68	3	,	,	PUNCT
ejpam-6919	68	4	1	1	NUM
ejpam-6919	68	5	]	]	PUNCT
ejpam-6919	68	6	;	;	PUNCT
ejpam-6919	68	7	(	(	PUNCT
ejpam-6919	68	8	iv	iv	X
ejpam-6919	68	9	)	)	PUNCT
ejpam-6919	68	10	p	p	X
ejpam-6919	68	11	♦	♦	PROPN
ejpam-6919	68	12	r	r	NOUN
ejpam-6919	68	13	≤	≤	NUM
ejpam-6919	68	14	q	q	PROPN
ejpam-6919	68	15	♦	♦	PROPN
ejpam-6919	68	16	s	s	VERB
ejpam-6919	68	17	whenever	whenever	SCONJ
ejpam-6919	68	18	p	p	NOUN
ejpam-6919	68	19	≤	≤	X
ejpam-6919	68	20	q	q	PUNCT
ejpam-6919	68	21	and	and	CCONJ
ejpam-6919	68	22	r	r	NOUN
ejpam-6919	68	23	≤	≤	NUM
ejpam-6919	68	24	s	s	NOUN
ejpam-6919	68	25	,	,	PUNCT
ejpam-6919	68	26	∀	∀	X
ejpam-6919	68	27	p	p	NOUN
ejpam-6919	68	28	,	,	PUNCT
ejpam-6919	68	29	q	q	ADJ
ejpam-6919	68	30	,	,	PUNCT
ejpam-6919	68	31	r	r	NOUN
ejpam-6919	68	32	,	,	PUNCT
ejpam-6919	68	33	s	s	NOUN
ejpam-6919	68	34	∈	∈	PROPN
ejpam-6919	69	1	[	[	X
ejpam-6919	69	2	0	0	NUM
ejpam-6919	69	3	,	,	PUNCT
ejpam-6919	69	4	1	1	NUM
ejpam-6919	69	5	]	]	PUNCT
ejpam-6919	69	6	.	.	PUNCT
ejpam-6919	69	7	example	example	NOUN
ejpam-6919	70	1	2	2	NUM
ejpam-6919	70	2	.	.	PUNCT
ejpam-6919	71	1	[	[	X
ejpam-6919	71	2	15]the	15]the	DET
ejpam-6919	71	3	following	follow	VERB
ejpam-6919	71	4	are	be	AUX
ejpam-6919	71	5	examples	example	NOUN
ejpam-6919	71	6	of	of	ADP
ejpam-6919	71	7	ct	ct	NUM
ejpam-6919	71	8	cn	cn	PROPN
ejpam-6919	71	9	(	(	PUNCT
ejpam-6919	71	10	i	i	NOUN
ejpam-6919	71	11	)	)	PUNCT
ejpam-6919	72	1	p	p	PROPN
ejpam-6919	72	2	♦	♦	PROPN
ejpam-6919	72	3	q	q	PROPN
ejpam-6919	72	4	=	=	SYM
ejpam-6919	72	5	max{p	max{p	NOUN
ejpam-6919	72	6	,	,	PUNCT
ejpam-6919	72	7	q	q	NOUN
ejpam-6919	72	8	}	}	PUNCT
ejpam-6919	72	9	.	.	PUNCT
ejpam-6919	73	1	(	(	PUNCT
ejpam-6919	73	2	ii	ii	NOUN
ejpam-6919	73	3	)	)	PUNCT
ejpam-6919	73	4	p	p	PROPN
ejpam-6919	73	5	♦	♦	PROPN
ejpam-6919	73	6	q	q	PROPN
ejpam-6919	73	7	=	=	X
ejpam-6919	73	8	min{p+	min{p+	PROPN
ejpam-6919	73	9	q	q	NOUN
ejpam-6919	73	10	,	,	PUNCT
ejpam-6919	73	11	1	1	NUM
ejpam-6919	73	12	}	}	PUNCT
ejpam-6919	73	13	,	,	PUNCT
ejpam-6919	73	14	where	where	SCONJ
ejpam-6919	73	15	p	p	X
ejpam-6919	73	16	,	,	PUNCT
ejpam-6919	73	17	q	q	NOUN
ejpam-6919	73	18	∈	∈	PROPN
ejpam-6919	74	1	[	[	X
ejpam-6919	74	2	0	0	NUM
ejpam-6919	74	3	,	,	PUNCT
ejpam-6919	74	4	1	1	NUM
ejpam-6919	74	5	]	]	PUNCT
ejpam-6919	74	6	.	.	PUNCT
ejpam-6919	75	1	definition	definition	NOUN
ejpam-6919	75	2	3	3	NUM
ejpam-6919	75	3	.	.	PUNCT
ejpam-6919	76	1	[	[	X
ejpam-6919	76	2	16	16	NUM
ejpam-6919	76	3	]	]	PUNCT
ejpam-6919	76	4	let	let	VERB
ejpam-6919	76	5	ξ	ξ	X
ejpam-6919	76	6	be	be	AUX
ejpam-6919	76	7	a	a	DET
ejpam-6919	76	8	non	non	ADJ
ejpam-6919	76	9	-	-	ADJ
ejpam-6919	76	10	empty	empty	ADJ
ejpam-6919	76	11	fixed	fix	VERB
ejpam-6919	76	12	set	set	NOUN
ejpam-6919	76	13	.	.	PUNCT
ejpam-6919	77	1	a	a	DET
ejpam-6919	77	2	neutrosophic	neutrosophic	ADJ
ejpam-6919	77	3	set	set	NOUN
ejpam-6919	77	4	ℵ	ℵ	NOUN
ejpam-6919	77	5	is	be	AUX
ejpam-6919	77	6	defined	define	VERB
ejpam-6919	77	7	as	as	ADP
ejpam-6919	77	8	an	an	DET
ejpam-6919	77	9	object	object	NOUN
ejpam-6919	77	10	of	of	ADP
ejpam-6919	77	11	the	the	DET
ejpam-6919	77	12	form	form	NOUN
ejpam-6919	77	13	:	:	PUNCT
ejpam-6919	77	14	ℵ	ℵ	X
ejpam-6919	77	15	=	=	SYM
ejpam-6919	77	16	{	{	PUNCT
ejpam-6919	77	17	%	%	INTJ
ejpam-6919	77	18	,	,	PUNCT
ejpam-6919	77	19	aℵ(%),bℵ(%	aℵ(%),bℵ(%	ADJ
ejpam-6919	77	20	)	)	PUNCT
ejpam-6919	77	21	,	,	PUNCT
ejpam-6919	77	22	cℵ(%	cℵ(%	NOUN
ejpam-6919	77	23	)	)	PUNCT
ejpam-6919	77	24	}	}	PUNCT
ejpam-6919	77	25	,	,	PUNCT
ejpam-6919	77	26	where	where	SCONJ
ejpam-6919	77	27	(	(	PUNCT
ejpam-6919	77	28	i	i	NOUN
ejpam-6919	77	29	)	)	PUNCT
ejpam-6919	77	30	aℵ(%	aℵ(%	PROPN
ejpam-6919	77	31	):	):	PUNCT
ejpam-6919	77	32	degree	degree	NOUN
ejpam-6919	77	33	of	of	ADP
ejpam-6919	77	34	membership	membership	NOUN
ejpam-6919	77	35	of	of	ADP
ejpam-6919	77	36	%	%	NOUN
ejpam-6919	77	37	to	to	ADP
ejpam-6919	77	38	the	the	DET
ejpam-6919	77	39	set	set	NOUN
ejpam-6919	77	40	ℵ	ℵ	NOUN
ejpam-6919	77	41	,	,	PUNCT
ejpam-6919	77	42	(	(	PUNCT
ejpam-6919	77	43	ii	ii	NOUN
ejpam-6919	77	44	)	)	PUNCT
ejpam-6919	77	45	bℵ(%	bℵ(%	ADJ
ejpam-6919	77	46	):	):	PUNCT
ejpam-6919	77	47	degree	degree	NOUN
ejpam-6919	77	48	of	of	ADP
ejpam-6919	77	49	indeterminacy	indeterminacy	NOUN
ejpam-6919	77	50	,	,	PUNCT
ejpam-6919	77	51	(	(	PUNCT
ejpam-6919	77	52	iii	iii	NOUN
ejpam-6919	77	53	)	)	PUNCT
ejpam-6919	77	54	cℵ(%	cℵ(%	ADJ
ejpam-6919	77	55	):	):	PUNCT
ejpam-6919	77	56	degree	degree	NOUN
ejpam-6919	77	57	of	of	ADP
ejpam-6919	77	58	non	non	ADJ
ejpam-6919	77	59	-	-	NOUN
ejpam-6919	77	60	membership	membership	NOUN
ejpam-6919	77	61	.	.	PUNCT
ejpam-6919	78	1	definition	definition	NOUN
ejpam-6919	78	2	4	4	NUM
ejpam-6919	78	3	.	.	PUNCT
ejpam-6919	79	1	[	[	X
ejpam-6919	79	2	20	20	NUM
ejpam-6919	79	3	]	]	PUNCT
ejpam-6919	79	4	let	let	VERB
ejpam-6919	79	5	ξ	ξ	PROPN
ejpam-6919	79	6	6=	6=	ADP
ejpam-6919	79	7	∅.	∅.	VERB
ejpam-6919	79	8	for	for	ADP
ejpam-6919	79	9	a	a	DET
ejpam-6919	79	10	six	six	NUM
ejpam-6919	79	11	tuple	tuple	NOUN
ejpam-6919	79	12	(	(	PUNCT
ejpam-6919	79	13	ξ	ξ	PROPN
ejpam-6919	79	14	,	,	PUNCT
ejpam-6919	79	15	a	a	DET
ejpam-6919	79	16	,	,	PUNCT
ejpam-6919	79	17	b	b	NOUN
ejpam-6919	79	18	,	,	PUNCT
ejpam-6919	79	19	c	c	NOUN
ejpam-6919	79	20	,	,	PUNCT
ejpam-6919	79	21	?	?	PUNCT
ejpam-6919	79	22	,	,	PUNCT
ejpam-6919	79	23	♦	♦	PROPN
ejpam-6919	79	24	)	)	PUNCT
ejpam-6919	79	25	,	,	PUNCT
ejpam-6919	79	26	where	where	SCONJ
ejpam-6919	79	27	?	?	PUNCT
ejpam-6919	79	28	is	be	AUX
ejpam-6919	79	29	a	a	DET
ejpam-6919	79	30	ct	ct	PROPN
ejpam-6919	79	31	n	n	NOUN
ejpam-6919	79	32	,	,	PUNCT
ejpam-6919	79	33	♦	♦	PROPN
ejpam-6919	79	34	is	be	AUX
ejpam-6919	79	35	a	a	DET
ejpam-6919	79	36	ct	ct	PRON
ejpam-6919	79	37	cn	cn	NOUN
ejpam-6919	79	38	and	and	CCONJ
ejpam-6919	79	39	a	a	DET
ejpam-6919	79	40	,	,	PUNCT
ejpam-6919	79	41	b	b	NOUN
ejpam-6919	79	42	,	,	PUNCT
ejpam-6919	79	43	c	c	PROPN
ejpam-6919	79	44	are	be	AUX
ejpam-6919	79	45	neutrosophic	neutrosophic	ADJ
ejpam-6919	79	46	sets	set	NOUN
ejpam-6919	79	47	on	on	ADP
ejpam-6919	79	48	ξ×ξ×	ξ×ξ×	NOUN
ejpam-6919	79	49	(	(	PUNCT
ejpam-6919	79	50	0,∞	0,∞	NUM
ejpam-6919	79	51	)	)	PUNCT
ejpam-6919	79	52	,	,	PUNCT
ejpam-6919	79	53	if	if	SCONJ
ejpam-6919	79	54	(	(	PUNCT
ejpam-6919	79	55	ξ	ξ	NOUN
ejpam-6919	79	56	,	,	PUNCT
ejpam-6919	79	57	a	a	DET
ejpam-6919	79	58	,	,	PUNCT
ejpam-6919	79	59	b	b	NOUN
ejpam-6919	79	60	,	,	PUNCT
ejpam-6919	79	61	c	c	NOUN
ejpam-6919	79	62	,	,	PUNCT
ejpam-6919	79	63	?	?	PUNCT
ejpam-6919	79	64	,	,	PUNCT
ejpam-6919	79	65	♦	♦	PROPN
ejpam-6919	79	66	)	)	PUNCT
ejpam-6919	79	67	enjoys	enjoy	VERB
ejpam-6919	79	68	the	the	DET
ejpam-6919	79	69	conditions	condition	NOUN
ejpam-6919	79	70	listed	list	VERB
ejpam-6919	79	71	below	below	ADV
ejpam-6919	79	72	,	,	PUNCT
ejpam-6919	79	73	for	for	ADP
ejpam-6919	79	74	every	every	DET
ejpam-6919	79	75	%	%	NOUN
ejpam-6919	79	76	,	,	PUNCT
ejpam-6919	79	77	δ	δ	PROPN
ejpam-6919	79	78	,	,	PUNCT
ejpam-6919	79	79	z	z	PROPN
ejpam-6919	79	80	∈	∈	PROPN
ejpam-6919	79	81	ξ	ξ	PROPN
ejpam-6919	79	82	and	and	CCONJ
ejpam-6919	79	83	τ	τ	PROPN
ejpam-6919	79	84	,	,	PUNCT
ejpam-6919	79	85	ι	ι	X
ejpam-6919	79	86	>	>	X
ejpam-6919	79	87	0	0	NUM
ejpam-6919	79	88	,	,	PUNCT
ejpam-6919	79	89	1	1	NUM
ejpam-6919	79	90	.	.	NOUN
ejpam-6919	79	91	0	0	NUM
ejpam-6919	79	92	≤	≤	NUM
ejpam-6919	79	93	a(%	a(%	NOUN
ejpam-6919	79	94	,	,	PUNCT
ejpam-6919	79	95	δ	δ	PROPN
ejpam-6919	79	96	,	,	PUNCT
ejpam-6919	79	97	τ	τ	PROPN
ejpam-6919	79	98	)	)	PUNCT
ejpam-6919	79	99	≤	≤	NUM
ejpam-6919	79	100	1	1	NUM
ejpam-6919	79	101	;	;	PUNCT
ejpam-6919	79	102	0	0	NUM
ejpam-6919	79	103	≤	≤	NOUN
ejpam-6919	79	104	b(%	b(%	NOUN
ejpam-6919	79	105	,	,	PUNCT
ejpam-6919	79	106	δ	δ	PROPN
ejpam-6919	79	107	,	,	PUNCT
ejpam-6919	79	108	τ	τ	PROPN
ejpam-6919	79	109	)	)	PUNCT
ejpam-6919	79	110	≤	≤	NUM
ejpam-6919	79	111	1	1	NUM
ejpam-6919	79	112	;	;	PUNCT
ejpam-6919	79	113	0	0	NUM
ejpam-6919	79	114	≤	≤	NUM
ejpam-6919	79	115	c(%	c(%	NOUN
ejpam-6919	79	116	,	,	PUNCT
ejpam-6919	79	117	δ	δ	PROPN
ejpam-6919	79	118	,	,	PUNCT
ejpam-6919	79	119	τ	τ	PROPN
ejpam-6919	79	120	)	)	PUNCT
ejpam-6919	79	121	≤	≤	NOUN
ejpam-6919	79	122	1	1	NUM
ejpam-6919	79	123	;	;	PUNCT
ejpam-6919	79	124	2	2	NUM
ejpam-6919	80	1	.	.	X
ejpam-6919	80	2	a(%	a(%	NOUN
ejpam-6919	80	3	,	,	PUNCT
ejpam-6919	80	4	δ	δ	PROPN
ejpam-6919	80	5	,	,	PUNCT
ejpam-6919	80	6	τ	τ	PROPN
ejpam-6919	80	7	)	)	PUNCT
ejpam-6919	81	1	+	+	SYM
ejpam-6919	81	2	b(%	b(%	NOUN
ejpam-6919	81	3	,	,	PUNCT
ejpam-6919	81	4	δ	δ	PROPN
ejpam-6919	81	5	,	,	PUNCT
ejpam-6919	81	6	τ	τ	PROPN
ejpam-6919	81	7	)	)	PUNCT
ejpam-6919	81	8	+	+	NUM
ejpam-6919	81	9	c(%	c(%	NOUN
ejpam-6919	81	10	,	,	PUNCT
ejpam-6919	81	11	δ	δ	PROPN
ejpam-6919	81	12	,	,	PUNCT
ejpam-6919	81	13	τ	τ	PROPN
ejpam-6919	81	14	)	)	PUNCT
ejpam-6919	81	15	≤	≤	NOUN
ejpam-6919	81	16	3	3	NUM
ejpam-6919	81	17	;	;	PUNCT
ejpam-6919	81	18	3	3	NUM
ejpam-6919	81	19	.	.	X
ejpam-6919	81	20	a(%	a(%	NOUN
ejpam-6919	81	21	,	,	PUNCT
ejpam-6919	81	22	δ	δ	PROPN
ejpam-6919	81	23	,	,	PUNCT
ejpam-6919	81	24	τ	τ	X
ejpam-6919	81	25	)	)	PUNCT
ejpam-6919	81	26	=	=	SYM
ejpam-6919	81	27	1	1	NUM
ejpam-6919	81	28	⇔	⇔	NUM
ejpam-6919	81	29	%	%	NOUN
ejpam-6919	81	30	=	=	SYM
ejpam-6919	81	31	δ	δ	PROPN
ejpam-6919	81	32	;	;	PUNCT
ejpam-6919	81	33	4	4	X
ejpam-6919	81	34	.	.	X
ejpam-6919	82	1	a(%	a(%	NOUN
ejpam-6919	82	2	,	,	PUNCT
ejpam-6919	82	3	δ	δ	PROPN
ejpam-6919	82	4	,	,	PUNCT
ejpam-6919	82	5	τ	τ	PROPN
ejpam-6919	82	6	)	)	PUNCT
ejpam-6919	82	7	=	=	SYM
ejpam-6919	83	1	a(δ	a(δ	ADJ
ejpam-6919	83	2	,	,	PUNCT
ejpam-6919	83	3	%	%	INTJ
ejpam-6919	83	4	,	,	PUNCT
ejpam-6919	83	5	τ	τ	PROPN
ejpam-6919	83	6	)	)	PUNCT
ejpam-6919	83	7	;	;	PUNCT
ejpam-6919	83	8	5	5	X
ejpam-6919	83	9	.	.	X
ejpam-6919	84	1	a(%	a(%	NOUN
ejpam-6919	84	2	,	,	PUNCT
ejpam-6919	84	3	z	z	PROPN
ejpam-6919	84	4	,	,	PUNCT
ejpam-6919	84	5	τ	τ	PROPN
ejpam-6919	84	6	+	+	NUM
ejpam-6919	84	7	ι	ι	PROPN
ejpam-6919	84	8	)	)	PUNCT
ejpam-6919	84	9	≥	≥	NOUN
ejpam-6919	84	10	a(%	a(%	NOUN
ejpam-6919	84	11	,	,	PUNCT
ejpam-6919	84	12	δ	δ	PROPN
ejpam-6919	84	13	,	,	PUNCT
ejpam-6919	84	14	τ	τ	PROPN
ejpam-6919	84	15	)	)	PUNCT
ejpam-6919	84	16	?	?	PUNCT
ejpam-6919	85	1	a(δ	a(δ	ADJ
ejpam-6919	85	2	,	,	PUNCT
ejpam-6919	85	3	z	z	NOUN
ejpam-6919	85	4	,	,	PUNCT
ejpam-6919	85	5	ι	ι	PROPN
ejpam-6919	85	6	)	)	PUNCT
ejpam-6919	85	7	;	;	PUNCT
ejpam-6919	86	1	6	6	X
ejpam-6919	86	2	.	.	X
ejpam-6919	86	3	a(%	a(%	NOUN
ejpam-6919	86	4	,	,	PUNCT
ejpam-6919	86	5	δ	δ	PROPN
ejpam-6919	86	6	,	,	PUNCT
ejpam-6919	86	7	.	.	PUNCT
ejpam-6919	86	8	)	)	PUNCT
ejpam-6919	86	9	is	be	AUX
ejpam-6919	86	10	neutrosophic	neutrosophic	ADJ
ejpam-6919	86	11	continuous	continuous	ADJ
ejpam-6919	86	12	from	from	ADP
ejpam-6919	86	13	[	[	X
ejpam-6919	86	14	0,∞	0,∞	NOUN
ejpam-6919	86	15	)	)	PUNCT
ejpam-6919	86	16	→	→	PUNCT
ejpam-6919	87	1	[	[	X
ejpam-6919	87	2	0	0	NUM
ejpam-6919	87	3	,	,	PUNCT
ejpam-6919	87	4	1	1	NUM
ejpam-6919	87	5	]	]	PUNCT
ejpam-6919	87	6	;	;	PUNCT
ejpam-6919	87	7	7	7	X
ejpam-6919	87	8	.	.	X
ejpam-6919	87	9	lim	lim	PROPN
ejpam-6919	87	10	τ→∞	τ→∞	NUM
ejpam-6919	87	11	a(%	a(%	PROPN
ejpam-6919	87	12	,	,	PUNCT
ejpam-6919	87	13	δ	δ	PROPN
ejpam-6919	87	14	,	,	PUNCT
ejpam-6919	87	15	τ	τ	PROPN
ejpam-6919	87	16	)	)	PUNCT
ejpam-6919	87	17	=	=	SYM
ejpam-6919	87	18	1	1	NUM
ejpam-6919	87	19	;	;	PUNCT
ejpam-6919	87	20	8	8	NUM
ejpam-6919	87	21	.	.	X
ejpam-6919	87	22	b(%	b(%	PROPN
ejpam-6919	87	23	,	,	PUNCT
ejpam-6919	87	24	δ	δ	PROPN
ejpam-6919	87	25	,	,	PUNCT
ejpam-6919	87	26	τ	τ	PROPN
ejpam-6919	87	27	)	)	PUNCT
ejpam-6919	87	28	=	=	SYM
ejpam-6919	87	29	0	0	NUM
ejpam-6919	87	30	⇔	⇔	NUM
ejpam-6919	87	31	%	%	NOUN
ejpam-6919	87	32	=	=	SYM
ejpam-6919	87	33	δ	δ	PROPN
ejpam-6919	87	34	;	;	PUNCT
ejpam-6919	87	35	9	9	X
ejpam-6919	87	36	.	.	X
ejpam-6919	87	37	b(%	b(%	PROPN
ejpam-6919	87	38	,	,	PUNCT
ejpam-6919	87	39	δ	δ	PROPN
ejpam-6919	87	40	,	,	PUNCT
ejpam-6919	87	41	τ	τ	PROPN
ejpam-6919	87	42	)	)	PUNCT
ejpam-6919	87	43	=	=	SYM
ejpam-6919	87	44	b(δ	b(δ	NOUN
ejpam-6919	87	45	,	,	PUNCT
ejpam-6919	87	46	%	%	INTJ
ejpam-6919	87	47	,	,	PUNCT
ejpam-6919	87	48	τ	τ	PROPN
ejpam-6919	87	49	)	)	PUNCT
ejpam-6919	87	50	;	;	PUNCT
ejpam-6919	87	51	10	10	NUM
ejpam-6919	87	52	.	.	X
ejpam-6919	87	53	b(%	b(%	NOUN
ejpam-6919	87	54	,	,	PUNCT
ejpam-6919	87	55	z	z	PROPN
ejpam-6919	87	56	,	,	PUNCT
ejpam-6919	87	57	τ	τ	PROPN
ejpam-6919	87	58	+	+	NUM
ejpam-6919	87	59	ι	ι	X
ejpam-6919	87	60	)	)	PUNCT
ejpam-6919	87	61	≤	≤	NOUN
ejpam-6919	87	62	b(%	b(%	NOUN
ejpam-6919	87	63	,	,	PUNCT
ejpam-6919	87	64	δ	δ	PROPN
ejpam-6919	87	65	,	,	PUNCT
ejpam-6919	87	66	τ)	τ)	PROPN
ejpam-6919	87	67	♦	♦	PROPN
ejpam-6919	87	68	b(δ	b(δ	PROPN
ejpam-6919	87	69	,	,	PUNCT
ejpam-6919	87	70	z	z	PROPN
ejpam-6919	87	71	,	,	PUNCT
ejpam-6919	87	72	ι	ι	PROPN
ejpam-6919	87	73	)	)	PUNCT
ejpam-6919	87	74	;	;	PUNCT
ejpam-6919	87	75	11	11	NUM
ejpam-6919	87	76	.	.	X
ejpam-6919	87	77	b(%	b(%	PROPN
ejpam-6919	87	78	,	,	PUNCT
ejpam-6919	87	79	δ	δ	PROPN
ejpam-6919	87	80	,	,	PUNCT
ejpam-6919	87	81	.	.	PUNCT
ejpam-6919	87	82	)	)	PUNCT
ejpam-6919	87	83	is	be	AUX
ejpam-6919	87	84	neutrosophic	neutrosophic	ADJ
ejpam-6919	87	85	continuous	continuous	ADJ
ejpam-6919	87	86	from	from	ADP
ejpam-6919	87	87	[	[	X
ejpam-6919	87	88	0,∞	0,∞	NOUN
ejpam-6919	87	89	)	)	PUNCT
ejpam-6919	87	90	→	→	PUNCT
ejpam-6919	88	1	[	[	X
ejpam-6919	88	2	0	0	NUM
ejpam-6919	88	3	,	,	PUNCT
ejpam-6919	88	4	1	1	NUM
ejpam-6919	88	5	]	]	PUNCT
ejpam-6919	88	6	;	;	PUNCT
ejpam-6919	88	7	12	12	NUM
ejpam-6919	88	8	.	.	PUNCT
ejpam-6919	89	1	lim	lim	PROPN
ejpam-6919	89	2	τ→∞	τ→∞	NUM
ejpam-6919	89	3	b(%	b(%	PROPN
ejpam-6919	89	4	,	,	PUNCT
ejpam-6919	89	5	δ	δ	PROPN
ejpam-6919	89	6	,	,	PUNCT
ejpam-6919	89	7	τ	τ	PROPN
ejpam-6919	89	8	)	)	PUNCT
ejpam-6919	89	9	=	=	SYM
ejpam-6919	89	10	0	0	NUM
ejpam-6919	89	11	;	;	PUNCT
ejpam-6919	89	12	13	13	NUM
ejpam-6919	89	13	.	.	X
ejpam-6919	90	1	c(%	c(%	NOUN
ejpam-6919	90	2	,	,	PUNCT
ejpam-6919	90	3	δ	δ	PROPN
ejpam-6919	90	4	,	,	PUNCT
ejpam-6919	90	5	τ	τ	PROPN
ejpam-6919	90	6	)	)	PUNCT
ejpam-6919	90	7	=	=	SYM
ejpam-6919	90	8	0	0	NUM
ejpam-6919	90	9	⇔	⇔	NUM
ejpam-6919	90	10	%	%	NOUN
ejpam-6919	90	11	=	=	SYM
ejpam-6919	90	12	δ	δ	PROPN
ejpam-6919	90	13	;	;	PUNCT
ejpam-6919	90	14	14	14	NUM
ejpam-6919	90	15	.	.	PUNCT
ejpam-6919	91	1	c(%	c(%	NOUN
ejpam-6919	91	2	,	,	PUNCT
ejpam-6919	91	3	δ	δ	PROPN
ejpam-6919	91	4	,	,	PUNCT
ejpam-6919	91	5	τ	τ	PROPN
ejpam-6919	91	6	)	)	PUNCT
ejpam-6919	91	7	=	=	SYM
ejpam-6919	91	8	c(δ	c(δ	PROPN
ejpam-6919	91	9	,	,	PUNCT
ejpam-6919	91	10	%	%	INTJ
ejpam-6919	91	11	,	,	PUNCT
ejpam-6919	91	12	τ	τ	PROPN
ejpam-6919	91	13	)	)	PUNCT
ejpam-6919	91	14	;	;	PUNCT
ejpam-6919	91	15	15	15	NUM
ejpam-6919	91	16	.	.	X
ejpam-6919	92	1	c(%	c(%	NOUN
ejpam-6919	92	2	,	,	PUNCT
ejpam-6919	92	3	z	z	PROPN
ejpam-6919	92	4	,	,	PUNCT
ejpam-6919	92	5	τ	τ	PROPN
ejpam-6919	92	6	+	+	NUM
ejpam-6919	92	7	ι	ι	X
ejpam-6919	92	8	)	)	PUNCT
ejpam-6919	92	9	≤	≤	NOUN
ejpam-6919	92	10	c(%	c(%	NOUN
ejpam-6919	92	11	,	,	PUNCT
ejpam-6919	92	12	δ	δ	PROPN
ejpam-6919	92	13	,	,	PUNCT
ejpam-6919	92	14	τ)	τ)	PROPN
ejpam-6919	92	15	♦	♦	PROPN
ejpam-6919	92	16	c(δ	c(δ	PROPN
ejpam-6919	92	17	,	,	PUNCT
ejpam-6919	92	18	z	z	PROPN
ejpam-6919	92	19	,	,	PUNCT
ejpam-6919	92	20	ι	ι	PROPN
ejpam-6919	92	21	)	)	PUNCT
ejpam-6919	92	22	;	;	PUNCT
ejpam-6919	92	23	16	16	NUM
ejpam-6919	92	24	.	.	PUNCT
ejpam-6919	93	1	c(%	c(%	NOUN
ejpam-6919	93	2	,	,	PUNCT
ejpam-6919	93	3	δ	δ	PROPN
ejpam-6919	93	4	,	,	PUNCT
ejpam-6919	93	5	.	.	PUNCT
ejpam-6919	93	6	)	)	PUNCT
ejpam-6919	93	7	is	be	AUX
ejpam-6919	93	8	neutrosophic	neutrosophic	ADJ
ejpam-6919	93	9	continuous	continuous	ADJ
ejpam-6919	93	10	from	from	ADP
ejpam-6919	93	11	[	[	X
ejpam-6919	93	12	0,∞	0,∞	NOUN
ejpam-6919	93	13	)	)	PUNCT
ejpam-6919	93	14	→	→	PUNCT
ejpam-6919	94	1	[	[	X
ejpam-6919	94	2	0	0	NUM
ejpam-6919	94	3	,	,	PUNCT
ejpam-6919	94	4	1	1	NUM
ejpam-6919	94	5	]	]	PUNCT
ejpam-6919	94	6	;	;	PUNCT
ejpam-6919	94	7	17	17	NUM
ejpam-6919	94	8	.	.	PUNCT
ejpam-6919	95	1	lim	lim	NOUN
ejpam-6919	95	2	τ→∞	τ→∞	NUM
ejpam-6919	95	3	c(%	c(%	PROPN
ejpam-6919	95	4	,	,	PUNCT
ejpam-6919	95	5	δ	δ	PROPN
ejpam-6919	95	6	,	,	PUNCT
ejpam-6919	95	7	τ	τ	PROPN
ejpam-6919	95	8	)	)	PUNCT
ejpam-6919	95	9	=	=	SYM
ejpam-6919	96	1	0	0	X
ejpam-6919	96	2	.	.	PUNCT
ejpam-6919	97	1	then	then	ADV
ejpam-6919	97	2	(	(	PUNCT
ejpam-6919	97	3	ξ	ξ	X
ejpam-6919	97	4	,	,	PUNCT
ejpam-6919	97	5	a	a	DET
ejpam-6919	97	6	,	,	PUNCT
ejpam-6919	97	7	b	b	NOUN
ejpam-6919	97	8	,	,	PUNCT
ejpam-6919	97	9	c	c	NOUN
ejpam-6919	97	10	,	,	PUNCT
ejpam-6919	97	11	?	?	PUNCT
ejpam-6919	97	12	,	,	PUNCT
ejpam-6919	97	13	♦	♦	PROPN
ejpam-6919	97	14	)	)	PUNCT
ejpam-6919	97	15	is	be	AUX
ejpam-6919	97	16	named	name	VERB
ejpam-6919	97	17	to	to	PART
ejpam-6919	97	18	be	be	AUX
ejpam-6919	97	19	a	a	DET
ejpam-6919	97	20	neutrosophic	neutrosophic	ADJ
ejpam-6919	97	21	metric	metric	ADJ
ejpam-6919	97	22	space	space	NOUN
ejpam-6919	97	23	.	.	PUNCT
ejpam-6919	98	1	m.	m.	NOUN
ejpam-6919	98	2	pandiselvi	pandiselvi	PROPN
ejpam-6919	98	3	,	,	PUNCT
ejpam-6919	98	4	m.	m.	NOUN
ejpam-6919	98	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	98	6	,	,	PUNCT
ejpam-6919	98	7	m.	m.	NOUN
ejpam-6919	98	8	akram	akram	PROPN
ejpam-6919	98	9	/	/	PUNCT
ejpam-6919	98	10	eur	eur	PROPN
ejpam-6919	98	11	.	.	PUNCT
ejpam-6919	99	1	j.	j.	PROPN
ejpam-6919	99	2	pure	pure	PROPN
ejpam-6919	99	3	appl	appl	PROPN
ejpam-6919	99	4	.	.	PROPN
ejpam-6919	99	5	math	math	PROPN
ejpam-6919	99	6	,	,	PUNCT
ejpam-6919	99	7	18	18	NUM
ejpam-6919	99	8	(	(	PUNCT
ejpam-6919	99	9	4	4	NUM
ejpam-6919	99	10	)	)	PUNCT
ejpam-6919	99	11	(	(	PUNCT
ejpam-6919	99	12	2025	2025	NUM
ejpam-6919	99	13	)	)	PUNCT
ejpam-6919	99	14	,	,	PUNCT
ejpam-6919	99	15	6919	6919	NUM
ejpam-6919	99	16	4	4	NUM
ejpam-6919	99	17	of	of	ADP
ejpam-6919	99	18	16	16	NUM
ejpam-6919	99	19	example	example	NOUN
ejpam-6919	99	20	3	3	NUM
ejpam-6919	99	21	.	.	PUNCT
ejpam-6919	100	1	let	let	VERB
ejpam-6919	100	2	ξ	ξ	X
ejpam-6919	100	3	be	be	AUX
ejpam-6919	100	4	a	a	DET
ejpam-6919	100	5	non	non	ADJ
ejpam-6919	100	6	-	-	ADJ
ejpam-6919	100	7	void	void	ADJ
ejpam-6919	100	8	set	set	NOUN
ejpam-6919	100	9	.	.	PUNCT
ejpam-6919	101	1	define	define	VERB
ejpam-6919	101	2	the	the	DET
ejpam-6919	101	3	operations	operation	NOUN
ejpam-6919	101	4	%	%	NOUN
ejpam-6919	101	5	1	1	NUM
ejpam-6919	101	6	∗	∗	NOUN
ejpam-6919	101	7	%	%	NOUN
ejpam-6919	101	8	2	2	NUM
ejpam-6919	101	9	=	=	SYM
ejpam-6919	101	10	min{%1	min{%1	NOUN
ejpam-6919	101	11	,	,	PUNCT
ejpam-6919	101	12	%	%	NOUN
ejpam-6919	101	13	2	2	NUM
ejpam-6919	101	14	}	}	PUNCT
ejpam-6919	101	15	,	,	PUNCT
ejpam-6919	101	16	%	%	INTJ
ejpam-6919	101	17	1	1	NUM
ejpam-6919	101	18	♦	♦	PROPN
ejpam-6919	101	19	%2	%2	PROPN
ejpam-6919	101	20	=	=	PUNCT
ejpam-6919	101	21	max{%1	max{%1	PROPN
ejpam-6919	101	22	,	,	PUNCT
ejpam-6919	101	23	%	%	NOUN
ejpam-6919	101	24	2	2	NUM
ejpam-6919	101	25	}	}	PUNCT
ejpam-6919	101	26	.	.	PUNCT
ejpam-6919	102	1	consider	consider	VERB
ejpam-6919	102	2	the	the	DET
ejpam-6919	102	3	neutrosophic	neutrosophic	ADJ
ejpam-6919	102	4	sets	set	NOUN
ejpam-6919	102	5	a(%	a(%	NOUN
ejpam-6919	102	6	,	,	PUNCT
ejpam-6919	102	7	δ	δ	PROPN
ejpam-6919	102	8	,	,	PUNCT
ejpam-6919	102	9	τ	τ	PROPN
ejpam-6919	102	10	)	)	PUNCT
ejpam-6919	102	11	=	=	PUNCT
ejpam-6919	102	12	τ	τ	X
ejpam-6919	102	13	τ+d(%,δ	τ+d(%,δ	NOUN
ejpam-6919	102	14	)	)	PUNCT
ejpam-6919	102	15	,	,	PUNCT
ejpam-6919	102	16	where	where	SCONJ
ejpam-6919	102	17	d	d	NOUN
ejpam-6919	102	18	is	be	AUX
ejpam-6919	102	19	a	a	DET
ejpam-6919	102	20	metric	metric	NOUN
ejpam-6919	102	21	on	on	ADP
ejpam-6919	102	22	ξ	ξ	PROPN
ejpam-6919	102	23	,	,	PUNCT
ejpam-6919	102	24	b(%	b(%	NOUN
ejpam-6919	102	25	,	,	PUNCT
ejpam-6919	102	26	δ	δ	PROPN
ejpam-6919	102	27	,	,	PUNCT
ejpam-6919	102	28	τ	τ	PROPN
ejpam-6919	102	29	)	)	PUNCT
ejpam-6919	102	30	=	=	SYM
ejpam-6919	102	31	d(%,δ	d(%,δ	NOUN
ejpam-6919	102	32	)	)	PUNCT
ejpam-6919	102	33	τ+d(%,δ	τ+d(%,δ	PROPN
ejpam-6919	102	34	)	)	PUNCT
ejpam-6919	102	35	and	and	CCONJ
ejpam-6919	102	36	c(%	c(%	NOUN
ejpam-6919	102	37	,	,	PUNCT
ejpam-6919	102	38	δ	δ	PROPN
ejpam-6919	102	39	,	,	PUNCT
ejpam-6919	102	40	τ	τ	PROPN
ejpam-6919	102	41	)	)	PUNCT
ejpam-6919	103	1	=	=	SYM
ejpam-6919	103	2	d(%,δ	d(%,δ	PROPN
ejpam-6919	103	3	)	)	PUNCT
ejpam-6919	103	4	τ+2d(%,δ	τ+2d(%,δ	NOUN
ejpam-6919	103	5	)	)	PUNCT
ejpam-6919	103	6	.	.	PUNCT
ejpam-6919	104	1	then	then	ADV
ejpam-6919	104	2	,	,	PUNCT
ejpam-6919	104	3	(	(	PUNCT
ejpam-6919	104	4	ξ	ξ	X
ejpam-6919	104	5	,	,	PUNCT
ejpam-6919	104	6	a	a	DET
ejpam-6919	104	7	,	,	PUNCT
ejpam-6919	104	8	b	b	NOUN
ejpam-6919	104	9	,	,	PUNCT
ejpam-6919	104	10	c	c	NOUN
ejpam-6919	104	11	,	,	PUNCT
ejpam-6919	104	12	∗	∗	NOUN
ejpam-6919	104	13	,	,	PUNCT
ejpam-6919	104	14	♦	♦	PROPN
ejpam-6919	104	15	)	)	PUNCT
ejpam-6919	104	16	is	be	AUX
ejpam-6919	104	17	a	a	DET
ejpam-6919	104	18	neutrosophic	neutrosophic	ADJ
ejpam-6919	104	19	metric	metric	ADJ
ejpam-6919	104	20	space	space	NOUN
ejpam-6919	104	21	.	.	PUNCT
ejpam-6919	105	1	remark	remark	PROPN
ejpam-6919	105	2	1	1	NUM
ejpam-6919	105	3	.	.	PUNCT
ejpam-6919	106	1	[	[	X
ejpam-6919	106	2	12	12	NUM
ejpam-6919	106	3	]	]	PUNCT
ejpam-6919	106	4	the	the	DET
ejpam-6919	106	5	class	class	NOUN
ejpam-6919	106	6	f	f	PROPN
ejpam-6919	106	7	originates	originate	NOUN
ejpam-6919	106	8	from	from	ADP
ejpam-6919	106	9	wardowski	wardowski	PROPN
ejpam-6919	106	10	’s	’s	PART
ejpam-6919	106	11	notion	notion	NOUN
ejpam-6919	106	12	of	of	ADP
ejpam-6919	106	13	f	f	PROPN
ejpam-6919	106	14	-contractions	-contraction	NOUN
ejpam-6919	106	15	[	[	X
ejpam-6919	106	16	9	9	NUM
ejpam-6919	106	17	]	]	PUNCT
ejpam-6919	106	18	,	,	PUNCT
ejpam-6919	106	19	and	and	CCONJ
ejpam-6919	106	20	was	be	AUX
ejpam-6919	106	21	further	far	ADV
ejpam-6919	106	22	adapted	adapt	VERB
ejpam-6919	106	23	to	to	ADP
ejpam-6919	106	24	fuzzy	fuzzy	ADJ
ejpam-6919	106	25	metric	metric	ADJ
ejpam-6919	106	26	frameworks	framework	NOUN
ejpam-6919	106	27	by	by	ADP
ejpam-6919	106	28	das	das	PROPN
ejpam-6919	106	29	et.al[12	et.al[12	PROPN
ejpam-6919	106	30	]	]	PUNCT
ejpam-6919	106	31	.	.	PUNCT
ejpam-6919	107	1	here	here	ADV
ejpam-6919	107	2	,	,	PUNCT
ejpam-6919	107	3	f	f	PROPN
ejpam-6919	107	4	acts	act	VERB
ejpam-6919	107	5	as	as	ADP
ejpam-6919	107	6	a	a	DET
ejpam-6919	107	7	control	control	NOUN
ejpam-6919	107	8	function	function	NOUN
ejpam-6919	107	9	,	,	PUNCT
ejpam-6919	107	10	while	while	SCONJ
ejpam-6919	107	11	λ	λ	PROPN
ejpam-6919	107	12	∈	∈	PROPN
ejpam-6919	107	13	(	(	PUNCT
ejpam-6919	107	14	0	0	NUM
ejpam-6919	107	15	,	,	PUNCT
ejpam-6919	107	16	1	1	NUM
ejpam-6919	107	17	]	]	PUNCT
ejpam-6919	107	18	provides	provide	VERB
ejpam-6919	107	19	a	a	DET
ejpam-6919	107	20	scaling	scale	VERB
ejpam-6919	107	21	parameter	parameter	NOUN
ejpam-6919	107	22	that	that	PRON
ejpam-6919	107	23	determines	determine	VERB
ejpam-6919	107	24	the	the	DET
ejpam-6919	107	25	contraction	contraction	NOUN
ejpam-6919	107	26	strength	strength	NOUN
ejpam-6919	107	27	.	.	PUNCT
ejpam-6919	108	1	formally	formally	ADV
ejpam-6919	108	2	,	,	PUNCT
ejpam-6919	108	3	we	we	PRON
ejpam-6919	108	4	consider	consider	VERB
ejpam-6919	108	5	f	f	NOUN
ejpam-6919	108	6	=	=	PRON
ejpam-6919	108	7	{	{	PUNCT
ejpam-6919	108	8	f	f	X
ejpam-6919	108	9	:	:	PUNCT
ejpam-6919	109	1	[	[	X
ejpam-6919	109	2	0	0	NUM
ejpam-6919	109	3	,	,	PUNCT
ejpam-6919	109	4	1	1	NUM
ejpam-6919	109	5	]	]	PUNCT
ejpam-6919	109	6	→	→	PUNCT
ejpam-6919	109	7	[	[	X
ejpam-6919	109	8	0	0	NUM
ejpam-6919	109	9	,	,	PUNCT
ejpam-6919	109	10	1	1	NUM
ejpam-6919	109	11	]	]	PUNCT
ejpam-6919	109	12	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-6919	109	13	(	(	PUNCT
ejpam-6919	109	14	i	i	NOUN
ejpam-6919	109	15	)	)	PUNCT
ejpam-6919	109	16	f	f	PROPN
ejpam-6919	109	17	is	be	AUX
ejpam-6919	109	18	strictly	strictly	ADV
ejpam-6919	109	19	increasing	increase	VERB
ejpam-6919	109	20	on	on	ADP
ejpam-6919	109	21	[	[	X
ejpam-6919	109	22	0	0	NUM
ejpam-6919	109	23	,	,	PUNCT
ejpam-6919	109	24	1	1	NUM
ejpam-6919	109	25	)	)	PUNCT
ejpam-6919	109	26	,	,	PUNCT
ejpam-6919	109	27	(	(	PUNCT
ejpam-6919	109	28	ii	ii	NOUN
ejpam-6919	109	29	)	)	PUNCT
ejpam-6919	109	30	∀	∀	X
ejpam-6919	109	31	{	{	PUNCT
ejpam-6919	109	32	τn	τn	NOUN
ejpam-6919	109	33	}	}	PUNCT
ejpam-6919	109	34	⊂	⊂	PROPN
ejpam-6919	110	1	[	[	X
ejpam-6919	110	2	0	0	NUM
ejpam-6919	110	3	,	,	PUNCT
ejpam-6919	110	4	1	1	NUM
ejpam-6919	110	5	]	]	PUNCT
ejpam-6919	110	6	,	,	PUNCT
ejpam-6919	110	7	τn	τn	ADP
ejpam-6919	110	8	→	→	SYM
ejpam-6919	110	9	1	1	NUM
ejpam-6919	110	10	⇔	⇔	PROPN
ejpam-6919	110	11	f(τn	f(τn	PROPN
ejpam-6919	110	12	)	)	PUNCT
ejpam-6919	110	13	→	→	SYM
ejpam-6919	110	14	1	1	NUM
ejpam-6919	110	15	}	}	PUNCT
ejpam-6919	110	16	.	.	PUNCT
ejpam-6919	111	1	example	example	NOUN
ejpam-6919	112	1	4	4	NUM
ejpam-6919	112	2	.	.	PUNCT
ejpam-6919	113	1	[	[	X
ejpam-6919	113	2	12	12	NUM
ejpam-6919	113	3	]	]	PUNCT
ejpam-6919	113	4	below	below	ADP
ejpam-6919	113	5	are	be	AUX
ejpam-6919	113	6	examples	example	NOUN
ejpam-6919	113	7	of	of	ADP
ejpam-6919	113	8	functions	function	NOUN
ejpam-6919	113	9	that	that	PRON
ejpam-6919	113	10	are	be	AUX
ejpam-6919	113	11	members	member	NOUN
ejpam-6919	113	12	of	of	ADP
ejpam-6919	113	13	f	f	NOUN
ejpam-6919	113	14	:	:	PUNCT
ejpam-6919	113	15	(	(	PUNCT
ejpam-6919	113	16	i	i	NOUN
ejpam-6919	113	17	)	)	PUNCT
ejpam-6919	113	18	f(%	f(%	PROPN
ejpam-6919	113	19	)	)	PUNCT
ejpam-6919	114	1	=	=	SYM
ejpam-6919	115	1	%	%	INTJ
ejpam-6919	115	2	i	i	NOUN
ejpam-6919	115	3	,	,	PUNCT
ejpam-6919	115	4	∀	∀	X
ejpam-6919	115	5	%	%	NOUN
ejpam-6919	116	1	∈	∈	PROPN
ejpam-6919	117	1	[	[	X
ejpam-6919	117	2	0	0	NUM
ejpam-6919	117	3	,	,	PUNCT
ejpam-6919	117	4	1	1	NUM
ejpam-6919	117	5	]	]	PUNCT
ejpam-6919	117	6	,	,	PUNCT
ejpam-6919	117	7	i	i	PRON
ejpam-6919	117	8	∈	∈	PROPN
ejpam-6919	117	9	n.	n.	NOUN
ejpam-6919	117	10	(	(	PUNCT
ejpam-6919	117	11	ii	ii	NOUN
ejpam-6919	117	12	)	)	PUNCT
ejpam-6919	117	13	f(%	f(%	PROPN
ejpam-6919	117	14	)	)	PUNCT
ejpam-6919	117	15	=	=	SYM
ejpam-6919	118	1	√	√	NUM
ejpam-6919	118	2	%	%	NOUN
ejpam-6919	118	3	,	,	PUNCT
ejpam-6919	118	4	∀	∀	X
ejpam-6919	118	5	0	0	NUM
ejpam-6919	118	6	≤	≤	NUM
ejpam-6919	118	7	%	%	NOUN
ejpam-6919	118	8	≤	≤	ADJ
ejpam-6919	118	9	1	1	NUM
ejpam-6919	118	10	.	.	PUNCT
ejpam-6919	119	1	definition	definition	NOUN
ejpam-6919	119	2	5	5	NUM
ejpam-6919	119	3	.	.	PUNCT
ejpam-6919	120	1	let	let	VERB
ejpam-6919	120	2	ξ	ξ	X
ejpam-6919	120	3	be	be	AUX
ejpam-6919	120	4	a	a	DET
ejpam-6919	120	5	non	non	X
ejpam-6919	120	6	empty	empty	ADJ
ejpam-6919	120	7	set	set	NOUN
ejpam-6919	120	8	and	and	CCONJ
ejpam-6919	120	9	a	a	DET
ejpam-6919	120	10	,	,	PUNCT
ejpam-6919	120	11	b	b	NOUN
ejpam-6919	120	12	,	,	PUNCT
ejpam-6919	120	13	c	c	NOUN
ejpam-6919	120	14	:	:	PUNCT
ejpam-6919	120	15	ξ	ξ	X
ejpam-6919	120	16	×	×	PROPN
ejpam-6919	120	17	ξ	ξ	X
ejpam-6919	120	18	×	×	NOUN
ejpam-6919	120	19	(	(	PUNCT
ejpam-6919	120	20	0,∞	0,∞	NOUN
ejpam-6919	120	21	)	)	PUNCT
ejpam-6919	120	22	→	→	PUNCT
ejpam-6919	121	1	[	[	X
ejpam-6919	121	2	0	0	NUM
ejpam-6919	121	3	,	,	PUNCT
ejpam-6919	121	4	1	1	NUM
ejpam-6919	121	5	]	]	PUNCT
ejpam-6919	121	6	be	be	AUX
ejpam-6919	121	7	a	a	DET
ejpam-6919	121	8	neutrosophic	neutrosophic	ADJ
ejpam-6919	121	9	sets	set	NOUN
ejpam-6919	121	10	on	on	ADP
ejpam-6919	121	11	ξ	ξ	PROPN
ejpam-6919	121	12	and	and	CCONJ
ejpam-6919	121	13	?	?	PUNCT
ejpam-6919	122	1	is	be	AUX
ejpam-6919	122	2	a	a	DET
ejpam-6919	122	3	ct	ct	PROPN
ejpam-6919	122	4	n	n	NOUN
ejpam-6919	122	5	,	,	PUNCT
ejpam-6919	122	6	♦	♦	PROPN
ejpam-6919	122	7	is	be	AUX
ejpam-6919	122	8	a	a	DET
ejpam-6919	122	9	ct	ct	NOUN
ejpam-6919	122	10	cn	cn	PROPN
ejpam-6919	122	11	.	.	PUNCT
ejpam-6919	123	1	suppose	suppose	VERB
ejpam-6919	123	2	there	there	PRON
ejpam-6919	123	3	exists	exist	VERB
ejpam-6919	123	4	(	(	PUNCT
ejpam-6919	123	5	f	f	X
ejpam-6919	123	6	,	,	PUNCT
ejpam-6919	123	7	λ	λ	NOUN
ejpam-6919	123	8	)	)	PUNCT
ejpam-6919	123	9	∈	∈	NOUN
ejpam-6919	123	10	f×	f×	NOUN
ejpam-6919	123	11	(	(	PUNCT
ejpam-6919	123	12	0	0	NUM
ejpam-6919	123	13	,	,	PUNCT
ejpam-6919	123	14	1	1	NUM
ejpam-6919	123	15	]	]	PUNCT
ejpam-6919	123	16	such	such	ADJ
ejpam-6919	123	17	that	that	SCONJ
ejpam-6919	123	18	a	a	DET
ejpam-6919	123	19	,	,	PUNCT
ejpam-6919	123	20	b	b	NOUN
ejpam-6919	123	21	and	and	CCONJ
ejpam-6919	123	22	c	c	AUX
ejpam-6919	123	23	fulfill	fulfill	VERB
ejpam-6919	123	24	the	the	DET
ejpam-6919	123	25	following	follow	VERB
ejpam-6919	123	26	conditions	condition	NOUN
ejpam-6919	123	27	:	:	PUNCT
ejpam-6919	123	28	(	(	PUNCT
ejpam-6919	123	29	n1	n1	NOUN
ejpam-6919	123	30	)	)	PUNCT
ejpam-6919	123	31	0	0	NUM
ejpam-6919	124	1	≤	≤	NUM
ejpam-6919	124	2	a(%	a(%	NOUN
ejpam-6919	124	3	,	,	PUNCT
ejpam-6919	124	4	δ	δ	PROPN
ejpam-6919	124	5	,	,	PUNCT
ejpam-6919	124	6	τ	τ	PROPN
ejpam-6919	124	7	)	)	PUNCT
ejpam-6919	124	8	≤	≤	NUM
ejpam-6919	124	9	1	1	NUM
ejpam-6919	124	10	;	;	PUNCT
ejpam-6919	124	11	0	0	NUM
ejpam-6919	124	12	≤	≤	NOUN
ejpam-6919	124	13	b(%	b(%	NOUN
ejpam-6919	124	14	,	,	PUNCT
ejpam-6919	124	15	δ	δ	PROPN
ejpam-6919	124	16	,	,	PUNCT
ejpam-6919	124	17	τ	τ	PROPN
ejpam-6919	124	18	)	)	PUNCT
ejpam-6919	124	19	≤	≤	NUM
ejpam-6919	124	20	1	1	NUM
ejpam-6919	124	21	;	;	PUNCT
ejpam-6919	124	22	0	0	NUM
ejpam-6919	124	23	≤	≤	NUM
ejpam-6919	124	24	c(%	c(%	NOUN
ejpam-6919	124	25	,	,	PUNCT
ejpam-6919	124	26	δ	δ	PROPN
ejpam-6919	124	27	,	,	PUNCT
ejpam-6919	124	28	τ	τ	PROPN
ejpam-6919	124	29	)	)	PUNCT
ejpam-6919	124	30	≤	≤	NOUN
ejpam-6919	124	31	1	1	NUM
ejpam-6919	124	32	;	;	PUNCT
ejpam-6919	124	33	(	(	PUNCT
ejpam-6919	124	34	n2	n2	ADJ
ejpam-6919	124	35	)	)	PUNCT
ejpam-6919	124	36	a(%	a(%	NOUN
ejpam-6919	124	37	,	,	PUNCT
ejpam-6919	124	38	δ	δ	PROPN
ejpam-6919	124	39	,	,	PUNCT
ejpam-6919	124	40	τ	τ	PROPN
ejpam-6919	124	41	)	)	PUNCT
ejpam-6919	124	42	+	+	SYM
ejpam-6919	124	43	b(%	b(%	NOUN
ejpam-6919	124	44	,	,	PUNCT
ejpam-6919	124	45	δ	δ	PROPN
ejpam-6919	124	46	,	,	PUNCT
ejpam-6919	124	47	τ	τ	PROPN
ejpam-6919	124	48	)	)	PUNCT
ejpam-6919	124	49	+	+	NUM
ejpam-6919	124	50	c(%	c(%	NOUN
ejpam-6919	124	51	,	,	PUNCT
ejpam-6919	124	52	δ	δ	PROPN
ejpam-6919	124	53	,	,	PUNCT
ejpam-6919	124	54	τ	τ	PROPN
ejpam-6919	124	55	)	)	PUNCT
ejpam-6919	124	56	≤	≤	NOUN
ejpam-6919	124	57	3	3	NUM
ejpam-6919	124	58	(	(	PUNCT
ejpam-6919	124	59	n3	n3	ADJ
ejpam-6919	124	60	)	)	PUNCT
ejpam-6919	124	61	a(%	a(%	NOUN
ejpam-6919	124	62	,	,	PUNCT
ejpam-6919	124	63	δ	δ	PROPN
ejpam-6919	124	64	,	,	PUNCT
ejpam-6919	124	65	τ	τ	PROPN
ejpam-6919	124	66	)	)	PUNCT
ejpam-6919	124	67	=	=	SYM
ejpam-6919	124	68	1	1	NUM
ejpam-6919	124	69	,	,	PUNCT
ejpam-6919	124	70	∀	∀	X
ejpam-6919	124	71	τ	τ	X
ejpam-6919	124	72	>	>	X
ejpam-6919	124	73	0	0	PUNCT
ejpam-6919	125	1	iff	iff	NOUN
ejpam-6919	125	2	%	%	NOUN
ejpam-6919	125	3	=	=	SYM
ejpam-6919	125	4	δ	δ	PROPN
ejpam-6919	125	5	;	;	PUNCT
ejpam-6919	125	6	(	(	PUNCT
ejpam-6919	125	7	n4	n4	PROPN
ejpam-6919	125	8	)	)	PUNCT
ejpam-6919	125	9	a(%	a(%	NOUN
ejpam-6919	125	10	,	,	PUNCT
ejpam-6919	125	11	δ	δ	PROPN
ejpam-6919	125	12	,	,	PUNCT
ejpam-6919	125	13	τ	τ	PROPN
ejpam-6919	125	14	)	)	PUNCT
ejpam-6919	125	15	=	=	SYM
ejpam-6919	126	1	a(δ	a(δ	ADJ
ejpam-6919	126	2	,	,	PUNCT
ejpam-6919	126	3	%	%	INTJ
ejpam-6919	126	4	,	,	PUNCT
ejpam-6919	126	5	τ	τ	PROPN
ejpam-6919	126	6	)	)	PUNCT
ejpam-6919	126	7	,	,	PUNCT
ejpam-6919	126	8	∀	∀	NUM
ejpam-6919	126	9	%	%	NOUN
ejpam-6919	126	10	,	,	PUNCT
ejpam-6919	126	11	δ	δ	PROPN
ejpam-6919	126	12	∈	∈	PROPN
ejpam-6919	126	13	ξ	ξ	PROPN
ejpam-6919	126	14	,	,	PUNCT
ejpam-6919	126	15	τ	τ	PROPN
ejpam-6919	126	16	>	>	X
ejpam-6919	126	17	0	0	NUM
ejpam-6919	126	18	;	;	PUNCT
ejpam-6919	126	19	(	(	PUNCT
ejpam-6919	126	20	n5	n5	PROPN
ejpam-6919	126	21	)	)	PUNCT
ejpam-6919	126	22	for	for	ADP
ejpam-6919	126	23	every	every	DET
ejpam-6919	126	24	(	(	PUNCT
ejpam-6919	126	25	%	%	INTJ
ejpam-6919	126	26	,	,	PUNCT
ejpam-6919	126	27	δ	δ	PROPN
ejpam-6919	126	28	)	)	PUNCT
ejpam-6919	126	29	∈	∈	PROPN
ejpam-6919	126	30	ξ	ξ	X
ejpam-6919	126	31	×	×	PROPN
ejpam-6919	126	32	ξ	ξ	PROPN
ejpam-6919	126	33	,	,	PUNCT
ejpam-6919	126	34	for	for	ADP
ejpam-6919	126	35	all	all	DET
ejpam-6919	126	36	k	k	PROPN
ejpam-6919	126	37	∈	∈	PROPN
ejpam-6919	126	38	n	n	CCONJ
ejpam-6919	126	39	,	,	PUNCT
ejpam-6919	126	40	k	k	PROPN
ejpam-6919	126	41	≥	≥	NUM
ejpam-6919	126	42	2	2	NUM
ejpam-6919	126	43	and	and	CCONJ
ejpam-6919	126	44	for	for	ADP
ejpam-6919	126	45	all	all	PRON
ejpam-6919	126	46	{	{	PUNCT
ejpam-6919	126	47	ϑi}ki	ϑi}ki	PROPN
ejpam-6919	126	48	⊆	⊆	NUM
ejpam-6919	126	49	ξ	ξ	PROPN
ejpam-6919	126	50	with	with	ADP
ejpam-6919	126	51	ϑ1	ϑ1	NOUN
ejpam-6919	126	52	=	=	SYM
ejpam-6919	126	53	%	%	NOUN
ejpam-6919	126	54	and	and	CCONJ
ejpam-6919	126	55	ϑn	ϑn	NOUN
ejpam-6919	126	56	=	=	SYM
ejpam-6919	126	57	δ	δ	PROPN
ejpam-6919	126	58	,	,	PUNCT
ejpam-6919	126	59	we	we	PRON
ejpam-6919	126	60	have	have	VERB
ejpam-6919	126	61	(	(	PUNCT
ejpam-6919	126	62	f(a(%	f(a(%	PROPN
ejpam-6919	126	63	,	,	PUNCT
ejpam-6919	126	64	δ	δ	PROPN
ejpam-6919	126	65	,	,	PUNCT
ejpam-6919	126	66	τ)))λ	τ)))λ	PROPN
ejpam-6919	126	67	≥	≥	PROPN
ejpam-6919	126	68	f	f	PROPN
ejpam-6919	126	69	(	(	PUNCT
ejpam-6919	126	70	a	a	DET
ejpam-6919	126	71	(	(	PUNCT
ejpam-6919	126	72	ϑ1	ϑ1	NOUN
ejpam-6919	126	73	,	,	PUNCT
ejpam-6919	126	74	ϑ2	ϑ2	PROPN
ejpam-6919	126	75	,	,	PUNCT
ejpam-6919	126	76	τ1	τ1	NOUN
ejpam-6919	126	77	)	)	PUNCT
ejpam-6919	126	78	?	?	PUNCT
ejpam-6919	127	1	a	a	DET
ejpam-6919	127	2	(	(	PUNCT
ejpam-6919	127	3	ϑ2	ϑ2	PROPN
ejpam-6919	127	4	,	,	PUNCT
ejpam-6919	127	5	ϑ3	ϑ3	NOUN
ejpam-6919	127	6	,	,	PUNCT
ejpam-6919	127	7	τ2	τ2	NOUN
ejpam-6919	127	8	)	)	PUNCT
ejpam-6919	127	9	?	?	PUNCT
ejpam-6919	127	10	·	·	PUNCT
ejpam-6919	127	11	·	·	PUNCT
ejpam-6919	127	12	·	·	PUNCT
ejpam-6919	127	13	?	?	PUNCT
ejpam-6919	128	1	a	a	PRON
ejpam-6919	128	2	(	(	PUNCT
ejpam-6919	128	3	ϑn−1	ϑn−1	ADJ
ejpam-6919	128	4	,	,	PUNCT
ejpam-6919	128	5	ϑn	ϑn	NOUN
ejpam-6919	128	6	,	,	PUNCT
ejpam-6919	128	7	τk−1	τk−1	NOUN
ejpam-6919	128	8	)	)	PUNCT
ejpam-6919	128	9	)	)	PUNCT
ejpam-6919	128	10	;	;	PUNCT
ejpam-6919	128	11	(	(	PUNCT
ejpam-6919	128	12	n6	n6	NOUN
ejpam-6919	128	13	)	)	PUNCT
ejpam-6919	128	14	a(%	a(%	NOUN
ejpam-6919	128	15	,	,	PUNCT
ejpam-6919	128	16	δ	δ	PROPN
ejpam-6919	128	17	,	,	PUNCT
ejpam-6919	128	18	.	.	PUNCT
ejpam-6919	128	19	)	)	PUNCT
ejpam-6919	128	20	is	be	AUX
ejpam-6919	128	21	neutrosophic	neutrosophic	ADJ
ejpam-6919	128	22	continuous	continuous	ADJ
ejpam-6919	128	23	from	from	ADP
ejpam-6919	128	24	[	[	X
ejpam-6919	128	25	0,∞	0,∞	NOUN
ejpam-6919	128	26	)	)	PUNCT
ejpam-6919	128	27	→	→	PUNCT
ejpam-6919	129	1	[	[	X
ejpam-6919	129	2	0	0	NUM
ejpam-6919	129	3	,	,	PUNCT
ejpam-6919	129	4	1	1	NUM
ejpam-6919	129	5	]	]	PUNCT
ejpam-6919	129	6	;	;	PUNCT
ejpam-6919	129	7	(	(	PUNCT
ejpam-6919	129	8	n7	n7	PROPN
ejpam-6919	129	9	)	)	PUNCT
ejpam-6919	129	10	lim	lim	PROPN
ejpam-6919	129	11	τ→∞	τ→∞	NUM
ejpam-6919	129	12	a(%	a(%	PROPN
ejpam-6919	129	13	,	,	PUNCT
ejpam-6919	129	14	δ	δ	PROPN
ejpam-6919	129	15	,	,	PUNCT
ejpam-6919	129	16	τ	τ	PROPN
ejpam-6919	129	17	)	)	PUNCT
ejpam-6919	129	18	=	=	SYM
ejpam-6919	129	19	1	1	NUM
ejpam-6919	129	20	;	;	PUNCT
ejpam-6919	129	21	(	(	PUNCT
ejpam-6919	129	22	n8	n8	PROPN
ejpam-6919	129	23	)	)	PUNCT
ejpam-6919	129	24	b(%	b(%	NOUN
ejpam-6919	129	25	,	,	PUNCT
ejpam-6919	129	26	δ	δ	PROPN
ejpam-6919	129	27	,	,	PUNCT
ejpam-6919	129	28	τ	τ	PROPN
ejpam-6919	129	29	)	)	PUNCT
ejpam-6919	129	30	=	=	SYM
ejpam-6919	129	31	0	0	NUM
ejpam-6919	129	32	,	,	PUNCT
ejpam-6919	129	33	∀	∀	X
ejpam-6919	129	34	τ	τ	X
ejpam-6919	129	35	>	>	X
ejpam-6919	129	36	0	0	PUNCT
ejpam-6919	130	1	iff	iff	NOUN
ejpam-6919	130	2	%	%	NOUN
ejpam-6919	130	3	=	=	SYM
ejpam-6919	130	4	δ	δ	PROPN
ejpam-6919	130	5	;	;	PUNCT
ejpam-6919	130	6	(	(	PUNCT
ejpam-6919	130	7	n9	n9	PROPN
ejpam-6919	130	8	)	)	PUNCT
ejpam-6919	130	9	b(%	b(%	NOUN
ejpam-6919	130	10	,	,	PUNCT
ejpam-6919	130	11	δ	δ	PROPN
ejpam-6919	130	12	,	,	PUNCT
ejpam-6919	130	13	τ	τ	PROPN
ejpam-6919	130	14	)	)	PUNCT
ejpam-6919	130	15	=	=	SYM
ejpam-6919	130	16	b(δ	b(δ	NOUN
ejpam-6919	130	17	,	,	PUNCT
ejpam-6919	130	18	%	%	INTJ
ejpam-6919	130	19	,	,	PUNCT
ejpam-6919	130	20	τ	τ	PROPN
ejpam-6919	130	21	)	)	PUNCT
ejpam-6919	130	22	,	,	PUNCT
ejpam-6919	130	23	∀	∀	X
ejpam-6919	130	24	δ	δ	NOUN
ejpam-6919	130	25	,	,	PUNCT
ejpam-6919	130	26	%	%	NOUN
ejpam-6919	130	27	∈	∈	PROPN
ejpam-6919	130	28	ξ	ξ	PROPN
ejpam-6919	130	29	,	,	PUNCT
ejpam-6919	130	30	τ	τ	PROPN
ejpam-6919	130	31	>	>	X
ejpam-6919	130	32	0	0	NUM
ejpam-6919	130	33	;	;	PUNCT
ejpam-6919	130	34	(	(	PUNCT
ejpam-6919	130	35	n10	n10	X
ejpam-6919	130	36	)	)	PUNCT
ejpam-6919	130	37	for	for	ADP
ejpam-6919	130	38	every	every	DET
ejpam-6919	130	39	(	(	PUNCT
ejpam-6919	130	40	%	%	INTJ
ejpam-6919	130	41	,	,	PUNCT
ejpam-6919	130	42	δ	δ	PROPN
ejpam-6919	130	43	)	)	PUNCT
ejpam-6919	130	44	∈	∈	PROPN
ejpam-6919	130	45	ξ×	ξ×	PROPN
ejpam-6919	130	46	ξ	ξ	PROPN
ejpam-6919	130	47	,	,	PUNCT
ejpam-6919	130	48	for	for	ADP
ejpam-6919	130	49	all	all	DET
ejpam-6919	130	50	k	k	PROPN
ejpam-6919	130	51	∈	∈	PROPN
ejpam-6919	130	52	n	n	CCONJ
ejpam-6919	130	53	,	,	PUNCT
ejpam-6919	130	54	k	k	PROPN
ejpam-6919	130	55	≥	≥	NUM
ejpam-6919	130	56	2	2	NUM
ejpam-6919	130	57	and	and	CCONJ
ejpam-6919	130	58	for	for	ADP
ejpam-6919	130	59	every	every	DET
ejpam-6919	130	60	{	{	PUNCT
ejpam-6919	130	61	ϑi}ki	ϑi}ki	PROPN
ejpam-6919	130	62	⊆	⊆	NUM
ejpam-6919	130	63	ξ	ξ	PROPN
ejpam-6919	130	64	with	with	ADP
ejpam-6919	130	65	ϑ1	ϑ1	NOUN
ejpam-6919	130	66	=	=	SYM
ejpam-6919	130	67	%	%	NOUN
ejpam-6919	130	68	and	and	CCONJ
ejpam-6919	130	69	ϑn	ϑn	NOUN
ejpam-6919	130	70	=	=	SYM
ejpam-6919	130	71	δ	δ	PROPN
ejpam-6919	130	72	,	,	PUNCT
ejpam-6919	130	73	we	we	PRON
ejpam-6919	130	74	have	have	VERB
ejpam-6919	130	75	(	(	PUNCT
ejpam-6919	130	76	f(1−	f(1−	PROPN
ejpam-6919	130	77	b(%	b(%	NOUN
ejpam-6919	130	78	,	,	PUNCT
ejpam-6919	130	79	δ	δ	PROPN
ejpam-6919	130	80	,	,	PUNCT
ejpam-6919	130	81	τ)))λ	τ)))λ	PROPN
ejpam-6919	130	82	≥	≥	PROPN
ejpam-6919	130	83	f	f	PROPN
ejpam-6919	130	84	(	(	PUNCT
ejpam-6919	130	85	1−	1−	NUM
ejpam-6919	130	86	{	{	PUNCT
ejpam-6919	130	87	b	b	PROPN
ejpam-6919	130	88	(	(	PUNCT
ejpam-6919	130	89	ϑ1	ϑ1	NOUN
ejpam-6919	130	90	,	,	PUNCT
ejpam-6919	130	91	ϑ2	ϑ2	PROPN
ejpam-6919	130	92	,	,	PUNCT
ejpam-6919	130	93	τ1)	τ1)	PROPN
ejpam-6919	130	94	♦	♦	PROPN
ejpam-6919	130	95	b	b	PROPN
ejpam-6919	130	96	(	(	PUNCT
ejpam-6919	130	97	ϑ2	ϑ2	PROPN
ejpam-6919	130	98	,	,	PUNCT
ejpam-6919	130	99	ϑ3	ϑ3	NOUN
ejpam-6919	130	100	,	,	PUNCT
ejpam-6919	130	101	τ2	τ2	PROPN
ejpam-6919	130	102	)	)	PUNCT
ejpam-6919	130	103	♦	♦	PROPN
ejpam-6919	130	104	·	·	PUNCT
ejpam-6919	130	105	·	·	PUNCT
ejpam-6919	130	106	·	·	PUNCT
ejpam-6919	130	107	♦	♦	PROPN
ejpam-6919	130	108	b	b	PROPN
ejpam-6919	130	109	(	(	PUNCT
ejpam-6919	130	110	ϑn−1	ϑn−1	PROPN
ejpam-6919	130	111	,	,	PUNCT
ejpam-6919	130	112	ϑn	ϑn	NOUN
ejpam-6919	130	113	,	,	PUNCT
ejpam-6919	130	114	τk−1	τk−1	NOUN
ejpam-6919	130	115	)	)	PUNCT
ejpam-6919	130	116	}	}	PUNCT
ejpam-6919	130	117	)	)	PUNCT
ejpam-6919	130	118	;	;	PUNCT
ejpam-6919	130	119	(	(	PUNCT
ejpam-6919	130	120	n11	n11	ADJ
ejpam-6919	130	121	)	)	PUNCT
ejpam-6919	130	122	b(%	b(%	NOUN
ejpam-6919	130	123	,	,	PUNCT
ejpam-6919	130	124	δ	δ	PROPN
ejpam-6919	130	125	,	,	PUNCT
ejpam-6919	130	126	.	.	PUNCT
ejpam-6919	130	127	)	)	PUNCT
ejpam-6919	130	128	is	be	AUX
ejpam-6919	130	129	neutrosophic	neutrosophic	ADJ
ejpam-6919	130	130	continuous	continuous	ADJ
ejpam-6919	130	131	from	from	ADP
ejpam-6919	130	132	[	[	X
ejpam-6919	130	133	0,∞	0,∞	NOUN
ejpam-6919	130	134	)	)	PUNCT
ejpam-6919	130	135	→	→	PUNCT
ejpam-6919	131	1	[	[	X
ejpam-6919	131	2	0	0	NUM
ejpam-6919	131	3	,	,	PUNCT
ejpam-6919	131	4	1	1	NUM
ejpam-6919	131	5	]	]	PUNCT
ejpam-6919	131	6	;	;	PUNCT
ejpam-6919	131	7	(	(	PUNCT
ejpam-6919	131	8	n12	n12	PROPN
ejpam-6919	131	9	)	)	PUNCT
ejpam-6919	131	10	lim	lim	PROPN
ejpam-6919	131	11	τ→∞	τ→∞	NUM
ejpam-6919	131	12	b(%	b(%	PROPN
ejpam-6919	131	13	,	,	PUNCT
ejpam-6919	131	14	δ	δ	PROPN
ejpam-6919	131	15	,	,	PUNCT
ejpam-6919	131	16	τ	τ	PROPN
ejpam-6919	131	17	)	)	PUNCT
ejpam-6919	131	18	=	=	SYM
ejpam-6919	131	19	0	0	NUM
ejpam-6919	131	20	;	;	PUNCT
ejpam-6919	131	21	(	(	PUNCT
ejpam-6919	131	22	n13	n13	NOUN
ejpam-6919	131	23	)	)	PUNCT
ejpam-6919	131	24	c(%	c(%	NOUN
ejpam-6919	131	25	,	,	PUNCT
ejpam-6919	131	26	δ	δ	PROPN
ejpam-6919	131	27	,	,	PUNCT
ejpam-6919	131	28	τ	τ	PROPN
ejpam-6919	131	29	)	)	PUNCT
ejpam-6919	131	30	=	=	SYM
ejpam-6919	131	31	0	0	NUM
ejpam-6919	131	32	,	,	PUNCT
ejpam-6919	131	33	∀	∀	X
ejpam-6919	131	34	τ	τ	X
ejpam-6919	131	35	>	>	X
ejpam-6919	131	36	0	0	PUNCT
ejpam-6919	132	1	iff	iff	NOUN
ejpam-6919	132	2	%	%	NOUN
ejpam-6919	132	3	=	=	SYM
ejpam-6919	132	4	δ	δ	PROPN
ejpam-6919	132	5	;	;	PUNCT
ejpam-6919	132	6	(	(	PUNCT
ejpam-6919	132	7	n14	n14	NOUN
ejpam-6919	132	8	)	)	PUNCT
ejpam-6919	132	9	c(%	c(%	NOUN
ejpam-6919	132	10	,	,	PUNCT
ejpam-6919	132	11	δ	δ	PROPN
ejpam-6919	132	12	,	,	PUNCT
ejpam-6919	132	13	τ	τ	PROPN
ejpam-6919	132	14	)	)	PUNCT
ejpam-6919	132	15	=	=	SYM
ejpam-6919	132	16	c(δ	c(δ	PROPN
ejpam-6919	132	17	,	,	PUNCT
ejpam-6919	132	18	%	%	INTJ
ejpam-6919	132	19	,	,	PUNCT
ejpam-6919	132	20	τ	τ	PROPN
ejpam-6919	132	21	)	)	PUNCT
ejpam-6919	132	22	,	,	PUNCT
ejpam-6919	132	23	∀	∀	NUM
ejpam-6919	132	24	%	%	NOUN
ejpam-6919	132	25	,	,	PUNCT
ejpam-6919	132	26	δ	δ	PROPN
ejpam-6919	132	27	∈	∈	PROPN
ejpam-6919	132	28	ξ	ξ	PROPN
ejpam-6919	132	29	,	,	PUNCT
ejpam-6919	132	30	τ	τ	PROPN
ejpam-6919	132	31	>	>	X
ejpam-6919	132	32	0	0	NUM
ejpam-6919	132	33	;	;	PUNCT
ejpam-6919	132	34	(	(	PUNCT
ejpam-6919	132	35	n15	n15	PROPN
ejpam-6919	132	36	)	)	PUNCT
ejpam-6919	132	37	for	for	ADP
ejpam-6919	132	38	every	every	DET
ejpam-6919	132	39	(	(	PUNCT
ejpam-6919	132	40	%	%	INTJ
ejpam-6919	132	41	,	,	PUNCT
ejpam-6919	132	42	δ	δ	PROPN
ejpam-6919	132	43	)	)	PUNCT
ejpam-6919	132	44	∈	∈	PROPN
ejpam-6919	132	45	ξ	ξ	X
ejpam-6919	132	46	×	×	PROPN
ejpam-6919	132	47	ξ	ξ	PROPN
ejpam-6919	132	48	,	,	PUNCT
ejpam-6919	132	49	for	for	ADP
ejpam-6919	132	50	all	all	DET
ejpam-6919	132	51	k	k	PROPN
ejpam-6919	132	52	∈	∈	PROPN
ejpam-6919	132	53	n	n	CCONJ
ejpam-6919	132	54	,	,	PUNCT
ejpam-6919	132	55	k	k	PROPN
ejpam-6919	132	56	≥	≥	NUM
ejpam-6919	132	57	2	2	NUM
ejpam-6919	132	58	and	and	CCONJ
ejpam-6919	132	59	for	for	ADP
ejpam-6919	132	60	all	all	PRON
ejpam-6919	132	61	{	{	PUNCT
ejpam-6919	132	62	ϑi}ki	ϑi}ki	PROPN
ejpam-6919	132	63	⊆	⊆	NUM
ejpam-6919	132	64	ξ	ξ	PROPN
ejpam-6919	132	65	with	with	ADP
ejpam-6919	132	66	ϑ1	ϑ1	NOUN
ejpam-6919	132	67	=	=	SYM
ejpam-6919	132	68	%	%	NOUN
ejpam-6919	132	69	and	and	CCONJ
ejpam-6919	132	70	ϑn	ϑn	NOUN
ejpam-6919	132	71	=	=	SYM
ejpam-6919	132	72	δ	δ	PROPN
ejpam-6919	132	73	,	,	PUNCT
ejpam-6919	132	74	we	we	PRON
ejpam-6919	132	75	have	have	VERB
ejpam-6919	132	76	(	(	PUNCT
ejpam-6919	132	77	f(1−	f(1−	PROPN
ejpam-6919	132	78	c(%	c(%	NOUN
ejpam-6919	132	79	,	,	PUNCT
ejpam-6919	132	80	δ	δ	PROPN
ejpam-6919	132	81	,	,	PUNCT
ejpam-6919	132	82	τ)))λ	τ)))λ	PROPN
ejpam-6919	132	83	≥	≥	PROPN
ejpam-6919	132	84	f	f	PROPN
ejpam-6919	132	85	(	(	PUNCT
ejpam-6919	132	86	1−	1−	NUM
ejpam-6919	132	87	{	{	PUNCT
ejpam-6919	132	88	c	c	NOUN
ejpam-6919	132	89	(	(	PUNCT
ejpam-6919	132	90	ϑ1	ϑ1	NOUN
ejpam-6919	132	91	,	,	PUNCT
ejpam-6919	132	92	ϑ2	ϑ2	PROPN
ejpam-6919	132	93	,	,	PUNCT
ejpam-6919	132	94	τ1)	τ1)	PROPN
ejpam-6919	133	1	♦	♦	PROPN
ejpam-6919	133	2	c	c	PROPN
ejpam-6919	133	3	(	(	PUNCT
ejpam-6919	133	4	ϑ2	ϑ2	PROPN
ejpam-6919	133	5	,	,	PUNCT
ejpam-6919	133	6	ϑ3	ϑ3	NOUN
ejpam-6919	133	7	,	,	PUNCT
ejpam-6919	133	8	τ2	τ2	PROPN
ejpam-6919	133	9	)	)	PUNCT
ejpam-6919	133	10	♦	♦	PROPN
ejpam-6919	133	11	·	·	PUNCT
ejpam-6919	133	12	·	·	PUNCT
ejpam-6919	133	13	·	·	PUNCT
ejpam-6919	133	14	♦	♦	PROPN
ejpam-6919	133	15	c	c	PROPN
ejpam-6919	133	16	(	(	PUNCT
ejpam-6919	133	17	ϑk−1	ϑk−1	PROPN
ejpam-6919	133	18	,	,	PUNCT
ejpam-6919	133	19	ϑk	ϑk	PROPN
ejpam-6919	133	20	,	,	PUNCT
ejpam-6919	133	21	τk−1	τk−1	NOUN
ejpam-6919	133	22	)	)	PUNCT
ejpam-6919	133	23	}	}	PUNCT
ejpam-6919	133	24	)	)	PUNCT
ejpam-6919	133	25	m.	m.	NOUN
ejpam-6919	133	26	pandiselvi	pandiselvi	PROPN
ejpam-6919	133	27	,	,	PUNCT
ejpam-6919	133	28	m.	m.	NOUN
ejpam-6919	133	29	jeyaraman	jeyaraman	PROPN
ejpam-6919	133	30	,	,	PUNCT
ejpam-6919	133	31	m.	m.	NOUN
ejpam-6919	133	32	akram	akram	PROPN
ejpam-6919	133	33	/	/	PUNCT
ejpam-6919	133	34	eur	eur	PROPN
ejpam-6919	133	35	.	.	PUNCT
ejpam-6919	134	1	j.	j.	PROPN
ejpam-6919	134	2	pure	pure	PROPN
ejpam-6919	134	3	appl	appl	PROPN
ejpam-6919	134	4	.	.	PROPN
ejpam-6919	134	5	math	math	PROPN
ejpam-6919	134	6	,	,	PUNCT
ejpam-6919	134	7	18	18	NUM
ejpam-6919	134	8	(	(	PUNCT
ejpam-6919	134	9	4	4	NUM
ejpam-6919	134	10	)	)	PUNCT
ejpam-6919	134	11	(	(	PUNCT
ejpam-6919	134	12	2025	2025	NUM
ejpam-6919	134	13	)	)	PUNCT
ejpam-6919	134	14	,	,	PUNCT
ejpam-6919	134	15	6919	6919	NUM
ejpam-6919	134	16	5	5	NUM
ejpam-6919	134	17	of	of	ADP
ejpam-6919	134	18	16	16	NUM
ejpam-6919	134	19	where	where	SCONJ
ejpam-6919	134	20	τ	τ	X
ejpam-6919	134	21	=	=	SYM
ejpam-6919	134	22	τ1	τ1	PROPN
ejpam-6919	134	23	+	+	X
ejpam-6919	134	24	τ2	τ2	NOUN
ejpam-6919	134	25	+	+	NOUN
ejpam-6919	134	26	.	.	PUNCT
ejpam-6919	134	27	.	.	PUNCT
ejpam-6919	135	1	.+	.+	NOUN
ejpam-6919	135	2	τk−1	τk−1	NOUN
ejpam-6919	135	3	;	;	PUNCT
ejpam-6919	135	4	τi	τi	X
ejpam-6919	135	5	>	>	X
ejpam-6919	135	6	0	0	PUNCT
ejpam-6919	136	1	for	for	ADP
ejpam-6919	136	2	i	i	PRON
ejpam-6919	136	3	=	=	NOUN
ejpam-6919	136	4	1	1	NUM
ejpam-6919	136	5	,	,	PUNCT
ejpam-6919	136	6	2	2	NUM
ejpam-6919	136	7	,	,	PUNCT
ejpam-6919	136	8	·	·	PUNCT
ejpam-6919	136	9	·	·	PUNCT
ejpam-6919	136	10	·	·	PUNCT
ejpam-6919	136	11	,	,	PUNCT
ejpam-6919	136	12	(	(	PUNCT
ejpam-6919	136	13	k	k	NOUN
ejpam-6919	136	14	−	−	PROPN
ejpam-6919	136	15	1	1	NUM
ejpam-6919	136	16	)	)	PUNCT
ejpam-6919	136	17	;	;	PUNCT
ejpam-6919	136	18	(	(	PUNCT
ejpam-6919	136	19	n16	n16	NOUN
ejpam-6919	136	20	)	)	PUNCT
ejpam-6919	136	21	c(%	c(%	NOUN
ejpam-6919	136	22	,	,	PUNCT
ejpam-6919	136	23	δ	δ	PROPN
ejpam-6919	136	24	,	,	PUNCT
ejpam-6919	136	25	.	.	PUNCT
ejpam-6919	136	26	)	)	PUNCT
ejpam-6919	136	27	is	be	AUX
ejpam-6919	136	28	neutrosophic	neutrosophic	ADJ
ejpam-6919	136	29	continuous	continuous	ADJ
ejpam-6919	136	30	from	from	ADP
ejpam-6919	136	31	[	[	X
ejpam-6919	136	32	0,∞	0,∞	NOUN
ejpam-6919	136	33	)	)	PUNCT
ejpam-6919	136	34	→	→	PUNCT
ejpam-6919	137	1	[	[	X
ejpam-6919	137	2	0	0	NUM
ejpam-6919	137	3	,	,	PUNCT
ejpam-6919	137	4	1	1	NUM
ejpam-6919	137	5	]	]	PUNCT
ejpam-6919	137	6	;	;	PUNCT
ejpam-6919	137	7	(	(	PUNCT
ejpam-6919	137	8	n17	n17	PROPN
ejpam-6919	137	9	)	)	PUNCT
ejpam-6919	137	10	lim	lim	PROPN
ejpam-6919	137	11	τ→∞	τ→∞	NUM
ejpam-6919	137	12	c(%	c(%	PROPN
ejpam-6919	137	13	,	,	PUNCT
ejpam-6919	137	14	δ	δ	PROPN
ejpam-6919	137	15	,	,	PUNCT
ejpam-6919	137	16	τ	τ	PROPN
ejpam-6919	137	17	)	)	PUNCT
ejpam-6919	137	18	=	=	SYM
ejpam-6919	137	19	0	0	NUM
ejpam-6919	137	20	;	;	PUNCT
ejpam-6919	137	21	then	then	ADV
ejpam-6919	137	22	(	(	PUNCT
ejpam-6919	137	23	ξ	ξ	X
ejpam-6919	137	24	,	,	PUNCT
ejpam-6919	137	25	a	a	DET
ejpam-6919	137	26	,	,	PUNCT
ejpam-6919	137	27	b	b	NOUN
ejpam-6919	137	28	,	,	PUNCT
ejpam-6919	137	29	c	c	PROPN
ejpam-6919	137	30	,	,	PUNCT
ejpam-6919	137	31	f	f	PROPN
ejpam-6919	137	32	,	,	PUNCT
ejpam-6919	137	33	λ	λ	PROPN
ejpam-6919	137	34	,	,	PUNCT
ejpam-6919	137	35	?	?	PUNCT
ejpam-6919	137	36	,	,	PUNCT
ejpam-6919	137	37	♦	♦	PROPN
ejpam-6919	137	38	)	)	PUNCT
ejpam-6919	137	39	is	be	AUX
ejpam-6919	137	40	referred	refer	VERB
ejpam-6919	137	41	to	to	ADP
ejpam-6919	137	42	as	as	ADP
ejpam-6919	137	43	a	a	DET
ejpam-6919	137	44	neutrosophic	neutrosophic	ADJ
ejpam-6919	137	45	f	f	X
ejpam-6919	137	46	-	-	PUNCT
ejpam-6919	137	47	metric	metric	ADJ
ejpam-6919	137	48	space	space	NOUN
ejpam-6919	138	1	[	[	X
ejpam-6919	138	2	nfms	nfms	PROPN
ejpam-6919	138	3	]	]	PUNCT
ejpam-6919	138	4	.	.	PUNCT
ejpam-6919	139	1	example	example	NOUN
ejpam-6919	140	1	5	5	NUM
ejpam-6919	140	2	.	.	PUNCT
ejpam-6919	140	3	let	let	VERB
ejpam-6919	140	4	ξ	ξ	X
ejpam-6919	140	5	=	=	SYM
ejpam-6919	140	6	r	r	NOUN
ejpam-6919	140	7	,	,	PUNCT
ejpam-6919	140	8	a	a	PRON
ejpam-6919	140	9	?	?	PUNCT
ejpam-6919	141	1	b	b	X
ejpam-6919	141	2	=	=	SYM
ejpam-6919	141	3	min{a	min{a	NOUN
ejpam-6919	141	4	,	,	PUNCT
ejpam-6919	141	5	b	b	NOUN
ejpam-6919	141	6	}	}	PUNCT
ejpam-6919	141	7	,	,	PUNCT
ejpam-6919	141	8	a	a	DET
ejpam-6919	141	9	♦	♦	PROPN
ejpam-6919	141	10	b	b	PROPN
ejpam-6919	141	11	=	=	SYM
ejpam-6919	141	12	max{a	max{a	PROPN
ejpam-6919	141	13	,	,	PUNCT
ejpam-6919	141	14	b	b	NOUN
ejpam-6919	141	15	}	}	PUNCT
ejpam-6919	141	16	and	and	CCONJ
ejpam-6919	141	17	define	define	VERB
ejpam-6919	141	18	the	the	DET
ejpam-6919	141	19	functions	function	NOUN
ejpam-6919	141	20	a	a	DET
ejpam-6919	141	21	,	,	PUNCT
ejpam-6919	141	22	b	b	NOUN
ejpam-6919	141	23	,	,	PUNCT
ejpam-6919	141	24	c	c	NOUN
ejpam-6919	141	25	:	:	PUNCT
ejpam-6919	142	1	ξ×	ξ×	PROPN
ejpam-6919	142	2	ξ×	ξ×	PROPN
ejpam-6919	142	3	(	(	PUNCT
ejpam-6919	142	4	0,∞	0,∞	NOUN
ejpam-6919	142	5	)	)	PUNCT
ejpam-6919	142	6	→	→	PUNCT
ejpam-6919	143	1	[	[	X
ejpam-6919	143	2	0	0	NUM
ejpam-6919	143	3	,	,	PUNCT
ejpam-6919	143	4	1	1	NUM
ejpam-6919	143	5	]	]	PUNCT
ejpam-6919	143	6	by	by	ADP
ejpam-6919	143	7	a(%	a(%	NOUN
ejpam-6919	143	8	,	,	PUNCT
ejpam-6919	143	9	δ	δ	PROPN
ejpam-6919	143	10	,	,	PUNCT
ejpam-6919	143	11	τ	τ	X
ejpam-6919	143	12	)	)	PUNCT
ejpam-6919	143	13	=	=	PUNCT
ejpam-6919	144	1	e	e	NOUN
ejpam-6919	144	2	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	144	3	τ	τ	PROPN
ejpam-6919	144	4	,	,	PUNCT
ejpam-6919	144	5	b(%	b(%	PROPN
ejpam-6919	144	6	,	,	PUNCT
ejpam-6919	144	7	δ	δ	PROPN
ejpam-6919	144	8	,	,	PUNCT
ejpam-6919	144	9	τ	τ	PROPN
ejpam-6919	144	10	)	)	PUNCT
ejpam-6919	144	11	=	=	SYM
ejpam-6919	144	12	1−	1−	NUM
ejpam-6919	144	13	e	e	SYM
ejpam-6919	144	14	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	144	15	τ	τ	PROPN
ejpam-6919	144	16	,	,	PUNCT
ejpam-6919	144	17	c(%	c(%	PROPN
ejpam-6919	144	18	,	,	PUNCT
ejpam-6919	144	19	δ	δ	PROPN
ejpam-6919	144	20	,	,	PUNCT
ejpam-6919	144	21	τ	τ	PROPN
ejpam-6919	144	22	)	)	PUNCT
ejpam-6919	144	23	=	=	SYM
ejpam-6919	145	1	1−	1−	NUM
ejpam-6919	145	2	e	e	NOUN
ejpam-6919	145	3	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	145	4	2τ	2τ	NUM
ejpam-6919	145	5	,	,	PUNCT
ejpam-6919	145	6	∀	∀	X
ejpam-6919	145	7	(	(	PUNCT
ejpam-6919	145	8	%	%	INTJ
ejpam-6919	145	9	,	,	PUNCT
ejpam-6919	145	10	δ	δ	PROPN
ejpam-6919	145	11	)	)	PUNCT
ejpam-6919	145	12	∈	∈	PROPN
ejpam-6919	146	1	ξ×	ξ×	PROPN
ejpam-6919	146	2	ξ	ξ	PROPN
ejpam-6919	146	3	and	and	CCONJ
ejpam-6919	146	4	τ	τ	X
ejpam-6919	146	5	>	>	X
ejpam-6919	146	6	0	0	PROPN
ejpam-6919	146	7	.	.	PUNCT
ejpam-6919	147	1	then	then	ADV
ejpam-6919	147	2	(	(	PUNCT
ejpam-6919	147	3	ξ	ξ	X
ejpam-6919	147	4	,	,	PUNCT
ejpam-6919	147	5	a	a	DET
ejpam-6919	147	6	,	,	PUNCT
ejpam-6919	147	7	b	b	NOUN
ejpam-6919	147	8	,	,	PUNCT
ejpam-6919	147	9	c	c	X
ejpam-6919	147	10	,	,	PUNCT
ejpam-6919	147	11	f	f	PROPN
ejpam-6919	147	12	,	,	PUNCT
ejpam-6919	147	13	λ	λ	PROPN
ejpam-6919	147	14	,	,	PUNCT
ejpam-6919	147	15	?	?	PUNCT
ejpam-6919	147	16	,	,	PUNCT
ejpam-6919	147	17	♦	♦	PROPN
ejpam-6919	147	18	)	)	PUNCT
ejpam-6919	147	19	is	be	AUX
ejpam-6919	147	20	a	a	DET
ejpam-6919	147	21	nfms	nfms	PROPN
ejpam-6919	147	22	.	.	PUNCT
ejpam-6919	148	1	proposition	proposition	NOUN
ejpam-6919	148	2	1	1	NUM
ejpam-6919	148	3	.	.	PUNCT
ejpam-6919	149	1	let	let	AUX
ejpam-6919	149	2	(	(	PUNCT
ejpam-6919	149	3	ξ	ξ	X
ejpam-6919	149	4	,	,	PUNCT
ejpam-6919	149	5	a	a	DET
ejpam-6919	149	6	,	,	PUNCT
ejpam-6919	149	7	b	b	NOUN
ejpam-6919	149	8	,	,	PUNCT
ejpam-6919	149	9	c	c	X
ejpam-6919	149	10	,	,	PUNCT
ejpam-6919	149	11	f	f	PROPN
ejpam-6919	149	12	,	,	PUNCT
ejpam-6919	149	13	λ	λ	PROPN
ejpam-6919	149	14	,	,	PUNCT
ejpam-6919	149	15	?	?	PUNCT
ejpam-6919	149	16	,	,	PUNCT
ejpam-6919	149	17	♦	♦	PROPN
ejpam-6919	149	18	)	)	PUNCT
ejpam-6919	149	19	be	be	AUX
ejpam-6919	149	20	a	a	DET
ejpam-6919	149	21	nfms	nfms	NOUN
ejpam-6919	149	22	,	,	PUNCT
ejpam-6919	149	23	{	{	PUNCT
ejpam-6919	149	24	%	%	INTJ
ejpam-6919	149	25	i	i	X
ejpam-6919	149	26	}	}	PUNCT
ejpam-6919	149	27	⊆	⊆	NUM
ejpam-6919	149	28	ξ	ξ	X
ejpam-6919	149	29	be	be	AUX
ejpam-6919	149	30	a	a	DET
ejpam-6919	149	31	sequence	sequence	NOUN
ejpam-6919	149	32	and	and	CCONJ
ejpam-6919	149	33	%	%	NOUN
ejpam-6919	149	34	∈	∈	PROPN
ejpam-6919	149	35	ξ	ξ	X
ejpam-6919	149	36	.	.	PUNCT
ejpam-6919	150	1	then	then	ADV
ejpam-6919	150	2	(	(	PUNCT
ejpam-6919	150	3	i	i	NOUN
ejpam-6919	150	4	)	)	PUNCT
ejpam-6919	150	5	{	{	PUNCT
ejpam-6919	150	6	%	%	INTJ
ejpam-6919	150	7	i	i	PRON
ejpam-6919	150	8	}	}	PUNCT
ejpam-6919	150	9	is	be	AUX
ejpam-6919	150	10	convergent	convergent	ADJ
ejpam-6919	150	11	to	to	PART
ejpam-6919	150	12	%	%	VERB
ejpam-6919	150	13	iff	iff	PROPN
ejpam-6919	150	14	lim	lim	PROPN
ejpam-6919	150	15	i→∞	i→∞	VERB
ejpam-6919	150	16	a	a	DET
ejpam-6919	150	17	(	(	PUNCT
ejpam-6919	150	18	%	%	INTJ
ejpam-6919	150	19	i	i	PRON
ejpam-6919	150	20	,	,	PUNCT
ejpam-6919	150	21	%	%	INTJ
ejpam-6919	150	22	,	,	PUNCT
ejpam-6919	150	23	τ	τ	PROPN
ejpam-6919	150	24	)	)	PUNCT
ejpam-6919	150	25	=	=	SYM
ejpam-6919	150	26	1	1	NUM
ejpam-6919	150	27	,	,	PUNCT
ejpam-6919	151	1	lim	lim	PROPN
ejpam-6919	151	2	i→∞	i→∞	PROPN
ejpam-6919	151	3	b	b	PROPN
ejpam-6919	151	4	(	(	PUNCT
ejpam-6919	151	5	%	%	INTJ
ejpam-6919	151	6	i	i	PRON
ejpam-6919	151	7	,	,	PUNCT
ejpam-6919	151	8	%	%	INTJ
ejpam-6919	151	9	,	,	PUNCT
ejpam-6919	151	10	τ	τ	PROPN
ejpam-6919	151	11	)	)	PUNCT
ejpam-6919	151	12	=	=	SYM
ejpam-6919	151	13	0	0	PROPN
ejpam-6919	151	14	,	,	PUNCT
ejpam-6919	151	15	lim	lim	PROPN
ejpam-6919	151	16	i→∞	i→∞	NUM
ejpam-6919	151	17	c	c	PROPN
ejpam-6919	152	1	(	(	PUNCT
ejpam-6919	152	2	%	%	INTJ
ejpam-6919	152	3	i	i	PRON
ejpam-6919	152	4	,	,	PUNCT
ejpam-6919	152	5	%	%	INTJ
ejpam-6919	152	6	,	,	PUNCT
ejpam-6919	152	7	τ	τ	PROPN
ejpam-6919	152	8	)	)	PUNCT
ejpam-6919	152	9	=	=	SYM
ejpam-6919	152	10	0	0	NUM
ejpam-6919	152	11	,	,	PUNCT
ejpam-6919	152	12	∀	∀	X
ejpam-6919	152	13	τ	τ	X
ejpam-6919	152	14	>	>	X
ejpam-6919	152	15	0	0	NUM
ejpam-6919	152	16	.	.	PUNCT
ejpam-6919	152	17	(	(	PUNCT
ejpam-6919	152	18	ii	ii	NOUN
ejpam-6919	152	19	)	)	PUNCT
ejpam-6919	152	20	{	{	PUNCT
ejpam-6919	152	21	%	%	INTJ
ejpam-6919	152	22	i	i	PRON
ejpam-6919	152	23	}	}	PUNCT
ejpam-6919	152	24	is	be	AUX
ejpam-6919	152	25	cauchy	cauchy	PROPN
ejpam-6919	152	26	iff	iff	PROPN
ejpam-6919	152	27	lim	lim	PROPN
ejpam-6919	152	28	j	j	PROPN
ejpam-6919	152	29	,	,	PUNCT
ejpam-6919	152	30	i→∞	i→∞	VERB
ejpam-6919	152	31	a	a	DET
ejpam-6919	152	32	(	(	PUNCT
ejpam-6919	152	33	%	%	INTJ
ejpam-6919	152	34	i	i	INTJ
ejpam-6919	152	35	,	,	PUNCT
ejpam-6919	153	1	%	%	INTJ
ejpam-6919	153	2	j	j	PROPN
ejpam-6919	153	3	,	,	PUNCT
ejpam-6919	153	4	τ	τ	PROPN
ejpam-6919	153	5	)	)	PUNCT
ejpam-6919	153	6	=	=	SYM
ejpam-6919	153	7	1	1	NUM
ejpam-6919	153	8	,	,	PUNCT
ejpam-6919	153	9	lim	lim	PROPN
ejpam-6919	153	10	j	j	PROPN
ejpam-6919	153	11	,	,	PUNCT
ejpam-6919	153	12	i→∞	i→∞	PROPN
ejpam-6919	153	13	b	b	X
ejpam-6919	154	1	(	(	PUNCT
ejpam-6919	154	2	%	%	INTJ
ejpam-6919	154	3	i	i	PRON
ejpam-6919	154	4	,	,	PUNCT
ejpam-6919	154	5	%	%	INTJ
ejpam-6919	154	6	j	j	PROPN
ejpam-6919	154	7	,	,	PUNCT
ejpam-6919	154	8	τ	τ	PROPN
ejpam-6919	154	9	)	)	PUNCT
ejpam-6919	154	10	=	=	SYM
ejpam-6919	154	11	0	0	PROPN
ejpam-6919	154	12	,	,	PUNCT
ejpam-6919	154	13	lim	lim	PROPN
ejpam-6919	154	14	j	j	PROPN
ejpam-6919	154	15	,	,	PUNCT
ejpam-6919	154	16	i→∞	i→∞	PROPN
ejpam-6919	154	17	c	c	NOUN
ejpam-6919	154	18	(	(	PUNCT
ejpam-6919	154	19	%	%	INTJ
ejpam-6919	154	20	i	i	PRON
ejpam-6919	154	21	,	,	PUNCT
ejpam-6919	154	22	%	%	INTJ
ejpam-6919	154	23	j	j	PROPN
ejpam-6919	154	24	,	,	PUNCT
ejpam-6919	154	25	τ	τ	PROPN
ejpam-6919	154	26	)	)	PUNCT
ejpam-6919	154	27	=	=	SYM
ejpam-6919	154	28	0	0	NUM
ejpam-6919	154	29	,	,	PUNCT
ejpam-6919	154	30	∀	∀	X
ejpam-6919	154	31	τ	τ	X
ejpam-6919	154	32	>	>	X
ejpam-6919	154	33	0	0	X
ejpam-6919	154	34	.	.	PUNCT
ejpam-6919	155	1	definition	definition	NOUN
ejpam-6919	155	2	6	6	NUM
ejpam-6919	155	3	.	.	PUNCT
ejpam-6919	156	1	consider	consider	VERB
ejpam-6919	156	2	the	the	DET
ejpam-6919	156	3	class	class	NOUN
ejpam-6919	156	4	υ	υ	PROPN
ejpam-6919	156	5	consists	consist	VERB
ejpam-6919	156	6	of	of	ADP
ejpam-6919	156	7	all	all	DET
ejpam-6919	156	8	functions	function	NOUN
ejpam-6919	156	9	ϕ	ϕ	NOUN
ejpam-6919	156	10	:	:	PUNCT
ejpam-6919	157	1	[	[	X
ejpam-6919	157	2	0	0	NUM
ejpam-6919	157	3	,	,	PUNCT
ejpam-6919	157	4	1	1	NUM
ejpam-6919	157	5	]	]	PUNCT
ejpam-6919	157	6	→	→	PUNCT
ejpam-6919	157	7	[	[	X
ejpam-6919	157	8	0	0	NUM
ejpam-6919	157	9	,	,	PUNCT
ejpam-6919	157	10	1	1	NUM
ejpam-6919	157	11	]	]	PUNCT
ejpam-6919	157	12	that	that	PRON
ejpam-6919	157	13	meet	meet	VERB
ejpam-6919	157	14	these	these	DET
ejpam-6919	157	15	criteria	criterion	NOUN
ejpam-6919	157	16	:	:	PUNCT
ejpam-6919	157	17	(	(	PUNCT
ejpam-6919	157	18	i	i	NOUN
ejpam-6919	157	19	)	)	PUNCT
ejpam-6919	157	20	ϕ	ϕ	PROPN
ejpam-6919	157	21	is	be	AUX
ejpam-6919	157	22	continuous	continuous	ADJ
ejpam-6919	157	23	and	and	CCONJ
ejpam-6919	157	24	monotonically	monotonically	ADV
ejpam-6919	157	25	nondecreasing	nondecreasing	ADJ
ejpam-6919	157	26	;	;	PUNCT
ejpam-6919	157	27	(	(	PUNCT
ejpam-6919	157	28	ii	ii	NOUN
ejpam-6919	157	29	)	)	PUNCT
ejpam-6919	157	30	for	for	ADP
ejpam-6919	157	31	all	all	PRON
ejpam-6919	157	32	τ	τ	X
ejpam-6919	157	33	∈	∈	PROPN
ejpam-6919	157	34	(	(	PUNCT
ejpam-6919	157	35	0	0	NUM
ejpam-6919	157	36	,	,	PUNCT
ejpam-6919	157	37	1	1	NUM
ejpam-6919	157	38	)	)	PUNCT
ejpam-6919	157	39	,	,	PUNCT
ejpam-6919	157	40	the	the	DET
ejpam-6919	157	41	inequality	inequality	NOUN
ejpam-6919	157	42	ϕ(τ	ϕ(τ	PROPN
ejpam-6919	157	43	)	)	PUNCT
ejpam-6919	157	44	>	>	PUNCT
ejpam-6919	158	1	τ	τ	PROPN
ejpam-6919	158	2	holds	hold	VERB
ejpam-6919	158	3	.	.	PUNCT
ejpam-6919	158	4	example	example	NOUN
ejpam-6919	158	5	6	6	NUM
ejpam-6919	158	6	.	.	PUNCT
ejpam-6919	158	7	define	define	VERB
ejpam-6919	158	8	a	a	DET
ejpam-6919	158	9	function	function	NOUN
ejpam-6919	158	10	ϕ	ϕ	NOUN
ejpam-6919	158	11	:	:	PUNCT
ejpam-6919	159	1	[	[	X
ejpam-6919	159	2	0	0	NUM
ejpam-6919	159	3	,	,	PUNCT
ejpam-6919	159	4	1	1	NUM
ejpam-6919	159	5	]	]	PUNCT
ejpam-6919	159	6	→	→	PUNCT
ejpam-6919	159	7	[	[	X
ejpam-6919	159	8	0	0	NUM
ejpam-6919	159	9	,	,	PUNCT
ejpam-6919	159	10	1	1	NUM
ejpam-6919	159	11	]	]	PUNCT
ejpam-6919	159	12	by	by	ADP
ejpam-6919	159	13	ϕ(τ	ϕ(τ	PROPN
ejpam-6919	159	14	)	)	PUNCT
ejpam-6919	159	15	=	=	PUNCT
ejpam-6919	159	16	τ	τ	PROPN
ejpam-6919	159	17	τ+s(1−τ	τ+s(1−τ	PROPN
ejpam-6919	159	18	)	)	PUNCT
ejpam-6919	159	19	,	,	PUNCT
ejpam-6919	159	20	τ	τ	PROPN
ejpam-6919	159	21	∈	∈	PROPN
ejpam-6919	160	1	[	[	X
ejpam-6919	160	2	0	0	NUM
ejpam-6919	160	3	,	,	PUNCT
ejpam-6919	160	4	1	1	NUM
ejpam-6919	160	5	]	]	PUNCT
ejpam-6919	160	6	where	where	SCONJ
ejpam-6919	160	7	s	s	VERB
ejpam-6919	160	8	∈	∈	PROPN
ejpam-6919	160	9	(	(	PUNCT
ejpam-6919	160	10	0	0	NUM
ejpam-6919	160	11	,	,	PUNCT
ejpam-6919	160	12	1	1	NUM
ejpam-6919	160	13	)	)	PUNCT
ejpam-6919	160	14	.	.	PUNCT
ejpam-6919	161	1	then	then	ADV
ejpam-6919	161	2	ϕ	ϕ	PROPN
ejpam-6919	161	3	∈	∈	PROPN
ejpam-6919	161	4	υ	υ	PROPN
ejpam-6919	161	5	.	.	PUNCT
ejpam-6919	161	6	lemma	lemma	PROPN
ejpam-6919	161	7	1	1	NUM
ejpam-6919	161	8	.	.	PUNCT
ejpam-6919	162	1	if	if	SCONJ
ejpam-6919	162	2	ϕ	ϕ	PROPN
ejpam-6919	162	3	∈	∈	PROPN
ejpam-6919	162	4	υ	υ	NOUN
ejpam-6919	162	5	then	then	ADV
ejpam-6919	162	6	ϕ(1	ϕ(1	PROPN
ejpam-6919	162	7	)	)	PUNCT
ejpam-6919	162	8	=	=	SYM
ejpam-6919	163	1	1	1	X
ejpam-6919	163	2	.	.	PUNCT
ejpam-6919	163	3	lemma	lemma	PROPN
ejpam-6919	163	4	2	2	X
ejpam-6919	163	5	.	.	PUNCT
ejpam-6919	164	1	if	if	SCONJ
ejpam-6919	164	2	ϕ	ϕ	PROPN
ejpam-6919	164	3	∈	∈	PROPN
ejpam-6919	164	4	υ	υ	NOUN
ejpam-6919	164	5	then	then	ADV
ejpam-6919	164	6	lim	lim	PROPN
ejpam-6919	164	7	i→∞	i→∞	NUM
ejpam-6919	164	8	ϕi(τ	ϕi(τ	PUNCT
ejpam-6919	164	9	)	)	PUNCT
ejpam-6919	164	10	=	=	SYM
ejpam-6919	164	11	1	1	NUM
ejpam-6919	164	12	for	for	ADP
ejpam-6919	164	13	all	all	DET
ejpam-6919	164	14	τ	τ	X
ejpam-6919	164	15	∈	∈	PROPN
ejpam-6919	164	16	(	(	PUNCT
ejpam-6919	164	17	0	0	NUM
ejpam-6919	164	18	,	,	PUNCT
ejpam-6919	164	19	1	1	NUM
ejpam-6919	164	20	)	)	PUNCT
ejpam-6919	164	21	.	.	PUNCT
ejpam-6919	165	1	3	3	X
ejpam-6919	165	2	.	.	X
ejpam-6919	165	3	main	main	ADJ
ejpam-6919	165	4	results	result	NOUN
ejpam-6919	165	5	this	this	DET
ejpam-6919	165	6	section	section	NOUN
ejpam-6919	165	7	presents	present	VERB
ejpam-6919	165	8	the	the	DET
ejpam-6919	165	9	main	main	ADJ
ejpam-6919	165	10	fixed	fix	VERB
ejpam-6919	165	11	point	point	NOUN
ejpam-6919	165	12	results	result	NOUN
ejpam-6919	165	13	in	in	ADP
ejpam-6919	165	14	neutrosophic	neutrosophic	ADJ
ejpam-6919	165	15	f	f	X
ejpam-6919	165	16	-	-	PUNCT
ejpam-6919	165	17	metric	metric	ADJ
ejpam-6919	165	18	spaces	space	NOUN
ejpam-6919	165	19	under	under	ADP
ejpam-6919	165	20	generalized	generalized	ADJ
ejpam-6919	165	21	contraction	contraction	NOUN
ejpam-6919	165	22	conditions	condition	NOUN
ejpam-6919	165	23	,	,	PUNCT
ejpam-6919	165	24	extending	extend	VERB
ejpam-6919	165	25	related	related	ADJ
ejpam-6919	165	26	results	result	NOUN
ejpam-6919	165	27	in	in	ADP
ejpam-6919	165	28	fuzzy	fuzzy	ADJ
ejpam-6919	165	29	settings	setting	NOUN
ejpam-6919	165	30	.	.	PUNCT
ejpam-6919	166	1	definition	definition	NOUN
ejpam-6919	166	2	7	7	NUM
ejpam-6919	166	3	.	.	PUNCT
ejpam-6919	166	4	consider	consider	VERB
ejpam-6919	166	5	the	the	DET
ejpam-6919	166	6	nfms	nfms	PROPN
ejpam-6919	166	7	(	(	PUNCT
ejpam-6919	166	8	ξ	ξ	PROPN
ejpam-6919	166	9	,	,	PUNCT
ejpam-6919	166	10	a	a	DET
ejpam-6919	166	11	,	,	PUNCT
ejpam-6919	166	12	b	b	NOUN
ejpam-6919	166	13	,	,	PUNCT
ejpam-6919	166	14	c	c	X
ejpam-6919	166	15	,	,	PUNCT
ejpam-6919	166	16	f	f	PROPN
ejpam-6919	166	17	,	,	PUNCT
ejpam-6919	166	18	λ	λ	PROPN
ejpam-6919	166	19	,	,	PUNCT
ejpam-6919	166	20	?	?	PUNCT
ejpam-6919	166	21	,	,	PUNCT
ejpam-6919	166	22	♦	♦	PROPN
ejpam-6919	166	23	)	)	PUNCT
ejpam-6919	166	24	.	.	PUNCT
ejpam-6919	167	1	a	a	DET
ejpam-6919	167	2	mapping	mapping	NOUN
ejpam-6919	167	3	l	l	NOUN
ejpam-6919	167	4	:	:	PUNCT
ejpam-6919	167	5	ξ	ξ	X
ejpam-6919	167	6	→	→	SYM
ejpam-6919	167	7	ξ	ξ	X
ejpam-6919	167	8	is	be	AUX
ejpam-6919	167	9	called	call	VERB
ejpam-6919	167	10	a	a	DET
ejpam-6919	167	11	neutrosophic	neutrosophic	ADJ
ejpam-6919	167	12	ϕ-contraction	ϕ-contraction	NOUN
ejpam-6919	167	13	mapping	mapping	NOUN
ejpam-6919	167	14	with	with	ADP
ejpam-6919	167	15	respect	respect	NOUN
ejpam-6919	167	16	to	to	ADP
ejpam-6919	167	17	the	the	DET
ejpam-6919	167	18	function	function	NOUN
ejpam-6919	167	19	ϕ	ϕ	PROPN
ejpam-6919	167	20	∈	∈	PROPN
ejpam-6919	167	21	υ	υ	NOUN
ejpam-6919	167	22	if	if	SCONJ
ejpam-6919	167	23	a(l%,lδ	a(l%,lδ	NUM
ejpam-6919	167	24	,	,	PUNCT
ejpam-6919	167	25	τ	τ	PROPN
ejpam-6919	167	26	)	)	PUNCT
ejpam-6919	167	27	≥	≥	NOUN
ejpam-6919	167	28	ϕ(a(%	ϕ(a(%	NOUN
ejpam-6919	167	29	,	,	PUNCT
ejpam-6919	167	30	δ	δ	PROPN
ejpam-6919	167	31	,	,	PUNCT
ejpam-6919	167	32	τ	τ	PROPN
ejpam-6919	167	33	)	)	PUNCT
ejpam-6919	167	34	)	)	PUNCT
ejpam-6919	167	35	,	,	PUNCT
ejpam-6919	167	36	1−	1−	NUM
ejpam-6919	167	37	b(l%,lδ	b(l%,lδ	NOUN
ejpam-6919	167	38	,	,	PUNCT
ejpam-6919	167	39	τ	τ	PROPN
ejpam-6919	167	40	)	)	PUNCT
ejpam-6919	167	41	≥	≥	NOUN
ejpam-6919	167	42	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	167	43	b(%	b(%	PROPN
ejpam-6919	167	44	,	,	PUNCT
ejpam-6919	167	45	δ	δ	PROPN
ejpam-6919	167	46	,	,	PUNCT
ejpam-6919	167	47	τ	τ	PROPN
ejpam-6919	167	48	)	)	PUNCT
ejpam-6919	167	49	)	)	PUNCT
ejpam-6919	167	50	,	,	PUNCT
ejpam-6919	167	51	1−	1−	NUM
ejpam-6919	167	52	c(l%,lδ	c(l%,lδ	NUM
ejpam-6919	167	53	,	,	PUNCT
ejpam-6919	167	54	τ	τ	X
ejpam-6919	167	55	)	)	PUNCT
ejpam-6919	167	56	≥	≥	NOUN
ejpam-6919	167	57	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	167	58	c(%	c(%	PROPN
ejpam-6919	167	59	,	,	PUNCT
ejpam-6919	167	60	δ	δ	PROPN
ejpam-6919	167	61	,	,	PUNCT
ejpam-6919	167	62	τ	τ	PROPN
ejpam-6919	167	63	)	)	PUNCT
ejpam-6919	167	64	)	)	PUNCT
ejpam-6919	168	1	(	(	PUNCT
ejpam-6919	168	2	1	1	X
ejpam-6919	168	3	)	)	PUNCT
ejpam-6919	168	4	for	for	ADP
ejpam-6919	168	5	all	all	DET
ejpam-6919	168	6	%	%	NOUN
ejpam-6919	168	7	,	,	PUNCT
ejpam-6919	168	8	δ	δ	PROPN
ejpam-6919	168	9	∈	∈	PROPN
ejpam-6919	168	10	ξ	ξ	PROPN
ejpam-6919	168	11	and	and	CCONJ
ejpam-6919	168	12	τ	τ	X
ejpam-6919	168	13	>	>	X
ejpam-6919	168	14	0	0	PROPN
ejpam-6919	168	15	.	.	PUNCT
ejpam-6919	168	16	m.	m.	NOUN
ejpam-6919	168	17	pandiselvi	pandiselvi	PROPN
ejpam-6919	168	18	,	,	PUNCT
ejpam-6919	168	19	m.	m.	NOUN
ejpam-6919	168	20	jeyaraman	jeyaraman	PROPN
ejpam-6919	168	21	,	,	PUNCT
ejpam-6919	168	22	m.	m.	NOUN
ejpam-6919	168	23	akram	akram	PROPN
ejpam-6919	168	24	/	/	PUNCT
ejpam-6919	168	25	eur	eur	PROPN
ejpam-6919	168	26	.	.	PUNCT
ejpam-6919	169	1	j.	j.	PROPN
ejpam-6919	169	2	pure	pure	PROPN
ejpam-6919	169	3	appl	appl	PROPN
ejpam-6919	169	4	.	.	PROPN
ejpam-6919	169	5	math	math	PROPN
ejpam-6919	169	6	,	,	PUNCT
ejpam-6919	169	7	18	18	NUM
ejpam-6919	169	8	(	(	PUNCT
ejpam-6919	169	9	4	4	NUM
ejpam-6919	169	10	)	)	PUNCT
ejpam-6919	169	11	(	(	PUNCT
ejpam-6919	169	12	2025	2025	NUM
ejpam-6919	169	13	)	)	PUNCT
ejpam-6919	169	14	,	,	PUNCT
ejpam-6919	169	15	6919	6919	NUM
ejpam-6919	169	16	6	6	NUM
ejpam-6919	169	17	of	of	ADP
ejpam-6919	169	18	16	16	NUM
ejpam-6919	169	19	theorem	theorem	NOUN
ejpam-6919	169	20	1	1	NUM
ejpam-6919	169	21	.	.	PUNCT
ejpam-6919	170	1	let	let	AUX
ejpam-6919	170	2	(	(	PUNCT
ejpam-6919	170	3	ξ	ξ	X
ejpam-6919	170	4	,	,	PUNCT
ejpam-6919	170	5	a	a	DET
ejpam-6919	170	6	,	,	PUNCT
ejpam-6919	170	7	b	b	NOUN
ejpam-6919	170	8	,	,	PUNCT
ejpam-6919	170	9	c	c	X
ejpam-6919	170	10	,	,	PUNCT
ejpam-6919	170	11	f	f	PROPN
ejpam-6919	170	12	,	,	PUNCT
ejpam-6919	170	13	λ	λ	PROPN
ejpam-6919	170	14	,	,	PUNCT
ejpam-6919	170	15	?	?	PUNCT
ejpam-6919	170	16	,	,	PUNCT
ejpam-6919	170	17	♦	♦	PROPN
ejpam-6919	170	18	)	)	PUNCT
ejpam-6919	170	19	be	be	AUX
ejpam-6919	170	20	a	a	DET
ejpam-6919	170	21	complete	complete	ADJ
ejpam-6919	170	22	nfms	nfms	NOUN
ejpam-6919	170	23	and	and	CCONJ
ejpam-6919	170	24	l	l	NOUN
ejpam-6919	170	25	satisfying	satisfy	VERB
ejpam-6919	170	26	equation	equation	NOUN
ejpam-6919	170	27	(	(	PUNCT
ejpam-6919	170	28	1	1	NUM
ejpam-6919	170	29	)	)	PUNCT
ejpam-6919	170	30	.	.	PUNCT
ejpam-6919	171	1	then	then	ADV
ejpam-6919	171	2	l	l	NOUN
ejpam-6919	171	3	admits	admit	VERB
ejpam-6919	171	4	unique	unique	ADJ
ejpam-6919	171	5	fixed	fix	VERB
ejpam-6919	171	6	point	point	NOUN
ejpam-6919	171	7	in	in	ADP
ejpam-6919	171	8	ξ	ξ	PROPN
ejpam-6919	171	9	.	.	PUNCT
ejpam-6919	172	1	proof	proof	NOUN
ejpam-6919	172	2	.	.	PUNCT
ejpam-6919	173	1	let	let	VERB
ejpam-6919	173	2	%	%	NOUN
ejpam-6919	173	3	∈	∈	PROPN
ejpam-6919	173	4	ξ	ξ	PROPN
ejpam-6919	173	5	and	and	CCONJ
ejpam-6919	173	6	define	define	VERB
ejpam-6919	173	7	%	%	INTJ
ejpam-6919	174	1	i	i	NOUN
ejpam-6919	174	2	=	=	SYM
ejpam-6919	174	3	li%	li%	PROPN
ejpam-6919	174	4	,	,	PUNCT
ejpam-6919	174	5	i	i	PRON
ejpam-6919	174	6	∈	∈	VERB
ejpam-6919	174	7	n	n	PART
ejpam-6919	174	8	∪	∪	VERB
ejpam-6919	174	9	{	{	PUNCT
ejpam-6919	174	10	0	0	NUM
ejpam-6919	174	11	}	}	PUNCT
ejpam-6919	174	12	.	.	PUNCT
ejpam-6919	175	1	if	if	SCONJ
ejpam-6919	175	2	l	l	PROPN
ejpam-6919	175	3	(	(	PUNCT
ejpam-6919	175	4	%	%	INTJ
ejpam-6919	175	5	r	r	NOUN
ejpam-6919	175	6	)	)	PUNCT
ejpam-6919	175	7	=	=	SYM
ejpam-6919	176	1	%	%	NOUN
ejpam-6919	176	2	r	r	NOUN
ejpam-6919	176	3	for	for	ADP
ejpam-6919	176	4	some	some	DET
ejpam-6919	176	5	r	r	NOUN
ejpam-6919	176	6	∈	∈	NOUN
ejpam-6919	176	7	n	n	PART
ejpam-6919	176	8	∪	∪	X
ejpam-6919	176	9	{	{	PUNCT
ejpam-6919	176	10	0	0	NUM
ejpam-6919	176	11	}	}	PUNCT
ejpam-6919	176	12	then	then	ADV
ejpam-6919	176	13	the	the	DET
ejpam-6919	176	14	proof	proof	NOUN
ejpam-6919	176	15	is	be	AUX
ejpam-6919	176	16	complete	complete	ADJ
ejpam-6919	176	17	.	.	PUNCT
ejpam-6919	177	1	otherwise	otherwise	ADV
ejpam-6919	177	2	,	,	PUNCT
ejpam-6919	177	3	assume	assume	VERB
ejpam-6919	177	4	that	that	SCONJ
ejpam-6919	177	5	l	l	NOUN
ejpam-6919	177	6	(	(	PUNCT
ejpam-6919	177	7	%	%	INTJ
ejpam-6919	177	8	r	r	NOUN
ejpam-6919	177	9	)	)	PUNCT
ejpam-6919	177	10	6=	6=	NOUN
ejpam-6919	178	1	%	%	NOUN
ejpam-6919	178	2	r	r	NOUN
ejpam-6919	178	3	∀	∀	NOUN
ejpam-6919	178	4	r	r	NOUN
ejpam-6919	178	5	∈	∈	NOUN
ejpam-6919	178	6	n	n	PART
ejpam-6919	178	7	∪	∪	X
ejpam-6919	178	8	{	{	PUNCT
ejpam-6919	178	9	0	0	NUM
ejpam-6919	178	10	}	}	PUNCT
ejpam-6919	178	11	.	.	PUNCT
ejpam-6919	179	1	since	since	SCONJ
ejpam-6919	179	2	l	l	NOUN
ejpam-6919	179	3	satisfying	satisfy	VERB
ejpam-6919	179	4	equation	equation	NOUN
ejpam-6919	179	5	(	(	PUNCT
ejpam-6919	179	6	1	1	NUM
ejpam-6919	179	7	)	)	PUNCT
ejpam-6919	179	8	then	then	ADV
ejpam-6919	179	9	the	the	DET
ejpam-6919	179	10	sequence	sequence	NOUN
ejpam-6919	179	11	{	{	PUNCT
ejpam-6919	179	12	%	%	INTJ
ejpam-6919	179	13	i	i	NOUN
ejpam-6919	179	14	}	}	PUNCT
ejpam-6919	179	15	satisfies	satisfy	VERB
ejpam-6919	179	16	:	:	PUNCT
ejpam-6919	179	17	a	a	PRON
ejpam-6919	179	18	(	(	PUNCT
ejpam-6919	179	19	%	%	NOUN
ejpam-6919	179	20	i+2	i+2	X
ejpam-6919	179	21	,	,	PUNCT
ejpam-6919	179	22	%	%	NOUN
ejpam-6919	179	23	i+1	i+1	ADV
ejpam-6919	179	24	,	,	PUNCT
ejpam-6919	179	25	τ	τ	PROPN
ejpam-6919	179	26	)	)	PUNCT
ejpam-6919	179	27	≥	≥	NOUN
ejpam-6919	179	28	ϕ	ϕ	NOUN
ejpam-6919	179	29	(	(	PUNCT
ejpam-6919	179	30	a	a	DET
ejpam-6919	179	31	(	(	PUNCT
ejpam-6919	179	32	%	%	NOUN
ejpam-6919	179	33	i+1	i+1	NOUN
ejpam-6919	179	34	,	,	PUNCT
ejpam-6919	179	35	%	%	INTJ
ejpam-6919	179	36	i	i	PROPN
ejpam-6919	179	37	,	,	PUNCT
ejpam-6919	179	38	τ	τ	PROPN
ejpam-6919	179	39	)	)	PUNCT
ejpam-6919	179	40	)	)	PUNCT
ejpam-6919	179	41	,	,	PUNCT
ejpam-6919	179	42	1−	1−	NUM
ejpam-6919	179	43	b	b	X
ejpam-6919	179	44	(	(	PUNCT
ejpam-6919	179	45	%	%	X
ejpam-6919	179	46	i+2	i+2	X
ejpam-6919	179	47	,	,	PUNCT
ejpam-6919	179	48	%	%	NOUN
ejpam-6919	179	49	i+1	i+1	ADV
ejpam-6919	179	50	,	,	PUNCT
ejpam-6919	179	51	τ	τ	PROPN
ejpam-6919	179	52	)	)	PUNCT
ejpam-6919	179	53	≥	≥	NOUN
ejpam-6919	179	54	ϕ	ϕ	NOUN
ejpam-6919	179	55	(	(	PUNCT
ejpam-6919	179	56	1−	1−	NUM
ejpam-6919	179	57	b	b	NOUN
ejpam-6919	179	58	(	(	PUNCT
ejpam-6919	179	59	%	%	INTJ
ejpam-6919	179	60	i+1	i+1	ADP
ejpam-6919	179	61	,	,	PUNCT
ejpam-6919	179	62	%	%	INTJ
ejpam-6919	179	63	i	i	PROPN
ejpam-6919	179	64	,	,	PUNCT
ejpam-6919	179	65	τ	τ	PROPN
ejpam-6919	179	66	)	)	PUNCT
ejpam-6919	179	67	)	)	PUNCT
ejpam-6919	179	68	,	,	PUNCT
ejpam-6919	179	69	1−	1−	NUM
ejpam-6919	179	70	c	c	X
ejpam-6919	179	71	(	(	PUNCT
ejpam-6919	179	72	%	%	X
ejpam-6919	179	73	i+2	i+2	X
ejpam-6919	179	74	,	,	PUNCT
ejpam-6919	179	75	%	%	NOUN
ejpam-6919	179	76	i+1	i+1	ADV
ejpam-6919	179	77	,	,	PUNCT
ejpam-6919	179	78	τ	τ	PROPN
ejpam-6919	179	79	)	)	PUNCT
ejpam-6919	179	80	≥	≥	NOUN
ejpam-6919	179	81	ϕ	ϕ	NOUN
ejpam-6919	179	82	(	(	PUNCT
ejpam-6919	179	83	1−	1−	NUM
ejpam-6919	179	84	c	c	NOUN
ejpam-6919	179	85	(	(	PUNCT
ejpam-6919	179	86	%	%	INTJ
ejpam-6919	179	87	i+1	i+1	ADV
ejpam-6919	179	88	,	,	PUNCT
ejpam-6919	180	1	%	%	INTJ
ejpam-6919	180	2	i	i	PROPN
ejpam-6919	180	3	,	,	PUNCT
ejpam-6919	180	4	τ	τ	PROPN
ejpam-6919	180	5	)	)	PUNCT
ejpam-6919	180	6	)	)	PUNCT
ejpam-6919	180	7	,	,	PUNCT
ejpam-6919	180	8	∀	∀	PUNCT
ejpam-6919	181	1	i	i	PRON
ejpam-6919	181	2	∈	∈	VERB
ejpam-6919	181	3	n	n	PART
ejpam-6919	181	4	∪	∪	X
ejpam-6919	181	5	{	{	PUNCT
ejpam-6919	181	6	0	0	NUM
ejpam-6919	181	7	}	}	PUNCT
ejpam-6919	181	8	,	,	PUNCT
ejpam-6919	181	9	τ	τ	X
ejpam-6919	181	10	>	>	X
ejpam-6919	181	11	0	0	NUM
ejpam-6919	181	12	.	.	PUNCT
ejpam-6919	182	1	by	by	ADP
ejpam-6919	182	2	iterating	iterate	VERB
ejpam-6919	182	3	the	the	DET
ejpam-6919	182	4	above	above	ADJ
ejpam-6919	182	5	inequality	inequality	NOUN
ejpam-6919	182	6	,	,	PUNCT
ejpam-6919	182	7	it	it	PRON
ejpam-6919	182	8	follows	follow	VERB
ejpam-6919	182	9	that	that	SCONJ
ejpam-6919	182	10	for	for	ADP
ejpam-6919	182	11	every	every	DET
ejpam-6919	182	12	j	j	PROPN
ejpam-6919	182	13	≥	≥	NUM
ejpam-6919	182	14	2	2	NUM
ejpam-6919	182	15	,	,	PUNCT
ejpam-6919	182	16	we	we	PRON
ejpam-6919	182	17	get	get	VERB
ejpam-6919	182	18	a	a	DET
ejpam-6919	182	19	(	(	PUNCT
ejpam-6919	182	20	%	%	NOUN
ejpam-6919	182	21	j+1	j+1	ADJ
ejpam-6919	182	22	,	,	PUNCT
ejpam-6919	182	23	%	%	INTJ
ejpam-6919	182	24	j	j	PROPN
ejpam-6919	182	25	,	,	PUNCT
ejpam-6919	182	26	τ	τ	PROPN
ejpam-6919	182	27	)	)	PUNCT
ejpam-6919	182	28	≥	≥	NOUN
ejpam-6919	182	29	ϕ	ϕ	NOUN
ejpam-6919	182	30	(	(	PUNCT
ejpam-6919	182	31	a	a	DET
ejpam-6919	182	32	(	(	PUNCT
ejpam-6919	182	33	%	%	INTJ
ejpam-6919	182	34	j	j	PROPN
ejpam-6919	182	35	,	,	PUNCT
ejpam-6919	182	36	%	%	INTJ
ejpam-6919	182	37	j−1	j−1	PROPN
ejpam-6919	182	38	,	,	PUNCT
ejpam-6919	182	39	τ	τ	NOUN
ejpam-6919	182	40	)	)	PUNCT
ejpam-6919	182	41	)	)	PUNCT
ejpam-6919	182	42	≥	≥	NOUN
ejpam-6919	183	1	ϕ2	ϕ2	ADV
ejpam-6919	183	2	(	(	PUNCT
ejpam-6919	183	3	a	a	DET
ejpam-6919	183	4	(	(	PUNCT
ejpam-6919	183	5	%	%	NOUN
ejpam-6919	183	6	j−1	j−1	PROPN
ejpam-6919	183	7	,	,	PUNCT
ejpam-6919	183	8	%	%	PROPN
ejpam-6919	183	9	j−2	j−2	PROPN
ejpam-6919	183	10	,	,	PUNCT
ejpam-6919	183	11	τ	τ	PROPN
ejpam-6919	183	12	)	)	PUNCT
ejpam-6919	183	13	)	)	PUNCT
ejpam-6919	183	14	≥	≥	X
ejpam-6919	183	15	·	·	PUNCT
ejpam-6919	183	16	·	·	PUNCT
ejpam-6919	183	17	·	·	PUNCT
ejpam-6919	183	18	≥	≥	NUM
ejpam-6919	183	19	ϕj	ϕj	INTJ
ejpam-6919	183	20	(	(	PUNCT
ejpam-6919	183	21	a	a	DET
ejpam-6919	183	22	(	(	PUNCT
ejpam-6919	183	23	%	%	NOUN
ejpam-6919	183	24	1	1	NUM
ejpam-6919	183	25	,	,	PUNCT
ejpam-6919	183	26	%	%	NOUN
ejpam-6919	183	27	0	0	NUM
ejpam-6919	183	28	,	,	PUNCT
ejpam-6919	183	29	τ	τ	PROPN
ejpam-6919	183	30	)	)	PUNCT
ejpam-6919	183	31	)	)	PUNCT
ejpam-6919	183	32	,	,	PUNCT
ejpam-6919	183	33	1−	1−	NUM
ejpam-6919	183	34	b	b	X
ejpam-6919	183	35	(	(	PUNCT
ejpam-6919	183	36	%	%	NOUN
ejpam-6919	183	37	j+1	j+1	ADJ
ejpam-6919	183	38	,	,	PUNCT
ejpam-6919	183	39	%	%	INTJ
ejpam-6919	183	40	j	j	PROPN
ejpam-6919	183	41	,	,	PUNCT
ejpam-6919	183	42	τ	τ	PROPN
ejpam-6919	183	43	)	)	PUNCT
ejpam-6919	183	44	≥	≥	NOUN
ejpam-6919	183	45	ϕ	ϕ	NOUN
ejpam-6919	183	46	(	(	PUNCT
ejpam-6919	183	47	1−	1−	NUM
ejpam-6919	183	48	b	b	X
ejpam-6919	183	49	(	(	PUNCT
ejpam-6919	183	50	%	%	INTJ
ejpam-6919	183	51	j	j	PROPN
ejpam-6919	183	52	,	,	PUNCT
ejpam-6919	183	53	%	%	INTJ
ejpam-6919	183	54	j−1	j−1	PROPN
ejpam-6919	183	55	,	,	PUNCT
ejpam-6919	183	56	τ	τ	NOUN
ejpam-6919	183	57	)	)	PUNCT
ejpam-6919	183	58	)	)	PUNCT
ejpam-6919	183	59	≥	≥	NOUN
ejpam-6919	183	60	ϕ2	ϕ2	ADV
ejpam-6919	183	61	(	(	PUNCT
ejpam-6919	183	62	1−	1−	NUM
ejpam-6919	183	63	b	b	X
ejpam-6919	183	64	(	(	PUNCT
ejpam-6919	183	65	%	%	INTJ
ejpam-6919	183	66	j−1	j−1	PROPN
ejpam-6919	183	67	,	,	PUNCT
ejpam-6919	183	68	%	%	PROPN
ejpam-6919	183	69	j−2	j−2	PROPN
ejpam-6919	183	70	,	,	PUNCT
ejpam-6919	183	71	τ	τ	PROPN
ejpam-6919	183	72	)	)	PUNCT
ejpam-6919	183	73	)	)	PUNCT
ejpam-6919	183	74	≥	≥	X
ejpam-6919	183	75	·	·	PUNCT
ejpam-6919	183	76	·	·	PUNCT
ejpam-6919	183	77	·	·	PUNCT
ejpam-6919	183	78	≥	≥	NUM
ejpam-6919	183	79	ϕj	ϕj	NOUN
ejpam-6919	183	80	(	(	PUNCT
ejpam-6919	183	81	1−	1−	NUM
ejpam-6919	183	82	b	b	X
ejpam-6919	183	83	(	(	PUNCT
ejpam-6919	183	84	%	%	NOUN
ejpam-6919	183	85	1	1	NUM
ejpam-6919	183	86	,	,	PUNCT
ejpam-6919	183	87	%	%	NOUN
ejpam-6919	183	88	0	0	NUM
ejpam-6919	183	89	,	,	PUNCT
ejpam-6919	183	90	τ	τ	PROPN
ejpam-6919	183	91	)	)	PUNCT
ejpam-6919	183	92	)	)	PUNCT
ejpam-6919	184	1	1−	1−	NUM
ejpam-6919	184	2	c	c	NOUN
ejpam-6919	184	3	(	(	PUNCT
ejpam-6919	184	4	%	%	INTJ
ejpam-6919	184	5	j+1	j+1	ADJ
ejpam-6919	184	6	,	,	PUNCT
ejpam-6919	184	7	%	%	INTJ
ejpam-6919	184	8	j	j	PROPN
ejpam-6919	184	9	,	,	PUNCT
ejpam-6919	184	10	τ	τ	PROPN
ejpam-6919	184	11	)	)	PUNCT
ejpam-6919	184	12	≥	≥	NOUN
ejpam-6919	184	13	ϕ	ϕ	NOUN
ejpam-6919	184	14	(	(	PUNCT
ejpam-6919	184	15	1−	1−	NUM
ejpam-6919	184	16	c	c	NOUN
ejpam-6919	184	17	(	(	PUNCT
ejpam-6919	184	18	%	%	INTJ
ejpam-6919	184	19	j	j	PROPN
ejpam-6919	184	20	,	,	PUNCT
ejpam-6919	184	21	%	%	INTJ
ejpam-6919	184	22	j−1	j−1	PROPN
ejpam-6919	184	23	,	,	PUNCT
ejpam-6919	184	24	τ	τ	NOUN
ejpam-6919	184	25	)	)	PUNCT
ejpam-6919	184	26	)	)	PUNCT
ejpam-6919	184	27	≥	≥	NOUN
ejpam-6919	184	28	ϕ2	ϕ2	ADV
ejpam-6919	184	29	(	(	PUNCT
ejpam-6919	184	30	1−	1−	NUM
ejpam-6919	184	31	c	c	X
ejpam-6919	184	32	(	(	PUNCT
ejpam-6919	184	33	%	%	INTJ
ejpam-6919	184	34	j−1	j−1	NOUN
ejpam-6919	184	35	,	,	PUNCT
ejpam-6919	184	36	%	%	PROPN
ejpam-6919	184	37	j−2	j−2	PROPN
ejpam-6919	184	38	,	,	PUNCT
ejpam-6919	184	39	τ	τ	PROPN
ejpam-6919	184	40	)	)	PUNCT
ejpam-6919	184	41	)	)	PUNCT
ejpam-6919	184	42	≥	≥	X
ejpam-6919	184	43	·	·	PUNCT
ejpam-6919	184	44	·	·	PUNCT
ejpam-6919	184	45	·	·	PUNCT
ejpam-6919	184	46	≥	≥	NUM
ejpam-6919	184	47	ϕj	ϕj	INTJ
ejpam-6919	184	48	(	(	PUNCT
ejpam-6919	184	49	1−	1−	NUM
ejpam-6919	184	50	c	c	NOUN
ejpam-6919	184	51	(	(	PUNCT
ejpam-6919	184	52	%	%	NOUN
ejpam-6919	184	53	1	1	NUM
ejpam-6919	184	54	,	,	PUNCT
ejpam-6919	184	55	%	%	NOUN
ejpam-6919	184	56	0	0	NUM
ejpam-6919	184	57	,	,	PUNCT
ejpam-6919	184	58	τ	τ	PROPN
ejpam-6919	184	59	)	)	PUNCT
ejpam-6919	184	60	)	)	PUNCT
ejpam-6919	184	61	.	.	PUNCT
ejpam-6919	185	1	letting	let	VERB
ejpam-6919	185	2	j	j	PROPN
ejpam-6919	185	3	→	→	SYM
ejpam-6919	185	4	∞	∞	PROPN
ejpam-6919	185	5	and	and	CCONJ
ejpam-6919	185	6	applying	apply	VERB
ejpam-6919	185	7	lemma	lemma	PROPN
ejpam-6919	185	8	(	(	PUNCT
ejpam-6919	185	9	2	2	NUM
ejpam-6919	185	10	)	)	PUNCT
ejpam-6919	185	11	to	to	ADP
ejpam-6919	185	12	the	the	DET
ejpam-6919	185	13	above	above	ADJ
ejpam-6919	185	14	inequalities	inequality	NOUN
ejpam-6919	185	15	,	,	PUNCT
ejpam-6919	185	16	we	we	PRON
ejpam-6919	185	17	obtain	obtain	VERB
ejpam-6919	185	18	lim	lim	PROPN
ejpam-6919	185	19	j→∞	j→∞	NUM
ejpam-6919	185	20	a	a	DET
ejpam-6919	185	21	(	(	PUNCT
ejpam-6919	185	22	%	%	NOUN
ejpam-6919	185	23	j+1	j+1	ADJ
ejpam-6919	185	24	,	,	PUNCT
ejpam-6919	185	25	%	%	INTJ
ejpam-6919	185	26	j	j	PROPN
ejpam-6919	185	27	,	,	PUNCT
ejpam-6919	185	28	τ	τ	PROPN
ejpam-6919	185	29	)	)	PUNCT
ejpam-6919	185	30	≥	≥	PROPN
ejpam-6919	186	1	lim	lim	PROPN
ejpam-6919	186	2	j→∞	j→∞	PROPN
ejpam-6919	187	1	ϕj	ϕj	PROPN
ejpam-6919	187	2	(	(	PUNCT
ejpam-6919	187	3	a	a	PRON
ejpam-6919	187	4	(	(	PUNCT
ejpam-6919	187	5	%	%	NOUN
ejpam-6919	187	6	1	1	NUM
ejpam-6919	187	7	,	,	PUNCT
ejpam-6919	187	8	%	%	NOUN
ejpam-6919	187	9	0	0	NUM
ejpam-6919	187	10	,	,	PUNCT
ejpam-6919	187	11	τ	τ	NOUN
ejpam-6919	187	12	)	)	PUNCT
ejpam-6919	187	13	)	)	PUNCT
ejpam-6919	188	1	=	=	SYM
ejpam-6919	188	2	1	1	NUM
ejpam-6919	188	3	⇒	⇒	NOUN
ejpam-6919	188	4	lim	lim	PROPN
ejpam-6919	188	5	j→∞	j→∞	NUM
ejpam-6919	188	6	a	a	PRON
ejpam-6919	188	7	(	(	PUNCT
ejpam-6919	188	8	%	%	NOUN
ejpam-6919	188	9	j+1	j+1	ADJ
ejpam-6919	188	10	,	,	PUNCT
ejpam-6919	188	11	%	%	INTJ
ejpam-6919	188	12	j	j	PROPN
ejpam-6919	188	13	,	,	PUNCT
ejpam-6919	188	14	τ	τ	PROPN
ejpam-6919	188	15	)	)	PUNCT
ejpam-6919	188	16	=	=	SYM
ejpam-6919	188	17	1	1	NUM
ejpam-6919	188	18	(	(	PUNCT
ejpam-6919	188	19	2	2	NUM
ejpam-6919	188	20	)	)	PUNCT
ejpam-6919	188	21	lim	lim	PROPN
ejpam-6919	188	22	j→∞	j→∞	NOUN
ejpam-6919	189	1	1−	1−	PROPN
ejpam-6919	189	2	b	b	PROPN
ejpam-6919	189	3	(	(	PUNCT
ejpam-6919	189	4	%	%	NOUN
ejpam-6919	189	5	j+1	j+1	ADJ
ejpam-6919	189	6	,	,	PUNCT
ejpam-6919	189	7	%	%	INTJ
ejpam-6919	189	8	j	j	PROPN
ejpam-6919	189	9	,	,	PUNCT
ejpam-6919	189	10	τ	τ	PROPN
ejpam-6919	189	11	)	)	PUNCT
ejpam-6919	189	12	≥	≥	PROPN
ejpam-6919	190	1	lim	lim	PROPN
ejpam-6919	190	2	j→∞	j→∞	PROPN
ejpam-6919	191	1	ϕj	ϕj	PROPN
ejpam-6919	191	2	(	(	PUNCT
ejpam-6919	191	3	1−	1−	NUM
ejpam-6919	191	4	b	b	X
ejpam-6919	191	5	(	(	PUNCT
ejpam-6919	191	6	%	%	NOUN
ejpam-6919	191	7	1	1	NUM
ejpam-6919	191	8	,	,	PUNCT
ejpam-6919	191	9	%	%	NOUN
ejpam-6919	191	10	0	0	NUM
ejpam-6919	191	11	,	,	PUNCT
ejpam-6919	191	12	τ	τ	NOUN
ejpam-6919	191	13	)	)	PUNCT
ejpam-6919	191	14	)	)	PUNCT
ejpam-6919	192	1	=	=	SYM
ejpam-6919	192	2	1	1	NUM
ejpam-6919	192	3	⇒	⇒	NOUN
ejpam-6919	192	4	lim	lim	PROPN
ejpam-6919	192	5	j→∞	j→∞	PROPN
ejpam-6919	192	6	b	b	PROPN
ejpam-6919	192	7	(	(	PUNCT
ejpam-6919	192	8	%	%	NOUN
ejpam-6919	192	9	j+1	j+1	ADJ
ejpam-6919	192	10	,	,	PUNCT
ejpam-6919	192	11	%	%	INTJ
ejpam-6919	192	12	j	j	PROPN
ejpam-6919	192	13	,	,	PUNCT
ejpam-6919	192	14	τ	τ	PROPN
ejpam-6919	192	15	)	)	PUNCT
ejpam-6919	192	16	=	=	SYM
ejpam-6919	192	17	0	0	NUM
ejpam-6919	193	1	(	(	PUNCT
ejpam-6919	193	2	3	3	X
ejpam-6919	193	3	)	)	PUNCT
ejpam-6919	193	4	lim	lim	PROPN
ejpam-6919	193	5	j→∞	j→∞	NOUN
ejpam-6919	194	1	1−	1−	NUM
ejpam-6919	194	2	c	c	NOUN
ejpam-6919	194	3	(	(	PUNCT
ejpam-6919	194	4	%	%	INTJ
ejpam-6919	194	5	j+1	j+1	ADJ
ejpam-6919	194	6	,	,	PUNCT
ejpam-6919	194	7	%	%	INTJ
ejpam-6919	194	8	j	j	PROPN
ejpam-6919	194	9	,	,	PUNCT
ejpam-6919	194	10	τ	τ	PROPN
ejpam-6919	194	11	)	)	PUNCT
ejpam-6919	194	12	≥	≥	PROPN
ejpam-6919	195	1	lim	lim	PROPN
ejpam-6919	195	2	j→∞	j→∞	PROPN
ejpam-6919	195	3	ϕj	ϕj	PROPN
ejpam-6919	195	4	(	(	PUNCT
ejpam-6919	195	5	1−	1−	NUM
ejpam-6919	195	6	c	c	NOUN
ejpam-6919	195	7	(	(	PUNCT
ejpam-6919	195	8	%	%	NOUN
ejpam-6919	195	9	1	1	NUM
ejpam-6919	195	10	,	,	PUNCT
ejpam-6919	195	11	%	%	NOUN
ejpam-6919	195	12	0	0	NUM
ejpam-6919	195	13	,	,	PUNCT
ejpam-6919	195	14	τ	τ	NOUN
ejpam-6919	195	15	)	)	PUNCT
ejpam-6919	195	16	)	)	PUNCT
ejpam-6919	195	17	=	=	SYM
ejpam-6919	195	18	1	1	NUM
ejpam-6919	195	19	⇒	⇒	NOUN
ejpam-6919	195	20	lim	lim	PROPN
ejpam-6919	195	21	j→∞	j→∞	PROPN
ejpam-6919	195	22	c	c	PROPN
ejpam-6919	195	23	(	(	PUNCT
ejpam-6919	195	24	%	%	INTJ
ejpam-6919	195	25	j+1	j+1	ADJ
ejpam-6919	195	26	,	,	PUNCT
ejpam-6919	195	27	%	%	INTJ
ejpam-6919	195	28	j	j	PROPN
ejpam-6919	195	29	,	,	PUNCT
ejpam-6919	195	30	τ	τ	PROPN
ejpam-6919	195	31	)	)	PUNCT
ejpam-6919	195	32	=	=	SYM
ejpam-6919	195	33	0	0	X
ejpam-6919	195	34	.	.	PUNCT
ejpam-6919	195	35	(	(	PUNCT
ejpam-6919	195	36	4	4	NUM
ejpam-6919	195	37	)	)	PUNCT
ejpam-6919	195	38	∀	∀	PUNCT
ejpam-6919	195	39	τ	τ	X
ejpam-6919	195	40	>	>	X
ejpam-6919	195	41	0	0	X
ejpam-6919	195	42	.	.	PUNCT
ejpam-6919	196	1	continuing	continue	VERB
ejpam-6919	196	2	this	this	DET
ejpam-6919	196	3	process	process	NOUN
ejpam-6919	196	4	,	,	PUNCT
ejpam-6919	196	5	we	we	PRON
ejpam-6919	196	6	arrive	arrive	VERB
ejpam-6919	196	7	at	at	ADP
ejpam-6919	196	8	lim	lim	PROPN
ejpam-6919	196	9	j→∞	j→∞	PROPN
ejpam-6919	196	10	a	a	DET
ejpam-6919	196	11	(	(	PUNCT
ejpam-6919	196	12	%	%	NOUN
ejpam-6919	196	13	j+i	j+i	NUM
ejpam-6919	196	14	,	,	PUNCT
ejpam-6919	196	15	%	%	NOUN
ejpam-6919	197	1	j+i−1	j+i−1	PROPN
ejpam-6919	197	2	,	,	PUNCT
ejpam-6919	197	3	τ	τ	PROPN
ejpam-6919	197	4	)	)	PUNCT
ejpam-6919	197	5	=	=	SYM
ejpam-6919	197	6	1	1	NUM
ejpam-6919	197	7	,	,	PUNCT
ejpam-6919	197	8	lim	lim	PROPN
ejpam-6919	197	9	j→∞	j→∞	PROPN
ejpam-6919	197	10	b	b	PROPN
ejpam-6919	197	11	(	(	PUNCT
ejpam-6919	197	12	%	%	NOUN
ejpam-6919	197	13	j+i	j+i	NUM
ejpam-6919	197	14	,	,	PUNCT
ejpam-6919	197	15	%	%	NOUN
ejpam-6919	197	16	j+i−1	j+i−1	PROPN
ejpam-6919	197	17	,	,	PUNCT
ejpam-6919	197	18	τ	τ	PROPN
ejpam-6919	197	19	)	)	PUNCT
ejpam-6919	197	20	=	=	SYM
ejpam-6919	197	21	0	0	PROPN
ejpam-6919	197	22	,	,	PUNCT
ejpam-6919	197	23	lim	lim	PROPN
ejpam-6919	197	24	j→∞	j→∞	NOUN
ejpam-6919	197	25	c	c	PROPN
ejpam-6919	197	26	(	(	PUNCT
ejpam-6919	197	27	%	%	NOUN
ejpam-6919	197	28	j+i	j+i	NUM
ejpam-6919	197	29	,	,	PUNCT
ejpam-6919	197	30	%	%	NOUN
ejpam-6919	197	31	j+i−1	j+i−1	PROPN
ejpam-6919	197	32	,	,	PUNCT
ejpam-6919	197	33	τ	τ	PROPN
ejpam-6919	197	34	)	)	PUNCT
ejpam-6919	197	35	=	=	SYM
ejpam-6919	197	36	0	0	NUM
ejpam-6919	197	37	∀	∀	X
ejpam-6919	197	38	τ	τ	X
ejpam-6919	197	39	>	>	X
ejpam-6919	197	40	0	0	PROPN
ejpam-6919	197	41	,	,	PUNCT
ejpam-6919	197	42	i	i	PRON
ejpam-6919	197	43	≥	≥	VERB
ejpam-6919	197	44	1	1	NUM
ejpam-6919	197	45	.	.	PUNCT
ejpam-6919	198	1	(	(	PUNCT
ejpam-6919	198	2	5	5	X
ejpam-6919	198	3	)	)	PUNCT
ejpam-6919	198	4	next	next	ADV
ejpam-6919	198	5	we	we	PRON
ejpam-6919	198	6	show	show	VERB
ejpam-6919	198	7	that	that	SCONJ
ejpam-6919	198	8	{	{	PUNCT
ejpam-6919	198	9	%	%	INTJ
ejpam-6919	198	10	r	r	X
ejpam-6919	198	11	}	}	PUNCT
ejpam-6919	198	12	is	be	AUX
ejpam-6919	198	13	a	a	DET
ejpam-6919	198	14	cauchy	cauchy	ADJ
ejpam-6919	198	15	sequence	sequence	NOUN
ejpam-6919	198	16	in	in	ADP
ejpam-6919	198	17	(	(	PUNCT
ejpam-6919	198	18	ξ	ξ	PROPN
ejpam-6919	198	19	,	,	PUNCT
ejpam-6919	198	20	a	a	DET
ejpam-6919	198	21	,	,	PUNCT
ejpam-6919	198	22	b	b	NOUN
ejpam-6919	198	23	,	,	PUNCT
ejpam-6919	198	24	c	c	X
ejpam-6919	198	25	,	,	PUNCT
ejpam-6919	198	26	f	f	PROPN
ejpam-6919	198	27	,	,	PUNCT
ejpam-6919	198	28	λ	λ	PROPN
ejpam-6919	198	29	,	,	PUNCT
ejpam-6919	198	30	?	?	PUNCT
ejpam-6919	198	31	)	)	PUNCT
ejpam-6919	198	32	.	.	PUNCT
ejpam-6919	199	1	now	now	ADV
ejpam-6919	199	2	using	use	VERB
ejpam-6919	199	3	the	the	DET
ejpam-6919	199	4	inequality	inequality	NOUN
ejpam-6919	199	5	(	(	PUNCT
ejpam-6919	199	6	n5	n5	PROPN
ejpam-6919	199	7	)	)	PUNCT
ejpam-6919	199	8	,	,	PUNCT
ejpam-6919	199	9	(	(	PUNCT
ejpam-6919	199	10	n10	n10	X
ejpam-6919	199	11	)	)	PUNCT
ejpam-6919	199	12	,	,	PUNCT
ejpam-6919	199	13	(	(	PUNCT
ejpam-6919	199	14	n15	n15	PROPN
ejpam-6919	199	15	)	)	PUNCT
ejpam-6919	199	16	,	,	PUNCT
ejpam-6919	199	17	for	for	ADP
ejpam-6919	199	18	every	every	DET
ejpam-6919	199	19	j	j	PROPN
ejpam-6919	199	20	∈	∈	PROPN
ejpam-6919	199	21	n	n	NOUN
ejpam-6919	199	22	and	and	CCONJ
ejpam-6919	199	23	p	p	NOUN
ejpam-6919	199	24	=	=	NOUN
ejpam-6919	199	25	1	1	NUM
ejpam-6919	199	26	,	,	PUNCT
ejpam-6919	199	27	2	2	NUM
ejpam-6919	199	28	,	,	PUNCT
ejpam-6919	199	29	3	3	NUM
ejpam-6919	199	30	,	,	PUNCT
ejpam-6919	199	31	.	.	PUNCT
ejpam-6919	199	32	.	.	PUNCT
ejpam-6919	200	1	.	.	PUNCT
ejpam-6919	201	1	,	,	PUNCT
ejpam-6919	201	2	we	we	PRON
ejpam-6919	201	3	get	get	VERB
ejpam-6919	201	4	(	(	PUNCT
ejpam-6919	201	5	f	f	X
ejpam-6919	201	6	(	(	PUNCT
ejpam-6919	201	7	a	a	DET
ejpam-6919	201	8	(	(	PUNCT
ejpam-6919	201	9	%	%	NOUN
ejpam-6919	201	10	j+p	j+p	PROPN
ejpam-6919	201	11	,	,	PUNCT
ejpam-6919	201	12	%	%	INTJ
ejpam-6919	201	13	j	j	PROPN
ejpam-6919	201	14	,	,	PUNCT
ejpam-6919	201	15	τ	τ	PROPN
ejpam-6919	201	16	)	)	PUNCT
ejpam-6919	201	17	)	)	PUNCT
ejpam-6919	201	18	)	)	PUNCT
ejpam-6919	202	1	λ	λ	PROPN
ejpam-6919	202	2	m.	m.	NOUN
ejpam-6919	202	3	pandiselvi	pandiselvi	PROPN
ejpam-6919	202	4	,	,	PUNCT
ejpam-6919	202	5	m.	m.	NOUN
ejpam-6919	202	6	jeyaraman	jeyaraman	PROPN
ejpam-6919	202	7	,	,	PUNCT
ejpam-6919	202	8	m.	m.	NOUN
ejpam-6919	202	9	akram	akram	PROPN
ejpam-6919	202	10	/	/	PUNCT
ejpam-6919	202	11	eur	eur	PROPN
ejpam-6919	202	12	.	.	PUNCT
ejpam-6919	203	1	j.	j.	PROPN
ejpam-6919	203	2	pure	pure	PROPN
ejpam-6919	203	3	appl	appl	PROPN
ejpam-6919	203	4	.	.	PROPN
ejpam-6919	203	5	math	math	PROPN
ejpam-6919	203	6	,	,	PUNCT
ejpam-6919	203	7	18	18	NUM
ejpam-6919	203	8	(	(	PUNCT
ejpam-6919	203	9	4	4	NUM
ejpam-6919	203	10	)	)	PUNCT
ejpam-6919	203	11	(	(	PUNCT
ejpam-6919	203	12	2025	2025	NUM
ejpam-6919	203	13	)	)	PUNCT
ejpam-6919	203	14	,	,	PUNCT
ejpam-6919	203	15	6919	6919	NUM
ejpam-6919	203	16	7	7	NUM
ejpam-6919	203	17	of	of	ADP
ejpam-6919	203	18	16	16	NUM
ejpam-6919	203	19	≥	≥	NOUN
ejpam-6919	203	20	f	f	PROPN
ejpam-6919	203	21	(	(	PUNCT
ejpam-6919	203	22	a	a	DET
ejpam-6919	203	23	(	(	PUNCT
ejpam-6919	203	24	%	%	INTJ
ejpam-6919	203	25	j+p	j+p	X
ejpam-6919	203	26	,	,	PUNCT
ejpam-6919	203	27	%	%	INTJ
ejpam-6919	204	1	j+p−1	j+p−1	NOUN
ejpam-6919	204	2	,	,	PUNCT
ejpam-6919	204	3	τ	τ	PROPN
ejpam-6919	204	4	p	p	NOUN
ejpam-6919	204	5	)	)	PUNCT
ejpam-6919	204	6	?	?	PUNCT
ejpam-6919	204	7	·	·	PUNCT
ejpam-6919	204	8	·	·	PUNCT
ejpam-6919	204	9	·	·	PUNCT
ejpam-6919	204	10	?	?	PUNCT
ejpam-6919	205	1	a	a	DET
ejpam-6919	205	2	(	(	PUNCT
ejpam-6919	205	3	%	%	NOUN
ejpam-6919	205	4	j+2	j+2	PROPN
ejpam-6919	205	5	,	,	PUNCT
ejpam-6919	205	6	%	%	NOUN
ejpam-6919	205	7	j+1	j+1	PROPN
ejpam-6919	205	8	,	,	PUNCT
ejpam-6919	205	9	τ	τ	PROPN
ejpam-6919	205	10	p	p	NOUN
ejpam-6919	205	11	)	)	PUNCT
ejpam-6919	205	12	?	?	PUNCT
ejpam-6919	206	1	a	a	DET
ejpam-6919	206	2	(	(	PUNCT
ejpam-6919	206	3	%	%	NOUN
ejpam-6919	206	4	j+1	j+1	ADJ
ejpam-6919	206	5	,	,	PUNCT
ejpam-6919	206	6	%	%	INTJ
ejpam-6919	206	7	j	j	PROPN
ejpam-6919	206	8	,	,	PUNCT
ejpam-6919	206	9	τ	τ	PROPN
ejpam-6919	206	10	p	p	NOUN
ejpam-6919	206	11	)	)	PUNCT
ejpam-6919	206	12	)	)	PUNCT
ejpam-6919	206	13	,	,	PUNCT
ejpam-6919	206	14	(	(	PUNCT
ejpam-6919	206	15	6	6	NUM
ejpam-6919	206	16	)	)	PUNCT
ejpam-6919	206	17	(	(	PUNCT
ejpam-6919	206	18	f	f	X
ejpam-6919	206	19	(	(	PUNCT
ejpam-6919	206	20	1−	1−	NUM
ejpam-6919	206	21	b	b	X
ejpam-6919	206	22	(	(	PUNCT
ejpam-6919	206	23	%	%	INTJ
ejpam-6919	206	24	j+p	j+p	PROPN
ejpam-6919	206	25	,	,	PUNCT
ejpam-6919	206	26	%	%	INTJ
ejpam-6919	206	27	j	j	PROPN
ejpam-6919	206	28	,	,	PUNCT
ejpam-6919	206	29	τ	τ	PROPN
ejpam-6919	206	30	)	)	PUNCT
ejpam-6919	206	31	)	)	PUNCT
ejpam-6919	206	32	)	)	PUNCT
ejpam-6919	207	1	λ	λ	PROPN
ejpam-6919	207	2	≥	≥	NUM
ejpam-6919	207	3	f	f	PROPN
ejpam-6919	207	4	(	(	PUNCT
ejpam-6919	207	5	1−	1−	NUM
ejpam-6919	207	6	{	{	PUNCT
ejpam-6919	207	7	b	b	PROPN
ejpam-6919	207	8	(	(	PUNCT
ejpam-6919	207	9	%	%	INTJ
ejpam-6919	207	10	j+p	j+p	X
ejpam-6919	207	11	,	,	PUNCT
ejpam-6919	208	1	%	%	INTJ
ejpam-6919	209	1	j+p−1	j+p−1	NOUN
ejpam-6919	209	2	,	,	PUNCT
ejpam-6919	209	3	τ	τ	PROPN
ejpam-6919	209	4	p	p	NOUN
ejpam-6919	209	5	)	)	PUNCT
ejpam-6919	209	6	♦	♦	PROPN
ejpam-6919	209	7	·	·	PUNCT
ejpam-6919	209	8	·	·	PUNCT
ejpam-6919	209	9	·	·	PUNCT
ejpam-6919	209	10	♦	♦	PROPN
ejpam-6919	209	11	b	b	PROPN
ejpam-6919	209	12	(	(	PUNCT
ejpam-6919	209	13	%	%	INTJ
ejpam-6919	209	14	j+2	j+2	PROPN
ejpam-6919	209	15	,	,	PUNCT
ejpam-6919	209	16	%	%	NOUN
ejpam-6919	209	17	j+1	j+1	PROPN
ejpam-6919	209	18	,	,	PUNCT
ejpam-6919	209	19	τ	τ	PROPN
ejpam-6919	209	20	p	p	NOUN
ejpam-6919	209	21	)	)	PUNCT
ejpam-6919	209	22	♦	♦	PROPN
ejpam-6919	209	23	b	b	PROPN
ejpam-6919	209	24	(	(	PUNCT
ejpam-6919	209	25	%	%	INTJ
ejpam-6919	209	26	j+1	j+1	ADJ
ejpam-6919	209	27	,	,	PUNCT
ejpam-6919	209	28	%	%	INTJ
ejpam-6919	209	29	j	j	PROPN
ejpam-6919	209	30	,	,	PUNCT
ejpam-6919	209	31	τ	τ	PROPN
ejpam-6919	209	32	p	p	NOUN
ejpam-6919	209	33	)	)	PUNCT
ejpam-6919	209	34	}	}	PUNCT
ejpam-6919	209	35	)	)	PUNCT
ejpam-6919	209	36	(	(	PUNCT
ejpam-6919	209	37	7	7	X
ejpam-6919	209	38	)	)	PUNCT
ejpam-6919	209	39	(	(	PUNCT
ejpam-6919	209	40	f	f	X
ejpam-6919	209	41	(	(	PUNCT
ejpam-6919	209	42	1−	1−	NUM
ejpam-6919	209	43	c	c	NOUN
ejpam-6919	209	44	(	(	PUNCT
ejpam-6919	209	45	%	%	INTJ
ejpam-6919	209	46	j+p	j+p	PROPN
ejpam-6919	209	47	,	,	PUNCT
ejpam-6919	209	48	%	%	INTJ
ejpam-6919	209	49	j	j	PROPN
ejpam-6919	209	50	,	,	PUNCT
ejpam-6919	209	51	τ	τ	PROPN
ejpam-6919	209	52	)	)	PUNCT
ejpam-6919	209	53	)	)	PUNCT
ejpam-6919	209	54	)	)	PUNCT
ejpam-6919	210	1	λ	λ	PROPN
ejpam-6919	210	2	≥	≥	NUM
ejpam-6919	210	3	f	f	X
ejpam-6919	210	4	(	(	PUNCT
ejpam-6919	210	5	1−	1−	NUM
ejpam-6919	210	6	{	{	PUNCT
ejpam-6919	210	7	c	c	PROPN
ejpam-6919	210	8	(	(	PUNCT
ejpam-6919	210	9	%	%	INTJ
ejpam-6919	210	10	j+p	j+p	X
ejpam-6919	210	11	,	,	PUNCT
ejpam-6919	211	1	%	%	INTJ
ejpam-6919	212	1	j+p−1	j+p−1	NOUN
ejpam-6919	212	2	,	,	PUNCT
ejpam-6919	212	3	τ	τ	PROPN
ejpam-6919	212	4	p	p	NOUN
ejpam-6919	212	5	)	)	PUNCT
ejpam-6919	212	6	♦	♦	PROPN
ejpam-6919	212	7	·	·	PUNCT
ejpam-6919	212	8	·	·	PUNCT
ejpam-6919	212	9	·	·	PUNCT
ejpam-6919	212	10	♦	♦	PROPN
ejpam-6919	212	11	c	c	PROPN
ejpam-6919	212	12	(	(	PUNCT
ejpam-6919	212	13	%	%	INTJ
ejpam-6919	212	14	j+2	j+2	PROPN
ejpam-6919	212	15	,	,	PUNCT
ejpam-6919	212	16	%	%	NOUN
ejpam-6919	212	17	j+1	j+1	PROPN
ejpam-6919	212	18	,	,	PUNCT
ejpam-6919	212	19	τ	τ	PROPN
ejpam-6919	212	20	p	p	NOUN
ejpam-6919	212	21	)	)	PUNCT
ejpam-6919	212	22	♦	♦	PROPN
ejpam-6919	212	23	c	c	PROPN
ejpam-6919	212	24	(	(	PUNCT
ejpam-6919	212	25	%	%	INTJ
ejpam-6919	212	26	j+1	j+1	ADJ
ejpam-6919	212	27	,	,	PUNCT
ejpam-6919	212	28	%	%	INTJ
ejpam-6919	212	29	j	j	PROPN
ejpam-6919	212	30	,	,	PUNCT
ejpam-6919	212	31	τ	τ	PROPN
ejpam-6919	212	32	p	p	NOUN
ejpam-6919	212	33	)	)	PUNCT
ejpam-6919	212	34	}	}	PUNCT
ejpam-6919	212	35	)	)	PUNCT
ejpam-6919	212	36	(	(	PUNCT
ejpam-6919	212	37	8)	8)	NUM
ejpam-6919	212	38	applying	apply	VERB
ejpam-6919	212	39	the	the	DET
ejpam-6919	212	40	relation	relation	NOUN
ejpam-6919	212	41	(	(	PUNCT
ejpam-6919	212	42	5	5	NUM
ejpam-6919	212	43	)	)	PUNCT
ejpam-6919	212	44	on	on	ADP
ejpam-6919	212	45	(	(	PUNCT
ejpam-6919	212	46	6	6	NUM
ejpam-6919	212	47	)	)	PUNCT
ejpam-6919	212	48	,	,	PUNCT
ejpam-6919	212	49	(	(	PUNCT
ejpam-6919	212	50	7	7	X
ejpam-6919	212	51	)	)	PUNCT
ejpam-6919	212	52	and	and	CCONJ
ejpam-6919	212	53	(	(	PUNCT
ejpam-6919	212	54	8)	8)	NUM
ejpam-6919	212	55	we	we	PRON
ejpam-6919	212	56	get	get	VERB
ejpam-6919	212	57	lim	lim	PROPN
ejpam-6919	212	58	j→∞	j→∞	PROPN
ejpam-6919	212	59	{	{	PUNCT
ejpam-6919	212	60	a	a	PROPN
ejpam-6919	212	61	(	(	PUNCT
ejpam-6919	212	62	%	%	INTJ
ejpam-6919	212	63	j+p	j+p	X
ejpam-6919	212	64	,	,	PUNCT
ejpam-6919	212	65	%	%	INTJ
ejpam-6919	212	66	j+p−1	j+p−1	NOUN
ejpam-6919	212	67	,	,	PUNCT
ejpam-6919	212	68	τ	τ	PROPN
ejpam-6919	212	69	p	p	NOUN
ejpam-6919	212	70	)	)	PUNCT
ejpam-6919	212	71	?	?	PUNCT
ejpam-6919	212	72	·	·	PUNCT
ejpam-6919	212	73	·	·	PUNCT
ejpam-6919	212	74	·	·	PUNCT
ejpam-6919	212	75	?	?	PUNCT
ejpam-6919	213	1	a	a	DET
ejpam-6919	213	2	(	(	PUNCT
ejpam-6919	213	3	%	%	NOUN
ejpam-6919	213	4	j+1	j+1	ADJ
ejpam-6919	213	5	,	,	PUNCT
ejpam-6919	213	6	%	%	INTJ
ejpam-6919	213	7	j	j	PROPN
ejpam-6919	213	8	,	,	PUNCT
ejpam-6919	213	9	τ	τ	PROPN
ejpam-6919	213	10	p	p	NOUN
ejpam-6919	213	11	)	)	PUNCT
ejpam-6919	213	12	}	}	PUNCT
ejpam-6919	213	13	=	=	SYM
ejpam-6919	213	14	1	1	NUM
ejpam-6919	213	15	,	,	PUNCT
ejpam-6919	213	16	lim	lim	PROPN
ejpam-6919	213	17	j→∞	j→∞	NOUN
ejpam-6919	213	18	{	{	PUNCT
ejpam-6919	213	19	b	b	PROPN
ejpam-6919	213	20	(	(	PUNCT
ejpam-6919	213	21	%	%	INTJ
ejpam-6919	213	22	j+p	j+p	X
ejpam-6919	213	23	,	,	PUNCT
ejpam-6919	213	24	%	%	INTJ
ejpam-6919	213	25	j+p−1	j+p−1	NOUN
ejpam-6919	213	26	,	,	PUNCT
ejpam-6919	213	27	τ	τ	PROPN
ejpam-6919	213	28	p	p	NOUN
ejpam-6919	213	29	)	)	PUNCT
ejpam-6919	213	30	♦	♦	PROPN
ejpam-6919	213	31	·	·	PUNCT
ejpam-6919	213	32	·	·	PUNCT
ejpam-6919	213	33	·	·	PUNCT
ejpam-6919	213	34	♦	♦	PROPN
ejpam-6919	213	35	b	b	PROPN
ejpam-6919	213	36	(	(	PUNCT
ejpam-6919	213	37	%	%	INTJ
ejpam-6919	213	38	j+1	j+1	ADJ
ejpam-6919	213	39	,	,	PUNCT
ejpam-6919	213	40	%	%	INTJ
ejpam-6919	213	41	j	j	PROPN
ejpam-6919	213	42	,	,	PUNCT
ejpam-6919	213	43	τ	τ	PROPN
ejpam-6919	213	44	p	p	NOUN
ejpam-6919	213	45	)	)	PUNCT
ejpam-6919	213	46	}	}	PUNCT
ejpam-6919	213	47	=	=	SYM
ejpam-6919	213	48	0	0	PUNCT
ejpam-6919	213	49	and	and	CCONJ
ejpam-6919	213	50	lim	lim	PROPN
ejpam-6919	213	51	j→∞	j→∞	PROPN
ejpam-6919	213	52	{	{	PUNCT
ejpam-6919	213	53	c	c	PROPN
ejpam-6919	213	54	(	(	PUNCT
ejpam-6919	213	55	%	%	INTJ
ejpam-6919	213	56	j+p	j+p	X
ejpam-6919	213	57	,	,	PUNCT
ejpam-6919	213	58	%	%	INTJ
ejpam-6919	213	59	j+p−1	j+p−1	NOUN
ejpam-6919	213	60	,	,	PUNCT
ejpam-6919	213	61	τ	τ	PROPN
ejpam-6919	213	62	p	p	NOUN
ejpam-6919	213	63	)	)	PUNCT
ejpam-6919	213	64	♦	♦	PROPN
ejpam-6919	213	65	·	·	PUNCT
ejpam-6919	213	66	·	·	PUNCT
ejpam-6919	213	67	·	·	PUNCT
ejpam-6919	213	68	♦	♦	PROPN
ejpam-6919	213	69	c	c	PROPN
ejpam-6919	213	70	(	(	PUNCT
ejpam-6919	213	71	%	%	INTJ
ejpam-6919	213	72	j+1	j+1	ADJ
ejpam-6919	213	73	,	,	PUNCT
ejpam-6919	213	74	%	%	INTJ
ejpam-6919	213	75	j	j	PROPN
ejpam-6919	213	76	,	,	PUNCT
ejpam-6919	213	77	τ	τ	PROPN
ejpam-6919	213	78	p	p	NOUN
ejpam-6919	213	79	)	)	PUNCT
ejpam-6919	213	80	}	}	PUNCT
ejpam-6919	213	81	=	=	SYM
ejpam-6919	213	82	0	0	NUM
ejpam-6919	213	83	,	,	PUNCT
ejpam-6919	213	84	∀	∀	X
ejpam-6919	213	85	τ	τ	X
ejpam-6919	213	86	>	>	X
ejpam-6919	213	87	0	0	PROPN
ejpam-6919	213	88	,	,	PUNCT
ejpam-6919	213	89	p	p	NOUN
ejpam-6919	213	90	=	=	NOUN
ejpam-6919	213	91	1	1	NUM
ejpam-6919	213	92	,	,	PUNCT
ejpam-6919	213	93	2	2	NUM
ejpam-6919	213	94	,	,	PUNCT
ejpam-6919	213	95	3	3	NUM
ejpam-6919	213	96	,	,	PUNCT
ejpam-6919	213	97	.	.	PUNCT
ejpam-6919	213	98	.	.	PUNCT
ejpam-6919	213	99	.	.	PUNCT
ejpam-6919	214	1	it	it	PRON
ejpam-6919	214	2	follows	follow	VERB
ejpam-6919	214	3	that	that	SCONJ
ejpam-6919	214	4	lim	lim	PROPN
ejpam-6919	214	5	j→∞	j→∞	NOUN
ejpam-6919	214	6	(	(	PUNCT
ejpam-6919	214	7	f	f	PROPN
ejpam-6919	214	8	(	(	PUNCT
ejpam-6919	214	9	a	a	DET
ejpam-6919	214	10	(	(	PUNCT
ejpam-6919	214	11	%	%	NOUN
ejpam-6919	214	12	j+p	j+p	PROPN
ejpam-6919	214	13	,	,	PUNCT
ejpam-6919	214	14	%	%	INTJ
ejpam-6919	214	15	j	j	PROPN
ejpam-6919	214	16	,	,	PUNCT
ejpam-6919	214	17	τ	τ	PROPN
ejpam-6919	214	18	)	)	PUNCT
ejpam-6919	214	19	)	)	PUNCT
ejpam-6919	214	20	)	)	PUNCT
ejpam-6919	215	1	λ	λ	NOUN
ejpam-6919	215	2	≥	≥	NUM
ejpam-6919	215	3	1	1	NUM
ejpam-6919	215	4	,	,	PUNCT
ejpam-6919	215	5	lim	lim	PROPN
ejpam-6919	215	6	j→∞	j→∞	NOUN
ejpam-6919	215	7	(	(	PUNCT
ejpam-6919	215	8	f	f	PROPN
ejpam-6919	215	9	(	(	PUNCT
ejpam-6919	215	10	1−	1−	NUM
ejpam-6919	215	11	b	b	X
ejpam-6919	215	12	(	(	PUNCT
ejpam-6919	215	13	%	%	INTJ
ejpam-6919	215	14	j+p	j+p	PROPN
ejpam-6919	215	15	,	,	PUNCT
ejpam-6919	215	16	%	%	INTJ
ejpam-6919	215	17	j	j	PROPN
ejpam-6919	215	18	,	,	PUNCT
ejpam-6919	215	19	τ	τ	PROPN
ejpam-6919	215	20	)	)	PUNCT
ejpam-6919	215	21	)	)	PUNCT
ejpam-6919	215	22	)	)	PUNCT
ejpam-6919	216	1	λ	λ	NOUN
ejpam-6919	216	2	≥	≥	NOUN
ejpam-6919	216	3	1	1	NUM
ejpam-6919	216	4	and	and	CCONJ
ejpam-6919	216	5	lim	lim	PROPN
ejpam-6919	216	6	j→∞	j→∞	PROPN
ejpam-6919	216	7	(	(	PUNCT
ejpam-6919	216	8	f	f	PROPN
ejpam-6919	216	9	(	(	PUNCT
ejpam-6919	216	10	1−	1−	NUM
ejpam-6919	216	11	c	c	NOUN
ejpam-6919	216	12	(	(	PUNCT
ejpam-6919	216	13	%	%	INTJ
ejpam-6919	216	14	j+p	j+p	PROPN
ejpam-6919	216	15	,	,	PUNCT
ejpam-6919	216	16	%	%	INTJ
ejpam-6919	216	17	j	j	PROPN
ejpam-6919	216	18	,	,	PUNCT
ejpam-6919	216	19	τ	τ	PROPN
ejpam-6919	216	20	)	)	PUNCT
ejpam-6919	216	21	)	)	PUNCT
ejpam-6919	216	22	)	)	PUNCT
ejpam-6919	217	1	λ	λ	NOUN
ejpam-6919	217	2	≥	≥	NOUN
ejpam-6919	217	3	1	1	NUM
ejpam-6919	217	4	lim	lim	NOUN
ejpam-6919	217	5	j→∞	j→∞	NOUN
ejpam-6919	217	6	(	(	PUNCT
ejpam-6919	217	7	f	f	PROPN
ejpam-6919	217	8	(	(	PUNCT
ejpam-6919	217	9	a	a	DET
ejpam-6919	217	10	(	(	PUNCT
ejpam-6919	217	11	%	%	NOUN
ejpam-6919	217	12	j+p	j+p	PROPN
ejpam-6919	217	13	,	,	PUNCT
ejpam-6919	217	14	%	%	INTJ
ejpam-6919	217	15	j	j	PROPN
ejpam-6919	217	16	,	,	PUNCT
ejpam-6919	217	17	τ	τ	PROPN
ejpam-6919	217	18	)	)	PUNCT
ejpam-6919	217	19	)	)	PUNCT
ejpam-6919	217	20	)	)	PUNCT
ejpam-6919	218	1	=	=	SYM
ejpam-6919	218	2	1	1	X
ejpam-6919	218	3	,	,	PUNCT
ejpam-6919	218	4	lim	lim	PROPN
ejpam-6919	218	5	j→∞	j→∞	NOUN
ejpam-6919	218	6	(	(	PUNCT
ejpam-6919	218	7	f	f	PROPN
ejpam-6919	218	8	(	(	PUNCT
ejpam-6919	218	9	1−	1−	NUM
ejpam-6919	218	10	b	b	X
ejpam-6919	218	11	(	(	PUNCT
ejpam-6919	218	12	%	%	INTJ
ejpam-6919	218	13	j+p	j+p	PROPN
ejpam-6919	218	14	,	,	PUNCT
ejpam-6919	218	15	%	%	INTJ
ejpam-6919	218	16	j	j	PROPN
ejpam-6919	218	17	,	,	PUNCT
ejpam-6919	218	18	τ	τ	PROPN
ejpam-6919	218	19	)	)	PUNCT
ejpam-6919	218	20	)	)	PUNCT
ejpam-6919	218	21	)	)	PUNCT
ejpam-6919	219	1	=	=	SYM
ejpam-6919	219	2	1	1	NUM
ejpam-6919	219	3	and	and	CCONJ
ejpam-6919	219	4	lim	lim	PROPN
ejpam-6919	219	5	j→∞	j→∞	PROPN
ejpam-6919	219	6	(	(	PUNCT
ejpam-6919	219	7	f	f	PROPN
ejpam-6919	219	8	(	(	PUNCT
ejpam-6919	219	9	1−	1−	NUM
ejpam-6919	219	10	c	c	NOUN
ejpam-6919	219	11	(	(	PUNCT
ejpam-6919	219	12	%	%	INTJ
ejpam-6919	219	13	j+p	j+p	PROPN
ejpam-6919	219	14	,	,	PUNCT
ejpam-6919	219	15	%	%	INTJ
ejpam-6919	219	16	j	j	PROPN
ejpam-6919	219	17	,	,	PUNCT
ejpam-6919	219	18	τ	τ	PROPN
ejpam-6919	219	19	)	)	PUNCT
ejpam-6919	219	20	)	)	PUNCT
ejpam-6919	219	21	)	)	PUNCT
ejpam-6919	220	1	=	=	PUNCT
ejpam-6919	220	2	1	1	X
ejpam-6919	220	3	.	.	X
ejpam-6919	220	4	therefore	therefore	ADV
ejpam-6919	220	5	lim	lim	PROPN
ejpam-6919	220	6	j→∞	j→∞	PROPN
ejpam-6919	220	7	a	a	DET
ejpam-6919	220	8	(	(	PUNCT
ejpam-6919	220	9	%	%	INTJ
ejpam-6919	220	10	j+p	j+p	PROPN
ejpam-6919	220	11	,	,	PUNCT
ejpam-6919	220	12	%	%	INTJ
ejpam-6919	220	13	j	j	PROPN
ejpam-6919	220	14	,	,	PUNCT
ejpam-6919	220	15	τ	τ	PROPN
ejpam-6919	220	16	)	)	PUNCT
ejpam-6919	220	17	=	=	SYM
ejpam-6919	220	18	1	1	NUM
ejpam-6919	220	19	,	,	PUNCT
ejpam-6919	220	20	lim	lim	PROPN
ejpam-6919	220	21	j→∞	j→∞	PROPN
ejpam-6919	220	22	b	b	PROPN
ejpam-6919	220	23	(	(	PUNCT
ejpam-6919	220	24	%	%	INTJ
ejpam-6919	220	25	j+p	j+p	PROPN
ejpam-6919	220	26	,	,	PUNCT
ejpam-6919	220	27	%	%	INTJ
ejpam-6919	220	28	j	j	PROPN
ejpam-6919	220	29	,	,	PUNCT
ejpam-6919	220	30	τ	τ	PROPN
ejpam-6919	220	31	)	)	PUNCT
ejpam-6919	220	32	=	=	SYM
ejpam-6919	220	33	0	0	NUM
ejpam-6919	220	34	,	,	PUNCT
ejpam-6919	220	35	and	and	CCONJ
ejpam-6919	220	36	lim	lim	PROPN
ejpam-6919	220	37	j→∞	j→∞	PROPN
ejpam-6919	220	38	c	c	PROPN
ejpam-6919	220	39	(	(	PUNCT
ejpam-6919	220	40	%	%	INTJ
ejpam-6919	220	41	j+p	j+p	PROPN
ejpam-6919	220	42	,	,	PUNCT
ejpam-6919	220	43	%	%	INTJ
ejpam-6919	220	44	j	j	PROPN
ejpam-6919	220	45	,	,	PUNCT
ejpam-6919	220	46	τ	τ	PROPN
ejpam-6919	220	47	)	)	PUNCT
ejpam-6919	220	48	=	=	SYM
ejpam-6919	220	49	0	0	NUM
ejpam-6919	220	50	∀	∀	X
ejpam-6919	220	51	τ	τ	X
ejpam-6919	220	52	>	>	X
ejpam-6919	220	53	0	0	PROPN
ejpam-6919	220	54	.	.	PUNCT
ejpam-6919	221	1	this	this	PRON
ejpam-6919	221	2	shows	show	VERB
ejpam-6919	221	3	that	that	SCONJ
ejpam-6919	221	4	{	{	PUNCT
ejpam-6919	221	5	%	%	INTJ
ejpam-6919	221	6	j	j	NOUN
ejpam-6919	221	7	}	}	PUNCT
ejpam-6919	221	8	forms	form	VERB
ejpam-6919	221	9	a	a	DET
ejpam-6919	221	10	cauchy	cauchy	ADJ
ejpam-6919	221	11	sequence	sequence	NOUN
ejpam-6919	221	12	in	in	ADP
ejpam-6919	221	13	(	(	PUNCT
ejpam-6919	221	14	ξ	ξ	PROPN
ejpam-6919	221	15	,	,	PUNCT
ejpam-6919	221	16	a	a	DET
ejpam-6919	221	17	,	,	PUNCT
ejpam-6919	221	18	b	b	NOUN
ejpam-6919	221	19	,	,	PUNCT
ejpam-6919	221	20	c	c	X
ejpam-6919	221	21	,	,	PUNCT
ejpam-6919	221	22	f	f	PROPN
ejpam-6919	221	23	,	,	PUNCT
ejpam-6919	221	24	λ	λ	PROPN
ejpam-6919	221	25	,	,	PUNCT
ejpam-6919	221	26	?	?	PUNCT
ejpam-6919	221	27	,	,	PUNCT
ejpam-6919	221	28	♦	♦	PROPN
ejpam-6919	221	29	)	)	PUNCT
ejpam-6919	221	30	.	.	PUNCT
ejpam-6919	222	1	since	since	SCONJ
ejpam-6919	222	2	ξ	ξ	PROPN
ejpam-6919	222	3	is	be	AUX
ejpam-6919	222	4	complete	complete	ADJ
ejpam-6919	222	5	,	,	PUNCT
ejpam-6919	222	6	so	so	CCONJ
ejpam-6919	222	7	{	{	PUNCT
ejpam-6919	222	8	%	%	INTJ
ejpam-6919	222	9	j	j	X
ejpam-6919	222	10	}	}	PUNCT
ejpam-6919	222	11	converges	converge	VERB
ejpam-6919	222	12	to	to	ADP
ejpam-6919	222	13	some	some	DET
ejpam-6919	222	14	ϑ	ϑ	PRON
ejpam-6919	222	15	∈	∈	PROPN
ejpam-6919	222	16	ξ	ξ	X
ejpam-6919	222	17	.	.	PUNCT
ejpam-6919	223	1	hence	hence	ADV
ejpam-6919	223	2	,	,	PUNCT
ejpam-6919	223	3	lim	lim	PROPN
ejpam-6919	223	4	j→∞	j→∞	NUM
ejpam-6919	223	5	a	a	DET
ejpam-6919	223	6	(	(	PUNCT
ejpam-6919	223	7	%	%	INTJ
ejpam-6919	223	8	j	j	PROPN
ejpam-6919	223	9	,	,	PUNCT
ejpam-6919	223	10	ϑ	ϑ	X
ejpam-6919	223	11	,	,	PUNCT
ejpam-6919	223	12	τ	τ	X
ejpam-6919	223	13	)	)	PUNCT
ejpam-6919	223	14	=	=	SYM
ejpam-6919	223	15	1	1	NUM
ejpam-6919	223	16	,	,	PUNCT
ejpam-6919	223	17	lim	lim	PROPN
ejpam-6919	223	18	j→∞	j→∞	PROPN
ejpam-6919	223	19	b	b	PROPN
ejpam-6919	223	20	(	(	PUNCT
ejpam-6919	223	21	%	%	INTJ
ejpam-6919	223	22	j	j	PROPN
ejpam-6919	223	23	,	,	PUNCT
ejpam-6919	223	24	ϑ	ϑ	X
ejpam-6919	223	25	,	,	PUNCT
ejpam-6919	223	26	τ	τ	X
ejpam-6919	223	27	)	)	PUNCT
ejpam-6919	223	28	=	=	SYM
ejpam-6919	223	29	0	0	NUM
ejpam-6919	223	30	,	,	PUNCT
ejpam-6919	223	31	and	and	CCONJ
ejpam-6919	223	32	lim	lim	PROPN
ejpam-6919	223	33	j→∞	j→∞	PROPN
ejpam-6919	223	34	c	c	PROPN
ejpam-6919	224	1	(	(	PUNCT
ejpam-6919	224	2	%	%	INTJ
ejpam-6919	224	3	j	j	PROPN
ejpam-6919	224	4	,	,	PUNCT
ejpam-6919	224	5	ϑ	ϑ	X
ejpam-6919	224	6	,	,	PUNCT
ejpam-6919	224	7	τ	τ	X
ejpam-6919	224	8	)	)	PUNCT
ejpam-6919	224	9	=	=	SYM
ejpam-6919	224	10	0	0	NUM
ejpam-6919	224	11	∀	∀	X
ejpam-6919	224	12	τ	τ	X
ejpam-6919	224	13	>	>	X
ejpam-6919	224	14	0	0	X
ejpam-6919	224	15	.	.	PUNCT
ejpam-6919	225	1	we	we	PRON
ejpam-6919	225	2	now	now	ADV
ejpam-6919	225	3	assert	assert	VERB
ejpam-6919	225	4	that	that	SCONJ
ejpam-6919	225	5	ϑ	ϑ	NOUN
ejpam-6919	225	6	is	be	AUX
ejpam-6919	225	7	a	a	DET
ejpam-6919	225	8	fixed	fix	VERB
ejpam-6919	225	9	point	point	NOUN
ejpam-6919	225	10	of	of	ADP
ejpam-6919	225	11	l.	l.	PROPN
ejpam-6919	225	12	assume	assume	PROPN
ejpam-6919	225	13	,	,	PUNCT
ejpam-6919	225	14	for	for	ADP
ejpam-6919	225	15	the	the	DET
ejpam-6919	225	16	sake	sake	NOUN
ejpam-6919	225	17	of	of	ADP
ejpam-6919	225	18	contradiction	contradiction	NOUN
ejpam-6919	225	19	,	,	PUNCT
ejpam-6919	225	20	that	that	SCONJ
ejpam-6919	225	21	there	there	PRON
ejpam-6919	225	22	exists	exist	VERB
ejpam-6919	225	23	τ0	τ0	NOUN
ejpam-6919	225	24	>	>	X
ejpam-6919	225	25	0	0	NUM
ejpam-6919	226	1	such	such	ADJ
ejpam-6919	226	2	that	that	SCONJ
ejpam-6919	226	3	a	a	DET
ejpam-6919	226	4	(	(	PUNCT
ejpam-6919	226	5	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	226	6	,	,	PUNCT
ejpam-6919	226	7	τ0	τ0	NOUN
ejpam-6919	226	8	)	)	PUNCT
ejpam-6919	226	9	<	<	X
ejpam-6919	226	10	1,b	1,b	NUM
ejpam-6919	226	11	(	(	PUNCT
ejpam-6919	226	12	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	226	13	,	,	PUNCT
ejpam-6919	226	14	τ0	τ0	NOUN
ejpam-6919	226	15	)	)	PUNCT
ejpam-6919	226	16	>	>	X
ejpam-6919	226	17	0	0	PUNCT
ejpam-6919	226	18	and	and	CCONJ
ejpam-6919	226	19	c	c	PROPN
ejpam-6919	226	20	(	(	PUNCT
ejpam-6919	226	21	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	226	22	,	,	PUNCT
ejpam-6919	226	23	τ0	τ0	NOUN
ejpam-6919	226	24	)	)	PUNCT
ejpam-6919	226	25	>	>	X
ejpam-6919	226	26	0	0	X
ejpam-6919	226	27	.	.	PUNCT
ejpam-6919	227	1	(	(	PUNCT
ejpam-6919	227	2	9	9	X
ejpam-6919	227	3	)	)	PUNCT
ejpam-6919	227	4	m.	m.	NOUN
ejpam-6919	227	5	pandiselvi	pandiselvi	PROPN
ejpam-6919	227	6	,	,	PUNCT
ejpam-6919	227	7	m.	m.	NOUN
ejpam-6919	227	8	jeyaraman	jeyaraman	PROPN
ejpam-6919	227	9	,	,	PUNCT
ejpam-6919	227	10	m.	m.	NOUN
ejpam-6919	227	11	akram	akram	PROPN
ejpam-6919	227	12	/	/	PUNCT
ejpam-6919	227	13	eur	eur	PROPN
ejpam-6919	227	14	.	.	PUNCT
ejpam-6919	228	1	j.	j.	PROPN
ejpam-6919	228	2	pure	pure	PROPN
ejpam-6919	228	3	appl	appl	PROPN
ejpam-6919	228	4	.	.	PROPN
ejpam-6919	228	5	math	math	PROPN
ejpam-6919	228	6	,	,	PUNCT
ejpam-6919	228	7	18	18	NUM
ejpam-6919	228	8	(	(	PUNCT
ejpam-6919	228	9	4	4	NUM
ejpam-6919	228	10	)	)	PUNCT
ejpam-6919	228	11	(	(	PUNCT
ejpam-6919	228	12	2025	2025	NUM
ejpam-6919	228	13	)	)	PUNCT
ejpam-6919	228	14	,	,	PUNCT
ejpam-6919	228	15	6919	6919	NUM
ejpam-6919	228	16	8	8	NUM
ejpam-6919	228	17	of	of	ADP
ejpam-6919	228	18	16	16	NUM
ejpam-6919	228	19	then	then	ADV
ejpam-6919	228	20	we	we	PRON
ejpam-6919	228	21	have	have	VERB
ejpam-6919	228	22	,	,	PUNCT
ejpam-6919	228	23	(	(	PUNCT
ejpam-6919	228	24	f	f	X
ejpam-6919	228	25	(	(	PUNCT
ejpam-6919	228	26	a	a	DET
ejpam-6919	228	27	(	(	PUNCT
ejpam-6919	228	28	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	228	29	,	,	PUNCT
ejpam-6919	228	30	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	228	31	≥	≥	NOUN
ejpam-6919	228	32	f	f	NOUN
ejpam-6919	228	33	(	(	PUNCT
ejpam-6919	228	34	a	a	DET
ejpam-6919	228	35	(	(	PUNCT
ejpam-6919	228	36	ϑ	ϑ	X
ejpam-6919	228	37	,	,	PUNCT
ejpam-6919	228	38	%	%	INTJ
ejpam-6919	228	39	j	j	PROPN
ejpam-6919	228	40	,	,	PUNCT
ejpam-6919	228	41	τ0	τ0	NOUN
ejpam-6919	228	42	2	2	NUM
ejpam-6919	228	43	)	)	PUNCT
ejpam-6919	228	44	?	?	PUNCT
ejpam-6919	229	1	a	a	PRON
ejpam-6919	229	2	(	(	PUNCT
ejpam-6919	229	3	%	%	INTJ
ejpam-6919	229	4	j	j	PROPN
ejpam-6919	229	5	,	,	PUNCT
ejpam-6919	229	6	lϑ	lϑ	PROPN
ejpam-6919	229	7	,	,	PUNCT
ejpam-6919	229	8	τ0	τ0	NOUN
ejpam-6919	229	9	2	2	NUM
ejpam-6919	229	10	)	)	PUNCT
ejpam-6919	229	11	)	)	PUNCT
ejpam-6919	229	12	,	,	PUNCT
ejpam-6919	229	13	(	(	PUNCT
ejpam-6919	229	14	10	10	NUM
ejpam-6919	229	15	)	)	PUNCT
ejpam-6919	229	16	(	(	PUNCT
ejpam-6919	229	17	f	f	X
ejpam-6919	229	18	(	(	PUNCT
ejpam-6919	229	19	1−	1−	NUM
ejpam-6919	229	20	b	b	PROPN
ejpam-6919	229	21	(	(	PUNCT
ejpam-6919	229	22	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	229	23	,	,	PUNCT
ejpam-6919	229	24	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	229	25	≥	≥	NOUN
ejpam-6919	229	26	f	f	NOUN
ejpam-6919	229	27	(	(	PUNCT
ejpam-6919	229	28	1−	1−	NUM
ejpam-6919	229	29	{	{	PUNCT
ejpam-6919	229	30	b	b	PROPN
ejpam-6919	229	31	(	(	PUNCT
ejpam-6919	229	32	ϑ	ϑ	X
ejpam-6919	229	33	,	,	PUNCT
ejpam-6919	229	34	%	%	INTJ
ejpam-6919	229	35	j	j	PROPN
ejpam-6919	229	36	,	,	PUNCT
ejpam-6919	229	37	τ0	τ0	PROPN
ejpam-6919	229	38	2	2	X
ejpam-6919	229	39	)	)	PUNCT
ejpam-6919	229	40	♦	♦	PROPN
ejpam-6919	229	41	b	b	PROPN
ejpam-6919	229	42	(	(	PUNCT
ejpam-6919	229	43	%	%	INTJ
ejpam-6919	229	44	j	j	PROPN
ejpam-6919	229	45	,	,	PUNCT
ejpam-6919	229	46	lϑ	lϑ	PROPN
ejpam-6919	229	47	,	,	PUNCT
ejpam-6919	229	48	τ0	τ0	NOUN
ejpam-6919	229	49	2	2	NUM
ejpam-6919	229	50	)	)	PUNCT
ejpam-6919	229	51	}	}	PUNCT
ejpam-6919	229	52	)	)	PUNCT
ejpam-6919	229	53	and	and	CCONJ
ejpam-6919	229	54	(	(	PUNCT
ejpam-6919	229	55	11	11	NUM
ejpam-6919	229	56	)	)	PUNCT
ejpam-6919	229	57	(	(	PUNCT
ejpam-6919	229	58	f	f	X
ejpam-6919	229	59	(	(	PUNCT
ejpam-6919	229	60	1−	1−	NUM
ejpam-6919	229	61	c	c	X
ejpam-6919	229	62	(	(	PUNCT
ejpam-6919	229	63	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	229	64	,	,	PUNCT
ejpam-6919	229	65	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	229	66	≥	≥	NOUN
ejpam-6919	229	67	f	f	NOUN
ejpam-6919	229	68	(	(	PUNCT
ejpam-6919	229	69	1−	1−	NUM
ejpam-6919	229	70	{	{	PUNCT
ejpam-6919	229	71	c	c	X
ejpam-6919	229	72	(	(	PUNCT
ejpam-6919	229	73	ϑ	ϑ	X
ejpam-6919	229	74	,	,	PUNCT
ejpam-6919	229	75	%	%	INTJ
ejpam-6919	229	76	j	j	PROPN
ejpam-6919	229	77	,	,	PUNCT
ejpam-6919	229	78	τ0	τ0	PROPN
ejpam-6919	229	79	2	2	X
ejpam-6919	229	80	)	)	PUNCT
ejpam-6919	230	1	♦	♦	PROPN
ejpam-6919	230	2	c	c	PROPN
ejpam-6919	230	3	(	(	PUNCT
ejpam-6919	230	4	%	%	INTJ
ejpam-6919	230	5	j	j	PROPN
ejpam-6919	230	6	,	,	PUNCT
ejpam-6919	230	7	lϑ	lϑ	PROPN
ejpam-6919	230	8	,	,	PUNCT
ejpam-6919	230	9	τ0	τ0	NOUN
ejpam-6919	230	10	2	2	NUM
ejpam-6919	230	11	)	)	PUNCT
ejpam-6919	230	12	}	}	PUNCT
ejpam-6919	230	13	)	)	PUNCT
ejpam-6919	230	14	∀	∀	PUNCT
ejpam-6919	231	1	j	j	PROPN
ejpam-6919	231	2	∈	∈	PROPN
ejpam-6919	231	3	n.	n.	NOUN
ejpam-6919	231	4	(	(	PUNCT
ejpam-6919	231	5	12	12	NUM
ejpam-6919	231	6	)	)	PUNCT
ejpam-6919	231	7	again	again	ADV
ejpam-6919	231	8	,	,	PUNCT
ejpam-6919	231	9	a	a	DET
ejpam-6919	231	10	(	(	PUNCT
ejpam-6919	231	11	%	%	INTJ
ejpam-6919	231	12	j	j	PROPN
ejpam-6919	231	13	,	,	PUNCT
ejpam-6919	231	14	lϑ	lϑ	PROPN
ejpam-6919	231	15	,	,	PUNCT
ejpam-6919	231	16	τ0	τ0	NOUN
ejpam-6919	231	17	2	2	NUM
ejpam-6919	231	18	)	)	PUNCT
ejpam-6919	231	19	≥	≥	NOUN
ejpam-6919	231	20	ϕ	ϕ	NOUN
ejpam-6919	231	21	(	(	PUNCT
ejpam-6919	231	22	a	a	DET
ejpam-6919	231	23	(	(	PUNCT
ejpam-6919	231	24	%	%	INTJ
ejpam-6919	231	25	j−1	j−1	PROPN
ejpam-6919	231	26	,	,	PUNCT
ejpam-6919	231	27	ϑ	ϑ	NOUN
ejpam-6919	231	28	,	,	PUNCT
ejpam-6919	231	29	τ0	τ0	NOUN
ejpam-6919	231	30	2	2	NUM
ejpam-6919	231	31	)	)	PUNCT
ejpam-6919	231	32	)	)	PUNCT
ejpam-6919	231	33	,	,	PUNCT
ejpam-6919	231	34	1−	1−	NUM
ejpam-6919	231	35	b	b	X
ejpam-6919	231	36	(	(	PUNCT
ejpam-6919	231	37	%	%	INTJ
ejpam-6919	231	38	j	j	PROPN
ejpam-6919	231	39	,	,	PUNCT
ejpam-6919	231	40	lϑ	lϑ	PROPN
ejpam-6919	231	41	,	,	PUNCT
ejpam-6919	231	42	τ0	τ0	NOUN
ejpam-6919	231	43	2	2	NUM
ejpam-6919	231	44	)	)	PUNCT
ejpam-6919	231	45	≥	≥	NOUN
ejpam-6919	231	46	ϕ	ϕ	NOUN
ejpam-6919	231	47	(	(	PUNCT
ejpam-6919	231	48	1−	1−	NUM
ejpam-6919	231	49	b	b	X
ejpam-6919	231	50	(	(	PUNCT
ejpam-6919	231	51	%	%	INTJ
ejpam-6919	231	52	j−1	j−1	PROPN
ejpam-6919	231	53	,	,	PUNCT
ejpam-6919	231	54	ϑ	ϑ	NOUN
ejpam-6919	231	55	,	,	PUNCT
ejpam-6919	231	56	τ0	τ0	NOUN
ejpam-6919	231	57	2	2	NUM
ejpam-6919	231	58	)	)	PUNCT
ejpam-6919	231	59	)	)	PUNCT
ejpam-6919	231	60	and	and	CCONJ
ejpam-6919	231	61	1−	1−	NUM
ejpam-6919	231	62	c	c	X
ejpam-6919	231	63	(	(	PUNCT
ejpam-6919	231	64	%	%	INTJ
ejpam-6919	231	65	j	j	PROPN
ejpam-6919	231	66	,	,	PUNCT
ejpam-6919	231	67	lϑ	lϑ	PROPN
ejpam-6919	231	68	,	,	PUNCT
ejpam-6919	231	69	τ0	τ0	NOUN
ejpam-6919	231	70	2	2	NUM
ejpam-6919	231	71	)	)	PUNCT
ejpam-6919	231	72	≥	≥	NOUN
ejpam-6919	231	73	ϕ	ϕ	NOUN
ejpam-6919	232	1	(	(	PUNCT
ejpam-6919	232	2	1−	1−	NUM
ejpam-6919	232	3	c	c	NOUN
ejpam-6919	232	4	(	(	PUNCT
ejpam-6919	232	5	%	%	INTJ
ejpam-6919	232	6	j−1	j−1	PROPN
ejpam-6919	232	7	,	,	PUNCT
ejpam-6919	232	8	ϑ	ϑ	NOUN
ejpam-6919	232	9	,	,	PUNCT
ejpam-6919	232	10	τ0	τ0	NOUN
ejpam-6919	232	11	2	2	NUM
ejpam-6919	232	12	)	)	PUNCT
ejpam-6919	232	13	)	)	PUNCT
ejpam-6919	232	14	∀	∀	PUNCT
ejpam-6919	233	1	j	j	PROPN
ejpam-6919	233	2	∈	∈	PROPN
ejpam-6919	233	3	n	n	CCONJ
ejpam-6919	233	4	⇒	⇒	VERB
ejpam-6919	233	5	lim	lim	PROPN
ejpam-6919	233	6	j→∞	j→∞	NUM
ejpam-6919	233	7	a	a	PRON
ejpam-6919	233	8	(	(	PUNCT
ejpam-6919	233	9	%	%	INTJ
ejpam-6919	233	10	j	j	PROPN
ejpam-6919	233	11	,	,	PUNCT
ejpam-6919	233	12	lϑ	lϑ	PROPN
ejpam-6919	233	13	,	,	PUNCT
ejpam-6919	233	14	τ0	τ0	NOUN
ejpam-6919	233	15	2	2	NUM
ejpam-6919	233	16	)	)	PUNCT
ejpam-6919	233	17	≥	≥	NOUN
ejpam-6919	233	18	lim	lim	PROPN
ejpam-6919	233	19	j→∞	j→∞	NOUN
ejpam-6919	233	20	ϕ	ϕ	PROPN
ejpam-6919	233	21	(	(	PUNCT
ejpam-6919	233	22	a	a	DET
ejpam-6919	233	23	(	(	PUNCT
ejpam-6919	233	24	%	%	INTJ
ejpam-6919	233	25	j−1	j−1	PROPN
ejpam-6919	233	26	,	,	PUNCT
ejpam-6919	233	27	ϑ	ϑ	NOUN
ejpam-6919	233	28	,	,	PUNCT
ejpam-6919	233	29	τ0	τ0	NOUN
ejpam-6919	233	30	2	2	NUM
ejpam-6919	233	31	)	)	PUNCT
ejpam-6919	233	32	)	)	PUNCT
ejpam-6919	234	1	=	=	SYM
ejpam-6919	234	2	1	1	X
ejpam-6919	234	3	,	,	PUNCT
ejpam-6919	234	4	lim	lim	PROPN
ejpam-6919	234	5	j→∞	j→∞	NOUN
ejpam-6919	234	6	(	(	PUNCT
ejpam-6919	234	7	1−	1−	NUM
ejpam-6919	234	8	b	b	X
ejpam-6919	234	9	(	(	PUNCT
ejpam-6919	234	10	%	%	INTJ
ejpam-6919	234	11	j	j	PROPN
ejpam-6919	234	12	,	,	PUNCT
ejpam-6919	234	13	lϑ	lϑ	PROPN
ejpam-6919	234	14	,	,	PUNCT
ejpam-6919	234	15	τ0	τ0	NOUN
ejpam-6919	234	16	2	2	NUM
ejpam-6919	234	17	)	)	PUNCT
ejpam-6919	234	18	)	)	PUNCT
ejpam-6919	234	19	≥	≥	PROPN
ejpam-6919	235	1	lim	lim	PROPN
ejpam-6919	235	2	j→∞	j→∞	NOUN
ejpam-6919	235	3	ϕ	ϕ	PROPN
ejpam-6919	235	4	(	(	PUNCT
ejpam-6919	235	5	1−	1−	NUM
ejpam-6919	235	6	b	b	X
ejpam-6919	235	7	(	(	PUNCT
ejpam-6919	235	8	%	%	INTJ
ejpam-6919	235	9	j−1	j−1	PROPN
ejpam-6919	235	10	,	,	PUNCT
ejpam-6919	235	11	ϑ	ϑ	NOUN
ejpam-6919	235	12	,	,	PUNCT
ejpam-6919	235	13	τ0	τ0	NOUN
ejpam-6919	235	14	2	2	NUM
ejpam-6919	235	15	)	)	PUNCT
ejpam-6919	235	16	)	)	PUNCT
ejpam-6919	236	1	=	=	SYM
ejpam-6919	236	2	1	1	NUM
ejpam-6919	236	3	and	and	CCONJ
ejpam-6919	236	4	lim	lim	PROPN
ejpam-6919	236	5	j→∞	j→∞	NOUN
ejpam-6919	236	6	(	(	PUNCT
ejpam-6919	236	7	1−	1−	NUM
ejpam-6919	236	8	c	c	X
ejpam-6919	236	9	(	(	PUNCT
ejpam-6919	236	10	%	%	INTJ
ejpam-6919	236	11	j	j	PROPN
ejpam-6919	236	12	,	,	PUNCT
ejpam-6919	236	13	lϑ	lϑ	PROPN
ejpam-6919	236	14	,	,	PUNCT
ejpam-6919	236	15	τ0	τ0	NOUN
ejpam-6919	236	16	2	2	NUM
ejpam-6919	236	17	)	)	PUNCT
ejpam-6919	236	18	)	)	PUNCT
ejpam-6919	237	1	≥	≥	PROPN
ejpam-6919	238	1	lim	lim	PROPN
ejpam-6919	238	2	j→∞	j→∞	NOUN
ejpam-6919	238	3	ϕ	ϕ	PROPN
ejpam-6919	238	4	(	(	PUNCT
ejpam-6919	238	5	1−	1−	NUM
ejpam-6919	238	6	c	c	NOUN
ejpam-6919	238	7	(	(	PUNCT
ejpam-6919	238	8	%	%	INTJ
ejpam-6919	238	9	j−1	j−1	PROPN
ejpam-6919	238	10	,	,	PUNCT
ejpam-6919	238	11	ϑ	ϑ	NOUN
ejpam-6919	238	12	,	,	PUNCT
ejpam-6919	238	13	τ0	τ0	NOUN
ejpam-6919	238	14	2	2	NUM
ejpam-6919	238	15	)	)	PUNCT
ejpam-6919	238	16	)	)	PUNCT
ejpam-6919	239	1	=	=	SYM
ejpam-6919	239	2	1(using	1(use	VERB
ejpam-6919	239	3	lemma	lemma	PROPN
ejpam-6919	239	4	(	(	PUNCT
ejpam-6919	239	5	2	2	NUM
ejpam-6919	239	6	)	)	PUNCT
ejpam-6919	239	7	)	)	PUNCT
ejpam-6919	240	1	⇒	⇒	PROPN
ejpam-6919	240	2	lim	lim	PROPN
ejpam-6919	240	3	j→∞	j→∞	NUM
ejpam-6919	240	4	a	a	PRON
ejpam-6919	240	5	(	(	PUNCT
ejpam-6919	240	6	%	%	INTJ
ejpam-6919	240	7	j	j	PROPN
ejpam-6919	240	8	,	,	PUNCT
ejpam-6919	240	9	lϑ	lϑ	PROPN
ejpam-6919	240	10	,	,	PUNCT
ejpam-6919	240	11	τ0	τ0	NOUN
ejpam-6919	240	12	2	2	NUM
ejpam-6919	240	13	)	)	PUNCT
ejpam-6919	240	14	=	=	SYM
ejpam-6919	240	15	1	1	NUM
ejpam-6919	240	16	,	,	PUNCT
ejpam-6919	240	17	lim	lim	PROPN
ejpam-6919	240	18	j→∞	j→∞	PROPN
ejpam-6919	240	19	b	b	PROPN
ejpam-6919	240	20	(	(	PUNCT
ejpam-6919	240	21	%	%	INTJ
ejpam-6919	240	22	j	j	PROPN
ejpam-6919	240	23	,	,	PUNCT
ejpam-6919	240	24	lϑ	lϑ	PROPN
ejpam-6919	240	25	,	,	PUNCT
ejpam-6919	240	26	τ0	τ0	NOUN
ejpam-6919	240	27	2	2	NUM
ejpam-6919	240	28	)	)	PUNCT
ejpam-6919	240	29	=	=	SYM
ejpam-6919	240	30	0	0	NUM
ejpam-6919	240	31	,	,	PUNCT
ejpam-6919	240	32	and	and	CCONJ
ejpam-6919	240	33	lim	lim	PROPN
ejpam-6919	240	34	j→∞	j→∞	PROPN
ejpam-6919	240	35	c	c	PROPN
ejpam-6919	241	1	(	(	PUNCT
ejpam-6919	241	2	%	%	INTJ
ejpam-6919	241	3	j	j	PROPN
ejpam-6919	241	4	,	,	PUNCT
ejpam-6919	241	5	lϑ	lϑ	PROPN
ejpam-6919	241	6	,	,	PUNCT
ejpam-6919	241	7	τ0	τ0	NOUN
ejpam-6919	241	8	2	2	NUM
ejpam-6919	241	9	)	)	PUNCT
ejpam-6919	241	10	=	=	SYM
ejpam-6919	242	1	0	0	X
ejpam-6919	242	2	.	.	PUNCT
ejpam-6919	243	1	therefore	therefore	ADV
ejpam-6919	243	2	,	,	PUNCT
ejpam-6919	243	3	lim	lim	PROPN
ejpam-6919	243	4	j→∞	j→∞	NUM
ejpam-6919	243	5	a	a	DET
ejpam-6919	243	6	(	(	PUNCT
ejpam-6919	243	7	ϑ	ϑ	X
ejpam-6919	243	8	,	,	PUNCT
ejpam-6919	243	9	%	%	INTJ
ejpam-6919	243	10	j	j	PROPN
ejpam-6919	243	11	,	,	PUNCT
ejpam-6919	243	12	τ0	τ0	NOUN
ejpam-6919	243	13	2	2	NUM
ejpam-6919	243	14	)	)	PUNCT
ejpam-6919	243	15	?	?	PUNCT
ejpam-6919	244	1	a	a	DET
ejpam-6919	244	2	(	(	PUNCT
ejpam-6919	244	3	%	%	INTJ
ejpam-6919	244	4	j	j	PROPN
ejpam-6919	244	5	,	,	PUNCT
ejpam-6919	244	6	lϑ	lϑ	PROPN
ejpam-6919	244	7	,	,	PUNCT
ejpam-6919	244	8	τ0	τ0	NOUN
ejpam-6919	244	9	2	2	NUM
ejpam-6919	244	10	)	)	PUNCT
ejpam-6919	244	11	=	=	SYM
ejpam-6919	244	12	1	1	NUM
ejpam-6919	244	13	,	,	PUNCT
ejpam-6919	244	14	lim	lim	PROPN
ejpam-6919	244	15	j→∞	j→∞	PROPN
ejpam-6919	244	16	b	b	PROPN
ejpam-6919	244	17	(	(	PUNCT
ejpam-6919	244	18	ϑ	ϑ	X
ejpam-6919	244	19	,	,	PUNCT
ejpam-6919	244	20	%	%	INTJ
ejpam-6919	244	21	j	j	PROPN
ejpam-6919	244	22	,	,	PUNCT
ejpam-6919	244	23	τ0	τ0	PROPN
ejpam-6919	244	24	2	2	X
ejpam-6919	244	25	)	)	PUNCT
ejpam-6919	244	26	♦	♦	PROPN
ejpam-6919	244	27	b	b	PROPN
ejpam-6919	244	28	(	(	PUNCT
ejpam-6919	244	29	%	%	INTJ
ejpam-6919	244	30	j	j	PROPN
ejpam-6919	244	31	,	,	PUNCT
ejpam-6919	244	32	lϑ	lϑ	PROPN
ejpam-6919	244	33	,	,	PUNCT
ejpam-6919	244	34	τ0	τ0	NOUN
ejpam-6919	244	35	2	2	NUM
ejpam-6919	244	36	)	)	PUNCT
ejpam-6919	244	37	=	=	SYM
ejpam-6919	244	38	0	0	PUNCT
ejpam-6919	244	39	and	and	CCONJ
ejpam-6919	244	40	lim	lim	PROPN
ejpam-6919	244	41	j→∞	j→∞	PROPN
ejpam-6919	244	42	c	c	PROPN
ejpam-6919	244	43	(	(	PUNCT
ejpam-6919	244	44	ϑ	ϑ	X
ejpam-6919	244	45	,	,	PUNCT
ejpam-6919	244	46	%	%	INTJ
ejpam-6919	244	47	j	j	PROPN
ejpam-6919	244	48	,	,	PUNCT
ejpam-6919	244	49	τ0	τ0	PROPN
ejpam-6919	244	50	2	2	X
ejpam-6919	244	51	)	)	PUNCT
ejpam-6919	245	1	♦	♦	PROPN
ejpam-6919	245	2	c	c	PROPN
ejpam-6919	245	3	(	(	PUNCT
ejpam-6919	245	4	%	%	INTJ
ejpam-6919	245	5	j	j	PROPN
ejpam-6919	245	6	,	,	PUNCT
ejpam-6919	245	7	lϑ	lϑ	PROPN
ejpam-6919	245	8	,	,	PUNCT
ejpam-6919	245	9	τ0	τ0	NOUN
ejpam-6919	245	10	2	2	NUM
ejpam-6919	245	11	)	)	PUNCT
ejpam-6919	245	12	=	=	SYM
ejpam-6919	245	13	0	0	NUM
ejpam-6919	245	14	⇒	⇒	NOUN
ejpam-6919	245	15	lim	lim	PROPN
ejpam-6919	245	16	j→∞	j→∞	PROPN
ejpam-6919	245	17	f	f	PROPN
ejpam-6919	245	18	(	(	PUNCT
ejpam-6919	245	19	a	a	DET
ejpam-6919	245	20	(	(	PUNCT
ejpam-6919	245	21	ϑ	ϑ	X
ejpam-6919	245	22	,	,	PUNCT
ejpam-6919	245	23	%	%	INTJ
ejpam-6919	245	24	j	j	PROPN
ejpam-6919	245	25	,	,	PUNCT
ejpam-6919	245	26	τ0	τ0	NOUN
ejpam-6919	245	27	2	2	NUM
ejpam-6919	245	28	)	)	PUNCT
ejpam-6919	245	29	?	?	PUNCT
ejpam-6919	246	1	a	a	PRON
ejpam-6919	246	2	(	(	PUNCT
ejpam-6919	246	3	%	%	INTJ
ejpam-6919	246	4	j	j	PROPN
ejpam-6919	246	5	,	,	PUNCT
ejpam-6919	246	6	lϑ	lϑ	PROPN
ejpam-6919	246	7	,	,	PUNCT
ejpam-6919	246	8	τ0	τ0	NOUN
ejpam-6919	246	9	2	2	NUM
ejpam-6919	246	10	)	)	PUNCT
ejpam-6919	246	11	)	)	PUNCT
ejpam-6919	247	1	=	=	SYM
ejpam-6919	247	2	1	1	X
ejpam-6919	247	3	,	,	PUNCT
ejpam-6919	247	4	lim	lim	PROPN
ejpam-6919	247	5	j→∞	j→∞	NOUN
ejpam-6919	247	6	f	f	PROPN
ejpam-6919	247	7	(	(	PUNCT
ejpam-6919	247	8	1−	1−	NUM
ejpam-6919	247	9	{	{	PUNCT
ejpam-6919	247	10	b	b	PROPN
ejpam-6919	247	11	(	(	PUNCT
ejpam-6919	247	12	ϑ	ϑ	X
ejpam-6919	247	13	,	,	PUNCT
ejpam-6919	247	14	%	%	INTJ
ejpam-6919	247	15	j	j	PROPN
ejpam-6919	247	16	,	,	PUNCT
ejpam-6919	247	17	τ0	τ0	PROPN
ejpam-6919	247	18	2	2	X
ejpam-6919	247	19	)	)	PUNCT
ejpam-6919	247	20	♦	♦	PROPN
ejpam-6919	247	21	b	b	PROPN
ejpam-6919	247	22	(	(	PUNCT
ejpam-6919	247	23	%	%	INTJ
ejpam-6919	247	24	j	j	PROPN
ejpam-6919	247	25	,	,	PUNCT
ejpam-6919	247	26	lϑ	lϑ	PROPN
ejpam-6919	247	27	,	,	PUNCT
ejpam-6919	247	28	τ0	τ0	NOUN
ejpam-6919	247	29	2	2	NUM
ejpam-6919	247	30	)	)	PUNCT
ejpam-6919	247	31	}	}	PUNCT
ejpam-6919	247	32	)	)	PUNCT
ejpam-6919	247	33	=	=	SYM
ejpam-6919	247	34	1	1	X
ejpam-6919	247	35	,	,	PUNCT
ejpam-6919	247	36	lim	lim	PROPN
ejpam-6919	247	37	j→∞	j→∞	NOUN
ejpam-6919	247	38	f	f	PROPN
ejpam-6919	247	39	(	(	PUNCT
ejpam-6919	247	40	1−	1−	NUM
ejpam-6919	247	41	{	{	PUNCT
ejpam-6919	247	42	c	c	X
ejpam-6919	247	43	(	(	PUNCT
ejpam-6919	247	44	ϑ	ϑ	X
ejpam-6919	247	45	,	,	PUNCT
ejpam-6919	247	46	%	%	INTJ
ejpam-6919	247	47	j	j	PROPN
ejpam-6919	247	48	,	,	PUNCT
ejpam-6919	247	49	τ0	τ0	PROPN
ejpam-6919	247	50	2	2	X
ejpam-6919	247	51	)	)	PUNCT
ejpam-6919	248	1	♦	♦	PROPN
ejpam-6919	248	2	c	c	PROPN
ejpam-6919	248	3	(	(	PUNCT
ejpam-6919	248	4	%	%	INTJ
ejpam-6919	248	5	j	j	PROPN
ejpam-6919	248	6	,	,	PUNCT
ejpam-6919	248	7	lϑ	lϑ	PROPN
ejpam-6919	248	8	,	,	PUNCT
ejpam-6919	248	9	τ0	τ0	NOUN
ejpam-6919	248	10	2	2	NUM
ejpam-6919	248	11	)	)	PUNCT
ejpam-6919	248	12	}	}	PUNCT
ejpam-6919	248	13	)	)	PUNCT
ejpam-6919	248	14	=	=	SYM
ejpam-6919	249	1	1	1	X
ejpam-6919	249	2	.	.	PUNCT
ejpam-6919	249	3	(	(	PUNCT
ejpam-6919	249	4	using	use	VERB
ejpam-6919	249	5	remark	remark	NOUN
ejpam-6919	249	6	(	(	PUNCT
ejpam-6919	249	7	1	1	NUM
ejpam-6919	249	8	)	)	PUNCT
ejpam-6919	249	9	)	)	PUNCT
ejpam-6919	249	10	⇒	⇒	NOUN
ejpam-6919	249	11	lim	lim	PROPN
ejpam-6919	250	1	j→∞	j→∞	PROPN
ejpam-6919	250	2	(	(	PUNCT
ejpam-6919	250	3	f	f	PROPN
ejpam-6919	250	4	(	(	PUNCT
ejpam-6919	250	5	a	a	DET
ejpam-6919	250	6	(	(	PUNCT
ejpam-6919	250	7	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	250	8	,	,	PUNCT
ejpam-6919	250	9	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	250	10	≥	≥	NOUN
ejpam-6919	250	11	1	1	NUM
ejpam-6919	250	12	,	,	PUNCT
ejpam-6919	250	13	lim	lim	PROPN
ejpam-6919	250	14	j→∞	j→∞	NOUN
ejpam-6919	250	15	(	(	PUNCT
ejpam-6919	250	16	f	f	PROPN
ejpam-6919	250	17	(	(	PUNCT
ejpam-6919	250	18	1−	1−	NUM
ejpam-6919	250	19	b	b	PROPN
ejpam-6919	250	20	(	(	PUNCT
ejpam-6919	250	21	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	250	22	,	,	PUNCT
ejpam-6919	250	23	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	250	24	≥	≥	NOUN
ejpam-6919	250	25	1	1	NUM
ejpam-6919	250	26	and	and	CCONJ
ejpam-6919	250	27	lim	lim	PROPN
ejpam-6919	250	28	j→∞	j→∞	PROPN
ejpam-6919	250	29	(	(	PUNCT
ejpam-6919	250	30	f	f	PROPN
ejpam-6919	250	31	(	(	PUNCT
ejpam-6919	250	32	1−	1−	NUM
ejpam-6919	250	33	c	c	X
ejpam-6919	250	34	(	(	PUNCT
ejpam-6919	250	35	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	250	36	,	,	PUNCT
ejpam-6919	250	37	τ0)))λ	τ0)))λ	PROPN
ejpam-6919	250	38	≥	≥	NOUN
ejpam-6919	250	39	1	1	NUM
ejpam-6919	250	40	⇒	⇒	NOUN
ejpam-6919	250	41	a	a	DET
ejpam-6919	250	42	(	(	PUNCT
ejpam-6919	250	43	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	250	44	,	,	PUNCT
ejpam-6919	250	45	τ0	τ0	NOUN
ejpam-6919	250	46	)	)	PUNCT
ejpam-6919	251	1	=	=	SYM
ejpam-6919	251	2	1,b	1,b	NOUN
ejpam-6919	251	3	(	(	PUNCT
ejpam-6919	251	4	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	251	5	,	,	PUNCT
ejpam-6919	251	6	τ0	τ0	NOUN
ejpam-6919	251	7	)	)	PUNCT
ejpam-6919	251	8	=	=	SYM
ejpam-6919	251	9	0	0	NUM
ejpam-6919	251	10	,	,	PUNCT
ejpam-6919	251	11	c	c	X
ejpam-6919	251	12	(	(	PUNCT
ejpam-6919	251	13	ϑ,lϑ	ϑ,lϑ	PROPN
ejpam-6919	251	14	,	,	PUNCT
ejpam-6919	251	15	τ0	τ0	NOUN
ejpam-6919	251	16	)	)	PUNCT
ejpam-6919	251	17	=	=	SYM
ejpam-6919	252	1	0	0	X
ejpam-6919	252	2	.	.	PUNCT
ejpam-6919	253	1	hence	hence	ADV
ejpam-6919	253	2	,	,	PUNCT
ejpam-6919	253	3	we	we	PRON
ejpam-6919	253	4	reach	reach	VERB
ejpam-6919	253	5	a	a	DET
ejpam-6919	253	6	contradiction	contradiction	NOUN
ejpam-6919	253	7	with	with	ADP
ejpam-6919	253	8	(	(	PUNCT
ejpam-6919	253	9	9	9	NUM
ejpam-6919	253	10	)	)	PUNCT
ejpam-6919	253	11	,	,	PUNCT
ejpam-6919	253	12	implying	imply	VERB
ejpam-6919	253	13	that	that	SCONJ
ejpam-6919	253	14	ϑ	ϑ	PROPN
ejpam-6919	253	15	must	must	AUX
ejpam-6919	253	16	be	be	AUX
ejpam-6919	253	17	a	a	DET
ejpam-6919	253	18	fixed	fix	VERB
ejpam-6919	253	19	point	point	NOUN
ejpam-6919	253	20	of	of	ADP
ejpam-6919	253	21	l.	l.	NOUN
ejpam-6919	253	22	to	to	PART
ejpam-6919	253	23	establish	establish	VERB
ejpam-6919	253	24	that	that	SCONJ
ejpam-6919	253	25	this	this	DET
ejpam-6919	253	26	fixed	fix	VERB
ejpam-6919	253	27	point	point	NOUN
ejpam-6919	253	28	is	be	AUX
ejpam-6919	253	29	unique	unique	ADJ
ejpam-6919	253	30	,	,	PUNCT
ejpam-6919	253	31	assume	assume	VERB
ejpam-6919	253	32	there	there	PRON
ejpam-6919	253	33	exists	exist	VERB
ejpam-6919	253	34	ν	ν	X
ejpam-6919	253	35	∈	∈	PROPN
ejpam-6919	253	36	ξ	ξ	NUM
ejpam-6919	253	37	such	such	ADJ
ejpam-6919	253	38	that	that	SCONJ
ejpam-6919	253	39	ν	ν	NOUN
ejpam-6919	253	40	6=	6=	ADP
ejpam-6919	253	41	ϑ	ϑ	X
ejpam-6919	253	42	and	and	CCONJ
ejpam-6919	253	43	l(ν	l(ν	PROPN
ejpam-6919	253	44	)	)	PUNCT
ejpam-6919	253	45	=	=	SYM
ejpam-6919	254	1	ν	ν	X
ejpam-6919	254	2	.	.	PUNCT
ejpam-6919	254	3	because	because	SCONJ
ejpam-6919	254	4	ν	ν	NOUN
ejpam-6919	254	5	6=	6=	ADP
ejpam-6919	254	6	ϑ	ϑ	X
ejpam-6919	254	7	,	,	PUNCT
ejpam-6919	254	8	there	there	PRON
ejpam-6919	254	9	exists	exist	VERB
ejpam-6919	254	10	s	s	PROPN
ejpam-6919	254	11	>	>	X
ejpam-6919	254	12	0	0	PUNCT
ejpam-6919	254	13	for	for	SCONJ
ejpam-6919	254	14	which	which	DET
ejpam-6919	254	15	m.	m.	NOUN
ejpam-6919	254	16	pandiselvi	pandiselvi	PROPN
ejpam-6919	254	17	,	,	PUNCT
ejpam-6919	254	18	m.	m.	NOUN
ejpam-6919	254	19	jeyaraman	jeyaraman	PROPN
ejpam-6919	254	20	,	,	PUNCT
ejpam-6919	254	21	m.	m.	NOUN
ejpam-6919	254	22	akram	akram	PROPN
ejpam-6919	254	23	/	/	PUNCT
ejpam-6919	254	24	eur	eur	PROPN
ejpam-6919	254	25	.	.	PUNCT
ejpam-6919	255	1	j.	j.	PROPN
ejpam-6919	255	2	pure	pure	PROPN
ejpam-6919	255	3	appl	appl	PROPN
ejpam-6919	255	4	.	.	PROPN
ejpam-6919	255	5	math	math	PROPN
ejpam-6919	255	6	,	,	PUNCT
ejpam-6919	255	7	18	18	NUM
ejpam-6919	255	8	(	(	PUNCT
ejpam-6919	255	9	4	4	NUM
ejpam-6919	255	10	)	)	PUNCT
ejpam-6919	255	11	(	(	PUNCT
ejpam-6919	255	12	2025	2025	NUM
ejpam-6919	255	13	)	)	PUNCT
ejpam-6919	255	14	,	,	PUNCT
ejpam-6919	255	15	6919	6919	NUM
ejpam-6919	255	16	9	9	NUM
ejpam-6919	255	17	of	of	ADP
ejpam-6919	255	18	16	16	NUM
ejpam-6919	255	19	a(ϑ	a(ϑ	PROPN
ejpam-6919	255	20	,	,	PUNCT
ejpam-6919	255	21	ν	ν	NOUN
ejpam-6919	255	22	,	,	PUNCT
ejpam-6919	255	23	s	s	PART
ejpam-6919	255	24	)	)	PUNCT
ejpam-6919	255	25	<	<	X
ejpam-6919	255	26	1,b(ϑ	1,b(ϑ	PROPN
ejpam-6919	255	27	,	,	PUNCT
ejpam-6919	255	28	ν	ν	PROPN
ejpam-6919	255	29	,	,	PUNCT
ejpam-6919	255	30	s	s	PART
ejpam-6919	255	31	)	)	PUNCT
ejpam-6919	255	32	>	>	X
ejpam-6919	255	33	0	0	PUNCT
ejpam-6919	255	34	and	and	CCONJ
ejpam-6919	255	35	c(ϑ	c(ϑ	NOUN
ejpam-6919	255	36	,	,	PUNCT
ejpam-6919	255	37	ν	ν	NOUN
ejpam-6919	255	38	,	,	PUNCT
ejpam-6919	255	39	s	s	PART
ejpam-6919	255	40	)	)	PUNCT
ejpam-6919	255	41	>	>	X
ejpam-6919	255	42	0	0	X
ejpam-6919	255	43	.	.	PUNCT
ejpam-6919	256	1	under	under	ADP
ejpam-6919	256	2	this	this	DET
ejpam-6919	256	3	assumption	assumption	NOUN
ejpam-6919	256	4	,	,	PUNCT
ejpam-6919	256	5	we	we	PRON
ejpam-6919	256	6	have	have	VERB
ejpam-6919	256	7	a(ϑ	a(ϑ	PROPN
ejpam-6919	256	8	,	,	PUNCT
ejpam-6919	256	9	ν	ν	PROPN
ejpam-6919	256	10	,	,	PUNCT
ejpam-6919	256	11	s	s	PART
ejpam-6919	256	12	)	)	PUNCT
ejpam-6919	256	13	=	=	SYM
ejpam-6919	256	14	a(lϑ,lν	a(lϑ,lν	NOUN
ejpam-6919	256	15	,	,	PUNCT
ejpam-6919	256	16	s	s	PART
ejpam-6919	256	17	)	)	PUNCT
ejpam-6919	256	18	≥	≥	NOUN
ejpam-6919	256	19	ϕ(a(ϑ	ϕ(a(ϑ	PROPN
ejpam-6919	256	20	,	,	PUNCT
ejpam-6919	256	21	ν	ν	X
ejpam-6919	256	22	,	,	PUNCT
ejpam-6919	256	23	s	s	NOUN
ejpam-6919	256	24	)	)	PUNCT
ejpam-6919	256	25	)	)	PUNCT
ejpam-6919	256	26	>	>	X
ejpam-6919	257	1	a(ϑ	a(ϑ	PROPN
ejpam-6919	257	2	,	,	PUNCT
ejpam-6919	257	3	ν	ν	PROPN
ejpam-6919	257	4	,	,	PUNCT
ejpam-6919	257	5	s	s	PART
ejpam-6919	257	6	)	)	PUNCT
ejpam-6919	257	7	,	,	PUNCT
ejpam-6919	257	8	1−	1−	NUM
ejpam-6919	257	9	b(ϑ	b(ϑ	PROPN
ejpam-6919	257	10	,	,	PUNCT
ejpam-6919	257	11	ν	ν	NOUN
ejpam-6919	257	12	,	,	PUNCT
ejpam-6919	257	13	s	s	PART
ejpam-6919	257	14	)	)	PUNCT
ejpam-6919	257	15	=	=	SYM
ejpam-6919	257	16	1−	1−	NUM
ejpam-6919	257	17	b(lϑ,lν	b(lϑ,lν	PROPN
ejpam-6919	257	18	,	,	PUNCT
ejpam-6919	257	19	s	s	PART
ejpam-6919	257	20	)	)	PUNCT
ejpam-6919	257	21	≥	≥	NOUN
ejpam-6919	257	22	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	257	23	b(ϑ	b(ϑ	PROPN
ejpam-6919	257	24	,	,	PUNCT
ejpam-6919	257	25	ν	ν	PROPN
ejpam-6919	257	26	,	,	PUNCT
ejpam-6919	257	27	s	s	NOUN
ejpam-6919	257	28	)	)	PUNCT
ejpam-6919	257	29	)	)	PUNCT
ejpam-6919	257	30	>	>	X
ejpam-6919	257	31	1−	1−	NUM
ejpam-6919	257	32	b(ϑ	b(ϑ	PROPN
ejpam-6919	257	33	,	,	PUNCT
ejpam-6919	257	34	ν	ν	NOUN
ejpam-6919	257	35	,	,	PUNCT
ejpam-6919	257	36	s	s	PART
ejpam-6919	257	37	)	)	PUNCT
ejpam-6919	257	38	and	and	CCONJ
ejpam-6919	257	39	1−	1−	NUM
ejpam-6919	257	40	c(ϑ	c(ϑ	NOUN
ejpam-6919	257	41	,	,	PUNCT
ejpam-6919	257	42	ν	ν	NOUN
ejpam-6919	257	43	,	,	PUNCT
ejpam-6919	257	44	s	s	PART
ejpam-6919	257	45	)	)	PUNCT
ejpam-6919	257	46	=	=	SYM
ejpam-6919	257	47	1−	1−	NUM
ejpam-6919	257	48	c(lϑ,lν	c(lϑ,lν	NOUN
ejpam-6919	257	49	,	,	PUNCT
ejpam-6919	257	50	s	s	X
ejpam-6919	257	51	)	)	PUNCT
ejpam-6919	257	52	≥	≥	NOUN
ejpam-6919	257	53	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	257	54	c(ϑ	c(ϑ	PROPN
ejpam-6919	257	55	,	,	PUNCT
ejpam-6919	257	56	ν	ν	PROPN
ejpam-6919	257	57	,	,	PUNCT
ejpam-6919	257	58	s	s	NOUN
ejpam-6919	257	59	)	)	PUNCT
ejpam-6919	257	60	)	)	PUNCT
ejpam-6919	257	61	>	>	X
ejpam-6919	258	1	1−	1−	NUM
ejpam-6919	258	2	c(ϑ	c(ϑ	NOUN
ejpam-6919	258	3	,	,	PUNCT
ejpam-6919	258	4	ν	ν	NOUN
ejpam-6919	258	5	,	,	PUNCT
ejpam-6919	258	6	s	s	PART
ejpam-6919	258	7	)	)	PUNCT
ejpam-6919	258	8	which	which	PRON
ejpam-6919	258	9	is	be	AUX
ejpam-6919	258	10	impossible	impossible	ADJ
ejpam-6919	258	11	.	.	PUNCT
ejpam-6919	259	1	therefore	therefore	ADV
ejpam-6919	259	2	,	,	PUNCT
ejpam-6919	259	3	l	l	NOUN
ejpam-6919	259	4	admits	admit	VERB
ejpam-6919	259	5	exactly	exactly	ADV
ejpam-6919	259	6	one	one	NUM
ejpam-6919	259	7	fixed	fix	VERB
ejpam-6919	259	8	point	point	NOUN
ejpam-6919	259	9	in	in	ADP
ejpam-6919	259	10	ξ	ξ	PROPN
ejpam-6919	259	11	.	.	PUNCT
ejpam-6919	259	12	example	example	NOUN
ejpam-6919	259	13	7	7	NUM
ejpam-6919	259	14	.	.	PUNCT
ejpam-6919	260	1	let	let	VERB
ejpam-6919	260	2	ξ	ξ	PROPN
ejpam-6919	260	3	=	=	SYM
ejpam-6919	260	4	r.	r.	NOUN
ejpam-6919	260	5	define	define	VERB
ejpam-6919	260	6	a	a	DET
ejpam-6919	260	7	,	,	PUNCT
ejpam-6919	260	8	b	b	NOUN
ejpam-6919	260	9	,	,	PUNCT
ejpam-6919	260	10	c	c	NOUN
ejpam-6919	260	11	by	by	ADP
ejpam-6919	260	12	a(%	a(%	NOUN
ejpam-6919	260	13	,	,	PUNCT
ejpam-6919	260	14	δ	δ	PROPN
ejpam-6919	260	15	,	,	PUNCT
ejpam-6919	260	16	τ	τ	X
ejpam-6919	260	17	)	)	PUNCT
ejpam-6919	260	18	=	=	PUNCT
ejpam-6919	260	19	e	e	NOUN
ejpam-6919	260	20	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	260	21	τ	τ	PROPN
ejpam-6919	260	22	,	,	PUNCT
ejpam-6919	260	23	b(%	b(%	PROPN
ejpam-6919	260	24	,	,	PUNCT
ejpam-6919	260	25	δ	δ	PROPN
ejpam-6919	260	26	,	,	PUNCT
ejpam-6919	260	27	τ	τ	X
ejpam-6919	260	28	)	)	PUNCT
ejpam-6919	260	29	=	=	SYM
ejpam-6919	261	1	1−e	1−e	NUM
ejpam-6919	261	2	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	261	3	τ	τ	X
ejpam-6919	261	4	and	and	CCONJ
ejpam-6919	261	5	c(%	c(%	PROPN
ejpam-6919	261	6	,	,	PUNCT
ejpam-6919	261	7	δ	δ	PROPN
ejpam-6919	261	8	,	,	PUNCT
ejpam-6919	261	9	τ	τ	PROPN
ejpam-6919	261	10	)	)	PUNCT
ejpam-6919	261	11	=	=	SYM
ejpam-6919	262	1	1	1	NUM
ejpam-6919	262	2	−	−	NOUN
ejpam-6919	262	3	e	e	NOUN
ejpam-6919	262	4	−|%−δ|	−|%−δ|	PRON
ejpam-6919	262	5	2τ	2τ	NUM
ejpam-6919	262	6	.	.	PUNCT
ejpam-6919	263	1	then	then	ADV
ejpam-6919	263	2	(	(	PUNCT
ejpam-6919	263	3	ξ	ξ	X
ejpam-6919	263	4	,	,	PUNCT
ejpam-6919	263	5	a	a	DET
ejpam-6919	263	6	,	,	PUNCT
ejpam-6919	263	7	b	b	NOUN
ejpam-6919	263	8	,	,	PUNCT
ejpam-6919	263	9	c	c	X
ejpam-6919	263	10	,	,	PUNCT
ejpam-6919	263	11	f	f	PROPN
ejpam-6919	263	12	,	,	PUNCT
ejpam-6919	263	13	λ	λ	PROPN
ejpam-6919	263	14	,	,	PUNCT
ejpam-6919	263	15	?	?	PUNCT
ejpam-6919	263	16	,	,	PUNCT
ejpam-6919	263	17	♦	♦	PROPN
ejpam-6919	263	18	)	)	PUNCT
ejpam-6919	263	19	is	be	AUX
ejpam-6919	263	20	a	a	DET
ejpam-6919	263	21	nfms	nfms	PROPN
ejpam-6919	263	22	.	.	PUNCT
ejpam-6919	264	1	consider	consider	VERB
ejpam-6919	264	2	the	the	DET
ejpam-6919	264	3	mappings	mapping	NOUN
ejpam-6919	264	4	by	by	ADP
ejpam-6919	264	5	l(%	l(%	NOUN
ejpam-6919	264	6	)	)	PUNCT
ejpam-6919	265	1	=	=	PUNCT
ejpam-6919	266	1	%	%	NOUN
ejpam-6919	266	2	4	4	NUM
ejpam-6919	266	3	∀	∀	NOUN
ejpam-6919	266	4	%	%	NOUN
ejpam-6919	266	5	∈	∈	PROPN
ejpam-6919	266	6	ξ	ξ	PROPN
ejpam-6919	266	7	and	and	CCONJ
ejpam-6919	266	8	ϕ(τ	ϕ(τ	PROPN
ejpam-6919	266	9	)	)	PUNCT
ejpam-6919	267	1	=	=	PUNCT
ejpam-6919	267	2	τ	τ	X
ejpam-6919	267	3	2	2	NUM
ejpam-6919	267	4	∀	∀	NOUN
ejpam-6919	267	5	τ	τ	X
ejpam-6919	267	6	∈	∈	PROPN
ejpam-6919	268	1	[	[	X
ejpam-6919	268	2	0	0	NUM
ejpam-6919	268	3	,	,	PUNCT
ejpam-6919	268	4	1	1	NUM
ejpam-6919	268	5	]	]	PUNCT
ejpam-6919	268	6	.	.	PUNCT
ejpam-6919	269	1	then	then	ADV
ejpam-6919	269	2	we	we	PRON
ejpam-6919	269	3	have	have	AUX
ejpam-6919	269	4	a(l%,lδ	a(l%,lδ	VERB
ejpam-6919	269	5	,	,	PUNCT
ejpam-6919	269	6	τ	τ	X
ejpam-6919	269	7	)	)	PUNCT
ejpam-6919	269	8	=	=	SYM
ejpam-6919	270	1	a	a	PRON
ejpam-6919	270	2	(	(	PUNCT
ejpam-6919	270	3	%	%	NOUN
ejpam-6919	270	4	4	4	NUM
ejpam-6919	270	5	,	,	PUNCT
ejpam-6919	270	6	δ	δ	PROPN
ejpam-6919	270	7	4	4	NUM
ejpam-6919	270	8	,	,	PUNCT
ejpam-6919	270	9	τ	τ	PROPN
ejpam-6919	270	10	)	)	PUNCT
ejpam-6919	270	11	=	=	PUNCT
ejpam-6919	271	1	e	e	NOUN
ejpam-6919	271	2	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	271	3	4	4	NUM
ejpam-6919	271	4	t	t	NOUN
ejpam-6919	271	5	and	and	CCONJ
ejpam-6919	271	6	ϕ(a(%	ϕ(a(%	NOUN
ejpam-6919	271	7	,	,	PUNCT
ejpam-6919	271	8	δ	δ	PROPN
ejpam-6919	271	9	,	,	PUNCT
ejpam-6919	271	10	τ	τ	PROPN
ejpam-6919	271	11	)	)	PUNCT
ejpam-6919	271	12	)	)	PUNCT
ejpam-6919	272	1	=	=	SYM
ejpam-6919	272	2	a(%,δ	a(%,δ	PROPN
ejpam-6919	272	3	,	,	PUNCT
ejpam-6919	272	4	τ	τ	NOUN
ejpam-6919	272	5	)	)	PUNCT
ejpam-6919	272	6	2	2	NUM
ejpam-6919	272	7	=	=	SYM
ejpam-6919	272	8	e	e	NOUN
ejpam-6919	272	9	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	272	10	τ	τ	PROPN
ejpam-6919	272	11	2	2	NUM
ejpam-6919	272	12	⇒	⇒	NOUN
ejpam-6919	272	13	a(l%,lδ	a(l%,lδ	NUM
ejpam-6919	272	14	,	,	PUNCT
ejpam-6919	272	15	τ	τ	PROPN
ejpam-6919	272	16	)	)	PUNCT
ejpam-6919	272	17	≥	≥	NOUN
ejpam-6919	272	18	ϕ(a(%	ϕ(a(%	NOUN
ejpam-6919	272	19	,	,	PUNCT
ejpam-6919	272	20	δ	δ	PROPN
ejpam-6919	272	21	,	,	PUNCT
ejpam-6919	272	22	τ	τ	PROPN
ejpam-6919	272	23	)	)	PUNCT
ejpam-6919	272	24	)	)	PUNCT
ejpam-6919	272	25	.	.	PUNCT
ejpam-6919	273	1	similarly	similarly	ADV
ejpam-6919	273	2	,	,	PUNCT
ejpam-6919	273	3	1−	1−	NUM
ejpam-6919	273	4	b(l%,lδ	b(l%,lδ	NOUN
ejpam-6919	273	5	,	,	PUNCT
ejpam-6919	273	6	τ	τ	X
ejpam-6919	273	7	)	)	PUNCT
ejpam-6919	273	8	=	=	SYM
ejpam-6919	274	1	1−	1−	NUM
ejpam-6919	274	2	b	b	X
ejpam-6919	274	3	(	(	PUNCT
ejpam-6919	274	4	%	%	NOUN
ejpam-6919	274	5	4	4	NUM
ejpam-6919	274	6	,	,	PUNCT
ejpam-6919	274	7	δ	δ	PROPN
ejpam-6919	274	8	4	4	NUM
ejpam-6919	274	9	,	,	PUNCT
ejpam-6919	274	10	τ	τ	PROPN
ejpam-6919	274	11	)	)	PUNCT
ejpam-6919	274	12	=	=	PUNCT
ejpam-6919	275	1	e	e	NOUN
ejpam-6919	275	2	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	275	3	4	4	NUM
ejpam-6919	275	4	t	t	NOUN
ejpam-6919	275	5	and	and	CCONJ
ejpam-6919	275	6	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	275	7	b(%	b(%	PROPN
ejpam-6919	275	8	,	,	PUNCT
ejpam-6919	275	9	δ	δ	PROPN
ejpam-6919	275	10	,	,	PUNCT
ejpam-6919	275	11	τ	τ	PROPN
ejpam-6919	275	12	)	)	PUNCT
ejpam-6919	275	13	)	)	PUNCT
ejpam-6919	276	1	=	=	SYM
ejpam-6919	276	2	1−b(%,δ	1−b(%,δ	NOUN
ejpam-6919	276	3	,	,	PUNCT
ejpam-6919	276	4	τ	τ	NOUN
ejpam-6919	276	5	)	)	PUNCT
ejpam-6919	276	6	2	2	NUM
ejpam-6919	276	7	=	=	SYM
ejpam-6919	276	8	e	e	NOUN
ejpam-6919	276	9	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	276	10	τ	τ	PROPN
ejpam-6919	276	11	2	2	NUM
ejpam-6919	276	12	⇒	⇒	NOUN
ejpam-6919	276	13	1−	1−	NUM
ejpam-6919	276	14	b(l%,lδ	b(l%,lδ	NOUN
ejpam-6919	276	15	,	,	PUNCT
ejpam-6919	276	16	τ	τ	PROPN
ejpam-6919	276	17	)	)	PUNCT
ejpam-6919	276	18	≥	≥	NOUN
ejpam-6919	276	19	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	276	20	b(%	b(%	PROPN
ejpam-6919	276	21	,	,	PUNCT
ejpam-6919	276	22	δ	δ	PROPN
ejpam-6919	276	23	,	,	PUNCT
ejpam-6919	276	24	τ	τ	PROPN
ejpam-6919	276	25	)	)	PUNCT
ejpam-6919	276	26	)	)	PUNCT
ejpam-6919	276	27	.	.	PUNCT
ejpam-6919	277	1	on	on	ADP
ejpam-6919	277	2	the	the	DET
ejpam-6919	277	3	other	other	ADJ
ejpam-6919	277	4	hand	hand	NOUN
ejpam-6919	277	5	,	,	PUNCT
ejpam-6919	277	6	1−	1−	NUM
ejpam-6919	277	7	c(l%,lδ	c(l%,lδ	NUM
ejpam-6919	277	8	,	,	PUNCT
ejpam-6919	277	9	τ	τ	X
ejpam-6919	277	10	)	)	PUNCT
ejpam-6919	277	11	=	=	SYM
ejpam-6919	278	1	1−	1−	NUM
ejpam-6919	278	2	c	c	NOUN
ejpam-6919	278	3	(	(	PUNCT
ejpam-6919	278	4	%	%	NOUN
ejpam-6919	278	5	4	4	NUM
ejpam-6919	278	6	,	,	PUNCT
ejpam-6919	278	7	δ	δ	PROPN
ejpam-6919	278	8	4	4	NUM
ejpam-6919	278	9	,	,	PUNCT
ejpam-6919	278	10	τ	τ	PROPN
ejpam-6919	278	11	)	)	PUNCT
ejpam-6919	278	12	=	=	PUNCT
ejpam-6919	279	1	e	e	NOUN
ejpam-6919	279	2	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	279	3	8	8	NUM
ejpam-6919	279	4	t	t	NOUN
ejpam-6919	279	5	and	and	CCONJ
ejpam-6919	279	6	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	279	7	c(%	c(%	PROPN
ejpam-6919	279	8	,	,	PUNCT
ejpam-6919	279	9	δ	δ	PROPN
ejpam-6919	279	10	,	,	PUNCT
ejpam-6919	279	11	τ	τ	PROPN
ejpam-6919	279	12	)	)	PUNCT
ejpam-6919	279	13	)	)	PUNCT
ejpam-6919	280	1	=	=	SYM
ejpam-6919	280	2	1−c(%,δ	1−c(%,δ	NOUN
ejpam-6919	280	3	,	,	PUNCT
ejpam-6919	280	4	τ	τ	X
ejpam-6919	280	5	)	)	PUNCT
ejpam-6919	280	6	2	2	NUM
ejpam-6919	280	7	=	=	SYM
ejpam-6919	280	8	e	e	NOUN
ejpam-6919	280	9	−|%−δ|	−|%−δ|	NOUN
ejpam-6919	280	10	2τ	2τ	NUM
ejpam-6919	280	11	2	2	NUM
ejpam-6919	280	12	=	=	NOUN
ejpam-6919	280	13	⇒	⇒	NOUN
ejpam-6919	280	14	1−	1−	NUM
ejpam-6919	280	15	c(l%,lδ	c(l%,lδ	NUM
ejpam-6919	280	16	,	,	PUNCT
ejpam-6919	280	17	τ	τ	X
ejpam-6919	280	18	)	)	PUNCT
ejpam-6919	280	19	≥	≥	NOUN
ejpam-6919	280	20	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	280	21	c(%	c(%	PROPN
ejpam-6919	280	22	,	,	PUNCT
ejpam-6919	280	23	δ	δ	PROPN
ejpam-6919	280	24	,	,	PUNCT
ejpam-6919	280	25	τ	τ	PROPN
ejpam-6919	280	26	)	)	PUNCT
ejpam-6919	280	27	)	)	PUNCT
ejpam-6919	280	28	.	.	PUNCT
ejpam-6919	281	1	hence	hence	ADV
ejpam-6919	281	2	,	,	PUNCT
ejpam-6919	281	3	l	l	NOUN
ejpam-6919	281	4	satisfies	satisfie	NOUN
ejpam-6919	281	5	equation	equation	NOUN
ejpam-6919	281	6	(	(	PUNCT
ejpam-6919	281	7	1	1	NUM
ejpam-6919	281	8	)	)	PUNCT
ejpam-6919	281	9	.	.	PUNCT
ejpam-6919	282	1	so	so	ADV
ejpam-6919	282	2	by	by	ADP
ejpam-6919	282	3	theorem	theorem	NOUN
ejpam-6919	282	4	(	(	PUNCT
ejpam-6919	282	5	1	1	NUM
ejpam-6919	282	6	)	)	PUNCT
ejpam-6919	282	7	,	,	PUNCT
ejpam-6919	282	8	l	l	NOUN
ejpam-6919	282	9	has	have	VERB
ejpam-6919	282	10	a	a	DET
ejpam-6919	282	11	unique	unique	ADJ
ejpam-6919	282	12	fixed	fix	VERB
ejpam-6919	282	13	point	point	NOUN
ejpam-6919	282	14	in	in	ADP
ejpam-6919	282	15	ξ	ξ	PROPN
ejpam-6919	282	16	which	which	PRON
ejpam-6919	282	17	is	be	AUX
ejpam-6919	282	18	%	%	NOUN
ejpam-6919	282	19	=	=	SYM
ejpam-6919	282	20	0	0	NUM
ejpam-6919	282	21	.	.	PUNCT
ejpam-6919	283	1	the	the	DET
ejpam-6919	283	2	following	follow	VERB
ejpam-6919	283	3	figures	figure	NOUN
ejpam-6919	283	4	which	which	PRON
ejpam-6919	283	5	depict	depict	VERB
ejpam-6919	283	6	the	the	DET
ejpam-6919	283	7	behavior	behavior	NOUN
ejpam-6919	283	8	of	of	ADP
ejpam-6919	283	9	contraction	contraction	NOUN
ejpam-6919	283	10	mapping	mapping	NOUN
ejpam-6919	283	11	.	.	PUNCT
ejpam-6919	284	1	figure	figure	NOUN
ejpam-6919	284	2	1	1	NUM
ejpam-6919	284	3	:	:	PUNCT
ejpam-6919	284	4	figure	figure	NOUN
ejpam-6919	284	5	presents	present	VERB
ejpam-6919	284	6	the	the	DET
ejpam-6919	284	7	graphical	graphical	ADJ
ejpam-6919	284	8	depiction	depiction	NOUN
ejpam-6919	284	9	of	of	ADP
ejpam-6919	284	10	the	the	DET
ejpam-6919	284	11	inequality	inequality	NOUN
ejpam-6919	284	12	a(l%,lδ	a(l%,lδ	NOUN
ejpam-6919	284	13	,	,	PUNCT
ejpam-6919	284	14	τ	τ	PROPN
ejpam-6919	284	15	)	)	PUNCT
ejpam-6919	284	16	≥	≥	NOUN
ejpam-6919	284	17	ϕ(a(%	ϕ(a(%	NOUN
ejpam-6919	284	18	,	,	PUNCT
ejpam-6919	284	19	δ	δ	PROPN
ejpam-6919	284	20	,	,	PUNCT
ejpam-6919	284	21	τ	τ	PROPN
ejpam-6919	284	22	)	)	PUNCT
ejpam-6919	284	23	)	)	PUNCT
ejpam-6919	284	24	,	,	PUNCT
ejpam-6919	284	25	wherein	wherein	SCONJ
ejpam-6919	284	26	the	the	DET
ejpam-6919	284	27	left	left	ADJ
ejpam-6919	284	28	-	-	PUNCT
ejpam-6919	284	29	hand	hand	NOUN
ejpam-6919	284	30	side	side	NOUN
ejpam-6919	284	31	is	be	AUX
ejpam-6919	284	32	illustrated	illustrate	VERB
ejpam-6919	284	33	in	in	ADP
ejpam-6919	284	34	blue	blue	ADJ
ejpam-6919	284	35	,	,	PUNCT
ejpam-6919	284	36	while	while	SCONJ
ejpam-6919	284	37	the	the	DET
ejpam-6919	284	38	right	right	ADJ
ejpam-6919	284	39	-	-	PUNCT
ejpam-6919	284	40	hand	hand	NOUN
ejpam-6919	284	41	side	side	NOUN
ejpam-6919	284	42	is	be	AUX
ejpam-6919	284	43	illustrated	illustrate	VERB
ejpam-6919	284	44	in	in	ADP
ejpam-6919	284	45	yellow	yellow	PROPN
ejpam-6919	284	46	.	.	PUNCT
ejpam-6919	285	1	m.	m.	PROPN
ejpam-6919	285	2	pandiselvi	pandiselvi	PROPN
ejpam-6919	285	3	,	,	PUNCT
ejpam-6919	285	4	m.	m.	NOUN
ejpam-6919	285	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	285	6	,	,	PUNCT
ejpam-6919	285	7	m.	m.	NOUN
ejpam-6919	285	8	akram	akram	PROPN
ejpam-6919	285	9	/	/	PUNCT
ejpam-6919	285	10	eur	eur	PROPN
ejpam-6919	285	11	.	.	PUNCT
ejpam-6919	286	1	j.	j.	PROPN
ejpam-6919	286	2	pure	pure	PROPN
ejpam-6919	286	3	appl	appl	PROPN
ejpam-6919	286	4	.	.	PROPN
ejpam-6919	286	5	math	math	PROPN
ejpam-6919	286	6	,	,	PUNCT
ejpam-6919	286	7	18	18	NUM
ejpam-6919	286	8	(	(	PUNCT
ejpam-6919	286	9	4	4	NUM
ejpam-6919	286	10	)	)	PUNCT
ejpam-6919	286	11	(	(	PUNCT
ejpam-6919	286	12	2025	2025	NUM
ejpam-6919	286	13	)	)	PUNCT
ejpam-6919	286	14	,	,	PUNCT
ejpam-6919	286	15	6919	6919	NUM
ejpam-6919	286	16	10	10	NUM
ejpam-6919	286	17	of	of	ADP
ejpam-6919	286	18	16	16	NUM
ejpam-6919	286	19	figure	figure	NOUN
ejpam-6919	286	20	2	2	NUM
ejpam-6919	286	21	:	:	PUNCT
ejpam-6919	286	22	figure	figure	NOUN
ejpam-6919	286	23	presents	present	VERB
ejpam-6919	286	24	the	the	DET
ejpam-6919	286	25	graphical	graphical	ADJ
ejpam-6919	286	26	depiction	depiction	NOUN
ejpam-6919	286	27	of	of	ADP
ejpam-6919	286	28	the	the	DET
ejpam-6919	286	29	inequality	inequality	NOUN
ejpam-6919	286	30	1−b(l%,lδ	1−b(l%,lδ	NUM
ejpam-6919	286	31	,	,	PUNCT
ejpam-6919	286	32	τ	τ	PROPN
ejpam-6919	286	33	)	)	PUNCT
ejpam-6919	286	34	≥	≥	NOUN
ejpam-6919	286	35	ϕ(1−b(%	ϕ(1−b(%	NUM
ejpam-6919	286	36	,	,	PUNCT
ejpam-6919	286	37	δ	δ	PROPN
ejpam-6919	286	38	,	,	PUNCT
ejpam-6919	286	39	τ	τ	PROPN
ejpam-6919	286	40	)	)	PUNCT
ejpam-6919	286	41	)	)	PUNCT
ejpam-6919	286	42	,	,	PUNCT
ejpam-6919	286	43	wherein	wherein	SCONJ
ejpam-6919	286	44	the	the	DET
ejpam-6919	286	45	left	left	ADJ
ejpam-6919	286	46	-	-	PUNCT
ejpam-6919	286	47	hand	hand	NOUN
ejpam-6919	286	48	side	side	NOUN
ejpam-6919	286	49	is	be	AUX
ejpam-6919	286	50	illustrated	illustrate	VERB
ejpam-6919	286	51	in	in	ADP
ejpam-6919	286	52	blue	blue	ADJ
ejpam-6919	286	53	,	,	PUNCT
ejpam-6919	286	54	while	while	SCONJ
ejpam-6919	286	55	the	the	DET
ejpam-6919	286	56	right	right	ADJ
ejpam-6919	286	57	-	-	PUNCT
ejpam-6919	286	58	hand	hand	NOUN
ejpam-6919	286	59	side	side	NOUN
ejpam-6919	286	60	is	be	AUX
ejpam-6919	286	61	illustrated	illustrate	VERB
ejpam-6919	286	62	in	in	ADP
ejpam-6919	286	63	yellow	yellow	PROPN
ejpam-6919	286	64	.	.	PUNCT
ejpam-6919	287	1	figure	figure	NOUN
ejpam-6919	287	2	3	3	NUM
ejpam-6919	287	3	:	:	PUNCT
ejpam-6919	287	4	figure	figure	NOUN
ejpam-6919	287	5	presents	present	VERB
ejpam-6919	287	6	the	the	DET
ejpam-6919	287	7	graphical	graphical	ADJ
ejpam-6919	287	8	depiction	depiction	NOUN
ejpam-6919	287	9	of	of	ADP
ejpam-6919	287	10	the	the	DET
ejpam-6919	287	11	inequality	inequality	NOUN
ejpam-6919	287	12	1−c(l%,lδ	1−c(l%,lδ	NUM
ejpam-6919	287	13	,	,	PUNCT
ejpam-6919	287	14	τ	τ	PROPN
ejpam-6919	287	15	)	)	PUNCT
ejpam-6919	287	16	≥	≥	NOUN
ejpam-6919	287	17	ϕ(1−c(%	ϕ(1−c(%	NOUN
ejpam-6919	287	18	,	,	PUNCT
ejpam-6919	287	19	δ	δ	PROPN
ejpam-6919	287	20	,	,	PUNCT
ejpam-6919	287	21	τ)),,wherein	τ)),,wherein	PUNCT
ejpam-6919	287	22	the	the	DET
ejpam-6919	287	23	left	leave	VERB
ejpam-6919	287	24	-	-	PUNCT
ejpam-6919	287	25	hand	hand	NOUN
ejpam-6919	287	26	side	side	NOUN
ejpam-6919	287	27	is	be	AUX
ejpam-6919	287	28	illustrated	illustrate	VERB
ejpam-6919	287	29	in	in	ADP
ejpam-6919	287	30	blue	blue	ADJ
ejpam-6919	287	31	,	,	PUNCT
ejpam-6919	287	32	while	while	SCONJ
ejpam-6919	287	33	the	the	DET
ejpam-6919	287	34	right	right	ADJ
ejpam-6919	287	35	-	-	PUNCT
ejpam-6919	287	36	hand	hand	NOUN
ejpam-6919	287	37	side	side	NOUN
ejpam-6919	287	38	is	be	AUX
ejpam-6919	287	39	illustrated	illustrate	VERB
ejpam-6919	287	40	in	in	ADP
ejpam-6919	287	41	yellow	yellow	ADJ
ejpam-6919	287	42	.	.	PUNCT
ejpam-6919	288	1	4	4	X
ejpam-6919	288	2	.	.	X
ejpam-6919	288	3	application	application	NOUN
ejpam-6919	288	4	fixed	fix	VERB
ejpam-6919	288	5	-	-	PUNCT
ejpam-6919	288	6	point	point	NOUN
ejpam-6919	288	7	theory	theory	NOUN
ejpam-6919	288	8	is	be	AUX
ejpam-6919	288	9	fundamental	fundamental	ADJ
ejpam-6919	288	10	in	in	ADP
ejpam-6919	288	11	many	many	ADJ
ejpam-6919	288	12	disciplines	discipline	NOUN
ejpam-6919	288	13	,	,	PUNCT
ejpam-6919	288	14	such	such	ADJ
ejpam-6919	288	15	as	as	ADP
ejpam-6919	288	16	optimization	optimization	NOUN
ejpam-6919	288	17	,	,	PUNCT
ejpam-6919	288	18	control	control	NOUN
ejpam-6919	288	19	systems	system	NOUN
ejpam-6919	288	20	,	,	PUNCT
ejpam-6919	288	21	and	and	CCONJ
ejpam-6919	288	22	nonlinear	nonlinear	ADJ
ejpam-6919	288	23	analysis	analysis	NOUN
ejpam-6919	288	24	.	.	PUNCT
ejpam-6919	289	1	a	a	DET
ejpam-6919	289	2	remarkable	remarkable	ADJ
ejpam-6919	289	3	application	application	NOUN
ejpam-6919	289	4	can	can	AUX
ejpam-6919	289	5	be	be	AUX
ejpam-6919	289	6	found	find	VERB
ejpam-6919	289	7	in	in	ADP
ejpam-6919	289	8	satellite	satellite	NOUN
ejpam-6919	289	9	web	web	NOUN
ejpam-6919	289	10	coupling	coupling	NOUN
ejpam-6919	289	11	,	,	PUNCT
ejpam-6919	289	12	which	which	PRON
ejpam-6919	289	13	aims	aim	VERB
ejpam-6919	289	14	to	to	PART
ejpam-6919	289	15	enhance	enhance	VERB
ejpam-6919	289	16	the	the	DET
ejpam-6919	289	17	stability	stability	NOUN
ejpam-6919	289	18	and	and	CCONJ
ejpam-6919	289	19	performance	performance	NOUN
ejpam-6919	289	20	of	of	ADP
ejpam-6919	289	21	satellite	satellite	NOUN
ejpam-6919	289	22	networks	network	NOUN
ejpam-6919	289	23	utilized	utilize	VERB
ejpam-6919	289	24	for	for	ADP
ejpam-6919	289	25	communication	communication	NOUN
ejpam-6919	289	26	,	,	PUNCT
ejpam-6919	289	27	navigation	navigation	NOUN
ejpam-6919	289	28	,	,	PUNCT
ejpam-6919	289	29	and	and	CCONJ
ejpam-6919	289	30	remote	remote	ADJ
ejpam-6919	289	31	sensing	sensing	NOUN
ejpam-6919	289	32	.	.	PUNCT
ejpam-6919	290	1	by	by	ADP
ejpam-6919	290	2	leveraging	leverage	VERB
ejpam-6919	290	3	fixed	fix	VERB
ejpam-6919	290	4	-	-	PUNCT
ejpam-6919	290	5	point	point	NOUN
ejpam-6919	290	6	techniques	technique	NOUN
ejpam-6919	290	7	,	,	PUNCT
ejpam-6919	290	8	researchers	researcher	NOUN
ejpam-6919	290	9	have	have	AUX
ejpam-6919	290	10	developed	develop	VERB
ejpam-6919	290	11	algorithms	algorithm	NOUN
ejpam-6919	290	12	that	that	PRON
ejpam-6919	290	13	refine	refine	VERB
ejpam-6919	290	14	satellite	satellite	NOUN
ejpam-6919	290	15	trajectory	trajectory	NOUN
ejpam-6919	290	16	optimization	optimization	NOUN
ejpam-6919	290	17	and	and	CCONJ
ejpam-6919	290	18	improve	improve	VERB
ejpam-6919	290	19	the	the	DET
ejpam-6919	290	20	stability	stability	NOUN
ejpam-6919	290	21	of	of	ADP
ejpam-6919	290	22	inter	inter	ADJ
ejpam-6919	290	23	-	-	ADJ
ejpam-6919	290	24	satellite	satellite	ADJ
ejpam-6919	290	25	connections	connection	NOUN
ejpam-6919	290	26	.	.	PUNCT
ejpam-6919	291	1	drawing	draw	VERB
ejpam-6919	291	2	on	on	ADP
ejpam-6919	291	3	the	the	DET
ejpam-6919	291	4	demonstrated	demonstrate	VERB
ejpam-6919	291	5	effectiveness	effectiveness	NOUN
ejpam-6919	291	6	of	of	ADP
ejpam-6919	291	7	fixed	fix	VERB
ejpam-6919	291	8	-	-	PUNCT
ejpam-6919	291	9	point	point	NOUN
ejpam-6919	291	10	techniques	technique	NOUN
ejpam-6919	291	11	in	in	ADP
ejpam-6919	291	12	tackling	tackle	VERB
ejpam-6919	291	13	practical	practical	ADJ
ejpam-6919	291	14	problems	problem	NOUN
ejpam-6919	291	15	,	,	PUNCT
ejpam-6919	291	16	this	this	DET
ejpam-6919	291	17	work	work	NOUN
ejpam-6919	291	18	applies	apply	VERB
ejpam-6919	291	19	theorem	theorem	NOUN
ejpam-6919	291	20	(	(	PUNCT
ejpam-6919	291	21	1	1	NUM
ejpam-6919	291	22	)	)	PUNCT
ejpam-6919	291	23	to	to	PART
ejpam-6919	291	24	solve	solve	VERB
ejpam-6919	291	25	a	a	DET
ejpam-6919	291	26	satellite	satellite	NOUN
ejpam-6919	291	27	web	web	NOUN
ejpam-6919	291	28	coupling	coupling	NOUN
ejpam-6919	291	29	problem	problem	NOUN
ejpam-6919	291	30	.	.	PUNCT
ejpam-6919	292	1	this	this	DET
ejpam-6919	292	2	problem	problem	NOUN
ejpam-6919	292	3	considers	consider	VERB
ejpam-6919	292	4	a	a	DET
ejpam-6919	292	5	thin	thin	ADJ
ejpam-6919	292	6	sheet	sheet	NOUN
ejpam-6919	292	7	that	that	PRON
ejpam-6919	292	8	connects	connect	VERB
ejpam-6919	292	9	two	two	NUM
ejpam-6919	292	10	cylindrical	cylindrical	ADJ
ejpam-6919	292	11	satellites	satellite	NOUN
ejpam-6919	292	12	,	,	PUNCT
ejpam-6919	292	13	forming	form	VERB
ejpam-6919	292	14	a	a	DET
ejpam-6919	292	15	web	web	NOUN
ejpam-6919	292	16	-	-	ADJ
ejpam-6919	292	17	like	like	ADJ
ejpam-6919	292	18	structure	structure	NOUN
ejpam-6919	292	19	.	.	PUNCT
ejpam-6919	293	1	the	the	DET
ejpam-6919	293	2	thermal	thermal	ADJ
ejpam-6919	293	3	radiation	radiation	NOUN
ejpam-6919	293	4	transfer	transfer	NOUN
ejpam-6919	293	5	between	between	ADP
ejpam-6919	293	6	the	the	DET
ejpam-6919	293	7	satellites	satellite	NOUN
ejpam-6919	293	8	via	via	ADP
ejpam-6919	293	9	this	this	DET
ejpam-6919	293	10	web	web	NOUN
ejpam-6919	293	11	leads	lead	VERB
ejpam-6919	293	12	to	to	ADP
ejpam-6919	293	13	a	a	DET
ejpam-6919	293	14	m.	m.	NOUN
ejpam-6919	293	15	pandiselvi	pandiselvi	NOUN
ejpam-6919	293	16	,	,	PUNCT
ejpam-6919	293	17	m.	m.	NOUN
ejpam-6919	293	18	jeyaraman	jeyaraman	PROPN
ejpam-6919	293	19	,	,	PUNCT
ejpam-6919	293	20	m.	m.	NOUN
ejpam-6919	293	21	akram	akram	PROPN
ejpam-6919	293	22	/	/	PUNCT
ejpam-6919	293	23	eur	eur	PROPN
ejpam-6919	293	24	.	.	PUNCT
ejpam-6919	294	1	j.	j.	PROPN
ejpam-6919	294	2	pure	pure	PROPN
ejpam-6919	294	3	appl	appl	PROPN
ejpam-6919	294	4	.	.	PROPN
ejpam-6919	294	5	math	math	PROPN
ejpam-6919	294	6	,	,	PUNCT
ejpam-6919	294	7	18	18	NUM
ejpam-6919	294	8	(	(	PUNCT
ejpam-6919	294	9	4	4	NUM
ejpam-6919	294	10	)	)	PUNCT
ejpam-6919	294	11	(	(	PUNCT
ejpam-6919	294	12	2025	2025	NUM
ejpam-6919	294	13	)	)	PUNCT
ejpam-6919	294	14	,	,	PUNCT
ejpam-6919	294	15	6919	6919	NUM
ejpam-6919	294	16	11	11	NUM
ejpam-6919	294	17	of	of	ADP
ejpam-6919	294	18	16	16	NUM
ejpam-6919	294	19	nonlinear	nonlinear	ADJ
ejpam-6919	294	20	boundary	boundary	ADJ
ejpam-6919	294	21	value	value	NOUN
ejpam-6919	294	22	problem	problem	NOUN
ejpam-6919	294	23	governing	govern	VERB
ejpam-6919	294	24	the	the	DET
ejpam-6919	294	25	temperature	temperature	NOUN
ejpam-6919	294	26	distribution	distribution	NOUN
ejpam-6919	294	27	.	.	PUNCT
ejpam-6919	295	1	the	the	DET
ejpam-6919	295	2	governing	govern	VERB
ejpam-6919	295	3	differential	differential	ADJ
ejpam-6919	295	4	equation	equation	NOUN
ejpam-6919	295	5	for	for	ADP
ejpam-6919	295	6	the	the	DET
ejpam-6919	295	7	radiation	radiation	NOUN
ejpam-6919	295	8	temperature	temperature	NOUN
ejpam-6919	295	9	is	be	AUX
ejpam-6919	295	10	given	give	VERB
ejpam-6919	295	11	by	by	ADP
ejpam-6919	295	12	−d	−d	ADJ
ejpam-6919	295	13	2	2	NUM
ejpam-6919	295	14	$	$	SYM
ejpam-6919	295	15	dτ2	dτ2	NOUN
ejpam-6919	295	16	=	=	SYM
ejpam-6919	295	17	µ$4	µ$4	ADJ
ejpam-6919	295	18	,	,	PUNCT
ejpam-6919	295	19	0	0	PUNCT
ejpam-6919	295	20	<	<	X
ejpam-6919	295	21	τ	τ	X
ejpam-6919	295	22	<	<	X
ejpam-6919	295	23	a	a	PROPN
ejpam-6919	295	24	,	,	PUNCT
ejpam-6919	295	25	a	a	DET
ejpam-6919	295	26	<	<	X
ejpam-6919	295	27	1	1	NUM
ejpam-6919	295	28	,	,	PUNCT
ejpam-6919	295	29	$	$	SYM
ejpam-6919	295	30	(	(	PUNCT
ejpam-6919	295	31	0	0	NUM
ejpam-6919	295	32	)	)	PUNCT
ejpam-6919	295	33	=	=	SYM
ejpam-6919	296	1	$	$	SYM
ejpam-6919	296	2	(	(	PUNCT
ejpam-6919	296	3	a	a	NOUN
ejpam-6919	296	4	)	)	PUNCT
ejpam-6919	296	5	=	=	SYM
ejpam-6919	296	6	0	0	NUM
ejpam-6919	296	7	(	(	PUNCT
ejpam-6919	296	8	13	13	NUM
ejpam-6919	296	9	)	)	PUNCT
ejpam-6919	296	10	in	in	ADP
ejpam-6919	296	11	this	this	DET
ejpam-6919	296	12	setting	setting	NOUN
ejpam-6919	296	13	,	,	PUNCT
ejpam-6919	296	14	$	$	SYM
ejpam-6919	296	15	(	(	PUNCT
ejpam-6919	296	16	τ	τ	NOUN
ejpam-6919	296	17	)	)	PUNCT
ejpam-6919	296	18	denotes	denote	VERB
ejpam-6919	296	19	the	the	DET
ejpam-6919	296	20	radiation	radiation	NOUN
ejpam-6919	296	21	temperature	temperature	NOUN
ejpam-6919	296	22	at	at	ADP
ejpam-6919	296	23	the	the	DET
ejpam-6919	296	24	position	position	NOUN
ejpam-6919	296	25	τ	τ	X
ejpam-6919	296	26	∈	∈	PROPN
ejpam-6919	297	1	[	[	X
ejpam-6919	297	2	0	0	NUM
ejpam-6919	297	3	,	,	PUNCT
ejpam-6919	297	4	a	a	PRON
ejpam-6919	297	5	]	]	X
ejpam-6919	297	6	.	.	PUNCT
ejpam-6919	298	1	the	the	DET
ejpam-6919	298	2	parameter	parameter	NOUN
ejpam-6919	298	3	µ	µ	X
ejpam-6919	298	4	=	=	SYM
ejpam-6919	298	5	2al2k3	2al2k3	PROPN
ejpam-6919	298	6	ζh	ζh	NOUN
ejpam-6919	298	7	>	>	X
ejpam-6919	298	8	0	0	PUNCT
ejpam-6919	298	9	is	be	AUX
ejpam-6919	298	10	a	a	DET
ejpam-6919	298	11	positive	positive	ADJ
ejpam-6919	298	12	,	,	PUNCT
ejpam-6919	298	13	dimensionless	dimensionless	NOUN
ejpam-6919	298	14	constant	constant	ADJ
ejpam-6919	298	15	,	,	PUNCT
ejpam-6919	298	16	where	where	SCONJ
ejpam-6919	298	17	k	k	PROPN
ejpam-6919	298	18	is	be	AUX
ejpam-6919	298	19	the	the	DET
ejpam-6919	298	20	absolute	absolute	ADJ
ejpam-6919	298	21	temperature	temperature	NOUN
ejpam-6919	298	22	of	of	ADP
ejpam-6919	298	23	both	both	DET
ejpam-6919	298	24	satellites	satellite	NOUN
ejpam-6919	298	25	and	and	CCONJ
ejpam-6919	298	26	the	the	DET
ejpam-6919	298	27	web	web	NOUN
ejpam-6919	298	28	surface	surface	NOUN
ejpam-6919	298	29	is	be	AUX
ejpam-6919	298	30	assumed	assume	VERB
ejpam-6919	298	31	to	to	PART
ejpam-6919	298	32	radiate	radiate	VERB
ejpam-6919	298	33	at	at	ADP
ejpam-6919	298	34	absolute	absolute	ADJ
ejpam-6919	298	35	zero	zero	NUM
ejpam-6919	298	36	.	.	PUNCT
ejpam-6919	299	1	here	here	ADV
ejpam-6919	299	2	,	,	PUNCT
ejpam-6919	299	3	l	l	NOUN
ejpam-6919	299	4	represents	represent	VERB
ejpam-6919	299	5	the	the	DET
ejpam-6919	299	6	distance	distance	NOUN
ejpam-6919	299	7	between	between	ADP
ejpam-6919	299	8	the	the	DET
ejpam-6919	299	9	satellites	satellite	NOUN
ejpam-6919	299	10	,	,	PUNCT
ejpam-6919	299	11	a	a	PRON
ejpam-6919	299	12	is	be	AUX
ejpam-6919	299	13	a	a	DET
ejpam-6919	299	14	positive	positive	ADJ
ejpam-6919	299	15	constant	constant	ADJ
ejpam-6919	299	16	describing	describe	VERB
ejpam-6919	299	17	the	the	DET
ejpam-6919	299	18	radiative	radiative	ADJ
ejpam-6919	299	19	characteristics	characteristic	NOUN
ejpam-6919	299	20	of	of	ADP
ejpam-6919	299	21	the	the	DET
ejpam-6919	299	22	web	web	NOUN
ejpam-6919	299	23	surface	surface	NOUN
ejpam-6919	299	24	,	,	PUNCT
ejpam-6919	299	25	the	the	DET
ejpam-6919	299	26	factor	factor	NOUN
ejpam-6919	299	27	2	2	NUM
ejpam-6919	299	28	arises	arise	VERB
ejpam-6919	299	29	from	from	ADP
ejpam-6919	299	30	radiation	radiation	NOUN
ejpam-6919	299	31	emitted	emit	VERB
ejpam-6919	299	32	from	from	ADP
ejpam-6919	299	33	both	both	CCONJ
ejpam-6919	299	34	its	its	PRON
ejpam-6919	299	35	upper	upper	ADJ
ejpam-6919	299	36	and	and	CCONJ
ejpam-6919	299	37	lower	low	ADJ
ejpam-6919	299	38	faces	face	NOUN
ejpam-6919	299	39	,	,	PUNCT
ejpam-6919	299	40	ζ	ζ	NOUN
ejpam-6919	299	41	is	be	AUX
ejpam-6919	299	42	the	the	DET
ejpam-6919	299	43	thermal	thermal	ADJ
ejpam-6919	299	44	conductivity	conductivity	NOUN
ejpam-6919	299	45	,	,	PUNCT
ejpam-6919	299	46	and	and	CCONJ
ejpam-6919	299	47	h	h	NOUN
ejpam-6919	299	48	denotes	denote	VERB
ejpam-6919	299	49	the	the	DET
ejpam-6919	299	50	web	web	NOUN
ejpam-6919	299	51	thickness	thickness	NOUN
ejpam-6919	299	52	.	.	PUNCT
ejpam-6919	300	1	we	we	PRON
ejpam-6919	300	2	now	now	ADV
ejpam-6919	300	3	recall	recall	VERB
ejpam-6919	300	4	the	the	DET
ejpam-6919	300	5	equivalent	equivalent	ADJ
ejpam-6919	300	6	integral	integral	ADJ
ejpam-6919	300	7	equation	equation	NOUN
ejpam-6919	300	8	:	:	PUNCT
ejpam-6919	300	9	$	$	SYM
ejpam-6919	300	10	(	(	PUNCT
ejpam-6919	300	11	τ	τ	X
ejpam-6919	300	12	)	)	PUNCT
ejpam-6919	300	13	=	=	SYM
ejpam-6919	301	1	1−	1−	NUM
ejpam-6919	301	2	µ	µ	X
ejpam-6919	301	3	∫	∫	NOUN
ejpam-6919	301	4	a	a	DET
ejpam-6919	301	5	0	0	NUM
ejpam-6919	301	6	q(τ	q(τ	PROPN
ejpam-6919	301	7	,	,	PUNCT
ejpam-6919	301	8	ζ)$4(ζ)dζ	ζ)$4(ζ)dζ	PROPN
ejpam-6919	301	9	,	,	PUNCT
ejpam-6919	301	10	where	where	SCONJ
ejpam-6919	301	11	a<1,q(τ	a<1,q(τ	NOUN
ejpam-6919	301	12	,	,	PUNCT
ejpam-6919	301	13	ζ	ζ	NOUN
ejpam-6919	301	14	)	)	PUNCT
ejpam-6919	301	15	denotes	denote	VERB
ejpam-6919	301	16	the	the	DET
ejpam-6919	301	17	associated	associated	PROPN
ejpam-6919	301	18	green	green	PROPN
ejpam-6919	301	19	’s	’s	PART
ejpam-6919	301	20	function	function	NOUN
ejpam-6919	301	21	,	,	PUNCT
ejpam-6919	301	22	given	give	VERB
ejpam-6919	301	23	by	by	ADP
ejpam-6919	301	24	q(λ	q(λ	NOUN
ejpam-6919	301	25	,	,	PUNCT
ejpam-6919	301	26	ζ	ζ	NOUN
ejpam-6919	301	27	)	)	PUNCT
ejpam-6919	301	28	=	=	NOUN
ejpam-6919	301	29	{	{	PUNCT
ejpam-6919	301	30	λ(1−	λ(1−	PROPN
ejpam-6919	301	31	ζ	ζ	NOUN
ejpam-6919	301	32	)	)	PUNCT
ejpam-6919	301	33	,	,	PUNCT
ejpam-6919	301	34	0	0	PUNCT
ejpam-6919	302	1	<	<	X
ejpam-6919	302	2	λ	λ	X
ejpam-6919	302	3	<	<	X
ejpam-6919	302	4	ζ	ζ	PROPN
ejpam-6919	302	5	ζ(1−	ζ(1−	PROPN
ejpam-6919	302	6	λ	λ	PROPN
ejpam-6919	302	7	)	)	PUNCT
ejpam-6919	302	8	,	,	PUNCT
ejpam-6919	302	9	ζ	ζ	NOUN
ejpam-6919	302	10	<	<	X
ejpam-6919	302	11	λ	λ	X
ejpam-6919	302	12	<	<	X
ejpam-6919	302	13	a	a	DET
ejpam-6919	302	14	let	let	NOUN
ejpam-6919	302	15	ξ	ξ	X
ejpam-6919	302	16	=	=	SYM
ejpam-6919	302	17	c[0	c[0	PROPN
ejpam-6919	302	18	,	,	PUNCT
ejpam-6919	302	19	a	a	PRON
ejpam-6919	302	20	]	]	X
ejpam-6919	302	21	,	,	PUNCT
ejpam-6919	302	22	a	a	DET
ejpam-6919	302	23	<	<	X
ejpam-6919	302	24	1	1	NUM
ejpam-6919	302	25	be	be	AUX
ejpam-6919	302	26	the	the	DET
ejpam-6919	302	27	space	space	NOUN
ejpam-6919	302	28	of	of	ADP
ejpam-6919	302	29	all	all	DET
ejpam-6919	302	30	real	real	ADV
ejpam-6919	302	31	valued	value	VERB
ejpam-6919	302	32	continuous	continuous	ADJ
ejpam-6919	302	33	functions	function	NOUN
ejpam-6919	302	34	on	on	ADP
ejpam-6919	302	35	[	[	X
ejpam-6919	302	36	0	0	NUM
ejpam-6919	302	37	,	,	PUNCT
ejpam-6919	302	38	a	a	DET
ejpam-6919	302	39	]	]	X
ejpam-6919	302	40	.	.	PUNCT
ejpam-6919	303	1	we	we	PRON
ejpam-6919	303	2	efine	efine	VERB
ejpam-6919	303	3	the	the	DET
ejpam-6919	303	4	mappings	mapping	NOUN
ejpam-6919	303	5	a	a	DET
ejpam-6919	303	6	,	,	PUNCT
ejpam-6919	303	7	b	b	NOUN
ejpam-6919	303	8	,	,	PUNCT
ejpam-6919	303	9	c	c	NOUN
ejpam-6919	303	10	:	:	PUNCT
ejpam-6919	304	1	ξ×	ξ×	PROPN
ejpam-6919	304	2	ξ×	ξ×	PROPN
ejpam-6919	304	3	(	(	PUNCT
ejpam-6919	304	4	0,∞	0,∞	NOUN
ejpam-6919	304	5	)	)	PUNCT
ejpam-6919	304	6	→	→	PUNCT
ejpam-6919	305	1	[	[	X
ejpam-6919	305	2	0	0	NUM
ejpam-6919	305	3	,	,	PUNCT
ejpam-6919	305	4	a	a	PRON
ejpam-6919	305	5	]	]	X
ejpam-6919	305	6	as	as	SCONJ
ejpam-6919	305	7	follows	follow	VERB
ejpam-6919	305	8	:	:	PUNCT
ejpam-6919	305	9	a(ζ	a(ζ	PROPN
ejpam-6919	305	10	,	,	PUNCT
ejpam-6919	305	11	η	η	PROPN
ejpam-6919	305	12	,	,	PUNCT
ejpam-6919	305	13	τ	τ	X
ejpam-6919	305	14	)	)	PUNCT
ejpam-6919	305	15	=	=	SYM
ejpam-6919	306	1	e−	e−	X
ejpam-6919	306	2	sups∈[0,a	sups∈[0,a	NOUN
ejpam-6919	306	3	]	]	PUNCT
ejpam-6919	306	4	|ζ(s)−	|ζ(s)−	ADP
ejpam-6919	306	5	η(s)|2	η(s)|2	PROPN
ejpam-6919	306	6	τ	τ	PROPN
ejpam-6919	306	7	,	,	PUNCT
ejpam-6919	306	8	b(ζ	b(ζ	PROPN
ejpam-6919	306	9	,	,	PUNCT
ejpam-6919	306	10	η	η	PROPN
ejpam-6919	306	11	,	,	PUNCT
ejpam-6919	306	12	τ	τ	X
ejpam-6919	306	13	)	)	PUNCT
ejpam-6919	306	14	=	=	SYM
ejpam-6919	306	15	1−	1−	NUM
ejpam-6919	307	1	e−	e−	X
ejpam-6919	307	2	sups∈[0,a	sups∈[0,a	X
ejpam-6919	307	3	]	]	PUNCT
ejpam-6919	307	4	|ζ(s)−	|ζ(s)−	ADP
ejpam-6919	307	5	η(s)|2	η(s)|2	PROPN
ejpam-6919	307	6	τ	τ	PROPN
ejpam-6919	307	7	and	and	CCONJ
ejpam-6919	307	8	c(ζ	c(ζ	PROPN
ejpam-6919	307	9	,	,	PUNCT
ejpam-6919	307	10	η	η	PROPN
ejpam-6919	307	11	,	,	PUNCT
ejpam-6919	307	12	τ	τ	X
ejpam-6919	307	13	)	)	PUNCT
ejpam-6919	307	14	=	=	SYM
ejpam-6919	307	15	1−	1−	NUM
ejpam-6919	308	1	e−	e−	X
ejpam-6919	308	2	sups∈[0,a	sups∈[0,a	X
ejpam-6919	308	3	]	]	PUNCT
ejpam-6919	308	4	|ζ(s)−	|ζ(s)−	ADP
ejpam-6919	309	1	η(s)|2	η(s)|2	PROPN
ejpam-6919	309	2	2τ	2τ	NUM
ejpam-6919	309	3	for	for	ADP
ejpam-6919	309	4	all	all	DET
ejpam-6919	309	5	ζ	ζ	NOUN
ejpam-6919	309	6	,	,	PUNCT
ejpam-6919	309	7	η	η	PROPN
ejpam-6919	309	8	∈	∈	PROPN
ejpam-6919	309	9	x	x	X
ejpam-6919	309	10	and	and	CCONJ
ejpam-6919	309	11	τ	τ	X
ejpam-6919	309	12	>	>	X
ejpam-6919	309	13	0	0	NUM
ejpam-6919	309	14	.	.	PUNCT
ejpam-6919	310	1	with	with	ADP
ejpam-6919	310	2	these	these	PRON
ejpam-6919	310	3	,	,	PUNCT
ejpam-6919	310	4	the	the	DET
ejpam-6919	310	5	structure	structure	NOUN
ejpam-6919	310	6	(	(	PUNCT
ejpam-6919	310	7	ξ	ξ	PROPN
ejpam-6919	310	8	,	,	PUNCT
ejpam-6919	310	9	a	a	DET
ejpam-6919	310	10	,	,	PUNCT
ejpam-6919	310	11	b	b	NOUN
ejpam-6919	310	12	,	,	PUNCT
ejpam-6919	310	13	c	c	X
ejpam-6919	310	14	,	,	PUNCT
ejpam-6919	310	15	f	f	PROPN
ejpam-6919	310	16	,	,	PUNCT
ejpam-6919	310	17	λ	λ	PROPN
ejpam-6919	310	18	,	,	PUNCT
ejpam-6919	310	19	?	?	PUNCT
ejpam-6919	310	20	,	,	PUNCT
ejpam-6919	310	21	♦	♦	PROPN
ejpam-6919	310	22	)	)	PUNCT
ejpam-6919	310	23	forms	form	VERB
ejpam-6919	310	24	a	a	DET
ejpam-6919	310	25	complete	complete	ADJ
ejpam-6919	310	26	nfms	nfms	NOUN
ejpam-6919	310	27	,	,	PUNCT
ejpam-6919	310	28	where	where	SCONJ
ejpam-6919	310	29	a	a	PRON
ejpam-6919	310	30	?	?	PUNCT
ejpam-6919	311	1	b	b	NOUN
ejpam-6919	311	2	=	=	SYM
ejpam-6919	311	3	min{a	min{a	NOUN
ejpam-6919	311	4	,	,	PUNCT
ejpam-6919	311	5	b	b	NOUN
ejpam-6919	311	6	}	}	PUNCT
ejpam-6919	311	7	,	,	PUNCT
ejpam-6919	311	8	a	a	DET
ejpam-6919	311	9	♦	♦	PROPN
ejpam-6919	311	10	b	b	PROPN
ejpam-6919	311	11	=	=	SYM
ejpam-6919	311	12	max{a	max{a	PROPN
ejpam-6919	311	13	,	,	PUNCT
ejpam-6919	311	14	b	b	NOUN
ejpam-6919	311	15	}	}	PUNCT
ejpam-6919	311	16	.	.	PUNCT
ejpam-6919	312	1	theorem	theorem	NOUN
ejpam-6919	312	2	2	2	NUM
ejpam-6919	312	3	.	.	X
ejpam-6919	312	4	consider	consider	VERB
ejpam-6919	312	5	the	the	DET
ejpam-6919	312	6	complete	complete	ADJ
ejpam-6919	312	7	nfms	nfms	NOUN
ejpam-6919	312	8	(	(	PUNCT
ejpam-6919	312	9	ξ	ξ	PROPN
ejpam-6919	312	10	,	,	PUNCT
ejpam-6919	312	11	a	a	DET
ejpam-6919	312	12	,	,	PUNCT
ejpam-6919	312	13	b	b	NOUN
ejpam-6919	312	14	,	,	PUNCT
ejpam-6919	312	15	c	c	X
ejpam-6919	312	16	,	,	PUNCT
ejpam-6919	312	17	f	f	PROPN
ejpam-6919	312	18	,	,	PUNCT
ejpam-6919	312	19	λ	λ	PROPN
ejpam-6919	312	20	,	,	PUNCT
ejpam-6919	312	21	?	?	PUNCT
ejpam-6919	312	22	,	,	PUNCT
ejpam-6919	312	23	♦	♦	PROPN
ejpam-6919	312	24	)	)	PUNCT
ejpam-6919	312	25	described	describe	VERB
ejpam-6919	312	26	earlier	early	ADV
ejpam-6919	312	27	.	.	PUNCT
ejpam-6919	313	1	assume	assume	VERB
ejpam-6919	313	2	that	that	SCONJ
ejpam-6919	313	3	the	the	DET
ejpam-6919	313	4	boundary	boundary	ADJ
ejpam-6919	313	5	value	value	NOUN
ejpam-6919	313	6	problem	problem	NOUN
ejpam-6919	313	7	satisfies	satisfy	VERB
ejpam-6919	313	8	the	the	DET
ejpam-6919	313	9	inequality	inequality	NOUN
ejpam-6919	313	10	sup	sup	NOUN
ejpam-6919	313	11	ζ∈[0,a	ζ∈[0,a	NOUN
ejpam-6919	313	12	]	]	PUNCT
ejpam-6919	313	13	∣∣($2(ζ	∣∣($2(ζ	NOUN
ejpam-6919	313	14	)	)	PUNCT
ejpam-6919	313	15	+	+	PUNCT
ejpam-6919	313	16	v2(ζ	v2(ζ	X
ejpam-6919	313	17	)	)	PUNCT
ejpam-6919	313	18	)	)	PUNCT
ejpam-6919	314	1	(	(	PUNCT
ejpam-6919	314	2	$	$	SYM
ejpam-6919	314	3	(	(	PUNCT
ejpam-6919	314	4	ζ	ζ	NOUN
ejpam-6919	314	5	)	)	PUNCT
ejpam-6919	315	1	+	+	CCONJ
ejpam-6919	315	2	v(ζ	v(ζ	PROPN
ejpam-6919	315	3	)	)	PUNCT
ejpam-6919	315	4	)	)	PUNCT
ejpam-6919	316	1	∣∣	∣∣	NUM
ejpam-6919	316	2	≤	≤	ADV
ejpam-6919	316	3	k	k	X
ejpam-6919	316	4	µ	µ	X
ejpam-6919	316	5	where	where	SCONJ
ejpam-6919	316	6	k	k	PROPN
ejpam-6919	316	7	∈	∈	PROPN
ejpam-6919	316	8	(	(	PUNCT
ejpam-6919	316	9	0	0	NUM
ejpam-6919	316	10	,	,	PUNCT
ejpam-6919	316	11	4	4	NUM
ejpam-6919	316	12	)	)	PUNCT
ejpam-6919	316	13	under	under	ADP
ejpam-6919	316	14	these	these	DET
ejpam-6919	316	15	conditions	condition	NOUN
ejpam-6919	316	16	the	the	DET
ejpam-6919	316	17	problem	problem	NOUN
ejpam-6919	316	18	(	(	PUNCT
ejpam-6919	316	19	i	i	NOUN
ejpam-6919	316	20	)	)	PUNCT
ejpam-6919	316	21	admits	admit	VERB
ejpam-6919	316	22	a	a	DET
ejpam-6919	316	23	unique	unique	ADJ
ejpam-6919	316	24	solution	solution	NOUN
ejpam-6919	316	25	.	.	PUNCT
ejpam-6919	317	1	proof	proof	NOUN
ejpam-6919	317	2	.	.	PUNCT
ejpam-6919	318	1	define	define	VERB
ejpam-6919	318	2	mapping	mapping	NOUN
ejpam-6919	318	3	h	h	NOUN
ejpam-6919	318	4	:	:	PUNCT
ejpam-6919	318	5	ξ	ξ	X
ejpam-6919	318	6	→	→	SYM
ejpam-6919	318	7	ξ	ξ	X
ejpam-6919	318	8	by	by	ADP
ejpam-6919	318	9	h($(τ	h($(τ	NUM
ejpam-6919	318	10	)	)	PUNCT
ejpam-6919	318	11	)	)	PUNCT
ejpam-6919	319	1	=	=	SYM
ejpam-6919	320	1	1−	1−	NUM
ejpam-6919	320	2	µ	µ	X
ejpam-6919	320	3	∫	∫	NOUN
ejpam-6919	320	4	a	a	DET
ejpam-6919	320	5	0	0	NUM
ejpam-6919	320	6	q(τ	q(τ	PROPN
ejpam-6919	320	7	,	,	PUNCT
ejpam-6919	320	8	ζ)$4(ζ)dζ	ζ)$4(ζ)dζ	NUM
ejpam-6919	320	9	,	,	PUNCT
ejpam-6919	320	10	ζ	ζ	PROPN
ejpam-6919	320	11	∈	∈	NOUN
ejpam-6919	321	1	[	[	X
ejpam-6919	321	2	0	0	NUM
ejpam-6919	321	3	,	,	PUNCT
ejpam-6919	321	4	a	a	PRON
ejpam-6919	321	5	]	]	X
ejpam-6919	321	6	,	,	PUNCT
ejpam-6919	321	7	a	a	DET
ejpam-6919	321	8	<	<	X
ejpam-6919	321	9	1	1	NUM
ejpam-6919	321	10	.	.	PUNCT
ejpam-6919	321	11	m.	m.	NOUN
ejpam-6919	321	12	pandiselvi	pandiselvi	PROPN
ejpam-6919	321	13	,	,	PUNCT
ejpam-6919	321	14	m.	m.	NOUN
ejpam-6919	321	15	jeyaraman	jeyaraman	PROPN
ejpam-6919	321	16	,	,	PUNCT
ejpam-6919	321	17	m.	m.	NOUN
ejpam-6919	321	18	akram	akram	PROPN
ejpam-6919	321	19	/	/	PUNCT
ejpam-6919	321	20	eur	eur	PROPN
ejpam-6919	321	21	.	.	PUNCT
ejpam-6919	322	1	j.	j.	PROPN
ejpam-6919	322	2	pure	pure	PROPN
ejpam-6919	322	3	appl	appl	PROPN
ejpam-6919	322	4	.	.	PROPN
ejpam-6919	322	5	math	math	PROPN
ejpam-6919	322	6	,	,	PUNCT
ejpam-6919	322	7	18	18	NUM
ejpam-6919	322	8	(	(	PUNCT
ejpam-6919	322	9	4	4	NUM
ejpam-6919	322	10	)	)	PUNCT
ejpam-6919	322	11	(	(	PUNCT
ejpam-6919	322	12	2025	2025	NUM
ejpam-6919	322	13	)	)	PUNCT
ejpam-6919	322	14	,	,	PUNCT
ejpam-6919	322	15	6919	6919	NUM
ejpam-6919	322	16	12	12	NUM
ejpam-6919	322	17	of	of	ADP
ejpam-6919	322	18	16	16	NUM
ejpam-6919	322	19	it	it	PRON
ejpam-6919	322	20	is	be	AUX
ejpam-6919	322	21	evident	evident	ADJ
ejpam-6919	322	22	that	that	SCONJ
ejpam-6919	322	23	solving	solve	VERB
ejpam-6919	322	24	problem	problem	NOUN
ejpam-6919	322	25	(	(	PUNCT
ejpam-6919	322	26	i	i	NOUN
ejpam-6919	322	27	)	)	PUNCT
ejpam-6919	322	28	is	be	AUX
ejpam-6919	322	29	equivalent	equivalent	ADJ
ejpam-6919	322	30	to	to	ADP
ejpam-6919	322	31	finding	find	VERB
ejpam-6919	322	32	a	a	DET
ejpam-6919	322	33	fixed	fix	VERB
ejpam-6919	322	34	point	point	NOUN
ejpam-6919	322	35	of	of	ADP
ejpam-6919	322	36	h.	h.	PROPN
ejpam-6919	322	37	now	now	ADV
ejpam-6919	322	38	for	for	ADP
ejpam-6919	322	39	any	any	DET
ejpam-6919	322	40	$	$	SYM
ejpam-6919	322	41	,	,	PUNCT
ejpam-6919	322	42	v	v	NOUN
ejpam-6919	322	43	∈	∈	NOUN
ejpam-6919	322	44	ξ	ξ	PROPN
ejpam-6919	322	45	and	and	CCONJ
ejpam-6919	322	46	τ	τ	PROPN
ejpam-6919	322	47	∈	∈	PROPN
ejpam-6919	323	1	[	[	X
ejpam-6919	323	2	0	0	NUM
ejpam-6919	323	3	,	,	PUNCT
ejpam-6919	323	4	a	a	PRON
ejpam-6919	323	5	]	]	X
ejpam-6919	323	6	,	,	PUNCT
ejpam-6919	323	7	|h$(τ)−	|h$(τ)−	ADJ
ejpam-6919	323	8	hv(τ)|2	hv(τ)|2	NOUN
ejpam-6919	323	9	=	=	SYM
ejpam-6919	323	10	µ2	µ2	PROPN
ejpam-6919	323	11	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6919	323	12	a	a	DET
ejpam-6919	323	13	0	0	NUM
ejpam-6919	324	1	(	(	PUNCT
ejpam-6919	324	2	$	$	SYM
ejpam-6919	324	3	4(ζ)−	4(ζ)−	NUM
ejpam-6919	324	4	v4(ζ	v4(ζ	NUM
ejpam-6919	324	5	)	)	PUNCT
ejpam-6919	324	6	)	)	PUNCT
ejpam-6919	325	1	q(τ	q(τ	ADP
ejpam-6919	325	2	,	,	PUNCT
ejpam-6919	325	3	ζ)dζ	ζ)dζ	PROPN
ejpam-6919	325	4	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6919	325	5	=	=	PROPN
ejpam-6919	325	6	µ2	µ2	PROPN
ejpam-6919	325	7	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6919	325	8	a	a	DET
ejpam-6919	325	9	0	0	NUM
ejpam-6919	325	10	{	{	PUNCT
ejpam-6919	325	11	(	(	PUNCT
ejpam-6919	325	12	$	$	SYM
ejpam-6919	325	13	2(ζ	2(ζ	NUM
ejpam-6919	325	14	)	)	PUNCT
ejpam-6919	326	1	+	+	PUNCT
ejpam-6919	327	1	v2(ζ	v2(ζ	X
ejpam-6919	327	2	)	)	PUNCT
ejpam-6919	327	3	)	)	PUNCT
ejpam-6919	327	4	(	(	PUNCT
ejpam-6919	327	5	$	$	SYM
ejpam-6919	327	6	(	(	PUNCT
ejpam-6919	327	7	ζ	ζ	NOUN
ejpam-6919	327	8	)	)	PUNCT
ejpam-6919	327	9	+	+	NUM
ejpam-6919	327	10	v(ζ))($(ζ)−	v(ζ))($(ζ)−	PRON
ejpam-6919	327	11	v(ζ	v(ζ	NUM
ejpam-6919	327	12	)	)	PUNCT
ejpam-6919	327	13	)	)	PUNCT
ejpam-6919	327	14	}	}	PUNCT
ejpam-6919	327	15	q(τ	q(τ	VERB
ejpam-6919	327	16	,	,	PUNCT
ejpam-6919	327	17	ζ)dζ	ζ)dζ	PROPN
ejpam-6919	327	18	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6919	327	19	≤	≤	NUM
ejpam-6919	327	20	µ2	µ2	PROPN
ejpam-6919	327	21	sup	sup	NOUN
ejpam-6919	327	22	ζ∈[0,a	ζ∈[0,a	PROPN
ejpam-6919	327	23	]	]	PUNCT
ejpam-6919	327	24	∣∣($2(ζ	∣∣($2(ζ	NOUN
ejpam-6919	327	25	)	)	PUNCT
ejpam-6919	328	1	+	+	PUNCT
ejpam-6919	329	1	v2(ζ	v2(ζ	X
ejpam-6919	329	2	)	)	PUNCT
ejpam-6919	329	3	)	)	PUNCT
ejpam-6919	329	4	(	(	PUNCT
ejpam-6919	329	5	$	$	SYM
ejpam-6919	329	6	(	(	PUNCT
ejpam-6919	329	7	ζ	ζ	NOUN
ejpam-6919	329	8	)	)	PUNCT
ejpam-6919	329	9	+	+	CCONJ
ejpam-6919	329	10	v(ζ	v(ζ	PROPN
ejpam-6919	329	11	)	)	PUNCT
ejpam-6919	329	12	)	)	PUNCT
ejpam-6919	330	1	∣∣2	∣∣2	PROPN
ejpam-6919	330	2	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6919	330	3	a	a	DET
ejpam-6919	330	4	0	0	NUM
ejpam-6919	330	5	(	(	PUNCT
ejpam-6919	330	6	$	$	SYM
ejpam-6919	330	7	(	(	PUNCT
ejpam-6919	330	8	ζ)−	ζ)−	PROPN
ejpam-6919	330	9	v(ζ))q(τ	v(ζ))q(τ	VERB
ejpam-6919	330	10	,	,	PUNCT
ejpam-6919	330	11	ζ)dζ	ζ)dζ	PROPN
ejpam-6919	330	12	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6919	330	13	≤	≤	NUM
ejpam-6919	330	14	µ2	µ2	PROPN
ejpam-6919	330	15	k2	k2	PROPN
ejpam-6919	330	16	µ2	µ2	PROPN
ejpam-6919	330	17	sup	sup	NOUN
ejpam-6919	330	18	ζ∈[0,a	ζ∈[0,a	PROPN
ejpam-6919	330	19	]	]	PUNCT
ejpam-6919	330	20	|$(ζ)−	|$(ζ)−	PROPN
ejpam-6919	330	21	v(ζ)|2	v(ζ)|2	PROPN
ejpam-6919	330	22	∣∣∣∣∫	∣∣∣∣∫	PRON
ejpam-6919	330	23	a	a	DET
ejpam-6919	330	24	0	0	NUM
ejpam-6919	330	25	q(τ	q(τ	ADJ
ejpam-6919	330	26	,	,	PUNCT
ejpam-6919	330	27	ζ)dζ	ζ)dζ	PROPN
ejpam-6919	330	28	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6919	330	29	≤	≤	NOUN
ejpam-6919	330	30	k2	k2	ADJ
ejpam-6919	330	31	sup	sup	NOUN
ejpam-6919	330	32	ζ∈[0,a	ζ∈[0,a	PROPN
ejpam-6919	330	33	]	]	PUNCT
ejpam-6919	330	34	|$(ζ)−	|$(ζ)−	NOUN
ejpam-6919	330	35	v(ζ)|2	v(ζ)|2	PROPN
ejpam-6919	330	36	sup	sup	VERB
ejpam-6919	330	37	τ∈[0,a	τ∈[0,a	PROPN
ejpam-6919	330	38	]	]	X
ejpam-6919	330	39	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6919	330	40	a	a	DET
ejpam-6919	330	41	0	0	NUM
ejpam-6919	330	42	q(τ	q(τ	ADJ
ejpam-6919	330	43	,	,	PUNCT
ejpam-6919	330	44	ζ)dζ	ζ)dζ	PROPN
ejpam-6919	330	45	∣∣∣∣2	∣∣∣∣2	NOUN
ejpam-6919	330	46	=	=	SYM
ejpam-6919	330	47	k2	k2	ADJ
ejpam-6919	330	48	16	16	NUM
ejpam-6919	330	49	·	·	PUNCT
ejpam-6919	330	50	sup	sup	NOUN
ejpam-6919	330	51	ζ∈[0,a	ζ∈[0,a	NOUN
ejpam-6919	330	52	]	]	PUNCT
ejpam-6919	330	53	|$(ζ)−	|$(ζ)−	NOUN
ejpam-6919	330	54	v(ζ)|2	v(ζ)|2	NOUN
ejpam-6919	330	55	=	=	SYM
ejpam-6919	330	56	1	1	NUM
ejpam-6919	330	57	β	β	X
ejpam-6919	330	58	·	·	PUNCT
ejpam-6919	330	59	sup	sup	NOUN
ejpam-6919	330	60	ζ∈[0,a	ζ∈[0,a	NOUN
ejpam-6919	330	61	]	]	PUNCT
ejpam-6919	330	62	|$(ζ)−	|$(ζ)−	NOUN
ejpam-6919	330	63	v(ζ)|2	v(ζ)|2	PROPN
ejpam-6919	330	64	where	where	SCONJ
ejpam-6919	330	65	1	1	NUM
ejpam-6919	330	66	β	β	X
ejpam-6919	330	67	=	=	SYM
ejpam-6919	330	68	k2	k2	PROPN
ejpam-6919	330	69	16	16	NUM
ejpam-6919	330	70	∈	∈	PROPN
ejpam-6919	330	71	(	(	PUNCT
ejpam-6919	330	72	0	0	NUM
ejpam-6919	330	73	,	,	PUNCT
ejpam-6919	330	74	1	1	NUM
ejpam-6919	330	75	)	)	PUNCT
ejpam-6919	330	76	,	,	PUNCT
ejpam-6919	330	77	β	β	X
ejpam-6919	330	78	>	>	X
ejpam-6919	330	79	0	0	NUM
ejpam-6919	331	1	it	it	PRON
ejpam-6919	331	2	follows	follow	VERB
ejpam-6919	331	3	that	that	SCONJ
ejpam-6919	331	4	,	,	PUNCT
ejpam-6919	331	5	supτ∈[0,a	supτ∈[0,a	NOUN
ejpam-6919	331	6	]	]	PUNCT
ejpam-6919	331	7	|h$(τ)−	|h$(τ)−	NUM
ejpam-6919	331	8	hv(τ)|2	hv(τ)|2	NOUN
ejpam-6919	331	9	≤	≤	NUM
ejpam-6919	331	10	1	1	NUM
ejpam-6919	331	11	β	β	X
ejpam-6919	331	12	·	·	PUNCT
ejpam-6919	331	13	supζ∈[0,a	supζ∈[0,a	NOUN
ejpam-6919	331	14	]	]	PUNCT
ejpam-6919	331	15	|$(ζ)−	|$(ζ)−	PROPN
ejpam-6919	331	16	v(ζ)|2	v(ζ)|2	NOUN
ejpam-6919	331	17	therefore	therefore	ADV
ejpam-6919	331	18	e−{supτ∈[0,a	e−{supτ∈[0,a	NOUN
ejpam-6919	331	19	]	]	PUNCT
ejpam-6919	331	20	|h$(τ)−hv(τ)|2	|h$(τ)−hv(τ)|2	NUM
ejpam-6919	331	21	}	}	PUNCT
ejpam-6919	331	22	≥	≥	NUM
ejpam-6919	331	23	e	e	NOUN
ejpam-6919	331	24	−	−	PROPN
ejpam-6919	331	25	1	1	NUM
ejpam-6919	331	26	β	β	X
ejpam-6919	331	27	·	·	SYM
ejpam-6919	331	28	supζ∈[0,a	supζ∈[0,a	NOUN
ejpam-6919	331	29	]	]	PUNCT
ejpam-6919	331	30	|$(ζ)−v(ζ)|2	|$(ζ)−v(ζ)|2	X
ejpam-6919	331	31	.	.	PUNCT
ejpam-6919	332	1	let	let	VERB
ejpam-6919	332	2	ϕ(τ	ϕ(τ	X
ejpam-6919	332	3	)	)	PUNCT
ejpam-6919	333	1	=	=	PUNCT
ejpam-6919	333	2	τ	τ	PROPN
ejpam-6919	333	3	1	1	NUM
ejpam-6919	333	4	β	β	X
ejpam-6919	333	5	∀	∀	X
ejpam-6919	333	6	τ	τ	X
ejpam-6919	333	7	∈	∈	PROPN
ejpam-6919	334	1	[	[	X
ejpam-6919	334	2	0	0	NUM
ejpam-6919	334	3	,	,	PUNCT
ejpam-6919	334	4	a	a	PRON
ejpam-6919	334	5	]	]	X
ejpam-6919	334	6	where	where	SCONJ
ejpam-6919	334	7	1	1	NUM
ejpam-6919	334	8	β	β	X
ejpam-6919	334	9	=	=	SYM
ejpam-6919	334	10	k2	k2	PROPN
ejpam-6919	334	11	16	16	NUM
ejpam-6919	334	12	∈	∈	PROPN
ejpam-6919	334	13	(	(	PUNCT
ejpam-6919	334	14	0	0	NUM
ejpam-6919	334	15	,	,	PUNCT
ejpam-6919	334	16	1	1	NUM
ejpam-6919	334	17	)	)	PUNCT
ejpam-6919	334	18	.	.	PUNCT
ejpam-6919	335	1	under	under	ADP
ejpam-6919	335	2	this	this	DET
ejpam-6919	335	3	definition	definition	NOUN
ejpam-6919	335	4	,	,	PUNCT
ejpam-6919	335	5	the	the	DET
ejpam-6919	335	6	preceding	precede	VERB
ejpam-6919	335	7	inequality	inequality	NOUN
ejpam-6919	335	8	becomes	become	VERB
ejpam-6919	335	9	a(h$,hv	a(h$,hv	ADV
ejpam-6919	335	10	,	,	PUNCT
ejpam-6919	335	11	τ	τ	PROPN
ejpam-6919	335	12	)	)	PUNCT
ejpam-6919	335	13	≥	≥	X
ejpam-6919	335	14	(	(	PUNCT
ejpam-6919	335	15	a($	a($	X
ejpam-6919	335	16	,	,	PUNCT
ejpam-6919	335	17	v	v	NOUN
ejpam-6919	335	18	,	,	PUNCT
ejpam-6919	335	19	τ	τ	PROPN
ejpam-6919	335	20	)	)	PUNCT
ejpam-6919	335	21	)	)	PUNCT
ejpam-6919	335	22	1	1	NUM
ejpam-6919	335	23	β	β	X
ejpam-6919	335	24	,	,	PUNCT
ejpam-6919	335	25	1−	1−	NUM
ejpam-6919	335	26	b(h$,hv	b(h$,hv	ADV
ejpam-6919	335	27	,	,	PUNCT
ejpam-6919	335	28	τ	τ	PROPN
ejpam-6919	335	29	)	)	PUNCT
ejpam-6919	335	30	≥	≥	NOUN
ejpam-6919	335	31	(	(	PUNCT
ejpam-6919	335	32	1−	1−	NUM
ejpam-6919	335	33	b($	b($	NOUN
ejpam-6919	335	34	,	,	PUNCT
ejpam-6919	335	35	v	v	PROPN
ejpam-6919	335	36	,	,	PUNCT
ejpam-6919	335	37	τ	τ	PROPN
ejpam-6919	335	38	)	)	PUNCT
ejpam-6919	335	39	)	)	PUNCT
ejpam-6919	335	40	1	1	NUM
ejpam-6919	335	41	β	β	X
ejpam-6919	335	42	1−	1−	NUM
ejpam-6919	335	43	c(h$,hv	c(h$,hv	PROPN
ejpam-6919	335	44	,	,	PUNCT
ejpam-6919	335	45	τ	τ	PROPN
ejpam-6919	335	46	)	)	PUNCT
ejpam-6919	335	47	≥	≥	NOUN
ejpam-6919	335	48	(	(	PUNCT
ejpam-6919	335	49	1−	1−	NUM
ejpam-6919	335	50	c($	c($	NOUN
ejpam-6919	335	51	,	,	PUNCT
ejpam-6919	335	52	v	v	NOUN
ejpam-6919	335	53	,	,	PUNCT
ejpam-6919	335	54	τ	τ	PROPN
ejpam-6919	335	55	)	)	PUNCT
ejpam-6919	335	56	)	)	PUNCT
ejpam-6919	335	57	1	1	NUM
ejpam-6919	335	58	β	β	X
ejpam-6919	335	59	∀	∀	X
ejpam-6919	335	60	τ	τ	X
ejpam-6919	335	61	>	>	SYM
ejpam-6919	335	62	0	0	PUNCT
ejpam-6919	335	63	⇒	⇒	PROPN
ejpam-6919	335	64	a(h$,hv	a(h$,hv	PROPN
ejpam-6919	335	65	,	,	PUNCT
ejpam-6919	335	66	τ	τ	PROPN
ejpam-6919	335	67	)	)	PUNCT
ejpam-6919	335	68	≥	≥	NOUN
ejpam-6919	335	69	ϕ(a($	ϕ(a($	ADV
ejpam-6919	335	70	,	,	PUNCT
ejpam-6919	335	71	v	v	PROPN
ejpam-6919	335	72	,	,	PUNCT
ejpam-6919	335	73	τ	τ	PROPN
ejpam-6919	335	74	)	)	PUNCT
ejpam-6919	335	75	)	)	PUNCT
ejpam-6919	335	76	,	,	PUNCT
ejpam-6919	336	1	1−	1−	NUM
ejpam-6919	336	2	b(h$,hv	b(h$,hv	ADV
ejpam-6919	336	3	,	,	PUNCT
ejpam-6919	336	4	τ	τ	PROPN
ejpam-6919	336	5	)	)	PUNCT
ejpam-6919	336	6	≥	≥	NOUN
ejpam-6919	336	7	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	336	8	b($	b($	PROPN
ejpam-6919	336	9	,	,	PUNCT
ejpam-6919	336	10	v	v	PROPN
ejpam-6919	336	11	,	,	PUNCT
ejpam-6919	336	12	τ	τ	PROPN
ejpam-6919	336	13	)	)	PUNCT
ejpam-6919	336	14	)	)	PUNCT
ejpam-6919	336	15	,	,	PUNCT
ejpam-6919	336	16	1−	1−	NUM
ejpam-6919	336	17	c(h$,hv	c(h$,hv	PROPN
ejpam-6919	336	18	,	,	PUNCT
ejpam-6919	336	19	τ	τ	PROPN
ejpam-6919	336	20	)	)	PUNCT
ejpam-6919	336	21	≥	≥	NOUN
ejpam-6919	336	22	ϕ(1−	ϕ(1−	PROPN
ejpam-6919	336	23	c($	c($	PROPN
ejpam-6919	336	24	,	,	PUNCT
ejpam-6919	336	25	v	v	NOUN
ejpam-6919	336	26	,	,	PUNCT
ejpam-6919	336	27	τ))∀	τ))∀	VERB
ejpam-6919	336	28	τ	τ	X
ejpam-6919	336	29	>	>	X
ejpam-6919	336	30	0	0	NUM
ejpam-6919	336	31	.	.	PUNCT
ejpam-6919	337	1	hence	hence	ADV
ejpam-6919	337	2	,	,	PUNCT
ejpam-6919	337	3	the	the	DET
ejpam-6919	337	4	mapping	mapping	NOUN
ejpam-6919	337	5	h	h	NOUN
ejpam-6919	337	6	satisfies	satisfy	VERB
ejpam-6919	337	7	the	the	DET
ejpam-6919	337	8	hypotheses	hypothesis	NOUN
ejpam-6919	337	9	of	of	ADP
ejpam-6919	337	10	theorem	theorem	NOUN
ejpam-6919	337	11	(	(	PUNCT
ejpam-6919	337	12	1	1	NUM
ejpam-6919	337	13	)	)	PUNCT
ejpam-6919	337	14	,	,	PUNCT
ejpam-6919	337	15	implying	imply	VERB
ejpam-6919	337	16	that	that	SCONJ
ejpam-6919	337	17	h	h	PROPN
ejpam-6919	337	18	possesses	possess	VERB
ejpam-6919	337	19	a	a	DET
ejpam-6919	337	20	unique	unique	ADJ
ejpam-6919	337	21	invariant	invariant	ADJ
ejpam-6919	337	22	point	point	NOUN
ejpam-6919	337	23	in	in	ADP
ejpam-6919	337	24	ξ	ξ	PROPN
ejpam-6919	337	25	.	.	PUNCT
ejpam-6919	338	1	therefore	therefore	ADV
ejpam-6919	338	2	,	,	PUNCT
ejpam-6919	338	3	the	the	DET
ejpam-6919	338	4	boundary	boundary	ADJ
ejpam-6919	338	5	value	value	NOUN
ejpam-6919	338	6	problem	problem	NOUN
ejpam-6919	338	7	(	(	PUNCT
ejpam-6919	338	8	i	i	NOUN
ejpam-6919	338	9	)	)	PUNCT
ejpam-6919	338	10	admits	admit	VERB
ejpam-6919	338	11	a	a	DET
ejpam-6919	338	12	solution	solution	NOUN
ejpam-6919	338	13	in	in	ADP
ejpam-6919	338	14	ξ	ξ	PROPN
ejpam-6919	338	15	.	.	PUNCT
ejpam-6919	338	16	example	example	NOUN
ejpam-6919	338	17	8	8	NUM
ejpam-6919	338	18	.	.	PUNCT
ejpam-6919	339	1	consider	consider	VERB
ejpam-6919	339	2	the	the	DET
ejpam-6919	339	3	nonlinear	nonlinear	ADJ
ejpam-6919	339	4	integral	integral	ADJ
ejpam-6919	339	5	equation	equation	NOUN
ejpam-6919	339	6	:	:	PUNCT
ejpam-6919	340	1	%	%	INTJ
ejpam-6919	340	2	(	(	PUNCT
ejpam-6919	340	3	ξ	ξ	NOUN
ejpam-6919	340	4	)	)	PUNCT
ejpam-6919	340	5	=	=	SYM
ejpam-6919	340	6	ξ2	ξ2	NOUN
ejpam-6919	341	1	+	+	CCONJ
ejpam-6919	341	2	∫	∫	PROPN
ejpam-6919	341	3	a	a	DET
ejpam-6919	341	4	0	0	NUM
ejpam-6919	341	5	%	%	NOUN
ejpam-6919	341	6	(	(	PUNCT
ejpam-6919	341	7	υ	υ	NOUN
ejpam-6919	341	8	)	)	PUNCT
ejpam-6919	341	9	1	1	NUM
ejpam-6919	342	1	+	+	CCONJ
ejpam-6919	342	2	ξυ	ξυ	ADP
ejpam-6919	342	3	dυ	dυ	ADP
ejpam-6919	342	4	,	,	PUNCT
ejpam-6919	342	5	ξ	ξ	PROPN
ejpam-6919	342	6	∈	∈	PROPN
ejpam-6919	343	1	[	[	X
ejpam-6919	343	2	0	0	NUM
ejpam-6919	343	3	,	,	PUNCT
ejpam-6919	343	4	a	a	PRON
ejpam-6919	343	5	]	]	X
ejpam-6919	343	6	,	,	PUNCT
ejpam-6919	343	7	a	a	DET
ejpam-6919	343	8	<	<	X
ejpam-6919	343	9	1	1	NUM
ejpam-6919	343	10	(	(	PUNCT
ejpam-6919	343	11	14	14	NUM
ejpam-6919	343	12	)	)	PUNCT
ejpam-6919	343	13	m.	m.	NOUN
ejpam-6919	343	14	pandiselvi	pandiselvi	PROPN
ejpam-6919	343	15	,	,	PUNCT
ejpam-6919	343	16	m.	m.	NOUN
ejpam-6919	343	17	jeyaraman	jeyaraman	PROPN
ejpam-6919	343	18	,	,	PUNCT
ejpam-6919	343	19	m.	m.	NOUN
ejpam-6919	343	20	akram	akram	PROPN
ejpam-6919	343	21	/	/	PUNCT
ejpam-6919	343	22	eur	eur	PROPN
ejpam-6919	343	23	.	.	PUNCT
ejpam-6919	344	1	j.	j.	PROPN
ejpam-6919	344	2	pure	pure	PROPN
ejpam-6919	344	3	appl	appl	PROPN
ejpam-6919	344	4	.	.	PROPN
ejpam-6919	344	5	math	math	PROPN
ejpam-6919	344	6	,	,	PUNCT
ejpam-6919	344	7	18	18	NUM
ejpam-6919	344	8	(	(	PUNCT
ejpam-6919	344	9	4	4	NUM
ejpam-6919	344	10	)	)	PUNCT
ejpam-6919	344	11	(	(	PUNCT
ejpam-6919	344	12	2025	2025	NUM
ejpam-6919	344	13	)	)	PUNCT
ejpam-6919	344	14	,	,	PUNCT
ejpam-6919	344	15	6919	6919	NUM
ejpam-6919	344	16	13	13	NUM
ejpam-6919	344	17	of	of	ADP
ejpam-6919	344	18	16	16	NUM
ejpam-6919	344	19	where	where	SCONJ
ejpam-6919	344	20	the	the	DET
ejpam-6919	344	21	unknown	unknown	ADJ
ejpam-6919	344	22	function	function	NOUN
ejpam-6919	344	23	%	%	NOUN
ejpam-6919	344	24	:	:	PUNCT
ejpam-6919	345	1	[	[	X
ejpam-6919	345	2	0	0	NUM
ejpam-6919	345	3	,	,	PUNCT
ejpam-6919	345	4	a	a	PRON
ejpam-6919	345	5	]	]	X
ejpam-6919	345	6	→	→	SYM
ejpam-6919	345	7	r	r	NOUN
ejpam-6919	345	8	describes	describe	VERB
ejpam-6919	345	9	the	the	DET
ejpam-6919	345	10	signal	signal	ADJ
ejpam-6919	345	11	coupling	couple	VERB
ejpam-6919	345	12	intensity	intensity	NOUN
ejpam-6919	345	13	between	between	ADP
ejpam-6919	345	14	satellite	satellite	NOUN
ejpam-6919	345	15	nodes	node	NOUN
ejpam-6919	345	16	depending	depend	VERB
ejpam-6919	345	17	on	on	ADP
ejpam-6919	345	18	the	the	DET
ejpam-6919	345	19	normalized	normalize	VERB
ejpam-6919	345	20	distance	distance	NOUN
ejpam-6919	345	21	ξ	ξ	X
ejpam-6919	345	22	.	.	PUNCT
ejpam-6919	345	23	define	define	VERB
ejpam-6919	345	24	the	the	DET
ejpam-6919	345	25	operator	operator	NOUN
ejpam-6919	345	26	(	(	PUNCT
ejpam-6919	345	27	l%)(ξ	l%)(ξ	PROPN
ejpam-6919	345	28	)	)	PUNCT
ejpam-6919	345	29	=	=	SYM
ejpam-6919	345	30	ξ2	ξ2	NOUN
ejpam-6919	346	1	+	+	CCONJ
ejpam-6919	346	2	∫	∫	PROPN
ejpam-6919	346	3	a	a	DET
ejpam-6919	346	4	0	0	NUM
ejpam-6919	346	5	%	%	NOUN
ejpam-6919	346	6	(	(	PUNCT
ejpam-6919	346	7	υ	υ	NOUN
ejpam-6919	346	8	)	)	PUNCT
ejpam-6919	346	9	1	1	NUM
ejpam-6919	347	1	+	+	CCONJ
ejpam-6919	347	2	ξυ	ξυ	ADV
ejpam-6919	347	3	dυ	dυ	NOUN
ejpam-6919	347	4	.	.	PUNCT
ejpam-6919	348	1	we	we	PRON
ejpam-6919	348	2	set	set	VERB
ejpam-6919	348	3	up	up	ADP
ejpam-6919	348	4	the	the	DET
ejpam-6919	348	5	neutrosophic	neutrosophic	ADJ
ejpam-6919	348	6	f	f	X
ejpam-6919	348	7	-	-	PUNCT
ejpam-6919	348	8	metric	metric	ADJ
ejpam-6919	348	9	space	space	NOUN
ejpam-6919	348	10	(	(	PUNCT
ejpam-6919	348	11	ξ	ξ	PROPN
ejpam-6919	348	12	,	,	PUNCT
ejpam-6919	348	13	a	a	DET
ejpam-6919	348	14	,	,	PUNCT
ejpam-6919	348	15	b	b	NOUN
ejpam-6919	348	16	,	,	PUNCT
ejpam-6919	348	17	c	c	X
ejpam-6919	348	18	,	,	PUNCT
ejpam-6919	348	19	f	f	PROPN
ejpam-6919	348	20	,	,	PUNCT
ejpam-6919	348	21	λ	λ	PROPN
ejpam-6919	348	22	,	,	PUNCT
ejpam-6919	348	23	?	?	PUNCT
ejpam-6919	348	24	,	,	PUNCT
ejpam-6919	348	25	�	�	PROPN
ejpam-6919	348	26	)	)	PUNCT
ejpam-6919	348	27	,	,	PUNCT
ejpam-6919	348	28	where	where	SCONJ
ejpam-6919	348	29	for	for	ADP
ejpam-6919	348	30	any	any	DET
ejpam-6919	348	31	%	%	NOUN
ejpam-6919	348	32	,	,	PUNCT
ejpam-6919	348	33	ν	ν	PROPN
ejpam-6919	348	34	∈	∈	PROPN
ejpam-6919	348	35	ξ	ξ	PROPN
ejpam-6919	348	36	and	and	CCONJ
ejpam-6919	348	37	τ	τ	PROPN
ejpam-6919	348	38	>	>	X
ejpam-6919	348	39	0	0	PROPN
ejpam-6919	348	40	,	,	PUNCT
ejpam-6919	348	41	a(%	a(%	NOUN
ejpam-6919	348	42	,	,	PUNCT
ejpam-6919	348	43	ν	ν	NOUN
ejpam-6919	348	44	,	,	PUNCT
ejpam-6919	348	45	τ	τ	X
ejpam-6919	348	46	)	)	PUNCT
ejpam-6919	348	47	=	=	SYM
ejpam-6919	348	48	sup	sup	NUM
ejpam-6919	348	49	ξ∈[0,a	ξ∈[0,a	PROPN
ejpam-6919	348	50	]	]	X
ejpam-6919	348	51	min	min	NOUN
ejpam-6919	348	52	{	{	PUNCT
ejpam-6919	348	53	1	1	NUM
ejpam-6919	348	54	,	,	PUNCT
ejpam-6919	348	55	|%(ξ)−	|%(ξ)−	NUM
ejpam-6919	348	56	ν(ξ)|	ν(ξ)|	NOUN
ejpam-6919	348	57	τ	τ	PROPN
ejpam-6919	348	58	}	}	PUNCT
ejpam-6919	348	59	,	,	PUNCT
ejpam-6919	348	60	b(%	b(%	NOUN
ejpam-6919	348	61	,	,	PUNCT
ejpam-6919	348	62	ν	ν	PROPN
ejpam-6919	348	63	,	,	PUNCT
ejpam-6919	348	64	τ	τ	X
ejpam-6919	348	65	)	)	PUNCT
ejpam-6919	348	66	=	=	SYM
ejpam-6919	348	67	sup	sup	NUM
ejpam-6919	348	68	ξ∈[0,a	ξ∈[0,a	PROPN
ejpam-6919	348	69	]	]	X
ejpam-6919	348	70	max	max	NOUN
ejpam-6919	348	71	{	{	PUNCT
ejpam-6919	348	72	0	0	NUM
ejpam-6919	348	73	,	,	PUNCT
ejpam-6919	348	74	1−	1−	NUM
ejpam-6919	348	75	|%(ξ)−	|%(ξ)−	NUM
ejpam-6919	348	76	ν(ξ)|	ν(ξ)|	VERB
ejpam-6919	348	77	τ	τ	PROPN
ejpam-6919	348	78	}	}	PUNCT
ejpam-6919	348	79	,	,	PUNCT
ejpam-6919	348	80	c(%	c(%	NOUN
ejpam-6919	348	81	,	,	PUNCT
ejpam-6919	348	82	ν	ν	NOUN
ejpam-6919	348	83	,	,	PUNCT
ejpam-6919	348	84	τ	τ	X
ejpam-6919	348	85	)	)	PUNCT
ejpam-6919	348	86	=	=	SYM
ejpam-6919	348	87	sup	sup	NUM
ejpam-6919	348	88	ξ∈[0,a	ξ∈[0,a	PROPN
ejpam-6919	348	89	]	]	X
ejpam-6919	348	90	max	max	NOUN
ejpam-6919	348	91	{	{	PUNCT
ejpam-6919	348	92	0	0	NUM
ejpam-6919	348	93	,	,	PUNCT
ejpam-6919	348	94	1−	1−	NUM
ejpam-6919	348	95	|%(ξ)−	|%(ξ)−	NUM
ejpam-6919	348	96	ν(ξ)|	ν(ξ)|	NOUN
ejpam-6919	348	97	2τ	2τ	NUM
ejpam-6919	348	98	}	}	PUNCT
ejpam-6919	348	99	,	,	PUNCT
ejpam-6919	348	100	and	and	CCONJ
ejpam-6919	348	101	define	define	VERB
ejpam-6919	348	102	the	the	DET
ejpam-6919	348	103	contraction	contraction	NOUN
ejpam-6919	348	104	function	function	NOUN
ejpam-6919	348	105	ϕ	ϕ	NOUN
ejpam-6919	348	106	:	:	PUNCT
ejpam-6919	349	1	[	[	X
ejpam-6919	349	2	0	0	NUM
ejpam-6919	349	3	,	,	PUNCT
ejpam-6919	349	4	1	1	NUM
ejpam-6919	349	5	)	)	PUNCT
ejpam-6919	349	6	→	→	PUNCT
ejpam-6919	350	1	[	[	X
ejpam-6919	350	2	0	0	NUM
ejpam-6919	350	3	,	,	PUNCT
ejpam-6919	350	4	1	1	NUM
ejpam-6919	350	5	)	)	PUNCT
ejpam-6919	350	6	by	by	ADP
ejpam-6919	350	7	ϕ(τ	ϕ(τ	PROPN
ejpam-6919	350	8	)	)	PUNCT
ejpam-6919	350	9	=	=	PUNCT
ejpam-6919	350	10	aτ	aτ	ADV
ejpam-6919	350	11	.	.	PUNCT
ejpam-6919	351	1	contraction	contraction	NOUN
ejpam-6919	351	2	verification	verification	NOUN
ejpam-6919	351	3	:	:	PUNCT
ejpam-6919	351	4	for	for	ADP
ejpam-6919	351	5	any	any	DET
ejpam-6919	351	6	%	%	NOUN
ejpam-6919	351	7	,	,	PUNCT
ejpam-6919	351	8	ν	ν	PROPN
ejpam-6919	351	9	∈	∈	PROPN
ejpam-6919	351	10	ξ	ξ	PROPN
ejpam-6919	351	11	and	and	CCONJ
ejpam-6919	351	12	τ	τ	PROPN
ejpam-6919	351	13	>	>	X
ejpam-6919	351	14	0	0	PROPN
ejpam-6919	351	15	,	,	PUNCT
ejpam-6919	351	16	we	we	PRON
ejpam-6919	351	17	compute	compute	VERB
ejpam-6919	351	18	a(l%,lν	a(l%,lν	NOUN
ejpam-6919	351	19	,	,	PUNCT
ejpam-6919	351	20	τ	τ	X
ejpam-6919	351	21	)	)	PUNCT
ejpam-6919	351	22	=	=	SYM
ejpam-6919	352	1	sup	sup	NOUN
ejpam-6919	352	2	ξ∈[0,1	ξ∈[0,1	NUM
ejpam-6919	352	3	]	]	X
ejpam-6919	352	4	min	min	NOUN
ejpam-6919	352	5	{	{	PUNCT
ejpam-6919	352	6	1	1	NUM
ejpam-6919	352	7	,	,	PUNCT
ejpam-6919	352	8	|(l%)(ξ)−	|(l%)(ξ)−	PROPN
ejpam-6919	352	9	(	(	PUNCT
ejpam-6919	352	10	lν)(ξ)|	lν)(ξ)|	X
ejpam-6919	352	11	τ	τ	X
ejpam-6919	352	12	}	}	PUNCT
ejpam-6919	352	13	.	.	PUNCT
ejpam-6919	353	1	since	since	SCONJ
ejpam-6919	353	2	|(l%)(ξ)−	|(l%)(ξ)−	PROPN
ejpam-6919	353	3	(	(	PUNCT
ejpam-6919	353	4	lν)(ξ)|	lν)(ξ)|	X
ejpam-6919	353	5	=	=	SYM
ejpam-6919	353	6	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-6919	353	7	a	a	DET
ejpam-6919	353	8	0	0	NUM
ejpam-6919	353	9	%	%	NOUN
ejpam-6919	353	10	(	(	PUNCT
ejpam-6919	353	11	υ)−	υ)−	NOUN
ejpam-6919	353	12	ν(υ	ν(υ	NOUN
ejpam-6919	353	13	)	)	PUNCT
ejpam-6919	353	14	1	1	NUM
ejpam-6919	354	1	+	+	CCONJ
ejpam-6919	354	2	ξυ	ξυ	ADV
ejpam-6919	354	3	dλ	dλ	PROPN
ejpam-6919	354	4	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6919	354	5	≤	≤	NUM
ejpam-6919	354	6	∫	∫	PROPN
ejpam-6919	354	7	a	a	DET
ejpam-6919	354	8	0	0	NUM
ejpam-6919	354	9	|%(υ)−	|%(υ)−	NUM
ejpam-6919	354	10	ν(υ)|	ν(υ)|	ADJ
ejpam-6919	354	11	dλ	dλ	NOUN
ejpam-6919	354	12	,	,	PUNCT
ejpam-6919	354	13	we	we	PRON
ejpam-6919	354	14	have	have	VERB
ejpam-6919	354	15	a(l%,lν	a(l%,lν	NOUN
ejpam-6919	354	16	,	,	PUNCT
ejpam-6919	354	17	τ	τ	NOUN
ejpam-6919	354	18	)	)	PUNCT
ejpam-6919	354	19	≤	≤	NOUN
ejpam-6919	354	20	aa(%	aa(%	NOUN
ejpam-6919	354	21	,	,	PUNCT
ejpam-6919	354	22	ν	ν	NOUN
ejpam-6919	354	23	,	,	PUNCT
ejpam-6919	354	24	τ	τ	X
ejpam-6919	354	25	)	)	PUNCT
ejpam-6919	354	26	=	=	SYM
ejpam-6919	354	27	ϕ	ϕ	PROPN
ejpam-6919	354	28	(	(	PUNCT
ejpam-6919	354	29	a(%	a(%	NOUN
ejpam-6919	354	30	,	,	PUNCT
ejpam-6919	354	31	ν	ν	NOUN
ejpam-6919	354	32	,	,	PUNCT
ejpam-6919	354	33	τ	τ	PROPN
ejpam-6919	354	34	)	)	PUNCT
ejpam-6919	354	35	)	)	PUNCT
ejpam-6919	354	36	.	.	PUNCT
ejpam-6919	355	1	similarly	similarly	ADV
ejpam-6919	355	2	,	,	PUNCT
ejpam-6919	355	3	one	one	PRON
ejpam-6919	355	4	can	can	AUX
ejpam-6919	355	5	show	show	VERB
ejpam-6919	355	6	1−	1−	NUM
ejpam-6919	355	7	b(l%,lν	b(l%,lν	NOUN
ejpam-6919	355	8	,	,	PUNCT
ejpam-6919	355	9	τ	τ	PROPN
ejpam-6919	355	10	)	)	PUNCT
ejpam-6919	355	11	≥	≥	NOUN
ejpam-6919	355	12	ϕ	ϕ	PROPN
ejpam-6919	355	13	(	(	PUNCT
ejpam-6919	355	14	1−	1−	NUM
ejpam-6919	355	15	b(%	b(%	NOUN
ejpam-6919	355	16	,	,	PUNCT
ejpam-6919	355	17	ν	ν	PROPN
ejpam-6919	355	18	,	,	PUNCT
ejpam-6919	355	19	τ	τ	PROPN
ejpam-6919	355	20	)	)	PUNCT
ejpam-6919	355	21	)	)	PUNCT
ejpam-6919	355	22	,	,	PUNCT
ejpam-6919	355	23	1−	1−	NUM
ejpam-6919	355	24	c(l%,lν	c(l%,lν	NOUN
ejpam-6919	355	25	,	,	PUNCT
ejpam-6919	355	26	τ	τ	PROPN
ejpam-6919	355	27	)	)	PUNCT
ejpam-6919	355	28	≥	≥	NOUN
ejpam-6919	355	29	ϕ	ϕ	X
ejpam-6919	355	30	(	(	PUNCT
ejpam-6919	355	31	1−	1−	NUM
ejpam-6919	355	32	c(%	c(%	NOUN
ejpam-6919	355	33	,	,	PUNCT
ejpam-6919	355	34	ν	ν	NOUN
ejpam-6919	355	35	,	,	PUNCT
ejpam-6919	355	36	τ	τ	PROPN
ejpam-6919	355	37	)	)	PUNCT
ejpam-6919	355	38	)	)	PUNCT
ejpam-6919	355	39	.	.	PUNCT
ejpam-6919	356	1	i.e.	i.e.	X
ejpam-6919	356	2	,	,	PUNCT
ejpam-6919	356	3	the	the	DET
ejpam-6919	356	4	operator	operator	NOUN
ejpam-6919	356	5	l	l	NOUN
ejpam-6919	356	6	satisfies	satisfie	NOUN
ejpam-6919	356	7	equation	equation	NOUN
ejpam-6919	356	8	(	(	PUNCT
ejpam-6919	356	9	1	1	NUM
ejpam-6919	356	10	)	)	PUNCT
ejpam-6919	356	11	.	.	PUNCT
ejpam-6919	357	1	hence	hence	ADV
ejpam-6919	357	2	,	,	PUNCT
ejpam-6919	357	3	theorem	theorem	ADJ
ejpam-6919	357	4	(	(	PUNCT
ejpam-6919	357	5	1	1	NUM
ejpam-6919	357	6	)	)	PUNCT
ejpam-6919	357	7	guarantees	guarantee	VERB
ejpam-6919	357	8	the	the	DET
ejpam-6919	357	9	existence	existence	NOUN
ejpam-6919	357	10	and	and	CCONJ
ejpam-6919	357	11	uniqueness	uniqueness	NOUN
ejpam-6919	357	12	of	of	ADP
ejpam-6919	357	13	the	the	DET
ejpam-6919	357	14	fixed	fix	VERB
ejpam-6919	357	15	point	point	NOUN
ejpam-6919	357	16	%	%	INTJ
ejpam-6919	357	17	∗(ξ	∗(ξ	PROPN
ejpam-6919	357	18	)	)	PUNCT
ejpam-6919	357	19	of	of	ADP
ejpam-6919	357	20	l	l	PROPN
ejpam-6919	357	21	in	in	ADP
ejpam-6919	357	22	ξ	ξ	PROPN
ejpam-6919	357	23	,	,	PUNCT
ejpam-6919	357	24	which	which	PRON
ejpam-6919	357	25	is	be	AUX
ejpam-6919	357	26	the	the	DET
ejpam-6919	357	27	unique	unique	ADJ
ejpam-6919	357	28	solution	solution	NOUN
ejpam-6919	357	29	of	of	ADP
ejpam-6919	357	30	the	the	DET
ejpam-6919	357	31	integral	integral	ADJ
ejpam-6919	357	32	equation	equation	NOUN
ejpam-6919	357	33	.	.	PUNCT
ejpam-6919	358	1	we	we	PRON
ejpam-6919	358	2	approximate	approximate	VERB
ejpam-6919	358	3	the	the	DET
ejpam-6919	358	4	solution	solution	NOUN
ejpam-6919	358	5	using	use	VERB
ejpam-6919	358	6	successive	successive	ADJ
ejpam-6919	358	7	picard	picard	NOUN
ejpam-6919	358	8	iterations	iteration	NOUN
ejpam-6919	358	9	:	:	PUNCT
ejpam-6919	358	10	%	%	NOUN
ejpam-6919	358	11	0(ξ	0(ξ	NUM
ejpam-6919	358	12	)	)	PUNCT
ejpam-6919	358	13	=	=	SYM
ejpam-6919	358	14	0	0	NUM
ejpam-6919	358	15	,	,	PUNCT
ejpam-6919	358	16	%	%	NOUN
ejpam-6919	358	17	i+1(ξ	i+1(ξ	ADJ
ejpam-6919	358	18	)	)	PUNCT
ejpam-6919	359	1	=	=	SYM
ejpam-6919	359	2	l%n(ξ	l%n(ξ	NOUN
ejpam-6919	359	3	)	)	PUNCT
ejpam-6919	359	4	,	,	PUNCT
ejpam-6919	359	5	and	and	CCONJ
ejpam-6919	359	6	compare	compare	VERB
ejpam-6919	359	7	it	it	PRON
ejpam-6919	359	8	with	with	ADP
ejpam-6919	359	9	the	the	DET
ejpam-6919	359	10	exact	exact	ADJ
ejpam-6919	359	11	solution	solution	NOUN
ejpam-6919	359	12	%	%	NOUN
ejpam-6919	359	13	∗(ξ	∗(ξ	PROPN
ejpam-6919	359	14	)	)	PUNCT
ejpam-6919	360	1	=	=	SYM
ejpam-6919	360	2	ξ2	ξ2	NOUN
ejpam-6919	360	3	1−ξ	1−ξ	NUM
ejpam-6919	360	4	(	(	PUNCT
ejpam-6919	360	5	approximated	approximate	VERB
ejpam-6919	360	6	numerically	numerically	ADV
ejpam-6919	360	7	)	)	PUNCT
ejpam-6919	360	8	.	.	PUNCT
ejpam-6919	361	1	table	table	NOUN
ejpam-6919	361	2	1	1	NUM
ejpam-6919	361	3	:	:	PUNCT
ejpam-6919	361	4	numerical	numerical	ADJ
ejpam-6919	361	5	result	result	NOUN
ejpam-6919	361	6	for	for	ADP
ejpam-6919	361	7	example	example	NOUN
ejpam-6919	361	8	(	(	PUNCT
ejpam-6919	361	9	8)	8)	NUM
ejpam-6919	361	10	ξi	ξi	NOUN
ejpam-6919	361	11	exact	exact	ADJ
ejpam-6919	361	12	%	%	NOUN
ejpam-6919	361	13	∗(ξi	∗(ξi	ADJ
ejpam-6919	361	14	)	)	PUNCT
ejpam-6919	361	15	approx	approx	PROPN
ejpam-6919	361	16	.	.	PUNCT
ejpam-6919	362	1	%	%	INTJ
ejpam-6919	362	2	approx(ξi	approx(ξi	NOUN
ejpam-6919	362	3	)	)	PUNCT
ejpam-6919	362	4	error	error	NOUN
ejpam-6919	362	5	0.00	0.00	NUM
ejpam-6919	362	6	0.00000	0.00000	NUM
ejpam-6919	362	7	0.00000	0.00000	NUM
ejpam-6919	362	8	0.00000	0.00000	NUM
ejpam-6919	362	9	0.20	0.20	NUM
ejpam-6919	362	10	0.0500	0.0500	NUM
ejpam-6919	362	11	0.0498	0.0498	NUM
ejpam-6919	362	12	0.0002	0.0002	NUM
ejpam-6919	362	13	0.40	0.40	NUM
ejpam-6919	362	14	0.2667	0.2667	NUM
ejpam-6919	362	15	0.2659	0.2659	NUM
ejpam-6919	362	16	0.0008	0.0008	NUM
ejpam-6919	362	17	0.60	0.60	NUM
ejpam-6919	362	18	0.9000	0.9000	NUM
ejpam-6919	362	19	0.8971	0.8971	NUM
ejpam-6919	362	20	0.0029	0.0029	NUM
ejpam-6919	362	21	0.80	0.80	NUM
ejpam-6919	362	22	3.2000	3.2000	NUM
ejpam-6919	362	23	3.1905	3.1905	NUM
ejpam-6919	362	24	0.0095	0.0095	NUM
ejpam-6919	362	25	m.	m.	NOUN
ejpam-6919	362	26	pandiselvi	pandiselvi	NOUN
ejpam-6919	362	27	,	,	PUNCT
ejpam-6919	362	28	m.	m.	NOUN
ejpam-6919	362	29	jeyaraman	jeyaraman	PROPN
ejpam-6919	362	30	,	,	PUNCT
ejpam-6919	362	31	m.	m.	NOUN
ejpam-6919	362	32	akram	akram	PROPN
ejpam-6919	362	33	/	/	PUNCT
ejpam-6919	362	34	eur	eur	PROPN
ejpam-6919	362	35	.	.	PUNCT
ejpam-6919	363	1	j.	j.	PROPN
ejpam-6919	363	2	pure	pure	PROPN
ejpam-6919	363	3	appl	appl	PROPN
ejpam-6919	363	4	.	.	PROPN
ejpam-6919	363	5	math	math	PROPN
ejpam-6919	363	6	,	,	PUNCT
ejpam-6919	363	7	18	18	NUM
ejpam-6919	363	8	(	(	PUNCT
ejpam-6919	363	9	4	4	NUM
ejpam-6919	363	10	)	)	PUNCT
ejpam-6919	363	11	(	(	PUNCT
ejpam-6919	363	12	2025	2025	NUM
ejpam-6919	363	13	)	)	PUNCT
ejpam-6919	363	14	,	,	PUNCT
ejpam-6919	363	15	6919	6919	NUM
ejpam-6919	363	16	14	14	NUM
ejpam-6919	363	17	of	of	ADP
ejpam-6919	363	18	16	16	NUM
ejpam-6919	363	19	the	the	DET
ejpam-6919	363	20	following	follow	VERB
ejpam-6919	363	21	figure	figure	NOUN
ejpam-6919	363	22	illustrates	illustrate	VERB
ejpam-6919	363	23	the	the	DET
ejpam-6919	363	24	difference	difference	NOUN
ejpam-6919	363	25	between	between	ADP
ejpam-6919	363	26	the	the	DET
ejpam-6919	363	27	exact	exact	ADJ
ejpam-6919	363	28	and	and	CCONJ
ejpam-6919	363	29	approximate	approximate	ADJ
ejpam-6919	363	30	solution	solution	NOUN
ejpam-6919	363	31	.	.	PUNCT
ejpam-6919	364	1	5	5	X
ejpam-6919	364	2	.	.	X
ejpam-6919	364	3	conclusion	conclusion	NOUN
ejpam-6919	364	4	this	this	DET
ejpam-6919	364	5	work	work	NOUN
ejpam-6919	364	6	has	have	AUX
ejpam-6919	364	7	extended	extend	VERB
ejpam-6919	364	8	fixed	fix	VERB
ejpam-6919	364	9	point	point	NOUN
ejpam-6919	364	10	theory	theory	NOUN
ejpam-6919	364	11	to	to	ADP
ejpam-6919	364	12	neutrosophic	neutrosophic	ADJ
ejpam-6919	364	13	f	f	PROPN
ejpam-6919	364	14	-	-	PUNCT
ejpam-6919	364	15	metric	metric	ADJ
ejpam-6919	364	16	spaces	space	NOUN
ejpam-6919	364	17	,	,	PUNCT
ejpam-6919	364	18	thereby	thereby	ADV
ejpam-6919	364	19	generalizing	generalize	VERB
ejpam-6919	364	20	classical	classical	ADJ
ejpam-6919	364	21	results	result	NOUN
ejpam-6919	364	22	to	to	ADP
ejpam-6919	364	23	a	a	DET
ejpam-6919	364	24	broader	broad	ADJ
ejpam-6919	364	25	analytical	analytical	ADJ
ejpam-6919	364	26	framework	framework	NOUN
ejpam-6919	364	27	.	.	PUNCT
ejpam-6919	365	1	the	the	DET
ejpam-6919	365	2	proposed	propose	VERB
ejpam-6919	365	3	theorem	theorem	PROPN
ejpam-6919	365	4	’s	’s	PART
ejpam-6919	365	5	applicability	applicability	NOUN
ejpam-6919	365	6	has	have	AUX
ejpam-6919	365	7	been	be	AUX
ejpam-6919	365	8	demonstrated	demonstrate	VERB
ejpam-6919	365	9	through	through	ADP
ejpam-6919	365	10	the	the	DET
ejpam-6919	365	11	modeling	modeling	NOUN
ejpam-6919	365	12	of	of	ADP
ejpam-6919	365	13	a	a	DET
ejpam-6919	365	14	satellite	satellite	NOUN
ejpam-6919	365	15	web	web	NOUN
ejpam-6919	365	16	coupling	coupling	NOUN
ejpam-6919	365	17	problem	problem	NOUN
ejpam-6919	365	18	,	,	PUNCT
ejpam-6919	365	19	with	with	ADP
ejpam-6919	365	20	illustrative	illustrative	ADJ
ejpam-6919	365	21	examples	example	NOUN
ejpam-6919	365	22	and	and	CCONJ
ejpam-6919	365	23	graphical	graphical	ADJ
ejpam-6919	365	24	analyses	analysis	NOUN
ejpam-6919	365	25	reinforcing	reinforce	VERB
ejpam-6919	365	26	the	the	DET
ejpam-6919	365	27	theoretical	theoretical	ADJ
ejpam-6919	365	28	findings	finding	NOUN
ejpam-6919	365	29	.	.	PUNCT
ejpam-6919	366	1	these	these	DET
ejpam-6919	366	2	results	result	NOUN
ejpam-6919	366	3	highlight	highlight	VERB
ejpam-6919	366	4	the	the	DET
ejpam-6919	366	5	effectiveness	effectiveness	NOUN
ejpam-6919	366	6	of	of	ADP
ejpam-6919	366	7	neutrosophic	neutrosophic	ADJ
ejpam-6919	366	8	metric	metric	ADJ
ejpam-6919	366	9	structures	structure	NOUN
ejpam-6919	366	10	in	in	ADP
ejpam-6919	366	11	addressing	address	VERB
ejpam-6919	366	12	nonlinear	nonlinear	ADJ
ejpam-6919	366	13	problems	problem	NOUN
ejpam-6919	366	14	under	under	ADP
ejpam-6919	366	15	uncertainty	uncertainty	NOUN
ejpam-6919	366	16	and	and	CCONJ
ejpam-6919	366	17	lay	lie	VERB
ejpam-6919	366	18	the	the	DET
ejpam-6919	366	19	groundwork	groundwork	NOUN
ejpam-6919	366	20	for	for	ADP
ejpam-6919	366	21	further	further	ADJ
ejpam-6919	366	22	research	research	NOUN
ejpam-6919	366	23	in	in	ADP
ejpam-6919	366	24	this	this	DET
ejpam-6919	366	25	direction	direction	NOUN
ejpam-6919	366	26	.	.	PUNCT
ejpam-6919	367	1	acknowledgements	acknowledgement	NOUN
ejpam-6919	367	2	the	the	DET
ejpam-6919	367	3	authors	author	NOUN
ejpam-6919	367	4	extend	extend	VERB
ejpam-6919	367	5	their	their	PRON
ejpam-6919	367	6	sincere	sincere	ADJ
ejpam-6919	367	7	gratitude	gratitude	NOUN
ejpam-6919	367	8	to	to	ADP
ejpam-6919	367	9	the	the	DET
ejpam-6919	367	10	deanship	deanship	NOUN
ejpam-6919	367	11	of	of	ADP
ejpam-6919	367	12	graduate	graduate	NOUN
ejpam-6919	367	13	studies	study	NOUN
ejpam-6919	367	14	and	and	CCONJ
ejpam-6919	367	15	scientific	scientific	ADJ
ejpam-6919	367	16	research	research	NOUN
ejpam-6919	367	17	at	at	ADP
ejpam-6919	367	18	the	the	DET
ejpam-6919	367	19	islamic	islamic	PROPN
ejpam-6919	367	20	university	university	PROPN
ejpam-6919	367	21	of	of	ADP
ejpam-6919	367	22	madinah	madinah	PROPN
ejpam-6919	367	23	for	for	ADP
ejpam-6919	367	24	the	the	DET
ejpam-6919	367	25	support	support	NOUN
ejpam-6919	367	26	provided	provide	VERB
ejpam-6919	367	27	to	to	ADP
ejpam-6919	367	28	this	this	DET
ejpam-6919	367	29	article	article	NOUN
ejpam-6919	367	30	.	.	PUNCT
ejpam-6919	368	1	references	reference	NOUN
ejpam-6919	368	2	[	[	X
ejpam-6919	368	3	1	1	NUM
ejpam-6919	368	4	]	]	PUNCT
ejpam-6919	368	5	l.	l.	PROPN
ejpam-6919	368	6	a.	a.	PROPN
ejpam-6919	368	7	zadeh	zadeh	PROPN
ejpam-6919	368	8	.	.	PUNCT
ejpam-6919	369	1	fuzzy	fuzzy	ADJ
ejpam-6919	369	2	sets	set	NOUN
ejpam-6919	369	3	.	.	PUNCT
ejpam-6919	370	1	information	information	NOUN
ejpam-6919	370	2	and	and	CCONJ
ejpam-6919	370	3	control	control	NOUN
ejpam-6919	370	4	,	,	PUNCT
ejpam-6919	370	5	8:338–353	8:338–353	NUM
ejpam-6919	370	6	,	,	PUNCT
ejpam-6919	370	7	1965	1965	NUM
ejpam-6919	370	8	.	.	PUNCT
ejpam-6919	371	1	[	[	X
ejpam-6919	371	2	2	2	NUM
ejpam-6919	371	3	]	]	X
ejpam-6919	371	4	b.	b.	PROPN
ejpam-6919	371	5	schweizer	schweizer	PROPN
ejpam-6919	371	6	and	and	CCONJ
ejpam-6919	371	7	a.	a.	NOUN
ejpam-6919	371	8	sklar	sklar	PROPN
ejpam-6919	371	9	.	.	PUNCT
ejpam-6919	372	1	statistical	statistical	ADJ
ejpam-6919	372	2	metric	metric	ADJ
ejpam-6919	372	3	spaces	space	NOUN
ejpam-6919	372	4	.	.	PUNCT
ejpam-6919	373	1	pacific	pacific	PROPN
ejpam-6919	373	2	journal	journal	PROPN
ejpam-6919	373	3	of	of	ADP
ejpam-6919	373	4	mathematics	mathematic	NOUN
ejpam-6919	373	5	,	,	PUNCT
ejpam-6919	373	6	10:313–334	10:313–334	NUM
ejpam-6919	373	7	,	,	PUNCT
ejpam-6919	373	8	1960	1960	NUM
ejpam-6919	373	9	.	.	PUNCT
ejpam-6919	374	1	[	[	X
ejpam-6919	374	2	3	3	NUM
ejpam-6919	374	3	]	]	X
ejpam-6919	374	4	i.	i.	NOUN
ejpam-6919	374	5	kramosil	kramosil	PROPN
ejpam-6919	374	6	and	and	CCONJ
ejpam-6919	374	7	j.	j.	PROPN
ejpam-6919	374	8	michalek	michalek	PROPN
ejpam-6919	374	9	.	.	PUNCT
ejpam-6919	375	1	fuzzy	fuzzy	ADJ
ejpam-6919	375	2	metric	metric	ADJ
ejpam-6919	375	3	and	and	CCONJ
ejpam-6919	375	4	statistical	statistical	ADJ
ejpam-6919	375	5	metric	metric	ADJ
ejpam-6919	375	6	spaces	space	NOUN
ejpam-6919	375	7	.	.	PUNCT
ejpam-6919	376	1	kybernetika	kybernetika	PROPN
ejpam-6919	376	2	,	,	PUNCT
ejpam-6919	376	3	11:326–334	11:326–334	PROPN
ejpam-6919	376	4	,	,	PUNCT
ejpam-6919	376	5	1975	1975	NUM
ejpam-6919	376	6	.	.	PUNCT
ejpam-6919	377	1	[	[	X
ejpam-6919	377	2	4	4	NUM
ejpam-6919	377	3	]	]	PUNCT
ejpam-6919	377	4	a.	a.	NOUN
ejpam-6919	377	5	george	george	PROPN
ejpam-6919	377	6	and	and	CCONJ
ejpam-6919	377	7	p.	p.	PROPN
ejpam-6919	377	8	veeramani	veeramani	PROPN
ejpam-6919	377	9	.	.	PUNCT
ejpam-6919	378	1	on	on	ADP
ejpam-6919	378	2	some	some	DET
ejpam-6919	378	3	results	result	NOUN
ejpam-6919	378	4	in	in	ADP
ejpam-6919	378	5	fuzzy	fuzzy	ADJ
ejpam-6919	378	6	metric	metric	ADJ
ejpam-6919	378	7	spaces	space	NOUN
ejpam-6919	378	8	.	.	PUNCT
ejpam-6919	379	1	fuzzy	fuzzy	ADJ
ejpam-6919	379	2	sets	set	NOUN
ejpam-6919	379	3	and	and	CCONJ
ejpam-6919	379	4	systems	system	NOUN
ejpam-6919	379	5	,	,	PUNCT
ejpam-6919	379	6	64:395–399	64:395–399	PROPN
ejpam-6919	379	7	,	,	PUNCT
ejpam-6919	379	8	1994	1994	NUM
ejpam-6919	379	9	.	.	PUNCT
ejpam-6919	380	1	[	[	X
ejpam-6919	380	2	5	5	NUM
ejpam-6919	380	3	]	]	PUNCT
ejpam-6919	380	4	m.	m.	NOUN
ejpam-6919	380	5	grabiec	grabiec	PROPN
ejpam-6919	380	6	.	.	PUNCT
ejpam-6919	381	1	fixed	fix	VERB
ejpam-6919	381	2	points	point	NOUN
ejpam-6919	381	3	in	in	ADP
ejpam-6919	381	4	fuzzy	fuzzy	ADJ
ejpam-6919	381	5	metric	metric	ADJ
ejpam-6919	381	6	spaces	space	NOUN
ejpam-6919	381	7	.	.	PUNCT
ejpam-6919	382	1	fuzzy	fuzzy	ADJ
ejpam-6919	382	2	sets	set	NOUN
ejpam-6919	382	3	and	and	CCONJ
ejpam-6919	382	4	systems	system	NOUN
ejpam-6919	382	5	,	,	PUNCT
ejpam-6919	382	6	27:385–389	27:385–389	NUM
ejpam-6919	382	7	,	,	PUNCT
ejpam-6919	382	8	1988	1988	NUM
ejpam-6919	382	9	.	.	PUNCT
ejpam-6919	383	1	[	[	X
ejpam-6919	383	2	6	6	NUM
ejpam-6919	383	3	]	]	PUNCT
ejpam-6919	383	4	v.	v.	CCONJ
ejpam-6919	383	5	gregori	gregori	PROPN
ejpam-6919	383	6	and	and	CCONJ
ejpam-6919	383	7	a.	a.	NOUN
ejpam-6919	383	8	sapena	sapena	NOUN
ejpam-6919	383	9	.	.	PUNCT
ejpam-6919	384	1	on	on	ADP
ejpam-6919	384	2	fixed	fix	VERB
ejpam-6919	384	3	point	point	NOUN
ejpam-6919	384	4	theorems	theorem	NOUN
ejpam-6919	384	5	in	in	ADP
ejpam-6919	384	6	fuzzy	fuzzy	ADJ
ejpam-6919	384	7	metric	metric	ADJ
ejpam-6919	384	8	spaces	space	NOUN
ejpam-6919	384	9	.	.	PUNCT
ejpam-6919	385	1	fuzzy	fuzzy	ADJ
ejpam-6919	385	2	sets	set	NOUN
ejpam-6919	385	3	and	and	CCONJ
ejpam-6919	385	4	systems	system	NOUN
ejpam-6919	385	5	,	,	PUNCT
ejpam-6919	385	6	125:245–252	125:245–252	NUM
ejpam-6919	385	7	,	,	PUNCT
ejpam-6919	385	8	2002	2002	NUM
ejpam-6919	385	9	.	.	PUNCT
ejpam-6919	386	1	m.	m.	NOUN
ejpam-6919	386	2	pandiselvi	pandiselvi	PROPN
ejpam-6919	386	3	,	,	PUNCT
ejpam-6919	386	4	m.	m.	NOUN
ejpam-6919	386	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	386	6	,	,	PUNCT
ejpam-6919	386	7	m.	m.	NOUN
ejpam-6919	386	8	akram	akram	PROPN
ejpam-6919	386	9	/	/	PUNCT
ejpam-6919	386	10	eur	eur	PROPN
ejpam-6919	386	11	.	.	PUNCT
ejpam-6919	387	1	j.	j.	PROPN
ejpam-6919	387	2	pure	pure	PROPN
ejpam-6919	387	3	appl	appl	PROPN
ejpam-6919	387	4	.	.	PROPN
ejpam-6919	387	5	math	math	PROPN
ejpam-6919	387	6	,	,	PUNCT
ejpam-6919	387	7	18	18	NUM
ejpam-6919	387	8	(	(	PUNCT
ejpam-6919	387	9	4	4	NUM
ejpam-6919	387	10	)	)	PUNCT
ejpam-6919	387	11	(	(	PUNCT
ejpam-6919	387	12	2025	2025	NUM
ejpam-6919	387	13	)	)	PUNCT
ejpam-6919	387	14	,	,	PUNCT
ejpam-6919	387	15	6919	6919	NUM
ejpam-6919	387	16	15	15	NUM
ejpam-6919	387	17	of	of	ADP
ejpam-6919	387	18	16	16	NUM
ejpam-6919	387	19	[	[	X
ejpam-6919	387	20	7	7	NUM
ejpam-6919	387	21	]	]	X
ejpam-6919	387	22	d.	d.	PROPN
ejpam-6919	387	23	turkoglu	turkoglu	PROPN
ejpam-6919	387	24	and	and	CCONJ
ejpam-6919	387	25	m.	m.	NOUN
ejpam-6919	387	26	sangurlu	sangurlu	PROPN
ejpam-6919	387	27	.	.	PUNCT
ejpam-6919	388	1	fixed	fix	VERB
ejpam-6919	388	2	point	point	NOUN
ejpam-6919	388	3	theorems	theorem	NOUN
ejpam-6919	388	4	for	for	ADP
ejpam-6919	388	5	fuzzy	fuzzy	ADJ
ejpam-6919	388	6	ψ	ψ	NOUN
ejpam-6919	388	7	-	-	ADJ
ejpam-6919	388	8	contractive	contractive	ADJ
ejpam-6919	388	9	mappings	mapping	NOUN
ejpam-6919	388	10	in	in	ADP
ejpam-6919	388	11	fuzzy	fuzzy	ADJ
ejpam-6919	388	12	metric	metric	ADJ
ejpam-6919	388	13	space	space	NOUN
ejpam-6919	388	14	.	.	PUNCT
ejpam-6919	389	1	journal	journal	NOUN
ejpam-6919	389	2	of	of	ADP
ejpam-6919	389	3	intelligent	intelligent	ADJ
ejpam-6919	389	4	&	&	CCONJ
ejpam-6919	389	5	fuzzy	fuzzy	ADJ
ejpam-6919	389	6	systems	system	NOUN
ejpam-6919	389	7	,	,	PUNCT
ejpam-6919	389	8	26(1):137–142	26(1):137–142	PROPN
ejpam-6919	389	9	,	,	PUNCT
ejpam-6919	389	10	2014	2014	NUM
ejpam-6919	389	11	.	.	PUNCT
ejpam-6919	390	1	[	[	X
ejpam-6919	390	2	8	8	X
ejpam-6919	390	3	]	]	X
ejpam-6919	390	4	s.	s.	PROPN
ejpam-6919	390	5	sedghi	sedghi	PROPN
ejpam-6919	390	6	and	and	CCONJ
ejpam-6919	390	7	n.	n.	PROPN
ejpam-6919	390	8	shobe	shobe	PROPN
ejpam-6919	390	9	.	.	PUNCT
ejpam-6919	391	1	common	common	ADJ
ejpam-6919	391	2	fixed	fix	VERB
ejpam-6919	391	3	point	point	NOUN
ejpam-6919	391	4	theorem	theorem	VERB
ejpam-6919	391	5	in	in	ADP
ejpam-6919	391	6	b	b	NOUN
ejpam-6919	391	7	-	-	PUNCT
ejpam-6919	391	8	fuzzy	fuzzy	ADJ
ejpam-6919	391	9	metric	metric	ADJ
ejpam-6919	391	10	space	space	NOUN
ejpam-6919	391	11	.	.	PUNCT
ejpam-6919	392	1	nonlinear	nonlinear	ADJ
ejpam-6919	392	2	functional	functional	ADJ
ejpam-6919	392	3	analysis	analysis	NOUN
ejpam-6919	392	4	and	and	CCONJ
ejpam-6919	392	5	applications	application	NOUN
ejpam-6919	392	6	,	,	PUNCT
ejpam-6919	392	7	17:349–359	17:349–359	NUM
ejpam-6919	392	8	,	,	PUNCT
ejpam-6919	392	9	2012	2012	NUM
ejpam-6919	392	10	.	.	PUNCT
ejpam-6919	393	1	[	[	X
ejpam-6919	393	2	9	9	NUM
ejpam-6919	393	3	]	]	X
ejpam-6919	393	4	d.	d.	PROPN
ejpam-6919	393	5	wardowski	wardowski	PROPN
ejpam-6919	393	6	.	.	PUNCT
ejpam-6919	394	1	fixed	fix	VERB
ejpam-6919	394	2	points	point	NOUN
ejpam-6919	394	3	of	of	ADP
ejpam-6919	394	4	a	a	DET
ejpam-6919	394	5	new	new	ADJ
ejpam-6919	394	6	type	type	NOUN
ejpam-6919	394	7	of	of	ADP
ejpam-6919	394	8	contractive	contractive	ADJ
ejpam-6919	394	9	mappings	mapping	NOUN
ejpam-6919	394	10	in	in	ADP
ejpam-6919	394	11	complete	complete	ADJ
ejpam-6919	394	12	metric	metric	ADJ
ejpam-6919	394	13	spaces	space	NOUN
ejpam-6919	394	14	.	.	PUNCT
ejpam-6919	395	1	fixed	fix	VERB
ejpam-6919	395	2	point	point	NOUN
ejpam-6919	395	3	theory	theory	NOUN
ejpam-6919	395	4	and	and	CCONJ
ejpam-6919	395	5	applications	application	NOUN
ejpam-6919	395	6	,	,	PUNCT
ejpam-6919	395	7	2012:94	2012:94	NUM
ejpam-6919	395	8	,	,	PUNCT
ejpam-6919	395	9	2012	2012	NUM
ejpam-6919	395	10	.	.	PUNCT
ejpam-6919	396	1	[	[	X
ejpam-6919	396	2	10	10	NUM
ejpam-6919	396	3	]	]	PUNCT
ejpam-6919	396	4	m.	m.	NOUN
ejpam-6919	396	5	s.	s.	PROPN
ejpam-6919	396	6	sezen	sezen	PROPN
ejpam-6919	396	7	and	and	CCONJ
ejpam-6919	396	8	d.	d.	PROPN
ejpam-6919	396	9	turkoglu	turkoglu	PROPN
ejpam-6919	396	10	.	.	PUNCT
ejpam-6919	397	1	some	some	DET
ejpam-6919	397	2	fixed	fix	VERB
ejpam-6919	397	3	point	point	NOUN
ejpam-6919	397	4	theorems	theorem	NOUN
ejpam-6919	397	5	of	of	ADP
ejpam-6919	397	6	(	(	PUNCT
ejpam-6919	397	7	f	f	X
ejpam-6919	397	8	,	,	PUNCT
ejpam-6919	397	9	ϕ)-fuzzy	ϕ)-fuzzy	PROPN
ejpam-6919	397	10	contractions	contraction	NOUN
ejpam-6919	397	11	in	in	ADP
ejpam-6919	397	12	fuzzy	fuzzy	ADJ
ejpam-6919	397	13	metric	metric	ADJ
ejpam-6919	397	14	spaces	space	NOUN
ejpam-6919	397	15	.	.	PUNCT
ejpam-6919	398	1	journal	journal	PROPN
ejpam-6919	398	2	of	of	ADP
ejpam-6919	398	3	inequalities	inequality	NOUN
ejpam-6919	398	4	and	and	CCONJ
ejpam-6919	398	5	special	special	ADJ
ejpam-6919	398	6	functions	function	NOUN
ejpam-6919	398	7	,	,	PUNCT
ejpam-6919	398	8	8(4):10–20	8(4):10–20	NUM
ejpam-6919	398	9	,	,	PUNCT
ejpam-6919	398	10	2017	2017	NUM
ejpam-6919	398	11	.	.	PUNCT
ejpam-6919	399	1	[	[	X
ejpam-6919	399	2	11	11	NUM
ejpam-6919	399	3	]	]	PUNCT
ejpam-6919	399	4	s.	s.	PROPN
ejpam-6919	399	5	nadaban	nadaban	PROPN
ejpam-6919	399	6	,	,	PUNCT
ejpam-6919	399	7	t.	t.	PROPN
ejpam-6919	399	8	binzar	binzar	PROPN
ejpam-6919	399	9	,	,	PUNCT
ejpam-6919	399	10	and	and	CCONJ
ejpam-6919	399	11	f.	f.	PROPN
ejpam-6919	399	12	pater	pater	PROPN
ejpam-6919	399	13	.	.	PUNCT
ejpam-6919	400	1	some	some	DET
ejpam-6919	400	2	fixed	fix	VERB
ejpam-6919	400	3	point	point	NOUN
ejpam-6919	400	4	theorems	theorem	NOUN
ejpam-6919	400	5	for	for	ADP
ejpam-6919	400	6	ϕ-contractive	ϕ-contractive	NOUN
ejpam-6919	400	7	mappings	mapping	NOUN
ejpam-6919	400	8	in	in	ADP
ejpam-6919	400	9	fuzzy	fuzzy	ADJ
ejpam-6919	400	10	normed	norme	VERB
ejpam-6919	400	11	linear	linear	PROPN
ejpam-6919	400	12	spaces	space	NOUN
ejpam-6919	400	13	.	.	PUNCT
ejpam-6919	401	1	journal	journal	PROPN
ejpam-6919	401	2	of	of	ADP
ejpam-6919	401	3	nonlinear	nonlinear	ADJ
ejpam-6919	401	4	science	science	NOUN
ejpam-6919	401	5	and	and	CCONJ
ejpam-6919	401	6	applications	application	NOUN
ejpam-6919	401	7	,	,	PUNCT
ejpam-6919	401	8	10(11):5668–5676	10(11):5668–5676	NUM
ejpam-6919	401	9	,	,	PUNCT
ejpam-6919	401	10	2017	2017	NUM
ejpam-6919	401	11	.	.	PUNCT
ejpam-6919	402	1	[	[	X
ejpam-6919	402	2	12	12	NUM
ejpam-6919	402	3	]	]	PUNCT
ejpam-6919	402	4	a.	a.	NOUN
ejpam-6919	402	5	das	das	PROPN
ejpam-6919	402	6	,	,	PUNCT
ejpam-6919	402	7	d.	d.	PROPN
ejpam-6919	402	8	barman	barman	PROPN
ejpam-6919	402	9	,	,	PUNCT
ejpam-6919	402	10	and	and	CCONJ
ejpam-6919	402	11	t.	t.	NOUN
ejpam-6919	402	12	bag	bag	NOUN
ejpam-6919	402	13	.	.	PUNCT
ejpam-6919	403	1	a	a	DET
ejpam-6919	403	2	new	new	ADJ
ejpam-6919	403	3	generalization	generalization	NOUN
ejpam-6919	403	4	of	of	ADP
ejpam-6919	403	5	george	george	PROPN
ejpam-6919	403	6	and	and	CCONJ
ejpam-6919	403	7	veeramani	veeramani	NOUN
ejpam-6919	403	8	type	type	NOUN
ejpam-6919	403	9	fuzzy	fuzzy	ADJ
ejpam-6919	403	10	metric	metric	ADJ
ejpam-6919	403	11	space	space	NOUN
ejpam-6919	403	12	.	.	PUNCT
ejpam-6919	404	1	problems	problem	NOUN
ejpam-6919	404	2	of	of	ADP
ejpam-6919	404	3	analysis	analysis	NOUN
ejpam-6919	404	4	issues	issue	NOUN
ejpam-6919	404	5	of	of	ADP
ejpam-6919	404	6	analysis	analysis	NOUN
ejpam-6919	404	7	,	,	PUNCT
ejpam-6919	404	8	13(31):23–42	13(31):23–42	NUM
ejpam-6919	404	9	,	,	PUNCT
ejpam-6919	404	10	2024	2024	NUM
ejpam-6919	404	11	.	.	PUNCT
ejpam-6919	405	1	[	[	X
ejpam-6919	405	2	13	13	NUM
ejpam-6919	405	3	]	]	PUNCT
ejpam-6919	405	4	k.	k.	PROPN
ejpam-6919	405	5	atanassov	atanassov	PROPN
ejpam-6919	405	6	.	.	PUNCT
ejpam-6919	406	1	intuitionistic	intuitionistic	ADJ
ejpam-6919	406	2	fuzzy	fuzzy	ADJ
ejpam-6919	406	3	sets	set	NOUN
ejpam-6919	406	4	.	.	PUNCT
ejpam-6919	407	1	fuzzy	fuzzy	ADJ
ejpam-6919	407	2	sets	set	NOUN
ejpam-6919	407	3	and	and	CCONJ
ejpam-6919	407	4	systems	system	NOUN
ejpam-6919	407	5	,	,	PUNCT
ejpam-6919	407	6	20:87–96	20:87–96	NUM
ejpam-6919	407	7	,	,	PUNCT
ejpam-6919	407	8	1986	1986	NUM
ejpam-6919	407	9	.	.	PUNCT
ejpam-6919	408	1	[	[	X
ejpam-6919	408	2	14	14	NUM
ejpam-6919	408	3	]	]	PUNCT
ejpam-6919	408	4	j.	j.	PROPN
ejpam-6919	408	5	h.	h.	PROPN
ejpam-6919	408	6	park	park	PROPN
ejpam-6919	408	7	.	.	PUNCT
ejpam-6919	409	1	intuitionistic	intuitionistic	ADJ
ejpam-6919	409	2	fuzzy	fuzzy	ADJ
ejpam-6919	409	3	metric	metric	ADJ
ejpam-6919	409	4	spaces	space	NOUN
ejpam-6919	409	5	.	.	PUNCT
ejpam-6919	410	1	chaos	chaos	NOUN
ejpam-6919	410	2	,	,	PUNCT
ejpam-6919	410	3	solitons	soliton	NOUN
ejpam-6919	410	4	&	&	CCONJ
ejpam-6919	410	5	fractals	fractal	NOUN
ejpam-6919	410	6	,	,	PUNCT
ejpam-6919	410	7	22:1039–1046	22:1039–1046	NUM
ejpam-6919	410	8	,	,	PUNCT
ejpam-6919	410	9	2004	2004	NUM
ejpam-6919	410	10	.	.	PUNCT
ejpam-6919	411	1	[	[	X
ejpam-6919	411	2	15	15	NUM
ejpam-6919	411	3	]	]	X
ejpam-6919	411	4	x.	x.	NOUN
ejpam-6919	411	5	lia	lia	PROPN
ejpam-6919	411	6	,	,	PUNCT
ejpam-6919	411	7	m.	m.	NOUN
ejpam-6919	411	8	guoa	guoa	NOUN
ejpam-6919	411	9	,	,	PUNCT
ejpam-6919	411	10	and	and	CCONJ
ejpam-6919	411	11	y.	y.	PROPN
ejpam-6919	411	12	su	su	PROPN
ejpam-6919	411	13	.	.	PROPN
ejpam-6919	412	1	on	on	ADP
ejpam-6919	412	2	the	the	DET
ejpam-6919	412	3	intuitionistic	intuitionistic	ADJ
ejpam-6919	412	4	fuzzy	fuzzy	ADJ
ejpam-6919	412	5	metric	metric	ADJ
ejpam-6919	412	6	spaces	space	NOUN
ejpam-6919	412	7	and	and	CCONJ
ejpam-6919	412	8	the	the	DET
ejpam-6919	412	9	intuitionistic	intuitionistic	ADJ
ejpam-6919	412	10	fuzzy	fuzzy	ADJ
ejpam-6919	412	11	normed	normed	ADJ
ejpam-6919	412	12	spaces	space	NOUN
ejpam-6919	412	13	.	.	PUNCT
ejpam-6919	413	1	journal	journal	PROPN
ejpam-6919	413	2	of	of	ADP
ejpam-6919	413	3	nonlinear	nonlinear	ADJ
ejpam-6919	413	4	science	science	NOUN
ejpam-6919	413	5	and	and	CCONJ
ejpam-6919	413	6	applications	application	NOUN
ejpam-6919	413	7	,	,	PUNCT
ejpam-6919	413	8	9:5441–5448	9:5441–5448	NUM
ejpam-6919	413	9	,	,	PUNCT
ejpam-6919	413	10	2016	2016	NUM
ejpam-6919	413	11	.	.	PUNCT
ejpam-6919	414	1	[	[	X
ejpam-6919	414	2	16	16	NUM
ejpam-6919	414	3	]	]	X
ejpam-6919	414	4	f.	f.	PROPN
ejpam-6919	414	5	smarandache	smarandache	PROPN
ejpam-6919	414	6	.	.	PUNCT
ejpam-6919	415	1	neutrosophy	neutrosophy	NOUN
ejpam-6919	415	2	:	:	PUNCT
ejpam-6919	415	3	neutrosophic	neutrosophic	ADJ
ejpam-6919	415	4	probability	probability	NOUN
ejpam-6919	415	5	,	,	PUNCT
ejpam-6919	415	6	set	set	NOUN
ejpam-6919	415	7	and	and	CCONJ
ejpam-6919	415	8	logic	logic	NOUN
ejpam-6919	415	9	.	.	PUNCT
ejpam-6919	416	1	american	american	ADJ
ejpam-6919	416	2	research	research	PROPN
ejpam-6919	416	3	press	press	PROPN
ejpam-6919	416	4	,	,	PUNCT
ejpam-6919	416	5	rehoboth	rehoboth	NOUN
ejpam-6919	416	6	,	,	PUNCT
ejpam-6919	416	7	1998	1998	NUM
ejpam-6919	416	8	.	.	PUNCT
ejpam-6919	417	1	[	[	X
ejpam-6919	417	2	17	17	NUM
ejpam-6919	417	3	]	]	PUNCT
ejpam-6919	417	4	m.	m.	NOUN
ejpam-6919	417	5	kirisci	kirisci	PROPN
ejpam-6919	417	6	and	and	CCONJ
ejpam-6919	417	7	n.	n.	NOUN
ejpam-6919	417	8	simsek	simsek	PROPN
ejpam-6919	417	9	.	.	PUNCT
ejpam-6919	418	1	neutrosophic	neutrosophic	ADJ
ejpam-6919	418	2	metric	metric	ADJ
ejpam-6919	418	3	spaces	space	NOUN
ejpam-6919	418	4	.	.	PUNCT
ejpam-6919	419	1	mathematical	mathematical	ADJ
ejpam-6919	419	2	sciences	sciences	PROPN
ejpam-6919	419	3	,	,	PUNCT
ejpam-6919	419	4	14:241–248	14:241–248	PROPN
ejpam-6919	419	5	,	,	PUNCT
ejpam-6919	419	6	2020	2020	NUM
ejpam-6919	419	7	.	.	PUNCT
ejpam-6919	420	1	[	[	X
ejpam-6919	420	2	18	18	NUM
ejpam-6919	420	3	]	]	PUNCT
ejpam-6919	420	4	s.	s.	PROPN
ejpam-6919	420	5	ahmad	ahmad	PROPN
ejpam-6919	420	6	,	,	PUNCT
ejpam-6919	420	7	h.	h.	PROPN
ejpam-6919	420	8	shabir	shabir	PROPN
ejpam-6919	420	9	,	,	PUNCT
ejpam-6919	420	10	and	and	CCONJ
ejpam-6919	420	11	h.	h.	PROPN
ejpam-6919	420	12	ali	ali	PROPN
ejpam-6919	420	13	.	.	PROPN
ejpam-6919	420	14	neutrosophic	neutrosophic	PROPN
ejpam-6919	420	15	b	b	X
ejpam-6919	420	16	-	-	PUNCT
ejpam-6919	420	17	metric	metric	ADJ
ejpam-6919	420	18	spaces	space	NOUN
ejpam-6919	420	19	and	and	CCONJ
ejpam-6919	420	20	fixed	fix	VERB
ejpam-6919	420	21	point	point	NOUN
ejpam-6919	420	22	theorems	theorem	NOUN
ejpam-6919	420	23	.	.	PUNCT
ejpam-6919	420	24	neutrosophic	neutrosophic	ADJ
ejpam-6919	420	25	sets	set	NOUN
ejpam-6919	420	26	and	and	CCONJ
ejpam-6919	420	27	systems	system	NOUN
ejpam-6919	420	28	,	,	PUNCT
ejpam-6919	420	29	32:105–113	32:105–113	PROPN
ejpam-6919	420	30	,	,	PUNCT
ejpam-6919	420	31	2020	2020	NUM
ejpam-6919	420	32	.	.	PUNCT
ejpam-6919	421	1	[	[	X
ejpam-6919	421	2	19	19	NUM
ejpam-6919	421	3	]	]	X
ejpam-6919	421	4	j.	j.	PROPN
ejpam-6919	421	5	johnsy	johnsy	PROPN
ejpam-6919	421	6	and	and	CCONJ
ejpam-6919	421	7	m.	m.	PROPN
ejpam-6919	421	8	jeyaraman	jeyaraman	PROPN
ejpam-6919	421	9	.	.	PUNCT
ejpam-6919	422	1	fixed	fix	VERB
ejpam-6919	422	2	point	point	NOUN
ejpam-6919	422	3	theorems	theorem	NOUN
ejpam-6919	422	4	for	for	ADP
ejpam-6919	422	5	(	(	PUNCT
ejpam-6919	422	6	ψ−φ)-contractions	ψ−φ)-contraction	NOUN
ejpam-6919	422	7	in	in	ADP
ejpam-6919	422	8	generalized	generalized	ADJ
ejpam-6919	422	9	neutrosophic	neutrosophic	ADJ
ejpam-6919	422	10	metric	metric	ADJ
ejpam-6919	422	11	spaces	space	NOUN
ejpam-6919	422	12	.	.	PUNCT
ejpam-6919	423	1	bulletin	bulletin	NOUN
ejpam-6919	423	2	of	of	ADP
ejpam-6919	423	3	mathematical	mathematical	ADJ
ejpam-6919	423	4	analysis	analysis	NOUN
ejpam-6919	423	5	and	and	CCONJ
ejpam-6919	423	6	applications	application	NOUN
ejpam-6919	423	7	,	,	PUNCT
ejpam-6919	423	8	16(1):13–25	16(1):13–25	NUM
ejpam-6919	423	9	,	,	PUNCT
ejpam-6919	423	10	2024	2024	NUM
ejpam-6919	423	11	.	.	PUNCT
ejpam-6919	424	1	[	[	X
ejpam-6919	424	2	20	20	NUM
ejpam-6919	424	3	]	]	PUNCT
ejpam-6919	424	4	m.	m.	NOUN
ejpam-6919	424	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	424	6	and	and	CCONJ
ejpam-6919	424	7	s.	s.	PROPN
ejpam-6919	424	8	sowndrarajan	sowndrarajan	PROPN
ejpam-6919	424	9	.	.	PUNCT
ejpam-6919	425	1	common	common	ADJ
ejpam-6919	425	2	fixed	fix	VERB
ejpam-6919	425	3	point	point	NOUN
ejpam-6919	425	4	results	result	NOUN
ejpam-6919	425	5	in	in	ADP
ejpam-6919	425	6	neutrosophic	neutrosophic	ADJ
ejpam-6919	425	7	metric	metric	ADJ
ejpam-6919	425	8	spaces	space	NOUN
ejpam-6919	425	9	.	.	PUNCT
ejpam-6919	426	1	neutrosophic	neutrosophic	ADJ
ejpam-6919	426	2	sets	set	NOUN
ejpam-6919	426	3	and	and	CCONJ
ejpam-6919	426	4	systems	system	NOUN
ejpam-6919	426	5	,	,	PUNCT
ejpam-6919	426	6	42:208–220	42:208–220	NUM
ejpam-6919	426	7	,	,	PUNCT
ejpam-6919	426	8	2021	2021	NUM
ejpam-6919	426	9	.	.	PUNCT
ejpam-6919	427	1	[	[	X
ejpam-6919	427	2	21	21	NUM
ejpam-6919	427	3	]	]	PUNCT
ejpam-6919	427	4	m.	m.	NOUN
ejpam-6919	427	5	pandiselvi	pandiselvi	NOUN
ejpam-6919	427	6	and	and	CCONJ
ejpam-6919	427	7	m.	m.	PROPN
ejpam-6919	427	8	jeyaraman	jeyaraman	PROPN
ejpam-6919	427	9	.	.	PUNCT
ejpam-6919	428	1	fixed	fix	VERB
ejpam-6919	428	2	point	point	NOUN
ejpam-6919	428	3	results	result	NOUN
ejpam-6919	428	4	in	in	ADP
ejpam-6919	428	5	neutrosophic	neutrosophic	ADJ
ejpam-6919	428	6	b	b	X
ejpam-6919	428	7	-	-	ADJ
ejpam-6919	428	8	metric	metric	ADJ
ejpam-6919	428	9	like	like	ADP
ejpam-6919	428	10	spaces	space	NOUN
ejpam-6919	428	11	.	.	PUNCT
ejpam-6919	429	1	neutrosophic	neutrosophic	ADJ
ejpam-6919	429	2	sets	set	NOUN
ejpam-6919	429	3	and	and	CCONJ
ejpam-6919	429	4	systems	system	NOUN
ejpam-6919	429	5	,	,	PUNCT
ejpam-6919	429	6	70:64–72	70:64–72	NUM
ejpam-6919	429	7	,	,	PUNCT
ejpam-6919	429	8	2024	2024	NUM
ejpam-6919	429	9	.	.	PUNCT
ejpam-6919	430	1	[	[	X
ejpam-6919	430	2	22	22	NUM
ejpam-6919	430	3	]	]	PUNCT
ejpam-6919	430	4	m.	m.	NOUN
ejpam-6919	430	5	akram	akram	PROPN
ejpam-6919	430	6	,	,	PUNCT
ejpam-6919	430	7	u.	u.	PROPN
ejpam-6919	430	8	ishtiaq	ishtiaq	PROPN
ejpam-6919	430	9	,	,	PUNCT
ejpam-6919	430	10	k.	k.	PROPN
ejpam-6919	430	11	ahmad	ahmad	PROPN
ejpam-6919	430	12	,	,	PUNCT
ejpam-6919	430	13	t.	t.	PROPN
ejpam-6919	430	14	a.	a.	PROPN
ejpam-6919	430	15	lazar	lazar	PROPN
ejpam-6919	430	16	,	,	PUNCT
ejpam-6919	430	17	v.	v.	PROPN
ejpam-6919	430	18	l.	l.	PROPN
ejpam-6919	430	19	lazar	lazar	PROPN
ejpam-6919	430	20	,	,	PUNCT
ejpam-6919	430	21	and	and	CCONJ
ejpam-6919	430	22	l.	l.	PROPN
ejpam-6919	430	23	guran	guran	PROPN
ejpam-6919	430	24	.	.	PUNCT
ejpam-6919	431	1	some	some	DET
ejpam-6919	431	2	generalized	generalize	VERB
ejpam-6919	431	3	neutrosophic	neutrosophic	ADJ
ejpam-6919	431	4	metric	metric	ADJ
ejpam-6919	431	5	spaces	space	NOUN
ejpam-6919	431	6	and	and	CCONJ
ejpam-6919	431	7	fixed	fix	VERB
ejpam-6919	431	8	point	point	NOUN
ejpam-6919	431	9	results	result	NOUN
ejpam-6919	431	10	with	with	ADP
ejpam-6919	431	11	applications	application	NOUN
ejpam-6919	431	12	.	.	PUNCT
ejpam-6919	432	1	symmetry	symmetry	NOUN
ejpam-6919	432	2	,	,	PUNCT
ejpam-6919	432	3	16(6):664	16(6):664	NUM
ejpam-6919	432	4	,	,	PUNCT
ejpam-6919	432	5	2024	2024	NUM
ejpam-6919	432	6	.	.	PUNCT
ejpam-6919	433	1	[	[	X
ejpam-6919	433	2	23	23	NUM
ejpam-6919	433	3	]	]	PUNCT
ejpam-6919	433	4	m.	m.	NOUN
ejpam-6919	433	5	abbas	abbas	PROPN
ejpam-6919	433	6	,	,	PUNCT
ejpam-6919	433	7	f.	f.	PROPN
ejpam-6919	433	8	lael	lael	PROPN
ejpam-6919	433	9	,	,	PUNCT
ejpam-6919	433	10	and	and	CCONJ
ejpam-6919	433	11	n.	n.	PROPN
ejpam-6919	433	12	saleem	saleem	PROPN
ejpam-6919	433	13	.	.	PUNCT
ejpam-6919	434	1	fuzzy	fuzzy	ADJ
ejpam-6919	434	2	b	b	X
ejpam-6919	434	3	-	-	PUNCT
ejpam-6919	434	4	metric	metric	ADJ
ejpam-6919	434	5	spaces	space	NOUN
ejpam-6919	434	6	:	:	PUNCT
ejpam-6919	434	7	fixed	fix	VERB
ejpam-6919	434	8	point	point	NOUN
ejpam-6919	434	9	results	result	NOUN
ejpam-6919	434	10	for	for	ADP
ejpam-6919	434	11	ϕ-contraction	ϕ-contraction	NOUN
ejpam-6919	434	12	correspondences	correspondence	NOUN
ejpam-6919	434	13	and	and	CCONJ
ejpam-6919	434	14	their	their	PRON
ejpam-6919	434	15	application	application	NOUN
ejpam-6919	434	16	.	.	PUNCT
ejpam-6919	435	1	axioms	axiom	NOUN
ejpam-6919	435	2	,	,	PUNCT
ejpam-6919	435	3	9(2):59	9(2):59	NUM
ejpam-6919	435	4	,	,	PUNCT
ejpam-6919	435	5	2020	2020	NUM
ejpam-6919	435	6	.	.	PUNCT
ejpam-6919	436	1	[	[	X
ejpam-6919	436	2	24	24	NUM
ejpam-6919	436	3	]	]	PUNCT
ejpam-6919	436	4	r.	r.	PROPN
ejpam-6919	436	5	i.	i.	PROPN
ejpam-6919	436	6	sabri	sabri	PROPN
ejpam-6919	436	7	and	and	CCONJ
ejpam-6919	436	8	b.	b.	PROPN
ejpam-6919	436	9	a.	a.	PROPN
ejpam-6919	436	10	a.	a.	PROPN
ejpam-6919	436	11	ahmed	ahmed	PROPN
ejpam-6919	436	12	.	.	PUNCT
ejpam-6919	437	1	some	some	DET
ejpam-6919	437	2	results	result	NOUN
ejpam-6919	437	3	of	of	ADP
ejpam-6919	437	4	fixed	fix	VERB
ejpam-6919	437	5	point	point	NOUN
ejpam-6919	437	6	for	for	ADP
ejpam-6919	437	7	single	single	ADJ
ejpam-6919	437	8	value	value	NOUN
ejpam-6919	437	9	mapping	mapping	NOUN
ejpam-6919	437	10	in	in	ADP
ejpam-6919	437	11	fuzzy	fuzzy	ADJ
ejpam-6919	437	12	normed	normed	ADJ
ejpam-6919	437	13	space	space	NOUN
ejpam-6919	437	14	with	with	ADP
ejpam-6919	437	15	applications	application	NOUN
ejpam-6919	437	16	.	.	PUNCT
ejpam-6919	438	1	iraqi	iraqi	ADJ
ejpam-6919	438	2	journal	journal	PROPN
ejpam-6919	438	3	of	of	ADP
ejpam-6919	438	4	science	science	NOUN
ejpam-6919	438	5	,	,	PUNCT
ejpam-6919	438	6	65(4):2105–2113	65(4):2105–2113	NUM
ejpam-6919	438	7	,	,	PUNCT
ejpam-6919	438	8	2024	2024	NUM
ejpam-6919	438	9	.	.	PUNCT
ejpam-6919	439	1	[	[	X
ejpam-6919	439	2	25	25	NUM
ejpam-6919	439	3	]	]	PUNCT
ejpam-6919	439	4	r.	r.	PROPN
ejpam-6919	439	5	i.	i.	PROPN
ejpam-6919	439	6	sabri	sabri	PROPN
ejpam-6919	439	7	and	and	CCONJ
ejpam-6919	439	8	b.	b.	PROPN
ejpam-6919	439	9	a.	a.	PROPN
ejpam-6919	439	10	a.	a.	PROPN
ejpam-6919	439	11	ahmad	ahmad	PROPN
ejpam-6919	439	12	.	.	PUNCT
ejpam-6919	440	1	best	good	ADJ
ejpam-6919	440	2	proximity	proximity	NOUN
ejpam-6919	440	3	point	point	NOUN
ejpam-6919	440	4	results	result	NOUN
ejpam-6919	440	5	in	in	ADP
ejpam-6919	440	6	fuzzy	fuzzy	ADJ
ejpam-6919	440	7	normed	normed	ADJ
ejpam-6919	440	8	spaces	space	NOUN
ejpam-6919	440	9	.	.	PUNCT
ejpam-6919	441	1	science	science	NOUN
ejpam-6919	441	2	and	and	CCONJ
ejpam-6919	441	3	technology	technology	PROPN
ejpam-6919	441	4	indonesia	indonesia	PROPN
ejpam-6919	441	5	,	,	PUNCT
ejpam-6919	441	6	8(2):298–304	8(2):298–304	NUM
ejpam-6919	441	7	,	,	PUNCT
ejpam-6919	441	8	2023	2023	NUM
ejpam-6919	441	9	.	.	PUNCT
ejpam-6919	442	1	m.	m.	NOUN
ejpam-6919	442	2	pandiselvi	pandiselvi	PROPN
ejpam-6919	442	3	,	,	PUNCT
ejpam-6919	442	4	m.	m.	NOUN
ejpam-6919	442	5	jeyaraman	jeyaraman	PROPN
ejpam-6919	442	6	,	,	PUNCT
ejpam-6919	442	7	m.	m.	NOUN
ejpam-6919	442	8	akram	akram	PROPN
ejpam-6919	442	9	/	/	PUNCT
ejpam-6919	442	10	eur	eur	PROPN
ejpam-6919	442	11	.	.	PUNCT
ejpam-6919	443	1	j.	j.	PROPN
ejpam-6919	443	2	pure	pure	PROPN
ejpam-6919	443	3	appl	appl	PROPN
ejpam-6919	443	4	.	.	PROPN
ejpam-6919	443	5	math	math	PROPN
ejpam-6919	443	6	,	,	PUNCT
ejpam-6919	443	7	18	18	NUM
ejpam-6919	443	8	(	(	PUNCT
ejpam-6919	443	9	4	4	NUM
ejpam-6919	443	10	)	)	PUNCT
ejpam-6919	443	11	(	(	PUNCT
ejpam-6919	443	12	2025	2025	NUM
ejpam-6919	443	13	)	)	PUNCT
ejpam-6919	443	14	,	,	PUNCT
ejpam-6919	443	15	6919	6919	NUM
ejpam-6919	443	16	16	16	NUM
ejpam-6919	443	17	of	of	ADP
ejpam-6919	443	18	16	16	NUM
ejpam-6919	444	1	[	[	X
ejpam-6919	444	2	26	26	NUM
ejpam-6919	444	3	]	]	PUNCT
ejpam-6919	444	4	r.	r.	PROPN
ejpam-6919	444	5	i.	i.	PROPN
ejpam-6919	444	6	sabri	sabri	PROPN
ejpam-6919	444	7	,	,	PUNCT
ejpam-6919	444	8	j.	j.	PROPN
ejpam-6919	444	9	h.	h.	PROPN
ejpam-6919	444	10	eidi	eidi	PROPN
ejpam-6919	444	11	,	,	PUNCT
ejpam-6919	444	12	and	and	CCONJ
ejpam-6919	444	13	h.	h.	PROPN
ejpam-6919	444	14	s.	s.	PROPN
ejpam-6919	444	15	alallak	alallak	PROPN
ejpam-6919	444	16	.	.	PUNCT
ejpam-6919	445	1	fixed	fix	VERB
ejpam-6919	445	2	points	point	NOUN
ejpam-6919	445	3	results	result	NOUN
ejpam-6919	445	4	in	in	ADP
ejpam-6919	445	5	algebra	algebra	NOUN
ejpam-6919	445	6	fuzzy	fuzzy	ADJ
ejpam-6919	445	7	metric	metric	ADJ
ejpam-6919	445	8	space	space	NOUN
ejpam-6919	445	9	with	with	ADP
ejpam-6919	445	10	an	an	DET
ejpam-6919	445	11	application	application	NOUN
ejpam-6919	445	12	to	to	ADP
ejpam-6919	445	13	integral	integral	ADJ
ejpam-6919	445	14	equations	equation	NOUN
ejpam-6919	445	15	.	.	PUNCT
ejpam-6919	446	1	international	international	ADJ
ejpam-6919	446	2	journal	journal	PROPN
ejpam-6919	446	3	of	of	ADP
ejpam-6919	446	4	neutrosophic	neutrosophic	ADJ
ejpam-6919	446	5	science	science	NOUN
ejpam-6919	446	6	,	,	PUNCT
ejpam-6919	446	7	25(4):399–407	25(4):399–407	PROPN
ejpam-6919	446	8	,	,	PUNCT
ejpam-6919	446	9	2025	2025	NUM
ejpam-6919	446	10	.	.	PUNCT