id	sid	tid	token	lemma	pos
ejpam-5785	1	1	european	european	PROPN
ejpam-5785	1	2	journal	journal	PROPN
ejpam-5785	1	3	of	of	ADP
ejpam-5785	1	4	pure	pure	ADJ
ejpam-5785	1	5	and	and	CCONJ
ejpam-5785	1	6	applied	applied	ADJ
ejpam-5785	1	7	mathematics	mathematic	NOUN
ejpam-5785	1	8	2025	2025	NUM
ejpam-5785	1	9	,	,	PUNCT
ejpam-5785	1	10	vol	vol	NOUN
ejpam-5785	1	11	.	.	PROPN
ejpam-5785	1	12	18	18	NUM
ejpam-5785	1	13	,	,	PUNCT
ejpam-5785	1	14	issue	issue	NOUN
ejpam-5785	1	15	1	1	NUM
ejpam-5785	1	16	,	,	PUNCT
ejpam-5785	1	17	article	article	NOUN
ejpam-5785	1	18	number	number	NOUN
ejpam-5785	1	19	5785	5785	NUM
ejpam-5785	1	20	issn	issn	PROPN
ejpam-5785	1	21	1307	1307	NUM
ejpam-5785	1	22	-	-	SYM
ejpam-5785	1	23	5543	5543	NUM
ejpam-5785	1	24	–	–	PUNCT
ejpam-5785	1	25	ejpam.com	ejpam.com	X
ejpam-5785	1	26	published	publish	VERB
ejpam-5785	1	27	by	by	ADP
ejpam-5785	1	28	new	new	PROPN
ejpam-5785	1	29	york	york	PROPN
ejpam-5785	1	30	business	business	PROPN
ejpam-5785	1	31	global	global	PROPN
ejpam-5785	1	32	quasi	quasi	ADJ
ejpam-5785	1	33	contractions	contraction	NOUN
ejpam-5785	1	34	and	and	CCONJ
ejpam-5785	1	35	fixed	fix	VERB
ejpam-5785	1	36	point	point	NOUN
ejpam-5785	1	37	theorems	theorem	NOUN
ejpam-5785	1	38	in	in	ADP
ejpam-5785	1	39	the	the	DET
ejpam-5785	1	40	context	context	NOUN
ejpam-5785	1	41	of	of	ADP
ejpam-5785	1	42	neutrosophic	neutrosophic	ADJ
ejpam-5785	1	43	fuzzy	fuzzy	ADJ
ejpam-5785	1	44	metric	metric	ADJ
ejpam-5785	1	45	spaces	space	NOUN
ejpam-5785	1	46	anwar	anwar	PROPN
ejpam-5785	1	47	bataihah1,∗	bataihah1,∗	PROPN
ejpam-5785	1	48	,	,	PUNCT
ejpam-5785	1	49	ayman	ayman	NOUN
ejpam-5785	1	50	hazaymeh1	hazaymeh1	PROPN
ejpam-5785	1	51	1	1	NUM
ejpam-5785	1	52	department	department	NOUN
ejpam-5785	1	53	of	of	ADP
ejpam-5785	1	54	mathematics	mathematic	NOUN
ejpam-5785	1	55	,	,	PUNCT
ejpam-5785	1	56	faculty	faculty	NOUN
ejpam-5785	1	57	of	of	ADP
ejpam-5785	1	58	science	science	NOUN
ejpam-5785	1	59	,	,	PUNCT
ejpam-5785	1	60	jadara	jadara	PROPN
ejpam-5785	1	61	university	university	PROPN
ejpam-5785	1	62	,	,	PUNCT
ejpam-5785	1	63	irbid	irbid	PROPN
ejpam-5785	1	64	,	,	PUNCT
ejpam-5785	1	65	jordan	jordan	PROPN
ejpam-5785	1	66	abstract	abstract	PROPN
ejpam-5785	1	67	.	.	PUNCT
ejpam-5785	2	1	fixed	fix	VERB
ejpam-5785	2	2	point	point	NOUN
ejpam-5785	2	3	theory	theory	NOUN
ejpam-5785	2	4	has	have	AUX
ejpam-5785	2	5	garnered	garner	VERB
ejpam-5785	2	6	significant	significant	ADJ
ejpam-5785	2	7	interest	interest	NOUN
ejpam-5785	2	8	due	due	ADP
ejpam-5785	2	9	to	to	ADP
ejpam-5785	2	10	its	its	PRON
ejpam-5785	2	11	applicability	applicability	NOUN
ejpam-5785	2	12	across	across	ADP
ejpam-5785	2	13	various	various	ADJ
ejpam-5785	2	14	scientific	scientific	ADJ
ejpam-5785	2	15	disciplines	discipline	NOUN
ejpam-5785	2	16	.	.	PUNCT
ejpam-5785	3	1	in	in	ADP
ejpam-5785	3	2	this	this	DET
ejpam-5785	3	3	manuscript	manuscript	NOUN
ejpam-5785	3	4	,	,	PUNCT
ejpam-5785	3	5	we	we	PRON
ejpam-5785	3	6	present	present	VERB
ejpam-5785	3	7	fixed	fix	VERB
ejpam-5785	3	8	point	point	NOUN
ejpam-5785	3	9	theorems	theorem	NOUN
ejpam-5785	3	10	pertaining	pertain	VERB
ejpam-5785	3	11	to	to	ADP
ejpam-5785	3	12	neutrosophic	neutrosophic	ADJ
ejpam-5785	3	13	fuzzy	fuzzy	ADJ
ejpam-5785	3	14	quasi	quasi	NOUN
ejpam-5785	3	15	-	-	NOUN
ejpam-5785	3	16	contractions	contraction	NOUN
ejpam-5785	3	17	,	,	PUNCT
ejpam-5785	3	18	situated	situate	VERB
ejpam-5785	3	19	within	within	ADP
ejpam-5785	3	20	the	the	DET
ejpam-5785	3	21	sophisticated	sophisticated	ADJ
ejpam-5785	3	22	framework	framework	NOUN
ejpam-5785	3	23	of	of	ADP
ejpam-5785	3	24	neutrosophic	neutrosophic	ADJ
ejpam-5785	3	25	fuzzy	fuzzy	ADJ
ejpam-5785	3	26	metric	metric	ADJ
ejpam-5785	3	27	spaces	space	NOUN
ejpam-5785	3	28	.	.	PUNCT
ejpam-5785	4	1	furthermore	furthermore	ADV
ejpam-5785	4	2	,	,	PUNCT
ejpam-5785	4	3	we	we	PRON
ejpam-5785	4	4	establish	establish	VERB
ejpam-5785	4	5	several	several	ADJ
ejpam-5785	4	6	fixed	fix	VERB
ejpam-5785	4	7	point	point	NOUN
ejpam-5785	4	8	results	result	NOUN
ejpam-5785	4	9	pertinent	pertinent	ADJ
ejpam-5785	4	10	to	to	ADP
ejpam-5785	4	11	this	this	DET
ejpam-5785	4	12	field	field	NOUN
ejpam-5785	4	13	of	of	ADP
ejpam-5785	4	14	research	research	NOUN
ejpam-5785	4	15	.	.	PUNCT
ejpam-5785	5	1	2020	2020	NUM
ejpam-5785	5	2	mathematics	mathematic	NOUN
ejpam-5785	5	3	subject	subject	NOUN
ejpam-5785	5	4	classifications	classification	NOUN
ejpam-5785	5	5	:	:	PUNCT
ejpam-5785	5	6	37c25	37c25	NUM
ejpam-5785	5	7	,	,	PUNCT
ejpam-5785	5	8	55m20	55m20	NUM
ejpam-5785	5	9	,	,	PUNCT
ejpam-5785	5	10	26e50	26e50	NUM
ejpam-5785	5	11	,	,	PUNCT
ejpam-5785	5	12	46s40	46s40	NUM
ejpam-5785	5	13	key	key	ADJ
ejpam-5785	5	14	words	word	NOUN
ejpam-5785	5	15	and	and	CCONJ
ejpam-5785	5	16	phrases	phrase	NOUN
ejpam-5785	5	17	:	:	PUNCT
ejpam-5785	5	18	fixed	fixed	ADJ
ejpam-5785	5	19	point	point	NOUN
ejpam-5785	5	20	theory	theory	NOUN
ejpam-5785	5	21	,	,	PUNCT
ejpam-5785	5	22	neutrosophic	neutrosophic	ADJ
ejpam-5785	5	23	fuzzy	fuzzy	ADJ
ejpam-5785	5	24	metric	metric	ADJ
ejpam-5785	5	25	spaces	space	NOUN
ejpam-5785	5	26	,	,	PUNCT
ejpam-5785	5	27	banach	banach	NOUN
ejpam-5785	5	28	contraction	contraction	NOUN
ejpam-5785	5	29	principle	principle	NOUN
ejpam-5785	5	30	,	,	PUNCT
ejpam-5785	5	31	quasi	quasi	ADJ
ejpam-5785	5	32	-	-	NOUN
ejpam-5785	5	33	contractions	contraction	NOUN
ejpam-5785	5	34	,	,	PUNCT
ejpam-5785	5	35	linear	linear	ADJ
ejpam-5785	5	36	contractions	contraction	NOUN
ejpam-5785	5	37	1	1	NUM
ejpam-5785	5	38	.	.	PUNCT
ejpam-5785	5	39	introduction	introduction	NOUN
ejpam-5785	5	40	the	the	DET
ejpam-5785	5	41	banach	banach	ADV
ejpam-5785	5	42	fixed	fix	VERB
ejpam-5785	5	43	-	-	PUNCT
ejpam-5785	5	44	point	point	NOUN
ejpam-5785	5	45	theorem	theorem	NOUN
ejpam-5785	5	46	[	[	X
ejpam-5785	5	47	6	6	NUM
ejpam-5785	5	48	]	]	PUNCT
ejpam-5785	5	49	,	,	PUNCT
ejpam-5785	5	50	often	often	ADV
ejpam-5785	5	51	referred	refer	VERB
ejpam-5785	5	52	to	to	ADP
ejpam-5785	5	53	as	as	ADP
ejpam-5785	5	54	the	the	DET
ejpam-5785	5	55	banach	banach	NOUN
ejpam-5785	5	56	contraction	contraction	NOUN
ejpam-5785	5	57	principle	principle	NOUN
ejpam-5785	5	58	,	,	PUNCT
ejpam-5785	5	59	represents	represent	VERB
ejpam-5785	5	60	a	a	DET
ejpam-5785	5	61	cornerstone	cornerstone	NOUN
ejpam-5785	5	62	in	in	ADP
ejpam-5785	5	63	mathematical	mathematical	ADJ
ejpam-5785	5	64	analysis	analysis	NOUN
ejpam-5785	5	65	,	,	PUNCT
ejpam-5785	5	66	especially	especially	ADV
ejpam-5785	5	67	within	within	ADP
ejpam-5785	5	68	the	the	DET
ejpam-5785	5	69	realm	realm	NOUN
ejpam-5785	5	70	of	of	ADP
ejpam-5785	5	71	metric	metric	ADJ
ejpam-5785	5	72	spaces	space	NOUN
ejpam-5785	5	73	.	.	PUNCT
ejpam-5785	6	1	this	this	DET
ejpam-5785	6	2	theorem	theorem	ADJ
ejpam-5785	6	3	guarantees	guarantee	VERB
ejpam-5785	6	4	both	both	CCONJ
ejpam-5785	6	5	the	the	DET
ejpam-5785	6	6	existence	existence	NOUN
ejpam-5785	6	7	and	and	CCONJ
ejpam-5785	6	8	uniqueness	uniqueness	NOUN
ejpam-5785	6	9	of	of	ADP
ejpam-5785	6	10	fixed	fix	VERB
ejpam-5785	6	11	points	point	NOUN
ejpam-5785	6	12	for	for	ADP
ejpam-5785	6	13	certain	certain	ADJ
ejpam-5785	6	14	self	self	NOUN
ejpam-5785	6	15	-	-	PUNCT
ejpam-5785	6	16	maps	map	NOUN
ejpam-5785	6	17	,	,	PUNCT
ejpam-5785	6	18	provided	provide	VERB
ejpam-5785	6	19	specific	specific	ADJ
ejpam-5785	6	20	conditions	condition	NOUN
ejpam-5785	6	21	are	be	AUX
ejpam-5785	6	22	met	meet	VERB
ejpam-5785	6	23	in	in	ADP
ejpam-5785	6	24	metric	metric	ADJ
ejpam-5785	6	25	spaces	space	NOUN
ejpam-5785	6	26	.	.	PUNCT
ejpam-5785	7	1	essentially	essentially	ADV
ejpam-5785	7	2	,	,	PUNCT
ejpam-5785	7	3	the	the	DET
ejpam-5785	7	4	banach	banach	ADV
ejpam-5785	7	5	fixed	fix	VERB
ejpam-5785	7	6	-	-	PUNCT
ejpam-5785	7	7	point	point	NOUN
ejpam-5785	7	8	theorem	theorem	NOUN
ejpam-5785	7	9	offers	offer	VERB
ejpam-5785	7	10	a	a	DET
ejpam-5785	7	11	comprehensive	comprehensive	ADJ
ejpam-5785	7	12	framework	framework	NOUN
ejpam-5785	7	13	for	for	ADP
ejpam-5785	7	14	picard	picard	PROPN
ejpam-5785	7	15	’s	’s	PART
ejpam-5785	7	16	method	method	NOUN
ejpam-5785	7	17	of	of	ADP
ejpam-5785	7	18	successive	successive	ADJ
ejpam-5785	7	19	approximations	approximation	NOUN
ejpam-5785	7	20	and	and	CCONJ
ejpam-5785	7	21	has	have	AUX
ejpam-5785	7	22	found	find	VERB
ejpam-5785	7	23	extensive	extensive	ADJ
ejpam-5785	7	24	application	application	NOUN
ejpam-5785	7	25	across	across	ADP
ejpam-5785	7	26	various	various	ADJ
ejpam-5785	7	27	branches	branch	NOUN
ejpam-5785	7	28	of	of	ADP
ejpam-5785	7	29	mathematics	mathematic	NOUN
ejpam-5785	7	30	.	.	PUNCT
ejpam-5785	8	1	introduced	introduce	VERB
ejpam-5785	8	2	by	by	ADP
ejpam-5785	8	3	stefan	stefan	PROPN
ejpam-5785	8	4	banach	banach	PROPN
ejpam-5785	8	5	(	(	PUNCT
ejpam-5785	8	6	1892–1945	1892–1945	NUM
ejpam-5785	8	7	)	)	PUNCT
ejpam-5785	8	8	in	in	ADP
ejpam-5785	8	9	1922	1922	NUM
ejpam-5785	8	10	,	,	PUNCT
ejpam-5785	8	11	this	this	DET
ejpam-5785	8	12	theorem	theorem	NOUN
ejpam-5785	8	13	has	have	AUX
ejpam-5785	8	14	inspired	inspire	VERB
ejpam-5785	8	15	a	a	DET
ejpam-5785	8	16	multitude	multitude	NOUN
ejpam-5785	8	17	of	of	ADP
ejpam-5785	8	18	mathematicians	mathematician	NOUN
ejpam-5785	8	19	to	to	PART
ejpam-5785	8	20	explore	explore	VERB
ejpam-5785	8	21	numerous	numerous	ADJ
ejpam-5785	8	22	extensions	extension	NOUN
ejpam-5785	8	23	and	and	CCONJ
ejpam-5785	8	24	generalizations	generalization	NOUN
ejpam-5785	8	25	in	in	ADP
ejpam-5785	8	26	diverse	diverse	ADJ
ejpam-5785	8	27	mathematical	mathematical	ADJ
ejpam-5785	8	28	fields	field	NOUN
ejpam-5785	8	29	,	,	PUNCT
ejpam-5785	8	30	as	as	SCONJ
ejpam-5785	8	31	indicated	indicate	VERB
ejpam-5785	8	32	by	by	ADP
ejpam-5785	8	33	the	the	DET
ejpam-5785	8	34	references	reference	NOUN
ejpam-5785	8	35	in	in	ADP
ejpam-5785	8	36	[	[	X
ejpam-5785	8	37	2	2	NUM
ejpam-5785	8	38	,	,	PUNCT
ejpam-5785	8	39	8–10	8–10	NOUN
ejpam-5785	8	40	,	,	PUNCT
ejpam-5785	8	41	22	22	NUM
ejpam-5785	8	42	,	,	PUNCT
ejpam-5785	8	43	23	23	NUM
ejpam-5785	8	44	,	,	PUNCT
ejpam-5785	8	45	25	25	NUM
ejpam-5785	8	46	,	,	PUNCT
ejpam-5785	8	47	29	29	NUM
ejpam-5785	8	48	,	,	PUNCT
ejpam-5785	8	49	34–36	34–36	NUM
ejpam-5785	8	50	]	]	PUNCT
ejpam-5785	8	51	.	.	PUNCT
ejpam-5785	9	1	in	in	ADP
ejpam-5785	9	2	[	[	X
ejpam-5785	9	3	30	30	NUM
ejpam-5785	9	4	]	]	PUNCT
ejpam-5785	9	5	,	,	PUNCT
ejpam-5785	9	6	the	the	DET
ejpam-5785	9	7	authors	author	NOUN
ejpam-5785	9	8	present	present	VERB
ejpam-5785	9	9	the	the	DET
ejpam-5785	9	10	concept	concept	NOUN
ejpam-5785	9	11	of	of	ADP
ejpam-5785	9	12	α̌	α̌	PROPN
ejpam-5785	9	13	,	,	PUNCT
ejpam-5785	9	14	η̌	η̌	PUNCT
ejpam-5785	9	15	proximal	proximal	ADJ
ejpam-5785	9	16	contractive	contractive	ADJ
ejpam-5785	9	17	mappings	mapping	NOUN
ejpam-5785	9	18	.	.	PUNCT
ejpam-5785	10	1	subsequently	subsequently	ADV
ejpam-5785	10	2	,	,	PUNCT
ejpam-5785	10	3	they	they	PRON
ejpam-5785	10	4	establish	establish	VERB
ejpam-5785	10	5	a	a	DET
ejpam-5785	10	6	theorem	theorem	NOUN
ejpam-5785	10	7	regarding	regard	VERB
ejpam-5785	10	8	the	the	DET
ejpam-5785	10	9	best	good	ADJ
ejpam-5785	10	10	proximity	proximity	NOUN
ejpam-5785	10	11	point	point	NOUN
ejpam-5785	10	12	for	for	ADP
ejpam-5785	10	13	this	this	DET
ejpam-5785	10	14	class	class	NOUN
ejpam-5785	10	15	of	of	ADP
ejpam-5785	10	16	mappings	mapping	NOUN
ejpam-5785	10	17	within	within	ADP
ejpam-5785	10	18	the	the	DET
ejpam-5785	10	19	context	context	NOUN
ejpam-5785	10	20	of	of	ADP
ejpam-5785	10	21	a	a	DET
ejpam-5785	10	22	fuzzy	fuzzy	ADJ
ejpam-5785	10	23	banach	banach	NOUN
ejpam-5785	10	24	space	space	NOUN
ejpam-5785	10	25	,	,	PUNCT
ejpam-5785	10	26	demonstrating	demonstrate	VERB
ejpam-5785	10	27	significant	significant	ADJ
ejpam-5785	10	28	results	result	NOUN
ejpam-5785	10	29	related	relate	VERB
ejpam-5785	10	30	to	to	ADP
ejpam-5785	10	31	best	good	ADJ
ejpam-5785	10	32	proximity	proximity	NOUN
ejpam-5785	10	33	points	point	NOUN
ejpam-5785	10	34	for	for	ADP
ejpam-5785	10	35	these	these	DET
ejpam-5785	10	36	contractions	contraction	NOUN
ejpam-5785	10	37	.	.	PUNCT
ejpam-5785	11	1	in	in	ADP
ejpam-5785	11	2	the	the	DET
ejpam-5785	11	3	work	work	NOUN
ejpam-5785	11	4	referenced	reference	VERB
ejpam-5785	11	5	as	as	ADP
ejpam-5785	11	6	[	[	X
ejpam-5785	11	7	33	33	NUM
ejpam-5785	11	8	]	]	PUNCT
ejpam-5785	11	9	,	,	PUNCT
ejpam-5785	11	10	the	the	DET
ejpam-5785	11	11	authors	author	NOUN
ejpam-5785	11	12	established	establish	VERB
ejpam-5785	11	13	the	the	DET
ejpam-5785	11	14	existence	existence	NOUN
ejpam-5785	11	15	of	of	ADP
ejpam-5785	11	16	coincidence	coincidence	NOUN
ejpam-5785	11	17	and	and	CCONJ
ejpam-5785	11	18	best	good	ADJ
ejpam-5785	11	19	proximity	proximity	NOUN
ejpam-5785	11	20	points	point	NOUN
ejpam-5785	11	21	for	for	ADP
ejpam-5785	11	22	fuzzy	fuzzy	ADJ
ejpam-5785	11	23	(	(	PUNCT
ejpam-5785	11	24	α−η)and	α−η)and	PRON
ejpam-5785	11	25	fuzzy	fuzzy	ADJ
ejpam-5785	11	26	(	(	PUNCT
ejpam-5785	11	27	β−ψ)-generalized	β−ψ)-generalize	VERB
ejpam-5785	11	28	proximal	proximal	ADJ
ejpam-5785	11	29	contractions	contraction	NOUN
ejpam-5785	11	30	within	within	ADP
ejpam-5785	11	31	the	the	DET
ejpam-5785	11	32	context	context	NOUN
ejpam-5785	11	33	of	of	ADP
ejpam-5785	11	34	b	b	NOUN
ejpam-5785	11	35	-	-	PUNCT
ejpam-5785	11	36	fuzzy	fuzzy	ADJ
ejpam-5785	11	37	∗corresponding	∗corresponding	NOUN
ejpam-5785	11	38	author	author	NOUN
ejpam-5785	11	39	.	.	PUNCT
ejpam-5785	12	1	doi	doi	NOUN
ejpam-5785	12	2	:	:	PUNCT
ejpam-5785	12	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5785	https://doi.org/10.29020/nybg.ejpam.v18i1.5785	ADJ
ejpam-5785	12	4	email	email	NOUN
ejpam-5785	12	5	addresses	address	NOUN
ejpam-5785	12	6	:	:	PUNCT
ejpam-5785	12	7	a.bataihah@jadara.edu.jo	a.bataihah@jadara.edu.jo	NOUN
ejpam-5785	12	8	;	;	PUNCT
ejpam-5785	12	9	anwerbataihah@gmail.com	anwerbataihah@gmail.com	X
ejpam-5785	12	10	(	(	PUNCT
ejpam-5785	12	11	a.	a.	NOUN
ejpam-5785	12	12	bataihah	bataihah	PROPN
ejpam-5785	12	13	)	)	PUNCT
ejpam-5785	12	14	,	,	PUNCT
ejpam-5785	12	15	aymanha@jadara.edu.jo	aymanha@jadara.edu.jo	INTJ
ejpam-5785	12	16	(	(	PUNCT
ejpam-5785	12	17	a.	a.	NOUN
ejpam-5785	12	18	hazaymeh	hazaymeh	PROPN
ejpam-5785	12	19	)	)	PUNCT
ejpam-5785	12	20	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5785	13	1	1	1	NUM
ejpam-5785	13	2	copyright	copyright	NOUN
ejpam-5785	13	3	:	:	PUNCT
ejpam-5785	13	4	©	©	PROPN
ejpam-5785	13	5	2025	2025	NUM
ejpam-5785	13	6	the	the	DET
ejpam-5785	13	7	author(s	author(s	NOUN
ejpam-5785	13	8	)	)	PUNCT
ejpam-5785	13	9	.	.	PUNCT
ejpam-5785	14	1	(	(	PUNCT
ejpam-5785	14	2	cc	cc	NOUN
ejpam-5785	14	3	by	by	ADP
ejpam-5785	14	4	-	-	PUNCT
ejpam-5785	14	5	nc	nc	PROPN
ejpam-5785	14	6	4.0	4.0	NUM
ejpam-5785	14	7	)	)	PUNCT
ejpam-5785	14	8	a.	a.	NOUN
ejpam-5785	14	9	bataihah	bataihah	PROPN
ejpam-5785	14	10	,	,	PUNCT
ejpam-5785	14	11	a.	a.	NOUN
ejpam-5785	14	12	hazaymeh	hazaymeh	NOUN
ejpam-5785	14	13	/	/	SYM
ejpam-5785	14	14	eur	eur	PROPN
ejpam-5785	14	15	.	.	PUNCT
ejpam-5785	15	1	j.	j.	PROPN
ejpam-5785	15	2	pure	pure	PROPN
ejpam-5785	15	3	appl	appl	PROPN
ejpam-5785	15	4	.	.	PROPN
ejpam-5785	15	5	math	math	PROPN
ejpam-5785	15	6	,	,	PUNCT
ejpam-5785	15	7	18	18	NUM
ejpam-5785	15	8	(	(	PUNCT
ejpam-5785	15	9	1	1	NUM
ejpam-5785	15	10	)	)	PUNCT
ejpam-5785	15	11	(	(	PUNCT
ejpam-5785	15	12	2025	2025	NUM
ejpam-5785	15	13	)	)	PUNCT
ejpam-5785	15	14	,	,	PUNCT
ejpam-5785	15	15	5785	5785	NUM
ejpam-5785	15	16	2	2	NUM
ejpam-5785	15	17	of	of	ADP
ejpam-5785	15	18	15	15	NUM
ejpam-5785	15	19	metric	metric	ADJ
ejpam-5785	15	20	spaces	space	NOUN
ejpam-5785	15	21	.	.	PUNCT
ejpam-5785	16	1	in	in	ADP
ejpam-5785	16	2	the	the	DET
ejpam-5785	16	3	work	work	NOUN
ejpam-5785	16	4	referenced	reference	VERB
ejpam-5785	16	5	as	as	ADP
ejpam-5785	16	6	[	[	X
ejpam-5785	16	7	31	31	NUM
ejpam-5785	16	8	]	]	PUNCT
ejpam-5785	16	9	,	,	PUNCT
ejpam-5785	16	10	the	the	DET
ejpam-5785	16	11	authors	author	NOUN
ejpam-5785	16	12	defined	define	VERB
ejpam-5785	16	13	fuzzy	fuzzy	ADJ
ejpam-5785	16	14	normed	normed	ADJ
ejpam-5785	16	15	spaces	space	NOUN
ejpam-5785	16	16	and	and	CCONJ
ejpam-5785	16	17	presented	present	VERB
ejpam-5785	16	18	the	the	DET
ejpam-5785	16	19	concepts	concept	NOUN
ejpam-5785	16	20	of	of	ADP
ejpam-5785	16	21	the	the	DET
ejpam-5785	16	22	best	good	ADJ
ejpam-5785	16	23	proximity	proximity	NOUN
ejpam-5785	16	24	point	point	NOUN
ejpam-5785	16	25	and	and	CCONJ
ejpam-5785	16	26	α̃−proximal	α̃−proximal	ADJ
ejpam-5785	16	27	admissibility	admissibility	NOUN
ejpam-5785	16	28	within	within	ADP
ejpam-5785	16	29	this	this	DET
ejpam-5785	16	30	framework	framework	NOUN
ejpam-5785	16	31	.	.	PUNCT
ejpam-5785	17	1	additionally	additionally	ADV
ejpam-5785	17	2	,	,	PUNCT
ejpam-5785	17	3	they	they	PRON
ejpam-5785	17	4	introduced	introduce	VERB
ejpam-5785	17	5	the	the	DET
ejpam-5785	17	6	concept	concept	NOUN
ejpam-5785	17	7	of	of	ADP
ejpam-5785	17	8	α̃	α̃	PROPN
ejpam-5785	17	9	,	,	PUNCT
ejpam-5785	17	10	ψ̃-proximal	ψ̃-proximal	ADJ
ejpam-5785	17	11	contractive	contractive	ADJ
ejpam-5785	17	12	mappings	mapping	NOUN
ejpam-5785	17	13	.	.	PUNCT
ejpam-5785	18	1	a	a	DET
ejpam-5785	18	2	theorem	theorem	NOUN
ejpam-5785	18	3	regarding	regard	VERB
ejpam-5785	18	4	the	the	DET
ejpam-5785	18	5	best	good	ADJ
ejpam-5785	18	6	proximity	proximity	NOUN
ejpam-5785	18	7	point	point	NOUN
ejpam-5785	18	8	for	for	ADP
ejpam-5785	18	9	these	these	DET
ejpam-5785	18	10	types	type	NOUN
ejpam-5785	18	11	of	of	ADP
ejpam-5785	18	12	mappings	mapping	NOUN
ejpam-5785	18	13	in	in	ADP
ejpam-5785	18	14	fuzzy	fuzzy	ADJ
ejpam-5785	18	15	normed	norme	VERB
ejpam-5785	18	16	spaces	space	NOUN
ejpam-5785	18	17	was	be	AUX
ejpam-5785	18	18	subsequently	subsequently	ADV
ejpam-5785	18	19	established	establish	VERB
ejpam-5785	18	20	.	.	PUNCT
ejpam-5785	19	1	in	in	ADP
ejpam-5785	19	2	reference	reference	NOUN
ejpam-5785	19	3	[	[	X
ejpam-5785	19	4	32	32	NUM
ejpam-5785	19	5	]	]	PUNCT
ejpam-5785	19	6	,	,	PUNCT
ejpam-5785	19	7	the	the	DET
ejpam-5785	19	8	authors	author	NOUN
ejpam-5785	19	9	established	establish	VERB
ejpam-5785	19	10	the	the	DET
ejpam-5785	19	11	existence	existence	NOUN
ejpam-5785	19	12	and	and	CCONJ
ejpam-5785	19	13	uniqueness	uniqueness	NOUN
ejpam-5785	19	14	of	of	ADP
ejpam-5785	19	15	the	the	DET
ejpam-5785	19	16	best	good	ADJ
ejpam-5785	19	17	proximity	proximity	NOUN
ejpam-5785	19	18	point	point	NOUN
ejpam-5785	19	19	for	for	ADP
ejpam-5785	19	20	nonself	nonself	NOUN
ejpam-5785	19	21	-	-	PUNCT
ejpam-5785	19	22	mappings	mapping	NOUN
ejpam-5785	19	23	within	within	ADP
ejpam-5785	19	24	a	a	DET
ejpam-5785	19	25	fuzzy	fuzzy	ADJ
ejpam-5785	19	26	normed	normed	ADJ
ejpam-5785	19	27	space	space	NOUN
ejpam-5785	19	28	.	.	PUNCT
ejpam-5785	20	1	the	the	DET
ejpam-5785	20	2	notion	notion	NOUN
ejpam-5785	20	3	of	of	ADP
ejpam-5785	20	4	fuzzy	fuzzy	ADJ
ejpam-5785	20	5	sets	set	NOUN
ejpam-5785	20	6	(	(	PUNCT
ejpam-5785	20	7	fss	fss	NOUN
ejpam-5785	20	8	)	)	PUNCT
ejpam-5785	20	9	,	,	PUNCT
ejpam-5785	20	10	first	first	ADV
ejpam-5785	20	11	introduced	introduce	VERB
ejpam-5785	20	12	by	by	ADP
ejpam-5785	20	13	zadeh	zadeh	PROPN
ejpam-5785	20	14	[	[	X
ejpam-5785	20	15	39	39	NUM
ejpam-5785	20	16	]	]	PUNCT
ejpam-5785	20	17	,	,	PUNCT
ejpam-5785	20	18	has	have	AUX
ejpam-5785	20	19	significantly	significantly	ADV
ejpam-5785	20	20	influenced	influence	VERB
ejpam-5785	20	21	a	a	DET
ejpam-5785	20	22	wide	wide	ADJ
ejpam-5785	20	23	array	array	NOUN
ejpam-5785	20	24	of	of	ADP
ejpam-5785	20	25	scientific	scientific	ADJ
ejpam-5785	20	26	fields	field	NOUN
ejpam-5785	20	27	since	since	SCONJ
ejpam-5785	20	28	its	its	PRON
ejpam-5785	20	29	emergence	emergence	NOUN
ejpam-5785	20	30	.	.	PUNCT
ejpam-5785	21	1	while	while	SCONJ
ejpam-5785	21	2	this	this	DET
ejpam-5785	21	3	framework	framework	NOUN
ejpam-5785	21	4	is	be	AUX
ejpam-5785	21	5	highly	highly	ADV
ejpam-5785	21	6	pertinent	pertinent	ADJ
ejpam-5785	21	7	to	to	ADP
ejpam-5785	21	8	practical	practical	ADJ
ejpam-5785	21	9	applications	application	NOUN
ejpam-5785	21	10	,	,	PUNCT
ejpam-5785	21	11	it	it	PRON
ejpam-5785	21	12	has	have	AUX
ejpam-5785	21	13	not	not	PART
ejpam-5785	21	14	consistently	consistently	ADV
ejpam-5785	21	15	offered	offer	VERB
ejpam-5785	21	16	satisfactory	satisfactory	ADJ
ejpam-5785	21	17	solutions	solution	NOUN
ejpam-5785	21	18	to	to	ADP
ejpam-5785	21	19	various	various	ADJ
ejpam-5785	21	20	problems	problem	NOUN
ejpam-5785	21	21	over	over	ADP
ejpam-5785	21	22	the	the	DET
ejpam-5785	21	23	years	year	NOUN
ejpam-5785	21	24	.	.	PUNCT
ejpam-5785	22	1	as	as	ADP
ejpam-5785	22	2	a	a	DET
ejpam-5785	22	3	result	result	NOUN
ejpam-5785	22	4	,	,	PUNCT
ejpam-5785	22	5	there	there	PRON
ejpam-5785	22	6	has	have	AUX
ejpam-5785	22	7	been	be	AUX
ejpam-5785	22	8	a	a	DET
ejpam-5785	22	9	renewed	renew	VERB
ejpam-5785	22	10	interest	interest	NOUN
ejpam-5785	22	11	in	in	ADP
ejpam-5785	22	12	research	research	NOUN
ejpam-5785	22	13	focused	focus	VERB
ejpam-5785	22	14	on	on	ADP
ejpam-5785	22	15	resolving	resolve	VERB
ejpam-5785	22	16	these	these	DET
ejpam-5785	22	17	challenges	challenge	NOUN
ejpam-5785	22	18	.	.	PUNCT
ejpam-5785	23	1	in	in	ADP
ejpam-5785	23	2	this	this	DET
ejpam-5785	23	3	context	context	NOUN
ejpam-5785	23	4	,	,	PUNCT
ejpam-5785	23	5	atanassov	atanassov	VERB
ejpam-5785	23	6	[	[	X
ejpam-5785	23	7	4	4	NUM
ejpam-5785	23	8	]	]	PUNCT
ejpam-5785	23	9	proposed	propose	VERB
ejpam-5785	23	10	intuitionistic	intuitionistic	ADJ
ejpam-5785	23	11	fuzzy	fuzzy	ADJ
ejpam-5785	23	12	sets	set	NOUN
ejpam-5785	23	13	(	(	PUNCT
ejpam-5785	23	14	ifss	ifss	NOUN
ejpam-5785	23	15	)	)	PUNCT
ejpam-5785	23	16	as	as	ADP
ejpam-5785	23	17	a	a	DET
ejpam-5785	23	18	strategy	strategy	NOUN
ejpam-5785	23	19	to	to	PART
ejpam-5785	23	20	tackle	tackle	VERB
ejpam-5785	23	21	such	such	ADJ
ejpam-5785	23	22	issues	issue	NOUN
ejpam-5785	23	23	.	.	PUNCT
ejpam-5785	24	1	furthermore	furthermore	ADV
ejpam-5785	24	2	,	,	PUNCT
ejpam-5785	24	3	the	the	DET
ejpam-5785	24	4	neutrosophic	neutrosophic	ADJ
ejpam-5785	24	5	set	set	NOUN
ejpam-5785	24	6	(	(	PUNCT
ejpam-5785	24	7	ns	ns	NUM
ejpam-5785	24	8	)	)	PUNCT
ejpam-5785	24	9	,	,	PUNCT
ejpam-5785	24	10	created	create	VERB
ejpam-5785	24	11	by	by	ADP
ejpam-5785	24	12	smarandache	smarandache	NOUN
ejpam-5785	25	1	[	[	X
ejpam-5785	25	2	37	37	NUM
ejpam-5785	25	3	]	]	PUNCT
ejpam-5785	25	4	,	,	PUNCT
ejpam-5785	25	5	serves	serve	VERB
ejpam-5785	25	6	as	as	ADP
ejpam-5785	25	7	a	a	DET
ejpam-5785	25	8	sophisticated	sophisticated	ADJ
ejpam-5785	25	9	extension	extension	NOUN
ejpam-5785	25	10	of	of	ADP
ejpam-5785	25	11	traditional	traditional	ADJ
ejpam-5785	25	12	set	set	NOUN
ejpam-5785	25	13	theory	theory	NOUN
ejpam-5785	25	14	.	.	PUNCT
ejpam-5785	26	1	other	other	ADJ
ejpam-5785	26	2	important	important	ADJ
ejpam-5785	26	3	generalizations	generalization	NOUN
ejpam-5785	26	4	include	include	VERB
ejpam-5785	26	5	interval	interval	NOUN
ejpam-5785	26	6	-	-	PUNCT
ejpam-5785	26	7	valued	value	VERB
ejpam-5785	26	8	fs	fs	ADP
ejpam-5785	27	1	[	[	X
ejpam-5785	27	2	38	38	NUM
ejpam-5785	27	3	]	]	PUNCT
ejpam-5785	27	4	,	,	PUNCT
ejpam-5785	27	5	interval	interval	NOUN
ejpam-5785	27	6	-	-	PUNCT
ejpam-5785	27	7	valued	value	VERB
ejpam-5785	27	8	ifs	if	NOUN
ejpam-5785	28	1	[	[	X
ejpam-5785	28	2	5	5	NUM
ejpam-5785	28	3	]	]	PUNCT
ejpam-5785	28	4	.	.	PUNCT
ejpam-5785	29	1	neutrosophic	neutrosophic	ADJ
ejpam-5785	29	2	sets	set	NOUN
ejpam-5785	29	3	exhibit	exhibit	VERB
ejpam-5785	29	4	a	a	DET
ejpam-5785	29	5	diverse	diverse	ADJ
ejpam-5785	29	6	range	range	NOUN
ejpam-5785	29	7	of	of	ADP
ejpam-5785	29	8	applications	application	NOUN
ejpam-5785	29	9	across	across	ADP
ejpam-5785	29	10	multiple	multiple	ADJ
ejpam-5785	29	11	fields	field	NOUN
ejpam-5785	29	12	.	.	PUNCT
ejpam-5785	30	1	for	for	ADP
ejpam-5785	30	2	instance	instance	NOUN
ejpam-5785	30	3	,	,	PUNCT
ejpam-5785	30	4	barbosa	barbosa	PROPN
ejpam-5785	30	5	and	and	CCONJ
ejpam-5785	30	6	smarandache	smarandache	NOUN
ejpam-5785	31	1	[	[	X
ejpam-5785	31	2	7	7	X
ejpam-5785	31	3	]	]	PUNCT
ejpam-5785	31	4	proposed	propose	VERB
ejpam-5785	31	5	the	the	DET
ejpam-5785	31	6	neutrosophic	neutrosophic	ADJ
ejpam-5785	31	7	one	one	NUM
ejpam-5785	31	8	-	-	PUNCT
ejpam-5785	31	9	round	round	NOUN
ejpam-5785	31	10	zeroknowledge	zeroknowledge	NOUN
ejpam-5785	31	11	proof	proof	NOUN
ejpam-5785	31	12	protocol	protocol	NOUN
ejpam-5785	31	13	(	(	PUNCT
ejpam-5785	31	14	n-1	n-1	NOUN
ejpam-5785	31	15	-	-	PUNCT
ejpam-5785	31	16	r	r	NOUN
ejpam-5785	31	17	)	)	PUNCT
ejpam-5785	31	18	zkp	zkp	NOUN
ejpam-5785	31	19	,	,	PUNCT
ejpam-5785	31	20	which	which	PRON
ejpam-5785	31	21	enhances	enhance	VERB
ejpam-5785	31	22	the	the	DET
ejpam-5785	31	23	one	one	NUM
ejpam-5785	31	24	-	-	PUNCT
ejpam-5785	31	25	round	round	NOUN
ejpam-5785	31	26	(	(	PUNCT
ejpam-5785	31	27	1	1	NUM
ejpam-5785	31	28	-	-	PUNCT
ejpam-5785	31	29	r	r	NOUN
ejpam-5785	31	30	)	)	PUNCT
ejpam-5785	31	31	zkp	zkp	NOUN
ejpam-5785	31	32	framework	framework	NOUN
ejpam-5785	31	33	by	by	ADP
ejpam-5785	31	34	incorporating	incorporate	VERB
ejpam-5785	31	35	neutrosophic	neutrosophic	ADJ
ejpam-5785	31	36	numbers	number	NOUN
ejpam-5785	31	37	.	.	PUNCT
ejpam-5785	32	1	furthermore	furthermore	ADV
ejpam-5785	32	2	,	,	PUNCT
ejpam-5785	32	3	the	the	DET
ejpam-5785	32	4	authors	author	NOUN
ejpam-5785	32	5	in	in	ADP
ejpam-5785	32	6	[	[	X
ejpam-5785	32	7	1	1	NUM
ejpam-5785	32	8	]	]	PUNCT
ejpam-5785	32	9	provide	provide	VERB
ejpam-5785	32	10	an	an	DET
ejpam-5785	32	11	in	in	ADP
ejpam-5785	32	12	-	-	PUNCT
ejpam-5785	32	13	depth	depth	NOUN
ejpam-5785	32	14	examination	examination	NOUN
ejpam-5785	32	15	of	of	ADP
ejpam-5785	32	16	effective	effective	ADJ
ejpam-5785	32	17	and	and	CCONJ
ejpam-5785	32	18	optimally	optimally	ADV
ejpam-5785	32	19	appropriate	appropriate	ADJ
ejpam-5785	32	20	solutions	solution	NOUN
ejpam-5785	32	21	related	relate	VERB
ejpam-5785	32	22	to	to	ADP
ejpam-5785	32	23	scalar	scalar	ADJ
ejpam-5785	32	24	optimization	optimization	NOUN
ejpam-5785	32	25	problems	problem	NOUN
ejpam-5785	32	26	.	.	PUNCT
ejpam-5785	33	1	they	they	PRON
ejpam-5785	33	2	also	also	ADV
ejpam-5785	33	3	derive	derive	VERB
ejpam-5785	33	4	the	the	DET
ejpam-5785	33	5	kuhn	kuhn	PROPN
ejpam-5785	33	6	-	-	PUNCT
ejpam-5785	33	7	tucker	tucker	PROPN
ejpam-5785	33	8	conditions	condition	NOUN
ejpam-5785	33	9	relevant	relevant	ADJ
ejpam-5785	33	10	to	to	ADP
ejpam-5785	33	11	both	both	PRON
ejpam-5785	33	12	efficiency	efficiency	NOUN
ejpam-5785	33	13	and	and	CCONJ
ejpam-5785	33	14	optimal	optimal	ADJ
ejpam-5785	33	15	efficiency	efficiency	NOUN
ejpam-5785	33	16	.	.	PUNCT
ejpam-5785	34	1	to	to	PART
ejpam-5785	34	2	gain	gain	VERB
ejpam-5785	34	3	a	a	DET
ejpam-5785	34	4	more	more	ADV
ejpam-5785	34	5	comprehensive	comprehensive	ADJ
ejpam-5785	34	6	insight	insight	NOUN
ejpam-5785	34	7	into	into	ADP
ejpam-5785	34	8	the	the	DET
ejpam-5785	34	9	applications	application	NOUN
ejpam-5785	34	10	of	of	ADP
ejpam-5785	34	11	neutrosophic	neutrosophic	ADJ
ejpam-5785	34	12	sets	set	NOUN
ejpam-5785	34	13	and	and	CCONJ
ejpam-5785	34	14	their	their	PRON
ejpam-5785	34	15	extensive	extensive	ADJ
ejpam-5785	34	16	uses	use	NOUN
ejpam-5785	34	17	,	,	PUNCT
ejpam-5785	34	18	it	it	PRON
ejpam-5785	34	19	is	be	AUX
ejpam-5785	34	20	recommended	recommend	VERB
ejpam-5785	34	21	to	to	PART
ejpam-5785	34	22	consult	consult	VERB
ejpam-5785	34	23	the	the	DET
ejpam-5785	34	24	literature	literature	NOUN
ejpam-5785	34	25	referenced	reference	VERB
ejpam-5785	34	26	in	in	ADP
ejpam-5785	34	27	[	[	X
ejpam-5785	34	28	3	3	NUM
ejpam-5785	34	29	,	,	PUNCT
ejpam-5785	34	30	11	11	NUM
ejpam-5785	34	31	,	,	PUNCT
ejpam-5785	34	32	14	14	NUM
ejpam-5785	34	33	,	,	PUNCT
ejpam-5785	34	34	16–20	16–20	NUM
ejpam-5785	34	35	]	]	PUNCT
ejpam-5785	34	36	and	and	CCONJ
ejpam-5785	34	37	associated	associated	ADJ
ejpam-5785	34	38	sources	source	NOUN
ejpam-5785	34	39	.	.	PUNCT
ejpam-5785	35	1	2	2	X
ejpam-5785	35	2	.	.	X
ejpam-5785	35	3	preliminary	preliminary	ADJ
ejpam-5785	35	4	in	in	ADP
ejpam-5785	35	5	this	this	DET
ejpam-5785	35	6	framework	framework	NOUN
ejpam-5785	35	7	,	,	PUNCT
ejpam-5785	35	8	the	the	DET
ejpam-5785	35	9	interval	interval	NOUN
ejpam-5785	35	10	]	]	X
ejpam-5785	35	11	0−	0−	NUM
ejpam-5785	35	12	,	,	PUNCT
ejpam-5785	35	13	1	1	NUM
ejpam-5785	35	14	+	+	NOUN
ejpam-5785	35	15	[	[	PUNCT
ejpam-5785	35	16	is	be	AUX
ejpam-5785	35	17	characterized	characterize	VERB
ejpam-5785	35	18	as	as	ADP
ejpam-5785	35	19	a	a	DET
ejpam-5785	35	20	non	non	ADJ
ejpam-5785	35	21	-	-	ADJ
ejpam-5785	35	22	standard	standard	ADJ
ejpam-5785	35	23	unit	unit	NOUN
ejpam-5785	35	24	interval	interval	NOUN
ejpam-5785	35	25	.	.	PUNCT
ejpam-5785	36	1	within	within	ADP
ejpam-5785	36	2	this	this	DET
ejpam-5785	36	3	context	context	NOUN
ejpam-5785	36	4	,	,	PUNCT
ejpam-5785	36	5	non	non	ADJ
ejpam-5785	36	6	-	-	ADJ
ejpam-5785	36	7	standard	standard	ADJ
ejpam-5785	36	8	finite	finite	ADJ
ejpam-5785	36	9	numbers	number	NOUN
ejpam-5785	36	10	are	be	AUX
ejpam-5785	36	11	articulated	articulate	VERB
ejpam-5785	36	12	as	as	ADP
ejpam-5785	36	13	(	(	PUNCT
ejpam-5785	36	14	1	1	NUM
ejpam-5785	36	15	+	+	NOUN
ejpam-5785	36	16	)	)	PUNCT
ejpam-5785	36	17	=	=	SYM
ejpam-5785	37	1	1	1	NUM
ejpam-5785	37	2	+	+	CCONJ
ejpam-5785	37	3	ϵ	ϵ	X
ejpam-5785	37	4	,	,	PUNCT
ejpam-5785	37	5	where	where	SCONJ
ejpam-5785	37	6	”	"	PUNCT
ejpam-5785	37	7	1	1	NUM
ejpam-5785	37	8	”	"	PUNCT
ejpam-5785	37	9	represents	represent	VERB
ejpam-5785	37	10	the	the	DET
ejpam-5785	37	11	standard	standard	ADJ
ejpam-5785	37	12	component	component	NOUN
ejpam-5785	37	13	and	and	CCONJ
ejpam-5785	37	14	ϵ	ϵ	NOUN
ejpam-5785	37	15	denotes	denote	VERB
ejpam-5785	37	16	the	the	DET
ejpam-5785	37	17	non	non	ADJ
ejpam-5785	37	18	-	-	ADJ
ejpam-5785	37	19	standard	standard	ADJ
ejpam-5785	37	20	element	element	NOUN
ejpam-5785	37	21	.	.	PUNCT
ejpam-5785	38	1	in	in	ADP
ejpam-5785	38	2	a	a	DET
ejpam-5785	38	3	similar	similar	ADJ
ejpam-5785	38	4	manner	manner	NOUN
ejpam-5785	38	5	,	,	PUNCT
ejpam-5785	38	6	(	(	PUNCT
ejpam-5785	38	7	0−	0−	NUM
ejpam-5785	38	8	)	)	PUNCT
ejpam-5785	38	9	=	=	PUNCT
ejpam-5785	39	1	0−	0−	NUM
ejpam-5785	39	2	ϵ	ϵ	X
ejpam-5785	39	3	,	,	PUNCT
ejpam-5785	39	4	with	with	ADP
ejpam-5785	39	5	”	"	PUNCT
ejpam-5785	39	6	0	0	NUM
ejpam-5785	39	7	”	"	PUNCT
ejpam-5785	39	8	indicating	indicate	VERB
ejpam-5785	39	9	the	the	DET
ejpam-5785	39	10	standard	standard	ADJ
ejpam-5785	39	11	component	component	NOUN
ejpam-5785	39	12	and	and	CCONJ
ejpam-5785	39	13	’	'	PUNCT
ejpam-5785	39	14	ϵ	ϵ	NOUN
ejpam-5785	39	15	”	"	PUNCT
ejpam-5785	39	16	as	as	ADP
ejpam-5785	39	17	the	the	DET
ejpam-5785	39	18	non	non	ADJ
ejpam-5785	39	19	-	-	ADJ
ejpam-5785	39	20	standard	standard	ADJ
ejpam-5785	39	21	element	element	NOUN
ejpam-5785	39	22	.	.	PUNCT
ejpam-5785	40	1	the	the	DET
ejpam-5785	40	2	numbers	number	NOUN
ejpam-5785	40	3	0	0	PUNCT
ejpam-5785	40	4	and	and	CCONJ
ejpam-5785	40	5	1	1	NUM
ejpam-5785	40	6	can	can	AUX
ejpam-5785	40	7	be	be	AUX
ejpam-5785	40	8	interpreted	interpret	VERB
ejpam-5785	40	9	as	as	ADP
ejpam-5785	40	10	non	non	ADJ
ejpam-5785	40	11	-	-	ADJ
ejpam-5785	40	12	standard	standard	ADJ
ejpam-5785	40	13	values	value	NOUN
ejpam-5785	40	14	that	that	PRON
ejpam-5785	40	15	are	be	AUX
ejpam-5785	40	16	infinitesimally	infinitesimally	ADV
ejpam-5785	40	17	small	small	ADJ
ejpam-5785	40	18	yet	yet	ADV
ejpam-5785	40	19	less	less	ADJ
ejpam-5785	40	20	than	than	ADP
ejpam-5785	40	21	0	0	NUM
ejpam-5785	40	22	or	or	CCONJ
ejpam-5785	40	23	infinitesimally	infinitesimally	ADV
ejpam-5785	40	24	small	small	ADJ
ejpam-5785	40	25	yet	yet	ADV
ejpam-5785	40	26	greater	great	ADJ
ejpam-5785	40	27	than	than	ADP
ejpam-5785	40	28	1	1	NUM
ejpam-5785	40	29	,	,	PUNCT
ejpam-5785	40	30	respectively	respectively	ADV
ejpam-5785	40	31	,	,	PUNCT
ejpam-5785	40	32	and	and	CCONJ
ejpam-5785	40	33	these	these	DET
ejpam-5785	40	34	values	value	NOUN
ejpam-5785	40	35	are	be	AUX
ejpam-5785	40	36	encompassed	encompass	VERB
ejpam-5785	40	37	within	within	ADP
ejpam-5785	40	38	the	the	DET
ejpam-5785	40	39	non	non	ADJ
ejpam-5785	40	40	-	-	ADJ
ejpam-5785	40	41	standard	standard	ADJ
ejpam-5785	40	42	unit	unit	NOUN
ejpam-5785	40	43	interval	interval	NOUN
ejpam-5785	40	44	]	]	X
ejpam-5785	40	45	0−	0−	NUM
ejpam-5785	40	46	,	,	PUNCT
ejpam-5785	40	47	1	1	NUM
ejpam-5785	41	1	+	+	CCONJ
ejpam-5785	41	2	[	[	X
ejpam-5785	41	3	.	.	X
ejpam-5785	41	4	definition	definition	NOUN
ejpam-5785	41	5	1	1	NUM
ejpam-5785	41	6	.	.	PUNCT
ejpam-5785	42	1	[	[	X
ejpam-5785	42	2	39	39	NUM
ejpam-5785	42	3	]	]	PUNCT
ejpam-5785	42	4	in	in	ADP
ejpam-5785	42	5	relation	relation	NOUN
ejpam-5785	42	6	to	to	ADP
ejpam-5785	42	7	a	a	DET
ejpam-5785	42	8	universal	universal	ADJ
ejpam-5785	42	9	set	set	VERB
ejpam-5785	42	10	u	u	NOUN
ejpam-5785	42	11	,	,	PUNCT
ejpam-5785	42	12	a	a	DET
ejpam-5785	42	13	fuzzy	fuzzy	ADJ
ejpam-5785	42	14	set	set	NOUN
ejpam-5785	42	15	x	x	PUNCT
ejpam-5785	42	16	is	be	AUX
ejpam-5785	42	17	defined	define	VERB
ejpam-5785	42	18	by	by	ADP
ejpam-5785	42	19	the	the	DET
ejpam-5785	42	20	notation	notation	NOUN
ejpam-5785	42	21	x	x	PUNCT
ejpam-5785	42	22	=	=	PRON
ejpam-5785	42	23	{	{	PUNCT
ejpam-5785	42	24	<	<	X
ejpam-5785	42	25	ξ	ξ	PROPN
ejpam-5785	42	26	,	,	PUNCT
ejpam-5785	42	27	µx	µx	INTJ
ejpam-5785	42	28	(	(	PUNCT
ejpam-5785	42	29	ξ	ξ	NOUN
ejpam-5785	42	30	)	)	PUNCT
ejpam-5785	42	31	>	>	PUNCT
ejpam-5785	42	32	:	:	PUNCT
ejpam-5785	42	33	0	0	X
ejpam-5785	42	34	≤	≤	NUM
ejpam-5785	42	35	µx	µx	VERB
ejpam-5785	42	36	(	(	PUNCT
ejpam-5785	42	37	ξ	ξ	NOUN
ejpam-5785	42	38	)	)	PUNCT
ejpam-5785	42	39	≤	≤	NUM
ejpam-5785	42	40	1	1	NUM
ejpam-5785	42	41	,	,	PUNCT
ejpam-5785	42	42	ξ	ξ	PROPN
ejpam-5785	42	43	∈	∈	PROPN
ejpam-5785	42	44	u	u	NOUN
ejpam-5785	42	45	}	}	PUNCT
ejpam-5785	42	46	.	.	PUNCT
ejpam-5785	43	1	in	in	ADP
ejpam-5785	43	2	this	this	DET
ejpam-5785	43	3	context	context	NOUN
ejpam-5785	43	4	,	,	PUNCT
ejpam-5785	43	5	µx	µx	VERB
ejpam-5785	43	6	:	:	PUNCT
ejpam-5785	43	7	x	x	X
ejpam-5785	43	8	→	→	SYM
ejpam-5785	44	1	[	[	X
ejpam-5785	44	2	0	0	NUM
ejpam-5785	44	3	,	,	PUNCT
ejpam-5785	44	4	1	1	NUM
ejpam-5785	44	5	]	]	PUNCT
ejpam-5785	44	6	,	,	PUNCT
ejpam-5785	44	7	and	and	CCONJ
ejpam-5785	44	8	µx	µx	ADJ
ejpam-5785	44	9	(	(	PUNCT
ejpam-5785	44	10	ξ	ξ	NOUN
ejpam-5785	44	11	)	)	PUNCT
ejpam-5785	44	12	represents	represent	VERB
ejpam-5785	44	13	the	the	DET
ejpam-5785	44	14	degree	degree	NOUN
ejpam-5785	44	15	of	of	ADP
ejpam-5785	44	16	membership	membership	NOUN
ejpam-5785	44	17	of	of	ADP
ejpam-5785	44	18	the	the	DET
ejpam-5785	44	19	element	element	NOUN
ejpam-5785	44	20	ξ	ξ	PROPN
ejpam-5785	44	21	within	within	ADP
ejpam-5785	44	22	the	the	DET
ejpam-5785	44	23	fuzzy	fuzzy	ADJ
ejpam-5785	44	24	set	set	NOUN
ejpam-5785	44	25	x	x	X
ejpam-5785	44	26	.	.	PUNCT
ejpam-5785	45	1	definition	definition	NOUN
ejpam-5785	45	2	2	2	NUM
ejpam-5785	45	3	.	.	PUNCT
ejpam-5785	46	1	[	[	X
ejpam-5785	46	2	37	37	NUM
ejpam-5785	46	3	]	]	PUNCT
ejpam-5785	46	4	a	a	DET
ejpam-5785	46	5	neutrosophic	neutrosophic	ADJ
ejpam-5785	46	6	set	set	VERB
ejpam-5785	46	7	v	v	ADP
ejpam-5785	46	8	relative	relative	ADJ
ejpam-5785	46	9	to	to	ADP
ejpam-5785	46	10	a	a	DET
ejpam-5785	46	11	universal	universal	ADJ
ejpam-5785	46	12	set	set	NOUN
ejpam-5785	46	13	u	u	NOUN
ejpam-5785	46	14	is	be	AUX
ejpam-5785	46	15	defined	define	VERB
ejpam-5785	46	16	as	as	ADP
ejpam-5785	46	17	v	v	NOUN
ejpam-5785	46	18	=	=	SYM
ejpam-5785	46	19	{	{	PUNCT
ejpam-5785	46	20	<	<	X
ejpam-5785	46	21	ξ	ξ	PROPN
ejpam-5785	46	22	,	,	PUNCT
ejpam-5785	46	23	(	(	PUNCT
ejpam-5785	46	24	tn	tn	PROPN
ejpam-5785	46	25	(	(	PUNCT
ejpam-5785	46	26	ξ	ξ	NOUN
ejpam-5785	46	27	)	)	PUNCT
ejpam-5785	46	28	,	,	PUNCT
ejpam-5785	46	29	in	in	ADP
ejpam-5785	46	30	(	(	PUNCT
ejpam-5785	46	31	ξ	ξ	NOUN
ejpam-5785	46	32	)	)	PUNCT
ejpam-5785	46	33	,	,	PUNCT
ejpam-5785	46	34	fn	fn	X
ejpam-5785	46	35	(	(	PUNCT
ejpam-5785	46	36	ξ	ξ	NOUN
ejpam-5785	46	37	)	)	PUNCT
ejpam-5785	46	38	)	)	PUNCT
ejpam-5785	47	1	>	>	PUNCT
ejpam-5785	47	2	:	:	PUNCT
ejpam-5785	47	3	ξ	ξ	X
ejpam-5785	47	4	∈	∈	PROPN
ejpam-5785	47	5	u	u	PROPN
ejpam-5785	47	6	,	,	PUNCT
ejpam-5785	47	7	tn	tn	PROPN
ejpam-5785	47	8	(	(	PUNCT
ejpam-5785	47	9	ξ	ξ	NOUN
ejpam-5785	47	10	)	)	PUNCT
ejpam-5785	47	11	,	,	PUNCT
ejpam-5785	47	12	in	in	ADP
ejpam-5785	47	13	(	(	PUNCT
ejpam-5785	47	14	ξ	ξ	NOUN
ejpam-5785	47	15	)	)	PUNCT
ejpam-5785	47	16	,	,	PUNCT
ejpam-5785	47	17	fn	fn	X
ejpam-5785	47	18	(	(	PUNCT
ejpam-5785	47	19	ξ	ξ	NOUN
ejpam-5785	47	20	)	)	PUNCT
ejpam-5785	47	21	∈	∈	NOUN
ejpam-5785	47	22	]	]	PUNCT
ejpam-5785	47	23	0−	0−	NUM
ejpam-5785	47	24	,	,	PUNCT
ejpam-5785	47	25	1	1	NUM
ejpam-5785	47	26	+	+	CCONJ
ejpam-5785	47	27	[	[	PUNCT
ejpam-5785	47	28	}	}	PUNCT
ejpam-5785	47	29	.	.	PUNCT
ejpam-5785	48	1	in	in	ADP
ejpam-5785	48	2	this	this	DET
ejpam-5785	48	3	context	context	NOUN
ejpam-5785	48	4	,	,	PUNCT
ejpam-5785	48	5	tn	tn	PROPN
ejpam-5785	48	6	(	(	PUNCT
ejpam-5785	48	7	ξ	ξ	NOUN
ejpam-5785	48	8	)	)	PUNCT
ejpam-5785	48	9	,	,	PUNCT
ejpam-5785	48	10	in	in	ADP
ejpam-5785	48	11	(	(	PUNCT
ejpam-5785	48	12	ξ	ξ	NOUN
ejpam-5785	48	13	)	)	PUNCT
ejpam-5785	48	14	,	,	PUNCT
ejpam-5785	48	15	and	and	CCONJ
ejpam-5785	48	16	fn	fn	ADJ
ejpam-5785	48	17	(	(	PUNCT
ejpam-5785	48	18	ξ	ξ	NOUN
ejpam-5785	48	19	)	)	PUNCT
ejpam-5785	48	20	represent	represent	VERB
ejpam-5785	48	21	the	the	DET
ejpam-5785	48	22	membership	membership	NOUN
ejpam-5785	48	23	degrees	degree	NOUN
ejpam-5785	48	24	of	of	ADP
ejpam-5785	48	25	truth	truth	NOUN
ejpam-5785	48	26	,	,	PUNCT
ejpam-5785	48	27	indeterminacy	indeterminacy	NOUN
ejpam-5785	48	28	,	,	PUNCT
ejpam-5785	48	29	and	and	CCONJ
ejpam-5785	48	30	a.	a.	PROPN
ejpam-5785	48	31	bataihah	bataihah	PROPN
ejpam-5785	48	32	,	,	PUNCT
ejpam-5785	48	33	a.	a.	NOUN
ejpam-5785	48	34	hazaymeh	hazaymeh	NOUN
ejpam-5785	48	35	/	/	SYM
ejpam-5785	48	36	eur	eur	PROPN
ejpam-5785	48	37	.	.	PUNCT
ejpam-5785	49	1	j.	j.	PROPN
ejpam-5785	49	2	pure	pure	PROPN
ejpam-5785	49	3	appl	appl	PROPN
ejpam-5785	49	4	.	.	PROPN
ejpam-5785	49	5	math	math	PROPN
ejpam-5785	49	6	,	,	PUNCT
ejpam-5785	49	7	18	18	NUM
ejpam-5785	49	8	(	(	PUNCT
ejpam-5785	49	9	1	1	NUM
ejpam-5785	49	10	)	)	PUNCT
ejpam-5785	49	11	(	(	PUNCT
ejpam-5785	49	12	2025	2025	NUM
ejpam-5785	49	13	)	)	PUNCT
ejpam-5785	49	14	,	,	PUNCT
ejpam-5785	49	15	5785	5785	NUM
ejpam-5785	49	16	3	3	NUM
ejpam-5785	49	17	of	of	ADP
ejpam-5785	49	18	15	15	NUM
ejpam-5785	49	19	falsity	falsity	NOUN
ejpam-5785	49	20	for	for	ADP
ejpam-5785	49	21	an	an	DET
ejpam-5785	49	22	element	element	NOUN
ejpam-5785	49	23	ξ	ξ	PROPN
ejpam-5785	49	24	within	within	ADP
ejpam-5785	49	25	the	the	DET
ejpam-5785	49	26	set	set	NOUN
ejpam-5785	49	27	v	v	NOUN
ejpam-5785	49	28	,	,	PUNCT
ejpam-5785	49	29	respectively	respectively	ADV
ejpam-5785	49	30	,	,	PUNCT
ejpam-5785	49	31	while	while	SCONJ
ejpam-5785	49	32	]	]	SYM
ejpam-5785	49	33	0−	0−	NUM
ejpam-5785	49	34	,	,	PUNCT
ejpam-5785	49	35	1	1	NUM
ejpam-5785	49	36	+	+	CCONJ
ejpam-5785	49	37	[	[	PUNCT
ejpam-5785	49	38	signifies	signify	VERB
ejpam-5785	49	39	a	a	DET
ejpam-5785	49	40	nonstandard	nonstandard	ADJ
ejpam-5785	49	41	unit	unit	NOUN
ejpam-5785	49	42	interval	interval	NOUN
ejpam-5785	49	43	.	.	PUNCT
ejpam-5785	50	1	definition	definition	NOUN
ejpam-5785	50	2	3	3	NUM
ejpam-5785	50	3	.	.	PUNCT
ejpam-5785	51	1	[	[	X
ejpam-5785	51	2	13	13	NUM
ejpam-5785	51	3	]	]	PUNCT
ejpam-5785	51	4	a	a	DET
ejpam-5785	51	5	neutrosophic	neutrosophic	ADJ
ejpam-5785	51	6	fuzzy	fuzzy	ADJ
ejpam-5785	51	7	set	set	NOUN
ejpam-5785	51	8	d	d	NOUN
ejpam-5785	51	9	within	within	ADP
ejpam-5785	51	10	a	a	DET
ejpam-5785	51	11	universal	universal	ADJ
ejpam-5785	51	12	set	set	NOUN
ejpam-5785	51	13	u	u	NOUN
ejpam-5785	51	14	is	be	AUX
ejpam-5785	51	15	characterized	characterize	VERB
ejpam-5785	51	16	as	as	SCONJ
ejpam-5785	51	17	follows	follow	VERB
ejpam-5785	51	18	:	:	PUNCT
ejpam-5785	51	19	d	d	X
ejpam-5785	51	20	=	=	PRON
ejpam-5785	51	21	{	{	PUNCT
ejpam-5785	51	22	<	<	X
ejpam-5785	51	23	x	x	X
ejpam-5785	51	24	,	,	PUNCT
ejpam-5785	51	25	(	(	PUNCT
ejpam-5785	51	26	µd(ξ	µd(ξ	NUM
ejpam-5785	51	27	)	)	PUNCT
ejpam-5785	51	28	,	,	PUNCT
ejpam-5785	51	29	td(ξ	td(ξ	NUM
ejpam-5785	51	30	,	,	PUNCT
ejpam-5785	51	31	µ	µ	NOUN
ejpam-5785	51	32	)	)	PUNCT
ejpam-5785	51	33	,	,	PUNCT
ejpam-5785	51	34	id(ξ	id(ξ	NOUN
ejpam-5785	51	35	,	,	PUNCT
ejpam-5785	51	36	µ	µ	NOUN
ejpam-5785	51	37	)	)	PUNCT
ejpam-5785	51	38	,	,	PUNCT
ejpam-5785	51	39	f	f	PROPN
ejpam-5785	51	40	(	(	PUNCT
ejpam-5785	51	41	ξ	ξ	PROPN
ejpam-5785	51	42	,	,	PUNCT
ejpam-5785	51	43	µ	µ	NOUN
ejpam-5785	51	44	)	)	PUNCT
ejpam-5785	51	45	)	)	PUNCT
ejpam-5785	52	1	>	>	PUNCT
ejpam-5785	52	2	:	:	PUNCT
ejpam-5785	52	3	ξ	ξ	X
ejpam-5785	52	4	∈	∈	PROPN
ejpam-5785	52	5	u	u	NOUN
ejpam-5785	52	6	,	,	PUNCT
ejpam-5785	52	7	µd(ξ	µd(ξ	PUNCT
ejpam-5785	52	8	)	)	PUNCT
ejpam-5785	52	9	∈	∈	PROPN
ejpam-5785	53	1	[	[	X
ejpam-5785	53	2	0	0	NUM
ejpam-5785	53	3	,	,	PUNCT
ejpam-5785	53	4	1	1	NUM
ejpam-5785	53	5	]	]	PUNCT
ejpam-5785	53	6	,	,	PUNCT
ejpam-5785	53	7	td(ξ	td(ξ	NUM
ejpam-5785	53	8	,	,	PUNCT
ejpam-5785	53	9	µ	µ	NOUN
ejpam-5785	53	10	)	)	PUNCT
ejpam-5785	53	11	,	,	PUNCT
ejpam-5785	53	12	id(ξ	id(ξ	NOUN
ejpam-5785	53	13	,	,	PUNCT
ejpam-5785	53	14	µ	µ	NOUN
ejpam-5785	53	15	)	)	PUNCT
ejpam-5785	53	16	,	,	PUNCT
ejpam-5785	53	17	f	f	PROPN
ejpam-5785	53	18	(	(	PUNCT
ejpam-5785	53	19	ξ	ξ	PROPN
ejpam-5785	53	20	,	,	PUNCT
ejpam-5785	53	21	µ	µ	NOUN
ejpam-5785	53	22	)	)	PUNCT
ejpam-5785	53	23	∈]0−	∈]0−	NOUN
ejpam-5785	53	24	,	,	PUNCT
ejpam-5785	53	25	1	1	NUM
ejpam-5785	54	1	+	+	CCONJ
ejpam-5785	54	2	[	[	PUNCT
ejpam-5785	54	3	}	}	PUNCT
ejpam-5785	54	4	.	.	PUNCT
ejpam-5785	55	1	in	in	ADP
ejpam-5785	55	2	this	this	DET
ejpam-5785	55	3	framework	framework	NOUN
ejpam-5785	55	4	,	,	PUNCT
ejpam-5785	55	5	the	the	DET
ejpam-5785	55	6	membership	membership	NOUN
ejpam-5785	55	7	degree	degree	NOUN
ejpam-5785	55	8	µd(ξ	µd(ξ	PUNCT
ejpam-5785	55	9	)	)	PUNCT
ejpam-5785	55	10	is	be	AUX
ejpam-5785	55	11	represented	represent	VERB
ejpam-5785	55	12	by	by	ADP
ejpam-5785	55	13	three	three	NUM
ejpam-5785	55	14	distinct	distinct	ADJ
ejpam-5785	55	15	components	component	NOUN
ejpam-5785	55	16	:	:	PUNCT
ejpam-5785	55	17	the	the	DET
ejpam-5785	55	18	truth	truth	NOUN
ejpam-5785	55	19	membership	membership	NOUN
ejpam-5785	55	20	grade	grade	NOUN
ejpam-5785	55	21	td(ξ	td(ξ	NUM
ejpam-5785	55	22	,	,	PUNCT
ejpam-5785	55	23	µ	µ	NOUN
ejpam-5785	55	24	)	)	PUNCT
ejpam-5785	55	25	,	,	PUNCT
ejpam-5785	55	26	the	the	DET
ejpam-5785	55	27	indeterminacy	indeterminacy	NOUN
ejpam-5785	55	28	membership	membership	NOUN
ejpam-5785	55	29	grade	grade	NOUN
ejpam-5785	55	30	id(ξ	id(ξ	PROPN
ejpam-5785	55	31	,	,	PUNCT
ejpam-5785	55	32	µ	µ	NOUN
ejpam-5785	55	33	)	)	PUNCT
ejpam-5785	55	34	,	,	PUNCT
ejpam-5785	55	35	and	and	CCONJ
ejpam-5785	55	36	the	the	DET
ejpam-5785	55	37	falsity	falsity	NOUN
ejpam-5785	55	38	membership	membership	NOUN
ejpam-5785	55	39	grade	grade	NOUN
ejpam-5785	55	40	f	f	PROPN
ejpam-5785	55	41	(	(	PUNCT
ejpam-5785	55	42	ξ	ξ	PROPN
ejpam-5785	55	43	,	,	PUNCT
ejpam-5785	55	44	µ	µ	NOUN
ejpam-5785	55	45	)	)	PUNCT
ejpam-5785	55	46	.	.	PUNCT
ejpam-5785	56	1	the	the	DET
ejpam-5785	56	2	notation	notation	NOUN
ejpam-5785	56	3	]	]	PUNCT
ejpam-5785	56	4	0−	0−	NUM
ejpam-5785	56	5	,	,	PUNCT
ejpam-5785	56	6	1	1	NUM
ejpam-5785	56	7	+	+	CCONJ
ejpam-5785	56	8	[	[	PUNCT
ejpam-5785	56	9	signifies	signify	VERB
ejpam-5785	56	10	a	a	DET
ejpam-5785	56	11	nonstandard	nonstandard	ADJ
ejpam-5785	56	12	unit	unit	NOUN
ejpam-5785	56	13	interval	interval	NOUN
ejpam-5785	56	14	.	.	PUNCT
ejpam-5785	57	1	triangular	triangular	NOUN
ejpam-5785	57	2	norms	norm	NOUN
ejpam-5785	57	3	(	(	PUNCT
ejpam-5785	57	4	tn	tn	NOUN
ejpam-5785	57	5	)	)	PUNCT
ejpam-5785	57	6	,	,	PUNCT
ejpam-5785	57	7	first	first	ADV
ejpam-5785	57	8	proposed	propose	VERB
ejpam-5785	57	9	by	by	ADP
ejpam-5785	57	10	menger	menger	PROPN
ejpam-5785	58	1	[	[	X
ejpam-5785	58	2	26	26	NUM
ejpam-5785	58	3	]	]	PUNCT
ejpam-5785	58	4	(	(	PUNCT
ejpam-5785	58	5	see	see	VERB
ejpam-5785	58	6	also	also	ADV
ejpam-5785	58	7	[	[	X
ejpam-5785	58	8	24	24	NUM
ejpam-5785	58	9	]	]	PUNCT
ejpam-5785	58	10	)	)	PUNCT
ejpam-5785	58	11	,	,	PUNCT
ejpam-5785	58	12	represent	represent	VERB
ejpam-5785	58	13	a	a	DET
ejpam-5785	58	14	crucial	crucial	ADJ
ejpam-5785	58	15	concept	concept	NOUN
ejpam-5785	58	16	in	in	ADP
ejpam-5785	58	17	the	the	DET
ejpam-5785	58	18	realm	realm	NOUN
ejpam-5785	58	19	of	of	ADP
ejpam-5785	58	20	mathematical	mathematical	ADJ
ejpam-5785	58	21	analysis	analysis	NOUN
ejpam-5785	58	22	.	.	PUNCT
ejpam-5785	59	1	menger	menger	PROPN
ejpam-5785	59	2	’s	’s	PART
ejpam-5785	59	3	pioneering	pioneer	VERB
ejpam-5785	59	4	methodology	methodology	NOUN
ejpam-5785	59	5	utilized	utilize	VERB
ejpam-5785	59	6	probability	probability	NOUN
ejpam-5785	59	7	distributions	distribution	NOUN
ejpam-5785	59	8	to	to	PART
ejpam-5785	59	9	evaluate	evaluate	VERB
ejpam-5785	59	10	the	the	DET
ejpam-5785	59	11	distance	distance	NOUN
ejpam-5785	59	12	between	between	ADP
ejpam-5785	59	13	two	two	NUM
ejpam-5785	59	14	elements	element	NOUN
ejpam-5785	59	15	in	in	ADP
ejpam-5785	59	16	a	a	DET
ejpam-5785	59	17	given	give	VERB
ejpam-5785	59	18	space	space	NOUN
ejpam-5785	59	19	,	,	PUNCT
ejpam-5785	59	20	thereby	thereby	ADV
ejpam-5785	59	21	transcending	transcend	VERB
ejpam-5785	59	22	the	the	DET
ejpam-5785	59	23	conventional	conventional	ADJ
ejpam-5785	59	24	dependence	dependence	NOUN
ejpam-5785	59	25	on	on	ADP
ejpam-5785	59	26	numerical	numerical	ADJ
ejpam-5785	59	27	values	value	NOUN
ejpam-5785	59	28	.	.	PUNCT
ejpam-5785	60	1	this	this	DET
ejpam-5785	60	2	approach	approach	NOUN
ejpam-5785	60	3	enables	enable	VERB
ejpam-5785	60	4	the	the	DET
ejpam-5785	60	5	generalization	generalization	NOUN
ejpam-5785	60	6	of	of	ADP
ejpam-5785	60	7	the	the	DET
ejpam-5785	60	8	triangle	triangle	NOUN
ejpam-5785	60	9	inequality	inequality	NOUN
ejpam-5785	60	10	within	within	ADP
ejpam-5785	60	11	metric	metric	ADJ
ejpam-5785	60	12	spaces	space	NOUN
ejpam-5785	60	13	via	via	ADP
ejpam-5785	60	14	the	the	DET
ejpam-5785	60	15	implementation	implementation	NOUN
ejpam-5785	60	16	of	of	ADP
ejpam-5785	60	17	triangular	triangular	NOUN
ejpam-5785	60	18	norms	norm	NOUN
ejpam-5785	60	19	.	.	PUNCT
ejpam-5785	61	1	in	in	ADP
ejpam-5785	61	2	contrast	contrast	NOUN
ejpam-5785	61	3	,	,	PUNCT
ejpam-5785	61	4	triangular	triangular	NOUN
ejpam-5785	61	5	conorms	conorm	NOUN
ejpam-5785	61	6	(	(	PUNCT
ejpam-5785	61	7	tc	tc	NOUN
ejpam-5785	61	8	)	)	PUNCT
ejpam-5785	61	9	act	act	NOUN
ejpam-5785	61	10	as	as	ADP
ejpam-5785	61	11	dual	dual	ADJ
ejpam-5785	61	12	counterparts	counterpart	NOUN
ejpam-5785	61	13	to	to	ADP
ejpam-5785	61	14	t	t	NOUN
ejpam-5785	61	15	-	-	PUNCT
ejpam-5785	61	16	norms	norm	NOUN
ejpam-5785	61	17	.	.	PUNCT
ejpam-5785	62	1	both	both	PRON
ejpam-5785	62	2	tn	tn	PROPN
ejpam-5785	62	3	and	and	CCONJ
ejpam-5785	62	4	tc	tc	NOUN
ejpam-5785	62	5	play	play	VERB
ejpam-5785	62	6	vital	vital	ADJ
ejpam-5785	62	7	roles	role	NOUN
ejpam-5785	62	8	in	in	ADP
ejpam-5785	62	9	fuzzy	fuzzy	ADJ
ejpam-5785	62	10	operations	operation	NOUN
ejpam-5785	62	11	,	,	PUNCT
ejpam-5785	62	12	particularly	particularly	ADV
ejpam-5785	62	13	in	in	ADP
ejpam-5785	62	14	relation	relation	NOUN
ejpam-5785	62	15	to	to	ADP
ejpam-5785	62	16	intersections	intersection	NOUN
ejpam-5785	62	17	and	and	CCONJ
ejpam-5785	62	18	unions	union	NOUN
ejpam-5785	62	19	.	.	PUNCT
ejpam-5785	63	1	in	in	ADP
ejpam-5785	63	2	this	this	DET
ejpam-5785	63	3	manuscript	manuscript	NOUN
ejpam-5785	63	4	,	,	PUNCT
ejpam-5785	63	5	the	the	DET
ejpam-5785	63	6	notation	notation	NOUN
ejpam-5785	63	7	r+	r+	NOUN
ejpam-5785	63	8	is	be	AUX
ejpam-5785	63	9	used	use	VERB
ejpam-5785	63	10	to	to	PART
ejpam-5785	63	11	represent	represent	VERB
ejpam-5785	63	12	the	the	DET
ejpam-5785	63	13	interval	interval	NOUN
ejpam-5785	63	14	=	=	PUNCT
ejpam-5785	64	1	[	[	X
ejpam-5785	64	2	0,+∞	0,+∞	NUM
ejpam-5785	64	3	)	)	PUNCT
ejpam-5785	64	4	,	,	PUNCT
ejpam-5785	64	5	while	while	SCONJ
ejpam-5785	64	6	i	i	PRON
ejpam-5785	64	7	denotes	denote	VERB
ejpam-5785	64	8	the	the	DET
ejpam-5785	64	9	unit	unit	NOUN
ejpam-5785	64	10	interval	interval	NOUN
ejpam-5785	65	1	[	[	X
ejpam-5785	65	2	0	0	NUM
ejpam-5785	65	3	,	,	PUNCT
ejpam-5785	65	4	1	1	NUM
ejpam-5785	65	5	]	]	PUNCT
ejpam-5785	65	6	.	.	PUNCT
ejpam-5785	66	1	definition	definition	NOUN
ejpam-5785	66	2	4	4	NUM
ejpam-5785	66	3	.	.	PUNCT
ejpam-5785	67	1	[	[	X
ejpam-5785	67	2	26	26	NUM
ejpam-5785	67	3	]	]	PUNCT
ejpam-5785	67	4	consider	consider	VERB
ejpam-5785	67	5	an	an	DET
ejpam-5785	67	6	operation	operation	NOUN
ejpam-5785	67	7	⊙	⊙	NOUN
ejpam-5785	67	8	:	:	PUNCT
ejpam-5785	68	1	i×i	i×i	PROPN
ejpam-5785	68	2	→	→	SYM
ejpam-5785	68	3	i.	i.	NOUN
ejpam-5785	68	4	this	this	DET
ejpam-5785	68	5	operation	operation	NOUN
ejpam-5785	68	6	is	be	AUX
ejpam-5785	68	7	classified	classify	VERB
ejpam-5785	68	8	as	as	ADP
ejpam-5785	68	9	continuous	continuous	ADJ
ejpam-5785	68	10	t	t	NOUN
ejpam-5785	68	11	-	-	PUNCT
ejpam-5785	68	12	norm	norm	NOUN
ejpam-5785	68	13	(	(	PUNCT
ejpam-5785	68	14	tn	tn	NOUN
ejpam-5785	68	15	)	)	PUNCT
ejpam-5785	68	16	if	if	SCONJ
ejpam-5785	68	17	it	it	PRON
ejpam-5785	68	18	meets	meet	VERB
ejpam-5785	68	19	the	the	DET
ejpam-5785	68	20	following	follow	VERB
ejpam-5785	68	21	criteria	criterion	NOUN
ejpam-5785	68	22	:	:	PUNCT
ejpam-5785	68	23	for	for	ADP
ejpam-5785	68	24	any	any	DET
ejpam-5785	68	25	elements	element	NOUN
ejpam-5785	68	26	ϖ,ϖ′	ϖ,ϖ′	PROPN
ejpam-5785	68	27	,	,	PUNCT
ejpam-5785	68	28	t	t	PROPN
ejpam-5785	68	29	,	,	PUNCT
ejpam-5785	68	30	t′	t′	NUM
ejpam-5785	68	31	∈	∈	PROPN
ejpam-5785	68	32	i.	i.	NOUN
ejpam-5785	68	33	(	(	PUNCT
ejpam-5785	68	34	i	i	NOUN
ejpam-5785	68	35	)	)	PUNCT
ejpam-5785	68	36	ϖ	ϖ	PROPN
ejpam-5785	68	37	⊙	⊙	NOUN
ejpam-5785	68	38	1	1	NUM
ejpam-5785	68	39	=	=	SYM
ejpam-5785	68	40	ϖ	ϖ	NOUN
ejpam-5785	68	41	,	,	PUNCT
ejpam-5785	68	42	(	(	PUNCT
ejpam-5785	68	43	ii	ii	NOUN
ejpam-5785	68	44	)	)	PUNCT
ejpam-5785	68	45	if	if	SCONJ
ejpam-5785	68	46	ϖ	ϖ	PRON
ejpam-5785	68	47	≤	≤	X
ejpam-5785	68	48	ϖ′	ϖ′	X
ejpam-5785	68	49	and	and	CCONJ
ejpam-5785	68	50	t	t	X
ejpam-5785	68	51	≤	≤	NUM
ejpam-5785	68	52	t′	t′	NUM
ejpam-5785	68	53	,	,	PUNCT
ejpam-5785	68	54	than	than	ADP
ejpam-5785	68	55	ϖ	ϖ	PROPN
ejpam-5785	68	56	⊙	⊙	PROPN
ejpam-5785	68	57	t	t	PROPN
ejpam-5785	68	58	≤	≤	PROPN
ejpam-5785	68	59	ϖ′	ϖ′	NUM
ejpam-5785	68	60	⊙	⊙	NOUN
ejpam-5785	68	61	t′	t′	NUM
ejpam-5785	68	62	,	,	PUNCT
ejpam-5785	68	63	(	(	PUNCT
ejpam-5785	68	64	iii	iii	X
ejpam-5785	68	65	)	)	PUNCT
ejpam-5785	68	66	⊙	⊙	PROPN
ejpam-5785	68	67	is	be	AUX
ejpam-5785	68	68	continuous	continuous	ADJ
ejpam-5785	68	69	,	,	PUNCT
ejpam-5785	68	70	(	(	PUNCT
ejpam-5785	68	71	iv	iv	X
ejpam-5785	68	72	)	)	PUNCT
ejpam-5785	68	73	⊙	⊙	PROPN
ejpam-5785	68	74	is	be	AUX
ejpam-5785	68	75	commutative	commutative	ADJ
ejpam-5785	68	76	and	and	CCONJ
ejpam-5785	68	77	associate	associate	ADJ
ejpam-5785	68	78	.	.	PUNCT
ejpam-5785	69	1	definition	definition	NOUN
ejpam-5785	69	2	5	5	NUM
ejpam-5785	69	3	.	.	PUNCT
ejpam-5785	70	1	[	[	X
ejpam-5785	70	2	26	26	NUM
ejpam-5785	70	3	]	]	PUNCT
ejpam-5785	70	4	consider	consider	VERB
ejpam-5785	70	5	an	an	DET
ejpam-5785	70	6	operation	operation	NOUN
ejpam-5785	70	7	⊕	⊕	NOUN
ejpam-5785	70	8	:	:	PUNCT
ejpam-5785	71	1	i	i	PRON
ejpam-5785	71	2	×	×	VERB
ejpam-5785	71	3	i	i	PRON
ejpam-5785	71	4	→	→	SYM
ejpam-5785	71	5	i.	i.	NOUN
ejpam-5785	71	6	this	this	DET
ejpam-5785	71	7	operation	operation	NOUN
ejpam-5785	71	8	is	be	AUX
ejpam-5785	71	9	classified	classify	VERB
ejpam-5785	71	10	as	as	ADP
ejpam-5785	71	11	continuous	continuous	ADJ
ejpam-5785	71	12	t	t	NOUN
ejpam-5785	71	13	-	-	PUNCT
ejpam-5785	71	14	conorm	conorm	NOUN
ejpam-5785	71	15	(	(	PUNCT
ejpam-5785	71	16	tc	tc	NOUN
ejpam-5785	71	17	)	)	PUNCT
ejpam-5785	71	18	if	if	SCONJ
ejpam-5785	71	19	it	it	PRON
ejpam-5785	71	20	meets	meet	VERB
ejpam-5785	71	21	the	the	DET
ejpam-5785	71	22	following	follow	VERB
ejpam-5785	71	23	criteria	criterion	NOUN
ejpam-5785	71	24	:	:	PUNCT
ejpam-5785	71	25	for	for	ADP
ejpam-5785	71	26	all	all	DET
ejpam-5785	71	27	elements	element	NOUN
ejpam-5785	71	28	ϖ,ϖ′	ϖ,ϖ′	PROPN
ejpam-5785	71	29	,	,	PUNCT
ejpam-5785	71	30	t	t	PROPN
ejpam-5785	71	31	,	,	PUNCT
ejpam-5785	71	32	t′	t′	NUM
ejpam-5785	71	33	∈	∈	PROPN
ejpam-5785	71	34	i.	i.	NOUN
ejpam-5785	71	35	(	(	PUNCT
ejpam-5785	71	36	i	i	NOUN
ejpam-5785	71	37	)	)	PUNCT
ejpam-5785	71	38	ϖ	ϖ	PROPN
ejpam-5785	71	39	⊕	⊕	NOUN
ejpam-5785	71	40	0	0	NUM
ejpam-5785	72	1	=	=	SYM
ejpam-5785	72	2	ϖ	ϖ	NOUN
ejpam-5785	72	3	,	,	PUNCT
ejpam-5785	72	4	(	(	PUNCT
ejpam-5785	72	5	ii	ii	NOUN
ejpam-5785	72	6	)	)	PUNCT
ejpam-5785	72	7	if	if	SCONJ
ejpam-5785	72	8	ϖ	ϖ	PRON
ejpam-5785	72	9	≤	≤	X
ejpam-5785	72	10	ϖ′	ϖ′	X
ejpam-5785	72	11	and	and	CCONJ
ejpam-5785	72	12	t	t	X
ejpam-5785	72	13	≤	≤	NUM
ejpam-5785	72	14	t′	t′	NUM
ejpam-5785	72	15	,	,	PUNCT
ejpam-5785	72	16	than	than	SCONJ
ejpam-5785	72	17	ϖ	ϖ	PROPN
ejpam-5785	72	18	⊕	⊕	PROPN
ejpam-5785	72	19	t	t	PROPN
ejpam-5785	72	20	≤	≤	NOUN
ejpam-5785	72	21	ϖ′	ϖ′	NUM
ejpam-5785	72	22	⊕	⊕	PROPN
ejpam-5785	72	23	t′	t′	NUM
ejpam-5785	72	24	,	,	PUNCT
ejpam-5785	72	25	(	(	PUNCT
ejpam-5785	72	26	iii	iii	X
ejpam-5785	72	27	)	)	PUNCT
ejpam-5785	72	28	⊕	⊕	PROPN
ejpam-5785	72	29	is	be	AUX
ejpam-5785	72	30	continuous	continuous	ADJ
ejpam-5785	72	31	,	,	PUNCT
ejpam-5785	72	32	(	(	PUNCT
ejpam-5785	72	33	iv	iv	X
ejpam-5785	72	34	)	)	PUNCT
ejpam-5785	72	35	⊕	⊕	PROPN
ejpam-5785	72	36	is	be	AUX
ejpam-5785	72	37	commutative	commutative	ADJ
ejpam-5785	72	38	and	and	CCONJ
ejpam-5785	72	39	associate	associate	ADJ
ejpam-5785	72	40	.	.	PUNCT
ejpam-5785	73	1	a.	a.	PROPN
ejpam-5785	73	2	bataihah	bataihah	PROPN
ejpam-5785	73	3	,	,	PUNCT
ejpam-5785	73	4	a.	a.	NOUN
ejpam-5785	73	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	73	6	/	/	SYM
ejpam-5785	73	7	eur	eur	PROPN
ejpam-5785	73	8	.	.	PUNCT
ejpam-5785	74	1	j.	j.	PROPN
ejpam-5785	74	2	pure	pure	PROPN
ejpam-5785	74	3	appl	appl	PROPN
ejpam-5785	74	4	.	.	PROPN
ejpam-5785	74	5	math	math	PROPN
ejpam-5785	74	6	,	,	PUNCT
ejpam-5785	74	7	18	18	NUM
ejpam-5785	74	8	(	(	PUNCT
ejpam-5785	74	9	1	1	NUM
ejpam-5785	74	10	)	)	PUNCT
ejpam-5785	74	11	(	(	PUNCT
ejpam-5785	74	12	2025	2025	NUM
ejpam-5785	74	13	)	)	PUNCT
ejpam-5785	74	14	,	,	PUNCT
ejpam-5785	74	15	5785	5785	NUM
ejpam-5785	74	16	4	4	NUM
ejpam-5785	74	17	of	of	ADP
ejpam-5785	74	18	15	15	NUM
ejpam-5785	74	19	definition	definition	NOUN
ejpam-5785	74	20	6	6	NUM
ejpam-5785	74	21	.	.	PUNCT
ejpam-5785	75	1	[	[	X
ejpam-5785	75	2	24	24	NUM
ejpam-5785	75	3	]	]	PUNCT
ejpam-5785	75	4	a	a	DET
ejpam-5785	75	5	6	6	NUM
ejpam-5785	75	6	-	-	PUNCT
ejpam-5785	75	7	tuple	tuple	NOUN
ejpam-5785	75	8	(	(	PUNCT
ejpam-5785	75	9	x	x	NOUN
ejpam-5785	75	10	,	,	PUNCT
ejpam-5785	75	11	h	h	NOUN
ejpam-5785	75	12	,	,	PUNCT
ejpam-5785	75	13	k	k	NOUN
ejpam-5785	75	14	,	,	PUNCT
ejpam-5785	75	15	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	75	16	)	)	PUNCT
ejpam-5785	75	17	is	be	AUX
ejpam-5785	75	18	referred	refer	VERB
ejpam-5785	75	19	to	to	ADP
ejpam-5785	75	20	as	as	ADP
ejpam-5785	75	21	a	a	DET
ejpam-5785	75	22	neutrophic	neutrophic	ADJ
ejpam-5785	75	23	metric	metric	ADJ
ejpam-5785	75	24	space	space	NOUN
ejpam-5785	75	25	(	(	PUNCT
ejpam-5785	75	26	nms	nms	NOUN
ejpam-5785	75	27	)	)	PUNCT
ejpam-5785	75	28	if	if	SCONJ
ejpam-5785	75	29	the	the	DET
ejpam-5785	75	30	set	set	NOUN
ejpam-5785	75	31	x	x	SYM
ejpam-5785	75	32	is	be	AUX
ejpam-5785	75	33	a	a	DET
ejpam-5785	75	34	non	non	ADJ
ejpam-5785	75	35	-	-	ADJ
ejpam-5785	75	36	empty	empty	ADJ
ejpam-5785	75	37	arbitrary	arbitrary	ADJ
ejpam-5785	75	38	collection	collection	NOUN
ejpam-5785	75	39	,	,	PUNCT
ejpam-5785	75	40	⊙	⊙	PROPN
ejpam-5785	75	41	signifies	signify	VERB
ejpam-5785	75	42	a	a	DET
ejpam-5785	75	43	continuous	continuous	ADJ
ejpam-5785	75	44	t	t	NOUN
ejpam-5785	75	45	-	-	PUNCT
ejpam-5785	75	46	norm	norm	NOUN
ejpam-5785	75	47	,	,	PUNCT
ejpam-5785	75	48	⊕	⊕	PROPN
ejpam-5785	75	49	indicates	indicate	VERB
ejpam-5785	75	50	a	a	DET
ejpam-5785	75	51	continuous	continuous	ADJ
ejpam-5785	75	52	t	t	NOUN
ejpam-5785	75	53	-	-	PUNCT
ejpam-5785	75	54	conorm	conorm	NOUN
ejpam-5785	75	55	,	,	PUNCT
ejpam-5785	75	56	and	and	CCONJ
ejpam-5785	75	57	the	the	DET
ejpam-5785	75	58	elements	element	NOUN
ejpam-5785	75	59	h	h	NOUN
ejpam-5785	75	60	,	,	PUNCT
ejpam-5785	75	61	k	k	NOUN
ejpam-5785	75	62	,	,	PUNCT
ejpam-5785	75	63	and	and	CCONJ
ejpam-5785	75	64	l	l	NOUN
ejpam-5785	75	65	are	be	AUX
ejpam-5785	75	66	three	three	NUM
ejpam-5785	75	67	fuzzy	fuzzy	ADJ
ejpam-5785	75	68	sets	set	NOUN
ejpam-5785	75	69	established	establish	VERB
ejpam-5785	75	70	on	on	ADP
ejpam-5785	75	71	the	the	DET
ejpam-5785	75	72	cartesian	cartesian	ADJ
ejpam-5785	75	73	product	product	NOUN
ejpam-5785	75	74	x	x	SYM
ejpam-5785	75	75	2	2	NUM
ejpam-5785	75	76	×	×	NOUN
ejpam-5785	75	77	(	(	PUNCT
ejpam-5785	75	78	0,+∞	0,+∞	NUM
ejpam-5785	75	79	)	)	PUNCT
ejpam-5785	75	80	.	.	PUNCT
ejpam-5785	76	1	these	these	DET
ejpam-5785	76	2	components	component	NOUN
ejpam-5785	76	3	must	must	AUX
ejpam-5785	76	4	satisfy	satisfy	VERB
ejpam-5785	76	5	the	the	DET
ejpam-5785	76	6	following	follow	VERB
ejpam-5785	76	7	specific	specific	ADJ
ejpam-5785	76	8	conditions	condition	NOUN
ejpam-5785	76	9	for	for	ADP
ejpam-5785	76	10	all	all	DET
ejpam-5785	76	11	elements	element	NOUN
ejpam-5785	76	12	ξ	ξ	PROPN
ejpam-5785	76	13	,	,	PUNCT
ejpam-5785	76	14	ω	ω	PROPN
ejpam-5785	76	15	,	,	PUNCT
ejpam-5785	76	16	c	c	PROPN
ejpam-5785	76	17	∈	∈	PROPN
ejpam-5785	76	18	x	x	X
ejpam-5785	76	19	and	and	CCONJ
ejpam-5785	76	20	for	for	ADP
ejpam-5785	76	21	all	all	DET
ejpam-5785	76	22	positive	positive	ADJ
ejpam-5785	76	23	real	real	ADJ
ejpam-5785	76	24	numbers	number	NOUN
ejpam-5785	76	25	λ	λ	PROPN
ejpam-5785	76	26	,	,	PUNCT
ejpam-5785	76	27	ρ	ρ	PROPN
ejpam-5785	76	28	.	.	PUNCT
ejpam-5785	77	1	(	(	PUNCT
ejpam-5785	77	2	i	i	NOUN
ejpam-5785	77	3	)	)	PUNCT
ejpam-5785	77	4	0	0	NUM
ejpam-5785	78	1	≤	≤	NUM
ejpam-5785	78	2	h(ξ	h(ξ	PROPN
ejpam-5785	78	3	,	,	PUNCT
ejpam-5785	78	4	ω	ω	PROPN
ejpam-5785	78	5	,	,	PUNCT
ejpam-5785	78	6	λ	λ	NOUN
ejpam-5785	78	7	)	)	PUNCT
ejpam-5785	78	8	≤	≤	NUM
ejpam-5785	78	9	1	1	NUM
ejpam-5785	78	10	,	,	PUNCT
ejpam-5785	78	11	0	0	NUM
ejpam-5785	78	12	≤	≤	NOUN
ejpam-5785	78	13	k(ξ	k(ξ	ADJ
ejpam-5785	78	14	,	,	PUNCT
ejpam-5785	78	15	ω	ω	PROPN
ejpam-5785	78	16	,	,	PUNCT
ejpam-5785	78	17	λ	λ	NOUN
ejpam-5785	78	18	)	)	PUNCT
ejpam-5785	78	19	≤	≤	NUM
ejpam-5785	78	20	1	1	NUM
ejpam-5785	78	21	,	,	PUNCT
ejpam-5785	78	22	0	0	NUM
ejpam-5785	78	23	≤	≤	NUM
ejpam-5785	78	24	l(ξ	l(ξ	PROPN
ejpam-5785	78	25	,	,	PUNCT
ejpam-5785	78	26	ω	ω	PROPN
ejpam-5785	78	27	,	,	PUNCT
ejpam-5785	78	28	λ	λ	NOUN
ejpam-5785	78	29	)	)	PUNCT
ejpam-5785	78	30	≤	≤	NUM
ejpam-5785	78	31	1	1	NUM
ejpam-5785	78	32	,	,	PUNCT
ejpam-5785	78	33	(	(	PUNCT
ejpam-5785	78	34	ii	ii	NOUN
ejpam-5785	78	35	)	)	PUNCT
ejpam-5785	78	36	0	0	NUM
ejpam-5785	79	1	≤	≤	NUM
ejpam-5785	79	2	h(ξ	h(ξ	PROPN
ejpam-5785	79	3	,	,	PUNCT
ejpam-5785	79	4	ω	ω	PROPN
ejpam-5785	79	5	,	,	PUNCT
ejpam-5785	79	6	λ	λ	NOUN
ejpam-5785	79	7	)	)	PUNCT
ejpam-5785	79	8	+	+	PROPN
ejpam-5785	79	9	k(ξ	k(ξ	ADJ
ejpam-5785	79	10	,	,	PUNCT
ejpam-5785	79	11	ω	ω	PROPN
ejpam-5785	79	12	,	,	PUNCT
ejpam-5785	79	13	λ	λ	NOUN
ejpam-5785	79	14	)	)	PUNCT
ejpam-5785	79	15	+	+	CCONJ
ejpam-5785	79	16	l(ξ	l(ξ	PROPN
ejpam-5785	79	17	,	,	PUNCT
ejpam-5785	79	18	ω	ω	NOUN
ejpam-5785	79	19	,	,	PUNCT
ejpam-5785	79	20	λ	λ	NOUN
ejpam-5785	79	21	)	)	PUNCT
ejpam-5785	79	22	≤	≤	NOUN
ejpam-5785	79	23	3	3	NUM
ejpam-5785	79	24	,	,	PUNCT
ejpam-5785	79	25	(	(	PUNCT
ejpam-5785	79	26	iii	iii	X
ejpam-5785	79	27	)	)	PUNCT
ejpam-5785	79	28	h(ξ	h(ξ	PROPN
ejpam-5785	79	29	,	,	PUNCT
ejpam-5785	79	30	ω	ω	PROPN
ejpam-5785	79	31	,	,	PUNCT
ejpam-5785	79	32	λ	λ	NOUN
ejpam-5785	79	33	)	)	PUNCT
ejpam-5785	79	34	=	=	SYM
ejpam-5785	79	35	1	1	NUM
ejpam-5785	79	36	,	,	PUNCT
ejpam-5785	79	37	for	for	ADP
ejpam-5785	79	38	λ	λ	PROPN
ejpam-5785	79	39	>	>	X
ejpam-5785	79	40	0	0	NUM
ejpam-5785	79	41	iff	iff	PROPN
ejpam-5785	79	42	ξ	ξ	PROPN
ejpam-5785	79	43	=	=	SYM
ejpam-5785	79	44	ω	ω	PROPN
ejpam-5785	79	45	(	(	PUNCT
ejpam-5785	79	46	iv	iv	NOUN
ejpam-5785	79	47	)	)	PUNCT
ejpam-5785	79	48	h(ξ	h(ξ	PROPN
ejpam-5785	79	49	,	,	PUNCT
ejpam-5785	79	50	ω	ω	PROPN
ejpam-5785	79	51	,	,	PUNCT
ejpam-5785	79	52	λ	λ	NOUN
ejpam-5785	79	53	)	)	PUNCT
ejpam-5785	79	54	=	=	SYM
ejpam-5785	79	55	h(ω	h(ω	PROPN
ejpam-5785	79	56	,	,	PUNCT
ejpam-5785	79	57	ξ	ξ	PROPN
ejpam-5785	79	58	,	,	PUNCT
ejpam-5785	79	59	λ	λ	NOUN
ejpam-5785	79	60	)	)	PUNCT
ejpam-5785	79	61	,	,	PUNCT
ejpam-5785	79	62	for	for	ADP
ejpam-5785	79	63	λ	λ	PROPN
ejpam-5785	79	64	>	>	X
ejpam-5785	79	65	0	0	PUNCT
ejpam-5785	79	66	(	(	PUNCT
ejpam-5785	79	67	v	v	NOUN
ejpam-5785	79	68	)	)	PUNCT
ejpam-5785	79	69	h(ξ	h(ξ	PROPN
ejpam-5785	79	70	,	,	PUNCT
ejpam-5785	79	71	ω	ω	PROPN
ejpam-5785	79	72	,	,	PUNCT
ejpam-5785	79	73	λ)⊙h(ω	λ)⊙h(ω	PROPN
ejpam-5785	79	74	,	,	PUNCT
ejpam-5785	79	75	c	c	PROPN
ejpam-5785	79	76	,	,	PUNCT
ejpam-5785	79	77	ρ	ρ	NOUN
ejpam-5785	79	78	)	)	PUNCT
ejpam-5785	79	79	≤	≤	PUNCT
ejpam-5785	79	80	h(ξ	h(ξ	PROPN
ejpam-5785	79	81	,	,	PUNCT
ejpam-5785	79	82	c	c	NOUN
ejpam-5785	79	83	,	,	PUNCT
ejpam-5785	79	84	λ+	λ+	VERB
ejpam-5785	79	85	ρ	ρ	NOUN
ejpam-5785	79	86	)	)	PUNCT
ejpam-5785	79	87	(	(	PUNCT
ejpam-5785	79	88	vi	vi	NOUN
ejpam-5785	79	89	)	)	PUNCT
ejpam-5785	79	90	h(ξ	h(ξ	PROPN
ejpam-5785	79	91	,	,	PUNCT
ejpam-5785	79	92	ω	ω	PROPN
ejpam-5785	79	93	,	,	PUNCT
ejpam-5785	79	94	·	·	PUNCT
ejpam-5785	79	95	)	)	PUNCT
ejpam-5785	79	96	:	:	PUNCT
ejpam-5785	79	97	r+	r+	X
ejpam-5785	79	98	→	→	PUNCT
ejpam-5785	79	99	i	i	PRON
ejpam-5785	79	100	is	be	AUX
ejpam-5785	79	101	continuous	continuous	ADJ
ejpam-5785	79	102	(	(	PUNCT
ejpam-5785	79	103	vii	vii	PROPN
ejpam-5785	79	104	)	)	PUNCT
ejpam-5785	79	105	lim	lim	PROPN
ejpam-5785	79	106	λ→+∞	λ→+∞	PROPN
ejpam-5785	79	107	h(ξ	h(ξ	PROPN
ejpam-5785	79	108	,	,	PUNCT
ejpam-5785	79	109	ω	ω	PROPN
ejpam-5785	79	110	,	,	PUNCT
ejpam-5785	79	111	λ	λ	NOUN
ejpam-5785	79	112	)	)	PUNCT
ejpam-5785	79	113	=	=	SYM
ejpam-5785	79	114	1	1	NUM
ejpam-5785	79	115	(	(	PUNCT
ejpam-5785	79	116	viii	viii	NOUN
ejpam-5785	79	117	)	)	PUNCT
ejpam-5785	79	118	k(ξ	k(ξ	PROPN
ejpam-5785	79	119	,	,	PUNCT
ejpam-5785	79	120	ω	ω	PROPN
ejpam-5785	79	121	,	,	PUNCT
ejpam-5785	79	122	λ	λ	NOUN
ejpam-5785	79	123	)	)	PUNCT
ejpam-5785	79	124	=	=	SYM
ejpam-5785	79	125	0	0	NUM
ejpam-5785	79	126	iff	iff	PROPN
ejpam-5785	79	127	ξ	ξ	PROPN
ejpam-5785	79	128	=	=	SYM
ejpam-5785	79	129	ω	ω	PROPN
ejpam-5785	79	130	(	(	PUNCT
ejpam-5785	79	131	ix	ix	PROPN
ejpam-5785	79	132	)	)	PUNCT
ejpam-5785	79	133	k(ξ	k(ξ	PROPN
ejpam-5785	79	134	,	,	PUNCT
ejpam-5785	79	135	ω	ω	PROPN
ejpam-5785	79	136	,	,	PUNCT
ejpam-5785	79	137	λ	λ	NOUN
ejpam-5785	79	138	)	)	PUNCT
ejpam-5785	79	139	=	=	SYM
ejpam-5785	79	140	k(ω	k(ω	PROPN
ejpam-5785	79	141	,	,	PUNCT
ejpam-5785	79	142	ξ	ξ	PROPN
ejpam-5785	79	143	,	,	PUNCT
ejpam-5785	79	144	λ	λ	NOUN
ejpam-5785	79	145	)	)	PUNCT
ejpam-5785	79	146	,	,	PUNCT
ejpam-5785	79	147	(	(	PUNCT
ejpam-5785	79	148	x	x	X
ejpam-5785	79	149	)	)	PUNCT
ejpam-5785	79	150	k(ξ	k(ξ	PROPN
ejpam-5785	79	151	,	,	PUNCT
ejpam-5785	79	152	ω	ω	PROPN
ejpam-5785	79	153	,	,	PUNCT
ejpam-5785	79	154	λ)⊕k(ω	λ)⊕k(ω	NOUN
ejpam-5785	79	155	,	,	PUNCT
ejpam-5785	79	156	c	c	X
ejpam-5785	79	157	,	,	PUNCT
ejpam-5785	79	158	ρ	ρ	PROPN
ejpam-5785	79	159	)	)	PUNCT
ejpam-5785	79	160	≥	≥	NOUN
ejpam-5785	79	161	k(ξ	k(ξ	ADJ
ejpam-5785	79	162	,	,	PUNCT
ejpam-5785	79	163	c	c	PROPN
ejpam-5785	79	164	,	,	PUNCT
ejpam-5785	79	165	λ+	λ+	VERB
ejpam-5785	79	166	ρ	ρ	NOUN
ejpam-5785	79	167	)	)	PUNCT
ejpam-5785	79	168	,	,	PUNCT
ejpam-5785	79	169	(	(	PUNCT
ejpam-5785	79	170	xi	xi	NOUN
ejpam-5785	79	171	)	)	PUNCT
ejpam-5785	79	172	k(ξ	k(ξ	PROPN
ejpam-5785	79	173	,	,	PUNCT
ejpam-5785	79	174	ω	ω	PROPN
ejpam-5785	79	175	,	,	PUNCT
ejpam-5785	79	176	·	·	PUNCT
ejpam-5785	79	177	)	)	PUNCT
ejpam-5785	79	178	:	:	PUNCT
ejpam-5785	79	179	r+	r+	X
ejpam-5785	79	180	→	→	PUNCT
ejpam-5785	79	181	i	i	PRON
ejpam-5785	79	182	is	be	AUX
ejpam-5785	79	183	continuous	continuous	ADJ
ejpam-5785	79	184	(	(	PUNCT
ejpam-5785	79	185	xii	xii	NOUN
ejpam-5785	79	186	)	)	PUNCT
ejpam-5785	79	187	lim	lim	PROPN
ejpam-5785	80	1	λ→+∞	λ→+∞	PROPN
ejpam-5785	80	2	k(ξ	k(ξ	PROPN
ejpam-5785	80	3	,	,	PUNCT
ejpam-5785	80	4	ω	ω	PROPN
ejpam-5785	80	5	,	,	PUNCT
ejpam-5785	80	6	λ	λ	NOUN
ejpam-5785	80	7	)	)	PUNCT
ejpam-5785	80	8	=	=	SYM
ejpam-5785	80	9	0	0	NUM
ejpam-5785	80	10	(	(	PUNCT
ejpam-5785	80	11	xiii	xiii	NOUN
ejpam-5785	80	12	)	)	PUNCT
ejpam-5785	81	1	l(ξ	l(ξ	PROPN
ejpam-5785	81	2	,	,	PUNCT
ejpam-5785	81	3	ω	ω	PROPN
ejpam-5785	81	4	,	,	PUNCT
ejpam-5785	81	5	λ	λ	NOUN
ejpam-5785	81	6	)	)	PUNCT
ejpam-5785	81	7	=	=	SYM
ejpam-5785	81	8	0	0	NUM
ejpam-5785	81	9	,	,	PUNCT
ejpam-5785	81	10	for	for	ADP
ejpam-5785	81	11	λ	λ	PROPN
ejpam-5785	81	12	>	>	X
ejpam-5785	81	13	0	0	NUM
ejpam-5785	82	1	iff	iff	PROPN
ejpam-5785	82	2	ξ	ξ	PROPN
ejpam-5785	82	3	=	=	SYM
ejpam-5785	82	4	ω	ω	PROPN
ejpam-5785	82	5	(	(	PUNCT
ejpam-5785	82	6	xiv	xiv	NOUN
ejpam-5785	82	7	)	)	PUNCT
ejpam-5785	83	1	l(ξ	l(ξ	PROPN
ejpam-5785	83	2	,	,	PUNCT
ejpam-5785	83	3	ω	ω	PROPN
ejpam-5785	83	4	,	,	PUNCT
ejpam-5785	83	5	λ	λ	NOUN
ejpam-5785	83	6	)	)	PUNCT
ejpam-5785	83	7	=	=	SYM
ejpam-5785	84	1	l(ω	l(ω	PROPN
ejpam-5785	84	2	,	,	PUNCT
ejpam-5785	84	3	ξ	ξ	PROPN
ejpam-5785	84	4	,	,	PUNCT
ejpam-5785	84	5	λ	λ	NOUN
ejpam-5785	84	6	)	)	PUNCT
ejpam-5785	84	7	,	,	PUNCT
ejpam-5785	84	8	(	(	PUNCT
ejpam-5785	84	9	xv	xv	NOUN
ejpam-5785	84	10	)	)	PUNCT
ejpam-5785	84	11	l(ξ	l(ξ	PROPN
ejpam-5785	84	12	,	,	PUNCT
ejpam-5785	84	13	ω	ω	PROPN
ejpam-5785	84	14	,	,	PUNCT
ejpam-5785	84	15	λ)⊕	λ)⊕	PROPN
ejpam-5785	84	16	l(ω	l(ω	PROPN
ejpam-5785	84	17	,	,	PUNCT
ejpam-5785	84	18	c	c	X
ejpam-5785	84	19	,	,	PUNCT
ejpam-5785	84	20	ρ	ρ	PROPN
ejpam-5785	84	21	)	)	PUNCT
ejpam-5785	84	22	≥	≥	NOUN
ejpam-5785	84	23	s(ξ	s(ξ	PROPN
ejpam-5785	84	24	,	,	PUNCT
ejpam-5785	84	25	c	c	NOUN
ejpam-5785	84	26	,	,	PUNCT
ejpam-5785	84	27	λ+	λ+	VERB
ejpam-5785	84	28	ρ	ρ	NOUN
ejpam-5785	84	29	)	)	PUNCT
ejpam-5785	84	30	,	,	PUNCT
ejpam-5785	84	31	(	(	PUNCT
ejpam-5785	84	32	xvi	xvi	NOUN
ejpam-5785	84	33	)	)	PUNCT
ejpam-5785	84	34	l(ξ	l(ξ	PROPN
ejpam-5785	84	35	,	,	PUNCT
ejpam-5785	84	36	ω	ω	NOUN
ejpam-5785	84	37	,	,	PUNCT
ejpam-5785	84	38	·	·	PUNCT
ejpam-5785	84	39	)	)	PUNCT
ejpam-5785	84	40	:	:	PUNCT
ejpam-5785	85	1	r	r	X
ejpam-5785	85	2	→	→	PUNCT
ejpam-5785	85	3	i	i	PRON
ejpam-5785	85	4	is	be	AUX
ejpam-5785	85	5	continuous	continuous	ADJ
ejpam-5785	85	6	(	(	PUNCT
ejpam-5785	85	7	xvii	xvii	PROPN
ejpam-5785	85	8	)	)	PUNCT
ejpam-5785	86	1	lim	lim	PROPN
ejpam-5785	86	2	λ→+∞	λ→+∞	PROPN
ejpam-5785	86	3	l(ξ	l(ξ	PROPN
ejpam-5785	86	4	,	,	PUNCT
ejpam-5785	86	5	ω	ω	PROPN
ejpam-5785	86	6	,	,	PUNCT
ejpam-5785	86	7	λ	λ	NOUN
ejpam-5785	86	8	)	)	PUNCT
ejpam-5785	86	9	=	=	SYM
ejpam-5785	86	10	0	0	PUNCT
ejpam-5785	86	11	(	(	PUNCT
ejpam-5785	86	12	xviii	xviii	PROPN
ejpam-5785	86	13	)	)	PUNCT
ejpam-5785	86	14	if	if	SCONJ
ejpam-5785	86	15	λ	λ	PROPN
ejpam-5785	86	16	≤	≤	NOUN
ejpam-5785	86	17	0	0	NUM
ejpam-5785	86	18	,	,	PUNCT
ejpam-5785	86	19	then	then	ADV
ejpam-5785	86	20	h(ξ	h(ξ	PROPN
ejpam-5785	86	21	,	,	PUNCT
ejpam-5785	86	22	ω	ω	PROPN
ejpam-5785	86	23	,	,	PUNCT
ejpam-5785	86	24	λ	λ	NOUN
ejpam-5785	86	25	)	)	PUNCT
ejpam-5785	86	26	=	=	SYM
ejpam-5785	86	27	0	0	NUM
ejpam-5785	86	28	,	,	PUNCT
ejpam-5785	86	29	k(ξ	k(ξ	X
ejpam-5785	86	30	,	,	PUNCT
ejpam-5785	86	31	ω	ω	PROPN
ejpam-5785	86	32	,	,	PUNCT
ejpam-5785	86	33	λ	λ	NOUN
ejpam-5785	86	34	)	)	PUNCT
ejpam-5785	86	35	=	=	SYM
ejpam-5785	87	1	l(ξ	l(ξ	PROPN
ejpam-5785	87	2	,	,	PUNCT
ejpam-5785	87	3	ω	ω	PROPN
ejpam-5785	87	4	,	,	PUNCT
ejpam-5785	87	5	λ	λ	NOUN
ejpam-5785	87	6	)	)	PUNCT
ejpam-5785	87	7	=	=	SYM
ejpam-5785	87	8	1	1	NUM
ejpam-5785	87	9	the	the	DET
ejpam-5785	87	10	functions	function	NOUN
ejpam-5785	87	11	h(ξ	h(ξ	PROPN
ejpam-5785	87	12	,	,	PUNCT
ejpam-5785	87	13	ω	ω	PROPN
ejpam-5785	87	14	,	,	PUNCT
ejpam-5785	87	15	λ	λ	NOUN
ejpam-5785	87	16	)	)	PUNCT
ejpam-5785	87	17	,	,	PUNCT
ejpam-5785	87	18	k(ξ	k(ξ	PROPN
ejpam-5785	87	19	,	,	PUNCT
ejpam-5785	87	20	ω	ω	PROPN
ejpam-5785	87	21	,	,	PUNCT
ejpam-5785	87	22	λ	λ	NOUN
ejpam-5785	87	23	)	)	PUNCT
ejpam-5785	87	24	,	,	PUNCT
ejpam-5785	87	25	and	and	CCONJ
ejpam-5785	87	26	l(ξ	l(ξ	PROPN
ejpam-5785	87	27	,	,	PUNCT
ejpam-5785	87	28	ω	ω	PROPN
ejpam-5785	87	29	,	,	PUNCT
ejpam-5785	87	30	λ	λ	NOUN
ejpam-5785	87	31	)	)	PUNCT
ejpam-5785	87	32	represent	represent	VERB
ejpam-5785	87	33	the	the	DET
ejpam-5785	87	34	degrees	degree	NOUN
ejpam-5785	87	35	of	of	ADP
ejpam-5785	87	36	nearness	nearness	NOUN
ejpam-5785	87	37	,	,	PUNCT
ejpam-5785	87	38	neutralness	neutralness	NOUN
ejpam-5785	87	39	,	,	PUNCT
ejpam-5785	87	40	and	and	CCONJ
ejpam-5785	87	41	non	non	ADJ
ejpam-5785	87	42	-	-	NOUN
ejpam-5785	87	43	nearness	nearness	NOUN
ejpam-5785	87	44	between	between	ADP
ejpam-5785	87	45	the	the	DET
ejpam-5785	87	46	elements	element	NOUN
ejpam-5785	87	47	ξ	ξ	PROPN
ejpam-5785	87	48	and	and	CCONJ
ejpam-5785	87	49	ω	ω	NUM
ejpam-5785	87	50	in	in	ADP
ejpam-5785	87	51	relation	relation	NOUN
ejpam-5785	87	52	to	to	ADP
ejpam-5785	87	53	the	the	DET
ejpam-5785	87	54	parameter	parameter	PROPN
ejpam-5785	87	55	λ	λ	PROPN
ejpam-5785	87	56	,	,	PUNCT
ejpam-5785	87	57	respectively	respectively	ADV
ejpam-5785	87	58	.	.	PUNCT
ejpam-5785	88	1	recently	recently	ADV
ejpam-5785	88	2	,	,	PUNCT
ejpam-5785	88	3	ghosh	ghosh	PROPN
ejpam-5785	88	4	et	et	PROPN
ejpam-5785	88	5	al	al	PROPN
ejpam-5785	88	6	.	.	PUNCT
ejpam-5785	89	1	[	[	X
ejpam-5785	89	2	15	15	NUM
ejpam-5785	89	3	]	]	PUNCT
ejpam-5785	89	4	presented	present	VERB
ejpam-5785	89	5	the	the	DET
ejpam-5785	89	6	notion	notion	NOUN
ejpam-5785	89	7	of	of	ADP
ejpam-5785	89	8	neutrosophic	neutrosophic	ADJ
ejpam-5785	89	9	fuzzy	fuzzy	ADJ
ejpam-5785	89	10	metric	metric	ADJ
ejpam-5785	89	11	spaces	space	NOUN
ejpam-5785	89	12	and	and	CCONJ
ejpam-5785	89	13	examined	examine	VERB
ejpam-5785	89	14	various	various	ADJ
ejpam-5785	89	15	topological	topological	ADJ
ejpam-5785	89	16	characteristics	characteristic	NOUN
ejpam-5785	89	17	associated	associate	VERB
ejpam-5785	89	18	with	with	ADP
ejpam-5785	89	19	this	this	DET
ejpam-5785	89	20	concept	concept	NOUN
ejpam-5785	89	21	.	.	PUNCT
ejpam-5785	90	1	a.	a.	PROPN
ejpam-5785	90	2	bataihah	bataihah	PROPN
ejpam-5785	90	3	,	,	PUNCT
ejpam-5785	90	4	a.	a.	NOUN
ejpam-5785	90	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	90	6	/	/	SYM
ejpam-5785	90	7	eur	eur	PROPN
ejpam-5785	90	8	.	.	PUNCT
ejpam-5785	91	1	j.	j.	PROPN
ejpam-5785	91	2	pure	pure	PROPN
ejpam-5785	91	3	appl	appl	PROPN
ejpam-5785	91	4	.	.	PROPN
ejpam-5785	91	5	math	math	PROPN
ejpam-5785	91	6	,	,	PUNCT
ejpam-5785	91	7	18	18	NUM
ejpam-5785	91	8	(	(	PUNCT
ejpam-5785	91	9	1	1	NUM
ejpam-5785	91	10	)	)	PUNCT
ejpam-5785	91	11	(	(	PUNCT
ejpam-5785	91	12	2025	2025	NUM
ejpam-5785	91	13	)	)	PUNCT
ejpam-5785	91	14	,	,	PUNCT
ejpam-5785	91	15	5785	5785	NUM
ejpam-5785	91	16	5	5	NUM
ejpam-5785	91	17	of	of	ADP
ejpam-5785	91	18	15	15	NUM
ejpam-5785	91	19	definition	definition	NOUN
ejpam-5785	91	20	7	7	NUM
ejpam-5785	91	21	.	.	PUNCT
ejpam-5785	92	1	[	[	X
ejpam-5785	92	2	15	15	NUM
ejpam-5785	92	3	]	]	X
ejpam-5785	92	4	a	a	DET
ejpam-5785	92	5	7	7	NUM
ejpam-5785	92	6	-	-	PUNCT
ejpam-5785	92	7	tuple	tuple	NOUN
ejpam-5785	92	8	(	(	PUNCT
ejpam-5785	92	9	x	x	NOUN
ejpam-5785	92	10	,	,	PUNCT
ejpam-5785	92	11	h	h	NOUN
ejpam-5785	92	12	,	,	PUNCT
ejpam-5785	92	13	j	j	PROPN
ejpam-5785	92	14	,	,	PUNCT
ejpam-5785	92	15	k	k	PROPN
ejpam-5785	92	16	,	,	PUNCT
ejpam-5785	92	17	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	92	18	)	)	PUNCT
ejpam-5785	92	19	is	be	AUX
ejpam-5785	92	20	defined	define	VERB
ejpam-5785	92	21	as	as	ADP
ejpam-5785	92	22	a	a	DET
ejpam-5785	92	23	neutrophic	neutrophic	ADJ
ejpam-5785	92	24	fuzzy	fuzzy	ADJ
ejpam-5785	92	25	metric	metric	ADJ
ejpam-5785	92	26	space	space	NOUN
ejpam-5785	92	27	(	(	PUNCT
ejpam-5785	92	28	nfms	nfms	PROPN
ejpam-5785	92	29	)	)	PUNCT
ejpam-5785	92	30	if	if	SCONJ
ejpam-5785	92	31	x	x	PRON
ejpam-5785	92	32	represents	represent	VERB
ejpam-5785	92	33	an	an	DET
ejpam-5785	92	34	arbitrary	arbitrary	ADJ
ejpam-5785	92	35	set	set	NOUN
ejpam-5785	92	36	,	,	PUNCT
ejpam-5785	92	37	⊙	⊙	PROPN
ejpam-5785	92	38	denotes	denote	VERB
ejpam-5785	92	39	a	a	DET
ejpam-5785	92	40	continuous	continuous	ADJ
ejpam-5785	92	41	t	t	NOUN
ejpam-5785	92	42	-	-	PUNCT
ejpam-5785	92	43	norm	norm	NOUN
ejpam-5785	92	44	,	,	PUNCT
ejpam-5785	92	45	⊕	⊕	PROPN
ejpam-5785	92	46	signifies	signify	VERB
ejpam-5785	92	47	a	a	DET
ejpam-5785	92	48	continuous	continuous	ADJ
ejpam-5785	92	49	t	t	NOUN
ejpam-5785	92	50	-	-	PUNCT
ejpam-5785	92	51	conorm	conorm	NOUN
ejpam-5785	92	52	,	,	PUNCT
ejpam-5785	92	53	and	and	CCONJ
ejpam-5785	92	54	the	the	DET
ejpam-5785	92	55	fuzzy	fuzzy	ADJ
ejpam-5785	92	56	sets	set	VERB
ejpam-5785	92	57	h	h	NOUN
ejpam-5785	92	58	,	,	PUNCT
ejpam-5785	92	59	j	j	PROPN
ejpam-5785	92	60	,	,	PUNCT
ejpam-5785	92	61	k	k	PROPN
ejpam-5785	92	62	,	,	PUNCT
ejpam-5785	92	63	and	and	CCONJ
ejpam-5785	92	64	l	l	NOUN
ejpam-5785	92	65	are	be	AUX
ejpam-5785	92	66	defined	define	VERB
ejpam-5785	92	67	on	on	ADP
ejpam-5785	92	68	x	x	SYM
ejpam-5785	92	69	2	2	NUM
ejpam-5785	92	70	×	×	NOUN
ejpam-5785	92	71	(	(	PUNCT
ejpam-5785	92	72	0,+∞	0,+∞	NUM
ejpam-5785	92	73	)	)	PUNCT
ejpam-5785	92	74	.	.	PUNCT
ejpam-5785	93	1	these	these	DET
ejpam-5785	93	2	sets	set	NOUN
ejpam-5785	93	3	must	must	AUX
ejpam-5785	93	4	satisfy	satisfy	VERB
ejpam-5785	93	5	specific	specific	ADJ
ejpam-5785	93	6	conditions	condition	NOUN
ejpam-5785	93	7	for	for	ADP
ejpam-5785	93	8	all	all	DET
ejpam-5785	93	9	ξ	ξ	PROPN
ejpam-5785	93	10	,	,	PUNCT
ejpam-5785	93	11	ω	ω	PROPN
ejpam-5785	93	12	,	,	PUNCT
ejpam-5785	93	13	c	c	PROPN
ejpam-5785	93	14	∈	∈	PROPN
ejpam-5785	93	15	x	x	X
ejpam-5785	93	16	and	and	CCONJ
ejpam-5785	93	17	for	for	ADP
ejpam-5785	93	18	λ	λ	PROPN
ejpam-5785	93	19	,	,	PUNCT
ejpam-5785	93	20	ρ	ρ	PROPN
ejpam-5785	93	21	>	>	X
ejpam-5785	93	22	0	0	NUM
ejpam-5785	93	23	.	.	PUNCT
ejpam-5785	94	1	(	(	PUNCT
ejpam-5785	94	2	i	i	NOUN
ejpam-5785	94	3	)	)	PUNCT
ejpam-5785	94	4	0	0	NUM
ejpam-5785	95	1	≤	≤	NUM
ejpam-5785	95	2	h(ξ	h(ξ	PROPN
ejpam-5785	95	3	,	,	PUNCT
ejpam-5785	95	4	ω	ω	PROPN
ejpam-5785	95	5	,	,	PUNCT
ejpam-5785	95	6	λ	λ	NOUN
ejpam-5785	95	7	)	)	PUNCT
ejpam-5785	95	8	≤	≤	NUM
ejpam-5785	95	9	1	1	NUM
ejpam-5785	95	10	,	,	PUNCT
ejpam-5785	95	11	0	0	NUM
ejpam-5785	95	12	≤	≤	NUM
ejpam-5785	95	13	j	j	X
ejpam-5785	95	14	(	(	PUNCT
ejpam-5785	95	15	ξ	ξ	PROPN
ejpam-5785	95	16	,	,	PUNCT
ejpam-5785	95	17	ω	ω	PROPN
ejpam-5785	95	18	,	,	PUNCT
ejpam-5785	95	19	λ	λ	NOUN
ejpam-5785	95	20	)	)	PUNCT
ejpam-5785	95	21	≤	≤	NUM
ejpam-5785	95	22	1	1	NUM
ejpam-5785	95	23	,	,	PUNCT
ejpam-5785	95	24	0	0	NUM
ejpam-5785	95	25	≤	≤	NOUN
ejpam-5785	95	26	k(ξ	k(ξ	ADJ
ejpam-5785	95	27	,	,	PUNCT
ejpam-5785	95	28	ω	ω	PROPN
ejpam-5785	95	29	,	,	PUNCT
ejpam-5785	95	30	λ	λ	NOUN
ejpam-5785	95	31	)	)	PUNCT
ejpam-5785	95	32	≤	≤	NUM
ejpam-5785	95	33	1	1	NUM
ejpam-5785	95	34	,	,	PUNCT
ejpam-5785	95	35	0	0	NUM
ejpam-5785	95	36	≤	≤	NUM
ejpam-5785	95	37	l(ξ	l(ξ	PROPN
ejpam-5785	95	38	,	,	PUNCT
ejpam-5785	95	39	ω	ω	PROPN
ejpam-5785	95	40	,	,	PUNCT
ejpam-5785	95	41	λ	λ	NOUN
ejpam-5785	95	42	)	)	PUNCT
ejpam-5785	95	43	≤	≤	NUM
ejpam-5785	95	44	1	1	NUM
ejpam-5785	95	45	,	,	PUNCT
ejpam-5785	95	46	(	(	PUNCT
ejpam-5785	95	47	ii	ii	NOUN
ejpam-5785	95	48	)	)	PUNCT
ejpam-5785	95	49	0	0	NUM
ejpam-5785	96	1	≤	≤	NUM
ejpam-5785	96	2	h(ξ	h(ξ	PROPN
ejpam-5785	96	3	,	,	PUNCT
ejpam-5785	96	4	ω	ω	PROPN
ejpam-5785	96	5	,	,	PUNCT
ejpam-5785	96	6	λ	λ	NOUN
ejpam-5785	96	7	)	)	PUNCT
ejpam-5785	96	8	+	+	NUM
ejpam-5785	96	9	j	j	PROPN
ejpam-5785	96	10	(	(	PUNCT
ejpam-5785	96	11	ξ	ξ	PROPN
ejpam-5785	96	12	,	,	PUNCT
ejpam-5785	96	13	ω	ω	PROPN
ejpam-5785	96	14	,	,	PUNCT
ejpam-5785	96	15	λ	λ	NOUN
ejpam-5785	96	16	)	)	PUNCT
ejpam-5785	96	17	+	+	PROPN
ejpam-5785	96	18	k(ξ	k(ξ	ADJ
ejpam-5785	96	19	,	,	PUNCT
ejpam-5785	96	20	ω	ω	PROPN
ejpam-5785	96	21	,	,	PUNCT
ejpam-5785	96	22	λ	λ	NOUN
ejpam-5785	96	23	)	)	PUNCT
ejpam-5785	96	24	+	+	CCONJ
ejpam-5785	96	25	l(ξ	l(ξ	PROPN
ejpam-5785	96	26	,	,	PUNCT
ejpam-5785	96	27	ω	ω	NOUN
ejpam-5785	96	28	,	,	PUNCT
ejpam-5785	96	29	λ	λ	NOUN
ejpam-5785	96	30	)	)	PUNCT
ejpam-5785	96	31	≤	≤	NUM
ejpam-5785	96	32	4	4	NUM
ejpam-5785	96	33	,	,	PUNCT
ejpam-5785	96	34	(	(	PUNCT
ejpam-5785	96	35	iii	iii	X
ejpam-5785	96	36	)	)	PUNCT
ejpam-5785	96	37	h(ξ	h(ξ	PROPN
ejpam-5785	96	38	,	,	PUNCT
ejpam-5785	96	39	ω	ω	PROPN
ejpam-5785	96	40	,	,	PUNCT
ejpam-5785	96	41	λ	λ	NOUN
ejpam-5785	96	42	)	)	PUNCT
ejpam-5785	96	43	=	=	SYM
ejpam-5785	96	44	1	1	NUM
ejpam-5785	96	45	,	,	PUNCT
ejpam-5785	96	46	(	(	PUNCT
ejpam-5785	96	47	iv	iv	X
ejpam-5785	96	48	)	)	PUNCT
ejpam-5785	96	49	h(ξ	h(ξ	PROPN
ejpam-5785	96	50	,	,	PUNCT
ejpam-5785	96	51	ω	ω	PROPN
ejpam-5785	96	52	,	,	PUNCT
ejpam-5785	96	53	λ	λ	NOUN
ejpam-5785	96	54	)	)	PUNCT
ejpam-5785	96	55	=	=	SYM
ejpam-5785	96	56	h(ω	h(ω	PROPN
ejpam-5785	96	57	,	,	PUNCT
ejpam-5785	96	58	ξ	ξ	PROPN
ejpam-5785	96	59	,	,	PUNCT
ejpam-5785	96	60	λ	λ	NOUN
ejpam-5785	96	61	)	)	PUNCT
ejpam-5785	96	62	,	,	PUNCT
ejpam-5785	96	63	(	(	PUNCT
ejpam-5785	96	64	v	v	NOUN
ejpam-5785	96	65	)	)	PUNCT
ejpam-5785	96	66	h(ξ	h(ξ	PROPN
ejpam-5785	96	67	,	,	PUNCT
ejpam-5785	96	68	ω	ω	PROPN
ejpam-5785	96	69	,	,	PUNCT
ejpam-5785	96	70	λ)⊙h(ω	λ)⊙h(ω	PROPN
ejpam-5785	96	71	,	,	PUNCT
ejpam-5785	96	72	c	c	PROPN
ejpam-5785	96	73	,	,	PUNCT
ejpam-5785	96	74	ρ	ρ	NOUN
ejpam-5785	96	75	)	)	PUNCT
ejpam-5785	96	76	≤	≤	PUNCT
ejpam-5785	96	77	h(ξ	h(ξ	PROPN
ejpam-5785	96	78	,	,	PUNCT
ejpam-5785	96	79	c	c	NOUN
ejpam-5785	96	80	,	,	PUNCT
ejpam-5785	96	81	λ+	λ+	VERB
ejpam-5785	96	82	ρ	ρ	NOUN
ejpam-5785	96	83	)	)	PUNCT
ejpam-5785	96	84	,	,	PUNCT
ejpam-5785	96	85	for	for	ADP
ejpam-5785	96	86	ρ	ρ	PROPN
ejpam-5785	96	87	,	,	PUNCT
ejpam-5785	96	88	λ	λ	X
ejpam-5785	96	89	>	>	X
ejpam-5785	96	90	0	0	PUNCT
ejpam-5785	96	91	(	(	PUNCT
ejpam-5785	96	92	vi	vi	NOUN
ejpam-5785	96	93	)	)	PUNCT
ejpam-5785	96	94	h(ξ	h(ξ	PROPN
ejpam-5785	96	95	,	,	PUNCT
ejpam-5785	96	96	ω	ω	PROPN
ejpam-5785	96	97	,	,	PUNCT
ejpam-5785	96	98	·	·	PUNCT
ejpam-5785	96	99	)	)	PUNCT
ejpam-5785	96	100	:	:	PUNCT
ejpam-5785	97	1	r	r	X
ejpam-5785	97	2	→	→	PUNCT
ejpam-5785	97	3	i	i	PRON
ejpam-5785	97	4	is	be	AUX
ejpam-5785	98	1	continuous	continuous	ADJ
ejpam-5785	98	2	(	(	PUNCT
ejpam-5785	98	3	vii	vii	PROPN
ejpam-5785	98	4	)	)	PUNCT
ejpam-5785	98	5	lim	lim	PROPN
ejpam-5785	98	6	λ→+∞	λ→+∞	PROPN
ejpam-5785	98	7	h(ξ	h(ξ	PROPN
ejpam-5785	98	8	,	,	PUNCT
ejpam-5785	98	9	ω	ω	PROPN
ejpam-5785	98	10	,	,	PUNCT
ejpam-5785	98	11	λ	λ	NOUN
ejpam-5785	98	12	)	)	PUNCT
ejpam-5785	98	13	=	=	SYM
ejpam-5785	98	14	1	1	NUM
ejpam-5785	98	15	(	(	PUNCT
ejpam-5785	98	16	viii	viii	NOUN
ejpam-5785	98	17	)	)	PUNCT
ejpam-5785	98	18	j	j	PROPN
ejpam-5785	98	19	(	(	PUNCT
ejpam-5785	98	20	ξ	ξ	PROPN
ejpam-5785	98	21	,	,	PUNCT
ejpam-5785	98	22	ω	ω	PROPN
ejpam-5785	98	23	,	,	PUNCT
ejpam-5785	98	24	λ	λ	NOUN
ejpam-5785	98	25	)	)	PUNCT
ejpam-5785	98	26	=	=	SYM
ejpam-5785	98	27	1	1	NUM
ejpam-5785	98	28	,	,	PUNCT
ejpam-5785	98	29	iff	iff	PROPN
ejpam-5785	98	30	ξ	ξ	PROPN
ejpam-5785	98	31	=	=	SYM
ejpam-5785	98	32	ω	ω	PROPN
ejpam-5785	98	33	(	(	PUNCT
ejpam-5785	98	34	ix	ix	PROPN
ejpam-5785	98	35	)	)	PUNCT
ejpam-5785	98	36	j	j	PROPN
ejpam-5785	98	37	(	(	PUNCT
ejpam-5785	98	38	ξ	ξ	PROPN
ejpam-5785	98	39	,	,	PUNCT
ejpam-5785	98	40	ω	ω	PROPN
ejpam-5785	98	41	,	,	PUNCT
ejpam-5785	98	42	λ	λ	NOUN
ejpam-5785	98	43	)	)	PUNCT
ejpam-5785	98	44	=	=	SYM
ejpam-5785	99	1	j	j	PROPN
ejpam-5785	99	2	(	(	PUNCT
ejpam-5785	99	3	ω	ω	PROPN
ejpam-5785	99	4	,	,	PUNCT
ejpam-5785	99	5	ξ	ξ	PROPN
ejpam-5785	99	6	,	,	PUNCT
ejpam-5785	99	7	λ	λ	NOUN
ejpam-5785	99	8	)	)	PUNCT
ejpam-5785	99	9	,	,	PUNCT
ejpam-5785	99	10	for	for	ADP
ejpam-5785	99	11	λ	λ	PROPN
ejpam-5785	99	12	>	>	X
ejpam-5785	99	13	0	0	PUNCT
ejpam-5785	99	14	(	(	PUNCT
ejpam-5785	99	15	x	x	X
ejpam-5785	99	16	)	)	PUNCT
ejpam-5785	99	17	j	j	PROPN
ejpam-5785	99	18	(	(	PUNCT
ejpam-5785	99	19	ξ	ξ	PROPN
ejpam-5785	99	20	,	,	PUNCT
ejpam-5785	99	21	ω	ω	PROPN
ejpam-5785	99	22	,	,	PUNCT
ejpam-5785	99	23	λ)⊙	λ)⊙	ADJ
ejpam-5785	99	24	j	j	PROPN
ejpam-5785	99	25	(	(	PUNCT
ejpam-5785	99	26	ω	ω	PROPN
ejpam-5785	99	27	,	,	PUNCT
ejpam-5785	99	28	c	c	X
ejpam-5785	99	29	,	,	PUNCT
ejpam-5785	99	30	ρ	ρ	NOUN
ejpam-5785	99	31	)	)	PUNCT
ejpam-5785	99	32	≤	≤	NOUN
ejpam-5785	99	33	j	j	PROPN
ejpam-5785	99	34	(	(	PUNCT
ejpam-5785	99	35	ξ	ξ	PROPN
ejpam-5785	99	36	,	,	PUNCT
ejpam-5785	99	37	c	c	NOUN
ejpam-5785	99	38	,	,	PUNCT
ejpam-5785	99	39	λ+	λ+	VERB
ejpam-5785	99	40	ρ	ρ	NOUN
ejpam-5785	99	41	)	)	PUNCT
ejpam-5785	99	42	,	,	PUNCT
ejpam-5785	99	43	(	(	PUNCT
ejpam-5785	99	44	xi	xi	PROPN
ejpam-5785	99	45	)	)	PUNCT
ejpam-5785	99	46	j	j	PROPN
ejpam-5785	99	47	(	(	PUNCT
ejpam-5785	99	48	ξ	ξ	PROPN
ejpam-5785	99	49	,	,	PUNCT
ejpam-5785	99	50	ω	ω	PROPN
ejpam-5785	99	51	,	,	PUNCT
ejpam-5785	99	52	·	·	PUNCT
ejpam-5785	99	53	)	)	PUNCT
ejpam-5785	99	54	:	:	PUNCT
ejpam-5785	100	1	r	r	X
ejpam-5785	100	2	→	→	PUNCT
ejpam-5785	100	3	i	i	PRON
ejpam-5785	100	4	is	be	AUX
ejpam-5785	100	5	continuous	continuous	ADJ
ejpam-5785	100	6	(	(	PUNCT
ejpam-5785	100	7	xii	xii	NOUN
ejpam-5785	100	8	)	)	PUNCT
ejpam-5785	100	9	lim	lim	PROPN
ejpam-5785	101	1	λ→+∞	λ→+∞	PROPN
ejpam-5785	101	2	j	j	PROPN
ejpam-5785	101	3	(	(	PUNCT
ejpam-5785	101	4	ξ	ξ	PROPN
ejpam-5785	101	5	,	,	PUNCT
ejpam-5785	101	6	ω	ω	PROPN
ejpam-5785	101	7	,	,	PUNCT
ejpam-5785	101	8	λ	λ	NOUN
ejpam-5785	101	9	)	)	PUNCT
ejpam-5785	101	10	=	=	SYM
ejpam-5785	101	11	1	1	NUM
ejpam-5785	101	12	(	(	PUNCT
ejpam-5785	101	13	xiii	xiii	PROPN
ejpam-5785	101	14	)	)	PUNCT
ejpam-5785	101	15	k(ξ	k(ξ	PROPN
ejpam-5785	101	16	,	,	PUNCT
ejpam-5785	101	17	ω	ω	PROPN
ejpam-5785	101	18	,	,	PUNCT
ejpam-5785	101	19	λ	λ	NOUN
ejpam-5785	101	20	)	)	PUNCT
ejpam-5785	101	21	=	=	SYM
ejpam-5785	101	22	0	0	NUM
ejpam-5785	101	23	,	,	PUNCT
ejpam-5785	101	24	iff	iff	PROPN
ejpam-5785	101	25	ξ	ξ	PROPN
ejpam-5785	101	26	=	=	SYM
ejpam-5785	101	27	ω	ω	PROPN
ejpam-5785	101	28	(	(	PUNCT
ejpam-5785	101	29	xiv	xiv	PROPN
ejpam-5785	101	30	)	)	PUNCT
ejpam-5785	101	31	k(ξ	k(ξ	PROPN
ejpam-5785	101	32	,	,	PUNCT
ejpam-5785	101	33	ω	ω	PROPN
ejpam-5785	101	34	,	,	PUNCT
ejpam-5785	101	35	λ	λ	NOUN
ejpam-5785	101	36	)	)	PUNCT
ejpam-5785	101	37	=	=	SYM
ejpam-5785	101	38	k(ω	k(ω	PROPN
ejpam-5785	101	39	,	,	PUNCT
ejpam-5785	101	40	ξ	ξ	PROPN
ejpam-5785	101	41	,	,	PUNCT
ejpam-5785	101	42	λ	λ	NOUN
ejpam-5785	101	43	)	)	PUNCT
ejpam-5785	101	44	,	,	PUNCT
ejpam-5785	101	45	(	(	PUNCT
ejpam-5785	101	46	xv	xv	PROPN
ejpam-5785	101	47	)	)	PUNCT
ejpam-5785	101	48	k(ξ	k(ξ	PROPN
ejpam-5785	101	49	,	,	PUNCT
ejpam-5785	101	50	ω	ω	PROPN
ejpam-5785	101	51	,	,	PUNCT
ejpam-5785	101	52	λ)⊕k(ω	λ)⊕k(ω	NOUN
ejpam-5785	101	53	,	,	PUNCT
ejpam-5785	101	54	c	c	X
ejpam-5785	101	55	,	,	PUNCT
ejpam-5785	101	56	ρ	ρ	PROPN
ejpam-5785	101	57	)	)	PUNCT
ejpam-5785	101	58	≥	≥	NOUN
ejpam-5785	101	59	k(ξ	k(ξ	ADJ
ejpam-5785	101	60	,	,	PUNCT
ejpam-5785	101	61	c	c	PROPN
ejpam-5785	101	62	,	,	PUNCT
ejpam-5785	101	63	λ+	λ+	VERB
ejpam-5785	101	64	ρ	ρ	NOUN
ejpam-5785	101	65	)	)	PUNCT
ejpam-5785	101	66	,	,	PUNCT
ejpam-5785	101	67	(	(	PUNCT
ejpam-5785	101	68	xvi	xvi	X
ejpam-5785	101	69	)	)	PUNCT
ejpam-5785	101	70	k(ξ	k(ξ	PROPN
ejpam-5785	101	71	,	,	PUNCT
ejpam-5785	101	72	ω	ω	PROPN
ejpam-5785	101	73	,	,	PUNCT
ejpam-5785	101	74	·	·	PUNCT
ejpam-5785	101	75	)	)	PUNCT
ejpam-5785	101	76	:	:	PUNCT
ejpam-5785	102	1	r	r	X
ejpam-5785	102	2	→	→	PUNCT
ejpam-5785	102	3	i	i	PRON
ejpam-5785	102	4	is	be	AUX
ejpam-5785	103	1	continuous	continuous	ADJ
ejpam-5785	103	2	(	(	PUNCT
ejpam-5785	103	3	xvii	xvii	PROPN
ejpam-5785	103	4	)	)	PUNCT
ejpam-5785	103	5	lim	lim	PROPN
ejpam-5785	103	6	λ→+∞	λ→+∞	PROPN
ejpam-5785	103	7	k(ξ	k(ξ	PROPN
ejpam-5785	103	8	,	,	PUNCT
ejpam-5785	103	9	ω	ω	PROPN
ejpam-5785	103	10	,	,	PUNCT
ejpam-5785	103	11	λ	λ	NOUN
ejpam-5785	103	12	)	)	PUNCT
ejpam-5785	103	13	=	=	SYM
ejpam-5785	103	14	0	0	PUNCT
ejpam-5785	103	15	(	(	PUNCT
ejpam-5785	103	16	xviii	xviii	PROPN
ejpam-5785	103	17	)	)	PUNCT
ejpam-5785	103	18	l(ξ	l(ξ	PROPN
ejpam-5785	103	19	,	,	PUNCT
ejpam-5785	103	20	ω	ω	PROPN
ejpam-5785	103	21	,	,	PUNCT
ejpam-5785	103	22	λ	λ	NOUN
ejpam-5785	103	23	)	)	PUNCT
ejpam-5785	103	24	=	=	SYM
ejpam-5785	103	25	0	0	NUM
ejpam-5785	103	26	,	,	PUNCT
ejpam-5785	103	27	iff	iff	PROPN
ejpam-5785	103	28	ξ	ξ	PROPN
ejpam-5785	103	29	=	=	SYM
ejpam-5785	103	30	ω	ω	PROPN
ejpam-5785	103	31	(	(	PUNCT
ejpam-5785	103	32	xix	xix	NOUN
ejpam-5785	103	33	)	)	PUNCT
ejpam-5785	103	34	l(ξ	l(ξ	PROPN
ejpam-5785	103	35	,	,	PUNCT
ejpam-5785	103	36	ω	ω	PROPN
ejpam-5785	103	37	,	,	PUNCT
ejpam-5785	103	38	λ	λ	NOUN
ejpam-5785	103	39	)	)	PUNCT
ejpam-5785	103	40	=	=	SYM
ejpam-5785	103	41	l(ω	l(ω	PROPN
ejpam-5785	103	42	,	,	PUNCT
ejpam-5785	103	43	ξ	ξ	PROPN
ejpam-5785	103	44	,	,	PUNCT
ejpam-5785	103	45	λ	λ	NOUN
ejpam-5785	103	46	)	)	PUNCT
ejpam-5785	103	47	,	,	PUNCT
ejpam-5785	103	48	(	(	PUNCT
ejpam-5785	103	49	xx	xx	X
ejpam-5785	103	50	)	)	PUNCT
ejpam-5785	103	51	l(ξ	l(ξ	PROPN
ejpam-5785	103	52	,	,	PUNCT
ejpam-5785	103	53	ω	ω	PROPN
ejpam-5785	103	54	,	,	PUNCT
ejpam-5785	103	55	λ)⊕	λ)⊕	PROPN
ejpam-5785	103	56	l(ω	l(ω	PROPN
ejpam-5785	103	57	,	,	PUNCT
ejpam-5785	103	58	c	c	X
ejpam-5785	103	59	,	,	PUNCT
ejpam-5785	103	60	ρ	ρ	PROPN
ejpam-5785	103	61	)	)	PUNCT
ejpam-5785	103	62	≥	≥	NOUN
ejpam-5785	103	63	l(ξ	l(ξ	NOUN
ejpam-5785	103	64	,	,	PUNCT
ejpam-5785	103	65	c	c	NOUN
ejpam-5785	103	66	,	,	PUNCT
ejpam-5785	103	67	λ+	λ+	VERB
ejpam-5785	103	68	ρ	ρ	NOUN
ejpam-5785	103	69	)	)	PUNCT
ejpam-5785	103	70	,	,	PUNCT
ejpam-5785	103	71	(	(	PUNCT
ejpam-5785	103	72	xxi	xxi	ADJ
ejpam-5785	103	73	)	)	PUNCT
ejpam-5785	103	74	l(ξ	l(ξ	PROPN
ejpam-5785	103	75	,	,	PUNCT
ejpam-5785	103	76	ω	ω	NOUN
ejpam-5785	103	77	,	,	PUNCT
ejpam-5785	103	78	·	·	PUNCT
ejpam-5785	103	79	)	)	PUNCT
ejpam-5785	103	80	:	:	PUNCT
ejpam-5785	104	1	r	r	X
ejpam-5785	104	2	→	→	PUNCT
ejpam-5785	104	3	i	i	PRON
ejpam-5785	104	4	is	be	AUX
ejpam-5785	104	5	continuous	continuous	ADJ
ejpam-5785	104	6	(	(	PUNCT
ejpam-5785	104	7	xxii	xxii	PROPN
ejpam-5785	104	8	)	)	PUNCT
ejpam-5785	105	1	lim	lim	PROPN
ejpam-5785	105	2	λ→+∞	λ→+∞	PROPN
ejpam-5785	105	3	l(ξ	l(ξ	PROPN
ejpam-5785	105	4	,	,	PUNCT
ejpam-5785	105	5	ω	ω	PROPN
ejpam-5785	105	6	,	,	PUNCT
ejpam-5785	105	7	λ	λ	NOUN
ejpam-5785	105	8	)	)	PUNCT
ejpam-5785	105	9	=	=	SYM
ejpam-5785	105	10	0	0	PUNCT
ejpam-5785	105	11	(	(	PUNCT
ejpam-5785	105	12	xxiii	xxiii	PROPN
ejpam-5785	105	13	)	)	PUNCT
ejpam-5785	105	14	if	if	SCONJ
ejpam-5785	105	15	λ	λ	X
ejpam-5785	105	16	≤	≤	NOUN
ejpam-5785	105	17	0	0	NUM
ejpam-5785	105	18	,	,	PUNCT
ejpam-5785	105	19	then	then	ADV
ejpam-5785	105	20	h(ξ	h(ξ	PROPN
ejpam-5785	105	21	,	,	PUNCT
ejpam-5785	105	22	ω	ω	PROPN
ejpam-5785	105	23	,	,	PUNCT
ejpam-5785	105	24	λ	λ	NOUN
ejpam-5785	105	25	)	)	PUNCT
ejpam-5785	105	26	=	=	SYM
ejpam-5785	105	27	0	0	NUM
ejpam-5785	105	28	,	,	PUNCT
ejpam-5785	105	29	k(ξ	k(ξ	X
ejpam-5785	105	30	,	,	PUNCT
ejpam-5785	105	31	ω	ω	PROPN
ejpam-5785	105	32	,	,	PUNCT
ejpam-5785	105	33	λ	λ	NOUN
ejpam-5785	105	34	)	)	PUNCT
ejpam-5785	105	35	=	=	SYM
ejpam-5785	106	1	l(ξ	l(ξ	PROPN
ejpam-5785	106	2	,	,	PUNCT
ejpam-5785	106	3	ω	ω	PROPN
ejpam-5785	106	4	,	,	PUNCT
ejpam-5785	106	5	λ	λ	NOUN
ejpam-5785	106	6	)	)	PUNCT
ejpam-5785	106	7	=	=	SYM
ejpam-5785	106	8	1	1	NUM
ejpam-5785	106	9	a.	a.	NOUN
ejpam-5785	106	10	bataihah	bataihah	PROPN
ejpam-5785	106	11	,	,	PUNCT
ejpam-5785	106	12	a.	a.	NOUN
ejpam-5785	106	13	hazaymeh	hazaymeh	NOUN
ejpam-5785	106	14	/	/	SYM
ejpam-5785	106	15	eur	eur	PROPN
ejpam-5785	106	16	.	.	PUNCT
ejpam-5785	107	1	j.	j.	PROPN
ejpam-5785	107	2	pure	pure	PROPN
ejpam-5785	107	3	appl	appl	PROPN
ejpam-5785	107	4	.	.	PROPN
ejpam-5785	107	5	math	math	PROPN
ejpam-5785	107	6	,	,	PUNCT
ejpam-5785	107	7	18	18	NUM
ejpam-5785	107	8	(	(	PUNCT
ejpam-5785	107	9	1	1	NUM
ejpam-5785	107	10	)	)	PUNCT
ejpam-5785	107	11	(	(	PUNCT
ejpam-5785	107	12	2025	2025	NUM
ejpam-5785	107	13	)	)	PUNCT
ejpam-5785	107	14	,	,	PUNCT
ejpam-5785	107	15	5785	5785	NUM
ejpam-5785	107	16	6	6	NUM
ejpam-5785	107	17	of	of	ADP
ejpam-5785	107	18	15	15	NUM
ejpam-5785	107	19	in	in	ADP
ejpam-5785	107	20	this	this	DET
ejpam-5785	107	21	context	context	NOUN
ejpam-5785	107	22	,	,	PUNCT
ejpam-5785	107	23	h(ξ	h(ξ	PROPN
ejpam-5785	107	24	,	,	PUNCT
ejpam-5785	107	25	ω	ω	PROPN
ejpam-5785	107	26	,	,	PUNCT
ejpam-5785	107	27	λ	λ	X
ejpam-5785	107	28	)	)	PUNCT
ejpam-5785	107	29	indicates	indicate	VERB
ejpam-5785	107	30	the	the	DET
ejpam-5785	107	31	certainty	certainty	NOUN
ejpam-5785	107	32	that	that	SCONJ
ejpam-5785	107	33	the	the	DET
ejpam-5785	107	34	distance	distance	NOUN
ejpam-5785	107	35	between	between	ADP
ejpam-5785	107	36	ξ	ξ	PROPN
ejpam-5785	107	37	and	and	CCONJ
ejpam-5785	107	38	ω	ω	PROPN
ejpam-5785	107	39	is	be	AUX
ejpam-5785	107	40	less	less	ADJ
ejpam-5785	107	41	than	than	ADP
ejpam-5785	107	42	λ	λ	PROPN
ejpam-5785	107	43	.	.	PUNCT
ejpam-5785	108	1	meanwhile	meanwhile	ADV
ejpam-5785	108	2	,	,	PUNCT
ejpam-5785	108	3	j	j	PROPN
ejpam-5785	108	4	(	(	PUNCT
ejpam-5785	108	5	ξ	ξ	PROPN
ejpam-5785	108	6	,	,	PUNCT
ejpam-5785	108	7	ω	ω	PROPN
ejpam-5785	108	8	,	,	PUNCT
ejpam-5785	108	9	λ	λ	NOUN
ejpam-5785	108	10	)	)	PUNCT
ejpam-5785	108	11	signifies	signify	VERB
ejpam-5785	108	12	the	the	DET
ejpam-5785	108	13	level	level	NOUN
ejpam-5785	108	14	of	of	ADP
ejpam-5785	108	15	proximity	proximity	NOUN
ejpam-5785	108	16	,	,	PUNCT
ejpam-5785	108	17	k(ξ	k(ξ	PROPN
ejpam-5785	108	18	,	,	PUNCT
ejpam-5785	108	19	ω	ω	PROPN
ejpam-5785	108	20	,	,	PUNCT
ejpam-5785	108	21	λ	λ	NOUN
ejpam-5785	108	22	)	)	PUNCT
ejpam-5785	108	23	represents	represent	VERB
ejpam-5785	108	24	the	the	DET
ejpam-5785	108	25	degree	degree	NOUN
ejpam-5785	108	26	of	of	ADP
ejpam-5785	108	27	neutrality	neutrality	NOUN
ejpam-5785	108	28	,	,	PUNCT
ejpam-5785	108	29	and	and	CCONJ
ejpam-5785	108	30	l(ξ	l(ξ	PROPN
ejpam-5785	108	31	,	,	PUNCT
ejpam-5785	108	32	ω	ω	PROPN
ejpam-5785	108	33	,	,	PUNCT
ejpam-5785	108	34	λ	λ	NOUN
ejpam-5785	108	35	)	)	PUNCT
ejpam-5785	108	36	reflects	reflect	VERB
ejpam-5785	108	37	the	the	DET
ejpam-5785	108	38	extent	extent	NOUN
ejpam-5785	108	39	of	of	ADP
ejpam-5785	108	40	non	non	ADJ
ejpam-5785	108	41	-	-	NOUN
ejpam-5785	108	42	proximity	proximity	NOUN
ejpam-5785	108	43	between	between	ADP
ejpam-5785	108	44	ξ	ξ	PROPN
ejpam-5785	108	45	and	and	CCONJ
ejpam-5785	108	46	ω	ω	PROPN
ejpam-5785	108	47	in	in	ADP
ejpam-5785	108	48	relation	relation	NOUN
ejpam-5785	108	49	to	to	ADP
ejpam-5785	108	50	λ	λ	PROPN
ejpam-5785	108	51	.	.	PUNCT
ejpam-5785	109	1	the	the	DET
ejpam-5785	109	2	convergence	convergence	NOUN
ejpam-5785	109	3	,	,	PUNCT
ejpam-5785	109	4	cauchyness	cauchyness	NOUN
ejpam-5785	109	5	,	,	PUNCT
ejpam-5785	109	6	completeness	completeness	NOUN
ejpam-5785	109	7	are	be	AUX
ejpam-5785	109	8	given	give	VERB
ejpam-5785	109	9	as	as	SCONJ
ejpam-5785	109	10	follows	follow	VERB
ejpam-5785	109	11	.	.	PUNCT
ejpam-5785	110	1	definition	definition	NOUN
ejpam-5785	110	2	8	8	NUM
ejpam-5785	110	3	.	.	PUNCT
ejpam-5785	111	1	[	[	X
ejpam-5785	111	2	15	15	NUM
ejpam-5785	111	3	]	]	X
ejpam-5785	111	4	let	let	NOUN
ejpam-5785	111	5	(	(	PUNCT
ejpam-5785	111	6	ξn	ξn	NOUN
ejpam-5785	111	7	)	)	PUNCT
ejpam-5785	111	8	be	be	AUX
ejpam-5785	111	9	a	a	DET
ejpam-5785	111	10	sequence	sequence	NOUN
ejpam-5785	111	11	in	in	ADP
ejpam-5785	111	12	a	a	DET
ejpam-5785	111	13	nfms	nfms	NOUN
ejpam-5785	111	14	(	(	PUNCT
ejpam-5785	111	15	x	x	X
ejpam-5785	111	16	,	,	PUNCT
ejpam-5785	111	17	h	h	NOUN
ejpam-5785	111	18	,	,	PUNCT
ejpam-5785	111	19	j	j	PROPN
ejpam-5785	111	20	,	,	PUNCT
ejpam-5785	111	21	k	k	PROPN
ejpam-5785	111	22	,	,	PUNCT
ejpam-5785	111	23	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	111	24	)	)	PUNCT
ejpam-5785	111	25	.	.	PUNCT
ejpam-5785	112	1	then	then	ADV
ejpam-5785	112	2	(	(	PUNCT
ejpam-5785	112	3	i	i	NOUN
ejpam-5785	112	4	)	)	PUNCT
ejpam-5785	112	5	(	(	PUNCT
ejpam-5785	112	6	ξn	ξn	NOUN
ejpam-5785	112	7	)	)	PUNCT
ejpam-5785	112	8	converges	converge	NOUN
ejpam-5785	112	9	to	to	ADP
ejpam-5785	112	10	ξ	ξ	PROPN
ejpam-5785	112	11	∈	∈	PROPN
ejpam-5785	112	12	x	x	SYM
ejpam-5785	112	13	iff	iff	NOUN
ejpam-5785	112	14	for	for	ADP
ejpam-5785	112	15	a	a	DET
ejpam-5785	112	16	given	give	VERB
ejpam-5785	112	17	ϵ	ϵ	PROPN
ejpam-5785	112	18	∈	∈	PROPN
ejpam-5785	112	19	(	(	PUNCT
ejpam-5785	112	20	0	0	NUM
ejpam-5785	112	21	,	,	PUNCT
ejpam-5785	112	22	1	1	NUM
ejpam-5785	112	23	)	)	PUNCT
ejpam-5785	112	24	,	,	PUNCT
ejpam-5785	112	25	λ	λ	X
ejpam-5785	112	26	>	>	X
ejpam-5785	112	27	0	0	PUNCT
ejpam-5785	113	1	there	there	PRON
ejpam-5785	113	2	is	be	VERB
ejpam-5785	113	3	n0	n0	NUM
ejpam-5785	113	4	∈	∈	PROPN
ejpam-5785	113	5	n	n	PRON
ejpam-5785	113	6	such	such	ADJ
ejpam-5785	113	7	that	that	PRON
ejpam-5785	113	8	for	for	ADP
ejpam-5785	113	9	each	each	DET
ejpam-5785	113	10	n	n	DET
ejpam-5785	113	11	≥	≥	NOUN
ejpam-5785	113	12	n0	n0	NUM
ejpam-5785	113	13	h(ξn	h(ξn	PROPN
ejpam-5785	113	14	,	,	PUNCT
ejpam-5785	113	15	ξ	ξ	PROPN
ejpam-5785	113	16	,	,	PUNCT
ejpam-5785	113	17	λ	λ	NOUN
ejpam-5785	113	18	)	)	PUNCT
ejpam-5785	113	19	>	>	X
ejpam-5785	113	20	1−	1−	NUM
ejpam-5785	113	21	ϵ	ϵ	X
ejpam-5785	113	22	,	,	PUNCT
ejpam-5785	113	23	j	j	PROPN
ejpam-5785	113	24	(	(	PUNCT
ejpam-5785	113	25	ξn	ξn	PROPN
ejpam-5785	113	26	,	,	PUNCT
ejpam-5785	113	27	ξ	ξ	PROPN
ejpam-5785	113	28	,	,	PUNCT
ejpam-5785	113	29	λ	λ	PROPN
ejpam-5785	113	30	)	)	PUNCT
ejpam-5785	113	31	>	>	X
ejpam-5785	113	32	1−	1−	NUM
ejpam-5785	113	33	ϵ	ϵ	NUM
ejpam-5785	113	34	,	,	PUNCT
ejpam-5785	113	35	k(ξn	k(ξn	PROPN
ejpam-5785	113	36	,	,	PUNCT
ejpam-5785	113	37	ξ	ξ	PROPN
ejpam-5785	113	38	,	,	PUNCT
ejpam-5785	113	39	λ	λ	NOUN
ejpam-5785	113	40	)	)	PUNCT
ejpam-5785	113	41	<	<	X
ejpam-5785	113	42	ϵ	ϵ	X
ejpam-5785	113	43	,	,	PUNCT
ejpam-5785	113	44	l(ξn	l(ξn	PROPN
ejpam-5785	113	45	,	,	PUNCT
ejpam-5785	113	46	ξ	ξ	PROPN
ejpam-5785	113	47	,	,	PUNCT
ejpam-5785	113	48	λ	λ	NOUN
ejpam-5785	113	49	)	)	PUNCT
ejpam-5785	113	50	<	<	X
ejpam-5785	113	51	ϵ	ϵ	X
ejpam-5785	113	52	i.e.	i.e.	X
ejpam-5785	113	53	,	,	PUNCT
ejpam-5785	113	54	lim	lim	PROPN
ejpam-5785	113	55	n→+∞	n→+∞	VERB
ejpam-5785	113	56	h(ξn	h(ξn	PROPN
ejpam-5785	113	57	,	,	PUNCT
ejpam-5785	113	58	ξ	ξ	PROPN
ejpam-5785	113	59	,	,	PUNCT
ejpam-5785	113	60	λ	λ	NOUN
ejpam-5785	113	61	)	)	PUNCT
ejpam-5785	113	62	=	=	SYM
ejpam-5785	113	63	1	1	NUM
ejpam-5785	113	64	,	,	PUNCT
ejpam-5785	113	65	lim	lim	PROPN
ejpam-5785	113	66	n→+∞	n→+∞	PROPN
ejpam-5785	113	67	j	j	PROPN
ejpam-5785	113	68	(	(	PUNCT
ejpam-5785	113	69	ξn	ξn	PROPN
ejpam-5785	113	70	,	,	PUNCT
ejpam-5785	113	71	ξ	ξ	PROPN
ejpam-5785	113	72	,	,	PUNCT
ejpam-5785	113	73	λ	λ	NOUN
ejpam-5785	113	74	)	)	PUNCT
ejpam-5785	113	75	=	=	SYM
ejpam-5785	113	76	1	1	NUM
ejpam-5785	113	77	,	,	PUNCT
ejpam-5785	113	78	lim	lim	PROPN
ejpam-5785	113	79	n→+∞	n→+∞	VERB
ejpam-5785	113	80	k(ξn	k(ξn	PROPN
ejpam-5785	113	81	,	,	PUNCT
ejpam-5785	113	82	ξ	ξ	PROPN
ejpam-5785	113	83	,	,	PUNCT
ejpam-5785	113	84	λ	λ	NOUN
ejpam-5785	113	85	)	)	PUNCT
ejpam-5785	113	86	=	=	SYM
ejpam-5785	113	87	0	0	PROPN
ejpam-5785	113	88	,	,	PUNCT
ejpam-5785	113	89	lim	lim	PROPN
ejpam-5785	113	90	n→+∞	n→+∞	PROPN
ejpam-5785	113	91	l(ξn	l(ξn	PROPN
ejpam-5785	113	92	,	,	PUNCT
ejpam-5785	113	93	ξ	ξ	PROPN
ejpam-5785	113	94	,	,	PUNCT
ejpam-5785	113	95	λ	λ	NOUN
ejpam-5785	113	96	)	)	PUNCT
ejpam-5785	113	97	=	=	SYM
ejpam-5785	113	98	0	0	NUM
ejpam-5785	113	99	(	(	PUNCT
ejpam-5785	113	100	ii	ii	NOUN
ejpam-5785	113	101	)	)	PUNCT
ejpam-5785	113	102	(	(	PUNCT
ejpam-5785	113	103	ξn	ξn	NOUN
ejpam-5785	113	104	)	)	PUNCT
ejpam-5785	113	105	is	be	AUX
ejpam-5785	113	106	called	call	VERB
ejpam-5785	113	107	cauchy	cauchy	PROPN
ejpam-5785	113	108	iff	iff	PROPN
ejpam-5785	113	109	for	for	ADP
ejpam-5785	113	110	a	a	DET
ejpam-5785	113	111	given	give	VERB
ejpam-5785	113	112	ϵ	ϵ	PROPN
ejpam-5785	113	113	∈	∈	PROPN
ejpam-5785	113	114	(	(	PUNCT
ejpam-5785	113	115	0	0	NUM
ejpam-5785	113	116	,	,	PUNCT
ejpam-5785	113	117	1	1	NUM
ejpam-5785	113	118	)	)	PUNCT
ejpam-5785	113	119	,	,	PUNCT
ejpam-5785	114	1	λ	λ	X
ejpam-5785	114	2	>	>	X
ejpam-5785	114	3	0	0	PUNCT
ejpam-5785	115	1	there	there	PRON
ejpam-5785	115	2	is	be	VERB
ejpam-5785	115	3	n0	n0	NUM
ejpam-5785	115	4	∈	∈	PROPN
ejpam-5785	115	5	n	n	PRON
ejpam-5785	115	6	such	such	ADJ
ejpam-5785	115	7	that	that	PRON
ejpam-5785	115	8	for	for	ADP
ejpam-5785	115	9	each	each	DET
ejpam-5785	115	10	n	n	CCONJ
ejpam-5785	115	11	,	,	PUNCT
ejpam-5785	115	12	m	m	PROPN
ejpam-5785	115	13	≥	≥	NOUN
ejpam-5785	115	14	n0	n0	X
ejpam-5785	115	15	h(ξn	h(ξn	PROPN
ejpam-5785	115	16	,	,	PUNCT
ejpam-5785	115	17	ξm	ξm	NOUN
ejpam-5785	115	18	,	,	PUNCT
ejpam-5785	115	19	λ	λ	PROPN
ejpam-5785	115	20	)	)	PUNCT
ejpam-5785	115	21	>	>	X
ejpam-5785	115	22	1−	1−	NUM
ejpam-5785	115	23	ϵ	ϵ	X
ejpam-5785	115	24	,	,	PUNCT
ejpam-5785	115	25	j	j	PROPN
ejpam-5785	115	26	(	(	PUNCT
ejpam-5785	115	27	ξn	ξn	PROPN
ejpam-5785	115	28	,	,	PUNCT
ejpam-5785	115	29	ξm	ξm	PROPN
ejpam-5785	115	30	,	,	PUNCT
ejpam-5785	115	31	λ	λ	PROPN
ejpam-5785	115	32	)	)	PUNCT
ejpam-5785	115	33	>	>	X
ejpam-5785	115	34	1−	1−	NUM
ejpam-5785	115	35	ϵ	ϵ	NUM
ejpam-5785	115	36	,	,	PUNCT
ejpam-5785	115	37	k(ξn	k(ξn	PROPN
ejpam-5785	115	38	,	,	PUNCT
ejpam-5785	115	39	ξm	ξm	PROPN
ejpam-5785	115	40	,	,	PUNCT
ejpam-5785	115	41	λ	λ	NOUN
ejpam-5785	115	42	)	)	PUNCT
ejpam-5785	115	43	<	<	X
ejpam-5785	115	44	ϵ	ϵ	X
ejpam-5785	115	45	,	,	PUNCT
ejpam-5785	115	46	l(ξn	l(ξn	PROPN
ejpam-5785	115	47	,	,	PUNCT
ejpam-5785	115	48	ξm	ξm	NOUN
ejpam-5785	115	49	,	,	PUNCT
ejpam-5785	115	50	λ	λ	NOUN
ejpam-5785	115	51	)	)	PUNCT
ejpam-5785	115	52	<	<	X
ejpam-5785	115	53	ϵ	ϵ	X
ejpam-5785	115	54	i.e.	i.e.	X
ejpam-5785	115	55	,	,	PUNCT
ejpam-5785	115	56	lim	lim	PROPN
ejpam-5785	115	57	n.m→+∞	n.m→+∞	VERB
ejpam-5785	115	58	h(ξn	h(ξn	PROPN
ejpam-5785	115	59	,	,	PUNCT
ejpam-5785	115	60	ξm	ξm	NOUN
ejpam-5785	115	61	,	,	PUNCT
ejpam-5785	115	62	λ	λ	NOUN
ejpam-5785	115	63	)	)	PUNCT
ejpam-5785	115	64	=	=	SYM
ejpam-5785	115	65	1	1	NUM
ejpam-5785	115	66	,	,	PUNCT
ejpam-5785	115	67	lim	lim	PROPN
ejpam-5785	115	68	n.m→+∞	n.m→+∞	VERB
ejpam-5785	115	69	j	j	PROPN
ejpam-5785	115	70	(	(	PUNCT
ejpam-5785	115	71	ξn	ξn	PROPN
ejpam-5785	115	72	,	,	PUNCT
ejpam-5785	115	73	ξm	ξm	PROPN
ejpam-5785	115	74	,	,	PUNCT
ejpam-5785	115	75	λ	λ	NOUN
ejpam-5785	115	76	)	)	PUNCT
ejpam-5785	115	77	=	=	SYM
ejpam-5785	115	78	1	1	NUM
ejpam-5785	115	79	,	,	PUNCT
ejpam-5785	115	80	lim	lim	PROPN
ejpam-5785	115	81	n	n	CCONJ
ejpam-5785	115	82	,	,	PUNCT
ejpam-5785	115	83	m→+∞	m→+∞	PROPN
ejpam-5785	115	84	k(ξn	k(ξn	PROPN
ejpam-5785	115	85	,	,	PUNCT
ejpam-5785	115	86	ξm	ξm	PROPN
ejpam-5785	115	87	,	,	PUNCT
ejpam-5785	115	88	λ	λ	NOUN
ejpam-5785	115	89	)	)	PUNCT
ejpam-5785	115	90	=	=	SYM
ejpam-5785	115	91	0	0	PROPN
ejpam-5785	115	92	,	,	PUNCT
ejpam-5785	115	93	lim	lim	PROPN
ejpam-5785	115	94	n	n	CCONJ
ejpam-5785	115	95	,	,	PUNCT
ejpam-5785	115	96	m→+∞	m→+∞	PROPN
ejpam-5785	115	97	l(ξn	l(ξn	PROPN
ejpam-5785	115	98	,	,	PUNCT
ejpam-5785	115	99	ξm	ξm	PROPN
ejpam-5785	115	100	,	,	PUNCT
ejpam-5785	115	101	λ	λ	NOUN
ejpam-5785	115	102	)	)	PUNCT
ejpam-5785	115	103	=	=	SYM
ejpam-5785	115	104	0	0	NUM
ejpam-5785	115	105	(	(	PUNCT
ejpam-5785	115	106	iii	iii	NOUN
ejpam-5785	115	107	)	)	PUNCT
ejpam-5785	115	108	(	(	PUNCT
ejpam-5785	115	109	x	x	X
ejpam-5785	115	110	,	,	PUNCT
ejpam-5785	115	111	h	h	NOUN
ejpam-5785	115	112	,	,	PUNCT
ejpam-5785	115	113	j	j	PROPN
ejpam-5785	115	114	,	,	PUNCT
ejpam-5785	115	115	k	k	PROPN
ejpam-5785	115	116	,	,	PUNCT
ejpam-5785	115	117	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	115	118	)	)	PUNCT
ejpam-5785	115	119	is	be	AUX
ejpam-5785	115	120	called	call	VERB
ejpam-5785	115	121	complete	complete	ADJ
ejpam-5785	115	122	if	if	SCONJ
ejpam-5785	115	123	each	each	DET
ejpam-5785	115	124	cauchy	cauchy	ADJ
ejpam-5785	115	125	sequence	sequence	NOUN
ejpam-5785	115	126	is	be	AUX
ejpam-5785	115	127	convergent	convergent	ADJ
ejpam-5785	115	128	to	to	ADP
ejpam-5785	115	129	an	an	DET
ejpam-5785	115	130	element	element	NOUN
ejpam-5785	115	131	in	in	ADP
ejpam-5785	115	132	x	x	X
ejpam-5785	115	133	.	.	PUNCT
ejpam-5785	116	1	quasi	quasi	PROPN
ejpam-5785	116	2	contractions	contraction	NOUN
ejpam-5785	116	3	were	be	AUX
ejpam-5785	116	4	first	first	ADV
ejpam-5785	116	5	introduced	introduce	VERB
ejpam-5785	116	6	by	by	ADP
ejpam-5785	116	7	l.b	l.b	PROPN
ejpam-5785	116	8	.	.	PROPN
ejpam-5785	116	9	ciric	ciric	NOUN
ejpam-5785	116	10	in	in	ADP
ejpam-5785	116	11	1974	1974	NUM
ejpam-5785	116	12	within	within	ADP
ejpam-5785	116	13	the	the	DET
ejpam-5785	116	14	framework	framework	NOUN
ejpam-5785	116	15	of	of	ADP
ejpam-5785	116	16	metric	metric	ADJ
ejpam-5785	116	17	spaces	space	NOUN
ejpam-5785	116	18	[	[	X
ejpam-5785	116	19	12	12	NUM
ejpam-5785	116	20	]	]	PUNCT
ejpam-5785	116	21	.	.	PUNCT
ejpam-5785	117	1	ciric	ciric	PROPN
ejpam-5785	117	2	established	establish	VERB
ejpam-5785	117	3	both	both	CCONJ
ejpam-5785	117	4	the	the	DET
ejpam-5785	117	5	existence	existence	NOUN
ejpam-5785	117	6	and	and	CCONJ
ejpam-5785	117	7	uniqueness	uniqueness	NOUN
ejpam-5785	117	8	of	of	ADP
ejpam-5785	117	9	fixed	fix	VERB
ejpam-5785	117	10	points	point	NOUN
ejpam-5785	117	11	for	for	ADP
ejpam-5785	117	12	quasi	quasi	ADJ
ejpam-5785	117	13	contractions	contraction	NOUN
ejpam-5785	117	14	.	.	PUNCT
ejpam-5785	118	1	subsequently	subsequently	ADV
ejpam-5785	118	2	,	,	PUNCT
ejpam-5785	118	3	numerous	numerous	ADJ
ejpam-5785	118	4	researchers	researcher	NOUN
ejpam-5785	118	5	have	have	AUX
ejpam-5785	118	6	explored	explore	VERB
ejpam-5785	118	7	quasi	quasi	ADJ
ejpam-5785	118	8	contractions	contraction	NOUN
ejpam-5785	118	9	in	in	ADP
ejpam-5785	118	10	various	various	ADJ
ejpam-5785	118	11	distance	distance	NOUN
ejpam-5785	118	12	settings	setting	NOUN
ejpam-5785	118	13	,	,	PUNCT
ejpam-5785	118	14	as	as	SCONJ
ejpam-5785	118	15	one	one	PRON
ejpam-5785	118	16	can	can	AUX
ejpam-5785	118	17	see	see	VERB
ejpam-5785	118	18	the	the	DET
ejpam-5785	118	19	studies	study	NOUN
ejpam-5785	118	20	presented	present	VERB
ejpam-5785	118	21	in	in	ADP
ejpam-5785	118	22	[	[	X
ejpam-5785	118	23	21	21	NUM
ejpam-5785	118	24	,	,	PUNCT
ejpam-5785	118	25	27	27	NUM
ejpam-5785	118	26	,	,	PUNCT
ejpam-5785	118	27	28	28	NUM
ejpam-5785	118	28	]	]	PUNCT
ejpam-5785	118	29	and	and	CCONJ
ejpam-5785	118	30	references	reference	NOUN
ejpam-5785	118	31	therein	therein	ADV
ejpam-5785	118	32	.	.	PUNCT
ejpam-5785	119	1	3	3	X
ejpam-5785	119	2	.	.	X
ejpam-5785	119	3	main	main	ADJ
ejpam-5785	119	4	result	result	NOUN
ejpam-5785	119	5	in	in	ADP
ejpam-5785	119	6	the	the	DET
ejpam-5785	119	7	following	follow	VERB
ejpam-5785	119	8	sections	section	NOUN
ejpam-5785	119	9	,	,	PUNCT
ejpam-5785	119	10	we	we	PRON
ejpam-5785	119	11	will	will	AUX
ejpam-5785	119	12	first	first	ADV
ejpam-5785	119	13	present	present	VERB
ejpam-5785	119	14	a	a	DET
ejpam-5785	119	15	valuable	valuable	ADJ
ejpam-5785	119	16	lemma	lemma	PROPN
ejpam-5785	119	17	that	that	PRON
ejpam-5785	119	18	is	be	AUX
ejpam-5785	119	19	integral	integral	ADJ
ejpam-5785	119	20	to	to	ADP
ejpam-5785	119	21	our	our	PRON
ejpam-5785	119	22	primary	primary	ADJ
ejpam-5785	119	23	research	research	NOUN
ejpam-5785	119	24	.	.	PUNCT
ejpam-5785	120	1	subsequently	subsequently	ADV
ejpam-5785	120	2	,	,	PUNCT
ejpam-5785	120	3	we	we	PRON
ejpam-5785	120	4	will	will	AUX
ejpam-5785	120	5	introduce	introduce	VERB
ejpam-5785	120	6	our	our	PRON
ejpam-5785	120	7	contractions	contraction	NOUN
ejpam-5785	120	8	within	within	ADP
ejpam-5785	120	9	the	the	DET
ejpam-5785	120	10	framework	framework	NOUN
ejpam-5785	120	11	of	of	ADP
ejpam-5785	120	12	neutrosophic	neutrosophic	ADJ
ejpam-5785	120	13	fuzzy	fuzzy	ADJ
ejpam-5785	120	14	metric	metric	ADJ
ejpam-5785	120	15	spaces	space	NOUN
ejpam-5785	120	16	.	.	PUNCT
ejpam-5785	121	1	we	we	PRON
ejpam-5785	121	2	will	will	AUX
ejpam-5785	121	3	then	then	ADV
ejpam-5785	121	4	demonstrate	demonstrate	VERB
ejpam-5785	121	5	that	that	SCONJ
ejpam-5785	121	6	these	these	DET
ejpam-5785	121	7	contractions	contraction	NOUN
ejpam-5785	121	8	have	have	VERB
ejpam-5785	121	9	a	a	DET
ejpam-5785	121	10	unique	unique	ADJ
ejpam-5785	121	11	fixed	fix	VERB
ejpam-5785	121	12	point	point	NOUN
ejpam-5785	121	13	under	under	ADP
ejpam-5785	121	14	certain	certain	ADJ
ejpam-5785	121	15	conditions	condition	NOUN
ejpam-5785	121	16	,	,	PUNCT
ejpam-5785	121	17	and	and	CCONJ
ejpam-5785	121	18	we	we	PRON
ejpam-5785	121	19	will	will	AUX
ejpam-5785	121	20	explore	explore	VERB
ejpam-5785	121	21	several	several	ADJ
ejpam-5785	121	22	consequential	consequential	ADJ
ejpam-5785	121	23	results	result	NOUN
ejpam-5785	121	24	derived	derive	VERB
ejpam-5785	121	25	from	from	ADP
ejpam-5785	121	26	our	our	PRON
ejpam-5785	121	27	main	main	ADJ
ejpam-5785	121	28	findings	finding	NOUN
ejpam-5785	121	29	.	.	PUNCT
ejpam-5785	122	1	we	we	PRON
ejpam-5785	122	2	start	start	VERB
ejpam-5785	122	3	with	with	ADP
ejpam-5785	122	4	the	the	DET
ejpam-5785	122	5	following	follow	VERB
ejpam-5785	122	6	helpful	helpful	ADJ
ejpam-5785	122	7	lemma	lemma	PROPN
ejpam-5785	122	8	.	.	PUNCT
ejpam-5785	123	1	a.	a.	PROPN
ejpam-5785	123	2	bataihah	bataihah	PROPN
ejpam-5785	123	3	,	,	PUNCT
ejpam-5785	123	4	a.	a.	NOUN
ejpam-5785	123	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	123	6	/	/	SYM
ejpam-5785	123	7	eur	eur	PROPN
ejpam-5785	123	8	.	.	PUNCT
ejpam-5785	124	1	j.	j.	PROPN
ejpam-5785	124	2	pure	pure	PROPN
ejpam-5785	124	3	appl	appl	PROPN
ejpam-5785	124	4	.	.	PROPN
ejpam-5785	124	5	math	math	PROPN
ejpam-5785	124	6	,	,	PUNCT
ejpam-5785	124	7	18	18	NUM
ejpam-5785	124	8	(	(	PUNCT
ejpam-5785	124	9	1	1	NUM
ejpam-5785	124	10	)	)	PUNCT
ejpam-5785	124	11	(	(	PUNCT
ejpam-5785	124	12	2025	2025	NUM
ejpam-5785	124	13	)	)	PUNCT
ejpam-5785	124	14	,	,	PUNCT
ejpam-5785	124	15	5785	5785	NUM
ejpam-5785	124	16	7	7	NUM
ejpam-5785	124	17	of	of	ADP
ejpam-5785	124	18	15	15	NUM
ejpam-5785	124	19	lemma	lemma	PROPN
ejpam-5785	124	20	1	1	NUM
ejpam-5785	124	21	.	.	PUNCT
ejpam-5785	125	1	let	let	AUX
ejpam-5785	125	2	(	(	PUNCT
ejpam-5785	125	3	x	x	X
ejpam-5785	125	4	,	,	PUNCT
ejpam-5785	125	5	h	h	NOUN
ejpam-5785	125	6	,	,	PUNCT
ejpam-5785	125	7	j	j	PROPN
ejpam-5785	125	8	,	,	PUNCT
ejpam-5785	125	9	k	k	PROPN
ejpam-5785	125	10	,	,	PUNCT
ejpam-5785	125	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	125	12	)	)	PUNCT
ejpam-5785	125	13	be	be	AUX
ejpam-5785	125	14	a	a	DET
ejpam-5785	125	15	nfms	nfms	PROPN
ejpam-5785	125	16	.	.	PUNCT
ejpam-5785	126	1	then	then	ADV
ejpam-5785	126	2	(	(	PUNCT
ejpam-5785	126	3	i	i	NOUN
ejpam-5785	126	4	)	)	PUNCT
ejpam-5785	126	5	h(ξ	h(ξ	PROPN
ejpam-5785	126	6	,	,	PUNCT
ejpam-5785	126	7	ω	ω	PROPN
ejpam-5785	126	8	,	,	PUNCT
ejpam-5785	126	9	·	·	PUNCT
ejpam-5785	126	10	)	)	PUNCT
ejpam-5785	126	11	:	:	PUNCT
ejpam-5785	126	12	r	r	NOUN
ejpam-5785	126	13	→	→	SYM
ejpam-5785	126	14	r	r	NOUN
ejpam-5785	126	15	is	be	AUX
ejpam-5785	126	16	non	non	ADJ
ejpam-5785	126	17	-	-	ADJ
ejpam-5785	126	18	decreasing	decrease	VERB
ejpam-5785	126	19	(	(	PUNCT
ejpam-5785	126	20	ii	ii	NOUN
ejpam-5785	126	21	)	)	PUNCT
ejpam-5785	126	22	j	j	PROPN
ejpam-5785	126	23	(	(	PUNCT
ejpam-5785	126	24	ξ	ξ	PROPN
ejpam-5785	126	25	,	,	PUNCT
ejpam-5785	126	26	ω	ω	PROPN
ejpam-5785	126	27	,	,	PUNCT
ejpam-5785	126	28	·	·	PUNCT
ejpam-5785	126	29	)	)	PUNCT
ejpam-5785	126	30	:	:	PUNCT
ejpam-5785	127	1	r	r	NOUN
ejpam-5785	127	2	→	→	SYM
ejpam-5785	127	3	r	r	NOUN
ejpam-5785	127	4	is	be	AUX
ejpam-5785	127	5	non	non	ADJ
ejpam-5785	127	6	-	-	ADJ
ejpam-5785	127	7	decreasing	decrease	VERB
ejpam-5785	127	8	(	(	PUNCT
ejpam-5785	127	9	iii	iii	NOUN
ejpam-5785	127	10	)	)	PUNCT
ejpam-5785	127	11	k(ξ	k(ξ	PROPN
ejpam-5785	127	12	,	,	PUNCT
ejpam-5785	127	13	ω	ω	PROPN
ejpam-5785	127	14	,	,	PUNCT
ejpam-5785	127	15	·	·	PUNCT
ejpam-5785	127	16	)	)	PUNCT
ejpam-5785	127	17	:	:	PUNCT
ejpam-5785	128	1	r	r	NOUN
ejpam-5785	128	2	→	→	SYM
ejpam-5785	128	3	r	r	NOUN
ejpam-5785	128	4	is	be	AUX
ejpam-5785	128	5	non	non	ADJ
ejpam-5785	128	6	-	-	ADJ
ejpam-5785	128	7	increasing	increase	VERB
ejpam-5785	128	8	(	(	PUNCT
ejpam-5785	128	9	iv	iv	X
ejpam-5785	128	10	)	)	PUNCT
ejpam-5785	128	11	l(ξ	l(ξ	PROPN
ejpam-5785	128	12	,	,	PUNCT
ejpam-5785	128	13	ω	ω	NOUN
ejpam-5785	128	14	,	,	PUNCT
ejpam-5785	128	15	·	·	PUNCT
ejpam-5785	128	16	)	)	PUNCT
ejpam-5785	128	17	:	:	PUNCT
ejpam-5785	129	1	r	r	NOUN
ejpam-5785	129	2	→	→	SYM
ejpam-5785	129	3	r	r	NOUN
ejpam-5785	129	4	is	be	AUX
ejpam-5785	129	5	non	non	ADJ
ejpam-5785	129	6	-	-	ADJ
ejpam-5785	129	7	increasing	increase	VERB
ejpam-5785	129	8	proof	proof	NOUN
ejpam-5785	129	9	.	.	PUNCT
ejpam-5785	130	1	(	(	PUNCT
ejpam-5785	130	2	1	1	X
ejpam-5785	130	3	)	)	PUNCT
ejpam-5785	130	4	let	let	VERB
ejpam-5785	130	5	λ1	λ1	ADJ
ejpam-5785	130	6	,	,	PUNCT
ejpam-5785	130	7	λ2	λ2	NOUN
ejpam-5785	130	8	>	>	X
ejpam-5785	130	9	0	0	NUM
ejpam-5785	130	10	,	,	PUNCT
ejpam-5785	130	11	with	with	ADP
ejpam-5785	130	12	λ1	λ1	PROPN
ejpam-5785	130	13	>	>	X
ejpam-5785	130	14	λ2	λ2	PROPN
ejpam-5785	130	15	.	.	PUNCT
ejpam-5785	131	1	then	then	ADV
ejpam-5785	131	2	,	,	PUNCT
ejpam-5785	131	3	there	there	PRON
ejpam-5785	131	4	is	be	VERB
ejpam-5785	131	5	δ	δ	PROPN
ejpam-5785	131	6	>	>	X
ejpam-5785	131	7	0	0	NUM
ejpam-5785	131	8	such	such	ADJ
ejpam-5785	131	9	that	that	DET
ejpam-5785	131	10	λ1	λ1	PROPN
ejpam-5785	131	11	=	=	SYM
ejpam-5785	131	12	λ2	λ2	PROPN
ejpam-5785	131	13	+	+	NUM
ejpam-5785	131	14	δ	δ	PROPN
ejpam-5785	131	15	.	.	PUNCT
ejpam-5785	132	1	from	from	ADP
ejpam-5785	132	2	(	(	PUNCT
ejpam-5785	132	3	5	5	NUM
ejpam-5785	132	4	)	)	PUNCT
ejpam-5785	132	5	,	,	PUNCT
ejpam-5785	132	6	we	we	PRON
ejpam-5785	132	7	get	get	VERB
ejpam-5785	132	8	h(ξ	h(ξ	PROPN
ejpam-5785	132	9	,	,	PUNCT
ejpam-5785	132	10	ω	ω	PROPN
ejpam-5785	132	11	,	,	PUNCT
ejpam-5785	132	12	λ1	λ1	ADJ
ejpam-5785	132	13	)	)	PUNCT
ejpam-5785	132	14	=	=	SYM
ejpam-5785	132	15	h(ξ	h(ξ	PROPN
ejpam-5785	132	16	,	,	PUNCT
ejpam-5785	132	17	ω	ω	NOUN
ejpam-5785	132	18	,	,	PUNCT
ejpam-5785	132	19	λ2	λ2	PROPN
ejpam-5785	132	20	+	+	CCONJ
ejpam-5785	132	21	δ	δ	PROPN
ejpam-5785	132	22	)	)	PUNCT
ejpam-5785	132	23	≥	≥	NOUN
ejpam-5785	133	1	h(ξ	h(ξ	PROPN
ejpam-5785	133	2	,	,	PUNCT
ejpam-5785	133	3	ω	ω	PROPN
ejpam-5785	133	4	,	,	PUNCT
ejpam-5785	133	5	λ2)⊙h(ω	λ2)⊙h(ω	PROPN
ejpam-5785	133	6	,	,	PUNCT
ejpam-5785	133	7	ω	ω	PROPN
ejpam-5785	133	8	,	,	PUNCT
ejpam-5785	133	9	δ	δ	PROPN
ejpam-5785	133	10	)	)	PUNCT
ejpam-5785	133	11	=	=	SYM
ejpam-5785	133	12	h(ξ	h(ξ	PROPN
ejpam-5785	133	13	,	,	PUNCT
ejpam-5785	133	14	ω	ω	NOUN
ejpam-5785	133	15	,	,	PUNCT
ejpam-5785	133	16	λ2	λ2	PROPN
ejpam-5785	133	17	)	)	PUNCT
ejpam-5785	133	18	.	.	PUNCT
ejpam-5785	134	1	the	the	DET
ejpam-5785	134	2	proofs	proof	NOUN
ejpam-5785	134	3	for	for	ADP
ejpam-5785	134	4	(	(	PUNCT
ejpam-5785	134	5	2),(3	2),(3	NOUN
ejpam-5785	134	6	)	)	PUNCT
ejpam-5785	134	7	and	and	CCONJ
ejpam-5785	134	8	(	(	PUNCT
ejpam-5785	134	9	4	4	X
ejpam-5785	134	10	)	)	PUNCT
ejpam-5785	134	11	are	be	AUX
ejpam-5785	134	12	identical	identical	ADJ
ejpam-5785	134	13	to	to	ADP
ejpam-5785	134	14	that	that	PRON
ejpam-5785	134	15	of	of	ADP
ejpam-5785	134	16	(	(	PUNCT
ejpam-5785	134	17	1	1	NUM
ejpam-5785	134	18	)	)	PUNCT
ejpam-5785	134	19	.	.	PUNCT
ejpam-5785	135	1	through	through	ADP
ejpam-5785	135	2	this	this	DET
ejpam-5785	135	3	context	context	NOUN
ejpam-5785	135	4	we	we	PRON
ejpam-5785	135	5	need	need	VERB
ejpam-5785	135	6	the	the	DET
ejpam-5785	135	7	following	follow	VERB
ejpam-5785	135	8	notations	notation	NOUN
ejpam-5785	135	9	.	.	PUNCT
ejpam-5785	136	1	if	if	SCONJ
ejpam-5785	136	2	t	t	NOUN
ejpam-5785	136	3	:	:	PUNCT
ejpam-5785	136	4	x	x	SYM
ejpam-5785	136	5	2	2	NUM
ejpam-5785	136	6	×	×	NOUN
ejpam-5785	136	7	r	r	NOUN
ejpam-5785	136	8	→	→	SYM
ejpam-5785	136	9	r	r	NOUN
ejpam-5785	136	10	,	,	PUNCT
ejpam-5785	136	11	and	and	CCONJ
ejpam-5785	136	12	f	f	PROPN
ejpam-5785	136	13	is	be	AUX
ejpam-5785	136	14	a	a	DET
ejpam-5785	136	15	self	self	NOUN
ejpam-5785	136	16	map	map	NOUN
ejpam-5785	136	17	on	on	ADP
ejpam-5785	136	18	x	x	X
ejpam-5785	136	19	,	,	PUNCT
ejpam-5785	136	20	then	then	ADV
ejpam-5785	136	21	(	(	PUNCT
ejpam-5785	136	22	i	i	NOUN
ejpam-5785	136	23	)	)	PUNCT
ejpam-5785	136	24	m	m	VERB
ejpam-5785	136	25	1	1	NUM
ejpam-5785	136	26	t	t	PROPN
ejpam-5785	136	27	(	(	PUNCT
ejpam-5785	136	28	ξ	ξ	PROPN
ejpam-5785	136	29	,	,	PUNCT
ejpam-5785	136	30	ω	ω	PROPN
ejpam-5785	136	31	,	,	PUNCT
ejpam-5785	136	32	λ	λ	NOUN
ejpam-5785	136	33	)	)	PUNCT
ejpam-5785	136	34	=	=	SYM
ejpam-5785	136	35	max	max	NOUN
ejpam-5785	136	36	{	{	PUNCT
ejpam-5785	136	37	1	1	NUM
ejpam-5785	136	38	t	t	PROPN
ejpam-5785	136	39	(	(	PUNCT
ejpam-5785	136	40	ξ	ξ	PROPN
ejpam-5785	136	41	,	,	PUNCT
ejpam-5785	136	42	ω	ω	PROPN
ejpam-5785	136	43	,	,	PUNCT
ejpam-5785	136	44	λ	λ	NOUN
ejpam-5785	136	45	)	)	PUNCT
ejpam-5785	136	46	−	−	PROPN
ejpam-5785	136	47	1	1	NUM
ejpam-5785	136	48	,	,	PUNCT
ejpam-5785	136	49	1	1	NUM
ejpam-5785	136	50	t	t	PROPN
ejpam-5785	136	51	(	(	PUNCT
ejpam-5785	136	52	ξ	ξ	PROPN
ejpam-5785	136	53	,	,	PUNCT
ejpam-5785	136	54	fξ	fξ	PROPN
ejpam-5785	136	55	,	,	PUNCT
ejpam-5785	136	56	λ	λ	PROPN
ejpam-5785	136	57	)	)	PUNCT
ejpam-5785	136	58	−	−	PROPN
ejpam-5785	136	59	1	1	NUM
ejpam-5785	136	60	,	,	PUNCT
ejpam-5785	136	61	1	1	NUM
ejpam-5785	136	62	t	t	PROPN
ejpam-5785	136	63	(	(	PUNCT
ejpam-5785	136	64	ω	ω	PROPN
ejpam-5785	136	65	,	,	PUNCT
ejpam-5785	136	66	fω	fω	PROPN
ejpam-5785	136	67	,	,	PUNCT
ejpam-5785	136	68	λ	λ	NOUN
ejpam-5785	136	69	)	)	PUNCT
ejpam-5785	136	70	−	−	PROPN
ejpam-5785	136	71	1	1	NUM
ejpam-5785	136	72	,	,	PUNCT
ejpam-5785	136	73	1	1	NUM
ejpam-5785	136	74	t	t	PROPN
ejpam-5785	136	75	(	(	PUNCT
ejpam-5785	136	76	ξ	ξ	PROPN
ejpam-5785	136	77	,	,	PUNCT
ejpam-5785	136	78	fω	fω	PROPN
ejpam-5785	136	79	,	,	PUNCT
ejpam-5785	136	80	λ	λ	NOUN
ejpam-5785	136	81	)	)	PUNCT
ejpam-5785	136	82	−	−	PROPN
ejpam-5785	136	83	1	1	NUM
ejpam-5785	136	84	,	,	PUNCT
ejpam-5785	136	85	1	1	NUM
ejpam-5785	136	86	t	t	NOUN
ejpam-5785	136	87	(	(	PUNCT
ejpam-5785	136	88	fξ	fξ	PROPN
ejpam-5785	136	89	,	,	PUNCT
ejpam-5785	136	90	ω	ω	PROPN
ejpam-5785	136	91	,	,	PUNCT
ejpam-5785	136	92	λ	λ	PROPN
ejpam-5785	136	93	)	)	PUNCT
ejpam-5785	136	94	−	−	PROPN
ejpam-5785	136	95	1	1	NUM
ejpam-5785	136	96	}	}	PUNCT
ejpam-5785	136	97	,	,	PUNCT
ejpam-5785	136	98	(	(	PUNCT
ejpam-5785	136	99	ii	ii	NOUN
ejpam-5785	136	100	)	)	PUNCT
ejpam-5785	136	101	m	m	PROPN
ejpam-5785	136	102	2	2	NUM
ejpam-5785	136	103	t	t	NOUN
ejpam-5785	136	104	(	(	PUNCT
ejpam-5785	136	105	ξ	ξ	PROPN
ejpam-5785	136	106	,	,	PUNCT
ejpam-5785	136	107	ω	ω	PROPN
ejpam-5785	136	108	,	,	PUNCT
ejpam-5785	136	109	λ	λ	NOUN
ejpam-5785	136	110	)	)	PUNCT
ejpam-5785	136	111	=	=	SYM
ejpam-5785	136	112	max	max	PROPN
ejpam-5785	136	113	{	{	PUNCT
ejpam-5785	136	114	t	t	PROPN
ejpam-5785	136	115	(	(	PUNCT
ejpam-5785	136	116	ξ	ξ	PROPN
ejpam-5785	136	117	,	,	PUNCT
ejpam-5785	136	118	ω	ω	PROPN
ejpam-5785	136	119	,	,	PUNCT
ejpam-5785	136	120	λ	λ	PROPN
ejpam-5785	136	121	)	)	PUNCT
ejpam-5785	136	122	,	,	PUNCT
ejpam-5785	136	123	t	t	PROPN
ejpam-5785	136	124	(	(	PUNCT
ejpam-5785	136	125	ξ	ξ	PROPN
ejpam-5785	136	126	,	,	PUNCT
ejpam-5785	136	127	fξ	fξ	PROPN
ejpam-5785	136	128	,	,	PUNCT
ejpam-5785	136	129	λ	λ	PROPN
ejpam-5785	136	130	)	)	PUNCT
ejpam-5785	136	131	,	,	PUNCT
ejpam-5785	136	132	t	t	PROPN
ejpam-5785	136	133	(	(	PUNCT
ejpam-5785	136	134	ω	ω	PROPN
ejpam-5785	136	135	,	,	PUNCT
ejpam-5785	136	136	fω	fω	PROPN
ejpam-5785	136	137	,	,	PUNCT
ejpam-5785	136	138	λ	λ	NOUN
ejpam-5785	136	139	)	)	PUNCT
ejpam-5785	136	140	,	,	PUNCT
ejpam-5785	136	141	t	t	PROPN
ejpam-5785	136	142	(	(	PUNCT
ejpam-5785	136	143	ξ	ξ	PROPN
ejpam-5785	136	144	,	,	PUNCT
ejpam-5785	136	145	fω	fω	PROPN
ejpam-5785	136	146	,	,	PUNCT
ejpam-5785	136	147	λ	λ	NOUN
ejpam-5785	136	148	)	)	PUNCT
ejpam-5785	136	149	,	,	PUNCT
ejpam-5785	136	150	t	t	PROPN
ejpam-5785	136	151	(	(	PUNCT
ejpam-5785	136	152	fξ	fξ	PROPN
ejpam-5785	136	153	,	,	PUNCT
ejpam-5785	136	154	ω	ω	PROPN
ejpam-5785	136	155	,	,	PUNCT
ejpam-5785	136	156	λ	λ	NOUN
ejpam-5785	136	157	)	)	PUNCT
ejpam-5785	136	158	}	}	PUNCT
ejpam-5785	136	159	.	.	PUNCT
ejpam-5785	137	1	additionally	additionally	ADV
ejpam-5785	137	2	,	,	PUNCT
ejpam-5785	137	3	we	we	PRON
ejpam-5785	137	4	establish	establish	VERB
ejpam-5785	137	5	the	the	DET
ejpam-5785	137	6	following	follow	VERB
ejpam-5785	137	7	notation	notation	NOUN
ejpam-5785	137	8	to	to	PART
ejpam-5785	137	9	define	define	VERB
ejpam-5785	137	10	the	the	DET
ejpam-5785	137	11	concept	concept	NOUN
ejpam-5785	137	12	of	of	ADP
ejpam-5785	137	13	need	need	NOUN
ejpam-5785	137	14	:	:	PUNCT
ejpam-5785	137	15	(	(	PUNCT
ejpam-5785	137	16	i	i	NOUN
ejpam-5785	137	17	)	)	PUNCT
ejpam-5785	137	18	δ1	δ1	PROPN
ejpam-5785	137	19	t	t	PROPN
ejpam-5785	137	20	(	(	PUNCT
ejpam-5785	137	21	ξ	ξ	PROPN
ejpam-5785	137	22	,	,	PUNCT
ejpam-5785	137	23	f	f	PROPN
ejpam-5785	137	24	,	,	PUNCT
ejpam-5785	137	25	λ	λ	PROPN
ejpam-5785	137	26	)	)	PUNCT
ejpam-5785	137	27	=	=	SYM
ejpam-5785	137	28	max	max	PROPN
ejpam-5785	137	29	i	i	PROPN
ejpam-5785	137	30	,	,	PUNCT
ejpam-5785	137	31	j∈n	j∈n	NOUN
ejpam-5785	137	32	{	{	PUNCT
ejpam-5785	137	33	1	1	NUM
ejpam-5785	137	34	t	t	NOUN
ejpam-5785	137	35	(	(	PUNCT
ejpam-5785	137	36	f	f	PROPN
ejpam-5785	137	37	iξ	iξ	PROPN
ejpam-5785	137	38	,	,	PUNCT
ejpam-5785	137	39	f	f	PROPN
ejpam-5785	137	40	jξ	jξ	PROPN
ejpam-5785	137	41	,	,	PUNCT
ejpam-5785	137	42	λ	λ	NOUN
ejpam-5785	137	43	)	)	PUNCT
ejpam-5785	137	44	−	−	PROPN
ejpam-5785	137	45	1	1	NUM
ejpam-5785	137	46	}	}	PUNCT
ejpam-5785	137	47	,	,	PUNCT
ejpam-5785	137	48	(	(	PUNCT
ejpam-5785	137	49	ii	ii	NOUN
ejpam-5785	137	50	)	)	PUNCT
ejpam-5785	137	51	δ2	δ2	PROPN
ejpam-5785	137	52	t	t	PROPN
ejpam-5785	137	53	(	(	PUNCT
ejpam-5785	137	54	ξ	ξ	PROPN
ejpam-5785	137	55	,	,	PUNCT
ejpam-5785	137	56	f	f	PROPN
ejpam-5785	137	57	,	,	PUNCT
ejpam-5785	137	58	λ	λ	PROPN
ejpam-5785	137	59	)	)	PUNCT
ejpam-5785	137	60	=	=	SYM
ejpam-5785	138	1	max	max	PROPN
ejpam-5785	138	2	i	i	PROPN
ejpam-5785	138	3	,	,	PUNCT
ejpam-5785	138	4	j∈n	j∈n	PROPN
ejpam-5785	138	5	{	{	PUNCT
ejpam-5785	138	6	t	t	PROPN
ejpam-5785	138	7	(	(	PUNCT
ejpam-5785	138	8	f	f	PROPN
ejpam-5785	138	9	iξ	iξ	PROPN
ejpam-5785	138	10	,	,	PUNCT
ejpam-5785	138	11	f	f	PROPN
ejpam-5785	138	12	jξ	jξ	PROPN
ejpam-5785	138	13	,	,	PUNCT
ejpam-5785	138	14	λ	λ	NOUN
ejpam-5785	138	15	)	)	PUNCT
ejpam-5785	138	16	}	}	PUNCT
ejpam-5785	138	17	.	.	PUNCT
ejpam-5785	139	1	we	we	PRON
ejpam-5785	139	2	will	will	AUX
ejpam-5785	139	3	now	now	ADV
ejpam-5785	139	4	provide	provide	VERB
ejpam-5785	139	5	the	the	DET
ejpam-5785	139	6	definition	definition	NOUN
ejpam-5785	139	7	of	of	ADP
ejpam-5785	139	8	a	a	DET
ejpam-5785	139	9	neutrosophic	neutrosophic	ADJ
ejpam-5785	139	10	fuzzy	fuzzy	ADJ
ejpam-5785	139	11	quasi	quasi	NOUN
ejpam-5785	139	12	-	-	NOUN
ejpam-5785	139	13	contractions	contraction	NOUN
ejpam-5785	139	14	.	.	PUNCT
ejpam-5785	140	1	definition	definition	NOUN
ejpam-5785	140	2	9	9	NUM
ejpam-5785	140	3	.	.	PUNCT
ejpam-5785	141	1	let	let	AUX
ejpam-5785	141	2	(	(	PUNCT
ejpam-5785	141	3	x	x	X
ejpam-5785	141	4	,	,	PUNCT
ejpam-5785	141	5	h	h	NOUN
ejpam-5785	141	6	,	,	PUNCT
ejpam-5785	141	7	j	j	PROPN
ejpam-5785	141	8	,	,	PUNCT
ejpam-5785	141	9	k	k	PROPN
ejpam-5785	141	10	,	,	PUNCT
ejpam-5785	141	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	141	12	)	)	PUNCT
ejpam-5785	141	13	represent	represent	VERB
ejpam-5785	141	14	a	a	DET
ejpam-5785	141	15	neutrosophic	neutrosophic	ADJ
ejpam-5785	141	16	fuzzy	fuzzy	ADJ
ejpam-5785	141	17	metric	metric	ADJ
ejpam-5785	141	18	space	space	NOUN
ejpam-5785	141	19	(	(	PUNCT
ejpam-5785	141	20	nfms	nfms	PROPN
ejpam-5785	141	21	)	)	PUNCT
ejpam-5785	141	22	.	.	PUNCT
ejpam-5785	142	1	a	a	DET
ejpam-5785	142	2	function	function	NOUN
ejpam-5785	142	3	f	f	NOUN
ejpam-5785	142	4	:	:	PUNCT
ejpam-5785	142	5	x	x	X
ejpam-5785	142	6	→	→	PUNCT
ejpam-5785	142	7	x	x	X
ejpam-5785	142	8	is	be	AUX
ejpam-5785	142	9	defined	define	VERB
ejpam-5785	142	10	as	as	ADP
ejpam-5785	142	11	a	a	DET
ejpam-5785	142	12	neutrosophic	neutrosophic	ADJ
ejpam-5785	142	13	fuzzy	fuzzy	ADJ
ejpam-5785	142	14	quasi	quasi	NOUN
ejpam-5785	142	15	-	-	NOUN
ejpam-5785	142	16	contraction	contraction	NOUN
ejpam-5785	142	17	if	if	SCONJ
ejpam-5785	142	18	,	,	PUNCT
ejpam-5785	142	19	for	for	ADP
ejpam-5785	142	20	every	every	DET
ejpam-5785	142	21	pair	pair	NOUN
ejpam-5785	142	22	of	of	ADP
ejpam-5785	142	23	elements	element	NOUN
ejpam-5785	142	24	ξ	ξ	PROPN
ejpam-5785	142	25	,	,	PUNCT
ejpam-5785	142	26	ω	ω	PROPN
ejpam-5785	142	27	∈	∈	PROPN
ejpam-5785	142	28	x	x	X
ejpam-5785	142	29	and	and	CCONJ
ejpam-5785	142	30	for	for	ADP
ejpam-5785	142	31	all	all	DET
ejpam-5785	142	32	λ	λ	PROPN
ejpam-5785	142	33	>	>	X
ejpam-5785	142	34	0	0	PROPN
ejpam-5785	142	35	,	,	PUNCT
ejpam-5785	142	36	the	the	DET
ejpam-5785	142	37	following	follow	VERB
ejpam-5785	142	38	condition	condition	NOUN
ejpam-5785	142	39	holds	hold	VERB
ejpam-5785	142	40	for	for	ADP
ejpam-5785	142	41	some	some	DET
ejpam-5785	142	42	k	k	PROPN
ejpam-5785	142	43	∈	∈	PROPN
ejpam-5785	143	1	[	[	X
ejpam-5785	143	2	0	0	NUM
ejpam-5785	143	3	,	,	PUNCT
ejpam-5785	143	4	1	1	NUM
ejpam-5785	143	5	):	):	PUNCT
ejpam-5785	143	6	1	1	NUM
ejpam-5785	143	7	h(fξ	h(fξ	PROPN
ejpam-5785	143	8	,	,	PUNCT
ejpam-5785	143	9	fω	fω	PROPN
ejpam-5785	143	10	,	,	PUNCT
ejpam-5785	143	11	λ	λ	NOUN
ejpam-5785	143	12	)	)	PUNCT
ejpam-5785	143	13	−	−	PROPN
ejpam-5785	144	1	1	1	NUM
ejpam-5785	144	2	≤	≤	NUM
ejpam-5785	144	3	k	k	PROPN
ejpam-5785	144	4	m	m	VERB
ejpam-5785	144	5	1	1	NUM
ejpam-5785	144	6	h(ξ	h(ξ	PROPN
ejpam-5785	144	7	,	,	PUNCT
ejpam-5785	144	8	ω	ω	PROPN
ejpam-5785	144	9	,	,	PUNCT
ejpam-5785	144	10	λ	λ	PROPN
ejpam-5785	144	11	)	)	PUNCT
ejpam-5785	144	12	,	,	PUNCT
ejpam-5785	144	13	1	1	NUM
ejpam-5785	144	14	j	j	PROPN
ejpam-5785	144	15	(	(	PUNCT
ejpam-5785	144	16	fξ	fξ	PROPN
ejpam-5785	144	17	,	,	PUNCT
ejpam-5785	144	18	fω	fω	PROPN
ejpam-5785	144	19	,	,	PUNCT
ejpam-5785	144	20	λ	λ	NOUN
ejpam-5785	144	21	)	)	PUNCT
ejpam-5785	144	22	−	−	PROPN
ejpam-5785	144	23	1	1	NUM
ejpam-5785	144	24	≤	≤	NUM
ejpam-5785	145	1	k	k	NOUN
ejpam-5785	145	2	m	m	VERB
ejpam-5785	145	3	1	1	NUM
ejpam-5785	145	4	j	j	PROPN
ejpam-5785	145	5	(	(	PUNCT
ejpam-5785	145	6	ξ	ξ	PROPN
ejpam-5785	145	7	,	,	PUNCT
ejpam-5785	145	8	ω	ω	PROPN
ejpam-5785	145	9	,	,	PUNCT
ejpam-5785	145	10	λ	λ	NOUN
ejpam-5785	145	11	)	)	PUNCT
ejpam-5785	145	12	,	,	PUNCT
ejpam-5785	145	13	a.	a.	PROPN
ejpam-5785	145	14	bataihah	bataihah	PROPN
ejpam-5785	145	15	,	,	PUNCT
ejpam-5785	145	16	a.	a.	NOUN
ejpam-5785	145	17	hazaymeh	hazaymeh	NOUN
ejpam-5785	145	18	/	/	SYM
ejpam-5785	145	19	eur	eur	PROPN
ejpam-5785	145	20	.	.	PUNCT
ejpam-5785	146	1	j.	j.	PROPN
ejpam-5785	146	2	pure	pure	PROPN
ejpam-5785	146	3	appl	appl	PROPN
ejpam-5785	146	4	.	.	PROPN
ejpam-5785	146	5	math	math	PROPN
ejpam-5785	146	6	,	,	PUNCT
ejpam-5785	146	7	18	18	NUM
ejpam-5785	146	8	(	(	PUNCT
ejpam-5785	146	9	1	1	NUM
ejpam-5785	146	10	)	)	PUNCT
ejpam-5785	146	11	(	(	PUNCT
ejpam-5785	146	12	2025	2025	NUM
ejpam-5785	146	13	)	)	PUNCT
ejpam-5785	146	14	,	,	PUNCT
ejpam-5785	146	15	5785	5785	NUM
ejpam-5785	146	16	8	8	NUM
ejpam-5785	146	17	of	of	ADP
ejpam-5785	146	18	15	15	NUM
ejpam-5785	146	19	k(fξ	k(fξ	PROPN
ejpam-5785	146	20	,	,	PUNCT
ejpam-5785	146	21	fω	fω	PROPN
ejpam-5785	146	22	,	,	PUNCT
ejpam-5785	146	23	λ	λ	NOUN
ejpam-5785	146	24	)	)	PUNCT
ejpam-5785	146	25	≤	≤	PUNCT
ejpam-5785	147	1	k	k	PROPN
ejpam-5785	147	2	m	m	VERB
ejpam-5785	147	3	2	2	NUM
ejpam-5785	147	4	k(ξ	k(ξ	X
ejpam-5785	147	5	,	,	PUNCT
ejpam-5785	147	6	ω	ω	PROPN
ejpam-5785	147	7	,	,	PUNCT
ejpam-5785	147	8	λ	λ	NOUN
ejpam-5785	147	9	)	)	PUNCT
ejpam-5785	147	10	,	,	PUNCT
ejpam-5785	147	11	and	and	CCONJ
ejpam-5785	147	12	l(fξ	l(fξ	PROPN
ejpam-5785	147	13	,	,	PUNCT
ejpam-5785	147	14	fω	fω	PROPN
ejpam-5785	147	15	,	,	PUNCT
ejpam-5785	147	16	λ	λ	NOUN
ejpam-5785	147	17	)	)	PUNCT
ejpam-5785	147	18	≤	≤	PUNCT
ejpam-5785	148	1	k	k	PROPN
ejpam-5785	148	2	m	m	VERB
ejpam-5785	148	3	2	2	NUM
ejpam-5785	148	4	l(ξ	l(ξ	PROPN
ejpam-5785	148	5	,	,	PUNCT
ejpam-5785	148	6	ω	ω	NOUN
ejpam-5785	148	7	,	,	PUNCT
ejpam-5785	148	8	λ	λ	NOUN
ejpam-5785	148	9	)	)	PUNCT
ejpam-5785	148	10	.	.	PUNCT
ejpam-5785	149	1	theorem	theorem	NOUN
ejpam-5785	149	2	1	1	X
ejpam-5785	149	3	.	.	PUNCT
ejpam-5785	150	1	let	let	AUX
ejpam-5785	150	2	(	(	PUNCT
ejpam-5785	150	3	x	x	X
ejpam-5785	150	4	,	,	PUNCT
ejpam-5785	150	5	h	h	NOUN
ejpam-5785	150	6	,	,	PUNCT
ejpam-5785	150	7	j	j	PROPN
ejpam-5785	150	8	,	,	PUNCT
ejpam-5785	150	9	k	k	PROPN
ejpam-5785	150	10	,	,	PUNCT
ejpam-5785	150	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	150	12	)	)	PUNCT
ejpam-5785	150	13	be	be	AUX
ejpam-5785	150	14	a	a	DET
ejpam-5785	150	15	complete	complete	ADJ
ejpam-5785	150	16	nfms	nfms	NOUN
ejpam-5785	150	17	,	,	PUNCT
ejpam-5785	150	18	suppose	suppose	VERB
ejpam-5785	150	19	that	that	SCONJ
ejpam-5785	150	20	f	f	X
ejpam-5785	150	21	:	:	PUNCT
ejpam-5785	150	22	x	x	X
ejpam-5785	150	23	→	→	PUNCT
ejpam-5785	150	24	x	x	PUNCT
ejpam-5785	150	25	is	be	AUX
ejpam-5785	150	26	neutrosophic	neutrosophic	ADJ
ejpam-5785	150	27	fuzzy	fuzzy	ADJ
ejpam-5785	150	28	quasi	quasi	NOUN
ejpam-5785	150	29	-	-	NOUN
ejpam-5785	150	30	contraction	contraction	NOUN
ejpam-5785	150	31	.	.	PUNCT
ejpam-5785	151	1	furthermore	furthermore	ADV
ejpam-5785	151	2	,	,	PUNCT
ejpam-5785	151	3	consider	consider	VERB
ejpam-5785	151	4	that	that	SCONJ
ejpam-5785	151	5	one	one	NUM
ejpam-5785	151	6	of	of	ADP
ejpam-5785	151	7	the	the	DET
ejpam-5785	151	8	following	following	ADJ
ejpam-5785	151	9	statements	statement	NOUN
ejpam-5785	151	10	holds	hold	VERB
ejpam-5785	151	11	true	true	ADJ
ejpam-5785	151	12	.	.	PUNCT
ejpam-5785	152	1	(	(	PUNCT
ejpam-5785	152	2	*	*	X
ejpam-5785	152	3	)	)	PUNCT
ejpam-5785	152	4	f	f	PROPN
ejpam-5785	152	5	is	be	AUX
ejpam-5785	152	6	continuous	continuous	ADJ
ejpam-5785	152	7	,	,	PUNCT
ejpam-5785	152	8	(	(	PUNCT
ejpam-5785	152	9	*	*	PUNCT
ejpam-5785	152	10	*	*	PUNCT
ejpam-5785	152	11	)	)	PUNCT
ejpam-5785	152	12	the	the	DET
ejpam-5785	152	13	fuzzy	fuzzy	ADJ
ejpam-5785	152	14	sets	set	VERB
ejpam-5785	152	15	h	h	NOUN
ejpam-5785	152	16	,	,	PUNCT
ejpam-5785	152	17	j	j	PROPN
ejpam-5785	152	18	,	,	PUNCT
ejpam-5785	152	19	k	k	PROPN
ejpam-5785	152	20	,	,	PUNCT
ejpam-5785	152	21	and	and	CCONJ
ejpam-5785	152	22	l	l	NOUN
ejpam-5785	152	23	exhibit	exhibit	NOUN
ejpam-5785	152	24	continuity	continuity	NOUN
ejpam-5785	152	25	with	with	ADP
ejpam-5785	152	26	respect	respect	NOUN
ejpam-5785	152	27	to	to	ADP
ejpam-5785	152	28	their	their	PRON
ejpam-5785	152	29	first	first	ADJ
ejpam-5785	152	30	two	two	NUM
ejpam-5785	152	31	coordinates	coordinate	NOUN
ejpam-5785	152	32	.	.	PUNCT
ejpam-5785	153	1	consequently	consequently	ADV
ejpam-5785	153	2	,	,	PUNCT
ejpam-5785	153	3	the	the	DET
ejpam-5785	153	4	function	function	NOUN
ejpam-5785	153	5	f	f	PROPN
ejpam-5785	153	6	possesses	possess	VERB
ejpam-5785	153	7	a	a	DET
ejpam-5785	153	8	unique	unique	ADJ
ejpam-5785	153	9	fixed	fix	VERB
ejpam-5785	153	10	point	point	NOUN
ejpam-5785	153	11	.	.	PUNCT
ejpam-5785	154	1	proof	proof	NOUN
ejpam-5785	154	2	.	.	PUNCT
ejpam-5785	155	1	let	let	VERB
ejpam-5785	155	2	ξ0	ξ0	PROPN
ejpam-5785	155	3	∈	∈	PROPN
ejpam-5785	155	4	x	x	AUX
ejpam-5785	155	5	represent	represent	VERB
ejpam-5785	155	6	any	any	DET
ejpam-5785	155	7	arbitrary	arbitrary	ADJ
ejpam-5785	155	8	element	element	NOUN
ejpam-5785	155	9	.	.	PUNCT
ejpam-5785	156	1	we	we	PRON
ejpam-5785	156	2	consider	consider	VERB
ejpam-5785	156	3	the	the	DET
ejpam-5785	156	4	sequence	sequence	NOUN
ejpam-5785	156	5	(	(	PUNCT
ejpam-5785	156	6	ξn	ξn	NOUN
ejpam-5785	156	7	)	)	PUNCT
ejpam-5785	156	8	characterized	characterize	VERB
ejpam-5785	156	9	by	by	ADP
ejpam-5785	156	10	the	the	DET
ejpam-5785	156	11	relation	relation	NOUN
ejpam-5785	156	12	ξn	ξn	PROPN
ejpam-5785	156	13	=	=	PROPN
ejpam-5785	156	14	fn(ξ0	fn(ξ0	PROPN
ejpam-5785	156	15	)	)	PUNCT
ejpam-5785	156	16	for	for	ADP
ejpam-5785	156	17	all	all	DET
ejpam-5785	156	18	n	n	PRON
ejpam-5785	156	19	≥	≥	NOUN
ejpam-5785	156	20	0	0	NUM
ejpam-5785	156	21	.	.	PUNCT
ejpam-5785	157	1	by	by	ADP
ejpam-5785	157	2	definition	definition	NOUN
ejpam-5785	157	3	9	9	NUM
ejpam-5785	157	4	we	we	PRON
ejpam-5785	157	5	have	have	VERB
ejpam-5785	157	6	for	for	ADP
ejpam-5785	157	7	all	all	DET
ejpam-5785	157	8	i	i	PRON
ejpam-5785	157	9	,	,	PUNCT
ejpam-5785	157	10	j	j	PROPN
ejpam-5785	157	11	∈	∈	PROPN
ejpam-5785	157	12	n	n	PRON
ejpam-5785	157	13	1	1	NUM
ejpam-5785	157	14	h(fn+iξ0,fn+jξ0,λ	h(fn+iξ0,fn+jξ0,λ	NOUN
ejpam-5785	157	15	)	)	PUNCT
ejpam-5785	157	16	−	−	PROPN
ejpam-5785	157	17	1	1	NUM
ejpam-5785	157	18	≤	≤	NUM
ejpam-5785	157	19	k	k	X
ejpam-5785	157	20	max	max	PROPN
ejpam-5785	157	21	{	{	PUNCT
ejpam-5785	157	22	1	1	NUM
ejpam-5785	157	23	h(fn+i−1ξ0,fn+j−1ξ0,λ	h(fn+i−1ξ0,fn+j−1ξ0,λ	NOUN
ejpam-5785	157	24	)	)	PUNCT
ejpam-5785	157	25	−	−	PROPN
ejpam-5785	157	26	1	1	NUM
ejpam-5785	157	27	,	,	PUNCT
ejpam-5785	157	28	1	1	NUM
ejpam-5785	157	29	h(fn+i−1ξ0,fn+iξ0,λ	h(fn+i−1ξ0,fn+iξ0,λ	NOUN
ejpam-5785	157	30	)	)	PUNCT
ejpam-5785	157	31	−	−	PROPN
ejpam-5785	158	1	1	1	NUM
ejpam-5785	158	2	,	,	PUNCT
ejpam-5785	158	3	1	1	NUM
ejpam-5785	158	4	h(fn+j−1ξ0,fn+jξ0,λ	h(fn+j−1ξ0,fn+jξ0,λ	NOUN
ejpam-5785	158	5	)	)	PUNCT
ejpam-5785	159	1	−	−	PROPN
ejpam-5785	159	2	1	1	NUM
ejpam-5785	159	3	,	,	PUNCT
ejpam-5785	159	4	1	1	NUM
ejpam-5785	159	5	h(fn+i−1ξ0,fn+jξ0,λ	h(fn+i−1ξ0,fn+jξ0,λ	NOUN
ejpam-5785	159	6	)	)	PUNCT
ejpam-5785	159	7	−	−	PROPN
ejpam-5785	159	8	1	1	NUM
ejpam-5785	159	9	,	,	PUNCT
ejpam-5785	159	10	1	1	NUM
ejpam-5785	159	11	h(fn+j−1ξ0,fn+iξ0,λ	h(fn+j−1ξ0,fn+iξ0,λ	NOUN
ejpam-5785	159	12	)	)	PUNCT
ejpam-5785	159	13	−	−	PROPN
ejpam-5785	160	1	1	1	NUM
ejpam-5785	160	2	}	}	PUNCT
ejpam-5785	160	3	,	,	PUNCT
ejpam-5785	160	4	1	1	NUM
ejpam-5785	160	5	j	j	PROPN
ejpam-5785	160	6	(	(	PUNCT
ejpam-5785	160	7	fn+iξ0,fn+jξ0,λ	fn+iξ0,fn+jξ0,λ	NOUN
ejpam-5785	160	8	)	)	PUNCT
ejpam-5785	160	9	−	−	PROPN
ejpam-5785	160	10	1	1	NUM
ejpam-5785	160	11	≤	≤	NUM
ejpam-5785	160	12	k	k	PRON
ejpam-5785	160	13	max	max	PROPN
ejpam-5785	160	14	{	{	PUNCT
ejpam-5785	160	15	1	1	NUM
ejpam-5785	160	16	j	j	PROPN
ejpam-5785	160	17	(	(	PUNCT
ejpam-5785	160	18	fn+i−1ξ0,fn+j−1ξ0,λ	fn+i−1ξ0,fn+j−1ξ0,λ	NOUN
ejpam-5785	160	19	)	)	PUNCT
ejpam-5785	160	20	−	−	PROPN
ejpam-5785	160	21	1	1	NUM
ejpam-5785	160	22	,	,	PUNCT
ejpam-5785	160	23	1	1	NUM
ejpam-5785	160	24	j	j	PROPN
ejpam-5785	160	25	(	(	PUNCT
ejpam-5785	160	26	fn+i−1ξ0,fn+iξ0,λ	fn+i−1ξ0,fn+iξ0,λ	PROPN
ejpam-5785	160	27	)	)	PUNCT
ejpam-5785	160	28	−	−	PROPN
ejpam-5785	161	1	1	1	NUM
ejpam-5785	161	2	,	,	PUNCT
ejpam-5785	161	3	1	1	NUM
ejpam-5785	161	4	j	j	PROPN
ejpam-5785	161	5	(	(	PUNCT
ejpam-5785	161	6	fn+j−1ξ0,fn+jξ0,λ	fn+j−1ξ0,fn+jξ0,λ	NOUN
ejpam-5785	161	7	)	)	PUNCT
ejpam-5785	161	8	−	−	PROPN
ejpam-5785	161	9	1	1	NUM
ejpam-5785	161	10	,	,	PUNCT
ejpam-5785	161	11	1	1	NUM
ejpam-5785	161	12	j	j	PROPN
ejpam-5785	161	13	(	(	PUNCT
ejpam-5785	161	14	fn+i−1ξ0,fn+jξ0,λ	fn+i−1ξ0,fn+jξ0,λ	PROPN
ejpam-5785	161	15	)	)	PUNCT
ejpam-5785	161	16	−	−	PROPN
ejpam-5785	162	1	1	1	NUM
ejpam-5785	162	2	,	,	PUNCT
ejpam-5785	162	3	1	1	NUM
ejpam-5785	162	4	j	j	PROPN
ejpam-5785	162	5	(	(	PUNCT
ejpam-5785	162	6	fn+j−1ξ0,fn+iξ0,λ	fn+j−1ξ0,fn+iξ0,λ	PROPN
ejpam-5785	162	7	)	)	PUNCT
ejpam-5785	162	8	−	−	PROPN
ejpam-5785	162	9	1	1	NUM
ejpam-5785	162	10	}	}	PUNCT
ejpam-5785	162	11	,	,	PUNCT
ejpam-5785	162	12	k(fn+iξ0	k(fn+iξ0	PROPN
ejpam-5785	162	13	,	,	PUNCT
ejpam-5785	162	14	f	f	PROPN
ejpam-5785	162	15	n+jξ0	n+jξ0	NUM
ejpam-5785	162	16	,	,	PUNCT
ejpam-5785	162	17	λ	λ	NOUN
ejpam-5785	162	18	)	)	PUNCT
ejpam-5785	162	19	≤	≤	PUNCT
ejpam-5785	162	20	k	k	PROPN
ejpam-5785	162	21	max	max	PROPN
ejpam-5785	162	22	{	{	PUNCT
ejpam-5785	162	23	k(fn+i−1ξ0	k(fn+i−1ξ0	PROPN
ejpam-5785	162	24	,	,	PUNCT
ejpam-5785	162	25	f	f	PROPN
ejpam-5785	162	26	n+j−1ξ0	n+j−1ξ0	PROPN
ejpam-5785	162	27	,	,	PUNCT
ejpam-5785	162	28	λ),k(fn+i−1ξ0	λ),k(fn+i−1ξ0	PROPN
ejpam-5785	162	29	,	,	PUNCT
ejpam-5785	162	30	f	f	PROPN
ejpam-5785	162	31	n+iξ0	n+iξ0	NUM
ejpam-5785	162	32	,	,	PUNCT
ejpam-5785	162	33	λ),k(fn+j−1ξ0	λ),k(fn+j−1ξ0	PROPN
ejpam-5785	162	34	,	,	PUNCT
ejpam-5785	162	35	f	f	PROPN
ejpam-5785	162	36	n+jξ0	n+jξ0	NUM
ejpam-5785	162	37	,	,	PUNCT
ejpam-5785	162	38	λ	λ	NOUN
ejpam-5785	162	39	)	)	PUNCT
ejpam-5785	162	40	,	,	PUNCT
ejpam-5785	162	41	k(fn+i−1ξ0	k(fn+i−1ξ0	PROPN
ejpam-5785	162	42	,	,	PUNCT
ejpam-5785	162	43	f	f	PROPN
ejpam-5785	162	44	n+jξ0	n+jξ0	NUM
ejpam-5785	162	45	,	,	PUNCT
ejpam-5785	162	46	λ),k(fn+j−1ξ0	λ),k(fn+j−1ξ0	PROPN
ejpam-5785	162	47	,	,	PUNCT
ejpam-5785	162	48	f	f	PROPN
ejpam-5785	162	49	n+iξ0	n+iξ0	NUM
ejpam-5785	162	50	,	,	PUNCT
ejpam-5785	162	51	λ	λ	NOUN
ejpam-5785	162	52	)	)	PUNCT
ejpam-5785	162	53	}	}	PUNCT
ejpam-5785	162	54	,	,	PUNCT
ejpam-5785	162	55	and	and	CCONJ
ejpam-5785	162	56	l(fn+iξ0	l(fn+iξ0	PROPN
ejpam-5785	162	57	,	,	PUNCT
ejpam-5785	162	58	f	f	PROPN
ejpam-5785	162	59	n+jξ0	n+jξ0	NUM
ejpam-5785	162	60	,	,	PUNCT
ejpam-5785	162	61	λ	λ	NOUN
ejpam-5785	162	62	)	)	PUNCT
ejpam-5785	162	63	≤	≤	PUNCT
ejpam-5785	163	1	k	k	PROPN
ejpam-5785	163	2	max	max	PROPN
ejpam-5785	163	3	{	{	PUNCT
ejpam-5785	163	4	l(fn+i−1ξ0	l(fn+i−1ξ0	PROPN
ejpam-5785	163	5	,	,	PUNCT
ejpam-5785	163	6	f	f	PROPN
ejpam-5785	163	7	n+j−1ξ0	n+j−1ξ0	PROPN
ejpam-5785	163	8	,	,	PUNCT
ejpam-5785	163	9	λ),l(fn+i−1ξ0	λ),l(fn+i−1ξ0	PROPN
ejpam-5785	163	10	,	,	PUNCT
ejpam-5785	163	11	f	f	PROPN
ejpam-5785	163	12	n+iξ0	n+iξ0	NUM
ejpam-5785	163	13	,	,	PUNCT
ejpam-5785	163	14	λ),l(fn+j−1ξ0	λ),l(fn+j−1ξ0	PROPN
ejpam-5785	163	15	,	,	PUNCT
ejpam-5785	163	16	f	f	PROPN
ejpam-5785	163	17	n+jξ0	n+jξ0	NUM
ejpam-5785	163	18	,	,	PUNCT
ejpam-5785	163	19	λ	λ	NOUN
ejpam-5785	163	20	)	)	PUNCT
ejpam-5785	163	21	,	,	PUNCT
ejpam-5785	163	22	l(fn+i−1ξ0	l(fn+i−1ξ0	PROPN
ejpam-5785	163	23	,	,	PUNCT
ejpam-5785	163	24	f	f	PROPN
ejpam-5785	163	25	n+jξ0	n+jξ0	NUM
ejpam-5785	163	26	,	,	PUNCT
ejpam-5785	163	27	λ),l(fn+j−1ξ0	λ),l(fn+j−1ξ0	PROPN
ejpam-5785	163	28	,	,	PUNCT
ejpam-5785	163	29	f	f	PROPN
ejpam-5785	163	30	n+iξ0	n+iξ0	NUM
ejpam-5785	163	31	,	,	PUNCT
ejpam-5785	163	32	λ	λ	NOUN
ejpam-5785	163	33	)	)	PUNCT
ejpam-5785	163	34	}	}	PUNCT
ejpam-5785	163	35	.	.	PUNCT
ejpam-5785	164	1	thus	thus	ADV
ejpam-5785	164	2	,	,	PUNCT
ejpam-5785	164	3	we	we	PRON
ejpam-5785	164	4	conclude	conclude	VERB
ejpam-5785	164	5	δh(f	δh(f	NUM
ejpam-5785	164	6	nξ0	nξ0	ADJ
ejpam-5785	164	7	,	,	PUNCT
ejpam-5785	164	8	f	f	X
ejpam-5785	164	9	,	,	PUNCT
ejpam-5785	164	10	λ	λ	NOUN
ejpam-5785	164	11	)	)	PUNCT
ejpam-5785	164	12	≤	≤	PUNCT
ejpam-5785	165	1	k	k	X
ejpam-5785	165	2	δ1h(f	δ1h(f	PROPN
ejpam-5785	165	3	n−1ξ0	n−1ξ0	NOUN
ejpam-5785	165	4	,	,	PUNCT
ejpam-5785	165	5	f	f	PROPN
ejpam-5785	165	6	,	,	PUNCT
ejpam-5785	165	7	λ	λ	PROPN
ejpam-5785	165	8	)	)	PUNCT
ejpam-5785	165	9	,	,	PUNCT
ejpam-5785	165	10	δj	δj	ADP
ejpam-5785	165	11	(	(	PUNCT
ejpam-5785	165	12	f	f	NOUN
ejpam-5785	165	13	nξ0	nξ0	PROPN
ejpam-5785	165	14	,	,	PUNCT
ejpam-5785	165	15	f	f	X
ejpam-5785	165	16	,	,	PUNCT
ejpam-5785	165	17	λ	λ	NOUN
ejpam-5785	165	18	)	)	PUNCT
ejpam-5785	165	19	≤	≤	NOUN
ejpam-5785	165	20	k	k	PROPN
ejpam-5785	165	21	δ1j	δ1j	PROPN
ejpam-5785	165	22	(	(	PUNCT
ejpam-5785	165	23	f	f	PROPN
ejpam-5785	165	24	n−1ξ0	n−1ξ0	PROPN
ejpam-5785	165	25	,	,	PUNCT
ejpam-5785	165	26	f	f	PROPN
ejpam-5785	165	27	,	,	PUNCT
ejpam-5785	165	28	λ	λ	PROPN
ejpam-5785	165	29	)	)	PUNCT
ejpam-5785	165	30	,	,	PUNCT
ejpam-5785	165	31	σk(f	σk(f	NUM
ejpam-5785	165	32	nξ0	nξ0	ADV
ejpam-5785	165	33	,	,	PUNCT
ejpam-5785	165	34	f	f	X
ejpam-5785	165	35	,	,	PUNCT
ejpam-5785	165	36	λ	λ	NOUN
ejpam-5785	165	37	)	)	PUNCT
ejpam-5785	165	38	≤	≤	NOUN
ejpam-5785	165	39	k	k	PUNCT
ejpam-5785	166	1	δ2k(f	δ2k(f	PROPN
ejpam-5785	166	2	n−1ξ0	n−1ξ0	NOUN
ejpam-5785	166	3	,	,	PUNCT
ejpam-5785	166	4	f	f	PROPN
ejpam-5785	166	5	,	,	PUNCT
ejpam-5785	166	6	λ	λ	PROPN
ejpam-5785	166	7	)	)	PUNCT
ejpam-5785	166	8	,	,	PUNCT
ejpam-5785	166	9	and	and	CCONJ
ejpam-5785	166	10	σl(f	σl(f	AUX
ejpam-5785	166	11	nξ0	nξ0	ADV
ejpam-5785	166	12	,	,	PUNCT
ejpam-5785	166	13	f	f	X
ejpam-5785	166	14	,	,	PUNCT
ejpam-5785	166	15	λ	λ	NOUN
ejpam-5785	166	16	)	)	PUNCT
ejpam-5785	166	17	≤	≤	PUNCT
ejpam-5785	167	1	k	k	PUNCT
ejpam-5785	167	2	δ2l(f	δ2l(f	PROPN
ejpam-5785	167	3	n−1ξ0	n−1ξ0	NOUN
ejpam-5785	167	4	,	,	PUNCT
ejpam-5785	167	5	f	f	PROPN
ejpam-5785	167	6	,	,	PUNCT
ejpam-5785	167	7	λ	λ	PROPN
ejpam-5785	167	8	)	)	PUNCT
ejpam-5785	167	9	.	.	PUNCT
ejpam-5785	168	1	a.	a.	PROPN
ejpam-5785	168	2	bataihah	bataihah	PROPN
ejpam-5785	168	3	,	,	PUNCT
ejpam-5785	168	4	a.	a.	NOUN
ejpam-5785	168	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	168	6	/	/	SYM
ejpam-5785	168	7	eur	eur	PROPN
ejpam-5785	168	8	.	.	PUNCT
ejpam-5785	169	1	j.	j.	PROPN
ejpam-5785	169	2	pure	pure	PROPN
ejpam-5785	169	3	appl	appl	PROPN
ejpam-5785	169	4	.	.	PROPN
ejpam-5785	169	5	math	math	PROPN
ejpam-5785	169	6	,	,	PUNCT
ejpam-5785	169	7	18	18	NUM
ejpam-5785	169	8	(	(	PUNCT
ejpam-5785	169	9	1	1	NUM
ejpam-5785	169	10	)	)	PUNCT
ejpam-5785	169	11	(	(	PUNCT
ejpam-5785	169	12	2025	2025	NUM
ejpam-5785	169	13	)	)	PUNCT
ejpam-5785	169	14	,	,	PUNCT
ejpam-5785	169	15	5785	5785	NUM
ejpam-5785	169	16	9	9	NUM
ejpam-5785	169	17	of	of	ADP
ejpam-5785	169	18	15	15	NUM
ejpam-5785	169	19	hence	hence	ADV
ejpam-5785	169	20	,	,	PUNCT
ejpam-5785	169	21	we	we	PRON
ejpam-5785	169	22	conclude	conclude	VERB
ejpam-5785	169	23	that	that	SCONJ
ejpam-5785	169	24	for	for	ADP
ejpam-5785	169	25	each	each	DET
ejpam-5785	169	26	n	n	PRON
ejpam-5785	169	27	≥	≥	NUM
ejpam-5785	169	28	1	1	NUM
ejpam-5785	169	29	δh(f	δh(f	ADP
ejpam-5785	169	30	nξ0	nξ0	ADJ
ejpam-5785	169	31	,	,	PUNCT
ejpam-5785	169	32	f	f	X
ejpam-5785	169	33	,	,	PUNCT
ejpam-5785	169	34	λ	λ	NOUN
ejpam-5785	169	35	)	)	PUNCT
ejpam-5785	169	36	≤	≤	PUNCT
ejpam-5785	170	1	kn	kn	PROPN
ejpam-5785	170	2	δ1h(ξ0	δ1h(ξ0	PROPN
ejpam-5785	170	3	,	,	PUNCT
ejpam-5785	170	4	f	f	PROPN
ejpam-5785	170	5	,	,	PUNCT
ejpam-5785	170	6	λ	λ	PROPN
ejpam-5785	170	7	)	)	PUNCT
ejpam-5785	170	8	,	,	PUNCT
ejpam-5785	170	9	δj	δj	ADP
ejpam-5785	170	10	(	(	PUNCT
ejpam-5785	170	11	f	f	NOUN
ejpam-5785	170	12	nξ0	nξ0	PROPN
ejpam-5785	170	13	,	,	PUNCT
ejpam-5785	170	14	f	f	X
ejpam-5785	170	15	,	,	PUNCT
ejpam-5785	170	16	λ	λ	NOUN
ejpam-5785	170	17	)	)	PUNCT
ejpam-5785	170	18	≤	≤	NOUN
ejpam-5785	171	1	kn	kn	PROPN
ejpam-5785	171	2	δ1j	δ1j	PROPN
ejpam-5785	171	3	(	(	PUNCT
ejpam-5785	171	4	ξ0	ξ0	PROPN
ejpam-5785	171	5	,	,	PUNCT
ejpam-5785	171	6	f	f	PROPN
ejpam-5785	171	7	,	,	PUNCT
ejpam-5785	171	8	λ	λ	PROPN
ejpam-5785	171	9	)	)	PUNCT
ejpam-5785	171	10	,	,	PUNCT
ejpam-5785	171	11	σk(f	σk(f	NUM
ejpam-5785	171	12	nξ0	nξ0	ADV
ejpam-5785	171	13	,	,	PUNCT
ejpam-5785	171	14	f	f	X
ejpam-5785	171	15	,	,	PUNCT
ejpam-5785	171	16	λ	λ	NOUN
ejpam-5785	171	17	)	)	PUNCT
ejpam-5785	171	18	≤	≤	NOUN
ejpam-5785	171	19	kn	kn	PROPN
ejpam-5785	171	20	δ2k(ξ0	δ2k(ξ0	PROPN
ejpam-5785	171	21	,	,	PUNCT
ejpam-5785	171	22	f	f	PROPN
ejpam-5785	171	23	,	,	PUNCT
ejpam-5785	171	24	λ	λ	PROPN
ejpam-5785	171	25	)	)	PUNCT
ejpam-5785	171	26	,	,	PUNCT
ejpam-5785	171	27	and	and	CCONJ
ejpam-5785	171	28	σl(f	σl(f	X
ejpam-5785	171	29	nξ0	nξ0	ADV
ejpam-5785	171	30	,	,	PUNCT
ejpam-5785	171	31	f	f	X
ejpam-5785	171	32	,	,	PUNCT
ejpam-5785	171	33	λ	λ	NOUN
ejpam-5785	171	34	)	)	PUNCT
ejpam-5785	171	35	≤	≤	NOUN
ejpam-5785	171	36	kn	kn	PROPN
ejpam-5785	171	37	δ2l(ξ0	δ2l(ξ0	PROPN
ejpam-5785	171	38	,	,	PUNCT
ejpam-5785	171	39	f	f	PROPN
ejpam-5785	171	40	,	,	PUNCT
ejpam-5785	171	41	λ	λ	PROPN
ejpam-5785	171	42	)	)	PUNCT
ejpam-5785	171	43	.	.	PUNCT
ejpam-5785	172	1	the	the	DET
ejpam-5785	172	2	above	above	ADJ
ejpam-5785	172	3	inequalities	inequality	NOUN
ejpam-5785	172	4	,	,	PUNCT
ejpam-5785	172	5	gives	give	VERB
ejpam-5785	172	6	1	1	NUM
ejpam-5785	172	7	h(fnξ0	h(fnξ0	ADJ
ejpam-5785	172	8	,	,	PUNCT
ejpam-5785	172	9	fn+mξ0	fn+mξ0	PROPN
ejpam-5785	172	10	,	,	PUNCT
ejpam-5785	172	11	λ	λ	PROPN
ejpam-5785	172	12	)	)	PUNCT
ejpam-5785	172	13	−	−	PROPN
ejpam-5785	172	14	1	1	NUM
ejpam-5785	172	15	≤	≤	NOUN
ejpam-5785	172	16	δh(f	δh(f	X
ejpam-5785	172	17	nξ0	nξ0	ADJ
ejpam-5785	172	18	,	,	PUNCT
ejpam-5785	172	19	f	f	X
ejpam-5785	172	20	,	,	PUNCT
ejpam-5785	172	21	λ	λ	NOUN
ejpam-5785	172	22	)	)	PUNCT
ejpam-5785	172	23	≤	≤	PUNCT
ejpam-5785	173	1	kn	kn	PROPN
ejpam-5785	173	2	δ1h(ξ0	δ1h(ξ0	PROPN
ejpam-5785	173	3	,	,	PUNCT
ejpam-5785	173	4	f	f	PROPN
ejpam-5785	173	5	,	,	PUNCT
ejpam-5785	173	6	λ	λ	PROPN
ejpam-5785	173	7	)	)	PUNCT
ejpam-5785	173	8	,	,	PUNCT
ejpam-5785	173	9	1	1	NUM
ejpam-5785	173	10	j	j	PROPN
ejpam-5785	173	11	(	(	PUNCT
ejpam-5785	173	12	fnξ0	fnξ0	PROPN
ejpam-5785	173	13	,	,	PUNCT
ejpam-5785	173	14	fn+mξ0	fn+mξ0	PROPN
ejpam-5785	173	15	,	,	PUNCT
ejpam-5785	173	16	λ	λ	PROPN
ejpam-5785	173	17	)	)	PUNCT
ejpam-5785	173	18	−	−	PROPN
ejpam-5785	173	19	1	1	NUM
ejpam-5785	173	20	≤	≤	NOUN
ejpam-5785	173	21	δj	δj	NOUN
ejpam-5785	173	22	(	(	PUNCT
ejpam-5785	173	23	f	f	NOUN
ejpam-5785	173	24	nξ0	nξ0	PROPN
ejpam-5785	173	25	,	,	PUNCT
ejpam-5785	173	26	f	f	X
ejpam-5785	173	27	,	,	PUNCT
ejpam-5785	173	28	λ	λ	NOUN
ejpam-5785	173	29	)	)	PUNCT
ejpam-5785	173	30	≤	≤	NOUN
ejpam-5785	174	1	kn	kn	PROPN
ejpam-5785	174	2	δ1j	δ1j	PROPN
ejpam-5785	174	3	(	(	PUNCT
ejpam-5785	174	4	ξ0	ξ0	PROPN
ejpam-5785	174	5	,	,	PUNCT
ejpam-5785	174	6	f	f	PROPN
ejpam-5785	174	7	,	,	PUNCT
ejpam-5785	174	8	λ	λ	PROPN
ejpam-5785	174	9	)	)	PUNCT
ejpam-5785	174	10	,	,	PUNCT
ejpam-5785	174	11	k(fnξ0	k(fnξ0	PROPN
ejpam-5785	174	12	,	,	PUNCT
ejpam-5785	174	13	f	f	PROPN
ejpam-5785	174	14	n+mξ0	n+mξ0	PROPN
ejpam-5785	174	15	,	,	PUNCT
ejpam-5785	174	16	λ	λ	NOUN
ejpam-5785	174	17	)	)	PUNCT
ejpam-5785	174	18	≤	≤	NOUN
ejpam-5785	174	19	σk(f	σk(f	NUM
ejpam-5785	174	20	nξ0	nξ0	ADJ
ejpam-5785	174	21	,	,	PUNCT
ejpam-5785	174	22	f	f	X
ejpam-5785	174	23	,	,	PUNCT
ejpam-5785	174	24	λ	λ	NOUN
ejpam-5785	174	25	)	)	PUNCT
ejpam-5785	174	26	≤	≤	NOUN
ejpam-5785	175	1	kn	kn	PROPN
ejpam-5785	175	2	δ2k(ξ0	δ2k(ξ0	PROPN
ejpam-5785	175	3	,	,	PUNCT
ejpam-5785	175	4	f	f	PROPN
ejpam-5785	175	5	,	,	PUNCT
ejpam-5785	175	6	λ	λ	PROPN
ejpam-5785	175	7	)	)	PUNCT
ejpam-5785	175	8	,	,	PUNCT
ejpam-5785	175	9	and	and	CCONJ
ejpam-5785	175	10	l(fnξ0	l(fnξ0	ADJ
ejpam-5785	175	11	,	,	PUNCT
ejpam-5785	175	12	fn+mξ0	fn+mξ0	PROPN
ejpam-5785	175	13	,	,	PUNCT
ejpam-5785	175	14	λ	λ	NOUN
ejpam-5785	175	15	)	)	PUNCT
ejpam-5785	175	16	≤	≤	NOUN
ejpam-5785	175	17	σl(f	σl(f	PUNCT
ejpam-5785	175	18	nξ0	nξ0	ADJ
ejpam-5785	175	19	,	,	PUNCT
ejpam-5785	175	20	f	f	X
ejpam-5785	175	21	,	,	PUNCT
ejpam-5785	175	22	λ	λ	NOUN
ejpam-5785	175	23	)	)	PUNCT
ejpam-5785	175	24	≤	≤	NOUN
ejpam-5785	176	1	kn	kn	PROPN
ejpam-5785	176	2	δ2l(ξ0	δ2l(ξ0	PROPN
ejpam-5785	176	3	,	,	PUNCT
ejpam-5785	176	4	f	f	PROPN
ejpam-5785	176	5	,	,	PUNCT
ejpam-5785	176	6	λ	λ	PROPN
ejpam-5785	176	7	)	)	PUNCT
ejpam-5785	176	8	.	.	PUNCT
ejpam-5785	177	1	by	by	ADP
ejpam-5785	177	2	considering	consider	VERB
ejpam-5785	177	3	the	the	DET
ejpam-5785	177	4	limit	limit	NOUN
ejpam-5785	177	5	as	as	ADP
ejpam-5785	177	6	both	both	PRON
ejpam-5785	177	7	n	n	NOUN
ejpam-5785	177	8	and	and	CCONJ
ejpam-5785	177	9	m	m	VERB
ejpam-5785	177	10	tend	tend	VERB
ejpam-5785	177	11	to	to	PART
ejpam-5785	177	12	infinity	infinity	VERB
ejpam-5785	177	13	,	,	PUNCT
ejpam-5785	177	14	we	we	PRON
ejpam-5785	177	15	obtain	obtain	VERB
ejpam-5785	177	16	that	that	SCONJ
ejpam-5785	177	17	lim	lim	PROPN
ejpam-5785	177	18	n	n	CCONJ
ejpam-5785	177	19	,	,	PUNCT
ejpam-5785	177	20	m→+∞	m→+∞	PROPN
ejpam-5785	177	21	h(fnξ0	h(fnξ0	PROPN
ejpam-5785	177	22	,	,	PUNCT
ejpam-5785	177	23	f	f	PROPN
ejpam-5785	177	24	n+mξ0	n+mξ0	PROPN
ejpam-5785	177	25	,	,	PUNCT
ejpam-5785	177	26	λ	λ	X
ejpam-5785	177	27	)	)	PUNCT
ejpam-5785	177	28	=	=	SYM
ejpam-5785	177	29	1	1	NUM
ejpam-5785	177	30	,	,	PUNCT
ejpam-5785	177	31	lim	lim	PROPN
ejpam-5785	177	32	n	n	CCONJ
ejpam-5785	177	33	,	,	PUNCT
ejpam-5785	177	34	m→+∞	m→+∞	PROPN
ejpam-5785	177	35	j	j	PROPN
ejpam-5785	177	36	(	(	PUNCT
ejpam-5785	177	37	fnξ0	fnξ0	PROPN
ejpam-5785	177	38	,	,	PUNCT
ejpam-5785	177	39	f	f	PROPN
ejpam-5785	177	40	n+mξ0	n+mξ0	PROPN
ejpam-5785	177	41	,	,	PUNCT
ejpam-5785	177	42	λ	λ	X
ejpam-5785	177	43	)	)	PUNCT
ejpam-5785	178	1	=	=	SYM
ejpam-5785	178	2	1	1	NUM
ejpam-5785	178	3	,	,	PUNCT
ejpam-5785	178	4	lim	lim	PROPN
ejpam-5785	178	5	n	n	CCONJ
ejpam-5785	178	6	,	,	PUNCT
ejpam-5785	178	7	m→+∞	m→+∞	PROPN
ejpam-5785	178	8	k(fnξ0	k(fnξ0	PROPN
ejpam-5785	178	9	,	,	PUNCT
ejpam-5785	178	10	f	f	PROPN
ejpam-5785	178	11	n+mξ0	n+mξ0	PROPN
ejpam-5785	178	12	,	,	PUNCT
ejpam-5785	178	13	λ	λ	X
ejpam-5785	178	14	)	)	PUNCT
ejpam-5785	178	15	=	=	SYM
ejpam-5785	178	16	0	0	PROPN
ejpam-5785	178	17	,	,	PUNCT
ejpam-5785	178	18	lim	lim	PROPN
ejpam-5785	178	19	n	n	CCONJ
ejpam-5785	178	20	,	,	PUNCT
ejpam-5785	178	21	m→+∞	m→+∞	PROPN
ejpam-5785	178	22	l(fnξ0	l(fnξ0	NOUN
ejpam-5785	178	23	,	,	PUNCT
ejpam-5785	178	24	fn+mξ0	fn+mξ0	PROPN
ejpam-5785	178	25	,	,	PUNCT
ejpam-5785	178	26	λ	λ	NOUN
ejpam-5785	178	27	)	)	PUNCT
ejpam-5785	178	28	=	=	SYM
ejpam-5785	178	29	0	0	NUM
ejpam-5785	178	30	,	,	PUNCT
ejpam-5785	178	31	consequently	consequently	ADV
ejpam-5785	178	32	,	,	PUNCT
ejpam-5785	178	33	the	the	DET
ejpam-5785	178	34	sequence	sequence	NOUN
ejpam-5785	178	35	(	(	PUNCT
ejpam-5785	178	36	fnξ0	fnξ0	ADJ
ejpam-5785	178	37	)	)	PUNCT
ejpam-5785	178	38	qualifies	qualifie	NOUN
ejpam-5785	178	39	as	as	ADP
ejpam-5785	178	40	a	a	DET
ejpam-5785	178	41	cauchy	cauchy	ADJ
ejpam-5785	178	42	sequence	sequence	NOUN
ejpam-5785	178	43	,	,	PUNCT
ejpam-5785	178	44	which	which	PRON
ejpam-5785	178	45	implies	imply	VERB
ejpam-5785	178	46	the	the	DET
ejpam-5785	178	47	existence	existence	NOUN
ejpam-5785	178	48	of	of	ADP
ejpam-5785	178	49	an	an	DET
ejpam-5785	178	50	element	element	NOUN
ejpam-5785	178	51	u	u	NOUN
ejpam-5785	178	52	∈	∈	PROPN
ejpam-5785	178	53	x	x	PUNCT
ejpam-5785	178	54	such	such	ADJ
ejpam-5785	178	55	that	that	DET
ejpam-5785	178	56	fnξ0	fnξ0	ADJ
ejpam-5785	178	57	converges	converge	NOUN
ejpam-5785	178	58	to	to	PART
ejpam-5785	178	59	u.	u.	VERB
ejpam-5785	178	60	if	if	SCONJ
ejpam-5785	178	61	(	(	PUNCT
ejpam-5785	178	62	*	*	NOUN
ejpam-5785	178	63	)	)	PUNCT
ejpam-5785	178	64	holds	hold	NOUN
ejpam-5785	178	65	,	,	PUNCT
ejpam-5785	178	66	(	(	PUNCT
ejpam-5785	178	67	i.e.	i.e.	X
ejpam-5785	178	68	,	,	PUNCT
ejpam-5785	178	69	f	f	PROPN
ejpam-5785	178	70	is	be	AUX
ejpam-5785	178	71	continuous	continuous	ADJ
ejpam-5785	178	72	)	)	PUNCT
ejpam-5785	178	73	,	,	PUNCT
ejpam-5785	178	74	then	then	ADV
ejpam-5785	178	75	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	178	76	=	=	SYM
ejpam-5785	178	77	ffnξ0	ffnξ0	ADJ
ejpam-5785	178	78	→	→	SYM
ejpam-5785	178	79	fu	fu	NOUN
ejpam-5785	178	80	and	and	CCONJ
ejpam-5785	178	81	so	so	ADV
ejpam-5785	178	82	,	,	PUNCT
ejpam-5785	178	83	u	u	NOUN
ejpam-5785	178	84	=	=	PROPN
ejpam-5785	178	85	fu	fu	PROPN
ejpam-5785	178	86	.	.	PUNCT
ejpam-5785	179	1	if	if	SCONJ
ejpam-5785	179	2	(	(	PUNCT
ejpam-5785	179	3	*	*	NOUN
ejpam-5785	179	4	*	*	NOUN
ejpam-5785	179	5	)	)	PUNCT
ejpam-5785	179	6	holds	hold	NOUN
ejpam-5785	179	7	,	,	PUNCT
ejpam-5785	179	8	then	then	ADV
ejpam-5785	179	9	definition	definition	NOUN
ejpam-5785	179	10	9	9	NUM
ejpam-5785	179	11	implies	imply	VERB
ejpam-5785	179	12	that	that	SCONJ
ejpam-5785	179	13	1	1	NUM
ejpam-5785	179	14	h(fu	h(fu	PROPN
ejpam-5785	179	15	,	,	PUNCT
ejpam-5785	179	16	fn+1ξ0,λ	fn+1ξ0,λ	NOUN
ejpam-5785	179	17	)	)	PUNCT
ejpam-5785	179	18	−	−	ADP
ejpam-5785	179	19	1	1	NUM
ejpam-5785	179	20	≤	≤	NUM
ejpam-5785	179	21	k	k	PRON
ejpam-5785	179	22	max	max	PROPN
ejpam-5785	179	23	{	{	PUNCT
ejpam-5785	179	24	1	1	NUM
ejpam-5785	179	25	h(u	h(u	PROPN
ejpam-5785	179	26	,	,	PUNCT
ejpam-5785	179	27	fnξ0,λ	fnξ0,λ	NOUN
ejpam-5785	179	28	)	)	PUNCT
ejpam-5785	179	29	−	−	PROPN
ejpam-5785	179	30	1	1	NUM
ejpam-5785	179	31	,	,	PUNCT
ejpam-5785	179	32	1	1	NUM
ejpam-5785	179	33	h(u	h(u	PROPN
ejpam-5785	179	34	,	,	PUNCT
ejpam-5785	179	35	fu	fu	NOUN
ejpam-5785	179	36	,	,	PUNCT
ejpam-5785	179	37	λ	λ	NOUN
ejpam-5785	179	38	)	)	PUNCT
ejpam-5785	179	39	−	−	PROPN
ejpam-5785	179	40	1	1	NUM
ejpam-5785	179	41	,	,	PUNCT
ejpam-5785	179	42	1	1	NUM
ejpam-5785	179	43	h(fnξ0,fn+1ξ0,λ	h(fnξ0,fn+1ξ0,λ	NOUN
ejpam-5785	179	44	)	)	PUNCT
ejpam-5785	180	1	−	−	ADP
ejpam-5785	180	2	1	1	NUM
ejpam-5785	180	3	,	,	PUNCT
ejpam-5785	180	4	1	1	NUM
ejpam-5785	180	5	h(u	h(u	PROPN
ejpam-5785	180	6	,	,	PUNCT
ejpam-5785	180	7	fn+1ξ0,λ	fn+1ξ0,λ	NOUN
ejpam-5785	180	8	)	)	PUNCT
ejpam-5785	180	9	−	−	ADP
ejpam-5785	180	10	1	1	NUM
ejpam-5785	180	11	,	,	PUNCT
ejpam-5785	180	12	1	1	NUM
ejpam-5785	180	13	h(fnξ0,fu	h(fnξ0,fu	NOUN
ejpam-5785	180	14	,	,	PUNCT
ejpam-5785	180	15	λ	λ	NOUN
ejpam-5785	180	16	)	)	PUNCT
ejpam-5785	180	17	−	−	PROPN
ejpam-5785	180	18	1	1	NUM
ejpam-5785	180	19	}	}	PUNCT
ejpam-5785	180	20	,	,	PUNCT
ejpam-5785	180	21	1	1	NUM
ejpam-5785	180	22	j	j	PROPN
ejpam-5785	180	23	(	(	PUNCT
ejpam-5785	180	24	fu	fu	ADJ
ejpam-5785	180	25	,	,	PUNCT
ejpam-5785	180	26	fn+1ξ0,λ	fn+1ξ0,λ	NOUN
ejpam-5785	180	27	)	)	PUNCT
ejpam-5785	180	28	−	−	ADP
ejpam-5785	180	29	1	1	NUM
ejpam-5785	180	30	≤	≤	NUM
ejpam-5785	180	31	k	k	PRON
ejpam-5785	180	32	max	max	PROPN
ejpam-5785	180	33	{	{	PUNCT
ejpam-5785	180	34	1	1	NUM
ejpam-5785	180	35	j	j	PROPN
ejpam-5785	180	36	(	(	PUNCT
ejpam-5785	180	37	u	u	NOUN
ejpam-5785	180	38	,	,	PUNCT
ejpam-5785	180	39	fnξ0,λ	fnξ0,λ	NOUN
ejpam-5785	180	40	)	)	PUNCT
ejpam-5785	180	41	−	−	PROPN
ejpam-5785	180	42	1	1	NUM
ejpam-5785	180	43	,	,	PUNCT
ejpam-5785	180	44	1	1	NUM
ejpam-5785	180	45	j	j	PROPN
ejpam-5785	180	46	(	(	PUNCT
ejpam-5785	180	47	u	u	PROPN
ejpam-5785	180	48	,	,	PUNCT
ejpam-5785	180	49	fu	fu	ADJ
ejpam-5785	180	50	,	,	PUNCT
ejpam-5785	180	51	λ	λ	NOUN
ejpam-5785	180	52	)	)	PUNCT
ejpam-5785	180	53	−	−	PROPN
ejpam-5785	180	54	1	1	NUM
ejpam-5785	180	55	,	,	PUNCT
ejpam-5785	180	56	1	1	NUM
ejpam-5785	180	57	j	j	PROPN
ejpam-5785	180	58	(	(	PUNCT
ejpam-5785	180	59	fnξ0,fn+1ξ0,λ	fnξ0,fn+1ξ0,λ	PROPN
ejpam-5785	180	60	)	)	PUNCT
ejpam-5785	181	1	−	−	PROPN
ejpam-5785	181	2	1	1	NUM
ejpam-5785	181	3	,	,	PUNCT
ejpam-5785	181	4	1	1	NUM
ejpam-5785	181	5	j	j	PROPN
ejpam-5785	181	6	(	(	PUNCT
ejpam-5785	181	7	u	u	NOUN
ejpam-5785	181	8	,	,	PUNCT
ejpam-5785	181	9	fn+1ξ0,λ	fn+1ξ0,λ	NOUN
ejpam-5785	181	10	)	)	PUNCT
ejpam-5785	181	11	−	−	ADP
ejpam-5785	182	1	1	1	NUM
ejpam-5785	182	2	,	,	PUNCT
ejpam-5785	182	3	1	1	NUM
ejpam-5785	182	4	j	j	PROPN
ejpam-5785	182	5	(	(	PUNCT
ejpam-5785	182	6	fnξ0,fu	fnξ0,fu	PROPN
ejpam-5785	182	7	,	,	PUNCT
ejpam-5785	182	8	λ	λ	PROPN
ejpam-5785	182	9	)	)	PUNCT
ejpam-5785	182	10	−	−	PROPN
ejpam-5785	182	11	1	1	NUM
ejpam-5785	182	12	}	}	PUNCT
ejpam-5785	182	13	,	,	PUNCT
ejpam-5785	182	14	a.	a.	NOUN
ejpam-5785	182	15	bataihah	bataihah	PROPN
ejpam-5785	182	16	,	,	PUNCT
ejpam-5785	182	17	a.	a.	NOUN
ejpam-5785	182	18	hazaymeh	hazaymeh	NOUN
ejpam-5785	182	19	/	/	SYM
ejpam-5785	182	20	eur	eur	PROPN
ejpam-5785	182	21	.	.	PUNCT
ejpam-5785	183	1	j.	j.	PROPN
ejpam-5785	183	2	pure	pure	PROPN
ejpam-5785	183	3	appl	appl	PROPN
ejpam-5785	183	4	.	.	PROPN
ejpam-5785	183	5	math	math	PROPN
ejpam-5785	183	6	,	,	PUNCT
ejpam-5785	183	7	18	18	NUM
ejpam-5785	183	8	(	(	PUNCT
ejpam-5785	183	9	1	1	NUM
ejpam-5785	183	10	)	)	PUNCT
ejpam-5785	183	11	(	(	PUNCT
ejpam-5785	183	12	2025	2025	NUM
ejpam-5785	183	13	)	)	PUNCT
ejpam-5785	183	14	,	,	PUNCT
ejpam-5785	183	15	5785	5785	NUM
ejpam-5785	183	16	10	10	NUM
ejpam-5785	183	17	of	of	ADP
ejpam-5785	183	18	15	15	NUM
ejpam-5785	183	19	k(fu	k(fu	NOUN
ejpam-5785	183	20	,	,	PUNCT
ejpam-5785	183	21	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	183	22	,	,	PUNCT
ejpam-5785	183	23	λ	λ	NOUN
ejpam-5785	183	24	)	)	PUNCT
ejpam-5785	183	25	≤	≤	PUNCT
ejpam-5785	184	1	k	k	PROPN
ejpam-5785	184	2	max	max	PROPN
ejpam-5785	184	3	{	{	PUNCT
ejpam-5785	184	4	k(u	k(u	X
ejpam-5785	184	5	,	,	PUNCT
ejpam-5785	184	6	fnξ0	fnξ0	ADJ
ejpam-5785	184	7	,	,	PUNCT
ejpam-5785	184	8	λ),k(u	λ),k(u	X
ejpam-5785	184	9	,	,	PUNCT
ejpam-5785	184	10	fu	fu	NOUN
ejpam-5785	184	11	,	,	PUNCT
ejpam-5785	184	12	λ),k(fnξ0	λ),k(fnξ0	PROPN
ejpam-5785	184	13	,	,	PUNCT
ejpam-5785	184	14	f	f	PROPN
ejpam-5785	184	15	n+1ξ0	n+1ξ0	PROPN
ejpam-5785	184	16	,	,	PUNCT
ejpam-5785	184	17	λ	λ	PROPN
ejpam-5785	184	18	)	)	PUNCT
ejpam-5785	184	19	,	,	PUNCT
ejpam-5785	184	20	k(u	k(u	X
ejpam-5785	184	21	,	,	PUNCT
ejpam-5785	184	22	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	184	23	,	,	PUNCT
ejpam-5785	184	24	λ),k(fnξ0	λ),k(fnξ0	PROPN
ejpam-5785	184	25	,	,	PUNCT
ejpam-5785	184	26	fu	fu	NOUN
ejpam-5785	184	27	,	,	PUNCT
ejpam-5785	184	28	λ	λ	NOUN
ejpam-5785	184	29	)	)	PUNCT
ejpam-5785	184	30	}	}	PUNCT
ejpam-5785	184	31	,	,	PUNCT
ejpam-5785	184	32	and	and	CCONJ
ejpam-5785	184	33	l(fu	l(fu	PROPN
ejpam-5785	184	34	,	,	PUNCT
ejpam-5785	184	35	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	184	36	,	,	PUNCT
ejpam-5785	184	37	λ	λ	NOUN
ejpam-5785	184	38	)	)	PUNCT
ejpam-5785	184	39	≤	≤	PUNCT
ejpam-5785	184	40	k	k	PROPN
ejpam-5785	184	41	max	max	PROPN
ejpam-5785	184	42	{	{	PUNCT
ejpam-5785	184	43	l(u	l(u	PROPN
ejpam-5785	184	44	,	,	PUNCT
ejpam-5785	184	45	fnξ0	fnξ0	ADJ
ejpam-5785	184	46	,	,	PUNCT
ejpam-5785	184	47	λ),l(u	λ),l(u	PROPN
ejpam-5785	184	48	,	,	PUNCT
ejpam-5785	184	49	fu	fu	PROPN
ejpam-5785	184	50	,	,	PUNCT
ejpam-5785	184	51	λ),l(fnξ0	λ),l(fnξ0	PROPN
ejpam-5785	184	52	,	,	PUNCT
ejpam-5785	184	53	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	184	54	,	,	PUNCT
ejpam-5785	184	55	λ	λ	NOUN
ejpam-5785	184	56	)	)	PUNCT
ejpam-5785	184	57	,	,	PUNCT
ejpam-5785	184	58	l(u	l(u	PROPN
ejpam-5785	184	59	,	,	PUNCT
ejpam-5785	184	60	fn+1ξ0	fn+1ξ0	PROPN
ejpam-5785	184	61	,	,	PUNCT
ejpam-5785	184	62	λ),l(fnξ0	λ),l(fnξ0	NUM
ejpam-5785	184	63	,	,	PUNCT
ejpam-5785	184	64	fu	fu	NOUN
ejpam-5785	184	65	,	,	PUNCT
ejpam-5785	184	66	λ	λ	NOUN
ejpam-5785	184	67	)	)	PUNCT
ejpam-5785	184	68	}	}	PUNCT
ejpam-5785	184	69	.	.	PUNCT
ejpam-5785	185	1	by	by	ADP
ejpam-5785	185	2	evaluating	evaluate	VERB
ejpam-5785	185	3	the	the	DET
ejpam-5785	185	4	limit	limit	NOUN
ejpam-5785	185	5	,	,	PUNCT
ejpam-5785	185	6	we	we	PRON
ejpam-5785	185	7	obtain	obtain	VERB
ejpam-5785	185	8	(	(	PUNCT
ejpam-5785	185	9	1−	1−	NUM
ejpam-5785	185	10	k	k	NOUN
ejpam-5785	185	11	)	)	PUNCT
ejpam-5785	185	12	(	(	PUNCT
ejpam-5785	185	13	1	1	NUM
ejpam-5785	185	14	h(fu	h(fu	PROPN
ejpam-5785	185	15	,	,	PUNCT
ejpam-5785	185	16	u	u	NOUN
ejpam-5785	185	17	,	,	PUNCT
ejpam-5785	185	18	λ	λ	PROPN
ejpam-5785	185	19	)	)	PUNCT
ejpam-5785	185	20	−	−	PROPN
ejpam-5785	185	21	1	1	NUM
ejpam-5785	185	22	)	)	PUNCT
ejpam-5785	185	23	≤	≤	NOUN
ejpam-5785	185	24	0	0	NUM
ejpam-5785	185	25	,	,	PUNCT
ejpam-5785	185	26	(	(	PUNCT
ejpam-5785	185	27	1−	1−	NUM
ejpam-5785	185	28	k	k	NOUN
ejpam-5785	185	29	)	)	PUNCT
ejpam-5785	185	30	(	(	PUNCT
ejpam-5785	185	31	1	1	NUM
ejpam-5785	185	32	j	j	PROPN
ejpam-5785	185	33	(	(	PUNCT
ejpam-5785	185	34	fu	fu	PROPN
ejpam-5785	185	35	,	,	PUNCT
ejpam-5785	185	36	u	u	NOUN
ejpam-5785	185	37	,	,	PUNCT
ejpam-5785	185	38	λ	λ	PROPN
ejpam-5785	185	39	)	)	PUNCT
ejpam-5785	185	40	−	−	PROPN
ejpam-5785	185	41	1	1	NUM
ejpam-5785	185	42	)	)	PUNCT
ejpam-5785	185	43	≤	≤	NOUN
ejpam-5785	185	44	0	0	NUM
ejpam-5785	185	45	,	,	PUNCT
ejpam-5785	185	46	(	(	PUNCT
ejpam-5785	185	47	1−	1−	NUM
ejpam-5785	185	48	k	k	NOUN
ejpam-5785	185	49	)	)	PUNCT
ejpam-5785	185	50	k(fu	k(fu	PROPN
ejpam-5785	185	51	,	,	PUNCT
ejpam-5785	185	52	u	u	NOUN
ejpam-5785	185	53	,	,	PUNCT
ejpam-5785	185	54	λ	λ	NOUN
ejpam-5785	185	55	)	)	PUNCT
ejpam-5785	185	56	≤	≤	NOUN
ejpam-5785	185	57	0	0	NUM
ejpam-5785	185	58	,	,	PUNCT
ejpam-5785	185	59	(	(	PUNCT
ejpam-5785	185	60	1−	1−	NUM
ejpam-5785	185	61	k	k	NOUN
ejpam-5785	185	62	)	)	PUNCT
ejpam-5785	185	63	l(fu	l(fu	VERB
ejpam-5785	185	64	,	,	PUNCT
ejpam-5785	185	65	u	u	NOUN
ejpam-5785	185	66	,	,	PUNCT
ejpam-5785	185	67	λ	λ	NOUN
ejpam-5785	185	68	)	)	PUNCT
ejpam-5785	185	69	≤	≤	NOUN
ejpam-5785	185	70	0	0	NUM
ejpam-5785	185	71	.	.	PUNCT
ejpam-5785	186	1	hence	hence	ADV
ejpam-5785	186	2	u	u	NOUN
ejpam-5785	186	3	=	=	PROPN
ejpam-5785	186	4	fu	fu	PROPN
ejpam-5785	186	5	.	.	PUNCT
ejpam-5785	187	1	let	let	VERB
ejpam-5785	187	2	y	y	PROPN
ejpam-5785	187	3	∈	∈	PROPN
ejpam-5785	187	4	x	x	PUNCT
ejpam-5785	187	5	such	such	ADJ
ejpam-5785	187	6	that	that	SCONJ
ejpam-5785	187	7	y	y	PROPN
ejpam-5785	187	8	=	=	SYM
ejpam-5785	187	9	fy	fy	PROPN
ejpam-5785	187	10	.	.	PUNCT
ejpam-5785	188	1	if	if	SCONJ
ejpam-5785	188	2	u	u	PROPN
ejpam-5785	188	3	̸=	̸=	PROPN
ejpam-5785	188	4	y	y	PROPN
ejpam-5785	188	5	,	,	PUNCT
ejpam-5785	188	6	then	then	ADV
ejpam-5785	188	7	according	accord	VERB
ejpam-5785	188	8	to	to	ADP
ejpam-5785	188	9	definition	definition	NOUN
ejpam-5785	188	10	9	9	NUM
ejpam-5785	188	11	,	,	PUNCT
ejpam-5785	188	12	it	it	PRON
ejpam-5785	188	13	can	can	AUX
ejpam-5785	188	14	be	be	AUX
ejpam-5785	188	15	inferred	infer	VERB
ejpam-5785	188	16	that	that	SCONJ
ejpam-5785	188	17	.	.	PUNCT
ejpam-5785	189	1	1	1	NUM
ejpam-5785	189	2	h(u	h(u	PROPN
ejpam-5785	189	3	,	,	PUNCT
ejpam-5785	189	4	y	y	PROPN
ejpam-5785	189	5	,	,	PUNCT
ejpam-5785	189	6	λ	λ	PROPN
ejpam-5785	189	7	)	)	PUNCT
ejpam-5785	189	8	−	−	NOUN
ejpam-5785	189	9	1	1	NUM
ejpam-5785	189	10	=	=	SYM
ejpam-5785	189	11	1	1	NUM
ejpam-5785	189	12	h(fu	h(fu	PROPN
ejpam-5785	189	13	,	,	PUNCT
ejpam-5785	189	14	fy	fy	PROPN
ejpam-5785	189	15	,	,	PUNCT
ejpam-5785	189	16	λ	λ	PROPN
ejpam-5785	189	17	)	)	PUNCT
ejpam-5785	189	18	−	−	PROPN
ejpam-5785	189	19	1	1	NUM
ejpam-5785	189	20	≤	≤	NUM
ejpam-5785	189	21	k	k	PRON
ejpam-5785	189	22	max	max	PROPN
ejpam-5785	189	23	{	{	PUNCT
ejpam-5785	189	24	1	1	NUM
ejpam-5785	189	25	h(u	h(u	PROPN
ejpam-5785	189	26	,	,	PUNCT
ejpam-5785	189	27	y	y	PROPN
ejpam-5785	189	28	,	,	PUNCT
ejpam-5785	189	29	λ	λ	PROPN
ejpam-5785	189	30	)	)	PUNCT
ejpam-5785	189	31	−	−	PROPN
ejpam-5785	189	32	1	1	NUM
ejpam-5785	189	33	,	,	PUNCT
ejpam-5785	189	34	1	1	NUM
ejpam-5785	189	35	h(u	h(u	PROPN
ejpam-5785	189	36	,	,	PUNCT
ejpam-5785	189	37	u	u	NOUN
ejpam-5785	189	38	,	,	PUNCT
ejpam-5785	189	39	λ	λ	NOUN
ejpam-5785	189	40	)	)	PUNCT
ejpam-5785	189	41	−	−	PROPN
ejpam-5785	189	42	1	1	NUM
ejpam-5785	189	43	,	,	PUNCT
ejpam-5785	189	44	1	1	NUM
ejpam-5785	189	45	h(y	h(y	ADJ
ejpam-5785	189	46	,	,	PUNCT
ejpam-5785	189	47	y	y	PROPN
ejpam-5785	189	48	,	,	PUNCT
ejpam-5785	189	49	λ	λ	PROPN
ejpam-5785	189	50	)	)	PUNCT
ejpam-5785	189	51	−	−	PROPN
ejpam-5785	189	52	1	1	NUM
ejpam-5785	189	53	,	,	PUNCT
ejpam-5785	189	54	1	1	NUM
ejpam-5785	189	55	h(u	h(u	PROPN
ejpam-5785	189	56	,	,	PUNCT
ejpam-5785	189	57	y	y	PROPN
ejpam-5785	189	58	,	,	PUNCT
ejpam-5785	189	59	λ	λ	PROPN
ejpam-5785	189	60	)	)	PUNCT
ejpam-5785	189	61	−	−	PROPN
ejpam-5785	189	62	1	1	NUM
ejpam-5785	189	63	,	,	PUNCT
ejpam-5785	189	64	1	1	NUM
ejpam-5785	189	65	h(y	h(y	ADJ
ejpam-5785	189	66	,	,	PUNCT
ejpam-5785	189	67	u	u	NOUN
ejpam-5785	189	68	,	,	PUNCT
ejpam-5785	189	69	λ	λ	NOUN
ejpam-5785	189	70	)	)	PUNCT
ejpam-5785	189	71	−	−	PROPN
ejpam-5785	189	72	1	1	NUM
ejpam-5785	189	73	}	}	PUNCT
ejpam-5785	189	74	=	=	SYM
ejpam-5785	189	75	k	k	X
ejpam-5785	189	76	(	(	PUNCT
ejpam-5785	189	77	1	1	NUM
ejpam-5785	189	78	h(u	h(u	PROPN
ejpam-5785	189	79	,	,	PUNCT
ejpam-5785	189	80	y	y	PROPN
ejpam-5785	189	81	,	,	PUNCT
ejpam-5785	189	82	λ	λ	PROPN
ejpam-5785	189	83	)	)	PUNCT
ejpam-5785	189	84	−	−	PROPN
ejpam-5785	189	85	1	1	NUM
ejpam-5785	189	86	)	)	PUNCT
ejpam-5785	189	87	,	,	PUNCT
ejpam-5785	189	88	1	1	NUM
ejpam-5785	189	89	j	j	PROPN
ejpam-5785	189	90	(	(	PUNCT
ejpam-5785	189	91	u	u	PROPN
ejpam-5785	189	92	,	,	PUNCT
ejpam-5785	189	93	y	y	PROPN
ejpam-5785	189	94	,	,	PUNCT
ejpam-5785	189	95	λ	λ	PROPN
ejpam-5785	189	96	)	)	PUNCT
ejpam-5785	189	97	−	−	NOUN
ejpam-5785	189	98	1	1	NUM
ejpam-5785	189	99	=	=	SYM
ejpam-5785	189	100	1	1	NUM
ejpam-5785	189	101	j	j	PROPN
ejpam-5785	189	102	(	(	PUNCT
ejpam-5785	189	103	fu	fu	PROPN
ejpam-5785	189	104	,	,	PUNCT
ejpam-5785	189	105	fy	fy	PROPN
ejpam-5785	189	106	,	,	PUNCT
ejpam-5785	189	107	λ	λ	PROPN
ejpam-5785	189	108	)	)	PUNCT
ejpam-5785	189	109	−	−	PROPN
ejpam-5785	189	110	1	1	NUM
ejpam-5785	189	111	≤	≤	NUM
ejpam-5785	189	112	k	k	PRON
ejpam-5785	189	113	max	max	PROPN
ejpam-5785	189	114	{	{	PUNCT
ejpam-5785	189	115	1	1	NUM
ejpam-5785	189	116	j	j	PROPN
ejpam-5785	189	117	(	(	PUNCT
ejpam-5785	189	118	u	u	PROPN
ejpam-5785	189	119	,	,	PUNCT
ejpam-5785	189	120	y	y	PROPN
ejpam-5785	189	121	,	,	PUNCT
ejpam-5785	189	122	λ	λ	PROPN
ejpam-5785	189	123	)	)	PUNCT
ejpam-5785	189	124	−	−	PROPN
ejpam-5785	189	125	1	1	NUM
ejpam-5785	189	126	,	,	PUNCT
ejpam-5785	189	127	1	1	NUM
ejpam-5785	189	128	j	j	PROPN
ejpam-5785	189	129	(	(	PUNCT
ejpam-5785	189	130	u	u	NOUN
ejpam-5785	189	131	,	,	PUNCT
ejpam-5785	189	132	u	u	NOUN
ejpam-5785	189	133	,	,	PUNCT
ejpam-5785	189	134	λ	λ	NOUN
ejpam-5785	189	135	)	)	PUNCT
ejpam-5785	189	136	−	−	PROPN
ejpam-5785	189	137	1	1	NUM
ejpam-5785	189	138	,	,	PUNCT
ejpam-5785	189	139	1	1	NUM
ejpam-5785	189	140	j	j	PROPN
ejpam-5785	189	141	(	(	PUNCT
ejpam-5785	189	142	y	y	PROPN
ejpam-5785	189	143	,	,	PUNCT
ejpam-5785	189	144	y	y	PROPN
ejpam-5785	189	145	,	,	PUNCT
ejpam-5785	189	146	λ	λ	PROPN
ejpam-5785	189	147	)	)	PUNCT
ejpam-5785	189	148	−	−	PROPN
ejpam-5785	189	149	1	1	NUM
ejpam-5785	189	150	,	,	PUNCT
ejpam-5785	189	151	1	1	NUM
ejpam-5785	189	152	j	j	PROPN
ejpam-5785	189	153	(	(	PUNCT
ejpam-5785	189	154	u	u	PROPN
ejpam-5785	189	155	,	,	PUNCT
ejpam-5785	189	156	y	y	PROPN
ejpam-5785	189	157	,	,	PUNCT
ejpam-5785	189	158	λ	λ	PROPN
ejpam-5785	189	159	)	)	PUNCT
ejpam-5785	189	160	−	−	PROPN
ejpam-5785	189	161	1	1	NUM
ejpam-5785	189	162	,	,	PUNCT
ejpam-5785	189	163	1	1	NUM
ejpam-5785	189	164	j	j	PROPN
ejpam-5785	189	165	(	(	PUNCT
ejpam-5785	189	166	y	y	PROPN
ejpam-5785	189	167	,	,	PUNCT
ejpam-5785	189	168	u	u	NOUN
ejpam-5785	189	169	,	,	PUNCT
ejpam-5785	189	170	λ	λ	PROPN
ejpam-5785	189	171	)	)	PUNCT
ejpam-5785	189	172	−	−	PROPN
ejpam-5785	189	173	1	1	NUM
ejpam-5785	189	174	}	}	PUNCT
ejpam-5785	189	175	=	=	SYM
ejpam-5785	189	176	k	k	X
ejpam-5785	189	177	(	(	PUNCT
ejpam-5785	189	178	1	1	NUM
ejpam-5785	189	179	j	j	PROPN
ejpam-5785	189	180	(	(	PUNCT
ejpam-5785	189	181	u	u	PROPN
ejpam-5785	189	182	,	,	PUNCT
ejpam-5785	189	183	y	y	PROPN
ejpam-5785	189	184	,	,	PUNCT
ejpam-5785	189	185	λ	λ	PROPN
ejpam-5785	189	186	)	)	PUNCT
ejpam-5785	189	187	−	−	PROPN
ejpam-5785	189	188	1	1	NUM
ejpam-5785	189	189	)	)	PUNCT
ejpam-5785	189	190	,	,	PUNCT
ejpam-5785	189	191	k(u	k(u	X
ejpam-5785	189	192	,	,	PUNCT
ejpam-5785	189	193	y	y	PROPN
ejpam-5785	189	194	,	,	PUNCT
ejpam-5785	189	195	λ	λ	NOUN
ejpam-5785	189	196	)	)	PUNCT
ejpam-5785	189	197	=	=	SYM
ejpam-5785	189	198	k(fu	k(fu	PROPN
ejpam-5785	189	199	,	,	PUNCT
ejpam-5785	189	200	fy	fy	PROPN
ejpam-5785	189	201	,	,	PUNCT
ejpam-5785	189	202	λ	λ	PROPN
ejpam-5785	189	203	)	)	PUNCT
ejpam-5785	189	204	≤	≤	PUNCT
ejpam-5785	190	1	k	k	PROPN
ejpam-5785	190	2	max	max	PROPN
ejpam-5785	190	3	{	{	PUNCT
ejpam-5785	190	4	k(u	k(u	X
ejpam-5785	190	5	,	,	PUNCT
ejpam-5785	190	6	y	y	NOUN
ejpam-5785	190	7	,	,	PUNCT
ejpam-5785	190	8	λ),k(u	λ),k(u	X
ejpam-5785	190	9	,	,	PUNCT
ejpam-5785	190	10	u	u	NOUN
ejpam-5785	190	11	,	,	PUNCT
ejpam-5785	190	12	λ),k(y	λ),k(y	PRON
ejpam-5785	190	13	,	,	PUNCT
ejpam-5785	190	14	y	y	PROPN
ejpam-5785	190	15	,	,	PUNCT
ejpam-5785	190	16	λ	λ	PROPN
ejpam-5785	190	17	)	)	PUNCT
ejpam-5785	190	18	,	,	PUNCT
ejpam-5785	190	19	k(u	k(u	X
ejpam-5785	190	20	,	,	PUNCT
ejpam-5785	190	21	y	y	PROPN
ejpam-5785	190	22	,	,	PUNCT
ejpam-5785	190	23	λ),k(y	λ),k(y	PRON
ejpam-5785	190	24	,	,	PUNCT
ejpam-5785	190	25	u	u	NOUN
ejpam-5785	190	26	,	,	PUNCT
ejpam-5785	190	27	λ	λ	NOUN
ejpam-5785	190	28	)	)	PUNCT
ejpam-5785	190	29	}	}	PUNCT
ejpam-5785	190	30	=	=	PUNCT
ejpam-5785	190	31	k	k	PROPN
ejpam-5785	190	32	k(y	k(y	PROPN
ejpam-5785	190	33	,	,	PUNCT
ejpam-5785	190	34	u	u	NOUN
ejpam-5785	190	35	,	,	PUNCT
ejpam-5785	190	36	λ	λ	PROPN
ejpam-5785	190	37	)	)	PUNCT
ejpam-5785	190	38	,	,	PUNCT
ejpam-5785	190	39	and	and	CCONJ
ejpam-5785	190	40	l(u	l(u	PROPN
ejpam-5785	190	41	,	,	PUNCT
ejpam-5785	190	42	y	y	PROPN
ejpam-5785	190	43	,	,	PUNCT
ejpam-5785	190	44	λ	λ	NOUN
ejpam-5785	190	45	)	)	PUNCT
ejpam-5785	190	46	=	=	SYM
ejpam-5785	190	47	l(fu	l(fu	PROPN
ejpam-5785	190	48	,	,	PUNCT
ejpam-5785	190	49	fy	fy	PROPN
ejpam-5785	190	50	,	,	PUNCT
ejpam-5785	190	51	λ	λ	PROPN
ejpam-5785	190	52	)	)	PUNCT
ejpam-5785	190	53	≤	≤	PUNCT
ejpam-5785	190	54	k	k	PROPN
ejpam-5785	190	55	max	max	PROPN
ejpam-5785	190	56	{	{	PUNCT
ejpam-5785	190	57	l(u	l(u	PROPN
ejpam-5785	190	58	,	,	PUNCT
ejpam-5785	190	59	y	y	PROPN
ejpam-5785	190	60	,	,	PUNCT
ejpam-5785	190	61	λ),l(u	λ),l(u	PROPN
ejpam-5785	190	62	,	,	PUNCT
ejpam-5785	190	63	u	u	NOUN
ejpam-5785	190	64	,	,	PUNCT
ejpam-5785	190	65	λ),l(y	λ),l(y	X
ejpam-5785	190	66	,	,	PUNCT
ejpam-5785	190	67	y	y	PROPN
ejpam-5785	190	68	,	,	PUNCT
ejpam-5785	190	69	λ	λ	PROPN
ejpam-5785	190	70	)	)	PUNCT
ejpam-5785	190	71	,	,	PUNCT
ejpam-5785	190	72	l(u	l(u	PROPN
ejpam-5785	190	73	,	,	PUNCT
ejpam-5785	190	74	y	y	PROPN
ejpam-5785	190	75	,	,	PUNCT
ejpam-5785	190	76	λ),l(y	λ),l(y	X
ejpam-5785	190	77	,	,	PUNCT
ejpam-5785	190	78	u	u	NOUN
ejpam-5785	190	79	,	,	PUNCT
ejpam-5785	190	80	λ	λ	NOUN
ejpam-5785	190	81	)	)	PUNCT
ejpam-5785	190	82	}	}	PUNCT
ejpam-5785	190	83	=	=	SYM
ejpam-5785	190	84	k	k	X
ejpam-5785	190	85	l(y	l(y	PROPN
ejpam-5785	190	86	,	,	PUNCT
ejpam-5785	190	87	u	u	NOUN
ejpam-5785	190	88	,	,	PUNCT
ejpam-5785	190	89	λ	λ	PROPN
ejpam-5785	190	90	)	)	PUNCT
ejpam-5785	190	91	.	.	PUNCT
ejpam-5785	191	1	a.	a.	PROPN
ejpam-5785	191	2	bataihah	bataihah	PROPN
ejpam-5785	191	3	,	,	PUNCT
ejpam-5785	191	4	a.	a.	NOUN
ejpam-5785	191	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	191	6	/	/	SYM
ejpam-5785	191	7	eur	eur	PROPN
ejpam-5785	191	8	.	.	PUNCT
ejpam-5785	192	1	j.	j.	PROPN
ejpam-5785	192	2	pure	pure	PROPN
ejpam-5785	192	3	appl	appl	PROPN
ejpam-5785	192	4	.	.	PROPN
ejpam-5785	192	5	math	math	PROPN
ejpam-5785	192	6	,	,	PUNCT
ejpam-5785	192	7	18	18	NUM
ejpam-5785	192	8	(	(	PUNCT
ejpam-5785	192	9	1	1	NUM
ejpam-5785	192	10	)	)	PUNCT
ejpam-5785	192	11	(	(	PUNCT
ejpam-5785	192	12	2025	2025	NUM
ejpam-5785	192	13	)	)	PUNCT
ejpam-5785	192	14	,	,	PUNCT
ejpam-5785	192	15	5785	5785	NUM
ejpam-5785	192	16	11	11	NUM
ejpam-5785	192	17	of	of	ADP
ejpam-5785	192	18	15	15	NUM
ejpam-5785	192	19	so	so	ADV
ejpam-5785	192	20	,	,	PUNCT
ejpam-5785	192	21	(	(	PUNCT
ejpam-5785	192	22	1−	1−	NUM
ejpam-5785	192	23	k	k	NOUN
ejpam-5785	192	24	)	)	PUNCT
ejpam-5785	192	25	(	(	PUNCT
ejpam-5785	192	26	1	1	NUM
ejpam-5785	192	27	h(u	h(u	PROPN
ejpam-5785	192	28	,	,	PUNCT
ejpam-5785	192	29	y	y	PROPN
ejpam-5785	192	30	,	,	PUNCT
ejpam-5785	192	31	λ	λ	PROPN
ejpam-5785	192	32	)	)	PUNCT
ejpam-5785	192	33	−	−	PROPN
ejpam-5785	192	34	1	1	NUM
ejpam-5785	192	35	)	)	PUNCT
ejpam-5785	192	36	≤	≤	NOUN
ejpam-5785	192	37	0	0	NUM
ejpam-5785	192	38	,	,	PUNCT
ejpam-5785	192	39	(	(	PUNCT
ejpam-5785	192	40	1−	1−	NUM
ejpam-5785	192	41	k	k	NOUN
ejpam-5785	192	42	)	)	PUNCT
ejpam-5785	192	43	(	(	PUNCT
ejpam-5785	192	44	1	1	NUM
ejpam-5785	192	45	j	j	PROPN
ejpam-5785	192	46	(	(	PUNCT
ejpam-5785	192	47	u	u	PROPN
ejpam-5785	192	48	,	,	PUNCT
ejpam-5785	192	49	y	y	PROPN
ejpam-5785	192	50	,	,	PUNCT
ejpam-5785	192	51	λ	λ	PROPN
ejpam-5785	192	52	)	)	PUNCT
ejpam-5785	192	53	−	−	PROPN
ejpam-5785	192	54	1	1	NUM
ejpam-5785	192	55	)	)	PUNCT
ejpam-5785	192	56	≤	≤	NOUN
ejpam-5785	192	57	0	0	NUM
ejpam-5785	192	58	,	,	PUNCT
ejpam-5785	192	59	(	(	PUNCT
ejpam-5785	192	60	1−	1−	NUM
ejpam-5785	192	61	k	k	X
ejpam-5785	192	62	)	)	PUNCT
ejpam-5785	192	63	k(u	k(u	X
ejpam-5785	192	64	,	,	PUNCT
ejpam-5785	192	65	y	y	PROPN
ejpam-5785	192	66	,	,	PUNCT
ejpam-5785	192	67	λ	λ	NOUN
ejpam-5785	192	68	)	)	PUNCT
ejpam-5785	192	69	≤	≤	NOUN
ejpam-5785	192	70	0	0	NUM
ejpam-5785	192	71	,	,	PUNCT
ejpam-5785	192	72	and	and	CCONJ
ejpam-5785	192	73	(	(	PUNCT
ejpam-5785	192	74	1−	1−	NUM
ejpam-5785	192	75	k	k	NOUN
ejpam-5785	192	76	)	)	PUNCT
ejpam-5785	192	77	l(u	l(u	PROPN
ejpam-5785	192	78	,	,	PUNCT
ejpam-5785	192	79	y	y	PROPN
ejpam-5785	192	80	,	,	PUNCT
ejpam-5785	192	81	λ	λ	NOUN
ejpam-5785	192	82	)	)	PUNCT
ejpam-5785	192	83	≤	≤	NOUN
ejpam-5785	192	84	0	0	NUM
ejpam-5785	192	85	.	.	PUNCT
ejpam-5785	193	1	which	which	PRON
ejpam-5785	193	2	implies	imply	VERB
ejpam-5785	193	3	u	u	PROPN
ejpam-5785	193	4	=	=	PROPN
ejpam-5785	193	5	y.	y.	PROPN
ejpam-5785	193	6	corollary	corollary	NOUN
ejpam-5785	193	7	1	1	NUM
ejpam-5785	193	8	.	.	PUNCT
ejpam-5785	194	1	let	let	AUX
ejpam-5785	194	2	(	(	PUNCT
ejpam-5785	194	3	x	x	X
ejpam-5785	194	4	,	,	PUNCT
ejpam-5785	194	5	h	h	NOUN
ejpam-5785	194	6	,	,	PUNCT
ejpam-5785	194	7	j	j	PROPN
ejpam-5785	194	8	,	,	PUNCT
ejpam-5785	194	9	k	k	PROPN
ejpam-5785	194	10	,	,	PUNCT
ejpam-5785	194	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	194	12	)	)	PUNCT
ejpam-5785	194	13	be	be	AUX
ejpam-5785	194	14	a	a	DET
ejpam-5785	194	15	complete	complete	ADJ
ejpam-5785	194	16	nfms	nfms	NOUN
ejpam-5785	194	17	,	,	PUNCT
ejpam-5785	194	18	suppose	suppose	VERB
ejpam-5785	194	19	that	that	SCONJ
ejpam-5785	194	20	there	there	PRON
ejpam-5785	194	21	is	be	VERB
ejpam-5785	194	22	k	k	PROPN
ejpam-5785	194	23	∈	∈	PROPN
ejpam-5785	195	1	[	[	X
ejpam-5785	195	2	0	0	NUM
ejpam-5785	195	3	,	,	PUNCT
ejpam-5785	195	4	1	1	NUM
ejpam-5785	195	5	)	)	PUNCT
ejpam-5785	195	6	such	such	ADJ
ejpam-5785	195	7	that	that	SCONJ
ejpam-5785	195	8	f	f	X
ejpam-5785	195	9	:	:	PUNCT
ejpam-5785	195	10	x	x	X
ejpam-5785	195	11	→	→	PUNCT
ejpam-5785	195	12	x	x	SYM
ejpam-5785	195	13	satisfies	satisfy	VERB
ejpam-5785	195	14	the	the	DET
ejpam-5785	195	15	following	follow	VERB
ejpam-5785	195	16	for	for	ADP
ejpam-5785	195	17	each	each	DET
ejpam-5785	195	18	ξ	ξ	PROPN
ejpam-5785	195	19	,	,	PUNCT
ejpam-5785	195	20	ω	ω	PROPN
ejpam-5785	195	21	∈	∈	PROPN
ejpam-5785	195	22	x	x	X
ejpam-5785	195	23	and	and	CCONJ
ejpam-5785	195	24	each	each	DET
ejpam-5785	195	25	λ	λ	X
ejpam-5785	195	26	>	>	X
ejpam-5785	195	27	0	0	NUM
ejpam-5785	195	28	,	,	PUNCT
ejpam-5785	195	29	we	we	PRON
ejpam-5785	195	30	have	have	VERB
ejpam-5785	195	31	:	:	PUNCT
ejpam-5785	195	32	1	1	NUM
ejpam-5785	195	33	h(fξ	h(fξ	PROPN
ejpam-5785	195	34	,	,	PUNCT
ejpam-5785	195	35	fω	fω	PROPN
ejpam-5785	195	36	,	,	PUNCT
ejpam-5785	195	37	λ	λ	NOUN
ejpam-5785	195	38	)	)	PUNCT
ejpam-5785	195	39	−	−	PROPN
ejpam-5785	195	40	1	1	NUM
ejpam-5785	195	41	≤	≤	NUM
ejpam-5785	195	42	k	k	X
ejpam-5785	195	43	(	(	PUNCT
ejpam-5785	195	44	1	1	NUM
ejpam-5785	195	45	h(ξ	h(ξ	PROPN
ejpam-5785	195	46	,	,	PUNCT
ejpam-5785	195	47	ω	ω	PROPN
ejpam-5785	195	48	,	,	PUNCT
ejpam-5785	195	49	λ	λ	PROPN
ejpam-5785	195	50	)	)	PUNCT
ejpam-5785	195	51	−	−	PROPN
ejpam-5785	195	52	1	1	NUM
ejpam-5785	195	53	)	)	PUNCT
ejpam-5785	195	54	,	,	PUNCT
ejpam-5785	195	55	1	1	NUM
ejpam-5785	195	56	j	j	PROPN
ejpam-5785	195	57	(	(	PUNCT
ejpam-5785	195	58	fξ	fξ	PROPN
ejpam-5785	195	59	,	,	PUNCT
ejpam-5785	195	60	fω	fω	PROPN
ejpam-5785	195	61	,	,	PUNCT
ejpam-5785	195	62	λ	λ	NOUN
ejpam-5785	195	63	)	)	PUNCT
ejpam-5785	195	64	−	−	PROPN
ejpam-5785	195	65	1	1	NUM
ejpam-5785	195	66	≤	≤	NUM
ejpam-5785	195	67	k	k	NOUN
ejpam-5785	195	68	(	(	PUNCT
ejpam-5785	195	69	1	1	NUM
ejpam-5785	195	70	j	j	PROPN
ejpam-5785	195	71	(	(	PUNCT
ejpam-5785	195	72	ξ	ξ	PROPN
ejpam-5785	195	73	,	,	PUNCT
ejpam-5785	195	74	ω	ω	PROPN
ejpam-5785	195	75	,	,	PUNCT
ejpam-5785	195	76	λ	λ	NOUN
ejpam-5785	195	77	)	)	PUNCT
ejpam-5785	195	78	−	−	PROPN
ejpam-5785	195	79	1	1	NUM
ejpam-5785	195	80	)	)	PUNCT
ejpam-5785	195	81	,	,	PUNCT
ejpam-5785	195	82	k(fξ	k(fξ	PROPN
ejpam-5785	195	83	,	,	PUNCT
ejpam-5785	195	84	fω	fω	PROPN
ejpam-5785	195	85	,	,	PUNCT
ejpam-5785	195	86	λ	λ	NOUN
ejpam-5785	195	87	)	)	PUNCT
ejpam-5785	195	88	≤	≤	NOUN
ejpam-5785	196	1	k	k	PROPN
ejpam-5785	196	2	k(ξ	k(ξ	PROPN
ejpam-5785	196	3	,	,	PUNCT
ejpam-5785	196	4	ω	ω	PROPN
ejpam-5785	196	5	,	,	PUNCT
ejpam-5785	196	6	λ	λ	NOUN
ejpam-5785	196	7	)	)	PUNCT
ejpam-5785	196	8	,	,	PUNCT
ejpam-5785	196	9	and	and	CCONJ
ejpam-5785	196	10	l(fξ	l(fξ	PROPN
ejpam-5785	196	11	,	,	PUNCT
ejpam-5785	196	12	fω	fω	PROPN
ejpam-5785	196	13	,	,	PUNCT
ejpam-5785	196	14	λ	λ	NOUN
ejpam-5785	196	15	)	)	PUNCT
ejpam-5785	196	16	≤	≤	NOUN
ejpam-5785	197	1	k	k	X
ejpam-5785	197	2	l(ξ	l(ξ	PROPN
ejpam-5785	197	3	,	,	PUNCT
ejpam-5785	197	4	ω	ω	PROPN
ejpam-5785	197	5	,	,	PUNCT
ejpam-5785	197	6	λ	λ	PROPN
ejpam-5785	197	7	)	)	PUNCT
ejpam-5785	197	8	.	.	PUNCT
ejpam-5785	198	1	furthermore	furthermore	ADV
ejpam-5785	198	2	,	,	PUNCT
ejpam-5785	198	3	consider	consider	VERB
ejpam-5785	198	4	that	that	SCONJ
ejpam-5785	198	5	one	one	NUM
ejpam-5785	198	6	of	of	ADP
ejpam-5785	198	7	the	the	DET
ejpam-5785	198	8	following	following	ADJ
ejpam-5785	198	9	statements	statement	NOUN
ejpam-5785	198	10	holds	hold	VERB
ejpam-5785	198	11	true	true	ADJ
ejpam-5785	198	12	.	.	PUNCT
ejpam-5785	199	1	(	(	PUNCT
ejpam-5785	199	2	i	i	NOUN
ejpam-5785	199	3	)	)	PUNCT
ejpam-5785	199	4	f	f	PROPN
ejpam-5785	199	5	is	be	AUX
ejpam-5785	199	6	continuous	continuous	ADJ
ejpam-5785	199	7	,	,	PUNCT
ejpam-5785	199	8	(	(	PUNCT
ejpam-5785	199	9	ii	ii	NOUN
ejpam-5785	199	10	)	)	PUNCT
ejpam-5785	199	11	the	the	DET
ejpam-5785	199	12	fuzzy	fuzzy	ADJ
ejpam-5785	199	13	sets	set	VERB
ejpam-5785	199	14	h	h	NOUN
ejpam-5785	199	15	,	,	PUNCT
ejpam-5785	199	16	j	j	PROPN
ejpam-5785	199	17	,	,	PUNCT
ejpam-5785	199	18	k	k	PROPN
ejpam-5785	199	19	,	,	PUNCT
ejpam-5785	199	20	and	and	CCONJ
ejpam-5785	199	21	l	l	NOUN
ejpam-5785	199	22	exhibit	exhibit	NOUN
ejpam-5785	199	23	continuity	continuity	NOUN
ejpam-5785	199	24	with	with	ADP
ejpam-5785	199	25	respect	respect	NOUN
ejpam-5785	199	26	to	to	ADP
ejpam-5785	199	27	their	their	PRON
ejpam-5785	199	28	first	first	ADJ
ejpam-5785	199	29	two	two	NUM
ejpam-5785	199	30	coordinates	coordinate	NOUN
ejpam-5785	199	31	.	.	PUNCT
ejpam-5785	200	1	consequently	consequently	ADV
ejpam-5785	200	2	,	,	PUNCT
ejpam-5785	200	3	the	the	DET
ejpam-5785	200	4	function	function	NOUN
ejpam-5785	200	5	f	f	PROPN
ejpam-5785	200	6	has	have	VERB
ejpam-5785	200	7	a	a	DET
ejpam-5785	200	8	unique	unique	ADJ
ejpam-5785	200	9	fixed	fix	VERB
ejpam-5785	200	10	point	point	NOUN
ejpam-5785	200	11	.	.	PUNCT
ejpam-5785	201	1	corollary	corollary	ADJ
ejpam-5785	201	2	2	2	NUM
ejpam-5785	201	3	.	.	PUNCT
ejpam-5785	202	1	let	let	AUX
ejpam-5785	202	2	(	(	PUNCT
ejpam-5785	202	3	x	x	X
ejpam-5785	202	4	,	,	PUNCT
ejpam-5785	202	5	h	h	NOUN
ejpam-5785	202	6	,	,	PUNCT
ejpam-5785	202	7	j	j	PROPN
ejpam-5785	202	8	,	,	PUNCT
ejpam-5785	202	9	k	k	PROPN
ejpam-5785	202	10	,	,	PUNCT
ejpam-5785	202	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	202	12	)	)	PUNCT
ejpam-5785	202	13	be	be	AUX
ejpam-5785	202	14	a	a	DET
ejpam-5785	202	15	complete	complete	ADJ
ejpam-5785	202	16	nfms	nfms	NOUN
ejpam-5785	202	17	,	,	PUNCT
ejpam-5785	202	18	suppose	suppose	VERB
ejpam-5785	202	19	that	that	SCONJ
ejpam-5785	202	20	there	there	PRON
ejpam-5785	202	21	is	be	VERB
ejpam-5785	202	22	k	k	PROPN
ejpam-5785	202	23	∈	∈	PROPN
ejpam-5785	203	1	[	[	X
ejpam-5785	203	2	0	0	NUM
ejpam-5785	203	3	,	,	PUNCT
ejpam-5785	203	4	1	1	NUM
ejpam-5785	203	5	)	)	PUNCT
ejpam-5785	203	6	such	such	ADJ
ejpam-5785	203	7	that	that	SCONJ
ejpam-5785	203	8	f	f	X
ejpam-5785	203	9	:	:	PUNCT
ejpam-5785	203	10	x	x	X
ejpam-5785	203	11	→	→	PUNCT
ejpam-5785	203	12	x	x	SYM
ejpam-5785	203	13	satisfies	satisfy	VERB
ejpam-5785	203	14	the	the	DET
ejpam-5785	203	15	following	follow	VERB
ejpam-5785	203	16	for	for	ADP
ejpam-5785	203	17	each	each	DET
ejpam-5785	203	18	ξ	ξ	PROPN
ejpam-5785	203	19	,	,	PUNCT
ejpam-5785	203	20	ω	ω	PROPN
ejpam-5785	203	21	∈	∈	PROPN
ejpam-5785	203	22	x	x	X
ejpam-5785	203	23	and	and	CCONJ
ejpam-5785	203	24	each	each	DET
ejpam-5785	203	25	λ	λ	X
ejpam-5785	203	26	>	>	X
ejpam-5785	203	27	0	0	NUM
ejpam-5785	203	28	,	,	PUNCT
ejpam-5785	203	29	we	we	PRON
ejpam-5785	203	30	have	have	VERB
ejpam-5785	203	31	:	:	PUNCT
ejpam-5785	203	32	1	1	NUM
ejpam-5785	203	33	h(fξ	h(fξ	PROPN
ejpam-5785	203	34	,	,	PUNCT
ejpam-5785	203	35	fω	fω	PROPN
ejpam-5785	203	36	,	,	PUNCT
ejpam-5785	203	37	λ	λ	NOUN
ejpam-5785	203	38	)	)	PUNCT
ejpam-5785	203	39	−	−	PROPN
ejpam-5785	203	40	1	1	NUM
ejpam-5785	203	41	≤	≤	NUM
ejpam-5785	203	42	k	k	X
ejpam-5785	203	43	2	2	NUM
ejpam-5785	203	44	(	(	PUNCT
ejpam-5785	203	45	1	1	NUM
ejpam-5785	203	46	h(ξ	h(ξ	PROPN
ejpam-5785	203	47	,	,	PUNCT
ejpam-5785	203	48	fξ	fξ	NOUN
ejpam-5785	203	49	,	,	PUNCT
ejpam-5785	203	50	λ	λ	PROPN
ejpam-5785	203	51	)	)	PUNCT
ejpam-5785	203	52	−	−	NOUN
ejpam-5785	203	53	1	1	NUM
ejpam-5785	203	54	+	+	SYM
ejpam-5785	203	55	1	1	NUM
ejpam-5785	203	56	h(ω	h(ω	PROPN
ejpam-5785	203	57	,	,	PUNCT
ejpam-5785	203	58	fω	fω	PROPN
ejpam-5785	203	59	,	,	PUNCT
ejpam-5785	203	60	λ	λ	NOUN
ejpam-5785	203	61	)	)	PUNCT
ejpam-5785	203	62	−	−	PROPN
ejpam-5785	203	63	1	1	NUM
ejpam-5785	203	64	)	)	PUNCT
ejpam-5785	203	65	,	,	PUNCT
ejpam-5785	203	66	1	1	NUM
ejpam-5785	203	67	j	j	PROPN
ejpam-5785	203	68	(	(	PUNCT
ejpam-5785	203	69	fξ	fξ	PROPN
ejpam-5785	203	70	,	,	PUNCT
ejpam-5785	203	71	fω	fω	PROPN
ejpam-5785	203	72	,	,	PUNCT
ejpam-5785	203	73	λ	λ	NOUN
ejpam-5785	203	74	)	)	PUNCT
ejpam-5785	203	75	−	−	PROPN
ejpam-5785	203	76	1	1	NUM
ejpam-5785	203	77	≤	≤	NUM
ejpam-5785	204	1	k	k	X
ejpam-5785	204	2	2	2	NUM
ejpam-5785	204	3	(	(	PUNCT
ejpam-5785	204	4	1	1	NUM
ejpam-5785	204	5	j	j	PROPN
ejpam-5785	204	6	(	(	PUNCT
ejpam-5785	204	7	ξ	ξ	PROPN
ejpam-5785	204	8	,	,	PUNCT
ejpam-5785	204	9	fξ	fξ	PROPN
ejpam-5785	204	10	,	,	PUNCT
ejpam-5785	204	11	λ	λ	PROPN
ejpam-5785	204	12	)	)	PUNCT
ejpam-5785	204	13	−	−	NOUN
ejpam-5785	204	14	1	1	NUM
ejpam-5785	205	1	+	+	SYM
ejpam-5785	205	2	1	1	NUM
ejpam-5785	205	3	j	j	PROPN
ejpam-5785	205	4	(	(	PUNCT
ejpam-5785	205	5	ω	ω	PROPN
ejpam-5785	205	6	,	,	PUNCT
ejpam-5785	205	7	fω	fω	PROPN
ejpam-5785	205	8	,	,	PUNCT
ejpam-5785	205	9	λ	λ	NOUN
ejpam-5785	205	10	)	)	PUNCT
ejpam-5785	205	11	−	−	PROPN
ejpam-5785	205	12	1	1	NUM
ejpam-5785	205	13	)	)	PUNCT
ejpam-5785	205	14	,	,	PUNCT
ejpam-5785	205	15	k(fξ	k(fξ	PROPN
ejpam-5785	205	16	,	,	PUNCT
ejpam-5785	205	17	fω	fω	PROPN
ejpam-5785	205	18	,	,	PUNCT
ejpam-5785	205	19	λ	λ	NOUN
ejpam-5785	205	20	)	)	PUNCT
ejpam-5785	205	21	≤	≤	PUNCT
ejpam-5785	206	1	k	k	X
ejpam-5785	206	2	2	2	NUM
ejpam-5785	206	3	(	(	PUNCT
ejpam-5785	206	4	k(ξ	k(ξ	X
ejpam-5785	206	5	,	,	PUNCT
ejpam-5785	206	6	fξ	fξ	PROPN
ejpam-5785	206	7	,	,	PUNCT
ejpam-5785	206	8	λ	λ	PROPN
ejpam-5785	206	9	)	)	PUNCT
ejpam-5785	206	10	+	+	PROPN
ejpam-5785	206	11	k(ω	k(ω	PROPN
ejpam-5785	206	12	,	,	PUNCT
ejpam-5785	206	13	fω	fω	PROPN
ejpam-5785	206	14	,	,	PUNCT
ejpam-5785	206	15	λ	λ	NOUN
ejpam-5785	206	16	)	)	PUNCT
ejpam-5785	206	17	)	)	PUNCT
ejpam-5785	206	18	,	,	PUNCT
ejpam-5785	206	19	a.	a.	PROPN
ejpam-5785	206	20	bataihah	bataihah	PROPN
ejpam-5785	206	21	,	,	PUNCT
ejpam-5785	206	22	a.	a.	NOUN
ejpam-5785	206	23	hazaymeh	hazaymeh	NOUN
ejpam-5785	206	24	/	/	SYM
ejpam-5785	206	25	eur	eur	PROPN
ejpam-5785	206	26	.	.	PUNCT
ejpam-5785	207	1	j.	j.	PROPN
ejpam-5785	207	2	pure	pure	PROPN
ejpam-5785	207	3	appl	appl	PROPN
ejpam-5785	207	4	.	.	PROPN
ejpam-5785	207	5	math	math	PROPN
ejpam-5785	207	6	,	,	PUNCT
ejpam-5785	207	7	18	18	NUM
ejpam-5785	207	8	(	(	PUNCT
ejpam-5785	207	9	1	1	NUM
ejpam-5785	207	10	)	)	PUNCT
ejpam-5785	207	11	(	(	PUNCT
ejpam-5785	207	12	2025	2025	NUM
ejpam-5785	207	13	)	)	PUNCT
ejpam-5785	207	14	,	,	PUNCT
ejpam-5785	207	15	5785	5785	NUM
ejpam-5785	207	16	12	12	NUM
ejpam-5785	207	17	of	of	ADP
ejpam-5785	207	18	15	15	NUM
ejpam-5785	207	19	and	and	CCONJ
ejpam-5785	207	20	l(fξ	l(fξ	PROPN
ejpam-5785	207	21	,	,	PUNCT
ejpam-5785	207	22	fω	fω	PROPN
ejpam-5785	207	23	,	,	PUNCT
ejpam-5785	207	24	λ	λ	NOUN
ejpam-5785	207	25	)	)	PUNCT
ejpam-5785	207	26	≤	≤	PUNCT
ejpam-5785	208	1	k	k	NOUN
ejpam-5785	208	2	2	2	NUM
ejpam-5785	208	3	l(ξ	l(ξ	PROPN
ejpam-5785	208	4	,	,	PUNCT
ejpam-5785	208	5	fξ	fξ	NOUN
ejpam-5785	208	6	,	,	PUNCT
ejpam-5785	208	7	λ	λ	NOUN
ejpam-5785	208	8	)	)	PUNCT
ejpam-5785	208	9	+	+	X
ejpam-5785	208	10	l(ω	l(ω	PROPN
ejpam-5785	208	11	,	,	PUNCT
ejpam-5785	208	12	fω	fω	PROPN
ejpam-5785	208	13	,	,	PUNCT
ejpam-5785	208	14	λ	λ	NOUN
ejpam-5785	208	15	)	)	PUNCT
ejpam-5785	208	16	)	)	PUNCT
ejpam-5785	208	17	.	.	PUNCT
ejpam-5785	209	1	furthermore	furthermore	ADV
ejpam-5785	209	2	,	,	PUNCT
ejpam-5785	209	3	consider	consider	VERB
ejpam-5785	209	4	that	that	SCONJ
ejpam-5785	209	5	one	one	NUM
ejpam-5785	209	6	of	of	ADP
ejpam-5785	209	7	the	the	DET
ejpam-5785	209	8	following	following	ADJ
ejpam-5785	209	9	statements	statement	NOUN
ejpam-5785	209	10	holds	hold	VERB
ejpam-5785	209	11	true	true	ADJ
ejpam-5785	209	12	.	.	PUNCT
ejpam-5785	210	1	(	(	PUNCT
ejpam-5785	210	2	i	i	NOUN
ejpam-5785	210	3	)	)	PUNCT
ejpam-5785	210	4	f	f	PROPN
ejpam-5785	210	5	is	be	AUX
ejpam-5785	210	6	continuous	continuous	ADJ
ejpam-5785	210	7	,	,	PUNCT
ejpam-5785	210	8	(	(	PUNCT
ejpam-5785	210	9	ii	ii	NOUN
ejpam-5785	210	10	)	)	PUNCT
ejpam-5785	210	11	the	the	DET
ejpam-5785	210	12	fuzzy	fuzzy	ADJ
ejpam-5785	210	13	sets	set	VERB
ejpam-5785	210	14	h	h	NOUN
ejpam-5785	210	15	,	,	PUNCT
ejpam-5785	210	16	j	j	PROPN
ejpam-5785	210	17	,	,	PUNCT
ejpam-5785	210	18	k	k	PROPN
ejpam-5785	210	19	,	,	PUNCT
ejpam-5785	210	20	and	and	CCONJ
ejpam-5785	210	21	l	l	NOUN
ejpam-5785	210	22	exhibit	exhibit	NOUN
ejpam-5785	210	23	continuity	continuity	NOUN
ejpam-5785	210	24	with	with	ADP
ejpam-5785	210	25	respect	respect	NOUN
ejpam-5785	210	26	to	to	ADP
ejpam-5785	210	27	their	their	PRON
ejpam-5785	210	28	first	first	ADJ
ejpam-5785	210	29	two	two	NUM
ejpam-5785	210	30	coordinates	coordinate	NOUN
ejpam-5785	210	31	.	.	PUNCT
ejpam-5785	211	1	consequently	consequently	ADV
ejpam-5785	211	2	,	,	PUNCT
ejpam-5785	211	3	the	the	DET
ejpam-5785	211	4	function	function	NOUN
ejpam-5785	211	5	f	f	PROPN
ejpam-5785	211	6	has	have	VERB
ejpam-5785	211	7	a	a	DET
ejpam-5785	211	8	unique	unique	ADJ
ejpam-5785	211	9	fixed	fix	VERB
ejpam-5785	211	10	point	point	NOUN
ejpam-5785	211	11	.	.	PUNCT
ejpam-5785	212	1	corollary	corollary	ADJ
ejpam-5785	212	2	3	3	NUM
ejpam-5785	212	3	.	.	PUNCT
ejpam-5785	213	1	let	let	AUX
ejpam-5785	213	2	(	(	PUNCT
ejpam-5785	213	3	x	x	X
ejpam-5785	213	4	,	,	PUNCT
ejpam-5785	213	5	h	h	NOUN
ejpam-5785	213	6	,	,	PUNCT
ejpam-5785	213	7	j	j	PROPN
ejpam-5785	213	8	,	,	PUNCT
ejpam-5785	213	9	k	k	PROPN
ejpam-5785	213	10	,	,	PUNCT
ejpam-5785	213	11	l,⊙,⊕	l,⊙,⊕	PROPN
ejpam-5785	213	12	)	)	PUNCT
ejpam-5785	213	13	be	be	AUX
ejpam-5785	213	14	a	a	DET
ejpam-5785	213	15	complete	complete	ADJ
ejpam-5785	213	16	nfms	nfms	NOUN
ejpam-5785	213	17	,	,	PUNCT
ejpam-5785	213	18	suppose	suppose	VERB
ejpam-5785	213	19	that	that	SCONJ
ejpam-5785	213	20	there	there	PRON
ejpam-5785	213	21	is	be	VERB
ejpam-5785	213	22	k	k	PROPN
ejpam-5785	213	23	∈	∈	PROPN
ejpam-5785	214	1	[	[	X
ejpam-5785	214	2	0	0	NUM
ejpam-5785	214	3	,	,	PUNCT
ejpam-5785	214	4	1	1	NUM
ejpam-5785	214	5	)	)	PUNCT
ejpam-5785	214	6	such	such	ADJ
ejpam-5785	214	7	that	that	SCONJ
ejpam-5785	214	8	f	f	X
ejpam-5785	214	9	:	:	PUNCT
ejpam-5785	214	10	x	x	X
ejpam-5785	214	11	→	→	PUNCT
ejpam-5785	214	12	x	x	SYM
ejpam-5785	214	13	satisfies	satisfy	VERB
ejpam-5785	214	14	the	the	DET
ejpam-5785	214	15	following	follow	VERB
ejpam-5785	214	16	for	for	ADP
ejpam-5785	214	17	each	each	DET
ejpam-5785	214	18	ξ	ξ	PROPN
ejpam-5785	214	19	,	,	PUNCT
ejpam-5785	214	20	ω	ω	PROPN
ejpam-5785	214	21	∈	∈	PROPN
ejpam-5785	214	22	x	x	X
ejpam-5785	214	23	and	and	CCONJ
ejpam-5785	214	24	each	each	DET
ejpam-5785	214	25	λ	λ	X
ejpam-5785	214	26	>	>	X
ejpam-5785	214	27	0	0	NUM
ejpam-5785	214	28	,	,	PUNCT
ejpam-5785	214	29	we	we	PRON
ejpam-5785	214	30	have	have	VERB
ejpam-5785	214	31	:	:	PUNCT
ejpam-5785	214	32	1	1	NUM
ejpam-5785	214	33	h(fξ	h(fξ	PROPN
ejpam-5785	214	34	,	,	PUNCT
ejpam-5785	214	35	fω	fω	PROPN
ejpam-5785	214	36	,	,	PUNCT
ejpam-5785	214	37	λ	λ	NOUN
ejpam-5785	214	38	)	)	PUNCT
ejpam-5785	214	39	−	−	PROPN
ejpam-5785	214	40	1	1	NUM
ejpam-5785	214	41	≤	≤	NUM
ejpam-5785	214	42	k	k	X
ejpam-5785	214	43	2	2	NUM
ejpam-5785	214	44	(	(	PUNCT
ejpam-5785	214	45	1	1	NUM
ejpam-5785	214	46	h(ξ	h(ξ	PROPN
ejpam-5785	214	47	,	,	PUNCT
ejpam-5785	214	48	fω	fω	X
ejpam-5785	214	49	,	,	PUNCT
ejpam-5785	214	50	λ	λ	NOUN
ejpam-5785	214	51	)	)	PUNCT
ejpam-5785	214	52	−	−	NOUN
ejpam-5785	214	53	1	1	NUM
ejpam-5785	214	54	+	+	SYM
ejpam-5785	214	55	1	1	NUM
ejpam-5785	214	56	h(ξ	h(ξ	PROPN
ejpam-5785	214	57	,	,	PUNCT
ejpam-5785	214	58	fω	fω	X
ejpam-5785	214	59	,	,	PUNCT
ejpam-5785	214	60	λ	λ	NOUN
ejpam-5785	214	61	)	)	PUNCT
ejpam-5785	214	62	−	−	PROPN
ejpam-5785	214	63	1	1	NUM
ejpam-5785	214	64	)	)	PUNCT
ejpam-5785	214	65	,	,	PUNCT
ejpam-5785	214	66	1	1	NUM
ejpam-5785	214	67	j	j	PROPN
ejpam-5785	214	68	(	(	PUNCT
ejpam-5785	214	69	fξ	fξ	PROPN
ejpam-5785	214	70	,	,	PUNCT
ejpam-5785	214	71	fω	fω	PROPN
ejpam-5785	214	72	,	,	PUNCT
ejpam-5785	214	73	λ	λ	NOUN
ejpam-5785	214	74	)	)	PUNCT
ejpam-5785	214	75	−	−	PROPN
ejpam-5785	214	76	1	1	NUM
ejpam-5785	214	77	≤	≤	NUM
ejpam-5785	215	1	k	k	X
ejpam-5785	215	2	2	2	NUM
ejpam-5785	215	3	(	(	PUNCT
ejpam-5785	215	4	1	1	NUM
ejpam-5785	215	5	j	j	PROPN
ejpam-5785	215	6	(	(	PUNCT
ejpam-5785	215	7	ξ	ξ	PROPN
ejpam-5785	215	8	,	,	PUNCT
ejpam-5785	215	9	fω	fω	PROPN
ejpam-5785	215	10	,	,	PUNCT
ejpam-5785	215	11	λ	λ	NOUN
ejpam-5785	215	12	)	)	PUNCT
ejpam-5785	215	13	−	−	NOUN
ejpam-5785	215	14	1	1	NUM
ejpam-5785	216	1	+	+	SYM
ejpam-5785	216	2	1	1	NUM
ejpam-5785	216	3	j	j	PROPN
ejpam-5785	216	4	(	(	PUNCT
ejpam-5785	216	5	ξ	ξ	PROPN
ejpam-5785	216	6	,	,	PUNCT
ejpam-5785	216	7	fω	fω	PROPN
ejpam-5785	216	8	,	,	PUNCT
ejpam-5785	216	9	λ	λ	NOUN
ejpam-5785	216	10	)	)	PUNCT
ejpam-5785	216	11	−	−	PROPN
ejpam-5785	216	12	1	1	NUM
ejpam-5785	216	13	)	)	PUNCT
ejpam-5785	216	14	,	,	PUNCT
ejpam-5785	216	15	k(fξ	k(fξ	PROPN
ejpam-5785	216	16	,	,	PUNCT
ejpam-5785	216	17	fω	fω	PROPN
ejpam-5785	216	18	,	,	PUNCT
ejpam-5785	216	19	λ	λ	NOUN
ejpam-5785	216	20	)	)	PUNCT
ejpam-5785	216	21	≤	≤	PUNCT
ejpam-5785	217	1	k	k	X
ejpam-5785	217	2	2	2	NUM
ejpam-5785	217	3	(	(	PUNCT
ejpam-5785	217	4	k(ξ	k(ξ	X
ejpam-5785	217	5	,	,	PUNCT
ejpam-5785	217	6	fω	fω	PROPN
ejpam-5785	217	7	,	,	PUNCT
ejpam-5785	217	8	λ	λ	NOUN
ejpam-5785	217	9	)	)	PUNCT
ejpam-5785	217	10	+	+	NOUN
ejpam-5785	217	11	k(ω	k(ω	PROPN
ejpam-5785	217	12	,	,	PUNCT
ejpam-5785	217	13	fξ	fξ	NOUN
ejpam-5785	217	14	,	,	PUNCT
ejpam-5785	217	15	λ	λ	NOUN
ejpam-5785	217	16	)	)	PUNCT
ejpam-5785	217	17	)	)	PUNCT
ejpam-5785	217	18	,	,	PUNCT
ejpam-5785	217	19	and	and	CCONJ
ejpam-5785	217	20	l(fξ	l(fξ	PROPN
ejpam-5785	217	21	,	,	PUNCT
ejpam-5785	217	22	fω	fω	PROPN
ejpam-5785	217	23	,	,	PUNCT
ejpam-5785	217	24	λ	λ	NOUN
ejpam-5785	217	25	)	)	PUNCT
ejpam-5785	217	26	≤	≤	PUNCT
ejpam-5785	218	1	k	k	X
ejpam-5785	218	2	2	2	NUM
ejpam-5785	218	3	(	(	PUNCT
ejpam-5785	218	4	l(ξ	l(ξ	PROPN
ejpam-5785	218	5	,	,	PUNCT
ejpam-5785	218	6	fω	fω	X
ejpam-5785	218	7	,	,	PUNCT
ejpam-5785	218	8	λ	λ	NOUN
ejpam-5785	218	9	)	)	PUNCT
ejpam-5785	218	10	+	+	X
ejpam-5785	218	11	l(ω	l(ω	PROPN
ejpam-5785	218	12	,	,	PUNCT
ejpam-5785	218	13	fξ	fξ	NOUN
ejpam-5785	218	14	,	,	PUNCT
ejpam-5785	218	15	λ	λ	NOUN
ejpam-5785	218	16	)	)	PUNCT
ejpam-5785	218	17	)	)	PUNCT
ejpam-5785	218	18	.	.	PUNCT
ejpam-5785	219	1	furthermore	furthermore	ADV
ejpam-5785	219	2	,	,	PUNCT
ejpam-5785	219	3	consider	consider	VERB
ejpam-5785	219	4	that	that	SCONJ
ejpam-5785	219	5	one	one	NUM
ejpam-5785	219	6	of	of	ADP
ejpam-5785	219	7	the	the	DET
ejpam-5785	219	8	following	following	ADJ
ejpam-5785	219	9	statements	statement	NOUN
ejpam-5785	219	10	holds	hold	VERB
ejpam-5785	219	11	true	true	ADJ
ejpam-5785	219	12	.	.	PUNCT
ejpam-5785	220	1	(	(	PUNCT
ejpam-5785	220	2	i	i	NOUN
ejpam-5785	220	3	)	)	PUNCT
ejpam-5785	220	4	f	f	PROPN
ejpam-5785	220	5	is	be	AUX
ejpam-5785	220	6	continuous	continuous	ADJ
ejpam-5785	220	7	,	,	PUNCT
ejpam-5785	220	8	(	(	PUNCT
ejpam-5785	220	9	ii	ii	NOUN
ejpam-5785	220	10	)	)	PUNCT
ejpam-5785	220	11	the	the	DET
ejpam-5785	220	12	fuzzy	fuzzy	ADJ
ejpam-5785	220	13	sets	set	VERB
ejpam-5785	220	14	h	h	NOUN
ejpam-5785	220	15	,	,	PUNCT
ejpam-5785	220	16	j	j	PROPN
ejpam-5785	220	17	,	,	PUNCT
ejpam-5785	220	18	k	k	PROPN
ejpam-5785	220	19	,	,	PUNCT
ejpam-5785	220	20	and	and	CCONJ
ejpam-5785	220	21	l	l	NOUN
ejpam-5785	220	22	exhibit	exhibit	NOUN
ejpam-5785	220	23	continuity	continuity	NOUN
ejpam-5785	220	24	with	with	ADP
ejpam-5785	220	25	respect	respect	NOUN
ejpam-5785	220	26	to	to	ADP
ejpam-5785	220	27	their	their	PRON
ejpam-5785	220	28	first	first	ADJ
ejpam-5785	220	29	two	two	NUM
ejpam-5785	220	30	coordinates	coordinate	NOUN
ejpam-5785	220	31	.	.	PUNCT
ejpam-5785	221	1	consequently	consequently	ADV
ejpam-5785	221	2	,	,	PUNCT
ejpam-5785	221	3	the	the	DET
ejpam-5785	221	4	function	function	NOUN
ejpam-5785	221	5	f	f	PROPN
ejpam-5785	221	6	has	have	VERB
ejpam-5785	221	7	a	a	DET
ejpam-5785	221	8	unique	unique	ADJ
ejpam-5785	221	9	fixed	fix	VERB
ejpam-5785	221	10	point	point	NOUN
ejpam-5785	221	11	.	.	PUNCT
ejpam-5785	222	1	4	4	X
ejpam-5785	222	2	.	.	X
ejpam-5785	222	3	conclusion	conclusion	VERB
ejpam-5785	222	4	the	the	DET
ejpam-5785	222	5	theory	theory	NOUN
ejpam-5785	222	6	of	of	ADP
ejpam-5785	222	7	fixed	fix	VERB
ejpam-5785	222	8	points	point	NOUN
ejpam-5785	222	9	stands	stand	VERB
ejpam-5785	222	10	as	as	ADP
ejpam-5785	222	11	a	a	DET
ejpam-5785	222	12	cornerstone	cornerstone	NOUN
ejpam-5785	222	13	in	in	ADP
ejpam-5785	222	14	both	both	PRON
ejpam-5785	222	15	applied	apply	VERB
ejpam-5785	222	16	and	and	CCONJ
ejpam-5785	222	17	pure	pure	ADJ
ejpam-5785	222	18	mathematics	mathematic	NOUN
ejpam-5785	222	19	,	,	PUNCT
ejpam-5785	222	20	boasting	boast	VERB
ejpam-5785	222	21	a	a	DET
ejpam-5785	222	22	diverse	diverse	ADJ
ejpam-5785	222	23	array	array	NOUN
ejpam-5785	222	24	of	of	ADP
ejpam-5785	222	25	applications	application	NOUN
ejpam-5785	222	26	across	across	ADP
ejpam-5785	222	27	numerous	numerous	ADJ
ejpam-5785	222	28	fields	field	NOUN
ejpam-5785	222	29	.	.	PUNCT
ejpam-5785	223	1	in	in	ADP
ejpam-5785	223	2	this	this	DET
ejpam-5785	223	3	exploration	exploration	NOUN
ejpam-5785	223	4	,	,	PUNCT
ejpam-5785	223	5	we	we	PRON
ejpam-5785	223	6	present	present	VERB
ejpam-5785	223	7	several	several	ADJ
ejpam-5785	223	8	fixed	fix	VERB
ejpam-5785	223	9	point	point	NOUN
ejpam-5785	223	10	theorems	theorem	NOUN
ejpam-5785	223	11	pertaining	pertain	VERB
ejpam-5785	223	12	to	to	ADP
ejpam-5785	223	13	neutrosophic	neutrosophic	ADJ
ejpam-5785	223	14	fuzzy	fuzzy	ADJ
ejpam-5785	223	15	quasi	quasi	NOUN
ejpam-5785	223	16	-	-	NOUN
ejpam-5785	223	17	contractions	contraction	NOUN
ejpam-5785	223	18	,	,	PUNCT
ejpam-5785	223	19	elegantly	elegantly	ADV
ejpam-5785	223	20	situated	situate	VERB
ejpam-5785	223	21	within	within	ADP
ejpam-5785	223	22	the	the	DET
ejpam-5785	223	23	sophisticated	sophisticated	ADJ
ejpam-5785	223	24	framework	framework	NOUN
ejpam-5785	223	25	of	of	ADP
ejpam-5785	223	26	neutrosophic	neutrosophic	ADJ
ejpam-5785	223	27	fuzzy	fuzzy	ADJ
ejpam-5785	223	28	metric	metric	ADJ
ejpam-5785	223	29	spaces	space	NOUN
ejpam-5785	223	30	.	.	PUNCT
ejpam-5785	224	1	furthermore	furthermore	ADV
ejpam-5785	224	2	,	,	PUNCT
ejpam-5785	224	3	we	we	PRON
ejpam-5785	224	4	unveil	unveil	VERB
ejpam-5785	224	5	a	a	DET
ejpam-5785	224	6	multitude	multitude	NOUN
ejpam-5785	224	7	of	of	ADP
ejpam-5785	224	8	fixed	fix	VERB
ejpam-5785	224	9	point	point	NOUN
ejpam-5785	224	10	results	result	NOUN
ejpam-5785	224	11	that	that	PRON
ejpam-5785	224	12	are	be	AUX
ejpam-5785	224	13	pertinent	pertinent	ADJ
ejpam-5785	224	14	to	to	ADP
ejpam-5785	224	15	this	this	DET
ejpam-5785	224	16	intriguing	intriguing	ADJ
ejpam-5785	224	17	domain	domain	NOUN
ejpam-5785	224	18	of	of	ADP
ejpam-5785	224	19	study	study	NOUN
ejpam-5785	224	20	.	.	PUNCT
ejpam-5785	225	1	future	future	ADJ
ejpam-5785	225	2	research	research	NOUN
ejpam-5785	225	3	could	could	AUX
ejpam-5785	225	4	extend	extend	VERB
ejpam-5785	225	5	these	these	DET
ejpam-5785	225	6	findings	finding	NOUN
ejpam-5785	225	7	to	to	ADP
ejpam-5785	225	8	various	various	ADJ
ejpam-5785	225	9	distance	distance	NOUN
ejpam-5785	225	10	spaces	space	NOUN
ejpam-5785	225	11	,	,	PUNCT
ejpam-5785	225	12	such	such	ADJ
ejpam-5785	225	13	as	as	ADP
ejpam-5785	225	14	neutrosophic	neutrosophic	ADJ
ejpam-5785	225	15	2	2	NUM
ejpam-5785	225	16	-	-	PUNCT
ejpam-5785	225	17	metric	metric	ADJ
ejpam-5785	225	18	spaces	space	NOUN
ejpam-5785	225	19	,	,	PUNCT
ejpam-5785	225	20	and	and	CCONJ
ejpam-5785	225	21	explore	explore	VERB
ejpam-5785	225	22	potential	potential	ADJ
ejpam-5785	225	23	applications	application	NOUN
ejpam-5785	225	24	related	relate	VERB
ejpam-5785	225	25	to	to	ADP
ejpam-5785	225	26	our	our	PRON
ejpam-5785	225	27	work	work	NOUN
ejpam-5785	225	28	.	.	PUNCT
ejpam-5785	226	1	a.	a.	PROPN
ejpam-5785	226	2	bataihah	bataihah	PROPN
ejpam-5785	226	3	,	,	PUNCT
ejpam-5785	226	4	a.	a.	NOUN
ejpam-5785	226	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	226	6	/	/	SYM
ejpam-5785	226	7	eur	eur	PROPN
ejpam-5785	226	8	.	.	PUNCT
ejpam-5785	227	1	j.	j.	PROPN
ejpam-5785	227	2	pure	pure	PROPN
ejpam-5785	227	3	appl	appl	PROPN
ejpam-5785	227	4	.	.	PROPN
ejpam-5785	227	5	math	math	PROPN
ejpam-5785	227	6	,	,	PUNCT
ejpam-5785	227	7	18	18	NUM
ejpam-5785	227	8	(	(	PUNCT
ejpam-5785	227	9	1	1	NUM
ejpam-5785	227	10	)	)	PUNCT
ejpam-5785	227	11	(	(	PUNCT
ejpam-5785	227	12	2025	2025	NUM
ejpam-5785	227	13	)	)	PUNCT
ejpam-5785	227	14	,	,	PUNCT
ejpam-5785	227	15	5785	5785	NUM
ejpam-5785	227	16	13	13	NUM
ejpam-5785	227	17	of	of	ADP
ejpam-5785	227	18	15	15	NUM
ejpam-5785	227	19	references	reference	NOUN
ejpam-5785	227	20	[	[	X
ejpam-5785	227	21	1	1	NUM
ejpam-5785	227	22	]	]	X
ejpam-5785	227	23	hamiden	hamiden	PROPN
ejpam-5785	227	24	abd	abd	PROPN
ejpam-5785	227	25	elwahed	elwahe	VERB
ejpam-5785	227	26	,	,	PUNCT
ejpam-5785	227	27	alhanouf	alhanouf	PROPN
ejpam-5785	227	28	alburaikan	alburaikan	PROPN
ejpam-5785	227	29	,	,	PUNCT
ejpam-5785	227	30	and	and	CCONJ
ejpam-5785	227	31	florentin	florentin	PROPN
ejpam-5785	227	32	smarandache	smarandache	NOUN
ejpam-5785	227	33	.	.	PUNCT
ejpam-5785	228	1	on	on	ADP
ejpam-5785	228	2	characterizing	characterize	VERB
ejpam-5785	228	3	efficient	efficient	ADJ
ejpam-5785	228	4	and	and	CCONJ
ejpam-5785	228	5	properly	properly	ADV
ejpam-5785	228	6	efficient	efficient	ADJ
ejpam-5785	228	7	solutions	solution	NOUN
ejpam-5785	228	8	for	for	ADP
ejpam-5785	228	9	multi	multi	ADJ
ejpam-5785	228	10	-	-	ADJ
ejpam-5785	228	11	objective	objective	ADJ
ejpam-5785	228	12	programming	programming	NOUN
ejpam-5785	228	13	problems	problem	NOUN
ejpam-5785	228	14	in	in	ADP
ejpam-5785	228	15	a	a	DET
ejpam-5785	228	16	complex	complex	ADJ
ejpam-5785	228	17	space	space	NOUN
ejpam-5785	228	18	.	.	PUNCT
ejpam-5785	229	1	journal	journal	NOUN
ejpam-5785	229	2	of	of	ADP
ejpam-5785	229	3	optimization	optimization	NOUN
ejpam-5785	229	4	in	in	ADP
ejpam-5785	229	5	industrial	industrial	ADJ
ejpam-5785	229	6	engineering	engineering	NOUN
ejpam-5785	229	7	,	,	PUNCT
ejpam-5785	229	8	16(2):369–375	16(2):369–375	NUM
ejpam-5785	229	9	,	,	PUNCT
ejpam-5785	229	10	2024	2024	NUM
ejpam-5785	229	11	.	.	PUNCT
ejpam-5785	230	1	[	[	X
ejpam-5785	230	2	2	2	NUM
ejpam-5785	230	3	]	]	X
ejpam-5785	230	4	issam	issam	PROPN
ejpam-5785	230	5	abu	abu	PROPN
ejpam-5785	230	6	-	-	PUNCT
ejpam-5785	230	7	irwaq	irwaq	PROPN
ejpam-5785	230	8	,	,	PUNCT
ejpam-5785	230	9	inam	inam	NOUN
ejpam-5785	230	10	nuseir	nuseir	NOUN
ejpam-5785	230	11	,	,	PUNCT
ejpam-5785	230	12	and	and	CCONJ
ejpam-5785	230	13	anwar	anwar	PROPN
ejpam-5785	230	14	bataihah	bataihah	PROPN
ejpam-5785	230	15	.	.	PUNCT
ejpam-5785	231	1	common	common	ADJ
ejpam-5785	231	2	fixed	fix	VERB
ejpam-5785	231	3	point	point	NOUN
ejpam-5785	231	4	theorems	theorem	NOUN
ejpam-5785	231	5	in	in	ADP
ejpam-5785	231	6	g	g	NOUN
ejpam-5785	231	7	-	-	PUNCT
ejpam-5785	231	8	metric	metric	ADJ
ejpam-5785	231	9	spaces	space	NOUN
ejpam-5785	231	10	with	with	ADP
ejpam-5785	231	11	ω	ω	NOUN
ejpam-5785	231	12	-	-	PUNCT
ejpam-5785	231	13	distance	distance	NOUN
ejpam-5785	231	14	.	.	PUNCT
ejpam-5785	232	1	j.	j.	PROPN
ejpam-5785	232	2	math	math	PROPN
ejpam-5785	232	3	.	.	PUNCT
ejpam-5785	233	1	anal	anal	ADJ
ejpam-5785	233	2	,	,	PUNCT
ejpam-5785	233	3	8(1):120–129	8(1):120–129	NUM
ejpam-5785	233	4	,	,	PUNCT
ejpam-5785	233	5	2017	2017	NUM
ejpam-5785	233	6	.	.	PUNCT
ejpam-5785	234	1	[	[	X
ejpam-5785	234	2	3	3	NUM
ejpam-5785	234	3	]	]	X
ejpam-5785	234	4	sahar	sahar	PROPN
ejpam-5785	234	5	m.	m.	PROPN
ejpam-5785	234	6	alqaraleh	alqaraleh	PROPN
ejpam-5785	234	7	,	,	PUNCT
ejpam-5785	234	8	alkouri	alkouri	PROPN
ejpam-5785	234	9	abd	abd	PROPN
ejpam-5785	234	10	ulazeez	ulazeez	PROPN
ejpam-5785	234	11	m.j.s	m.j.s	PROPN
ejpam-5785	234	12	,	,	PUNCT
ejpam-5785	234	13	mourad	mourad	PROPN
ejpam-5785	234	14	oqla	oqla	PROPN
ejpam-5785	234	15	massa’deh	massa’deh	PROPN
ejpam-5785	234	16	,	,	PUNCT
ejpam-5785	234	17	adeeb	adeeb	PROPN
ejpam-5785	234	18	g.	g.	PROPN
ejpam-5785	234	19	talafha	talafha	PROPN
ejpam-5785	234	20	,	,	PUNCT
ejpam-5785	234	21	and	and	CCONJ
ejpam-5785	234	22	anwar	anwar	PROPN
ejpam-5785	234	23	bataihah	bataihah	PROPN
ejpam-5785	234	24	.	.	PUNCT
ejpam-5785	235	1	bipolar	bipolar	ADJ
ejpam-5785	235	2	complex	complex	ADJ
ejpam-5785	235	3	fuzzy	fuzzy	ADJ
ejpam-5785	235	4	soft	soft	ADJ
ejpam-5785	235	5	sets	set	NOUN
ejpam-5785	235	6	and	and	CCONJ
ejpam-5785	235	7	their	their	PRON
ejpam-5785	235	8	application	application	NOUN
ejpam-5785	235	9	.	.	PUNCT
ejpam-5785	236	1	international	international	ADJ
ejpam-5785	236	2	journal	journal	NOUN
ejpam-5785	236	3	of	of	ADP
ejpam-5785	236	4	fuzzy	fuzzy	ADJ
ejpam-5785	236	5	system	system	NOUN
ejpam-5785	236	6	applications	application	NOUN
ejpam-5785	236	7	(	(	PUNCT
ejpam-5785	236	8	ijfsa	ijfsa	NOUN
ejpam-5785	236	9	)	)	PUNCT
ejpam-5785	236	10	,	,	PUNCT
ejpam-5785	236	11	11(1):1–23	11(1):1–23	NUM
ejpam-5785	236	12	,	,	PUNCT
ejpam-5785	236	13	2022	2022	NUM
ejpam-5785	236	14	.	.	PUNCT
ejpam-5785	237	1	[	[	X
ejpam-5785	237	2	4	4	X
ejpam-5785	237	3	]	]	X
ejpam-5785	237	4	krassimir	krassimir	PROPN
ejpam-5785	237	5	t	t	PROPN
ejpam-5785	237	6	atanassov	atanassov	NOUN
ejpam-5785	237	7	.	.	PUNCT
ejpam-5785	238	1	intuitionistic	intuitionistic	ADJ
ejpam-5785	238	2	fuzzy	fuzzy	ADJ
ejpam-5785	238	3	sets	set	NOUN
ejpam-5785	238	4	.	.	PUNCT
ejpam-5785	239	1	fuzzy	fuzzy	ADJ
ejpam-5785	239	2	sets	set	NOUN
ejpam-5785	239	3	and	and	CCONJ
ejpam-5785	239	4	systems	system	NOUN
ejpam-5785	239	5	,	,	PUNCT
ejpam-5785	239	6	20(1):87–96	20(1):87–96	NUM
ejpam-5785	239	7	,	,	PUNCT
ejpam-5785	239	8	1986	1986	NUM
ejpam-5785	239	9	.	.	PUNCT
ejpam-5785	240	1	[	[	X
ejpam-5785	240	2	5	5	X
ejpam-5785	240	3	]	]	PUNCT
ejpam-5785	240	4	krassimir	krassimir	PROPN
ejpam-5785	240	5	t	t	PROPN
ejpam-5785	240	6	atanassov	atanassov	NOUN
ejpam-5785	240	7	.	.	PUNCT
ejpam-5785	241	1	interval	interval	NOUN
ejpam-5785	241	2	valued	value	VERB
ejpam-5785	241	3	intuitionistic	intuitionistic	ADJ
ejpam-5785	241	4	fuzzy	fuzzy	ADJ
ejpam-5785	241	5	sets	set	NOUN
ejpam-5785	241	6	.	.	PUNCT
ejpam-5785	242	1	springer	springer	NOUN
ejpam-5785	242	2	,	,	PUNCT
ejpam-5785	242	3	1999	1999	NUM
ejpam-5785	242	4	.	.	PUNCT
ejpam-5785	243	1	[	[	X
ejpam-5785	243	2	6	6	X
ejpam-5785	243	3	]	]	X
ejpam-5785	243	4	stefan	stefan	PROPN
ejpam-5785	243	5	banach	banach	PROPN
ejpam-5785	243	6	.	.	PUNCT
ejpam-5785	244	1	sur	sur	PROPN
ejpam-5785	244	2	les	les	X
ejpam-5785	244	3	opérations	opération	NOUN
ejpam-5785	244	4	dans	dan	NOUN
ejpam-5785	244	5	les	les	X
ejpam-5785	244	6	ensembles	ensemble	NOUN
ejpam-5785	244	7	abstraits	abstrait	NOUN
ejpam-5785	244	8	et	et	PROPN
ejpam-5785	244	9	leur	leur	X
ejpam-5785	244	10	application	application	PROPN
ejpam-5785	244	11	aux	aux	PROPN
ejpam-5785	244	12	équations	équations	PROPN
ejpam-5785	244	13	intégrales	intégrale	NOUN
ejpam-5785	244	14	.	.	PUNCT
ejpam-5785	245	1	fundamenta	fundamenta	PROPN
ejpam-5785	245	2	mathematicae	mathematicae	PROPN
ejpam-5785	245	3	,	,	PUNCT
ejpam-5785	245	4	3(1):133–181	3(1):133–181	NUM
ejpam-5785	245	5	,	,	PUNCT
ejpam-5785	245	6	1922	1922	NUM
ejpam-5785	245	7	.	.	PUNCT
ejpam-5785	246	1	[	[	X
ejpam-5785	246	2	7	7	X
ejpam-5785	246	3	]	]	X
ejpam-5785	246	4	ranulfo	ranulfo	PROPN
ejpam-5785	246	5	paiva	paiva	PROPN
ejpam-5785	246	6	barbosa	barbosa	PROPN
ejpam-5785	246	7	and	and	CCONJ
ejpam-5785	246	8	florentin	florentin	PROPN
ejpam-5785	246	9	smarandache	smarandache	PROPN
ejpam-5785	246	10	.	.	PUNCT
ejpam-5785	247	1	neutrosophic	neutrosophic	ADJ
ejpam-5785	247	2	one	one	NUM
ejpam-5785	247	3	-	-	PUNCT
ejpam-5785	247	4	round	round	NOUN
ejpam-5785	247	5	zeroknowledge	zeroknowledge	NOUN
ejpam-5785	247	6	proof	proof	NOUN
ejpam-5785	247	7	.	.	PUNCT
ejpam-5785	248	1	plithogenic	plithogenic	ADJ
ejpam-5785	248	2	logic	logic	NOUN
ejpam-5785	248	3	and	and	CCONJ
ejpam-5785	248	4	computation	computation	NOUN
ejpam-5785	248	5	,	,	PUNCT
ejpam-5785	248	6	2:49–54	2:49–54	NUM
ejpam-5785	248	7	,	,	PUNCT
ejpam-5785	248	8	2024	2024	NUM
ejpam-5785	248	9	.	.	PUNCT
ejpam-5785	249	1	[	[	X
ejpam-5785	249	2	8	8	NUM
ejpam-5785	249	3	]	]	X
ejpam-5785	249	4	anwar	anwar	PROPN
ejpam-5785	249	5	bataihah	bataihah	PROPN
ejpam-5785	249	6	.	.	PUNCT
ejpam-5785	250	1	some	some	DET
ejpam-5785	250	2	fixed	fix	VERB
ejpam-5785	250	3	point	point	NOUN
ejpam-5785	250	4	results	result	NOUN
ejpam-5785	250	5	with	with	ADP
ejpam-5785	250	6	application	application	NOUN
ejpam-5785	250	7	to	to	ADP
ejpam-5785	250	8	fractional	fractional	ADJ
ejpam-5785	250	9	differential	differential	ADJ
ejpam-5785	250	10	equation	equation	NOUN
ejpam-5785	250	11	via	via	ADP
ejpam-5785	250	12	new	new	ADJ
ejpam-5785	250	13	type	type	NOUN
ejpam-5785	250	14	of	of	ADP
ejpam-5785	250	15	distance	distance	NOUN
ejpam-5785	250	16	spaces	space	NOUN
ejpam-5785	250	17	.	.	PUNCT
ejpam-5785	251	1	results	result	NOUN
ejpam-5785	251	2	in	in	ADP
ejpam-5785	251	3	nonlinear	nonlinear	ADJ
ejpam-5785	251	4	analysis	analysis	NOUN
ejpam-5785	251	5	,	,	PUNCT
ejpam-5785	251	6	7:202–208	7:202–208	NUM
ejpam-5785	251	7	,	,	PUNCT
ejpam-5785	251	8	2024	2024	NUM
ejpam-5785	251	9	.	.	PUNCT
ejpam-5785	252	1	[	[	X
ejpam-5785	252	2	9	9	NUM
ejpam-5785	252	3	]	]	PUNCT
ejpam-5785	252	4	anwar	anwar	PROPN
ejpam-5785	252	5	bataihah	bataihah	PROPN
ejpam-5785	252	6	.	.	PUNCT
ejpam-5785	253	1	fixed	fix	VERB
ejpam-5785	253	2	point	point	NOUN
ejpam-5785	253	3	results	result	NOUN
ejpam-5785	253	4	of	of	ADP
ejpam-5785	253	5	geraghty	geraghty	PROPN
ejpam-5785	253	6	type	type	NOUN
ejpam-5785	253	7	contractions	contraction	NOUN
ejpam-5785	253	8	with	with	ADP
ejpam-5785	253	9	equivalent	equivalent	ADJ
ejpam-5785	253	10	distance	distance	NOUN
ejpam-5785	253	11	.	.	PUNCT
ejpam-5785	254	1	international	international	ADJ
ejpam-5785	254	2	journal	journal	PROPN
ejpam-5785	254	3	of	of	ADP
ejpam-5785	254	4	neutrosophic	neutrosophic	ADJ
ejpam-5785	254	5	science	science	NOUN
ejpam-5785	254	6	,	,	PUNCT
ejpam-5785	254	7	25(3):177–186	25(3):177–186	PROPN
ejpam-5785	254	8	,	,	PUNCT
ejpam-5785	254	9	2025	2025	NUM
ejpam-5785	254	10	.	.	PUNCT
ejpam-5785	255	1	[	[	X
ejpam-5785	255	2	10	10	NUM
ejpam-5785	255	3	]	]	X
ejpam-5785	255	4	anwar	anwar	PROPN
ejpam-5785	255	5	bataihah	bataihah	PROPN
ejpam-5785	255	6	and	and	CCONJ
ejpam-5785	255	7	tariq	tariq	PROPN
ejpam-5785	255	8	qawasmeh	qawasmeh	NOUN
ejpam-5785	255	9	.	.	PUNCT
ejpam-5785	256	1	a	a	DET
ejpam-5785	256	2	new	new	ADJ
ejpam-5785	256	3	type	type	NOUN
ejpam-5785	256	4	of	of	ADP
ejpam-5785	256	5	distance	distance	NOUN
ejpam-5785	256	6	spaces	space	NOUN
ejpam-5785	256	7	and	and	CCONJ
ejpam-5785	256	8	fixed	fix	VERB
ejpam-5785	256	9	point	point	NOUN
ejpam-5785	256	10	results	result	NOUN
ejpam-5785	256	11	.	.	PUNCT
ejpam-5785	257	1	journal	journal	NOUN
ejpam-5785	257	2	of	of	ADP
ejpam-5785	257	3	mathematical	mathematical	ADJ
ejpam-5785	257	4	analysis	analysis	NOUN
ejpam-5785	257	5	,	,	PUNCT
ejpam-5785	257	6	15(4):81–90	15(4):81–90	NUM
ejpam-5785	257	7	,	,	PUNCT
ejpam-5785	257	8	2024	2024	NUM
ejpam-5785	257	9	.	.	PUNCT
ejpam-5785	258	1	[	[	X
ejpam-5785	258	2	11	11	NUM
ejpam-5785	258	3	]	]	X
ejpam-5785	258	4	victor	victor	NOUN
ejpam-5785	258	5	christianto	christianto	PROPN
ejpam-5785	258	6	,	,	PUNCT
ejpam-5785	258	7	florentin	florentin	NOUN
ejpam-5785	258	8	smarandache	smarandache	NOUN
ejpam-5785	258	9	,	,	PUNCT
ejpam-5785	258	10	and	and	CCONJ
ejpam-5785	258	11	robert	robert	PROPN
ejpam-5785	258	12	n	n	PROPN
ejpam-5785	258	13	boyd	boyd	PROPN
ejpam-5785	258	14	.	.	PUNCT
ejpam-5785	259	1	remark	remark	PROPN
ejpam-5785	259	2	on	on	ADP
ejpam-5785	259	3	regenerative	regenerative	ADJ
ejpam-5785	259	4	medicine	medicine	NOUN
ejpam-5785	259	5	and	and	CCONJ
ejpam-5785	259	6	potential	potential	ADJ
ejpam-5785	259	7	utilization	utilization	NOUN
ejpam-5785	259	8	of	of	ADP
ejpam-5785	259	9	low	low	ADJ
ejpam-5785	259	10	-	-	PUNCT
ejpam-5785	259	11	intensity	intensity	NOUN
ejpam-5785	259	12	laser	laser	NOUN
ejpam-5785	259	13	photobiomodulation	photobiomodulation	NOUN
ejpam-5785	259	14	to	to	PART
ejpam-5785	259	15	activate	activate	VERB
ejpam-5785	259	16	human	human	ADJ
ejpam-5785	259	17	stem	stem	NOUN
ejpam-5785	259	18	cells	cell	NOUN
ejpam-5785	259	19	.	.	PUNCT
ejpam-5785	260	1	bio	bio	PROPN
ejpam-5785	260	2	-	-	PUNCT
ejpam-5785	260	3	science	science	PROPN
ejpam-5785	260	4	research	research	NOUN
ejpam-5785	260	5	bulletin	bulletin	NOUN
ejpam-5785	260	6	(	(	PUNCT
ejpam-5785	260	7	life	life	NOUN
ejpam-5785	260	8	sciences	science	NOUN
ejpam-5785	260	9	)	)	PUNCT
ejpam-5785	260	10	,	,	PUNCT
ejpam-5785	260	11	pages	page	NOUN
ejpam-5785	260	12	52–55	52–55	NUM
ejpam-5785	260	13	,	,	PUNCT
ejpam-5785	260	14	2024	2024	NUM
ejpam-5785	260	15	.	.	PUNCT
ejpam-5785	261	1	[	[	X
ejpam-5785	261	2	12	12	NUM
ejpam-5785	261	3	]	]	X
ejpam-5785	261	4	lj	lj	PROPN
ejpam-5785	261	5	b	b	PROPN
ejpam-5785	261	6	ćirić.	ćirić.	DET
ejpam-5785	261	7	a	a	DET
ejpam-5785	261	8	generalization	generalization	NOUN
ejpam-5785	261	9	of	of	ADP
ejpam-5785	261	10	banach	banach	NOUN
ejpam-5785	261	11	’s	’s	PART
ejpam-5785	261	12	contraction	contraction	NOUN
ejpam-5785	261	13	principle	principle	NOUN
ejpam-5785	261	14	.	.	PUNCT
ejpam-5785	262	1	proceedings	proceeding	NOUN
ejpam-5785	262	2	of	of	ADP
ejpam-5785	262	3	the	the	DET
ejpam-5785	262	4	american	american	PROPN
ejpam-5785	262	5	mathematical	mathematical	PROPN
ejpam-5785	262	6	society	society	NOUN
ejpam-5785	262	7	,	,	PUNCT
ejpam-5785	262	8	45(2):267–273	45(2):267–273	PROPN
ejpam-5785	262	9	,	,	PUNCT
ejpam-5785	262	10	1974	1974	NUM
ejpam-5785	262	11	.	.	PUNCT
ejpam-5785	263	1	[	[	X
ejpam-5785	263	2	13	13	NUM
ejpam-5785	263	3	]	]	PUNCT
ejpam-5785	263	4	sujit	sujit	PROPN
ejpam-5785	263	5	das	das	PROPN
ejpam-5785	263	6	,	,	PUNCT
ejpam-5785	263	7	bikash	bikash	PROPN
ejpam-5785	263	8	koli	koli	PROPN
ejpam-5785	263	9	roy	roy	PROPN
ejpam-5785	263	10	,	,	PUNCT
ejpam-5785	263	11	mohuya	mohuya	PROPN
ejpam-5785	263	12	b	b	PROPN
ejpam-5785	263	13	kar	kar	PROPN
ejpam-5785	263	14	,	,	PUNCT
ejpam-5785	263	15	samarjit	samarjit	PROPN
ejpam-5785	263	16	kar	kar	PROPN
ejpam-5785	263	17	,	,	PUNCT
ejpam-5785	263	18	and	and	CCONJ
ejpam-5785	263	19	dragan	dragan	VERB
ejpam-5785	263	20	pamučar	pamučar	PROPN
ejpam-5785	263	21	.	.	PUNCT
ejpam-5785	263	22	neutrosophic	neutrosophic	ADJ
ejpam-5785	263	23	fuzzy	fuzzy	ADJ
ejpam-5785	263	24	set	set	NOUN
ejpam-5785	263	25	and	and	CCONJ
ejpam-5785	263	26	its	its	PRON
ejpam-5785	263	27	application	application	NOUN
ejpam-5785	263	28	in	in	ADP
ejpam-5785	263	29	decision	decision	NOUN
ejpam-5785	263	30	making	making	NOUN
ejpam-5785	263	31	.	.	PUNCT
ejpam-5785	264	1	journal	journal	PROPN
ejpam-5785	264	2	of	of	ADP
ejpam-5785	264	3	ambient	ambient	ADJ
ejpam-5785	264	4	intelligence	intelligence	NOUN
ejpam-5785	264	5	and	and	CCONJ
ejpam-5785	264	6	humanized	humanize	VERB
ejpam-5785	264	7	computing	computing	NOUN
ejpam-5785	264	8	,	,	PUNCT
ejpam-5785	264	9	11:5017–5029	11:5017–5029	NUM
ejpam-5785	264	10	,	,	PUNCT
ejpam-5785	264	11	2020	2020	NUM
ejpam-5785	264	12	.	.	PUNCT
ejpam-5785	265	1	[	[	X
ejpam-5785	265	2	14	14	NUM
ejpam-5785	265	3	]	]	X
ejpam-5785	265	4	ahlam	ahlam	PROPN
ejpam-5785	265	5	fallatah	fallatah	PROPN
ejpam-5785	265	6	,	,	PUNCT
ejpam-5785	265	7	mourad	mourad	PROPN
ejpam-5785	265	8	oqla	oqla	PROPN
ejpam-5785	265	9	massa’deh	massa’deh	PROPN
ejpam-5785	265	10	,	,	PUNCT
ejpam-5785	265	11	and	and	CCONJ
ejpam-5785	265	12	abd	abd	PROPN
ejpam-5785	265	13	ulazeez	ulazeez	PROPN
ejpam-5785	265	14	alkouri	alkouri	PROPN
ejpam-5785	265	15	.	.	PUNCT
ejpam-5785	266	1	normal	normal	ADJ
ejpam-5785	266	2	and	and	CCONJ
ejpam-5785	266	3	cosets	coset	NOUN
ejpam-5785	266	4	of	of	ADP
ejpam-5785	266	5	(	(	PUNCT
ejpam-5785	266	6	γ	γ	PROPN
ejpam-5785	266	7	,	,	PUNCT
ejpam-5785	266	8	ϑ)-fuzzy	ϑ)-fuzzy	PUNCT
ejpam-5785	266	9	hx	hx	PROPN
ejpam-5785	266	10	-	-	PUNCT
ejpam-5785	266	11	subgroups	subgroup	NOUN
ejpam-5785	266	12	.	.	PUNCT
ejpam-5785	267	1	journal	journal	NOUN
ejpam-5785	267	2	of	of	ADP
ejpam-5785	267	3	applied	apply	VERB
ejpam-5785	267	4	mathematics	mathematics	PROPN
ejpam-5785	267	5	&	&	CCONJ
ejpam-5785	267	6	informatics	informatics	PROPN
ejpam-5785	267	7	,	,	PUNCT
ejpam-5785	267	8	40(3	40(3	NUM
ejpam-5785	267	9	4):719–727	4):719–727	NUM
ejpam-5785	267	10	,	,	PUNCT
ejpam-5785	267	11	2022	2022	NUM
ejpam-5785	267	12	.	.	PUNCT
ejpam-5785	268	1	[	[	X
ejpam-5785	268	2	15	15	NUM
ejpam-5785	268	3	]	]	X
ejpam-5785	268	4	samriddhi	samriddhi	PROPN
ejpam-5785	268	5	ghosh	ghosh	PROPN
ejpam-5785	268	6	,	,	PUNCT
ejpam-5785	268	7	sonam	sonam	PROPN
ejpam-5785	268	8	,	,	PUNCT
ejpam-5785	268	9	ramakant	ramakant	ADJ
ejpam-5785	268	10	bhardwaj	bhardwaj	PROPN
ejpam-5785	268	11	,	,	PUNCT
ejpam-5785	268	12	and	and	CCONJ
ejpam-5785	268	13	satyendra	satyendra	PROPN
ejpam-5785	268	14	narayan	narayan	PROPN
ejpam-5785	268	15	.	.	PUNCT
ejpam-5785	269	1	on	on	ADP
ejpam-5785	269	2	neutrosophic	neutrosophic	ADJ
ejpam-5785	269	3	fuzzy	fuzzy	ADJ
ejpam-5785	269	4	metric	metric	ADJ
ejpam-5785	269	5	space	space	NOUN
ejpam-5785	269	6	and	and	CCONJ
ejpam-5785	269	7	its	its	PRON
ejpam-5785	269	8	topological	topological	ADJ
ejpam-5785	269	9	properties	property	NOUN
ejpam-5785	269	10	.	.	PUNCT
ejpam-5785	270	1	symmetry	symmetry	NOUN
ejpam-5785	270	2	,	,	PUNCT
ejpam-5785	270	3	16(5):613	16(5):613	PROPN
ejpam-5785	270	4	,	,	PUNCT
ejpam-5785	270	5	2024	2024	NUM
ejpam-5785	270	6	.	.	PUNCT
ejpam-5785	271	1	[	[	X
ejpam-5785	271	2	16	16	NUM
ejpam-5785	271	3	]	]	PUNCT
ejpam-5785	271	4	hannah	hannah	PROPN
ejpam-5785	271	5	grace	grace	NOUN
ejpam-5785	271	6	,	,	PUNCT
ejpam-5785	271	7	nivetha	nivetha	PROPN
ejpam-5785	271	8	martin	martin	PROPN
ejpam-5785	271	9	,	,	PUNCT
ejpam-5785	271	10	florentin	florentin	PROPN
ejpam-5785	271	11	smarandache	smarandache	PROPN
ejpam-5785	271	12	,	,	PUNCT
ejpam-5785	271	13	et	et	PROPN
ejpam-5785	271	14	al	al	PROPN
ejpam-5785	271	15	.	.	PROPN
ejpam-5785	271	16	enhanced	enhance	VERB
ejpam-5785	271	17	neutrosophic	neutrosophic	ADJ
ejpam-5785	271	18	set	set	NOUN
ejpam-5785	271	19	and	and	CCONJ
ejpam-5785	271	20	machine	machine	NOUN
ejpam-5785	271	21	learning	learn	VERB
ejpam-5785	271	22	approach	approach	NOUN
ejpam-5785	271	23	for	for	ADP
ejpam-5785	271	24	breast	breast	NOUN
ejpam-5785	271	25	cancer	cancer	NOUN
ejpam-5785	271	26	prediction	prediction	NOUN
ejpam-5785	271	27	.	.	PUNCT
ejpam-5785	272	1	neutrosophic	neutrosophic	ADJ
ejpam-5785	272	2	sets	set	NOUN
ejpam-5785	272	3	and	and	CCONJ
ejpam-5785	272	4	systems	system	NOUN
ejpam-5785	272	5	,	,	PUNCT
ejpam-5785	272	6	73(1):20	73(1):20	NUM
ejpam-5785	272	7	,	,	PUNCT
ejpam-5785	272	8	2024	2024	NUM
ejpam-5785	272	9	.	.	PUNCT
ejpam-5785	273	1	a.	a.	PROPN
ejpam-5785	273	2	bataihah	bataihah	PROPN
ejpam-5785	273	3	,	,	PUNCT
ejpam-5785	273	4	a.	a.	NOUN
ejpam-5785	273	5	hazaymeh	hazaymeh	NOUN
ejpam-5785	273	6	/	/	SYM
ejpam-5785	273	7	eur	eur	PROPN
ejpam-5785	273	8	.	.	PUNCT
ejpam-5785	274	1	j.	j.	PROPN
ejpam-5785	274	2	pure	pure	PROPN
ejpam-5785	274	3	appl	appl	PROPN
ejpam-5785	274	4	.	.	PROPN
ejpam-5785	274	5	math	math	PROPN
ejpam-5785	274	6	,	,	PUNCT
ejpam-5785	274	7	18	18	NUM
ejpam-5785	274	8	(	(	PUNCT
ejpam-5785	274	9	1	1	NUM
ejpam-5785	274	10	)	)	PUNCT
ejpam-5785	274	11	(	(	PUNCT
ejpam-5785	274	12	2025	2025	NUM
ejpam-5785	274	13	)	)	PUNCT
ejpam-5785	274	14	,	,	PUNCT
ejpam-5785	274	15	5785	5785	NUM
ejpam-5785	274	16	14	14	NUM
ejpam-5785	274	17	of	of	ADP
ejpam-5785	274	18	15	15	NUM
ejpam-5785	274	19	[	[	SYM
ejpam-5785	274	20	17	17	NUM
ejpam-5785	274	21	]	]	PUNCT
ejpam-5785	274	22	ayman	ayman	PROPN
ejpam-5785	274	23	hazaymeh	hazaymeh	NOUN
ejpam-5785	274	24	.	.	PUNCT
ejpam-5785	275	1	time	time	NOUN
ejpam-5785	275	2	effective	effective	ADJ
ejpam-5785	275	3	fuzzy	fuzzy	ADJ
ejpam-5785	275	4	soft	soft	ADJ
ejpam-5785	275	5	set	set	NOUN
ejpam-5785	275	6	and	and	CCONJ
ejpam-5785	275	7	its	its	PRON
ejpam-5785	275	8	some	some	DET
ejpam-5785	275	9	applications	application	NOUN
ejpam-5785	275	10	with	with	ADP
ejpam-5785	275	11	and	and	CCONJ
ejpam-5785	275	12	without	without	ADP
ejpam-5785	275	13	a	a	DET
ejpam-5785	275	14	neutrosophic	neutrosophic	ADJ
ejpam-5785	275	15	.	.	PUNCT
ejpam-5785	276	1	international	international	ADJ
ejpam-5785	276	2	journal	journal	PROPN
ejpam-5785	276	3	of	of	ADP
ejpam-5785	276	4	neutrosophic	neutrosophic	ADJ
ejpam-5785	276	5	science	science	NOUN
ejpam-5785	276	6	,	,	PUNCT
ejpam-5785	276	7	23(2):129–29	23(2):129–29	NUM
ejpam-5785	276	8	,	,	PUNCT
ejpam-5785	276	9	2024	2024	NUM
ejpam-5785	276	10	.	.	PUNCT
ejpam-5785	277	1	[	[	X
ejpam-5785	277	2	18	18	NUM
ejpam-5785	277	3	]	]	PUNCT
ejpam-5785	277	4	ayman	ayman	NOUN
ejpam-5785	277	5	a	a	DET
ejpam-5785	277	6	hazaymeh	hazaymeh	NOUN
ejpam-5785	277	7	.	.	PUNCT
ejpam-5785	278	1	time	time	NOUN
ejpam-5785	278	2	factor	factor	NOUN
ejpam-5785	278	3	’s	’s	PART
ejpam-5785	278	4	impact	impact	NOUN
ejpam-5785	278	5	on	on	ADP
ejpam-5785	278	6	fuzzy	fuzzy	ADJ
ejpam-5785	278	7	soft	soft	ADJ
ejpam-5785	278	8	expert	expert	NOUN
ejpam-5785	278	9	sets	set	NOUN
ejpam-5785	278	10	.	.	PUNCT
ejpam-5785	279	1	international	international	ADJ
ejpam-5785	279	2	journal	journal	PROPN
ejpam-5785	279	3	of	of	ADP
ejpam-5785	279	4	neutrosophic	neutrosophic	ADJ
ejpam-5785	279	5	science	science	NOUN
ejpam-5785	279	6	,	,	PUNCT
ejpam-5785	279	7	25(3):155–55	25(3):155–55	NUM
ejpam-5785	279	8	,	,	PUNCT
ejpam-5785	279	9	2025	2025	NUM
ejpam-5785	279	10	.	.	PUNCT
ejpam-5785	280	1	[	[	X
ejpam-5785	280	2	19	19	NUM
ejpam-5785	280	3	]	]	X
ejpam-5785	280	4	ayman	ayman	NOUN
ejpam-5785	280	5	a	a	DET
ejpam-5785	280	6	hazaymeh	hazaymeh	NOUN
ejpam-5785	280	7	.	.	PUNCT
ejpam-5785	281	1	time	time	NOUN
ejpam-5785	281	2	fuzzy	fuzzy	ADJ
ejpam-5785	281	3	soft	soft	ADJ
ejpam-5785	281	4	sets	set	NOUN
ejpam-5785	281	5	and	and	CCONJ
ejpam-5785	281	6	its	its	PRON
ejpam-5785	281	7	application	application	NOUN
ejpam-5785	281	8	in	in	ADP
ejpam-5785	281	9	design	design	NOUN
ejpam-5785	281	10	-	-	PUNCT
ejpam-5785	281	11	making	making	NOUN
ejpam-5785	281	12	.	.	PUNCT
ejpam-5785	282	1	international	international	ADJ
ejpam-5785	282	2	journal	journal	PROPN
ejpam-5785	282	3	of	of	ADP
ejpam-5785	282	4	neutrosophic	neutrosophic	ADJ
ejpam-5785	282	5	science	science	NOUN
ejpam-5785	282	6	,	,	PUNCT
ejpam-5785	282	7	25(3):37–7	25(3):37–7	PROPN
ejpam-5785	282	8	,	,	PUNCT
ejpam-5785	282	9	2025	2025	NUM
ejpam-5785	282	10	.	.	PUNCT
ejpam-5785	283	1	[	[	X
ejpam-5785	283	2	20	20	NUM
ejpam-5785	283	3	]	]	PUNCT
ejpam-5785	283	4	ayman	ayman	PROPN
ejpam-5785	283	5	abdelkarim	abdelkarim	PROPN
ejpam-5785	283	6	mohammad	mohammad	PROPN
ejpam-5785	283	7	hazaymeh	hazaymeh	PROPN
ejpam-5785	283	8	.	.	PUNCT
ejpam-5785	284	1	fuzzy	fuzzy	ADJ
ejpam-5785	284	2	soft	soft	ADJ
ejpam-5785	284	3	set	set	NOUN
ejpam-5785	284	4	and	and	CCONJ
ejpam-5785	284	5	fuzzy	fuzzy	ADJ
ejpam-5785	284	6	soft	soft	ADJ
ejpam-5785	284	7	expert	expert	NOUN
ejpam-5785	284	8	set	set	NOUN
ejpam-5785	284	9	:	:	PUNCT
ejpam-5785	284	10	some	some	DET
ejpam-5785	284	11	generalizations	generalization	NOUN
ejpam-5785	284	12	and	and	CCONJ
ejpam-5785	284	13	hypothetical	hypothetical	ADJ
ejpam-5785	284	14	applications	application	NOUN
ejpam-5785	284	15	.	.	PUNCT
ejpam-5785	285	1	phd	phd	NOUN
ejpam-5785	285	2	thesis	thesis	PROPN
ejpam-5785	285	3	,	,	PUNCT
ejpam-5785	285	4	universiti	universiti	PROPN
ejpam-5785	285	5	sains	sain	VERB
ejpam-5785	285	6	islam	islam	PROPN
ejpam-5785	285	7	malaysia	malaysia	PROPN
ejpam-5785	285	8	,	,	PUNCT
ejpam-5785	285	9	2013	2013	NUM
ejpam-5785	285	10	.	.	PUNCT
ejpam-5785	286	1	[	[	X
ejpam-5785	286	2	21	21	NUM
ejpam-5785	286	3	]	]	X
ejpam-5785	286	4	mohamed	mohamed	PROPN
ejpam-5785	286	5	jleli	jleli	PROPN
ejpam-5785	286	6	and	and	CCONJ
ejpam-5785	286	7	bessem	bessem	NOUN
ejpam-5785	286	8	samet	samet	PROPN
ejpam-5785	286	9	.	.	PUNCT
ejpam-5785	287	1	a	a	DET
ejpam-5785	287	2	generalized	generalize	VERB
ejpam-5785	287	3	metric	metric	ADJ
ejpam-5785	287	4	space	space	NOUN
ejpam-5785	287	5	and	and	CCONJ
ejpam-5785	287	6	related	relate	VERB
ejpam-5785	287	7	fixed	fix	VERB
ejpam-5785	287	8	point	point	NOUN
ejpam-5785	287	9	theorems	theorem	NOUN
ejpam-5785	287	10	.	.	PUNCT
ejpam-5785	288	1	fixed	fix	VERB
ejpam-5785	288	2	point	point	NOUN
ejpam-5785	288	3	theory	theory	NOUN
ejpam-5785	288	4	and	and	CCONJ
ejpam-5785	288	5	applications	application	NOUN
ejpam-5785	288	6	,	,	PUNCT
ejpam-5785	288	7	2015:1–14	2015:1–14	NUM
ejpam-5785	288	8	,	,	PUNCT
ejpam-5785	288	9	2015	2015	NUM
ejpam-5785	288	10	.	.	PUNCT
ejpam-5785	289	1	[	[	X
ejpam-5785	289	2	22	22	NUM
ejpam-5785	289	3	]	]	X
ejpam-5785	289	4	erdal	erdal	PROPN
ejpam-5785	289	5	karapınar	karapınar	PROPN
ejpam-5785	289	6	and	and	CCONJ
ejpam-5785	289	7	andreea	andreea	PROPN
ejpam-5785	289	8	fulga	fulga	PROPN
ejpam-5785	289	9	.	.	PUNCT
ejpam-5785	290	1	discussions	discussion	NOUN
ejpam-5785	290	2	on	on	ADP
ejpam-5785	290	3	proinov	proinov	PROPN
ejpam-5785	290	4	-	-	PUNCT
ejpam-5785	290	5	c	c	PROPN
ejpam-5785	290	6	b	b	NOUN
ejpam-5785	290	7	-	-	PUNCT
ejpam-5785	290	8	contraction	contraction	NOUN
ejpam-5785	290	9	mapping	mapping	NOUN
ejpam-5785	290	10	on	on	ADP
ejpam-5785	290	11	b	b	NOUN
ejpam-5785	290	12	-	-	PUNCT
ejpam-5785	290	13	metric	metric	ADJ
ejpam-5785	290	14	space	space	NOUN
ejpam-5785	290	15	.	.	PUNCT
ejpam-5785	291	1	journal	journal	PROPN
ejpam-5785	291	2	of	of	ADP
ejpam-5785	291	3	function	function	NOUN
ejpam-5785	291	4	spaces	space	NOUN
ejpam-5785	291	5	,	,	PUNCT
ejpam-5785	291	6	2023(1):1411808	2023(1):1411808	NOUN
ejpam-5785	291	7	,	,	PUNCT
ejpam-5785	291	8	2023	2023	NUM
ejpam-5785	291	9	.	.	PUNCT
ejpam-5785	292	1	[	[	X
ejpam-5785	292	2	23	23	NUM
ejpam-5785	292	3	]	]	X
ejpam-5785	292	4	ms	ms	PROPN
ejpam-5785	292	5	khan	khan	PROPN
ejpam-5785	292	6	,	,	PUNCT
ejpam-5785	292	7	y	y	PROPN
ejpam-5785	292	8	mahendra	mahendra	PROPN
ejpam-5785	292	9	singh	singh	PROPN
ejpam-5785	292	10	,	,	PUNCT
ejpam-5785	292	11	georgeta	georgeta	PROPN
ejpam-5785	292	12	maniu	maniu	PROPN
ejpam-5785	292	13	,	,	PUNCT
ejpam-5785	292	14	and	and	CCONJ
ejpam-5785	292	15	mihai	mihai	PROPN
ejpam-5785	292	16	postolache	postolache	PROPN
ejpam-5785	292	17	.	.	PUNCT
ejpam-5785	293	1	on	on	ADP
ejpam-5785	293	2	(	(	PUNCT
ejpam-5785	293	3	α	α	NOUN
ejpam-5785	293	4	,	,	PUNCT
ejpam-5785	293	5	p)convex	p)convex	NOUN
ejpam-5785	293	6	contraction	contraction	NOUN
ejpam-5785	293	7	and	and	CCONJ
ejpam-5785	293	8	asymptotic	asymptotic	ADJ
ejpam-5785	293	9	regularity	regularity	NOUN
ejpam-5785	293	10	.	.	PUNCT
ejpam-5785	294	1	j.	j.	PROPN
ejpam-5785	294	2	math	math	PROPN
ejpam-5785	294	3	.	.	PUNCT
ejpam-5785	295	1	comput	comput	NOUN
ejpam-5785	295	2	.	.	PUNCT
ejpam-5785	296	1	sci	sci	PROPN
ejpam-5785	296	2	,	,	PUNCT
ejpam-5785	296	3	18:132–145	18:132–145	NUM
ejpam-5785	296	4	,	,	PUNCT
ejpam-5785	296	5	2018	2018	NUM
ejpam-5785	296	6	.	.	PUNCT
ejpam-5785	297	1	[	[	X
ejpam-5785	297	2	24	24	NUM
ejpam-5785	297	3	]	]	X
ejpam-5785	297	4	murat	murat	PROPN
ejpam-5785	297	5	kirişci	kirişci	PROPN
ejpam-5785	297	6	and	and	CCONJ
ejpam-5785	297	7	necip	necip	PROPN
ejpam-5785	297	8	şimşek	şimşek	NOUN
ejpam-5785	297	9	.	.	PUNCT
ejpam-5785	298	1	neutrosophic	neutrosophic	ADJ
ejpam-5785	298	2	metric	metric	ADJ
ejpam-5785	298	3	spaces	space	NOUN
ejpam-5785	298	4	.	.	PUNCT
ejpam-5785	299	1	mathematical	mathematical	ADJ
ejpam-5785	299	2	sciences	science	NOUN
ejpam-5785	299	3	,	,	PUNCT
ejpam-5785	299	4	14(3):241–248	14(3):241–248	NUM
ejpam-5785	299	5	,	,	PUNCT
ejpam-5785	299	6	2020	2020	NUM
ejpam-5785	299	7	.	.	PUNCT
ejpam-5785	300	1	[	[	X
ejpam-5785	300	2	25	25	NUM
ejpam-5785	300	3	]	]	PUNCT
ejpam-5785	300	4	abdul	abdul	PROPN
ejpam-5785	300	5	latif	latif	PROPN
ejpam-5785	300	6	,	,	PUNCT
ejpam-5785	300	7	mihai	mihai	PROPN
ejpam-5785	300	8	postolache	postolache	PROPN
ejpam-5785	300	9	,	,	PUNCT
ejpam-5785	300	10	and	and	CCONJ
ejpam-5785	300	11	monairah	monairah	PROPN
ejpam-5785	300	12	omar	omar	PROPN
ejpam-5785	300	13	alansari	alansari	PROPN
ejpam-5785	300	14	.	.	PUNCT
ejpam-5785	301	1	numerical	numerical	PROPN
ejpam-5785	301	2	reckoning	reckon	VERB
ejpam-5785	301	3	common	common	ADJ
ejpam-5785	301	4	fixed	fix	VERB
ejpam-5785	301	5	point	point	NOUN
ejpam-5785	301	6	in	in	ADP
ejpam-5785	301	7	cat	cat	NOUN
ejpam-5785	301	8	(	(	PUNCT
ejpam-5785	301	9	0	0	NUM
ejpam-5785	301	10	)	)	PUNCT
ejpam-5785	301	11	spaces	space	NOUN
ejpam-5785	301	12	for	for	ADP
ejpam-5785	301	13	a	a	DET
ejpam-5785	301	14	general	general	ADJ
ejpam-5785	301	15	class	class	NOUN
ejpam-5785	301	16	of	of	ADP
ejpam-5785	301	17	operators	operator	NOUN
ejpam-5785	301	18	.	.	PUNCT
ejpam-5785	302	1	upb	upb	PROPN
ejpam-5785	302	2	sci	sci	PROPN
ejpam-5785	302	3	.	.	PUNCT
ejpam-5785	302	4	bull	bull	PROPN
ejpam-5785	302	5	,	,	PUNCT
ejpam-5785	302	6	84:3–12	84:3–12	NUM
ejpam-5785	302	7	,	,	PUNCT
ejpam-5785	302	8	2022	2022	NUM
ejpam-5785	302	9	.	.	PUNCT
ejpam-5785	303	1	[	[	X
ejpam-5785	303	2	26	26	NUM
ejpam-5785	303	3	]	]	X
ejpam-5785	303	4	k	k	PROPN
ejpam-5785	303	5	menger	menger	PROPN
ejpam-5785	303	6	.	.	PUNCT
ejpam-5785	304	1	statistical	statistical	ADJ
ejpam-5785	304	2	metrics	metric	NOUN
ejpam-5785	304	3	.	.	PUNCT
ejpam-5785	305	1	proceedings	proceeding	NOUN
ejpam-5785	305	2	of	of	ADP
ejpam-5785	305	3	the	the	DET
ejpam-5785	305	4	national	national	PROPN
ejpam-5785	305	5	academy	academy	PROPN
ejpam-5785	305	6	of	of	ADP
ejpam-5785	305	7	sciences	sciences	PROPN
ejpam-5785	305	8	of	of	ADP
ejpam-5785	305	9	the	the	DET
ejpam-5785	305	10	united	united	PROPN
ejpam-5785	305	11	states	states	PROPN
ejpam-5785	305	12	of	of	ADP
ejpam-5785	305	13	america	america	PROPN
ejpam-5785	305	14	,	,	PUNCT
ejpam-5785	305	15	28(12):535–537	28(12):535–537	PROPN
ejpam-5785	305	16	,	,	PUNCT
ejpam-5785	305	17	1942	1942	NUM
ejpam-5785	305	18	.	.	PUNCT
ejpam-5785	306	1	[	[	X
ejpam-5785	306	2	27	27	NUM
ejpam-5785	306	3	]	]	X
ejpam-5785	306	4	mădălina	mădălina	PROPN
ejpam-5785	306	5	moga	moga	PROPN
ejpam-5785	306	6	and	and	CCONJ
ejpam-5785	306	7	radu	radu	PROPN
ejpam-5785	306	8	trus	trus	PROPN
ejpam-5785	306	9	,	,	PUNCT
ejpam-5785	306	10	că.	că.	PROPN
ejpam-5785	306	11	on	on	ADP
ejpam-5785	306	12	some	some	DET
ejpam-5785	306	13	fixed	fix	VERB
ejpam-5785	306	14	point	point	NOUN
ejpam-5785	306	15	theorems	theorem	NOUN
ejpam-5785	306	16	for	for	ADP
ejpam-5785	306	17	ćirić	ćirić	PROPN
ejpam-5785	306	18	operators	operator	NOUN
ejpam-5785	306	19	.	.	PUNCT
ejpam-5785	307	1	miskolc	miskolc	ADJ
ejpam-5785	307	2	mathematical	mathematical	ADJ
ejpam-5785	307	3	notes	note	NOUN
ejpam-5785	307	4	,	,	PUNCT
ejpam-5785	307	5	25(2):871–885	25(2):871–885	PROPN
ejpam-5785	307	6	,	,	PUNCT
ejpam-5785	307	7	2024	2024	NUM
ejpam-5785	307	8	.	.	PUNCT
ejpam-5785	308	1	[	[	X
ejpam-5785	308	2	28	28	NUM
ejpam-5785	308	3	]	]	X
ejpam-5785	308	4	shehu	shehu	NOUN
ejpam-5785	308	5	shagari	shagari	PROPN
ejpam-5785	308	6	mohammed	mohammed	PROPN
ejpam-5785	308	7	,	,	PUNCT
ejpam-5785	308	8	rhoda	rhoda	PROPN
ejpam-5785	308	9	chiroma	chiroma	PROPN
ejpam-5785	308	10	,	,	PUNCT
ejpam-5785	308	11	and	and	CCONJ
ejpam-5785	308	12	sirajo	sirajo	PROPN
ejpam-5785	308	13	yahaya	yahaya	PROPN
ejpam-5785	308	14	.	.	PUNCT
ejpam-5785	309	1	ciric	ciric	ADJ
ejpam-5785	309	2	-	-	PUNCT
ejpam-5785	309	3	rhoades	rhoade	NOUN
ejpam-5785	309	4	-	-	PUNCT
ejpam-5785	309	5	type	type	NOUN
ejpam-5785	309	6	contractive	contractive	ADJ
ejpam-5785	309	7	mappings	mapping	NOUN
ejpam-5785	309	8	.	.	PUNCT
ejpam-5785	310	1	nonlinear	nonlinear	ADJ
ejpam-5785	310	2	convex	convex	ADJ
ejpam-5785	310	3	analysis	analysis	NOUN
ejpam-5785	310	4	and	and	CCONJ
ejpam-5785	310	5	optimization	optimization	NOUN
ejpam-5785	310	6	:	:	PUNCT
ejpam-5785	310	7	an	an	DET
ejpam-5785	310	8	international	international	ADJ
ejpam-5785	310	9	journal	journal	NOUN
ejpam-5785	310	10	on	on	ADP
ejpam-5785	310	11	numerical	numerical	ADJ
ejpam-5785	310	12	,	,	PUNCT
ejpam-5785	310	13	computation	computation	NOUN
ejpam-5785	310	14	and	and	CCONJ
ejpam-5785	310	15	applications	application	NOUN
ejpam-5785	310	16	,	,	PUNCT
ejpam-5785	310	17	3(2):91–103	3(2):91–103	NUM
ejpam-5785	310	18	,	,	PUNCT
ejpam-5785	310	19	2024	2024	NUM
ejpam-5785	310	20	.	.	PUNCT
ejpam-5785	311	1	[	[	X
ejpam-5785	311	2	29	29	NUM
ejpam-5785	311	3	]	]	X
ejpam-5785	311	4	muhammad	muhammad	PROPN
ejpam-5785	311	5	nazam	nazam	PROPN
ejpam-5785	311	6	,	,	PUNCT
ejpam-5785	311	7	muhammad	muhammad	PROPN
ejpam-5785	311	8	arshad	arshad	PROPN
ejpam-5785	311	9	,	,	PUNCT
ejpam-5785	311	10	and	and	CCONJ
ejpam-5785	311	11	mihai	mihai	PROPN
ejpam-5785	311	12	postolache	postolache	PROPN
ejpam-5785	311	13	.	.	PUNCT
ejpam-5785	312	1	coincidence	coincidence	NOUN
ejpam-5785	312	2	and	and	CCONJ
ejpam-5785	312	3	common	common	ADJ
ejpam-5785	312	4	fixed	fix	VERB
ejpam-5785	312	5	point	point	NOUN
ejpam-5785	312	6	theorems	theorem	NOUN
ejpam-5785	312	7	for	for	ADP
ejpam-5785	312	8	four	four	NUM
ejpam-5785	312	9	mappings	mapping	NOUN
ejpam-5785	312	10	satisfying	satisfy	VERB
ejpam-5785	312	11	(	(	PUNCT
ejpam-5785	312	12	alpha	alpha	NOUN
ejpam-5785	312	13	(	(	PUNCT
ejpam-5785	312	14	s	s	NOUN
ejpam-5785	312	15	)	)	PUNCT
ejpam-5785	312	16	,	,	PUNCT
ejpam-5785	312	17	f)-contraction	f)-contraction	PROPN
ejpam-5785	312	18	.	.	PUNCT
ejpam-5785	313	1	nonlinear	nonlinear	ADJ
ejpam-5785	313	2	analysis	analysis	NOUN
ejpam-5785	313	3	:	:	PUNCT
ejpam-5785	313	4	modelling	modelling	NOUN
ejpam-5785	313	5	and	and	CCONJ
ejpam-5785	313	6	control	control	NOUN
ejpam-5785	313	7	,	,	PUNCT
ejpam-5785	313	8	23(5):664–690	23(5):664–690	PROPN
ejpam-5785	313	9	,	,	PUNCT
ejpam-5785	313	10	2018	2018	NUM
ejpam-5785	313	11	.	.	PUNCT
ejpam-5785	314	1	[	[	X
ejpam-5785	314	2	30	30	NUM
ejpam-5785	314	3	]	]	X
ejpam-5785	314	4	raghad	raghad	VERB
ejpam-5785	314	5	i	i	PROPN
ejpam-5785	314	6	sabri	sabri	NOUN
ejpam-5785	314	7	and	and	CCONJ
ejpam-5785	314	8	buthainah	buthainah	PROPN
ejpam-5785	314	9	ahmed	ahmed	PROPN
ejpam-5785	314	10	.	.	PUNCT
ejpam-5785	315	1	best	good	ADJ
ejpam-5785	315	2	proximity	proximity	NOUN
ejpam-5785	315	3	point	point	NOUN
ejpam-5785	315	4	results	result	NOUN
ejpam-5785	315	5	for	for	ADP
ejpam-5785	315	6	generalization	generalization	NOUN
ejpam-5785	315	7	of	of	ADP
ejpam-5785	315	8	α̌	α̌	PROPN
ejpam-5785	315	9	,	,	PUNCT
ejpam-5785	315	10	η̌	η̌	PUNCT
ejpam-5785	315	11	proximal	proximal	ADJ
ejpam-5785	315	12	contractive	contractive	ADJ
ejpam-5785	315	13	mapping	mapping	NOUN
ejpam-5785	315	14	in	in	ADP
ejpam-5785	315	15	fuzzy	fuzzy	ADJ
ejpam-5785	315	16	banach	banach	NOUN
ejpam-5785	315	17	spaces	space	NOUN
ejpam-5785	315	18	.	.	PUNCT
ejpam-5785	316	1	indonesian	indonesian	ADJ
ejpam-5785	316	2	journal	journal	PROPN
ejpam-5785	316	3	of	of	ADP
ejpam-5785	316	4	electrical	electrical	ADJ
ejpam-5785	316	5	engineering	engineering	NOUN
ejpam-5785	316	6	and	and	CCONJ
ejpam-5785	316	7	computer	computer	NOUN
ejpam-5785	316	8	science	science	NOUN
ejpam-5785	316	9	,	,	PUNCT
ejpam-5785	316	10	28:1451–1462	28:1451–1462	NUM
ejpam-5785	316	11	,	,	PUNCT
ejpam-5785	316	12	12	12	NUM
ejpam-5785	316	13	2022	2022	NUM
ejpam-5785	316	14	.	.	PUNCT
ejpam-5785	317	1	[	[	X
ejpam-5785	317	2	31	31	NUM
ejpam-5785	317	3	]	]	PUNCT
ejpam-5785	317	4	raghad	raghad	VERB
ejpam-5785	317	5	i	i	PROPN
ejpam-5785	317	6	sabri	sabri	NOUN
ejpam-5785	317	7	and	and	CCONJ
ejpam-5785	317	8	buthainah	buthainah	PROPN
ejpam-5785	317	9	aa	aa	PROPN
ejpam-5785	317	10	ahmed	ahmed	PROPN
ejpam-5785	317	11	.	.	PUNCT
ejpam-5785	318	1	best	good	ADJ
ejpam-5785	318	2	proximity	proximity	NOUN
ejpam-5785	318	3	point	point	NOUN
ejpam-5785	318	4	theorem	theorem	NOUN
ejpam-5785	318	5	for	for	ADP
ejpam-5785	318	6	α̃-ψ̃-contractive	α̃-ψ̃-contractive	NOUN
ejpam-5785	318	7	type	type	NOUN
ejpam-5785	318	8	mapping	mapping	NOUN
ejpam-5785	318	9	in	in	ADP
ejpam-5785	318	10	fuzzy	fuzzy	ADJ
ejpam-5785	318	11	normed	normed	ADJ
ejpam-5785	318	12	space	space	NOUN
ejpam-5785	318	13	.	.	PUNCT
ejpam-5785	319	1	baghdad	baghdad	PROPN
ejpam-5785	319	2	science	science	PROPN
ejpam-5785	319	3	journal	journal	PROPN
ejpam-5785	319	4	,	,	PUNCT
ejpam-5785	319	5	20(5):1722–1722	20(5):1722–1722	PROPN
ejpam-5785	319	6	,	,	PUNCT
ejpam-5785	319	7	2023	2023	NUM
ejpam-5785	319	8	.	.	PUNCT
ejpam-5785	320	1	[	[	X
ejpam-5785	320	2	32	32	NUM
ejpam-5785	320	3	]	]	PUNCT
ejpam-5785	320	4	raghad	raghad	VERB
ejpam-5785	320	5	ibrahaim	ibrahaim	NOUN
ejpam-5785	320	6	sabri	sabri	NOUN
ejpam-5785	320	7	and	and	CCONJ
ejpam-5785	320	8	buthainah	buthainah	PROPN
ejpam-5785	320	9	abd	abd	PROPN
ejpam-5785	320	10	al	al	PROPN
ejpam-5785	320	11	hassan	hassan	PROPN
ejpam-5785	320	12	ahmed	ahmed	PROPN
ejpam-5785	320	13	.	.	PUNCT
ejpam-5785	321	1	best	good	ADJ
ejpam-5785	321	2	proximity	proximity	NOUN
ejpam-5785	321	3	point	point	NOUN
ejpam-5785	321	4	results	result	NOUN
ejpam-5785	321	5	in	in	ADP
ejpam-5785	321	6	fuzzy	fuzzy	ADJ
ejpam-5785	321	7	normed	normed	ADJ
ejpam-5785	321	8	spaces	space	NOUN
ejpam-5785	321	9	.	.	PUNCT
ejpam-5785	322	1	science	science	NOUN
ejpam-5785	322	2	and	and	CCONJ
ejpam-5785	322	3	technology	technology	PROPN
ejpam-5785	322	4	indonesia	indonesia	PROPN
ejpam-5785	322	5	,	,	PUNCT
ejpam-5785	322	6	8(2):298–304	8(2):298–304	NUM
ejpam-5785	322	7	,	,	PUNCT
ejpam-5785	322	8	2023	2023	NUM
ejpam-5785	322	9	.	.	PUNCT
ejpam-5785	323	1	[	[	X
ejpam-5785	323	2	33	33	NUM
ejpam-5785	323	3	]	]	PUNCT
ejpam-5785	323	4	n	n	X
ejpam-5785	323	5	saleem	saleem	NOUN
ejpam-5785	323	6	,	,	PUNCT
ejpam-5785	323	7	m	m	NOUN
ejpam-5785	323	8	abbas	abbas	NOUN
ejpam-5785	323	9	,	,	PUNCT
ejpam-5785	323	10	and	and	CCONJ
ejpam-5785	323	11	k	k	PROPN
ejpam-5785	323	12	sohail	sohail	PROPN
ejpam-5785	323	13	.	.	PUNCT
ejpam-5785	324	1	approximate	approximate	ADJ
ejpam-5785	324	2	fixed	fix	VERB
ejpam-5785	324	3	point	point	NOUN
ejpam-5785	324	4	results	result	NOUN
ejpam-5785	324	5	for	for	ADP
ejpam-5785	324	6	(	(	PUNCT
ejpam-5785	324	7	α	α	NOUN
ejpam-5785	324	8	-	-	PUNCT
ejpam-5785	324	9	η)-type	η)-type	PUNCT
ejpam-5785	324	10	and	and	CCONJ
ejpam-5785	324	11	(	(	PUNCT
ejpam-5785	324	12	β	β	X
ejpam-5785	324	13	-	-	ADJ
ejpam-5785	324	14	ψ)-type	ψ)-type	ADJ
ejpam-5785	324	15	fuzzy	fuzzy	ADJ
ejpam-5785	324	16	contractive	contractive	ADJ
ejpam-5785	324	17	mappings	mapping	NOUN
ejpam-5785	324	18	in	in	ADP
ejpam-5785	324	19	b	b	NOUN
ejpam-5785	324	20	-	-	PUNCT
ejpam-5785	324	21	fuzzy	fuzzy	ADJ
ejpam-5785	324	22	metric	metric	ADJ
ejpam-5785	324	23	spaces	space	NOUN
ejpam-5785	324	24	.	.	PUNCT
ejpam-5785	325	1	malaysian	malaysian	PROPN
ejpam-5785	325	2	journal	journal	PROPN
ejpam-5785	325	3	a.	a.	PROPN
ejpam-5785	325	4	bataihah	bataihah	PROPN
ejpam-5785	325	5	,	,	PUNCT
ejpam-5785	325	6	a.	a.	NOUN
ejpam-5785	325	7	hazaymeh	hazaymeh	NOUN
ejpam-5785	325	8	/	/	SYM
ejpam-5785	325	9	eur	eur	PROPN
ejpam-5785	325	10	.	.	PUNCT
ejpam-5785	326	1	j.	j.	PROPN
ejpam-5785	326	2	pure	pure	PROPN
ejpam-5785	326	3	appl	appl	PROPN
ejpam-5785	326	4	.	.	PROPN
ejpam-5785	326	5	math	math	PROPN
ejpam-5785	326	6	,	,	PUNCT
ejpam-5785	326	7	18	18	NUM
ejpam-5785	326	8	(	(	PUNCT
ejpam-5785	326	9	1	1	NUM
ejpam-5785	326	10	)	)	PUNCT
ejpam-5785	326	11	(	(	PUNCT
ejpam-5785	326	12	2025	2025	NUM
ejpam-5785	326	13	)	)	PUNCT
ejpam-5785	326	14	,	,	PUNCT
ejpam-5785	326	15	5785	5785	NUM
ejpam-5785	326	16	15	15	NUM
ejpam-5785	326	17	of	of	ADP
ejpam-5785	326	18	15	15	NUM
ejpam-5785	326	19	of	of	ADP
ejpam-5785	326	20	mathematical	mathematical	ADJ
ejpam-5785	326	21	sciences	science	NOUN
ejpam-5785	326	22	,	,	PUNCT
ejpam-5785	326	23	15(2	15(2	NUM
ejpam-5785	326	24	)	)	PUNCT
ejpam-5785	326	25	,	,	PUNCT
ejpam-5785	326	26	2021	2021	NUM
ejpam-5785	326	27	.	.	PUNCT
ejpam-5785	327	1	[	[	X
ejpam-5785	327	2	34	34	NUM
ejpam-5785	327	3	]	]	PUNCT
ejpam-5785	327	4	wasfi	wasfi	NOUN
ejpam-5785	327	5	shatanawi	shatanawi	ADJ
ejpam-5785	327	6	and	and	CCONJ
ejpam-5785	327	7	anwar	anwar	PROPN
ejpam-5785	327	8	bataihah	bataihah	PROPN
ejpam-5785	327	9	.	.	PUNCT
ejpam-5785	328	1	remarks	remark	NOUN
ejpam-5785	328	2	on	on	ADP
ejpam-5785	328	3	g	g	NOUN
ejpam-5785	328	4	-	-	PUNCT
ejpam-5785	328	5	metric	metric	ADJ
ejpam-5785	328	6	spaces	space	NOUN
ejpam-5785	328	7	and	and	CCONJ
ejpam-5785	328	8	related	relate	VERB
ejpam-5785	328	9	fixed	fix	VERB
ejpam-5785	328	10	point	point	NOUN
ejpam-5785	328	11	theorems	theorem	NOUN
ejpam-5785	328	12	.	.	PROPN
ejpam-5785	328	13	thai	thai	PROPN
ejpam-5785	328	14	journal	journal	PROPN
ejpam-5785	328	15	of	of	ADP
ejpam-5785	328	16	mathematics	mathematic	NOUN
ejpam-5785	328	17	,	,	PUNCT
ejpam-5785	328	18	19(2):445–455	19(2):445–455	NUM
ejpam-5785	328	19	,	,	PUNCT
ejpam-5785	328	20	2021	2021	NUM
ejpam-5785	328	21	.	.	PUNCT
ejpam-5785	329	1	[	[	X
ejpam-5785	329	2	35	35	NUM
ejpam-5785	329	3	]	]	PUNCT
ejpam-5785	329	4	wasfi	wasfi	NOUN
ejpam-5785	329	5	shatanawi	shatanawi	PROPN
ejpam-5785	329	6	,	,	PUNCT
ejpam-5785	329	7	georgeta	georgeta	PROPN
ejpam-5785	329	8	maniu	maniu	PROPN
ejpam-5785	329	9	,	,	PUNCT
ejpam-5785	329	10	anwar	anwar	PROPN
ejpam-5785	329	11	bataihah	bataihah	PROPN
ejpam-5785	329	12	,	,	PUNCT
ejpam-5785	329	13	and	and	CCONJ
ejpam-5785	329	14	f	f	PROPN
ejpam-5785	329	15	bani	bani	PROPN
ejpam-5785	329	16	ahmad	ahmad	PROPN
ejpam-5785	329	17	.	.	PUNCT
ejpam-5785	330	1	common	common	ADJ
ejpam-5785	330	2	fixed	fix	VERB
ejpam-5785	330	3	points	point	NOUN
ejpam-5785	330	4	for	for	ADP
ejpam-5785	330	5	mappings	mapping	NOUN
ejpam-5785	330	6	of	of	ADP
ejpam-5785	330	7	cyclic	cyclic	ADJ
ejpam-5785	330	8	form	form	NOUN
ejpam-5785	330	9	satisfying	satisfy	VERB
ejpam-5785	330	10	linear	linear	PROPN
ejpam-5785	330	11	contractive	contractive	ADJ
ejpam-5785	330	12	conditions	condition	NOUN
ejpam-5785	330	13	with	with	ADP
ejpam-5785	330	14	omega	omega	NOUN
ejpam-5785	330	15	-	-	PUNCT
ejpam-5785	330	16	distance	distance	NOUN
ejpam-5785	330	17	.	.	PUNCT
ejpam-5785	331	1	upb	upb	PROPN
ejpam-5785	331	2	sci	sci	PROPN
ejpam-5785	331	3	.	.	PROPN
ejpam-5785	331	4	,	,	PUNCT
ejpam-5785	331	5	series	series	PROPN
ejpam-5785	331	6	a	a	PRON
ejpam-5785	331	7	,	,	PUNCT
ejpam-5785	331	8	79:11–20	79:11–20	NUM
ejpam-5785	331	9	,	,	PUNCT
ejpam-5785	331	10	2017	2017	NUM
ejpam-5785	331	11	.	.	PUNCT
ejpam-5785	332	1	[	[	X
ejpam-5785	332	2	36	36	NUM
ejpam-5785	332	3	]	]	PUNCT
ejpam-5785	332	4	wasfi	wasfi	NOUN
ejpam-5785	332	5	shatanawi	shatanawi	PROPN
ejpam-5785	332	6	,	,	PUNCT
ejpam-5785	332	7	tariq	tariq	NOUN
ejpam-5785	332	8	qawasmeh	qawasmeh	NOUN
ejpam-5785	332	9	,	,	PUNCT
ejpam-5785	332	10	anwar	anwar	PROPN
ejpam-5785	332	11	bataihah	bataihah	PROPN
ejpam-5785	332	12	,	,	PUNCT
ejpam-5785	332	13	and	and	CCONJ
ejpam-5785	332	14	abdalla	abdalla	PROPN
ejpam-5785	332	15	tallafha	tallafha	NOUN
ejpam-5785	332	16	.	.	PUNCT
ejpam-5785	333	1	new	new	ADJ
ejpam-5785	333	2	contractions	contraction	NOUN
ejpam-5785	333	3	and	and	CCONJ
ejpam-5785	333	4	some	some	DET
ejpam-5785	333	5	fixed	fix	VERB
ejpam-5785	333	6	point	point	NOUN
ejpam-5785	333	7	results	result	NOUN
ejpam-5785	333	8	with	with	ADP
ejpam-5785	333	9	application	application	NOUN
ejpam-5785	333	10	based	base	VERB
ejpam-5785	333	11	on	on	ADP
ejpam-5785	333	12	extended	extended	ADJ
ejpam-5785	333	13	quasi	quasi	ADJ
ejpam-5785	333	14	b	b	NOUN
ejpam-5785	333	15	-	-	PUNCT
ejpam-5785	333	16	metric	metric	ADJ
ejpam-5785	333	17	space	space	NOUN
ejpam-5785	333	18	.	.	PUNCT
ejpam-5785	334	1	upb	upb	ADJ
ejpam-5785	334	2	scientific	scientific	ADJ
ejpam-5785	334	3	bulletin	bulletin	NOUN
ejpam-5785	334	4	,	,	PUNCT
ejpam-5785	334	5	series	series	PROPN
ejpam-5785	334	6	a	a	PRON
ejpam-5785	334	7	:	:	PUNCT
ejpam-5785	334	8	applied	apply	VERB
ejpam-5785	334	9	mathematics	mathematic	NOUN
ejpam-5785	334	10	and	and	CCONJ
ejpam-5785	334	11	physics	physics	NOUN
ejpam-5785	334	12	,	,	PUNCT
ejpam-5785	334	13	83(2):39–48	83(2):39–48	NUM
ejpam-5785	334	14	,	,	PUNCT
ejpam-5785	334	15	2021	2021	NUM
ejpam-5785	334	16	.	.	PUNCT
ejpam-5785	335	1	[	[	X
ejpam-5785	335	2	37	37	NUM
ejpam-5785	335	3	]	]	X
ejpam-5785	335	4	f	f	PROPN
ejpam-5785	335	5	smarandache	smarandache	PROPN
ejpam-5785	335	6	.	.	PUNCT
ejpam-5785	336	1	a	a	DET
ejpam-5785	336	2	unifying	unifying	ADJ
ejpam-5785	336	3	field	field	NOUN
ejpam-5785	336	4	in	in	ADP
ejpam-5785	336	5	logics	logic	NOUN
ejpam-5785	336	6	,	,	PUNCT
ejpam-5785	336	7	neutrosophy	neutrosophy	NOUN
ejpam-5785	336	8	:	:	PUNCT
ejpam-5785	336	9	neutrosophic	neutrosophic	ADJ
ejpam-5785	336	10	probability	probability	NOUN
ejpam-5785	336	11	,	,	PUNCT
ejpam-5785	336	12	set	set	NOUN
ejpam-5785	336	13	and	and	CCONJ
ejpam-5785	336	14	logic	logic	NOUN
ejpam-5785	336	15	,	,	PUNCT
ejpam-5785	336	16	1999	1999	NUM
ejpam-5785	336	17	.	.	PUNCT
ejpam-5785	337	1	[	[	X
ejpam-5785	337	2	38	38	NUM
ejpam-5785	337	3	]	]	X
ejpam-5785	337	4	i	i	PRON
ejpam-5785	337	5	burhan	burhan	PROPN
ejpam-5785	337	6	turksen	turksen	PROPN
ejpam-5785	337	7	.	.	PUNCT
ejpam-5785	338	1	interval	interval	NOUN
ejpam-5785	338	2	valued	value	VERB
ejpam-5785	338	3	fuzzy	fuzzy	ADJ
ejpam-5785	338	4	sets	set	NOUN
ejpam-5785	338	5	based	base	VERB
ejpam-5785	338	6	on	on	ADP
ejpam-5785	338	7	normal	normal	ADJ
ejpam-5785	338	8	forms	form	NOUN
ejpam-5785	338	9	.	.	PUNCT
ejpam-5785	339	1	fuzzy	fuzzy	ADJ
ejpam-5785	339	2	sets	set	NOUN
ejpam-5785	339	3	and	and	CCONJ
ejpam-5785	339	4	systems	system	NOUN
ejpam-5785	339	5	,	,	PUNCT
ejpam-5785	339	6	20(2):191–210	20(2):191–210	PROPN
ejpam-5785	339	7	,	,	PUNCT
ejpam-5785	339	8	1986	1986	NUM
ejpam-5785	339	9	.	.	PUNCT
ejpam-5785	340	1	[	[	X
ejpam-5785	340	2	39	39	NUM
ejpam-5785	340	3	]	]	PUNCT
ejpam-5785	340	4	lofti	lofti	NOUN
ejpam-5785	340	5	a	a	DET
ejpam-5785	340	6	zadeh	zadeh	PROPN
ejpam-5785	340	7	.	.	PUNCT
ejpam-5785	340	8	fuzzy	fuzzy	ADJ
ejpam-5785	340	9	sets	set	NOUN
ejpam-5785	340	10	:	:	PUNCT
ejpam-5785	340	11	fuzzy	fuzzy	ADJ
ejpam-5785	340	12	sets	set	NOUN
ejpam-5785	340	13	.	.	PUNCT
ejpam-5785	341	1	fuzzy	fuzzy	ADJ
ejpam-5785	341	2	logic	logic	NOUN
ejpam-5785	341	3	,	,	PUNCT
ejpam-5785	341	4	&	&	CCONJ
ejpam-5785	341	5	fuzzy	fuzzy	ADJ
ejpam-5785	341	6	systems	system	NOUN
ejpam-5785	341	7	,	,	PUNCT
ejpam-5785	341	8	1996	1996	NUM
ejpam-5785	341	9	.	.	PUNCT