id	sid	tid	token	lemma	pos
ejpam-6475	1	1	european	european	PROPN
ejpam-6475	1	2	journal	journal	PROPN
ejpam-6475	1	3	of	of	ADP
ejpam-6475	1	4	pure	pure	ADJ
ejpam-6475	1	5	and	and	CCONJ
ejpam-6475	1	6	applied	applied	ADJ
ejpam-6475	1	7	mathematics	mathematic	NOUN
ejpam-6475	1	8	2025	2025	NUM
ejpam-6475	1	9	,	,	PUNCT
ejpam-6475	1	10	vol	vol	NOUN
ejpam-6475	1	11	.	.	PROPN
ejpam-6475	1	12	18	18	NUM
ejpam-6475	1	13	,	,	PUNCT
ejpam-6475	1	14	issue	issue	NOUN
ejpam-6475	1	15	3	3	NUM
ejpam-6475	1	16	,	,	PUNCT
ejpam-6475	1	17	article	article	NOUN
ejpam-6475	1	18	number	number	NOUN
ejpam-6475	1	19	6475	6475	NUM
ejpam-6475	1	20	issn	issn	PROPN
ejpam-6475	1	21	1307	1307	NUM
ejpam-6475	1	22	-	-	SYM
ejpam-6475	1	23	5543	5543	NUM
ejpam-6475	1	24	–	–	PUNCT
ejpam-6475	1	25	ejpam.com	ejpam.com	X
ejpam-6475	1	26	published	publish	VERB
ejpam-6475	1	27	by	by	ADP
ejpam-6475	1	28	new	new	PROPN
ejpam-6475	1	29	york	york	PROPN
ejpam-6475	1	30	business	business	PROPN
ejpam-6475	1	31	global	global	ADJ
ejpam-6475	1	32	enhanced	enhance	VERB
ejpam-6475	1	33	uncertainty	uncertainty	NOUN
ejpam-6475	1	34	modeling	model	VERB
ejpam-6475	1	35	through	through	ADP
ejpam-6475	1	36	neutrosophic	neutrosophic	ADJ
ejpam-6475	1	37	mr	mr	PROPN
ejpam-6475	1	38	-	-	PUNCT
ejpam-6475	1	39	metrics	metric	NOUN
ejpam-6475	1	40	:	:	PUNCT
ejpam-6475	1	41	a	a	DET
ejpam-6475	1	42	unified	unified	ADJ
ejpam-6475	1	43	framework	framework	NOUN
ejpam-6475	1	44	with	with	ADP
ejpam-6475	1	45	fuzzy	fuzzy	ADJ
ejpam-6475	1	46	embedding	embedding	NOUN
ejpam-6475	1	47	and	and	CCONJ
ejpam-6475	1	48	contraction	contraction	NOUN
ejpam-6475	1	49	principles	principle	NOUN
ejpam-6475	1	50	abed	abe	VERB
ejpam-6475	1	51	al	al	PROPN
ejpam-6475	1	52	-	-	PUNCT
ejpam-6475	1	53	rahman	rahman	PROPN
ejpam-6475	1	54	m.	m.	NOUN
ejpam-6475	1	55	malkawi	malkawi	ADP
ejpam-6475	1	56	department	department	PROPN
ejpam-6475	1	57	of	of	ADP
ejpam-6475	1	58	mathematics	mathematic	NOUN
ejpam-6475	1	59	,	,	PUNCT
ejpam-6475	1	60	faculty	faculty	NOUN
ejpam-6475	1	61	of	of	ADP
ejpam-6475	1	62	arts	art	NOUN
ejpam-6475	1	63	and	and	CCONJ
ejpam-6475	1	64	science	science	NOUN
ejpam-6475	1	65	,	,	PUNCT
ejpam-6475	1	66	amman	amman	PROPN
ejpam-6475	1	67	arab	arab	PROPN
ejpam-6475	1	68	university	university	PROPN
ejpam-6475	1	69	,	,	PUNCT
ejpam-6475	1	70	amman	amman	PROPN
ejpam-6475	1	71	11953	11953	NUM
ejpam-6475	1	72	,	,	PUNCT
ejpam-6475	1	73	jordan	jordan	PROPN
ejpam-6475	1	74	abstract	abstract	PROPN
ejpam-6475	1	75	.	.	PUNCT
ejpam-6475	2	1	this	this	DET
ejpam-6475	2	2	paper	paper	NOUN
ejpam-6475	2	3	explores	explore	VERB
ejpam-6475	2	4	the	the	DET
ejpam-6475	2	5	fundamental	fundamental	ADJ
ejpam-6475	2	6	connections	connection	NOUN
ejpam-6475	2	7	between	between	ADP
ejpam-6475	2	8	neutrosophic	neutrosophic	ADJ
ejpam-6475	2	9	mr	mr	PROPN
ejpam-6475	2	10	-	-	PUNCT
ejpam-6475	2	11	metric	metric	ADJ
ejpam-6475	2	12	spaces	space	NOUN
ejpam-6475	2	13	(	(	PUNCT
ejpam-6475	2	14	nmr	nmr	NOUN
ejpam-6475	2	15	-	-	PUNCT
ejpam-6475	2	16	ms	ms	NOUN
ejpam-6475	2	17	)	)	PUNCT
ejpam-6475	2	18	and	and	CCONJ
ejpam-6475	2	19	classical	classical	ADJ
ejpam-6475	2	20	fuzzy	fuzzy	ADJ
ejpam-6475	2	21	metric	metric	ADJ
ejpam-6475	2	22	spaces	space	NOUN
ejpam-6475	2	23	(	(	PUNCT
ejpam-6475	2	24	fms	fms	PROPN
ejpam-6475	2	25	)	)	PUNCT
ejpam-6475	2	26	.	.	PUNCT
ejpam-6475	3	1	we	we	PRON
ejpam-6475	3	2	present	present	VERB
ejpam-6475	3	3	three	three	NUM
ejpam-6475	3	4	key	key	ADJ
ejpam-6475	3	5	theoretical	theoretical	ADJ
ejpam-6475	3	6	contributions	contribution	NOUN
ejpam-6475	3	7	:	:	PUNCT
ejpam-6475	3	8	(	(	PUNCT
ejpam-6475	3	9	1	1	X
ejpam-6475	3	10	)	)	PUNCT
ejpam-6475	3	11	an	an	DET
ejpam-6475	3	12	embedding	embed	VERB
ejpam-6475	3	13	theorem	theorem	NOUN
ejpam-6475	3	14	showing	show	VERB
ejpam-6475	3	15	how	how	SCONJ
ejpam-6475	3	16	any	any	DET
ejpam-6475	3	17	fms	fms	PROPN
ejpam-6475	3	18	can	can	AUX
ejpam-6475	3	19	be	be	AUX
ejpam-6475	3	20	systematically	systematically	ADV
ejpam-6475	3	21	incorporated	incorporate	VERB
ejpam-6475	3	22	into	into	ADP
ejpam-6475	3	23	an	an	DET
ejpam-6475	3	24	nmr	nmr	NOUN
ejpam-6475	3	25	-	-	PUNCT
ejpam-6475	3	26	ms	ms	NOUN
ejpam-6475	3	27	framework	framework	NOUN
ejpam-6475	3	28	,	,	PUNCT
ejpam-6475	3	29	(	(	PUNCT
ejpam-6475	3	30	2	2	X
ejpam-6475	3	31	)	)	PUNCT
ejpam-6475	3	32	a	a	DET
ejpam-6475	3	33	fixed	fix	VERB
ejpam-6475	3	34	point	point	NOUN
ejpam-6475	3	35	theorem	theorem	NOUN
ejpam-6475	3	36	for	for	ADP
ejpam-6475	3	37	contraction	contraction	NOUN
ejpam-6475	3	38	mappings	mapping	NOUN
ejpam-6475	3	39	in	in	ADP
ejpam-6475	3	40	complete	complete	ADJ
ejpam-6475	3	41	nmrms	nmrm	NOUN
ejpam-6475	3	42	that	that	PRON
ejpam-6475	3	43	generalizes	generalize	VERB
ejpam-6475	3	44	the	the	DET
ejpam-6475	3	45	fuzzy	fuzzy	ADJ
ejpam-6475	3	46	banach	banach	NOUN
ejpam-6475	3	47	contraction	contraction	NOUN
ejpam-6475	3	48	principle	principle	NOUN
ejpam-6475	3	49	,	,	PUNCT
ejpam-6475	3	50	and	and	CCONJ
ejpam-6475	3	51	(	(	PUNCT
ejpam-6475	3	52	3	3	X
ejpam-6475	3	53	)	)	PUNCT
ejpam-6475	3	54	a	a	DET
ejpam-6475	3	55	characterization	characterization	NOUN
ejpam-6475	3	56	of	of	ADP
ejpam-6475	3	57	sequence	sequence	NOUN
ejpam-6475	3	58	convergence	convergence	NOUN
ejpam-6475	3	59	in	in	ADP
ejpam-6475	3	60	nmr	nmr	NOUN
ejpam-6475	3	61	-	-	PUNCT
ejpam-6475	3	62	ms	ms	NOUN
ejpam-6475	3	63	that	that	PRON
ejpam-6475	3	64	reveals	reveal	VERB
ejpam-6475	3	65	its	its	PRON
ejpam-6475	3	66	stricter	strict	ADJ
ejpam-6475	3	67	requirements	requirement	NOUN
ejpam-6475	3	68	compared	compare	VERB
ejpam-6475	3	69	to	to	ADP
ejpam-6475	3	70	fms	fms	PROPN
ejpam-6475	3	71	.	.	PUNCT
ejpam-6475	4	1	through	through	ADP
ejpam-6475	4	2	concrete	concrete	ADJ
ejpam-6475	4	3	examples	example	NOUN
ejpam-6475	4	4	and	and	CCONJ
ejpam-6475	4	5	applications	application	NOUN
ejpam-6475	4	6	in	in	ADP
ejpam-6475	4	7	machine	machine	NOUN
ejpam-6475	4	8	learning	learn	VERB
ejpam-6475	4	9	classification	classification	NOUN
ejpam-6475	4	10	,	,	PUNCT
ejpam-6475	4	11	robotic	robotic	ADJ
ejpam-6475	4	12	path	path	NOUN
ejpam-6475	4	13	planning	planning	NOUN
ejpam-6475	4	14	,	,	PUNCT
ejpam-6475	4	15	and	and	CCONJ
ejpam-6475	4	16	medical	medical	ADJ
ejpam-6475	4	17	image	image	NOUN
ejpam-6475	4	18	reconstruction	reconstruction	NOUN
ejpam-6475	4	19	,	,	PUNCT
ejpam-6475	4	20	we	we	PRON
ejpam-6475	4	21	demonstrate	demonstrate	VERB
ejpam-6475	4	22	how	how	SCONJ
ejpam-6475	4	23	the	the	DET
ejpam-6475	4	24	additional	additional	ADJ
ejpam-6475	4	25	structure	structure	NOUN
ejpam-6475	4	26	of	of	ADP
ejpam-6475	4	27	nmr	nmr	NOUN
ejpam-6475	4	28	-	-	PUNCT
ejpam-6475	4	29	ms	ms	NOUN
ejpam-6475	4	30	particularly	particularly	ADV
ejpam-6475	4	31	its	its	PRON
ejpam-6475	4	32	explicit	explicit	ADJ
ejpam-6475	4	33	handling	handling	NOUN
ejpam-6475	4	34	of	of	ADP
ejpam-6475	4	35	truth	truth	NOUN
ejpam-6475	4	36	(	(	PUNCT
ejpam-6475	4	37	t	t	NOUN
ejpam-6475	4	38	)	)	PUNCT
ejpam-6475	4	39	,	,	PUNCT
ejpam-6475	4	40	falsity	falsity	NOUN
ejpam-6475	4	41	(	(	PUNCT
ejpam-6475	4	42	f	f	NOUN
ejpam-6475	4	43	)	)	PUNCT
ejpam-6475	4	44	,	,	PUNCT
ejpam-6475	4	45	and	and	CCONJ
ejpam-6475	4	46	indeterminacy	indeterminacy	NOUN
ejpam-6475	4	47	(	(	PUNCT
ejpam-6475	4	48	i	i	NOUN
ejpam-6475	4	49	)	)	PUNCT
ejpam-6475	4	50	components	component	NOUN
ejpam-6475	4	51	offers	offer	VERB
ejpam-6475	4	52	enhanced	enhance	VERB
ejpam-6475	4	53	modeling	modeling	NOUN
ejpam-6475	4	54	capabilities	capability	NOUN
ejpam-6475	4	55	for	for	ADP
ejpam-6475	4	56	uncertain	uncertain	ADJ
ejpam-6475	4	57	systems	system	NOUN
ejpam-6475	4	58	.	.	PUNCT
ejpam-6475	5	1	the	the	DET
ejpam-6475	5	2	compatibility	compatibility	NOUN
ejpam-6475	5	3	conditions	condition	NOUN
ejpam-6475	5	4	between	between	ADP
ejpam-6475	5	5	the	the	DET
ejpam-6475	5	6	mr	mr	PROPN
ejpam-6475	5	7	-	-	PUNCT
ejpam-6475	5	8	metric	metric	ADJ
ejpam-6475	5	9	(	(	PUNCT
ejpam-6475	5	10	m	m	NOUN
ejpam-6475	5	11	)	)	PUNCT
ejpam-6475	5	12	and	and	CCONJ
ejpam-6475	5	13	neutrosophic	neutrosophic	ADJ
ejpam-6475	5	14	components	component	NOUN
ejpam-6475	5	15	are	be	AUX
ejpam-6475	5	16	shown	show	VERB
ejpam-6475	5	17	to	to	PART
ejpam-6475	5	18	be	be	AUX
ejpam-6475	5	19	crucial	crucial	ADJ
ejpam-6475	5	20	for	for	ADP
ejpam-6475	5	21	maintaining	maintain	VERB
ejpam-6475	5	22	theoretical	theoretical	ADJ
ejpam-6475	5	23	consistency	consistency	NOUN
ejpam-6475	5	24	while	while	SCONJ
ejpam-6475	5	25	enabling	enable	VERB
ejpam-6475	5	26	practical	practical	ADJ
ejpam-6475	5	27	applications	application	NOUN
ejpam-6475	5	28	.	.	PUNCT
ejpam-6475	6	1	2020	2020	NUM
ejpam-6475	6	2	mathematics	mathematic	NOUN
ejpam-6475	6	3	subject	subject	NOUN
ejpam-6475	6	4	classifications	classification	NOUN
ejpam-6475	6	5	:	:	PUNCT
ejpam-6475	6	6	54e70	54e70	NUM
ejpam-6475	6	7	,	,	PUNCT
ejpam-6475	6	8	47h10	47h10	NUM
ejpam-6475	6	9	,	,	PUNCT
ejpam-6475	6	10	68t37	68t37	NUM
ejpam-6475	6	11	,	,	PUNCT
ejpam-6475	6	12	92c55	92c55	NUM
ejpam-6475	6	13	key	key	ADJ
ejpam-6475	6	14	words	word	NOUN
ejpam-6475	6	15	and	and	CCONJ
ejpam-6475	6	16	phrases	phrase	NOUN
ejpam-6475	6	17	:	:	PUNCT
ejpam-6475	6	18	mr−metric	mr−metric	ADJ
ejpam-6475	6	19	fuzzy	fuzzy	ADJ
ejpam-6475	6	20	metric	metric	ADJ
ejpam-6475	6	21	spaces	space	NOUN
ejpam-6475	6	22	,	,	PUNCT
ejpam-6475	6	23	mr	mr	PROPN
ejpam-6475	6	24	-	-	PUNCT
ejpam-6475	6	25	metric	metric	ADJ
ejpam-6475	6	26	spaces	space	NOUN
ejpam-6475	6	27	,	,	PUNCT
ejpam-6475	6	28	neutrosophic	neutrosophic	ADJ
ejpam-6475	6	29	mr	mr	PROPN
ejpam-6475	6	30	-	-	PUNCT
ejpam-6475	6	31	metric	metric	ADJ
ejpam-6475	6	32	spaces	space	NOUN
ejpam-6475	6	33	1	1	NUM
ejpam-6475	6	34	.	.	PUNCT
ejpam-6475	7	1	introduction	introduction	NOUN
ejpam-6475	7	2	classical	classical	ADJ
ejpam-6475	7	3	metric	metric	ADJ
ejpam-6475	7	4	spaces	space	NOUN
ejpam-6475	7	5	provide	provide	VERB
ejpam-6475	7	6	a	a	DET
ejpam-6475	7	7	solid	solid	ADJ
ejpam-6475	7	8	foundation	foundation	NOUN
ejpam-6475	7	9	for	for	ADP
ejpam-6475	7	10	analyzing	analyze	VERB
ejpam-6475	7	11	deterministic	deterministic	ADJ
ejpam-6475	7	12	phenomena	phenomenon	NOUN
ejpam-6475	7	13	.	.	PUNCT
ejpam-6475	8	1	however	however	ADV
ejpam-6475	8	2	,	,	PUNCT
ejpam-6475	8	3	many	many	ADJ
ejpam-6475	8	4	modern	modern	ADJ
ejpam-6475	8	5	scientific	scientific	ADJ
ejpam-6475	8	6	and	and	CCONJ
ejpam-6475	8	7	engineering	engineering	NOUN
ejpam-6475	8	8	problems	problem	NOUN
ejpam-6475	8	9	involve	involve	VERB
ejpam-6475	8	10	imprecision	imprecision	NOUN
ejpam-6475	8	11	,	,	PUNCT
ejpam-6475	8	12	uncertainty	uncertainty	NOUN
ejpam-6475	8	13	,	,	PUNCT
ejpam-6475	8	14	and	and	CCONJ
ejpam-6475	8	15	incomplete	incomplete	ADJ
ejpam-6475	8	16	knowledge	knowledge	NOUN
ejpam-6475	8	17	.	.	PUNCT
ejpam-6475	9	1	to	to	PART
ejpam-6475	9	2	address	address	VERB
ejpam-6475	9	3	these	these	DET
ejpam-6475	9	4	challenges	challenge	NOUN
ejpam-6475	9	5	,	,	PUNCT
ejpam-6475	9	6	generalizations	generalization	NOUN
ejpam-6475	9	7	such	such	ADJ
ejpam-6475	9	8	as	as	ADP
ejpam-6475	9	9	fuzzy	fuzzy	ADJ
ejpam-6475	9	10	metric	metric	ADJ
ejpam-6475	9	11	spaces	space	NOUN
ejpam-6475	9	12	(	(	PUNCT
ejpam-6475	9	13	fms	fms	PROPN
ejpam-6475	9	14	)	)	PUNCT
ejpam-6475	9	15	and	and	CCONJ
ejpam-6475	9	16	mr	mr	PROPN
ejpam-6475	9	17	-	-	PUNCT
ejpam-6475	9	18	metric	metric	ADJ
ejpam-6475	9	19	spaces	space	NOUN
ejpam-6475	9	20	have	have	AUX
ejpam-6475	9	21	been	be	AUX
ejpam-6475	9	22	developed	develop	VERB
ejpam-6475	9	23	.	.	PUNCT
ejpam-6475	10	1	these	these	DET
ejpam-6475	10	2	frameworks	framework	NOUN
ejpam-6475	10	3	extend	extend	VERB
ejpam-6475	10	4	classical	classical	ADJ
ejpam-6475	10	5	concepts	concept	NOUN
ejpam-6475	10	6	by	by	ADP
ejpam-6475	10	7	incorporating	incorporate	VERB
ejpam-6475	10	8	more	more	ADV
ejpam-6475	10	9	flexible	flexible	ADJ
ejpam-6475	10	10	structures	structure	NOUN
ejpam-6475	10	11	suited	suit	VERB
ejpam-6475	10	12	for	for	ADP
ejpam-6475	10	13	modeling	model	VERB
ejpam-6475	10	14	non	non	ADJ
ejpam-6475	10	15	-	-	ADJ
ejpam-6475	10	16	deterministic	deterministic	ADJ
ejpam-6475	10	17	behavior	behavior	NOUN
ejpam-6475	10	18	,	,	PUNCT
ejpam-6475	10	19	see	see	VERB
ejpam-6475	10	20	(	(	PUNCT
ejpam-6475	10	21	[	[	X
ejpam-6475	10	22	1–17	1–17	NOUN
ejpam-6475	10	23	]	]	X
ejpam-6475	10	24	.	.	PUNCT
ejpam-6475	11	1	fuzzy	fuzzy	ADJ
ejpam-6475	11	2	metric	metric	ADJ
ejpam-6475	11	3	spaces	space	NOUN
ejpam-6475	11	4	,	,	PUNCT
ejpam-6475	11	5	introduced	introduce	VERB
ejpam-6475	11	6	by	by	ADP
ejpam-6475	11	7	kramosil	kramosil	NOUN
ejpam-6475	11	8	and	and	CCONJ
ejpam-6475	11	9	michalek	michalek	VERB
ejpam-6475	11	10	[	[	X
ejpam-6475	11	11	18	18	NUM
ejpam-6475	11	12	]	]	PUNCT
ejpam-6475	11	13	,	,	PUNCT
ejpam-6475	11	14	allow	allow	VERB
ejpam-6475	11	15	for	for	ADP
ejpam-6475	11	16	gradated	gradate	VERB
ejpam-6475	11	17	truth	truth	NOUN
ejpam-6475	11	18	values	value	NOUN
ejpam-6475	11	19	in	in	ADP
ejpam-6475	11	20	distance	distance	NOUN
ejpam-6475	11	21	functions	function	NOUN
ejpam-6475	11	22	.	.	PUNCT
ejpam-6475	12	1	mr	mr	PROPN
ejpam-6475	12	2	-	-	PUNCT
ejpam-6475	12	3	metric	metric	ADJ
ejpam-6475	12	4	spaces[19	spaces[19	NOUN
ejpam-6475	12	5	]	]	X
ejpam-6475	12	6	,	,	PUNCT
ejpam-6475	12	7	on	on	ADP
ejpam-6475	12	8	the	the	DET
ejpam-6475	12	9	other	other	ADJ
ejpam-6475	12	10	hand	hand	NOUN
ejpam-6475	12	11	,	,	PUNCT
ejpam-6475	12	12	introduce	introduce	VERB
ejpam-6475	12	13	a	a	DET
ejpam-6475	12	14	doi	doi	NOUN
ejpam-6475	12	15	:	:	PUNCT
ejpam-6475	12	16	https://doi.org/10.29020/nybg.ejpam.v18i3.6475	https://doi.org/10.29020/nybg.ejpam.v18i3.6475	ADJ
ejpam-6475	12	17	email	email	NOUN
ejpam-6475	12	18	addresses	address	NOUN
ejpam-6475	12	19	:	:	PUNCT
ejpam-6475	12	20	a.malkawi@aau.edu.jo	a.malkawi@aau.edu.jo	PROPN
ejpam-6475	12	21	and	and	CCONJ
ejpam-6475	12	22	math.malkawi@gmail.com	math.malkawi@gmail.com	X
ejpam-6475	12	23	(	(	PUNCT
ejpam-6475	12	24	a.	a.	NOUN
ejpam-6475	12	25	malkawi	malkawi	PROPN
ejpam-6475	12	26	)	)	PUNCT
ejpam-6475	12	27	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6475	12	28	1	1	NUM
ejpam-6475	12	29	copyright	copyright	NOUN
ejpam-6475	12	30	:	:	PUNCT
ejpam-6475	13	1	©	©	PROPN
ejpam-6475	13	2	2025	2025	NUM
ejpam-6475	13	3	the	the	DET
ejpam-6475	13	4	author(s	author(s	NOUN
ejpam-6475	13	5	)	)	PUNCT
ejpam-6475	13	6	.	.	PUNCT
ejpam-6475	14	1	(	(	PUNCT
ejpam-6475	14	2	cc	cc	NOUN
ejpam-6475	14	3	by	by	ADP
ejpam-6475	14	4	-	-	PUNCT
ejpam-6475	14	5	nc	nc	PROPN
ejpam-6475	14	6	4.0	4.0	NUM
ejpam-6475	14	7	)	)	PUNCT
ejpam-6475	14	8	a.	a.	NOUN
ejpam-6475	14	9	malkawi	malkawi	ADP
ejpam-6475	14	10	/	/	SYM
ejpam-6475	14	11	eur	eur	PROPN
ejpam-6475	14	12	.	.	PUNCT
ejpam-6475	15	1	j.	j.	PROPN
ejpam-6475	15	2	pure	pure	PROPN
ejpam-6475	15	3	appl	appl	PROPN
ejpam-6475	15	4	.	.	PROPN
ejpam-6475	15	5	math	math	PROPN
ejpam-6475	15	6	,	,	PUNCT
ejpam-6475	15	7	18	18	NUM
ejpam-6475	15	8	(	(	PUNCT
ejpam-6475	15	9	3	3	NUM
ejpam-6475	15	10	)	)	PUNCT
ejpam-6475	15	11	(	(	PUNCT
ejpam-6475	15	12	2025	2025	NUM
ejpam-6475	15	13	)	)	PUNCT
ejpam-6475	15	14	,	,	PUNCT
ejpam-6475	15	15	6475	6475	NUM
ejpam-6475	15	16	2	2	NUM
ejpam-6475	15	17	of	of	ADP
ejpam-6475	15	18	20	20	NUM
ejpam-6475	15	19	triadic	triadic	ADJ
ejpam-6475	15	20	metric	metric	ADJ
ejpam-6475	15	21	m	m	NOUN
ejpam-6475	15	22	:	:	PUNCT
ejpam-6475	15	23	x×x×x	x×x×x	PUNCT
ejpam-6475	15	24	→	→	PUNCT
ejpam-6475	16	1	[	[	X
ejpam-6475	16	2	0,∞	0,∞	NOUN
ejpam-6475	16	3	)	)	PUNCT
ejpam-6475	16	4	,	,	PUNCT
ejpam-6475	16	5	capable	capable	ADJ
ejpam-6475	16	6	of	of	ADP
ejpam-6475	16	7	capturing	capture	VERB
ejpam-6475	16	8	more	more	ADJ
ejpam-6475	16	9	complex	complex	ADJ
ejpam-6475	16	10	interrelations	interrelation	NOUN
ejpam-6475	16	11	among	among	ADP
ejpam-6475	16	12	triplets	triplet	NOUN
ejpam-6475	16	13	of	of	ADP
ejpam-6475	16	14	elements	element	NOUN
ejpam-6475	16	15	.	.	PUNCT
ejpam-6475	17	1	yet	yet	ADV
ejpam-6475	17	2	,	,	PUNCT
ejpam-6475	17	3	neither	neither	CCONJ
ejpam-6475	17	4	framework	framework	NOUN
ejpam-6475	17	5	alone	alone	ADV
ejpam-6475	17	6	fully	fully	ADV
ejpam-6475	17	7	captures	capture	VERB
ejpam-6475	17	8	the	the	DET
ejpam-6475	17	9	indeterminacy	indeterminacy	NOUN
ejpam-6475	17	10	often	often	ADV
ejpam-6475	17	11	observed	observe	VERB
ejpam-6475	17	12	in	in	ADP
ejpam-6475	17	13	real	real	ADJ
ejpam-6475	17	14	-	-	PUNCT
ejpam-6475	17	15	world	world	NOUN
ejpam-6475	17	16	applications	application	NOUN
ejpam-6475	17	17	such	such	ADJ
ejpam-6475	17	18	as	as	ADP
ejpam-6475	17	19	machine	machine	NOUN
ejpam-6475	17	20	learning	learning	NOUN
ejpam-6475	17	21	,	,	PUNCT
ejpam-6475	17	22	control	control	NOUN
ejpam-6475	17	23	systems	system	NOUN
ejpam-6475	17	24	,	,	PUNCT
ejpam-6475	17	25	and	and	CCONJ
ejpam-6475	17	26	medical	medical	ADJ
ejpam-6475	17	27	imaging[20–28	imaging[20–28	PROPN
ejpam-6475	17	28	]	]	PUNCT
ejpam-6475	17	29	.	.	PUNCT
ejpam-6475	18	1	neutrosophic	neutrosophic	ADJ
ejpam-6475	18	2	logic	logic	NOUN
ejpam-6475	18	3	,	,	PUNCT
ejpam-6475	18	4	developed	develop	VERB
ejpam-6475	18	5	by	by	ADP
ejpam-6475	18	6	smarandache	smarandache	NOUN
ejpam-6475	18	7	,	,	PUNCT
ejpam-6475	18	8	complements	complement	VERB
ejpam-6475	18	9	these	these	DET
ejpam-6475	18	10	spaces	space	NOUN
ejpam-6475	18	11	by	by	ADP
ejpam-6475	18	12	introducing	introduce	VERB
ejpam-6475	18	13	three	three	NUM
ejpam-6475	18	14	membership	membership	NOUN
ejpam-6475	18	15	degrees	degree	NOUN
ejpam-6475	18	16	:	:	PUNCT
ejpam-6475	18	17	truth	truth	NOUN
ejpam-6475	18	18	(	(	PUNCT
ejpam-6475	18	19	t	t	NOUN
ejpam-6475	18	20	)	)	PUNCT
ejpam-6475	18	21	,	,	PUNCT
ejpam-6475	18	22	falsity	falsity	NOUN
ejpam-6475	18	23	(	(	PUNCT
ejpam-6475	18	24	f	f	PROPN
ejpam-6475	18	25	)	)	PUNCT
ejpam-6475	18	26	,	,	PUNCT
ejpam-6475	18	27	and	and	CCONJ
ejpam-6475	18	28	indeterminacy	indeterminacy	NOUN
ejpam-6475	18	29	(	(	PUNCT
ejpam-6475	18	30	i	i	NOUN
ejpam-6475	18	31	)	)	PUNCT
ejpam-6475	18	32	.	.	PUNCT
ejpam-6475	19	1	incorporating	incorporate	VERB
ejpam-6475	19	2	these	these	PRON
ejpam-6475	19	3	into	into	ADP
ejpam-6475	19	4	mr	mr	PROPN
ejpam-6475	19	5	-	-	PUNCT
ejpam-6475	19	6	metric	metric	ADJ
ejpam-6475	19	7	spaces	space	NOUN
ejpam-6475	19	8	yields	yield	VERB
ejpam-6475	19	9	a	a	DET
ejpam-6475	19	10	new	new	ADJ
ejpam-6475	19	11	framework	framework	NOUN
ejpam-6475	19	12	:	:	PUNCT
ejpam-6475	19	13	neutrosophic	neutrosophic	ADJ
ejpam-6475	19	14	mr	mr	PROPN
ejpam-6475	19	15	-	-	PUNCT
ejpam-6475	19	16	metric	metric	ADJ
ejpam-6475	19	17	spaces	space	NOUN
ejpam-6475	19	18	(	(	PUNCT
ejpam-6475	19	19	nmr	nmr	NOUN
ejpam-6475	19	20	-	-	PUNCT
ejpam-6475	19	21	ms)[29	ms)[29	NOUN
ejpam-6475	19	22	]	]	X
ejpam-6475	19	23	,	,	PUNCT
ejpam-6475	19	24	which	which	PRON
ejpam-6475	19	25	is	be	AUX
ejpam-6475	19	26	capable	capable	ADJ
ejpam-6475	19	27	of	of	ADP
ejpam-6475	19	28	more	more	ADV
ejpam-6475	19	29	expressively	expressively	ADV
ejpam-6475	19	30	modeling	model	VERB
ejpam-6475	19	31	uncertainty	uncertainty	NOUN
ejpam-6475	19	32	in	in	ADP
ejpam-6475	19	33	mathematical	mathematical	ADJ
ejpam-6475	19	34	and	and	CCONJ
ejpam-6475	19	35	applied	applied	ADJ
ejpam-6475	19	36	contexts	contexts	NOUN
ejpam-6475	19	37	.	.	PUNCT
ejpam-6475	20	1	this	this	DET
ejpam-6475	20	2	paper	paper	NOUN
ejpam-6475	20	3	introduces	introduce	NOUN
ejpam-6475	20	4	and	and	CCONJ
ejpam-6475	20	5	analyzes	analyze	VERB
ejpam-6475	20	6	the	the	DET
ejpam-6475	20	7	structure	structure	NOUN
ejpam-6475	20	8	of	of	ADP
ejpam-6475	20	9	nmr	nmr	NOUN
ejpam-6475	20	10	-	-	PUNCT
ejpam-6475	20	11	ms	ms	NOUN
ejpam-6475	20	12	,	,	PUNCT
ejpam-6475	20	13	aiming	aim	VERB
ejpam-6475	20	14	to	to	PART
ejpam-6475	20	15	achieve	achieve	VERB
ejpam-6475	20	16	the	the	DET
ejpam-6475	20	17	following	following	ADJ
ejpam-6475	20	18	contributions	contribution	NOUN
ejpam-6475	20	19	:	:	PUNCT
ejpam-6475	20	20	(	(	PUNCT
ejpam-6475	20	21	i	i	NOUN
ejpam-6475	20	22	)	)	PUNCT
ejpam-6475	20	23	we	we	PRON
ejpam-6475	20	24	establish	establish	VERB
ejpam-6475	20	25	an	an	DET
ejpam-6475	20	26	embedding	embed	VERB
ejpam-6475	20	27	theorem	theorem	NOUN
ejpam-6475	20	28	,	,	PUNCT
ejpam-6475	20	29	showing	show	VERB
ejpam-6475	20	30	that	that	SCONJ
ejpam-6475	20	31	any	any	DET
ejpam-6475	20	32	fuzzy	fuzzy	ADJ
ejpam-6475	20	33	metric	metric	ADJ
ejpam-6475	20	34	space	space	NOUN
ejpam-6475	20	35	can	can	AUX
ejpam-6475	20	36	be	be	AUX
ejpam-6475	20	37	systematically	systematically	ADV
ejpam-6475	20	38	represented	represent	VERB
ejpam-6475	20	39	within	within	ADP
ejpam-6475	20	40	an	an	DET
ejpam-6475	20	41	nmr	nmr	NOUN
ejpam-6475	20	42	-	-	PUNCT
ejpam-6475	20	43	ms	ms	NOUN
ejpam-6475	20	44	framework	framework	NOUN
ejpam-6475	20	45	.	.	PUNCT
ejpam-6475	21	1	(	(	PUNCT
ejpam-6475	21	2	ii	ii	NOUN
ejpam-6475	21	3	)	)	PUNCT
ejpam-6475	21	4	we	we	PRON
ejpam-6475	21	5	prove	prove	VERB
ejpam-6475	21	6	a	a	DET
ejpam-6475	21	7	generalized	generalized	ADJ
ejpam-6475	21	8	fixed	fix	VERB
ejpam-6475	21	9	point	point	NOUN
ejpam-6475	21	10	theorem	theorem	NOUN
ejpam-6475	21	11	for	for	ADP
ejpam-6475	21	12	contraction	contraction	NOUN
ejpam-6475	21	13	mappings	mapping	NOUN
ejpam-6475	21	14	in	in	ADP
ejpam-6475	21	15	complete	complete	ADJ
ejpam-6475	21	16	nmr	nmr	NOUN
ejpam-6475	21	17	-	-	PUNCT
ejpam-6475	21	18	ms	ms	NOUN
ejpam-6475	21	19	,	,	PUNCT
ejpam-6475	21	20	extending	extend	VERB
ejpam-6475	21	21	the	the	DET
ejpam-6475	21	22	classical	classical	ADJ
ejpam-6475	21	23	banach	banach	NOUN
ejpam-6475	21	24	contraction	contraction	NOUN
ejpam-6475	21	25	principle	principle	NOUN
ejpam-6475	21	26	.	.	PUNCT
ejpam-6475	22	1	(	(	PUNCT
ejpam-6475	22	2	iii	iii	X
ejpam-6475	22	3	)	)	PUNCT
ejpam-6475	22	4	we	we	PRON
ejpam-6475	22	5	provide	provide	VERB
ejpam-6475	22	6	a	a	DET
ejpam-6475	22	7	characterization	characterization	NOUN
ejpam-6475	22	8	of	of	ADP
ejpam-6475	22	9	convergence	convergence	NOUN
ejpam-6475	22	10	in	in	ADP
ejpam-6475	22	11	nmr	nmr	NOUN
ejpam-6475	22	12	-	-	PUNCT
ejpam-6475	22	13	ms	ms	NOUN
ejpam-6475	22	14	,	,	PUNCT
ejpam-6475	22	15	demonstrating	demonstrate	VERB
ejpam-6475	22	16	that	that	SCONJ
ejpam-6475	22	17	it	it	PRON
ejpam-6475	22	18	is	be	AUX
ejpam-6475	22	19	strictly	strictly	ADV
ejpam-6475	22	20	stronger	strong	ADJ
ejpam-6475	22	21	than	than	ADP
ejpam-6475	22	22	that	that	PRON
ejpam-6475	22	23	in	in	ADP
ejpam-6475	22	24	fms	fms	PROPN
ejpam-6475	22	25	due	due	ADP
ejpam-6475	22	26	to	to	ADP
ejpam-6475	22	27	the	the	DET
ejpam-6475	22	28	inclusion	inclusion	NOUN
ejpam-6475	22	29	of	of	ADP
ejpam-6475	22	30	f	f	PROPN
ejpam-6475	22	31	and	and	CCONJ
ejpam-6475	22	32	m	m	PROPN
ejpam-6475	22	33	components	component	NOUN
ejpam-6475	22	34	.	.	PUNCT
ejpam-6475	23	1	the	the	DET
ejpam-6475	23	2	theoretical	theoretical	ADJ
ejpam-6475	23	3	developments	development	NOUN
ejpam-6475	23	4	are	be	AUX
ejpam-6475	23	5	supported	support	VERB
ejpam-6475	23	6	by	by	ADP
ejpam-6475	23	7	illustrative	illustrative	ADJ
ejpam-6475	23	8	applications	application	NOUN
ejpam-6475	23	9	in	in	ADP
ejpam-6475	23	10	:	:	PUNCT
ejpam-6475	23	11	•	•	NOUN
ejpam-6475	23	12	automated	automate	VERB
ejpam-6475	23	13	classification	classification	NOUN
ejpam-6475	23	14	systems	system	NOUN
ejpam-6475	23	15	under	under	ADP
ejpam-6475	23	16	uncertainty	uncertainty	NOUN
ejpam-6475	23	17	,	,	PUNCT
ejpam-6475	23	18	•	•	NUM
ejpam-6475	23	19	robotic	robotic	ADJ
ejpam-6475	23	20	navigation	navigation	NOUN
ejpam-6475	23	21	in	in	ADP
ejpam-6475	23	22	noisy	noisy	ADJ
ejpam-6475	23	23	environments	environment	NOUN
ejpam-6475	23	24	,	,	PUNCT
ejpam-6475	23	25	•	•	NOUN
ejpam-6475	23	26	and	and	CCONJ
ejpam-6475	23	27	medical	medical	ADJ
ejpam-6475	23	28	image	image	NOUN
ejpam-6475	23	29	reconstruction	reconstruction	NOUN
ejpam-6475	23	30	with	with	ADP
ejpam-6475	23	31	incomplete	incomplete	ADJ
ejpam-6475	23	32	data	datum	NOUN
ejpam-6475	23	33	.	.	PUNCT
ejpam-6475	24	1	the	the	DET
ejpam-6475	24	2	remainder	remainder	NOUN
ejpam-6475	24	3	of	of	ADP
ejpam-6475	24	4	this	this	DET
ejpam-6475	24	5	paper	paper	NOUN
ejpam-6475	24	6	is	be	AUX
ejpam-6475	24	7	organized	organize	VERB
ejpam-6475	24	8	as	as	SCONJ
ejpam-6475	24	9	follows	follow	VERB
ejpam-6475	24	10	.	.	PUNCT
ejpam-6475	25	1	in	in	ADP
ejpam-6475	25	2	section	section	NOUN
ejpam-6475	25	3	theorems	theorem	NOUN
ejpam-6475	25	4	linking	link	VERB
ejpam-6475	25	5	nmr	nmr	NOUN
ejpam-6475	25	6	-	-	PUNCT
ejpam-6475	25	7	ms	ms	NOUN
ejpam-6475	25	8	and	and	CCONJ
ejpam-6475	25	9	fms	fms	PROPN
ejpam-6475	25	10	,	,	PUNCT
ejpam-6475	25	11	we	we	PRON
ejpam-6475	25	12	present	present	VERB
ejpam-6475	25	13	the	the	DET
ejpam-6475	25	14	foundational	foundational	ADJ
ejpam-6475	25	15	definitions	definition	NOUN
ejpam-6475	25	16	and	and	CCONJ
ejpam-6475	25	17	the	the	DET
ejpam-6475	25	18	embedding	embed	VERB
ejpam-6475	25	19	theorem	theorem	NOUN
ejpam-6475	25	20	.	.	PUNCT
ejpam-6475	26	1	finally	finally	ADV
ejpam-6475	26	2	,	,	PUNCT
ejpam-6475	26	3	section	section	NOUN
ejpam-6475	26	4	examples	example	NOUN
ejpam-6475	26	5	and	and	CCONJ
ejpam-6475	26	6	applications	application	NOUN
ejpam-6475	26	7	discusses	discuss	VERB
ejpam-6475	26	8	practical	practical	ADJ
ejpam-6475	26	9	applications	application	NOUN
ejpam-6475	26	10	with	with	ADP
ejpam-6475	26	11	concrete	concrete	ADJ
ejpam-6475	26	12	examples	example	NOUN
ejpam-6475	26	13	,	,	PUNCT
ejpam-6475	26	14	followed	follow	VERB
ejpam-6475	26	15	by	by	ADP
ejpam-6475	26	16	conclusions	conclusion	NOUN
ejpam-6475	26	17	and	and	CCONJ
ejpam-6475	26	18	suggestions	suggestion	NOUN
ejpam-6475	26	19	for	for	ADP
ejpam-6475	26	20	future	future	ADJ
ejpam-6475	26	21	work	work	NOUN
ejpam-6475	26	22	.	.	PUNCT
ejpam-6475	27	1	definition	definition	NOUN
ejpam-6475	27	2	1	1	NUM
ejpam-6475	27	3	(	(	PUNCT
ejpam-6475	27	4	fuzzy	fuzzy	ADJ
ejpam-6475	27	5	metric	metric	ADJ
ejpam-6475	27	6	space	space	NOUN
ejpam-6475	27	7	(	(	PUNCT
ejpam-6475	27	8	fms	fms	PROPN
ejpam-6475	27	9	)	)	PUNCT
ejpam-6475	28	1	[	[	X
ejpam-6475	28	2	18	18	NUM
ejpam-6475	28	3	,	,	PUNCT
ejpam-6475	28	4	30	30	NUM
ejpam-6475	28	5	]	]	PUNCT
ejpam-6475	28	6	)	)	PUNCT
ejpam-6475	28	7	.	.	PUNCT
ejpam-6475	29	1	a	a	PRON
ejpam-6475	29	2	3	3	NUM
ejpam-6475	29	3	-	-	PUNCT
ejpam-6475	29	4	tuple	tuple	NOUN
ejpam-6475	29	5	(	(	PUNCT
ejpam-6475	29	6	z	z	PROPN
ejpam-6475	29	7	,	,	PUNCT
ejpam-6475	29	8	t	t	PROPN
ejpam-6475	29	9	,	,	PUNCT
ejpam-6475	29	10	∗	∗	NOUN
ejpam-6475	29	11	)	)	PUNCT
ejpam-6475	29	12	is	be	AUX
ejpam-6475	29	13	a	a	DET
ejpam-6475	29	14	fuzzy	fuzzy	ADJ
ejpam-6475	29	15	metric	metric	ADJ
ejpam-6475	29	16	space	space	NOUN
ejpam-6475	29	17	if	if	SCONJ
ejpam-6475	29	18	:	:	PUNCT
ejpam-6475	29	19	•	•	NOUN
ejpam-6475	29	20	z	z	NOUN
ejpam-6475	29	21	is	be	AUX
ejpam-6475	29	22	a	a	DET
ejpam-6475	29	23	non	non	ADJ
ejpam-6475	29	24	-	-	ADJ
ejpam-6475	29	25	empty	empty	ADJ
ejpam-6475	29	26	set	set	NOUN
ejpam-6475	29	27	,	,	PUNCT
ejpam-6475	29	28	•	•	NUM
ejpam-6475	29	29	∗	∗	NOUN
ejpam-6475	29	30	is	be	AUX
ejpam-6475	29	31	a	a	DET
ejpam-6475	29	32	continuous	continuous	ADJ
ejpam-6475	29	33	t	t	NOUN
ejpam-6475	29	34	-	-	PUNCT
ejpam-6475	29	35	norm	norm	NOUN
ejpam-6475	29	36	,	,	PUNCT
ejpam-6475	29	37	•	•	NOUN
ejpam-6475	29	38	t	t	NOUN
ejpam-6475	29	39	:	:	PUNCT
ejpam-6475	29	40	z	z	NOUN
ejpam-6475	29	41	×	×	PROPN
ejpam-6475	29	42	z	z	NOUN
ejpam-6475	29	43	×	×	NOUN
ejpam-6475	29	44	(	(	PUNCT
ejpam-6475	29	45	0,∞	0,∞	NOUN
ejpam-6475	29	46	)	)	PUNCT
ejpam-6475	29	47	→	→	PUNCT
ejpam-6475	30	1	[	[	X
ejpam-6475	30	2	0	0	NUM
ejpam-6475	30	3	,	,	PUNCT
ejpam-6475	30	4	1	1	NUM
ejpam-6475	30	5	]	]	PUNCT
ejpam-6475	30	6	satisfies	satisfie	NOUN
ejpam-6475	30	7	:	:	PUNCT
ejpam-6475	30	8	(	(	PUNCT
ejpam-6475	30	9	i	i	NOUN
ejpam-6475	30	10	)	)	PUNCT
ejpam-6475	30	11	t	t	PROPN
ejpam-6475	30	12	(	(	PUNCT
ejpam-6475	30	13	υ	υ	PROPN
ejpam-6475	30	14	,	,	PUNCT
ejpam-6475	30	15	ξ	ξ	PROPN
ejpam-6475	30	16	,	,	PUNCT
ejpam-6475	30	17	γ	γ	NOUN
ejpam-6475	30	18	)	)	PUNCT
ejpam-6475	30	19	=	=	SYM
ejpam-6475	30	20	1	1	NUM
ejpam-6475	30	21	⇐	⇐	ADJ
ejpam-6475	30	22	⇒	⇒	NOUN
ejpam-6475	30	23	υ	υ	X
ejpam-6475	30	24	=	=	SYM
ejpam-6475	30	25	ξ	ξ	PROPN
ejpam-6475	30	26	,	,	PUNCT
ejpam-6475	30	27	(	(	PUNCT
ejpam-6475	30	28	ii	ii	NOUN
ejpam-6475	30	29	)	)	PUNCT
ejpam-6475	30	30	t	t	PROPN
ejpam-6475	30	31	(	(	PUNCT
ejpam-6475	30	32	υ	υ	PROPN
ejpam-6475	30	33	,	,	PUNCT
ejpam-6475	30	34	ξ	ξ	PROPN
ejpam-6475	30	35	,	,	PUNCT
ejpam-6475	30	36	γ	γ	NOUN
ejpam-6475	30	37	)	)	PUNCT
ejpam-6475	30	38	=	=	SYM
ejpam-6475	30	39	t	t	PROPN
ejpam-6475	30	40	(	(	PUNCT
ejpam-6475	30	41	ξ	ξ	PROPN
ejpam-6475	30	42	,	,	PUNCT
ejpam-6475	30	43	υ	υ	PROPN
ejpam-6475	30	44	,	,	PUNCT
ejpam-6475	30	45	γ	γ	NOUN
ejpam-6475	30	46	)	)	PUNCT
ejpam-6475	30	47	,	,	PUNCT
ejpam-6475	30	48	(	(	PUNCT
ejpam-6475	30	49	iii	iii	X
ejpam-6475	30	50	)	)	PUNCT
ejpam-6475	30	51	t	t	NOUN
ejpam-6475	30	52	(	(	PUNCT
ejpam-6475	30	53	υ	υ	PROPN
ejpam-6475	30	54	,	,	PUNCT
ejpam-6475	30	55	ξ	ξ	PROPN
ejpam-6475	30	56	,	,	PUNCT
ejpam-6475	30	57	γ	γ	NOUN
ejpam-6475	30	58	)	)	PUNCT
ejpam-6475	30	59	∗	∗	NOUN
ejpam-6475	30	60	t	t	NOUN
ejpam-6475	30	61	(	(	PUNCT
ejpam-6475	30	62	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	30	63	,	,	PUNCT
ejpam-6475	30	64	ρ	ρ	NOUN
ejpam-6475	30	65	)	)	PUNCT
ejpam-6475	30	66	≤	≤	NOUN
ejpam-6475	30	67	t	t	NOUN
ejpam-6475	30	68	(	(	PUNCT
ejpam-6475	30	69	υ,ℑ	υ,ℑ	PROPN
ejpam-6475	30	70	,	,	PUNCT
ejpam-6475	30	71	γ	γ	X
ejpam-6475	30	72	+	+	NOUN
ejpam-6475	30	73	ρ	ρ	PROPN
ejpam-6475	30	74	)	)	PUNCT
ejpam-6475	30	75	,	,	PUNCT
ejpam-6475	30	76	(	(	PUNCT
ejpam-6475	30	77	iv	iv	X
ejpam-6475	30	78	)	)	PUNCT
ejpam-6475	30	79	limγ→∞	limγ→∞	PROPN
ejpam-6475	30	80	t	t	NOUN
ejpam-6475	30	81	(	(	PUNCT
ejpam-6475	30	82	υ	υ	PROPN
ejpam-6475	30	83	,	,	PUNCT
ejpam-6475	30	84	ξ	ξ	PROPN
ejpam-6475	30	85	,	,	PUNCT
ejpam-6475	30	86	γ	γ	NOUN
ejpam-6475	30	87	)	)	PUNCT
ejpam-6475	30	88	=	=	SYM
ejpam-6475	30	89	1	1	X
ejpam-6475	30	90	.	.	PUNCT
ejpam-6475	30	91	a.	a.	NOUN
ejpam-6475	30	92	malkawi	malkawi	PROPN
ejpam-6475	30	93	/	/	SYM
ejpam-6475	30	94	eur	eur	PROPN
ejpam-6475	30	95	.	.	PUNCT
ejpam-6475	31	1	j.	j.	PROPN
ejpam-6475	31	2	pure	pure	PROPN
ejpam-6475	31	3	appl	appl	PROPN
ejpam-6475	31	4	.	.	PROPN
ejpam-6475	31	5	math	math	PROPN
ejpam-6475	31	6	,	,	PUNCT
ejpam-6475	31	7	18	18	NUM
ejpam-6475	31	8	(	(	PUNCT
ejpam-6475	31	9	3	3	NUM
ejpam-6475	31	10	)	)	PUNCT
ejpam-6475	31	11	(	(	PUNCT
ejpam-6475	31	12	2025	2025	NUM
ejpam-6475	31	13	)	)	PUNCT
ejpam-6475	31	14	,	,	PUNCT
ejpam-6475	31	15	6475	6475	NUM
ejpam-6475	31	16	3	3	NUM
ejpam-6475	31	17	of	of	ADP
ejpam-6475	31	18	20	20	NUM
ejpam-6475	31	19	definition	definition	NOUN
ejpam-6475	31	20	2	2	NUM
ejpam-6475	31	21	.	.	PUNCT
ejpam-6475	32	1	[	[	X
ejpam-6475	32	2	19	19	NUM
ejpam-6475	32	3	]	]	PUNCT
ejpam-6475	32	4	consider	consider	VERB
ejpam-6475	32	5	a	a	DET
ejpam-6475	32	6	non	non	ADJ
ejpam-6475	32	7	-	-	ADJ
ejpam-6475	32	8	empty	empty	ADJ
ejpam-6475	32	9	set	set	NOUN
ejpam-6475	32	10	x	x	PUNCT
ejpam-6475	32	11	̸=	̸=	PROPN
ejpam-6475	32	12	∅	∅	NOUN
ejpam-6475	32	13	and	and	CCONJ
ejpam-6475	32	14	a	a	DET
ejpam-6475	32	15	real	real	ADJ
ejpam-6475	32	16	number	number	NOUN
ejpam-6475	32	17	r	r	NOUN
ejpam-6475	32	18	>	>	X
ejpam-6475	32	19	1	1	NUM
ejpam-6475	32	20	.	.	PUNCT
ejpam-6475	33	1	a	a	DET
ejpam-6475	33	2	function	function	NOUN
ejpam-6475	33	3	m	m	VERB
ejpam-6475	33	4	:	:	PUNCT
ejpam-6475	33	5	x	x	X
ejpam-6475	33	6	×	×	NOUN
ejpam-6475	33	7	x	x	SYM
ejpam-6475	33	8	×	×	NOUN
ejpam-6475	33	9	x	x	INTJ
ejpam-6475	33	10	→	→	X
ejpam-6475	33	11	[	[	X
ejpam-6475	33	12	0,∞	0,∞	NOUN
ejpam-6475	33	13	)	)	PUNCT
ejpam-6475	33	14	is	be	AUX
ejpam-6475	33	15	termed	term	VERB
ejpam-6475	33	16	an	an	DET
ejpam-6475	33	17	mr	mr	PROPN
ejpam-6475	33	18	-	-	PUNCT
ejpam-6475	33	19	metric	metric	NOUN
ejpam-6475	33	20	if	if	SCONJ
ejpam-6475	33	21	it	it	PRON
ejpam-6475	33	22	satisfies	satisfy	VERB
ejpam-6475	33	23	the	the	DET
ejpam-6475	33	24	following	follow	VERB
ejpam-6475	33	25	conditions	condition	NOUN
ejpam-6475	33	26	for	for	ADP
ejpam-6475	33	27	all	all	DET
ejpam-6475	33	28	υ	υ	PROPN
ejpam-6475	33	29	,	,	PUNCT
ejpam-6475	33	30	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	33	31	∈	∈	PROPN
ejpam-6475	34	1	x	x	X
ejpam-6475	34	2	:	:	PUNCT
ejpam-6475	34	3	•	•	PRON
ejpam-6475	34	4	(	(	PUNCT
ejpam-6475	34	5	m1	m1	NOUN
ejpam-6475	34	6	)	)	PUNCT
ejpam-6475	34	7	m(υ	m(υ	PROPN
ejpam-6475	34	8	,	,	PUNCT
ejpam-6475	34	9	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	34	10	)	)	PUNCT
ejpam-6475	34	11	≥	≥	NOUN
ejpam-6475	34	12	0	0	NUM
ejpam-6475	34	13	.	.	NOUN
ejpam-6475	34	14	•	•	NUM
ejpam-6475	34	15	(	(	PUNCT
ejpam-6475	34	16	m2	m2	PROPN
ejpam-6475	34	17	)	)	PUNCT
ejpam-6475	34	18	m(υ	m(υ	PROPN
ejpam-6475	34	19	,	,	PUNCT
ejpam-6475	34	20	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	34	21	)	)	PUNCT
ejpam-6475	35	1	=	=	SYM
ejpam-6475	35	2	0	0	PUNCT
ejpam-6475	36	1	if	if	SCONJ
ejpam-6475	36	2	and	and	CCONJ
ejpam-6475	36	3	only	only	ADV
ejpam-6475	36	4	if	if	SCONJ
ejpam-6475	36	5	υ	υ	PROPN
ejpam-6475	36	6	=	=	SYM
ejpam-6475	36	7	ξ	ξ	NOUN
ejpam-6475	36	8	=	=	PUNCT
ejpam-6475	36	9	ℑ.	ℑ.	NOUN
ejpam-6475	36	10	•	•	NUM
ejpam-6475	36	11	(	(	PUNCT
ejpam-6475	36	12	m3	m3	PROPN
ejpam-6475	36	13	)	)	PUNCT
ejpam-6475	36	14	m(υ	m(υ	PROPN
ejpam-6475	36	15	,	,	PUNCT
ejpam-6475	36	16	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	36	17	)	)	PUNCT
ejpam-6475	36	18	remains	remain	VERB
ejpam-6475	36	19	invariant	invariant	ADJ
ejpam-6475	36	20	under	under	ADP
ejpam-6475	36	21	any	any	DET
ejpam-6475	36	22	permutation	permutation	NOUN
ejpam-6475	36	23	p(υ	p(υ	NOUN
ejpam-6475	36	24	,	,	PUNCT
ejpam-6475	36	25	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	36	26	)	)	PUNCT
ejpam-6475	36	27	,	,	PUNCT
ejpam-6475	36	28	i.e.	i.e.	X
ejpam-6475	36	29	,	,	PUNCT
ejpam-6475	36	30	m(υ	m(υ	PROPN
ejpam-6475	36	31	,	,	PUNCT
ejpam-6475	36	32	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	36	33	)	)	PUNCT
ejpam-6475	37	1	=	=	SYM
ejpam-6475	37	2	m(p(υ	m(p(υ	PROPN
ejpam-6475	37	3	,	,	PUNCT
ejpam-6475	37	4	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	37	5	)	)	PUNCT
ejpam-6475	37	6	)	)	PUNCT
ejpam-6475	37	7	.	.	PUNCT
ejpam-6475	38	1	•	•	NUM
ejpam-6475	38	2	(	(	PUNCT
ejpam-6475	38	3	m4	m4	PROPN
ejpam-6475	38	4	)	)	PUNCT
ejpam-6475	38	5	the	the	DET
ejpam-6475	38	6	following	follow	VERB
ejpam-6475	38	7	inequality	inequality	NOUN
ejpam-6475	38	8	holds	hold	VERB
ejpam-6475	38	9	:	:	PUNCT
ejpam-6475	39	1	m(υ	m(υ	PROPN
ejpam-6475	39	2	,	,	PUNCT
ejpam-6475	39	3	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	39	4	)	)	PUNCT
ejpam-6475	39	5	≤	≤	NUM
ejpam-6475	39	6	r	r	NOUN
ejpam-6475	40	1	[	[	X
ejpam-6475	40	2	m(υ	m(υ	PROPN
ejpam-6475	40	3	,	,	PUNCT
ejpam-6475	40	4	ξ	ξ	PROPN
ejpam-6475	40	5	,	,	PUNCT
ejpam-6475	40	6	ℓ1	ℓ1	NOUN
ejpam-6475	40	7	)	)	PUNCT
ejpam-6475	41	1	+	+	SYM
ejpam-6475	41	2	m(υ	m(υ	PROPN
ejpam-6475	41	3	,	,	PUNCT
ejpam-6475	41	4	ℓ1,ℑ	ℓ1,ℑ	NOUN
ejpam-6475	41	5	)	)	PUNCT
ejpam-6475	42	1	+	+	ADJ
ejpam-6475	42	2	m(ℓ1	m(ℓ1	NOUN
ejpam-6475	42	3	,	,	PUNCT
ejpam-6475	42	4	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	42	5	)	)	PUNCT
ejpam-6475	42	6	]	]	PUNCT
ejpam-6475	42	7	.	.	PUNCT
ejpam-6475	43	1	a	a	DET
ejpam-6475	43	2	structure	structure	NOUN
ejpam-6475	43	3	(	(	PUNCT
ejpam-6475	43	4	x	x	X
ejpam-6475	43	5	,	,	PUNCT
ejpam-6475	43	6	m	m	NOUN
ejpam-6475	43	7	)	)	PUNCT
ejpam-6475	43	8	that	that	PRON
ejpam-6475	43	9	adheres	adhere	VERB
ejpam-6475	43	10	to	to	ADP
ejpam-6475	43	11	these	these	DET
ejpam-6475	43	12	properties	property	NOUN
ejpam-6475	43	13	is	be	AUX
ejpam-6475	43	14	defined	define	VERB
ejpam-6475	43	15	as	as	ADP
ejpam-6475	43	16	an	an	DET
ejpam-6475	43	17	mr	mr	PROPN
ejpam-6475	43	18	-	-	PUNCT
ejpam-6475	43	19	metric	metric	ADJ
ejpam-6475	43	20	space	space	NOUN
ejpam-6475	43	21	.	.	PUNCT
ejpam-6475	44	1	definition	definition	NOUN
ejpam-6475	44	2	3	3	NUM
ejpam-6475	44	3	.	.	PUNCT
ejpam-6475	45	1	[	[	X
ejpam-6475	45	2	29	29	NUM
ejpam-6475	45	3	]	]	X
ejpam-6475	46	1	[	[	X
ejpam-6475	46	2	neutrosophic	neutrosophic	ADJ
ejpam-6475	46	3	mr	mr	ADJ
ejpam-6475	46	4	-	-	PUNCT
ejpam-6475	46	5	metric	metric	ADJ
ejpam-6475	46	6	space	space	NOUN
ejpam-6475	46	7	(	(	PUNCT
ejpam-6475	46	8	nmr	nmr	NOUN
ejpam-6475	46	9	-	-	PUNCT
ejpam-6475	46	10	ms	ms	NOUN
ejpam-6475	46	11	)	)	PUNCT
ejpam-6475	46	12	]	]	PUNCT
ejpam-6475	46	13	a	a	DET
ejpam-6475	46	14	9	9	NUM
ejpam-6475	46	15	-	-	PUNCT
ejpam-6475	46	16	tuple	tuple	NOUN
ejpam-6475	46	17	(	(	PUNCT
ejpam-6475	46	18	z	z	PROPN
ejpam-6475	46	19	,	,	PUNCT
ejpam-6475	46	20	m	m	PROPN
ejpam-6475	46	21	,	,	PUNCT
ejpam-6475	46	22	t	t	PROPN
ejpam-6475	46	23	,	,	PUNCT
ejpam-6475	46	24	f	f	PROPN
ejpam-6475	46	25	,	,	PUNCT
ejpam-6475	46	26	i	i	PRON
ejpam-6475	46	27	,	,	PUNCT
ejpam-6475	46	28	•	•	PROPN
ejpam-6475	46	29	,	,	PUNCT
ejpam-6475	46	30	⋄	⋄	PROPN
ejpam-6475	46	31	,	,	PUNCT
ejpam-6475	46	32	r	r	NOUN
ejpam-6475	46	33	,	,	PUNCT
ejpam-6475	46	34	⋆	⋆	CCONJ
ejpam-6475	46	35	)	)	PUNCT
ejpam-6475	46	36	is	be	AUX
ejpam-6475	46	37	called	call	VERB
ejpam-6475	46	38	a	a	DET
ejpam-6475	46	39	neutrosophic	neutrosophic	ADJ
ejpam-6475	46	40	mr	mr	ADJ
ejpam-6475	46	41	-	-	PUNCT
ejpam-6475	46	42	metric	metric	ADJ
ejpam-6475	46	43	space	space	NOUN
ejpam-6475	46	44	if	if	SCONJ
ejpam-6475	46	45	:	:	PUNCT
ejpam-6475	46	46	(	(	PUNCT
ejpam-6475	46	47	i	i	NOUN
ejpam-6475	46	48	)	)	PUNCT
ejpam-6475	46	49	underlying	underlie	VERB
ejpam-6475	46	50	set	set	NOUN
ejpam-6475	46	51	:	:	PUNCT
ejpam-6475	46	52	z	z	NOUN
ejpam-6475	46	53	is	be	AUX
ejpam-6475	46	54	a	a	DET
ejpam-6475	46	55	non	non	ADJ
ejpam-6475	46	56	-	-	ADJ
ejpam-6475	46	57	empty	empty	ADJ
ejpam-6475	46	58	set	set	NOUN
ejpam-6475	46	59	.	.	PUNCT
ejpam-6475	47	1	(	(	PUNCT
ejpam-6475	47	2	ii	ii	NOUN
ejpam-6475	47	3	)	)	PUNCT
ejpam-6475	47	4	mr	mr	PROPN
ejpam-6475	47	5	-	-	PUNCT
ejpam-6475	47	6	metric	metric	ADJ
ejpam-6475	47	7	component	component	NOUN
ejpam-6475	47	8	:	:	PUNCT
ejpam-6475	47	9	m	m	VERB
ejpam-6475	47	10	:	:	PUNCT
ejpam-6475	47	11	z	z	X
ejpam-6475	47	12	×	×	NOUN
ejpam-6475	47	13	z	z	NOUN
ejpam-6475	47	14	×z	×z	PROPN
ejpam-6475	47	15	→	→	SYM
ejpam-6475	47	16	[	[	X
ejpam-6475	47	17	0,∞	0,∞	NOUN
ejpam-6475	47	18	)	)	PUNCT
ejpam-6475	47	19	satisfies	satisfie	NOUN
ejpam-6475	47	20	:	:	PUNCT
ejpam-6475	47	21	(	(	PUNCT
ejpam-6475	47	22	m1	m1	NOUN
ejpam-6475	47	23	)	)	PUNCT
ejpam-6475	47	24	positivity	positivity	NOUN
ejpam-6475	47	25	:	:	PUNCT
ejpam-6475	47	26	m(υ	m(υ	PROPN
ejpam-6475	47	27	,	,	PUNCT
ejpam-6475	47	28	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	47	29	)	)	PUNCT
ejpam-6475	47	30	≥	≥	NOUN
ejpam-6475	47	31	0	0	NUM
ejpam-6475	47	32	.	.	PUNCT
ejpam-6475	48	1	(	(	PUNCT
ejpam-6475	48	2	m2	m2	PROPN
ejpam-6475	48	3	)	)	PUNCT
ejpam-6475	48	4	identity	identity	NOUN
ejpam-6475	48	5	:	:	PUNCT
ejpam-6475	48	6	m(υ	m(υ	PROPN
ejpam-6475	48	7	,	,	PUNCT
ejpam-6475	48	8	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	48	9	)	)	PUNCT
ejpam-6475	48	10	=	=	SYM
ejpam-6475	48	11	0	0	NUM
ejpam-6475	48	12	⇐	⇐	ADJ
ejpam-6475	48	13	⇒	⇒	NOUN
ejpam-6475	48	14	υ	υ	X
ejpam-6475	48	15	=	=	SYM
ejpam-6475	48	16	ξ	ξ	PROPN
ejpam-6475	48	17	=	=	SYM
ejpam-6475	48	18	ℑ.	ℑ.	PROPN
ejpam-6475	48	19	(	(	PUNCT
ejpam-6475	48	20	m3	m3	PROPN
ejpam-6475	48	21	)	)	PUNCT
ejpam-6475	48	22	symmetry	symmetry	NOUN
ejpam-6475	48	23	:	:	PUNCT
ejpam-6475	48	24	m(υ	m(υ	PROPN
ejpam-6475	48	25	,	,	PUNCT
ejpam-6475	48	26	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	48	27	)	)	PUNCT
ejpam-6475	48	28	=	=	SYM
ejpam-6475	49	1	m(p(υ	m(p(υ	PROPN
ejpam-6475	49	2	,	,	PUNCT
ejpam-6475	49	3	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	49	4	)	)	PUNCT
ejpam-6475	49	5	)	)	PUNCT
ejpam-6475	49	6	for	for	ADP
ejpam-6475	49	7	any	any	DET
ejpam-6475	49	8	permutation	permutation	NOUN
ejpam-6475	50	1	p.	p.	NOUN
ejpam-6475	50	2	(	(	PUNCT
ejpam-6475	50	3	m4	m4	PROPN
ejpam-6475	50	4	)	)	PUNCT
ejpam-6475	50	5	mr	mr	PROPN
ejpam-6475	50	6	-	-	PUNCT
ejpam-6475	50	7	triangle	triangle	NOUN
ejpam-6475	50	8	inequality	inequality	NOUN
ejpam-6475	50	9	(	(	PUNCT
ejpam-6475	50	10	⋆-weighted	⋆-weighte	VERB
ejpam-6475	50	11	):	):	PUNCT
ejpam-6475	50	12	m(υ	m(υ	PROPN
ejpam-6475	50	13	,	,	PUNCT
ejpam-6475	50	14	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	50	15	)	)	PUNCT
ejpam-6475	50	16	≤	≤	NUM
ejpam-6475	51	1	r	r	NOUN
ejpam-6475	52	1	[	[	X
ejpam-6475	52	2	m(υ	m(υ	PROPN
ejpam-6475	52	3	,	,	PUNCT
ejpam-6475	52	4	ξ	ξ	PROPN
ejpam-6475	52	5	,	,	PUNCT
ejpam-6475	52	6	ℓ	ℓ	NUM
ejpam-6475	52	7	)	)	PUNCT
ejpam-6475	52	8	⋆	⋆	NOUN
ejpam-6475	53	1	m(υ	m(υ	PROPN
ejpam-6475	53	2	,	,	PUNCT
ejpam-6475	53	3	ℓ,ℑ	ℓ,ℑ	PROPN
ejpam-6475	53	4	)	)	PUNCT
ejpam-6475	53	5	⋆	⋆	NOUN
ejpam-6475	53	6	m(ℓ	m(ℓ	NOUN
ejpam-6475	53	7	,	,	PUNCT
ejpam-6475	53	8	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	53	9	)	)	PUNCT
ejpam-6475	53	10	]	]	PUNCT
ejpam-6475	53	11	,	,	PUNCT
ejpam-6475	53	12	r	r	NOUN
ejpam-6475	53	13	>	>	X
ejpam-6475	53	14	1	1	NUM
ejpam-6475	53	15	.	.	PUNCT
ejpam-6475	53	16	(	(	PUNCT
ejpam-6475	53	17	iii	iii	X
ejpam-6475	53	18	)	)	PUNCT
ejpam-6475	53	19	neutrosophic	neutrosophic	ADJ
ejpam-6475	53	20	component	component	NOUN
ejpam-6475	53	21	:	:	PUNCT
ejpam-6475	53	22	t	t	PROPN
ejpam-6475	53	23	,	,	PUNCT
ejpam-6475	53	24	f	f	PROPN
ejpam-6475	53	25	,	,	PUNCT
ejpam-6475	53	26	i	i	PRON
ejpam-6475	53	27	:	:	PUNCT
ejpam-6475	53	28	z	z	NOUN
ejpam-6475	53	29	×	×	PROPN
ejpam-6475	53	30	z	z	NOUN
ejpam-6475	53	31	×	×	NOUN
ejpam-6475	53	32	(	(	PUNCT
ejpam-6475	53	33	0,∞	0,∞	NOUN
ejpam-6475	53	34	)	)	PUNCT
ejpam-6475	54	1	→	→	PUNCT
ejpam-6475	54	2	[	[	X
ejpam-6475	54	3	0	0	NUM
ejpam-6475	54	4	,	,	PUNCT
ejpam-6475	54	5	1	1	NUM
ejpam-6475	54	6	]	]	PUNCT
ejpam-6475	54	7	satisfy	satisfy	NOUN
ejpam-6475	54	8	:	:	PUNCT
ejpam-6475	54	9	(	(	PUNCT
ejpam-6475	54	10	n1	n1	NOUN
ejpam-6475	54	11	)	)	PUNCT
ejpam-6475	54	12	t	t	NOUN
ejpam-6475	54	13	(	(	PUNCT
ejpam-6475	54	14	υ	υ	PROPN
ejpam-6475	54	15	,	,	PUNCT
ejpam-6475	54	16	ξ	ξ	PROPN
ejpam-6475	54	17	,	,	PUNCT
ejpam-6475	54	18	γ	γ	NOUN
ejpam-6475	54	19	)	)	PUNCT
ejpam-6475	54	20	=	=	SYM
ejpam-6475	54	21	1	1	NUM
ejpam-6475	54	22	⇐	⇐	ADJ
ejpam-6475	54	23	⇒	⇒	NOUN
ejpam-6475	54	24	υ	υ	X
ejpam-6475	54	25	=	=	SYM
ejpam-6475	54	26	ξ	ξ	PROPN
ejpam-6475	54	27	(	(	PUNCT
ejpam-6475	54	28	truth	truth	NOUN
ejpam-6475	54	29	-	-	PUNCT
ejpam-6475	54	30	identity	identity	NOUN
ejpam-6475	54	31	)	)	PUNCT
ejpam-6475	54	32	.	.	PUNCT
ejpam-6475	55	1	(	(	PUNCT
ejpam-6475	55	2	n2	n2	ADJ
ejpam-6475	55	3	)	)	PUNCT
ejpam-6475	55	4	t	t	NOUN
ejpam-6475	55	5	(	(	PUNCT
ejpam-6475	55	6	υ	υ	PROPN
ejpam-6475	55	7	,	,	PUNCT
ejpam-6475	55	8	ξ	ξ	PROPN
ejpam-6475	55	9	,	,	PUNCT
ejpam-6475	55	10	γ	γ	NOUN
ejpam-6475	55	11	)	)	PUNCT
ejpam-6475	55	12	=	=	SYM
ejpam-6475	55	13	t	t	PROPN
ejpam-6475	55	14	(	(	PUNCT
ejpam-6475	55	15	ξ	ξ	PROPN
ejpam-6475	55	16	,	,	PUNCT
ejpam-6475	55	17	υ	υ	PROPN
ejpam-6475	55	18	,	,	PUNCT
ejpam-6475	55	19	γ	γ	NOUN
ejpam-6475	55	20	)	)	PUNCT
ejpam-6475	55	21	(	(	PUNCT
ejpam-6475	55	22	truth	truth	NOUN
ejpam-6475	55	23	-	-	PUNCT
ejpam-6475	55	24	symmetry	symmetry	NOUN
ejpam-6475	55	25	)	)	PUNCT
ejpam-6475	55	26	.	.	PUNCT
ejpam-6475	56	1	(	(	PUNCT
ejpam-6475	56	2	n3	n3	NOUN
ejpam-6475	56	3	)	)	PUNCT
ejpam-6475	56	4	t	t	PROPN
ejpam-6475	56	5	(	(	PUNCT
ejpam-6475	56	6	υ	υ	PROPN
ejpam-6475	56	7	,	,	PUNCT
ejpam-6475	56	8	ξ	ξ	PROPN
ejpam-6475	56	9	,	,	PUNCT
ejpam-6475	56	10	γ	γ	NOUN
ejpam-6475	56	11	)	)	PUNCT
ejpam-6475	56	12	•	•	NUM
ejpam-6475	56	13	t	t	PROPN
ejpam-6475	56	14	(	(	PUNCT
ejpam-6475	56	15	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	56	16	,	,	PUNCT
ejpam-6475	56	17	ρ	ρ	NOUN
ejpam-6475	56	18	)	)	PUNCT
ejpam-6475	56	19	≤	≤	NOUN
ejpam-6475	56	20	t	t	NOUN
ejpam-6475	56	21	(	(	PUNCT
ejpam-6475	56	22	υ,ℑ	υ,ℑ	PROPN
ejpam-6475	56	23	,	,	PUNCT
ejpam-6475	56	24	γ	γ	X
ejpam-6475	56	25	+	+	NOUN
ejpam-6475	56	26	ρ	ρ	PROPN
ejpam-6475	56	27	)	)	PUNCT
ejpam-6475	56	28	(	(	PUNCT
ejpam-6475	56	29	truth	truth	NOUN
ejpam-6475	56	30	-	-	PUNCT
ejpam-6475	56	31	triangle	triangle	NOUN
ejpam-6475	56	32	)	)	PUNCT
ejpam-6475	56	33	.	.	PUNCT
ejpam-6475	57	1	(	(	PUNCT
ejpam-6475	57	2	n4	n4	PROPN
ejpam-6475	57	3	)	)	PUNCT
ejpam-6475	57	4	limγ→∞	limγ→∞	PROPN
ejpam-6475	57	5	t	t	NOUN
ejpam-6475	57	6	(	(	PUNCT
ejpam-6475	57	7	υ	υ	PROPN
ejpam-6475	57	8	,	,	PUNCT
ejpam-6475	57	9	ξ	ξ	PROPN
ejpam-6475	57	10	,	,	PUNCT
ejpam-6475	57	11	γ	γ	NOUN
ejpam-6475	57	12	)	)	PUNCT
ejpam-6475	57	13	=	=	SYM
ejpam-6475	57	14	1	1	NUM
ejpam-6475	57	15	(	(	PUNCT
ejpam-6475	57	16	truth	truth	NOUN
ejpam-6475	57	17	-	-	PUNCT
ejpam-6475	57	18	asymptotics	asymptotic	NOUN
ejpam-6475	57	19	)	)	PUNCT
ejpam-6475	57	20	.	.	PUNCT
ejpam-6475	58	1	(	(	PUNCT
ejpam-6475	58	2	n5)-(n8	n5)-(n8	NUM
ejpam-6475	58	3	)	)	PUNCT
ejpam-6475	58	4	analogous	analogous	ADJ
ejpam-6475	58	5	conditions	condition	NOUN
ejpam-6475	58	6	for	for	ADP
ejpam-6475	58	7	f	f	PROPN
ejpam-6475	58	8	(	(	PUNCT
ejpam-6475	58	9	using	use	VERB
ejpam-6475	58	10	⋄	⋄	PROPN
ejpam-6475	58	11	)	)	PUNCT
ejpam-6475	58	12	and	and	CCONJ
ejpam-6475	58	13	i.	i.	PROPN
ejpam-6475	58	14	(	(	PUNCT
ejpam-6475	58	15	iv	iv	NOUN
ejpam-6475	58	16	)	)	PUNCT
ejpam-6475	58	17	compatibility	compatibility	NOUN
ejpam-6475	58	18	conditions	condition	NOUN
ejpam-6475	58	19	:	:	PUNCT
ejpam-6475	58	20	(	(	PUNCT
ejpam-6475	58	21	c1	c1	NOUN
ejpam-6475	58	22	)	)	PUNCT
ejpam-6475	58	23	metric	metric	ADJ
ejpam-6475	58	24	-	-	PUNCT
ejpam-6475	58	25	neutrosophic	neutrosophic	ADJ
ejpam-6475	58	26	link	link	NOUN
ejpam-6475	58	27	:	:	PUNCT
ejpam-6475	58	28	t	t	PROPN
ejpam-6475	58	29	(	(	PUNCT
ejpam-6475	58	30	υ	υ	PROPN
ejpam-6475	58	31	,	,	PUNCT
ejpam-6475	58	32	ξ	ξ	PROPN
ejpam-6475	58	33	,	,	PUNCT
ejpam-6475	58	34	γ	γ	NOUN
ejpam-6475	58	35	)	)	PUNCT
ejpam-6475	58	36	≥	≥	NOUN
ejpam-6475	58	37	1	1	NUM
ejpam-6475	58	38	1	1	NUM
ejpam-6475	59	1	+	+	PROPN
ejpam-6475	59	2	m(υ	m(υ	PROPN
ejpam-6475	59	3	,	,	PUNCT
ejpam-6475	59	4	ξ	ξ	PROPN
ejpam-6475	59	5	,	,	PUNCT
ejpam-6475	59	6	ξ	ξ	NOUN
ejpam-6475	59	7	)	)	PUNCT
ejpam-6475	59	8	,	,	PUNCT
ejpam-6475	59	9	f(υ	f(υ	PROPN
ejpam-6475	59	10	,	,	PUNCT
ejpam-6475	59	11	ξ	ξ	PROPN
ejpam-6475	59	12	,	,	PUNCT
ejpam-6475	59	13	γ	γ	NOUN
ejpam-6475	59	14	)	)	PUNCT
ejpam-6475	59	15	≤	≤	NOUN
ejpam-6475	60	1	m(υ	m(υ	PROPN
ejpam-6475	60	2	,	,	PUNCT
ejpam-6475	60	3	ξ	ξ	PROPN
ejpam-6475	60	4	,	,	PUNCT
ejpam-6475	60	5	ξ	ξ	NOUN
ejpam-6475	60	6	)	)	PUNCT
ejpam-6475	60	7	1	1	NUM
ejpam-6475	61	1	+	+	SYM
ejpam-6475	61	2	m(υ	m(υ	PROPN
ejpam-6475	61	3	,	,	PUNCT
ejpam-6475	61	4	ξ	ξ	PROPN
ejpam-6475	61	5	,	,	PUNCT
ejpam-6475	61	6	ξ	ξ	NOUN
ejpam-6475	61	7	)	)	PUNCT
ejpam-6475	61	8	.	.	PUNCT
ejpam-6475	62	1	a.	a.	NOUN
ejpam-6475	62	2	malkawi	malkawi	ADP
ejpam-6475	62	3	/	/	SYM
ejpam-6475	62	4	eur	eur	PROPN
ejpam-6475	62	5	.	.	PUNCT
ejpam-6475	63	1	j.	j.	PROPN
ejpam-6475	63	2	pure	pure	PROPN
ejpam-6475	63	3	appl	appl	PROPN
ejpam-6475	63	4	.	.	PROPN
ejpam-6475	63	5	math	math	PROPN
ejpam-6475	63	6	,	,	PUNCT
ejpam-6475	63	7	18	18	NUM
ejpam-6475	63	8	(	(	PUNCT
ejpam-6475	63	9	3	3	NUM
ejpam-6475	63	10	)	)	PUNCT
ejpam-6475	63	11	(	(	PUNCT
ejpam-6475	63	12	2025	2025	NUM
ejpam-6475	63	13	)	)	PUNCT
ejpam-6475	63	14	,	,	PUNCT
ejpam-6475	63	15	6475	6475	NUM
ejpam-6475	63	16	4	4	NUM
ejpam-6475	63	17	of	of	ADP
ejpam-6475	63	18	20	20	NUM
ejpam-6475	63	19	(	(	PUNCT
ejpam-6475	63	20	c2	c2	PROPN
ejpam-6475	63	21	)	)	PUNCT
ejpam-6475	63	22	consistency	consistency	NOUN
ejpam-6475	63	23	of	of	ADP
ejpam-6475	63	24	operations	operation	NOUN
ejpam-6475	63	25	:	:	PUNCT
ejpam-6475	63	26	(	(	PUNCT
ejpam-6475	63	27	a	a	DET
ejpam-6475	63	28	⋆	⋆	NOUN
ejpam-6475	63	29	b	b	NOUN
ejpam-6475	63	30	)	)	PUNCT
ejpam-6475	63	31	•	•	NUM
ejpam-6475	63	32	c	c	NOUN
ejpam-6475	63	33	≤	≤	NUM
ejpam-6475	63	34	(	(	PUNCT
ejpam-6475	63	35	a	a	DET
ejpam-6475	63	36	•	•	NOUN
ejpam-6475	63	37	c	c	NOUN
ejpam-6475	63	38	)	)	PUNCT
ejpam-6475	63	39	⋆	⋆	NOUN
ejpam-6475	63	40	(	(	PUNCT
ejpam-6475	63	41	b	b	NOUN
ejpam-6475	63	42	•	•	NUM
ejpam-6475	63	43	c	c	NOUN
ejpam-6475	63	44	)	)	PUNCT
ejpam-6475	63	45	,	,	PUNCT
ejpam-6475	63	46	∀a	∀a	X
ejpam-6475	63	47	,	,	PUNCT
ejpam-6475	63	48	b	b	X
ejpam-6475	63	49	,	,	PUNCT
ejpam-6475	63	50	c	c	PROPN
ejpam-6475	63	51	∈	∈	PROPN
ejpam-6475	64	1	[	[	X
ejpam-6475	64	2	0	0	NUM
ejpam-6475	64	3	,	,	PUNCT
ejpam-6475	64	4	1	1	NUM
ejpam-6475	64	5	]	]	PUNCT
ejpam-6475	64	6	.	.	PUNCT
ejpam-6475	65	1	(	(	PUNCT
ejpam-6475	65	2	v	v	NOUN
ejpam-6475	65	3	)	)	PUNCT
ejpam-6475	65	4	operations	operation	NOUN
ejpam-6475	65	5	:	:	PUNCT
ejpam-6475	65	6	•	•	NOUN
ejpam-6475	65	7	•	•	NOUN
ejpam-6475	65	8	:	:	PUNCT
ejpam-6475	65	9	continuous	continuous	ADJ
ejpam-6475	65	10	t	t	NOUN
ejpam-6475	65	11	-	-	PUNCT
ejpam-6475	65	12	norm	norm	NOUN
ejpam-6475	65	13	(	(	PUNCT
ejpam-6475	65	14	e.g.	e.g.	ADV
ejpam-6475	65	15	,	,	PUNCT
ejpam-6475	65	16	product	product	NOUN
ejpam-6475	65	17	or	or	CCONJ
ejpam-6475	65	18	minimum	minimum	NOUN
ejpam-6475	65	19	)	)	PUNCT
ejpam-6475	65	20	.	.	PUNCT
ejpam-6475	66	1	•	•	NUM
ejpam-6475	66	2	⋄	⋄	NOUN
ejpam-6475	66	3	:	:	PUNCT
ejpam-6475	66	4	continuous	continuous	ADJ
ejpam-6475	66	5	t	t	NOUN
ejpam-6475	66	6	-	-	PUNCT
ejpam-6475	66	7	conorm	conorm	NOUN
ejpam-6475	66	8	(	(	PUNCT
ejpam-6475	66	9	e.g.	e.g.	ADV
ejpam-6475	66	10	,	,	PUNCT
ejpam-6475	66	11	probabilistic	probabilistic	ADJ
ejpam-6475	66	12	sum	sum	NOUN
ejpam-6475	66	13	or	or	CCONJ
ejpam-6475	66	14	maximum	maximum	ADJ
ejpam-6475	66	15	)	)	PUNCT
ejpam-6475	66	16	.	.	PUNCT
ejpam-6475	67	1	•	•	NUM
ejpam-6475	68	1	⋆	⋆	VERB
ejpam-6475	68	2	:	:	PUNCT
ejpam-6475	68	3	binary	binary	ADJ
ejpam-6475	68	4	operation	operation	NOUN
ejpam-6475	68	5	generalizing	generalize	VERB
ejpam-6475	68	6	+	+	X
ejpam-6475	68	7	(	(	PUNCT
ejpam-6475	68	8	e.g.	e.g.	ADV
ejpam-6475	68	9	,	,	PUNCT
ejpam-6475	68	10	weighted	weight	VERB
ejpam-6475	68	11	sum	sum	NOUN
ejpam-6475	68	12	or	or	CCONJ
ejpam-6475	68	13	matrix	matrix	NOUN
ejpam-6475	68	14	product	product	NOUN
ejpam-6475	68	15	)	)	PUNCT
ejpam-6475	68	16	.	.	PUNCT
ejpam-6475	69	1	2	2	X
ejpam-6475	69	2	.	.	X
ejpam-6475	69	3	theorems	theorem	NOUN
ejpam-6475	69	4	linking	link	VERB
ejpam-6475	69	5	nmr	nmr	NOUN
ejpam-6475	69	6	-	-	PUNCT
ejpam-6475	69	7	ms	ms	NOUN
ejpam-6475	69	8	and	and	CCONJ
ejpam-6475	69	9	fms	fms	PROPN
ejpam-6475	69	10	theorem	theorem	VERB
ejpam-6475	69	11	1	1	NUM
ejpam-6475	69	12	(	(	PUNCT
ejpam-6475	69	13	fms	fms	PROPN
ejpam-6475	69	14	embedding	embed	VERB
ejpam-6475	69	15	in	in	ADP
ejpam-6475	69	16	nmr	nmr	NOUN
ejpam-6475	69	17	-	-	PUNCT
ejpam-6475	69	18	ms	ms	NOUN
ejpam-6475	69	19	)	)	PUNCT
ejpam-6475	69	20	.	.	PUNCT
ejpam-6475	70	1	every	every	DET
ejpam-6475	70	2	fuzzy	fuzzy	ADJ
ejpam-6475	70	3	metric	metric	ADJ
ejpam-6475	70	4	space	space	NOUN
ejpam-6475	70	5	(	(	PUNCT
ejpam-6475	70	6	z	z	NOUN
ejpam-6475	70	7	,	,	PUNCT
ejpam-6475	70	8	t	t	PROPN
ejpam-6475	70	9	,	,	PUNCT
ejpam-6475	70	10	∗	∗	NOUN
ejpam-6475	70	11	)	)	PUNCT
ejpam-6475	70	12	can	can	AUX
ejpam-6475	70	13	be	be	AUX
ejpam-6475	70	14	embedded	embed	VERB
ejpam-6475	70	15	into	into	ADP
ejpam-6475	70	16	a	a	DET
ejpam-6475	70	17	neutrosophic	neutrosophic	ADJ
ejpam-6475	70	18	mr	mr	ADJ
ejpam-6475	70	19	-	-	PUNCT
ejpam-6475	70	20	metric	metric	ADJ
ejpam-6475	70	21	space	space	NOUN
ejpam-6475	70	22	(	(	PUNCT
ejpam-6475	70	23	z	z	NOUN
ejpam-6475	70	24	,	,	PUNCT
ejpam-6475	70	25	m	m	PROPN
ejpam-6475	70	26	,	,	PUNCT
ejpam-6475	70	27	t	t	PROPN
ejpam-6475	70	28	,	,	PUNCT
ejpam-6475	70	29	f	f	PROPN
ejpam-6475	70	30	,	,	PUNCT
ejpam-6475	70	31	i	i	PRON
ejpam-6475	70	32	,	,	PUNCT
ejpam-6475	70	33	•	•	PROPN
ejpam-6475	70	34	,	,	PUNCT
ejpam-6475	70	35	⋄	⋄	PROPN
ejpam-6475	70	36	,	,	PUNCT
ejpam-6475	70	37	r	r	NOUN
ejpam-6475	70	38	,	,	PUNCT
ejpam-6475	70	39	⋆	⋆	NOUN
ejpam-6475	70	40	)	)	PUNCT
ejpam-6475	70	41	by	by	ADP
ejpam-6475	70	42	:	:	PUNCT
ejpam-6475	70	43	•	•	NUM
ejpam-6475	70	44	defining	define	VERB
ejpam-6475	70	45	m(υ	m(υ	PROPN
ejpam-6475	70	46	,	,	PUNCT
ejpam-6475	70	47	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	70	48	)	)	PUNCT
ejpam-6475	71	1	=	=	SYM
ejpam-6475	71	2	0	0	PUNCT
ejpam-6475	72	1	if	if	SCONJ
ejpam-6475	72	2	υ	υ	PROPN
ejpam-6475	72	3	=	=	SYM
ejpam-6475	72	4	ξ	ξ	PROPN
ejpam-6475	72	5	=	=	SYM
ejpam-6475	72	6	ℑ	ℑ	PROPN
ejpam-6475	72	7	,	,	PUNCT
ejpam-6475	72	8	otherwise	otherwise	ADV
ejpam-6475	72	9	m(υ	m(υ	PROPN
ejpam-6475	72	10	,	,	PUNCT
ejpam-6475	72	11	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	72	12	)	)	PUNCT
ejpam-6475	72	13	=	=	SYM
ejpam-6475	72	14	1	1	NUM
ejpam-6475	72	15	,	,	PUNCT
ejpam-6475	72	16	•	•	NOUN
ejpam-6475	72	17	setting	set	VERB
ejpam-6475	72	18	f(υ	f(υ	PROPN
ejpam-6475	72	19	,	,	PUNCT
ejpam-6475	72	20	ξ	ξ	PROPN
ejpam-6475	72	21	,	,	PUNCT
ejpam-6475	72	22	γ	γ	NOUN
ejpam-6475	72	23	)	)	PUNCT
ejpam-6475	72	24	=	=	SYM
ejpam-6475	72	25	1−	1−	NUM
ejpam-6475	72	26	t	t	PROPN
ejpam-6475	72	27	(	(	PUNCT
ejpam-6475	72	28	υ	υ	PROPN
ejpam-6475	72	29	,	,	PUNCT
ejpam-6475	72	30	ξ	ξ	PROPN
ejpam-6475	72	31	,	,	PUNCT
ejpam-6475	72	32	γ	γ	NOUN
ejpam-6475	72	33	)	)	PUNCT
ejpam-6475	72	34	,	,	PUNCT
ejpam-6475	72	35	•	•	ADV
ejpam-6475	72	36	i(υ	i(υ	NOUN
ejpam-6475	72	37	,	,	PUNCT
ejpam-6475	72	38	ξ	ξ	PROPN
ejpam-6475	72	39	,	,	PUNCT
ejpam-6475	72	40	γ	γ	NOUN
ejpam-6475	72	41	)	)	PUNCT
ejpam-6475	72	42	=	=	SYM
ejpam-6475	72	43	0	0	PUNCT
ejpam-6475	72	44	(	(	PUNCT
ejpam-6475	72	45	no	no	DET
ejpam-6475	72	46	indeterminacy	indeterminacy	NOUN
ejpam-6475	72	47	)	)	PUNCT
ejpam-6475	72	48	,	,	PUNCT
ejpam-6475	72	49	•	•	ADV
ejpam-6475	72	50	choosing	choose	VERB
ejpam-6475	72	51	•	•	NOUN
ejpam-6475	72	52	=	=	SYM
ejpam-6475	72	53	∗	∗	NOUN
ejpam-6475	72	54	,	,	PUNCT
ejpam-6475	72	55	⋄	⋄	PROPN
ejpam-6475	72	56	=	=	SYM
ejpam-6475	72	57	max	max	PROPN
ejpam-6475	72	58	,	,	PUNCT
ejpam-6475	72	59	⋆	⋆	X
ejpam-6475	72	60	=	=	SYM
ejpam-6475	72	61	+	+	ADJ
ejpam-6475	72	62	,	,	PUNCT
ejpam-6475	72	63	and	and	CCONJ
ejpam-6475	72	64	r	r	NOUN
ejpam-6475	72	65	=	=	SYM
ejpam-6475	72	66	2	2	NUM
ejpam-6475	72	67	.	.	X
ejpam-6475	73	1	the	the	DET
ejpam-6475	73	2	resulting	result	VERB
ejpam-6475	73	3	structure	structure	NOUN
ejpam-6475	73	4	satisfies	satisfy	VERB
ejpam-6475	73	5	all	all	DET
ejpam-6475	73	6	nmr	nmr	NOUN
ejpam-6475	73	7	-	-	PUNCT
ejpam-6475	73	8	ms	ms	NOUN
ejpam-6475	73	9	axioms	axiom	NOUN
ejpam-6475	73	10	,	,	PUNCT
ejpam-6475	73	11	with	with	ADP
ejpam-6475	73	12	(	(	PUNCT
ejpam-6475	73	13	c1	c1	NOUN
ejpam-6475	73	14	)	)	PUNCT
ejpam-6475	73	15	and	and	CCONJ
ejpam-6475	73	16	(	(	PUNCT
ejpam-6475	73	17	c2	c2	PROPN
ejpam-6475	73	18	)	)	PUNCT
ejpam-6475	73	19	trivially	trivially	ADV
ejpam-6475	73	20	satisfied	satisfied	ADJ
ejpam-6475	73	21	.	.	PUNCT
ejpam-6475	74	1	proof	proof	NOUN
ejpam-6475	74	2	.	.	PUNCT
ejpam-6475	75	1	we	we	PRON
ejpam-6475	75	2	verify	verify	VERB
ejpam-6475	75	3	each	each	DET
ejpam-6475	75	4	component	component	NOUN
ejpam-6475	75	5	of	of	ADP
ejpam-6475	75	6	the	the	DET
ejpam-6475	75	7	nmr	nmr	NOUN
ejpam-6475	75	8	-	-	PUNCT
ejpam-6475	75	9	ms	ms	NOUN
ejpam-6475	75	10	definition	definition	NOUN
ejpam-6475	75	11	:	:	PUNCT
ejpam-6475	75	12	1	1	X
ejpam-6475	75	13	.	.	X
ejpam-6475	75	14	mr	mr	ADJ
ejpam-6475	75	15	-	-	PUNCT
ejpam-6475	75	16	metric	metric	ADJ
ejpam-6475	75	17	component	component	NOUN
ejpam-6475	75	18	m	m	PROPN
ejpam-6475	75	19	(	(	PUNCT
ejpam-6475	75	20	m1	m1	NOUN
ejpam-6475	75	21	)	)	PUNCT
ejpam-6475	75	22	positivity	positivity	NOUN
ejpam-6475	75	23	:	:	PUNCT
ejpam-6475	75	24	by	by	ADP
ejpam-6475	75	25	definition	definition	NOUN
ejpam-6475	75	26	,	,	PUNCT
ejpam-6475	75	27	m(υ	m(υ	PROPN
ejpam-6475	75	28	,	,	PUNCT
ejpam-6475	75	29	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	75	30	)	)	PUNCT
ejpam-6475	75	31	∈	∈	PROPN
ejpam-6475	75	32	{	{	PUNCT
ejpam-6475	75	33	0	0	NUM
ejpam-6475	75	34	,	,	PUNCT
ejpam-6475	75	35	1	1	NUM
ejpam-6475	75	36	}	}	PUNCT
ejpam-6475	75	37	⊆	⊆	NUM
ejpam-6475	76	1	[	[	X
ejpam-6475	76	2	0,∞	0,∞	NOUN
ejpam-6475	76	3	)	)	PUNCT
ejpam-6475	76	4	.	.	PUNCT
ejpam-6475	77	1	(	(	PUNCT
ejpam-6475	77	2	m2	m2	NOUN
ejpam-6475	77	3	)	)	PUNCT
ejpam-6475	77	4	identity	identity	NOUN
ejpam-6475	77	5	:	:	PUNCT
ejpam-6475	77	6	m(υ	m(υ	PROPN
ejpam-6475	77	7	,	,	PUNCT
ejpam-6475	77	8	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	77	9	)	)	PUNCT
ejpam-6475	77	10	=	=	SYM
ejpam-6475	77	11	0	0	NUM
ejpam-6475	77	12	⇐	⇐	ADJ
ejpam-6475	77	13	⇒	⇒	NOUN
ejpam-6475	77	14	υ	υ	X
ejpam-6475	78	1	=	=	SYM
ejpam-6475	78	2	ξ	ξ	X
ejpam-6475	78	3	=	=	PUNCT
ejpam-6475	78	4	ℑ	ℑ	PROPN
ejpam-6475	78	5	holds	hold	VERB
ejpam-6475	78	6	by	by	ADP
ejpam-6475	78	7	construction	construction	NOUN
ejpam-6475	78	8	.	.	PUNCT
ejpam-6475	79	1	(	(	PUNCT
ejpam-6475	79	2	m3	m3	PROPN
ejpam-6475	79	3	)	)	PUNCT
ejpam-6475	79	4	symmetry	symmetry	NOUN
ejpam-6475	79	5	:	:	PUNCT
ejpam-6475	80	1	m	m	VERB
ejpam-6475	80	2	is	be	AUX
ejpam-6475	80	3	symmetric	symmetric	ADJ
ejpam-6475	80	4	in	in	ADP
ejpam-6475	80	5	all	all	DET
ejpam-6475	80	6	arguments	argument	NOUN
ejpam-6475	80	7	since	since	SCONJ
ejpam-6475	80	8	its	its	PRON
ejpam-6475	80	9	definition	definition	NOUN
ejpam-6475	80	10	depends	depend	VERB
ejpam-6475	80	11	only	only	ADV
ejpam-6475	80	12	on	on	ADP
ejpam-6475	80	13	the	the	DET
ejpam-6475	80	14	equality	equality	NOUN
ejpam-6475	80	15	of	of	ADP
ejpam-6475	80	16	υ	υ	NOUN
ejpam-6475	80	17	,	,	PUNCT
ejpam-6475	80	18	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	80	19	,	,	PUNCT
ejpam-6475	80	20	not	not	PART
ejpam-6475	80	21	their	their	PRON
ejpam-6475	80	22	order	order	NOUN
ejpam-6475	80	23	.	.	PUNCT
ejpam-6475	81	1	(	(	PUNCT
ejpam-6475	81	2	m4	m4	PROPN
ejpam-6475	81	3	)	)	PUNCT
ejpam-6475	81	4	mr	mr	PROPN
ejpam-6475	81	5	-	-	PUNCT
ejpam-6475	81	6	triangle	triangle	NOUN
ejpam-6475	81	7	inequality	inequality	NOUN
ejpam-6475	81	8	:	:	PUNCT
ejpam-6475	81	9	for	for	ADP
ejpam-6475	81	10	r	r	NOUN
ejpam-6475	81	11	=	=	SYM
ejpam-6475	81	12	2	2	NUM
ejpam-6475	81	13	and	and	CCONJ
ejpam-6475	81	14	⋆	⋆	NOUN
ejpam-6475	81	15	=	=	SYM
ejpam-6475	81	16	+	+	ADV
ejpam-6475	81	17	,	,	PUNCT
ejpam-6475	81	18	we	we	PRON
ejpam-6475	81	19	need	need	VERB
ejpam-6475	81	20	:	:	PUNCT
ejpam-6475	81	21	m(υ	m(υ	PROPN
ejpam-6475	81	22	,	,	PUNCT
ejpam-6475	81	23	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	81	24	)	)	PUNCT
ejpam-6475	81	25	≤	≤	NUM
ejpam-6475	81	26	2	2	NUM
ejpam-6475	82	1	[	[	X
ejpam-6475	82	2	m(υ	m(υ	PROPN
ejpam-6475	82	3	,	,	PUNCT
ejpam-6475	82	4	ξ	ξ	PROPN
ejpam-6475	82	5	,	,	PUNCT
ejpam-6475	82	6	ℓ	ℓ	INTJ
ejpam-6475	82	7	)	)	PUNCT
ejpam-6475	82	8	+	+	PROPN
ejpam-6475	82	9	m(υ	m(υ	PROPN
ejpam-6475	82	10	,	,	PUNCT
ejpam-6475	82	11	ℓ,ℑ	ℓ,ℑ	PROPN
ejpam-6475	82	12	)	)	PUNCT
ejpam-6475	83	1	+	+	SYM
ejpam-6475	83	2	m(ℓ	m(ℓ	NOUN
ejpam-6475	83	3	,	,	PUNCT
ejpam-6475	83	4	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	83	5	)	)	PUNCT
ejpam-6475	83	6	]	]	PUNCT
ejpam-6475	83	7	.	.	PUNCT
ejpam-6475	84	1	–	–	PUNCT
ejpam-6475	84	2	if	if	SCONJ
ejpam-6475	84	3	υ	υ	PROPN
ejpam-6475	84	4	=	=	SYM
ejpam-6475	84	5	ξ	ξ	PROPN
ejpam-6475	84	6	=	=	SYM
ejpam-6475	84	7	ℑ	ℑ	PROPN
ejpam-6475	84	8	,	,	PUNCT
ejpam-6475	84	9	then	then	ADV
ejpam-6475	84	10	m(υ	m(υ	PROPN
ejpam-6475	84	11	,	,	PUNCT
ejpam-6475	84	12	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	84	13	)	)	PUNCT
ejpam-6475	84	14	=	=	SYM
ejpam-6475	84	15	0	0	NUM
ejpam-6475	84	16	and	and	CCONJ
ejpam-6475	84	17	the	the	DET
ejpam-6475	84	18	inequality	inequality	NOUN
ejpam-6475	84	19	holds	hold	VERB
ejpam-6475	84	20	.	.	PUNCT
ejpam-6475	85	1	–	–	PUNCT
ejpam-6475	85	2	otherwise	otherwise	ADV
ejpam-6475	85	3	,	,	PUNCT
ejpam-6475	85	4	the	the	DET
ejpam-6475	85	5	right	right	ADJ
ejpam-6475	85	6	-	-	PUNCT
ejpam-6475	85	7	hand	hand	NOUN
ejpam-6475	85	8	side	side	NOUN
ejpam-6475	85	9	is	be	AUX
ejpam-6475	85	10	at	at	ADV
ejpam-6475	85	11	least	least	ADJ
ejpam-6475	85	12	2	2	NUM
ejpam-6475	85	13	×	×	NOUN
ejpam-6475	85	14	1	1	NUM
ejpam-6475	85	15	=	=	SYM
ejpam-6475	85	16	2	2	NUM
ejpam-6475	85	17	(	(	PUNCT
ejpam-6475	85	18	since	since	SCONJ
ejpam-6475	85	19	at	at	ADV
ejpam-6475	85	20	least	least	ADV
ejpam-6475	85	21	one	one	NUM
ejpam-6475	85	22	term	term	NOUN
ejpam-6475	85	23	m	m	PROPN
ejpam-6475	85	24	(	(	PUNCT
ejpam-6475	85	25	·	·	PUNCT
ejpam-6475	85	26	,	,	PUNCT
ejpam-6475	85	27	·	·	PUNCT
ejpam-6475	85	28	,	,	PUNCT
ejpam-6475	85	29	·	·	PUNCT
ejpam-6475	85	30	)	)	PUNCT
ejpam-6475	86	1	=	=	SYM
ejpam-6475	86	2	1	1	NUM
ejpam-6475	86	3	)	)	PUNCT
ejpam-6475	86	4	,	,	PUNCT
ejpam-6475	86	5	while	while	SCONJ
ejpam-6475	86	6	the	the	DET
ejpam-6475	86	7	left	leave	VERB
ejpam-6475	86	8	-	-	PUNCT
ejpam-6475	86	9	hand	hand	NOUN
ejpam-6475	86	10	side	side	NOUN
ejpam-6475	86	11	is	be	AUX
ejpam-6475	86	12	1	1	NUM
ejpam-6475	86	13	≤	≤	NUM
ejpam-6475	86	14	2	2	NUM
ejpam-6475	86	15	.	.	PUNCT
ejpam-6475	86	16	a.	a.	NOUN
ejpam-6475	86	17	malkawi	malkawi	PROPN
ejpam-6475	86	18	/	/	SYM
ejpam-6475	86	19	eur	eur	PROPN
ejpam-6475	86	20	.	.	PUNCT
ejpam-6475	87	1	j.	j.	PROPN
ejpam-6475	87	2	pure	pure	PROPN
ejpam-6475	87	3	appl	appl	PROPN
ejpam-6475	87	4	.	.	PROPN
ejpam-6475	87	5	math	math	PROPN
ejpam-6475	87	6	,	,	PUNCT
ejpam-6475	87	7	18	18	NUM
ejpam-6475	87	8	(	(	PUNCT
ejpam-6475	87	9	3	3	NUM
ejpam-6475	87	10	)	)	PUNCT
ejpam-6475	87	11	(	(	PUNCT
ejpam-6475	87	12	2025	2025	NUM
ejpam-6475	87	13	)	)	PUNCT
ejpam-6475	87	14	,	,	PUNCT
ejpam-6475	87	15	6475	6475	NUM
ejpam-6475	87	16	5	5	NUM
ejpam-6475	87	17	of	of	ADP
ejpam-6475	87	18	20	20	NUM
ejpam-6475	87	19	2	2	NUM
ejpam-6475	87	20	.	.	NUM
ejpam-6475	87	21	neutrosophic	neutrosophic	ADJ
ejpam-6475	87	22	component	component	NOUN
ejpam-6475	87	23	(	(	PUNCT
ejpam-6475	87	24	t	t	PROPN
ejpam-6475	87	25	,	,	PUNCT
ejpam-6475	87	26	f	f	PROPN
ejpam-6475	87	27	,	,	PUNCT
ejpam-6475	87	28	i	i	PROPN
ejpam-6475	87	29	)	)	PUNCT
ejpam-6475	87	30	(	(	PUNCT
ejpam-6475	87	31	n1	n1	PROPN
ejpam-6475	87	32	–	–	PUNCT
ejpam-6475	87	33	n4	n4	PROPN
ejpam-6475	87	34	)	)	PUNCT
ejpam-6475	87	35	truth	truth	NOUN
ejpam-6475	87	36	(	(	PUNCT
ejpam-6475	87	37	t	t	NOUN
ejpam-6475	87	38	):	):	PUNCT
ejpam-6475	87	39	inherited	inherit	VERB
ejpam-6475	87	40	directly	directly	ADV
ejpam-6475	87	41	from	from	ADP
ejpam-6475	87	42	the	the	DET
ejpam-6475	87	43	fms	fms	PROPN
ejpam-6475	87	44	:	:	PUNCT
ejpam-6475	87	45	–	–	PUNCT
ejpam-6475	87	46	(	(	PUNCT
ejpam-6475	87	47	n1	n1	NOUN
ejpam-6475	87	48	)	)	PUNCT
ejpam-6475	87	49	t	t	NOUN
ejpam-6475	87	50	(	(	PUNCT
ejpam-6475	87	51	υ	υ	PROPN
ejpam-6475	87	52	,	,	PUNCT
ejpam-6475	87	53	ξ	ξ	PROPN
ejpam-6475	87	54	,	,	PUNCT
ejpam-6475	87	55	γ	γ	NOUN
ejpam-6475	87	56	)	)	PUNCT
ejpam-6475	87	57	=	=	SYM
ejpam-6475	87	58	1	1	NUM
ejpam-6475	87	59	⇐	⇐	ADJ
ejpam-6475	87	60	⇒	⇒	NOUN
ejpam-6475	87	61	υ	υ	X
ejpam-6475	87	62	=	=	SYM
ejpam-6475	87	63	ξ	ξ	PROPN
ejpam-6475	87	64	(	(	PUNCT
ejpam-6475	87	65	fms	fms	PROPN
ejpam-6475	87	66	axiom	axiom	NOUN
ejpam-6475	87	67	)	)	PUNCT
ejpam-6475	87	68	.	.	PUNCT
ejpam-6475	88	1	–	–	PUNCT
ejpam-6475	88	2	(	(	PUNCT
ejpam-6475	88	3	n2	n2	NOUN
ejpam-6475	88	4	)	)	PUNCT
ejpam-6475	88	5	symmetry	symmetry	NOUN
ejpam-6475	88	6	holds	hold	VERB
ejpam-6475	88	7	as	as	ADP
ejpam-6475	88	8	t	t	PROPN
ejpam-6475	88	9	(	(	PUNCT
ejpam-6475	88	10	υ	υ	PROPN
ejpam-6475	88	11	,	,	PUNCT
ejpam-6475	88	12	ξ	ξ	PROPN
ejpam-6475	88	13	,	,	PUNCT
ejpam-6475	88	14	γ	γ	NOUN
ejpam-6475	88	15	)	)	PUNCT
ejpam-6475	88	16	=	=	SYM
ejpam-6475	88	17	t	t	PROPN
ejpam-6475	88	18	(	(	PUNCT
ejpam-6475	88	19	ξ	ξ	PROPN
ejpam-6475	88	20	,	,	PUNCT
ejpam-6475	88	21	υ	υ	PROPN
ejpam-6475	88	22	,	,	PUNCT
ejpam-6475	88	23	γ	γ	NOUN
ejpam-6475	88	24	)	)	PUNCT
ejpam-6475	88	25	in	in	ADP
ejpam-6475	88	26	fms	fms	PROPN
ejpam-6475	88	27	.	.	PUNCT
ejpam-6475	89	1	–	–	PUNCT
ejpam-6475	89	2	(	(	PUNCT
ejpam-6475	89	3	n3	n3	NOUN
ejpam-6475	89	4	)	)	PUNCT
ejpam-6475	89	5	the	the	DET
ejpam-6475	89	6	triangle	triangle	NOUN
ejpam-6475	89	7	inequality	inequality	NOUN
ejpam-6475	89	8	t	t	PROPN
ejpam-6475	89	9	(	(	PUNCT
ejpam-6475	89	10	υ	υ	PROPN
ejpam-6475	89	11	,	,	PUNCT
ejpam-6475	89	12	ξ	ξ	PROPN
ejpam-6475	89	13	,	,	PUNCT
ejpam-6475	89	14	γ	γ	NOUN
ejpam-6475	89	15	)	)	PUNCT
ejpam-6475	89	16	∗	∗	NOUN
ejpam-6475	89	17	t	t	NOUN
ejpam-6475	89	18	(	(	PUNCT
ejpam-6475	89	19	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	89	20	,	,	PUNCT
ejpam-6475	89	21	ρ	ρ	NOUN
ejpam-6475	89	22	)	)	PUNCT
ejpam-6475	89	23	≤	≤	NOUN
ejpam-6475	89	24	t	t	NOUN
ejpam-6475	89	25	(	(	PUNCT
ejpam-6475	89	26	υ,ℑ	υ,ℑ	PROPN
ejpam-6475	89	27	,	,	PUNCT
ejpam-6475	89	28	γ	γ	PROPN
ejpam-6475	89	29	+	+	NOUN
ejpam-6475	89	30	ρ	ρ	PROPN
ejpam-6475	89	31	)	)	PUNCT
ejpam-6475	89	32	is	be	AUX
ejpam-6475	89	33	the	the	DET
ejpam-6475	89	34	fms	fms	PROPN
ejpam-6475	89	35	condition	condition	NOUN
ejpam-6475	89	36	(	(	PUNCT
ejpam-6475	89	37	since	since	SCONJ
ejpam-6475	89	38	•	•	NUM
ejpam-6475	89	39	=	=	SYM
ejpam-6475	89	40	∗	∗	NOUN
ejpam-6475	89	41	)	)	PUNCT
ejpam-6475	89	42	.	.	PUNCT
ejpam-6475	90	1	–	–	PUNCT
ejpam-6475	90	2	(	(	PUNCT
ejpam-6475	90	3	n4	n4	PROPN
ejpam-6475	90	4	)	)	PUNCT
ejpam-6475	90	5	limγ→∞	limγ→∞	PROPN
ejpam-6475	90	6	t	t	NOUN
ejpam-6475	90	7	(	(	PUNCT
ejpam-6475	90	8	υ	υ	PROPN
ejpam-6475	90	9	,	,	PUNCT
ejpam-6475	90	10	ξ	ξ	PROPN
ejpam-6475	90	11	,	,	PUNCT
ejpam-6475	90	12	γ	γ	NOUN
ejpam-6475	90	13	)	)	PUNCT
ejpam-6475	90	14	=	=	SYM
ejpam-6475	90	15	1	1	NUM
ejpam-6475	90	16	by	by	ADP
ejpam-6475	90	17	fms	fms	PROPN
ejpam-6475	90	18	definition	definition	NOUN
ejpam-6475	90	19	.	.	PUNCT
ejpam-6475	91	1	(	(	PUNCT
ejpam-6475	91	2	n5	n5	PROPN
ejpam-6475	91	3	–	–	PUNCT
ejpam-6475	91	4	n8	n8	NOUN
ejpam-6475	91	5	)	)	PUNCT
ejpam-6475	91	6	falsity	falsity	NOUN
ejpam-6475	91	7	(	(	PUNCT
ejpam-6475	91	8	f	f	NOUN
ejpam-6475	91	9	)	)	PUNCT
ejpam-6475	91	10	and	and	CCONJ
ejpam-6475	91	11	indeterminacy	indeterminacy	NOUN
ejpam-6475	91	12	(	(	PUNCT
ejpam-6475	91	13	i	i	NOUN
ejpam-6475	91	14	):	):	PUNCT
ejpam-6475	91	15	–	–	PUNCT
ejpam-6475	91	16	f(υ	f(υ	PROPN
ejpam-6475	91	17	,	,	PUNCT
ejpam-6475	91	18	ξ	ξ	PROPN
ejpam-6475	91	19	,	,	PUNCT
ejpam-6475	91	20	γ	γ	NOUN
ejpam-6475	91	21	)	)	PUNCT
ejpam-6475	91	22	=	=	SYM
ejpam-6475	91	23	1−	1−	NUM
ejpam-6475	91	24	t	t	PROPN
ejpam-6475	91	25	(	(	PUNCT
ejpam-6475	91	26	υ	υ	PROPN
ejpam-6475	91	27	,	,	PUNCT
ejpam-6475	91	28	ξ	ξ	PROPN
ejpam-6475	91	29	,	,	PUNCT
ejpam-6475	91	30	γ	γ	NOUN
ejpam-6475	91	31	)	)	PUNCT
ejpam-6475	91	32	satisfies	satisfie	NOUN
ejpam-6475	91	33	:	:	PUNCT
ejpam-6475	91	34	∗	∗	NOUN
ejpam-6475	91	35	(	(	PUNCT
ejpam-6475	91	36	n5	n5	PROPN
ejpam-6475	91	37	)	)	PUNCT
ejpam-6475	91	38	f(υ	f(υ	PROPN
ejpam-6475	91	39	,	,	PUNCT
ejpam-6475	91	40	ξ	ξ	PROPN
ejpam-6475	91	41	,	,	PUNCT
ejpam-6475	91	42	γ	γ	NOUN
ejpam-6475	91	43	)	)	PUNCT
ejpam-6475	91	44	=	=	SYM
ejpam-6475	91	45	0	0	NUM
ejpam-6475	92	1	⇐	⇐	ADJ
ejpam-6475	92	2	⇒	⇒	NOUN
ejpam-6475	92	3	υ	υ	X
ejpam-6475	92	4	=	=	SYM
ejpam-6475	92	5	ξ	ξ	PROPN
ejpam-6475	92	6	(	(	PUNCT
ejpam-6475	92	7	from	from	ADP
ejpam-6475	92	8	n1	n1	NOUN
ejpam-6475	92	9	)	)	PUNCT
ejpam-6475	92	10	.	.	PUNCT
ejpam-6475	93	1	∗	∗	NOUN
ejpam-6475	93	2	(	(	PUNCT
ejpam-6475	93	3	n6	n6	PROPN
ejpam-6475	93	4	)	)	PUNCT
ejpam-6475	93	5	symmetry	symmetry	NOUN
ejpam-6475	93	6	via	via	ADP
ejpam-6475	93	7	t	t	PROPN
ejpam-6475	93	8	’s	’s	PART
ejpam-6475	93	9	symmetry	symmetry	NOUN
ejpam-6475	93	10	.	.	PUNCT
ejpam-6475	94	1	∗	∗	NOUN
ejpam-6475	94	2	(	(	PUNCT
ejpam-6475	94	3	n7	n7	PROPN
ejpam-6475	94	4	)	)	PUNCT
ejpam-6475	94	5	f(υ	f(υ	PROPN
ejpam-6475	94	6	,	,	PUNCT
ejpam-6475	94	7	ξ	ξ	PROPN
ejpam-6475	94	8	,	,	PUNCT
ejpam-6475	94	9	γ	γ	NOUN
ejpam-6475	94	10	)	)	PUNCT
ejpam-6475	94	11	⋄	⋄	PROPN
ejpam-6475	94	12	f(ξ,ℑ	f(ξ,ℑ	NUM
ejpam-6475	94	13	,	,	PUNCT
ejpam-6475	94	14	ρ	ρ	PROPN
ejpam-6475	94	15	)	)	PUNCT
ejpam-6475	94	16	≥	≥	PROPN
ejpam-6475	94	17	f(υ,ℑ	f(υ,ℑ	PROPN
ejpam-6475	94	18	,	,	PUNCT
ejpam-6475	94	19	γ	γ	PROPN
ejpam-6475	94	20	+	+	PROPN
ejpam-6475	94	21	ρ	ρ	PROPN
ejpam-6475	94	22	)	)	PUNCT
ejpam-6475	94	23	where	where	SCONJ
ejpam-6475	94	24	⋄	⋄	NOUN
ejpam-6475	94	25	=	=	SYM
ejpam-6475	94	26	max	max	PROPN
ejpam-6475	94	27	:	:	PUNCT
ejpam-6475	94	28	max(1−	max(1−	PROPN
ejpam-6475	94	29	t	t	PROPN
ejpam-6475	94	30	(	(	PUNCT
ejpam-6475	94	31	υ	υ	PROPN
ejpam-6475	94	32	,	,	PUNCT
ejpam-6475	94	33	ξ	ξ	PROPN
ejpam-6475	94	34	,	,	PUNCT
ejpam-6475	94	35	γ	γ	NOUN
ejpam-6475	94	36	)	)	PUNCT
ejpam-6475	94	37	,	,	PUNCT
ejpam-6475	94	38	1−	1−	NUM
ejpam-6475	94	39	t	t	PROPN
ejpam-6475	94	40	(	(	PUNCT
ejpam-6475	94	41	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	94	42	,	,	PUNCT
ejpam-6475	94	43	ρ	ρ	NOUN
ejpam-6475	94	44	)	)	PUNCT
ejpam-6475	94	45	)	)	PUNCT
ejpam-6475	94	46	≥	≥	NOUN
ejpam-6475	94	47	1−	1−	NUM
ejpam-6475	94	48	t	t	PROPN
ejpam-6475	94	49	(	(	PUNCT
ejpam-6475	94	50	υ,ℑ	υ,ℑ	PROPN
ejpam-6475	94	51	,	,	PUNCT
ejpam-6475	94	52	γ	γ	X
ejpam-6475	94	53	+	+	NOUN
ejpam-6475	94	54	ρ	ρ	PROPN
ejpam-6475	94	55	)	)	PUNCT
ejpam-6475	94	56	,	,	PUNCT
ejpam-6475	94	57	which	which	PRON
ejpam-6475	94	58	follows	follow	VERB
ejpam-6475	94	59	from	from	ADP
ejpam-6475	94	60	(	(	PUNCT
ejpam-6475	94	61	n3	n3	NOUN
ejpam-6475	94	62	)	)	PUNCT
ejpam-6475	94	63	in	in	ADP
ejpam-6475	94	64	fms	fms	PROPN
ejpam-6475	94	65	.	.	PUNCT
ejpam-6475	95	1	∗	∗	NOUN
ejpam-6475	95	2	(	(	PUNCT
ejpam-6475	95	3	n8	n8	PROPN
ejpam-6475	95	4	)	)	PUNCT
ejpam-6475	95	5	limγ→∞f(υ	limγ→∞f(υ	PROPN
ejpam-6475	95	6	,	,	PUNCT
ejpam-6475	95	7	ξ	ξ	PROPN
ejpam-6475	95	8	,	,	PUNCT
ejpam-6475	95	9	γ	γ	NOUN
ejpam-6475	95	10	)	)	PUNCT
ejpam-6475	95	11	=	=	SYM
ejpam-6475	95	12	0	0	NUM
ejpam-6475	95	13	since	since	SCONJ
ejpam-6475	95	14	t	t	PROPN
ejpam-6475	95	15	→	→	SYM
ejpam-6475	95	16	1	1	NUM
ejpam-6475	95	17	.	.	X
ejpam-6475	95	18	–	–	PUNCT
ejpam-6475	95	19	i(υ	i(υ	NOUN
ejpam-6475	95	20	,	,	PUNCT
ejpam-6475	95	21	ξ	ξ	PROPN
ejpam-6475	95	22	,	,	PUNCT
ejpam-6475	95	23	γ	γ	NOUN
ejpam-6475	95	24	)	)	PUNCT
ejpam-6475	95	25	=	=	SYM
ejpam-6475	95	26	0	0	NUM
ejpam-6475	95	27	trivially	trivially	ADV
ejpam-6475	95	28	satisfies	satisfy	VERB
ejpam-6475	95	29	all	all	DET
ejpam-6475	95	30	neutrosophic	neutrosophic	ADJ
ejpam-6475	95	31	axioms	axiom	NOUN
ejpam-6475	95	32	.	.	PUNCT
ejpam-6475	96	1	3	3	X
ejpam-6475	96	2	.	.	X
ejpam-6475	96	3	compatibility	compatibility	NOUN
ejpam-6475	96	4	conditions	condition	NOUN
ejpam-6475	96	5	(	(	PUNCT
ejpam-6475	96	6	c1	c1	NOUN
ejpam-6475	96	7	)	)	PUNCT
ejpam-6475	96	8	metric	metric	ADJ
ejpam-6475	96	9	-	-	PUNCT
ejpam-6475	96	10	neutrosophic	neutrosophic	ADJ
ejpam-6475	96	11	link	link	NOUN
ejpam-6475	96	12	:	:	PUNCT
ejpam-6475	96	13	–	–	PUNCT
ejpam-6475	96	14	t	t	NOUN
ejpam-6475	96	15	(	(	PUNCT
ejpam-6475	96	16	υ	υ	PROPN
ejpam-6475	96	17	,	,	PUNCT
ejpam-6475	96	18	ξ	ξ	PROPN
ejpam-6475	96	19	,	,	PUNCT
ejpam-6475	96	20	γ	γ	NOUN
ejpam-6475	96	21	)	)	PUNCT
ejpam-6475	96	22	≥	≥	NOUN
ejpam-6475	96	23	1	1	NUM
ejpam-6475	96	24	1+m(υ	1+m(υ	ADJ
ejpam-6475	96	25	,	,	PUNCT
ejpam-6475	96	26	ξ	ξ	PROPN
ejpam-6475	96	27	,	,	PUNCT
ejpam-6475	96	28	ξ	ξ	NOUN
ejpam-6475	96	29	)	)	PUNCT
ejpam-6475	96	30	:	:	PUNCT
ejpam-6475	96	31	∗	∗	NOUN
ejpam-6475	97	1	if	if	SCONJ
ejpam-6475	97	2	υ	υ	PROPN
ejpam-6475	97	3	=	=	SYM
ejpam-6475	97	4	ξ	ξ	PROPN
ejpam-6475	97	5	,	,	PUNCT
ejpam-6475	97	6	m(υ	m(υ	PROPN
ejpam-6475	97	7	,	,	PUNCT
ejpam-6475	97	8	ξ	ξ	PROPN
ejpam-6475	97	9	,	,	PUNCT
ejpam-6475	97	10	ξ	ξ	NOUN
ejpam-6475	97	11	)	)	PUNCT
ejpam-6475	97	12	=	=	SYM
ejpam-6475	97	13	0	0	NUM
ejpam-6475	97	14	and	and	CCONJ
ejpam-6475	97	15	t	t	PROPN
ejpam-6475	97	16	(	(	PUNCT
ejpam-6475	97	17	υ	υ	PROPN
ejpam-6475	97	18	,	,	PUNCT
ejpam-6475	97	19	ξ	ξ	PROPN
ejpam-6475	97	20	,	,	PUNCT
ejpam-6475	97	21	γ	γ	NOUN
ejpam-6475	97	22	)	)	PUNCT
ejpam-6475	97	23	=	=	SYM
ejpam-6475	97	24	1	1	NUM
ejpam-6475	97	25	≥	≥	NUM
ejpam-6475	97	26	1	1	NUM
ejpam-6475	97	27	.	.	PUNCT
ejpam-6475	97	28	∗	∗	NOUN
ejpam-6475	97	29	if	if	SCONJ
ejpam-6475	97	30	υ	υ	PRON
ejpam-6475	97	31	̸=	̸=	PROPN
ejpam-6475	97	32	ξ	ξ	PROPN
ejpam-6475	97	33	,	,	PUNCT
ejpam-6475	97	34	m(υ	m(υ	PROPN
ejpam-6475	97	35	,	,	PUNCT
ejpam-6475	97	36	ξ	ξ	PROPN
ejpam-6475	97	37	,	,	PUNCT
ejpam-6475	97	38	ξ	ξ	X
ejpam-6475	97	39	)	)	PUNCT
ejpam-6475	97	40	=	=	SYM
ejpam-6475	97	41	1	1	NUM
ejpam-6475	97	42	,	,	PUNCT
ejpam-6475	97	43	so	so	ADV
ejpam-6475	97	44	1	1	NUM
ejpam-6475	97	45	2	2	NUM
ejpam-6475	97	46	≤	≤	NOUN
ejpam-6475	97	47	t	t	NOUN
ejpam-6475	97	48	(	(	PUNCT
ejpam-6475	97	49	υ	υ	PROPN
ejpam-6475	97	50	,	,	PUNCT
ejpam-6475	97	51	ξ	ξ	PROPN
ejpam-6475	97	52	,	,	PUNCT
ejpam-6475	97	53	γ	γ	NOUN
ejpam-6475	97	54	)	)	PUNCT
ejpam-6475	97	55	≤	≤	NUM
ejpam-6475	97	56	1	1	NUM
ejpam-6475	97	57	(	(	PUNCT
ejpam-6475	97	58	since	since	SCONJ
ejpam-6475	97	59	t	t	PROPN
ejpam-6475	97	60	>	>	X
ejpam-6475	97	61	0	0	PUNCT
ejpam-6475	98	1	in	in	ADP
ejpam-6475	98	2	fms	fms	PROPN
ejpam-6475	98	3	)	)	PUNCT
ejpam-6475	98	4	.	.	PUNCT
ejpam-6475	99	1	–	–	PUNCT
ejpam-6475	99	2	f(υ	f(υ	PROPN
ejpam-6475	99	3	,	,	PUNCT
ejpam-6475	99	4	ξ	ξ	PROPN
ejpam-6475	99	5	,	,	PUNCT
ejpam-6475	99	6	γ	γ	NOUN
ejpam-6475	99	7	)	)	PUNCT
ejpam-6475	99	8	≤	≤	NOUN
ejpam-6475	100	1	m(υ	m(υ	PROPN
ejpam-6475	100	2	,	,	PUNCT
ejpam-6475	100	3	ξ	ξ	PROPN
ejpam-6475	100	4	,	,	PUNCT
ejpam-6475	100	5	ξ	ξ	NOUN
ejpam-6475	100	6	)	)	PUNCT
ejpam-6475	100	7	1+m(υ	1+m(υ	ADJ
ejpam-6475	100	8	,	,	PUNCT
ejpam-6475	100	9	ξ	ξ	PROPN
ejpam-6475	100	10	,	,	PUNCT
ejpam-6475	100	11	ξ	ξ	NOUN
ejpam-6475	100	12	)	)	PUNCT
ejpam-6475	100	13	:	:	PUNCT
ejpam-6475	100	14	∗	∗	NOUN
ejpam-6475	101	1	if	if	SCONJ
ejpam-6475	101	2	υ	υ	PROPN
ejpam-6475	101	3	=	=	SYM
ejpam-6475	101	4	ξ	ξ	PROPN
ejpam-6475	101	5	,	,	PUNCT
ejpam-6475	101	6	m	m	VERB
ejpam-6475	101	7	=	=	NOUN
ejpam-6475	101	8	0	0	NUM
ejpam-6475	101	9	and	and	CCONJ
ejpam-6475	101	10	f	f	X
ejpam-6475	101	11	=	=	SYM
ejpam-6475	101	12	0	0	NUM
ejpam-6475	101	13	≤	≤	NUM
ejpam-6475	101	14	0	0	NUM
ejpam-6475	101	15	.	.	PUNCT
ejpam-6475	102	1	∗	∗	NOUN
ejpam-6475	102	2	if	if	SCONJ
ejpam-6475	102	3	υ	υ	PRON
ejpam-6475	102	4	̸=	̸=	PROPN
ejpam-6475	102	5	ξ	ξ	PROPN
ejpam-6475	102	6	,	,	PUNCT
ejpam-6475	102	7	m	m	VERB
ejpam-6475	102	8	=	=	NOUN
ejpam-6475	102	9	1	1	NUM
ejpam-6475	102	10	and	and	CCONJ
ejpam-6475	102	11	f	f	NOUN
ejpam-6475	102	12	=	=	SYM
ejpam-6475	102	13	1−	1−	NUM
ejpam-6475	102	14	t	t	PROPN
ejpam-6475	102	15	(	(	PUNCT
ejpam-6475	102	16	υ	υ	PROPN
ejpam-6475	102	17	,	,	PUNCT
ejpam-6475	102	18	ξ	ξ	PROPN
ejpam-6475	102	19	,	,	PUNCT
ejpam-6475	102	20	γ	γ	NOUN
ejpam-6475	102	21	)	)	PUNCT
ejpam-6475	102	22	≤	≤	NUM
ejpam-6475	102	23	1	1	NUM
ejpam-6475	102	24	2	2	NUM
ejpam-6475	102	25	(	(	PUNCT
ejpam-6475	102	26	since	since	SCONJ
ejpam-6475	102	27	t	t	PROPN
ejpam-6475	102	28	≥	≥	NUM
ejpam-6475	102	29	1	1	NUM
ejpam-6475	102	30	2	2	NUM
ejpam-6475	102	31	as	as	ADP
ejpam-6475	102	32	above	above	ADJ
ejpam-6475	102	33	)	)	PUNCT
ejpam-6475	102	34	.	.	PUNCT
ejpam-6475	103	1	(	(	PUNCT
ejpam-6475	103	2	c2	c2	PROPN
ejpam-6475	103	3	)	)	PUNCT
ejpam-6475	103	4	consistency	consistency	NOUN
ejpam-6475	103	5	of	of	ADP
ejpam-6475	103	6	operations	operation	NOUN
ejpam-6475	103	7	:	:	PUNCT
ejpam-6475	103	8	(	(	PUNCT
ejpam-6475	103	9	a	a	DET
ejpam-6475	103	10	⋆	⋆	NOUN
ejpam-6475	103	11	b	b	NOUN
ejpam-6475	103	12	)	)	PUNCT
ejpam-6475	103	13	•	•	NUM
ejpam-6475	103	14	c	c	NOUN
ejpam-6475	103	15	=	=	SYM
ejpam-6475	103	16	(	(	PUNCT
ejpam-6475	103	17	a+	a+	NOUN
ejpam-6475	103	18	b	b	NOUN
ejpam-6475	103	19	)	)	PUNCT
ejpam-6475	103	20	∗	∗	NOUN
ejpam-6475	103	21	c	c	NOUN
ejpam-6475	103	22	≤	≤	NUM
ejpam-6475	103	23	(	(	PUNCT
ejpam-6475	103	24	a	a	DET
ejpam-6475	103	25	∗	∗	NOUN
ejpam-6475	103	26	c	c	NOUN
ejpam-6475	103	27	)	)	PUNCT
ejpam-6475	104	1	+	+	CCONJ
ejpam-6475	104	2	(	(	PUNCT
ejpam-6475	104	3	b	b	NOUN
ejpam-6475	104	4	∗	∗	NOUN
ejpam-6475	104	5	c	c	NOUN
ejpam-6475	104	6	)	)	PUNCT
ejpam-6475	104	7	=	=	NOUN
ejpam-6475	104	8	(	(	PUNCT
ejpam-6475	104	9	a	a	DET
ejpam-6475	104	10	•	•	NUM
ejpam-6475	104	11	c	c	NOUN
ejpam-6475	104	12	)	)	PUNCT
ejpam-6475	104	13	⋆	⋆	NOUN
ejpam-6475	104	14	(	(	PUNCT
ejpam-6475	104	15	b	b	NOUN
ejpam-6475	104	16	•	•	NUM
ejpam-6475	104	17	c	c	NOUN
ejpam-6475	104	18	)	)	PUNCT
ejpam-6475	104	19	,	,	PUNCT
ejpam-6475	104	20	holds	hold	VERB
ejpam-6475	104	21	because	because	SCONJ
ejpam-6475	104	22	t	t	NOUN
ejpam-6475	104	23	-	-	PUNCT
ejpam-6475	104	24	norms	norm	NOUN
ejpam-6475	104	25	are	be	AUX
ejpam-6475	104	26	subadditive	subadditive	ADJ
ejpam-6475	104	27	(	(	PUNCT
ejpam-6475	104	28	e.g.	e.g.	ADV
ejpam-6475	104	29	,	,	PUNCT
ejpam-6475	104	30	∗	∗	NOUN
ejpam-6475	104	31	=	=	SYM
ejpam-6475	104	32	min	min	NOUN
ejpam-6475	104	33	or	or	CCONJ
ejpam-6475	104	34	product	product	NOUN
ejpam-6475	104	35	)	)	PUNCT
ejpam-6475	104	36	.	.	PUNCT
ejpam-6475	105	1	a.	a.	NOUN
ejpam-6475	105	2	malkawi	malkawi	ADP
ejpam-6475	105	3	/	/	SYM
ejpam-6475	105	4	eur	eur	PROPN
ejpam-6475	105	5	.	.	PUNCT
ejpam-6475	106	1	j.	j.	PROPN
ejpam-6475	106	2	pure	pure	PROPN
ejpam-6475	106	3	appl	appl	PROPN
ejpam-6475	106	4	.	.	PROPN
ejpam-6475	106	5	math	math	PROPN
ejpam-6475	106	6	,	,	PUNCT
ejpam-6475	106	7	18	18	NUM
ejpam-6475	106	8	(	(	PUNCT
ejpam-6475	106	9	3	3	NUM
ejpam-6475	106	10	)	)	PUNCT
ejpam-6475	106	11	(	(	PUNCT
ejpam-6475	106	12	2025	2025	NUM
ejpam-6475	106	13	)	)	PUNCT
ejpam-6475	106	14	,	,	PUNCT
ejpam-6475	106	15	6475	6475	NUM
ejpam-6475	106	16	6	6	NUM
ejpam-6475	106	17	of	of	ADP
ejpam-6475	106	18	20	20	NUM
ejpam-6475	106	19	4	4	NUM
ejpam-6475	106	20	.	.	PUNCT
ejpam-6475	107	1	operations	operation	NOUN
ejpam-6475	107	2	•	•	ADV
ejpam-6475	107	3	•	•	NOUN
ejpam-6475	107	4	=	=	SYM
ejpam-6475	107	5	∗	∗	NOUN
ejpam-6475	107	6	(	(	PUNCT
ejpam-6475	107	7	t	t	NOUN
ejpam-6475	107	8	-	-	PUNCT
ejpam-6475	107	9	norm	norm	NOUN
ejpam-6475	107	10	from	from	ADP
ejpam-6475	107	11	fms	fms	PROPN
ejpam-6475	107	12	)	)	PUNCT
ejpam-6475	107	13	is	be	AUX
ejpam-6475	107	14	continuous	continuous	ADJ
ejpam-6475	107	15	by	by	ADP
ejpam-6475	107	16	fms	fms	PROPN
ejpam-6475	107	17	definition	definition	NOUN
ejpam-6475	107	18	.	.	PUNCT
ejpam-6475	108	1	•	•	NUM
ejpam-6475	108	2	⋄	⋄	NOUN
ejpam-6475	108	3	=	=	PUNCT
ejpam-6475	108	4	max	max	PROPN
ejpam-6475	108	5	is	be	AUX
ejpam-6475	108	6	a	a	DET
ejpam-6475	108	7	continuous	continuous	ADJ
ejpam-6475	108	8	t	t	NOUN
ejpam-6475	108	9	-	-	PUNCT
ejpam-6475	108	10	conorm	conorm	NOUN
ejpam-6475	108	11	.	.	PUNCT
ejpam-6475	109	1	•	•	NUM
ejpam-6475	109	2	⋆	⋆	X
ejpam-6475	109	3	=	=	SYM
ejpam-6475	110	1	+	+	CCONJ
ejpam-6475	110	2	is	be	AUX
ejpam-6475	110	3	associative	associative	ADJ
ejpam-6475	110	4	,	,	PUNCT
ejpam-6475	110	5	commutative	commutative	ADJ
ejpam-6475	110	6	,	,	PUNCT
ejpam-6475	110	7	and	and	CCONJ
ejpam-6475	110	8	generalizes	generalize	VERB
ejpam-6475	110	9	addition	addition	NOUN
ejpam-6475	110	10	.	.	PUNCT
ejpam-6475	111	1	thus	thus	ADV
ejpam-6475	111	2	,	,	PUNCT
ejpam-6475	111	3	all	all	DET
ejpam-6475	111	4	nmr	nmr	NOUN
ejpam-6475	111	5	-	-	PUNCT
ejpam-6475	111	6	ms	ms	NOUN
ejpam-6475	111	7	axioms	axiom	NOUN
ejpam-6475	111	8	are	be	AUX
ejpam-6475	111	9	satisfied	satisfied	ADJ
ejpam-6475	111	10	,	,	PUNCT
ejpam-6475	111	11	and	and	CCONJ
ejpam-6475	111	12	the	the	DET
ejpam-6475	111	13	embedding	embed	VERB
ejpam-6475	111	14	preserves	preserve	VERB
ejpam-6475	111	15	fms	fms	PROPN
ejpam-6475	111	16	properties	property	NOUN
ejpam-6475	111	17	.	.	PUNCT
ejpam-6475	112	1	theorem	theorem	ADJ
ejpam-6475	112	2	2	2	NUM
ejpam-6475	112	3	(	(	PUNCT
ejpam-6475	112	4	fixed	fix	VERB
ejpam-6475	112	5	point	point	NOUN
ejpam-6475	112	6	in	in	ADP
ejpam-6475	112	7	nmr	nmr	NOUN
ejpam-6475	112	8	-	-	PUNCT
ejpam-6475	112	9	ms	ms	NOUN
ejpam-6475	112	10	as	as	ADP
ejpam-6475	112	11	fuzzy	fuzzy	ADJ
ejpam-6475	112	12	extension	extension	NOUN
ejpam-6475	112	13	)	)	PUNCT
ejpam-6475	112	14	.	.	PUNCT
ejpam-6475	113	1	let	let	AUX
ejpam-6475	113	2	(	(	PUNCT
ejpam-6475	113	3	z	z	NOUN
ejpam-6475	113	4	,	,	PUNCT
ejpam-6475	113	5	m	m	PROPN
ejpam-6475	113	6	,	,	PUNCT
ejpam-6475	113	7	t	t	PROPN
ejpam-6475	113	8	,	,	PUNCT
ejpam-6475	113	9	f	f	PROPN
ejpam-6475	113	10	,	,	PUNCT
ejpam-6475	113	11	i	i	PRON
ejpam-6475	113	12	,	,	PUNCT
ejpam-6475	113	13	•	•	PROPN
ejpam-6475	113	14	,	,	PUNCT
ejpam-6475	113	15	⋄	⋄	PROPN
ejpam-6475	113	16	,	,	PUNCT
ejpam-6475	113	17	r	r	NOUN
ejpam-6475	113	18	,	,	PUNCT
ejpam-6475	113	19	⋆	⋆	CCONJ
ejpam-6475	113	20	)	)	PUNCT
ejpam-6475	113	21	be	be	AUX
ejpam-6475	113	22	a	a	DET
ejpam-6475	113	23	complete	complete	ADJ
ejpam-6475	113	24	neutrosophic	neutrosophic	ADJ
ejpam-6475	113	25	mr	mr	PROPN
ejpam-6475	113	26	-	-	PUNCT
ejpam-6475	113	27	metric	metric	ADJ
ejpam-6475	113	28	space	space	NOUN
ejpam-6475	113	29	with	with	ADP
ejpam-6475	113	30	•	•	NOUN
ejpam-6475	113	31	=	=	SYM
ejpam-6475	113	32	∗	∗	NOUN
ejpam-6475	113	33	(	(	PUNCT
ejpam-6475	113	34	the	the	DET
ejpam-6475	113	35	t	t	NOUN
ejpam-6475	113	36	-	-	PUNCT
ejpam-6475	113	37	norm	norm	NOUN
ejpam-6475	113	38	from	from	ADP
ejpam-6475	113	39	an	an	DET
ejpam-6475	113	40	underlying	underlie	VERB
ejpam-6475	113	41	fuzzy	fuzzy	ADJ
ejpam-6475	113	42	metric	metric	ADJ
ejpam-6475	113	43	space	space	NOUN
ejpam-6475	113	44	)	)	PUNCT
ejpam-6475	113	45	.	.	PUNCT
ejpam-6475	114	1	if	if	SCONJ
ejpam-6475	114	2	a	a	DET
ejpam-6475	114	3	mapping	mapping	NOUN
ejpam-6475	114	4	ψ	ψ	X
ejpam-6475	114	5	:	:	PUNCT
ejpam-6475	114	6	z	z	X
ejpam-6475	114	7	→	→	SYM
ejpam-6475	114	8	z	z	NOUN
ejpam-6475	114	9	satisfies	satisfie	NOUN
ejpam-6475	114	10	for	for	ADP
ejpam-6475	114	11	all	all	DET
ejpam-6475	114	12	υ	υ	PROPN
ejpam-6475	114	13	,	,	PUNCT
ejpam-6475	114	14	ξ	ξ	PROPN
ejpam-6475	114	15	∈	∈	PROPN
ejpam-6475	114	16	z	z	NOUN
ejpam-6475	114	17	and	and	CCONJ
ejpam-6475	114	18	γ	γ	X
ejpam-6475	114	19	>	>	X
ejpam-6475	114	20	0	0	NUM
ejpam-6475	114	21	:	:	PUNCT
ejpam-6475	114	22	t	t	PROPN
ejpam-6475	114	23	(	(	PUNCT
ejpam-6475	114	24	ψυ	ψυ	PROPN
ejpam-6475	114	25	,	,	PUNCT
ejpam-6475	114	26	ψξ	ψξ	NOUN
ejpam-6475	114	27	,	,	PUNCT
ejpam-6475	114	28	γ	γ	PROPN
ejpam-6475	114	29	)	)	PUNCT
ejpam-6475	114	30	≥	≥	NOUN
ejpam-6475	114	31	t	t	PROPN
ejpam-6475	114	32	(	(	PUNCT
ejpam-6475	114	33	υ	υ	PROPN
ejpam-6475	114	34	,	,	PUNCT
ejpam-6475	114	35	ξ	ξ	PROPN
ejpam-6475	114	36	,	,	PUNCT
ejpam-6475	114	37	γ	γ	X
ejpam-6475	114	38	/	/	SYM
ejpam-6475	114	39	k	k	NOUN
ejpam-6475	114	40	)	)	PUNCT
ejpam-6475	114	41	,	,	PUNCT
ejpam-6475	114	42	m(ψυ	m(ψυ	PROPN
ejpam-6475	114	43	,	,	PUNCT
ejpam-6475	114	44	ψξ	ψξ	NOUN
ejpam-6475	114	45	,	,	PUNCT
ejpam-6475	114	46	ψξ	ψξ	NOUN
ejpam-6475	114	47	)	)	PUNCT
ejpam-6475	114	48	≤	≤	NOUN
ejpam-6475	114	49	km(υ	km(υ	X
ejpam-6475	114	50	,	,	PUNCT
ejpam-6475	114	51	ξ	ξ	PROPN
ejpam-6475	114	52	,	,	PUNCT
ejpam-6475	114	53	ξ	ξ	NOUN
ejpam-6475	114	54	)	)	PUNCT
ejpam-6475	114	55	,	,	PUNCT
ejpam-6475	114	56	where	where	SCONJ
ejpam-6475	114	57	k	k	PROPN
ejpam-6475	114	58	∈	∈	PROPN
ejpam-6475	114	59	(	(	PUNCT
ejpam-6475	114	60	0	0	NUM
ejpam-6475	114	61	,	,	PUNCT
ejpam-6475	114	62	1	1	NUM
ejpam-6475	114	63	)	)	PUNCT
ejpam-6475	114	64	is	be	AUX
ejpam-6475	114	65	a	a	DET
ejpam-6475	114	66	contraction	contraction	NOUN
ejpam-6475	114	67	constant	constant	ADJ
ejpam-6475	114	68	,	,	PUNCT
ejpam-6475	114	69	then	then	ADV
ejpam-6475	114	70	ψ	ψ	X
ejpam-6475	114	71	has	have	VERB
ejpam-6475	114	72	a	a	DET
ejpam-6475	114	73	unique	unique	ADJ
ejpam-6475	114	74	fixed	fix	VERB
ejpam-6475	114	75	point	point	NOUN
ejpam-6475	114	76	in	in	ADP
ejpam-6475	114	77	z.	z.	PROPN
ejpam-6475	114	78	this	this	PRON
ejpam-6475	114	79	generalizes	generalize	VERB
ejpam-6475	114	80	the	the	DET
ejpam-6475	114	81	fuzzy	fuzzy	ADJ
ejpam-6475	114	82	banach	banach	NOUN
ejpam-6475	114	83	contraction	contraction	NOUN
ejpam-6475	114	84	principle	principle	NOUN
ejpam-6475	114	85	.	.	PUNCT
ejpam-6475	115	1	proof	proof	NOUN
ejpam-6475	115	2	.	.	PUNCT
ejpam-6475	116	1	we	we	PRON
ejpam-6475	116	2	proceed	proceed	VERB
ejpam-6475	116	3	in	in	ADP
ejpam-6475	116	4	four	four	NUM
ejpam-6475	116	5	steps	step	NOUN
ejpam-6475	116	6	:	:	PUNCT
ejpam-6475	116	7	(	(	PUNCT
ejpam-6475	116	8	1	1	X
ejpam-6475	116	9	)	)	PUNCT
ejpam-6475	116	10	constructing	construct	VERB
ejpam-6475	116	11	a	a	DET
ejpam-6475	116	12	cauchy	cauchy	ADJ
ejpam-6475	116	13	sequence	sequence	NOUN
ejpam-6475	116	14	,	,	PUNCT
ejpam-6475	116	15	(	(	PUNCT
ejpam-6475	116	16	2	2	X
ejpam-6475	116	17	)	)	PUNCT
ejpam-6475	116	18	proving	prove	VERB
ejpam-6475	116	19	its	its	PRON
ejpam-6475	116	20	convergence	convergence	NOUN
ejpam-6475	116	21	,	,	PUNCT
ejpam-6475	116	22	(	(	PUNCT
ejpam-6475	116	23	3	3	X
ejpam-6475	116	24	)	)	PUNCT
ejpam-6475	116	25	verifying	verify	VERB
ejpam-6475	116	26	the	the	DET
ejpam-6475	116	27	fixed	fix	VERB
ejpam-6475	116	28	point	point	NOUN
ejpam-6475	116	29	,	,	PUNCT
ejpam-6475	116	30	and	and	CCONJ
ejpam-6475	116	31	(	(	PUNCT
ejpam-6475	116	32	4	4	X
ejpam-6475	116	33	)	)	PUNCT
ejpam-6475	116	34	establishing	establish	VERB
ejpam-6475	116	35	uniqueness	uniqueness	NOUN
ejpam-6475	116	36	.	.	PUNCT
ejpam-6475	117	1	step	step	NOUN
ejpam-6475	117	2	1	1	NUM
ejpam-6475	117	3	:	:	PUNCT
ejpam-6475	117	4	constructing	construct	VERB
ejpam-6475	117	5	a	a	DET
ejpam-6475	117	6	cauchy	cauchy	ADJ
ejpam-6475	117	7	sequence	sequence	NOUN
ejpam-6475	117	8	fix	fix	VERB
ejpam-6475	117	9	an	an	DET
ejpam-6475	117	10	arbitrary	arbitrary	ADJ
ejpam-6475	117	11	υ0	υ0	NOUN
ejpam-6475	117	12	∈	∈	PROPN
ejpam-6475	117	13	z	z	NOUN
ejpam-6475	117	14	and	and	CCONJ
ejpam-6475	117	15	define	define	VERB
ejpam-6475	117	16	the	the	DET
ejpam-6475	117	17	iterative	iterative	NOUN
ejpam-6475	117	18	sequence	sequence	NOUN
ejpam-6475	117	19	υn+1	υn+1	NOUN
ejpam-6475	117	20	=	=	SYM
ejpam-6475	117	21	ψυn	ψυn	NOUN
ejpam-6475	117	22	.	.	PUNCT
ejpam-6475	118	1	we	we	PRON
ejpam-6475	118	2	show	show	VERB
ejpam-6475	118	3	{	{	PUNCT
ejpam-6475	118	4	υn	υn	NOUN
ejpam-6475	118	5	}	}	PUNCT
ejpam-6475	118	6	is	be	AUX
ejpam-6475	118	7	cauchy	cauchy	PROPN
ejpam-6475	118	8	.	.	PUNCT
ejpam-6475	119	1	•	•	NUM
ejpam-6475	119	2	neutrosophic	neutrosophic	ADJ
ejpam-6475	119	3	condition	condition	NOUN
ejpam-6475	119	4	(	(	PUNCT
ejpam-6475	119	5	t	t	PROPN
ejpam-6475	119	6	):	):	PUNCT
ejpam-6475	119	7	by	by	ADP
ejpam-6475	119	8	the	the	DET
ejpam-6475	119	9	contraction	contraction	NOUN
ejpam-6475	119	10	on	on	ADP
ejpam-6475	119	11	t	t	PROPN
ejpam-6475	119	12	,	,	PUNCT
ejpam-6475	119	13	for	for	ADP
ejpam-6475	119	14	any	any	DET
ejpam-6475	119	15	n	n	PRON
ejpam-6475	119	16	≥	≥	NOUN
ejpam-6475	119	17	1	1	NUM
ejpam-6475	119	18	and	and	CCONJ
ejpam-6475	119	19	γ	γ	X
ejpam-6475	119	20	>	>	X
ejpam-6475	119	21	0	0	NUM
ejpam-6475	119	22	:	:	PUNCT
ejpam-6475	119	23	t	t	PROPN
ejpam-6475	119	24	(	(	PUNCT
ejpam-6475	119	25	υn	υn	NOUN
ejpam-6475	119	26	,	,	PUNCT
ejpam-6475	119	27	υn+1	υn+1	PROPN
ejpam-6475	119	28	,	,	PUNCT
ejpam-6475	119	29	γ	γ	NOUN
ejpam-6475	119	30	)	)	PUNCT
ejpam-6475	119	31	≥	≥	PROPN
ejpam-6475	119	32	t	t	PROPN
ejpam-6475	119	33	(	(	PUNCT
ejpam-6475	119	34	υn−1	υn−1	PROPN
ejpam-6475	119	35	,	,	PUNCT
ejpam-6475	119	36	υn	υn	NOUN
ejpam-6475	119	37	,	,	PUNCT
ejpam-6475	119	38	γ	γ	PROPN
ejpam-6475	119	39	/	/	SYM
ejpam-6475	119	40	k	k	NOUN
ejpam-6475	119	41	)	)	PUNCT
ejpam-6475	119	42	≥	≥	NOUN
ejpam-6475	119	43	·	·	PUNCT
ejpam-6475	119	44	·	·	PUNCT
ejpam-6475	119	45	·	·	PUNCT
ejpam-6475	119	46	≥	≥	PROPN
ejpam-6475	119	47	t	t	NOUN
ejpam-6475	119	48	(	(	PUNCT
ejpam-6475	119	49	υ0	υ0	PROPN
ejpam-6475	119	50	,	,	PUNCT
ejpam-6475	119	51	υ1	υ1	PROPN
ejpam-6475	119	52	,	,	PUNCT
ejpam-6475	119	53	γ	γ	PROPN
ejpam-6475	119	54	/	/	SYM
ejpam-6475	119	55	k	k	PROPN
ejpam-6475	119	56	n	n	CCONJ
ejpam-6475	119	57	)	)	PUNCT
ejpam-6475	119	58	.	.	PUNCT
ejpam-6475	120	1	since	since	SCONJ
ejpam-6475	120	2	limn→∞	limn→∞	PROPN
ejpam-6475	120	3	t	t	PROPN
ejpam-6475	120	4	(	(	PUNCT
ejpam-6475	120	5	υ0	υ0	PROPN
ejpam-6475	120	6	,	,	PUNCT
ejpam-6475	120	7	υ1	υ1	PROPN
ejpam-6475	120	8	,	,	PUNCT
ejpam-6475	120	9	γ	γ	PROPN
ejpam-6475	120	10	/	/	SYM
ejpam-6475	120	11	k	k	PROPN
ejpam-6475	120	12	n	n	CCONJ
ejpam-6475	120	13	)	)	PUNCT
ejpam-6475	120	14	=	=	SYM
ejpam-6475	120	15	1	1	NUM
ejpam-6475	120	16	(	(	PUNCT
ejpam-6475	120	17	by	by	ADP
ejpam-6475	120	18	n4	n4	PROPN
ejpam-6475	120	19	)	)	PUNCT
ejpam-6475	120	20	,	,	PUNCT
ejpam-6475	120	21	we	we	PRON
ejpam-6475	120	22	have	have	VERB
ejpam-6475	120	23	:	:	PUNCT
ejpam-6475	120	24	lim	lim	PROPN
ejpam-6475	120	25	n→∞	n→∞	PROPN
ejpam-6475	120	26	t	t	PROPN
ejpam-6475	120	27	(	(	PUNCT
ejpam-6475	120	28	υn	υn	NOUN
ejpam-6475	120	29	,	,	PUNCT
ejpam-6475	120	30	υn+1	υn+1	PROPN
ejpam-6475	120	31	,	,	PUNCT
ejpam-6475	120	32	γ	γ	NOUN
ejpam-6475	120	33	)	)	PUNCT
ejpam-6475	120	34	=	=	SYM
ejpam-6475	121	1	1	1	NUM
ejpam-6475	121	2	.	.	NUM
ejpam-6475	121	3	•	•	NUM
ejpam-6475	121	4	mr	mr	PROPN
ejpam-6475	121	5	-	-	PUNCT
ejpam-6475	121	6	metric	metric	ADJ
ejpam-6475	121	7	condition	condition	NOUN
ejpam-6475	121	8	(	(	PUNCT
ejpam-6475	121	9	m	m	NOUN
ejpam-6475	121	10	):	):	PUNCT
ejpam-6475	121	11	the	the	DET
ejpam-6475	121	12	contraction	contraction	NOUN
ejpam-6475	121	13	on	on	ADP
ejpam-6475	121	14	m	m	PROPN
ejpam-6475	121	15	implies	imply	VERB
ejpam-6475	121	16	:	:	PUNCT
ejpam-6475	121	17	m(υn	m(υn	ADJ
ejpam-6475	121	18	,	,	PUNCT
ejpam-6475	121	19	υn+1	υn+1	NOUN
ejpam-6475	121	20	,	,	PUNCT
ejpam-6475	121	21	υn+1	υn+1	NOUN
ejpam-6475	121	22	)	)	PUNCT
ejpam-6475	121	23	≤	≤	NOUN
ejpam-6475	121	24	km(υn−1	km(υn−1	PROPN
ejpam-6475	121	25	,	,	PUNCT
ejpam-6475	121	26	υn	υn	NOUN
ejpam-6475	121	27	,	,	PUNCT
ejpam-6475	121	28	υn	υn	NOUN
ejpam-6475	121	29	)	)	PUNCT
ejpam-6475	121	30	≤	≤	NOUN
ejpam-6475	121	31	·	·	PUNCT
ejpam-6475	121	32	·	·	PUNCT
ejpam-6475	122	1	·	·	PUNCT
ejpam-6475	122	2	≤	≤	NUM
ejpam-6475	123	1	knm(υ0	knm(υ0	PROPN
ejpam-6475	123	2	,	,	PUNCT
ejpam-6475	123	3	υ1	υ1	PROPN
ejpam-6475	123	4	,	,	PUNCT
ejpam-6475	123	5	υ1	υ1	PROPN
ejpam-6475	123	6	)	)	PUNCT
ejpam-6475	123	7	.	.	PUNCT
ejpam-6475	124	1	thus	thus	ADV
ejpam-6475	124	2	,	,	PUNCT
ejpam-6475	124	3	limn→∞m(υn	limn→∞m(υn	ADJ
ejpam-6475	124	4	,	,	PUNCT
ejpam-6475	124	5	υn+1	υn+1	NOUN
ejpam-6475	124	6	,	,	PUNCT
ejpam-6475	124	7	υn+1	υn+1	NOUN
ejpam-6475	124	8	)	)	PUNCT
ejpam-6475	124	9	=	=	SYM
ejpam-6475	125	1	0	0	NUM
ejpam-6475	125	2	.	.	NOUN
ejpam-6475	125	3	•	•	NUM
ejpam-6475	125	4	falsity	falsity	NOUN
ejpam-6475	125	5	condition	condition	NOUN
ejpam-6475	125	6	(	(	PUNCT
ejpam-6475	125	7	f	f	X
ejpam-6475	125	8	):	):	PUNCT
ejpam-6475	125	9	from	from	ADP
ejpam-6475	125	10	(	(	PUNCT
ejpam-6475	125	11	c1	c1	PROPN
ejpam-6475	125	12	)	)	PUNCT
ejpam-6475	125	13	,	,	PUNCT
ejpam-6475	125	14	f(υn	f(υn	X
ejpam-6475	125	15	,	,	PUNCT
ejpam-6475	125	16	υn+1	υn+1	NOUN
ejpam-6475	125	17	,	,	PUNCT
ejpam-6475	125	18	γ	γ	NOUN
ejpam-6475	125	19	)	)	PUNCT
ejpam-6475	125	20	≤	≤	NOUN
ejpam-6475	125	21	m(υn	m(υn	ADJ
ejpam-6475	125	22	,	,	PUNCT
ejpam-6475	125	23	υn+1,υn+1	υn+1,υn+1	ADJ
ejpam-6475	125	24	)	)	PUNCT
ejpam-6475	125	25	1+m(υn	1+m(υn	NUM
ejpam-6475	125	26	,	,	PUNCT
ejpam-6475	125	27	υn+1,υn+1	υn+1,υn+1	ADJ
ejpam-6475	125	28	)	)	PUNCT
ejpam-6475	125	29	→	→	SYM
ejpam-6475	125	30	0	0	NUM
ejpam-6475	125	31	as	as	ADP
ejpam-6475	125	32	n	n	NOUN
ejpam-6475	125	33	→	→	SYM
ejpam-6475	125	34	∞.	∞.	PROPN
ejpam-6475	125	35	a.	a.	NOUN
ejpam-6475	125	36	malkawi	malkawi	PROPN
ejpam-6475	125	37	/	/	SYM
ejpam-6475	125	38	eur	eur	PROPN
ejpam-6475	125	39	.	.	PUNCT
ejpam-6475	126	1	j.	j.	PROPN
ejpam-6475	126	2	pure	pure	PROPN
ejpam-6475	126	3	appl	appl	PROPN
ejpam-6475	126	4	.	.	PROPN
ejpam-6475	126	5	math	math	PROPN
ejpam-6475	126	6	,	,	PUNCT
ejpam-6475	126	7	18	18	NUM
ejpam-6475	126	8	(	(	PUNCT
ejpam-6475	126	9	3	3	NUM
ejpam-6475	126	10	)	)	PUNCT
ejpam-6475	126	11	(	(	PUNCT
ejpam-6475	126	12	2025	2025	NUM
ejpam-6475	126	13	)	)	PUNCT
ejpam-6475	126	14	,	,	PUNCT
ejpam-6475	126	15	6475	6475	NUM
ejpam-6475	126	16	7	7	NUM
ejpam-6475	126	17	of	of	ADP
ejpam-6475	126	18	20	20	NUM
ejpam-6475	126	19	step	step	NOUN
ejpam-6475	126	20	2	2	NUM
ejpam-6475	126	21	:	:	PUNCT
ejpam-6475	126	22	convergence	convergence	NOUN
ejpam-6475	126	23	in	in	ADP
ejpam-6475	126	24	complete	complete	ADJ
ejpam-6475	126	25	nmr	nmr	NOUN
ejpam-6475	126	26	-	-	PUNCT
ejpam-6475	126	27	ms	ms	NOUN
ejpam-6475	126	28	we	we	PRON
ejpam-6475	126	29	show	show	AUX
ejpam-6475	126	30	{	{	PUNCT
ejpam-6475	126	31	υn	υn	NOUN
ejpam-6475	126	32	}	}	PUNCT
ejpam-6475	126	33	converges	converge	NOUN
ejpam-6475	126	34	to	to	ADP
ejpam-6475	126	35	some	some	DET
ejpam-6475	126	36	υ∗	υ∗	NOUN
ejpam-6475	126	37	∈	∈	PROPN
ejpam-6475	126	38	z.	z.	PROPN
ejpam-6475	126	39	for	for	ADP
ejpam-6475	126	40	m	m	PROPN
ejpam-6475	126	41	>	>	X
ejpam-6475	126	42	n	n	CCONJ
ejpam-6475	126	43	,	,	PUNCT
ejpam-6475	126	44	iteratively	iteratively	ADV
ejpam-6475	126	45	apply	apply	VERB
ejpam-6475	126	46	the	the	DET
ejpam-6475	126	47	mr	mr	PROPN
ejpam-6475	126	48	-	-	PUNCT
ejpam-6475	126	49	triangle	triangle	NOUN
ejpam-6475	126	50	inequality	inequality	NOUN
ejpam-6475	126	51	(	(	PUNCT
ejpam-6475	126	52	m4	m4	PROPN
ejpam-6475	126	53	)	)	PUNCT
ejpam-6475	126	54	with	with	ADP
ejpam-6475	126	55	r	r	NOUN
ejpam-6475	126	56	>	>	SYM
ejpam-6475	126	57	1	1	NUM
ejpam-6475	126	58	and	and	CCONJ
ejpam-6475	126	59	⋆	⋆	NOUN
ejpam-6475	126	60	=	=	SYM
ejpam-6475	127	1	+	+	ADJ
ejpam-6475	127	2	:	:	PUNCT
ejpam-6475	127	3	m(υn	m(υn	ADJ
ejpam-6475	127	4	,	,	PUNCT
ejpam-6475	127	5	υm	υm	NOUN
ejpam-6475	127	6	,	,	PUNCT
ejpam-6475	127	7	υm	υm	NOUN
ejpam-6475	127	8	)	)	PUNCT
ejpam-6475	127	9	≤	≤	NOUN
ejpam-6475	128	1	r	r	NOUN
ejpam-6475	128	2	[	[	X
ejpam-6475	128	3	m(υn	m(υn	ADJ
ejpam-6475	128	4	,	,	PUNCT
ejpam-6475	128	5	υn+1	υn+1	NOUN
ejpam-6475	128	6	,	,	PUNCT
ejpam-6475	128	7	υn+1	υn+1	NOUN
ejpam-6475	128	8	)	)	PUNCT
ejpam-6475	128	9	+	+	SYM
ejpam-6475	128	10	m(υn+1	m(υn+1	NUM
ejpam-6475	128	11	,	,	PUNCT
ejpam-6475	128	12	υm	υm	NOUN
ejpam-6475	128	13	,	,	PUNCT
ejpam-6475	128	14	υm	υm	PROPN
ejpam-6475	128	15	)	)	PUNCT
ejpam-6475	128	16	]	]	PUNCT
ejpam-6475	128	17	.	.	PUNCT
ejpam-6475	129	1	by	by	ADP
ejpam-6475	129	2	induction	induction	NOUN
ejpam-6475	129	3	,	,	PUNCT
ejpam-6475	129	4	this	this	PRON
ejpam-6475	129	5	expands	expand	VERB
ejpam-6475	129	6	to	to	ADP
ejpam-6475	129	7	:	:	PUNCT
ejpam-6475	129	8	m(υn	m(υn	ADJ
ejpam-6475	129	9	,	,	PUNCT
ejpam-6475	129	10	υm	υm	NOUN
ejpam-6475	129	11	,	,	PUNCT
ejpam-6475	129	12	υm	υm	NOUN
ejpam-6475	129	13	)	)	PUNCT
ejpam-6475	129	14	≤	≤	NOUN
ejpam-6475	130	1	r	r	NOUN
ejpam-6475	130	2	m−1∑	m−1∑	NUM
ejpam-6475	130	3	i	i	NOUN
ejpam-6475	130	4	=	=	PROPN
ejpam-6475	130	5	n	n	X
ejpam-6475	130	6	(	(	PUNCT
ejpam-6475	130	7	rk)im(υ0	rk)im(υ0	PROPN
ejpam-6475	130	8	,	,	PUNCT
ejpam-6475	130	9	υ1	υ1	PROPN
ejpam-6475	130	10	,	,	PUNCT
ejpam-6475	130	11	υ1	υ1	PROPN
ejpam-6475	130	12	)	)	PUNCT
ejpam-6475	130	13	.	.	PUNCT
ejpam-6475	131	1	for	for	ADP
ejpam-6475	131	2	k	k	PROPN
ejpam-6475	131	3	∈	∈	PROPN
ejpam-6475	131	4	(	(	PUNCT
ejpam-6475	131	5	0	0	NUM
ejpam-6475	131	6	,	,	PUNCT
ejpam-6475	131	7	1	1	NUM
ejpam-6475	131	8	)	)	PUNCT
ejpam-6475	131	9	and	and	CCONJ
ejpam-6475	131	10	r	r	X
ejpam-6475	131	11	>	>	X
ejpam-6475	131	12	1	1	NUM
ejpam-6475	131	13	,	,	PUNCT
ejpam-6475	131	14	the	the	DET
ejpam-6475	131	15	series	series	NOUN
ejpam-6475	131	16	converges	converge	VERB
ejpam-6475	131	17	as	as	ADP
ejpam-6475	131	18	n	n	NOUN
ejpam-6475	131	19	,	,	PUNCT
ejpam-6475	131	20	m	m	PROPN
ejpam-6475	131	21	→	→	SYM
ejpam-6475	131	22	∞	∞	PROPN
ejpam-6475	131	23	,	,	PUNCT
ejpam-6475	131	24	proving	prove	VERB
ejpam-6475	131	25	{	{	PUNCT
ejpam-6475	131	26	υn	υn	NOUN
ejpam-6475	131	27	}	}	PUNCT
ejpam-6475	131	28	is	be	AUX
ejpam-6475	131	29	cauchy	cauchy	PROPN
ejpam-6475	131	30	.	.	PUNCT
ejpam-6475	132	1	by	by	ADP
ejpam-6475	132	2	completeness	completeness	NOUN
ejpam-6475	132	3	,	,	PUNCT
ejpam-6475	132	4	υn	υn	PROPN
ejpam-6475	132	5	→	→	SYM
ejpam-6475	132	6	υ∗.	υ∗.	ADJ
ejpam-6475	132	7	step	step	NOUN
ejpam-6475	132	8	3	3	NUM
ejpam-6475	132	9	:	:	PUNCT
ejpam-6475	132	10	υ∗	υ∗	NOUN
ejpam-6475	132	11	is	be	AUX
ejpam-6475	132	12	a	a	DET
ejpam-6475	132	13	fixed	fix	VERB
ejpam-6475	132	14	point	point	NOUN
ejpam-6475	132	15	using	use	VERB
ejpam-6475	132	16	the	the	DET
ejpam-6475	132	17	continuity	continuity	NOUN
ejpam-6475	132	18	of	of	ADP
ejpam-6475	132	19	ψ	ψ	X
ejpam-6475	132	20	(	(	PUNCT
ejpam-6475	132	21	implied	imply	VERB
ejpam-6475	132	22	by	by	ADP
ejpam-6475	132	23	the	the	DET
ejpam-6475	132	24	contraction	contraction	NOUN
ejpam-6475	132	25	conditions	condition	NOUN
ejpam-6475	132	26	):	):	PUNCT
ejpam-6475	132	27	t	t	PROPN
ejpam-6475	132	28	(	(	PUNCT
ejpam-6475	132	29	ψυ∗	ψυ∗	NOUN
ejpam-6475	132	30	,	,	PUNCT
ejpam-6475	132	31	υ∗	υ∗	NOUN
ejpam-6475	132	32	,	,	PUNCT
ejpam-6475	132	33	γ	γ	NOUN
ejpam-6475	132	34	)	)	PUNCT
ejpam-6475	132	35	≥	≥	PROPN
ejpam-6475	132	36	lim	lim	PROPN
ejpam-6475	132	37	n→∞	n→∞	PROPN
ejpam-6475	132	38	t	t	PROPN
ejpam-6475	132	39	(	(	PUNCT
ejpam-6475	132	40	ψυn	ψυn	PROPN
ejpam-6475	132	41	,	,	PUNCT
ejpam-6475	132	42	υn	υn	NOUN
ejpam-6475	132	43	,	,	PUNCT
ejpam-6475	132	44	γ	γ	NOUN
ejpam-6475	132	45	)	)	PUNCT
ejpam-6475	133	1	=	=	SYM
ejpam-6475	133	2	lim	lim	PROPN
ejpam-6475	133	3	n→∞	n→∞	NUM
ejpam-6475	133	4	t	t	PROPN
ejpam-6475	133	5	(	(	PUNCT
ejpam-6475	133	6	υn+1	υn+1	PROPN
ejpam-6475	133	7	,	,	PUNCT
ejpam-6475	133	8	υn	υn	NOUN
ejpam-6475	133	9	,	,	PUNCT
ejpam-6475	133	10	γ	γ	NOUN
ejpam-6475	133	11	)	)	PUNCT
ejpam-6475	133	12	=	=	SYM
ejpam-6475	133	13	1	1	NUM
ejpam-6475	133	14	,	,	PUNCT
ejpam-6475	133	15	m(ψυ∗	m(ψυ∗	ADJ
ejpam-6475	133	16	,	,	PUNCT
ejpam-6475	133	17	υ∗	υ∗	NOUN
ejpam-6475	133	18	,	,	PUNCT
ejpam-6475	133	19	υ∗	υ∗	NOUN
ejpam-6475	133	20	)	)	PUNCT
ejpam-6475	133	21	≤	≤	NOUN
ejpam-6475	133	22	lim	lim	PROPN
ejpam-6475	133	23	n→∞	n→∞	X
ejpam-6475	133	24	m(υn+1	m(υn+1	PROPN
ejpam-6475	133	25	,	,	PUNCT
ejpam-6475	133	26	υn	υn	NOUN
ejpam-6475	133	27	,	,	PUNCT
ejpam-6475	133	28	υn	υn	NOUN
ejpam-6475	133	29	)	)	PUNCT
ejpam-6475	133	30	=	=	SYM
ejpam-6475	133	31	0	0	X
ejpam-6475	133	32	.	.	PUNCT
ejpam-6475	134	1	thus	thus	ADV
ejpam-6475	134	2	,	,	PUNCT
ejpam-6475	134	3	ψυ∗	ψυ∗	NOUN
ejpam-6475	134	4	=	=	SYM
ejpam-6475	134	5	υ∗.	υ∗.	VERB
ejpam-6475	134	6	step	step	NOUN
ejpam-6475	134	7	4	4	NUM
ejpam-6475	134	8	:	:	PUNCT
ejpam-6475	134	9	uniqueness	uniqueness	NOUN
ejpam-6475	134	10	suppose	suppose	VERB
ejpam-6475	134	11	υ∗	υ∗	NOUN
ejpam-6475	134	12	and	and	CCONJ
ejpam-6475	134	13	ξ∗	ξ∗	PROPN
ejpam-6475	134	14	are	be	AUX
ejpam-6475	134	15	fixed	fix	VERB
ejpam-6475	134	16	points	point	NOUN
ejpam-6475	134	17	.	.	PUNCT
ejpam-6475	135	1	then	then	ADV
ejpam-6475	135	2	:	:	PUNCT
ejpam-6475	135	3	t	t	PROPN
ejpam-6475	135	4	(	(	PUNCT
ejpam-6475	135	5	υ∗	υ∗	NOUN
ejpam-6475	135	6	,	,	PUNCT
ejpam-6475	135	7	ξ∗	ξ∗	NOUN
ejpam-6475	135	8	,	,	PUNCT
ejpam-6475	135	9	γ	γ	PROPN
ejpam-6475	135	10	)	)	PUNCT
ejpam-6475	135	11	≥	≥	PROPN
ejpam-6475	135	12	t	t	PROPN
ejpam-6475	135	13	(	(	PUNCT
ejpam-6475	135	14	υ∗	υ∗	NOUN
ejpam-6475	135	15	,	,	PUNCT
ejpam-6475	135	16	ξ∗	ξ∗	NOUN
ejpam-6475	135	17	,	,	PUNCT
ejpam-6475	135	18	γ	γ	PROPN
ejpam-6475	135	19	/	/	SYM
ejpam-6475	135	20	k	k	NOUN
ejpam-6475	135	21	)	)	PUNCT
ejpam-6475	135	22	≥	≥	NOUN
ejpam-6475	135	23	·	·	PUNCT
ejpam-6475	135	24	·	·	PUNCT
ejpam-6475	135	25	·	·	PUNCT
ejpam-6475	135	26	≥	≥	PROPN
ejpam-6475	135	27	t	t	X
ejpam-6475	135	28	(	(	PUNCT
ejpam-6475	135	29	υ∗	υ∗	NOUN
ejpam-6475	135	30	,	,	PUNCT
ejpam-6475	135	31	ξ∗	ξ∗	NOUN
ejpam-6475	135	32	,	,	PUNCT
ejpam-6475	135	33	γ	γ	PROPN
ejpam-6475	135	34	/	/	SYM
ejpam-6475	135	35	kn	kn	PROPN
ejpam-6475	135	36	)	)	PUNCT
ejpam-6475	135	37	→	→	SYM
ejpam-6475	135	38	1	1	NUM
ejpam-6475	135	39	as	as	ADP
ejpam-6475	135	40	n	n	NUM
ejpam-6475	135	41	→	→	SYM
ejpam-6475	135	42	∞	∞	PROPN
ejpam-6475	135	43	,	,	PUNCT
ejpam-6475	135	44	m(υ∗	m(υ∗	X
ejpam-6475	135	45	,	,	PUNCT
ejpam-6475	135	46	ξ∗	ξ∗	NOUN
ejpam-6475	135	47	,	,	PUNCT
ejpam-6475	135	48	ξ∗	ξ∗	ADJ
ejpam-6475	135	49	)	)	PUNCT
ejpam-6475	135	50	≤	≤	NUM
ejpam-6475	135	51	km(υ∗	km(υ∗	NOUN
ejpam-6475	135	52	,	,	PUNCT
ejpam-6475	135	53	ξ∗	ξ∗	NOUN
ejpam-6475	135	54	,	,	PUNCT
ejpam-6475	135	55	ξ∗	ξ∗	ADJ
ejpam-6475	135	56	)	)	PUNCT
ejpam-6475	135	57	=	=	NOUN
ejpam-6475	135	58	⇒	⇒	NOUN
ejpam-6475	135	59	m(υ∗	m(υ∗	ADV
ejpam-6475	135	60	,	,	PUNCT
ejpam-6475	135	61	ξ∗	ξ∗	NOUN
ejpam-6475	135	62	,	,	PUNCT
ejpam-6475	135	63	ξ∗	ξ∗	ADJ
ejpam-6475	135	64	)	)	PUNCT
ejpam-6475	135	65	=	=	SYM
ejpam-6475	135	66	0	0	X
ejpam-6475	135	67	.	.	PUNCT
ejpam-6475	136	1	by	by	ADP
ejpam-6475	136	2	(	(	PUNCT
ejpam-6475	136	3	m2	m2	PROPN
ejpam-6475	136	4	)	)	PUNCT
ejpam-6475	136	5	,	,	PUNCT
ejpam-6475	136	6	υ∗	υ∗	NOUN
ejpam-6475	136	7	=	=	SYM
ejpam-6475	136	8	ξ∗.	ξ∗.	PROPN
ejpam-6475	136	9	verification	verification	NOUN
ejpam-6475	136	10	of	of	ADP
ejpam-6475	136	11	compatibility	compatibility	NOUN
ejpam-6475	136	12	•	•	ADP
ejpam-6475	136	13	(	(	PUNCT
ejpam-6475	136	14	c1	c1	NOUN
ejpam-6475	136	15	):	):	PUNCT
ejpam-6475	136	16	holds	hold	VERB
ejpam-6475	136	17	as	as	ADP
ejpam-6475	136	18	t	t	PROPN
ejpam-6475	136	19	(	(	PUNCT
ejpam-6475	136	20	υ	υ	PROPN
ejpam-6475	136	21	,	,	PUNCT
ejpam-6475	136	22	ξ	ξ	PROPN
ejpam-6475	136	23	,	,	PUNCT
ejpam-6475	136	24	γ	γ	NOUN
ejpam-6475	136	25	)	)	PUNCT
ejpam-6475	136	26	≥	≥	NOUN
ejpam-6475	136	27	1	1	NUM
ejpam-6475	136	28	1+m(υ	1+m(υ	ADJ
ejpam-6475	136	29	,	,	PUNCT
ejpam-6475	136	30	ξ	ξ	PROPN
ejpam-6475	136	31	,	,	PUNCT
ejpam-6475	136	32	ξ	ξ	NOUN
ejpam-6475	136	33	)	)	PUNCT
ejpam-6475	136	34	and	and	CCONJ
ejpam-6475	136	35	f(υ	f(υ	PROPN
ejpam-6475	136	36	,	,	PUNCT
ejpam-6475	136	37	ξ	ξ	PROPN
ejpam-6475	136	38	,	,	PUNCT
ejpam-6475	136	39	γ	γ	NOUN
ejpam-6475	136	40	)	)	PUNCT
ejpam-6475	136	41	≤	≤	NOUN
ejpam-6475	136	42	m(υ	m(υ	PROPN
ejpam-6475	136	43	,	,	PUNCT
ejpam-6475	136	44	ξ	ξ	PROPN
ejpam-6475	136	45	,	,	PUNCT
ejpam-6475	136	46	ξ	ξ	NOUN
ejpam-6475	136	47	)	)	PUNCT
ejpam-6475	136	48	1+m(υ	1+m(υ	ADJ
ejpam-6475	136	49	,	,	PUNCT
ejpam-6475	136	50	ξ	ξ	PROPN
ejpam-6475	136	51	,	,	PUNCT
ejpam-6475	136	52	ξ	ξ	X
ejpam-6475	136	53	)	)	PUNCT
ejpam-6475	136	54	are	be	AUX
ejpam-6475	136	55	preserved	preserve	VERB
ejpam-6475	136	56	under	under	ADP
ejpam-6475	136	57	the	the	DET
ejpam-6475	136	58	contraction	contraction	NOUN
ejpam-6475	136	59	.	.	PUNCT
ejpam-6475	137	1	•	•	NUM
ejpam-6475	137	2	(	(	PUNCT
ejpam-6475	137	3	c2	c2	PROPN
ejpam-6475	137	4	):	):	PUNCT
ejpam-6475	137	5	the	the	DET
ejpam-6475	137	6	t	t	NOUN
ejpam-6475	137	7	-	-	PUNCT
ejpam-6475	137	8	norm	norm	NOUN
ejpam-6475	137	9	•	•	NOUN
ejpam-6475	137	10	=	=	SYM
ejpam-6475	137	11	∗	∗	NOUN
ejpam-6475	137	12	and	and	CCONJ
ejpam-6475	137	13	⋆	⋆	NOUN
ejpam-6475	137	14	=	=	SYM
ejpam-6475	138	1	+	+	NUM
ejpam-6475	138	2	satisfy	satisfy	NOUN
ejpam-6475	138	3	(	(	PUNCT
ejpam-6475	138	4	a+	a+	NOUN
ejpam-6475	138	5	b	b	X
ejpam-6475	138	6	)	)	PUNCT
ejpam-6475	138	7	∗	∗	NOUN
ejpam-6475	138	8	c	c	NOUN
ejpam-6475	138	9	≤	≤	NUM
ejpam-6475	138	10	(	(	PUNCT
ejpam-6475	138	11	a	a	DET
ejpam-6475	138	12	∗	∗	NOUN
ejpam-6475	138	13	c	c	NOUN
ejpam-6475	138	14	)	)	PUNCT
ejpam-6475	139	1	+	+	CCONJ
ejpam-6475	139	2	(	(	PUNCT
ejpam-6475	139	3	b	b	NOUN
ejpam-6475	139	4	∗	∗	NOUN
ejpam-6475	139	5	c	c	NOUN
ejpam-6475	139	6	)	)	PUNCT
ejpam-6475	139	7	.	.	PUNCT
ejpam-6475	140	1	theorem	theorem	ADJ
ejpam-6475	140	2	3	3	NUM
ejpam-6475	140	3	(	(	PUNCT
ejpam-6475	140	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	140	5	convergence	convergence	NOUN
ejpam-6475	140	6	in	in	ADP
ejpam-6475	140	7	nmr	nmr	NOUN
ejpam-6475	140	8	-	-	PUNCT
ejpam-6475	140	9	ms	ms	NOUN
ejpam-6475	140	10	)	)	PUNCT
ejpam-6475	140	11	.	.	PUNCT
ejpam-6475	141	1	let	let	VERB
ejpam-6475	141	2	(	(	PUNCT
ejpam-6475	141	3	z	z	NOUN
ejpam-6475	141	4	,	,	PUNCT
ejpam-6475	141	5	m	m	PROPN
ejpam-6475	141	6	,	,	PUNCT
ejpam-6475	141	7	t	t	PROPN
ejpam-6475	141	8	,	,	PUNCT
ejpam-6475	141	9	f	f	PROPN
ejpam-6475	141	10	,	,	PUNCT
ejpam-6475	141	11	i	i	PRON
ejpam-6475	141	12	,	,	PUNCT
ejpam-6475	141	13	•	•	PROPN
ejpam-6475	141	14	,	,	PUNCT
ejpam-6475	141	15	⋄	⋄	PROPN
ejpam-6475	141	16	,	,	PUNCT
ejpam-6475	141	17	r	r	NOUN
ejpam-6475	141	18	,	,	PUNCT
ejpam-6475	141	19	⋆	⋆	CCONJ
ejpam-6475	141	20	)	)	PUNCT
ejpam-6475	141	21	be	be	AUX
ejpam-6475	141	22	a	a	DET
ejpam-6475	141	23	neutrosophic	neutrosophic	ADJ
ejpam-6475	141	24	mr	mr	ADJ
ejpam-6475	141	25	-	-	PUNCT
ejpam-6475	141	26	metric	metric	ADJ
ejpam-6475	141	27	space	space	NOUN
ejpam-6475	141	28	.	.	PUNCT
ejpam-6475	142	1	a	a	DET
ejpam-6475	142	2	sequence	sequence	NOUN
ejpam-6475	142	3	{	{	PUNCT
ejpam-6475	142	4	υn	υn	NOUN
ejpam-6475	142	5	}	}	PUNCT
ejpam-6475	142	6	in	in	ADP
ejpam-6475	142	7	z	z	NOUN
ejpam-6475	142	8	converges	converge	NOUN
ejpam-6475	142	9	to	to	ADP
ejpam-6475	142	10	υ	υ	PROPN
ejpam-6475	142	11	∈	∈	PROPN
ejpam-6475	142	12	z	z	NOUN
ejpam-6475	142	13	in	in	ADP
ejpam-6475	142	14	the	the	DET
ejpam-6475	142	15	nmr	nmr	NOUN
ejpam-6475	142	16	-	-	PUNCT
ejpam-6475	142	17	ms	ms	NOUN
ejpam-6475	142	18	topology	topology	NOUN
ejpam-6475	142	19	if	if	SCONJ
ejpam-6475	142	20	and	and	CCONJ
ejpam-6475	142	21	only	only	ADV
ejpam-6475	142	22	if	if	SCONJ
ejpam-6475	142	23	:	:	PUNCT
ejpam-6475	142	24	lim	lim	PROPN
ejpam-6475	142	25	n→∞	n→∞	X
ejpam-6475	142	26	t	t	PROPN
ejpam-6475	142	27	(	(	PUNCT
ejpam-6475	142	28	υn	υn	NOUN
ejpam-6475	142	29	,	,	PUNCT
ejpam-6475	142	30	υ	υ	PROPN
ejpam-6475	142	31	,	,	PUNCT
ejpam-6475	142	32	γ	γ	NOUN
ejpam-6475	142	33	)	)	PUNCT
ejpam-6475	142	34	=	=	SYM
ejpam-6475	142	35	1	1	NUM
ejpam-6475	142	36	,	,	PUNCT
ejpam-6475	142	37	lim	lim	PROPN
ejpam-6475	142	38	n→∞	n→∞	X
ejpam-6475	142	39	f(υn	f(υn	PROPN
ejpam-6475	142	40	,	,	PUNCT
ejpam-6475	142	41	υ	υ	PROPN
ejpam-6475	142	42	,	,	PUNCT
ejpam-6475	142	43	γ	γ	NOUN
ejpam-6475	142	44	)	)	PUNCT
ejpam-6475	142	45	=	=	SYM
ejpam-6475	142	46	0	0	PROPN
ejpam-6475	142	47	,	,	PUNCT
ejpam-6475	142	48	lim	lim	PROPN
ejpam-6475	142	49	n→∞	n→∞	X
ejpam-6475	142	50	m(υn	m(υn	PROPN
ejpam-6475	142	51	,	,	PUNCT
ejpam-6475	142	52	υ	υ	NOUN
ejpam-6475	142	53	,	,	PUNCT
ejpam-6475	142	54	υ	υ	NOUN
ejpam-6475	142	55	)	)	PUNCT
ejpam-6475	142	56	=	=	SYM
ejpam-6475	142	57	0	0	NUM
ejpam-6475	142	58	,	,	PUNCT
ejpam-6475	142	59	for	for	ADP
ejpam-6475	142	60	all	all	DET
ejpam-6475	142	61	γ	γ	X
ejpam-6475	142	62	>	>	X
ejpam-6475	142	63	0	0	PROPN
ejpam-6475	142	64	.	.	PUNCT
ejpam-6475	143	1	this	this	DET
ejpam-6475	143	2	convergence	convergence	NOUN
ejpam-6475	143	3	is	be	AUX
ejpam-6475	143	4	stricter	strict	ADJ
ejpam-6475	143	5	than	than	ADP
ejpam-6475	143	6	in	in	ADP
ejpam-6475	143	7	fuzzy	fuzzy	ADJ
ejpam-6475	143	8	metric	metric	ADJ
ejpam-6475	143	9	spaces	space	NOUN
ejpam-6475	143	10	due	due	ADP
ejpam-6475	143	11	to	to	ADP
ejpam-6475	143	12	the	the	DET
ejpam-6475	143	13	additional	additional	ADJ
ejpam-6475	143	14	f	f	PROPN
ejpam-6475	143	15	and	and	CCONJ
ejpam-6475	143	16	m	m	PROPN
ejpam-6475	143	17	conditions	condition	NOUN
ejpam-6475	143	18	.	.	PUNCT
ejpam-6475	144	1	a.	a.	NOUN
ejpam-6475	144	2	malkawi	malkawi	ADP
ejpam-6475	144	3	/	/	SYM
ejpam-6475	144	4	eur	eur	PROPN
ejpam-6475	144	5	.	.	PUNCT
ejpam-6475	145	1	j.	j.	PROPN
ejpam-6475	145	2	pure	pure	PROPN
ejpam-6475	145	3	appl	appl	PROPN
ejpam-6475	145	4	.	.	PROPN
ejpam-6475	145	5	math	math	PROPN
ejpam-6475	145	6	,	,	PUNCT
ejpam-6475	145	7	18	18	NUM
ejpam-6475	145	8	(	(	PUNCT
ejpam-6475	145	9	3	3	NUM
ejpam-6475	145	10	)	)	PUNCT
ejpam-6475	145	11	(	(	PUNCT
ejpam-6475	145	12	2025	2025	NUM
ejpam-6475	145	13	)	)	PUNCT
ejpam-6475	145	14	,	,	PUNCT
ejpam-6475	145	15	6475	6475	NUM
ejpam-6475	145	16	8	8	NUM
ejpam-6475	145	17	of	of	ADP
ejpam-6475	145	18	20	20	NUM
ejpam-6475	145	19	proof	proof	NOUN
ejpam-6475	145	20	.	.	PUNCT
ejpam-6475	146	1	we	we	PRON
ejpam-6475	146	2	prove	prove	VERB
ejpam-6475	146	3	both	both	DET
ejpam-6475	146	4	directions	direction	NOUN
ejpam-6475	146	5	of	of	ADP
ejpam-6475	146	6	the	the	DET
ejpam-6475	146	7	equivalence	equivalence	NOUN
ejpam-6475	146	8	and	and	CCONJ
ejpam-6475	146	9	demonstrate	demonstrate	VERB
ejpam-6475	146	10	the	the	DET
ejpam-6475	146	11	strictness	strictness	NOUN
ejpam-6475	146	12	compared	compare	VERB
ejpam-6475	146	13	to	to	ADP
ejpam-6475	146	14	fms	fms	PROPN
ejpam-6475	146	15	.	.	PUNCT
ejpam-6475	147	1	part	part	NOUN
ejpam-6475	147	2	1	1	NUM
ejpam-6475	147	3	:	:	PUNCT
ejpam-6475	147	4	convergence	convergence	NOUN
ejpam-6475	147	5	implies	imply	VERB
ejpam-6475	147	6	neutrosophic	neutrosophic	ADJ
ejpam-6475	147	7	limits	limit	NOUN
ejpam-6475	147	8	assume	assume	VERB
ejpam-6475	147	9	υn	υn	X
ejpam-6475	147	10	→	→	SYM
ejpam-6475	147	11	υ	υ	NOUN
ejpam-6475	147	12	in	in	ADP
ejpam-6475	147	13	the	the	DET
ejpam-6475	147	14	nmr	nmr	NOUN
ejpam-6475	147	15	-	-	PUNCT
ejpam-6475	147	16	ms	ms	NOUN
ejpam-6475	147	17	topology	topology	NOUN
ejpam-6475	147	18	.	.	PUNCT
ejpam-6475	148	1	by	by	ADP
ejpam-6475	148	2	definition	definition	NOUN
ejpam-6475	148	3	of	of	ADP
ejpam-6475	148	4	the	the	DET
ejpam-6475	148	5	topology	topology	NOUN
ejpam-6475	148	6	:	:	PUNCT
ejpam-6475	148	7	•	•	NOUN
ejpam-6475	148	8	for	for	ADP
ejpam-6475	148	9	every	every	DET
ejpam-6475	148	10	ϵ	ϵ	X
ejpam-6475	148	11	>	>	X
ejpam-6475	148	12	0	0	PROPN
ejpam-6475	148	13	and	and	CCONJ
ejpam-6475	148	14	γ	γ	X
ejpam-6475	148	15	>	>	X
ejpam-6475	148	16	0	0	NUM
ejpam-6475	148	17	,	,	PUNCT
ejpam-6475	148	18	there	there	PRON
ejpam-6475	148	19	existsn	existsn	NOUN
ejpam-6475	148	20	∈	∈	PROPN
ejpam-6475	148	21	n	n	CCONJ
ejpam-6475	148	22	such	such	ADJ
ejpam-6475	148	23	that	that	PRON
ejpam-6475	148	24	for	for	ADP
ejpam-6475	148	25	all	all	DET
ejpam-6475	148	26	n	n	DET
ejpam-6475	148	27	≥	≥	NOUN
ejpam-6475	148	28	n	n	NOUN
ejpam-6475	148	29	,	,	PUNCT
ejpam-6475	148	30	υn	υn	PROPN
ejpam-6475	148	31	∈	∈	PROPN
ejpam-6475	148	32	b(υ	b(υ	PROPN
ejpam-6475	148	33	,	,	PUNCT
ejpam-6475	148	34	ϵ	ϵ	X
ejpam-6475	148	35	,	,	PUNCT
ejpam-6475	148	36	γ	γ	NOUN
ejpam-6475	148	37	)	)	PUNCT
ejpam-6475	148	38	,	,	PUNCT
ejpam-6475	148	39	where	where	SCONJ
ejpam-6475	148	40	:	:	PUNCT
ejpam-6475	148	41	b(υ	b(υ	NOUN
ejpam-6475	148	42	,	,	PUNCT
ejpam-6475	148	43	ϵ	ϵ	X
ejpam-6475	148	44	,	,	PUNCT
ejpam-6475	148	45	γ	γ	NOUN
ejpam-6475	148	46	)	)	PUNCT
ejpam-6475	148	47	=	=	PUNCT
ejpam-6475	148	48	{	{	PUNCT
ejpam-6475	148	49	ξ	ξ	X
ejpam-6475	148	50	∈	∈	PROPN
ejpam-6475	148	51	z	z	NOUN
ejpam-6475	149	1	|	|	NOUN
ejpam-6475	149	2	t	t	PROPN
ejpam-6475	149	3	(	(	PUNCT
ejpam-6475	149	4	υ	υ	PROPN
ejpam-6475	149	5	,	,	PUNCT
ejpam-6475	149	6	ξ	ξ	PROPN
ejpam-6475	149	7	,	,	PUNCT
ejpam-6475	149	8	γ	γ	NOUN
ejpam-6475	149	9	)	)	PUNCT
ejpam-6475	149	10	>	>	X
ejpam-6475	149	11	1−	1−	NUM
ejpam-6475	149	12	ϵ,f(υ	ϵ,f(υ	NUM
ejpam-6475	149	13	,	,	PUNCT
ejpam-6475	149	14	ξ	ξ	PROPN
ejpam-6475	149	15	,	,	PUNCT
ejpam-6475	149	16	γ	γ	NOUN
ejpam-6475	149	17	)	)	PUNCT
ejpam-6475	149	18	<	<	X
ejpam-6475	149	19	ϵ,m(υ	ϵ,m(υ	PROPN
ejpam-6475	149	20	,	,	PUNCT
ejpam-6475	149	21	ξ	ξ	PROPN
ejpam-6475	149	22	,	,	PUNCT
ejpam-6475	149	23	ξ	ξ	X
ejpam-6475	149	24	)	)	PUNCT
ejpam-6475	149	25	<	<	X
ejpam-6475	150	1	ϵ	ϵ	X
ejpam-6475	150	2	}	}	PUNCT
ejpam-6475	150	3	.	.	PUNCT
ejpam-6475	151	1	•	•	NOUN
ejpam-6475	151	2	this	this	PRON
ejpam-6475	151	3	immediately	immediately	ADV
ejpam-6475	151	4	implies	imply	VERB
ejpam-6475	151	5	:	:	PUNCT
ejpam-6475	151	6	lim	lim	PROPN
ejpam-6475	151	7	n→∞	n→∞	PROPN
ejpam-6475	151	8	t	t	PROPN
ejpam-6475	151	9	(	(	PUNCT
ejpam-6475	151	10	υn	υn	NOUN
ejpam-6475	151	11	,	,	PUNCT
ejpam-6475	151	12	υ	υ	PROPN
ejpam-6475	151	13	,	,	PUNCT
ejpam-6475	151	14	γ	γ	NOUN
ejpam-6475	151	15	)	)	PUNCT
ejpam-6475	151	16	=	=	SYM
ejpam-6475	151	17	1	1	NUM
ejpam-6475	151	18	(	(	PUNCT
ejpam-6475	151	19	since	since	SCONJ
ejpam-6475	151	20	t	t	PROPN
ejpam-6475	151	21	>	>	X
ejpam-6475	151	22	1−	1−	NUM
ejpam-6475	151	23	ϵ	ϵ	X
ejpam-6475	151	24	for	for	ADP
ejpam-6475	151	25	arbitrary	arbitrary	ADJ
ejpam-6475	151	26	ϵ	ϵ	NOUN
ejpam-6475	151	27	)	)	PUNCT
ejpam-6475	151	28	,	,	PUNCT
ejpam-6475	151	29	lim	lim	PROPN
ejpam-6475	151	30	n→∞	n→∞	X
ejpam-6475	151	31	f(υn	f(υn	PROPN
ejpam-6475	151	32	,	,	PUNCT
ejpam-6475	151	33	υ	υ	PROPN
ejpam-6475	151	34	,	,	PUNCT
ejpam-6475	151	35	γ	γ	NOUN
ejpam-6475	151	36	)	)	PUNCT
ejpam-6475	151	37	=	=	SYM
ejpam-6475	151	38	0	0	PUNCT
ejpam-6475	151	39	(	(	PUNCT
ejpam-6475	151	40	since	since	SCONJ
ejpam-6475	151	41	f	f	PROPN
ejpam-6475	151	42	<	<	X
ejpam-6475	151	43	ϵ	ϵ	X
ejpam-6475	151	44	for	for	ADP
ejpam-6475	151	45	arbitrary	arbitrary	ADJ
ejpam-6475	151	46	ϵ	ϵ	NOUN
ejpam-6475	151	47	)	)	PUNCT
ejpam-6475	151	48	,	,	PUNCT
ejpam-6475	151	49	lim	lim	PROPN
ejpam-6475	151	50	n→∞	n→∞	X
ejpam-6475	151	51	m(υn	m(υn	PROPN
ejpam-6475	151	52	,	,	PUNCT
ejpam-6475	151	53	υ	υ	NOUN
ejpam-6475	151	54	,	,	PUNCT
ejpam-6475	151	55	υ	υ	NOUN
ejpam-6475	151	56	)	)	PUNCT
ejpam-6475	151	57	=	=	SYM
ejpam-6475	151	58	0	0	PUNCT
ejpam-6475	151	59	(	(	PUNCT
ejpam-6475	151	60	since	since	SCONJ
ejpam-6475	151	61	m	m	PROPN
ejpam-6475	151	62	<	<	X
ejpam-6475	151	63	ϵ	ϵ	X
ejpam-6475	151	64	for	for	ADP
ejpam-6475	151	65	arbitrary	arbitrary	ADJ
ejpam-6475	151	66	ϵ	ϵ	NOUN
ejpam-6475	151	67	)	)	PUNCT
ejpam-6475	151	68	.	.	PUNCT
ejpam-6475	152	1	part	part	NOUN
ejpam-6475	152	2	2	2	NUM
ejpam-6475	152	3	:	:	PUNCT
ejpam-6475	152	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	152	5	limits	limit	NOUN
ejpam-6475	152	6	imply	imply	VERB
ejpam-6475	152	7	convergence	convergence	NOUN
ejpam-6475	152	8	conversely	conversely	ADV
ejpam-6475	152	9	,	,	PUNCT
ejpam-6475	152	10	assume	assume	VERB
ejpam-6475	152	11	the	the	DET
ejpam-6475	152	12	three	three	NUM
ejpam-6475	152	13	limit	limit	NOUN
ejpam-6475	152	14	conditions	condition	NOUN
ejpam-6475	152	15	hold	hold	VERB
ejpam-6475	152	16	.	.	PUNCT
ejpam-6475	153	1	we	we	PRON
ejpam-6475	153	2	show	show	VERB
ejpam-6475	153	3	that	that	SCONJ
ejpam-6475	153	4	for	for	ADP
ejpam-6475	153	5	any	any	DET
ejpam-6475	153	6	ϵ	ϵ	X
ejpam-6475	153	7	>	>	X
ejpam-6475	153	8	0	0	NUM
ejpam-6475	153	9	and	and	CCONJ
ejpam-6475	153	10	γ	γ	X
ejpam-6475	153	11	>	>	X
ejpam-6475	153	12	0	0	NUM
ejpam-6475	153	13	,	,	PUNCT
ejpam-6475	153	14	there	there	PRON
ejpam-6475	153	15	exists	exist	VERB
ejpam-6475	153	16	n	n	PRON
ejpam-6475	153	17	such	such	ADJ
ejpam-6475	153	18	that	that	PRON
ejpam-6475	153	19	for	for	ADP
ejpam-6475	153	20	all	all	DET
ejpam-6475	153	21	n	n	DET
ejpam-6475	153	22	≥	≥	NOUN
ejpam-6475	153	23	n	n	NOUN
ejpam-6475	153	24	,	,	PUNCT
ejpam-6475	153	25	υn	υn	PROPN
ejpam-6475	153	26	∈	∈	PROPN
ejpam-6475	153	27	b(υ	b(υ	PROPN
ejpam-6475	153	28	,	,	PUNCT
ejpam-6475	153	29	ϵ	ϵ	X
ejpam-6475	153	30	,	,	PUNCT
ejpam-6475	153	31	γ	γ	X
ejpam-6475	153	32	):	):	PUNCT
ejpam-6475	153	33	•	•	ADV
ejpam-6475	153	34	from	from	ADP
ejpam-6475	153	35	limn→∞	limn→∞	PROPN
ejpam-6475	153	36	t	t	PROPN
ejpam-6475	153	37	(	(	PUNCT
ejpam-6475	153	38	υn	υn	NOUN
ejpam-6475	153	39	,	,	PUNCT
ejpam-6475	153	40	υ	υ	PROPN
ejpam-6475	153	41	,	,	PUNCT
ejpam-6475	153	42	γ	γ	NOUN
ejpam-6475	153	43	)	)	PUNCT
ejpam-6475	153	44	=	=	SYM
ejpam-6475	153	45	1	1	NUM
ejpam-6475	153	46	:	:	PUNCT
ejpam-6475	153	47	for	for	ADP
ejpam-6475	153	48	any	any	PRON
ejpam-6475	153	49	ϵ	ϵ	X
ejpam-6475	153	50	>	>	X
ejpam-6475	153	51	0	0	PROPN
ejpam-6475	153	52	,	,	PUNCT
ejpam-6475	153	53	∃n1	∃n1	NOUN
ejpam-6475	153	54	such	such	ADJ
ejpam-6475	153	55	that	that	SCONJ
ejpam-6475	153	56	∀n	∀n	NUM
ejpam-6475	153	57	≥	≥	NOUN
ejpam-6475	153	58	n1	n1	PROPN
ejpam-6475	153	59	,	,	PUNCT
ejpam-6475	153	60	t	t	PROPN
ejpam-6475	153	61	(	(	PUNCT
ejpam-6475	153	62	υn	υn	NOUN
ejpam-6475	153	63	,	,	PUNCT
ejpam-6475	153	64	υ	υ	PROPN
ejpam-6475	153	65	,	,	PUNCT
ejpam-6475	153	66	γ	γ	NOUN
ejpam-6475	153	67	)	)	PUNCT
ejpam-6475	153	68	>	>	X
ejpam-6475	153	69	1−	1−	NUM
ejpam-6475	153	70	ϵ.	ϵ.	NOUN
ejpam-6475	153	71	•	•	NOUN
ejpam-6475	153	72	from	from	ADP
ejpam-6475	153	73	limn→∞f(υn	limn→∞f(υn	VERB
ejpam-6475	153	74	,	,	PUNCT
ejpam-6475	153	75	υ	υ	INTJ
ejpam-6475	153	76	,	,	PUNCT
ejpam-6475	153	77	γ	γ	NOUN
ejpam-6475	153	78	)	)	PUNCT
ejpam-6475	153	79	=	=	SYM
ejpam-6475	153	80	0	0	NUM
ejpam-6475	153	81	:	:	PUNCT
ejpam-6475	153	82	for	for	ADP
ejpam-6475	153	83	any	any	PRON
ejpam-6475	153	84	ϵ	ϵ	X
ejpam-6475	153	85	>	>	X
ejpam-6475	153	86	0	0	NUM
ejpam-6475	153	87	,	,	PUNCT
ejpam-6475	153	88	∃n2	∃n2	NOUN
ejpam-6475	153	89	such	such	ADJ
ejpam-6475	153	90	that	that	SCONJ
ejpam-6475	153	91	∀n	∀n	NUM
ejpam-6475	153	92	≥	≥	NOUN
ejpam-6475	153	93	n2	n2	NOUN
ejpam-6475	153	94	,	,	PUNCT
ejpam-6475	153	95	f(υn	f(υn	PROPN
ejpam-6475	153	96	,	,	PUNCT
ejpam-6475	153	97	υ	υ	NOUN
ejpam-6475	153	98	,	,	PUNCT
ejpam-6475	153	99	γ	γ	NOUN
ejpam-6475	153	100	)	)	PUNCT
ejpam-6475	153	101	<	<	X
ejpam-6475	153	102	ϵ.	ϵ.	NOUN
ejpam-6475	153	103	•	•	NOUN
ejpam-6475	153	104	from	from	ADP
ejpam-6475	153	105	limn→∞m(υn	limn→∞m(υn	ADJ
ejpam-6475	153	106	,	,	PUNCT
ejpam-6475	153	107	υ	υ	NOUN
ejpam-6475	153	108	,	,	PUNCT
ejpam-6475	153	109	υ	υ	NOUN
ejpam-6475	153	110	)	)	PUNCT
ejpam-6475	153	111	=	=	SYM
ejpam-6475	153	112	0	0	NUM
ejpam-6475	153	113	:	:	PUNCT
ejpam-6475	153	114	for	for	ADP
ejpam-6475	153	115	any	any	PRON
ejpam-6475	153	116	ϵ	ϵ	X
ejpam-6475	153	117	>	>	X
ejpam-6475	153	118	0	0	PROPN
ejpam-6475	153	119	,	,	PUNCT
ejpam-6475	153	120	∃n3	∃n3	NOUN
ejpam-6475	153	121	such	such	ADJ
ejpam-6475	153	122	that	that	SCONJ
ejpam-6475	153	123	∀n	∀n	NUM
ejpam-6475	153	124	≥	≥	NOUN
ejpam-6475	153	125	n3	n3	PROPN
ejpam-6475	153	126	,	,	PUNCT
ejpam-6475	153	127	m(υn	m(υn	PROPN
ejpam-6475	153	128	,	,	PUNCT
ejpam-6475	153	129	υ	υ	NOUN
ejpam-6475	153	130	,	,	PUNCT
ejpam-6475	153	131	υ	υ	NOUN
ejpam-6475	153	132	)	)	PUNCT
ejpam-6475	153	133	<	<	AUX
ejpam-6475	153	134	ϵ.	ϵ.	NOUN
ejpam-6475	153	135	taking	take	VERB
ejpam-6475	153	136	n	n	NOUN
ejpam-6475	153	137	=	=	SYM
ejpam-6475	153	138	max{n1	max{n1	PROPN
ejpam-6475	153	139	,	,	PUNCT
ejpam-6475	153	140	n2	n2	NOUN
ejpam-6475	153	141	,	,	PUNCT
ejpam-6475	153	142	n3	n3	NOUN
ejpam-6475	153	143	}	}	PUNCT
ejpam-6475	153	144	,	,	PUNCT
ejpam-6475	153	145	all	all	DET
ejpam-6475	153	146	three	three	NUM
ejpam-6475	153	147	conditions	condition	NOUN
ejpam-6475	153	148	are	be	AUX
ejpam-6475	153	149	satisfied	satisfied	ADJ
ejpam-6475	153	150	simultaneously	simultaneously	ADV
ejpam-6475	153	151	for	for	ADP
ejpam-6475	153	152	n	n	PRON
ejpam-6475	153	153	≥	≥	NOUN
ejpam-6475	153	154	n	n	ADV
ejpam-6475	153	155	,	,	PUNCT
ejpam-6475	153	156	proving	prove	VERB
ejpam-6475	153	157	υn	υn	PRON
ejpam-6475	153	158	→	→	SYM
ejpam-6475	153	159	υ	υ	NOUN
ejpam-6475	153	160	in	in	ADP
ejpam-6475	153	161	the	the	DET
ejpam-6475	153	162	nmr	nmr	NOUN
ejpam-6475	153	163	-	-	PUNCT
ejpam-6475	153	164	ms	ms	NOUN
ejpam-6475	153	165	topology	topology	NOUN
ejpam-6475	153	166	.	.	PUNCT
ejpam-6475	154	1	part	part	NOUN
ejpam-6475	154	2	3	3	NUM
ejpam-6475	154	3	:	:	PUNCT
ejpam-6475	154	4	strictness	strictness	NOUN
ejpam-6475	154	5	compared	compare	VERB
ejpam-6475	154	6	to	to	ADP
ejpam-6475	154	7	fuzzy	fuzzy	ADJ
ejpam-6475	154	8	metric	metric	ADJ
ejpam-6475	154	9	spaces	space	NOUN
ejpam-6475	154	10	in	in	ADP
ejpam-6475	154	11	a	a	DET
ejpam-6475	154	12	fuzzy	fuzzy	ADJ
ejpam-6475	154	13	metric	metric	ADJ
ejpam-6475	154	14	space	space	NOUN
ejpam-6475	154	15	(	(	PUNCT
ejpam-6475	154	16	fms	fms	PROPN
ejpam-6475	154	17	)	)	PUNCT
ejpam-6475	154	18	(	(	PUNCT
ejpam-6475	154	19	z	z	X
ejpam-6475	154	20	,	,	PUNCT
ejpam-6475	154	21	t	t	PROPN
ejpam-6475	154	22	,	,	PUNCT
ejpam-6475	154	23	∗	∗	NOUN
ejpam-6475	154	24	)	)	PUNCT
ejpam-6475	154	25	,	,	PUNCT
ejpam-6475	154	26	convergence	convergence	NOUN
ejpam-6475	154	27	only	only	ADV
ejpam-6475	154	28	requires	require	VERB
ejpam-6475	154	29	:	:	PUNCT
ejpam-6475	154	30	lim	lim	PROPN
ejpam-6475	154	31	n→∞	n→∞	X
ejpam-6475	154	32	t	t	PROPN
ejpam-6475	154	33	(	(	PUNCT
ejpam-6475	154	34	υn	υn	NOUN
ejpam-6475	154	35	,	,	PUNCT
ejpam-6475	154	36	υ	υ	PROPN
ejpam-6475	154	37	,	,	PUNCT
ejpam-6475	154	38	γ	γ	NOUN
ejpam-6475	154	39	)	)	PUNCT
ejpam-6475	154	40	=	=	SYM
ejpam-6475	155	1	1	1	X
ejpam-6475	155	2	.	.	PUNCT
ejpam-6475	156	1	the	the	DET
ejpam-6475	156	2	nmr	nmr	NOUN
ejpam-6475	156	3	-	-	PUNCT
ejpam-6475	156	4	ms	ms	NOUN
ejpam-6475	156	5	imposes	impose	VERB
ejpam-6475	156	6	two	two	NUM
ejpam-6475	156	7	additional	additional	ADJ
ejpam-6475	156	8	conditions	condition	NOUN
ejpam-6475	156	9	:	:	PUNCT
ejpam-6475	156	10	•	•	NOUN
ejpam-6475	156	11	limn→∞f(υn	limn→∞f(υn	VERB
ejpam-6475	156	12	,	,	PUNCT
ejpam-6475	156	13	υ	υ	INTJ
ejpam-6475	156	14	,	,	PUNCT
ejpam-6475	156	15	γ	γ	NOUN
ejpam-6475	156	16	)	)	PUNCT
ejpam-6475	156	17	=	=	SYM
ejpam-6475	156	18	0	0	NUM
ejpam-6475	156	19	:	:	PUNCT
ejpam-6475	156	20	ensures	ensure	VERB
ejpam-6475	156	21	falsity	falsity	NOUN
ejpam-6475	156	22	diminishes	diminish	VERB
ejpam-6475	156	23	.	.	PUNCT
ejpam-6475	157	1	•	•	NUM
ejpam-6475	157	2	limn→∞m(υn	limn→∞m(υn	ADJ
ejpam-6475	157	3	,	,	PUNCT
ejpam-6475	157	4	υ	υ	NOUN
ejpam-6475	157	5	,	,	PUNCT
ejpam-6475	157	6	υ	υ	NOUN
ejpam-6475	157	7	)	)	PUNCT
ejpam-6475	157	8	=	=	SYM
ejpam-6475	157	9	0	0	NUM
ejpam-6475	157	10	:	:	PUNCT
ejpam-6475	157	11	ensures	ensure	VERB
ejpam-6475	157	12	the	the	DET
ejpam-6475	157	13	metric	metric	ADJ
ejpam-6475	157	14	component	component	NOUN
ejpam-6475	157	15	vanishes	vanish	VERB
ejpam-6475	157	16	.	.	PUNCT
ejpam-6475	158	1	a.	a.	NOUN
ejpam-6475	158	2	malkawi	malkawi	ADP
ejpam-6475	158	3	/	/	SYM
ejpam-6475	158	4	eur	eur	PROPN
ejpam-6475	158	5	.	.	PUNCT
ejpam-6475	159	1	j.	j.	PROPN
ejpam-6475	159	2	pure	pure	PROPN
ejpam-6475	159	3	appl	appl	PROPN
ejpam-6475	159	4	.	.	PROPN
ejpam-6475	159	5	math	math	PROPN
ejpam-6475	159	6	,	,	PUNCT
ejpam-6475	159	7	18	18	NUM
ejpam-6475	159	8	(	(	PUNCT
ejpam-6475	159	9	3	3	NUM
ejpam-6475	159	10	)	)	PUNCT
ejpam-6475	159	11	(	(	PUNCT
ejpam-6475	159	12	2025	2025	NUM
ejpam-6475	159	13	)	)	PUNCT
ejpam-6475	159	14	,	,	PUNCT
ejpam-6475	159	15	6475	6475	NUM
ejpam-6475	159	16	9	9	NUM
ejpam-6475	159	17	of	of	ADP
ejpam-6475	159	18	20	20	NUM
ejpam-6475	159	19	example	example	NOUN
ejpam-6475	159	20	showing	show	VERB
ejpam-6475	159	21	strictness	strictness	NOUN
ejpam-6475	159	22	:	:	PUNCT
ejpam-6475	159	23	consider	consider	VERB
ejpam-6475	159	24	z	z	NOUN
ejpam-6475	159	25	=	=	NOUN
ejpam-6475	159	26	r	r	NOUN
ejpam-6475	159	27	with	with	ADP
ejpam-6475	159	28	:	:	PUNCT
ejpam-6475	159	29	•	•	NUM
ejpam-6475	159	30	t	t	NOUN
ejpam-6475	159	31	(	(	PUNCT
ejpam-6475	159	32	υ	υ	PROPN
ejpam-6475	159	33	,	,	PUNCT
ejpam-6475	159	34	ξ	ξ	PROPN
ejpam-6475	159	35	,	,	PUNCT
ejpam-6475	159	36	γ	γ	NOUN
ejpam-6475	159	37	)	)	PUNCT
ejpam-6475	159	38	=	=	NOUN
ejpam-6475	159	39	e−|υ−ξ|/γ	e−|υ−ξ|/γ	ADJ
ejpam-6475	159	40	,	,	PUNCT
ejpam-6475	159	41	•	•	X
ejpam-6475	159	42	f(υ	f(υ	PROPN
ejpam-6475	159	43	,	,	PUNCT
ejpam-6475	159	44	ξ	ξ	PROPN
ejpam-6475	159	45	,	,	PUNCT
ejpam-6475	159	46	γ	γ	NOUN
ejpam-6475	159	47	)	)	PUNCT
ejpam-6475	159	48	=	=	SYM
ejpam-6475	159	49	1−	1−	NUM
ejpam-6475	159	50	e−|υ−ξ|/γ	e−|υ−ξ|/γ	NOUN
ejpam-6475	159	51	,	,	PUNCT
ejpam-6475	159	52	•	•	NUM
ejpam-6475	159	53	m(υ	m(υ	PROPN
ejpam-6475	159	54	,	,	PUNCT
ejpam-6475	159	55	ξ	ξ	PROPN
ejpam-6475	159	56	,	,	PUNCT
ejpam-6475	159	57	ξ	ξ	NOUN
ejpam-6475	159	58	)	)	PUNCT
ejpam-6475	159	59	=	=	SYM
ejpam-6475	159	60	|υ	|υ	NOUN
ejpam-6475	159	61	−	−	PROPN
ejpam-6475	159	62	ξ|	ξ|	PROPN
ejpam-6475	159	63	.	.	PUNCT
ejpam-6475	160	1	let	let	VERB
ejpam-6475	160	2	υn	υn	NOUN
ejpam-6475	160	3	=	=	NOUN
ejpam-6475	160	4	1	1	NUM
ejpam-6475	160	5	/	/	SYM
ejpam-6475	160	6	n.	n.	NOUN
ejpam-6475	160	7	then	then	ADV
ejpam-6475	160	8	:	:	PUNCT
ejpam-6475	160	9	•	•	ADV
ejpam-6475	160	10	in	in	ADP
ejpam-6475	160	11	fms	fms	PROPN
ejpam-6475	160	12	:	:	PUNCT
ejpam-6475	160	13	t	t	PROPN
ejpam-6475	160	14	(	(	PUNCT
ejpam-6475	160	15	υn	υn	NOUN
ejpam-6475	160	16	,	,	PUNCT
ejpam-6475	160	17	0	0	NUM
ejpam-6475	160	18	,	,	PUNCT
ejpam-6475	160	19	γ	γ	NOUN
ejpam-6475	160	20	)	)	PUNCT
ejpam-6475	160	21	=	=	SYM
ejpam-6475	160	22	e−1/(nγ	e−1/(nγ	X
ejpam-6475	160	23	)	)	PUNCT
ejpam-6475	160	24	→	→	SYM
ejpam-6475	160	25	1	1	NUM
ejpam-6475	160	26	,	,	PUNCT
ejpam-6475	160	27	so	so	ADV
ejpam-6475	160	28	υn	υn	NOUN
ejpam-6475	160	29	→	→	SYM
ejpam-6475	160	30	0	0	NUM
ejpam-6475	160	31	.	.	NOUN
ejpam-6475	160	32	•	•	NOUN
ejpam-6475	160	33	in	in	ADP
ejpam-6475	160	34	nmr	nmr	NOUN
ejpam-6475	160	35	-	-	PUNCT
ejpam-6475	160	36	ms	ms	NOUN
ejpam-6475	160	37	:	:	PUNCT
ejpam-6475	160	38	we	we	PRON
ejpam-6475	160	39	also	also	ADV
ejpam-6475	160	40	need	need	VERB
ejpam-6475	160	41	:	:	PUNCT
ejpam-6475	160	42	–	–	PUNCT
ejpam-6475	160	43	f(υn	f(υn	NUM
ejpam-6475	160	44	,	,	PUNCT
ejpam-6475	160	45	0	0	NUM
ejpam-6475	160	46	,	,	PUNCT
ejpam-6475	160	47	γ	γ	NOUN
ejpam-6475	160	48	)	)	PUNCT
ejpam-6475	160	49	=	=	NOUN
ejpam-6475	160	50	1−	1−	NUM
ejpam-6475	160	51	e−1/(nγ	e−1/(nγ	NOUN
ejpam-6475	160	52	)	)	PUNCT
ejpam-6475	160	53	→	→	SYM
ejpam-6475	160	54	0	0	NUM
ejpam-6475	160	55	,	,	PUNCT
ejpam-6475	160	56	–	–	PUNCT
ejpam-6475	160	57	m(υn	m(υn	NUM
ejpam-6475	160	58	,	,	PUNCT
ejpam-6475	160	59	0	0	NUM
ejpam-6475	160	60	,	,	PUNCT
ejpam-6475	160	61	0	0	NUM
ejpam-6475	160	62	)	)	PUNCT
ejpam-6475	160	63	=	=	SYM
ejpam-6475	161	1	1	1	NUM
ejpam-6475	161	2	/	/	SYM
ejpam-6475	161	3	n	n	PROPN
ejpam-6475	161	4	→	→	SYM
ejpam-6475	161	5	0	0	NUM
ejpam-6475	161	6	.	.	PUNCT
ejpam-6475	162	1	thus	thus	ADV
ejpam-6475	162	2	,	,	PUNCT
ejpam-6475	162	3	υn	υn	X
ejpam-6475	162	4	→	→	SYM
ejpam-6475	162	5	0	0	NUM
ejpam-6475	162	6	in	in	ADP
ejpam-6475	162	7	both	both	PRON
ejpam-6475	162	8	,	,	PUNCT
ejpam-6475	162	9	showing	show	VERB
ejpam-6475	162	10	consistency	consistency	NOUN
ejpam-6475	162	11	.	.	PUNCT
ejpam-6475	163	1	however	however	ADV
ejpam-6475	163	2	,	,	PUNCT
ejpam-6475	163	3	if	if	SCONJ
ejpam-6475	163	4	we	we	PRON
ejpam-6475	163	5	modify	modify	VERB
ejpam-6475	163	6	f	f	PROPN
ejpam-6475	163	7	to	to	PART
ejpam-6475	163	8	not	not	PART
ejpam-6475	163	9	converge	converge	VERB
ejpam-6475	163	10	to	to	ADP
ejpam-6475	163	11	0	0	NUM
ejpam-6475	163	12	(	(	PUNCT
ejpam-6475	163	13	e.g.	e.g.	ADV
ejpam-6475	163	14	,	,	PUNCT
ejpam-6475	163	15	f(υn	f(υn	X
ejpam-6475	163	16	,	,	PUNCT
ejpam-6475	163	17	0	0	NUM
ejpam-6475	163	18	,	,	PUNCT
ejpam-6475	163	19	γ	γ	NOUN
ejpam-6475	163	20	)	)	PUNCT
ejpam-6475	163	21	=	=	NUM
ejpam-6475	163	22	0.5	0.5	NUM
ejpam-6475	163	23	)	)	PUNCT
ejpam-6475	163	24	,	,	PUNCT
ejpam-6475	163	25	the	the	DET
ejpam-6475	163	26	sequence	sequence	NOUN
ejpam-6475	163	27	would	would	AUX
ejpam-6475	163	28	converge	converge	VERB
ejpam-6475	163	29	in	in	ADP
ejpam-6475	163	30	fms	fms	PROPN
ejpam-6475	163	31	but	but	CCONJ
ejpam-6475	163	32	not	not	PART
ejpam-6475	163	33	in	in	ADP
ejpam-6475	163	34	nmr	nmr	NOUN
ejpam-6475	163	35	-	-	PUNCT
ejpam-6475	163	36	ms	ms	NOUN
ejpam-6475	163	37	,	,	PUNCT
ejpam-6475	163	38	demonstrating	demonstrate	VERB
ejpam-6475	163	39	the	the	DET
ejpam-6475	163	40	stricter	strict	ADJ
ejpam-6475	163	41	nature	nature	NOUN
ejpam-6475	163	42	of	of	ADP
ejpam-6475	163	43	nmr	nmr	NOUN
ejpam-6475	163	44	-	-	PUNCT
ejpam-6475	163	45	ms	ms	NOUN
ejpam-6475	163	46	convergence	convergence	NOUN
ejpam-6475	163	47	.	.	PUNCT
ejpam-6475	164	1	verification	verification	NOUN
ejpam-6475	164	2	of	of	ADP
ejpam-6475	164	3	topological	topological	ADJ
ejpam-6475	164	4	properties	property	NOUN
ejpam-6475	164	5	the	the	DET
ejpam-6475	164	6	nmr	nmr	NOUN
ejpam-6475	164	7	-	-	PUNCT
ejpam-6475	164	8	ms	ms	NOUN
ejpam-6475	164	9	topology	topology	NOUN
ejpam-6475	164	10	is	be	AUX
ejpam-6475	164	11	hausdorff	hausdorff	NOUN
ejpam-6475	164	12	because	because	SCONJ
ejpam-6475	164	13	:	:	PUNCT
ejpam-6475	164	14	•	•	X
ejpam-6475	164	15	if	if	SCONJ
ejpam-6475	164	16	υ	υ	PRON
ejpam-6475	164	17	̸=	̸=	PROPN
ejpam-6475	164	18	ξ	ξ	NUM
ejpam-6475	164	19	,	,	PUNCT
ejpam-6475	164	20	there	there	PRON
ejpam-6475	164	21	exists	exist	VERB
ejpam-6475	164	22	γ	γ	PROPN
ejpam-6475	164	23	>	>	X
ejpam-6475	164	24	0	0	NUM
ejpam-6475	164	25	such	such	ADJ
ejpam-6475	164	26	that	that	SCONJ
ejpam-6475	164	27	:	:	PUNCT
ejpam-6475	164	28	–	–	PUNCT
ejpam-6475	164	29	t	t	NOUN
ejpam-6475	164	30	(	(	PUNCT
ejpam-6475	164	31	υ	υ	PROPN
ejpam-6475	164	32	,	,	PUNCT
ejpam-6475	164	33	ξ	ξ	PROPN
ejpam-6475	164	34	,	,	PUNCT
ejpam-6475	164	35	γ	γ	NOUN
ejpam-6475	164	36	)	)	PUNCT
ejpam-6475	164	37	<	<	X
ejpam-6475	164	38	1	1	NUM
ejpam-6475	164	39	(	(	PUNCT
ejpam-6475	164	40	by	by	ADP
ejpam-6475	164	41	n1	n1	NOUN
ejpam-6475	164	42	)	)	PUNCT
ejpam-6475	164	43	,	,	PUNCT
ejpam-6475	164	44	–	–	PUNCT
ejpam-6475	164	45	m(υ	m(υ	PROPN
ejpam-6475	164	46	,	,	PUNCT
ejpam-6475	164	47	ξ	ξ	PROPN
ejpam-6475	164	48	,	,	PUNCT
ejpam-6475	164	49	ξ	ξ	NOUN
ejpam-6475	164	50	)	)	PUNCT
ejpam-6475	164	51	>	>	X
ejpam-6475	164	52	0	0	PUNCT
ejpam-6475	164	53	(	(	PUNCT
ejpam-6475	164	54	by	by	ADP
ejpam-6475	164	55	m2	m2	PROPN
ejpam-6475	164	56	)	)	PUNCT
ejpam-6475	164	57	.	.	PUNCT
ejpam-6475	165	1	•	•	NUM
ejpam-6475	165	2	thus	thus	ADV
ejpam-6475	165	3	,	,	PUNCT
ejpam-6475	165	4	we	we	PRON
ejpam-6475	165	5	can	can	AUX
ejpam-6475	165	6	find	find	VERB
ejpam-6475	165	7	disjoint	disjoint	NOUN
ejpam-6475	165	8	neighborhoods	neighborhood	NOUN
ejpam-6475	165	9	b(υ	b(υ	PROPN
ejpam-6475	165	10	,	,	PUNCT
ejpam-6475	165	11	ϵ	ϵ	X
ejpam-6475	165	12	,	,	PUNCT
ejpam-6475	165	13	γ	γ	NOUN
ejpam-6475	165	14	)	)	PUNCT
ejpam-6475	165	15	and	and	CCONJ
ejpam-6475	165	16	b(ξ	b(ξ	PROPN
ejpam-6475	165	17	,	,	PUNCT
ejpam-6475	165	18	ϵ	ϵ	X
ejpam-6475	165	19	,	,	PUNCT
ejpam-6475	165	20	γ	γ	NOUN
ejpam-6475	165	21	)	)	PUNCT
ejpam-6475	165	22	for	for	ADP
ejpam-6475	165	23	sufficiently	sufficiently	ADV
ejpam-6475	165	24	small	small	ADJ
ejpam-6475	165	25	ϵ.	ϵ.	NOUN
ejpam-6475	165	26	remark	remark	NOUN
ejpam-6475	165	27	1	1	NUM
ejpam-6475	165	28	.	.	PUNCT
ejpam-6475	166	1	the	the	DET
ejpam-6475	166	2	three	three	NUM
ejpam-6475	166	3	limit	limit	NOUN
ejpam-6475	166	4	conditions	condition	NOUN
ejpam-6475	166	5	in	in	ADP
ejpam-6475	166	6	theorem	theorem	ADJ
ejpam-6475	166	7	3	3	NUM
ejpam-6475	166	8	are	be	AUX
ejpam-6475	166	9	interdependent	interdependent	ADJ
ejpam-6475	166	10	through	through	ADP
ejpam-6475	166	11	the	the	DET
ejpam-6475	166	12	compatibility	compatibility	NOUN
ejpam-6475	166	13	condition	condition	NOUN
ejpam-6475	166	14	(	(	PUNCT
ejpam-6475	166	15	c1	c1	NOUN
ejpam-6475	166	16	):	):	PUNCT
ejpam-6475	166	17	t	t	PROPN
ejpam-6475	166	18	(	(	PUNCT
ejpam-6475	166	19	υn	υn	NOUN
ejpam-6475	166	20	,	,	PUNCT
ejpam-6475	166	21	υ	υ	PROPN
ejpam-6475	166	22	,	,	PUNCT
ejpam-6475	166	23	γ	γ	PROPN
ejpam-6475	166	24	)	)	PUNCT
ejpam-6475	166	25	≥	≥	NOUN
ejpam-6475	166	26	1	1	NUM
ejpam-6475	166	27	1	1	NUM
ejpam-6475	166	28	+	+	NOUN
ejpam-6475	166	29	m(υn	m(υn	ADJ
ejpam-6475	166	30	,	,	PUNCT
ejpam-6475	166	31	υ	υ	NOUN
ejpam-6475	166	32	,	,	PUNCT
ejpam-6475	166	33	υ	υ	NOUN
ejpam-6475	166	34	)	)	PUNCT
ejpam-6475	166	35	,	,	PUNCT
ejpam-6475	166	36	f(υn	f(υn	X
ejpam-6475	166	37	,	,	PUNCT
ejpam-6475	166	38	υ	υ	NOUN
ejpam-6475	166	39	,	,	PUNCT
ejpam-6475	166	40	γ	γ	NOUN
ejpam-6475	166	41	)	)	PUNCT
ejpam-6475	166	42	≤	≤	NOUN
ejpam-6475	166	43	m(υn	m(υn	PROPN
ejpam-6475	166	44	,	,	PUNCT
ejpam-6475	166	45	υ	υ	NOUN
ejpam-6475	166	46	,	,	PUNCT
ejpam-6475	166	47	υ	υ	NOUN
ejpam-6475	166	48	)	)	PUNCT
ejpam-6475	166	49	1	1	NUM
ejpam-6475	167	1	+	+	NOUN
ejpam-6475	167	2	m(υn	m(υn	ADJ
ejpam-6475	167	3	,	,	PUNCT
ejpam-6475	167	4	υ	υ	NOUN
ejpam-6475	167	5	,	,	PUNCT
ejpam-6475	167	6	υ	υ	NOUN
ejpam-6475	167	7	)	)	PUNCT
ejpam-6475	167	8	.	.	PUNCT
ejpam-6475	168	1	thus	thus	ADV
ejpam-6475	168	2	,	,	PUNCT
ejpam-6475	168	3	m(υn	m(υn	X
ejpam-6475	168	4	,	,	PUNCT
ejpam-6475	168	5	υ	υ	NOUN
ejpam-6475	168	6	,	,	PUNCT
ejpam-6475	168	7	υ	υ	NOUN
ejpam-6475	168	8	)	)	PUNCT
ejpam-6475	168	9	→	→	SYM
ejpam-6475	168	10	0	0	NUM
ejpam-6475	168	11	implies	imply	VERB
ejpam-6475	168	12	both	both	DET
ejpam-6475	168	13	t	t	PROPN
ejpam-6475	168	14	→	→	SYM
ejpam-6475	168	15	1	1	NUM
ejpam-6475	168	16	and	and	CCONJ
ejpam-6475	168	17	f	f	PROPN
ejpam-6475	168	18	→	→	SYM
ejpam-6475	168	19	0	0	NUM
ejpam-6475	168	20	,	,	PUNCT
ejpam-6475	168	21	but	but	CCONJ
ejpam-6475	168	22	the	the	DET
ejpam-6475	168	23	converse	converse	NOUN
ejpam-6475	168	24	is	be	AUX
ejpam-6475	168	25	n’t	not	PART
ejpam-6475	168	26	automatic	automatic	ADJ
ejpam-6475	168	27	,	,	PUNCT
ejpam-6475	168	28	making	make	VERB
ejpam-6475	168	29	all	all	DET
ejpam-6475	168	30	three	three	NUM
ejpam-6475	168	31	conditions	condition	NOUN
ejpam-6475	168	32	necessary	necessary	ADJ
ejpam-6475	168	33	for	for	ADP
ejpam-6475	168	34	the	the	DET
ejpam-6475	168	35	full	full	ADJ
ejpam-6475	168	36	nmr	nmr	NOUN
ejpam-6475	168	37	-	-	PUNCT
ejpam-6475	168	38	ms	ms	NOUN
ejpam-6475	168	39	convergence	convergence	NOUN
ejpam-6475	168	40	.	.	PUNCT
ejpam-6475	169	1	a.	a.	NOUN
ejpam-6475	169	2	malkawi	malkawi	ADP
ejpam-6475	169	3	/	/	SYM
ejpam-6475	169	4	eur	eur	PROPN
ejpam-6475	169	5	.	.	PUNCT
ejpam-6475	170	1	j.	j.	PROPN
ejpam-6475	170	2	pure	pure	PROPN
ejpam-6475	170	3	appl	appl	PROPN
ejpam-6475	170	4	.	.	PROPN
ejpam-6475	170	5	math	math	PROPN
ejpam-6475	170	6	,	,	PUNCT
ejpam-6475	170	7	18	18	NUM
ejpam-6475	170	8	(	(	PUNCT
ejpam-6475	170	9	3	3	NUM
ejpam-6475	170	10	)	)	PUNCT
ejpam-6475	170	11	(	(	PUNCT
ejpam-6475	170	12	2025	2025	NUM
ejpam-6475	170	13	)	)	PUNCT
ejpam-6475	170	14	,	,	PUNCT
ejpam-6475	170	15	6475	6475	NUM
ejpam-6475	170	16	10	10	NUM
ejpam-6475	170	17	of	of	ADP
ejpam-6475	170	18	20	20	NUM
ejpam-6475	170	19	3	3	NUM
ejpam-6475	170	20	.	.	PUNCT
ejpam-6475	171	1	examples	example	NOUN
ejpam-6475	171	2	and	and	CCONJ
ejpam-6475	171	3	applications	application	NOUN
ejpam-6475	171	4	1	1	NUM
ejpam-6475	171	5	.	.	NOUN
ejpam-6475	171	6	example	example	NOUN
ejpam-6475	171	7	for	for	ADP
ejpam-6475	171	8	theorem	theorem	NOUN
ejpam-6475	171	9	1	1	NUM
ejpam-6475	171	10	(	(	PUNCT
ejpam-6475	171	11	fms	fms	PROPN
ejpam-6475	171	12	embedding	embed	VERB
ejpam-6475	171	13	in	in	ADP
ejpam-6475	171	14	nmr	nmr	NOUN
ejpam-6475	171	15	-	-	PUNCT
ejpam-6475	171	16	ms	ms	NOUN
ejpam-6475	171	17	)	)	PUNCT
ejpam-6475	171	18	example	example	NOUN
ejpam-6475	171	19	1	1	NUM
ejpam-6475	171	20	(	(	PUNCT
ejpam-6475	171	21	standard	standard	ADJ
ejpam-6475	171	22	fms	fms	PROPN
ejpam-6475	171	23	as	as	ADP
ejpam-6475	171	24	nmr	nmr	NOUN
ejpam-6475	171	25	-	-	PUNCT
ejpam-6475	171	26	ms	ms	NOUN
ejpam-6475	171	27	with	with	ADP
ejpam-6475	171	28	full	full	ADJ
ejpam-6475	171	29	verification	verification	NOUN
ejpam-6475	171	30	)	)	PUNCT
ejpam-6475	171	31	.	.	PUNCT
ejpam-6475	172	1	consider	consider	VERB
ejpam-6475	172	2	the	the	DET
ejpam-6475	172	3	fuzzy	fuzzy	ADJ
ejpam-6475	172	4	metric	metric	ADJ
ejpam-6475	172	5	space	space	NOUN
ejpam-6475	172	6	(	(	PUNCT
ejpam-6475	172	7	fms	fms	PROPN
ejpam-6475	172	8	)	)	PUNCT
ejpam-6475	172	9	(	(	PUNCT
ejpam-6475	172	10	r	r	NOUN
ejpam-6475	172	11	,	,	PUNCT
ejpam-6475	172	12	t	t	NOUN
ejpam-6475	172	13	,	,	PUNCT
ejpam-6475	172	14	∗	∗	PROPN
ejpam-6475	172	15	)	)	PUNCT
ejpam-6475	173	1	where	where	SCONJ
ejpam-6475	173	2	:	:	PUNCT
ejpam-6475	173	3	•	•	NUM
ejpam-6475	173	4	t	t	NOUN
ejpam-6475	173	5	(	(	PUNCT
ejpam-6475	173	6	υ	υ	PROPN
ejpam-6475	173	7	,	,	PUNCT
ejpam-6475	173	8	ξ	ξ	PROPN
ejpam-6475	173	9	,	,	PUNCT
ejpam-6475	173	10	γ	γ	NOUN
ejpam-6475	173	11	)	)	PUNCT
ejpam-6475	173	12	=	=	SYM
ejpam-6475	173	13	e	e	X
ejpam-6475	173	14	−	−	NOUN
ejpam-6475	173	15	|υ−ξ|	|υ−ξ|	PUNCT
ejpam-6475	173	16	γ	γ	X
ejpam-6475	173	17	(	(	PUNCT
ejpam-6475	173	18	standard	standard	ADJ
ejpam-6475	173	19	exponential	exponential	ADJ
ejpam-6475	173	20	fuzzy	fuzzy	ADJ
ejpam-6475	173	21	metric	metric	NOUN
ejpam-6475	173	22	)	)	PUNCT
ejpam-6475	173	23	,	,	PUNCT
ejpam-6475	173	24	•	•	NUM
ejpam-6475	173	25	∗	∗	NOUN
ejpam-6475	173	26	is	be	AUX
ejpam-6475	173	27	the	the	DET
ejpam-6475	173	28	product	product	NOUN
ejpam-6475	173	29	t	t	NOUN
ejpam-6475	173	30	-	-	PUNCT
ejpam-6475	173	31	norm	norm	NOUN
ejpam-6475	173	32	(	(	PUNCT
ejpam-6475	173	33	a	a	DET
ejpam-6475	173	34	∗	∗	NOUN
ejpam-6475	173	35	b	b	NOUN
ejpam-6475	173	36	=	=	SYM
ejpam-6475	173	37	a	a	DET
ejpam-6475	173	38	·	·	PUNCT
ejpam-6475	173	39	b	b	X
ejpam-6475	173	40	)	)	PUNCT
ejpam-6475	173	41	.	.	PUNCT
ejpam-6475	174	1	we	we	PRON
ejpam-6475	174	2	construct	construct	VERB
ejpam-6475	174	3	a	a	DET
ejpam-6475	174	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	174	5	mr	mr	ADJ
ejpam-6475	174	6	-	-	PUNCT
ejpam-6475	174	7	metric	metric	ADJ
ejpam-6475	174	8	space	space	NOUN
ejpam-6475	174	9	(	(	PUNCT
ejpam-6475	174	10	nmr	nmr	NOUN
ejpam-6475	174	11	-	-	PUNCT
ejpam-6475	174	12	ms	ms	NOUN
ejpam-6475	174	13	)	)	PUNCT
ejpam-6475	174	14	(	(	PUNCT
ejpam-6475	174	15	r	r	NOUN
ejpam-6475	174	16	,	,	PUNCT
ejpam-6475	174	17	m	m	PROPN
ejpam-6475	174	18	,	,	PUNCT
ejpam-6475	174	19	t	t	PROPN
ejpam-6475	174	20	,	,	PUNCT
ejpam-6475	174	21	f	f	PROPN
ejpam-6475	174	22	,	,	PUNCT
ejpam-6475	174	23	i	i	PRON
ejpam-6475	174	24	,	,	PUNCT
ejpam-6475	174	25	•	•	PROPN
ejpam-6475	174	26	,	,	PUNCT
ejpam-6475	174	27	⋄	⋄	PROPN
ejpam-6475	174	28	,	,	PUNCT
ejpam-6475	174	29	⋆	⋆	INTJ
ejpam-6475	174	30	,	,	PUNCT
ejpam-6475	174	31	r	r	NOUN
ejpam-6475	174	32	)	)	PUNCT
ejpam-6475	174	33	as	as	SCONJ
ejpam-6475	174	34	follows	follow	VERB
ejpam-6475	174	35	:	:	PUNCT
ejpam-6475	174	36	1	1	X
ejpam-6475	174	37	.	.	X
ejpam-6475	174	38	mr	mr	ADJ
ejpam-6475	174	39	-	-	PUNCT
ejpam-6475	174	40	metric	metric	ADJ
ejpam-6475	174	41	component	component	NOUN
ejpam-6475	174	42	m	m	VERB
ejpam-6475	174	43	define	define	VERB
ejpam-6475	174	44	the	the	DET
ejpam-6475	174	45	metric	metric	ADJ
ejpam-6475	174	46	m	m	NOUN
ejpam-6475	174	47	:	:	PUNCT
ejpam-6475	174	48	r3	r3	PROPN
ejpam-6475	174	49	→	→	SYM
ejpam-6475	174	50	[	[	X
ejpam-6475	174	51	0,∞	0,∞	NOUN
ejpam-6475	174	52	)	)	PUNCT
ejpam-6475	174	53	by	by	ADP
ejpam-6475	174	54	:	:	PUNCT
ejpam-6475	174	55	m(υ	m(υ	PROPN
ejpam-6475	174	56	,	,	PUNCT
ejpam-6475	174	57	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	174	58	)	)	PUNCT
ejpam-6475	174	59	=	=	PRON
ejpam-6475	174	60	{	{	PUNCT
ejpam-6475	174	61	0	0	NUM
ejpam-6475	174	62	if	if	SCONJ
ejpam-6475	174	63	υ	υ	PROPN
ejpam-6475	174	64	=	=	SYM
ejpam-6475	174	65	ξ	ξ	PROPN
ejpam-6475	174	66	=	=	SYM
ejpam-6475	174	67	ℑ	ℑ	PROPN
ejpam-6475	174	68	,	,	PUNCT
ejpam-6475	174	69	1	1	NUM
ejpam-6475	174	70	otherwise	otherwise	ADV
ejpam-6475	174	71	.	.	PUNCT
ejpam-6475	175	1	verification	verification	NOUN
ejpam-6475	175	2	of	of	ADP
ejpam-6475	175	3	axioms	axiom	NOUN
ejpam-6475	175	4	:	:	PUNCT
ejpam-6475	175	5	(	(	PUNCT
ejpam-6475	175	6	m1	m1	NOUN
ejpam-6475	175	7	)	)	PUNCT
ejpam-6475	175	8	positivity	positivity	NOUN
ejpam-6475	175	9	:	:	PUNCT
ejpam-6475	175	10	immediate	immediate	ADJ
ejpam-6475	175	11	from	from	ADP
ejpam-6475	175	12	definition	definition	NOUN
ejpam-6475	175	13	.	.	PUNCT
ejpam-6475	176	1	(	(	PUNCT
ejpam-6475	176	2	m2	m2	NOUN
ejpam-6475	176	3	)	)	PUNCT
ejpam-6475	176	4	identity	identity	NOUN
ejpam-6475	176	5	:	:	PUNCT
ejpam-6475	176	6	m(υ	m(υ	PROPN
ejpam-6475	176	7	,	,	PUNCT
ejpam-6475	176	8	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	176	9	)	)	PUNCT
ejpam-6475	176	10	=	=	SYM
ejpam-6475	176	11	0	0	NUM
ejpam-6475	176	12	⇐	⇐	ADJ
ejpam-6475	176	13	⇒	⇒	NOUN
ejpam-6475	176	14	υ	υ	X
ejpam-6475	176	15	=	=	SYM
ejpam-6475	176	16	ξ	ξ	X
ejpam-6475	176	17	=	=	PUNCT
ejpam-6475	176	18	ℑ	ℑ	NOUN
ejpam-6475	176	19	by	by	ADP
ejpam-6475	176	20	construction	construction	NOUN
ejpam-6475	176	21	.	.	PUNCT
ejpam-6475	177	1	(	(	PUNCT
ejpam-6475	177	2	m3	m3	PROPN
ejpam-6475	177	3	)	)	PUNCT
ejpam-6475	177	4	symmetry	symmetry	NOUN
ejpam-6475	177	5	:	:	PUNCT
ejpam-6475	177	6	m	m	VERB
ejpam-6475	177	7	is	be	AUX
ejpam-6475	177	8	invariant	invariant	ADJ
ejpam-6475	177	9	under	under	ADP
ejpam-6475	177	10	permutations	permutation	NOUN
ejpam-6475	177	11	of	of	ADP
ejpam-6475	177	12	υ	υ	PROPN
ejpam-6475	177	13	,	,	PUNCT
ejpam-6475	177	14	ξ,ℑ.	ξ,ℑ.	PROPN
ejpam-6475	177	15	(	(	PUNCT
ejpam-6475	177	16	m4	m4	PROPN
ejpam-6475	177	17	)	)	PUNCT
ejpam-6475	177	18	mr	mr	PROPN
ejpam-6475	177	19	-	-	PUNCT
ejpam-6475	177	20	triangle	triangle	NOUN
ejpam-6475	177	21	inequality	inequality	NOUN
ejpam-6475	177	22	:	:	PUNCT
ejpam-6475	177	23	for	for	ADP
ejpam-6475	177	24	r	r	NOUN
ejpam-6475	177	25	=	=	SYM
ejpam-6475	177	26	2	2	NUM
ejpam-6475	177	27	and	and	CCONJ
ejpam-6475	177	28	⋆	⋆	NOUN
ejpam-6475	177	29	=	=	SYM
ejpam-6475	178	1	+	+	ADJ
ejpam-6475	178	2	:	:	PUNCT
ejpam-6475	178	3	m(υ	m(υ	PROPN
ejpam-6475	178	4	,	,	PUNCT
ejpam-6475	178	5	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	178	6	)	)	PUNCT
ejpam-6475	178	7	≤	≤	NUM
ejpam-6475	178	8	2	2	NUM
ejpam-6475	179	1	[	[	X
ejpam-6475	179	2	m(υ	m(υ	PROPN
ejpam-6475	179	3	,	,	PUNCT
ejpam-6475	179	4	ξ	ξ	PROPN
ejpam-6475	179	5	,	,	PUNCT
ejpam-6475	179	6	ℓ	ℓ	INTJ
ejpam-6475	179	7	)	)	PUNCT
ejpam-6475	179	8	+	+	PROPN
ejpam-6475	179	9	m(υ	m(υ	PROPN
ejpam-6475	179	10	,	,	PUNCT
ejpam-6475	179	11	ℓ,ℑ	ℓ,ℑ	PROPN
ejpam-6475	179	12	)	)	PUNCT
ejpam-6475	180	1	+	+	SYM
ejpam-6475	180	2	m(ℓ	m(ℓ	NOUN
ejpam-6475	180	3	,	,	PUNCT
ejpam-6475	180	4	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	180	5	)	)	PUNCT
ejpam-6475	180	6	]	]	PUNCT
ejpam-6475	180	7	.	.	PUNCT
ejpam-6475	181	1	–	–	PUNCT
ejpam-6475	181	2	if	if	SCONJ
ejpam-6475	181	3	υ	υ	PROPN
ejpam-6475	181	4	=	=	SYM
ejpam-6475	181	5	ξ	ξ	PROPN
ejpam-6475	181	6	=	=	SYM
ejpam-6475	181	7	ℑ	ℑ	PROPN
ejpam-6475	181	8	,	,	PUNCT
ejpam-6475	181	9	both	both	DET
ejpam-6475	181	10	sides	side	NOUN
ejpam-6475	181	11	are	be	AUX
ejpam-6475	181	12	0	0	NUM
ejpam-6475	181	13	.	.	PUNCT
ejpam-6475	182	1	–	–	PUNCT
ejpam-6475	182	2	otherwise	otherwise	ADV
ejpam-6475	182	3	,	,	PUNCT
ejpam-6475	182	4	right	right	ADJ
ejpam-6475	182	5	-	-	PUNCT
ejpam-6475	182	6	hand	hand	NOUN
ejpam-6475	182	7	side	side	NOUN
ejpam-6475	182	8	≥	≥	NOUN
ejpam-6475	182	9	2×	2×	NUM
ejpam-6475	182	10	1	1	NUM
ejpam-6475	182	11	=	=	SYM
ejpam-6475	182	12	2	2	NUM
ejpam-6475	182	13	(	(	PUNCT
ejpam-6475	182	14	since	since	SCONJ
ejpam-6475	182	15	at	at	ADV
ejpam-6475	182	16	least	least	ADV
ejpam-6475	182	17	one	one	NUM
ejpam-6475	182	18	term	term	NOUN
ejpam-6475	182	19	m	m	NOUN
ejpam-6475	182	20	=	=	NOUN
ejpam-6475	182	21	1	1	NUM
ejpam-6475	182	22	)	)	PUNCT
ejpam-6475	182	23	,	,	PUNCT
ejpam-6475	182	24	while	while	SCONJ
ejpam-6475	182	25	left	left	ADJ
ejpam-6475	182	26	-	-	PUNCT
ejpam-6475	182	27	hand	hand	NOUN
ejpam-6475	182	28	side	side	NOUN
ejpam-6475	182	29	is	be	AUX
ejpam-6475	182	30	1	1	NUM
ejpam-6475	182	31	≤	≤	NUM
ejpam-6475	182	32	2	2	NUM
ejpam-6475	182	33	.	.	NOUN
ejpam-6475	182	34	2	2	NUM
ejpam-6475	182	35	.	.	NUM
ejpam-6475	182	36	neutrosophic	neutrosophic	ADJ
ejpam-6475	182	37	components	component	NOUN
ejpam-6475	182	38	t	t	PROPN
ejpam-6475	182	39	,	,	PUNCT
ejpam-6475	182	40	f	f	PROPN
ejpam-6475	182	41	,	,	PUNCT
ejpam-6475	182	42	i	i	PRON
ejpam-6475	182	43	•	•	VERB
ejpam-6475	182	44	truth	truth	NOUN
ejpam-6475	182	45	membership	membership	NOUN
ejpam-6475	182	46	(	(	PUNCT
ejpam-6475	182	47	t	t	PROPN
ejpam-6475	182	48	):	):	PUNCT
ejpam-6475	182	49	inherited	inherit	VERB
ejpam-6475	182	50	directly	directly	ADV
ejpam-6475	182	51	from	from	ADP
ejpam-6475	182	52	fms	fms	PROPN
ejpam-6475	182	53	.	.	PUNCT
ejpam-6475	183	1	•	•	NUM
ejpam-6475	183	2	falsity	falsity	NOUN
ejpam-6475	183	3	membership	membership	NOUN
ejpam-6475	183	4	(	(	PUNCT
ejpam-6475	183	5	f	f	NOUN
ejpam-6475	183	6	):	):	PUNCT
ejpam-6475	183	7	defined	define	VERB
ejpam-6475	183	8	as	as	ADP
ejpam-6475	183	9	f(υ	f(υ	PROPN
ejpam-6475	183	10	,	,	PUNCT
ejpam-6475	183	11	ξ	ξ	PROPN
ejpam-6475	183	12	,	,	PUNCT
ejpam-6475	183	13	γ	γ	NOUN
ejpam-6475	183	14	)	)	PUNCT
ejpam-6475	183	15	=	=	SYM
ejpam-6475	183	16	1−	1−	NUM
ejpam-6475	183	17	t	t	PROPN
ejpam-6475	183	18	(	(	PUNCT
ejpam-6475	183	19	υ	υ	PROPN
ejpam-6475	183	20	,	,	PUNCT
ejpam-6475	183	21	ξ	ξ	PROPN
ejpam-6475	183	22	,	,	PUNCT
ejpam-6475	183	23	γ	γ	NOUN
ejpam-6475	183	24	)	)	PUNCT
ejpam-6475	183	25	=	=	SYM
ejpam-6475	183	26	1−	1−	NUM
ejpam-6475	183	27	e	e	X
ejpam-6475	183	28	−	−	PROPN
ejpam-6475	183	29	|υ−ξ|	|υ−ξ|	PUNCT
ejpam-6475	183	30	γ	γ	X
ejpam-6475	183	31	.	.	PROPN
ejpam-6475	183	32	•	•	NUM
ejpam-6475	183	33	indeterminacy	indeterminacy	NOUN
ejpam-6475	183	34	(	(	PUNCT
ejpam-6475	183	35	i	i	NOUN
ejpam-6475	183	36	):	):	PUNCT
ejpam-6475	183	37	set	set	VERB
ejpam-6475	183	38	to	to	ADP
ejpam-6475	183	39	i(υ	i(υ	NOUN
ejpam-6475	183	40	,	,	PUNCT
ejpam-6475	183	41	ξ	ξ	PROPN
ejpam-6475	183	42	,	,	PUNCT
ejpam-6475	183	43	γ	γ	NOUN
ejpam-6475	183	44	)	)	PUNCT
ejpam-6475	183	45	=	=	SYM
ejpam-6475	183	46	0	0	PUNCT
ejpam-6475	183	47	(	(	PUNCT
ejpam-6475	183	48	no	no	DET
ejpam-6475	183	49	indeterminacy	indeterminacy	NOUN
ejpam-6475	183	50	)	)	PUNCT
ejpam-6475	183	51	.	.	PUNCT
ejpam-6475	184	1	verification	verification	NOUN
ejpam-6475	184	2	of	of	ADP
ejpam-6475	184	3	neutrosophic	neutrosophic	ADJ
ejpam-6475	184	4	axioms	axiom	NOUN
ejpam-6475	184	5	:	:	PUNCT
ejpam-6475	184	6	(	(	PUNCT
ejpam-6475	184	7	n1	n1	NOUN
ejpam-6475	184	8	-	-	PUNCT
ejpam-6475	184	9	n4	n4	PROPN
ejpam-6475	184	10	)	)	PUNCT
ejpam-6475	185	1	t	t	PROPN
ejpam-6475	185	2	satisfies	satisfy	VERB
ejpam-6475	185	3	all	all	DET
ejpam-6475	185	4	fms	fms	PROPN
ejpam-6475	185	5	axioms	axiom	NOUN
ejpam-6475	185	6	(	(	PUNCT
ejpam-6475	185	7	inherited	inherit	VERB
ejpam-6475	185	8	)	)	PUNCT
ejpam-6475	185	9	.	.	PUNCT
ejpam-6475	186	1	a.	a.	NOUN
ejpam-6475	186	2	malkawi	malkawi	ADP
ejpam-6475	186	3	/	/	SYM
ejpam-6475	186	4	eur	eur	PROPN
ejpam-6475	186	5	.	.	PUNCT
ejpam-6475	187	1	j.	j.	PROPN
ejpam-6475	187	2	pure	pure	PROPN
ejpam-6475	187	3	appl	appl	PROPN
ejpam-6475	187	4	.	.	PROPN
ejpam-6475	187	5	math	math	PROPN
ejpam-6475	187	6	,	,	PUNCT
ejpam-6475	187	7	18	18	NUM
ejpam-6475	187	8	(	(	PUNCT
ejpam-6475	187	9	3	3	NUM
ejpam-6475	187	10	)	)	PUNCT
ejpam-6475	187	11	(	(	PUNCT
ejpam-6475	187	12	2025	2025	NUM
ejpam-6475	187	13	)	)	PUNCT
ejpam-6475	187	14	,	,	PUNCT
ejpam-6475	187	15	6475	6475	NUM
ejpam-6475	187	16	11	11	NUM
ejpam-6475	187	17	of	of	ADP
ejpam-6475	187	18	20	20	NUM
ejpam-6475	187	19	(	(	PUNCT
ejpam-6475	187	20	n5	n5	PROPN
ejpam-6475	187	21	-	-	PUNCT
ejpam-6475	187	22	n8	n8	NOUN
ejpam-6475	187	23	)	)	PUNCT
ejpam-6475	187	24	for	for	ADP
ejpam-6475	187	25	f	f	PROPN
ejpam-6475	187	26	:	:	PUNCT
ejpam-6475	187	27	(	(	PUNCT
ejpam-6475	187	28	n5	n5	PROPN
ejpam-6475	187	29	)	)	PUNCT
ejpam-6475	187	30	f(υ	f(υ	PROPN
ejpam-6475	187	31	,	,	PUNCT
ejpam-6475	187	32	ξ	ξ	PROPN
ejpam-6475	187	33	,	,	PUNCT
ejpam-6475	187	34	γ	γ	NOUN
ejpam-6475	187	35	)	)	PUNCT
ejpam-6475	187	36	=	=	SYM
ejpam-6475	187	37	0	0	NUM
ejpam-6475	187	38	⇐	⇐	ADJ
ejpam-6475	187	39	⇒	⇒	NOUN
ejpam-6475	187	40	υ	υ	X
ejpam-6475	187	41	=	=	SYM
ejpam-6475	187	42	ξ	ξ	PROPN
ejpam-6475	187	43	(	(	PUNCT
ejpam-6475	187	44	from	from	ADP
ejpam-6475	187	45	n1	n1	PROPN
ejpam-6475	187	46	for	for	ADP
ejpam-6475	187	47	t	t	PROPN
ejpam-6475	187	48	)	)	PUNCT
ejpam-6475	187	49	.	.	PUNCT
ejpam-6475	188	1	(	(	PUNCT
ejpam-6475	188	2	n6	n6	PROPN
ejpam-6475	188	3	)	)	PUNCT
ejpam-6475	188	4	symmetry	symmetry	NOUN
ejpam-6475	188	5	inherited	inherit	VERB
ejpam-6475	188	6	from	from	ADP
ejpam-6475	188	7	t	t	PROPN
ejpam-6475	188	8	.	.	PUNCT
ejpam-6475	189	1	(	(	PUNCT
ejpam-6475	189	2	n7	n7	PROPN
ejpam-6475	189	3	)	)	PUNCT
ejpam-6475	189	4	f(υ	f(υ	PROPN
ejpam-6475	189	5	,	,	PUNCT
ejpam-6475	189	6	ξ	ξ	PROPN
ejpam-6475	189	7	,	,	PUNCT
ejpam-6475	189	8	γ	γ	NOUN
ejpam-6475	189	9	)	)	PUNCT
ejpam-6475	189	10	⋄	⋄	PROPN
ejpam-6475	189	11	f(ξ,ℑ	f(ξ,ℑ	NUM
ejpam-6475	189	12	,	,	PUNCT
ejpam-6475	189	13	ρ	ρ	PROPN
ejpam-6475	189	14	)	)	PUNCT
ejpam-6475	189	15	≥	≥	PROPN
ejpam-6475	189	16	f(υ,ℑ	f(υ,ℑ	PROPN
ejpam-6475	189	17	,	,	PUNCT
ejpam-6475	189	18	γ	γ	PROPN
ejpam-6475	189	19	+	+	PROPN
ejpam-6475	189	20	ρ	ρ	PROPN
ejpam-6475	189	21	)	)	PUNCT
ejpam-6475	189	22	with	with	ADP
ejpam-6475	189	23	⋄	⋄	PROPN
ejpam-6475	189	24	=	=	SYM
ejpam-6475	189	25	max	max	PROPN
ejpam-6475	189	26	:	:	PUNCT
ejpam-6475	189	27	max	max	PROPN
ejpam-6475	189	28	(	(	PUNCT
ejpam-6475	189	29	1−	1−	NUM
ejpam-6475	189	30	e	e	NOUN
ejpam-6475	189	31	−	−	PROPN
ejpam-6475	189	32	|υ−ξ|	|υ−ξ|	PUNCT
ejpam-6475	189	33	γ	γ	X
ejpam-6475	189	34	,	,	PUNCT
ejpam-6475	189	35	1−	1−	NUM
ejpam-6475	189	36	e	e	NOUN
ejpam-6475	189	37	−	−	PROPN
ejpam-6475	189	38	|ξ−ℑ|	|ξ−ℑ|	NUM
ejpam-6475	189	39	ρ	ρ	PROPN
ejpam-6475	189	40	)	)	PUNCT
ejpam-6475	189	41	≥	≥	NOUN
ejpam-6475	189	42	1−	1−	NUM
ejpam-6475	189	43	e	e	NOUN
ejpam-6475	189	44	−	−	PROPN
ejpam-6475	189	45	|υ−ℑ|	|υ−ℑ|	NUM
ejpam-6475	189	46	γ+ρ	γ+ρ	NUM
ejpam-6475	189	47	,	,	PUNCT
ejpam-6475	189	48	which	which	PRON
ejpam-6475	189	49	holds	hold	VERB
ejpam-6475	189	50	because	because	SCONJ
ejpam-6475	189	51	e	e	NOUN
ejpam-6475	189	52	−	−	PROPN
ejpam-6475	189	53	|υ−ℑ|	|υ−ℑ|	NUM
ejpam-6475	189	54	γ+ρ	γ+ρ	X
ejpam-6475	189	55	≥	≥	X
ejpam-6475	189	56	e	e	NOUN
ejpam-6475	189	57	−	−	PROPN
ejpam-6475	189	58	|υ−ξ|	|υ−ξ|	X
ejpam-6475	189	59	γ	γ	X
ejpam-6475	189	60	·	·	PUNCT
ejpam-6475	189	61	e−	e−	X
ejpam-6475	189	62	|ξ−ℑ|	|ξ−ℑ|	NUM
ejpam-6475	189	63	ρ	ρ	PROPN
ejpam-6475	189	64	(	(	PUNCT
ejpam-6475	189	65	subadditivity	subadditivity	NOUN
ejpam-6475	189	66	)	)	PUNCT
ejpam-6475	189	67	.	.	PUNCT
ejpam-6475	190	1	(	(	PUNCT
ejpam-6475	190	2	n8	n8	PROPN
ejpam-6475	190	3	)	)	PUNCT
ejpam-6475	190	4	limγ→∞f(υ	limγ→∞f(υ	PROPN
ejpam-6475	190	5	,	,	PUNCT
ejpam-6475	190	6	ξ	ξ	PROPN
ejpam-6475	190	7	,	,	PUNCT
ejpam-6475	190	8	γ	γ	NOUN
ejpam-6475	190	9	)	)	PUNCT
ejpam-6475	190	10	=	=	SYM
ejpam-6475	190	11	0	0	PUNCT
ejpam-6475	190	12	(	(	PUNCT
ejpam-6475	190	13	since	since	SCONJ
ejpam-6475	190	14	t	t	PROPN
ejpam-6475	190	15	→	→	SYM
ejpam-6475	190	16	1	1	NUM
ejpam-6475	190	17	)	)	PUNCT
ejpam-6475	190	18	.	.	PUNCT
ejpam-6475	191	1	•	•	INTJ
ejpam-6475	191	2	i	i	PRON
ejpam-6475	191	3	trivially	trivially	ADV
ejpam-6475	191	4	satisfies	satisfy	VERB
ejpam-6475	191	5	all	all	DET
ejpam-6475	191	6	axioms	axiom	NOUN
ejpam-6475	191	7	.	.	PUNCT
ejpam-6475	192	1	3	3	X
ejpam-6475	192	2	.	.	X
ejpam-6475	192	3	compatibility	compatibility	NOUN
ejpam-6475	192	4	conditions	condition	NOUN
ejpam-6475	192	5	(	(	PUNCT
ejpam-6475	192	6	c1	c1	NOUN
ejpam-6475	192	7	)	)	PUNCT
ejpam-6475	192	8	metric	metric	ADJ
ejpam-6475	192	9	-	-	PUNCT
ejpam-6475	192	10	neutrosophic	neutrosophic	ADJ
ejpam-6475	192	11	link	link	NOUN
ejpam-6475	192	12	:	:	PUNCT
ejpam-6475	192	13	t	t	PROPN
ejpam-6475	192	14	(	(	PUNCT
ejpam-6475	192	15	υ	υ	PROPN
ejpam-6475	192	16	,	,	PUNCT
ejpam-6475	192	17	ξ	ξ	PROPN
ejpam-6475	192	18	,	,	PUNCT
ejpam-6475	192	19	γ	γ	NOUN
ejpam-6475	192	20	)	)	PUNCT
ejpam-6475	192	21	=	=	SYM
ejpam-6475	192	22	e	e	X
ejpam-6475	192	23	−	−	PROPN
ejpam-6475	192	24	|υ−ξ|	|υ−ξ|	PUNCT
ejpam-6475	192	25	γ	γ	X
ejpam-6475	192	26	≥	≥	NUM
ejpam-6475	192	27	1	1	NUM
ejpam-6475	192	28	1	1	NUM
ejpam-6475	192	29	+	+	PROPN
ejpam-6475	192	30	m(υ	m(υ	PROPN
ejpam-6475	192	31	,	,	PUNCT
ejpam-6475	192	32	ξ	ξ	PROPN
ejpam-6475	192	33	,	,	PUNCT
ejpam-6475	192	34	ξ	ξ	NOUN
ejpam-6475	192	35	)	)	PUNCT
ejpam-6475	192	36	=	=	NOUN
ejpam-6475	192	37	{	{	PUNCT
ejpam-6475	192	38	1	1	NUM
ejpam-6475	192	39	if	if	SCONJ
ejpam-6475	192	40	υ	υ	PROPN
ejpam-6475	192	41	=	=	SYM
ejpam-6475	192	42	ξ	ξ	PROPN
ejpam-6475	192	43	,	,	PUNCT
ejpam-6475	192	44	1	1	NUM
ejpam-6475	192	45	2	2	NUM
ejpam-6475	192	46	if	if	SCONJ
ejpam-6475	192	47	υ	υ	PRON
ejpam-6475	192	48	̸=	̸=	PROPN
ejpam-6475	192	49	ξ	ξ	PROPN
ejpam-6475	192	50	.	.	PUNCT
ejpam-6475	193	1	this	this	PRON
ejpam-6475	193	2	holds	hold	VERB
ejpam-6475	193	3	because	because	SCONJ
ejpam-6475	193	4	e−x	e−x	NOUN
ejpam-6475	193	5	≥	≥	NUM
ejpam-6475	193	6	1	1	NUM
ejpam-6475	193	7	2	2	NUM
ejpam-6475	193	8	for	for	ADP
ejpam-6475	193	9	x	x	SYM
ejpam-6475	193	10	≤	≤	NOUN
ejpam-6475	193	11	ln	ln	ADJ
ejpam-6475	193	12	2	2	X
ejpam-6475	193	13	.	.	PUNCT
ejpam-6475	193	14	similarly	similarly	ADV
ejpam-6475	193	15	for	for	ADP
ejpam-6475	193	16	f	f	PROPN
ejpam-6475	193	17	:	:	PUNCT
ejpam-6475	193	18	f(υ	f(υ	PROPN
ejpam-6475	193	19	,	,	PUNCT
ejpam-6475	193	20	ξ	ξ	PROPN
ejpam-6475	193	21	,	,	PUNCT
ejpam-6475	193	22	γ	γ	NOUN
ejpam-6475	193	23	)	)	PUNCT
ejpam-6475	193	24	=	=	SYM
ejpam-6475	194	1	1−	1−	NUM
ejpam-6475	194	2	e	e	X
ejpam-6475	194	3	−	−	PROPN
ejpam-6475	194	4	|υ−ξ|	|υ−ξ|	PUNCT
ejpam-6475	194	5	γ	γ	PROPN
ejpam-6475	194	6	≤	≤	PROPN
ejpam-6475	194	7	m(υ	m(υ	PROPN
ejpam-6475	194	8	,	,	PUNCT
ejpam-6475	194	9	ξ	ξ	PROPN
ejpam-6475	194	10	,	,	PUNCT
ejpam-6475	194	11	ξ	ξ	NOUN
ejpam-6475	194	12	)	)	PUNCT
ejpam-6475	194	13	1	1	NUM
ejpam-6475	195	1	+	+	SYM
ejpam-6475	195	2	m(υ	m(υ	PROPN
ejpam-6475	195	3	,	,	PUNCT
ejpam-6475	195	4	ξ	ξ	PROPN
ejpam-6475	195	5	,	,	PUNCT
ejpam-6475	195	6	ξ	ξ	NOUN
ejpam-6475	195	7	)	)	PUNCT
ejpam-6475	195	8	.	.	PUNCT
ejpam-6475	196	1	(	(	PUNCT
ejpam-6475	196	2	c2	c2	PROPN
ejpam-6475	196	3	)	)	PUNCT
ejpam-6475	196	4	operation	operation	NOUN
ejpam-6475	196	5	consistency	consistency	NOUN
ejpam-6475	196	6	:	:	PUNCT
ejpam-6475	196	7	for	for	ADP
ejpam-6475	196	8	•	•	NOUN
ejpam-6475	196	9	=	=	SYM
ejpam-6475	196	10	∗	∗	NOUN
ejpam-6475	196	11	(	(	PUNCT
ejpam-6475	196	12	product	product	NOUN
ejpam-6475	196	13	)	)	PUNCT
ejpam-6475	196	14	and	and	CCONJ
ejpam-6475	196	15	⋆	⋆	X
ejpam-6475	196	16	=	=	PUNCT
ejpam-6475	197	1	+	+	ADJ
ejpam-6475	197	2	:	:	PUNCT
ejpam-6475	197	3	(	(	PUNCT
ejpam-6475	197	4	a+	a+	PUNCT
ejpam-6475	197	5	b	b	NOUN
ejpam-6475	197	6	)	)	PUNCT
ejpam-6475	197	7	·	·	PUNCT
ejpam-6475	198	1	c	c	NOUN
ejpam-6475	198	2	≤	≤	NOUN
ejpam-6475	198	3	a	a	DET
ejpam-6475	198	4	·	·	PUNCT
ejpam-6475	198	5	c+	c+	PROPN
ejpam-6475	198	6	b	b	PROPN
ejpam-6475	198	7	·	·	PUNCT
ejpam-6475	198	8	c	c	NOUN
ejpam-6475	198	9	∀a	∀a	PROPN
ejpam-6475	198	10	,	,	PUNCT
ejpam-6475	198	11	b	b	NOUN
ejpam-6475	198	12	,	,	PUNCT
ejpam-6475	198	13	c	c	PROPN
ejpam-6475	198	14	∈	∈	PROPN
ejpam-6475	199	1	[	[	X
ejpam-6475	199	2	0	0	NUM
ejpam-6475	199	3	,	,	PUNCT
ejpam-6475	199	4	1	1	NUM
ejpam-6475	199	5	]	]	PUNCT
ejpam-6475	199	6	,	,	PUNCT
ejpam-6475	199	7	which	which	PRON
ejpam-6475	199	8	is	be	AUX
ejpam-6475	199	9	the	the	DET
ejpam-6475	199	10	distributive	distributive	ADJ
ejpam-6475	199	11	property	property	NOUN
ejpam-6475	199	12	(	(	PUNCT
ejpam-6475	199	13	always	always	ADV
ejpam-6475	199	14	true	true	ADJ
ejpam-6475	199	15	)	)	PUNCT
ejpam-6475	199	16	.	.	PUNCT
ejpam-6475	200	1	application	application	NOUN
ejpam-6475	200	2	1	1	NUM
ejpam-6475	200	3	(	(	PUNCT
ejpam-6475	200	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	200	5	data	data	NOUN
ejpam-6475	200	6	classification	classification	NOUN
ejpam-6475	200	7	in	in	ADP
ejpam-6475	200	8	machine	machine	NOUN
ejpam-6475	200	9	learning	learning	NOUN
ejpam-6475	200	10	)	)	PUNCT
ejpam-6475	200	11	.	.	PUNCT
ejpam-6475	201	1	consider	consider	VERB
ejpam-6475	201	2	a	a	DET
ejpam-6475	201	3	binary	binary	ADJ
ejpam-6475	201	4	classification	classification	NOUN
ejpam-6475	201	5	problem	problem	NOUN
ejpam-6475	201	6	with	with	ADP
ejpam-6475	201	7	uncertain	uncertain	ADJ
ejpam-6475	201	8	data	data	NOUN
ejpam-6475	201	9	points	point	NOUN
ejpam-6475	201	10	xi	xi	PROPN
ejpam-6475	201	11	∈	∈	PROPN
ejpam-6475	201	12	rd	rd	PROPN
ejpam-6475	201	13	,	,	PUNCT
ejpam-6475	201	14	where	where	SCONJ
ejpam-6475	201	15	each	each	DET
ejpam-6475	201	16	point	point	NOUN
ejpam-6475	201	17	has	have	VERB
ejpam-6475	201	18	:	:	PUNCT
ejpam-6475	201	19	•	•	NUM
ejpam-6475	201	20	a	a	DET
ejpam-6475	201	21	truth	truth	NOUN
ejpam-6475	201	22	membership	membership	NOUN
ejpam-6475	201	23	t	t	PROPN
ejpam-6475	201	24	(	(	PUNCT
ejpam-6475	201	25	xi	xi	PROPN
ejpam-6475	201	26	,	,	PUNCT
ejpam-6475	201	27	cj	cj	X
ejpam-6475	201	28	)	)	PUNCT
ejpam-6475	201	29	(	(	PUNCT
ejpam-6475	201	30	degree	degree	NOUN
ejpam-6475	201	31	to	to	PART
ejpam-6475	201	32	which	which	PRON
ejpam-6475	201	33	xi	xi	ADP
ejpam-6475	201	34	belongs	belong	VERB
ejpam-6475	201	35	to	to	ADP
ejpam-6475	201	36	class	class	PROPN
ejpam-6475	201	37	cj	cj	NOUN
ejpam-6475	201	38	)	)	PUNCT
ejpam-6475	201	39	,	,	PUNCT
ejpam-6475	201	40	•	•	NOUN
ejpam-6475	201	41	a	a	DET
ejpam-6475	201	42	falsity	falsity	NOUN
ejpam-6475	201	43	membership	membership	NOUN
ejpam-6475	201	44	f(xi	f(xi	PROPN
ejpam-6475	201	45	,	,	PUNCT
ejpam-6475	201	46	cj	cj	X
ejpam-6475	201	47	)	)	PUNCT
ejpam-6475	201	48	(	(	PUNCT
ejpam-6475	201	49	degree	degree	NOUN
ejpam-6475	201	50	to	to	PART
ejpam-6475	201	51	which	which	PRON
ejpam-6475	201	52	xi	xi	VERB
ejpam-6475	201	53	does	do	AUX
ejpam-6475	201	54	not	not	PART
ejpam-6475	201	55	belong	belong	VERB
ejpam-6475	201	56	to	to	ADP
ejpam-6475	201	57	cj	cj	NOUN
ejpam-6475	201	58	)	)	PUNCT
ejpam-6475	201	59	,	,	PUNCT
ejpam-6475	201	60	•	•	NUM
ejpam-6475	201	61	indeterminacy	indeterminacy	NOUN
ejpam-6475	201	62	i(xi	i(xi	PROPN
ejpam-6475	201	63	,	,	PUNCT
ejpam-6475	201	64	cj	cj	X
ejpam-6475	201	65	)	)	PUNCT
ejpam-6475	201	66	=	=	SYM
ejpam-6475	201	67	0	0	PUNCT
ejpam-6475	202	1	(	(	PUNCT
ejpam-6475	202	2	no	no	DET
ejpam-6475	202	3	ambiguity	ambiguity	NOUN
ejpam-6475	202	4	in	in	ADP
ejpam-6475	202	5	measurements	measurement	NOUN
ejpam-6475	202	6	)	)	PUNCT
ejpam-6475	202	7	.	.	PUNCT
ejpam-6475	203	1	implementation	implementation	NOUN
ejpam-6475	203	2	steps	step	NOUN
ejpam-6475	203	3	:	:	PUNCT
ejpam-6475	203	4	(	(	PUNCT
ejpam-6475	203	5	i	i	NOUN
ejpam-6475	203	6	)	)	PUNCT
ejpam-6475	203	7	embedding	embed	VERB
ejpam-6475	203	8	:	:	PUNCT
ejpam-6475	203	9	convert	convert	VERB
ejpam-6475	203	10	a	a	DET
ejpam-6475	203	11	standard	standard	ADJ
ejpam-6475	203	12	fuzzy	fuzzy	ADJ
ejpam-6475	203	13	classifier	classifier	NOUN
ejpam-6475	203	14	(	(	PUNCT
ejpam-6475	203	15	using	use	VERB
ejpam-6475	203	16	fms	fms	PROPN
ejpam-6475	203	17	)	)	PUNCT
ejpam-6475	203	18	to	to	ADP
ejpam-6475	203	19	an	an	DET
ejpam-6475	203	20	nmr	nmr	NOUN
ejpam-6475	203	21	-	-	PUNCT
ejpam-6475	203	22	ms	ms	NOUN
ejpam-6475	203	23	classifier	classifier	NOUN
ejpam-6475	203	24	by	by	ADP
ejpam-6475	203	25	:	:	PUNCT
ejpam-6475	203	26	a.	a.	NOUN
ejpam-6475	203	27	malkawi	malkawi	PROPN
ejpam-6475	203	28	/	/	SYM
ejpam-6475	203	29	eur	eur	PROPN
ejpam-6475	203	30	.	.	PUNCT
ejpam-6475	204	1	j.	j.	PROPN
ejpam-6475	204	2	pure	pure	PROPN
ejpam-6475	204	3	appl	appl	PROPN
ejpam-6475	204	4	.	.	PROPN
ejpam-6475	204	5	math	math	PROPN
ejpam-6475	204	6	,	,	PUNCT
ejpam-6475	204	7	18	18	NUM
ejpam-6475	204	8	(	(	PUNCT
ejpam-6475	204	9	3	3	NUM
ejpam-6475	204	10	)	)	PUNCT
ejpam-6475	204	11	(	(	PUNCT
ejpam-6475	204	12	2025	2025	NUM
ejpam-6475	204	13	)	)	PUNCT
ejpam-6475	204	14	,	,	PUNCT
ejpam-6475	204	15	6475	6475	NUM
ejpam-6475	204	16	12	12	NUM
ejpam-6475	204	17	of	of	ADP
ejpam-6475	204	18	20	20	NUM
ejpam-6475	204	19	•	•	NOUN
ejpam-6475	204	20	defining	define	VERB
ejpam-6475	204	21	t	t	PROPN
ejpam-6475	204	22	(	(	PUNCT
ejpam-6475	204	23	xi	xi	PROPN
ejpam-6475	204	24	,	,	PUNCT
ejpam-6475	204	25	cj	cj	X
ejpam-6475	204	26	)	)	PUNCT
ejpam-6475	205	1	=	=	PUNCT
ejpam-6475	205	2	e	e	X
ejpam-6475	205	3	−	−	ADP
ejpam-6475	205	4	∥xi−µj∥	∥xi−µj∥	ADV
ejpam-6475	205	5	γ	γ	X
ejpam-6475	205	6	(	(	PUNCT
ejpam-6475	205	7	gaussian	gaussian	ADJ
ejpam-6475	205	8	kernel	kernel	NOUN
ejpam-6475	205	9	)	)	PUNCT
ejpam-6475	205	10	,	,	PUNCT
ejpam-6475	205	11	•	•	NUM
ejpam-6475	205	12	setting	set	VERB
ejpam-6475	205	13	f(xi	f(xi	PROPN
ejpam-6475	205	14	,	,	PUNCT
ejpam-6475	205	15	cj	cj	X
ejpam-6475	205	16	)	)	PUNCT
ejpam-6475	205	17	=	=	SYM
ejpam-6475	206	1	1−	1−	NUM
ejpam-6475	206	2	t	t	PROPN
ejpam-6475	206	3	(	(	PUNCT
ejpam-6475	206	4	xi	xi	PROPN
ejpam-6475	206	5	,	,	PUNCT
ejpam-6475	206	6	cj	cj	NOUN
ejpam-6475	206	7	)	)	PUNCT
ejpam-6475	206	8	,	,	PUNCT
ejpam-6475	206	9	•	•	ADV
ejpam-6475	206	10	using	use	VERB
ejpam-6475	206	11	the	the	DET
ejpam-6475	206	12	trivial	trivial	ADJ
ejpam-6475	206	13	metric	metric	ADJ
ejpam-6475	206	14	m(xi	m(xi	PROPN
ejpam-6475	206	15	,	,	PUNCT
ejpam-6475	206	16	cj	cj	PROPN
ejpam-6475	206	17	,	,	PUNCT
ejpam-6475	206	18	cj	cj	X
ejpam-6475	206	19	)	)	PUNCT
ejpam-6475	207	1	=	=	SYM
ejpam-6475	207	2	0	0	PUNCT
ejpam-6475	208	1	if	if	SCONJ
ejpam-6475	208	2	xi	xi	PROPN
ejpam-6475	208	3	=	=	SYM
ejpam-6475	208	4	µj	µj	PROPN
ejpam-6475	208	5	(	(	PUNCT
ejpam-6475	208	6	perfect	perfect	ADJ
ejpam-6475	208	7	match	match	NOUN
ejpam-6475	208	8	to	to	ADP
ejpam-6475	208	9	class	class	NOUN
ejpam-6475	208	10	center	center	NOUN
ejpam-6475	208	11	)	)	PUNCT
ejpam-6475	208	12	,	,	PUNCT
ejpam-6475	208	13	else	else	ADV
ejpam-6475	208	14	1	1	NUM
ejpam-6475	208	15	.	.	PUNCT
ejpam-6475	208	16	(	(	PUNCT
ejpam-6475	208	17	ii	ii	NOUN
ejpam-6475	208	18	)	)	PUNCT
ejpam-6475	208	19	training	training	NOUN
ejpam-6475	208	20	:	:	PUNCT
ejpam-6475	208	21	optimize	optimize	NOUN
ejpam-6475	208	22	class	class	NOUN
ejpam-6475	208	23	centers	center	NOUN
ejpam-6475	208	24	µj	µj	INTJ
ejpam-6475	208	25	to	to	PART
ejpam-6475	208	26	minimize	minimize	VERB
ejpam-6475	208	27	:	:	PUNCT
ejpam-6475	208	28	n∑	n∑	PROPN
ejpam-6475	208	29	i=1	i=1	PROPN
ejpam-6475	209	1	f(xi	f(xi	PROPN
ejpam-6475	209	2	,	,	PUNCT
ejpam-6475	209	3	cyi	cyi	PROPN
ejpam-6475	209	4	)	)	PUNCT
ejpam-6475	210	1	+	+	CCONJ
ejpam-6475	210	2	∑	∑	PROPN
ejpam-6475	210	3	j	j	PROPN
ejpam-6475	210	4	̸=yi	̸=yi	PROPN
ejpam-6475	210	5	t	t	PROPN
ejpam-6475	210	6	(	(	PUNCT
ejpam-6475	210	7	xi	xi	PROPN
ejpam-6475	210	8	,	,	PUNCT
ejpam-6475	210	9	cj	cj	NOUN
ejpam-6475	210	10	)	)	PUNCT
ejpam-6475	210	11			PROPN
ejpam-6475	210	12	,	,	PUNCT
ejpam-6475	210	13	where	where	SCONJ
ejpam-6475	210	14	yi	yi	PROPN
ejpam-6475	210	15	is	be	AUX
ejpam-6475	210	16	the	the	DET
ejpam-6475	210	17	true	true	ADJ
ejpam-6475	210	18	label	label	NOUN
ejpam-6475	210	19	of	of	ADP
ejpam-6475	210	20	xi	xi	PROPN
ejpam-6475	210	21	.	.	PUNCT
ejpam-6475	211	1	this	this	PRON
ejpam-6475	211	2	maximizes	maximize	VERB
ejpam-6475	211	3	truth	truth	NOUN
ejpam-6475	211	4	for	for	ADP
ejpam-6475	211	5	correct	correct	ADJ
ejpam-6475	211	6	classes	class	NOUN
ejpam-6475	211	7	and	and	CCONJ
ejpam-6475	211	8	minimizes	minimize	NOUN
ejpam-6475	211	9	falsity	falsity	NOUN
ejpam-6475	211	10	.	.	PUNCT
ejpam-6475	212	1	(	(	PUNCT
ejpam-6475	212	2	iii	iii	X
ejpam-6475	212	3	)	)	PUNCT
ejpam-6475	212	4	inference	inference	NOUN
ejpam-6475	212	5	:	:	PUNCT
ejpam-6475	212	6	for	for	ADP
ejpam-6475	212	7	a	a	DET
ejpam-6475	212	8	new	new	ADJ
ejpam-6475	212	9	point	point	NOUN
ejpam-6475	212	10	x	x	NOUN
ejpam-6475	212	11	,	,	PUNCT
ejpam-6475	212	12	predict	predict	VERB
ejpam-6475	212	13	class	class	NOUN
ejpam-6475	212	14	c∗	c∗	PROPN
ejpam-6475	212	15	=	=	PROPN
ejpam-6475	212	16	j	j	PROPN
ejpam-6475	212	17	t	t	PROPN
ejpam-6475	212	18	(	(	PUNCT
ejpam-6475	212	19	x	x	NOUN
ejpam-6475	212	20	,	,	PUNCT
ejpam-6475	212	21	cj	cj	X
ejpam-6475	212	22	)	)	PUNCT
ejpam-6475	212	23	,	,	PUNCT
ejpam-6475	212	24	subject	subject	ADJ
ejpam-6475	212	25	to	to	ADP
ejpam-6475	212	26	f(x	f(x	PROPN
ejpam-6475	212	27	,	,	PUNCT
ejpam-6475	212	28	c∗	c∗	PROPN
ejpam-6475	212	29	)	)	PUNCT
ejpam-6475	212	30	<	<	X
ejpam-6475	212	31	τ	τ	PROPN
ejpam-6475	212	32	(	(	PUNCT
ejpam-6475	212	33	reject	reject	VERB
ejpam-6475	212	34	if	if	SCONJ
ejpam-6475	212	35	falsity	falsity	NOUN
ejpam-6475	212	36	exceeds	exceed	VERB
ejpam-6475	212	37	threshold	threshold	NOUN
ejpam-6475	212	38	τ	τ	PROPN
ejpam-6475	212	39	)	)	PUNCT
ejpam-6475	212	40	.	.	PUNCT
ejpam-6475	213	1	advantages	advantage	NOUN
ejpam-6475	213	2	over	over	ADP
ejpam-6475	213	3	fms	fms	PROPN
ejpam-6475	213	4	:	:	PUNCT
ejpam-6475	213	5	•	•	NOUN
ejpam-6475	213	6	explicit	explicit	ADJ
ejpam-6475	213	7	handling	handling	NOUN
ejpam-6475	213	8	of	of	ADP
ejpam-6475	213	9	falsity	falsity	NOUN
ejpam-6475	213	10	allows	allow	VERB
ejpam-6475	213	11	rejection	rejection	NOUN
ejpam-6475	213	12	of	of	ADP
ejpam-6475	213	13	ambiguous	ambiguous	ADJ
ejpam-6475	213	14	predictions	prediction	NOUN
ejpam-6475	213	15	.	.	PUNCT
ejpam-6475	214	1	•	•	NUM
ejpam-6475	214	2	the	the	DET
ejpam-6475	214	3	trivial	trivial	ADJ
ejpam-6475	214	4	metric	metric	ADJ
ejpam-6475	214	5	m	m	NOUN
ejpam-6475	214	6	simplifies	simplifie	NOUN
ejpam-6475	214	7	computation	computation	NOUN
ejpam-6475	214	8	while	while	SCONJ
ejpam-6475	214	9	maintaining	maintain	VERB
ejpam-6475	214	10	interpretability	interpretability	NOUN
ejpam-6475	214	11	.	.	PUNCT
ejpam-6475	215	1	•	•	NOUN
ejpam-6475	215	2	compatibility	compatibility	NOUN
ejpam-6475	215	3	condition	condition	NOUN
ejpam-6475	215	4	(	(	PUNCT
ejpam-6475	215	5	c1	c1	NOUN
ejpam-6475	215	6	)	)	PUNCT
ejpam-6475	215	7	ensures	ensure	VERB
ejpam-6475	215	8	consistency	consistency	NOUN
ejpam-6475	215	9	between	between	ADP
ejpam-6475	215	10	metric	metric	ADJ
ejpam-6475	215	11	and	and	CCONJ
ejpam-6475	215	12	membership	membership	NOUN
ejpam-6475	215	13	values	value	NOUN
ejpam-6475	215	14	.	.	PUNCT
ejpam-6475	216	1	remark	remark	NOUN
ejpam-6475	216	2	2	2	NUM
ejpam-6475	216	3	.	.	PUNCT
ejpam-6475	217	1	in	in	ADP
ejpam-6475	217	2	practice	practice	NOUN
ejpam-6475	217	3	,	,	PUNCT
ejpam-6475	217	4	i	i	PRON
ejpam-6475	217	5	can	can	AUX
ejpam-6475	217	6	be	be	AUX
ejpam-6475	217	7	non	non	ADJ
ejpam-6475	217	8	-	-	ADJ
ejpam-6475	217	9	zero	zero	NUM
ejpam-6475	217	10	to	to	ADP
ejpam-6475	217	11	model	model	NOUN
ejpam-6475	217	12	measurement	measurement	NOUN
ejpam-6475	217	13	ambiguity	ambiguity	NOUN
ejpam-6475	217	14	(	(	PUNCT
ejpam-6475	217	15	e.g.	e.g.	ADV
ejpam-6475	217	16	,	,	PUNCT
ejpam-6475	217	17	sensor	sensor	NOUN
ejpam-6475	217	18	noise	noise	NOUN
ejpam-6475	217	19	)	)	PUNCT
ejpam-6475	217	20	.	.	PUNCT
ejpam-6475	218	1	this	this	PRON
ejpam-6475	218	2	requires	require	VERB
ejpam-6475	218	3	extending	extend	VERB
ejpam-6475	218	4	the	the	DET
ejpam-6475	218	5	example	example	NOUN
ejpam-6475	218	6	with	with	ADP
ejpam-6475	218	7	i(xi	i(xi	PROPN
ejpam-6475	218	8	,	,	PUNCT
ejpam-6475	218	9	cj	cj	X
ejpam-6475	218	10	)	)	PUNCT
ejpam-6475	219	1	=	=	SYM
ejpam-6475	219	2	ϵi	ϵi	NOUN
ejpam-6475	219	3	,	,	PUNCT
ejpam-6475	219	4	where	where	SCONJ
ejpam-6475	219	5	ϵi	ϵi	NOUN
ejpam-6475	219	6	quantifies	quantify	VERB
ejpam-6475	219	7	uncertainty	uncertainty	NOUN
ejpam-6475	219	8	in	in	ADP
ejpam-6475	219	9	xi	xi	PROPN
ejpam-6475	219	10	.	.	PROPN
ejpam-6475	220	1	2	2	NUM
ejpam-6475	220	2	.	.	NOUN
ejpam-6475	220	3	example	example	NOUN
ejpam-6475	220	4	for	for	ADP
ejpam-6475	220	5	theorem	theorem	ADJ
ejpam-6475	220	6	2	2	NUM
ejpam-6475	220	7	(	(	PUNCT
ejpam-6475	220	8	fixed	fixed	ADJ
ejpam-6475	220	9	point	point	NOUN
ejpam-6475	220	10	theorem	theorem	ADJ
ejpam-6475	220	11	)	)	PUNCT
ejpam-6475	220	12	example	example	NOUN
ejpam-6475	220	13	2	2	NUM
ejpam-6475	220	14	(	(	PUNCT
ejpam-6475	220	15	contraction	contraction	NOUN
ejpam-6475	220	16	mapping	mapping	NOUN
ejpam-6475	220	17	on	on	ADP
ejpam-6475	220	18	the	the	DET
ejpam-6475	220	19	interval	interval	NOUN
ejpam-6475	220	20	[	[	X
ejpam-6475	220	21	0	0	NUM
ejpam-6475	220	22	,	,	PUNCT
ejpam-6475	220	23	1	1	NUM
ejpam-6475	220	24	)	)	PUNCT
ejpam-6475	220	25	.	.	PUNCT
ejpam-6475	221	1	]	]	PUNCT
ejpam-6475	221	2	consider	consider	VERB
ejpam-6475	221	3	the	the	DET
ejpam-6475	221	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	221	5	mr	mr	ADJ
ejpam-6475	221	6	-	-	PUNCT
ejpam-6475	221	7	metric	metric	ADJ
ejpam-6475	221	8	space	space	NOUN
ejpam-6475	221	9	(	(	PUNCT
ejpam-6475	221	10	z	z	NOUN
ejpam-6475	221	11	,	,	PUNCT
ejpam-6475	221	12	m	m	PROPN
ejpam-6475	221	13	,	,	PUNCT
ejpam-6475	221	14	t	t	PROPN
ejpam-6475	221	15	,	,	PUNCT
ejpam-6475	221	16	f	f	PROPN
ejpam-6475	221	17	,	,	PUNCT
ejpam-6475	221	18	i	i	PRON
ejpam-6475	221	19	,	,	PUNCT
ejpam-6475	221	20	•	•	PROPN
ejpam-6475	221	21	,	,	PUNCT
ejpam-6475	221	22	⋄	⋄	PROPN
ejpam-6475	221	23	,	,	PUNCT
ejpam-6475	221	24	r	r	NOUN
ejpam-6475	221	25	,	,	PUNCT
ejpam-6475	221	26	⋆	⋆	NOUN
ejpam-6475	221	27	)	)	PUNCT
ejpam-6475	222	1	where	where	SCONJ
ejpam-6475	222	2	:	:	PUNCT
ejpam-6475	222	3	•	•	NOUN
ejpam-6475	222	4	z	z	NOUN
ejpam-6475	222	5	=	=	PUNCT
ejpam-6475	223	1	[	[	X
ejpam-6475	223	2	0	0	NUM
ejpam-6475	223	3	,	,	PUNCT
ejpam-6475	223	4	1	1	NUM
ejpam-6475	223	5	]	]	PUNCT
ejpam-6475	223	6	(	(	PUNCT
ejpam-6475	223	7	the	the	DET
ejpam-6475	223	8	closed	closed	ADJ
ejpam-6475	223	9	unit	unit	NOUN
ejpam-6475	223	10	interval	interval	NOUN
ejpam-6475	223	11	)	)	PUNCT
ejpam-6475	223	12	.	.	PUNCT
ejpam-6475	224	1	•	•	NOUN
ejpam-6475	224	2	the	the	DET
ejpam-6475	224	3	mr	mr	PROPN
ejpam-6475	224	4	-	-	PUNCT
ejpam-6475	224	5	metric	metric	ADJ
ejpam-6475	224	6	m	m	NOUN
ejpam-6475	224	7	:	:	PUNCT
ejpam-6475	224	8	z3	z3	PROPN
ejpam-6475	224	9	→	→	PUNCT
ejpam-6475	225	1	[	[	X
ejpam-6475	225	2	0,∞	0,∞	NOUN
ejpam-6475	225	3	)	)	PUNCT
ejpam-6475	225	4	is	be	AUX
ejpam-6475	225	5	defined	define	VERB
ejpam-6475	225	6	by	by	ADP
ejpam-6475	225	7	:	:	PUNCT
ejpam-6475	225	8	m(υ	m(υ	PROPN
ejpam-6475	225	9	,	,	PUNCT
ejpam-6475	225	10	ξ,ℑ	ξ,ℑ	PROPN
ejpam-6475	225	11	)	)	PUNCT
ejpam-6475	226	1	=	=	PUNCT
ejpam-6475	227	1	max(|υ	max(|υ	PROPN
ejpam-6475	227	2	−	−	PROPN
ejpam-6475	227	3	ξ|	ξ|	PROPN
ejpam-6475	227	4	,	,	PUNCT
ejpam-6475	227	5	|ξ	|ξ	AUX
ejpam-6475	227	6	−ℑ|	−ℑ|	NOUN
ejpam-6475	227	7	,	,	PUNCT
ejpam-6475	227	8	|ℑ	|ℑ	NOUN
ejpam-6475	227	9	−	−	PROPN
ejpam-6475	227	10	υ|	υ|	PROPN
ejpam-6475	227	11	)	)	PUNCT
ejpam-6475	227	12	.	.	PUNCT
ejpam-6475	228	1	this	this	DET
ejpam-6475	228	2	metric	metric	ADJ
ejpam-6475	228	3	measures	measure	NOUN
ejpam-6475	228	4	the	the	DET
ejpam-6475	228	5	maximum	maximum	ADJ
ejpam-6475	228	6	pairwise	pairwise	NOUN
ejpam-6475	228	7	distance	distance	NOUN
ejpam-6475	228	8	between	between	ADP
ejpam-6475	228	9	the	the	DET
ejpam-6475	228	10	three	three	NUM
ejpam-6475	228	11	points	point	NOUN
ejpam-6475	228	12	υ	υ	NOUN
ejpam-6475	228	13	,	,	PUNCT
ejpam-6475	228	14	ξ,ℑ.	ξ,ℑ.	PROPN
ejpam-6475	228	15	•	•	ADP
ejpam-6475	228	16	the	the	DET
ejpam-6475	228	17	truth	truth	NOUN
ejpam-6475	228	18	membership	membership	NOUN
ejpam-6475	228	19	function	function	NOUN
ejpam-6475	228	20	t	t	NOUN
ejpam-6475	228	21	:	:	PUNCT
ejpam-6475	228	22	z	z	NOUN
ejpam-6475	228	23	×	×	PROPN
ejpam-6475	228	24	z	z	NOUN
ejpam-6475	228	25	×	×	NOUN
ejpam-6475	228	26	(	(	PUNCT
ejpam-6475	228	27	0,∞	0,∞	NOUN
ejpam-6475	228	28	)	)	PUNCT
ejpam-6475	228	29	→	→	PUNCT
ejpam-6475	229	1	[	[	X
ejpam-6475	229	2	0	0	NUM
ejpam-6475	229	3	,	,	PUNCT
ejpam-6475	229	4	1	1	NUM
ejpam-6475	229	5	]	]	PUNCT
ejpam-6475	229	6	is	be	AUX
ejpam-6475	229	7	given	give	VERB
ejpam-6475	229	8	by	by	ADP
ejpam-6475	229	9	:	:	PUNCT
ejpam-6475	229	10	t	t	PROPN
ejpam-6475	229	11	(	(	PUNCT
ejpam-6475	229	12	υ	υ	PROPN
ejpam-6475	229	13	,	,	PUNCT
ejpam-6475	229	14	ξ	ξ	PROPN
ejpam-6475	229	15	,	,	PUNCT
ejpam-6475	229	16	γ	γ	NOUN
ejpam-6475	229	17	)	)	PUNCT
ejpam-6475	229	18	=	=	X
ejpam-6475	229	19	γ	γ	X
ejpam-6475	229	20	γ	γ	PROPN
ejpam-6475	229	21	+	+	PROPN
ejpam-6475	229	22	m(υ	m(υ	PROPN
ejpam-6475	229	23	,	,	PUNCT
ejpam-6475	229	24	ξ	ξ	PROPN
ejpam-6475	229	25	,	,	PUNCT
ejpam-6475	229	26	ξ	ξ	NOUN
ejpam-6475	229	27	)	)	PUNCT
ejpam-6475	229	28	=	=	SYM
ejpam-6475	229	29	γ	γ	X
ejpam-6475	229	30	γ	γ	X
ejpam-6475	229	31	+	+	NUM
ejpam-6475	229	32	|υ	|υ	NOUN
ejpam-6475	229	33	−	−	PROPN
ejpam-6475	229	34	ξ|	ξ|	PROPN
ejpam-6475	229	35	.	.	PUNCT
ejpam-6475	230	1	this	this	DET
ejpam-6475	230	2	function	function	NOUN
ejpam-6475	230	3	approaches	approach	VERB
ejpam-6475	230	4	1	1	NUM
ejpam-6475	230	5	as	as	SCONJ
ejpam-6475	230	6	γ	γ	NOUN
ejpam-6475	230	7	increases	increase	NOUN
ejpam-6475	230	8	or	or	CCONJ
ejpam-6475	230	9	as	as	ADP
ejpam-6475	230	10	υ	υ	NOUN
ejpam-6475	230	11	and	and	CCONJ
ejpam-6475	230	12	ξ	ξ	NOUN
ejpam-6475	230	13	get	get	VERB
ejpam-6475	230	14	closer	close	ADJ
ejpam-6475	230	15	.	.	PUNCT
ejpam-6475	231	1	a.	a.	NOUN
ejpam-6475	231	2	malkawi	malkawi	ADP
ejpam-6475	231	3	/	/	SYM
ejpam-6475	231	4	eur	eur	PROPN
ejpam-6475	231	5	.	.	PUNCT
ejpam-6475	232	1	j.	j.	PROPN
ejpam-6475	232	2	pure	pure	PROPN
ejpam-6475	232	3	appl	appl	PROPN
ejpam-6475	232	4	.	.	PROPN
ejpam-6475	232	5	math	math	PROPN
ejpam-6475	232	6	,	,	PUNCT
ejpam-6475	232	7	18	18	NUM
ejpam-6475	232	8	(	(	PUNCT
ejpam-6475	232	9	3	3	NUM
ejpam-6475	232	10	)	)	PUNCT
ejpam-6475	232	11	(	(	PUNCT
ejpam-6475	232	12	2025	2025	NUM
ejpam-6475	232	13	)	)	PUNCT
ejpam-6475	232	14	,	,	PUNCT
ejpam-6475	232	15	6475	6475	NUM
ejpam-6475	232	16	13	13	NUM
ejpam-6475	232	17	of	of	ADP
ejpam-6475	232	18	20	20	NUM
ejpam-6475	232	19	figure	figure	NOUN
ejpam-6475	232	20	1	1	NUM
ejpam-6475	232	21	:	:	PUNCT
ejpam-6475	232	22	neutrosophic	neutrosophic	ADJ
ejpam-6475	232	23	classifier	classifier	NOUN
ejpam-6475	232	24	workflow	workflow	NOUN
ejpam-6475	232	25	:	:	PUNCT
ejpam-6475	232	26	(	(	PUNCT
ejpam-6475	232	27	1	1	X
ejpam-6475	232	28	)	)	PUNCT
ejpam-6475	232	29	compute	compute	NOUN
ejpam-6475	232	30	t	t	PROPN
ejpam-6475	232	31	,	,	PUNCT
ejpam-6475	232	32	f	f	PROPN
ejpam-6475	232	33	for	for	ADP
ejpam-6475	232	34	each	each	DET
ejpam-6475	232	35	class	class	NOUN
ejpam-6475	232	36	,	,	PUNCT
ejpam-6475	232	37	(	(	PUNCT
ejpam-6475	232	38	2	2	X
ejpam-6475	232	39	)	)	PUNCT
ejpam-6475	232	40	reject	reject	VERB
ejpam-6475	232	41	points	point	NOUN
ejpam-6475	232	42	with	with	ADP
ejpam-6475	232	43	high	high	ADJ
ejpam-6475	232	44	f	f	NOUN
ejpam-6475	232	45	,	,	PUNCT
ejpam-6475	232	46	(	(	PUNCT
ejpam-6475	232	47	3	3	X
ejpam-6475	232	48	)	)	PUNCT
ejpam-6475	232	49	assign	assign	NOUN
ejpam-6475	232	50	to	to	ADP
ejpam-6475	232	51	class	class	NOUN
ejpam-6475	232	52	with	with	ADP
ejpam-6475	232	53	highest	high	ADJ
ejpam-6475	232	54	t	t	NOUN
ejpam-6475	232	55	.	.	PUNCT
ejpam-6475	233	1	•	•	NOUN
ejpam-6475	233	2	the	the	DET
ejpam-6475	233	3	falsity	falsity	NOUN
ejpam-6475	233	4	membership	membership	NOUN
ejpam-6475	233	5	function	function	NOUN
ejpam-6475	233	6	f	f	NOUN
ejpam-6475	234	1	:	:	PUNCT
ejpam-6475	234	2	z	z	NOUN
ejpam-6475	234	3	×	×	PROPN
ejpam-6475	234	4	z	z	NOUN
ejpam-6475	234	5	×	×	NOUN
ejpam-6475	234	6	(	(	PUNCT
ejpam-6475	234	7	0,∞	0,∞	NOUN
ejpam-6475	234	8	)	)	PUNCT
ejpam-6475	234	9	→	→	PUNCT
ejpam-6475	235	1	[	[	X
ejpam-6475	235	2	0	0	NUM
ejpam-6475	235	3	,	,	PUNCT
ejpam-6475	235	4	1	1	NUM
ejpam-6475	235	5	]	]	PUNCT
ejpam-6475	235	6	is	be	AUX
ejpam-6475	235	7	defined	define	VERB
ejpam-6475	235	8	as	as	ADP
ejpam-6475	235	9	:	:	PUNCT
ejpam-6475	235	10	f(υ	f(υ	PROPN
ejpam-6475	235	11	,	,	PUNCT
ejpam-6475	235	12	ξ	ξ	PROPN
ejpam-6475	235	13	,	,	PUNCT
ejpam-6475	235	14	γ	γ	NOUN
ejpam-6475	235	15	)	)	PUNCT
ejpam-6475	235	16	=	=	SYM
ejpam-6475	235	17	m(υ	m(υ	PROPN
ejpam-6475	235	18	,	,	PUNCT
ejpam-6475	235	19	ξ	ξ	PROPN
ejpam-6475	235	20	,	,	PUNCT
ejpam-6475	235	21	ξ	ξ	NOUN
ejpam-6475	235	22	)	)	PUNCT
ejpam-6475	235	23	γ	γ	PROPN
ejpam-6475	235	24	+	+	PROPN
ejpam-6475	235	25	m(υ	m(υ	PROPN
ejpam-6475	235	26	,	,	PUNCT
ejpam-6475	235	27	ξ	ξ	PROPN
ejpam-6475	235	28	,	,	PUNCT
ejpam-6475	235	29	ξ	ξ	NOUN
ejpam-6475	235	30	)	)	PUNCT
ejpam-6475	235	31	=	=	SYM
ejpam-6475	235	32	|υ	|υ	NOUN
ejpam-6475	235	33	−	−	PROPN
ejpam-6475	235	34	ξ|	ξ|	PROPN
ejpam-6475	235	35	γ	γ	PROPN
ejpam-6475	235	36	+	+	CCONJ
ejpam-6475	235	37	|υ	|υ	NOUN
ejpam-6475	235	38	−	−	PROPN
ejpam-6475	235	39	ξ|	ξ|	PROPN
ejpam-6475	235	40	.	.	PUNCT
ejpam-6475	236	1	this	this	PRON
ejpam-6475	236	2	is	be	AUX
ejpam-6475	236	3	the	the	DET
ejpam-6475	236	4	complement	complement	NOUN
ejpam-6475	236	5	of	of	ADP
ejpam-6475	236	6	t	t	NOUN
ejpam-6475	236	7	and	and	CCONJ
ejpam-6475	236	8	models	model	VERB
ejpam-6475	236	9	the	the	DET
ejpam-6475	236	10	degree	degree	NOUN
ejpam-6475	236	11	of	of	ADP
ejpam-6475	236	12	disagreement	disagreement	NOUN
ejpam-6475	236	13	between	between	ADP
ejpam-6475	236	14	υ	υ	PROPN
ejpam-6475	236	15	and	and	CCONJ
ejpam-6475	236	16	ξ	ξ	PROPN
ejpam-6475	236	17	.	.	NOUN
ejpam-6475	236	18	•	•	NUM
ejpam-6475	236	19	the	the	DET
ejpam-6475	236	20	indeterminacy	indeterminacy	NOUN
ejpam-6475	236	21	function	function	NOUN
ejpam-6475	236	22	i	i	PRON
ejpam-6475	236	23	is	be	AUX
ejpam-6475	236	24	set	set	VERB
ejpam-6475	236	25	to	to	ADP
ejpam-6475	236	26	zero	zero	NUM
ejpam-6475	236	27	(	(	PUNCT
ejpam-6475	236	28	i(υ	i(υ	PROPN
ejpam-6475	236	29	,	,	PUNCT
ejpam-6475	236	30	ξ	ξ	PROPN
ejpam-6475	236	31	,	,	PUNCT
ejpam-6475	236	32	γ	γ	NOUN
ejpam-6475	236	33	)	)	PUNCT
ejpam-6475	236	34	=	=	SYM
ejpam-6475	236	35	0	0	NUM
ejpam-6475	236	36	)	)	PUNCT
ejpam-6475	236	37	for	for	ADP
ejpam-6475	236	38	simplicity	simplicity	NOUN
ejpam-6475	236	39	,	,	PUNCT
ejpam-6475	236	40	indicating	indicate	VERB
ejpam-6475	236	41	no	no	DET
ejpam-6475	236	42	ambiguity	ambiguity	NOUN
ejpam-6475	236	43	in	in	ADP
ejpam-6475	236	44	measurements	measurement	NOUN
ejpam-6475	236	45	.	.	PUNCT
ejpam-6475	237	1	•	•	NOUN
ejpam-6475	237	2	the	the	DET
ejpam-6475	237	3	operations	operation	NOUN
ejpam-6475	237	4	are	be	AUX
ejpam-6475	237	5	defined	define	VERB
ejpam-6475	237	6	as	as	ADP
ejpam-6475	237	7	:	:	PUNCT
ejpam-6475	237	8	–	–	PUNCT
ejpam-6475	237	9	•	•	NUM
ejpam-6475	237	10	=	=	SYM
ejpam-6475	237	11	min	min	NOUN
ejpam-6475	237	12	(	(	PUNCT
ejpam-6475	237	13	the	the	DET
ejpam-6475	237	14	minimum	minimum	ADJ
ejpam-6475	237	15	t	t	NOUN
ejpam-6475	237	16	-	-	PUNCT
ejpam-6475	237	17	norm	norm	NOUN
ejpam-6475	237	18	)	)	PUNCT
ejpam-6475	237	19	,	,	PUNCT
ejpam-6475	237	20	–	–	PUNCT
ejpam-6475	237	21	⋆	⋆	X
ejpam-6475	237	22	=	=	SYM
ejpam-6475	237	23	+	+	CCONJ
ejpam-6475	237	24	(	(	PUNCT
ejpam-6475	237	25	standard	standard	ADJ
ejpam-6475	237	26	addition	addition	NOUN
ejpam-6475	237	27	)	)	PUNCT
ejpam-6475	237	28	,	,	PUNCT
ejpam-6475	237	29	–	–	PUNCT
ejpam-6475	237	30	r	r	NOUN
ejpam-6475	237	31	=	=	SYM
ejpam-6475	237	32	2	2	NUM
ejpam-6475	237	33	(	(	PUNCT
ejpam-6475	237	34	the	the	DET
ejpam-6475	237	35	scaling	scaling	NOUN
ejpam-6475	237	36	constant	constant	ADJ
ejpam-6475	237	37	for	for	ADP
ejpam-6475	237	38	the	the	DET
ejpam-6475	237	39	mr	mr	PROPN
ejpam-6475	237	40	-	-	PUNCT
ejpam-6475	237	41	triangle	triangle	NOUN
ejpam-6475	237	42	inequality	inequality	NOUN
ejpam-6475	237	43	)	)	PUNCT
ejpam-6475	237	44	.	.	PUNCT
ejpam-6475	238	1	contraction	contraction	NOUN
ejpam-6475	238	2	mapping	mapping	NOUN
ejpam-6475	238	3	:	:	PUNCT
ejpam-6475	238	4	define	define	VERB
ejpam-6475	238	5	the	the	DET
ejpam-6475	238	6	mapping	mapping	NOUN
ejpam-6475	238	7	ψ	ψ	X
ejpam-6475	238	8	:	:	PUNCT
ejpam-6475	238	9	z	z	X
ejpam-6475	238	10	→	→	SYM
ejpam-6475	238	11	z	z	NOUN
ejpam-6475	238	12	by	by	ADP
ejpam-6475	238	13	ψ(υ	ψ(υ	PROPN
ejpam-6475	238	14	)	)	PUNCT
ejpam-6475	239	1	=	=	PUNCT
ejpam-6475	239	2	υ	υ	PRON
ejpam-6475	239	3	2	2	NUM
ejpam-6475	239	4	.	.	PUNCT
ejpam-6475	240	1	we	we	PRON
ejpam-6475	240	2	verify	verify	VERB
ejpam-6475	240	3	the	the	DET
ejpam-6475	240	4	contraction	contraction	NOUN
ejpam-6475	240	5	conditions	condition	NOUN
ejpam-6475	240	6	for	for	ADP
ejpam-6475	240	7	ψ	ψ	NOUN
ejpam-6475	240	8	:	:	PUNCT
ejpam-6475	240	9	•	•	NOUN
ejpam-6475	240	10	for	for	ADP
ejpam-6475	240	11	the	the	DET
ejpam-6475	240	12	truth	truth	NOUN
ejpam-6475	240	13	membership	membership	NOUN
ejpam-6475	240	14	t	t	PROPN
ejpam-6475	240	15	:	:	PUNCT
ejpam-6475	240	16	t	t	PROPN
ejpam-6475	240	17	(	(	PUNCT
ejpam-6475	240	18	ψυ	ψυ	PROPN
ejpam-6475	240	19	,	,	PUNCT
ejpam-6475	240	20	ψξ	ψξ	NOUN
ejpam-6475	240	21	,	,	PUNCT
ejpam-6475	240	22	γ	γ	NOUN
ejpam-6475	240	23	)	)	PUNCT
ejpam-6475	240	24	=	=	X
ejpam-6475	240	25	γ	γ	X
ejpam-6475	240	26	γ	γ	X
ejpam-6475	240	27	+	+	X
ejpam-6475	240	28	|υ−ξ|	|υ−ξ|	X
ejpam-6475	240	29	2	2	NUM
ejpam-6475	240	30	≥	≥	NOUN
ejpam-6475	240	31	γ	γ	PROPN
ejpam-6475	240	32	γ	γ	X
ejpam-6475	240	33	+	+	NUM
ejpam-6475	240	34	|υ	|υ	NOUN
ejpam-6475	240	35	−	−	PROPN
ejpam-6475	240	36	ξ|	ξ|	PROPN
ejpam-6475	240	37	=	=	SYM
ejpam-6475	240	38	t	t	PROPN
ejpam-6475	240	39	(	(	PUNCT
ejpam-6475	240	40	υ	υ	PROPN
ejpam-6475	240	41	,	,	PUNCT
ejpam-6475	240	42	ξ	ξ	PROPN
ejpam-6475	240	43	,	,	PUNCT
ejpam-6475	240	44	γ/0.5	γ/0.5	NOUN
ejpam-6475	240	45	)	)	PUNCT
ejpam-6475	240	46	.	.	PUNCT
ejpam-6475	241	1	here	here	ADV
ejpam-6475	241	2	,	,	PUNCT
ejpam-6475	241	3	k	k	PROPN
ejpam-6475	241	4	=	=	SYM
ejpam-6475	241	5	0.5	0.5	NUM
ejpam-6475	241	6	is	be	AUX
ejpam-6475	241	7	the	the	DET
ejpam-6475	241	8	contraction	contraction	NOUN
ejpam-6475	241	9	constant	constant	ADJ
ejpam-6475	241	10	,	,	PUNCT
ejpam-6475	241	11	and	and	CCONJ
ejpam-6475	241	12	the	the	DET
ejpam-6475	241	13	inequality	inequality	NOUN
ejpam-6475	241	14	holds	hold	VERB
ejpam-6475	241	15	because	because	SCONJ
ejpam-6475	241	16	γ	γ	PROPN
ejpam-6475	241	17	γ+x/2	γ+x/2	X
ejpam-6475	241	18	≥	≥	X
ejpam-6475	241	19	γ	γ	X
ejpam-6475	241	20	γ+x	γ+x	PROPN
ejpam-6475	241	21	for	for	ADP
ejpam-6475	241	22	x	x	X
ejpam-6475	241	23	≥	≥	NOUN
ejpam-6475	241	24	0	0	NUM
ejpam-6475	241	25	.	.	PUNCT
ejpam-6475	242	1	a.	a.	NOUN
ejpam-6475	242	2	malkawi	malkawi	ADP
ejpam-6475	242	3	/	/	SYM
ejpam-6475	242	4	eur	eur	PROPN
ejpam-6475	242	5	.	.	PUNCT
ejpam-6475	243	1	j.	j.	PROPN
ejpam-6475	243	2	pure	pure	PROPN
ejpam-6475	243	3	appl	appl	PROPN
ejpam-6475	243	4	.	.	PROPN
ejpam-6475	243	5	math	math	PROPN
ejpam-6475	243	6	,	,	PUNCT
ejpam-6475	243	7	18	18	NUM
ejpam-6475	243	8	(	(	PUNCT
ejpam-6475	243	9	3	3	NUM
ejpam-6475	243	10	)	)	PUNCT
ejpam-6475	243	11	(	(	PUNCT
ejpam-6475	243	12	2025	2025	NUM
ejpam-6475	243	13	)	)	PUNCT
ejpam-6475	243	14	,	,	PUNCT
ejpam-6475	243	15	6475	6475	NUM
ejpam-6475	243	16	14	14	NUM
ejpam-6475	243	17	of	of	ADP
ejpam-6475	243	18	20	20	NUM
ejpam-6475	243	19	•	•	NOUN
ejpam-6475	243	20	for	for	ADP
ejpam-6475	243	21	the	the	DET
ejpam-6475	243	22	mr	mr	PROPN
ejpam-6475	243	23	-	-	PUNCT
ejpam-6475	243	24	metric	metric	ADJ
ejpam-6475	243	25	m	m	NOUN
ejpam-6475	243	26	:	:	PUNCT
ejpam-6475	243	27	m(ψυ	m(ψυ	VERB
ejpam-6475	243	28	,	,	PUNCT
ejpam-6475	243	29	ψξ	ψξ	NOUN
ejpam-6475	243	30	,	,	PUNCT
ejpam-6475	243	31	ψξ	ψξ	NOUN
ejpam-6475	243	32	)	)	PUNCT
ejpam-6475	243	33	=	=	SYM
ejpam-6475	243	34	|υ	|υ	NOUN
ejpam-6475	243	35	−	−	PROPN
ejpam-6475	243	36	ξ|	ξ|	PROPN
ejpam-6475	243	37	2	2	NUM
ejpam-6475	243	38	≤	≤	NUM
ejpam-6475	243	39	0.5	0.5	NUM
ejpam-6475	243	40	·	·	PUNCT
ejpam-6475	243	41	m(υ	m(υ	PROPN
ejpam-6475	243	42	,	,	PUNCT
ejpam-6475	243	43	ξ	ξ	PROPN
ejpam-6475	243	44	,	,	PUNCT
ejpam-6475	243	45	ξ	ξ	NOUN
ejpam-6475	243	46	)	)	PUNCT
ejpam-6475	243	47	.	.	PUNCT
ejpam-6475	244	1	this	this	PRON
ejpam-6475	244	2	confirms	confirm	VERB
ejpam-6475	244	3	that	that	SCONJ
ejpam-6475	244	4	ψ	ψ	ADP
ejpam-6475	244	5	contracts	contract	NOUN
ejpam-6475	244	6	the	the	DET
ejpam-6475	244	7	metric	metric	ADJ
ejpam-6475	244	8	m	m	NOUN
ejpam-6475	244	9	by	by	ADP
ejpam-6475	244	10	a	a	DET
ejpam-6475	244	11	factor	factor	NOUN
ejpam-6475	244	12	of	of	ADP
ejpam-6475	244	13	0.5	0.5	NUM
ejpam-6475	244	14	.	.	PUNCT
ejpam-6475	245	1	fixed	fix	VERB
ejpam-6475	245	2	point	point	NOUN
ejpam-6475	245	3	:	:	PUNCT
ejpam-6475	245	4	by	by	ADP
ejpam-6475	245	5	theorem	theorem	NOUN
ejpam-6475	245	6	2	2	NUM
ejpam-6475	245	7	,	,	PUNCT
ejpam-6475	245	8	ψ	ψ	NOUN
ejpam-6475	245	9	has	have	VERB
ejpam-6475	245	10	a	a	DET
ejpam-6475	245	11	unique	unique	ADJ
ejpam-6475	245	12	fixed	fix	VERB
ejpam-6475	245	13	point	point	NOUN
ejpam-6475	245	14	υ∗	υ∗	NOUN
ejpam-6475	245	15	∈	∈	PROPN
ejpam-6475	245	16	z.	z.	NOUN
ejpam-6475	245	17	solving	solve	VERB
ejpam-6475	245	18	ψ(υ∗	ψ(υ∗	NOUN
ejpam-6475	245	19	)	)	PUNCT
ejpam-6475	245	20	=	=	SYM
ejpam-6475	245	21	υ∗	υ∗	NOUN
ejpam-6475	245	22	yields	yield	NOUN
ejpam-6475	245	23	:	:	PUNCT
ejpam-6475	245	24	υ∗	υ∗	NOUN
ejpam-6475	245	25	2	2	NUM
ejpam-6475	245	26	=	=	SYM
ejpam-6475	245	27	υ∗	υ∗	NOUN
ejpam-6475	245	28	=	=	NOUN
ejpam-6475	245	29	⇒	⇒	NOUN
ejpam-6475	245	30	υ∗	υ∗	NOUN
ejpam-6475	245	31	=	=	SYM
ejpam-6475	245	32	0	0	X
ejpam-6475	245	33	.	.	PUNCT
ejpam-6475	246	1	the	the	DET
ejpam-6475	246	2	sequence	sequence	NOUN
ejpam-6475	246	3	{	{	PUNCT
ejpam-6475	246	4	υn	υn	NOUN
ejpam-6475	246	5	}	}	PUNCT
ejpam-6475	246	6	defined	define	VERB
ejpam-6475	246	7	by	by	ADP
ejpam-6475	246	8	υn+1	υn+1	ADJ
ejpam-6475	246	9	=	=	SYM
ejpam-6475	246	10	ψ(υn	ψ(υn	ADJ
ejpam-6475	246	11	)	)	PUNCT
ejpam-6475	246	12	converges	converge	NOUN
ejpam-6475	246	13	to	to	ADP
ejpam-6475	246	14	υ∗	υ∗	NOUN
ejpam-6475	246	15	=	=	NOUN
ejpam-6475	246	16	0	0	NUM
ejpam-6475	246	17	for	for	ADP
ejpam-6475	246	18	any	any	DET
ejpam-6475	246	19	initial	initial	ADJ
ejpam-6475	246	20	υ0	υ0	NOUN
ejpam-6475	246	21	∈	∈	PROPN
ejpam-6475	247	1	[	[	X
ejpam-6475	247	2	0	0	NUM
ejpam-6475	247	3	,	,	PUNCT
ejpam-6475	247	4	1	1	NUM
ejpam-6475	247	5	]	]	PUNCT
ejpam-6475	247	6	.	.	PUNCT
ejpam-6475	248	1	for	for	ADP
ejpam-6475	248	2	example	example	NOUN
ejpam-6475	248	3	:	:	PUNCT
ejpam-6475	248	4	υ0	υ0	NOUN
ejpam-6475	248	5	=	=	SYM
ejpam-6475	248	6	1	1	NUM
ejpam-6475	248	7	,	,	PUNCT
ejpam-6475	248	8	υ1	υ1	PROPN
ejpam-6475	248	9	=	=	SYM
ejpam-6475	248	10	0.5	0.5	NUM
ejpam-6475	248	11	,	,	PUNCT
ejpam-6475	248	12	υ2	υ2	NOUN
ejpam-6475	248	13	=	=	PUNCT
ejpam-6475	248	14	0.25	0.25	NUM
ejpam-6475	248	15	,	,	PUNCT
ejpam-6475	248	16	.	.	PUNCT
ejpam-6475	248	17	.	.	PUNCT
ejpam-6475	248	18	.	.	PUNCT
ejpam-6475	249	1	,	,	PUNCT
ejpam-6475	249	2	υn	υn	NOUN
ejpam-6475	250	1	=	=	NOUN
ejpam-6475	250	2	1	1	NUM
ejpam-6475	250	3	2n	2n	NUM
ejpam-6475	250	4	→	→	SYM
ejpam-6475	250	5	0	0	X
ejpam-6475	250	6	.	.	PUNCT
ejpam-6475	250	7	application	application	NOUN
ejpam-6475	250	8	2	2	NUM
ejpam-6475	250	9	(	(	PUNCT
ejpam-6475	250	10	robotic	robotic	ADJ
ejpam-6475	250	11	path	path	NOUN
ejpam-6475	250	12	planning	planning	NOUN
ejpam-6475	250	13	with	with	ADP
ejpam-6475	250	14	neutrosophic	neutrosophic	ADJ
ejpam-6475	250	15	uncertainty	uncertainty	NOUN
ejpam-6475	250	16	)	)	PUNCT
ejpam-6475	250	17	.	.	PUNCT
ejpam-6475	251	1	consider	consider	VERB
ejpam-6475	251	2	a	a	DET
ejpam-6475	251	3	robotic	robotic	ADJ
ejpam-6475	251	4	system	system	NOUN
ejpam-6475	251	5	navigating	navigate	VERB
ejpam-6475	251	6	in	in	ADP
ejpam-6475	251	7	a	a	DET
ejpam-6475	251	8	dynamic	dynamic	ADJ
ejpam-6475	251	9	environment	environment	NOUN
ejpam-6475	251	10	where	where	SCONJ
ejpam-6475	251	11	sensor	sensor	NOUN
ejpam-6475	251	12	measurements	measurement	NOUN
ejpam-6475	251	13	are	be	AUX
ejpam-6475	251	14	subject	subject	ADJ
ejpam-6475	251	15	to	to	ADP
ejpam-6475	251	16	uncertainty	uncertainty	NOUN
ejpam-6475	251	17	.	.	PUNCT
ejpam-6475	252	1	the	the	DET
ejpam-6475	252	2	neutrosophic	neutrosophic	ADJ
ejpam-6475	252	3	mr	mr	PROPN
ejpam-6475	252	4	-	-	PUNCT
ejpam-6475	252	5	metric	metric	ADJ
ejpam-6475	252	6	space	space	NOUN
ejpam-6475	252	7	framework	framework	NOUN
ejpam-6475	252	8	can	can	AUX
ejpam-6475	252	9	model	model	VERB
ejpam-6475	252	10	this	this	DET
ejpam-6475	252	11	scenario	scenario	NOUN
ejpam-6475	252	12	as	as	SCONJ
ejpam-6475	252	13	follows	follow	VERB
ejpam-6475	252	14	:	:	PUNCT
ejpam-6475	252	15	components	component	NOUN
ejpam-6475	252	16	:	:	PUNCT
ejpam-6475	252	17	•	•	NUM
ejpam-6475	252	18	state	state	NOUN
ejpam-6475	252	19	space	space	NOUN
ejpam-6475	252	20	:	:	PUNCT
ejpam-6475	252	21	let	let	VERB
ejpam-6475	252	22	z	z	PROPN
ejpam-6475	252	23	⊂	⊂	PROPN
ejpam-6475	252	24	r2	r2	PROPN
ejpam-6475	252	25	represent	represent	VERB
ejpam-6475	252	26	possible	possible	ADJ
ejpam-6475	252	27	robot	robot	NOUN
ejpam-6475	252	28	positions	position	NOUN
ejpam-6475	252	29	.	.	PUNCT
ejpam-6475	253	1	•	•	NUM
ejpam-6475	253	2	uncertainty	uncertainty	NOUN
ejpam-6475	253	3	modeling	modeling	NOUN
ejpam-6475	253	4	:	:	PUNCT
ejpam-6475	253	5	–	–	PUNCT
ejpam-6475	253	6	t	t	NOUN
ejpam-6475	253	7	(	(	PUNCT
ejpam-6475	253	8	x	x	X
ejpam-6475	253	9	,	,	PUNCT
ejpam-6475	253	10	y	y	PROPN
ejpam-6475	253	11	,	,	PUNCT
ejpam-6475	253	12	γ	γ	PROPN
ejpam-6475	253	13	):	):	PUNCT
ejpam-6475	253	14	confidence	confidence	NOUN
ejpam-6475	253	15	level	level	NOUN
ejpam-6475	253	16	that	that	SCONJ
ejpam-6475	253	17	the	the	DET
ejpam-6475	253	18	robot	robot	NOUN
ejpam-6475	253	19	is	be	AUX
ejpam-6475	253	20	at	at	ADP
ejpam-6475	253	21	y	y	NOUN
ejpam-6475	253	22	given	give	VERB
ejpam-6475	253	23	a	a	DET
ejpam-6475	253	24	noisy	noisy	ADJ
ejpam-6475	253	25	observation	observation	NOUN
ejpam-6475	253	26	x.	x.	NOUN
ejpam-6475	253	27	–	–	PUNCT
ejpam-6475	253	28	f(x	f(x	PROPN
ejpam-6475	253	29	,	,	PUNCT
ejpam-6475	253	30	y	y	PROPN
ejpam-6475	253	31	,	,	PUNCT
ejpam-6475	253	32	γ	γ	X
ejpam-6475	253	33	):	):	PUNCT
ejpam-6475	253	34	degree	degree	NOUN
ejpam-6475	253	35	of	of	ADP
ejpam-6475	253	36	discrepancy	discrepancy	NOUN
ejpam-6475	253	37	between	between	ADP
ejpam-6475	253	38	x	x	PROPN
ejpam-6475	253	39	and	and	CCONJ
ejpam-6475	253	40	y	y	PROPN
ejpam-6475	253	41	(	(	PUNCT
ejpam-6475	253	42	e.g.	e.g.	ADV
ejpam-6475	253	43	,	,	PUNCT
ejpam-6475	253	44	due	due	ADP
ejpam-6475	253	45	to	to	ADP
ejpam-6475	253	46	sensor	sensor	NOUN
ejpam-6475	253	47	noise	noise	NOUN
ejpam-6475	253	48	)	)	PUNCT
ejpam-6475	253	49	.	.	PUNCT
ejpam-6475	254	1	–	–	PUNCT
ejpam-6475	254	2	i(x	i(x	PROPN
ejpam-6475	254	3	,	,	PUNCT
ejpam-6475	254	4	y	y	PROPN
ejpam-6475	254	5	,	,	PUNCT
ejpam-6475	254	6	γ	γ	PROPN
ejpam-6475	254	7	):	):	PUNCT
ejpam-6475	254	8	optional	optional	ADJ
ejpam-6475	254	9	indeterminacy	indeterminacy	NOUN
ejpam-6475	254	10	term	term	NOUN
ejpam-6475	254	11	for	for	ADP
ejpam-6475	254	12	unmodeled	unmodeled	ADJ
ejpam-6475	254	13	disturbances	disturbance	NOUN
ejpam-6475	254	14	(	(	PUNCT
ejpam-6475	254	15	e.g.	e.g.	ADV
ejpam-6475	254	16	,	,	PUNCT
ejpam-6475	254	17	i	i	PRON
ejpam-6475	254	18	=	=	NOUN
ejpam-6475	254	19	0.1	0.1	NUM
ejpam-6475	254	20	for	for	ADP
ejpam-6475	254	21	10	10	NUM
ejpam-6475	254	22	%	%	NOUN
ejpam-6475	254	23	ambiguity	ambiguity	NOUN
ejpam-6475	254	24	)	)	PUNCT
ejpam-6475	254	25	.	.	PUNCT
ejpam-6475	255	1	•	•	NUM
ejpam-6475	255	2	metric	metric	ADJ
ejpam-6475	255	3	:	:	PUNCT
ejpam-6475	255	4	m(x	m(x	PROPN
ejpam-6475	255	5	,	,	PUNCT
ejpam-6475	255	6	y	y	PROPN
ejpam-6475	255	7	,	,	PUNCT
ejpam-6475	255	8	z	z	NOUN
ejpam-6475	255	9	)	)	PUNCT
ejpam-6475	255	10	could	could	AUX
ejpam-6475	255	11	be	be	AUX
ejpam-6475	255	12	the	the	DET
ejpam-6475	255	13	maximum	maximum	ADJ
ejpam-6475	255	14	euclidean	euclidean	ADJ
ejpam-6475	255	15	distance	distance	NOUN
ejpam-6475	255	16	between	between	ADP
ejpam-6475	255	17	x	x	PROPN
ejpam-6475	255	18	,	,	PUNCT
ejpam-6475	255	19	y	y	PROPN
ejpam-6475	255	20	,	,	PUNCT
ejpam-6475	255	21	z.	z.	PROPN
ejpam-6475	255	22	contraction	contraction	PROPN
ejpam-6475	255	23	-	-	PUNCT
ejpam-6475	255	24	based	base	VERB
ejpam-6475	255	25	navigation	navigation	NOUN
ejpam-6475	255	26	:	:	PUNCT
ejpam-6475	255	27	the	the	DET
ejpam-6475	255	28	robot	robot	NOUN
ejpam-6475	255	29	’s	’s	PART
ejpam-6475	255	30	path	path	NOUN
ejpam-6475	255	31	planner	planner	NOUN
ejpam-6475	255	32	uses	use	VERB
ejpam-6475	255	33	a	a	DET
ejpam-6475	255	34	contraction	contraction	NOUN
ejpam-6475	255	35	mapping	mapping	NOUN
ejpam-6475	255	36	ψ	ψ	X
ejpam-6475	255	37	(	(	PUNCT
ejpam-6475	255	38	e.g.	e.g.	ADV
ejpam-6475	255	39	,	,	PUNCT
ejpam-6475	255	40	ψ(x	ψ(x	NUM
ejpam-6475	255	41	)	)	PUNCT
ejpam-6475	255	42	=	=	SYM
ejpam-6475	255	43	x+α(g−x	x+α(g−x	PROPN
ejpam-6475	255	44	)	)	PUNCT
ejpam-6475	255	45	,	,	PUNCT
ejpam-6475	255	46	where	where	SCONJ
ejpam-6475	255	47	g	g	PROPN
ejpam-6475	255	48	is	be	AUX
ejpam-6475	255	49	the	the	DET
ejpam-6475	255	50	goal	goal	NOUN
ejpam-6475	255	51	and	and	CCONJ
ejpam-6475	255	52	α	α	PRON
ejpam-6475	255	53	∈	∈	PROPN
ejpam-6475	255	54	(	(	PUNCT
ejpam-6475	255	55	0	0	NUM
ejpam-6475	255	56	,	,	PUNCT
ejpam-6475	255	57	1	1	NUM
ejpam-6475	255	58	)	)	PUNCT
ejpam-6475	255	59	is	be	AUX
ejpam-6475	255	60	a	a	DET
ejpam-6475	255	61	gain	gain	NOUN
ejpam-6475	255	62	)	)	PUNCT
ejpam-6475	255	63	.	.	PUNCT
ejpam-6475	256	1	the	the	DET
ejpam-6475	256	2	conditions	condition	NOUN
ejpam-6475	256	3	of	of	ADP
ejpam-6475	256	4	theorem	theorem	ADJ
ejpam-6475	256	5	2	2	NUM
ejpam-6475	256	6	ensure	ensure	VERB
ejpam-6475	256	7	:	:	PUNCT
ejpam-6475	256	8	•	•	ADP
ejpam-6475	256	9	the	the	DET
ejpam-6475	256	10	robot	robot	NOUN
ejpam-6475	256	11	’s	’s	PART
ejpam-6475	256	12	estimated	estimate	VERB
ejpam-6475	256	13	position	position	NOUN
ejpam-6475	256	14	converges	converge	VERB
ejpam-6475	256	15	to	to	ADP
ejpam-6475	256	16	the	the	DET
ejpam-6475	256	17	true	true	ADJ
ejpam-6475	256	18	goal	goal	NOUN
ejpam-6475	256	19	g	g	PROPN
ejpam-6475	256	20	(	(	PUNCT
ejpam-6475	256	21	fixed	fix	VERB
ejpam-6475	256	22	point	point	NOUN
ejpam-6475	256	23	)	)	PUNCT
ejpam-6475	256	24	.	.	PUNCT
ejpam-6475	257	1	•	•	NOUN
ejpam-6475	257	2	the	the	DET
ejpam-6475	257	3	convergence	convergence	NOUN
ejpam-6475	257	4	is	be	AUX
ejpam-6475	257	5	robust	robust	ADJ
ejpam-6475	257	6	to	to	PART
ejpam-6475	257	7	noise	noise	VERB
ejpam-6475	257	8	(	(	PUNCT
ejpam-6475	257	9	f	f	PROPN
ejpam-6475	257	10	diminishes	diminish	VERB
ejpam-6475	257	11	as	as	ADP
ejpam-6475	257	12	x	x	X
ejpam-6475	257	13	→	→	SYM
ejpam-6475	257	14	g	g	NOUN
ejpam-6475	257	15	)	)	PUNCT
ejpam-6475	257	16	.	.	PUNCT
ejpam-6475	258	1	•	•	NOUN
ejpam-6475	258	2	the	the	DET
ejpam-6475	258	3	mr	mr	PROPN
ejpam-6475	258	4	-	-	PUNCT
ejpam-6475	258	5	metric	metric	ADJ
ejpam-6475	258	6	m	m	NOUN
ejpam-6475	258	7	ensures	ensure	VERB
ejpam-6475	258	8	geometric	geometric	ADJ
ejpam-6475	258	9	consistency	consistency	NOUN
ejpam-6475	258	10	in	in	ADP
ejpam-6475	258	11	the	the	DET
ejpam-6475	258	12	robot	robot	NOUN
ejpam-6475	258	13	’s	’s	PART
ejpam-6475	258	14	movement	movement	NOUN
ejpam-6475	258	15	.	.	PUNCT
ejpam-6475	259	1	advantages	advantage	NOUN
ejpam-6475	259	2	:	:	PUNCT
ejpam-6475	259	3	•	•	NOUN
ejpam-6475	259	4	explicit	explicit	ADJ
ejpam-6475	259	5	uncertainty	uncertainty	NOUN
ejpam-6475	259	6	handling	handle	VERB
ejpam-6475	259	7	:	:	PUNCT
ejpam-6475	259	8	f	f	PROPN
ejpam-6475	259	9	allows	allow	VERB
ejpam-6475	259	10	the	the	DET
ejpam-6475	259	11	robot	robot	NOUN
ejpam-6475	259	12	to	to	PART
ejpam-6475	259	13	quantify	quantify	VERB
ejpam-6475	259	14	and	and	CCONJ
ejpam-6475	259	15	reject	reject	VERB
ejpam-6475	259	16	unreliable	unreliable	ADJ
ejpam-6475	259	17	sensor	sensor	NOUN
ejpam-6475	259	18	data	datum	NOUN
ejpam-6475	259	19	.	.	PUNCT
ejpam-6475	260	1	a.	a.	NOUN
ejpam-6475	260	2	malkawi	malkawi	ADP
ejpam-6475	260	3	/	/	SYM
ejpam-6475	260	4	eur	eur	PROPN
ejpam-6475	260	5	.	.	PUNCT
ejpam-6475	261	1	j.	j.	PROPN
ejpam-6475	261	2	pure	pure	PROPN
ejpam-6475	261	3	appl	appl	PROPN
ejpam-6475	261	4	.	.	PROPN
ejpam-6475	261	5	math	math	PROPN
ejpam-6475	261	6	,	,	PUNCT
ejpam-6475	261	7	18	18	NUM
ejpam-6475	261	8	(	(	PUNCT
ejpam-6475	261	9	3	3	NUM
ejpam-6475	261	10	)	)	PUNCT
ejpam-6475	261	11	(	(	PUNCT
ejpam-6475	261	12	2025	2025	NUM
ejpam-6475	261	13	)	)	PUNCT
ejpam-6475	261	14	,	,	PUNCT
ejpam-6475	261	15	6475	6475	NUM
ejpam-6475	261	16	15	15	NUM
ejpam-6475	261	17	of	of	ADP
ejpam-6475	261	18	20	20	NUM
ejpam-6475	261	19	•	•	NOUN
ejpam-6475	261	20	theoretical	theoretical	ADJ
ejpam-6475	261	21	guarantees	guarantee	NOUN
ejpam-6475	261	22	:	:	PUNCT
ejpam-6475	261	23	theorem	theorem	ADJ
ejpam-6475	261	24	2	2	NUM
ejpam-6475	261	25	ensures	ensure	VERB
ejpam-6475	261	26	convergence	convergence	NOUN
ejpam-6475	261	27	even	even	ADV
ejpam-6475	261	28	with	with	ADP
ejpam-6475	261	29	noisy	noisy	ADJ
ejpam-6475	261	30	measurements	measurement	NOUN
ejpam-6475	261	31	.	.	PUNCT
ejpam-6475	262	1	•	•	NUM
ejpam-6475	262	2	flexibility	flexibility	NOUN
ejpam-6475	262	3	:	:	PUNCT
ejpam-6475	262	4	the	the	DET
ejpam-6475	262	5	framework	framework	NOUN
ejpam-6475	262	6	accommodates	accommodate	VERB
ejpam-6475	262	7	indeterminacy	indeterminacy	NOUN
ejpam-6475	262	8	(	(	PUNCT
ejpam-6475	262	9	i	i	NOUN
ejpam-6475	262	10	)	)	PUNCT
ejpam-6475	262	11	for	for	ADP
ejpam-6475	262	12	complex	complex	ADJ
ejpam-6475	262	13	environments	environment	NOUN
ejpam-6475	262	14	.	.	PUNCT
ejpam-6475	263	1	implementation	implementation	NOUN
ejpam-6475	263	2	outline	outline	NOUN
ejpam-6475	263	3	:	:	PUNCT
ejpam-6475	263	4	(	(	PUNCT
ejpam-6475	263	5	i	i	NOUN
ejpam-6475	263	6	)	)	PUNCT
ejpam-6475	263	7	define	define	VERB
ejpam-6475	263	8	t	t	PROPN
ejpam-6475	263	9	,	,	PUNCT
ejpam-6475	263	10	f	f	PROPN
ejpam-6475	263	11	,	,	PUNCT
ejpam-6475	263	12	and	and	CCONJ
ejpam-6475	263	13	m	m	AUX
ejpam-6475	263	14	based	base	VERB
ejpam-6475	263	15	on	on	ADP
ejpam-6475	263	16	sensor	sensor	NOUN
ejpam-6475	263	17	characteristics	characteristic	NOUN
ejpam-6475	263	18	.	.	PUNCT
ejpam-6475	264	1	(	(	PUNCT
ejpam-6475	264	2	ii	ii	NOUN
ejpam-6475	264	3	)	)	PUNCT
ejpam-6475	264	4	design	design	NOUN
ejpam-6475	264	5	ψ	ψ	NOUN
ejpam-6475	264	6	as	as	ADP
ejpam-6475	264	7	a	a	DET
ejpam-6475	264	8	contraction	contraction	NOUN
ejpam-6475	264	9	mapping	mapping	NOUN
ejpam-6475	264	10	toward	toward	ADP
ejpam-6475	264	11	the	the	DET
ejpam-6475	264	12	goal	goal	NOUN
ejpam-6475	264	13	.	.	PUNCT
ejpam-6475	265	1	(	(	PUNCT
ejpam-6475	265	2	iii	iii	NOUN
ejpam-6475	265	3	)	)	PUNCT
ejpam-6475	265	4	iterate	iterate	NOUN
ejpam-6475	265	5	xn+1	xn+1	PROPN
ejpam-6475	265	6	=	=	SYM
ejpam-6475	265	7	ψ(xn	ψ(xn	NOUN
ejpam-6475	265	8	)	)	PUNCT
ejpam-6475	265	9	until	until	ADP
ejpam-6475	265	10	m(xn	m(xn	PROPN
ejpam-6475	265	11	,	,	PUNCT
ejpam-6475	265	12	g	g	NOUN
ejpam-6475	265	13	,	,	PUNCT
ejpam-6475	265	14	g	g	NOUN
ejpam-6475	265	15	)	)	PUNCT
ejpam-6475	265	16	<	<	X
ejpam-6475	265	17	ϵ	ϵ	X
ejpam-6475	265	18	(	(	PUNCT
ejpam-6475	265	19	threshold	threshold	PROPN
ejpam-6475	265	20	)	)	PUNCT
ejpam-6475	265	21	.	.	PUNCT
ejpam-6475	266	1	(	(	PUNCT
ejpam-6475	266	2	iv	iv	X
ejpam-6475	266	3	)	)	PUNCT
ejpam-6475	266	4	reject	reject	VERB
ejpam-6475	266	5	steps	step	NOUN
ejpam-6475	266	6	where	where	SCONJ
ejpam-6475	266	7	f(xn	f(xn	NOUN
ejpam-6475	266	8	,	,	PUNCT
ejpam-6475	266	9	g	g	PROPN
ejpam-6475	266	10	,	,	PUNCT
ejpam-6475	266	11	γ	γ	NOUN
ejpam-6475	266	12	)	)	PUNCT
ejpam-6475	266	13	>	>	PUNCT
ejpam-6475	267	1	τ	τ	PROPN
ejpam-6475	268	1	(	(	PUNCT
ejpam-6475	268	2	noise	noise	NOUN
ejpam-6475	268	3	threshold	threshold	NOUN
ejpam-6475	268	4	)	)	PUNCT
ejpam-6475	268	5	.	.	PUNCT
ejpam-6475	269	1	3	3	X
ejpam-6475	269	2	.	.	NOUN
ejpam-6475	269	3	example	example	NOUN
ejpam-6475	269	4	for	for	ADP
ejpam-6475	269	5	theorem	theorem	ADJ
ejpam-6475	269	6	3	3	NUM
ejpam-6475	269	7	(	(	PUNCT
ejpam-6475	269	8	neutrosophic	neutrosophic	ADJ
ejpam-6475	269	9	convergence	convergence	NOUN
ejpam-6475	269	10	in	in	ADP
ejpam-6475	269	11	r2	r2	PROPN
ejpam-6475	269	12	)	)	PUNCT
ejpam-6475	269	13	example	example	NOUN
ejpam-6475	269	14	3	3	NUM
ejpam-6475	269	15	(	(	PUNCT
ejpam-6475	269	16	convergence	convergence	NOUN
ejpam-6475	269	17	of	of	ADP
ejpam-6475	269	18	a	a	DET
ejpam-6475	269	19	sequence	sequence	NOUN
ejpam-6475	269	20	in	in	ADP
ejpam-6475	269	21	a	a	DET
ejpam-6475	269	22	neutrosophic	neutrosophic	ADJ
ejpam-6475	269	23	mr	mr	ADJ
ejpam-6475	269	24	-	-	PUNCT
ejpam-6475	269	25	metric	metric	ADJ
ejpam-6475	269	26	space	space	NOUN
ejpam-6475	269	27	)	)	PUNCT
ejpam-6475	269	28	.	.	PUNCT
ejpam-6475	270	1	consider	consider	VERB
ejpam-6475	270	2	the	the	DET
ejpam-6475	270	3	neutrosophic	neutrosophic	ADJ
ejpam-6475	270	4	mr	mr	ADJ
ejpam-6475	270	5	-	-	PUNCT
ejpam-6475	270	6	metric	metric	ADJ
ejpam-6475	270	7	space	space	NOUN
ejpam-6475	270	8	(	(	PUNCT
ejpam-6475	270	9	z	z	NOUN
ejpam-6475	270	10	,	,	PUNCT
ejpam-6475	270	11	m	m	PROPN
ejpam-6475	270	12	,	,	PUNCT
ejpam-6475	270	13	t	t	PROPN
ejpam-6475	270	14	,	,	PUNCT
ejpam-6475	270	15	f	f	PROPN
ejpam-6475	270	16	,	,	PUNCT
ejpam-6475	270	17	i	i	PRON
ejpam-6475	270	18	,	,	PUNCT
ejpam-6475	270	19	•	•	PROPN
ejpam-6475	270	20	,	,	PUNCT
ejpam-6475	270	21	⋄	⋄	PROPN
ejpam-6475	270	22	,	,	PUNCT
ejpam-6475	270	23	r	r	NOUN
ejpam-6475	270	24	,	,	PUNCT
ejpam-6475	270	25	⋆	⋆	NOUN
ejpam-6475	270	26	)	)	PUNCT
ejpam-6475	270	27	where	where	SCONJ
ejpam-6475	270	28	:	:	PUNCT
ejpam-6475	270	29	•	•	NOUN
ejpam-6475	270	30	z	z	NOUN
ejpam-6475	270	31	=	=	SYM
ejpam-6475	270	32	r2	r2	PROPN
ejpam-6475	270	33	(	(	PUNCT
ejpam-6475	270	34	the	the	DET
ejpam-6475	270	35	euclidean	euclidean	ADJ
ejpam-6475	270	36	plane	plane	NOUN
ejpam-6475	270	37	)	)	PUNCT
ejpam-6475	270	38	.	.	PUNCT
ejpam-6475	271	1	•	•	NOUN
ejpam-6475	271	2	the	the	DET
ejpam-6475	271	3	mr	mr	PROPN
ejpam-6475	271	4	-	-	PUNCT
ejpam-6475	271	5	metric	metric	ADJ
ejpam-6475	271	6	m	m	NOUN
ejpam-6475	271	7	:	:	PUNCT
ejpam-6475	271	8	z3	z3	PROPN
ejpam-6475	271	9	→	→	PUNCT
ejpam-6475	272	1	[	[	X
ejpam-6475	272	2	0,∞	0,∞	NOUN
ejpam-6475	272	3	)	)	PUNCT
ejpam-6475	272	4	is	be	AUX
ejpam-6475	272	5	defined	define	VERB
ejpam-6475	272	6	by	by	ADP
ejpam-6475	272	7	:	:	PUNCT
ejpam-6475	272	8	m(v	m(v	NUM
ejpam-6475	272	9	,	,	PUNCT
ejpam-6475	272	10	w	w	NOUN
ejpam-6475	272	11	,	,	PUNCT
ejpam-6475	272	12	u	u	NOUN
ejpam-6475	272	13	)	)	PUNCT
ejpam-6475	272	14	=	=	SYM
ejpam-6475	272	15	max	max	PROPN
ejpam-6475	272	16	(	(	PUNCT
ejpam-6475	272	17	∥v	∥v	PROPN
ejpam-6475	272	18	−w∥	−w∥	PROPN
ejpam-6475	272	19	,	,	PUNCT
ejpam-6475	272	20	∥w	∥w	PROPN
ejpam-6475	272	21	−	−	PROPN
ejpam-6475	272	22	u∥	u∥	PROPN
ejpam-6475	272	23	,	,	PUNCT
ejpam-6475	272	24	∥u−	∥u−	PROPN
ejpam-6475	272	25	v∥	v∥	NOUN
ejpam-6475	272	26	)	)	PUNCT
ejpam-6475	272	27	,	,	PUNCT
ejpam-6475	272	28	where	where	SCONJ
ejpam-6475	272	29	∥	∥	X
ejpam-6475	272	30	·	·	PUNCT
ejpam-6475	272	31	∥	∥	NUM
ejpam-6475	272	32	is	be	AUX
ejpam-6475	272	33	the	the	DET
ejpam-6475	272	34	euclidean	euclidean	ADJ
ejpam-6475	272	35	norm	norm	NOUN
ejpam-6475	272	36	.	.	PUNCT
ejpam-6475	273	1	this	this	DET
ejpam-6475	273	2	metric	metric	ADJ
ejpam-6475	273	3	captures	capture	VERB
ejpam-6475	273	4	the	the	DET
ejpam-6475	273	5	maximum	maximum	ADJ
ejpam-6475	273	6	pairwise	pairwise	NOUN
ejpam-6475	273	7	distance	distance	NOUN
ejpam-6475	273	8	between	between	ADP
ejpam-6475	273	9	the	the	DET
ejpam-6475	273	10	three	three	NUM
ejpam-6475	273	11	points	point	NOUN
ejpam-6475	273	12	v	v	ADP
ejpam-6475	273	13	,	,	PUNCT
ejpam-6475	273	14	w	w	PROPN
ejpam-6475	273	15	,	,	PUNCT
ejpam-6475	273	16	u.	u.	NOUN
ejpam-6475	273	17	•	•	ADP
ejpam-6475	273	18	the	the	DET
ejpam-6475	273	19	truth	truth	NOUN
ejpam-6475	273	20	membership	membership	NOUN
ejpam-6475	273	21	function	function	NOUN
ejpam-6475	273	22	t	t	NOUN
ejpam-6475	273	23	:	:	PUNCT
ejpam-6475	274	1	z	z	NOUN
ejpam-6475	274	2	×	×	PROPN
ejpam-6475	274	3	z	z	NOUN
ejpam-6475	274	4	×	×	NOUN
ejpam-6475	274	5	(	(	PUNCT
ejpam-6475	274	6	0,∞	0,∞	NOUN
ejpam-6475	274	7	)	)	PUNCT
ejpam-6475	274	8	→	→	PUNCT
ejpam-6475	275	1	[	[	X
ejpam-6475	275	2	0	0	NUM
ejpam-6475	275	3	,	,	PUNCT
ejpam-6475	275	4	1	1	NUM
ejpam-6475	275	5	]	]	PUNCT
ejpam-6475	275	6	is	be	AUX
ejpam-6475	275	7	given	give	VERB
ejpam-6475	275	8	by	by	ADP
ejpam-6475	275	9	:	:	PUNCT
ejpam-6475	275	10	t	t	PROPN
ejpam-6475	275	11	(	(	PUNCT
ejpam-6475	275	12	v	v	NOUN
ejpam-6475	275	13	,	,	PUNCT
ejpam-6475	275	14	w	w	PROPN
ejpam-6475	275	15	,	,	PUNCT
ejpam-6475	275	16	γ	γ	NOUN
ejpam-6475	275	17	)	)	PUNCT
ejpam-6475	275	18	=	=	SYM
ejpam-6475	275	19	1	1	NUM
ejpam-6475	275	20	1	1	NUM
ejpam-6475	275	21	+	+	CCONJ
ejpam-6475	275	22	∥v−w∥	∥v−w∥	NOUN
ejpam-6475	275	23	γ	γ	X
ejpam-6475	275	24	.	.	PUNCT
ejpam-6475	276	1	this	this	DET
ejpam-6475	276	2	function	function	NOUN
ejpam-6475	276	3	quantifies	quantify	VERB
ejpam-6475	276	4	the	the	DET
ejpam-6475	276	5	degree	degree	NOUN
ejpam-6475	276	6	of	of	ADP
ejpam-6475	276	7	similarity	similarity	NOUN
ejpam-6475	276	8	between	between	ADP
ejpam-6475	276	9	v	v	NOUN
ejpam-6475	276	10	and	and	CCONJ
ejpam-6475	276	11	w	w	NOUN
ejpam-6475	276	12	,	,	PUNCT
ejpam-6475	276	13	approaching	approach	VERB
ejpam-6475	276	14	1	1	NUM
ejpam-6475	276	15	as	as	SCONJ
ejpam-6475	276	16	v	v	NUM
ejpam-6475	276	17	nears	near	VERB
ejpam-6475	276	18	w	w	ADP
ejpam-6475	276	19	or	or	CCONJ
ejpam-6475	276	20	as	as	ADP
ejpam-6475	276	21	γ	γ	NOUN
ejpam-6475	276	22	increases	increase	NOUN
ejpam-6475	276	23	.	.	PUNCT
ejpam-6475	277	1	•	•	NUM
ejpam-6475	277	2	the	the	DET
ejpam-6475	277	3	falsity	falsity	NOUN
ejpam-6475	277	4	membership	membership	NOUN
ejpam-6475	277	5	function	function	NOUN
ejpam-6475	277	6	f	f	NOUN
ejpam-6475	278	1	:	:	PUNCT
ejpam-6475	278	2	z	z	NOUN
ejpam-6475	278	3	×	×	PROPN
ejpam-6475	278	4	z	z	NOUN
ejpam-6475	278	5	×	×	NOUN
ejpam-6475	278	6	(	(	PUNCT
ejpam-6475	278	7	0,∞	0,∞	NOUN
ejpam-6475	278	8	)	)	PUNCT
ejpam-6475	278	9	→	→	PUNCT
ejpam-6475	279	1	[	[	X
ejpam-6475	279	2	0	0	NUM
ejpam-6475	279	3	,	,	PUNCT
ejpam-6475	279	4	1	1	NUM
ejpam-6475	279	5	]	]	PUNCT
ejpam-6475	279	6	is	be	AUX
ejpam-6475	279	7	defined	define	VERB
ejpam-6475	279	8	as	as	ADP
ejpam-6475	279	9	:	:	PUNCT
ejpam-6475	279	10	f(v	f(v	NOUN
ejpam-6475	279	11	,	,	PUNCT
ejpam-6475	279	12	w	w	NOUN
ejpam-6475	279	13	,	,	PUNCT
ejpam-6475	279	14	γ	γ	NOUN
ejpam-6475	279	15	)	)	PUNCT
ejpam-6475	279	16	=	=	PUNCT
ejpam-6475	279	17	∥v−w∥	∥v−w∥	VERB
ejpam-6475	279	18	γ	γ	X
ejpam-6475	279	19	1	1	NUM
ejpam-6475	279	20	+	+	CCONJ
ejpam-6475	279	21	∥v−w∥	∥v−w∥	NOUN
ejpam-6475	279	22	γ	γ	X
ejpam-6475	279	23	.	.	PUNCT
ejpam-6475	280	1	this	this	PRON
ejpam-6475	280	2	represents	represent	VERB
ejpam-6475	280	3	the	the	DET
ejpam-6475	280	4	dissimilarity	dissimilarity	NOUN
ejpam-6475	280	5	between	between	ADP
ejpam-6475	280	6	v	v	NOUN
ejpam-6475	280	7	and	and	CCONJ
ejpam-6475	280	8	w	w	NOUN
ejpam-6475	280	9	,	,	PUNCT
ejpam-6475	280	10	complementing	complement	VERB
ejpam-6475	280	11	t	t	PROPN
ejpam-6475	280	12	.	.	PUNCT
ejpam-6475	281	1	•	•	ADP
ejpam-6475	281	2	the	the	DET
ejpam-6475	281	3	indeterminacy	indeterminacy	NOUN
ejpam-6475	281	4	function	function	NOUN
ejpam-6475	281	5	i	i	PRON
ejpam-6475	281	6	is	be	AUX
ejpam-6475	281	7	set	set	VERB
ejpam-6475	281	8	to	to	ADP
ejpam-6475	281	9	zero	zero	NUM
ejpam-6475	281	10	(	(	PUNCT
ejpam-6475	281	11	i(v	i(v	PROPN
ejpam-6475	281	12	,	,	PUNCT
ejpam-6475	281	13	w	w	PROPN
ejpam-6475	281	14	,	,	PUNCT
ejpam-6475	281	15	γ	γ	NOUN
ejpam-6475	281	16	)	)	PUNCT
ejpam-6475	281	17	=	=	SYM
ejpam-6475	281	18	0	0	NUM
ejpam-6475	281	19	)	)	PUNCT
ejpam-6475	281	20	for	for	ADP
ejpam-6475	281	21	simplicity	simplicity	NOUN
ejpam-6475	281	22	,	,	PUNCT
ejpam-6475	281	23	indicating	indicate	VERB
ejpam-6475	281	24	no	no	DET
ejpam-6475	281	25	ambiguity	ambiguity	NOUN
ejpam-6475	281	26	in	in	ADP
ejpam-6475	281	27	measurements	measurement	NOUN
ejpam-6475	281	28	.	.	PUNCT
ejpam-6475	282	1	a.	a.	NOUN
ejpam-6475	282	2	malkawi	malkawi	ADP
ejpam-6475	282	3	/	/	SYM
ejpam-6475	282	4	eur	eur	PROPN
ejpam-6475	282	5	.	.	PUNCT
ejpam-6475	283	1	j.	j.	PROPN
ejpam-6475	283	2	pure	pure	PROPN
ejpam-6475	283	3	appl	appl	PROPN
ejpam-6475	283	4	.	.	PROPN
ejpam-6475	283	5	math	math	PROPN
ejpam-6475	283	6	,	,	PUNCT
ejpam-6475	283	7	18	18	NUM
ejpam-6475	283	8	(	(	PUNCT
ejpam-6475	283	9	3	3	NUM
ejpam-6475	283	10	)	)	PUNCT
ejpam-6475	283	11	(	(	PUNCT
ejpam-6475	283	12	2025	2025	NUM
ejpam-6475	283	13	)	)	PUNCT
ejpam-6475	283	14	,	,	PUNCT
ejpam-6475	283	15	6475	6475	NUM
ejpam-6475	283	16	16	16	NUM
ejpam-6475	283	17	of	of	ADP
ejpam-6475	283	18	20	20	NUM
ejpam-6475	283	19	sequence	sequence	NOUN
ejpam-6475	283	20	definition	definition	NOUN
ejpam-6475	283	21	:	:	PUNCT
ejpam-6475	283	22	consider	consider	VERB
ejpam-6475	283	23	the	the	DET
ejpam-6475	283	24	sequence	sequence	NOUN
ejpam-6475	283	25	{	{	PUNCT
ejpam-6475	283	26	vn	vn	NOUN
ejpam-6475	283	27	}	}	PUNCT
ejpam-6475	283	28	in	in	ADP
ejpam-6475	283	29	z	z	PROPN
ejpam-6475	283	30	where	where	SCONJ
ejpam-6475	283	31	:	:	PUNCT
ejpam-6475	283	32	vn	vn	PROPN
ejpam-6475	283	33	=	=	SYM
ejpam-6475	283	34	(	(	PUNCT
ejpam-6475	283	35	1	1	NUM
ejpam-6475	283	36	n	n	NOUN
ejpam-6475	283	37	,	,	PUNCT
ejpam-6475	283	38	1	1	NUM
ejpam-6475	283	39	n2	n2	NOUN
ejpam-6475	283	40	)	)	PUNCT
ejpam-6475	283	41	,	,	PUNCT
ejpam-6475	283	42	v	v	X
ejpam-6475	283	43	=	=	SYM
ejpam-6475	283	44	(	(	PUNCT
ejpam-6475	283	45	0	0	NUM
ejpam-6475	283	46	,	,	PUNCT
ejpam-6475	283	47	0	0	NUM
ejpam-6475	283	48	)	)	PUNCT
ejpam-6475	283	49	.	.	PUNCT
ejpam-6475	284	1	we	we	PRON
ejpam-6475	284	2	analyze	analyze	VERB
ejpam-6475	284	3	the	the	DET
ejpam-6475	284	4	convergence	convergence	NOUN
ejpam-6475	284	5	of	of	ADP
ejpam-6475	284	6	{	{	PUNCT
ejpam-6475	284	7	vn	vn	NOUN
ejpam-6475	284	8	}	}	PUNCT
ejpam-6475	284	9	to	to	ADP
ejpam-6475	284	10	v	v	NOUN
ejpam-6475	284	11	in	in	ADP
ejpam-6475	284	12	the	the	DET
ejpam-6475	284	13	nmr	nmr	NOUN
ejpam-6475	284	14	-	-	PUNCT
ejpam-6475	284	15	ms	ms	NOUN
ejpam-6475	284	16	topology	topology	NOUN
ejpam-6475	284	17	.	.	PUNCT
ejpam-6475	285	1	verification	verification	NOUN
ejpam-6475	285	2	of	of	ADP
ejpam-6475	285	3	neutrosophic	neutrosophic	ADJ
ejpam-6475	285	4	convergence	convergence	NOUN
ejpam-6475	285	5	:	:	PUNCT
ejpam-6475	285	6	by	by	ADP
ejpam-6475	285	7	theorem	theorem	NOUN
ejpam-6475	285	8	3	3	NUM
ejpam-6475	285	9	,	,	PUNCT
ejpam-6475	285	10	vn	vn	PROPN
ejpam-6475	285	11	→	→	SYM
ejpam-6475	285	12	v	v	NOUN
ejpam-6475	285	13	requires	require	VERB
ejpam-6475	285	14	:	:	PUNCT
ejpam-6475	285	15	•	•	NUM
ejpam-6475	285	16	limn→∞	limn→∞	PROPN
ejpam-6475	285	17	t	t	X
ejpam-6475	285	18	(	(	PUNCT
ejpam-6475	285	19	vn	vn	PROPN
ejpam-6475	285	20	,	,	PUNCT
ejpam-6475	285	21	v	v	NOUN
ejpam-6475	285	22	,	,	PUNCT
ejpam-6475	285	23	γ	γ	NOUN
ejpam-6475	285	24	)	)	PUNCT
ejpam-6475	285	25	=	=	SYM
ejpam-6475	285	26	1	1	NUM
ejpam-6475	285	27	,	,	PUNCT
ejpam-6475	285	28	•	•	NUM
ejpam-6475	285	29	limn→∞f(vn	limn→∞f(vn	PROPN
ejpam-6475	285	30	,	,	PUNCT
ejpam-6475	285	31	v	v	NOUN
ejpam-6475	285	32	,	,	PUNCT
ejpam-6475	285	33	γ	γ	NOUN
ejpam-6475	285	34	)	)	PUNCT
ejpam-6475	285	35	=	=	SYM
ejpam-6475	285	36	0	0	NUM
ejpam-6475	285	37	,	,	PUNCT
ejpam-6475	285	38	•	•	NUM
ejpam-6475	285	39	limn→∞m(vn	limn→∞m(vn	PROPN
ejpam-6475	285	40	,	,	PUNCT
ejpam-6475	285	41	v	v	NOUN
ejpam-6475	285	42	,	,	PUNCT
ejpam-6475	285	43	v	v	NOUN
ejpam-6475	285	44	)	)	PUNCT
ejpam-6475	285	45	=	=	SYM
ejpam-6475	285	46	0	0	X
ejpam-6475	285	47	.	.	PUNCT
ejpam-6475	285	48	step	step	NOUN
ejpam-6475	285	49	-	-	PUNCT
ejpam-6475	285	50	by	by	ADP
ejpam-6475	285	51	-	-	PUNCT
ejpam-6475	285	52	step	step	NOUN
ejpam-6475	285	53	calculations	calculation	NOUN
ejpam-6475	285	54	:	:	PUNCT
ejpam-6475	285	55	(	(	PUNCT
ejpam-6475	285	56	i	i	NOUN
ejpam-6475	285	57	)	)	PUNCT
ejpam-6475	285	58	truth	truth	NOUN
ejpam-6475	285	59	membership	membership	NOUN
ejpam-6475	285	60	(	(	PUNCT
ejpam-6475	285	61	t	t	PROPN
ejpam-6475	285	62	):	):	PUNCT
ejpam-6475	285	63	t	t	PROPN
ejpam-6475	285	64	(	(	PUNCT
ejpam-6475	285	65	vn	vn	PROPN
ejpam-6475	285	66	,	,	PUNCT
ejpam-6475	285	67	v	v	NOUN
ejpam-6475	285	68	,	,	PUNCT
ejpam-6475	285	69	γ	γ	NOUN
ejpam-6475	285	70	)	)	PUNCT
ejpam-6475	285	71	=	=	SYM
ejpam-6475	285	72	1	1	NUM
ejpam-6475	285	73	1	1	NUM
ejpam-6475	285	74	+	+	NUM
ejpam-6475	285	75	∥vn−v∥	∥vn−v∥	NOUN
ejpam-6475	285	76	γ	γ	X
ejpam-6475	285	77	=	=	SYM
ejpam-6475	285	78	1	1	NUM
ejpam-6475	285	79	1	1	NUM
ejpam-6475	285	80	+	+	CCONJ
ejpam-6475	285	81	√	√	NUM
ejpam-6475	285	82	1	1	NUM
ejpam-6475	285	83	n2	n2	NOUN
ejpam-6475	285	84	+	+	CCONJ
ejpam-6475	285	85	1	1	NUM
ejpam-6475	285	86	n4	n4	PROPN
ejpam-6475	285	87	γ	γ	NOUN
ejpam-6475	285	88	.	.	PUNCT
ejpam-6475	286	1	as	as	ADP
ejpam-6475	286	2	n	n	NUM
ejpam-6475	286	3	→	→	SYM
ejpam-6475	286	4	∞	∞	PROPN
ejpam-6475	286	5	,	,	PUNCT
ejpam-6475	286	6	√	√	NUM
ejpam-6475	286	7	1	1	NUM
ejpam-6475	286	8	n2	n2	NOUN
ejpam-6475	286	9	+	+	CCONJ
ejpam-6475	286	10	1	1	NUM
ejpam-6475	286	11	n4	n4	PROPN
ejpam-6475	286	12	→	→	X
ejpam-6475	286	13	0	0	NUM
ejpam-6475	286	14	,	,	PUNCT
ejpam-6475	286	15	so	so	ADV
ejpam-6475	286	16	:	:	PUNCT
ejpam-6475	286	17	lim	lim	PROPN
ejpam-6475	286	18	n→∞	n→∞	PROPN
ejpam-6475	286	19	t	t	PROPN
ejpam-6475	286	20	(	(	PUNCT
ejpam-6475	286	21	vn	vn	PROPN
ejpam-6475	286	22	,	,	PUNCT
ejpam-6475	286	23	v	v	NOUN
ejpam-6475	286	24	,	,	PUNCT
ejpam-6475	286	25	γ	γ	NOUN
ejpam-6475	286	26	)	)	PUNCT
ejpam-6475	286	27	=	=	SYM
ejpam-6475	286	28	1	1	NUM
ejpam-6475	286	29	1	1	NUM
ejpam-6475	286	30	+	+	SYM
ejpam-6475	286	31	0	0	NUM
ejpam-6475	286	32	=	=	SYM
ejpam-6475	286	33	1	1	X
ejpam-6475	286	34	.	.	PUNCT
ejpam-6475	286	35	(	(	PUNCT
ejpam-6475	286	36	ii	ii	NOUN
ejpam-6475	286	37	)	)	PUNCT
ejpam-6475	286	38	falsity	falsity	NOUN
ejpam-6475	286	39	membership	membership	NOUN
ejpam-6475	286	40	(	(	PUNCT
ejpam-6475	286	41	f	f	X
ejpam-6475	286	42	):	):	PUNCT
ejpam-6475	286	43	f(vn	f(vn	PROPN
ejpam-6475	286	44	,	,	PUNCT
ejpam-6475	286	45	v	v	NOUN
ejpam-6475	286	46	,	,	PUNCT
ejpam-6475	286	47	γ	γ	NOUN
ejpam-6475	286	48	)	)	PUNCT
ejpam-6475	286	49	=	=	SYM
ejpam-6475	286	50	√	√	NUM
ejpam-6475	286	51	1	1	NUM
ejpam-6475	286	52	n2	n2	NOUN
ejpam-6475	286	53	+	+	CCONJ
ejpam-6475	286	54	1	1	NUM
ejpam-6475	286	55	n4	n4	PROPN
ejpam-6475	286	56	γ	γ	X
ejpam-6475	286	57	1	1	NUM
ejpam-6475	286	58	+	+	CCONJ
ejpam-6475	286	59	√	√	NUM
ejpam-6475	286	60	1	1	NUM
ejpam-6475	286	61	n2	n2	NOUN
ejpam-6475	286	62	+	+	CCONJ
ejpam-6475	286	63	1	1	NUM
ejpam-6475	286	64	n4	n4	PROPN
ejpam-6475	286	65	γ	γ	X
ejpam-6475	286	66	.	.	PUNCT
ejpam-6475	287	1	the	the	DET
ejpam-6475	287	2	numerator	numerator	NOUN
ejpam-6475	287	3	→	→	SYM
ejpam-6475	287	4	0	0	PUNCT
ejpam-6475	287	5	as	as	ADP
ejpam-6475	287	6	n	n	NUM
ejpam-6475	287	7	→	→	SYM
ejpam-6475	287	8	∞	∞	PROPN
ejpam-6475	287	9	,	,	PUNCT
ejpam-6475	287	10	so	so	ADV
ejpam-6475	287	11	:	:	PUNCT
ejpam-6475	287	12	lim	lim	PROPN
ejpam-6475	287	13	n→∞	n→∞	NUM
ejpam-6475	287	14	f(vn	f(vn	PROPN
ejpam-6475	287	15	,	,	PUNCT
ejpam-6475	287	16	v	v	NOUN
ejpam-6475	287	17	,	,	PUNCT
ejpam-6475	287	18	γ	γ	NOUN
ejpam-6475	287	19	)	)	PUNCT
ejpam-6475	287	20	=	=	SYM
ejpam-6475	287	21	0	0	X
ejpam-6475	287	22	.	.	PUNCT
ejpam-6475	288	1	(	(	PUNCT
ejpam-6475	288	2	iii	iii	X
ejpam-6475	288	3	)	)	PUNCT
ejpam-6475	288	4	mr	mr	PROPN
ejpam-6475	288	5	-	-	PUNCT
ejpam-6475	288	6	metric	metric	ADJ
ejpam-6475	288	7	(	(	PUNCT
ejpam-6475	288	8	m	m	PROPN
ejpam-6475	288	9	):	):	PUNCT
ejpam-6475	288	10	m(vn	m(vn	NUM
ejpam-6475	288	11	,	,	PUNCT
ejpam-6475	288	12	v	v	NOUN
ejpam-6475	288	13	,	,	PUNCT
ejpam-6475	288	14	v	v	NOUN
ejpam-6475	288	15	)	)	PUNCT
ejpam-6475	288	16	=	=	SYM
ejpam-6475	288	17	max	max	PROPN
ejpam-6475	288	18	(	(	PUNCT
ejpam-6475	288	19	∥vn	∥vn	NOUN
ejpam-6475	288	20	−	−	PROPN
ejpam-6475	288	21	v∥	v∥	NOUN
ejpam-6475	288	22	,	,	PUNCT
ejpam-6475	288	23	∥v	∥v	PROPN
ejpam-6475	288	24	−	−	PROPN
ejpam-6475	288	25	v∥	v∥	NOUN
ejpam-6475	288	26	,	,	PUNCT
ejpam-6475	288	27	∥v	∥v	PROPN
ejpam-6475	288	28	−	−	PROPN
ejpam-6475	288	29	vn∥	vn∥	PROPN
ejpam-6475	288	30	)	)	PUNCT
ejpam-6475	289	1	=	=	PRON
ejpam-6475	289	2	∥vn	∥vn	PROPN
ejpam-6475	289	3	−	−	PROPN
ejpam-6475	289	4	v∥.	v∥.	PROPN
ejpam-6475	289	5	thus	thus	ADV
ejpam-6475	289	6	:	:	PUNCT
ejpam-6475	289	7	lim	lim	PROPN
ejpam-6475	289	8	n→∞	n→∞	NUM
ejpam-6475	289	9	m(vn	m(vn	NUM
ejpam-6475	289	10	,	,	PUNCT
ejpam-6475	289	11	v	v	NOUN
ejpam-6475	289	12	,	,	PUNCT
ejpam-6475	289	13	v	v	NOUN
ejpam-6475	289	14	)	)	PUNCT
ejpam-6475	289	15	=	=	VERB
ejpam-6475	289	16	lim	lim	PROPN
ejpam-6475	289	17	n→∞	n→∞	NUM
ejpam-6475	289	18	√	√	ADV
ejpam-6475	289	19	1	1	NUM
ejpam-6475	289	20	n2	n2	NOUN
ejpam-6475	289	21	+	+	CCONJ
ejpam-6475	289	22	1	1	NUM
ejpam-6475	289	23	n4	n4	PROPN
ejpam-6475	289	24	=	=	NOUN
ejpam-6475	289	25	0	0	X
ejpam-6475	289	26	.	.	PUNCT
ejpam-6475	289	27	conclusion	conclusion	NOUN
ejpam-6475	289	28	:	:	PUNCT
ejpam-6475	289	29	all	all	DET
ejpam-6475	289	30	three	three	NUM
ejpam-6475	289	31	conditions	condition	NOUN
ejpam-6475	289	32	of	of	ADP
ejpam-6475	289	33	theorem	theorem	NOUN
ejpam-6475	289	34	3	3	NUM
ejpam-6475	289	35	are	be	AUX
ejpam-6475	289	36	satisfied	satisfied	ADJ
ejpam-6475	289	37	,	,	PUNCT
ejpam-6475	289	38	proving	prove	VERB
ejpam-6475	289	39	that	that	SCONJ
ejpam-6475	289	40	vn	vn	PROPN
ejpam-6475	289	41	→	→	SYM
ejpam-6475	289	42	v	v	NOUN
ejpam-6475	289	43	in	in	ADP
ejpam-6475	289	44	the	the	DET
ejpam-6475	289	45	nmr	nmr	NOUN
ejpam-6475	289	46	-	-	PUNCT
ejpam-6475	289	47	ms	ms	NOUN
ejpam-6475	289	48	topology	topology	NOUN
ejpam-6475	289	49	.	.	PUNCT
ejpam-6475	290	1	this	this	DET
ejpam-6475	290	2	convergence	convergence	NOUN
ejpam-6475	290	3	is	be	AUX
ejpam-6475	290	4	stricter	strict	ADJ
ejpam-6475	290	5	than	than	ADP
ejpam-6475	290	6	in	in	ADP
ejpam-6475	290	7	standard	standard	ADJ
ejpam-6475	290	8	metric	metric	ADJ
ejpam-6475	290	9	spaces	space	NOUN
ejpam-6475	290	10	due	due	ADP
ejpam-6475	290	11	to	to	ADP
ejpam-6475	290	12	the	the	DET
ejpam-6475	290	13	simultaneous	simultaneous	ADJ
ejpam-6475	290	14	vanishing	vanishing	NOUN
ejpam-6475	290	15	of	of	ADP
ejpam-6475	290	16	f	f	PROPN
ejpam-6475	290	17	and	and	CCONJ
ejpam-6475	290	18	m	m	PROPN
ejpam-6475	290	19	.	.	PUNCT
ejpam-6475	291	1	a.	a.	NOUN
ejpam-6475	291	2	malkawi	malkawi	ADP
ejpam-6475	291	3	/	/	SYM
ejpam-6475	291	4	eur	eur	PROPN
ejpam-6475	291	5	.	.	PUNCT
ejpam-6475	292	1	j.	j.	PROPN
ejpam-6475	292	2	pure	pure	PROPN
ejpam-6475	292	3	appl	appl	PROPN
ejpam-6475	292	4	.	.	PROPN
ejpam-6475	292	5	math	math	PROPN
ejpam-6475	292	6	,	,	PUNCT
ejpam-6475	292	7	18	18	NUM
ejpam-6475	292	8	(	(	PUNCT
ejpam-6475	292	9	3	3	NUM
ejpam-6475	292	10	)	)	PUNCT
ejpam-6475	292	11	(	(	PUNCT
ejpam-6475	292	12	2025	2025	NUM
ejpam-6475	292	13	)	)	PUNCT
ejpam-6475	292	14	,	,	PUNCT
ejpam-6475	292	15	6475	6475	NUM
ejpam-6475	292	16	17	17	NUM
ejpam-6475	292	17	of	of	ADP
ejpam-6475	292	18	20	20	NUM
ejpam-6475	292	19	application	application	NOUN
ejpam-6475	292	20	3	3	NUM
ejpam-6475	292	21	(	(	PUNCT
ejpam-6475	292	22	medical	medical	ADJ
ejpam-6475	292	23	image	image	NOUN
ejpam-6475	292	24	reconstruction	reconstruction	NOUN
ejpam-6475	292	25	with	with	ADP
ejpam-6475	292	26	neutrosophic	neutrosophic	ADJ
ejpam-6475	292	27	uncertainty	uncertainty	NOUN
ejpam-6475	292	28	)	)	PUNCT
ejpam-6475	292	29	.	.	PUNCT
ejpam-6475	293	1	in	in	ADP
ejpam-6475	293	2	medical	medical	ADJ
ejpam-6475	293	3	imaging	imaging	NOUN
ejpam-6475	293	4	,	,	PUNCT
ejpam-6475	293	5	sequences	sequence	NOUN
ejpam-6475	293	6	of	of	ADP
ejpam-6475	293	7	noisy	noisy	ADJ
ejpam-6475	293	8	or	or	CCONJ
ejpam-6475	293	9	incomplete	incomplete	ADJ
ejpam-6475	293	10	images	image	NOUN
ejpam-6475	293	11	(	(	PUNCT
ejpam-6475	293	12	e.g.	e.g.	ADV
ejpam-6475	293	13	,	,	PUNCT
ejpam-6475	293	14	mri	mri	NOUN
ejpam-6475	293	15	or	or	CCONJ
ejpam-6475	293	16	ct	ct	PROPN
ejpam-6475	293	17	scans	scan	NOUN
ejpam-6475	293	18	)	)	PUNCT
ejpam-6475	293	19	can	can	AUX
ejpam-6475	293	20	be	be	AUX
ejpam-6475	293	21	modeled	model	VERB
ejpam-6475	293	22	as	as	ADP
ejpam-6475	293	23	a	a	DET
ejpam-6475	293	24	sequence	sequence	NOUN
ejpam-6475	293	25	{	{	PUNCT
ejpam-6475	293	26	vn	vn	AUX
ejpam-6475	293	27	}	}	PUNCT
ejpam-6475	293	28	converging	converge	VERB
ejpam-6475	293	29	to	to	ADP
ejpam-6475	293	30	a	a	DET
ejpam-6475	293	31	”	"	PUNCT
ejpam-6475	293	32	true	true	ADJ
ejpam-6475	293	33	”	"	PUNCT
ejpam-6475	293	34	image	image	NOUN
ejpam-6475	293	35	v.	v.	ADP
ejpam-6475	293	36	the	the	DET
ejpam-6475	293	37	neutrosophic	neutrosophic	ADJ
ejpam-6475	293	38	mrmetric	mrmetric	ADJ
ejpam-6475	293	39	space	space	NOUN
ejpam-6475	293	40	framework	framework	NOUN
ejpam-6475	293	41	provides	provide	VERB
ejpam-6475	293	42	a	a	DET
ejpam-6475	293	43	robust	robust	ADJ
ejpam-6475	293	44	way	way	NOUN
ejpam-6475	293	45	to	to	PART
ejpam-6475	293	46	quantify	quantify	VERB
ejpam-6475	293	47	and	and	CCONJ
ejpam-6475	293	48	manage	manage	VERB
ejpam-6475	293	49	uncertainty	uncertainty	NOUN
ejpam-6475	293	50	during	during	ADP
ejpam-6475	293	51	reconstruction	reconstruction	NOUN
ejpam-6475	293	52	.	.	PUNCT
ejpam-6475	294	1	components	component	NOUN
ejpam-6475	294	2	:	:	PUNCT
ejpam-6475	294	3	•	•	NUM
ejpam-6475	294	4	image	image	NOUN
ejpam-6475	294	5	space	space	NOUN
ejpam-6475	294	6	:	:	PUNCT
ejpam-6475	294	7	let	let	VERB
ejpam-6475	294	8	z	z	PRON
ejpam-6475	294	9	be	be	AUX
ejpam-6475	294	10	a	a	DET
ejpam-6475	294	11	space	space	NOUN
ejpam-6475	294	12	of	of	ADP
ejpam-6475	294	13	2d	2d	NUM
ejpam-6475	294	14	or	or	CCONJ
ejpam-6475	294	15	3d	3d	NUM
ejpam-6475	294	16	images	image	NOUN
ejpam-6475	294	17	(	(	PUNCT
ejpam-6475	294	18	e.g.	e.g.	ADV
ejpam-6475	294	19	,	,	PUNCT
ejpam-6475	294	20	pixel	pixel	PROPN
ejpam-6475	294	21	/	/	SYM
ejpam-6475	294	22	voxel	voxel	PROPN
ejpam-6475	294	23	intensity	intensity	NOUN
ejpam-6475	294	24	matrices	matrix	NOUN
ejpam-6475	294	25	)	)	PUNCT
ejpam-6475	294	26	.	.	PUNCT
ejpam-6475	295	1	•	•	NUM
ejpam-6475	295	2	uncertainty	uncertainty	NOUN
ejpam-6475	295	3	modeling	modeling	NOUN
ejpam-6475	295	4	:	:	PUNCT
ejpam-6475	295	5	–	–	PUNCT
ejpam-6475	295	6	t	t	PROPN
ejpam-6475	295	7	(	(	PUNCT
ejpam-6475	295	8	vn	vn	PROPN
ejpam-6475	295	9	,	,	PUNCT
ejpam-6475	295	10	v	v	NOUN
ejpam-6475	295	11	,	,	PUNCT
ejpam-6475	295	12	γ	γ	NOUN
ejpam-6475	295	13	):	):	PUNCT
ejpam-6475	295	14	confidence	confidence	NOUN
ejpam-6475	295	15	that	that	SCONJ
ejpam-6475	295	16	vn	vn	PROPN
ejpam-6475	295	17	approximates	approximate	VERB
ejpam-6475	295	18	the	the	DET
ejpam-6475	295	19	true	true	ADJ
ejpam-6475	295	20	image	image	NOUN
ejpam-6475	295	21	v.	v.	ADP
ejpam-6475	295	22	–	–	PUNCT
ejpam-6475	295	23	f(vn	f(vn	PROPN
ejpam-6475	295	24	,	,	PUNCT
ejpam-6475	295	25	v	v	NOUN
ejpam-6475	295	26	,	,	PUNCT
ejpam-6475	295	27	γ	γ	NOUN
ejpam-6475	295	28	):	):	PUNCT
ejpam-6475	295	29	artifacts	artifact	NOUN
ejpam-6475	295	30	or	or	CCONJ
ejpam-6475	295	31	noise	noise	NOUN
ejpam-6475	295	32	in	in	ADP
ejpam-6475	295	33	vn	vn	PROPN
ejpam-6475	295	34	relative	relative	ADJ
ejpam-6475	295	35	to	to	ADP
ejpam-6475	295	36	v.	v.	PROPN
ejpam-6475	295	37	–	–	PUNCT
ejpam-6475	295	38	i(vn	i(vn	PROPN
ejpam-6475	295	39	,	,	PUNCT
ejpam-6475	295	40	v	v	NOUN
ejpam-6475	295	41	,	,	PUNCT
ejpam-6475	295	42	γ	γ	NOUN
ejpam-6475	295	43	):	):	PUNCT
ejpam-6475	295	44	optional	optional	ADJ
ejpam-6475	295	45	term	term	NOUN
ejpam-6475	295	46	for	for	ADP
ejpam-6475	295	47	indeterminacy	indeterminacy	NOUN
ejpam-6475	295	48	(	(	PUNCT
ejpam-6475	295	49	e.g.	e.g.	ADV
ejpam-6475	295	50	,	,	PUNCT
ejpam-6475	295	51	missing	miss	VERB
ejpam-6475	295	52	scan	scan	ADJ
ejpam-6475	295	53	regions	region	NOUN
ejpam-6475	295	54	)	)	PUNCT
ejpam-6475	295	55	.	.	PUNCT
ejpam-6475	296	1	•	•	NUM
ejpam-6475	296	2	metric	metric	ADJ
ejpam-6475	296	3	:	:	PUNCT
ejpam-6475	296	4	m(vn	m(vn	NUM
ejpam-6475	296	5	,	,	PUNCT
ejpam-6475	296	6	v	v	NOUN
ejpam-6475	296	7	,	,	PUNCT
ejpam-6475	296	8	v	v	NOUN
ejpam-6475	296	9	)	)	PUNCT
ejpam-6475	296	10	could	could	AUX
ejpam-6475	296	11	be	be	AUX
ejpam-6475	296	12	the	the	DET
ejpam-6475	296	13	maximum	maximum	ADJ
ejpam-6475	296	14	intensity	intensity	NOUN
ejpam-6475	296	15	difference	difference	NOUN
ejpam-6475	296	16	across	across	ADP
ejpam-6475	296	17	pixels	pixel	NOUN
ejpam-6475	296	18	/	/	SYM
ejpam-6475	296	19	voxels	voxel	NOUN
ejpam-6475	296	20	.	.	PUNCT
ejpam-6475	297	1	convergence	convergence	NOUN
ejpam-6475	297	2	in	in	ADP
ejpam-6475	297	3	practice	practice	NOUN
ejpam-6475	297	4	:	:	PUNCT
ejpam-6475	297	5	•	•	NUM
ejpam-6475	297	6	noisy	noisy	ADJ
ejpam-6475	297	7	sequence	sequence	NOUN
ejpam-6475	297	8	:	:	PUNCT
ejpam-6475	297	9	let	let	VERB
ejpam-6475	297	10	{	{	PUNCT
ejpam-6475	297	11	vn	vn	PART
ejpam-6475	297	12	}	}	PUNCT
ejpam-6475	297	13	be	be	AUX
ejpam-6475	297	14	a	a	DET
ejpam-6475	297	15	sequence	sequence	NOUN
ejpam-6475	297	16	of	of	ADP
ejpam-6475	297	17	progressively	progressively	ADV
ejpam-6475	297	18	denoised	denoise	VERB
ejpam-6475	297	19	mri	mri	NOUN
ejpam-6475	297	20	scans	scan	NOUN
ejpam-6475	297	21	.	.	PUNCT
ejpam-6475	298	1	•	•	NUM
ejpam-6475	298	2	truth	truth	NOUN
ejpam-6475	298	3	membership	membership	NOUN
ejpam-6475	298	4	:	:	PUNCT
ejpam-6475	298	5	t	t	PROPN
ejpam-6475	298	6	(	(	PUNCT
ejpam-6475	298	7	vn	vn	PROPN
ejpam-6475	298	8	,	,	PUNCT
ejpam-6475	298	9	v	v	NOUN
ejpam-6475	298	10	,	,	PUNCT
ejpam-6475	298	11	γ	γ	NOUN
ejpam-6475	298	12	)	)	PUNCT
ejpam-6475	298	13	increases	increase	NOUN
ejpam-6475	298	14	as	as	SCONJ
ejpam-6475	298	15	denoising	denoising	NOUN
ejpam-6475	298	16	improves	improve	VERB
ejpam-6475	298	17	.	.	PUNCT
ejpam-6475	299	1	•	•	NUM
ejpam-6475	299	2	falsity	falsity	NOUN
ejpam-6475	299	3	membership	membership	NOUN
ejpam-6475	299	4	:	:	PUNCT
ejpam-6475	299	5	f(vn	f(vn	NOUN
ejpam-6475	299	6	,	,	PUNCT
ejpam-6475	299	7	v	v	NOUN
ejpam-6475	299	8	,	,	PUNCT
ejpam-6475	299	9	γ	γ	NOUN
ejpam-6475	299	10	)	)	PUNCT
ejpam-6475	299	11	decreases	decrease	NOUN
ejpam-6475	299	12	as	as	SCONJ
ejpam-6475	299	13	artifacts	artifact	NOUN
ejpam-6475	299	14	are	be	AUX
ejpam-6475	299	15	removed	remove	VERB
ejpam-6475	299	16	.	.	PUNCT
ejpam-6475	300	1	•	•	NUM
ejpam-6475	300	2	metric	metric	ADJ
ejpam-6475	300	3	:	:	PUNCT
ejpam-6475	300	4	m(vn	m(vn	NUM
ejpam-6475	300	5	,	,	PUNCT
ejpam-6475	300	6	v	v	NOUN
ejpam-6475	300	7	,	,	PUNCT
ejpam-6475	300	8	v	v	NOUN
ejpam-6475	300	9	)	)	PUNCT
ejpam-6475	300	10	→	→	SYM
ejpam-6475	300	11	0	0	NUM
ejpam-6475	300	12	ensures	ensure	VERB
ejpam-6475	300	13	pixel	pixel	ADJ
ejpam-6475	300	14	-	-	ADJ
ejpam-6475	300	15	wise	wise	ADJ
ejpam-6475	300	16	convergence	convergence	NOUN
ejpam-6475	300	17	.	.	PUNCT
ejpam-6475	301	1	algorithmic	algorithmic	ADJ
ejpam-6475	301	2	steps	step	NOUN
ejpam-6475	301	3	:	:	PUNCT
ejpam-6475	301	4	(	(	PUNCT
ejpam-6475	301	5	i	i	NOUN
ejpam-6475	301	6	)	)	PUNCT
ejpam-6475	301	7	initialization	initialization	NOUN
ejpam-6475	301	8	:	:	PUNCT
ejpam-6475	301	9	acquire	acquire	VERB
ejpam-6475	301	10	noisy	noisy	ADJ
ejpam-6475	301	11	images	image	NOUN
ejpam-6475	301	12	{	{	PUNCT
ejpam-6475	301	13	vn	vn	NOUN
ejpam-6475	301	14	}	}	PUNCT
ejpam-6475	301	15	from	from	ADP
ejpam-6475	301	16	scans	scan	NOUN
ejpam-6475	301	17	.	.	PUNCT
ejpam-6475	302	1	(	(	PUNCT
ejpam-6475	302	2	ii	ii	NOUN
ejpam-6475	302	3	)	)	PUNCT
ejpam-6475	302	4	neutrosophic	neutrosophic	ADJ
ejpam-6475	302	5	embedding	embed	VERB
ejpam-6475	302	6	:	:	PUNCT
ejpam-6475	302	7	define	define	VERB
ejpam-6475	302	8	t	t	PROPN
ejpam-6475	302	9	,	,	PUNCT
ejpam-6475	302	10	f	f	PROPN
ejpam-6475	302	11	,	,	PUNCT
ejpam-6475	302	12	and	and	CCONJ
ejpam-6475	302	13	m	m	AUX
ejpam-6475	302	14	based	base	VERB
ejpam-6475	302	15	on	on	ADP
ejpam-6475	302	16	imaging	imaging	NOUN
ejpam-6475	302	17	physics	physics	NOUN
ejpam-6475	302	18	(	(	PUNCT
ejpam-6475	302	19	e.g.	e.g.	ADV
ejpam-6475	302	20	,	,	PUNCT
ejpam-6475	302	21	t	t	NOUN
ejpam-6475	302	22	=	=	SYM
ejpam-6475	302	23	psnr	psnr	NOUN
ejpam-6475	302	24	-	-	PUNCT
ejpam-6475	302	25	based	base	VERB
ejpam-6475	302	26	)	)	PUNCT
ejpam-6475	302	27	.	.	PUNCT
ejpam-6475	303	1	(	(	PUNCT
ejpam-6475	303	2	iii	iii	X
ejpam-6475	303	3	)	)	PUNCT
ejpam-6475	303	4	iterative	iterative	NOUN
ejpam-6475	303	5	reconstruction	reconstruction	NOUN
ejpam-6475	303	6	:	:	PUNCT
ejpam-6475	303	7	apply	apply	VERB
ejpam-6475	303	8	a	a	DET
ejpam-6475	303	9	convergence	convergence	NOUN
ejpam-6475	303	10	-	-	PUNCT
ejpam-6475	303	11	guaranteed	guarantee	VERB
ejpam-6475	303	12	algorithm	algorithm	NOUN
ejpam-6475	303	13	(	(	PUNCT
ejpam-6475	303	14	e.g.	e.g.	ADV
ejpam-6475	303	15	,	,	PUNCT
ejpam-6475	303	16	theorem	theorem	VERB
ejpam-6475	303	17	3	3	NUM
ejpam-6475	303	18	)	)	PUNCT
ejpam-6475	303	19	until	until	ADP
ejpam-6475	303	20	:	:	PUNCT
ejpam-6475	303	21	t	t	PROPN
ejpam-6475	303	22	(	(	PUNCT
ejpam-6475	303	23	vn	vn	PROPN
ejpam-6475	303	24	,	,	PUNCT
ejpam-6475	303	25	v	v	NOUN
ejpam-6475	303	26	,	,	PUNCT
ejpam-6475	303	27	γ	γ	NOUN
ejpam-6475	303	28	)	)	PUNCT
ejpam-6475	303	29	>	>	NOUN
ejpam-6475	303	30	0.95	0.95	NUM
ejpam-6475	303	31	,	,	PUNCT
ejpam-6475	303	32	f(vn	f(vn	PROPN
ejpam-6475	303	33	,	,	PUNCT
ejpam-6475	303	34	v	v	NOUN
ejpam-6475	303	35	,	,	PUNCT
ejpam-6475	303	36	γ	γ	NOUN
ejpam-6475	303	37	)	)	PUNCT
ejpam-6475	303	38	<	<	X
ejpam-6475	303	39	0.05	0.05	NUM
ejpam-6475	303	40	,	,	PUNCT
ejpam-6475	303	41	m(vn	m(vn	NUM
ejpam-6475	303	42	,	,	PUNCT
ejpam-6475	303	43	v	v	NOUN
ejpam-6475	303	44	,	,	PUNCT
ejpam-6475	303	45	v	v	NOUN
ejpam-6475	303	46	)	)	PUNCT
ejpam-6475	303	47	<	<	X
ejpam-6475	303	48	ϵ.	ϵ.	NOUN
ejpam-6475	303	49	(	(	PUNCT
ejpam-6475	303	50	iv	iv	X
ejpam-6475	303	51	)	)	PUNCT
ejpam-6475	303	52	validation	validation	NOUN
ejpam-6475	303	53	:	:	PUNCT
ejpam-6475	303	54	reject	reject	VERB
ejpam-6475	303	55	reconstructions	reconstruction	NOUN
ejpam-6475	303	56	where	where	SCONJ
ejpam-6475	303	57	f	f	NOUN
ejpam-6475	303	58	or	or	CCONJ
ejpam-6475	303	59	i	i	PRON
ejpam-6475	303	60	exceeds	exceed	VERB
ejpam-6475	303	61	thresholds	threshold	NOUN
ejpam-6475	303	62	.	.	PUNCT
ejpam-6475	304	1	advantages	advantage	NOUN
ejpam-6475	304	2	:	:	PUNCT
ejpam-6475	304	3	•	•	NOUN
ejpam-6475	304	4	robustness	robustness	NOUN
ejpam-6475	304	5	:	:	PUNCT
ejpam-6475	304	6	explicit	explicit	ADJ
ejpam-6475	304	7	handling	handling	NOUN
ejpam-6475	304	8	of	of	ADP
ejpam-6475	304	9	noise	noise	NOUN
ejpam-6475	304	10	(	(	PUNCT
ejpam-6475	304	11	f	f	X
ejpam-6475	304	12	)	)	PUNCT
ejpam-6475	304	13	and	and	CCONJ
ejpam-6475	304	14	missing	miss	VERB
ejpam-6475	304	15	data	datum	NOUN
ejpam-6475	304	16	(	(	PUNCT
ejpam-6475	304	17	i	i	NOUN
ejpam-6475	304	18	)	)	PUNCT
ejpam-6475	304	19	.	.	PUNCT
ejpam-6475	305	1	•	•	NUM
ejpam-6475	305	2	theoretical	theoretical	ADJ
ejpam-6475	305	3	guarantees	guarantee	NOUN
ejpam-6475	305	4	:	:	PUNCT
ejpam-6475	305	5	theorem	theorem	VERB
ejpam-6475	305	6	3	3	NUM
ejpam-6475	305	7	ensures	ensure	VERB
ejpam-6475	305	8	convergence	convergence	NOUN
ejpam-6475	305	9	under	under	ADP
ejpam-6475	305	10	uncertainty	uncertainty	NOUN
ejpam-6475	305	11	.	.	PUNCT
ejpam-6475	306	1	•	•	NUM
ejpam-6475	306	2	flexibility	flexibility	NOUN
ejpam-6475	306	3	:	:	PUNCT
ejpam-6475	306	4	adaptable	adaptable	ADJ
ejpam-6475	306	5	to	to	ADP
ejpam-6475	306	6	various	various	ADJ
ejpam-6475	306	7	imaging	imaging	NOUN
ejpam-6475	306	8	modalities	modality	NOUN
ejpam-6475	306	9	(	(	PUNCT
ejpam-6475	306	10	mri	mri	NOUN
ejpam-6475	306	11	,	,	PUNCT
ejpam-6475	306	12	ct	ct	PROPN
ejpam-6475	306	13	,	,	PUNCT
ejpam-6475	306	14	ultrasound	ultrasound	PROPN
ejpam-6475	306	15	)	)	PUNCT
ejpam-6475	306	16	.	.	PUNCT
ejpam-6475	307	1	a.	a.	NOUN
ejpam-6475	307	2	malkawi	malkawi	ADP
ejpam-6475	307	3	/	/	SYM
ejpam-6475	307	4	eur	eur	PROPN
ejpam-6475	307	5	.	.	PUNCT
ejpam-6475	308	1	j.	j.	PROPN
ejpam-6475	308	2	pure	pure	PROPN
ejpam-6475	308	3	appl	appl	PROPN
ejpam-6475	308	4	.	.	PROPN
ejpam-6475	308	5	math	math	PROPN
ejpam-6475	308	6	,	,	PUNCT
ejpam-6475	308	7	18	18	NUM
ejpam-6475	308	8	(	(	PUNCT
ejpam-6475	308	9	3	3	NUM
ejpam-6475	308	10	)	)	PUNCT
ejpam-6475	308	11	(	(	PUNCT
ejpam-6475	308	12	2025	2025	NUM
ejpam-6475	308	13	)	)	PUNCT
ejpam-6475	308	14	,	,	PUNCT
ejpam-6475	308	15	6475	6475	NUM
ejpam-6475	308	16	18	18	NUM
ejpam-6475	308	17	of	of	ADP
ejpam-6475	308	18	20	20	NUM
ejpam-6475	308	19	example	example	NOUN
ejpam-6475	308	20	workflow	workflow	NOUN
ejpam-6475	308	21	:	:	PUNCT
ejpam-6475	308	22	(	(	PUNCT
ejpam-6475	308	23	i	i	NOUN
ejpam-6475	308	24	)	)	PUNCT
ejpam-6475	308	25	a	a	DET
ejpam-6475	308	26	radiologist	radiologist	NOUN
ejpam-6475	308	27	acquires	acquire	VERB
ejpam-6475	308	28	a	a	DET
ejpam-6475	308	29	sequence	sequence	NOUN
ejpam-6475	308	30	of	of	ADP
ejpam-6475	308	31	low	low	ADJ
ejpam-6475	308	32	-	-	PUNCT
ejpam-6475	308	33	resolution	resolution	NOUN
ejpam-6475	308	34	mri	mri	NOUN
ejpam-6475	308	35	scans	scan	NOUN
ejpam-6475	308	36	{	{	PUNCT
ejpam-6475	308	37	vn	vn	NOUN
ejpam-6475	308	38	}	}	PUNCT
ejpam-6475	308	39	.	.	PUNCT
ejpam-6475	309	1	(	(	PUNCT
ejpam-6475	309	2	ii	ii	X
ejpam-6475	309	3	)	)	PUNCT
ejpam-6475	309	4	the	the	DET
ejpam-6475	309	5	system	system	NOUN
ejpam-6475	309	6	computes	compute	VERB
ejpam-6475	309	7	t	t	PROPN
ejpam-6475	309	8	,	,	PUNCT
ejpam-6475	309	9	f	f	PROPN
ejpam-6475	309	10	,	,	PUNCT
ejpam-6475	309	11	and	and	CCONJ
ejpam-6475	309	12	m	m	VERB
ejpam-6475	309	13	for	for	ADP
ejpam-6475	309	14	each	each	DET
ejpam-6475	309	15	vn	vn	NOUN
ejpam-6475	309	16	against	against	ADP
ejpam-6475	309	17	a	a	DET
ejpam-6475	309	18	predicted	predict	VERB
ejpam-6475	309	19	v.	v.	PROPN
ejpam-6475	309	20	(	(	PUNCT
ejpam-6475	309	21	iii	iii	NOUN
ejpam-6475	309	22	)	)	PUNCT
ejpam-6475	309	23	reconstruction	reconstruction	NOUN
ejpam-6475	309	24	stops	stop	VERB
ejpam-6475	309	25	when	when	SCONJ
ejpam-6475	309	26	all	all	DET
ejpam-6475	309	27	three	three	NUM
ejpam-6475	309	28	convergence	convergence	NOUN
ejpam-6475	309	29	conditions	condition	NOUN
ejpam-6475	309	30	are	be	AUX
ejpam-6475	309	31	met	meet	VERB
ejpam-6475	309	32	.	.	PUNCT
ejpam-6475	310	1	(	(	PUNCT
ejpam-6475	310	2	iv	iv	X
ejpam-6475	310	3	)	)	PUNCT
ejpam-6475	310	4	the	the	DET
ejpam-6475	310	5	final	final	ADJ
ejpam-6475	310	6	v	v	NOUN
ejpam-6475	310	7	is	be	AUX
ejpam-6475	310	8	a	a	DET
ejpam-6475	310	9	high	high	ADJ
ejpam-6475	310	10	-	-	PUNCT
ejpam-6475	310	11	fidelity	fidelity	NOUN
ejpam-6475	310	12	image	image	NOUN
ejpam-6475	310	13	with	with	ADP
ejpam-6475	310	14	quantified	quantified	ADJ
ejpam-6475	310	15	uncertainty	uncertainty	NOUN
ejpam-6475	310	16	.	.	PUNCT
ejpam-6475	311	1	summary	summary	NOUN
ejpam-6475	311	2	table	table	NOUN
ejpam-6475	311	3	theorem	theorem	VERB
ejpam-6475	311	4	example	example	NOUN
ejpam-6475	311	5	application	application	NOUN
ejpam-6475	311	6	1	1	NUM
ejpam-6475	311	7	(	(	PUNCT
ejpam-6475	311	8	embedding	embed	VERB
ejpam-6475	311	9	)	)	PUNCT
ejpam-6475	311	10	fuzzy	fuzzy	ADJ
ejpam-6475	311	11	metric	metric	ADJ
ejpam-6475	311	12	→	→	SYM
ejpam-6475	311	13	nmr	nmr	NOUN
ejpam-6475	311	14	-	-	PUNCT
ejpam-6475	311	15	ms	ms	NOUN
ejpam-6475	311	16	data	data	NOUN
ejpam-6475	311	17	classification	classification	NOUN
ejpam-6475	311	18	2	2	NUM
ejpam-6475	311	19	(	(	PUNCT
ejpam-6475	311	20	fixed	fix	VERB
ejpam-6475	311	21	point	point	NOUN
ejpam-6475	311	22	)	)	PUNCT
ejpam-6475	311	23	ψ(υ	ψ(υ	NOUN
ejpam-6475	311	24	)	)	PUNCT
ejpam-6475	312	1	=	=	PRON
ejpam-6475	312	2	υ/2	υ/2	VERB
ejpam-6475	312	3	on	on	ADP
ejpam-6475	312	4	[	[	X
ejpam-6475	312	5	0	0	NUM
ejpam-6475	312	6	,	,	PUNCT
ejpam-6475	312	7	1	1	NUM
ejpam-6475	312	8	]	]	X
ejpam-6475	312	9	robotic	robotic	ADJ
ejpam-6475	312	10	control	control	NOUN
ejpam-6475	312	11	3	3	NUM
ejpam-6475	312	12	(	(	PUNCT
ejpam-6475	312	13	convergence	convergence	NOUN
ejpam-6475	312	14	)	)	PUNCT
ejpam-6475	312	15	vn	vn	NOUN
ejpam-6475	312	16	=	=	SYM
ejpam-6475	312	17	(	(	PUNCT
ejpam-6475	312	18	1	1	NUM
ejpam-6475	312	19	/	/	SYM
ejpam-6475	312	20	n	n	CCONJ
ejpam-6475	312	21	,	,	PUNCT
ejpam-6475	312	22	1	1	NUM
ejpam-6475	312	23	/	/	SYM
ejpam-6475	312	24	n2	n2	NOUN
ejpam-6475	312	25	)	)	PUNCT
ejpam-6475	312	26	in	in	ADP
ejpam-6475	312	27	r2	r2	PROPN
ejpam-6475	312	28	medical	medical	ADJ
ejpam-6475	312	29	imaging	imaging	NOUN
ejpam-6475	312	30	references	reference	NOUN
ejpam-6475	312	31	[	[	X
ejpam-6475	312	32	1	1	NUM
ejpam-6475	312	33	]	]	PUNCT
ejpam-6475	312	34	i.	i.	PROPN
ejpam-6475	312	35	a.	a.	PROPN
ejpam-6475	312	36	bakhtin	bakhtin	PROPN
ejpam-6475	312	37	.	.	PUNCT
ejpam-6475	313	1	the	the	DET
ejpam-6475	313	2	contraction	contraction	NOUN
ejpam-6475	313	3	mapping	map	VERB
ejpam-6475	313	4	principle	principle	NOUN
ejpam-6475	313	5	in	in	ADP
ejpam-6475	313	6	almost	almost	ADV
ejpam-6475	313	7	metric	metric	ADJ
ejpam-6475	313	8	spaces	space	NOUN
ejpam-6475	313	9	.	.	PUNCT
ejpam-6475	314	1	functional	functional	ADJ
ejpam-6475	314	2	analysis	analysis	NOUN
ejpam-6475	314	3	,	,	PUNCT
ejpam-6475	314	4	30:26–37	30:26–37	PROPN
ejpam-6475	314	5	,	,	PUNCT
ejpam-6475	314	6	1989	1989	NUM
ejpam-6475	314	7	.	.	PUNCT
ejpam-6475	315	1	[	[	X
ejpam-6475	315	2	2	2	X
ejpam-6475	315	3	]	]	PUNCT
ejpam-6475	315	4	s.	s.	PROPN
ejpam-6475	315	5	czerwik	czerwik	PROPN
ejpam-6475	315	6	.	.	PUNCT
ejpam-6475	316	1	contraction	contraction	NOUN
ejpam-6475	316	2	mappings	mapping	NOUN
ejpam-6475	316	3	in	in	ADP
ejpam-6475	316	4	b	b	NOUN
ejpam-6475	316	5	-	-	ADJ
ejpam-6475	316	6	metric	metric	ADJ
ejpam-6475	316	7	spaces	space	NOUN
ejpam-6475	316	8	.	.	PUNCT
ejpam-6475	317	1	acta	acta	PROPN
ejpam-6475	317	2	mathematica	mathematica	PROPN
ejpam-6475	317	3	et	et	PROPN
ejpam-6475	317	4	informatica	informatica	PROPN
ejpam-6475	317	5	universitatis	universitatis	PROPN
ejpam-6475	317	6	ostraviensis	ostraviensis	PROPN
ejpam-6475	317	7	,	,	PUNCT
ejpam-6475	317	8	1:5–11	1:5–11	NUM
ejpam-6475	317	9	,	,	PUNCT
ejpam-6475	317	10	1993	1993	NUM
ejpam-6475	317	11	.	.	PUNCT
ejpam-6475	318	1	[	[	X
ejpam-6475	318	2	3	3	X
ejpam-6475	318	3	]	]	X
ejpam-6475	318	4	y.	y.	PROPN
ejpam-6475	318	5	j.	j.	PROPN
ejpam-6475	318	6	cho	cho	PROPN
ejpam-6475	318	7	,	,	PUNCT
ejpam-6475	318	8	p.	p.	NOUN
ejpam-6475	318	9	p.	p.	PROPN
ejpam-6475	319	1	murthy	murthy	ADJ
ejpam-6475	319	2	,	,	PUNCT
ejpam-6475	319	3	and	and	CCONJ
ejpam-6475	319	4	g.	g.	PROPN
ejpam-6475	319	5	jungck	jungck	PROPN
ejpam-6475	319	6	.	.	PUNCT
ejpam-6475	320	1	a	a	DET
ejpam-6475	320	2	common	common	ADJ
ejpam-6475	320	3	fixed	fix	VERB
ejpam-6475	320	4	point	point	NOUN
ejpam-6475	320	5	theorem	theorem	NOUN
ejpam-6475	320	6	of	of	ADP
ejpam-6475	320	7	meir	meir	PROPN
ejpam-6475	320	8	and	and	CCONJ
ejpam-6475	320	9	keeler	keeler	PROPN
ejpam-6475	320	10	type	type	NOUN
ejpam-6475	320	11	.	.	PUNCT
ejpam-6475	321	1	international	international	ADJ
ejpam-6475	321	2	journal	journal	PROPN
ejpam-6475	321	3	of	of	ADP
ejpam-6475	321	4	mathematical	mathematical	ADJ
ejpam-6475	321	5	sciences	science	NOUN
ejpam-6475	321	6	,	,	PUNCT
ejpam-6475	321	7	16:669–674	16:669–674	NUM
ejpam-6475	321	8	,	,	PUNCT
ejpam-6475	321	9	1993	1993	NUM
ejpam-6475	321	10	.	.	PUNCT
ejpam-6475	322	1	[	[	X
ejpam-6475	322	2	4	4	X
ejpam-6475	322	3	]	]	PUNCT
ejpam-6475	322	4	r.	r.	PROPN
ejpam-6475	322	5	o.	o.	PROPN
ejpam-6475	322	6	davies	davies	PROPN
ejpam-6475	322	7	and	and	CCONJ
ejpam-6475	322	8	s.	s.	PROPN
ejpam-6475	322	9	sessa	sessa	PROPN
ejpam-6475	322	10	.	.	PUNCT
ejpam-6475	323	1	a	a	DET
ejpam-6475	323	2	common	common	ADJ
ejpam-6475	323	3	fixed	fix	VERB
ejpam-6475	323	4	point	point	NOUN
ejpam-6475	323	5	theorem	theorem	NOUN
ejpam-6475	323	6	of	of	ADP
ejpam-6475	323	7	gregus	gregus	NOUN
ejpam-6475	323	8	type	type	NOUN
ejpam-6475	323	9	for	for	ADP
ejpam-6475	323	10	compatible	compatible	ADJ
ejpam-6475	323	11	mappings	mapping	NOUN
ejpam-6475	323	12	.	.	PUNCT
ejpam-6475	324	1	facta	facta	PROPN
ejpam-6475	324	2	universitatis	universitatis	PROPN
ejpam-6475	324	3	(	(	PUNCT
ejpam-6475	324	4	nǐs	nǐs	NOUN
ejpam-6475	324	5	)	)	PUNCT
ejpam-6475	324	6	series	series	NOUN
ejpam-6475	324	7	:	:	PUNCT
ejpam-6475	324	8	mathematics	mathematic	NOUN
ejpam-6475	324	9	and	and	CCONJ
ejpam-6475	324	10	informatics	informatic	NOUN
ejpam-6475	324	11	,	,	PUNCT
ejpam-6475	324	12	7:51–58	7:51–58	NOUN
ejpam-6475	324	13	,	,	PUNCT
ejpam-6475	324	14	1992	1992	NUM
ejpam-6475	324	15	.	.	PUNCT
ejpam-6475	325	1	[	[	X
ejpam-6475	325	2	5	5	NUM
ejpam-6475	325	3	]	]	PUNCT
ejpam-6475	325	4	b.	b.	PROPN
ejpam-6475	325	5	c.	c.	PROPN
ejpam-6475	325	6	dhage	dhage	PROPN
ejpam-6475	325	7	.	.	PUNCT
ejpam-6475	326	1	generalized	generalize	VERB
ejpam-6475	326	2	metric	metric	ADJ
ejpam-6475	326	3	spaces	space	NOUN
ejpam-6475	326	4	and	and	CCONJ
ejpam-6475	326	5	mappings	mapping	NOUN
ejpam-6475	326	6	with	with	ADP
ejpam-6475	326	7	fixed	fix	VERB
ejpam-6475	326	8	points	point	NOUN
ejpam-6475	326	9	.	.	PUNCT
ejpam-6475	327	1	bulletin	bulletin	NOUN
ejpam-6475	327	2	of	of	ADP
ejpam-6475	327	3	the	the	DET
ejpam-6475	327	4	calcutta	calcutta	PROPN
ejpam-6475	327	5	mathematical	mathematical	ADJ
ejpam-6475	327	6	society	society	NOUN
ejpam-6475	327	7	,	,	PUNCT
ejpam-6475	327	8	84:329–336	84:329–336	NUM
ejpam-6475	327	9	,	,	PUNCT
ejpam-6475	327	10	1992	1992	NUM
ejpam-6475	327	11	.	.	PUNCT
ejpam-6475	328	1	[	[	X
ejpam-6475	328	2	6	6	NUM
ejpam-6475	328	3	]	]	PUNCT
ejpam-6475	328	4	t.	t.	NOUN
ejpam-6475	328	5	qawasmeh	qawasmeh	NOUN
ejpam-6475	328	6	.	.	PUNCT
ejpam-6475	329	1	(	(	PUNCT
ejpam-6475	329	2	h	h	NOUN
ejpam-6475	329	3	,	,	PUNCT
ejpam-6475	329	4	ωb)-interpolative	ωb)-interpolative	ADJ
ejpam-6475	329	5	contractions	contraction	NOUN
ejpam-6475	329	6	in	in	ADP
ejpam-6475	329	7	ωb	ωb	NOUN
ejpam-6475	329	8	-	-	PUNCT
ejpam-6475	329	9	distance	distance	NOUN
ejpam-6475	329	10	mappings	mapping	NOUN
ejpam-6475	329	11	with	with	ADP
ejpam-6475	329	12	applications	application	NOUN
ejpam-6475	329	13	.	.	PUNCT
ejpam-6475	330	1	european	european	ADJ
ejpam-6475	330	2	journal	journal	PROPN
ejpam-6475	330	3	of	of	ADP
ejpam-6475	330	4	pure	pure	ADJ
ejpam-6475	330	5	and	and	CCONJ
ejpam-6475	330	6	applied	applied	ADJ
ejpam-6475	330	7	mathematics	mathematic	NOUN
ejpam-6475	330	8	,	,	PUNCT
ejpam-6475	330	9	16(3):1717–1730	16(3):1717–1730	NUM
ejpam-6475	330	10	,	,	PUNCT
ejpam-6475	330	11	2023	2023	NUM
ejpam-6475	330	12	.	.	PUNCT
ejpam-6475	331	1	[	[	X
ejpam-6475	331	2	7	7	X
ejpam-6475	331	3	]	]	PUNCT
ejpam-6475	331	4	t.	t.	NOUN
ejpam-6475	331	5	qawasmeh	qawasmeh	NOUN
ejpam-6475	331	6	.	.	PUNCT
ejpam-6475	332	1	h	h	NOUN
ejpam-6475	332	2	-	-	PUNCT
ejpam-6475	332	3	simulation	simulation	NOUN
ejpam-6475	332	4	functions	function	NOUN
ejpam-6475	332	5	and	and	CCONJ
ejpam-6475	332	6	ωb	ωb	NOUN
ejpam-6475	332	7	-	-	PUNCT
ejpam-6475	332	8	distance	distance	NOUN
ejpam-6475	332	9	mappings	mapping	NOUN
ejpam-6475	332	10	in	in	ADP
ejpam-6475	332	11	the	the	DET
ejpam-6475	332	12	setting	setting	NOUN
ejpam-6475	332	13	of	of	ADP
ejpam-6475	332	14	gb	gb	ADV
ejpam-6475	332	15	-	-	PUNCT
ejpam-6475	332	16	metric	metric	ADJ
ejpam-6475	332	17	spaces	space	NOUN
ejpam-6475	332	18	and	and	CCONJ
ejpam-6475	332	19	application	application	NOUN
ejpam-6475	332	20	.	.	PUNCT
ejpam-6475	333	1	nonlinear	nonlinear	ADJ
ejpam-6475	333	2	functional	functional	ADJ
ejpam-6475	333	3	analysis	analysis	NOUN
ejpam-6475	333	4	and	and	CCONJ
ejpam-6475	333	5	applications	application	NOUN
ejpam-6475	333	6	,	,	PUNCT
ejpam-6475	333	7	28(2):557–570	28(2):557–570	NOUN
ejpam-6475	333	8	,	,	PUNCT
ejpam-6475	333	9	2023	2023	NUM
ejpam-6475	333	10	.	.	PUNCT
ejpam-6475	334	1	[	[	X
ejpam-6475	334	2	8	8	NUM
ejpam-6475	334	3	]	]	PUNCT
ejpam-6475	334	4	a.	a.	NOUN
ejpam-6475	334	5	bataihah	bataihah	PROPN
ejpam-6475	334	6	and	and	CCONJ
ejpam-6475	334	7	t.	t.	NOUN
ejpam-6475	334	8	qawasmeh	qawasmeh	NOUN
ejpam-6475	334	9	.	.	PUNCT
ejpam-6475	335	1	a	a	DET
ejpam-6475	335	2	new	new	ADJ
ejpam-6475	335	3	type	type	NOUN
ejpam-6475	335	4	of	of	ADP
ejpam-6475	335	5	distance	distance	NOUN
ejpam-6475	335	6	spaces	space	NOUN
ejpam-6475	335	7	and	and	CCONJ
ejpam-6475	335	8	fixed	fix	VERB
ejpam-6475	335	9	point	point	NOUN
ejpam-6475	335	10	results	result	NOUN
ejpam-6475	335	11	.	.	PUNCT
ejpam-6475	336	1	journal	journal	NOUN
ejpam-6475	336	2	of	of	ADP
ejpam-6475	336	3	mathematical	mathematical	ADJ
ejpam-6475	336	4	analysis	analysis	NOUN
ejpam-6475	336	5	,	,	PUNCT
ejpam-6475	336	6	15(4):81–90	15(4):81–90	NUM
ejpam-6475	336	7	,	,	PUNCT
ejpam-6475	336	8	2024	2024	NUM
ejpam-6475	336	9	.	.	PUNCT
ejpam-6475	337	1	[	[	X
ejpam-6475	337	2	9	9	NUM
ejpam-6475	337	3	]	]	X
ejpam-6475	337	4	w.	w.	PROPN
ejpam-6475	337	5	shatanawi	shatanawi	PROPN
ejpam-6475	337	6	,	,	PUNCT
ejpam-6475	337	7	t.	t.	NOUN
ejpam-6475	337	8	qawasmeh	qawasmeh	NOUN
ejpam-6475	337	9	,	,	PUNCT
ejpam-6475	337	10	a.	a.	NOUN
ejpam-6475	337	11	bataihah	bataihah	PROPN
ejpam-6475	337	12	,	,	PUNCT
ejpam-6475	337	13	and	and	CCONJ
ejpam-6475	337	14	a.	a.	NOUN
ejpam-6475	337	15	tallafha	tallafha	NOUN
ejpam-6475	337	16	.	.	PUNCT
ejpam-6475	338	1	new	new	ADJ
ejpam-6475	338	2	contractions	contraction	NOUN
ejpam-6475	338	3	and	and	CCONJ
ejpam-6475	338	4	some	some	DET
ejpam-6475	338	5	fixed	fix	VERB
ejpam-6475	338	6	point	point	NOUN
ejpam-6475	338	7	results	result	NOUN
ejpam-6475	338	8	with	with	ADP
ejpam-6475	338	9	application	application	NOUN
ejpam-6475	338	10	based	base	VERB
ejpam-6475	338	11	on	on	ADP
ejpam-6475	338	12	extended	extended	ADJ
ejpam-6475	338	13	quasi	quasi	ADJ
ejpam-6475	338	14	b	b	NOUN
ejpam-6475	338	15	-	-	ADJ
ejpam-6475	338	16	metric	metric	ADJ
ejpam-6475	338	17	spaces	space	NOUN
ejpam-6475	338	18	.	.	PUNCT
ejpam-6475	339	1	u.p.b	u.p.b	ADJ
ejpam-6475	339	2	.	.	PUNCT
ejpam-6475	340	1	scientific	scientific	ADJ
ejpam-6475	340	2	bulletin	bulletin	NOUN
ejpam-6475	340	3	,	,	PUNCT
ejpam-6475	340	4	series	series	PROPN
ejpam-6475	340	5	a	a	PROPN
ejpam-6475	340	6	,	,	PUNCT
ejpam-6475	340	7	83(2):1223–7027	83(2):1223–7027	NUM
ejpam-6475	340	8	,	,	PUNCT
ejpam-6475	340	9	2021	2021	NUM
ejpam-6475	340	10	.	.	PUNCT
ejpam-6475	341	1	[	[	X
ejpam-6475	341	2	10	10	NUM
ejpam-6475	341	3	]	]	PUNCT
ejpam-6475	341	4	t.	t.	NOUN
ejpam-6475	341	5	qawasmeh	qawasmeh	NOUN
ejpam-6475	341	6	,	,	PUNCT
ejpam-6475	341	7	w.	w.	PROPN
ejpam-6475	341	8	shatanawi	shatanawi	PROPN
ejpam-6475	341	9	,	,	PUNCT
ejpam-6475	341	10	a.	a.	NOUN
ejpam-6475	341	11	bataihah	bataihah	PROPN
ejpam-6475	341	12	,	,	PUNCT
ejpam-6475	341	13	and	and	CCONJ
ejpam-6475	341	14	a.	a.	NOUN
ejpam-6475	341	15	tallafha	tallafha	NOUN
ejpam-6475	341	16	.	.	PUNCT
ejpam-6475	342	1	fixed	fix	VERB
ejpam-6475	342	2	point	point	NOUN
ejpam-6475	342	3	results	result	NOUN
ejpam-6475	342	4	and	and	CCONJ
ejpam-6475	342	5	(	(	PUNCT
ejpam-6475	342	6	α	α	NOUN
ejpam-6475	342	7	,	,	PUNCT
ejpam-6475	342	8	β)-triangular	β)-triangular	ADJ
ejpam-6475	342	9	admissibility	admissibility	NOUN
ejpam-6475	342	10	in	in	ADP
ejpam-6475	342	11	the	the	DET
ejpam-6475	342	12	frame	frame	NOUN
ejpam-6475	342	13	of	of	ADP
ejpam-6475	342	14	complete	complete	ADJ
ejpam-6475	342	15	extended	extended	ADJ
ejpam-6475	342	16	b	b	NOUN
ejpam-6475	342	17	-	-	PUNCT
ejpam-6475	342	18	metric	metric	ADJ
ejpam-6475	342	19	spaces	space	NOUN
ejpam-6475	342	20	and	and	CCONJ
ejpam-6475	342	21	application	application	NOUN
ejpam-6475	342	22	.	.	PUNCT
ejpam-6475	343	1	u.p.b	u.p.b	PROPN
ejpam-6475	343	2	.	.	PUNCT
ejpam-6475	344	1	scientific	scientific	ADJ
ejpam-6475	344	2	bulletin	bulletin	NOUN
ejpam-6475	344	3	,	,	PUNCT
ejpam-6475	344	4	series	series	PROPN
ejpam-6475	344	5	a	a	PROPN
ejpam-6475	344	6	,	,	PUNCT
ejpam-6475	344	7	83(1):113–124	83(1):113–124	PROPN
ejpam-6475	344	8	,	,	PUNCT
ejpam-6475	344	9	2021	2021	NUM
ejpam-6475	344	10	.	.	PUNCT
ejpam-6475	345	1	[	[	X
ejpam-6475	345	2	11	11	NUM
ejpam-6475	345	3	]	]	PUNCT
ejpam-6475	345	4	a.	a.	NOUN
ejpam-6475	345	5	bataihah	bataihah	PROPN
ejpam-6475	345	6	,	,	PUNCT
ejpam-6475	345	7	w.	w.	PROPN
ejpam-6475	345	8	shatanawi	shatanawi	PROPN
ejpam-6475	345	9	,	,	PUNCT
ejpam-6475	345	10	and	and	CCONJ
ejpam-6475	345	11	a.	a.	NOUN
ejpam-6475	345	12	tallafha	tallafha	NOUN
ejpam-6475	345	13	.	.	PUNCT
ejpam-6475	346	1	fixed	fix	VERB
ejpam-6475	346	2	point	point	NOUN
ejpam-6475	346	3	results	result	NOUN
ejpam-6475	346	4	with	with	ADP
ejpam-6475	346	5	simulation	simulation	NOUN
ejpam-6475	346	6	functions	function	NOUN
ejpam-6475	346	7	.	.	PUNCT
ejpam-6475	347	1	nonlinear	nonlinear	ADJ
ejpam-6475	347	2	functional	functional	ADJ
ejpam-6475	347	3	analysis	analysis	NOUN
ejpam-6475	347	4	and	and	CCONJ
ejpam-6475	347	5	applications	application	NOUN
ejpam-6475	347	6	,	,	PUNCT
ejpam-6475	347	7	25(1):13–23	25(1):13–23	NUM
ejpam-6475	347	8	,	,	PUNCT
ejpam-6475	347	9	2020	2020	NUM
ejpam-6475	347	10	.	.	PUNCT
ejpam-6475	348	1	a.	a.	NOUN
ejpam-6475	348	2	malkawi	malkawi	ADP
ejpam-6475	348	3	/	/	SYM
ejpam-6475	348	4	eur	eur	PROPN
ejpam-6475	348	5	.	.	PUNCT
ejpam-6475	349	1	j.	j.	PROPN
ejpam-6475	349	2	pure	pure	PROPN
ejpam-6475	349	3	appl	appl	PROPN
ejpam-6475	349	4	.	.	PROPN
ejpam-6475	349	5	math	math	PROPN
ejpam-6475	349	6	,	,	PUNCT
ejpam-6475	349	7	18	18	NUM
ejpam-6475	349	8	(	(	PUNCT
ejpam-6475	349	9	3	3	NUM
ejpam-6475	349	10	)	)	PUNCT
ejpam-6475	349	11	(	(	PUNCT
ejpam-6475	349	12	2025	2025	NUM
ejpam-6475	349	13	)	)	PUNCT
ejpam-6475	349	14	,	,	PUNCT
ejpam-6475	349	15	6475	6475	NUM
ejpam-6475	349	16	19	19	NUM
ejpam-6475	349	17	of	of	ADP
ejpam-6475	349	18	20	20	NUM
ejpam-6475	350	1	[	[	SYM
ejpam-6475	350	2	12	12	NUM
ejpam-6475	350	3	]	]	PUNCT
ejpam-6475	350	4	k.	k.	PROPN
ejpam-6475	350	5	abodayeh	abodayeh	PROPN
ejpam-6475	350	6	,	,	PUNCT
ejpam-6475	350	7	w.	w.	PROPN
ejpam-6475	350	8	shatanawi	shatanawi	PROPN
ejpam-6475	350	9	,	,	PUNCT
ejpam-6475	350	10	a.	a.	NOUN
ejpam-6475	350	11	bataihah	bataihah	PROPN
ejpam-6475	350	12	,	,	PUNCT
ejpam-6475	350	13	and	and	CCONJ
ejpam-6475	350	14	a.	a.	PROPN
ejpam-6475	350	15	h.	h.	PROPN
ejpam-6475	350	16	ansari	ansari	PROPN
ejpam-6475	350	17	.	.	PUNCT
ejpam-6475	351	1	some	some	DET
ejpam-6475	351	2	fixed	fix	VERB
ejpam-6475	351	3	point	point	NOUN
ejpam-6475	351	4	and	and	CCONJ
ejpam-6475	351	5	common	common	ADJ
ejpam-6475	351	6	fixed	fix	VERB
ejpam-6475	351	7	point	point	NOUN
ejpam-6475	351	8	results	result	NOUN
ejpam-6475	351	9	through	through	ADP
ejpam-6475	351	10	ω	ω	NOUN
ejpam-6475	351	11	-	-	PUNCT
ejpam-6475	351	12	distance	distance	NOUN
ejpam-6475	351	13	under	under	ADP
ejpam-6475	351	14	nonlinear	nonlinear	ADJ
ejpam-6475	351	15	contractions	contraction	NOUN
ejpam-6475	351	16	.	.	PUNCT
ejpam-6475	352	1	gazi	gazi	PROPN
ejpam-6475	352	2	university	university	PROPN
ejpam-6475	352	3	journal	journal	PROPN
ejpam-6475	352	4	of	of	ADP
ejpam-6475	352	5	science	science	NOUN
ejpam-6475	352	6	,	,	PUNCT
ejpam-6475	352	7	30(1):293–302	30(1):293–302	NOUN
ejpam-6475	352	8	,	,	PUNCT
ejpam-6475	352	9	2017	2017	NUM
ejpam-6475	352	10	.	.	PUNCT
ejpam-6475	353	1	[	[	X
ejpam-6475	353	2	13	13	NUM
ejpam-6475	353	3	]	]	PUNCT
ejpam-6475	353	4	a.	a.	NOUN
ejpam-6475	353	5	bataihah	bataihah	PROPN
ejpam-6475	353	6	,	,	PUNCT
ejpam-6475	353	7	a.	a.	NOUN
ejpam-6475	353	8	tallafha	tallafha	NOUN
ejpam-6475	353	9	,	,	PUNCT
ejpam-6475	353	10	and	and	CCONJ
ejpam-6475	353	11	w.	w.	PROPN
ejpam-6475	353	12	shatanawi	shatanawi	PROPN
ejpam-6475	353	13	.	.	PUNCT
ejpam-6475	354	1	fixed	fix	VERB
ejpam-6475	354	2	point	point	NOUN
ejpam-6475	354	3	results	result	NOUN
ejpam-6475	354	4	with	with	ADP
ejpam-6475	354	5	ω	ω	NOUN
ejpam-6475	354	6	-	-	PUNCT
ejpam-6475	354	7	distance	distance	NOUN
ejpam-6475	354	8	by	by	ADP
ejpam-6475	354	9	utilizing	utilize	VERB
ejpam-6475	354	10	simulation	simulation	NOUN
ejpam-6475	354	11	functions	function	NOUN
ejpam-6475	354	12	.	.	PUNCT
ejpam-6475	355	1	italian	italian	ADJ
ejpam-6475	355	2	journal	journal	NOUN
ejpam-6475	355	3	of	of	ADP
ejpam-6475	355	4	pure	pure	ADJ
ejpam-6475	355	5	and	and	CCONJ
ejpam-6475	355	6	applied	applied	ADJ
ejpam-6475	355	7	mathematics	mathematic	NOUN
ejpam-6475	355	8	,	,	PUNCT
ejpam-6475	355	9	(	(	PUNCT
ejpam-6475	355	10	43):185–196	43):185–196	NOUN
ejpam-6475	355	11	,	,	PUNCT
ejpam-6475	355	12	2017	2017	NUM
ejpam-6475	355	13	.	.	PUNCT
ejpam-6475	356	1	[	[	X
ejpam-6475	356	2	14	14	NUM
ejpam-6475	356	3	]	]	X
ejpam-6475	356	4	k.	k.	PROPN
ejpam-6475	356	5	abodayeh	abodayeh	PROPN
ejpam-6475	356	6	,	,	PUNCT
ejpam-6475	356	7	a.	a.	PROPN
ejpam-6475	356	8	bataihah	bataihah	PROPN
ejpam-6475	356	9	,	,	PUNCT
ejpam-6475	356	10	and	and	CCONJ
ejpam-6475	356	11	w.	w.	PROPN
ejpam-6475	356	12	shatanawi	shatanawi	PROPN
ejpam-6475	356	13	.	.	PUNCT
ejpam-6475	357	1	generalized	generalize	VERB
ejpam-6475	357	2	ω	ω	NUM
ejpam-6475	357	3	-	-	PUNCT
ejpam-6475	357	4	distance	distance	NOUN
ejpam-6475	357	5	mappings	mapping	NOUN
ejpam-6475	357	6	and	and	CCONJ
ejpam-6475	357	7	some	some	DET
ejpam-6475	357	8	fixed	fix	VERB
ejpam-6475	357	9	point	point	NOUN
ejpam-6475	357	10	theorems	theorem	NOUN
ejpam-6475	357	11	.	.	PUNCT
ejpam-6475	358	1	u.p.b	u.p.b	PROPN
ejpam-6475	358	2	.	.	PUNCT
ejpam-6475	359	1	scientific	scientific	ADJ
ejpam-6475	359	2	bulletin	bulletin	NOUN
ejpam-6475	359	3	,	,	PUNCT
ejpam-6475	359	4	series	series	PROPN
ejpam-6475	359	5	a	a	PROPN
ejpam-6475	359	6	,	,	PUNCT
ejpam-6475	359	7	79:223–232	79:223–232	PROPN
ejpam-6475	359	8	,	,	PUNCT
ejpam-6475	359	9	2017	2017	NUM
ejpam-6475	359	10	.	.	PUNCT
ejpam-6475	360	1	[	[	X
ejpam-6475	360	2	15	15	X
ejpam-6475	360	3	]	]	PUNCT
ejpam-6475	360	4	t.	t.	NOUN
ejpam-6475	360	5	qawasmeh	qawasmeh	NOUN
ejpam-6475	360	6	,	,	PUNCT
ejpam-6475	360	7	w.	w.	PROPN
ejpam-6475	360	8	shatanawi	shatanawi	PROPN
ejpam-6475	360	9	,	,	PUNCT
ejpam-6475	360	10	and	and	CCONJ
ejpam-6475	360	11	a.	a.	NOUN
ejpam-6475	360	12	bataihah	bataihah	PROPN
ejpam-6475	360	13	.	.	PUNCT
ejpam-6475	361	1	common	common	ADJ
ejpam-6475	361	2	fixed	fix	VERB
ejpam-6475	361	3	point	point	NOUN
ejpam-6475	361	4	results	result	NOUN
ejpam-6475	361	5	for	for	ADP
ejpam-6475	361	6	rational	rational	ADJ
ejpam-6475	361	7	(	(	PUNCT
ejpam-6475	361	8	α	α	NOUN
ejpam-6475	361	9	,	,	PUNCT
ejpam-6475	361	10	β)ϕ-mω	β)ϕ-mω	NOUN
ejpam-6475	361	11	contractions	contraction	NOUN
ejpam-6475	361	12	in	in	ADP
ejpam-6475	361	13	complete	complete	ADJ
ejpam-6475	361	14	quasi	quasi	ADJ
ejpam-6475	361	15	metric	metric	ADJ
ejpam-6475	361	16	spaces	space	NOUN
ejpam-6475	361	17	.	.	PUNCT
ejpam-6475	362	1	mathematics	mathematic	NOUN
ejpam-6475	362	2	,	,	PUNCT
ejpam-6475	362	3	7(5):392	7(5):392	NUM
ejpam-6475	362	4	,	,	PUNCT
ejpam-6475	362	5	2017	2017	NUM
ejpam-6475	362	6	.	.	PUNCT
ejpam-6475	363	1	[	[	X
ejpam-6475	363	2	16	16	NUM
ejpam-6475	363	3	]	]	PUNCT
ejpam-6475	363	4	a.	a.	NOUN
ejpam-6475	363	5	rabaiah	rabaiah	PROPN
ejpam-6475	363	6	,	,	PUNCT
ejpam-6475	363	7	a.	a.	NOUN
ejpam-6475	363	8	tallafha	tallafha	NOUN
ejpam-6475	363	9	,	,	PUNCT
ejpam-6475	363	10	and	and	CCONJ
ejpam-6475	363	11	w.	w.	PROPN
ejpam-6475	363	12	shatanawi	shatanawi	PROPN
ejpam-6475	363	13	.	.	PUNCT
ejpam-6475	364	1	common	common	ADJ
ejpam-6475	364	2	fixed	fix	VERB
ejpam-6475	364	3	point	point	NOUN
ejpam-6475	364	4	results	result	NOUN
ejpam-6475	364	5	for	for	ADP
ejpam-6475	364	6	mappings	mapping	NOUN
ejpam-6475	364	7	under	under	ADP
ejpam-6475	364	8	nonlinear	nonlinear	ADJ
ejpam-6475	364	9	contraction	contraction	NOUN
ejpam-6475	364	10	of	of	ADP
ejpam-6475	364	11	cyclic	cyclic	ADJ
ejpam-6475	364	12	form	form	NOUN
ejpam-6475	364	13	in	in	ADP
ejpam-6475	364	14	b	b	NOUN
ejpam-6475	364	15	-	-	ADJ
ejpam-6475	364	16	metric	metric	ADJ
ejpam-6475	364	17	spaces	space	NOUN
ejpam-6475	364	18	.	.	PUNCT
ejpam-6475	365	1	advances	advance	NOUN
ejpam-6475	365	2	in	in	ADP
ejpam-6475	365	3	mathematics	mathematics	NOUN
ejpam-6475	365	4	scientific	scientific	ADJ
ejpam-6475	365	5	journal	journal	NOUN
ejpam-6475	365	6	,	,	PUNCT
ejpam-6475	365	7	26(2):289–301	26(2):289–301	PROPN
ejpam-6475	365	8	,	,	PUNCT
ejpam-6475	365	9	2021	2021	NUM
ejpam-6475	365	10	.	.	PUNCT
ejpam-6475	366	1	[	[	X
ejpam-6475	366	2	17	17	NUM
ejpam-6475	366	3	]	]	X
ejpam-6475	366	4	i.	i.	PROPN
ejpam-6475	366	5	abu	abu	PROPN
ejpam-6475	366	6	-	-	PUNCT
ejpam-6475	366	7	irwaq	irwaq	PROPN
ejpam-6475	366	8	,	,	PUNCT
ejpam-6475	366	9	w.	w.	PROPN
ejpam-6475	366	10	shatanawi	shatanawi	PROPN
ejpam-6475	366	11	,	,	PUNCT
ejpam-6475	366	12	a.	a.	NOUN
ejpam-6475	366	13	bataihah	bataihah	PROPN
ejpam-6475	366	14	,	,	PUNCT
ejpam-6475	366	15	and	and	CCONJ
ejpam-6475	366	16	nuseir	nuseir	NOUN
ejpam-6475	366	17	.	.	PUNCT
ejpam-6475	367	1	fixed	fix	VERB
ejpam-6475	367	2	point	point	NOUN
ejpam-6475	367	3	results	result	NOUN
ejpam-6475	367	4	for	for	ADP
ejpam-6475	367	5	nonlinear	nonlinear	ADJ
ejpam-6475	367	6	contractions	contraction	NOUN
ejpam-6475	367	7	with	with	ADP
ejpam-6475	367	8	generalized	generalized	ADJ
ejpam-6475	367	9	-distance	-distance	NOUN
ejpam-6475	367	10	mappings	mapping	NOUN
ejpam-6475	367	11	.	.	PUNCT
ejpam-6475	368	1	u.p.b	u.p.b	ADJ
ejpam-6475	368	2	.	.	PUNCT
ejpam-6475	369	1	scientific	scientific	ADJ
ejpam-6475	369	2	bulletin	bulletin	NOUN
ejpam-6475	369	3	,	,	PUNCT
ejpam-6475	369	4	series	series	NOUN
ejpam-6475	369	5	a	a	NOUN
ejpam-6475	369	6	,	,	PUNCT
ejpam-6475	369	7	81(1):57–64	81(1):57–64	NUM
ejpam-6475	369	8	,	,	PUNCT
ejpam-6475	369	9	2019	2019	NUM
ejpam-6475	369	10	.	.	PUNCT
ejpam-6475	370	1	[	[	X
ejpam-6475	370	2	18	18	NUM
ejpam-6475	370	3	]	]	PUNCT
ejpam-6475	370	4	i.	i.	NOUN
ejpam-6475	370	5	kramosil	kramosil	PROPN
ejpam-6475	370	6	and	and	CCONJ
ejpam-6475	370	7	j.	j.	PROPN
ejpam-6475	370	8	michalek	michalek	PROPN
ejpam-6475	370	9	.	.	PUNCT
ejpam-6475	371	1	fuzzy	fuzzy	ADJ
ejpam-6475	371	2	metrics	metric	NOUN
ejpam-6475	371	3	and	and	CCONJ
ejpam-6475	371	4	statistical	statistical	ADJ
ejpam-6475	371	5	metric	metric	ADJ
ejpam-6475	371	6	spaces	space	NOUN
ejpam-6475	371	7	.	.	PUNCT
ejpam-6475	372	1	kybernetika	kybernetika	PROPN
ejpam-6475	372	2	,	,	PUNCT
ejpam-6475	372	3	11(5):336–344	11(5):336–344	PROPN
ejpam-6475	372	4	,	,	PUNCT
ejpam-6475	372	5	1975	1975	NUM
ejpam-6475	372	6	.	.	PUNCT
ejpam-6475	373	1	[	[	X
ejpam-6475	373	2	19	19	NUM
ejpam-6475	373	3	]	]	X
ejpam-6475	373	4	a.	a.	NOUN
ejpam-6475	373	5	malkawi	malkawi	PROPN
ejpam-6475	373	6	,	,	PUNCT
ejpam-6475	373	7	a.	a.	PROPN
ejpam-6475	373	8	rabaiah	rabaiah	PROPN
ejpam-6475	373	9	,	,	PUNCT
ejpam-6475	373	10	w.	w.	PROPN
ejpam-6475	373	11	shatanawi	shatanawi	PROPN
ejpam-6475	373	12	,	,	PUNCT
ejpam-6475	373	13	and	and	CCONJ
ejpam-6475	373	14	a.	a.	NOUN
ejpam-6475	373	15	talafhah	talafhah	PROPN
ejpam-6475	373	16	.	.	PUNCT
ejpam-6475	374	1	mr	mr	PROPN
ejpam-6475	374	2	-	-	PUNCT
ejpam-6475	374	3	metric	metric	ADJ
ejpam-6475	374	4	spaces	space	NOUN
ejpam-6475	374	5	and	and	CCONJ
ejpam-6475	374	6	an	an	DET
ejpam-6475	374	7	application	application	NOUN
ejpam-6475	374	8	.	.	PUNCT
ejpam-6475	375	1	preprint	preprint	NOUN
ejpam-6475	375	2	,	,	PUNCT
ejpam-6475	375	3	2021	2021	NUM
ejpam-6475	375	4	.	.	PUNCT
ejpam-6475	376	1	[	[	X
ejpam-6475	376	2	20	20	NUM
ejpam-6475	376	3	]	]	PUNCT
ejpam-6475	376	4	a.	a.	NOUN
ejpam-6475	376	5	a.	a.	PROPN
ejpam-6475	376	6	r.	r.	PROPN
ejpam-6475	376	7	m.	m.	PROPN
ejpam-6475	376	8	malkawi	malkawi	PROPN
ejpam-6475	376	9	.	.	PROPN
ejpam-6475	376	10	existence	existence	NOUN
ejpam-6475	376	11	and	and	CCONJ
ejpam-6475	376	12	uniqueness	uniqueness	NOUN
ejpam-6475	376	13	of	of	ADP
ejpam-6475	376	14	fixed	fix	VERB
ejpam-6475	376	15	points	point	NOUN
ejpam-6475	376	16	in	in	ADP
ejpam-6475	376	17	mr	mr	PROPN
ejpam-6475	376	18	-	-	PUNCT
ejpam-6475	376	19	metric	metric	ADJ
ejpam-6475	376	20	spaces	space	NOUN
ejpam-6475	376	21	and	and	CCONJ
ejpam-6475	376	22	their	their	PRON
ejpam-6475	376	23	applications	application	NOUN
ejpam-6475	376	24	.	.	PUNCT
ejpam-6475	377	1	european	european	ADJ
ejpam-6475	377	2	journal	journal	PROPN
ejpam-6475	377	3	of	of	ADP
ejpam-6475	377	4	pure	pure	ADJ
ejpam-6475	377	5	and	and	CCONJ
ejpam-6475	377	6	applied	applied	ADJ
ejpam-6475	377	7	mathematics	mathematic	NOUN
ejpam-6475	377	8	,	,	PUNCT
ejpam-6475	377	9	18(2):6077	18(2):6077	NUM
ejpam-6475	377	10	,	,	PUNCT
ejpam-6475	377	11	2025	2025	NUM
ejpam-6475	377	12	.	.	PUNCT
ejpam-6475	378	1	[	[	X
ejpam-6475	378	2	21	21	NUM
ejpam-6475	378	3	]	]	PUNCT
ejpam-6475	378	4	a.	a.	NOUN
ejpam-6475	378	5	a.	a.	PROPN
ejpam-6475	378	6	r.	r.	PROPN
ejpam-6475	378	7	m.	m.	PROPN
ejpam-6475	378	8	malkawi	malkawi	PROPN
ejpam-6475	378	9	.	.	PROPN
ejpam-6475	379	1	convergence	convergence	NOUN
ejpam-6475	379	2	and	and	CCONJ
ejpam-6475	379	3	fixed	fix	VERB
ejpam-6475	379	4	points	point	NOUN
ejpam-6475	379	5	of	of	ADP
ejpam-6475	379	6	self	self	NOUN
ejpam-6475	379	7	-	-	PUNCT
ejpam-6475	379	8	mappings	mapping	NOUN
ejpam-6475	379	9	in	in	ADP
ejpam-6475	379	10	mr	mr	PROPN
ejpam-6475	379	11	-	-	PUNCT
ejpam-6475	379	12	metric	metric	ADJ
ejpam-6475	379	13	spaces	space	NOUN
ejpam-6475	379	14	:	:	PUNCT
ejpam-6475	379	15	theory	theory	NOUN
ejpam-6475	379	16	and	and	CCONJ
ejpam-6475	379	17	applications	application	NOUN
ejpam-6475	379	18	.	.	PUNCT
ejpam-6475	380	1	european	european	ADJ
ejpam-6475	380	2	journal	journal	PROPN
ejpam-6475	380	3	of	of	ADP
ejpam-6475	380	4	pure	pure	ADJ
ejpam-6475	380	5	and	and	CCONJ
ejpam-6475	380	6	applied	applied	ADJ
ejpam-6475	380	7	mathematics	mathematic	NOUN
ejpam-6475	380	8	,	,	PUNCT
ejpam-6475	380	9	18(2):5952	18(2):5952	NUM
ejpam-6475	380	10	,	,	PUNCT
ejpam-6475	380	11	2025	2025	NUM
ejpam-6475	380	12	.	.	PUNCT
ejpam-6475	381	1	[	[	X
ejpam-6475	381	2	22	22	NUM
ejpam-6475	381	3	]	]	PUNCT
ejpam-6475	381	4	a.	a.	NOUN
ejpam-6475	381	5	a.	a.	PROPN
ejpam-6475	381	6	r.	r.	PROPN
ejpam-6475	381	7	m.	m.	PROPN
ejpam-6475	381	8	malkawi	malkawi	PROPN
ejpam-6475	381	9	.	.	PUNCT
ejpam-6475	381	10	fixed	fix	VERB
ejpam-6475	381	11	point	point	NOUN
ejpam-6475	381	12	theorem	theorem	VERB
ejpam-6475	381	13	in	in	ADP
ejpam-6475	381	14	mr	mr	PROPN
ejpam-6475	381	15	-	-	PUNCT
ejpam-6475	381	16	metric	metric	ADJ
ejpam-6475	381	17	spaces	space	NOUN
ejpam-6475	381	18	via	via	ADP
ejpam-6475	381	19	integral	integral	ADJ
ejpam-6475	381	20	type	type	NOUN
ejpam-6475	381	21	contraction	contraction	NOUN
ejpam-6475	381	22	.	.	PUNCT
ejpam-6475	382	1	european	european	ADJ
ejpam-6475	382	2	journal	journal	PROPN
ejpam-6475	382	3	of	of	ADP
ejpam-6475	382	4	pure	pure	ADJ
ejpam-6475	382	5	and	and	CCONJ
ejpam-6475	382	6	applied	applied	ADJ
ejpam-6475	382	7	mathematics	mathematic	NOUN
ejpam-6475	382	8	,	,	PUNCT
ejpam-6475	382	9	24:295–299	24:295–299	PROPN
ejpam-6475	382	10	,	,	PUNCT
ejpam-6475	382	11	2025	2025	NUM
ejpam-6475	382	12	.	.	PUNCT
ejpam-6475	383	1	[	[	X
ejpam-6475	383	2	23	23	NUM
ejpam-6475	383	3	]	]	PUNCT
ejpam-6475	383	4	a.	a.	NOUN
ejpam-6475	383	5	a.	a.	PROPN
ejpam-6475	383	6	r.	r.	PROPN
ejpam-6475	383	7	m.	m.	PROPN
ejpam-6475	383	8	malkawi	malkawi	PROPN
ejpam-6475	383	9	,	,	PUNCT
ejpam-6475	383	10	d.	d.	PROPN
ejpam-6475	383	11	mahmoud	mahmoud	PROPN
ejpam-6475	383	12	,	,	PUNCT
ejpam-6475	383	13	a.	a.	PROPN
ejpam-6475	383	14	m.	m.	PROPN
ejpam-6475	383	15	rabaiah	rabaiah	PROPN
ejpam-6475	383	16	,	,	PUNCT
ejpam-6475	383	17	r.	r.	PROPN
ejpam-6475	383	18	al	al	PROPN
ejpam-6475	383	19	-	-	PUNCT
ejpam-6475	383	20	deiakeh	deiakeh	PROPN
ejpam-6475	383	21	,	,	PUNCT
ejpam-6475	383	22	and	and	CCONJ
ejpam-6475	383	23	w.	w.	PROPN
ejpam-6475	383	24	shatanawi	shatanawi	PROPN
ejpam-6475	383	25	.	.	PUNCT
ejpam-6475	384	1	on	on	ADP
ejpam-6475	384	2	fixed	fix	VERB
ejpam-6475	384	3	point	point	NOUN
ejpam-6475	384	4	theorems	theorem	NOUN
ejpam-6475	384	5	in	in	ADP
ejpam-6475	384	6	mr	mr	PROPN
ejpam-6475	384	7	-	-	PUNCT
ejpam-6475	384	8	metric	metric	ADJ
ejpam-6475	384	9	spaces	space	NOUN
ejpam-6475	384	10	.	.	PUNCT
ejpam-6475	385	1	nonlinear	nonlinear	ADJ
ejpam-6475	385	2	functional	functional	ADJ
ejpam-6475	385	3	analysis	analysis	NOUN
ejpam-6475	385	4	and	and	CCONJ
ejpam-6475	385	5	applications	application	NOUN
ejpam-6475	385	6	,	,	PUNCT
ejpam-6475	385	7	29(4):1125–1136	29(4):1125–1136	NUM
ejpam-6475	385	8	,	,	PUNCT
ejpam-6475	385	9	2024	2024	NUM
ejpam-6475	385	10	.	.	PUNCT
ejpam-6475	386	1	[	[	X
ejpam-6475	386	2	24	24	NUM
ejpam-6475	386	3	]	]	X
ejpam-6475	386	4	g.	g.	PROPN
ejpam-6475	386	5	m.	m.	PROPN
ejpam-6475	386	6	gharib	gharib	PROPN
ejpam-6475	386	7	,	,	PUNCT
ejpam-6475	386	8	m.	m.	PROPN
ejpam-6475	386	9	s.	s.	PROPN
ejpam-6475	386	10	alsauodi	alsauodi	PROPN
ejpam-6475	386	11	,	,	PUNCT
ejpam-6475	386	12	a.	a.	NOUN
ejpam-6475	386	13	guiatni	guiatni	PROPN
ejpam-6475	386	14	,	,	PUNCT
ejpam-6475	386	15	m.	m.	NOUN
ejpam-6475	386	16	a.	a.	PROPN
ejpam-6475	386	17	al	al	PROPN
ejpam-6475	386	18	-	-	PUNCT
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ejpam-6475	386	20	,	,	PUNCT
ejpam-6475	386	21	and	and	CCONJ
ejpam-6475	386	22	a.	a.	NOUN
ejpam-6475	386	23	a.-r	a.-r	PROPN
ejpam-6475	386	24	.	.	PUNCT
ejpam-6475	387	1	m.	m.	NOUN
ejpam-6475	387	2	malkawi	malkawi	PROPN
ejpam-6475	387	3	.	.	PUNCT
ejpam-6475	388	1	a	a	DET
ejpam-6475	388	2	common	common	ADJ
ejpam-6475	388	3	fixed	fix	VERB
ejpam-6475	388	4	point	point	NOUN
ejpam-6475	388	5	theorem	theorem	VERB
ejpam-6475	388	6	in	in	ADP
ejpam-6475	388	7	m*-metric	m*-metric	ADV
ejpam-6475	388	8	space	space	NOUN
ejpam-6475	388	9	and	and	CCONJ
ejpam-6475	388	10	an	an	DET
ejpam-6475	388	11	application	application	NOUN
ejpam-6475	388	12	.	.	PUNCT
ejpam-6475	389	1	nonlinear	nonlinear	ADJ
ejpam-6475	389	2	functional	functional	ADJ
ejpam-6475	389	3	analysis	analysis	NOUN
ejpam-6475	389	4	and	and	CCONJ
ejpam-6475	389	5	applications	application	NOUN
ejpam-6475	389	6	,	,	PUNCT
ejpam-6475	389	7	27(2):289–308	27(2):289–308	NUM
ejpam-6475	389	8	,	,	PUNCT
ejpam-6475	389	9	2022	2022	NUM
ejpam-6475	389	10	.	.	PUNCT
ejpam-6475	390	1	[	[	X
ejpam-6475	390	2	25	25	NUM
ejpam-6475	390	3	]	]	PUNCT
ejpam-6475	390	4	a.	a.	NOUN
ejpam-6475	390	5	a.	a.	PROPN
ejpam-6475	390	6	r.	r.	PROPN
ejpam-6475	390	7	malkawi	malkawi	PROPN
ejpam-6475	390	8	,	,	PUNCT
ejpam-6475	390	9	a.	a.	NOUN
ejpam-6475	390	10	tallafha	tallafha	NOUN
ejpam-6475	390	11	,	,	PUNCT
ejpam-6475	390	12	and	and	CCONJ
ejpam-6475	390	13	w.	w.	PROPN
ejpam-6475	390	14	shatanawi	shatanawi	PROPN
ejpam-6475	390	15	.	.	PUNCT
ejpam-6475	391	1	coincidence	coincidence	NOUN
ejpam-6475	391	2	and	and	CCONJ
ejpam-6475	391	3	fixed	fix	VERB
ejpam-6475	391	4	point	point	NOUN
ejpam-6475	391	5	results	result	NOUN
ejpam-6475	391	6	for	for	ADP
ejpam-6475	391	7	generalized	generalized	ADJ
ejpam-6475	391	8	weak	weak	ADJ
ejpam-6475	391	9	contraction	contraction	NOUN
ejpam-6475	391	10	mapping	mapping	NOUN
ejpam-6475	391	11	on	on	ADP
ejpam-6475	391	12	b	b	NOUN
ejpam-6475	391	13	-	-	PUNCT
ejpam-6475	391	14	metric	metric	ADJ
ejpam-6475	391	15	spaces	space	NOUN
ejpam-6475	391	16	.	.	PUNCT
ejpam-6475	392	1	nonlinear	nonlinear	ADJ
ejpam-6475	392	2	functional	functional	ADJ
ejpam-6475	392	3	analysis	analysis	NOUN
ejpam-6475	392	4	and	and	CCONJ
ejpam-6475	392	5	applications	application	NOUN
ejpam-6475	392	6	,	,	PUNCT
ejpam-6475	392	7	26(1):177–195	26(1):177–195	NOUN
ejpam-6475	392	8	,	,	PUNCT
ejpam-6475	392	9	2021	2021	NUM
ejpam-6475	392	10	.	.	PUNCT
ejpam-6475	393	1	[	[	X
ejpam-6475	393	2	26	26	NUM
ejpam-6475	393	3	]	]	PUNCT
ejpam-6475	393	4	r.	r.	PROPN
ejpam-6475	393	5	al	al	PROPN
ejpam-6475	393	6	-	-	PUNCT
ejpam-6475	393	7	deiakeh	deiakeh	ADJ
ejpam-6475	393	8	,	,	PUNCT
ejpam-6475	393	9	m.	m.	NOUN
ejpam-6475	393	10	alquran	alquran	PROPN
ejpam-6475	393	11	,	,	PUNCT
ejpam-6475	393	12	m.	m.	PROPN
ejpam-6475	393	13	ali	ali	PROPN
ejpam-6475	393	14	,	,	PUNCT
ejpam-6475	393	15	s.	s.	PROPN
ejpam-6475	393	16	qureshi	qureshi	PROPN
ejpam-6475	393	17	,	,	PUNCT
ejpam-6475	393	18	s.	s.	PROPN
ejpam-6475	393	19	momani	momani	PROPN
ejpam-6475	393	20	,	,	PUNCT
ejpam-6475	393	21	and	and	CCONJ
ejpam-6475	393	22	a.	a.	NOUN
ejpam-6475	393	23	a.	a.	PROPN
ejpam-6475	393	24	r.	r.	PROPN
ejpam-6475	393	25	malkawi	malkawi	PROPN
ejpam-6475	393	26	.	.	PROPN
ejpam-6475	394	1	lie	lie	PROPN
ejpam-6475	394	2	symmetry	symmetry	NOUN
ejpam-6475	394	3	,	,	PUNCT
ejpam-6475	394	4	convergence	convergence	NOUN
ejpam-6475	394	5	analysis	analysis	NOUN
ejpam-6475	394	6	,	,	PUNCT
ejpam-6475	394	7	explicit	explicit	ADJ
ejpam-6475	394	8	solutions	solution	NOUN
ejpam-6475	394	9	,	,	PUNCT
ejpam-6475	394	10	and	and	CCONJ
ejpam-6475	394	11	conservation	conservation	NOUN
ejpam-6475	394	12	laws	law	NOUN
ejpam-6475	394	13	for	for	ADP
ejpam-6475	394	14	the	the	DET
ejpam-6475	394	15	timefractional	timefractional	ADJ
ejpam-6475	394	16	modified	modify	VERB
ejpam-6475	394	17	benjamin	benjamin	PROPN
ejpam-6475	394	18	-	-	PUNCT
ejpam-6475	394	19	bona	bona	ADJ
ejpam-6475	394	20	-	-	PUNCT
ejpam-6475	394	21	mahony	mahony	NOUN
ejpam-6475	394	22	equation	equation	NOUN
ejpam-6475	394	23	.	.	PUNCT
ejpam-6475	395	1	journal	journal	PROPN
ejpam-6475	395	2	of	of	ADP
ejpam-6475	395	3	applied	apply	VERB
ejpam-6475	395	4	mathematics	mathematic	NOUN
ejpam-6475	395	5	and	and	CCONJ
ejpam-6475	395	6	computational	computational	ADJ
ejpam-6475	395	7	mechanics	mechanic	NOUN
ejpam-6475	395	8	,	,	PUNCT
ejpam-6475	395	9	23(1):19–31	23(1):19–31	NUM
ejpam-6475	395	10	,	,	PUNCT
ejpam-6475	395	11	2024	2024	NUM
ejpam-6475	395	12	.	.	PUNCT
ejpam-6475	396	1	[	[	X
ejpam-6475	396	2	27	27	NUM
ejpam-6475	396	3	]	]	PUNCT
ejpam-6475	396	4	s.	s.	PROPN
ejpam-6475	396	5	al	al	PROPN
ejpam-6475	396	6	-	-	PUNCT
ejpam-6475	396	7	sharif	sharif	PROPN
ejpam-6475	396	8	and	and	CCONJ
ejpam-6475	396	9	a.	a.	NOUN
ejpam-6475	396	10	malkawi	malkawi	PROPN
ejpam-6475	396	11	.	.	PUNCT
ejpam-6475	397	1	modification	modification	NOUN
ejpam-6475	397	2	of	of	ADP
ejpam-6475	397	3	conformable	conformable	ADJ
ejpam-6475	397	4	fractional	fractional	ADJ
ejpam-6475	397	5	derivative	derivative	NOUN
ejpam-6475	397	6	with	with	ADP
ejpam-6475	397	7	a.	a.	NOUN
ejpam-6475	397	8	malkawi	malkawi	PROPN
ejpam-6475	397	9	/	/	SYM
ejpam-6475	397	10	eur	eur	PROPN
ejpam-6475	397	11	.	.	PUNCT
ejpam-6475	398	1	j.	j.	PROPN
ejpam-6475	398	2	pure	pure	PROPN
ejpam-6475	398	3	appl	appl	PROPN
ejpam-6475	398	4	.	.	PROPN
ejpam-6475	398	5	math	math	PROPN
ejpam-6475	398	6	,	,	PUNCT
ejpam-6475	398	7	18	18	NUM
ejpam-6475	398	8	(	(	PUNCT
ejpam-6475	398	9	3	3	NUM
ejpam-6475	398	10	)	)	PUNCT
ejpam-6475	398	11	(	(	PUNCT
ejpam-6475	398	12	2025	2025	NUM
ejpam-6475	398	13	)	)	PUNCT
ejpam-6475	398	14	,	,	PUNCT
ejpam-6475	398	15	6475	6475	NUM
ejpam-6475	398	16	20	20	NUM
ejpam-6475	398	17	of	of	ADP
ejpam-6475	398	18	20	20	NUM
ejpam-6475	398	19	classical	classical	ADJ
ejpam-6475	398	20	properties	property	NOUN
ejpam-6475	398	21	.	.	PUNCT
ejpam-6475	399	1	italian	italian	ADJ
ejpam-6475	399	2	journal	journal	NOUN
ejpam-6475	399	3	of	of	ADP
ejpam-6475	399	4	pure	pure	ADJ
ejpam-6475	399	5	and	and	CCONJ
ejpam-6475	399	6	applied	applied	ADJ
ejpam-6475	399	7	mathematics	mathematic	NOUN
ejpam-6475	399	8	,	,	PUNCT
ejpam-6475	399	9	44:30–39	44:30–39	PROPN
ejpam-6475	399	10	,	,	PUNCT
ejpam-6475	399	11	2020	2020	NUM
ejpam-6475	399	12	.	.	PUNCT
ejpam-6475	400	1	[	[	X
ejpam-6475	400	2	28	28	NUM
ejpam-6475	400	3	]	]	X
ejpam-6475	400	4	g.	g.	PROPN
ejpam-6475	400	5	m.	m.	PROPN
ejpam-6475	400	6	gharib	gharib	PROPN
ejpam-6475	400	7	,	,	PUNCT
ejpam-6475	400	8	m.	m.	PROPN
ejpam-6475	400	9	s.	s.	PROPN
ejpam-6475	400	10	alsauodi	alsauodi	PROPN
ejpam-6475	400	11	,	,	PUNCT
ejpam-6475	400	12	a.	a.	NOUN
ejpam-6475	400	13	guiatni	guiatni	PROPN
ejpam-6475	400	14	,	,	PUNCT
ejpam-6475	400	15	m.	m.	NOUN
ejpam-6475	400	16	a.	a.	PROPN
ejpam-6475	400	17	al	al	PROPN
ejpam-6475	400	18	-	-	PUNCT
ejpam-6475	400	19	omari	omari	PROPN
ejpam-6475	400	20	,	,	PUNCT
ejpam-6475	400	21	and	and	CCONJ
ejpam-6475	400	22	a.	a.	NOUN
ejpam-6475	400	23	a.-r	a.-r	PROPN
ejpam-6475	400	24	.	.	PUNCT
ejpam-6475	401	1	m.	m.	NOUN
ejpam-6475	401	2	malkawi	malkawi	PROPN
ejpam-6475	401	3	.	.	PUNCT
ejpam-6475	402	1	using	use	VERB
ejpam-6475	402	2	atomic	atomic	ADJ
ejpam-6475	402	3	solution	solution	NOUN
ejpam-6475	402	4	method	method	NOUN
ejpam-6475	402	5	to	to	PART
ejpam-6475	402	6	solve	solve	VERB
ejpam-6475	402	7	the	the	DET
ejpam-6475	402	8	fractional	fractional	ADJ
ejpam-6475	402	9	equations	equation	NOUN
ejpam-6475	402	10	.	.	PUNCT
ejpam-6475	403	1	springer	springer	NOUN
ejpam-6475	403	2	proceedings	proceeding	NOUN
ejpam-6475	403	3	in	in	ADP
ejpam-6475	403	4	mathematics	mathematic	NOUN
ejpam-6475	403	5	and	and	CCONJ
ejpam-6475	403	6	statistics	statistic	NOUN
ejpam-6475	403	7	,	,	PUNCT
ejpam-6475	403	8	418:123–129	418:123–129	NUM
ejpam-6475	403	9	,	,	PUNCT
ejpam-6475	403	10	2023	2023	NUM
ejpam-6475	403	11	.	.	PUNCT
ejpam-6475	404	1	[	[	X
ejpam-6475	404	2	29	29	NUM
ejpam-6475	404	3	]	]	X
ejpam-6475	404	4	a.	a.	NOUN
ejpam-6475	404	5	malkawi	malkawi	PROPN
ejpam-6475	404	6	.	.	PUNCT
ejpam-6475	404	7	fixed	fix	VERB
ejpam-6475	404	8	point	point	NOUN
ejpam-6475	404	9	theorems	theorem	NOUN
ejpam-6475	404	10	for	for	ADP
ejpam-6475	404	11	fuzzy	fuzzy	ADJ
ejpam-6475	404	12	mappings	mapping	NOUN
ejpam-6475	404	13	in	in	ADP
ejpam-6475	404	14	neutrosophic	neutrosophic	ADJ
ejpam-6475	404	15	mr	mr	PROPN
ejpam-6475	404	16	-	-	PUNCT
ejpam-6475	404	17	metric	metric	ADJ
ejpam-6475	404	18	spaces	space	NOUN
ejpam-6475	404	19	.	.	PUNCT
ejpam-6475	405	1	preprint	preprint	NOUN
ejpam-6475	405	2	,	,	PUNCT
ejpam-6475	405	3	2025	2025	NUM
ejpam-6475	405	4	.	.	PUNCT
ejpam-6475	406	1	[	[	X
ejpam-6475	406	2	30	30	NUM
ejpam-6475	406	3	]	]	PUNCT
ejpam-6475	406	4	a.	a.	NOUN
ejpam-6475	406	5	george	george	PROPN
ejpam-6475	406	6	and	and	CCONJ
ejpam-6475	406	7	p.	p.	PROPN
ejpam-6475	406	8	veeramani	veeramani	PROPN
ejpam-6475	406	9	.	.	PUNCT
ejpam-6475	407	1	on	on	ADP
ejpam-6475	407	2	some	some	DET
ejpam-6475	407	3	results	result	NOUN
ejpam-6475	407	4	in	in	ADP
ejpam-6475	407	5	fuzzy	fuzzy	ADJ
ejpam-6475	407	6	metric	metric	ADJ
ejpam-6475	407	7	spaces	space	NOUN
ejpam-6475	407	8	.	.	PUNCT
ejpam-6475	408	1	fuzzy	fuzzy	ADJ
ejpam-6475	408	2	sets	set	NOUN
ejpam-6475	408	3	and	and	CCONJ
ejpam-6475	408	4	systems	system	NOUN
ejpam-6475	408	5	,	,	PUNCT
ejpam-6475	408	6	64(3):395–399	64(3):395–399	PROPN
ejpam-6475	408	7	,	,	PUNCT
ejpam-6475	408	8	1994	1994	NUM
ejpam-6475	408	9	.	.	PUNCT